Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [136,2,Mod(3,136)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(136, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([8, 8, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("136.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 136 = 2^{3} \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 136.s (of order \(16\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.08596546749\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 107.5 | ||
Character | \(\chi\) | \(=\) | 136.107 |
Dual form | 136.2.s.c.75.5 |
$q$-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 \(\left(\mathbb{Z}/136\mathbb{Z}\right)^\times\).
\(n\) | \(69\) | \(103\) | \(105\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.896947 | + | 1.09338i | −0.634237 | + | 0.773139i | ||||
\(3\) | −0.456483 | − | 0.683175i | −0.263551 | − | 0.394431i | 0.675967 | − | 0.736932i | \(-0.263726\pi\) |
−0.939518 | + | 0.342500i | \(0.888726\pi\) | |||||||
\(4\) | −0.390973 | − | 1.96141i | −0.195487 | − | 0.980706i | ||||
\(5\) | −1.61884 | − | 0.322007i | −0.723966 | − | 0.144006i | −0.180666 | − | 0.983544i | \(-0.557825\pi\) |
−0.543300 | + | 0.839539i | \(0.682825\pi\) | |||||||
\(6\) | 1.15641 | + | 0.113661i | 0.472104 | + | 0.0464019i | ||||
\(7\) | 4.21158 | − | 0.837735i | 1.59183 | − | 0.316634i | 0.681914 | − | 0.731432i | \(-0.261148\pi\) |
0.909913 | + | 0.414798i | \(0.136148\pi\) | |||||||
\(8\) | 2.49526 | + | 1.33180i | 0.882207 | + | 0.470862i | ||||
\(9\) | 0.889699 | − | 2.14792i | 0.296566 | − | 0.715974i | ||||
\(10\) | 1.80409 | − | 1.48119i | 0.570503 | − | 0.468392i | ||||
\(11\) | −0.106698 | − | 0.0712931i | −0.0321706 | − | 0.0214957i | 0.539381 | − | 0.842062i | \(-0.318658\pi\) |
−0.571552 | + | 0.820566i | \(0.693658\pi\) | |||||||
\(12\) | −1.16152 | + | 1.16246i | −0.335301 | + | 0.335572i | ||||
\(13\) | 2.31804 | − | 2.31804i | 0.642907 | − | 0.642907i | −0.308362 | − | 0.951269i | \(-0.599781\pi\) |
0.951269 | + | 0.308362i | \(0.0997807\pi\) | |||||||
\(14\) | −2.86160 | + | 5.35627i | −0.764794 | + | 1.43152i | ||||
\(15\) | 0.518985 | + | 1.25294i | 0.134001 | + | 0.323508i | ||||
\(16\) | −3.69428 | + | 1.53372i | −0.923570 | + | 0.383430i | ||||
\(17\) | −2.89543 | − | 2.93539i | −0.702244 | − | 0.711936i | ||||
\(18\) | 1.55049 | + | 2.89935i | 0.365454 | + | 0.683384i | ||||
\(19\) | 1.68438 | + | 4.06645i | 0.386423 | + | 0.932907i | 0.990691 | + | 0.136127i | \(0.0434654\pi\) |
−0.604269 | + | 0.796781i | \(0.706535\pi\) | |||||||
\(20\) | 0.00133407 | + | 3.30110i | 0.000298307 | + | 0.738149i | ||||
\(21\) | −2.49484 | − | 2.49484i | −0.544418 | − | 0.544418i | ||||
\(22\) | 0.173653 | − | 0.0527153i | 0.0370229 | − | 0.0112389i | ||||
\(23\) | 2.14808 | + | 1.43530i | 0.447906 | + | 0.299281i | 0.758991 | − | 0.651101i | \(-0.225692\pi\) |
−0.311085 | + | 0.950382i | \(0.600692\pi\) | |||||||
\(24\) | −0.229191 | − | 2.31264i | −0.0467834 | − | 0.472066i | ||||
\(25\) | −2.10245 | − | 0.870864i | −0.420490 | − | 0.174173i | ||||
\(26\) | 0.455347 | + | 4.61366i | 0.0893008 | + | 0.904812i | ||||
\(27\) | −4.29112 | + | 0.853557i | −0.825827 | + | 0.164267i | ||||
\(28\) | −3.28976 | − | 7.93311i | −0.621706 | − | 1.49922i | ||||
\(29\) | 0.908461 | − | 4.56714i | 0.168697 | − | 0.848097i | −0.800028 | − | 0.599962i | \(-0.795182\pi\) |
0.968725 | − | 0.248135i | \(-0.0798177\pi\) | |||||||
\(30\) | −1.83545 | − | 0.556371i | −0.335105 | − | 0.101579i | ||||
\(31\) | 2.02231 | + | 3.02660i | 0.363217 | + | 0.543593i | 0.967400 | − | 0.253253i | \(-0.0815005\pi\) |
−0.604183 | + | 0.796845i | \(0.706500\pi\) | |||||||
\(32\) | 1.63663 | − | 5.41493i | 0.289318 | − | 0.957233i | ||||
\(33\) | 0.105437i | 0.0183543i | ||||||||
\(34\) | 5.80655 | − | 0.532927i | 0.995815 | − | 0.0913962i | ||||
\(35\) | −7.08762 | −1.19803 | ||||||||
\(36\) | −4.56081 | − | 0.905286i | −0.760135 | − | 0.150881i | ||||
\(37\) | −7.00926 | + | 4.68344i | −1.15231 | + | 0.769952i | −0.976722 | − | 0.214511i | \(-0.931184\pi\) |
−0.175593 | + | 0.984463i | \(0.556184\pi\) | |||||||
\(38\) | −5.95698 | − | 1.80572i | −0.966350 | − | 0.292926i | ||||
\(39\) | −2.64177 | − | 0.525481i | −0.423022 | − | 0.0841442i | ||||
\(40\) | −3.61057 | − | 2.95946i | −0.570881 | − | 0.467931i | ||||
\(41\) | 2.02785 | + | 10.1947i | 0.316696 | + | 1.59214i | 0.731246 | + | 0.682114i | \(0.238939\pi\) |
−0.414550 | + | 0.910027i | \(0.636061\pi\) | |||||||
\(42\) | 4.96554 | − | 0.490077i | 0.766200 | − | 0.0756205i | ||||
\(43\) | 3.26274 | − | 7.87696i | 0.497564 | − | 1.20122i | −0.453228 | − | 0.891394i | \(-0.649728\pi\) |
0.950792 | − | 0.309830i | \(-0.100272\pi\) | |||||||
\(44\) | −0.0981193 | + | 0.237152i | −0.0147920 | + | 0.0357520i | ||||
\(45\) | −2.13192 | + | 3.19065i | −0.317808 | + | 0.475634i | ||||
\(46\) | −3.49605 | + | 1.06129i | −0.515465 | + | 0.156478i | ||||
\(47\) | −4.90893 | + | 4.90893i | −0.716041 | + | 0.716041i | −0.967792 | − | 0.251751i | \(-0.918994\pi\) |
0.251751 | + | 0.967792i | \(0.418994\pi\) | |||||||
\(48\) | 2.73418 | + | 1.82372i | 0.394644 | + | 0.263232i | ||||
\(49\) | 10.5684 | − | 4.37759i | 1.50978 | − | 0.625370i | ||||
\(50\) | 2.83798 | − | 1.51767i | 0.401350 | − | 0.214630i | ||||
\(51\) | −0.683670 | + | 3.31804i | −0.0957329 | + | 0.464619i | ||||
\(52\) | −5.45291 | − | 3.64033i | −0.756183 | − | 0.504824i | ||||
\(53\) | 1.32699 | − | 0.549659i | 0.182277 | − | 0.0755015i | −0.289679 | − | 0.957124i | \(-0.593548\pi\) |
0.471955 | + | 0.881623i | \(0.343548\pi\) | |||||||
\(54\) | 2.91564 | − | 5.45743i | 0.396769 | − | 0.742663i | ||||
\(55\) | 0.149769 | + | 0.149769i | 0.0201949 | + | 0.0201949i | ||||
\(56\) | 11.6247 | + | 3.51861i | 1.55341 | + | 0.470194i | ||||
\(57\) | 2.00921 | − | 3.00699i | 0.266126 | − | 0.398286i | ||||
\(58\) | 4.17880 | + | 5.08978i | 0.548703 | + | 0.668321i | ||||
\(59\) | 12.6911 | + | 5.25683i | 1.65224 | + | 0.684381i | 0.997446 | − | 0.0714255i | \(-0.0227548\pi\) |
0.654795 | + | 0.755806i | \(0.272755\pi\) | |||||||
\(60\) | 2.25462 | − | 1.50781i | 0.291071 | − | 0.194657i | ||||
\(61\) | 0.813692 | + | 4.09070i | 0.104183 | + | 0.523761i | 0.997268 | + | 0.0738732i | \(0.0235360\pi\) |
−0.893085 | + | 0.449888i | \(0.851464\pi\) | |||||||
\(62\) | −5.12313 | − | 0.503539i | −0.650638 | − | 0.0639495i | ||||
\(63\) | 1.94765 | − | 9.79148i | 0.245380 | − | 1.23361i | ||||
\(64\) | 4.45262 | + | 6.64636i | 0.556578 | + | 0.830795i | ||||
\(65\) | −4.49895 | + | 3.00610i | −0.558026 | + | 0.372861i | ||||
\(66\) | −0.115283 | − | 0.0945717i | −0.0141904 | − | 0.0116410i | ||||
\(67\) | 3.72469i | 0.455044i | 0.973773 | + | 0.227522i | \(0.0730623\pi\) | ||||
−0.973773 | + | 0.227522i | \(0.926938\pi\) | |||||||
\(68\) | −4.62547 | + | 6.82679i | −0.560921 | + | 0.827870i | ||||
\(69\) | − | 2.12271i | − | 0.255544i | ||||||
\(70\) | 6.35722 | − | 7.74948i | 0.759833 | − | 0.926240i | ||||
\(71\) | −0.759116 | + | 0.507225i | −0.0900904 | + | 0.0601965i | −0.599800 | − | 0.800150i | \(-0.704753\pi\) |
0.509709 | + | 0.860347i | \(0.329753\pi\) | |||||||
\(72\) | 5.08063 | − | 4.17472i | 0.598758 | − | 0.491996i | ||||
\(73\) | −0.631605 | + | 3.17529i | −0.0739238 | + | 0.371640i | −0.999984 | − | 0.00573683i | \(-0.998174\pi\) |
0.926060 | + | 0.377377i | \(0.123174\pi\) | |||||||
\(74\) | 1.16614 | − | 11.8646i | 0.135561 | − | 1.37923i | ||||
\(75\) | 0.364781 | + | 1.83388i | 0.0421213 | + | 0.211758i | ||||
\(76\) | 7.31744 | − | 4.89363i | 0.839367 | − | 0.561338i | ||||
\(77\) | −0.509091 | − | 0.210872i | −0.0580163 | − | 0.0240311i | ||||
\(78\) | 2.94408 | − | 2.41714i | 0.333351 | − | 0.273687i | ||||
\(79\) | −6.49126 | + | 9.71485i | −0.730323 | + | 1.09301i | 0.261477 | + | 0.965210i | \(0.415790\pi\) |
−0.991800 | + | 0.127796i | \(0.959210\pi\) | |||||||
\(80\) | 6.47431 | − | 1.29326i | 0.723849 | − | 0.144591i | ||||
\(81\) | −2.38989 | − | 2.38989i | −0.265544 | − | 0.265544i | ||||
\(82\) | −12.9656 | − | 6.92687i | −1.43181 | − | 0.764944i | ||||
\(83\) | −4.75872 | + | 1.97112i | −0.522337 | + | 0.216359i | −0.628243 | − | 0.778017i | \(-0.716226\pi\) |
0.105906 | + | 0.994376i | \(0.466226\pi\) | |||||||
\(84\) | −3.91799 | + | 5.86882i | −0.427487 | + | 0.640340i | ||||
\(85\) | 3.74201 | + | 5.68426i | 0.405878 | + | 0.616545i | ||||
\(86\) | 5.68603 | + | 10.6326i | 0.613140 | + | 1.14655i | ||||
\(87\) | −3.53486 | + | 1.46419i | −0.378976 | + | 0.156977i | ||||
\(88\) | −0.171290 | − | 0.319995i | −0.0182596 | − | 0.0341115i | ||||
\(89\) | −0.886097 | + | 0.886097i | −0.0939261 | + | 0.0939261i | −0.752509 | − | 0.658582i | \(-0.771156\pi\) |
0.658582 | + | 0.752509i | \(0.271156\pi\) | |||||||
\(90\) | −1.57638 | − | 5.19285i | −0.166165 | − | 0.547374i | ||||
\(91\) | 7.82069 | − | 11.7045i | 0.819831 | − | 1.22696i | ||||
\(92\) | 1.97538 | − | 4.77444i | 0.205947 | − | 0.497770i | ||||
\(93\) | 1.14455 | − | 2.76318i | 0.118684 | − | 0.286528i | ||||
\(94\) | −0.964293 | − | 9.77039i | −0.0994592 | − | 1.00774i | ||||
\(95\) | −1.41731 | − | 7.12530i | −0.145413 | − | 0.731040i | ||||
\(96\) | −4.44644 | + | 1.35372i | −0.453813 | + | 0.138163i | ||||
\(97\) | −8.67498 | − | 1.72556i | −0.880811 | − | 0.175204i | −0.266089 | − | 0.963948i | \(-0.585732\pi\) |
−0.614721 | + | 0.788744i | \(0.710732\pi\) | |||||||
\(98\) | −4.69294 | + | 15.4818i | −0.474059 | + | 1.56390i | ||||
\(99\) | −0.248061 | + | 0.165749i | −0.0249311 | + | 0.0166584i | ||||
\(100\) | −0.886121 | + | 4.46426i | −0.0886121 | + | 0.446426i | ||||
\(101\) | 12.7602 | 1.26968 | 0.634842 | − | 0.772642i | \(-0.281065\pi\) | ||||
0.634842 | + | 0.772642i | \(0.281065\pi\) | |||||||
\(102\) | −3.01467 | − | 3.72362i | −0.298497 | − | 0.368693i | ||||
\(103\) | − | 8.51240i | − | 0.838752i | −0.907813 | − | 0.419376i | \(-0.862249\pi\) | ||
0.907813 | − | 0.419376i | \(-0.137751\pi\) | |||||||
\(104\) | 8.87125 | − | 2.69694i | 0.869898 | − | 0.264457i | ||||
\(105\) | 3.23538 | + | 4.84209i | 0.315741 | + | 0.472539i | ||||
\(106\) | −0.589255 | + | 1.94393i | −0.0572335 | + | 0.188811i | ||||
\(107\) | 0.542503 | − | 2.72735i | 0.0524457 | − | 0.263662i | −0.945662 | − | 0.325151i | \(-0.894585\pi\) |
0.998108 | + | 0.0614887i | \(0.0195848\pi\) | |||||||
\(108\) | 3.35189 | + | 8.08294i | 0.322536 | + | 0.777781i | ||||
\(109\) | −13.8733 | + | 2.75956i | −1.32882 | + | 0.264318i | −0.807915 | − | 0.589298i | \(-0.799404\pi\) |
−0.520902 | + | 0.853617i | \(0.674404\pi\) | |||||||
\(110\) | −0.298090 | + | 0.0294202i | −0.0284218 | + | 0.00280510i | ||||
\(111\) | 6.39922 | + | 2.65064i | 0.607387 | + | 0.251588i | ||||
\(112\) | −14.2739 | + | 9.55421i | −1.34876 | + | 0.902788i | ||||
\(113\) | 6.43022 | + | 4.29653i | 0.604904 | + | 0.404184i | 0.819962 | − | 0.572417i | \(-0.193994\pi\) |
−0.215059 | + | 0.976601i | \(0.568994\pi\) | |||||||
\(114\) | 1.48564 | + | 4.89394i | 0.139143 | + | 0.458360i | ||||
\(115\) | −3.01522 | − | 3.01522i | −0.281171 | − | 0.281171i | ||||
\(116\) | −9.31324 | + | 0.00376374i | −0.864712 | + | 0.000349454i | ||||
\(117\) | −2.91661 | − | 7.04131i | −0.269640 | − | 0.650970i | ||||
\(118\) | −17.1310 | + | 9.16115i | −1.57703 | + | 0.843352i | ||||
\(119\) | −14.6534 | − | 9.93701i | −1.34328 | − | 0.910924i | ||||
\(120\) | −0.373664 | + | 3.81759i | −0.0341107 | + | 0.348497i | ||||
\(121\) | −4.20322 | − | 10.1475i | −0.382111 | − | 0.922496i | ||||
\(122\) | −5.20254 | − | 2.77947i | −0.471016 | − | 0.251641i | ||||
\(123\) | 6.03907 | − | 6.03907i | 0.544525 | − | 0.544525i | ||||
\(124\) | 5.14574 | − | 5.14990i | 0.462101 | − | 0.462474i | ||||
\(125\) | 9.98502 | + | 6.67178i | 0.893088 | + | 0.596742i | ||||
\(126\) | 8.95890 | + | 10.9120i | 0.798122 | + | 0.972114i | ||||
\(127\) | 4.46964 | − | 10.7907i | 0.396616 | − | 0.957516i | −0.591846 | − | 0.806051i | \(-0.701601\pi\) |
0.988463 | − | 0.151465i | \(-0.0483992\pi\) | |||||||
\(128\) | −11.2608 | − | 1.09301i | −0.995322 | − | 0.0966094i | ||||
\(129\) | −6.87073 | + | 1.36667i | −0.604934 | + | 0.120329i | ||||
\(130\) | 0.748496 | − | 7.61538i | 0.0656474 | − | 0.667913i | ||||
\(131\) | −18.8074 | − | 3.74102i | −1.64321 | − | 0.326855i | −0.715060 | − | 0.699063i | \(-0.753601\pi\) |
−0.928149 | + | 0.372208i | \(0.878601\pi\) | |||||||
\(132\) | 0.206806 | − | 0.0412232i | 0.0180002 | − | 0.00358802i | ||||
\(133\) | 10.5005 | + | 15.7151i | 0.910509 | + | 1.36267i | ||||
\(134\) | −4.07252 | − | 3.34085i | −0.351812 | − | 0.288606i | ||||
\(135\) | 7.22148 | 0.621526 | ||||||||
\(136\) | −3.31549 | − | 11.1807i | −0.284301 | − | 0.958735i | ||||
\(137\) | −8.21097 | −0.701511 | −0.350755 | − | 0.936467i | \(-0.614075\pi\) | ||||
−0.350755 | + | 0.936467i | \(0.614075\pi\) | |||||||
\(138\) | 2.32093 | + | 1.90396i | 0.197571 | + | 0.162076i | ||||
\(139\) | 6.37970 | + | 9.54790i | 0.541119 | + | 0.809842i | 0.996769 | − | 0.0803166i | \(-0.0255931\pi\) |
−0.455650 | + | 0.890159i | \(0.650593\pi\) | |||||||
\(140\) | 2.77107 | + | 13.9017i | 0.234198 | + | 1.17491i | ||||
\(141\) | 5.59450 | + | 1.11282i | 0.471142 | + | 0.0937160i | ||||
\(142\) | 0.126295 | − | 1.28496i | 0.0105985 | − | 0.107831i | ||||
\(143\) | −0.412589 | + | 0.0820691i | −0.0345024 | + | 0.00686296i | ||||
\(144\) | 0.00751644 | + | 9.29957i | 0.000626370 | + | 0.774965i | ||||
\(145\) | −2.94130 | + | 7.10093i | −0.244262 | + | 0.589700i | ||||
\(146\) | −2.90530 | − | 3.53866i | −0.240444 | − | 0.292861i | ||||
\(147\) | −7.81498 | − | 5.22180i | −0.644568 | − | 0.430687i | ||||
\(148\) | 11.9266 | + | 11.9169i | 0.980359 | + | 0.979567i | ||||
\(149\) | 15.9196 | − | 15.9196i | 1.30418 | − | 1.30418i | 0.378635 | − | 0.925546i | \(-0.376394\pi\) |
0.925546 | − | 0.378635i | \(-0.123606\pi\) | |||||||
\(150\) | −2.33232 | − | 1.24605i | −0.190433 | − | 0.101739i | ||||
\(151\) | 6.91534 | + | 16.6951i | 0.562762 | + | 1.35863i | 0.907549 | + | 0.419947i | \(0.137951\pi\) |
−0.344786 | + | 0.938681i | \(0.612049\pi\) | |||||||
\(152\) | −1.21273 | + | 12.3901i | −0.0983657 | + | 1.00497i | ||||
\(153\) | −8.88104 | + | 3.60755i | −0.717990 | + | 0.291653i | ||||
\(154\) | 0.687191 | − | 0.367490i | 0.0553754 | − | 0.0296132i | ||||
\(155\) | −2.29920 | − | 5.55076i | −0.184676 | − | 0.445848i | ||||
\(156\) | 0.00217706 | + | 5.38705i | 0.000174304 | + | 0.431309i | ||||
\(157\) | 4.46396 | + | 4.46396i | 0.356263 | + | 0.356263i | 0.862433 | − | 0.506170i | \(-0.168939\pi\) |
−0.506170 | + | 0.862433i | \(0.668939\pi\) | |||||||
\(158\) | −4.79974 | − | 15.8111i | −0.381847 | − | 1.25787i | ||||
\(159\) | −0.981264 | − | 0.655660i | −0.0778193 | − | 0.0519972i | ||||
\(160\) | −4.39308 | + | 8.23888i | −0.347303 | + | 0.651341i | ||||
\(161\) | 10.2492 | + | 4.24537i | 0.807752 | + | 0.334582i | ||||
\(162\) | 4.75667 | − | 0.469462i | 0.373720 | − | 0.0368844i | ||||
\(163\) | 2.19822 | − | 0.437254i | 0.172178 | − | 0.0342484i | −0.108248 | − | 0.994124i | \(-0.534524\pi\) |
0.280426 | + | 0.959876i | \(0.409524\pi\) | |||||||
\(164\) | 19.2031 | − | 7.96329i | 1.49951 | − | 0.621828i | ||||
\(165\) | 0.0339515 | − | 0.170686i | 0.00264312 | − | 0.0132879i | ||||
\(166\) | 2.11312 | − | 6.97109i | 0.164010 | − | 0.541062i | ||||
\(167\) | −3.16809 | − | 4.74138i | −0.245154 | − | 0.366899i | 0.688403 | − | 0.725329i | \(-0.258312\pi\) |
−0.933557 | + | 0.358430i | \(0.883312\pi\) | |||||||
\(168\) | −2.90264 | − | 9.54788i | −0.223943 | − | 0.736635i | ||||
\(169\) | 2.25342i | 0.173340i | ||||||||
\(170\) | −9.57146 | − | 1.00703i | −0.734098 | − | 0.0772353i | ||||
\(171\) | 10.2330 | 0.782537 | ||||||||
\(172\) | −16.7256 | − | 3.31990i | −1.27532 | − | 0.253140i | ||||
\(173\) | −0.701217 | + | 0.468538i | −0.0533125 | + | 0.0356223i | −0.581941 | − | 0.813231i | \(-0.697707\pi\) |
0.528628 | + | 0.848853i | \(0.322707\pi\) | |||||||
\(174\) | 1.56966 | − | 5.17825i | 0.118996 | − | 0.392562i | ||||
\(175\) | −9.58419 | − | 1.90641i | −0.724497 | − | 0.144111i | ||||
\(176\) | 0.503515 | + | 0.0997323i | 0.0379539 | + | 0.00751761i | ||||
\(177\) | −2.20194 | − | 11.0699i | −0.165508 | − | 0.832065i | ||||
\(178\) | −0.174062 | − | 1.76363i | −0.0130465 | − | 0.132189i | ||||
\(179\) | −1.92271 | + | 4.64184i | −0.143710 | + | 0.346947i | −0.979302 | − | 0.202403i | \(-0.935125\pi\) |
0.835592 | + | 0.549351i | \(0.185125\pi\) | |||||||
\(180\) | 7.09170 | + | 2.93412i | 0.528584 | + | 0.218697i | ||||
\(181\) | 2.50824 | − | 3.75385i | 0.186436 | − | 0.279022i | −0.726464 | − | 0.687205i | \(-0.758838\pi\) |
0.912900 | + | 0.408183i | \(0.133838\pi\) | |||||||
\(182\) | 5.78275 | + | 19.0493i | 0.428646 | + | 1.41203i | ||||
\(183\) | 2.42323 | − | 2.42323i | 0.179130 | − | 0.179130i | ||||
\(184\) | 3.44849 | + | 6.44227i | 0.254226 | + | 0.474930i | ||||
\(185\) | 12.8549 | − | 5.32469i | 0.945114 | − | 0.391479i | ||||
\(186\) | 1.99462 | + | 3.72985i | 0.146252 | + | 0.273486i | ||||
\(187\) | 0.0996626 | + | 0.519623i | 0.00728805 | + | 0.0379986i | ||||
\(188\) | 11.5477 | + | 7.70918i | 0.842202 | + | 0.562249i | ||||
\(189\) | −17.3573 | + | 7.18965i | −1.26256 | + | 0.522970i | ||||
\(190\) | 9.06193 | + | 4.84135i | 0.657422 | + | 0.351228i | ||||
\(191\) | −7.24027 | − | 7.24027i | −0.523888 | − | 0.523888i | 0.394856 | − | 0.918743i | \(-0.370795\pi\) |
−0.918743 | + | 0.394856i | \(0.870795\pi\) | |||||||
\(192\) | 2.50808 | − | 6.07588i | 0.181005 | − | 0.438489i | ||||
\(193\) | 6.38433 | − | 9.55482i | 0.459554 | − | 0.687771i | −0.527246 | − | 0.849712i | \(-0.676775\pi\) |
0.986800 | + | 0.161941i | \(0.0517755\pi\) | |||||||
\(194\) | 9.66769 | − | 7.93734i | 0.694100 | − | 0.569868i | ||||
\(195\) | 4.10739 | + | 1.70134i | 0.294136 | + | 0.121835i | ||||
\(196\) | −12.7182 | − | 19.0176i | −0.908446 | − | 1.35840i | ||||
\(197\) | −3.26593 | − | 16.4189i | −0.232688 | − | 1.16980i | −0.903637 | − | 0.428298i | \(-0.859113\pi\) |
0.670949 | − | 0.741503i | \(-0.265887\pi\) | |||||||
\(198\) | 0.0412702 | − | 0.419894i | 0.00293295 | − | 0.0298405i | ||||
\(199\) | −1.30692 | + | 6.57032i | −0.0926450 | + | 0.465758i | 0.906414 | + | 0.422390i | \(0.138809\pi\) |
−0.999059 | + | 0.0433677i | \(0.986191\pi\) | |||||||
\(200\) | −4.08634 | − | 4.97307i | −0.288948 | − | 0.351649i | ||||
\(201\) | 2.54462 | − | 1.70026i | 0.179484 | − | 0.119927i | ||||
\(202\) | −11.4452 | + | 13.9518i | −0.805281 | + | 0.981642i | ||||
\(203\) | − | 19.9959i | − | 1.40344i | ||||||
\(204\) | 6.77534 | + | 0.0436934i | 0.474369 | + | 0.00305915i | ||||
\(205\) | − | 17.1565i | − | 1.19826i | ||||||
\(206\) | 9.30732 | + | 7.63517i | 0.648472 | + | 0.531968i | ||||
\(207\) | 4.99407 | − | 3.33693i | 0.347112 | − | 0.231933i | ||||
\(208\) | −5.00825 | + | 12.1187i | −0.347260 | + | 0.840280i | ||||
\(209\) | 0.110191 | − | 0.553965i | 0.00762204 | − | 0.0383186i | ||||
\(210\) | −8.19622 | − | 0.805585i | −0.565593 | − | 0.0555906i | ||||
\(211\) | 4.19940 | + | 21.1118i | 0.289099 | + | 1.45340i | 0.803221 | + | 0.595681i | \(0.203118\pi\) |
−0.514122 | + | 0.857717i | \(0.671882\pi\) | |||||||
\(212\) | −1.59693 | − | 2.38788i | −0.109677 | − | 0.164000i | ||||
\(213\) | 0.693047 | + | 0.287069i | 0.0474868 | + | 0.0196697i | ||||
\(214\) | 2.49544 | + | 3.03945i | 0.170585 | + | 0.207772i | ||||
\(215\) | −7.81828 | + | 11.7009i | −0.533203 | + | 0.797994i | ||||
\(216\) | −11.8442 | − | 3.58507i | −0.805897 | − | 0.243933i | ||||
\(217\) | 11.0526 | + | 11.0526i | 0.750299 | + | 0.750299i | ||||
\(218\) | 9.42631 | − | 17.6440i | 0.638431 | − | 1.19500i | ||||
\(219\) | 2.45760 | − | 1.01797i | 0.166069 | − | 0.0687881i | ||||
\(220\) | 0.235204 | − | 0.352315i | 0.0158574 | − | 0.0237531i | ||||
\(221\) | −13.5160 | − | 0.0926259i | −0.909187 | − | 0.00623069i | ||||
\(222\) | −8.63792 | + | 4.61931i | −0.579739 | + | 0.310028i | ||||
\(223\) | 10.8572 | − | 4.49720i | 0.727051 | − | 0.301154i | 0.0117116 | − | 0.999931i | \(-0.496272\pi\) |
0.715340 | + | 0.698777i | \(0.246272\pi\) | |||||||
\(224\) | 2.35651 | − | 24.1765i | 0.157451 | − | 1.61536i | ||||
\(225\) | −3.74110 | + | 3.74110i | −0.249406 | + | 0.249406i | ||||
\(226\) | −10.4653 | + | 3.17693i | −0.696143 | + | 0.211326i | ||||
\(227\) | 1.55096 | − | 2.32117i | 0.102941 | − | 0.154062i | −0.776423 | − | 0.630212i | \(-0.782968\pi\) |
0.879364 | + | 0.476150i | \(0.157968\pi\) | |||||||
\(228\) | −6.68350 | − | 2.76523i | −0.442625 | − | 0.183132i | ||||
\(229\) | −11.3819 | + | 27.4784i | −0.752138 | + | 1.81582i | −0.205037 | + | 0.978754i | \(0.565731\pi\) |
−0.547101 | + | 0.837067i | \(0.684269\pi\) | |||||||
\(230\) | 6.00128 | − | 0.592299i | 0.395713 | − | 0.0390550i | ||||
\(231\) | 0.0883286 | + | 0.444058i | 0.00581159 | + | 0.0292169i | ||||
\(232\) | 8.34936 | − | 10.1863i | 0.548162 | − | 0.668764i | ||||
\(233\) | −6.35323 | − | 1.26374i | −0.416214 | − | 0.0827901i | −0.0174590 | − | 0.999848i | \(-0.505558\pi\) |
−0.398755 | + | 0.917057i | \(0.630558\pi\) | |||||||
\(234\) | 10.3149 | + | 3.12671i | 0.674306 | + | 0.204400i | ||||
\(235\) | 9.52747 | − | 6.36605i | 0.621503 | − | 0.415275i | ||||
\(236\) | 5.34893 | − | 26.9478i | 0.348185 | − | 1.75415i | ||||
\(237\) | 9.60010 | 0.623593 | ||||||||
\(238\) | 24.0083 | − | 7.10881i | 1.55623 | − | 0.460796i | ||||
\(239\) | 12.7854i | 0.827016i | 0.910500 | + | 0.413508i | \(0.135697\pi\) | ||||
−0.910500 | + | 0.413508i | \(0.864303\pi\) | |||||||
\(240\) | −3.83894 | − | 3.83273i | −0.247802 | − | 0.247402i | ||||
\(241\) | 1.59519 | + | 2.38736i | 0.102755 | + | 0.153784i | 0.879284 | − | 0.476298i | \(-0.158022\pi\) |
−0.776529 | + | 0.630081i | \(0.783022\pi\) | |||||||
\(242\) | 14.8651 | + | 4.50601i | 0.955566 | + | 0.289657i | ||||
\(243\) | −3.10244 | + | 15.5970i | −0.199022 | + | 1.00055i | ||||
\(244\) | 7.70543 | − | 3.19534i | 0.493289 | − | 0.204561i | ||||
\(245\) | −18.5182 | + | 3.68350i | −1.18308 | + | 0.235330i | ||||
\(246\) | 1.18629 | + | 12.0197i | 0.0756353 | + | 0.766351i | ||||
\(247\) | 13.3306 | + | 5.52172i | 0.848207 | + | 0.351339i | ||||
\(248\) | 1.01536 | + | 10.2454i | 0.0644754 | + | 0.650586i | ||||
\(249\) | 3.51890 | + | 2.35125i | 0.223001 | + | 0.149005i | ||||
\(250\) | −16.2508 | + | 4.93323i | −1.02779 | + | 0.312005i | ||||
\(251\) | −4.86266 | − | 4.86266i | −0.306928 | − | 0.306928i | 0.536789 | − | 0.843717i | \(-0.319637\pi\) |
−0.843717 | + | 0.536789i | \(0.819637\pi\) | |||||||
\(252\) | −19.9666 | + | 0.00806907i | −1.25778 | + | 0.000508303i | ||||
\(253\) | −0.126868 | − | 0.306287i | −0.00797614 | − | 0.0192561i | ||||
\(254\) | 7.78930 | + | 14.5657i | 0.488744 | + | 0.913931i | ||||
\(255\) | 2.17518 | − | 5.15122i | 0.136215 | − | 0.322582i | ||||
\(256\) | 11.2954 | − | 11.3320i | 0.705963 | − | 0.708249i | ||||
\(257\) | 3.21534 | + | 7.76252i | 0.200567 | + | 0.484213i | 0.991877 | − | 0.127204i | \(-0.0406001\pi\) |
−0.791309 | + | 0.611416i | \(0.790600\pi\) | |||||||
\(258\) | 4.66838 | − | 8.73817i | 0.290641 | − | 0.544015i | ||||
\(259\) | −25.5966 | + | 25.5966i | −1.59049 | + | 1.59049i | ||||
\(260\) | 7.65517 | + | 7.64898i | 0.474753 | + | 0.474370i | ||||
\(261\) | −9.00161 | − | 6.01468i | −0.557186 | − | 0.372300i | ||||
\(262\) | 20.9596 | − | 17.2082i | 1.29489 | − | 1.06313i | ||||
\(263\) | −4.88181 | + | 11.7857i | −0.301025 | + | 0.726739i | 0.698908 | + | 0.715211i | \(0.253670\pi\) |
−0.999934 | + | 0.0115280i | \(0.996330\pi\) | |||||||
\(264\) | −0.140421 | + | 0.263093i | −0.00864234 | + | 0.0161923i | ||||
\(265\) | −2.32518 | + | 0.462507i | −0.142835 | + | 0.0284116i | ||||
\(266\) | −26.6010 | − | 2.61454i | −1.63101 | − | 0.160308i | ||||
\(267\) | 1.00985 | + | 0.200871i | 0.0618017 | + | 0.0122931i | ||||
\(268\) | 7.30566 | − | 1.45626i | 0.446264 | − | 0.0889550i | ||||
\(269\) | 5.07304 | + | 7.59234i | 0.309309 | + | 0.462913i | 0.953259 | − | 0.302154i | \(-0.0977057\pi\) |
−0.643950 | + | 0.765067i | \(0.722706\pi\) | |||||||
\(270\) | −6.47728 | + | 7.89584i | −0.394195 | + | 0.480526i | ||||
\(271\) | 12.5928 | 0.764955 | 0.382478 | − | 0.923965i | \(-0.375071\pi\) | ||||
0.382478 | + | 0.923965i | \(0.375071\pi\) | |||||||
\(272\) | 15.1986 | + | 6.40336i | 0.921549 | + | 0.388261i | ||||
\(273\) | −11.5662 | −0.700020 | ||||||||
\(274\) | 7.36480 | − | 8.97774i | 0.444924 | − | 0.542365i | ||||
\(275\) | 0.162240 | + | 0.242810i | 0.00978345 | + | 0.0146420i | ||||
\(276\) | −4.16351 | + | 0.829923i | −0.250614 | + | 0.0499555i | ||||
\(277\) | −25.2468 | − | 5.02190i | −1.51693 | − | 0.301737i | −0.634777 | − | 0.772695i | \(-0.718908\pi\) |
−0.882155 | + | 0.470959i | \(0.843908\pi\) | |||||||
\(278\) | −16.1618 | − | 1.58850i | −0.969319 | − | 0.0952718i | ||||
\(279\) | 8.30014 | − | 1.65100i | 0.496916 | − | 0.0988428i | ||||
\(280\) | −17.6854 | − | 9.43928i | −1.05691 | − | 0.564105i | ||||
\(281\) | 12.5687 | − | 30.3435i | 0.749784 | − | 1.81014i | 0.189414 | − | 0.981897i | \(-0.439341\pi\) |
0.560370 | − | 0.828242i | \(-0.310659\pi\) | |||||||
\(282\) | −6.23471 | + | 5.11880i | −0.371271 | + | 0.304820i | ||||
\(283\) | 15.7022 | + | 10.4918i | 0.933396 | + | 0.623675i | 0.926497 | − | 0.376301i | \(-0.122804\pi\) |
0.00689850 | + | 0.999976i | \(0.497804\pi\) | |||||||
\(284\) | 1.29167 | + | 1.29063i | 0.0766466 | + | 0.0765846i | ||||
\(285\) | −4.22085 | + | 4.22085i | −0.250022 | + | 0.250022i | ||||
\(286\) | 0.280337 | − | 0.524730i | 0.0165767 | − | 0.0310279i | ||||
\(287\) | 17.0809 | + | 41.2369i | 1.00825 | + | 2.43414i | ||||
\(288\) | −10.1747 | − | 8.33300i | −0.599552 | − | 0.491027i | ||||
\(289\) | −0.232992 | + | 16.9984i | −0.0137054 | + | 0.999906i | ||||
\(290\) | −5.12585 | − | 9.58513i | −0.301000 | − | 0.562858i | ||||
\(291\) | 2.78112 | + | 6.71422i | 0.163032 | + | 0.393595i | ||||
\(292\) | 6.47500 | − | 0.00261673i | 0.378921 | − | 0.000153133i | ||||
\(293\) | 2.94002 | + | 2.94002i | 0.171758 | + | 0.171758i | 0.787751 | − | 0.615994i | \(-0.211245\pi\) |
−0.615994 | + | 0.787751i | \(0.711245\pi\) | |||||||
\(294\) | 12.7190 | − | 3.86109i | 0.741790 | − | 0.225183i | ||||
\(295\) | −18.8521 | − | 12.5966i | −1.09761 | − | 0.733401i | ||||
\(296\) | −23.7273 | + | 2.35146i | −1.37912 | + | 0.136676i | ||||
\(297\) | 0.518706 | + | 0.214855i | 0.0300983 | + | 0.0124671i | ||||
\(298\) | 3.12718 | + | 31.6852i | 0.181153 | + | 1.83547i | ||||
\(299\) | 8.30642 | − | 1.65225i | 0.480372 | − | 0.0955520i | ||||
\(300\) | 3.45437 | − | 1.43248i | 0.199438 | − | 0.0827045i | ||||
\(301\) | 7.14249 | − | 35.9077i | 0.411687 | − | 2.06969i | ||||
\(302\) | −24.4568 | − | 7.41350i | −1.40733 | − | 0.426599i | ||||
\(303\) | −5.82480 | − | 8.71743i | −0.334626 | − | 0.500804i | ||||
\(304\) | −12.4594 | − | 12.4392i | −0.714593 | − | 0.713439i | ||||
\(305\) | − | 6.88420i | − | 0.394188i | ||||||
\(306\) | 4.02139 | − | 12.9462i | 0.229888 | − | 0.740083i | ||||
\(307\) | −17.5822 | −1.00347 | −0.501734 | − | 0.865022i | \(-0.667304\pi\) | ||||
−0.501734 | + | 0.865022i | \(0.667304\pi\) | |||||||
\(308\) | −0.214567 | + | 1.08098i | −0.0122261 | + | 0.0615947i | ||||
\(309\) | −5.81546 | + | 3.88577i | −0.330830 | + | 0.221054i | ||||
\(310\) | 8.13137 | + | 2.46483i | 0.461831 | + | 0.139993i | ||||
\(311\) | −12.9719 | − | 2.58028i | −0.735571 | − | 0.146314i | −0.186931 | − | 0.982373i | \(-0.559854\pi\) |
−0.548640 | + | 0.836059i | \(0.684854\pi\) | |||||||
\(312\) | −5.89206 | − | 4.82951i | −0.333572 | − | 0.273417i | ||||
\(313\) | −6.19591 | − | 31.1489i | −0.350213 | − | 1.76064i | −0.607513 | − | 0.794310i | \(-0.707833\pi\) |
0.257299 | − | 0.966332i | \(-0.417167\pi\) | |||||||
\(314\) | −8.88476 | + | 0.876885i | −0.501396 | + | 0.0494855i | ||||
\(315\) | −6.30584 | + | 15.2237i | −0.355294 | + | 0.857756i | ||||
\(316\) | 21.5927 | + | 8.93378i | 1.21469 | + | 0.502565i | ||||
\(317\) | 10.3583 | − | 15.5022i | 0.581778 | − | 0.870693i | −0.417500 | − | 0.908677i | \(-0.637094\pi\) |
0.999278 | + | 0.0379839i | \(0.0120936\pi\) | |||||||
\(318\) | 1.59703 | − | 0.484806i | 0.0895569 | − | 0.0271866i | ||||
\(319\) | −0.422537 | + | 0.422537i | −0.0236575 | + | 0.0236575i | ||||
\(320\) | −5.06790 | − | 12.1932i | −0.283304 | − | 0.681618i | ||||
\(321\) | −2.11090 | + | 0.874363i | −0.117819 | + | 0.0488022i | ||||
\(322\) | −13.8348 | + | 7.39846i | −0.770984 | + | 0.412300i | ||||
\(323\) | 7.05960 | − | 16.7184i | 0.392807 | − | 0.930237i | ||||
\(324\) | −3.75318 | + | 5.62195i | −0.208510 | + | 0.312330i | ||||
\(325\) | −6.89225 | + | 2.85486i | −0.382313 | + | 0.158359i | ||||
\(326\) | −1.49360 | + | 2.79569i | −0.0827230 | + | 0.154839i | ||||
\(327\) | 8.21818 | + | 8.21818i | 0.454466 | + | 0.454466i | ||||
\(328\) | −8.51726 | + | 28.1390i | −0.470287 | + | 1.55372i | ||||
\(329\) | −16.5620 | + | 24.7867i | −0.913091 | + | 1.36654i | ||||
\(330\) | 0.156172 | + | 0.190218i | 0.00859701 | + | 0.0104712i | ||||
\(331\) | −28.8044 | − | 11.9312i | −1.58323 | − | 0.655796i | −0.594311 | − | 0.804235i | \(-0.702575\pi\) |
−0.988922 | + | 0.148439i | \(0.952575\pi\) | |||||||
\(332\) | 5.72672 | + | 8.56315i | 0.314295 | + | 0.469964i | ||||
\(333\) | 3.82353 | + | 19.2222i | 0.209528 | + | 1.05337i | ||||
\(334\) | 8.02575 | + | 0.788830i | 0.439150 | + | 0.0431629i | ||||
\(335\) | 1.19938 | − | 6.02967i | 0.0655290 | − | 0.329436i | ||||
\(336\) | 13.0430 | + | 5.39024i | 0.711554 | + | 0.294062i | ||||
\(337\) | 11.8732 | − | 7.93343i | 0.646775 | − | 0.432161i | −0.188440 | − | 0.982085i | \(-0.560343\pi\) |
0.835215 | + | 0.549923i | \(0.185343\pi\) | |||||||
\(338\) | −2.46385 | − | 2.02120i | −0.134016 | − | 0.109939i | ||||
\(339\) | − | 6.35426i | − | 0.345116i | ||||||
\(340\) | 9.68616 | − | 9.56203i | 0.525306 | − | 0.518574i | ||||
\(341\) | − | 0.467107i | − | 0.0252953i | ||||||
\(342\) | −9.17846 | + | 11.1886i | −0.496314 | + | 0.605010i | ||||
\(343\) | 15.8497 | − | 10.5904i | 0.855805 | − | 0.571831i | ||||
\(344\) | 18.6319 | − | 15.3097i | 1.00457 | − | 0.825445i | ||||
\(345\) | −0.683527 | + | 3.43632i | −0.0367998 | + | 0.185005i | ||||
\(346\) | 0.116662 | − | 1.18695i | 0.00627181 | − | 0.0638109i | ||||
\(347\) | 3.56365 | + | 17.9157i | 0.191307 | + | 0.961765i | 0.950459 | + | 0.310851i | \(0.100614\pi\) |
−0.759152 | + | 0.650914i | \(0.774386\pi\) | |||||||
\(348\) | 4.25391 | + | 6.36086i | 0.228033 | + | 0.340978i | ||||
\(349\) | −18.5330 | − | 7.67664i | −0.992051 | − | 0.410921i | −0.173175 | − | 0.984891i | \(-0.555403\pi\) |
−0.818876 | + | 0.573970i | \(0.805403\pi\) | |||||||
\(350\) | 10.6810 | − | 8.76924i | 0.570921 | − | 0.468736i | ||||
\(351\) | −7.96840 | + | 11.9255i | −0.425322 | + | 0.636539i | ||||
\(352\) | −0.560672 | + | 0.461080i | −0.0298839 | + | 0.0245757i | ||||
\(353\) | 4.65183 | + | 4.65183i | 0.247592 | + | 0.247592i | 0.819982 | − | 0.572390i | \(-0.193984\pi\) |
−0.572390 | + | 0.819982i | \(0.693984\pi\) | |||||||
\(354\) | 14.0787 | + | 7.52155i | 0.748273 | + | 0.399766i | ||||
\(355\) | 1.39221 | − | 0.576674i | 0.0738911 | − | 0.0306067i | ||||
\(356\) | 2.08444 | + | 1.39156i | 0.110475 | + | 0.0737526i | ||||
\(357\) | −0.0996905 | + | 14.5469i | −0.00527618 | + | 0.769905i | ||||
\(358\) | −3.35074 | − | 6.26574i | −0.177092 | − | 0.331155i | ||||
\(359\) | 17.9010 | − | 7.41484i | 0.944779 | − | 0.391340i | 0.143513 | − | 0.989648i | \(-0.454160\pi\) |
0.801266 | + | 0.598308i | \(0.204160\pi\) | |||||||
\(360\) | −9.56900 | + | 5.12220i | −0.504331 | + | 0.269963i | ||||
\(361\) | −0.263841 | + | 0.263841i | −0.0138864 | + | 0.0138864i | ||||
\(362\) | 1.85464 | + | 6.10948i | 0.0974776 | + | 0.321107i | ||||
\(363\) | −5.01380 | + | 7.50368i | −0.263156 | + | 0.393841i | ||||
\(364\) | −26.0150 | − | 10.7635i | −1.36356 | − | 0.564158i | ||||
\(365\) | 2.04493 | − | 4.93690i | 0.107037 | − | 0.258409i | ||||
\(366\) | 0.476011 | + | 4.82303i | 0.0248815 | + | 0.252104i | ||||
\(367\) | −0.558331 | − | 2.80692i | −0.0291446 | − | 0.146520i | 0.963473 | − | 0.267805i | \(-0.0862984\pi\) |
−0.992618 | + | 0.121285i | \(0.961298\pi\) | |||||||
\(368\) | −10.1370 | − | 2.00785i | −0.528426 | − | 0.104667i | ||||
\(369\) | 23.7015 | + | 4.71453i | 1.23385 | + | 0.245429i | ||||
\(370\) | −5.70827 | + | 18.8313i | −0.296759 | + | 0.978995i | ||||
\(371\) | 5.12827 | − | 3.42660i | 0.266247 | − | 0.177900i | ||||
\(372\) | −5.86722 | − | 1.16460i | −0.304201 | − | 0.0603816i | ||||
\(373\) | 18.3339 | 0.949292 | 0.474646 | − | 0.880177i | \(-0.342576\pi\) | ||||
0.474646 | + | 0.880177i | \(0.342576\pi\) | |||||||
\(374\) | −0.657539 | − | 0.357105i | −0.0340005 | − | 0.0184655i | ||||
\(375\) | − | 9.86708i | − | 0.509534i | ||||||
\(376\) | −18.7868 | + | 5.71134i | −0.968853 | + | 0.294540i | ||||
\(377\) | −8.48095 | − | 12.6926i | −0.436791 | − | 0.653704i | ||||
\(378\) | 7.70757 | − | 25.4270i | 0.396435 | − | 1.30782i | ||||
\(379\) | 6.92319 | − | 34.8052i | 0.355620 | − | 1.78782i | −0.225750 | − | 0.974185i | \(-0.572483\pi\) |
0.581371 | − | 0.813639i | \(-0.302517\pi\) | |||||||
\(380\) | −13.4215 | + | 5.56573i | −0.688510 | + | 0.285516i | ||||
\(381\) | −9.41222 | + | 1.87221i | −0.482203 | + | 0.0959161i | ||||
\(382\) | 14.4105 | − | 1.42225i | 0.737307 | − | 0.0727688i | ||||
\(383\) | −13.2592 | − | 5.49215i | −0.677515 | − | 0.280636i | 0.0172729 | − | 0.999851i | \(-0.494502\pi\) |
−0.694787 | + | 0.719215i | \(0.744502\pi\) | |||||||
\(384\) | 4.39364 | + | 8.19203i | 0.224212 | + | 0.418048i | ||||
\(385\) | 0.756233 | + | 0.505298i | 0.0385412 | + | 0.0257524i | ||||
\(386\) | 4.72068 | + | 15.5507i | 0.240276 | + | 0.791509i | ||||
\(387\) | −14.0162 | − | 14.0162i | −0.712485 | − | 0.712485i | ||||
\(388\) | 0.00714897 | + | 17.6899i | 0.000362934 | + | 0.898067i | ||||
\(389\) | −12.8699 | − | 31.0706i | −0.652529 | − | 1.57534i | −0.809096 | − | 0.587676i | \(-0.800043\pi\) |
0.156567 | − | 0.987667i | \(-0.449957\pi\) | |||||||
\(390\) | −5.54432 | + | 2.96494i | −0.280747 | + | 0.150136i | ||||
\(391\) | −2.00645 | − | 10.4613i | −0.101471 | − | 0.529049i | ||||
\(392\) | 32.2011 | + | 3.15182i | 1.62640 | + | 0.159191i | ||||
\(393\) | 6.02948 | + | 14.5565i | 0.304147 | + | 0.734276i | ||||
\(394\) | 20.8816 | + | 11.1560i | 1.05200 | + | 0.562032i | ||||
\(395\) | 13.6365 | − | 13.6365i | 0.686129 | − | 0.686129i | ||||
\(396\) | 0.422087 | + | 0.421746i | 0.0212107 | + | 0.0211936i | ||||
\(397\) | 14.3219 | + | 9.56956i | 0.718794 | + | 0.480283i | 0.860386 | − | 0.509642i | \(-0.170222\pi\) |
−0.141593 | + | 0.989925i | \(0.545222\pi\) | |||||||
\(398\) | −6.01164 | − | 7.32219i | −0.301336 | − | 0.367028i | ||||
\(399\) | 5.94287 | − | 14.3474i | 0.297516 | − | 0.718266i | ||||
\(400\) | 9.10271 | − | 0.00735732i | 0.455135 | − | 0.000367866i | ||||
\(401\) | −14.9183 | + | 2.96743i | −0.744984 | + | 0.148187i | −0.552965 | − | 0.833205i | \(-0.686504\pi\) |
−0.192019 | + | 0.981391i | \(0.561504\pi\) | |||||||
\(402\) | −0.423352 | + | 4.30729i | −0.0211149 | + | 0.214828i | ||||
\(403\) | 11.7035 | + | 2.32798i | 0.582995 | + | 0.115965i | ||||
\(404\) | −4.98889 | − | 25.0280i | −0.248206 | − | 1.24519i | ||||
\(405\) | 3.09929 | + | 4.63841i | 0.154005 | + | 0.230484i | ||||
\(406\) | 21.8632 | + | 17.9353i | 1.08505 | + | 0.890113i | ||||
\(407\) | 1.08177 | 0.0536213 | ||||||||
\(408\) | −6.12489 | + | 7.36885i | −0.303227 | + | 0.364813i | ||||
\(409\) | 18.7470 | 0.926980 | 0.463490 | − | 0.886102i | \(-0.346597\pi\) | ||||
0.463490 | + | 0.886102i | \(0.346597\pi\) | |||||||
\(410\) | 18.7586 | + | 15.3885i | 0.926423 | + | 0.759982i | ||||
\(411\) | 3.74817 | + | 5.60953i | 0.184884 | + | 0.276698i | ||||
\(412\) | −16.6963 | + | 3.32812i | −0.822569 | + | 0.163965i | ||||
\(413\) | 57.8534 | + | 11.5078i | 2.84678 | + | 0.566260i | ||||
\(414\) | −0.830870 | + | 8.45347i | −0.0408350 | + | 0.415466i | ||||
\(415\) | 8.33830 | − | 1.65859i | 0.409311 | − | 0.0814171i | ||||
\(416\) | −8.75823 | − | 16.3458i | −0.429408 | − | 0.801417i | ||||
\(417\) | 3.61066 | − | 8.71691i | 0.176815 | − | 0.426869i | ||||
\(418\) | 0.506861 | + | 0.617358i | 0.0247914 | + | 0.0301960i | ||||
\(419\) | −10.2065 | − | 6.81973i | −0.498618 | − | 0.333166i | 0.280699 | − | 0.959796i | \(-0.409434\pi\) |
−0.779317 | + | 0.626630i | \(0.784434\pi\) | |||||||
\(420\) | 8.23238 | − | 8.23904i | 0.401699 | − | 0.402024i | ||||
\(421\) | 19.1632 | − | 19.1632i | 0.933956 | − | 0.933956i | −0.0639943 | − | 0.997950i | \(-0.520384\pi\) |
0.997950 | + | 0.0639943i | \(0.0203840\pi\) | |||||||
\(422\) | −26.8500 | − | 14.3446i | −1.30704 | − | 0.698285i | ||||
\(423\) | 6.17653 | + | 14.9115i | 0.300313 | + | 0.725020i | ||||
\(424\) | 4.04323 | + | 0.395749i | 0.196357 | + | 0.0192193i | ||||
\(425\) | 3.53117 | + | 8.69303i | 0.171287 | + | 0.421674i | ||||
\(426\) | −0.935503 | + | 0.500280i | −0.0453253 | + | 0.0242386i | ||||
\(427\) | 6.85385 | + | 16.5467i | 0.331681 | + | 0.800749i | ||||
\(428\) | −5.56155 | + | 0.00224758i | −0.268828 | + | 0.000108641i | ||||
\(429\) | 0.244408 | + | 0.244408i | 0.0118001 | + | 0.0118001i | ||||
\(430\) | −5.78097 | − | 19.0435i | −0.278783 | − | 0.918357i | ||||
\(431\) | 18.4061 | + | 12.2986i | 0.886591 | + | 0.592401i | 0.913320 | − | 0.407242i | \(-0.133509\pi\) |
−0.0267298 | + | 0.999643i | \(0.508509\pi\) | |||||||
\(432\) | 14.5435 | − | 9.73466i | 0.699724 | − | 0.468359i | ||||
\(433\) | −28.9741 | − | 12.0015i | −1.39241 | − | 0.576754i | −0.444638 | − | 0.895710i | \(-0.646668\pi\) |
−0.947770 | + | 0.318956i | \(0.896668\pi\) | |||||||
\(434\) | −21.9983 | + | 2.17113i | −1.05595 | + | 0.104218i | ||||
\(435\) | 6.19384 | − | 1.23203i | 0.296972 | − | 0.0590713i | ||||
\(436\) | 10.8367 | + | 26.1323i | 0.518985 | + | 1.25151i | ||||
\(437\) | −2.21840 | + | 11.1527i | −0.106121 | + | 0.533504i | ||||
\(438\) | −1.09130 | + | 3.60017i | −0.0521445 | + | 0.172023i | ||||
\(439\) | 3.06257 | + | 4.58346i | 0.146168 | + | 0.218756i | 0.897328 | − | 0.441364i | \(-0.145505\pi\) |
−0.751160 | + | 0.660120i | \(0.770505\pi\) | |||||||
\(440\) | 0.174250 | + | 0.573176i | 0.00830707 | + | 0.0273251i | ||||
\(441\) | − | 26.5949i | − | 1.26643i | ||||||
\(442\) | 12.2244 | − | 14.6951i | 0.581457 | − | 0.698976i | ||||
\(443\) | 7.96439 | 0.378399 | 0.189200 | − | 0.981939i | \(-0.439411\pi\) | ||||
0.189200 | + | 0.981939i | \(0.439411\pi\) | |||||||
\(444\) | 2.69708 | − | 13.5878i | 0.127998 | − | 0.644850i | ||||
\(445\) | 1.71978 | − | 1.14912i | 0.0815252 | − | 0.0544734i | ||||
\(446\) | −4.82116 | + | 15.9048i | −0.228289 | + | 0.753115i | ||||
\(447\) | −18.1429 | − | 3.60884i | −0.858128 | − | 0.170692i | ||||
\(448\) | 24.3205 | + | 24.2616i | 1.14903 | + | 1.14625i | ||||
\(449\) | 1.14085 | + | 5.73542i | 0.0538398 | + | 0.270671i | 0.998323 | − | 0.0578886i | \(-0.0184368\pi\) |
−0.944483 | + | 0.328560i | \(0.893437\pi\) | |||||||
\(450\) | −0.734888 | − | 7.44602i | −0.0346429 | − | 0.351009i | ||||
\(451\) | 0.510444 | − | 1.23232i | 0.0240359 | − | 0.0580277i | ||||
\(452\) | 5.91323 | − | 14.2921i | 0.278135 | − | 0.672246i | ||||
\(453\) | 8.24895 | − | 12.3454i | 0.387569 | − | 0.580039i | ||||
\(454\) | 1.14680 | + | 3.77776i | 0.0538222 | + | 0.177299i | ||||
\(455\) | −16.4294 | + | 16.4294i | −0.770220 | + | 0.770220i | ||||
\(456\) | 9.01820 | − | 4.82736i | 0.422316 | − | 0.226062i | ||||
\(457\) | −9.51504 | + | 3.94126i | −0.445095 | + | 0.184364i | −0.593962 | − | 0.804493i | \(-0.702437\pi\) |
0.148868 | + | 0.988857i | \(0.452437\pi\) | |||||||
\(458\) | −19.8354 | − | 37.0914i | −0.926848 | − | 1.73317i | ||||
\(459\) | 14.9302 | + | 10.1247i | 0.696880 | + | 0.472580i | ||||
\(460\) | −4.73522 | + | 7.09296i | −0.220781 | + | 0.330711i | ||||
\(461\) | −7.51342 | + | 3.11216i | −0.349935 | + | 0.144948i | −0.550725 | − | 0.834686i | \(-0.685649\pi\) |
0.200791 | + | 0.979634i | \(0.435649\pi\) | |||||||
\(462\) | −0.564751 | − | 0.301719i | −0.0262746 | − | 0.0140372i | ||||
\(463\) | −26.0197 | − | 26.0197i | −1.20924 | − | 1.20924i | −0.971274 | − | 0.237964i | \(-0.923520\pi\) |
−0.237964 | − | 0.971274i | \(-0.576480\pi\) | |||||||
\(464\) | 3.64861 | + | 18.2656i | 0.169382 | + | 0.847960i | ||||
\(465\) | −2.74260 | + | 4.10459i | −0.127185 | + | 0.190346i | ||||
\(466\) | 7.08026 | − | 5.81301i | 0.327987 | − | 0.269283i | ||||
\(467\) | 0.560574 | + | 0.232198i | 0.0259403 | + | 0.0107448i | 0.395616 | − | 0.918416i | \(-0.370531\pi\) |
−0.369676 | + | 0.929161i | \(0.620531\pi\) | |||||||
\(468\) | −12.6706 | + | 8.47364i | −0.585699 | + | 0.391694i | ||||
\(469\) | 3.12031 | + | 15.6868i | 0.144082 | + | 0.724351i | ||||
\(470\) | −1.58510 | + | 16.1272i | −0.0731151 | + | 0.743891i | ||||
\(471\) | 1.01195 | − | 5.08739i | 0.0466280 | − | 0.234415i | ||||
\(472\) | 24.6665 | + | 30.0191i | 1.13537 | + | 1.38174i | ||||
\(473\) | −0.909700 | + | 0.607842i | −0.0418281 | + | 0.0279486i | ||||
\(474\) | −8.61077 | + | 10.4966i | −0.395506 | + | 0.482124i | ||||
\(475\) | − | 10.0164i | − | 0.459583i | ||||||
\(476\) | −13.7615 | + | 32.6265i | −0.630757 | + | 1.49543i | ||||
\(477\) | − | 3.33931i | − | 0.152897i | ||||||
\(478\) | −13.9793 | − | 11.4678i | −0.639398 | − | 0.524524i | ||||
\(479\) | −26.8598 | + | 17.9471i | −1.22725 | + | 0.820025i | −0.988524 | − | 0.151061i | \(-0.951731\pi\) |
−0.238730 | + | 0.971086i | \(0.576731\pi\) | |||||||
\(480\) | 7.63397 | − | 0.759669i | 0.348441 | − | 0.0346740i | ||||
\(481\) | −5.39134 | + | 27.1041i | −0.245824 | + | 1.23584i | ||||
\(482\) | −4.04110 | − | 0.397189i | −0.184067 | − | 0.0180915i | ||||
\(483\) | −1.77827 | − | 8.93996i | −0.0809140 | − | 0.406782i | ||||
\(484\) | −18.2600 | + | 12.2116i | −0.830001 | + | 0.555074i | ||||
\(485\) | 13.4877 | + | 5.58680i | 0.612447 | + | 0.253684i | ||||
\(486\) | −14.2708 | − | 17.3819i | −0.647337 | − | 0.788457i | ||||
\(487\) | 3.03440 | − | 4.54130i | 0.137502 | − | 0.205786i | −0.756328 | − | 0.654193i | \(-0.773008\pi\) |
0.893830 | + | 0.448407i | \(0.148008\pi\) | |||||||
\(488\) | −3.41762 | + | 11.2910i | −0.154709 | + | 0.511121i | ||||
\(489\) | −1.30217 | − | 1.30217i | −0.0588863 | − | 0.0588863i | ||||
\(490\) | 12.5824 | − | 23.5514i | 0.568413 | − | 1.06394i | ||||
\(491\) | −11.2995 | + | 4.68043i | −0.509941 | + | 0.211225i | −0.622792 | − | 0.782387i | \(-0.714002\pi\) |
0.112851 | + | 0.993612i | \(0.464002\pi\) | |||||||
\(492\) | −14.2062 | − | 9.48400i | −0.640466 | − | 0.427572i | ||||
\(493\) | −16.0367 | + | 10.5571i | −0.722257 | + | 0.475470i | ||||
\(494\) | −17.9942 | + | 9.62278i | −0.809598 | + | 0.432949i | ||||
\(495\) | 0.454943 | − | 0.188443i | 0.0204481 | − | 0.00846990i | ||||
\(496\) | −12.1129 | − | 8.07944i | −0.543886 | − | 0.362777i | ||||
\(497\) | −2.77215 | + | 2.77215i | −0.124348 | + | 0.124348i | ||||
\(498\) | −5.72708 | + | 1.73856i | −0.256637 | + | 0.0779065i | ||||
\(499\) | −6.26864 | + | 9.38168i | −0.280623 | + | 0.419982i | −0.944827 | − | 0.327569i | \(-0.893770\pi\) |
0.664204 | + | 0.747551i | \(0.268770\pi\) | |||||||
\(500\) | 9.18223 | − | 22.1932i | 0.410642 | − | 0.992512i | ||||
\(501\) | −1.79301 | + | 4.32872i | −0.0801060 | + | 0.193393i | ||||
\(502\) | 9.67830 | − | 0.955204i | 0.431963 | − | 0.0426328i | ||||
\(503\) | −8.11441 | − | 40.7939i | −0.361804 | − | 1.81891i | −0.548095 | − | 0.836416i | \(-0.684647\pi\) |
0.186291 | − | 0.982495i | \(-0.440353\pi\) | |||||||
\(504\) | 17.9002 | − | 21.8384i | 0.797336 | − | 0.972759i | ||||
\(505\) | −20.6566 | − | 4.10886i | −0.919208 | − | 0.182842i | ||||
\(506\) | 0.448683 | + | 0.136008i | 0.0199464 | + | 0.00604627i | ||||
\(507\) | 1.53948 | − | 1.02865i | 0.0683708 | − | 0.0456839i | ||||
\(508\) | −22.9124 | − | 4.54794i | −1.01658 | − | 0.201782i | ||||
\(509\) | −32.7742 | −1.45269 | −0.726345 | − | 0.687330i | \(-0.758783\pi\) | ||||
−0.726345 | + | 0.687330i | \(0.758783\pi\) | |||||||
\(510\) | 3.68124 | + | 6.99868i | 0.163008 | + | 0.309907i | ||||
\(511\) | 13.9021i | 0.614994i | ||||||||
\(512\) | 2.25882 | + | 22.5144i | 0.0998268 | + | 0.995005i | ||||
\(513\) | −10.6988 | − | 16.0119i | −0.472364 | − | 0.706943i | ||||
\(514\) | −11.3714 | − | 3.44697i | −0.501571 | − | 0.152039i | ||||
\(515\) | −2.74105 | + | 13.7802i | −0.120785 | + | 0.607228i | ||||
\(516\) | 5.36688 | + | 12.9420i | 0.236264 | + | 0.569740i | ||||
\(517\) | 0.873745 | − | 0.173799i | 0.0384272 | − | 0.00764365i | ||||
\(518\) | −5.02810 | − | 50.9456i | −0.220922 | − | 2.23842i | ||||
\(519\) | 0.640187 | + | 0.265174i | 0.0281011 | + | 0.0116399i | ||||
\(520\) | −15.2296 | + | 1.50930i | −0.667860 | + | 0.0661873i | ||||
\(521\) | 18.0123 | + | 12.0354i | 0.789133 | + | 0.527282i | 0.883598 | − | 0.468246i | \(-0.155114\pi\) |
−0.0944646 | + | 0.995528i | \(0.530114\pi\) | |||||||
\(522\) | 14.6503 | − | 4.44736i | 0.641227 | − | 0.194656i | ||||
\(523\) | −7.97077 | − | 7.97077i | −0.348537 | − | 0.348537i | 0.511027 | − | 0.859565i | \(-0.329265\pi\) |
−0.859565 | + | 0.511027i | \(0.829265\pi\) | |||||||
\(524\) | 0.0154990 | + | 38.3517i | 0.000677077 | + | 1.67540i | ||||
\(525\) | 3.07261 | + | 7.41793i | 0.134100 | + | 0.323745i | ||||
\(526\) | −8.50760 | − | 15.9089i | −0.370949 | − | 0.693659i | ||||
\(527\) | 3.02879 | − | 14.6995i | 0.131936 | − | 0.640322i | ||||
\(528\) | −0.161711 | − | 0.389515i | −0.00703759 | − | 0.0169515i | ||||
\(529\) | −6.24755 | − | 15.0829i | −0.271633 | − | 0.655780i | ||||
\(530\) | 1.57987 | − | 2.95716i | 0.0686250 | − | 0.128451i | ||||
\(531\) | 22.5825 | − | 22.5825i | 0.979998 | − | 0.979998i | ||||
\(532\) | 26.7184 | − | 26.7400i | 1.15839 | − | 1.15933i | ||||
\(533\) | 28.3322 | + | 18.9310i | 1.22721 | + | 0.819992i | ||||
\(534\) | −1.12541 | + | 0.923980i | −0.0487012 | + | 0.0399845i | ||||
\(535\) | −1.75645 | + | 4.24044i | −0.0759378 | + | 0.183330i | ||||
\(536\) | −4.96054 | + | 9.29407i | −0.214263 | + | 0.401443i | ||||
\(537\) | 4.04888 | − | 0.805372i | 0.174722 | − | 0.0347544i | ||||
\(538\) | −12.8516 | − | 1.26315i | −0.554071 | − | 0.0544582i | ||||
\(539\) | −1.43972 | − | 0.286378i | −0.0620132 | − | 0.0123352i | ||||
\(540\) | −2.82341 | − | 14.1643i | −0.121500 | − | 0.609534i | ||||
\(541\) | −1.41516 | − | 2.11794i | −0.0608425 | − | 0.0910573i | 0.799801 | − | 0.600265i | \(-0.204938\pi\) |
−0.860643 | + | 0.509208i | \(0.829938\pi\) | |||||||
\(542\) | −11.2950 | + | 13.7687i | −0.485163 | + | 0.591416i | ||||
\(543\) | −3.70951 | −0.159190 | ||||||||
\(544\) | −20.6336 | + | 10.8744i | −0.884660 | + | 0.466236i | ||||
\(545\) | 23.3471 | 1.00008 | ||||||||
\(546\) | 10.3743 | − | 12.6463i | 0.443979 | − | 0.541213i | ||||
\(547\) | −5.58404 | − | 8.35711i | −0.238756 | − | 0.357324i | 0.692670 | − | 0.721255i | \(-0.256434\pi\) |
−0.931426 | + | 0.363931i | \(0.881434\pi\) | |||||||
\(548\) | 3.21027 | + | 16.1051i | 0.137136 | + | 0.687976i | ||||
\(549\) | 9.51046 | + | 1.89175i | 0.405896 | + | 0.0807378i | ||||
\(550\) | −0.411005 | − | 0.0403966i | −0.0175253 | − | 0.00172252i | ||||
\(551\) | 20.1022 | − | 3.99858i | 0.856384 | − | 0.170345i | ||||
\(552\) | 2.82702 | − | 5.29671i | 0.120326 | − | 0.225443i | ||||
\(553\) | −19.2000 | + | 46.3528i | −0.816466 | + | 1.97112i | ||||
\(554\) | 28.1359 | − | 23.1000i | 1.19538 | − | 0.981426i | ||||
\(555\) | −9.50577 | − | 6.35155i | −0.403497 | − | 0.269608i | ||||
\(556\) | 16.2331 | − | 16.2462i | 0.688436 | − | 0.688993i | ||||
\(557\) | −8.39351 | + | 8.39351i | −0.355644 | + | 0.355644i | −0.862205 | − | 0.506560i | \(-0.830917\pi\) |
0.506560 | + | 0.862205i | \(0.330917\pi\) | |||||||
\(558\) | −5.63960 | + | 10.5561i | −0.238743 | + | 0.446875i | ||||
\(559\) | −10.6959 | − | 25.8222i | −0.452389 | − | 1.09216i | ||||
\(560\) | 26.1836 | − | 10.8704i | 1.10646 | − | 0.459359i | ||||
\(561\) | 0.309499 | − | 0.305286i | 0.0130671 | − | 0.0128892i | ||||
\(562\) | 21.9036 | + | 40.9589i | 0.923948 | + | 1.72774i | ||||
\(563\) | −3.70762 | − | 8.95099i | −0.156258 | − | 0.377239i | 0.826291 | − | 0.563243i | \(-0.190446\pi\) |
−0.982549 | + | 0.186003i | \(0.940446\pi\) | |||||||
\(564\) | −0.00461038 | − | 11.4082i | −0.000194132 | − | 0.480372i | ||||
\(565\) | −9.02596 | − | 9.02596i | −0.379725 | − | 0.379725i | ||||
\(566\) | −25.5556 | + | 7.75784i | −1.07418 | + | 0.326087i | ||||
\(567\) | −12.0673 | − | 8.06312i | −0.506780 | − | 0.338619i | ||||
\(568\) | −2.56971 | + | 0.254667i | −0.107823 | + | 0.0106856i | ||||
\(569\) | 3.81051 | + | 1.57837i | 0.159745 | + | 0.0661685i | 0.461123 | − | 0.887336i | \(-0.347447\pi\) |
−0.301378 | + | 0.953505i | \(0.597447\pi\) | |||||||
\(570\) | −0.829129 | − | 8.40088i | −0.0347284 | − | 0.351874i | ||||
\(571\) | −15.3808 | + | 3.05943i | −0.643667 | + | 0.128033i | −0.506122 | − | 0.862462i | \(-0.668921\pi\) |
−0.137545 | + | 0.990495i | \(0.543921\pi\) | |||||||
\(572\) | 0.322283 | + | 0.777171i | 0.0134753 | + | 0.0324951i | ||||
\(573\) | −1.64131 | + | 8.25144i | −0.0685668 | + | 0.344709i | ||||
\(574\) | −60.4083 | − | 18.3113i | −2.52140 | − | 0.764301i | ||||
\(575\) | −3.26629 | − | 4.88834i | −0.136214 | − | 0.203858i | ||||
\(576\) | 18.2374 | − | 3.65063i | 0.759890 | − | 0.152110i | ||||
\(577\) | 14.5403i | 0.605319i | 0.953099 | + | 0.302660i | \(0.0978746\pi\) | ||||
−0.953099 | + | 0.302660i | \(0.902125\pi\) | |||||||
\(578\) | −18.3768 | − | 15.5014i | −0.764374 | − | 0.644774i | ||||
\(579\) | −9.44196 | −0.392394 | ||||||||
\(580\) | 15.0778 | + | 2.99283i | 0.626073 | + | 0.124271i | ||||
\(581\) | −18.3904 | + | 12.2881i | −0.762964 | + | 0.509796i | ||||
\(582\) | −9.83573 | − | 2.98147i | −0.407704 | − | 0.123586i | ||||
\(583\) | −0.180774 | − | 0.0359582i | −0.00748690 | − | 0.00148924i | ||||
\(584\) | −5.80487 | + | 7.08201i | −0.240207 | + | 0.293056i | ||||
\(585\) | 2.45416 | + | 12.3379i | 0.101467 | + | 0.510110i | ||||
\(586\) | −5.85161 | + | 0.577527i | −0.241728 | + | 0.0238574i | ||||
\(587\) | −9.18052 | + | 22.1637i | −0.378921 | + | 0.914795i | 0.613248 | + | 0.789890i | \(0.289863\pi\) |
−0.992169 | + | 0.124905i | \(0.960137\pi\) | |||||||
\(588\) | −7.18666 | + | 17.3700i | −0.296373 | + | 0.716326i | ||||
\(589\) | −8.90117 | + | 13.3215i | −0.366766 | + | 0.548904i | ||||
\(590\) | 30.6822 | − | 9.31412i | 1.26317 | − | 0.383456i | ||||
\(591\) | −9.72618 | + | 9.72618i | −0.400082 | + | 0.400082i | ||||
\(592\) | 18.7111 | − | 28.0522i | 0.769020 | − | 1.15294i | ||||
\(593\) | 12.4965 | − | 5.17620i | 0.513168 | − | 0.212561i | −0.111045 | − | 0.993815i | \(-0.535420\pi\) |
0.624213 | + | 0.781254i | \(0.285420\pi\) | |||||||
\(594\) | −0.700170 | + | 0.374431i | −0.0287283 | + | 0.0153631i | ||||
\(595\) | 20.5217 | + | 20.8049i | 0.841307 | + | 0.852918i | ||||
\(596\) | −37.4490 | − | 25.0007i | −1.53397 | − | 1.02407i | ||||
\(597\) | 5.08527 | − | 2.10639i | 0.208126 | − | 0.0862087i | ||||
\(598\) | −5.64387 | + | 10.5641i | −0.230795 | + | 0.431997i | ||||
\(599\) | 7.44471 | + | 7.44471i | 0.304183 | + | 0.304183i | 0.842648 | − | 0.538465i | \(-0.180996\pi\) |
−0.538465 | + | 0.842648i | \(0.680996\pi\) | |||||||
\(600\) | −1.53213 | + | 5.06181i | −0.0625491 | + | 0.206648i | ||||
\(601\) | 1.02713 | − | 1.53720i | 0.0418974 | − | 0.0627039i | −0.809930 | − | 0.586527i | \(-0.800495\pi\) |
0.851827 | + | 0.523823i | \(0.175495\pi\) | |||||||
\(602\) | 32.8545 | + | 40.0168i | 1.33905 | + | 1.63096i | ||||
\(603\) | 8.00035 | + | 3.31386i | 0.325800 | + | 0.134951i | ||||
\(604\) | 30.0423 | − | 20.0912i | 1.22240 | − | 0.817498i | ||||
\(605\) | 3.53677 | + | 17.7806i | 0.143790 | + | 0.722882i | ||||
\(606\) | 14.7560 | + | 1.45033i | 0.599423 | + | 0.0589157i | ||||
\(607\) | −7.66107 | + | 38.5148i | −0.310953 | + | 1.56327i | 0.436966 | + | 0.899478i | \(0.356053\pi\) |
−0.747919 | + | 0.663790i | \(0.768947\pi\) | |||||||
\(608\) | 24.7762 | − | 2.46552i | 1.00481 | − | 0.0999901i | ||||
\(609\) | −13.6607 | + | 9.12781i | −0.553561 | + | 0.369877i | ||||
\(610\) | 7.52707 | + | 6.17476i | 0.304762 | + | 0.250009i | ||||
\(611\) | 22.7581i | 0.920696i | ||||||||
\(612\) | 10.5481 | + | 16.0089i | 0.426383 | + | 0.647123i | ||||
\(613\) | 8.51336i | 0.343852i | 0.985110 | + | 0.171926i | \(0.0549989\pi\) | ||||
−0.985110 | + | 0.171926i | \(0.945001\pi\) | |||||||
\(614\) | 15.7703 | − | 19.2241i | 0.636437 | − | 0.775820i | ||||
\(615\) | −11.7209 | + | 7.83165i | −0.472632 | + | 0.315803i | ||||
\(616\) | −0.989473 | − | 1.20419i | −0.0398670 | − | 0.0485181i | ||||
\(617\) | −3.79851 | + | 19.0964i | −0.152922 | + | 0.768791i | 0.825858 | + | 0.563878i | \(0.190691\pi\) |
−0.978780 | + | 0.204913i | \(0.934309\pi\) | |||||||
\(618\) | 0.967527 | − | 9.84386i | 0.0389196 | − | 0.395978i | ||||
\(619\) | −3.33048 | − | 16.7435i | −0.133863 | − | 0.672977i | −0.988189 | − | 0.153239i | \(-0.951030\pi\) |
0.854326 | − | 0.519738i | \(-0.173970\pi\) | |||||||
\(620\) | −9.98841 | + | 6.67988i | −0.401144 | + | 0.268271i | ||||
\(621\) | −10.4428 | − | 4.32555i | −0.419055 | − | 0.173578i | ||||
\(622\) | 14.4564 | − | 11.8689i | 0.579648 | − | 0.475901i | ||||
\(623\) | −2.98955 | + | 4.47418i | −0.119774 | + | 0.179254i | ||||
\(624\) | 10.5654 | − | 2.11046i | 0.422953 | − | 0.0844861i | ||||
\(625\) | −5.97004 | − | 5.97004i | −0.238801 | − | 0.238801i | ||||
\(626\) | 39.6151 | + | 21.1644i | 1.58334 | + | 0.845901i | ||||
\(627\) | −0.428756 | + | 0.177596i | −0.0171228 | + | 0.00709252i | ||||
\(628\) | 7.01038 | − | 10.5010i | 0.279745 | − | 0.419034i | ||||
\(629\) | 34.0425 | + | 7.01433i | 1.35736 | + | 0.279680i | ||||
\(630\) | −10.9893 | − | 20.5495i | −0.437823 | − | 0.818712i | ||||
\(631\) | −6.51453 | + | 2.69841i | −0.259339 | + | 0.107422i | −0.508565 | − | 0.861024i | \(-0.669824\pi\) |
0.249226 | + | 0.968445i | \(0.419824\pi\) | |||||||
\(632\) | −29.1356 | + | 15.5960i | −1.15895 | + | 0.620376i | ||||
\(633\) | 12.5061 | − | 12.5061i | 0.497074 | − | 0.497074i | ||||
\(634\) | 7.65908 | + | 25.2302i | 0.304181 | + | 1.00202i | ||||
\(635\) | −10.7103 | + | 16.0291i | −0.425024 | + | 0.636094i | ||||
\(636\) | −0.902371 | + | 2.18101i | −0.0357814 | + | 0.0864827i | ||||
\(637\) | 14.3506 | − | 34.6454i | 0.568592 | − | 1.37270i | ||||
\(638\) | −0.0830016 | − | 0.840987i | −0.00328606 | − | 0.0332950i | ||||
\(639\) | 0.414095 | + | 2.08180i | 0.0163814 | + | 0.0823547i | ||||
\(640\) | 17.8774 | + | 5.39546i | 0.706667 | + | 0.213274i | ||||
\(641\) | 19.0576 | + | 3.79080i | 0.752730 | + | 0.149727i | 0.556520 | − | 0.830834i | \(-0.312136\pi\) |
0.196211 | + | 0.980562i | \(0.437136\pi\) | |||||||
\(642\) | 0.937350 | − | 3.09228i | 0.0369942 | − | 0.122042i | ||||
\(643\) | 39.0244 | − | 26.0753i | 1.53897 | − | 1.02831i | 0.559000 | − | 0.829168i | \(-0.311185\pi\) |
0.979971 | − | 0.199140i | \(-0.0638149\pi\) | |||||||
\(644\) | 4.31974 | − | 21.7628i | 0.170222 | − | 0.857574i | ||||
\(645\) | 11.5627 | 0.455280 | ||||||||
\(646\) | 11.9475 | + | 22.7144i | 0.470070 | + | 0.893685i | ||||
\(647\) | − | 6.68386i | − | 0.262770i | −0.991331 | − | 0.131385i | \(-0.958058\pi\) | ||
0.991331 | − | 0.131385i | \(-0.0419424\pi\) | |||||||
\(648\) | −2.78054 | − | 9.14625i | −0.109230 | − | 0.359299i | ||||
\(649\) | −0.979336 | − | 1.46568i | −0.0384423 | − | 0.0575330i | ||||
\(650\) | 3.06052 | − | 10.0965i | 0.120044 | − | 0.396019i | ||||
\(651\) | 2.50554 | − | 12.5962i | 0.0981997 | − | 0.493683i | ||||
\(652\) | −1.71708 | − | 4.14067i | −0.0672461 | − | 0.162161i | ||||
\(653\) | −35.9272 | + | 7.14636i | −1.40594 | + | 0.279659i | −0.839014 | − | 0.544110i | \(-0.816867\pi\) |
−0.566926 | + | 0.823769i | \(0.691867\pi\) | |||||||
\(654\) | −16.3569 | + | 1.61435i | −0.639605 | + | 0.0631261i | ||||
\(655\) | 29.2415 | + | 12.1122i | 1.14256 | + | 0.473263i | ||||
\(656\) | −23.1272 | − | 34.5518i | −0.902966 | − | 1.34902i | ||||
\(657\) | 6.25835 | + | 4.18169i | 0.244161 | + | 0.163143i | ||||
\(658\) | −12.2462 | − | 40.3409i | −0.477406 | − | 1.57265i | ||||
\(659\) | 7.78629 | + | 7.78629i | 0.303311 | + | 0.303311i | 0.842308 | − | 0.538997i | \(-0.181197\pi\) |
−0.538997 | + | 0.842308i | \(0.681197\pi\) | |||||||
\(660\) | −0.348060 | 0.000140661i | −0.0135482 | 5.47521e-6i | ||||||
\(661\) | −13.9674 | − | 33.7202i | −0.543267 | − | 1.31156i | −0.922405 | − | 0.386223i | \(-0.873780\pi\) |
0.379138 | − | 0.925340i | \(-0.376220\pi\) | |||||||
\(662\) | 38.8813 | − | 20.7926i | 1.51117 | − | 0.808128i | ||||
\(663\) | 6.10656 | + | 9.27611i | 0.237159 | + | 0.360254i | ||||
\(664\) | −14.4994 | − | 1.41919i | −0.562685 | − | 0.0550752i | ||||
\(665\) | −11.9382 | − | 28.8214i | −0.462945 | − | 1.11765i | ||||
\(666\) | −24.4467 | − | 13.0607i | −0.947291 | − | 0.506092i | ||||
\(667\) | 8.50668 | − | 8.50668i | 0.329380 | − | 0.329380i | ||||
\(668\) | −8.06117 | + | 8.06768i | −0.311896 | + | 0.312148i | ||||
\(669\) | −8.02850 | − | 5.36447i | −0.310400 | − | 0.207402i | ||||
\(670\) | 5.51697 | + | 6.71967i | 0.213139 | + | 0.259604i | ||||
\(671\) | 0.204820 | − | 0.494479i | 0.00790699 | − | 0.0190892i | ||||
\(672\) | −17.5925 | + | 9.42624i | −0.678644 | + | 0.363625i | ||||
\(673\) | 18.9914 | − | 3.77763i | 0.732066 | − | 0.145617i | 0.185038 | − | 0.982731i | \(-0.440759\pi\) |
0.547028 | + | 0.837114i | \(0.315759\pi\) | |||||||
\(674\) | −1.97536 | + | 20.0978i | −0.0760882 | + | 0.774140i | ||||
\(675\) | 9.76521 | + | 1.94242i | 0.375863 | + | 0.0747638i | ||||
\(676\) | 4.41989 | − | 0.881028i | 0.169996 | − | 0.0338857i | ||||
\(677\) | −8.13684 | − | 12.1776i | −0.312724 | − | 0.468025i | 0.641497 | − | 0.767125i | \(-0.278313\pi\) |
−0.954222 | + | 0.299100i | \(0.903313\pi\) | |||||||
\(678\) | 6.94764 | + | 5.69943i | 0.266823 | + | 0.218885i | ||||
\(679\) | −37.9809 | −1.45757 | ||||||||
\(680\) | 1.76699 | + | 19.1673i | 0.0677611 | + | 0.735033i | ||||
\(681\) | −2.29375 | −0.0878968 | ||||||||
\(682\) | 0.510727 | + | 0.418970i | 0.0195568 | + | 0.0160432i | ||||
\(683\) | 8.74789 | + | 13.0921i | 0.334729 | + | 0.500957i | 0.960209 | − | 0.279283i | \(-0.0900968\pi\) |
−0.625480 | + | 0.780240i | \(0.715097\pi\) | |||||||
\(684\) | −4.00083 | − | 20.0711i | −0.152976 | − | 0.767439i | ||||
\(685\) | 13.2922 | + | 2.64399i | 0.507870 | + | 0.101022i | ||||
\(686\) | −2.63694 | + | 26.8289i | −0.100679 | + | 1.02433i | ||||
\(687\) | 23.9682 | − | 4.76757i | 0.914443 | − | 0.181894i | ||||
\(688\) | 0.0275646 | + | 34.1038i | 0.00105089 | + | 1.30020i | ||||
\(689\) | 1.80189 | − | 4.35015i | 0.0686466 | − | 0.165728i | ||||
\(690\) | −3.14413 | − | 3.82955i | −0.119695 | − | 0.145789i | ||||
\(691\) | 5.11972 | + | 3.42089i | 0.194763 | + | 0.130137i | 0.649128 | − | 0.760679i | \(-0.275134\pi\) |
−0.454365 | + | 0.890816i | \(0.650134\pi\) | |||||||
\(692\) | 1.19315 | + | 1.19219i | 0.0453569 | + | 0.0453202i | ||||
\(693\) | −0.905874 | + | 0.905874i | −0.0344113 | + | 0.0344113i | ||||
\(694\) | −22.7851 | − | 12.1730i | −0.864912 | − | 0.462080i | ||||
\(695\) | −7.25321 | − | 17.5108i | −0.275130 | − | 0.664223i | ||||
\(696\) | −10.7704 | − | 1.05420i | −0.408250 | − | 0.0399593i | ||||
\(697\) | 24.0538 | − | 35.4705i | 0.911104 | − | 1.34354i | ||||
\(698\) | 25.0167 | − | 13.3782i | 0.946894 | − | 0.506372i | ||||
\(699\) | 2.03679 | + | 4.91725i | 0.0770385 | + | 0.185987i | ||||
\(700\) | 0.00789825 | + | 19.5439i | 0.000298526 | + | 0.738691i | ||||
\(701\) | 3.72512 | + | 3.72512i | 0.140696 | + | 0.140696i | 0.773947 | − | 0.633251i | \(-0.218280\pi\) |
−0.633251 | + | 0.773947i | \(0.718280\pi\) | |||||||
\(702\) | −5.89197 | − | 19.4091i | −0.222378 | − | 0.732549i | ||||
\(703\) | −30.8512 | − | 20.6141i | −1.16357 | − | 0.777476i | ||||
\(704\) | −0.00124463 | − | 1.02659i | −4.69086e−5 | − | 0.0386912i | ||||
\(705\) | −8.69826 | − | 3.60294i | −0.327595 | − | 0.135694i | ||||
\(706\) | −9.25868 | + | 0.913789i | −0.348455 | + | 0.0343909i | ||||
\(707\) | 53.7405 | − | 10.6896i | 2.02112 | − | 0.402025i | ||||
\(708\) | −20.8518 | + | 8.64695i | −0.783657 | + | 0.324972i | ||||
\(709\) | 2.64917 | − | 13.3183i | 0.0994916 | − | 0.500178i | −0.898619 | − | 0.438731i | \(-0.855428\pi\) |
0.998110 | − | 0.0614477i | \(-0.0195717\pi\) | |||||||
\(710\) | −0.618216 | + | 2.03947i | −0.0232012 | + | 0.0765399i | ||||
\(711\) | 15.0915 | + | 22.5860i | 0.565975 | + | 0.847041i | ||||
\(712\) | −3.39114 | + | 1.03094i | −0.127089 | + | 0.0386360i | ||||
\(713\) | 9.40400i | 0.352183i | ||||||||
\(714\) | −15.8159 | − | 13.1568i | −0.591897 | − | 0.492381i | ||||
\(715\) | 0.694341 | 0.0259669 | ||||||||
\(716\) | 9.85629 | + | 1.95640i | 0.368347 | + | 0.0731140i | ||||
\(717\) | 8.73464 | − | 5.83630i | 0.326201 | − | 0.217961i | ||||
\(718\) | −7.94899 | + | 26.2234i | −0.296654 | + | 0.978648i | ||||
\(719\) | 1.34159 | + | 0.266860i | 0.0500330 | + | 0.00995218i | 0.220043 | − | 0.975490i | \(-0.429380\pi\) |
−0.170010 | + | 0.985442i | \(0.554380\pi\) | |||||||
\(720\) | 2.98236 | − | 15.0569i | 0.111146 | − | 0.561138i | ||||
\(721\) | −7.13114 | − | 35.8507i | −0.265578 | − | 1.33515i | ||||
\(722\) | −0.0518280 | − | 0.525131i | −0.00192884 | − | 0.0195433i | ||||
\(723\) | 0.902813 | − | 2.17958i | 0.0335760 | − | 0.0810596i | ||||
\(724\) | −8.34351 | − | 3.45205i | −0.310084 | − | 0.128294i | ||||
\(725\) | −5.88736 | + | 8.81105i | −0.218651 | + | 0.327234i | ||||
\(726\) | −3.70729 | − | 12.2124i | −0.137590 | − | 0.453245i | ||||
\(727\) | −24.5142 | + | 24.5142i | −0.909180 | + | 0.909180i | −0.996206 | − | 0.0870256i | \(-0.972264\pi\) |
0.0870256 | + | 0.996206i | \(0.472264\pi\) | |||||||
\(728\) | 35.1027 | − | 18.7901i | 1.30099 | − | 0.696409i | ||||
\(729\) | 2.70408 | − | 1.12007i | 0.100151 | − | 0.0414840i | ||||
\(730\) | 3.56373 | + | 6.66404i | 0.131900 | + | 0.246647i | ||||
\(731\) | −32.5690 | + | 13.2298i | −1.20461 | + | 0.489320i | ||||
\(732\) | −5.70038 | − | 3.80554i | −0.210692 | − | 0.140657i | ||||
\(733\) | −11.7341 | + | 4.86043i | −0.433409 | + | 0.179524i | −0.588712 | − | 0.808343i | \(-0.700365\pi\) |
0.155303 | + | 0.987867i | \(0.450365\pi\) | |||||||
\(734\) | 3.56983 | + | 1.90719i | 0.131765 | + | 0.0703956i | ||||
\(735\) | 10.9697 | + | 10.9697i | 0.404624 | + | 0.404624i | ||||
\(736\) | 11.2877 | − | 9.28266i | 0.416069 | − | 0.342163i | ||||
\(737\) | 0.265545 | − | 0.397416i | 0.00978148 | − | 0.0146390i | ||||
\(738\) | −26.4138 | + | 21.6862i | −0.972306 | + | 0.798279i | ||||
\(739\) | −17.2497 | − | 7.14505i | −0.634540 | − | 0.262835i | 0.0421407 | − | 0.999112i | \(-0.486582\pi\) |
−0.676681 | + | 0.736277i | \(0.736582\pi\) | |||||||
\(740\) | −15.4699 | − | 23.1320i | −0.568683 | − | 0.850351i | ||||
\(741\) | −2.31290 | − | 11.6277i | −0.0849664 | − | 0.427155i | ||||
\(742\) | −0.853198 | + | 8.68065i | −0.0313219 | + | 0.318677i | ||||
\(743\) | −1.83763 | + | 9.23837i | −0.0674159 | + | 0.338923i | −0.999742 | − | 0.0226948i | \(-0.992775\pi\) |
0.932326 | + | 0.361618i | \(0.117775\pi\) | |||||||
\(744\) | 6.53594 | − | 5.37054i | 0.239619 | − | 0.196894i | ||||
\(745\) | −30.8974 | + | 20.6450i | −1.13199 | + | 0.756373i | ||||
\(746\) | −16.4445 | + | 20.0460i | −0.602076 | + | 0.733934i | ||||
\(747\) | 11.9751i | 0.438145i | ||||||||
\(748\) | 0.980230 | − | 0.398638i | 0.0358408 | − | 0.0145757i | ||||
\(749\) | − | 11.9409i | − | 0.436311i | ||||||
\(750\) | 10.7885 | + | 8.85024i | 0.393940 | + | 0.323165i | ||||
\(751\) | 39.0008 | − | 26.0595i | 1.42316 | − | 0.950925i | 0.424189 | − | 0.905574i | \(-0.360559\pi\) |
0.998971 | − | 0.0453512i | \(-0.0144407\pi\) | |||||||
\(752\) | 10.6060 | − | 25.6639i | 0.386762 | − | 0.935866i | ||||
\(753\) | −1.10233 | + | 5.54177i | −0.0401710 | + | 0.201953i | ||||
\(754\) | 21.4849 | + | 2.11169i | 0.782433 | + | 0.0769033i | ||||
\(755\) | −5.81887 | − | 29.2534i | −0.211770 | − | 1.06464i | ||||
\(756\) | 20.8881 | + | 31.2339i | 0.759694 | + | 1.13597i | ||||
\(757\) | −7.19106 | − | 2.97863i | −0.261363 | − | 0.108260i | 0.248154 | − | 0.968721i | \(-0.420176\pi\) |
−0.509517 | + | 0.860460i | \(0.670176\pi\) | |||||||
\(758\) | 31.8457 | + | 38.7881i | 1.15669 | + | 1.40885i | ||||
\(759\) | −0.151335 | + | 0.226488i | −0.00549310 | + | 0.00822100i | ||||
\(760\) | 5.95291 | − | 19.6670i | 0.215935 | − | 0.713398i | ||||
\(761\) | −6.55025 | − | 6.55025i | −0.237446 | − | 0.237446i | 0.578346 | − | 0.815792i | \(-0.303699\pi\) |
−0.815792 | + | 0.578346i | \(0.803699\pi\) | |||||||
\(762\) | 6.39522 | − | 11.9704i | 0.231674 | − | 0.433643i | ||||
\(763\) | −56.1165 | + | 23.2442i | −2.03156 | + | 0.841498i | ||||
\(764\) | −11.3704 | + | 17.0319i | −0.411367 | + | 0.616193i | ||||
\(765\) | 15.5386 | − | 2.98027i | 0.561800 | − | 0.107752i | ||||
\(766\) | 17.8978 | − | 9.57124i | 0.646675 | − | 0.345823i | ||||
\(767\) | 41.6040 | − | 17.2329i | 1.50223 | − | 0.622245i | ||||
\(768\) | −12.8979 | − | 2.54388i | −0.465413 | − | 0.0917945i | ||||
\(769\) | −16.3062 | + | 16.3062i | −0.588016 | + | 0.588016i | −0.937094 | − | 0.349078i | \(-0.886495\pi\) |
0.349078 | + | 0.937094i | \(0.386495\pi\) | |||||||
\(770\) | −1.23079 | + | 0.373626i | −0.0443544 | + | 0.0134646i | ||||
\(771\) | 3.83541 | − | 5.74010i | 0.138129 | − | 0.206725i | ||||
\(772\) | −21.2371 | − | 8.78662i | −0.764338 | − | 0.316237i | ||||
\(773\) | −5.81873 | + | 14.0477i | −0.209285 | + | 0.505259i | −0.993311 | − | 0.115469i | \(-0.963163\pi\) |
0.784026 | + | 0.620728i | \(0.213163\pi\) | |||||||
\(774\) | 27.8969 | − | 2.75330i | 1.00273 | − | 0.0989653i | ||||
\(775\) | −1.61605 | − | 8.12442i | −0.0580502 | − | 0.291838i | ||||
\(776\) | −19.3482 | − | 15.8590i | −0.694560 | − | 0.569307i | ||||
\(777\) | 29.1713 | + | 5.80254i | 1.04652 | + | 0.208165i | ||||
\(778\) | 45.5157 | + | 13.7970i | 1.63182 | + | 0.494646i | ||||
\(779\) | −38.0404 | + | 25.4178i | −1.36294 | + | 0.910688i | ||||
\(780\) | 1.73114 | − | 8.72146i | 0.0619848 | − | 0.312278i | ||||
\(781\) | 0.117158 | 0.00419223 | ||||||||
\(782\) | 13.2379 | + | 7.18938i | 0.473385 | + | 0.257092i | ||||
\(783\) | 20.3736i | 0.728093i | ||||||||
\(784\) | −32.3288 | + | 32.3811i | −1.15460 | + | 1.15647i | ||||
\(785\) | −5.78900 | − | 8.66386i | −0.206618 | − | 0.309226i | ||||
\(786\) | −21.3239 | − | 6.46383i | −0.760599 | − | 0.230557i | ||||
\(787\) | 1.24633 | − | 6.26575i | 0.0444270 | − | 0.223350i | −0.952193 | − | 0.305496i | \(-0.901178\pi\) |
0.996620 | + | 0.0821467i | \(0.0261776\pi\) | |||||||
\(788\) | −30.9274 | + | 12.8252i | −1.10174 | + | 0.456879i | ||||
\(789\) | 10.2802 | − | 2.04486i | 0.365984 | − | 0.0727988i | ||||
\(790\) | 2.67871 | + | 27.1412i | 0.0953043 | + | 0.965641i | ||||
\(791\) | 30.6807 | + | 12.7084i | 1.09088 | + | 0.451858i | ||||
\(792\) | −0.839720 | + | 0.0832192i | −0.0298382 | + | 0.00295707i | ||||
\(793\) | 11.3686 | + | 7.59623i | 0.403710 | + | 0.269750i | ||||
\(794\) | −23.3092 | + | 7.07590i | −0.827211 | + | 0.251114i | ||||
\(795\) | 1.37738 | + | 1.37738i | 0.0488506 | + | 0.0488506i | ||||
\(796\) | 13.3981 | − | 0.00541454i | 0.474882 | − | 0.000191913i | ||||
\(797\) | 0.792947 | + | 1.91434i | 0.0280876 | + | 0.0678095i | 0.937301 | − | 0.348521i | \(-0.113316\pi\) |
−0.909213 | + | 0.416330i | \(0.863316\pi\) | |||||||
\(798\) | 10.3567 | + | 19.3667i | 0.366624 | + | 0.685572i | ||||
\(799\) | 28.6231 | + | 0.196155i | 1.01261 | + | 0.00693946i | ||||
\(800\) | −8.15660 | + | 9.95934i | −0.288379 | + | 0.352116i | ||||
\(801\) | 1.11491 | + | 2.69163i | 0.0393934 | + | 0.0951040i | ||||
\(802\) | 10.1364 | − | 18.9730i | 0.357928 | − | 0.669961i | ||||
\(803\) | 0.293768 | − | 0.293768i | 0.0103668 | − | 0.0103668i | ||||
\(804\) | −4.32979 | − | 4.32629i | −0.152700 | − | 0.152577i | ||||
\(805\) | −15.2248 | − | 10.1729i | −0.536603 | − | 0.358547i | ||||
\(806\) | −13.0428 | + | 10.7084i | −0.459414 | + | 0.377186i | ||||
\(807\) | 2.87114 | − | 6.93156i | 0.101069 | − | 0.244002i | ||||
\(808\) | 31.8399 | + | 16.9940i | 1.12012 | + | 0.597846i | ||||
\(809\) | −2.74562 | + | 0.546138i | −0.0965310 | + | 0.0192012i | −0.243119 | − | 0.969996i | \(-0.578171\pi\) |
0.146588 | + | 0.989198i | \(0.453171\pi\) | |||||||
\(810\) | −7.85145 | − | 0.771699i | −0.275872 | − | 0.0271147i | ||||
\(811\) | −29.0513 | − | 5.77867i | −1.02013 | − | 0.202917i | −0.343433 | − | 0.939177i | \(-0.611590\pi\) |
−0.676698 | + | 0.736261i | \(0.736590\pi\) | |||||||
\(812\) | −39.2203 | + | 7.81788i | −1.37636 | + | 0.274354i | ||||
\(813\) | −5.74838 | − | 8.60306i | −0.201604 | − | 0.301722i | ||||
\(814\) | −0.970289 | + | 1.18279i | −0.0340086 | + | 0.0414567i | ||||
\(815\) | −3.69936 | −0.129583 | ||||||||
\(816\) | −2.56328 | − | 13.3063i | −0.0897327 | − | 0.465815i | ||||
\(817\) | 37.5269 | 1.31290 | ||||||||
\(818\) | −16.8151 | + | 20.4977i | −0.587925 | + | 0.716684i | ||||
\(819\) | −18.1823 | − | 27.2117i | −0.635340 | − | 0.950854i | ||||
\(820\) | −33.6510 | + | 6.70773i | −1.17514 | + | 0.234244i | ||||
\(821\) | −14.8916 | − | 2.96213i | −0.519722 | − | 0.103379i | −0.0717428 | − | 0.997423i | \(-0.522856\pi\) |
−0.447979 | + | 0.894044i | \(0.647856\pi\) | |||||||
\(822\) | −9.49528 | − | 0.933266i | −0.331186 | − | 0.0325514i | ||||
\(823\) | 48.5611 | − | 9.65941i | 1.69274 | − | 0.336706i | 0.747790 | − | 0.663935i | \(-0.231115\pi\) |
0.944945 | + | 0.327229i | \(0.106115\pi\) | |||||||
\(824\) | 11.3368 | − | 21.2406i | 0.394937 | − | 0.739953i | ||||
\(825\) | 0.0918216 | − | 0.221677i | 0.00319682 | − | 0.00771780i | ||||
\(826\) | −64.4738 | + | 52.9341i | −2.24333 | + | 1.84181i | ||||
\(827\) | −22.3231 | − | 14.9158i | −0.776252 | − | 0.518675i | 0.103201 | − | 0.994660i | \(-0.467091\pi\) |
−0.879453 | + | 0.475986i | \(0.842091\pi\) | |||||||
\(828\) | −8.49764 | − | 8.49077i | −0.295313 | − | 0.295075i | ||||
\(829\) | 5.46751 | − | 5.46751i | 0.189894 | − | 0.189894i | −0.605756 | − | 0.795650i | \(-0.707129\pi\) |
0.795650 | + | 0.605756i | \(0.207129\pi\) | |||||||
\(830\) | −5.66554 | + | 10.6046i | −0.196654 | + | 0.368092i | ||||
\(831\) | 8.09389 | + | 19.5404i | 0.280774 | + | 0.677849i | ||||
\(832\) | 25.7278 | + | 5.08517i | 0.891953 | + | 0.176296i | ||||
\(833\) | −43.4501 | − | 18.3475i | −1.50546 | − | 0.635702i | ||||
\(834\) | 6.29235 | + | 11.7664i | 0.217886 | + | 0.407439i | ||||
\(835\) | 3.60186 | + | 8.69567i | 0.124648 | + | 0.300926i | ||||
\(836\) | −1.12964 | 0.000456518i | −0.0390693 | 1.57890e-5i | ||||||
\(837\) | −11.2613 | − | 11.2613i | −0.389249 | − | 0.389249i | ||||
\(838\) | 16.6112 | − | 5.04263i | 0.573825 | − | 0.174195i | ||||
\(839\) | 21.4706 | + | 14.3462i | 0.741247 | + | 0.495285i | 0.867948 | − | 0.496656i | \(-0.165439\pi\) |
−0.126701 | + | 0.991941i | \(0.540439\pi\) | |||||||
\(840\) | 1.62442 | + | 16.3911i | 0.0560478 | + | 0.565548i | ||||
\(841\) | 6.75902 | + | 2.79968i | 0.233070 | + | 0.0965406i | ||||
\(842\) | 3.76435 | + | 38.1410i | 0.129728 | + | 1.31443i | ||||
\(843\) | −26.4673 | + | 5.26467i | −0.911582 | + | 0.181325i | ||||
\(844\) | 39.7671 | − | 16.4909i | 1.36884 | − | 0.567641i | ||||
\(845\) | 0.725617 | − | 3.64792i | 0.0249620 | − | 0.125492i | ||||
\(846\) | −21.8440 | − | 6.62148i | −0.751011 | − | 0.227651i | ||||
\(847\) | −26.2031 | − | 39.2157i | −0.900348 | − | 1.34747i | ||||
\(848\) | −4.05927 | + | 4.06583i | −0.139396 | + | 0.139621i | ||||
\(849\) | − | 15.5167i | − | 0.532531i | ||||||
\(850\) | −12.6721 | − | 3.93626i | −0.434649 | − | 0.135013i | ||||
\(851\) | −21.7786 | −0.746561 | ||||||||
\(852\) | 0.292099 | − | 1.47159i | 0.0100071 | − | 0.0504158i | ||||
\(853\) | 8.10721 | − | 5.41706i | 0.277585 | − | 0.185477i | −0.408983 | − | 0.912542i | \(-0.634116\pi\) |
0.686568 | + | 0.727065i | \(0.259116\pi\) | |||||||
\(854\) | −24.2394 | − | 7.34759i | −0.829455 | − | 0.251429i | ||||
\(855\) | −16.5656 | − | 3.29510i | −0.566530 | − | 0.112690i | ||||
\(856\) | 4.98596 | − | 6.08292i | 0.170417 | − | 0.207910i | ||||
\(857\) | 2.51232 | + | 12.6303i | 0.0858192 | + | 0.431442i | 0.999677 | + | 0.0254083i | \(0.00808857\pi\) |
−0.913858 | + | 0.406034i | \(0.866911\pi\) | |||||||
\(858\) | −0.486452 | + | 0.0480106i | −0.0166072 | + | 0.00163905i | ||||
\(859\) | 8.15299 | − | 19.6831i | 0.278177 | − | 0.671578i | −0.721609 | − | 0.692301i | \(-0.756597\pi\) |
0.999785 | + | 0.0207235i | \(0.00659697\pi\) | |||||||
\(860\) | 26.0070 | + | 10.7601i | 0.886832 | + | 0.366918i | ||||
\(861\) | 20.3749 | − | 30.4932i | 0.694374 | − | 1.03920i | ||||
\(862\) | −29.9563 | + | 9.09376i | −1.02032 | + | 0.309735i | ||||
\(863\) | 22.6525 | − | 22.6525i | 0.771101 | − | 0.771101i | −0.207198 | − | 0.978299i | \(-0.566434\pi\) |
0.978299 | + | 0.207198i | \(0.0664344\pi\) | |||||||
\(864\) | −2.40102 | + | 24.6331i | −0.0816843 | + | 0.838034i | ||||
\(865\) | 1.28603 | − | 0.532690i | 0.0437263 | − | 0.0181120i | ||||
\(866\) | 39.1105 | − | 20.9151i | 1.32903 | − | 0.710725i | ||||
\(867\) | 11.7192 | − | 7.60031i | 0.398007 | − | 0.258120i | ||||
\(868\) | 17.3574 | − | 26.0000i | 0.589149 | − | 0.882496i | ||||
\(869\) | 1.38520 | − | 0.573770i | 0.0469898 | − | 0.0194638i | ||||
\(870\) | −4.20846 | + | 7.87730i | −0.142680 | + | 0.267066i | ||||
\(871\) | 8.63397 | + | 8.63397i | 0.292551 | + | 0.292551i | ||||
\(872\) | −38.2925 | − | 11.5906i | −1.29675 | − | 0.392506i | ||||
\(873\) | −11.4245 | + | 17.0980i | −0.386660 | + | 0.578678i | ||||
\(874\) | −10.2043 | − | 12.4289i | −0.345167 | − | 0.420414i | ||||
\(875\) | 47.6419 | + | 19.7339i | 1.61059 | + | 0.667128i | ||||
\(876\) | −2.95752 | − | 4.42237i | −0.0999253 | − | 0.149418i | ||||
\(877\) | 4.17129 | + | 20.9705i | 0.140855 | + | 0.708124i | 0.985075 | + | 0.172127i | \(0.0550640\pi\) |
−0.844220 | + | 0.535996i | \(0.819936\pi\) | |||||||
\(878\) | −7.75843 | − | 0.762556i | −0.261834 | − | 0.0257350i | ||||
\(879\) | 0.666479 | − | 3.35062i | 0.0224798 | − | 0.113014i | ||||
\(880\) | −0.782994 | − | 0.323586i | −0.0263947 | − | 0.0109081i | ||||
\(881\) | 18.4972 | − | 12.3594i | 0.623187 | − | 0.416400i | −0.203490 | − | 0.979077i | \(-0.565228\pi\) |
0.826677 | + | 0.562677i | \(0.190228\pi\) | |||||||
\(882\) | 29.0784 | + | 23.8542i | 0.979122 | + | 0.803214i | ||||
\(883\) | 13.4575i | 0.452881i | 0.974025 | + | 0.226440i | \(0.0727088\pi\) | ||||
−0.974025 | + | 0.226440i | \(0.927291\pi\) | |||||||
\(884\) | 5.10273 | + | 26.5467i | 0.171623 | + | 0.892864i | ||||
\(885\) | 18.6294i | 0.626221i | ||||||||
\(886\) | −7.14363 | + | 8.70812i | −0.239995 | + | 0.292555i | ||||
\(887\) | 9.75945 | − | 6.52106i | 0.327690 | − | 0.218956i | −0.380832 | − | 0.924644i | \(-0.624362\pi\) |
0.708522 | + | 0.705689i | \(0.249362\pi\) | |||||||
\(888\) | 12.4376 | + | 15.1365i | 0.417378 | + | 0.507948i | ||||
\(889\) | 9.78451 | − | 49.1901i | 0.328162 | − | 1.64978i | ||||
\(890\) | −0.286122 | + | 2.91107i | −0.00959082 | + | 0.0975794i | ||||
\(891\) | 0.0846131 | + | 0.425379i | 0.00283465 | + | 0.0142507i | ||||
\(892\) | −13.0657 | − | 19.5371i | −0.437473 | − | 0.654152i | ||||
\(893\) | −28.2304 | − | 11.6934i | −0.944694 | − | 0.391305i | ||||
\(894\) | 20.2190 | − | 16.6002i | 0.676225 | − | 0.555193i | ||||
\(895\) | 4.60726 | − | 6.89526i | 0.154004 | − | 0.230483i | ||||
\(896\) | −48.3413 | + | 4.83026i | −1.61497 | + | 0.161368i | ||||
\(897\) | −4.92051 | − | 4.92051i | −0.164291 | − | 0.164291i | ||||
\(898\) | −7.29429 | − | 3.89698i | −0.243413 | − | 0.130044i | ||||
\(899\) | 15.6601 | − | 6.48662i | 0.522293 | − | 0.216341i | ||||
\(900\) | 8.80050 | + | 5.87517i | 0.293350 | + | 0.195839i | ||||
\(901\) | −5.45568 | − | 2.30374i | −0.181755 | − | 0.0767488i | ||||
\(902\) | 0.889557 | + | 1.66344i | 0.0296190 | + | 0.0553863i | ||||
\(903\) | −27.7917 | + | 11.5117i | −0.924850 | + | 0.383086i | ||||
\(904\) | 10.3229 | + | 19.2847i | 0.343335 | + | 0.641400i | ||||
\(905\) | −5.26920 | + | 5.26920i | −0.175154 | + | 0.175154i | ||||
\(906\) | 6.09941 | + | 20.0924i | 0.202639 | + | 0.667527i | ||||
\(907\) | 0.826092 | − | 1.23633i | 0.0274299 | − | 0.0410518i | −0.817501 | − | 0.575927i | \(-0.804641\pi\) |
0.844931 | + | 0.534875i | \(0.179641\pi\) | |||||||
\(908\) | −5.15916 | − | 2.13455i | −0.171213 | − | 0.0708376i | ||||
\(909\) | 11.3527 | − | 27.4079i | 0.376545 | − | 0.909061i | ||||
\(910\) | −3.22732 | − | 32.6998i | −0.106985 | − | 1.08399i | ||||
\(911\) | 7.64631 | + | 38.4406i | 0.253334 | + | 1.27359i | 0.872609 | + | 0.488420i | \(0.162427\pi\) |
−0.619275 | + | 0.785174i | \(0.712573\pi\) | |||||||
\(912\) | −2.81069 | + | 14.1902i | −0.0930713 | + | 0.469885i | ||||
\(913\) | 0.648272 | + | 0.128949i | 0.0214547 | + | 0.00426760i | ||||
\(914\) | 4.22518 | − | 13.9387i | 0.139756 | − | 0.461051i | ||||
\(915\) | −4.70311 | + | 3.14252i | −0.155480 | + | 0.103889i | ||||
\(916\) | 58.3464 | + | 11.5813i | 1.92782 | + | 0.382657i | ||||
\(917\) | −82.3428 | −2.71920 | ||||||||
\(918\) | −24.4617 | + | 7.24307i | −0.807357 | + | 0.239057i | ||||
\(919\) | 34.1022i | 1.12493i | 0.826821 | + | 0.562465i | \(0.190147\pi\) | ||||
−0.826821 | + | 0.562465i | \(0.809853\pi\) | |||||||
\(920\) | −3.50808 | − | 11.5394i | −0.115658 | − | 0.380443i | ||||
\(921\) | 8.02597 | + | 12.0117i | 0.264465 | + | 0.395800i | ||||
\(922\) | 3.33635 | − | 11.0065i | 0.109877 | − | 0.362479i | ||||
\(923\) | −0.583892 | + | 2.93542i | −0.0192190 | + | 0.0966206i | ||||
\(924\) | 0.836446 | − | 0.346864i | 0.0275171 | − | 0.0114110i | ||||
\(925\) | 18.8153 | − | 3.74259i | 0.618642 | − | 0.123056i | ||||
\(926\) | 51.7878 | − | 5.11122i | 1.70185 | − | 0.167965i | ||||
\(927\) | −18.2840 | − | 7.57347i | −0.600525 | − | 0.248746i | ||||
\(928\) | −23.2439 | − | 12.3940i | −0.763020 | − | 0.406852i | ||||
\(929\) | −39.0848 | − | 26.1156i | −1.28233 | − | 0.856826i | −0.287441 | − | 0.957798i | \(-0.592805\pi\) |
−0.994889 | + | 0.100972i | \(0.967805\pi\) | |||||||
\(930\) | −2.02792 | − | 6.68031i | −0.0664982 | − | 0.219056i | ||||
\(931\) | 35.6025 | + | 35.6025i | 1.16682 | + | 1.16682i | ||||
\(932\) | 0.00523564 | + | 12.9554i | 0.000171499 | + | 0.424368i | ||||
\(933\) | 4.15869 | + | 10.0400i | 0.136149 | + | 0.328694i | ||||
\(934\) | −0.756686 | + | 0.404654i | −0.0247595 | + | 0.0132407i | ||||
\(935\) | 0.00598460 | − | 0.873277i | 0.000195717 | − | 0.0285592i | ||||
\(936\) | 2.09993 | − | 21.4542i | 0.0686382 | − | 0.701253i | ||||
\(937\) | −5.85996 | − | 14.1472i | −0.191437 | − | 0.462169i | 0.798795 | − | 0.601604i | \(-0.205471\pi\) |
−0.990231 | + | 0.139435i | \(0.955471\pi\) | |||||||
\(938\) | −19.9505 | − | 10.6586i | −0.651406 | − | 0.348015i | ||||
\(939\) | −18.4519 | + | 18.4519i | −0.602154 | + | 0.602154i | ||||
\(940\) | −16.2114 | − | 16.1983i | −0.528759 | − | 0.528332i | ||||
\(941\) | −4.36730 | − | 2.91814i | −0.142370 | − | 0.0951286i | 0.482345 | − | 0.875981i | \(-0.339785\pi\) |
−0.624715 | + | 0.780852i | \(0.714785\pi\) | |||||||
\(942\) | 4.65481 | + | 5.66957i | 0.151662 | + | 0.184724i | ||||
\(943\) | −10.2765 | + | 24.8096i | −0.334648 | + | 0.807911i | ||||
\(944\) | −54.9470 | + | 0.0444113i | −1.78837 | + | 0.00144546i | ||||
\(945\) | 30.4138 | − | 6.04969i | 0.989362 | − | 0.196796i | ||||
\(946\) | 0.151348 | − | 1.53985i | 0.00492075 | − | 0.0500649i | ||||
\(947\) | 40.3489 | + | 8.02589i | 1.31116 | + | 0.260806i | 0.800685 | − | 0.599085i | \(-0.204469\pi\) |
0.510477 | + | 0.859892i | \(0.329469\pi\) | |||||||
\(948\) | −3.75338 | − | 18.8298i | −0.121904 | − | 0.611562i | ||||
\(949\) | 5.89636 | + | 8.82453i | 0.191404 | + | 0.286456i | ||||
\(950\) | 10.9517 | + | 8.98415i | 0.355321 | + | 0.291484i | ||||
\(951\) | −15.3191 | −0.496757 | ||||||||
\(952\) | −23.3299 | − | 44.3108i | −0.756127 | − | 1.43612i | ||||
\(953\) | −39.1075 | −1.26682 | −0.633408 | − | 0.773818i | \(-0.718345\pi\) | ||||
−0.633408 | + | 0.773818i | \(0.718345\pi\) | |||||||
\(954\) | 3.65115 | + | 2.99518i | 0.118210 | + | 0.0969727i | ||||
\(955\) | 9.38941 | + | 14.0522i | 0.303834 | + | 0.454720i | ||||
\(956\) | 25.0774 | − | 4.99873i | 0.811060 | − | 0.161671i | ||||
\(957\) | 0.481547 | + | 0.0957857i | 0.0155662 | + | 0.00309631i | ||||
\(958\) | 4.46870 | − | 45.4656i | 0.144377 | − | 1.46893i | ||||
\(959\) | −34.5812 | + | 6.87862i | −1.11668 | + | 0.222122i | ||||
\(960\) | −6.01665 | + | 9.02823i | −0.194187 | + | 0.291385i | ||||
\(961\) | 6.79263 | − | 16.3989i | 0.219117 | − | 0.528995i | ||||
\(962\) | −24.7994 | − | 30.2057i | −0.799565 | − | 0.973871i | ||||
\(963\) | −5.37546 | − | 3.59177i | −0.173222 | − | 0.115743i | ||||
\(964\) | 4.05893 | − | 4.06221i | 0.130729 | − | 0.130835i | ||||
\(965\) | −13.4119 | + | 13.4119i | −0.431745 | + | 0.431745i | ||||
\(966\) | 11.3698 | + | 6.07434i | 0.365818 | + | 0.195439i | ||||
\(967\) | −3.78282 | − | 9.13255i | −0.121647 | − | 0.293683i | 0.851312 | − | 0.524660i | \(-0.175808\pi\) |
−0.972959 | + | 0.230977i | \(0.925808\pi\) | |||||||
\(968\) | 3.02627 | − | 30.9184i | 0.0972680 | − | 0.993754i | ||||
\(969\) | −14.6442 | + | 2.80873i | −0.470439 | + | 0.0902293i | ||||
\(970\) | −18.2063 | + | 9.73620i | −0.584569 | + | 0.312611i | ||||
\(971\) | 12.6614 | + | 30.5674i | 0.406324 | + | 0.980954i | 0.986096 | + | 0.166175i | \(0.0531416\pi\) |
−0.579772 | + | 0.814779i | \(0.696858\pi\) | |||||||
\(972\) | 31.8052 | − | 0.0128534i | 1.02015 | − | 0.000412272i | ||||
\(973\) | 34.8672 | + | 34.8672i | 1.11779 | + | 1.11779i | ||||
\(974\) | 2.24369 | + | 7.39107i | 0.0718924 | + | 0.236825i | ||||
\(975\) | 5.09657 | + | 3.40542i | 0.163221 | + | 0.109061i | ||||
\(976\) | −9.28000 | − | 13.8642i | −0.297046 | − | 0.443783i | ||||
\(977\) | 0.554837 | + | 0.229821i | 0.0177508 | + | 0.00735263i | 0.391541 | − | 0.920161i | \(-0.371942\pi\) |
−0.373790 | + | 0.927513i | \(0.621942\pi\) | |||||||
\(978\) | 2.59175 | − | 0.255794i | 0.0828751 | − | 0.00817940i | ||||
\(979\) | 0.157717 | − | 0.0313719i | 0.00504066 | − | 0.00100265i | ||||
\(980\) | 14.4650 | + | 34.8817i | 0.462067 | + | 1.11425i | ||||
\(981\) | −6.41569 | + | 32.2539i | −0.204837 | + | 1.02979i | ||||
\(982\) | 5.01759 | − | 16.5528i | 0.160118 | − | 0.528222i | ||||
\(983\) | −16.9723 | − | 25.4009i | −0.541333 | − | 0.810162i | 0.455454 | − | 0.890259i | \(-0.349477\pi\) |
−0.996787 | + | 0.0800974i | \(0.974477\pi\) | |||||||
\(984\) | 23.1119 | − | 7.02621i | 0.736780 | − | 0.223987i | ||||
\(985\) | 27.6313i | 0.880405i | ||||||||
\(986\) | 2.84107 | − | 27.0035i | 0.0904781 | − | 0.859966i | ||||
\(987\) | 24.4939 | 0.779651 | ||||||||
\(988\) | 5.61846 | − | 28.3057i | 0.178747 | − | 0.900524i | ||||
\(989\) | 18.3145 | − | 12.2373i | 0.582366 | − | 0.389125i | ||||
\(990\) | −0.202018 | + | 0.666450i | −0.00642057 | + | 0.0211812i | ||||
\(991\) | 19.2840 | + | 3.83582i | 0.612576 | + | 0.121849i | 0.491621 | − | 0.870809i | \(-0.336404\pi\) |
0.120955 | + | 0.992658i | \(0.461404\pi\) | |||||||
\(992\) | 19.6986 | − | 5.99723i | 0.625430 | − | 0.190412i | ||||
\(993\) | 4.99764 | + | 25.1248i | 0.158595 | + | 0.797312i | ||||
\(994\) | −0.544552 | − | 5.51750i | −0.0172721 | − | 0.175005i | ||||
\(995\) | 4.23137 | − | 10.2154i | 0.134144 | − | 0.323851i | ||||
\(996\) | 3.23598 | − | 7.82129i | 0.102536 | − | 0.247827i | ||||
\(997\) | 12.9291 | − | 19.3497i | 0.409468 | − | 0.612813i | −0.568219 | − | 0.822877i | \(-0.692367\pi\) |
0.977688 | + | 0.210065i | \(0.0673674\pi\) | |||||||
\(998\) | −4.63513 | − | 15.2689i | −0.146723 | − | 0.483328i | ||||
\(999\) | 26.0800 | − | 26.0800i | 0.825134 | − | 0.825134i |
(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 | 136.2.s.c.107.5 | yes | 112 | |
4.3 | odd | 2 | 544.2.cc.c.175.7 | 112 | |||
8.3 | odd | 2 | inner | 136.2.s.c.107.14 | yes | 112 | |
8.5 | even | 2 | 544.2.cc.c.175.8 | 112 | |||
17.7 | odd | 16 | inner | 136.2.s.c.75.14 | yes | 112 | |
68.7 | even | 16 | 544.2.cc.c.143.8 | 112 | |||
136.75 | even | 16 | inner | 136.2.s.c.75.5 | ✓ | 112 | |
136.109 | odd | 16 | 544.2.cc.c.143.7 | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
136.2.s.c.75.5 | ✓ | 112 | 136.75 | even | 16 | inner | |
136.2.s.c.75.14 | yes | 112 | 17.7 | odd | 16 | inner | |
136.2.s.c.107.5 | yes | 112 | 1.1 | even | 1 | trivial | |
136.2.s.c.107.14 | yes | 112 | 8.3 | odd | 2 | inner | |
544.2.cc.c.143.7 | 112 | 136.109 | odd | 16 | |||
544.2.cc.c.143.8 | 112 | 68.7 | even | 16 | |||
544.2.cc.c.175.7 | 112 | 4.3 | odd | 2 | |||
544.2.cc.c.175.8 | 112 | 8.5 | even | 2 |