Finite Group Databasebeta

← Group #13146227

Character table — Group #13146227

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1166688121166688122212121216162422121212161624221212121616242212121216162422121212161624221212121616242212121216162422121212161624995454547272108995454547272108
order1248836222488662361224243666612242466691836727291818918367272918189183672729181818183672721818181818367272181818181836727218181844488121244448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1
χ322200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-10
χ42-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-110
χ52-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-110
χ633-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-1
χ733-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-1001
χ84-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-10
χ911111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ10111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1-1-1-111-1-11-1-1-111-1-11
χ1122200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-10-2-2-200110-2-2-200110
χ122-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-110-220−i2i21-10-220−i2i21-10
χ132-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-110-220i2−i21-10-220i2−i21-10
χ1433-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-1-3-31-1-1001-3-31-1-1001
χ1533-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-1001-3-311100-1-3-311100-1
χ164-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-10-44000-110-44000-110
χ1711111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ18111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1111-1-111-1111-1-111-1-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11iii−i−iii−i−i−i−iii−i−ii
χ1922200-1-10-2-2-20011022200-1-10-2-2-20011022200-1-1022200-1-1022200-1-10-2-2-200110-2-2-200110-2-2-2001102i2i2i00−i−i0−2i−2i−2i00ii0
χ202-20i2−i2-110-220−i2i21-102-20i2−i2-110-220−i2i21-102-20i2−i2-1102-20i2−i2-1102-20i2−i2-110-220−i2i21-10-220−i2i21-10-220−i2i21-102i−2i0−22−ii0−2i2i02−2i−i0
χ212-20−i2i2-110-220i2−i21-102-20−i2i2-110-220i2−i21-102-20−i2i2-1102-20−i2i2-1102-20−i2i2-110-220i2−i21-10-220i2−i21-10-220i2−i21-102i−2i02−2−ii0−2i2i0−22i−i0
χ2233-11100-1-3-31-1-100133-11100-1-3-31-1-100133-11100-133-11100-133-11100-1-3-31-1-1001-3-31-1-1001-3-31-1-10013i3i−iii00−i−3i−3ii−i−i00i
χ2333-1-1-1001-3-311100-133-1-1-1001-3-311100-133-1-1-100133-1-1-100133-1-1-1001-3-311100-1-3-311100-1-3-311100-13i3i−i−i−i00i−3i−3iiii00−i
χ244-40001-10-44000-1104-40001-10-44000-1104-40001-104-40001-104-40001-10-44000-110-44000-110-44000-1104i−4i000i−i0−4i4i000−ii0
χ2511111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ26111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1111-1-111-1111-1-111-1-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11−i−i−iii−i−iiiii−i−iii−i
χ2722200-1-10-2-2-20011022200-1-10-2-2-20011022200-1-1022200-1-1022200-1-10-2-2-200110-2-2-200110-2-2-200110−2i−2i−2i00ii02i2i2i00−i−i0
χ282-20i2−i2-110-220−i2i21-102-20i2−i2-110-220−i2i21-102-20i2−i2-1102-20i2−i2-1102-20i2−i2-110-220−i2i21-10-220−i2i21-10-220−i2i21-10−2i2i02−2i−i02i−2i0−22−ii0
χ292-20−i2i2-110-220i2−i21-102-20−i2i2-110-220i2−i21-102-20−i2i2-1102-20−i2i2-1102-20−i2i2-110-220i2−i21-10-220i2−i21-10-220i2−i21-10−2i2i0−22i−i02i−2i02−2−ii0
χ3033-11100-1-3-31-1-100133-11100-1-3-31-1-100133-11100-133-11100-133-11100-1-3-31-1-1001-3-31-1-1001-3-31-1-1001−3i−3ii−i−i00i3i3i−iii00−i
χ3133-1-1-1001-3-311100-133-1-1-1001-3-311100-133-1-1-100133-1-1-100133-1-1-1001-3-311100-1-3-311100-1-3-311100-1−3i−3iiii00−i3i3i−i−i−i00i
χ324-40001-10-44000-1104-40001-10-44000-1104-40001-104-40001-104-40001-10-44000-110-44000-110-44000-110−4i4i000−ii04i−4i000i−i0
χ3322222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ34222-2-222-2222-2-222-2222-2-222-2222-2-222-2-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11-1-1-111-1-110000000000000000
χ3544400-2-2044400-2-2044400-2-2044400-2-20-2-2-200110-2-2-200110-2-2-200110-2-2-200110-2-2-200110-2-2-2001100000000000000000
χ364-402i2−2i2-2204-402i2−2i2-2204-402i2−2i2-2204-402i2−2i2-220-220−i2i21-10-220−i2i21-10-220−i2i21-10-220−i2i21-10-220−i2i21-10-220−i2i21-100000000000000000
χ374-40−2i22i2-2204-40−2i22i2-2204-40−2i22i2-2204-40−2i22i2-220-220i2−i21-10-220i2−i21-10-220i2−i21-10-220i2−i21-10-220i2−i21-10-220i2−i21-100000000000000000
χ3866-22200-266-22200-266-22200-266-22200-2-3-31-1-1001-3-31-1-1001-3-31-1-1001-3-31-1-1001-3-31-1-1001-3-31-1-10010000000000000000
χ3966-2-2-200266-2-2-200266-2-2-200266-2-2-2002-3-311100-1-3-311100-1-3-311100-1-3-311100-1-3-311100-1-3-311100-10000000000000000
χ408-80002-208-80002-208-80002-208-80002-20-44000-110-44000-110-44000-110-44000-110-44000-110-44000-1100000000000000000
χ412222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ680000000000000000
χ42222-2-222-2222-2-222-2-1-1-111-1-11-1-1-111-1-11ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ4+ζ68ζ4+ζ68−ζ4−ζ68−ζ4−ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ4+ζ68ζ4+ζ68−ζ4−ζ68−ζ4−ζ68ζ4+ζ680000000000000000
