Magma V2.19-8 Tue Aug 20 2013 16:16:06 on localhost [Seed = 4290667314] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0364 geometric_solution 4.40833566 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 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 -1 0 1 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.635260568445 0.624703175161 3 2 2 0 0132 3012 1230 0132 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 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 1.199732264736 0.786968088422 1 3 0 1 1230 3201 0132 3012 0 0 0 0 0 -1 0 1 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 -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 1.199732264736 0.786968088422 1 4 2 4 0132 0132 2310 1023 0 0 0 0 0 0 -1 1 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 -1 1 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 1.195789028769 0.508828733748 5 3 5 3 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 1 -1 -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 1 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.865339348008 0.230546395469 4 6 4 6 0132 0132 1023 1023 0 0 0 0 0 0 -1 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 -1 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 0.871897870914 0.100853563188 6 5 6 5 2310 0132 3201 1023 0 0 0 0 0 0 0 0 0 0 1 -1 -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 1 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.887979795207 0.064443777846 ==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_1']), 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_1, c_0101_1, c_0101_2, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 786821068733941859/64057368342637139*c_0101_6^16 - 4062492977857994406/64057368342637139*c_0101_6^15 + 11908351435136248166/64057368342637139*c_0101_6^14 - 28944314358709591254/64057368342637139*c_0101_6^13 - 125504115191394468819/64057368342637139*c_0101_6^12 - 111800838372358467482/64057368342637139*c_0101_6^11 - 135141587589945996539/64057368342637139*c_0101_6^10 - 84908408841479598786/64057368342637139*c_0101_6^9 + 35946293012509711189/64057368342637139*c_0101_6^8 + 2072160290750082407/64057368342637139*c_0101_6^7 + 21705630857531722972/64057368342637139*c_0101_6^6 + 29728302955139230872/64057368342637139*c_0101_6^5 - 1515534822178647796/64057368342637139*c_0101_6^4 + 6897460112996726621/64057368342637139*c_0101_6^3 + 83208761202419990/64057368342637139*c_0101_6^2 - 79385511671955243/64057368342637139*c_0101_6 - 695742013043339733/64057368342637139, c_0011_0 - 1, c_0011_1 - 42280609121058043/64057368342637139*c_0101_6^16 + 219301789388682973/64057368342637139*c_0101_6^15 - 636483228416448228/64057368342637139*c_0101_6^14 + 1534172150620963863/64057368342637139*c_0101_6^13 + 6796879507046818919/64057368342637139*c_0101_6^12 + 5646588445844097868/64057368342637139*c_0101_6^11 + 5479969958052756280/64057368342637139*c_0101_6^10 + 1830891691018496932/64057368342637139*c_0101_6^9 - 4765343545979349100/64057368342637139*c_0101_6^8 - 2174111087557440129/64057368342637139*c_0101_6^7 - 1415266845756340047/64057368342637139*c_0101_6^6 - 1061939831199217484/64057368342637139*c_0101_6^5 + 540332912520211387/64057368342637139*c_0101_6^4 - 4608862100412041/64057368342637139*c_0101_6^3 + 96306817492337270/64057368342637139*c_0101_6^2 + 85591321523427323/64057368342637139*c_0101_6 + 32470466697034352/64057368342637139, c_0101_1 + 10688909703981930/64057368342637139*c_0101_6^16 - 59007697748522805/64057368342637139*c_0101_6^15 + 180412285726973156/64057368342637139*c_0101_6^14 - 438202681093264810/64057368342637139*c_0101_6^13 - 1617653089560176232/64057368342637139*c_0101_6^12 - 765856341724775676/64057368342637139*c_0101_6^11 - 1365829827363547248/64057368342637139*c_0101_6^10 - 1552992588196694197/64057368342637139*c_0101_6^9 + 74445621563753864/64057368342637139*c_0101_6^8 - 868695188247819418/64057368342637139*c_0101_6^7 - 48957551177994533/64057368342637139*c_0101_6^6 + 1181056522989936804/64057368342637139*c_0101_6^5 + 189510934165413370/64057368342637139*c_0101_6^4 + 168352871450745983/64057368342637139*c_0101_6^3 + 118067666268554237/64057368342637139*c_0101_6^2 - 37863920125275124/64057368342637139*c_0101_6 + 8891582312121383/64057368342637139, c_0101_2 - 1943641446790746/64057368342637139*c_0101_6^16 + 22856234111318807/64057368342637139*c_0101_6^15 - 102890557680631746/64057368342637139*c_0101_6^14 + 295075207194161110/64057368342637139*c_0101_6^13 - 228427173043016564/64057368342637139*c_0101_6^12 - 1630878653298406648/64057368342637139*c_0101_6^11 - 11397728785715043/64057368342637139*c_0101_6^10 + 282110442779508058/64057368342637139*c_0101_6^9 + 568622967539220393/64057368342637139*c_0101_6^8 + 2323134761311326707/64057368342637139*c_0101_6^7 + 116656317488347859/64057368342637139*c_0101_6^6 - 464843538489660526/64057368342637139*c_0101_6^5 + 218323504977165871/64057368342637139*c_0101_6^4 - 540333842304924574/64057368342637139*c_0101_6^3 - 154161817669240094/64057368342637139*c_0101_6^2 - 5330694438061565/64057368342637139*c_0101_6 - 19869195848159609/64057368342637139, c_0101_4 + 9687918224956489/64057368342637139*c_0101_6^16 - 55368897367261220/64057368342637139*c_0101_6^15 + 175551538728016480/64057368342637139*c_0101_6^14 - 442995030765332918/64057368342637139*c_0101_6^13 - 1332288785188287216/64057368342637139*c_0101_6^12 - 568307819963481232/64057368342637139*c_0101_6^11 - 1109379892219577453/64057368342637139*c_0101_6^10 - 605237898243924316/64057368342637139*c_0101_6^9 + 383765242843473004/64057368342637139*c_0101_6^8 - 477564209202369544/64057368342637139*c_0101_6^7 + 147435718400858306/64057368342637139*c_0101_6^6 + 357469641291702417/64057368342637139*c_0101_6^5 + 90930869621062719/64057368342637139*c_0101_6^4 + 81063121336528530/64057368342637139*c_0101_6^3 + 52837326679574674/64057368342637139*c_0101_6^2 + 117901084223699444/64057368342637139*c_0101_6 - 13310005546509290/64057368342637139, c_0101_5 + 14857233097725106/64057368342637139*c_0101_6^16 - 83195941952863882/64057368342637139*c_0101_6^15 + 258301663675346307/64057368342637139*c_0101_6^14 - 637266570570642517/64057368342637139*c_0101_6^13 - 2167033117536279019/64057368342637139*c_0101_6^12 - 980075979645347342/64057368342637139*c_0101_6^11 - 1841155972641350412/64057368342637139*c_0101_6^10 - 1748234224029105049/64057368342637139*c_0101_6^9 + 113893589782986707/64057368342637139*c_0101_6^8 - 1176457184960490469/64057368342637139*c_0101_6^7 - 54549687398482065/64057368342637139*c_0101_6^6 + 1070130257949537876/64057368342637139*c_0101_6^5 + 266707744391635462/64057368342637139*c_0101_6^4 + 224466226132217719/64057368342637139*c_0101_6^3 + 156865695955300475/64057368342637139*c_0101_6^2 + 56711941576855301/64057368342637139*c_0101_6 - 19095708753697481/64057368342637139, c_0101_6^17 - 5*c_0101_6^16 + 14*c_0101_6^15 - 33*c_0101_6^14 - 169*c_0101_6^13 - 160*c_0101_6^12 - 142*c_0101_6^11 - 62*c_0101_6^10 + 116*c_0101_6^9 + 87*c_0101_6^8 + 49*c_0101_6^7 + 44*c_0101_6^6 - 4*c_0101_6^5 - 8*c_0101_6^4 - 6*c_0101_6^3 - 5*c_0101_6^2 - 3*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB