Magma V2.19-8 Tue Aug 20 2013 16:18:58 on localhost [Seed = 4223297175] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3116 geometric_solution 6.27227307 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 1023 0 0 0 0 0 1 -1 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.191584800348 1.226335759358 0 4 5 0 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.449841245393 0.837448784130 4 0 6 3 0132 0132 0132 3201 0 0 0 0 0 -1 0 1 0 0 0 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.215072663004 0.673261294160 6 2 5 0 1023 2310 1023 0132 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.215072663004 0.673261294160 2 1 5 5 0132 0132 2103 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.034474228125 1.198627716325 4 4 3 1 2103 2310 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.034474228125 1.198627716325 6 3 6 2 2031 1023 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722100271257 1.725453283122 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_1100_0']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_4']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : d['c_0011_5'], 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_2, c_0101_4, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 28980788373490888126/252207590241226945*c_0101_4^17 + 500682093523963227417/252207590241226945*c_0101_4^16 + 577369410717857187406/50441518048245389*c_0101_4^15 + 7127621207543468976706/252207590241226945*c_0101_4^14 + 196307846613906598053/3880116772941953*c_0101_4^13 + 17581650763267126285687/252207590241226945*c_0101_4^12 + 19557880198092042371173/252207590241226945*c_0101_4^11 + 17541561172316944100641/252207590241226945*c_0101_4^10 + 3950669178249677367253/50441518048245389*c_0101_4^9 + 3295014447707024431602/50441518048245389*c_0101_4^8 + 12258596343887432942971/252207590241226945*c_0101_4^7 + 2134191161048658807961/50441518048245389*c_0101_4^6 - 885126555016129508931/252207590241226945*c_0101_4^5 - 4224640726771016866144/252207590241226945*c_0101_4^4 + 1014162115419127758022/252207590241226945*c_0101_4^3 + 648267732303498443233/252207590241226945*c_0101_4^2 - 289751742278244410029/252207590241226945*c_0101_4 + 37384851027684833221/252207590241226945, c_0011_0 - 1, c_0011_3 + 404286970310381100/3880116772941953*c_0101_4^17 + 6948638927909245378/3880116772941953*c_0101_4^16 + 39626815041547896579/3880116772941953*c_0101_4^15 + 95434423678394939202/3880116772941953*c_0101_4^14 + 166741895967863361506/3880116772941953*c_0101_4^13 + 223297922183147404151/3880116772941953*c_0101_4^12 + 239663231960522723316/3880116772941953*c_0101_4^11 + 204306614391222707462/3880116772941953*c_0101_4^10 + 235144341890246309332/3880116772941953*c_0101_4^9 + 187818772373995442119/3880116772941953*c_0101_4^8 + 131275750276183282573/3880116772941953*c_0101_4^7 + 117249914446919873231/3880116772941953*c_0101_4^6 - 38770263373379802161/3880116772941953*c_0101_4^5 - 68656560036145656226/3880116772941953*c_0101_4^4 + 18282283001156464727/3880116772941953*c_0101_4^3 + 10475484466145454348/3880116772941953*c_0101_4^2 - 4840644493228413050/3880116772941953*c_0101_4 + 533111114512149148/3880116772941953, c_0011_5 - 169245923853275204/3880116772941953*c_0101_4^17 - 2904829848830900774/3880116772941953*c_0101_4^16 - 16518925609242013879/3880116772941953*c_0101_4^15 - 39550815369276019562/3880116772941953*c_0101_4^14 - 68823549395806430020/3880116772941953*c_0101_4^13 - 91724211984991922656/3880116772941953*c_0101_4^12 - 97932613893583769404/3880116772941953*c_0101_4^11 - 82877059028565287646/3880116772941953*c_0101_4^10 - 96099532016394434881/3880116772941953*c_0101_4^9 - 75983594676652666675/3880116772941953*c_0101_4^8 - 52842074391787870456/3880116772941953*c_0101_4^7 - 47457742899304843189/3880116772941953*c_0101_4^6 + 17553906303715849541/3880116772941953*c_0101_4^5 + 28520437117729814846/3880116772941953*c_0101_4^4 - 8264466628947237725/3880116772941953*c_0101_4^3 - 4340902109283559463/3880116772941953*c_0101_4^2 + 2115709817141083443/3880116772941953*c_0101_4 - 240974380943240648/3880116772941953, c_0101_0 + 302996280467996964/3880116772941953*c_0101_4^17 + 5222439745405901620/3880116772941953*c_0101_4^16 + 29956826568066109099/3880116772941953*c_0101_4^15 + 73056416500968049571/3880116772941953*c_0101_4^14 + 128964621836321948966/3880116772941953*c_0101_4^13 + 174762955382267430946/3880116772941953*c_0101_4^12 + 190210578277382265446/3880116772941953*c_0101_4^11 + 165331455652877712742/3880116772941953*c_0101_4^10 + 187658133921984157210/3880116772941953*c_0101_4^9 + 153022146410860691271/3880116772941953*c_0101_4^8 + 109251851065806699186/3880116772941953*c_0101_4^7 + 96133392116349133330/3880116772941953*c_0101_4^6 - 22116877541996472846/3880116772941953*c_0101_4^5 - 50626135386519802542/3880116772941953*c_0101_4^4 + 11342504073023022010/3880116772941953*c_0101_4^3 + 7765332710571959537/3880116772941953*c_0101_4^2 - 3242447286526053550/3880116772941953*c_0101_4 + 330117531856112200/3880116772941953, c_0101_2 + 230114834044152184/3880116772941953*c_0101_4^17 + 3969273345502401944/3880116772941953*c_0101_4^16 + 22802979329385350099/3880116772941953*c_0101_4^15 + 55779880643323184618/3880116772941953*c_0101_4^14 + 98666289879645495520/3880116772941953*c_0101_4^13 + 134030262794706247564/3880116772941953*c_0101_4^12 + 146258169777226935803/3880116772941953*c_0101_4^11 + 127583315784236562794/3880116772941953*c_0101_4^10 + 144345032886015178216/3880116772941953*c_0101_4^9 + 118289070485434689997/3880116772941953*c_0101_4^8 + 84636934550896648663/3880116772941953*c_0101_4^7 + 74331748421344001865/3880116772941953*c_0101_4^6 - 15699480842613177333/3880116772941953*c_0101_4^5 - 38550268723016190817/3880116772941953*c_0101_4^4 + 8267833428004912600/3880116772941953*c_0101_4^3 + 5939051159000524616/3880116772941953*c_0101_4^2 - 2435037149010058466/3880116772941953*c_0101_4 + 245638045275107666/3880116772941953, c_0101_4^18 + 18*c_0101_4^17 + 112*c_0101_4^16 + 316*c_0101_4^15 + 606*c_0101_4^14 + 892*c_0101_4^13 + 1050*c_0101_4^12 + 999*c_0101_4^11 + 1006*c_0101_4^10 + 950*c_0101_4^9 + 716*c_0101_4^8 + 566*c_0101_4^7 + 149*c_0101_4^6 - 240*c_0101_4^5 - 92*c_0101_4^4 + 60*c_0101_4^3 + 9*c_0101_4^2 - 8*c_0101_4 + 1, c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB