Magma V2.19-8 Tue Aug 20 2013 16:18:47 on localhost [Seed = 4054871168] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2940 geometric_solution 6.13670300 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 2103 0132 0132 0 0 0 0 0 0 -1 1 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 -1 0 1 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 1.271980177637 1.305287168517 0 0 5 4 0132 2103 0132 0132 0 0 0 0 0 0 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 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.571507676609 0.651750598017 4 5 4 0 0132 1230 2031 0132 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396572641470 0.544863010170 4 3 0 3 1302 2310 0132 3201 0 0 0 0 0 0 -1 1 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 -1 1 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 0.137066496073 0.802562026944 2 3 1 2 0132 2031 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.137066496073 0.802562026944 6 6 2 1 0132 2310 3012 0132 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.245367169179 0.922797317632 5 6 6 5 0132 1230 3012 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.204688675320 0.718122493557 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : 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_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_0_6' : 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_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_2'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_5']), '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_2']), 'c_1001_4' : negation(d['c_0110_3']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0110_3'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_2'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_0']), 'c_1010_6' : d['c_0011_2'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0110_3']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0110_3']), 'c_1010_0' : d['c_0110_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_5, c_0101_0, c_0101_2, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 2389711771397208/32693129547683*c_0110_3^21 - 45144532193058708/32693129547683*c_0110_3^19 + 244807416067612092/32693129547683*c_0110_3^17 - 564714269690843618/32693129547683*c_0110_3^15 + 583293385997285308/32693129547683*c_0110_3^13 - 186621896657724480/32693129547683*c_0110_3^11 + 261284309961600912/32693129547683*c_0110_3^9 - 280064213429547992/32693129547683*c_0110_3^7 + 114541759006917983/32693129547683*c_0110_3^5 - 84325019379044343/32693129547683*c_0110_3^3 + 10900541931496403/32693129547683*c_0110_3, c_0011_0 - 1, c_0011_2 + 9730750066910/32693129547683*c_0110_3^21 - 179734012065496/32693129547683*c_0110_3^19 + 921186999987535/32693129547683*c_0110_3^17 - 1911012282629344/32693129547683*c_0110_3^15 + 1570025424351550/32693129547683*c_0110_3^13 - 113029152337034/32693129547683*c_0110_3^11 + 1055377254471795/32693129547683*c_0110_3^9 - 719699369685256/32693129547683*c_0110_3^7 + 135677690065831/32693129547683*c_0110_3^5 - 325796165722010/32693129547683*c_0110_3^3 - 44790078709918/32693129547683*c_0110_3, c_0011_3 - 2727615633224/32693129547683*c_0110_3^21 + 49971801803364/32693129547683*c_0110_3^19 - 250950005414336/32693129547683*c_0110_3^17 + 502196233580622/32693129547683*c_0110_3^15 - 384917265635908/32693129547683*c_0110_3^13 + 9991087461394/32693129547683*c_0110_3^11 - 311671833268377/32693129547683*c_0110_3^9 + 143724384428612/32693129547683*c_0110_3^7 - 48307632385699/32693129547683*c_0110_3^5 + 91397587453285/32693129547683*c_0110_3^3 + 51019261559985/32693129547683*c_0110_3, c_0011_5 - 44782931230682/32693129547683*c_0110_3^20 + 843377794823962/32693129547683*c_0110_3^18 - 4539237626411097/32693129547683*c_0110_3^16 + 10335842514591689/32693129547683*c_0110_3^14 - 10429502323227910/32693129547683*c_0110_3^12 + 3129069677678286/32693129547683*c_0110_3^10 - 4973562379164784/32693129547683*c_0110_3^8 + 5048123256351798/32693129547683*c_0110_3^6 - 1943150281235789/32693129547683*c_0110_3^4 + 1557732599083568/32693129547683*c_0110_3^2 - 191650336440588/32693129547683, c_0101_0 - 7003134433686/32693129547683*c_0110_3^20 + 129762210262132/32693129547683*c_0110_3^18 - 670236994573199/32693129547683*c_0110_3^16 + 1408816049048722/32693129547683*c_0110_3^14 - 1185108158715642/32693129547683*c_0110_3^12 + 103038064875640/32693129547683*c_0110_3^10 - 743705421203418/32693129547683*c_0110_3^8 + 575974985256644/32693129547683*c_0110_3^6 - 87370057680132/32693129547683*c_0110_3^4 + 234398578268725/32693129547683*c_0110_3^2 - 6229182850067/32693129547683, c_0101_2 - 1852895227892/32693129547683*c_0110_3^20 + 34085828257572/32693129547683*c_0110_3^18 - 172888635642318/32693129547683*c_0110_3^16 + 351538955334572/32693129547683*c_0110_3^14 - 276408554027126/32693129547683*c_0110_3^12 + 10186811452055/32693129547683*c_0110_3^10 - 208138032257284/32693129547683*c_0110_3^8 + 118076921240965/32693129547683*c_0110_3^6 - 19070845692287/32693129547683*c_0110_3^4 + 106897123990072/32693129547683*c_0110_3^2 - 1363807816612/32693129547683, c_0110_3^22 - 19*c_0110_3^20 + 209/2*c_0110_3^18 - 495/2*c_0110_3^16 + 270*c_0110_3^14 - 105*c_0110_3^12 + 118*c_0110_3^10 - 129*c_0110_3^8 + 61*c_0110_3^6 - 81/2*c_0110_3^4 + 17/2*c_0110_3^2 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB