Magma V2.19-8 Wed Aug 21 2013 00:51:13 on localhost [Seed = 543569244] Type ? for help. Type -D to quit. Loading file "L11a205__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a205 geometric_solution 12.10968214 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 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 1 -1 0 0 0 0 1 1 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.774328291779 1.144261709194 0 0 5 4 0132 1302 0132 0132 1 1 1 0 0 0 -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 7 -7 0 0 0 0 -1 1 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594362974106 0.599429107123 5 0 5 6 0132 0132 3012 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.165903048207 0.841206489720 7 8 9 0 0132 0132 0132 0132 1 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 1 0 -1 -8 0 8 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 0.163747694471 0.488649464311 7 9 1 7 2103 1230 0132 1023 1 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 -7 7 0 8 0 0 -8 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.165903048207 0.841206489720 2 2 7 1 0132 1230 0213 0132 1 1 0 1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594362974106 0.599429107123 8 10 2 9 0213 0132 0132 0321 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 0.660230217127 0.630372067301 3 5 4 4 0132 0213 2103 1023 1 1 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 0 0 0 0 0 0 0 0 -7 -1 8 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.774328291779 1.144261709194 6 3 10 11 0213 0132 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 -1 0 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 0.270482347442 0.452122881515 11 6 4 3 0213 0321 3012 0132 1 1 1 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 1 0 7 -8 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.376558540194 0.632048248249 12 6 12 8 0132 0132 1230 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 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.764010125974 0.910113306965 9 12 8 12 0213 1230 0132 2031 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 -1 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 0.764010125974 0.910113306965 10 11 11 10 0132 1302 3012 3012 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 1 -1 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 0.458923125572 0.644548084857 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_9']), 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0011_4']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_1001_0'], 's_3_11' : d['1'], 's_3_10' : 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_0011_9'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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_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' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : d['c_0110_4'], 'c_1100_7' : negation(d['c_0110_4']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0011_4']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : d['c_0101_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_4'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : d['c_1001_10'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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'], 'c_1100_12' : negation(d['c_1001_10']), '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_10']), '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' : negation(d['c_0011_11']), 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_0'], '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' : negation(d['c_0011_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0011_9'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10']})} 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_4, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0110_4, c_1001_0, c_1001_10, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 2729654/4725*c_1001_4^17 - 3750934/4725*c_1001_4^16 - 18063973/4725*c_1001_4^15 + 2059139/525*c_1001_4^14 + 71031017/4725*c_1001_4^13 - 49678393/4725*c_1001_4^12 - 35580974/945*c_1001_4^11 + 8125438/525*c_1001_4^10 + 309072586/4725*c_1001_4^9 - 314995/27*c_1001_4^8 - 73528633/945*c_1001_4^7 - 3328727/1575*c_1001_4^6 + 293154187/4725*c_1001_4^5 + 21164648/1575*c_1001_4^4 - 46873933/1575*c_1001_4^3 - 62842454/4725*c_1001_4^2 + 1094938/175*c_1001_4 + 26796661/4725, c_0011_0 - 1, c_0011_10 - c_1001_4^5 + 2*c_1001_4^3 + c_1001_4^2 - 2*c_1001_4 - 1, c_0011_11 + c_1001_4^16 - c_1001_4^15 - 6*c_1001_4^14 + 3*c_1001_4^13 + 21*c_1001_4^12 - 3*c_1001_4^11 - 44*c_1001_4^10 - 7*c_1001_4^9 + 60*c_1001_4^8 + 23*c_1001_4^7 - 50*c_1001_4^6 - 31*c_1001_4^5 + 23*c_1001_4^4 + 21*c_1001_4^3 - 2*c_1001_4^2 - 7*c_1001_4 - 2, c_0011_3 - c_1001_4, c_0011_4 + 1, c_0011_9 - c_1001_4^14 + c_1001_4^13 + 5*c_1001_4^12 - 2*c_1001_4^11 - 15*c_1001_4^10 + 25*c_1001_4^8 + 10*c_1001_4^7 - 25*c_1001_4^6 - 19*c_1001_4^5 + 11*c_1001_4^4 + 18*c_1001_4^3 + c_1001_4^2 - 7*c_1001_4 - 3, c_0101_0 - 1, c_0101_1 + c_1001_4^17 - c_1001_4^16 - 6*c_1001_4^15 + 4*c_1001_4^14 + 21*c_1001_4^13 - 9*c_1001_4^12 - 46*c_1001_4^11 + 10*c_1001_4^10 + 70*c_1001_4^9 - 4*c_1001_4^8 - 72*c_1001_4^7 - 8*c_1001_4^6 + 49*c_1001_4^5 + 13*c_1001_4^4 - 18*c_1001_4^3 - 10*c_1001_4^2 + 2*c_1001_4 + 2, c_0101_10 + c_1001_4^7 - 3*c_1001_4^5 - c_1001_4^4 + 5*c_1001_4^3 + 2*c_1001_4^2 - 3*c_1001_4 - 2, c_0110_4 + c_1001_4^17 - 6*c_1001_4^15 - 3*c_1001_4^14 + 19*c_1001_4^13 + 15*c_1001_4^12 - 34*c_1001_4^11 - 39*c_1001_4^10 + 36*c_1001_4^9 + 59*c_1001_4^8 - 16*c_1001_4^7 - 57*c_1001_4^6 - 9*c_1001_4^5 + 31*c_1001_4^4 + 18*c_1001_4^3 - 7*c_1001_4^2 - 10*c_1001_4 - 3, c_1001_0 - c_1001_4^16 + c_1001_4^15 + 6*c_1001_4^14 - 3*c_1001_4^13 - 21*c_1001_4^12 + 3*c_1001_4^11 + 44*c_1001_4^10 + 7*c_1001_4^9 - 60*c_1001_4^8 - 23*c_1001_4^7 + 50*c_1001_4^6 + 31*c_1001_4^5 - 23*c_1001_4^4 - 21*c_1001_4^3 + 2*c_1001_4^2 + 7*c_1001_4 + 2, c_1001_10 + c_1001_4^3 - c_1001_4 - 1, c_1001_4^18 - c_1001_4^17 - 7*c_1001_4^16 + 4*c_1001_4^15 + 28*c_1001_4^14 - 7*c_1001_4^13 - 70*c_1001_4^12 - 2*c_1001_4^11 + 119*c_1001_4^10 + 30*c_1001_4^9 - 135*c_1001_4^8 - 64*c_1001_4^7 + 98*c_1001_4^6 + 71*c_1001_4^5 - 36*c_1001_4^4 - 46*c_1001_4^3 - c_1001_4^2 + 14*c_1001_4 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.170 Total time: 0.370 seconds, Total memory usage: 32.09MB