Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [42,6,Mod(25,42)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(42, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("42.25");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 42.e (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 25.1 | ||
Root | of defining polynomial | ||
Character | 42.25 | ||
Dual form | 42.6.e.b.37.1 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
2.00000 | + | 3.46410i | 0.353553 | + | 0.612372i | |||||
4.50000 | − | 7.79423i | 0.288675 | − | 0.500000i | |||||
−8.00000 | + | 13.8564i | −0.250000 | + | 0.433013i | |||||
−43.0000 | − | 74.4782i | −0.769207 | − | 1.33231i | −0.937993 | − | 0.346654i | ||
0.168786 | − | 0.985653i | ||||||||
36.0000 | 0.408248 | |||||||||
24.5000 | − | 127.306i | 0.188982 | − | 0.981981i | |||||
−64.0000 | −0.353553 | |||||||||
−40.5000 | − | 70.1481i | −0.166667 | − | 0.288675i | |||||
172.000 | − | 297.913i | 0.543912 | − | 0.942083i | |||||
−17.0000 | + | 29.4449i | −0.0423611 | + | 0.0733716i | −0.886429 | − | 0.462865i | ||
0.844067 | + | 0.536237i | ||||||||
72.0000 | + | 124.708i | 0.144338 | + | 0.250000i | |||||
−3.00000 | −0.00492337 | −0.00246169 | − | 0.999997i | ||||||
−0.00246169 | + | 0.999997i | ||||||||
490.000 | − | 169.741i | 0.668153 | − | 0.231455i | |||||
−774.000 | −0.888204 | |||||||||
−128.000 | − | 221.703i | −0.125000 | − | 0.216506i | |||||
952.000 | − | 1648.91i | 0.798941 | − | 1.38381i | −0.121366 | − | 0.992608i | ||
0.920306 | − | 0.391198i | ||||||||
162.000 | − | 280.592i | 0.117851 | − | 0.204124i | |||||
744.500 | + | 1289.51i | 0.473130 | + | 0.819486i | 0.999527 | − | 0.0307534i | ||
−0.526397 | + | 0.850239i | ||||||||
1376.00 | 0.769207 | |||||||||
−882.000 | − | 763.834i | −0.436436 | − | 0.377964i | |||||
−136.000 | −0.0599076 | |||||||||
112.000 | + | 193.990i | 0.0441467 | + | 0.0764644i | 0.887254 | − | 0.461280i | ||
−0.843108 | + | 0.537745i | ||||||||
−288.000 | + | 498.831i | −0.102062 | + | 0.176777i | |||||
−2135.50 | + | 3698.79i | −0.683360 | + | 1.18361i | |||||
−6.00000 | − | 10.3923i | −0.00174068 | − | 0.00301494i | |||||
−729.000 | −0.192450 | |||||||||
1568.00 | + | 1357.93i | 0.377964 | + | 0.327327i | |||||
−6508.00 | −1.43699 | −0.718493 | − | 0.695534i | ||||||
−0.718493 | + | 0.695534i | ||||||||
−1548.00 | − | 2681.21i | −0.314028 | − | 0.543912i | |||||
−865.500 | + | 1499.09i | −0.161757 | + | 0.280171i | −0.935499 | − | 0.353330i | ||
0.773742 | + | 0.633501i | ||||||||
512.000 | − | 886.810i | 0.0883883 | − | 0.153093i | |||||
153.000 | + | 265.004i | 0.0244572 | + | 0.0423611i | |||||
7616.00 | 1.12987 | |||||||||
−10535.0 | + | 3649.43i | −1.45367 | + | 0.503564i | |||||
1296.00 | 0.166667 | |||||||||
3816.50 | + | 6610.37i | 0.458312 | + | 0.793819i | 0.998872 | − | 0.0474862i | ||
−0.540560 | + | 0.841305i | ||||||||
−2978.00 | + | 5158.05i | −0.334554 | + | 0.579464i | |||||
−13.5000 | + | 23.3827i | −0.00142126 | + | 0.00246169i | |||||
2752.00 | + | 4766.60i | 0.271956 | + | 0.471041i | |||||
15414.0 | 1.43204 | 0.716021 | − | 0.698079i | ||||||
0.716021 | + | 0.698079i | ||||||||
882.000 | − | 4583.01i | 0.0771517 | − | 0.400892i | |||||
18491.0 | 1.52507 | 0.762534 | − | 0.646948i | ||||||
0.762534 | + | 0.646948i | ||||||||
−272.000 | − | 471.118i | −0.0211805 | − | 0.0366858i | |||||
−3483.00 | + | 6032.73i | −0.256402 | + | 0.444102i | |||||
−448.000 | + | 775.959i | −0.0312164 | + | 0.0540685i | |||||
−9231.00 | − | 15988.6i | −0.609543 | − | 1.05576i | −0.991316 | − | 0.131503i | ||
0.381773 | − | 0.924256i | ||||||||
−2304.00 | −0.144338 | |||||||||
−15606.5 | − | 6237.98i | −0.928571 | − | 0.371154i | |||||
−17084.0 | −0.966417 | |||||||||
−8568.00 | − | 14840.2i | −0.461269 | − | 0.798941i | |||||
24.0000 | − | 41.5692i | 0.00123084 | − | 0.00213188i | |||||
9978.00 | − | 17282.4i | 0.487926 | − | 0.845112i | −0.511978 | − | 0.858999i | ||
0.999904 | + | 0.0138864i | ||||||||
−1458.00 | − | 2525.33i | −0.0680414 | − | 0.117851i | |||||
2924.00 | 0.130338 | |||||||||
−1568.00 | + | 8147.57i | −0.0668153 | + | 0.347183i | |||||
13401.0 | 0.546324 | |||||||||
−13016.0 | − | 22544.4i | −0.508051 | − | 0.879971i | |||||
15914.0 | − | 27563.9i | 0.595181 | − | 1.03088i | −0.398340 | − | 0.917238i | ||
0.993521 | − | 0.113646i | ||||||||
6192.00 | − | 10724.9i | 0.222051 | − | 0.384604i | |||||
28827.0 | + | 49929.8i | 0.991916 | + | 1.71805i | 0.605854 | + | 0.795576i | ||
0.386062 | + | 0.922473i | ||||||||
−6924.00 | −0.228759 | |||||||||
−9922.50 | + | 3437.25i | −0.314970 | + | 0.109109i | |||||
4096.00 | 0.125000 | |||||||||
129.000 | + | 223.435i | 0.00378710 | + | 0.00655944i | |||||
−612.000 | + | 1060.02i | −0.0172938 | + | 0.0299538i | |||||
30281.5 | − | 52449.1i | 0.824120 | − | 1.42742i | −0.0784702 | − | 0.996916i | ||
0.902590 | − | 0.430501i | ||||||||
15232.0 | + | 26382.6i | 0.399470 | + | 0.691903i | |||||
2016.00 | 0.0509762 | |||||||||
−33712.0 | − | 29195.4i | −0.822317 | − | 0.712148i | |||||
−44834.0 | −1.05551 | −0.527754 | − | 0.849397i | ||||||
−0.527754 | + | 0.849397i | ||||||||
2592.00 | + | 4489.48i | 0.0589256 | + | 0.102062i | |||||
−10410.5 | + | 18031.5i | −0.228646 | + | 0.396027i | −0.957407 | − | 0.288741i | ||
0.728761 | + | 0.684768i | ||||||||
−15266.0 | + | 26441.5i | −0.324075 | + | 0.561315i | |||||
19219.5 | + | 33289.2i | 0.394538 | + | 0.683360i | |||||
−23824.0 | −0.473130 | |||||||||
3332.00 | + | 2885.60i | 0.0640440 | + | 0.0554637i | |||||
−108.000 | −0.00200996 | |||||||||
15265.5 | + | 26440.6i | 0.275197 | + | 0.476655i | 0.970185 | − | 0.242367i | ||
−0.694988 | + | 0.719021i | ||||||||
−11008.0 | + | 19066.4i | −0.192302 | + | 0.333077i | |||||
−3280.50 | + | 5681.99i | −0.0555556 | + | 0.0962250i | |||||
30828.0 | + | 53395.7i | 0.506303 | + | 0.876943i | |||||
110602. | 1.76225 | 0.881125 | − | 0.472883i | ||||||
0.881125 | + | 0.472883i | ||||||||
17640.0 | − | 6110.68i | 0.272772 | − | 0.0944911i | |||||
−163744. | −2.45820 | |||||||||
36982.0 | + | 64054.7i | 0.539193 | + | 0.933910i | |||||
−29286.0 | + | 50724.8i | −0.414822 | + | 0.718493i | |||||
1088.00 | − | 1884.47i | 0.0149769 | − | 0.0259408i | |||||
29496.0 | + | 51088.6i | 0.394719 | + | 0.683673i | 0.993065 | − | 0.117564i | ||
−0.598346 | + | 0.801238i | ||||||||
−27864.0 | −0.362608 | |||||||||
−73.5000 | + | 381.917i | −0.000930430 | + | 0.00483466i | |||||
−3584.00 | −0.0441467 | |||||||||
7789.50 | + | 13491.8i | 0.0933904 | + | 0.161757i | |||||
36924.0 | − | 63954.2i | 0.431012 | − | 0.746534i | |||||
64027.0 | − | 110898.i | 0.727871 | − | 1.26071i | |||||
−4608.00 | − | 7981.29i | −0.0510310 | − | 0.0883883i | |||||
−119846. | −1.29328 | −0.646642 | − | 0.762793i | ||||||
−0.646642 | + | 0.762793i | ||||||||
−9604.00 | − | 66538.5i | −0.101015 | − | 0.699854i | |||||
2754.00 | 0.0282407 | |||||||||
−34168.0 | − | 59180.7i | −0.341680 | − | 0.591807i | |||||
−50005.0 | + | 86611.2i | −0.487764 | + | 0.844833i | −0.999901 | − | 0.0140714i | ||
0.512137 | + | 0.858904i | ||||||||
34272.0 | − | 59360.8i | 0.326166 | − | 0.564937i | |||||
−60845.5 | − | 105387.i | −0.565113 | − | 0.978805i | −0.997039 | − | 0.0768956i | ||
0.431926 | − | 0.901909i | ||||||||
192.000 | 0.00174068 | |||||||||
−18963.0 | + | 98534.6i | −0.167855 | + | 0.872199i | |||||
79824.0 | 0.690031 | |||||||||
24324.0 | + | 42130.4i | 0.205388 | + | 0.355743i | 0.950256 | − | 0.311469i | ||
−0.744868 | + | 0.667212i | ||||||||
5832.00 | − | 10101.3i | 0.0481125 | − | 0.0833333i | |||||
76037.5 | − | 131701.i | 0.613002 | − | 1.06175i | −0.377730 | − | 0.925916i | ||
0.990732 | − | 0.135834i | ||||||||
5848.00 | + | 10129.0i | 0.0460814 | + | 0.0798153i | |||||
68697.0 | 0.529213 | |||||||||
−31360.0 | + | 10863.4i | −0.236228 | + | 0.0818317i | |||||
−60886.0 | −0.448561 | −0.224280 | − | 0.974525i | ||||||
−0.224280 | + | 0.974525i | ||||||||
26802.0 | + | 46422.4i | 0.193155 | + | 0.334554i | |||||
9632.00 | − | 16683.1i | 0.0679160 | − | 0.117634i | |||||
52064.0 | − | 90177.5i | 0.359247 | − | 0.622233i | |||||
121.500 | + | 210.444i | 0.000820562 | + | 0.00142126i | |||||
127312. | 0.841714 | |||||||||
−186592. | − | 161593.i | −1.20789 | − | 1.04606i | |||||
49536.0 | 0.314028 | |||||||||
79947.5 | + | 138473.i | 0.496411 | + | 0.859809i | |||||
−115308. | + | 199719.i | −0.701390 | + | 1.21484i | |||||
69363.0 | − | 120140.i | 0.413395 | − | 0.716021i | |||||
−13848.0 | − | 23985.4i | −0.0808785 | − | 0.140086i | |||||
98556.0 | 0.564167 | |||||||||
−31752.0 | − | 27498.0i | −0.178174 | − | 0.154303i | |||||
−151965. | −0.836054 | −0.418027 | − | 0.908435i | ||||||
−0.418027 | + | 0.908435i | ||||||||
8192.00 | + | 14189.0i | 0.0441942 | + | 0.0765466i | |||||
83209.5 | − | 144123.i | 0.440249 | − | 0.762534i | |||||
−516.000 | + | 893.738i | −0.00267788 | + | 0.00463823i | |||||
−117751. | − | 203951.i | −0.599496 | − | 1.03836i | −0.992895 | − | 0.118990i | ||
0.393399 | − | 0.919368i | ||||||||
−4896.00 | −0.0244572 | |||||||||
182402. | − | 63186.1i | 0.894132 | − | 0.309736i | |||||
242252. | 1.16548 | |||||||||
31347.0 | + | 54294.6i | 0.148034 | + | 0.256402i | |||||
−60928.0 | + | 105530.i | −0.282468 | + | 0.489249i | |||||
−162754. | + | 281898.i | −0.740850 | + | 1.28319i | 0.211259 | + | 0.977430i | ||
−0.952109 | + | 0.305760i | ||||||||
4032.00 | + | 6983.63i | 0.0180228 | + | 0.0312164i | |||||
3211.00 | 0.0140962 | 0.00704812 | − | 0.999975i | ||||||
0.00704812 | + | 0.999975i | ||||||||
33712.0 | − | 175173.i | 0.145367 | − | 0.755347i | |||||
−166158. | −0.703839 | |||||||||
−89668.0 | − | 155310.i | −0.373179 | − | 0.646364i | |||||
51.0000 | − | 88.3346i | 0.000208560 | − | 0.000361236i | |||||
−10368.0 | + | 17957.9i | −0.0416667 | + | 0.0721688i | |||||
279844. | + | 484704.i | 1.10534 | + | 1.91451i | |||||
−83284.0 | −0.323355 | |||||||||
−118850. | + | 93569.7i | −0.453632 | + | 0.357143i | |||||
−122128. | −0.458312 | |||||||||
75942.0 | + | 131535.i | 0.280231 | + | 0.485375i | 0.971442 | − | 0.237279i | ||
−0.691210 | + | 0.722654i | ||||||||
−76878.0 | + | 133157.i | −0.278981 | + | 0.483208i | |||||
−38324.0 | + | 66379.1i | −0.136782 | + | 0.236913i | −0.926277 | − | 0.376844i | ||
0.789495 | + | 0.613757i | ||||||||
−47648.0 | − | 82528.8i | −0.167277 | − | 0.289732i | |||||
−154224. | −0.532627 | |||||||||
−3332.00 | + | 17313.6i | −0.0113215 | + | 0.0588281i | |||||
148866. | 0.497698 | |||||||||
−216.000 | − | 374.123i | −0.000710628 | − | 0.00123084i | |||||
194855. | − | 337499.i | 0.630903 | − | 1.09276i | −0.356465 | − | 0.934309i | ||
0.987368 | − | 0.158447i | ||||||||
−61062.0 | + | 105762.i | −0.194593 | + | 0.337046i | |||||
−89802.0 | − | 155542.i | −0.281704 | − | 0.487926i | |||||
−88064.0 | −0.271956 | |||||||||
27440.0 | − | 9505.49i | 0.0834295 | − | 0.0289008i | |||||
−26244.0 | −0.0785674 | |||||||||
56186.0 | + | 97317.0i | 0.165638 | + | 0.286893i | 0.936882 | − | 0.349647i | ||
−0.771244 | + | 0.636540i | ||||||||
−123312. | + | 213583.i | −0.358010 | + | 0.620092i | |||||
13158.0 | − | 22790.3i | 0.0376253 | − | 0.0651689i | |||||
221204. | + | 383137.i | 0.623050 | + | 1.07915i | |||||
52550.0 | 0.145808 | 0.0729040 | − | 0.997339i | ||||||
0.0729040 | + | 0.997339i | ||||||||
56448.0 | + | 48885.4i | 0.154303 | + | 0.133631i | |||||
−371284. | −0.999976 | |||||||||
−327488. | − | 567226.i | −0.869107 | − | 1.50534i | |||||
60304.5 | − | 104450.i | 0.157710 | − | 0.273162i | |||||
−147928. | + | 256219.i | −0.381267 | + | 0.660374i | |||||
67628.0 | + | 117135.i | 0.171795 | + | 0.297558i | 0.939048 | − | 0.343787i | ||
−0.767252 | + | 0.641345i | ||||||||
−234288. | −0.586647 | |||||||||
418558. | + | 362482.i | 1.03314 | + | 0.894728i | |||||
8704.00 | 0.0211805 | |||||||||
−143226. | − | 248075.i | −0.343628 | − | 0.595181i | |||||
−117984. | + | 204354.i | −0.279109 | + | 0.483430i | |||||
−125319. | + | 217059.i | −0.292337 | + | 0.506343i | −0.974362 | − | 0.224986i | ||
0.682025 | + | 0.731329i | ||||||||
−55728.0 | − | 96523.7i | −0.128201 | − | 0.222051i | |||||
199233. | 0.452027 | 0.226014 | − | 0.974124i | ||||||
0.226014 | + | 0.974124i | ||||||||
−1470.00 | + | 509.223i | −0.00328957 | + | 0.00113954i | |||||
518886. | 1.14537 | |||||||||
−7168.00 | − | 12415.3i | −0.0156082 | − | 0.0270342i | |||||
328219. | − | 568492.i | 0.705074 | − | 1.22122i | |||||
−31158.0 | + | 53967.2i | −0.0660370 | + | 0.114379i | |||||
32368.0 | + | 56063.0i | 0.0676880 | + | 0.117239i | |||||
295392. | 0.609543 | |||||||||
−17860.5 | + | 92805.9i | −0.0363696 | + | 0.188982i | |||||
512216. | 1.02936 | |||||||||
119385. | + | 206781.i | 0.236792 | + | 0.410135i | 0.959792 | − | 0.280713i | ||
−0.723000 | + | 0.690848i | ||||||||
18432.0 | − | 31925.2i | 0.0360844 | − | 0.0625000i | |||||
−42845.5 | + | 74210.6i | −0.0827965 | + | 0.143408i | −0.904450 | − | 0.426579i | ||
0.821654 | + | 0.569987i | ||||||||
−239692. | − | 415159.i | −0.457245 | − | 0.791972i | |||||
2322.00 | 0.00437296 | |||||||||
211288. | − | 166346.i | 0.392857 | − | 0.309295i | |||||
−71408.0 | −0.131094 | −0.0655468 | − | 0.997849i | ||||||
−0.0655468 | + | 0.997849i | ||||||||
5508.00 | + | 9540.14i | 0.00998461 | + | 0.0172938i | |||||
355676. | − | 616049.i | 0.636681 | − | 1.10276i | −0.349475 | − | 0.936946i | ||
0.986156 | − | 0.165818i | ||||||||
136672. | − | 236723.i | 0.241604 | − | 0.418471i | |||||
−272534. | − | 472042.i | −0.475806 | − | 0.824120i | |||||
−400040. | −0.689803 | |||||||||
−159446. | + | 828506.i | −0.271565 | + | 1.41109i | |||||
274176. | 0.461269 | |||||||||
−662802. | − | 1.14801e6i | −1.10154 | − | 1.90792i | |||||
243382. | − | 421550.i | 0.399595 | − | 0.692119i | |||||
9072.00 | − | 15713.2i | 0.0147156 | − | 0.0254881i | |||||
384.000 | + | 665.108i | 0.000615422 | + | 0.00106594i | |||||
−50626.0 | −0.0801693 | |||||||||
−379260. | + | 131380.i | −0.593456 | + | 0.205579i | |||||
−260260. | −0.402440 | −0.201220 | − | 0.979546i | ||||||
−0.201220 | + | 0.979546i | ||||||||
159648. | + | 276518.i | 0.243963 | + | 0.422556i | |||||
−201753. | + | 349446.i | −0.304699 | + | 0.527754i | |||||
−97296.0 | + | 168522.i | −0.145231 | + | 0.251548i | |||||
−795113. | − | 1.37718e6i | −1.17309 | − | 2.03186i | |||||
46656.0 | 0.0680414 | |||||||||
169638. | + | 146911.i | 0.244553 | + | 0.211790i | |||||
608300. | 0.866915 | |||||||||
93694.5 | + | 162284.i | 0.132009 | + | 0.228646i | |||||
−23392.0 | + | 40516.1i | −0.0325845 | + | 0.0564380i | |||||
−2856.00 | + | 4946.74i | −0.00393349 | + | 0.00681300i | |||||
137394. | + | 237973.i | 0.187105 | + | 0.324075i | |||||
105656. | 0.142276 | 0.0711381 | − | 0.997466i | ||||||
0.0711381 | + | 0.997466i | ||||||||
−100352. | − | 86907.4i | −0.133631 | − | 0.115728i | |||||
345951. | 0.455573 | |||||||||
−121772. | − | 210915.i | −0.158590 | − | 0.274686i | |||||
−327375. | + | 567030.i | −0.421678 | + | 0.730368i | −0.996104 | − | 0.0881890i | ||
0.574426 | + | 0.818557i | ||||||||
−107208. | + | 185690.i | −0.136581 | + | 0.236565i | |||||
−278856. | − | 482994.i | −0.351392 | − | 0.608629i | 0.635101 | − | 0.772429i | ||
−0.986494 | + | 0.163800i | ||||||||
77056.0 | 0.0960477 | |||||||||
37485.0 | − | 12985.2i | 0.0462197 | − | 0.0160110i | |||||
416512. | 0.508051 | |||||||||
623797. | + | 1.08045e6i | 0.752755 | + | 1.30381i | 0.946483 | + | 0.322754i | ||
−0.193728 | + | 0.981055i | ||||||||
−486.000 | + | 841.777i | −0.000580225 | + | 0.00100498i | |||||
−793866. | + | 1.37502e6i | −0.937729 | + | 1.62420i | |||||
254624. | + | 441022.i | 0.297591 | + | 0.515442i | |||||
274779. | 0.317770 | |||||||||
186592. | − | 969560.i | 0.213526 | − | 1.10951i | |||||
−496926. | −0.562726 | −0.281363 | − | 0.959601i | ||||||
−0.281363 | + | 0.959601i | ||||||||
99072.0 | + | 171598.i | 0.111026 | + | 0.192302i | |||||
138809. | − | 240424.i | 0.153948 | − | 0.266646i | −0.778727 | − | 0.627363i | ||
0.932676 | + | 0.360716i | ||||||||
−319790. | + | 553893.i | −0.351016 | + | 0.607977i | |||||
29524.5 | + | 51137.9i | 0.0320750 | + | 0.0555556i | |||||
−922464. | −0.991916 | |||||||||
206486. | + | 1.43058e6i | 0.219774 | + | 1.52264i | |||||
554904. | 0.584629 | |||||||||
−2233.50 | − | 3868.54i | −0.00232940 | − | 0.00403463i | |||||
55392.0 | − | 95941.8i | 0.0571897 | − | 0.0990555i | |||||
497709. | − | 862057.i | 0.508718 | − | 0.881125i | |||||
197112. | + | 341408.i | 0.199463 | + | 0.345481i | |||||
−308328. | −0.308908 | −0.154454 | − | 0.988000i | ||||||
−0.154454 | + | 0.988000i | ||||||||
31752.0 | − | 164988.i | 0.0314970 | − | 0.163663i | |||||
−7616.00 | −0.00748041 | |||||||||
−303930. | − | 526422.i | −0.295590 | − | 0.511976i | |||||
−736848. | + | 1.27626e6i | −0.709623 | + | 1.22910i | |||||
−32768.0 | + | 56755.8i | −0.0312500 | + | 0.0541266i | |||||
−204381. | − | 353998.i | −0.193022 | − | 0.334325i | 0.753228 | − | 0.657759i | ||
−0.946250 | + | 0.323435i | ||||||||
665676. | 0.622606 | |||||||||
935042. | − | 323908.i | 0.866128 | − | 0.300035i | |||||
−4128.00 | −0.00378710 | |||||||||
263574. | + | 456524.i | 0.239498 | + | 0.414822i | |||||
471004. | − | 815803.i | 0.423908 | − | 0.734230i | |||||
−544062. | + | 942343.i | −0.485019 | + | 0.840078i | −0.999852 | − | 0.0172127i | ||
0.514833 | + | 0.857291i | ||||||||
−9792.00 | − | 16960.2i | −0.00864692 | − | 0.0149769i | |||||
−1.71622e6 | −1.50126 | |||||||||
583688. | + | 505489.i | 0.505797 | + | 0.438033i | |||||
530928. | 0.455782 | |||||||||
484504. | + | 839186.i | 0.412060 | + | 0.713709i | |||||
334145. | − | 578756.i | 0.281549 | − | 0.487657i | −0.690217 | − | 0.723602i | ||
0.971766 | + | 0.235945i | ||||||||
−125388. | + | 217178.i | −0.104676 | + | 0.181304i | |||||
415332. | + | 719376.i | 0.343536 | + | 0.595022i | 0.985087 | − | 0.172059i | ||
−0.641551 | + | 0.767081i | ||||||||
−487424. | −0.399470 | |||||||||
2646.00 | + | 2291.50i | 0.00214874 | + | 0.00186086i | |||||
−1.30203e6 | −1.04772 | |||||||||
−72607.0 | − | 125759.i | −0.0578958 | − | 0.100278i | |||||
−16128.0 | + | 27934.5i | −0.0127441 | + | 0.0220734i | |||||
−462537. | + | 801137.i | −0.362198 | + | 0.627346i | −0.988322 | − | 0.152377i | ||
0.626124 | + | 0.779724i | ||||||||
6422.00 | + | 11123.2i | 0.00498377 | + | 0.00863215i | |||||
140211. | 0.107838 | |||||||||
674240. | − | 233564.i | 0.513948 | − | 0.178037i | |||||
1.33635e6 | 1.00961 | 0.504805 | − | 0.863233i | ||||||
0.504805 | + | 0.863233i | ||||||||
−332316. | − | 575588.i | −0.248845 | − | 0.431012i | |||||
496478. | − | 859926.i | 0.368497 | − | 0.638256i | −0.620833 | − | 0.783942i | ||
0.989331 | + | 0.145686i | ||||||||
358672. | − | 621238.i | 0.263877 | − | 0.457048i | |||||
−576243. | − | 998082.i | −0.420236 | − | 0.727871i | |||||
408.000 | 0.000294948 | |||||||||
377643. | − | 1.96229e6i | 0.270630 | − | 1.40624i | |||||
−82944.0 | −0.0589256 | |||||||||
−1.10268e6 | − | 1.90990e6i | −0.776613 | − | 1.34513i | |||||
−1.11938e6 | + | 1.93882e6i | −0.781594 | + | 1.35376i | |||||
−539307. | + | 934107.i | −0.373339 | + | 0.646642i | |||||
−166568. | − | 288504.i | −0.114323 | − | 0.198014i | |||||
563544. | 0.383494 | 0.191747 | − | 0.981444i | ||||||
0.191747 | + | 0.981444i | ||||||||
−561834. | − | 224567.i | −0.379088 | − | 0.151523i | |||||
−2.73721e6 | −1.83127 | |||||||||
−244256. | − | 423064.i | −0.162038 | − | 0.280657i | |||||
12393.0 | − | 21465.3i | 0.00815240 | − | 0.0141204i | |||||
−303768. | + | 526142.i | −0.198153 | + | 0.343212i | |||||
−336.000 | − | 581.969i | −0.000217351 | − | 0.000376463i | |||||
−615024. | −0.394538 | |||||||||
453029. | − | 2.35401e6i | 0.288211 | − | 1.49759i | |||||
−306592. | −0.193439 | |||||||||
450045. | + | 779501.i | 0.281611 | + | 0.487764i | |||||
190592. | − | 330115.i | 0.118283 | − | 0.204871i | |||||
2.47912e6 | − | 4.29397e6i | 1.52598 | − | 2.64307i | |||||
−308448. | − | 534248.i | −0.188312 | − | 0.326166i | |||||
2.82703e6 | 1.71193 | 0.855963 | − | 0.517037i | ||||||
0.855963 | + | 0.517037i | ||||||||
−66640.0 | + | 23084.8i | −0.0400275 | + | 0.0138659i | |||||
−1.09522e6 | −0.652536 | |||||||||
297732. | + | 515687.i | 0.175963 | + | 0.304777i | |||||
563657. | − | 976283.i | 0.330456 | − | 0.572367i | −0.652145 | − | 0.758094i | ||
0.982601 | + | 0.185727i | ||||||||
864.000 | − | 1496.49i | 0.000502490 | − | 0.000870338i | |||||
1.18006e6 | + | 2.04393e6i | 0.680840 | + | 1.17925i | 0.974725 | + | 0.223408i | ||
−0.293885 | + | 0.955841i | ||||||||
1.55884e6 | 0.892231 | |||||||||
682668. | + | 591208.i | 0.387644 | + | 0.335710i | |||||
−488496. | −0.275197 | |||||||||
1.11210e6 | + | 1.92621e6i | 0.621578 | + | 1.07660i | 0.989192 | + | 0.146626i | ||
−0.367614 | + | 0.929979i | ||||||||
359208. | − | 622167.i | 0.199195 | − | 0.345016i | |||||
110636. | − | 191627.i | 0.0608723 | − | 0.105434i | |||||
−176128. | − | 305063.i | −0.0961509 | − | 0.166538i | |||||
437832. | 0.237162 | |||||||||
87808.0 | + | 76044.0i | 0.0471948 | + | 0.0408719i | |||||
2.83506e6 | 1.51201 | |||||||||
−52488.0 | − | 90911.9i | −0.0277778 | − | 0.0481125i | |||||
6406.50 | − | 11096.4i | 0.00336444 | − | 0.00582738i | |||||
−224744. | + | 389268.i | −0.117124 | + | 0.202864i | |||||
−684338. | − | 1.18531e6i | −0.353917 | − | 0.613002i | |||||
−986496. | −0.506303 | |||||||||
−2.26160e6 | + | 783439.i | −1.15193 | + | 0.399039i | |||||
105264. | 0.0532102 | |||||||||
1.85152e6 | + | 3.20693e6i | 0.928877 | + | 1.60886i | 0.785204 | + | 0.619237i | ||
0.143673 | + | 0.989625i | ||||||||
−884816. | + | 1.53255e6i | −0.440563 | + | 0.763077i | |||||
309136. | − | 535440.i | 0.152771 | − | 0.264606i | |||||
105100. | + | 182039.i | 0.0515509 | + | 0.0892888i | |||||
−5.20842e6 | −2.53568 | |||||||||
−56448.0 | + | 293312.i | −0.0272772 | + | 0.141737i | |||||
1.21432e6 | 0.582452 | 0.291226 | − | 0.956654i | ||||||
0.291226 | + | 0.956654i | ||||||||
−742568. | − | 1.28617e6i | −0.353545 | − | 0.612358i | |||||
−273987. | + | 474559.i | −0.129488 | + | 0.224280i | |||||
1.30995e6 | − | 2.26890e6i | 0.614551 | − | 1.06443i | |||||
−29427.0 | − | 50969.1i | −0.0137044 | − | 0.0237367i | |||||
482436. | 0.223036 | |||||||||
−1.17649e6 | + | 1.83397e6i | −0.539949 | + | 0.841698i | |||||
−1.18342e6 | −0.539193 | |||||||||
−86688.0 | − | 150148.i | −0.0392113 | − | 0.0679160i | |||||
−270512. | + | 468541.i | −0.121478 | + | 0.210405i | |||||
488952. | − | 846890.i | 0.217993 | − | 0.377575i | −0.736201 | − | 0.676763i | ||
0.954194 | + | 0.299188i | ||||||||
−468576. | − | 811597.i | −0.207411 | − | 0.359247i | |||||
511282. | 0.224697 | 0.112348 | − | 0.993669i | ||||||
0.112348 | + | 0.993669i | ||||||||
−418558. | + | 2.17489e6i | −0.182636 | + | 0.949003i | |||||
2187.00 | 0.000947504 | |||||||||
17408.0 | + | 30151.5i | 0.00748845 | + | 0.0129704i | |||||
−1.51376e6 | + | 2.62191e6i | −0.646577 | + | 1.11990i | 0.337357 | + | 0.941377i | ||
−0.983935 | + | 0.178528i | ||||||||
572904. | − | 992299.i | 0.242982 | − | 0.420857i | |||||
1.92786e6 | + | 3.33915e6i | 0.811905 | + | 1.40626i | |||||
−943872. | −0.394719 | |||||||||
−2.09916e6 | + | 727170.i | −0.871716 | + | 0.301971i | |||||
−1.00255e6 | −0.413427 | |||||||||
−2.29728e6 | − | 3.97900e6i | −0.940757 | − | 1.62944i | −0.764032 | − | 0.645179i | ||
−0.176725 | − | 0.984260i | ||||||||
222912. | − | 386095.i | 0.0906520 | − | 0.157014i | |||||
129489. | − | 224282.i | 0.0522956 | − | 0.0905786i | |||||
398466. | + | 690163.i | 0.159816 | + | 0.276809i | |||||
1.43906e6 | 0.573206 | |||||||||
−4704.00 | − | 4073.78i | −0.00186086 | − | 0.00161155i | |||||
1.79061e6 | 0.703506 | |||||||||
1.03777e6 | + | 1.79747e6i | 0.404948 | + | 0.701390i | |||||
556365. | − | 963653.i | 0.215623 | − | 0.373470i | −0.737842 | − | 0.674973i | ||
0.953465 | + | 0.301503i | ||||||||
28672.0 | − | 49661.4i | 0.0110367 | − | 0.0191161i | |||||
−624267. | − | 1.08126e6i | −0.238674 | − | 0.413395i | |||||
2.62575e6 | 0.997125 | |||||||||
−1.95569e6 | − | 1.69368e6i | −0.737675 | − | 0.638845i | |||||
−249264. | −0.0933904 | |||||||||
1.22947e6 | + | 2.12951e6i | 0.457559 | + | 0.792516i | 0.998831 | − | 0.0483315i | ||
−0.541272 | + | 0.840848i | ||||||||
−129472. | + | 224252.i | −0.0478627 | + | 0.0829006i | |||||
443502. | − | 768168.i | 0.162861 | − | 0.282084i | |||||
590784. | + | 1.02327e6i | 0.215506 | + | 0.373267i | |||||
19524.0 | 0.00707482 | |||||||||
−357210. | + | 123741.i | −0.128586 | + | 0.0445435i | |||||
−4.10130e6 | −1.46664 | −0.733320 | − | 0.679884i | ||||||
−0.733320 | + | 0.679884i | ||||||||
1.02443e6 | + | 1.77437e6i | 0.363935 | + | 0.630354i | |||||
−683842. | + | 1.18445e6i | −0.241348 | + | 0.418027i | |||||
−477540. | + | 827124.i | −0.167437 | + | 0.290009i | |||||
1.29707e6 | + | 2.24658e6i | 0.451820 | + | 0.782575i | 0.998499 | − | 0.0547673i | ||
−0.546679 | + | 0.837342i | ||||||||
147456. | 0.0510310 | |||||||||
71638.0 | − | 372242.i | 0.0246315 | − | 0.127989i | |||||
−342764. | −0.117092 | |||||||||
−748886. | − | 1.29711e6i | −0.254178 | − | 0.440249i | |||||
958768. | − | 1.66063e6i | 0.323321 | − | 0.560009i | |||||
−1.11703e6 | + | 1.93476e6i | −0.374276 | + | 0.648265i | −0.990218 | − | 0.139526i | ||
0.615942 | + | 0.787791i | ||||||||
4644.00 | + | 8043.64i | 0.00154608 | + | 0.00267788i | |||||
426496. | 0.141082 | |||||||||
998816. | + | 399231.i | 0.328300 | + | 0.131223i | |||||
−2.11952e6 | −0.692238 | |||||||||
−142816. | − | 247365.i | −0.0463486 | − | 0.0802781i | |||||
1.31283e6 | − | 2.27389e6i | 0.423367 | − | 0.733293i | |||||
−22032.0 | + | 38160.5i | −0.00706018 | + | 0.0122286i | |||||
1.03200e6 | + | 1.78747e6i | 0.328627 | + | 0.569198i | 0.982240 | − | 0.187631i | ||
−0.653613 | + | 0.756829i | ||||||||
2.84541e6 | 0.900403 | |||||||||
328324. | − | 1.70602e6i | 0.103245 | − | 0.536479i | |||||
1.09338e6 | 0.341680 | |||||||||
−576414. | − | 998378.i | −0.179008 | − | 0.310052i | 0.762533 | − | 0.646950i | ||
−0.941541 | + | 0.336898i | ||||||||
1.09013e6 | − | 1.88817e6i | 0.336446 | − | 0.582741i | |||||
2596.50 | − | 4497.27i | 0.000796390 | − | 0.00137939i | |||||
−800080. | − | 1.38578e6i | −0.243882 | − | 0.422416i | |||||
564246. | 0.170935 | |||||||||
−3.18892e6 | + | 1.10467e6i | −0.960127 | + | 0.332598i | |||||
−259522. | −0.0776583 | |||||||||
548352. | + | 949774.i | 0.163083 | + | 0.282468i | |||||
−2.96706e6 | + | 5.13910e6i | −0.877038 | + | 1.51907i | −0.0224623 | + | 0.999748i | ||
−0.854576 | + | 0.519327i | ||||||||
2.65121e6 | − | 4.59203e6i | 0.778904 | − | 1.34910i | |||||
1.46479e6 | + | 2.53708e6i | 0.427730 | + | 0.740850i | |||||
1.94706e6 | 0.565113 | |||||||||
−3.11914e6 | − | 2.70126e6i | −0.899830 | − | 0.779275i | |||||
72576.0 | 0.0208110 | |||||||||
−4.75589e6 | − | 8.23744e6i | −1.35554 | − | 2.34786i | |||||
−1536.00 | + | 2660.43i | −0.000435169 | + | 0.000753735i | |||||
14449.5 | − | 25027.3i | 0.00406923 | − | 0.00704812i | |||||
−101252. | − | 175374.i | −0.0283441 | − | 0.0490934i | |||||
771666. | 0.214731 | 0.107365 | − | 0.994220i | ||||||
0.107365 | + | 0.994220i | ||||||||
−1.21363e6 | − | 1.05104e6i | −0.335710 | − | 0.290733i | |||||
−2.87542e6 | −0.790671 | −0.395336 | − | 0.918537i | ||||||
−0.395336 | + | 0.918537i | ||||||||
−520520. | − | 901567.i | −0.142284 | − | 0.246443i | |||||
−747711. | + | 1.29507e6i | −0.203181 | + | 0.351920i | |||||
−638592. | + | 1.10607e6i | −0.172508 | + | 0.298792i | |||||
4.06599e6 | + | 7.04250e6i | 1.09193 | + | 1.89128i | |||||
−1.61402e6 | −0.430909 | |||||||||
7.06261e6 | − | 2.44656e6i | 1.87454 | − | 0.649361i | |||||
−778368. | −0.205388 | |||||||||
−459.000 | − | 795.011i | −0.000120412 | − | 0.000208560i | |||||
3.18045e6 | − | 5.50870e6i | 0.829503 | − | 1.43674i | |||||
68931.0 | − | 119392.i | 0.0178740 | − | 0.0309587i | −0.856950 | − | 0.515399i | ||
0.874824 | + | 0.484441i | ||||||||
93312.0 | + | 161621.i | 0.0240563 | + | 0.0416667i | |||||
1.56526e6 | 0.401204 | 0.200602 | − | 0.979673i | ||||||
0.200602 | + | 0.979673i | ||||||||
−169638. | + | 881465.i | −0.0432314 | + | 0.224637i | |||||
5.03719e6 | 1.27634 | |||||||||
1.21660e6 | + | 2.10721e6i | 0.306501 | + | 0.530875i | |||||
−166768. | + | 288851.i | −0.0417743 | + | 0.0723552i | |||||
−374778. | + | 649135.i | −0.0933445 | + | 0.161677i | |||||
−2.44079e6 | − | 4.22757e6i | −0.604462 | − | 1.04696i | −0.992136 | − | 0.125162i | ||
0.387675 | − | 0.921796i | ||||||||
−187136. | −0.0460814 | |||||||||
194481. | + | 1.34740e6i | 0.0476190 | + | 0.329914i | |||||
−22848.0 | −0.00556279 | |||||||||
650758. | + | 1.12715e6i | 0.157547 | + | 0.272879i | 0.933984 | − | 0.357316i | ||
−0.776437 | + | 0.630195i | ||||||||
−549576. | + | 951894.i | −0.132303 | + | 0.229156i | |||||
2.53666e6 | − | 4.39362e6i | 0.607242 | − | 1.05177i | |||||
211312. | + | 366003.i | 0.0503022 | + | 0.0871260i | |||||
1.36696e6 | 0.323583 | |||||||||
100352. | − | 521444.i | 0.0236228 | − | 0.122748i | |||||
−3.13141e6 | −0.733034 | −0.366517 | − | 0.930411i | ||||||
−0.366517 | + | 0.930411i | ||||||||
691902. | + | 1.19841e6i | 0.161069 | + | 0.278981i | |||||
−262038. | + | 453863.i | −0.0606629 | + | 0.105071i | |||||
487088. | − | 843661.i | 0.112140 | − | 0.194233i | |||||
344916. | + | 597412.i | 0.0789710 | + | 0.136782i | |||||
−2.61900e6 | −0.596343 | |||||||||
31605.0 | − | 10948.3i | 0.00715694 | − | 0.00247924i | |||||
−857664. | −0.193155 | |||||||||
−3.24634e6 | − | 5.62283e6i | −0.727116 | − | 1.25940i | −0.958097 | − | 0.286444i | ||
0.230981 | − | 0.972958i | ||||||||
1.11543e6 | − | 1.93197e6i | 0.248472 | − | 0.430366i | |||||
−694008. | + | 1.20206e6i | −0.153756 | + | 0.266314i | |||||
154112. | + | 266930.i | 0.0339580 | + | 0.0588170i | |||||
5.34717e6 | 1.17185 | 0.585925 | − | 0.810365i | ||||||
0.585925 | + | 0.810365i | ||||||||
119952. | + | 103881.i | 0.0261458 | + | 0.0226430i | |||||
3.37285e6 | 0.731215 | 0.365607 | − | 0.930769i | ||||||
0.365607 | + | 0.930769i | ||||||||
833024. | + | 1.44284e6i | 0.179623 | + | 0.311117i | |||||
669897. | − | 1.16030e6i | 0.143673 | − | 0.248849i | |||||
−2.49519e6 | + | 4.32179e6i | −0.532278 | + | 0.921932i | |||||
−1.11726e6 | − | 1.93515e6i | −0.237062 | − | 0.410604i | 0.722808 | − | 0.691049i | ||
−0.959870 | + | 0.280445i | ||||||||
−3888.00 | −0.000820562 | |||||||||
−5.93517e6 | − | 5.14001e6i | −1.24595 | − | 1.07903i | |||||
−6.35093e6 | −1.32615 | |||||||||
−1.75369e6 | − | 3.03749e6i | −0.364252 | − | 0.630903i | |||||
−1.01850e6 | + | 1.76409e6i | −0.210428 | + | 0.364473i | |||||
−314347. | + | 544465.i | −0.0646036 | + | 0.111897i | |||||
549558. | + | 951862.i | 0.112349 | + | 0.194593i | |||||
−6.35952e6 | −1.29327 | |||||||||
3.73184e6 | − | 1.29275e6i | 0.754928 | − | 0.261515i | |||||
−1.61644e6 | −0.325284 | |||||||||
−993852. | − | 1.72140e6i | −0.198954 | − | 0.344598i | |||||
1.26068e6 | − | 2.18357e6i | 0.251054 | − | 0.434838i | −0.712762 | − | 0.701406i | ||
0.963816 | + | 0.266568i | ||||||||
−396288. | + | 686391.i | −0.0785069 | + | 0.135978i | |||||
−11449.5 | − | 19831.1i | −0.00225644 | − | 0.00390827i | |||||
1.11047e6 | 0.217716 | |||||||||
49392.0 | − | 256648.i | 0.00963360 | − | 0.0500577i | |||||
−2.55832e6 | −0.496411 | |||||||||
5.15338e6 | + | 8.92591e6i | 0.994804 | + | 1.72305i | |||||
−118098. | + | 204552.i | −0.0226805 | + | 0.0392837i | |||||
−958358. | + | 1.65993e6i | −0.183107 | + | 0.317151i | −0.942937 | − | 0.332971i | ||
0.759830 | + | 0.650122i | ||||||||
−1.84493e6 | − | 3.19551e6i | −0.350695 | − | 0.607422i | |||||
1.01135e6 | 0.191262 | |||||||||
−4.54269e6 | + | 3.57644e6i | −0.854718 | + | 0.672916i | |||||
5.82875e6 | 1.09112 | 0.545559 | − | 0.838073i | ||||||
0.545559 | + | 0.838073i | ||||||||
1.10981e6 | + | 1.92224e6i | 0.206697 | + | 0.358010i | |||||
−6.19562e6 | + | 1.07311e7i | −1.14807 | + | 1.98851i | |||||
8934.00 | − | 15474.1i | 0.00164713 | − | 0.00285292i | |||||
−118422. | − | 205113.i | −0.0217230 | − | 0.0376253i | |||||
443136. | 0.0808785 | |||||||||
−1.09843e6 | + | 5.70763e6i | −0.199472 | + | 1.03649i | |||||
3.98167e6 | 0.719436 | |||||||||
5.00243e6 | + | 8.66446e6i | 0.899352 | + | 1.55772i | 0.828324 | + | 0.560249i | ||
0.0710277 | + | 0.997474i | ||||||||
−788448. | + | 1.36563e6i | −0.141042 | + | 0.244292i | |||||
236475. | − | 409587.i | 0.0420912 | − | 0.0729040i | |||||
−616656. | − | 1.06808e6i | −0.109215 | − | 0.189167i | |||||
1.13666e6 | 0.200313 | 0.100157 | − | 0.994972i | ||||||
0.100157 | + | 0.994972i | ||||||||
635040. | − | 219984.i | 0.111359 | − | 0.0385758i | |||||
8.60086e6 | 1.50077 | |||||||||
−15232.0 | − | 26382.6i | −0.00264473 | − | 0.00458080i | |||||
−1.67078e6 | + | 2.89387e6i | −0.288668 | + | 0.499988i | |||||
1.21572e6 | − | 2.10569e6i | 0.209013 | − | 0.362022i | |||||
−2.00968e6 | − | 3.48088e6i | −0.343822 | − | 0.595517i | 0.641317 | − | 0.767276i | ||
−0.985139 | + | 0.171759i | ||||||||
−5.89478e6 | −1.00356 | |||||||||
2.04046e6 | + | 1.76709e6i | 0.345681 | + | 0.299368i | |||||
−262144. | −0.0441942 | |||||||||
−542740. | − | 940054.i | −0.0910540 | − | 0.157710i | |||||
817524. | − | 1.41599e6i | 0.136487 | − | 0.236403i | |||||
−5.23271e6 | + | 9.06332e6i | −0.869378 | + | 1.50581i | |||||
1.33135e6 | + | 2.30597e6i | 0.220125 | + | 0.381267i | |||||
627708. | 0.103284 | |||||||||
2.99214e6 | + | 2.59127e6i | 0.489956 | + | 0.424314i | |||||
1.21730e6 | 0.198372 | |||||||||
−8256.00 | − | 14299.8i | −0.00133894 | − | 0.00231911i | |||||
2.76014e6 | − | 4.78070e6i | 0.445488 | − | 0.771609i | −0.552598 | − | 0.833448i | ||
0.998086 | + | 0.0618395i | ||||||||
−1.05430e6 | + | 1.82609e6i | −0.169350 | + | 0.293324i | |||||
−4.47236e6 | − | 7.74636e6i | −0.714961 | − | 1.23835i | −0.962974 | − | 0.269593i | ||
0.248013 | − | 0.968757i | ||||||||
3.76803e6 | 0.599496 | |||||||||
4.70878e6 | − | 1.63117e6i | 0.745607 | − | 0.258286i | |||||
−4.35250e6 | −0.685921 | |||||||||
1.64791e6 | + | 2.85427e6i | 0.258468 | + | 0.447680i | |||||
39168.0 | − | 67841.0i | 0.00611430 | − | 0.0105903i | |||||
3.19308e6 | − | 5.53058e6i | 0.496102 | − | 0.859274i | |||||
−3.43243e6 | − | 5.94515e6i | −0.530777 | − | 0.919333i | |||||
−2.57807e6 | −0.396788 | |||||||||
−583688. | + | 3.03293e6i | −0.0894132 | + | 0.464605i | |||||
−46242.0 | −0.00705048 | |||||||||
1.06186e6 | + | 1.83919e6i | 0.161143 | + | 0.279109i | |||||
2.09186e6 | − | 3.62321e6i | 0.315972 | − | 0.547280i | |||||
−1.93802e6 | + | 3.35674e6i | −0.291370 | + | 0.504668i | |||||
1.12787e6 | + | 1.95353e6i | 0.168781 | + | 0.292337i | |||||
2.67316e6 | 0.398171 | |||||||||
448987. | − | 353486.i | 0.0665674 | − | 0.0524083i | |||||
−1.00310e6 | −0.148034 | |||||||||
−424528. | − | 735305.i | −0.0623611 | − | 0.108013i | 0.833159 | − | 0.553033i | ||
−0.895520 | + | 0.445021i | ||||||||
−1.66133e6 | + | 2.87750e6i | −0.242917 | + | 0.420744i | |||||
896548. | − | 1.55287e6i | 0.130489 | − | 0.226014i | |||||
−974848. | − | 1.68849e6i | −0.141234 | − | 0.244625i | |||||
−1.30784e7 | −1.88610 | |||||||||
−2646.00 | + | 13749.0i | −0.000379847 | + | 0.00197374i | |||||
8.61340e6 | 1.23085 | 0.615426 | − | 0.788194i | ||||||
0.615426 | + | 0.788194i | ||||||||
−2.60406e6 | − | 4.51037e6i | −0.370425 | − | 0.641595i | |||||
2.33499e6 | − | 4.04432e6i | 0.330639 | − | 0.572683i | |||||
290428. | − | 503036.i | 0.0409385 | − | 0.0709075i | |||||
−4.84521e6 | − | 8.39214e6i | −0.679882 | − | 1.17759i | |||||
−129024. | −0.0180228 | |||||||||
3.74005e6 | − | 1.29559e6i | 0.520073 | − | 0.180159i | |||||
−3.70029e6 | −0.512226 | |||||||||
−2.95397e6 | − | 5.11643e6i | −0.407074 | − | 0.705074i | |||||
−25688.0 | + | 44492.9i | −0.00352406 | + | 0.00610385i | |||||
−3.89940e6 | + | 6.75395e6i | −0.532549 | + | 0.922401i | 0.466729 | + | 0.884400i | ||
−0.999278 | + | 0.0380009i | ||||||||
280422. | + | 485705.i | 0.0381265 | + | 0.0660370i | |||||
−55473.0 | −0.00750848 | |||||||||
2.15757e6 | + | 1.86851e6i | 0.290733 | + | 0.251782i | |||||
582624. | 0.0781594 | |||||||||
2.67270e6 | + | 4.62925e6i | 0.356951 | + | 0.618258i | |||||
−536357. | + | 928998.i | −0.0713153 | + | 0.123522i | −0.899478 | − | 0.436966i | ||
0.828163 | + | 0.560488i | ||||||||
1.32926e6 | − | 2.30235e6i | 0.175960 | − | 0.304771i | |||||
2.61810e6 | + | 4.53468e6i | 0.345036 | + | 0.597620i | |||||
3.97183e6 | 0.521134 | |||||||||
642978. | + | 556835.i | 0.0839921 | + | 0.0727393i | |||||
2.86938e6 | 0.373179 | |||||||||
507621. | + | 879225.i | 0.0657293 | + | 0.113846i | 0.897017 | − | 0.441996i | ||
−0.831288 | + | 0.555842i | ||||||||
2.30497e6 | − | 3.99233e6i | 0.297152 | − | 0.514682i | |||||
3.39047e6 | − | 5.87246e6i | 0.435180 | − | 0.753754i | −0.562130 | − | 0.827049i | ||
0.997310 | + | 0.0732945i | ||||||||
816.000 | + | 1413.35i | 0.000104280 | + | 0.000180618i | |||||
2.14893e6 | 0.273423 | |||||||||
7.55286e6 | − | 2.61639e6i | 0.956823 | − | 0.331453i | |||||
−956704. | −0.120672 | |||||||||
−165888. | − | 287326.i | −0.0208333 | − | 0.0360844i | |||||
1.65268e6 | − | 2.86253e6i | 0.206657 | − | 0.357941i | −0.744002 | − | 0.668177i | ||
0.950659 | + | 0.310236i | ||||||||
4.41072e6 | − | 7.63959e6i | 0.549148 | − | 0.951153i | |||||
385610. | + | 667895.i | 0.0478026 | + | 0.0827965i | |||||
−8.95501e6 | −1.10534 | |||||||||
2.70975e6 | − | 1.40803e7i | 0.333034 | − | 1.73050i | |||||
−4.31446e6 | −0.527981 | |||||||||
339252. | + | 587602.i | 0.0413381 | + | 0.0715998i | |||||
666272. | − | 1.15402e6i | 0.0808387 | − | 0.140017i | |||||
10449.0 | − | 18098.2i | 0.00126237 | − | 0.00218648i | |||||
1.12709e6 | + | 1.95217e6i | 0.135586 | + | 0.234841i | |||||
−1.19833e7 | −1.43543 | −0.717715 | − | 0.696337i | ||||||
−0.717715 | + | 0.696337i | ||||||||
−345744. | − | 2.39538e6i | −0.0412393 | − | 0.285714i | |||||
−2.57746e6 | −0.306128 | |||||||||
−5.47442e6 | − | 9.48197e6i | −0.647452 | − | 1.12142i | |||||
−321336. | + | 556570.i | −0.0378434 | + | 0.0655468i | |||||
977024. | − | 1.69226e6i | 0.114578 | − | 0.198455i | |||||
2.65510e6 | + | 4.59877e6i | 0.310059 | + | 0.537038i | 0.978375 | − | 0.206840i | ||
−0.668316 | + | 0.743877i | ||||||||
99144.0 | 0.0115292 | |||||||||
−4.01173e6 | + | 2.08456e7i | −0.464557 | + | 2.41391i | |||||
−2.43014e6 | −0.280231 | |||||||||
−3.20108e6 | − | 5.54444e6i | −0.367588 | − | 0.636681i | |||||
1344.00 | − | 2327.88i | 0.000153690 | − | 0.000266199i | |||||
−1.21118e6 | + | 2.09782e6i | −0.137924 | + | 0.238892i | −0.926711 | − | 0.375775i | ||
0.788786 | + | 0.614667i | ||||||||
−1.23005e6 | − | 2.13051e6i | −0.139490 | − | 0.241604i | |||||
−7.10659e6 | −0.802556 | −0.401278 | − | 0.915956i | ||||||
−0.401278 | + | 0.915956i | ||||||||
9.06059e6 | − | 3.13868e6i | 1.01898 | − | 0.352985i | |||||
−4.90560e6 | −0.549413 | |||||||||
−613184. | − | 1.06207e6i | −0.0683909 | − | 0.118457i | |||||
6.87548e6 | − | 1.19087e7i | 0.763686 | − | 1.32274i | |||||
−1.80018e6 | + | 3.11800e6i | −0.199129 | + | 0.344901i | |||||
−8.95970e6 | − | 1.55187e7i | −0.987011 | − | 1.70955i | −0.632636 | − | 0.774449i | ||
−0.354374 | − | 0.935104i | ||||||||
1.52474e6 | 0.167277 | |||||||||
5.74006e6 | + | 4.97103e6i | 0.627152 | + | 0.543130i | |||||
1.98330e7 | 2.15806 | |||||||||
27693.0 | + | 47965.7i | 0.00300101 | + | 0.00519790i | |||||
1.23379e6 | − | 2.13699e6i | 0.133157 | − | 0.230634i | |||||
−6.98950e6 | + | 1.21062e7i | −0.751269 | + | 1.30124i | 0.195940 | + | 0.980616i | ||
−0.947208 | + | 0.320619i | ||||||||
5.65407e6 | + | 9.79313e6i | 0.605257 | + | 1.04834i | |||||
−1.19304e7 | −1.27195 | |||||||||
−213248. | − | 184678.i | −0.0226430 | − | 0.0196094i | |||||
−5.25594e6 | −0.555824 | −0.277912 | − | 0.960606i | ||||||
−0.277912 | + | 0.960606i | ||||||||
−2.19044e6 | − | 3.79395e6i | −0.230706 | − | 0.399595i | |||||
−721506. | + | 1.24969e6i | −0.0756857 | + | 0.131091i | −0.901384 | − | 0.433020i | ||
0.825699 | + | 0.564112i | ||||||||
−1.19093e6 | + | 2.06275e6i | −0.124425 | + | 0.215510i | |||||
−81648.0 | − | 141418.i | −0.00849604 | − | 0.0147156i | |||||
4.50926e6 | 0.467336 | |||||||||
7.22652e6 | − | 2.50334e6i | 0.745949 | − | 0.258404i | |||||
6912.00 | 0.000710628 | |||||||||
2.43553e6 | + | 4.21846e6i | 0.249398 | + | 0.431970i | |||||
−4.72026e6 | + | 8.17573e6i | −0.481426 | + | 0.833855i | |||||
−227817. | + | 394591.i | −0.0231429 | + | 0.0400846i | |||||
3.11768e6 | + | 5.39998e6i | 0.315451 | + | 0.546378i | |||||
1.45332e7 | 1.46466 | |||||||||
−682668. | + | 3.54725e6i | −0.0685264 | + | 0.356074i | |||||
1.51723e7 | 1.51697 | 0.758487 | − | 0.651688i | ||||||
0.758487 | + | 0.651688i | ||||||||
−976992. | − | 1.69220e6i | −0.0972967 | − | 0.168523i | |||||
−1.17117e6 | + | 2.02853e6i | −0.116174 | + | 0.201220i | |||||
−4.44840e6 | + | 7.70485e6i | −0.439522 | + | 0.761275i | |||||
6.53450e6 | + | 1.13181e7i | 0.643099 | + | 1.11388i | |||||
2.87366e6 | 0.281704 | |||||||||
46819.5 | + | 18713.9i | 0.00457170 | + | 0.00182733i | |||||
885088. | 0.0860864 | |||||||||
1.81578e6 | + | 3.14502e6i | 0.175918 | + | 0.304699i | |||||
704512. | − | 1.22025e6i | 0.0679890 | − | 0.117760i | |||||
72424.0 | − | 125442.i | 0.00696205 | − | 0.0120586i | −0.862523 | − | 0.506017i | ||
0.869485 | + | 0.493959i | ||||||||
875664. | + | 1.51669e6i | 0.0838494 | + | 0.145231i | |||||
−27469.0 | −0.00262009 | −0.00131004 | − | 0.999999i | ||||||
−0.00131004 | + | 0.999999i | ||||||||
−87808.0 | + | 456264.i | −0.00834295 | + | 0.0433512i | |||||
−1.43120e7 | −1.35457 | |||||||||
5.67011e6 | + | 9.82092e6i | 0.534577 | + | 0.925915i | |||||
−4.27892e6 | + | 7.41130e6i | −0.401858 | + | 0.696039i | −0.993950 | − | 0.109831i | ||
0.592092 | + | 0.805870i | ||||||||
209952. | − | 363648.i | 0.0196419 | − | 0.0340207i | |||||
541076. | + | 937171.i | 0.0504251 | + | 0.0873388i | |||||
51252.0 | 0.00475803 | |||||||||
1.90843e6 | − | 661099.i | 0.176491 | − | 0.0611384i | |||||
−1.79795e6 | −0.165638 | |||||||||
−6.25152e6 | − | 1.08279e7i | −0.573723 | − | 0.993718i | −0.996179 | − | 0.0873343i | ||
0.422456 | − | 0.906384i | ||||||||
2.73735e6 | − | 4.74123e6i | 0.250257 | − | 0.433458i | |||||
−1.01266e7 | + | 1.75398e7i | −0.922274 | + | 1.59742i | |||||
−1.97299e6 | − | 3.41732e6i | −0.179005 | − | 0.310046i | |||||
1.68650e6 | 0.152431 | |||||||||
−7.23710e6 | − | 6.26752e6i | −0.651629 | − | 0.564327i | |||||
1.80471e7 | 1.61880 | 0.809400 | − | 0.587258i | ||||||
0.809400 | + | 0.587258i | ||||||||
210528. | + | 364645.i | 0.0188127 | + | 0.0325845i | |||||
−1.67072e6 | + | 2.89377e6i | −0.148731 | + | 0.257609i | −0.930759 | − | 0.365634i | ||
0.782028 | + | 0.623243i | ||||||||
−7.40608e6 | + | 1.28277e7i | −0.656815 | + | 1.13764i | |||||
25704.0 | + | 44520.6i | 0.00227100 | + | 0.00393349i | |||||
−7.07853e6 | −0.623050 | |||||||||
−1.25493e7 | − | 1.08680e7i | −1.10044 | − | 0.953006i | |||||
2.47309e6 | 0.216050 | |||||||||
−728896. | − | 1.26248e6i | −0.0634382 | − | 0.109878i | |||||
−420400. | + | 728154.i | −0.0364520 | + | 0.0631367i | |||||
475452. | − | 823507.i | 0.0410716 | − | 0.0711381i | |||||
−1.04168e7 | − | 1.80425e7i | −0.896497 | − | 1.55278i | |||||
−1.96024e6 | −0.168075 | |||||||||
−1.12896e6 | + | 391083.i | −0.0964396 | + | 0.0334077i | |||||
−8.47066e6 | −0.720907 | −0.360454 | − | 0.932777i | ||||||
−0.360454 | + | 0.932777i | ||||||||
2.42865e6 | + | 4.20655e6i | 0.205928 | + | 0.356678i | |||||
1.55678e6 | − | 2.69642e6i | 0.131513 | − | 0.227787i | |||||
2.97027e6 | − | 5.14466e6i | 0.249994 | − | 0.433002i | |||||
−7.32764e6 | − | 1.26918e7i | −0.614458 | − | 1.06427i | −0.990479 | − | 0.137662i | ||
0.376021 | − | 0.926611i | ||||||||
−2.19190e6 | −0.183124 | |||||||||
−2.93623e6 | + | 1.52571e7i | −0.244408 | + | 1.26998i | |||||
1.04796e7 | 0.869107 | |||||||||
2.94638e6 | + | 5.10327e6i | 0.243456 | + | 0.421678i | |||||
117708. | − | 203876.i | 0.00969047 | − | 0.0167844i | |||||
−9.88081e6 | + | 1.71141e7i | −0.810477 | + | 1.40379i | 0.102054 | + | 0.994779i | ||
−0.912531 | + | 0.409008i | ||||||||
964872. | + | 1.67121e6i | 0.0788550 | + | 0.136581i | |||||
2.79937e7 | 2.27947 | |||||||||
−8.70603e6 | − | 407548.i | −0.706333 | − | 0.0330650i | |||||
−5.01942e6 | −0.405753 | |||||||||
−2.36685e6 | − | 4.09950e6i | −0.190634 | − | 0.330187i | |||||
−29934.0 | + | 51847.2i | −0.00240224 | + | 0.00416080i | |||||
346752. | − | 600592.i | 0.0277266 | − | 0.0480238i | |||||
−6.79162e6 | − | 1.17634e7i | −0.541101 | − | 0.937214i | −0.998841 | − | 0.0481282i | ||
0.457740 | − | 0.889086i | ||||||||
−2.16410e6 | −0.171795 | |||||||||
67473.0 | − | 350600.i | 0.00533700 | − | 0.0277318i | |||||
3.91162e6 | 0.308289 | |||||||||
−138073. | − | 239149.i | −0.0108429 | − | 0.0187805i | |||||
1.87430e6 | − | 3.24639e6i | 0.146662 | − | 0.254026i | |||||
1.46741e7 | − | 2.54163e7i | 1.14412 | − | 1.98167i | |||||
1.02256e6 | + | 1.77113e6i | 0.0794423 | + | 0.137598i | |||||
1.12283e7 | 0.869206 | |||||||||
−8.37116e6 | + | 2.89985e6i | −0.645715 | + | 0.223682i | |||||
−1.29915e7 | −0.998538 | −0.499269 | − | 0.866447i | ||||||
−0.499269 | + | 0.866447i | ||||||||
4374.00 | + | 7575.99i | 0.000334993 | + | 0.000580225i | |||||
−5.68277e6 | + | 9.84284e6i | −0.433682 | + | 0.751160i | |||||
−69632.0 | + | 120606.i | −0.00529514 | + | 0.00917145i | |||||
7.14479e6 | + | 1.23751e7i | 0.541398 | + | 0.937729i | |||||
−1.21101e7 | −0.914399 | |||||||||
9.80098e6 | + | 8.48790e6i | 0.737430 | + | 0.638633i | |||||
4.58323e6 | 0.343628 | |||||||||
−954367. | − | 1.65301e6i | −0.0713017 | − | 0.123498i | 0.828170 | − | 0.560476i | ||
−0.899472 | + | 0.436978i | ||||||||
−7.71145e6 | + | 1.33566e7i | −0.574103 | + | 0.994376i | |||||
1.23651e6 | − | 2.14169e6i | 0.0917323 | − | 0.158885i | |||||
−1.88774e6 | − | 3.26967e6i | −0.139554 | − | 0.241715i | |||||
−387744. | −0.0285641 | |||||||||
−6.71731e6 | − | 5.81736e6i | −0.493117 | − | 0.427052i | |||||
−8772.00 | −0.000641702 | |||||||||
−2.00510e6 | − | 3.47294e6i | −0.146169 | − | 0.253172i | |||||
−2.23617e6 | + | 3.87315e6i | −0.162445 | + | 0.281363i | |||||
9.18911e6 | − | 1.59160e7i | 0.665216 | − | 1.15219i | |||||
5.55999e6 | + | 9.63018e6i | 0.401099 | + | 0.694724i | 0.993859 | − | 0.110655i | ||
−0.592760 | + | 0.805379i | ||||||||
1.78330e6 | 0.128201 | |||||||||
−1.49071e7 | + | 5.16399e6i | −1.06796 | + | 0.369953i | |||||
1.03591e6 | 0.0739571 | |||||||||
−1.24928e6 | − | 2.16382e6i | −0.0888821 | − | 0.153948i | |||||
−1.59386e6 | + | 2.76065e6i | −0.113007 | + | 0.195734i | |||||
1.38978e7 | − | 2.40718e7i | 0.981979 | − | 1.70084i | |||||
2.87811e6 | + | 4.98503e6i | 0.202659 | + | 0.351016i | |||||
8.37406e6 | 0.587624 | 0.293812 | − | 0.955863i | ||||||
0.293812 | + | 0.955863i | ||||||||
4704.00 | − | 24442.7i | 0.000328957 | − | 0.00170931i | |||||
531441. | 0.0370370 | |||||||||
3.58121e6 | + | 6.20284e6i | 0.248727 | + | 0.430808i | |||||
1.76034e7 | − | 3.04900e7i | 1.21844 | − | 2.11040i | |||||
−4.15109e6 | + | 7.18990e6i | −0.286341 | + | 0.495958i | |||||
−2.32224e6 | − | 4.02224e6i | −0.159642 | − | 0.276508i | 0.775098 | − | 0.631841i | ||
−0.934740 | + | 0.355334i | ||||||||
4.45092e6 | 0.304937 | |||||||||
1.20794e7 | + | 4.82820e6i | 0.824761 | + | 0.329660i | |||||
229376. | 0.0156082 | |||||||||
1.02957e6 | + | 1.78327e6i | 0.0698212 | + | 0.120934i | |||||
2.49707e6 | − | 4.32505e6i | 0.168768 | − | 0.292314i | |||||
5.53116e6 | − | 9.58026e6i | 0.372568 | − | 0.645307i | −0.617392 | − | 0.786656i | ||
0.989960 | + | 0.141349i | ||||||||
5.25150e6 | + | 9.09587e6i | 0.352537 | + | 0.610612i | |||||
−40203.0 | −0.00268976 | |||||||||
1.95569e6 | − | 1.01621e7i | 0.130404 | − | 0.677597i | |||||
1.97245e6 | 0.131079 | 0.0655395 | − | 0.997850i | ||||||
0.0655395 | + | 0.997850i | ||||||||
−498528. | − | 863476.i | −0.0330185 | − | 0.0571897i | |||||
6.53101e6 | − | 1.13120e7i | 0.431112 | − | 0.746707i | |||||
−4.91790e6 | + | 8.51805e6i | −0.323543 | + | 0.560393i | |||||
−4.47938e6 | − | 7.75852e6i | −0.293708 | − | 0.508718i | |||||
−1.03578e6 | −0.0676880 | |||||||||
5.95938e6 | − | 2.06439e6i | 0.388147 | − | 0.134458i | |||||
3.54802e6 | 0.230320 | |||||||||
−7.51232e6 | − | 1.30117e7i | −0.486042 | − | 0.841850i | 0.513829 | − | 0.857893i | ||
−0.999871 | + | 0.0160425i | ||||||||
−2.36314e6 | + | 4.09307e6i | −0.152386 | + | 0.263940i | |||||
−1.38748e6 | + | 2.40318e6i | −0.0891740 | + | 0.154454i | |||||
39048.0 | + | 67633.1i | 0.00250133 | + | 0.00433243i | |||||
6.59173e6 | 0.420854 | |||||||||
−1.14307e6 | − | 989929.i | −0.0727393 | − | 0.0629941i | |||||
−4.72426e6 | −0.299636 | −0.149818 | − | 0.988714i | ||||||
−0.149818 | + | 0.988714i | ||||||||
−8.20260e6 | − | 1.42073e7i | −0.518535 | − | 0.898130i | |||||
−34272.0 | + | 59360.8i | −0.00215941 | + | 0.00374021i | |||||
−4.09773e6 | + | 7.09747e6i | −0.257341 | + | 0.445728i | |||||
4.28918e6 | + | 7.42907e6i | 0.268480 | + | 0.465021i | 0.968470 | − | 0.249132i | ||
−0.699989 | + | 0.714153i | ||||||||
−5.47074e6 | −0.341318 | |||||||||
−1.49034e7 | − | 1.29067e7i | −0.926771 | − | 0.802607i | |||||
−3.82032e6 | −0.236792 | |||||||||
6.63163e6 | + | 1.14863e7i | 0.409701 | + | 0.709623i | |||||
−5.18826e6 | + | 8.98634e6i | −0.319485 | + | 0.553364i | |||||
−47742.0 | + | 82691.6i | −0.00293030 | + | 0.00507543i | |||||
294912. | + | 510803.i | 0.0180422 | + | 0.0312500i | |||||
1.76168e7 | 1.07426 | 0.537131 | − | 0.843499i | ||||||
0.537131 | + | 0.843499i | ||||||||
1.43276e6 | − | 496323.i | 0.0870857 | − | 0.0301674i | |||||
−3.67886e6 | −0.222883 | |||||||||
−685528. | − | 1.18737e6i | −0.0413982 | − | 0.0717039i | |||||
627101. | − | 1.08617e6i | 0.0377475 | − | 0.0653807i | −0.846534 | − | 0.532334i | ||
0.884282 | + | 0.466953i | ||||||||
2.99554e6 | − | 5.18843e6i | 0.179731 | − | 0.311303i | |||||
−3.69655e6 | − | 6.40261e6i | −0.221076 | − | 0.382916i | |||||
7.67014e6 | 0.457245 | |||||||||
1.68308e6 | − | 8.74552e6i | 0.100012 | − | 0.519677i | |||||
−8.93626e6 | −0.529306 | |||||||||
1.14757e7 | + | 1.98765e7i | 0.677542 | + | 1.17354i | |||||
−18576.0 | + | 32174.6i | −0.00109324 | + | 0.00189355i | |||||
762178. | − | 1.32013e6i | 0.0447125 | − | 0.0774443i | |||||
852992. | + | 1.47743e6i | 0.0498802 | + | 0.0863950i | |||||
4.74433e6 | 0.276548 | |||||||||
614656. | + | 4.25846e6i | 0.0357143 | + | 0.247436i | |||||
−3.35151e7 | −1.94118 | |||||||||
−4.23904e6 | − | 7.34223e6i | −0.244743 | − | 0.423908i | |||||
−3.54560e6 | + | 6.14117e6i | −0.204058 | + | 0.353439i | −0.949832 | − | 0.312760i | ||
0.745774 | + | 0.666199i | ||||||||
571264. | − | 989458.i | 0.0327734 | − | 0.0567652i | |||||
4.89656e6 | + | 8.48109e6i | 0.280026 | + | 0.485019i | |||||
1.05027e7 | 0.598731 | |||||||||
−1.49171e6 | + | 7.75114e6i | −0.0847700 | + | 0.440478i | |||||
−176256. | −0.00998461 | |||||||||
−86481.0 | − | 149789.i | −0.00488357 | − | 0.00845860i | |||||
−4.12799e6 | + | 7.14990e6i | −0.232374 | + | 0.402484i | |||||
−7.72297e6 | + | 1.33766e7i | −0.433378 | + | 0.750632i | |||||
5.69082e6 | + | 9.85678e6i | 0.318340 | + | 0.551382i | |||||
−2.71630e6 | −0.151472 | −0.0757358 | − | 0.997128i | ||||||
−0.0757358 | + | 0.997128i | ||||||||
6.56649e6 | − | 2.27470e6i | 0.365028 | − | 0.126449i | |||||
−3.51516e7 | −1.94795 | |||||||||
2.18675e6 | + | 3.78757e6i | 0.120802 | + | 0.209235i | |||||
2.38918e6 | − | 4.13817e6i | 0.131573 | − | 0.227891i | |||||
2.30566e6 | − | 3.99351e6i | 0.126578 | − | 0.219240i | |||||
−353957. | − | 613072.i | −0.0193714 | − | 0.0335523i | |||||
8.72107e6 | 0.475806 | |||||||||
−1.88787e6 | − | 1.63495e6i | −0.102679 | − | 0.0889229i | |||||
20772.0 | 0.00112627 | |||||||||
−3.00730e6 | − | 5.20881e6i | −0.162552 | − | 0.281549i | |||||
3.20032e6 | − | 5.54312e6i | 0.172451 | − | 0.298693i | |||||
1.09370e7 | − | 1.89434e7i | 0.587524 | − | 1.01762i | −0.407032 | − | 0.913414i | ||
0.994556 | − | 0.104207i | ||||||||
1.12849e6 | + | 1.95461e6i | 0.0604346 | + | 0.104676i | |||||
−1.72352e7 | −0.920164 | −0.460082 | − | 0.887876i | ||||||
−0.460082 | + | 0.887876i | ||||||||
−1.02045e7 | − | 8.83739e6i | −0.543130 | − | 0.470364i | |||||
7.47598e6 | 0.396681 | |||||||||
−519044. | − | 899011.i | −0.0274564 | − | 0.0475558i | |||||
4.83200e6 | − | 8.36926e6i | 0.254819 | − | 0.441360i | |||||
−2.19341e6 | + | 3.79909e6i | −0.115317 | + | 0.199735i | |||||
1.37665e7 | + | 2.38444e7i | 0.721556 | + | 1.24977i | |||||
−2.37365e7 | −1.24032 | |||||||||
29767.5 | − | 10311.8i | 0.00155072 | − | 0.000537184i | |||||
2.12097e7 | 1.10154 | |||||||||
1.13096e7 | + | 1.95887e7i | 0.585582 | + | 1.01426i | 0.994803 | + | 0.101823i | ||
−0.409220 | + | 0.912436i | ||||||||
−5.85914e6 | + | 1.01483e7i | −0.302451 | + | 0.523860i | |||||
−813164. | + | 1.40844e6i | −0.0418484 | + | 0.0724835i | −0.886191 | − | 0.463320i | ||
0.844343 | + | 0.535804i | ||||||||
3.89411e6 | + | 6.74480e6i | 0.199798 | + | 0.346060i | |||||
−1.30693e6 | −0.0668523 | |||||||||
3.11914e6 | − | 1.62075e7i | 0.159069 | − | 0.826546i | |||||
−2.28304e7 | −1.16078 | −0.580391 | − | 0.814338i | ||||||
−0.580391 | + | 0.814338i | ||||||||
145152. | + | 251411.i | 0.00735779 | + | 0.0127441i | |||||
−1.29297e7 | + | 2.23948e7i | −0.653432 | + | 1.13178i | 0.328852 | + | 0.944382i | ||
−0.982284 | + | 0.187397i | ||||||||
1.90235e7 | − | 3.29497e7i | 0.958509 | − | 1.66019i | |||||
4.16283e6 | + | 7.21023e6i | 0.209115 | + | 0.362198i | |||||
−12288.0 | −0.000615422 | |||||||||
−2.51433e7 | + | 1.97952e7i | −1.25548 | + | 0.988433i | |||||
115596. | 0.00575477 | |||||||||
−2.25965e6 | − | 3.91383e6i | −0.112157 | − | 0.194261i | |||||
405008. | − | 701494.i | 0.0200423 | − | 0.0347143i | |||||
630950. | − | 1.09284e6i | 0.0311301 | − | 0.0539190i | |||||
1.54333e6 | + | 2.67313e6i | 0.0759188 | + | 0.131495i | |||||
−1.23061e7 | −0.603554 | −0.301777 | − | 0.953379i | ||||||
−0.301777 | + | 0.953379i | ||||||||
1.21363e6 | − | 6.30622e6i | 0.0593456 | − | 0.308369i | |||||
2.18429e7 | 1.06493 | |||||||||
−5.75084e6 | − | 9.96074e6i | −0.279544 | − | 0.484185i | |||||
6.01357e6 | − | 1.04158e7i | 0.291449 | − | 0.504805i | |||||
2.08208e6 | − | 3.60627e6i | 0.100610 | − | 0.174262i | |||||
1.59652e7 | + | 2.76526e7i | 0.769189 | + | 1.33227i | |||||
−5.98169e6 | −0.287341 | |||||||||
1.95871e7 | − | 6.78518e6i | 0.938129 | − | 0.324977i | |||||
−5.10874e6 | −0.243963 | |||||||||
−4.46831e6 | − | 7.73933e6i | −0.212752 | − | 0.368497i | |||||
−1.62640e7 | + | 2.81700e7i | −0.772110 | + | 1.33733i | |||||
−854896. | + | 1.48072e6i | −0.0404659 | + | 0.0700890i | |||||
−3.22805e6 | − | 5.59114e6i | −0.152349 | − | 0.263877i | |||||
−1.91416e7 | −0.900753 | −0.450377 | − | 0.892839i | ||||||
−0.450377 | + | 0.892839i | ||||||||
2.26004e7 | + | 1.95725e7i | 1.06040 | + | 0.918336i | |||||
−1.03724e7 | −0.485247 | |||||||||
−1.55674e6 | − | 2.69635e6i | −0.0726157 | − | 0.125774i | |||||
2.37754e6 | − | 4.11801e6i | 0.110580 | − | 0.191529i | −0.805424 | − | 0.592698i | ||
0.916004 | + | 0.401169i | ||||||||
1836.00 | − | 3180.05i | 8.51441e−5 | − | 0.000147474i | |||||
4.59938e6 | + | 7.96636e6i | 0.212675 | + | 0.368364i | 0.952551 | − | 0.304380i | ||
−0.739876 | + | 0.672743i | ||||||||
2.54436e7 | 1.17309 | |||||||||
−1.35951e7 | − | 1.17737e7i | −0.624994 | − | 0.541261i | |||||
551448. | 0.0252776 | |||||||||
8.67659e6 | + | 1.50283e7i | 0.396572 | + | 0.686883i | 0.993300 | − | 0.115560i | ||
−0.596728 | + | 0.802443i | ||||||||
−373248. | + | 646484.i | −0.0170103 | + | 0.0294628i | |||||
5.81601e6 | − | 1.00736e7i | 0.264292 | − | 0.457768i | |||||
3.13051e6 | + | 5.42220e6i | 0.141847 | + | 0.245686i | |||||
−1.98482e7 | −0.896756 | |||||||||
−3.39276e6 | + | 1.17529e6i | −0.152846 | + | 0.0529474i | |||||
−1.03805e6 | −0.0466305 | |||||||||
1.00744e7 | + | 1.74493e7i | 0.451253 | + | 0.781594i | |||||
−90844.5 | + | 157347.i | −0.00405745 | + | 0.00702771i | |||||
−4.86640e6 | + | 8.42885e6i | −0.216729 | + | 0.375385i | |||||
4.85376e6 | + | 8.40696e6i | 0.215547 | + | 0.373339i | |||||
−1.33414e6 | −0.0590778 | |||||||||
2.41462e6 | − | 1.25467e7i | 0.106618 | − | 0.554001i | |||||
−2.99822e6 | −0.132009 | |||||||||
1.77811e7 | + | 3.07978e7i | 0.780655 | + | 1.35213i | 0.931560 | + | 0.363587i | ||
−0.150905 | + | 0.988548i | ||||||||
9.76315e6 | − | 1.69103e7i | 0.427419 | − | 0.740311i | |||||
2.53595e6 | − | 4.39239e6i | 0.110705 | − | 0.191747i | |||||
−374272. | − | 648258.i | −0.0162922 | − | 0.0282190i | |||||
−2.63056e7 | −1.14185 | −0.570923 | − | 0.821003i | ||||||
−0.570923 | + | 0.821003i | ||||||||
−4.27858e6 | + | 3.36851e6i | −0.185195 | + | 0.145803i | |||||
1.20394e7 | 0.519642 | 0.259821 | − | 0.965657i | ||||||
0.259821 | + | 0.965657i | ||||||||
−45696.0 | − | 79147.8i | −0.00196674 | − | 0.00340650i | |||||
−1.23174e7 | + | 2.13344e7i | −0.528643 | + | 0.915636i | |||||
−2.60303e6 | + | 4.50858e6i | −0.111403 | + | 0.192955i | |||||
66795.0 | + | 115692.i | 0.00285059 | + | 0.00493737i | 0.867447 | − | 0.497529i | ||
−0.864597 | + | 0.502467i | ||||||||
−4.39661e6 | −0.187105 | |||||||||
−3.72314e6 | + | 1.93460e7i | −0.157999 | + | 0.820989i | |||||
2.02932e7 | 0.858769 | |||||||||
−111537. | − | 193188.i | −0.00470679 | − | 0.00815240i | |||||
−845248. | + | 1.46401e6i | −0.0355690 | + | 0.0616074i | |||||
1.37450e7 | − | 2.38070e7i | 0.576786 | − | 0.999023i | |||||
2.73391e6 | + | 4.73527e6i | 0.114404 | + | 0.198153i | |||||
2.15549e7 | 0.899472 | |||||||||
2.00704e6 | − | 695259.i | 0.0835191 | − | 0.0289319i | |||||
−6048.00 | −0.000250975 | |||||||||
−6.26282e6 | − | 1.08475e7i | −0.259167 | − | 0.448890i | |||||
5.63267e6 | − | 9.75608e6i | 0.232442 | − | 0.402602i | |||||
−2.76761e6 | + | 4.79364e6i | −0.113893 | + | 0.197269i | |||||
−1.89981e7 | − | 3.29057e7i | −0.779648 | − | 1.35039i | |||||
−2.09630e6 | −0.0857902 | |||||||||
−1.63091e7 | − | 1.41241e7i | −0.665594 | − | 0.576422i | |||||
3.89670e6 | 0.158590 | |||||||||
−8.56702e6 | − | 1.48385e7i | −0.347703 | − | 0.602239i | |||||
−1.37966e6 | + | 2.38965e6i | −0.0558410 | + | 0.0967194i | |||||
6.37379e6 | − | 1.10397e7i | 0.257264 | − | 0.445595i | −0.708244 | − | 0.705968i | ||
0.965508 | + | 0.260373i | ||||||||
−5.23800e6 | − | 9.07248e6i | −0.210839 | − | 0.365184i | |||||
8.10081e6 | 0.325176 | |||||||||
101136. | + | 87586.3i | 0.00404858 | + | 0.00350617i | |||||
2.43253e7 | 0.971095 | 0.485548 | − | 0.874210i | ||||||
0.485548 | + | 0.874210i | ||||||||
−1.71533e6 | − | 2.97104e6i | −0.0682905 | − | 0.118283i | |||||
−1.88023e6 | + | 3.25666e6i | −0.0746509 | + | 0.129299i | |||||
1.29854e7 | − | 2.24913e7i | 0.514149 | − | 0.890532i | |||||
−2.23121e7 | − | 3.86457e7i | −0.881024 | − | 1.52598i | |||||
8.92341e6 | 0.351392 | |||||||||
−2.88490e7 | + | 9.99359e6i | −1.13294 | + | 0.392462i | |||||
−5.55206e6 | −0.217444 | |||||||||
1.92402e7 | + | 3.33251e7i | 0.751487 | + | 1.30161i | 0.947102 | + | 0.320933i | ||
−0.195615 | + | 0.980681i | ||||||||
−616448. | + | 1.06772e6i | −0.0240119 | + | 0.0415899i | |||||
1.27216e7 | − | 2.20345e7i | 0.494190 | − | 0.855963i | |||||
1.06943e7 | + | 1.85231e7i | 0.414311 | + | 0.717608i | |||||
134502. | 0.00519666 | |||||||||
−119952. | + | 623289.i | −0.00462197 | + | 0.0240165i | |||||
−3.26005e7 | −1.25277 | |||||||||
6.74571e6 | + | 1.16839e7i | 0.258523 | + | 0.447776i | |||||
−4.92849e6 | + | 8.53639e6i | −0.188371 | + | 0.326268i | |||||
−3.33210e6 | + | 5.77136e6i | −0.127013 | + | 0.219993i | |||||
−1.98339e7 | − | 3.43533e7i | −0.753996 | − | 1.30596i | −0.945872 | − | 0.324540i | ||
0.191876 | − | 0.981419i | ||||||||
5.35918e6 | 0.203185 | |||||||||
−3.57509e6 | − | 2.47689e7i | −0.135180 | − | 0.936555i | |||||
−1.99615e7 | −0.752755 | |||||||||
−5.07291e6 | − | 8.78654e6i | −0.190789 | − | 0.330456i | |||||
4.46904e6 | − | 7.74061e6i | 0.167628 | − | 0.290341i | |||||
2.78365e6 | − | 4.82142e6i | 0.104132 | − | 0.180362i | |||||
−7776.00 | − | 13468.4i | −0.000290113 | − | 0.000502490i | |||||
1.48428e7 | 0.552288 | 0.276144 | − | 0.961116i | ||||||
0.276144 | + | 0.961116i | ||||||||
5.93517e6 | − | 3.08401e7i | 0.220255 | − | 1.14448i | |||||
2.12412e7 | 0.786166 | |||||||||
−1.27019e7 | − | 2.20003e7i | −0.468865 | − | 0.812098i | |||||
−2.33532e7 | + | 4.04488e7i | −0.859748 | + | 1.48913i | 0.0124203 | + | 0.999923i | ||
−0.872169 | + | 0.489205i | ||||||||
7.01478e6 | − | 1.21500e7i | 0.257565 | − | 0.446116i | |||||
1.72637e6 | + | 2.99016e6i | 0.0632199 | + | 0.109500i | |||||
−8.14797e6 | −0.297591 | |||||||||
7.68001e6 | − | 2.66044e6i | 0.279758 | − | 0.0969110i | |||||
−2.51478e6 | −0.0913632 | |||||||||
−2.01190e7 | − | 3.48471e7i | −0.729006 | − | 1.26267i | −0.957304 | − | 0.289083i | ||
0.228298 | − | 0.973591i | ||||||||
−2.19823e6 | + | 3.80745e6i | −0.0794425 | + | 0.137598i | |||||
31231.5 | − | 54094.5i | 0.00112571 | − | 0.00194979i | |||||
−1.27190e7 | − | 2.20300e7i | −0.457241 | − | 0.791965i | |||||
2.00178e7 | 0.717737 | |||||||||
1.19419e7 | + | 1.03420e7i | 0.427052 | + | 0.369838i | |||||
2.45579e7 | 0.875908 | 0.437954 | − | 0.898997i | ||||||
0.437954 | + | 0.898997i | ||||||||
−3.23287e6 | − | 5.59950e6i | −0.115005 | − | 0.199195i | |||||
1.02671e7 | − | 1.77832e7i | 0.364284 | − | 0.630958i | |||||
3.97541e6 | − | 6.88561e6i | 0.140681 | − | 0.243667i | |||||
−995724. | − | 1.72464e6i | −0.0351446 | − | 0.0608723i | |||||
1.00855e7 | 0.355044 | |||||||||
3.18998e7 | + | 2.76260e7i | 1.12006 | + | 0.970000i | |||||
−3.17030e6 | −0.111026 | |||||||||
1.28164e7 | + | 2.21986e7i | 0.447669 | + | 0.775386i | |||||
45798.0 | − | 79324.5i | 0.00159554 | − | 0.00276356i | |||||
1.97024e6 | − | 3.41256e6i | 0.0684627 | − | 0.118581i | |||||
2.22094e6 | + | 3.84679e6i | 0.0769742 | + | 0.133323i | |||||
7.36943e6 | 0.254751 | |||||||||
987840. | − | 342198.i | 0.0340599 | − | 0.0117987i | |||||
5.34313e7 | 1.83751 | 0.918754 | − | 0.394830i | ||||||
0.918754 | + | 0.394830i | ||||||||
−5.11664e6 | − | 8.86228e6i | −0.175508 | − | 0.303988i | |||||
1.27578e7 | − | 2.20971e7i | 0.436480 | − | 0.756006i | |||||
−2.06135e7 | + | 3.57037e7i | −0.703433 | + | 1.21838i | |||||
1.40743e6 | + | 2.43773e6i | 0.0479046 | + | 0.0829733i | 0.888983 | − | 0.457939i | ||
−0.841079 | + | 0.540913i | ||||||||
−944784. | −0.0320750 | |||||||||
78669.5 | − | 408779.i | 0.00266394 | − | 0.0138422i | |||||
−7.66687e6 | −0.258953 | |||||||||
−57658.5 | − | 99867.5i | −0.00194246 | − | 0.00336444i | |||||
7.37971e6 | − | 1.27820e7i | 0.247979 | − | 0.429512i | |||||
−1.27356e7 | + | 2.20588e7i | −0.426859 | + | 0.739341i | −0.996592 | − | 0.0824885i | ||
0.569733 | + | 0.821830i | ||||||||
2.02270e6 | + | 3.50341e6i | 0.0676213 | + | 0.117124i | |||||
−2.00573e6 | −0.0668829 | |||||||||
−2.14745e7 | − | 8.58346e6i | −0.714264 | − | 0.285494i | |||||
−1.23181e7 | −0.408668 | |||||||||
1.16575e7 | + | 2.01914e7i | 0.385768 | + | 0.668170i | |||||
1.45067e6 | − | 2.51264e6i | 0.0478835 | − | 0.0829367i | −0.841090 | − | 0.540895i | ||
0.888974 | + | 0.457958i | ||||||||
−4.43923e6 | + | 7.68898e6i | −0.146157 | + | 0.253152i | |||||
3.07054e6 | + | 5.31834e6i | 0.100838 | + | 0.174657i | |||||
−4.95649e7 | −1.62361 | |||||||||
−4.07087e6 | + | 2.11529e7i | −0.133013 | + | 0.691156i | |||||
71472.0 | 0.00232940 | |||||||||
2.07099e6 | + | 3.58706e6i | 0.0673268 | + | 0.116613i | |||||
473688. | − | 820452.i | 0.0153605 | − | 0.0266051i | |||||
−1.36892e6 | + | 2.37103e6i | −0.0442785 | + | 0.0766927i | −0.887315 | − | 0.461163i | ||
0.843037 | + | 0.537856i | ||||||||
886272. | + | 1.53507e6i | 0.0285949 | + | 0.0495277i | |||||
3.33274e7 | 1.07258 | |||||||||
−2.19687e7 | + | 7.61017e6i | −0.705241 | + | 0.244303i | |||||
−6.11763e7 | −1.95896 | |||||||||
7.96334e6 | + | 1.37929e7i | 0.254359 | + | 0.440563i | |||||
1.37040e7 | − | 2.37359e7i | 0.436624 | − | 0.756256i | −0.560802 | − | 0.827950i | ||
0.997427 | + | 0.0716942i | ||||||||
−2.00097e7 | + | 3.46579e7i | −0.635938 | + | 1.10148i | |||||
−2.78223e6 | − | 4.81896e6i | −0.0882021 | − | 0.152771i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 42.6.e.b.25.1 | ✓ | 2 | |
3.2 | odd | 2 | 126.6.g.b.109.1 | 2 | |||
4.3 | odd | 2 | 336.6.q.a.193.1 | 2 | |||
7.2 | even | 3 | inner | 42.6.e.b.37.1 | yes | 2 | |
7.3 | odd | 6 | 294.6.a.e.1.1 | 1 | |||
7.4 | even | 3 | 294.6.a.d.1.1 | 1 | |||
7.5 | odd | 6 | 294.6.e.m.79.1 | 2 | |||
7.6 | odd | 2 | 294.6.e.m.67.1 | 2 | |||
21.2 | odd | 6 | 126.6.g.b.37.1 | 2 | |||
21.11 | odd | 6 | 882.6.a.m.1.1 | 1 | |||
21.17 | even | 6 | 882.6.a.y.1.1 | 1 | |||
28.23 | odd | 6 | 336.6.q.a.289.1 | 2 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
42.6.e.b.25.1 | ✓ | 2 | 1.1 | even | 1 | trivial | |
42.6.e.b.37.1 | yes | 2 | 7.2 | even | 3 | inner | |
126.6.g.b.37.1 | 2 | 21.2 | odd | 6 | |||
126.6.g.b.109.1 | 2 | 3.2 | odd | 2 | |||
294.6.a.d.1.1 | 1 | 7.4 | even | 3 | |||
294.6.a.e.1.1 | 1 | 7.3 | odd | 6 | |||
294.6.e.m.67.1 | 2 | 7.6 | odd | 2 | |||
294.6.e.m.79.1 | 2 | 7.5 | odd | 6 | |||
336.6.q.a.193.1 | 2 | 4.3 | odd | 2 | |||
336.6.q.a.289.1 | 2 | 28.23 | odd | 6 | |||
882.6.a.m.1.1 | 1 | 21.11 | odd | 6 | |||
882.6.a.y.1.1 | 1 | 21.17 | even | 6 |