χ4344400-2-2044400-2-20-2-2-200110-2-2-2001102ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ6800−ζ44+ζ52−ζ68−ζ44+ζ52−ζ6802ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ5200−ζ4+ζ44−ζ52−ζ4+ζ44−ζ520−2ζ4−2ζ68−2ζ4−2ζ68−2ζ4−2ζ6800ζ4+ζ68ζ4+ζ6802ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ6800−ζ44+ζ52−ζ68−ζ44+ζ52−ζ6802ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ5200−ζ4+ζ44−ζ52−ζ4+ζ44−ζ520−2ζ4−2ζ68−2ζ4−2ζ68−2ζ4−2ζ6800ζ4+ζ68ζ4+ζ6800000000000000000
χ444-402i2−2i2-2204-402i2−2i2-220-220−i2i21-10-220−i2i21-102ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ680ζ5−ζ7+ζ23+ζ53−ζ61+ζ71−ζ5+ζ7−ζ23−ζ53+ζ61−ζ71−ζ44+ζ52−ζ68ζ44−ζ52+ζ6802ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ520ζ7+ζ13+ζ31−ζ53+ζ61−ζ71−ζ7−ζ13−ζ31+ζ53−ζ61+ζ71−ζ4+ζ44−ζ52ζ4−ζ44+ζ520−2ζ4−2ζ682ζ4+2ζ680−ζ5−ζ13−ζ23−ζ31ζ5+ζ13+ζ23+ζ31ζ4+ζ68−ζ4−ζ6802ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ680ζ5−ζ7+ζ23+ζ53−ζ61+ζ71−ζ5+ζ7−ζ23−ζ53+ζ61−ζ71−ζ44+ζ52−ζ68ζ44−ζ52+ζ6802ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ520ζ7+ζ13+ζ31−ζ53+ζ61−ζ71−ζ7−ζ13−ζ31+ζ53−ζ61+ζ71−ζ4+ζ44−ζ52ζ4−ζ44+ζ520−2ζ4−2ζ682ζ4+2ζ680−ζ5−ζ13−ζ23−ζ31ζ5+ζ13+ζ23+ζ31ζ4+ζ68−ζ4−ζ6800000000000000000
χ454-40−2i22i2-2204-40−2i22i2-220-220i2−i21-10-220i2−i21-102ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ680−ζ5+ζ7−ζ23−ζ53+ζ61−ζ71ζ5−ζ7+ζ23+ζ53−ζ61+ζ71−ζ44+ζ52−ζ68ζ44−ζ52+ζ6802ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ520−ζ7−ζ13−ζ31+ζ53−ζ61+ζ71ζ7+ζ13+ζ31−ζ53+ζ61−ζ71−ζ4+ζ44−ζ52ζ4−ζ44+ζ520−2ζ4−2ζ682ζ4+2ζ680ζ5+ζ13+ζ23+ζ31−ζ5−ζ13−ζ23−ζ31ζ4+ζ68−ζ4−ζ6802ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ680−ζ5+ζ7−ζ23−ζ53+ζ61−ζ71ζ5−ζ7+ζ23+ζ53−ζ61+ζ71−ζ44+ζ52−ζ68ζ44−ζ52+ζ6802ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ520−ζ7−ζ13−ζ31+ζ53−ζ61+ζ71ζ7+ζ13+ζ31−ζ53+ζ61−ζ71−ζ4+ζ44−ζ52ζ4−ζ44+ζ520−2ζ4−2ζ682ζ4+2ζ680ζ5+ζ13+ζ23+ζ31−ζ5−ζ13−ζ23−ζ31ζ4+ζ68−ζ4−ζ6800000000000000000
χ4666-22200-266-22200-2-3-31-1-1001-3-31-1-10013ζ44−3ζ52+3ζ683ζ44−3ζ52+3ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ6800−ζ44+ζ52−ζ683ζ4−3ζ44+3ζ523ζ4−3ζ44+3ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ5200−ζ4+ζ44−ζ52−3ζ4−3ζ68−3ζ4−3ζ68ζ4+ζ68−ζ4−ζ68−ζ4−ζ6800ζ4+ζ683ζ44−3ζ52+3ζ683ζ44−3ζ52+3ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ6800−ζ44+ζ52−ζ683ζ4−3ζ44+3ζ523ζ4−3ζ44+3ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ5200−ζ4+ζ44−ζ52−3ζ4−3ζ68−3ζ4−3ζ68ζ4+ζ68−ζ4−ζ68−ζ4−ζ6800ζ4+ζ680000000000000000
χ4766-2-2-200266-2-2-2002-3-311100-1-3-311100-13ζ44−3ζ52+3ζ683ζ44−3ζ52+3ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ6800ζ44−ζ52+ζ683ζ4−3ζ44+3ζ523ζ4−3ζ44+3ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ5200ζ4−ζ44+ζ52−3ζ4−3ζ68−3ζ4−3ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ6800−ζ4−ζ683ζ44−3ζ52+3ζ683ζ44−3ζ52+3ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ6800ζ44−ζ52+ζ683ζ4−3ζ44+3ζ523ζ4−3ζ44+3ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ5200ζ4−ζ44+ζ52−3ζ4−3ζ68−3ζ4−3ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ6800−ζ4−ζ680000000000000000
χ488-80002-208-80002-20-44000-110-44000-1104ζ44−4ζ52+4ζ68−4ζ44+4ζ52−4ζ68000ζ44−ζ52+ζ68−ζ44+ζ52−ζ6804ζ4−4ζ44+4ζ52−4ζ4+4ζ44−4ζ52000ζ4−ζ44+ζ52−ζ4+ζ44−ζ520−4ζ4−4ζ684ζ4+4ζ68000−ζ4−ζ68ζ4+ζ6804ζ44−4ζ52+4ζ68−4ζ44+4ζ52−4ζ68000ζ44−ζ52+ζ68−ζ44+ζ52−ζ6804ζ4−4ζ44+4ζ52−4ζ4+4ζ44−4ζ52000ζ4−ζ44+ζ52−ζ4+ζ44−ζ520−4ζ4−4ζ684ζ4+4ζ68000−ζ4−ζ68ζ4+ζ6800000000000000000
χ492222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ680000000000000000
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χ7866-22200-2-6-62-2-2002-3-31-1-100133-11100-13ζ44−3ζ52+3ζ683ζ44−3ζ52+3ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ6800−ζ44+ζ52−ζ683ζ4−3ζ44+3ζ523ζ4−3ζ44+3ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ5200−ζ4+ζ44−ζ52−3ζ4−3ζ68−3ζ4−3ζ68ζ4+ζ68−ζ4−ζ68−ζ4−ζ6800ζ4+ζ68−3ζ44+3ζ52−3ζ68−3ζ44+3ζ52−3ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ6800ζ44−ζ52+ζ68−3ζ4+3ζ44−3ζ52−3ζ4+3ζ44−3ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ5200ζ4−ζ44+ζ523ζ4+3ζ683ζ4+3ζ68−ζ4−ζ68ζ4+ζ68ζ4+ζ6800−ζ4−ζ680000000000000000
χ7966-2-2-2002-6-622200-2-3-311100-133-1-1-10013ζ44−3ζ52+3ζ683ζ44−3ζ52+3ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ6800ζ44−ζ52+ζ683ζ4−3ζ44+3ζ523ζ4−3ζ44+3ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ5200ζ4−ζ44+ζ52−3ζ4−3ζ68−3ζ4−3ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ6800−ζ4−ζ68−3ζ44+3ζ52−3ζ68−3ζ44+3ζ52−3ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ6800−ζ44+ζ52−ζ68−3ζ4+3ζ44−3ζ52−3ζ4+3ζ44−3ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ5200−ζ4+ζ44−ζ523ζ4+3ζ683ζ4+3ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ6800ζ4+ζ680000000000000000
χ808-80002-20-88000-220-44000-1104-40001-104ζ44−4ζ52+4ζ68−4ζ44+4ζ52−4ζ68000ζ44−ζ52+ζ68−ζ44+ζ52−ζ6804ζ4−4ζ44+4ζ52−4ζ4+4ζ44−4ζ52000ζ4−ζ44+ζ52−ζ4+ζ44−ζ520−4ζ4−4ζ684ζ4+4ζ68000−ζ4−ζ68ζ4+ζ680−4ζ44+4ζ52−4ζ684ζ44−4ζ52+4ζ68000−ζ44+ζ52−ζ68ζ44−ζ52+ζ680−4ζ4+4ζ44−4ζ524ζ4−4ζ44+4ζ52000−ζ4+ζ44−ζ52ζ4−ζ44+ζ5204ζ4+4ζ68−4ζ4−4ζ68000ζ4+ζ68−ζ4−ζ6800000000000000000
χ8122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ680000000000000000
χ82222-2-222-2-2-2-222-2-22-1-1-111-1-11111-1-111-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ4+ζ68ζ4+ζ68−ζ4−ζ68−ζ4−ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68ζ4+ζ68−ζ4−ζ68−ζ4−ζ68ζ4+ζ68ζ4+ζ68−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ680000000000000000
χ8344400-2-20-4-4-400220-2-2-20011022200-1-102ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ5200−ζ4+ζ44−ζ52−ζ4+ζ44−ζ520−2ζ4−2ζ68−2ζ4−2ζ68−2ζ4−2ζ6800ζ4+ζ68ζ4+ζ6802ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ6800−ζ44+ζ52−ζ68−ζ44+ζ52−ζ680−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ5200ζ4−ζ44+ζ52ζ4−ζ44+ζ5202ζ4+2ζ682ζ4+2ζ682ζ4+2ζ6800−ζ4−ζ68−ζ4−ζ680−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ6800ζ44−ζ52+ζ68ζ44−ζ52+ζ6800000000000000000
χ844-402i2−2i2-220-440−2i22i22-20-220−i2i21-102-20i2−i2-1102ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ520ζ7+ζ13+ζ31−ζ53+ζ61−ζ71−ζ7−ζ13−ζ31+ζ53−ζ61+ζ71−ζ4+ζ44−ζ52ζ4−ζ44+ζ520−2ζ4−2ζ682ζ4+2ζ680−ζ5−ζ13−ζ23−ζ31ζ5+ζ13+ζ23+ζ31ζ4+ζ68−ζ4−ζ6802ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ680ζ5−ζ7+ζ23+ζ53−ζ61+ζ71−ζ5+ζ7−ζ23−ζ53+ζ61−ζ71−ζ44+ζ52−ζ68ζ44−ζ52+ζ680−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ520−ζ7−ζ13−ζ31+ζ53−ζ61+ζ71ζ7+ζ13+ζ31−ζ53+ζ61−ζ71ζ4−ζ44+ζ52−ζ4+ζ44−ζ5202ζ4+2ζ68−2ζ4−2ζ680ζ5+ζ13+ζ23+ζ31−ζ5−ζ13−ζ23−ζ31−ζ4−ζ68ζ4+ζ680−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ680−ζ5+ζ7−ζ23−ζ53+ζ61−ζ71ζ5−ζ7+ζ23+ζ53−ζ61+ζ71ζ44−ζ52+ζ68−ζ44+ζ52−ζ6800000000000000000
χ854-40−2i22i2-220-4402i2−2i22-20-220i2−i21-102-20−i2i2-1102ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ520−ζ7−ζ13−ζ31+ζ53−ζ61+ζ71ζ7+ζ13+ζ31−ζ53+ζ61−ζ71−ζ4+ζ44−ζ52ζ4−ζ44+ζ520−2ζ4−2ζ682ζ4+2ζ680ζ5+ζ13+ζ23+ζ31−ζ5−ζ13−ζ23−ζ31ζ4+ζ68−ζ4−ζ6802ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ680−ζ5+ζ7−ζ23−ζ53+ζ61−ζ71ζ5−ζ7+ζ23+ζ53−ζ61+ζ71−ζ44+ζ52−ζ68ζ44−ζ52+ζ680−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ520ζ7+ζ13+ζ31−ζ53+ζ61−ζ71−ζ7−ζ13−ζ31+ζ53−ζ61+ζ71ζ4−ζ44+ζ52−ζ4+ζ44−ζ5202ζ4+2ζ68−2ζ4−2ζ680−ζ5−ζ13−ζ23−ζ31ζ5+ζ13+ζ23+ζ31−ζ4−ζ68ζ4+ζ680−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ680ζ5−ζ7+ζ23+ζ53−ζ61+ζ71−ζ5+ζ7−ζ23−ζ53+ζ61−ζ71ζ44−ζ52+ζ68−ζ44+ζ52−ζ6800000000000000000
χ8666-22200-2-6-62-2-2002-3-31-1-100133-11100-13ζ4−3ζ44+3ζ523ζ4−3ζ44+3ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ5200−ζ4+ζ44−ζ52−3ζ4−3ζ68−3ζ4−3ζ68ζ4+ζ68−ζ4−ζ68−ζ4−ζ6800ζ4+ζ683ζ44−3ζ52+3ζ683ζ44−3ζ52+3ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ6800−ζ44+ζ52−ζ68−3ζ4+3ζ44−3ζ52−3ζ4+3ζ44−3ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ5200ζ4−ζ44+ζ523ζ4+3ζ683ζ4+3ζ68−ζ4−ζ68ζ4+ζ68ζ4+ζ6800−ζ4−ζ68−3ζ44+3ζ52−3ζ68−3ζ44+3ζ52−3ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ6800ζ44−ζ52+ζ680000000000000000
χ8766-2-2-2002-6-622200-2-3-311100-133-1-1-10013ζ4−3ζ44+3ζ523ζ4−3ζ44+3ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ5200ζ4−ζ44+ζ52−3ζ4−3ζ68−3ζ4−3ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ6800−ζ4−ζ683ζ44−3ζ52+3ζ683ζ44−3ζ52+3ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ6800ζ44−ζ52+ζ68−3ζ4+3ζ44−3ζ52−3ζ4+3ζ44−3ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ5200−ζ4+ζ44−ζ523ζ4+3ζ683ζ4+3ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ6800ζ4+ζ68−3ζ44+3ζ52−3ζ68−3ζ44+3ζ52−3ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ6800−ζ44+ζ52−ζ680000000000000000
χ888-80002-20-88000-220-44000-1104-40001-104ζ4−4ζ44+4ζ52−4ζ4+4ζ44−4ζ52000ζ4−ζ44+ζ52−ζ4+ζ44−ζ520−4ζ4−4ζ684ζ4+4ζ68000−ζ4−ζ68ζ4+ζ6804ζ44−4ζ52+4ζ68−4ζ44+4ζ52−4ζ68000ζ44−ζ52+ζ68−ζ44+ζ52−ζ680−4ζ4+4ζ44−4ζ524ζ4−4ζ44+4ζ52000−ζ4+ζ44−ζ52ζ4−ζ44+ζ5204ζ4+4ζ68−4ζ4−4ζ68000ζ4+ζ68−ζ4−ζ680−4ζ44+4ζ52−4ζ684ζ44−4ζ52+4ζ68000−ζ44+ζ52−ζ68ζ44−ζ52+ζ6800000000000000000
χ8922222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ520000000000000000
χ90222-2-222-2-2-2-222-2-22-1-1-111-1-11111-1-111-1−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ4+ζ68ζ4+ζ68−ζ4−ζ68−ζ4−ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ4+ζ68−ζ4−ζ68−ζ4−ζ68ζ4+ζ68ζ4+ζ68−ζ4−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ520000000000000000
χ9144400-2-20-4-4-400220-2-2-20011022200-1-10−2ζ4−2ζ68−2ζ4−2ζ68−2ζ4−2ζ6800ζ4+ζ68ζ4+ζ6802ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ6800−ζ44+ζ52−ζ68−ζ44+ζ52−ζ6802ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ5200−ζ4+ζ44−ζ52−ζ4+ζ44−ζ5202ζ4+2ζ682ζ4+2ζ682ζ4+2ζ6800−ζ4−ζ68−ζ4−ζ680−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ6800ζ44−ζ52+ζ68ζ44−ζ52+ζ680−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ5200ζ4−ζ44+ζ52ζ4−ζ44+ζ5200000000000000000
χ924-402i2−2i2-220-440−2i22i22-20-220−i2i21-102-20i2−i2-110−2ζ4−2ζ682ζ4+2ζ680−ζ5−ζ13−ζ23−ζ31ζ5+ζ13+ζ23+ζ31ζ4+ζ68−ζ4−ζ6802ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ680ζ5−ζ7+ζ23+ζ53−ζ61+ζ71−ζ5+ζ7−ζ23−ζ53+ζ61−ζ71−ζ44+ζ52−ζ68ζ44−ζ52+ζ6802ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ520ζ7+ζ13+ζ31−ζ53+ζ61−ζ71−ζ7−ζ13−ζ31+ζ53−ζ61+ζ71−ζ4+ζ44−ζ52ζ4−ζ44+ζ5202ζ4+2ζ68−2ζ4−2ζ680ζ5+ζ13+ζ23+ζ31−ζ5−ζ13−ζ23−ζ31−ζ4−ζ68ζ4+ζ680−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ680−ζ5+ζ7−ζ23−ζ53+ζ61−ζ71ζ5−ζ7+ζ23+ζ53−ζ61+ζ71ζ44−ζ52+ζ68−ζ44+ζ52−ζ680−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ520−ζ7−ζ13−ζ31+ζ53−ζ61+ζ71ζ7+ζ13+ζ31−ζ53+ζ61−ζ71ζ4−ζ44+ζ52−ζ4+ζ44−ζ5200000000000000000
χ934-40−2i22i2-220-4402i2−2i22-20-220i2−i21-102-20−i2i2-110−2ζ4−2ζ682ζ4+2ζ680ζ5+ζ13+ζ23+ζ31−ζ5−ζ13−ζ23−ζ31ζ4+ζ68−ζ4−ζ6802ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ680−ζ5+ζ7−ζ23−ζ53+ζ61−ζ71ζ5−ζ7+ζ23+ζ53−ζ61+ζ71−ζ44+ζ52−ζ68ζ44−ζ52+ζ6802ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ520−ζ7−ζ13−ζ31+ζ53−ζ61+ζ71ζ7+ζ13+ζ31−ζ53+ζ61−ζ71−ζ4+ζ44−ζ52ζ4−ζ44+ζ5202ζ4+2ζ68−2ζ4−2ζ680−ζ5−ζ13−ζ23−ζ31ζ5+ζ13+ζ23+ζ31−ζ4−ζ68ζ4+ζ680−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ680ζ5−ζ7+ζ23+ζ53−ζ61+ζ71−ζ5+ζ7−ζ23−ζ53+ζ61−ζ71ζ44−ζ52+ζ68−ζ44+ζ52−ζ680−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ520ζ7+ζ13+ζ31−ζ53+ζ61−ζ71−ζ7−ζ13−ζ31+ζ53−ζ61+ζ71ζ4−ζ44+ζ52−ζ4+ζ44−ζ5200000000000000000
χ9466-22200-2-6-62-2-2002-3-31-1-100133-11100-1−3ζ4−3ζ68−3ζ4−3ζ68ζ4+ζ68−ζ4−ζ68−ζ4−ζ6800ζ4+ζ683ζ44−3ζ52+3ζ683ζ44−3ζ52+3ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ6800−ζ44+ζ52−ζ683ζ4−3ζ44+3ζ523ζ4−3ζ44+3ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ5200−ζ4+ζ44−ζ523ζ4+3ζ683ζ4+3ζ68−ζ4−ζ68ζ4+ζ68ζ4+ζ6800−ζ4−ζ68−3ζ44+3ζ52−3ζ68−3ζ44+3ζ52−3ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ6800ζ44−ζ52+ζ68−3ζ4+3ζ44−3ζ52−3ζ4+3ζ44−3ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ5200ζ4−ζ44+ζ520000000000000000
χ9566-2-2-2002-6-622200-2-3-311100-133-1-1-1001−3ζ4−3ζ68−3ζ4−3ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ6800−ζ4−ζ683ζ44−3ζ52+3ζ683ζ44−3ζ52+3ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ6800ζ44−ζ52+ζ683ζ4−3ζ44+3ζ523ζ4−3ζ44+3ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ5200ζ4−ζ44+ζ523ζ4+3ζ683ζ4+3ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ6800ζ4+ζ68−3ζ44+3ζ52−3ζ68−3ζ44+3ζ52−3ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ6800−ζ44+ζ52−ζ68−3ζ4+3ζ44−3ζ52−3ζ4+3ζ44−3ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ5200−ζ4+ζ44−ζ520000000000000000
χ968-80002-20-88000-220-44000-1104-40001-10−4ζ4−4ζ684ζ4+4ζ68000−ζ4−ζ68ζ4+ζ6804ζ44−4ζ52+4ζ68−4ζ44+4ζ52−4ζ68000ζ44−ζ52+ζ68−ζ44+ζ52−ζ6804ζ4−4ζ44+4ζ52−4ζ4+4ζ44−4ζ52000ζ4−ζ44+ζ52−ζ4+ζ44−ζ5204ζ4+4ζ68−4ζ4−4ζ68000ζ4+ζ68−ζ4−ζ680−4ζ44+4ζ52−4ζ684ζ44−4ζ52+4ζ68000−ζ44+ζ52−ζ68ζ44−ζ52+ζ680−4ζ4+4ζ44−4ζ524ζ4−4ζ44+4ζ52000−ζ4+ζ44−ζ52ζ4−ζ44+ζ5200000000000000000

Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.