Magma V2.19-8 Tue Aug 20 2013 23:46:39 on localhost [Seed = 3937173749] Type ? for help. Type -D to quit. Loading file "K14n23524__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n23524 geometric_solution 11.29111289 oriented_manifold CS_known -0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 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 0 0 0 0 0 -1 1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.829855796008 0.746994697783 0 5 7 6 0132 0132 0132 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 -3 0 3 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.639560958371 0.489304102287 3 0 7 6 0213 0132 2310 2310 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 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.783051461258 0.913267606373 2 8 5 0 0213 0132 3120 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 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 0.461265368889 0.494066927915 9 5 0 10 0132 2310 0132 0132 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 0 1 1 0 -1 0 -1 1 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.532454793399 1.027702758857 9 1 3 4 1023 0132 3120 3201 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 3 0 -3 0 0 1 -1 3 -4 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617008236135 0.466756581546 2 8 1 11 3201 2310 0132 0132 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 -3 3 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 0.458929875868 0.631046414691 11 2 10 1 1023 3201 2103 0132 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 4 -4 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 0.013718364368 0.754567088577 10 3 11 6 1023 0132 3201 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 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 -0.009625319232 1.081421917755 4 5 10 11 0132 1023 1230 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 -1 0 4 -3 3 -3 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.602551080040 0.767124940204 7 8 4 9 2103 1023 0132 3012 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 0 0 0 0 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.030819532630 0.779798020615 8 7 6 9 2310 1023 0132 1023 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 -3 3 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 0.289878467832 1.272671495070 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0101_8'], 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : negation(d['c_1001_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_11']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_11' : d['c_0101_1'], 'c_1010_10' : negation(d['c_0101_10']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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' : negation(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' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0110_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : negation(d['c_0110_10']), 'c_1100_6' : negation(d['c_0110_10']), 'c_1100_1' : negation(d['c_0110_10']), 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : d['c_0011_11'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_10']), 'c_1100_10' : negation(d['c_0101_5']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : negation(d['c_0101_11']), 'c_1010_2' : negation(d['c_0101_11']), 'c_1010_1' : negation(d['c_1001_3']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : negation(d['c_0101_8']), 'c_1010_8' : d['c_1001_3'], 'c_1100_8' : negation(d['c_0011_11']), 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_0'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_11'], 'c_0011_6' : d['c_0011_11'], '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' : negation(d['c_0101_8']), 'c_0110_10' : d['c_0110_10'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : negation(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_0101_0']), 'c_0110_5' : negation(d['c_0101_8']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_11']})} 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_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0101_8, c_0110_10, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 72*c_1001_1*c_1001_3 - 377/2*c_1001_1 + 72*c_1001_3 - 377/2, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - c_1001_3 + 1, c_0101_0 + c_1001_3 - 1, c_0101_1 - c_1001_1*c_1001_3 + c_1001_1, c_0101_10 + c_1001_3, c_0101_11 + c_1001_1*c_1001_3 - c_1001_1 + c_1001_3 - 1, c_0101_5 + c_1001_1*c_1001_3 - c_1001_1 - c_1001_3, c_0101_8 - c_1001_1*c_1001_3 + c_1001_1 - 1, c_0110_10 - c_1001_1*c_1001_3, c_1001_1^2 + c_1001_1 + 1, c_1001_3^2 - 3*c_1001_3 + 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0101_8, c_0110_10, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 6174393738065459155/610703989565983404*c_1001_3^7 + 2153101005265871093/87243427080854772*c_1001_3^6 - 148281546284743445417/290811423602849240*c_1001_3^5 - 3785394165997667405293/6107039895659834040*c_1001_3^4 + 1974340488771680399737/6107039895659834040*c_1001_3^3 + 1119325020586617573763/6107039895659834040*c_1001_3^2 - 51143916171592819703/407135993043988936*c_1001_3 + 659124307909388680783/6107039895659834040, c_0011_0 - 1, c_0011_10 + 37192441275/142990600558*c_1001_3^7 - 99149304555/142990600558*c_1001_3^6 + 1891848812601/142990600558*c_1001_3^5 + 932843174758/71495300279*c_1001_3^4 - 1907891960051/142990600558*c_1001_3^3 - 421477524315/71495300279*c_1001_3^2 + 309294406725/71495300279*c_1001_3 - 12686105831/4612600018, c_0011_11 - 26201664625/142990600558*c_1001_3^7 + 41656175525/71495300279*c_1001_3^6 - 686970386730/71495300279*c_1001_3^5 - 606323780185/142990600558*c_1001_3^4 + 859839980303/71495300279*c_1001_3^3 + 129822154493/142990600558*c_1001_3^2 - 406011196751/142990600558*c_1001_3 + 4563910703/4612600018, c_0101_0 - 6337348850/71495300279*c_1001_3^7 + 27847965615/142990600558*c_1001_3^6 - 624835459593/142990600558*c_1001_3^5 - 952592158481/142990600558*c_1001_3^4 + 573456401101/142990600558*c_1001_3^3 + 580821268553/142990600558*c_1001_3^2 - 118485918015/142990600558*c_1001_3 + 32887658/2306300009, c_0101_1 - 44856275/15051642164*c_1001_3^7 + 363373945/3762910541*c_1001_3^6 - 3270259323/7525821082*c_1001_3^5 + 68361080883/15051642164*c_1001_3^4 + 7536409979/3762910541*c_1001_3^3 - 54306335927/15051642164*c_1001_3^2 - 1370987377/15051642164*c_1001_3 - 9486313/485536844, c_0101_10 + 841960525/71495300279*c_1001_3^7 - 6005506055/71495300279*c_1001_3^6 + 53463710226/71495300279*c_1001_3^5 - 153385205425/71495300279*c_1001_3^4 - 192622200828/71495300279*c_1001_3^3 + 66155812792/71495300279*c_1001_3^2 + 24449450937/71495300279*c_1001_3 + 1721909897/2306300009, c_0101_11 - 53440168375/285981201116*c_1001_3^7 + 148923029225/285981201116*c_1001_3^6 - 2739801078195/285981201116*c_1001_3^5 - 2337306108913/285981201116*c_1001_3^4 + 2826328898213/285981201116*c_1001_3^3 + 894681759349/285981201116*c_1001_3^2 - 680788837407/142990600558*c_1001_3 + 7127247001/4612600018, c_0101_5 - 10656617975/285981201116*c_1001_3^7 + 5656899980/71495300279*c_1001_3^6 - 267341173647/142990600558*c_1001_3^5 - 811169969899/285981201116*c_1001_3^4 - 34053301661/71495300279*c_1001_3^3 - 81759741561/285981201116*c_1001_3^2 + 83356376959/285981201116*c_1001_3 + 8023323809/9225200036, c_0101_8 + 85041500525/285981201116*c_1001_3^7 - 110463104515/142990600558*c_1001_3^6 + 1079594993124/71495300279*c_1001_3^5 + 4542542668931/285981201116*c_1001_3^4 - 1839785356729/142990600558*c_1001_3^3 - 1604150355699/285981201116*c_1001_3^2 + 867840048825/285981201116*c_1001_3 - 33395535471/9225200036, c_0110_10 - 22425706675/285981201116*c_1001_3^7 + 29502721655/142990600558*c_1001_3^6 - 1154843332567/285981201116*c_1001_3^5 - 555284103521/142990600558*c_1001_3^4 + 249239705165/285981201116*c_1001_3^3 + 85093659462/71495300279*c_1001_3^2 + 93062140811/71495300279*c_1001_3 - 871523904/2306300009, c_1001_1 + 37154625475/142990600558*c_1001_3^7 - 166846692765/285981201116*c_1001_3^6 + 1845069259249/142990600558*c_1001_3^5 + 5367802980331/285981201116*c_1001_3^4 - 1340543389325/142990600558*c_1001_3^3 - 1817053426653/285981201116*c_1001_3^2 + 710153157653/142990600558*c_1001_3 - 10201606864/2306300009, c_1001_3^8 - 16/5*c_1001_3^7 + 1306/25*c_1001_3^6 + 116/5*c_1001_3^5 - 81*c_1001_3^4 + 164/25*c_1001_3^3 + 706/25*c_1001_3^2 - 532/25*c_1001_3 + 217/25 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0101_8, c_0110_10, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 48559111373/40378995860*c_1001_3^13 + 95535511851/40378995860*c_1001_3^12 - 44214974347/20189497930*c_1001_3^11 + 712294035/82406114*c_1001_3^10 - 342762384443/40378995860*c_1001_3^9 + 536345855841/40378995860*c_1001_3^8 - 24297231390/2018949793*c_1001_3^7 + 128432989353/4037899586*c_1001_3^6 - 152376903669/8075799172*c_1001_3^5 + 916355930349/20189497930*c_1001_3^4 - 302721208589/10094748965*c_1001_3^3 + 13399908927/576842798*c_1001_3^2 - 159120321193/40378995860*c_1001_3 + 8747451609/10094748965, c_0011_0 - 1, c_0011_10 + c_1001_3, c_0011_11 + 840635/11772302*c_1001_3^13 - 1292365/11772302*c_1001_3^12 - 221279/11772302*c_1001_3^11 - 2234398/5886151*c_1001_3^10 + 3814367/11772302*c_1001_3^9 - 1003929/11772302*c_1001_3^8 + 4217559/11772302*c_1001_3^7 - 7715597/5886151*c_1001_3^6 + 4670567/11772302*c_1001_3^5 - 3515342/5886151*c_1001_3^4 + 15638427/11772302*c_1001_3^3 + 7432203/11772302*c_1001_3^2 - 216255/5886151*c_1001_3 - 694725/11772302, c_0101_0 - 840635/11772302*c_1001_3^13 + 1292365/11772302*c_1001_3^12 + 221279/11772302*c_1001_3^11 + 2234398/5886151*c_1001_3^10 - 3814367/11772302*c_1001_3^9 + 1003929/11772302*c_1001_3^8 - 4217559/11772302*c_1001_3^7 + 7715597/5886151*c_1001_3^6 - 4670567/11772302*c_1001_3^5 + 3515342/5886151*c_1001_3^4 - 15638427/11772302*c_1001_3^3 - 7432203/11772302*c_1001_3^2 + 216255/5886151*c_1001_3 + 694725/11772302, c_0101_1 + 1328836/29430755*c_1001_3^13 - 8761669/58861510*c_1001_3^12 + 12220731/58861510*c_1001_3^11 - 2165592/5886151*c_1001_3^10 + 19448596/29430755*c_1001_3^9 - 57560979/58861510*c_1001_3^8 + 8429335/11772302*c_1001_3^7 - 9638057/5886151*c_1001_3^6 + 11208321/5886151*c_1001_3^5 - 148553237/58861510*c_1001_3^4 + 59710137/29430755*c_1001_3^3 - 13996659/5886151*c_1001_3^2 - 9422084/29430755*c_1001_3 - 29926969/58861510, c_0101_10 - 1, c_0101_11 + 9402171/117723020*c_1001_3^13 + 6439953/117723020*c_1001_3^12 - 5285721/58861510*c_1001_3^11 - 3004697/5886151*c_1001_3^10 - 92504789/117723020*c_1001_3^9 - 61861177/117723020*c_1001_3^8 - 3093067/5886151*c_1001_3^7 - 7349174/5886151*c_1001_3^6 - 74712577/23544604*c_1001_3^5 - 201748853/58861510*c_1001_3^4 - 121124952/29430755*c_1001_3^3 - 7213193/11772302*c_1001_3^2 - 107966529/117723020*c_1001_3 - 4233271/58861510, c_0101_5 - 1799211/29430755*c_1001_3^13 + 2311973/117723020*c_1001_3^12 - 3017657/117723020*c_1001_3^11 + 2339643/5886151*c_1001_3^10 + 5789944/29430755*c_1001_3^9 + 89239513/117723020*c_1001_3^8 + 4662821/23544604*c_1001_3^7 + 18593563/11772302*c_1001_3^6 + 4711514/5886151*c_1001_3^5 + 388232449/117723020*c_1001_3^4 + 118113941/58861510*c_1001_3^3 + 37631161/11772302*c_1001_3^2 + 16392869/29430755*c_1001_3 + 107656743/117723020, c_0101_8 + 1799211/29430755*c_1001_3^13 - 2311973/117723020*c_1001_3^12 + 3017657/117723020*c_1001_3^11 - 2339643/5886151*c_1001_3^10 - 5789944/29430755*c_1001_3^9 - 89239513/117723020*c_1001_3^8 - 4662821/23544604*c_1001_3^7 - 18593563/11772302*c_1001_3^6 - 4711514/5886151*c_1001_3^5 - 388232449/117723020*c_1001_3^4 - 118113941/58861510*c_1001_3^3 - 37631161/11772302*c_1001_3^2 - 16392869/29430755*c_1001_3 - 107656743/117723020, c_0110_10 - 4910942/29430755*c_1001_3^13 + 26176081/117723020*c_1001_3^12 - 14038479/117723020*c_1001_3^11 + 6484902/5886151*c_1001_3^10 - 15018052/29430755*c_1001_3^9 + 148375881/117723020*c_1001_3^8 - 21154549/23544604*c_1001_3^7 + 42298323/11772302*c_1001_3^6 - 1744857/5886151*c_1001_3^5 + 616252073/117723020*c_1001_3^4 - 41462034/29430755*c_1001_3^3 + 5390939/5886151*c_1001_3^2 - 40116729/58861510*c_1001_3 - 35555039/117723020, c_1001_1 + 4910942/29430755*c_1001_3^13 - 26176081/117723020*c_1001_3^12 + 14038479/117723020*c_1001_3^11 - 6484902/5886151*c_1001_3^10 + 15018052/29430755*c_1001_3^9 - 148375881/117723020*c_1001_3^8 + 21154549/23544604*c_1001_3^7 - 42298323/11772302*c_1001_3^6 + 1744857/5886151*c_1001_3^5 - 616252073/117723020*c_1001_3^4 + 41462034/29430755*c_1001_3^3 - 5390939/5886151*c_1001_3^2 + 40116729/58861510*c_1001_3 + 35555039/117723020, c_1001_3^14 - c_1001_3^13 + c_1001_3^12 - 7*c_1001_3^11 + c_1001_3^10 - 11*c_1001_3^9 + 3*c_1001_3^8 - 25*c_1001_3^7 - 5*c_1001_3^6 - 46*c_1001_3^5 - 9*c_1001_3^4 - 28*c_1001_3^3 - 9*c_1001_3^2 - 6*c_1001_3 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.060 Total time: 1.270 seconds, Total memory usage: 32.09MB