Magma V2.19-8 Tue Aug 20 2013 16:16:15 on localhost [Seed = 2985307507] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0515 geometric_solution 4.52072578 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 -2 0 0 1 -1 1 0 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.267214425070 0.263718784448 0 2 2 0 0132 0132 3201 3201 0 0 0 0 0 -1 0 1 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 -2 0 2 0 0 0 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 -0.730306369639 0.910187293029 1 1 3 4 2310 0132 0132 0132 0 0 0 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 0 0 0 0 0 0 0 0 2 -1 -1 -1 0 1 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 -0.032960401985 0.320028217067 4 4 5 2 1023 3012 0132 0132 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 0 -1 1 1 0 0 -1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.666401953731 1.434681901763 3 3 2 5 1230 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 -1 1 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 0.666401953731 1.434681901763 6 6 4 3 0132 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 -1 0 1 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 -0.862051597466 0.894274019286 5 6 5 6 0132 2310 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.350955499465 0.825776146682 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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_0_6' : 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_6' : d['c_0011_5'], 'c_1100_5' : d['c_1100_2'], 'c_1100_4' : d['c_1100_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_1100_2'], 'c_1100_2' : d['c_1100_2'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_5']), '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' : d['c_0011_0'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 1135032589405/15362997867*c_1100_2^11 + 1164832139297/5120999289*c_1100_2^10 + 5163044109596/15362997867*c_1100_2^9 - 25639309667348/15362997867*c_1100_2^8 + 8866702197440/5120999289*c_1100_2^7 + 9575368513304/15362997867*c_1100_2^6 - 49666074058058/15362997867*c_1100_2^5 + 17882814686309/5120999289*c_1100_2^4 - 10425939178357/5120999289*c_1100_2^3 + 1510492472518/1706999763*c_1100_2^2 - 424624423927/1706999763*c_1100_2 - 177949114156/15362997867, c_0011_0 - 1, c_0011_3 - 23747995973/5120999289*c_1100_2^11 + 69335331631/5120999289*c_1100_2^10 + 117747265738/5120999289*c_1100_2^9 - 57335835360/568999921*c_1100_2^8 + 162048474601/1706999763*c_1100_2^7 + 263144274643/5120999289*c_1100_2^6 - 337191701380/1706999763*c_1100_2^5 + 994674952622/5120999289*c_1100_2^4 - 169941887149/1706999763*c_1100_2^3 + 183133820629/5120999289*c_1100_2^2 - 31154372503/5120999289*c_1100_2 - 1080205912/568999921, c_0011_5 - 4620337072/5120999289*c_1100_2^11 + 27220251179/15362997867*c_1100_2^10 + 104751587611/15362997867*c_1100_2^9 - 231969977621/15362997867*c_1100_2^8 + 5532750736/5120999289*c_1100_2^7 + 44021006332/1706999763*c_1100_2^6 - 447966685693/15362997867*c_1100_2^5 + 71707946441/15362997867*c_1100_2^4 + 213406438582/15362997867*c_1100_2^3 - 180231826636/15362997867*c_1100_2^2 + 110361383647/15362997867*c_1100_2 - 32602699660/15362997867, c_0101_0 - 20982286273/5120999289*c_1100_2^11 + 197640798622/15362997867*c_1100_2^10 + 277788083975/15362997867*c_1100_2^9 - 1449311827126/15362997867*c_1100_2^8 + 516607814780/5120999289*c_1100_2^7 + 170106187975/5120999289*c_1100_2^6 - 2887517748053/15362997867*c_1100_2^5 + 3143394117415/15362997867*c_1100_2^4 - 1752506019421/15362997867*c_1100_2^3 + 653073481651/15362997867*c_1100_2^2 - 142677444397/15362997867*c_1100_2 - 20861471585/15362997867, c_0101_1 + 491726053/95422347*c_1100_2^11 - 1569839632/95422347*c_1100_2^10 - 2060427412/95422347*c_1100_2^9 + 1260475732/10602483*c_1100_2^8 - 4272541117/31807449*c_1100_2^7 - 2675388863/95422347*c_1100_2^6 + 21982086034/95422347*c_1100_2^5 - 25963134367/95422347*c_1100_2^4 + 16425535201/95422347*c_1100_2^3 - 7373422984/95422347*c_1100_2^2 + 2096731000/95422347*c_1100_2 - 27953434/31807449, c_0101_2 + 1752414365/15362997867*c_1100_2^11 + 4738393927/15362997867*c_1100_2^10 - 37598777675/15362997867*c_1100_2^9 - 1405884796/1706999763*c_1100_2^8 + 60583836307/5120999289*c_1100_2^7 - 205448085085/15362997867*c_1100_2^6 - 54468048895/15362997867*c_1100_2^5 + 335580970633/15362997867*c_1100_2^4 - 336987214294/15362997867*c_1100_2^3 + 180817252633/15362997867*c_1100_2^2 - 87304430764/15362997867*c_1100_2 + 7485036565/5120999289, c_1100_2^12 - 50/13*c_1100_2^11 - 28/13*c_1100_2^10 + 26*c_1100_2^9 - 41*c_1100_2^8 + 133/13*c_1100_2^7 + 651/13*c_1100_2^6 - 1065/13*c_1100_2^5 + 847/13*c_1100_2^4 - 433/13*c_1100_2^3 + 154/13*c_1100_2^2 - 27/13*c_1100_2 - 1/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB