Magma V2.19-8 Tue Aug 20 2013 23:51:24 on localhost [Seed = 3170555859] Type ? for help. Type -D to quit. Loading file "K12n105__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n105 geometric_solution 11.89133678 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 0321 0132 0 0 0 0 0 0 0 0 1 0 0 -1 -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 1 0 -1 -12 0 0 12 13 0 0 -13 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.440841797087 0.852427546255 0 4 5 5 0132 0132 2031 0132 0 0 0 0 0 0 0 0 -1 0 0 1 -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 0 0 0 12 0 0 -12 13 -13 0 0 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489710573860 0.804473777294 6 0 0 7 0132 0132 0321 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 -1 0 1 0 0 0 0 0 -13 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.440841797087 0.852427546255 5 8 0 9 1230 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 1 -1 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 -12 12 0 0 0 0 0 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.660874245430 0.828096629444 10 1 8 7 0132 0132 2103 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -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 1 0 0 -1 0 -13 0 13 -12 13 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.277902471498 0.716478064775 11 3 1 1 0132 3012 0132 1302 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 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.362427547030 0.773223449936 2 10 12 11 0132 0132 0132 0213 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 1 -1 0 0 0 0 0 0 0 0 0 0 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.899362117234 0.645417930775 9 8 2 4 3201 1302 0132 1023 0 0 0 0 0 0 0 0 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 0 0 -1 1 0 0 0 0 13 0 0 -13 0 13 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.164672465611 0.519117633489 4 3 10 7 2103 0132 3120 2031 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 0 0 0 0 0 0 0 13 0 -13 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.288839867945 0.501606939402 12 11 3 7 0213 1230 0132 2310 0 0 0 0 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 12 1 -13 12 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.120277232066 0.462673994889 4 6 8 12 0132 0132 3120 3012 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 -1 0 0 1 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428722285942 1.285634625612 5 12 9 6 0132 0132 3012 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 0 0 0 12 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.134963341200 0.582066393081 9 11 10 6 0213 0132 1230 0132 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 -1 1 0 0 0 0 -12 0 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.671699290564 0.882800756695 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_9']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0101_4'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0110_8'], 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : negation(d['c_0101_11']), 'c_1001_0' : d['c_0110_8'], 'c_1001_3' : d['c_0011_7'], 'c_1001_2' : d['c_0011_7'], 'c_1001_9' : negation(d['c_1001_10']), 'c_1001_8' : negation(d['c_1001_10']), 'c_1010_12' : negation(d['c_0011_9']), 'c_1010_11' : d['c_0101_4'], 'c_1010_10' : negation(d['c_0011_9']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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_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' : 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_7'], 'c_1100_8' : negation(d['c_0101_10']), 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : negation(d['c_0110_8']), 'c_1100_7' : d['c_0110_8'], 'c_1100_6' : d['c_0101_4'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0011_7'], 'c_1100_3' : d['c_0011_7'], 'c_1100_2' : d['c_0110_8'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_10'], 'c_1100_10' : negation(d['c_0101_4']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_11']), 'c_1010_3' : negation(d['c_1001_10']), 'c_1010_2' : d['c_0110_8'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0011_7'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_0011_7'], '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'], 'c_1100_12' : d['c_0101_4'], '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_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_0'], 'c_0110_10' : d['c_0101_4'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0011_9'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_4'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_6']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0011_11']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0101_11']), 'c_0110_6' : negation(d['c_0101_0'])})} 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_11, c_0011_3, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_4, c_0101_6, c_0110_8, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 3566128801332/83*c_1001_10^5 - 7180346450114/83*c_1001_10^4 - 11299746834797/166*c_1001_10^3 - 4403368000259/166*c_1001_10^2 - 427047943084/83*c_1001_10 - 33222743860/83, c_0011_0 - 1, c_0011_11 - 2214*c_1001_10^5 - 5406*c_1001_10^4 - 4927*c_1001_10^3 - 2082*c_1001_10^2 - 407*c_1001_10 - 29, c_0011_3 - 1722*c_1001_10^5 - 3986*c_1001_10^4 - 3406*c_1001_10^3 - 1330*c_1001_10^2 - 234*c_1001_10 - 14, c_0011_7 - 984*c_1001_10^5 - 2348*c_1001_10^4 - 2114*c_1001_10^3 - 911*c_1001_10^2 - 193*c_1001_10 - 16, c_0011_9 + 861*c_1001_10^5 + 2362*c_1001_10^4 + 2522*c_1001_10^3 + 1311*c_1001_10^2 + 332*c_1001_10 + 33, c_0101_0 - 2460*c_1001_10^5 - 6116*c_1001_10^4 - 5749*c_1001_10^3 - 2574*c_1001_10^2 - 561*c_1001_10 - 49, c_0101_1 - 738*c_1001_10^5 - 2007*c_1001_10^4 - 2111*c_1001_10^3 - 1065*c_1001_10^2 - 254*c_1001_10 - 23, c_0101_10 - c_1001_10 - 1, c_0101_11 - c_1001_10 - 1, c_0101_4 - 861*c_1001_10^5 - 2362*c_1001_10^4 - 2522*c_1001_10^3 - 1311*c_1001_10^2 - 332*c_1001_10 - 33, c_0101_6 - 1353*c_1001_10^5 - 3044*c_1001_10^4 - 2405*c_1001_10^3 - 771*c_1001_10^2 - 75*c_1001_10 + 4, c_0110_8 - 369*c_1001_10^4 - 819*c_1001_10^3 - 646*c_1001_10^2 - 215*c_1001_10 - 26, c_1001_10^6 + 355/123*c_1001_10^5 + 137/41*c_1001_10^4 + 2*c_1001_10^3 + 27/41*c_1001_10^2 + 14/123*c_1001_10 + 1/123 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 8.510 Total time: 8.720 seconds, Total memory usage: 84.06MB