Finite Group Databasebeta

← Group #17959818

Character table — Group #17959818

Order 4352.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1122244444444444444444444888888888161616161616161616161616161616161616161616161616161617173232323232323232323232323232323234343468686868136136136136136136136136136136136136136136136136136272272
order12244888817171717343434343434343434343434468686868686868684468686868686868681361361361361361361361361361361361361361361361362268686868686868686868686868686868244888841616161616161616161616161616161644
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ3111111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1
χ51111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1
χ71111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11
χ81111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11
χ911111-1-1-1-111111111111111111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111-1-1-1-11ii−i−iii−i−iii−i−iii−i−i1-1
χ1011111-1-1-1-111111111111111111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111-1-1-1-11−i−iii−i−iii−i−iii−i−iii1-1
χ1111111-1-1-1-111111111111111111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11111-111-1-111-1-1-1-111-1-111-11
χ1211111-1-1-1-111111111111111111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11111-1-1-111-1-11111-1-111-1-1-11
χ1311111-1-1-1-11111111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-11ii−i−i−i−iiiii−i−i−i−iii-11
χ1411111-1-1-1-11111111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-11−i−iiiii−i−i−i−iiiii−i−i-11
χ1511111-1-1-1-11111111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-111-1-11111-1-11-1
χ1611111-1-1-1-11111111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-111-1-1-1-1111-1
χ172222222-2-22222222222222222-22222222200-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222000000000000000022222-2-2-2000000000000000000
χ182222222-2-22222222222222222-22222222200-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2222000000000000000000
χ1922222-2-2222222222222222222-22222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222220000000000000000222-2-222-2000000000000000000
χ2022222-2-2222222222222222222-22222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-20000000000000000-2-2-222-2-22000000000000000000
χ2122-22-2002i−2i2222-2-2-2-2-2-2-2-2222202222-2-2-2-20000000000000000002i2i2i2i−2i−2i−2i−2i220000000000000000-22-2002i−2i01+i−1−i1−i−1+i00001+i−1−i1−i−1+i000000
χ2222-22-2002i−2i2222-2-2-2-2-2-2-2-2222202222-2-2-2-20000000000000000002i2i2i2i−2i−2i−2i−2i220000000000000000-22-2002i−2i0−1−i1+i−1+i1−i0000−1−i1+i−1+i1−i000000
χ2322-22-2002i−2i2222-2-2-2-2-2-2-2-2222202222-2-2-2-20000000000000000002i2i2i2i−2i−2i−2i−2i-2-200000000000000002-2200−2i2i01−i−1+i−1−i1+i0000−1+i1−i1+i−1−i000000
χ2422-22-2002i−2i2222-2-2-2-2-2-2-2-2222202222-2-2-2-20000000000000000002i2i2i2i−2i−2i−2i−2i-2-200000000000000002-2200−2i2i0−1+i1−i1+i−1−i00001−i−1+i−1−i1+i000000
χ2522-22-200−2i2i2222-2-2-2-2-2-2-2-2222202222-2-2-2-2000000000000000000−2i−2i−2i−2i2i2i2i2i220000000000000000-22-200−2i2i01−i−1+i1+i−1−i00001−i−1+i1+i−1−i000000
χ2622-22-200−2i2i2222-2-2-2-2-2-2-2-2222202222-2-2-2-2000000000000000000−2i−2i−2i−2i2i2i2i2i220000000000000000-22-200−2i2i0−1+i1−i−1−i1+i0000−1+i1−i−1−i1+i000000
χ2722-22-200−2i2i2222-2-2-2-2-2-2-2-2222202222-2-2-2-2000000000000000000−2i−2i−2i−2i2i2i2i2i-2-200000000000000002-22002i−2i01+i−1−i−1+i1−i0000−1−i1+i1−i−1+i000000
χ2822-22-200−2i2i2222-2-2-2-2-2-2-2-2222202222-2-2-2-2000000000000000000−2i−2i−2i−2i2i2i2i2i-2-200000000000000002-22002i−2i0−1−i1+i1−i−1+i00001+i−1−i−1+i1−i000000
χ2922-2-222i−2i002222-2-2-2-2-2-2-2-222220-2-2-2-2222200000000002i2i2i2i−2i−2i−2i−2i00000000220000000000000000-2-222i−2i00000001+i−1−i1−i−1+i00001+i−1−i1−i−1+i00
χ3022-2-222i−2i002222-2-2-2-2-2-2-2-222220-2-2-2-2222200000000002i2i2i2i−2i−2i−2i−2i00000000220000000000000000-2-222i−2i0000000−1−i1+i−1+i1−i0000−1−i1+i−1+i1−i00
χ3122-2-222i−2i002222-2-2-2-2-2-2-2-222220-2-2-2-2222200000000002i2i2i2i−2i−2i−2i−2i00000000-2-2000000000000000022-2−2i2i00000001−i−1+i−1−i1+i0000−1+i1−i1+i−1−i00
χ3222-2-222i−2i002222-2-2-2-2-2-2-2-222220-2-2-2-2222200000000002i2i2i2i−2i−2i−2i−2i00000000-2-2000000000000000022-2−2i2i0000000−1+i1−i1+i−1−i00001−i−1+i−1−i1+i00
χ3322-2-22−2i2i002222-2-2-2-2-2-2-2-222220-2-2-2-222220000000000−2i−2i−2i−2i2i2i2i2i00000000220000000000000000-2-22−2i2i00000001−i−1+i1+i−1−i00001−i−1+i1+i−1−i00
χ3422-2-22−2i2i002222-2-2-2-2-2-2-2-222220-2-2-2-222220000000000−2i−2i−2i−2i2i2i2i2i00000000220000000000000000-2-22−2i2i0000000−1+i1−i−1−i1+i0000−1+i1−i−1−i1+i00
χ3522-2-22−2i2i002222-2-2-2-2-2-2-2-222220-2-2-2-222220000000000−2i−2i−2i−2i2i2i2i2i00000000-2-2000000000000000022-22i−2i00000001+i−1−i−1+i1−i0000−1−i1+i1−i−1+i00
χ3622-2-22−2i2i002222-2-2-2-2-2-2-2-222220-2-2-2-222220000000000−2i−2i−2i−2i2i2i2i2i00000000-2-2000000000000000022-22i−2i0000000−1−i1+i1−i−1+i00001+i−1−i−1+i1−i00
χ37444444444−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ664−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ6644−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ6600−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ6600000000000000000000000000
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χ39444444444−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ544−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ5444−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ5400−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ5400000000000000000000000000
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χ9388-8-88−8i8i00−2ζ14−2ζ22−2ζ46−2ζ54−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ6−2ζ10−2ζ58−2ζ622ζ14+2ζ22+2ζ46+2ζ542ζ14+2ζ22+2ζ46+2ζ542ζ18+2ζ30+2ζ38+2ζ502ζ18+2ζ30+2ζ38+2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ2+2ζ26+2ζ42+2ζ662ζ6+2ζ10+2ζ58+2ζ622ζ6+2ζ10+2ζ58+2ζ62−2ζ14−2ζ22−2ζ46−2ζ54−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ6−2ζ10−2ζ58−2ζ6202ζ14+2ζ22+2ζ46+2ζ542ζ18+2ζ30+2ζ38+2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ6+2ζ10+2ζ58+2ζ62−2ζ14−2ζ22−2ζ46−2ζ54−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ6−2ζ10−2ζ58−2ζ6200000000002ζ3+2ζ31+2ζ39+2ζ632ζ35+2ζ47+2ζ55+2ζ672ζ15+2ζ19+2ζ43+2ζ592ζ7+2ζ11+2ζ23+2ζ27−2ζ3−2ζ31−2ζ39−2ζ63−2ζ35−2ζ47−2ζ55−2ζ67−2ζ15−2ζ19−2ζ43−2ζ59−2ζ7−2ζ11−2ζ23−2ζ270000000000000000000000000000000000000000000000000000
χ9488-8-88−8i8i00−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ2+2ζ26+2ζ42+2ζ662ζ14+2ζ22+2ζ46+2ζ542ζ14+2ζ22+2ζ46+2ζ542ζ6+2ζ10+2ζ58+2ζ622ζ6+2ζ10+2ζ58+2ζ622ζ18+2ζ30+2ζ38+2ζ502ζ18+2ζ30+2ζ38+2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ5002ζ2+2ζ26+2ζ42+2ζ662ζ14+2ζ22+2ζ46+2ζ542ζ6+2ζ10+2ζ58+2ζ622ζ18+2ζ30+2ζ38+2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ5000000000002ζ15+2ζ19+2ζ43+2ζ592ζ3+2ζ31+2ζ39+2ζ632ζ7+2ζ11+2ζ23+2ζ272ζ35+2ζ47+2ζ55+2ζ67−2ζ15−2ζ19−2ζ43−2ζ59−2ζ3−2ζ31−2ζ39−2ζ63−2ζ7−2ζ11−2ζ23−2ζ27−2ζ35−2ζ47−2ζ55−2ζ670000000000000000000000000000000000000000000000000000
χ958-80000000888800000000-8-8-8-8000000000000000000000000000000000008-8000000000000000000000000000000000000000000
χ968-80000000888800000000-8-8-8-800000000000000000000000000000000000-88000000000000000000000000000000000000000000
χ9716-160000000−4ζ18−4ζ30−4ζ38−4ζ50−4ζ6−4ζ10−4ζ58−4ζ62−4ζ14−4ζ22−4ζ46−4ζ54−4ζ2−4ζ26−4ζ42−4ζ664ζ18−4ζ30−4ζ38+4ζ50−4ζ18+4ζ30+4ζ38−4ζ504ζ6−4ζ10−4ζ58+4ζ62−4ζ6+4ζ10+4ζ58−4ζ624ζ14−4ζ22−4ζ46+4ζ54−4ζ14+4ζ22+4ζ46−4ζ544ζ2−4ζ26−4ζ42+4ζ66−4ζ2+4ζ26+4ζ42−4ζ664ζ18+4ζ30+4ζ38+4ζ504ζ6+4ζ10+4ζ58+4ζ624ζ14+4ζ22+4ζ46+4ζ544ζ2+4ζ26+4ζ42+4ζ660000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9816-160000000−4ζ18−4ζ30−4ζ38−4ζ50−4ζ6−4ζ10−4ζ58−4ζ62−4ζ14−4ζ22−4ζ46−4ζ54−4ζ2−4ζ26−4ζ42−4ζ66−4ζ18+4ζ30+4ζ38−4ζ504ζ18−4ζ30−4ζ38+4ζ50−4ζ6+4ζ10+4ζ58−4ζ624ζ6−4ζ10−4ζ58+4ζ62−4ζ14+4ζ22+4ζ46−4ζ544ζ14−4ζ22−4ζ46+4ζ54−4ζ2+4ζ26+4ζ42−4ζ664ζ2−4ζ26−4ζ42+4ζ664ζ18+4ζ30+4ζ38+4ζ504ζ6+4ζ10+4ζ58+4ζ624ζ14+4ζ22+4ζ46+4ζ544ζ2+4ζ26+4ζ42+4ζ660000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9916-160000000−4ζ6−4ζ10−4ζ58−4ζ62−4ζ2−4ζ26−4ζ42−4ζ66−4ζ18−4ζ30−4ζ38−4ζ50−4ζ14−4ζ22−4ζ46−4ζ544ζ6−4ζ10−4ζ58+4ζ62−4ζ6+4ζ10+4ζ58−4ζ624ζ2−4ζ26−4ζ42+4ζ66−4ζ2+4ζ26+4ζ42−4ζ664ζ18−4ζ30−4ζ38+4ζ50−4ζ18+4ζ30+4ζ38−4ζ50−4ζ14+4ζ22+4ζ46−4ζ544ζ14−4ζ22−4ζ46+4ζ544ζ6+4ζ10+4ζ58+4ζ624ζ2+4ζ26+4ζ42+4ζ664ζ18+4ζ30+4ζ38+4ζ504ζ14+4ζ22+4ζ46+4ζ540000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10016-160000000−4ζ6−4ζ10−4ζ58−4ζ62−4ζ2−4ζ26−4ζ42−4ζ66−4ζ18−4ζ30−4ζ38−4ζ50−4ζ14−4ζ22−4ζ46−4ζ54−4ζ6+4ζ10+4ζ58−4ζ624ζ6−4ζ10−4ζ58+4ζ62−4ζ2+4ζ26+4ζ42−4ζ664ζ2−4ζ26−4ζ42+4ζ66−4ζ18+4ζ30+4ζ38−4ζ504ζ18−4ζ30−4ζ38+4ζ504ζ14−4ζ22−4ζ46+4ζ54−4ζ14+4ζ22+4ζ46−4ζ544ζ6+4ζ10+4ζ58+4ζ624ζ2+4ζ26+4ζ42+4ζ664ζ18+4ζ30+4ζ38+4ζ504ζ14+4ζ22+4ζ46+4ζ540000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10116-160000000−4ζ14−4ζ22−4ζ46−4ζ54−4ζ18−4ζ30−4ζ38−4ζ50−4ζ2−4ζ26−4ζ42−4ζ66−4ζ6−4ζ10−4ζ58−4ζ624ζ14−4ζ22−4ζ46+4ζ54−4ζ14+4ζ22+4ζ46−4ζ544ζ18−4ζ30−4ζ38+4ζ50−4ζ18+4ζ30+4ζ38−4ζ50−4ζ2+4ζ26+4ζ42−4ζ664ζ2−4ζ26−4ζ42+4ζ664ζ6−4ζ10−4ζ58+4ζ62−4ζ6+4ζ10+4ζ58−4ζ624ζ14+4ζ22+4ζ46+4ζ544ζ18+4ζ30+4ζ38+4ζ504ζ2+4ζ26+4ζ42+4ζ664ζ6+4ζ10+4ζ58+4ζ620000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10216-160000000−4ζ14−4ζ22−4ζ46−4ζ54−4ζ18−4ζ30−4ζ38−4ζ50−4ζ2−4ζ26−4ζ42−4ζ66−4ζ6−4ζ10−4ζ58−4ζ62−4ζ14+4ζ22+4ζ46−4ζ544ζ14−4ζ22−4ζ46+4ζ54−4ζ18+4ζ30+4ζ38−4ζ504ζ18−4ζ30−4ζ38+4ζ504ζ2−4ζ26−4ζ42+4ζ66−4ζ2+4ζ26+4ζ42−4ζ66−4ζ6+4ζ10+4ζ58−4ζ624ζ6−4ζ10−4ζ58+4ζ624ζ14+4ζ22+4ζ46+4ζ544ζ18+4ζ30+4ζ38+4ζ504ζ2+4ζ26+4ζ42+4ζ664ζ6+4ζ10+4ζ58+4ζ620000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10316-160000000−4ζ2−4ζ26−4ζ42−4ζ66−4ζ14−4ζ22−4ζ46−4ζ54−4ζ6−4ζ10−4ζ58−4ζ62−4ζ18−4ζ30−4ζ38−4ζ504ζ2−4ζ26−4ζ42+4ζ66−4ζ2+4ζ26+4ζ42−4ζ66−4ζ14+4ζ22+4ζ46−4ζ544ζ14−4ζ22−4ζ46+4ζ544ζ6−4ζ10−4ζ58+4ζ62−4ζ6+4ζ10+4ζ58−4ζ62−4ζ18+4ζ30+4ζ38−4ζ504ζ18−4ζ30−4ζ38+4ζ504ζ2+4ζ26+4ζ42+4ζ664ζ14+4ζ22+4ζ46+4ζ544ζ6+4ζ10+4ζ58+4ζ624ζ18+4ζ30+4ζ38+4ζ500000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10416-160000000−4ζ2−4ζ26−4ζ42−4ζ66−4ζ14−4ζ22−4ζ46−4ζ54−4ζ6−4ζ10−4ζ58−4ζ62−4ζ18−4ζ30−4ζ38−4ζ50−4ζ2+4ζ26+4ζ42−4ζ664ζ2−4ζ26−4ζ42+4ζ664ζ14−4ζ22−4ζ46+4ζ54−4ζ14+4ζ22+4ζ46−4ζ54−4ζ6+4ζ10+4ζ58−4ζ624ζ6−4ζ10−4ζ58+4ζ624ζ18−4ζ30−4ζ38+4ζ50−4ζ18+4ζ30+4ζ38−4ζ504ζ2+4ζ26+4ζ42+4ζ664ζ14+4ζ22+4ζ46+4ζ544ζ6+4ζ10+4ζ58+4ζ624ζ18+4ζ30+4ζ38+4ζ500000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 68 (ζ68 = 1); i = ζ17.