Magma V2.19-8 Tue Aug 20 2013 16:18:09 on localhost [Seed = 2134827590] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2371 geometric_solution 5.74016150 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 3201 0132 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 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 0.321919828705 1.195121567191 0 3 4 4 0132 2310 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.037215229542 1.694336044833 0 0 6 5 2310 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 1 -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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.210137577811 0.780131973635 5 5 0 1 1023 2031 0132 3201 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 0 0 0 0 0 0 0 0 0 1 -1 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 0.457490385164 0.134072097564 1 6 1 6 2310 0213 0132 3120 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 0 0 0 -0.262730333767 0.884424567318 3 3 2 6 1302 1023 0132 3201 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 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 0.574510379503 1.080351945521 4 5 4 2 3120 2310 0213 0132 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.239131803756 1.225660926348 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(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_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' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_6']), 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0110_3']), 'c_1001_6' : negation(d['c_0110_3']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : negation(d['c_0110_5']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : negation(d['c_0110_5']), 'c_1010_5' : d['c_0110_3'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0110_3']), 'c_1010_0' : negation(d['c_0110_5'])})} 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_3, c_0011_4, c_0011_6, c_0101_1, c_0110_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 211488884776264192/1920124193680539*c_0110_5^10 + 81172551488503808/640041397893513*c_0110_5^9 - 1755621152267008/10159387268151*c_0110_5^8 + 53782499691583360/213347132631171*c_0110_5^7 - 326732027451435104/1920124193680539*c_0110_5^6 - 643203465318416/91434485413359*c_0110_5^5 + 361671546234632168/1920124193680539*c_0110_5^4 - 286028044178243572/1920124193680539*c_0110_5^3 + 540117782034147992/1920124193680539*c_0110_5^2 - 124143640657900636/640041397893513*c_0110_5 + 28421821026750908/640041397893513, c_0011_0 - 1, c_0011_3 - 3667260517120/2770741982223*c_0110_5^10 + 1444954016768/923580660741*c_0110_5^9 - 752503798784/307860220247*c_0110_5^8 + 1094946238208/307860220247*c_0110_5^7 - 6618860478416/2770741982223*c_0110_5^6 + 657027276088/923580660741*c_0110_5^5 + 5323466011292/2770741982223*c_0110_5^4 - 5349979524082/2770741982223*c_0110_5^3 + 10757824522910/2770741982223*c_0110_5^2 - 2519231999593/923580660741*c_0110_5 + 708080434694/923580660741, c_0011_4 + 6751500299264/8312225946669*c_0110_5^10 - 4251655057408/2770741982223*c_0110_5^9 + 341327773056/307860220247*c_0110_5^8 - 1761703300928/923580660741*c_0110_5^7 + 12582734634400/8312225946669*c_0110_5^6 + 1724736380080/2770741982223*c_0110_5^5 - 17718324353872/8312225946669*c_0110_5^4 + 10924922832812/8312225946669*c_0110_5^3 - 12910229880280/8312225946669*c_0110_5^2 + 4793063524817/2770741982223*c_0110_5 + 872954972831/2770741982223, c_0011_6 - 1335203066368/2770741982223*c_0110_5^10 + 847762275584/923580660741*c_0110_5^9 - 356262217856/307860220247*c_0110_5^8 + 299371885568/307860220247*c_0110_5^7 - 3712959874208/2770741982223*c_0110_5^6 + 80082545872/923580660741*c_0110_5^5 + 2964331394864/2770741982223*c_0110_5^4 - 2778239841160/2770741982223*c_0110_5^3 + 3368698153658/2770741982223*c_0110_5^2 - 384743848948/923580660741*c_0110_5 + 608425460051/923580660741, c_0101_1 + 18506099835136/8312225946669*c_0110_5^10 - 3028519174400/2770741982223*c_0110_5^9 + 855645933440/307860220247*c_0110_5^8 - 3592123371136/923580660741*c_0110_5^7 + 9338914147088/8312225946669*c_0110_5^6 + 3160167567752/2770741982223*c_0110_5^5 - 24184020782420/8312225946669*c_0110_5^4 + 10218625380310/8312225946669*c_0110_5^3 - 48115168425674/8312225946669*c_0110_5^2 + 2257041416641/2770741982223*c_0110_5 + 809965065322/2770741982223, c_0110_3 + 17078557210624/8312225946669*c_0110_5^10 - 2777635602944/2770741982223*c_0110_5^9 + 717091609472/307860220247*c_0110_5^8 - 2818816290304/923580660741*c_0110_5^7 + 8088154592384/8312225946669*c_0110_5^6 + 1722085473872/2770741982223*c_0110_5^5 - 27310038430976/8312225946669*c_0110_5^4 + 7008380987404/8312225946669*c_0110_5^3 - 36678805768790/8312225946669*c_0110_5^2 + 3211908532819/2770741982223*c_0110_5 - 777772664135/2770741982223, c_0110_5^11 - c_0110_5^10 + 3/2*c_0110_5^9 - 9/4*c_0110_5^8 + 23/16*c_0110_5^7 - 1/32*c_0110_5^6 - 95/64*c_0110_5^5 + 135/128*c_0110_5^4 - 327/128*c_0110_5^3 + 205/128*c_0110_5^2 - 27/64*c_0110_5 + 33/256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB