Magma V2.19-8 Tue Aug 20 2013 23:46:31 on localhost [Seed = 2513698690] Type ? for help. Type -D to quit. Loading file "K14n19921__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n19921 geometric_solution 10.61089202 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 0213 0132 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 1 0 -1 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 0.278144169501 1.094796130090 0 3 0 4 0132 2031 0213 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 -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 0.782008894612 0.858029197597 5 3 6 0 0132 0132 0132 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 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 0.595552932163 0.522219008173 1 2 0 7 1302 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.677502726434 1.580569939427 8 9 1 7 0132 0132 0132 3120 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 0 0 0 0 -15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.903143760383 0.511909462451 2 6 8 10 0132 0213 0132 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 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 0.427207637929 0.459659510967 9 7 5 2 3012 0132 0213 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 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 0.427207637929 0.459659510967 4 6 3 11 3120 0132 0132 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 0.367397302522 0.264598557698 4 11 11 5 0132 0132 2103 0132 0 0 0 0 0 1 -1 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 -15 15 0 0 0 0 0 15 -15 0 0 0 -15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.915147332933 1.167261074340 10 4 10 6 3120 0132 1302 1230 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 16 -15 0 -1 16 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.350144198905 0.599698675133 9 11 5 9 2031 0321 0132 3120 0 0 0 0 0 -1 0 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 16 0 -16 0 0 0 0 16 0 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.273920474712 1.243570308225 8 8 7 10 2103 0132 0132 0321 0 0 0 0 0 -1 0 1 0 0 0 0 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 15 1 -16 0 0 0 0 -15 15 0 0 -15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.903424760424 0.642215220390 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_11'], 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_7' : d['c_1001_2'], 'c_1001_6' : d['c_1001_11'], 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : negation(d['c_0101_7']), 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0011_11'], 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_0_11' : 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_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : negation(d['c_0101_7']), 'c_1100_0' : d['c_1001_10'], 'c_1100_3' : d['c_1001_10'], 'c_1100_2' : d['c_1001_10'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_10'], 'c_1100_10' : d['c_0011_10'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_1001_2'], 'c_1010_2' : negation(d['c_0101_7']), 'c_1010_1' : negation(d['c_0011_2']), 'c_1010_0' : negation(d['c_0101_7']), 'c_1010_9' : negation(d['c_0011_2']), 'c_1010_8' : d['c_1001_11'], 'c_1100_8' : d['c_0011_10'], '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_11']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : negation(d['c_0011_6']), '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_2']), 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0011_6'], 'c_0110_0' : d['c_0011_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_2']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0101_11'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_10'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_11'], '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_2, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_7, c_1001_10, c_1001_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 95599771/4474580*c_1001_2^14 + 288314319/406780*c_1001_2^13 - 9629438149/1118645*c_1001_2^12 + 255895292173/4474580*c_1001_2^11 - 1093570385487/4474580*c_1001_2^10 + 1643909818863/2237290*c_1001_2^9 - 1471238500671/894916*c_1001_2^8 + 1267499471435/447458*c_1001_2^7 - 4276384691096/1118645*c_1001_2^6 + 4533399337376/1118645*c_1001_2^5 - 14936035014763/4474580*c_1001_2^4 + 4645205396247/2237290*c_1001_2^3 - 1033260885596/1118645*c_1001_2^2 + 1172460589859/4474580*c_1001_2 - 40377853136/1118645, c_0011_0 - 1, c_0011_10 - 2*c_1001_2^13 + 30*c_1001_2^12 - 202*c_1001_2^11 + 821*c_1001_2^10 - 2290*c_1001_2^9 + 4703*c_1001_2^8 - 7377*c_1001_2^7 + 8970*c_1001_2^6 - 8442*c_1001_2^5 + 6027*c_1001_2^4 - 3131*c_1001_2^3 + 1086*c_1001_2^2 - 211*c_1001_2 + 14, c_0011_11 - 8*c_1001_2^14 + 123*c_1001_2^13 - 849*c_1001_2^12 + 3530*c_1001_2^11 - 10028*c_1001_2^10 + 20849*c_1001_2^9 - 32867*c_1001_2^8 + 39736*c_1001_2^7 - 36469*c_1001_2^6 + 24347*c_1001_2^5 - 10494*c_1001_2^4 + 1612*c_1001_2^3 + 1104*c_1001_2^2 - 733*c_1001_2 + 146, c_0011_2 - 3*c_1001_2^13 + 45*c_1001_2^12 - 303*c_1001_2^11 + 1232*c_1001_2^10 - 3441*c_1001_2^9 + 7086*c_1001_2^8 - 11164*c_1001_2^7 + 13666*c_1001_2^6 - 12993*c_1001_2^5 + 9424*c_1001_2^4 - 5027*c_1001_2^3 + 1829*c_1001_2^2 - 394*c_1001_2 + 35, c_0011_6 - 2*c_1001_2^13 + 30*c_1001_2^12 - 202*c_1001_2^11 + 821*c_1001_2^10 - 2290*c_1001_2^9 + 4703*c_1001_2^8 - 7377*c_1001_2^7 + 8970*c_1001_2^6 - 8442*c_1001_2^5 + 6027*c_1001_2^4 - 3131*c_1001_2^3 + 1086*c_1001_2^2 - 211*c_1001_2 + 14, c_0101_0 - c_1001_2, c_0101_10 - 5*c_1001_2^14 + 85*c_1001_2^13 - 657*c_1001_2^12 + 3093*c_1001_2^11 - 10039*c_1001_2^10 + 24073*c_1001_2^9 - 44419*c_1001_2^8 + 64462*c_1001_2^7 - 74176*c_1001_2^6 + 67418*c_1001_2^5 - 47603*c_1001_2^4 + 25266*c_1001_2^3 - 9484*c_1001_2^2 + 2240*c_1001_2 - 250, c_0101_11 + 7*c_1001_2^13 - 104*c_1001_2^12 + 692*c_1001_2^11 - 2774*c_1001_2^10 + 7623*c_1001_2^9 - 15416*c_1001_2^8 + 23794*c_1001_2^7 - 28429*c_1001_2^6 + 26229*c_1001_2^5 - 18279*c_1001_2^4 + 9207*c_1001_2^3 - 3047*c_1001_2^2 + 544*c_1001_2 - 26, c_0101_7 - 8*c_1001_2^14 + 136*c_1001_2^13 - 1051*c_1001_2^12 + 4946*c_1001_2^11 - 16045*c_1001_2^10 + 38451*c_1001_2^9 - 70894*c_1001_2^8 + 102776*c_1001_2^7 - 118092*c_1001_2^6 + 107110*c_1001_2^5 - 75395*c_1001_2^4 + 39829*c_1001_2^3 - 14838*c_1001_2^2 + 3463*c_1001_2 - 379, c_1001_10 + 3*c_1001_2^13 - 45*c_1001_2^12 + 303*c_1001_2^11 - 1232*c_1001_2^10 + 3441*c_1001_2^9 - 7086*c_1001_2^8 + 11164*c_1001_2^7 - 13666*c_1001_2^6 + 12993*c_1001_2^5 - 9424*c_1001_2^4 + 5027*c_1001_2^3 - 1829*c_1001_2^2 + 394*c_1001_2 - 35, c_1001_11 - 3*c_1001_2^14 + 47*c_1001_2^13 - 332*c_1001_2^12 + 1419*c_1001_2^11 - 4162*c_1001_2^10 + 8978*c_1001_2^9 - 14790*c_1001_2^8 + 18910*c_1001_2^7 - 18752*c_1001_2^6 + 14143*c_1001_2^5 - 7742*c_1001_2^4 + 2759*c_1001_2^3 - 441*c_1001_2^2 - 63*c_1001_2 + 29, c_1001_2^15 - 18*c_1001_2^14 + 148*c_1001_2^13 - 744*c_1001_2^12 + 2586*c_1001_2^11 - 6658*c_1001_2^10 + 13238*c_1001_2^9 - 20823*c_1001_2^8 + 26213*c_1001_2^7 - 26442*c_1001_2^6 + 21189*c_1001_2^5 - 13225*c_1001_2^4 + 6205*c_1001_2^3 - 2059*c_1001_2^2 + 431*c_1001_2 - 43 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.130 Total time: 1.340 seconds, Total memory usage: 32.09MB