Magma V2.19-8 Tue Aug 20 2013 23:52:38 on localhost [Seed = 4088764459] Type ? for help. Type -D to quit. Loading file "L13n3116__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3116 geometric_solution 11.41435518 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 1 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 -1 0 1 1 0 -1 0 -4 4 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.443284368747 0.709474020587 0 5 7 6 0132 0132 0132 0132 1 0 1 1 0 0 0 0 1 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 0 0 0 -1 0 1 0 -1 1 0 0 4 -3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.470380490984 1.405714479858 8 0 5 9 0132 0132 0132 0132 1 1 1 1 0 0 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 1 3 -4 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 0.363660575536 0.662426631042 8 10 9 0 3012 0132 1230 0132 1 0 1 1 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 0 0 -1 1 0 -1 0 1 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.443284368747 0.709474020587 8 5 0 10 1023 1023 0132 3120 1 0 1 1 0 0 0 0 1 0 -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 -1 1 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.477971054952 0.922668179548 4 1 7 2 1023 0132 3012 0132 1 1 1 1 0 0 1 -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 3 -3 0 0 0 0 -3 3 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.464508491980 0.821002759992 9 11 1 10 0213 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.124051891103 0.638344431521 11 5 10 1 3120 1230 0132 0132 1 0 1 1 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 0 0 1 0 0 -1 0 -1 0 1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.306852354313 0.628997486716 2 4 11 3 0132 1023 1302 1230 0 1 1 1 0 -1 0 1 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 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.754191764002 0.785110414631 6 11 2 3 0213 0213 0132 3012 1 1 0 1 0 0 1 -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 0 4 -4 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 0.464508491980 0.821002759992 4 3 6 7 3120 0132 0132 0132 1 0 1 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 3 0 0 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.470380490984 1.405714479858 8 6 9 7 2031 0132 0213 3120 1 0 1 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 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 0.557341126612 0.854502072119 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : negation(d['c_0011_7']), 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : d['c_1001_3'], 'c_1001_6' : negation(d['c_0011_7']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_5'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_1'], 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : d['c_1001_3'], '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_0011_9'], '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' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : 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' : negation(d['c_1001_3']), 'c_1100_8' : d['c_0011_9'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_0101_10']), 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0101_10']), 'c_1100_3' : negation(d['c_0101_10']), 'c_1100_2' : negation(d['c_1001_3']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_3']), 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_5'], 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_7']), 'c_1010_0' : d['c_0101_5'], 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : d['c_0101_3'], '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' : negation(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' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(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' : d['c_0101_1'], 'c_0110_10' : d['c_0101_3'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0011_9'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_9'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0011_9'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_9'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_10']})} 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_7, c_0011_9, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_1001_0, c_1001_3, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 146706716291136708/86669844524169335*c_1100_1^9 + 2646726142802616/2342428230382955*c_1100_1^8 - 1111576994257214416/86669844524169335*c_1100_1^7 + 4595374771240901/912314152885993*c_1100_1^6 + 14100588534698756162/86669844524169335*c_1100_1^5 + 29452421928509382624/86669844524169335*c_1100_1^4 + 21211295250136709807/86669844524169335*c_1100_1^3 - 1081750749226183436/86669844524169335*c_1100_1^2 - 10068768126566209416/86669844524169335*c_1100_1 - 8138895832247397389/86669844524169335, c_0011_0 - 1, c_0011_10 - 70240695/974792764*c_1100_1^9 - 51427259/974792764*c_1100_1^8 + 551185389/974792764*c_1100_1^7 - 16567037/88617524*c_1100_1^6 - 6953283209/974792764*c_1100_1^5 - 3566186101/243698191*c_1100_1^4 - 2264697621/243698191*c_1100_1^3 + 1877515553/974792764*c_1100_1^2 + 3640368425/974792764*c_1100_1 + 2446502111/974792764, c_0011_11 - 3248281/487396382*c_1100_1^9 - 19098185/487396382*c_1100_1^8 + 26329549/487396382*c_1100_1^7 + 9437559/44308762*c_1100_1^6 - 447300729/487396382*c_1100_1^5 - 1028122019/243698191*c_1100_1^4 - 1490149608/243698191*c_1100_1^3 - 1669909957/487396382*c_1100_1^2 + 456186829/487396382*c_1100_1 + 1184615489/487396382, c_0011_7 - 117323425/974792764*c_1100_1^9 - 55313197/974792764*c_1100_1^8 + 874684663/974792764*c_1100_1^7 - 46128475/88617524*c_1100_1^6 - 11025697919/974792764*c_1100_1^5 - 5400265396/243698191*c_1100_1^4 - 3694983024/243698191*c_1100_1^3 + 739431455/974792764*c_1100_1^2 + 6499449631/974792764*c_1100_1 + 6164821589/974792764, c_0011_9 - 1, c_0101_1 - 3953677/88617524*c_1100_1^9 - 3113945/88617524*c_1100_1^8 + 30283651/88617524*c_1100_1^7 - 9076253/88617524*c_1100_1^6 - 385395227/88617524*c_1100_1^5 - 208056017/22154381*c_1100_1^4 - 152105334/22154381*c_1100_1^3 - 19846233/88617524*c_1100_1^2 + 225019595/88617524*c_1100_1 + 193856257/88617524, c_0101_10 - 9018183/88617524*c_1100_1^9 - 2844607/88617524*c_1100_1^8 + 65977165/88617524*c_1100_1^7 - 47051703/88617524*c_1100_1^6 - 830242573/88617524*c_1100_1^5 - 390083379/22154381*c_1100_1^4 - 251657868/22154381*c_1100_1^3 + 119041089/88617524*c_1100_1^2 + 469721145/88617524*c_1100_1 + 373926195/88617524, c_0101_3 - 6605157/88617524*c_1100_1^9 - 5521187/88617524*c_1100_1^8 + 51226435/88617524*c_1100_1^7 - 14900439/88617524*c_1100_1^6 - 644175551/88617524*c_1100_1^5 - 702632251/44308762*c_1100_1^4 - 539103631/44308762*c_1100_1^3 - 25427387/88617524*c_1100_1^2 + 517818179/88617524*c_1100_1 + 385805039/88617524, c_0101_5 + 81856483/974792764*c_1100_1^9 + 34460357/974792764*c_1100_1^8 - 593432205/974792764*c_1100_1^7 + 31905443/88617524*c_1100_1^6 + 7574489601/974792764*c_1100_1^5 + 7538905075/487396382*c_1100_1^4 + 5278773815/487396382*c_1100_1^3 - 579903667/974792764*c_1100_1^2 - 4462519965/974792764*c_1100_1 - 4210299441/974792764, c_1001_0 - 7514209/974792764*c_1100_1^9 - 422603/974792764*c_1100_1^8 + 84049499/974792764*c_1100_1^7 - 8872289/88617524*c_1100_1^6 - 859559563/974792764*c_1100_1^5 - 286154381/487396382*c_1100_1^4 + 710350429/487396382*c_1100_1^3 + 688621333/974792764*c_1100_1^2 - 844439449/974792764*c_1100_1 + 188461155/974792764, c_1001_3 + 90573177/974792764*c_1100_1^9 + 38139333/974792764*c_1100_1^8 - 656619435/974792764*c_1100_1^7 + 38637691/88617524*c_1100_1^6 + 8311762207/974792764*c_1100_1^5 + 4122695482/243698191*c_1100_1^4 + 3103444077/243698191*c_1100_1^3 + 1356392661/974792764*c_1100_1^2 - 5334296751/974792764*c_1100_1 - 5850738305/974792764, c_1100_1^10 - 8*c_1100_1^8 + 8*c_1100_1^7 + 94*c_1100_1^6 + 137*c_1100_1^5 + 12*c_1100_1^4 - 103*c_1100_1^3 - 64*c_1100_1^2 - 10*c_1100_1 + 37 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB