Library PrimeGapS1.Witness

From Stdlib Require Import ZArith List.
From Bignums Require Import BigZ.
Import ListNotations.
From PrimeGapS1 Require Import Recompose.
Open Scope Z_scope.

Definition basis : list (nat × nat) :=
  [ (0%nat, 0%nat); (1%nat, 0%nat); (0%nat, 1%nat); (2%nat, 0%nat)
  ; (1%nat, 1%nat); (3%nat, 0%nat); (0%nat, 2%nat); (2%nat, 1%nat)
  ; (4%nat, 0%nat); (1%nat, 2%nat); (3%nat, 1%nat); (5%nat, 0%nat)
  ; (0%nat, 3%nat); (2%nat, 2%nat); (4%nat, 1%nat); (6%nat, 0%nat)
  ; (1%nat, 3%nat); (3%nat, 2%nat); (5%nat, 1%nat); (7%nat, 0%nat)
  ; (0%nat, 4%nat); (2%nat, 3%nat); (4%nat, 2%nat); (6%nat, 1%nat)
  ; (8%nat, 0%nat); (1%nat, 4%nat); (3%nat, 3%nat); (5%nat, 2%nat)
  ; (7%nat, 1%nat); (9%nat, 0%nat); (0%nat, 5%nat); (2%nat, 4%nat)
  ; (4%nat, 3%nat); (6%nat, 2%nat); (8%nat, 1%nat); (10%nat, 0%nat)
  ; (1%nat, 5%nat); (3%nat, 4%nat); (5%nat, 3%nat); (7%nat, 2%nat)
  ; (9%nat, 1%nat); (11%nat, 0%nat) ].

Definition D_M1 : Z := 0xFC2F942D52837EE16F566FC232C9ABF240B9EBC52DE1483177884E6C9160378367C573C10B5383505C44F66FD332FAD4325E52DB60510CC40FD6D3FFAD1F40B8775AD19EB7D888200000000000000000000000000%Z.

Definition M1_int : list (list Z) :=
  [
  [
   0x3701A3A60F6A94F8194FB03A6F2390%Z ;
   0x84D87CBC85D5EF0511A84DD593A8%Z ;
   0x104B9A1124C0D240EBBC6BA411370%Z ;
   0x27BAC335FCF5CFDB3C4F0B509F0%Z ;
   0x26A03DC9D260C2F8B385BCC7454%Z ;
   0x11A856C2A950CE288C94E8959C%Z ;
   0x4DF5EB188563014CDD6BDFA9AF0%Z ;
   0xB56F84E0A17B5B7660661B248%Z ;
   0xA5E24D9A2D3D95738B560A30%Z ;
   0xB56F84E0A17B5B7660661B248%Z ;
   0x4F2C0220DB6907543CAEE1F4%Z ;
   0x78A4958766B86CB11F84648%Z ;
   0x178A933A39EFE3EBC62D088B10%Z ;
   0x344E469865E79936E2220C70%Z ;
   0x2DA60F10A368607A5EF3D30%Z ;
   0x6856FDDCE337B7F3222D50%Z ;
   0x35CF0760846D76AD32B01387%Z ;
   0x166AB08A74D0F8853C57BC3%Z ;
   0x209B2F550701697BFAAE29%Z ;
   0x6856FDDCE337B7F3222D5%Z ;
   0x72ED84B1D4343A04D632C058%Z ;
   0xF3CE4A342F3F44C3BA9EEE%Z ;
   0xCB23B357F545F71F965CC%Z ;
   0x1BB369E915CF5BE165F56%Z ;
   0x7630B2D16E1F65E3D528%Z ;
   0x102155FE02D5ED32151498C%Z ;
   0x66A7B37449C9CC1C8478D%Z ;
   0x8E8DD3304055073E966E%Z ;
   0x1B3700C110EFA69E9115%Z ;
   0x954AFCD2A60CB6990D4%Z ;
   0x2375668D0F728DC8EABD728%Z ;
   0x47D08587D732DF7ACD288%Z ;
   0x392139931507ADB25FFC%Z ;
   0x7700690FCAD9E6E1E1C%Z ;
   0x1E4A93C2DB32CFB72B8%Z ;
   0xCFB63E5CBA80FE0C98%Z ;
   0x4E40E251C9D0ABA9BF6D2%Z ;
   0x1DB76364590C3929FC9E%Z ;
   0x27665CAC0E80E1B8CF7%Z ;
   0x72E5E9DA4845258AA5%Z ;
   0x259A5F26DB2497EC36%Z ;
   0x13B2629A72CA066F8A%Z
  ] ;
  [
   0x84D87CBC85D5EF0511A84DD593A8%Z ;
   0x27BAC335FCF5CFDB3C4F0B509F0%Z ;
   0x26A03DC9D260C2F8B385BCC7454%Z ;
   0x11A856C2A950CE288C94E8959C%Z ;
   0xB56F84E0A17B5B7660661B248%Z ;
   0xA5E24D9A2D3D95738B560A30%Z ;
   0xB56F84E0A17B5B7660661B248%Z ;
   0x4F2C0220DB6907543CAEE1F4%Z ;
   0x78A4958766B86CB11F84648%Z ;
   0x344E469865E79936E2220C70%Z ;
   0x2DA60F10A368607A5EF3D30%Z ;
   0x6856FDDCE337B7F3222D50%Z ;
   0x35CF0760846D76AD32B01387%Z ;
   0x166AB08A74D0F8853C57BC3%Z ;
   0x209B2F550701697BFAAE29%Z ;
   0x6856FDDCE337B7F3222D5%Z ;
   0xF3CE4A342F3F44C3BA9EEE%Z ;
   0xCB23B357F545F71F965CC%Z ;
   0x1BB369E915CF5BE165F56%Z ;
   0x7630B2D16E1F65E3D528%Z ;
   0x102155FE02D5ED32151498C%Z ;
   0x66A7B37449C9CC1C8478D%Z ;
   0x8E8DD3304055073E966E%Z ;
   0x1B3700C110EFA69E9115%Z ;
   0x954AFCD2A60CB6990D4%Z ;
   0x47D08587D732DF7ACD288%Z ;
   0x392139931507ADB25FFC%Z ;
   0x7700690FCAD9E6E1E1C%Z ;
   0x1E4A93C2DB32CFB72B8%Z ;
   0xCFB63E5CBA80FE0C98%Z ;
   0x4E40E251C9D0ABA9BF6D2%Z ;
   0x1DB76364590C3929FC9E%Z ;
   0x27665CAC0E80E1B8CF7%Z ;
   0x72E5E9DA4845258AA5%Z ;
   0x259A5F26DB2497EC36%Z ;
   0x13B2629A72CA066F8A%Z ;
   0x15671453A2693583C294%Z ;
   0x10414E6FC7AF2A35998%Z ;
   0x2053FD44F8353C7D62%Z ;
   0x7DB352FBEECA8DB88%Z ;
   0x336C44DB6D52DCE2C%Z ;
   0x2052AEF05358A8198%Z
  ] ;
  [
   0x104B9A1124C0D240EBBC6BA411370%Z ;
   0x26A03DC9D260C2F8B385BCC7454%Z ;
   0x4DF5EB188563014CDD6BDFA9AF0%Z ;
   0xB56F84E0A17B5B7660661B248%Z ;
   0xB56F84E0A17B5B7660661B248%Z ;
   0x4F2C0220DB6907543CAEE1F4%Z ;
   0x178A933A39EFE3EBC62D088B10%Z ;
   0x344E469865E79936E2220C70%Z ;
   0x2DA60F10A368607A5EF3D30%Z ;
   0x35CF0760846D76AD32B01387%Z ;
   0x166AB08A74D0F8853C57BC3%Z ;
   0x209B2F550701697BFAAE29%Z ;
   0x72ED84B1D4343A04D632C058%Z ;
   0xF3CE4A342F3F44C3BA9EEE%Z ;
   0xCB23B357F545F71F965CC%Z ;
   0x1BB369E915CF5BE165F56%Z ;
   0x102155FE02D5ED32151498C%Z ;
   0x66A7B37449C9CC1C8478D%Z ;
   0x8E8DD3304055073E966E%Z ;
   0x1B3700C110EFA69E9115%Z ;
   0x2375668D0F728DC8EABD728%Z ;
   0x47D08587D732DF7ACD288%Z ;
   0x392139931507ADB25FFC%Z ;
   0x7700690FCAD9E6E1E1C%Z ;
   0x1E4A93C2DB32CFB72B8%Z ;
   0x4E40E251C9D0ABA9BF6D2%Z ;
   0x1DB76364590C3929FC9E%Z ;
   0x27665CAC0E80E1B8CF7%Z ;
   0x72E5E9DA4845258AA5%Z ;
   0x259A5F26DB2497EC36%Z ;
   0xB12493AC88E82A8ABE848%Z ;
   0x15671453A2693583C294%Z ;
   0x10414E6FC7AF2A35998%Z ;
   0x2053FD44F8353C7D62%Z ;
   0x7DB352FBEECA8DB88%Z ;
   0x336C44DB6D52DCE2C%Z ;
   0x1804F5A694BBAEFD1E2C%Z ;
   0x8B4C72F09A8A09DBBA%Z ;
   0xB053984309977BC34%Z ;
   0x1EAF2D2316FA1F615%Z ;
   0x9965AF080DB6196C%Z ;
   0x4CB2D78406DB0CB6%Z
  ] ;
  [
   0x27BAC335FCF5CFDB3C4F0B509F0%Z ;
   0x11A856C2A950CE288C94E8959C%Z ;
   0xB56F84E0A17B5B7660661B248%Z ;
   0xA5E24D9A2D3D95738B560A30%Z ;
   0x4F2C0220DB6907543CAEE1F4%Z ;
   0x78A4958766B86CB11F84648%Z ;
   0x344E469865E79936E2220C70%Z ;
   0x2DA60F10A368607A5EF3D30%Z ;
   0x6856FDDCE337B7F3222D50%Z ;
   0x166AB08A74D0F8853C57BC3%Z ;
   0x209B2F550701697BFAAE29%Z ;
   0x6856FDDCE337B7F3222D5%Z ;
   0xF3CE4A342F3F44C3BA9EEE%Z ;
   0xCB23B357F545F71F965CC%Z ;
   0x1BB369E915CF5BE165F56%Z ;
   0x7630B2D16E1F65E3D528%Z ;
   0x66A7B37449C9CC1C8478D%Z ;
   0x8E8DD3304055073E966E%Z ;
   0x1B3700C110EFA69E9115%Z ;
   0x954AFCD2A60CB6990D4%Z ;
   0x47D08587D732DF7ACD288%Z ;
   0x392139931507ADB25FFC%Z ;
   0x7700690FCAD9E6E1E1C%Z ;
   0x1E4A93C2DB32CFB72B8%Z ;
   0xCFB63E5CBA80FE0C98%Z ;
   0x1DB76364590C3929FC9E%Z ;
   0x27665CAC0E80E1B8CF7%Z ;
   0x72E5E9DA4845258AA5%Z ;
   0x259A5F26DB2497EC36%Z ;
   0x13B2629A72CA066F8A%Z ;
   0x15671453A2693583C294%Z ;
   0x10414E6FC7AF2A35998%Z ;
   0x2053FD44F8353C7D62%Z ;
   0x7DB352FBEECA8DB88%Z ;
   0x336C44DB6D52DCE2C%Z ;
   0x2052AEF05358A8198%Z ;
   0x8B4C72F09A8A09DBBA%Z ;
   0xB053984309977BC34%Z ;
   0x1EAF2D2316FA1F615%Z ;
   0x9965AF080DB6196C%Z ;
   0x4CB2D78406DB0CB6%Z ;
   0x38F9E1ED0C683554%Z
  ] ;
  [
   0x26A03DC9D260C2F8B385BCC7454%Z ;
   0xB56F84E0A17B5B7660661B248%Z ;
   0xB56F84E0A17B5B7660661B248%Z ;
   0x4F2C0220DB6907543CAEE1F4%Z ;
   0x344E469865E79936E2220C70%Z ;
   0x2DA60F10A368607A5EF3D30%Z ;
   0x35CF0760846D76AD32B01387%Z ;
   0x166AB08A74D0F8853C57BC3%Z ;
   0x209B2F550701697BFAAE29%Z ;
   0xF3CE4A342F3F44C3BA9EEE%Z ;
   0xCB23B357F545F71F965CC%Z ;
   0x1BB369E915CF5BE165F56%Z ;
   0x102155FE02D5ED32151498C%Z ;
   0x66A7B37449C9CC1C8478D%Z ;
   0x8E8DD3304055073E966E%Z ;
   0x1B3700C110EFA69E9115%Z ;
   0x47D08587D732DF7ACD288%Z ;
   0x392139931507ADB25FFC%Z ;
   0x7700690FCAD9E6E1E1C%Z ;
   0x1E4A93C2DB32CFB72B8%Z ;
   0x4E40E251C9D0ABA9BF6D2%Z ;
   0x1DB76364590C3929FC9E%Z ;
   0x27665CAC0E80E1B8CF7%Z ;
   0x72E5E9DA4845258AA5%Z ;
   0x259A5F26DB2497EC36%Z ;
   0x15671453A2693583C294%Z ;
   0x10414E6FC7AF2A35998%Z ;
   0x2053FD44F8353C7D62%Z ;
   0x7DB352FBEECA8DB88%Z ;
   0x336C44DB6D52DCE2C%Z ;
   0x1804F5A694BBAEFD1E2C%Z ;
   0x8B4C72F09A8A09DBBA%Z ;
   0xB053984309977BC34%Z ;
   0x1EAF2D2316FA1F615%Z ;
   0x9965AF080DB6196C%Z ;
   0x4CB2D78406DB0CB6%Z ;
   0x6758071A29E0855468%Z ;
   0x4AEABA96E9B3A6A58%Z ;
   0x8E3F22A1A4C7A688%Z ;
   0x210143E982206698%Z ;
   0xCE3F93227DFF988%Z ;
   0x7BBFBEAE4B995B8%Z
  ] ;
  [
   0x11A856C2A950CE288C94E8959C%Z ;
   0xA5E24D9A2D3D95738B560A30%Z ;
   0x4F2C0220DB6907543CAEE1F4%Z ;
   0x78A4958766B86CB11F84648%Z ;
   0x2DA60F10A368607A5EF3D30%Z ;
   0x6856FDDCE337B7F3222D50%Z ;
   0x166AB08A74D0F8853C57BC3%Z ;
   0x209B2F550701697BFAAE29%Z ;
   0x6856FDDCE337B7F3222D5%Z ;
   0xCB23B357F545F71F965CC%Z ;
   0x1BB369E915CF5BE165F56%Z ;
   0x7630B2D16E1F65E3D528%Z ;
   0x66A7B37449C9CC1C8478D%Z ;
   0x8E8DD3304055073E966E%Z ;
   0x1B3700C110EFA69E9115%Z ;
   0x954AFCD2A60CB6990D4%Z ;
   0x392139931507ADB25FFC%Z ;
   0x7700690FCAD9E6E1E1C%Z ;
   0x1E4A93C2DB32CFB72B8%Z ;
   0xCFB63E5CBA80FE0C98%Z ;
   0x1DB76364590C3929FC9E%Z ;
   0x27665CAC0E80E1B8CF7%Z ;
   0x72E5E9DA4845258AA5%Z ;
   0x259A5F26DB2497EC36%Z ;
   0x13B2629A72CA066F8A%Z ;
   0x10414E6FC7AF2A35998%Z ;
   0x2053FD44F8353C7D62%Z ;
   0x7DB352FBEECA8DB88%Z ;
   0x336C44DB6D52DCE2C%Z ;
   0x2052AEF05358A8198%Z ;
   0x8B4C72F09A8A09DBBA%Z ;
   0xB053984309977BC34%Z ;
   0x1EAF2D2316FA1F615%Z ;
   0x9965AF080DB6196C%Z ;
   0x4CB2D78406DB0CB6%Z ;
   0x38F9E1ED0C683554%Z ;
   0x4AEABA96E9B3A6A58%Z ;
   0x8E3F22A1A4C7A688%Z ;
   0x210143E982206698%Z ;
   0xCE3F93227DFF988%Z ;
   0x7BBFBEAE4B995B8%Z ;
   0x6B3FC763DB1E828%Z
  ] ;
  [
   0x4DF5EB188563014CDD6BDFA9AF0%Z ;
   0xB56F84E0A17B5B7660661B248%Z ;
   0x178A933A39EFE3EBC62D088B10%Z ;
   0x344E469865E79936E2220C70%Z ;
   0x35CF0760846D76AD32B01387%Z ;
   0x166AB08A74D0F8853C57BC3%Z ;
   0x72ED84B1D4343A04D632C058%Z ;
   0xF3CE4A342F3F44C3BA9EEE%Z ;
   0xCB23B357F545F71F965CC%Z ;
   0x102155FE02D5ED32151498C%Z ;
   0x66A7B37449C9CC1C8478D%Z ;
   0x8E8DD3304055073E966E%Z ;
   0x2375668D0F728DC8EABD728%Z ;
   0x47D08587D732DF7ACD288%Z ;
   0x392139931507ADB25FFC%Z ;
   0x7700690FCAD9E6E1E1C%Z ;
   0x4E40E251C9D0ABA9BF6D2%Z ;
   0x1DB76364590C3929FC9E%Z ;
   0x27665CAC0E80E1B8CF7%Z ;
   0x72E5E9DA4845258AA5%Z ;
   0xB12493AC88E82A8ABE848%Z ;
   0x15671453A2693583C294%Z ;
   0x10414E6FC7AF2A35998%Z ;
   0x2053FD44F8353C7D62%Z ;
   0x7DB352FBEECA8DB88%Z ;
   0x1804F5A694BBAEFD1E2C%Z ;
   0x8B4C72F09A8A09DBBA%Z ;
   0xB053984309977BC34%Z ;
   0x1EAF2D2316FA1F615%Z ;
   0x9965AF080DB6196C%Z ;
   0x380843DF709F252EADB8%Z ;
   0x6758071A29E0855468%Z ;
   0x4AEABA96E9B3A6A58%Z ;
   0x8E3F22A1A4C7A688%Z ;
   0x210143E982206698%Z ;
   0xCE3F93227DFF988%Z ;
   0x778919542375A4A7D9%Z ;
   0x2956693DAA59CEEE9%Z ;
   0x31F1D1B9F1226F19%Z ;
   0x84C375A7EF20BD9%Z ;
   0x279B1E4B68F3AE5%Z ;
   0x12E7F6054B8CC35%Z
  ] ;
  [
   0xB56F84E0A17B5B7660661B248%Z ;
   0x4F2C0220DB6907543CAEE1F4%Z ;
   0x344E469865E79936E2220C70%Z ;
   0x2DA60F10A368607A5EF3D30%Z ;
   0x166AB08A74D0F8853C57BC3%Z ;
   0x209B2F550701697BFAAE29%Z ;
   0xF3CE4A342F3F44C3BA9EEE%Z ;
   0xCB23B357F545F71F965CC%Z ;
   0x1BB369E915CF5BE165F56%Z ;
   0x66A7B37449C9CC1C8478D%Z ;
   0x8E8DD3304055073E966E%Z ;
   0x1B3700C110EFA69E9115%Z ;
   0x47D08587D732DF7ACD288%Z ;
   0x392139931507ADB25FFC%Z ;
   0x7700690FCAD9E6E1E1C%Z ;
   0x1E4A93C2DB32CFB72B8%Z ;
   0x1DB76364590C3929FC9E%Z ;
   0x27665CAC0E80E1B8CF7%Z ;
   0x72E5E9DA4845258AA5%Z ;
   0x259A5F26DB2497EC36%Z ;
   0x15671453A2693583C294%Z ;
   0x10414E6FC7AF2A35998%Z ;
   0x2053FD44F8353C7D62%Z ;
   0x7DB352FBEECA8DB88%Z ;
   0x336C44DB6D52DCE2C%Z ;
   0x8B4C72F09A8A09DBBA%Z ;
   0xB053984309977BC34%Z ;
   0x1EAF2D2316FA1F615%Z ;
   0x9965AF080DB6196C%Z ;
   0x4CB2D78406DB0CB6%Z ;
   0x6758071A29E0855468%Z ;
   0x4AEABA96E9B3A6A58%Z ;
   0x8E3F22A1A4C7A688%Z ;
   0x210143E982206698%Z ;
   0xCE3F93227DFF988%Z ;
   0x7BBFBEAE4B995B8%Z ;
   0x2956693DAA59CEEE9%Z ;
   0x31F1D1B9F1226F19%Z ;
   0x84C375A7EF20BD9%Z ;
   0x279B1E4B68F3AE5%Z ;
   0x12E7F6054B8CC35%Z ;
   0xD67F8EC7B63D05%Z
  ] ;
  [
   0xA5E24D9A2D3D95738B560A30%Z ;
   0x78A4958766B86CB11F84648%Z ;
   0x2DA60F10A368607A5EF3D30%Z ;
   0x6856FDDCE337B7F3222D50%Z ;
   0x209B2F550701697BFAAE29%Z ;
   0x6856FDDCE337B7F3222D5%Z ;
   0xCB23B357F545F71F965CC%Z ;
   0x1BB369E915CF5BE165F56%Z ;
   0x7630B2D16E1F65E3D528%Z ;
   0x8E8DD3304055073E966E%Z ;
   0x1B3700C110EFA69E9115%Z ;
   0x954AFCD2A60CB6990D4%Z ;
   0x392139931507ADB25FFC%Z ;
   0x7700690FCAD9E6E1E1C%Z ;
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   0x13210500103E%Z ;
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   0xB44856134B3%Z ;
   0xA598C4EC9E8%Z ;
   0x38457F43254%Z ;
   0x1D61D26EB08%Z ;
   0x1628181A54E%Z ;
   0x17137FC0EF0%Z ;
   0x2D9AF230579%Z ;
   0xBD40E10E6C%Z ;
   0x4E99F6D7B2%Z ;
   0x3080F9DB4C%Z ;
   0x2A33FD25F7%Z ;
   0x31D0B24308%Z ;
   0x2DF6DFF038%Z ;
   0xEE6DF53C8%Z ;
   0x76D49B7A8%Z ;
   0x558CCEDD8%Z ;
   0x55121E890%Z ;
   0x70F780170%Z
  ] ;
  [
   0x259A5F26DB2497EC36%Z ;
   0x336C44DB6D52DCE2C%Z ;
   0x9965AF080DB6196C%Z ;
   0x4CB2D78406DB0CB6%Z ;
   0xCE3F93227DFF988%Z ;
   0x7BBFBEAE4B995B8%Z ;
   0x279B1E4B68F3AE5%Z ;
   0x12E7F6054B8CC35%Z ;
   0xD67F8EC7B63D05%Z ;
   0x345F193FBFAC02%Z ;
   0x1DFFF02A40DF5C%Z ;
   0x18D167438972F6%Z ;
   0xA5C52046F3274%Z ;
   0x4B8D6360297E7%Z ;
   0x3325AA3FA528E%Z ;
   0x30D27F99D7D59%Z ;
   0xD7A2C400B718%Z ;
   0x75EF6F6A663C%Z ;
   0x5D255FAC1A0C%Z ;
   0x659D228D33B0%Z ;
   0x2BF64B6C751A%Z ;
   0x13210500103E%Z ;
   0xC5D3B2A1F5D%Z ;
   0xB44856134B3%Z ;
   0xDEE511FBED4%Z ;
   0x38457F43254%Z ;
   0x1D61D26EB08%Z ;
   0x1628181A54E%Z ;
   0x17137FC0EF0%Z ;
   0x2018CB4B308%Z ;
   0xBD40E10E6C%Z ;
   0x4E99F6D7B2%Z ;
   0x3080F9DB4C%Z ;
   0x2A33FD25F7%Z ;
   0x31D0B24308%Z ;
   0x4D70A56834%Z ;
   0xEE6DF53C8%Z ;
   0x76D49B7A8%Z ;
   0x558CCEDD8%Z ;
   0x55121E890%Z ;
   0x70F780170%Z ;
   0xC31FDD3F0%Z
  ] ;
  [
   0x13B2629A72CA066F8A%Z ;
   0x2052AEF05358A8198%Z ;
   0x4CB2D78406DB0CB6%Z ;
   0x38F9E1ED0C683554%Z ;
   0x7BBFBEAE4B995B8%Z ;
   0x6B3FC763DB1E828%Z ;
   0x12E7F6054B8CC35%Z ;
   0xD67F8EC7B63D05%Z ;
   0xD67F8EC7B63D05%Z ;
   0x1DFFF02A40DF5C%Z ;
   0x18D167438972F6%Z ;
   0x1C5D084D2F5ED0%Z ;
   0x4B8D6360297E7%Z ;
   0x3325AA3FA528E%Z ;
   0x30D27F99D7D59%Z ;
   0x3F3C880437408%Z ;
   0x75EF6F6A663C%Z ;
   0x5D255FAC1A0C%Z ;
   0x659D228D33B0%Z ;
   0x9410DA933CB0%Z ;
   0x13210500103E%Z ;
   0xC5D3B2A1F5D%Z ;
   0xB44856134B3%Z ;
   0xDEE511FBED4%Z ;
   0x16B00075873C%Z ;
   0x1D61D26EB08%Z ;
   0x1628181A54E%Z ;
   0x17137FC0EF0%Z ;
   0x2018CB4B308%Z ;
   0x3A147C0E270%Z ;
   0x4E99F6D7B2%Z ;
   0x3080F9DB4C%Z ;
   0x2A33FD25F7%Z ;
   0x31D0B24308%Z ;
   0x4D70A56834%Z ;
   0x9AE14AD068%Z ;
   0x76D49B7A8%Z ;
   0x558CCEDD8%Z ;
   0x55121E890%Z ;
   0x70F780170%Z ;
   0xC31FDD3F0%Z ;
   0x1AD4619F10%Z
  ]
  ].

Definition D_M2 : Z := 0xD0DC403D4E2053E8D21342851FA3ADA7EC1B35E648DCFB8081C906071BB53E976D13F8E3038DAF45FF2FCEA330BDF8B2B3F22846A6228297884598001DD270F78B4FA8919F9B775AA8000000000000000000000000000%Z.

Definition M2_int : list (list Z) :=
  [
  [
   0xDC0BAA9D09D6DC1AD1BF6EC558766400%Z ;
   0x315B23E03BA0A435DDB34FDFB424200%Z ;
   0x4096DFEFB653CD6941BB3F709991400%Z ;
   0x137FA90992D0D893B33D5B9ABF4400%Z ;
   0xE2D41F268FBA9355E80930AEEE100%Z ;
   0xABBB3F27B175D61BE42A7DB0DB00%Z ;
   0x132411F8F51CDDFF601900AD0B9C00%Z ;
   0x57D7DDE660FACD17E2DE30C71200%Z ;
   0x77E656EA5FF8E7682F979D92C00%Z ;
   0x41CDFA107096A0C3CE96A9A0CA00%Z ;
   0x2F7014EF2E0B07C265DB5037900%Z ;
   0x64D10DE30DD085132EEFB98A00%Z ;
   0x5BACDFCC97C630313C5BAD93B200%Z ;
   0x18FD65BA594D43D0D63130B6200%Z ;
   0x20821A6BB1E854B4AF01057E00%Z ;
   0x62C256BF12C1D0B9F9BBCFE00%Z ;
   0x134A62F269F15160B35701082C0%Z ;
   0xD3E70635BA76E4627BCE2A1C0%Z ;
   0x1AD69B292A018211500B1C140%Z ;
   0x6E1EED2FACB3DD696C8D7440%Z ;
   0x1BBC65E6F6F3EC83140460A7600%Z ;
   0x72FA5EE184569930B5C23CF80%Z ;
   0x8E934ECC10F50A83CA115300%Z ;
   0x19D211D4B6A5381F22A63180%Z ;
   0x8961F77FD7F4DA569C62A00%Z ;
   0x5B7B228F430677D07A8D6D700%Z ;
   0x3BD1CDB9057C89039D4D3240%Z ;
   0x739BED7381717A76BB17D80%Z ;
   0x1C486CFF706900A66BFE440%Z ;
   0xBD3ACE72A69008ACB92100%Z ;
   0x87CA977F0096F27F8F2D70600%Z ;
   0x217098FFEBE5D4F12BBB5600%Z ;
   0x2787B3493DA0D89F30BD100%Z ;
   0x6D4544A134E26016647500%Z ;
   0x22AB468C4FBC959B7FA200%Z ;
   0x11CBBFF44FDD652118A200%Z ;
   0x1B6EBEEDB28B19B781C5F280%Z ;
   0x1115A3805BCF8A4CF5A5180%Z ;
   0x1F7DD0D70F48DBCCA356C0%Z ;
   0x759D31BD49C5F5EA89840%Z ;
   0x2EEDAE56BFA4BED46E780%Z ;
   0x1D002F553FC79B5261080%Z
  ] ;
  [
   0x315B23E03BA0A435DDB34FDFB424200%Z ;
   0xE9FBEC72E1CA26EC66E04B40F7300%Z ;
   0xE66805CCB8C25D212774BDF7F2A00%Z ;
   0x727CD4C520F93967ED71A9209200%Z ;
   0x4281C436013C105BCA6619676680%Z ;
   0x4AEFF6527BFB90A11DBEC27BB80%Z ;
   0x43E995F45E31069843E4C78B9E00%Z ;
   0x1FD5D2C8FE30DAC89266F999100%Z ;
   0x3C7D6EBB6EB04FD84F5CA28600%Z ;
   0x131A3925421C859F705AC706580%Z ;
   0x146BA6784EF1F128967008B740%Z ;
   0x399C07EF759BB9C1D1AD8E980%Z ;
   0x143B8D72E9BB929D8D92802A100%Z ;
   0x8F2AB0C042E33F929C1857D00%Z ;
   0x102B24DB513AEAAAE851B8B00%Z ;
   0x3EED19D2198B59F319756700%Z ;
   0x58C0FC65C96050D3A839460E0%Z ;
   0x5A057CB25147F2F638272F60%Z ;
   0xF1CF5415E56780E93515D20%Z ;
   0x4D471B37E979BAD0B7F77A0%Z ;
   0x618AC96AC370AE8DDEA6B9300%Z ;
   0x28B193FD5E7B70D0247B19C0%Z ;
   0x45EF7AA7B2EEDD448B80D80%Z ;
   0x10356696F22E3226C294EC0%Z ;
   0x6920AB950733930A9FBD00%Z ;
   0x1A1278D309B8289A4144FC80%Z ;
   0x1916F8825CD17F5F743D960%Z ;
   0x402D6C8396157D5A21BD40%Z ;
   0x138CFF53DED9FB8BD39860%Z ;
   0x9C9A9932BECF79F00BF80%Z ;
   0x1DBF65C324D278C509586300%Z ;
   0xBB42D3785611D48FB63300%Z ;
   0x13214F7F4623F1850F8C80%Z ;
   0x4399F5054BAD4ECBEC280%Z ;
   0x1A2143FD2A77DB12E3100%Z ;
   0xFD18E2E7FE13D72C0900%Z ;
   0x7C0D53F0781D71DE779440%Z ;
   0x713D1C88820EEEFB74BC0%Z ;
   0x113D568D7B635512295E0%Z ;
   0x501C9886D4006C2270A0%Z ;
   0x2640252F5AD3FE2B2CC0%Z ;
   0x1B86AF1881F5DD2FD140%Z
  ] ;
  [
   0x4096DFEFB653CD6941BB3F709991400%Z ;
   0xE66805CCB8C25D212774BDF7F2A00%Z ;
   0x1320BD5A1944DE31D617AE3E006C00%Z ;
   0x5AC1E8E6BDFAA0F0A40651F0DC00%Z ;
   0x42C441E5904700E45190A2C8C700%Z ;
   0x31F54EE1A7FD0B1613D481A7D00%Z ;
   0x5B8D0D448D67F76DFABE6886C200%Z ;
   0x19C63526776ADEF93F4694FEF00%Z ;
   0x22FA2963ABF9F9EC8872844A00%Z ;
   0x138D0C8691512DCD9745F967B00%Z ;
   0xDE9DAC5AA7864A9A4D5330980%Z ;
   0x1D91C92B9DC80031A4426D700%Z ;
   0x1BADF3D272EF5B7599285E3CE00%Z ;
   0x7663AAA2F2B437066D61C4600%Z ;
   0x98E755EDF39D875D0B209A00%Z ;
   0x1D319E3191173B3267A1C200%Z ;
   0x5C9D9ECBF00C753CD9A1DC940%Z ;
   0x3EB242E176EDCC5DB29ECA40%Z ;
   0x7ED7C843A0C4C6CCC2756C0%Z ;
   0x20E1DAE78F200F154961BC0%Z ;
   0x876BF5310F19F3A952F676600%Z ;
   0x226057F2E4C002BEAEE9B380%Z ;
   0x2A42CA7E8C5264A2B6FCB00%Z ;
   0x7AE8CDEC7FA34858306D80%Z ;
   0x2986153A0FAF414D397A00%Z ;
   0x1BBE4A1CCA600522B6FEB700%Z ;
   0x11DD95AAD7EAF94E47B9C40%Z ;
   0x2269CAACA04F5E1636E180%Z ;
   0x87E4AE3749A26A6F23C40%Z ;
   0x3A005EAA7F8F36A4C2100%Z ;
   0x29EA3BBC0D183C4C818A3A00%Z ;
   0xA1A423E8698BE5993EFA00%Z ;
   0xBD2736207E5B49D858700%Z ;
   0x20BD2350229105B193B00%Z ;
   0xA87A2E12586480411E00%Z ;
   0x58A7D034561B32C88E00%Z ;
   0x86A45E711C0DD240477980%Z ;
   0x52777FAC98282C78A9280%Z ;
   0x973ED4CAD031201EAF40%Z ;
   0x238B311D1ED506DF59C0%Z ;
   0xE7138A07961BF305C80%Z ;
   0x92FB6E6AE4AAD63DB80%Z
  ] ;
  [
   0x137FA90992D0D893B33D5B9ABF4400%Z ;
   0x727CD4C520F93967ED71A9209200%Z ;
   0x5AC1E8E6BDFAA0F0A40651F0DC00%Z ;
   0x429C692CDFFC0EC81A70ACDFC00%Z ;
   0x20415C7167D930ABDA1081D6700%Z ;
   0x326886F186E842899777DCC500%Z ;
   0x1AB453ADAA842F7082871E19200%Z ;
   0x124FC459D402DEB38CB46C6900%Z ;
   0x2E166CBF91496167DAF13EE00%Z ;
   0x930D1451F89CD68202CD6AD00%Z ;
   0xD8FA90F96ED61313FDB60180%Z ;
   0x30F14CF8BE88D42EDAE98900%Z ;
   0x7F3DD39CD2DDDBCC6392A2E00%Z ;
   0x5176F3F3272871FCCE497A00%Z ;
   0xC26DE07700615A0F4C7FE00%Z ;
   0x3AE0D7C91368EFDBF9E1200%Z ;
   0x2A665F38D208B1BB81AC2140%Z ;
   0x3B0D5552199AE27D0EE9040%Z ;
   0xCA8A9461C7E3DCF4B7BEC0%Z ;
   0x4ED880AFC566AE47F7CDC0%Z ;
   0x2661B795A9655D6DCE641E00%Z ;
   0x16EC1FC85401240336A9B80%Z ;
   0x33DF7D0C1C2D6A8CDF4300%Z ;
   0xEF296BBF0753829016380%Z ;
   0x7400BD54FF1E6D4984200%Z ;
   0xC612F361E331A11D22DB00%Z ;
   0x1044253F23C7FD193CC840%Z ;
   0x3505827F6A439055F7380%Z ;
   0x13A7F291F52F1C7941C40%Z ;
   0xB99AC887FE9715426D00%Z ;
   0xBBD15BC89A3AE5D4CBF200%Z ;
   0x687F65A7A764BC1D84A00%Z ;
   0xE029A92DCAA4899E8700%Z ;
   0x3D77FF0DFA29385A8700%Z ;
   0x1C686C015AE721E3C600%Z ;
   0x1404DC6EEA272C7FDE00%Z ;
   0x3A9C81916AD1734DAD980%Z ;
   0x4899DEEDB61722BB1680%Z ;
   0xE0DF134E08D30051740%Z ;
   0x4F654417989F612CFC0%Z ;
   0x2CA96C6D07800618C80%Z ;
   0x25028877007C0D6D780%Z
  ] ;
  [
   0xE2D41F268FBA9355E80930AEEE100%Z ;
   0x4281C436013C105BCA6619676680%Z ;
   0x42C441E5904700E45190A2C8C700%Z ;
   0x20415C7167D930ABDA1081D6700%Z ;
   0x1313808ABB8200413BE02E82820%Z ;
   0x14F5E9BE8DA5CD4CCE00DC73E0%Z ;
   0x13DCC2A1362F85B18771FA13080%Z ;
   0x90D32B9319E6CAB91FC73D340%Z ;
   0x10D2F275817F08F01B4047180%Z ;
   0x5881D130E86D5D2F6D67303C0%Z ;
   0x5C39260BC897F409C7640EA0%Z ;
   0xFF4D85894F2F8D364904140%Z ;
   0x5F9B44CED88F1FD39DF58A780%Z ;
   0x291980B2BFF04533EF549C80%Z ;
   0x489908A45332D48624D3980%Z ;
   0x1161C3EEE51E333897CB080%Z ;
   0x19F6310C8599DF98571DB5F0%Z ;
   0x19A78DED7A4F41A6D3F24B0%Z ;
   0x43902195236A55B68C7ED0%Z ;
   0x1551689CAA568BCFA58210%Z ;
   0x1D1B60A629C3A775D5A8B780%Z ;
   0xBCD3A434602B3AEF4AB5E0%Z ;
   0x13D0004D30E5AA041B2EC0%Z ;
   0x483E939CE64EF222F00E0%Z ;
   0x1D002F553FC79B5261080%Z ;
   0x7B560EAB4A10A62C94F1C0%Z ;
   0x7391EFA1FB8D308051DD0%Z ;
   0x121931616F4B58F8C76E0%Z ;
   0x56FF489C6B1731008090%Z ;
   0x2B415C4B155DC94B2440%Z ;
   0x8F9AD860D609F6F6060C80%Z ;
   0x36E63819ADF090656EE80%Z ;
   0x579672A4A0E1E379C3C0%Z ;
   0x130093D84D389E976DC0%Z ;
   0x743AAEA6698FDEB1180%Z ;
   0x4614170293DE42A6B80%Z ;
   0x25197EC6A8CFF8B1E8340%Z ;
   0x20F48DDD0487B7279840%Z ;
   0x4E8ECF3375F279CCBC0%Z ;
   0x16797F786E513F9A0C0%Z ;
   0xAA49061E0A27D64CC0%Z ;
   0x7A611F675DC328FCC0%Z
  ] ;
  [
   0xABBB3F27B175D61BE42A7DB0DB00%Z ;
   0x4AEFF6527BFB90A11DBEC27BB80%Z ;
   0x31F54EE1A7FD0B1613D481A7D00%Z ;
   0x326886F186E842899777DCC500%Z ;
   0x14F5E9BE8DA5CD4CCE00DC73E0%Z ;
   0x2B3505F39834CB515D422AF20%Z ;
   0xEBAAD1F251CCE995BAE6CC980%Z ;
   0xDB6D0805DEC350E32241AEC0%Z ;
   0x2C0C5EDFDEAE589091D22E80%Z ;
   0x5EFE0B131ED3918F1FE72A40%Z ;
   0xB7BFD4A1640AB0D3D790B60%Z ;
   0x3384BCCFF0FBD1E07AA4FC0%Z ;
   0x467C4BA7103AF003DA2A8680%Z ;
   0x3C6F6F951B25E8C6C561380%Z ;
   0xB769DF27505233683EDA80%Z ;
   0x43950096A93370CFF8F980%Z ;
   0x1B445525BA40B1454AEBFD0%Z ;
   0x31716BF5BD8D91E71A0D10%Z ;
   0xD24D648A31D4C581049F0%Z ;
   0x61E09FBFB741AC36077B0%Z ;
   0x15696AEFEA165D1FD3AD280%Z ;
   0x10DC961ADD0FF93DD7C5A0%Z ;
   0x3053B68FC4344FC326040%Z ;
   0x10EAC6470FDF1A9AB89A0%Z ;
   0x9AABA71BFED33C620580%Z ;
   0x7F06720D995A66B05B940%Z ;
   0xD79CA0A93DE5B8738170%Z ;
   0x365507A250C9CBE85BA0%Z ;
   0x180D75A5DF4661947330%Z ;
   0x108402A84DF9EB1CB0C0%Z ;
   0x69DDBD4ABB0B5D0B61980%Z ;
   0x4C4EEF78C2CEECDED380%Z ;
   0xCE60BD10FCB54F6AB40%Z ;
   0x44A005C6F7D3B078B40%Z ;
   0x2554904BB405702D080%Z ;
   0x1E47E4044636F3B6A80%Z ;
   0x258F5E21FF665CA91F40%Z ;
   0x3B90528F638F3970C40%Z ;
   0xE388A7E6459A12F040%Z ;
   0x5FCEED6DCF05541C40%Z ;
   0x3EA93EECDB06890CC0%Z ;
   0x3B3740BE672CE248C0%Z
  ] ;
  [
   0x132411F8F51CDDFF601900AD0B9C00%Z ;
   0x43E995F45E31069843E4C78B9E00%Z ;
   0x5B8D0D448D67F76DFABE6886C200%Z ;
   0x1AB453ADAA842F7082871E19200%Z ;
   0x13DCC2A1362F85B18771FA13080%Z ;
   0xEBAAD1F251CCE995BAE6CC980%Z ;
   0x1BA933E05485772BF78F6161600%Z ;
   0x7A6C7AA19EC134017B5902900%Z ;
   0xA5F47B859DE4265878B43600%Z ;
   0x5DFAF78E60A9A7D23E725B900%Z ;
   0x422EB4266AE5974155358080%Z ;
   0x8DA4BED76F6C9144852FD00%Z ;
   0x873DA67089F6DFFE979B31600%Z ;
   0x237B4E980C497AFC388EE600%Z ;
   0x2DAFCD8F19397219FEC8200%Z ;
   0x8DB544608EEC7123FD0A00%Z ;
   0x1C1EBAC5BD1B723CFD334C40%Z ;
   0x12CEB69AB92C309C3551940%Z ;
   0x263A5BCC48C1DAB9B265C0%Z ;
   0xA250F018DEC45E597C2C0%Z ;
   0x29D4C03487F180B9F6204200%Z ;
   0xA68A2E6A115CA109633A80%Z ;
   0xCBB71540CA132B3CD1100%Z ;
   0x257EC3B96D959DE094C80%Z ;
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   0x5721F0C3FED300%Z ;
   0x5F09A3666AA280%Z ;
   0x92EDEB57A99200%Z ;
   0x1AF4BD558EB0800%Z ;
   0x1D2DAB5D383800%Z ;
   0xC7289596FB600%Z ;
   0xA7E5722877600%Z ;
   0xD5A02E5545C00%Z ;
   0x175276A0334C00%Z ;
   0xB4C53E7434800%Z ;
   0x23999CDD0C800%Z ;
   0x1559DFB078880%Z ;
   0x15B61AEC54D80%Z ;
   0x1FAF0E01D1500%Z ;
   0x3DF28DBC55300%Z
  ] ;
  [
   0x1B6EBEEDB28B19B781C5F280%Z ;
   0x7C0D53F0781D71DE779440%Z ;
   0x86A45E711C0DD240477980%Z ;
   0x3A9C81916AD1734DAD980%Z ;
   0x25197EC6A8CFF8B1E8340%Z ;
   0x258F5E21FF665CA91F40%Z ;
   0x29DD42E6FC92151FE5800%Z ;
   0x11230D822ACAE98A8E80%Z ;
   0x1E25C3757E9353C5D00%Z ;
   0xB40475DFC63AE7D5600%Z ;
   0xABE1A6396A602A91C0%Z ;
   0x1D0B786222092F7C80%Z ;
   0xD35CD07E04F5D58E400%Z ;
   0x5154BC6023B6912C00%Z ;
   0x86EB65790B74F4D00%Z ;
   0x20B29747363732900%Z ;
   0x376D78898A8A7A36C0%Z ;
   0x31E5BB50975F61FC0%Z ;
   0x7F090A5B0C977D00%Z ;
   0x2A35883A11C14E80%Z ;
   0x43CAF341C6F98A6200%Z ;
   0x1880DE49A17DF8180%Z ;
   0x26534D82A6504700%Z ;
   0x8BA5761BC8FEC00%Z ;
   0x3D95A0C6B7F2C00%Z ;
   0x115ABDAA6158FBD00%Z ;
   0xEB82D4EAEA45740%Z ;
   0x234A11E14E3FF80%Z ;
   0xAFDD77CDEE6D80%Z ;
   0x645B6109BEF800%Z ;
   0x1626281B67242B600%Z ;
   0x7828F8D0A34DE00%Z ;
   0xB118435868D700%Z ;
   0x25E7F2C04CF700%Z ;
   0xFA1E3D0F4DC00%Z ;
   0xB4C53E7434800%Z ;
   0x5898A06D9C90AD8%Z ;
   0x46B486ADDC4AB8%Z ;
   0x9F8EF02F12B58%Z ;
   0x2E9B14949F9F8%Z ;
   0x18D0E0DC16E44%Z ;
   0x1648F7E33C0D4%Z
  ] ;
  [
   0x1115A3805BCF8A4CF5A5180%Z ;
   0x713D1C88820EEEFB74BC0%Z ;
   0x52777FAC98282C78A9280%Z ;
   0x4899DEEDB61722BB1680%Z ;
   0x20F48DDD0487B7279840%Z ;
   0x3B90528F638F3970C40%Z ;
   0x193F3CDC6D6AC58DCC00%Z ;
   0x1494F5A77035B9D7280%Z ;
   0x3A632A988EE359B500%Z ;
   0x9BAC09F5FD5AC58B00%Z ;
   0x10820D3BC19FC1D7C0%Z ;
   0x41FBF1B433DCEF580%Z ;
   0x7DA3D34CDFE3FA0000%Z ;
   0x5EB4AB42960E9F600%Z ;
   0xFD8747B2621EE100%Z ;
   0x54139B952E5B0B00%Z ;
   0x2EAC538ADCBE61A40%Z ;
   0x4A459EB747C42840%Z ;
   0x118C82DED7463580%Z ;
   0x76F129D26BF1200%Z ;
   0x27C1B82B645201600%Z ;
   0x1BA84286ECC81C80%Z ;
   0x45D38BD56436900%Z ;
   0x15EBF3EDDDE3100%Z ;
   0xB8B3A6FFE48000%Z ;
   0xE3AC45F131FC700%Z ;
   0x1535D89F3855DC0%Z ;
   0x4BCEE5053A1380%Z ;
   0x1E687A3F58A300%Z ;
   0x138107804AA800%Z ;
   0xCD294AFCF86C200%Z ;
   0x8364B8A5CB2A00%Z ;
   0x1389057B648D00%Z ;
   0x5CDF060BBE300%Z ;
   0x2E4CD90C88800%Z ;
   0x23999CDD0C800%Z ;
   0x46B486ADDC4AB8%Z ;
   0x628B8A7C585F8%Z ;
   0x14CBE5936B860%Z ;
   0x7E5CB92E5740%Z ;
   0x4CB246239304%Z ;
   0x45C9A24392B4%Z
  ] ;
  [
   0x1F7DD0D70F48DBCCA356C0%Z ;
   0x113D568D7B635512295E0%Z ;
   0x973ED4CAD031201EAF40%Z ;
   0xE0DF134E08D30051740%Z ;
   0x4E8ECF3375F279CCBC0%Z ;
   0xE388A7E6459A12F040%Z ;
   0x2E4CB3D63E04953A700%Z ;
   0x3DF28E6053B8654980%Z ;
   0x10C415D3F89F13A500%Z ;
   0x16C1EB9768C4DECC80%Z ;
   0x3D1155081CBE0FC40%Z ;
   0x164F02690A88F1C80%Z ;
   0xE7B5FE158B39C7D00%Z ;
   0x11565763B1B131D00%Z ;
   0x4662002F2B992700%Z ;
   0x20DAC1C36036BB00%Z ;
   0x6B739BDBCE30EAB0%Z ;
   0x10A48E566482F430%Z ;
   0x5BB89F9B35C1230%Z ;
   0x34D80933A52B130%Z ;
   0x4A3C09C055FA5F00%Z ;
   0x4EF723CCED5B260%Z ;
   0x12BF94F403B4EC0%Z ;
   0x8471F908E46C20%Z ;
   0x5BEA8C2F573580%Z ;
   0x205CB73A8B89B80%Z ;
   0x49C3AB996AF9D0%Z ;
   0x17EDEBF9C51C60%Z ;
   0xD105FF9CBFDB0%Z ;
   0xAB944E0F49DC0%Z ;
   0x186FE30BE897900%Z ;
   0x16E605BB772500%Z ;
   0x5132E5BEFADC0%Z ;
   0x21E2427CE14C0%Z ;
   0x164EA83E0E880%Z ;
   0x1559DFB078880%Z ;
   0x9F8EF02F12B58%Z ;
   0x14CBE5936B860%Z ;
   0x657F9F2EB993%Z ;
   0x347AA7F5CCF5%Z ;
   0x28E484AA8BCE%Z ;
   0x2D1C7DC9BCB2%Z
  ] ;
  [
   0x759D31BD49C5F5EA89840%Z ;
   0x501C9886D4006C2270A0%Z ;
   0x238B311D1ED506DF59C0%Z ;
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   0x16797F786E513F9A0C0%Z ;
   0x5FCEED6DCF05541C40%Z ;
   0xB11FCB0EF7BC7C5100%Z ;
   0x155603B96D42B60F80%Z ;
   0x848E56981B9D92D00%Z ;
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   0xCC2549F3C57D5880%Z ;
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   0x157D40F5DACAAF00%Z ;
   0x1E6DF48FF6600C50%Z ;
   0x69D9DCAD7D3FED0%Z ;
   0x32AAC59939A2150%Z ;
   0x271C7A2CF2A5F50%Z ;
   0x1323E7A0ED2E9D00%Z ;
   0x1A3134F39F268A0%Z ;
   0x8AFE3E8DEAF740%Z ;
   0x53943FF62E0FE0%Z ;
   0x4C419C7F538280%Z ;
   0x93F055AADF7F80%Z ;
   0x1C9B1CFFDE7730%Z ;
   0xCC7D8FCB4F1A0%Z ;
   0x952A8BF984BD0%Z ;
   0x9E34EC69E1F40%Z ;
   0x6B810162E23B00%Z ;
   0x7844350AD7900%Z ;
   0x24877C740C840%Z ;
   0x14A4F480C4940%Z ;
   0x11D6E75067780%Z ;
   0x15B61AEC54D80%Z ;
   0x2E9B14949F9F8%Z ;
   0x7E5CB92E5740%Z ;
   0x347AA7F5CCF5%Z ;
   0x2420ABE15803%Z ;
   0x24588FEC7C8A%Z ;
   0x323AF1E4A616%Z
  ] ;
  [
   0x2EEDAE56BFA4BED46E780%Z ;
   0x2640252F5AD3FE2B2CC0%Z ;
   0xE7138A07961BF305C80%Z ;
   0x2CA96C6D07800618C80%Z ;
   0xAA49061E0A27D64CC0%Z ;
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   0x63A830F380D2F1300%Z ;
   0x310412624CA8D7200%Z ;
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   0x1886DF2CCFEEFF00%Z ;
   0x14BF68A9AA680700%Z ;
   0xEB1E4A9404225A0%Z ;
   0x41DF42525F4FAA0%Z ;
   0x29EC33BC1750CE0%Z ;
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   0xE2CA3A680AA140%Z ;
   0x628122E23B2E80%Z ;
   0x4DE47CBF143D40%Z ;
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   0x4A13DB7633D100%Z ;
   0x1181C9A56F3D60%Z ;
   0xA3F667A30A140%Z ;
   0x9B75BC4F0CD60%Z ;
   0xD21F0830BD180%Z ;
   0x39D604881B6600%Z ;
   0x419F853943E00%Z ;
   0x1946723AC5880%Z ;
   0x129A0D5DC0280%Z ;
   0x14A7C6C725900%Z ;
   0x1FAF0E01D1500%Z ;
   0x18D0E0DC16E44%Z ;
   0x4CB246239304%Z ;
   0x28E484AA8BCE%Z ;
   0x24588FEC7C8A%Z ;
   0x2E797F401484%Z ;
   0x5020B1C44CCC%Z
  ] ;
  [
   0x1D002F553FC79B5261080%Z ;
   0x1B86AF1881F5DD2FD140%Z ;
   0x92FB6E6AE4AAD63DB80%Z ;
   0x25028877007C0D6D780%Z ;
   0x7A611F675DC328FCC0%Z ;
   0x3B3740BE672CE248C0%Z ;
   0x3209E5967A348E7400%Z ;
   0x9978C643CB824A780%Z ;
   0x6A7D993EB70196F00%Z ;
   0x23C54DA4BE01EED00%Z ;
   0xEA8BDE3C9D31AA40%Z ;
   0xD17D5FD381314A80%Z ;
   0x1282F71361D9EF800%Z ;
   0x2944E7A85DD91600%Z ;
   0x197767B8C83F4700%Z ;
   0x1BBCC0DE75021100%Z ;
   0xB2364C97D71E2E0%Z ;
   0x3BC790108C2CEE0%Z ;
   0x30B17FC9760C520%Z ;
   0x3EA1F59339C29A0%Z ;
   0x784216E02D75600%Z ;
   0xB9F262079E21C0%Z ;
   0x63E09260450380%Z ;
   0x64A1D6B69912C0%Z ;
   0x95A6792E9E7D00%Z ;
   0x3C0CB96F0D8100%Z ;
   0xFC98785C28220%Z ;
   0xB91F849C19EC0%Z ;
   0xDE33AB397E8A0%Z ;
   0x1784379D44CA80%Z ;
   0x36002429FC5200%Z ;
   0x37911C3459600%Z ;
   0x1934A9F1BE580%Z ;
   0x1749C591EF580%Z ;
   0x207FFEAC44700%Z ;
   0x3DF28DBC55300%Z ;
   0x1648F7E33C0D4%Z ;
   0x45C9A24392B4%Z ;
   0x2D1C7DC9BCB2%Z ;
   0x323AF1E4A616%Z ;
   0x5020B1C44CCC%Z ;
   0xAA5B05C5EA44%Z
  ]
  ].

Definition D_A : Z := 0x1F1A5ED6821603141B1E7B46A34BD33419BACDC251260B79669525173EA6A658879F1DB69D19B873DBF64CAA45A91C492F3B821561C83DB3113523F00%Z.

Definition A_int : list (list Z) :=
  [
  [
   0x4BD5047B24C7F400421E6E63143A167065BDB164BC187D7FC207AAE356EBA4320DB4B3B85A7458DFF627BD5ADF7A2C952C73D451636E4D494E86700%Z ;
   0x0%Z ;
   0x198FC2FF2001C1CD3678091153ADBCB34D7348CEE5677762208E8ECE7316969A0B94F105A18DC0F72E0D4EFBA8F264C91807A7F677AAE1EE57E00%Z ;
   (-0xCC7E17F9000E0E69B3C0488A9D6DE59A6B9A46772B3BBB110474767398B4B4D05CA7882D0C6E07B9706A77DD47932648C03D3FB3BD570F72BF00)%Z ;
   0x1D496D8F24DFD673D48626D7E9347BF368D3C2CD38706890EF7EC495F9A1B192C363F2EFD4A96495FA200E0AAA9F273364B21AB9446FE1E32DA0%Z ;
   (-0x1174D49F5049F8E7A7E5C54D2E97C66A41CA6500A1C9AAA8F7EDB23AAE99017EABA008242898CA6AAC33C7774779C2C008C86DA65DE290E5B920)%Z ;
   0x105798FA5185D59D6EB00E5DC1B18413DE4B2CF787E5F4B5FA329CE491E36F2270FE5FFE9911C578CB285BDACA8A1802B01074EDB24A0C241D00%Z ;
   (-0x4BDA837F1DA12727DD8563B16342A400A83F1889D3DC71B3FC06FA05F560ED071BEBDC46497D48EE1AA1893059DC8E97369148D6F485B3B3F00)%Z ;
   0xD3391C5A937A3229048FE619C75AFACED5CC9A1BB8B8D586D9D8DBA24284F716E2559A30136203F7B57A41B8C9C4EE5DE50A4D263F3361F300%Z ;
   0xAB8F8443550C3FE792064EFCDE71A7E9E524C229C78EF90ECFD6387519BF79C475EA341504BA2CB0C0429FC4E614A7DDDB30EEDDB38EA33780%Z ;
   (-0x886115F9B53A9566A38FC1CAFF015B6CAFB3A6612140E8429EF6380A79C641D17E523C9BD93DB619FB685390635A046BB37A7D86CD9B51F500)%Z ;
   0x71CE7129C34B954080A2A5222F685A6F629DC37404DF0E2E6B6F1F637C00190F4219E491C6A763649216A32CDD4A4B170F06360097BCFA6C00%Z ;
   0x83EE863C91361FFAFCC48576E3C0CC858216EEF78D0AFE230BC6A985F78D015537BB6354FAE1070FDD0414C26CEBF4FB8EC13679CC50CE6500%Z ;
   (-0x2373F06B02780074BDD2DDBA4BC0819E7FE463A5467B359B1B3E0389CF8738CE1E32993A96F20A86C927A58F3400C00C4E61BCB6CD58019F80)%Z ;
   (-0x1D93DE72390B2174DE97B1AC44A49510AA5612739FBEC0C5B05C40968D560BBC50962167E6157734C869BEF8362F7E0698752C14044F54A80)%Z ;
   0x13BFAEF41B4DC69BAFAA27DD14DB2DF37A8596E1D4689438A23444F04D9DF441826AAB9B3C0E22501A18EE7EC97411716C5185914306995900%Z ;
   (-0x16509BE4AA6A927B10F3859FEE300C38805B1E934AAA090C02B419DED973B12E9E3CD35AEAD889C097C32EBF37CC0021406C0D0A9D157B420)%Z ;
   (-0x3AD0E09D73604466446E4255EFFA3FDC707910A0F7AF6430E608CA28160D4A8F6FEDBC60BB69EA554D8A9C792489CDC987ADD95304946D2A0)%Z ;
   0x1817421D847E794E8C52D0467AA23E771639C7F53466D3F9CCACE9EBC5067C74993F820EEBE55954DCBB2C416787BDF9A1F3FD0DA5C7DCCC0%Z ;
   0x24279ECE20A30B5E5E77B0665E9AF066E5DBC630360CB1B4606FD9DF6866A28911EF3172A02131B54EB59D8FF201173572B782D886AE18EC0%Z ;
   0x3B8DA3997FFEC8EDD8180D4A5478B9504256F53EC25C4499AC0E3BCDDC7B1ECC4C9580E5951A913F71D0A0FD95E9F7C7EA34EA03F0A00F200%Z ;
   (-0x1140E0C86A86F72E533DC90CE4ADDF008D543B44F4680850A8C1F62D981A614916E9C681840650A5C30780D1457F8AE777536D2A2FAACAC00)%Z ;
   (-0x20814288FDB0D5A7C11A5CB56DBB8E421671B74CD83551CB7E273F6A505842AB2873E64CAEF67A1A263ECD6185709B67A471603BB2D08100)%Z ;
   0x4FA426A9D88CE92E62276598E7163ED90B85AFF29D7980E1DBFAA7A6EE54EB4674159286F09514F476FE45BAFA878E878C2BDB521F9A9000%Z ;
   0x1E9CE7FE1E091F63D408E871FC1A942F05B75B50176C926482398FDBFF336370C902E7D73945DB763FFAB5C080ACF729E9B77A273C2B0400%Z ;
   (-0x2E77B61B4584804B0AD57EF12BA0F14B13A53BFA524F7FDFC92D053276FC13E60C072C00BF4EF58B3F3D678EB5FE02F7787B088B85CDE800)%Z ;
   (-0x17D0F871A02A8523C784DAD5B695E0253EDA1DB59ECB0CF0D032495DF72E1F8469ED32F135D8C2944B3BB00767550E5EEB916B632F2D7A40)%Z ;
   0x4E01B906CB785FA29BB4E15DB20F9509FC1E0DA9A8251CE87B23E7379FA61947D2069746DAC55F7E1091314131F727200C3FD9A5D38AB00%Z ;
   0xA4976BA79D20A48DB52298C3497022A193C94A5E150DCBEC413D4E101EDA99D099B874B3F628C3146465A6A353236E6466C90BC857F3C00%Z ;
   (-0x70B413368B89C46EE0C6245F8356190EA1876C91BD9DC6515B4B140B3A915A9E1AC4A1414F6ADBDB5589951D4F81654809936491E354800)%Z ;
   0x279A84B5E7892C87B1BB24E143A2888E08F699C7D76BAF62619934FEE25E86A71F66F34AE0B2ECBD0194178B832ABF800B0F6B616FFD4400%Z ;
   (-0x7BD510A120381956EE217B961F4F526EC9A4D884841A3D8C54481D83208D56E22A42C0D58FDEFD2BC87FBF6E30B46124CBA983D0C832F00)%Z ;
   (-0x1010173C3A96C48A71B04E32A7845F69F919747E7C9E1598069C2D293A6FE23A1C1717993D6B42C9E3AF8E92BB4459360176BCFDF7DDE80)%Z ;
   0x141BC0E66616E230E7B2C66C5211E8E735C20883322E06271F1294EACAEEE8AE7974F3E00B819B380326AED7749055414D2D518765D2300%Z ;
   0xD3C3DB44CADA54F7B2B7BA0C398D5E4C347F3F12346AA49C3D1E1A5E051DEEA72E88DBE670B7FAEA7FE25EC97728D76F62955AD803FC00%Z ;
   (-0x338063EC46C4E4727987D6409A3D9D7F87E49DB849E6B485729E22438D2942D6E654CBBBCF3024B962761228CBD867162B0085DB2200D00)%Z ;
   (-0x89DCD2F48D876A1F166A80B56C46DE432D108CF1CB516E8D54F170C1CBBE8039835D160DB7711C76F42FC9C8EBA684C3D71CCE811C503C)%Z ;
   (-0x957B4F5A3584B0582D1B75E414AEC33F946DB0EDE6C2C8DD09884C27B82587D6AF0260F4FF2DF9474DAC75DF8C655E04B256ED3FC27A4C)%Z ;
   0xE8FBBD240A0A19DE45D6D927124C6910EBF044F9A0D38410F9E463E4439162D19D3B2050A716571C77B629374F92C993B922B1A811969%Z ;
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   (-0x1A1EFC356F302B573105E181C18A7FA20CB70A212224DE9E1D45D61863E02EA7D13FCB45CBDE1A76F878E02D0C8577D1B9AF5E2FE7135F608E85C0)%Z ;
   (-0x14AE83CCEA2169F783EAF36858089516AEFC0395CD3C476E51B227EBA148C7EDCB78CBAAE9FB24C22F4F62BDEB1694B6E2D37A328B929BFCD47FC00)%Z ;
   0x508E825CA7ABD5593C8F95907C54BC936BD7DFBE08C0235BA68CC75652CD81AFB0C3A81FC525F16F8358947430B4401C587680A6A71979145DCF480%Z ;
   (-0x53035DA4FB3FF0AC22B02011B82D165AAA2C2BFF68A9B83C62E87E8E712A0B9EA05C7A8CF593A191588E47F0DE1DA6E439C9F600831E595F2BE8A00)%Z ;
   (-0x2D626C1788E2C8A4126B92E4ACFD2905C42B797467241E999E1AF8E90A12A7E84ADF8778B6C7D0CEAB878F5EDA62990AA2F221B7359F8479BC04C0)%Z ;
   (-0xE03F90A009F82A48661EB7CFCC5F5742DA61BA8CDF930D9631D18FB7BF8260595FC597968A022E4722B77808C1EE81B8F7EC4336CC4CB3D624A80)%Z ;
   (-0x29B120CBCEE389B36E326A012FAB2ACB484FA969F3C4D1FF6DD254BC01F4CA4B4EA34EA3BDCFA5D0EB1E54109FEAE65960C1C923E21ECE5426DE80)%Z ;
   (-0x56D4C4DD1BFF3972AD12D78A78A605B6903CE925D478CA583AA73154EE6BBBCAC10FD4A86D13C10A7EA72000C025F232AE1B298EAF0AEC27F01CA00)%Z ;
   (-0x109DD7412C1A6F791D82B70FCF13EDE401D9AAB875DCF38A0416E64F80AAAF535B49401AE160F2BC4941A84ED98AF52D60F945724B6EEBE94796200)%Z ;
   (-0x16F454C6F44FCCC00EE39A2F1AFE0A2E7EFFCF655BF913A5C2379DEAE41FA0963FD905E4C19A9BEADD95E81793543EF6D4731EF2AB6E7F2429B680)%Z ;
   (-0xA8258BA15A5BC3C09EFCFD442B302C7D6F3AC5FAC92A829DE7D058A2E1990E63F882475607A8EE90945FE9BAD91038DDF3671231172A9C3840200)%Z ;
   0xB9C4328103681F5FC8B41D2AEF1917D154090EE412DF43E73FF1FD71EA8EB7E026916B43A721B65FF64C8B2725B7964023FE494ED11B21FAB85700%Z ;
   (-0xED8669F0204C683827A14F20D6DC4F961EC35D1D7A551DDA65A5A513A4983DE9F6DAB1DA8BD8EF9A8449D88877F64B28A3B34125438F5D3D813E800)%Z ;
   0x10787B3C479C430AE6DCCEFA45FDD7BE082744F73F8B041619203F054C26EA01093D1D4CD122B208E6E228EC1A1A34918260081C50C71006571ADA600%Z ;
   0x77ADA975A8B4A03A0A447386835DFC63B33A6025C4C75CC5B920583C9983C077A115D4D05925D1D67A21FC20307336E299CCA5529F6B1E2D4344F00%Z ;
   0x23A24A7DA098924B10CBF23128C0C189BF5B87BDF02664909E8AD5BDD6E24AA0F04246656D262B0C7E5D068E305E11F12038D0C989A7EA96C033980%Z ;
   0x3A12D86A48CBDA09DA8F5DBC1F53B40DA35DEF705801318A8F02FB77C4702286B6F9A0EB0EE929E613BDFB2F9ED599B83D39BCB0BEF2C89596FE200%Z ;
   0x33B89C8C1AC383E3E45DA6A670565AEC37AFAB44E16878EDA5F6EE0327A08F71C397874ED298C7ED3F6767969ABE6ED4833C8639B5F637752665D600%Z ;
   0x67730791C1B02AF823A807F267741F3CCA71C58DC92DD5B43060D50F9C4D2327E9D4E4AB2E442ECD3EF3FADAA384015935C1530009507179E539D00%Z ;
   0x1166B7B39A567988E86A0DFFF82262690BEB034450DE7AA987AD8901B1A0100B7C33A0C921D84E0C8C5C58554CB221CAE4955E991158A8FFC8CF01E8%Z ;
   0x1484EAECB3412BE598780546CB16E230239426620E4C566617C74989E2C1C8B0F6833DC89F328B1BF35CFCE91B2A04C6276560B4FED8D77758060E8%Z ;
   0x6E260613C73FB5EA2FA12F73E5A57FF4BBDBAE29785F3FB118FDBF222DC219F2D82A6842579A1FB4F0D1651B28C3D2BAECC7DE95F53C765D73268A%Z ;
   (-0x1ACB96E465D56A987460F39B43580B76020CA4BBFDE3B1220479B6035B77F252ABAD383D29C8E15C70F94A2E2FA710681497CAEE421900CCD77C5DA)%Z ;
   0x2720013CCD08C7CE8040AC68FCDB3C337F688C3F3F522738007A9CF53617EB02CA666F09D168E34F81C112F30411C1D48EBF5412E58336903DD465C8%Z ;
   0xE3A5680AB61C6EF907F12F48E2AC3B60285554850F52FF8DA6E968DF792DDCF6184E092EE9CCBBB8F884E16B49AD8BAF34B3E1894E6BB63888F8B18%Z
  ] ;
  [
   0x0%Z ;
   0x0%Z ;
   0x4CBD3A1542C769C9986CF4B112094110FDF9F5604493D92BA2F7E7661B1D04586938840FF2B43B66569F3868412BCF865D1C9BCFE237EE00E07A00%Z ;
   (-0x265E9D0AA163B4E4CC367A588904A0887EFCFAB02249EC95D17BF3B30D8E822C349C4207F95A1DB32B4F9C342095E7C32E8E4DE7F11BF700703D00)%Z ;
   0x29573E4995B406BF2DEF0CC205A15C4F8E4497FB5CBED62A8C9703FC6B54CD15A14645A7C761C158724AE1EEB00AF67395669D669923917FA9B040%Z ;
   (-0x3A674F675B41ED6977FABCD0B95295271534780346094E4FE0337A8F8C3619808CD0BC2DFEB7A183660B4BB000D35681BECFCF3F0AF6C7DC438E40)%Z ;
   0xBE2FAF6BF52131C5E79FF64FF27A105B8E8CE3025A4CB4635F2C4F2469AE193B88DC265E302E7325031226F615D4761427F29EAA1BFC143EFD00%Z ;
   0x1581175FB8DCEB9165A0B6907663A2A8274FA554390EEB1207F927E5BB03FF8920E7DF170EC356662BFF520F91CBE320F86A5A5844BA4541B6DA40%Z ;
   (-0x375FDC1D3C76BDDDF7D6A100102E75AC9F97A1F19237ED463987A6BE3CD144589A61D9D0CC0E4003733B8DC194DD20B5B84EB22DDB9ECAEE558D80)%Z ;
   0x7031C86386CB171789969C45B22CBF27CE8C75736D77DBB1E0CB290C1BE45E896AF8C9320933FD905676B5A1D31276C5131195FDA0EBE311FB00%Z ;
   0xA896A909377266AAF30794C727F40ED4C0E7569CBBD7318231A3187B038CD3AAC849CF02FDA3C7A22AD81B09B1E8B4F09EA55034F8B51BBB7EE80%Z ;
   (-0x2739F2F67E991DD90F719C75B950545A7B796A778F85BA3E4EF274BC4C4FEB3549984E6E07B915B5CDFBC434CC959DF71E791DAB13BB1BA1902200)%Z ;
   (-0x2F524BDEF7FF17A6C62E593E0C597BB6380B62464E90A786855C9006EB0373912E85788416A7B6842C8E07DD72A230621B5F4C37B6EE25A916500)%Z ;
   0x4355DB7144B8747A4D33418E375EFC84F89E2A07C87974408963BD77FB6C6208AD45DDEC6947B1BFCDE881489618F2CC7577D1F6A134A5894480%Z ;
   0x4A05F9ACAB6E541421A60CD69025D28D03E5F94F05614A5C11AABBDD7018DD721E5EA37110BF9A068C43C74046B66B87A912840BC6D2288178880%Z ;
   (-0x1383A0C8539D998EEB9530823718DFA096AE014852E93715BC6FE1CAA34322D0CA62DAD09B15EA8978CF2163EB68A9B0AA10728ECB113D72A5B100)%Z ;
   0xBA392B11BBB9896589F36BA4F709DEB3B319120F1E7144CB3CFFC7D9E9E287D1FEFF2E9A1F80ED18E44156E7D6A8EA80893F7CEC43FC1E4CCF40%Z ;
   0x28032FA63835665F1691DBAFCE171335715BF9911E34ABFCADCAAD0FBA7F7073FF152F9804CC429CAAEA9AEBB9131242044E4D28FD0A17820CC0%Z ;
   0x17499E2376B7342D1798D0AB9B110AB8450B69BB6CB6FC8A4D0A690191912F0775A5A650825FD7CB6793F498B2015B4F9A2E330191CA78538F800%Z ;
   (-0x12858230CFFD57668216542C3182B0BC738D767A80B6270A8419965FFB5B477B27941A7D9E7A612F08CFFEAA211DFD26CDEA8B3CD7493ABFEA80)%Z ;
   0xF86A6B17603A0826705154AC2689E29A4F742595E248B0F5621856259F0AA9619325FAA56AE47761316DE1402311308A374E020253D28CE38B200%Z ;
   0x786EA0BEA665B841F5C92D45DD1B7A30F6FE33F92C824F6D879F883A392E5BE42F4CF7E78014F42CE4B2F34500F1EBF396D14FA9CA5F2D9FFFC0%Z ;
   0x172CAB7A711EA8D932C46A2426FA39F4484363F0F7CE90575F0B4C2E3F3DC1BBA3AB485B98D04A65C33B02E36EE7D46658FB8824A143129A3480%Z ;
   (-0x831F2AD5D18BF254CF204C56E4B9EC66F9C184D18491821E3885AC7E364A3C60527AC8B36821FC8C808C8CA06C74CAC41B695D5657B1D3EFE780)%Z ;
   0x14C8441F525C61D0C95F46F7C101141DFCB07D4FE1ADD0F02B0CA201D97F01B567A984981957A891CC6654D49EC17D37A8DBA1BC904197E1115200%Z ;
   0x2BB7C501BEFA58F740D4524FFB142194023BBD33AA495BB9260BD6C1B4CDC1CAF62DF4DF93BE816DFB569B484729D926929B6CF7A383CCE32EA00%Z ;
   0x39A6E95B425C4421BEADE6D4E3D1C86CB508176E2A80D4D5E4C706BC255C9FEDC42EE4D4890BABA8848D0E7001228F6624D6F8812376D3703080%Z ;
   0x1250D4CD05E1979E57D2F658574C937537B57018B4AE0E456A67A2E1A3AE7905723F7179EB0E4AAF80D2A8DEC33A0FA2F123897587598E304A00%Z ;
   (-0x211886881D9A348BD953819470E84B64543E4184EDCC92B4C518ACAB1F8E0FBAD0B4BB8141BD48A67D5BA01007E45E7C845EBDA33596CE0ED0F00)%Z ;
   0x2863A1071F5061C076953BC4B4F4AC6A4420B2FDC9A3320BCF5689B04CD4A98099688BFB8CD72D6337FCF1A1602F61E6F056080E4DE709FB71F800%Z ;
   0x289D4F58EC92F7C82DE54846A5A10EF67A09861A75DC236AC29D03C64E64BBD7A28C097E8B9E4B825296A55D92CC232EBA8A0E4435C8F5A7F18FC200%Z ;
   0xE6F391B5F4437B6A389A535DF3C9222A95A76322061730E7EEE5519851EBB15ACE7EEE0489FEDDDB2211FD22F4BEAEE0E3B4DD338F8E3D857FA500%Z ;
   0x3174A6F294999C871A1DCD7058EC5D75F133C3CC8E3D8691113A6292304BB9C36ED4D2867D47FDF4AD0D806537F78D0E7AAB325AA01531DA257080%Z ;
   0x31786C7AFED1D47FB0D4C2D0493130A7E37D35E0521A603C24D7CDFB1BF682FF1B366F16FEE46DDE3C3878229BD117EA48574919CFCD8963002E00%Z ;
   0xE3815C872277E61843234537E22DEA16A0A3AA4C842BDF8EF7CC99D3237EC6DC5B41CC20E230CFDC0F33F929F26A9786F1976FAE63B91E6A1CF200%Z ;
   0x28AF8F5757D2EA508AF988418116516421A235D721987660B910F7EB31F65F12E5E6306A1AA3A81CA5B534EAC68616ED328CA5976D6FC76F0F761F00%Z ;
   0x35A33C800FD4F5665524DDA83682AA9FDAFA932D5CB1CB1DA76DB78E0C93A4DA2E32C6DDD17AA81CBAE17D0FB1BB0A077161135A8F6ADFB6A4C6B38%Z ;
   0x357DA2527224AC5FD16AB5A5D240345755A1B026386522578E1BA956032BA3E880835AC1873CA076ADBBE4642E053316A4FF781A039707ABD84938%Z ;
   0x10BA1AA4524F2A2E060A6F2A6C2E451105110D01EDE0AB9FFC6940D8FDDDB057C58A428257C76D259879BBFF993BA85991DC3A2639C5BE9F8527CE%Z ;
   0x1057A24E35E141B62CB88AC1C9230F43EDEBD061DC029D219991A4C3A66E7F5A221A38E0E13123885F3CEE9BC7146BB2F0BB07D7D9197B351BE042%Z ;
   (-0x93C3C3C2EABDE50B909F7E645A4A4F4FEE7C0871F602C689189A44836D569D00F384A4496386239447FF2E678712668DF96B03C0825FAAA75E6A08)%Z ;
   0x2D61A6D7B4A0100029D2860D78245E69CA6C9D96A708F960E561F94A25AA639C943BC558F67FC097E10DCBC5F44FB1D0ADEC6A9D80058818AB7C09E8%Z
  ]
  ].

Definition charpoly_of_A_int_bigZ : list BigZ.t_ :=
  [
   18288652813995896977741290688078986641566708829438688926568731672609962885182021342187723348201390263894922355116283130730563428609858194508866695843649581368148036953909592692910556407889819331359031359885437741575157911307679105845614579312635439268839989692971116905768686021957247491248256107055138748992337391308500108588920225541902325477293446010041630601376101621606404581183316005097505992431556719025422132668118349723867570017578162727221196485933493226746402681402902462330004505445412311674769560223110350576555995542522065245396560232433157463362169486268927611237114079316482677673636218993085783917299428184009818642064467374022620673887833416107385822695589086265773359992742645708750656498787344381336105121317757703202715349140257087652461462604650847069196976674148235609188043034940179753139855044619962187317113738369399683261257519474448915381581038929857335010044718774932199606842302340552843504544952359382021834540290126045422186233803901792507774554553069940707500721556400134563543265347847951680576170719686775973616009312058554400396135839194855094158726772705315888244392762240093647424068411322990123056543477125070951252037956592377723790657954599848067951528037179588298439178671010762912039052810439572414068998898573577504643962130748823219135757207884115588398480455143595123695834254183107293188903020659662358186416895967212113534657771786161292538086885804784645827895351727680511463093965622488181847409069812346295721618558567062989656820123939460337047706100644901371329908127213003392125041852064271861195092057752696372966864472196140149670035580864142075488050870029215513003583443372572105858326907160896405190700249610706615833386956644997699445498706399977279386589141260273327141339249901357953139764819829014056794379647984708620889421666994884210789593682628132185734783132852249953489205737819524472413171431799330414687934843452219817346203027690657335624742961324221937573277963507751747759124502470294442606398955402063619895383815943884987177969779044148136283353806129023049507885364251005428055718171682373190129951487221286935363972771809050785906712158558719934423036109478178569410632948656536692190584107211537945552176978860784198416349384286556611037759875021592347772213683089800258288671417640508313632140446803653448906965659946795442067391139647670350755261687004380475543792655748455510612453783888497300308741393316778722447525087392561985855510915369068573380813868569212798433400727012746370329941505609944428416381876151358405202859279637428279271069571343271191521585809147500802251413512294616546885702740770298186068290963005478240338543074314127418868652358814214990513739005439728816473663665486190224053489255096189546275337255335283485929463403294642265568071208722108677728986132533800573464052922594833500706501648098588723290587399487142838259094166763421049593849257544537006631895481779912627787481748228447152271777199034612385948023960515566600337909349938378303268855268817526359488673862906566631803350560956471709341603739764516775466545926498460806896335699921412574014977175332224830358223628047268088155288652064160540873978696445011253949146656936080986378689366430346949384036317165497420205765109448315959426063375545286895701037597811376947511632477625448971271601834077531353369264214107494102717602779483853079661392466510859336368411866600211151615755010989945784703595198545661210190962355091128632199406318822877216126060078742783073366179852006362919227477499538266730875684669047715810460197675925715335351827561362286578735620876039694944848088526043897180858629719860720399717923873632347482665244188608344268881881906100904575725547024345787477631114439754059046581471778455753704266855731544246914742252336890917577586602944283965096583351192978451543508756742343555601486892059740413284418203582449774498545031461716553904257985201694253328765827056248332387490878656837295358037902656571768907925120632356449355839249451191593656938203018222884611476561313704600640825855045815977489415589646837694207879699847558299294891473311175381623066507203347180144213877872064998316284517701716741703425135107955099829215435599795725405091634622951145214253232283233729965814821931037488308639556029229670932902022704396112013190191589528017597873642667882960979163482946191722646100116130184804875847493925299575843094098071334986870680570361929838096648467509722660128162110793868914192216845780839730475405419292500261476422556141669426524930371808703445378351332894609149376621149072444573258537229607668113040619270362956973727471724576761762276290688910360024732904405345078612691581705742989882761327770315371138370616120709017168905143551253509476532865734636893363806070175911697197820730073535834463718670665144341169985891505145280667179070412144243612911666171449348779213481756556370236719964317432715023925188598821219519016229962601118277474042885636645117305378207101412786201625591300025474132087681268740452744503606447049194815635842965513117238286863964302141891719760834189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   (-177507827149360329182100966166774825493096539896072567084403294589963711808777719153374125026470823791654352908742506962356530785029857706413235111617248558018341067214013632363456569348499090128006198458662557926023797832668566939548330638577214682046407140725321329339018424643479253335285227898579532400992373004472635914420560730116943939059291230926650924403094426576496036216260782752695245736980537636300989893897192816733332330746113127304133865009873545723592234198471857246572800161339325032798061528076282847560262893563732137775803527266486731259252714335637589453805164017918598480103166763820020833259142931572397974302149186550162366856650942317690504714417815864802446117487514058159081981895406251246062515169010429924842180315622223227779205791929629781298867480697488109459796785194815407590874224621535991397145053703095550699216398288445123636942040254667447867133748121114563083724433089475613042558594337968255068419318486165394773035785849528863133706550658806944997667571706904228480913258535554985449230532049514195325186263299004778810123406592545752452582150265527471750116060120596175691754517607507765633759861939745333477902496463928159155420935145005314296500663526627507568704421247985725542398904104560820943596526687245131789107200000000000000000000000000000000)%bigZ ;
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   (-1443624235297435898452577416633521716805719378177703374096519788982992601755456685541452176717619570902262891551829478333315978715185997993263899351309295588021976854656323565599495129549191637625524360950729940212475234762296836465986322818070603142020442416318505813984984011595253182574157389113085102724956790968954491355141348214270960174500876296084017425874663903918794479063728678488183624605011171400460396826478070564169290383241671278477297300928239056264714635412185046100034373124113619324623680807573403120616722224993990667852412361204238948045212400376133765380342738717632707783724515222993249543538295372068845756196387265223650180471893469188515721428760796959055873782562175652673634696959669111692091997600137487570126538370615720173776673115433799166249998342210645689127343707251837268221666043416140124531965527241282932957844648552479450364590225149964237720074813412061393387424242060155497498571379000626694014339715003287006198959150041757956935855286406217728000000000000000000000)%bigZ ;
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   (-5793433160942525003506278981984918186020326497919309186948319953060988423970785671989837477545151373017842689619933096289729383418761480131772852240727870370156202913847642206662918063579469892780239182841175092956512893588753724011819282960607905726627646770507578322769777116367013500973145489735414860191699552839389002484549875441872929792521376244557821677992124230875808024229389443148041776567457987918211296646417381532358364267954456431624545039881714129013899407519137263648990813863256187709717253232079389188745787693177295241390869401088928164041536995390537401353458085662369416177812527178162003899192186297311835255180894990893592608097440070631767201140679780070883414002572862950726064614400000000000000)%bigZ ;
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   (-9452035887643414651478743263677968493033883777320049556761922345125742071351235576020086467702469960056629161742432323332017280699030348932693571036334421394811289271054387268931842701597014355785544178483786284259234149948023068750204127029631650920588013680357411280701698730690028903934343595711303808560795643898834303315830962316687809288687144328132658206173753118230495198223745115772901986100091462686462309065841751923200000)%bigZ ;
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   (-3982438739030653123710696379760225600995685753114087691487865969768496239082558138687376154184052734603232317252744659558315730149218531810407000)%bigZ ;
   1%bigZ
  ].

Definition charpoly_of_A_int : list Z :=
  lift_bigZ charpoly_of_A_int_bigZ.

Definition D_q : Z := 0x2D89315932F72DC68159C93CE84C44048FB1DB95027A2BAB3267B8B5D2ADCE98F520B4DAADD8E6660D78398C340AB282F3FBFB90323E0D524A89EDCBCDCDA49D085025C43DD85ED9E4C2C060081BD1817D3E3990EFE2A45654892A59A6C53F11A02139EE319A10C3154A2BFB0B53EEB204EAF47F13327372FB26DD0B2DBF4692038DFDD0087D4CD5B07ABECB1345BB825E1E4A9E5CC16CAFCCCA8E4CEF8340F051A790F45BA91E00000%Z.

Definition charpoly_int : list Z :=
  [
   0xD0B7CB2B2CA3E9D267DCF2E420E41CAB57DE26B69E4C00C469575AE33881ED3411E5F7479E7D2CA804737CD3444EE3E7A667B021A1ACE73B1BC2E17A147843523B292ABB8830C9DAF167BF1C131DD4856FA632564C9956F65515537B27100E59CCC828A5CE3A9E4E426D3BE221F81AA4BCBE2BA15B137864034E111C34C000000000000000000%Z ;
   (-0x1F32960FB5B177D0516ACF233086EDA6C1EAD0BB67F24352BBF65294B2C175121272C13503EEF1EB1D98A91EAFA8DBF9593D9D054537701A194E91D91B952BD03BCC611092B41A7E2348586364D1AE08697AC0A7519CC637663402529B3D8C62CA1CC9067612EEF3F767CFC1335720C31BF784D2E8DCBC48111785F9826702A600000000000000000)%Z ;
   0x21408AAC6FE09FB6B908F35B0B71AE6AF4ACD890B2729FA71B4F964B9493642CBE250133B30B79C0E0A923C2095DBFD8625886FDF692C6CAFBAA7228C9F55235153BDC55C22E24CE50172F82101E2FC5FB9E8FC68DFACC267E2B344846496B335502C6374BEFE85D7B0A03BF8F9C6DA1E73AC1B84DD8EE3898059B05374A743B89618000000000000000%Z ;
   (-0x1531183DE37C2D34E14CF1BC5D6A470B5D8366E0F1802DF843DD5D2707A27CDE001589921189C5BC9905B6709AEFB4A0B9B29FC0D4D220ED1B34AAC9436B8EABD2F5DF8239640DFDF4BCB48D7F0F8C7952EF054B53B551B5B4482EE4EF35C67F69B9787299EDB97743268B5C9BBD08DC72E1C69E540C466844075C3C27584E7015442B22000000000000000)%Z ;
   0x924B21C920887F2BDD84187618C6C4FF7181912F82323542CEC5D695BA0C79D56972A6C12C874E20127D975E87C1FAB925641C5E9946B8ABBD43F0A245C4DF5B2841A5A50AAEDC66530E5A84E09AD3EA825063FB2582D4CBED94494AC1257722201D4D191A649457DE4FAF7E6A0C6AFEB11D32B762117F4E263FD383E57CA723F466C7FC92980000000000000%Z ;
   (-0x2DDAE8AA2F62B808764F6193BD5B44CBFC33395668C5D2CF5AEB73BE85CDA666A36EE9063B161E45CE6183999E38B1256E3A91A03307321299722EA48D18ADFDB0D853938330027B266E007F2F7CB6AC15C56DED2500A7A5DE566B6CC41B4A791960B998B74B19E1AABD0A53E4B204DFBE7A550A3CF56EF39A36098886205E27F50FCE189146A7C0000000000000)%Z ;
   0xAEF5CF7E2CA1A00CB7752C231D4882C1ECBE3247B78A4846834808531CFC100DEB9207F4EDA2952AA9EBA200F84B7E8093BF5C1D58B5A5A9492AF337C1BADD818C166D10AC5042FD38C117220630BA378611BAA0A52424AE14D11A7CA0E40DF436A7A2947FDA3D5D7A62247B114E80882D58F64F3B41B98E2ECAC3D4587A50747B5D9E99562D01B566000000000000%Z ;
   (-0x20CCDE8C6F1DBB2229BB74A8E4C2B400541703836D2907A83641FA491DE2CFC30944F4C115FB76994E16F8A1BC32DEFB35AADE92B0C94479AB285B702B39609385E680B42DD04CF68E0A48AA57B79422899C3F9B0FF64765E37F53D3F0C94276C8FD29AB7A3855BE38769A56A3DDCC96E070A6FC0D95787C86E8092F767FDA232DFC62D040550C47CA929000000000000)%Z ;
   0x4F45111C3F2018F286559E3E2BD0E8D55C7CB9FF9EB80A7A5A1CCCBAB561E549825612DB91A54BC7F890CBC5EF8AA4768E80028BD1658F9F2061B253E4CA7DB2A81C025B454DB73891E4645BFE0EFEF4117C82D6192F958A93312C65BAEBE330E72084A4E2BDA94819DA6EC75854F96A1C0F67821B080B98C99B7EF1BC5382D51F18B51061235487EC187138C0000000000%Z ;
   (-0x9D532EF00307830703C32F09F3BAAB55269CA0826B900D1F38D931921AF01DF5BA9E627F2CF63A7859716EB0167182067B9AD533C756999601521A9968929779AE51EC510DE4BF75C71C05EA91816FF8DFBB0C132B7332CFE03BA2AAEEB47844CE057280E28FF11CBF83D58C1A77119B76AFB4ED8FCFCA44C04E7B002EC86D79A088B56A2C288CEC73E3AE860900000000000)%Z ;
   0x10459B52CDFC25FC6A208CEEFB2858ABDC839953A9CDDDB3745ABC30A7DFFE74676B28D109BF96D64D7F550986DC3FE08A56B0FD519FE46BAD5C4FB1DE65B834956DC70C6FAEBD0BE590B38922243072162E7681877AFA780F60F1B7C8226B4B8BE0B9C701F20077E7149004C1A4A52F407281C79F44D5D68BC6649B1FBB2BD7E28BE012FF5321C9A38816C860960DD800000000%Z ;
   (-0x16BB84D282036DB48C604913A70A0B4A9AA3F2F17717D944252C9EBF8D56E9BE0C773E8392F4DEA29C998FF172B31B162F8DF095E9057B47DF721F066D3DC5B882296DBE4DDDE34CB48A1DE8A5FCFEB1E792DF93CBAAF846CD5A1B4BBB5B0BE281D6EEC165A4DFDF3CDACD4D34FA1D8EADAF2A5EC6D224ABDA1252FC698E45A8B770673C0E3B63EAA48F8CE7B341FFBD5400000000)%Z ;
   0x1B15F0D4831E018C8BE5BF5F69CED3B8399D6A7685FF0885AE82F1F13A4B82F61CE0B92260EDB4A856441A30771667CB623536972895934906629C5A3C702F5B3494D57E6CE8DD0E4F9AF7DD60659FE698DF04B0E4EC07C59BC0C8896281C2BF92AA2A5C3FACDCFBF5A7176ECCD290F975D9D746764E5669E1E9727739E8ABDCEFEE9ACB0F24D5CC46397044F8A77265DBF740000000%Z ;
   (-0x1BC27C05C9F15025C082B059C8798924FA01A8E0DA7B58C725EB7AF0051CA22A64D462699F8DE40991AE8657451CE331A5CBDE1023A8C5472CB5DBC21DF832095248949B1B389EFFFFC96227D09E51EDE401459F562959E7056E93456DE9C28FD2F78F90A3DF951723B3DD65D791C731B4C6D2E36E51093ADF1DE653C62DC3E8D9CACE33F443873C18D3E06CE10BE69D45C73510000000)%Z ;
   0x18A5C693C517E0608A907950F653B6A3485173CB84AD053F9CAABF3A762A88D43B16BDADDC0E57D43830E2D3A0E7DAE935401C7214C876A287E213CB816FC553C2EF44160B69F4DDF647A523D5B48717B52937B8778111D15495BAFDF226D487E6F25D4EDFE4C7CD0F2618105B5C289CB80484EA40B1920060E7290654ECF822B7FC8970659B93AD74F162566A3BF61EE154C07585000000%Z ;
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