Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(15,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([5, 42]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.15");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.cb (of order \(60\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(576\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 15.17 | ||
Character | \(\chi\) | \(=\) | 403.15 |
Dual form | 403.2.cb.a.215.17 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.378014 | + | 0.145106i | −0.267296 | + | 0.102605i | −0.488325 | − | 0.872662i | \(-0.662392\pi\) |
0.221029 | + | 0.975267i | \(0.429059\pi\) | |||||||
\(3\) | 1.58507 | + | 0.166597i | 0.915138 | + | 0.0961849i | 0.550377 | − | 0.834916i | \(-0.314484\pi\) |
0.364761 | + | 0.931101i | \(0.381151\pi\) | |||||||
\(4\) | −1.36445 | + | 1.22856i | −0.682225 | + | 0.614279i | ||||
\(5\) | −2.82295 | + | 2.82295i | −1.26246 | + | 1.26246i | −0.312567 | + | 0.949896i | \(0.601189\pi\) |
−0.949896 | + | 0.312567i | \(0.898811\pi\) | |||||||
\(6\) | −0.623351 | + | 0.167027i | −0.254482 | + | 0.0681883i | ||||
\(7\) | 0.00967852 | − | 0.184677i | 0.00365814 | − | 0.0698014i | −0.996190 | − | 0.0872047i | \(-0.972207\pi\) |
0.999849 | + | 0.0174033i | \(0.00553992\pi\) | |||||||
\(8\) | 0.705159 | − | 1.38395i | 0.249311 | − | 0.489301i | ||||
\(9\) | −0.449762 | − | 0.0956000i | −0.149921 | − | 0.0318667i | ||||
\(10\) | 0.657488 | − | 1.47674i | 0.207916 | − | 0.466987i | ||||
\(11\) | 1.93933 | − | 2.98631i | 0.584731 | − | 0.900406i | −0.415226 | − | 0.909718i | \(-0.636297\pi\) |
0.999957 | + | 0.00931196i | \(0.00296413\pi\) | |||||||
\(12\) | −2.36742 | + | 1.72003i | −0.683415 | + | 0.496530i | ||||
\(13\) | −2.17853 | + | 2.87298i | −0.604216 | + | 0.796820i | ||||
\(14\) | 0.0231391 | + | 0.0712150i | 0.00618420 | + | 0.0190330i | ||||
\(15\) | −4.94486 | + | 4.00427i | −1.27676 | + | 1.03390i | ||||
\(16\) | 0.318099 | − | 3.02651i | 0.0795247 | − | 0.756627i | ||||
\(17\) | −3.86642 | − | 0.821832i | −0.937743 | − | 0.199324i | −0.286403 | − | 0.958109i | \(-0.592460\pi\) |
−0.651340 | + | 0.758786i | \(0.725793\pi\) | |||||||
\(18\) | 0.183889 | − | 0.0291251i | 0.0433430 | − | 0.00686485i | ||||
\(19\) | −0.486825 | − | 0.394223i | −0.111685 | − | 0.0904409i | 0.571851 | − | 0.820358i | \(-0.306226\pi\) |
−0.683536 | + | 0.729917i | \(0.739559\pi\) | |||||||
\(20\) | 0.383622 | − | 7.31994i | 0.0857804 | − | 1.63679i | ||||
\(21\) | 0.0461078 | − | 0.291113i | 0.0100615 | − | 0.0635261i | ||||
\(22\) | −0.299763 | + | 1.41028i | −0.0639098 | + | 0.300672i | ||||
\(23\) | −4.90981 | + | 5.45290i | −1.02377 | + | 1.13701i | −0.0332737 | + | 0.999446i | \(0.510593\pi\) |
−0.990493 | + | 0.137562i | \(0.956073\pi\) | |||||||
\(24\) | 1.34829 | − | 2.07618i | 0.275218 | − | 0.423798i | ||||
\(25\) | − | 10.9381i | − | 2.18762i | ||||||
\(26\) | 0.406630 | − | 1.40214i | 0.0797466 | − | 0.274983i | ||||
\(27\) | −5.24435 | − | 1.70399i | −1.00928 | − | 0.327934i | ||||
\(28\) | 0.213681 | + | 0.263873i | 0.0403818 | + | 0.0498674i | ||||
\(29\) | −1.84596 | + | 4.14609i | −0.342786 | + | 0.769910i | 0.657084 | + | 0.753817i | \(0.271790\pi\) |
−0.999870 | + | 0.0160934i | \(0.994877\pi\) | |||||||
\(30\) | 1.28818 | − | 2.23120i | 0.235189 | − | 0.407359i | ||||
\(31\) | −2.56681 | + | 4.94080i | −0.461013 | + | 0.887393i | ||||
\(32\) | 1.12294 | + | 4.19086i | 0.198509 | + | 0.740847i | ||||
\(33\) | 3.57148 | − | 4.41041i | 0.621715 | − | 0.767754i | ||||
\(34\) | 1.58081 | − | 0.250376i | 0.271107 | − | 0.0429391i | ||||
\(35\) | 0.494013 | + | 0.548657i | 0.0835034 | + | 0.0927399i | ||||
\(36\) | 0.731129 | − | 0.422117i | 0.121855 | − | 0.0703529i | ||||
\(37\) | 8.90324 | + | 2.38562i | 1.46368 | + | 0.392193i | 0.900760 | − | 0.434317i | \(-0.143010\pi\) |
0.562923 | + | 0.826509i | \(0.309677\pi\) | |||||||
\(38\) | 0.241231 | + | 0.0783806i | 0.0391328 | + | 0.0127150i | ||||
\(39\) | −3.93175 | + | 4.19092i | −0.629584 | + | 0.671084i | ||||
\(40\) | 1.91620 | + | 5.89746i | 0.302978 | + | 0.932471i | ||||
\(41\) | 10.6092 | − | 4.07249i | 1.65688 | − | 0.636016i | 0.663216 | − | 0.748428i | \(-0.269191\pi\) |
0.993662 | + | 0.112412i | \(0.0358576\pi\) | |||||||
\(42\) | 0.0248129 | + | 0.116735i | 0.00382871 | + | 0.0180127i | ||||
\(43\) | 1.10519 | + | 10.5152i | 0.168540 | + | 1.60355i | 0.672683 | + | 0.739931i | \(0.265142\pi\) |
−0.504143 | + | 0.863620i | \(0.668192\pi\) | |||||||
\(44\) | 1.02273 | + | 6.45725i | 0.154182 | + | 0.973468i | ||||
\(45\) | 1.53953 | − | 0.999784i | 0.229500 | − | 0.149039i | ||||
\(46\) | 1.06473 | − | 2.77372i | 0.156986 | − | 0.408962i | ||||
\(47\) | −0.146288 | − | 0.923626i | −0.0213383 | − | 0.134725i | 0.974719 | − | 0.223433i | \(-0.0717262\pi\) |
−0.996058 | + | 0.0887079i | \(0.971726\pi\) | |||||||
\(48\) | 1.00841 | − | 4.74422i | 0.145552 | − | 0.684769i | ||||
\(49\) | 6.92764 | + | 0.728124i | 0.989663 | + | 0.104018i | ||||
\(50\) | 1.58719 | + | 4.13476i | 0.224462 | + | 0.584744i | ||||
\(51\) | −5.99161 | − | 1.94679i | −0.838993 | − | 0.272605i | ||||
\(52\) | −0.557115 | − | 6.59649i | −0.0772580 | − | 0.914768i | ||||
\(53\) | −10.8247 | + | 3.51715i | −1.48688 | + | 0.483118i | −0.936161 | − | 0.351571i | \(-0.885647\pi\) |
−0.550722 | + | 0.834689i | \(0.685647\pi\) | |||||||
\(54\) | 2.22970 | − | 0.116853i | 0.303423 | − | 0.0159017i | ||||
\(55\) | 2.95557 | + | 13.9049i | 0.398529 | + | 1.87493i | ||||
\(56\) | −0.248760 | − | 0.143621i | −0.0332419 | − | 0.0191922i | ||||
\(57\) | −0.705973 | − | 0.705973i | −0.0935084 | − | 0.0935084i | ||||
\(58\) | 0.0961757 | − | 1.83514i | 0.0126285 | − | 0.240966i | ||||
\(59\) | −7.46954 | − | 2.86729i | −0.972451 | − | 0.373289i | −0.180298 | − | 0.983612i | \(-0.557706\pi\) |
−0.792153 | + | 0.610323i | \(0.791040\pi\) | |||||||
\(60\) | 1.82755 | − | 11.5387i | 0.235935 | − | 1.48964i | ||||
\(61\) | −0.887618 | − | 0.512466i | −0.113648 | − | 0.0656146i | 0.442099 | − | 0.896966i | \(-0.354234\pi\) |
−0.555746 | + | 0.831352i | \(0.687567\pi\) | |||||||
\(62\) | 0.253353 | − | 2.24015i | 0.0321758 | − | 0.284499i | ||||
\(63\) | −0.0220082 | + | 0.0821356i | −0.00277277 | + | 0.0103481i | ||||
\(64\) | 2.54486 | + | 3.50271i | 0.318108 | + | 0.437838i | ||||
\(65\) | −1.96038 | − | 14.2602i | −0.243156 | − | 1.76876i | ||||
\(66\) | −0.710093 | + | 2.18544i | −0.0874064 | + | 0.269009i | ||||
\(67\) | −7.80348 | − | 2.09094i | −0.953347 | − | 0.255449i | −0.251565 | − | 0.967840i | \(-0.580945\pi\) |
−0.701782 | + | 0.712392i | \(0.747612\pi\) | |||||||
\(68\) | 6.28520 | − | 3.62876i | 0.762193 | − | 0.440052i | ||||
\(69\) | −8.69082 | + | 7.82525i | −1.04625 | + | 0.942049i | ||||
\(70\) | −0.266357 | − | 0.135716i | −0.0318358 | − | 0.0162211i | ||||
\(71\) | 1.16278 | − | 0.755117i | 0.137996 | − | 0.0896159i | −0.473795 | − | 0.880635i | \(-0.657116\pi\) |
0.611791 | + | 0.791020i | \(0.290449\pi\) | |||||||
\(72\) | −0.449460 | + | 0.555037i | −0.0529694 | + | 0.0654117i | ||||
\(73\) | 4.43837 | + | 8.71080i | 0.519472 | + | 1.01952i | 0.990514 | + | 0.137411i | \(0.0438781\pi\) |
−0.471042 | + | 0.882111i | \(0.656122\pi\) | |||||||
\(74\) | −3.71172 | + | 0.390117i | −0.431478 | + | 0.0453502i | ||||
\(75\) | 1.82226 | − | 17.3376i | 0.210416 | − | 2.00198i | ||||
\(76\) | 1.14857 | − | 0.0601942i | 0.131750 | − | 0.00690475i | ||||
\(77\) | −0.532733 | − | 0.387053i | −0.0607106 | − | 0.0441088i | ||||
\(78\) | 0.878128 | − | 2.15475i | 0.0994284 | − | 0.243977i | ||||
\(79\) | 4.79624 | − | 1.55839i | 0.539619 | − | 0.175333i | −0.0265113 | − | 0.999649i | \(-0.508440\pi\) |
0.566131 | + | 0.824316i | \(0.308440\pi\) | |||||||
\(80\) | 7.64571 | + | 9.44166i | 0.854816 | + | 1.05561i | ||||
\(81\) | −6.76859 | − | 3.01357i | −0.752065 | − | 0.334841i | ||||
\(82\) | −3.41948 | + | 3.07892i | −0.377619 | + | 0.340009i | ||||
\(83\) | 5.20205 | + | 0.823925i | 0.571000 | + | 0.0904375i | 0.435256 | − | 0.900307i | \(-0.356658\pi\) |
0.135743 | + | 0.990744i | \(0.456658\pi\) | |||||||
\(84\) | 0.294737 | + | 0.453856i | 0.0321585 | + | 0.0495197i | ||||
\(85\) | 13.2347 | − | 8.59471i | 1.43550 | − | 0.932227i | ||||
\(86\) | −1.94359 | − | 3.81452i | −0.209583 | − | 0.411330i | ||||
\(87\) | −3.61670 | + | 6.26430i | −0.387751 | + | 0.671604i | ||||
\(88\) | −2.76537 | − | 4.78977i | −0.294790 | − | 0.510591i | ||||
\(89\) | −6.99146 | + | 10.7659i | −0.741094 | + | 1.14118i | 0.244102 | + | 0.969750i | \(0.421507\pi\) |
−0.985195 | + | 0.171435i | \(0.945160\pi\) | |||||||
\(90\) | −0.436890 | + | 0.601327i | −0.0460522 | + | 0.0633855i | ||||
\(91\) | 0.509488 | + | 0.430131i | 0.0534089 | + | 0.0450900i | ||||
\(92\) | − | 13.4722i | − | 1.40457i | ||||||
\(93\) | −4.89169 | + | 7.40386i | −0.507245 | + | 0.767745i | ||||
\(94\) | 0.189323 | + | 0.327916i | 0.0195271 | + | 0.0338220i | ||||
\(95\) | 2.48715 | − | 0.261411i | 0.255177 | − | 0.0268202i | ||||
\(96\) | 1.08175 | + | 6.82987i | 0.110405 | + | 0.697071i | ||||
\(97\) | 17.8043 | + | 0.933082i | 1.80775 | + | 0.0947401i | 0.926126 | − | 0.377215i | \(-0.123118\pi\) |
0.881623 | + | 0.471955i | \(0.156451\pi\) | |||||||
\(98\) | −2.72440 | + | 0.730001i | −0.275206 | + | 0.0737412i | ||||
\(99\) | −1.15773 | + | 1.15773i | −0.116356 | + | 0.116356i | ||||
\(100\) | 13.4381 | + | 14.9245i | 1.34381 | + | 1.49245i | ||||
\(101\) | −4.64124 | − | 4.17899i | −0.461821 | − | 0.415825i | 0.405099 | − | 0.914273i | \(-0.367237\pi\) |
−0.866920 | + | 0.498447i | \(0.833904\pi\) | |||||||
\(102\) | 2.54740 | − | 0.133504i | 0.252231 | − | 0.0132188i | ||||
\(103\) | −2.37813 | − | 3.27322i | −0.234325 | − | 0.322520i | 0.675620 | − | 0.737250i | \(-0.263876\pi\) |
−0.909945 | + | 0.414730i | \(0.863876\pi\) | |||||||
\(104\) | 2.43985 | + | 5.04089i | 0.239247 | + | 0.494300i | ||||
\(105\) | 0.691638 | + | 0.951958i | 0.0674970 | + | 0.0929016i | ||||
\(106\) | 3.58152 | − | 2.90026i | 0.347868 | − | 0.281698i | ||||
\(107\) | −0.314061 | + | 0.348800i | −0.0303615 | + | 0.0337198i | −0.758134 | − | 0.652098i | \(-0.773889\pi\) |
0.727773 | + | 0.685818i | \(0.240556\pi\) | |||||||
\(108\) | 9.24911 | − | 4.11797i | 0.889996 | − | 0.396252i | ||||
\(109\) | −6.03015 | + | 0.955082i | −0.577584 | + | 0.0914803i | −0.438390 | − | 0.898785i | \(-0.644451\pi\) |
−0.139194 | + | 0.990265i | \(0.544451\pi\) | |||||||
\(110\) | −3.13492 | − | 4.82736i | −0.298903 | − | 0.460271i | ||||
\(111\) | 13.7148 | + | 5.26461i | 1.30175 | + | 0.499695i | ||||
\(112\) | −0.555848 | − | 0.0880377i | −0.0525227 | − | 0.00831878i | ||||
\(113\) | −4.41688 | − | 4.90544i | −0.415505 | − | 0.461465i | 0.498666 | − | 0.866794i | \(-0.333824\pi\) |
−0.914171 | + | 0.405329i | \(0.867157\pi\) | |||||||
\(114\) | 0.369309 | + | 0.164427i | 0.0345889 | + | 0.0154000i | ||||
\(115\) | −1.53311 | − | 29.2534i | −0.142963 | − | 2.72790i | ||||
\(116\) | −2.57499 | − | 7.92501i | −0.239082 | − | 0.735819i | ||||
\(117\) | 1.25448 | − | 1.08389i | 0.115977 | − | 0.100206i | ||||
\(118\) | 3.23965 | 0.298234 | ||||||||
\(119\) | −0.189195 | + | 0.706084i | −0.0173435 | + | 0.0647266i | ||||
\(120\) | 2.05481 | + | 9.66710i | 0.187577 | + | 0.882482i | ||||
\(121\) | −0.682935 | − | 1.53390i | −0.0620850 | − | 0.139445i | ||||
\(122\) | 0.409894 | + | 0.0649208i | 0.0371101 | + | 0.00587765i | ||||
\(123\) | 17.4947 | − | 4.68770i | 1.57745 | − | 0.422676i | ||||
\(124\) | −2.56776 | − | 9.89495i | −0.230591 | − | 0.888593i | ||||
\(125\) | 16.7630 | + | 16.7630i | 1.49933 | + | 1.49933i | ||||
\(126\) | −0.00359897 | − | 0.0342419i | −0.000320622 | − | 0.00305051i | ||||
\(127\) | −0.306067 | + | 2.91203i | −0.0271590 | + | 0.258401i | 0.972514 | + | 0.232843i | \(0.0748029\pi\) |
−0.999673 | + | 0.0255578i | \(0.991864\pi\) | |||||||
\(128\) | −8.74774 | − | 5.68085i | −0.773198 | − | 0.502121i | ||||
\(129\) | 16.8514i | 1.48368i | ||||||||
\(130\) | 2.81029 | + | 5.10608i | 0.246479 | + | 0.447833i | ||||
\(131\) | −6.66051 | + | 20.4989i | −0.581931 | + | 1.79100i | 0.0293289 | + | 0.999570i | \(0.490663\pi\) |
−0.611260 | + | 0.791430i | \(0.709337\pi\) | |||||||
\(132\) | 0.545332 | + | 10.4056i | 0.0474651 | + | 0.905688i | ||||
\(133\) | −0.0775157 | + | 0.0860899i | −0.00672146 | + | 0.00746494i | ||||
\(134\) | 3.25323 | − | 0.341929i | 0.281037 | − | 0.0295381i | ||||
\(135\) | 19.6148 | − | 9.99426i | 1.68818 | − | 0.860169i | ||||
\(136\) | −3.86381 | + | 4.77141i | −0.331319 | + | 0.409145i | ||||
\(137\) | 0.689685 | − | 1.79669i | 0.0589238 | − | 0.153502i | −0.900958 | − | 0.433906i | \(-0.857135\pi\) |
0.959882 | + | 0.280404i | \(0.0904684\pi\) | |||||||
\(138\) | 2.14976 | − | 4.21914i | 0.183000 | − | 0.359157i | ||||
\(139\) | 5.58863 | + | 12.5523i | 0.474022 | + | 1.06467i | 0.979429 | + | 0.201789i | \(0.0646756\pi\) |
−0.505407 | + | 0.862881i | \(0.668658\pi\) | |||||||
\(140\) | −1.34811 | − | 0.141692i | −0.113936 | − | 0.0119752i | ||||
\(141\) | −0.0780027 | − | 1.48838i | −0.00656901 | − | 0.125344i | ||||
\(142\) | −0.329974 | + | 0.454171i | −0.0276908 | + | 0.0381132i | ||||
\(143\) | 4.35470 | + | 12.0774i | 0.364158 | + | 1.00997i | ||||
\(144\) | −0.432403 | + | 1.33080i | −0.0360336 | + | 0.110900i | ||||
\(145\) | −6.49317 | − | 16.9153i | −0.539228 | − | 1.40474i | ||||
\(146\) | −2.94176 | − | 2.64877i | −0.243461 | − | 0.219214i | ||||
\(147\) | 10.8595 | + | 2.30825i | 0.895674 | + | 0.190381i | ||||
\(148\) | −15.0789 | + | 7.68308i | −1.23948 | + | 0.631545i | ||||
\(149\) | −0.185041 | − | 0.690582i | −0.0151591 | − | 0.0565747i | 0.957932 | − | 0.286995i | \(-0.0926564\pi\) |
−0.973091 | + | 0.230421i | \(0.925990\pi\) | |||||||
\(150\) | 1.82696 | + | 6.81829i | 0.149170 | + | 0.556711i | ||||
\(151\) | −3.34307 | − | 6.56114i | −0.272055 | − | 0.533938i | 0.714043 | − | 0.700102i | \(-0.246862\pi\) |
−0.986098 | + | 0.166164i | \(0.946862\pi\) | |||||||
\(152\) | −0.888875 | + | 0.395753i | −0.0720973 | + | 0.0320998i | ||||
\(153\) | 1.66040 | + | 0.739258i | 0.134235 | + | 0.0597655i | ||||
\(154\) | 0.257544 | + | 0.0690088i | 0.0207535 | + | 0.00556089i | ||||
\(155\) | −6.70164 | − | 21.1936i | −0.538288 | − | 1.70231i | ||||
\(156\) | 0.215892 | − | 10.5487i | 0.0172852 | − | 0.844571i | ||||
\(157\) | 9.44566 | − | 6.86267i | 0.753846 | − | 0.547701i | −0.143171 | − | 0.989698i | \(-0.545730\pi\) |
0.897017 | + | 0.441997i | \(0.145730\pi\) | |||||||
\(158\) | −1.58691 | + | 1.28506i | −0.126248 | + | 0.102234i | ||||
\(159\) | −17.7438 | + | 3.77155i | −1.40717 | + | 0.299104i | ||||
\(160\) | −15.0006 | − | 8.66060i | −1.18590 | − | 0.684681i | ||||
\(161\) | 0.959506 | + | 0.959506i | 0.0756197 | + | 0.0756197i | ||||
\(162\) | 2.99591 | + | 0.157009i | 0.235381 | + | 0.0123358i | ||||
\(163\) | −2.40293 | − | 3.70020i | −0.188212 | − | 0.289822i | 0.731950 | − | 0.681358i | \(-0.238610\pi\) |
−0.920163 | + | 0.391536i | \(0.871944\pi\) | |||||||
\(164\) | −9.47244 | + | 18.5907i | −0.739673 | + | 1.45169i | ||||
\(165\) | 2.36826 | + | 22.5325i | 0.184369 | + | 1.75415i | ||||
\(166\) | −2.08601 | + | 0.443394i | −0.161905 | + | 0.0344141i | ||||
\(167\) | 10.3900 | − | 3.98836i | 0.804006 | − | 0.308629i | 0.0785609 | − | 0.996909i | \(-0.474967\pi\) |
0.725445 | + | 0.688280i | \(0.241634\pi\) | |||||||
\(168\) | −0.370373 | − | 0.269092i | −0.0285749 | − | 0.0207609i | ||||
\(169\) | −3.50799 | − | 12.5177i | −0.269845 | − | 0.962904i | ||||
\(170\) | −3.75576 | + | 5.16936i | −0.288053 | + | 0.396471i | ||||
\(171\) | 0.181268 | + | 0.223847i | 0.0138619 | + | 0.0171180i | ||||
\(172\) | −14.4265 | − | 12.9897i | −1.10001 | − | 0.990453i | ||||
\(173\) | −7.04088 | − | 15.8141i | −0.535308 | − | 1.20232i | −0.955528 | − | 0.294900i | \(-0.904714\pi\) |
0.420220 | − | 0.907422i | \(-0.361953\pi\) | |||||||
\(174\) | 0.458174 | − | 2.89280i | 0.0347341 | − | 0.219303i | ||||
\(175\) | −2.02002 | − | 0.105865i | −0.152699 | − | 0.00800262i | ||||
\(176\) | −8.42119 | − | 6.81934i | −0.634771 | − | 0.514027i | ||||
\(177\) | −11.3620 | − | 5.78924i | −0.854023 | − | 0.435146i | ||||
\(178\) | 1.08067 | − | 5.08417i | 0.0809999 | − | 0.381075i | ||||
\(179\) | 2.11626 | − | 0.449824i | 0.158176 | − | 0.0336214i | −0.128143 | − | 0.991756i | \(-0.540902\pi\) |
0.286319 | + | 0.958134i | \(0.407568\pi\) | |||||||
\(180\) | −0.872324 | + | 3.25556i | −0.0650192 | + | 0.242655i | ||||
\(181\) | 8.66124 | 0.643785 | 0.321892 | − | 0.946776i | \(-0.395681\pi\) | ||||
0.321892 | + | 0.946776i | \(0.395681\pi\) | |||||||
\(182\) | −0.255008 | − | 0.0886659i | −0.0189025 | − | 0.00657235i | ||||
\(183\) | −1.32156 | − | 0.960168i | −0.0976924 | − | 0.0709776i | ||||
\(184\) | 4.08436 | + | 10.6401i | 0.301103 | + | 0.784399i | ||||
\(185\) | −31.8679 | + | 18.3989i | −2.34297 | + | 1.35272i | ||||
\(186\) | 0.774784 | − | 3.50858i | 0.0568099 | − | 0.257261i | ||||
\(187\) | −9.95251 | + | 9.95251i | −0.727800 | + | 0.727800i | ||||
\(188\) | 1.33433 | + | 1.08052i | 0.0973160 | + | 0.0788050i | ||||
\(189\) | −0.365446 | + | 0.952019i | −0.0265823 | + | 0.0692492i | ||||
\(190\) | −0.902247 | + | 0.459718i | −0.0654559 | + | 0.0333514i | ||||
\(191\) | 0.436603 | − | 0.756218i | 0.0315915 | − | 0.0547180i | −0.849797 | − | 0.527109i | \(-0.823276\pi\) |
0.881389 | + | 0.472391i | \(0.156609\pi\) | |||||||
\(192\) | 3.45024 | + | 5.97599i | 0.248999 | + | 0.431280i | ||||
\(193\) | 0.0658542 | + | 0.0427662i | 0.00474029 | + | 0.00307838i | 0.547007 | − | 0.837128i | \(-0.315767\pi\) |
−0.542267 | + | 0.840206i | \(0.682434\pi\) | |||||||
\(194\) | −6.86565 | + | 2.23079i | −0.492925 | + | 0.160161i | ||||
\(195\) | −0.731633 | − | 22.9299i | −0.0523933 | − | 1.64204i | ||||
\(196\) | −10.3470 | + | 7.51751i | −0.739069 | + | 0.536965i | ||||
\(197\) | −8.14991 | − | 5.29261i | −0.580657 | − | 0.377083i | 0.220635 | − | 0.975356i | \(-0.429187\pi\) |
−0.801292 | + | 0.598274i | \(0.795854\pi\) | |||||||
\(198\) | 0.269645 | − | 0.605632i | 0.0191628 | − | 0.0430404i | ||||
\(199\) | 15.7908 | − | 7.03051i | 1.11938 | − | 0.498379i | 0.238225 | − | 0.971210i | \(-0.423434\pi\) |
0.881153 | + | 0.472831i | \(0.156768\pi\) | |||||||
\(200\) | −15.1378 | − | 7.71311i | −1.07041 | − | 0.545399i | ||||
\(201\) | −12.0207 | − | 4.61431i | −0.847874 | − | 0.325468i | ||||
\(202\) | 2.36085 | + | 0.906246i | 0.166109 | + | 0.0637633i | ||||
\(203\) | 0.747823 | + | 0.381035i | 0.0524869 | + | 0.0267434i | ||||
\(204\) | 10.5670 | − | 4.70473i | 0.739838 | − | 0.329397i | ||||
\(205\) | −18.4528 | + | 41.4457i | −1.28880 | + | 2.89469i | ||||
\(206\) | 1.37393 | + | 0.892242i | 0.0957264 | + | 0.0621654i | ||||
\(207\) | 2.72955 | − | 1.98313i | 0.189717 | − | 0.137837i | ||||
\(208\) | 8.00210 | + | 7.50723i | 0.554845 | + | 0.520533i | ||||
\(209\) | −2.12139 | + | 0.689280i | −0.146739 | + | 0.0476785i | ||||
\(210\) | −0.399584 | − | 0.259493i | −0.0275739 | − | 0.0179067i | ||||
\(211\) | −7.44196 | − | 12.8899i | −0.512326 | − | 0.887374i | −0.999898 | − | 0.0142914i | \(-0.995451\pi\) |
0.487572 | − | 0.873083i | \(-0.337883\pi\) | |||||||
\(212\) | 10.4487 | − | 18.0977i | 0.717621 | − | 1.24296i | ||||
\(213\) | 1.96888 | − | 1.00319i | 0.134905 | − | 0.0687378i | ||||
\(214\) | 0.0681066 | − | 0.177424i | 0.00465567 | − | 0.0121284i | ||||
\(215\) | −32.8038 | − | 26.5640i | −2.23720 | − | 1.81165i | ||||
\(216\) | −6.05635 | + | 6.05635i | −0.412082 | + | 0.412082i | ||||
\(217\) | 0.887609 | + | 0.521852i | 0.0602548 | + | 0.0354256i | ||||
\(218\) | 2.14089 | − | 1.23605i | 0.145000 | − | 0.0837156i | ||||
\(219\) | 5.58392 | + | 14.5466i | 0.377326 | + | 0.982969i | ||||
\(220\) | −21.1156 | − | 15.3414i | −1.42362 | − | 1.03432i | ||||
\(221\) | 10.7842 | − | 9.31773i | 0.725425 | − | 0.626779i | ||||
\(222\) | −5.94831 | −0.399224 | ||||||||
\(223\) | −5.59132 | + | 20.8671i | −0.374423 | + | 1.39736i | 0.479764 | + | 0.877398i | \(0.340722\pi\) |
−0.854186 | + | 0.519967i | \(0.825944\pi\) | |||||||
\(224\) | 0.784825 | − | 0.166820i | 0.0524383 | − | 0.0111461i | ||||
\(225\) | −1.04568 | + | 4.91955i | −0.0697122 | + | 0.327970i | ||||
\(226\) | 2.38145 | + | 1.21341i | 0.158412 | + | 0.0807148i | ||||
\(227\) | 2.99500 | + | 2.42530i | 0.198785 | + | 0.160973i | 0.723545 | − | 0.690277i | \(-0.242512\pi\) |
−0.524760 | + | 0.851250i | \(0.675845\pi\) | |||||||
\(228\) | 1.83059 | + | 0.0959373i | 0.121234 | + | 0.00635361i | ||||
\(229\) | −0.314768 | + | 1.98737i | −0.0208004 | + | 0.131329i | −0.995903 | − | 0.0904240i | \(-0.971178\pi\) |
0.975103 | + | 0.221753i | \(0.0711778\pi\) | |||||||
\(230\) | 4.82439 | + | 10.8357i | 0.318111 | + | 0.714488i | ||||
\(231\) | −0.779936 | − | 0.702257i | −0.0513160 | − | 0.0462051i | ||||
\(232\) | 4.43630 | + | 5.47838i | 0.291258 | + | 0.359673i | ||||
\(233\) | −6.10401 | + | 8.40144i | −0.399887 | + | 0.550397i | −0.960716 | − | 0.277535i | \(-0.910483\pi\) |
0.560829 | + | 0.827932i | \(0.310483\pi\) | |||||||
\(234\) | −0.316932 | + | 0.591758i | −0.0207185 | + | 0.0386844i | ||||
\(235\) | 3.02032 | + | 2.19439i | 0.197024 | + | 0.143146i | ||||
\(236\) | 13.7144 | − | 5.26448i | 0.892734 | − | 0.342689i | ||||
\(237\) | 7.86198 | − | 1.67112i | 0.510691 | − | 0.108551i | ||||
\(238\) | −0.0309388 | − | 0.294363i | −0.00200546 | − | 0.0190807i | ||||
\(239\) | 3.46236 | − | 6.79526i | 0.223961 | − | 0.439549i | −0.751496 | − | 0.659738i | \(-0.770667\pi\) |
0.975457 | + | 0.220189i | \(0.0706673\pi\) | |||||||
\(240\) | 10.5460 | + | 16.2394i | 0.680741 | + | 1.04825i | ||||
\(241\) | 3.92010 | + | 0.205444i | 0.252516 | + | 0.0132338i | 0.178174 | − | 0.983999i | \(-0.442981\pi\) |
0.0743418 | + | 0.997233i | \(0.476314\pi\) | |||||||
\(242\) | 0.480736 | + | 0.480736i | 0.0309029 | + | 0.0309029i | ||||
\(243\) | 4.09980 | + | 2.36702i | 0.263002 | + | 0.151844i | ||||
\(244\) | 1.84071 | − | 0.391254i | 0.117839 | − | 0.0250475i | ||||
\(245\) | −21.6119 | + | 17.5009i | −1.38073 | + | 1.11809i | ||||
\(246\) | −5.93304 | + | 4.31061i | −0.378277 | + | 0.274834i | ||||
\(247\) | 2.19316 | − | 0.539809i | 0.139547 | − | 0.0343472i | ||||
\(248\) | 5.02782 | + | 7.03640i | 0.319267 | + | 0.446812i | ||||
\(249\) | 8.10834 | + | 2.17262i | 0.513845 | + | 0.137684i | ||||
\(250\) | −8.76907 | − | 3.90424i | −0.554605 | − | 0.246926i | ||||
\(251\) | −11.9497 | + | 5.32035i | −0.754258 | + | 0.335817i | −0.747590 | − | 0.664160i | \(-0.768789\pi\) |
−0.00666817 | + | 0.999978i | \(0.502123\pi\) | |||||||
\(252\) | −0.0708792 | − | 0.139108i | −0.00446497 | − | 0.00876299i | ||||
\(253\) | 6.76229 | + | 25.2372i | 0.425142 | + | 1.58665i | ||||
\(254\) | −0.306856 | − | 1.14520i | −0.0192538 | − | 0.0718563i | ||||
\(255\) | 22.4097 | − | 11.4183i | 1.40335 | − | 0.715043i | ||||
\(256\) | −4.33885 | − | 0.922251i | −0.271178 | − | 0.0576407i | ||||
\(257\) | 2.85879 | + | 2.57407i | 0.178326 | + | 0.160566i | 0.753460 | − | 0.657494i | \(-0.228383\pi\) |
−0.575134 | + | 0.818059i | \(0.695050\pi\) | |||||||
\(258\) | −2.44524 | − | 6.37006i | −0.152234 | − | 0.396583i | ||||
\(259\) | 0.526739 | − | 1.62114i | 0.0327300 | − | 0.100732i | ||||
\(260\) | 20.1943 | + | 17.0489i | 1.25240 | + | 1.05733i | ||||
\(261\) | 1.22661 | − | 1.68828i | 0.0759253 | − | 0.104502i | ||||
\(262\) | −0.456753 | − | 8.71536i | −0.0282183 | − | 0.538437i | ||||
\(263\) | −12.7809 | − | 1.34333i | −0.788106 | − | 0.0828332i | −0.298080 | − | 0.954541i | \(-0.596346\pi\) |
−0.490026 | + | 0.871708i | \(0.663013\pi\) | |||||||
\(264\) | −3.58534 | − | 8.05280i | −0.220662 | − | 0.495616i | ||||
\(265\) | 20.6288 | − | 40.4863i | 1.26722 | − | 2.48705i | ||||
\(266\) | 0.0168099 | − | 0.0437912i | 0.00103068 | − | 0.00268501i | ||||
\(267\) | −12.8755 | + | 15.8999i | −0.787968 | + | 0.973060i | ||||
\(268\) | 13.2163 | − | 6.73404i | 0.807314 | − | 0.411347i | ||||
\(269\) | 18.9233 | − | 1.98892i | 1.15377 | − | 0.121266i | 0.491741 | − | 0.870742i | \(-0.336361\pi\) |
0.662032 | + | 0.749475i | \(0.269694\pi\) | |||||||
\(270\) | −5.96446 | + | 6.62420i | −0.362985 | + | 0.403136i | ||||
\(271\) | −1.18538 | − | 22.6185i | −0.0720070 | − | 1.37397i | −0.760786 | − | 0.649003i | \(-0.775186\pi\) |
0.688779 | − | 0.724972i | \(-0.258147\pi\) | |||||||
\(272\) | −3.71718 | + | 11.4403i | −0.225387 | + | 0.693671i | ||||
\(273\) | 0.735914 | + | 0.766666i | 0.0445395 | + | 0.0464007i | ||||
\(274\) | 0.779252i | 0.0470763i | ||||||||
\(275\) | −32.6646 | − | 21.2126i | −1.96975 | − | 1.27917i | ||||
\(276\) | 2.24443 | − | 21.3543i | 0.135099 | − | 1.28538i | ||||
\(277\) | 1.29981 | + | 12.3669i | 0.0780981 | + | 0.743054i | 0.961568 | + | 0.274566i | \(0.0885342\pi\) |
−0.883470 | + | 0.468488i | \(0.844799\pi\) | |||||||
\(278\) | −3.93399 | − | 3.93399i | −0.235945 | − | 0.235945i | ||||
\(279\) | 1.62680 | − | 1.97680i | 0.0973938 | − | 0.118348i | ||||
\(280\) | 1.10767 | − | 0.296800i | 0.0661961 | − | 0.0177372i | ||||
\(281\) | −19.8951 | − | 3.15108i | −1.18684 | − | 0.187977i | −0.468370 | − | 0.883533i | \(-0.655158\pi\) |
−0.718473 | + | 0.695555i | \(0.755158\pi\) | |||||||
\(282\) | 0.245459 | + | 0.551310i | 0.0146169 | + | 0.0328300i | ||||
\(283\) | −0.832877 | − | 3.91838i | −0.0495094 | − | 0.232923i | 0.946435 | − | 0.322894i | \(-0.104656\pi\) |
−0.995944 | + | 0.0899710i | \(0.971323\pi\) | |||||||
\(284\) | −0.658849 | + | 2.45886i | −0.0390955 | + | 0.145906i | ||||
\(285\) | 3.98586 | 0.236102 | ||||||||
\(286\) | −3.39865 | − | 3.93355i | −0.200966 | − | 0.232595i | ||||
\(287\) | −0.649414 | − | 1.99869i | −0.0383337 | − | 0.117979i | ||||
\(288\) | −0.104409 | − | 1.99224i | −0.00615237 | − | 0.117394i | ||||
\(289\) | −1.25651 | − | 0.559436i | −0.0739125 | − | 0.0329080i | ||||
\(290\) | 4.90902 | + | 5.45202i | 0.288267 | + | 0.320153i | ||||
\(291\) | 28.0655 | + | 4.44514i | 1.64523 | + | 0.260578i | ||||
\(292\) | −16.7577 | − | 6.43266i | −0.980667 | − | 0.376443i | ||||
\(293\) | 15.8008 | + | 24.3311i | 0.923092 | + | 1.42144i | 0.906796 | + | 0.421569i | \(0.138521\pi\) |
0.0162953 | + | 0.999867i | \(0.494813\pi\) | |||||||
\(294\) | −4.43997 | + | 0.703222i | −0.258944 | + | 0.0410128i | ||||
\(295\) | 29.1804 | − | 12.9919i | 1.69895 | − | 0.756420i | ||||
\(296\) | 9.57978 | − | 10.6394i | 0.556813 | − | 0.618404i | ||||
\(297\) | −15.2592 | + | 12.3566i | −0.885428 | + | 0.717005i | ||||
\(298\) | 0.170156 | + | 0.234199i | 0.00985686 | + | 0.0135668i | ||||
\(299\) | −4.96987 | − | 25.9851i | −0.287415 | − | 1.50276i | ||||
\(300\) | 18.8139 | + | 25.8951i | 1.08622 | + | 1.49505i | ||||
\(301\) | 1.95261 | − | 0.102332i | 0.112547 | − | 0.00589832i | ||||
\(302\) | 2.21579 | + | 1.99510i | 0.127504 | + | 0.114805i | ||||
\(303\) | −6.66047 | − | 7.39720i | −0.382634 | − | 0.424958i | ||||
\(304\) | −1.34798 | + | 1.34798i | −0.0773118 | + | 0.0773118i | ||||
\(305\) | 3.95237 | − | 1.05903i | 0.226312 | − | 0.0606401i | ||||
\(306\) | −0.734926 | − | 0.0385158i | −0.0420129 | − | 0.00220180i | ||||
\(307\) | 4.77502 | + | 30.1483i | 0.272525 | + | 1.72065i | 0.621408 | + | 0.783487i | \(0.286561\pi\) |
−0.348883 | + | 0.937166i | \(0.613439\pi\) | |||||||
\(308\) | 1.20241 | − | 0.126378i | 0.0685134 | − | 0.00720105i | ||||
\(309\) | −3.22419 | − | 5.58446i | −0.183418 | − | 0.317689i | ||||
\(310\) | 5.60863 | + | 7.03904i | 0.318549 | + | 0.399791i | ||||
\(311\) | − | 2.32516i | − | 0.131848i | −0.997825 | − | 0.0659238i | \(-0.979001\pi\) | ||
0.997825 | − | 0.0659238i | \(-0.0209994\pi\) | |||||||
\(312\) | 3.02753 | + | 8.39662i | 0.171400 | + | 0.475365i | ||||
\(313\) | 5.75337 | − | 7.91883i | 0.325199 | − | 0.447599i | −0.614846 | − | 0.788647i | \(-0.710782\pi\) |
0.940046 | + | 0.341048i | \(0.110782\pi\) | |||||||
\(314\) | −2.57478 | + | 3.96481i | −0.145303 | + | 0.223747i | ||||
\(315\) | −0.169737 | − | 0.293993i | −0.00956358 | − | 0.0165646i | ||||
\(316\) | −4.62966 | + | 8.01881i | −0.260439 | + | 0.451093i | ||||
\(317\) | −3.34626 | − | 6.56740i | −0.187944 | − | 0.368862i | 0.777738 | − | 0.628589i | \(-0.216367\pi\) |
−0.965682 | + | 0.259727i | \(0.916367\pi\) | |||||||
\(318\) | 6.16012 | − | 4.00043i | 0.345442 | − | 0.224333i | ||||
\(319\) | 8.80159 | + | 13.5533i | 0.492795 | + | 0.758837i | ||||
\(320\) | −17.0720 | − | 2.70394i | −0.954354 | − | 0.151155i | ||||
\(321\) | −0.555917 | + | 0.500550i | −0.0310283 | + | 0.0279380i | ||||
\(322\) | −0.501937 | − | 0.223477i | −0.0279718 | − | 0.0124539i | ||||
\(323\) | 1.55828 | + | 1.92432i | 0.0867051 | + | 0.107072i | ||||
\(324\) | 12.9377 | − | 4.20373i | 0.718764 | − | 0.233541i | ||||
\(325\) | 31.4250 | + | 23.8290i | 1.74314 | + | 1.32180i | ||||
\(326\) | 1.44526 | + | 1.05005i | 0.0800457 | + | 0.0581566i | ||||
\(327\) | −9.71730 | + | 0.509262i | −0.537368 | + | 0.0281623i | ||||
\(328\) | 1.84504 | − | 17.5544i | 0.101875 | − | 0.969278i | ||||
\(329\) | −0.171988 | + | 0.0180767i | −0.00948203 | + | 0.000996602i | ||||
\(330\) | −4.16484 | − | 8.17395i | −0.229267 | − | 0.449961i | ||||
\(331\) | 12.9390 | − | 15.9783i | 0.711191 | − | 0.878248i | −0.285595 | − | 0.958350i | \(-0.592191\pi\) |
0.996787 | + | 0.0801021i | \(0.0255246\pi\) | |||||||
\(332\) | −8.11019 | + | 5.26682i | −0.445104 | + | 0.289054i | ||||
\(333\) | −3.77628 | − | 1.92411i | −0.206939 | − | 0.105441i | ||||
\(334\) | −3.34885 | + | 3.01531i | −0.183241 | + | 0.164991i | ||||
\(335\) | 27.9315 | − | 16.1262i | 1.52606 | − | 0.881071i | ||||
\(336\) | −0.866389 | − | 0.232148i | −0.0472654 | − | 0.0126647i | ||||
\(337\) | −8.88252 | + | 27.3376i | −0.483862 | + | 1.48917i | 0.349761 | + | 0.936839i | \(0.386263\pi\) |
−0.833623 | + | 0.552334i | \(0.813737\pi\) | |||||||
\(338\) | 3.14247 | + | 4.22285i | 0.170928 | + | 0.229693i | ||||
\(339\) | −6.18381 | − | 8.51129i | −0.335859 | − | 0.462270i | ||||
\(340\) | −7.49900 | + | 27.9866i | −0.406690 | + | 1.51779i | ||||
\(341\) | 9.77684 | + | 17.2471i | 0.529446 | + | 0.933986i | ||||
\(342\) | −0.101003 | − | 0.0583143i | −0.00546163 | − | 0.00315328i | ||||
\(343\) | 0.404024 | − | 2.55091i | 0.0218152 | − | 0.137736i | ||||
\(344\) | 15.3319 | + | 5.88535i | 0.826638 | + | 0.317317i | ||||
\(345\) | 2.44346 | − | 46.6241i | 0.131552 | − | 2.51015i | ||||
\(346\) | 4.95627 | + | 4.95627i | 0.266451 | + | 0.266451i | ||||
\(347\) | −4.44507 | − | 2.56636i | −0.238624 | − | 0.137769i | 0.375920 | − | 0.926652i | \(-0.377327\pi\) |
−0.614544 | + | 0.788883i | \(0.710660\pi\) | |||||||
\(348\) | −2.76125 | − | 12.9907i | −0.148018 | − | 0.696372i | ||||
\(349\) | 1.47391 | − | 0.0772441i | 0.0788963 | − | 0.00413478i | −0.0128469 | − | 0.999917i | \(-0.504089\pi\) |
0.0917433 | + | 0.995783i | \(0.470756\pi\) | |||||||
\(350\) | 0.778957 | − | 0.253099i | 0.0416370 | − | 0.0135287i | ||||
\(351\) | 16.3205 | − | 11.3547i | 0.871125 | − | 0.606069i | ||||
\(352\) | 14.6930 | + | 4.77403i | 0.783138 | + | 0.254457i | ||||
\(353\) | 2.81827 | + | 7.34185i | 0.150002 | + | 0.390767i | 0.987907 | − | 0.155048i | \(-0.0495533\pi\) |
−0.837905 | + | 0.545816i | \(0.816220\pi\) | |||||||
\(354\) | 5.13506 | + | 0.539717i | 0.272925 | + | 0.0286856i | ||||
\(355\) | −1.15081 | + | 5.41413i | −0.0610785 | + | 0.287352i | ||||
\(356\) | −3.68703 | − | 23.2790i | −0.195412 | − | 1.23378i | ||||
\(357\) | −0.417518 | + | 1.08767i | −0.0220974 | + | 0.0575657i | ||||
\(358\) | −0.734703 | + | 0.477121i | −0.0388302 | + | 0.0252167i | ||||
\(359\) | −3.61272 | − | 22.8098i | −0.190672 | − | 1.20386i | −0.878414 | − | 0.477900i | \(-0.841398\pi\) |
0.687742 | − | 0.725955i | \(-0.258602\pi\) | |||||||
\(360\) | −0.298038 | − | 2.83565i | −0.0157080 | − | 0.149452i | ||||
\(361\) | −3.86874 | − | 18.2010i | −0.203618 | − | 0.957946i | ||||
\(362\) | −3.27407 | + | 1.25680i | −0.172081 | + | 0.0660558i | ||||
\(363\) | −0.826954 | − | 2.54510i | −0.0434038 | − | 0.133583i | ||||
\(364\) | −1.22361 | + | 0.0390422i | −0.0641347 | + | 0.00204637i | ||||
\(365\) | −37.1195 | − | 12.0608i | −1.94292 | − | 0.631294i | ||||
\(366\) | 0.638893 | + | 0.171191i | 0.0333955 | + | 0.00894830i | ||||
\(367\) | −25.2542 | + | 14.5805i | −1.31826 | + | 0.761097i | −0.983448 | − | 0.181189i | \(-0.942006\pi\) |
−0.334810 | + | 0.942286i | \(0.608672\pi\) | |||||||
\(368\) | 14.9414 | + | 16.5941i | 0.778876 | + | 0.865030i | ||||
\(369\) | −5.16095 | + | 0.817414i | −0.268668 | + | 0.0425529i | ||||
\(370\) | 9.37671 | − | 11.5793i | 0.487472 | − | 0.601978i | ||||
\(371\) | 0.544770 | + | 2.03311i | 0.0282831 | + | 0.105554i | ||||
\(372\) | −2.42159 | − | 16.1119i | −0.125554 | − | 0.835365i | ||||
\(373\) | −3.26362 | + | 5.65275i | −0.168984 | + | 0.292688i | −0.938063 | − | 0.346465i | \(-0.887382\pi\) |
0.769079 | + | 0.639154i | \(0.220715\pi\) | |||||||
\(374\) | 2.31802 | − | 5.20636i | 0.119862 | − | 0.269214i | ||||
\(375\) | 23.7778 | + | 29.3632i | 1.22788 | + | 1.51631i | ||||
\(376\) | −1.38141 | − | 0.448848i | −0.0712408 | − | 0.0231476i | ||||
\(377\) | −7.89015 | − | 14.3358i | −0.406363 | − | 0.738331i | ||||
\(378\) | − | 0.412905i | − | 0.0212375i | ||||||
\(379\) | −5.42506 | + | 8.35386i | −0.278667 | + | 0.429109i | −0.950095 | − | 0.311960i | \(-0.899014\pi\) |
0.671428 | + | 0.741069i | \(0.265681\pi\) | |||||||
\(380\) | −3.07244 | + | 3.41229i | −0.157613 | + | 0.175047i | ||||
\(381\) | −0.970272 | + | 4.56477i | −0.0497085 | + | 0.233860i | ||||
\(382\) | −0.0553102 | + | 0.349215i | −0.00282991 | + | 0.0178674i | ||||
\(383\) | −0.265602 | + | 5.06799i | −0.0135716 | + | 0.258962i | 0.983414 | + | 0.181375i | \(0.0580549\pi\) |
−0.996986 | + | 0.0775870i | \(0.975278\pi\) | |||||||
\(384\) | −12.9193 | − | 10.4619i | −0.659287 | − | 0.533880i | ||||
\(385\) | 2.59651 | − | 0.411247i | 0.132331 | − | 0.0209591i | ||||
\(386\) | −0.0310994 | − | 0.00661039i | −0.00158292 | − | 0.000336460i | ||||
\(387\) | 0.508178 | − | 4.83499i | 0.0258321 | − | 0.245776i | ||||
\(388\) | −25.4394 | + | 20.6004i | −1.29149 | + | 1.04583i | ||||
\(389\) | 10.7777 | + | 33.1703i | 0.546450 | + | 1.68180i | 0.717516 | + | 0.696542i | \(0.245279\pi\) |
−0.171066 | + | 0.985260i | \(0.554721\pi\) | |||||||
\(390\) | 3.60383 | + | 8.56166i | 0.182487 | + | 0.433537i | ||||
\(391\) | 23.4647 | − | 17.0481i | 1.18666 | − | 0.862161i | ||||
\(392\) | 5.89278 | − | 9.07408i | 0.297630 | − | 0.458310i | ||||
\(393\) | −13.9724 | + | 31.3825i | −0.704815 | + | 1.58304i | ||||
\(394\) | 3.84877 | + | 0.818081i | 0.193898 | + | 0.0412143i | ||||
\(395\) | −9.14029 | + | 17.9388i | −0.459898 | + | 0.902600i | ||||
\(396\) | 0.157328 | − | 3.00200i | 0.00790604 | − | 0.150856i | ||||
\(397\) | 21.9333 | − | 5.87700i | 1.10080 | − | 0.294958i | 0.337709 | − | 0.941251i | \(-0.390348\pi\) |
0.763090 | + | 0.646292i | \(0.223681\pi\) | |||||||
\(398\) | −4.94897 | + | 4.94897i | −0.248069 | + | 0.248069i | ||||
\(399\) | −0.137210 | + | 0.123544i | −0.00686908 | + | 0.00618495i | ||||
\(400\) | −33.1043 | − | 3.47940i | −1.65521 | − | 0.173970i | ||||
\(401\) | 30.5473 | − | 11.7260i | 1.52546 | − | 0.585569i | 0.556077 | − | 0.831131i | \(-0.312306\pi\) |
0.969381 | + | 0.245562i | \(0.0789725\pi\) | |||||||
\(402\) | 5.21355 | 0.260028 | ||||||||
\(403\) | −8.60290 | − | 18.1381i | −0.428541 | − | 0.903522i | ||||
\(404\) | 11.4669 | 0.570499 | ||||||||
\(405\) | 27.6146 | − | 10.6002i | 1.37218 | − | 0.526730i | ||||
\(406\) | −0.337978 | − | 0.0355229i | −0.0167736 | − | 0.00176297i | ||||
\(407\) | 24.3905 | − | 21.9613i | 1.20899 | − | 1.08858i | ||||
\(408\) | −6.91931 | + | 6.91931i | −0.342557 | + | 0.342557i | ||||
\(409\) | −7.40479 | + | 1.98411i | −0.366143 | + | 0.0981078i | −0.437200 | − | 0.899364i | \(-0.644030\pi\) |
0.0710562 | + | 0.997472i | \(0.477363\pi\) | |||||||
\(410\) | 0.961403 | − | 18.3447i | 0.0474803 | − | 0.905978i | ||||
\(411\) | 1.39252 | − | 2.73298i | 0.0686880 | − | 0.134808i | ||||
\(412\) | 7.26619 | + | 1.54448i | 0.357979 | + | 0.0760908i | ||||
\(413\) | −0.601816 | + | 1.35170i | −0.0296134 | + | 0.0665129i | ||||
\(414\) | −0.744043 | + | 1.14573i | −0.0365677 | + | 0.0563093i | ||||
\(415\) | −17.0111 | + | 12.3593i | −0.835040 | + | 0.606692i | ||||
\(416\) | −14.4866 | − | 5.90375i | −0.710264 | − | 0.289455i | ||||
\(417\) | 6.76718 | + | 20.8272i | 0.331390 | + | 1.01991i | ||||
\(418\) | 0.701895 | − | 0.568383i | 0.0343308 | − | 0.0278005i | ||||
\(419\) | 0.423244 | − | 4.02690i | 0.0206768 | − | 0.196727i | −0.979307 | − | 0.202379i | \(-0.935133\pi\) |
0.999984 | + | 0.00565259i | \(0.00179928\pi\) | |||||||
\(420\) | −2.11324 | − | 0.449183i | −0.103116 | − | 0.0219179i | ||||
\(421\) | −19.9258 | + | 3.15594i | −0.971126 | + | 0.153811i | −0.621788 | − | 0.783186i | \(-0.713593\pi\) |
−0.349338 | + | 0.936997i | \(0.613593\pi\) | |||||||
\(422\) | 4.68356 | + | 3.79267i | 0.227992 | + | 0.184624i | ||||
\(423\) | −0.0225038 | + | 0.429397i | −0.00109417 | + | 0.0208780i | ||||
\(424\) | −2.76555 | + | 17.4610i | −0.134307 | + | 0.847980i | ||||
\(425\) | −8.98929 | + | 42.2913i | −0.436045 | + | 2.05143i | ||||
\(426\) | −0.598695 | + | 0.664918i | −0.0290069 | + | 0.0322154i | ||||
\(427\) | −0.103232 | + | 0.158963i | −0.00499573 | + | 0.00769275i | ||||
\(428\) | − | 0.861763i | − | 0.0416549i | ||||||
\(429\) | 4.89042 | + | 19.8690i | 0.236112 | + | 0.959285i | ||||
\(430\) | 16.2549 | + | 5.28153i | 0.783880 | + | 0.254698i | ||||
\(431\) | −13.4450 | − | 16.6032i | −0.647622 | − | 0.799747i | 0.342565 | − | 0.939494i | \(-0.388704\pi\) |
−0.990187 | + | 0.139747i | \(0.955371\pi\) | |||||||
\(432\) | −6.82537 | + | 15.3300i | −0.328386 | + | 0.737566i | ||||
\(433\) | 6.99531 | − | 12.1162i | 0.336173 | − | 0.582269i | −0.647536 | − | 0.762035i | \(-0.724201\pi\) |
0.983709 | + | 0.179766i | \(0.0575339\pi\) | |||||||
\(434\) | −0.411252 | − | 0.0684698i | −0.0197407 | − | 0.00328666i | ||||
\(435\) | −7.47406 | − | 27.8936i | −0.358354 | − | 1.33740i | ||||
\(436\) | 7.05447 | − | 8.71155i | 0.337848 | − | 0.417207i | ||||
\(437\) | 4.53988 | − | 0.719046i | 0.217172 | − | 0.0343966i | ||||
\(438\) | −4.22160 | − | 4.68856i | −0.201716 | − | 0.224028i | ||||
\(439\) | −17.1292 | + | 9.88957i | −0.817534 | + | 0.472003i | −0.849565 | − | 0.527483i | \(-0.823136\pi\) |
0.0320313 | + | 0.999487i | \(0.489802\pi\) | |||||||
\(440\) | 21.3278 | + | 5.71477i | 1.01676 | + | 0.272441i | ||||
\(441\) | −3.04618 | − | 0.989765i | −0.145056 | − | 0.0471317i | ||||
\(442\) | −2.72453 | + | 5.08709i | −0.129592 | + | 0.241968i | ||||
\(443\) | −7.18193 | − | 22.1037i | −0.341224 | − | 1.05018i | −0.963574 | − | 0.267441i | \(-0.913822\pi\) |
0.622350 | − | 0.782739i | \(-0.286178\pi\) | |||||||
\(444\) | −25.1810 | + | 9.66609i | −1.19504 | + | 0.458732i | ||||
\(445\) | −10.6551 | − | 50.1282i | −0.505099 | − | 2.37631i | ||||
\(446\) | −0.914343 | − | 8.69939i | −0.0432954 | − | 0.411928i | ||||
\(447\) | −0.178253 | − | 1.12545i | −0.00843109 | − | 0.0532318i | ||||
\(448\) | 0.671500 | − | 0.436077i | 0.0317254 | − | 0.0206027i | ||||
\(449\) | 6.77845 | − | 17.6585i | 0.319895 | − | 0.833355i | −0.675488 | − | 0.737371i | \(-0.736067\pi\) |
0.995383 | − | 0.0959838i | \(-0.0305997\pi\) | |||||||
\(450\) | −0.318574 | − | 2.01140i | −0.0150177 | − | 0.0948181i | ||||
\(451\) | 8.41304 | − | 39.5803i | 0.396155 | − | 1.86376i | ||||
\(452\) | 12.0532 | + | 1.26685i | 0.566936 | + | 0.0595874i | ||||
\(453\) | −4.20591 | − | 10.9568i | −0.197611 | − | 0.514795i | ||||
\(454\) | −1.48408 | − | 0.482206i | −0.0696512 | − | 0.0226310i | ||||
\(455\) | −2.65250 | + | 0.224021i | −0.124351 | + | 0.0105022i | ||||
\(456\) | −1.47486 | + | 0.479210i | −0.0690665 | + | 0.0224411i | ||||
\(457\) | −7.35080 | + | 0.385239i | −0.343856 | + | 0.0180207i | −0.223483 | − | 0.974708i | \(-0.571743\pi\) |
−0.120374 | + | 0.992729i | \(0.538409\pi\) | |||||||
\(458\) | −0.169392 | − | 0.796927i | −0.00791517 | − | 0.0372379i | ||||
\(459\) | 18.8764 | + | 10.8983i | 0.881077 | + | 0.508690i | ||||
\(460\) | 38.0314 | + | 38.0314i | 1.77322 | + | 1.77322i | ||||
\(461\) | −0.861030 | + | 16.4294i | −0.0401022 | + | 0.765195i | 0.902381 | + | 0.430940i | \(0.141818\pi\) |
−0.942483 | + | 0.334255i | \(0.891515\pi\) | |||||||
\(462\) | 0.396728 | + | 0.152290i | 0.0184575 | + | 0.00708516i | ||||
\(463\) | −0.364524 | + | 2.30152i | −0.0169409 | + | 0.106961i | −0.994710 | − | 0.102725i | \(-0.967244\pi\) |
0.977769 | + | 0.209685i | \(0.0672439\pi\) | |||||||
\(464\) | 11.9610 | + | 6.90568i | 0.555275 | + | 0.320588i | ||||
\(465\) | −7.09174 | − | 34.7098i | −0.328872 | − | 1.60963i | ||||
\(466\) | 1.08830 | − | 4.06159i | 0.0504145 | − | 0.188150i | ||||
\(467\) | 17.3884 | + | 23.9330i | 0.804638 | + | 1.10749i | 0.992129 | + | 0.125223i | \(0.0399646\pi\) |
−0.187491 | + | 0.982266i | \(0.560035\pi\) | |||||||
\(468\) | −0.380054 | + | 3.02011i | −0.0175680 | + | 0.139605i | ||||
\(469\) | −0.461674 | + | 1.42089i | −0.0213181 | + | 0.0656105i | ||||
\(470\) | −1.46014 | − | 0.391244i | −0.0673513 | − | 0.0180467i | ||||
\(471\) | 16.1153 | − | 9.30417i | 0.742554 | − | 0.428714i | ||||
\(472\) | −9.23540 | + | 8.31559i | −0.425094 | + | 0.382756i | ||||
\(473\) | 33.5449 | + | 17.0920i | 1.54240 | + | 0.785891i | ||||
\(474\) | −2.72945 | + | 1.77253i | −0.125368 | + | 0.0814148i | ||||
\(475\) | −4.31206 | + | 5.32494i | −0.197851 | + | 0.244325i | ||||
\(476\) | −0.609318 | − | 1.19585i | −0.0279280 | − | 0.0548119i | ||||
\(477\) | 5.20477 | − | 0.547043i | 0.238310 | − | 0.0250474i | ||||
\(478\) | −0.322787 | + | 3.07111i | −0.0147639 | + | 0.140469i | ||||
\(479\) | 30.4686 | − | 1.59679i | 1.39214 | − | 0.0729592i | 0.658545 | − | 0.752542i | \(-0.271172\pi\) |
0.733599 | + | 0.679582i | \(0.237839\pi\) | |||||||
\(480\) | −22.3341 | − | 16.2267i | −1.01941 | − | 0.740643i | ||||
\(481\) | −26.2498 | + | 20.3817i | −1.19689 | + | 0.929323i | ||||
\(482\) | −1.51166 | + | 0.491169i | −0.0688543 | + | 0.0223721i | ||||
\(483\) | 1.36103 | + | 1.68073i | 0.0619290 | + | 0.0764760i | ||||
\(484\) | 2.81631 | + | 1.25390i | 0.128014 | + | 0.0569955i | ||||
\(485\) | −52.8946 | + | 47.6265i | −2.40182 | + | 2.16261i | ||||
\(486\) | −1.89325 | − | 0.299861i | −0.0858795 | − | 0.0136020i | ||||
\(487\) | 5.81220 | + | 8.95001i | 0.263376 | + | 0.405564i | 0.945474 | − | 0.325697i | \(-0.105599\pi\) |
−0.682098 | + | 0.731261i | \(0.738932\pi\) | |||||||
\(488\) | −1.33514 | + | 0.867051i | −0.0604390 | + | 0.0392495i | ||||
\(489\) | −3.19237 | − | 6.26538i | −0.144364 | − | 0.283330i | ||||
\(490\) | 5.63009 | − | 9.75161i | 0.254342 | − | 0.440533i | ||||
\(491\) | 11.8515 | + | 20.5274i | 0.534850 | + | 0.926387i | 0.999171 | + | 0.0407199i | \(0.0129651\pi\) |
−0.464321 | + | 0.885667i | \(0.653702\pi\) | |||||||
\(492\) | −18.1116 | + | 27.8894i | −0.816534 | + | 1.25735i | ||||
\(493\) | 10.5446 | − | 14.5135i | 0.474907 | − | 0.653653i | ||||
\(494\) | −0.750714 | + | 0.522295i | −0.0337762 | + | 0.0234992i | ||||
\(495\) | − | 6.53643i | − | 0.293791i | ||||||
\(496\) | 14.1369 | + | 9.34014i | 0.634763 | + | 0.419385i | ||||
\(497\) | −0.128199 | − | 0.222047i | −0.00575050 | − | 0.00996017i | ||||
\(498\) | −3.38033 | + | 0.355287i | −0.151476 | + | 0.0159208i | ||||
\(499\) | 2.02717 | + | 12.7991i | 0.0907487 | + | 0.572964i | 0.990602 | + | 0.136773i | \(0.0436730\pi\) |
−0.899854 | + | 0.436192i | \(0.856327\pi\) | |||||||
\(500\) | −43.4666 | − | 2.27799i | −1.94389 | − | 0.101875i | ||||
\(501\) | 17.1334 | − | 4.59087i | 0.765462 | − | 0.205105i | ||||
\(502\) | 3.74514 | − | 3.74514i | 0.167154 | − | 0.167154i | ||||
\(503\) | −12.3628 | − | 13.7302i | −0.551229 | − | 0.612201i | 0.401561 | − | 0.915832i | \(-0.368468\pi\) |
−0.952790 | + | 0.303631i | \(0.901801\pi\) | |||||||
\(504\) | 0.0981525 | + | 0.0883769i | 0.00437206 | + | 0.00393662i | ||||
\(505\) | 24.8991 | − | 1.30491i | 1.10800 | − | 0.0580676i | ||||
\(506\) | −6.21831 | − | 8.55877i | −0.276438 | − | 0.380484i | ||||
\(507\) | −3.47498 | − | 20.4259i | −0.154329 | − | 0.907145i | ||||
\(508\) | −3.15998 | − | 4.34934i | −0.140202 | − | 0.192971i | ||||
\(509\) | 5.53501 | − | 4.48216i | 0.245335 | − | 0.198668i | −0.498764 | − | 0.866738i | \(-0.666212\pi\) |
0.744099 | + | 0.668070i | \(0.232879\pi\) | |||||||
\(510\) | −6.81432 | + | 7.56807i | −0.301743 | + | 0.335120i | ||||
\(511\) | 1.65164 | − | 0.735358i | 0.0730643 | − | 0.0325303i | ||||
\(512\) | 22.3781 | − | 3.54434i | 0.988982 | − | 0.156639i | ||||
\(513\) | 1.88133 | + | 2.89699i | 0.0830626 | + | 0.127905i | ||||
\(514\) | −1.45417 | − | 0.558205i | −0.0641409 | − | 0.0246214i | ||||
\(515\) | 15.9535 | + | 2.52679i | 0.702995 | + | 0.111344i | ||||
\(516\) | −20.7029 | − | 22.9929i | −0.911394 | − | 1.01221i | ||||
\(517\) | −3.04194 | − | 1.35436i | −0.133784 | − | 0.0595645i | ||||
\(518\) | 0.0361218 | + | 0.689245i | 0.00158710 | + | 0.0302837i | ||||
\(519\) | −8.52568 | − | 26.2394i | −0.374236 | − | 1.15178i | ||||
\(520\) | −21.1178 | − | 7.34261i | −0.926076 | − | 0.321995i | ||||
\(521\) | 4.58786 | 0.200998 | 0.100499 | − | 0.994937i | \(-0.467956\pi\) | ||||
0.100499 | + | 0.994937i | \(0.467956\pi\) | |||||||
\(522\) | −0.218696 | + | 0.816183i | −0.00957205 | + | 0.0357234i | ||||
\(523\) | −8.56163 | − | 40.2793i | −0.374374 | − | 1.76129i | −0.612906 | − | 0.790156i | \(-0.709999\pi\) |
0.238532 | − | 0.971135i | \(-0.423334\pi\) | |||||||
\(524\) | −16.0962 | − | 36.1526i | −0.703164 | − | 1.57933i | ||||
\(525\) | −3.18423 | − | 0.504332i | −0.138971 | − | 0.0220109i | ||||
\(526\) | 5.02629 | − | 1.34679i | 0.219157 | − | 0.0587229i | ||||
\(527\) | 13.9849 | − | 16.9937i | 0.609191 | − | 0.740256i | ||||
\(528\) | −12.2121 | − | 12.2121i | −0.531462 | − | 0.531462i | ||||
\(529\) | −3.22370 | − | 30.6714i | −0.140161 | − | 1.33354i | ||||
\(530\) | −1.92317 | + | 18.2977i | −0.0835372 | + | 0.794803i | ||||
\(531\) | 3.08540 | + | 2.00369i | 0.133895 | + | 0.0869525i | ||||
\(532\) | − | 0.212698i | − | 0.00922162i | ||||||
\(533\) | −11.4123 | + | 39.3520i | −0.494322 | + | 1.70453i | ||||
\(534\) | 2.55995 | − | 7.87871i | 0.110780 | − | 0.340945i | ||||
\(535\) | −0.0980669 | − | 1.87123i | −0.00423980 | − | 0.0809002i | ||||
\(536\) | −8.39646 | + | 9.32521i | −0.362672 | + | 0.402788i | ||||
\(537\) | 3.42935 | − | 0.360439i | 0.147987 | − | 0.0155541i | ||||
\(538\) | −6.86466 | + | 3.49772i | −0.295957 | + | 0.150797i | ||||
\(539\) | 15.6094 | − | 19.2760i | 0.672345 | − | 0.830277i | ||||
\(540\) | −14.4850 | + | 37.7346i | −0.623334 | + | 1.62384i | ||||
\(541\) | −8.36269 | + | 16.4127i | −0.359540 | + | 0.705638i | −0.997946 | − | 0.0640626i | \(-0.979594\pi\) |
0.638406 | + | 0.769700i | \(0.279594\pi\) | |||||||
\(542\) | 3.73017 | + | 8.37810i | 0.160224 | + | 0.359870i | ||||
\(543\) | 13.7286 | + | 1.44294i | 0.589152 | + | 0.0619224i | ||||
\(544\) | −0.897561 | − | 17.1265i | −0.0384826 | − | 0.734292i | ||||
\(545\) | 14.3267 | − | 19.7190i | 0.613687 | − | 0.844668i | ||||
\(546\) | −0.389434 | − | 0.183025i | −0.0166662 | − | 0.00783275i | ||||
\(547\) | −1.42999 | + | 4.40104i | −0.0611418 | + | 0.188175i | −0.976962 | − | 0.213414i | \(-0.931542\pi\) |
0.915820 | + | 0.401589i | \(0.131542\pi\) | |||||||
\(548\) | 1.26630 | + | 3.29881i | 0.0540935 | + | 0.140918i | ||||
\(549\) | 0.350225 | + | 0.315344i | 0.0149473 | + | 0.0134586i | ||||
\(550\) | 15.4258 | + | 3.27885i | 0.657757 | + | 0.139810i | ||||
\(551\) | 2.53314 | − | 1.29070i | 0.107916 | − | 0.0549857i | ||||
\(552\) | 4.70136 | + | 17.5457i | 0.200103 | + | 0.746796i | ||||
\(553\) | −0.241379 | − | 0.900839i | −0.0102645 | − | 0.0383076i | ||||
\(554\) | −2.28585 | − | 4.48624i | −0.0971167 | − | 0.190602i | ||||
\(555\) | −53.5779 | + | 23.8544i | −2.27426 | + | 1.01256i | ||||
\(556\) | −23.0466 | − | 10.2610i | −0.977394 | − | 0.435164i | ||||
\(557\) | 13.8179 | + | 3.70249i | 0.585482 | + | 0.156879i | 0.539388 | − | 0.842058i | \(-0.318656\pi\) |
0.0460946 | + | 0.998937i | \(0.485322\pi\) | |||||||
\(558\) | −0.328107 | + | 0.983315i | −0.0138899 | + | 0.0416270i | ||||
\(559\) | −32.6176 | − | 19.7325i | −1.37958 | − | 0.834595i | ||||
\(560\) | 1.81766 | − | 1.32061i | 0.0768101 | − | 0.0558058i | ||||
\(561\) | −17.4334 | + | 14.1173i | −0.736041 | + | 0.596034i | ||||
\(562\) | 7.97787 | − | 1.69575i | 0.336526 | − | 0.0715308i | ||||
\(563\) | 7.94107 | + | 4.58478i | 0.334676 | + | 0.193225i | 0.657915 | − | 0.753092i | \(-0.271438\pi\) |
−0.323239 | + | 0.946317i | \(0.604772\pi\) | |||||||
\(564\) | 1.93499 | + | 1.93499i | 0.0814778 | + | 0.0814778i | ||||
\(565\) | 26.3165 | + | 1.37919i | 1.10714 | + | 0.0580228i | ||||
\(566\) | 0.883420 | + | 1.36035i | 0.0371329 | + | 0.0571796i | ||||
\(567\) | −0.622047 | + | 1.22084i | −0.0261235 | + | 0.0512703i | ||||
\(568\) | −0.225103 | − | 2.14171i | −0.00944509 | − | 0.0898641i | ||||
\(569\) | 26.4624 | − | 5.62476i | 1.10936 | − | 0.235802i | 0.383431 | − | 0.923569i | \(-0.374742\pi\) |
0.725931 | + | 0.687767i | \(0.241409\pi\) | |||||||
\(570\) | −1.50671 | + | 0.578371i | −0.0631091 | + | 0.0242253i | ||||
\(571\) | −12.2743 | − | 8.91778i | −0.513662 | − | 0.373197i | 0.300549 | − | 0.953766i | \(-0.402830\pi\) |
−0.814211 | + | 0.580569i | \(0.802830\pi\) | |||||||
\(572\) | −20.7796 | − | 11.1291i | −0.868838 | − | 0.465329i | ||||
\(573\) | 0.818028 | − | 1.12592i | 0.0341736 | − | 0.0470359i | ||||
\(574\) | 0.535510 | + | 0.661299i | 0.0223517 | + | 0.0276021i | ||||
\(575\) | 59.6445 | + | 53.7041i | 2.48735 | + | 2.23962i | ||||
\(576\) | −0.809726 | − | 1.81867i | −0.0337386 | − | 0.0757781i | ||||
\(577\) | −2.15149 | + | 13.5840i | −0.0895677 | + | 0.565508i | 0.901566 | + | 0.432641i | \(0.142418\pi\) |
−0.991134 | + | 0.132867i | \(0.957582\pi\) | |||||||
\(578\) | 0.556157 | + | 0.0291470i | 0.0231331 | + | 0.00121235i | ||||
\(579\) | 0.0972585 | + | 0.0787584i | 0.00404192 | + | 0.00327309i | ||||
\(580\) | 29.6410 | + | 15.1028i | 1.23078 | + | 0.627111i | ||||
\(581\) | 0.202508 | − | 0.952726i | 0.00840146 | − | 0.0395257i | ||||
\(582\) | −11.2542 | + | 2.39215i | −0.466500 | + | 0.0991576i | ||||
\(583\) | −10.4893 | + | 39.1467i | −0.434424 | + | 1.62129i | ||||
\(584\) | 15.1851 | 0.628364 | ||||||||
\(585\) | −0.481565 | + | 6.60110i | −0.0199103 | + | 0.272922i | ||||
\(586\) | −9.50350 | − | 6.90470i | −0.392586 | − | 0.285230i | ||||
\(587\) | 10.6915 | + | 27.8524i | 0.441287 | + | 1.14959i | 0.956294 | + | 0.292406i | \(0.0944559\pi\) |
−0.515007 | + | 0.857186i | \(0.672211\pi\) | |||||||
\(588\) | −17.6530 | + | 10.1920i | −0.727999 | + | 0.420310i | ||||
\(589\) | 3.19736 | − | 1.39340i | 0.131745 | − | 0.0574142i | ||||
\(590\) | −9.14538 | + | 9.14538i | −0.376509 | + | 0.376509i | ||||
\(591\) | −12.0364 | − | 9.74689i | −0.495112 | − | 0.400933i | ||||
\(592\) | 10.0522 | − | 26.1868i | 0.413142 | − | 1.07627i | ||||
\(593\) | 16.8888 | − | 8.60530i | 0.693542 | − | 0.353377i | −0.0714258 | − | 0.997446i | \(-0.522755\pi\) |
0.764968 | + | 0.644069i | \(0.222755\pi\) | |||||||
\(594\) | 3.97516 | − | 6.88519i | 0.163103 | − | 0.282503i | ||||
\(595\) | −1.45915 | − | 2.52733i | −0.0598195 | − | 0.103610i | ||||
\(596\) | 1.10090 | + | 0.714932i | 0.0450946 | + | 0.0292848i | ||||
\(597\) | 26.2007 | − | 8.51312i | 1.07232 | − | 0.348419i | ||||
\(598\) | 5.64927 | + | 9.10157i | 0.231016 | + | 0.372191i | ||||
\(599\) | −16.1267 | + | 11.7167i | −0.658917 | + | 0.478731i | −0.866297 | − | 0.499529i | \(-0.833506\pi\) |
0.207380 | + | 0.978260i | \(0.433506\pi\) | |||||||
\(600\) | −22.7095 | − | 14.7477i | −0.927111 | − | 0.602073i | ||||
\(601\) | 5.31980 | − | 11.9485i | 0.216999 | − | 0.487388i | −0.771943 | − | 0.635692i | \(-0.780715\pi\) |
0.988942 | + | 0.148304i | \(0.0473815\pi\) | |||||||
\(602\) | −0.723265 | + | 0.322019i | −0.0294781 | + | 0.0131245i | ||||
\(603\) | 3.30982 | + | 1.68644i | 0.134786 | + | 0.0686770i | ||||
\(604\) | 12.6222 | + | 4.84520i | 0.513589 | + | 0.197148i | ||||
\(605\) | 6.25801 | + | 2.40222i | 0.254424 | + | 0.0976643i | ||||
\(606\) | 3.59113 | + | 1.82977i | 0.145880 | + | 0.0743294i | ||||
\(607\) | −39.5488 | + | 17.6083i | −1.60524 | + | 0.714697i | −0.996877 | − | 0.0789652i | \(-0.974838\pi\) |
−0.608359 | + | 0.793662i | \(0.708172\pi\) | |||||||
\(608\) | 1.10546 | − | 2.48290i | 0.0448323 | − | 0.100695i | ||||
\(609\) | 1.12187 | + | 0.728550i | 0.0454604 | + | 0.0295224i | ||||
\(610\) | −1.34038 | + | 0.973843i | −0.0542704 | + | 0.0394297i | ||||
\(611\) | 2.97225 | + | 1.59187i | 0.120244 | + | 0.0644001i | ||||
\(612\) | −3.17376 | + | 1.03122i | −0.128292 | + | 0.0416844i | ||||
\(613\) | −14.7149 | − | 9.55594i | −0.594327 | − | 0.385961i | 0.212140 | − | 0.977239i | \(-0.431957\pi\) |
−0.806467 | + | 0.591279i | \(0.798623\pi\) | |||||||
\(614\) | −6.17972 | − | 10.7036i | −0.249393 | − | 0.431962i | ||||
\(615\) | −36.1537 | + | 62.6200i | −1.45786 | + | 2.52508i | ||||
\(616\) | −0.911325 | + | 0.464343i | −0.0367183 | + | 0.0187089i | ||||
\(617\) | −5.88209 | + | 15.3234i | −0.236804 | + | 0.616896i | −0.999556 | − | 0.0297953i | \(-0.990514\pi\) |
0.762752 | + | 0.646691i | \(0.223848\pi\) | |||||||
\(618\) | 2.02913 | + | 1.64316i | 0.0816235 | + | 0.0660974i | ||||
\(619\) | 9.96666 | − | 9.96666i | 0.400594 | − | 0.400594i | −0.477848 | − | 0.878442i | \(-0.658583\pi\) |
0.878442 | + | 0.477848i | \(0.158583\pi\) | |||||||
\(620\) | 35.1816 | + | 20.6843i | 1.41293 | + | 0.830702i | ||||
\(621\) | 35.0405 | − | 20.2306i | 1.40613 | − | 0.811827i | ||||
\(622\) | 0.337394 | + | 0.878942i | 0.0135283 | + | 0.0352423i | ||||
\(623\) | 1.92055 | + | 1.39536i | 0.0769452 | + | 0.0559040i | ||||
\(624\) | 11.4332 | + | 13.2326i | 0.457693 | + | 0.529728i | ||||
\(625\) | −39.9518 | −1.59807 | ||||||||
\(626\) | −1.02578 | + | 3.82828i | −0.0409985 | + | 0.153009i | ||||
\(627\) | −3.47737 | + | 0.739138i | −0.138873 | + | 0.0295183i | ||||
\(628\) | −4.45695 | + | 20.9683i | −0.177852 | + | 0.836727i | ||||
\(629\) | −32.4630 | − | 16.5407i | −1.29439 | − | 0.659523i | ||||
\(630\) | 0.106823 | + | 0.0865035i | 0.00425593 | + | 0.00344638i | ||||
\(631\) | −34.6643 | − | 1.81668i | −1.37997 | − | 0.0723209i | −0.652148 | − | 0.758092i | \(-0.726132\pi\) |
−0.727818 | + | 0.685771i | \(0.759465\pi\) | |||||||
\(632\) | 1.22537 | − | 7.73669i | 0.0487426 | − | 0.307749i | ||||
\(633\) | −9.64859 | − | 21.6711i | −0.383497 | − | 0.861348i | ||||
\(634\) | 2.21790 | + | 1.99701i | 0.0880841 | + | 0.0793112i | ||||
\(635\) | −7.35651 | − | 9.08453i | −0.291934 | − | 0.360509i | ||||
\(636\) | 19.5769 | − | 26.9453i | 0.776276 | − | 1.06845i | ||||
\(637\) | −17.1840 | + | 18.3167i | −0.680854 | + | 0.725734i | ||||
\(638\) | −5.29379 | − | 3.84616i | −0.209583 | − | 0.152271i | ||||
\(639\) | −0.595163 | + | 0.228462i | −0.0235443 | + | 0.00903780i | ||||
\(640\) | 40.7312 | − | 8.65768i | 1.61004 | − | 0.342225i | ||||
\(641\) | 1.29514 | + | 12.3224i | 0.0511549 | + | 0.486706i | 0.989866 | + | 0.142002i | \(0.0453540\pi\) |
−0.938711 | + | 0.344704i | \(0.887979\pi\) | |||||||
\(642\) | 0.137512 | − | 0.269882i | 0.00542715 | − | 0.0106514i | ||||
\(643\) | −2.37880 | − | 3.66303i | −0.0938108 | − | 0.144456i | 0.788649 | − | 0.614843i | \(-0.210781\pi\) |
−0.882460 | + | 0.470388i | \(0.844114\pi\) | |||||||
\(644\) | −2.48801 | − | 0.130391i | −0.0980412 | − | 0.00513812i | ||||
\(645\) | −47.5707 | − | 47.5707i | −1.87309 | − | 1.87309i | ||||
\(646\) | −0.868282 | − | 0.501303i | −0.0341621 | − | 0.0197235i | ||||
\(647\) | −6.68817 | + | 1.42161i | −0.262939 | + | 0.0558894i | −0.337495 | − | 0.941327i | \(-0.609580\pi\) |
0.0745556 | + | 0.997217i | \(0.476246\pi\) | |||||||
\(648\) | −8.94357 | + | 7.24236i | −0.351337 | + | 0.284507i | ||||
\(649\) | −23.0485 | + | 16.7457i | −0.904734 | + | 0.657328i | ||||
\(650\) | −15.3368 | − | 4.44776i | −0.601559 | − | 0.174456i | ||||
\(651\) | 1.31998 | + | 0.975042i | 0.0517341 | + | 0.0382149i | ||||
\(652\) | 7.82459 | + | 2.09659i | 0.306434 | + | 0.0821089i | ||||
\(653\) | 0.235648 | + | 0.104917i | 0.00922161 | + | 0.00410573i | 0.411342 | − | 0.911481i | \(-0.365060\pi\) |
−0.402121 | + | 0.915587i | \(0.631727\pi\) | |||||||
\(654\) | 3.59938 | − | 1.60255i | 0.140747 | − | 0.0626646i | ||||
\(655\) | −39.0652 | − | 76.6698i | −1.52640 | − | 2.99574i | ||||
\(656\) | −8.95064 | − | 33.4043i | −0.349464 | − | 1.30422i | ||||
\(657\) | −1.16346 | − | 4.34210i | −0.0453910 | − | 0.169401i | ||||
\(658\) | 0.0623910 | − | 0.0317898i | 0.00243225 | − | 0.00123930i | ||||
\(659\) | 20.7215 | + | 4.40450i | 0.807197 | + | 0.171575i | 0.592986 | − | 0.805213i | \(-0.297949\pi\) |
0.214210 | + | 0.976788i | \(0.431282\pi\) | |||||||
\(660\) | −30.9138 | − | 27.8349i | −1.20332 | − | 1.08347i | ||||
\(661\) | 0.672565 | + | 1.75209i | 0.0261597 | + | 0.0681484i | 0.946038 | − | 0.324055i | \(-0.105046\pi\) |
−0.919879 | + | 0.392203i | \(0.871713\pi\) | |||||||
\(662\) | −2.57257 | + | 7.91756i | −0.0999858 | + | 0.307725i | ||||
\(663\) | 18.6460 | − | 12.9726i | 0.724151 | − | 0.503814i | ||||
\(664\) | 4.80855 | − | 6.61840i | 0.186608 | − | 0.256844i | ||||
\(665\) | −0.0242046 | − | 0.461851i | −0.000938613 | − | 0.0179098i | ||||
\(666\) | 1.70669 | + | 0.179380i | 0.0661327 | + | 0.00695083i | ||||
\(667\) | −13.5449 | − | 30.4224i | −0.524461 | − | 1.17796i | ||||
\(668\) | −9.27677 | + | 18.2067i | −0.358929 | + | 0.704438i | ||||
\(669\) | −12.3390 | + | 32.1442i | −0.477054 | + | 1.24277i | ||||
\(670\) | −8.21847 | + | 10.1490i | −0.317507 | + | 0.392089i | ||||
\(671\) | −3.25177 | + | 1.65686i | −0.125533 | + | 0.0639623i | ||||
\(672\) | 1.27179 | − | 0.133671i | 0.0490604 | − | 0.00515646i | ||||
\(673\) | 18.2983 | − | 20.3224i | 0.705349 | − | 0.783369i | −0.278869 | − | 0.960329i | \(-0.589960\pi\) |
0.984218 | + | 0.176960i | \(0.0566263\pi\) | |||||||
\(674\) | −0.609130 | − | 11.6229i | −0.0234628 | − | 0.447697i | ||||
\(675\) | −18.6385 | + | 57.3633i | −0.717395 | + | 2.20791i | ||||
\(676\) | 20.1652 | + | 12.7701i | 0.775586 | + | 0.491157i | ||||
\(677\) | 34.3965i | 1.32196i | 0.750402 | + | 0.660982i | \(0.229860\pi\) | ||||
−0.750402 | + | 0.660982i | \(0.770140\pi\) | |||||||
\(678\) | 3.57261 | + | 2.32008i | 0.137205 | + | 0.0891020i | ||||
\(679\) | 0.344638 | − | 3.27901i | 0.0132260 | − | 0.125837i | ||||
\(680\) | −2.56211 | − | 24.3768i | −0.0982524 | − | 0.934809i | ||||
\(681\) | 4.34322 | + | 4.34322i | 0.166433 | + | 0.166433i | ||||
\(682\) | −6.19845 | − | 5.10099i | −0.237351 | − | 0.195327i | ||||
\(683\) | −28.1085 | + | 7.53166i | −1.07554 | + | 0.288191i | −0.752769 | − | 0.658285i | \(-0.771282\pi\) |
−0.322774 | + | 0.946476i | \(0.604615\pi\) | |||||||
\(684\) | −0.522340 | − | 0.0827305i | −0.0199722 | − | 0.00316328i | ||||
\(685\) | 3.12503 | + | 7.01892i | 0.119401 | + | 0.268179i | ||||
\(686\) | 0.217425 | + | 1.02290i | 0.00830133 | + | 0.0390547i | ||||
\(687\) | −0.830017 | + | 3.09767i | −0.0316671 | + | 0.118183i | ||||
\(688\) | 32.1758 | 1.22669 | ||||||||
\(689\) | 13.4772 | − | 38.7613i | 0.513441 | − | 1.47669i | ||||
\(690\) | 5.84177 | + | 17.9791i | 0.222392 | + | 0.684453i | ||||
\(691\) | 1.55395 | + | 29.6511i | 0.0591151 | + | 1.12798i | 0.853678 | + | 0.520801i | \(0.174367\pi\) |
−0.794563 | + | 0.607182i | \(0.792300\pi\) | |||||||
\(692\) | 29.0354 | + | 12.9274i | 1.10376 | + | 0.491426i | ||||
\(693\) | 0.202601 | + | 0.225011i | 0.00769618 | + | 0.00854747i | ||||
\(694\) | 2.05269 | + | 0.325114i | 0.0779191 | + | 0.0123412i | ||||
\(695\) | −51.2109 | − | 19.6580i | −1.94254 | − | 0.745672i | ||||
\(696\) | 6.11915 | + | 9.42267i | 0.231946 | + | 0.357165i | ||||
\(697\) | −44.3665 | + | 7.02696i | −1.68050 | + | 0.266165i | ||||
\(698\) | −0.545948 | + | 0.243072i | −0.0206644 | + | 0.00920040i | ||||
\(699\) | −11.0749 | + | 12.2999i | −0.418892 | + | 0.465226i | ||||
\(700\) | 2.88628 | − | 2.33726i | 0.109091 | − | 0.0883402i | ||||
\(701\) | −6.11359 | − | 8.41463i | −0.230907 | − | 0.317816i | 0.677804 | − | 0.735243i | \(-0.262932\pi\) |
−0.908711 | + | 0.417427i | \(0.862932\pi\) | |||||||
\(702\) | −4.52175 | + | 6.66044i | −0.170663 | + | 0.251382i | ||||
\(703\) | −3.39385 | − | 4.67124i | −0.128002 | − | 0.176179i | ||||
\(704\) | 15.3955 | − | 0.806844i | 0.580240 | − | 0.0304091i | ||||
\(705\) | 4.42182 | + | 3.98143i | 0.166535 | + | 0.149949i | ||||
\(706\) | −2.13069 | − | 2.36637i | −0.0801897 | − | 0.0890597i | ||||
\(707\) | −0.816685 | + | 0.816685i | −0.0307146 | + | 0.0307146i | ||||
\(708\) | 22.6153 | − | 6.05976i | 0.849937 | − | 0.227740i | ||||
\(709\) | 2.01566 | + | 0.105636i | 0.0756996 | + | 0.00396725i | 0.0901481 | − | 0.995928i | \(-0.471266\pi\) |
−0.0144486 | + | 0.999896i | \(0.504599\pi\) | |||||||
\(710\) | −0.350601 | − | 2.21360i | −0.0131578 | − | 0.0830751i | ||||
\(711\) | −2.30615 | + | 0.242386i | −0.0864874 | + | 0.00909019i | ||||
\(712\) | 9.96942 | + | 17.2675i | 0.373620 | + | 0.647128i | ||||
\(713\) | −14.3391 | − | 38.2550i | −0.537003 | − | 1.43266i | ||||
\(714\) | − | 0.471739i | − | 0.0176544i | ||||||
\(715\) | −46.3871 | − | 21.8009i | −1.73478 | − | 0.815307i | ||||
\(716\) | −2.33489 | + | 3.21371i | −0.0872591 | + | 0.120102i | ||||
\(717\) | 6.62014 | − | 10.1941i | 0.247234 | − | 0.380706i | ||||
\(718\) | 4.67550 | + | 8.09820i | 0.174488 | + | 0.302222i | ||||
\(719\) | 3.57452 | − | 6.19126i | 0.133307 | − | 0.230895i | −0.791642 | − | 0.610985i | \(-0.790774\pi\) |
0.924950 | + | 0.380090i | \(0.124107\pi\) | |||||||
\(720\) | −2.53613 | − | 4.97743i | −0.0945159 | − | 0.185498i | ||||
\(721\) | −0.627506 | + | 0.407507i | −0.0233695 | + | 0.0151764i | ||||
\(722\) | 4.10351 | + | 6.31884i | 0.152717 | + | 0.235163i | ||||
\(723\) | 6.17939 | + | 0.978719i | 0.229814 | + | 0.0363989i | ||||
\(724\) | −11.8178 | + | 10.6408i | −0.439206 | + | 0.395463i | ||||
\(725\) | 45.3505 | + | 20.1913i | 1.68427 | + | 0.749887i | ||||
\(726\) | 0.681910 | + | 0.842088i | 0.0253080 | + | 0.0312528i | ||||
\(727\) | −4.70417 | + | 1.52848i | −0.174468 | + | 0.0566881i | −0.394948 | − | 0.918703i | \(-0.629237\pi\) |
0.220480 | + | 0.975391i | \(0.429237\pi\) | |||||||
\(728\) | 0.954552 | − | 0.401796i | 0.0353780 | − | 0.0148916i | ||||
\(729\) | 24.0865 | + | 17.4999i | 0.892092 | + | 0.648143i | ||||
\(730\) | 15.7818 | − | 0.827088i | 0.584110 | − | 0.0306119i | ||||
\(731\) | 4.36859 | − | 41.5644i | 0.161578 | − | 1.53731i | ||||
\(732\) | 2.98282 | − | 0.313507i | 0.110248 | − | 0.0115876i | ||||
\(733\) | 4.00801 | + | 7.86616i | 0.148039 | + | 0.290543i | 0.953104 | − | 0.302644i | \(-0.0978693\pi\) |
−0.805064 | + | 0.593187i | \(0.797869\pi\) | |||||||
\(734\) | 7.43072 | − | 9.17618i | 0.274273 | − | 0.338699i | ||||
\(735\) | −37.1718 | + | 24.1397i | −1.37110 | + | 0.890405i | ||||
\(736\) | −28.3658 | − | 14.4531i | −1.04558 | − | 0.532748i | ||||
\(737\) | −21.3777 | + | 19.2486i | −0.787459 | + | 0.709031i | ||||
\(738\) | 1.83230 | − | 1.05788i | 0.0674478 | − | 0.0389410i | ||||
\(739\) | 1.84109 | + | 0.493319i | 0.0677256 | + | 0.0181470i | 0.292523 | − | 0.956259i | \(-0.405505\pi\) |
−0.224797 | + | 0.974406i | \(0.572172\pi\) | |||||||
\(740\) | 20.8780 | − | 64.2560i | 0.767492 | − | 2.36210i | ||||
\(741\) | 3.56623 | − | 0.490259i | 0.131009 | − | 0.0180101i | ||||
\(742\) | −0.500947 | − | 0.689495i | −0.0183903 | − | 0.0253121i | ||||
\(743\) | −2.15260 | + | 8.03360i | −0.0789711 | + | 0.294724i | −0.994104 | − | 0.108427i | \(-0.965419\pi\) |
0.915133 | + | 0.403151i | \(0.132085\pi\) | |||||||
\(744\) | 6.79718 | + | 11.9908i | 0.249197 | + | 0.439603i | ||||
\(745\) | 2.47184 | + | 1.42712i | 0.0905613 | + | 0.0522856i | ||||
\(746\) | 0.413445 | − | 2.61039i | 0.0151373 | − | 0.0955732i | ||||
\(747\) | −2.26092 | − | 0.867886i | −0.0827228 | − | 0.0317543i | ||||
\(748\) | 1.35248 | − | 25.8069i | 0.0494517 | − | 0.943595i | ||||
\(749\) | 0.0613758 | + | 0.0613758i | 0.00224262 | + | 0.00224262i | ||||
\(750\) | −13.2491 | − | 7.64938i | −0.483789 | − | 0.279316i | ||||
\(751\) | 7.04676 | + | 33.1524i | 0.257140 | + | 1.20975i | 0.897270 | + | 0.441481i | \(0.145547\pi\) |
−0.640131 | + | 0.768266i | \(0.721120\pi\) | |||||||
\(752\) | −2.84189 | + | 0.148937i | −0.103633 | + | 0.00543119i | ||||
\(753\) | −19.8274 | + | 6.44232i | −0.722551 | + | 0.234771i | ||||
\(754\) | 5.06280 | + | 4.27423i | 0.184376 | + | 0.155658i | ||||
\(755\) | 27.9591 | + | 9.08446i | 1.01754 | + | 0.330617i | ||||
\(756\) | −0.670977 | − | 1.74795i | −0.0244032 | − | 0.0635725i | ||||
\(757\) | 46.8376 | + | 4.92283i | 1.70234 | + | 0.178923i | 0.905233 | − | 0.424915i | \(-0.139696\pi\) |
0.797107 | + | 0.603838i | \(0.206363\pi\) | |||||||
\(758\) | 0.838554 | − | 3.94509i | 0.0304576 | − | 0.143292i | ||||
\(759\) | 6.51423 | + | 41.1292i | 0.236452 | + | 1.49290i | ||||
\(760\) | 1.39206 | − | 3.62644i | 0.0504953 | − | 0.131545i | ||||
\(761\) | −13.4386 | + | 8.72716i | −0.487151 | + | 0.316359i | −0.764738 | − | 0.644341i | \(-0.777132\pi\) |
0.277588 | + | 0.960700i | \(0.410465\pi\) | |||||||
\(762\) | −0.295599 | − | 1.86634i | −0.0107084 | − | 0.0676104i | ||||
\(763\) | 0.118019 | + | 1.12287i | 0.00427257 | + | 0.0406508i | ||||
\(764\) | 0.333334 | + | 1.56821i | 0.0120596 | + | 0.0567360i | ||||
\(765\) | −6.77412 | + | 2.60034i | −0.244919 | + | 0.0940156i | ||||
\(766\) | −0.634995 | − | 1.95431i | −0.0229433 | − | 0.0706122i | ||||
\(767\) | 24.5103 | − | 15.2133i | 0.885015 | − | 0.549322i | ||||
\(768\) | −6.72372 | − | 2.18467i | −0.242621 | − | 0.0788324i | ||||
\(769\) | −17.2033 | − | 4.60960i | −0.620366 | − | 0.166226i | −0.0650716 | − | 0.997881i | \(-0.520728\pi\) |
−0.555294 | + | 0.831654i | \(0.687394\pi\) | |||||||
\(770\) | −0.921844 | + | 0.532227i | −0.0332210 | + | 0.0191801i | ||||
\(771\) | 4.10254 | + | 4.55633i | 0.147749 | + | 0.164092i | ||||
\(772\) | −0.142395 | + | 0.0225532i | −0.00512493 | + | 0.000811708i | ||||
\(773\) | −6.56359 | + | 8.10536i | −0.236076 | + | 0.291530i | −0.881391 | − | 0.472387i | \(-0.843393\pi\) |
0.645315 | + | 0.763916i | \(0.276726\pi\) | |||||||
\(774\) | 0.509488 | + | 1.90143i | 0.0183132 | + | 0.0683457i | ||||
\(775\) | 54.0430 | + | 28.0761i | 1.94128 | + | 1.00852i | ||||
\(776\) | 13.8462 | − | 23.9823i | 0.497049 | − | 0.860914i | ||||
\(777\) | 1.10499 | − | 2.48185i | 0.0396414 | − | 0.0890360i | ||||
\(778\) | −8.88733 | − | 10.9749i | −0.318626 | − | 0.393471i | ||||
\(779\) | −6.77029 | − | 2.19980i | −0.242571 | − | 0.0788160i | ||||
\(780\) | 29.1690 | + | 30.3879i | 1.04442 | + | 1.08806i | ||||
\(781\) | − | 4.93684i | − | 0.176654i | ||||||
\(782\) | −6.39622 | + | 9.84931i | −0.228728 | + | 0.352211i | ||||
\(783\) | 16.7458 | − | 18.5981i | 0.598445 | − | 0.664641i | ||||
\(784\) | 4.40735 | − | 20.7349i | 0.157405 | − | 0.740534i | ||||
\(785\) | −7.29165 | + | 46.0376i | −0.260250 | + | 1.64315i | ||||
\(786\) | 0.727971 | − | 13.8905i | 0.0259659 | − | 0.495458i | ||||
\(787\) | 36.8699 | + | 29.8567i | 1.31427 | + | 1.06428i | 0.993102 | + | 0.117253i | \(0.0374088\pi\) |
0.321168 | + | 0.947022i | \(0.395925\pi\) | |||||||
\(788\) | 17.6224 | − | 2.79112i | 0.627773 | − | 0.0994294i | ||||
\(789\) | −20.0348 | − | 4.25853i | −0.713258 | − | 0.151608i | ||||
\(790\) | 0.852126 | − | 8.10744i | 0.0303173 | − | 0.288450i | ||||
\(791\) | −0.948671 | + | 0.768219i | −0.0337309 | + | 0.0273147i | ||||
\(792\) | 0.785860 | + | 2.41863i | 0.0279243 | + | 0.0859422i | ||||
\(793\) | 3.40601 | − | 1.43368i | 0.120951 | − | 0.0509115i | ||||
\(794\) | −7.43829 | + | 5.40424i | −0.263975 | + | 0.191789i | ||||
\(795\) | 39.4429 | − | 60.7367i | 1.39890 | − | 2.15411i | ||||
\(796\) | −12.9084 | + | 28.9926i | −0.457525 | + | 1.02762i | ||||
\(797\) | 13.7432 | + | 2.92122i | 0.486811 | + | 0.103475i | 0.444777 | − | 0.895641i | \(-0.353283\pi\) |
0.0420337 | + | 0.999116i | \(0.486616\pi\) | |||||||
\(798\) | 0.0339402 | − | 0.0666114i | 0.00120147 | − | 0.00235802i | ||||
\(799\) | −0.193455 | + | 3.69135i | −0.00684396 | + | 0.130590i | ||||
\(800\) | 45.8401 | − | 12.2828i | 1.62069 | − | 0.434263i | ||||
\(801\) | 4.17372 | − | 4.17372i | 0.147471 | − | 0.147471i | ||||
\(802\) | −9.84579 | + | 8.86519i | −0.347667 | + | 0.313041i | ||||
\(803\) | 34.6206 | + | 3.63877i | 1.22174 | + | 0.128410i | ||||
\(804\) | 22.0706 | − | 8.47211i | 0.778370 | − | 0.298788i | ||||
\(805\) | −5.41728 | −0.190934 | ||||||||
\(806\) | 5.88396 | + | 5.60812i | 0.207254 | + | 0.197537i | ||||
\(807\) | 30.3260 | 1.06753 | ||||||||
\(808\) | −9.05635 | + | 3.47641i | −0.318601 | + | 0.122300i | ||||
\(809\) | −15.8543 | − | 1.66635i | −0.557407 | − | 0.0585858i | −0.178363 | − | 0.983965i | \(-0.557080\pi\) |
−0.379044 | + | 0.925379i | \(0.623747\pi\) | |||||||
\(810\) | −8.90053 | + | 8.01408i | −0.312733 | + | 0.281586i | ||||
\(811\) | −9.71458 | + | 9.71458i | −0.341125 | + | 0.341125i | −0.856790 | − | 0.515665i | \(-0.827545\pi\) |
0.515665 | + | 0.856790i | \(0.327545\pi\) | |||||||
\(812\) | −1.48849 | + | 0.398840i | −0.0522358 | + | 0.0139965i | ||||
\(813\) | 1.88926 | − | 36.0493i | 0.0662593 | − | 1.26430i | ||||
\(814\) | −6.03324 | + | 11.8409i | −0.211465 | + | 0.415023i | ||||
\(815\) | 17.2288 | + | 3.66210i | 0.603500 | + | 0.128278i | ||||
\(816\) | −7.79790 | + | 17.5144i | −0.272981 | + | 0.613126i | ||||
\(817\) | 3.60729 | − | 5.55474i | 0.126203 | − | 0.194336i | ||||
\(818\) | 2.51121 | − | 1.82450i | 0.0878024 | − | 0.0637922i | ||||
\(819\) | −0.188028 | − | 0.242164i | −0.00657023 | − | 0.00846189i | ||||
\(820\) | −25.7404 | − | 79.2209i | −0.898895 | − | 2.76651i | ||||
\(821\) | 9.52641 | − | 7.71433i | 0.332474 | − | 0.269232i | −0.448517 | − | 0.893774i | \(-0.648048\pi\) |
0.780991 | + | 0.624542i | \(0.214714\pi\) | |||||||
\(822\) | −0.129821 | + | 1.23517i | −0.00452803 | + | 0.0430814i | ||||
\(823\) | 17.7778 | + | 3.77878i | 0.619694 | + | 0.131720i | 0.507052 | − | 0.861916i | \(-0.330735\pi\) |
0.112642 | + | 0.993636i | \(0.464069\pi\) | |||||||
\(824\) | −6.20695 | + | 0.983084i | −0.216229 | + | 0.0342473i | ||||
\(825\) | −48.2416 | − | 39.0653i | −1.67956 | − | 1.36008i | ||||
\(826\) | 0.0313550 | − | 0.598289i | 0.00109098 | − | 0.0208171i | ||||
\(827\) | −0.735810 | + | 4.64572i | −0.0255866 | + | 0.161548i | −0.997173 | − | 0.0751367i | \(-0.976061\pi\) |
0.971587 | + | 0.236684i | \(0.0760607\pi\) | |||||||
\(828\) | −1.28794 | + | 6.05929i | −0.0447591 | + | 0.210575i | ||||
\(829\) | −6.36791 | + | 7.07228i | −0.221166 | + | 0.245630i | −0.843509 | − | 0.537114i | \(-0.819514\pi\) |
0.622343 | + | 0.782745i | \(0.286181\pi\) | |||||||
\(830\) | 4.63701 | − | 7.14038i | 0.160953 | − | 0.247846i | ||||
\(831\) | 19.8189i | 0.687509i | ||||||||
\(832\) | −15.6073 | − | 0.319421i | −0.541084 | − | 0.0110739i | ||||
\(833\) | −26.1867 | − | 8.50859i | −0.907317 | − | 0.294805i | ||||
\(834\) | −5.58025 | − | 6.89103i | −0.193228 | − | 0.238617i | ||||
\(835\) | −18.0716 | + | 40.5895i | −0.625395 | + | 1.40466i | ||||
\(836\) | 2.04771 | − | 3.54673i | 0.0708214 | − | 0.122666i | ||||
\(837\) | 21.8804 | − | 21.5374i | 0.756296 | − | 0.744443i | ||||
\(838\) | 0.424335 | + | 1.58364i | 0.0146584 | + | 0.0547059i | ||||
\(839\) | −13.1882 | + | 16.2861i | −0.455307 | + | 0.562257i | −0.952169 | − | 0.305572i | \(-0.901152\pi\) |
0.496862 | + | 0.867830i | \(0.334486\pi\) | |||||||
\(840\) | 1.80518 | − | 0.285912i | 0.0622846 | − | 0.00986492i | ||||
\(841\) | 5.62225 | + | 6.24415i | 0.193871 | + | 0.215315i | ||||
\(842\) | 7.07430 | − | 4.08435i | 0.243796 | − | 0.140756i | ||||
\(843\) | −31.0101 | − | 8.30913i | −1.06804 | − | 0.286182i | ||||
\(844\) | 25.9901 | + | 8.44470i | 0.894616 | + | 0.290679i | ||||
\(845\) | 45.2399 | + | 25.4341i | 1.55630 | + | 0.874960i | ||||
\(846\) | −0.0538014 | − | 0.165584i | −0.00184973 | − | 0.00569288i | ||||
\(847\) | −0.289885 | + | 0.111277i | −0.00996058 | + | 0.00382351i | ||||
\(848\) | 7.20136 | + | 33.8797i | 0.247296 | + | 1.16344i | ||||
\(849\) | −0.667375 | − | 6.34965i | −0.0229042 | − | 0.217919i | ||||
\(850\) | −2.73864 | − | 17.2911i | −0.0939346 | − | 0.593080i | ||||
\(851\) | −56.7218 | + | 36.8355i | −1.94440 | + | 1.26271i | ||||
\(852\) | −1.45396 | + | 3.78769i | −0.0498118 | + | 0.129764i | ||||
\(853\) | −2.84936 | − | 17.9901i | −0.0975601 | − | 0.615970i | −0.987222 | − | 0.159350i | \(-0.949060\pi\) |
0.889662 | − | 0.456620i | \(-0.150940\pi\) | |||||||
\(854\) | 0.0159566 | − | 0.0750697i | 0.000546022 | − | 0.00256883i | ||||
\(855\) | −1.14362 | − | 0.120199i | −0.0391110 | − | 0.00411073i | ||||
\(856\) | 0.261260 | + | 0.680606i | 0.00892969 | + | 0.0232626i | ||||
\(857\) | 18.8480 | + | 6.12409i | 0.643836 | + | 0.209195i | 0.612694 | − | 0.790320i | \(-0.290086\pi\) |
0.0311416 | + | 0.999515i | \(0.490086\pi\) | |||||||
\(858\) | −4.73176 | − | 6.80113i | −0.161540 | − | 0.232187i | ||||
\(859\) | −13.6853 | + | 4.44663i | −0.466937 | + | 0.151717i | −0.533030 | − | 0.846096i | \(-0.678947\pi\) |
0.0660927 | + | 0.997813i | \(0.478947\pi\) | |||||||
\(860\) | 77.3945 | − | 4.05607i | 2.63913 | − | 0.138311i | ||||
\(861\) | −0.696388 | − | 3.27625i | −0.0237328 | − | 0.111654i | ||||
\(862\) | 7.49162 | + | 4.32529i | 0.255165 | + | 0.147320i | ||||
\(863\) | −0.281257 | − | 0.281257i | −0.00957410 | − | 0.00957410i | 0.702304 | − | 0.711878i | \(-0.252155\pi\) |
−0.711878 | + | 0.702304i | \(0.752155\pi\) | |||||||
\(864\) | 1.25212 | − | 23.8918i | 0.0425979 | − | 0.812816i | ||||
\(865\) | 64.5185 | + | 24.7663i | 2.19369 | + | 0.842080i | ||||
\(866\) | −0.886187 | + | 5.59517i | −0.0301139 | + | 0.190131i | ||||
\(867\) | −1.89846 | − | 1.09607i | −0.0644750 | − | 0.0372246i | ||||
\(868\) | −1.85222 | + | 0.378438i | −0.0628686 | + | 0.0128450i | ||||
\(869\) | 4.64766 | − | 17.3453i | 0.157661 | − | 0.588399i | ||||
\(870\) | 6.87283 | + | 9.45964i | 0.233011 | + | 0.320712i | ||||
\(871\) | 23.0074 | − | 17.8641i | 0.779575 | − | 0.605300i | ||||
\(872\) | −2.93043 | + | 9.01893i | −0.0992368 | + | 0.305420i | ||||
\(873\) | −7.91848 | − | 2.12175i | −0.268000 | − | 0.0718104i | ||||
\(874\) | −1.61180 | + | 0.930573i | −0.0545199 | + | 0.0314771i | ||||
\(875\) | 3.25799 | − | 2.93350i | 0.110140 | − | 0.0991706i | ||||
\(876\) | −25.4903 | − | 12.9880i | −0.861238 | − | 0.438823i | ||||
\(877\) | 2.14317 | − | 1.39179i | 0.0723696 | − | 0.0469974i | −0.507947 | − | 0.861388i | \(-0.669595\pi\) |
0.580317 | + | 0.814391i | \(0.302929\pi\) | |||||||
\(878\) | 5.04006 | − | 6.22395i | 0.170094 | − | 0.210048i | ||||
\(879\) | 20.9918 | + | 41.1987i | 0.708036 | + | 1.38960i | ||||
\(880\) | 43.0233 | − | 4.52193i | 1.45031 | − | 0.152434i | ||||
\(881\) | −4.03008 | + | 38.3436i | −0.135777 | + | 1.29183i | 0.688331 | + | 0.725396i | \(0.258344\pi\) |
−0.824108 | + | 0.566433i | \(0.808323\pi\) | |||||||
\(882\) | 1.29512 | − | 0.0678744i | 0.0436090 | − | 0.00228545i | ||||
\(883\) | −9.78678 | − | 7.11051i | −0.329351 | − | 0.239288i | 0.410804 | − | 0.911724i | \(-0.365248\pi\) |
−0.740155 | + | 0.672436i | \(0.765248\pi\) | |||||||
\(884\) | −3.26716 | + | 25.9626i | −0.109887 | + | 0.873217i | ||||
\(885\) | 48.4172 | − | 15.7317i | 1.62753 | − | 0.528816i | ||||
\(886\) | 5.92225 | + | 7.31337i | 0.198962 | + | 0.245698i | ||||
\(887\) | 45.8587 | + | 20.4176i | 1.53979 | + | 0.685557i | 0.988840 | − | 0.148985i | \(-0.0476005\pi\) |
0.550946 | + | 0.834541i | \(0.314267\pi\) | |||||||
\(888\) | 16.9571 | − | 15.2682i | 0.569042 | − | 0.512368i | ||||
\(889\) | 0.534823 | + | 0.0847077i | 0.0179374 | + | 0.00284100i | ||||
\(890\) | 11.3017 | + | 17.4031i | 0.378833 | + | 0.583352i | ||||
\(891\) | −22.1260 | + | 14.3688i | −0.741249 | + | 0.481373i | ||||
\(892\) | −18.0073 | − | 35.3414i | −0.602930 | − | 1.18332i | ||||
\(893\) | −0.292898 | + | 0.507314i | −0.00980146 | + | 0.0169766i | ||||
\(894\) | 0.230691 | + | 0.399569i | 0.00771547 | + | 0.0133636i | ||||
\(895\) | −4.70426 | + | 7.24392i | −0.157246 | + | 0.242138i | ||||
\(896\) | −1.13379 | + | 1.56052i | −0.0378772 | + | 0.0521335i | ||||
\(897\) | −3.54852 | − | 42.0161i | −0.118482 | − | 1.40288i | ||||
\(898\) | 7.65874i | 0.255576i | ||||||||
\(899\) | −15.7468 | − | 19.7628i | −0.525184 | − | 0.659125i | ||||
\(900\) | −4.61717 | − | 7.99717i | −0.153906 | − | 0.266572i | ||||
\(901\) | 44.7432 | − | 4.70270i | 1.49061 | − | 0.156670i | ||||
\(902\) | 2.56308 | + | 16.1827i | 0.0853414 | + | 0.538824i | ||||
\(903\) | 3.11207 | + | 0.163096i | 0.103563 | + | 0.00542751i | ||||
\(904\) | −9.90350 | + | 2.65363i | −0.329386 | + | 0.0882586i | ||||
\(905\) | −24.4503 | + | 24.4503i | −0.812754 | + | 0.812754i | ||||
\(906\) | 3.17979 | + | 3.53151i | 0.105641 | + | 0.117327i | ||||
\(907\) | −29.9645 | − | 26.9802i | −0.994956 | − | 0.895862i | −0.000393143 | − | 1.00000i | \(-0.500125\pi\) |
−0.994563 | + | 0.104137i | \(0.966792\pi\) | |||||||
\(908\) | −7.06615 | + | 0.370321i | −0.234498 | + | 0.0122895i | ||||
\(909\) | 1.68794 | + | 2.32326i | 0.0559856 | + | 0.0770576i | ||||
\(910\) | 0.970176 | − | 0.469577i | 0.0321610 | − | 0.0155663i | ||||
\(911\) | 0.472367 | + | 0.650157i | 0.0156502 | + | 0.0215407i | 0.816770 | − | 0.576963i | \(-0.195762\pi\) |
−0.801120 | + | 0.598503i | \(0.795762\pi\) | |||||||
\(912\) | −2.36120 | + | 1.91206i | −0.0781872 | + | 0.0633147i | ||||
\(913\) | 12.5490 | − | 13.9371i | 0.415312 | − | 0.461250i | ||||
\(914\) | 2.72281 | − | 1.21227i | 0.0900624 | − | 0.0400984i | ||||
\(915\) | 6.44120 | − | 1.02019i | 0.212940 | − | 0.0337263i | ||||
\(916\) | −2.01211 | − | 3.09837i | −0.0664819 | − | 0.102373i | ||||
\(917\) | 3.72122 | + | 1.42844i | 0.122885 | + | 0.0471713i | ||||
\(918\) | −8.71697 | − | 1.38063i | −0.287703 | − | 0.0455677i | ||||
\(919\) | −18.8471 | − | 20.9318i | −0.621708 | − | 0.690477i | 0.347230 | − | 0.937780i | \(-0.387122\pi\) |
−0.968938 | + | 0.247303i | \(0.920456\pi\) | |||||||
\(920\) | −41.5665 | − | 18.5066i | −1.37041 | − | 0.610144i | ||||
\(921\) | 2.54610 | + | 48.5825i | 0.0838969 | + | 1.60085i | ||||
\(922\) | −2.05853 | − | 6.33550i | −0.0677940 | − | 0.208648i | ||||
\(923\) | −0.363717 | + | 4.98568i | −0.0119719 | + | 0.164106i | ||||
\(924\) | 1.92695 | 0.0633919 | ||||||||
\(925\) | 26.0941 | − | 97.3847i | 0.857970 | − | 3.20199i | ||||
\(926\) | −0.196168 | − | 0.922900i | −0.00644649 | − | 0.0303284i | ||||
\(927\) | 0.756676 | + | 1.69952i | 0.0248525 | + | 0.0558196i | ||||
\(928\) | −19.4486 | − | 3.08036i | −0.638432 | − | 0.101118i | ||||
\(929\) | 52.1468 | − | 13.9727i | 1.71088 | − | 0.458429i | 0.735242 | − | 0.677805i | \(-0.237069\pi\) |
0.975640 | + | 0.219376i | \(0.0704020\pi\) | |||||||
\(930\) | 7.71737 | + | 12.0917i | 0.253063 | + | 0.396503i | ||||
\(931\) | −3.08550 | − | 3.08550i | −0.101123 | − | 0.101123i | ||||
\(932\) | −1.99304 | − | 18.9625i | −0.0652841 | − | 0.621137i | ||||
\(933\) | 0.387364 | − | 3.68553i | 0.0126817 | − | 0.120659i | ||||
\(934\) | −10.0459 | − | 6.52387i | −0.328711 | − | 0.213468i | ||||
\(935\) | − | 56.1909i | − | 1.83764i | ||||||
\(936\) | −0.615445 | − | 2.50045i | −0.0201164 | − | 0.0817299i | ||||
\(937\) | −13.1211 | + | 40.3824i | −0.428646 | + | 1.31924i | 0.470813 | + | 0.882233i | \(0.343960\pi\) |
−0.899460 | + | 0.437004i | \(0.856040\pi\) | |||||||
\(938\) | −0.0316599 | − | 0.604107i | −0.00103373 | − | 0.0197248i | ||||
\(939\) | 10.4387 | − | 11.5934i | 0.340655 | − | 0.378335i | ||||
\(940\) | −6.81700 | + | 0.716496i | −0.222346 | + | 0.0233695i | ||||
\(941\) | −4.70777 | + | 2.39873i | −0.153469 | + | 0.0781964i | −0.529038 | − | 0.848598i | \(-0.677447\pi\) |
0.375569 | + | 0.926794i | \(0.377447\pi\) | |||||||
\(942\) | −4.74172 | + | 5.85553i | −0.154494 | + | 0.190784i | ||||
\(943\) | −29.8823 | + | 77.8460i | −0.973101 | + | 2.53502i | ||||
\(944\) | −11.0539 | + | 21.6945i | −0.359774 | + | 0.706097i | ||||
\(945\) | −1.65587 | − | 3.71914i | −0.0538654 | − | 0.120984i | ||||
\(946\) | −15.1606 | − | 1.59344i | −0.492914 | − | 0.0518073i | ||||
\(947\) | −1.43699 | − | 27.4195i | −0.0466960 | − | 0.891013i | −0.917096 | − | 0.398667i | \(-0.869473\pi\) |
0.870400 | − | 0.492346i | \(-0.163860\pi\) | |||||||
\(948\) | −8.67423 | + | 11.9391i | −0.281726 | + | 0.387762i | ||||
\(949\) | −34.6951 | − | 6.22541i | −1.12625 | − | 0.202085i | ||||
\(950\) | 0.857336 | − | 2.63861i | 0.0278157 | − | 0.0856078i | ||||
\(951\) | −4.20993 | − | 10.9672i | −0.136516 | − | 0.355637i | ||||
\(952\) | 0.843775 | + | 0.759738i | 0.0273469 | + | 0.0246233i | ||||
\(953\) | −31.7278 | − | 6.74395i | −1.02776 | − | 0.218458i | −0.336974 | − | 0.941514i | \(-0.609403\pi\) |
−0.690789 | + | 0.723056i | \(0.742737\pi\) | |||||||
\(954\) | −1.88810 | + | 0.962033i | −0.0611294 | + | 0.0311470i | ||||
\(955\) | 0.902259 | + | 3.36728i | 0.0291964 | + | 0.108962i | ||||
\(956\) | 3.62415 | + | 13.5255i | 0.117213 | + | 0.437446i | ||||
\(957\) | 11.6932 | + | 22.9491i | 0.377987 | + | 0.741841i | ||||
\(958\) | −11.2858 | + | 5.02478i | −0.364629 | + | 0.162343i | ||||
\(959\) | −0.325133 | − | 0.144758i | −0.0104991 | − | 0.00467449i | ||||
\(960\) | −26.6098 | − | 7.13007i | −0.858827 | − | 0.230122i | ||||
\(961\) | −17.8229 | − | 25.3642i | −0.574933 | − | 0.818200i | ||||
\(962\) | 6.96530 | − | 11.5136i | 0.224570 | − | 0.371212i | ||||
\(963\) | 0.174598 | − | 0.126853i | 0.00562635 | − | 0.00408778i | ||||
\(964\) | −5.60118 | + | 4.53574i | −0.180402 | + | 0.146086i | ||||
\(965\) | −0.306630 | + | 0.0651762i | −0.00987077 | + | 0.00209810i | ||||
\(966\) | −0.758373 | − | 0.437847i | −0.0244002 | − | 0.0140875i | ||||
\(967\) | −14.9601 | − | 14.9601i | −0.481083 | − | 0.481083i | 0.424394 | − | 0.905478i | \(-0.360487\pi\) |
−0.905478 | + | 0.424394i | \(0.860487\pi\) | |||||||
\(968\) | −2.60442 | − | 0.136492i | −0.0837091 | − | 0.00438701i | ||||
\(969\) | 2.14939 | + | 3.30978i | 0.0690485 | + | 0.106325i | ||||
\(970\) | 13.0840 | − | 25.6788i | 0.420102 | − | 0.824497i | ||||
\(971\) | −2.54743 | − | 24.2372i | −0.0817510 | − | 0.777809i | −0.956204 | − | 0.292700i | \(-0.905446\pi\) |
0.874453 | − | 0.485110i | \(-0.161220\pi\) | |||||||
\(972\) | −8.50199 | + | 1.80715i | −0.272701 | + | 0.0579645i | ||||
\(973\) | 2.37221 | − | 0.910605i | 0.0760495 | − | 0.0291927i | ||||
\(974\) | −3.49579 | − | 2.53984i | −0.112012 | − | 0.0813818i | ||||
\(975\) | 45.8408 | + | 43.0059i | 1.46808 | + | 1.37729i | ||||
\(976\) | −1.83333 | + | 2.52337i | −0.0586836 | + | 0.0807710i | ||||
\(977\) | 30.9976 | + | 38.2789i | 0.991703 | + | 1.22465i | 0.974405 | + | 0.224800i | \(0.0721730\pi\) |
0.0172978 | + | 0.999850i | \(0.494494\pi\) | |||||||
\(978\) | 2.11590 | + | 1.90517i | 0.0676591 | + | 0.0609206i | ||||
\(979\) | 18.5916 | + | 41.7574i | 0.594189 | + | 1.33457i | ||||
\(980\) | 7.98742 | − | 50.4306i | 0.255149 | − | 1.61095i | ||||
\(981\) | 2.80344 | + | 0.146922i | 0.0895070 | + | 0.00469086i | ||||
\(982\) | −7.45867 | − | 6.03991i | −0.238016 | − | 0.192741i | ||||
\(983\) | −5.27753 | − | 2.68903i | −0.168327 | − | 0.0857669i | 0.367797 | − | 0.929906i | \(-0.380112\pi\) |
−0.536124 | + | 0.844139i | \(0.680112\pi\) | |||||||
\(984\) | 5.84902 | − | 27.5175i | 0.186460 | − | 0.877225i | ||||
\(985\) | 37.9476 | − | 8.06601i | 1.20911 | − | 0.257004i | ||||
\(986\) | −1.88003 | + | 7.01638i | −0.0598725 | + | 0.223447i | ||||
\(987\) | −0.275625 | −0.00877323 | ||||||||
\(988\) | −2.32927 | + | 3.43096i | −0.0741039 | + | 0.109153i | ||||
\(989\) | −62.7645 | − | 45.6011i | −1.99580 | − | 1.45003i | ||||
\(990\) | 0.948475 | + | 2.47086i | 0.0301445 | + | 0.0785292i | ||||
\(991\) | 2.87073 | − | 1.65742i | 0.0911919 | − | 0.0526497i | −0.453711 | − | 0.891149i | \(-0.649900\pi\) |
0.544902 | + | 0.838499i | \(0.316567\pi\) | |||||||
\(992\) | −23.5886 | − | 5.20896i | −0.748938 | − | 0.165385i | ||||
\(993\) | 23.1711 | − | 23.1711i | 0.735313 | − | 0.735313i | ||||
\(994\) | 0.0806813 | + | 0.0653344i | 0.00255906 | + | 0.00207228i | ||||
\(995\) | −24.7298 | + | 64.4234i | −0.783988 | + | 2.04236i | ||||
\(996\) | −13.7326 | + | 6.99712i | −0.435135 | + | 0.221712i | ||||
\(997\) | −18.9234 | + | 32.7763i | −0.599310 | + | 1.03804i | 0.393613 | + | 0.919276i | \(0.371225\pi\) |
−0.992923 | + | 0.118759i | \(0.962108\pi\) | |||||||
\(998\) | −2.62352 | − | 4.54407i | −0.0830460 | − | 0.143840i | ||||
\(999\) | −42.6266 | − | 27.6821i | −1.34865 | − | 0.875821i |
(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 | 403.2.cb.a.15.17 | ✓ | 576 | |
13.7 | odd | 12 | inner | 403.2.cb.a.46.17 | yes | 576 | |
31.29 | odd | 10 | inner | 403.2.cb.a.184.17 | yes | 576 | |
403.215 | even | 60 | inner | 403.2.cb.a.215.17 | yes | 576 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.cb.a.15.17 | ✓ | 576 | 1.1 | even | 1 | trivial | |
403.2.cb.a.46.17 | yes | 576 | 13.7 | odd | 12 | inner | |
403.2.cb.a.184.17 | yes | 576 | 31.29 | odd | 10 | inner | |
403.2.cb.a.215.17 | yes | 576 | 403.215 | even | 60 | inner |