Magma V2.19-8 Wed Aug 21 2013 00:55:25 on localhost [Seed = 3717973920] Type ? for help. Type -D to quit. Loading file "L13a5862__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a5862 geometric_solution 11.47042502 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 2 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 0 0 0 0 -1 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 0.254790551121 1.338694434085 0 5 7 6 0132 0132 0132 0132 2 1 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 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 0.343359851870 0.596177500251 8 0 8 9 0132 0132 3120 0132 2 0 2 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 -2 0 1 1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.291744475237 0.835225098332 7 10 5 0 0132 0132 0132 0132 2 1 2 1 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 -1 0 1 0 0 0 0 3 -2 0 -1 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.343359851870 0.596177500251 8 9 0 9 3012 3012 0132 0213 2 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 1 -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 0 0 0 0 0.291744475237 0.835225098332 8 1 9 3 1023 0132 0213 0132 2 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 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 0.254790551121 1.338694434085 7 11 1 10 2103 0132 0132 1230 2 1 2 2 0 -1 0 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 3 0 -3 0 0 -1 1 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.148737289146 1.901715703373 3 10 6 1 0132 0321 2103 0132 2 1 1 2 0 1 -1 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 -2 2 0 0 0 0 0 -2 2 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.628645937064 0.430624906999 2 5 2 4 0132 1023 3120 1230 1 0 1 2 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 -1 1 2 0 -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 0.291744475237 0.835225098332 4 5 2 4 1230 0213 0132 0213 2 0 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 -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 0.627266405185 1.067086028375 6 3 11 7 3012 0132 0132 0321 2 2 1 2 0 0 1 -1 -1 0 0 1 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 1 -3 2 3 0 0 -3 -1 3 0 -2 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.148737289146 1.901715703373 12 6 12 10 0132 0132 2310 0132 2 2 2 2 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 0.278003972738 0.674161770048 11 11 12 12 0132 3201 2031 1302 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 0.501588219267 0.095012339382 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_10'], 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0011_9']), 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : negation(d['c_0011_9']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_9'], 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : d['c_1001_1'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 'c_0101_12' : d['c_0101_10'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : d['1'], 's_2_7' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : negation(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' : d['1'], 's_0_2' : negation(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_11'], 'c_1100_8' : negation(d['c_0011_4']), 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_1010_9'], 'c_1100_4' : d['c_1010_9'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_1010_9'], 'c_1100_3' : d['c_1010_9'], 'c_1100_2' : negation(d['c_0101_8']), 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : negation(d['c_0011_11']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_8']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0011_9']), 'c_1010_9' : d['c_1010_9'], 'c_1010_8' : d['c_0101_1'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_10'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_10'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_9'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_8']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10'], 's_2_9' : 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_11, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_8, c_1001_0, c_1001_1, c_1010_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 3586778422774759498521902006921/46665706328593832933187298*c_1001_1\ ^10 + 110230023255390513786995849277/319628125538313924199913*c_100\ 1_1^9 + 18345025366705253877226367675984/23332853164296916466593649\ *c_1001_1^8 + 56278250492673389623079831983385/46665706328593832933\ 187298*c_1001_1^7 + 31773840960586250103178376406702/23332853164296\ 916466593649*c_1001_1^6 + 55159377254679159210995382975783/46665706\ 328593832933187298*c_1001_1^5 + 18231495227791975630821025599938/23\ 332853164296916466593649*c_1001_1^4 + 18085132317300416586664522874353/46665706328593832933187298*c_1001_\ 1^3 + 107673433834001471570224957107/804581143596445395399781*c_100\ 1_1^2 + 732648523555342129241292574718/23332853164296916466593649*c\ _1001_1 + 70427727217896291013046428134/23332853164296916466593649, c_0011_0 - 1, c_0011_10 - 448703600438796/15745464018497*c_1001_1^10 - 2315784017845992/15745464018497*c_1001_1^9 - 5785998734284508/15745464018497*c_1001_1^8 - 9510196332825012/15745464018497*c_1001_1^7 - 11558087391094492/15745464018497*c_1001_1^6 - 10858712333943296/15745464018497*c_1001_1^5 - 7925889070827208/15745464018497*c_1001_1^4 - 4439262368033316/15745464018497*c_1001_1^3 - 1843955338246663/15745464018497*c_1001_1^2 - 530645635138024/15745464018497*c_1001_1 - 79127525672157/15745464018497, c_0011_11 + 563544413429480/15745464018497*c_1001_1^10 + 2557766525179312/15745464018497*c_1001_1^9 + 5818528481980328/15745464018497*c_1001_1^8 + 8942023376190280/15745464018497*c_1001_1^7 + 10261899285045784/15745464018497*c_1001_1^6 + 9132742486451904/15745464018497*c_1001_1^5 + 6258804222893919/15745464018497*c_1001_1^4 + 3298899374517208/15745464018497*c_1001_1^3 + 1287754605535347/15745464018497*c_1001_1^2 + 337740060326328/15745464018497*c_1001_1 + 43206161902415/15745464018497, c_0011_4 - 1, c_0011_9 - 651024998222074/15745464018497*c_1001_1^10 - 2911108827571606/15745464018497*c_1001_1^9 - 6563019224237972/15745464018497*c_1001_1^8 - 10051247579248458/15745464018497*c_1001_1^7 - 11525435519275168/15745464018497*c_1001_1^6 - 10282329132174684/15745464018497*c_1001_1^5 - 7114811988830948/15745464018497*c_1001_1^4 - 3822004238798258/15745464018497*c_1001_1^3 - 1537735982477886/15745464018497*c_1001_1^2 - 446694291938670/15745464018497*c_1001_1 - 84393056649664/15745464018497, c_0101_0 - c_1001_1, c_0101_1 - 1, c_0101_10 + 793439000116150/15745464018497*c_1001_1^10 + 3817816102756714/15745464018497*c_1001_1^9 + 9003357760466316/15745464018497*c_1001_1^8 + 14161989306751318/15745464018497*c_1001_1^7 + 16545458198868368/15745464018497*c_1001_1^6 + 14929091668634003/15745464018497*c_1001_1^5 + 10402966158947676/15745464018497*c_1001_1^4 + 5545089624308514/15745464018497*c_1001_1^3 + 2187347307296878/15745464018497*c_1001_1^2 + 591626751047873/15745464018497*c_1001_1 + 82196405555640/15745464018497, c_0101_11 - 468883649077405/15745464018497*c_1001_1^10 - 2114261504421984/15745464018497*c_1001_1^9 - 4864870969465939/15745464018497*c_1001_1^8 - 7535984794892720/15745464018497*c_1001_1^7 - 8628732950415716/15745464018497*c_1001_1^6 - 7664297178904048/15745464018497*c_1001_1^5 - 5226624563382817/15745464018497*c_1001_1^4 - 2725056955913416/15745464018497*c_1001_1^3 - 1031371747142407/15745464018497*c_1001_1^2 - 270574286001152/15745464018497*c_1001_1 - 31466105349287/15745464018497, c_0101_8 + 651024998222074/15745464018497*c_1001_1^10 + 2911108827571606/15745464018497*c_1001_1^9 + 6563019224237972/15745464018497*c_1001_1^8 + 10051247579248458/15745464018497*c_1001_1^7 + 11525435519275168/15745464018497*c_1001_1^6 + 10282329132174684/15745464018497*c_1001_1^5 + 7114811988830948/15745464018497*c_1001_1^4 + 3822004238798258/15745464018497*c_1001_1^3 + 1537735982477886/15745464018497*c_1001_1^2 + 446694291938670/15745464018497*c_1001_1 + 68647592631167/15745464018497, c_1001_0 + 448703600438796/15745464018497*c_1001_1^10 + 2315784017845992/15745464018497*c_1001_1^9 + 5785998734284508/15745464018497*c_1001_1^8 + 9510196332825012/15745464018497*c_1001_1^7 + 11558087391094492/15745464018497*c_1001_1^6 + 10858712333943296/15745464018497*c_1001_1^5 + 7925889070827208/15745464018497*c_1001_1^4 + 4439262368033316/15745464018497*c_1001_1^3 + 1859700802265160/15745464018497*c_1001_1^2 + 530645635138024/15745464018497*c_1001_1 + 79127525672157/15745464018497, c_1001_1^11 + 1027/199*c_1001_1^10 + 2714/199*c_1001_1^9 + 4841/199*c_1001_1^8 + 6430/199*c_1001_1^7 + 6676/199*c_1001_1^6 + 5494/199*c_1001_1^5 + 3591/199*c_1001_1^4 + 1827/199*c_1001_1^3 + 705/199*c_1001_1^2 + 188/199*c_1001_1 + 29/199, c_1010_9 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB