Order 15600.
| C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 | C10 | C11 | C12 | C13 | C14 | C15 | C16 | C17 | C18 | C19 | C20 | C21 | C22 | C23 | C24 | C25 | C26 | C27 | C28 | C29 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| size | 1 | 1 | 312 | 312 | 312 | 312 | 600 | 600 | 600 | 600 | 600 | 600 | 600 | 600 | 600 | 600 | 600 | 600 | 650 | 650 | 650 | 650 | 650 | 650 | 650 | 650 | 650 | 650 | 650 |
| order | 1 | 2 | 5 | 5 | 10 | 10 | 13 | 13 | 13 | 13 | 13 | 13 | 26 | 26 | 26 | 26 | 26 | 26 | 3 | 4 | 6 | 8 | 8 | 12 | 12 | 24 | 24 | 24 | 24 |
| χ1 | 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 |
| χ2 | 12 | -12 | 2 | -3 | 3 | -2 | -1 | -1 | -1 | -1 | -1 | -1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ3 | 12 | -12 | -3 | 2 | -2 | 3 | -1 | -1 | -1 | -1 | -1 | -1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ4 | 13 | 13 | 3 | -2 | -2 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | -1 | -1 | 1 | 1 | -1 | -1 | -1 | -1 |
| χ5 | 13 | 13 | -2 | 3 | 3 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | -1 | -1 | 1 | 1 | -1 | -1 | -1 | -1 |
| χ6 | 24 | 24 | -1 | -1 | -1 | -1 | −ζ20−ζ124−ζ188−ζ292 | −ζ4−ζ100−ζ212−ζ308 | −ζ92−ζ116−ζ196−ζ220 | −ζ68−ζ140−ζ172−ζ244 | −ζ28−ζ76−ζ236−ζ284 | −ζ44−ζ148−ζ164−ζ268 | −ζ20−ζ124−ζ188−ζ292 | −ζ4−ζ100−ζ212−ζ308 | −ζ92−ζ116−ζ196−ζ220 | −ζ68−ζ140−ζ172−ζ244 | −ζ28−ζ76−ζ236−ζ284 | −ζ44−ζ148−ζ164−ζ268 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ7 | 24 | 24 | -1 | -1 | -1 | -1 | −ζ4−ζ100−ζ212−ζ308 | −ζ20−ζ124−ζ188−ζ292 | −ζ44−ζ148−ζ164−ζ268 | −ζ28−ζ76−ζ236−ζ284 | −ζ68−ζ140−ζ172−ζ244 | −ζ92−ζ116−ζ196−ζ220 | −ζ4−ζ100−ζ212−ζ308 | −ζ20−ζ124−ζ188−ζ292 | −ζ44−ζ148−ζ164−ζ268 | −ζ28−ζ76−ζ236−ζ284 | −ζ68−ζ140−ζ172−ζ244 | −ζ92−ζ116−ζ196−ζ220 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ8 | 24 | 24 | -1 | -1 | -1 | -1 | −ζ92−ζ116−ζ196−ζ220 | −ζ44−ζ148−ζ164−ζ268 | −ζ28−ζ76−ζ236−ζ284 | −ζ20−ζ124−ζ188−ζ292 | −ζ4−ζ100−ζ212−ζ308 | −ζ68−ζ140−ζ172−ζ244 | −ζ92−ζ116−ζ196−ζ220 | −ζ44−ζ148−ζ164−ζ268 | −ζ28−ζ76−ζ236−ζ284 | −ζ20−ζ124−ζ188−ζ292 | −ζ4−ζ100−ζ212−ζ308 | −ζ68−ζ140−ζ172−ζ244 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ9 | 24 | 24 | -1 | -1 | -1 | -1 | −ζ68−ζ140−ζ172−ζ244 | −ζ28−ζ76−ζ236−ζ284 | −ζ20−ζ124−ζ188−ζ292 | −ζ44−ζ148−ζ164−ζ268 | −ζ92−ζ116−ζ196−ζ220 | −ζ4−ζ100−ζ212−ζ308 | −ζ68−ζ140−ζ172−ζ244 | −ζ28−ζ76−ζ236−ζ284 | −ζ20−ζ124−ζ188−ζ292 | −ζ44−ζ148−ζ164−ζ268 | −ζ92−ζ116−ζ196−ζ220 | −ζ4−ζ100−ζ212−ζ308 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ10 | 24 | 24 | -1 | -1 | -1 | -1 | −ζ28−ζ76−ζ236−ζ284 | −ζ68−ζ140−ζ172−ζ244 | −ζ4−ζ100−ζ212−ζ308 | −ζ92−ζ116−ζ196−ζ220 | −ζ44−ζ148−ζ164−ζ268 | −ζ20−ζ124−ζ188−ζ292 | −ζ28−ζ76−ζ236−ζ284 | −ζ68−ζ140−ζ172−ζ244 | −ζ4−ζ100−ζ212−ζ308 | −ζ92−ζ116−ζ196−ζ220 | −ζ44−ζ148−ζ164−ζ268 | −ζ20−ζ124−ζ188−ζ292 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ11 | 24 | 24 | -1 | -1 | -1 | -1 | −ζ44−ζ148−ζ164−ζ268 | −ζ92−ζ116−ζ196−ζ220 | −ζ68−ζ140−ζ172−ζ244 | −ζ4−ζ100−ζ212−ζ308 | −ζ20−ζ124−ζ188−ζ292 | −ζ28−ζ76−ζ236−ζ284 | −ζ44−ζ148−ζ164−ζ268 | −ζ92−ζ116−ζ196−ζ220 | −ζ68−ζ140−ζ172−ζ244 | −ζ4−ζ100−ζ212−ζ308 | −ζ20−ζ124−ζ188−ζ292 | −ζ28−ζ76−ζ236−ζ284 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ12 | 24 | -24 | -1 | -1 | 1 | 1 | −ζ20−ζ124−ζ188−ζ292 | −ζ4−ζ100−ζ212−ζ308 | −ζ92−ζ116−ζ196−ζ220 | −ζ68−ζ140−ζ172−ζ244 | −ζ28−ζ76−ζ236−ζ284 | −ζ44−ζ148−ζ164−ζ268 | ζ20+ζ124+ζ188+ζ292 | ζ4+ζ100+ζ212+ζ308 | ζ92+ζ116+ζ196+ζ220 | ζ68+ζ140+ζ172+ζ244 | ζ28+ζ76+ζ236+ζ284 | ζ44+ζ148+ζ164+ζ268 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ13 | 24 | -24 | -1 | -1 | 1 | 1 | −ζ4−ζ100−ζ212−ζ308 | −ζ20−ζ124−ζ188−ζ292 | −ζ44−ζ148−ζ164−ζ268 | −ζ28−ζ76−ζ236−ζ284 | −ζ68−ζ140−ζ172−ζ244 | −ζ92−ζ116−ζ196−ζ220 | ζ4+ζ100+ζ212+ζ308 | ζ20+ζ124+ζ188+ζ292 | ζ44+ζ148+ζ164+ζ268 | ζ28+ζ76+ζ236+ζ284 | ζ68+ζ140+ζ172+ζ244 | ζ92+ζ116+ζ196+ζ220 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ14 | 24 | -24 | -1 | -1 | 1 | 1 | −ζ92−ζ116−ζ196−ζ220 | −ζ44−ζ148−ζ164−ζ268 | −ζ28−ζ76−ζ236−ζ284 | −ζ20−ζ124−ζ188−ζ292 | −ζ4−ζ100−ζ212−ζ308 | −ζ68−ζ140−ζ172−ζ244 | ζ92+ζ116+ζ196+ζ220 | ζ44+ζ148+ζ164+ζ268 | ζ28+ζ76+ζ236+ζ284 | ζ20+ζ124+ζ188+ζ292 | ζ4+ζ100+ζ212+ζ308 | ζ68+ζ140+ζ172+ζ244 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ15 | 24 | -24 | -1 | -1 | 1 | 1 | −ζ68−ζ140−ζ172−ζ244 | −ζ28−ζ76−ζ236−ζ284 | −ζ20−ζ124−ζ188−ζ292 | −ζ44−ζ148−ζ164−ζ268 | −ζ92−ζ116−ζ196−ζ220 | −ζ4−ζ100−ζ212−ζ308 | ζ68+ζ140+ζ172+ζ244 | ζ28+ζ76+ζ236+ζ284 | ζ20+ζ124+ζ188+ζ292 | ζ44+ζ148+ζ164+ζ268 | ζ92+ζ116+ζ196+ζ220 | ζ4+ζ100+ζ212+ζ308 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ16 | 24 | -24 | -1 | -1 | 1 | 1 | −ζ28−ζ76−ζ236−ζ284 | −ζ68−ζ140−ζ172−ζ244 | −ζ4−ζ100−ζ212−ζ308 | −ζ92−ζ116−ζ196−ζ220 | −ζ44−ζ148−ζ164−ζ268 | −ζ20−ζ124−ζ188−ζ292 | ζ28+ζ76+ζ236+ζ284 | ζ68+ζ140+ζ172+ζ244 | ζ4+ζ100+ζ212+ζ308 | ζ92+ζ116+ζ196+ζ220 | ζ44+ζ148+ζ164+ζ268 | ζ20+ζ124+ζ188+ζ292 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ17 | 24 | -24 | -1 | -1 | 1 | 1 | −ζ44−ζ148−ζ164−ζ268 | −ζ92−ζ116−ζ196−ζ220 | −ζ68−ζ140−ζ172−ζ244 | −ζ4−ζ100−ζ212−ζ308 | −ζ20−ζ124−ζ188−ζ292 | −ζ28−ζ76−ζ236−ζ284 | ζ44+ζ148+ζ164+ζ268 | ζ92+ζ116+ζ196+ζ220 | ζ68+ζ140+ζ172+ζ244 | ζ4+ζ100+ζ212+ζ308 | ζ20+ζ124+ζ188+ζ292 | ζ28+ζ76+ζ236+ζ284 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ18 | 25 | 25 | 0 | 0 | 0 | 0 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| χ19 | 26 | 26 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | -2 | 2 | 0 | 0 | -2 | -2 | 0 | 0 | 0 | 0 |
| χ20 | 26 | 26 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | 2 | -1 | 2 | 2 | -1 | -1 | -1 | -1 | -1 | -1 |
| χ21 | 26 | 26 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | 2 | -1 | -2 | -2 | -1 | -1 | 1 | 1 | 1 | 1 |
| χ22 | 26 | 26 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | -2 | -1 | 0 | 0 | 1 | 1 | ||||
| χ23 | 26 | 26 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | -2 | -1 | 0 | 0 | 1 | 1 | ||||
| χ24 | 26 | -26 | 1 | 1 | -1 | -1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | -2 | 0 | 0 | ||||||
| χ25 | 26 | -26 | 1 | 1 | -1 | -1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | -2 | 0 | 0 | ||||||
| χ26 | 26 | -26 | 1 | 1 | -1 | -1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | 0 | 1 | ζ5−ζ7+ζ29−ζ31+ζ53−ζ55+ζ77−ζ79+ζ101−ζ103+ζ125−ζ127+ζ149−ζ151+ζ173−ζ175+ζ197−ζ199−ζ223+ζ245+ζ269−ζ271+ζ293−ζ295 | −ζ5+ζ7−ζ29+ζ31−ζ53+ζ55−ζ77+ζ79−ζ101+ζ103−ζ125+ζ127−ζ149+ζ151−ζ173+ζ175−ζ197+ζ199+ζ223−ζ245−ζ269+ζ271−ζ293+ζ295 | −ζ23+ζ37−ζ47+ζ61−ζ71+ζ85−ζ95+ζ109−ζ119+ζ133+ζ157−ζ167+ζ181−ζ191+ζ205−ζ215+ζ229−ζ239+ζ253−ζ263+ζ277−ζ287+ζ301−ζ311 | ζ23−ζ37+ζ47−ζ61+ζ71−ζ85+ζ95−ζ109+ζ119−ζ133−ζ157+ζ167−ζ181+ζ191−ζ205+ζ215−ζ229+ζ239−ζ253+ζ263−ζ277+ζ287−ζ301+ζ311 | ||||
| χ27 | 26 | -26 | 1 | 1 | -1 | -1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | 0 | 1 | −ζ23+ζ37−ζ47+ζ61−ζ71+ζ85−ζ95+ζ109−ζ119+ζ133+ζ157−ζ167+ζ181−ζ191+ζ205−ζ215+ζ229−ζ239+ζ253−ζ263+ζ277−ζ287+ζ301−ζ311 | ζ23−ζ37+ζ47−ζ61+ζ71−ζ85+ζ95−ζ109+ζ119−ζ133−ζ157+ζ167−ζ181+ζ191−ζ205+ζ215−ζ229+ζ239−ζ253+ζ263−ζ277+ζ287−ζ301+ζ311 | ζ5−ζ7+ζ29−ζ31+ζ53−ζ55+ζ77−ζ79+ζ101−ζ103+ζ125−ζ127+ζ149−ζ151+ζ173−ζ175+ζ197−ζ199−ζ223+ζ245+ζ269−ζ271+ζ293−ζ295 | −ζ5+ζ7−ζ29+ζ31−ζ53+ζ55−ζ77+ζ79−ζ101+ζ103−ζ125+ζ127−ζ149+ζ151−ζ173+ζ175−ζ197+ζ199+ζ223−ζ245−ζ269+ζ271−ζ293+ζ295 | ||||
| χ28 | 26 | -26 | 1 | 1 | -1 | -1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | 0 | 1 | −ζ5+ζ7−ζ29+ζ31−ζ53+ζ55−ζ77+ζ79−ζ101+ζ103−ζ125+ζ127−ζ149+ζ151−ζ173+ζ175−ζ197+ζ199+ζ223−ζ245−ζ269+ζ271−ζ293+ζ295 | ζ5−ζ7+ζ29−ζ31+ζ53−ζ55+ζ77−ζ79+ζ101−ζ103+ζ125−ζ127+ζ149−ζ151+ζ173−ζ175+ζ197−ζ199−ζ223+ζ245+ζ269−ζ271+ζ293−ζ295 | ζ23−ζ37+ζ47−ζ61+ζ71−ζ85+ζ95−ζ109+ζ119−ζ133−ζ157+ζ167−ζ181+ζ191−ζ205+ζ215−ζ229+ζ239−ζ253+ζ263−ζ277+ζ287−ζ301+ζ311 | −ζ23+ζ37−ζ47+ζ61−ζ71+ζ85−ζ95+ζ109−ζ119+ζ133+ζ157−ζ167+ζ181−ζ191+ζ205−ζ215+ζ229−ζ239+ζ253−ζ263+ζ277−ζ287+ζ301−ζ311 | ||||
| χ29 | 26 | -26 | 1 | 1 | -1 | -1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | 0 | 1 | ζ23−ζ37+ζ47−ζ61+ζ71−ζ85+ζ95−ζ109+ζ119−ζ133−ζ157+ζ167−ζ181+ζ191−ζ205+ζ215−ζ229+ζ239−ζ253+ζ263−ζ277+ζ287−ζ301+ζ311 | −ζ23+ζ37−ζ47+ζ61−ζ71+ζ85−ζ95+ζ109−ζ119+ζ133+ζ157−ζ167+ζ181−ζ191+ζ205−ζ215+ζ229−ζ239+ζ253−ζ263+ζ277−ζ287+ζ301−ζ311 | −ζ5+ζ7−ζ29+ζ31−ζ53+ζ55−ζ77+ζ79−ζ101+ζ103−ζ125+ζ127−ζ149+ζ151−ζ173+ζ175−ζ197+ζ199+ζ223−ζ245−ζ269+ζ271−ζ293+ζ295 | ζ5−ζ7+ζ29−ζ31+ζ53−ζ55+ζ77−ζ79+ζ101−ζ103+ζ125−ζ127+ζ149−ζ151+ζ173−ζ175+ζ197−ζ199−ζ223+ζ245+ζ269−ζ271+ζ293−ζ295 |
Here ζ is a primitive root of unity of order 312 (ζ312 = 1).