Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [633,2,Mod(632,633)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(633, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("633.632");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 633 = 3 \cdot 211 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 633.d (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.05453044795\) |
Analytic rank: | \(0\) |
Dimension: | \(68\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 632.19 | ||
Character | \(\chi\) | \(=\) | 633.632 |
Dual form | 633.2.d.a.632.20 |
$q$-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 \(\left(\mathbb{Z}/633\mathbb{Z}\right)^\times\).
\(n\) | \(212\) | \(424\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.34820 | −0.953322 | −0.476661 | − | 0.879087i | \(-0.658153\pi\) | ||||
−0.476661 | + | 0.879087i | \(0.658153\pi\) | |||||||
\(3\) | 0.793870 | − | 1.53941i | 0.458341 | − | 0.888777i | ||||
\(4\) | −0.182353 | −0.0911765 | ||||||||
\(5\) | − | 1.28346i | − | 0.573981i | −0.957933 | − | 0.286991i | \(-0.907345\pi\) | ||
0.957933 | − | 0.286991i | \(-0.0926549\pi\) | |||||||
\(6\) | −1.07030 | + | 2.07543i | −0.436947 | + | 0.847291i | ||||
\(7\) | 2.59500i | 0.980817i | 0.871493 | + | 0.490409i | \(0.163152\pi\) | ||||
−0.871493 | + | 0.490409i | \(0.836848\pi\) | |||||||
\(8\) | 2.94225 | 1.04024 | ||||||||
\(9\) | −1.73954 | − | 2.44418i | −0.579847 | − | 0.814725i | ||||
\(10\) | 1.73036i | 0.547189i | ||||||||
\(11\) | 4.75091i | 1.43245i | 0.697867 | + | 0.716227i | \(0.254132\pi\) | ||||
−0.697867 | + | 0.716227i | \(0.745868\pi\) | |||||||
\(12\) | −0.144764 | + | 0.280715i | −0.0417899 | + | 0.0810355i | ||||
\(13\) | −6.72460 | −1.86507 | −0.932534 | − | 0.361083i | \(-0.882407\pi\) | ||||
−0.932534 | + | 0.361083i | \(0.882407\pi\) | |||||||
\(14\) | − | 3.49858i | − | 0.935035i | ||||||
\(15\) | −1.97577 | − | 1.01890i | −0.510141 | − | 0.263079i | ||||
\(16\) | −3.60204 | −0.900510 | ||||||||
\(17\) | 4.43143 | 1.07478 | 0.537389 | − | 0.843334i | \(-0.319411\pi\) | ||||
0.537389 | + | 0.843334i | \(0.319411\pi\) | |||||||
\(18\) | 2.34525 | + | 3.29524i | 0.552781 | + | 0.776696i | ||||
\(19\) | −6.32695 | −1.45150 | −0.725752 | − | 0.687957i | \(-0.758508\pi\) | ||||
−0.725752 | + | 0.687957i | \(0.758508\pi\) | |||||||
\(20\) | 0.234043i | 0.0523336i | ||||||||
\(21\) | 3.99476 | + | 2.06009i | 0.871727 | + | 0.449549i | ||||
\(22\) | − | 6.40519i | − | 1.36559i | ||||||
\(23\) | −6.19362 | −1.29146 | −0.645730 | − | 0.763566i | \(-0.723447\pi\) | ||||
−0.645730 | + | 0.763566i | \(0.723447\pi\) | |||||||
\(24\) | 2.33576 | − | 4.52932i | 0.476786 | − | 0.924543i | ||||
\(25\) | 3.35273 | 0.670546 | ||||||||
\(26\) | 9.06611 | 1.77801 | ||||||||
\(27\) | −5.14355 | + | 0.737505i | −0.989876 | + | 0.141933i | ||||
\(28\) | − | 0.473206i | − | 0.0894275i | ||||||
\(29\) | −0.966780 | −0.179526 | −0.0897632 | − | 0.995963i | \(-0.528611\pi\) | ||||
−0.0897632 | + | 0.995963i | \(0.528611\pi\) | |||||||
\(30\) | 2.66373 | + | 1.37368i | 0.486329 | + | 0.250799i | ||||
\(31\) | 10.2081i | 1.83343i | 0.399541 | + | 0.916715i | \(0.369170\pi\) | ||||
−0.399541 | + | 0.916715i | \(0.630830\pi\) | |||||||
\(32\) | −1.02823 | −0.181766 | ||||||||
\(33\) | 7.31358 | + | 3.77161i | 1.27313 | + | 0.656552i | ||||
\(34\) | −5.97446 | −1.02461 | ||||||||
\(35\) | 3.33058 | 0.562971 | ||||||||
\(36\) | 0.317211 | + | 0.445703i | 0.0528684 | + | 0.0742838i | ||||
\(37\) | −0.457033 | −0.0751358 | −0.0375679 | − | 0.999294i | \(-0.511961\pi\) | ||||
−0.0375679 | + | 0.999294i | \(0.511961\pi\) | |||||||
\(38\) | 8.53001 | 1.38375 | ||||||||
\(39\) | −5.33845 | + | 10.3519i | −0.854836 | + | 1.65763i | ||||
\(40\) | − | 3.77627i | − | 0.597080i | ||||||
\(41\) | 6.08630 | 0.950520 | 0.475260 | − | 0.879845i | \(-0.342354\pi\) | ||||
0.475260 | + | 0.879845i | \(0.342354\pi\) | |||||||
\(42\) | −5.38574 | − | 2.77742i | −0.831037 | − | 0.428565i | ||||
\(43\) | −3.88186 | −0.591977 | −0.295989 | − | 0.955191i | \(-0.595649\pi\) | ||||
−0.295989 | + | 0.955191i | \(0.595649\pi\) | |||||||
\(44\) | − | 0.866343i | − | 0.130606i | ||||||
\(45\) | −3.13700 | + | 2.23263i | −0.467637 | + | 0.332822i | ||||
\(46\) | 8.35025 | 1.23118 | ||||||||
\(47\) | 4.10698i | 0.599065i | 0.954086 | + | 0.299533i | \(0.0968307\pi\) | ||||
−0.954086 | + | 0.299533i | \(0.903169\pi\) | |||||||
\(48\) | −2.85955 | + | 5.54500i | −0.412741 | + | 0.800352i | ||||
\(49\) | 0.265981 | 0.0379973 | ||||||||
\(50\) | −4.52015 | −0.639246 | ||||||||
\(51\) | 3.51798 | − | 6.82177i | 0.492615 | − | 0.955238i | ||||
\(52\) | 1.22625 | 0.170050 | ||||||||
\(53\) | 11.6850i | 1.60506i | 0.596614 | + | 0.802529i | \(0.296513\pi\) | ||||
−0.596614 | + | 0.802529i | \(0.703487\pi\) | |||||||
\(54\) | 6.93454 | − | 0.994306i | 0.943671 | − | 0.135308i | ||||
\(55\) | 6.09761 | 0.822202 | ||||||||
\(56\) | 7.63514i | 1.02029i | ||||||||
\(57\) | −5.02278 | + | 9.73975i | −0.665283 | + | 1.29006i | ||||
\(58\) | 1.30341 | 0.171147 | ||||||||
\(59\) | − | 9.40621i | − | 1.22458i | −0.790632 | − | 0.612292i | \(-0.790248\pi\) | ||
0.790632 | − | 0.612292i | \(-0.209752\pi\) | |||||||
\(60\) | 0.360287 | + | 0.185800i | 0.0465129 | + | 0.0239866i | ||||
\(61\) | − | 7.82516i | − | 1.00191i | −0.865473 | − | 0.500955i | \(-0.832982\pi\) | ||
0.865473 | − | 0.500955i | \(-0.167018\pi\) | |||||||
\(62\) | − | 13.7626i | − | 1.74785i | ||||||
\(63\) | 6.34263 | − | 4.51411i | 0.799097 | − | 0.568724i | ||||
\(64\) | 8.59034 | 1.07379 | ||||||||
\(65\) | 8.63076i | 1.07051i | ||||||||
\(66\) | −9.86018 | − | 5.08488i | −1.21370 | − | 0.625906i | ||||
\(67\) | 4.40747i | 0.538458i | 0.963076 | + | 0.269229i | \(0.0867688\pi\) | ||||
−0.963076 | + | 0.269229i | \(0.913231\pi\) | |||||||
\(68\) | −0.808084 | −0.0979945 | ||||||||
\(69\) | −4.91693 | + | 9.53450i | −0.591928 | + | 1.14782i | ||||
\(70\) | −4.49029 | −0.536693 | ||||||||
\(71\) | 1.64430i | 0.195142i | 0.995229 | + | 0.0975712i | \(0.0311074\pi\) | ||||
−0.995229 | + | 0.0975712i | \(0.968893\pi\) | |||||||
\(72\) | −5.11817 | − | 7.19138i | −0.603182 | − | 0.847512i | ||||
\(73\) | 0.568453 | 0.0665324 | 0.0332662 | − | 0.999447i | \(-0.489409\pi\) | ||||
0.0332662 | + | 0.999447i | \(0.489409\pi\) | |||||||
\(74\) | 0.616173 | 0.0716286 | ||||||||
\(75\) | 2.66163 | − | 5.16121i | 0.307338 | − | 0.595965i | ||||
\(76\) | 1.15374 | 0.132343 | ||||||||
\(77\) | −12.3286 | −1.40498 | ||||||||
\(78\) | 7.19731 | − | 13.9564i | 0.814935 | − | 1.58025i | ||||
\(79\) | −12.3033 | −1.38423 | −0.692113 | − | 0.721789i | \(-0.743320\pi\) | ||||
−0.692113 | + | 0.721789i | \(0.743320\pi\) | |||||||
\(80\) | 4.62308i | 0.516876i | ||||||||
\(81\) | −2.94799 | + | 8.50349i | −0.327554 | + | 0.944832i | ||||
\(82\) | −8.20556 | −0.906152 | ||||||||
\(83\) | − | 0.218874i | − | 0.0240245i | −0.999928 | − | 0.0120123i | \(-0.996176\pi\) | ||
0.999928 | − | 0.0120123i | \(-0.00382371\pi\) | |||||||
\(84\) | −0.728456 | − | 0.375664i | −0.0794810 | − | 0.0409883i | ||||
\(85\) | − | 5.68756i | − | 0.616903i | ||||||
\(86\) | 5.23352 | 0.564345 | ||||||||
\(87\) | −0.767497 | + | 1.48827i | −0.0822843 | + | 0.159559i | ||||
\(88\) | 13.9784i | 1.49010i | ||||||||
\(89\) | −1.91360 | −0.202841 | −0.101421 | − | 0.994844i | \(-0.532339\pi\) | ||||
−0.101421 | + | 0.994844i | \(0.532339\pi\) | |||||||
\(90\) | 4.22931 | − | 3.01004i | 0.445809 | − | 0.317286i | ||||
\(91\) | − | 17.4503i | − | 1.82929i | ||||||
\(92\) | 1.12942 | 0.117751 | ||||||||
\(93\) | 15.7144 | + | 8.10391i | 1.62951 | + | 0.840336i | ||||
\(94\) | − | 5.53704i | − | 0.571102i | ||||||
\(95\) | 8.12040i | 0.833136i | ||||||||
\(96\) | −0.816277 | + | 1.58286i | −0.0833109 | + | 0.161550i | ||||
\(97\) | 9.85223i | 1.00034i | 0.865927 | + | 0.500171i | \(0.166730\pi\) | ||||
−0.865927 | + | 0.500171i | \(0.833270\pi\) | |||||||
\(98\) | −0.358596 | −0.0362237 | ||||||||
\(99\) | 11.6121 | − | 8.26441i | 1.16706 | − | 0.830605i | ||||
\(100\) | −0.611380 | −0.0611380 | ||||||||
\(101\) | 7.14225i | 0.710681i | 0.934737 | + | 0.355340i | \(0.115635\pi\) | ||||
−0.934737 | + | 0.355340i | \(0.884365\pi\) | |||||||
\(102\) | −4.74294 | + | 9.19711i | −0.469621 | + | 0.910650i | ||||
\(103\) | −0.502325 | −0.0494956 | −0.0247478 | − | 0.999694i | \(-0.507878\pi\) | ||||
−0.0247478 | + | 0.999694i | \(0.507878\pi\) | |||||||
\(104\) | −19.7854 | −1.94012 | ||||||||
\(105\) | 2.64405 | − | 5.12712i | 0.258032 | − | 0.500355i | ||||
\(106\) | − | 15.7537i | − | 1.53014i | ||||||
\(107\) | 7.90302i | 0.764014i | 0.924159 | + | 0.382007i | \(0.124767\pi\) | ||||
−0.924159 | + | 0.382007i | \(0.875233\pi\) | |||||||
\(108\) | 0.937941 | − | 0.134486i | 0.0902534 | − | 0.0129409i | ||||
\(109\) | −6.65713 | −0.637637 | −0.318819 | − | 0.947816i | \(-0.603286\pi\) | ||||
−0.318819 | + | 0.947816i | \(0.603286\pi\) | |||||||
\(110\) | −8.22081 | −0.783823 | ||||||||
\(111\) | −0.362825 | + | 0.703560i | −0.0344378 | + | 0.0667789i | ||||
\(112\) | − | 9.34729i | − | 0.883236i | ||||||
\(113\) | − | 14.9150i | − | 1.40308i | −0.712629 | − | 0.701541i | \(-0.752496\pi\) | ||
0.712629 | − | 0.701541i | \(-0.247504\pi\) | |||||||
\(114\) | 6.77172 | − | 13.1311i | 0.634229 | − | 1.22984i | ||||
\(115\) | 7.94927i | 0.741273i | ||||||||
\(116\) | 0.176295 | 0.0163686 | ||||||||
\(117\) | 11.6977 | + | 16.4361i | 1.08145 | + | 1.51952i | ||||
\(118\) | 12.6815i | 1.16742i | ||||||||
\(119\) | 11.4995i | 1.05416i | ||||||||
\(120\) | −5.81321 | − | 2.99786i | −0.530671 | − | 0.273666i | ||||
\(121\) | −11.5712 | −1.05192 | ||||||||
\(122\) | 10.5499i | 0.955143i | ||||||||
\(123\) | 4.83173 | − | 9.36929i | 0.435662 | − | 0.844800i | ||||
\(124\) | − | 1.86148i | − | 0.167166i | ||||||
\(125\) | − | 10.7204i | − | 0.958862i | ||||||
\(126\) | −8.55115 | + | 6.08593i | −0.761797 | + | 0.542178i | ||||
\(127\) | − | 9.58452i | − | 0.850489i | −0.905079 | − | 0.425244i | \(-0.860188\pi\) | ||
0.905079 | − | 0.425244i | \(-0.139812\pi\) | |||||||
\(128\) | −9.52506 | −0.841904 | ||||||||
\(129\) | −3.08169 | + | 5.97575i | −0.271327 | + | 0.526136i | ||||
\(130\) | − | 11.6360i | − | 1.02054i | ||||||
\(131\) | −4.47676 | −0.391136 | −0.195568 | − | 0.980690i | \(-0.562655\pi\) | ||||
−0.195568 | + | 0.980690i | \(0.562655\pi\) | |||||||
\(132\) | −1.33365 | − | 0.687763i | −0.116080 | − | 0.0598621i | ||||
\(133\) | − | 16.4184i | − | 1.42366i | ||||||
\(134\) | − | 5.94215i | − | 0.513324i | ||||||
\(135\) | 0.946559 | + | 6.60154i | 0.0814668 | + | 0.568170i | ||||
\(136\) | 13.0384 | 1.11803 | ||||||||
\(137\) | − | 6.95548i | − | 0.594247i | −0.954839 | − | 0.297124i | \(-0.903973\pi\) | ||
0.954839 | − | 0.297124i | \(-0.0960273\pi\) | |||||||
\(138\) | 6.62901 | − | 12.8544i | 0.564299 | − | 1.09424i | ||||
\(139\) | −13.1752 | −1.11751 | −0.558753 | − | 0.829334i | \(-0.688720\pi\) | ||||
−0.558753 | + | 0.829334i | \(0.688720\pi\) | |||||||
\(140\) | −0.607341 | −0.0513297 | ||||||||
\(141\) | 6.32232 | + | 3.26041i | 0.532435 | + | 0.274576i | ||||
\(142\) | − | 2.21685i | − | 0.186034i | ||||||
\(143\) | − | 31.9480i | − | 2.67162i | ||||||
\(144\) | 6.26590 | + | 8.80402i | 0.522159 | + | 0.733668i | ||||
\(145\) | 1.24082i | 0.103045i | ||||||||
\(146\) | −0.766390 | −0.0634269 | ||||||||
\(147\) | 0.211154 | − | 0.409453i | 0.0174157 | − | 0.0337711i | ||||
\(148\) | 0.0833413 | 0.00685062 | ||||||||
\(149\) | 22.6884 | 1.85871 | 0.929353 | − | 0.369192i | \(-0.120366\pi\) | ||||
0.929353 | + | 0.369192i | \(0.120366\pi\) | |||||||
\(150\) | −3.58841 | + | 6.95835i | −0.292993 | + | 0.568147i | ||||
\(151\) | −7.26914 | −0.591554 | −0.295777 | − | 0.955257i | \(-0.595579\pi\) | ||||
−0.295777 | + | 0.955257i | \(0.595579\pi\) | |||||||
\(152\) | −18.6155 | −1.50992 | ||||||||
\(153\) | −7.70865 | − | 10.8312i | −0.623208 | − | 0.875649i | ||||
\(154\) | 16.6215 | 1.33939 | ||||||||
\(155\) | 13.1017 | 1.05235 | ||||||||
\(156\) | 0.973482 | − | 1.88770i | 0.0779410 | − | 0.151137i | ||||
\(157\) | − | 21.5233i | − | 1.71775i | −0.512188 | − | 0.858873i | \(-0.671165\pi\) | ||
0.512188 | − | 0.858873i | \(-0.328835\pi\) | |||||||
\(158\) | 16.5873 | 1.31961 | ||||||||
\(159\) | 17.9879 | + | 9.27636i | 1.42654 | + | 0.735663i | ||||
\(160\) | 1.31969i | 0.104330i | ||||||||
\(161\) | − | 16.0724i | − | 1.26669i | ||||||
\(162\) | 3.97448 | − | 11.4644i | 0.312265 | − | 0.900730i | ||||
\(163\) | −2.01926 | −0.158161 | −0.0790804 | − | 0.996868i | \(-0.525198\pi\) | ||||
−0.0790804 | + | 0.996868i | \(0.525198\pi\) | |||||||
\(164\) | −1.10985 | −0.0866651 | ||||||||
\(165\) | 4.84071 | − | 9.38670i | 0.376849 | − | 0.730754i | ||||
\(166\) | 0.295086i | 0.0229031i | ||||||||
\(167\) | −0.980410 | −0.0758664 | −0.0379332 | − | 0.999280i | \(-0.512077\pi\) | ||||
−0.0379332 | + | 0.999280i | \(0.512077\pi\) | |||||||
\(168\) | 11.7536 | + | 6.06130i | 0.906808 | + | 0.467640i | ||||
\(169\) | 32.2202 | 2.47848 | ||||||||
\(170\) | 7.66798i | 0.588107i | ||||||||
\(171\) | 11.0060 | + | 15.4642i | 0.841650 | + | 1.18258i | ||||
\(172\) | 0.707868 | 0.0539744 | ||||||||
\(173\) | − | 11.1444i | − | 0.847290i | −0.905828 | − | 0.423645i | \(-0.860750\pi\) | ||
0.905828 | − | 0.423645i | \(-0.139250\pi\) | |||||||
\(174\) | 1.03474 | − | 2.00648i | 0.0784435 | − | 0.152111i | ||||
\(175\) | 8.70032i | 0.657683i | ||||||||
\(176\) | − | 17.1130i | − | 1.28994i | ||||||
\(177\) | −14.4800 | − | 7.46730i | −1.08838 | − | 0.561277i | ||||
\(178\) | 2.57992 | 0.193373 | ||||||||
\(179\) | − | 4.06908i | − | 0.304137i | −0.988370 | − | 0.152069i | \(-0.951407\pi\) | ||
0.988370 | − | 0.152069i | \(-0.0485935\pi\) | |||||||
\(180\) | 0.572042 | − | 0.407127i | 0.0426375 | − | 0.0303455i | ||||
\(181\) | 22.4435i | 1.66821i | 0.551606 | + | 0.834105i | \(0.314015\pi\) | ||||
−0.551606 | + | 0.834105i | \(0.685985\pi\) | |||||||
\(182\) | 23.5265i | 1.74390i | ||||||||
\(183\) | −12.0461 | − | 6.21216i | −0.890474 | − | 0.459216i | ||||
\(184\) | −18.2232 | −1.34343 | ||||||||
\(185\) | 0.586584i | 0.0431265i | ||||||||
\(186\) | −21.1862 | − | 10.9257i | −1.55345 | − | 0.801111i | ||||
\(187\) | 21.0533i | 1.53957i | ||||||||
\(188\) | − | 0.748921i | − | 0.0546206i | ||||||
\(189\) | −1.91383 | − | 13.3475i | −0.139210 | − | 0.970888i | ||||
\(190\) | − | 10.9479i | − | 0.794247i | ||||||
\(191\) | 8.18924 | 0.592553 | 0.296276 | − | 0.955102i | \(-0.404255\pi\) | ||||
0.296276 | + | 0.955102i | \(0.404255\pi\) | |||||||
\(192\) | 6.81961 | − | 13.2240i | 0.492163 | − | 0.954361i | ||||
\(193\) | −7.60825 | −0.547654 | −0.273827 | − | 0.961779i | \(-0.588290\pi\) | ||||
−0.273827 | + | 0.961779i | \(0.588290\pi\) | |||||||
\(194\) | − | 13.2828i | − | 0.953648i | ||||||
\(195\) | 13.2862 | + | 6.85169i | 0.951447 | + | 0.490660i | ||||
\(196\) | −0.0485025 | −0.00346446 | ||||||||
\(197\) | −19.7770 | −1.40905 | −0.704526 | − | 0.709678i | \(-0.748840\pi\) | ||||
−0.704526 | + | 0.709678i | \(0.748840\pi\) | |||||||
\(198\) | −15.6554 | + | 11.1421i | −1.11258 | + | 0.791834i | ||||
\(199\) | −6.76023 | −0.479220 | −0.239610 | − | 0.970869i | \(-0.577020\pi\) | ||||
−0.239610 | + | 0.970869i | \(0.577020\pi\) | |||||||
\(200\) | 9.86457 | 0.697530 | ||||||||
\(201\) | 6.78488 | + | 3.49895i | 0.478569 | + | 0.246797i | ||||
\(202\) | − | 9.62920i | − | 0.677508i | ||||||
\(203\) | − | 2.50879i | − | 0.176083i | ||||||
\(204\) | −0.641513 | + | 1.24397i | −0.0449149 | + | 0.0870952i | ||||
\(205\) | − | 7.81153i | − | 0.545581i | ||||||
\(206\) | 0.677235 | 0.0471852 | ||||||||
\(207\) | 10.7741 | + | 15.1383i | 0.748849 | + | 1.05218i | ||||
\(208\) | 24.2223 | 1.67951 | ||||||||
\(209\) | − | 30.0588i | − | 2.07921i | ||||||
\(210\) | −3.56471 | + | 6.91238i | −0.245988 | + | 0.477000i | ||||
\(211\) | −12.0190 | + | 8.15740i | −0.827423 | + | 0.561579i | ||||
\(212\) | − | 2.13079i | − | 0.146343i | ||||||
\(213\) | 2.53124 | + | 1.30536i | 0.173438 | + | 0.0894417i | ||||
\(214\) | − | 10.6549i | − | 0.728351i | ||||||
\(215\) | 4.98221i | 0.339784i | ||||||||
\(216\) | −15.1336 | + | 2.16993i | −1.02971 | + | 0.147645i | ||||
\(217\) | −26.4900 | −1.79826 | ||||||||
\(218\) | 8.97515 | 0.607874 | ||||||||
\(219\) | 0.451278 | − | 0.875081i | 0.0304945 | − | 0.0591325i | ||||
\(220\) | −1.11192 | −0.0749655 | ||||||||
\(221\) | −29.7996 | −2.00453 | ||||||||
\(222\) | 0.489161 | − | 0.948540i | 0.0328303 | − | 0.0636618i | ||||
\(223\) | 2.50656i | 0.167852i | 0.996472 | + | 0.0839260i | \(0.0267459\pi\) | ||||
−0.996472 | + | 0.0839260i | \(0.973254\pi\) | |||||||
\(224\) | − | 2.66824i | − | 0.178279i | ||||||
\(225\) | −5.83221 | − | 8.19465i | −0.388814 | − | 0.546310i | ||||
\(226\) | 20.1084i | 1.33759i | ||||||||
\(227\) | − | 10.0017i | − | 0.663835i | −0.943308 | − | 0.331917i | \(-0.892304\pi\) | ||
0.943308 | − | 0.331917i | \(-0.107696\pi\) | |||||||
\(228\) | 0.915918 | − | 1.77607i | 0.0606582 | − | 0.117623i | ||||
\(229\) | 1.38853i | 0.0917569i | 0.998947 | + | 0.0458785i | \(0.0146087\pi\) | ||||
−0.998947 | + | 0.0458785i | \(0.985391\pi\) | |||||||
\(230\) | − | 10.7172i | − | 0.706672i | ||||||
\(231\) | −9.78731 | + | 18.9787i | −0.643958 | + | 1.24871i | ||||
\(232\) | −2.84451 | −0.186751 | ||||||||
\(233\) | −15.2444 | −0.998696 | −0.499348 | − | 0.866402i | \(-0.666427\pi\) | ||||
−0.499348 | + | 0.866402i | \(0.666427\pi\) | |||||||
\(234\) | −15.7709 | − | 22.1592i | −1.03097 | − | 1.44859i | ||||
\(235\) | 5.27115 | 0.343852 | ||||||||
\(236\) | 1.71525i | 0.111653i | ||||||||
\(237\) | −9.76720 | + | 18.9397i | −0.634448 | + | 1.23027i | ||||
\(238\) | − | 15.5037i | − | 1.00496i | ||||||
\(239\) | −5.86280 | −0.379233 | −0.189617 | − | 0.981858i | \(-0.560724\pi\) | ||||
−0.189617 | + | 0.981858i | \(0.560724\pi\) | |||||||
\(240\) | 7.11680 | + | 3.67012i | 0.459387 | + | 0.236905i | ||||
\(241\) | 23.7016 | 1.52675 | 0.763376 | − | 0.645955i | \(-0.223541\pi\) | ||||
0.763376 | + | 0.645955i | \(0.223541\pi\) | |||||||
\(242\) | 15.6003 | 1.00282 | ||||||||
\(243\) | 10.7500 | + | 11.2888i | 0.689613 | + | 0.724178i | ||||
\(244\) | 1.42694i | 0.0913506i | ||||||||
\(245\) | − | 0.341377i | − | 0.0218097i | ||||||
\(246\) | −6.51414 | + | 12.6317i | −0.415327 | + | 0.805367i | ||||
\(247\) | 42.5462 | 2.70715 | ||||||||
\(248\) | 30.0348i | 1.90721i | ||||||||
\(249\) | −0.336935 | − | 0.173757i | −0.0213524 | − | 0.0110114i | ||||
\(250\) | 14.4533i | 0.914104i | ||||||||
\(251\) | 4.63768 | 0.292728 | 0.146364 | − | 0.989231i | \(-0.453243\pi\) | ||||
0.146364 | + | 0.989231i | \(0.453243\pi\) | |||||||
\(252\) | −1.15660 | + | 0.823161i | −0.0728588 | + | 0.0518543i | ||||
\(253\) | − | 29.4253i | − | 1.84996i | ||||||
\(254\) | 12.9219i | 0.810790i | ||||||||
\(255\) | −8.75547 | − | 4.51518i | −0.548289 | − | 0.282752i | ||||
\(256\) | −4.33898 | −0.271186 | ||||||||
\(257\) | 24.1300i | 1.50519i | 0.658484 | + | 0.752595i | \(0.271198\pi\) | ||||
−0.658484 | + | 0.752595i | \(0.728802\pi\) | |||||||
\(258\) | 4.15474 | − | 8.05652i | 0.258663 | − | 0.501577i | ||||
\(259\) | − | 1.18600i | − | 0.0736945i | ||||||
\(260\) | − | 1.57384i | − | 0.0976056i | ||||||
\(261\) | 1.68175 | + | 2.36298i | 0.104098 | + | 0.146265i | ||||
\(262\) | 6.03557 | 0.372879 | ||||||||
\(263\) | − | 5.40571i | − | 0.333330i | −0.986014 | − | 0.166665i | \(-0.946700\pi\) | ||
0.986014 | − | 0.166665i | \(-0.0532999\pi\) | |||||||
\(264\) | 21.5184 | + | 11.0970i | 1.32437 | + | 0.682974i | ||||
\(265\) | 14.9972 | 0.921273 | ||||||||
\(266\) | 22.1354i | 1.35721i | ||||||||
\(267\) | −1.51915 | + | 2.94581i | −0.0929703 | + | 0.180280i | ||||
\(268\) | − | 0.803715i | − | 0.0490947i | ||||||
\(269\) | 21.0439i | 1.28307i | 0.767093 | + | 0.641536i | \(0.221702\pi\) | ||||
−0.767093 | + | 0.641536i | \(0.778298\pi\) | |||||||
\(270\) | −1.27615 | − | 8.90021i | −0.0776642 | − | 0.541650i | ||||
\(271\) | 28.6781i | 1.74207i | 0.491221 | + | 0.871035i | \(0.336551\pi\) | ||||
−0.491221 | + | 0.871035i | \(0.663449\pi\) | |||||||
\(272\) | −15.9622 | −0.967850 | ||||||||
\(273\) | −26.8631 | − | 13.8533i | −1.62583 | − | 0.838438i | ||||
\(274\) | 9.37739i | 0.566509i | ||||||||
\(275\) | 15.9285i | 0.960526i | ||||||||
\(276\) | 0.896616 | − | 1.73864i | 0.0539699 | − | 0.104654i | ||||
\(277\) | −22.4494 | −1.34885 | −0.674426 | − | 0.738342i | \(-0.735609\pi\) | ||||
−0.674426 | + | 0.738342i | \(0.735609\pi\) | |||||||
\(278\) | 17.7628 | 1.06534 | ||||||||
\(279\) | 24.9504 | − | 17.7574i | 1.49374 | − | 1.06311i | ||||
\(280\) | 9.79940 | 0.585626 | ||||||||
\(281\) | 8.89731i | 0.530769i | 0.964143 | + | 0.265385i | \(0.0854989\pi\) | ||||
−0.964143 | + | 0.265385i | \(0.914501\pi\) | |||||||
\(282\) | −8.52375 | − | 4.39569i | −0.507582 | − | 0.261759i | ||||
\(283\) | 2.37606i | 0.141242i | 0.997503 | + | 0.0706212i | \(0.0224982\pi\) | ||||
−0.997503 | + | 0.0706212i | \(0.977502\pi\) | |||||||
\(284\) | − | 0.299843i | − | 0.0177924i | ||||||
\(285\) | 12.5006 | + | 6.44654i | 0.740471 | + | 0.381860i | ||||
\(286\) | 43.0723i | 2.54692i | ||||||||
\(287\) | 15.7939i | 0.932287i | ||||||||
\(288\) | 1.78864 | + | 2.51316i | 0.105397 | + | 0.148090i | ||||
\(289\) | 2.63754 | 0.155150 | ||||||||
\(290\) | − | 1.67288i | − | 0.0982349i | ||||||
\(291\) | 15.1666 | + | 7.82138i | 0.889080 | + | 0.458498i | ||||
\(292\) | −0.103659 | −0.00606619 | ||||||||
\(293\) | − | 17.6596i | − | 1.03168i | −0.856684 | − | 0.515842i | \(-0.827479\pi\) | ||
0.856684 | − | 0.515842i | \(-0.172521\pi\) | |||||||
\(294\) | −0.284679 | + | 0.552025i | −0.0166028 | + | 0.0321948i | ||||
\(295\) | −12.0725 | −0.702888 | ||||||||
\(296\) | −1.34471 | −0.0781595 | ||||||||
\(297\) | −3.50382 | − | 24.4365i | −0.203312 | − | 1.41795i | ||||
\(298\) | −30.5885 | −1.77195 | ||||||||
\(299\) | 41.6496 | 2.40866 | ||||||||
\(300\) | −0.485356 | + | 0.941162i | −0.0280220 | + | 0.0543380i | ||||
\(301\) | − | 10.0734i | − | 0.580622i | ||||||
\(302\) | 9.80027 | 0.563942 | ||||||||
\(303\) | 10.9948 | + | 5.67002i | 0.631636 | + | 0.325734i | ||||
\(304\) | 22.7900 | 1.30709 | ||||||||
\(305\) | −10.0433 | −0.575077 | ||||||||
\(306\) | 10.3928 | + | 14.6026i | 0.594118 | + | 0.834776i | ||||
\(307\) | −13.3186 | −0.760131 | −0.380066 | − | 0.924960i | \(-0.624099\pi\) | ||||
−0.380066 | + | 0.924960i | \(0.624099\pi\) | |||||||
\(308\) | 2.24816 | 0.128101 | ||||||||
\(309\) | −0.398781 | + | 0.773282i | −0.0226858 | + | 0.0439905i | ||||
\(310\) | −17.6637 | −1.00323 | ||||||||
\(311\) | − | 2.91169i | − | 0.165107i | −0.996587 | − | 0.0825534i | \(-0.973692\pi\) | ||
0.996587 | − | 0.0825534i | \(-0.0263075\pi\) | |||||||
\(312\) | −15.7071 | + | 30.4578i | −0.889238 | + | 1.72434i | ||||
\(313\) | − | 23.0656i | − | 1.30375i | −0.758328 | − | 0.651874i | \(-0.773983\pi\) | ||
0.758328 | − | 0.651874i | \(-0.226017\pi\) | |||||||
\(314\) | 29.0177i | 1.63757i | ||||||||
\(315\) | −5.79368 | − | 8.14052i | −0.326437 | − | 0.458666i | ||||
\(316\) | 2.24354 | 0.126209 | ||||||||
\(317\) | 24.1284 | 1.35519 | 0.677594 | − | 0.735436i | \(-0.263023\pi\) | ||||
0.677594 | + | 0.735436i | \(0.263023\pi\) | |||||||
\(318\) | −24.2514 | − | 12.5064i | −1.35995 | − | 0.701324i | ||||
\(319\) | − | 4.59308i | − | 0.257163i | ||||||
\(320\) | − | 11.0254i | − | 0.616337i | ||||||
\(321\) | 12.1660 | + | 6.27397i | 0.679038 | + | 0.350179i | ||||
\(322\) | 21.6689i | 1.20756i | ||||||||
\(323\) | −28.0374 | −1.56004 | ||||||||
\(324\) | 0.537574 | − | 1.55064i | 0.0298652 | − | 0.0861465i | ||||
\(325\) | −22.5457 | −1.25061 | ||||||||
\(326\) | 2.72237 | 0.150778 | ||||||||
\(327\) | −5.28489 | + | 10.2480i | −0.292255 | + | 0.566717i | ||||
\(328\) | 17.9074 | 0.988772 | ||||||||
\(329\) | −10.6576 | −0.587573 | ||||||||
\(330\) | −6.52625 | + | 12.6552i | −0.359258 | + | 0.696644i | ||||
\(331\) | 12.0940 | 0.664745 | 0.332372 | − | 0.943148i | \(-0.392151\pi\) | ||||
0.332372 | + | 0.943148i | \(0.392151\pi\) | |||||||
\(332\) | 0.0399122i | 0.00219047i | ||||||||
\(333\) | 0.795028 | + | 1.11707i | 0.0435673 | + | 0.0612150i | ||||
\(334\) | 1.32179 | 0.0723251 | ||||||||
\(335\) | 5.65681 | 0.309065 | ||||||||
\(336\) | −14.3893 | − | 7.42053i | −0.785000 | − | 0.404823i | ||||
\(337\) | −13.5089 | −0.735876 | −0.367938 | − | 0.929850i | \(-0.619936\pi\) | ||||
−0.367938 | + | 0.929850i | \(0.619936\pi\) | |||||||
\(338\) | −43.4393 | −2.36279 | ||||||||
\(339\) | −22.9602 | − | 11.8405i | −1.24703 | − | 0.643090i | ||||
\(340\) | 1.03714i | 0.0562470i | ||||||||
\(341\) | −48.4978 | −2.62631 | ||||||||
\(342\) | −14.8383 | − | 20.8488i | −0.802364 | − | 1.12738i | ||||
\(343\) | 18.8552i | 1.01809i | ||||||||
\(344\) | −11.4214 | −0.615800 | ||||||||
\(345\) | 12.2372 | + | 6.31068i | 0.658826 | + | 0.339756i | ||||
\(346\) | 15.0248i | 0.807740i | ||||||||
\(347\) | − | 18.2638i | − | 0.980451i | −0.871596 | − | 0.490226i | \(-0.836914\pi\) | ||
0.871596 | − | 0.490226i | \(-0.163086\pi\) | |||||||
\(348\) | 0.139955 | − | 0.271390i | 0.00750239 | − | 0.0145480i | ||||
\(349\) | − | 2.99438i | − | 0.160285i | −0.996783 | − | 0.0801426i | \(-0.974462\pi\) | ||
0.996783 | − | 0.0801426i | \(-0.0255376\pi\) | |||||||
\(350\) | − | 11.7298i | − | 0.626984i | ||||||
\(351\) | 34.5883 | − | 4.95942i | 1.84619 | − | 0.264714i | ||||
\(352\) | − | 4.88501i | − | 0.260372i | ||||||
\(353\) | 1.11299 | 0.0592386 | 0.0296193 | − | 0.999561i | \(-0.490571\pi\) | ||||
0.0296193 | + | 0.999561i | \(0.490571\pi\) | |||||||
\(354\) | 19.5219 | + | 10.0674i | 1.03758 | + | 0.535078i | ||||
\(355\) | 2.11039 | 0.112008 | ||||||||
\(356\) | 0.348950 | 0.0184943 | ||||||||
\(357\) | 17.7025 | + | 9.12914i | 0.936914 | + | 0.483165i | ||||
\(358\) | 5.48594i | 0.289941i | ||||||||
\(359\) | 19.7396i | 1.04181i | 0.853613 | + | 0.520907i | \(0.174406\pi\) | ||||
−0.853613 | + | 0.520907i | \(0.825594\pi\) | |||||||
\(360\) | −9.22985 | + | 6.56897i | −0.486456 | + | 0.346215i | ||||
\(361\) | 21.0304 | 1.10686 | ||||||||
\(362\) | − | 30.2583i | − | 1.59034i | ||||||
\(363\) | −9.18600 | + | 17.8127i | −0.482140 | + | 0.934926i | ||||
\(364\) | 3.18212i | 0.166788i | ||||||||
\(365\) | − | 0.729588i | − | 0.0381884i | ||||||
\(366\) | 16.2406 | + | 8.37524i | 0.848909 | + | 0.437781i | ||||
\(367\) | − | 3.65952i | − | 0.191026i | −0.995428 | − | 0.0955128i | \(-0.969551\pi\) | ||
0.995428 | − | 0.0955128i | \(-0.0304491\pi\) | |||||||
\(368\) | 22.3097 | 1.16297 | ||||||||
\(369\) | −10.5874 | − | 14.8760i | −0.551157 | − | 0.774413i | ||||
\(370\) | − | 0.790834i | − | 0.0411135i | ||||||
\(371\) | −30.3225 | −1.57427 | ||||||||
\(372\) | −2.86557 | − | 1.47777i | −0.148573 | − | 0.0766189i | ||||
\(373\) | 0.674316i | 0.0349148i | 0.999848 | + | 0.0174574i | \(0.00555714\pi\) | ||||
−0.999848 | + | 0.0174574i | \(0.994443\pi\) | |||||||
\(374\) | − | 28.3841i | − | 1.46771i | ||||||
\(375\) | −16.5031 | − | 8.51060i | −0.852214 | − | 0.439486i | ||||
\(376\) | 12.0838i | 0.623173i | ||||||||
\(377\) | 6.50120 | 0.334829 | ||||||||
\(378\) | 2.58022 | + | 17.9951i | 0.132712 | + | 0.925569i | ||||
\(379\) | 32.2518i | 1.65666i | 0.560239 | + | 0.828331i | \(0.310709\pi\) | ||||
−0.560239 | + | 0.828331i | \(0.689291\pi\) | |||||||
\(380\) | − | 1.48078i | − | 0.0759624i | ||||||
\(381\) | −14.7545 | − | 7.60886i | −0.755894 | − | 0.389814i | ||||
\(382\) | −11.0408 | −0.564894 | ||||||||
\(383\) | 16.7702i | 0.856918i | 0.903561 | + | 0.428459i | \(0.140943\pi\) | ||||
−0.903561 | + | 0.428459i | \(0.859057\pi\) | |||||||
\(384\) | −7.56165 | + | 14.6629i | −0.385879 | + | 0.748264i | ||||
\(385\) | 15.8233i | 0.806430i | ||||||||
\(386\) | 10.2575 | 0.522091 | ||||||||
\(387\) | 6.75265 | + | 9.48794i | 0.343257 | + | 0.482299i | ||||
\(388\) | − | 1.79658i | − | 0.0912076i | ||||||
\(389\) | 29.9738i | 1.51973i | 0.650080 | + | 0.759866i | \(0.274735\pi\) | ||||
−0.650080 | + | 0.759866i | \(0.725265\pi\) | |||||||
\(390\) | −17.9125 | − | 9.23746i | −0.907036 | − | 0.467757i | ||||
\(391\) | −27.4466 | −1.38803 | ||||||||
\(392\) | 0.782584 | 0.0395264 | ||||||||
\(393\) | −3.55396 | + | 6.89155i | −0.179274 | + | 0.347633i | ||||
\(394\) | 26.6634 | 1.34328 | ||||||||
\(395\) | 15.7908i | 0.794520i | ||||||||
\(396\) | −2.11749 | + | 1.50704i | −0.106408 | + | 0.0757316i | ||||
\(397\) | − | 33.6619i | − | 1.68944i | −0.535208 | − | 0.844720i | \(-0.679767\pi\) | ||
0.535208 | − | 0.844720i | \(-0.320233\pi\) | |||||||
\(398\) | 9.11416 | 0.456851 | ||||||||
\(399\) | −25.2746 | − | 13.0341i | −1.26531 | − | 0.652521i | ||||
\(400\) | −12.0767 | −0.603833 | ||||||||
\(401\) | 10.8161 | 0.540130 | 0.270065 | − | 0.962842i | \(-0.412955\pi\) | ||||
0.270065 | + | 0.962842i | \(0.412955\pi\) | |||||||
\(402\) | −9.14739 | − | 4.71730i | −0.456230 | − | 0.235277i | ||||
\(403\) | − | 68.6454i | − | 3.41947i | ||||||
\(404\) | − | 1.30241i | − | 0.0647974i | ||||||
\(405\) | 10.9139 | + | 3.78363i | 0.542316 | + | 0.188010i | ||||
\(406\) | 3.38236i | 0.167864i | ||||||||
\(407\) | − | 2.17132i | − | 0.107629i | ||||||
\(408\) | 10.3508 | − | 20.0713i | 0.512439 | − | 0.993680i | ||||
\(409\) | 18.9663i | 0.937823i | 0.883245 | + | 0.468911i | \(0.155354\pi\) | ||||
−0.883245 | + | 0.468911i | \(0.844646\pi\) | |||||||
\(410\) | 10.5315i | 0.520114i | ||||||||
\(411\) | −10.7073 | − | 5.52175i | −0.528153 | − | 0.272368i | ||||
\(412\) | 0.0916004 | 0.00451283 | ||||||||
\(413\) | 24.4091 | 1.20109 | ||||||||
\(414\) | −14.5256 | − | 20.4095i | −0.713895 | − | 1.00307i | ||||
\(415\) | −0.280916 | −0.0137896 | ||||||||
\(416\) | 6.91440 | 0.339006 | ||||||||
\(417\) | −10.4594 | + | 20.2820i | −0.512198 | + | 0.993212i | ||||
\(418\) | 40.5253i | 1.98216i | ||||||||
\(419\) | 0.0197728i | 0.000965962i | 1.00000 | 0.000482981i | \(0.000153738\pi\) | |||||
−1.00000 | 0.000482981i | \(0.999846\pi\) | ||||||||
\(420\) | −0.482150 | + | 0.934944i | −0.0235265 | + | 0.0456206i | ||||
\(421\) | 11.6691i | 0.568719i | 0.958718 | + | 0.284359i | \(0.0917809\pi\) | ||||
−0.958718 | + | 0.284359i | \(0.908219\pi\) | |||||||
\(422\) | 16.2041 | − | 10.9978i | 0.788801 | − | 0.535366i | ||||
\(423\) | 10.0382 | − | 7.14427i | 0.488073 | − | 0.347366i | ||||
\(424\) | 34.3802i | 1.66965i | ||||||||
\(425\) | 14.8574 | 0.720688 | ||||||||
\(426\) | −3.41263 | − | 1.75989i | −0.165342 | − | 0.0852668i | ||||
\(427\) | 20.3063 | 0.982690 | ||||||||
\(428\) | − | 1.44114i | − | 0.0696601i | ||||||
\(429\) | −49.1809 | − | 25.3625i | −2.37448 | − | 1.22451i | ||||
\(430\) | − | 6.71702i | − | 0.323924i | ||||||
\(431\) | − | 27.8342i | − | 1.34072i | −0.742034 | − | 0.670362i | \(-0.766139\pi\) | ||
0.742034 | − | 0.670362i | \(-0.233861\pi\) | |||||||
\(432\) | 18.5273 | − | 2.65652i | 0.891394 | − | 0.127812i | ||||
\(433\) | 8.24486 | 0.396223 | 0.198111 | − | 0.980180i | \(-0.436519\pi\) | ||||
0.198111 | + | 0.980180i | \(0.436519\pi\) | |||||||
\(434\) | 35.7139 | 1.71432 | ||||||||
\(435\) | 1.91013 | + | 0.985052i | 0.0915838 | + | 0.0472296i | ||||
\(436\) | 1.21395 | 0.0581375 | ||||||||
\(437\) | 39.1868 | 1.87456 | ||||||||
\(438\) | −0.608413 | + | 1.17978i | −0.0290711 | + | 0.0563723i | ||||
\(439\) | 4.45379i | 0.212568i | 0.994336 | + | 0.106284i | \(0.0338952\pi\) | ||||
−0.994336 | + | 0.106284i | \(0.966105\pi\) | |||||||
\(440\) | 17.9407 | 0.855290 | ||||||||
\(441\) | −0.462686 | − | 0.650105i | −0.0220326 | − | 0.0309574i | ||||
\(442\) | 40.1758 | 1.91097 | ||||||||
\(443\) | 26.2249i | 1.24598i | 0.782228 | + | 0.622992i | \(0.214083\pi\) | ||||
−0.782228 | + | 0.622992i | \(0.785917\pi\) | |||||||
\(444\) | 0.0661622 | − | 0.128296i | 0.00313992 | − | 0.00608867i | ||||
\(445\) | 2.45603i | 0.116427i | ||||||||
\(446\) | − | 3.37935i | − | 0.160017i | ||||||
\(447\) | 18.0116 | − | 34.9267i | 0.851921 | − | 1.65197i | ||||
\(448\) | 22.2919i | 1.05319i | ||||||||
\(449\) | 33.6525 | 1.58816 | 0.794080 | − | 0.607814i | \(-0.207953\pi\) | ||||
0.794080 | + | 0.607814i | \(0.207953\pi\) | |||||||
\(450\) | 7.86300 | + | 11.0480i | 0.370665 | + | 0.520810i | ||||
\(451\) | 28.9155i | 1.36158i | ||||||||
\(452\) | 2.71979i | 0.127928i | ||||||||
\(453\) | −5.77075 | + | 11.1902i | −0.271133 | + | 0.525760i | ||||
\(454\) | 13.4843i | 0.632849i | ||||||||
\(455\) | −22.3968 | −1.04998 | ||||||||
\(456\) | −14.7783 | + | 28.6568i | −0.692056 | + | 1.34198i | ||||
\(457\) | − | 6.22888i | − | 0.291375i | −0.989331 | − | 0.145687i | \(-0.953461\pi\) | ||
0.989331 | − | 0.145687i | \(-0.0465393\pi\) | |||||||
\(458\) | − | 1.87202i | − | 0.0874740i | ||||||
\(459\) | −22.7933 | + | 3.26820i | −1.06390 | + | 0.152547i | ||||
\(460\) | − | 1.44957i | − | 0.0675867i | ||||||
\(461\) | 7.12742 | 0.331957 | 0.165978 | − | 0.986129i | \(-0.446922\pi\) | ||||
0.165978 | + | 0.986129i | \(0.446922\pi\) | |||||||
\(462\) | 13.1953 | − | 25.5872i | 0.613899 | − | 1.19042i | ||||
\(463\) | − | 22.2470i | − | 1.03391i | −0.856014 | − | 0.516953i | \(-0.827066\pi\) | ||
0.856014 | − | 0.516953i | \(-0.172934\pi\) | |||||||
\(464\) | 3.48238 | 0.161665 | ||||||||
\(465\) | 10.4011 | − | 20.1689i | 0.482337 | − | 0.935308i | ||||
\(466\) | 20.5526 | 0.952079 | ||||||||
\(467\) | − | 22.0501i | − | 1.02036i | −0.860068 | − | 0.510179i | \(-0.829579\pi\) | ||
0.860068 | − | 0.510179i | \(-0.170421\pi\) | |||||||
\(468\) | −2.13311 | − | 2.99717i | −0.0986032 | − | 0.138544i | ||||
\(469\) | −11.4374 | −0.528129 | ||||||||
\(470\) | −7.10658 | −0.327802 | ||||||||
\(471\) | −33.1331 | − | 17.0867i | −1.52669 | − | 0.787313i | ||||
\(472\) | − | 27.6754i | − | 1.27386i | ||||||
\(473\) | − | 18.4424i | − | 0.847981i | ||||||
\(474\) | 13.1681 | − | 25.5346i | 0.604833 | − | 1.17284i | ||||
\(475\) | −21.2126 | −0.973299 | ||||||||
\(476\) | − | 2.09698i | − | 0.0961147i | ||||||
\(477\) | 28.5602 | − | 20.3265i | 1.30768 | − | 0.930688i | ||||
\(478\) | 7.90424 | 0.361531 | ||||||||
\(479\) | 24.5814 | 1.12315 | 0.561576 | − | 0.827425i | \(-0.310195\pi\) | ||||
0.561576 | + | 0.827425i | \(0.310195\pi\) | |||||||
\(480\) | 2.03153 | + | 1.04766i | 0.0927264 | + | 0.0478189i | ||||
\(481\) | 3.07336 | 0.140133 | ||||||||
\(482\) | −31.9545 | −1.45549 | ||||||||
\(483\) | −24.7420 | − | 12.7594i | −1.12580 | − | 0.580574i | ||||
\(484\) | 2.11004 | 0.0959108 | ||||||||
\(485\) | 12.6449 | 0.574178 | ||||||||
\(486\) | −14.4932 | − | 15.2196i | −0.657424 | − | 0.690375i | ||||
\(487\) | 42.1017 | 1.90781 | 0.953905 | − | 0.300109i | \(-0.0970230\pi\) | ||||
0.953905 | + | 0.300109i | \(0.0970230\pi\) | |||||||
\(488\) | − | 23.0236i | − | 1.04223i | ||||||
\(489\) | −1.60303 | + | 3.10846i | −0.0724915 | + | 0.140570i | ||||
\(490\) | 0.460244i | 0.0207917i | ||||||||
\(491\) | − | 38.3282i | − | 1.72973i | −0.502006 | − | 0.864864i | \(-0.667404\pi\) | ||
0.502006 | − | 0.864864i | \(-0.332596\pi\) | |||||||
\(492\) | −0.881080 | + | 1.70852i | −0.0397221 | + | 0.0770259i | ||||
\(493\) | −4.28421 | −0.192951 | ||||||||
\(494\) | −57.3609 | −2.58079 | ||||||||
\(495\) | −10.6071 | − | 14.9036i | −0.476752 | − | 0.669868i | ||||
\(496\) | − | 36.7700i | − | 1.65102i | ||||||
\(497\) | −4.26695 | −0.191399 | ||||||||
\(498\) | 0.454257 | + | 0.234260i | 0.0203557 | + | 0.0104974i | ||||
\(499\) | − | 6.25687i | − | 0.280096i | −0.990145 | − | 0.140048i | \(-0.955274\pi\) | ||
0.990145 | − | 0.140048i | \(-0.0447257\pi\) | |||||||
\(500\) | 1.95490i | 0.0874256i | ||||||||
\(501\) | −0.778318 | + | 1.50925i | −0.0347727 | + | 0.0674283i | ||||
\(502\) | −6.25253 | −0.279064 | ||||||||
\(503\) | 2.94307i | 0.131225i | 0.997845 | + | 0.0656124i | \(0.0209001\pi\) | ||||
−0.997845 | + | 0.0656124i | \(0.979100\pi\) | |||||||
\(504\) | 18.6616 | − | 13.2816i | 0.831255 | − | 0.591612i | ||||
\(505\) | 9.16681 | 0.407918 | ||||||||
\(506\) | 39.6713i | 1.76360i | ||||||||
\(507\) | 25.5786 | − | 49.5999i | 1.13599 | − | 2.20281i | ||||
\(508\) | 1.74777i | 0.0775445i | ||||||||
\(509\) | 13.3964i | 0.593786i | 0.954911 | + | 0.296893i | \(0.0959504\pi\) | ||||
−0.954911 | + | 0.296893i | \(0.904050\pi\) | |||||||
\(510\) | 11.8041 | + | 6.08738i | 0.522696 | + | 0.269554i | ||||
\(511\) | 1.47514i | 0.0652562i | ||||||||
\(512\) | 24.8999 | 1.10043 | ||||||||
\(513\) | 32.5430 | − | 4.66616i | 1.43681 | − | 0.206016i | ||||
\(514\) | − | 32.5321i | − | 1.43493i | ||||||
\(515\) | 0.644715i | 0.0284095i | ||||||||
\(516\) | 0.561955 | − | 1.08970i | 0.0247387 | − | 0.0479712i | ||||
\(517\) | −19.5119 | −0.858133 | ||||||||
\(518\) | 1.59897i | 0.0702546i | ||||||||
\(519\) | −17.1557 | − | 8.84716i | −0.753051 | − | 0.388347i | ||||
\(520\) | 25.3939i | 1.11359i | ||||||||
\(521\) | − | 13.1718i | − | 0.577069i | −0.957470 | − | 0.288534i | \(-0.906832\pi\) | ||
0.957470 | − | 0.288534i | \(-0.0931680\pi\) | |||||||
\(522\) | −2.26734 | − | 3.18577i | −0.0992389 | − | 0.139437i | ||||
\(523\) | 6.05354 | 0.264703 | 0.132351 | − | 0.991203i | \(-0.457747\pi\) | ||||
0.132351 | + | 0.991203i | \(0.457747\pi\) | |||||||
\(524\) | 0.816350 | 0.0356624 | ||||||||
\(525\) | 13.3933 | + | 6.90692i | 0.584533 | + | 0.301443i | ||||
\(526\) | 7.28799i | 0.317771i | ||||||||
\(527\) | 45.2365i | 1.97053i | ||||||||
\(528\) | −26.3438 | − | 13.5855i | −1.14647 | − | 0.591232i | ||||
\(529\) | 15.3609 | 0.667867 | ||||||||
\(530\) | −20.2193 | −0.878270 | ||||||||
\(531\) | −22.9904 | + | 16.3625i | −0.997699 | + | 0.710072i | ||||
\(532\) | 2.99395i | 0.129804i | ||||||||
\(533\) | −40.9279 | −1.77278 | ||||||||
\(534\) | 2.04812 | − | 3.97154i | 0.0886307 | − | 0.171865i | ||||
\(535\) | 10.1432 | 0.438530 | ||||||||
\(536\) | 12.9679i | 0.560127i | ||||||||
\(537\) | −6.26396 | − | 3.23032i | −0.270310 | − | 0.139398i | ||||
\(538\) | − | 28.3715i | − | 1.22318i | ||||||
\(539\) | 1.26365i | 0.0544294i | ||||||||
\(540\) | −0.172608 | − | 1.20381i | −0.00742786 | − | 0.0518038i | ||||
\(541\) | −29.3473 | −1.26174 | −0.630871 | − | 0.775888i | \(-0.717302\pi\) | ||||
−0.630871 | + | 0.775888i | \(0.717302\pi\) | |||||||
\(542\) | − | 38.6638i | − | 1.66075i | ||||||
\(543\) | 34.5496 | + | 17.8172i | 1.48267 | + | 0.764609i | ||||
\(544\) | −4.55650 | −0.195359 | ||||||||
\(545\) | 8.54417i | 0.365992i | ||||||||
\(546\) | 36.2169 | + | 18.6770i | 1.54994 | + | 0.799302i | ||||
\(547\) | 26.2283 | 1.12144 | 0.560721 | − | 0.828005i | \(-0.310524\pi\) | ||||
0.560721 | + | 0.828005i | \(0.310524\pi\) | |||||||
\(548\) | 1.26835i | 0.0541814i | ||||||||
\(549\) | −19.1261 | + | 13.6122i | −0.816281 | + | 0.580955i | ||||
\(550\) | − | 21.4748i | − | 0.915691i | ||||||
\(551\) | 6.11677 | 0.260583 | ||||||||
\(552\) | −14.4668 | + | 28.0529i | −0.615749 | + | 1.19401i | ||||
\(553\) | − | 31.9270i | − | 1.35767i | ||||||
\(554\) | 30.2663 | 1.28589 | ||||||||
\(555\) | 0.902991 | + | 0.465671i | 0.0383299 | + | 0.0197667i | ||||
\(556\) | 2.40254 | 0.101890 | ||||||||
\(557\) | −43.0626 | −1.82462 | −0.912310 | − | 0.409500i | \(-0.865703\pi\) | ||||
−0.912310 | + | 0.409500i | \(0.865703\pi\) | |||||||
\(558\) | −33.6382 | + | 23.9406i | −1.42402 | + | 1.01349i | ||||
\(559\) | 26.1039 | 1.10408 | ||||||||
\(560\) | −11.9969 | −0.506961 | ||||||||
\(561\) | 32.4096 | + | 16.7136i | 1.36833 | + | 0.705648i | ||||
\(562\) | − | 11.9954i | − | 0.505994i | ||||||
\(563\) | 43.1095 | 1.81685 | 0.908425 | − | 0.418048i | \(-0.137286\pi\) | ||||
0.908425 | + | 0.418048i | \(0.137286\pi\) | |||||||
\(564\) | −1.15289 | − | 0.594545i | −0.0485455 | − | 0.0250349i | ||||
\(565\) | −19.1428 | −0.805343 | ||||||||
\(566\) | − | 3.20341i | − | 0.134650i | ||||||
\(567\) | −22.0666 | − | 7.65002i | −0.926708 | − | 0.321271i | ||||
\(568\) | 4.83794i | 0.202995i | ||||||||
\(569\) | 29.8330 | 1.25066 | 0.625331 | − | 0.780359i | \(-0.284964\pi\) | ||||
0.625331 | + | 0.780359i | \(0.284964\pi\) | |||||||
\(570\) | −16.8533 | − | 8.69123i | −0.705908 | − | 0.364036i | ||||
\(571\) | 16.6931i | 0.698586i | 0.937014 | + | 0.349293i | \(0.113578\pi\) | ||||
−0.937014 | + | 0.349293i | \(0.886422\pi\) | |||||||
\(572\) | 5.82580i | 0.243589i | ||||||||
\(573\) | 6.50119 | − | 12.6066i | 0.271591 | − | 0.526647i | ||||
\(574\) | − | 21.2934i | − | 0.888770i | ||||||
\(575\) | −20.7655 | −0.865982 | ||||||||
\(576\) | −14.9433 | − | 20.9963i | −0.622636 | − | 0.874845i | ||||
\(577\) | − | 5.28095i | − | 0.219849i | −0.993940 | − | 0.109924i | \(-0.964939\pi\) | ||
0.993940 | − | 0.109924i | \(-0.0350609\pi\) | |||||||
\(578\) | −3.55594 | −0.147908 | ||||||||
\(579\) | −6.03996 | + | 11.7122i | −0.251012 | + | 0.486742i | ||||
\(580\) | − | 0.226268i | − | 0.00939526i | ||||||
\(581\) | 0.567977 | 0.0235636 | ||||||||
\(582\) | −20.4476 | − | 10.5448i | −0.847580 | − | 0.437096i | ||||
\(583\) | −55.5144 | −2.29917 | ||||||||
\(584\) | 1.67253 | 0.0692099 | ||||||||
\(585\) | 21.0951 | − | 15.0136i | 0.872174 | − | 0.620734i | ||||
\(586\) | 23.8087i | 0.983528i | ||||||||
\(587\) | 15.3009 | 0.631535 | 0.315768 | − | 0.948837i | \(-0.397738\pi\) | ||||
0.315768 | + | 0.948837i | \(0.397738\pi\) | |||||||
\(588\) | −0.0385046 | + | 0.0746650i | −0.00158790 | + | 0.00307913i | ||||
\(589\) | − | 64.5863i | − | 2.66123i | ||||||
\(590\) | 16.2762 | 0.670079 | ||||||||
\(591\) | −15.7003 | + | 30.4448i | −0.645826 | + | 1.25233i | ||||
\(592\) | 1.64625 | 0.0676606 | ||||||||
\(593\) | 17.7062i | 0.727108i | 0.931573 | + | 0.363554i | \(0.118437\pi\) | ||||
−0.931573 | + | 0.363554i | \(0.881563\pi\) | |||||||
\(594\) | 4.72386 | + | 32.9454i | 0.193822 | + | 1.35177i | ||||
\(595\) | 14.7592 | 0.605069 | ||||||||
\(596\) | −4.13730 | −0.169470 | ||||||||
\(597\) | −5.36674 | + | 10.4067i | −0.219646 | + | 0.425920i | ||||
\(598\) | −56.1520 | −2.29623 | ||||||||
\(599\) | −43.3788 | −1.77241 | −0.886204 | − | 0.463296i | \(-0.846667\pi\) | ||||
−0.886204 | + | 0.463296i | \(0.846667\pi\) | |||||||
\(600\) | 7.83118 | − | 15.1856i | 0.319707 | − | 0.619948i | ||||
\(601\) | 46.1583 | 1.88284 | 0.941418 | − | 0.337241i | \(-0.109494\pi\) | ||||
0.941418 | + | 0.337241i | \(0.109494\pi\) | |||||||
\(602\) | 13.5810i | 0.553520i | ||||||||
\(603\) | 10.7726 | − | 7.66698i | 0.438695 | − | 0.312223i | ||||
\(604\) | 1.32555 | 0.0539358 | ||||||||
\(605\) | 14.8511i | 0.603785i | ||||||||
\(606\) | −14.8232 | − | 7.64433i | −0.602153 | − | 0.310530i | ||||
\(607\) | 24.5729 | 0.997384 | 0.498692 | − | 0.866779i | \(-0.333814\pi\) | ||||
0.498692 | + | 0.866779i | \(0.333814\pi\) | |||||||
\(608\) | 6.50553 | 0.263834 | ||||||||
\(609\) | −3.86205 | − | 1.99165i | −0.156498 | − | 0.0807059i | ||||
\(610\) | 13.5404 | 0.548234 | ||||||||
\(611\) | − | 27.6178i | − | 1.11730i | ||||||
\(612\) | 1.40570 | + | 1.97510i | 0.0568219 | + | 0.0798386i | ||||
\(613\) | 12.0265i | 0.485744i | 0.970058 | + | 0.242872i | \(0.0780895\pi\) | ||||
−0.970058 | + | 0.242872i | \(0.921910\pi\) | |||||||
\(614\) | 17.9561 | 0.724650 | ||||||||
\(615\) | −12.0251 | − | 6.20133i | −0.484899 | − | 0.250062i | ||||
\(616\) | −36.2739 | −1.46152 | ||||||||
\(617\) | 3.85405 | 0.155158 | 0.0775791 | − | 0.996986i | \(-0.475281\pi\) | ||||
0.0775791 | + | 0.996986i | \(0.475281\pi\) | |||||||
\(618\) | 0.537637 | − | 1.04254i | 0.0216269 | − | 0.0419371i | ||||
\(619\) | 34.1827i | 1.37392i | 0.726696 | + | 0.686959i | \(0.241055\pi\) | ||||
−0.726696 | + | 0.686959i | \(0.758945\pi\) | |||||||
\(620\) | −2.38914 | −0.0959500 | ||||||||
\(621\) | 31.8572 | − | 4.56783i | 1.27838 | − | 0.183301i | ||||
\(622\) | 3.92555i | 0.157400i | ||||||||
\(623\) | − | 4.96579i | − | 0.198950i | ||||||
\(624\) | 19.2293 | − | 37.2879i | 0.769789 | − | 1.49271i | ||||
\(625\) | 3.00442 | 0.120177 | ||||||||
\(626\) | 31.0971i | 1.24289i | ||||||||
\(627\) | −46.2727 | − | 23.8628i | −1.84795 | − | 0.952987i | ||||
\(628\) | 3.92484i | 0.156618i | ||||||||
\(629\) | −2.02531 | −0.0807544 | ||||||||
\(630\) | 7.81105 | + | 10.9751i | 0.311200 | + | 0.437257i | ||||
\(631\) | 0.0878589 | 0.00349761 | 0.00174880 | − | 0.999998i | \(-0.499443\pi\) | ||||
0.00174880 | + | 0.999998i | \(0.499443\pi\) | |||||||
\(632\) | −36.1993 | −1.43993 | ||||||||
\(633\) | 3.01602 | + | 24.9781i | 0.119876 | + | 0.992789i | ||||
\(634\) | −32.5300 | −1.29193 | ||||||||
\(635\) | −12.3014 | −0.488165 | ||||||||
\(636\) | −3.28016 | − | 1.69157i | −0.130067 | − | 0.0670752i | ||||
\(637\) | −1.78862 | −0.0708675 | ||||||||
\(638\) | 6.19240i | 0.245160i | ||||||||
\(639\) | 4.01895 | − | 2.86033i | 0.158987 | − | 0.113153i | ||||
\(640\) | 12.2250i | 0.483237i | ||||||||
\(641\) | −10.9975 | −0.434375 | −0.217188 | − | 0.976130i | \(-0.569688\pi\) | ||||
−0.217188 | + | 0.976130i | \(0.569688\pi\) | |||||||
\(642\) | −16.4022 | − | 8.45857i | −0.647342 | − | 0.333833i | ||||
\(643\) | − | 4.62653i | − | 0.182453i | −0.995830 | − | 0.0912264i | \(-0.970921\pi\) | ||
0.995830 | − | 0.0912264i | \(-0.0290787\pi\) | |||||||
\(644\) | 2.93086i | 0.115492i | ||||||||
\(645\) | 7.66965 | + | 3.95523i | 0.301992 | + | 0.155737i | ||||
\(646\) | 37.8001 | 1.48723 | ||||||||
\(647\) | − | 5.85772i | − | 0.230291i | −0.993349 | − | 0.115145i | \(-0.963267\pi\) | ||
0.993349 | − | 0.115145i | \(-0.0367334\pi\) | |||||||
\(648\) | −8.67372 | + | 25.0194i | −0.340736 | + | 0.982855i | ||||
\(649\) | 44.6881 | 1.75416 | ||||||||
\(650\) | 30.3962 | 1.19224 | ||||||||
\(651\) | −21.0296 | + | 40.7789i | −0.824216 | + | 1.59825i | ||||
\(652\) | 0.368218 | 0.0144205 | ||||||||
\(653\) | − | 1.50673i | − | 0.0589631i | −0.999565 | − | 0.0294815i | \(-0.990614\pi\) | ||
0.999565 | − | 0.0294815i | \(-0.00938562\pi\) | |||||||
\(654\) | 7.12510 | − | 13.8164i | 0.278613 | − | 0.540264i | ||||
\(655\) | 5.74574i | 0.224505i | ||||||||
\(656\) | −21.9231 | −0.855953 | ||||||||
\(657\) | −0.988849 | − | 1.38940i | −0.0385787 | − | 0.0542056i | ||||
\(658\) | 14.3686 | 0.560147 | ||||||||
\(659\) | −1.15558 | −0.0450151 | −0.0225075 | − | 0.999747i | \(-0.507165\pi\) | ||||
−0.0225075 | + | 0.999747i | \(0.507165\pi\) | |||||||
\(660\) | −0.882717 | + | 1.71169i | −0.0343597 | + | 0.0666275i | ||||
\(661\) | − | 28.6849i | − | 1.11571i | −0.829937 | − | 0.557857i | \(-0.811624\pi\) | ||
0.829937 | − | 0.557857i | \(-0.188376\pi\) | |||||||
\(662\) | −16.3051 | −0.633716 | ||||||||
\(663\) | −23.6570 | + | 45.8736i | −0.918760 | + | 1.78158i | ||||
\(664\) | − | 0.643981i | − | 0.0249913i | ||||||
\(665\) | −21.0724 | −0.817154 | ||||||||
\(666\) | −1.07186 | − | 1.50603i | −0.0415337 | − | 0.0583576i | ||||
\(667\) | 5.98787 | 0.231851 | ||||||||
\(668\) | 0.178781 | 0.00691723 | ||||||||
\(669\) | 3.85862 | + | 1.98988i | 0.149183 | + | 0.0769334i | ||||
\(670\) | −7.62652 | −0.294638 | ||||||||
\(671\) | 37.1767 | 1.43519 | ||||||||
\(672\) | −4.10751 | − | 2.11824i | −0.158451 | − | 0.0817128i | ||||
\(673\) | − | 6.71033i | − | 0.258664i | −0.991601 | − | 0.129332i | \(-0.958717\pi\) | ||
0.991601 | − | 0.129332i | \(-0.0412833\pi\) | |||||||
\(674\) | 18.2127 | 0.701527 | ||||||||
\(675\) | −17.2449 | + | 2.47265i | −0.663757 | + | 0.0951725i | ||||
\(676\) | −5.87544 | −0.225979 | ||||||||
\(677\) | 42.0418i | 1.61580i | 0.589321 | + | 0.807899i | \(0.299395\pi\) | ||||
−0.589321 | + | 0.807899i | \(0.700605\pi\) | |||||||
\(678\) | 30.9550 | + | 15.9634i | 1.18882 | + | 0.613072i | ||||
\(679\) | −25.5665 | −0.981153 | ||||||||
\(680\) | − | 16.7342i | − | 0.641729i | ||||||
\(681\) | −15.3967 | − | 7.94003i | −0.590001 | − | 0.304263i | ||||
\(682\) | 65.3849 | 2.50372 | ||||||||
\(683\) | −13.8291 | −0.529156 | −0.264578 | − | 0.964364i | \(-0.585233\pi\) | ||||
−0.264578 | + | 0.964364i | \(0.585233\pi\) | |||||||
\(684\) | −2.00698 | − | 2.81994i | −0.0767387 | − | 0.107823i | ||||
\(685\) | −8.92709 | −0.341087 | ||||||||
\(686\) | − | 25.4206i | − | 0.970564i | ||||||
\(687\) | 2.13752 | + | 1.10232i | 0.0815514 | + | 0.0420560i | ||||
\(688\) | 13.9826 | 0.533082 | ||||||||
\(689\) | − | 78.5768i | − | 2.99354i | ||||||
\(690\) | −16.4982 | − | 8.50807i | −0.628074 | − | 0.323897i | ||||
\(691\) | −20.5121 | −0.780317 | −0.390159 | − | 0.920748i | \(-0.627580\pi\) | ||||
−0.390159 | + | 0.920748i | \(0.627580\pi\) | |||||||
\(692\) | 2.03221i | 0.0772529i | ||||||||
\(693\) | 21.4461 | + | 30.1333i | 0.814672 | + | 1.14467i | ||||
\(694\) | 24.6233i | 0.934686i | ||||||||
\(695\) | 16.9098i | 0.641427i | ||||||||
\(696\) | −2.25817 | + | 4.37885i | −0.0855957 | + | 0.165980i | ||||
\(697\) | 26.9710 | 1.02160 | ||||||||
\(698\) | 4.03702i | 0.152804i | ||||||||
\(699\) | −12.1021 | + | 23.4674i | −0.457743 | + | 0.887617i | ||||
\(700\) | − | 1.58653i | − | 0.0599652i | ||||||
\(701\) | −19.8043 | −0.747999 | −0.373999 | − | 0.927429i | \(-0.622014\pi\) | ||||
−0.373999 | + | 0.927429i | \(0.622014\pi\) | |||||||
\(702\) | −46.6320 | + | 6.68630i | −1.76001 | + | 0.252358i | ||||
\(703\) | 2.89163 | 0.109060 | ||||||||
\(704\) | 40.8119i | 1.53816i | ||||||||
\(705\) | 4.18461 | − | 8.11445i | 0.157601 | − | 0.305608i | ||||
\(706\) | −1.50054 | −0.0564734 | ||||||||
\(707\) | −18.5341 | −0.697048 | ||||||||
\(708\) | 2.64047 | + | 1.36168i | 0.0992348 | + | 0.0511752i | ||||
\(709\) | 5.89064 | 0.221227 | 0.110614 | − | 0.993863i | \(-0.464718\pi\) | ||||
0.110614 | + | 0.993863i | \(0.464718\pi\) | |||||||
\(710\) | −2.84524 | −0.106780 | ||||||||
\(711\) | 21.4021 | + | 30.0714i | 0.802640 | + | 1.12776i | ||||
\(712\) | −5.63029 | −0.211004 | ||||||||
\(713\) | − | 63.2252i | − | 2.36780i | ||||||
\(714\) | −23.8665 | − | 12.3079i | −0.893181 | − | 0.460612i | ||||
\(715\) | −41.0040 | −1.53346 | ||||||||
\(716\) | 0.742008i | 0.0277301i | ||||||||
\(717\) | −4.65430 | + | 9.02523i | −0.173818 | + | 0.337053i | ||||
\(718\) | − | 26.6129i | − | 0.993185i | ||||||
\(719\) | 29.0762 | 1.08436 | 0.542179 | − | 0.840263i | \(-0.317599\pi\) | ||||
0.542179 | + | 0.840263i | \(0.317599\pi\) | |||||||
\(720\) | 11.2996 | − | 8.04204i | 0.421112 | − | 0.299709i | ||||
\(721\) | − | 1.30353i | − | 0.0485461i | ||||||
\(722\) | −28.3532 | −1.05520 | ||||||||
\(723\) | 18.8159 | − | 36.4863i | 0.699773 | − | 1.35694i | ||||
\(724\) | − | 4.09263i | − | 0.152101i | ||||||
\(725\) | −3.24135 | −0.120381 | ||||||||
\(726\) | 12.3846 | − | 24.0151i | 0.459635 | − | 0.891286i | ||||
\(727\) | − | 31.2137i | − | 1.15765i | −0.815451 | − | 0.578826i | \(-0.803511\pi\) | ||
0.815451 | − | 0.578826i | \(-0.196489\pi\) | |||||||
\(728\) | − | 51.3432i | − | 1.90291i | ||||||
\(729\) | 25.9122 | − | 7.58679i | 0.959710 | − | 0.280992i | ||||
\(730\) | 0.983631i | 0.0364058i | ||||||||
\(731\) | −17.2022 | −0.636245 | ||||||||
\(732\) | 2.19664 | + | 1.13281i | 0.0811903 | + | 0.0418697i | ||||
\(733\) | −9.80481 | −0.362149 | −0.181074 | − | 0.983469i | \(-0.557957\pi\) | ||||
−0.181074 | + | 0.983469i | \(0.557957\pi\) | |||||||
\(734\) | 4.93378i | 0.182109i | ||||||||
\(735\) | −0.525517 | − | 0.271008i | −0.0193840 | − | 0.00999630i | ||||
\(736\) | 6.36844 | 0.234744 | ||||||||
\(737\) | −20.9395 | −0.771316 | ||||||||
\(738\) | 14.2739 | + | 20.0558i | 0.525430 | + | 0.738265i | ||||
\(739\) | 30.9787i | 1.13957i | 0.821794 | + | 0.569785i | \(0.192974\pi\) | ||||
−0.821794 | + | 0.569785i | \(0.807026\pi\) | |||||||
\(740\) | − | 0.106965i | − | 0.00393213i | ||||||
\(741\) | 33.7761 | − | 65.4959i | 1.24080 | − | 2.40605i | ||||
\(742\) | 40.8809 | 1.50078 | ||||||||
\(743\) | −1.89005 | −0.0693391 | −0.0346696 | − | 0.999399i | \(-0.511038\pi\) | ||||
−0.0346696 | + | 0.999399i | \(0.511038\pi\) | |||||||
\(744\) | 46.2358 | + | 23.8437i | 1.69509 | + | 0.874154i | ||||
\(745\) | − | 29.1197i | − | 1.06686i | ||||||
\(746\) | − | 0.909114i | − | 0.0332850i | ||||||
\(747\) | −0.534965 | + | 0.380740i | −0.0195734 | + | 0.0139305i | ||||
\(748\) | − | 3.83914i | − | 0.140373i | ||||||
\(749\) | −20.5083 | −0.749358 | ||||||||
\(750\) | 22.2494 | + | 11.4740i | 0.812435 | + | 0.418971i | ||||
\(751\) | 31.6598i | 1.15528i | 0.816290 | + | 0.577642i | \(0.196027\pi\) | ||||
−0.816290 | + | 0.577642i | \(0.803973\pi\) | |||||||
\(752\) | − | 14.7935i | − | 0.539464i | ||||||
\(753\) | 3.68171 | − | 7.13927i | 0.134169 | − | 0.260170i | ||||
\(754\) | −8.76493 | −0.319200 | ||||||||
\(755\) | 9.32966i | 0.339541i | ||||||||
\(756\) | 0.348992 | + | 2.43396i | 0.0126927 | + | 0.0885221i | ||||
\(757\) | 8.27548i | 0.300777i | 0.988627 | + | 0.150389i | \(0.0480525\pi\) | ||||
−0.988627 | + | 0.150389i | \(0.951947\pi\) | |||||||
\(758\) | − | 43.4819i | − | 1.57933i | ||||||
\(759\) | −45.2976 | − | 23.3599i | −1.64420 | − | 0.847910i | ||||
\(760\) | 23.8923i | 0.866663i | ||||||||
\(761\) | 36.3757 | 1.31862 | 0.659309 | − | 0.751872i | \(-0.270849\pi\) | ||||
0.659309 | + | 0.751872i | \(0.270849\pi\) | |||||||
\(762\) | 19.8920 | + | 10.2583i | 0.720611 | + | 0.371618i | ||||
\(763\) | − | 17.2752i | − | 0.625406i | ||||||
\(764\) | −1.49333 | −0.0540269 | ||||||||
\(765\) | −13.9014 | + | 9.89376i | −0.502606 | + | 0.357710i | ||||
\(766\) | − | 22.6096i | − | 0.816919i | ||||||
\(767\) | 63.2529i | 2.28393i | ||||||||
\(768\) | −3.44459 | + | 6.67946i | −0.124296 | + | 0.241024i | ||||
\(769\) | −36.1533 | −1.30372 | −0.651862 | − | 0.758338i | \(-0.726012\pi\) | ||||
−0.651862 | + | 0.758338i | \(0.726012\pi\) | |||||||
\(770\) | − | 21.3330i | − | 0.768788i | ||||||
\(771\) | 37.1459 | + | 19.1561i | 1.33778 | + | 0.689890i | ||||
\(772\) | 1.38739 | 0.0499332 | ||||||||
\(773\) | −19.9411 | −0.717233 | −0.358616 | − | 0.933485i | \(-0.616751\pi\) | ||||
−0.358616 | + | 0.933485i | \(0.616751\pi\) | |||||||
\(774\) | −9.10394 | − | 12.7916i | −0.327234 | − | 0.459786i | ||||
\(775\) | 34.2250i | 1.22940i | ||||||||
\(776\) | 28.9877i | 1.04060i | ||||||||
\(777\) | −1.82574 | − | 0.941530i | −0.0654979 | − | 0.0337772i | ||||
\(778\) | − | 40.4107i | − | 1.44879i | ||||||
\(779\) | −38.5077 | −1.37968 | ||||||||
\(780\) | −2.42278 | − | 1.24943i | −0.0867496 | − | 0.0447367i | ||||
\(781\) | −7.81192 | −0.279532 | ||||||||
\(782\) | 37.0035 | 1.32324 | ||||||||
\(783\) | 4.97268 | − | 0.713005i | 0.177709 | − | 0.0254807i | ||||
\(784\) | −0.958075 | −0.0342170 | ||||||||
\(785\) | −27.6243 | −0.985954 | ||||||||
\(786\) | 4.79146 | − | 9.29120i | 0.170906 | − | 0.331406i | ||||
\(787\) | −6.92225 | −0.246752 | −0.123376 | − | 0.992360i | \(-0.539372\pi\) | ||||
−0.123376 | + | 0.992360i | \(0.539372\pi\) | |||||||
\(788\) | 3.60639 | 0.128472 | ||||||||
\(789\) | −8.32158 | − | 4.29143i | −0.296256 | − | 0.152779i | ||||
\(790\) | − | 21.2891i | − | 0.757434i | ||||||
\(791\) | 38.7043 | 1.37617 | ||||||||
\(792\) | 34.1656 | − | 24.3160i | 1.21402 | − | 0.864031i | ||||
\(793\) | 52.6211i | 1.86863i | ||||||||
\(794\) | 45.3830i | 1.61058i | ||||||||
\(795\) | 11.9058 | − | 23.0868i | 0.422257 | − | 0.818806i | ||||
\(796\) | 1.23275 | 0.0436936 | ||||||||
\(797\) | 8.12779 | 0.287901 | 0.143951 | − | 0.989585i | \(-0.454019\pi\) | ||||
0.143951 | + | 0.989585i | \(0.454019\pi\) | |||||||
\(798\) | 34.0753 | + | 17.5726i | 1.20625 | + | 0.622063i | ||||
\(799\) | 18.1998i | 0.643863i | ||||||||
\(800\) | −3.44736 | −0.121883 | ||||||||
\(801\) | 3.32879 | + | 4.67717i | 0.117617 | + | 0.165260i | ||||
\(802\) | −14.5823 | −0.514918 | ||||||||
\(803\) | 2.70067i | 0.0953047i | ||||||||
\(804\) | −1.23724 | − | 0.638045i | −0.0436342 | − | 0.0225021i | ||||
\(805\) | −20.6283 | −0.727054 | ||||||||
\(806\) | 92.5478i | 3.25986i | ||||||||
\(807\) | 32.3952 | + | 16.7061i | 1.14036 | + | 0.588084i | ||||
\(808\) | 21.0143i | 0.739281i | ||||||||
\(809\) | 38.3793i | 1.34934i | 0.738118 | + | 0.674672i | \(0.235715\pi\) | ||||
−0.738118 | + | 0.674672i | \(0.764285\pi\) | |||||||
\(810\) | −14.7141 | − | 5.10109i | −0.517002 | − | 0.179234i | ||||
\(811\) | 36.0339 | 1.26532 | 0.632660 | − | 0.774429i | \(-0.281963\pi\) | ||||
0.632660 | + | 0.774429i | \(0.281963\pi\) | |||||||
\(812\) | 0.457486i | 0.0160546i | ||||||||
\(813\) | 44.1472 | + | 22.7667i | 1.54831 | + | 0.798462i | ||||
\(814\) | 2.92738i | 0.102605i | ||||||||
\(815\) | 2.59164i | 0.0907813i | ||||||||
\(816\) | −12.6719 | + | 24.5723i | −0.443605 | + | 0.860202i | ||||
\(817\) | 24.5603 | 0.859257 | ||||||||
\(818\) | − | 25.5704i | − | 0.894047i | ||||||
\(819\) | −42.6516 | + | 30.3556i | −1.49037 | + | 1.06071i | ||||
\(820\) | 1.42446i | 0.0497441i | ||||||||
\(821\) | 11.3312i | 0.395463i | 0.980256 | + | 0.197732i | \(0.0633574\pi\) | ||||
−0.980256 | + | 0.197732i | \(0.936643\pi\) | |||||||
\(822\) | 14.4356 | + | 7.44443i | 0.503500 | + | 0.259654i | ||||
\(823\) | 17.0572i | 0.594576i | 0.954788 | + | 0.297288i | \(0.0960821\pi\) | ||||
−0.954788 | + | 0.297288i | \(0.903918\pi\) | |||||||
\(824\) | −1.47797 | −0.0514874 | ||||||||
\(825\) | 24.5205 | + | 12.6452i | 0.853693 | + | 0.440248i | ||||
\(826\) | −32.9084 | −1.14503 | ||||||||
\(827\) | 18.2519i | 0.634680i | 0.948312 | + | 0.317340i | \(0.102790\pi\) | ||||
−0.948312 | + | 0.317340i | \(0.897210\pi\) | |||||||
\(828\) | −1.96468 | − | 2.76051i | −0.0682774 | − | 0.0959344i | ||||
\(829\) | 17.1596 | 0.595978 | 0.297989 | − | 0.954569i | \(-0.403684\pi\) | ||||
0.297989 | + | 0.954569i | \(0.403684\pi\) | |||||||
\(830\) | 0.378731 | 0.0131459 | ||||||||
\(831\) | −17.8219 | + | 34.5587i | −0.618234 | + | 1.19883i | ||||
\(832\) | −57.7665 | −2.00269 | ||||||||
\(833\) | 1.17868 | 0.0408387 | ||||||||
\(834\) | 14.1014 | − | 27.3442i | 0.488290 | − | 0.946852i | ||||
\(835\) | 1.25832i | 0.0435459i | ||||||||
\(836\) | 5.48131i | 0.189575i | ||||||||
\(837\) | −7.52853 | − | 52.5059i | −0.260224 | − | 1.81487i | ||||
\(838\) | − | 0.0266577i | − | 0.000920873i | ||||||
\(839\) | 43.3650 | 1.49713 | 0.748563 | − | 0.663064i | \(-0.230744\pi\) | ||||
0.748563 | + | 0.663064i | \(0.230744\pi\) | |||||||
\(840\) | 7.77945 | − | 15.0853i | 0.268416 | − | 0.520491i | ||||
\(841\) | −28.0653 | −0.967770 | ||||||||
\(842\) | − | 15.7323i | − | 0.542173i | ||||||
\(843\) | 13.6966 | + | 7.06331i | 0.471735 | + | 0.243273i | ||||
\(844\) | 2.19170 | − | 1.48753i | 0.0754415 | − | 0.0512028i | ||||
\(845\) | − | 41.3533i | − | 1.42260i | ||||||
\(846\) | −13.5335 | + | 9.63192i | −0.465291 | + | 0.331152i | ||||
\(847\) | − | 30.0272i | − | 1.03175i | ||||||
\(848\) | − | 42.0898i | − | 1.44537i | ||||||
\(849\) | 3.65773 | + | 1.88629i | 0.125533 | + | 0.0647372i | ||||
\(850\) | −20.0307 | −0.687048 | ||||||||
\(851\) | 2.83069 | 0.0970348 | ||||||||
\(852\) | −0.461580 | − | 0.238036i | −0.0158135 | − | 0.00815498i | ||||
\(853\) | 35.4618 | 1.21419 | 0.607094 | − | 0.794630i | \(-0.292335\pi\) | ||||
0.607094 | + | 0.794630i | \(0.292335\pi\) | |||||||
\(854\) | −27.3770 | −0.936821 | ||||||||
\(855\) | 19.8477 | − | 14.1258i | 0.678776 | − | 0.483091i | ||||
\(856\) | 23.2527i | 0.794760i | ||||||||
\(857\) | 42.2903i | 1.44461i | 0.691575 | + | 0.722305i | \(0.256917\pi\) | ||||
−0.691575 | + | 0.722305i | \(0.743083\pi\) | |||||||
\(858\) | 66.3057 | + | 34.1938i | 2.26364 | + | 1.16736i | ||||
\(859\) | − | 13.9750i | − | 0.476820i | −0.971165 | − | 0.238410i | \(-0.923374\pi\) | ||
0.971165 | − | 0.238410i | \(-0.0766262\pi\) | |||||||
\(860\) | − | 0.908521i | − | 0.0309803i | ||||||
\(861\) | 24.3133 | + | 12.5383i | 0.828595 | + | 0.427305i | ||||
\(862\) | 37.5261i | 1.27814i | ||||||||
\(863\) | 36.2987i | 1.23562i | 0.786326 | + | 0.617812i | \(0.211981\pi\) | ||||
−0.786326 | + | 0.617812i | \(0.788019\pi\) | |||||||
\(864\) | 5.28873 | − | 0.758321i | 0.179926 | − | 0.0257986i | ||||
\(865\) | −14.3033 | −0.486328 | ||||||||
\(866\) | −11.1157 | −0.377728 | ||||||||
\(867\) | 2.09387 | − | 4.06025i | 0.0711114 | − | 0.137893i | ||||
\(868\) | 4.83054 | 0.163959 | ||||||||
\(869\) | − | 58.4518i | − | 1.98284i | ||||||
\(870\) | −2.57524 | − | 1.32805i | −0.0873089 | − | 0.0450251i | ||||
\(871\) | − | 29.6384i | − | 1.00426i | ||||||
\(872\) | −19.5870 | −0.663298 | ||||||||
\(873\) | 24.0806 | − | 17.1384i | 0.815004 | − | 0.580046i | ||||
\(874\) | −52.8316 | −1.78706 | ||||||||
\(875\) | 27.8194 | 0.940468 | ||||||||
\(876\) | −0.0822918 | + | 0.159574i | −0.00278038 | + | 0.00539149i | ||||
\(877\) | − | 30.5831i | − | 1.03272i | −0.856372 | − | 0.516359i | \(-0.827287\pi\) | ||
0.856372 | − | 0.516359i | \(-0.172713\pi\) | |||||||
\(878\) | − | 6.00460i | − | 0.202646i | ||||||
\(879\) | −27.1853 | − | 14.0194i | −0.916937 | − | 0.472863i | ||||
\(880\) | −21.9638 | −0.740401 | ||||||||
\(881\) | 9.41800i | 0.317300i | 0.987335 | + | 0.158650i | \(0.0507142\pi\) | ||||
−0.987335 | + | 0.158650i | \(0.949286\pi\) | |||||||
\(882\) | 0.623793 | + | 0.876472i | 0.0210042 | + | 0.0295124i | ||||
\(883\) | 44.7957i | 1.50749i | 0.657165 | + | 0.753747i | \(0.271756\pi\) | ||||
−0.657165 | + | 0.753747i | \(0.728244\pi\) | |||||||
\(884\) | 5.43404 | 0.182766 | ||||||||
\(885\) | −9.58399 | + | 18.5845i | −0.322162 | + | 0.624711i | ||||
\(886\) | − | 35.3565i | − | 1.18782i | ||||||
\(887\) | − | 39.3694i | − | 1.32190i | −0.750432 | − | 0.660948i | \(-0.770155\pi\) | ||
0.750432 | − | 0.660948i | \(-0.229845\pi\) | |||||||
\(888\) | −1.06752 | + | 2.07005i | −0.0358237 | + | 0.0694663i | ||||
\(889\) | 24.8718 | 0.834174 | ||||||||
\(890\) | − | 3.31122i | − | 0.110992i | ||||||
\(891\) | −40.3993 | − | 14.0056i | −1.35343 | − | 0.469206i | ||||
\(892\) | − | 0.457079i | − | 0.0153041i | ||||||
\(893\) | − | 25.9847i | − | 0.869545i | ||||||
\(894\) | −24.2833 | + | 47.0882i | −0.812155 | + | 1.57486i | ||||
\(895\) | −5.22250 | −0.174569 | ||||||||
\(896\) | − | 24.7175i | − | 0.825754i | ||||||
\(897\) | 33.0643 | − | 64.1156i | 1.10399 | − | 2.14076i | ||||
\(898\) | −45.3703 | −1.51403 | ||||||||
\(899\) | − | 9.86899i | − | 0.329149i | ||||||
\(900\) | 1.06352 | + | 1.49432i | 0.0354507 | + | 0.0498106i | ||||
\(901\) | 51.7812i | 1.72508i | ||||||||
\(902\) | − | 38.9839i | − | 1.29802i | ||||||
\(903\) | −15.5071 | − | 7.99698i | −0.516043 | − | 0.266123i | ||||
\(904\) | − | 43.8836i | − | 1.45955i | ||||||
\(905\) | 28.8053 | 0.957521 | ||||||||
\(906\) | 7.78013 | − | 15.0866i | 0.258478 | − | 0.501218i | ||||
\(907\) | − | 39.7977i | − | 1.32146i | −0.750624 | − | 0.660730i | \(-0.770247\pi\) | ||
0.750624 | − | 0.660730i | \(-0.229753\pi\) | |||||||
\(908\) | 1.82384i | 0.0605261i | ||||||||
\(909\) | 17.4569 | − | 12.4243i | 0.579010 | − | 0.412086i | ||||
\(910\) | 30.1954 | 1.00097 | ||||||||
\(911\) | 5.35642 | 0.177466 | 0.0887331 | − | 0.996055i | \(-0.471718\pi\) | ||||
0.0887331 | + | 0.996055i | \(0.471718\pi\) | |||||||
\(912\) | 18.0923 | − | 35.0830i | 0.599094 | − | 1.16171i | ||||
\(913\) | 1.03985 | 0.0344140 | ||||||||
\(914\) | 8.39778i | 0.277774i | ||||||||
\(915\) | −7.97307 | + | 15.4607i | −0.263581 | + | 0.511115i | ||||
\(916\) | − | 0.253203i | − | 0.00836607i | ||||||
\(917\) | − | 11.6172i | − | 0.383633i | ||||||
\(918\) | 30.7299 | − | 4.40619i | 1.01424 | − | 0.145426i | ||||
\(919\) | − | 22.9673i | − | 0.757620i | −0.925474 | − | 0.378810i | \(-0.876333\pi\) | ||
0.925474 | − | 0.378810i | \(-0.123667\pi\) | |||||||
\(920\) | 23.3888i | 0.771104i | ||||||||
\(921\) | −10.5732 | + | 20.5027i | −0.348399 | + | 0.675587i | ||||
\(922\) | −9.60919 | −0.316462 | ||||||||
\(923\) | − | 11.0572i | − | 0.363954i | ||||||
\(924\) | 1.78474 | − | 3.46083i | 0.0587138 | − | 0.113853i | ||||
\(925\) | −1.53231 | −0.0503820 | ||||||||
\(926\) | 29.9935i | 0.985646i | ||||||||
\(927\) | 0.873816 | + | 1.22777i | 0.0286999 | + | 0.0403253i | ||||
\(928\) | 0.994067 | 0.0326318 | ||||||||
\(929\) | −33.5778 | −1.10165 | −0.550825 | − | 0.834620i | \(-0.685687\pi\) | ||||
−0.550825 | + | 0.834620i | \(0.685687\pi\) | |||||||
\(930\) | −14.0227 | + | 27.1917i | −0.459823 | + | 0.891650i | ||||
\(931\) | −1.68285 | −0.0551532 | ||||||||
\(932\) | 2.77987 | 0.0910576 | ||||||||
\(933\) | −4.48227 | − | 2.31150i | −0.146743 | − | 0.0756752i | ||||
\(934\) | 29.7280i | 0.972730i | ||||||||
\(935\) | 27.0211 | 0.883685 | ||||||||
\(936\) | 34.4176 | + | 48.3591i | 1.12498 | + | 1.58067i | ||||
\(937\) | −37.4331 | −1.22289 | −0.611443 | − | 0.791289i | \(-0.709411\pi\) | ||||
−0.611443 | + | 0.791289i | \(0.709411\pi\) | |||||||
\(938\) | 15.4199 | 0.503477 | ||||||||
\(939\) | −35.5074 | − | 18.3111i | −1.15874 | − | 0.597561i | ||||
\(940\) | −0.961210 | −0.0313512 | ||||||||
\(941\) | −29.9196 | −0.975352 | −0.487676 | − | 0.873025i | \(-0.662155\pi\) | ||||
−0.487676 | + | 0.873025i | \(0.662155\pi\) | |||||||
\(942\) | 44.6701 | + | 23.0363i | 1.45543 | + | 0.750563i | ||||
\(943\) | −37.6962 | −1.22756 | ||||||||
\(944\) | 33.8816i | 1.10275i | ||||||||
\(945\) | −17.1310 | + | 2.45632i | −0.557271 | + | 0.0799041i | ||||
\(946\) | 24.8640i | 0.808399i | ||||||||
\(947\) | − | 34.5594i | − | 1.12303i | −0.827466 | − | 0.561515i | \(-0.810219\pi\) | ||
0.827466 | − | 0.561515i | \(-0.189781\pi\) | |||||||
\(948\) | 1.78108 | − | 3.45372i | 0.0578467 | − | 0.112172i | ||||
\(949\) | −3.82262 | −0.124087 | ||||||||
\(950\) | 28.5988 | 0.927868 | ||||||||
\(951\) | 19.1548 | − | 37.1435i | 0.621138 | − | 1.20446i | ||||
\(952\) | 33.8346i | 1.09658i | ||||||||
\(953\) | − | 16.7854i | − | 0.543731i | −0.962335 | − | 0.271866i | \(-0.912359\pi\) | ||
0.962335 | − | 0.271866i | \(-0.0876406\pi\) | |||||||
\(954\) | −38.5049 | + | 27.4043i | −1.24664 | + | 0.887246i | ||||
\(955\) | − | 10.5106i | − | 0.340114i | ||||||
\(956\) | 1.06910 | 0.0345771 | ||||||||
\(957\) | −7.07062 | − | 3.64631i | −0.228561 | − | 0.117868i | ||||
\(958\) | −33.1407 | −1.07073 | ||||||||
\(959\) | 18.0495 | 0.582848 | ||||||||
\(960\) | −16.9725 | − | 8.75270i | −0.547785 | − | 0.282492i | ||||
\(961\) | −73.2055 | −2.36147 | ||||||||
\(962\) | −4.14351 | −0.133592 | ||||||||
\(963\) | 19.3164 | − | 13.7476i | 0.622461 | − | 0.443011i | ||||
\(964\) | −4.32205 | −0.139204 | ||||||||
\(965\) | 9.76489i | 0.314343i | ||||||||
\(966\) | 33.3572 | + | 17.2023i | 1.07325 | + | 0.553474i | ||||
\(967\) | 27.4381 | 0.882349 | 0.441174 | − | 0.897421i | \(-0.354562\pi\) | ||||
0.441174 | + | 0.897421i | \(0.354562\pi\) | |||||||
\(968\) | −34.0453 | −1.09426 | ||||||||
\(969\) | −22.2581 | + | 43.1610i | −0.715032 | + | 1.38653i | ||||
\(970\) | −17.0479 | −0.547376 | ||||||||
\(971\) | 27.1508 | 0.871311 | 0.435655 | − | 0.900114i | \(-0.356517\pi\) | ||||
0.435655 | + | 0.900114i | \(0.356517\pi\) | |||||||
\(972\) | −1.96030 | − | 2.05855i | −0.0628765 | − | 0.0660280i | ||||
\(973\) | − | 34.1896i | − | 1.09607i | ||||||
\(974\) | −56.7616 | −1.81876 | ||||||||
\(975\) | −17.8984 | + | 34.7070i | −0.573207 | + | 1.11151i | ||||
\(976\) | 28.1866i | 0.902230i | ||||||||
\(977\) | −31.2464 | −0.999661 | −0.499830 | − | 0.866123i | \(-0.666604\pi\) | ||||
−0.499830 | + | 0.866123i | \(0.666604\pi\) | |||||||
\(978\) | 2.16121 | − | 4.19083i | 0.0691078 | − | 0.134008i | ||||
\(979\) | − | 9.09134i | − | 0.290561i | ||||||
\(980\) | 0.0622510i | 0.00198854i | ||||||||
\(981\) | 11.5804 | + | 16.2712i | 0.369732 | + | 0.519499i | ||||
\(982\) | 51.6742i | 1.64899i | ||||||||
\(983\) | 43.5390i | 1.38868i | 0.719647 | + | 0.694340i | \(0.244304\pi\) | ||||
−0.719647 | + | 0.694340i | \(0.755696\pi\) | |||||||
\(984\) | 14.2162 | − | 27.5668i | 0.453195 | − | 0.878797i | ||||
\(985\) | 25.3830i | 0.808769i | ||||||||
\(986\) | 5.77598 | 0.183945 | ||||||||
\(987\) | −8.46076 | + | 16.4064i | −0.269309 | + | 0.522222i | ||||
\(988\) | −7.75843 | −0.246828 | ||||||||
\(989\) | 24.0427 | 0.764515 | ||||||||
\(990\) | 14.3004 | + | 20.0931i | 0.454498 | + | 0.638601i | ||||
\(991\) | 12.6996i | 0.403415i | 0.979446 | + | 0.201708i | \(0.0646491\pi\) | ||||
−0.979446 | + | 0.201708i | \(0.935351\pi\) | |||||||
\(992\) | − | 10.4962i | − | 0.333256i | ||||||
\(993\) | 9.60104 | − | 18.6175i | 0.304680 | − | 0.590810i | ||||
\(994\) | 5.75271 | 0.182465 | ||||||||
\(995\) | 8.67650i | 0.275063i | ||||||||
\(996\) | 0.0614412 | + | 0.0316851i | 0.00194684 | + | 0.00100398i | ||||
\(997\) | 51.4797i | 1.63038i | 0.579196 | + | 0.815188i | \(0.303367\pi\) | ||||
−0.579196 | + | 0.815188i | \(0.696633\pi\) | |||||||
\(998\) | 8.43553i | 0.267022i | ||||||||
\(999\) | 2.35077 | − | 0.337064i | 0.0743751 | − | 0.0106642i |
(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 | 633.2.d.a.632.19 | ✓ | 68 | |
3.2 | odd | 2 | inner | 633.2.d.a.632.49 | yes | 68 | |
211.210 | odd | 2 | inner | 633.2.d.a.632.50 | yes | 68 | |
633.632 | even | 2 | inner | 633.2.d.a.632.20 | yes | 68 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
633.2.d.a.632.19 | ✓ | 68 | 1.1 | even | 1 | trivial | |
633.2.d.a.632.20 | yes | 68 | 633.632 | even | 2 | inner | |
633.2.d.a.632.49 | yes | 68 | 3.2 | odd | 2 | inner | |
633.2.d.a.632.50 | yes | 68 | 211.210 | odd | 2 | inner |