Magma V2.19-8 Wed Aug 21 2013 00:59:07 on localhost [Seed = 1528643643] Type ? for help. Type -D to quit. Loading file "L13n6577__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6577 geometric_solution 12.18281286 oriented_manifold CS_known 0.0000000000000004 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 -1 1 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 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.708819928553 0.517784312535 0 4 6 5 0132 2103 0132 0132 1 1 1 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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593864939333 0.606169539884 7 0 7 3 0132 0132 3012 1302 1 1 1 0 0 1 -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 0 0 0 0 1 0 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 0.175321682969 0.841765261556 8 9 2 0 0132 0132 2031 0132 1 1 1 1 0 1 0 -1 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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631699075050 0.486762405014 8 1 0 9 1230 2103 0132 3012 1 1 1 0 0 0 0 0 1 0 0 -1 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 1 -1 1 0 0 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.988506499525 1.306452871783 8 10 1 11 2103 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 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 0.175321682969 0.841765261556 8 10 12 1 3201 2031 0132 0132 1 1 0 1 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 1 -1 0 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.073579979796 1.061139948323 2 2 12 11 0132 1230 1302 2031 1 1 0 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 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 0.593864939333 0.606169539884 3 4 5 6 0132 3012 2103 2310 0 1 1 1 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 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 0 0 0 0.934967386835 0.937873372132 10 3 4 12 3012 0132 1230 2031 1 1 1 1 0 -1 1 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 1 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 0.599427052449 1.024902637751 6 5 11 9 1302 0132 2103 1230 1 1 1 0 0 0 0 0 1 0 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 0 0 0 -1 0 0 1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.988506499525 1.306452871783 10 7 5 12 2103 1302 0132 0132 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 -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 0.825138197685 1.467283156813 7 9 11 6 2031 1302 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 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 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 0.006733350332 0.765372124653 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : negation(d['c_0101_12']), 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_12'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_12' : d['c_0011_3'], 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : d['c_0101_9'], 's_3_11' : d['1'], 's_3_10' : 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' : negation(d['c_0011_6']), 'c_0101_10' : negation(d['c_0011_6']), '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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_1001_0']), 'c_1100_7' : d['c_0101_12'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : d['c_0101_3'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_0101_12']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : negation(d['c_0101_9']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_9'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : negation(d['c_0101_1']), '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_1100_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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_12'], 'c_0110_10' : negation(d['c_0011_3']), 'c_0110_12' : negation(d['c_0101_3']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_12']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_12']), 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0011_11'], 'c_1100_8' : d['c_0011_6']})} 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_11, c_0011_12, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_12, c_0101_3, c_0101_9, c_1001_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 289253076156934333/515326494339072*c_1100_1^11 + 207231163920206518939/44575741760329728*c_1100_1^10 + 41155876312137813555/2476430097796096*c_1100_1^9 + 1736340256852350295/47623655726848*c_1100_1^8 + 512179517869539631721/6857806424666112*c_1100_1^7 + 2824101804440107957069/22287870880164864*c_1100_1^6 + 3024036211582823519435/22287870880164864*c_1100_1^5 + 2517443966159491285393/29717161173553152*c_1100_1^4 + 34436032571435992621/928661286673536*c_1100_1^3 + 392676719834669924321/22287870880164864*c_1100_1^2 + 263201610572154192901/44575741760329728*c_1100_1 + 1178093113674602741/29717161173553152, c_0011_0 - 1, c_0011_10 + 368863315143/213651117056*c_1100_1^11 + 4522100007781/320476675584*c_1100_1^10 + 1975847160199/40059584448*c_1100_1^9 + 1298355002353/12326025984*c_1100_1^8 + 10613756071577/49304103936*c_1100_1^7 + 19362936428435/53412779264*c_1100_1^6 + 3456604268011/9425784576*c_1100_1^5 + 45705599994317/213651117056*c_1100_1^4 + 15534295249217/160238337792*c_1100_1^3 + 3821703576707/80119168896*c_1100_1^2 + 3627335210651/320476675584*c_1100_1 + 626685578927/640953351168, c_0011_11 - 75021960869/53412779264*c_1100_1^11 - 146785731553/13353194816*c_1100_1^10 - 2967689523431/80119168896*c_1100_1^9 - 2080452479601/26706389632*c_1100_1^8 - 8696328188287/53412779264*c_1100_1^7 - 3545825985375/13353194816*c_1100_1^6 - 10643846215897/40059584448*c_1100_1^5 - 2037607985713/12326025984*c_1100_1^4 - 167823593081/2054337664*c_1100_1^3 - 983576977389/26706389632*c_1100_1^2 - 162719547015/13353194816*c_1100_1 - 6748303793/3409326336, c_0011_12 + 272842240075/320476675584*c_1100_1^11 + 546568862321/80119168896*c_1100_1^10 + 224115432481/9425784576*c_1100_1^9 + 2770434655129/53412779264*c_1100_1^8 + 34756897780309/320476675584*c_1100_1^7 + 4822779961141/26706389632*c_1100_1^6 + 5200461793185/26706389632*c_1100_1^5 + 42493708251481/320476675584*c_1100_1^4 + 3544127603337/53412779264*c_1100_1^3 + 4958606139737/160238337792*c_1100_1^2 + 887686454375/80119168896*c_1100_1 + 277354758847/320476675584, c_0011_3 - 481407593915/320476675584*c_1100_1^11 - 1948900540021/160238337792*c_1100_1^10 - 1133441377975/26706389632*c_1100_1^9 - 3664522600769/40059584448*c_1100_1^8 - 60539388209071/320476675584*c_1100_1^7 - 25345694626427/80119168896*c_1100_1^6 - 2030647742353/6163012992*c_1100_1^5 - 66284613151673/320476675584*c_1100_1^4 - 3946227753601/40059584448*c_1100_1^3 - 1259755222269/26706389632*c_1100_1^2 - 2305367737547/160238337792*c_1100_1 - 358392195709/320476675584, c_0011_6 + 11162739365/80119168896*c_1100_1^11 + 675941291/208643669*c_1100_1^10 + 63163191061/3338298704*c_1100_1^9 + 708802238005/13353194816*c_1100_1^8 + 8100905917865/80119168896*c_1100_1^7 + 2108231897293/10014896112*c_1100_1^6 + 978069292021/3338298704*c_1100_1^5 + 5780902892721/26706389632*c_1100_1^4 + 1348812707707/13353194816*c_1100_1^3 + 131013545911/2503724028*c_1100_1^2 + 64432529747/3338298704*c_1100_1 + 6692204777/2054337664, c_0101_0 - 1, c_0101_1 - 1236406270861/640953351168*c_1100_1^11 - 1486571401889/106825558528*c_1100_1^10 - 6848451471853/160238337792*c_1100_1^9 - 6714114520655/80119168896*c_1100_1^8 - 38875344342075/213651117056*c_1100_1^7 - 43671346434233/160238337792*c_1100_1^6 - 12718291347597/53412779264*c_1100_1^5 - 31077435854053/213651117056*c_1100_1^4 - 6328677809305/80119168896*c_1100_1^3 - 5125041850211/160238337792*c_1100_1^2 - 3869079350749/320476675584*c_1100_1 - 1642266504083/640953351168, c_0101_12 - 10908506177/10014896112*c_1100_1^11 - 17566042979/2054337664*c_1100_1^10 - 59160461961/2054337664*c_1100_1^9 - 102652854545/1704663168*c_1100_1^8 - 3345321631097/26706389632*c_1100_1^7 - 2049208260889/10014896112*c_1100_1^6 - 237004473835/1178223072*c_1100_1^5 - 35408980717/294555768*c_1100_1^4 - 4674963023183/80119168896*c_1100_1^3 - 127514234899/4712892288*c_1100_1^2 - 587023816571/80119168896*c_1100_1 - 77927693161/80119168896, c_0101_3 + 272842240075/160238337792*c_1100_1^11 + 546568862321/40059584448*c_1100_1^10 + 224115432481/4712892288*c_1100_1^9 + 2770434655129/26706389632*c_1100_1^8 + 34756897780309/160238337792*c_1100_1^7 + 4822779961141/13353194816*c_1100_1^6 + 5200461793185/13353194816*c_1100_1^5 + 42493708251481/160238337792*c_1100_1^4 + 3544127603337/26706389632*c_1100_1^3 + 4958606139737/80119168896*c_1100_1^2 + 927746038823/40059584448*c_1100_1 + 437593096639/160238337792, c_0101_9 + 21001183625/106825558528*c_1100_1^11 + 32389699579/26706389632*c_1100_1^10 + 157308516451/53412779264*c_1100_1^9 + 238480015769/53412779264*c_1100_1^8 + 1168255033799/106825558528*c_1100_1^7 + 286726796685/26706389632*c_1100_1^6 + 840071353/1570964096*c_1100_1^5 - 393575433181/106825558528*c_1100_\ 1^4 - 9421561639/3141928192*c_1100_1^3 - 170285858565/53412779264*c_1100_1^2 - 36214738555/26706389632*c_1100_1 - 78275255691/106825558528, c_1001_0 - 146039927909/80119168896*c_1100_1^11 - 1227623386801/80119168896*c_1100_1^10 - 4484809103341/80119168896*c_1100_1^9 - 10115251273945/80119168896*c_1100_1^8 - 10467276178871/40059584448*c_1100_1^7 - 9013863519163/20029792224*c_1100_1^6 - 318386514698/625931007*c_1100_1^5 - 9590724108005/26706389632*c_1100_1^4 - 309867117799/1704663168*c_1100_1^3 - 2295849167787/26706389632*c_1100_1^2 - 886814006869/26706389632*c_1100_1 - 246547787737/40059584448, c_1100_1^12 + 1529/173*c_1100_1^11 + 5934/173*c_1100_1^10 + 14212/173*c_1100_1^9 + 29721/173*c_1100_1^8 + 52851/173*c_1100_1^7 + 65592/173*c_1100_1^6 + 52851/173*c_1100_1^5 + 29721/173*c_1100_1^4 + 14212/173*c_1100_1^3 + 5934/173*c_1100_1^2 + 1529/173*c_1100_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.310 Total time: 0.510 seconds, Total memory usage: 32.09MB