Magma V2.19-8 Wed Aug 21 2013 00:58:29 on localhost [Seed = 3920622440] Type ? for help. Type -D to quit. Loading file "L13n55__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n55 geometric_solution 12.29267017 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 3012 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 -1 3 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 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.547774746792 0.807651825763 0 0 5 4 0132 1230 0132 0132 1 1 0 1 0 0 1 -1 0 0 0 0 2 -3 0 1 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 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.527801614307 0.942627450396 4 0 5 4 0132 0132 2103 2031 1 1 0 1 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 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 0.424823043571 0.848054280920 4 6 0 7 3012 0132 0132 0132 1 1 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 0 0 0 0 0 1 -1 4 0 0 -4 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.461278554962 0.720546001467 2 2 1 3 0132 1302 0132 1230 1 1 1 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 1 3 -4 -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 0.527801614307 0.942627450396 2 8 7 1 2103 0132 1302 0132 1 1 1 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 0 0 0 0 0 0 0 0 3 0 -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 0.369807430130 0.984400275039 7 3 9 8 1023 0132 0132 3120 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 0 0 1 0 -1 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 0.038824194040 0.813931321048 5 6 3 10 2031 1023 0132 0132 1 1 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 -1 1 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.216794880723 1.272265311534 6 5 10 11 3120 0132 1230 0132 1 1 1 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 0 0 0 0 0 0 0 0 -3 0 3 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 0.496595383605 0.840103972989 12 12 11 6 0132 1230 1230 0132 1 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 0 0 0 0 0 -1 1 1 0 0 -1 -1 4 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.227544433563 0.526659074269 12 11 7 8 3012 1023 0132 3012 1 1 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 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.731327284641 0.352758110144 10 12 8 9 1023 0132 0132 3012 1 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 0 0 0 0 0 0 0 0 -3 3 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 0.534209810957 0.462463575526 9 11 9 10 0132 0132 3012 1230 1 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 0 0 0 0 0 0 0 0 -4 4 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 0.308682891777 1.600076180909 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0101_11'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_0101_12'], 'c_1001_6' : d['c_0101_12'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_5'], 'c_1001_9' : negation(d['c_0110_10']), 'c_1001_8' : d['c_1001_1'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0101_8']), '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' : negation(d['1']), 's_2_4' : negation(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' : negation(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' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0101_7'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : negation(d['c_1001_1']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : d['c_0101_7'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0101_1']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0110_10'], 'c_1100_10' : negation(d['c_1001_1']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_12'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_0011_5'], 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : d['c_0101_10'], 'c_1100_8' : d['c_0110_10'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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_0110_10'], '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_3']), 'c_0011_6' : negation(d['c_0011_3']), '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' : negation(d['c_0101_8']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_12'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], '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_12'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_8']), 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_11']})} 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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_7, c_0101_8, c_0110_10, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 8034185017032704/101070125*c_1001_1^15 - 53572932529553408/101070125*c_1001_1^14 - 36102878938529792/20214025*c_1001_1^13 - 402447899335589888/101070125*c_1001_1^12 - 656993000256176128/101070125*c_1001_1^11 - 826144695090413568/101070125*c_1001_1^10 - 822341791824216064/101070125*c_1001_1^9 - 131420239108767744/20214025*c_1001_1^8 - 423586675926499328/101070125*c_1001_1^7 - 219660188988080128/101070125*c_1001_1^6 - 90662852776280064/101070125*c_1001_1^5 - 29180531271286784/101070125*c_1001_1^4 - 543909338005504/7774625*c_1001_1^3 - 1214642772803584/101070125*c_1001_1^2 - 131922954093568/101070125*c_1001_1 - 55448511488/808561, c_0011_0 - 1, c_0011_10 + 256*c_1001_1^9 + 1024*c_1001_1^8 + 2112*c_1001_1^7 + 2816*c_1001_1^6 + 2608*c_1001_1^5 + 1728*c_1001_1^4 + 808*c_1001_1^3 + 256*c_1001_1^2 + 49*c_1001_1 + 4, c_0011_3 + c_1001_1, c_0011_5 + 16384*c_1001_1^15 + 98304*c_1001_1^14 + 299008*c_1001_1^13 + 598016*c_1001_1^12 + 864256*c_1001_1^11 + 942080*c_1001_1^10 + 786176*c_1001_1^9 + 498176*c_1001_1^8 + 229376*c_1001_1^7 + 65792*c_1001_1^6 + 2144*c_1001_1^5 - 8704*c_1001_1^4 - 4832*c_1001_1^3 - 1408*c_1001_1^2 - 233*c_1001_1 - 18, c_0101_0 + 32768*c_1001_1^15 + 212992*c_1001_1^14 + 704512*c_1001_1^13 + 1544192*c_1001_1^12 + 2478080*c_1001_1^11 + 3059712*c_1001_1^10 + 2983936*c_1001_1^9 + 2328320*c_1001_1^8 + 1458432*c_1001_1^7 + 729600*c_1001_1^6 + 287360*c_1001_1^5 + 86752*c_1001_1^4 + 19168*c_1001_1^3 + 2848*c_1001_1^2 + 240*c_1001_1 + 7, c_0101_1 - 1, c_0101_10 + 2*c_1001_1^2 + 2*c_1001_1 + 1, c_0101_11 - 4096*c_1001_1^13 - 24576*c_1001_1^12 - 74752*c_1001_1^11 - 149504*c_1001_1^10 - 216832*c_1001_1^9 - 239104*c_1001_1^8 - 205184*c_1001_1^7 - 138240*c_1001_1^6 - 72928*c_1001_1^5 - 29696*c_1001_1^4 - 9060*c_1001_1^3 - 1960*c_1001_1^2 - 269*c_1001_1 - 18, c_0101_12 + 2*c_1001_1^2 + 2*c_1001_1 + 1, c_0101_7 - 16384*c_1001_1^15 - 98304*c_1001_1^14 - 299008*c_1001_1^13 - 598016*c_1001_1^12 - 864256*c_1001_1^11 - 942080*c_1001_1^10 - 786176*c_1001_1^9 - 498176*c_1001_1^8 - 229376*c_1001_1^7 - 65792*c_1001_1^6 - 2144*c_1001_1^5 + 8704*c_1001_1^4 + 4832*c_1001_1^3 + 1408*c_1001_1^2 + 233*c_1001_1 + 18, c_0101_8 + 2048*c_1001_1^12 + 10240*c_1001_1^11 + 26624*c_1001_1^10 + 46080*c_1001_1^9 + 58112*c_1001_1^8 + 55808*c_1001_1^7 + 41600*c_1001_1^6 + 24192*c_1001_1^5 + 10888*c_1001_1^4 + 3704*c_1001_1^3 + 908*c_1001_1^2 + 144*c_1001_1 + 11, c_0110_10 + 16*c_1001_1^5 + 32*c_1001_1^4 + 36*c_1001_1^3 + 24*c_1001_1^2 + 9*c_1001_1 + 2, c_1001_1^16 + 7*c_1001_1^15 + 25*c_1001_1^14 + 119/2*c_1001_1^13 + 209/2*c_1001_1^12 + 1141/8*c_1001_1^11 + 2491/16*c_1001_1^10 + 1105/8*c_1001_1^9 + 6423/64*c_1001_1^8 + 7651/128*c_1001_1^7 + 7431/256*c_1001_1^6 + 1453/128*c_1001_1^5 + 1791/512*c_1001_1^4 + 839/1024*c_1001_1^3 + 281/2048*c_1001_1^2 + 15/1024*c_1001_1 + 25/32768 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.860 Total time: 2.060 seconds, Total memory usage: 32.09MB