Magma V2.19-8 Tue Aug 20 2013 18:07:35 on localhost [Seed = 2598051950] Type ? for help. Type -D to quit. Loading file "10^2_11__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_11 geometric_solution 14.39033197 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 15 1 2 3 4 0132 0132 0132 0132 0 1 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 0 0 0 0 0 0 0 1 0 -1 -2 0 2 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 0.373924124475 0.822890697093 0 5 5 6 0132 0132 0321 0132 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 0 0 0 -1 0 1 2 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 0.569502037644 0.884324470169 7 0 5 7 0132 0132 2031 2103 0 0 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 0 0 0 -1 1 0 5 0 1 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.569502037644 0.884324470169 8 9 10 0 0132 0132 0132 0132 0 1 1 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 0 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.231292484857 1.788638681814 6 9 0 11 1302 0321 0132 0132 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 0 0 0 0 0 0 0 1 -1 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 0.207731031292 1.219568936551 12 1 1 2 0132 0132 0321 1302 0 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 0 0 0 0 0 1 0 -1 0 0 0 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.569502037644 0.884324470169 12 4 1 11 3012 2031 0132 3120 0 1 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 0 0 0 0 0 0 0 0 -1 1 -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 0.668941690369 0.841564735872 2 12 8 2 0132 0132 1023 2103 1 0 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 -5 0 -1 6 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.569502037644 0.884324470169 3 13 7 13 0132 0132 1023 0213 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 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 0.229714845353 0.599677885034 14 3 12 4 0132 0132 3120 0321 0 0 0 1 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 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 -0.079377757397 1.037112369300 14 13 11 3 3201 1230 0132 0132 0 1 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 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.729020603675 0.776492106375 6 14 4 10 3120 0213 0132 0132 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 0 0 0 0 0 0 -1 1 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 0.043280293581 0.463539695214 5 7 9 6 0132 0132 3120 1230 1 0 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.373924124475 0.822890697093 14 8 10 8 1023 0132 3012 0213 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 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.229714845353 0.599677885034 9 13 11 10 0132 1023 0213 2310 0 0 1 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 -1 0 0 1 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.915455155447 0.912630296195 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_0' : d['1'], 'c_1001_14' : d['c_0101_13'], 'c_1001_11' : d['c_0101_13'], 'c_1001_10' : d['c_0011_10'], 'c_1001_13' : negation(d['c_0011_10']), 'c_1001_12' : negation(d['c_1001_0']), 'c_1001_5' : negation(d['c_0101_11']), 'c_1001_4' : negation(d['c_0101_12']), 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_13'], 'c_1001_2' : negation(d['c_0101_12']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_7'], 'c_1010_13' : d['c_0101_7'], 'c_1010_12' : d['c_0101_0'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_0101_13'], 'c_1010_14' : negation(d['c_0101_3']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_0_13' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 'c_0101_13' : d['c_0101_13'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 'c_0101_14' : d['c_0011_11'], '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' : negation(d['1']), 's_2_12' : negation(d['1']), 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_14' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_14' : d['c_0011_13'], 'c_1100_9' : negation(d['c_0101_12']), 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_7']), 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_2']), 'c_1100_14' : d['c_0011_10'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1100_0'], 'c_1100_13' : negation(d['c_0011_10']), 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : negation(d['c_1001_0']), 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_13'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_11']), 'c_1010_0' : negation(d['c_0101_12']), 'c_1010_9' : d['c_0101_13'], 'c_1010_8' : negation(d['c_0011_10']), 'c_1100_8' : d['c_0101_7'], 's_3_1' : d['1'], 's_2_8' : 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'], 'c_1100_12' : d['c_0101_10'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_3_11' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_13']), 'c_0011_8' : negation(d['c_0011_13']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), '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_13'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_3'], 'c_0110_13' : negation(d['c_0101_3']), 'c_0110_12' : d['c_0011_6'], 'c_0110_14' : negation(d['c_0101_10']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_6']), 's_3_12' : d['1'], 's_0_8' : negation(d['1']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0101_0'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_13, c_0101_2, c_0101_3, c_0101_7, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 72561897396114871/10700353536*c_1100_0^12 - 124554174480986131/7133569024*c_1100_0^11 - 11800017146065085/42801414144*c_1100_0^10 + 1437636637595151389/42801414144*c_1100_0^9 - 15710799630116155/891696128*c_1100_0^8 - 8470200467996754907/342411313152*c_1100_0^7 + 15862077564375229081/684822626304*c_1100_0^6 + 1720532417560906793/684822626304*c_1100_0^5 - 22238743816717503923/2739290505216*c_1100_0^4 + 12166084046635966535/5478581010432*c_1100_0^3 - 202300976558387719/3652387340288*c_1100_0^2 + 60935737436734375/2739290505216*c_1100_0 + 311236381923182683/10957162020864, c_0011_0 - 1, c_0011_10 + 20771840/870797*c_1100_0^12 - 46689280/870797*c_1100_0^11 - 18015744/870797*c_1100_0^10 + 95193088/870797*c_1100_0^9 - 12734528/870797*c_1100_0^8 - 75959360/870797*c_1100_0^7 + 28438752/870797*c_1100_0^6 + 14394304/870797*c_1100_0^5 - 6158476/870797*c_1100_0^4 + 2985716/870797*c_1100_0^3 - 3514966/870797*c_1100_0^2 + 906896/870797*c_1100_0 + 106770/870797, c_0011_11 + 110533568/870797*c_1100_0^12 - 241490720/870797*c_1100_0^11 - 87028432/870797*c_1100_0^10 + 499613456/870797*c_1100_0^9 - 123738112/870797*c_1100_0^8 - 413686310/870797*c_1100_0^7 + 249344409/870797*c_1100_0^6 + 96256077/870797*c_1100_0^5 - 433014907/3483188*c_1100_0^4 + 124571527/6966376*c_1100_0^3 + 85727739/13932752*c_1100_0^2 - 815131/870797*c_1100_0 - 586129/13932752, c_0011_13 - 102255760/870797*c_1100_0^12 + 256816632/870797*c_1100_0^11 - 6309332/870797*c_1100_0^10 - 474300028/870797*c_1100_0^9 + 297315648/870797*c_1100_0^8 + 626630437/1741594*c_1100_0^7 - 1529909631/3483188*c_1100_0^6 + 55102757/3483188*c_1100_0^5 + 2155504301/13932752*c_1100_0^4 - 1745641809/27865504*c_1100_0^3 + 66324435/55731008*c_1100_0^2 + 2242989/1741594*c_1100_0 + 8100311/55731008, c_0011_6 - 72265472/870797*c_1100_0^12 + 163064448/870797*c_1100_0^11 + 34079296/870797*c_1100_0^10 - 317569984/870797*c_1100_0^9 + 127366400/870797*c_1100_0^8 + 239057816/870797*c_1100_0^7 - 199590260/870797*c_1100_0^6 - 33931996/870797*c_1100_0^5 + 76079179/870797*c_1100_0^4 - 31762435/1741594*c_1100_0^3 - 3461359/3483188*c_1100_0^2 - 2966403/1741594*c_1100_0 + 1882539/3483188, c_0101_0 - 1, c_0101_10 - c_1100_0, c_0101_11 - 54722080/870797*c_1100_0^12 + 143512688/870797*c_1100_0^11 - 7594856/870797*c_1100_0^10 - 263491960/870797*c_1100_0^9 + 163699072/870797*c_1100_0^8 + 171356589/870797*c_1100_0^7 - 415458119/1741594*c_1100_0^6 + 24187013/1741594*c_1100_0^5 + 586475573/6966376*c_1100_0^4 - 511347753/13932752*c_1100_0^3 + 8691675/27865504*c_1100_0^2 + 5213857/3483188*c_1100_0 + 476967/27865504, c_0101_12 + 72265472/870797*c_1100_0^12 - 163064448/870797*c_1100_0^11 - 34079296/870797*c_1100_0^10 + 317569984/870797*c_1100_0^9 - 127366400/870797*c_1100_0^8 - 239057816/870797*c_1100_0^7 + 199590260/870797*c_1100_0^6 + 33931996/870797*c_1100_0^5 - 76079179/870797*c_1100_0^4 + 31762435/1741594*c_1100_0^3 + 3461359/3483188*c_1100_0^2 + 1047803/870797*c_1100_0 - 140945/3483188, c_0101_13 + 18418880/870797*c_1100_0^12 - 56559264/870797*c_1100_0^11 + 12917360/870797*c_1100_0^10 + 113920464/870797*c_1100_0^9 - 87598464/870797*c_1100_0^8 - 86334766/870797*c_1100_0^7 + 109900549/870797*c_1100_0^6 + 9298825/870797*c_1100_0^5 - 192466015/3483188*c_1100_0^4 + 77275291/6966376*c_1100_0^3 + 79960607/13932752*c_1100_0^2 - 568890/870797*c_1100_0 + 948371/13932752, c_0101_2 + 49104000/870797*c_1100_0^12 - 76702656/870797*c_1100_0^11 - 104741728/870797*c_1100_0^10 + 195547104/870797*c_1100_0^9 + 82362496/870797*c_1100_0^8 - 209882324/870797*c_1100_0^7 - 6389522/870797*c_1100_0^6 + 101946430/870797*c_1100_0^5 - 33117373/1741594*c_1100_0^4 - 71554071/3483188*c_1100_0^3 + 32471493/6966376*c_1100_0^2 + 839977/1741594*c_1100_0 - 601339/6966376, c_0101_3 + 10838224/870797*c_1100_0^12 - 16972504/870797*c_1100_0^11 - 37028188/870797*c_1100_0^10 + 56554860/870797*c_1100_0^9 + 55067584/870797*c_1100_0^8 - 153363673/1741594*c_1100_0^7 - 163944677/3483188*c_1100_0^6 + 204599559/3483188*c_1100_0^5 + 200833023/13932752*c_1100_0^4 - 481509899/27865504*c_1100_0^3 - 40669631/55731008*c_1100_0^2 + 1297877/870797*c_1100_0 - 4515571/55731008, c_0101_7 - 54722080/870797*c_1100_0^12 + 143512688/870797*c_1100_0^11 - 7594856/870797*c_1100_0^10 - 263491960/870797*c_1100_0^9 + 163699072/870797*c_1100_0^8 + 171356589/870797*c_1100_0^7 - 415458119/1741594*c_1100_0^6 + 24187013/1741594*c_1100_0^5 + 586475573/6966376*c_1100_0^4 - 511347753/13932752*c_1100_0^3 + 8691675/27865504*c_1100_0^2 + 5213857/3483188*c_1100_0 + 476967/27865504, c_1001_0 - 72265472/870797*c_1100_0^12 + 163064448/870797*c_1100_0^11 + 34079296/870797*c_1100_0^10 - 317569984/870797*c_1100_0^9 + 127366400/870797*c_1100_0^8 + 239057816/870797*c_1100_0^7 - 199590260/870797*c_1100_0^6 - 33931996/870797*c_1100_0^5 + 76079179/870797*c_1100_0^4 - 31762435/1741594*c_1100_0^3 - 3461359/3483188*c_1100_0^2 - 2966403/1741594*c_1100_0 + 1882539/3483188, c_1100_0^13 - 5/2*c_1100_0^12 - 1/4*c_1100_0^11 + 5*c_1100_0^10 - 9/4*c_1100_0^9 - 125/32*c_1100_0^8 + 205/64*c_1100_0^7 + 21/32*c_1100_0^6 - 313/256*c_1100_0^5 + 127/512*c_1100_0^4 + 23/1024*c_1100_0^3 + 5/1024*c_1100_0^2 + 1/1024*c_1100_0 + 1/1024 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.850 Total time: 2.049 seconds, Total memory usage: 32.09MB