Magma V2.19-8 Tue Aug 20 2013 18:33:44 on localhost [Seed = 3035957288] Type ? for help. Type -D to quit. Loading file "11_50__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_50 geometric_solution 12.75112575 oriented_manifold CS_known 0.0000000000000008 1 0 torus 0.000000000000 0.000000000000 14 1 2 3 4 0132 0132 0132 0132 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 -1 1 0 0 0 -1 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 0.914443615282 1.092794299316 0 2 6 5 0132 3201 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.187587365636 1.644972167748 7 0 1 8 0132 0132 2310 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 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 0.189498767128 0.483675544857 6 9 10 0 2031 0132 0132 0132 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 0 1 -1 -1 0 0 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.269323658859 1.659705162949 11 5 0 9 0132 3120 0132 0132 0 0 0 0 0 0 0 0 1 0 -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 1 0 -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 0.412096242859 0.686418998241 12 4 1 10 0132 3120 0132 1230 0 0 0 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.520528470974 0.890000381120 8 13 3 1 0213 0132 1302 0132 0 0 0 0 0 -1 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 -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 0.180799247239 0.894017063042 2 8 13 11 0132 2310 1302 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 1 -1 1 0 0 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.713787034259 0.428338459405 6 12 2 7 0213 2103 0132 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 -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 0.992949739892 1.604579283935 12 3 4 10 2103 0132 0132 0132 0 0 0 0 0 0 0 0 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 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 -0.229846570663 0.626265916779 5 11 9 3 3012 0213 0132 0132 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 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 0.391148600290 0.676524355722 4 13 10 7 0132 3201 0213 1023 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 0 -1 1 -1 0 0 1 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517762995721 0.860878699118 5 8 9 13 0132 2103 2103 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.912842803911 0.629124180138 7 6 11 12 2031 0132 2310 1023 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 0 0 0 0 0 0 0 0 1 -1 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 0.287038023191 0.407923398020 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_13']), 'c_1001_10' : negation(d['c_0101_13']), 'c_1001_13' : negation(d['c_0101_2']), 'c_1001_12' : negation(d['c_0011_3']), 'c_1001_5' : negation(d['c_1001_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0110_13'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0011_12'], 'c_1001_3' : negation(d['c_0101_13']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : d['c_0011_12'], 'c_1010_13' : d['c_0101_0'], 'c_1010_12' : d['c_0110_13'], 'c_1010_11' : d['c_0101_2'], 'c_1010_10' : negation(d['c_0101_13']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 'c_0101_13' : d['c_0101_13'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : 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' : d['1'], 's_2_12' : d['1'], 's_2_13' : 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_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_13'], 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_0']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : negation(d['c_0101_13']), 'c_1100_10' : d['c_1100_0'], 'c_1100_13' : d['c_0011_11'], 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0011_11'], 's_0_13' : d['1'], 'c_1010_3' : d['c_0011_12'], 'c_1010_2' : d['c_0011_12'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_13']), 'c_1010_8' : negation(d['c_0110_13']), 'c_1100_8' : negation(d['c_0011_0']), '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_0011_11']), '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_12']), 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_13']), '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_1'], 'c_0110_10' : d['c_0101_3'], 'c_0110_13' : d['c_0110_13'], 'c_0110_12' : d['c_0101_0'], 'c_1010_4' : d['c_0011_12'], 'c_0101_12' : d['c_0011_10'], 'c_0101_7' : negation(d['c_0011_13']), 'c_0101_6' : negation(d['c_0011_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_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : negation(d['c_0011_13']), 's_2_8' : 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' : negation(d['c_0101_1']), '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_0011_13']), 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0011_3, c_0101_0, c_0101_1, c_0101_13, c_0101_2, c_0101_3, c_0110_13, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 236765208783/344810609*c_1100_0^5 - 1186719681899/344810609*c_1100_0^4 - 12813816255100/1034431827*c_1100_0^3 - 34177507131199/1034431827*c_1100_0^2 - 40643303984207/1034431827*c_1100_0 - 1593542594700/344810609, c_0011_0 - 1, c_0011_10 + c_1100_0, c_0011_11 - 349/2847*c_1100_0^5 - 1790/2847*c_1100_0^4 - 6385/2847*c_1100_0^3 - 17578/2847*c_1100_0^2 - 6239/949*c_1100_0 - 1490/2847, c_0011_12 - 4/219*c_1100_0^5 - 9/73*c_1100_0^4 - 101/219*c_1100_0^3 - 241/219*c_1100_0^2 - 376/219*c_1100_0 + 44/219, c_0011_13 - 10/2847*c_1100_0^5 + 188/2847*c_1100_0^4 + 220/949*c_1100_0^3 + 2792/2847*c_1100_0^2 + 6433/2847*c_1100_0 + 1010/949, c_0011_3 - 55/219*c_1100_0^5 - 280/219*c_1100_0^4 - 323/73*c_1100_0^3 - 2602/219*c_1100_0^2 - 3053/219*c_1100_0 + 7/73, c_0101_0 - 10/2847*c_1100_0^5 + 188/2847*c_1100_0^4 + 220/949*c_1100_0^3 + 2792/2847*c_1100_0^2 + 6433/2847*c_1100_0 + 61/949, c_0101_1 + 173/2847*c_1100_0^5 + 371/949*c_1100_0^4 + 3766/2847*c_1100_0^3 + 10916/2847*c_1100_0^2 + 14072/2847*c_1100_0 + 725/2847, c_0101_13 - 176/2847*c_1100_0^5 - 677/2847*c_1100_0^4 - 873/949*c_1100_0^3 - 6662/2847*c_1100_0^2 - 4645/2847*c_1100_0 - 255/949, c_0101_2 + 181/2847*c_1100_0^5 + 583/2847*c_1100_0^4 + 763/949*c_1100_0^3 + 5266/2847*c_1100_0^2 + 2852/2847*c_1100_0 - 250/949, c_0101_3 - 114/949*c_1100_0^5 - 514/949*c_1100_0^4 - 1966/949*c_1100_0^3 - 5372/949*c_1100_0^2 - 6190/949*c_1100_0 - 571/949, c_0110_13 + 755/2847*c_1100_0^5 + 1279/949*c_1100_0^4 + 13753/2847*c_1100_0^3 + 36893/2847*c_1100_0^2 + 43376/2847*c_1100_0 + 893/2847, c_1001_2 - 61/949*c_1100_0^5 - 925/2847*c_1100_0^4 - 3106/2847*c_1100_0^3 - 2708/949*c_1100_0^2 - 10486/2847*c_1100_0 + 2305/2847, c_1100_0^6 + 5*c_1100_0^5 + 18*c_1100_0^4 + 48*c_1100_0^3 + 57*c_1100_0^2 + 7*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 39.350 Total time: 39.570 seconds, Total memory usage: 487.56MB