Magma V2.19-8 Tue Aug 20 2013 16:17:03 on localhost [Seed = 3052677479] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1304 geometric_solution 5.19127376 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 1023 3201 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 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.729507182510 0.093136847355 0 2 0 2 0132 0132 1023 1023 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 0 1 -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 0.559187113662 0.292332758236 3 1 4 1 0132 0132 0132 1023 0 0 0 0 0 0 0 0 -1 0 1 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 0 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.565142141041 2.390381165722 2 5 5 6 0132 0132 1023 0132 0 0 0 0 0 0 0 0 1 0 -1 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 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 0.267488693251 0.470903428487 6 5 5 2 0132 2310 3201 0132 0 0 0 0 0 0 0 0 1 0 0 -1 0 1 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 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.267488693251 0.470903428487 4 3 3 4 2310 0132 1023 3201 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 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 1.088003837735 1.605533730631 4 6 3 6 0132 1302 0132 2031 0 0 0 0 0 -1 0 1 -1 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.871227690578 1.044694989191 ==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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(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' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 39647340366391718328555414648/1508360942775049822785865*c_0101_5^13 - 43499350187032848117111575661/215480134682149974683695*c_0101_5^1\ 2 - 951220683929359913730822764476/1508360942775049822785865*c_0101\ _5^11 - 1351974662007852260431891466931/1508360942775049822785865*c\ _0101_5^10 + 589771474669125900483045723683/15083609427750498227858\ 65*c_0101_5^9 + 619059581647384204271143977567/13712372207045907479\ 8715*c_0101_5^8 + 2372399408400230821620501447187/21548013468214997\ 4683695*c_0101_5^7 + 25192043737216390168420373298273/1508360942775\ 049822785865*c_0101_5^6 + 27060569905837548528052558680046/15083609\ 42775049822785865*c_0101_5^5 + 21539348360911718661635141503202/150\ 8360942775049822785865*c_0101_5^4 + 1712145743452794112577320299638/215480134682149974683695*c_0101_5^3 + 4301699730709736605146752867698/1508360942775049822785865*c_0101_\ 5^2 + 612693428548240911028197903321/1508360942775049822785865*c_01\ 01_5 - 326630427395538661734116637609/1508360942775049822785865, c_0011_0 - 1, c_0011_4 - 40353828050573073/23460003775955359247*c_0101_5^13 + 234669151809965772/23460003775955359247*c_0101_5^12 + 2410396712745097125/23460003775955359247*c_0101_5^11 + 6561473964914575266/23460003775955359247*c_0101_5^10 + 6805952877132024415/23460003775955359247*c_0101_5^9 - 11297717868291341975/23460003775955359247*c_0101_5^8 - 49411273307799586095/23460003775955359247*c_0101_5^7 - 99566373070714750000/23460003775955359247*c_0101_5^6 - 124600621358523597440/23460003775955359247*c_0101_5^5 - 111735856556969948458/23460003775955359247*c_0101_5^4 - 81635855394528427991/23460003775955359247*c_0101_5^3 - 15006355891478915586/23460003775955359247*c_0101_5^2 - 6209967519655790583/23460003775955359247*c_0101_5 - 72569225673301973/23460003775955359247, c_0101_0 - 567205122342814092/23460003775955359247*c_0101_5^13 - 5695172494798249959/23460003775955359247*c_0101_5^12 - 23410491792062967068/23460003775955359247*c_0101_5^11 - 47483960600067651273/23460003775955359247*c_0101_5^10 - 24042676609706347324/23460003775955359247*c_0101_5^9 + 137265196970270848167/23460003775955359247*c_0101_5^8 + 462680401616596980691/23460003775955359247*c_0101_5^7 + 829330526547265953893/23460003775955359247*c_0101_5^6 + 1006552075005293941746/23460003775955359247*c_0101_5^5 + 859627036490980587912/23460003775955359247*c_0101_5^4 + 504068947440238182224/23460003775955359247*c_0101_5^3 + 139476443705903512443/23460003775955359247*c_0101_5^2 - 10447046925973305793/23460003775955359247*c_0101_5 - 22724966577169732447/23460003775955359247, c_0101_1 - 8111390004889021881/23460003775955359247*c_0101_5^13 - 60371555269221905964/23460003775955359247*c_0101_5^12 - 174768226152735307244/23460003775955359247*c_0101_5^11 - 198569886404327011092/23460003775955359247*c_0101_5^10 + 256244827849419425356/23460003775955359247*c_0101_5^9 + 1387407402657609464795/23460003775955359247*c_0101_5^8 + 2814655769091992315286/23460003775955359247*c_0101_5^7 + 3685993611349268647252/23460003775955359247*c_0101_5^6 + 3396031908297499814619/23460003775955359247*c_0101_5^5 + 2386661943422724169291/23460003775955359247*c_0101_5^4 + 1218928937883516036211/23460003775955359247*c_0101_5^3 + 457200579659369398024/23460003775955359247*c_0101_5^2 + 153624985213587665347/23460003775955359247*c_0101_5 - 16831003949438488000/23460003775955359247, c_0101_2 + 1306246062119435514/23460003775955359247*c_0101_5^13 + 10095260799016818420/23460003775955359247*c_0101_5^12 + 30735428735899916846/23460003775955359247*c_0101_5^11 + 39301295783877405334/23460003775955359247*c_0101_5^10 - 33152054215660495080/23460003775955359247*c_0101_5^9 - 237705674633420541454/23460003775955359247*c_0101_5^8 - 521528618361835509604/23460003775955359247*c_0101_5^7 - 723822195616951993738/23460003775955359247*c_0101_5^6 - 681277099727070036436/23460003775955359247*c_0101_5^5 - 448479292906077973542/23460003775955359247*c_0101_5^4 - 161870875211293579714/23460003775955359247*c_0101_5^3 + 26841566523249146742/23460003775955359247*c_0101_5^2 + 35185270689241093223/23460003775955359247*c_0101_5 + 23450457341653481062/23460003775955359247, c_0101_3 - 1445231530789838415/23460003775955359247*c_0101_5^13 - 13086500903332117917/23460003775955359247*c_0101_5^12 - 45692853758414687414/23460003775955359247*c_0101_5^11 - 65272881427894593317/23460003775955359247*c_0101_5^10 + 46329441809012640645/23460003775955359247*c_0101_5^9 + 382647143724980863289/23460003775955359247*c_0101_5^8 + 799563841855048076656/23460003775955359247*c_0101_5^7 + 985441264444210305730/23460003775955359247*c_0101_5^6 + 743833852851911222000/23460003775955359247*c_0101_5^5 + 287252551597074421954/23460003775955359247*c_0101_5^4 - 30888505184158142586/23460003775955359247*c_0101_5^3 - 117091633009817235495/23460003775955359247*c_0101_5^2 - 42876644599593272208/23460003775955359247*c_0101_5 + 2558661169028355712/23460003775955359247, c_0101_5^14 + 23/3*c_0101_5^13 + 215/9*c_0101_5^12 + 304/9*c_0101_5^11 - 46/3*c_0101_5^10 - 1544/9*c_0101_5^9 - 3749/9*c_0101_5^8 - 5668/9*c_0101_5^7 - 674*c_0101_5^6 - 4807/9*c_0101_5^5 - 295*c_0101_5^4 - 940/9*c_0101_5^3 - 14*c_0101_5^2 + 76/9*c_0101_5 - 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB