Magma V2.19-8 Tue Aug 20 2013 17:56:15 on localhost [Seed = 4240263987] Type ? for help. Type -D to quit. Loading file "10^2_168__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_168 geometric_solution 10.46230773 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 1 0 1 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 0 0 0 0 0 4 -1 -3 0 0 0 0 4 -4 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637618916786 1.609676413283 0 5 2 2 0132 0132 1302 1023 0 1 1 1 0 0 0 0 0 0 1 -1 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 -1 0 1 0 0 4 -4 0 3 0 -3 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.159269650171 1.333224111673 1 0 6 1 2031 0132 0132 1023 1 0 1 1 0 -1 0 1 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 -4 0 4 0 0 1 -1 -4 1 0 3 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.371395008179 0.427124767552 7 8 9 0 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 -1 1 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 0.637618916786 1.609676413283 5 6 0 9 0213 0132 0132 1302 1 1 1 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 0 0 0 0 0 0 0 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 0 0 0 0 0.336223387347 0.314823521256 4 1 10 10 0213 0132 0132 0321 0 1 1 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 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.825117113959 0.624964169053 11 4 11 2 0132 0132 3120 0132 1 0 1 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 0 0 0 0 0 0 0 0 0 3 -3 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 0.650234227918 1.249928338106 3 8 8 11 0132 1302 1023 1023 0 1 1 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 0 0 0 0 0 0 0 0 0 -3 4 -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 0.371395008179 0.427124767552 10 3 7 7 2031 0132 1023 2031 1 0 1 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 0 0 0 1 0 -4 3 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.159269650171 1.333224111673 11 10 4 3 1023 3012 2031 0132 1 1 1 1 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 0 1 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.336223387347 0.314823521256 9 5 8 5 1230 0321 1302 0132 0 1 1 1 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 -1 1 0 0 0 0 3 0 0 -3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.229869053004 0.583316282270 6 9 6 7 0132 1023 3120 1023 1 0 1 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 0 0 0 0 0 -1 1 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.650234227918 1.249928338106 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_9'], 'c_1001_10' : d['c_0101_8'], 'c_1001_5' : d['c_0110_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : negation(d['c_0101_9']), 'c_1001_1' : d['c_0110_2'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_0101_0'], 'c_1010_11' : d['c_0101_3'], 'c_1010_10' : d['c_0110_2'], 's_3_11' : d['1'], 's_3_10' : 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_3'], '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_2_11' : 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_0101_9'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_8'], 'c_1100_4' : d['c_0101_9'], 'c_1100_7' : d['c_0101_6'], 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : d['c_0101_11'], 'c_1100_0' : d['c_0101_9'], 'c_1100_3' : d['c_0101_9'], 'c_1100_2' : negation(d['c_0101_11']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_6']), 'c_1100_10' : d['c_0101_8'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_6'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_0110_2'], 'c_1010_4' : negation(d['c_0101_9']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0110_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_3']), 'c_1010_8' : negation(d['c_0011_3']), 'c_1100_8' : negation(d['c_0101_6']), '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_11'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_11']), '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_0011_11'], 'c_0110_0' : d['c_0011_0'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_11'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_8'], '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_0110_2'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0101_0, c_0101_11, c_0101_3, c_0101_6, c_0101_8, c_0101_9, c_0110_2, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 1306297/500094*c_1001_2^11 - 29247655/1000188*c_1001_2^10 + 11607391/71442*c_1001_2^9 - 96371677/166698*c_1001_2^8 + 722065591/500094*c_1001_2^7 - 2624724791/1000188*c_1001_2^6 + 124306880/35721*c_1001_2^5 - 3259403717/1000188*c_1001_2^4 + 485812225/250047*c_1001_2^3 - 116994961/250047*c_1001_2^2 - 55380688/250047*c_1001_2 + 88178513/500094, c_0011_0 - 1, c_0011_10 + 1/4*c_1001_2^11 - 3*c_1001_2^10 + 35/2*c_1001_2^9 - 259/4*c_1001_2^8 + 335/2*c_1001_2^7 - 1265/4*c_1001_2^6 + 1769/4*c_1001_2^5 - 1819/4*c_1001_2^4 + 1343/4*c_1001_2^3 - 339/2*c_1001_2^2 + 227/4*c_1001_2 - 47/4, c_0011_11 - c_1001_2^3 + 2*c_1001_2^2 - 3*c_1001_2 + 1, c_0011_3 + 1/2*c_1001_2^10 - 5*c_1001_2^9 + 49/2*c_1001_2^8 - 153/2*c_1001_2^7 + 333/2*c_1001_2^6 - 262*c_1001_2^5 + 299*c_1001_2^4 - 483/2*c_1001_2^3 + 263/2*c_1001_2^2 - 87/2*c_1001_2 + 10, c_0101_0 - 1/4*c_1001_2^11 + 9/4*c_1001_2^10 - 39/4*c_1001_2^9 + 51/2*c_1001_2^8 - 83/2*c_1001_2^7 + 141/4*c_1001_2^6 + 19/2*c_1001_2^5 - 283/4*c_1001_2^4 + 195/2*c_1001_2^3 - 143/2*c_1001_2^2 + 109/4*c_1001_2 - 8, c_0101_11 - 1/4*c_1001_2^11 + 9/4*c_1001_2^10 - 39/4*c_1001_2^9 + 51/2*c_1001_2^8 - 83/2*c_1001_2^7 + 141/4*c_1001_2^6 + 19/2*c_1001_2^5 - 283/4*c_1001_2^4 + 195/2*c_1001_2^3 - 143/2*c_1001_2^2 + 109/4*c_1001_2 - 7, c_0101_3 + 1/2*c_1001_2^11 - 6*c_1001_2^10 + 69/2*c_1001_2^9 - 251/2*c_1001_2^8 + 639/2*c_1001_2^7 - 595*c_1001_2^6 + 823*c_1001_2^5 - 1679/2*c_1001_2^4 + 1229/2*c_1001_2^3 - 613/2*c_1001_2^2 + 97*c_1001_2 - 20, c_0101_6 + 1/4*c_1001_2^11 - 5/2*c_1001_2^10 + 25/2*c_1001_2^9 - 161/4*c_1001_2^8 + 183/2*c_1001_2^7 - 611/4*c_1001_2^6 + 757/4*c_1001_2^5 - 691/4*c_1001_2^4 + 455/4*c_1001_2^3 - 52*c_1001_2^2 + 67/4*c_1001_2 - 11/4, c_0101_8 + 1/4*c_1001_2^11 - 3*c_1001_2^10 + 35/2*c_1001_2^9 - 259/4*c_1001_2^8 + 335/2*c_1001_2^7 - 1265/4*c_1001_2^6 + 1769/4*c_1001_2^5 - 1819/4*c_1001_2^4 + 1339/4*c_1001_2^3 - 335/2*c_1001_2^2 + 215/4*c_1001_2 - 43/4, c_0101_9 - 1/2*c_1001_2^11 + 6*c_1001_2^10 - 139/4*c_1001_2^9 + 255/2*c_1001_2^8 - 1309/4*c_1001_2^7 + 2455/4*c_1001_2^6 - 3413/4*c_1001_2^5 + 1745/2*c_1001_2^4 - 638*c_1001_2^3 + 1265/4*c_1001_2^2 - 401/4*c_1001_2 + 81/4, c_0110_2 - 1, c_1001_2^12 - 12*c_1001_2^11 + 72*c_1001_2^10 - 280*c_1001_2^9 + 778*c_1001_2^8 - 1616*c_1001_2^7 + 2558*c_1001_2^6 - 3092*c_1001_2^5 + 2817*c_1001_2^4 - 1876*c_1001_2^3 + 870*c_1001_2^2 - 260*c_1001_2 + 49 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB