Magma V2.19-8 Tue Aug 20 2013 18:09:39 on localhost [Seed = 3532876193] Type ? for help. Type -D to quit. Loading file "11_281__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_281 geometric_solution 13.08694667 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 14 1 2 3 4 0132 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 1 0 1 0 0 -1 -9 1 0 8 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.271063479052 0.918188510091 0 5 7 6 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 -1 0 0 1 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.339467366227 0.489225941398 8 0 6 9 0132 0132 1230 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 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 0.412208113045 0.984987327574 8 10 11 0 2031 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 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 0 0.647271888715 1.218067843475 7 5 0 9 1302 1302 0132 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.363300843823 0.929682732831 8 1 6 4 1023 0132 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.016005925053 1.512024342746 5 12 1 2 2103 0132 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.764609057260 0.640404828029 11 4 8 1 0132 2031 2031 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -8 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.634428141013 0.411796878325 2 5 3 7 0132 1023 1302 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.312091924202 1.040655572663 12 13 2 4 2031 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.242060669917 0.991044180178 12 3 13 12 3201 0132 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 -1 0 1 -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 0.389517875034 0.947967573656 7 13 13 3 0132 2031 0321 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.604411641761 0.762388153146 10 6 9 10 3012 0132 1302 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 -1 0 1 -1 0 0 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 0.389517875034 0.947967573656 11 9 11 10 1302 0132 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536226785054 1.033430180159 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : d['c_1001_0'], 'c_1001_13' : d['c_1001_13'], 'c_1001_12' : negation(d['c_0101_2']), 'c_1001_5' : negation(d['c_0011_12']), 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0011_12']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_13'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_0'], 'c_1010_13' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : d['c_0011_13'], 'c_1010_10' : d['c_0011_13'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_3_13' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_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_12' : d['1'], 's_2_13' : 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_1100_9' : d['c_0110_6'], 'c_1100_8' : d['c_0101_3'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_6']), 'c_1100_4' : d['c_1001_13'], 'c_1100_7' : negation(d['c_0110_5']), 'c_1100_6' : negation(d['c_0110_5']), 'c_1100_1' : negation(d['c_0110_5']), 'c_1100_0' : d['c_1001_13'], 'c_1100_3' : d['c_1001_13'], 'c_1100_2' : d['c_0110_6'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_13'], 'c_1100_10' : negation(d['c_0101_10']), 'c_1100_13' : negation(d['c_0101_10']), 's_0_11' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_12']), 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_1001_13'], 'c_1010_8' : d['c_0110_5'], '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'], 'c_1100_12' : d['c_0011_10'], '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_13']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0101_13' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_12']), '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_3'], 'c_0110_10' : d['c_0011_12'], 'c_0110_13' : d['c_0101_10'], 'c_0110_12' : negation(d['c_0101_10']), 's_0_13' : d['1'], 'c_0101_12' : d['c_0011_13'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0011_11'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_11'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_11'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_2']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0011_11'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0011_4, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0110_5, c_0110_6, c_1001_0, c_1001_13 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 4941620968/137859777*c_1001_13^9 + 666982273/41775690*c_1001_13^8 + 846913739563/1378597770*c_1001_13^7 + 77015793124/137859777*c_1001_13^6 - 103916606491/1378597770*c_1001_13^5 - 1025397703733/459532590*c_1001_13^4 - 150911723407/1378597770*c_1001_13^3 + 278026360504/137859777*c_1001_13^2 + 276098051488/229766295*c_1001_13 - 443380693753/689298885, c_0011_0 - 1, c_0011_10 - 271931/11393370*c_1001_13^9 - 112087/3797790*c_1001_13^8 - 2473519/5696685*c_1001_13^7 - 7704641/11393370*c_1001_13^6 - 3102389/5696685*c_1001_13^5 + 3284657/1898895*c_1001_13^4 + 7567531/5696685*c_1001_13^3 - 3916667/11393370*c_1001_13^2 - 2579341/1265930*c_1001_13 + 6329851/11393370, c_0011_11 - 128662/5696685*c_1001_13^9 + 19106/1898895*c_1001_13^8 - 2202556/5696685*c_1001_13^7 - 78839/11393370*c_1001_13^6 + 2523923/11393370*c_1001_13^5 + 831966/632965*c_1001_13^4 - 10954537/11393370*c_1001_13^3 - 6918203/11393370*c_1001_13^2 + 2697163/3797790*c_1001_13 + 805517/5696685, c_0011_12 + 1472009/34180110*c_1001_13^9 - 162178/17090055*c_1001_13^8 + 1393769/1898895*c_1001_13^7 + 3067967/17090055*c_1001_13^6 - 6803509/17090055*c_1001_13^5 - 86347003/34180110*c_1001_13^4 + 8152577/5696685*c_1001_13^3 + 28901591/11393370*c_1001_13^2 + 3561913/17090055*c_1001_13 - 8527162/17090055, c_0011_13 + 627061/34180110*c_1001_13^9 + 291463/17090055*c_1001_13^8 + 209402/632965*c_1001_13^7 + 7499383/17090055*c_1001_13^6 + 5852614/17090055*c_1001_13^5 - 35188727/34180110*c_1001_13^4 - 1173692/5696685*c_1001_13^3 + 8976919/11393370*c_1001_13^2 + 7576307/17090055*c_1001_13 - 12112808/17090055, c_0011_4 - 39530/1139337*c_1001_13^9 - 13883/759558*c_1001_13^8 - 1299931/2278674*c_1001_13^7 - 1274209/2278674*c_1001_13^6 + 519086/1139337*c_1001_13^5 + 735899/253186*c_1001_13^4 + 248849/1139337*c_1001_13^3 - 7683619/2278674*c_1001_13^2 - 726587/253186*c_1001_13 + 2125660/1139337, c_0101_0 - 526459/17090055*c_1001_13^9 - 453944/17090055*c_1001_13^8 - 5971003/11393370*c_1001_13^7 - 11708864/17090055*c_1001_13^6 + 905951/34180110*c_1001_13^5 + 78270061/34180110*c_1001_13^4 + 1800802/1898895*c_1001_13^3 - 1483319/632965*c_1001_13^2 - 60230747/34180110*c_1001_13 + 13150834/17090055, c_0101_10 - 76223/5696685*c_1001_13^9 + 6423/632965*c_1001_13^8 - 1204349/5696685*c_1001_13^7 + 824549/11393370*c_1001_13^6 + 2773361/5696685*c_1001_13^5 + 3687949/3797790*c_1001_13^4 - 5910893/11393370*c_1001_13^3 - 6389216/5696685*c_1001_13^2 + 1301531/1898895*c_1001_13 + 7092011/11393370, c_0101_2 + 2631277/34180110*c_1001_13^9 + 94366/17090055*c_1001_13^8 + 7526261/5696685*c_1001_13^7 + 12291811/17090055*c_1001_13^6 - 12935059/34180110*c_1001_13^5 - 75483757/17090055*c_1001_13^4 + 6974471/5696685*c_1001_13^3 + 17287654/5696685*c_1001_13^2 + 3238183/34180110*c_1001_13 - 24448717/34180110, c_0101_3 + 607823/34180110*c_1001_13^9 - 806387/34180110*c_1001_13^8 + 3569413/11393370*c_1001_13^7 - 9166637/34180110*c_1001_13^6 - 5791961/34180110*c_1001_13^5 - 32012041/34180110*c_1001_13^4 + 2387048/1898895*c_1001_13^3 - 952801/3797790*c_1001_13^2 - 16398719/17090055*c_1001_13 + 14483407/34180110, c_0110_5 + 66491/17090055*c_1001_13^9 - 283153/34180110*c_1001_13^8 + 264326/5696685*c_1001_13^7 - 4304593/34180110*c_1001_13^6 - 14666629/34180110*c_1001_13^5 - 10538152/17090055*c_1001_13^4 + 4158161/5696685*c_1001_13^3 + 11718353/11393370*c_1001_13^2 + 1839194/17090055*c_1001_13 - 18734066/17090055, c_0110_6 - 111850/3418011*c_1001_13^9 - 162218/3418011*c_1001_13^8 - 145541/253186*c_1001_13^7 - 7563667/6836022*c_1001_13^6 - 1509530/3418011*c_1001_13^5 + 10590601/6836022*c_1001_13^4 + 3928841/2278674*c_1001_13^3 - 3759431/2278674*c_1001_13^2 - 5663170/3418011*c_1001_13 - 336911/3418011, c_1001_0 + 1243183/17090055*c_1001_13^9 + 557783/17090055*c_1001_13^8 + 7208323/5696685*c_1001_13^7 + 39345871/34180110*c_1001_13^6 + 3170969/17090055*c_1001_13^5 - 141230077/34180110*c_1001_13^4 + 647021/11393370*c_1001_13^3 + 18317012/5696685*c_1001_13^2 + 38422687/17090055*c_1001_13 - 43841231/34180110, c_1001_13^10 + 17*c_1001_13^8 + 8*c_1001_13^7 - 8*c_1001_13^6 - 60*c_1001_13^5 + 25*c_1001_13^4 + 54*c_1001_13^3 + 7*c_1001_13^2 - 30*c_1001_13 + 11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 14.920 Total time: 15.130 seconds, Total memory usage: 195.22MB