Magma V2.19-8 Tue Aug 20 2013 23:38:38 on localhost [Seed = 1443902054] Type ? for help. Type -D to quit. Loading file "K10n28__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K10n28 geometric_solution 10.79659498 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 -1 1 1 0 -1 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 5 -4 -5 0 5 0 -4 0 0 4 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.601267099348 0.902833941009 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 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 -1 0 1 5 0 -5 0 5 0 0 -5 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.263506167503 0.598506380907 7 0 9 8 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 -4 4 1 0 0 -1 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.843056820796 0.764562379036 6 5 10 0 0132 1023 0132 0132 0 0 0 0 0 0 -1 1 0 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 0 5 -5 0 0 5 -5 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.333036435903 0.555839755819 9 11 0 11 0132 0132 0132 1230 0 0 0 0 0 0 -1 1 -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 0 4 -4 4 0 0 -4 -1 1 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.116608553860 0.837984769958 3 1 8 8 1023 0132 2103 2031 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 1 -1 0 0 0 0 0 -5 4 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570523444841 0.476579985790 3 7 1 9 0132 0132 0132 0132 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 -1 1 0 0 0 0 0 -1 0 1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.465117338811 1.317172607767 2 6 10 1 0132 0132 3012 0132 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 0 0 0 0 0 -5 5 -5 5 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.342283353955 0.853996207484 5 5 2 11 2103 1302 0132 0132 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 -4 4 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570523444841 0.476579985790 4 10 6 2 0132 3012 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -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 0 -1 1 -4 0 0 4 0 -5 0 5 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.595839800740 0.565213394965 9 7 11 3 1230 1230 1230 0132 0 0 0 0 0 -1 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 0 0 0 0 5 0 -5 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.330261827037 1.959929750331 4 4 8 10 3012 0132 0132 3012 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 0 0 0 0 0 0 0 0 4 0 -4 0 4 -4 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.595839800740 0.565213394965 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : negation(d['c_0101_10']), 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_0011_8'], 'c_1001_0' : d['c_0110_5'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_10']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_0110_5'], 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : d['c_0101_5'], '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' : 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' : negation(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' : negation(d['c_1001_10']), 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : d['c_0110_11'], 'c_1100_7' : negation(d['c_1001_10']), 'c_1100_6' : negation(d['c_1001_10']), 'c_1100_1' : negation(d['c_1001_10']), 