Magma V2.19-8 Tue Aug 20 2013 17:55:55 on localhost [Seed = 2446337653] Type ? for help. Type -D to quit. Loading file "10^2_176__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_176 geometric_solution 9.70718659 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 2 3 0132 0132 2031 0132 0 0 1 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 1 0 -1 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 -0.370413172416 0.562480134698 0 4 6 5 0132 0132 0132 0132 1 0 0 1 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 -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 0.273193049652 0.644964051817 3 0 6 0 3012 0132 1302 1302 0 0 0 1 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 -1 1 0 1 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 0.808764811215 0.979180236927 4 4 0 2 0321 3201 0132 1230 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 1 -1 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 0.254086953966 0.818803499270 3 1 3 7 0321 0132 2310 0132 1 1 1 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 -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 0.654303158552 1.114019350643 8 6 1 7 0132 2103 0132 3201 1 0 1 0 0 1 0 -1 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 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 0.732755325910 0.462173436318 2 5 8 1 2031 2103 0132 0132 1 0 1 0 0 0 0 0 0 0 1 -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 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 1.069896743799 1.606303793762 9 5 4 10 0132 2310 0132 0132 1 1 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 0 0 0 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 0.773812509851 0.737688883784 5 9 10 6 0132 1230 2310 0132 1 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 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 0.773812509851 0.737688883784 7 10 8 10 0132 1023 3012 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.017564229852 1.310335819513 9 8 7 9 1023 3201 0132 2103 1 1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.510835993228 0.253044373921 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_8']), 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0110_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_0011_5'], 'c_1001_8' : d['c_0110_10'], 'c_1010_10' : negation(d['c_0110_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_5'], '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' : negation(d['c_0110_10']), 'c_1100_8' : d['c_0011_10'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_0101_0'], 'c_1100_10' : d['c_0011_3'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_1001_1']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0110_2']), 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0110_10'], 'c_1010_8' : d['c_0011_5'], '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' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_5'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_3']), 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0011_5'], 'c_0110_6' : d['c_0101_1']})} 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_3, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_8, c_0110_10, c_0110_2, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 352/25*c_1001_1^3 - 32*c_1001_1^2 - 552/25*c_1001_1 + 256/25, c_0011_0 - 1, c_0011_10 - 2*c_1001_1^3 - 4*c_1001_1^2 - 3*c_1001_1 + 1, c_0011_3 - c_1001_1^2 - c_1001_1 + 1/2, c_0011_5 + c_1001_1^3 + 3*c_1001_1^2 + 5/2*c_1001_1 - 1/2, c_0011_6 + c_1001_1^3 + 3*c_1001_1^2 + 5/2*c_1001_1 - 3/2, c_0101_0 - 1, c_0101_1 + c_1001_1^3 + 2*c_1001_1^2 + 1/2*c_1001_1 - 1, c_0101_8 + c_1001_1^3 + 2*c_1001_1^2 + 5/2*c_1001_1, c_0110_10 - c_1001_1^3 - 2*c_1001_1^2 - 3/2*c_1001_1, c_0110_2 + 4*c_1001_1^3 + 9*c_1001_1^2 + 6*c_1001_1 - 5/2, c_1001_1^4 + 2*c_1001_1^3 + c_1001_1^2 - c_1001_1 + 1/4 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_8, c_0110_10, c_0110_2, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 3327802046575/34290542288*c_1001_1^6 - 9519500595367/17145271144*c_1001_1^5 - 374501629703/234866728*c_1001_1^4 - 240177648849487/68581084576*c_1001_1^3 - 375928813571105/137162169152*c_1001_1^2 + 168173573119757/34290542288*c_1001_1 - 46216785000531/17145271144, c_0011_0 - 1, c_0011_10 + 982313/48160874*c_1001_1^6 + 2934555/24080437*c_1001_1^5 + 123825/329869*c_1001_1^4 + 83599289/96321748*c_1001_1^3 + 187757103/192643496*c_1001_1^2 - 25701436/24080437*c_1001_1 + 1409683/24080437, c_0011_3 - 18576/24080437*c_1001_1^6 + 297612/24080437*c_1001_1^5 + 20712/329869*c_1001_1^4 + 7392720/24080437*c_1001_1^3 + 17944612/24080437*c_1001_1^2 + 5313926/24080437*c_1001_1 - 5893878/24080437, c_0011_5 + 371845/24080437*c_1001_1^6 + 2396038/24080437*c_1001_1^5 + 91282/329869*c_1001_1^4 + 26909489/48160874*c_1001_1^3 + 36458259/96321748*c_1001_1^2 - 18027295/24080437*c_1001_1 + 1366339/24080437, c_0011_6 - 243281/24080437*c_1001_1^6 - 2029092/24080437*c_1001_1^5 - 99954/329869*c_1001_1^4 - 39388605/48160874*c_1001_1^3 - 125630547/96321748*c_1001_1^2 - 7591799/48160874*c_1001_1 - 3913531/24080437, c_0101_0 - 1, c_0101_1 - 458599/48160874*c_1001_1^6 - 1203075/24080437*c_1001_1^5 - 44583/329869*c_1001_1^4 - 34392959/96321748*c_1001_1^3 - 80052905/192643496*c_1001_1^2 + 205945/48160874*c_1001_1 - 15682711/24080437, c_0101_8 - 2209441/48160874*c_1001_1^6 - 6358025/24080437*c_1001_1^5 - 276741/329869*c_1001_1^4 - 192050409/96321748*c_1001_1^3 - 402214143/192643496*c_1001_1^2 + 79791273/48160874*c_1001_1 - 3845023/24080437, c_0110_10 - 196742/24080437*c_1001_1^6 - 674670/24080437*c_1001_1^5 - 9924/329869*c_1001_1^4 - 4894897/24080437*c_1001_1^3 - 13100403/48160874*c_1001_1^2 - 2624163/48160874*c_1001_1 + 2522424/24080437, c_0110_2 - 2931459/48160874*c_1001_1^6 - 8927670/24080437*c_1001_1^5 - 380105/329869*c_1001_1^4 - 263119067/96321748*c_1001_1^3 - 590979433/192643496*c_1001_1^2 + 114944005/96321748*c_1001_1 - 37893922/24080437, c_1001_1^7 + 6*c_1001_1^6 + 18*c_1001_1^5 + 81/2*c_1001_1^4 + 151/4*c_1001_1^3 - 44*c_1001_1^2 + 12*c_1001_1 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB