Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [671,2,Mod(12,671)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(671, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("671.12");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 671 = 11 \cdot 61 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 671.bn (of order \(15\), degree \(8\), 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: | \(5.35796197563\) |
Analytic rank: | \(0\) |
Dimension: | \(208\) |
Relative dimension: | \(26\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 12.3 | ||
Character | \(\chi\) | \(=\) | 671.12 |
Dual form | 671.2.bn.a.56.3 |
$q$-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 \(\left(\mathbb{Z}/671\mathbb{Z}\right)^\times\).
\(n\) | \(123\) | \(551\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{15}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.03902 | − | 0.907829i | −1.44180 | − | 0.641932i | −0.471070 | − | 0.882096i | \(-0.656132\pi\) |
−0.970732 | + | 0.240164i | \(0.922799\pi\) | |||||||
\(3\) | 1.68678 | − | 1.22552i | 0.973863 | − | 0.707553i | 0.0175340 | − | 0.999846i | \(-0.494418\pi\) |
0.956329 | + | 0.292294i | \(0.0944185\pi\) | |||||||
\(4\) | 1.99518 | + | 2.21587i | 0.997588 | + | 1.10793i | ||||
\(5\) | −2.26004 | + | 0.480387i | −1.01072 | + | 0.214835i | −0.683374 | − | 0.730069i | \(-0.739488\pi\) |
−0.327348 | + | 0.944904i | \(0.606155\pi\) | |||||||
\(6\) | −4.55193 | + | 0.967543i | −1.85832 | + | 0.394998i | ||||
\(7\) | −0.0297354 | + | 0.282913i | −0.0112389 | + | 0.106931i | −0.998703 | − | 0.0509117i | \(-0.983787\pi\) |
0.987464 | + | 0.157843i | \(0.0504539\pi\) | |||||||
\(8\) | −0.677129 | − | 2.08399i | −0.239401 | − | 0.736801i | ||||
\(9\) | 0.416282 | − | 1.28118i | 0.138761 | − | 0.427061i | ||||
\(10\) | 5.04437 | + | 1.07221i | 1.59517 | + | 0.339064i | ||||
\(11\) | −1.00000 | −0.301511 | ||||||||
\(12\) | 6.08100 | + | 1.29256i | 1.75543 | + | 0.373129i | ||||
\(13\) | −1.47991 | − | 2.56328i | −0.410454 | − | 0.710927i | 0.584486 | − | 0.811404i | \(-0.301296\pi\) |
−0.994939 | + | 0.100477i | \(0.967963\pi\) | |||||||
\(14\) | 0.317468 | − | 0.549870i | 0.0848468 | − | 0.146959i | ||||
\(15\) | −3.22347 | + | 3.58003i | −0.832296 | + | 0.924359i | ||||
\(16\) | 0.112127 | − | 1.06682i | 0.0280317 | − | 0.266704i | ||||
\(17\) | −1.89459 | − | 2.10416i | −0.459506 | − | 0.510333i | 0.468211 | − | 0.883616i | \(-0.344899\pi\) |
−0.927717 | + | 0.373283i | \(0.878232\pi\) | |||||||
\(18\) | −2.01190 | + | 2.23444i | −0.474210 | + | 0.526663i | ||||
\(19\) | −0.0603871 | − | 0.574545i | −0.0138538 | − | 0.131810i | 0.985409 | − | 0.170204i | \(-0.0544425\pi\) |
−0.999263 | + | 0.0383939i | \(0.987776\pi\) | |||||||
\(20\) | −5.57365 | − | 4.04950i | −1.24631 | − | 0.905495i | ||||
\(21\) | 0.296558 | + | 0.513653i | 0.0647142 | + | 0.112088i | ||||
\(22\) | 2.03902 | + | 0.907829i | 0.434720 | + | 0.193550i | ||||
\(23\) | −2.66785 | + | 8.21078i | −0.556284 | + | 1.71207i | 0.136244 | + | 0.990675i | \(0.456497\pi\) |
−0.692528 | + | 0.721391i | \(0.743503\pi\) | |||||||
\(24\) | −3.69613 | − | 2.68539i | −0.754469 | − | 0.548154i | ||||
\(25\) | 0.309291 | − | 0.137705i | 0.0618582 | − | 0.0275411i | ||||
\(26\) | 0.690544 | + | 6.57008i | 0.135427 | + | 1.28850i | ||||
\(27\) | 1.06494 | + | 3.27755i | 0.204948 | + | 0.630764i | ||||
\(28\) | −0.686225 | + | 0.498572i | −0.129684 | + | 0.0942212i | ||||
\(29\) | −2.38678 | + | 4.13403i | −0.443214 | + | 0.767670i | −0.997926 | − | 0.0643730i | \(-0.979495\pi\) |
0.554712 | + | 0.832043i | \(0.312829\pi\) | |||||||
\(30\) | 9.82276 | − | 4.37338i | 1.79338 | − | 0.798465i | ||||
\(31\) | −3.57537 | + | 1.59186i | −0.642155 | + | 0.285906i | −0.701865 | − | 0.712310i | \(-0.747649\pi\) |
0.0597101 | + | 0.998216i | \(0.480982\pi\) | |||||||
\(32\) | −3.38835 | + | 5.86879i | −0.598981 | + | 1.03747i | ||||
\(33\) | −1.68678 | + | 1.22552i | −0.293631 | + | 0.213335i | ||||
\(34\) | 1.95289 | + | 6.01038i | 0.334918 | + | 1.03077i | ||||
\(35\) | −0.0687045 | − | 0.653680i | −0.0116132 | − | 0.110492i | ||||
\(36\) | 3.66949 | − | 1.63376i | 0.611582 | − | 0.272294i | ||||
\(37\) | 2.36926 | + | 1.72137i | 0.389505 | + | 0.282992i | 0.765252 | − | 0.643730i | \(-0.222614\pi\) |
−0.375748 | + | 0.926722i | \(0.622614\pi\) | |||||||
\(38\) | −0.398458 | + | 1.22633i | −0.0646385 | + | 0.198937i | ||||
\(39\) | −5.63763 | − | 2.51004i | −0.902744 | − | 0.401927i | ||||
\(40\) | 2.53146 | + | 4.38462i | 0.400259 | + | 0.693269i | ||||
\(41\) | −6.73159 | − | 4.89079i | −1.05130 | − | 0.763813i | −0.0788391 | − | 0.996887i | \(-0.525121\pi\) |
−0.972459 | + | 0.233075i | \(0.925121\pi\) | |||||||
\(42\) | −0.138377 | − | 1.31657i | −0.0213521 | − | 0.203151i | ||||
\(43\) | 0.235896 | − | 0.261989i | 0.0359738 | − | 0.0399529i | −0.724889 | − | 0.688865i | \(-0.758109\pi\) |
0.760863 | + | 0.648912i | \(0.224776\pi\) | |||||||
\(44\) | −1.99518 | − | 2.21587i | −0.300784 | − | 0.334055i | ||||
\(45\) | −0.325351 | + | 3.09551i | −0.0485004 | + | 0.461451i | ||||
\(46\) | 12.8938 | − | 14.3200i | 1.90108 | − | 2.11137i | ||||
\(47\) | −5.39652 | + | 9.34705i | −0.787163 | + | 1.36341i | 0.140535 | + | 0.990076i | \(0.455118\pi\) |
−0.927698 | + | 0.373331i | \(0.878216\pi\) | |||||||
\(48\) | −1.11827 | − | 1.93690i | −0.161408 | − | 0.279567i | ||||
\(49\) | 6.76788 | + | 1.43856i | 0.966840 | + | 0.205508i | ||||
\(50\) | −0.755663 | −0.106867 | ||||||||
\(51\) | −5.77444 | − | 1.22739i | −0.808583 | − | 0.171870i | ||||
\(52\) | 2.72721 | − | 8.39349i | 0.378196 | − | 1.16397i | ||||
\(53\) | −2.44063 | − | 7.51150i | −0.335247 | − | 1.03178i | −0.966600 | − | 0.256289i | \(-0.917500\pi\) |
0.631353 | − | 0.775495i | \(-0.282500\pi\) | |||||||
\(54\) | 0.804022 | − | 7.64976i | 0.109414 | − | 1.04100i | ||||
\(55\) | 2.26004 | − | 0.480387i | 0.304744 | − | 0.0647753i | ||||
\(56\) | 0.609722 | − | 0.129600i | 0.0814775 | − | 0.0173186i | ||||
\(57\) | −0.805975 | − | 0.895125i | −0.106754 | − | 0.118562i | ||||
\(58\) | 8.61968 | − | 6.26256i | 1.13182 | − | 0.822315i | ||||
\(59\) | −0.643479 | − | 0.286495i | −0.0837739 | − | 0.0372985i | 0.364422 | − | 0.931234i | \(-0.381267\pi\) |
−0.448196 | + | 0.893935i | \(0.647933\pi\) | |||||||
\(60\) | −14.3643 | −1.85442 | ||||||||
\(61\) | −2.36656 | + | 7.44308i | −0.303007 | + | 0.952988i | ||||
\(62\) | 8.73537 | 1.10939 | ||||||||
\(63\) | 0.350086 | + | 0.155868i | 0.0441066 | + | 0.0196375i | ||||
\(64\) | 10.5011 | − | 7.62950i | 1.31264 | − | 0.953688i | ||||
\(65\) | 4.57603 | + | 5.08220i | 0.567587 | + | 0.630369i | ||||
\(66\) | 4.55193 | − | 0.967543i | 0.560304 | − | 0.119096i | ||||
\(67\) | −2.59278 | + | 0.551112i | −0.316758 | + | 0.0673290i | −0.363547 | − | 0.931576i | \(-0.618434\pi\) |
0.0467891 | + | 0.998905i | \(0.485101\pi\) | |||||||
\(68\) | 0.882489 | − | 8.39633i | 0.107018 | − | 1.01820i | ||||
\(69\) | 5.56239 | + | 17.1193i | 0.669633 | + | 2.06092i | ||||
\(70\) | −0.453340 | + | 1.39524i | −0.0541845 | + | 0.166763i | ||||
\(71\) | 5.63234 | + | 1.19719i | 0.668436 | + | 0.142080i | 0.529616 | − | 0.848237i | \(-0.322336\pi\) |
0.138819 | + | 0.990318i | \(0.455669\pi\) | |||||||
\(72\) | −2.95185 | −0.347879 | ||||||||
\(73\) | −0.596604 | − | 0.126812i | −0.0698272 | − | 0.0148422i | 0.172866 | − | 0.984945i | \(-0.444697\pi\) |
−0.242693 | + | 0.970103i | \(0.578031\pi\) | |||||||
\(74\) | −3.26826 | − | 5.66079i | −0.379927 | − | 0.658054i | ||||
\(75\) | 0.352946 | − | 0.611320i | 0.0407547 | − | 0.0705892i | ||||
\(76\) | 1.15263 | − | 1.28013i | 0.132216 | − | 0.146841i | ||||
\(77\) | 0.0297354 | − | 0.282913i | 0.00338866 | − | 0.0322409i | ||||
\(78\) | 9.21655 | + | 10.2360i | 1.04357 | + | 1.15900i | ||||
\(79\) | 4.02395 | − | 4.46905i | 0.452730 | − | 0.502808i | −0.472963 | − | 0.881082i | \(-0.656816\pi\) |
0.925694 | + | 0.378274i | \(0.123482\pi\) | |||||||
\(80\) | 0.259073 | + | 2.46491i | 0.0289652 | + | 0.275586i | ||||
\(81\) | 9.08253 | + | 6.59885i | 1.00917 | + | 0.733205i | ||||
\(82\) | 9.28583 | + | 16.0835i | 1.02545 | + | 1.77613i | ||||
\(83\) | −7.20951 | − | 3.20988i | −0.791347 | − | 0.352330i | −0.0290666 | − | 0.999577i | \(-0.509253\pi\) |
−0.762280 | + | 0.647247i | \(0.775920\pi\) | |||||||
\(84\) | −0.546502 | + | 1.68196i | −0.0596283 | + | 0.183517i | ||||
\(85\) | 5.29266 | + | 3.84535i | 0.574070 | + | 0.417086i | ||||
\(86\) | −0.718836 | + | 0.320047i | −0.0775141 | + | 0.0345115i | ||||
\(87\) | 1.04035 | + | 9.89824i | 0.111537 | + | 1.06120i | ||||
\(88\) | 0.677129 | + | 2.08399i | 0.0721821 | + | 0.222154i | ||||
\(89\) | −3.37298 | + | 2.45061i | −0.357535 | + | 0.259765i | −0.752023 | − | 0.659137i | \(-0.770922\pi\) |
0.394488 | + | 0.918901i | \(0.370922\pi\) | |||||||
\(90\) | 3.47359 | − | 6.01643i | 0.366148 | − | 0.634187i | ||||
\(91\) | 0.769192 | − | 0.342466i | 0.0806332 | − | 0.0359002i | ||||
\(92\) | −23.5168 | + | 10.4704i | −2.45180 | + | 1.09161i | ||||
\(93\) | −4.08001 | + | 7.06678i | −0.423077 | + | 0.732791i | ||||
\(94\) | 19.4891 | − | 14.1597i | 2.01015 | − | 1.46046i | ||||
\(95\) | 0.412481 | + | 1.26949i | 0.0423197 | + | 0.130247i | ||||
\(96\) | 1.47691 | + | 14.0518i | 0.150736 | + | 1.43416i | ||||
\(97\) | −6.53865 | + | 2.91119i | −0.663899 | + | 0.295587i | −0.710885 | − | 0.703309i | \(-0.751705\pi\) |
0.0469855 | + | 0.998896i | \(0.485039\pi\) | |||||||
\(98\) | −12.4939 | − | 9.07732i | −1.26207 | − | 0.916947i | ||||
\(99\) | −0.416282 | + | 1.28118i | −0.0418379 | + | 0.128764i | ||||
\(100\) | 0.922227 | + | 0.410602i | 0.0922227 | + | 0.0410602i | ||||
\(101\) | 2.58501 | + | 4.47738i | 0.257219 | + | 0.445516i | 0.965496 | − | 0.260419i | \(-0.0838607\pi\) |
−0.708277 | + | 0.705934i | \(0.750527\pi\) | |||||||
\(102\) | 10.6599 | + | 7.74488i | 1.05549 | + | 0.766857i | ||||
\(103\) | 0.968748 | + | 9.21702i | 0.0954536 | + | 0.908180i | 0.932530 | + | 0.361094i | \(0.117597\pi\) |
−0.837076 | + | 0.547087i | \(0.815737\pi\) | |||||||
\(104\) | −4.33976 | + | 4.81979i | −0.425548 | + | 0.472619i | ||||
\(105\) | −0.916985 | − | 1.01842i | −0.0894886 | − | 0.0993872i | ||||
\(106\) | −1.84266 | + | 17.5318i | −0.178975 | + | 1.70283i | ||||
\(107\) | 4.07848 | − | 4.52961i | 0.394282 | − | 0.437894i | −0.513019 | − | 0.858377i | \(-0.671473\pi\) |
0.907300 | + | 0.420483i | \(0.138140\pi\) | |||||||
\(108\) | −5.13787 | + | 8.89905i | −0.494392 | + | 0.856312i | ||||
\(109\) | −7.52740 | − | 13.0378i | −0.720994 | − | 1.24880i | −0.960602 | − | 0.277929i | \(-0.910352\pi\) |
0.239608 | − | 0.970870i | \(-0.422981\pi\) | |||||||
\(110\) | −5.04437 | − | 1.07221i | −0.480962 | − | 0.102232i | ||||
\(111\) | 6.10599 | 0.579555 | ||||||||
\(112\) | 0.298482 | + | 0.0634443i | 0.0282039 | + | 0.00599493i | ||||
\(113\) | −2.40268 | + | 7.39469i | −0.226025 | + | 0.695634i | 0.772161 | + | 0.635427i | \(0.219176\pi\) |
−0.998186 | + | 0.0602068i | \(0.980824\pi\) | |||||||
\(114\) | 0.830775 | + | 2.55686i | 0.0778092 | + | 0.239472i | ||||
\(115\) | 2.08509 | − | 19.8383i | 0.194436 | − | 1.84993i | ||||
\(116\) | −13.9225 | + | 2.95932i | −1.29267 | + | 0.274766i | ||||
\(117\) | −3.90010 | + | 0.828992i | −0.360564 | + | 0.0766403i | ||||
\(118\) | 1.05198 | + | 1.16834i | 0.0968423 | + | 0.107554i | ||||
\(119\) | 0.651630 | − | 0.473437i | 0.0597348 | − | 0.0433999i | ||||
\(120\) | 9.64343 | + | 4.29353i | 0.880321 | + | 0.391944i | ||||
\(121\) | 1.00000 | 0.0909091 | ||||||||
\(122\) | 11.5825 | − | 13.0281i | 1.04863 | − | 1.17951i | ||||
\(123\) | −17.3485 | −1.56426 | ||||||||
\(124\) | −10.6608 | − | 4.74651i | −0.957371 | − | 0.426249i | ||||
\(125\) | 8.71344 | − | 6.33069i | 0.779354 | − | 0.566234i | ||||
\(126\) | −0.572329 | − | 0.635636i | −0.0509871 | − | 0.0566269i | ||||
\(127\) | −16.7515 | + | 3.56064i | −1.48646 | + | 0.315956i | −0.878396 | − | 0.477934i | \(-0.841386\pi\) |
−0.608061 | + | 0.793890i | \(0.708052\pi\) | |||||||
\(128\) | −15.0810 | + | 3.20556i | −1.33298 | + | 0.283335i | ||||
\(129\) | 0.0768324 | − | 0.731012i | 0.00676472 | − | 0.0643620i | ||||
\(130\) | −4.71684 | − | 14.5169i | −0.413694 | − | 1.27322i | ||||
\(131\) | 3.18153 | − | 9.79175i | 0.277972 | − | 0.855510i | −0.710446 | − | 0.703752i | \(-0.751507\pi\) |
0.988418 | − | 0.151758i | \(-0.0484933\pi\) | |||||||
\(132\) | −6.08100 | − | 1.29256i | −0.529284 | − | 0.112503i | ||||
\(133\) | 0.164342 | 0.0142503 | ||||||||
\(134\) | 5.78703 | + | 1.23007i | 0.499923 | + | 0.106262i | ||||
\(135\) | −3.98130 | − | 6.89581i | −0.342656 | − | 0.593497i | ||||
\(136\) | −3.10215 | + | 5.37309i | −0.266008 | + | 0.460739i | ||||
\(137\) | 4.77167 | − | 5.29948i | 0.407671 | − | 0.452765i | −0.503989 | − | 0.863710i | \(-0.668135\pi\) |
0.911660 | + | 0.410945i | \(0.134801\pi\) | |||||||
\(138\) | 4.19956 | − | 39.9562i | 0.357491 | − | 3.40130i | ||||
\(139\) | 5.55849 | + | 6.17333i | 0.471465 | + | 0.523615i | 0.931233 | − | 0.364424i | \(-0.118734\pi\) |
−0.459768 | + | 0.888039i | \(0.652067\pi\) | |||||||
\(140\) | 1.31139 | − | 1.45645i | 0.110833 | − | 0.123092i | ||||
\(141\) | 2.35223 | + | 22.3799i | 0.198093 | + | 1.88473i | ||||
\(142\) | −10.3976 | − | 7.55429i | −0.872547 | − | 0.633942i | ||||
\(143\) | 1.47991 | + | 2.56328i | 0.123756 | + | 0.214353i | ||||
\(144\) | −1.32011 | − | 0.587752i | −0.110009 | − | 0.0489793i | ||||
\(145\) | 3.40830 | − | 10.4897i | 0.283044 | − | 0.871119i | ||||
\(146\) | 1.10136 | + | 0.800186i | 0.0911493 | + | 0.0662239i | ||||
\(147\) | 13.1789 | − | 5.86762i | 1.08698 | − | 0.483953i | ||||
\(148\) | 0.912768 | + | 8.68441i | 0.0750291 | + | 0.713854i | ||||
\(149\) | −5.16130 | − | 15.8848i | −0.422830 | − | 1.30134i | −0.905057 | − | 0.425290i | \(-0.860172\pi\) |
0.482227 | − | 0.876046i | \(-0.339828\pi\) | |||||||
\(150\) | −1.27464 | + | 0.926078i | −0.104074 | + | 0.0756139i | ||||
\(151\) | 2.91761 | − | 5.05345i | 0.237432 | − | 0.411244i | −0.722545 | − | 0.691324i | \(-0.757028\pi\) |
0.959977 | + | 0.280080i | \(0.0903611\pi\) | |||||||
\(152\) | −1.15645 | + | 0.514887i | −0.0938009 | + | 0.0417628i | ||||
\(153\) | −3.48450 | + | 1.55140i | −0.281705 | + | 0.125423i | ||||
\(154\) | −0.317468 | + | 0.549870i | −0.0255823 | + | 0.0443098i | ||||
\(155\) | 7.31577 | − | 5.31522i | 0.587617 | − | 0.426929i | ||||
\(156\) | −5.68616 | − | 17.5002i | −0.455257 | − | 1.40114i | ||||
\(157\) | 1.20589 | + | 11.4733i | 0.0962406 | + | 0.915668i | 0.930992 | + | 0.365040i | \(0.118945\pi\) |
−0.834751 | + | 0.550627i | \(0.814388\pi\) | |||||||
\(158\) | −12.2620 | + | 5.45941i | −0.975516 | + | 0.434328i | ||||
\(159\) | −13.3223 | − | 9.67921i | −1.05653 | − | 0.767611i | ||||
\(160\) | 4.83852 | − | 14.8914i | 0.382519 | − | 1.17727i | ||||
\(161\) | −2.24361 | − | 0.998919i | −0.176821 | − | 0.0787258i | ||||
\(162\) | −12.5288 | − | 21.7005i | −0.984357 | − | 1.70496i | ||||
\(163\) | −17.9168 | − | 13.0173i | −1.40335 | − | 1.01960i | −0.994247 | − | 0.107108i | \(-0.965841\pi\) |
−0.409105 | − | 0.912487i | \(-0.634159\pi\) | |||||||
\(164\) | −2.59337 | − | 24.6743i | −0.202508 | − | 1.92674i | ||||
\(165\) | 3.22347 | − | 3.58003i | 0.250947 | − | 0.278705i | ||||
\(166\) | 11.7863 | + | 13.0900i | 0.914794 | + | 1.01598i | ||||
\(167\) | −0.830582 | + | 7.90246i | −0.0642724 | + | 0.611511i | 0.914219 | + | 0.405221i | \(0.132806\pi\) |
−0.978491 | + | 0.206289i | \(0.933861\pi\) | |||||||
\(168\) | 0.869639 | − | 0.965832i | 0.0670941 | − | 0.0745156i | ||||
\(169\) | 2.11972 | − | 3.67146i | 0.163055 | − | 0.282420i | ||||
\(170\) | −7.30092 | − | 12.6456i | −0.559955 | − | 0.969870i | ||||
\(171\) | −0.761236 | − | 0.161806i | −0.0582132 | − | 0.0123736i | ||||
\(172\) | 1.05119 | 0.0801522 | ||||||||
\(173\) | −6.75327 | − | 1.43545i | −0.513442 | − | 0.109135i | −0.0560977 | − | 0.998425i | \(-0.517866\pi\) |
−0.457344 | + | 0.889290i | \(0.651199\pi\) | |||||||
\(174\) | 6.86462 | − | 21.1271i | 0.520406 | − | 1.60164i | ||||
\(175\) | 0.0297618 | + | 0.0915973i | 0.00224978 | + | 0.00692410i | ||||
\(176\) | −0.112127 | + | 1.06682i | −0.00845188 | + | 0.0804143i | ||||
\(177\) | −1.43651 | + | 0.305340i | −0.107975 | + | 0.0229508i | ||||
\(178\) | 9.10230 | − | 1.93475i | 0.682246 | − | 0.145016i | ||||
\(179\) | −10.4638 | − | 11.6212i | −0.782100 | − | 0.868610i | 0.211979 | − | 0.977274i | \(-0.432009\pi\) |
−0.994078 | + | 0.108665i | \(0.965343\pi\) | |||||||
\(180\) | −7.50836 | + | 5.45515i | −0.559640 | + | 0.406603i | ||||
\(181\) | 17.8061 | + | 7.92779i | 1.32352 | + | 0.589268i | 0.942161 | − | 0.335161i | \(-0.108791\pi\) |
0.381356 | + | 0.924428i | \(0.375457\pi\) | |||||||
\(182\) | −1.87930 | −0.139303 | ||||||||
\(183\) | 5.12975 | + | 15.4551i | 0.379202 | + | 1.14247i | ||||
\(184\) | 18.9176 | 1.39463 | ||||||||
\(185\) | −6.18156 | − | 2.75221i | −0.454477 | − | 0.202346i | ||||
\(186\) | 14.7346 | − | 10.7053i | 1.08040 | − | 0.784954i | ||||
\(187\) | 1.89459 | + | 2.10416i | 0.138546 | + | 0.153871i | ||||
\(188\) | −31.4788 | + | 6.69103i | −2.29583 | + | 0.487993i | ||||
\(189\) | −0.958928 | + | 0.203826i | −0.0697517 | + | 0.0148262i | ||||
\(190\) | 0.311420 | − | 2.96297i | 0.0225928 | − | 0.214956i | ||||
\(191\) | −2.76923 | − | 8.52281i | −0.200374 | − | 0.616689i | −0.999872 | − | 0.0160193i | \(-0.994901\pi\) |
0.799497 | − | 0.600670i | \(-0.205099\pi\) | |||||||
\(192\) | 8.36297 | − | 25.7386i | 0.603545 | − | 1.85752i | ||||
\(193\) | −15.4240 | − | 3.27848i | −1.11025 | − | 0.235990i | −0.383938 | − | 0.923359i | \(-0.625432\pi\) |
−0.726309 | + | 0.687368i | \(0.758766\pi\) | |||||||
\(194\) | 15.9753 | 1.14696 | ||||||||
\(195\) | 13.9471 | + | 2.96454i | 0.998771 | + | 0.212295i | ||||
\(196\) | 10.3155 | + | 17.8669i | 0.736818 | + | 1.27621i | ||||
\(197\) | −4.11645 | + | 7.12990i | −0.293285 | + | 0.507984i | −0.974584 | − | 0.224021i | \(-0.928082\pi\) |
0.681300 | + | 0.732005i | \(0.261415\pi\) | |||||||
\(198\) | 2.01190 | − | 2.23444i | 0.142980 | − | 0.158795i | ||||
\(199\) | 1.74922 | − | 16.6428i | 0.123999 | − | 1.17977i | −0.738692 | − | 0.674043i | \(-0.764556\pi\) |
0.862691 | − | 0.505731i | \(-0.168777\pi\) | |||||||
\(200\) | −0.496406 | − | 0.551315i | −0.0351012 | − | 0.0389838i | ||||
\(201\) | −3.69805 | + | 4.10710i | −0.260840 | + | 0.289692i | ||||
\(202\) | −1.20620 | − | 11.4762i | −0.0848677 | − | 0.807462i | ||||
\(203\) | −1.09860 | − | 0.798179i | −0.0771065 | − | 0.0560212i | ||||
\(204\) | −8.80127 | − | 15.2443i | −0.616212 | − | 1.06731i | ||||
\(205\) | 17.5631 | + | 7.81962i | 1.22666 | + | 0.546146i | ||||
\(206\) | 6.39219 | − | 19.6731i | 0.445365 | − | 1.37069i | ||||
\(207\) | 9.40895 | + | 6.83600i | 0.653967 | + | 0.475135i | ||||
\(208\) | −2.90049 | + | 1.29138i | −0.201113 | + | 0.0895412i | ||||
\(209\) | 0.0603871 | + | 0.574545i | 0.00417706 | + | 0.0397421i | ||||
\(210\) | 0.945202 | + | 2.90903i | 0.0652251 | + | 0.200742i | ||||
\(211\) | −1.55938 | + | 1.13296i | −0.107352 | + | 0.0779961i | −0.640166 | − | 0.768236i | \(-0.721135\pi\) |
0.532814 | + | 0.846232i | \(0.321135\pi\) | |||||||
\(212\) | 11.7750 | − | 20.3949i | 0.808710 | − | 1.40073i | ||||
\(213\) | 10.9677 | − | 4.88313i | 0.751494 | − | 0.334587i | ||||
\(214\) | −12.4282 | + | 5.53339i | −0.849574 | + | 0.378255i | ||||
\(215\) | −0.407278 | + | 0.705427i | −0.0277762 | + | 0.0481097i | ||||
\(216\) | 6.10927 | − | 4.43864i | 0.415683 | − | 0.302011i | ||||
\(217\) | −0.344042 | − | 1.05885i | −0.0233551 | − | 0.0718796i | ||||
\(218\) | 3.51237 | + | 33.4180i | 0.237888 | + | 2.26335i | ||||
\(219\) | −1.16175 | + | 0.517244i | −0.0785037 | + | 0.0349521i | ||||
\(220\) | 5.57365 | + | 4.04950i | 0.375776 | + | 0.273017i | ||||
\(221\) | −2.58972 | + | 7.97034i | −0.174203 | + | 0.536143i | ||||
\(222\) | −12.4502 | − | 5.54320i | −0.835605 | − | 0.372035i | ||||
\(223\) | −5.87577 | − | 10.1771i | −0.393471 | − | 0.681511i | 0.599434 | − | 0.800424i | \(-0.295392\pi\) |
−0.992905 | + | 0.118913i | \(0.962059\pi\) | |||||||
\(224\) | −1.55960 | − | 1.13312i | −0.104205 | − | 0.0757097i | ||||
\(225\) | −0.0476735 | − | 0.453583i | −0.00317824 | − | 0.0302389i | ||||
\(226\) | 11.6122 | − | 12.8967i | 0.772434 | − | 0.857874i | ||||
\(227\) | −3.88908 | − | 4.31926i | −0.258127 | − | 0.286679i | 0.600126 | − | 0.799905i | \(-0.295117\pi\) |
−0.858254 | + | 0.513226i | \(0.828450\pi\) | |||||||
\(228\) | 0.375418 | − | 3.57187i | 0.0248627 | − | 0.236553i | ||||
\(229\) | −12.4548 | + | 13.8325i | −0.823037 | + | 0.914075i | −0.997506 | − | 0.0705873i | \(-0.977513\pi\) |
0.174468 | + | 0.984663i | \(0.444179\pi\) | |||||||
\(230\) | −22.2613 | + | 38.5577i | −1.46787 | + | 2.54242i | ||||
\(231\) | −0.296558 | − | 0.513653i | −0.0195121 | − | 0.0337959i | ||||
\(232\) | 10.2314 | + | 2.17476i | 0.671726 | + | 0.142780i | ||||
\(233\) | 6.88627 | 0.451135 | 0.225567 | − | 0.974228i | \(-0.427576\pi\) | ||||
0.225567 | + | 0.974228i | \(0.427576\pi\) | |||||||
\(234\) | 8.70495 | + | 1.85029i | 0.569060 | + | 0.120958i | ||||
\(235\) | 7.70616 | − | 23.7171i | 0.502695 | − | 1.54714i | ||||
\(236\) | −0.649019 | − | 1.99747i | −0.0422475 | − | 0.130024i | ||||
\(237\) | 1.31062 | − | 12.4697i | 0.0851340 | − | 0.809996i | ||||
\(238\) | −1.75848 | + | 0.373777i | −0.113986 | + | 0.0242284i | ||||
\(239\) | −8.27437 | + | 1.75877i | −0.535225 | + | 0.113765i | −0.467591 | − | 0.883945i | \(-0.654878\pi\) |
−0.0676332 | + | 0.997710i | \(0.521545\pi\) | |||||||
\(240\) | 3.45779 | + | 3.84027i | 0.223200 | + | 0.247888i | ||||
\(241\) | −10.6075 | + | 7.70682i | −0.683291 | + | 0.496440i | −0.874448 | − | 0.485119i | \(-0.838776\pi\) |
0.191157 | + | 0.981560i | \(0.438776\pi\) | |||||||
\(242\) | −2.03902 | − | 0.907829i | −0.131073 | − | 0.0583574i | ||||
\(243\) | 13.0686 | 0.838349 | ||||||||
\(244\) | −21.2146 | + | 9.60627i | −1.35812 | + | 0.614978i | ||||
\(245\) | −15.9868 | −1.02136 | ||||||||
\(246\) | 35.3738 | + | 15.7494i | 2.25535 | + | 1.00415i | ||||
\(247\) | −1.38335 | + | 1.00507i | −0.0880207 | + | 0.0639508i | ||||
\(248\) | 5.73839 | + | 6.37313i | 0.364388 | + | 0.404694i | ||||
\(249\) | −16.0946 | + | 3.42102i | −1.01996 | + | 0.216798i | ||||
\(250\) | −23.5140 | + | 4.99806i | −1.48716 | + | 0.316105i | ||||
\(251\) | −2.31861 | + | 22.0601i | −0.146349 | + | 1.39242i | 0.637012 | + | 0.770854i | \(0.280170\pi\) |
−0.783361 | + | 0.621567i | \(0.786496\pi\) | |||||||
\(252\) | 0.353099 | + | 1.08673i | 0.0222432 | + | 0.0684574i | ||||
\(253\) | 2.66785 | − | 8.21078i | 0.167726 | − | 0.516207i | ||||
\(254\) | 37.3891 | + | 7.94730i | 2.34600 | + | 0.498658i | ||||
\(255\) | 13.6401 | 0.854176 | ||||||||
\(256\) | 8.26764 | + | 1.75734i | 0.516727 | + | 0.109834i | ||||
\(257\) | −7.08359 | − | 12.2691i | −0.441862 | − | 0.765328i | 0.555965 | − | 0.831205i | \(-0.312349\pi\) |
−0.997828 | + | 0.0658775i | \(0.979015\pi\) | |||||||
\(258\) | −0.820296 | + | 1.42079i | −0.0510694 | + | 0.0884548i | ||||
\(259\) | −0.557449 | + | 0.619110i | −0.0346382 | + | 0.0384696i | ||||
\(260\) | −2.13149 | + | 20.2798i | −0.132189 | + | 1.25770i | ||||
\(261\) | 4.30288 | + | 4.77883i | 0.266341 | + | 0.295802i | ||||
\(262\) | −15.3764 | + | 17.0773i | −0.949960 | + | 1.05504i | ||||
\(263\) | 0.109172 | + | 1.03870i | 0.00673185 | + | 0.0640493i | 0.997372 | − | 0.0724496i | \(-0.0230817\pi\) |
−0.990640 | + | 0.136499i | \(0.956415\pi\) | |||||||
\(264\) | 3.69613 | + | 2.68539i | 0.227481 | + | 0.165275i | ||||
\(265\) | 9.12436 | + | 15.8039i | 0.560505 | + | 0.970823i | ||||
\(266\) | −0.335096 | − | 0.149194i | −0.0205461 | − | 0.00914769i | ||||
\(267\) | −2.68621 | + | 8.26729i | −0.164393 | + | 0.505950i | ||||
\(268\) | −6.39424 | − | 4.64569i | −0.390590 | − | 0.283780i | ||||
\(269\) | 12.3725 | − | 5.50858i | 0.754363 | − | 0.335864i | 0.00673079 | − | 0.999977i | \(-0.497858\pi\) |
0.747632 | + | 0.664113i | \(0.231191\pi\) | |||||||
\(270\) | 1.85772 | + | 17.6750i | 0.113057 | + | 1.07567i | ||||
\(271\) | 2.49440 | + | 7.67698i | 0.151524 | + | 0.466343i | 0.997792 | − | 0.0664142i | \(-0.0211559\pi\) |
−0.846268 | + | 0.532757i | \(0.821156\pi\) | |||||||
\(272\) | −2.45718 | + | 1.78525i | −0.148989 | + | 0.108247i | ||||
\(273\) | 0.877759 | − | 1.52032i | 0.0531244 | − | 0.0920142i | ||||
\(274\) | −14.5405 | + | 6.47386i | −0.878426 | + | 0.391100i | ||||
\(275\) | −0.309291 | + | 0.137705i | −0.0186510 | + | 0.00830394i | ||||
\(276\) | −26.8361 | + | 46.4815i | −1.61534 | + | 2.79786i | ||||
\(277\) | −2.29010 | + | 1.66386i | −0.137599 | + | 0.0999716i | −0.654456 | − | 0.756101i | \(-0.727102\pi\) |
0.516856 | + | 0.856072i | \(0.327102\pi\) | |||||||
\(278\) | −5.72953 | − | 17.6337i | −0.343635 | − | 1.05760i | ||||
\(279\) | 0.551100 | + | 5.24337i | 0.0329935 | + | 0.313912i | ||||
\(280\) | −1.31574 | + | 0.585805i | −0.0786304 | + | 0.0350085i | ||||
\(281\) | 14.9647 | + | 10.8725i | 0.892718 | + | 0.648598i | 0.936585 | − | 0.350439i | \(-0.113968\pi\) |
−0.0438669 | + | 0.999037i | \(0.513968\pi\) | |||||||
\(282\) | 15.5209 | − | 47.7685i | 0.924257 | − | 2.84457i | ||||
\(283\) | 19.1997 | + | 8.54828i | 1.14131 | + | 0.508142i | 0.888273 | − | 0.459315i | \(-0.151905\pi\) |
0.253033 | + | 0.967458i | \(0.418572\pi\) | |||||||
\(284\) | 8.58469 | + | 14.8691i | 0.509408 | + | 0.882320i | ||||
\(285\) | 2.25154 | + | 1.63584i | 0.133370 | + | 0.0968989i | ||||
\(286\) | −0.690544 | − | 6.57008i | −0.0408327 | − | 0.388497i | ||||
\(287\) | 1.58383 | − | 1.75903i | 0.0934908 | − | 0.103832i | ||||
\(288\) | 6.10850 | + | 6.78417i | 0.359947 | + | 0.399761i | ||||
\(289\) | 0.938984 | − | 8.93384i | 0.0552344 | − | 0.525520i | ||||
\(290\) | −16.4724 | + | 18.2944i | −0.967292 | + | 1.07429i | ||||
\(291\) | −7.46154 | + | 12.9238i | −0.437403 | + | 0.757605i | ||||
\(292\) | −0.909331 | − | 1.57501i | −0.0532145 | − | 0.0921703i | ||||
\(293\) | 22.6348 | + | 4.81118i | 1.32234 | + | 0.281072i | 0.814392 | − | 0.580316i | \(-0.197071\pi\) |
0.507948 | + | 0.861388i | \(0.330404\pi\) | |||||||
\(294\) | −32.1988 | −1.87787 | ||||||||
\(295\) | 1.59192 | + | 0.338373i | 0.0926851 | + | 0.0197008i | ||||
\(296\) | 1.98302 | − | 6.10310i | 0.115261 | − | 0.354736i | ||||
\(297\) | −1.06494 | − | 3.27755i | −0.0617941 | − | 0.190183i | ||||
\(298\) | −3.89674 | + | 37.0750i | −0.225732 | + | 2.14770i | ||||
\(299\) | 24.9947 | − | 5.31280i | 1.44548 | − | 0.307247i | ||||
\(300\) | 2.05879 | − | 0.437610i | 0.118865 | − | 0.0252654i | ||||
\(301\) | 0.0671056 | + | 0.0745283i | 0.00386790 | + | 0.00429574i | ||||
\(302\) | −10.5367 | + | 7.65538i | −0.606320 | + | 0.440517i | ||||
\(303\) | 9.84745 | + | 4.38437i | 0.565721 | + | 0.251875i | ||||
\(304\) | −0.619705 | −0.0355425 | ||||||||
\(305\) | 1.77297 | − | 17.9585i | 0.101520 | − | 1.02830i | ||||
\(306\) | 8.51335 | 0.486676 | ||||||||
\(307\) | 25.6598 | + | 11.4245i | 1.46448 | + | 0.652029i | 0.975447 | − | 0.220236i | \(-0.0706827\pi\) |
0.489034 | + | 0.872265i | \(0.337349\pi\) | |||||||
\(308\) | 0.686225 | − | 0.498572i | 0.0391013 | − | 0.0284088i | ||||
\(309\) | 12.9297 | + | 14.3599i | 0.735544 | + | 0.816904i | ||||
\(310\) | −19.7423 | + | 4.19635i | −1.12129 | + | 0.238337i | ||||
\(311\) | 2.36169 | − | 0.501993i | 0.133919 | − | 0.0284654i | −0.140464 | − | 0.990086i | \(-0.544860\pi\) |
0.274384 | + | 0.961620i | \(0.411526\pi\) | |||||||
\(312\) | −1.41348 | + | 13.4484i | −0.0800226 | + | 0.761364i | ||||
\(313\) | −8.06993 | − | 24.8367i | −0.456139 | − | 1.40385i | −0.869792 | − | 0.493418i | \(-0.835747\pi\) |
0.413653 | − | 0.910435i | \(-0.364253\pi\) | |||||||
\(314\) | 7.95695 | − | 24.4890i | 0.449037 | − | 1.38199i | ||||
\(315\) | −0.866085 | − | 0.184092i | −0.0487984 | − | 0.0103724i | ||||
\(316\) | 17.9313 | 1.00872 | ||||||||
\(317\) | −7.74171 | − | 1.64555i | −0.434818 | − | 0.0924234i | −0.0146979 | − | 0.999892i | \(-0.504679\pi\) |
−0.420120 | + | 0.907469i | \(0.638012\pi\) | |||||||
\(318\) | 18.3773 | + | 31.8304i | 1.03055 | + | 1.78496i | ||||
\(319\) | 2.38678 | − | 4.13403i | 0.133634 | − | 0.231461i | ||||
\(320\) | −20.0678 | + | 22.2876i | −1.12183 | + | 1.24591i | ||||
\(321\) | 1.32838 | − | 12.6387i | 0.0741430 | − | 0.705424i | ||||
\(322\) | 3.66791 | + | 4.07363i | 0.204405 | + | 0.227014i | ||||
\(323\) | −1.09452 | + | 1.21559i | −0.0609009 | + | 0.0676373i | ||||
\(324\) | 3.49908 | + | 33.2915i | 0.194393 | + | 1.84953i | ||||
\(325\) | −0.810702 | − | 0.589009i | −0.0449696 | − | 0.0326724i | ||||
\(326\) | 24.7152 | + | 42.8079i | 1.36885 | + | 2.37091i | ||||
\(327\) | −28.6752 | − | 12.7670i | −1.58574 | − | 0.706017i | ||||
\(328\) | −5.63419 | + | 17.3402i | −0.311096 | + | 0.957455i | ||||
\(329\) | −2.48393 | − | 1.80468i | −0.136944 | − | 0.0994954i | ||||
\(330\) | −9.82276 | + | 4.37338i | −0.540725 | + | 0.240746i | ||||
\(331\) | 2.06138 | + | 19.6127i | 0.113304 | + | 1.07801i | 0.892443 | + | 0.451161i | \(0.148990\pi\) |
−0.779139 | + | 0.626851i | \(0.784343\pi\) | |||||||
\(332\) | −7.27157 | − | 22.3796i | −0.399079 | − | 1.22824i | ||||
\(333\) | 3.19168 | − | 2.31889i | 0.174903 | − | 0.127074i | ||||
\(334\) | 8.86765 | − | 15.3592i | 0.485216 | − | 0.840419i | ||||
\(335\) | 5.59504 | − | 2.49107i | 0.305690 | − | 0.136102i | ||||
\(336\) | 0.581226 | − | 0.258778i | 0.0317085 | − | 0.0141175i | ||||
\(337\) | −13.3266 | + | 23.0824i | −0.725948 | + | 1.25738i | 0.232634 | + | 0.972564i | \(0.425266\pi\) |
−0.958582 | + | 0.284815i | \(0.908068\pi\) | |||||||
\(338\) | −7.65520 | + | 5.56183i | −0.416388 | + | 0.302524i | ||||
\(339\) | 5.00953 | + | 15.4177i | 0.272080 | + | 0.837377i | ||||
\(340\) | 2.03902 | + | 19.4000i | 0.110581 | + | 1.05211i | ||||
\(341\) | 3.57537 | − | 1.59186i | 0.193617 | − | 0.0862038i | ||||
\(342\) | 1.40528 | + | 1.02100i | 0.0759889 | + | 0.0552092i | ||||
\(343\) | −1.22358 | + | 3.76578i | −0.0660670 | + | 0.203333i | ||||
\(344\) | −0.705713 | − | 0.314204i | −0.0380495 | − | 0.0169407i | ||||
\(345\) | −20.7951 | − | 36.0182i | −1.11957 | − | 1.93915i | ||||
\(346\) | 12.4669 | + | 9.05773i | 0.670224 | + | 0.486946i | ||||
\(347\) | −2.58560 | − | 24.6003i | −0.138802 | − | 1.32061i | −0.813087 | − | 0.582143i | \(-0.802215\pi\) |
0.674285 | − | 0.738472i | \(-0.264452\pi\) | |||||||
\(348\) | −19.8575 | + | 22.0540i | −1.06447 | + | 1.18222i | ||||
\(349\) | −8.17445 | − | 9.07865i | −0.437569 | − | 0.485969i | 0.483514 | − | 0.875337i | \(-0.339360\pi\) |
−0.921082 | + | 0.389368i | \(0.872694\pi\) | |||||||
\(350\) | 0.0224699 | − | 0.213787i | 0.00120107 | − | 0.0114274i | ||||
\(351\) | 6.82527 | − | 7.58023i | 0.364306 | − | 0.404603i | ||||
\(352\) | 3.38835 | − | 5.86879i | 0.180600 | − | 0.312808i | ||||
\(353\) | −15.9857 | − | 27.6881i | −0.850835 | − | 1.47369i | −0.880455 | − | 0.474129i | \(-0.842763\pi\) |
0.0296201 | − | 0.999561i | \(-0.490570\pi\) | |||||||
\(354\) | 3.20627 | + | 0.681514i | 0.170411 | + | 0.0362221i | ||||
\(355\) | −13.3044 | −0.706126 | ||||||||
\(356\) | −12.1599 | − | 2.58467i | −0.644475 | − | 0.136987i | ||||
\(357\) | 0.518951 | − | 1.59717i | 0.0274658 | − | 0.0845310i | ||||
\(358\) | 10.7858 | + | 33.1952i | 0.570045 | + | 1.75442i | ||||
\(359\) | 0.663276 | − | 6.31065i | 0.0350063 | − | 0.333063i | −0.962977 | − | 0.269584i | \(-0.913114\pi\) |
0.997983 | − | 0.0634790i | \(-0.0202196\pi\) | |||||||
\(360\) | 6.67130 | − | 1.41803i | 0.351608 | − | 0.0747367i | ||||
\(361\) | 18.2583 | − | 3.88093i | 0.960966 | − | 0.204260i | ||||
\(362\) | −29.1099 | − | 32.3298i | −1.52998 | − | 1.69922i | ||||
\(363\) | 1.68678 | − | 1.22552i | 0.0885330 | − | 0.0643230i | ||||
\(364\) | 2.29353 | + | 1.02115i | 0.120214 | + | 0.0535226i | ||||
\(365\) | 1.40927 | 0.0737645 | ||||||||
\(366\) | 3.57092 | − | 36.1701i | 0.186655 | − | 1.89064i | ||||
\(367\) | −1.84173 | −0.0961377 | −0.0480689 | − | 0.998844i | \(-0.515307\pi\) | ||||
−0.0480689 | + | 0.998844i | \(0.515307\pi\) | |||||||
\(368\) | 8.46026 | + | 3.76675i | 0.441021 | + | 0.196355i | ||||
\(369\) | −9.06824 | + | 6.58846i | −0.472074 | + | 0.342982i | ||||
\(370\) | 10.1058 | + | 11.2236i | 0.525374 | + | 0.583487i | ||||
\(371\) | 2.19768 | − | 0.467130i | 0.114098 | − | 0.0242522i | ||||
\(372\) | −23.7994 | + | 5.05872i | −1.23394 | + | 0.262282i | ||||
\(373\) | 2.13032 | − | 20.2687i | 0.110304 | − | 1.04947i | −0.789671 | − | 0.613531i | \(-0.789749\pi\) |
0.899975 | − | 0.435942i | \(-0.143585\pi\) | |||||||
\(374\) | −1.95289 | − | 6.01038i | −0.100982 | − | 0.310789i | ||||
\(375\) | 6.93929 | − | 21.3569i | 0.358343 | − | 1.10287i | ||||
\(376\) | 23.1333 | + | 4.91713i | 1.19301 | + | 0.253581i | ||||
\(377\) | 14.1289 | 0.727676 | ||||||||
\(378\) | 2.14031 | + | 0.454937i | 0.110086 | + | 0.0233994i | ||||
\(379\) | −9.63232 | − | 16.6837i | −0.494779 | − | 0.856982i | 0.505203 | − | 0.863001i | \(-0.331418\pi\) |
−0.999982 | + | 0.00601826i | \(0.998084\pi\) | |||||||
\(380\) | −1.99004 | + | 3.44685i | −0.102087 | + | 0.176820i | ||||
\(381\) | −23.8925 | + | 26.5353i | −1.22405 | + | 1.35944i | ||||
\(382\) | −2.09075 | + | 19.8921i | −0.106972 | + | 1.01777i | ||||
\(383\) | 16.3766 | + | 18.1880i | 0.836803 | + | 0.929364i | 0.998345 | − | 0.0575022i | \(-0.0183136\pi\) |
−0.161543 | + | 0.986866i | \(0.551647\pi\) | |||||||
\(384\) | −21.5098 | + | 23.8891i | −1.09767 | + | 1.21909i | ||||
\(385\) | 0.0687045 | + | 0.653680i | 0.00350151 | + | 0.0333146i | ||||
\(386\) | 28.4736 | + | 20.6873i | 1.44927 | + | 1.05295i | ||||
\(387\) | −0.237457 | − | 0.411287i | −0.0120706 | − | 0.0209069i | ||||
\(388\) | −19.4966 | − | 8.68043i | −0.989788 | − | 0.440682i | ||||
\(389\) | −1.75241 | + | 5.39335i | −0.0888505 | + | 0.273454i | −0.985602 | − | 0.169080i | \(-0.945920\pi\) |
0.896752 | + | 0.442534i | \(0.145920\pi\) | |||||||
\(390\) | −25.7470 | − | 18.7063i | −1.30375 | − | 0.947231i | ||||
\(391\) | 22.3312 | − | 9.94251i | 1.12934 | − | 0.502814i | ||||
\(392\) | −1.58479 | − | 15.0783i | −0.0800439 | − | 0.761567i | ||||
\(393\) | −6.63342 | − | 20.4156i | −0.334612 | − | 1.02983i | ||||
\(394\) | 14.8662 | − | 10.8009i | 0.748950 | − | 0.544144i | ||||
\(395\) | −6.94743 | + | 12.0333i | −0.349563 | + | 0.605461i | ||||
\(396\) | −3.66949 | + | 1.63376i | −0.184399 | + | 0.0820996i | ||||
\(397\) | −30.2735 | + | 13.4786i | −1.51938 | + | 0.676472i | −0.985591 | − | 0.169145i | \(-0.945900\pi\) |
−0.533790 | + | 0.845617i | \(0.679233\pi\) | |||||||
\(398\) | −18.6755 | + | 32.3469i | −0.936117 | + | 1.62140i | ||||
\(399\) | 0.277209 | − | 0.201404i | 0.0138778 | − | 0.0100828i | ||||
\(400\) | −0.112226 | − | 0.345397i | −0.00561132 | − | 0.0172699i | ||||
\(401\) | −0.974736 | − | 9.27399i | −0.0486760 | − | 0.463121i | −0.991526 | − | 0.129905i | \(-0.958533\pi\) |
0.942850 | − | 0.333216i | \(-0.108134\pi\) | |||||||
\(402\) | 11.2689 | − | 5.01725i | 0.562043 | − | 0.250238i | ||||
\(403\) | 9.37161 | + | 6.80887i | 0.466833 | + | 0.339174i | ||||
\(404\) | −4.76371 | + | 14.6612i | −0.237004 | + | 0.729422i | ||||
\(405\) | −23.6969 | − | 10.5505i | −1.17751 | − | 0.524261i | ||||
\(406\) | 1.51545 | + | 2.62484i | 0.0752106 | + | 0.130269i | ||||
\(407\) | −2.36926 | − | 1.72137i | −0.117440 | − | 0.0853252i | ||||
\(408\) | 1.35216 | + | 12.8650i | 0.0669420 | + | 0.636910i | ||||
\(409\) | −18.6063 | + | 20.6643i | −0.920020 | + | 1.02179i | 0.0796681 | + | 0.996821i | \(0.474614\pi\) |
−0.999688 | + | 0.0249646i | \(0.992053\pi\) | |||||||
\(410\) | −28.7127 | − | 31.8887i | −1.41802 | − | 1.57487i | ||||
\(411\) | 1.55416 | − | 14.7868i | 0.0766609 | − | 0.729380i | ||||
\(412\) | −18.4909 | + | 20.5362i | −0.910980 | + | 1.01175i | ||||
\(413\) | 0.100187 | − | 0.173530i | 0.00492990 | − | 0.00853884i | ||||
\(414\) | −12.9791 | − | 22.4804i | −0.637887 | − | 1.10485i | ||||
\(415\) | 17.8358 | + | 3.79111i | 0.875524 | + | 0.186098i | ||||
\(416\) | 20.0578 | 0.983416 | ||||||||
\(417\) | 16.9415 | + | 3.60102i | 0.829628 | + | 0.176343i | ||||
\(418\) | 0.398458 | − | 1.22633i | 0.0194892 | − | 0.0599817i | ||||
\(419\) | 8.33275 | + | 25.6456i | 0.407081 | + | 1.25287i | 0.919145 | + | 0.393920i | \(0.128881\pi\) |
−0.512063 | + | 0.858948i | \(0.671119\pi\) | |||||||
\(420\) | 0.427126 | − | 4.06384i | 0.0208416 | − | 0.198295i | ||||
\(421\) | −5.31308 | + | 1.12933i | −0.258944 | + | 0.0550402i | −0.335554 | − | 0.942021i | \(-0.608924\pi\) |
0.0766105 | + | 0.997061i | \(0.475590\pi\) | |||||||
\(422\) | 4.20814 | − | 0.894469i | 0.204849 | − | 0.0435421i | ||||
\(423\) | 9.72881 | + | 10.8049i | 0.473031 | + | 0.525354i | ||||
\(424\) | −14.0013 | + | 10.1725i | −0.679961 | + | 0.494020i | ||||
\(425\) | −0.875734 | − | 0.389902i | −0.0424793 | − | 0.0189130i | ||||
\(426\) | −26.7964 | −1.29829 | ||||||||
\(427\) | −2.03537 | − | 0.890853i | −0.0984986 | − | 0.0431114i | ||||
\(428\) | 18.1743 | 0.878488 | ||||||||
\(429\) | 5.63763 | + | 2.51004i | 0.272187 | + | 0.121186i | ||||
\(430\) | 1.47085 | − | 1.06864i | 0.0709309 | − | 0.0515343i | ||||
\(431\) | 19.9155 | + | 22.1184i | 0.959294 | + | 1.06540i | 0.997810 | + | 0.0661456i | \(0.0210702\pi\) |
−0.0385163 | + | 0.999258i | \(0.512263\pi\) | |||||||
\(432\) | 3.61595 | − | 0.768594i | 0.173972 | − | 0.0369790i | ||||
\(433\) | 5.46683 | − | 1.16201i | 0.262719 | − | 0.0558427i | −0.0746687 | − | 0.997208i | \(-0.523790\pi\) |
0.337388 | + | 0.941366i | \(0.390457\pi\) | |||||||
\(434\) | −0.259749 | + | 2.47135i | −0.0124684 | + | 0.118629i | ||||
\(435\) | −7.10621 | − | 21.8707i | −0.340717 | − | 1.04862i | ||||
\(436\) | 13.8716 | − | 42.6925i | 0.664331 | − | 2.04460i | ||||
\(437\) | 4.87857 | + | 1.03697i | 0.233374 | + | 0.0496051i | ||||
\(438\) | 2.83840 | 0.135624 | ||||||||
\(439\) | 30.6815 | + | 6.52156i | 1.46435 | + | 0.311257i | 0.870041 | − | 0.492980i | \(-0.164092\pi\) |
0.594308 | + | 0.804237i | \(0.297426\pi\) | |||||||
\(440\) | −2.53146 | − | 4.38462i | −0.120683 | − | 0.209028i | ||||
\(441\) | 4.66040 | − | 8.07205i | 0.221924 | − | 0.384383i | ||||
\(442\) | 12.5162 | − | 13.9006i | 0.595334 | − | 0.661186i | ||||
\(443\) | 3.68082 | − | 35.0206i | 0.174881 | − | 1.66388i | −0.457490 | − | 0.889215i | \(-0.651251\pi\) |
0.632371 | − | 0.774666i | \(-0.282082\pi\) | |||||||
\(444\) | 12.1825 | + | 13.5301i | 0.578157 | + | 0.642109i | ||||
\(445\) | 6.44584 | − | 7.15883i | 0.305562 | − | 0.339361i | ||||
\(446\) | 2.74170 | + | 26.0855i | 0.129823 | + | 1.23519i | ||||
\(447\) | −28.1731 | − | 20.4690i | −1.33254 | − | 0.968148i | ||||
\(448\) | 1.84623 | + | 3.19777i | 0.0872263 | + | 0.151080i | ||||
\(449\) | −2.20769 | − | 0.982927i | −0.104187 | − | 0.0463872i | 0.353981 | − | 0.935253i | \(-0.384828\pi\) |
−0.458168 | + | 0.888865i | \(0.651494\pi\) | |||||||
\(450\) | −0.314569 | + | 0.968144i | −0.0148289 | + | 0.0456387i | ||||
\(451\) | 6.73159 | + | 4.89079i | 0.316978 | + | 0.230298i | ||||
\(452\) | −21.1794 | + | 9.42969i | −0.996196 | + | 0.443535i | ||||
\(453\) | −1.27172 | − | 12.0996i | −0.0597507 | − | 0.568490i | ||||
\(454\) | 4.00875 | + | 12.3377i | 0.188140 | + | 0.579035i | ||||
\(455\) | −1.57389 | + | 1.14350i | −0.0737851 | + | 0.0536080i | ||||
\(456\) | −1.31968 | + | 2.28576i | −0.0617998 | + | 0.107040i | ||||
\(457\) | −25.0974 | + | 11.1741i | −1.17401 | + | 0.522702i | −0.898661 | − | 0.438643i | \(-0.855459\pi\) |
−0.275347 | + | 0.961345i | \(0.588793\pi\) | |||||||
\(458\) | 37.9531 | − | 16.8978i | 1.77343 | − | 0.789583i | ||||
\(459\) | 4.87885 | − | 8.45042i | 0.227725 | − | 0.394432i | ||||
\(460\) | 48.1192 | − | 34.9606i | 2.24357 | − | 1.63005i | ||||
\(461\) | 8.42372 | + | 25.9255i | 0.392332 | + | 1.20747i | 0.931020 | + | 0.364968i | \(0.118920\pi\) |
−0.538689 | + | 0.842505i | \(0.681080\pi\) | |||||||
\(462\) | 0.138377 | + | 1.31657i | 0.00643789 | + | 0.0612524i | ||||
\(463\) | −1.71171 | + | 0.762103i | −0.0795500 | + | 0.0354179i | −0.446126 | − | 0.894970i | \(-0.647197\pi\) |
0.366576 | + | 0.930388i | \(0.380530\pi\) | |||||||
\(464\) | 4.14263 | + | 3.00979i | 0.192317 | + | 0.139726i | ||||
\(465\) | 5.82620 | − | 17.9312i | 0.270184 | − | 0.831540i | ||||
\(466\) | −14.0412 | − | 6.25155i | −0.650447 | − | 0.289598i | ||||
\(467\) | −11.5393 | − | 19.9867i | −0.533975 | − | 0.924872i | −0.999212 | − | 0.0396861i | \(-0.987364\pi\) |
0.465237 | − | 0.885186i | \(-0.345969\pi\) | |||||||
\(468\) | −9.61832 | − | 6.98812i | −0.444607 | − | 0.323026i | ||||
\(469\) | −0.0788196 | − | 0.749918i | −0.00363955 | − | 0.0346280i | ||||
\(470\) | −37.2441 | + | 41.3638i | −1.71794 | + | 1.90797i | ||||
\(471\) | 16.0948 | + | 17.8751i | 0.741608 | + | 0.823639i | ||||
\(472\) | −0.161335 | + | 1.53500i | −0.00742603 | + | 0.0706540i | ||||
\(473\) | −0.235896 | + | 0.261989i | −0.0108465 | + | 0.0120463i | ||||
\(474\) | −13.9928 | + | 24.2362i | −0.642709 | + | 1.11320i | ||||
\(475\) | −0.0977951 | − | 0.169386i | −0.00448715 | − | 0.00777197i | ||||
\(476\) | 2.34919 | + | 0.499336i | 0.107675 | + | 0.0228870i | ||||
\(477\) | −10.6396 | −0.487154 | ||||||||
\(478\) | 18.4682 | + | 3.92555i | 0.844718 | + | 0.179550i | ||||
\(479\) | 6.38411 | − | 19.6483i | 0.291698 | − | 0.897753i | −0.692613 | − | 0.721309i | \(-0.743541\pi\) |
0.984311 | − | 0.176444i | \(-0.0564593\pi\) | |||||||
\(480\) | −10.0882 | − | 31.0483i | −0.460461 | − | 1.41715i | ||||
\(481\) | 0.906059 | − | 8.62057i | 0.0413127 | − | 0.393064i | ||||
\(482\) | 28.6254 | − | 6.08452i | 1.30385 | − | 0.277142i | ||||
\(483\) | −5.00867 | + | 1.06462i | −0.227902 | + | 0.0484421i | ||||
\(484\) | 1.99518 | + | 2.21587i | 0.0906898 | + | 0.100721i | ||||
\(485\) | 13.3791 | − | 9.72050i | 0.607515 | − | 0.441385i | ||||
\(486\) | −26.6470 | − | 11.8640i | −1.20873 | − | 0.538163i | ||||
\(487\) | −21.5669 | −0.977291 | −0.488646 | − | 0.872482i | \(-0.662509\pi\) | ||||
−0.488646 | + | 0.872482i | \(0.662509\pi\) | |||||||
\(488\) | 17.1137 | − | 0.108040i | 0.774703 | − | 0.00489076i | ||||
\(489\) | −46.1747 | −2.08809 | ||||||||
\(490\) | 32.5973 | + | 14.5132i | 1.47259 | + | 0.655641i | ||||
\(491\) | 5.58278 | − | 4.05613i | 0.251947 | − | 0.183050i | −0.454642 | − | 0.890674i | \(-0.650233\pi\) |
0.706589 | + | 0.707624i | \(0.250233\pi\) | |||||||
\(492\) | −34.6132 | − | 38.4419i | −1.56048 | − | 1.73309i | ||||
\(493\) | 13.2206 | − | 2.81013i | 0.595427 | − | 0.126562i | ||||
\(494\) | 3.73311 | − | 0.793497i | 0.167961 | − | 0.0357011i | ||||
\(495\) | 0.325351 | − | 3.09551i | 0.0146234 | − | 0.139133i | ||||
\(496\) | 1.29732 | + | 3.99275i | 0.0582515 | + | 0.179280i | ||||
\(497\) | −0.506181 | + | 1.55786i | −0.0227053 | + | 0.0698797i | ||||
\(498\) | 35.9229 | + | 7.63565i | 1.60974 | + | 0.342162i | ||||
\(499\) | 27.3195 | 1.22299 | 0.611494 | − | 0.791249i | \(-0.290569\pi\) | ||||
0.611494 | + | 0.791249i | \(0.290569\pi\) | |||||||
\(500\) | 31.4128 | + | 6.67700i | 1.40482 | + | 0.298604i | ||||
\(501\) | 8.28359 | + | 14.3476i | 0.370084 | + | 0.641003i | ||||
\(502\) | 24.7545 | − | 42.8760i | 1.10485 | − | 1.91365i | ||||
\(503\) | −14.2655 | + | 15.8435i | −0.636069 | + | 0.706426i | −0.971873 | − | 0.235506i | \(-0.924325\pi\) |
0.335804 | + | 0.941932i | \(0.390992\pi\) | |||||||
\(504\) | 0.0877743 | − | 0.835117i | 0.00390978 | − | 0.0371991i | ||||
\(505\) | −7.99311 | − | 8.87725i | −0.355689 | − | 0.395032i | ||||
\(506\) | −12.8938 | + | 14.3200i | −0.573198 | + | 0.636601i | ||||
\(507\) | −0.923940 | − | 8.79070i | −0.0410336 | − | 0.390409i | ||||
\(508\) | −41.3121 | − | 30.0150i | −1.83293 | − | 1.33170i | ||||
\(509\) | 19.1543 | + | 33.1763i | 0.849001 | + | 1.47051i | 0.882101 | + | 0.471060i | \(0.156129\pi\) |
−0.0331003 | + | 0.999452i | \(0.510538\pi\) | |||||||
\(510\) | −27.8124 | − | 12.3829i | −1.23155 | − | 0.548323i | ||||
\(511\) | 0.0536170 | − | 0.165016i | 0.00237188 | − | 0.00729989i | ||||
\(512\) | 9.68422 | + | 7.03600i | 0.427986 | + | 0.310950i | ||||
\(513\) | 1.81879 | − | 0.809778i | 0.0803016 | − | 0.0357526i | ||||
\(514\) | 3.30528 | + | 31.4477i | 0.145790 | + | 1.38710i | ||||
\(515\) | −6.61715 | − | 20.3655i | −0.291586 | − | 0.897411i | ||||
\(516\) | 1.77312 | − | 1.28825i | 0.0780572 | − | 0.0567119i | ||||
\(517\) | 5.39652 | − | 9.34705i | 0.237339 | − | 0.411083i | ||||
\(518\) | 1.69869 | − | 0.756308i | 0.0746364 | − | 0.0332303i | ||||
\(519\) | −13.1505 | + | 5.85496i | −0.577241 | + | 0.257004i | ||||
\(520\) | 7.49267 | − | 12.9777i | 0.328575 | − | 0.569109i | ||||
\(521\) | −3.83653 | + | 2.78740i | −0.168081 | + | 0.122118i | −0.668646 | − | 0.743581i | \(-0.733126\pi\) |
0.500565 | + | 0.865699i | \(0.333126\pi\) | |||||||
\(522\) | −4.43528 | − | 13.6504i | −0.194127 | − | 0.597461i | ||||
\(523\) | 2.07185 | + | 19.7124i | 0.0905959 | + | 0.861962i | 0.941584 | + | 0.336778i | \(0.109337\pi\) |
−0.850988 | + | 0.525185i | \(0.823996\pi\) | |||||||
\(524\) | 28.0449 | − | 12.4864i | 1.22515 | − | 0.545472i | ||||
\(525\) | 0.162456 | + | 0.118031i | 0.00709014 | + | 0.00515129i | ||||
\(526\) | 0.720362 | − | 2.21705i | 0.0314093 | − | 0.0966678i | ||||
\(527\) | 10.1234 | + | 4.50722i | 0.440981 | + | 0.196337i | ||||
\(528\) | 1.11827 | + | 1.93690i | 0.0486664 | + | 0.0842926i | ||||
\(529\) | −41.6922 | − | 30.2911i | −1.81270 | − | 1.31701i | ||||
\(530\) | −4.25753 | − | 40.5077i | −0.184935 | − | 1.75954i | ||||
\(531\) | −0.634922 | + | 0.705153i | −0.0275533 | + | 0.0306010i | ||||
\(532\) | 0.327891 | + | 0.364160i | 0.0142159 | + | 0.0157883i | ||||
\(533\) | −2.57431 | + | 24.4929i | −0.111506 | + | 1.06091i | ||||
\(534\) | 12.9825 | − | 14.4185i | 0.561808 | − | 0.623951i | ||||
\(535\) | −7.04157 | + | 12.1964i | −0.304434 | + | 0.527295i | ||||
\(536\) | 2.90415 | + | 5.03014i | 0.125440 | + | 0.217269i | ||||
\(537\) | −31.8921 | − | 6.77887i | −1.37624 | − | 0.292530i | ||||
\(538\) | −30.2285 | −1.30324 | ||||||||
\(539\) | −6.76788 | − | 1.43856i | −0.291513 | − | 0.0619630i | ||||
\(540\) | 7.33681 | − | 22.5804i | 0.315726 | − | 0.971705i | ||||
\(541\) | 6.64826 | + | 20.4612i | 0.285831 | + | 0.879697i | 0.986148 | + | 0.165866i | \(0.0530418\pi\) |
−0.700317 | + | 0.713832i | \(0.746958\pi\) | |||||||
\(542\) | 1.88325 | − | 17.9180i | 0.0808927 | − | 0.769643i | ||||
\(543\) | 39.7506 | − | 8.44925i | 1.70586 | − | 0.362592i | ||||
\(544\) | 18.7684 | − | 3.98935i | 0.804688 | − | 0.171042i | ||||
\(545\) | 23.2754 | + | 25.8500i | 0.997010 | + | 1.10729i | ||||
\(546\) | −3.16996 | + | 2.30311i | −0.135662 | + | 0.0985640i | ||||
\(547\) | 30.6324 | + | 13.6384i | 1.30975 | + | 0.583137i | 0.938462 | − | 0.345382i | \(-0.112251\pi\) |
0.371285 | + | 0.928519i | \(0.378917\pi\) | |||||||
\(548\) | 21.2633 | 0.908321 | ||||||||
\(549\) | 8.55080 | + | 6.13042i | 0.364939 | + | 0.261640i | ||||
\(550\) | 0.755663 | 0.0322216 | ||||||||
\(551\) | 2.51932 | + | 1.12167i | 0.107326 | + | 0.0477848i | ||||
\(552\) | 31.9099 | − | 23.1839i | 1.35817 | − | 0.986772i | ||||
\(553\) | 1.14470 | + | 1.27132i | 0.0486776 | + | 0.0540619i | ||||
\(554\) | 6.18006 | − | 1.31361i | 0.262566 | − | 0.0558101i | ||||
\(555\) | −13.7998 | + | 2.93324i | −0.585769 | + | 0.124509i | ||||
\(556\) | −2.58911 | + | 24.6338i | −0.109803 | + | 1.04470i | ||||
\(557\) | −11.2881 | − | 34.7412i | −0.478292 | − | 1.47203i | −0.841466 | − | 0.540311i | \(-0.818307\pi\) |
0.363173 | − | 0.931722i | \(-0.381693\pi\) | |||||||
\(558\) | 3.63638 | − | 11.1916i | 0.153940 | − | 0.473779i | ||||
\(559\) | −1.02066 | − | 0.216947i | −0.0431692 | − | 0.00917589i | ||||
\(560\) | −0.705060 | −0.0297942 | ||||||||
\(561\) | 5.77444 | + | 1.22739i | 0.243797 | + | 0.0518206i | ||||
\(562\) | −20.6429 | − | 35.7546i | −0.870768 | − | 1.50821i | ||||
\(563\) | −10.0697 | + | 17.4413i | −0.424388 | + | 0.735062i | −0.996363 | − | 0.0852094i | \(-0.972844\pi\) |
0.571975 | + | 0.820271i | \(0.306177\pi\) | |||||||
\(564\) | −44.8979 | + | 49.8641i | −1.89054 | + | 2.09966i | ||||
\(565\) | 1.87785 | − | 17.8665i | 0.0790017 | − | 0.751651i | ||||
\(566\) | −31.3882 | − | 34.8602i | −1.31935 | − | 1.46528i | ||||
\(567\) | −2.13697 | + | 2.37335i | −0.0897444 | + | 0.0996713i | ||||
\(568\) | −1.31889 | − | 12.5484i | −0.0553393 | − | 0.526518i | ||||
\(569\) | −9.77076 | − | 7.09887i | −0.409612 | − | 0.297600i | 0.363833 | − | 0.931464i | \(-0.381468\pi\) |
−0.773445 | + | 0.633864i | \(0.781468\pi\) | |||||||
\(570\) | −3.10587 | − | 5.37952i | −0.130091 | − | 0.225323i | ||||
\(571\) | −9.86291 | − | 4.39125i | −0.412750 | − | 0.183768i | 0.189847 | − | 0.981814i | \(-0.439201\pi\) |
−0.602597 | + | 0.798045i | \(0.705867\pi\) | |||||||
\(572\) | −2.72721 | + | 8.39349i | −0.114030 | + | 0.350949i | ||||
\(573\) | −15.1159 | − | 10.9824i | −0.631477 | − | 0.458795i | ||||
\(574\) | −4.82636 | + | 2.14883i | −0.201448 | + | 0.0896906i | ||||
\(575\) | 0.305527 | + | 2.90690i | 0.0127414 | + | 0.121226i | ||||
\(576\) | −5.40338 | − | 16.6299i | −0.225141 | − | 0.692912i | ||||
\(577\) | 10.0784 | − | 7.32237i | 0.419569 | − | 0.304834i | −0.357896 | − | 0.933762i | \(-0.616506\pi\) |
0.777464 | + | 0.628927i | \(0.216506\pi\) | |||||||
\(578\) | −10.0250 | + | 17.3638i | −0.416985 | + | 0.722239i | ||||
\(579\) | −30.0348 | + | 13.3724i | −1.24820 | + | 0.555736i | ||||
\(580\) | 30.0438 | − | 13.3764i | 1.24750 | − | 0.555424i | ||||
\(581\) | 1.12250 | − | 1.94422i | 0.0465689 | − | 0.0806598i | ||||
\(582\) | 26.9468 | − | 19.5780i | 1.11698 | − | 0.811533i | ||||
\(583\) | 2.44063 | + | 7.51150i | 0.101081 | + | 0.311095i | ||||
\(584\) | 0.139703 | + | 1.32918i | 0.00578094 | + | 0.0550020i | ||||
\(585\) | 8.41615 | − | 3.74711i | 0.347965 | − | 0.154924i | ||||
\(586\) | −41.7850 | − | 30.3586i | −1.72612 | − | 1.25410i | ||||
\(587\) | 1.67483 | − | 5.15460i | 0.0691277 | − | 0.212753i | −0.910525 | − | 0.413455i | \(-0.864322\pi\) |
0.979652 | + | 0.200701i | \(0.0643221\pi\) | |||||||
\(588\) | 39.2961 | + | 17.4957i | 1.62054 | + | 0.721512i | ||||
\(589\) | 1.13050 | + | 1.95808i | 0.0465814 | + | 0.0806814i | ||||
\(590\) | −2.93877 | − | 2.13514i | −0.120987 | − | 0.0879022i | ||||
\(591\) | 1.79427 | + | 17.0713i | 0.0738064 | + | 0.702221i | ||||
\(592\) | 2.10204 | − | 2.33456i | 0.0863935 | − | 0.0959497i | ||||
\(593\) | −7.77882 | − | 8.63926i | −0.319438 | − | 0.354772i | 0.561945 | − | 0.827175i | \(-0.310053\pi\) |
−0.881383 | + | 0.472403i | \(0.843387\pi\) | |||||||
\(594\) | −0.804022 | + | 7.64976i | −0.0329894 | + | 0.313873i | ||||
\(595\) | −1.24528 | + | 1.38302i | −0.0510514 | + | 0.0566984i | ||||
\(596\) | 24.9010 | − | 43.1298i | 1.01998 | − | 1.76666i | ||||
\(597\) | −17.4454 | − | 30.2164i | −0.713994 | − | 1.23667i | ||||
\(598\) | −55.7878 | − | 11.8581i | −2.28133 | − | 0.484912i | ||||
\(599\) | −1.36366 | −0.0557175 | −0.0278587 | − | 0.999612i | \(-0.508869\pi\) | ||||
−0.0278587 | + | 0.999612i | \(0.508869\pi\) | |||||||
\(600\) | −1.51297 | − | 0.321592i | −0.0617669 | − | 0.0131290i | ||||
\(601\) | −9.00460 | + | 27.7133i | −0.367305 | + | 1.13045i | 0.581220 | + | 0.813747i | \(0.302576\pi\) |
−0.948525 | + | 0.316703i | \(0.897424\pi\) | |||||||
\(602\) | −0.0691705 | − | 0.212885i | −0.00281918 | − | 0.00867654i | ||||
\(603\) | −0.373251 | + | 3.55124i | −0.0151999 | + | 0.144618i | ||||
\(604\) | 17.0189 | − | 3.61748i | 0.692490 | − | 0.147193i | ||||
\(605\) | −2.26004 | + | 0.480387i | −0.0918838 | + | 0.0195305i | ||||
\(606\) | −16.0989 | − | 17.8796i | −0.653972 | − | 0.726309i | ||||
\(607\) | −20.5636 | + | 14.9404i | −0.834652 | + | 0.606410i | −0.920872 | − | 0.389866i | \(-0.872521\pi\) |
0.0862194 | + | 0.996276i | \(0.472521\pi\) | |||||||
\(608\) | 3.57650 | + | 1.59236i | 0.145046 | + | 0.0645787i | ||||
\(609\) | −2.83128 | −0.114729 | ||||||||
\(610\) | −19.9184 | + | 35.0082i | −0.806472 | + | 1.41744i | ||||
\(611\) | 31.9455 | 1.29238 | ||||||||
\(612\) | −10.3899 | − | 4.62587i | −0.419986 | − | 0.186990i | ||||
\(613\) | −6.09868 | + | 4.43095i | −0.246323 | + | 0.178964i | −0.704096 | − | 0.710105i | \(-0.748647\pi\) |
0.457772 | + | 0.889069i | \(0.348647\pi\) | |||||||
\(614\) | −41.9493 | − | 46.5894i | −1.69293 | − | 1.88019i | ||||
\(615\) | 39.2082 | − | 8.33397i | 1.58103 | − | 0.336058i | ||||
\(616\) | −0.609722 | + | 0.129600i | −0.0245664 | + | 0.00522175i | ||||
\(617\) | 2.29778 | − | 21.8620i | 0.0925053 | − | 0.880129i | −0.845609 | − | 0.533803i | \(-0.820762\pi\) |
0.938114 | − | 0.346326i | \(-0.112571\pi\) | |||||||
\(618\) | −13.3275 | − | 41.0180i | −0.536112 | − | 1.64998i | ||||
\(619\) | −5.62369 | + | 17.3079i | −0.226035 | + | 0.695665i | 0.772150 | + | 0.635441i | \(0.219182\pi\) |
−0.998185 | + | 0.0602240i | \(0.980818\pi\) | |||||||
\(620\) | 26.3741 | + | 5.60598i | 1.05921 | + | 0.225142i | ||||
\(621\) | −29.7523 | −1.19392 | ||||||||
\(622\) | −5.27125 | − | 1.12044i | −0.211358 | − | 0.0449255i | ||||
\(623\) | −0.593014 | − | 1.02713i | −0.0237586 | − | 0.0411511i | ||||
\(624\) | −3.30988 | + | 5.73288i | −0.132501 | + | 0.229499i | ||||
\(625\) | −17.7843 | + | 19.7514i | −0.711371 | + | 0.790058i | ||||
\(626\) | −6.09274 | + | 57.9685i | −0.243515 | + | 2.31689i | ||||
\(627\) | 0.805975 | + | 0.895125i | 0.0321875 | + | 0.0357479i | ||||
\(628\) | −23.0173 | + | 25.5633i | −0.918491 | + | 1.02009i | ||||
\(629\) | −0.866752 | − | 8.24660i | −0.0345597 | − | 0.328813i | ||||
\(630\) | 1.59884 | + | 1.16162i | 0.0636992 | + | 0.0462802i | ||||
\(631\) | 4.33201 | + | 7.50326i | 0.172455 | + | 0.298700i | 0.939277 | − | 0.343159i | \(-0.111497\pi\) |
−0.766823 | + | 0.641859i | \(0.778164\pi\) | |||||||
\(632\) | −12.0382 | − | 5.35974i | −0.478853 | − | 0.213199i | ||||
\(633\) | −1.24188 | + | 3.82210i | −0.0493602 | + | 0.151915i | ||||
\(634\) | 14.2916 | + | 10.3835i | 0.567592 | + | 0.412380i | ||||
\(635\) | 36.1486 | − | 16.0944i | 1.43452 | − | 0.638687i | ||||
\(636\) | −5.13246 | − | 48.8321i | −0.203515 | − | 1.93632i | ||||
\(637\) | −6.32844 | − | 19.4769i | −0.250742 | − | 0.771704i | ||||
\(638\) | −8.61968 | + | 6.26256i | −0.341256 | + | 0.247937i | ||||
\(639\) | 3.87846 | − | 6.71770i | 0.153430 | − | 0.265748i | ||||
\(640\) | 32.5438 | − | 14.4894i | 1.28641 | − | 0.572745i | ||||
\(641\) | 25.0649 | − | 11.1596i | 0.990005 | − | 0.440779i | 0.153150 | − | 0.988203i | \(-0.451058\pi\) |
0.836855 | + | 0.547425i | \(0.184392\pi\) | |||||||
\(642\) | −14.1824 | + | 24.5646i | −0.559734 | + | 0.969487i | ||||
\(643\) | 9.40162 | − | 6.83068i | 0.370764 | − | 0.269376i | −0.386764 | − | 0.922179i | \(-0.626407\pi\) |
0.757528 | + | 0.652803i | \(0.226407\pi\) | |||||||
\(644\) | −2.26292 | − | 6.96456i | −0.0891716 | − | 0.274442i | ||||
\(645\) | 0.177524 | + | 1.68903i | 0.00698999 | + | 0.0665053i | ||||
\(646\) | 3.33530 | − | 1.48497i | 0.131226 | − | 0.0584255i | ||||
\(647\) | 35.7733 | + | 25.9908i | 1.40639 | + | 1.02181i | 0.993834 | + | 0.110875i | \(0.0353655\pi\) |
0.412561 | + | 0.910930i | \(0.364635\pi\) | |||||||
\(648\) | 7.60187 | − | 23.3961i | 0.298630 | − | 0.919087i | ||||
\(649\) | 0.643479 | + | 0.286495i | 0.0252588 | + | 0.0112459i | ||||
\(650\) | 1.11831 | + | 1.93698i | 0.0438639 | + | 0.0759745i | ||||
\(651\) | −1.87797 | − | 1.36442i | −0.0736033 | − | 0.0534759i | ||||
\(652\) | −6.90252 | − | 65.6731i | −0.270324 | − | 2.57196i | ||||
\(653\) | −31.9976 | + | 35.5369i | −1.25216 | + | 1.39067i | −0.363829 | + | 0.931466i | \(0.618531\pi\) |
−0.888333 | + | 0.459200i | \(0.848136\pi\) | |||||||
\(654\) | 46.8789 | + | 52.0643i | 1.83311 | + | 2.03587i | ||||
\(655\) | −2.48657 | + | 23.6581i | −0.0971584 | + | 0.924400i | ||||
\(656\) | −5.97236 | + | 6.63298i | −0.233182 | + | 0.258974i | ||||
\(657\) | −0.410825 | + | 0.711570i | −0.0160278 | + | 0.0277610i | ||||
\(658\) | 3.42644 | + | 5.93477i | 0.133577 | + | 0.231361i | ||||
\(659\) | 0.685425 | + | 0.145692i | 0.0267004 | + | 0.00567534i | 0.221243 | − | 0.975219i | \(-0.428989\pi\) |
−0.194542 | + | 0.980894i | \(0.562322\pi\) | |||||||
\(660\) | 14.3643 | 0.559128 | ||||||||
\(661\) | −31.1091 | − | 6.61243i | −1.21000 | − | 0.257194i | −0.441630 | − | 0.897197i | \(-0.645600\pi\) |
−0.768372 | + | 0.640003i | \(0.778933\pi\) | |||||||
\(662\) | 13.6018 | − | 41.8620i | 0.528649 | − | 1.62701i | ||||
\(663\) | 5.39950 | + | 16.6180i | 0.209699 | + | 0.645388i | ||||
\(664\) | −1.80759 | + | 17.1980i | −0.0701479 | + | 0.667413i | ||||
\(665\) | −0.371420 | + | 0.0789477i | −0.0144030 | + | 0.00306146i | ||||
\(666\) | −8.61303 | + | 1.83076i | −0.333748 | + | 0.0709404i | ||||
\(667\) | −27.5760 | − | 30.6263i | −1.06775 | − | 1.18585i | ||||
\(668\) | −19.1680 | + | 13.9263i | −0.741631 | + | 0.538826i | ||||
\(669\) | −22.3834 | − | 9.96572i | −0.865391 | − | 0.385297i | ||||
\(670\) | −13.6698 | −0.528112 | ||||||||
\(671\) | 2.36656 | − | 7.44308i | 0.0913600 | − | 0.287337i | ||||
\(672\) | −4.01937 | −0.155050 | ||||||||
\(673\) | 1.67152 | + | 0.744211i | 0.0644325 | + | 0.0286872i | 0.438700 | − | 0.898634i | \(-0.355439\pi\) |
−0.374267 | + | 0.927321i | \(0.622106\pi\) | |||||||
\(674\) | 48.1281 | − | 34.9671i | 1.85383 | − | 1.34688i | ||||
\(675\) | 0.780713 | + | 0.867069i | 0.0300496 | + | 0.0333735i | ||||
\(676\) | 12.3647 | − | 2.62820i | 0.475565 | − | 0.101084i | ||||
\(677\) | 21.3902 | − | 4.54662i | 0.822092 | − | 0.174741i | 0.222383 | − | 0.974959i | \(-0.428616\pi\) |
0.599709 | + | 0.800218i | \(0.295283\pi\) | |||||||
\(678\) | 3.78216 | − | 35.9848i | 0.145253 | − | 1.38199i | ||||
\(679\) | −0.629186 | − | 1.93643i | −0.0241459 | − | 0.0743135i | ||||
\(680\) | 4.42984 | − | 13.6336i | 0.169877 | − | 0.522826i | ||||
\(681\) | −11.8533 | − | 2.51951i | −0.454221 | − | 0.0965477i | ||||
\(682\) | −8.73537 | −0.334494 | ||||||||
\(683\) | 9.06719 | + | 1.92729i | 0.346947 | + | 0.0737458i | 0.378089 | − | 0.925769i | \(-0.376581\pi\) |
−0.0311426 | + | 0.999515i | \(0.509915\pi\) | |||||||
\(684\) | −1.16026 | − | 2.00963i | −0.0443637 | − | 0.0768401i | ||||
\(685\) | −8.23838 | + | 14.2693i | −0.314772 | + | 0.545201i | ||||
\(686\) | 5.91358 | − | 6.56770i | 0.225782 | − | 0.250756i | ||||
\(687\) | −4.05659 | + | 38.5959i | −0.154769 | + | 1.47253i | ||||
\(688\) | −0.253044 | − | 0.281033i | −0.00964720 | − | 0.0107143i | ||||
\(689\) | −15.6422 | + | 17.3724i | −0.595920 | + | 0.661836i | ||||
\(690\) | 9.70323 | + | 92.3201i | 0.369396 | + | 3.51456i | ||||
\(691\) | 27.3672 | + | 19.8834i | 1.04110 | + | 0.756402i | 0.970499 | − | 0.241103i | \(-0.0775092\pi\) |
0.0705980 | + | 0.997505i | \(0.477509\pi\) | |||||||
\(692\) | −10.2932 | − | 17.8283i | −0.391288 | − | 0.677731i | ||||
\(693\) | −0.350086 | − | 0.155868i | −0.0132987 | − | 0.00592094i | ||||
\(694\) | −17.0608 | + | 52.5077i | −0.647619 | + | 1.99317i | ||||
\(695\) | −15.5280 | − | 11.2818i | −0.589011 | − | 0.427942i | ||||
\(696\) | 19.9233 | − | 8.87045i | 0.755193 | − | 0.336233i | ||||
\(697\) | 2.46263 | + | 23.4304i | 0.0932788 | + | 0.887488i | ||||
\(698\) | 8.42599 | + | 25.9325i | 0.318928 | + | 0.981561i | ||||
\(699\) | 11.6156 | − | 8.43924i | 0.439343 | − | 0.319201i | ||||
\(700\) | −0.143587 | + | 0.248701i | −0.00542710 | + | 0.00940001i | ||||
\(701\) | −14.5416 | + | 6.47433i | −0.549228 | + | 0.244532i | −0.662539 | − | 0.749027i | \(-0.730521\pi\) |
0.113311 | + | 0.993560i | \(0.463854\pi\) | |||||||
\(702\) | −20.7984 | + | 9.26004i | −0.784984 | + | 0.349498i | ||||
\(703\) | 0.845932 | − | 1.46520i | 0.0319049 | − | 0.0552610i | ||||
\(704\) | −10.5011 | + | 7.62950i | −0.395775 | + | 0.287548i | ||||
\(705\) | −16.0672 | − | 49.4496i | −0.605124 | − | 1.86238i | ||||
\(706\) | 7.45913 | + | 70.9689i | 0.280728 | + | 2.67095i | ||||
\(707\) | −1.34357 | + | 0.598198i | −0.0505303 | + | 0.0224976i | ||||
\(708\) | −3.54269 | − | 2.57391i | −0.133142 | − | 0.0967336i | ||||
\(709\) | −2.14450 | + | 6.60011i | −0.0805386 | + | 0.247872i | −0.983216 | − | 0.182446i | \(-0.941599\pi\) |
0.902677 | + | 0.430318i | \(0.141599\pi\) | |||||||
\(710\) | 27.1280 | + | 12.0782i | 1.01809 | + | 0.453285i | ||||
\(711\) | −4.05058 | − | 7.01581i | −0.151909 | − | 0.263114i | ||||
\(712\) | 7.39099 | + | 5.36987i | 0.276989 | + | 0.201244i | ||||
\(713\) | −3.53186 | − | 33.6034i | −0.132269 | − | 1.25846i | ||||
\(714\) | −2.50810 | + | 2.78553i | −0.0938634 | + | 0.104246i | ||||
\(715\) | −4.57603 | − | 5.08220i | −0.171134 | − | 0.190063i | ||||
\(716\) | 4.87397 | − | 46.3727i | 0.182149 | − | 1.73303i | ||||
\(717\) | −11.8016 | + | 13.1070i | −0.440740 | + | 0.489492i | ||||
\(718\) | −7.08142 | + | 12.2654i | −0.264276 | + | 0.457740i | ||||
\(719\) | 17.5389 | + | 30.3783i | 0.654092 | + | 1.13292i | 0.982121 | + | 0.188253i | \(0.0602824\pi\) |
−0.328029 | + | 0.944668i | \(0.606384\pi\) | |||||||
\(720\) | 3.26586 | + | 0.694179i | 0.121711 | + | 0.0258705i | ||||
\(721\) | −2.63642 | −0.0981855 | ||||||||
\(722\) | −40.7523 | − | 8.66217i | −1.51664 | − | 0.322373i | ||||
\(723\) | −8.44772 | + | 25.9994i | −0.314174 | + | 0.966929i | ||||
\(724\) | 17.9594 | + | 55.2733i | 0.667455 | + | 2.05422i | ||||
\(725\) | −0.168933 | + | 1.60729i | −0.00627402 | + | 0.0596933i | ||||
\(726\) | −4.55193 | + | 0.967543i | −0.168938 | + | 0.0359089i | ||||
\(727\) | 35.5193 | − | 7.54986i | 1.31734 | − | 0.280009i | 0.504961 | − | 0.863142i | \(-0.331507\pi\) |
0.812376 | + | 0.583134i | \(0.198174\pi\) | |||||||
\(728\) | −1.23454 | − | 1.37109i | −0.0457550 | − | 0.0508161i | ||||
\(729\) | −5.20380 | + | 3.78078i | −0.192733 | + | 0.140029i | ||||
\(730\) | −2.87352 | − | 1.27937i | −0.106354 | − | 0.0473518i | ||||
\(731\) | −0.998192 | −0.0369194 | ||||||||
\(732\) | −24.0117 | + | 42.2025i | −0.887497 | + | 1.55985i | ||||
\(733\) | 38.9534 | 1.43878 | 0.719389 | − | 0.694607i | \(-0.244422\pi\) | ||||
0.719389 | + | 0.694607i | \(0.244422\pi\) | |||||||
\(734\) | 3.75533 | + | 1.67198i | 0.138612 | + | 0.0617139i | ||||
\(735\) | −26.9661 | + | 19.5920i | −0.994660 | + | 0.722663i | ||||
\(736\) | −39.1478 | − | 43.4780i | −1.44301 | − | 1.60262i | ||||
\(737\) | 2.59278 | − | 0.551112i | 0.0955062 | − | 0.0203005i | ||||
\(738\) | 24.4715 | − | 5.20158i | 0.900808 | − | 0.191473i | ||||
\(739\) | 0.658041 | − | 6.26084i | 0.0242064 | − | 0.230309i | −0.975729 | − | 0.218980i | \(-0.929727\pi\) |
0.999936 | − | 0.0113290i | \(-0.00360622\pi\) | |||||||
\(740\) | −6.23477 | − | 19.1887i | −0.229195 | − | 0.705389i | ||||
\(741\) | −1.10169 | + | 3.39065i | −0.0404715 | + | 0.124559i | ||||
\(742\) | −4.90517 | − | 1.04263i | −0.180075 | − | 0.0382760i | ||||
\(743\) | −17.1379 | −0.628727 | −0.314364 | − | 0.949303i | \(-0.601791\pi\) | ||||
−0.314364 | + | 0.949303i | \(0.601791\pi\) | |||||||
\(744\) | 17.4898 | + | 3.71757i | 0.641206 | + | 0.136293i | ||||
\(745\) | 19.2956 | + | 33.4210i | 0.706936 | + | 1.22445i | ||||
\(746\) | −22.7443 | + | 39.3942i | −0.832727 | + | 1.44232i | ||||
\(747\) | −7.11364 | + | 7.90050i | −0.260274 | + | 0.289064i | ||||
\(748\) | −0.882489 | + | 8.39633i | −0.0322670 | + | 0.307000i | ||||
\(749\) | 1.16021 | + | 1.28855i | 0.0423932 | + | 0.0470824i | ||||
\(750\) | −33.5378 | + | 37.2475i | −1.22463 | + | 1.36009i | ||||
\(751\) | −2.63951 | − | 25.1133i | −0.0963173 | − | 0.916397i | −0.930841 | − | 0.365425i | \(-0.880924\pi\) |
0.834523 | − | 0.550972i | \(-0.185743\pi\) | |||||||
\(752\) | 9.36648 | + | 6.80515i | 0.341561 | + | 0.248158i | ||||
\(753\) | 23.1240 | + | 40.0520i | 0.842687 | + | 1.45958i | ||||
\(754\) | −28.8091 | − | 12.8266i | −1.04917 | − | 0.467118i | ||||
\(755\) | −4.16631 | + | 12.8226i | −0.151628 | + | 0.466662i | ||||
\(756\) | −2.36488 | − | 1.71819i | −0.0860099 | − | 0.0624899i | ||||
\(757\) | 31.1640 | − | 13.8751i | 1.13267 | − | 0.504299i | 0.247189 | − | 0.968967i | \(-0.420493\pi\) |
0.885485 | + | 0.464668i | \(0.153826\pi\) | |||||||
\(758\) | 4.49455 | + | 42.7628i | 0.163249 | + | 1.55321i | ||||
\(759\) | −5.56239 | − | 17.1193i | −0.201902 | − | 0.621390i | ||||
\(760\) | 2.36629 | − | 1.71921i | 0.0858344 | − | 0.0623624i | ||||
\(761\) | 5.94456 | − | 10.2963i | 0.215490 | − | 0.373240i | −0.737934 | − | 0.674873i | \(-0.764198\pi\) |
0.953424 | + | 0.301633i | \(0.0975317\pi\) | |||||||
\(762\) | 72.8067 | − | 32.4156i | 2.63751 | − | 1.17429i | ||||
\(763\) | 3.91241 | − | 1.74192i | 0.141639 | − | 0.0630616i | ||||
\(764\) | 13.3603 | − | 23.1408i | 0.483359 | − | 0.837203i | ||||
\(765\) | 7.12984 | − | 5.18013i | 0.257780 | − | 0.187288i | ||||
\(766\) | −16.8805 | − | 51.9528i | −0.609916 | − | 1.87713i | ||||
\(767\) | 0.217924 | + | 2.07341i | 0.00786878 | + | 0.0748664i | ||||
\(768\) | 16.0993 | − | 7.16789i | 0.580935 | − | 0.258649i | ||||
\(769\) | −19.7152 | − | 14.3240i | −0.710950 | − | 0.516535i | 0.172530 | − | 0.985004i | \(-0.444806\pi\) |
−0.883480 | + | 0.468469i | \(0.844806\pi\) | |||||||
\(770\) | 0.453340 | − | 1.39524i | 0.0163372 | − | 0.0502808i | ||||
\(771\) | −26.9845 | − | 12.0143i | −0.971823 | − | 0.432683i | ||||
\(772\) | −23.5090 | − | 40.7188i | −0.846108 | − | 1.46550i | ||||
\(773\) | 13.1226 | + | 9.53414i | 0.471988 | + | 0.342919i | 0.798216 | − | 0.602372i | \(-0.205778\pi\) |
−0.326228 | + | 0.945291i | \(0.605778\pi\) | |||||||
\(774\) | 0.110800 | + | 1.05419i | 0.00398262 | + | 0.0378921i | ||||
\(775\) | −0.886623 | + | 0.984694i | −0.0318484 | + | 0.0353713i | ||||
\(776\) | 10.4944 | + | 11.6552i | 0.376727 | + | 0.418398i | ||||
\(777\) | −0.181564 | + | 1.72747i | −0.00651357 | + | 0.0619725i | ||||
\(778\) | 8.46942 | − | 9.40625i | 0.303644 | − | 0.337230i | ||||
\(779\) | −2.40348 | + | 4.16294i | −0.0861135 | + | 0.149153i | ||||
\(780\) | 21.2578 | + | 36.8196i | 0.761153 | + | 1.31835i | ||||
\(781\) | −5.63234 | − | 1.19719i | −0.201541 | − | 0.0428389i | ||||
\(782\) | −54.5599 | −1.95106 | ||||||||
\(783\) | −16.0913 | − | 3.42030i | −0.575055 | − | 0.122232i | ||||
\(784\) | 2.29354 | − | 7.05878i | 0.0819120 | − | 0.252099i | ||||
\(785\) | −8.23698 | − | 25.3508i | −0.293990 | − | 0.904809i | ||||
\(786\) | −5.00818 | + | 47.6497i | −0.178636 | + | 1.69961i | ||||
\(787\) | −28.6746 | + | 6.09498i | −1.02214 | + | 0.217263i | −0.688346 | − | 0.725383i | \(-0.741663\pi\) |
−0.333795 | + | 0.942646i | \(0.608329\pi\) | |||||||
\(788\) | −24.0119 | + | 5.10390i | −0.855390 | + | 0.181819i | ||||
\(789\) | 1.45710 | + | 1.61827i | 0.0518741 | + | 0.0576120i | ||||
\(790\) | 25.0901 | − | 18.2290i | 0.892666 | − | 0.648560i | ||||
\(791\) | −2.02061 | − | 0.899634i | −0.0718447 | − | 0.0319873i | ||||
\(792\) | 2.95185 | 0.104889 | ||||||||
\(793\) | 22.5810 | − | 4.94894i | 0.801875 | − | 0.175742i | ||||
\(794\) | 73.9644 | 2.62490 | ||||||||
\(795\) | 34.7587 | + | 15.4756i | 1.23276 | + | 0.548862i | ||||
\(796\) | 40.3681 | − | 29.3292i | 1.43081 | − | 1.03955i | ||||
\(797\) | 36.5557 | + | 40.5993i | 1.29487 | + | 1.43810i | 0.835136 | + | 0.550043i | \(0.185389\pi\) |
0.459735 | + | 0.888056i | \(0.347945\pi\) | |||||||
\(798\) | −0.748073 | + | 0.159008i | −0.0264815 | + | 0.00562882i | ||||
\(799\) | 29.8918 | − | 6.35371i | 1.05750 | − | 0.224778i | ||||
\(800\) | −0.239823 | + | 2.28176i | −0.00847901 | + | 0.0806724i | ||||
\(801\) | 1.73558 | + | 5.34156i | 0.0613236 | + | 0.188735i | ||||
\(802\) | −6.43170 | + | 19.7947i | −0.227111 | + | 0.698976i | ||||
\(803\) | 0.596604 | + | 0.126812i | 0.0210537 | + | 0.00447510i | ||||
\(804\) | −16.4790 | −0.581171 | ||||||||
\(805\) | 5.55052 | + | 1.17980i | 0.195630 | + | 0.0415824i | ||||
\(806\) | −12.9276 | − | 22.3912i | −0.455354 | − | 0.788697i | ||||
\(807\) | 14.1188 | − | 24.4544i | 0.497004 | − | 0.860836i | ||||
\(808\) | 7.58041 | − | 8.41890i | 0.266678 | − | 0.296176i | ||||
\(809\) | 2.57044 | − | 24.4561i | 0.0903720 | − | 0.859832i | −0.851612 | − | 0.524173i | \(-0.824374\pi\) |
0.941984 | − | 0.335659i | \(-0.108959\pi\) | |||||||
\(810\) | 38.7403 | + | 43.0255i | 1.36120 | + | 1.51176i | ||||
\(811\) | 34.8465 | − | 38.7009i | 1.22363 | − | 1.35897i | 0.310878 | − | 0.950450i | \(-0.399377\pi\) |
0.912747 | − | 0.408524i | \(-0.133956\pi\) | |||||||
\(812\) | −0.423240 | − | 4.02686i | −0.0148528 | − | 0.141315i | ||||
\(813\) | 13.6158 | + | 9.89243i | 0.477526 | + | 0.346943i | ||||
\(814\) | 3.26826 | + | 5.66079i | 0.114552 | + | 0.198411i | ||||
\(815\) | 46.7461 | + | 20.8127i | 1.63744 | + | 0.729037i | ||||
\(816\) | −1.95687 | + | 6.02264i | −0.0685043 | + | 0.210835i | ||||
\(817\) | −0.164769 | − | 0.119712i | −0.00576455 | − | 0.00418819i | ||||
\(818\) | 56.6982 | − | 25.2436i | 1.98240 | − | 0.882623i | ||||
\(819\) | −0.118562 | − | 1.12804i | −0.00414288 | − | 0.0394169i | ||||
\(820\) | 17.7143 | + | 54.5191i | 0.618611 | + | 1.90389i | ||||
\(821\) | 13.1242 | − | 9.53532i | 0.458039 | − | 0.332785i | −0.334722 | − | 0.942317i | \(-0.608642\pi\) |
0.792762 | + | 0.609532i | \(0.208642\pi\) | |||||||
\(822\) | −16.5928 | + | 28.7396i | −0.578742 | + | 1.00241i | ||||
\(823\) | −14.7172 | + | 6.55252i | −0.513009 | + | 0.228407i | −0.646879 | − | 0.762592i | \(-0.723926\pi\) |
0.133870 | + | 0.990999i | \(0.457260\pi\) | |||||||
\(824\) | 18.5522 | − | 8.25997i | 0.646296 | − | 0.287750i | ||||
\(825\) | −0.352946 | + | 0.611320i | −0.0122880 | + | 0.0212834i | ||||
\(826\) | −0.361819 | + | 0.262877i | −0.0125893 | + | 0.00914666i | ||||
\(827\) | 10.6838 | + | 32.8813i | 0.371512 | + | 1.14340i | 0.945802 | + | 0.324744i | \(0.105278\pi\) |
−0.574290 | + | 0.818652i | \(0.694722\pi\) | |||||||
\(828\) | 3.62484 | + | 34.4880i | 0.125972 | + | 1.19854i | ||||
\(829\) | 7.86029 | − | 3.49963i | 0.272999 | − | 0.121547i | −0.265671 | − | 0.964064i | \(-0.585594\pi\) |
0.538670 | + | 0.842517i | \(0.318927\pi\) | |||||||
\(830\) | −32.9258 | − | 23.9220i | −1.14287 | − | 0.830344i | ||||
\(831\) | −1.82381 | + | 5.61312i | −0.0632674 | + | 0.194717i | ||||
\(832\) | −35.0973 | − | 15.6263i | −1.21678 | − | 0.541745i | ||||
\(833\) | −9.79541 | − | 16.9662i | −0.339391 | − | 0.587842i | ||||
\(834\) | −31.2749 | − | 22.7225i | −1.08296 | − | 0.786816i | ||||
\(835\) | −1.91909 | − | 18.2589i | −0.0664127 | − | 0.631875i | ||||
\(836\) | −1.15263 | + | 1.28013i | −0.0398646 | + | 0.0442742i | ||||
\(837\) | −9.02494 | − | 10.0232i | −0.311947 | − | 0.346453i | ||||
\(838\) | 6.29117 | − | 59.8564i | 0.217325 | − | 2.06771i | ||||
\(839\) | −4.57842 | + | 5.08485i | −0.158065 | + | 0.175549i | −0.816975 | − | 0.576673i | \(-0.804351\pi\) |
0.658911 | + | 0.752221i | \(0.271018\pi\) | |||||||
\(840\) | −1.50145 | + | 2.60058i | −0.0518049 | + | 0.0897287i | ||||
\(841\) | 3.10654 | + | 5.38069i | 0.107122 | + | 0.185541i | ||||
\(842\) | 11.8587 | + | 2.52064i | 0.408678 | + | 0.0868671i | ||||
\(843\) | 38.5665 | 1.32830 | ||||||||
\(844\) | −5.62173 | − | 1.19494i | −0.193508 | − | 0.0411314i | ||||
\(845\) | −3.02693 | + | 9.31594i | −0.104130 | + | 0.320478i | ||||
\(846\) | −10.0282 | − | 30.8636i | −0.344776 | − | 1.06111i | ||||
\(847\) | −0.0297354 | + | 0.282913i | −0.00102172 | + | 0.00972101i | ||||
\(848\) | −8.28705 | + | 1.76147i | −0.284579 | + | 0.0604890i | ||||
\(849\) | 42.8618 | − | 9.11056i | 1.47101 | − | 0.312673i | ||||
\(850\) | 1.43167 | + | 1.59003i | 0.0491060 | + | 0.0545377i | ||||
\(851\) | −20.4546 | + | 14.8612i | −0.701176 | + | 0.509434i | ||||
\(852\) | 32.7028 | + | 14.5602i | 1.12038 | + | 0.498826i | ||||
\(853\) | −45.2021 | −1.54769 | −0.773846 | − | 0.633374i | \(-0.781669\pi\) | ||||
−0.773846 | + | 0.633374i | \(0.781669\pi\) | |||||||
\(854\) | 3.34142 | + | 3.66424i | 0.114341 | + | 0.125388i | ||||
\(855\) | 1.79816 | 0.0614956 | ||||||||
\(856\) | −12.2013 | − | 5.43237i | −0.417032 | − | 0.185675i | ||||
\(857\) | −39.9854 | + | 29.0511i | −1.36587 | + | 0.992366i | −0.367828 | + | 0.929894i | \(0.619899\pi\) |
−0.998047 | + | 0.0624724i | \(0.980101\pi\) | |||||||
\(858\) | −9.21655 | − | 10.2360i | −0.314648 | − | 0.349452i | ||||
\(859\) | 46.6817 | − | 9.92250i | 1.59276 | − | 0.338551i | 0.675660 | − | 0.737213i | \(-0.263859\pi\) |
0.917098 | + | 0.398662i | \(0.130525\pi\) | |||||||
\(860\) | −2.37572 | + | 0.504976i | −0.0810115 | + | 0.0172195i | ||||
\(861\) | 0.515863 | − | 4.90811i | 0.0175806 | − | 0.167268i | ||||
\(862\) | −20.5283 | − | 63.1795i | −0.699196 | − | 2.15190i | ||||
\(863\) | 7.84386 | − | 24.1409i | 0.267008 | − | 0.821767i | −0.724216 | − | 0.689573i | \(-0.757798\pi\) |
0.991224 | − | 0.132193i | \(-0.0422019\pi\) | |||||||
\(864\) | −22.8436 | − | 4.85557i | −0.777156 | − | 0.165190i | ||||
\(865\) | 15.9522 | 0.542393 | ||||||||
\(866\) | −12.2019 | − | 2.59359i | −0.414637 | − | 0.0881337i | ||||
\(867\) | −9.36471 | − | 16.2202i | −0.318042 | − | 0.550865i | ||||
\(868\) | 1.65985 | − | 2.87495i | 0.0563391 | − | 0.0975821i | ||||
\(869\) | −4.02395 | + | 4.46905i | −0.136503 | + | 0.151602i | ||||
\(870\) | −5.36514 | + | 51.0459i | −0.181895 | + | 1.73062i | ||||
\(871\) | 5.24974 | + | 5.83043i | 0.177881 | + | 0.197556i | ||||
\(872\) | −22.0737 | + | 24.5153i | −0.747509 | + | 0.830193i | ||||
\(873\) | 1.00785 | + | 9.58909i | 0.0341107 | + | 0.324542i | ||||
\(874\) | −9.00609 | − | 6.54331i | −0.304636 | − | 0.221331i | ||||
\(875\) | 1.53194 | + | 2.65339i | 0.0517889 | + | 0.0897010i | ||||
\(876\) | −3.46404 | − | 1.54229i | −0.117039 | − | 0.0521091i | ||||
\(877\) | −14.7699 | + | 45.4572i | −0.498746 | + | 1.53498i | 0.312291 | + | 0.949986i | \(0.398904\pi\) |
−0.811037 | + | 0.584995i | \(0.801096\pi\) | |||||||
\(878\) | −56.6397 | − | 41.1511i | −1.91150 | − | 1.38878i | ||||
\(879\) | 44.0761 | − | 19.6239i | 1.48665 | − | 0.661899i | ||||
\(880\) | −0.259073 | − | 2.46491i | −0.00873335 | − | 0.0830922i | ||||
\(881\) | −14.8455 | − | 45.6898i | −0.500159 | − | 1.53933i | −0.808760 | − | 0.588139i | \(-0.799861\pi\) |
0.308602 | − | 0.951191i | \(-0.400139\pi\) | |||||||
\(882\) | −16.8307 | + | 12.2282i | −0.566719 | + | 0.411745i | ||||
\(883\) | 3.89326 | − | 6.74332i | 0.131018 | − | 0.226931i | −0.793051 | − | 0.609155i | \(-0.791509\pi\) |
0.924069 | + | 0.382225i | \(0.124842\pi\) | |||||||
\(884\) | −22.8282 | + | 10.1638i | −0.767794 | + | 0.341844i | ||||
\(885\) | 3.09990 | − | 1.38016i | 0.104202 | − | 0.0463937i | ||||
\(886\) | −39.2980 | + | 68.0661i | −1.32024 | + | 2.28673i | ||||
\(887\) | −26.4741 | + | 19.2346i | −0.888914 | + | 0.645834i | −0.935595 | − | 0.353076i | \(-0.885136\pi\) |
0.0466804 | + | 0.998910i | \(0.485136\pi\) | |||||||
\(888\) | −4.13454 | − | 12.7248i | −0.138746 | − | 0.427017i | ||||
\(889\) | −0.509241 | − | 4.84510i | −0.0170794 | − | 0.162499i | ||||
\(890\) | −19.6422 | + | 8.74525i | −0.658407 | + | 0.293142i | ||||
\(891\) | −9.08253 | − | 6.59885i | −0.304276 | − | 0.221070i | ||||
\(892\) | 10.8280 | − | 33.3251i | 0.362548 | − | 1.11581i | ||||
\(893\) | 5.69618 | + | 2.53610i | 0.190615 | + | 0.0848674i | ||||
\(894\) | 38.8631 | + | 67.3129i | 1.29978 | + | 2.25128i | ||||
\(895\) | 29.2313 | + | 21.2377i | 0.977093 | + | 0.709900i | ||||
\(896\) | −0.458457 | − | 4.36193i | −0.0153160 | − | 0.145722i | ||||
\(897\) | 35.6497 | − | 39.5930i | 1.19031 | − | 1.32197i | ||||
\(898\) | 3.60919 | + | 4.00841i | 0.120440 | + | 0.133762i | ||||
\(899\) | 1.95285 | − | 18.5801i | 0.0651310 | − | 0.619680i | ||||
\(900\) | 0.909963 | − | 1.01062i | 0.0303321 | − | 0.0336872i | ||||
\(901\) | −11.1814 | + | 19.3667i | −0.372505 | + | 0.645198i | ||||
\(902\) | −9.28583 | − | 16.0835i | −0.309184 | − | 0.535523i | ||||
\(903\) | 0.204528 | + | 0.0434738i | 0.00680627 | + | 0.00144672i | ||||
\(904\) | 17.0374 | 0.566654 | ||||||||
\(905\) | −44.0509 | − | 9.36331i | −1.46430 | − | 0.311247i | ||||
\(906\) | −8.39133 | + | 25.8259i | −0.278783 | + | 0.858007i | ||||
\(907\) | 8.96215 | + | 27.5827i | 0.297583 | + | 0.915868i | 0.982341 | + | 0.187097i | \(0.0599079\pi\) |
−0.684758 | + | 0.728770i | \(0.740092\pi\) | |||||||
\(908\) | 1.81151 | − | 17.2354i | 0.0601171 | − | 0.571976i | ||||
\(909\) | 6.81244 | − | 1.44803i | 0.225954 | − | 0.0480281i | ||||
\(910\) | 4.24729 | − | 0.902789i | 0.140796 | − | 0.0299272i | ||||
\(911\) | 11.8647 | + | 13.1771i | 0.393097 | + | 0.436578i | 0.906910 | − | 0.421324i | \(-0.138434\pi\) |
−0.513814 | + | 0.857902i | \(0.671768\pi\) | |||||||
\(912\) | −1.04531 | + | 0.759459i | −0.0346135 | + | 0.0251482i | ||||
\(913\) | 7.20951 | + | 3.20988i | 0.238600 | + | 0.106232i | ||||
\(914\) | 61.3182 | 2.02823 | ||||||||
\(915\) | −19.0179 | − | 32.4649i | −0.628712 | − | 1.07326i | ||||
\(916\) | −55.5005 | −1.83379 | ||||||||
\(917\) | 2.67561 | + | 1.19126i | 0.0883565 | + | 0.0393388i | ||||
\(918\) | −17.6196 | + | 12.8014i | −0.581533 | + | 0.422509i | ||||
\(919\) | −23.3434 | − | 25.9255i | −0.770028 | − | 0.855203i | 0.222786 | − | 0.974867i | \(-0.428485\pi\) |
−0.992814 | + | 0.119664i | \(0.961818\pi\) | |||||||
\(920\) | −42.7547 | + | 9.08778i | −1.40958 | + | 0.299615i | ||||
\(921\) | 57.2833 | − | 12.1759i | 1.88755 | − | 0.401211i | ||||
\(922\) | 6.35985 | − | 60.5099i | 0.209450 | − | 1.99279i | ||||
\(923\) | −5.26663 | − | 16.2090i | −0.173353 | − | 0.533526i | ||||
\(924\) | 0.546502 | − | 1.68196i | 0.0179786 | − | 0.0553325i | ||||
\(925\) | 0.969835 | + | 0.206145i | 0.0318880 | + | 0.00677800i | ||||
\(926\) | 4.18207 | 0.137431 | ||||||||
\(927\) | 12.2120 | + | 2.59574i | 0.401094 | + | 0.0852552i | ||||
\(928\) | −16.1745 | − | 28.0151i | −0.530954 | − | 0.919639i | ||||
\(929\) | 2.27445 | − | 3.93946i | 0.0746223 | − | 0.129250i | −0.826300 | − | 0.563231i | \(-0.809558\pi\) |
0.900922 | + | 0.433981i | \(0.142892\pi\) | |||||||
\(930\) | −28.1582 | + | 31.2728i | −0.923344 | + | 1.02548i | ||||
\(931\) | 0.417823 | − | 3.97532i | 0.0136936 | − | 0.130286i | ||||
\(932\) | 13.7393 | + | 15.2591i | 0.450046 | + | 0.499827i | ||||
\(933\) | 3.36845 | − | 3.74105i | 0.110278 | − | 0.122476i | ||||
\(934\) | 5.38437 | + | 51.2289i | 0.176182 | + | 1.67626i | ||||
\(935\) | −5.29266 | − | 3.84535i | −0.173089 | − | 0.125756i | ||||
\(936\) | 4.36848 | + | 7.56642i | 0.142788 | + | 0.247316i | ||||
\(937\) | −54.3861 | − | 24.2143i | −1.77672 | − | 0.791045i | −0.983208 | − | 0.182487i | \(-0.941585\pi\) |
−0.793509 | − | 0.608559i | \(-0.791748\pi\) | |||||||
\(938\) | −0.520083 | + | 1.60065i | −0.0169813 | + | 0.0522631i | ||||
\(939\) | −44.0500 | − | 32.0042i | −1.43752 | − | 1.04442i | ||||
\(940\) | 67.9292 | − | 30.2440i | 2.21561 | − | 0.986451i | ||||
\(941\) | −3.33593 | − | 31.7392i | −0.108748 | − | 1.03467i | −0.903750 | − | 0.428061i | \(-0.859197\pi\) |
0.795002 | − | 0.606607i | \(-0.207470\pi\) | |||||||
\(942\) | −16.5900 | − | 51.0589i | −0.540532 | − | 1.66359i | ||||
\(943\) | 58.1160 | − | 42.2238i | 1.89252 | − | 1.37500i | ||||
\(944\) | −0.377789 | + | 0.654350i | −0.0122960 | + | 0.0212973i | ||||
\(945\) | 2.06930 | − | 0.921312i | 0.0673144 | − | 0.0299703i | ||||
\(946\) | 0.718836 | − | 0.320047i | 0.0233714 | − | 0.0104056i | ||||
\(947\) | 19.4288 | − | 33.6516i | 0.631350 | − | 1.09353i | −0.355926 | − | 0.934514i | \(-0.615835\pi\) |
0.987276 | − | 0.159016i | \(-0.0508321\pi\) | |||||||
\(948\) | 30.2462 | − | 21.9751i | 0.982350 | − | 0.713719i | ||||
\(949\) | 0.557866 | + | 1.71693i | 0.0181091 | + | 0.0557341i | ||||
\(950\) | 0.0456323 | + | 0.434162i | 0.00148051 | + | 0.0140861i | ||||
\(951\) | −15.0752 | + | 6.71192i | −0.488847 | + | 0.217649i | ||||
\(952\) | −1.42787 | − | 1.03741i | −0.0462776 | − | 0.0336227i | ||||
\(953\) | −15.1528 | + | 46.6355i | −0.490847 | + | 1.51067i | 0.332484 | + | 0.943109i | \(0.392113\pi\) |
−0.823331 | + | 0.567562i | \(0.807887\pi\) | |||||||
\(954\) | 21.6943 | + | 9.65895i | 0.702380 | + | 0.312720i | ||||
\(955\) | 10.3528 | + | 17.9316i | 0.335009 | + | 0.580253i | ||||
\(956\) | −20.4060 | − | 14.8258i | −0.659978 | − | 0.479502i | ||||
\(957\) | −1.04035 | − | 9.89824i | −0.0336296 | − | 0.319965i | ||||
\(958\) | −30.8546 | + | 34.2675i | −0.996866 | + | 1.10713i | ||||
\(959\) | 1.35740 | + | 1.50755i | 0.0438329 | + | 0.0486813i | ||||
\(960\) | −6.53619 | + | 62.1877i | −0.210955 | + | 2.00710i | ||||
\(961\) | −10.4938 | + | 11.6546i | −0.338510 | + | 0.375953i | ||||
\(962\) | −9.67347 | + | 16.7549i | −0.311885 | + | 0.540201i | ||||
\(963\) | −4.10547 | − | 7.11088i | −0.132297 | − | 0.229145i | ||||
\(964\) | −38.2412 | − | 8.12841i | −1.23167 | − | 0.261799i | ||||
\(965\) | 36.4339 | 1.17285 | ||||||||
\(966\) | 11.1793 | + | 2.37622i | 0.359687 | + | 0.0764537i | ||||
\(967\) | −13.6348 | + | 41.9635i | −0.438465 | + | 1.34946i | 0.451030 | + | 0.892509i | \(0.351057\pi\) |
−0.889494 | + | 0.456946i | \(0.848943\pi\) | |||||||
\(968\) | −0.677129 | − | 2.08399i | −0.0217637 | − | 0.0669819i | ||||
\(969\) | −0.356492 | + | 3.39179i | −0.0114522 | + | 0.108960i | ||||
\(970\) | −36.1048 | + | 7.67431i | −1.15926 | + | 0.246407i | ||||
\(971\) | −17.9875 | + | 3.82336i | −0.577246 | + | 0.122697i | −0.487277 | − | 0.873247i | \(-0.662010\pi\) |
−0.0899684 | + | 0.995945i | \(0.528677\pi\) | |||||||
\(972\) | 26.0741 | + | 28.9582i | 0.836327 | + | 0.928835i | ||||
\(973\) | −1.91180 | + | 1.38900i | −0.0612895 | + | 0.0445294i | ||||
\(974\) | 43.9754 | + | 19.5791i | 1.40906 | + | 0.627354i | ||||
\(975\) | −2.08932 | −0.0669117 | ||||||||
\(976\) | 7.67504 | + | 3.35925i | 0.245672 | + | 0.107527i | ||||
\(977\) | 22.2497 | 0.711832 | 0.355916 | − | 0.934518i | \(-0.384169\pi\) | ||||
0.355916 | + | 0.934518i | \(0.384169\pi\) | |||||||
\(978\) | 94.1509 | + | 41.9187i | 3.01061 | + | 1.34041i | ||||
\(979\) | 3.37298 | − | 2.45061i | 0.107801 | − | 0.0783220i | ||||
\(980\) | −31.8964 | − | 35.4245i | −1.01889 | − | 1.13159i | ||||
\(981\) | −19.8374 | + | 4.21657i | −0.633359 | + | 0.134625i | ||||
\(982\) | −15.0656 | + | 3.20230i | −0.480764 | + | 0.102190i | ||||
\(983\) | −2.36720 | + | 22.5224i | −0.0755021 | + | 0.718354i | 0.889646 | + | 0.456651i | \(0.150951\pi\) |
−0.965148 | + | 0.261704i | \(0.915716\pi\) | |||||||
\(984\) | 11.7471 | + | 36.1540i | 0.374485 | + | 1.15255i | ||||
\(985\) | 5.87824 | − | 18.0914i | 0.187296 | − | 0.576438i | ||||
\(986\) | −29.5082 | − | 6.27216i | −0.939732 | − | 0.199746i | ||||
\(987\) | −6.40152 | −0.203763 | ||||||||
\(988\) | −4.98713 | − | 1.06005i | −0.158662 | − | 0.0337246i | ||||
\(989\) | 1.52180 | + | 2.63583i | 0.0483904 | + | 0.0838147i | ||||
\(990\) | −3.47359 | + | 6.01643i | −0.110398 | + | 0.191215i | ||||
\(991\) | −21.8603 | + | 24.2783i | −0.694416 | + | 0.771227i | −0.982477 | − | 0.186385i | \(-0.940323\pi\) |
0.288061 | + | 0.957612i | \(0.406989\pi\) | |||||||
\(992\) | 2.77232 | − | 26.3769i | 0.0880212 | − | 0.837466i | ||||
\(993\) | 27.5128 | + | 30.5561i | 0.873093 | + | 0.969668i | ||||
\(994\) | 2.44638 | − | 2.71699i | 0.0775946 | − | 0.0861776i | ||||
\(995\) | 4.04164 | + | 38.4536i | 0.128129 | + | 1.21906i | ||||
\(996\) | −39.6921 | − | 28.8380i | −1.25769 | − | 0.913767i | ||||
\(997\) | 19.8477 | + | 34.3772i | 0.628583 | + | 1.08874i | 0.987836 | + | 0.155497i | \(0.0496979\pi\) |
−0.359254 | + | 0.933240i | \(0.616969\pi\) | |||||||
\(998\) | −55.7049 | − | 24.8014i | −1.76331 | − | 0.785075i | ||||
\(999\) | −3.11875 | + | 9.59853i | −0.0986730 | + | 0.303684i |
(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 | 671.2.bn.a.12.3 | ✓ | 208 | |
61.56 | even | 15 | inner | 671.2.bn.a.56.3 | yes | 208 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
671.2.bn.a.12.3 | ✓ | 208 | 1.1 | even | 1 | trivial | |
671.2.bn.a.56.3 | yes | 208 | 61.56 | even | 15 | inner |