'c_1100_0' : d['c_0110_11'], 'c_1100_3' : d['c_0110_11'], 'c_1100_2' : negation(d['c_1001_10']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_10']), 'c_1100_10' : d['c_0110_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : negation(d['c_0101_10']), 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_0101_11'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : negation(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' : d['c_0011_11'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0011_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : d['c_0101_5'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_11']})} 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_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0110_11, c_0110_5, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 63379208616/92601575*c_1001_10^9 - 86357368468/92601575*c_1001_10^8 - 310429710124/92601575*c_1001_10^7 - 6361598546/3704063*c_1001_10^6 - 90439376268/92601575*c_1001_10^5 - 31029350689/92601575*c_1001_10^4 - 49672013164/18520315*c_1001_10^3 - 37717074187/16836650*c_1001_10^2 - 107791634287/92601575*c_1001_10 + 70061565873/185203150, c_0011_0 - 1, c_0011_10 + 878528/336733*c_1001_10^9 + 1766128/336733*c_1001_10^8 + 4998864/336733*c_1001_10^7 + 4999964/336733*c_1001_10^6 + 2507988/336733*c_1001_10^5 + 1599228/336733*c_1001_10^4 + 4059534/336733*c_1001_10^3 + 5104197/336733*c_1001_10^2 + 3062991/336733*c_1001_10 + 585333/336733, c_0011_11 - 531496/336733*c_1001_10^9 - 808504/336733*c_1001_10^8 - 2660544/336733*c_1001_10^7 - 1711540/336733*c_1001_10^6 - 783814/336733*c_1001_10^5 - 431672/336733*c_1001_10^4 - 2184260/336733*c_1001_10^3 - 1817893/336733*c_1001_10^2 - 819489/336733*c_1001_10 - 24017/336733, c_0011_8 - 592784/336733*c_1001_10^9 - 850320/336733*c_1001_10^8 - 3079188/336733*c_1001_10^7 - 1952916/336733*c_1001_10^6 - 1504916/336733*c_1001_10^5 - 1043480/336733*c_1001_10^4 - 2209871/336733*c_1001_10^3 - 2456036/336733*c_1001_10^2 - 1851321/336733*c_1001_10 - 369409/336733, c_0101_0 - 326176/336733*c_1001_10^9 - 749820/336733*c_1001_10^8 - 1874992/336733*c_1001_10^7 - 2240172/336733*c_1001_10^6 - 667744/336733*c_1001_10^5 - 719327/336733*c_1001_10^4 - 1267639/336733*c_1001_10^3 - 2074420/336733*c_1001_10^2 - 915493/336733*c_1001_10 - 367828/336733, c_0101_1 + c_1001_10, c_0101_10 - 541968/336733*c_1001_10^9 - 793496/336733*c_1001_10^8 - 2904552/336733*c_1001_10^7 - 1851416/336733*c_1001_10^6 - 1695036/336733*c_1001_10^5 - 604162/336733*c_1001_10^4 - 2110002/336733*c_1001_10^3 - 2018618/336733*c_1001_10^2 - 2000630/336733*c_1001_10 - 398228/336733, c_0101_11 - 531496/336733*c_1001_10^9 - 808504/336733*c_1001_10^8 - 2660544/336733*c_1001_10^7 - 1711540/336733*c_1001_10^6 - 783814/336733*c_1001_10^5 - 431672/336733*c_1001_10^4 - 2184260/336733*c_1001_10^3 - 1817893/336733*c_1001_10^2 - 819489/336733*c_1001_10 - 24017/336733, c_0101_5 - 441452/336733*c_1001_10^9 - 1031188/336733*c_1001_10^8 - 2623472/336733*c_1001_10^7 - 3106464/336733*c_1001_10^6 - 1259167/336733*c_1001_10^5 - 788578/336733*c_1001_10^4 - 2254518/336733*c_1001_10^3 - 2865945/336733*c_1001_10^2 - 1900472/336733*c_1001_10 - 391433/336733, c_0110_11 + 541968/336733*c_1001_10^9 + 793496/336733*c_1001_10^8 + 2904552/336733*c_1001_10^7 + 1851416/336733*c_1001_10^6 + 1695036/336733*c_1001_10^5 + 604162/336733*c_1001_10^4 + 2110002/336733*c_1001_10^3 + 2018618/336733*c_1001_10^2 + 1663897/336733*c_1001_10 + 398228/336733, c_0110_5 - 550704/336733*c_1001_10^9 - 1429232/336733*c_1001_10^8 - 3641120/336733*c_1001_10^7 - 4661968/336733*c_1001_10^6 - 2678488/336733*c_1001_10^5 - 1068584/336733*c_1001_10^4 - 3146488/336733*c_1001_10^3 - 4217270/336733*c_1001_10^2 - 3166038/336733*c_1001_10 - 723009/336733, c_1001_10^10 + 2*c_1001_10^9 + 6*c_1001_10^8 + 6*c_1001_10^7 + 17/4*c_1001_10^6 + 9/4*c_1001_10^5 + 19/4*c_1001_10^4 + 6*c_1001_10^3 + 19/4*c_1001_10^2 + 3/2*c_1001_10 + 1/4 ], 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_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0110_11, c_0110_5, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 113008561015435/168998277579183*c_1001_10^11 - 3164020639410758/506994832737549*c_1001_10^10 + 1138351442187764/168998277579183*c_1001_10^9 + 4165279083450206/506994832737549*c_1001_10^8 + 4032436833004448/168998277579183*c_1001_10^7 + 4207890989812645/168998277579183*c_1001_10^6 - 44548964557391080/506994832737549*c_1001_10^5 - 78382276822281851/506994832737549*c_1001_10^4 - 12387396229013968/506994832737549*c_1001_10^3 + 45407084588001871/506994832737549*c_1001_10^2 + 17041422145034017/168998277579183*c_1001_10 + 20281525151802049/506994832737549, c_0011_0 - 1, c_0011_10 + 17767115635/1444429722899*c_1001_10^11 - 211357349836/1444429722899*c_1001_10^10 + 532106261715/1444429722899*c_1001_10^9 + 290012501737/1444429722899*c_1001_10^8 + 380282742047/1444429722899*c_1001_10^7 - 1200638347703/1444429722899*c_1001_10^6 - 6954366830073/1444429722899*c_1001_10^5 - 7079538184323/1444429722899*c_1001_10^4 + 1607986660752/1444429722899*c_1001_10^3 + 2968846948235/1444429722899*c_1001_10^2 + 157241116878/1444429722899*c_1001_10 - 924279652165/1444429722899, c_0011_11 - 68292181636/1444429722899*c_1001_10^11 + 612350908190/1444429722899*c_1001_10^10 - 565915073094/1444429722899*c_1001_10^9 - 223148136309/1444429722899*c_1001_10^8 - 2648039125411/1444429722899*c_1001_10^7 - 3652785880561/1444429722899*c_1001_10^6 + 3059599711700/1444429722899*c_1001_10^5 + 7212490356402/1444429722899*c_1001_10^4 - 53661868050/1444429722899*c_1001_10^3 - 3488000668222/1444429722899*c_1001_10^2 - 1722059038894/1444429722899*c_1001_10 + 1036838542474/1444429722899, c_0011_8 + 129174572997/1444429722899*c_1001_10^11 - 875359282388/1444429722899*c_1001_10^10 - 1191957434308/1444429722899*c_1001_10^9 + 613557602213/1444429722899*c_1001_10^8 + 5790614225209/1444429722899*c_1001_10^7 + 18643324330322/1444429722899*c_1001_10^6 + 21118059373937/1444429722899*c_1001_10^5 + 1925527059403/1444429722899*c_1001_10^4 - 11220249067578/1444429722899*c_1001_10^3 - 2736972088388/1444429722899*c_1001_10^2 + 4478940246693/1444429722899*c_1001_10 + 2731104529711/1444429722899, c_0101_0 + 8394418520/1444429722899*c_1001_10^11 - 26308889637/1444429722899*c_1001_10^10 - 370342481579/1444429722899*c_1001_10^9 + 445782107790/1444429722899*c_1001_10^8 + 412192145324/1444429722899*c_1001_10^7 + 2585806612146/1444429722899*c_1001_10^6 + 2080601159384/1444429722899*c_1001_10^5 - 2564320857797/1444429722899*c_1001_10^4 - 5958619990454/1444429722899*c_1001_10^3 - 790872972885/1444429722899*c_1001_10^2 + 1102854115268/1444429722899*c_1001_10 + 363104268566/1444429722899, c_0101_1 + 124244687502/1444429722899*c_1001_10^11 - 970520384126/1444429722899*c_1001_10^10 - 158204838465/1444429722899*c_1001_10^9 + 842778009662/1444429722899*c_1001_10^8 + 4993333164755/1444429722899*c_1001_10^7 + 12721632180874/1444429722899*c_1001_10^6 + 6629368108630/1444429722899*c_1001_10^5 - 8262479314959/1444429722899*c_1001_10^4 - 6539695988425/1444429722899*c_1001_10^3 + 1748306839138/1444429722899*c_1001_10^2 + 2195866777818/1444429722899*c_1001_10 - 639562847692/1444429722899, c_0101_10 + 8342199137/1444429722899*c_1001_10^11 - 73442257071/1444429722899*c_1001_10^10 + 65640036426/1444429722899*c_1001_10^9 - 34447942978/1444429722899*c_1001_10^8 + 349344268993/1444429722899*c_1001_10^7 + 624161348098/1444429722899*c_1001_10^6 - 17893931327/1444429722899*c_1001_10^5 - 397987683241/1444429722899*c_1001_10^4 - 653279908942/1444429722899*c_1001_10^3 - 733157710188/1444429722899*c_1001_10^2 + 58230125329/1444429722899*c_1001_10 + 956619439603/1444429722899, c_0101_11 + 50525066001/1444429722899*c_1001_10^11 - 400993558354/1444429722899*c_1001_10^10 + 33808811379/1444429722899*c_1001_10^9 - 66864365428/1444429722899*c_1001_10^8 + 2267756383364/1444429722899*c_1001_10^7 + 4853424228264/1444429722899*c_1001_10^6 + 3894767118373/1444429722899*c_1001_10^5 - 132952172079/1444429722899*c_1001_10^4 - 1554324792702/1444429722899*c_1001_10^3 + 519153719987/1444429722899*c_1001_10^2 + 1564817922016/1444429722899*c_1001_10 - 112558890309/1444429722899, c_0101_5 - 188770591492/1444429722899*c_1001_10^11 + 1474678554307/1444429722899*c_1001_10^10 + 207895563188/1444429722899*c_1001_10^9 - 1008980372956/1444429722899*c_1001_10^8 - 7812227760025/1444429722899*c_1001_10^7 - 18984529803282/1444429722899*c_1001_10^6 - 11643802470324/1444429722899*c_1001_10^5 + 10685032046987/1444429722899*c_1001_10^4 + 8983455392958/1444429722899*c_1001_10^3 - 2288251670969/1444429722899*c_1001_10^2 - 4055600423124/1444429722899*c_1001_10 + 249019159654/1444429722899, c_0110_11 + 124244687502/1444429722899*c_1001_10^11 - 970520384126/1444429722899*c_1001_10^10 - 158204838465/1444429722899*c_1001_10^9 + 842778009662/1444429722899*c_1001_10^8 + 4993333164755/1444429722899*c_1001_10^7 + 12721632180874/1444429722899*c_1001_10^6 + 6629368108630/1444429722899*c_1001_10^5 - 8262479314959/1444429722899*c_1001_10^4 - 6539695988425/1444429722899*c_1001_10^3 + 1748306839138/1444429722899*c_1001_10^2 + 3640296500717/1444429722899*c_1001_10 - 639562847692/1444429722899, c_0110_5 - 160580587877/1444429722899*c_1001_10^11 + 1166070015769/1444429722899*c_1001_10^10 + 880859423255/1444429722899*c_1001_10^9 - 855012950687/1444429722899*c_1001_10^8 - 7258803778350/1444429722899*c_1001_10^7 - 19420909509746/1444429722899*c_1001_10^6 - 18605953369940/1444429722899*c_1001_10^5 + 5904829869894/1444429722899*c_1001_10^4 + 12863829950260/1444429722899*c_1001_10^3 + 378452895560/1444429722899*c_1001_10^2 - 5708637472041/1444429722899*c_1001_10 - 1639147826246/1444429722899, c_1001_10^12 - 7*c_1001_10^11 - 7*c_1001_10^10 + c_1001_10^9 + 45*c_1001_10^8 + 137*c_1001_10^7 + 161*c_1001_10^6 + 40*c_1001_10^5 - 64*c_1001_10^4 - 46*c_1001_10^3 + 16*c_1001_10^2 + 23*c_1001_10 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.330 Total time: 0.540 seconds, Total memory usage: 32.09MB