Finite Group Databasebeta

← Group #14292324

Character table — Group #14292324

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222222222444444444444444444444888888888888888121212121616161616161616161616161616162020202024242424242424242424242424242424242430303030404040404040404040406060240
order1222344445566610101010101041212121215152020202020202020303030303030122020606060606060606060606060444441212202020206060606060606060888888202020202020202040404040404040408888882424242424242424884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11
χ511111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1
χ9222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000000
χ10222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2-21+521+521−521−521+521+521+521+521−521−521−521−520000-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5200000000000000000
χ11222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-21+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−5200000000000000000
χ12222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-21+521+521−521−521+521+521+521+521−521−521−521−520000221+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000000
χ13222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000000
χ14222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-21−521−521+521+521−521−521−521−521+521+521+521+520000-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5200000000000000000
χ15222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-21−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+5200000000000000000
χ16222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-21−521−521+521+521−521−521−521−521+521+521+521+520000221−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000000
χ17222222-22-222222222222-22-22-222-2-2-2-22222222222-2-2-222-2-222-2-2-2-2-2-222-2-20000000000000000000002222-2-2-2-20000000000000000000000000
χ18222222-22-222222222222-22-22-222-2-2-2-22222222222-2-2-222-2-222-2-2-2-2-2-2-2-222000000000000000000000-2-2-2-222220000000000000000000000000
χ19222222-22-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-22-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-21+521−52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−5222-2-2000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116000000−1−52−1−52−1+52−1+521+521+521−521−52−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ11600000000000000000
χ20222222-22-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-22-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-21+521−52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−5222-2-2000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116000000−1−52−1−52−1+52−1+521+521+521−521−52ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ11600000000000000000
χ21222222-22-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-22-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-21+521−52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−52-2-222000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ1160000001+521+521−521−52−1−52−1−52−1+52−1+52ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ11600000000000000000
χ22222222-22-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-22-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-21+521−52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−52-2-222000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ1160000001+521+521−521−52−1−52−1−52−1+52−1+52−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ11600000000000000000
χ23222222-22-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-22-22-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-21−521+52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+5222-2-2000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92000000−1+52−1+52−1−52−1−521−521−521+521+52ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ9200000000000000000
χ24222222-22-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-22-22-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-21−521+52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+5222-2-2000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92000000−1+52−1+52−1−52−1−521−521−521+521+52−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ9200000000000000000
χ25222222-22-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-22-22-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-21−521+52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+52-2-222000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ920000001−521−521+521+52−1+52−1+52−1−52−1−52−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ9200000000000000000
χ26222222-22-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-22-22-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-21−521+52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+52-2-222000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ920000001−521−521+521+52−1+52−1+52−1−52−1−52ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ9200000000000000000
χ2722222-22-2222222222222-2-22-22222222-2-2-2-2222222-2-2-2-2-222-2-222-2-2-2-20000000000000000000000000000000000000000022220000000000-2-20
χ2822222-22-2222222222222-2-22-22222222-2-2-2-2222222-2-2-2-2-222-2-222-2-2-2-200000000000000000000000000000000000000000-2-2-2-20000000000220
χ2922222-2-2-2-2222222222222-2-2-2-222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2222200000000000000000002i2i−2i−2i0000000000000000000000002i2i−2i−2i0000000
χ3022222-2-2-2-2222222222222-2-2-2-222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-222220000000000000000000−2i−2i2i2i000000000000000000000000−2i−2i2i2i0000000
χ312222-1222222-1-1-12222222-1-1-1-1-1-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100002-1-12222-1-1-1-1-1-1-1-12222000000000000000000000022-1-1-1-1-1-1-1-1000
χ322222-1222222-1-1-12222222-1-1-1-1-1-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100002-1-12222-1-1-1-1-1-1-1-1-2-2-2-20000000000000000000000-2-211111111000
χ332222-1222222-1-1-12222222-1-1-1-1-1-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-211-2-2-2-21111111122220000000000000000000000-2-2-1-1-1-11111000
χ342222-1222222-1-1-12222222-1-1-1-1-1-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-211-2-2-2-211111111-2-2-2-20000000000000000000000221111-1-1-1-1000
χ352222-1-2-2-2-222-1-1-122222221111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-100000−i3i30000−i3i3−i3i3−i3i3−i3i32i2i−2i−2i000000000000000000000000−i−iii33−3−3000
χ362222-1-2-2-2-222-1-1-122222221111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-100000−i3i30000−i3i3−i3i3−i3i3−i3i3−2i−2i2i2i000000000000000000000000ii−i−i−3−333000
χ372222-1-2-2-2-222-1-1-122222221111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-100000i3−i30000i3−i3i3−i3i3−i3i3−i32i2i−2i−2i000000000000000000000000−i−iii−3−333000
χ382222-1-2-2-2-222-1-1-122222221111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-100000i3−i30000i3−i3i3−i3i3−i3i3−i3−2i−2i2i2i000000000000000000000000ii−i−i33−3−3000
χ3922-2-2220-20222-2-2-2-222-2-2020-2022000022-2-22-22-2-2-20002-2002-20000002-2000000000000000002−22−2002-22-200000000000022−2−2002−22−200002−20
χ4022-2-2220-20222-2-2-2-222-2-2020-2022000022-2-22-22-2-2-20002-2002-20000002-200000000000000000−22−22002-22-2000000000000−2−22200−22−220000−220
χ4122-2-2220-20222-2-2-2-222-2-2020-2022000022-2-22-22-2-2-20002-2002-2000000-22000000000000000002−22−200-22-22000000000000−2−222002−22−20000−220
χ4222-2-2220-20222-2-2-2-222-2-2020-2022000022-2-22-22-2-2-20002-2002-2000000-2200000000000000000−22−2200-22-2200000000000022−2−200−22−2200002−20
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χ924-4-4440-404−1−5−1+5-44-4−1−5−1+51+51−51+51−500-404−1−5−1+5−1−51+5−1+51−500001+5−1−51−5−1+51+51−500000−1−51+500−1+51−500000000000000000000000000022−2200000000−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ11900000000000000000
χ934-4-4440-404−1−5−1+5-44-4−1−5−1+51+51−51+51−500-404−1−5−1+5−1−51+5−1+51−500001+5−1−51−5−1+51+51−500000−1−51+500−1+51−5000000000000000000000000000−222200000000ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ11900000000000000000
χ944-4-4440-404−1+5−1−5-44-4−1+5−1−51−51+51−51+500-404−1+5−1−5−1+51−5−1−51+500001−5−1+51+5−1−51−51+500000−1+51−500−1−51+500000000000000000000000000022−2200000000ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ10300000000000000000
χ954-4-4440-404−1+5−1−5-44-4−1+5−1−51−51+51−51+500-404−1+5−1−5−1+51−5−1−51+500001−5−1+51+5−1−51−51+500000−1+51−500−1−51+5000000000000000000000000000−222200000000−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ10300000000000000000
χ964-4-44-2040-4442-2244-4-4-4-400-202-2-2-44-4400002-22-222000002-2002-20000000000000000000000000000000000000000000000000000000−i6i6i6−i6000
χ974-4-44-2040-4442-2244-4-4-4-400-202-2-2-44-4400002-22-222000002-2002-20000000000000000000000000000000000000000000000000000000i6−i6−i6i6000
χ984-4-44-20-404442-2244-4-4-4-40020-2-2-24-44-400002-22-22200000-2200-220000000000000000000000000000000000000000000000000−2i22i20000i2−i2i2−i2000
χ994-4-44-20-404442-2244-4-4-4-40020-2-2-24-44-400002-22-22200000-2200-2200000000000000000000000000000000000000000000000002i2−2i20000−i2i2−i2i2000
χ10088-8-8-480-80−2−25−2+25-4442+252−25−2−25−2+252+252−250-40401+51−50000−2−25−2+252+252−251+5−1−51−5−1+5−1−5−1+50001+5−1−5001−5−1+50000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-480-80−2+25−2−25-4442−252+25−2+25−2−252−252+250-40401−51+50000−2+25−2−252−252+251−5−1+51+5−1−5−1+5−1−50001−5−1+5001+5−1−50000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-8080−2−25−2+25-4442+252−25−2−25−2+252+252−25040-401+51−500002+252−25−2−25−2+251+5−1−51−5−1+5−1−5−1+5000−1−51+500−1+51−50000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-8080−2+25−2−25-4442−252+25−2+25−2−252−252+25040-401−51+500002−252+25−2+25−2−251−5−1+51+5−1−5−1+5−1−5000−1+51−500−1−51+50000000000000000000000000000000000000000000000000000000000000000
χ1048-88-880000−2−25−2+25-8-882+252−252+252−25−2−25−2+2500000−2−25−2+25000000002+252+252−252−25−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-880000−2+25−2−25-8-882−252+252−252+25−2+25−2−2500000−2+25−2−25000000002−252−252+252+25−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-400008844-4-8-8-8-88800000-4-4000000004444-4-40000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-40000−2−25−2+2544-42+252−252+252−25−2−25−2+25000001+51−500000000−1−5−1−5−1+5−1+51+51−5000000000002ζ28−2ζ52−2ζ68+2ζ92−2ζ28+2ζ52+2ζ68−2ζ92−2ζ4+2ζ44+2ζ76−2ζ1162ζ4−2ζ44−2ζ76+2ζ1160000000000000000000000000000000000000000000000000000000000
χ1088-88-8-40000−2−25−2+2544-42+252−252+252−25−2−25−2+25000001+51−500000000−1−5−1−5−1+5−1+51+51−500000000000−2ζ28+2ζ52+2ζ68−2ζ922ζ28−2ζ52−2ζ68+2ζ922ζ4−2ζ44−2ζ76+2ζ116−2ζ4+2ζ44+2ζ76−2ζ1160000000000000000000000000000000000000000000000000000000000
χ1098-88-8-40000−2+25−2−2544-42−252+252−252+25−2+25−2−25000001−51+500000000−1+5−1+5−1−5−1−51−51+500000000000−2ζ4+2ζ44+2ζ76−2ζ1162ζ4−2ζ44−2ζ76+2ζ116−2ζ28+2ζ52+2ζ68−2ζ922ζ28−2ζ52−2ζ68+2ζ920000000000000000000000000000000000000000000000000000000000
χ1108-88-8-40000−2+25−2−2544-42−252+252−252+25−2+25−2−25000001−51+500000000−1+5−1+5−1−5−1−51−51+5000000000002ζ4−2ζ44−2ζ76+2ζ116−2ζ4+2ζ44+2ζ76−2ζ1162ζ28−2ζ52−2ζ68+2ζ92−2ζ28+2ζ52+2ζ68−2ζ920000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4080-8−2−25−2+254-44−2−25−2+252+252−252+252−2500-4041+51−52+25−2−252−25−2+250000−1−51+5−1+51−5−1−5−1+500000−1−51+500−1+51−500000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4080-8−2+25−2−254-44−2+25−2−252−252+252−252+2500-4041−51+52−25−2+252+25−2−250000−1+51−5−1−51+5−1+5−1−500000−1+51−500−1−51+500000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-40-808−2−25−2+254-44−2−25−2+252+252−252+252−250040-41+51−5−2−252+25−2+252−250000−1−51+5−1+51−5−1−5−1+5000001+5−1−5001−5−1+500000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-40-808−2+25−2−254-44−2+25−2−252−252+252−252+250040-41−51+5−2+252−25−2−252+250000−1+51−5−1−51+5−1+5−1−5000001−5−1+5001+5−1−500000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.