Magma V2.19-8 Wed Aug 21 2013 01:10:28 on localhost [Seed = 4594165] Type ? for help. Type -D to quit. Loading file "L14n53451__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n53451 geometric_solution 12.27378513 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 2 2 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 0 0 0 0 0 0 0 0 1 0 -1 -1 0 0 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617563693857 0.904767242267 0 5 7 6 0132 0132 0132 0132 2 0 2 2 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 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 0.220023024835 0.692966139682 7 0 9 8 2103 0132 0132 0132 1 0 2 2 0 1 0 -1 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 -1 -1 2 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 0.617563693857 0.904767242267 9 10 11 0 0132 0132 0132 0132 1 0 2 2 0 0 0 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 0 0 0 0 0 0 0 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 0.753979815281 0.514641266909 8 10 0 6 0132 0321 0132 2103 1 0 2 2 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 1 1 0 0 -1 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 0.617563693857 0.904767242267 7 1 10 12 1230 0132 2103 0132 2 2 2 2 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 -0.377710357114 1.530552858373 9 11 1 4 2103 2103 0132 2103 2 0 1 2 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 1 -1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.756097490644 1.581654655435 11 5 2 1 0132 3012 2103 0132 2 0 2 2 0 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.716517754433 0.636586153326 4 12 2 11 0132 2310 0132 0132 1 0 2 2 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 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 0.617563693857 0.904767242267 3 12 6 2 0132 2031 2103 0132 1 0 2 2 0 0 0 0 -1 0 0 1 -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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.753979815281 0.514641266909 5 3 12 4 2103 0132 2310 0321 1 2 2 2 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 -2 2 0 0 0 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.716517754433 0.636586153326 7 6 8 3 0132 2103 0132 0132 1 0 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.753979815281 0.514641266909 9 10 5 8 1302 3201 0132 3201 2 2 1 2 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 -1 1 0 1 0 0 -1 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.220023024835 0.692966139682 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0110_6'], 'c_1001_11' : d['c_0011_6'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : negation(d['c_0101_10']), 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_0011_12'], 'c_1001_7' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : negation(d['c_0101_10']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_1001_0']), 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : d['c_1001_3'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : 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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0110_6']), 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : negation(d['c_0110_6']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0110_6']), 'c_1100_11' : negation(d['c_0110_6']), 'c_1100_10' : d['c_0011_12'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : negation(d['c_1001_3']), 'c_1010_5' : negation(d['c_0101_10']), 'c_1010_4' : d['c_1001_3'], '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_0011_12'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : d['c_0011_6'], 's_3_1' : negation(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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_4'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_2'], 'c_0110_10' : negation(d['c_0011_4']), 'c_0110_12' : negation(d['c_0011_6']), 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_2'], '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_0'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_1'], '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_8'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0110_6']), 's_2_9' : negation(d['1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_8, c_0110_6, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 4911335/37968*c_1001_3^7 + 24843323/53788*c_1001_3^6 - 1480537/2712*c_1001_3^5 + 116725701/215152*c_1001_3^4 - 140793151/215152*c_1001_3^3 + 25491061/322728*c_1001_3^2 + 1196857/26894*c_1001_3 - 13746085/92208, c_0011_0 - 1, c_0011_10 + 16745/18984*c_1001_3^7 - 27121/9492*c_1001_3^6 + 47083/18984*c_1001_3^5 - 43411/18984*c_1001_3^4 + 84577/18984*c_1001_3^3 - 1717/2373*c_1001_3^2 - 1081/18984*c_1001_3 - 10915/6328, c_0011_12 - 799/3164*c_1001_3^7 + 8219/9492*c_1001_3^6 - 17977/18984*c_1001_3^5 + 29375/18984*c_1001_3^4 - 6553/2373*c_1001_3^3 + 2617/2373*c_1001_3^2 - 20791/18984*c_1001_3 + 15553/18984, c_0011_4 - 8347/9492*c_1001_3^7 + 10939/3164*c_1001_3^6 - 36397/9492*c_1001_3^5 + 4811/1582*c_1001_3^4 - 19305/3164*c_1001_3^3 + 8543/9492*c_1001_3^2 - 139/3164*c_1001_3 + 4472/2373, c_0011_6 - 2635/9492*c_1001_3^7 + 18329/18984*c_1001_3^6 - 19225/18984*c_1001_3^5 + 12059/9492*c_1001_3^4 - 7003/4746*c_1001_3^3 - 1987/2712*c_1001_3^2 - 6383/18984*c_1001_3 - 443/1582, c_0101_0 - 1, c_0101_1 - 4679/18984*c_1001_3^7 + 126269/161364*c_1001_3^6 - 5603/9492*c_1001_3^5 + 268157/322728*c_1001_3^4 - 530141/322728*c_1001_3^3 - 23578/40341*c_1001_3^2 + 7729/40341*c_1001_3 + 1153/6328, c_0101_10 + 8347/18984*c_1001_3^7 - 10939/6328*c_1001_3^6 + 36397/18984*c_1001_3^5 - 4811/3164*c_1001_3^4 + 19305/6328*c_1001_3^3 - 8543/18984*c_1001_3^2 + 139/6328*c_1001_3 - 6845/4746, c_0101_2 - 353/3164*c_1001_3^7 + 23651/80682*c_1001_3^6 - 6967/18984*c_1001_3^5 + 285487/322728*c_1001_3^4 - 36893/40341*c_1001_3^3 + 4487/23052*c_1001_3^2 - 510137/322728*c_1001_3 + 5437/18984, c_0101_8 - 275/452*c_1001_3^7 + 96869/53788*c_1001_3^6 - 956/791*c_1001_3^5 + 2213/1921*c_1001_3^4 - 105719/53788*c_1001_3^3 - 35165/53788*c_1001_3^2 - 18197/26894*c_1001_3 - 449/1582, c_0110_6 - 115/18984*c_1001_3^7 + 961/11526*c_1001_3^6 - 2257/6328*c_1001_3^5 + 115609/161364*c_1001_3^4 - 51581/46104*c_1001_3^3 + 22689/13447*c_1001_3^2 - 415279/322728*c_1001_3 + 6047/9492, c_1001_0 - 1, c_1001_3^8 - 56/17*c_1001_3^7 + 60/17*c_1001_3^6 - 72/17*c_1001_3^5 + 98/17*c_1001_3^4 - 24/17*c_1001_3^3 + 36/17*c_1001_3^2 - 8/17*c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB