Magma V2.19-8 Tue Aug 20 2013 16:16:41 on localhost [Seed = 1107549832] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0976 geometric_solution 4.87262049 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 2.522888749325 1.033214963384 0 1 1 0 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.594240181188 0.116967097258 0 3 4 0 3201 0132 0132 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 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 0.271867913249 0.794902075666 5 2 6 5 0132 0132 0132 1023 0 0 0 0 0 0 -1 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 -1 0 1 -1 0 1 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 0.171232460866 0.440589318403 6 5 5 2 1023 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.171232460866 0.440589318403 3 4 4 3 0132 3201 2310 1023 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 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 1.233651800795 1.971850600279 6 4 6 3 2310 1023 3201 0132 0 0 0 0 0 0 -1 1 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 0 0 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 0.186960048574 1.374478326621 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 4229640939759/123290078379776*c_0101_5^16 + 10957782812183/246580156759552*c_0101_5^14 - 620718780859311/246580156759552*c_0101_5^12 - 6034471851852681/493160313519104*c_0101_5^10 - 1608221774928271/246580156759552*c_0101_5^8 + 33067383012597/1100804271248*c_0101_5^6 - 947943460798713/15411259797472*c_0101_5^4 - 813847437949761/3852814949368*c_0101_5^2 - 5188712753359/963203737342, c_0011_0 - 1, c_0011_2 + 380979202587/8806434169984*c_0101_5^16 - 1792046606677/17612868339968*c_0101_5^14 - 50239724739399/17612868339968*c_0101_5^12 - 173407498235061/35225736679936*c_0101_5^10 + 229472148890095/17612868339968*c_0101_5^8 - 3815872945567/1100804271248*c_0101_5^6 - 11001815847041/137600533906*c_0101_5^4 + 3625007335795/137600533906*c_0101_5^2 - 340932475830/68800266953, c_0011_4 + 80965226907/2201608542496*c_0101_5^16 - 104156658711/1100804271248*c_0101_5^14 - 20869392727649/8806434169984*c_0101_5^12 - 4256548345839/1100804271248*c_0101_5^10 + 183825163895561/17612868339968*c_0101_5^8 - 16012068025727/4403217084992*c_0101_5^6 - 4313777476463/68800266953*c_0101_5^4 + 4934984507583/275201067812*c_0101_5^2 - 224315386032/68800266953, c_0101_0 - 30865938831/2201608542496*c_0101_5^17 + 147729804663/4403217084992*c_0101_5^15 + 2003008047123/2201608542496*c_0101_5^13 + 14457922904659/8806434169984*c_0101_5^11 - 32876264237083/8806434169984*c_0101_5^9 + 1991563190399/4403217084992*c_0101_5^7 + 26630159731361/1100804271248*c_0101_5^5 - 991876960017/550402135624*c_0101_5^3 - 103250714902/68800266953*c_0101_5, c_0101_1 + 244231675119/35225736679936*c_0101_5^17 - 963104949957/70451473359872*c_0101_5^15 - 32894525645285/70451473359872*c_0101_5^13 - 132942152797893/140902946719744*c_0101_5^11 + 69214636615275/35225736679936*c_0101_5^9 + 911377764089/8806434169984*c_0101_5^7 - 30214236070167/2201608542496*c_0101_5^5 + 100380041551/68800266953*c_0101_5^3 + 130289326687/137600533906*c_0101_5, c_0101_3 - 1563331317/1100804271248*c_0101_5^17 + 36726867679/8806434169984*c_0101_5^15 + 1643339820983/17612868339968*c_0101_5^13 + 1744987655883/17612868339968*c_0101_5^11 - 21399941491553/35225736679936*c_0101_5^9 + 3358556955163/8806434169984*c_0101_5^7 + 6334713597007/2201608542496*c_0101_5^5 - 240136073524/68800266953*c_0101_5^3 + 38650152297/137600533906*c_0101_5, c_0101_5^18 + 7/6*c_0101_5^16 - 445/6*c_0101_5^14 - 4153/12*c_0101_5^12 - 304/3*c_0101_5^10 + 2956/3*c_0101_5^8 - 6320/3*c_0101_5^6 - 17792/3*c_0101_5^4 + 5888/3*c_0101_5^2 - 1024/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB