Magma V2.19-8 Wed Aug 21 2013 01:03:12 on localhost [Seed = 3903779049] Type ? for help. Type -D to quit. Loading file "L14n18034__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n18034 geometric_solution 11.99303463 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 2310 1 1 1 1 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 1 0 -1 0 0 0 0 -1 1 0 0 -13 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570809439864 0.890834522764 0 4 6 5 0132 0132 0132 0132 0 1 1 1 0 -1 1 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 13 0 0 -13 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.804217702961 0.858623077096 0 0 8 7 3201 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 1 0 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.438939097315 0.911068736356 9 10 7 0 0132 0132 2103 0132 1 1 1 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 12 0 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.623056911825 0.522720855456 7 1 6 8 3012 0132 0213 3012 0 1 1 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 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 0 0 0 0 0 0.456121931942 0.382065724073 11 6 1 11 0132 0213 0132 0321 0 1 1 1 0 0 0 0 -1 0 0 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 0 1 -1 12 0 0 -12 0 -13 0 13 -13 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560278686335 0.505676392177 12 4 5 1 0132 0213 0213 0132 0 1 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 0 0 0 0 0 0 0 0 1 0 -1 -13 0 13 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 0.560278686335 0.505676392177 3 10 2 4 2103 2031 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.058025323359 0.790280629982 12 9 4 2 2310 2310 1230 0132 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 1 -1 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 -0.288402022411 1.079216361059 3 12 11 8 0132 0132 0132 3201 0 1 1 1 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 1 -1 0 0 1 -1 0 0 0 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.252438512138 1.107094642096 7 3 10 10 1302 0132 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.058025323359 0.790280629982 5 5 12 9 0132 0321 0132 0132 0 1 1 1 0 0 0 0 1 0 -1 0 -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 1 0 -1 -12 0 13 -1 13 -13 0 0 0 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.016400618277 0.887742116250 6 9 8 11 0132 0132 3201 0132 0 1 1 1 0 0 0 0 -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 0 0 0 13 0 0 -13 0 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.016400618277 0.887742116250 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0110_10']), 'c_1001_12' : negation(d['c_0101_8']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0110_10']), 'c_1001_6' : d['c_1001_4'], 'c_1001_1' : negation(d['c_0101_8']), 'c_1001_0' : negation(d['c_0110_10']), 'c_1001_3' : d['c_0011_7'], 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : d['c_1001_11'], 'c_1001_8' : d['c_0101_8'], 'c_1010_12' : d['c_1001_11'], 'c_1010_11' : d['c_1001_11'], 'c_1010_10' : d['c_0011_7'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_11']), 'c_0101_10' : negation(d['c_0011_7']), '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' : 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' : negation(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' : 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_11'], 'c_1100_8' : d['c_0110_4'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_1001_11'], 'c_1100_4' : negation(d['c_0101_8']), 'c_1100_7' : d['c_0110_4'], 'c_1100_6' : d['c_1001_11'], 'c_1100_1' : d['c_1001_11'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0110_4'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_8']), 'c_1100_11' : negation(d['c_0011_8']), 'c_1100_10' : d['c_0110_10'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0101_8']), 'c_1010_5' : d['c_1001_11'], 'c_1010_4' : negation(d['c_0101_8']), 'c_1010_3' : negation(d['c_0110_10']), 'c_1010_2' : negation(d['c_0110_10']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : negation(d['c_0101_8']), 'c_1010_8' : negation(d['c_0101_3']), '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' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_8']), '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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], '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_10'], '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_0'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : d['c_0101_1'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_10'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0101_1']), '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_3'], 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_0'], '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_7, c_0011_8, c_0101_0, c_0101_1, c_0101_3, c_0101_8, c_0110_10, c_0110_4, c_1001_11, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 553792833448/1460818739547*c_1001_4^13 + 280292643596/1460818739547*c_1001_4^12 + 3290788149269/1460818739547*c_1001_4^11 - 21156596061757/2921637479094*c_1001_4^10 + 16448298100909/973879159698*c_1001_4^9 - 36669550747757/1460818739547*c_1001_4^8 + 32449060990421/973879159698*c_1001_4^7 - 4188472917320/162313193283*c_1001_4^6 + 2546952056395/108208795522*c_1001_4^5 - 5368072419401/486939579849*c_1001_4^4 + 3009182985935/2921637479094*c_1001_4^3 - 20384850614255/2921637479094*c_1001_4^2 - 8828590061345/2921637479094*c_1001_4 - 1327134389363/324626386566, c_0011_0 - 1, c_0011_10 + 531035/11012497*c_1001_4^13 + 3521836/11012497*c_1001_4^12 - 11372380/11012497*c_1001_4^11 - 12292636/11012497*c_1001_4^10 + 99038679/11012497*c_1001_4^9 - 239410732/11012497*c_1001_4^8 + 338859078/11012497*c_1001_4^7 - 361453807/11012497*c_1001_4^6 + 249676262/11012497*c_1001_4^5 - 96445880/11012497*c_1001_4^4 + 31287483/11012497*c_1001_4^3 + 12289955/11012497*c_1001_4^2 + 21895889/11012497*c_1001_4 - 39631837/11012497, c_0011_11 + 4005725/33037491*c_1001_4^13 - 6900913/33037491*c_1001_4^12 - 26195368/33037491*c_1001_4^11 + 119806363/33037491*c_1001_4^10 - 81105995/11012497*c_1001_4^9 + 297335554/33037491*c_1001_4^8 - 85603618/11012497*c_1001_4^7 + 32715578/11012497*c_1001_4^6 + 10284258/11012497*c_1001_4^5 - 17499757/11012497*c_1001_4^4 + 11224351/33037491*c_1001_4^3 + 55592069/33037491*c_1001_4^2 - 68340817/33037491*c_1001_4 + 6742301/11012497, c_0011_7 + 167306/11012497*c_1001_4^13 - 914909/11012497*c_1001_4^12 - 182150/11012497*c_1001_4^11 + 8388930/11012497*c_1001_4^10 - 25792204/11012497*c_1001_4^9 + 52889434/11012497*c_1001_4^8 - 79146210/11012497*c_1001_4^7 + 90412732/11012497*c_1001_4^6 - 69383288/11012497*c_1001_4^5 + 43940967/11012497*c_1001_4^4 - 30484933/11012497*c_1001_4^3 + 10118773/11012497*c_1001_4^2 - 26087247/11012497*c_1001_4 + 13185802/11012497, c_0011_8 + c_1001_4, c_0101_0 - 9539780/33037491*c_1001_4^13 + 20672665/33037491*c_1001_4^12 + 58264408/33037491*c_1001_4^11 - 310770760/33037491*c_1001_4^10 + 226201864/11012497*c_1001_4^9 - 923975803/33037491*c_1001_4^8 + 304356728/11012497*c_1001_4^7 - 204908382/11012497*c_1001_4^6 + 67836293/11012497*c_1001_4^5 - 26977358/11012497*c_1001_4^4 + 35014880/33037491*c_1001_4^3 - 87393371/33037491*c_1001_4^2 + 141807445/33037491*c_1001_4 + 2816329/11012497, c_0101_1 + 531035/11012497*c_1001_4^13 + 3521836/11012497*c_1001_4^12 - 11372380/11012497*c_1001_4^11 - 12292636/11012497*c_1001_4^10 + 99038679/11012497*c_1001_4^9 - 239410732/11012497*c_1001_4^8 + 338859078/11012497*c_1001_4^7 - 361453807/11012497*c_1001_4^6 + 249676262/11012497*c_1001_4^5 - 96445880/11012497*c_1001_4^4 + 31287483/11012497*c_1001_4^3 + 12289955/11012497*c_1001_4^2 + 21895889/11012497*c_1001_4 - 39631837/11012497, c_0101_3 - 1, c_0101_8 + 1, c_0110_10 - 724435/33037491*c_1001_4^13 + 946952/33037491*c_1001_4^12 + 6366902/33037491*c_1001_4^11 - 20462165/33037491*c_1001_4^10 + 9721945/11012497*c_1001_4^9 - 15351068/33037491*c_1001_4^8 - 11596639/11012497*c_1001_4^7 + 37853415/11012497*c_1001_4^6 - 57813157/11012497*c_1001_4^5 + 48374673/11012497*c_1001_4^4 - 107192111/33037491*c_1001_4^3 + 77690534/33037491*c_1001_4^2 - 22387534/33037491*c_1001_4 + 13625880/11012497, c_0110_4 - 9539780/33037491*c_1001_4^13 + 20672665/33037491*c_1001_4^12 + 58264408/33037491*c_1001_4^11 - 310770760/33037491*c_1001_4^10 + 226201864/11012497*c_1001_4^9 - 923975803/33037491*c_1001_4^8 + 304356728/11012497*c_1001_4^7 - 204908382/11012497*c_1001_4^6 + 67836293/11012497*c_1001_4^5 - 26977358/11012497*c_1001_4^4 + 35014880/33037491*c_1001_4^3 - 87393371/33037491*c_1001_4^2 + 141807445/33037491*c_1001_4 + 2816329/11012497, c_1001_11 + 4211938/33037491*c_1001_4^13 - 5478950/33037491*c_1001_4^12 - 24813545/33037491*c_1001_4^11 + 105828152/33037491*c_1001_4^10 - 81181348/11012497*c_1001_4^9 + 365022386/33037491*c_1001_4^8 - 147904064/11012497*c_1001_4^7 + 116457605/11012497*c_1001_4^6 - 74809632/11012497*c_1001_4^5 + 22365315/11012497*c_1001_4^4 + 41615750/33037491*c_1001_4^3 - 4181549/33037491*c_1001_4^2 + 13353304/33037491*c_1001_4 + 7595644/11012497, c_1001_4^14 - 2*c_1001_4^13 - 5*c_1001_4^12 + 29*c_1001_4^11 - 75*c_1001_4^10 + 128*c_1001_4^9 - 171*c_1001_4^8 + 171*c_1001_4^7 - 135*c_1001_4^6 + 87*c_1001_4^5 - 34*c_1001_4^4 + 19*c_1001_4^3 - 11*c_1001_4^2 + 6*c_1001_4 - 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.390 seconds, Total memory usage: 32.09MB