Magma V2.19-8 Tue Aug 20 2013 23:56:23 on localhost [Seed = 610421817] Type ? for help. Type -D to quit. Loading file "L14n20349__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n20349 geometric_solution 10.95665782 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 3201 1 0 1 0 0 0 0 0 0 0 -1 1 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 -1 0 1 0 0 0 0 -1 -4 0 5 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.982165513522 0.698342463560 0 0 3 2 0132 2310 3120 3120 1 0 0 1 0 -1 1 0 0 0 0 0 -1 -1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -5 5 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 0.323731769269 0.480842399549 1 0 5 4 3120 0132 0132 0132 1 0 0 1 0 0 0 0 0 0 0 0 -2 0 0 2 0 1 -1 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 0 1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.712814289710 0.950186460862 6 7 1 0 0132 0132 3120 0132 1 0 0 1 0 0 0 0 -1 0 0 1 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 -1 0 1 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.712814289710 0.950186460862 6 8 2 9 2103 0132 0132 0132 1 0 1 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 2 -2 0 0 0 0 0 0 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 -0.346648529770 0.910234589498 10 7 9 2 0132 0321 0132 0132 1 0 1 1 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 -1 1 0 0 0 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.346648529770 0.910234589498 3 11 4 10 0132 0132 2103 0132 1 0 1 0 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 0 0 0 0 -5 1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.340441716488 0.583175372846 9 3 8 5 0321 0132 0132 0321 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 -2 0 0 0 0 0 0 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 0.340441716488 0.583175372846 11 4 11 7 3120 0132 0321 0132 1 1 0 1 0 0 0 0 0 0 0 0 0 -2 0 2 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.074571283102 0.884257346967 7 10 4 5 0321 0132 0132 0132 1 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 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 0.074571283102 0.884257346967 5 9 6 11 0132 0132 0132 1230 1 0 1 1 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 1 0 -1 0 0 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.074571283102 0.884257346967 10 6 8 8 3012 0132 0321 3120 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 1 0 0 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.905302931979 1.122906494968 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_0101_11'], 'c_1010_11' : d['c_0011_4'], 'c_1010_10' : d['c_0101_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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_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' : 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_1100_8' : d['c_1001_10'], 'c_1100_5' : d['c_1100_2'], 'c_1100_4' : d['c_1100_2'], 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : d['c_0101_7'], 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_1100_2'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_11'], 'c_1100_10' : d['c_0101_7'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_1']), 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : negation(d['c_1001_1']), 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : d['c_1001_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'], '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_10']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), '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_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0011_11'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_11'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_7']), 'c_0101_8' : negation(d['c_0101_11']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_7'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_2'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_7']), 