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[12, 10, 9, 7, 0, 8.585786437626905?, 11.414213562373095?] [12, 10, 9, 7, 0, 8.585786437626905?, 11.414213562373095?] x^7 - 58*x^6 + 1393*x^5 - 17730*x^4 + 126110*x^3 - 475188*x^2 + 740880*x x^7 - 58*x^6 + 1393*x^5 - 17730*x^4 + 126110*x^3 - 475188*x^2 + 740880*x [12, 10, 9, 7, 0, 8.585786437626905?, 11.414213562373095?] [12, 10, 9, 7, 0, 8.585786437626905?, 11.414213562373095?] x^7 - 58*x^6 + 1393*x^5 - 17730*x^4 + 126110*x^3 - 475188*x^2 + 740880*x x^7 - 58*x^6 + 1393*x^5 - 17730*x^4 + 126110*x^3 - 475188*x^2 + 740880*x |
[6, 4, 4, 3, 3, 3, 3] [5, 5, 4, 4, 3, 3, 2] [6, 4, 4, 3, 3, 3, 3] [5, 5, 4, 4, 3, 3, 2] |
[6, 8, 8, 9, 9, 9, 9] [7, 7, 8, 8, 9, 9, 10] [6, 8, 8, 9, 9, 9, 9] [7, 7, 8, 8, 9, 9, 10] |
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[0, 13.51071142818992?, 15.71083145355169?, 18.77845711825839?, 13.50478622306352?, 14.3727299204472?, 16.1088581941218?, 16.8817006711310?, 21.13192499123656?] [0, 13.51071142818992?, 15.71083145355169?, 18.77845711825839?, 13.50478622306352?, 14.3727299204472?, 16.1088581941218?, 16.8817006711310?, 21.13192499123656?] x^9 - 130*x^8 + 7369*x^7 - 237912*x^6 + 4785415*x^5 - 61411718*x^4 + 491069091*x^3 - 2237203064*x^2 + 4446151812*x x^9 - 130*x^8 + 7369*x^7 - 237912*x^6 + 4785415*x^5 - 61411718*x^4 + 491069091*x^3 - 2237203064*x^2 + 4446151812*x [0, 13.51071142818992?, 15.71083145355169?, 18.77845711825839?, 13.50478622306352?, 14.3727299204472?, 16.1088581941218?, 16.8817006711310?, 21.13192499123656?] [0, 13.51071142818992?, 15.71083145355169?, 18.77845711825839?, 13.50478622306352?, 14.3727299204472?, 16.1088581941218?, 16.8817006711310?, 21.13192499123656?] x^9 - 130*x^8 + 7369*x^7 - 237912*x^6 + 4785415*x^5 - 61411718*x^4 + 491069091*x^3 - 2237203064*x^2 + 4446151812*x x^9 - 130*x^8 + 7369*x^7 - 237912*x^6 + 4785415*x^5 - 61411718*x^4 + 491069091*x^3 - 2237203064*x^2 + 4446151812*x |
13 12 13 12 |
3 4 3 4 |
(9, 13, 17, 6, 0, 0, 0, 0, 0) (9, 12, 19, 5, 0, 0, 0, 0, 0) (9, 13, 17, 6, 0, 0, 0, 0, 0) (9, 12, 19, 5, 0, 0, 0, 0, 0) |
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[15, 0, 12.29843788128358?, 18.70156211871643?, 13.585786437626905?, 16.41421356237310?, 11.763932022500211?, 11.763932022500211?, 16.23606797749979?, 16.23606797749979?] [15, 0, 12.29843788128358?, 18.70156211871643?, 13.585786437626905?, 16.41421356237310?, 11.763932022500211?, 11.763932022500211?, 16.23606797749979?, 16.23606797749979?] x^10 - 132*x^9 + 7720*x^8 - 262558*x^7 + 5722578*x^6 - 82891102*x^5 + 797942816*x^4 - 4922528058*x^3 + 17658758885*x^2 - 28066657350*x x^10 - 132*x^9 + 7720*x^8 - 262558*x^7 + 5722578*x^6 - 82891102*x^5 + 797942816*x^4 - 4922528058*x^3 + 17658758885*x^2 - 28066657350*x [15, 0, 12.29843788128358?, 18.70156211871643?, 13.585786437626905?, 16.41421356237310?, 11.763932022500211?, 11.763932022500211?, 16.23606797749979?, 16.23606797749979?] [15, 0, 12.29843788128358?, 18.70156211871643?, 13.585786437626905?, 16.41421356237310?, 11.763932022500211?, 11.763932022500211?, 16.23606797749979?, 16.23606797749979?] x^10 - 132*x^9 + 7720*x^8 - 262558*x^7 + 5722578*x^6 - 82891102*x^5 + 797942816*x^4 - 4922528058*x^3 + 17658758885*x^2 - 28066657350*x x^10 - 132*x^9 + 7720*x^8 - 262558*x^7 + 5722578*x^6 - 82891102*x^5 + 797942816*x^4 - 4922528058*x^3 + 17658758885*x^2 - 28066657350*x |
3 2 3 2 |
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[15, 14, 13, 10, 8, 0, 12, 12] [15, 14, 13, 10, 8, 0, 12, 12] x^8 - 84*x^7 + 3007*x^6 - 59448*x^5 + 700756*x^4 - 4923264*x^3 + 19080000*x^2 - 31449600*x x^8 - 84*x^7 + 3007*x^6 - 59448*x^5 + 700756*x^4 - 4923264*x^3 + 19080000*x^2 - 31449600*x [15, 14, 13, 10, 8, 0, 12, 12] [15, 14, 13, 10, 8, 0, 12, 12] x^8 - 84*x^7 + 3007*x^6 - 59448*x^5 + 700756*x^4 - 4923264*x^3 + 19080000*x^2 - 31449600*x x^8 - 84*x^7 + 3007*x^6 - 59448*x^5 + 700756*x^4 - 4923264*x^3 + 19080000*x^2 - 31449600*x |
[7, 4, 4, 3, 3, 3, 3, 1] [7, 5, 3, 3, 3, 3, 2, 2] [7, 4, 4, 3, 3, 3, 3, 1] [7, 5, 3, 3, 3, 3, 2, 2] |
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[9, 7, 0, 12, 12, 10, 10] [9, 7, 0, 12, 12, 10, 10] x^7 - 60*x^6 + 1491*x^5 - 19636*x^4 + 144492*x^3 - 563040*x^2 + 907200*x x^7 - 60*x^6 + 1491*x^5 - 19636*x^4 + 144492*x^3 - 563040*x^2 + 907200*x [9, 7, 0, 12, 12, 10, 10] [9, 7, 0, 12, 12, 10, 10] x^7 - 60*x^6 + 1491*x^5 - 19636*x^4 + 144492*x^3 - 563040*x^2 + 907200*x x^7 - 60*x^6 + 1491*x^5 - 19636*x^4 + 144492*x^3 - 563040*x^2 + 907200*x |
[6, 3, 3, 3, 3, 3, 3] [5, 5, 3, 3, 3, 3, 2] [6, 3, 3, 3, 3, 3, 3] [5, 5, 3, 3, 3, 3, 2] |
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[14, 0, 12, 12, 10, 10, 8.87689437438234?, 17.12310562561766?] [14, 0, 12, 12, 10, 10, 8.87689437438234?, 17.12310562561766?] x^8 - 84*x^7 + 3000*x^6 - 59072*x^5 + 692816*x^4 - 4841152*x^3 + 18666240*x^2 - 30643200*x x^8 - 84*x^7 + 3000*x^6 - 59072*x^5 + 692816*x^4 - 4841152*x^3 + 18666240*x^2 - 30643200*x [14, 0, 12, 12, 10, 10, 8.87689437438234?, 17.12310562561766?] [14, 0, 12, 12, 10, 10, 8.87689437438234?, 17.12310562561766?] x^8 - 84*x^7 + 3000*x^6 - 59072*x^5 + 692816*x^4 - 4841152*x^3 + 18666240*x^2 - 30643200*x x^8 - 84*x^7 + 3000*x^6 - 59072*x^5 + 692816*x^4 - 4841152*x^3 + 18666240*x^2 - 30643200*x |
1 2 1 2 |
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[10, 0, 8.381966011250106? + 0.?e-60*I, 10.618033988749894? + 0.?e-60*I, 9.22713444217069?, 12.16424793846022?, 7.608617619369099? + 0.?e-54*I] [10, 0, 8.381966011250106? + 0.?e-60*I, 10.618033988749894? + 0.?e-60*I, 9.22713444217069?, 12.16424793846022?, 7.608617619369099? + 0.?e-54*I] x^7 - 58*x^6 + 1395*x^5 - 17810*x^4 + 127301*x^3 - 483016*x^2 + 760060*x x^7 - 58*x^6 + 1395*x^5 - 17810*x^4 + 127301*x^3 - 483016*x^2 + 760060*x [10, 0, 8.381966011250106? + 0.?e-60*I, 10.618033988749894? + 0.?e-60*I, 9.22713444217069?, 12.16424793846022?, 7.608617619369099? + 0.?e-54*I] [10, 0, 8.381966011250106? + 0.?e-60*I, 10.618033988749894? + 0.?e-60*I, 9.22713444217069?, 12.16424793846022?, 7.608617619369099? + 0.?e-54*I] x^7 - 58*x^6 + 1395*x^5 - 17810*x^4 + 127301*x^3 - 483016*x^2 + 760060*x x^7 - 58*x^6 + 1395*x^5 - 17810*x^4 + 127301*x^3 - 483016*x^2 + 760060*x |
