Magma V2.19-8 Wed Aug 21 2013 01:05:54 on localhost [Seed = 3701130353] Type ? for help. Type -D to quit. Loading file "L14n29637__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n29637 geometric_solution 11.97831088 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 0 0 0 0 0 0 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 -1 0 1 0 0 4 -4 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469204767138 0.873061575361 0 5 7 6 0132 0132 0132 0132 1 1 0 0 0 0 0 0 0 0 1 -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 0 0 0 0 0 3 -3 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.693139007942 0.504094488193 8 0 9 3 0132 0132 0132 1230 1 0 0 0 0 0 1 -1 0 0 1 -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 1 3 -4 0 0 -2 2 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.902900066769 0.906285157142 2 9 6 0 3012 0132 0132 0132 1 1 0 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 0 0 0 0 0 0 0 4 0 0 -4 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.091574111561 0.673730922244 8 6 0 10 1023 0132 0132 0132 1 1 0 0 0 0 0 0 -1 0 1 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 -4 0 4 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.693139007942 0.504094488193 9 1 11 12 0213 0132 0132 0132 1 0 0 0 0 0 0 0 0 0 0 0 -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 0 0 0 0 0 0 0 2 -2 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.733730959718 0.555328314401 9 4 1 3 2031 0132 0132 0132 1 1 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 -3 0 3 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 0.469204767138 0.873061575361 11 12 10 1 2310 0132 0132 0132 1 1 0 1 0 -1 1 0 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 -3 3 0 3 0 0 -3 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.075846172900 0.938447422724 2 4 11 12 0132 1023 3201 2310 1 0 0 0 0 1 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 0 0 0 0 4 0 -4 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 0.733730959718 0.555328314401 5 3 6 2 0213 0132 1302 0132 1 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 0 3 -3 -2 0 0 2 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.448301127725 0.553767263462 12 11 4 7 3201 0132 0132 0132 1 1 1 0 0 1 0 -1 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 4 -1 -3 0 0 0 0 3 -3 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.075846172900 0.938447422724 8 10 7 5 2310 0132 3201 0132 1 0 0 1 0 -1 1 0 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 -4 4 0 0 0 0 0 0 1 0 -1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.353294236004 1.135173003425 8 7 5 10 3201 0132 0132 2310 1 0 1 0 0 1 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 0 0 0 0 3 0 -3 0 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 0.559624460328 0.311089049512 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_7']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_7']), 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : d['c_0101_1'], 'c_1010_12' : negation(d['c_0101_7']), 'c_1010_11' : d['c_1001_10'], 'c_1010_10' : negation(d['c_0101_7']), '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' : negation(d['c_0101_1']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : 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' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_0'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_1001_10'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0101_10'], 'c_1100_8' : d['c_0011_10'], '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' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : 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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_0']), '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_0011_3']), 'c_0110_10' : d['c_0101_7'], 'c_0110_12' : negation(d['c_0101_10']), 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_12']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_0'], 'c_0101_8' : d['c_0011_3'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_12']), 'c_0110_8' : negation(d['c_0101_12']), '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_0011_3'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3']})} 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_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_0101_7, c_1001_1, c_1001_10, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 59190928823130983/100665243341208*c_1100_0^9 + 35696881228895347/33555081113736*c_1100_0^8 - 1254737490982517309/33555081113736*c_1100_0^7 - 44340243481731793/33555081113736*c_1100_0^6 - 21105775560413190727/100665243341208*c_1100_0^5 - 5582416159756710683/100665243341208*c_1100_0^4 - 9254551808722633/399465251354*c_1100_0^3 - 62361381663991051/25166310835302*c_1100_0^2 - 1526146945091144041/100665243341208*c_1100_0 - 171239096335338973/100665243341208, c_0011_0 - 1, c_0011_10 - 199027519/35246933943*c_1100_0^9 + 1730602181/70493867886*c_1100_0^8 - 14006663974/35246933943*c_1100_0^7 + 65645869877/70493867886*c_1100_0^6 - 32711487859/11748977981*c_1100_0^5 + 365614017571/70493867886*c_1100_0^4 - 112088532341/35246933943*c_1100_0^3 + 33586798096/11748977981*c_1100_0^2 + 44798255329/35246933943*c_1100_0 + 2072678607/23497955962, c_0011_3 - 157904589/11748977981*c_1100_0^9 + 5737052879/70493867886*c_1100_0^8 - 34397754808/35246933943*c_1100_0^7 + 256092698801/70493867886*c_1100_0^6 - 204717427465/35246933943*c_1100_0^5 + 449577667217/23497955962*c_1100_0^4 - 54096376550/35246933943*c_1100_0^3 + 48390394691/35246933943*c_1100_0^2 - 7437967572/11748977981*c_1100_0 + 128623777447/70493867886, c_0101_0 - 1, c_0101_1 - 2739931559/46995911924*c_1100_0^9 + 11472173099/140987735772*c_1100_0^8 - 515156366549/140987735772*c_1100_0^7 - 238226208325/140987735772*c_1100_0^6 - 2845131146849/140987735772*c_1100_0^5 - 682774522187/46995911924*c_1100_0^4 - 20100782740/35246933943*c_1100_0^3 - 91419465758/35246933943*c_1100_0^2 - 10210654053/46995911924*c_1100_0 - 81636574655/140987735772, c_0101_10 + 4522377787/140987735772*c_1100_0^9 - 6697462819/140987735772*c_1100_0^8 + 281903929291/140987735772*c_1100_0^7 + 108736597313/140987735772*c_1100_0^6 + 475811320473/46995911924*c_1100_0^5 + 866217829861/140987735772*c_1100_0^4 - 180966052156/35246933943*c_1100_0^3 - 56660138554/11748977981*c_1100_0^2 + 4092473213/140987735772*c_1100_0 - 39262737347/46995911924, c_0101_12 + 3868733927/23497955962*c_1100_0^9 - 5137564689/11748977981*c_1100_0^8 + 251905850559/23497955962*c_1100_0^7 - 99699664128/11748977981*c_1100_0^6 + 1368642702201/23497955962*c_1100_0^5 - 397553865957/11748977981*c_1100_0^4 - 87906604647/11748977981*c_1100_0^3 - 38430555903/11748977981*c_1100_0^2 + 97368353185/23497955962*c_1100_0 - 26689535094/11748977981, c_0101_3 - 2988034780/35246933943*c_1100_0^9 + 4664790062/35246933943*c_1100_0^8 - 188691004118/35246933943*c_1100_0^7 - 54036021937/35246933943*c_1100_0^6 - 1067259768631/35246933943*c_1100_0^5 - 558676573441/35246933943*c_1100_0^4 - 184269459994/35246933943*c_1100_0^3 - 98738678572/35246933943*c_1100_0^2 - 43635130922/35246933943*c_1100_0 - 24828562381/35246933943, c_0101_7 - 1405425655/46995911924*c_1100_0^9 + 4201286703/46995911924*c_1100_0^8 - 92430338059/46995911924*c_1100_0^7 + 102186756283/46995911924*c_1100_0^6 - 500187634839/46995911924*c_1100_0^5 + 444149283187/46995911924*c_1100_0^4 + 23073340458/11748977981*c_1100_0^3 - 6889688861/11748977981*c_1100_0^2 - 14362710265/46995911924*c_1100_0 + 1242089237/46995911924, c_1001_1 - 233895949/10845210444*c_1100_0^9 + 726457885/10845210444*c_1100_0^8 - 15685143361/10845210444*c_1100_0^7 + 19320138973/10845210444*c_1100_0^6 - 33195134751/3615070148*c_1100_0^5 + 90874136477/10845210444*c_1100_0^4 - 19246785839/2711302611*c_1100_0^3 + 954290581/903767537*c_1100_0^2 - 24926178767/10845210444*c_1100_0 + 688524481/3615070148, c_1001_10 - 15782819801/140987735772*c_1100_0^9 + 27613588423/140987735772*c_1100_0^8 - 1000967159533/140987735772*c_1100_0^7 - 95800998989/140987735772*c_1100_0^6 - 5567175363557/140987735772*c_1100_0^5 - 1733177622221/140987735772*c_1100_0^4 - 89342946491/35246933943*c_1100_0^3 + 115778282563/35246933943*c_1100_0^2 - 358764759343/140987735772*c_1100_0 + 63004092145/140987735772, c_1001_2 + 115282851/23497955962*c_1100_0^9 + 564241339/35246933943*c_1100_0^8 + 17850393115/70493867886*c_1100_0^7 + 57269921518/35246933943*c_1100_0^6 + 64648836193/70493867886*c_1100_0^5 + 113978875117/11748977981*c_1100_0^4 - 86039538653/35246933943*c_1100_0^3 + 44536545473/35246933943*c_1100_0^2 - 6524004445/23497955962*c_1100_0 + 11132532407/35246933943, c_1100_0^10 - 2*c_1100_0^9 + 64*c_1100_0^8 - 10*c_1100_0^7 + 360*c_1100_0^6 + 26*c_1100_0^5 + 43*c_1100_0^4 + 27*c_1100_0^2 - 2*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.260 Total time: 0.470 seconds, Total memory usage: 32.09MB