Magma V2.19-8 Wed Aug 21 2013 01:02:50 on localhost [Seed = 2581561971] Type ? for help. Type -D to quit. Loading file "L14n15926__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15926 geometric_solution 11.12360009 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 1 1 0 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 0 0 0 -1 0 1 0 0 0 0 -1 2 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.263230565232 0.589096117147 0 4 4 5 0132 0132 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.130483194384 0.729182555319 0 0 4 6 3012 0132 0132 0132 1 1 1 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 1 0 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.827957870372 0.662007330354 7 8 9 0 0132 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 10 -11 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.710334834688 0.413977056175 1 1 6 2 2031 0132 1230 0132 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 0 0 0 0 0 0 0 0 0 0 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 0.762210074110 1.328847493416 8 10 1 6 2031 0132 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.253695802940 1.123638063047 11 5 2 4 0132 1302 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 1.344391984128 0.530039221508 3 10 12 10 0132 0213 0132 1230 1 1 1 1 0 1 0 -1 0 0 0 0 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 10 0 -10 0 0 0 0 0 10 0 -10 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414875694622 0.796106023176 9 3 5 12 0132 0132 1302 1230 1 1 1 1 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 0 0 0 -11 0 0 11 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.921823219219 0.471385372332 8 12 11 3 0132 1230 1230 0132 1 1 1 1 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 11 -11 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.454574852459 0.452020515785 7 5 7 11 3012 0132 0213 3012 1 1 1 1 0 0 -1 1 1 0 -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 -10 10 10 0 -10 0 0 0 0 0 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.254952827157 0.373806140455 6 12 10 9 0132 3120 1230 3012 1 1 1 1 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 11 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.299574115900 0.873707541743 8 11 9 7 3012 3120 3012 0132 1 1 1 1 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 -11 11 0 0 0 0 0 0 0 0 0 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.302758142185 1.525729802478 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_3'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : negation(d['c_0011_3']), 'c_1001_5' : negation(d['c_0101_11']), 'c_1001_4' : negation(d['c_0101_11']), 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0110_5'], 'c_1001_3' : d['c_0101_12'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : negation(d['c_0110_10']), 'c_1001_8' : d['c_0110_5'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_3']), '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_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : 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' : negation(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_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0101_11'], 'c_1100_7' : d['c_0110_10'], 'c_1100_6' : d['c_0101_11'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0101_11'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0110_10'], 'c_1100_10' : negation(d['c_0011_3']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : negation(d['c_0101_11']), 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : d['c_0101_12'], 'c_1100_8' : d['c_0101_0'], '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'], 'c_1100_12' : d['c_0110_10'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_11']), '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_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_12'], 'c_0101_8' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0011_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0101_0, c_0101_11, c_0101_12, c_0101_2, c_0101_4, c_0101_6, c_0110_10, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1487180424240738767539/6846997410119443148*c_0110_5^7 - 13617782707121035100623/27387989640477772592*c_0110_5^6 - 448969103225470092312249/27387989640477772592*c_0110_5^5 - 453645350293440167629881/6846997410119443148*c_0110_5^4 + 625055216927652145499435/27387989640477772592*c_0110_5^3 + 678384063408045940097353/13693994820238886296*c_0110_5^2 - 314284635834723130778075/6846997410119443148*c_0110_5 + 20318704367033460370475/1711749352529860787, c_0011_0 - 1, c_0011_10 + 364374984409/16382963362922*c_0110_5^7 - 4272545943765/65531853451688*c_0110_5^6 - 108325532175449/65531853451688*c_0110_5^5 - 186414908963579/32765926725844*c_0110_5^4 + 472772592793665/65531853451688*c_0110_5^3 + 94610745549187/16382963362922*c_0110_5^2 - 72241153057831/8191481681461*c_0110_5 + 19526695346412/8191481681461, c_0011_11 + 478602047113/16382963362922*c_0110_5^7 - 5726721140541/65531853451688*c_0110_5^6 - 141825537214035/65531853451688*c_0110_5^5 - 120363560485651/16382963362922*c_0110_5^4 + 641655854163673/65531853451688*c_0110_5^3 + 212536376844371/32765926725844*c_0110_5^2 - 188000099332069/16382963362922*c_0110_5 + 29801875157582/8191481681461, c_0011_12 - 323900687661/16382963362922*c_0110_5^7 + 3618766417073/65531853451688*c_0110_5^6 + 96692615000255/65531853451688*c_0110_5^5 + 86236141808685/16382963362922*c_0110_5^4 - 364350956324045/65531853451688*c_0110_5^3 - 178262728309983/32765926725844*c_0110_5^2 + 113276387274897/16382963362922*c_0110_5 - 10340589732491/8191481681461, c_0011_3 - 122454533367/8191481681461*c_0110_5^7 + 1372779500655/32765926725844*c_0110_5^6 + 18278904793319/16382963362922*c_0110_5^5 + 130097122275793/32765926725844*c_0110_5^4 - 141443355811749/32765926725844*c_0110_5^3 - 135306989074563/32765926725844*c_0110_5^2 + 46732771426163/8191481681461*c_0110_5 - 11050019906361/8191481681461, c_0101_0 - 1, c_0101_11 + 615883938261/16382963362922*c_0110_5^7 - 7143915569617/65531853451688*c_0110_5^6 - 182880328861273/65531853451688*c_0110_5^5 - 318576547925035/32765926725844*c_0110_5^4 + 748344384947401/65531853451688*c_0110_5^3 + 66142721389685/8191481681461*c_0110_5^2 - 229167306196161/16382963362922*c_0110_5 + 38002721508850/8191481681461, c_0101_12 + 20237148374/8191481681461*c_0110_5^7 - 163444881673/16382963362922*c_0110_5^6 - 5816458587597/32765926725844*c_0110_5^5 - 13942625346209/32765926725844*c_0110_5^4 + 27105409117405/16382963362922*c_0110_5^3 + 10958762788391/32765926725844*c_0110_5^2 - 14822955477843/16382963362922*c_0110_5 + 994623932460/8191481681461, c_0101_2 - 924542747949/16382963362922*c_0110_5^7 + 10195280827985/65531853451688*c_0110_5^6 + 275854174249527/65531853451688*c_0110_5^5 + 248965563569119/16382963362922*c_0110_5^4 - 968767983717085/65531853451688*c_0110_5^3 - 435814180186179/32765926725844*c_0110_5^2 + 321742682691475/16382963362922*c_0110_5 - 42095531447595/8191481681461, c_0101_4 + 154329404844/8191481681461*c_0110_5^7 - 381420657296/8191481681461*c_0110_5^6 - 46486922694127/32765926725844*c_0110_5^5 - 179354579213203/32765926725844*c_0110_5^4 + 55105899692421/16382963362922*c_0110_5^3 + 171243294627439/32765926725844*c_0110_5^2 - 46287688247657/8191481681461*c_0110_5 + 4092809938745/8191481681461, c_0101_6 - 924542747949/16382963362922*c_0110_5^7 + 10195280827985/65531853451688*c_0110_5^6 + 275854174249527/65531853451688*c_0110_5^5 + 248965563569119/16382963362922*c_0110_5^4 - 968767983717085/65531853451688*c_0110_5^3 - 435814180186179/32765926725844*c_0110_5^2 + 305359719328553/16382963362922*c_0110_5 - 42095531447595/8191481681461, c_0110_10 + 501656875557/16382963362922*c_0110_5^7 - 5689740372841/65531853451688*c_0110_5^6 - 149380323822687/65531853451688*c_0110_5^5 - 66066083979328/8191481681461*c_0110_5^4 + 579461123577393/65531853451688*c_0110_5^3 + 241255999812743/32765926725844*c_0110_5^2 - 84633274808416/8191481681461*c_0110_5 + 19536060016219/8191481681461, c_0110_5^8 - 13/4*c_0110_5^7 - 293/4*c_0110_5^6 - 465/2*c_0110_5^5 + 1585/4*c_0110_5^4 + 114*c_0110_5^3 - 456*c_0110_5^2 + 250*c_0110_5 - 44 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.570 Total time: 0.780 seconds, Total memory usage: 32.09MB