Magma V2.19-8 Fri Sep 13 2013 20:45:31 on localhost [Seed = 2730705172] Type ? for help. Type -D to quit. Loading file "11_312__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_312 geometric_solution 15.39715776 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 17 1 2 3 4 0132 0132 0132 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 0 -1 -1 0 1 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 0.399617920605 0.875038060741 0 5 2 6 0132 0132 2031 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 -1 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399268613914 0.665825903619 7 0 8 1 0132 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399268613914 0.665825903619 9 10 11 0 0132 0132 0132 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 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 0.005765934972 0.613133309353 6 12 0 11 0132 0132 0132 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 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 0.040743124464 1.312639005764 10 1 13 7 0213 0132 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.234567320069 0.729896582007 4 7 1 10 0132 3120 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.307225043580 1.090466158743 2 6 5 12 0132 3120 1230 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.484648847085 1.671485583085 14 15 10 2 0132 0132 0132 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 0 0 0 1 0 0 -1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.858256018652 0.719527023324 3 13 11 14 0132 3012 2103 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0.600650478390 0.658586940017 5 3 6 8 0213 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.415317522958 0.922375096137 9 16 4 3 2103 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.583311026070 1.151652957771 7 4 14 15 3120 0132 0132 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 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 0.587086108611 1.011708534381 9 16 16 5 1230 1023 1230 0132 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 -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 0.086301499646 0.942878924605 8 9 15 12 0132 0321 2103 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 0 -1 1 -1 0 1 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 0.842931858056 0.637267314236 14 8 12 16 2103 0132 0132 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 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 1.098084387004 0.803061156305 13 11 15 13 1023 0132 0132 3012 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 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 0.086301499646 0.942878924605 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : d['c_1001_15'], 'c_1001_14' : d['c_0011_14'], 'c_1001_16' : d['c_1001_16'], 'c_1001_11' : negation(d['c_0101_13']), 'c_1001_10' : d['c_1001_0'], 'c_1001_13' : d['c_0101_16'], 'c_1001_12' : negation(d['c_0101_13']), 'c_1001_5' : d['c_0110_16'], 'c_1001_4' : d['c_1001_15'], 'c_1001_7' : negation(d['c_0110_16']), 'c_1001_6' : d['c_0110_16'], 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_16'], 'c_1001_2' : d['c_1001_15'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_1001_16'], 'c_1010_13' : d['c_0110_16'], 'c_1010_12' : d['c_1001_15'], 'c_1010_11' : d['c_1001_16'], 'c_1010_10' : d['c_1001_16'], 'c_1010_16' : negation(d['c_0101_13']), 'c_1010_15' : d['c_1001_16'], 'c_1010_14' : negation(d['c_0101_13']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_3_13' : d['1'], 's_3_12' : d['1'], 's_3_15' : d['1'], 's_3_14' : d['1'], 's_0_16' : d['1'], 's_3_16' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_0'], 'c_0101_10' : d['c_0011_0'], 'c_0101_16' : d['c_0101_16'], 'c_0101_15' : d['c_0101_14'], 'c_0101_14' : d['c_0101_14'], '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_2_16' : d['1'], 's_2_14' : d['1'], 's_2_15' : 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_15' : d['c_0011_14'], 'c_0011_14' : d['c_0011_14'], 'c_0011_16' : negation(d['c_0011_11']), 'c_1100_9' : d['c_0011_14'], 'c_1100_8' : d['c_0101_1'], 'c_0011_13' : negation(d['c_0011_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0110_16'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_12']), 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_1'], 'c_1100_14' : negation(d['c_0101_16']), 's_0_15' : d['1'], 'c_1100_15' : negation(d['c_0101_16']), 's_0_10' : d['1'], 'c_1100_16' : negation(d['c_0101_16']), 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_0101_1'], 'c_1100_13' : d['c_0110_16'], 's_3_10' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : negation(d['c_0011_12']), 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0101_7']), 's_0_13' : d['1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0110_16'], 'c_1010_0' : d['c_1001_15'], 's_0_14' : d['1'], 'c_1010_9' : negation(d['c_0101_13']), 'c_1010_8' : d['c_1001_15'], '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_16']), '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' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_14']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_12']), 'c_0101_13' : d['c_0101_13'], 'c_0011_6' : d['c_0011_12'], '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' : negation(d['c_0011_14']), 'c_0110_10' : d['c_0101_12'], 'c_0110_13' : d['c_0011_10'], 'c_0110_12' : d['c_0101_14'], 'c_0110_15' : d['c_0101_16'], 'c_0110_14' : d['c_0101_12'], 'c_0110_16' : d['c_0110_16'], 'c_1010_4' : negation(d['c_0101_13']), 'c_0101_12' : d['c_0101_12'], 'c_0011_7' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_14']), 'c_0101_2' : d['c_0101_14'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_12'], 'c_0011_10' : d['c_0011_10'], 's_1_16' : d['1'], 's_1_15' : d['1'], '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' : negation(d['c_0011_14']), 'c_0110_8' : d['c_0101_14'], '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' : negation(d['c_0101_12']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_14'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_14, c_0101_0, c_0101_1, c_0101_12, c_0101_13, c_0101_14, c_0101_16, c_0101_7, c_0110_16, c_1001_0, c_1001_15, c_1001_16, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 8/3*c_1001_16*c_1100_0 + 4/3*c_1001_16 + 10/3*c_1100_0 + 10/3, c_0011_0 - 1, c_0011_10 + 2*c_1001_16, c_0011_11 + c_1001_16 + 3*c_1100_0 + 1, c_0011_12 - 2*c_1001_16*c_1100_0 - c_1001_16 - 3*c_1100_0 - 4, c_0011_14 + 1, c_0101_0 - 2*c_1001_16*c_1100_0 - c_1001_16 - c_1100_0 - 2, c_0101_1 - c_1001_16*c_1100_0 - 2*c_1100_0 - 1/2, c_0101_12 - c_1001_16*c_1100_0 - c_1001_16 - c_1100_0 - 3/2, c_0101_13 - 2*c_1100_0 - 1, c_0101_14 - c_1001_16 + 3*c_1100_0 + 1, c_0101_16 + c_1001_16*c_1100_0 + 1/2, c_0101_7 + c_1100_0, c_0110_16 - c_1001_16 - c_1100_0 - 1, c_1001_0 - c_1001_16*c_1100_0 - 1/2, c_1001_15 - 2*c_1001_16*c_1100_0 - c_1001_16 - c_1100_0, c_1001_16^2 - 2*c_1001_16*c_1100_0 + c_1100_0 + 1/2, c_1100_0^2 + c_1100_0 + 1/2 ], Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_14, c_0101_0, c_0101_1, c_0101_12, c_0101_13, c_0101_14, c_0101_16, c_0101_7, c_0110_16, c_1001_0, c_1001_15, c_1001_16, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 225119220544/708844419*c_1100_0^7 - 9935190468584/3544222095*c_1100_0^6 - 10420506070828/708844419*c_1100_0^5 - 148792910822984/3544222095*c_1100_0^4 - 207091650372958/3544222095*c_1100_0^3 - 135196585291897/3544222095*c_1100_0^2 - 49032032485448/3544222095*c_1100_0 - 7518898454971/3544222095, c_0011_0 - 1, c_0011_10 + 574972/1381763*c_1100_0^7 + 5331612/1381763*c_1100_0^6 + 28671756/1381763*c_1100_0^5 + 2782183/44573*c_1100_0^4 + 131580373/1381763*c_1100_0^3 + 96442900/1381763*c_1100_0^2 + 36239774/1381763*c_1100_0 + 8120270/1381763, c_0011_11 - 72468/1381763*c_1100_0^7 - 364488/1381763*c_1100_0^6 - 1515128/1381763*c_1100_0^5 - 28225/44573*c_1100_0^4 + 3598442/1381763*c_1100_0^3 + 1798905/1381763*c_1100_0^2 - 1061606/1381763*c_1100_0 + 862331/1381763, c_0011_12 - 858444/1381763*c_1100_0^7 - 7762640/1381763*c_1100_0^6 - 41273700/1381763*c_1100_0^5 - 3912727/44573*c_1100_0^4 - 178599140/1381763*c_1100_0^3 - 127684246/1381763*c_1100_0^2 - 48191344/1381763*c_1100_0 - 9811534/1381763, c_0011_14 + 210716/1381763*c_1100_0^7 + 1688176/1381763*c_1100_0^6 + 8306996/1381763*c_1100_0^5 + 661591/44573*c_1100_0^4 + 19088036/1381763*c_1100_0^3 + 2178890/1381763*c_1100_0^2 - 2309823/1381763*c_1100_0 - 2083649/1381763, c_0101_0 - 10164/47647*c_1100_0^7 - 87788/47647*c_1100_0^6 - 455788/47647*c_1100_0^5 - 40961/1537*c_1100_0^4 - 1684797/47647*c_1100_0^3 - 997838/47647*c_1100_0^2 - 272761/47647*c_1100_0 - 1619/1643, c_0101_1 - 443536/1381763*c_1100_0^7 - 3684648/1381763*c_1100_0^6 - 18460144/1381763*c_1100_0^5 - 1544088/44573*c_1100_0^4 - 50997042/1381763*c_1100_0^3 - 13428238/1381763*c_1100_0^2 + 544601/1381763*c_1100_0 + 2847795/1381763, c_0101_12 - 754748/1381763*c_1100_0^7 - 6477472/1381763*c_1100_0^6 - 33464016/1381763*c_1100_0^5 - 2983159/44573*c_1100_0^4 - 120767472/1381763*c_1100_0^3 - 72654645/1381763*c_1100_0^2 - 27906213/1381763*c_1100_0 - 4725779/1381763, c_0101_13 + 156508/1381763*c_1100_0^7 + 1222164/1381763*c_1100_0^6 + 6425984/1381763*c_1100_0^5 + 554503/44573*c_1100_0^4 + 26172635/1381763*c_1100_0^3 + 24959507/1381763*c_1100_0^2 + 11281498/1381763*c_1100_0 + 2582897/1381763, c_0101_14 + 774404/1381763*c_1100_0^7 + 6904964/1381763*c_1100_0^6 + 36362844/1381763*c_1100_0^5 + 3386449/44573*c_1100_0^4 + 148828063/1381763*c_1100_0^3 + 100925834/1381763*c_1100_0^2 + 40734978/1381763*c_1100_0 + 7748069/1381763, c_0101_16 - 838788/1381763*c_1100_0^7 - 7335148/1381763*c_1100_0^6 - 38374872/1381763*c_1100_0^5 - 3509437/44573*c_1100_0^4 - 150538549/1381763*c_1100_0^3 - 99413057/1381763*c_1100_0^2 - 38126105/1381763*c_1100_0 - 6789244/1381763, c_0101_7 - 858444/1381763*c_1100_0^7 - 7762640/1381763*c_1100_0^6 - 41273700/1381763*c_1100_0^5 - 3912727/44573*c_1100_0^4 - 178599140/1381763*c_1100_0^3 - 127684246/1381763*c_1100_0^2 - 49573107/1381763*c_1100_0 - 9811534/1381763, c_0110_16 - 774404/1381763*c_1100_0^7 - 6904964/1381763*c_1100_0^6 - 36362844/1381763*c_1100_0^5 - 3386449/44573*c_1100_0^4 - 148828063/1381763*c_1100_0^3 - 100925834/1381763*c_1100_0^2 - 40734978/1381763*c_1100_0 - 7748069/1381763, c_1001_0 + 443536/1381763*c_1100_0^7 + 3684648/1381763*c_1100_0^6 + 18460144/1381763*c_1100_0^5 + 1544088/44573*c_1100_0^4 + 50997042/1381763*c_1100_0^3 + 13428238/1381763*c_1100_0^2 - 544601/1381763*c_1100_0 - 2847795/1381763, c_1001_15 + 10164/47647*c_1100_0^7 + 87788/47647*c_1100_0^6 + 455788/47647*c_1100_0^5 + 40961/1537*c_1100_0^4 + 1684797/47647*c_1100_0^3 + 997838/47647*c_1100_0^2 + 272761/47647*c_1100_0 + 1619/1643, c_1001_16 + 210716/1381763*c_1100_0^7 + 1688176/1381763*c_1100_0^6 + 8306996/1381763*c_1100_0^5 + 661591/44573*c_1100_0^4 + 19088036/1381763*c_1100_0^3 + 2178890/1381763*c_1100_0^2 - 928060/1381763*c_1100_0 - 2083649/1381763, c_1100_0^8 + 9*c_1100_0^7 + 48*c_1100_0^6 + 567/4*c_1100_0^5 + 859/4*c_1100_0^4 + 693/4*c_1100_0^3 + 181/2*c_1100_0^2 + 109/4*c_1100_0 + 19/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 13450.460 Total time: 13451.059 seconds, Total memory usage: 25461.84MB