Magma V2.19-8 Tue Aug 20 2013 23:46:54 on localhost [Seed = 2732902541] Type ? for help. Type -D to quit. Loading file "K14n4741__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n4741 geometric_solution 11.18027630 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 1023 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 0 -1 1 -1 0 0 1 13 0 0 -13 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.483828882479 1.258224876551 0 4 5 0 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 -1 1 0 0 -1 1 -14 0 13 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.483828882479 1.258224876551 6 0 4 5 0132 0132 0321 1230 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 0 0 0 0 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442439251031 0.960556245390 4 7 8 0 3012 0132 0132 0132 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 -1 0 1 0 0 0 0 0 1 0 -1 -13 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.095360978871 0.678327385522 6 1 2 3 2310 0132 0321 1230 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 0 0 0 0 0 0 0 0 -13 0 13 0 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442439251031 0.960556245390 2 7 8 1 3012 1023 1023 0132 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 0 -1 0 0 0 0 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.095360978871 0.678327385522 2 6 4 6 0132 1302 3201 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.465129032924 0.286847622337 5 3 9 10 1023 0132 0132 0132 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 1 0 -1 -1 0 0 1 14 0 0 -14 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.620234309222 0.995343177415 11 9 5 3 0132 0132 1023 0132 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 13 0 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.620234309222 0.995343177415 11 8 10 7 3120 0132 0213 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 0 0 1 0 0 -1 -1 -13 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.872531047387 0.572239128493 11 9 7 11 2103 0213 0132 2031 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 1 -1 0 0 -1 1 0 0 0 0 0 -14 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.402616806864 0.478954827545 8 10 10 9 0132 1302 2103 3120 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.402616806864 0.478954827545 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_10'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_0101_5'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], '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_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1100_0']), 'c_1100_4' : d['c_0101_0'], 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : negation(d['c_0011_0']), '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' : d['c_0101_1'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_0101_5'], 'c_1010_8' : d['c_1001_10'], 'c_1100_8' : d['c_1100_0'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_0'], '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_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0011_10'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_7'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_7'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_5, c_0101_7, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 15057124051416350335706/378053168940957825*c_1100_0^17 + 968712827968827411019/3600506370866265*c_1100_0^16 - 2679513963083049030326/5040708919212771*c_1100_0^15 - 37140413069973373087087/54007595562993975*c_1100_0^14 + 560999797267366978494371/126017722980319275*c_1100_0^13 - 1741277650280716374582052/378053168940957825*c_1100_0^12 - 690527449069000989977441/75610633788191565*c_1100_0^11 + 2029343396337210799768334/75610633788191565*c_1100_0^10 - 5662632123846601722830881/378053168940957825*c_1100_0^9 - 11489190476646844556638448/378053168940957825*c_1100_0^8 + 621324409353184660347781/10801519112598795*c_1100_0^7 - 1618721484201075165174113/54007595562993975*c_1100_0^6 - 8434616483976251588458948/378053168940957825*c_1100_0^5 + 19949273281055475531535171/378053168940957825*c_1100_0^4 - 733430844123553095622232/15122126757638313*c_1100_0^3 + 9786706742056768720938388/378053168940957825*c_1100_0^2 - 1033556370595958664289553/126017722980319275*c_1100_0 + 430657287455576971712141/378053168940957825, c_0011_0 - 1, c_0011_10 - 10123385246684/34290536865393*c_1100_0^17 + 22224527222388/11430178955131*c_1100_0^16 - 41274968890604/11430178955131*c_1100_0^15 - 196406762884360/34290536865393*c_1100_0^14 + 366985805268866/11430178955131*c_1100_0^13 - 984492868443118/34290536865393*c_1100_0^12 - 2506418069109556/34290536865393*c_1100_0^11 + 6425656276242754/34290536865393*c_1100_0^10 - 2680931182324594/34290536865393*c_1100_0^9 - 8310422664586214/34290536865393*c_1100_0^8 + 13260221893756532/34290536865393*c_1100_0^7 - 5178164643518624/34290536865393*c_1100_0^6 - 6786554076581803/34290536865393*c_1100_0^5 + 12276298873443526/34290536865393*c_1100_0^4 - 10066721525893553/34290536865393*c_1100_0^3 + 4656880536721696/34290536865393*c_1100_0^2 - 395628026534583/11430178955131*c_1100_0 + 116532813143822/34290536865393, c_0011_11 + 14244381862580/34290536865393*c_1100_0^17 - 32191810819383/11430178955131*c_1100_0^16 + 63980692126606/11430178955131*c_1100_0^15 + 244517641722706/34290536865393*c_1100_0^14 - 8760632043960/187379982871*c_1100_0^13 + 1674402334842538/34290536865393*c_1100_0^12 + 3276544298928028/34290536865393*c_1100_0^11 - 9710100670093924/34290536865393*c_1100_0^10 + 5459043968715928/34290536865393*c_1100_0^9 + 11009918058676022/34290536865393*c_1100_0^8 - 20891605279646804/34290536865393*c_1100_0^7 + 10808946842459252/34290536865393*c_1100_0^6 + 8248939501817500/34290536865393*c_1100_0^5 - 19187144581283104/34290536865393*c_1100_0^4 + 17457023014601144/34290536865393*c_1100_0^3 - 9177869876298778/34290536865393*c_1100_0^2 + 921198726093398/11430178955131*c_1100_0 - 335451741626714/34290536865393, c_0011_3 - c_1100_0, c_0101_0 - 26994975986056/34290536865393*c_1100_0^17 + 59168327408062/11430178955131*c_1100_0^16 - 109776389543212/11430178955131*c_1100_0^15 - 519121350417884/34290536865393*c_1100_0^14 + 971128535352820/11430178955131*c_1100_0^13 - 2618716027562120/34290536865393*c_1100_0^12 - 6561733660246646/34290536865393*c_1100_0^11 + 16939425340483820/34290536865393*c_1100_0^10 - 7346283020360225/34290536865393*c_1100_0^9 - 21381186103707004/34290536865393*c_1100_0^8 + 34962229105646569/34290536865393*c_1100_0^7 - 14742154471776694/34290536865393*c_1100_0^6 - 16666856035850819/34290536865393*c_1100_0^5 + 32310954586469846/34290536865393*c_1100_0^4 - 27645029328444352/34290536865393*c_1100_0^3 + 13671586183367630/34290536865393*c_1100_0^2 - 1324042096055289/11430178955131*c_1100_0 + 471247499656684/34290536865393, c_0101_1 + 26994975986056/34290536865393*c_1100_0^17 - 59168327408062/11430178955131*c_1100_0^16 + 109776389543212/11430178955131*c_1100_0^15 + 519121350417884/34290536865393*c_1100_0^14 - 971128535352820/11430178955131*c_1100_0^13 + 2618716027562120/34290536865393*c_1100_0^12 + 6561733660246646/34290536865393*c_1100_0^11 - 16939425340483820/34290536865393*c_1100_0^10 + 7346283020360225/34290536865393*c_1100_0^9 + 21381186103707004/34290536865393*c_1100_0^8 - 34962229105646569/34290536865393*c_1100_0^7 + 14742154471776694/34290536865393*c_1100_0^6 + 16666856035850819/34290536865393*c_1100_0^5 - 32310954586469846/34290536865393*c_1100_0^4 + 27645029328444352/34290536865393*c_1100_0^3 - 13671586183367630/34290536865393*c_1100_0^2 + 1324042096055289/11430178955131*c_1100_0 - 471247499656684/34290536865393, c_0101_10 - 14377999932056/34290536865393*c_1100_0^17 + 31046480592120/11430178955131*c_1100_0^16 - 55724637149528/11430178955131*c_1100_0^15 - 288410143693888/34290536865393*c_1100_0^14 + 506387146151884/11430178955131*c_1100_0^13 - 1267297561592452/34290536865393*c_1100_0^12 - 3559077585449560/34290536865393*c_1100_0^11 + 8668365341293147/34290536865393*c_1100_0^10 - 3253075449845644/34290536865393*c_1100_0^9 - 11438652366688322/34290536865393*c_1100_0^8 + 17555893740021716/34290536865393*c_1100_0^7 - 6634795404953519/34290536865393*c_1100_0^6 - 9044852725939570/34290536865393*c_1100_0^5 + 16343350521334918/34290536865393*c_1100_0^4 - 13569852521108390/34290536865393*c_1100_0^3 + 6424812612007039/34290536865393*c_1100_0^2 - 593711029709298/11430178955131*c_1100_0 + 189189668407616/34290536865393, c_0101_2 + 17300304321611/34290536865393*c_1100_0^17 - 39153130301127/11430178955131*c_1100_0^16 + 78197402092586/11430178955131*c_1100_0^15 + 292816950619819/34290536865393*c_1100_0^14 - 649291463405669/11430178955131*c_1100_0^13 + 2062047355827193/34290536865393*c_1100_0^12 + 3931055459402086/34290536865393*c_1100_0^11 - 11830982276075314/34290536865393*c_1100_0^10 + 6843993632254129/34290536865393*c_1100_0^9 + 13184636787256685/34290536865393*c_1100_0^8 - 25581335322191822/34290536865393*c_1100_0^7 + 13653571001058446/34290536865393*c_1100_0^6 + 9742948607600410/34290536865393*c_1100_0^5 - 23529964899310906/34290536865393*c_1100_0^4 + 21620455250401676/34290536865393*c_1100_0^3 - 11497378117926280/34290536865393*c_1100_0^2 + 1200390772914341/11430178955131*c_1100_0 - 465345233308112/34290536865393, c_0101_5 + 14377999932056/34290536865393*c_1100_0^17 - 31046480592120/11430178955131*c_1100_0^16 + 55724637149528/11430178955131*c_1100_0^15 + 288410143693888/34290536865393*c_1100_0^14 - 506387146151884/11430178955131*c_1100_0^13 + 1267297561592452/34290536865393*c_1100_0^12 + 3559077585449560/34290536865393*c_1100_0^11 - 8668365341293147/34290536865393*c_1100_0^10 + 3253075449845644/34290536865393*c_1100_0^9 + 11438652366688322/34290536865393*c_1100_0^8 - 17555893740021716/34290536865393*c_1100_0^7 + 6634795404953519/34290536865393*c_1100_0^6 + 9044852725939570/34290536865393*c_1100_0^5 - 16343350521334918/34290536865393*c_1100_0^4 + 13569852521108390/34290536865393*c_1100_0^3 - 6424812612007039/34290536865393*c_1100_0^2 + 593711029709298/11430178955131*c_1100_0 - 189189668407616/34290536865393, c_0101_7 - 847322532088/1490892907191*c_1100_0^17 + 1869694125970/496964302397*c_1100_0^16 - 3510304695428/496964302397*c_1100_0^15 - 16105860728480/1490892907191*c_1100_0^14 + 30791727208216/496964302397*c_1100_0^13 - 84765931671992/1490892907191*c_1100_0^12 - 205833002223431/1490892907191*c_1100_0^11 + 539739253351616/1490892907191*c_1100_0^10 - 241533417742673/1490892907191*c_1100_0^9 - 673328780632408/1490892907191*c_1100_0^8 + 1117172025467224/1490892907191*c_1100_0^7 - 482757813925660/1490892907191*c_1100_0^6 - 521285680718255/1490892907191*c_1100_0^5 + 1030866574449908/1490892907191*c_1100_0^4 - 888673826298361/1490892907191*c_1100_0^3 + 443684752056308/1490892907191*c_1100_0^2 - 43847158868711/496964302397*c_1100_0 + 16113108701404/1490892907191, c_1001_10 + 847322532088/1490892907191*c_1100_0^17 - 1869694125970/496964302397*c_1100_0^16 + 3510304695428/496964302397*c_1100_0^15 + 16105860728480/1490892907191*c_1100_0^14 - 30791727208216/496964302397*c_1100_0^13 + 84765931671992/1490892907191*c_1100_0^12 + 205833002223431/1490892907191*c_1100_0^11 - 539739253351616/1490892907191*c_1100_0^10 + 241533417742673/1490892907191*c_1100_0^9 + 673328780632408/1490892907191*c_1100_0^8 - 1117172025467224/1490892907191*c_1100_0^7 + 482757813925660/1490892907191*c_1100_0^6 + 521285680718255/1490892907191*c_1100_0^5 - 1030866574449908/1490892907191*c_1100_0^4 + 888673826298361/1490892907191*c_1100_0^3 - 443684752056308/1490892907191*c_1100_0^2 + 43847158868711/496964302397*c_1100_0 - 16113108701404/1490892907191, c_1100_0^18 - 7*c_1100_0^17 + 15*c_1100_0^16 + 14*c_1100_0^15 - 116*c_1100_0^14 + 143*c_1100_0^13 + 201*c_1100_0^12 - 730*c_1100_0^11 + 541*c_1100_0^10 + 671*c_1100_0^9 - 1631*c_1100_0^8 + 1106*c_1100_0^7 + 376*c_1100_0^6 - 1462*c_1100_0^5 + 1542*c_1100_0^4 - 948*c_1100_0^3 + 365*c_1100_0^2 - 79*c_1100_0 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.840 Total time: 1.040 seconds, Total memory usage: 32.09MB