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0101_0, c_0101_10, c_0101_11, c_0101_7, c_1001_0, c_1001_1, c_1001_10, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 41387743471105097/21953194677504*c_1100_2^11 + 53169135079805681/7317731559168*c_1100_2^10 - 66369076729122005/5488298669376*c_1100_2^9 + 164742096346346105/21953194677504*c_1100_2^8 - 210947667760740229/7317731559168*c_1100_2^7 + 718153446521841955/10976597338752*c_1100_2^6 - 378636797758987777/5488298669376*c_1100_2^5 - 14662757424145213/7317731559168*c_1100_2^4 - 888791193864812789/21953194677504*c_1100_2^3 - 565271336754220817/7317731559168*c_1100_2^2 - 74960016942203993/7317731559168*c_1100_2 + 176291257846258817/21953194677504, c_0011_0 - 1, c_0011_10 + 42095004/352899863*c_1100_2^11 - 173017748/352899863*c_1100_2^10 + 324927251/352899863*c_1100_2^9 - 284119544/352899863*c_1100_2^8 + 785938870/352899863*c_1100_2^7 - 1732759351/352899863*c_1100_2^6 + 2151061071/352899863*c_1100_2^5 - 739558852/352899863*c_1100_2^4 + 1524688235/352899863*c_1100_2^3 + 1197101436/352899863*c_1100_2^2 + 18876511/352899863*c_1100_2 + 44944926/352899863, c_0011_11 + c_1100_2, c_0011_4 + 17655669/352899863*c_1100_2^11 - 84122982/352899863*c_1100_2^10 + 178444188/352899863*c_1100_2^9 - 192253056/352899863*c_1100_2^8 + 372752472/352899863*c_1100_2^7 - 911317467/352899863*c_1100_2^6 + 1266134620/352899863*c_1100_2^5 - 722520979/352899863*c_1100_2^4 + 562822767/352899863*c_1100_2^3 + 140111655/352899863*c_1100_2^2 - 469192076/352899863*c_1100_2 - 9227088/352899863, c_0101_0 - 1, c_0101_10 - 4962/16109*c_1100_2^11 + 20236/16109*c_1100_2^10 - 37089/16109*c_1100_2^9 + 31528/16109*c_1100_2^8 - 89506/16109*c_1100_2^7 + 197365/16109*c_1100_2^6 - 237933/16109*c_1100_2^5 + 82996/16109*c_1100_2^4 - 169331/16109*c_1100_2^3 - 153025/16109*c_1100_2^2 - 10422/16109*c_1100_2 + 10943/16109, c_0101_11 + 33303765/352899863*c_1100_2^11 - 135146152/352899863*c_1100_2^10 + 243790736/352899863*c_1100_2^9 - 203282176/352899863*c_1100_2^8 + 587434536/352899863*c_1100_2^7 - 1295457852/352899863*c_1100_2^6 + 1530668580/352899863*c_1100_2^5 - 539317260/352899863*c_1100_2^4 + 1092422991/352899863*c_1100_2^3 + 1254058551/352899863*c_1100_2^2 - 71730810/352899863*c_1100_2 + 34113318/352899863, c_0101_7 - 57635679/352899863*c_1100_2^11 + 242118328/352899863*c_1100_2^10 - 461458299/352899863*c_1100_2^9 + 428838499/352899863*c_1100_2^8 - 1099635346/352899863*c_1100_2^7 + 2419328204/352899863*c_1100_2^6 - 3057140249/352899863*c_1100_2^5 + 1388265840/352899863*c_1100_2^4 - 2061763726/352899863*c_1100_2^3 - 1702586487/352899863*c_1100_2^2 + 76169283/352899863*c_1100_2 + 82164766/352899863, c_1001_0 + 4962/16109*c_1100_2^11 - 20236/16109*c_1100_2^10 + 37089/16109*c_1100_2^9 - 31528/16109*c_1100_2^8 + 89506/16109*c_1100_2^7 - 197365/16109*c_1100_2^6 + 237933/16109*c_1100_2^5 - 82996/16109*c_1100_2^4 + 169331/16109*c_1100_2^3 + 153025/16109*c_1100_2^2 + 10422/16109*c_1100_2 - 10943/16109, c_1001_1 + 4962/16109*c_1100_2^11 - 20236/16109*c_1100_2^10 + 37089/16109*c_1100_2^9 - 31528/16109*c_1100_2^8 + 89506/16109*c_1100_2^7 - 197365/16109*c_1100_2^6 + 237933/16109*c_1100_2^5 - 82996/16109*c_1100_2^4 + 169331/16109*c_1100_2^3 + 153025/16109*c_1100_2^2 + 10422/16109*c_1100_2 + 5166/16109, c_1001_10 - 9227088/352899863*c_1100_2^11 + 19252683/352899863*c_1100_2^10 + 19533366/352899863*c_1100_2^9 - 132308748/352899863*c_1100_2^8 + 44619648/352899863*c_1100_2^7 - 31350216/352899863*c_1100_2^6 + 523779771/352899863*c_1100_2^5 - 1219999180/352899863*c_1100_2^4 + 519525043/352899863*c_1100_2^3 - 913452111/352899863*c_1100_2^2 - 140111655/352899863*c_1100_2 + 153200565/352899863, c_1100_2^12 - 4*c_1100_2^11 + 7*c_1100_2^10 - 5*c_1100_2^9 + 16*c_1100_2^8 - 37*c_1100_2^7 + 42*c_1100_2^6 - 5*c_1100_2^5 + 22*c_1100_2^4 + 38*c_1100_2^3 - 4*c_1100_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB