Magma V2.19-8 Tue Aug 20 2013 16:15:50 on localhost [Seed = 3734979316] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0052 geometric_solution 3.61576036 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 3201 1023 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 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 1.154373623681 0.057808132571 0 3 3 0 0132 0132 1023 1023 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 1 -1 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 1.279947679931 0.190965567337 0 0 2 2 2310 0132 1230 3012 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.373172657943 0.057978716627 4 1 1 5 0132 0132 1023 0132 0 0 0 0 0 0 -1 1 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 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 0.777527532523 0.986884515097 3 5 6 6 0132 2310 2310 0132 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 1 -1 0 0 0 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 -0.196635482275 0.409095908691 6 6 3 4 3201 1023 0132 3201 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 0 1 -1 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 -0.196635482275 0.409095908691 5 4 4 5 1023 3201 0132 2310 0 0 0 0 0 0 0 0 -1 0 0 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 -1 1 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 0.954425461746 1.985661728156 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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' : 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' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(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' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : 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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_4'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0101_4']), 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0']})} 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_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 505044644417/27699698*c_0101_4^18 + 3814722588447/193897886*c_0101_4^17 - 2524119358275/193897886*c_0101_4^16 + 5829036643717/13849849*c_0101_4^15 - 4069502399025/27699698*c_0101_4^14 + 14264354713715/7457611*c_0101_4^13 - 5150060468520/7457611*c_0101_4^12 + 56472848173003/14915222*c_0101_4^11 - 10553791791455/7457611*c_0101_4^10 + 28811018919920/7457611*c_0101_4^9 - 22563112321809/14915222*c_0101_4^8 + 32495466901827/14915222*c_0101_4^7 - 6712586456925/7457611*c_0101_4^6 + 132637439045255/193897886*c_0101_4^5 - 28968145030402/96948943*c_0101_4^4 + 21674375871935/193897886*c_0101_4^3 - 4994533322145/96948943*c_0101_4^2 + 717413300298/96948943*c_0101_4 - 694553050101/193897886, c_0011_0 - 1, c_0011_5 + 14402347/2161*c_0101_4^18 + 144570345/15127*c_0101_4^17 - 14064965/15127*c_0101_4^16 + 333510335/2161*c_0101_4^15 + 2457313/2161*c_0101_4^14 + 10729584944/15127*c_0101_4^13 + 57944647/15127*c_0101_4^12 + 21605198900/15127*c_0101_4^11 + 122642993/15127*c_0101_4^10 + 22581013300/15127*c_0101_4^9 + 131814118/15127*c_0101_4^8 + 13136101905/15127*c_0101_4^7 + 80305030/15127*c_0101_4^6 + 4279032945/15127*c_0101_4^5 + 27673867/15127*c_0101_4^4 + 728489099/15127*c_0101_4^3 + 5108379/15127*c_0101_4^2 + 50380125/15127*c_0101_4 + 390625/15127, c_0101_0 - 2867841/2161*c_0101_4^18 + 111599434/15127*c_0101_4^17 + 201798190/15127*c_0101_4^16 - 69170884/2161*c_0101_4^15 + 464746529/2161*c_0101_4^14 - 2167499135/15127*c_0101_4^13 + 15009962899/15127*c_0101_4^12 - 4459700125/15127*c_0101_4^11 + 30412278937/15127*c_0101_4^10 - 4789529356/15127*c_0101_4^9 + 32060093246/15127*c_0101_4^8 - 2889209496/15127*c_0101_4^7 + 18853116180/15127*c_0101_4^6 - 984652885/15127*c_0101_4^5 + 6219933690/15127*c_0101_4^4 - 176894782/15127*c_0101_4^3 + 1074071518/15127*c_0101_4^2 - 12992902/15127*c_0101_4 + 75420434/15127, c_0101_1 - 1156748/2161*c_0101_4^18 + 139460537/15127*c_0101_4^17 + 216238187/15127*c_0101_4^16 - 29894792/2161*c_0101_4^15 + 499913745/2161*c_0101_4^14 - 872028708/15127*c_0101_4^13 + 16107316767/15127*c_0101_4^12 - 1808695053/15127*c_0101_4^11 + 32512311756/15127*c_0101_4^10 - 1948727629/15127*c_0101_4^9 + 34093784750/15127*c_0101_4^8 - 1183200999/15127*c_0101_4^7 + 19915653515/15127*c_0101_4^6 - 406999933/15127*c_0101_4^5 + 6518702205/15127*c_0101_4^4 - 74220492/15127*c_0101_4^3 + 1115685857/15127*c_0101_4^2 - 5571962/15127*c_0101_4 + 77592901/15127, c_0101_2 + 6100472/2161*c_0101_4^18 - 5050659/2161*c_0101_4^17 - 20207394/2161*c_0101_4^16 + 143193130/2161*c_0101_4^15 - 319532257/2161*c_0101_4^14 + 657022174/2161*c_0101_4^13 - 1478930780/2161*c_0101_4^12 + 1342889342/2161*c_0101_4^11 - 3010661745/2161*c_0101_4^10 + 1432043334/2161*c_0101_4^9 - 3195065527/2161*c_0101_4^8 + 854880269/2161*c_0101_4^7 - 1895273327/2161*c_0101_4^6 + 287215703/2161*c_0101_4^5 - 631965325/2161*c_0101_4^4 + 50624533/2161*c_0101_4^3 - 110488063/2161*c_0101_4^2 + 3631384/2161*c_0101_4 - 7866075/2161, c_0101_3 - 390625/2161*c_0101_4^18 + 96910179/15127*c_0101_4^17 + 144179720/15127*c_0101_4^16 - 11216870/2161*c_0101_4^15 + 333510335/2161*c_0101_4^14 - 292173809/15127*c_0101_4^13 + 10729584944/15127*c_0101_4^12 - 612367853/15127*c_0101_4^11 + 21605198900/15127*c_0101_4^10 - 659388257/15127*c_0101_4^9 + 22581013300/15127*c_0101_4^8 - 401389007/15127*c_0101_4^7 + 13136101905/15127*c_0101_4^6 - 138444970/15127*c_0101_4^5 + 4279032945/15127*c_0101_4^4 - 25451133/15127*c_0101_4^3 + 728489099/15127*c_0101_4^2 - 1937998/15127*c_0101_4 + 50380125/15127, c_0101_4^19 + 10/7*c_0101_4^18 + 1/7*c_0101_4^17 + 165/7*c_0101_4^16 + 792/7*c_0101_4^14 + 1716/7*c_0101_4^12 + 286*c_0101_4^10 + 195*c_0101_4^8 + 80*c_0101_4^6 + 136/7*c_0101_4^4 + 18/7*c_0101_4^2 + 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB