Magma V2.19-8 Wed Aug 21 2013 01:09:21 on localhost [Seed = 2614985235] Type ? for help. Type -D to quit. Loading file "L14n45480__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n45480 geometric_solution 11.73921378 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 0 2 1 2 0 1 1 -2 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.911003641593 1.118469632083 0 4 6 5 0132 1023 0132 0132 2 2 2 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 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.124414641133 1.074985422096 7 0 3 4 0132 0132 0213 0213 0 2 2 1 0 -1 -1 2 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446880050524 0.458974689710 7 2 4 0 1302 0213 0213 0132 0 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562207320566 0.537492711048 1 3 0 2 1023 0213 0132 0213 0 2 2 1 0 0 2 -2 0 0 0 0 0 0 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446880050524 0.458974689710 8 7 1 8 0132 3201 0132 1023 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.203901810658 0.634963249330 9 9 10 1 0132 1230 0132 0132 2 2 1 2 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 0 0 0 0 0 0 0 0 -5 0 6 -1 -6 5 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625946449803 1.252595691287 2 3 5 11 0132 2031 2310 0132 2 2 1 2 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.124414641133 1.074985422096 5 10 10 5 0132 0132 1023 1023 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.795582269129 1.956083746781 6 12 6 12 0132 0132 3012 3012 2 2 2 1 0 -1 0 1 -1 0 0 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 5 0 -5 5 0 0 -5 0 -1 0 1 6 -1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.680770666072 0.638817087845 11 8 8 6 3201 0132 1023 0132 2 2 2 2 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 6 0 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.022798822370 0.371972088158 12 12 7 10 0132 1302 0132 2310 2 2 2 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 -1 0 1 0 6 0 0 -6 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625946449803 1.252595691287 11 9 9 11 0132 0132 1230 2031 2 2 1 2 0 1 -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 -5 5 0 1 0 -1 0 0 1 0 -1 -6 1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.218884029657 0.732978452674 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_3'], 'c_1001_10' : d['c_0101_8'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_0']), 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : negation(d['c_0101_6']), 'c_1010_10' : d['c_0101_10'], 's_0_10' : d['1'], 's_0_11' : 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_3'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : negation(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' : negation(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' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1001_0'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_1100_1'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_7']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_0101_8'], 'c_1100_8' : negation(d['c_1100_1']), 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 'c_1100_12' : d['c_0101_6'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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_10']), 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0101_10']), 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : d['c_0011_3'], 'c_0101_12' : negation(d['c_0101_10']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), '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_0101_1'], '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_6'], 'c_0110_8' : d['c_0101_0'], '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_7'], 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : negation(d['c_0101_7']), 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : d['c_0101_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_11, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_0101_7, c_0101_8, c_1001_0, c_1001_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 361743987834304289600/129465914236480017*c_1100_1^7 + 149843614140763269040/14385101581831113*c_1100_1^6 - 207812391215452106672/14385101581831113*c_1100_1^5 + 322072161745748335568/43155304745493339*c_1100_1^4 + 78425073342629049664/129465914236480017*c_1100_1^3 - 41969365750972696144/129465914236480017*c_1100_1^2 - 3158865065213219488/2055014511690159*c_1100_1 + 81705711224533945888/129465914236480017, c_0011_0 - 1, c_0011_10 - c_1100_1, c_0011_11 + 30229898452/1020894847*c_1100_1^7 - 197524147815/2041789694*c_1100_1^6 + 116828514925/1020894847*c_1100_1^5 - 42131662793/1020894847*c_1100_1^4 - 14958872940/1020894847*c_1100_1^3 - 617683687/2041789694*c_1100_1^2 + 1598479173/145842121*c_1100_1 - 2818294963/1020894847, c_0011_3 + 7938589822/1020894847*c_1100_1^7 - 892328034/1020894847*c_1100_1^6 - 28251514518/1020894847*c_1100_1^5 + 34489263560/1020894847*c_1100_1^4 - 2487134590/1020894847*c_1100_1^3 - 8557483544/1020894847*c_1100_1^2 - 852573745/291684242*c_1100_1 + 2269024563/1020894847, c_0101_0 - 1, c_0101_1 + 7938589822/1020894847*c_1100_1^7 - 892328034/1020894847*c_1100_1^6 - 28251514518/1020894847*c_1100_1^5 + 34489263560/1020894847*c_1100_1^4 - 2487134590/1020894847*c_1100_1^3 - 8557483544/1020894847*c_1100_1^2 - 852573745/291684242*c_1100_1 + 2269024563/1020894847, c_0101_10 - 45778345944/1020894847*c_1100_1^7 + 152434813688/1020894847*c_1100_1^6 - 189857068216/1020894847*c_1100_1^5 + 78693872079/1020894847*c_1100_1^4 + 19700691104/1020894847*c_1100_1^3 - 5331843901/1020894847*c_1100_1^2 - 2443814144/145842121*c_1100_1 + 5804354863/1020894847, c_0101_6 + 50778134228/1020894847*c_1100_1^7 - 137395951757/1020894847*c_1100_1^6 + 133905322760/1020894847*c_1100_1^5 - 30852342107/1020894847*c_1100_1^4 - 14393275408/1020894847*c_1100_1^3 - 8138653990/1020894847*c_1100_1^2 + 1503325072/145842121*c_1100_1 - 2854891559/1020894847, c_0101_7 - 15877179644/1020894847*c_1100_1^7 + 1784656068/1020894847*c_1100_1^6 + 56503029036/1020894847*c_1100_1^5 - 68978527120/1020894847*c_1100_1^4 + 4974269180/1020894847*c_1100_1^3 + 17114967088/1020894847*c_1100_1^2 + 706731624/145842121*c_1100_1 - 3517154279/1020894847, c_0101_8 - 41378455060/1020894847*c_1100_1^7 + 141139668156/1020894847*c_1100_1^6 - 179102689804/1020894847*c_1100_1^5 + 78991661696/1020894847*c_1100_1^4 + 15943615188/1020894847*c_1100_1^3 - 6013012545/1020894847*c_1100_1^2 - 2271473580/145842121*c_1100_1 + 6414600361/1020894847, c_1001_0 - 1, c_1001_2 + 7938589822/1020894847*c_1100_1^7 - 892328034/1020894847*c_1100_1^6 - 28251514518/1020894847*c_1100_1^5 + 34489263560/1020894847*c_1100_1^4 - 2487134590/1020894847*c_1100_1^3 - 8557483544/1020894847*c_1100_1^2 - 852573745/291684242*c_1100_1 + 3289919410/1020894847, c_1100_1^8 - 621/167*c_1100_1^7 + 909/167*c_1100_1^6 - 564/167*c_1100_1^5 + 53/167*c_1100_1^4 + 40/167*c_1100_1^3 + 54/167*c_1100_1^2 - 46/167*c_1100_1 + 9/167 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB