Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(2,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([2, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.bx (of order \(12\), 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: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(176\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 2.17 | ||
Character | \(\chi\) | \(=\) | 315.2 |
Dual form | 315.2.bx.a.158.17 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.839010 | − | 0.224812i | −0.593270 | − | 0.158966i | −0.0503225 | − | 0.998733i | \(-0.516025\pi\) |
−0.542947 | + | 0.839767i | \(0.682692\pi\) | |||||||
\(3\) | −0.882497 | − | 1.49037i | −0.509510 | − | 0.860465i | ||||
\(4\) | −1.07865 | − | 0.622761i | −0.539327 | − | 0.311380i | ||||
\(5\) | −1.58499 | − | 1.57728i | −0.708828 | − | 0.705381i | ||||
\(6\) | 0.405371 | + | 1.44883i | 0.165492 | + | 0.591482i | ||||
\(7\) | −2.60439 | − | 0.466002i | −0.984367 | − | 0.176132i | ||||
\(8\) | 1.99339 | + | 1.99339i | 0.704771 | + | 0.704771i | ||||
\(9\) | −1.44240 | + | 2.63049i | −0.480799 | + | 0.876831i | ||||
\(10\) | 0.975229 | + | 1.67968i | 0.308394 | + | 0.531161i | ||||
\(11\) | − | 1.82066i | − | 0.548950i | −0.961594 | − | 0.274475i | \(-0.911496\pi\) | ||
0.961594 | − | 0.274475i | \(-0.0885040\pi\) | |||||||
\(12\) | 0.0237657 | + | 2.15718i | 0.00686058 | + | 0.622723i | ||||
\(13\) | 2.44234 | + | 0.654424i | 0.677384 | + | 0.181504i | 0.581079 | − | 0.813847i | \(-0.302631\pi\) |
0.0963052 | + | 0.995352i | \(0.469298\pi\) | |||||||
\(14\) | 2.08035 | + | 0.976478i | 0.555996 | + | 0.260975i | ||||
\(15\) | −0.951981 | + | 3.75416i | −0.245800 | + | 0.969320i | ||||
\(16\) | 0.0211845 | + | 0.0366927i | 0.00529613 | + | 0.00917317i | ||||
\(17\) | −1.87596 | − | 0.502662i | −0.454987 | − | 0.121913i | 0.0240449 | − | 0.999711i | \(-0.492346\pi\) |
−0.479032 | + | 0.877797i | \(0.659012\pi\) | |||||||
\(18\) | 1.80155 | − | 1.88274i | 0.424630 | − | 0.443766i | ||||
\(19\) | 7.03381 | + | 4.06097i | 1.61367 | + | 0.931651i | 0.988511 | + | 0.151151i | \(0.0482978\pi\) |
0.625156 | + | 0.780500i | \(0.285035\pi\) | |||||||
\(20\) | 0.727385 | + | 2.68841i | 0.162648 | + | 0.601146i | ||||
\(21\) | 1.60385 | + | 4.29274i | 0.349989 | + | 0.936754i | ||||
\(22\) | −0.409306 | + | 1.52755i | −0.0872644 | + | 0.325675i | ||||
\(23\) | −5.70789 | − | 5.70789i | −1.19018 | − | 1.19018i | −0.977017 | − | 0.213160i | \(-0.931625\pi\) |
−0.213160 | − | 0.977017i | \(-0.568375\pi\) | |||||||
\(24\) | 1.21173 | − | 4.73005i | 0.247342 | − | 0.965518i | ||||
\(25\) | 0.0243739 | + | 4.99994i | 0.00487478 | + | 0.999988i | ||||
\(26\) | −1.90203 | − | 1.09814i | −0.373018 | − | 0.215362i | ||||
\(27\) | 5.19331 | − | 0.171701i | 0.999454 | − | 0.0330438i | ||||
\(28\) | 2.51903 | + | 2.12457i | 0.476051 | + | 0.401505i | ||||
\(29\) | −0.674328 | + | 1.16797i | −0.125219 | + | 0.216886i | −0.921819 | − | 0.387621i | \(-0.873297\pi\) |
0.796599 | + | 0.604508i | \(0.206630\pi\) | |||||||
\(30\) | 1.64270 | − | 2.93576i | 0.299915 | − | 0.535994i | ||||
\(31\) | −3.21241 | + | 5.56406i | −0.576966 | + | 0.999335i | 0.418859 | + | 0.908051i | \(0.362430\pi\) |
−0.995825 | + | 0.0912833i | \(0.970903\pi\) | |||||||
\(32\) | −1.46879 | − | 5.48160i | −0.259648 | − | 0.969019i | ||||
\(33\) | −2.71346 | + | 1.60673i | −0.472352 | + | 0.279696i | ||||
\(34\) | 1.46094 | + | 0.843476i | 0.250550 | + | 0.144655i | ||||
\(35\) | 3.39291 | + | 4.84646i | 0.573506 | + | 0.819201i | ||||
\(36\) | 3.19401 | − | 1.93912i | 0.532336 | − | 0.323187i | ||||
\(37\) | −11.1060 | + | 2.97585i | −1.82582 | + | 0.489227i | −0.997477 | − | 0.0709963i | \(-0.977382\pi\) |
−0.828342 | + | 0.560223i | \(0.810715\pi\) | |||||||
\(38\) | −4.98848 | − | 4.98848i | −0.809238 | − | 0.809238i | ||||
\(39\) | −1.18003 | − | 4.21752i | −0.188956 | − | 0.675343i | ||||
\(40\) | −0.0153645 | − | 6.30364i | −0.00242935 | − | 0.996693i | ||||
\(41\) | −4.89701 | + | 2.82729i | −0.764784 | + | 0.441548i | −0.831011 | − | 0.556256i | \(-0.812237\pi\) |
0.0662265 | + | 0.997805i | \(0.478904\pi\) | |||||||
\(42\) | −0.380587 | − | 3.96222i | −0.0587259 | − | 0.611384i | ||||
\(43\) | −1.32332 | − | 4.93868i | −0.201804 | − | 0.753142i | −0.990400 | − | 0.138230i | \(-0.955859\pi\) |
0.788596 | − | 0.614911i | \(-0.210808\pi\) | |||||||
\(44\) | −1.13384 | + | 1.96386i | −0.170932 | + | 0.296063i | ||||
\(45\) | 6.43521 | − | 1.89424i | 0.959304 | − | 0.282376i | ||||
\(46\) | 3.50577 | + | 6.07218i | 0.516898 | + | 0.895294i | ||||
\(47\) | 1.32497 | + | 0.355024i | 0.193266 | + | 0.0517855i | 0.354154 | − | 0.935187i | \(-0.384769\pi\) |
−0.160887 | + | 0.986973i | \(0.551436\pi\) | |||||||
\(48\) | 0.0359903 | − | 0.0639539i | 0.00519475 | − | 0.00923095i | ||||
\(49\) | 6.56568 | + | 2.42730i | 0.937955 | + | 0.346757i | ||||
\(50\) | 1.10360 | − | 4.20048i | 0.156072 | − | 0.594037i | ||||
\(51\) | 0.906378 | + | 3.23947i | 0.126918 | + | 0.453616i | ||||
\(52\) | −2.22689 | − | 2.22689i | −0.308814 | − | 0.308814i | ||||
\(53\) | −2.14686 | + | 8.01219i | −0.294894 | + | 1.10056i | 0.646408 | + | 0.762992i | \(0.276271\pi\) |
−0.941302 | + | 0.337567i | \(0.890396\pi\) | |||||||
\(54\) | −4.39584 | − | 1.02346i | −0.598198 | − | 0.139275i | ||||
\(55\) | −2.87169 | + | 2.88573i | −0.387219 | + | 0.389111i | ||||
\(56\) | −4.26265 | − | 6.12049i | −0.569620 | − | 0.817886i | ||||
\(57\) | −0.154974 | − | 14.0668i | −0.0205269 | − | 1.86319i | ||||
\(58\) | 0.828341 | − | 0.828341i | 0.108767 | − | 0.108767i | ||||
\(59\) | −0.666887 | + | 1.15508i | −0.0868213 | + | 0.150379i | −0.906166 | − | 0.422922i | \(-0.861004\pi\) |
0.819345 | + | 0.573301i | \(0.194338\pi\) | |||||||
\(60\) | 3.36480 | − | 3.45658i | 0.434394 | − | 0.446243i | ||||
\(61\) | −2.77083 | − | 4.79921i | −0.354768 | − | 0.614476i | 0.632310 | − | 0.774715i | \(-0.282107\pi\) |
−0.987078 | + | 0.160239i | \(0.948773\pi\) | |||||||
\(62\) | 3.94611 | − | 3.94611i | 0.501157 | − | 0.501157i | ||||
\(63\) | 4.98238 | − | 6.17867i | 0.627720 | − | 0.778439i | ||||
\(64\) | 4.84458i | 0.605572i | ||||||||
\(65\) | −2.83887 | − | 4.88951i | −0.352119 | − | 0.606469i | ||||
\(66\) | 2.63783 | − | 0.738044i | 0.324694 | − | 0.0908469i | ||||
\(67\) | 2.61660 | − | 0.701116i | 0.319669 | − | 0.0856550i | −0.0954166 | − | 0.995437i | \(-0.530418\pi\) |
0.415085 | + | 0.909782i | \(0.363752\pi\) | |||||||
\(68\) | 1.71047 | + | 1.71047i | 0.207425 | + | 0.207425i | ||||
\(69\) | −3.46966 | + | 13.5441i | −0.417698 | + | 1.63051i | ||||
\(70\) | −1.75714 | − | 4.82899i | −0.210019 | − | 0.577175i | ||||
\(71\) | − | 7.49935i | − | 0.890009i | −0.895528 | − | 0.445005i | \(-0.853202\pi\) | ||
0.895528 | − | 0.445005i | \(-0.146798\pi\) | |||||||
\(72\) | −8.11887 | + | 2.36834i | −0.956818 | + | 0.279112i | ||||
\(73\) | 3.04716 | + | 0.816484i | 0.356643 | + | 0.0955622i | 0.432692 | − | 0.901542i | \(-0.357564\pi\) |
−0.0760489 | + | 0.997104i | \(0.524231\pi\) | |||||||
\(74\) | 9.98707 | 1.16097 | ||||||||
\(75\) | 7.43024 | − | 4.44876i | 0.857971 | − | 0.513699i | ||||
\(76\) | −5.05803 | − | 8.76076i | −0.580196 | − | 1.00493i | ||||
\(77\) | −0.848432 | + | 4.74171i | −0.0966877 | + | 0.540368i | ||||
\(78\) | 0.0419069 | + | 3.80382i | 0.00474503 | + | 0.430698i | ||||
\(79\) | −8.31706 | + | 4.80186i | −0.935742 | + | 0.540251i | −0.888623 | − | 0.458638i | \(-0.848337\pi\) |
−0.0471190 | + | 0.998889i | \(0.515004\pi\) | |||||||
\(80\) | 0.0242974 | − | 0.0915714i | 0.00271653 | − | 0.0102380i | ||||
\(81\) | −4.83898 | − | 7.58843i | −0.537665 | − | 0.843159i | ||||
\(82\) | 4.74425 | − | 1.27122i | 0.523915 | − | 0.140382i | ||||
\(83\) | −1.61775 | + | 0.433475i | −0.177571 | + | 0.0475800i | −0.346509 | − | 0.938047i | \(-0.612633\pi\) |
0.168938 | + | 0.985627i | \(0.445966\pi\) | |||||||
\(84\) | 0.943353 | − | 5.62920i | 0.102928 | − | 0.614196i | ||||
\(85\) | 2.18053 | + | 3.75563i | 0.236512 | + | 0.407355i | ||||
\(86\) | 4.44110i | 0.478896i | ||||||||
\(87\) | 2.33580 | − | 0.0257336i | 0.250424 | − | 0.00275893i | ||||
\(88\) | 3.62929 | − | 3.62929i | 0.386884 | − | 0.386884i | ||||
\(89\) | 1.05978 | − | 1.83558i | 0.112336 | − | 0.194572i | −0.804376 | − | 0.594121i | \(-0.797500\pi\) |
0.916712 | + | 0.399549i | \(0.130833\pi\) | |||||||
\(90\) | −5.82505 | + | 0.142571i | −0.614014 | + | 0.0150283i | ||||
\(91\) | −6.05585 | − | 2.84251i | −0.634825 | − | 0.297976i | ||||
\(92\) | 2.60218 | + | 9.71149i | 0.271297 | + | 1.01249i | ||||
\(93\) | 11.1274 | − | 0.122592i | 1.15386 | − | 0.0127122i | ||||
\(94\) | −1.03185 | − | 0.595737i | −0.106427 | − | 0.0614456i | ||||
\(95\) | −4.74321 | − | 17.5309i | −0.486643 | − | 1.79863i | ||||
\(96\) | −6.87340 | + | 7.02653i | −0.701513 | + | 0.717143i | ||||
\(97\) | −6.79141 | + | 1.81975i | −0.689564 | + | 0.184768i | −0.586551 | − | 0.809912i | \(-0.699515\pi\) |
−0.103012 | + | 0.994680i | \(0.532848\pi\) | |||||||
\(98\) | −4.96299 | − | 3.51257i | −0.501337 | − | 0.354824i | ||||
\(99\) | 4.78924 | + | 2.62612i | 0.481336 | + | 0.263934i | ||||
\(100\) | 3.08748 | − | 5.40838i | 0.308748 | − | 0.540838i | ||||
\(101\) | 3.11200i | 0.309655i | 0.987941 | + | 0.154828i | \(0.0494822\pi\) | ||||
−0.987941 | + | 0.154828i | \(0.950518\pi\) | |||||||
\(102\) | −0.0321887 | − | 2.92171i | −0.00318715 | − | 0.289292i | ||||
\(103\) | 4.71757 | − | 4.71757i | 0.464836 | − | 0.464836i | −0.435400 | − | 0.900237i | \(-0.643393\pi\) |
0.900237 | + | 0.435400i | \(0.143393\pi\) | |||||||
\(104\) | 3.56402 | + | 6.17307i | 0.349481 | + | 0.605319i | ||||
\(105\) | 4.22878 | − | 9.33367i | 0.412686 | − | 0.910873i | ||||
\(106\) | 3.60247 | − | 6.23967i | 0.349903 | − | 0.606050i | ||||
\(107\) | −3.47108 | − | 12.9543i | −0.335562 | − | 1.25234i | −0.903258 | − | 0.429097i | \(-0.858832\pi\) |
0.567696 | − | 0.823238i | \(-0.307835\pi\) | |||||||
\(108\) | −5.70872 | − | 3.04899i | −0.549322 | − | 0.293389i | ||||
\(109\) | 3.81072 | − | 2.20012i | 0.365001 | − | 0.210733i | −0.306271 | − | 0.951944i | \(-0.599081\pi\) |
0.671272 | + | 0.741211i | \(0.265748\pi\) | |||||||
\(110\) | 3.05812 | − | 1.77556i | 0.291581 | − | 0.169293i | ||||
\(111\) | 14.2361 | + | 13.9259i | 1.35124 | + | 1.32179i | ||||
\(112\) | −0.0380739 | − | 0.105434i | −0.00359764 | − | 0.00996258i | ||||
\(113\) | −2.95108 | + | 11.0136i | −0.277614 | + | 1.03607i | 0.676455 | + | 0.736484i | \(0.263515\pi\) |
−0.954069 | + | 0.299586i | \(0.903151\pi\) | |||||||
\(114\) | −3.03235 | + | 11.8370i | −0.284006 | + | 1.10864i | ||||
\(115\) | 0.0439949 | + | 18.0499i | 0.00410254 | + | 1.68316i | ||||
\(116\) | 1.45473 | − | 0.839890i | 0.135068 | − | 0.0779818i | ||||
\(117\) | −5.24428 | + | 5.48063i | −0.484834 | + | 0.506684i | ||||
\(118\) | 0.819202 | − | 0.819202i | 0.0754136 | − | 0.0754136i | ||||
\(119\) | 4.65149 | + | 2.18333i | 0.426401 | + | 0.200145i | ||||
\(120\) | −9.38119 | + | 5.58585i | −0.856382 | + | 0.509916i | ||||
\(121\) | 7.68519 | 0.698654 | ||||||||
\(122\) | 1.24583 | + | 4.64950i | 0.112792 | + | 0.420946i | ||||
\(123\) | 8.53530 | + | 4.80327i | 0.769602 | + | 0.433097i | ||||
\(124\) | 6.93016 | − | 4.00113i | 0.622347 | − | 0.359312i | ||||
\(125\) | 7.84768 | − | 7.96329i | 0.701917 | − | 0.712258i | ||||
\(126\) | −5.56930 | + | 4.06386i | −0.496153 | + | 0.362038i | ||||
\(127\) | −2.24249 | − | 2.24249i | −0.198989 | − | 0.198989i | 0.600578 | − | 0.799567i | \(-0.294937\pi\) |
−0.799567 | + | 0.600578i | \(0.794937\pi\) | |||||||
\(128\) | −1.84846 | + | 6.89855i | −0.163382 | + | 0.609751i | ||||
\(129\) | −6.19263 | + | 6.33060i | −0.545231 | + | 0.557378i | ||||
\(130\) | 1.28262 | + | 4.74056i | 0.112493 | + | 0.415775i | ||||
\(131\) | 6.35884i | 0.555575i | 0.960643 | + | 0.277787i | \(0.0896011\pi\) | ||||
−0.960643 | + | 0.277787i | \(0.910399\pi\) | |||||||
\(132\) | 3.92749 | − | 0.0432693i | 0.341844 | − | 0.00376611i | ||||
\(133\) | −16.4264 | − | 13.8541i | −1.42435 | − | 1.20130i | ||||
\(134\) | −2.35297 | −0.203266 | ||||||||
\(135\) | −8.50216 | − | 7.91917i | −0.731750 | − | 0.681574i | ||||
\(136\) | −2.73752 | − | 4.74153i | −0.234741 | − | 0.406583i | ||||
\(137\) | −15.6363 | + | 15.6363i | −1.33590 | + | 1.33590i | −0.435903 | + | 0.899994i | \(0.643571\pi\) |
−0.899994 | + | 0.435903i | \(0.856429\pi\) | |||||||
\(138\) | 5.95595 | − | 10.5836i | 0.507004 | − | 0.900934i | ||||
\(139\) | −9.95142 | + | 5.74546i | −0.844069 | + | 0.487323i | −0.858645 | − | 0.512571i | \(-0.828693\pi\) |
0.0145765 | + | 0.999894i | \(0.495360\pi\) | |||||||
\(140\) | −0.641589 | − | 7.34062i | −0.0542242 | − | 0.620396i | ||||
\(141\) | −0.640163 | − | 2.28800i | −0.0539115 | − | 0.192684i | ||||
\(142\) | −1.68594 | + | 6.29203i | −0.141481 | + | 0.528015i | ||||
\(143\) | 1.19148 | − | 4.44668i | 0.0996369 | − | 0.371850i | ||||
\(144\) | −0.127076 | + | 0.00280035i | −0.0105897 | + | 0.000233363i | ||||
\(145\) | 2.91102 | − | 0.787614i | 0.241747 | − | 0.0654078i | ||||
\(146\) | −2.37304 | − | 1.37008i | −0.196394 | − | 0.113388i | ||||
\(147\) | −2.17663 | − | 11.9274i | −0.179525 | − | 0.983753i | ||||
\(148\) | 13.8328 | + | 3.70649i | 1.13705 | + | 0.304671i | ||||
\(149\) | −15.8529 | −1.29872 | −0.649360 | − | 0.760482i | \(-0.724963\pi\) | ||||
−0.649360 | + | 0.760482i | \(0.724963\pi\) | |||||||
\(150\) | −7.23418 | + | 2.06215i | −0.590669 | + | 0.168374i | ||||
\(151\) | 3.30926 | 0.269304 | 0.134652 | − | 0.990893i | \(-0.457008\pi\) | ||||
0.134652 | + | 0.990893i | \(0.457008\pi\) | |||||||
\(152\) | 5.92603 | + | 22.1163i | 0.480665 | + | 1.79386i | ||||
\(153\) | 4.02813 | − | 4.20966i | 0.325655 | − | 0.340331i | ||||
\(154\) | 1.77784 | − | 3.78760i | 0.143262 | − | 0.305214i | ||||
\(155\) | 13.8677 | − | 3.75210i | 1.11388 | − | 0.301376i | ||||
\(156\) | −1.35366 | + | 5.28412i | −0.108380 | + | 0.423068i | ||||
\(157\) | −11.4356 | + | 3.06417i | −0.912663 | + | 0.244547i | −0.684446 | − | 0.729063i | \(-0.739956\pi\) |
−0.228216 | + | 0.973610i | \(0.573289\pi\) | |||||||
\(158\) | 8.05761 | − | 2.15903i | 0.641029 | − | 0.171763i | ||||
\(159\) | 13.8357 | − | 3.87112i | 1.09724 | − | 0.307000i | ||||
\(160\) | −6.31800 | + | 11.0050i | −0.499482 | + | 0.870018i | ||||
\(161\) | 12.2057 | + | 17.5255i | 0.961942 | + | 1.38120i | ||||
\(162\) | 2.35399 | + | 7.45463i | 0.184947 | + | 0.585691i | ||||
\(163\) | 3.24088 | + | 12.0951i | 0.253845 | + | 0.947362i | 0.968729 | + | 0.248120i | \(0.0798126\pi\) |
−0.714884 | + | 0.699243i | \(0.753521\pi\) | |||||||
\(164\) | 7.04290 | 0.549958 | ||||||||
\(165\) | 6.83506 | + | 1.73323i | 0.532108 | + | 0.134932i | ||||
\(166\) | 1.45476 | 0.112911 | ||||||||
\(167\) | 17.6985 | + | 4.74229i | 1.36955 | + | 0.366969i | 0.867313 | − | 0.497763i | \(-0.165845\pi\) |
0.502234 | + | 0.864732i | \(0.332512\pi\) | |||||||
\(168\) | −5.36002 | + | 11.7542i | −0.413534 | + | 0.906859i | ||||
\(169\) | −5.72156 | − | 3.30335i | −0.440120 | − | 0.254104i | ||||
\(170\) | −0.985180 | − | 3.64122i | −0.0755599 | − | 0.279269i | ||||
\(171\) | −20.8279 | + | 12.6449i | −1.59275 | + | 0.966976i | ||||
\(172\) | −1.64822 | + | 6.15123i | −0.125675 | + | 0.469027i | ||||
\(173\) | −2.94082 | + | 10.9753i | −0.223587 | + | 0.834437i | 0.759379 | + | 0.650649i | \(0.225503\pi\) |
−0.982966 | + | 0.183789i | \(0.941164\pi\) | |||||||
\(174\) | −1.96554 | − | 0.503525i | −0.149007 | − | 0.0381721i | ||||
\(175\) | 2.26650 | − | 13.0331i | 0.171332 | − | 0.985213i | ||||
\(176\) | 0.0668049 | − | 0.0385698i | 0.00503561 | − | 0.00290731i | ||||
\(177\) | 2.31003 | − | 0.0254497i | 0.173632 | − | 0.00191292i | ||||
\(178\) | −1.30182 | + | 1.30182i | −0.0975758 | + | 0.0975758i | ||||
\(179\) | −6.65157 | − | 11.5209i | −0.497161 | − | 0.861109i | 0.502833 | − | 0.864383i | \(-0.332291\pi\) |
−0.999995 | + | 0.00327466i | \(0.998958\pi\) | |||||||
\(180\) | −8.12101 | − | 1.96437i | −0.605305 | − | 0.146416i | ||||
\(181\) | −10.3424 | −0.768744 | −0.384372 | − | 0.923178i | \(-0.625582\pi\) | ||||
−0.384372 | + | 0.923178i | \(0.625582\pi\) | |||||||
\(182\) | 4.44188 | + | 3.74632i | 0.329254 | + | 0.277696i | ||||
\(183\) | −4.70735 | + | 8.36485i | −0.347977 | + | 0.618347i | ||||
\(184\) | − | 22.7561i | − | 1.67760i | ||||||
\(185\) | 22.2967 | + | 12.8006i | 1.63928 | + | 0.941120i | ||||
\(186\) | −9.36360 | − | 2.39873i | −0.686572 | − | 0.175883i | ||||
\(187\) | −0.915177 | + | 3.41549i | −0.0669243 | + | 0.249765i | ||||
\(188\) | −1.20809 | − | 1.20809i | −0.0881087 | − | 0.0881087i | ||||
\(189\) | −13.6054 | − | 1.97292i | −0.989649 | − | 0.143509i | ||||
\(190\) | 0.0384499 | + | 15.7749i | 0.00278945 | + | 1.14443i | ||||
\(191\) | 4.26269 | − | 2.46107i | 0.308438 | − | 0.178077i | −0.337790 | − | 0.941222i | \(-0.609679\pi\) |
0.646227 | + | 0.763145i | \(0.276346\pi\) | |||||||
\(192\) | 7.22021 | − | 4.27533i | 0.521074 | − | 0.308545i | ||||
\(193\) | −5.95290 | − | 22.2165i | −0.428499 | − | 1.59918i | −0.756162 | − | 0.654385i | \(-0.772928\pi\) |
0.327663 | − | 0.944795i | \(-0.393739\pi\) | |||||||
\(194\) | 6.10717 | 0.438469 | ||||||||
\(195\) | −4.78188 | + | 8.54595i | −0.342437 | + | 0.611988i | ||||
\(196\) | −5.57047 | − | 6.70707i | −0.397891 | − | 0.479076i | ||||
\(197\) | −4.46777 | + | 4.46777i | −0.318315 | + | 0.318315i | −0.848120 | − | 0.529805i | \(-0.822265\pi\) |
0.529805 | + | 0.848120i | \(0.322265\pi\) | |||||||
\(198\) | −3.42783 | − | 3.28001i | −0.243606 | − | 0.233100i | ||||
\(199\) | −1.36863 | + | 0.790181i | −0.0970199 | + | 0.0560144i | −0.547725 | − | 0.836658i | \(-0.684506\pi\) |
0.450705 | + | 0.892673i | \(0.351173\pi\) | |||||||
\(200\) | −9.91826 | + | 10.0154i | −0.701327 | + | 0.708198i | ||||
\(201\) | −3.35407 | − | 3.28097i | −0.236578 | − | 0.231422i | ||||
\(202\) | 0.699614 | − | 2.61100i | 0.0492247 | − | 0.183709i | ||||
\(203\) | 2.30049 | − | 2.72761i | 0.161463 | − | 0.191441i | ||||
\(204\) | 1.03975 | − | 4.05872i | 0.0727968 | − | 0.284167i | ||||
\(205\) | 12.2211 | + | 3.24274i | 0.853561 | + | 0.226483i | ||||
\(206\) | −5.01866 | + | 2.89752i | −0.349667 | + | 0.201880i | ||||
\(207\) | 23.2476 | − | 6.78152i | 1.61582 | − | 0.471348i | ||||
\(208\) | 0.0277273 | + | 0.103480i | 0.00192254 | + | 0.00717503i | ||||
\(209\) | 7.39365 | − | 12.8062i | 0.511430 | − | 0.885822i | ||||
\(210\) | −5.64631 | + | 6.88036i | −0.389632 | + | 0.474790i | ||||
\(211\) | −3.42121 | − | 5.92571i | −0.235526 | − | 0.407943i | 0.723899 | − | 0.689905i | \(-0.242348\pi\) |
−0.959425 | + | 0.281963i | \(0.909015\pi\) | |||||||
\(212\) | 7.30540 | − | 7.30540i | 0.501737 | − | 0.501737i | ||||
\(213\) | −11.1768 | + | 6.61816i | −0.765822 | + | 0.453469i | ||||
\(214\) | 11.6491i | 0.796316i | ||||||||
\(215\) | −5.69224 | + | 9.91499i | −0.388208 | + | 0.676196i | ||||
\(216\) | 10.6946 | + | 10.0100i | 0.727674 | + | 0.681098i | ||||
\(217\) | 10.9592 | − | 12.9940i | 0.743961 | − | 0.882089i | ||||
\(218\) | −3.69185 | + | 0.989227i | −0.250043 | + | 0.0669989i | ||||
\(219\) | −1.47225 | − | 5.26193i | −0.0994853 | − | 0.355568i | ||||
\(220\) | 4.89468 | − | 1.32432i | 0.329999 | − | 0.0892857i | ||||
\(221\) | −4.25278 | − | 2.45534i | −0.286073 | − | 0.165164i | ||||
\(222\) | −8.81356 | − | 14.8844i | −0.591527 | − | 0.998976i | ||||
\(223\) | −2.90688 | − | 10.8486i | −0.194659 | − | 0.726478i | −0.992355 | − | 0.123418i | \(-0.960614\pi\) |
0.797695 | − | 0.603060i | \(-0.206052\pi\) | |||||||
\(224\) | 1.27086 | + | 14.9607i | 0.0849132 | + | 0.999602i | ||||
\(225\) | −13.1875 | − | 7.14778i | −0.879164 | − | 0.476519i | ||||
\(226\) | 4.95197 | − | 8.57706i | 0.329400 | − | 0.570538i | ||||
\(227\) | 2.73063 | − | 2.73063i | 0.181238 | − | 0.181238i | −0.610657 | − | 0.791895i | \(-0.709095\pi\) |
0.791895 | + | 0.610657i | \(0.209095\pi\) | |||||||
\(228\) | −8.59307 | + | 15.2697i | −0.569090 | + | 1.01126i | ||||
\(229\) | 9.74139i | 0.643729i | 0.946786 | + | 0.321865i | \(0.104310\pi\) | ||||
−0.946786 | + | 0.321865i | \(0.895690\pi\) | |||||||
\(230\) | 4.02092 | − | 15.1539i | 0.265131 | − | 0.999220i | ||||
\(231\) | 7.81563 | − | 2.92007i | 0.514231 | − | 0.192127i | ||||
\(232\) | −3.67242 | + | 0.984022i | −0.241106 | + | 0.0646042i | ||||
\(233\) | 17.2226 | − | 4.61479i | 1.12829 | − | 0.302325i | 0.354057 | − | 0.935224i | \(-0.384802\pi\) |
0.774235 | + | 0.632899i | \(0.218135\pi\) | |||||||
\(234\) | 5.63212 | − | 3.41932i | 0.368183 | − | 0.223528i | ||||
\(235\) | −1.54008 | − | 2.65255i | −0.100464 | − | 0.173033i | ||||
\(236\) | 1.43868 | − | 0.830623i | 0.0936502 | − | 0.0540690i | ||||
\(237\) | 14.4963 | + | 8.15786i | 0.941637 | + | 0.529910i | ||||
\(238\) | −3.41180 | − | 2.87754i | −0.221154 | − | 0.186523i | ||||
\(239\) | −7.70620 | − | 13.3475i | −0.498473 | − | 0.863380i | 0.501526 | − | 0.865143i | \(-0.332772\pi\) |
−0.999998 | + | 0.00176264i | \(0.999439\pi\) | |||||||
\(240\) | −0.157917 | + | 0.0445994i | −0.0101935 | + | 0.00287888i | ||||
\(241\) | 15.5051 | 0.998772 | 0.499386 | − | 0.866380i | \(-0.333559\pi\) | ||||
0.499386 | + | 0.866380i | \(0.333559\pi\) | |||||||
\(242\) | −6.44795 | − | 1.72772i | −0.414490 | − | 0.111062i | ||||
\(243\) | −7.03916 | + | 13.9086i | −0.451562 | + | 0.892240i | ||||
\(244\) | 6.90225i | 0.441871i | ||||||||
\(245\) | −6.57800 | − | 14.2032i | −0.420253 | − | 0.907407i | ||||
\(246\) | −6.08137 | − | 5.94883i | −0.387734 | − | 0.379284i | ||||
\(247\) | 14.5214 | + | 14.5214i | 0.923973 | + | 0.923973i | ||||
\(248\) | −17.4950 | + | 4.68776i | −1.11093 | + | 0.297673i | ||||
\(249\) | 2.07370 | + | 2.02850i | 0.131415 | + | 0.128551i | ||||
\(250\) | −8.37452 | + | 4.91703i | −0.529651 | + | 0.310980i | ||||
\(251\) | − | 19.1613i | − | 1.20945i | −0.796435 | − | 0.604724i | \(-0.793283\pi\) | ||
0.796435 | − | 0.604724i | \(-0.206717\pi\) | |||||||
\(252\) | −9.22209 | + | 3.56181i | −0.580937 | + | 0.224373i | ||||
\(253\) | −10.3921 | + | 10.3921i | −0.653348 | + | 0.653348i | ||||
\(254\) | 1.37733 | + | 2.38561i | 0.0864216 | + | 0.149687i | ||||
\(255\) | 3.67295 | − | 6.56413i | 0.230009 | − | 0.411062i | ||||
\(256\) | 7.94633 | − | 13.7634i | 0.496646 | − | 0.860216i | ||||
\(257\) | −0.871274 | + | 0.871274i | −0.0543486 | + | 0.0543486i | −0.733759 | − | 0.679410i | \(-0.762236\pi\) |
0.679410 | + | 0.733759i | \(0.262236\pi\) | |||||||
\(258\) | 6.61887 | − | 3.91926i | 0.412073 | − | 0.244002i | ||||
\(259\) | 30.3111 | − | 2.57484i | 1.88344 | − | 0.159993i | ||||
\(260\) | 0.0171643 | + | 7.04203i | 0.00106448 | + | 0.436728i | ||||
\(261\) | −2.09969 | − | 3.45849i | −0.129967 | − | 0.214075i | ||||
\(262\) | 1.42954 | − | 5.33513i | 0.0883176 | − | 0.329606i | ||||
\(263\) | −4.72244 | − | 4.72244i | −0.291198 | − | 0.291198i | 0.546355 | − | 0.837553i | \(-0.316015\pi\) |
−0.837553 | + | 0.546355i | \(0.816015\pi\) | |||||||
\(264\) | −8.61182 | − | 2.20614i | −0.530021 | − | 0.135779i | ||||
\(265\) | 16.0402 | − | 9.31302i | 0.985343 | − | 0.572095i | ||||
\(266\) | 10.6673 | + | 15.3166i | 0.654054 | + | 0.939120i | ||||
\(267\) | −3.67095 | + | 0.0404430i | −0.224658 | + | 0.00247507i | ||||
\(268\) | −3.25904 | − | 0.873256i | −0.199077 | − | 0.0533426i | ||||
\(269\) | −10.9449 | − | 18.9572i | −0.667325 | − | 1.15584i | −0.978649 | − | 0.205536i | \(-0.934106\pi\) |
0.311325 | − | 0.950304i | \(-0.399227\pi\) | |||||||
\(270\) | 5.35307 | + | 8.55565i | 0.325778 | + | 0.520680i | ||||
\(271\) | 13.0486 | − | 22.6008i | 0.792645 | − | 1.37290i | −0.131678 | − | 0.991293i | \(-0.542037\pi\) |
0.924324 | − | 0.381610i | \(-0.124630\pi\) | |||||||
\(272\) | −0.0212973 | − | 0.0794826i | −0.00129134 | − | 0.00481934i | ||||
\(273\) | 1.10788 | + | 11.5340i | 0.0670521 | + | 0.698066i | ||||
\(274\) | 16.6342 | − | 9.60376i | 1.00491 | − | 0.580185i | ||||
\(275\) | 9.10320 | − | 0.0443766i | 0.548943 | − | 0.00267601i | ||||
\(276\) | 12.1773 | − | 12.4486i | 0.732986 | − | 0.749316i | ||||
\(277\) | −2.68911 | − | 2.68911i | −0.161573 | − | 0.161573i | 0.621690 | − | 0.783263i | \(-0.286446\pi\) |
−0.783263 | + | 0.621690i | \(0.786446\pi\) | |||||||
\(278\) | 9.64099 | − | 2.58330i | 0.578228 | − | 0.154936i | ||||
\(279\) | −10.0026 | − | 16.4758i | −0.598843 | − | 0.986381i | ||||
\(280\) | −2.89749 | + | 16.4243i | −0.173158 | + | 0.981539i | ||||
\(281\) | −16.6640 | − | 9.62097i | −0.994092 | − | 0.573939i | −0.0875968 | − | 0.996156i | \(-0.527919\pi\) |
−0.906495 | + | 0.422217i | \(0.861252\pi\) | |||||||
\(282\) | 0.0227344 | + | 2.06357i | 0.00135382 | + | 0.122884i | ||||
\(283\) | 0.103439 | + | 0.386039i | 0.00614881 | + | 0.0229477i | 0.968932 | − | 0.247327i | \(-0.0795522\pi\) |
−0.962783 | + | 0.270275i | \(0.912886\pi\) | |||||||
\(284\) | −4.67030 | + | 8.08920i | −0.277132 | + | 0.480006i | ||||
\(285\) | −21.9416 | + | 22.5401i | −1.29971 | + | 1.33516i | ||||
\(286\) | −1.99933 | + | 3.46295i | −0.118223 | + | 0.204768i | ||||
\(287\) | 14.0712 | − | 5.08135i | 0.830599 | − | 0.299942i | ||||
\(288\) | 16.5379 | + | 4.04300i | 0.974504 | + | 0.238236i | ||||
\(289\) | −11.4559 | − | 6.61405i | −0.673875 | − | 0.389062i | ||||
\(290\) | −2.61944 | + | 0.00638463i | −0.153819 | + | 0.000374918i | ||||
\(291\) | 8.70551 | + | 8.51578i | 0.510326 | + | 0.499204i | ||||
\(292\) | −2.77835 | − | 2.77835i | −0.162591 | − | 0.162591i | ||||
\(293\) | −3.68484 | + | 13.7520i | −0.215270 | + | 0.803400i | 0.770801 | + | 0.637076i | \(0.219856\pi\) |
−0.986071 | + | 0.166324i | \(0.946810\pi\) | |||||||
\(294\) | −0.855206 | + | 10.4965i | −0.0498766 | + | 0.612169i | ||||
\(295\) | 2.87890 | − | 0.778924i | 0.167616 | − | 0.0453507i | ||||
\(296\) | −28.0707 | − | 16.2066i | −1.63158 | − | 0.941991i | ||||
\(297\) | −0.312609 | − | 9.45527i | −0.0181394 | − | 0.548650i | ||||
\(298\) | 13.3007 | + | 3.56392i | 0.770491 | + | 0.206452i | ||||
\(299\) | −10.2052 | − | 17.6760i | −0.590184 | − | 1.02223i | ||||
\(300\) | −10.7852 | + | 0.171406i | −0.622682 | + | 0.00989614i | ||||
\(301\) | 1.14499 | + | 13.4789i | 0.0659963 | + | 0.776911i | ||||
\(302\) | −2.77650 | − | 0.743962i | −0.159770 | − | 0.0428102i | ||||
\(303\) | 4.63802 | − | 2.74633i | 0.266447 | − | 0.157772i | ||||
\(304\) | 0.344119i | 0.0197366i | ||||||||
\(305\) | −3.17798 | + | 11.9771i | −0.181970 | + | 0.685805i | ||||
\(306\) | −4.32602 | + | 2.62638i | −0.247302 | + | 0.150140i | ||||
\(307\) | −21.0079 | − | 21.0079i | −1.19899 | − | 1.19899i | −0.974471 | − | 0.224514i | \(-0.927920\pi\) |
−0.224514 | − | 0.974471i | \(-0.572080\pi\) | |||||||
\(308\) | 3.86812 | − | 4.58629i | 0.220406 | − | 0.261328i | ||||
\(309\) | −11.1942 | − | 2.86768i | −0.636814 | − | 0.163136i | ||||
\(310\) | −12.4787 | + | 0.0304156i | −0.708741 | + | 0.00172749i | ||||
\(311\) | 9.47148 | + | 5.46836i | 0.537079 | + | 0.310082i | 0.743894 | − | 0.668298i | \(-0.232977\pi\) |
−0.206816 | + | 0.978380i | \(0.566310\pi\) | |||||||
\(312\) | 6.05491 | − | 10.7594i | 0.342792 | − | 0.609133i | ||||
\(313\) | −3.02503 | − | 0.810555i | −0.170985 | − | 0.0458153i | 0.172311 | − | 0.985043i | \(-0.444877\pi\) |
−0.343296 | + | 0.939227i | \(0.611543\pi\) | |||||||
\(314\) | 10.2835 | 0.580330 | ||||||||
\(315\) | −17.6425 | + | 1.93451i | −0.994042 | + | 0.108997i | ||||
\(316\) | 11.9616 | 0.672894 | ||||||||
\(317\) | 2.12914 | + | 0.570502i | 0.119584 | + | 0.0320426i | 0.318115 | − | 0.948052i | \(-0.396950\pi\) |
−0.198530 | + | 0.980095i | \(0.563617\pi\) | |||||||
\(318\) | −12.4786 | + | 0.137477i | −0.699764 | + | 0.00770934i | ||||
\(319\) | 2.12648 | + | 1.22772i | 0.119060 | + | 0.0687392i | ||||
\(320\) | 7.64126 | − | 7.67860i | 0.427159 | − | 0.429247i | ||||
\(321\) | −16.2434 | + | 16.6053i | −0.906618 | + | 0.926817i | ||||
\(322\) | −6.30075 | − | 17.4480i | −0.351127 | − | 0.972339i | ||||
\(323\) | −11.1538 | − | 11.1538i | −0.620617 | − | 0.620617i | ||||
\(324\) | 0.493812 | + | 11.1988i | 0.0274340 | + | 0.622156i | ||||
\(325\) | −3.21255 | + | 12.2275i | −0.178200 | + | 0.678261i | ||||
\(326\) | − | 10.8765i | − | 0.602394i | ||||||
\(327\) | −6.64194 | − | 3.73778i | −0.367300 | − | 0.206700i | ||||
\(328\) | −15.3976 | − | 4.12576i | −0.850188 | − | 0.227807i | ||||
\(329\) | −3.28529 | − | 1.54206i | −0.181124 | − | 0.0850164i | ||||
\(330\) | −5.34503 | − | 2.99080i | −0.294234 | − | 0.164638i | ||||
\(331\) | 3.16197 | + | 5.47670i | 0.173798 | + | 0.301027i | 0.939745 | − | 0.341877i | \(-0.111063\pi\) |
−0.765947 | + | 0.642904i | \(0.777729\pi\) | |||||||
\(332\) | 2.01494 | + | 0.539902i | 0.110584 | + | 0.0296310i | ||||
\(333\) | 8.19134 | − | 33.5067i | 0.448882 | − | 1.83615i | ||||
\(334\) | −13.7831 | − | 7.95765i | −0.754175 | − | 0.435423i | ||||
\(335\) | −5.25314 | − | 3.01585i | −0.287010 | − | 0.164774i | ||||
\(336\) | −0.123535 | + | 0.149789i | −0.00673941 | + | 0.00817168i | ||||
\(337\) | −1.79722 | + | 6.70733i | −0.0979010 | + | 0.365371i | −0.997443 | − | 0.0714622i | \(-0.977233\pi\) |
0.899542 | + | 0.436834i | \(0.143900\pi\) | |||||||
\(338\) | 4.05782 | + | 4.05782i | 0.220716 | + | 0.220716i | ||||
\(339\) | 19.0186 | − | 5.32126i | 1.03295 | − | 0.289011i | ||||
\(340\) | −0.0131839 | − | 5.40897i | −0.000714995 | − | 0.293343i | ||||
\(341\) | 10.1303 | + | 5.84871i | 0.548585 | + | 0.316726i | ||||
\(342\) | 20.3175 | − | 5.92679i | 1.09865 | − | 0.320484i | ||||
\(343\) | −15.9685 | − | 9.38126i | −0.862216 | − | 0.506540i | ||||
\(344\) | 7.20684 | − | 12.4826i | 0.388567 | − | 0.673017i | ||||
\(345\) | 26.8621 | − | 15.9945i | 1.44621 | − | 0.861117i | ||||
\(346\) | 4.93476 | − | 8.54726i | 0.265294 | − | 0.459503i | ||||
\(347\) | 4.80065 | + | 17.9163i | 0.257713 | + | 0.961796i | 0.966561 | + | 0.256436i | \(0.0825482\pi\) |
−0.708849 | + | 0.705361i | \(0.750785\pi\) | |||||||
\(348\) | −2.53554 | − | 1.42689i | −0.135919 | − | 0.0764891i | ||||
\(349\) | −6.81395 | − | 3.93404i | −0.364743 | − | 0.210584i | 0.306417 | − | 0.951898i | \(-0.400870\pi\) |
−0.671159 | + | 0.741313i | \(0.734203\pi\) | |||||||
\(350\) | −4.83163 | + | 10.4254i | −0.258261 | + | 0.557261i | ||||
\(351\) | 12.7962 | + | 2.97928i | 0.683012 | + | 0.159022i | ||||
\(352\) | −9.98013 | + | 2.67417i | −0.531943 | + | 0.142534i | ||||
\(353\) | 24.3001 | + | 24.3001i | 1.29336 | + | 1.29336i | 0.932693 | + | 0.360671i | \(0.117452\pi\) |
0.360671 | + | 0.932693i | \(0.382548\pi\) | |||||||
\(354\) | −1.94386 | − | 0.497969i | −0.103315 | − | 0.0264668i | ||||
\(355\) | −11.8286 | + | 11.8864i | −0.627796 | + | 0.630864i | ||||
\(356\) | −2.28626 | + | 1.31997i | −0.121172 | + | 0.0699585i | ||||
\(357\) | −0.850962 | − | 8.85921i | −0.0450377 | − | 0.468879i | ||||
\(358\) | 2.99070 | + | 11.1615i | 0.158064 | + | 0.589901i | ||||
\(359\) | −3.88902 | + | 6.73597i | −0.205254 | + | 0.355511i | −0.950214 | − | 0.311599i | \(-0.899136\pi\) |
0.744959 | + | 0.667110i | \(0.232469\pi\) | |||||||
\(360\) | 16.6038 | + | 9.05194i | 0.875100 | + | 0.477079i | ||||
\(361\) | 23.4830 | + | 40.6737i | 1.23595 | + | 2.14072i | ||||
\(362\) | 8.67737 | + | 2.32510i | 0.456073 | + | 0.122204i | ||||
\(363\) | −6.78216 | − | 11.4538i | −0.355971 | − | 0.601167i | ||||
\(364\) | 4.76196 | + | 6.83743i | 0.249594 | + | 0.358379i | ||||
\(365\) | −3.54189 | − | 6.10034i | −0.185391 | − | 0.319306i | ||||
\(366\) | 5.83003 | − | 5.95992i | 0.304741 | − | 0.311530i | ||||
\(367\) | −7.99648 | − | 7.99648i | −0.417413 | − | 0.417413i | 0.466898 | − | 0.884311i | \(-0.345371\pi\) |
−0.884311 | + | 0.466898i | \(0.845371\pi\) | |||||||
\(368\) | 0.0885188 | − | 0.330357i | 0.00461436 | − | 0.0172210i | ||||
\(369\) | −0.373736 | − | 16.9596i | −0.0194559 | − | 0.882883i | ||||
\(370\) | −15.8294 | − | 15.7524i | −0.822930 | − | 0.818928i | ||||
\(371\) | 9.32495 | − | 19.8664i | 0.484127 | − | 1.03141i | ||||
\(372\) | −12.0790 | − | 6.79750i | −0.626267 | − | 0.352434i | ||||
\(373\) | −14.7928 | + | 14.7928i | −0.765945 | + | 0.765945i | −0.977390 | − | 0.211445i | \(-0.932183\pi\) |
0.211445 | + | 0.977390i | \(0.432183\pi\) | |||||||
\(374\) | 1.53568 | − | 2.65988i | 0.0794084 | − | 0.137539i | ||||
\(375\) | −18.7938 | − | 4.66834i | −0.970507 | − | 0.241072i | ||||
\(376\) | 1.93348 | + | 3.34888i | 0.0997115 | + | 0.172705i | ||||
\(377\) | −2.41129 | + | 2.41129i | −0.124188 | + | 0.124188i | ||||
\(378\) | 10.9715 | + | 4.71396i | 0.564316 | + | 0.242460i | ||||
\(379\) | − | 2.59857i | − | 0.133480i | −0.997770 | − | 0.0667398i | \(-0.978740\pi\) | ||
0.997770 | − | 0.0667398i | \(-0.0212597\pi\) | |||||||
\(380\) | −5.80126 | + | 21.8636i | −0.297599 | + | 1.12158i | ||||
\(381\) | −1.36315 | + | 5.32113i | −0.0698361 | + | 0.272610i | ||||
\(382\) | −4.12972 | + | 1.10655i | −0.211295 | + | 0.0566163i | ||||
\(383\) | −5.88623 | − | 5.88623i | −0.300772 | − | 0.300772i | 0.540544 | − | 0.841316i | \(-0.318219\pi\) |
−0.841316 | + | 0.540544i | \(0.818219\pi\) | |||||||
\(384\) | 11.9126 | − | 3.33306i | 0.607914 | − | 0.170090i | ||||
\(385\) | 8.82376 | − | 6.17734i | 0.449700 | − | 0.314826i | ||||
\(386\) | 19.9782i | 1.01686i | ||||||||
\(387\) | 14.8999 | + | 3.64256i | 0.757405 | + | 0.185162i | ||||
\(388\) | 8.45886 | + | 2.26654i | 0.429433 | + | 0.115066i | ||||
\(389\) | −7.43239 | −0.376837 | −0.188419 | − | 0.982089i | \(-0.560336\pi\) | ||||
−0.188419 | + | 0.982089i | \(0.560336\pi\) | |||||||
\(390\) | 5.93327 | − | 6.09511i | 0.300443 | − | 0.308638i | ||||
\(391\) | 7.83863 | + | 13.5769i | 0.396417 | + | 0.686614i | ||||
\(392\) | 8.24942 | + | 17.9266i | 0.416659 | + | 0.905428i | ||||
\(393\) | 9.47702 | − | 5.61166i | 0.478052 | − | 0.283071i | ||||
\(394\) | 4.75291 | − | 2.74409i | 0.239448 | − | 0.138245i | ||||
\(395\) | 20.7563 | + | 5.50745i | 1.04436 | + | 0.277110i | ||||
\(396\) | −3.53048 | − | 5.81522i | −0.177414 | − | 0.292226i | ||||
\(397\) | 10.1281 | − | 2.71381i | 0.508314 | − | 0.136202i | 0.00445818 | − | 0.999990i | \(-0.498581\pi\) |
0.503856 | + | 0.863788i | \(0.331914\pi\) | |||||||
\(398\) | 1.32594 | − | 0.355284i | 0.0664633 | − | 0.0178088i | ||||
\(399\) | −6.15153 | + | 36.7075i | −0.307961 | + | 1.83768i | ||||
\(400\) | −0.182945 | + | 0.106816i | −0.00914724 | + | 0.00534078i | ||||
\(401\) | − | 29.5055i | − | 1.47344i | −0.676200 | − | 0.736718i | \(-0.736375\pi\) | ||
0.676200 | − | 0.736718i | \(-0.263625\pi\) | |||||||
\(402\) | 2.07649 | + | 3.50680i | 0.103566 | + | 0.174903i | ||||
\(403\) | −11.4871 | + | 11.4871i | −0.572211 | + | 0.572211i | ||||
\(404\) | 1.93803 | − | 3.35677i | 0.0964206 | − | 0.167005i | ||||
\(405\) | −4.29934 | + | 19.6600i | −0.213636 | + | 0.976913i | ||||
\(406\) | −2.54333 | + | 1.77131i | −0.126223 | + | 0.0879088i | ||||
\(407\) | 5.41801 | + | 20.2203i | 0.268561 | + | 1.00228i | ||||
\(408\) | −4.65077 | + | 8.26430i | −0.230247 | + | 0.409144i | ||||
\(409\) | −0.630879 | − | 0.364238i | −0.0311950 | − | 0.0180104i | 0.484321 | − | 0.874890i | \(-0.339067\pi\) |
−0.515516 | + | 0.856880i | \(0.672400\pi\) | |||||||
\(410\) | −9.52464 | − | 5.46814i | −0.470389 | − | 0.270052i | ||||
\(411\) | 37.1028 | + | 9.50484i | 1.83014 | + | 0.468839i | ||||
\(412\) | −8.02655 | + | 2.15071i | −0.395440 | + | 0.105958i | ||||
\(413\) | 2.27511 | − | 2.69751i | 0.111951 | − | 0.132736i | ||||
\(414\) | −21.0295 | + | 0.463423i | −1.03355 | + | 0.0227760i | ||||
\(415\) | 3.24782 | + | 1.86459i | 0.159429 | + | 0.0915292i | ||||
\(416\) | − | 14.3491i | − | 0.703525i | ||||||
\(417\) | 17.3450 | + | 9.76094i | 0.849386 | + | 0.477995i | ||||
\(418\) | −9.08233 | + | 9.08233i | −0.444231 | + | 0.444231i | ||||
\(419\) | 13.8737 | + | 24.0300i | 0.677777 | + | 1.17394i | 0.975649 | + | 0.219338i | \(0.0703896\pi\) |
−0.297872 | + | 0.954606i | \(0.596277\pi\) | |||||||
\(420\) | −10.3740 | + | 7.43428i | −0.506201 | + | 0.362756i | ||||
\(421\) | 8.66460 | − | 15.0075i | 0.422287 | − | 0.731422i | −0.573876 | − | 0.818942i | \(-0.694561\pi\) |
0.996163 | + | 0.0875200i | \(0.0278942\pi\) | |||||||
\(422\) | 1.53826 | + | 5.74086i | 0.0748813 | + | 0.279461i | ||||
\(423\) | −2.84501 | + | 2.97323i | −0.138329 | + | 0.144563i | ||||
\(424\) | −20.2510 | + | 11.6919i | −0.983474 | + | 0.567809i | ||||
\(425\) | 2.46755 | − | 9.39194i | 0.119694 | − | 0.455576i | ||||
\(426\) | 10.8653 | − | 3.04002i | 0.526425 | − | 0.147290i | ||||
\(427\) | 4.97987 | + | 13.7902i | 0.240993 | + | 0.667356i | ||||
\(428\) | −4.32331 | + | 16.1348i | −0.208975 | + | 0.779906i | ||||
\(429\) | −7.67867 | + | 2.14843i | −0.370730 | + | 0.103727i | ||||
\(430\) | 7.00486 | − | 7.03909i | 0.337804 | − | 0.339455i | ||||
\(431\) | −33.3290 | + | 19.2425i | −1.60540 | + | 0.926880i | −0.615022 | + | 0.788510i | \(0.710853\pi\) |
−0.990381 | + | 0.138369i | \(0.955814\pi\) | |||||||
\(432\) | 0.116318 | + | 0.186919i | 0.00559635 | + | 0.00899315i | ||||
\(433\) | 20.9565 | − | 20.9565i | 1.00710 | − | 1.00710i | 0.00712867 | − | 0.999975i | \(-0.497731\pi\) |
0.999975 | − | 0.00712867i | \(-0.00226915\pi\) | |||||||
\(434\) | −12.1161 | + | 8.43832i | −0.581592 | + | 0.405052i | ||||
\(435\) | −3.74280 | − | 3.64342i | −0.179454 | − | 0.174689i | ||||
\(436\) | −5.48060 | −0.262473 | ||||||||
\(437\) | −16.9686 | − | 63.3278i | −0.811719 | − | 3.02938i | ||||
\(438\) | 0.0522847 | + | 4.74579i | 0.00249826 | + | 0.226763i | ||||
\(439\) | 8.64081 | − | 4.98878i | 0.412403 | − | 0.238101i | −0.279418 | − | 0.960169i | \(-0.590142\pi\) |
0.691822 | + | 0.722068i | \(0.256808\pi\) | |||||||
\(440\) | −11.4768 | + | 0.0279736i | −0.547135 | + | 0.00133359i | ||||
\(441\) | −15.8553 | + | 13.7699i | −0.755015 | + | 0.655707i | ||||
\(442\) | 3.01613 | + | 3.01613i | 0.143463 | + | 0.143463i | ||||
\(443\) | −3.82356 | + | 14.2697i | −0.181663 | + | 0.677975i | 0.813657 | + | 0.581345i | \(0.197473\pi\) |
−0.995320 | + | 0.0966305i | \(0.969193\pi\) | |||||||
\(444\) | −6.68337 | − | 23.8869i | −0.317179 | − | 1.13362i | ||||
\(445\) | −4.57496 | + | 1.23782i | −0.216874 | + | 0.0586782i | ||||
\(446\) | 9.75562i | 0.461942i | ||||||||
\(447\) | 13.9901 | + | 23.6266i | 0.661711 | + | 1.11750i | ||||
\(448\) | 2.25758 | − | 12.6172i | 0.106661 | − | 0.596105i | ||||
\(449\) | −4.29598 | −0.202740 | −0.101370 | − | 0.994849i | \(-0.532323\pi\) | ||||
−0.101370 | + | 0.994849i | \(0.532323\pi\) | |||||||
\(450\) | 9.45751 | + | 8.96176i | 0.445831 | + | 0.422461i | ||||
\(451\) | 5.14754 | + | 8.91579i | 0.242388 | + | 0.419828i | ||||
\(452\) | 10.0420 | − | 10.0420i | 0.472337 | − | 0.472337i | ||||
\(453\) | −2.92042 | − | 4.93202i | −0.137213 | − | 0.231727i | ||||
\(454\) | −2.90490 | + | 1.67715i | −0.136334 | + | 0.0787124i | ||||
\(455\) | 5.11501 | + | 14.0571i | 0.239795 | + | 0.659008i | ||||
\(456\) | 27.7317 | − | 28.3495i | 1.29865 | − | 1.32759i | ||||
\(457\) | −1.04358 | + | 3.89470i | −0.0488167 | + | 0.182186i | −0.986029 | − | 0.166572i | \(-0.946730\pi\) |
0.937213 | + | 0.348759i | \(0.113397\pi\) | |||||||
\(458\) | 2.18998 | − | 8.17312i | 0.102331 | − | 0.381905i | ||||
\(459\) | −9.82876 | − | 2.28838i | −0.458767 | − | 0.106812i | ||||
\(460\) | 11.1933 | − | 19.4970i | 0.521890 | − | 0.909051i | ||||
\(461\) | 0.990434 | + | 0.571828i | 0.0461291 | + | 0.0266327i | 0.522887 | − | 0.852402i | \(-0.324855\pi\) |
−0.476758 | + | 0.879035i | \(0.658188\pi\) | |||||||
\(462\) | −7.21386 | + | 0.692920i | −0.335619 | + | 0.0322376i | ||||
\(463\) | 13.7792 | + | 3.69213i | 0.640374 | + | 0.171588i | 0.564373 | − | 0.825520i | \(-0.309118\pi\) |
0.0760011 | + | 0.997108i | \(0.475785\pi\) | |||||||
\(464\) | −0.0571412 | −0.00265271 | ||||||||
\(465\) | −17.8302 | − | 17.3568i | −0.826857 | − | 0.804902i | ||||
\(466\) | −15.4874 | −0.717441 | ||||||||
\(467\) | 2.22392 | + | 8.29977i | 0.102911 | + | 0.384068i | 0.998100 | − | 0.0616188i | \(-0.0196263\pi\) |
−0.895189 | + | 0.445686i | \(0.852960\pi\) | |||||||
\(468\) | 9.06988 | − | 2.64576i | 0.419256 | − | 0.122300i | ||||
\(469\) | −7.14137 | + | 0.606638i | −0.329758 | + | 0.0280120i | ||||
\(470\) | 0.695820 | + | 2.57175i | 0.0320958 | + | 0.118626i | ||||
\(471\) | 14.6587 | + | 14.3392i | 0.675435 | + | 0.660715i | ||||
\(472\) | −3.63190 | + | 0.973165i | −0.167172 | + | 0.0447936i | ||||
\(473\) | −8.99166 | + | 2.40931i | −0.413437 | + | 0.110780i | ||||
\(474\) | −10.3286 | − | 10.1035i | −0.474407 | − | 0.464068i | ||||
\(475\) | −20.1332 | + | 35.2676i | −0.923773 | + | 1.61819i | ||||
\(476\) | −3.65765 | − | 5.25182i | −0.167648 | − | 0.240717i | ||||
\(477\) | −17.9794 | − | 17.2041i | −0.823219 | − | 0.787719i | ||||
\(478\) | 3.46489 | + | 12.9312i | 0.158481 | + | 0.591457i | ||||
\(479\) | 9.59399 | 0.438360 | 0.219180 | − | 0.975684i | \(-0.429662\pi\) | ||||
0.219180 | + | 0.975684i | \(0.429662\pi\) | |||||||
\(480\) | 21.9771 | − | 0.295698i | 1.00311 | − | 0.0134967i | ||||
\(481\) | −29.0722 | −1.32558 | ||||||||
\(482\) | −13.0089 | − | 3.48573i | −0.592541 | − | 0.158771i | ||||
\(483\) | 15.3479 | − | 33.6571i | 0.698354 | − | 1.53145i | ||||
\(484\) | −8.28966 | − | 4.78604i | −0.376803 | − | 0.217547i | ||||
\(485\) | 13.6346 | + | 7.82767i | 0.619114 | + | 0.355436i | ||||
\(486\) | 9.03276 | − | 10.0870i | 0.409734 | − | 0.457555i | ||||
\(487\) | −6.58622 | + | 24.5801i | −0.298450 | + | 1.11383i | 0.639988 | + | 0.768385i | \(0.278939\pi\) |
−0.938438 | + | 0.345447i | \(0.887727\pi\) | |||||||
\(488\) | 4.04337 | − | 15.0901i | 0.183035 | − | 0.683095i | ||||
\(489\) | 15.1661 | − | 15.5040i | 0.685835 | − | 0.701115i | ||||
\(490\) | 2.32596 | + | 13.3954i | 0.105076 | + | 0.605143i | ||||
\(491\) | −4.20245 | + | 2.42629i | −0.189654 | + | 0.109497i | −0.591821 | − | 0.806070i | \(-0.701591\pi\) |
0.402167 | + | 0.915567i | \(0.368257\pi\) | |||||||
\(492\) | −6.21534 | − | 10.4965i | −0.280209 | − | 0.473220i | ||||
\(493\) | 1.85210 | − | 1.85210i | 0.0834146 | − | 0.0834146i | ||||
\(494\) | −8.91900 | − | 15.4482i | −0.401285 | − | 0.695045i | ||||
\(495\) | −3.44876 | − | 11.7163i | −0.155010 | − | 0.526610i | ||||
\(496\) | −0.272214 | −0.0122228 | ||||||||
\(497\) | −3.49471 | + | 19.5312i | −0.156759 | + | 0.876095i | ||||
\(498\) | −1.28382 | − | 2.16813i | −0.0575294 | − | 0.0971560i | ||||
\(499\) | 11.9390i | 0.534465i | 0.963632 | + | 0.267232i | \(0.0861091\pi\) | ||||
−0.963632 | + | 0.267232i | \(0.913891\pi\) | |||||||
\(500\) | −13.4242 | + | 3.70241i | −0.600346 | + | 0.165577i | ||||
\(501\) | −8.55109 | − | 30.5623i | −0.382034 | − | 1.36542i | ||||
\(502\) | −4.30768 | + | 16.0765i | −0.192261 | + | 0.717529i | ||||
\(503\) | −25.9368 | − | 25.9368i | −1.15646 | − | 1.15646i | −0.985230 | − | 0.171234i | \(-0.945224\pi\) |
−0.171234 | − | 0.985230i | \(-0.554776\pi\) | |||||||
\(504\) | 22.2483 | − | 2.38468i | 0.991020 | − | 0.106222i | ||||
\(505\) | 4.90849 | − | 4.93248i | 0.218425 | − | 0.219492i | ||||
\(506\) | 11.0554 | − | 6.38282i | 0.491471 | − | 0.283751i | ||||
\(507\) | 0.126062 | + | 11.4424i | 0.00559861 | + | 0.508176i | ||||
\(508\) | 1.02234 | + | 3.81541i | 0.0453588 | + | 0.169281i | ||||
\(509\) | −20.5076 | −0.908982 | −0.454491 | − | 0.890751i | \(-0.650179\pi\) | ||||
−0.454491 | + | 0.890751i | \(0.650179\pi\) | |||||||
\(510\) | −4.55734 | + | 4.68165i | −0.201802 | + | 0.207307i | ||||
\(511\) | −7.55550 | − | 3.54642i | −0.334236 | − | 0.156884i | ||||
\(512\) | 0.338935 | − | 0.338935i | 0.0149790 | − | 0.0149790i | ||||
\(513\) | 37.2261 | + | 19.8822i | 1.64357 | + | 0.877820i | ||||
\(514\) | 0.926881 | − | 0.535135i | 0.0408829 | − | 0.0236038i | ||||
\(515\) | −14.9182 | + | 0.0363618i | −0.657376 | + | 0.00160229i | ||||
\(516\) | 10.6222 | − | 2.97200i | 0.467614 | − | 0.130835i | ||||
\(517\) | 0.646378 | − | 2.41232i | 0.0284277 | − | 0.106093i | ||||
\(518\) | −26.0102 | − | 4.65399i | −1.14282 | − | 0.204485i | ||||
\(519\) | 18.9525 | − | 5.30277i | 0.831923 | − | 0.232766i | ||||
\(520\) | 4.08773 | − | 15.4057i | 0.179259 | − | 0.675585i | ||||
\(521\) | −34.6603 | + | 20.0111i | −1.51849 | + | 0.876702i | −0.518730 | + | 0.854938i | \(0.673595\pi\) |
−0.999763 | + | 0.0217643i | \(0.993072\pi\) | |||||||
\(522\) | 0.984149 | + | 3.37374i | 0.0430750 | + | 0.147665i | ||||
\(523\) | 2.03264 | + | 7.58591i | 0.0888810 | + | 0.331708i | 0.996021 | − | 0.0891209i | \(-0.0284058\pi\) |
−0.907140 | + | 0.420829i | \(0.861739\pi\) | |||||||
\(524\) | 3.96004 | − | 6.85899i | 0.172995 | − | 0.299636i | ||||
\(525\) | −21.4244 | + | 8.12380i | −0.935036 | + | 0.354552i | ||||
\(526\) | 2.90051 | + | 5.02384i | 0.126468 | + | 0.219050i | ||||
\(527\) | 8.82319 | − | 8.82319i | 0.384344 | − | 0.384344i | ||||
\(528\) | −0.116438 | − | 0.0655261i | −0.00506733 | − | 0.00285166i | ||||
\(529\) | 42.1600i | 1.83304i | ||||||||
\(530\) | −15.5516 | + | 4.20769i | −0.675517 | + | 0.182770i | ||||
\(531\) | −2.07652 | − | 3.42033i | −0.0901133 | − | 0.148430i | ||||
\(532\) | 9.09054 | + | 25.1735i | 0.394125 | + | 1.09141i | ||||
\(533\) | −13.8104 | + | 3.70049i | −0.598196 | + | 0.160286i | ||||
\(534\) | 3.08905 | + | 0.791341i | 0.133676 | + | 0.0342447i | ||||
\(535\) | −14.9309 | + | 26.0072i | −0.645518 | + | 1.12439i | ||||
\(536\) | 6.61352 | + | 3.81832i | 0.285660 | + | 0.164926i | ||||
\(537\) | −11.3003 | + | 20.0804i | −0.487645 | + | 0.866533i | ||||
\(538\) | 4.92111 | + | 18.3658i | 0.212164 | + | 0.791807i | ||||
\(539\) | 4.41929 | − | 11.9539i | 0.190352 | − | 0.514890i | ||||
\(540\) | 4.23914 | + | 13.8369i | 0.182423 | + | 0.595443i | ||||
\(541\) | 1.79252 | − | 3.10474i | 0.0770665 | − | 0.133483i | −0.824917 | − | 0.565255i | \(-0.808778\pi\) |
0.901983 | + | 0.431771i | \(0.142111\pi\) | |||||||
\(542\) | −16.0288 | + | 16.0288i | −0.688497 | + | 0.688497i | ||||
\(543\) | 9.12714 | + | 15.4140i | 0.391683 | + | 0.661477i | ||||
\(544\) | 11.0216i | 0.472545i | ||||||||
\(545\) | −9.51016 | − | 2.52341i | −0.407370 | − | 0.108091i | ||||
\(546\) | 1.66345 | − | 9.92616i | 0.0711890 | − | 0.424801i | ||||
\(547\) | 36.9431 | − | 9.89888i | 1.57957 | − | 0.423246i | 0.640780 | − | 0.767725i | \(-0.278611\pi\) |
0.938794 | + | 0.344479i | \(0.111944\pi\) | |||||||
\(548\) | 26.6038 | − | 7.12846i | 1.13646 | − | 0.304513i | ||||
\(549\) | 16.6209 | − | 0.366272i | 0.709364 | − | 0.0156321i | ||||
\(550\) | −7.64765 | − | 2.00928i | −0.326097 | − | 0.0856758i | ||||
\(551\) | −9.48618 | + | 5.47685i | −0.404125 | + | 0.233322i | ||||
\(552\) | −33.9150 | + | 20.0822i | −1.44352 | + | 0.854756i | ||||
\(553\) | 23.8985 | − | 8.63013i | 1.01627 | − | 0.366991i | ||||
\(554\) | 1.65164 | + | 2.86073i | 0.0701716 | + | 0.121541i | ||||
\(555\) | −0.599100 | − | 44.5268i | −0.0254304 | − | 1.89006i | ||||
\(556\) | 14.3122 | 0.606972 | ||||||||
\(557\) | 21.7443 | + | 5.82636i | 0.921334 | + | 0.246871i | 0.688155 | − | 0.725563i | \(-0.258421\pi\) |
0.233178 | + | 0.972434i | \(0.425087\pi\) | |||||||
\(558\) | 4.68836 | + | 16.0721i | 0.198474 | + | 0.680385i | ||||
\(559\) | − | 12.9280i | − | 0.546794i | ||||||
\(560\) | −0.105952 | + | 0.227165i | −0.00447730 | + | 0.00959947i | ||||
\(561\) | 5.89797 | − | 1.65021i | 0.249013 | − | 0.0696718i | ||||
\(562\) | 11.8184 | + | 11.8184i | 0.498527 | + | 0.498527i | ||||
\(563\) | −24.6841 | + | 6.61409i | −1.04031 | + | 0.278751i | −0.738243 | − | 0.674535i | \(-0.764344\pi\) |
−0.302069 | + | 0.953286i | \(0.597677\pi\) | |||||||
\(564\) | −0.734360 | + | 2.86662i | −0.0309221 | + | 0.120707i | ||||
\(565\) | 22.0489 | − | 12.8017i | 0.927605 | − | 0.538572i | ||||
\(566\) | − | 0.347145i | − | 0.0145916i | ||||||
\(567\) | 9.06638 | + | 22.0182i | 0.380752 | + | 0.924677i | ||||
\(568\) | 14.9492 | − | 14.9492i | 0.627253 | − | 0.627253i | ||||
\(569\) | 1.81934 | + | 3.15119i | 0.0762708 | + | 0.132105i | 0.901638 | − | 0.432491i | \(-0.142365\pi\) |
−0.825367 | + | 0.564596i | \(0.809032\pi\) | |||||||
\(570\) | 23.4765 | − | 13.9786i | 0.983322 | − | 0.585500i | ||||
\(571\) | −8.03818 | + | 13.9225i | −0.336388 | + | 0.582640i | −0.983750 | − | 0.179542i | \(-0.942539\pi\) |
0.647363 | + | 0.762182i | \(0.275872\pi\) | |||||||
\(572\) | −4.05442 | + | 4.05442i | −0.169524 | + | 0.169524i | ||||
\(573\) | −7.42971 | − | 4.18110i | −0.310381 | − | 0.174668i | ||||
\(574\) | −12.9483 | + | 1.09992i | −0.540450 | + | 0.0459096i | ||||
\(575\) | 28.4000 | − | 28.6782i | 1.18436 | − | 1.19596i | ||||
\(576\) | −12.7436 | − | 6.98780i | −0.530985 | − | 0.291158i | ||||
\(577\) | 7.58094 | − | 28.2925i | 0.315599 | − | 1.17783i | −0.607832 | − | 0.794066i | \(-0.707961\pi\) |
0.923431 | − | 0.383765i | \(-0.125373\pi\) | |||||||
\(578\) | 8.12468 | + | 8.12468i | 0.337942 | + | 0.337942i | ||||
\(579\) | −27.8574 | + | 28.4780i | −1.15771 | + | 1.18351i | ||||
\(580\) | −3.63047 | − | 0.963304i | −0.150747 | − | 0.0399990i | ||||
\(581\) | 4.41525 | − | 0.375062i | 0.183175 | − | 0.0155602i | ||||
\(582\) | −5.38956 | − | 9.10193i | −0.223404 | − | 0.377287i | ||||
\(583\) | 14.5875 | + | 3.90870i | 0.604152 | + | 0.161882i | ||||
\(584\) | 4.44661 | + | 7.70175i | 0.184002 | + | 0.318701i | ||||
\(585\) | 16.9566 | − | 0.415022i | 0.701069 | − | 0.0171590i | ||||
\(586\) | 6.18323 | − | 10.7097i | 0.255427 | − | 0.442412i | ||||
\(587\) | −6.73975 | − | 25.1531i | −0.278179 | − | 1.03818i | −0.953681 | − | 0.300820i | \(-0.902740\pi\) |
0.675502 | − | 0.737358i | \(-0.263927\pi\) | |||||||
\(588\) | −5.08008 | + | 14.2210i | −0.209499 | + | 0.586465i | ||||
\(589\) | −45.1910 | + | 26.0910i | −1.86206 | + | 1.07506i | ||||
\(590\) | −2.59054 | + | 0.00631419i | −0.106651 | + | 0.000259951i | ||||
\(591\) | 10.6014 | + | 2.71583i | 0.436084 | + | 0.111714i | ||||
\(592\) | −0.344468 | − | 0.344468i | −0.0141575 | − | 0.0141575i | ||||
\(593\) | −0.189983 | + | 0.0509058i | −0.00780166 | + | 0.00209045i | −0.262718 | − | 0.964873i | \(-0.584619\pi\) |
0.254916 | + | 0.966963i | \(0.417952\pi\) | |||||||
\(594\) | −1.86338 | + | 8.00334i | −0.0764552 | + | 0.328381i | ||||
\(595\) | −3.92883 | − | 10.7972i | −0.161066 | − | 0.442644i | ||||
\(596\) | 17.0998 | + | 9.87256i | 0.700434 | + | 0.404396i | ||||
\(597\) | 2.38548 | + | 1.34244i | 0.0976311 | + | 0.0549422i | ||||
\(598\) | 4.58852 | + | 17.1246i | 0.187639 | + | 0.700277i | ||||
\(599\) | 11.0983 | − | 19.2229i | 0.453466 | − | 0.785426i | −0.545133 | − | 0.838350i | \(-0.683521\pi\) |
0.998599 | + | 0.0529240i | \(0.0168541\pi\) | |||||||
\(600\) | 23.6795 | + | 5.94327i | 0.966712 | + | 0.242633i | ||||
\(601\) | 1.79376 | − | 3.10689i | 0.0731691 | − | 0.126733i | −0.827120 | − | 0.562026i | \(-0.810022\pi\) |
0.900289 | + | 0.435293i | \(0.143355\pi\) | |||||||
\(602\) | 2.06956 | − | 11.5663i | 0.0843490 | − | 0.471409i | ||||
\(603\) | −1.92990 | + | 7.89424i | −0.0785915 | + | 0.321478i | ||||
\(604\) | −3.56955 | − | 2.06088i | −0.145243 | − | 0.0838560i | ||||
\(605\) | −12.1809 | − | 12.1217i | −0.495226 | − | 0.492817i | ||||
\(606\) | −4.50875 | + | 1.26151i | −0.183156 | + | 0.0512455i | ||||
\(607\) | −28.9442 | − | 28.9442i | −1.17481 | − | 1.17481i | −0.981049 | − | 0.193757i | \(-0.937933\pi\) |
−0.193757 | − | 0.981049i | \(-0.562067\pi\) | |||||||
\(608\) | 11.9294 | − | 44.5212i | 0.483802 | − | 1.80557i | ||||
\(609\) | −6.09532 | − | 1.02147i | −0.246995 | − | 0.0413919i | ||||
\(610\) | 5.35894 | − | 9.33443i | 0.216977 | − | 0.377940i | ||||
\(611\) | 3.00369 | + | 1.73418i | 0.121516 | + | 0.0701574i | ||||
\(612\) | −6.96656 | + | 2.03221i | −0.281607 | + | 0.0821470i | ||||
\(613\) | 0.00280864 | 0.000752574i | 0.000113440 | 3.03962e-5i | 0.258876 | − | 0.965911i | \(-0.416648\pi\) | ||
−0.258762 | + | 0.965941i | \(0.583315\pi\) | |||||||
\(614\) | 12.9030 | + | 22.3487i | 0.520723 | + | 0.901919i | ||||
\(615\) | −5.95224 | − | 21.0757i | −0.240018 | − | 0.849854i | ||||
\(616\) | −11.1433 | + | 7.76083i | −0.448978 | + | 0.312693i | ||||
\(617\) | 9.69935 | + | 2.59893i | 0.390481 | + | 0.104629i | 0.448717 | − | 0.893674i | \(-0.351881\pi\) |
−0.0582362 | + | 0.998303i | \(0.518548\pi\) | |||||||
\(618\) | 8.74733 | + | 4.92259i | 0.351869 | + | 0.198016i | ||||
\(619\) | − | 33.2385i | − | 1.33597i | −0.744176 | − | 0.667983i | \(-0.767158\pi\) | ||
0.744176 | − | 0.667983i | \(-0.232842\pi\) | |||||||
\(620\) | −17.2951 | − | 4.58906i | −0.694589 | − | 0.184301i | ||||
\(621\) | −30.6229 | − | 28.6628i | −1.22886 | − | 1.15020i | ||||
\(622\) | −6.71731 | − | 6.71731i | −0.269340 | − | 0.269340i | ||||
\(623\) | −3.61545 | + | 4.28672i | −0.144850 | + | 0.171744i | ||||
\(624\) | 0.129754 | − | 0.132644i | 0.00519430 | − | 0.00531003i | ||||
\(625\) | −24.9988 | + | 0.243736i | −0.999952 | + | 0.00974945i | ||||
\(626\) | 2.35581 | + | 1.36013i | 0.0941571 | + | 0.0543616i | ||||
\(627\) | −25.6108 | + | 0.282156i | −1.02280 | + | 0.0112682i | ||||
\(628\) | 14.2433 | + | 3.81649i | 0.568371 | + | 0.152294i | ||||
\(629\) | 22.3303 | 0.890367 | ||||||||
\(630\) | 15.2371 | + | 2.34317i | 0.607062 | + | 0.0933543i | ||||
\(631\) | −35.7978 | −1.42509 | −0.712545 | − | 0.701627i | \(-0.752457\pi\) | ||||
−0.712545 | + | 0.701627i | \(0.752457\pi\) | |||||||
\(632\) | −26.1511 | − | 7.00718i | −1.04024 | − | 0.278731i | ||||
\(633\) | −5.81229 | + | 10.3283i | −0.231018 | + | 0.410513i | ||||
\(634\) | −1.65811 | − | 0.957313i | −0.0658522 | − | 0.0380198i | ||||
\(635\) | 0.0172845 | + | 7.09136i | 0.000685915 | + | 0.281412i | ||||
\(636\) | −17.3347 | − | 4.44074i | −0.687367 | − | 0.176087i | ||||
\(637\) | 14.4472 | + | 10.2250i | 0.572418 | + | 0.405131i | ||||
\(638\) | −1.50813 | − | 1.50813i | −0.0597074 | − | 0.0597074i | ||||
\(639\) | 19.7270 | + | 10.8170i | 0.780388 | + | 0.427916i | ||||
\(640\) | 13.8107 | − | 8.01857i | 0.545917 | − | 0.316962i | ||||
\(641\) | − | 25.5828i | − | 1.01046i | −0.862985 | − | 0.505229i | \(-0.831408\pi\) | ||
0.862985 | − | 0.505229i | \(-0.168592\pi\) | |||||||
\(642\) | 17.3614 | − | 10.2803i | 0.685202 | − | 0.405731i | ||||
\(643\) | −3.89961 | − | 1.04490i | −0.153786 | − | 0.0412068i | 0.181105 | − | 0.983464i | \(-0.442033\pi\) |
−0.334891 | + | 0.942257i | \(0.608699\pi\) | |||||||
\(644\) | −2.25153 | − | 26.5051i | −0.0887227 | − | 1.04445i | ||||
\(645\) | 19.8004 | − | 0.266411i | 0.779639 | − | 0.0104899i | ||||
\(646\) | 6.85067 | + | 11.8657i | 0.269536 | + | 0.466850i | ||||
\(647\) | 7.38851 | + | 1.97974i | 0.290472 | + | 0.0778318i | 0.401113 | − | 0.916029i | \(-0.368624\pi\) |
−0.110641 | + | 0.993860i | \(0.535290\pi\) | |||||||
\(648\) | 5.48072 | − | 24.7727i | 0.215303 | − | 0.973164i | ||||
\(649\) | 2.10301 | + | 1.21418i | 0.0825505 | + | 0.0476606i | ||||
\(650\) | 5.44425 | − | 9.53679i | 0.213541 | − | 0.374064i | ||||
\(651\) | −29.0373 | − | 4.86613i | −1.13806 | − | 0.190719i | ||||
\(652\) | 4.03658 | − | 15.0647i | 0.158085 | − | 0.589980i | ||||
\(653\) | 17.2252 | + | 17.2252i | 0.674073 | + | 0.674073i | 0.958652 | − | 0.284580i | \(-0.0918541\pi\) |
−0.284580 | + | 0.958652i | \(0.591854\pi\) | |||||||
\(654\) | 4.73236 | + | 4.62922i | 0.185050 | + | 0.181017i | ||||
\(655\) | 10.0297 | − | 10.0787i | 0.391892 | − | 0.393807i | ||||
\(656\) | −0.207482 | − | 0.119790i | −0.00810079 | − | 0.00467700i | ||||
\(657\) | −6.54296 | + | 6.83783i | −0.255265 | + | 0.266769i | ||||
\(658\) | 2.40972 | + | 2.03237i | 0.0939405 | + | 0.0792301i | ||||
\(659\) | −8.50526 | + | 14.7315i | −0.331318 | + | 0.573859i | −0.982770 | − | 0.184830i | \(-0.940827\pi\) |
0.651453 | + | 0.758689i | \(0.274160\pi\) | |||||||
\(660\) | −6.29327 | − | 6.12617i | −0.244965 | − | 0.238461i | ||||
\(661\) | 16.9293 | − | 29.3224i | 0.658473 | − | 1.14051i | −0.322538 | − | 0.946556i | \(-0.604536\pi\) |
0.981011 | − | 0.193952i | \(-0.0621305\pi\) | |||||||
\(662\) | −1.42170 | − | 5.30586i | −0.0552559 | − | 0.206218i | ||||
\(663\) | 0.0937006 | + | 8.50505i | 0.00363903 | + | 0.330309i | ||||
\(664\) | −4.08890 | − | 2.36072i | −0.158680 | − | 0.0916139i | ||||
\(665\) | 4.18375 | + | 47.8676i | 0.162239 | + | 1.85622i | ||||
\(666\) | −14.4053 | + | 26.2709i | −0.558194 | + | 1.01798i | ||||
\(667\) | 10.5156 | − | 2.81765i | 0.407167 | − | 0.109100i | ||||
\(668\) | −16.1372 | − | 16.1372i | −0.624367 | − | 0.624367i | ||||
\(669\) | −13.6031 | + | 13.9062i | −0.525928 | + | 0.537646i | ||||
\(670\) | 3.72944 | + | 3.71130i | 0.144081 | + | 0.143380i | ||||
\(671\) | −8.73774 | + | 5.04474i | −0.337317 | + | 0.194750i | ||||
\(672\) | 21.1754 | − | 15.0968i | 0.816858 | − | 0.582372i | ||||
\(673\) | −2.02056 | − | 7.54082i | −0.0778867 | − | 0.290677i | 0.915986 | − | 0.401211i | \(-0.131411\pi\) |
−0.993872 | + | 0.110534i | \(0.964744\pi\) | |||||||
\(674\) | 3.01577 | − | 5.22348i | 0.116163 | − | 0.201201i | ||||
\(675\) | 0.985075 | + | 25.9621i | 0.0379155 | + | 0.999281i | ||||
\(676\) | 4.11439 | + | 7.12633i | 0.158246 | + | 0.274090i | ||||
\(677\) | −2.37864 | − | 0.637354i | −0.0914185 | − | 0.0244955i | 0.212820 | − | 0.977091i | \(-0.431735\pi\) |
−0.304238 | + | 0.952596i | \(0.598402\pi\) | |||||||
\(678\) | −17.1531 | + | 0.188976i | −0.658760 | + | 0.00725760i | ||||
\(679\) | 18.5355 | − | 1.57453i | 0.711327 | − | 0.0604251i | ||||
\(680\) | −3.13978 | + | 11.8331i | −0.120405 | + | 0.453779i | ||||
\(681\) | −6.47942 | − | 1.65987i | −0.248292 | − | 0.0636064i | ||||
\(682\) | −7.18453 | − | 7.18453i | −0.275110 | − | 0.275110i | ||||
\(683\) | −4.61727 | + | 17.2319i | −0.176675 | + | 0.659360i | 0.819585 | + | 0.572957i | \(0.194204\pi\) |
−0.996260 | + | 0.0864027i | \(0.972463\pi\) | |||||||
\(684\) | 30.3408 | − | 0.668614i | 1.16011 | − | 0.0255651i | ||||
\(685\) | 49.4461 | − | 0.120520i | 1.88924 | − | 0.00460484i | ||||
\(686\) | 11.2887 | + | 11.4609i | 0.431004 | + | 0.437578i | ||||
\(687\) | 14.5183 | − | 8.59675i | 0.553906 | − | 0.327987i | ||||
\(688\) | 0.153180 | − | 0.153180i | 0.00583991 | − | 0.00583991i | ||||
\(689\) | −10.4867 | + | 18.1636i | −0.399513 | + | 0.691976i | ||||
\(690\) | −26.1334 | + | 7.38064i | −0.994880 | + | 0.280976i | ||||
\(691\) | 18.5764 | + | 32.1753i | 0.706680 | + | 1.22401i | 0.966082 | + | 0.258236i | \(0.0831413\pi\) |
−0.259402 | + | 0.965770i | \(0.583525\pi\) | |||||||
\(692\) | 10.0071 | − | 10.0071i | 0.380414 | − | 0.380414i | ||||
\(693\) | −11.2493 | − | 9.07122i | −0.427324 | − | 0.344587i | ||||
\(694\) | − | 16.1112i | − | 0.611572i | ||||||
\(695\) | 24.8351 | + | 6.58970i | 0.942048 | + | 0.249962i | ||||
\(696\) | 4.70746 | + | 4.60486i | 0.178436 | + | 0.174547i | ||||
\(697\) | 10.6078 | − | 2.84234i | 0.401798 | − | 0.107661i | ||||
\(698\) | 4.83256 | + | 4.83256i | 0.182915 | + | 0.182915i | ||||
\(699\) | −22.0767 | − | 21.5955i | −0.835016 | − | 0.816818i | ||||
\(700\) | −10.5613 | + | 12.6468i | −0.399180 | + | 0.478003i | ||||
\(701\) | 21.1047i | 0.797112i | 0.917144 | + | 0.398556i | \(0.130489\pi\) | ||||
−0.917144 | + | 0.398556i | \(0.869511\pi\) | |||||||
\(702\) | −10.0664 | − | 5.37639i | −0.379931 | − | 0.202919i | ||||
\(703\) | −90.2025 | − | 24.1697i | −3.40205 | − | 0.911577i | ||||
\(704\) | 8.82033 | 0.332429 | ||||||||
\(705\) | −2.59416 | + | 4.63616i | −0.0977017 | + | 0.174608i | ||||
\(706\) | −14.9251 | − | 25.8510i | −0.561713 | − | 0.972915i | ||||
\(707\) | 1.45020 | − | 8.10485i | 0.0545403 | − | 0.304814i | ||||
\(708\) | −2.50757 | − | 1.41114i | −0.0942401 | − | 0.0530340i | ||||
\(709\) | 34.6985 | − | 20.0332i | 1.30313 | − | 0.752361i | 0.322189 | − | 0.946675i | \(-0.395581\pi\) |
0.980939 | + | 0.194314i | \(0.0622481\pi\) | |||||||
\(710\) | 12.5965 | − | 7.31359i | 0.472738 | − | 0.274474i | ||||
\(711\) | −0.634751 | − | 28.8041i | −0.0238050 | − | 1.08024i | ||||
\(712\) | 5.77159 | − | 1.54649i | 0.216299 | − | 0.0579573i | ||||
\(713\) | 50.0951 | − | 13.4229i | 1.87608 | − | 0.502693i | ||||
\(714\) | −1.27769 | + | 7.62427i | −0.0478164 | + | 0.285331i | ||||
\(715\) | −8.90214 | + | 5.16863i | −0.332921 | + | 0.193296i | ||||
\(716\) | 16.5693i | 0.619225i | ||||||||
\(717\) | −13.0920 | + | 23.2642i | −0.488931 | + | 0.868819i | ||||
\(718\) | 4.77725 | − | 4.77725i | 0.178285 | − | 0.178285i | ||||
\(719\) | 7.84751 | − | 13.5923i | 0.292663 | − | 0.506907i | −0.681776 | − | 0.731561i | \(-0.738792\pi\) |
0.974438 | + | 0.224655i | \(0.0721253\pi\) | |||||||
\(720\) | 0.205831 | + | 0.195996i | 0.00767088 | + | 0.00730435i | ||||
\(721\) | −14.4848 | + | 10.0880i | −0.539442 | + | 0.375697i | ||||
\(722\) | −10.5585 | − | 39.4049i | −0.392947 | − | 1.46650i | ||||
\(723\) | −13.6832 | − | 23.1083i | −0.508884 | − | 0.859408i | ||||
\(724\) | 11.1559 | + | 6.44084i | 0.414605 | + | 0.239372i | ||||
\(725\) | −5.85621 | − | 3.34313i | −0.217494 | − | 0.124161i | ||||
\(726\) | 3.11536 | + | 11.1345i | 0.115622 | + | 0.413241i | ||||
\(727\) | 19.3802 | − | 5.19291i | 0.718772 | − | 0.192594i | 0.119148 | − | 0.992876i | \(-0.461984\pi\) |
0.599624 | + | 0.800282i | \(0.295317\pi\) | |||||||
\(728\) | −6.40544 | − | 17.7379i | −0.237401 | − | 0.657411i | ||||
\(729\) | 26.9410 | − | 1.78339i | 0.997816 | − | 0.0660515i | ||||
\(730\) | 1.60025 | + | 5.91450i | 0.0592278 | + | 0.218906i | ||||
\(731\) | 9.92994i | 0.367272i | ||||||||
\(732\) | 10.2869 | − | 6.09122i | 0.380215 | − | 0.225138i | ||||
\(733\) | 5.49400 | − | 5.49400i | 0.202926 | − | 0.202926i | −0.598327 | − | 0.801252i | \(-0.704167\pi\) |
0.801252 | + | 0.598327i | \(0.204167\pi\) | |||||||
\(734\) | 4.91142 | + | 8.50683i | 0.181284 | + | 0.313993i | ||||
\(735\) | −15.3629 | + | 22.3379i | −0.566669 | + | 0.823946i | ||||
\(736\) | −22.9047 | + | 39.6720i | −0.844277 | + | 1.46233i | ||||
\(737\) | −1.27650 | − | 4.76395i | −0.0470203 | − | 0.175482i | ||||
\(738\) | −3.49916 | + | 14.3133i | −0.128806 | + | 0.526880i | ||||
\(739\) | 34.2440 | − | 19.7708i | 1.25969 | − | 0.727281i | 0.286673 | − | 0.958028i | \(-0.407451\pi\) |
0.973014 | + | 0.230748i | \(0.0741172\pi\) | |||||||
\(740\) | −16.0786 | − | 27.6929i | −0.591063 | − | 1.01801i | ||||
\(741\) | 8.82712 | − | 34.4573i | 0.324272 | − | 1.26582i | ||||
\(742\) | −12.2899 | + | 14.5718i | −0.451178 | + | 0.534946i | ||||
\(743\) | 4.39252 | − | 16.3931i | 0.161146 | − | 0.601404i | −0.837355 | − | 0.546660i | \(-0.815899\pi\) |
0.998500 | − | 0.0547442i | \(-0.0174343\pi\) | |||||||
\(744\) | 22.4257 | + | 21.9370i | 0.822168 | + | 0.804249i | ||||
\(745\) | 25.1266 | + | 25.0044i | 0.920569 | + | 0.916092i | ||||
\(746\) | 15.7370 | − | 9.08573i | 0.576171 | − | 0.332652i | ||||
\(747\) | 1.19318 | − | 4.88072i | 0.0436563 | − | 0.178576i | ||||
\(748\) | 3.11419 | − | 3.11419i | 0.113866 | − | 0.113866i | ||||
\(749\) | 3.00334 | + | 35.3555i | 0.109740 | + | 1.29186i | ||||
\(750\) | 14.7187 | + | 8.14186i | 0.537450 | + | 0.297299i | ||||
\(751\) | −38.4631 | −1.40354 | −0.701769 | − | 0.712405i | \(-0.747606\pi\) | ||||
−0.701769 | + | 0.712405i | \(0.747606\pi\) | |||||||
\(752\) | 0.0150420 | + | 0.0561376i | 0.000548526 | + | 0.00204713i | ||||
\(753\) | −28.5573 | + | 16.9098i | −1.04069 | + | 0.616226i | ||||
\(754\) | 2.56518 | − | 1.48101i | 0.0934183 | − | 0.0539351i | ||||
\(755\) | −5.24514 | − | 5.21964i | −0.190890 | − | 0.189962i | ||||
\(756\) | 13.4469 | + | 10.6010i | 0.489058 | + | 0.385556i | ||||
\(757\) | −15.8231 | − | 15.8231i | −0.575101 | − | 0.575101i | 0.358448 | − | 0.933550i | \(-0.383306\pi\) |
−0.933550 | + | 0.358448i | \(0.883306\pi\) | |||||||
\(758\) | −0.584190 | + | 2.18023i | −0.0212187 | + | 0.0791894i | ||||
\(759\) | 24.6591 | + | 6.31708i | 0.895070 | + | 0.229295i | ||||
\(760\) | 25.4908 | − | 44.4010i | 0.924650 | − | 1.61059i | ||||
\(761\) | − | 9.32105i | − | 0.337888i | −0.985626 | − | 0.168944i | \(-0.945964\pi\) | ||
0.985626 | − | 0.168944i | \(-0.0540357\pi\) | |||||||
\(762\) | 2.33995 | − | 4.15803i | 0.0847674 | − | 0.150630i | ||||
\(763\) | −10.9499 | + | 3.95417i | −0.396412 | + | 0.143150i | ||||
\(764\) | −6.13062 | −0.221798 | ||||||||
\(765\) | −13.0243 | + | 0.318777i | −0.470896 | + | 0.0115254i | ||||
\(766\) | 3.61531 | + | 6.26190i | 0.130627 | + | 0.226252i | ||||
\(767\) | −2.38468 | + | 2.38468i | −0.0861058 | + | 0.0861058i | ||||
\(768\) | −27.5252 | + | 0.303247i | −0.993231 | + | 0.0109425i | ||||
\(769\) | 16.9386 | − | 9.77951i | 0.610822 | − | 0.352658i | −0.162465 | − | 0.986714i | \(-0.551945\pi\) |
0.773287 | + | 0.634056i | \(0.218611\pi\) | |||||||
\(770\) | −8.79196 | + | 3.19916i | −0.316840 | + | 0.115290i | ||||
\(771\) | 2.06742 | + | 0.529622i | 0.0744562 | + | 0.0190739i | ||||
\(772\) | −7.41446 | + | 27.6712i | −0.266852 | + | 0.995907i | ||||
\(773\) | −1.77335 | + | 6.61823i | −0.0637829 | + | 0.238041i | −0.990456 | − | 0.137826i | \(-0.955988\pi\) |
0.926674 | + | 0.375867i | \(0.122655\pi\) | |||||||
\(774\) | −11.6823 | − | 6.40582i | −0.419911 | − | 0.230253i | ||||
\(775\) | −27.8983 | − | 15.9262i | −1.00214 | − | 0.572088i | ||||
\(776\) | −17.1654 | − | 9.91047i | −0.616203 | − | 0.355765i | ||||
\(777\) | −30.5870 | − | 42.9025i | −1.09730 | − | 1.53912i | ||||
\(778\) | 6.23585 | + | 1.67089i | 0.223566 | + | 0.0599044i | ||||
\(779\) | −45.9262 | −1.64548 | ||||||||
\(780\) | 10.4801 | − | 6.24015i | 0.375247 | − | 0.223433i | ||||
\(781\) | −13.6538 | −0.488571 | ||||||||
\(782\) | −3.52444 | − | 13.1534i | −0.126034 | − | 0.470364i | ||||
\(783\) | −3.30145 | + | 6.18142i | −0.117984 | + | 0.220906i | ||||
\(784\) | 0.0500267 | + | 0.292334i | 0.00178667 | + | 0.0104405i | ||||
\(785\) | 22.9584 | + | 13.1805i | 0.819420 | + | 0.470433i | ||||
\(786\) | −9.21288 | + | 2.57769i | −0.328613 | + | 0.0919433i | ||||
\(787\) | 18.3797 | − | 4.92482i | 0.655165 | − | 0.175551i | 0.0841017 | − | 0.996457i | \(-0.473198\pi\) |
0.571063 | + | 0.820906i | \(0.306531\pi\) | |||||||
\(788\) | 7.60152 | − | 2.03682i | 0.270793 | − | 0.0725588i | ||||
\(789\) | −2.87063 | + | 11.2057i | −0.102197 | + | 0.398934i | ||||
\(790\) | −16.1766 | − | 9.28707i | −0.575538 | − | 0.330419i | ||||
\(791\) | 12.8181 | − | 27.3084i | 0.455759 | − | 0.970976i | ||||
\(792\) | 4.31195 | + | 14.7817i | 0.153218 | + | 0.525245i | ||||
\(793\) | −3.62659 | − | 13.5346i | −0.128784 | − | 0.480628i | ||||
\(794\) | −9.10766 | −0.323219 | ||||||||
\(795\) | −28.0353 | − | 15.6871i | −0.994309 | − | 0.556364i | ||||
\(796\) | 1.96838 | 0.0697672 | ||||||||
\(797\) | 9.47349 | + | 2.53842i | 0.335568 | + | 0.0899153i | 0.422669 | − | 0.906284i | \(-0.361093\pi\) |
−0.0871003 | + | 0.996200i | \(0.527760\pi\) | |||||||
\(798\) | 13.4135 | − | 29.4151i | 0.474832 | − | 1.04128i | ||||
\(799\) | −2.30713 | − | 1.33202i | −0.0816203 | − | 0.0471235i | ||||
\(800\) | 27.3719 | − | 7.47747i | 0.967742 | − | 0.264368i | ||||
\(801\) | 3.29988 | + | 5.43537i | 0.116595 | + | 0.192049i | ||||
\(802\) | −6.63320 | + | 24.7554i | −0.234226 | + | 0.874145i | ||||
\(803\) | 1.48654 | − | 5.54784i | 0.0524588 | − | 0.195779i | ||||
\(804\) | 1.57462 | + | 5.62781i | 0.0555325 | + | 0.198478i | ||||
\(805\) | 8.29670 | − | 47.0294i | 0.292420 | − | 1.65757i | ||||
\(806\) | 12.2202 | − | 7.05533i | 0.430438 | − | 0.248513i | ||||
\(807\) | −18.5943 | + | 33.0417i | −0.654551 | + | 1.16312i | ||||
\(808\) | −6.20343 | + | 6.20343i | −0.218236 | + | 0.218236i | ||||
\(809\) | −3.27279 | − | 5.66864i | −0.115065 | − | 0.199299i | 0.802741 | − | 0.596328i | \(-0.203374\pi\) |
−0.917806 | + | 0.397030i | \(0.870041\pi\) | |||||||
\(810\) | 8.02700 | − | 15.5284i | 0.282040 | − | 0.545612i | ||||
\(811\) | −22.5898 | −0.793235 | −0.396618 | − | 0.917984i | \(-0.629816\pi\) | ||||
−0.396618 | + | 0.917984i | \(0.629816\pi\) | |||||||
\(812\) | −4.18008 | + | 1.50949i | −0.146692 | + | 0.0529728i | ||||
\(813\) | −45.1989 | + | 0.497959i | −1.58519 | + | 0.0174642i | ||||
\(814\) | − | 18.1831i | − | 0.637316i | ||||||
\(815\) | 13.9406 | − | 24.2824i | 0.488319 | − | 0.850575i | ||||
\(816\) | −0.0996636 | + | 0.101884i | −0.00348892 | + | 0.00356665i | ||||
\(817\) | 10.7479 | − | 40.1117i | 0.376021 | − | 1.40333i | ||||
\(818\) | 0.447429 | + | 0.447429i | 0.0156440 | + | 0.0156440i | ||||
\(819\) | 16.2121 | − | 11.8298i | 0.566498 | − | 0.413368i | ||||
\(820\) | −11.1629 | − | 11.1086i | −0.389826 | − | 0.387930i | ||||
\(821\) | 6.41866 | − | 3.70581i | 0.224013 | − | 0.129334i | −0.383794 | − | 0.923419i | \(-0.625383\pi\) |
0.607807 | + | 0.794085i | \(0.292049\pi\) | |||||||
\(822\) | −28.9928 | − | 16.3158i | −1.01124 | − | 0.569079i | ||||
\(823\) | −5.54588 | − | 20.6975i | −0.193317 | − | 0.721470i | −0.992696 | − | 0.120642i | \(-0.961505\pi\) |
0.799379 | − | 0.600827i | \(-0.205162\pi\) | |||||||
\(824\) | 18.8080 | 0.655206 | ||||||||
\(825\) | −8.09969 | − | 13.5280i | −0.281995 | − | 0.470983i | ||||
\(826\) | −2.51527 | + | 1.75177i | −0.0875174 | + | 0.0609519i | ||||
\(827\) | −24.7376 | + | 24.7376i | −0.860209 | + | 0.860209i | −0.991362 | − | 0.131153i | \(-0.958132\pi\) |
0.131153 | + | 0.991362i | \(0.458132\pi\) | |||||||
\(828\) | −29.2994 | − | 7.16279i | −1.01822 | − | 0.248924i | ||||
\(829\) | 5.37813 | − | 3.10506i | 0.186790 | − | 0.107843i | −0.403689 | − | 0.914896i | \(-0.632272\pi\) |
0.590479 | + | 0.807053i | \(0.298939\pi\) | |||||||
\(830\) | −2.30577 | − | 2.29456i | −0.0800346 | − | 0.0796454i | ||||
\(831\) | −1.63463 | + | 6.38089i | −0.0567047 | + | 0.221351i | ||||
\(832\) | −3.17041 | + | 11.8321i | −0.109914 | + | 0.410205i | ||||
\(833\) | −11.0968 | − | 7.85384i | −0.384483 | − | 0.272119i | ||||
\(834\) | −12.3582 | − | 12.0889i | −0.427930 | − | 0.418603i | ||||
\(835\) | −20.5719 | − | 35.4319i | −0.711921 | − | 1.22617i | ||||
\(836\) | −15.9504 | + | 9.20896i | −0.551655 | + | 0.318498i | ||||
\(837\) | −15.7277 | + | 29.4475i | −0.543629 | + | 1.01785i | ||||
\(838\) | −6.23797 | − | 23.2804i | −0.215487 | − | 0.804208i | ||||
\(839\) | −18.9203 | + | 32.7709i | −0.653200 | + | 1.13138i | 0.329142 | + | 0.944281i | \(0.393241\pi\) |
−0.982342 | + | 0.187095i | \(0.940093\pi\) | |||||||
\(840\) | 27.0353 | − | 10.1761i | 0.932806 | − | 0.351108i | ||||
\(841\) | 13.5906 | + | 23.5395i | 0.468640 | + | 0.811709i | ||||
\(842\) | −10.6436 | + | 10.6436i | −0.366801 | + | 0.366801i | ||||
\(843\) | 0.367154 | + | 33.3260i | 0.0126455 | + | 1.14781i | ||||
\(844\) | 8.52239i | 0.293353i | ||||||||
\(845\) | 3.85831 | + | 14.2603i | 0.132730 | + | 0.490568i | ||||
\(846\) | 3.05541 | − | 1.85498i | 0.105047 | − | 0.0637754i | ||||
\(847\) | −20.0152 | − | 3.58132i | −0.687732 | − | 0.123055i | ||||
\(848\) | −0.339469 | + | 0.0909604i | −0.0116574 | + | 0.00312359i | ||||
\(849\) | 0.484056 | − | 0.494841i | 0.0166128 | − | 0.0169829i | ||||
\(850\) | −4.18172 | + | 7.32519i | −0.143432 | + | 0.251252i | ||||
\(851\) | 80.3777 | + | 46.4061i | 2.75531 | + | 1.59078i | ||||
\(852\) | 16.1774 | − | 0.178228i | 0.554230 | − | 0.00610598i | ||||
\(853\) | 10.3580 | + | 38.6568i | 0.354653 | + | 1.32358i | 0.880921 | + | 0.473264i | \(0.156924\pi\) |
−0.526268 | + | 0.850319i | \(0.676409\pi\) | |||||||
\(854\) | −1.07795 | − | 12.6897i | −0.0368867 | − | 0.434232i | ||||
\(855\) | 52.9564 | + | 12.8095i | 1.81107 | + | 0.438075i | ||||
\(856\) | 18.9037 | − | 32.7422i | 0.646115 | − | 1.11910i | ||||
\(857\) | 19.2086 | − | 19.2086i | 0.656152 | − | 0.656152i | −0.298316 | − | 0.954467i | \(-0.596425\pi\) |
0.954467 | + | 0.298316i | \(0.0964248\pi\) | |||||||
\(858\) | 6.92547 | − | 0.0762983i | 0.236432 | − | 0.00260478i | ||||
\(859\) | 37.7323i | 1.28741i | 0.765273 | + | 0.643705i | \(0.222604\pi\) | ||||
−0.765273 | + | 0.643705i | \(0.777396\pi\) | |||||||
\(860\) | 12.3146 | − | 7.14993i | 0.419925 | − | 0.243811i | ||||
\(861\) | −19.9909 | − | 16.4871i | −0.681288 | − | 0.561877i | ||||
\(862\) | 32.2893 | − | 8.65190i | 1.09978 | − | 0.294685i | ||||
\(863\) | 5.82049 | − | 1.55959i | 0.198132 | − | 0.0530892i | −0.158388 | − | 0.987377i | \(-0.550630\pi\) |
0.356520 | + | 0.934288i | \(0.383963\pi\) | |||||||
\(864\) | −8.56908 | − | 28.2155i | −0.291526 | − | 0.959910i | ||||
\(865\) | 21.9723 | − | 12.7572i | 0.747081 | − | 0.433759i | ||||
\(866\) | −22.2939 | + | 12.8714i | −0.757579 | + | 0.437388i | ||||
\(867\) | 0.252405 | + | 22.9104i | 0.00857212 | + | 0.778077i | ||||
\(868\) | −19.9134 | + | 7.19103i | −0.675904 | + | 0.244079i | ||||
\(869\) | 8.74255 | + | 15.1425i | 0.296571 | + | 0.513676i | ||||
\(870\) | 2.32116 | + | 3.89829i | 0.0786947 | + | 0.132164i | ||||
\(871\) | 6.84947 | 0.232085 | ||||||||
\(872\) | 11.9820 | + | 3.21056i | 0.405761 | + | 0.108723i | ||||
\(873\) | 5.00906 | − | 20.4896i | 0.169531 | − | 0.693467i | ||||
\(874\) | 56.9474i | 1.92627i | ||||||||
\(875\) | −24.1493 | + | 17.0825i | −0.816396 | + | 0.577493i | ||||
\(876\) | −1.68888 | + | 6.59266i | −0.0570620 | + | 0.222745i | ||||
\(877\) | 25.5934 | + | 25.5934i | 0.864226 | + | 0.864226i | 0.991826 | − | 0.127600i | \(-0.0407273\pi\) |
−0.127600 | + | 0.991826i | \(0.540727\pi\) | |||||||
\(878\) | −8.37126 | + | 2.24307i | −0.282516 | + | 0.0757001i | ||||
\(879\) | 23.7474 | − | 6.64434i | 0.800980 | − | 0.224108i | ||||
\(880\) | −0.166720 | − | 0.0442373i | −0.00562014 | − | 0.00149124i | ||||
\(881\) | 37.5382i | 1.26469i | 0.774686 | + | 0.632347i | \(0.217908\pi\) | ||||
−0.774686 | + | 0.632347i | \(0.782092\pi\) | |||||||
\(882\) | 16.3984 | − | 7.98858i | 0.552163 | − | 0.268989i | ||||
\(883\) | −31.9594 | + | 31.9594i | −1.07552 | + | 1.07552i | −0.0786129 | + | 0.996905i | \(0.525049\pi\) |
−0.996905 | + | 0.0786129i | \(0.974951\pi\) | |||||||
\(884\) | 3.05819 | + | 5.29693i | 0.102858 | + | 0.178155i | ||||
\(885\) | −3.70150 | − | 3.60322i | −0.124425 | − | 0.121121i | ||||
\(886\) | 6.41601 | − | 11.1129i | 0.215550 | − | 0.373344i | ||||
\(887\) | −36.3712 | + | 36.3712i | −1.22123 | + | 1.22123i | −0.254029 | + | 0.967197i | \(0.581756\pi\) |
−0.967197 | + | 0.254029i | \(0.918244\pi\) | |||||||
\(888\) | 0.618475 | + | 56.1380i | 0.0207547 | + | 1.88387i | ||||
\(889\) | 4.79532 | + | 6.88533i | 0.160830 | + | 0.230926i | ||||
\(890\) | 4.11672 | − | 0.0100341i | 0.137993 | − | 0.000336344i | ||||
\(891\) | −13.8160 | + | 8.81015i | −0.462852 | + | 0.295151i | ||||
\(892\) | −3.62059 | + | 13.5122i | −0.121226 | + | 0.452422i | ||||
\(893\) | 7.87782 | + | 7.87782i | 0.263621 | + | 0.263621i | ||||
\(894\) | −6.42631 | − | 22.9681i | −0.214928 | − | 0.768169i | ||||
\(895\) | −7.62896 | + | 28.7518i | −0.255008 | + | 0.961066i | ||||
\(896\) | 8.02885 | − | 17.1051i | 0.268225 | − | 0.571442i | ||||
\(897\) | −17.3376 | + | 30.8086i | −0.578887 | + | 1.02867i | ||||
\(898\) | 3.60437 | + | 0.965789i | 0.120279 | + | 0.0322288i | ||||
\(899\) | −4.33244 | − | 7.50400i | −0.144495 | − | 0.250272i | ||||
\(900\) | 9.77335 | + | 15.9226i | 0.325778 | + | 0.530754i | ||||
\(901\) | 8.05484 | − | 13.9514i | 0.268346 | − | 0.464788i | ||||
\(902\) | −2.31446 | − | 8.63767i | −0.0770629 | − | 0.287603i | ||||
\(903\) | 19.0781 | − | 13.6016i | 0.634879 | − | 0.452632i | ||||
\(904\) | −27.8370 | + | 16.0717i | −0.925846 | + | 0.534538i | ||||
\(905\) | 16.3926 | + | 16.3129i | 0.544908 | + | 0.542258i | ||||
\(906\) | 1.34148 | + | 4.79456i | 0.0445677 | + | 0.159289i | ||||
\(907\) | −38.2920 | − | 38.2920i | −1.27146 | − | 1.27146i | −0.945320 | − | 0.326143i | \(-0.894251\pi\) |
−0.326143 | − | 0.945320i | \(-0.605749\pi\) | |||||||
\(908\) | −4.64593 | + | 1.24487i | −0.154181 | + | 0.0413126i | ||||
\(909\) | −8.18609 | − | 4.48873i | −0.271515 | − | 0.148882i | ||||
\(910\) | −1.13134 | − | 12.9440i | −0.0375034 | − | 0.429088i | ||||
\(911\) | −14.8450 | − | 8.57077i | −0.491837 | − | 0.283962i | 0.233499 | − | 0.972357i | \(-0.424982\pi\) |
−0.725336 | + | 0.688395i | \(0.758316\pi\) | |||||||
\(912\) | 0.512864 | − | 0.303684i | 0.0169826 | − | 0.0100560i | ||||
\(913\) | 0.789210 | + | 2.94537i | 0.0261191 | + | 0.0974776i | ||||
\(914\) | 1.75115 | − | 3.03308i | 0.0579229 | − | 0.100325i | ||||
\(915\) | 20.6548 | − | 5.83337i | 0.682827 | − | 0.192845i | ||||
\(916\) | 6.06656 | − | 10.5076i | 0.200445 | − | 0.347180i | ||||
\(917\) | 2.96323 | − | 16.5609i | 0.0978546 | − | 0.546889i | ||||
\(918\) | 7.73197 | + | 4.12959i | 0.255193 | + | 0.136297i | ||||
\(919\) | −5.43859 | − | 3.13997i | −0.179402 | − | 0.103578i | 0.407609 | − | 0.913156i | \(-0.366362\pi\) |
−0.587012 | + | 0.809578i | \(0.699696\pi\) | |||||||
\(920\) | −35.8928 | + | 36.0682i | −1.18335 | + | 1.18913i | ||||
\(921\) | −12.7701 | + | 49.8490i | −0.420789 | + | 1.64258i | ||||
\(922\) | −0.702431 | − | 0.702431i | −0.0231333 | − | 0.0231333i | ||||
\(923\) | 4.90775 | − | 18.3160i | 0.161541 | − | 0.602878i | ||||
\(924\) | −10.2489 | − | 1.71753i | −0.337163 | − | 0.0565025i | ||||
\(925\) | −15.1498 | − | 55.4569i | −0.498121 | − | 1.82341i | ||||
\(926\) | −10.7309 | − | 6.19546i | −0.352638 | − | 0.203595i | ||||
\(927\) | 5.60493 | + | 19.2142i | 0.184090 | + | 0.631076i | ||||
\(928\) | 7.39278 | + | 1.98089i | 0.242680 | + | 0.0650259i | ||||
\(929\) | 22.1508 | + | 38.3663i | 0.726745 | + | 1.25876i | 0.958252 | + | 0.285926i | \(0.0923011\pi\) |
−0.231507 | + | 0.972833i | \(0.574366\pi\) | |||||||
\(930\) | 11.0577 | + | 18.5710i | 0.362597 | + | 0.608966i | ||||
\(931\) | 36.3246 | + | 43.7362i | 1.19049 | + | 1.43340i | ||||
\(932\) | −21.4512 | − | 5.74782i | −0.702656 | − | 0.188276i | ||||
\(933\) | −0.208683 | − | 18.9418i | −0.00683198 | − | 0.620127i | ||||
\(934\) | − | 7.46355i | − | 0.244215i | ||||||
\(935\) | 6.83772 | − | 3.97001i | 0.223617 | − | 0.129833i | ||||
\(936\) | −21.3790 | + | 0.471123i | −0.698793 | + | 0.0153992i | ||||
\(937\) | 40.5574 | + | 40.5574i | 1.32495 | + | 1.32495i | 0.909711 | + | 0.415242i | \(0.136303\pi\) |
0.415242 | + | 0.909711i | \(0.363697\pi\) | |||||||
\(938\) | 6.12806 | + | 1.09649i | 0.200088 | + | 0.0358017i | ||||
\(939\) | 1.46156 | + | 5.22373i | 0.0476961 | + | 0.170470i | ||||
\(940\) | 0.00931160 | + | 3.82029i | 0.000303711 | + | 0.124604i | ||||
\(941\) | 36.0436 | + | 20.8098i | 1.17499 | + | 0.678380i | 0.954850 | − | 0.297089i | \(-0.0960157\pi\) |
0.220139 | + | 0.975469i | \(0.429349\pi\) | |||||||
\(942\) | −9.07514 | − | 15.3262i | −0.295684 | − | 0.499353i | ||||
\(943\) | 44.0894 | + | 11.8137i | 1.43575 | + | 0.384708i | ||||
\(944\) | −0.0565108 | −0.00183927 | ||||||||
\(945\) | 18.4526 | + | 24.5866i | 0.600263 | + | 0.799803i | ||||
\(946\) | 8.08573 | 0.262890 | ||||||||
\(947\) | −43.1704 | − | 11.5675i | −1.40285 | − | 0.375892i | −0.523482 | − | 0.852037i | \(-0.675367\pi\) |
−0.879367 | + | 0.476145i | \(0.842034\pi\) | |||||||
\(948\) | −10.5561 | − | 17.8272i | −0.342847 | − | 0.579002i | ||||
\(949\) | 6.90788 | + | 3.98826i | 0.224239 | + | 0.129465i | ||||
\(950\) | 24.8205 | − | 25.0637i | 0.805284 | − | 0.813174i | ||||
\(951\) | −1.02870 | − | 3.67667i | −0.0333580 | − | 0.119224i | ||||
\(952\) | 4.92001 | + | 13.6245i | 0.159458 | + | 0.441572i | ||||
\(953\) | 19.6756 | + | 19.6756i | 0.637357 | + | 0.637357i | 0.949903 | − | 0.312546i | \(-0.101182\pi\) |
−0.312546 | + | 0.949903i | \(0.601182\pi\) | |||||||
\(954\) | 11.2172 | + | 18.4764i | 0.363170 | + | 0.598194i | ||||
\(955\) | −10.6381 | − | 2.82270i | −0.344241 | − | 0.0913404i | ||||
\(956\) | 19.1965i | 0.620859i | ||||||||
\(957\) | −0.0468522 | − | 4.25269i | −0.00151452 | − | 0.137470i | ||||
\(958\) | −8.04945 | − | 2.15684i | −0.260066 | − | 0.0696845i | ||||
\(959\) | 48.0095 | − | 33.4364i | 1.55031 | − | 1.07972i | ||||
\(960\) | −18.1873 | − | 4.61195i | −0.586994 | − | 0.148850i | ||||
\(961\) | −5.13918 | − | 8.90131i | −0.165780 | − | 0.287139i | ||||
\(962\) | 24.3918 | + | 6.53577i | 0.786424 | + | 0.210722i | ||||
\(963\) | 39.0828 | + | 9.55452i | 1.25942 | + | 0.307890i | ||||
\(964\) | −16.7246 | − | 9.65598i | −0.538664 | − | 0.310998i | ||||
\(965\) | −25.6064 | + | 44.6023i | −0.824299 | + | 1.43580i | ||||
\(966\) | −20.4436 | + | 24.7883i | −0.657761 | + | 0.797549i | ||||
\(967\) | 10.3404 | − | 38.5908i | 0.332524 | − | 1.24100i | −0.574004 | − | 0.818853i | \(-0.694611\pi\) |
0.906528 | − | 0.422145i | \(-0.138723\pi\) | |||||||
\(968\) | 15.3196 | + | 15.3196i | 0.492391 | + | 0.492391i | ||||
\(969\) | −6.78010 | + | 26.4666i | −0.217808 | + | 0.850229i | ||||
\(970\) | −9.67978 | − | 9.63271i | −0.310799 | − | 0.309288i | ||||
\(971\) | −28.4467 | − | 16.4237i | −0.912898 | − | 0.527062i | −0.0315356 | − | 0.999503i | \(-0.510040\pi\) |
−0.881362 | + | 0.472441i | \(0.843373\pi\) | |||||||
\(972\) | 16.2546 | − | 10.6189i | 0.521366 | − | 0.340601i | ||||
\(973\) | 28.5948 | − | 10.3260i | 0.916706 | − | 0.331037i | ||||
\(974\) | 11.0518 | − | 19.1423i | 0.354123 | − | 0.613359i | ||||
\(975\) | 21.0586 | − | 6.00287i | 0.674414 | − | 0.192246i | ||||
\(976\) | 0.117397 | − | 0.203338i | 0.00375780 | − | 0.00650869i | ||||
\(977\) | −10.0391 | − | 37.4664i | −0.321179 | − | 1.19866i | −0.918097 | − | 0.396355i | \(-0.870275\pi\) |
0.596918 | − | 0.802302i | \(-0.296392\pi\) | |||||||
\(978\) | −16.2100 | + | 9.59849i | −0.518339 | + | 0.306926i | ||||
\(979\) | −3.34198 | − | 1.92949i | −0.106810 | − | 0.0616668i | ||||
\(980\) | −1.74980 | + | 19.4168i | −0.0558952 | + | 0.620248i | ||||
\(981\) | 0.290831 | + | 13.1975i | 0.00928552 | + | 0.421364i | ||||
\(982\) | 4.07136 | − | 1.09092i | 0.129922 | − | 0.0348126i | ||||
\(983\) | 35.6568 | + | 35.6568i | 1.13728 | + | 1.13728i | 0.988937 | + | 0.148338i | \(0.0473925\pi\) |
0.148338 | + | 0.988937i | \(0.452608\pi\) | |||||||
\(984\) | 7.43940 | + | 26.5890i | 0.237159 | + | 0.847627i | ||||
\(985\) | 14.1283 | − | 0.0344363i | 0.450164 | − | 0.00109723i | ||||
\(986\) | −1.97031 | + | 1.13756i | −0.0627474 | + | 0.0362273i | ||||
\(987\) | 0.601024 | + | 6.25715i | 0.0191308 | + | 0.199167i | ||||
\(988\) | −6.62019 | − | 24.7069i | −0.210616 | − | 0.786030i | ||||
\(989\) | −20.6361 | + | 35.7428i | −0.656190 | + | 1.13655i | ||||
\(990\) | 0.259573 | + | 10.6054i | 0.00824979 | + | 0.337063i | ||||
\(991\) | −17.9563 | − | 31.1012i | −0.570400 | − | 0.987962i | −0.996525 | − | 0.0832976i | \(-0.973455\pi\) |
0.426125 | − | 0.904665i | \(-0.359879\pi\) | |||||||
\(992\) | 35.2183 | + | 9.43671i | 1.11818 | + | 0.299616i | ||||
\(993\) | 5.37187 | − | 9.54568i | 0.170471 | − | 0.302923i | ||||
\(994\) | 7.32295 | − | 15.6012i | 0.232270 | − | 0.494841i | ||||
\(995\) | 3.41560 | + | 0.906291i | 0.108282 | + | 0.0287314i | ||||
\(996\) | −0.973528 | − | 3.47947i | −0.0308474 | − | 0.110251i | ||||
\(997\) | 14.1782 | + | 14.1782i | 0.449028 | + | 0.449028i | 0.895031 | − | 0.446003i | \(-0.147153\pi\) |
−0.446003 | + | 0.895031i | \(0.647153\pi\) | |||||||
\(998\) | 2.68404 | − | 10.0170i | 0.0849618 | − | 0.317082i | ||||
\(999\) | −57.1661 | + | 17.3614i | −1.80866 | + | 0.549291i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 315.2.bx.a.2.17 | yes | 176 | |
3.2 | odd | 2 | 945.2.ca.a.737.28 | 176 | |||
5.3 | odd | 4 | inner | 315.2.bx.a.128.17 | yes | 176 | |
7.4 | even | 3 | 315.2.bv.a.137.28 | yes | 176 | ||
9.4 | even | 3 | 945.2.by.a.422.28 | 176 | |||
9.5 | odd | 6 | 315.2.bv.a.212.17 | yes | 176 | ||
15.8 | even | 4 | 945.2.ca.a.548.28 | 176 | |||
21.11 | odd | 6 | 945.2.by.a.872.17 | 176 | |||
35.18 | odd | 12 | 315.2.bv.a.263.17 | yes | 176 | ||
45.13 | odd | 12 | 945.2.by.a.233.17 | 176 | |||
45.23 | even | 12 | 315.2.bv.a.23.28 | ✓ | 176 | ||
63.4 | even | 3 | 945.2.ca.a.557.28 | 176 | |||
63.32 | odd | 6 | inner | 315.2.bx.a.32.17 | yes | 176 | |
105.53 | even | 12 | 945.2.by.a.683.28 | 176 | |||
315.158 | even | 12 | inner | 315.2.bx.a.158.17 | yes | 176 | |
315.193 | odd | 12 | 945.2.ca.a.368.28 | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.bv.a.23.28 | ✓ | 176 | 45.23 | even | 12 | ||
315.2.bv.a.137.28 | yes | 176 | 7.4 | even | 3 | ||
315.2.bv.a.212.17 | yes | 176 | 9.5 | odd | 6 | ||
315.2.bv.a.263.17 | yes | 176 | 35.18 | odd | 12 | ||
315.2.bx.a.2.17 | yes | 176 | 1.1 | even | 1 | trivial | |
315.2.bx.a.32.17 | yes | 176 | 63.32 | odd | 6 | inner | |
315.2.bx.a.128.17 | yes | 176 | 5.3 | odd | 4 | inner | |
315.2.bx.a.158.17 | yes | 176 | 315.158 | even | 12 | inner | |
945.2.by.a.233.17 | 176 | 45.13 | odd | 12 | |||
945.2.by.a.422.28 | 176 | 9.4 | even | 3 | |||
945.2.by.a.683.28 | 176 | 105.53 | even | 12 | |||
945.2.by.a.872.17 | 176 | 21.11 | odd | 6 | |||
945.2.ca.a.368.28 | 176 | 315.193 | odd | 12 | |||
945.2.ca.a.548.28 | 176 | 15.8 | even | 4 | |||
945.2.ca.a.557.28 | 176 | 63.4 | even | 3 | |||
945.2.ca.a.737.28 | 176 | 3.2 | odd | 2 |