Magma V2.19-8 Wed Aug 21 2013 00:57:51 on localhost [Seed = 71442106] Type ? for help. Type -D to quit. Loading file "L13n4532__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4532 geometric_solution 11.96361611 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 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 1 0 -1 0 0 1 -1 1 -2 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.619504216266 1.592071192943 0 5 7 6 0132 0132 0132 0132 1 1 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 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 0.173848808349 0.541130760657 4 0 3 6 0132 0132 0213 2031 0 1 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 -1 0 1 1 0 -1 0 -1 1 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509871935809 0.613385808969 8 2 9 0 0132 0213 0132 0132 0 1 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 0 0 0 2 0 -1 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.295774246836 0.671993815373 2 9 0 10 0132 0132 0132 0132 0 1 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 -1 0 1 0 2 0 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338598351303 0.699147864593 9 1 7 11 0132 0132 1302 0132 1 1 1 1 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 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 1.029826229998 1.146137393223 8 2 1 12 2103 1302 0132 0132 1 1 0 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 0 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 0.234154802735 0.853937940964 5 10 12 1 2031 1023 0132 0132 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 0.417516283744 1.524554022018 3 12 6 10 0132 3120 2103 0321 0 1 1 1 0 1 -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 -2 1 1 -2 0 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 1.013798982695 1.226836895910 5 4 11 3 0132 0132 2031 0132 0 1 1 1 0 0 0 0 -1 0 0 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 -1 0 0 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 0.593995199020 0.900451261170 7 8 4 11 1023 0321 0132 2031 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594089430134 0.804647838275 12 10 5 9 0132 1302 0132 1302 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 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 0.334285566545 0.813633741908 11 8 6 7 0132 3120 0132 0132 1 1 1 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 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.940894277859 0.833600424210 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_10'], 'c_1001_10' : negation(d['c_0101_12']), 'c_1001_12' : negation(d['c_0011_6']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0110_10'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_12']), 'c_1001_8' : d['c_0011_6'], 'c_1010_12' : d['c_0011_3'], 'c_1010_11' : d['c_1010_11'], 'c_1010_10' : 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'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : 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' : negation(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' : negation(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_9' : negation(d['c_1010_11']), 'c_1100_8' : negation(d['c_0101_12']), 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_0101_11'], 'c_1100_4' : negation(d['c_1010_11']), 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1010_11']), 'c_1100_3' : negation(d['c_1010_11']), 'c_1100_2' : d['c_0011_6'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_11'], 'c_1100_10' : negation(d['c_1010_11']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_10'], 'c_1010_6' : negation(d['c_0011_6']), 'c_1010_5' : d['c_0110_10'], 'c_1010_4' : negation(d['c_0101_12']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_11'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : 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' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : d['c_0011_6'], '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_12'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_12']})} 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_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0110_10, c_1001_2, c_1010_11, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 30304306593973076495581/328423720180677707523392*c_1100_1^11 + 342568255617747799271/837815612705810478376*c_1100_1^10 + 61542820736986839900093/164211860090338853761696*c_1100_1^9 + 34935951100099715833927/10263241255646178360106*c_1100_1^8 - 4309575057044591305504695/328423720180677707523392*c_1100_1^7 + 178375881842629670980733/12631681545410681058592*c_1100_1^6 - 3631930257949214731271241/164211860090338853761696*c_1100_1^5 + 675481783463415195320555/82105930045169426880848*c_1100_1^4 + 2621529880990288020133599/82105930045169426880848*c_1100_1^3 - 8263043890273613040670271/164211860090338853761696*c_1100_1^2 + 13380842110663978623580085/164211860090338853761696*c_1100_1 - 22771775344467882695094631/328423720180677707523392, c_0011_0 - 1, c_0011_10 - 79023184338493/14158030497259201*c_1100_1^11 - 6309758558141/288939397903249*c_1100_1^10 - 175995451819637/14158030497259201*c_1100_1^9 - 2926091931668356/14158030497259201*c_1100_1^8 + 12377419643294032/14158030497259201*c_1100_1^7 - 19897498811308689/14158030497259201*c_1100_1^6 + 29773057436545673/14158030497259201*c_1100_1^5 - 26037758325031112/14158030497259201*c_1100_1^4 + 10132560628476448/14158030497259201*c_1100_1^3 + 11015830530637920/14158030497259201*c_1100_1^2 - 25508341839901587/14158030497259201*c_1100_1 + 31539582865057452/14158030497259201, c_0011_11 - 109323630794013/14158030497259201*c_1100_1^11 + 14269735807578/288939397903249*c_1100_1^10 + 6117768151281328/14158030497259201*c_1100_1^9 + 9431694359829183/14158030497259201*c_1100_1^8 + 80541743729001131/14158030497259201*c_1100_1^7 - 102486169107655782/14158030497259201*c_1100_1^6 + 179462747265787373/14158030497259201*c_1100_1^5 - 277061264140279224/14158030497259201*c_1100_1^4 + 92546406577829122/14158030497259201*c_1100_1^3 - 4758839231101107/14158030497259201*c_1100_1^2 - 131640334150150683/14158030497259201*c_1100_1 + 418567048142296045/14158030497259201, c_0011_3 - 308338089087089/14158030497259201*c_1100_1^11 - 22292753548860/288939397903249*c_1100_1^10 - 53144070722422/14158030497259201*c_1100_1^9 - 9739832566301549/14158030497259201*c_1100_1^8 + 56663453603235541/14158030497259201*c_1100_1^7 - 82303297234718618/14158030497259201*c_1100_1^6 + 146757347742057898/14158030497259201*c_1100_1^5 - 161791018605048820/14158030497259201*c_1100_1^4 + 54324030428437137/14158030497259201*c_1100_1^3 + 16821276951482217/14158030497259201*c_1100_1^2 - 159867758910348133/14158030497259201*c_1100_1 + 220213446921953210/14158030497259201, c_0011_6 - 1, c_0101_0 + 58015828211102/2022575785322743*c_1100_1^11 + 51523113832979/288939397903249*c_1100_1^10 + 873615312201951/2022575785322743*c_1100_1^9 + 3610933590725908/2022575785322743*c_1100_1^8 - 2129392501836722/2022575785322743*c_1100_1^7 + 4372419503065727/2022575785322743*c_1100_1^6 - 8319862739190649/2022575785322743*c_1100_1^5 - 3762238463174544/2022575785322743*c_1100_1^4 + 1948971088758958/2022575785322743*c_1100_1^3 - 5400032568888820/2022575785322743*c_1100_1^2 + 18101710712300744/2022575785322743*c_1100_1 + 12355114216001306/2022575785322743, c_0101_1 - 224579499831739/14158030497259201*c_1100_1^11 - 11387735827265/288939397903249*c_1100_1^10 + 1280264421798220/14158030497259201*c_1100_1^9 - 4470415014243412/14158030497259201*c_1100_1^8 + 53887485930388542/14158030497259201*c_1100_1^7 - 77825011774151086/14158030497259201*c_1100_1^6 + 133068472878409654/14158030497259201*c_1100_1^5 - 163439601716732091/14158030497259201*c_1100_1^4 + 49142976907055984/14158030497259201*c_1100_1^3 + 12669039045245801/14158030497259201*c_1100_1^2 - 129456777621970570/14158030497259201*c_1100_1 + 223204975662209327/14158030497259201, c_0101_11 - 95056178256213/2022575785322743*c_1100_1^11 - 72940638679362/288939397903249*c_1100_1^10 - 982907368408872/2022575785322743*c_1100_1^9 - 5002346068417018/2022575785322743*c_1100_1^8 + 7819187495895723/2022575785322743*c_1100_1^7 - 13157369744986832/2022575785322743*c_1100_1^6 + 22490175081121751/2022575785322743*c_1100_1^5 - 11856674403832563/2022575785322743*c_1100_1^4 + 2832595340779374/2022575785322743*c_1100_1^3 + 7248931929073319/2022575785322743*c_1100_1^2 - 32264530185675134/2022575785322743*c_1100_1 + 8896845687719702/2022575785322743, c_0101_12 + 608587513733457/14158030497259201*c_1100_1^11 + 61228017783129/288939397903249*c_1100_1^10 + 4776019106409191/14158030497259201*c_1100_1^9 + 28837768729079799/14158030497259201*c_1100_1^8 - 65117477415581727/14158030497259201*c_1100_1^7 + 101941071290594390/14158030497259201*c_1100_1^6 - 176703131558846105/14158030497259201*c_1100_1^5 + 128431122864705378/14158030497259201*c_1100_1^4 - 31206828896502625/14158030497259201*c_1100_1^3 - 35926229862105830/14158030497259201*c_1100_1^2 + 233062877751715302/14158030497259201*c_1100_1 - 117432981289410436/14158030497259201, c_0110_10 + 72953317287082/2022575785322743*c_1100_1^11 + 72427829113679/288939397903249*c_1100_1^10 + 1397992269533695/2022575785322743*c_1100_1^9 + 5165164920186153/2022575785322743*c_1100_1^8 + 291892662752344/2022575785322743*c_1100_1^7 + 1779369997047229/2022575785322743*c_1100_1^6 - 3822260283791184/2022575785322743*c_1100_1^5 - 16302788523617243/2022575785322743*c_1100_1^4 + 6943341495403833/2022575785322743*c_1100_1^3 - 7386703064742545/2022575785322743*c_1100_1^2 + 16779588392985673/2022575785322743*c_1100_1 + 31993877541668426/2022575785322743, c_1001_2 - 289441312438039/14158030497259201*c_1100_1^11 - 41268202095333/288939397903249*c_1100_1^10 - 5543370685365391/14158030497259201*c_1100_1^9 - 20237189333343310/14158030497259201*c_1100_1^8 - 925543101106516/14158030497259201*c_1100_1^7 - 2901479965272512/14158030497259201*c_1100_1^6 + 10416258082728242/14158030497259201*c_1100_1^5 + 70321434492998846/14158030497259201*c_1100_1^4 - 31892236457958301/14158030497259201*c_1100_1^3 + 33927268381383974/14158030497259201*c_1100_1^2 - 70668216196070511/14158030497259201*c_1100_1 - 126456216409025322/14158030497259201, c_1010_11 - 771369287327300/14158030497259201*c_1100_1^11 - 78442794062865/288939397903249*c_1100_1^10 - 6285423050749470/14158030497259201*c_1100_1^9 - 37033278212806292/14158030497259201*c_1100_1^8 + 80270864731722758/14158030497259201*c_1100_1^7 - 126316855562470611/14158030497259201*c_1100_1^6 + 220165063859040022/14158030497259201*c_1100_1^5 - 152820298078053219/14158030497259201*c_1100_1^4 + 46520443046360226/14158030497259201*c_1100_1^3 + 51094298298980166/14158030497259201*c_1100_1^2 - 274824170382735251/14158030497259201*c_1100_1 + 145981035414211771/14158030497259201, c_1100_1^12 + 5*c_1100_1^11 + 10*c_1100_1^10 + 58*c_1100_1^9 - 83*c_1100_1^8 + 259*c_1100_1^7 - 408*c_1100_1^6 + 410*c_1100_1^5 - 424*c_1100_1^4 + 54*c_1100_1^3 + 356*c_1100_1^2 - 329*c_1100_1 + 569 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.260 Total time: 0.470 seconds, Total memory usage: 32.09MB