Magma V2.19-8 Tue Aug 20 2013 23:38:16 on localhost [Seed = 4240087251] Type ? for help. Type -D to quit. Loading file "K12n25__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n25 geometric_solution 8.39210362 oriented_manifold CS_known -0.0000000000000001 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 0 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 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.231586655797 0.689103769938 0 5 2 4 0132 0132 2103 1230 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 -1 0 1 3 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.709304927580 0.742238142165 1 0 7 6 2103 0132 0132 0132 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 -1 0 1 0 0 1 -1 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.687049912425 0.564033132357 8 9 7 0 0132 0132 3120 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 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.340859328668 1.540907034505 1 8 0 9 3012 0213 0132 2103 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 -1 1 0 0 0 0 0 0 0 0 0 -1 4 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.257310617572 0.483706725569 6 1 9 6 1023 0132 1023 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 -1 0 0 1 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649532654883 0.898905430549 5 5 2 8 3120 1023 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 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 0.471891886403 0.730862794442 9 8 3 2 0132 0132 3120 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 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.231091440298 1.860935965654 3 7 4 6 0132 0132 0213 2103 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 1 -1 0 0 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417862117955 0.484495092537 7 3 5 4 0132 0132 1023 2103 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 -1 0 1 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.040097288739 0.442048033350 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0110_5']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0110_5'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_1001_2'], 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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_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' : negation(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_6'], 'c_1100_8' : negation(d['c_0110_5']), 'c_1100_5' : negation(d['c_0101_6']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_6']), 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : negation(d['c_0101_3']), 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0110_5'], 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : negation(d['c_0110_5']), '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_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_3'], '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_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0011_4'], 'c_0110_9' : d['c_0101_7'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_5']})} 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_4, c_0101_1, c_0101_3, c_0101_5, c_0101_6, c_0101_7, c_0110_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 809968881599/290134547326*c_1001_2^12 + 1489175097825/290134547326*c_1001_2^11 + 517531089323/145067273663*c_1001_2^10 + 276796599101/290134547326*c_1001_2^9 + 605317761817/22318042102*c_1001_2^8 + 10436051441365/290134547326*c_1001_2^7 + 39137674865/2737118371*c_1001_2^6 - 27268716951505/290134547326*c_1001_2^5 - 1378953862037/8533369039*c_1001_2^4 - 405016782220/2737118371*c_1001_2^3 - 10979022200894/145067273663*c_1001_2^2 - 2492326040657/290134547326*c_1001_2 - 435925185025/145067273663, c_0011_0 - 1, c_0011_3 - 54811/237917*c_1001_2^12 - 5359/237917*c_1001_2^11 - 6258/237917*c_1001_2^10 + 11516/237917*c_1001_2^9 - 540256/237917*c_1001_2^8 + 199625/237917*c_1001_2^7 - 2809/4489*c_1001_2^6 + 2044622/237917*c_1001_2^5 - 182285/237917*c_1001_2^4 + 18006/4489*c_1001_2^3 - 920577/237917*c_1001_2^2 + 793867/237917*c_1001_2 + 165850/237917, c_0011_4 + 1267/4489*c_1001_2^12 - 240/4489*c_1001_2^11 + 584/4489*c_1001_2^10 - 224/4489*c_1001_2^9 + 12018/4489*c_1001_2^8 - 7747/4489*c_1001_2^7 + 9564/4489*c_1001_2^6 - 50190/4489*c_1001_2^5 + 14284/4489*c_1001_2^4 - 32196/4489*c_1001_2^3 + 26951/4489*c_1001_2^2 - 21151/4489*c_1001_2 - 2181/4489, c_0101_1 - 112130/237917*c_1001_2^12 - 13821/237917*c_1001_2^11 + 21685/237917*c_1001_2^10 + 2832/237917*c_1001_2^9 - 1128687/237917*c_1001_2^8 + 431207/237917*c_1001_2^7 + 1178/4489*c_1001_2^6 + 3674938/237917*c_1001_2^5 - 338634/237917*c_1001_2^4 + 27257/4489*c_1001_2^3 - 1300527/237917*c_1001_2^2 + 889327/237917*c_1001_2 + 120125/237917, c_0101_3 - 16950/237917*c_1001_2^12 + 27443/237917*c_1001_2^11 + 6759/237917*c_1001_2^10 - 17807/237917*c_1001_2^9 - 162468/237917*c_1001_2^8 + 382577/237917*c_1001_2^7 - 2413/4489*c_1001_2^6 + 421487/237917*c_1001_2^5 - 813371/237917*c_1001_2^4 + 6556/4489*c_1001_2^3 - 492866/237917*c_1001_2^2 + 445446/237917*c_1001_2 - 233768/237917, c_0101_5 - 104744/237917*c_1001_2^12 - 28189/237917*c_1001_2^11 + 54789/237917*c_1001_2^10 - 32639/237917*c_1001_2^9 - 1092060/237917*c_1001_2^8 + 319161/237917*c_1001_2^7 + 8867/4489*c_1001_2^6 + 2835938/237917*c_1001_2^5 + 144446/237917*c_1001_2^4 + 16176/4489*c_1001_2^3 - 147882/237917*c_1001_2^2 + 681303/237917*c_1001_2 + 14922/237917, c_0101_6 - 54487/237917*c_1001_2^12 - 15849/237917*c_1001_2^11 + 36710/237917*c_1001_2^10 - 7945/237917*c_1001_2^9 - 589846/237917*c_1001_2^8 + 164574/237917*c_1001_2^7 + 6783/4489*c_1001_2^6 + 1485215/237917*c_1001_2^5 - 119203/237917*c_1001_2^4 + 9004/4489*c_1001_2^3 - 196354/237917*c_1001_2^2 + 535788/237917*c_1001_2 - 261957/237917, c_0101_7 - 13821/237917*c_1001_2^12 + 21685/237917*c_1001_2^11 + 2832/237917*c_1001_2^10 - 7387/237917*c_1001_2^9 - 129443/237917*c_1001_2^8 + 286694/237917*c_1001_2^7 - 2594/4489*c_1001_2^6 + 446276/237917*c_1001_2^5 - 685849/237917*c_1001_2^4 + 5081/4489*c_1001_2^3 - 568363/237917*c_1001_2^2 + 470172/237917*c_1001_2 - 112130/237917, c_0110_5 + 1101/237917*c_1001_2^12 + 9267/237917*c_1001_2^11 - 14704/237917*c_1001_2^10 - 27169/237917*c_1001_2^9 + 54607/237917*c_1001_2^8 + 85896/237917*c_1001_2^7 - 4518/4489*c_1001_2^6 - 159281/237917*c_1001_2^5 + 255330/237917*c_1001_2^4 + 4132/4489*c_1001_2^3 + 320323/237917*c_1001_2^2 - 414999/237917*c_1001_2 + 179281/237917, c_1001_2^13 + 10*c_1001_2^9 - 5*c_1001_2^8 + 2*c_1001_2^7 - 34*c_1001_2^6 + 7*c_1001_2^5 - 19*c_1001_2^4 + 14*c_1001_2^3 - 13*c_1001_2^2 + c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB