Magma V2.19-8 Wed Aug 21 2013 00:57:58 on localhost [Seed = 1443908854] Type ? for help. Type -D to quit. Loading file "L13n4640__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4640 geometric_solution 11.31136895 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 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 -1 0 1 0 0 0 0 -3 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.481243774683 0.872212952322 0 5 7 6 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 1 -1 0 1 0 -1 -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 8 -8 0 7 0 -7 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.137626442418 0.753616695322 5 0 4 8 0132 0132 2103 0132 1 1 1 0 0 0 0 0 -1 0 0 1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -7 0 0 7 -7 0 0 7 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.021718384998 1.206102702205 9 10 8 0 0132 0132 3201 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.041723478167 0.816662223266 2 10 0 8 2103 3201 0132 3201 1 1 1 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 8 -1 -7 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 0.219580456562 2.112956831278 2 1 11 7 0132 0132 0132 3120 1 1 0 1 0 0 0 0 1 0 0 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 7 0 1 -8 -2 0 0 2 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.014925130849 0.828848031295 9 8 1 11 1230 0321 0132 0321 1 1 1 1 0 0 0 0 -1 0 1 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 1 -1 0 -8 0 8 0 0 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.591353905808 1.192623886582 5 12 11 1 3120 0132 0321 0132 1 1 0 1 0 0 0 0 1 0 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 8 0 0 -8 -2 -1 0 3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338694748001 0.515531534826 3 4 2 6 2310 2310 0132 0321 1 1 1 1 0 0 0 0 0 0 -1 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 0 0 1 -1 0 0 -7 7 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.197930791698 0.542923222450 3 6 9 9 0132 3012 1230 3012 1 1 1 1 0 0 1 -1 0 0 1 -1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 -8 0 0 8 -8 0 8 0 -8 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.109507674605 0.888997892497 12 3 4 12 0321 0132 2310 1302 1 0 1 1 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 1 0 -1 0 0 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.290037517000 0.983745465351 12 6 7 5 3012 0321 0321 0132 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 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 0.271212571550 0.475463419652 10 7 10 11 0321 0132 2031 1230 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 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 0.482376397598 0.668395309742 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_10'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : negation(d['c_0110_4']), 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : negation(d['c_0110_4']), 'c_1001_1' : d['c_0011_12'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0011_4'], 'c_1001_9' : negation(d['c_0011_6']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : negation(d['c_0110_4']), 'c_1010_10' : negation(d['c_0101_5']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_4']), '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_12' : 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_6'], 'c_1100_8' : negation(d['c_0110_4']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_11'], 'c_1100_4' : negation(d['c_0011_8']), 'c_1100_7' : d['c_1001_11'], 'c_1100_6' : d['c_1001_11'], 'c_1100_1' : d['c_1001_11'], 'c_1100_0' : negation(d['c_0011_8']), 'c_1100_3' : negation(d['c_0011_8']), 'c_1100_2' : negation(d['c_0110_4']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_11'], 'c_1100_10' : d['c_0011_4'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : negation(d['c_0110_4']), 'c_1010_5' : d['c_0011_12'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : d['c_0011_4'], 'c_1010_9' : negation(d['c_0101_0']), 'c_1010_8' : negation(d['c_0110_4']), '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'], 'c_1100_12' : d['c_0101_5'], '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_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_11']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_5'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_4, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0110_4, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 19016440927187333991075/11715454834918088704*c_1001_11^15 - 2996391182952332294675/2928863708729522176*c_1001_11^14 - 983040408789447963683/1464431854364761088*c_1001_11^13 - 253174129216091356147/366107963591190272*c_1001_11^12 - 29278243932073641906487/5857727417459044352*c_1001_11^11 - 5006517332265820341223/1464431854364761088*c_1001_11^10 - 77541258729524677065407/5857727417459044352*c_1001_11^9 - 13626251989362804493039/1464431854364761088*c_1001_11^8 + 177612135263575624106153/11715454834918088704*c_1001_11^7 + 20061834777964894558457/2928863708729522176*c_1001_11^6 + 66737539991541751195051/5857727417459044352*c_1001_11^5 + 12005639898448508471323/1464431854364761088*c_1001_11^4 - 219858872332304160379499/11715454834918088704*c_1001_11^3 - 26385825673784216121947/2928863708729522176*c_1001_11^2 + 4738258007324804777811/732215927182380544*c_1001_11 + 505010285545569390643/183053981795595136, c_0011_0 - 1, c_0011_10 - 7866584215446125/22881747724449392*c_1001_11^14 - 1603553617081295/2860218465556174*c_1001_11^12 - 11473526417149713/11440873862224696*c_1001_11^10 - 51460034840672689/11440873862224696*c_1001_11^8 + 23600346152447495/22881747724449392*c_1001_11^6 + 66439900123907309/11440873862224696*c_1001_11^4 - 70337142284795989/22881747724449392*c_1001_11^2 + 47885760757546/1430109232778087, c_0011_12 + 6843085719560172875/732215927182380544*c_1001_11^15 - 311864008981797025/183053981795595136*c_1001_11^14 + 247221806677368115/91526990897797568*c_1001_11^13 + 8189800207823239/22881747724449392*c_1001_11^12 + 10314048387139254335/366107963591190272*c_1001_11^11 - 408511804143706765/91526990897797568*c_1001_11^10 + 26194486664280174279/366107963591190272*c_1001_11^9 - 918055028141314309/91526990897797568*c_1001_11^8 - 70605269235617878177/732215927182380544*c_1001_11^7 + 4663998397140246083/183053981795595136*c_1001_11^6 - 21975221348067480179/366107963591190272*c_1001_11^5 + 616305803497479545/91526990897797568*c_1001_11^4 + 84007149980302576083/732215927182380544*c_1001_11^3 - 5196590109153302873/183053981795595136*c_1001_11^2 - 1770895080553821999/45763495448898784*c_1001_11 + 146465684597902485/11440873862224696, c_0011_4 + 183867458600465575/45763495448898784*c_1001_11^15 - 138537877816145275/45763495448898784*c_1001_11^14 + 2703438982862913/5720436931112348*c_1001_11^13 - 4377126365135241/5720436931112348*c_1001_11^12 + 254180669974301935/22881747724449392*c_1001_11^11 - 228503870118304907/22881747724449392*c_1001_11^10 + 655032402980419447/22881747724449392*c_1001_11^9 - 510372211608652559/22881747724449392*c_1001_11^8 - 2284392720222641637/45763495448898784*c_1001_11^7 + 1284490024293784297/45763495448898784*c_1001_11^6 - 537941244972939887/22881747724449392*c_1001_11^5 + 353612026619892911/22881747724449392*c_1001_11^4 + 2723994885500901279/45763495448898784*c_1001_11^3 - 1371392152404159667/45763495448898784*c_1001_11^2 - 130836144992602465/5720436931112348*c_1001_11 + 26727558582544383/2860218465556174, c_0011_6 + 117922943568700075/91526990897797568*c_1001_11^14 + 9551351547107443/11440873862224696*c_1001_11^12 + 199822735242824255/45763495448898784*c_1001_11^10 + 528560623618355687/45763495448898784*c_1001_11^8 - 786179492978408449/91526990897797568*c_1001_11^6 - 447038950856185491/45763495448898784*c_1001_11^4 + 1018866929327068403/91526990897797568*c_1001_11^2 - 15495515074927631/5720436931112348, c_0011_8 - 25749035087375275/11440873862224696*c_1001_11^15 - 27922084202356825/22881747724449392*c_1001_11^14 - 1782099673709616/1430109232778087*c_1001_11^13 - 1242626631871819/1430109232778087*c_1001_11^12 - 10271408805280999/1430109232778087*c_1001_11^11 - 46468993413756451/11440873862224696*c_1001_11^10 - 55920347093140883/2860218465556174*c_1001_11^9 - 127380259975401629/11440873862224696*c_1001_11^8 + 205094256399309081/11440873862224696*c_1001_11^7 + 180460721431087575/22881747724449392*c_1001_11^6 + 97221250888454563/5720436931112348*c_1001_11^5 + 123538658098905811/11440873862224696*c_1001_11^4 - 278126229988471207/11440873862224696*c_1001_11^3 - 234955794527561057/22881747724449392*c_1001_11^2 + 36073721163257755/5720436931112348*c_1001_11 + 1392509499269409/1430109232778087, c_0101_0 - 1, c_0101_1 - 8686456539326924475/732215927182380544*c_1001_11^15 + 483622904600641325/183053981795595136*c_1001_11^14 - 357258431379923699/91526990897797568*c_1001_11^13 - 13486256665235607/22881747724449392*c_1001_11^12 - 12708450828251793519/366107963591190272*c_1001_11^11 + 622410755253105769/91526990897797568*c_1001_11^10 - 34259116498906197047/366107963591190272*c_1001_11^9 + 1409636184094538753/91526990897797568*c_1001_11^8 + 90979236937438815857/732215927182380544*c_1001_11^7 - 7377064633913643207/183053981795595136*c_1001_11^6 + 30081041104015662179/366107963591190272*c_1001_11^5 - 966384006136172629/91526990897797568*c_1001_11^4 - 114330668044704571331/732215927182380544*c_1001_11^3 + 8101502560991886181/183053981795595136*c_1001_11^2 + 2423921166317142719/45763495448898784*c_1001_11 - 217788093598063681/11440873862224696, c_0101_11 + 27677452003185725/366107963591190272*c_1001_11^15 + 129540674562892775/91526990897797568*c_1001_11^14 + 9903893108040949/45763495448898784*c_1001_11^13 + 12704854274766891/11440873862224696*c_1001_11^12 + 101581486210044713/183053981795595136*c_1001_11^11 + 210574310805985987/45763495448898784*c_1001_11^10 + 227023265342299105/183053981795595136*c_1001_11^9 + 620617040782675243/45763495448898784*c_1001_11^8 + 666625105237118281/366107963591190272*c_1001_11^7 - 822777270910169285/91526990897797568*c_1001_11^6 - 103757091819270677/183053981795595136*c_1001_11^5 - 591379996085188895/45763495448898784*c_1001_11^4 - 624008397298186571/366107963591190272*c_1001_11^3 + 1292280322455167487/91526990897797568*c_1001_11^2 + 23948856739113771/22881747724449392*c_1001_11 - 15015346550830391/5720436931112348, c_0101_5 - 56336578171310125/45763495448898784*c_1001_11^14 - 7475847027239055/5720436931112348*c_1001_11^12 - 95874603777561105/22881747724449392*c_1001_11^10 - 298147459728013153/22881747724449392*c_1001_11^8 + 230022092763606055/45763495448898784*c_1001_11^6 + 302064285235854501/22881747724449392*c_1001_11^4 - 435724250716406837/45763495448898784*c_1001_11^2 + 797059388701555/2860218465556174, c_0110_4 - 251846929801220975/183053981795595136*c_1001_11^15 - 24300012596687259/22881747724449392*c_1001_11^13 - 394311924644101971/91526990897797568*c_1001_11^11 - 1210493427827139035/91526990897797568*c_1001_11^9 + 1760506246976923341/183053981795595136*c_1001_11^7 + 1185380973755586919/91526990897797568*c_1001_11^5 - 2794476981011718935/183053981795595136*c_1001_11^3 + 43884196387141249/11440873862224696*c_1001_11, c_1001_0 + 27677452003185725/366107963591190272*c_1001_11^15 - 129540674562892775/91526990897797568*c_1001_11^14 + 9903893108040949/45763495448898784*c_1001_11^13 - 12704854274766891/11440873862224696*c_1001_11^12 + 101581486210044713/183053981795595136*c_1001_11^11 - 210574310805985987/45763495448898784*c_1001_11^10 + 227023265342299105/183053981795595136*c_1001_11^9 - 620617040782675243/45763495448898784*c_1001_11^8 + 666625105237118281/366107963591190272*c_1001_11^7 + 822777270910169285/91526990897797568*c_1001_11^6 - 103757091819270677/183053981795595136*c_1001_11^5 + 591379996085188895/45763495448898784*c_1001_11^4 - 624008397298186571/366107963591190272*c_1001_11^3 - 1292280322455167487/91526990897797568*c_1001_11^2 + 23948856739113771/22881747724449392*c_1001_11 + 15015346550830391/5720436931112348, c_1001_11^16 + 24/325*c_1001_11^14 + 186/65*c_1001_11^12 + 458/65*c_1001_11^10 - 803/65*c_1001_11^8 - 114/25*c_1001_11^6 + 4701/325*c_1001_11^4 - 2272/325*c_1001_11^2 + 256/325 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.260 Total time: 0.470 seconds, Total memory usage: 32.09MB