Magma V2.19-8 Thu Sep 12 2013 15:24:51 on localhost [Seed = 2263269830] Type ? for help. Type -D to quit. Loading file "10^3_73__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^3_73 geometric_solution 15.86374431 oriented_manifold CS_known -0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 17 1 2 3 4 0132 0132 0132 0132 0 1 0 1 0 0 0 0 1 0 -1 0 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 1 0 -1 -1 0 2 -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 -0.393345984683 2.306518358731 0 4 6 5 0132 1023 0132 0132 1 1 1 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 1 0 0 -1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.670130525279 1.065872825133 7 0 8 3 0132 0132 0132 3120 0 1 1 0 0 0 0 0 -1 0 0 1 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 -1 0 1 2 0 0 -2 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.347148348615 0.625402200455 2 9 10 0 3120 0132 0132 0132 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 0 0 0 0 0 0 0 2 0 0 -2 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.299783643716 0.743725145182 1 11 0 12 1023 0132 0132 0132 0 1 1 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 -1 1 0 -1 0 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 0.263587685033 0.542611592384 7 13 1 13 2103 0132 0132 1230 1 1 2 1 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 1 -1 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467141756417 0.642362672689 9 14 8 1 3120 0132 3120 0132 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 -1 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 0.287984271205 0.853036545712 2 11 5 11 0132 1023 2103 1302 2 1 0 1 0 1 0 -1 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 2 -1 -1 -2 0 0 2 0 -1 0 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.692094489024 0.554704594923 12 15 6 2 1302 0132 3120 0132 0 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 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 0.315081344902 0.584373788496 14 3 10 6 2031 0132 2103 3120 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 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 1.477249842034 1.814519470009 9 14 12 3 2103 2031 0132 0132 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 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 0.489306377009 0.503022990073 7 4 7 15 1023 0132 2031 0132 0 2 0 1 0 1 -1 0 -1 0 1 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 -1 0 -2 0 1 1 1 -1 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.692094489024 0.554704594923 13 8 4 10 3012 2031 0132 0132 0 1 1 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 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 0.166665606259 1.247951271468 5 5 16 12 3012 0132 0132 1230 1 1 1 2 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.764976950775 0.922182671588 10 6 9 16 1302 0132 1302 0132 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 0 0.320776381784 1.127923590433 16 8 11 16 0213 0132 0132 3201 0 2 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 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 0.849798931802 1.117401089177 15 15 14 13 0213 2310 0132 0132 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.568792708484 0.566994708007 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : d['c_1001_15'], 'c_1001_14' : d['c_0101_1'], 'c_1001_16' : d['c_1001_16'], 'c_1001_11' : negation(d['c_0101_2']), 'c_1001_10' : negation(d['c_0011_15']), 'c_1001_13' : d['c_0101_13'], 'c_1001_12' : negation(d['c_0101_2']), 'c_1001_5' : d['c_0101_12'], 'c_1001_4' : d['c_1001_15'], 'c_1001_7' : negation(d['c_0011_13']), 'c_1001_6' : d['c_1001_16'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0011_10'], 'c_1001_3' : d['c_0011_14'], 'c_1001_2' : d['c_1001_15'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_1001_16']), 'c_1010_13' : d['c_0101_12'], 'c_1010_12' : negation(d['c_0011_15']), 'c_1010_11' : d['c_1001_15'], 'c_1010_10' : d['c_0011_14'], 'c_1010_16' : d['c_0101_13'], 'c_1010_15' : negation(d['c_1001_16']), 'c_1010_14' : d['c_1001_16'], 's_3_11' : d['1'], 's_0_11' : negation(d['1']), 's_0_12' : d['1'], 's_0_13' : d['1'], 's_3_15' : d['1'], 's_3_14' : d['1'], 's_0_16' : d['1'], 's_3_16' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_13']), 'c_0101_10' : d['c_0101_10'], 'c_0101_16' : d['c_0011_15'], 'c_0101_15' : d['c_0011_16'], 'c_0101_14' : negation(d['c_0011_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_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_16' : d['1'], 's_0_8' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_15' : d['c_0011_15'], 'c_0011_14' : d['c_0011_14'], 'c_0011_16' : d['c_0011_16'], 'c_0011_11' : d['c_0011_0'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_12'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_13']), 'c_1100_6' : d['c_0011_12'], 'c_1100_1' : d['c_0011_12'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_3']), 'c_1100_14' : d['c_0101_10'], 's_0_15' : d['1'], 'c_1100_15' : negation(d['c_0011_16']), 's_0_10' : d['1'], 'c_1100_16' : d['c_0101_10'], 'c_1100_11' : negation(d['c_0011_16']), 'c_1100_10' : d['c_1100_0'], 'c_1100_13' : d['c_0101_10'], 's_3_10' : d['1'], 'c_1100_9' : negation(d['c_0101_3']), 's_3_13' : d['1'], 'c_1010_7' : d['c_0011_16'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0101_13'], 's_3_12' : d['1'], 'c_1010_3' : d['c_0011_10'], 'c_1010_2' : d['c_0011_10'], 'c_1010_1' : d['c_0101_12'], 'c_1010_0' : d['c_1001_15'], 's_0_14' : d['1'], 'c_1010_9' : d['c_0011_14'], 'c_1010_8' : d['c_1001_15'], 'c_1100_8' : negation(d['c_0101_3']), 's_3_1' : d['1'], 's_3_0' : negation(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_1100_0'], 's_1_7' : negation(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' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_15']), 'c_0011_5' : negation(d['c_0011_13']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0101_13' : d['c_0101_13'], 'c_0011_6' : negation(d['c_0011_14']), '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_0011_16'], 'c_0110_10' : d['c_0101_3'], 'c_0110_13' : d['c_0011_12'], 'c_0110_12' : d['c_0101_10'], 'c_0110_15' : negation(d['c_0101_13']), 'c_0110_14' : d['c_0011_15'], 'c_0110_16' : d['c_0101_13'], 'c_1010_4' : negation(d['c_0101_2']), 'c_0101_12' : d['c_0101_12'], 'c_0011_7' : d['c_0011_0'], 's_2_14' : d['1'], 's_2_15' : d['1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0011_12']), 's_1_16' : d['1'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_13'], 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_13, c_0011_14, c_0011_15, c_0011_16, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_13, c_0101_2, c_0101_3, c_1001_15, c_1001_16, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 36249785295900280959/12533659679658506480*c_1100_0^9 + 52554262917403701871/6266829839829253240*c_1100_0^8 + 86617061590196712023/3133414919914626620*c_1100_0^7 + 1345306571163654650851/6266829839829253240*c_1100_0^6 - 7692109948387466464937/12533659679658506480*c_1100_0^5 - 1505421694591504964936/783353729978656655*c_1100_0^4 - 16130587817886358964373/6266829839829253240*c_1100_0^3 + 26922456633879372990821/6266829839829253240*c_1100_0^2 - 20119123417567398665821/12533659679658506480*c_1100_0 + 993032583402606002857/6266829839829253240, c_0011_0 - 1, c_0011_10 + 73883513/12254898640*c_1100_0^9 - 21487419/1225489864*c_1100_0^8 - 8696316/153186233*c_1100_0^7 - 550458561/1225489864*c_1100_0^6 + 15616966543/12254898640*c_1100_0^\ 5 + 2409451561/612744932*c_1100_0^4 + 6738229295/1225489864*c_1100_0^3 - 50803097023/6127449320*c_1100_0^2 + 58828979247/12254898640*c_1100_0 - 9437168521/6127449320, c_0011_12 + 1568599591/12254898640*c_1100_0^9 - 251764556/765931165*c_1100_0^8 - 3969872779/3063724660*c_1100_0^7 - 30721238259/3063724660*c_1100_0^6 + 57508347251/2450979728*c_1100_0^5 + 551627204839/6127449320*c_1100_0^4 + 115549035563/765931165*c_1100_0^3 - 699189959437/6127449320*c_1100_0^2 + 882756477939/12254898640*c_1100_0 - 179176905419/6127449320, c_0011_13 + 1, c_0011_14 - 31374871/12254898640*c_1100_0^9 + 72264161/12254898640*c_1100_0^8 + 43105047/1531862330*c_1100_0^7 + 634627279/3063724660*c_1100_0^6 - 1056817741/2450979728*c_1100_0^5 - 24077046443/12254898640*c_1100_0^4 - 20927971129/6127449320*c_1100_0^3 + 7322336191/3063724660*c_1100_0^2 + 1387159631/12254898640*c_1100_0 - 1635653767/12254898640, c_0011_15 - 28677937/12254898640*c_1100_0^9 + 13666499/2450979728*c_1100_0^8 + 7596525/306372466*c_1100_0^7 + 231630837/1225489864*c_1100_0^6 - 4906327137/12254898640*c_1100_0^5 - 4225185469/2450979728*c_1100_0^4 - 967883913/306372466*c_1100_0^3 + 2814460873/1531862330*c_1100_0^2 - 5393467793/12254898640*c_1100_0 + 10593580093/12254898640, c_0011_16 - 22105457/12254898640*c_1100_0^9 + 22598593/6127449320*c_1100_0^8 + 122587583/6127449320*c_1100_0^7 + 931308313/6127449320*c_1100_0^6 - 3024856021/12254898640*c_1100_0^5 - 8486765529/6127449320*c_1100_0^4 - 8772329987/3063724660*c_1100_0^3 - 665341951/3063724660*c_1100_0^2 - 12274489803/12254898640*c_1100_0 + 1458745743/3063724660, c_0101_0 - 1, c_0101_1 + 2165641/2450979728*c_1100_0^9 + 1791059/12254898640*c_1100_0^8 - 90634013/6127449320*c_1100_0^7 - 72851671/765931165*c_1100_0^6 - 373053411/12254898640*c_1100_0^5 + 12685953493/12254898640*c_1100_0^4 + 2184909818/765931165*c_1100_0^3 + 13705587749/6127449320*c_1100_0^2 - 2606290269/2450979728*c_1100_0 + 9537947981/12254898640, c_0101_10 - 160646999/6127449320*c_1100_0^9 + 777697009/12254898640*c_1100_0^8 + 1679212247/6127449320*c_1100_0^7 + 12842326387/6127449320*c_1100_0^6 - 13751473391/3063724660*c_1100_0^5 - 233284052267/12254898640*c_1100_0^4 - 207318312391/6127449320*c_1100_0^3 + 54345703821/3063724660*c_1100_0^2 - 84972049861/6127449320*c_1100_0 + 47007882063/12254898640, c_0101_12 + 824523597/6127449320*c_1100_0^9 - 841813241/2450979728*c_1100_0^8 - 209384383/153186233*c_1100_0^7 - 1618384686/153186233*c_1100_0^6 + 37525283903/1531862330*c_1100_0^5 + 232750098465/2450979728*c_1100_0^4 + 196300596891/1225489864*c_1100_0^3 - 717557259719/6127449320*c_1100_0^2 + 114955394397/1531862330*c_1100_0 - 358341039211/12254898640, c_0101_13 - 80447603/12254898640*c_1100_0^9 + 180833309/12254898640*c_1100_0^8 + 217814881/3063724660*c_1100_0^7 + 1646455461/3063724660*c_1100_0^6 - 12660534969/12254898640*c_1100_0^5 - 60496082647/12254898640*c_1100_0^4 - 57110699951/6127449320*c_1100_0^3 + 9183650141/3063724660*c_1100_0^2 - 36886677237/12254898640*c_1100_0 - 12771627/12254898640, c_0101_2 - 22105457/12254898640*c_1100_0^9 + 22598593/6127449320*c_1100_0^8 + 122587583/6127449320*c_1100_0^7 + 931308313/6127449320*c_1100_0^6 - 3024856021/12254898640*c_1100_0^5 - 8486765529/6127449320*c_1100_0^4 - 8772329987/3063724660*c_1100_0^3 - 665341951/3063724660*c_1100_0^2 - 12274489803/12254898640*c_1100_0 - 1604978917/3063724660, c_0101_3 - 2714581/6127449320*c_1100_0^9 + 1865146/765931165*c_1100_0^8 + 4737983/6127449320*c_1100_0^7 + 17770121/765931165*c_1100_0^6 - 281018817/1531862330*c_1100_0^5 - 272453289/6127449320*c_1100_0^4 + 1878710901/6127449320*c_1100_0^3 + 11872335603/6127449320*c_1100_0^2 - 8069089999/6127449320*c_1100_0 + 4781392151/6127449320, c_1001_15 + 1829773/532821680*c_1100_0^9 - 101687/11583080*c_1100_0^8 - 9463921/266410840*c_1100_0^7 - 71157751/266410840*c_1100_0^6 + 14670287/23166160*c_1100_0^5 + 658515033/266410840*c_1100_0^4 + 520988529/133205420*c_1100_0^3 - 4070177/1158308*c_1100_0^2 + 935019947/532821680*c_1100_0 - 6937291/13320542, c_1001_16 + 4474342/765931165*c_1100_0^9 - 18321477/1225489864*c_1100_0^8 - 71519079/1225489864*c_1100_0^7 - 562786113/1225489864*c_1100_0^6 + 1610882919/1531862330*c_1100_0^5 + 2486303873/612744932*c_1100_0^4 + 2143908025/306372466*c_1100_0^3 - 25615831337/6127449320*c_1100_0^2 + 27072732579/6127449320*c_1100_0 - 5533238429/6127449320, c_1100_0^10 - 3*c_1100_0^9 - 9*c_1100_0^8 - 74*c_1100_0^7 + 217*c_1100_0^6 + 623*c_1100_0^5 + 877*c_1100_0^4 - 1390*c_1100_0^3 + 967*c_1100_0^2 - 471*c_1100_0 + 101 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.260 Total time: 1.459 seconds, Total memory usage: 64.12MB