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Loading file "K13n3094__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n3094 geometric_solution 10.28227131 oriented_manifold CS_known -0.0000000000000009 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 1 0 -1 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 -7 -1 8 -1 0 1 0 0 0 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.846236674742 0.863095933258 0 5 7 6 0132 0132 0132 0132 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 0 -8 8 1 0 -1 0 -8 8 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417632298400 0.717752427745 8 0 5 9 0132 0132 0132 0132 0 0 0 0 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 7 -7 0 0 0 0 0 -7 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355048536356 0.785237533411 8 6 10 0 2103 2103 0132 0132 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 -1 1 0 0 1 -1 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.644670999515 0.364411150340 9 7 0 6 3201 0132 0132 2103 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 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.425216140574 0.889286757791 10 1 7 2 2103 0132 3201 0132 0 0 0 0 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 0 -7 7 -1 0 1 0 1 -1 0 0 7 -8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.122134087751 0.780598337304 8 3 1 4 3120 2103 0132 2103 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 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.284565034935 1.485711156758 5 4 9 1 2310 0132 0213 0132 0 0 0 0 0 1 0 -1 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 -8 0 8 -1 0 0 1 -1 0 0 1 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.067247821594 1.002005486216 2 10 3 6 0132 2103 2103 3120 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 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.409475557781 1.258745730391 10 7 2 4 0132 0213 0132 2310 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 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.682370149084 1.317402736165 9 8 5 3 0132 2103 2103 0132 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 -1 1 0 0 1 -1 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.706064079163 0.728390153411 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_0'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_10'], 'c_1010_10' : d['c_0011_6'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0101_1']), '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_10' : 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_1100_9' : d['c_0011_4'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : negation(d['c_0110_4']), 'c_1100_6' : negation(d['c_0110_4']), 'c_1100_1' : negation(d['c_0110_4']), 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : d['c_0011_4'], 'c_1100_10' : negation(d['c_0101_2']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0110_4']), 'c_1010_8' : negation(d['c_0011_6']), 'c_1100_8' : negation(d['c_0101_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'], '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_10']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_3'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_1']), '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_0101_3'], 'c_0101_8' : d['c_0101_3'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_1']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_4, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 17177419/1412550*c_1001_1^10 - 138530273/1412550*c_1001_1^9 + 568467277/1412550*c_1001_1^8 - 245756066/235425*c_1001_1^7 + 2399521559/1412550*c_1001_1^6 - 454213996/235425*c_1001_1^5 + 1317259069/706275*c_1001_1^4 - 985691186/706275*c_1001_1^3 + 511184489/706275*c_1001_1^2 - 97113011/470850*c_1001_1 + 20725673/706275, c_0011_0 - 1, c_0011_10 + 2716/3139*c_1001_1^10 - 17352/3139*c_1001_1^9 + 62539/3139*c_1001_1^8 - 140075/3139*c_1001_1^7 + 187812/3139*c_1001_1^6 - 214858/3139*c_1001_1^5 + 190105/3139*c_1001_1^4 - 133130/3139*c_1001_1^3 + 61424/3139*c_1001_1^2 - 22063/3139*c_1001_1 + 1623/3139, c_0011_4 + 987/3139*c_1001_1^10 - 6597/3139*c_1001_1^9 + 24628/3139*c_1001_1^8 - 58209/3139*c_1001_1^7 + 85985/3139*c_1001_1^6 - 105538/3139*c_1001_1^5 + 103654/3139*c_1001_1^4 - 77553/3139*c_1001_1^3 + 47110/3139*c_1001_1^2 - 21763/3139*c_1001_1 + 5630/3139, c_0011_6 - 2491/3139*c_1001_1^10 + 13959/3139*c_1001_1^9 - 45714/3139*c_1001_1^8 + 89958/3139*c_1001_1^7 - 96233/3139*c_1001_1^6 + 120768/3139*c_1001_1^5 - 101215/3139*c_1001_1^4 + 60752/3139*c_1001_1^3 - 32051/3139*c_1001_1^2 + 18304/3139*c_1001_1 + 1187/3139, c_0101_0 - 36/3139*c_1001_1^10 + 794/3139*c_1001_1^9 - 2692/3139*c_1001_1^8 + 3373/3139*c_1001_1^7 + 9706/3139*c_1001_1^6 - 49609/3139*c_1001_1^5 + 69275/3139*c_1001_1^4 - 74177/3139*c_1001_1^3 + 67874/3139*c_1001_1^2 - 43219/3139*c_1001_1 + 10223/3139, c_0101_1 - 987/3139*c_1001_1^10 + 6597/3139*c_1001_1^9 - 24628/3139*c_1001_1^8 + 58209/3139*c_1001_1^7 - 85985/3139*c_1001_1^6 + 105538/3139*c_1001_1^5 - 103654/3139*c_1001_1^4 + 77553/3139*c_1001_1^3 - 47110/3139*c_1001_1^2 + 21763/3139*c_1001_1 - 2491/3139, c_0101_2 - 758/3139*c_1001_1^10 + 2767/3139*c_1001_1^9 - 5760/3139*c_1001_1^8 + 1788/3139*c_1001_1^7 + 16374/3139*c_1001_1^6 + 3009/3139*c_1001_1^5 - 3976/3139*c_1001_1^4 + 11673/3139*c_1001_1^3 - 18303/3139*c_1001_1^2 + 21411/3139*c_1001_1 - 5351/3139, c_0101_3 - 3885/3139*c_1001_1^10 + 23429/3139*c_1001_1^9 - 81245/3139*c_1001_1^8 + 174355/3139*c_1001_1^7 - 221240/3139*c_1001_1^6 + 272758/3139*c_1001_1^5 - 254122/3139*c_1001_1^4 + 178700/3139*c_1001_1^3 - 104754/3139*c_1001_1^2 + 50466/3139*c_1001_1 - 9805/3139, c_0110_4 - 1513/3139*c_1001_1^10 + 9130/3139*c_1001_1^9 - 31176/3139*c_1001_1^8 + 64767/3139*c_1001_1^7 - 75310/3139*c_1001_1^6 + 83657/3139*c_1001_1^5 - 75197/3139*c_1001_1^4 + 51762/3139*c_1001_1^3 - 22905/3139*c_1001_1^2 + 14772/3139*c_1001_1 - 3968/3139, c_1001_0 + 1383/3139*c_1001_1^10 - 9053/3139*c_1001_1^9 + 35406/3139*c_1001_1^8 - 89034/3139*c_1001_1^7 + 148725/3139*c_1001_1^6 - 206473/3139*c_1001_1^5 + 195437/3139*c_1001_1^4 - 162499/3139*c_1001_1^3 + 100941/3139*c_1001_1^2 - 39177/3139*c_1001_1 + 3042/3139, c_1001_1^11 - 6*c_1001_1^10 + 21*c_1001_1^9 - 46*c_1001_1^8 + 62*c_1001_1^7 - 83*c_1001_1^6 + 83*c_1001_1^5 - 66*c_1001_1^4 + 44*c_1001_1^3 - 25*c_1001_1^2 + 7*c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.220 Total time: 0.430 seconds, Total memory usage: 32.09MB