Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [418,2,Mod(115,418)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(418, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("418.115");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 418 = 2 \cdot 11 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 418.f (of order \(5\), degree \(4\), 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: | \(3.33774680449\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 6 x^{15} + 24 x^{14} - 62 x^{13} + 148 x^{12} - 232 x^{11} + 432 x^{10} - 356 x^{9} + 424 x^{8} - 320 x^{7} + 712 x^{6} - 936 x^{5} + 968 x^{4} - 336 x^{3} + 208 x^{2} + \cdots + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 229.3 | ||
Root | \(-0.151066 + 0.464934i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 418.229 |
Dual form | 418.2.f.f.115.3 |
$q$-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 \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(343\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.309017 | − | 0.951057i | 0.218508 | − | 0.672499i | ||||
\(3\) | −0.128416 | + | 0.0932996i | −0.0741409 | + | 0.0538665i | −0.624238 | − | 0.781234i | \(-0.714591\pi\) |
0.550097 | + | 0.835100i | \(0.314591\pi\) | |||||||
\(4\) | −0.809017 | − | 0.587785i | −0.404508 | − | 0.293893i | ||||
\(5\) | 0.950820 | + | 2.92632i | 0.425219 | + | 1.30869i | 0.902784 | + | 0.430094i | \(0.141520\pi\) |
−0.477565 | + | 0.878597i | \(0.658480\pi\) | |||||||
\(6\) | 0.0490505 | + | 0.150962i | 0.0200248 | + | 0.0616299i | ||||
\(7\) | −1.09378 | − | 0.794679i | −0.413410 | − | 0.300360i | 0.361571 | − | 0.932345i | \(-0.382241\pi\) |
−0.774981 | + | 0.631984i | \(0.782241\pi\) | |||||||
\(8\) | −0.809017 | + | 0.587785i | −0.286031 | + | 0.207813i | ||||
\(9\) | −0.919265 | + | 2.82921i | −0.306422 | + | 0.943069i | ||||
\(10\) | 3.07692 | 0.973007 | ||||||||
\(11\) | 3.30564 | − | 0.269725i | 0.996688 | − | 0.0813250i | ||||
\(12\) | 0.158731 | 0.0458216 | ||||||||
\(13\) | −0.162774 | + | 0.500965i | −0.0451453 | + | 0.138943i | −0.971088 | − | 0.238720i | \(-0.923272\pi\) |
0.925943 | + | 0.377663i | \(0.123272\pi\) | |||||||
\(14\) | −1.09378 | + | 0.794679i | −0.292325 | + | 0.212387i | ||||
\(15\) | −0.395125 | − | 0.287075i | −0.102021 | − | 0.0741224i | ||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | 2.23602 | + | 6.88177i | 0.542315 | + | 1.66908i | 0.727289 | + | 0.686332i | \(0.240780\pi\) |
−0.184973 | + | 0.982744i | \(0.559220\pi\) | |||||||
\(18\) | 2.40667 | + | 1.74855i | 0.567257 | + | 0.412136i | ||||
\(19\) | 0.809017 | − | 0.587785i | 0.185601 | − | 0.134847i | ||||
\(20\) | 0.950820 | − | 2.92632i | 0.212610 | − | 0.654345i | ||||
\(21\) | 0.214602 | 0.0468300 | ||||||||
\(22\) | 0.764975 | − | 3.22720i | 0.163093 | − | 0.688041i | ||||
\(23\) | 2.09183 | 0.436176 | 0.218088 | − | 0.975929i | \(-0.430018\pi\) | ||||
0.218088 | + | 0.975929i | \(0.430018\pi\) | |||||||
\(24\) | 0.0490505 | − | 0.150962i | 0.0100124 | − | 0.0308150i | ||||
\(25\) | −3.61422 | + | 2.62588i | −0.722843 | + | 0.525176i | ||||
\(26\) | 0.426147 | + | 0.309614i | 0.0835742 | + | 0.0607202i | ||||
\(27\) | −0.293067 | − | 0.901968i | −0.0564008 | − | 0.173584i | ||||
\(28\) | 0.417787 | + | 1.28582i | 0.0789544 | + | 0.242997i | ||||
\(29\) | 0.224804 | + | 0.163330i | 0.0417451 | + | 0.0303296i | 0.608462 | − | 0.793583i | \(-0.291787\pi\) |
−0.566717 | + | 0.823912i | \(0.691787\pi\) | |||||||
\(30\) | −0.395125 | + | 0.287075i | −0.0721396 | + | 0.0524125i | ||||
\(31\) | −0.532890 | + | 1.64007i | −0.0957099 | + | 0.294565i | −0.987438 | − | 0.158007i | \(-0.949493\pi\) |
0.891728 | + | 0.452571i | \(0.149493\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | −0.399331 | + | 0.343052i | −0.0695146 | + | 0.0597176i | ||||
\(34\) | 7.23593 | 1.24095 | ||||||||
\(35\) | 1.28550 | − | 3.95635i | 0.217289 | − | 0.668746i | ||||
\(36\) | 2.40667 | − | 1.74855i | 0.401111 | − | 0.291424i | ||||
\(37\) | −7.21017 | − | 5.23850i | −1.18535 | − | 0.861204i | −0.192581 | − | 0.981281i | \(-0.561686\pi\) |
−0.992765 | + | 0.120077i | \(0.961686\pi\) | |||||||
\(38\) | −0.309017 | − | 0.951057i | −0.0501292 | − | 0.154282i | ||||
\(39\) | −0.0258372 | − | 0.0795186i | −0.00413726 | − | 0.0127332i | ||||
\(40\) | −2.48928 | − | 1.80857i | −0.393589 | − | 0.285959i | ||||
\(41\) | 6.77434 | − | 4.92185i | 1.05797 | − | 0.768663i | 0.0842616 | − | 0.996444i | \(-0.473147\pi\) |
0.973713 | + | 0.227780i | \(0.0731469\pi\) | |||||||
\(42\) | 0.0663157 | − | 0.204099i | 0.0102327 | − | 0.0314931i | ||||
\(43\) | 6.30119 | 0.960923 | 0.480461 | − | 0.877016i | \(-0.340469\pi\) | ||||
0.480461 | + | 0.877016i | \(0.340469\pi\) | |||||||
\(44\) | −2.83286 | − | 1.72479i | −0.427069 | − | 0.260022i | ||||
\(45\) | −9.15323 | −1.36448 | ||||||||
\(46\) | 0.646410 | − | 1.98944i | 0.0953079 | − | 0.293328i | ||||
\(47\) | −1.59143 | + | 1.15624i | −0.232133 | + | 0.168655i | −0.697771 | − | 0.716320i | \(-0.745825\pi\) |
0.465638 | + | 0.884975i | \(0.345825\pi\) | |||||||
\(48\) | −0.128416 | − | 0.0932996i | −0.0185352 | − | 0.0134666i | ||||
\(49\) | −1.59828 | − | 4.91899i | −0.228325 | − | 0.702712i | ||||
\(50\) | 1.38051 | + | 4.24877i | 0.195233 | + | 0.600866i | ||||
\(51\) | −0.929207 | − | 0.675109i | −0.130115 | − | 0.0945341i | ||||
\(52\) | 0.426147 | − | 0.309614i | 0.0590959 | − | 0.0429357i | ||||
\(53\) | −0.682009 | + | 2.09901i | −0.0936811 | + | 0.288321i | −0.986908 | − | 0.161286i | \(-0.948436\pi\) |
0.893227 | + | 0.449607i | \(0.148436\pi\) | |||||||
\(54\) | −0.948385 | −0.129059 | ||||||||
\(55\) | 3.93237 | + | 9.41690i | 0.530240 | + | 1.26978i | ||||
\(56\) | 1.35199 | 0.180667 | ||||||||
\(57\) | −0.0490505 | + | 0.150962i | −0.00649690 | + | 0.0199954i | ||||
\(58\) | 0.224804 | − | 0.163330i | 0.0295182 | − | 0.0214463i | ||||
\(59\) | −7.05701 | − | 5.12722i | −0.918745 | − | 0.667507i | 0.0244664 | − | 0.999701i | \(-0.492211\pi\) |
−0.943211 | + | 0.332193i | \(0.892211\pi\) | |||||||
\(60\) | 0.150924 | + | 0.464497i | 0.0194842 | + | 0.0599663i | ||||
\(61\) | 1.97372 | + | 6.07450i | 0.252709 | + | 0.777759i | 0.994272 | + | 0.106876i | \(0.0340848\pi\) |
−0.741563 | + | 0.670883i | \(0.765915\pi\) | |||||||
\(62\) | 1.39512 | + | 1.01362i | 0.177181 | + | 0.128730i | ||||
\(63\) | 3.25379 | − | 2.36401i | 0.409938 | − | 0.297838i | ||||
\(64\) | 0.309017 | − | 0.951057i | 0.0386271 | − | 0.118882i | ||||
\(65\) | −1.62075 | −0.201030 | ||||||||
\(66\) | 0.202861 | + | 0.485795i | 0.0249705 | + | 0.0597973i | ||||
\(67\) | −1.02001 | −0.124614 | −0.0623071 | − | 0.998057i | \(-0.519846\pi\) | ||||
−0.0623071 | + | 0.998057i | \(0.519846\pi\) | |||||||
\(68\) | 2.23602 | − | 6.88177i | 0.271158 | − | 0.834538i | ||||
\(69\) | −0.268624 | + | 0.195166i | −0.0323385 | + | 0.0234953i | ||||
\(70\) | −3.36547 | − | 2.44516i | −0.402251 | − | 0.292253i | ||||
\(71\) | −1.14764 | − | 3.53208i | −0.136200 | − | 0.419181i | 0.859575 | − | 0.511010i | \(-0.170729\pi\) |
−0.995775 | + | 0.0918293i | \(0.970729\pi\) | |||||||
\(72\) | −0.919265 | − | 2.82921i | −0.108336 | − | 0.333425i | ||||
\(73\) | −1.39281 | − | 1.01194i | −0.163016 | − | 0.118438i | 0.503286 | − | 0.864120i | \(-0.332124\pi\) |
−0.666303 | + | 0.745681i | \(0.732124\pi\) | |||||||
\(74\) | −7.21017 | + | 5.23850i | −0.838166 | + | 0.608963i | ||||
\(75\) | 0.219129 | − | 0.674410i | 0.0253028 | − | 0.0778741i | ||||
\(76\) | −1.00000 | −0.114708 | ||||||||
\(77\) | −3.82999 | − | 2.33190i | −0.436468 | − | 0.265745i | ||||
\(78\) | −0.0836108 | −0.00946706 | ||||||||
\(79\) | 2.32820 | − | 7.16548i | 0.261943 | − | 0.806179i | −0.730438 | − | 0.682979i | \(-0.760684\pi\) |
0.992382 | − | 0.123200i | \(-0.0393158\pi\) | |||||||
\(80\) | −2.48928 | + | 1.80857i | −0.278310 | + | 0.202204i | ||||
\(81\) | −7.09821 | − | 5.15715i | −0.788691 | − | 0.573017i | ||||
\(82\) | −2.58757 | − | 7.96371i | −0.285749 | − | 0.879445i | ||||
\(83\) | 2.00766 | + | 6.17895i | 0.220369 | + | 0.678228i | 0.998729 | + | 0.0504083i | \(0.0160523\pi\) |
−0.778359 | + | 0.627819i | \(0.783948\pi\) | |||||||
\(84\) | −0.173617 | − | 0.126140i | −0.0189431 | − | 0.0137630i | ||||
\(85\) | −18.0122 | + | 13.0867i | −1.95370 | + | 1.41945i | ||||
\(86\) | 1.94718 | − | 5.99279i | 0.209969 | − | 0.646219i | ||||
\(87\) | −0.0441070 | −0.00472877 | ||||||||
\(88\) | −2.51578 | + | 2.16122i | −0.268183 | + | 0.230387i | ||||
\(89\) | −10.3518 | −1.09728 | −0.548642 | − | 0.836057i | \(-0.684855\pi\) | ||||
−0.548642 | + | 0.836057i | \(0.684855\pi\) | |||||||
\(90\) | −2.82850 | + | 8.70524i | −0.298150 | + | 0.917612i | ||||
\(91\) | 0.576145 | − | 0.418594i | 0.0603964 | − | 0.0438806i | ||||
\(92\) | −1.69232 | − | 1.22954i | −0.176437 | − | 0.128189i | ||||
\(93\) | −0.0845860 | − | 0.260329i | −0.00877116 | − | 0.0269949i | ||||
\(94\) | 0.607871 | + | 1.87083i | 0.0626971 | + | 0.192962i | ||||
\(95\) | 2.48928 | + | 1.80857i | 0.255395 | + | 0.185555i | ||||
\(96\) | −0.128416 | + | 0.0932996i | −0.0131064 | + | 0.00952235i | ||||
\(97\) | −3.22678 | + | 9.93100i | −0.327630 | + | 1.00834i | 0.642610 | + | 0.766194i | \(0.277852\pi\) |
−0.970240 | + | 0.242147i | \(0.922148\pi\) | |||||||
\(98\) | −5.17213 | −0.522464 | ||||||||
\(99\) | −2.27565 | + | 9.60029i | −0.228712 | + | 0.964865i | ||||
\(100\) | 4.46742 | 0.446742 | ||||||||
\(101\) | 5.13200 | − | 15.7947i | 0.510653 | − | 1.57163i | −0.280401 | − | 0.959883i | \(-0.590468\pi\) |
0.791054 | − | 0.611746i | \(-0.209532\pi\) | |||||||
\(102\) | −0.929207 | + | 0.675109i | −0.0920052 | + | 0.0668457i | ||||
\(103\) | 5.10366 | + | 3.70802i | 0.502878 | + | 0.365362i | 0.810115 | − | 0.586271i | \(-0.199404\pi\) |
−0.307237 | + | 0.951633i | \(0.599404\pi\) | |||||||
\(104\) | −0.162774 | − | 0.500965i | −0.0159613 | − | 0.0491237i | ||||
\(105\) | 0.204048 | + | 0.627995i | 0.0199130 | + | 0.0612860i | ||||
\(106\) | 1.78552 | + | 1.29726i | 0.173425 | + | 0.126001i | ||||
\(107\) | −10.6789 | + | 7.75871i | −1.03237 | + | 0.750063i | −0.968782 | − | 0.247914i | \(-0.920255\pi\) |
−0.0635904 | + | 0.997976i | \(0.520255\pi\) | |||||||
\(108\) | −0.293067 | + | 0.901968i | −0.0282004 | + | 0.0867919i | ||||
\(109\) | 4.47355 | 0.428488 | 0.214244 | − | 0.976780i | \(-0.431271\pi\) | ||||
0.214244 | + | 0.976780i | \(0.431271\pi\) | |||||||
\(110\) | 10.1712 | − | 0.829920i | 0.969784 | − | 0.0791298i | ||||
\(111\) | 1.41465 | 0.134273 | ||||||||
\(112\) | 0.417787 | − | 1.28582i | 0.0394772 | − | 0.121498i | ||||
\(113\) | 10.1613 | − | 7.38265i | 0.955899 | − | 0.694501i | 0.00370440 | − | 0.999993i | \(-0.498821\pi\) |
0.952195 | + | 0.305492i | \(0.0988208\pi\) | |||||||
\(114\) | 0.128416 | + | 0.0932996i | 0.0120272 | + | 0.00873830i | ||||
\(115\) | 1.98895 | + | 6.12135i | 0.185470 | + | 0.570819i | ||||
\(116\) | −0.0858676 | − | 0.264273i | −0.00797261 | − | 0.0245372i | ||||
\(117\) | −1.26770 | − | 0.921040i | −0.117199 | − | 0.0851502i | ||||
\(118\) | −7.05701 | + | 5.12722i | −0.649651 | + | 0.471999i | ||||
\(119\) | 3.02308 | − | 9.30408i | 0.277125 | − | 0.852903i | ||||
\(120\) | 0.488401 | 0.0445847 | ||||||||
\(121\) | 10.8545 | − | 1.78322i | 0.986772 | − | 0.162111i | ||||
\(122\) | 6.38710 | 0.578261 | ||||||||
\(123\) | −0.410726 | + | 1.26409i | −0.0370340 | + | 0.113979i | ||||
\(124\) | 1.39512 | − | 1.01362i | 0.125286 | − | 0.0910255i | ||||
\(125\) | 1.32575 | + | 0.963213i | 0.118579 | + | 0.0861523i | ||||
\(126\) | −1.24284 | − | 3.82505i | −0.110721 | − | 0.340763i | ||||
\(127\) | −5.08585 | − | 15.6526i | −0.451296 | − | 1.38895i | −0.875429 | − | 0.483347i | \(-0.839421\pi\) |
0.424133 | − | 0.905600i | \(-0.360579\pi\) | |||||||
\(128\) | −0.809017 | − | 0.587785i | −0.0715077 | − | 0.0519534i | ||||
\(129\) | −0.809173 | + | 0.587899i | −0.0712437 | + | 0.0517616i | ||||
\(130\) | −0.500841 | + | 1.54143i | −0.0439266 | + | 0.135192i | ||||
\(131\) | 15.1571 | 1.32428 | 0.662140 | − | 0.749380i | \(-0.269648\pi\) | ||||
0.662140 | + | 0.749380i | \(0.269648\pi\) | |||||||
\(132\) | 0.524706 | − | 0.0428136i | 0.0456698 | − | 0.00372644i | ||||
\(133\) | −1.35199 | −0.117232 | ||||||||
\(134\) | −0.315201 | + | 0.970088i | −0.0272292 | + | 0.0838029i | ||||
\(135\) | 2.36079 | − | 1.71522i | 0.203185 | − | 0.147622i | ||||
\(136\) | −5.85399 | − | 4.25317i | −0.501975 | − | 0.364706i | ||||
\(137\) | −1.68735 | − | 5.19313i | −0.144160 | − | 0.443679i | 0.852742 | − | 0.522333i | \(-0.174938\pi\) |
−0.996902 | + | 0.0786532i | \(0.974938\pi\) | |||||||
\(138\) | 0.102605 | + | 0.315786i | 0.00873432 | + | 0.0268815i | ||||
\(139\) | 7.46676 | + | 5.42492i | 0.633323 | + | 0.460136i | 0.857550 | − | 0.514401i | \(-0.171986\pi\) |
−0.224227 | + | 0.974537i | \(0.571986\pi\) | |||||||
\(140\) | −3.36547 | + | 2.44516i | −0.284434 | + | 0.206654i | ||||
\(141\) | 0.0964878 | − | 0.296959i | 0.00812574 | − | 0.0250084i | ||||
\(142\) | −3.71385 | −0.311659 | ||||||||
\(143\) | −0.402948 | + | 1.69991i | −0.0336962 | + | 0.142154i | ||||
\(144\) | −2.97480 | −0.247900 | ||||||||
\(145\) | −0.264207 | + | 0.813147i | −0.0219412 | + | 0.0675282i | ||||
\(146\) | −1.39281 | + | 1.01194i | −0.115270 | + | 0.0837485i | ||||
\(147\) | 0.664183 | + | 0.482557i | 0.0547809 | + | 0.0398007i | ||||
\(148\) | 2.75404 | + | 8.47607i | 0.226381 | + | 0.696728i | ||||
\(149\) | −3.81024 | − | 11.7267i | −0.312147 | − | 0.960690i | −0.976913 | − | 0.213638i | \(-0.931469\pi\) |
0.664766 | − | 0.747052i | \(-0.268531\pi\) | |||||||
\(150\) | −0.573687 | − | 0.416808i | −0.0468413 | − | 0.0340322i | ||||
\(151\) | −2.94044 | + | 2.13636i | −0.239290 | + | 0.173854i | −0.700967 | − | 0.713194i | \(-0.747248\pi\) |
0.461677 | + | 0.887048i | \(0.347248\pi\) | |||||||
\(152\) | −0.309017 | + | 0.951057i | −0.0250646 | + | 0.0771409i | ||||
\(153\) | −21.5255 | −1.74023 | ||||||||
\(154\) | −3.40130 | + | 2.92194i | −0.274085 | + | 0.235457i | ||||
\(155\) | −5.30605 | −0.426192 | ||||||||
\(156\) | −0.0258372 | + | 0.0795186i | −0.00206863 | + | 0.00636658i | ||||
\(157\) | 0.705098 | − | 0.512284i | 0.0562729 | − | 0.0408847i | −0.559293 | − | 0.828970i | \(-0.688927\pi\) |
0.615566 | + | 0.788085i | \(0.288927\pi\) | |||||||
\(158\) | −6.09532 | − | 4.42851i | −0.484917 | − | 0.352313i | ||||
\(159\) | −0.108256 | − | 0.333177i | −0.00858524 | − | 0.0264226i | ||||
\(160\) | 0.950820 | + | 2.92632i | 0.0751689 | + | 0.231346i | ||||
\(161\) | −2.28800 | − | 1.66233i | −0.180320 | − | 0.131010i | ||||
\(162\) | −7.09821 | + | 5.15715i | −0.557688 | + | 0.405184i | ||||
\(163\) | −2.39047 | + | 7.35710i | −0.187236 | + | 0.576253i | −0.999980 | − | 0.00636854i | \(-0.997973\pi\) |
0.812744 | + | 0.582621i | \(0.197973\pi\) | |||||||
\(164\) | −8.37354 | −0.653864 | ||||||||
\(165\) | −1.38357 | − | 0.842391i | −0.107711 | − | 0.0655801i | ||||
\(166\) | 6.49693 | 0.504259 | ||||||||
\(167\) | 6.74535 | − | 20.7600i | 0.521971 | − | 1.60646i | −0.248259 | − | 0.968694i | \(-0.579858\pi\) |
0.770229 | − | 0.637767i | \(-0.220142\pi\) | |||||||
\(168\) | −0.173617 | + | 0.126140i | −0.0133948 | + | 0.00973190i | ||||
\(169\) | 10.2927 | + | 7.47812i | 0.791750 | + | 0.575240i | ||||
\(170\) | 6.88006 | + | 21.1746i | 0.527676 | + | 1.62402i | ||||
\(171\) | 0.919265 | + | 2.82921i | 0.0702980 | + | 0.216355i | ||||
\(172\) | −5.09777 | − | 3.70375i | −0.388701 | − | 0.282408i | ||||
\(173\) | 8.90740 | − | 6.47160i | 0.677217 | − | 0.492027i | −0.195216 | − | 0.980760i | \(-0.562541\pi\) |
0.872433 | + | 0.488733i | \(0.162541\pi\) | |||||||
\(174\) | −0.0136298 | + | 0.0419483i | −0.00103327 | + | 0.00318009i | ||||
\(175\) | 6.03989 | 0.456573 | ||||||||
\(176\) | 1.27802 | + | 3.06050i | 0.0963345 | + | 0.230694i | ||||
\(177\) | 1.38460 | 0.104073 | ||||||||
\(178\) | −3.19887 | + | 9.84510i | −0.239765 | + | 0.737922i | ||||
\(179\) | 10.1553 | − | 7.37829i | 0.759046 | − | 0.551479i | −0.139571 | − | 0.990212i | \(-0.544572\pi\) |
0.898618 | + | 0.438733i | \(0.144572\pi\) | |||||||
\(180\) | 7.40512 | + | 5.38013i | 0.551945 | + | 0.401011i | ||||
\(181\) | −1.06703 | − | 3.28398i | −0.0793117 | − | 0.244096i | 0.903537 | − | 0.428510i | \(-0.140961\pi\) |
−0.982849 | + | 0.184414i | \(0.940961\pi\) | |||||||
\(182\) | −0.220068 | − | 0.677299i | −0.0163125 | − | 0.0502048i | ||||
\(183\) | −0.820205 | − | 0.595914i | −0.0606313 | − | 0.0440512i | ||||
\(184\) | −1.69232 | + | 1.22954i | −0.124760 | + | 0.0906432i | ||||
\(185\) | 8.47396 | − | 26.0802i | 0.623018 | − | 1.91745i | ||||
\(186\) | −0.273726 | −0.0200706 | ||||||||
\(187\) | 9.24767 | + | 22.1455i | 0.676257 | + | 1.61944i | ||||
\(188\) | 1.96711 | 0.143466 | ||||||||
\(189\) | −0.396223 | + | 1.21945i | −0.0288210 | + | 0.0887019i | ||||
\(190\) | 2.48928 | − | 1.80857i | 0.180591 | − | 0.131207i | ||||
\(191\) | −17.2497 | − | 12.5327i | −1.24815 | − | 0.906832i | −0.250034 | − | 0.968237i | \(-0.580442\pi\) |
−0.998113 | + | 0.0614054i | \(0.980442\pi\) | |||||||
\(192\) | 0.0490505 | + | 0.150962i | 0.00353991 | + | 0.0108947i | ||||
\(193\) | 7.24713 | + | 22.3044i | 0.521660 | + | 1.60550i | 0.770828 | + | 0.637044i | \(0.219843\pi\) |
−0.249168 | + | 0.968460i | \(0.580157\pi\) | |||||||
\(194\) | 8.44782 | + | 6.13770i | 0.606518 | + | 0.440661i | ||||
\(195\) | 0.208131 | − | 0.151216i | 0.0149045 | − | 0.0108288i | ||||
\(196\) | −1.59828 | + | 4.91899i | −0.114163 | + | 0.351356i | ||||
\(197\) | −7.79605 | −0.555445 | −0.277723 | − | 0.960661i | \(-0.589580\pi\) | ||||
−0.277723 | + | 0.960661i | \(0.589580\pi\) | |||||||
\(198\) | 8.42720 | + | 5.13093i | 0.598895 | + | 0.364639i | ||||
\(199\) | −9.48281 | −0.672219 | −0.336109 | − | 0.941823i | \(-0.609111\pi\) | ||||
−0.336109 | + | 0.941823i | \(0.609111\pi\) | |||||||
\(200\) | 1.38051 | − | 4.24877i | 0.0976166 | − | 0.300433i | ||||
\(201\) | 0.130986 | − | 0.0951666i | 0.00923901 | − | 0.00671254i | ||||
\(202\) | −13.4358 | − | 9.76165i | −0.945336 | − | 0.686827i | ||||
\(203\) | −0.116092 | − | 0.357294i | −0.00814806 | − | 0.0250771i | ||||
\(204\) | 0.354926 | + | 1.09235i | 0.0248498 | + | 0.0764797i | ||||
\(205\) | 20.8441 | + | 15.1441i | 1.45581 | + | 1.05771i | ||||
\(206\) | 5.10366 | − | 3.70802i | 0.355589 | − | 0.258350i | ||||
\(207\) | −1.92294 | + | 5.91821i | −0.133654 | + | 0.411344i | ||||
\(208\) | −0.526746 | −0.0365233 | ||||||||
\(209\) | 2.51578 | − | 2.16122i | 0.174020 | − | 0.149495i | ||||
\(210\) | 0.660313 | 0.0455659 | ||||||||
\(211\) | 4.81914 | − | 14.8318i | 0.331763 | − | 1.02106i | −0.636531 | − | 0.771251i | \(-0.719631\pi\) |
0.968294 | − | 0.249812i | \(-0.0803687\pi\) | |||||||
\(212\) | 1.78552 | − | 1.29726i | 0.122630 | − | 0.0890960i | ||||
\(213\) | 0.476917 | + | 0.346501i | 0.0326778 | + | 0.0237418i | ||||
\(214\) | 4.07899 | + | 12.5539i | 0.278834 | + | 0.858164i | ||||
\(215\) | 5.99130 | + | 18.4393i | 0.408603 | + | 1.25755i | ||||
\(216\) | 0.767260 | + | 0.557447i | 0.0522054 | + | 0.0379294i | ||||
\(217\) | 1.88619 | − | 1.37040i | 0.128043 | − | 0.0930287i | ||||
\(218\) | 1.38240 | − | 4.25460i | 0.0936281 | − | 0.288158i | ||||
\(219\) | 0.273272 | 0.0184660 | ||||||||
\(220\) | 2.35377 | − | 9.92982i | 0.158691 | − | 0.669468i | ||||
\(221\) | −3.81150 | −0.256389 | ||||||||
\(222\) | 0.437151 | − | 1.34541i | 0.0293396 | − | 0.0902981i | ||||
\(223\) | 19.7704 | − | 14.3640i | 1.32392 | − | 0.961887i | 0.324049 | − | 0.946040i | \(-0.394956\pi\) |
0.999874 | − | 0.0158463i | \(-0.00504425\pi\) | |||||||
\(224\) | −1.09378 | − | 0.794679i | −0.0730813 | − | 0.0530967i | ||||
\(225\) | −4.10674 | − | 12.6392i | −0.273783 | − | 0.842616i | ||||
\(226\) | −3.88129 | − | 11.9454i | −0.258180 | − | 0.794595i | ||||
\(227\) | 18.8116 | + | 13.6674i | 1.24857 | + | 0.907139i | 0.998138 | − | 0.0609952i | \(-0.0194274\pi\) |
0.250432 | + | 0.968134i | \(0.419427\pi\) | |||||||
\(228\) | 0.128416 | − | 0.0932996i | 0.00850455 | − | 0.00617891i | ||||
\(229\) | −0.600618 | + | 1.84851i | −0.0396900 | + | 0.122153i | −0.968938 | − | 0.247303i | \(-0.920456\pi\) |
0.929248 | + | 0.369456i | \(0.120456\pi\) | |||||||
\(230\) | 6.43637 | 0.424402 | ||||||||
\(231\) | 0.709397 | − | 0.0578834i | 0.0466749 | − | 0.00380845i | ||||
\(232\) | −0.277873 | −0.0182433 | ||||||||
\(233\) | 1.68804 | − | 5.19524i | 0.110587 | − | 0.340352i | −0.880414 | − | 0.474206i | \(-0.842735\pi\) |
0.991001 | + | 0.133854i | \(0.0427353\pi\) | |||||||
\(234\) | −1.26770 | + | 0.921040i | −0.0828723 | + | 0.0602103i | ||||
\(235\) | −4.89669 | − | 3.55765i | −0.319425 | − | 0.232076i | ||||
\(236\) | 2.69554 | + | 8.29602i | 0.175465 | + | 0.540025i | ||||
\(237\) | 0.369557 | + | 1.13738i | 0.0240053 | + | 0.0738808i | ||||
\(238\) | −7.91452 | − | 5.75024i | −0.513022 | − | 0.372732i | ||||
\(239\) | 13.0723 | − | 9.49758i | 0.845577 | − | 0.614347i | −0.0783463 | − | 0.996926i | \(-0.524964\pi\) |
0.923923 | + | 0.382579i | \(0.124964\pi\) | |||||||
\(240\) | 0.150924 | − | 0.464497i | 0.00974212 | − | 0.0299832i | ||||
\(241\) | −17.9215 | −1.15442 | −0.577212 | − | 0.816594i | \(-0.695859\pi\) | ||||
−0.577212 | + | 0.816594i | \(0.695859\pi\) | |||||||
\(242\) | 1.65828 | − | 10.8743i | 0.106598 | − | 0.699026i | ||||
\(243\) | 4.23784 | 0.271857 | ||||||||
\(244\) | 1.97372 | − | 6.07450i | 0.126355 | − | 0.388880i | ||||
\(245\) | 12.8749 | − | 9.35414i | 0.822545 | − | 0.597614i | ||||
\(246\) | 1.07530 | + | 0.781248i | 0.0685583 | + | 0.0498106i | ||||
\(247\) | 0.162774 | + | 0.500965i | 0.0103570 | + | 0.0318757i | ||||
\(248\) | −0.532890 | − | 1.64007i | −0.0338386 | − | 0.104144i | ||||
\(249\) | −0.834309 | − | 0.606161i | −0.0528722 | − | 0.0384139i | ||||
\(250\) | 1.32575 | − | 0.963213i | 0.0838477 | − | 0.0609189i | ||||
\(251\) | 8.32956 | − | 25.6357i | 0.525757 | − | 1.61811i | −0.237057 | − | 0.971496i | \(-0.576183\pi\) |
0.762814 | − | 0.646618i | \(-0.223817\pi\) | |||||||
\(252\) | −4.02190 | −0.253356 | ||||||||
\(253\) | 6.91482 | − | 0.564217i | 0.434731 | − | 0.0354720i | ||||
\(254\) | −16.4582 | −1.03268 | ||||||||
\(255\) | 1.09208 | − | 3.36107i | 0.0683885 | − | 0.210478i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | 17.9850 | + | 13.0669i | 1.12188 | + | 0.815090i | 0.984492 | − | 0.175428i | \(-0.0561309\pi\) |
0.137383 | + | 0.990518i | \(0.456131\pi\) | |||||||
\(258\) | 0.309077 | + | 0.951240i | 0.0192423 | + | 0.0592216i | ||||
\(259\) | 3.72343 | + | 11.4595i | 0.231363 | + | 0.712061i | ||||
\(260\) | 1.31122 | + | 0.952655i | 0.0813183 | + | 0.0590812i | ||||
\(261\) | −0.668749 | + | 0.485874i | −0.0413945 | + | 0.0300749i | ||||
\(262\) | 4.68379 | − | 14.4152i | 0.289366 | − | 0.890576i | ||||
\(263\) | −0.840832 | −0.0518479 | −0.0259240 | − | 0.999664i | \(-0.508253\pi\) | ||||
−0.0259240 | + | 0.999664i | \(0.508253\pi\) | |||||||
\(264\) | 0.121425 | − | 0.512256i | 0.00747320 | − | 0.0315271i | ||||
\(265\) | −6.79084 | −0.417158 | ||||||||
\(266\) | −0.417787 | + | 1.28582i | −0.0256162 | + | 0.0788385i | ||||
\(267\) | 1.32933 | − | 0.965814i | 0.0813536 | − | 0.0591069i | ||||
\(268\) | 0.825206 | + | 0.599548i | 0.0504075 | + | 0.0366232i | ||||
\(269\) | 8.22851 | + | 25.3248i | 0.501701 | + | 1.54408i | 0.806246 | + | 0.591580i | \(0.201496\pi\) |
−0.304545 | + | 0.952498i | \(0.598504\pi\) | |||||||
\(270\) | −0.901743 | − | 2.77528i | −0.0548783 | − | 0.168898i | ||||
\(271\) | 20.5335 | + | 14.9185i | 1.24732 | + | 0.906234i | 0.998064 | − | 0.0622026i | \(-0.0198125\pi\) |
0.249260 | + | 0.968436i | \(0.419812\pi\) | |||||||
\(272\) | −5.85399 | + | 4.25317i | −0.354950 | + | 0.257886i | ||||
\(273\) | −0.0349315 | + | 0.107508i | −0.00211415 | + | 0.00650669i | ||||
\(274\) | −5.46038 | −0.329874 | ||||||||
\(275\) | −11.2390 | + | 9.65506i | −0.677739 | + | 0.582222i | ||||
\(276\) | 0.332037 | 0.0199863 | ||||||||
\(277\) | −9.32650 | + | 28.7040i | −0.560375 | + | 1.72466i | 0.120933 | + | 0.992661i | \(0.461411\pi\) |
−0.681308 | + | 0.731997i | \(0.738589\pi\) | |||||||
\(278\) | 7.46676 | − | 5.42492i | 0.447827 | − | 0.325365i | ||||
\(279\) | −4.15022 | − | 3.01531i | −0.248467 | − | 0.180522i | ||||
\(280\) | 1.28550 | + | 3.95635i | 0.0768231 | + | 0.236437i | ||||
\(281\) | 5.19980 | + | 16.0033i | 0.310194 | + | 0.954679i | 0.977688 | + | 0.210063i | \(0.0673670\pi\) |
−0.667494 | + | 0.744615i | \(0.732633\pi\) | |||||||
\(282\) | −0.252608 | − | 0.183531i | −0.0150426 | − | 0.0109291i | ||||
\(283\) | 8.44637 | − | 6.13665i | 0.502085 | − | 0.364786i | −0.307728 | − | 0.951474i | \(-0.599569\pi\) |
0.809813 | + | 0.586688i | \(0.199569\pi\) | |||||||
\(284\) | −1.14764 | + | 3.53208i | −0.0681001 | + | 0.209590i | ||||
\(285\) | −0.488401 | −0.0289304 | ||||||||
\(286\) | 1.49220 | + | 0.908529i | 0.0882355 | + | 0.0537224i | ||||
\(287\) | −11.3209 | −0.668253 | ||||||||
\(288\) | −0.919265 | + | 2.82921i | −0.0541682 | + | 0.166713i | ||||
\(289\) | −28.6057 | + | 20.7833i | −1.68269 | + | 1.22255i | ||||
\(290\) | 0.691704 | + | 0.502552i | 0.0406183 | + | 0.0295109i | ||||
\(291\) | −0.512189 | − | 1.57635i | −0.0300250 | − | 0.0924076i | ||||
\(292\) | 0.532006 | + | 1.63735i | 0.0311333 | + | 0.0958185i | ||||
\(293\) | −10.8426 | − | 7.87761i | −0.633432 | − | 0.460215i | 0.224156 | − | 0.974553i | \(-0.428038\pi\) |
−0.857587 | + | 0.514338i | \(0.828038\pi\) | |||||||
\(294\) | 0.664183 | − | 0.482557i | 0.0387359 | − | 0.0281433i | ||||
\(295\) | 8.29395 | − | 25.5262i | 0.482892 | − | 1.48619i | ||||
\(296\) | 8.91226 | 0.518015 | ||||||||
\(297\) | −1.21206 | − | 2.90253i | −0.0703307 | − | 0.168422i | ||||
\(298\) | −12.3302 | −0.714270 | ||||||||
\(299\) | −0.340494 | + | 1.04793i | −0.0196913 | + | 0.0606035i | ||||
\(300\) | −0.573687 | + | 0.416808i | −0.0331218 | + | 0.0240644i | ||||
\(301\) | −6.89213 | − | 5.00742i | −0.397256 | − | 0.288623i | ||||
\(302\) | 1.12315 | + | 3.45670i | 0.0646300 | + | 0.198911i | ||||
\(303\) | 0.814606 | + | 2.50710i | 0.0467979 | + | 0.144029i | ||||
\(304\) | 0.809017 | + | 0.587785i | 0.0464003 | + | 0.0337118i | ||||
\(305\) | −15.8993 | + | 11.5515i | −0.910390 | + | 0.661437i | ||||
\(306\) | −6.65173 | + | 20.4719i | −0.380254 | + | 1.17030i | ||||
\(307\) | −18.9800 | −1.08325 | −0.541623 | − | 0.840622i | \(-0.682190\pi\) | ||||
−0.541623 | + | 0.840622i | \(0.682190\pi\) | |||||||
\(308\) | 1.72787 | + | 4.13776i | 0.0984545 | + | 0.235771i | ||||
\(309\) | −1.00135 | −0.0569646 | ||||||||
\(310\) | −1.63966 | + | 5.04635i | −0.0931264 | + | 0.286614i | ||||
\(311\) | −10.0930 | + | 7.33301i | −0.572323 | + | 0.415817i | −0.835948 | − | 0.548808i | \(-0.815082\pi\) |
0.263626 | + | 0.964625i | \(0.415082\pi\) | |||||||
\(312\) | 0.0676426 | + | 0.0491452i | 0.00382951 | + | 0.00278230i | ||||
\(313\) | −5.64703 | − | 17.3798i | −0.319189 | − | 0.982364i | −0.973996 | − | 0.226567i | \(-0.927250\pi\) |
0.654806 | − | 0.755797i | \(-0.272750\pi\) | |||||||
\(314\) | −0.269323 | − | 0.828892i | −0.0151988 | − | 0.0467771i | ||||
\(315\) | 10.0116 | + | 7.27387i | 0.564091 | + | 0.409836i | ||||
\(316\) | −6.09532 | + | 4.42851i | −0.342888 | + | 0.249123i | ||||
\(317\) | −4.07378 | + | 12.5378i | −0.228806 | + | 0.704193i | 0.769077 | + | 0.639156i | \(0.220716\pi\) |
−0.997883 | + | 0.0650364i | \(0.979284\pi\) | |||||||
\(318\) | −0.350323 | −0.0196451 | ||||||||
\(319\) | 0.787176 | + | 0.479274i | 0.0440734 | + | 0.0268342i | ||||
\(320\) | 3.07692 | 0.172005 | ||||||||
\(321\) | 0.647462 | − | 1.99268i | 0.0361378 | − | 0.111221i | ||||
\(322\) | −2.28800 | + | 1.66233i | −0.127505 | + | 0.0926380i | ||||
\(323\) | 5.85399 | + | 4.25317i | 0.325725 | + | 0.236653i | ||||
\(324\) | 2.71128 | + | 8.34445i | 0.150626 | + | 0.463581i | ||||
\(325\) | −0.727177 | − | 2.23802i | −0.0403365 | − | 0.124143i | ||||
\(326\) | 6.25832 | + | 4.54694i | 0.346616 | + | 0.251832i | ||||
\(327\) | −0.574475 | + | 0.417380i | −0.0317685 | + | 0.0230812i | ||||
\(328\) | −2.58757 | + | 7.96371i | −0.142875 | + | 0.439723i | ||||
\(329\) | 2.65951 | 0.146624 | ||||||||
\(330\) | −1.22871 | + | 1.05554i | −0.0676382 | + | 0.0581056i | ||||
\(331\) | 3.69222 | 0.202943 | 0.101471 | − | 0.994838i | \(-0.467645\pi\) | ||||
0.101471 | + | 0.994838i | \(0.467645\pi\) | |||||||
\(332\) | 2.00766 | − | 6.17895i | 0.110185 | − | 0.339114i | ||||
\(333\) | 21.4489 | − | 15.5835i | 1.17539 | − | 0.853971i | ||||
\(334\) | −17.6596 | − | 12.8304i | −0.966288 | − | 0.702049i | ||||
\(335\) | −0.969847 | − | 2.98488i | −0.0529884 | − | 0.163081i | ||||
\(336\) | 0.0663157 | + | 0.204099i | 0.00361782 | + | 0.0111345i | ||||
\(337\) | −21.2757 | − | 15.4577i | −1.15896 | − | 0.842036i | −0.169317 | − | 0.985562i | \(-0.554156\pi\) |
−0.989647 | + | 0.143525i | \(0.954156\pi\) | |||||||
\(338\) | 10.2927 | − | 7.47812i | 0.559852 | − | 0.406756i | ||||
\(339\) | −0.616080 | + | 1.89610i | −0.0334609 | + | 0.102982i | ||||
\(340\) | 22.2643 | 1.20745 | ||||||||
\(341\) | −1.31918 | + | 5.56520i | −0.0714374 | + | 0.301373i | ||||
\(342\) | 2.97480 | 0.160859 | ||||||||
\(343\) | −5.08536 | + | 15.6511i | −0.274584 | + | 0.845082i | ||||
\(344\) | −5.09777 | + | 3.70375i | −0.274853 | + | 0.199693i | ||||
\(345\) | −0.826532 | − | 0.600511i | −0.0444990 | − | 0.0323304i | ||||
\(346\) | −3.40232 | − | 10.4713i | −0.182910 | − | 0.562939i | ||||
\(347\) | −1.64812 | − | 5.07239i | −0.0884757 | − | 0.272300i | 0.897023 | − | 0.441984i | \(-0.145725\pi\) |
−0.985499 | + | 0.169684i | \(0.945725\pi\) | |||||||
\(348\) | 0.0356833 | + | 0.0259255i | 0.00191283 | + | 0.00138975i | ||||
\(349\) | −15.7313 | + | 11.4295i | −0.842078 | + | 0.611806i | −0.922950 | − | 0.384919i | \(-0.874229\pi\) |
0.0808722 | + | 0.996724i | \(0.474229\pi\) | |||||||
\(350\) | 1.86643 | − | 5.74428i | 0.0997649 | − | 0.307045i | ||||
\(351\) | 0.499558 | 0.0266644 | ||||||||
\(352\) | 3.30564 | − | 0.269725i | 0.176191 | − | 0.0143764i | ||||
\(353\) | −27.8728 | −1.48352 | −0.741761 | − | 0.670665i | \(-0.766009\pi\) | ||||
−0.741761 | + | 0.670665i | \(0.766009\pi\) | |||||||
\(354\) | 0.427865 | − | 1.31683i | 0.0227408 | − | 0.0699889i | ||||
\(355\) | 9.24480 | − | 6.71674i | 0.490663 | − | 0.356488i | ||||
\(356\) | 8.37475 | + | 6.08461i | 0.443861 | + | 0.322484i | ||||
\(357\) | 0.479855 | + | 1.47684i | 0.0253966 | + | 0.0781628i | ||||
\(358\) | −3.87900 | − | 11.9383i | −0.205011 | − | 0.630960i | ||||
\(359\) | −28.9092 | − | 21.0038i | −1.52577 | − | 1.10854i | −0.958533 | − | 0.284982i | \(-0.908012\pi\) |
−0.567237 | − | 0.823555i | \(-0.691988\pi\) | |||||||
\(360\) | 7.40512 | − | 5.38013i | 0.390284 | − | 0.283558i | ||||
\(361\) | 0.309017 | − | 0.951057i | 0.0162641 | − | 0.0500556i | ||||
\(362\) | −3.45298 | −0.181485 | ||||||||
\(363\) | −1.22752 | + | 1.24171i | −0.0644278 | + | 0.0651731i | ||||
\(364\) | −0.712155 | −0.0373270 | ||||||||
\(365\) | 1.63694 | − | 5.03798i | 0.0856813 | − | 0.263700i | ||||
\(366\) | −0.820205 | + | 0.595914i | −0.0428728 | + | 0.0311489i | ||||
\(367\) | −30.5927 | − | 22.2269i | −1.59693 | − | 1.16024i | −0.893092 | − | 0.449873i | \(-0.851469\pi\) |
−0.703836 | − | 0.710363i | \(-0.748531\pi\) | |||||||
\(368\) | 0.646410 | + | 1.98944i | 0.0336964 | + | 0.103707i | ||||
\(369\) | 7.69751 | + | 23.6905i | 0.400716 | + | 1.23328i | ||||
\(370\) | −22.1851 | − | 16.1184i | −1.15335 | − | 0.837957i | ||||
\(371\) | 2.41400 | − | 1.75388i | 0.125329 | − | 0.0910567i | ||||
\(372\) | −0.0845860 | + | 0.260329i | −0.00438558 | + | 0.0134974i | ||||
\(373\) | −20.1806 | −1.04491 | −0.522456 | − | 0.852667i | \(-0.674984\pi\) | ||||
−0.522456 | + | 0.852667i | \(0.674984\pi\) | |||||||
\(374\) | 23.9194 | − | 1.95171i | 1.23684 | − | 0.100920i | ||||
\(375\) | −0.260114 | −0.0134322 | ||||||||
\(376\) | 0.607871 | − | 1.87083i | 0.0313486 | − | 0.0964809i | ||||
\(377\) | −0.118415 | + | 0.0860334i | −0.00609867 | + | 0.00443095i | ||||
\(378\) | 1.03733 | + | 0.753661i | 0.0533543 | + | 0.0387642i | ||||
\(379\) | −10.1095 | − | 31.1140i | −0.519293 | − | 1.59822i | −0.775333 | − | 0.631552i | \(-0.782418\pi\) |
0.256041 | − | 0.966666i | \(-0.417582\pi\) | |||||||
\(380\) | −0.950820 | − | 2.92632i | −0.0487760 | − | 0.150117i | ||||
\(381\) | 2.11349 | + | 1.53554i | 0.108277 | + | 0.0786680i | ||||
\(382\) | −17.2497 | + | 12.5327i | −0.882573 | + | 0.641227i | ||||
\(383\) | −7.93607 | + | 24.4247i | −0.405514 | + | 1.24805i | 0.514950 | + | 0.857220i | \(0.327810\pi\) |
−0.920465 | + | 0.390825i | \(0.872190\pi\) | |||||||
\(384\) | 0.158731 | 0.00810019 | ||||||||
\(385\) | 3.18226 | − | 13.4250i | 0.162183 | − | 0.684201i | ||||
\(386\) | 23.4522 | 1.19369 | ||||||||
\(387\) | −5.79247 | + | 17.8274i | −0.294448 | + | 0.906217i | ||||
\(388\) | 8.44782 | − | 6.13770i | 0.428873 | − | 0.311594i | ||||
\(389\) | 3.61505 | + | 2.62649i | 0.183290 | + | 0.133168i | 0.675647 | − | 0.737225i | \(-0.263864\pi\) |
−0.492357 | + | 0.870394i | \(0.663864\pi\) | |||||||
\(390\) | −0.0794988 | − | 0.244672i | −0.00402558 | − | 0.0123895i | ||||
\(391\) | 4.67737 | + | 14.3955i | 0.236545 | + | 0.728010i | ||||
\(392\) | 4.18434 | + | 3.04010i | 0.211341 | + | 0.153548i | ||||
\(393\) | −1.94641 | + | 1.41415i | −0.0981833 | + | 0.0713344i | ||||
\(394\) | −2.40911 | + | 7.41448i | −0.121369 | + | 0.373536i | ||||
\(395\) | 23.1822 | 1.16642 | ||||||||
\(396\) | 7.48395 | − | 6.42920i | 0.376083 | − | 0.323079i | ||||
\(397\) | 28.8810 | 1.44950 | 0.724748 | − | 0.689014i | \(-0.241956\pi\) | ||||
0.724748 | + | 0.689014i | \(0.241956\pi\) | |||||||
\(398\) | −2.93035 | + | 9.01869i | −0.146885 | + | 0.452066i | ||||
\(399\) | 0.173617 | − | 0.126140i | 0.00869171 | − | 0.00631489i | ||||
\(400\) | −3.61422 | − | 2.62588i | −0.180711 | − | 0.131294i | ||||
\(401\) | 0.246422 | + | 0.758410i | 0.0123057 | + | 0.0378732i | 0.957021 | − | 0.290019i | \(-0.0936617\pi\) |
−0.944715 | + | 0.327892i | \(0.893662\pi\) | |||||||
\(402\) | −0.0500320 | − | 0.153983i | −0.00249537 | − | 0.00767996i | ||||
\(403\) | −0.734877 | − | 0.533919i | −0.0366068 | − | 0.0265964i | ||||
\(404\) | −13.4358 | + | 9.76165i | −0.668454 | + | 0.485660i | ||||
\(405\) | 8.34237 | − | 25.6752i | 0.414536 | − | 1.27581i | ||||
\(406\) | −0.375681 | −0.0186448 | ||||||||
\(407\) | −25.2472 | − | 15.3718i | −1.25146 | − | 0.761953i | ||||
\(408\) | 1.14856 | 0.0568624 | ||||||||
\(409\) | 7.02210 | − | 21.6118i | 0.347220 | − | 1.06863i | −0.613164 | − | 0.789956i | \(-0.710103\pi\) |
0.960384 | − | 0.278679i | \(-0.0898965\pi\) | |||||||
\(410\) | 20.8441 | − | 15.1441i | 1.02942 | − | 0.747914i | ||||
\(411\) | 0.701200 | + | 0.509451i | 0.0345876 | + | 0.0251294i | ||||
\(412\) | −1.94942 | − | 5.99971i | −0.0960412 | − | 0.295584i | ||||
\(413\) | 3.64434 | + | 11.2161i | 0.179326 | + | 0.551909i | ||||
\(414\) | 5.03433 | + | 3.65765i | 0.247424 | + | 0.179764i | ||||
\(415\) | −16.1727 | + | 11.7501i | −0.793885 | + | 0.576791i | ||||
\(416\) | −0.162774 | + | 0.500965i | −0.00798063 | + | 0.0245619i | ||||
\(417\) | −1.46499 | −0.0717410 | ||||||||
\(418\) | −1.27802 | − | 3.06050i | −0.0625101 | − | 0.149694i | ||||
\(419\) | −0.427754 | −0.0208971 | −0.0104486 | − | 0.999945i | \(-0.503326\pi\) | ||||
−0.0104486 | + | 0.999945i | \(0.503326\pi\) | |||||||
\(420\) | 0.204048 | − | 0.627995i | 0.00995651 | − | 0.0306430i | ||||
\(421\) | 7.84525 | − | 5.69990i | 0.382354 | − | 0.277796i | −0.379961 | − | 0.925002i | \(-0.624063\pi\) |
0.762315 | + | 0.647206i | \(0.224063\pi\) | |||||||
\(422\) | −12.6167 | − | 9.16655i | −0.614170 | − | 0.446221i | ||||
\(423\) | −1.80830 | − | 5.56537i | −0.0879224 | − | 0.270597i | ||||
\(424\) | −0.682009 | − | 2.09901i | −0.0331213 | − | 0.101937i | ||||
\(425\) | −26.1522 | − | 19.0007i | −1.26857 | − | 0.921669i | ||||
\(426\) | 0.476917 | − | 0.346501i | 0.0231067 | − | 0.0167880i | ||||
\(427\) | 2.66845 | − | 8.21265i | 0.129135 | − | 0.397438i | ||||
\(428\) | 13.1999 | 0.638041 | ||||||||
\(429\) | −0.106856 | − | 0.255891i | −0.00515908 | − | 0.0123545i | ||||
\(430\) | 19.3882 | 0.934984 | ||||||||
\(431\) | −2.07150 | + | 6.37543i | −0.0997808 | + | 0.307094i | −0.988470 | − | 0.151416i | \(-0.951617\pi\) |
0.888689 | + | 0.458510i | \(0.151617\pi\) | |||||||
\(432\) | 0.767260 | − | 0.557447i | 0.0369148 | − | 0.0268202i | ||||
\(433\) | 12.4405 | + | 9.03858i | 0.597854 | + | 0.434366i | 0.845117 | − | 0.534582i | \(-0.179531\pi\) |
−0.247262 | + | 0.968949i | \(0.579531\pi\) | |||||||
\(434\) | −0.720461 | − | 2.21735i | −0.0345832 | − | 0.106436i | ||||
\(435\) | −0.0419378 | − | 0.129071i | −0.00201077 | − | 0.00618850i | ||||
\(436\) | −3.61918 | − | 2.62949i | −0.173327 | − | 0.125930i | ||||
\(437\) | 1.69232 | − | 1.22954i | 0.0809548 | − | 0.0588171i | ||||
\(438\) | 0.0844458 | − | 0.259897i | 0.00403497 | − | 0.0124184i | ||||
\(439\) | −2.15073 | −0.102649 | −0.0513244 | − | 0.998682i | \(-0.516344\pi\) | ||||
−0.0513244 | + | 0.998682i | \(0.516344\pi\) | |||||||
\(440\) | −8.71647 | − | 5.30705i | −0.415541 | − | 0.253004i | ||||
\(441\) | 15.3861 | 0.732670 | ||||||||
\(442\) | −1.17782 | + | 3.62495i | −0.0560231 | + | 0.172421i | ||||
\(443\) | −24.5813 | + | 17.8593i | −1.16789 | + | 0.848523i | −0.990755 | − | 0.135663i | \(-0.956683\pi\) |
−0.177137 | + | 0.984186i | \(0.556683\pi\) | |||||||
\(444\) | −1.14448 | − | 0.831510i | −0.0543144 | − | 0.0394617i | ||||
\(445\) | −9.84265 | − | 30.2926i | −0.466586 | − | 1.43601i | ||||
\(446\) | −7.55162 | − | 23.2415i | −0.357579 | − | 1.10052i | ||||
\(447\) | 1.58339 | + | 1.15040i | 0.0748919 | + | 0.0544122i | ||||
\(448\) | −1.09378 | + | 0.794679i | −0.0516763 | + | 0.0375450i | ||||
\(449\) | 1.03260 | − | 3.17801i | 0.0487313 | − | 0.149979i | −0.923730 | − | 0.383045i | \(-0.874876\pi\) |
0.972461 | + | 0.233065i | \(0.0748756\pi\) | |||||||
\(450\) | −13.2897 | −0.626482 | ||||||||
\(451\) | 21.0660 | − | 18.0971i | 0.991958 | − | 0.852157i | ||||
\(452\) | −12.5601 | −0.590778 | ||||||||
\(453\) | 0.178278 | − | 0.548684i | 0.00837625 | − | 0.0257794i | ||||
\(454\) | 18.8116 | − | 13.6674i | 0.882872 | − | 0.641444i | ||||
\(455\) | 1.77275 | + | 1.28798i | 0.0831078 | + | 0.0603814i | ||||
\(456\) | −0.0490505 | − | 0.150962i | −0.00229700 | − | 0.00706944i | ||||
\(457\) | 9.08138 | + | 27.9496i | 0.424809 | + | 1.30743i | 0.903177 | + | 0.429269i | \(0.141229\pi\) |
−0.478368 | + | 0.878160i | \(0.658771\pi\) | |||||||
\(458\) | 1.57244 | + | 1.14244i | 0.0734752 | + | 0.0533829i | ||||
\(459\) | 5.55183 | − | 4.03364i | 0.259137 | − | 0.188274i | ||||
\(460\) | 1.98895 | − | 6.12135i | 0.0927352 | − | 0.285410i | ||||
\(461\) | −1.74308 | −0.0811833 | −0.0405917 | − | 0.999176i | \(-0.512924\pi\) | ||||
−0.0405917 | + | 0.999176i | \(0.512924\pi\) | |||||||
\(462\) | 0.164165 | − | 0.692563i | 0.00763766 | − | 0.0322210i | ||||
\(463\) | −31.2015 | −1.45006 | −0.725029 | − | 0.688718i | \(-0.758174\pi\) | ||||
−0.725029 | + | 0.688718i | \(0.758174\pi\) | |||||||
\(464\) | −0.0858676 | + | 0.264273i | −0.00398630 | + | 0.0122686i | ||||
\(465\) | 0.681381 | − | 0.495052i | 0.0315983 | − | 0.0229575i | ||||
\(466\) | −4.41934 | − | 3.21084i | −0.204722 | − | 0.148739i | ||||
\(467\) | 8.05709 | + | 24.7972i | 0.372838 | + | 1.14748i | 0.944926 | + | 0.327284i | \(0.106133\pi\) |
−0.572088 | + | 0.820192i | \(0.693867\pi\) | |||||||
\(468\) | 0.484219 | + | 1.49027i | 0.0223831 | + | 0.0688880i | ||||
\(469\) | 1.11567 | + | 0.810581i | 0.0515168 | + | 0.0374292i | ||||
\(470\) | −4.89669 | + | 3.55765i | −0.225867 | + | 0.164102i | ||||
\(471\) | −0.0427499 | + | 0.131571i | −0.00196981 | + | 0.00606246i | ||||
\(472\) | 8.72295 | 0.401506 | ||||||||
\(473\) | 20.8295 | − | 1.69959i | 0.957740 | − | 0.0781470i | ||||
\(474\) | 1.19591 | 0.0549301 | ||||||||
\(475\) | −1.38051 | + | 4.24877i | −0.0633420 | + | 0.194947i | ||||
\(476\) | −7.91452 | + | 5.75024i | −0.362761 | + | 0.263562i | ||||
\(477\) | −5.31158 | − | 3.85909i | −0.243200 | − | 0.176695i | ||||
\(478\) | −4.99317 | − | 15.3674i | −0.228382 | − | 0.702889i | ||||
\(479\) | −9.08342 | − | 27.9559i | −0.415032 | − | 1.27734i | −0.912222 | − | 0.409696i | \(-0.865635\pi\) |
0.497190 | − | 0.867642i | \(-0.334365\pi\) | |||||||
\(480\) | −0.395125 | − | 0.287075i | −0.0180349 | − | 0.0131031i | ||||
\(481\) | 3.79793 | − | 2.75936i | 0.173171 | − | 0.125816i | ||||
\(482\) | −5.53804 | + | 17.0443i | −0.252251 | + | 0.776349i | ||||
\(483\) | 0.448910 | 0.0204261 | ||||||||
\(484\) | −9.82963 | − | 4.93746i | −0.446801 | − | 0.224430i | ||||
\(485\) | −32.1294 | −1.45892 | ||||||||
\(486\) | 1.30956 | − | 4.03042i | 0.0594030 | − | 0.182824i | ||||
\(487\) | −34.8621 | + | 25.3288i | −1.57975 | + | 1.14776i | −0.662771 | + | 0.748822i | \(0.730620\pi\) |
−0.916980 | + | 0.398934i | \(0.869380\pi\) | |||||||
\(488\) | −5.16727 | − | 3.75424i | −0.233912 | − | 0.169947i | ||||
\(489\) | −0.379440 | − | 1.16780i | −0.0171589 | − | 0.0528096i | ||||
\(490\) | −4.91776 | − | 15.1353i | −0.222162 | − | 0.683744i | ||||
\(491\) | 23.8984 | + | 17.3632i | 1.07852 | + | 0.783591i | 0.977424 | − | 0.211285i | \(-0.0677649\pi\) |
0.101097 | + | 0.994877i | \(0.467765\pi\) | |||||||
\(492\) | 1.07530 | − | 0.781248i | 0.0484781 | − | 0.0352214i | ||||
\(493\) | −0.621332 | + | 1.91226i | −0.0279834 | + | 0.0861239i | ||||
\(494\) | 0.526746 | 0.0236994 | ||||||||
\(495\) | −30.2573 | + | 2.46885i | −1.35996 | + | 0.110967i | ||||
\(496\) | −1.72447 | −0.0774309 | ||||||||
\(497\) | −1.55160 | + | 4.77533i | −0.0695987 | + | 0.214203i | ||||
\(498\) | −0.834309 | + | 0.606161i | −0.0373863 | + | 0.0271627i | ||||
\(499\) | 22.5647 | + | 16.3942i | 1.01013 | + | 0.733905i | 0.964237 | − | 0.265041i | \(-0.0853855\pi\) |
0.0458967 | + | 0.998946i | \(0.485385\pi\) | |||||||
\(500\) | −0.506391 | − | 1.55851i | −0.0226465 | − | 0.0696987i | ||||
\(501\) | 1.07069 | + | 3.29526i | 0.0478351 | + | 0.147221i | ||||
\(502\) | −21.8071 | − | 15.8438i | −0.973297 | − | 0.707142i | ||||
\(503\) | −0.0392283 | + | 0.0285010i | −0.00174910 | + | 0.00127080i | −0.588659 | − | 0.808381i | \(-0.700344\pi\) |
0.586910 | + | 0.809652i | \(0.300344\pi\) | |||||||
\(504\) | −1.24284 | + | 3.82505i | −0.0553603 | + | 0.170381i | ||||
\(505\) | 51.0999 | 2.27392 | ||||||||
\(506\) | 1.60020 | − | 6.75074i | 0.0711373 | − | 0.300107i | ||||
\(507\) | −2.01946 | −0.0896873 | ||||||||
\(508\) | −5.08585 | + | 15.6526i | −0.225648 | + | 0.694473i | ||||
\(509\) | −7.89027 | + | 5.73262i | −0.349730 | + | 0.254094i | −0.748756 | − | 0.662846i | \(-0.769348\pi\) |
0.399026 | + | 0.916940i | \(0.369348\pi\) | |||||||
\(510\) | −2.85909 | − | 2.07725i | −0.126603 | − | 0.0919823i | ||||
\(511\) | 0.719266 | + | 2.21367i | 0.0318185 | + | 0.0979272i | ||||
\(512\) | 0.309017 | + | 0.951057i | 0.0136568 | + | 0.0420312i | ||||
\(513\) | −0.767260 | − | 0.557447i | −0.0338753 | − | 0.0246119i | ||||
\(514\) | 17.9850 | − | 13.0669i | 0.793286 | − | 0.576356i | ||||
\(515\) | −5.99821 | + | 18.4606i | −0.264313 | + | 0.813471i | ||||
\(516\) | 1.00019 | 0.0440310 | ||||||||
\(517\) | −4.94882 | + | 4.25136i | −0.217649 | + | 0.186974i | ||||
\(518\) | 12.0493 | 0.529415 | ||||||||
\(519\) | −0.540053 | + | 1.66211i | −0.0237057 | + | 0.0729587i | ||||
\(520\) | 1.31122 | − | 0.952655i | 0.0575007 | − | 0.0417767i | ||||
\(521\) | 32.6905 | + | 23.7511i | 1.43220 | + | 1.04055i | 0.989602 | + | 0.143831i | \(0.0459423\pi\) |
0.442596 | + | 0.896721i | \(0.354058\pi\) | |||||||
\(522\) | 0.255439 | + | 0.786161i | 0.0111803 | + | 0.0344093i | ||||
\(523\) | 7.03688 | + | 21.6573i | 0.307701 | + | 0.947007i | 0.978655 | + | 0.205508i | \(0.0658846\pi\) |
−0.670954 | + | 0.741499i | \(0.734115\pi\) | |||||||
\(524\) | −12.2623 | − | 8.90910i | −0.535682 | − | 0.389196i | ||||
\(525\) | −0.775618 | + | 0.563519i | −0.0338507 | + | 0.0245940i | ||||
\(526\) | −0.259831 | + | 0.799678i | −0.0113292 | + | 0.0348676i | ||||
\(527\) | −12.4781 | −0.543556 | ||||||||
\(528\) | −0.449662 | − | 0.273778i | −0.0195690 | − | 0.0119146i | ||||
\(529\) | −18.6243 | −0.809751 | ||||||||
\(530\) | −2.09848 | + | 6.45847i | −0.0911523 | + | 0.280538i | ||||
\(531\) | 20.9932 | − | 15.2525i | 0.911029 | − | 0.661901i | ||||
\(532\) | 1.09378 | + | 0.794679i | 0.0474214 | + | 0.0344537i | ||||
\(533\) | 1.36299 | + | 4.19486i | 0.0590377 | + | 0.181699i | ||||
\(534\) | −0.507759 | − | 1.56272i | −0.0219729 | − | 0.0676255i | ||||
\(535\) | −32.8582 | − | 23.8729i | −1.42058 | − | 1.03212i | ||||
\(536\) | 0.825206 | − | 0.599548i | 0.0356435 | − | 0.0258965i | ||||
\(537\) | −0.615716 | + | 1.89498i | −0.0265701 | + | 0.0817744i | ||||
\(538\) | 26.6280 | 1.14802 | ||||||||
\(539\) | −6.61009 | − | 15.8293i | −0.284717 | − | 0.681816i | ||||
\(540\) | −2.91810 | −0.125575 | ||||||||
\(541\) | −2.29152 | + | 7.05258i | −0.0985202 | + | 0.303214i | −0.988155 | − | 0.153459i | \(-0.950959\pi\) |
0.889635 | + | 0.456672i | \(0.150959\pi\) | |||||||
\(542\) | 20.5335 | − | 14.9185i | 0.881991 | − | 0.640804i | ||||
\(543\) | 0.443417 | + | 0.322162i | 0.0190289 | + | 0.0138253i | ||||
\(544\) | 2.23602 | + | 6.88177i | 0.0958687 | + | 0.295054i | ||||
\(545\) | 4.25354 | + | 13.0910i | 0.182202 | + | 0.560759i | ||||
\(546\) | 0.0914519 | + | 0.0664437i | 0.00391378 | + | 0.00284353i | ||||
\(547\) | −1.95709 | + | 1.42191i | −0.0836793 | + | 0.0607966i | −0.628838 | − | 0.777536i | \(-0.716469\pi\) |
0.545159 | + | 0.838333i | \(0.316469\pi\) | |||||||
\(548\) | −1.68735 | + | 5.19313i | −0.0720801 | + | 0.221840i | ||||
\(549\) | −19.0004 | −0.810917 | ||||||||
\(550\) | 5.70946 | + | 13.6725i | 0.243452 | + | 0.582999i | ||||
\(551\) | 0.277873 | 0.0118378 | ||||||||
\(552\) | 0.102605 | − | 0.315786i | 0.00436716 | − | 0.0134407i | ||||
\(553\) | −8.24080 | + | 5.98729i | −0.350434 | + | 0.254605i | ||||
\(554\) | 24.4171 | + | 17.7401i | 1.03738 | + | 0.753703i | ||||
\(555\) | 1.34508 | + | 4.13972i | 0.0570953 | + | 0.175721i | ||||
\(556\) | −2.85205 | − | 8.77771i | −0.120954 | − | 0.372258i | ||||
\(557\) | −0.333458 | − | 0.242271i | −0.0141291 | − | 0.0102654i | 0.580698 | − | 0.814119i | \(-0.302780\pi\) |
−0.594827 | + | 0.803853i | \(0.702780\pi\) | |||||||
\(558\) | −4.15022 | + | 3.01531i | −0.175693 | + | 0.127648i | ||||
\(559\) | −1.02567 | + | 3.15668i | −0.0433811 | + | 0.133513i | ||||
\(560\) | 4.15995 | 0.175790 | ||||||||
\(561\) | −3.25372 | − | 1.98104i | −0.137372 | − | 0.0836394i | ||||
\(562\) | 16.8269 | 0.709800 | ||||||||
\(563\) | 1.38762 | − | 4.27067i | 0.0584814 | − | 0.179987i | −0.917548 | − | 0.397624i | \(-0.869835\pi\) |
0.976030 | + | 0.217637i | \(0.0698348\pi\) | |||||||
\(564\) | −0.252608 | + | 0.183531i | −0.0106367 | + | 0.00772804i | ||||
\(565\) | 31.2656 | + | 22.7158i | 1.31535 | + | 0.955661i | ||||
\(566\) | −3.22623 | − | 9.92931i | −0.135608 | − | 0.417360i | ||||
\(567\) | 3.66561 | + | 11.2816i | 0.153941 | + | 0.473783i | ||||
\(568\) | 3.00457 | + | 2.18295i | 0.126069 | + | 0.0915944i | ||||
\(569\) | 26.3998 | − | 19.1806i | 1.10674 | − | 0.804091i | 0.124589 | − | 0.992208i | \(-0.460239\pi\) |
0.982146 | + | 0.188118i | \(0.0602387\pi\) | |||||||
\(570\) | −0.150924 | + | 0.464497i | −0.00632152 | + | 0.0194556i | ||||
\(571\) | 18.1484 | 0.759486 | 0.379743 | − | 0.925092i | \(-0.376012\pi\) | ||||
0.379743 | + | 0.925092i | \(0.376012\pi\) | |||||||
\(572\) | 1.32518 | − | 1.13841i | 0.0554084 | − | 0.0475994i | ||||
\(573\) | 3.38443 | 0.141387 | ||||||||
\(574\) | −3.49836 | + | 10.7668i | −0.146019 | + | 0.449399i | ||||
\(575\) | −7.56031 | + | 5.49289i | −0.315287 | + | 0.229069i | ||||
\(576\) | 2.40667 | + | 1.74855i | 0.100278 | + | 0.0728561i | ||||
\(577\) | −6.77358 | − | 20.8469i | −0.281988 | − | 0.867870i | −0.987285 | − | 0.158958i | \(-0.949186\pi\) |
0.705297 | − | 0.708912i | \(-0.250814\pi\) | |||||||
\(578\) | 10.9264 | + | 33.6280i | 0.454479 | + | 1.39874i | ||||
\(579\) | −3.01164 | − | 2.18808i | −0.125159 | − | 0.0909335i | ||||
\(580\) | 0.691704 | − | 0.502552i | 0.0287214 | − | 0.0208674i | ||||
\(581\) | 2.71433 | − | 8.35386i | 0.112610 | − | 0.346577i | ||||
\(582\) | −1.65748 | −0.0687047 | ||||||||
\(583\) | −1.68832 | + | 7.12251i | −0.0699231 | + | 0.294984i | ||||
\(584\) | 1.72161 | 0.0712407 | ||||||||
\(585\) | 1.48990 | − | 4.58545i | 0.0615999 | − | 0.189585i | ||||
\(586\) | −10.8426 | + | 7.87761i | −0.447904 | + | 0.325421i | ||||
\(587\) | −13.6928 | − | 9.94843i | −0.565164 | − | 0.410616i | 0.268181 | − | 0.963368i | \(-0.413577\pi\) |
−0.833345 | + | 0.552753i | \(0.813577\pi\) | |||||||
\(588\) | −0.253695 | − | 0.780794i | −0.0104622 | − | 0.0321994i | ||||
\(589\) | 0.532890 | + | 1.64007i | 0.0219574 | + | 0.0675778i | ||||
\(590\) | −21.7138 | − | 15.7760i | −0.893945 | − | 0.649489i | ||||
\(591\) | 1.00114 | − | 0.727368i | 0.0411812 | − | 0.0299199i | ||||
\(592\) | 2.75404 | − | 8.47607i | 0.113190 | − | 0.348364i | ||||
\(593\) | 9.83301 | 0.403793 | 0.201897 | − | 0.979407i | \(-0.435290\pi\) | ||||
0.201897 | + | 0.979407i | \(0.435290\pi\) | |||||||
\(594\) | −3.13502 | + | 0.255803i | −0.128631 | + | 0.0104957i | ||||
\(595\) | 30.1011 | 1.23403 | ||||||||
\(596\) | −3.81024 | + | 11.7267i | −0.156074 | + | 0.480345i | ||||
\(597\) | 1.21774 | − | 0.884742i | 0.0498389 | − | 0.0362101i | ||||
\(598\) | 0.891425 | + | 0.647658i | 0.0364531 | + | 0.0264847i | ||||
\(599\) | 13.3537 | + | 41.0985i | 0.545618 | + | 1.67924i | 0.719515 | + | 0.694477i | \(0.244364\pi\) |
−0.173896 | + | 0.984764i | \(0.555636\pi\) | |||||||
\(600\) | 0.219129 | + | 0.674410i | 0.00894590 | + | 0.0275327i | ||||
\(601\) | 5.34288 | + | 3.88183i | 0.217941 | + | 0.158343i | 0.691399 | − | 0.722473i | \(-0.256995\pi\) |
−0.473459 | + | 0.880816i | \(0.656995\pi\) | |||||||
\(602\) | −6.89213 | + | 5.00742i | −0.280902 | + | 0.204087i | ||||
\(603\) | 0.937661 | − | 2.88582i | 0.0381845 | − | 0.117520i | ||||
\(604\) | 3.63459 | 0.147889 | ||||||||
\(605\) | 15.5390 | + | 30.0682i | 0.631748 | + | 1.22245i | ||||
\(606\) | 2.63612 | 0.107085 | ||||||||
\(607\) | 6.07820 | − | 18.7068i | 0.246707 | − | 0.759285i | −0.748645 | − | 0.662972i | \(-0.769295\pi\) |
0.995351 | − | 0.0963130i | \(-0.0307050\pi\) | |||||||
\(608\) | 0.809017 | − | 0.587785i | 0.0328100 | − | 0.0238378i | ||||
\(609\) | 0.0482435 | + | 0.0350509i | 0.00195492 | + | 0.00142033i | ||||
\(610\) | 6.07298 | + | 18.6907i | 0.245888 | + | 0.756765i | ||||
\(611\) | −0.320194 | − | 0.985455i | −0.0129537 | − | 0.0398672i | ||||
\(612\) | 17.4145 | + | 12.6524i | 0.703938 | + | 0.511441i | ||||
\(613\) | 1.25872 | − | 0.914512i | 0.0508392 | − | 0.0369368i | −0.562075 | − | 0.827086i | \(-0.689997\pi\) |
0.612915 | + | 0.790149i | \(0.289997\pi\) | |||||||
\(614\) | −5.86514 | + | 18.0510i | −0.236698 | + | 0.728481i | ||||
\(615\) | −4.08965 | −0.164911 | ||||||||
\(616\) | 4.46918 | − | 0.364664i | 0.180069 | − | 0.0146927i | ||||
\(617\) | −43.2521 | −1.74126 | −0.870632 | − | 0.491935i | \(-0.836290\pi\) | ||||
−0.870632 | + | 0.491935i | \(0.836290\pi\) | |||||||
\(618\) | −0.309433 | + | 0.952338i | −0.0124472 | + | 0.0383086i | ||||
\(619\) | −2.64523 | + | 1.92188i | −0.106321 | + | 0.0772467i | −0.639675 | − | 0.768645i | \(-0.720931\pi\) |
0.533354 | + | 0.845892i | \(0.320931\pi\) | |||||||
\(620\) | 4.29268 | + | 3.11882i | 0.172398 | + | 0.125255i | ||||
\(621\) | −0.613045 | − | 1.88676i | −0.0246007 | − | 0.0757130i | ||||
\(622\) | 3.85519 | + | 11.8651i | 0.154579 | + | 0.475745i | ||||
\(623\) | 11.3226 | + | 8.22632i | 0.453629 | + | 0.329581i | ||||
\(624\) | 0.0676426 | − | 0.0491452i | 0.00270787 | − | 0.00196738i | ||||
\(625\) | −8.46066 | + | 26.0392i | −0.338426 | + | 1.04157i | ||||
\(626\) | −18.2742 | −0.730383 | ||||||||
\(627\) | −0.121425 | + | 0.512256i | −0.00484925 | + | 0.0204575i | ||||
\(628\) | −0.871549 | −0.0347786 | ||||||||
\(629\) | 19.9280 | − | 61.3322i | 0.794583 | − | 2.44547i | ||||
\(630\) | 10.0116 | − | 7.27387i | 0.398873 | − | 0.289798i | ||||
\(631\) | −22.3797 | − | 16.2598i | −0.890922 | − | 0.647293i | 0.0451964 | − | 0.998978i | \(-0.485609\pi\) |
−0.936118 | + | 0.351686i | \(0.885609\pi\) | |||||||
\(632\) | 2.32820 | + | 7.16548i | 0.0926110 | + | 0.285027i | ||||
\(633\) | 0.764946 | + | 2.35426i | 0.0304039 | + | 0.0935735i | ||||
\(634\) | 10.6653 | + | 7.74878i | 0.423573 | + | 0.307744i | ||||
\(635\) | 40.9689 | − | 29.7657i | 1.62580 | − | 1.18121i | ||||
\(636\) | −0.108256 | + | 0.333177i | −0.00429262 | + | 0.0132113i | ||||
\(637\) | 2.72440 | 0.107945 | ||||||||
\(638\) | 0.699068 | − | 0.600545i | 0.0276764 | − | 0.0237758i | ||||
\(639\) | 11.0480 | 0.437051 | ||||||||
\(640\) | 0.950820 | − | 2.92632i | 0.0375844 | − | 0.115673i | ||||
\(641\) | 32.4824 | − | 23.5998i | 1.28298 | − | 0.932138i | 0.283339 | − | 0.959020i | \(-0.408558\pi\) |
0.999639 | + | 0.0268823i | \(0.00855792\pi\) | |||||||
\(642\) | −1.69508 | − | 1.23155i | −0.0668993 | − | 0.0486052i | ||||
\(643\) | −9.08177 | − | 27.9508i | −0.358150 | − | 1.10227i | −0.954160 | − | 0.299296i | \(-0.903248\pi\) |
0.596010 | − | 0.802977i | \(-0.296752\pi\) | |||||||
\(644\) | 0.873938 | + | 2.68971i | 0.0344380 | + | 0.105989i | ||||
\(645\) | −2.48976 | − | 1.80891i | −0.0980341 | − | 0.0712259i | ||||
\(646\) | 5.85399 | − | 4.25317i | 0.230322 | − | 0.167339i | ||||
\(647\) | 1.12215 | − | 3.45362i | 0.0441162 | − | 0.135776i | −0.926572 | − | 0.376117i | \(-0.877259\pi\) |
0.970689 | + | 0.240341i | \(0.0772592\pi\) | |||||||
\(648\) | 8.77388 | 0.344670 | ||||||||
\(649\) | −24.7109 | − | 15.0453i | −0.969987 | − | 0.590579i | ||||
\(650\) | −2.35319 | −0.0922999 | ||||||||
\(651\) | −0.114359 | + | 0.351962i | −0.00448210 | + | 0.0137945i | ||||
\(652\) | 6.25832 | − | 4.54694i | 0.245095 | − | 0.178072i | ||||
\(653\) | 20.9597 | + | 15.2281i | 0.820216 | + | 0.595922i | 0.916774 | − | 0.399405i | \(-0.130783\pi\) |
−0.0965583 | + | 0.995327i | \(0.530783\pi\) | |||||||
\(654\) | 0.219430 | + | 0.675335i | 0.00858038 | + | 0.0264077i | ||||
\(655\) | 14.4116 | + | 44.3545i | 0.563109 | + | 1.73307i | ||||
\(656\) | 6.77434 | + | 4.92185i | 0.264494 | + | 0.192166i | ||||
\(657\) | 4.14334 | − | 3.01031i | 0.161647 | − | 0.117444i | ||||
\(658\) | 0.821834 | − | 2.52935i | 0.0320384 | − | 0.0986042i | ||||
\(659\) | −22.9664 | −0.894644 | −0.447322 | − | 0.894373i | \(-0.647622\pi\) | ||||
−0.447322 | + | 0.894373i | \(0.647622\pi\) | |||||||
\(660\) | 0.624187 | + | 1.49475i | 0.0242965 | + | 0.0581831i | ||||
\(661\) | 43.4685 | 1.69073 | 0.845365 | − | 0.534189i | \(-0.179383\pi\) | ||||
0.845365 | + | 0.534189i | \(0.179383\pi\) | |||||||
\(662\) | 1.14096 | − | 3.51151i | 0.0443446 | − | 0.136479i | ||||
\(663\) | 0.489456 | − | 0.355611i | 0.0190089 | − | 0.0138108i | ||||
\(664\) | −5.25613 | − | 3.81880i | −0.203977 | − | 0.148198i | ||||
\(665\) | −1.28550 | − | 3.95635i | −0.0498494 | − | 0.153421i | ||||
\(666\) | −8.19273 | − | 25.2146i | −0.317462 | − | 0.977048i | ||||
\(667\) | 0.470251 | + | 0.341658i | 0.0182082 | + | 0.0132290i | ||||
\(668\) | −17.6596 | + | 12.8304i | −0.683269 | + | 0.496424i | ||||
\(669\) | −1.19867 | + | 3.68914i | −0.0463434 | + | 0.142630i | ||||
\(670\) | −3.13849 | −0.121250 | ||||||||
\(671\) | 8.16286 | + | 19.5477i | 0.315124 | + | 0.754632i | ||||
\(672\) | 0.214602 | 0.00827845 | ||||||||
\(673\) | −9.05222 | + | 27.8599i | −0.348937 | + | 1.07392i | 0.610505 | + | 0.792013i | \(0.290967\pi\) |
−0.959442 | + | 0.281906i | \(0.909033\pi\) | |||||||
\(674\) | −21.2757 | + | 15.4577i | −0.819511 | + | 0.595410i | ||||
\(675\) | 3.42767 | + | 2.49035i | 0.131931 | + | 0.0958535i | ||||
\(676\) | −3.93148 | − | 12.0999i | −0.151211 | − | 0.465379i | ||||
\(677\) | −12.0513 | − | 37.0900i | −0.463168 | − | 1.42549i | −0.861272 | − | 0.508145i | \(-0.830331\pi\) |
0.398103 | − | 0.917341i | \(-0.369669\pi\) | |||||||
\(678\) | 1.61292 | + | 1.17185i | 0.0619437 | + | 0.0450048i | ||||
\(679\) | 11.4213 | − | 8.29809i | 0.438311 | − | 0.318452i | ||||
\(680\) | 6.88006 | − | 21.1746i | 0.263838 | − | 0.812011i | ||||
\(681\) | −3.69087 | −0.141435 | ||||||||
\(682\) | 4.88518 | + | 2.97435i | 0.187063 | + | 0.113894i | ||||
\(683\) | −13.6716 | −0.523130 | −0.261565 | − | 0.965186i | \(-0.584239\pi\) | ||||
−0.261565 | + | 0.965186i | \(0.584239\pi\) | |||||||
\(684\) | 0.919265 | − | 2.82921i | 0.0351490 | − | 0.108177i | ||||
\(685\) | 13.5924 | − | 9.87546i | 0.519339 | − | 0.377322i | ||||
\(686\) | 13.3136 | + | 9.67293i | 0.508317 | + | 0.369314i | ||||
\(687\) | −0.0953365 | − | 0.293416i | −0.00363732 | − | 0.0111945i | ||||
\(688\) | 1.94718 | + | 5.99279i | 0.0742354 | + | 0.228473i | ||||
\(689\) | −0.940517 | − | 0.683326i | −0.0358308 | − | 0.0260326i | ||||
\(690\) | −0.826532 | + | 0.600511i | −0.0314655 | + | 0.0228611i | ||||
\(691\) | 2.49096 | − | 7.66639i | 0.0947607 | − | 0.291643i | −0.892431 | − | 0.451185i | \(-0.851002\pi\) |
0.987191 | + | 0.159541i | \(0.0510016\pi\) | |||||||
\(692\) | −11.0102 | −0.418543 | ||||||||
\(693\) | 10.1182 | − | 8.69220i | 0.384359 | − | 0.330189i | ||||
\(694\) | −5.33343 | −0.202454 | ||||||||
\(695\) | −8.77552 | + | 27.0083i | −0.332874 | + | 1.02448i | ||||
\(696\) | 0.0356833 | − | 0.0259255i | 0.00135257 | − | 0.000982702i | ||||
\(697\) | 49.0186 | + | 35.6141i | 1.85671 | + | 1.34898i | ||||
\(698\) | 6.00883 | + | 18.4933i | 0.227438 | + | 0.699981i | ||||
\(699\) | 0.267943 | + | 0.824644i | 0.0101345 | + | 0.0311909i | ||||
\(700\) | −4.88638 | − | 3.55016i | −0.184688 | − | 0.134183i | ||||
\(701\) | 8.90452 | − | 6.46951i | 0.336319 | − | 0.244350i | −0.406788 | − | 0.913523i | \(-0.633351\pi\) |
0.743107 | + | 0.669172i | \(0.233351\pi\) | |||||||
\(702\) | 0.154372 | − | 0.475108i | 0.00582639 | − | 0.0179318i | ||||
\(703\) | −8.91226 | −0.336132 | ||||||||
\(704\) | 0.764975 | − | 3.22720i | 0.0288311 | − | 0.121630i | ||||
\(705\) | 0.960740 | 0.0361836 | ||||||||
\(706\) | −8.61318 | + | 26.5086i | −0.324161 | + | 0.997666i | ||||
\(707\) | −18.1650 | + | 13.1976i | −0.683164 | + | 0.496348i | ||||
\(708\) | −1.12016 | − | 0.813847i | −0.0420984 | − | 0.0305863i | ||||
\(709\) | 1.18035 | + | 3.63276i | 0.0443291 | + | 0.136431i | 0.970772 | − | 0.240006i | \(-0.0771493\pi\) |
−0.926442 | + | 0.376437i | \(0.877149\pi\) | |||||||
\(710\) | −3.53120 | − | 10.8679i | −0.132524 | − | 0.407866i | ||||
\(711\) | 18.1324 | + | 13.1739i | 0.680017 | + | 0.494061i | ||||
\(712\) | 8.37475 | − | 6.08461i | 0.313857 | − | 0.228030i | ||||
\(713\) | −1.11471 | + | 3.43074i | −0.0417464 | + | 0.128482i | ||||
\(714\) | 1.55284 | 0.0581137 | ||||||||
\(715\) | −5.35763 | + | 0.437157i | −0.200364 | + | 0.0163488i | ||||
\(716\) | −12.5527 | −0.469116 | ||||||||
\(717\) | −0.792570 | + | 2.43928i | −0.0295991 | + | 0.0910965i | ||||
\(718\) | −28.9092 | + | 21.0038i | −1.07888 | + | 0.783854i | ||||
\(719\) | −10.1081 | − | 7.34396i | −0.376968 | − | 0.273883i | 0.383126 | − | 0.923696i | \(-0.374847\pi\) |
−0.760095 | + | 0.649813i | \(0.774847\pi\) | |||||||
\(720\) | −2.82850 | − | 8.70524i | −0.105412 | − | 0.324425i | ||||
\(721\) | −2.63560 | − | 8.11153i | −0.0981547 | − | 0.302089i | ||||
\(722\) | −0.809017 | − | 0.587785i | −0.0301085 | − | 0.0218751i | ||||
\(723\) | 2.30140 | − | 1.67207i | 0.0855901 | − | 0.0621848i | ||||
\(724\) | −1.06703 | + | 3.28398i | −0.0396558 | + | 0.122048i | ||||
\(725\) | −1.24138 | −0.0461036 | ||||||||
\(726\) | 0.801617 | + | 1.55115i | 0.0297508 | + | 0.0575685i | ||||
\(727\) | 21.9023 | 0.812311 | 0.406155 | − | 0.913804i | \(-0.366869\pi\) | ||||
0.406155 | + | 0.913804i | \(0.366869\pi\) | |||||||
\(728\) | −0.220068 | + | 0.677299i | −0.00815626 | + | 0.0251024i | ||||
\(729\) | 20.7504 | − | 15.0761i | 0.768535 | − | 0.558373i | ||||
\(730\) | −4.28556 | − | 3.11364i | −0.158616 | − | 0.115241i | ||||
\(731\) | 14.0896 | + | 43.3634i | 0.521123 | + | 1.60385i | ||||
\(732\) | 0.313290 | + | 0.964209i | 0.0115795 | + | 0.0356382i | ||||
\(733\) | −22.1120 | − | 16.0653i | −0.816726 | − | 0.593386i | 0.0990470 | − | 0.995083i | \(-0.468421\pi\) |
−0.915773 | + | 0.401697i | \(0.868421\pi\) | |||||||
\(734\) | −30.5927 | + | 22.2269i | −1.12920 | + | 0.820411i | ||||
\(735\) | −0.780600 | + | 2.40244i | −0.0287928 | + | 0.0886153i | ||||
\(736\) | 2.09183 | 0.0771057 | ||||||||
\(737\) | −3.37179 | + | 0.275122i | −0.124201 | + | 0.0101343i | ||||
\(738\) | 24.9097 | 0.916937 | ||||||||
\(739\) | −2.12308 | + | 6.53417i | −0.0780988 | + | 0.240363i | −0.982482 | − | 0.186358i | \(-0.940332\pi\) |
0.904383 | + | 0.426722i | \(0.140332\pi\) | |||||||
\(740\) | −22.1851 | + | 16.1184i | −0.815541 | + | 0.592525i | ||||
\(741\) | −0.0676426 | − | 0.0491452i | −0.00248491 | − | 0.00180539i | ||||
\(742\) | −0.922068 | − | 2.83783i | −0.0338502 | − | 0.104180i | ||||
\(743\) | −11.9074 | − | 36.6473i | −0.436841 | − | 1.34446i | −0.891188 | − | 0.453634i | \(-0.850127\pi\) |
0.454347 | − | 0.890825i | \(-0.349873\pi\) | |||||||
\(744\) | 0.221449 | + | 0.160892i | 0.00811872 | + | 0.00589859i | ||||
\(745\) | 30.6933 | − | 22.3000i | 1.12452 | − | 0.817008i | ||||
\(746\) | −6.23614 | + | 19.1929i | −0.228321 | + | 0.702701i | ||||
\(747\) | −19.3271 | −0.707141 | ||||||||
\(748\) | 5.53530 | − | 23.3518i | 0.202391 | − | 0.853825i | ||||
\(749\) | 17.8461 | 0.652083 | ||||||||
\(750\) | −0.0803798 | + | 0.247383i | −0.00293505 | + | 0.00903317i | ||||
\(751\) | −15.3957 | + | 11.1856i | −0.561796 | + | 0.408168i | −0.832116 | − | 0.554602i | \(-0.812870\pi\) |
0.270320 | + | 0.962771i | \(0.412870\pi\) | |||||||
\(752\) | −1.59143 | − | 1.15624i | −0.0580334 | − | 0.0421637i | ||||
\(753\) | 1.32216 | + | 4.06918i | 0.0481821 | + | 0.148289i | ||||
\(754\) | 0.0452304 | + | 0.139205i | 0.00164720 | + | 0.00506955i | ||||
\(755\) | −9.04750 | − | 6.57340i | −0.329272 | − | 0.239230i | ||||
\(756\) | 1.03733 | − | 0.753661i | 0.0377272 | − | 0.0274104i | ||||
\(757\) | −12.9789 | + | 39.9448i | −0.471724 | + | 1.45182i | 0.378600 | + | 0.925560i | \(0.376405\pi\) |
−0.850325 | + | 0.526258i | \(0.823595\pi\) | |||||||
\(758\) | −32.7152 | −1.18827 | ||||||||
\(759\) | −0.835331 | + | 0.717604i | −0.0303206 | + | 0.0260474i | ||||
\(760\) | −3.07692 | −0.111612 | ||||||||
\(761\) | −6.77668 | + | 20.8565i | −0.245654 | + | 0.756047i | 0.749874 | + | 0.661581i | \(0.230114\pi\) |
−0.995528 | + | 0.0944657i | \(0.969886\pi\) | |||||||
\(762\) | 2.11349 | − | 1.53554i | 0.0765636 | − | 0.0556267i | ||||
\(763\) | −4.89309 | − | 3.55503i | −0.177142 | − | 0.128701i | ||||
\(764\) | 6.58881 | + | 20.2783i | 0.238375 | + | 0.733642i | ||||
\(765\) | −20.4668 | − | 62.9904i | −0.739980 | − | 2.27742i | ||||
\(766\) | 20.7769 | + | 15.0953i | 0.750700 | + | 0.545416i | ||||
\(767\) | 3.71726 | − | 2.70074i | 0.134222 | − | 0.0975182i | ||||
\(768\) | 0.0490505 | − | 0.150962i | 0.00176996 | − | 0.00544737i | ||||
\(769\) | −20.9969 | −0.757167 | −0.378584 | − | 0.925567i | \(-0.623589\pi\) | ||||
−0.378584 | + | 0.925567i | \(0.623589\pi\) | |||||||
\(770\) | −11.7846 | − | 7.17507i | −0.424686 | − | 0.258571i | ||||
\(771\) | −3.52870 | −0.127083 | ||||||||
\(772\) | 7.24713 | − | 22.3044i | 0.260830 | − | 0.802752i | ||||
\(773\) | −31.0161 | + | 22.5345i | −1.11557 | + | 0.810509i | −0.983532 | − | 0.180735i | \(-0.942152\pi\) |
−0.132039 | + | 0.991245i | \(0.542152\pi\) | |||||||
\(774\) | 15.1649 | + | 11.0179i | 0.545090 | + | 0.396031i | ||||
\(775\) | −2.38064 | − | 7.32687i | −0.0855152 | − | 0.263189i | ||||
\(776\) | −3.22678 | − | 9.93100i | −0.115835 | − | 0.356502i | ||||
\(777\) | −1.54732 | − | 1.12419i | −0.0555097 | − | 0.0403302i | ||||
\(778\) | 3.61505 | − | 2.62649i | 0.129606 | − | 0.0941642i | ||||
\(779\) | 2.58757 | − | 7.96371i | 0.0927092 | − | 0.285330i | ||||
\(780\) | −0.257263 | −0.00921151 | ||||||||
\(781\) | −4.74638 | − | 11.3662i | −0.169839 | − | 0.406716i | ||||
\(782\) | 15.1363 | 0.541273 | ||||||||
\(783\) | 0.0814355 | − | 0.250633i | 0.00291027 | − | 0.00895689i | ||||
\(784\) | 4.18434 | − | 3.04010i | 0.149441 | − | 0.108575i | ||||
\(785\) | 2.16953 | + | 1.57625i | 0.0774338 | + | 0.0562589i | ||||
\(786\) | 0.743462 | + | 2.28814i | 0.0265184 | + | 0.0816153i | ||||
\(787\) | 1.19143 | + | 3.66684i | 0.0424699 | + | 0.130709i | 0.970043 | − | 0.242932i | \(-0.0781092\pi\) |
−0.927573 | + | 0.373641i | \(0.878109\pi\) | |||||||
\(788\) | 6.30714 | + | 4.58240i | 0.224682 | + | 0.163241i | ||||
\(789\) | 0.107976 | − | 0.0784492i | 0.00384405 | − | 0.00279287i | ||||
\(790\) | 7.16369 | − | 22.0476i | 0.254873 | − | 0.784417i | ||||
\(791\) | −16.9811 | −0.603779 | ||||||||
\(792\) | −3.80187 | − | 9.10439i | −0.135093 | − | 0.323510i | ||||
\(793\) | −3.36438 | −0.119473 | ||||||||
\(794\) | 8.92472 | − | 27.4675i | 0.316726 | − | 0.974784i | ||||
\(795\) | 0.872051 | − | 0.633582i | 0.0309285 | − | 0.0224708i | ||||
\(796\) | 7.67176 | + | 5.57386i | 0.271918 | + | 0.197560i | ||||
\(797\) | 2.38773 | + | 7.34867i | 0.0845777 | + | 0.260303i | 0.984398 | − | 0.175958i | \(-0.0563023\pi\) |
−0.899820 | + | 0.436261i | \(0.856302\pi\) | |||||||
\(798\) | −0.0663157 | − | 0.204099i | −0.00234755 | − | 0.00722501i | ||||
\(799\) | −11.5154 | − | 8.36646i | −0.407387 | − | 0.295984i | ||||
\(800\) | −3.61422 | + | 2.62588i | −0.127782 | + | 0.0928389i | ||||
\(801\) | 9.51601 | − | 29.2873i | 0.336232 | − | 1.03481i | ||||
\(802\) | 0.797439 | 0.0281586 | ||||||||
\(803\) | −4.87707 | − | 2.96942i | −0.172108 | − | 0.104789i | ||||
\(804\) | −0.161907 | −0.00571002 | ||||||||
\(805\) | 2.68904 | − | 8.27600i | 0.0947760 | − | 0.291691i | ||||
\(806\) | −0.734877 | + | 0.533919i | −0.0258849 | + | 0.0188065i | ||||
\(807\) | −3.41946 | − | 2.48438i | −0.120371 | − | 0.0874544i | ||||
\(808\) | 5.13200 | + | 15.7947i | 0.180543 | + | 0.555655i | ||||
\(809\) | −14.1679 | − | 43.6043i | −0.498117 | − | 1.53305i | −0.812043 | − | 0.583598i | \(-0.801644\pi\) |
0.313926 | − | 0.949447i | \(-0.398356\pi\) | |||||||
\(810\) | −21.8406 | − | 15.8681i | −0.767401 | − | 0.557549i | ||||
\(811\) | 9.63305 | − | 6.99882i | 0.338262 | − | 0.245762i | −0.405666 | − | 0.914021i | \(-0.632960\pi\) |
0.743928 | + | 0.668260i | \(0.232960\pi\) | |||||||
\(812\) | −0.116092 | + | 0.357294i | −0.00407403 | + | 0.0125386i | ||||
\(813\) | −4.02872 | −0.141293 | ||||||||
\(814\) | −22.4213 | + | 19.2613i | −0.785865 | + | 0.675110i | ||||
\(815\) | −23.8021 | −0.833753 | ||||||||
\(816\) | 0.354926 | − | 1.09235i | 0.0124249 | − | 0.0382399i | ||||
\(817\) | 5.09777 | − | 3.70375i | 0.178348 | − | 0.129578i | ||||
\(818\) | −18.3841 | − | 13.3568i | −0.642785 | − | 0.467010i | ||||
\(819\) | 0.654659 | + | 2.01483i | 0.0228756 | + | 0.0704040i | ||||
\(820\) | −7.96173 | − | 24.5037i | −0.278036 | − | 0.855706i | ||||
\(821\) | 20.2569 | + | 14.7175i | 0.706971 | + | 0.513645i | 0.882195 | − | 0.470884i | \(-0.156065\pi\) |
−0.175224 | + | 0.984529i | \(0.556065\pi\) | |||||||
\(822\) | 0.701200 | − | 0.509451i | 0.0244571 | − | 0.0177692i | ||||
\(823\) | −1.28125 | + | 3.94328i | −0.0446615 | + | 0.137454i | −0.970901 | − | 0.239482i | \(-0.923022\pi\) |
0.926239 | + | 0.376936i | \(0.123022\pi\) | |||||||
\(824\) | −6.30847 | −0.219766 | ||||||||
\(825\) | 0.542456 | − | 2.28846i | 0.0188859 | − | 0.0796739i | ||||
\(826\) | 11.7933 | 0.410342 | ||||||||
\(827\) | −14.7114 | + | 45.2770i | −0.511565 | + | 1.57443i | 0.277881 | + | 0.960615i | \(0.410368\pi\) |
−0.789446 | + | 0.613820i | \(0.789632\pi\) | |||||||
\(828\) | 5.03433 | − | 3.65765i | 0.174955 | − | 0.127112i | ||||
\(829\) | −4.20085 | − | 3.05210i | −0.145902 | − | 0.106004i | 0.512440 | − | 0.858723i | \(-0.328742\pi\) |
−0.658342 | + | 0.752719i | \(0.728742\pi\) | |||||||
\(830\) | 6.17741 | + | 19.0121i | 0.214421 | + | 0.659920i | ||||
\(831\) | −1.48040 | − | 4.55621i | −0.0513546 | − | 0.158053i | ||||
\(832\) | 0.426147 | + | 0.309614i | 0.0147740 | + | 0.0107339i | ||||
\(833\) | 30.2776 | − | 21.9979i | 1.04906 | − | 0.762184i | ||||
\(834\) | −0.452708 | + | 1.39329i | −0.0156760 | + | 0.0482457i | ||||
\(835\) | 67.1642 | 2.32431 | ||||||||
\(836\) | −3.30564 | + | 0.269725i | −0.114328 | + | 0.00932862i | ||||
\(837\) | 1.63546 | 0.0565298 | ||||||||
\(838\) | −0.132183 | + | 0.406818i | −0.00456619 | + | 0.0140533i | ||||
\(839\) | 35.1566 | − | 25.5428i | 1.21374 | − | 0.881835i | 0.218176 | − | 0.975909i | \(-0.429989\pi\) |
0.995565 | + | 0.0940749i | \(0.0299893\pi\) | |||||||
\(840\) | −0.534204 | − | 0.388122i | −0.0184318 | − | 0.0133915i | ||||
\(841\) | −8.93763 | − | 27.5072i | −0.308194 | − | 0.948524i | ||||
\(842\) | −2.99662 | − | 9.22264i | −0.103270 | − | 0.317833i | ||||
\(843\) | −2.16084 | − | 1.56994i | −0.0744233 | − | 0.0540717i | ||||
\(844\) | −12.6167 | + | 9.16655i | −0.434284 | + | 0.315526i | ||||
\(845\) | −12.0968 | + | 37.2302i | −0.416144 | + | 1.28076i | ||||
\(846\) | −5.85177 | −0.201188 | ||||||||
\(847\) | −13.2895 | − | 6.67538i | −0.456634 | − | 0.229369i | ||||
\(848\) | −2.20703 | −0.0757896 | ||||||||
\(849\) | −0.512101 | + | 1.57609i | −0.0175753 | + | 0.0540911i | ||||
\(850\) | −26.1522 | + | 19.0007i | −0.897013 | + | 0.651718i | ||||
\(851\) | −15.0824 | − | 10.9580i | −0.517019 | − | 0.375636i | ||||
\(852\) | −0.182166 | − | 0.560650i | −0.00624091 | − | 0.0192075i | ||||
\(853\) | −9.05969 | − | 27.8829i | −0.310198 | − | 0.954691i | −0.977686 | − | 0.210071i | \(-0.932631\pi\) |
0.667488 | − | 0.744620i | \(-0.267369\pi\) | |||||||
\(854\) | −6.98609 | − | 5.07569i | −0.239059 | − | 0.173687i | ||||
\(855\) | −7.40512 | + | 5.38013i | −0.253250 | + | 0.183997i | ||||
\(856\) | 4.07899 | − | 12.5539i | 0.139417 | − | 0.429082i | ||||
\(857\) | 3.67262 | 0.125454 | 0.0627272 | − | 0.998031i | \(-0.480020\pi\) | ||||
0.0627272 | + | 0.998031i | \(0.480020\pi\) | |||||||
\(858\) | −0.276387 | + | 0.0225519i | −0.00943570 | + | 0.000769909i | ||||
\(859\) | −19.7758 | −0.674742 | −0.337371 | − | 0.941372i | \(-0.609538\pi\) | ||||
−0.337371 | + | 0.941372i | \(0.609538\pi\) | |||||||
\(860\) | 5.99130 | − | 18.4393i | 0.204302 | − | 0.628775i | ||||
\(861\) | 1.45379 | − | 1.05624i | 0.0495449 | − | 0.0359965i | ||||
\(862\) | 5.42326 | + | 3.94023i | 0.184717 | + | 0.134205i | ||||
\(863\) | −10.2765 | − | 31.6278i | −0.349816 | − | 1.07662i | −0.958954 | − | 0.283560i | \(-0.908484\pi\) |
0.609138 | − | 0.793064i | \(-0.291516\pi\) | |||||||
\(864\) | −0.293067 | − | 0.901968i | −0.00997034 | − | 0.0306856i | ||||
\(865\) | 27.4073 | + | 19.9126i | 0.931877 | + | 0.677048i | ||||
\(866\) | 12.4405 | − | 9.03858i | 0.422747 | − | 0.307143i | ||||
\(867\) | 1.73436 | − | 5.33780i | 0.0589019 | − | 0.181281i | ||||
\(868\) | −2.33146 | −0.0791350 | ||||||||
\(869\) | 5.76350 | − | 24.3144i | 0.195513 | − | 0.824811i | ||||
\(870\) | −0.135714 | −0.00460112 | ||||||||
\(871\) | 0.166031 | − | 0.510990i | 0.00562574 | − | 0.0173142i | ||||
\(872\) | −3.61918 | + | 2.62949i | −0.122561 | + | 0.0890457i | ||||
\(873\) | −25.1306 | − | 18.2584i | −0.850542 | − | 0.617955i | ||||
\(874\) | −0.646410 | − | 1.98944i | −0.0218651 | − | 0.0672940i | ||||
\(875\) | −0.684634 | − | 2.10709i | −0.0231449 | − | 0.0712326i | ||||
\(876\) | −0.221082 | − | 0.160625i | −0.00746966 | − | 0.00542703i | ||||
\(877\) | 11.9088 | − | 8.65222i | 0.402130 | − | 0.292165i | −0.368278 | − | 0.929716i | \(-0.620052\pi\) |
0.770408 | + | 0.637551i | \(0.220052\pi\) | |||||||
\(878\) | −0.664613 | + | 2.04547i | −0.0224296 | + | 0.0690312i | ||||
\(879\) | 2.12734 | 0.0717534 | ||||||||
\(880\) | −7.74084 | + | 6.64989i | −0.260944 | + | 0.224168i | ||||
\(881\) | −2.16151 | −0.0728230 | −0.0364115 | − | 0.999337i | \(-0.511593\pi\) | ||||
−0.0364115 | + | 0.999337i | \(0.511593\pi\) | |||||||
\(882\) | 4.75456 | − | 14.6330i | 0.160094 | − | 0.492720i | ||||
\(883\) | 9.39844 | − | 6.82836i | 0.316283 | − | 0.229793i | −0.418305 | − | 0.908307i | \(-0.637376\pi\) |
0.734588 | + | 0.678514i | \(0.237376\pi\) | |||||||
\(884\) | 3.08357 | + | 2.24034i | 0.103712 | + | 0.0753508i | ||||
\(885\) | 1.31650 | + | 4.05178i | 0.0442538 | + | 0.136199i | ||||
\(886\) | 9.38921 | + | 28.8970i | 0.315437 | + | 0.970815i | ||||
\(887\) | −18.2423 | − | 13.2538i | −0.612515 | − | 0.445019i | 0.237784 | − | 0.971318i | \(-0.423579\pi\) |
−0.850299 | + | 0.526300i | \(0.823579\pi\) | |||||||
\(888\) | −1.14448 | + | 0.831510i | −0.0384061 | + | 0.0279037i | ||||
\(889\) | −6.87601 | + | 21.1622i | −0.230614 | + | 0.709757i | ||||
\(890\) | −31.8515 | −1.06766 | ||||||||
\(891\) | −24.8551 | − | 15.1331i | −0.832679 | − | 0.506979i | ||||
\(892\) | −24.4375 | −0.818230 | ||||||||
\(893\) | −0.607871 | + | 1.87083i | −0.0203416 | + | 0.0626051i | ||||
\(894\) | 1.58339 | − | 1.15040i | 0.0529566 | − | 0.0384752i | ||||
\(895\) | 31.2472 | + | 22.7024i | 1.04448 | + | 0.758857i | ||||
\(896\) | 0.417787 | + | 1.28582i | 0.0139573 | + | 0.0429561i | ||||
\(897\) | −0.0540468 | − | 0.166339i | −0.00180457 | − | 0.00555390i | ||||
\(898\) | −2.70337 | − | 1.96412i | −0.0902128 | − | 0.0655434i | ||||
\(899\) | −0.387668 | + | 0.281657i | −0.0129295 | + | 0.00939380i | ||||
\(900\) | −4.10674 | + | 12.6392i | −0.136891 | + | 0.421308i | ||||
\(901\) | −15.9699 | −0.532034 | ||||||||
\(902\) | −10.7016 | − | 25.6272i | −0.356323 | − | 0.853294i | ||||
\(903\) | 1.35225 | 0.0450000 | ||||||||
\(904\) | −3.88129 | + | 11.9454i | −0.129090 | + | 0.397297i | ||||
\(905\) | 8.59543 | − | 6.24494i | 0.285722 | − | 0.207589i | ||||
\(906\) | −0.466739 | − | 0.339106i | −0.0155064 | − | 0.0112660i | ||||
\(907\) | 5.68321 | + | 17.4911i | 0.188708 | + | 0.580783i | 0.999993 | − | 0.00386810i | \(-0.00123126\pi\) |
−0.811285 | + | 0.584651i | \(0.801231\pi\) | |||||||
\(908\) | −7.18539 | − | 22.1144i | −0.238456 | − | 0.733891i | ||||
\(909\) | 39.9687 | + | 29.0390i | 1.32568 | + | 0.963162i | ||||
\(910\) | 1.77275 | − | 1.28798i | 0.0587661 | − | 0.0426961i | ||||
\(911\) | 14.5996 | − | 44.9330i | 0.483706 | − | 1.48870i | −0.350139 | − | 0.936698i | \(-0.613866\pi\) |
0.833846 | − | 0.551998i | \(-0.186134\pi\) | |||||||
\(912\) | −0.158731 | −0.00525610 | ||||||||
\(913\) | 8.30322 | + | 19.8839i | 0.274796 | + | 0.658059i | ||||
\(914\) | 29.3880 | 0.972068 | ||||||||
\(915\) | 0.963969 | − | 2.96679i | 0.0318678 | − | 0.0980791i | ||||
\(916\) | 1.57244 | − | 1.14244i | 0.0519548 | − | 0.0377474i | ||||
\(917\) | −16.5785 | − | 12.0450i | −0.547471 | − | 0.397761i | ||||
\(918\) | −2.12061 | − | 6.52657i | −0.0699906 | − | 0.215409i | ||||
\(919\) | −3.02680 | − | 9.31552i | −0.0998448 | − | 0.307291i | 0.888641 | − | 0.458603i | \(-0.151650\pi\) |
−0.988486 | + | 0.151312i | \(0.951650\pi\) | |||||||
\(920\) | −5.20714 | − | 3.78321i | −0.171674 | − | 0.124729i | ||||
\(921\) | 2.43733 | − | 1.77083i | 0.0803128 | − | 0.0583507i | ||||
\(922\) | −0.538641 | + | 1.65777i | −0.0177392 | + | 0.0545957i | ||||
\(923\) | 1.95626 | 0.0643910 | ||||||||
\(924\) | −0.607937 | − | 0.370144i | −0.0199997 | − | 0.0121769i | ||||
\(925\) | 39.8148 | 1.30910 | ||||||||
\(926\) | −9.64180 | + | 29.6744i | −0.316849 | + | 0.975162i | ||||
\(927\) | −15.1824 | + | 11.0306i | −0.498655 | + | 0.362294i | ||||
\(928\) | 0.224804 | + | 0.163330i | 0.00737956 | + | 0.00536157i | ||||
\(929\) | 7.10495 | + | 21.8668i | 0.233106 | + | 0.717426i | 0.997367 | + | 0.0725191i | \(0.0231038\pi\) |
−0.764261 | + | 0.644907i | \(0.776896\pi\) | |||||||
\(930\) | −0.260264 | − | 0.801011i | −0.00853440 | − | 0.0262662i | ||||
\(931\) | −4.18434 | − | 3.04010i | −0.137136 | − | 0.0996353i | ||||
\(932\) | −4.41934 | + | 3.21084i | −0.144760 | + | 0.105174i | ||||
\(933\) | 0.611937 | − | 1.88335i | 0.0200339 | − | 0.0616581i | ||||
\(934\) | 26.0733 | 0.853144 | ||||||||
\(935\) | −56.0121 | + | 48.1181i | −1.83179 | + | 1.57363i | ||||
\(936\) | 1.56697 | 0.0512179 | ||||||||
\(937\) | 11.3241 | − | 34.8519i | 0.369941 | − | 1.13856i | −0.576887 | − | 0.816824i | \(-0.695733\pi\) |
0.946828 | − | 0.321739i | \(-0.104267\pi\) | |||||||
\(938\) | 1.11567 | − | 0.810581i | 0.0364279 | − | 0.0264664i | ||||
\(939\) | 2.34669 | + | 1.70497i | 0.0765815 | + | 0.0556397i | ||||
\(940\) | 1.87037 | + | 5.75640i | 0.0610047 | + | 0.187753i | ||||
\(941\) | −4.41611 | − | 13.5914i | −0.143961 | − | 0.443067i | 0.852915 | − | 0.522050i | \(-0.174833\pi\) |
−0.996876 | + | 0.0789832i | \(0.974833\pi\) | |||||||
\(942\) | 0.111921 | + | 0.0813151i | 0.00364657 | + | 0.00264939i | ||||
\(943\) | 14.1707 | − | 10.2956i | 0.461463 | − | 0.335272i | ||||
\(944\) | 2.69554 | − | 8.29602i | 0.0877323 | − | 0.270012i | ||||
\(945\) | −3.94524 | −0.128339 | ||||||||
\(946\) | 4.82026 | − | 20.3352i | 0.156720 | − | 0.661154i | ||||
\(947\) | 49.0452 | 1.59375 | 0.796877 | − | 0.604142i | \(-0.206484\pi\) | ||||
0.796877 | + | 0.604142i | \(0.206484\pi\) | |||||||
\(948\) | 0.369557 | − | 1.13738i | 0.0120027 | − | 0.0369404i | ||||
\(949\) | 0.733658 | − | 0.533034i | 0.0238155 | − | 0.0173030i | ||||
\(950\) | 3.61422 | + | 2.62588i | 0.117261 | + | 0.0851948i | ||||
\(951\) | −0.646633 | − | 1.99013i | −0.0209685 | − | 0.0645345i | ||||
\(952\) | 3.02308 | + | 9.30408i | 0.0979785 | + | 0.301547i | ||||
\(953\) | 8.05441 | + | 5.85187i | 0.260908 | + | 0.189561i | 0.710547 | − | 0.703650i | \(-0.248447\pi\) |
−0.449639 | + | 0.893210i | \(0.648447\pi\) | |||||||
\(954\) | −5.31158 | + | 3.85909i | −0.171969 | + | 0.124943i | ||||
\(955\) | 20.2732 | − | 62.3946i | 0.656026 | − | 2.01904i | ||||
\(956\) | −16.1582 | −0.522595 | ||||||||
\(957\) | −0.145802 | + | 0.0118967i | −0.00471311 | + | 0.000384567i | ||||
\(958\) | −29.3946 | −0.949695 | ||||||||
\(959\) | −2.28128 | + | 7.02105i | −0.0736663 | + | 0.226722i | ||||
\(960\) | −0.395125 | + | 0.287075i | −0.0127526 | + | 0.00926531i | ||||
\(961\) | 22.6737 | + | 16.4734i | 0.731409 | + | 0.531400i | ||||
\(962\) | −1.45068 | − | 4.46474i | −0.0467718 | − | 0.143949i | ||||
\(963\) | −12.1342 | − | 37.3453i | −0.391019 | − | 1.20343i | ||||
\(964\) | 14.4988 | + | 10.5340i | 0.466975 | + | 0.339277i | ||||
\(965\) | −58.3791 | + | 42.4149i | −1.87929 | + | 1.36538i | ||||
\(966\) | 0.138721 | − | 0.426939i | 0.00446327 | − | 0.0137365i | ||||
\(967\) | −12.0203 | −0.386546 | −0.193273 | − | 0.981145i | \(-0.561910\pi\) | ||||
−0.193273 | + | 0.981145i | \(0.561910\pi\) | |||||||
\(968\) | −7.73332 | + | 7.82277i | −0.248558 | + | 0.251433i | ||||
\(969\) | −1.14856 | −0.0368972 | ||||||||
\(970\) | −9.92853 | + | 30.5569i | −0.318786 | + | 0.981122i | ||||
\(971\) | −41.9890 | + | 30.5068i | −1.34749 | + | 0.979010i | −0.348359 | + | 0.937361i | \(0.613261\pi\) |
−0.999132 | + | 0.0416490i | \(0.986739\pi\) | |||||||
\(972\) | −3.42848 | − | 2.49094i | −0.109969 | − | 0.0798969i | ||||
\(973\) | −3.85594 | − | 11.8674i | −0.123616 | − | 0.380450i | ||||
\(974\) | 13.3161 | + | 40.9828i | 0.426676 | + | 1.31317i | ||||
\(975\) | 0.302187 | + | 0.219552i | 0.00967774 | + | 0.00703129i | ||||
\(976\) | −5.16727 | + | 3.75424i | −0.165400 | + | 0.120170i | ||||
\(977\) | −8.88050 | + | 27.3314i | −0.284112 | + | 0.874408i | 0.702551 | + | 0.711633i | \(0.252044\pi\) |
−0.986663 | + | 0.162774i | \(0.947956\pi\) | |||||||
\(978\) | −1.22790 | −0.0392638 | ||||||||
\(979\) | −34.2192 | + | 2.79212i | −1.09365 | + | 0.0892366i | ||||
\(980\) | −15.9142 | −0.508361 | ||||||||
\(981\) | −4.11238 | + | 12.6566i | −0.131298 | + | 0.404094i | ||||
\(982\) | 23.8984 | − | 17.3632i | 0.762629 | − | 0.554083i | ||||
\(983\) | −29.7601 | − | 21.6220i | −0.949201 | − | 0.689635i | 0.00141657 | − | 0.999999i | \(-0.499549\pi\) |
−0.950618 | + | 0.310364i | \(0.899549\pi\) | |||||||
\(984\) | −0.410726 | − | 1.26409i | −0.0130935 | − | 0.0402976i | ||||
\(985\) | −7.41264 | − | 22.8137i | −0.236186 | − | 0.726906i | ||||
\(986\) | 1.62667 | + | 1.18184i | 0.0518036 | + | 0.0376375i | ||||
\(987\) | −0.341523 | + | 0.248131i | −0.0108708 | + | 0.00789811i | ||||
\(988\) | 0.162774 | − | 0.500965i | 0.00517852 | − | 0.0159378i | ||||
\(989\) | 13.1810 | 0.419131 | ||||||||
\(990\) | −7.00199 | + | 29.5393i | −0.222538 | + | 0.938820i | ||||
\(991\) | −59.5095 | −1.89038 | −0.945191 | − | 0.326517i | \(-0.894125\pi\) | ||||
−0.945191 | + | 0.326517i | \(0.894125\pi\) | |||||||
\(992\) | −0.532890 | + | 1.64007i | −0.0169193 | + | 0.0520722i | ||||
\(993\) | −0.474140 | + | 0.344483i | −0.0150464 | + | 0.0109318i | ||||
\(994\) | 4.06214 | + | 2.95132i | 0.128843 | + | 0.0936101i | ||||
\(995\) | −9.01644 | − | 27.7498i | −0.285840 | − | 0.879727i | ||||
\(996\) | 0.318678 | + | 0.980789i | 0.0100977 | + | 0.0310775i | ||||
\(997\) | 22.2675 | + | 16.1783i | 0.705217 | + | 0.512370i | 0.881627 | − | 0.471946i | \(-0.156448\pi\) |
−0.176410 | + | 0.984317i | \(0.556448\pi\) | |||||||
\(998\) | 22.5647 | − | 16.3942i | 0.714273 | − | 0.518949i | ||||
\(999\) | −2.61189 | + | 8.03857i | −0.0826366 | + | 0.254329i |
(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 | 418.2.f.f.229.3 | yes | 16 | |
11.4 | even | 5 | 4598.2.a.ca.1.4 | 8 | |||
11.5 | even | 5 | inner | 418.2.f.f.115.3 | ✓ | 16 | |
11.7 | odd | 10 | 4598.2.a.bx.1.4 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
418.2.f.f.115.3 | ✓ | 16 | 11.5 | even | 5 | inner | |
418.2.f.f.229.3 | yes | 16 | 1.1 | even | 1 | trivial | |
4598.2.a.bx.1.4 | 8 | 11.7 | odd | 10 | |||
4598.2.a.ca.1.4 | 8 | 11.4 | even | 5 |