Magma V2.19-8 Tue Aug 20 2013 23:38:23 on localhost [Seed = 1646528071] Type ? for help. Type -D to quit. Loading file "K14n12461__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n12461 geometric_solution 9.03549480 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 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 -1 1 0 0 0 0 18 -17 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.654854922833 0.957847430461 0 5 2 4 0132 0132 1023 1023 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 -18 0 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450474538511 0.257843238904 6 0 1 7 0132 0132 1023 0132 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 17 -18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.392260072462 1.266002397114 4 6 8 0 1023 3201 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 -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 0.421224994528 0.421927037016 8 3 0 1 0132 1023 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.436056128804 1.259418907895 9 1 9 6 0132 0132 0321 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.539679929002 0.698079356493 2 7 3 5 0132 3120 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.539679929002 0.698079356493 9 6 2 8 3012 3120 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 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 0.435737500493 0.483707122343 4 9 7 3 0132 2103 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 1 -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 0.629122576562 1.585431753188 5 8 5 7 0132 2103 0321 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539679929002 0.698079356493 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_1001_0']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : negation(d['c_0011_0']), 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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_2_7' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_8'], 'c_1100_8' : d['c_1100_0'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0101_6'], 'c_1010_8' : negation(d['c_0101_6']), '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_3'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_7']), 'c_0101_8' : d['c_0101_8'], 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_8'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0101_8, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 7273470348/1156596709*c_1100_0^12 - 36409379172/1156596709*c_1100_0^11 + 91270822909/1156596709*c_1100_0^10 - 100436257271/1156596709*c_1100_0^9 + 2473469631/60873511*c_1100_0^8 - 49041739183/1156596709*c_1100_0^7 + 54413265945/1156596709*c_1100_0^6 - 66715545340/1156596709*c_1100_0^5 + 72820105834/1156596709*c_1100_0^4 - 7446165959/1156596709*c_1100_0^3 + 45705234/3203869*c_1100_0^2 - 16175322550/1156596709*c_1100_0 + 14112191581/1156596709, c_0011_0 - 1, c_0011_3 - 268010284/1156596709*c_1100_0^12 + 1027719408/1156596709*c_1100_0^11 - 1880906981/1156596709*c_1100_0^10 - 44412664/1156596709*c_1100_0^9 + 138676301/60873511*c_1100_0^8 - 1496844201/1156596709*c_1100_0^7 + 1249369953/1156596709*c_1100_0^6 + 1410016672/1156596709*c_1100_0^5 - 41033988/1156596709*c_1100_0^4 - 2505860386/1156596709*c_1100_0^3 - 58594046/60873511*c_1100_0^2 - 565584402/1156596709*c_1100_0 - 1211062549/1156596709, c_0011_7 - 813035576/1156596709*c_1100_0^12 + 3308090072/1156596709*c_1100_0^11 - 6823724986/1156596709*c_1100_0^10 + 4050831746/1156596709*c_1100_0^9 - 2845164/3203869*c_1100_0^8 + 8359184184/1156596709*c_1100_0^7 - 4762801353/1156596709*c_1100_0^6 + 4424828489/1156596709*c_1100_0^5 - 4340847519/1156596709*c_1100_0^4 - 3348755884/1156596709*c_1100_0^3 - 311424663/60873511*c_1100_0^2 + 289464173/1156596709*c_1100_0 - 388707924/1156596709, c_0101_0 + 190353992/1156596709*c_1100_0^12 - 1183571212/1156596709*c_1100_0^11 + 3651673754/1156596709*c_1100_0^10 - 5949409357/1156596709*c_1100_0^9 + 257765853/60873511*c_1100_0^8 - 1710862761/1156596709*c_1100_0^7 - 289849358/1156596709*c_1100_0^6 - 2049554879/1156596709*c_1100_0^5 + 2885416909/1156596709*c_1100_0^4 - 677811272/1156596709*c_1100_0^3 + 1457358/3203869*c_1100_0^2 + 1126693308/1156596709*c_1100_0 + 812665581/1156596709, c_0101_1 - 1139667116/1156596709*c_1100_0^12 + 5714645360/1156596709*c_1100_0^11 - 14450893353/1156596709*c_1100_0^10 + 15984484736/1156596709*c_1100_0^9 - 367684544/60873511*c_1100_0^8 + 4698374233/1156596709*c_1100_0^7 - 4489652522/1156596709*c_1100_0^6 + 8218829356/1156596709*c_1100_0^5 - 9498234144/1156596709*c_1100_0^4 + 32420809/1156596709*c_1100_0^3 - 18496600/60873511*c_1100_0^2 - 648456357/1156596709*c_1100_0 - 891537749/1156596709, c_0101_2 + 1625482516/1156596709*c_1100_0^12 - 7967633608/1156596709*c_1100_0^11 + 19565835183/1156596709*c_1100_0^10 - 20335072942/1156596709*c_1100_0^9 + 400728594/60873511*c_1100_0^8 - 7354028966/1156596709*c_1100_0^7 + 5613645978/1156596709*c_1100_0^6 - 8910047156/1156596709*c_1100_0^5 + 12236213173/1156596709*c_1100_0^4 + 2696612143/1156596709*c_1100_0^3 + 2573221/3203869*c_1100_0^2 + 1370326908/1156596709*c_1100_0 + 734094189/1156596709, c_0101_6 + 1625482516/1156596709*c_1100_0^12 - 7967633608/1156596709*c_1100_0^11 + 19565835183/1156596709*c_1100_0^10 - 20335072942/1156596709*c_1100_0^9 + 400728594/60873511*c_1100_0^8 - 7354028966/1156596709*c_1100_0^7 + 5613645978/1156596709*c_1100_0^6 - 8910047156/1156596709*c_1100_0^5 + 12236213173/1156596709*c_1100_0^4 + 2696612143/1156596709*c_1100_0^3 + 2573221/3203869*c_1100_0^2 + 1370326908/1156596709*c_1100_0 + 734094189/1156596709, c_0101_8 + 268010284/1156596709*c_1100_0^12 - 1027719408/1156596709*c_1100_0^11 + 1880906981/1156596709*c_1100_0^10 + 44412664/1156596709*c_1100_0^9 - 138676301/60873511*c_1100_0^8 + 1496844201/1156596709*c_1100_0^7 - 1249369953/1156596709*c_1100_0^6 - 1410016672/1156596709*c_1100_0^5 + 41033988/1156596709*c_1100_0^4 + 2505860386/1156596709*c_1100_0^3 + 58594046/60873511*c_1100_0^2 + 565584402/1156596709*c_1100_0 + 1211062549/1156596709, c_1001_0 + 820128232/1156596709*c_1100_0^12 - 4818257812/1156596709*c_1100_0^11 + 13934283562/1156596709*c_1100_0^10 - 20353521227/1156596709*c_1100_0^9 + 768485287/60873511*c_1100_0^8 - 7219450071/1156596709*c_1100_0^7 + 6144450815/1156596709*c_1100_0^6 - 8526629375/1156596709*c_1100_0^5 + 9716933549/1156596709*c_1100_0^4 - 3888120981/1156596709*c_1100_0^3 - 49651486/60873511*c_1100_0^2 + 706639487/1156596709*c_1100_0 + 720569270/1156596709, c_1100_0^13 - 5*c_1100_0^12 + 51/4*c_1100_0^11 - 59/4*c_1100_0^10 + 17/2*c_1100_0^9 - 31/4*c_1100_0^8 + 6*c_1100_0^7 - 17/2*c_1100_0^6 + 39/4*c_1100_0^5 - 3/4*c_1100_0^4 + 2*c_1100_0^3 + 1/4*c_1100_0^2 + c_1100_0 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB