Magma V2.19-8 Tue Aug 20 2013 16:16:55 on localhost [Seed = 1259001748] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1177 geometric_solution 5.05146789 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 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 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 0 0 0 0.638837721732 0.509048231309 0 3 4 2 0132 0132 0132 2310 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450728730134 1.118959621384 1 4 3 0 3201 1023 1023 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 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 0.450728730134 1.118959621384 3 1 2 3 3201 0132 1023 2310 0 0 0 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.556250487741 0.577396221474 2 5 5 1 1023 0132 3201 0132 0 0 0 0 0 0 0 0 1 0 -1 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 -1 0 1 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 -0.072134537758 0.427699935387 4 4 6 6 2310 0132 2310 0132 0 0 0 0 0 0 0 0 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 0 0 0 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 3.317576424017 1.528280874363 6 5 5 6 3201 3201 0132 2310 0 0 0 0 0 -1 0 1 -1 0 0 1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 1 0 0 -1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.511092066369 0.112061013697 ==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' : 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' : 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' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), '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_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_2'], '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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_0']), '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_6, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 26618593701/37570670731*c_0101_5^14 + 93164602310/37570670731*c_0101_5^13 + 249110558735/37570670731*c_0101_5^12 - 933091155439/37570670731*c_0101_5^11 - 519431331160/37570670731*c_0101_5^10 + 1943257162383/37570670731*c_0101_5^9 + 711773664665/37570670731*c_0101_5^8 + 145676419676/37570670731*c_0101_5^7 - 903664691054/37570670731*c_0101_5^6 - 16946569693/799375973*c_0101_5^5 + 48083255151/37570670731*c_0101_5^4 - 427969428437/37570670731*c_0101_5^3 + 151459445825/37570670731*c_0101_5^2 - 113065996040/37570670731*c_0101_5 - 102471172811/37570670731, c_0011_0 - 1, c_0011_2 - 17798964/28227401*c_0101_5^14 + 35275816/28227401*c_0101_5^13 + 186250365/28227401*c_0101_5^12 - 310021694/28227401*c_0101_5^11 - 444295712/28227401*c_0101_5^10 + 454061293/28227401*c_0101_5^9 + 274816461/28227401*c_0101_5^8 + 262083871/28227401*c_0101_5^7 - 177170681/28227401*c_0101_5^6 - 2824588/600583*c_0101_5^5 + 21937942/28227401*c_0101_5^4 - 176070165/28227401*c_0101_5^3 + 12655908/28227401*c_0101_5^2 - 38420444/28227401*c_0101_5 - 16713231/28227401, c_0011_6 + 21561607/28227401*c_0101_5^14 - 42080924/28227401*c_0101_5^13 - 218896258/28227401*c_0101_5^12 + 359715034/28227401*c_0101_5^11 + 461195977/28227401*c_0101_5^10 - 468343065/28227401*c_0101_5^9 - 139237295/28227401*c_0101_5^8 - 375888566/28227401*c_0101_5^7 + 207419136/28227401*c_0101_5^6 + 2686294/600583*c_0101_5^5 - 74953729/28227401*c_0101_5^4 + 201015296/28227401*c_0101_5^3 - 94209263/28227401*c_0101_5^2 + 63716507/28227401*c_0101_5 - 5654906/28227401, c_0101_0 + 5654906/28227401*c_0101_5^14 + 10251795/28227401*c_0101_5^13 - 98629984/28227401*c_0101_5^12 - 122762856/28227401*c_0101_5^11 + 472813154/28227401*c_0101_5^10 + 342442951/28227401*c_0101_5^9 - 490962689/28227401*c_0101_5^8 - 257990321/28227401*c_0101_5^7 - 324994412/28227401*c_0101_5^6 + 5135076/600583*c_0101_5^5 + 114946006/28227401*c_0101_5^4 - 18404669/28227401*c_0101_5^3 + 161430954/28227401*c_0101_5^2 - 65934733/28227401*c_0101_5 + 58061601/28227401, c_0101_1 + 14124595/28227401*c_0101_5^14 - 35492445/28227401*c_0101_5^13 - 137047187/28227401*c_0101_5^12 + 331605900/28227401*c_0101_5^11 + 265217695/28227401*c_0101_5^10 - 604784181/28227401*c_0101_5^9 - 131965722/28227401*c_0101_5^8 - 42713625/28227401*c_0101_5^7 + 332308356/28227401*c_0101_5^6 + 3305942/600583*c_0101_5^5 - 161669359/28227401*c_0101_5^4 + 53259253/28227401*c_0101_5^3 - 75251169/28227401*c_0101_5^2 + 58548919/28227401*c_0101_5 + 19591453/28227401, c_0101_3 - 14745217/28227401*c_0101_5^14 + 31297533/28227401*c_0101_5^13 + 144259640/28227401*c_0101_5^12 - 276214779/28227401*c_0101_5^11 - 263803489/28227401*c_0101_5^10 + 431146495/28227401*c_0101_5^9 + 6896677/28227401*c_0101_5^8 + 75792608/28227401*c_0101_5^7 - 218819896/28227401*c_0101_5^6 - 548165/600583*c_0101_5^5 + 150707664/28227401*c_0101_5^4 - 53281364/28227401*c_0101_5^3 + 95725040/28227401*c_0101_5^2 - 29675903/28227401*c_0101_5 + 163055/28227401, c_0101_5^15 - 2*c_0101_5^14 - 10*c_0101_5^13 + 17*c_0101_5^12 + 20*c_0101_5^11 - 21*c_0101_5^10 - 4*c_0101_5^9 - 21*c_0101_5^8 + 9*c_0101_5^7 + 6*c_0101_5^6 - 2*c_0101_5^5 + 10*c_0101_5^4 - 7*c_0101_5^3 + 5*c_0101_5^2 - c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB