Magma V2.19-8 Wed Aug 21 2013 00:51:12 on localhost [Seed = 3263485886] Type ? for help. Type -D to quit. Loading file "L11a201__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a201 geometric_solution 12.03878293 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 1230 0132 1 1 1 1 0 0 0 0 0 0 0 0 0 -1 0 1 0 -1 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.066726689987 1.195748896499 0 3 4 0 0132 1302 0132 3012 1 1 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 0 0 0 0 -1 1 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 0.584562892848 0.465684853585 5 0 7 6 0132 0132 0132 0132 1 0 1 1 0 0 0 0 -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 -1 0 1 3 0 -1 -2 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.798061483748 0.472983935359 5 4 0 1 1302 1023 0132 2031 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 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 0.124851392837 0.544444170334 3 8 7 1 1023 0132 3012 0132 1 1 1 1 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 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 0.641827079597 0.825718530393 2 3 8 9 0132 2031 3120 0132 1 0 1 1 0 0 0 0 1 0 -1 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 -3 0 3 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 0.798061483748 0.472983935359 10 9 2 8 0132 0132 0132 3120 1 0 1 1 0 0 0 0 0 0 -1 1 -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 0 -1 1 1 0 2 -3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.092417034694 1.388115430153 11 4 9 2 0132 1230 0132 0132 1 0 1 1 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 0 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 0.349896485267 0.691333514885 6 4 5 10 3120 0132 3120 2103 1 0 1 1 0 0 0 0 -1 0 1 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 3 0 -3 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 0.417198176946 1.151513232566 11 6 5 7 2103 0132 0132 0132 1 0 1 1 0 0 0 0 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 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 0.092417034694 1.388115430153 6 12 11 8 0132 0132 0132 2103 1 0 1 1 0 0 1 -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 0 0 0 -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 0.374571314164 0.541887486677 7 12 9 10 0132 3012 2103 0132 1 0 1 1 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 0 0 0 0 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 0.913297115073 0.791304091873 11 10 12 12 1230 0132 2031 1302 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 0.269359849959 1.159805344487 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : negation(d['c_0101_12']), 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : negation(d['c_0110_3']), 'c_1001_4' : d['c_0011_11'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0110_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_1001_9' : d['c_0011_3'], 'c_1001_8' : d['c_0110_3'], 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(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' : negation(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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_1001_0']), 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : negation(d['c_0101_8']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0101_10']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_4'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0110_3'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_0101_4'], 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_5']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_12'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_3'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_10']), '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_10'], 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : d['c_0011_11'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_8']), 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_10'], 's_2_9' : negation(d['1'])})} 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_3, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_4, c_0101_5, c_0101_8, c_0110_3, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 8927873014597061363/2983965272543926125*c_1001_0^17 - 643196900394284916/331551696949325125*c_1001_0^16 - 7803908089637392864/994655090847975375*c_1001_0^15 + 50334468460637493623/2983965272543926125*c_1001_0^14 + 67302843690966242119/2983965272543926125*c_1001_0^13 - 33301479097272346/1020159067536385*c_1001_0^12 - 13875104602047707503/426280753220560875*c_1001_0^11 + 73087908021552186283/596793054508785225*c_1001_0^10 - 24832905448884582034/2983965272543926125*c_1001_0^9 - 51739639141591758092/229535790195686625*c_1001_0^8 + 105086760394171386277/994655090847975375*c_1001_0^7 + 28112116988462446007/198931018169595075*c_1001_0^6 - 452269492150641936553/2983965272543926125*c_1001_0^5 - 686050457678662793/28418716881370725*c_1001_0^4 + 48414712360932364204/596793054508785225*c_1001_0^3 + 8442610801236673461/331551696949325125*c_1001_0^2 - 29252002864853638/1836286321565493*c_1001_0 - 16648743341557943851/994655090847975375, c_0011_0 - 1, c_0011_10 - 3629404213/1206582023*c_1001_0^17 + 1152937807/1206582023*c_1001_0^16 + 8871965542/1206582023*c_1001_0^15 - 17385054844/1206582023*c_1001_0^14 - 30392965210/1206582023*c_1001_0^13 + 24866547076/1206582023*c_1001_0^12 + 37862207512/1206582023*c_1001_0^11 - 129669566765/1206582023*c_1001_0^10 - 19890967599/1206582023*c_1001_0^9 + 229949708734/1206582023*c_1001_0^8 - 66657201547/1206582023*c_1001_0^7 - 123364672624/1206582023*c_1001_0^6 + 134244873535/1206582023*c_1001_0^5 + 25723289683/1206582023*c_1001_0^4 - 54763090283/1206582023*c_1001_0^3 - 25981794242/1206582023*c_1001_0^2 - 2820767675/1206582023*c_1001_0 + 7444598937/1206582023, c_0011_11 - 31766314831/20511894391*c_1001_0^17 + 33190375271/20511894391*c_1001_0^16 + 81463615138/20511894391*c_1001_0^15 - 208221439402/20511894391*c_1001_0^14 - 179026089883/20511894391*c_1001_0^13 + 454787681312/20511894391*c_1001_0^12 + 275693788935/20511894391*c_1001_0^11 - 1398510724746/20511894391*c_1001_0^10 + 550258086225/20511894391*c_1001_0^9 + 2485111487009/20511894391*c_1001_0^8 - 1878096618913/20511894391*c_1001_0^7 - 1178405949315/20511894391*c_1001_0^6 + 1976481724514/20511894391*c_1001_0^5 - 396191347234/20511894391*c_1001_0^4 - 858428020282/20511894391*c_1001_0^3 - 18219461332/20511894391*c_1001_0^2 + 155744347513/20511894391*c_1001_0 + 185233176658/20511894391, c_0011_3 - c_1001_0, c_0101_0 + 54907094089/20511894391*c_1001_0^17 - 31766314831/20511894391*c_1001_0^16 - 131530906996/20511894391*c_1001_0^15 + 301091991494/20511894391*c_1001_0^14 + 395756595577/20511894391*c_1001_0^13 - 508468654417/20511894391*c_1001_0^12 - 478632918201/20511894391*c_1001_0^11 + 2142534987961/20511894391*c_1001_0^10 - 190554654788/20511894391*c_1001_0^9 - 3622681064539/20511894391*c_1001_0^8 + 1990947640208/20511894391*c_1001_0^7 + 1745771590961/20511894391*c_1001_0^6 - 2605990395629/20511894391*c_1001_0^5 + 164547619577/20511894391*c_1001_0^4 + 976486004991/20511894391*c_1001_0^3 + 129899673320/20511894391*c_1001_0^2 - 52614661030/20511894391*c_1001_0 - 173698217021/20511894391, c_0101_10 + 1424060440/20511894391*c_1001_0^17 + 19355045916/20511894391*c_1001_0^16 + 307435060/20511894391*c_1001_0^15 - 37818066144/20511894391*c_1001_0^14 + 85163702443/20511894391*c_1001_0^13 + 190454118120/20511894391*c_1001_0^12 - 42762231557/20511894391*c_1001_0^11 - 149393712239/20511894391*c_1001_0^10 + 621129646078/20511894391*c_1001_0^9 + 321118034617/20511894391*c_1001_0^8 - 959925789382/20511894391*c_1001_0^7 - 27848410407/20511894391*c_1001_0^6 + 532001987857/20511894391*c_1001_0^5 - 460461496741/20511894391*c_1001_0^4 - 284341920265/20511894391*c_1001_0^3 + 105758571350/20511894391*c_1001_0^2 + 129867740794/20511894391*c_1001_0 + 89934232165/20511894391, c_0101_11 - 1, c_0101_12 + 533327426/20511894391*c_1001_0^17 - 21209204027/20511894391*c_1001_0^16 - 1328776374/20511894391*c_1001_0^15 + 56157860395/20511894391*c_1001_0^14 - 80867585083/20511894391*c_1001_0^13 - 209514333053/20511894391*c_1001_0^12 + 85244010875/20511894391*c_1001_0^11 + 276120598899/20511894391*c_1001_0^10 - 677566268053/20511894391*c_1001_0^9 - 362029963692/20511894391*c_1001_0^8 + 1315686139432/20511894391*c_1001_0^7 + 12259099875/20511894391*c_1001_0^6 - 791623965124/20511894391*c_1001_0^5 + 643581053721/20511894391*c_1001_0^4 + 310466757036/20511894391*c_1001_0^3 - 269704991856/20511894391*c_1001_0^2 - 184684792224/20511894391*c_1001_0 - 105988772821/20511894391, c_0101_4 + 24091510709/20511894391*c_1001_0^17 - 8201833361/20511894391*c_1001_0^16 - 59576837536/20511894391*c_1001_0^15 + 117291108572/20511894391*c_1001_0^14 + 199984747997/20511894391*c_1001_0^13 - 174040542486/20511894391*c_1001_0^12 - 250958839714/20511894391*c_1001_0^11 + 869266486610/20511894391*c_1001_0^10 + 110712016059/20511894391*c_1001_0^9 - 1556279618225/20511894391*c_1001_0^8 + 490432941941/20511894391*c_1001_0^7 + 825975556217/20511894391*c_1001_0^6 - 945074661002/20511894391*c_1001_0^5 - 119208084408/20511894391*c_1001_0^4 + 377034117958/20511894391*c_1001_0^3 + 132981888026/20511894391*c_1001_0^2 + 32889937933/20511894391*c_1001_0 - 64876121194/20511894391, c_0101_5 - 1, c_0101_8 - 24091510709/20511894391*c_1001_0^17 + 8201833361/20511894391*c_1001_0^16 + 59576837536/20511894391*c_1001_0^15 - 117291108572/20511894391*c_1001_0^14 - 199984747997/20511894391*c_1001_0^13 + 174040542486/20511894391*c_1001_0^12 + 250958839714/20511894391*c_1001_0^11 - 869266486610/20511894391*c_1001_0^10 - 110712016059/20511894391*c_1001_0^9 + 1556279618225/20511894391*c_1001_0^8 - 490432941941/20511894391*c_1001_0^7 - 825975556217/20511894391*c_1001_0^6 + 945074661002/20511894391*c_1001_0^5 + 119208084408/20511894391*c_1001_0^4 - 377034117958/20511894391*c_1001_0^3 - 132981888026/20511894391*c_1001_0^2 - 12378043542/20511894391*c_1001_0 + 64876121194/20511894391, c_0110_3 - 24091510709/20511894391*c_1001_0^17 + 8201833361/20511894391*c_1001_0^16 + 59576837536/20511894391*c_1001_0^15 - 117291108572/20511894391*c_1001_0^14 - 199984747997/20511894391*c_1001_0^13 + 174040542486/20511894391*c_1001_0^12 + 250958839714/20511894391*c_1001_0^11 - 869266486610/20511894391*c_1001_0^10 - 110712016059/20511894391*c_1001_0^9 + 1556279618225/20511894391*c_1001_0^8 - 490432941941/20511894391*c_1001_0^7 - 825975556217/20511894391*c_1001_0^6 + 945074661002/20511894391*c_1001_0^5 + 119208084408/20511894391*c_1001_0^4 - 377034117958/20511894391*c_1001_0^3 - 132981888026/20511894391*c_1001_0^2 - 32889937933/20511894391*c_1001_0 + 64876121194/20511894391, c_1001_0^18 - 3*c_1001_0^16 + 4*c_1001_0^15 + 11*c_1001_0^14 - 6*c_1001_0^13 - 17*c_1001_0^12 + 34*c_1001_0^11 + 22*c_1001_0^10 - 76*c_1001_0^9 - 9*c_1001_0^8 + 66*c_1001_0^7 - 26*c_1001_0^6 - 33*c_1001_0^5 + 25*c_1001_0^4 + 18*c_1001_0^3 - c_1001_0^2 - 6*c_1001_0 - 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.300 seconds, Total memory usage: 32.09MB