Magma V2.19-8 Tue Aug 20 2013 23:40:55 on localhost [Seed = 593840075] Type ? for help. Type -D to quit. Loading file "K12n432__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n432 geometric_solution 11.33092298 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 1 -1 0 -7 0 0 7 -7 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.846759530168 0.879227288923 0 5 7 6 0132 0132 0132 0132 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 1 -1 0 7 0 0 -7 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.265564899484 1.485235375295 8 0 9 6 0132 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.875549202838 0.537389936045 8 10 11 0 3012 0132 0132 0132 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 0 -1 1 6 0 -6 0 0 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.297759721971 0.639904873892 11 6 0 10 0132 2031 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 -7 7 -1 1 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469756747340 0.675055211337 7 1 11 9 1023 0132 3120 1302 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 -1 1 0 -6 0 6 0 -6 7 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.128141370848 0.799049344286 4 2 1 9 1302 1302 0132 3201 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 -7 0 7 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 0.154597834346 0.626311868146 8 5 10 1 1023 1023 1230 0132 0 0 0 0 0 1 -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 0 0 0 0 6 -7 1 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.031118371387 0.950114851925 2 7 11 3 0132 1023 2310 1230 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 0 6 -6 0 0 0 0 0 6 0 -6 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.572859977592 0.379254171091 10 6 5 2 0321 2310 2031 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0.617559875823 0.950068070785 9 3 4 7 0321 0132 0132 3012 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 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.548849826741 0.883437391246 4 8 5 3 0132 3201 3120 0132 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 -6 6 0 -6 0 6 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.786319470047 0.803500718084 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_8']), 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : negation(d['c_0110_6']), 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_0110_5'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : negation(d['c_0110_6']), 'c_1001_9' : negation(d['c_0110_5']), 'c_1001_8' : d['c_0101_7'], 'c_1010_11' : negation(d['c_0101_7']), 'c_1010_10' : negation(d['c_0101_7']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], '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' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0110_5']), 'c_1100_8' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : negation(d['c_0011_9']), 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : negation(d['c_0011_9']), 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0110_5']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_5']), 'c_1100_10' : negation(d['c_0101_5']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : d['c_0110_5'], 'c_1010_5' : d['c_0110_5'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : negation(d['c_0110_6']), 'c_1010_9' : negation(d['c_0110_6']), 'c_1010_8' : d['c_0101_1'], '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'], '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], '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' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_11'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_11'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], '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_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0011_11'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} 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_6, c_0011_9, c_0101_1, c_0101_10, c_0101_5, c_0101_7, c_0101_8, c_0110_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 37297745/2339926*c_0110_6^7 - 127258953/2339926*c_0110_6^6 - 735094319/9359704*c_0110_6^5 - 947490717/9359704*c_0110_6^4 - 829432095/4679852*c_0110_6^3 - 1784541599/9359704*c_0110_6^2 - 143581036/1169963*c_0110_6 - 798201765/9359704, c_0011_0 - 1, c_0011_10 + 10060/61577*c_0110_6^7 + 32068/61577*c_0110_6^6 + 36273/61577*c_0110_6^5 + 43117/61577*c_0110_6^4 + 105955/61577*c_0110_6^3 + 72429/61577*c_0110_6^2 + 69954/61577*c_0110_6 + 61206/61577, c_0011_11 - 3362/61577*c_0110_6^7 - 18258/61577*c_0110_6^6 - 72135/123154*c_0110_6^5 - 69805/123154*c_0110_6^4 - 50406/61577*c_0110_6^3 - 244233/123154*c_0110_6^2 - 47348/61577*c_0110_6 - 4355/123154, c_0011_6 - 1430/61577*c_0110_6^7 - 17290/61577*c_0110_6^6 - 30389/123154*c_0110_6^5 - 1485/123154*c_0110_6^4 - 26385/61577*c_0110_6^3 - 64907/123154*c_0110_6^2 + 37555/61577*c_0110_6 - 20461/123154, c_0011_9 - 22466/61577*c_0110_6^7 - 47718/61577*c_0110_6^6 - 90223/123154*c_0110_6^5 - 193851/123154*c_0110_6^4 - 175103/61577*c_0110_6^3 - 261161/123154*c_0110_6^2 - 89062/61577*c_0110_6 - 154893/123154, c_0101_1 - 1430/61577*c_0110_6^7 - 17290/61577*c_0110_6^6 - 30389/123154*c_0110_6^5 - 1485/123154*c_0110_6^4 - 26385/61577*c_0110_6^3 - 64907/123154*c_0110_6^2 + 37555/61577*c_0110_6 - 20461/123154, c_0101_10 - 13422/61577*c_0110_6^7 - 50326/61577*c_0110_6^6 - 144681/123154*c_0110_6^5 - 156039/123154*c_0110_6^4 - 156361/61577*c_0110_6^3 - 389091/123154*c_0110_6^2 - 117302/61577*c_0110_6 - 126767/123154, c_0101_5 + 10060/61577*c_0110_6^7 + 32068/61577*c_0110_6^6 + 36273/61577*c_0110_6^5 + 43117/61577*c_0110_6^4 + 105955/61577*c_0110_6^3 + 72429/61577*c_0110_6^2 + 8377/61577*c_0110_6 - 371/61577, c_0101_7 + 10060/61577*c_0110_6^7 + 32068/61577*c_0110_6^6 + 36273/61577*c_0110_6^5 + 43117/61577*c_0110_6^4 + 105955/61577*c_0110_6^3 + 72429/61577*c_0110_6^2 + 8377/61577*c_0110_6 + 61206/61577, c_0101_8 - 19130/61577*c_0110_6^7 - 52166/61577*c_0110_6^6 - 161947/123154*c_0110_6^5 - 247227/123154*c_0110_6^4 - 169960/61577*c_0110_6^3 - 358461/123154*c_0110_6^2 - 175381/61577*c_0110_6 - 164345/123154, c_0110_5 + 14474/61577*c_0110_6^7 + 40654/61577*c_0110_6^6 + 91939/123154*c_0110_6^5 + 71871/123154*c_0110_6^4 + 88358/61577*c_0110_6^3 + 177959/123154*c_0110_6^2 + 21638/61577*c_0110_6 - 15611/123154, c_0110_6^8 + 4*c_0110_6^7 + 27/4*c_0110_6^6 + 17/2*c_0110_6^5 + 57/4*c_0110_6^4 + 73/4*c_0110_6^3 + 53/4*c_0110_6^2 + 33/4*c_0110_6 + 19/4 ], 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_6, c_0011_9, c_0101_1, c_0101_10, c_0101_5, c_0101_7, c_0101_8, c_0110_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 38732537/4220370*c_0110_6^12 - 1676033/301455*c_0110_6^11 + 157907/13230*c_0110_6^10 + 318871984/2110185*c_0110_6^9 - 1454955529/4220370*c_0110_6^8 + 5227559/301455*c_0110_6^7 + 1114992751/2110185*c_0110_6^6 - 81049357/234465*c_0110_6^5 - 239765215/844074*c_0110_6^4 + 110194727/383670*c_0110_6^3 + 246608239/4220370*c_0110_6^2 - 82827791/844074*c_0110_6 - 2618701/234465, c_0011_0 - 1, c_0011_10 + 70/87*c_0110_6^12 + 85/87*c_0110_6^11 - 387/29*c_0110_6^9 + 619/29*c_0110_6^8 + 341/87*c_0110_6^7 - 1865/87*c_0110_6^6 + 169/87*c_0110_6^5 + 1138/87*c_0110_6^4 + 13/29*c_0110_6^3 - 154/29*c_0110_6^2 + 31/87*c_0110_6 + 118/87, c_0011_11 - c_0110_6, c_0011_6 - 71/29*c_0110_6^12 - 124/87*c_0110_6^11 + 8/3*c_0110_6^10 + 3418/87*c_0110_6^9 - 8174/87*c_0110_6^8 + 1306/87*c_0110_6^7 + 11390/87*c_0110_6^6 - 8111/87*c_0110_6^5 - 2185/29*c_0110_6^4 + 6623/87*c_0110_6^3 + 1835/87*c_0110_6^2 - 2428/87*c_0110_6 - 659/87, c_0011_9 + 21/29*c_0110_6^12 + 62/87*c_0110_6^11 - 1/3*c_0110_6^10 - 1100/87*c_0110_6^9 + 1825/87*c_0110_6^8 + 43/87*c_0110_6^7 - 1432/87*c_0110_6^6 - 77/87*c_0110_6^5 + 150/29*c_0110_6^4 + 647/87*c_0110_6^3 - 265/87*c_0110_6^2 - 439/87*c_0110_6 - 62/87, c_0101_1 + 128/87*c_0110_6^12 + 85/87*c_0110_6^11 - 4/3*c_0110_6^10 - 2060/87*c_0110_6^9 + 4699/87*c_0110_6^8 - 703/87*c_0110_6^7 - 6215/87*c_0110_6^6 + 1458/29*c_0110_6^5 + 3110/87*c_0110_6^4 - 3064/87*c_0110_6^3 - 868/87*c_0110_6^2 + 988/87*c_0110_6 + 107/29, c_0101_10 - c_0110_6^12 - c_0110_6^11 + c_0110_6^10 + 17*c_0110_6^9 - 31*c_0110_6^8 - 12*c_0110_6^7 + 55*c_0110_6^6 - 12*c_0110_6^5 - 44*c_0110_6^4 + 15*c_0110_6^3 + 19*c_0110_6^2 - 7*c_0110_6 - 5, c_0101_5 + 1, c_0101_7 + 31/87*c_0110_6^12 - 13/29*c_0110_6^11 - 4/3*c_0110_6^10 - 527/87*c_0110_6^9 + 2122/87*c_0110_6^8 - 495/29*c_0110_6^7 - 682/29*c_0110_6^6 + 2237/87*c_0110_6^5 + 1195/87*c_0110_6^4 - 1603/87*c_0110_6^3 - 628/87*c_0110_6^2 + 187/29*c_0110_6 + 155/87, c_0101_8 - 60/29*c_0110_6^12 - 173/87*c_0110_6^11 + 7/3*c_0110_6^10 + 3089/87*c_0110_6^9 - 5641/87*c_0110_6^8 - 2128/87*c_0110_6^7 + 10198/87*c_0110_6^6 - 2593/87*c_0110_6^5 - 2558/29*c_0110_6^4 + 3388/87*c_0110_6^3 + 2812/87*c_0110_6^2 - 1277/87*c_0110_6 - 523/87, c_0110_5 + 121/87*c_0110_6^12 + 4/87*c_0110_6^11 - 3*c_0110_6^10 - 676/29*c_0110_6^9 + 1894/29*c_0110_6^8 - 1726/87*c_0110_6^7 - 7580/87*c_0110_6^6 + 6013/87*c_0110_6^5 + 3901/87*c_0110_6^4 - 1505/29*c_0110_6^3 - 330/29*c_0110_6^2 + 1330/87*c_0110_6 + 286/87, c_0110_6^13 + c_0110_6^12 - c_0110_6^11 - 17*c_0110_6^10 + 31*c_0110_6^9 + 12*c_0110_6^8 - 55*c_0110_6^7 + 12*c_0110_6^6 + 44*c_0110_6^5 - 15*c_0110_6^4 - 19*c_0110_6^3 + 6*c_0110_6^2 + 6*c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.650 Total time: 0.860 seconds, Total memory usage: 32.09MB