Magma V2.19-8 Tue Aug 20 2013 23:45:49 on localhost [Seed = 2581593206] Type ? for help. Type -D to quit. Loading file "K14a12310__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14a12310 geometric_solution 9.48266508 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1.032938102157 0.772948420731 0 0 3 4 0132 2310 3120 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 1 0 -1 0 0 1 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379396985210 0.464397739982 4 0 6 5 1230 0132 0132 0132 0 0 0 0 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 1 0 -1 -1 0 0 1 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.196197324630 0.700670633824 4 6 1 0 0132 0132 3120 0132 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 -3 3 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.565571734580 0.827004567467 3 2 1 7 0132 3012 0132 0132 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 -1 1 -1 1 0 0 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.609660197672 1.433537351938 8 6 2 9 0132 0213 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 -1 1 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.279956427808 0.572859152111 7 3 5 2 1302 0132 0213 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 0 0 0 0 0 0 0 0 0 0 -1 -3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.707544095294 0.763538285563 9 6 4 9 3012 2031 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 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 0.279956427808 0.572859152111 5 10 10 9 0132 0132 3201 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.904524812830 0.784886101625 8 7 5 7 3012 1302 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.850481640281 0.676634317913 8 8 11 11 2310 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.101011265289 0.650130557266 10 11 11 10 3201 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.666730855848 0.100797856570 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_11']), 'c_1001_10' : d['c_0101_11'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : negation(d['c_0101_2']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_0110_7'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : negation(d['c_0101_10']), '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' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0110_7'], 'c_1100_8' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0110_7'], 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : d['c_0110_7'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0110_7'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_1001_1']), 'c_1010_5' : d['c_0110_7'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_0101_3'], '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' : 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' : negation(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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_3']), '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_10'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_11'], '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_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0101_2']})} 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_3, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0110_7, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 37 Groebner basis: [ t + 56854444583768993367/25260884157638272*c_1001_1^36 + 28310615054887676507/6315221039409568*c_1001_1^35 + 307479993185135057637/12630442078819136*c_1001_1^34 + 1035018462905820839453/25260884157638272*c_1001_1^33 + 1579362109790158433007/12630442078819136*c_1001_1^32 + 4707930156849358852937/25260884157638272*c_1001_1^31 + 10165973018813145860531/25260884157638272*c_1001_1^30 + 13585654021142142439889/25260884157638272*c_1001_1^29 + 1738851664765251127319/1943144935202944*c_1001_1^28 + 2476942181704609927595/2296444014330752*c_1001_1^27 + 1576563575846742376733/1098299311201664*c_1001_1^26 + 19615263184441033875489/12630442078819136*c_1001_1^25 + 3257670706674697162339/1943144935202944*c_1001_1^24 + 919908790911743265877/574111003582688*c_1001_1^23 + 1355261029520277290281/971572467601472*c_1001_1^22 + 14199011081275460833923/12630442078819136*c_1001_1^21 + 19147390432967707438713/25260884157638272*c_1001_1^20 + 5673769046447993831833/12630442078819136*c_1001_1^19 + 1301605658971723298129/6315221039409568*c_1001_1^18 + 65919567639148093373/1943144935202944*c_1001_1^17 + 145124273197208175173/6315221039409568*c_1001_1^16 + 685053052592333756505/25260884157638272*c_1001_1^15 + 3155378569084394006191/25260884157638272*c_1001_1^14 + 4559985995019365994433/25260884157638272*c_1001_1^13 + 5296409719780692839687/25260884157638272*c_1001_1^12 + 5337817350216545958977/25260884157638272*c_1001_1^11 + 3844977933043954892579/25260884157638272*c_1001_1^10 + 2406829508632470574535/25260884157638272*c_1001_1^9 + 782325826956998227227/25260884157638272*c_1001_1^8 - 17220092458424638143/2296444014330752*c_1001_1^7 - 426382741748985339339/25260884157638272*c_1001_1^6 - 650595542253841619865/25260884157638272*c_1001_1^5 - 7432386264587789335/394701314963098*c_1001_1^4 - 119419312927557910437/25260884157638272*c_1001_1^3 + 189012432858136909855/25260884157638272*c_1001_1^2 + 62467527334418396661/6315221039409568*c_1001_1 + 81601985931775668259/25260884157638272, c_0011_0 - 1, c_0011_10 - c_1001_1^10 - 3*c_1001_1^8 - 4*c_1001_1^6 - c_1001_1^4 + c_1001_1^2 + 1, c_0011_11 + c_1001_1^31 + 8*c_1001_1^29 + 32*c_1001_1^27 + 80*c_1001_1^25 + 136*c_1001_1^23 + 160*c_1001_1^21 + 128*c_1001_1^19 + 64*c_1001_1^17 + 18*c_1001_1^15 + 8*c_1001_1^13 + 16*c_1001_1^11 + 16*c_1001_1^9 + 8*c_1001_1^7, c_0011_3 - c_1001_1^4 - c_1001_1^2 - 1, c_0101_0 + c_1001_1, c_0101_10 - c_1001_1^26 - 7*c_1001_1^24 - 24*c_1001_1^22 - 49*c_1001_1^20 - 63*c_1001_1^18 - 47*c_1001_1^16 - 12*c_1001_1^14 + 12*c_1001_1^12 + 10*c_1001_1^10 - 2*c_1001_1^8 - 8*c_1001_1^6 - 3*c_1001_1^4 + c_1001_1^2 + 1, c_0101_11 - c_1001_1^15 - 4*c_1001_1^13 - 8*c_1001_1^11 - 8*c_1001_1^9 - 4*c_1001_1^7, c_0101_2 + c_1001_1^5 + 2*c_1001_1^3 + c_1001_1, c_0101_3 + c_1001_1^2 + 1, c_0110_7 - c_1001_1^7 - 2*c_1001_1^5 - 2*c_1001_1^3, c_1001_0 + c_1001_1^2 + 1, c_1001_1^37 + c_1001_1^36 + 10*c_1001_1^35 + 9*c_1001_1^34 + 49*c_1001_1^33 + 41*c_1001_1^32 + 152*c_1001_1^31 + 120*c_1001_1^30 + 328*c_1001_1^29 + 248*c_1001_1^28 + 512*c_1001_1^27 + 375*c_1001_1^26 + 583*c_1001_1^25 + 417*c_1001_1^24 + 474*c_1001_1^23 + 328*c_1001_1^22 + 257*c_1001_1^21 + 161*c_1001_1^20 + 82*c_1001_1^19 + 27*c_1001_1^18 + 31*c_1001_1^17 - 5*c_1001_1^16 + 60*c_1001_1^15 + 28*c_1001_1^14 + 76*c_1001_1^13 + 52*c_1001_1^12 + 48*c_1001_1^11 + 34*c_1001_1^10 + 10*c_1001_1^9 + 6*c_1001_1^8 - 4*c_1001_1^7 - 8*c_1001_1^6 - 3*c_1001_1^5 - 3*c_1001_1^4 + 2*c_1001_1^3 + c_1001_1^2 + c_1001_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.740 Total time: 0.950 seconds, Total memory usage: 32.09MB