Magma V2.19-8 Wed Aug 21 2013 00:54:49 on localhost [Seed = 3634283165] Type ? for help. Type -D to quit. Loading file "L12n63__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n63 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 3 1 0132 0132 0132 2031 1 1 0 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 0 0 0 0 0 1 -1 -1 0 1 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 0.575176956429 0.848054280920 0 0 5 4 0132 1302 0132 0132 1 1 1 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 0 -1 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452225253208 0.807651825763 5 0 5 4 0132 0132 3012 3120 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 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 0.472198385693 0.942627450396 5 6 7 0 2031 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 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 0.630192569870 0.984400275039 2 8 1 7 3120 0132 0132 1230 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 -1 0 1 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 0.334424805211 0.890214320773 2 2 3 1 0132 1230 1302 0132 1 1 0 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 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 0.452225253208 0.807651825763 9 3 8 10 0132 0132 2103 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 -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 0.475177860901 0.875846485731 4 9 8 3 3012 0132 2031 0132 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 -1 0 2 -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 0.392609615234 0.410507639661 6 4 11 7 2103 0132 0132 1302 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 1 1 -2 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 0.961175805960 0.813931321048 6 7 12 10 0132 0132 0132 0213 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 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 1.109285333432 0.535067412430 11 12 6 9 0213 0132 0132 0213 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 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 0 0 0 0.465790189043 0.462463575526 10 12 12 8 0213 3012 3120 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 1 0 -1 -1 0 0 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 0.116241585748 0.602545192954 11 10 11 9 1230 0132 3120 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 -1 1 0 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 0.772455566437 0.526659074269 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0110_8']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : negation(d['c_0101_12']), 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : negation(d['c_0011_10']), '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_0011_10'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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_1100_9' : negation(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_3'], 'c_1100_4' : d['c_0101_3'], 'c_1100_7' : negation(d['c_1001_4']), 'c_1100_6' : negation(d['c_0110_8']), 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0101_0']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : negation(d['c_0110_8']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_12']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0110_8']), 'c_1010_8' : d['c_1001_4'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['c_0011_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_3'], '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_3']), 'c_0110_6' : 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' : negation(d['c_0101_6']), 'c_0110_12' : d['c_0011_11'], 'c_0101_12' : d['c_0101_12'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_12']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : d['c_0101_6'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_3'], 'c_1100_8' : negation(d['c_0101_12'])})} 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_11, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_12, c_0101_3, c_0101_6, c_0110_8, c_1001_10, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 8034185017032704/101070125*c_1001_4^15 + 53572932529553408/101070125*c_1001_4^14 + 36102878938529792/20214025*c_1001_4^13 + 402447899335589888/101070125*c_1001_4^12 + 656993000256176128/101070125*c_1001_4^11 + 826144695090413568/101070125*c_1001_4^10 + 822341791824216064/101070125*c_1001_4^9 + 131420239108767744/20214025*c_1001_4^8 + 423586675926499328/101070125*c_1001_4^7 + 219660188988080128/101070125*c_1001_4^6 + 90662852776280064/101070125*c_1001_4^5 + 29180531271286784/101070125*c_1001_4^4 + 543909338005504/7774625*c_1001_4^3 + 1214642772803584/101070125*c_1001_4^2 + 131922954093568/101070125*c_1001_4 + 55448511488/808561, c_0011_0 - 1, c_0011_10 - 256*c_1001_4^9 - 1024*c_1001_4^8 - 2112*c_1001_4^7 - 2816*c_1001_4^6 - 2608*c_1001_4^5 - 1728*c_1001_4^4 - 808*c_1001_4^3 - 256*c_1001_4^2 - 49*c_1001_4 - 4, c_0011_11 + 16*c_1001_4^5 + 32*c_1001_4^4 + 36*c_1001_4^3 + 24*c_1001_4^2 + 9*c_1001_4 + 2, c_0011_3 - c_1001_4, c_0011_4 - 16384*c_1001_4^15 - 98304*c_1001_4^14 - 299008*c_1001_4^13 - 598016*c_1001_4^12 - 864256*c_1001_4^11 - 942080*c_1001_4^10 - 786176*c_1001_4^9 - 498176*c_1001_4^8 - 229376*c_1001_4^7 - 65792*c_1001_4^6 - 2144*c_1001_4^5 + 8704*c_1001_4^4 + 4832*c_1001_4^3 + 1408*c_1001_4^2 + 233*c_1001_4 + 18, c_0101_0 - 1, c_0101_1 - 32768*c_1001_4^15 - 212992*c_1001_4^14 - 704512*c_1001_4^13 - 1544192*c_1001_4^12 - 2478080*c_1001_4^11 - 3059712*c_1001_4^10 - 2983936*c_1001_4^9 - 2328320*c_1001_4^8 - 1458432*c_1001_4^7 - 729600*c_1001_4^6 - 287360*c_1001_4^5 - 86752*c_1001_4^4 - 19168*c_1001_4^3 - 2848*c_1001_4^2 - 240*c_1001_4 - 7, c_0101_12 - 2*c_1001_4^2 - 2*c_1001_4 - 1, c_0101_3 - 16384*c_1001_4^15 - 98304*c_1001_4^14 - 299008*c_1001_4^13 - 598016*c_1001_4^12 - 864256*c_1001_4^11 - 942080*c_1001_4^10 - 786176*c_1001_4^9 - 498176*c_1001_4^8 - 229376*c_1001_4^7 - 65792*c_1001_4^6 - 2144*c_1001_4^5 + 8704*c_1001_4^4 + 4832*c_1001_4^3 + 1408*c_1001_4^2 + 233*c_1001_4 + 18, c_0101_6 - 2048*c_1001_4^12 - 10240*c_1001_4^11 - 26624*c_1001_4^10 - 46080*c_1001_4^9 - 58112*c_1001_4^8 - 55808*c_1001_4^7 - 41600*c_1001_4^6 - 24192*c_1001_4^5 - 10888*c_1001_4^4 - 3704*c_1001_4^3 - 908*c_1001_4^2 - 144*c_1001_4 - 11, c_0110_8 + 4096*c_1001_4^13 + 24576*c_1001_4^12 + 74752*c_1001_4^11 + 149504*c_1001_4^10 + 216832*c_1001_4^9 + 239104*c_1001_4^8 + 205184*c_1001_4^7 + 138240*c_1001_4^6 + 72928*c_1001_4^5 + 29696*c_1001_4^4 + 9060*c_1001_4^3 + 1960*c_1001_4^2 + 269*c_1001_4 + 18, c_1001_10 + 2*c_1001_4^2 + 2*c_1001_4 + 1, c_1001_4^16 + 7*c_1001_4^15 + 25*c_1001_4^14 + 119/2*c_1001_4^13 + 209/2*c_1001_4^12 + 1141/8*c_1001_4^11 + 2491/16*c_1001_4^10 + 1105/8*c_1001_4^9 + 6423/64*c_1001_4^8 + 7651/128*c_1001_4^7 + 7431/256*c_1001_4^6 + 1453/128*c_1001_4^5 + 1791/512*c_1001_4^4 + 839/1024*c_1001_4^3 + 281/2048*c_1001_4^2 + 15/1024*c_1001_4 + 25/32768 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.320 Total time: 0.530 seconds, Total memory usage: 32.09MB