Magma V2.19-8 Wed Aug 21 2013 01:01:00 on localhost [Seed = 206182376] Type ? for help. Type -D to quit. Loading file "L13n9931__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9931 geometric_solution 11.66385491 oriented_manifold CS_known -0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 2 1 0 0 0 0 0 1 0 -1 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 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 0.181259799349 0.533338264908 0 5 6 3 0132 0132 0132 0321 2 2 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.571248175602 1.680838839616 5 0 4 7 0132 0132 2103 0132 2 2 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 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.825655516502 1.381544215899 8 1 9 0 0132 0321 0132 0132 2 2 0 2 0 0 0 0 0 0 -1 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 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 0.593591346300 0.634992870772 2 6 0 10 2103 0132 0132 0132 2 2 2 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 1 -1 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 0.634867754831 1.068721893915 2 1 7 6 0132 0132 0213 3120 2 2 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.318740200651 0.533338264908 5 4 11 1 3120 0132 0132 0132 2 2 1 2 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 0.648569680270 1.152715510621 12 5 2 11 0132 0213 0132 2310 2 2 2 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.912827758251 0.690772107950 3 12 12 11 0132 1302 3012 2031 2 2 2 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 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.597835526948 0.602161531876 10 11 10 3 1023 0213 0132 0132 2 2 2 2 0 0 0 0 0 0 -1 1 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 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 0.300080937250 1.078871564323 12 9 4 9 2031 1023 0132 0132 2 2 2 2 0 0 0 0 -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 -1 1 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 -0.455727184562 1.394590739055 7 8 9 6 3201 1302 0213 0132 2 2 2 2 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 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 0.335783086353 0.534802426495 7 8 10 8 0132 1230 1302 2031 2 2 0 2 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 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 0.766999430716 1.148429518505 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_3'], 'c_1001_10' : d['c_0101_9'], 'c_1001_12' : d['c_0101_9'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_4'], 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : negation(d['c_0011_3']), 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : d['c_0101_3'], 's_0_10' : negation(d['1']), 's_0_11' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : negation(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' : negation(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_10' : negation(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' : negation(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_1100_8' : negation(d['c_0101_9']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_6']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_11'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_1001_3'], 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0101_9'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0011_4'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_0011_11'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_4']), '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_6'], 'c_0110_10' : d['c_0101_9'], 'c_0110_12' : negation(d['c_0011_12']), 'c_0101_12' : negation(d['c_0011_10']), 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_12']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : negation(d['c_0011_12']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_11']), 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_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_11, c_0011_12, c_0011_3, c_0011_4, c_0101_1, c_0101_3, c_0101_6, c_0101_9, c_1001_0, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 392011095/14008235336*c_1100_0^5 - 431093075/7004117668*c_1100_0^4 + 531226024/1751029417*c_1100_0^3 - 461663668/1751029417*c_1100_0^2 + 5683153501/14008235336*c_1100_0 - 334817701/14008235336, c_0011_0 - 1, c_0011_10 - 31360/7687*c_1100_0^5 + 68400/7687*c_1100_0^4 - 280516/7687*c_1100_0^3 + 247982/7687*c_1100_0^2 - 195633/7687*c_1100_0 - 37660/7687, c_0011_11 - 26735/15374*c_1100_0^5 + 55665/15374*c_1100_0^4 - 235591/15374*c_1100_0^3 + 97563/7687*c_1100_0^2 - 78181/7687*c_1100_0 - 22051/15374, c_0011_12 - 23145/15374*c_1100_0^5 + 52345/15374*c_1100_0^4 - 104411/7687*c_1100_0^3 + 196971/15374*c_1100_0^2 - 72887/7687*c_1100_0 - 7257/7687, c_0011_3 + 1, c_0011_4 + 11020/7687*c_1100_0^5 - 22075/7687*c_1100_0^4 + 94162/7687*c_1100_0^3 - 71699/7687*c_1100_0^2 + 56740/7687*c_1100_0 + 16391/7687, c_0101_1 - 1, c_0101_3 + 8145/15374*c_1100_0^5 - 17275/15374*c_1100_0^4 + 34676/7687*c_1100_0^3 - 52139/15374*c_1100_0^2 + 15437/7687*c_1100_0 + 17056/7687, c_0101_6 - 17345/15374*c_1100_0^5 + 32635/15374*c_1100_0^4 - 141057/15374*c_1100_0^3 + 45835/7687*c_1100_0^2 - 19925/7687*c_1100_0 - 43513/15374, c_0101_9 - 12125/15374*c_1100_0^5 + 15135/7687*c_1100_0^4 - 57330/7687*c_1100_0^3 + 62636/7687*c_1100_0^2 - 96721/15374*c_1100_0 + 1877/15374, c_1001_0 - 11020/7687*c_1100_0^5 + 22075/7687*c_1100_0^4 - 94162/7687*c_1100_0^3 + 71699/7687*c_1100_0^2 - 49053/7687*c_1100_0 - 16391/7687, c_1001_3 + 22040/7687*c_1100_0^5 - 44150/7687*c_1100_0^4 + 188324/7687*c_1100_0^3 - 143398/7687*c_1100_0^2 + 105793/7687*c_1100_0 + 32782/7687, c_1100_0^6 - 2*c_1100_0^5 + 43/5*c_1100_0^4 - 32/5*c_1100_0^3 + 26/5*c_1100_0^2 + 2*c_1100_0 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB