Magma V2.19-8 Mon Sep 9 2013 19:28:16 on localhost [Seed = 3250440758] Type ? for help. Type -D to quit. Loading file "10^2_45__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_45 geometric_solution 15.42609666 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 16 1 2 2 3 0132 0132 3201 0132 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 1 -1 -3 0 1 2 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.948637778368 0.750591844851 0 2 5 4 0132 0213 0132 0132 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 3 0 -3 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 0.739027596377 0.813128634988 0 0 1 3 2310 0132 0213 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.351714178566 0.512943993795 4 5 0 2 0132 0132 0132 0213 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 -1 1 0 2 0 -2 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 0.739027596377 0.813128634988 3 6 1 7 0132 0132 0132 0132 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 -2 0 0 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 0.595192579983 0.987405329167 7 3 6 1 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 -3 3 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.595192579983 0.987405329167 8 4 9 5 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 0 -1 1 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563123917326 0.585670962710 5 10 4 11 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 0 0 0 0 0 -2 2 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563123917326 0.585670962710 6 10 11 12 0132 1023 2103 0132 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 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 0.639677972808 0.792475826855 13 10 11 6 0132 0321 0132 0132 0 0 0 1 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 0 1 -1 0 -2 3 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.639677972808 0.792475826855 8 7 14 9 1023 0132 0132 0321 0 1 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 -1 1 -1 0 0 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 0.639677972808 0.792475826855 8 15 7 9 2103 0132 0132 0132 0 0 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 0 0 -2 2 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.639677972808 0.792475826855 13 14 8 15 2103 1023 0132 3120 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 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 1.000000000000 1.000000000000 9 14 12 15 0132 0213 2103 0132 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 1 -1 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 1.000000000000 1.000000000000 12 15 13 10 1023 0321 0213 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 -1 1 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 1.000000000000 1.000000000000 12 11 13 14 3120 0132 0132 0321 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 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 1.000000000000 1.000000000000 ==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_12'], 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_13' : d['c_0011_12'], 'c_1001_12' : d['c_0011_13'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_6'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_15'], 'c_1001_8' : d['c_0011_11'], 'c_1010_13' : d['c_1001_15'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : d['c_1001_15'], 'c_1010_10' : d['c_1001_6'], 'c_1010_15' : d['c_1001_10'], 'c_1010_14' : d['c_1001_10'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_11'], 'c_0101_15' : d['c_0101_15'], 'c_0101_14' : d['c_0011_13'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_2_14' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(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' : negation(d['c_0011_11']), 'c_0011_14' : d['c_0011_12'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_15']), 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_1001_4'], 'c_1100_15' : d['c_0011_12'], 'c_1100_14' : d['c_1001_15'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1001_15'], 'c_1100_13' : d['c_0011_12'], 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_1001_4'], 'c_1010_5' : d['c_1001_1'], 's_0_13' : d['1'], 'c_1010_3' : d['c_1001_4'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_1'], 's_3_15' : d['1'], 'c_1010_9' : d['c_1001_6'], 's_0_15' : negation(d['1']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0101_15']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(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_3_11' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_13']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_10'], 'c_0101_13' : d['c_0101_12'], 'c_0011_6' : negation(d['c_0011_10']), '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' : d['c_0101_15'], 'c_0110_10' : d['c_0011_13'], 'c_0110_13' : d['c_0101_15'], 'c_0110_12' : negation(d['c_0011_12']), 'c_0110_15' : negation(d['c_0011_12']), 'c_0110_14' : d['c_0011_11'], 'c_1010_4' : d['c_1001_6'], 'c_0101_12' : d['c_0101_12'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 's_0_8' : negation(d['1']), 's_2_15' : d['1'], 'c_1010_8' : d['c_0011_13'], 'c_0101_7' : d['c_0101_1'], 'c_0101_6' : d['c_0101_12'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_15'], 'c_0101_8' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10'], 's_1_15' : negation(d['1']), 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_15, c_1001_1, c_1001_10, c_1001_15, c_1001_4, c_1001_6, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 1693/12250*c_1001_6*c_1100_1^5 - 1493/49000*c_1001_6*c_1100_1^4 - 44791/49000*c_1001_6*c_1100_1^3 - 16769/6125*c_1001_6*c_1100_1^2 - 34577/12250*c_1001_6*c_1100_1 - 117977/49000*c_1001_6 + 1961/9800*c_1100_1^5 + 5961/9800*c_1100_1^4 + 4961/4900*c_1100_1^3 + 2867/4900*c_1100_1^2 + 2251/9800*c_1100_1 - 597/1225, c_0011_0 - 1, c_0011_10 + c_1100_1, c_0011_11 - 1, c_0011_12 - 3/5*c_1001_6*c_1100_1^5 - 8/5*c_1001_6*c_1100_1^4 - 11/5*c_1001_6*c_1100_1^3 - 2/5*c_1001_6*c_1100_1^2 + 2/5*c_1001_6*c_1100_1 + 8/5*c_1001_6 - c_1100_1^4 - 3*c_1100_1^3 - 6*c_1100_1^2 - 6*c_1100_1 - 5, c_0011_13 - 3/5*c_1001_6*c_1100_1^5 - 18/5*c_1001_6*c_1100_1^4 - 46/5*c_1001_6*c_1100_1^3 - 67/5*c_1001_6*c_1100_1^2 - 58/5*c_1001_6*c_1100_1 - 32/5*c_1001_6, c_0101_0 + 7/5*c_1001_6*c_1100_1^5 + 22/5*c_1001_6*c_1100_1^4 + 39/5*c_1001_6*c_1100_1^3 + 28/5*c_1001_6*c_1100_1^2 + 17/5*c_1001_6*c_1100_1 - 12/5*c_1001_6, c_0101_1 - c_1100_1^5 - 3*c_1100_1^4 - 5*c_1100_1^3 - 3*c_1100_1^2 - 2*c_1100_1 + 3, c_0101_11 - c_1001_6, c_0101_12 - 2*c_1100_1^4 - 6*c_1100_1^3 - 12*c_1100_1^2 - 12*c_1100_1 - 10, c_0101_15 - 1, c_1001_1 - 7/5*c_1001_6*c_1100_1^5 - 22/5*c_1001_6*c_1100_1^4 - 39/5*c_1001_6*c_1100_1^3 - 28/5*c_1001_6*c_1100_1^2 - 17/5*c_1001_6*c_1100_1 + 12/5*c_1001_6, c_1001_10 - 2*c_1100_1^4 - 6*c_1100_1^3 - 12*c_1100_1^2 - 12*c_1100_1 - 10, c_1001_15 - 3/5*c_1001_6*c_1100_1^5 - 18/5*c_1001_6*c_1100_1^4 - 46/5*c_1001_6*c_1100_1^3 - 67/5*c_1001_6*c_1100_1^2 - 58/5*c_1001_6*c_1100_1 - 32/5*c_1001_6, c_1001_4 - c_1100_1^5 - 3*c_1100_1^4 - 5*c_1100_1^3 - 3*c_1100_1^2 - 2*c_1100_1 + 3, c_1001_6^2 + 4*c_1100_1^4 + 12*c_1100_1^3 + 21*c_1100_1^2 + 20*c_1100_1 + 16, c_1100_1^6 + 4*c_1100_1^5 + 10*c_1100_1^4 + 15*c_1100_1^3 + 18*c_1100_1^2 + 12*c_1100_1 + 7 ], Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_15, c_1001_1, c_1001_10, c_1001_15, c_1001_4, c_1001_6, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 10633/1916928*c_1001_6*c_1100_1^6 - 13867/479232*c_1001_6*c_1100_1^5 - 1961/958464*c_1001_6*c_1100_1^4 + 70001/1916928*c_1001_6*c_1100_1^3 - 84937/958464*c_1001_6*c_1100_1^2 - 20269/479232*c_1001_6*c_1100_1 + 171761/1916928*c_1001_6 + 163/9216*c_1100_1^6 + 121/2304*c_1100_1^5 - 61/4608*c_1100_1^4 - 155/9216*c_1100_1^3 + 739/4608*c_1100_1^2 + 79/2304*c_1100_1 - 539/9216, c_0011_0 - 1, c_0011_10 + c_1100_1, c_0011_11 - 1, c_0011_12 - 73/416*c_1001_6*c_1100_1^6 - 19/104*c_1001_6*c_1100_1^5 + 23/208*c_1001_6*c_1100_1^4 - 111/416*c_1001_6*c_1100_1^3 - 105/208*c_1001_6*c_1100_1^2 + 3/104*c_1001_6*c_1100_1 - 79/416*c_1001_6 + 11/26*c_1100_1^6 + 10/13*c_1100_1^5 - 4/13*c_1100_1^4 - 5/26*c_1100_1^3 + 29/13*c_1100_1^2 + 8/13*c_1100_1 - 49/26, c_0011_13 + 43/208*c_1001_6*c_1100_1^6 + 29/52*c_1001_6*c_1100_1^5 - 5/104*c_1001_6*c_1100_1^4 - 3/208*c_1001_6*c_1100_1^3 + 163/104*c_1001_6*c_1100_1^2 + 31/52*c_1001_6*c_1100_1 - 227/208*c_1001_6, c_0101_0 + 25/104*c_1001_6*c_1100_1^6 + 9/26*c_1001_6*c_1100_1^5 - 15/52*c_1001_6*c_1100_1^4 - 9/104*c_1001_6*c_1100_1^3 + 73/52*c_1001_6*c_1100_1^2 + 15/26*c_1001_6*c_1100_1 - 161/104*c_1001_6, c_0101_1 + 8/13*c_1100_1^6 + 11/13*c_1100_1^5 - 7/13*c_1100_1^4 + 7/13*c_1100_1^3 + 41/13*c_1100_1^2 + 14/13*c_1100_1 - 25/13, c_0101_11 - c_1001_6, c_0101_12 - 11/13*c_1100_1^6 - 20/13*c_1100_1^5 + 8/13*c_1100_1^4 + 5/13*c_1100_1^3 - 58/13*c_1100_1^2 - 16/13*c_1100_1 + 49/13, c_0101_15 + 1, c_1001_1 - 25/104*c_1001_6*c_1100_1^6 - 9/26*c_1001_6*c_1100_1^5 + 15/52*c_1001_6*c_1100_1^4 + 9/104*c_1001_6*c_1100_1^3 - 73/52*c_1001_6*c_1100_1^2 - 15/26*c_1001_6*c_1100_1 + 161/104*c_1001_6, c_1001_10 - 11/13*c_1100_1^6 - 20/13*c_1100_1^5 + 8/13*c_1100_1^4 + 5/13*c_1100_1^3 - 58/13*c_1100_1^2 - 16/13*c_1100_1 + 49/13, c_1001_15 - 43/208*c_1001_6*c_1100_1^6 - 29/52*c_1001_6*c_1100_1^5 + 5/104*c_1001_6*c_1100_1^4 + 3/208*c_1001_6*c_1100_1^3 - 163/104*c_1001_6*c_1100_1^2 - 31/52*c_1001_6*c_1100_1 + 227/208*c_1001_6, c_1001_4 + 8/13*c_1100_1^6 + 11/13*c_1100_1^5 - 7/13*c_1100_1^4 + 7/13*c_1100_1^3 + 41/13*c_1100_1^2 + 14/13*c_1100_1 - 25/13, c_1001_6^2 + 3/13*c_1100_1^6 - 4/13*c_1100_1^5 - 14/13*c_1100_1^4 + 1/13*c_1100_1^3 - 9/13*c_1100_1^2 - 24/13*c_1100_1 - 11/13, c_1100_1^7 + c_1100_1^6 - 2*c_1100_1^5 + c_1100_1^4 + 5*c_1100_1^3 - 2*c_1100_1^2 - 5*c_1100_1 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.500 seconds, Total memory usage: 32.09MB