Permutation Group with generators [(3,4), (1,2)(5,6)] Permutation Group with generators [()] Permutation Group with generators [(3,4), (1,2)(5,6)] Permutation Group with generators [()] |
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[17, 15, 0, 13, 13, 9.60329164865426?, 11.74894479053886?, 18.64776356080690?] [17, 15, 0, 13, 13, 9.60329164865426?, 11.74894479053886?, 18.64776356080690?] x^8 - 98*x^7 + 4087*x^6 - 94020*x^5 + 1288463*x^4 - 10517842*x^3 + 47349497*x^2 - 90671880*x x^8 - 98*x^7 + 4087*x^6 - 94020*x^5 + 1288463*x^4 - 10517842*x^3 + 47349497*x^2 - 90671880*x [17, 15, 0, 13, 13, 9.60329164865426?, 11.74894479053886?, 18.64776356080690?] [17, 15, 0, 13, 13, 9.60329164865426?, 11.74894479053886?, 18.64776356080690?] x^8 - 98*x^7 + 4087*x^6 - 94020*x^5 + 1288463*x^4 - 10517842*x^3 + 47349497*x^2 - 90671880*x x^8 - 98*x^7 + 4087*x^6 - 94020*x^5 + 1288463*x^4 - 10517842*x^3 + 47349497*x^2 - 90671880*x |
True False True False |
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0 0 |
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[0, 40.80741759643275? + 0.?e-76*I, 40.80741759643275? + 0.?e-76*I, 40.80741759643275? + 0.?e-76*I, 40.80741759643275? + 0.?e-76*I, 40.80741759643275? + 0.?e-76*I, 40.80741759643275? + 0.?e-76*I, 40.80741759643275? + 0.?e-76*I, 40.80741759643275? + 0.?e-76*I, 40.80741759643275? + 0.?e-76*I, 40.80741759643275? + 0.?e-76*I, 40.80741759643275? + 0.?e-76*I, 40.80741759643275? + 0.?e-76*I, 40.80741759643275? + 0.?e-76*I, 40.80741759643275? + 0.?e-76*I, 46.19258240356726? + 0.?e-76*I, 46.19258240356726? + 0.?e-76*I, 46.19258240356726? + 0.?e-76*I, 46.19258240356726? + 0.?e-76*I, 46.19258240356726? + 0.?e-76*I, 46.19258240356726? + 0.?e-76*I, 46.19258240356726? + 0.?e-76*I, 46.19258240356726? + 0.?e-76*I, 46.19258240356726? + 0.?e-76*I, 46.19258240356726? + 0.?e-76*I, 46.19258240356726? + 0.?e-76*I, 46.19258240356726? + 0.?e-76*I, 46.19258240356726? + 0.?e-76*I, 46.19258240356726? + 0.?e-76*I] [0, 40.80741759643275? + 0.?e-76*I, 40.80741759643275? + 0.?e-76*I, 40.80741759643275? + 0.?e-76*I, 40.80741759643275? + 0.?e-76*I, 40.80741759643275? + 0.?e-76*I, 40.80741759643275? + 0.?e-76*I, 40.80741759643275? + 0.?e-76*I, 40.80741759643275? + 0.?e-76*I, 40.80741759643275? + 0.?e-76*I, 40.80741759643275? + 0.?e-76*I, 40.80741759643275? + 0.?e-76*I, 40.80741759643275? + 0.?e-76*I, 40.80741759643275? + 0.?e-76*I, 40.80741759643275? + 0.?e-76*I, 46.19258240356726? + 0.?e-76*I, 46.19258240356726? + 0.?e-76*I, 46.19258240356726? + 0.?e-76*I, 46.19258240356726? + 0.?e-76*I, 46.19258240356726? + 0.?e-76*I, 46.19258240356726? + 0.?e-76*I, 46.19258240356726? + 0.?e-76*I, 46.19258240356726? + 0.?e-76*I, 46.19258240356726? + 0.?e-76*I, 46.19258240356726? + 0.?e-76*I, 46.19258240356726? + 0.?e-76*I, 46.19258240356726? + 0.?e-76*I, 46.19258240356726? + 0.?e-76*I, 46.19258240356726? + 0.?e-76*I] |
1/2*sqrt(29) + 87/2 46.1925824035673 14 -1/2*sqrt(29) + 87/2 40.8074175964327 14 1/2*sqrt(29) + 87/2 46.1925824035673 14 -1/2*sqrt(29) + 87/2 40.8074175964327 14 |
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