Magma V2.19-8 Tue Aug 20 2013 16:18:35 on localhost [Seed = 3120047243] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2772 geometric_solution 6.00383071 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 0 1 -1 0 0 0 0 0 1 0 -1 -1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.729145113339 0.584822565042 0 3 5 4 0132 0132 0132 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 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 0.784821205659 0.485736316233 3 4 3 0 2103 2103 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.248358480703 0.599919589506 2 1 2 5 2031 0132 2103 3012 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 0.570875471518 0.411080432864 6 2 1 6 0132 2103 0132 3201 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 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 0.510049208603 0.255181803634 6 6 3 1 2031 1302 1230 0132 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 0 0 0 0 0 0 0 0 0 0 0 1.040921622054 1.256487401485 4 4 5 5 0132 2310 1302 2031 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 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 1.040921622054 1.256487401485 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_5'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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' : d['c_0011_2'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0011_2'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : d['c_0011_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_0011_5, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 983086564331/69974703519*c_0101_5^14 + 4686720326545/139949407038*c_0101_5^13 - 2058885108967/46649802346*c_0101_5^12 - 8300380674287/23324901173*c_0101_5^11 - 4273842498601/46649802346*c_0101_5^10 + 2334930181405/2412920811*c_0101_5^9 + 41648101022775/46649802346*c_0101_5^8 - 30308505978964/23324901173*c_0101_5^7 - 48413225319908/69974703519*c_0101_5^6 + 30636761649771/46649802346*c_0101_5^5 - 39675812237407/46649802346*c_0101_5^4 - 105317296361/804306937*c_0101_5^3 + 7501429225620/23324901173*c_0101_5^2 + 383880786733/23324901173*c_0101_5 - 7162757001937/139949407038, c_0011_0 - 1, c_0011_2 - 8091223480/23324901173*c_0101_5^14 - 16905686272/23324901173*c_0101_5^13 + 29641026084/23324901173*c_0101_5^12 + 193967735317/23324901173*c_0101_5^11 - 3060699678/23324901173*c_0101_5^10 - 535007443141/23324901173*c_0101_5^9 - 336463973709/23324901173*c_0101_5^8 + 803306288374/23324901173*c_0101_5^7 + 70762938156/23324901173*c_0101_5^6 - 387779036252/23324901173*c_0101_5^5 + 670904133376/23324901173*c_0101_5^4 - 102074253332/23324901173*c_0101_5^3 - 107540480953/23324901173*c_0101_5^2 + 55171744332/23324901173*c_0101_5 + 17601097254/23324901173, c_0011_4 - 2063824893/23324901173*c_0101_5^14 - 4432586899/23324901173*c_0101_5^13 + 7265559404/23324901173*c_0101_5^12 + 49304999351/23324901173*c_0101_5^11 + 955027373/23324901173*c_0101_5^10 - 134860002399/23324901173*c_0101_5^9 - 83053293746/23324901173*c_0101_5^8 + 200992485598/23324901173*c_0101_5^7 + 8208465056/23324901173*c_0101_5^6 - 115797368959/23324901173*c_0101_5^5 + 192725343833/23324901173*c_0101_5^4 - 31281626826/23324901173*c_0101_5^3 - 29264347962/23324901173*c_0101_5^2 + 57138344009/23324901173*c_0101_5 + 4226775062/23324901173, c_0011_5 + c_0101_5, c_0101_0 - 4073734452/23324901173*c_0101_5^14 - 12247907153/23324901173*c_0101_5^13 + 5622122273/23324901173*c_0101_5^12 + 107146058571/23324901173*c_0101_5^11 + 89636833271/23324901173*c_0101_5^10 - 237415248297/23324901173*c_0101_5^9 - 396887206838/23324901173*c_0101_5^8 + 178261059944/23324901173*c_0101_5^7 + 324970251642/23324901173*c_0101_5^6 - 70077122464/23324901173*c_0101_5^5 + 203590009239/23324901173*c_0101_5^4 + 201652902267/23324901173*c_0101_5^3 - 55820601000/23324901173*c_0101_5^2 - 36635040612/23324901173*c_0101_5 + 24504974101/23324901173, c_0101_1 - 2477345820/23324901173*c_0101_5^14 - 8112376122/23324901173*c_0101_5^13 + 2942505322/23324901173*c_0101_5^12 + 71101493810/23324901173*c_0101_5^11 + 73310518131/23324901173*c_0101_5^10 - 162694275991/23324901173*c_0101_5^9 - 320744855741/23324901173*c_0101_5^8 + 80708750996/23324901173*c_0101_5^7 + 335427798947/23324901173*c_0101_5^6 + 18533440768/23324901173*c_0101_5^5 + 95543363800/23324901173*c_0101_5^4 + 145358016581/23324901173*c_0101_5^3 - 57687781692/23324901173*c_0101_5^2 - 25616144014/23324901173*c_0101_5 - 5165986766/23324901173, c_0101_5^15 + 2*c_0101_5^14 - 4*c_0101_5^13 - 24*c_0101_5^12 + 3*c_0101_5^11 + 70*c_0101_5^10 + 37*c_0101_5^9 - 113*c_0101_5^8 - 11*c_0101_5^7 + 60*c_0101_5^6 - 80*c_0101_5^5 + 17*c_0101_5^4 + 22*c_0101_5^3 - 7*c_0101_5^2 - 3*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB