Magma V2.19-8 Tue Aug 20 2013 23:47:18 on localhost [Seed = 930176374] Type ? for help. Type -D to quit. Loading file "L10a105__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a105 geometric_solution 10.87766351 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 1 0 0 0 0 0 1 0 -1 0 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 1 0 -1 -2 0 2 0 1 -2 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.058333607038 0.958167216315 0 5 2 6 0132 0132 2103 0132 0 0 0 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 0 0 0 0 0 0 0 2 0 0 -2 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.816967131698 0.664834945474 1 0 3 7 2103 0132 0213 0132 0 0 0 1 0 0 0 0 0 0 1 -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 -1 0 1 0 0 -1 1 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.857171697783 0.545052814038 4 2 8 0 0213 0213 0132 0132 0 0 0 1 0 0 0 0 0 0 -1 1 0 -1 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 2 -2 0 1 0 -1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.071557329072 0.566710628061 3 9 0 6 0213 0132 0132 2310 0 0 0 1 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 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 0.638029428213 0.919860369261 10 1 11 10 0132 0132 0132 2031 0 0 1 0 0 0 0 0 0 0 -1 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 0 0 0 0 2 -2 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.714343395567 1.090105628076 4 11 1 11 3201 2103 0132 3120 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 0 2 0 -2 0 0 2 -2 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.980046795685 1.277825429467 8 9 2 10 0321 1023 0132 0132 0 0 1 0 0 1 0 -1 -1 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 -1 -1 2 1 0 -1 0 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.449877725272 1.716796435490 7 9 11 3 0321 0321 0321 0132 0 0 1 0 0 0 0 0 0 0 -1 1 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 2 -2 -2 0 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.640305305001 0.594277681739 7 4 10 8 1023 0132 2031 0321 0 0 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.420544180053 0.641760783925 5 5 7 9 0132 1302 0132 1302 0 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 0 0 0 0 0 2 -2 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 0.579455819947 0.641760783925 6 6 8 5 3120 2103 0321 0132 0 0 0 0 0 0 0 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 0 0 0 2 0 0 -2 1 -2 0 1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.683291226906 0.681305328067 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_6'], 'c_1001_10' : negation(d['c_0011_8']), 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_9'], 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0101_9'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_5']), 'c_1001_8' : d['c_1001_8'], 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : negation(d['c_1001_8']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_8']), '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_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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_6'], 'c_1100_5' : d['c_1001_8'], 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0101_9'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_8'], 'c_1100_10' : d['c_0101_9'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0101_9'], 'c_1010_2' : d['c_0101_9'], 'c_1010_1' : d['c_0011_11'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], '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'], '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_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0101_5'], 'c_0110_0' : d['c_0011_3'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_11']), 'c_0011_10' : negation(d['c_0011_0']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_8'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : negation(d['c_0011_8']), 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : d['c_0101_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_3, c_0011_4, c_0011_6, c_0011_8, c_0101_0, c_0101_11, c_0101_5, c_0101_9, c_1001_2, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 4683700599316131883309/49266002492896053425*c_1001_8^7 + 15977492987648508917097/98532004985792106850*c_1001_8^6 - 11685322839347859663853/98532004985792106850*c_1001_8^5 + 51890862660365122364183/98532004985792106850*c_1001_8^4 - 54751566491874518502184/49266002492896053425*c_1001_8^3 + 68475258334550397368711/98532004985792106850*c_1001_8^2 + 1439913035913415947789/98532004985792106850*c_1001_8 - 47074173322240081722/553550589807820825, c_0011_0 - 1, c_0011_11 - 1559086951884068/2992165350312545*c_1001_8^7 + 370401173326990/598433070062509*c_1001_8^6 + 1790813118386268/2992165350312545*c_1001_8^5 + 8989242816750897/2992165350312545*c_1001_8^4 - 11603247953688832/2992165350312545*c_1001_8^3 - 1531590029824995/598433070062509*c_1001_8^2 + 7818673910327882/2992165350312545*c_1001_8 + 2608907553874013/2992165350312545, c_0011_3 + 1080161455061182/598433070062509*c_1001_8^7 - 13822520184312401/2992165350312545*c_1001_8^6 + 8347985685481833/2992165350312545*c_1001_8^5 - 31578346413369813/2992165350312545*c_1001_8^4 + 85026301855319278/2992165350312545*c_1001_8^3 - 60512979707128818/2992165350312545*c_1001_8^2 - 8297173472545971/2992165350312545*c_1001_8 + 14689711858478757/2992165350312545, c_0011_4 - 2123262840265571/272015031846595*c_1001_8^7 + 1651648424398132/272015031846595*c_1001_8^6 - 229097086067762/54403006369319*c_1001_8^5 + 2168783069785915/54403006369319*c_1001_8^4 - 2888989755010255/54403006369319*c_1001_8^3 + 2614064905729196/272015031846595*c_1001_8^2 + 2282903112499051/272015031846595*c_1001_8 - 431068871745678/272015031846595, c_0011_6 + 8413577575927699/2992165350312545*c_1001_8^7 - 6259537866795222/2992165350312545*c_1001_8^6 + 5062734599252472/2992165350312545*c_1001_8^5 - 42783717564609622/2992165350312545*c_1001_8^4 + 56767316368150162/2992165350312545*c_1001_8^3 - 11407900344827996/2992165350312545*c_1001_8^2 - 7839636045440668/2992165350312545*c_1001_8 + 108751824089374/598433070062509, c_0011_8 + 5695339122440811/2992165350312545*c_1001_8^7 - 3331527313709138/2992165350312545*c_1001_8^6 - 281900981795227/2992165350312545*c_1001_8^5 - 28614094173959183/2992165350312545*c_1001_8^4 + 30621942260699948/2992165350312545*c_1001_8^3 + 12049089623809211/2992165350312545*c_1001_8^2 - 14469542856762047/2992165350312545*c_1001_8 - 318919202226415/598433070062509, c_0101_0 - 1, c_0101_11 + 675258731586257/598433070062509*c_1001_8^7 - 661351985680282/2992165350312545*c_1001_8^6 - 692427069298984/2992165350312545*c_1001_8^5 - 16536691965806706/2992165350312545*c_1001_8^4 + 12086257648152651/2992165350312545*c_1001_8^3 + 13255199986370094/2992165350312545*c_1001_8^2 - 7336997709055642/2992165350312545*c_1001_8 - 4528730096595666/2992165350312545, c_0101_5 - 1232258353001840/598433070062509*c_1001_8^7 + 4315341900703472/2992165350312545*c_1001_8^6 - 2207047459459816/2992165350312545*c_1001_8^5 + 30953844586159981/2992165350312545*c_1001_8^4 - 39847671756281216/2992165350312545*c_1001_8^3 - 257226661639584/2992165350312545*c_1001_8^2 + 11899942238599912/2992165350312545*c_1001_8 + 1718462896110476/2992165350312545, c_0101_9 + 5193500363978502/2992165350312545*c_1001_8^7 + 529301895274386/2992165350312545*c_1001_8^6 + 81191795957660/598433070062509*c_1001_8^5 - 4816828222972503/598433070062509*c_1001_8^4 + 2513853468523294/598433070062509*c_1001_8^3 + 18852449823615213/2992165350312545*c_1001_8^2 - 6855321507783402/2992165350312545*c_1001_8 - 3456387289004774/2992165350312545, c_1001_2 + 2142944399121590/598433070062509*c_1001_8^7 - 10693695876999467/2992165350312545*c_1001_8^6 + 7541779397005481/2992165350312545*c_1001_8^5 - 56222636501232271/2992165350312545*c_1001_8^4 + 85122224140840211/2992165350312545*c_1001_8^3 - 27083041686077456/2992165350312545*c_1001_8^2 - 8439184234566397/2992165350312545*c_1001_8 + 1259172998081704/2992165350312545, c_1001_8^8 - 306/277*c_1001_8^7 + 144/277*c_1001_8^6 - 1410/277*c_1001_8^5 + 2320/277*c_1001_8^4 - 562/277*c_1001_8^3 - 680/277*c_1001_8^2 + 178/277*c_1001_8 + 89/277 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.300 seconds, Total memory usage: 32.09MB