Magma V2.19-8 Wed Aug 21 2013 00:25:41 on localhost [Seed = 3751398572] Type ? for help. Type -D to quit. Loading file "K14n14305__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n14305 geometric_solution 12.15454674 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.105165482606 1.178182174966 0 2 3 4 0132 1230 3120 0132 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 7 0 -7 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 0.128485155206 0.520561548948 0 0 1 5 3120 0132 3012 0132 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 1 0 -1 1 0 -7 6 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.075162600617 0.842056101265 6 7 1 0 0132 0132 3120 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 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 0.372836706165 0.772991152202 6 5 1 8 2103 1023 0132 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 -6 7 -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 0.745225334221 1.703997047144 4 9 2 7 1023 0132 0132 0213 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 -1 1 0 6 0 -6 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 0.085825597716 0.574023184879 3 10 4 11 0132 0132 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 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 0.245905176338 0.769652537688 12 3 11 5 0132 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.245905176338 0.769652537688 9 12 4 11 2310 3201 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.494014506929 0.524261757233 10 5 8 11 3120 0132 3201 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.047959494203 1.010331521697 12 6 12 9 1023 0132 1230 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.332393924834 1.293975840027 8 9 6 7 3120 0321 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 0 0 0 0 0 -1 1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.485825373173 0.813504259716 7 10 8 10 0132 1023 2310 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.332393924834 1.293975840027 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_8']), 'c_1001_10' : negation(d['c_0011_8']), 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : negation(d['c_0101_8']), 'c_1001_8' : negation(d['c_0101_12']), 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : d['c_0011_4'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_11'], '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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : negation(d['c_0011_8']), 'c_1100_8' : negation(d['c_0101_11']), 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_1']), 'c_1100_4' : negation(d['c_0101_11']), 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : negation(d['c_1001_1']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_8']), 'c_1100_10' : d['c_0101_7'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_1001_1']), 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : negation(d['c_0101_8']), 'c_1010_4' : negation(d['c_0101_12']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : negation(d['c_0011_11']), '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_8'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_7']), 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0101_7'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0101_12']), 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_7, c_0101_8, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 10774186771918/54195928065*c_1001_1^17 - 28460133718/30108848925*c_1001_1^16 + 45459832227688/18065309355*c_1001_1^15 - 73055640027/10036282975*c_1001_1^14 - 24818548370028/2007256595*c_1001_1^13 + 2016277974668/10036282975*c_1001_1^12 + 1143868410989512/54195928065*c_1001_1^11 - 39364993146203/30108848925*c_1001_1^10 + 94402014337058/18065309355*c_1001_1^9 + 31706283366893/10036282975*c_1001_1^8 - 1139451063051394/54195928065*c_1001_1^7 - 52390793842294/30108848925*c_1001_1^6 - 1890858937740706/54195928065*c_1001_1^5 - 58206701647576/30108848925*c_1001_1^4 - 699332962416388/54195928065*c_1001_1^3 - 37185079023178/30108848925*c_1001_1^2 - 117425373762412/54195928065*c_1001_1 + 4171204350353/30108848925, c_0011_0 - 1, c_0011_10 - 30470630/1204353957*c_1001_1^17 + 121698246/401451319*c_1001_1^15 - 543577640/401451319*c_1001_1^13 + 1935051329/1204353957*c_1001_1^11 + 972032431/401451319*c_1001_1^9 - 1809671366/1204353957*c_1001_1^7 - 