Magma V2.19-8 Tue Aug 20 2013 23:38:19 on localhost [Seed = 3769009359] Type ? for help. Type -D to quit. Loading file "K13n1861__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1861 geometric_solution 8.56884551 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 10 1 1 2 3 0132 1302 0132 0132 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 -1 0 1 1 0 0 -1 0 0 0 0 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.520192077391 0.981337547791 0 4 5 0 0132 0132 0132 2031 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 3 -1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.402105456186 0.822414895073 6 7 5 0 0132 0132 2310 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.095273547029 0.939534386064 6 8 0 9 3120 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 -1 1 0 0 1 -1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.020650357442 0.532538903098 9 1 8 8 1302 0132 2103 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 0 -1 1 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 1.180870984879 0.808037459637 6 2 7 1 2103 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301130154200 0.597830173506 2 9 5 3 0132 0321 2103 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 -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 0.044539109577 0.398544170976 9 2 5 8 0321 0132 1023 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.826318346876 1.650393016308 4 3 4 7 2103 0132 2031 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.662351028541 0.340209966343 7 4 3 6 0321 2031 0132 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 -1 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 0.379789776994 0.292301062287 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : negation(d['c_0110_4']), 'c_1001_8' : negation(d['c_0110_4']), 's_2_8' : d['1'], 's_2_9' : 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_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_0011_5'], 'c_1100_8' : negation(d['c_1001_1']), 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_0011_9']), 'c_1100_7' : d['c_1001_3'], 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_5'], 'c_1010_7' : negation(d['c_1001_1']), 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_3'], 'c_1010_9' : d['c_0011_0'], 'c_1010_8' : d['c_1001_3'], 's_3_1' : negation(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' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_2'], 'c_0101_7' : negation(d['c_0101_2']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_9']), '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' : d['c_0101_2'], 'c_0101_8' : negation(d['c_0011_9']), 'c_0110_9' : d['c_0011_2'], 'c_0110_8' : d['c_0011_9'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_9']), '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_2, c_0011_5, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0110_4, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 226603404/144317825*c_1001_3^11 - 12082052/4557405*c_1001_3^10 + 1713812537/432953475*c_1001_3^9 + 4647725449/432953475*c_1001_3^8 - 307561159/144317825*c_1001_3^7 - 12597890744/432953475*c_1001_3^6 - 7724324441/432953475*c_1001_3^5 + 13397028412/432953475*c_1001_3^4 + 9077863322/432953475*c_1001_3^3 - 3889939049/144317825*c_1001_3^2 - 5285396352/144317825*c_1001_3 - 217529164/17318139, c_0011_0 - 1, c_0011_2 - 484694/5772713*c_1001_3^11 - 73909/303827*c_1001_3^10 + 1467838/17318139*c_1001_3^9 + 14919701/17318139*c_1001_3^8 + 10872010/17318139*c_1001_3^7 - 31291517/17318139*c_1001_3^6 - 18236982/5772713*c_1001_3^5 + 10336055/17318139*c_1001_3^4 + 66554560/17318139*c_1001_3^3 + 17909417/17318139*c_1001_3^2 - 67205842/17318139*c_1001_3 - 60190654/17318139, c_0011_5 - 14007068/86590695*c_1001_3^11 - 130366/303827*c_1001_3^10 + 6197636/28863565*c_1001_3^9 + 155050046/86590695*c_1001_3^8 + 83838922/86590695*c_1001_3^7 - 354074161/86590695*c_1001_3^6 - 163816623/28863565*c_1001_3^5 + 71787151/28863565*c_1001_3^4 + 703133518/86590695*c_1001_3^3 - 3762203/86590695*c_1001_3^2 - 664210954/86590695*c_1001_3 - 22636569/5772713, c_0011_9 + 20712452/86590695*c_1001_3^11 + 91354/303827*c_1001_3^10 - 72143362/86590695*c_1001_3^9 - 129979159/86590695*c_1001_3^8 + 88486792/86590695*c_1001_3^7 + 135322418/28863565*c_1001_3^6 + 30564982/28863565*c_1001_3^5 - 570711572/86590695*c_1001_3^4 - 198639692/86590695*c_1001_3^3 + 146178684/28863565*c_1001_3^2 + 362296496/86590695*c_1001_3 - 15172240/17318139, c_0101_0 - 1629164/28863565*c_1001_3^11 - 63492/303827*c_1001_3^10 + 1849297/86590695*c_1001_3^9 + 69814169/86590695*c_1001_3^8 + 53579608/86590695*c_1001_3^7 - 142685414/86590695*c_1001_3^6 - 80572637/28863565*c_1001_3^5 + 79068182/86590695*c_1001_3^4 + 332234362/86590695*c_1001_3^3 - 36746812/86590695*c_1001_3^2 - 296843746/86590695*c_1001_3 - 20900312/17318139, c_0101_1 + 17149006/86590695*c_1001_3^11 + 374759/911481*c_1001_3^10 - 38213071/86590695*c_1001_3^9 - 51858789/28863565*c_1001_3^8 - 36870034/86590695*c_1001_3^7 + 388765667/86590695*c_1001_3^6 + 409459613/86590695*c_1001_3^5 - 333576251/86590695*c_1001_3^4 - 202852152/28863565*c_1001_3^3 + 30895572/28863565*c_1001_3^2 + 568873588/86590695*c_1001_3 + 17612400/5772713, c_0101_2 - 484694/5772713*c_1001_3^11 - 73909/303827*c_1001_3^10 + 1467838/17318139*c_1001_3^9 + 14919701/17318139*c_1001_3^8 + 10872010/17318139*c_1001_3^7 - 31291517/17318139*c_1001_3^6 - 18236982/5772713*c_1001_3^5 + 10336055/17318139*c_1001_3^4 + 66554560/17318139*c_1001_3^3 + 17909417/17318139*c_1001_3^2 - 67205842/17318139*c_1001_3 - 60190654/17318139, c_0110_4 - 26486182/86590695*c_1001_3^11 - 216547/303827*c_1001_3^10 + 51497972/86590695*c_1001_3^9 + 265591634/86590695*c_1001_3^8 + 87490813/86590695*c_1001_3^7 - 207965598/28863565*c_1001_3^6 - 246881172/28863565*c_1001_3^5 + 483436432/86590695*c_1001_3^4 + 1045674727/86590695*c_1001_3^3 - 40372804/28863565*c_1001_3^2 - 1028216311/86590695*c_1001_3 - 94510552/17318139, c_1001_1 + 29444096/86590695*c_1001_3^11 + 547490/911481*c_1001_3^10 - 73064771/86590695*c_1001_3^9 - 76690079/28863565*c_1001_3^8 + 4390841/86590695*c_1001_3^7 + 202690359/28863565*c_1001_3^6 + 490443788/86590695*c_1001_3^5 - 601979941/86590695*c_1001_3^4 - 243076482/28863565*c_1001_3^3 + 301223021/86590695*c_1001_3^2 + 887283568/86590695*c_1001_3 + 59834159/17318139, c_1001_3^12 + 5/2*c_1001_3^11 - c_1001_3^10 - 19/2*c_1001_3^9 - 13/2*c_1001_3^8 + 39/2*c_1001_3^7 + 33*c_1001_3^6 - 7/2*c_1001_3^5 - 77/2*c_1001_3^4 - 14*c_1001_3^3 + 33*c_1001_3^2 + 35*c_1001_3 + 25/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB