Magma V2.19-8 Tue Aug 20 2013 16:19:03 on localhost [Seed = 37986167] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3201 geometric_solution 6.34799190 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3201 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 1 -1 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 1.074801171750 0.669115015514 0 0 5 4 0132 2310 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 -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 0.538903710252 0.269219153419 3 0 5 6 2103 0132 2310 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 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 0.617371593248 0.814147042845 4 6 2 0 0132 1023 2103 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.617371593248 0.814147042845 3 5 1 5 0132 1023 0132 3012 0 0 0 0 0 0 0 0 0 0 1 -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 -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 0.761009926459 1.134118260467 4 2 4 1 1023 3201 1230 0132 0 0 0 0 0 -1 1 0 0 0 1 -1 -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 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 0.761009926459 1.134118260467 3 6 2 6 1023 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.395328413909 0.494946406031 ==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_3']), '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' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_3'], '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' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0110_6'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_1001_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' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0110_6'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_1001_1'])})} 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_0101_0, c_0101_1, c_0101_2, c_0110_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 43561417957/2656787599*c_1001_1^16 - 286154572929/2656787599*c_1001_1^15 + 324859796670/2656787599*c_1001_1^14 + 663140516613/2656787599*c_1001_1^13 - 1330247501378/2656787599*c_1001_1^12 + 374357494911/2656787599*c_1001_1^11 + 1963058860670/2656787599*c_1001_1^10 - 3550106777047/2656787599*c_1001_1^9 - 481580892709/2656787599*c_1001_1^8 + 4944960820521/2656787599*c_1001_1^7 - 2667297445437/2656787599*c_1001_1^6 - 2744838277358/2656787599*c_1001_1^5 + 3277494549743/2656787599*c_1001_1^4 - 176090276334/2656787599*c_1001_1^3 - 1105590518902/2656787599*c_1001_1^2 + 548726973791/2656787599*c_1001_1 - 11702743882/2656787599, c_0011_0 - 1, c_0011_3 + 1975116603/2656787599*c_1001_1^16 - 11765076328/2656787599*c_1001_1^15 + 6569905873/2656787599*c_1001_1^14 + 39710373953/2656787599*c_1001_1^13 - 39384429497/2656787599*c_1001_1^12 - 22664183415/2656787599*c_1001_1^11 + 89071122746/2656787599*c_1001_1^10 - 102610035681/2656787599*c_1001_1^9 - 114802749509/2656787599*c_1001_1^8 + 197792809410/2656787599*c_1001_1^7 + 40067724806/2656787599*c_1001_1^6 - 154777206388/2656787599*c_1001_1^5 + 39073575674/2656787599*c_1001_1^4 + 48812615351/2656787599*c_1001_1^3 - 22323995758/2656787599*c_1001_1^2 + 4852141081/2656787599*c_1001_1 - 2827178288/2656787599, c_0101_0 + c_1001_1, c_0101_1 - 167809564/2656787599*c_1001_1^16 + 1170743559/2656787599*c_1001_1^15 - 1558797717/2656787599*c_1001_1^14 - 2523732001/2656787599*c_1001_1^13 + 4400799703/2656787599*c_1001_1^12 + 1075300163/2656787599*c_1001_1^11 - 4080943094/2656787599*c_1001_1^10 + 8843374473/2656787599*c_1001_1^9 + 1952922827/2656787599*c_1001_1^8 - 16558730675/2656787599*c_1001_1^7 - 7817402767/2656787599*c_1001_1^6 + 7575288537/2656787599*c_1001_1^5 + 8672267084/2656787599*c_1001_1^4 - 67772780/2656787599*c_1001_1^3 - 7101888288/2656787599*c_1001_1^2 + 762388187/2656787599*c_1001_1 + 3670122364/2656787599, c_0101_2 - 1752710976/2656787599*c_1001_1^16 + 11290437646/2656787599*c_1001_1^15 - 10825916902/2656787599*c_1001_1^14 - 33006771209/2656787599*c_1001_1^13 + 53210789991/2656787599*c_1001_1^12 + 4917792546/2656787599*c_1001_1^11 - 94107983099/2656787599*c_1001_1^10 + 128551506461/2656787599*c_1001_1^9 + 65770435952/2656787599*c_1001_1^8 - 234826362894/2656787599*c_1001_1^7 + 46114994875/2656787599*c_1001_1^6 + 181817536485/2656787599*c_1001_1^5 - 108144153638/2656787599*c_1001_1^4 - 51317741593/2656787599*c_1001_1^3 + 58385413623/2656787599*c_1001_1^2 - 4991400807/2656787599*c_1001_1 - 5928760894/2656787599, c_0110_6 + 1089169147/2656787599*c_1001_1^16 - 8471051494/2656787599*c_1001_1^15 + 15104290886/2656787599*c_1001_1^14 + 17238861962/2656787599*c_1001_1^13 - 62690673957/2656787599*c_1001_1^12 + 21489016760/2656787599*c_1001_1^11 + 77735684806/2656787599*c_1001_1^10 - 146211668152/2656787599*c_1001_1^9 + 27269418683/2656787599*c_1001_1^8 + 242211802279/2656787599*c_1001_1^7 - 161732144064/2656787599*c_1001_1^6 - 149196077255/2656787599*c_1001_1^5 + 182021005693/2656787599*c_1001_1^4 + 2385760895/2656787599*c_1001_1^3 - 76895690343/2656787599*c_1001_1^2 + 22601725910/2656787599*c_1001_1 + 1522790575/2656787599, c_1001_1^17 - 7*c_1001_1^16 + 10*c_1001_1^15 + 14*c_1001_1^14 - 40*c_1001_1^13 + 19*c_1001_1^12 + 50*c_1001_1^11 - 107*c_1001_1^10 + 16*c_1001_1^9 + 142*c_1001_1^8 - 117*c_1001_1^7 - 59*c_1001_1^6 + 124*c_1001_1^5 - 32*c_1001_1^4 - 39*c_1001_1^3 + 30*c_1001_1^2 - 5*c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB