Magma V2.19-8 Wed Aug 21 2013 01:05:19 on localhost [Seed = 2496826370] Type ? for help. Type -D to quit. Loading file "L14n25786__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25786 geometric_solution 11.55561594 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 1 0 0 0 0 0 0 0 0 0 -1 1 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 0 -1 1 1 -1 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.480197692013 0.949160437416 0 5 6 3 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 -1 1 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 0 0 0 0 2 -1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.884971184844 1.084488393648 7 0 5 8 0132 0132 1230 0132 1 1 0 1 0 0 0 0 -1 0 1 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 1 0 -1 1 0 -1 0 0 -2 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.341791870208 0.870054463479 7 9 1 0 2103 0132 0132 0132 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 1 -1 -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 -0.205236766225 0.690086497736 8 10 0 11 3012 0132 0132 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 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 1.326956246098 0.806121268313 11 1 9 2 0132 0132 1023 3012 1 1 1 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 -1 0 1 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 0.247025356522 0.738991366086 8 10 11 1 1023 2031 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.227054365218 0.538672336162 2 12 3 8 0132 0132 2103 3120 0 1 1 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 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 0.689863436344 0.471298685632 7 6 2 4 3120 1023 0132 1230 1 1 1 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 0 0 1 -1 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.489895268401 0.875932535338 12 3 5 10 3120 0132 1023 0213 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.151944536301 1.123960576892 6 4 12 9 1302 0132 1023 0213 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 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 0.654547251315 0.407202426023 5 12 4 6 0132 1023 0132 0132 1 1 0 1 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 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 0.774928903647 0.675190525298 11 7 10 9 1023 0132 1023 3120 0 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.924490569513 0.546217967462 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : negation(d['c_0011_6']), 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0110_10']), 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0101_9'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : d['c_0011_3'], 'c_1010_11' : negation(d['c_0110_10']), 'c_1010_10' : d['c_1001_2'], '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'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], '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_1100_9' : d['c_1001_2'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_1001_2']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_0']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_11'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_0101_9'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0101_12'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_9'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_9'], 'c_1010_8' : d['c_0101_1'], 'c_1100_8' : d['c_0101_11'], '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' : negation(d['c_0101_9']), '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' : d['c_0011_6'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(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_5'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0110_10']), 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_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_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_0110_10']), 'c_0110_8' : negation(d['c_0011_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' : d['c_0101_0'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_1'], 's_2_9' : d['1']})} 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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_5, c_0101_9, c_0110_10, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 519247262631501311728/723548483693454695947*c_1100_0^12 - 11687840411413935584835/5788387869547637567576*c_1100_0^11 + 72974629425213873114971/5788387869547637567576*c_1100_0^10 - 166396750395149736459617/5788387869547637567576*c_1100_0^9 + 129090528769841658196423/5788387869547637567576*c_1100_0^8 - 169969973269789644928643/2894193934773818783788*c_1100_0^7 + 19468684849852092882467/263108539524892616708*c_1100_0^6 - 5212575821934150178185/70590095970093141068*c_1100_0^5 - 19692468298438311780419/1447096967386909391894*c_1100_0^4 - 111837409363042441797698/723548483693454695947*c_1100_0^3 - 86281767547535898556261/1447096967386909391894*c_1100_0^2 - 243541207645078325425143/5788387869547637567576*c_1100_0 - 20216423334592506382775/723548483693454695947, c_0011_0 - 1, c_0011_10 + 899644059739/316871491794719*c_1100_0^12 - 696093808783/316871491794719*c_1100_0^11 - 26169671415891/316871491794719*c_1100_0^10 + 86434291959390/316871491794719*c_1100_0^9 - 143069827353089/316871491794719*c_1100_0^8 + 166256365058996/316871491794719*c_1100_0^7 - 414111085242279/316871491794719*c_1100_0^6 + 384758446127892/316871491794719*c_1100_0^5 - 371696341445632/316871491794719*c_1100_0^4 + 200613607411830/316871491794719*c_1100_0^3 - 937416705604746/316871491794719*c_1100_0^2 - 405016319434830/316871491794719*c_1100_0 - 491680866673299/316871491794719, c_0011_3 - 3060008136866/316871491794719*c_1100_0^12 - 16216373520449/316871491794719*c_1100_0^11 + 29055950710980/316871491794719*c_1100_0^10 + 13840467634143/316871491794719*c_1100_0^9 - 90867789981602/316871491794719*c_1100_0^8 - 232015701587182/316871491794719*c_1100_0^7 - 10376303608865/316871491794719*c_1100_0^6 + 13476520371216/316871491794719*c_1100_0^5 + 126310645478355/316871491794719*c_1100_0^4 - 1170733422464990/316871491794719*c_1100_0^3 - 1342823080033892/316871491794719*c_1100_0^2 - 1543271135355643/316871491794719*c_1100_0 - 374943753238792/316871491794719, c_0011_6 - 6703094080229/316871491794719*c_1100_0^12 - 30640610837514/316871491794719*c_1100_0^11 + 89228505009205/316871491794719*c_1100_0^10 - 42256494464346/316871491794719*c_1100_0^9 - 330220635148446/316871491794719*c_1100_0^8 - 119867779720531/316871491794719*c_1100_0^7 - 124024618531271/316871491794719*c_1100_0^6 + 549877621299903/316871491794719*c_1100_0^5 - 1317666699916609/316871491794719*c_1100_0^4 - 1772227875137895/316871491794719*c_1100_0^3 - 2469800074485376/316871491794719*c_1100_0^2 - 625182456614217/316871491794719*c_1100_0 - 223455442568855/316871491794719, c_0101_0 + 10808577247628/316871491794719*c_1100_0^12 + 32019357888842/316871491794719*c_1100_0^11 - 185976882990088/316871491794719*c_1100_0^10 + 401717516079692/316871491794719*c_1100_0^9 - 259984227982848/316871491794719*c_1100_0^8 + 849395718472921/316871491794719*c_1100_0^7 - 1055728682694221/316871491794719*c_1100_0^6 + 1037286599433232/316871491794719*c_1100_0^5 + 262120957613899/316871491794719*c_1100_0^4 + 2501243833281518/316871491794719*c_1100_0^3 + 1253343784933721/316871491794719*c_1100_0^2 + 808586322552256/316871491794719*c_1100_0 + 174539682110863/316871491794719, c_0101_1 - 1, c_0101_11 - 10069298600513/316871491794719*c_1100_0^12 - 31216936806480/316871491794719*c_1100_0^11 + 173971108947298/316871491794719*c_1100_0^10 - 340450791554873/316871491794719*c_1100_0^9 + 98235713111116/316871491794719*c_1100_0^8 - 478119156110672/316871491794719*c_1100_0^7 + 575478507258297/316871491794719*c_1100_0^6 - 464325612818585/316871491794719*c_1100_0^5 - 762623195272000/316871491794719*c_1100_0^4 - 1772956924642400/316871491794719*c_1100_0^3 - 1376010240826590/316871491794719*c_1100_0^2 - 571304590831931/316871491794719*c_1100_0 - 346756962556694/316871491794719, c_0101_12 + 5869893838877/316871491794719*c_1100_0^12 + 18577548646315/316871491794719*c_1100_0^11 - 94544841337539/316871491794719*c_1100_0^10 + 202070808109376/316871491794719*c_1100_0^9 - 166282609659548/316871491794719*c_1100_0^8 + 598249286546734/316871491794719*c_1100_0^7 - 617179967981172/316871491794719*c_1100_0^6 + 553201129207772/316871491794719*c_1100_0^5 - 64819295650758/316871491794719*c_1100_0^4 + 1636104065340953/316871491794719*c_1100_0^3 + 1034294833375970/316871491794719*c_1100_0^2 + 782162717531344/316871491794719*c_1100_0 + 219781002526722/316871491794719, c_0101_5 - 5485694417378/316871491794719*c_1100_0^12 - 17141618955742/316871491794719*c_1100_0^11 + 91758420759828/316871491794719*c_1100_0^10 - 192430059752443/316871491794719*c_1100_0^9 + 89517498585859/316871491794719*c_1100_0^8 - 325988460032283/316871491794719*c_1100_0^7 + 322979621800122/316871491794719*c_1100_0^6 - 326043487993756/316871491794719*c_1100_0^5 - 309333049335274/316871491794719*c_1100_0^4 - 1150460930050951/316871491794719*c_1100_0^3 - 833830110454392/316871491794719*c_1100_0^2 - 269510043234603/316871491794719*c_1100_0 - 227459142694587/316871491794719, c_0101_9 + 11730395739910/316871491794719*c_1100_0^12 + 32118404169898/316871491794719*c_1100_0^11 - 211160291745724/316871491794719*c_1100_0^10 + 479089433721925/316871491794719*c_1100_0^9 - 354232791915441/316871491794719*c_1100_0^8 + 847965141920423/316871491794719*c_1100_0^7 - 1175302605416394/316871491794719*c_1100_0^6 + 1148937991685769/316871491794719*c_1100_0^5 + 270923049322477/316871491794719*c_1100_0^4 + 2227474058442101/316871491794719*c_1100_0^3 + 560670994579989/316871491794719*c_1100_0^2 + 465592228409661/316871491794719*c_1100_0 - 71674344946755/316871491794719, c_0110_10 - 5947724413692/316871491794719*c_1100_0^12 - 10648776503950/316871491794719*c_1100_0^11 + 123545298316657/316871491794719*c_1100_0^10 - 343074161271512/316871491794719*c_1100_0^9 + 380849155851616/316871491794719*c_1100_0^8 - 561766201513034/316871491794719*c_1100_0^7 + 940875767543712/316871491794719*c_1100_0^6 - 1045322693487200/316871491794719*c_1100_0^5 + 236180097411959/316871491794719*c_1100_0^4 - 1063042072507134/316871491794719*c_1100_0^3 + 694556587064545/316871491794719*c_1100_0^2 + 29591376442914/316871491794719*c_1100_0 + 266765889627145/316871491794719, c_1001_2 + 4515381113190/316871491794719*c_1100_0^12 + 8135870118585/316871491794719*c_1100_0^11 - 93267095674288/316871491794719*c_1100_0^10 + 259860181288320/316871491794719*c_1100_0^9 - 303925396670428/316871491794719*c_1100_0^8 + 419016371297381/316871491794719*c_1100_0^7 - 656301291376034/316871491794719*c_1100_0^6 + 705257743381019/316871491794719*c_1100_0^5 - 192694890230395/316871491794719*c_1100_0^4 + 475592347775918/316871491794719*c_1100_0^3 - 179620115659441/316871491794719*c_1100_0^2 - 88207020809144/316871491794719*c_1100_0 + 73626109438821/316871491794719, c_1100_0^13 + 3*c_1100_0^12 - 17*c_1100_0^11 + 37*c_1100_0^10 - 24*c_1100_0^9 + 76*c_1100_0^8 - 88*c_1100_0^7 + 96*c_1100_0^6 + 20*c_1100_0^5 + 232*c_1100_0^4 + 117*c_1100_0^3 + 116*c_1100_0^2 + 40*c_1100_0 + 22 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.330 Total time: 0.530 seconds, Total memory usage: 32.09MB