9199982978/1204353957*c_1001_1^5 - 4905727181/1204353957*c_1001_1^3 - 1859505620/1204353957*c_1001_1, c_0011_11 - 101955103/1204353957*c_1001_1^17 - 995789/401451319*c_1001_1^16 + 430009903/401451319*c_1001_1^15 + 11817991/401451319*c_1001_1^14 - 2114745009/401451319*c_1001_1^13 - 51383367/401451319*c_1001_1^12 + 10903920682/1204353957*c_1001_1^11 + 52693814/401451319*c_1001_1^10 + 740834507/401451319*c_1001_1^9 + 111332342/401451319*c_1001_1^8 - 9958737082/1204353957*c_1001_1^7 - 22576384/401451319*c_1001_1^6 - 18041413279/1204353957*c_1001_1^5 - 261725404/401451319*c_1001_1^4 - 7236166219/1204353957*c_1001_1^3 - 328470650/401451319*c_1001_1^2 - 1701625228/1204353957*c_1001_1 - 311222722/401451319, c_0011_4 - 159514565/1204353957*c_1001_1^17 + 995789/401451319*c_1001_1^16 + 659199165/401451319*c_1001_1^15 - 11817991/401451319*c_1001_1^14 - 3136492873/401451319*c_1001_1^13 + 51383367/401451319*c_1001_1^12 + 14541845801/1204353957*c_1001_1^11 - 52693814/401451319*c_1001_1^10 + 2526438181/401451319*c_1001_1^9 - 111332342/401451319*c_1001_1^8 - 13472016200/1204353957*c_1001_1^7 + 22576384/401451319*c_1001_1^6 - 34042998947/1204353957*c_1001_1^5 + 261725404/401451319*c_1001_1^4 - 17746364069/1204353957*c_1001_1^3 + 729921969/401451319*c_1001_1^2 - 4513854605/1204353957*c_1001_1 + 311222722/401451319, c_0011_8 - 196939570/1204353957*c_1001_1^17 + 809188129/401451319*c_1001_1^15 - 3803760301/401451319*c_1001_1^13 + 16722135628/1204353957*c_1001_1^11 + 4211453764/401451319*c_1001_1^9 - 19568588203/1204353957*c_1001_1^7 - 42909784216/1204353957*c_1001_1^5 - 22881840502/1204353957*c_1001_1^3 - 4842423511/1204353957*c_1001_1, c_0101_0 - c_1001_1, c_0101_1 + 30076199/1204353957*c_1001_1^17 - 119309007/401451319*c_1001_1^15 + 529553591/401451319*c_1001_1^13 - 1860955232/1204353957*c_1001_1^11 - 924903585/401451319*c_1001_1^9 + 1771336904/1204353957*c_1001_1^7 + 7586778902/1204353957*c_1001_1^5 + 6589882619/1204353957*c_1001_1^3 + 3090745880/1204353957*c_1001_1, c_0101_11 + 995789/401451319*c_1001_1^16 - 11817991/401451319*c_1001_1^14 + 51383367/401451319*c_1001_1^12 - 52693814/401451319*c_1001_1^10 - 111332342/401451319*c_1001_1^8 + 22576384/401451319*c_1001_1^6 + 261725404/401451319*c_1001_1^4 + 729921969/401451319*c_1001_1^2 + 311222722/401451319, c_0101_12 + 159514565/1204353957*c_1001_1^17 - 995789/401451319*c_1001_1^16 - 659199165/401451319*c_1001_1^15 + 11817991/401451319*c_1001_1^14 + 3136492873/401451319*c_1001_1^13 - 51383367/401451319*c_1001_1^12 - 14541845801/1204353957*c_1001_1^11 + 52693814/401451319*c_1001_1^10 - 2526438181/401451319*c_1001_1^9 + 111332342/401451319*c_1001_1^8 + 13472016200/1204353957*c_1001_1^7 - 22576384/401451319*c_1001_1^6 + 34042998947/1204353957*c_1001_1^5 - 261725404/401451319*c_1001_1^4 + 17746364069/1204353957*c_1001_1^3 - 729921969/401451319*c_1001_1^2 + 4513854605/1204353957*c_1001_1 - 311222722/401451319, c_0101_7 - 196939570/1204353957*c_1001_1^17 + 809188129/401451319*c_1001_1^15 - 3803760301/401451319*c_1001_1^13 + 16722135628/1204353957*c_1001_1^11 + 4211453764/401451319*c_1001_1^9 - 19568588203/1204353957*c_1001_1^7 - 42909784216/1204353957*c_1001_1^5 - 22881840502/1204353957*c_1001_1^3 - 4842423511/1204353957*c_1001_1, c_0101_8 + 101955103/1204353957*c_1001_1^17 - 995789/401451319*c_1001_1^16 - 430009903/401451319*c_1001_1^15 + 11817991/401451319*c_1001_1^14 + 2114745009/401451319*c_1001_1^13 - 51383367/401451319*c_1001_1^12 - 10903920682/1204353957*c_1001_1^11 + 52693814/401451319*c_1001_1^10 - 740834507/401451319*c_1001_1^9 + 111332342/401451319*c_1001_1^8 + 9958737082/1204353957*c_1001_1^7 - 22576384/401451319*c_1001_1^6 + 18041413279/1204353957*c_1001_1^5 - 261725404/401451319*c_1001_1^4 + 7236166219/1204353957*c_1001_1^3 - 328470650/401451319*c_1001_1^2 + 1701625228/1204353957*c_1001_1 - 311222722/401451319, c_1001_0 - 995789/401451319*c_1001_1^16 + 11817991/401451319*c_1001_1^14 - 51383367/401451319*c_1001_1^12 + 52693814/401451319*c_1001_1^10 + 111332342/401451319*c_1001_1^8 - 22576384/401451319*c_1001_1^6 - 261725404/401451319*c_1001_1^4 - 729921969/401451319*c_1001_1^2 - 311222722/401451319, c_1001_1^18 - 12*c_1001_1^16 + 54*c_1001_1^14 - 67*c_1001_1^12 - 87*c_1001_1^10 + 70*c_1001_1^8 + 250*c_1001_1^6 + 193*c_1001_1^4 + 70*c_1001_1^2 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 7.660 Total time: 7.860 seconds, Total memory usage: 64.12MB