Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(121,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.121");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.l (of order \(3\), degree \(2\), 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: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 121.10 | ||
Character | \(\chi\) | \(=\) | 315.121 |
Dual form | 315.2.l.c.151.10 |
$q$-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 \(\chi\) on generators for \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0255806 | 0.0180882 | 0.00904412 | − | 0.999959i | \(-0.497121\pi\) | ||||
0.00904412 | + | 0.999959i | \(0.497121\pi\) | |||||||
\(3\) | 0.676102 | − | 1.59464i | 0.390348 | − | 0.920667i | ||||
\(4\) | −1.99935 | −0.999673 | ||||||||
\(5\) | −0.500000 | − | 0.866025i | −0.223607 | − | 0.387298i | ||||
\(6\) | 0.0172951 | − | 0.0407920i | 0.00706071 | − | 0.0166533i | ||||
\(7\) | −2.37158 | − | 1.17286i | −0.896374 | − | 0.443299i | ||||
\(8\) | −0.102306 | −0.0361706 | ||||||||
\(9\) | −2.08577 | − | 2.15628i | −0.695257 | − | 0.718761i | ||||
\(10\) | −0.0127903 | − | 0.0221535i | −0.00404465 | − | 0.00700555i | ||||
\(11\) | −1.89007 | + | 3.27369i | −0.569877 | + | 0.987056i | 0.426701 | + | 0.904393i | \(0.359676\pi\) |
−0.996578 | + | 0.0826628i | \(0.973658\pi\) | |||||||
\(12\) | −1.35176 | + | 3.18824i | −0.390220 | + | 0.920366i | ||||
\(13\) | −2.77025 | + | 4.79822i | −0.768330 | + | 1.33079i | 0.170137 | + | 0.985420i | \(0.445579\pi\) |
−0.938468 | + | 0.345367i | \(0.887754\pi\) | |||||||
\(14\) | −0.0606666 | − | 0.0300025i | −0.0162138 | − | 0.00801849i | ||||
\(15\) | −1.71905 | + | 0.211800i | −0.443857 | + | 0.0546865i | ||||
\(16\) | 3.99607 | 0.999019 | ||||||||
\(17\) | −0.271942 | − | 0.471017i | −0.0659555 | − | 0.114238i | 0.831162 | − | 0.556030i | \(-0.187676\pi\) |
−0.897117 | + | 0.441792i | \(0.854343\pi\) | |||||||
\(18\) | −0.0533554 | − | 0.0551591i | −0.0125760 | − | 0.0130011i | ||||
\(19\) | 3.62126 | − | 6.27220i | 0.830774 | − | 1.43894i | −0.0666517 | − | 0.997776i | \(-0.521232\pi\) |
0.897425 | − | 0.441166i | \(-0.145435\pi\) | |||||||
\(20\) | 0.999673 | + | 1.73148i | 0.223534 | + | 0.387172i | ||||
\(21\) | −3.47372 | + | 2.98886i | −0.758028 | + | 0.652222i | ||||
\(22\) | −0.0483491 | + | 0.0837432i | −0.0103081 | + | 0.0178541i | ||||
\(23\) | −3.62796 | − | 6.28380i | −0.756481 | − | 1.31026i | −0.944635 | − | 0.328124i | \(-0.893584\pi\) |
0.188154 | − | 0.982140i | \(-0.439750\pi\) | |||||||
\(24\) | −0.0691692 | + | 0.163141i | −0.0141191 | + | 0.0333011i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | −0.0708649 | + | 0.122742i | −0.0138977 | + | 0.0240716i | ||||
\(27\) | −4.84870 | + | 1.86819i | −0.933132 | + | 0.359534i | ||||
\(28\) | 4.74161 | + | 2.34495i | 0.896081 | + | 0.443154i | ||||
\(29\) | −4.04878 | − | 7.01269i | −0.751839 | − | 1.30222i | −0.946931 | − | 0.321438i | \(-0.895834\pi\) |
0.195092 | − | 0.980785i | \(-0.437500\pi\) | |||||||
\(30\) | −0.0439745 | + | 0.00541797i | −0.00802860 | + | 0.000989182i | ||||
\(31\) | 1.74165 | 0.312810 | 0.156405 | − | 0.987693i | \(-0.450009\pi\) | ||||
0.156405 | + | 0.987693i | \(0.450009\pi\) | |||||||
\(32\) | 0.306834 | 0.0542411 | ||||||||
\(33\) | 3.94249 | + | 5.22733i | 0.686300 | + | 0.909962i | ||||
\(34\) | −0.00695644 | − | 0.0120489i | −0.00119302 | − | 0.00206637i | ||||
\(35\) | 0.170066 | + | 2.64028i | 0.0287465 | + | 0.446289i | ||||
\(36\) | 4.17018 | + | 4.31116i | 0.695030 | + | 0.718526i | ||||
\(37\) | 1.67242 | − | 2.89671i | 0.274943 | − | 0.476216i | −0.695177 | − | 0.718838i | \(-0.744674\pi\) |
0.970121 | + | 0.242622i | \(0.0780076\pi\) | |||||||
\(38\) | 0.0926341 | − | 0.160447i | 0.0150272 | − | 0.0260279i | ||||
\(39\) | 5.77847 | + | 7.66166i | 0.925296 | + | 1.22685i | ||||
\(40\) | 0.0511529 | + | 0.0885994i | 0.00808798 | + | 0.0140088i | ||||
\(41\) | 0.238169 | − | 0.412522i | 0.0371958 | − | 0.0644250i | −0.846828 | − | 0.531867i | \(-0.821491\pi\) |
0.884024 | + | 0.467441i | \(0.154824\pi\) | |||||||
\(42\) | −0.0888600 | + | 0.0764568i | −0.0137114 | + | 0.0117975i | ||||
\(43\) | −0.279323 | − | 0.483802i | −0.0425964 | − | 0.0737791i | 0.843941 | − | 0.536436i | \(-0.180230\pi\) |
−0.886538 | + | 0.462657i | \(0.846896\pi\) | |||||||
\(44\) | 3.77890 | − | 6.54524i | 0.569690 | − | 0.986733i | ||||
\(45\) | −0.824510 | + | 2.88447i | −0.122911 | + | 0.429992i | ||||
\(46\) | −0.0928054 | − | 0.160744i | −0.0136834 | − | 0.0237004i | ||||
\(47\) | −8.57725 | −1.25112 | −0.625560 | − | 0.780176i | \(-0.715129\pi\) | ||||
−0.625560 | + | 0.780176i | \(0.715129\pi\) | |||||||
\(48\) | 2.70175 | − | 6.37231i | 0.389965 | − | 0.919764i | ||||
\(49\) | 4.24881 | + | 5.56306i | 0.606972 | + | 0.794723i | ||||
\(50\) | −0.0127903 | + | 0.0221535i | −0.00180882 | + | 0.00313298i | ||||
\(51\) | −0.934964 | + | 0.115194i | −0.130921 | + | 0.0161304i | ||||
\(52\) | 5.53870 | − | 9.59330i | 0.768079 | − | 1.33035i | ||||
\(53\) | −4.26510 | − | 7.38738i | −0.585857 | − | 1.01473i | −0.994768 | − | 0.102160i | \(-0.967425\pi\) |
0.408911 | − | 0.912574i | \(-0.365909\pi\) | |||||||
\(54\) | −0.124033 | + | 0.0477896i | −0.0168787 | + | 0.00650334i | ||||
\(55\) | 3.78014 | 0.509713 | ||||||||
\(56\) | 0.242627 | + | 0.119990i | 0.0324224 | + | 0.0160344i | ||||
\(57\) | −7.55358 | − | 10.0153i | −1.00050 | − | 1.32655i | ||||
\(58\) | −0.103570 | − | 0.179389i | −0.0135994 | − | 0.0235549i | ||||
\(59\) | 1.40842 | 0.183360 | 0.0916801 | − | 0.995789i | \(-0.470776\pi\) | ||||
0.0916801 | + | 0.995789i | \(0.470776\pi\) | |||||||
\(60\) | 3.43698 | − | 0.423461i | 0.443712 | − | 0.0546686i | ||||
\(61\) | 1.75402 | 0.224579 | 0.112289 | − | 0.993676i | \(-0.464182\pi\) | ||||
0.112289 | + | 0.993676i | \(0.464182\pi\) | |||||||
\(62\) | 0.0445526 | 0.00565818 | ||||||||
\(63\) | 2.41757 | + | 7.56012i | 0.304585 | + | 0.952485i | ||||
\(64\) | −7.98430 | −0.998037 | ||||||||
\(65\) | 5.54051 | 0.687216 | ||||||||
\(66\) | 0.100851 | + | 0.133719i | 0.0124140 | + | 0.0164596i | ||||
\(67\) | 12.3831 | 1.51284 | 0.756421 | − | 0.654085i | \(-0.226946\pi\) | ||||
0.756421 | + | 0.654085i | \(0.226946\pi\) | |||||||
\(68\) | 0.543705 | + | 0.941725i | 0.0659340 | + | 0.114201i | ||||
\(69\) | −12.4733 | + | 1.53680i | −1.50161 | + | 0.185009i | ||||
\(70\) | 0.00435040 | + | 0.0675400i | 0.000519973 | + | 0.00807258i | ||||
\(71\) | 10.3293 | 1.22587 | 0.612934 | − | 0.790134i | \(-0.289989\pi\) | ||||
0.612934 | + | 0.790134i | \(0.289989\pi\) | |||||||
\(72\) | 0.213387 | + | 0.220600i | 0.0251478 | + | 0.0259980i | ||||
\(73\) | 2.91561 | + | 5.04998i | 0.341246 | + | 0.591055i | 0.984664 | − | 0.174459i | \(-0.0558178\pi\) |
−0.643418 | + | 0.765515i | \(0.722484\pi\) | |||||||
\(74\) | 0.0427814 | − | 0.0740996i | 0.00497324 | − | 0.00861391i | ||||
\(75\) | 1.04295 | + | 1.38284i | 0.120430 | + | 0.159677i | ||||
\(76\) | −7.24015 | + | 12.5403i | −0.830502 | + | 1.43847i | ||||
\(77\) | 8.32203 | − | 5.54705i | 0.948383 | − | 0.632145i | ||||
\(78\) | 0.147817 | + | 0.195990i | 0.0167370 | + | 0.0221915i | ||||
\(79\) | 2.96664 | 0.333773 | 0.166886 | − | 0.985976i | \(-0.446629\pi\) | ||||
0.166886 | + | 0.985976i | \(0.446629\pi\) | |||||||
\(80\) | −1.99804 | − | 3.46070i | −0.223387 | − | 0.386918i | ||||
\(81\) | −0.299114 | + | 8.99503i | −0.0332349 | + | 0.999448i | ||||
\(82\) | 0.00609253 | − | 0.0105526i | 0.000672807 | − | 0.00116534i | ||||
\(83\) | −3.97711 | − | 6.88856i | −0.436544 | − | 0.756117i | 0.560876 | − | 0.827900i | \(-0.310465\pi\) |
−0.997420 | + | 0.0717828i | \(0.977131\pi\) | |||||||
\(84\) | 6.94517 | − | 5.97575i | 0.757780 | − | 0.652008i | ||||
\(85\) | −0.271942 | + | 0.471017i | −0.0294962 | + | 0.0510889i | ||||
\(86\) | −0.00714526 | − | 0.0123760i | −0.000770493 | − | 0.00133453i | ||||
\(87\) | −13.9201 | + | 1.71506i | −1.49239 | + | 0.183874i | ||||
\(88\) | 0.193365 | − | 0.334918i | 0.0206128 | − | 0.0357024i | ||||
\(89\) | −9.02021 | + | 15.6235i | −0.956141 | + | 1.65608i | −0.224405 | + | 0.974496i | \(0.572044\pi\) |
−0.731736 | + | 0.681588i | \(0.761290\pi\) | |||||||
\(90\) | −0.0210915 | + | 0.0737866i | −0.00222324 | + | 0.00777780i | ||||
\(91\) | 12.1975 | − | 8.13026i | 1.27865 | − | 0.852283i | ||||
\(92\) | 7.25354 | + | 12.5635i | 0.756233 | + | 1.30983i | ||||
\(93\) | 1.17754 | − | 2.77731i | 0.122105 | − | 0.287994i | ||||
\(94\) | −0.219411 | −0.0226306 | ||||||||
\(95\) | −7.24252 | −0.743067 | ||||||||
\(96\) | 0.207451 | − | 0.489290i | 0.0211729 | − | 0.0499380i | ||||
\(97\) | −3.81553 | − | 6.60869i | −0.387408 | − | 0.671011i | 0.604692 | − | 0.796460i | \(-0.293296\pi\) |
−0.992100 | + | 0.125449i | \(0.959963\pi\) | |||||||
\(98\) | 0.108687 | + | 0.142307i | 0.0109791 | + | 0.0143751i | ||||
\(99\) | 11.0013 | − | 2.75266i | 1.10567 | − | 0.276652i | ||||
\(100\) | 0.999673 | − | 1.73148i | 0.0999673 | − | 0.173148i | ||||
\(101\) | 1.71240 | − | 2.96596i | 0.170390 | − | 0.295124i | −0.768166 | − | 0.640250i | \(-0.778831\pi\) |
0.938556 | + | 0.345126i | \(0.112164\pi\) | |||||||
\(102\) | −0.0239170 | + | 0.00294674i | −0.00236813 | + | 0.000291771i | ||||
\(103\) | −4.71527 | − | 8.16709i | −0.464610 | − | 0.804728i | 0.534574 | − | 0.845122i | \(-0.320472\pi\) |
−0.999184 | + | 0.0403940i | \(0.987139\pi\) | |||||||
\(104\) | 0.283413 | − | 0.490886i | 0.0277909 | − | 0.0481353i | ||||
\(105\) | 4.32529 | + | 1.51390i | 0.422105 | + | 0.147742i | ||||
\(106\) | −0.109104 | − | 0.188974i | −0.0105971 | − | 0.0183548i | ||||
\(107\) | 0.0944380 | − | 0.163571i | 0.00912967 | − | 0.0158131i | −0.861424 | − | 0.507886i | \(-0.830427\pi\) |
0.870554 | + | 0.492073i | \(0.163761\pi\) | |||||||
\(108\) | 9.69422 | − | 3.73516i | 0.932827 | − | 0.359416i | ||||
\(109\) | 4.40407 | + | 7.62807i | 0.421833 | + | 0.730636i | 0.996119 | − | 0.0880186i | \(-0.0280535\pi\) |
−0.574286 | + | 0.818655i | \(0.694720\pi\) | |||||||
\(110\) | 0.0966983 | 0.00921982 | ||||||||
\(111\) | −3.48849 | − | 4.62538i | −0.331113 | − | 0.439021i | ||||
\(112\) | −9.47702 | − | 4.68683i | −0.895494 | − | 0.442864i | ||||
\(113\) | −5.83704 | + | 10.1101i | −0.549103 | + | 0.951074i | 0.449234 | + | 0.893414i | \(0.351697\pi\) |
−0.998336 | + | 0.0576593i | \(0.981636\pi\) | |||||||
\(114\) | −0.193226 | − | 0.256197i | −0.0180972 | − | 0.0239950i | ||||
\(115\) | −3.62796 | + | 6.28380i | −0.338309 | + | 0.585968i | ||||
\(116\) | 8.09490 | + | 14.0208i | 0.751593 | + | 1.30180i | ||||
\(117\) | 16.1244 | − | 4.03454i | 1.49071 | − | 0.372993i | ||||
\(118\) | 0.0360282 | 0.00331666 | ||||||||
\(119\) | 0.0924962 | + | 1.43600i | 0.00847912 | + | 0.131638i | ||||
\(120\) | 0.175869 | − | 0.0216683i | 0.0160546 | − | 0.00197804i | ||||
\(121\) | −1.64471 | − | 2.84872i | −0.149519 | − | 0.258975i | ||||
\(122\) | 0.0448689 | 0.00406224 | ||||||||
\(123\) | −0.496798 | − | 0.658702i | −0.0447947 | − | 0.0593932i | ||||
\(124\) | −3.48216 | −0.312708 | ||||||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | 0.0618429 | + | 0.193393i | 0.00550940 | + | 0.0172288i | ||||
\(127\) | 1.14668 | 0.101751 | 0.0508756 | − | 0.998705i | \(-0.483799\pi\) | ||||
0.0508756 | + | 0.998705i | \(0.483799\pi\) | |||||||
\(128\) | −0.817911 | −0.0722938 | ||||||||
\(129\) | −0.960342 | + | 0.118321i | −0.0845534 | + | 0.0104176i | ||||
\(130\) | 0.141730 | 0.0124305 | ||||||||
\(131\) | 3.18123 | + | 5.51006i | 0.277946 | + | 0.481416i | 0.970874 | − | 0.239590i | \(-0.0770131\pi\) |
−0.692928 | + | 0.721006i | \(0.743680\pi\) | |||||||
\(132\) | −7.88241 | − | 10.4512i | −0.686075 | − | 0.909664i | ||||
\(133\) | −15.9445 | + | 10.6278i | −1.38257 | + | 0.921550i | ||||
\(134\) | 0.316769 | 0.0273646 | ||||||||
\(135\) | 4.04225 | + | 3.26500i | 0.347902 | + | 0.281006i | ||||
\(136\) | 0.0278212 | + | 0.0481878i | 0.00238565 | + | 0.00413207i | ||||
\(137\) | 4.27981 | − | 7.41285i | 0.365649 | − | 0.633322i | −0.623231 | − | 0.782038i | \(-0.714180\pi\) |
0.988880 | + | 0.148715i | \(0.0475138\pi\) | |||||||
\(138\) | −0.319075 | + | 0.0393123i | −0.0271614 | + | 0.00334649i | ||||
\(139\) | −3.08779 | + | 5.34821i | −0.261903 | + | 0.453630i | −0.966748 | − | 0.255732i | \(-0.917683\pi\) |
0.704844 | + | 0.709362i | \(0.251017\pi\) | |||||||
\(140\) | −0.340021 | − | 5.27883i | −0.0287370 | − | 0.446143i | ||||
\(141\) | −5.79910 | + | 13.6776i | −0.488372 | + | 1.15187i | ||||
\(142\) | 0.264231 | 0.0221738 | ||||||||
\(143\) | −10.4719 | − | 18.1379i | −0.875707 | − | 1.51677i | ||||
\(144\) | −8.33490 | − | 8.61667i | −0.694575 | − | 0.718056i | ||||
\(145\) | −4.04878 | + | 7.01269i | −0.336233 | + | 0.582372i | ||||
\(146\) | 0.0745831 | + | 0.129182i | 0.00617254 | + | 0.0106912i | ||||
\(147\) | 11.7437 | − | 3.01413i | 0.968606 | − | 0.248602i | ||||
\(148\) | −3.34374 | + | 5.79152i | −0.274853 | + | 0.476060i | ||||
\(149\) | −2.34647 | − | 4.06421i | −0.192231 | − | 0.332953i | 0.753758 | − | 0.657152i | \(-0.228239\pi\) |
−0.945989 | + | 0.324198i | \(0.894906\pi\) | |||||||
\(150\) | 0.0266793 | + | 0.0353740i | 0.00217836 | + | 0.00288828i | ||||
\(151\) | 7.80627 | − | 13.5208i | 0.635265 | − | 1.10031i | −0.351194 | − | 0.936303i | \(-0.614224\pi\) |
0.986459 | − | 0.164008i | \(-0.0524424\pi\) | |||||||
\(152\) | −0.370476 | + | 0.641683i | −0.0300496 | + | 0.0520474i | ||||
\(153\) | −0.448437 | + | 1.56882i | −0.0362540 | + | 0.126831i | ||||
\(154\) | 0.212883 | − | 0.141897i | 0.0171546 | − | 0.0114344i | ||||
\(155\) | −0.870826 | − | 1.50832i | −0.0699464 | − | 0.121151i | ||||
\(156\) | −11.5532 | − | 15.3183i | −0.924994 | − | 1.22645i | ||||
\(157\) | −18.5691 | −1.48197 | −0.740986 | − | 0.671520i | \(-0.765642\pi\) | ||||
−0.740986 | + | 0.671520i | \(0.765642\pi\) | |||||||
\(158\) | 0.0758884 | 0.00603736 | ||||||||
\(159\) | −14.6639 | + | 1.80670i | −1.16292 | + | 0.143280i | ||||
\(160\) | −0.153417 | − | 0.265726i | −0.0121287 | − | 0.0210075i | ||||
\(161\) | 1.23399 | + | 19.1576i | 0.0972517 | + | 1.50983i | ||||
\(162\) | −0.00765153 | + | 0.230099i | −0.000601161 | + | 0.0180782i | ||||
\(163\) | −0.655557 | + | 1.13546i | −0.0513472 | + | 0.0889359i | −0.890557 | − | 0.454872i | \(-0.849685\pi\) |
0.839209 | + | 0.543808i | \(0.183018\pi\) | |||||||
\(164\) | −0.476183 | + | 0.824773i | −0.0371836 | + | 0.0644040i | ||||
\(165\) | 2.55576 | − | 6.02797i | 0.198965 | − | 0.469277i | ||||
\(166\) | −0.101737 | − | 0.176214i | −0.00789632 | − | 0.0136768i | ||||
\(167\) | 5.56450 | − | 9.63799i | 0.430594 | − | 0.745810i | −0.566331 | − | 0.824178i | \(-0.691638\pi\) |
0.996925 | + | 0.0783678i | \(0.0249709\pi\) | |||||||
\(168\) | 0.355382 | − | 0.305777i | 0.0274183 | − | 0.0235912i | ||||
\(169\) | −8.84862 | − | 15.3263i | −0.680663 | − | 1.17894i | ||||
\(170\) | −0.00695644 | + | 0.0120489i | −0.000533535 | + | 0.000924109i | ||||
\(171\) | −21.0778 | + | 5.27393i | −1.61186 | + | 0.403307i | ||||
\(172\) | 0.558463 | + | 0.967287i | 0.0425824 | + | 0.0737549i | ||||
\(173\) | −1.42470 | −0.108318 | −0.0541592 | − | 0.998532i | \(-0.517248\pi\) | ||||
−0.0541592 | + | 0.998532i | \(0.517248\pi\) | |||||||
\(174\) | −0.356085 | + | 0.0438723i | −0.0269948 | + | 0.00332595i | ||||
\(175\) | 2.20152 | − | 1.46742i | 0.166419 | − | 0.110927i | ||||
\(176\) | −7.55285 | + | 13.0819i | −0.569318 | + | 0.986087i | ||||
\(177\) | 0.952233 | − | 2.24592i | 0.0715742 | − | 0.168814i | ||||
\(178\) | −0.230743 | + | 0.399658i | −0.0172949 | + | 0.0299557i | ||||
\(179\) | −6.28599 | − | 10.8877i | −0.469837 | − | 0.813782i | 0.529568 | − | 0.848267i | \(-0.322354\pi\) |
−0.999405 | + | 0.0344857i | \(0.989021\pi\) | |||||||
\(180\) | 1.64848 | − | 5.76706i | 0.122871 | − | 0.429851i | ||||
\(181\) | −14.1730 | −1.05347 | −0.526735 | − | 0.850029i | \(-0.676584\pi\) | ||||
−0.526735 | + | 0.850029i | \(0.676584\pi\) | |||||||
\(182\) | 0.312020 | − | 0.207977i | 0.0231285 | − | 0.0154163i | ||||
\(183\) | 1.18589 | − | 2.79703i | 0.0876639 | − | 0.206762i | ||||
\(184\) | 0.371161 | + | 0.642869i | 0.0273623 | + | 0.0473930i | ||||
\(185\) | −3.34483 | −0.245917 | ||||||||
\(186\) | 0.0301221 | − | 0.0710454i | 0.00220866 | − | 0.00520930i | ||||
\(187\) | 2.05595 | 0.150346 | ||||||||
\(188\) | 17.1489 | 1.25071 | ||||||||
\(189\) | 13.6902 | + | 1.25626i | 0.995816 | + | 0.0913794i | ||||
\(190\) | −0.185268 | −0.0134408 | ||||||||
\(191\) | 10.1805 | 0.736632 | 0.368316 | − | 0.929701i | \(-0.379934\pi\) | ||||
0.368316 | + | 0.929701i | \(0.379934\pi\) | |||||||
\(192\) | −5.39820 | + | 12.7321i | −0.389582 | + | 0.918861i | ||||
\(193\) | −6.85150 | −0.493182 | −0.246591 | − | 0.969120i | \(-0.579310\pi\) | ||||
−0.246591 | + | 0.969120i | \(0.579310\pi\) | |||||||
\(194\) | −0.0976037 | − | 0.169055i | −0.00700754 | − | 0.0121374i | ||||
\(195\) | 3.74595 | − | 8.83513i | 0.268253 | − | 0.632697i | ||||
\(196\) | −8.49483 | − | 11.1225i | −0.606774 | − | 0.794463i | ||||
\(197\) | −20.0167 | −1.42613 | −0.713065 | − | 0.701098i | \(-0.752693\pi\) | ||||
−0.713065 | + | 0.701098i | \(0.752693\pi\) | |||||||
\(198\) | 0.281419 | − | 0.0704147i | 0.0199996 | − | 0.00500415i | ||||
\(199\) | 6.47405 | + | 11.2134i | 0.458933 | + | 0.794896i | 0.998905 | − | 0.0467876i | \(-0.0148984\pi\) |
−0.539972 | + | 0.841683i | \(0.681565\pi\) | |||||||
\(200\) | 0.0511529 | − | 0.0885994i | 0.00361706 | − | 0.00626493i | ||||
\(201\) | 8.37227 | − | 19.7467i | 0.590534 | − | 1.39282i | ||||
\(202\) | 0.0438042 | − | 0.0758711i | 0.00308205 | − | 0.00533827i | ||||
\(203\) | 1.37712 | + | 21.3798i | 0.0966549 | + | 1.50057i | ||||
\(204\) | 1.86932 | − | 0.230313i | 0.130878 | − | 0.0161252i | ||||
\(205\) | −0.476339 | −0.0332689 | ||||||||
\(206\) | −0.120620 | − | 0.208919i | −0.00840397 | − | 0.0145561i | ||||
\(207\) | −5.98257 | + | 20.9295i | −0.415817 | + | 1.45470i | ||||
\(208\) | −11.0701 | + | 19.1740i | −0.767576 | + | 1.32948i | ||||
\(209\) | 13.6888 | + | 23.7098i | 0.946878 | + | 1.64004i | ||||
\(210\) | 0.110644 | + | 0.0387266i | 0.00763513 | + | 0.00267239i | ||||
\(211\) | 6.43285 | − | 11.1420i | 0.442856 | − | 0.767048i | −0.555045 | − | 0.831821i | \(-0.687299\pi\) |
0.997900 | + | 0.0647723i | \(0.0206321\pi\) | |||||||
\(212\) | 8.52742 | + | 14.7699i | 0.585666 | + | 1.01440i | ||||
\(213\) | 6.98369 | − | 16.4716i | 0.478515 | − | 1.12862i | ||||
\(214\) | 0.00241579 | − | 0.00418426i | 0.000165140 | − | 0.000286030i | ||||
\(215\) | −0.279323 | + | 0.483802i | −0.0190497 | + | 0.0329950i | ||||
\(216\) | 0.496050 | − | 0.191127i | 0.0337519 | − | 0.0130045i | ||||
\(217\) | −4.13047 | − | 2.04271i | −0.280395 | − | 0.138668i | ||||
\(218\) | 0.112659 | + | 0.195131i | 0.00763022 | + | 0.0132159i | ||||
\(219\) | 10.0242 | − | 1.23505i | 0.677370 | − | 0.0834569i | ||||
\(220\) | −7.55780 | −0.509547 | ||||||||
\(221\) | 3.01339 | 0.202703 | ||||||||
\(222\) | −0.0892378 | − | 0.118320i | −0.00598925 | − | 0.00794112i | ||||
\(223\) | 6.20544 | + | 10.7481i | 0.415547 | + | 0.719749i | 0.995486 | − | 0.0949115i | \(-0.0302568\pi\) |
−0.579939 | + | 0.814660i | \(0.696923\pi\) | |||||||
\(224\) | −0.727682 | − | 0.359872i | −0.0486203 | − | 0.0240450i | ||||
\(225\) | 2.91028 | − | 0.728190i | 0.194019 | − | 0.0485460i | ||||
\(226\) | −0.149315 | + | 0.258622i | −0.00993230 | + | 0.0172032i | ||||
\(227\) | −4.43111 | + | 7.67490i | −0.294103 | + | 0.509401i | −0.974776 | − | 0.223186i | \(-0.928354\pi\) |
0.680673 | + | 0.732587i | \(0.261687\pi\) | |||||||
\(228\) | 15.1022 | + | 20.0240i | 1.00017 | + | 1.32612i | ||||
\(229\) | −13.1585 | − | 22.7911i | −0.869536 | − | 1.50608i | −0.862471 | − | 0.506106i | \(-0.831085\pi\) |
−0.00706468 | − | 0.999975i | \(-0.502249\pi\) | |||||||
\(230\) | −0.0928054 | + | 0.160744i | −0.00611941 | + | 0.0105991i | ||||
\(231\) | −3.21902 | − | 17.0210i | −0.211796 | − | 1.11990i | ||||
\(232\) | 0.414213 | + | 0.717438i | 0.0271944 | + | 0.0471021i | ||||
\(233\) | 13.0236 | − | 22.5576i | 0.853208 | − | 1.47780i | −0.0250903 | − | 0.999685i | \(-0.507987\pi\) |
0.878298 | − | 0.478114i | \(-0.158679\pi\) | |||||||
\(234\) | 0.412473 | − | 0.103206i | 0.0269642 | − | 0.00674680i | ||||
\(235\) | 4.28862 | + | 7.42811i | 0.279759 | + | 0.484557i | ||||
\(236\) | −2.81591 | −0.183300 | ||||||||
\(237\) | 2.00575 | − | 4.73073i | 0.130287 | − | 0.307294i | ||||
\(238\) | 0.00236611 | + | 0.0367339i | 0.000153372 | + | 0.00238111i | ||||
\(239\) | 9.50084 | − | 16.4559i | 0.614558 | − | 1.06445i | −0.375904 | − | 0.926659i | \(-0.622668\pi\) |
0.990462 | − | 0.137787i | \(-0.0439990\pi\) | |||||||
\(240\) | −6.86946 | + | 0.846367i | −0.443422 | + | 0.0546328i | ||||
\(241\) | 7.14145 | − | 12.3693i | 0.460021 | − | 0.796780i | −0.538940 | − | 0.842344i | \(-0.681175\pi\) |
0.998961 | + | 0.0455641i | \(0.0145085\pi\) | |||||||
\(242\) | −0.0420728 | − | 0.0728722i | −0.00270454 | − | 0.00468440i | ||||
\(243\) | 14.1416 | + | 6.55854i | 0.907186 | + | 0.420730i | ||||
\(244\) | −3.50689 | −0.224505 | ||||||||
\(245\) | 2.69335 | − | 6.46111i | 0.172072 | − | 0.412785i | ||||
\(246\) | −0.0127084 | − | 0.0168500i | −0.000810258 | − | 0.00107432i | ||||
\(247\) | 20.0636 | + | 34.7512i | 1.27662 | + | 2.21117i | ||||
\(248\) | −0.178181 | −0.0113145 | ||||||||
\(249\) | −13.6737 | + | 1.68470i | −0.866537 | + | 0.106764i | ||||
\(250\) | 0.0255806 | 0.00161786 | ||||||||
\(251\) | −2.23618 | −0.141146 | −0.0705731 | − | 0.997507i | \(-0.522483\pi\) | ||||
−0.0705731 | + | 0.997507i | \(0.522483\pi\) | |||||||
\(252\) | −4.83355 | − | 15.1153i | −0.304485 | − | 0.952174i | ||||
\(253\) | 27.4283 | 1.72440 | ||||||||
\(254\) | 0.0293327 | 0.00184050 | ||||||||
\(255\) | 0.567243 | + | 0.752105i | 0.0355221 | + | 0.0470987i | ||||
\(256\) | 15.9477 | 0.996730 | ||||||||
\(257\) | 7.88236 | + | 13.6527i | 0.491688 | + | 0.851629i | 0.999954 | − | 0.00957101i | \(-0.00304659\pi\) |
−0.508266 | + | 0.861200i | \(0.669713\pi\) | |||||||
\(258\) | −0.0245662 | + | 0.00302673i | −0.00152942 | + | 0.000188436i | ||||
\(259\) | −7.36370 | + | 4.90828i | −0.457558 | + | 0.304985i | ||||
\(260\) | −11.0774 | −0.686991 | ||||||||
\(261\) | −6.67651 | + | 23.3572i | −0.413266 | + | 1.44577i | ||||
\(262\) | 0.0813780 | + | 0.140951i | 0.00502755 | + | 0.00870797i | ||||
\(263\) | 6.38973 | − | 11.0673i | 0.394008 | − | 0.682441i | −0.598966 | − | 0.800774i | \(-0.704422\pi\) |
0.992974 | + | 0.118333i | \(0.0377550\pi\) | |||||||
\(264\) | −0.403340 | − | 0.534787i | −0.0248239 | − | 0.0329138i | ||||
\(265\) | −4.26510 | + | 7.38738i | −0.262003 | + | 0.453803i | ||||
\(266\) | −0.407871 | + | 0.271867i | −0.0250082 | + | 0.0166692i | ||||
\(267\) | 18.8153 | + | 24.9471i | 1.15148 | + | 1.52674i | ||||
\(268\) | −24.7582 | −1.51235 | ||||||||
\(269\) | 9.82818 | + | 17.0229i | 0.599235 | + | 1.03790i | 0.992934 | + | 0.118666i | \(0.0378617\pi\) |
−0.393700 | + | 0.919239i | \(0.628805\pi\) | |||||||
\(270\) | 0.103403 | + | 0.0835207i | 0.00629293 | + | 0.00508291i | ||||
\(271\) | −1.02524 | + | 1.77577i | −0.0622791 | + | 0.107871i | −0.895484 | − | 0.445094i | \(-0.853170\pi\) |
0.833205 | + | 0.552965i | \(0.186504\pi\) | |||||||
\(272\) | −1.08670 | − | 1.88222i | −0.0658908 | − | 0.114126i | ||||
\(273\) | −4.71809 | − | 24.9476i | −0.285552 | − | 1.50990i | ||||
\(274\) | 0.109480 | − | 0.189625i | 0.00661394 | − | 0.0114557i | ||||
\(275\) | −1.89007 | − | 3.27369i | −0.113975 | − | 0.197411i | ||||
\(276\) | 24.9384 | − | 3.07259i | 1.50112 | − | 0.184948i | ||||
\(277\) | −3.21007 | + | 5.56000i | −0.192874 | + | 0.334068i | −0.946202 | − | 0.323578i | \(-0.895114\pi\) |
0.753327 | + | 0.657646i | \(0.228448\pi\) | |||||||
\(278\) | −0.0789877 | + | 0.136811i | −0.00473737 | + | 0.00820536i | ||||
\(279\) | −3.63269 | − | 3.75550i | −0.217483 | − | 0.224836i | ||||
\(280\) | −0.0173988 | − | 0.270116i | −0.00103978 | − | 0.0161425i | ||||
\(281\) | −15.3102 | − | 26.5180i | −0.913327 | − | 1.58193i | −0.809332 | − | 0.587351i | \(-0.800171\pi\) |
−0.103995 | − | 0.994578i | \(-0.533163\pi\) | |||||||
\(282\) | −0.148345 | + | 0.349883i | −0.00883379 | + | 0.0208352i | ||||
\(283\) | 9.72939 | 0.578352 | 0.289176 | − | 0.957276i | \(-0.406619\pi\) | ||||
0.289176 | + | 0.957276i | \(0.406619\pi\) | |||||||
\(284\) | −20.6519 | −1.22547 | ||||||||
\(285\) | −4.89668 | + | 11.5492i | −0.290054 | + | 0.684117i | ||||
\(286\) | −0.267879 | − | 0.463980i | −0.0158400 | − | 0.0274357i | ||||
\(287\) | −1.04867 | + | 0.698990i | −0.0619009 | + | 0.0412601i | ||||
\(288\) | −0.639985 | − | 0.661620i | −0.0377115 | − | 0.0389864i | ||||
\(289\) | 8.35210 | − | 14.4663i | 0.491300 | − | 0.850956i | ||||
\(290\) | −0.103570 | + | 0.179389i | −0.00608185 | + | 0.0105341i | ||||
\(291\) | −13.1182 | + | 1.61626i | −0.769002 | + | 0.0947466i | ||||
\(292\) | −5.82931 | − | 10.0967i | −0.341134 | − | 0.590862i | ||||
\(293\) | −5.32802 | + | 9.22840i | −0.311266 | + | 0.539129i | −0.978637 | − | 0.205597i | \(-0.934086\pi\) |
0.667371 | + | 0.744726i | \(0.267420\pi\) | |||||||
\(294\) | 0.300412 | − | 0.0771034i | 0.0175204 | − | 0.00449676i | ||||
\(295\) | −0.704208 | − | 1.21972i | −0.0410006 | − | 0.0710151i | ||||
\(296\) | −0.171098 | + | 0.296350i | −0.00994486 | + | 0.0172250i | ||||
\(297\) | 3.04847 | − | 19.4042i | 0.176890 | − | 1.12594i | ||||
\(298\) | −0.0600243 | − | 0.103965i | −0.00347712 | − | 0.00602254i | ||||
\(299\) | 40.2014 | 2.32491 | ||||||||
\(300\) | −2.08522 | − | 2.76478i | −0.120390 | − | 0.159625i | ||||
\(301\) | 0.0950069 | + | 1.47498i | 0.00547611 | + | 0.0850166i | ||||
\(302\) | 0.199689 | − | 0.345872i | 0.0114908 | − | 0.0199027i | ||||
\(303\) | −3.57189 | − | 4.73595i | −0.205200 | − | 0.272073i | ||||
\(304\) | 14.4708 | − | 25.0642i | 0.829958 | − | 1.43753i | ||||
\(305\) | −0.877009 | − | 1.51902i | −0.0502174 | − | 0.0869790i | ||||
\(306\) | −0.0114713 | + | 0.0401313i | −0.000655771 | + | 0.00229416i | ||||
\(307\) | 3.58038 | 0.204343 | 0.102171 | − | 0.994767i | \(-0.467421\pi\) | ||||
0.102171 | + | 0.994767i | \(0.467421\pi\) | |||||||
\(308\) | −16.6386 | + | 11.0905i | −0.948073 | + | 0.631938i | ||||
\(309\) | −16.2116 | + | 1.99739i | −0.922246 | + | 0.113627i | ||||
\(310\) | −0.0222763 | − | 0.0385837i | −0.00126521 | − | 0.00219140i | ||||
\(311\) | 16.3157 | 0.925180 | 0.462590 | − | 0.886572i | \(-0.346920\pi\) | ||||
0.462590 | + | 0.886572i | \(0.346920\pi\) | |||||||
\(312\) | −0.591171 | − | 0.783832i | −0.0334685 | − | 0.0443757i | ||||
\(313\) | −6.87643 | −0.388679 | −0.194339 | − | 0.980934i | \(-0.562256\pi\) | ||||
−0.194339 | + | 0.980934i | \(0.562256\pi\) | |||||||
\(314\) | −0.475008 | −0.0268063 | ||||||||
\(315\) | 5.33847 | − | 5.87373i | 0.300789 | − | 0.330947i | ||||
\(316\) | −5.93133 | −0.333663 | ||||||||
\(317\) | −19.9474 | −1.12036 | −0.560178 | − | 0.828372i | \(-0.689267\pi\) | ||||
−0.560178 | + | 0.828372i | \(0.689267\pi\) | |||||||
\(318\) | −0.375111 | + | 0.0462164i | −0.0210352 | + | 0.00259169i | ||||
\(319\) | 30.6098 | 1.71382 | ||||||||
\(320\) | 3.99215 | + | 6.91461i | 0.223168 | + | 0.386538i | ||||
\(321\) | −0.196988 | − | 0.261186i | −0.0109948 | − | 0.0145780i | ||||
\(322\) | 0.0315661 | + | 0.490064i | 0.00175911 | + | 0.0273102i | ||||
\(323\) | −3.93908 | −0.219177 | ||||||||
\(324\) | 0.598032 | − | 17.9842i | 0.0332240 | − | 0.999121i | ||||
\(325\) | −2.77025 | − | 4.79822i | −0.153666 | − | 0.266157i | ||||
\(326\) | −0.0167696 | + | 0.0290457i | −0.000928780 | + | 0.00160869i | ||||
\(327\) | 15.1416 | − | 1.86556i | 0.837335 | − | 0.103166i | ||||
\(328\) | −0.0243661 | + | 0.0422033i | −0.00134539 | + | 0.00233029i | ||||
\(329\) | 20.3416 | + | 10.0599i | 1.12147 | + | 0.554620i | ||||
\(330\) | 0.0653779 | − | 0.154199i | 0.00359894 | − | 0.00848839i | ||||
\(331\) | −10.8613 | −0.596991 | −0.298495 | − | 0.954411i | \(-0.596485\pi\) | ||||
−0.298495 | + | 0.954411i | \(0.596485\pi\) | |||||||
\(332\) | 7.95162 | + | 13.7726i | 0.436402 | + | 0.755870i | ||||
\(333\) | −9.73440 | + | 2.43567i | −0.533442 | + | 0.133474i | ||||
\(334\) | 0.142343 | − | 0.246546i | 0.00778868 | − | 0.0134904i | ||||
\(335\) | −6.19157 | − | 10.7241i | −0.338282 | − | 0.585921i | ||||
\(336\) | −13.8813 | + | 11.9437i | −0.757284 | + | 0.651582i | ||||
\(337\) | −0.137238 | + | 0.237703i | −0.00747582 | + | 0.0129485i | −0.869739 | − | 0.493512i | \(-0.835713\pi\) |
0.862263 | + | 0.506460i | \(0.169046\pi\) | |||||||
\(338\) | −0.226353 | − | 0.392055i | −0.0123120 | − | 0.0213250i | ||||
\(339\) | 12.1755 | + | 16.1434i | 0.661282 | + | 0.876790i | ||||
\(340\) | 0.543705 | − | 0.941725i | 0.0294866 | − | 0.0510722i | ||||
\(341\) | −3.29184 | + | 5.70164i | −0.178263 | + | 0.308761i | ||||
\(342\) | −0.539183 | + | 0.134910i | −0.0291557 | + | 0.00729512i | ||||
\(343\) | −3.55172 | − | 18.1765i | −0.191775 | − | 0.981439i | ||||
\(344\) | 0.0285764 | + | 0.0494957i | 0.00154073 | + | 0.00266863i | ||||
\(345\) | 7.56755 | + | 10.0338i | 0.407423 | + | 0.540201i | ||||
\(346\) | −0.0364449 | −0.00195929 | ||||||||
\(347\) | 3.78826 | 0.203365 | 0.101682 | − | 0.994817i | \(-0.467577\pi\) | ||||
0.101682 | + | 0.994817i | \(0.467577\pi\) | |||||||
\(348\) | 27.8311 | − | 3.42900i | 1.49190 | − | 0.183813i | ||||
\(349\) | 14.3243 | + | 24.8104i | 0.766763 | + | 1.32807i | 0.939310 | + | 0.343070i | \(0.111467\pi\) |
−0.172547 | + | 0.985001i | \(0.555200\pi\) | |||||||
\(350\) | 0.0563162 | − | 0.0375376i | 0.00301023 | − | 0.00200647i | ||||
\(351\) | 4.46812 | − | 28.4405i | 0.238491 | − | 1.51804i | ||||
\(352\) | −0.579937 | + | 1.00448i | −0.0309107 | + | 0.0535389i | ||||
\(353\) | −2.15744 | + | 3.73679i | −0.114829 | + | 0.198889i | −0.917711 | − | 0.397248i | \(-0.869965\pi\) |
0.802883 | + | 0.596137i | \(0.203299\pi\) | |||||||
\(354\) | 0.0243587 | − | 0.0574521i | 0.00129465 | − | 0.00305354i | ||||
\(355\) | −5.16467 | − | 8.94548i | −0.274112 | − | 0.474777i | ||||
\(356\) | 18.0345 | − | 31.2367i | 0.955828 | − | 1.65554i | ||||
\(357\) | 2.35245 | + | 0.823387i | 0.124505 | + | 0.0435783i | ||||
\(358\) | −0.160800 | − | 0.278513i | −0.00849853 | − | 0.0147199i | ||||
\(359\) | −13.5903 | + | 23.5390i | −0.717267 | + | 1.24234i | 0.244811 | + | 0.969571i | \(0.421274\pi\) |
−0.962079 | + | 0.272772i | \(0.912059\pi\) | |||||||
\(360\) | 0.0843522 | − | 0.295098i | 0.00444575 | − | 0.0155530i | ||||
\(361\) | −16.7270 | − | 28.9721i | −0.880370 | − | 1.52485i | ||||
\(362\) | −0.362554 | −0.0190554 | ||||||||
\(363\) | −5.65469 | + | 0.696699i | −0.296794 | + | 0.0365672i | ||||
\(364\) | −24.3871 | + | 16.2552i | −1.27823 | + | 0.852004i | ||||
\(365\) | 2.91561 | − | 5.04998i | 0.152610 | − | 0.264328i | ||||
\(366\) | 0.0303359 | − | 0.0715498i | 0.00158569 | − | 0.00373997i | ||||
\(367\) | −6.00761 | + | 10.4055i | −0.313595 | + | 0.543162i | −0.979138 | − | 0.203197i | \(-0.934867\pi\) |
0.665543 | + | 0.746359i | \(0.268200\pi\) | |||||||
\(368\) | −14.4976 | − | 25.1105i | −0.755738 | − | 1.30898i | ||||
\(369\) | −1.38628 | + | 0.346865i | −0.0721669 | + | 0.0180571i | ||||
\(370\) | −0.0855629 | −0.00444820 | ||||||||
\(371\) | 1.45070 | + | 22.5221i | 0.0753167 | + | 1.16929i | ||||
\(372\) | −2.35430 | + | 5.55281i | −0.122065 | + | 0.287900i | ||||
\(373\) | 4.34193 | + | 7.52044i | 0.224816 | + | 0.389394i | 0.956264 | − | 0.292504i | \(-0.0944884\pi\) |
−0.731448 | + | 0.681897i | \(0.761155\pi\) | |||||||
\(374\) | 0.0525926 | 0.00271950 | ||||||||
\(375\) | 0.676102 | − | 1.59464i | 0.0349138 | − | 0.0823470i | ||||
\(376\) | 0.877502 | 0.0452537 | ||||||||
\(377\) | 44.8646 | 2.31064 | ||||||||
\(378\) | 0.350204 | + | 0.0321359i | 0.0180126 | + | 0.00165289i | ||||
\(379\) | 12.7019 | 0.652454 | 0.326227 | − | 0.945291i | \(-0.394223\pi\) | ||||
0.326227 | + | 0.945291i | \(0.394223\pi\) | |||||||
\(380\) | 14.4803 | 0.742824 | ||||||||
\(381\) | 0.775271 | − | 1.82854i | 0.0397183 | − | 0.0936790i | ||||
\(382\) | 0.260423 | 0.0133244 | ||||||||
\(383\) | −12.5605 | − | 21.7554i | −0.641812 | − | 1.11165i | −0.985028 | − | 0.172394i | \(-0.944850\pi\) |
0.343216 | − | 0.939256i | \(-0.388484\pi\) | |||||||
\(384\) | −0.552991 | + | 1.30428i | −0.0282197 | + | 0.0665585i | ||||
\(385\) | −8.96490 | − | 4.43356i | −0.456894 | − | 0.225955i | ||||
\(386\) | −0.175266 | −0.00892079 | ||||||||
\(387\) | −0.460609 | + | 1.61140i | −0.0234141 | + | 0.0819120i | ||||
\(388\) | 7.62856 | + | 13.2131i | 0.387282 | + | 0.670791i | ||||
\(389\) | −9.57121 | + | 16.5778i | −0.485280 | + | 0.840529i | −0.999857 | − | 0.0169151i | \(-0.994615\pi\) |
0.514577 | + | 0.857444i | \(0.327949\pi\) | |||||||
\(390\) | 0.0958238 | − | 0.226008i | 0.00485223 | − | 0.0114444i | ||||
\(391\) | −1.97318 | + | 3.41766i | −0.0997882 | + | 0.172838i | ||||
\(392\) | −0.434678 | − | 0.569133i | −0.0219545 | − | 0.0287456i | ||||
\(393\) | 10.9374 | − | 1.34757i | 0.551720 | − | 0.0679759i | ||||
\(394\) | −0.512039 | −0.0257962 | ||||||||
\(395\) | −1.48332 | − | 2.56918i | −0.0746338 | − | 0.129270i | ||||
\(396\) | −21.9953 | + | 5.50351i | −1.10531 | + | 0.276562i | ||||
\(397\) | −1.80451 | + | 3.12551i | −0.0905659 | + | 0.156865i | −0.907749 | − | 0.419513i | \(-0.862201\pi\) |
0.817184 | + | 0.576378i | \(0.195534\pi\) | |||||||
\(398\) | 0.165610 | + | 0.286845i | 0.00830129 | + | 0.0143783i | ||||
\(399\) | 6.16746 | + | 32.6113i | 0.308759 | + | 1.63261i | ||||
\(400\) | −1.99804 | + | 3.46070i | −0.0999019 | + | 0.173035i | ||||
\(401\) | −1.68008 | − | 2.90998i | −0.0838989 | − | 0.145317i | 0.821023 | − | 0.570896i | \(-0.193404\pi\) |
−0.904922 | + | 0.425579i | \(0.860071\pi\) | |||||||
\(402\) | 0.214168 | − | 0.505133i | 0.0106817 | − | 0.0251937i | ||||
\(403\) | −4.82482 | + | 8.35683i | −0.240341 | + | 0.416284i | ||||
\(404\) | −3.42367 | + | 5.92998i | −0.170334 | + | 0.295027i | ||||
\(405\) | 7.93948 | − | 4.23847i | 0.394516 | − | 0.210611i | ||||
\(406\) | 0.0352276 | + | 0.546909i | 0.00174832 | + | 0.0271426i | ||||
\(407\) | 6.32196 | + | 10.9499i | 0.313368 | + | 0.542769i | ||||
\(408\) | 0.0956522 | − | 0.0117850i | 0.00473549 | − | 0.000583447i | ||||
\(409\) | 2.38228 | 0.117796 | 0.0588980 | − | 0.998264i | \(-0.481241\pi\) | ||||
0.0588980 | + | 0.998264i | \(0.481241\pi\) | |||||||
\(410\) | −0.0121851 | −0.000601777 | ||||||||
\(411\) | −8.92725 | − | 11.8366i | −0.440349 | − | 0.583857i | ||||
\(412\) | 9.42746 | + | 16.3288i | 0.464458 | + | 0.804464i | ||||
\(413\) | −3.34017 | − | 1.65187i | −0.164359 | − | 0.0812833i | ||||
\(414\) | −0.153038 | + | 0.535389i | −0.00752141 | + | 0.0263129i | ||||
\(415\) | −3.97711 | + | 6.88856i | −0.195229 | + | 0.338146i | ||||
\(416\) | −0.850008 | + | 1.47226i | −0.0416750 | + | 0.0721833i | ||||
\(417\) | 6.44083 | + | 8.53987i | 0.315409 | + | 0.418199i | ||||
\(418\) | 0.350169 | + | 0.606511i | 0.0171273 | + | 0.0296654i | ||||
\(419\) | −1.56715 | + | 2.71438i | −0.0765602 | + | 0.132606i | −0.901764 | − | 0.432229i | \(-0.857727\pi\) |
0.825203 | + | 0.564836i | \(0.191060\pi\) | |||||||
\(420\) | −8.64774 | − | 3.02682i | −0.421967 | − | 0.147694i | ||||
\(421\) | 6.68047 | + | 11.5709i | 0.325586 | + | 0.563932i | 0.981631 | − | 0.190790i | \(-0.0611050\pi\) |
−0.656044 | + | 0.754722i | \(0.727772\pi\) | |||||||
\(422\) | 0.164556 | − | 0.285020i | 0.00801048 | − | 0.0138746i | ||||
\(423\) | 17.8902 | + | 18.4950i | 0.869850 | + | 0.899256i | ||||
\(424\) | 0.436345 | + | 0.755772i | 0.0211908 | + | 0.0367035i | ||||
\(425\) | 0.543883 | 0.0263822 | ||||||||
\(426\) | 0.178647 | − | 0.421354i | 0.00865549 | − | 0.0204147i | ||||
\(427\) | −4.15980 | − | 2.05721i | −0.201307 | − | 0.0995555i | ||||
\(428\) | −0.188814 | + | 0.327036i | −0.00912668 | + | 0.0158079i | ||||
\(429\) | −36.0036 | + | 4.43591i | −1.73827 | + | 0.214168i | ||||
\(430\) | −0.00714526 | + | 0.0123760i | −0.000344575 | + | 0.000596822i | ||||
\(431\) | −11.9751 | − | 20.7415i | −0.576821 | − | 0.999082i | −0.995841 | − | 0.0911058i | \(-0.970960\pi\) |
0.419021 | − | 0.907977i | \(-0.362373\pi\) | |||||||
\(432\) | −19.3758 | + | 7.46544i | −0.932216 | + | 0.359181i | ||||
\(433\) | −15.3737 | −0.738813 | −0.369406 | − | 0.929268i | \(-0.620439\pi\) | ||||
−0.369406 | + | 0.929268i | \(0.620439\pi\) | |||||||
\(434\) | −0.105660 | − | 0.0522539i | −0.00507185 | − | 0.00250827i | ||||
\(435\) | 8.44534 | + | 11.1976i | 0.404923 | + | 0.536886i | ||||
\(436\) | −8.80525 | − | 15.2511i | −0.421695 | − | 0.730397i | ||||
\(437\) | −52.5511 | −2.51386 | ||||||||
\(438\) | 0.256424 | − | 0.0315933i | 0.0122524 | − | 0.00150959i | ||||
\(439\) | 8.50008 | 0.405687 | 0.202843 | − | 0.979211i | \(-0.434982\pi\) | ||||
0.202843 | + | 0.979211i | \(0.434982\pi\) | |||||||
\(440\) | −0.386730 | −0.0184366 | ||||||||
\(441\) | 3.13349 | − | 20.7649i | 0.149214 | − | 0.988805i | ||||
\(442\) | 0.0770844 | 0.00366653 | ||||||||
\(443\) | −30.9324 | −1.46964 | −0.734822 | − | 0.678260i | \(-0.762734\pi\) | ||||
−0.734822 | + | 0.678260i | \(0.762734\pi\) | |||||||
\(444\) | 6.97470 | + | 9.24773i | 0.331005 | + | 0.438878i | ||||
\(445\) | 18.0404 | 0.855198 | ||||||||
\(446\) | 0.158739 | + | 0.274944i | 0.00751652 | + | 0.0130190i | ||||
\(447\) | −8.06743 | + | 0.993965i | −0.381576 | + | 0.0470129i | ||||
\(448\) | 18.9354 | + | 9.36445i | 0.894615 | + | 0.442429i | ||||
\(449\) | 4.23659 | 0.199937 | 0.0999686 | − | 0.994991i | \(-0.468126\pi\) | ||||
0.0999686 | + | 0.994991i | \(0.468126\pi\) | |||||||
\(450\) | 0.0744469 | − | 0.0186276i | 0.00350946 | − | 0.000878111i | ||||
\(451\) | 0.900313 | + | 1.55939i | 0.0423941 | + | 0.0734287i | ||||
\(452\) | 11.6703 | − | 20.2135i | 0.548923 | − | 0.950762i | ||||
\(453\) | −16.2831 | − | 21.5897i | −0.765046 | − | 1.01437i | ||||
\(454\) | −0.113350 | + | 0.196329i | −0.00531980 | + | 0.00921417i | ||||
\(455\) | −13.1398 | − | 6.49823i | −0.616002 | − | 0.304642i | ||||
\(456\) | 0.772776 | + | 1.02462i | 0.0361885 | + | 0.0479822i | ||||
\(457\) | 39.3982 | 1.84297 | 0.921485 | − | 0.388414i | \(-0.126977\pi\) | ||||
0.921485 | + | 0.388414i | \(0.126977\pi\) | |||||||
\(458\) | −0.336602 | − | 0.583012i | −0.0157284 | − | 0.0272424i | ||||
\(459\) | 2.19851 | + | 1.77578i | 0.102618 | + | 0.0828862i | ||||
\(460\) | 7.25354 | − | 12.5635i | 0.338198 | − | 0.585776i | ||||
\(461\) | −2.86184 | − | 4.95686i | −0.133289 | − | 0.230864i | 0.791653 | − | 0.610971i | \(-0.209221\pi\) |
−0.924943 | + | 0.380107i | \(0.875887\pi\) | |||||||
\(462\) | −0.0823447 | − | 0.435409i | −0.00383102 | − | 0.0202571i | ||||
\(463\) | 9.45324 | − | 16.3735i | 0.439329 | − | 0.760941i | −0.558309 | − | 0.829633i | \(-0.688549\pi\) |
0.997638 | + | 0.0686927i | \(0.0218828\pi\) | |||||||
\(464\) | −16.1792 | − | 28.0232i | −0.751101 | − | 1.30094i | ||||
\(465\) | −2.99399 | + | 0.368881i | −0.138843 | + | 0.0171065i | ||||
\(466\) | 0.333153 | − | 0.577038i | 0.0154330 | − | 0.0267308i | ||||
\(467\) | 11.2057 | − | 19.4088i | 0.518536 | − | 0.898131i | −0.481232 | − | 0.876593i | \(-0.659810\pi\) |
0.999768 | − | 0.0215379i | \(-0.00685627\pi\) | |||||||
\(468\) | −32.2383 | + | 8.06644i | −1.49022 | + | 0.372871i | ||||
\(469\) | −29.3676 | − | 14.5237i | −1.35607 | − | 0.670641i | ||||
\(470\) | 0.109706 | + | 0.190016i | 0.00506035 | + | 0.00876478i | ||||
\(471\) | −12.5546 | + | 29.6110i | −0.578485 | + | 1.36440i | ||||
\(472\) | −0.144089 | −0.00663224 | ||||||||
\(473\) | 2.11176 | 0.0970987 | ||||||||
\(474\) | 0.0513083 | − | 0.121015i | 0.00235667 | − | 0.00555840i | ||||
\(475\) | 3.62126 | + | 6.27220i | 0.166155 | + | 0.287788i | ||||
\(476\) | −0.184932 | − | 2.87107i | −0.00847634 | − | 0.131595i | ||||
\(477\) | −7.03324 | + | 24.6052i | −0.322030 | + | 1.12659i | ||||
\(478\) | 0.243038 | − | 0.420953i | 0.0111163 | − | 0.0192540i | ||||
\(479\) | 15.0652 | − | 26.0938i | 0.688349 | − | 1.19226i | −0.284023 | − | 0.958817i | \(-0.591669\pi\) |
0.972372 | − | 0.233438i | \(-0.0749975\pi\) | |||||||
\(480\) | −0.527463 | + | 0.0649873i | −0.0240753 | + | 0.00296625i | ||||
\(481\) | 9.26603 | + | 16.0492i | 0.422495 | + | 0.731782i | ||||
\(482\) | 0.182683 | − | 0.316416i | 0.00832097 | − | 0.0144123i | ||||
\(483\) | 31.3839 | + | 10.9848i | 1.42802 | + | 0.499824i | ||||
\(484\) | 3.28835 | + | 5.69559i | 0.149470 | + | 0.258890i | ||||
\(485\) | −3.81553 | + | 6.60869i | −0.173254 | + | 0.300085i | ||||
\(486\) | 0.361752 | + | 0.167772i | 0.0164094 | + | 0.00761027i | ||||
\(487\) | −17.0000 | − | 29.4448i | −0.770343 | − | 1.33427i | −0.937375 | − | 0.348322i | \(-0.886752\pi\) |
0.167032 | − | 0.985951i | \(-0.446582\pi\) | |||||||
\(488\) | −0.179446 | −0.00812315 | ||||||||
\(489\) | 1.36743 | + | 1.81306i | 0.0618372 | + | 0.0819896i | ||||
\(490\) | 0.0688975 | − | 0.165279i | 0.00311247 | − | 0.00746655i | ||||
\(491\) | −7.47750 | + | 12.9514i | −0.337455 | + | 0.584489i | −0.983953 | − | 0.178426i | \(-0.942899\pi\) |
0.646498 | + | 0.762915i | \(0.276233\pi\) | |||||||
\(492\) | 0.993270 | + | 1.31697i | 0.0447801 | + | 0.0593737i | ||||
\(493\) | −2.20206 | + | 3.81408i | −0.0991759 | + | 0.171778i | ||||
\(494\) | 0.513240 | + | 0.888958i | 0.0230918 | + | 0.0399961i | ||||
\(495\) | −7.88450 | − | 8.15104i | −0.354382 | − | 0.366362i | ||||
\(496\) | 6.95977 | 0.312503 | ||||||||
\(497\) | −24.4969 | − | 12.1149i | −1.09884 | − | 0.543426i | ||||
\(498\) | −0.349782 | + | 0.0430957i | −0.0156741 | + | 0.00193117i | ||||
\(499\) | −0.409572 | − | 0.709399i | −0.0183349 | − | 0.0317570i | 0.856712 | − | 0.515794i | \(-0.172503\pi\) |
−0.875047 | + | 0.484037i | \(0.839170\pi\) | |||||||
\(500\) | −1.99935 | −0.0894135 | ||||||||
\(501\) | −11.6070 | − | 15.3897i | −0.518562 | − | 0.687559i | ||||
\(502\) | −0.0572028 | −0.00255309 | ||||||||
\(503\) | 13.5639 | 0.604783 | 0.302392 | − | 0.953184i | \(-0.402215\pi\) | ||||
0.302392 | + | 0.953184i | \(0.402215\pi\) | |||||||
\(504\) | −0.247331 | − | 0.773444i | −0.0110170 | − | 0.0344519i | ||||
\(505\) | −3.42479 | −0.152401 | ||||||||
\(506\) | 0.701634 | 0.0311914 | ||||||||
\(507\) | −30.4225 | + | 3.74827i | −1.35111 | + | 0.166467i | ||||
\(508\) | −2.29260 | −0.101718 | ||||||||
\(509\) | −17.4596 | − | 30.2408i | −0.773881 | − | 1.34040i | −0.935421 | − | 0.353536i | \(-0.884979\pi\) |
0.161540 | − | 0.986866i | \(-0.448354\pi\) | |||||||
\(510\) | 0.0145104 | + | 0.0192393i | 0.000642533 | + | 0.000851932i | ||||
\(511\) | −0.991693 | − | 15.3960i | −0.0438699 | − | 0.681080i | ||||
\(512\) | 2.04377 | 0.0903229 | ||||||||
\(513\) | −5.84070 | + | 37.1772i | −0.257873 | + | 1.64141i | ||||
\(514\) | 0.201636 | + | 0.349244i | 0.00889378 | + | 0.0154045i | ||||
\(515\) | −4.71527 | + | 8.16709i | −0.207780 | + | 0.359885i | ||||
\(516\) | 1.92006 | − | 0.236565i | 0.0845257 | − | 0.0104142i | ||||
\(517\) | 16.2116 | − | 28.0793i | 0.712984 | − | 1.23493i | ||||
\(518\) | −0.188368 | + | 0.125557i | −0.00827642 | + | 0.00551665i | ||||
\(519\) | −0.963246 | + | 2.27190i | −0.0422818 | + | 0.0997251i | ||||
\(520\) | −0.566826 | −0.0248570 | ||||||||
\(521\) | 1.55141 | + | 2.68713i | 0.0679687 | + | 0.117725i | 0.898007 | − | 0.439981i | \(-0.145015\pi\) |
−0.830038 | + | 0.557706i | \(0.811682\pi\) | |||||||
\(522\) | −0.170789 | + | 0.597491i | −0.00747525 | + | 0.0261515i | ||||
\(523\) | −5.99060 | + | 10.3760i | −0.261951 | + | 0.453712i | −0.966760 | − | 0.255685i | \(-0.917699\pi\) |
0.704810 | + | 0.709396i | \(0.251032\pi\) | |||||||
\(524\) | −6.36039 | − | 11.0165i | −0.277855 | − | 0.481259i | ||||
\(525\) | −0.851563 | − | 4.50276i | −0.0371653 | − | 0.196517i | ||||
\(526\) | 0.163453 | − | 0.283110i | 0.00712691 | − | 0.0123442i | ||||
\(527\) | −0.473628 | − | 0.820348i | −0.0206316 | − | 0.0357349i | ||||
\(528\) | 15.7545 | + | 20.8888i | 0.685626 | + | 0.909069i | ||||
\(529\) | −14.8241 | + | 25.6761i | −0.644527 | + | 1.11635i | ||||
\(530\) | −0.109104 | + | 0.188974i | −0.00473918 | + | 0.00820850i | ||||
\(531\) | −2.93763 | − | 3.03694i | −0.127482 | − | 0.131792i | ||||
\(532\) | 31.8786 | − | 21.2487i | 1.38211 | − | 0.921248i | ||||
\(533\) | 1.31958 | + | 2.28558i | 0.0571574 | + | 0.0989994i | ||||
\(534\) | 0.481306 | + | 0.638162i | 0.0208282 | + | 0.0276160i | ||||
\(535\) | −0.188876 | −0.00816583 | ||||||||
\(536\) | −1.26687 | −0.0547203 | ||||||||
\(537\) | −21.6119 | + | 2.66274i | −0.932622 | + | 0.114906i | ||||
\(538\) | 0.251411 | + | 0.435457i | 0.0108391 | + | 0.0187739i | ||||
\(539\) | −26.2423 | + | 3.39473i | −1.13034 | + | 0.146221i | ||||
\(540\) | −8.08186 | − | 6.52786i | −0.347788 | − | 0.280914i | ||||
\(541\) | 0.566880 | − | 0.981865i | 0.0243721 | − | 0.0422137i | −0.853582 | − | 0.520958i | \(-0.825575\pi\) |
0.877954 | + | 0.478745i | \(0.158908\pi\) | |||||||
\(542\) | −0.0262264 | + | 0.0454254i | −0.00112652 | + | 0.00195119i | ||||
\(543\) | −9.58240 | + | 22.6009i | −0.411220 | + | 0.969896i | ||||
\(544\) | −0.0834409 | − | 0.144524i | −0.00357750 | − | 0.00619641i | ||||
\(545\) | 4.40407 | − | 7.62807i | 0.188650 | − | 0.326751i | ||||
\(546\) | −0.120692 | − | 0.638175i | −0.00516513 | − | 0.0273114i | ||||
\(547\) | −3.51151 | − | 6.08211i | −0.150141 | − | 0.260052i | 0.781138 | − | 0.624358i | \(-0.214640\pi\) |
−0.931279 | + | 0.364306i | \(0.881306\pi\) | |||||||
\(548\) | −8.55682 | + | 14.8208i | −0.365529 | + | 0.633115i | ||||
\(549\) | −3.65848 | − | 3.78216i | −0.156140 | − | 0.161419i | ||||
\(550\) | −0.0483491 | − | 0.0837432i | −0.00206161 | − | 0.00357082i | ||||
\(551\) | −58.6467 | −2.49843 | ||||||||
\(552\) | 1.27609 | − | 0.157224i | 0.0543140 | − | 0.00669188i | ||||
\(553\) | −7.03562 | − | 3.47944i | −0.299185 | − | 0.147961i | ||||
\(554\) | −0.0821155 | + | 0.142228i | −0.00348875 | + | 0.00604270i | ||||
\(555\) | −2.26145 | + | 5.33381i | −0.0959931 | + | 0.226408i | ||||
\(556\) | 6.17357 | − | 10.6929i | 0.261818 | − | 0.453481i | ||||
\(557\) | −6.94094 | − | 12.0221i | −0.294097 | − | 0.509391i | 0.680677 | − | 0.732583i | \(-0.261686\pi\) |
−0.974774 | + | 0.223192i | \(0.928352\pi\) | |||||||
\(558\) | −0.0929265 | − | 0.0960680i | −0.00393389 | − | 0.00406688i | ||||
\(559\) | 3.09518 | 0.130912 | ||||||||
\(560\) | 0.679598 | + | 10.5508i | 0.0287182 | + | 0.445851i | ||||
\(561\) | 1.39003 | − | 3.27851i | 0.0586873 | − | 0.138419i | ||||
\(562\) | −0.391643 | − | 0.678346i | −0.0165205 | − | 0.0286143i | ||||
\(563\) | 22.2662 | 0.938408 | 0.469204 | − | 0.883090i | \(-0.344541\pi\) | ||||
0.469204 | + | 0.883090i | \(0.344541\pi\) | |||||||
\(564\) | 11.5944 | − | 27.3463i | 0.488212 | − | 1.15149i | ||||
\(565\) | 11.6741 | 0.491132 | ||||||||
\(566\) | 0.248884 | 0.0104614 | ||||||||
\(567\) | 11.2593 | − | 20.9816i | 0.472845 | − | 0.881146i | ||||
\(568\) | −1.05675 | −0.0443403 | ||||||||
\(569\) | 0.0987691 | 0.00414062 | 0.00207031 | − | 0.999998i | \(-0.499341\pi\) | ||||
0.00207031 | + | 0.999998i | \(0.499341\pi\) | |||||||
\(570\) | −0.125260 | + | 0.295437i | −0.00524657 | + | 0.0123745i | ||||
\(571\) | 34.9761 | 1.46370 | 0.731852 | − | 0.681463i | \(-0.238656\pi\) | ||||
0.731852 | + | 0.681463i | \(0.238656\pi\) | |||||||
\(572\) | 20.9370 | + | 36.2640i | 0.875421 | + | 1.51627i | ||||
\(573\) | 6.88303 | − | 16.2342i | 0.287543 | − | 0.678193i | ||||
\(574\) | −0.0268256 | + | 0.0178806i | −0.00111968 | + | 0.000746322i | ||||
\(575\) | 7.25591 | 0.302592 | ||||||||
\(576\) | 16.6534 | + | 17.2164i | 0.693893 | + | 0.717350i | ||||
\(577\) | 9.85646 | + | 17.0719i | 0.410330 | + | 0.710712i | 0.994926 | − | 0.100612i | \(-0.0320802\pi\) |
−0.584596 | + | 0.811325i | \(0.698747\pi\) | |||||||
\(578\) | 0.213652 | − | 0.370056i | 0.00888675 | − | 0.0153923i | ||||
\(579\) | −4.63232 | + | 10.9257i | −0.192512 | + | 0.454057i | ||||
\(580\) | 8.09490 | − | 14.0208i | 0.336123 | − | 0.582181i | ||||
\(581\) | 1.35274 | + | 21.0014i | 0.0561213 | + | 0.871283i | ||||
\(582\) | −0.335572 | + | 0.0413449i | −0.0139099 | + | 0.00171380i | ||||
\(583\) | 32.2453 | 1.33547 | ||||||||
\(584\) | −0.298283 | − | 0.516642i | −0.0123431 | − | 0.0213788i | ||||
\(585\) | −11.5562 | − | 11.9469i | −0.477792 | − | 0.493944i | ||||
\(586\) | −0.136294 | + | 0.236068i | −0.00563026 | + | 0.00975189i | ||||
\(587\) | 13.3822 | + | 23.1787i | 0.552344 | + | 0.956687i | 0.998105 | + | 0.0615355i | \(0.0195997\pi\) |
−0.445761 | + | 0.895152i | \(0.647067\pi\) | |||||||
\(588\) | −23.4798 | + | 6.02629i | −0.968289 | + | 0.248520i | ||||
\(589\) | 6.30697 | − | 10.9240i | 0.259874 | − | 0.450116i | ||||
\(590\) | −0.0180141 | − | 0.0312013i | −0.000741628 | − | 0.00128454i | ||||
\(591\) | −13.5333 | + | 31.9195i | −0.556687 | + | 1.31299i | ||||
\(592\) | 6.68310 | − | 11.5755i | 0.274674 | − | 0.475749i | ||||
\(593\) | 2.17116 | − | 3.76056i | 0.0891589 | − | 0.154428i | −0.817997 | − | 0.575223i | \(-0.804915\pi\) |
0.907156 | + | 0.420795i | \(0.138249\pi\) | |||||||
\(594\) | 0.0779819 | − | 0.496371i | 0.00319964 | − | 0.0203663i | ||||
\(595\) | 1.19737 | − | 0.798106i | 0.0490873 | − | 0.0327192i | ||||
\(596\) | 4.69141 | + | 8.12577i | 0.192168 | + | 0.332844i | ||||
\(597\) | 22.2585 | − | 2.74240i | 0.910978 | − | 0.112239i | ||||
\(598\) | 1.02838 | 0.0420535 | ||||||||
\(599\) | −38.5844 | −1.57652 | −0.788258 | − | 0.615345i | \(-0.789017\pi\) | ||||
−0.788258 | + | 0.615345i | \(0.789017\pi\) | |||||||
\(600\) | −0.106700 | − | 0.141473i | −0.00435600 | − | 0.00577561i | ||||
\(601\) | 22.6721 | + | 39.2693i | 0.924815 | + | 1.60183i | 0.791858 | + | 0.610705i | \(0.209114\pi\) |
0.132957 | + | 0.991122i | \(0.457553\pi\) | |||||||
\(602\) | 0.00243034 | + | 0.0377310i | 9.90531e−5 | + | 0.00153780i | ||||
\(603\) | −25.8284 | − | 26.7016i | −1.05181 | − | 1.08737i | ||||
\(604\) | −15.6074 | + | 27.0328i | −0.635057 | + | 1.09995i | ||||
\(605\) | −1.64471 | + | 2.84872i | −0.0668670 | + | 0.115817i | ||||
\(606\) | −0.0913712 | − | 0.121149i | −0.00371170 | − | 0.00492133i | ||||
\(607\) | −5.35336 | − | 9.27229i | −0.217286 | − | 0.376351i | 0.736691 | − | 0.676229i | \(-0.236387\pi\) |
−0.953977 | + | 0.299879i | \(0.903054\pi\) | |||||||
\(608\) | 1.11112 | − | 1.92452i | 0.0450620 | − | 0.0780498i | ||||
\(609\) | 35.0242 | + | 12.2589i | 1.41925 | + | 0.496756i | ||||
\(610\) | −0.0224344 | − | 0.0388576i | −0.000908344 | − | 0.00157330i | ||||
\(611\) | 23.7612 | − | 41.1555i | 0.961274 | − | 1.66497i | ||||
\(612\) | 0.896581 | − | 3.13661i | 0.0362422 | − | 0.126790i | ||||
\(613\) | −14.1382 | − | 24.4882i | −0.571038 | − | 0.989067i | −0.996460 | − | 0.0840720i | \(-0.973207\pi\) |
0.425421 | − | 0.904995i | \(-0.360126\pi\) | |||||||
\(614\) | 0.0915883 | 0.00369620 | ||||||||
\(615\) | −0.322054 | + | 0.759590i | −0.0129865 | + | 0.0306296i | ||||
\(616\) | −0.851392 | + | 0.567496i | −0.0343036 | + | 0.0228651i | ||||
\(617\) | 18.3974 | − | 31.8653i | 0.740653 | − | 1.28285i | −0.211546 | − | 0.977368i | \(-0.567850\pi\) |
0.952198 | − | 0.305480i | \(-0.0988170\pi\) | |||||||
\(618\) | −0.414703 | + | 0.0510944i | −0.0166818 | + | 0.00205532i | ||||
\(619\) | −3.26092 | + | 5.64807i | −0.131067 | + | 0.227015i | −0.924088 | − | 0.382179i | \(-0.875174\pi\) |
0.793021 | + | 0.609194i | \(0.208507\pi\) | |||||||
\(620\) | 1.74108 | + | 3.01564i | 0.0699236 | + | 0.121111i | ||||
\(621\) | 29.3302 | + | 23.6905i | 1.17698 | + | 0.950668i | ||||
\(622\) | 0.417367 | 0.0167349 | ||||||||
\(623\) | 39.7163 | − | 26.4729i | 1.59120 | − | 1.06061i | ||||
\(624\) | 23.0912 | + | 30.6165i | 0.924388 | + | 1.22564i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −0.175903 | −0.00703051 | ||||||||
\(627\) | 47.0637 | − | 5.79859i | 1.87954 | − | 0.231573i | ||||
\(628\) | 37.1260 | 1.48149 | ||||||||
\(629\) | −1.81920 | −0.0725362 | ||||||||
\(630\) | 0.136561 | − | 0.150254i | 0.00544074 | − | 0.00598625i | ||||
\(631\) | 2.81008 | 0.111867 | 0.0559337 | − | 0.998434i | \(-0.482186\pi\) | ||||
0.0559337 | + | 0.998434i | \(0.482186\pi\) | |||||||
\(632\) | −0.303504 | −0.0120727 | ||||||||
\(633\) | −13.4183 | − | 17.7912i | −0.533329 | − | 0.707138i | ||||
\(634\) | −0.510266 | −0.0202653 | ||||||||
\(635\) | −0.573339 | − | 0.993052i | −0.0227523 | − | 0.0394081i | ||||
\(636\) | 29.3182 | − | 3.61221i | 1.16254 | − | 0.143233i | ||||
\(637\) | −38.4631 | + | 4.97563i | −1.52396 | + | 0.197142i | ||||
\(638\) | 0.783019 | 0.0310000 | ||||||||
\(639\) | −21.5447 | − | 22.2730i | −0.852293 | − | 0.881106i | ||||
\(640\) | 0.408955 | + | 0.708332i | 0.0161654 | + | 0.0279993i | ||||
\(641\) | 0.856808 | − | 1.48403i | 0.0338419 | − | 0.0586159i | −0.848608 | − | 0.529022i | \(-0.822559\pi\) |
0.882450 | + | 0.470406i | \(0.155892\pi\) | |||||||
\(642\) | −0.00503909 | − | 0.00668130i | −0.000198877 | − | 0.000263690i | ||||
\(643\) | −10.4993 | + | 18.1854i | −0.414054 | + | 0.717162i | −0.995329 | − | 0.0965451i | \(-0.969221\pi\) |
0.581275 | + | 0.813707i | \(0.302554\pi\) | |||||||
\(644\) | −2.46716 | − | 38.3027i | −0.0972199 | − | 1.50934i | ||||
\(645\) | 0.582640 | + | 0.772520i | 0.0229414 | + | 0.0304179i | ||||
\(646\) | −0.100764 | −0.00396452 | ||||||||
\(647\) | −1.23228 | − | 2.13437i | −0.0484458 | − | 0.0839105i | 0.840786 | − | 0.541368i | \(-0.182093\pi\) |
−0.889231 | + | 0.457458i | \(0.848760\pi\) | |||||||
\(648\) | 0.0306011 | − | 0.920244i | 0.00120212 | − | 0.0361506i | ||||
\(649\) | −2.66200 | + | 4.61072i | −0.104493 | + | 0.180987i | ||||
\(650\) | −0.0708649 | − | 0.122742i | −0.00277955 | − | 0.00481432i | ||||
\(651\) | −6.05002 | + | 5.20555i | −0.237119 | + | 0.204021i | ||||
\(652\) | 1.31068 | − | 2.27017i | 0.0513304 | − | 0.0889068i | ||||
\(653\) | 16.7740 | + | 29.0534i | 0.656416 | + | 1.13695i | 0.981537 | + | 0.191273i | \(0.0612616\pi\) |
−0.325121 | + | 0.945672i | \(0.605405\pi\) | |||||||
\(654\) | 0.387333 | − | 0.0477222i | 0.0151459 | − | 0.00186609i | ||||
\(655\) | 3.18123 | − | 5.51006i | 0.124301 | − | 0.215296i | ||||
\(656\) | 0.951743 | − | 1.64847i | 0.0371593 | − | 0.0643618i | ||||
\(657\) | 4.80789 | − | 16.8200i | 0.187574 | − | 0.656210i | ||||
\(658\) | 0.520352 | + | 0.257338i | 0.0202854 | + | 0.0100321i | ||||
\(659\) | 5.81556 | + | 10.0728i | 0.226542 | + | 0.392382i | 0.956781 | − | 0.290809i | \(-0.0939246\pi\) |
−0.730239 | + | 0.683192i | \(0.760591\pi\) | |||||||
\(660\) | −5.10984 | + | 12.0520i | −0.198900 | + | 0.469123i | ||||
\(661\) | −42.0861 | −1.63696 | −0.818479 | − | 0.574537i | \(-0.805182\pi\) | ||||
−0.818479 | + | 0.574537i | \(0.805182\pi\) | |||||||
\(662\) | −0.277839 | −0.0107985 | ||||||||
\(663\) | 2.03736 | − | 4.80528i | 0.0791245 | − | 0.186622i | ||||
\(664\) | 0.406881 | + | 0.704739i | 0.0157901 | + | 0.0273492i | ||||
\(665\) | 17.1762 | + | 8.49445i | 0.666066 | + | 0.329401i | ||||
\(666\) | −0.249012 | + | 0.0623060i | −0.00964902 | + | 0.00241431i | ||||
\(667\) | −29.3776 | + | 50.8834i | −1.13750 | + | 1.97021i | ||||
\(668\) | −11.1254 | + | 19.2697i | −0.430453 | + | 0.745566i | ||||
\(669\) | 21.3350 | − | 2.62862i | 0.824857 | − | 0.101628i | ||||
\(670\) | −0.158384 | − | 0.274330i | −0.00611892 | − | 0.0105983i | ||||
\(671\) | −3.31521 | + | 5.74211i | −0.127982 | + | 0.221672i | ||||
\(672\) | −1.06586 | + | 0.917082i | −0.0411163 | + | 0.0353772i | ||||
\(673\) | −4.35702 | − | 7.54659i | −0.167951 | − | 0.290899i | 0.769748 | − | 0.638347i | \(-0.220382\pi\) |
−0.937699 | + | 0.347448i | \(0.887048\pi\) | |||||||
\(674\) | −0.00351063 | + | 0.00608059i | −0.000135224 | + | 0.000234216i | ||||
\(675\) | 0.806446 | − | 5.13319i | 0.0310401 | − | 0.197577i | ||||
\(676\) | 17.6915 | + | 30.6425i | 0.680440 | + | 1.17856i | ||||
\(677\) | 11.4712 | 0.440875 | 0.220437 | − | 0.975401i | \(-0.429252\pi\) | ||||
0.220437 | + | 0.975401i | \(0.429252\pi\) | |||||||
\(678\) | 0.311457 | + | 0.412959i | 0.0119614 | + | 0.0158596i | ||||
\(679\) | 1.29779 | + | 20.1481i | 0.0498045 | + | 0.773214i | ||||
\(680\) | 0.0278212 | − | 0.0481878i | 0.00106689 | − | 0.00184792i | ||||
\(681\) | 9.24284 | + | 12.2550i | 0.354187 | + | 0.469614i | ||||
\(682\) | −0.0842074 | + | 0.145851i | −0.00322447 | + | 0.00558494i | ||||
\(683\) | 17.5055 | + | 30.3205i | 0.669831 | + | 1.16018i | 0.977951 | + | 0.208834i | \(0.0669667\pi\) |
−0.308120 | + | 0.951347i | \(0.599700\pi\) | |||||||
\(684\) | 42.1417 | − | 10.5444i | 1.61133 | − | 0.403175i | ||||
\(685\) | −8.55962 | −0.327046 | ||||||||
\(686\) | −0.0908552 | − | 0.464967i | −0.00346887 | − | 0.0177525i | ||||
\(687\) | −45.2402 | + | 5.57392i | −1.72602 | + | 0.212658i | ||||
\(688\) | −1.11620 | − | 1.93331i | −0.0425546 | − | 0.0737067i | ||||
\(689\) | 47.2617 | 1.80053 | ||||||||
\(690\) | 0.193583 | + | 0.256671i | 0.00736957 | + | 0.00977128i | ||||
\(691\) | 3.84678 | 0.146338 | 0.0731692 | − | 0.997320i | \(-0.476689\pi\) | ||||
0.0731692 | + | 0.997320i | \(0.476689\pi\) | |||||||
\(692\) | 2.84848 | 0.108283 | ||||||||
\(693\) | −29.3189 | − | 6.37477i | −1.11373 | − | 0.242157i | ||||
\(694\) | 0.0969062 | 0.00367851 | ||||||||
\(695\) | 6.17559 | 0.234253 | ||||||||
\(696\) | 1.42411 | − | 0.175460i | 0.0539807 | − | 0.00665081i | ||||
\(697\) | −0.259073 | −0.00981308 | ||||||||
\(698\) | 0.366425 | + | 0.634666i | 0.0138694 | + | 0.0240225i | ||||
\(699\) | −27.1660 | − | 36.0193i | −1.02751 | − | 1.36238i | ||||
\(700\) | −4.40159 | + | 2.93388i | −0.166365 | + | 0.110890i | ||||
\(701\) | 6.90316 | 0.260729 | 0.130364 | − | 0.991466i | \(-0.458385\pi\) | ||||
0.130364 | + | 0.991466i | \(0.458385\pi\) | |||||||
\(702\) | 0.114297 | − | 0.727526i | 0.00431388 | − | 0.0274587i | ||||
\(703\) | −12.1125 | − | 20.9795i | −0.456832 | − | 0.791255i | ||||
\(704\) | 15.0909 | − | 26.1381i | 0.568758 | − | 0.985119i | ||||
\(705\) | 14.7447 | − | 1.81666i | 0.555319 | − | 0.0684193i | ||||
\(706\) | −0.0551886 | + | 0.0955895i | −0.00207705 | + | 0.00359756i | ||||
\(707\) | −7.53974 | + | 5.02562i | −0.283561 | + | 0.189008i | ||||
\(708\) | −1.90384 | + | 4.49037i | −0.0715508 | + | 0.168758i | ||||
\(709\) | 10.5427 | 0.395938 | 0.197969 | − | 0.980208i | \(-0.436565\pi\) | ||||
0.197969 | + | 0.980208i | \(0.436565\pi\) | |||||||
\(710\) | −0.132116 | − | 0.228831i | −0.00495821 | − | 0.00858787i | ||||
\(711\) | −6.18773 | − | 6.39691i | −0.232058 | − | 0.239903i | ||||
\(712\) | 0.922820 | − | 1.59837i | 0.0345841 | − | 0.0599015i | ||||
\(713\) | −6.31864 | − | 10.9442i | −0.236635 | − | 0.409863i | ||||
\(714\) | 0.0601772 | + | 0.0210628i | 0.00225207 | + | 0.000788254i | ||||
\(715\) | −10.4719 | + | 18.1379i | −0.391628 | + | 0.678320i | ||||
\(716\) | 12.5679 | + | 21.7682i | 0.469683 | + | 0.813515i | ||||
\(717\) | −19.8178 | − | 26.2763i | −0.740109 | − | 0.981308i | ||||
\(718\) | −0.347648 | + | 0.602144i | −0.0129741 | + | 0.0224718i | ||||
\(719\) | −17.8806 | + | 30.9701i | −0.666835 | + | 1.15499i | 0.311950 | + | 0.950099i | \(0.399018\pi\) |
−0.978784 | + | 0.204893i | \(0.934315\pi\) | |||||||
\(720\) | −3.29480 | + | 11.5266i | −0.122790 | + | 0.429570i | ||||
\(721\) | 1.60382 | + | 24.8993i | 0.0597293 | + | 0.927298i | ||||
\(722\) | −0.427888 | − | 0.741124i | −0.0159243 | − | 0.0275818i | ||||
\(723\) | −14.8963 | − | 19.7510i | −0.554001 | − | 0.734548i | ||||
\(724\) | 28.3367 | 1.05313 | ||||||||
\(725\) | 8.09755 | 0.300736 | ||||||||
\(726\) | −0.144651 | + | 0.0178220i | −0.00536849 | + | 0.000661437i | ||||
\(727\) | −19.2427 | − | 33.3294i | −0.713674 | − | 1.23612i | −0.963469 | − | 0.267820i | \(-0.913697\pi\) |
0.249795 | − | 0.968299i | \(-0.419637\pi\) | |||||||
\(728\) | −1.24788 | + | 0.831773i | −0.0462494 | + | 0.0308276i | ||||
\(729\) | 20.0197 | − | 18.1166i | 0.741471 | − | 0.670985i | ||||
\(730\) | 0.0745831 | − | 0.129182i | 0.00276044 | − | 0.00478123i | ||||
\(731\) | −0.151919 | + | 0.263132i | −0.00561893 | + | 0.00973228i | ||||
\(732\) | −2.37101 | + | 5.59223i | −0.0876352 | + | 0.206695i | ||||
\(733\) | −20.8214 | − | 36.0637i | −0.769056 | − | 1.33204i | −0.938075 | − | 0.346431i | \(-0.887393\pi\) |
0.169020 | − | 0.985613i | \(-0.445940\pi\) | |||||||
\(734\) | −0.153678 | + | 0.266179i | −0.00567238 | + | 0.00982484i | ||||
\(735\) | −8.48218 | − | 8.66329i | −0.312870 | − | 0.319550i | ||||
\(736\) | −1.11318 | − | 1.92808i | −0.0410323 | − | 0.0710701i | ||||
\(737\) | −23.4050 | + | 40.5386i | −0.862133 | + | 1.49326i | ||||
\(738\) | −0.0354619 | + | 0.00887303i | −0.00130537 | + | 0.000326621i | ||||
\(739\) | −22.4915 | − | 38.9565i | −0.827364 | − | 1.43304i | −0.900099 | − | 0.435685i | \(-0.856506\pi\) |
0.0727349 | − | 0.997351i | \(-0.476827\pi\) | |||||||
\(740\) | 6.68747 | 0.245836 | ||||||||
\(741\) | 68.9808 | − | 8.49894i | 2.53407 | − | 0.312216i | ||||
\(742\) | 0.0371099 | + | 0.576131i | 0.00136235 | + | 0.0211504i | ||||
\(743\) | −2.24629 | + | 3.89069i | −0.0824083 | + | 0.142735i | −0.904284 | − | 0.426932i | \(-0.859595\pi\) |
0.821876 | + | 0.569667i | \(0.192928\pi\) | |||||||
\(744\) | −0.120469 | + | 0.284135i | −0.00441660 | + | 0.0104169i | ||||
\(745\) | −2.34647 | + | 4.06421i | −0.0859682 | + | 0.148901i | ||||
\(746\) | 0.111069 | + | 0.192378i | 0.00406653 | + | 0.00704344i | ||||
\(747\) | −6.55833 | + | 22.9437i | −0.239957 | + | 0.839467i | ||||
\(748\) | −4.11056 | −0.150297 | ||||||||
\(749\) | −0.415814 | + | 0.277161i | −0.0151935 | + | 0.0101272i | ||||
\(750\) | 0.0172951 | − | 0.0407920i | 0.000631529 | − | 0.00148951i | ||||
\(751\) | −21.1330 | − | 36.6034i | −0.771154 | − | 1.33568i | −0.936931 | − | 0.349514i | \(-0.886347\pi\) |
0.165778 | − | 0.986163i | \(-0.446987\pi\) | |||||||
\(752\) | −34.2753 | −1.24989 | ||||||||
\(753\) | −1.51188 | + | 3.56590i | −0.0550961 | + | 0.129949i | ||||
\(754\) | 1.14766 | 0.0417955 | ||||||||
\(755\) | −15.6125 | −0.568198 | ||||||||
\(756\) | −27.3715 | − | 2.51170i | −0.995490 | − | 0.0913495i | ||||
\(757\) | −25.4479 | −0.924918 | −0.462459 | − | 0.886641i | \(-0.653033\pi\) | ||||
−0.462459 | + | 0.886641i | \(0.653033\pi\) | |||||||
\(758\) | 0.324923 | 0.0118017 | ||||||||
\(759\) | 18.5444 | − | 43.7384i | 0.673117 | − | 1.58760i | ||||
\(760\) | 0.740952 | 0.0268771 | ||||||||
\(761\) | 14.9151 | + | 25.8338i | 0.540673 | + | 0.936473i | 0.998866 | + | 0.0476201i | \(0.0151637\pi\) |
−0.458193 | + | 0.888853i | \(0.651503\pi\) | |||||||
\(762\) | 0.0198319 | − | 0.0467752i | 0.000718435 | − | 0.00169449i | ||||
\(763\) | −1.49797 | − | 23.2559i | −0.0542300 | − | 0.841922i | ||||
\(764\) | −20.3543 | −0.736391 | ||||||||
\(765\) | 1.58285 | − | 0.396050i | 0.0572282 | − | 0.0143192i | ||||
\(766\) | −0.321306 | − | 0.556518i | −0.0116092 | − | 0.0201078i | ||||
\(767\) | −3.90167 | + | 6.75789i | −0.140881 | + | 0.244013i | ||||
\(768\) | 10.7823 | − | 25.4308i | 0.389071 | − | 0.917657i | ||||
\(769\) | 9.71584 | − | 16.8283i | 0.350362 | − | 0.606845i | −0.635951 | − | 0.771730i | \(-0.719392\pi\) |
0.986313 | + | 0.164885i | \(0.0527252\pi\) | |||||||
\(770\) | −0.229328 | − | 0.113413i | −0.00826440 | − | 0.00408713i | ||||
\(771\) | 27.1004 | − | 3.33896i | 0.975997 | − | 0.120250i | ||||
\(772\) | 13.6985 | 0.493021 | ||||||||
\(773\) | 16.1602 | + | 27.9902i | 0.581241 | + | 1.00674i | 0.995333 | + | 0.0965036i | \(0.0307659\pi\) |
−0.414092 | + | 0.910235i | \(0.635901\pi\) | |||||||
\(774\) | −0.0117827 | + | 0.0412206i | −0.000423520 | + | 0.00148164i | ||||
\(775\) | −0.870826 | + | 1.50832i | −0.0312810 | + | 0.0541803i | ||||
\(776\) | 0.390351 | + | 0.676107i | 0.0140128 | + | 0.0242708i | ||||
\(777\) | 2.84834 | + | 15.0610i | 0.102183 | + | 0.540309i | ||||
\(778\) | −0.244838 | + | 0.424071i | −0.00877785 | + | 0.0152037i | ||||
\(779\) | −1.72495 | − | 2.98769i | −0.0618026 | − | 0.107045i | ||||
\(780\) | −7.48945 | + | 17.6645i | −0.268165 | + | 0.632490i | ||||
\(781\) | −19.5232 | + | 33.8151i | −0.698594 | + | 1.21000i | ||||
\(782\) | −0.0504753 | + | 0.0874258i | −0.00180499 | + | 0.00312634i | ||||
\(783\) | 32.7323 | + | 26.4385i | 1.16976 | + | 0.944834i | ||||
\(784\) | 16.9785 | + | 22.2304i | 0.606377 | + | 0.793943i | ||||
\(785\) | 9.28453 | + | 16.0813i | 0.331379 | + | 0.573965i | ||||
\(786\) | 0.279786 | − | 0.0344717i | 0.00997964 | − | 0.00122956i | ||||
\(787\) | 26.1901 | 0.933577 | 0.466788 | − | 0.884369i | \(-0.345411\pi\) | ||||
0.466788 | + | 0.884369i | \(0.345411\pi\) | |||||||
\(788\) | 40.0203 | 1.42566 | ||||||||
\(789\) | −13.3283 | − | 17.6720i | −0.474502 | − | 0.629140i | ||||
\(790\) | −0.0379442 | − | 0.0657213i | −0.00134999 | − | 0.00233826i | ||||
\(791\) | 25.7007 | − | 17.1308i | 0.913811 | − | 0.609101i | ||||
\(792\) | −1.12549 | + | 0.281613i | −0.0399926 | + | 0.0100067i | ||||
\(793\) | −4.85907 | + | 8.41616i | −0.172551 | + | 0.298867i | ||||
\(794\) | −0.0461606 | + | 0.0799525i | −0.00163818 | + | 0.00283741i | ||||
\(795\) | 8.89658 | + | 11.7959i | 0.315529 | + | 0.418359i | ||||
\(796\) | −12.9439 | − | 22.4194i | −0.458783 | − | 0.794636i | ||||
\(797\) | 9.92568 | − | 17.1918i | 0.351586 | − | 0.608964i | −0.634942 | − | 0.772560i | \(-0.718976\pi\) |
0.986527 | + | 0.163596i | \(0.0523092\pi\) | |||||||
\(798\) | 0.157768 | + | 0.834218i | 0.00558491 | + | 0.0295310i | ||||
\(799\) | 2.33251 | + | 4.04003i | 0.0825183 | + | 0.142926i | ||||
\(800\) | −0.153417 | + | 0.265726i | −0.00542411 | + | 0.00939483i | ||||
\(801\) | 52.5027 | − | 13.1369i | 1.85509 | − | 0.464168i | ||||
\(802\) | −0.0429774 | − | 0.0744390i | −0.00151758 | − | 0.00262853i | ||||
\(803\) | −22.0428 | −0.777873 | ||||||||
\(804\) | −16.7391 | + | 39.4805i | −0.590341 | + | 1.39237i | ||||
\(805\) | 15.9740 | − | 10.6475i | 0.563010 | − | 0.375274i | ||||
\(806\) | −0.123422 | + | 0.213773i | −0.00434735 | + | 0.00752984i | ||||
\(807\) | 33.7903 | − | 4.16321i | 1.18948 | − | 0.146552i | ||||
\(808\) | −0.175188 | + | 0.303435i | −0.00616310 | + | 0.0106748i | ||||
\(809\) | −1.09725 | − | 1.90050i | −0.0385774 | − | 0.0668180i | 0.846092 | − | 0.533037i | \(-0.178949\pi\) |
−0.884669 | + | 0.466219i | \(0.845616\pi\) | |||||||
\(810\) | 0.203097 | − | 0.108423i | 0.00713610 | − | 0.00380959i | ||||
\(811\) | −21.8077 | −0.765773 | −0.382887 | − | 0.923795i | \(-0.625070\pi\) | ||||
−0.382887 | + | 0.923795i | \(0.625070\pi\) | |||||||
\(812\) | −2.75334 | − | 42.7456i | −0.0966233 | − | 1.50008i | ||||
\(813\) | 2.13855 | + | 2.83550i | 0.0750024 | + | 0.0994454i | ||||
\(814\) | 0.161720 | + | 0.280107i | 0.00566827 | + | 0.00981773i | ||||
\(815\) | 1.31111 | 0.0459263 | ||||||||
\(816\) | −3.73619 | + | 0.460325i | −0.130793 | + | 0.0161146i | ||||
\(817\) | −4.04600 | −0.141552 | ||||||||
\(818\) | 0.0609402 | 0.00213072 | ||||||||
\(819\) | −42.9724 | − | 9.34344i | −1.50158 | − | 0.326486i | ||||
\(820\) | 0.952366 | 0.0332581 | ||||||||
\(821\) | 44.1340 | 1.54029 | 0.770144 | − | 0.637870i | \(-0.220184\pi\) | ||||
0.770144 | + | 0.637870i | \(0.220184\pi\) | |||||||
\(822\) | −0.228365 | − | 0.302788i | −0.00796514 | − | 0.0105609i | ||||
\(823\) | 33.5573 | 1.16973 | 0.584867 | − | 0.811129i | \(-0.301147\pi\) | ||||
0.584867 | + | 0.811129i | \(0.301147\pi\) | |||||||
\(824\) | 0.482400 | + | 0.835541i | 0.0168052 | + | 0.0291074i | ||||
\(825\) | −6.49825 | + | 0.800632i | −0.226240 | + | 0.0278744i | ||||
\(826\) | −0.0854438 | − | 0.0422559i | −0.00297297 | − | 0.00147027i | ||||
\(827\) | −4.29754 | −0.149440 | −0.0747201 | − | 0.997205i | \(-0.523806\pi\) | ||||
−0.0747201 | + | 0.997205i | \(0.523806\pi\) | |||||||
\(828\) | 11.9612 | − | 41.8453i | 0.415681 | − | 1.45422i | ||||
\(829\) | −11.9899 | − | 20.7671i | −0.416427 | − | 0.721273i | 0.579150 | − | 0.815221i | \(-0.303385\pi\) |
−0.995577 | + | 0.0939481i | \(0.970051\pi\) | |||||||
\(830\) | −0.101737 | + | 0.176214i | −0.00353134 | + | 0.00611646i | ||||
\(831\) | 6.69588 | + | 8.87803i | 0.232277 | + | 0.307976i | ||||
\(832\) | 22.1185 | − | 38.3104i | 0.766822 | − | 1.32818i | ||||
\(833\) | 1.46487 | − | 3.51409i | 0.0507546 | − | 0.121756i | ||||
\(834\) | 0.164760 | + | 0.218455i | 0.00570519 | + | 0.00756449i | ||||
\(835\) | −11.1290 | −0.385135 | ||||||||
\(836\) | −27.3687 | − | 47.4041i | −0.946568 | − | 1.63950i | ||||
\(837\) | −8.44474 | + | 3.25374i | −0.291893 | + | 0.112466i | ||||
\(838\) | −0.0400887 | + | 0.0694356i | −0.00138484 | + | 0.00239861i | ||||
\(839\) | 24.2851 | + | 42.0630i | 0.838414 | + | 1.45218i | 0.891220 | + | 0.453571i | \(0.149850\pi\) |
−0.0528059 | + | 0.998605i | \(0.516816\pi\) | |||||||
\(840\) | −0.442502 | − | 0.154881i | −0.0152678 | − | 0.00534391i | ||||
\(841\) | −18.2852 | + | 31.6708i | −0.630523 | + | 1.09210i | ||||
\(842\) | 0.170891 | + | 0.295992i | 0.00588929 | + | 0.0102005i | ||||
\(843\) | −52.6379 | + | 6.48537i | −1.81295 | + | 0.223368i | ||||
\(844\) | −12.8615 | + | 22.2768i | −0.442711 | + | 0.766797i | ||||
\(845\) | −8.84862 | + | 15.3263i | −0.304402 | + | 0.527239i | ||||
\(846\) | 0.457642 | + | 0.473113i | 0.0157341 | + | 0.0162660i | ||||
\(847\) | 0.559420 | + | 8.68500i | 0.0192219 | + | 0.298420i | ||||
\(848\) | −17.0437 | − | 29.5205i | −0.585282 | − | 1.01374i | ||||
\(849\) | 6.57806 | − | 15.5149i | 0.225759 | − | 0.532470i | ||||
\(850\) | 0.0139129 | 0.000477208 | ||||||||
\(851\) | −24.2698 | −0.831958 | ||||||||
\(852\) | −13.9628 | + | 32.9325i | −0.478358 | + | 1.12825i | ||||
\(853\) | −8.37813 | − | 14.5113i | −0.286862 | − | 0.496859i | 0.686197 | − | 0.727416i | \(-0.259279\pi\) |
−0.973059 | + | 0.230556i | \(0.925945\pi\) | |||||||
\(854\) | −0.106410 | − | 0.0526248i | −0.00364128 | − | 0.00180078i | ||||
\(855\) | 15.1062 | + | 15.6169i | 0.516622 | + | 0.534087i | ||||
\(856\) | −0.00966156 | + | 0.0167343i | −0.000330225 | + | 0.000571967i | ||||
\(857\) | 5.22760 | − | 9.05447i | 0.178571 | − | 0.309295i | −0.762820 | − | 0.646611i | \(-0.776186\pi\) |
0.941391 | + | 0.337316i | \(0.109519\pi\) | |||||||
\(858\) | −0.920995 | + | 0.113473i | −0.0314423 | + | 0.00387392i | ||||
\(859\) | −6.71601 | − | 11.6325i | −0.229147 | − | 0.396895i | 0.728408 | − | 0.685143i | \(-0.240260\pi\) |
−0.957556 | + | 0.288248i | \(0.906927\pi\) | |||||||
\(860\) | 0.558463 | − | 0.967287i | 0.0190434 | − | 0.0329842i | ||||
\(861\) | 0.405633 | + | 2.14484i | 0.0138239 | + | 0.0730959i | ||||
\(862\) | −0.306331 | − | 0.530581i | −0.0104337 | − | 0.0180716i | ||||
\(863\) | 15.5326 | − | 26.9033i | 0.528737 | − | 0.915799i | −0.470702 | − | 0.882292i | \(-0.655999\pi\) |
0.999439 | − | 0.0335063i | \(-0.0106674\pi\) | |||||||
\(864\) | −1.48774 | + | 0.573225i | −0.0506141 | + | 0.0195015i | ||||
\(865\) | 0.712352 | + | 1.23383i | 0.0242207 | + | 0.0419515i | ||||
\(866\) | −0.393269 | −0.0133638 | ||||||||
\(867\) | −17.4216 | − | 23.0993i | −0.591670 | − | 0.784493i | ||||
\(868\) | 8.25824 | + | 4.08409i | 0.280303 | + | 0.138623i | ||||
\(869\) | −5.60714 | + | 9.71186i | −0.190209 | + | 0.329452i | ||||
\(870\) | 0.216037 | + | 0.286443i | 0.00732435 | + | 0.00971132i | ||||
\(871\) | −34.3045 | + | 59.4171i | −1.16236 | + | 2.01327i | ||||
\(872\) | −0.450562 | − | 0.780396i | −0.0152579 | − | 0.0264275i | ||||
\(873\) | −6.29189 | + | 22.0116i | −0.212948 | + | 0.744979i | ||||
\(874\) | −1.34429 | −0.0454713 | ||||||||
\(875\) | −2.37158 | − | 1.17286i | −0.0801741 | − | 0.0396498i | ||||
\(876\) | −20.0418 | + | 2.46929i | −0.677148 | + | 0.0834296i | ||||
\(877\) | 5.32274 | + | 9.21925i | 0.179736 | + | 0.311312i | 0.941790 | − | 0.336201i | \(-0.109142\pi\) |
−0.762054 | + | 0.647513i | \(0.775809\pi\) | |||||||
\(878\) | 0.217437 | 0.00733816 | ||||||||
\(879\) | 11.1137 | + | 14.7356i | 0.374856 | + | 0.497020i | ||||
\(880\) | 15.1057 | 0.509213 | ||||||||
\(881\) | −37.4454 | −1.26157 | −0.630785 | − | 0.775958i | \(-0.717267\pi\) | ||||
−0.630785 | + | 0.775958i | \(0.717267\pi\) | |||||||
\(882\) | 0.0801567 | − | 0.531179i | 0.00269902 | − | 0.0178857i | ||||
\(883\) | −1.93626 | −0.0651605 | −0.0325802 | − | 0.999469i | \(-0.510372\pi\) | ||||
−0.0325802 | + | 0.999469i | \(0.510372\pi\) | |||||||
\(884\) | −6.02481 | −0.202636 | ||||||||
\(885\) | −2.42114 | + | 0.298302i | −0.0813858 | + | 0.0100273i | ||||
\(886\) | −0.791271 | −0.0265833 | ||||||||
\(887\) | −13.5842 | − | 23.5285i | −0.456112 | − | 0.790009i | 0.542640 | − | 0.839966i | \(-0.317425\pi\) |
−0.998751 | + | 0.0499568i | \(0.984092\pi\) | |||||||
\(888\) | 0.356893 | + | 0.473203i | 0.0119765 | + | 0.0158796i | ||||
\(889\) | −2.71944 | − | 1.34489i | −0.0912071 | − | 0.0451062i | ||||
\(890\) | 0.461486 | 0.0154690 | ||||||||
\(891\) | −28.8816 | − | 17.9804i | −0.967571 | − | 0.602367i | ||||
\(892\) | −12.4068 | − | 21.4892i | −0.415411 | − | 0.719513i | ||||
\(893\) | −31.0604 | + | 53.7982i | −1.03940 | + | 1.80029i | ||||
\(894\) | −0.206370 | + | 0.0254263i | −0.00690204 | + | 0.000850382i | ||||
\(895\) | −6.28599 | + | 10.8877i | −0.210118 | + | 0.363934i | ||||
\(896\) | 1.93974 | + | 0.959293i | 0.0648023 | + | 0.0320477i | ||||
\(897\) | 27.1803 | − | 64.1069i | 0.907523 | − | 2.14047i | ||||
\(898\) | 0.108375 | 0.00361651 | ||||||||
\(899\) | −7.05156 | − | 12.2137i | −0.235183 | − | 0.407348i | ||||
\(900\) | −5.81866 | + | 1.45590i | −0.193955 | + | 0.0485301i | ||||
\(901\) | −2.31972 | + | 4.01787i | −0.0772811 | + | 0.133855i | ||||
\(902\) | 0.0230306 | + | 0.0398901i | 0.000766834 | + | 0.00132820i | ||||
\(903\) | 2.41630 | + | 0.845737i | 0.0804096 | + | 0.0281444i | ||||
\(904\) | 0.597163 | − | 1.03432i | 0.0198614 | − | 0.0344009i | ||||
\(905\) | 7.08650 | + | 12.2742i | 0.235563 | + | 0.408008i | ||||
\(906\) | −0.416532 | − | 0.552278i | −0.0138383 | − | 0.0183482i | ||||
\(907\) | −27.9594 | + | 48.4271i | −0.928376 | + | 1.60799i | −0.142337 | + | 0.989818i | \(0.545462\pi\) |
−0.786040 | + | 0.618176i | \(0.787872\pi\) | |||||||
\(908\) | 8.85931 | − | 15.3448i | 0.294007 | − | 0.509234i | ||||
\(909\) | −9.96712 | + | 2.49390i | −0.330588 | + | 0.0827174i | ||||
\(910\) | −0.336124 | − | 0.166229i | −0.0111424 | − | 0.00551043i | ||||
\(911\) | 4.38364 | + | 7.59269i | 0.145237 | + | 0.251557i | 0.929461 | − | 0.368920i | \(-0.120272\pi\) |
−0.784225 | + | 0.620477i | \(0.786939\pi\) | |||||||
\(912\) | −30.1847 | − | 40.0217i | −0.999515 | − | 1.32525i | ||||
\(913\) | 30.0680 | 0.995106 | ||||||||
\(914\) | 1.00783 | 0.0333361 | ||||||||
\(915\) | −3.01525 | + | 0.371500i | −0.0996810 | + | 0.0122814i | ||||
\(916\) | 26.3083 | + | 45.5674i | 0.869252 | + | 1.50559i | ||||
\(917\) | −1.08204 | − | 16.7987i | −0.0357322 | − | 0.554742i | ||||
\(918\) | 0.0562394 | + | 0.0454255i | 0.00185618 | + | 0.00149927i | ||||
\(919\) | 5.14755 | − | 8.91582i | 0.169802 | − | 0.294106i | −0.768548 | − | 0.639792i | \(-0.779021\pi\) |
0.938350 | + | 0.345686i | \(0.112354\pi\) | |||||||
\(920\) | 0.371161 | − | 0.642869i | 0.0122368 | − | 0.0211948i | ||||
\(921\) | 2.42070 | − | 5.70942i | 0.0797648 | − | 0.188132i | ||||
\(922\) | −0.0732078 | − | 0.126800i | −0.00241097 | − | 0.00417592i | ||||
\(923\) | −28.6149 | + | 49.5625i | −0.941871 | + | 1.63137i | ||||
\(924\) | 6.43594 | + | 34.0309i | 0.211727 | + | 1.11954i | ||||
\(925\) | 1.67242 | + | 2.89671i | 0.0549887 | + | 0.0952432i | ||||
\(926\) | 0.241820 | − | 0.418844i | 0.00794669 | − | 0.0137641i | ||||
\(927\) | −7.77558 | + | 27.2022i | −0.255384 | + | 0.893436i | ||||
\(928\) | −1.24230 | − | 2.15173i | −0.0407805 | − | 0.0706339i | ||||
\(929\) | 37.4361 | 1.22824 | 0.614119 | − | 0.789214i | \(-0.289512\pi\) | ||||
0.614119 | + | 0.789214i | \(0.289512\pi\) | |||||||
\(930\) | −0.0765882 | + | 0.00943622i | −0.00251143 | + | 0.000309426i | ||||
\(931\) | 50.2787 | − | 6.50411i | 1.64782 | − | 0.213164i | ||||
\(932\) | −26.0388 | + | 45.1005i | −0.852928 | + | 1.47732i | ||||
\(933\) | 11.0311 | − | 26.0178i | 0.361142 | − | 0.851783i | ||||
\(934\) | 0.286648 | − | 0.496489i | 0.00937941 | − | 0.0162456i | ||||
\(935\) | −1.02798 | − | 1.78051i | −0.0336184 | − | 0.0582288i | ||||
\(936\) | −1.64962 | + | 0.412757i | −0.0539196 | + | 0.0134914i | ||||
\(937\) | −20.0462 | −0.654882 | −0.327441 | − | 0.944872i | \(-0.606186\pi\) | ||||
−0.327441 | + | 0.944872i | \(0.606186\pi\) | |||||||
\(938\) | −0.751243 | − | 0.371525i | −0.0245290 | − | 0.0121307i | ||||
\(939\) | −4.64917 | + | 10.9654i | −0.151720 | + | 0.357844i | ||||
\(940\) | −8.57444 | − | 14.8514i | −0.279667 | − | 0.484398i | ||||
\(941\) | −9.65806 | −0.314844 | −0.157422 | − | 0.987531i | \(-0.550318\pi\) | ||||
−0.157422 | + | 0.987531i | \(0.550318\pi\) | |||||||
\(942\) | −0.321154 | + | 0.757469i | −0.0104638 | + | 0.0246797i | ||||
\(943\) | −3.45627 | −0.112552 | ||||||||
\(944\) | 5.62813 | 0.183180 | ||||||||
\(945\) | −5.75715 | − | 12.4842i | −0.187280 | − | 0.406111i | ||||
\(946\) | 0.0540201 | 0.00175635 | ||||||||
\(947\) | 16.5667 | 0.538345 | 0.269172 | − | 0.963092i | \(-0.413250\pi\) | ||||
0.269172 | + | 0.963092i | \(0.413250\pi\) | |||||||
\(948\) | −4.01019 | + | 9.45835i | −0.130245 | + | 0.307193i | ||||
\(949\) | −32.3079 | −1.04876 | ||||||||
\(950\) | 0.0926341 | + | 0.160447i | 0.00300545 | + | 0.00520559i | ||||
\(951\) | −13.4865 | + | 31.8089i | −0.437328 | + | 1.03147i | ||||
\(952\) | −0.00946290 | − | 0.146912i | −0.000306694 | − | 0.00476143i | ||||
\(953\) | 22.6180 | 0.732669 | 0.366335 | − | 0.930483i | \(-0.380613\pi\) | ||||
0.366335 | + | 0.930483i | \(0.380613\pi\) | |||||||
\(954\) | −0.179915 | + | 0.629416i | −0.00582496 | + | 0.0203781i | ||||
\(955\) | −5.09023 | − | 8.81654i | −0.164716 | − | 0.285296i | ||||
\(956\) | −18.9955 | + | 32.9011i | −0.614357 | + | 1.06410i | ||||
\(957\) | 20.6954 | − | 48.8118i | 0.668987 | − | 1.57786i | ||||
\(958\) | 0.385379 | − | 0.667495i | 0.0124510 | − | 0.0215658i | ||||
\(959\) | −18.8441 | + | 12.5606i | −0.608509 | + | 0.405602i | ||||
\(960\) | 13.7254 | − | 1.69107i | 0.442986 | − | 0.0545791i | ||||
\(961\) | −27.9666 | −0.902150 | ||||||||
\(962\) | 0.237031 | + | 0.410550i | 0.00764219 | + | 0.0132367i | ||||
\(963\) | −0.549683 | + | 0.137538i | −0.0177133 | + | 0.00443209i | ||||
\(964\) | −14.2782 | + | 24.7306i | −0.459871 | + | 0.796519i | ||||
\(965\) | 3.42575 | + | 5.93357i | 0.110279 | + | 0.191009i | ||||
\(966\) | 0.802820 | + | 0.280997i | 0.0258303 | + | 0.00904093i | ||||
\(967\) | −16.1629 | + | 27.9950i | −0.519764 | + | 0.900258i | 0.479972 | + | 0.877284i | \(0.340647\pi\) |
−0.999736 | + | 0.0229741i | \(0.992686\pi\) | |||||||
\(968\) | 0.168264 | + | 0.291441i | 0.00540820 | + | 0.00936727i | ||||
\(969\) | −2.66322 | + | 6.28143i | −0.0855551 | + | 0.201789i | ||||
\(970\) | −0.0976037 | + | 0.169055i | −0.00313386 | + | 0.00542801i | ||||
\(971\) | 19.6527 | − | 34.0395i | 0.630686 | − | 1.09238i | −0.356726 | − | 0.934209i | \(-0.616107\pi\) |
0.987412 | − | 0.158171i | \(-0.0505597\pi\) | |||||||
\(972\) | −28.2740 | − | 13.1128i | −0.906889 | − | 0.420593i | ||||
\(973\) | 13.5957 | − | 9.06219i | 0.435857 | − | 0.290520i | ||||
\(974\) | −0.434870 | − | 0.753218i | −0.0139341 | − | 0.0241347i | ||||
\(975\) | −9.52443 | + | 1.17348i | −0.305026 | + | 0.0375814i | ||||
\(976\) | 7.00918 | 0.224358 | ||||||||
\(977\) | 29.9325 | 0.957626 | 0.478813 | − | 0.877917i | \(-0.341067\pi\) | ||||
0.478813 | + | 0.877917i | \(0.341067\pi\) | |||||||
\(978\) | 0.0349796 | + | 0.0463794i | 0.00111853 | + | 0.00148305i | ||||
\(979\) | −34.0976 | − | 59.0588i | −1.08976 | − | 1.88753i | ||||
\(980\) | −5.38493 | + | 12.9180i | −0.172015 | + | 0.412650i | ||||
\(981\) | 7.26240 | − | 25.4068i | 0.231870 | − | 0.811177i | ||||
\(982\) | −0.191279 | + | 0.331305i | −0.00610396 | + | 0.0105724i | ||||
\(983\) | −0.284451 | + | 0.492683i | −0.00907257 | + | 0.0157142i | −0.870526 | − | 0.492122i | \(-0.836221\pi\) |
0.861453 | + | 0.507836i | \(0.169555\pi\) | |||||||
\(984\) | 0.0508253 | + | 0.0673890i | 0.00162025 | + | 0.00214828i | ||||
\(985\) | 10.0083 | + | 17.3350i | 0.318892 | + | 0.552338i | ||||
\(986\) | −0.0563301 | + | 0.0975667i | −0.00179392 | + | 0.00310716i | ||||
\(987\) | 29.7950 | − | 25.6361i | 0.948384 | − | 0.816008i | ||||
\(988\) | −40.1141 | − | 69.4797i | −1.27620 | − | 2.21044i | ||||
\(989\) | −2.02674 | + | 3.51042i | −0.0644467 | + | 0.111625i | ||||
\(990\) | −0.201690 | − | 0.208509i | −0.00641014 | − | 0.00662685i | ||||
\(991\) | −6.46835 | − | 11.2035i | −0.205474 | − | 0.355891i | 0.744810 | − | 0.667277i | \(-0.232540\pi\) |
−0.950284 | + | 0.311386i | \(0.899207\pi\) | |||||||
\(992\) | 0.534398 | 0.0169671 | ||||||||
\(993\) | −7.34334 | + | 17.3199i | −0.233034 | + | 0.549630i | ||||
\(994\) | −0.626646 | − | 0.309906i | −0.0198760 | − | 0.00982961i | ||||
\(995\) | 6.47405 | − | 11.2134i | 0.205241 | − | 0.355488i | ||||
\(996\) | 27.3385 | − | 3.36830i | 0.866253 | − | 0.106729i | ||||
\(997\) | −5.38312 | + | 9.32384i | −0.170485 | + | 0.295289i | −0.938590 | − | 0.345036i | \(-0.887867\pi\) |
0.768104 | + | 0.640325i | \(0.221200\pi\) | |||||||
\(998\) | −0.0104771 | − | 0.0181469i | −0.000331647 | − | 0.000574429i | ||||
\(999\) | −2.69742 | + | 17.1697i | −0.0853427 | + | 0.543224i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 315.2.l.c.121.10 | yes | 36 | |
3.2 | odd | 2 | 945.2.l.c.226.9 | 36 | |||
7.4 | even | 3 | 315.2.k.c.256.9 | yes | 36 | ||
9.2 | odd | 6 | 945.2.k.c.856.10 | 36 | |||
9.7 | even | 3 | 315.2.k.c.16.9 | ✓ | 36 | ||
21.11 | odd | 6 | 945.2.k.c.361.10 | 36 | |||
63.11 | odd | 6 | 945.2.l.c.46.9 | 36 | |||
63.25 | even | 3 | inner | 315.2.l.c.151.10 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.k.c.16.9 | ✓ | 36 | 9.7 | even | 3 | ||
315.2.k.c.256.9 | yes | 36 | 7.4 | even | 3 | ||
315.2.l.c.121.10 | yes | 36 | 1.1 | even | 1 | trivial | |
315.2.l.c.151.10 | yes | 36 | 63.25 | even | 3 | inner | |
945.2.k.c.361.10 | 36 | 21.11 | odd | 6 | |||
945.2.k.c.856.10 | 36 | 9.2 | odd | 6 | |||
945.2.l.c.46.9 | 36 | 63.11 | odd | 6 | |||
945.2.l.c.226.9 | 36 | 3.2 | odd | 2 |