Magma V2.19-8 Thu Sep 12 2013 15:35:32 on localhost [Seed = 3737033498] Type ? for help. Type -D to quit. Loading file "10_119__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_119 geometric_solution 15.93869413 oriented_manifold CS_known -0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 17 1 2 3 4 0132 0132 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 0 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.023550482282 0.690523951023 0 5 6 2 0132 0132 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 0 0 0 0 0 -1 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446201013464 1.089767420347 4 0 7 1 1023 0132 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 0 -1 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.170225569784 0.942278805589 8 9 7 0 0132 0132 1302 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 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.275693988397 1.410206306549 5 2 0 10 0132 1023 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 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 0.384030323097 0.772925795556 4 1 11 12 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.132582645763 0.963909545013 13 14 10 1 0132 0132 0213 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 -1 0 -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 0.653235464576 1.493958350652 3 9 10 2 2031 0321 2031 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 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 0.270976836673 0.764265807055 3 15 9 16 0132 0132 1023 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 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 -0.072419259968 0.694330426634 15 3 8 7 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.150967059605 0.725646087216 16 6 4 7 3012 0213 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.148435792601 1.223692562917 16 14 14 5 1023 0321 3201 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 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 0.271508414960 0.660203180268 13 14 5 13 2103 0213 0132 3201 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 1 0 0 -1 4 -1 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.463806384770 0.770791575104 6 12 12 15 0132 2310 2103 2103 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 3 -4 1 1 0 -1 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.463806384770 0.770791575104 11 6 12 11 2310 0132 0213 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 -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 0.271508414960 0.660203180268 9 8 16 13 0132 0132 2103 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 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 0.155646976823 1.335991180736 15 11 8 10 2103 1023 0132 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 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 0.661473163599 1.033221116910 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_0' : d['1'], 'c_1001_15' : d['c_0011_11'], 'c_1001_14' : d['c_1001_1'], 'c_1001_16' : d['c_0011_11'], 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : d['c_0110_2'], 'c_1001_13' : d['c_0011_12'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_0110_2'], 'c_1001_4' : d['c_0101_2'], 'c_1001_7' : negation(d['c_0110_10']), 'c_1001_6' : d['c_0110_2'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0101_0'], 'c_1001_8' : d['c_0101_9'], 'c_1010_13' : negation(d['c_0101_9']), 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : d['c_0110_2'], 'c_1010_10' : d['c_1010_10'], 'c_1010_16' : d['c_0101_10'], 'c_1010_15' : d['c_0101_9'], 'c_1010_14' : d['c_0110_2'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_0_15' : d['1'], 's_0_16' : d['1'], 's_3_16' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_1'], 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : d['c_0101_10'], 'c_0101_16' : negation(d['c_0011_7']), 'c_0101_15' : negation(d['c_0011_7']), 'c_0101_14' : d['c_0011_12'], '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_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_16' : d['1'], 's_2_14' : d['1'], 's_2_15' : 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_15' : d['c_0011_15'], 'c_0011_14' : d['c_0011_13'], 'c_0011_16' : d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0110_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_13']), 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : negation(d['c_1010_10']), 'c_1100_6' : d['c_1010_10'], 'c_1100_1' : d['c_1010_10'], 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : negation(d['c_1010_10']), 'c_1100_15' : negation(d['c_0011_10']), 's_3_11' : d['1'], 'c_1100_16' : d['c_0110_10'], 'c_1100_11' : negation(d['c_0011_13']), 'c_1100_10' : d['c_0101_7'], 'c_1100_13' : negation(d['c_0101_9']), 's_3_10' : d['1'], 'c_1100_9' : negation(d['c_0110_10']), 's_3_13' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 's_0_13' : d['1'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0110_2'], 'c_1100_14' : negation(d['c_0011_12']), 's_3_15' : d['1'], 'c_1010_9' : d['c_0101_2'], 'c_1010_8' : d['c_0011_11'], 's_3_1' : d['1'], 'c_0101_13' : d['c_0101_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' : negation(d['c_0011_13']), '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_15']), 'c_0011_8' : negation(d['c_0011_15']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_13']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_15'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0110_10'], 'c_0110_13' : d['c_0011_10'], 'c_0110_12' : d['c_0101_9'], 'c_0110_15' : d['c_0101_9'], 'c_0110_14' : negation(d['c_0011_11']), 'c_0110_16' : d['c_0011_10'], 'c_1010_4' : d['c_0110_2'], 'c_1010_0' : d['c_0101_2'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_3_14' : d['1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 's_1_16' : d['1'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : negation(d['c_0011_7']), '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_0110_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0011_15, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_0101_9, c_0110_10, c_0110_2, c_1001_1, c_1010_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 934105897417316/492651005*c_1010_10^9 + 10548736969134229/492651005*c_1010_10^8 - 48860498698860336/492651005*c_1010_10^7 + 24719794266194974/98530201*c_1010_10^6 - 40866329668716863/98530201*c_1010_10^5 + 18940875462379344/44786455*c_1010_10^4 - 23033850105061407/98530201*c_1010_10^3 + 14080609068784609/492651005*c_1010_10^2 + 10845418108142164/492651005*c_1010_10 - 3185116952191952/492651005, c_0011_0 - 1, c_0011_10 + 62640/83713*c_1010_10^9 - 678103/83713*c_1010_10^8 + 2963855/83713*c_1010_10^7 - 6949059/83713*c_1010_10^6 + 10643938/83713*c_1010_10^5 - 9382355/83713*c_1010_10^4 + 3828934/83713*c_1010_10^3 + 457782/83713*c_1010_10^2 - 434410/83713*c_1010_10 + 17714/83713, c_0011_11 + 70402/83713*c_1010_10^9 - 784071/83713*c_1010_10^8 + 3571527/83713*c_1010_10^7 - 8873391/83713*c_1010_10^6 + 14482856/83713*c_1010_10^5 - 14450622/83713*c_1010_10^4 + 7898782/83713*c_1010_10^3 - 978358/83713*c_1010_10^2 - 587856/83713*c_1010_10 + 232725/83713, c_0011_12 + 228268/418565*c_1010_10^9 - 2658527/418565*c_1010_10^8 + 12789858/418565*c_1010_10^7 - 6755500/83713*c_1010_10^6 + 11581914/83713*c_1010_10^5 - 62643247/418565*c_1010_10^4 + 7512436/83713*c_1010_10^3 - 6438892/418565*c_1010_10^2 - 3971217/418565*c_1010_10 + 1275846/418565, c_0011_13 - 54084/418565*c_1010_10^9 + 547361/418565*c_1010_10^8 - 2132679/418565*c_1010_10^7 + 808672/83713*c_1010_10^6 - 853404/83713*c_1010_10^5 - 39629/418565*c_1010_10^4 + 965686/83713*c_1010_10^3 - 4660479/418565*c_1010_10^2 + 1015751/418565*c_1010_10 + 533587/418565, c_0011_15 - 32444/418565*c_1010_10^9 + 444656/418565*c_1010_10^8 - 2537929/418565*c_1010_10^7 + 1580738/83713*c_1010_10^6 - 3055483/83713*c_1010_10^5 + 19243281/418565*c_1010_10^4 - 2809132/83713*c_1010_10^3 + 4064941/418565*c_1010_10^2 + 694616/418565*c_1010_10 - 277003/418565, c_0011_7 + 41879/418565*c_1010_10^9 - 523961/418565*c_1010_10^8 + 2681354/418565*c_1010_10^7 - 1466902/83713*c_1010_10^6 + 2473269/83713*c_1010_10^5 - 12979276/418565*c_1010_10^4 + 1196084/83713*c_1010_10^3 + 422879/418565*c_1010_10^2 - 1091011/418565*c_1010_10 - 27477/418565, c_0101_0 + 347043/418565*c_1010_10^9 - 3736067/418565*c_1010_10^8 + 16142118/418565*c_1010_10^7 - 7399344/83713*c_1010_10^6 + 10949643/83713*c_1010_10^5 - 45012327/418565*c_1010_10^4 + 2812528/83713*c_1010_10^3 + 5730588/418565*c_1010_10^2 - 2261417/418565*c_1010_10 - 204389/418565, c_0101_1 - 68486/418565*c_1010_10^9 + 810954/418565*c_1010_10^8 - 3991621/418565*c_1010_10^7 + 2168883/83713*c_1010_10^6 - 3804403/83713*c_1010_10^5 + 20937149/418565*c_1010_10^4 - 2507520/83713*c_1010_10^3 + 1474079/418565*c_1010_10^2 + 2090009/418565*c_1010_10 - 111382/418565, c_0101_10 - 30820/83713*c_1010_10^9 + 326930/83713*c_1010_10^8 - 1383671/83713*c_1010_10^7 + 3079318/83713*c_1010_10^6 - 4395334/83713*c_1010_10^5 + 3263541/83713*c_1010_10^4 - 575875/83713*c_1010_10^3 - 942250/83713*c_1010_10^2 + 184176/83713*c_1010_10 + 133960/83713, c_0101_2 - 10327/11959*c_1010_10^9 + 114276/11959*c_1010_10^8 - 514316/11959*c_1010_10^7 + 1251365/11959*c_1010_10^6 - 1985806/11959*c_1010_10^5 + 1885403/11959*c_1010_10^4 - 897962/11959*c_1010_10^3 + 11542/11959*c_1010_10^2 + 95305/11959*c_1010_10 - 12588/11959, c_0101_7 + 40108/59795*c_1010_10^9 - 420837/59795*c_1010_10^8 + 1754478/59795*c_1010_10^7 - 766903/11959*c_1010_10^6 + 1084065/11959*c_1010_10^5 - 3952642/59795*c_1010_10^4 + 145686/11959*c_1010_10^3 + 907693/59795*c_1010_10^2 - 211062/59795*c_1010_10 - 86714/59795, c_0101_9 + 30820/83713*c_1010_10^9 - 326930/83713*c_1010_10^8 + 1383671/83713*c_1010_10^7 - 3079318/83713*c_1010_10^6 + 4395334/83713*c_1010_10^5 - 3263541/83713*c_1010_10^4 + 575875/83713*c_1010_10^3 + 942250/83713*c_1010_10^2 - 184176/83713*c_1010_10 - 50247/83713, c_0110_10 - 401013/418565*c_1010_10^9 + 4234957/418565*c_1010_10^8 - 17876858/418565*c_1010_10^7 + 7997354/83713*c_1010_10^6 - 11678084/83713*c_1010_10^5 + 45885647/418565*c_1010_10^4 - 2612083/83713*c_1010_10^3 - 7623423/418565*c_1010_10^2 + 2308947/418565*c_1010_10 + 565274/418565, c_0110_2 + 541468/418565*c_1010_10^9 - 6049042/418565*c_1010_10^8 + 27609133/418565*c_1010_10^7 - 13704559/83713*c_1010_10^6 + 22225852/83713*c_1010_10^5 - 109555022/418565*c_1010_10^4 + 11341370/83713*c_1010_10^3 - 4149982/418565*c_1010_10^2 - 6143267/418565*c_1010_10 + 1364416/418565, c_1001_1 - 68486/418565*c_1010_10^9 + 810954/418565*c_1010_10^8 - 3991621/418565*c_1010_10^7 + 2168883/83713*c_1010_10^6 - 3804403/83713*c_1010_10^5 + 20937149/418565*c_1010_10^4 - 2507520/83713*c_1010_10^3 + 1474079/418565*c_1010_10^2 + 2090009/418565*c_1010_10 - 529947/418565, c_1010_10^10 - 11*c_1010_10^9 + 49*c_1010_10^8 - 117*c_1010_10^7 + 180*c_1010_10^6 - 159*c_1010_10^5 + 58*c_1010_10^4 + 21*c_1010_10^3 - 16*c_1010_10^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2465.950 Total time: 2466.150 seconds, Total memory usage: 15773.06MB