Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [585,2,Mod(196,585)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(585, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("585.196");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 585 = 3^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 585.i (of order \(3\), degree \(2\), 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: | \(4.67124851824\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(15\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 196.2 | ||
Character | \(\chi\) | \(=\) | 585.196 |
Dual form | 585.2.i.h.391.2 |
$q$-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 \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) | \(496\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.26000 | + | 2.18239i | −0.890955 | + | 1.54318i | −0.0522229 | + | 0.998635i | \(0.516631\pi\) |
−0.838732 | + | 0.544544i | \(0.816703\pi\) | |||||||
\(3\) | −1.67966 | + | 0.422782i | −0.969752 | + | 0.244093i | ||||
\(4\) | −2.17520 | − | 3.76756i | −1.08760 | − | 1.88378i | ||||
\(5\) | 0.500000 | + | 0.866025i | 0.223607 | + | 0.387298i | ||||
\(6\) | 1.19370 | − | 4.19837i | 0.487326 | − | 1.71398i | ||||
\(7\) | −1.50610 | + | 2.60865i | −0.569254 | + | 0.985976i | 0.427386 | + | 0.904069i | \(0.359434\pi\) |
−0.996640 | + | 0.0819073i | \(0.973899\pi\) | |||||||
\(8\) | 5.92303 | 2.09411 | ||||||||
\(9\) | 2.64251 | − | 1.42026i | 0.880837 | − | 0.473419i | ||||
\(10\) | −2.52000 | −0.796894 | ||||||||
\(11\) | 2.87407 | − | 4.97804i | 0.866565 | − | 1.50094i | 0.00108088 | − | 0.999999i | \(-0.499656\pi\) |
0.865484 | − | 0.500936i | \(-0.167011\pi\) | |||||||
\(12\) | 5.24646 | + | 5.40859i | 1.51452 | + | 1.56132i | ||||
\(13\) | −0.500000 | − | 0.866025i | −0.138675 | − | 0.240192i | ||||
\(14\) | −3.79538 | − | 6.57380i | −1.01436 | − | 1.75692i | ||||
\(15\) | −1.20597 | − | 1.24324i | −0.311380 | − | 0.321002i | ||||
\(16\) | −3.11262 | + | 5.39121i | −0.778154 | + | 1.34780i | ||||
\(17\) | 5.46275 | 1.32491 | 0.662456 | − | 0.749101i | \(-0.269514\pi\) | ||||
0.662456 | + | 0.749101i | \(0.269514\pi\) | |||||||
\(18\) | −0.230017 | + | 7.55650i | −0.0542154 | + | 1.78109i | ||||
\(19\) | 5.89643 | 1.35273 | 0.676367 | − | 0.736565i | \(-0.263553\pi\) | ||||
0.676367 | + | 0.736565i | \(0.263553\pi\) | |||||||
\(20\) | 2.17520 | − | 3.76756i | 0.486390 | − | 0.842453i | ||||
\(21\) | 1.42685 | − | 5.01839i | 0.311365 | − | 1.09510i | ||||
\(22\) | 7.24267 | + | 12.5447i | 1.54414 | + | 2.67453i | ||||
\(23\) | −4.19558 | − | 7.26696i | −0.874840 | − | 1.51527i | −0.856933 | − | 0.515427i | \(-0.827633\pi\) |
−0.0179064 | − | 0.999840i | \(-0.505700\pi\) | |||||||
\(24\) | −9.94868 | + | 2.50415i | −2.03077 | + | 0.511157i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | 2.52000 | 0.494213 | ||||||||
\(27\) | −3.83806 | + | 3.50275i | −0.738635 | + | 0.674105i | ||||
\(28\) | 13.1043 | 2.47649 | ||||||||
\(29\) | −1.68740 | + | 2.92266i | −0.313342 | + | 0.542724i | −0.979084 | − | 0.203458i | \(-0.934782\pi\) |
0.665742 | + | 0.746182i | \(0.268115\pi\) | |||||||
\(30\) | 4.23274 | − | 1.06541i | 0.772790 | − | 0.194516i | ||||
\(31\) | 2.14772 | + | 3.71995i | 0.385741 | + | 0.668123i | 0.991872 | − | 0.127242i | \(-0.0406124\pi\) |
−0.606131 | + | 0.795365i | \(0.707279\pi\) | |||||||
\(32\) | −1.92077 | − | 3.32687i | −0.339547 | − | 0.588113i | ||||
\(33\) | −2.72284 | + | 9.57651i | −0.473986 | + | 1.66706i | ||||
\(34\) | −6.88307 | + | 11.9218i | −1.18044 | + | 2.04458i | ||||
\(35\) | −3.01221 | −0.509156 | ||||||||
\(36\) | −11.0989 | − | 6.86648i | −1.84982 | − | 1.14441i | ||||
\(37\) | −4.29747 | −0.706500 | −0.353250 | − | 0.935529i | \(-0.614923\pi\) | ||||
−0.353250 | + | 0.935529i | \(0.614923\pi\) | |||||||
\(38\) | −7.42951 | + | 12.8683i | −1.20523 | + | 2.08751i | ||||
\(39\) | 1.20597 | + | 1.24324i | 0.193110 | + | 0.199077i | ||||
\(40\) | 2.96152 | + | 5.12950i | 0.468257 | + | 0.811045i | ||||
\(41\) | 3.28126 | + | 5.68331i | 0.512447 | + | 0.887585i | 0.999896 | + | 0.0144329i | \(0.00459429\pi\) |
−0.487449 | + | 0.873152i | \(0.662072\pi\) | |||||||
\(42\) | 9.15423 | + | 9.43712i | 1.41253 | + | 1.45618i | ||||
\(43\) | 0.327030 | − | 0.566432i | 0.0498716 | − | 0.0863801i | −0.840012 | − | 0.542568i | \(-0.817452\pi\) |
0.889884 | + | 0.456188i | \(0.150785\pi\) | |||||||
\(44\) | −25.0068 | −3.76991 | ||||||||
\(45\) | 2.55124 | + | 1.57835i | 0.380316 | + | 0.235287i | ||||
\(46\) | 21.1458 | 3.11777 | ||||||||
\(47\) | 5.20502 | − | 9.01537i | 0.759231 | − | 1.31503i | −0.184012 | − | 0.982924i | \(-0.558909\pi\) |
0.943243 | − | 0.332103i | \(-0.107758\pi\) | |||||||
\(48\) | 2.94883 | − | 10.3714i | 0.425627 | − | 1.49698i | ||||
\(49\) | −1.03670 | − | 1.79561i | −0.148100 | − | 0.256516i | ||||
\(50\) | −1.26000 | − | 2.18239i | −0.178191 | − | 0.308636i | ||||
\(51\) | −9.17556 | + | 2.30955i | −1.28484 | + | 0.323402i | ||||
\(52\) | −2.17520 | + | 3.76756i | −0.301647 | + | 0.522467i | ||||
\(53\) | 6.03463 | 0.828920 | 0.414460 | − | 0.910068i | \(-0.363970\pi\) | ||||
0.414460 | + | 0.910068i | \(0.363970\pi\) | |||||||
\(54\) | −2.80840 | − | 12.7896i | −0.382175 | − | 1.74044i | ||||
\(55\) | 5.74814 | 0.775080 | ||||||||
\(56\) | −8.92070 | + | 15.4511i | −1.19208 | + | 2.06474i | ||||
\(57\) | −9.90399 | + | 2.49290i | −1.31182 | + | 0.330193i | ||||
\(58\) | −4.25224 | − | 7.36510i | −0.558347 | − | 0.967085i | ||||
\(59\) | −3.77936 | − | 6.54605i | −0.492031 | − | 0.852223i | 0.507927 | − | 0.861400i | \(-0.330412\pi\) |
−0.999958 | + | 0.00917755i | \(0.997079\pi\) | |||||||
\(60\) | −2.06075 | + | 7.24786i | −0.266041 | + | 0.935695i | ||||
\(61\) | −3.01078 | + | 5.21482i | −0.385490 | + | 0.667689i | −0.991837 | − | 0.127512i | \(-0.959301\pi\) |
0.606347 | + | 0.795200i | \(0.292634\pi\) | |||||||
\(62\) | −10.8245 | −1.37471 | ||||||||
\(63\) | −0.274943 | + | 9.03244i | −0.0346396 | + | 1.13798i | ||||
\(64\) | −2.76979 | −0.346224 | ||||||||
\(65\) | 0.500000 | − | 0.866025i | 0.0620174 | − | 0.107417i | ||||
\(66\) | −17.4689 | − | 18.0087i | −2.15027 | − | 2.21672i | ||||
\(67\) | −2.84821 | − | 4.93325i | −0.347965 | − | 0.602693i | 0.637923 | − | 0.770100i | \(-0.279794\pi\) |
−0.985888 | + | 0.167407i | \(0.946460\pi\) | |||||||
\(68\) | −11.8826 | − | 20.5813i | −1.44098 | − | 2.49584i | ||||
\(69\) | 10.1195 | + | 10.4322i | 1.21824 | + | 1.25589i | ||||
\(70\) | 3.79538 | − | 6.57380i | 0.453635 | − | 0.785719i | ||||
\(71\) | 2.00130 | 0.237511 | 0.118755 | − | 0.992924i | \(-0.462110\pi\) | ||||
0.118755 | + | 0.992924i | \(0.462110\pi\) | |||||||
\(72\) | 15.6517 | − | 8.41223i | 1.84457 | − | 0.991391i | ||||
\(73\) | 12.4518 | 1.45738 | 0.728689 | − | 0.684845i | \(-0.240130\pi\) | ||||
0.728689 | + | 0.684845i | \(0.240130\pi\) | |||||||
\(74\) | 5.41482 | − | 9.37874i | 0.629460 | − | 1.09026i | ||||
\(75\) | 0.473690 | − | 1.66602i | 0.0546970 | − | 0.192375i | ||||
\(76\) | −12.8259 | − | 22.2152i | −1.47124 | − | 2.54826i | ||||
\(77\) | 8.65730 | + | 14.9949i | 0.986591 | + | 1.70883i | ||||
\(78\) | −4.23274 | + | 1.06541i | −0.479264 | + | 0.120634i | ||||
\(79\) | −6.82366 | + | 11.8189i | −0.767721 | + | 1.32973i | 0.171074 | + | 0.985258i | \(0.445276\pi\) |
−0.938796 | + | 0.344474i | \(0.888057\pi\) | |||||||
\(80\) | −6.22524 | −0.696002 | ||||||||
\(81\) | 4.96574 | − | 7.50610i | 0.551748 | − | 0.834011i | ||||
\(82\) | −16.5376 | −1.82627 | ||||||||
\(83\) | 3.08125 | − | 5.33688i | 0.338211 | − | 0.585799i | −0.645885 | − | 0.763434i | \(-0.723512\pi\) |
0.984096 | + | 0.177636i | \(0.0568449\pi\) | |||||||
\(84\) | −22.0108 | + | 5.54027i | −2.40158 | + | 0.604493i | ||||
\(85\) | 2.73138 | + | 4.73088i | 0.296259 | + | 0.513136i | ||||
\(86\) | 0.824115 | + | 1.42741i | 0.0888666 | + | 0.153922i | ||||
\(87\) | 1.59861 | − | 5.62247i | 0.171389 | − | 0.602792i | ||||
\(88\) | 17.0232 | − | 29.4851i | 1.81468 | − | 3.14312i | ||||
\(89\) | 2.25804 | 0.239351 | 0.119676 | − | 0.992813i | \(-0.461815\pi\) | ||||
0.119676 | + | 0.992813i | \(0.461815\pi\) | |||||||
\(90\) | −6.65913 | + | 3.57905i | −0.701934 | + | 0.377265i | ||||
\(91\) | 3.01221 | 0.315765 | ||||||||
\(92\) | −18.2525 | + | 31.6143i | −1.90295 | + | 3.29601i | ||||
\(93\) | −5.18016 | − | 5.34024i | −0.537157 | − | 0.553757i | ||||
\(94\) | 13.1167 | + | 22.7187i | 1.35288 | + | 2.34326i | ||||
\(95\) | 2.94822 | + | 5.10646i | 0.302480 | + | 0.523912i | ||||
\(96\) | 4.63278 | + | 4.77594i | 0.472831 | + | 0.487443i | ||||
\(97\) | −3.12468 | + | 5.41211i | −0.317263 | + | 0.549516i | −0.979916 | − | 0.199411i | \(-0.936097\pi\) |
0.662653 | + | 0.748927i | \(0.269431\pi\) | |||||||
\(98\) | 5.22496 | 0.527801 | ||||||||
\(99\) | 0.524670 | − | 17.2364i | 0.0527313 | − | 1.73233i | ||||
\(100\) | 4.35041 | 0.435041 | ||||||||
\(101\) | 2.97789 | − | 5.15786i | 0.296311 | − | 0.513226i | −0.678978 | − | 0.734159i | \(-0.737577\pi\) |
0.975289 | + | 0.220933i | \(0.0709101\pi\) | |||||||
\(102\) | 6.52089 | − | 22.9346i | 0.645664 | − | 2.27087i | ||||
\(103\) | 3.18407 | + | 5.51497i | 0.313736 | + | 0.543406i | 0.979168 | − | 0.203052i | \(-0.0650861\pi\) |
−0.665432 | + | 0.746458i | \(0.731753\pi\) | |||||||
\(104\) | −2.96152 | − | 5.12950i | −0.290401 | − | 0.502989i | ||||
\(105\) | 5.05948 | − | 1.27351i | 0.493755 | − | 0.124281i | ||||
\(106\) | −7.60364 | + | 13.1699i | −0.738531 | + | 1.27917i | ||||
\(107\) | 12.7993 | 1.23735 | 0.618675 | − | 0.785647i | \(-0.287670\pi\) | ||||
0.618675 | + | 0.785647i | \(0.287670\pi\) | |||||||
\(108\) | 21.5454 | + | 6.84093i | 2.07321 | + | 0.658269i | ||||
\(109\) | 9.44687 | 0.904846 | 0.452423 | − | 0.891804i | \(-0.350560\pi\) | ||||
0.452423 | + | 0.891804i | \(0.350560\pi\) | |||||||
\(110\) | −7.24267 | + | 12.5447i | −0.690561 | + | 1.19609i | ||||
\(111\) | 7.21829 | − | 1.81689i | 0.685129 | − | 0.172452i | ||||
\(112\) | −9.37585 | − | 16.2395i | −0.885935 | − | 1.53448i | ||||
\(113\) | 6.83370 | + | 11.8363i | 0.642860 | + | 1.11347i | 0.984791 | + | 0.173742i | \(0.0555858\pi\) |
−0.341931 | + | 0.939725i | \(0.611081\pi\) | |||||||
\(114\) | 7.03857 | − | 24.7554i | 0.659222 | − | 2.31855i | ||||
\(115\) | 4.19558 | − | 7.26696i | 0.391240 | − | 0.677648i | ||||
\(116\) | 14.6817 | 1.36316 | ||||||||
\(117\) | −2.55124 | − | 1.57835i | −0.235862 | − | 0.145919i | ||||
\(118\) | 19.0480 | 1.75351 | ||||||||
\(119\) | −8.22747 | + | 14.2504i | −0.754211 | + | 1.30633i | ||||
\(120\) | −7.14300 | − | 7.36373i | −0.652063 | − | 0.672214i | ||||
\(121\) | −11.0206 | − | 19.0882i | −1.00187 | − | 1.73529i | ||||
\(122\) | −7.58716 | − | 13.1413i | −0.686909 | − | 1.18976i | ||||
\(123\) | −7.91420 | − | 8.15877i | −0.713600 | − | 0.735652i | ||||
\(124\) | 9.34344 | − | 16.1833i | 0.839066 | − | 1.45330i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | −19.3658 | − | 11.9809i | −1.72525 | − | 1.06734i | ||||
\(127\) | 4.37449 | 0.388173 | 0.194086 | − | 0.980984i | \(-0.437826\pi\) | ||||
0.194086 | + | 0.980984i | \(0.437826\pi\) | |||||||
\(128\) | 7.33147 | − | 12.6985i | 0.648017 | − | 1.12240i | ||||
\(129\) | −0.309821 | + | 1.08967i | −0.0272783 | + | 0.0959405i | ||||
\(130\) | 1.26000 | + | 2.18239i | 0.110509 | + | 0.191408i | ||||
\(131\) | 6.63317 | + | 11.4890i | 0.579542 | + | 1.00380i | 0.995532 | + | 0.0944275i | \(0.0301021\pi\) |
−0.415989 | + | 0.909370i | \(0.636565\pi\) | |||||||
\(132\) | 42.0029 | − | 10.5724i | 3.65588 | − | 0.920209i | ||||
\(133\) | −8.88064 | + | 15.3817i | −0.770049 | + | 1.33376i | ||||
\(134\) | 14.3550 | 1.24008 | ||||||||
\(135\) | −4.95250 | − | 1.57248i | −0.426244 | − | 0.135338i | ||||
\(136\) | 32.3560 | 2.77451 | ||||||||
\(137\) | 5.31072 | − | 9.19844i | 0.453725 | − | 0.785876i | −0.544888 | − | 0.838509i | \(-0.683428\pi\) |
0.998614 | + | 0.0526330i | \(0.0167613\pi\) | |||||||
\(138\) | −35.5177 | + | 8.94003i | −3.02346 | + | 0.761026i | ||||
\(139\) | −2.22628 | − | 3.85603i | −0.188831 | − | 0.327064i | 0.756030 | − | 0.654537i | \(-0.227136\pi\) |
−0.944861 | + | 0.327473i | \(0.893803\pi\) | |||||||
\(140\) | 6.55217 | + | 11.3487i | 0.553759 | + | 0.959139i | ||||
\(141\) | −4.93114 | + | 17.3433i | −0.415277 | + | 1.46057i | ||||
\(142\) | −2.52164 | + | 4.36761i | −0.211612 | + | 0.366522i | ||||
\(143\) | −5.74814 | −0.480684 | ||||||||
\(144\) | −0.568217 | + | 18.6671i | −0.0473514 | + | 1.55559i | ||||
\(145\) | −3.37479 | −0.280261 | ||||||||
\(146\) | −15.6893 | + | 27.1747i | −1.29846 | + | 2.24899i | ||||
\(147\) | 2.50045 | + | 2.57772i | 0.206234 | + | 0.212607i | ||||
\(148\) | 9.34788 | + | 16.1910i | 0.768391 | + | 1.33089i | ||||
\(149\) | 8.18081 | + | 14.1696i | 0.670198 | + | 1.16082i | 0.977848 | + | 0.209318i | \(0.0671242\pi\) |
−0.307650 | + | 0.951500i | \(0.599542\pi\) | |||||||
\(150\) | 3.03904 | + | 3.13296i | 0.248137 | + | 0.255805i | ||||
\(151\) | 2.99210 | − | 5.18246i | 0.243493 | − | 0.421743i | −0.718214 | − | 0.695823i | \(-0.755040\pi\) |
0.961707 | + | 0.274080i | \(0.0883733\pi\) | |||||||
\(152\) | 34.9247 | 2.83277 | ||||||||
\(153\) | 14.4354 | − | 7.75851i | 1.16703 | − | 0.627239i | ||||
\(154\) | −43.6328 | −3.51603 | ||||||||
\(155\) | −2.14772 | + | 3.71995i | −0.172509 | + | 0.298794i | ||||
\(156\) | 2.06075 | − | 7.24786i | 0.164992 | − | 0.580293i | ||||
\(157\) | −3.11451 | − | 5.39449i | −0.248565 | − | 0.430527i | 0.714563 | − | 0.699571i | \(-0.246626\pi\) |
−0.963128 | + | 0.269044i | \(0.913292\pi\) | |||||||
\(158\) | −17.1956 | − | 29.7837i | −1.36801 | − | 2.36946i | ||||
\(159\) | −10.1361 | + | 2.55133i | −0.803847 | + | 0.202334i | ||||
\(160\) | 1.92077 | − | 3.32687i | 0.151850 | − | 0.263012i | ||||
\(161\) | 25.2759 | 1.99202 | ||||||||
\(162\) | 10.1244 | + | 20.2948i | 0.795445 | + | 1.59451i | ||||
\(163\) | −2.42340 | −0.189815 | −0.0949076 | − | 0.995486i | \(-0.530256\pi\) | ||||
−0.0949076 | + | 0.995486i | \(0.530256\pi\) | |||||||
\(164\) | 14.2748 | − | 24.7247i | 1.11468 | − | 1.93068i | ||||
\(165\) | −9.65492 | + | 2.43021i | −0.751635 | + | 0.189192i | ||||
\(166\) | 7.76475 | + | 13.4489i | 0.602662 | + | 1.04384i | ||||
\(167\) | −2.48240 | − | 4.29964i | −0.192094 | − | 0.332716i | 0.753850 | − | 0.657046i | \(-0.228194\pi\) |
−0.945944 | + | 0.324330i | \(0.894861\pi\) | |||||||
\(168\) | 8.45130 | − | 29.7241i | 0.652032 | − | 2.29326i | ||||
\(169\) | −0.500000 | + | 0.866025i | −0.0384615 | + | 0.0666173i | ||||
\(170\) | −13.7661 | −1.05581 | ||||||||
\(171\) | 15.5814 | − | 8.37445i | 1.19154 | − | 0.640410i | ||||
\(172\) | −2.84542 | −0.216962 | ||||||||
\(173\) | 1.33399 | − | 2.31055i | 0.101422 | − | 0.175668i | −0.810849 | − | 0.585256i | \(-0.800994\pi\) |
0.912271 | + | 0.409588i | \(0.134328\pi\) | |||||||
\(174\) | 10.2561 | + | 10.5731i | 0.777516 | + | 0.801544i | ||||
\(175\) | −1.50610 | − | 2.60865i | −0.113851 | − | 0.197195i | ||||
\(176\) | 17.8918 | + | 30.9895i | 1.34864 | + | 2.33592i | ||||
\(177\) | 9.11559 | + | 9.39728i | 0.685169 | + | 0.706343i | ||||
\(178\) | −2.84513 | + | 4.92791i | −0.213251 | + | 0.369362i | ||||
\(179\) | −13.9929 | −1.04588 | −0.522938 | − | 0.852371i | \(-0.675164\pi\) | ||||
−0.522938 | + | 0.852371i | \(0.675164\pi\) | |||||||
\(180\) | 0.397090 | − | 13.0452i | 0.0295973 | − | 0.972330i | ||||
\(181\) | 8.28746 | 0.616002 | 0.308001 | − | 0.951386i | \(-0.400340\pi\) | ||||
0.308001 | + | 0.951386i | \(0.400340\pi\) | |||||||
\(182\) | −3.79538 | + | 6.57380i | −0.281333 | + | 0.487282i | ||||
\(183\) | 2.85235 | − | 10.0320i | 0.210852 | − | 0.741588i | ||||
\(184\) | −24.8506 | − | 43.0425i | −1.83201 | − | 3.17313i | ||||
\(185\) | −2.14874 | − | 3.72172i | −0.157978 | − | 0.273626i | ||||
\(186\) | 18.1815 | − | 4.57640i | 1.33313 | − | 0.335558i | ||||
\(187\) | 15.7003 | − | 27.1938i | 1.14812 | − | 1.98861i | ||||
\(188\) | −45.2880 | −3.30296 | ||||||||
\(189\) | −3.35694 | − | 15.2877i | −0.244181 | − | 1.11201i | ||||
\(190\) | −14.8590 | −1.07799 | ||||||||
\(191\) | −0.356045 | + | 0.616689i | −0.0257625 | + | 0.0446220i | −0.878619 | − | 0.477523i | \(-0.841535\pi\) |
0.852857 | + | 0.522145i | \(0.174868\pi\) | |||||||
\(192\) | 4.65230 | − | 1.17102i | 0.335751 | − | 0.0845108i | ||||
\(193\) | 10.3493 | + | 17.9256i | 0.744961 | + | 1.29031i | 0.950213 | + | 0.311602i | \(0.100865\pi\) |
−0.205251 | + | 0.978709i | \(0.565801\pi\) | |||||||
\(194\) | −7.87420 | − | 13.6385i | −0.565335 | − | 0.979189i | ||||
\(195\) | −0.473690 | + | 1.66602i | −0.0339217 | + | 0.119306i | ||||
\(196\) | −4.51006 | + | 7.81165i | −0.322147 | + | 0.557975i | ||||
\(197\) | −25.1924 | −1.79489 | −0.897444 | − | 0.441129i | \(-0.854578\pi\) | ||||
−0.897444 | + | 0.441129i | \(0.854578\pi\) | |||||||
\(198\) | 36.9555 | + | 22.8630i | 2.62631 | + | 1.62480i | ||||
\(199\) | −0.692437 | −0.0490855 | −0.0245428 | − | 0.999699i | \(-0.507813\pi\) | ||||
−0.0245428 | + | 0.999699i | \(0.507813\pi\) | |||||||
\(200\) | −2.96152 | + | 5.12950i | −0.209411 | + | 0.362710i | ||||
\(201\) | 6.86972 | + | 7.08201i | 0.484553 | + | 0.499527i | ||||
\(202\) | 7.50429 | + | 12.9978i | 0.528000 | + | 0.914523i | ||||
\(203\) | −5.08279 | − | 8.80365i | −0.356742 | − | 0.617895i | ||||
\(204\) | 28.6601 | + | 29.5458i | 2.00661 | + | 2.06862i | ||||
\(205\) | −3.28126 | + | 5.68331i | −0.229173 | + | 0.396940i | ||||
\(206\) | −16.0477 | −1.11810 | ||||||||
\(207\) | −21.4078 | − | 13.2442i | −1.48795 | − | 0.920537i | ||||
\(208\) | 6.22524 | 0.431642 | ||||||||
\(209\) | 16.9468 | − | 29.3527i | 1.17223 | − | 2.03037i | ||||
\(210\) | −3.59567 | + | 12.6464i | −0.248125 | + | 0.872682i | ||||
\(211\) | −1.77430 | − | 3.07318i | −0.122148 | − | 0.211566i | 0.798467 | − | 0.602039i | \(-0.205645\pi\) |
−0.920614 | + | 0.390473i | \(0.872312\pi\) | |||||||
\(212\) | −13.1266 | − | 22.7359i | −0.901535 | − | 1.56150i | ||||
\(213\) | −3.36151 | + | 0.846114i | −0.230327 | + | 0.0579747i | ||||
\(214\) | −16.1271 | + | 27.9329i | −1.10242 | + | 1.90945i | ||||
\(215\) | 0.654059 | 0.0446065 | ||||||||
\(216\) | −22.7330 | + | 20.7469i | −1.54678 | + | 1.41165i | ||||
\(217\) | −12.9387 | −0.878338 | ||||||||
\(218\) | −11.9031 | + | 20.6167i | −0.806177 | + | 1.39634i | ||||
\(219\) | −20.9148 | + | 5.26441i | −1.41329 | + | 0.355736i | ||||
\(220\) | −12.5034 | − | 21.6565i | −0.842978 | − | 1.46008i | ||||
\(221\) | −2.73138 | − | 4.73088i | −0.183732 | − | 0.318233i | ||||
\(222\) | −5.12989 | + | 18.0424i | −0.344296 | + | 1.21092i | ||||
\(223\) | 0.361381 | − | 0.625930i | 0.0241999 | − | 0.0419154i | −0.853672 | − | 0.520811i | \(-0.825630\pi\) |
0.877872 | + | 0.478896i | \(0.158963\pi\) | |||||||
\(224\) | 11.5715 | 0.773154 | ||||||||
\(225\) | −0.0912764 | + | 2.99861i | −0.00608509 | + | 0.199907i | ||||
\(226\) | −34.4419 | −2.29104 | ||||||||
\(227\) | 9.83730 | − | 17.0387i | 0.652925 | − | 1.13090i | −0.329485 | − | 0.944161i | \(-0.606875\pi\) |
0.982410 | − | 0.186738i | \(-0.0597915\pi\) | |||||||
\(228\) | 30.9354 | + | 31.8914i | 2.04875 | + | 2.11206i | ||||
\(229\) | −2.25838 | − | 3.91162i | −0.149238 | − | 0.258487i | 0.781708 | − | 0.623644i | \(-0.214349\pi\) |
−0.930946 | + | 0.365157i | \(0.881015\pi\) | |||||||
\(230\) | 10.5729 | + | 18.3128i | 0.697155 | + | 1.20751i | ||||
\(231\) | −20.8809 | − | 21.5262i | −1.37386 | − | 1.41632i | ||||
\(232\) | −9.99450 | + | 17.3110i | −0.656171 | + | 1.13652i | ||||
\(233\) | 1.13516 | 0.0743669 | 0.0371835 | − | 0.999308i | \(-0.488161\pi\) | ||||
0.0371835 | + | 0.999308i | \(0.488161\pi\) | |||||||
\(234\) | 6.65913 | − | 3.57905i | 0.435321 | − | 0.233970i | ||||
\(235\) | 10.4100 | 0.679077 | ||||||||
\(236\) | −16.4418 | + | 28.4780i | −1.07027 | + | 1.85376i | ||||
\(237\) | 6.46460 | − | 22.7367i | 0.419921 | − | 1.47691i | ||||
\(238\) | −20.7332 | − | 35.9110i | −1.34394 | − | 2.32777i | ||||
\(239\) | −5.40401 | − | 9.36002i | −0.349556 | − | 0.605450i | 0.636614 | − | 0.771182i | \(-0.280334\pi\) |
−0.986171 | + | 0.165733i | \(0.947001\pi\) | |||||||
\(240\) | 10.4563 | − | 2.63191i | 0.674950 | − | 0.169889i | ||||
\(241\) | 3.81756 | − | 6.61222i | 0.245911 | − | 0.425930i | −0.716476 | − | 0.697611i | \(-0.754246\pi\) |
0.962387 | + | 0.271681i | \(0.0875796\pi\) | |||||||
\(242\) | 55.5438 | 3.57049 | ||||||||
\(243\) | −5.16731 | + | 14.7071i | −0.331483 | + | 0.943461i | ||||
\(244\) | 26.1962 | 1.67704 | ||||||||
\(245\) | 1.03670 | − | 1.79561i | 0.0662322 | − | 0.114718i | ||||
\(246\) | 27.7775 | − | 6.99178i | 1.77103 | − | 0.445780i | ||||
\(247\) | −2.94822 | − | 5.10646i | −0.187590 | − | 0.324916i | ||||
\(248\) | 12.7210 | + | 22.0334i | 0.807784 | + | 1.39912i | ||||
\(249\) | −2.91911 | + | 10.2668i | −0.184991 | + | 0.650634i | ||||
\(250\) | 1.26000 | − | 2.18239i | 0.0796894 | − | 0.138026i | ||||
\(251\) | 6.71696 | 0.423971 | 0.211985 | − | 0.977273i | \(-0.432007\pi\) | ||||
0.211985 | + | 0.977273i | \(0.432007\pi\) | |||||||
\(252\) | 34.6284 | − | 18.6115i | 2.18138 | − | 1.17242i | ||||
\(253\) | −48.2336 | −3.03242 | ||||||||
\(254\) | −5.51185 | + | 9.54681i | −0.345845 | + | 0.599020i | ||||
\(255\) | −6.58791 | − | 6.79149i | −0.412551 | − | 0.425300i | ||||
\(256\) | 15.7055 | + | 27.2028i | 0.981596 | + | 1.70017i | ||||
\(257\) | −11.2663 | − | 19.5137i | −0.702770 | − | 1.21723i | −0.967490 | − | 0.252908i | \(-0.918613\pi\) |
0.264720 | − | 0.964325i | \(-0.414720\pi\) | |||||||
\(258\) | −1.98772 | − | 2.04914i | −0.123750 | − | 0.127574i | ||||
\(259\) | 6.47244 | − | 11.2106i | 0.402178 | − | 0.696592i | ||||
\(260\) | −4.35041 | −0.269801 | ||||||||
\(261\) | −0.308039 | + | 10.1197i | −0.0190671 | + | 0.626393i | ||||
\(262\) | −33.4312 | −2.06539 | ||||||||
\(263\) | −6.93204 | + | 12.0066i | −0.427448 | + | 0.740362i | −0.996646 | − | 0.0818391i | \(-0.973921\pi\) |
0.569198 | + | 0.822201i | \(0.307254\pi\) | |||||||
\(264\) | −16.1275 | + | 56.7220i | −0.992577 | + | 3.49100i | ||||
\(265\) | 3.01731 | + | 5.22614i | 0.185352 | + | 0.321039i | ||||
\(266\) | −22.3792 | − | 38.7619i | −1.37216 | − | 2.37665i | ||||
\(267\) | −3.79273 | + | 0.954656i | −0.232111 | + | 0.0584240i | ||||
\(268\) | −12.3909 | + | 21.4617i | −0.756894 | + | 1.31098i | ||||
\(269\) | 3.78932 | 0.231039 | 0.115520 | − | 0.993305i | \(-0.463147\pi\) | ||||
0.115520 | + | 0.993305i | \(0.463147\pi\) | |||||||
\(270\) | 9.67192 | − | 8.82695i | 0.588614 | − | 0.537191i | ||||
\(271\) | −8.66850 | −0.526574 | −0.263287 | − | 0.964718i | \(-0.584807\pi\) | ||||
−0.263287 | + | 0.964718i | \(0.584807\pi\) | |||||||
\(272\) | −17.0035 | + | 29.4508i | −1.03099 | + | 1.78572i | ||||
\(273\) | −5.05948 | + | 1.27351i | −0.306214 | + | 0.0770761i | ||||
\(274\) | 13.3830 | + | 23.1801i | 0.808498 | + | 1.40036i | ||||
\(275\) | 2.87407 | + | 4.97804i | 0.173313 | + | 0.300187i | ||||
\(276\) | 17.2921 | − | 60.8180i | 1.04086 | − | 3.66081i | ||||
\(277\) | 6.17136 | − | 10.6891i | 0.370801 | − | 0.642247i | −0.618888 | − | 0.785479i | \(-0.712416\pi\) |
0.989689 | + | 0.143233i | \(0.0457498\pi\) | |||||||
\(278\) | 11.2205 | 0.672958 | ||||||||
\(279\) | 10.9587 | + | 6.77971i | 0.656078 | + | 0.405891i | ||||
\(280\) | −17.8414 | −1.06623 | ||||||||
\(281\) | 2.36303 | − | 4.09288i | 0.140966 | − | 0.244161i | −0.786894 | − | 0.617088i | \(-0.788312\pi\) |
0.927861 | + | 0.372927i | \(0.121646\pi\) | |||||||
\(282\) | −31.6366 | − | 32.6143i | −1.88393 | − | 1.94215i | ||||
\(283\) | 6.43592 | + | 11.1473i | 0.382576 | + | 0.662640i | 0.991430 | − | 0.130642i | \(-0.0417038\pi\) |
−0.608854 | + | 0.793282i | \(0.708370\pi\) | |||||||
\(284\) | −4.35324 | − | 7.54003i | −0.258317 | − | 0.447419i | ||||
\(285\) | −7.11091 | − | 7.33066i | −0.421214 | − | 0.434231i | ||||
\(286\) | 7.24267 | − | 12.5447i | 0.428268 | − | 0.741782i | ||||
\(287\) | −19.7677 | −1.16685 | ||||||||
\(288\) | −9.80067 | − | 6.06330i | −0.577510 | − | 0.357284i | ||||
\(289\) | 12.8416 | 0.755391 | ||||||||
\(290\) | 4.25224 | − | 7.36510i | 0.249700 | − | 0.432493i | ||||
\(291\) | 2.96026 | − | 10.4116i | 0.173534 | − | 0.610336i | ||||
\(292\) | −27.0853 | − | 46.9131i | −1.58505 | − | 2.74538i | ||||
\(293\) | 12.7416 | + | 22.0692i | 0.744375 | + | 1.28929i | 0.950486 | + | 0.310766i | \(0.100586\pi\) |
−0.206112 | + | 0.978528i | \(0.566081\pi\) | |||||||
\(294\) | −8.77615 | + | 2.20902i | −0.511836 | + | 0.128832i | ||||
\(295\) | 3.77936 | − | 6.54605i | 0.220043 | − | 0.381126i | ||||
\(296\) | −25.4541 | −1.47949 | ||||||||
\(297\) | 6.40599 | + | 29.1732i | 0.371713 | + | 1.69280i | ||||
\(298\) | −41.2313 | −2.38847 | ||||||||
\(299\) | −4.19558 | + | 7.26696i | −0.242637 | + | 0.420259i | ||||
\(300\) | −7.30720 | + | 1.83927i | −0.421882 | + | 0.106190i | ||||
\(301\) | 0.985081 | + | 1.70621i | 0.0567791 | + | 0.0983444i | ||||
\(302\) | 7.54009 | + | 13.0598i | 0.433883 | + | 0.751508i | ||||
\(303\) | −2.82120 | + | 9.92244i | −0.162073 | + | 0.570029i | ||||
\(304\) | −18.3533 | + | 31.7889i | −1.05264 | + | 1.82322i | ||||
\(305\) | −6.02155 | −0.344793 | ||||||||
\(306\) | −1.25652 | + | 41.2793i | −0.0718307 | + | 2.35978i | ||||
\(307\) | −31.4528 | −1.79511 | −0.897553 | − | 0.440906i | \(-0.854657\pi\) | ||||
−0.897553 | + | 0.440906i | \(0.854657\pi\) | |||||||
\(308\) | 37.6628 | − | 65.2339i | 2.14604 | − | 3.71705i | ||||
\(309\) | −7.67978 | − | 7.91711i | −0.436887 | − | 0.450388i | ||||
\(310\) | −5.41225 | − | 9.37429i | −0.307395 | − | 0.532424i | ||||
\(311\) | 3.04005 | + | 5.26553i | 0.172386 | + | 0.298581i | 0.939253 | − | 0.343224i | \(-0.111519\pi\) |
−0.766868 | + | 0.641805i | \(0.778186\pi\) | |||||||
\(312\) | 7.14300 | + | 7.36373i | 0.404392 | + | 0.416889i | ||||
\(313\) | 3.93739 | − | 6.81976i | 0.222554 | − | 0.385476i | −0.733029 | − | 0.680198i | \(-0.761894\pi\) |
0.955583 | + | 0.294722i | \(0.0952272\pi\) | |||||||
\(314\) | 15.6971 | 0.885841 | ||||||||
\(315\) | −7.95979 | + | 4.27811i | −0.448484 | + | 0.241044i | ||||
\(316\) | 59.3714 | 3.33990 | ||||||||
\(317\) | 9.81771 | − | 17.0048i | 0.551418 | − | 0.955083i | −0.446755 | − | 0.894656i | \(-0.647420\pi\) |
0.998173 | − | 0.0604269i | \(-0.0192462\pi\) | |||||||
\(318\) | 7.20354 | − | 25.3356i | 0.403954 | − | 1.42075i | ||||
\(319\) | 9.69940 | + | 16.7998i | 0.543062 | + | 0.940611i | ||||
\(320\) | −1.38489 | − | 2.39871i | −0.0774180 | − | 0.134092i | ||||
\(321\) | −21.4984 | + | 5.41129i | −1.19992 | + | 0.302029i | ||||
\(322\) | −31.8477 | + | 55.1618i | −1.77480 | + | 3.07405i | ||||
\(323\) | 32.2107 | 1.79225 | ||||||||
\(324\) | −39.0812 | − | 2.38143i | −2.17118 | − | 0.132302i | ||||
\(325\) | 1.00000 | 0.0554700 | ||||||||
\(326\) | 3.05348 | − | 5.28879i | 0.169117 | − | 0.292919i | ||||
\(327\) | −15.8675 | + | 3.99396i | −0.877476 | + | 0.220867i | ||||
\(328\) | 19.4350 | + | 33.6625i | 1.07312 | + | 1.85870i | ||||
\(329\) | 15.6786 | + | 27.1562i | 0.864390 | + | 1.49717i | ||||
\(330\) | 6.86156 | − | 24.1328i | 0.377716 | − | 1.32847i | ||||
\(331\) | 1.66306 | − | 2.88051i | 0.0914102 | − | 0.158327i | −0.816695 | − | 0.577070i | \(-0.804196\pi\) |
0.908105 | + | 0.418743i | \(0.137529\pi\) | |||||||
\(332\) | −26.8094 | −1.47136 | ||||||||
\(333\) | −11.3561 | + | 6.10352i | −0.622311 | + | 0.334471i | ||||
\(334\) | 12.5113 | 0.684588 | ||||||||
\(335\) | 2.84821 | − | 4.93325i | 0.155615 | − | 0.269532i | ||||
\(336\) | 22.6140 | + | 23.3128i | 1.23369 | + | 1.27182i | ||||
\(337\) | 13.6755 | + | 23.6867i | 0.744954 | + | 1.29030i | 0.950216 | + | 0.311591i | \(0.100862\pi\) |
−0.205263 | + | 0.978707i | \(0.565805\pi\) | |||||||
\(338\) | −1.26000 | − | 2.18239i | −0.0685350 | − | 0.118706i | ||||
\(339\) | −16.4825 | − | 16.9918i | −0.895205 | − | 0.922869i | ||||
\(340\) | 11.8826 | − | 20.5813i | 0.644424 | − | 1.11618i | ||||
\(341\) | 24.6908 | 1.33708 | ||||||||
\(342\) | −1.35628 | + | 44.5564i | −0.0733391 | + | 2.40933i | ||||
\(343\) | −14.8400 | −0.801282 | ||||||||
\(344\) | 1.93701 | − | 3.35499i | 0.104436 | − | 0.180889i | ||||
\(345\) | −3.97481 | + | 13.9798i | −0.213997 | + | 0.752649i | ||||
\(346\) | 3.36167 | + | 5.82258i | 0.180724 | + | 0.313024i | ||||
\(347\) | 12.4216 | + | 21.5149i | 0.666828 | + | 1.15498i | 0.978786 | + | 0.204885i | \(0.0656819\pi\) |
−0.311958 | + | 0.950096i | \(0.600985\pi\) | |||||||
\(348\) | −24.6603 | + | 6.20716i | −1.32193 | + | 0.332739i | ||||
\(349\) | 0.915567 | − | 1.58581i | 0.0490092 | − | 0.0848864i | −0.840480 | − | 0.541842i | \(-0.817727\pi\) |
0.889489 | + | 0.456956i | \(0.151060\pi\) | |||||||
\(350\) | 7.59077 | 0.405744 | ||||||||
\(351\) | 4.95250 | + | 1.57248i | 0.264345 | + | 0.0839328i | ||||
\(352\) | −22.0817 | −1.17696 | ||||||||
\(353\) | −10.6302 | + | 18.4120i | −0.565788 | + | 0.979974i | 0.431188 | + | 0.902262i | \(0.358095\pi\) |
−0.996976 | + | 0.0777117i | \(0.975239\pi\) | |||||||
\(354\) | −31.9941 | + | 8.05314i | −1.70047 | + | 0.428020i | ||||
\(355\) | 1.00065 | + | 1.73318i | 0.0531090 | + | 0.0919876i | ||||
\(356\) | −4.91169 | − | 8.50730i | −0.260319 | − | 0.450886i | ||||
\(357\) | 7.79454 | − | 27.4142i | 0.412531 | − | 1.45092i | ||||
\(358\) | 17.6310 | − | 30.5378i | 0.931828 | − | 1.61397i | ||||
\(359\) | −4.46395 | −0.235598 | −0.117799 | − | 0.993037i | \(-0.537584\pi\) | ||||
−0.117799 | + | 0.993037i | \(0.537584\pi\) | |||||||
\(360\) | 15.1110 | + | 9.34864i | 0.796422 | + | 0.492716i | ||||
\(361\) | 15.7679 | 0.829889 | ||||||||
\(362\) | −10.4422 | + | 18.0864i | −0.548830 | + | 0.950601i | ||||
\(363\) | 26.5810 | + | 27.4024i | 1.39514 | + | 1.43825i | ||||
\(364\) | −6.55217 | − | 11.3487i | −0.343427 | − | 0.594833i | ||||
\(365\) | 6.22592 | + | 10.7836i | 0.325879 | + | 0.564440i | ||||
\(366\) | 18.2998 | + | 18.8653i | 0.956544 | + | 0.986104i | ||||
\(367\) | −11.4328 | + | 19.8022i | −0.596788 | + | 1.03367i | 0.396504 | + | 0.918033i | \(0.370223\pi\) |
−0.993292 | + | 0.115634i | \(0.963110\pi\) | |||||||
\(368\) | 52.2370 | 2.72304 | ||||||||
\(369\) | 16.7425 | + | 10.3580i | 0.871582 | + | 0.539215i | ||||
\(370\) | 10.8296 | 0.563006 | ||||||||
\(371\) | −9.08878 | + | 15.7422i | −0.471866 | + | 0.817296i | ||||
\(372\) | −8.85179 | + | 31.1327i | −0.458944 | + | 1.61415i | ||||
\(373\) | −8.91954 | − | 15.4491i | −0.461836 | − | 0.799924i | 0.537216 | − | 0.843445i | \(-0.319476\pi\) |
−0.999053 | + | 0.0435205i | \(0.986143\pi\) | |||||||
\(374\) | 39.5649 | + | 68.5284i | 2.04585 | + | 3.54352i | ||||
\(375\) | 1.67966 | − | 0.422782i | 0.0867372 | − | 0.0218323i | ||||
\(376\) | 30.8295 | − | 53.3983i | 1.58991 | − | 2.75381i | ||||
\(377\) | 3.37479 | 0.173811 | ||||||||
\(378\) | 37.5933 | + | 11.9363i | 1.93359 | + | 0.613939i | ||||
\(379\) | 24.4173 | 1.25423 | 0.627117 | − | 0.778925i | \(-0.284235\pi\) | ||||
0.627117 | + | 0.778925i | \(0.284235\pi\) | |||||||
\(380\) | 12.8259 | − | 22.2152i | 0.657957 | − | 1.13961i | ||||
\(381\) | −7.34765 | + | 1.84945i | −0.376431 | + | 0.0947503i | ||||
\(382\) | −0.897235 | − | 1.55406i | −0.0459065 | − | 0.0795124i | ||||
\(383\) | 16.1311 | + | 27.9398i | 0.824258 | + | 1.42766i | 0.902485 | + | 0.430722i | \(0.141741\pi\) |
−0.0782265 | + | 0.996936i | \(0.524926\pi\) | |||||||
\(384\) | −6.94569 | + | 24.4287i | −0.354446 | + | 1.24662i | ||||
\(385\) | −8.65730 | + | 14.9949i | −0.441217 | + | 0.764210i | ||||
\(386\) | −52.1607 | −2.65491 | ||||||||
\(387\) | 0.0597002 | − | 1.96127i | 0.00303473 | − | 0.0996969i | ||||
\(388\) | 27.1873 | 1.38023 | ||||||||
\(389\) | 9.93039 | − | 17.1999i | 0.503491 | − | 0.872072i | −0.496501 | − | 0.868036i | \(-0.665382\pi\) |
0.999992 | − | 0.00403561i | \(-0.00128458\pi\) | |||||||
\(390\) | −3.03904 | − | 3.13296i | −0.153888 | − | 0.158644i | ||||
\(391\) | −22.9194 | − | 39.6976i | −1.15909 | − | 2.00759i | ||||
\(392\) | −6.14039 | − | 10.6355i | −0.310137 | − | 0.537173i | ||||
\(393\) | −15.9988 | − | 16.4932i | −0.807032 | − | 0.831972i | ||||
\(394\) | 31.7425 | − | 54.9796i | 1.59916 | − | 2.76983i | ||||
\(395\) | −13.6473 | −0.686671 | ||||||||
\(396\) | −66.0807 | + | 35.5161i | −3.32068 | + | 1.78475i | ||||
\(397\) | 0.215714 | 0.0108264 | 0.00541319 | − | 0.999985i | \(-0.498277\pi\) | ||||
0.00541319 | + | 0.999985i | \(0.498277\pi\) | |||||||
\(398\) | 0.872471 | − | 1.51116i | 0.0437330 | − | 0.0757478i | ||||
\(399\) | 8.41334 | − | 29.5906i | 0.421194 | − | 1.48138i | ||||
\(400\) | −3.11262 | − | 5.39121i | −0.155631 | − | 0.269561i | ||||
\(401\) | −9.40370 | − | 16.2877i | −0.469598 | − | 0.813368i | 0.529797 | − | 0.848124i | \(-0.322268\pi\) |
−0.999396 | + | 0.0347560i | \(0.988935\pi\) | |||||||
\(402\) | −24.1115 | + | 6.06903i | −1.20257 | + | 0.302696i | ||||
\(403\) | 2.14772 | − | 3.71995i | 0.106985 | − | 0.185304i | ||||
\(404\) | −25.9101 | −1.28907 | ||||||||
\(405\) | 8.98334 | + | 0.547405i | 0.446386 | + | 0.0272008i | ||||
\(406\) | 25.6173 | 1.27136 | ||||||||
\(407\) | −12.3512 | + | 21.3930i | −0.612228 | + | 1.06041i | ||||
\(408\) | −54.3471 | + | 13.6795i | −2.69058 | + | 0.677238i | ||||
\(409\) | −0.622094 | − | 1.07750i | −0.0307606 | − | 0.0532789i | 0.850235 | − | 0.526403i | \(-0.176460\pi\) |
−0.880996 | + | 0.473124i | \(0.843126\pi\) | |||||||
\(410\) | −8.26879 | − | 14.3220i | −0.408366 | − | 0.707311i | ||||
\(411\) | −5.03127 | + | 17.6955i | −0.248174 | + | 0.872856i | ||||
\(412\) | 13.8520 | − | 23.9924i | 0.682439 | − | 1.18202i | ||||
\(413\) | 22.7684 | 1.12036 | ||||||||
\(414\) | 55.8779 | − | 30.0324i | 2.74625 | − | 1.47601i | ||||
\(415\) | 6.16250 | 0.302505 | ||||||||
\(416\) | −1.92077 | + | 3.32687i | −0.0941734 | + | 0.163113i | ||||
\(417\) | 5.36965 | + | 5.53558i | 0.262953 | + | 0.271079i | ||||
\(418\) | 42.7059 | + | 73.9687i | 2.08881 | + | 3.61793i | ||||
\(419\) | −16.9901 | − | 29.4277i | −0.830020 | − | 1.43764i | −0.898021 | − | 0.439952i | \(-0.854995\pi\) |
0.0680010 | − | 0.997685i | \(-0.478338\pi\) | |||||||
\(420\) | −15.8034 | − | 16.2918i | −0.771128 | − | 0.794958i | ||||
\(421\) | 5.53112 | − | 9.58019i | 0.269570 | − | 0.466910i | −0.699180 | − | 0.714945i | \(-0.746452\pi\) |
0.968751 | + | 0.248035i | \(0.0797849\pi\) | |||||||
\(422\) | 8.94248 | 0.435313 | ||||||||
\(423\) | 0.950192 | − | 31.2157i | 0.0461999 | − | 1.51776i | ||||
\(424\) | 35.7433 | 1.73585 | ||||||||
\(425\) | −2.73138 | + | 4.73088i | −0.132491 | + | 0.229481i | ||||
\(426\) | 2.38895 | − | 8.40221i | 0.115745 | − | 0.407088i | ||||
\(427\) | −9.06908 | − | 15.7081i | −0.438884 | − | 0.760169i | ||||
\(428\) | −27.8410 | − | 48.2220i | −1.34575 | − | 2.33090i | ||||
\(429\) | 9.65492 | − | 2.43021i | 0.466144 | − | 0.117332i | ||||
\(430\) | −0.824115 | + | 1.42741i | −0.0397424 | + | 0.0688358i | ||||
\(431\) | −29.3780 | −1.41509 | −0.707545 | − | 0.706669i | \(-0.750197\pi\) | ||||
−0.707545 | + | 0.706669i | \(0.750197\pi\) | |||||||
\(432\) | −6.93768 | − | 31.5945i | −0.333789 | − | 1.52009i | ||||
\(433\) | −32.7711 | −1.57488 | −0.787439 | − | 0.616393i | \(-0.788593\pi\) | ||||
−0.787439 | + | 0.616393i | \(0.788593\pi\) | |||||||
\(434\) | 16.3028 | − | 28.2373i | 0.782560 | − | 1.35543i | ||||
\(435\) | 5.66850 | − | 1.42680i | 0.271784 | − | 0.0684098i | ||||
\(436\) | −20.5489 | − | 35.5917i | −0.984112 | − | 1.70453i | ||||
\(437\) | −24.7390 | − | 42.8492i | −1.18343 | − | 2.04975i | ||||
\(438\) | 14.8638 | − | 52.2774i | 0.710218 | − | 2.49791i | ||||
\(439\) | −2.02508 | + | 3.50754i | −0.0966517 | + | 0.167406i | −0.910297 | − | 0.413956i | \(-0.864147\pi\) |
0.813645 | + | 0.581362i | \(0.197480\pi\) | |||||||
\(440\) | 34.0464 | 1.62310 | ||||||||
\(441\) | −5.28972 | − | 3.27255i | −0.251891 | − | 0.155836i | ||||
\(442\) | 13.7661 | 0.654789 | ||||||||
\(443\) | 2.33610 | − | 4.04624i | 0.110991 | − | 0.192242i | −0.805179 | − | 0.593032i | \(-0.797931\pi\) |
0.916170 | + | 0.400789i | \(0.131264\pi\) | |||||||
\(444\) | −22.5465 | − | 23.2432i | −1.07001 | − | 1.10308i | ||||
\(445\) | 1.12902 | + | 1.95552i | 0.0535206 | + | 0.0927004i | ||||
\(446\) | 0.910680 | + | 1.57734i | 0.0431220 | + | 0.0746894i | ||||
\(447\) | −19.7316 | − | 20.3414i | −0.933273 | − | 0.962114i | ||||
\(448\) | 4.17159 | − | 7.22541i | 0.197089 | − | 0.341368i | ||||
\(449\) | −25.3333 | −1.19555 | −0.597775 | − | 0.801664i | \(-0.703948\pi\) | ||||
−0.597775 | + | 0.801664i | \(0.703948\pi\) | |||||||
\(450\) | −6.42912 | − | 3.97745i | −0.303071 | − | 0.187499i | ||||
\(451\) | 37.7223 | 1.77628 | ||||||||
\(452\) | 29.7294 | − | 51.4928i | 1.39835 | − | 2.42202i | ||||
\(453\) | −2.83465 | + | 9.96977i | −0.133184 | + | 0.468421i | ||||
\(454\) | 24.7900 | + | 42.9376i | 1.16345 | + | 2.01516i | ||||
\(455\) | 1.50610 | + | 2.60865i | 0.0706072 | + | 0.122295i | ||||
\(456\) | −58.6617 | + | 14.7655i | −2.74709 | + | 0.691460i | ||||
\(457\) | −0.663373 | + | 1.14900i | −0.0310313 | + | 0.0537477i | −0.881124 | − | 0.472885i | \(-0.843212\pi\) |
0.850093 | + | 0.526633i | \(0.176546\pi\) | |||||||
\(458\) | 11.3822 | 0.531856 | ||||||||
\(459\) | −20.9664 | + | 19.1347i | −0.978626 | + | 0.893130i | ||||
\(460\) | −36.5050 | −1.70205 | ||||||||
\(461\) | −3.86232 | + | 6.68973i | −0.179886 | + | 0.311572i | −0.941841 | − | 0.336058i | \(-0.890906\pi\) |
0.761955 | + | 0.647630i | \(0.224240\pi\) | |||||||
\(462\) | 73.2883 | − | 18.4472i | 3.40968 | − | 0.858239i | ||||
\(463\) | 5.34129 | + | 9.25138i | 0.248231 | + | 0.429948i | 0.963035 | − | 0.269376i | \(-0.0868176\pi\) |
−0.714804 | + | 0.699325i | \(0.753484\pi\) | |||||||
\(464\) | −10.5044 | − | 18.1942i | −0.487656 | − | 0.844646i | ||||
\(465\) | 2.03470 | − | 7.15627i | 0.0943571 | − | 0.331864i | ||||
\(466\) | −1.43030 | + | 2.47736i | −0.0662576 | + | 0.114761i | ||||
\(467\) | 2.08913 | 0.0966736 | 0.0483368 | − | 0.998831i | \(-0.484608\pi\) | ||||
0.0483368 | + | 0.998831i | \(0.484608\pi\) | |||||||
\(468\) | −0.397090 | + | 13.0452i | −0.0183555 | + | 0.603014i | ||||
\(469\) | 17.1588 | 0.792321 | ||||||||
\(470\) | −13.1167 | + | 22.7187i | −0.605027 | + | 1.04794i | ||||
\(471\) | 7.51201 | + | 7.74415i | 0.346135 | + | 0.356832i | ||||
\(472\) | −22.3853 | − | 38.7724i | −1.03037 | − | 1.78465i | ||||
\(473\) | −1.87981 | − | 3.25593i | −0.0864339 | − | 0.149708i | ||||
\(474\) | 41.4748 | + | 42.7565i | 1.90500 | + | 1.96387i | ||||
\(475\) | −2.94822 | + | 5.10646i | −0.135273 | + | 0.234300i | ||||
\(476\) | 71.5857 | 3.28113 | ||||||||
\(477\) | 15.9466 | − | 8.57073i | 0.730144 | − | 0.392427i | ||||
\(478\) | 27.2362 | 1.24576 | ||||||||
\(479\) | −0.633003 | + | 1.09639i | −0.0289226 | + | 0.0500955i | −0.880124 | − | 0.474743i | \(-0.842541\pi\) |
0.851202 | + | 0.524839i | \(0.175874\pi\) | |||||||
\(480\) | −1.81970 | + | 6.40007i | −0.0830575 | + | 0.292122i | ||||
\(481\) | 2.14874 | + | 3.72172i | 0.0979739 | + | 0.169696i | ||||
\(482\) | 9.62027 | + | 16.6628i | 0.438191 | + | 0.758969i | ||||
\(483\) | −42.4550 | + | 10.6862i | −1.93177 | + | 0.486239i | ||||
\(484\) | −47.9440 | + | 83.0415i | −2.17927 | + | 3.77461i | ||||
\(485\) | −6.24936 | −0.283769 | ||||||||
\(486\) | −25.5858 | − | 29.8080i | −1.16059 | − | 1.35212i | ||||
\(487\) | 20.6599 | 0.936191 | 0.468096 | − | 0.883678i | \(-0.344940\pi\) | ||||
0.468096 | + | 0.883678i | \(0.344940\pi\) | |||||||
\(488\) | −17.8329 | + | 30.8875i | −0.807258 | + | 1.39821i | ||||
\(489\) | 4.07048 | − | 1.02457i | 0.184074 | − | 0.0463326i | ||||
\(490\) | 2.61248 | + | 4.52495i | 0.118020 | + | 0.204416i | ||||
\(491\) | 6.06292 | + | 10.5013i | 0.273616 | + | 0.473916i | 0.969785 | − | 0.243962i | \(-0.0784471\pi\) |
−0.696169 | + | 0.717878i | \(0.745114\pi\) | |||||||
\(492\) | −13.5237 | + | 47.5643i | −0.609695 | + | 2.14436i | ||||
\(493\) | −9.21783 | + | 15.9657i | −0.415150 | + | 0.719061i | ||||
\(494\) | 14.8590 | 0.668539 | ||||||||
\(495\) | 15.1895 | − | 8.16385i | 0.682719 | − | 0.366938i | ||||
\(496\) | −26.7401 | −1.20066 | ||||||||
\(497\) | −3.01417 | + | 5.22069i | −0.135204 | + | 0.234180i | ||||
\(498\) | −18.7281 | − | 19.3069i | −0.839226 | − | 0.865161i | ||||
\(499\) | −4.18901 | − | 7.25557i | −0.187526 | − | 0.324804i | 0.756899 | − | 0.653532i | \(-0.226713\pi\) |
−0.944425 | + | 0.328728i | \(0.893380\pi\) | |||||||
\(500\) | 2.17520 | + | 3.76756i | 0.0972781 | + | 0.168491i | ||||
\(501\) | 5.98740 | + | 6.17242i | 0.267497 | + | 0.275764i | ||||
\(502\) | −8.46337 | + | 14.6590i | −0.377739 | + | 0.654263i | ||||
\(503\) | 33.8591 | 1.50970 | 0.754851 | − | 0.655897i | \(-0.227709\pi\) | ||||
0.754851 | + | 0.655897i | \(0.227709\pi\) | |||||||
\(504\) | −1.62850 | + | 53.4994i | −0.0725391 | + | 2.38305i | ||||
\(505\) | 5.95578 | 0.265029 | ||||||||
\(506\) | 60.7744 | − | 105.264i | 2.70175 | − | 4.67957i | ||||
\(507\) | 0.473690 | − | 1.66602i | 0.0210373 | − | 0.0739905i | ||||
\(508\) | −9.51540 | − | 16.4812i | −0.422178 | − | 0.731233i | ||||
\(509\) | −5.56573 | − | 9.64012i | −0.246697 | − | 0.427291i | 0.715911 | − | 0.698192i | \(-0.246012\pi\) |
−0.962607 | + | 0.270901i | \(0.912678\pi\) | |||||||
\(510\) | 23.1224 | − | 5.82007i | 1.02388 | − | 0.257717i | ||||
\(511\) | −18.7538 | + | 32.4825i | −0.829617 | + | 1.43694i | ||||
\(512\) | −49.8301 | −2.20220 | ||||||||
\(513\) | −22.6309 | + | 20.6537i | −0.999177 | + | 0.911885i | ||||
\(514\) | 56.7820 | 2.50455 | ||||||||
\(515\) | −3.18407 | + | 5.51497i | −0.140307 | + | 0.243019i | ||||
\(516\) | 4.77934 | − | 1.20299i | 0.210399 | − | 0.0529588i | ||||
\(517\) | −29.9192 | − | 51.8216i | −1.31585 | − | 2.27911i | ||||
\(518\) | 16.3106 | + | 28.2507i | 0.716644 | + | 1.24126i | ||||
\(519\) | −1.26380 | + | 4.44492i | −0.0554747 | + | 0.195110i | ||||
\(520\) | 2.96152 | − | 5.12950i | 0.129871 | − | 0.224943i | ||||
\(521\) | −7.38081 | −0.323359 | −0.161679 | − | 0.986843i | \(-0.551691\pi\) | ||||
−0.161679 | + | 0.986843i | \(0.551691\pi\) | |||||||
\(522\) | −21.6969 | − | 13.4231i | −0.949649 | − | 0.587512i | ||||
\(523\) | −27.1586 | −1.18756 | −0.593781 | − | 0.804626i | \(-0.702366\pi\) | ||||
−0.593781 | + | 0.804626i | \(0.702366\pi\) | |||||||
\(524\) | 28.8570 | − | 49.9818i | 1.26062 | − | 2.18346i | ||||
\(525\) | 3.63263 | + | 3.74489i | 0.158541 | + | 0.163440i | ||||
\(526\) | −17.4688 | − | 30.2568i | −0.761674 | − | 1.31926i | ||||
\(527\) | 11.7324 | + | 20.3212i | 0.511073 | + | 0.885204i | ||||
\(528\) | −43.1539 | − | 44.4874i | −1.87803 | − | 1.93607i | ||||
\(529\) | −23.7058 | + | 41.0597i | −1.03069 | + | 1.78521i | ||||
\(530\) | −15.2073 | −0.660562 | ||||||||
\(531\) | −19.2841 | − | 11.9303i | −0.836858 | − | 0.517732i | ||||
\(532\) | 77.2688 | 3.35003 | ||||||||
\(533\) | 3.28126 | − | 5.68331i | 0.142127 | − | 0.246172i | ||||
\(534\) | 2.69542 | − | 9.48007i | 0.116642 | − | 0.410243i | ||||
\(535\) | 6.39963 | + | 11.0845i | 0.276680 | + | 0.479224i | ||||
\(536\) | −16.8701 | − | 29.2198i | −0.728676 | − | 1.26210i | ||||
\(537\) | 23.5032 | − | 5.91592i | 1.01424 | − | 0.255291i | ||||
\(538\) | −4.77455 | + | 8.26977i | −0.205846 | + | 0.356535i | ||||
\(539\) | −11.9182 | −0.513352 | ||||||||
\(540\) | 4.84829 | + | 22.0793i | 0.208637 | + | 0.950144i | ||||
\(541\) | 17.0809 | 0.734365 | 0.367182 | − | 0.930149i | \(-0.380322\pi\) | ||||
0.367182 | + | 0.930149i | \(0.380322\pi\) | |||||||
\(542\) | 10.9223 | − | 18.9180i | 0.469154 | − | 0.812598i | ||||
\(543\) | −13.9201 | + | 3.50378i | −0.597369 | + | 0.150362i | ||||
\(544\) | −10.4927 | − | 18.1739i | −0.449870 | − | 0.779198i | ||||
\(545\) | 4.72343 | + | 8.18123i | 0.202330 | + | 0.350445i | ||||
\(546\) | 3.59567 | − | 12.6464i | 0.153881 | − | 0.541214i | ||||
\(547\) | 10.4035 | − | 18.0194i | 0.444822 | − | 0.770455i | −0.553217 | − | 0.833037i | \(-0.686600\pi\) |
0.998040 | + | 0.0625819i | \(0.0199335\pi\) | |||||||
\(548\) | −46.2076 | −1.97389 | ||||||||
\(549\) | −0.549625 | + | 18.0563i | −0.0234574 | + | 0.770624i | ||||
\(550\) | −14.4853 | −0.617657 | ||||||||
\(551\) | −9.94962 | + | 17.2332i | −0.423868 | + | 0.734161i | ||||
\(552\) | 59.9381 | + | 61.7903i | 2.55113 | + | 2.62997i | ||||
\(553\) | −20.5543 | − | 35.6010i | −0.874057 | − | 1.51391i | ||||
\(554\) | 15.5518 | + | 26.9366i | 0.660735 | + | 1.14443i | ||||
\(555\) | 5.18262 | + | 5.34277i | 0.219990 | + | 0.226788i | ||||
\(556\) | −9.68522 | + | 16.7753i | −0.410745 | + | 0.711431i | ||||
\(557\) | −29.9187 | −1.26770 | −0.633848 | − | 0.773458i | \(-0.718525\pi\) | ||||
−0.633848 | + | 0.773458i | \(0.718525\pi\) | |||||||
\(558\) | −28.6039 | + | 15.3736i | −1.21090 | + | 0.650815i | ||||
\(559\) | −0.654059 | −0.0276638 | ||||||||
\(560\) | 9.37585 | − | 16.2395i | 0.396202 | − | 0.686242i | ||||
\(561\) | −14.8742 | + | 52.3141i | −0.627989 | + | 2.20870i | ||||
\(562\) | 5.95483 | + | 10.3141i | 0.251189 | + | 0.435073i | ||||
\(563\) | −16.8080 | − | 29.1123i | −0.708372 | − | 1.22694i | −0.965461 | − | 0.260548i | \(-0.916097\pi\) |
0.257089 | − | 0.966388i | \(-0.417237\pi\) | |||||||
\(564\) | 76.0684 | − | 19.1469i | 3.20306 | − | 0.806231i | ||||
\(565\) | −6.83370 | + | 11.8363i | −0.287496 | + | 0.497958i | ||||
\(566\) | −32.4370 | −1.36343 | ||||||||
\(567\) | 12.1019 | + | 24.2588i | 0.508230 | + | 1.01877i | ||||
\(568\) | 11.8538 | 0.497374 | ||||||||
\(569\) | −19.6028 | + | 33.9530i | −0.821792 | + | 1.42339i | 0.0825545 | + | 0.996587i | \(0.473692\pi\) |
−0.904347 | + | 0.426799i | \(0.859641\pi\) | |||||||
\(570\) | 24.9581 | − | 6.28212i | 1.04538 | − | 0.263129i | ||||
\(571\) | 6.88909 | + | 11.9322i | 0.288299 | + | 0.499349i | 0.973404 | − | 0.229096i | \(-0.0735769\pi\) |
−0.685105 | + | 0.728445i | \(0.740244\pi\) | |||||||
\(572\) | 12.5034 | + | 21.6565i | 0.522793 | + | 0.905504i | ||||
\(573\) | 0.337310 | − | 1.18636i | 0.0140913 | − | 0.0495607i | ||||
\(574\) | 24.9073 | − | 43.1407i | 1.03961 | − | 1.80066i | ||||
\(575\) | 8.39117 | 0.349936 | ||||||||
\(576\) | −7.31920 | + | 3.93381i | −0.304967 | + | 0.163909i | ||||
\(577\) | 25.4974 | 1.06147 | 0.530736 | − | 0.847537i | \(-0.321916\pi\) | ||||
0.530736 | + | 0.847537i | \(0.321916\pi\) | |||||||
\(578\) | −16.1805 | + | 28.0254i | −0.673019 | + | 1.16570i | ||||
\(579\) | −24.9620 | − | 25.7334i | −1.03738 | − | 1.06944i | ||||
\(580\) | 7.34086 | + | 12.7147i | 0.304813 | + | 0.527951i | ||||
\(581\) | 9.28136 | + | 16.0758i | 0.385056 | + | 0.666936i | ||||
\(582\) | 18.9921 | + | 19.5790i | 0.787248 | + | 0.811576i | ||||
\(583\) | 17.3440 | − | 30.0406i | 0.718313 | − | 1.24416i | ||||
\(584\) | 73.7526 | 3.05191 | ||||||||
\(585\) | 0.0912764 | − | 2.99861i | 0.00377381 | − | 0.123977i | ||||
\(586\) | −64.2179 | −2.65282 | ||||||||
\(587\) | 15.3142 | − | 26.5249i | 0.632083 | − | 1.09480i | −0.355042 | − | 0.934850i | \(-0.615534\pi\) |
0.987125 | − | 0.159949i | \(-0.0511331\pi\) | |||||||
\(588\) | 4.27274 | − | 15.0277i | 0.176205 | − | 0.619731i | ||||
\(589\) | 12.6639 | + | 21.9344i | 0.521805 | + | 0.903793i | ||||
\(590\) | 9.52400 | + | 16.4960i | 0.392097 | + | 0.679131i | ||||
\(591\) | 42.3147 | − | 10.6509i | 1.74060 | − | 0.438119i | ||||
\(592\) | 13.3764 | − | 23.1686i | 0.549766 | − | 0.952222i | ||||
\(593\) | 29.5710 | 1.21433 | 0.607167 | − | 0.794574i | \(-0.292306\pi\) | ||||
0.607167 | + | 0.794574i | \(0.292306\pi\) | |||||||
\(594\) | −71.7387 | − | 22.7779i | −2.94347 | − | 0.934589i | ||||
\(595\) | −16.4549 | −0.674587 | ||||||||
\(596\) | 35.5899 | − | 61.6435i | 1.45782 | − | 2.52501i | ||||
\(597\) | 1.16306 | − | 0.292749i | 0.0476008 | − | 0.0119814i | ||||
\(598\) | −10.5729 | − | 18.3128i | −0.432357 | − | 0.748865i | ||||
\(599\) | −0.625518 | − | 1.08343i | −0.0255580 | − | 0.0442677i | 0.852964 | − | 0.521971i | \(-0.174803\pi\) |
−0.878521 | + | 0.477703i | \(0.841470\pi\) | |||||||
\(600\) | 2.80568 | − | 9.86788i | 0.114542 | − | 0.402855i | ||||
\(601\) | 5.36808 | − | 9.29779i | 0.218969 | − | 0.379265i | −0.735524 | − | 0.677498i | \(-0.763064\pi\) |
0.954493 | + | 0.298234i | \(0.0963974\pi\) | |||||||
\(602\) | −4.96481 | −0.202351 | ||||||||
\(603\) | −14.5329 | − | 8.99098i | −0.591827 | − | 0.366141i | ||||
\(604\) | −26.0337 | −1.05930 | ||||||||
\(605\) | 11.0206 | − | 19.0882i | 0.448050 | − | 0.776046i | ||||
\(606\) | −18.0999 | − | 18.6592i | −0.735258 | − | 0.757979i | ||||
\(607\) | −17.8389 | − | 30.8979i | −0.724059 | − | 1.25411i | −0.959360 | − | 0.282184i | \(-0.908941\pi\) |
0.235302 | − | 0.971922i | \(-0.424392\pi\) | |||||||
\(608\) | −11.3257 | − | 19.6167i | −0.459317 | − | 0.795560i | ||||
\(609\) | 12.2594 | + | 12.6382i | 0.496775 | + | 0.512127i | ||||
\(610\) | 7.58716 | − | 13.1413i | 0.307195 | − | 0.532078i | ||||
\(611\) | −10.4100 | −0.421146 | ||||||||
\(612\) | −60.6306 | − | 37.5099i | −2.45085 | − | 1.51625i | ||||
\(613\) | 40.1588 | 1.62200 | 0.810999 | − | 0.585048i | \(-0.198924\pi\) | ||||
0.810999 | + | 0.585048i | \(0.198924\pi\) | |||||||
\(614\) | 39.6306 | − | 68.6422i | 1.59936 | − | 2.77017i | ||||
\(615\) | 3.10860 | − | 10.9333i | 0.125351 | − | 0.440873i | ||||
\(616\) | 51.2775 | + | 88.8152i | 2.06603 | + | 3.57847i | ||||
\(617\) | 4.57365 | + | 7.92179i | 0.184128 | + | 0.318919i | 0.943282 | − | 0.331991i | \(-0.107721\pi\) |
−0.759154 | + | 0.650911i | \(0.774387\pi\) | |||||||
\(618\) | 26.9547 | − | 6.78468i | 1.08428 | − | 0.272920i | ||||
\(619\) | 19.2689 | − | 33.3747i | 0.774481 | − | 1.34144i | −0.160604 | − | 0.987019i | \(-0.551344\pi\) |
0.935086 | − | 0.354422i | \(-0.115322\pi\) | |||||||
\(620\) | 18.6869 | 0.750483 | ||||||||
\(621\) | 41.5573 | + | 13.1950i | 1.66764 | + | 0.529495i | ||||
\(622\) | −15.3219 | −0.614351 | ||||||||
\(623\) | −3.40084 | + | 5.89042i | −0.136252 | + | 0.235995i | ||||
\(624\) | −10.4563 | + | 2.63191i | −0.418586 | + | 0.105361i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 9.92223 | + | 17.1858i | 0.396572 | + | 0.686883i | ||||
\(627\) | −16.0550 | + | 56.4673i | −0.641176 | + | 2.25508i | ||||
\(628\) | −13.5494 | + | 23.4682i | −0.540680 | + | 0.936484i | ||||
\(629\) | −23.4760 | −0.936050 | ||||||||
\(630\) | 0.692858 | − | 22.7618i | 0.0276041 | − | 0.906850i | ||||
\(631\) | −20.8431 | −0.829749 | −0.414875 | − | 0.909879i | \(-0.636175\pi\) | ||||
−0.414875 | + | 0.909879i | \(0.636175\pi\) | |||||||
\(632\) | −40.4167 | + | 70.0039i | −1.60769 | + | 2.78460i | ||||
\(633\) | 4.27950 | + | 4.41175i | 0.170095 | + | 0.175351i | ||||
\(634\) | 24.7406 | + | 42.8521i | 0.982577 | + | 1.70187i | ||||
\(635\) | 2.18724 | + | 3.78842i | 0.0867981 | + | 0.150339i | ||||
\(636\) | 31.6604 | + | 32.6388i | 1.25542 | + | 1.29421i | ||||
\(637\) | −1.03670 | + | 1.79561i | −0.0410755 | + | 0.0711448i | ||||
\(638\) | −48.8850 | −1.93538 | ||||||||
\(639\) | 5.28846 | − | 2.84237i | 0.209208 | − | 0.112442i | ||||
\(640\) | 14.6629 | 0.579604 | ||||||||
\(641\) | 2.52917 | − | 4.38065i | 0.0998962 | − | 0.173025i | −0.811745 | − | 0.584012i | \(-0.801482\pi\) |
0.911642 | + | 0.410986i | \(0.134816\pi\) | |||||||
\(642\) | 15.2785 | − | 53.7360i | 0.602993 | − | 2.12079i | ||||
\(643\) | −0.555778 | − | 0.962636i | −0.0219177 | − | 0.0379627i | 0.854858 | − | 0.518861i | \(-0.173644\pi\) |
−0.876776 | + | 0.480899i | \(0.840311\pi\) | |||||||
\(644\) | −54.9803 | − | 95.2287i | −2.16653 | − | 3.75254i | ||||
\(645\) | −1.09860 | + | 0.276524i | −0.0432572 | + | 0.0108881i | ||||
\(646\) | −40.5855 | + | 70.2962i | −1.59682 | + | 2.76577i | ||||
\(647\) | −4.82790 | −0.189804 | −0.0949022 | − | 0.995487i | \(-0.530254\pi\) | ||||
−0.0949022 | + | 0.995487i | \(0.530254\pi\) | |||||||
\(648\) | 29.4122 | − | 44.4589i | 1.15542 | − | 1.74651i | ||||
\(649\) | −43.4486 | −1.70551 | ||||||||
\(650\) | −1.26000 | + | 2.18239i | −0.0494213 | + | 0.0856002i | ||||
\(651\) | 21.7327 | − | 5.47026i | 0.851770 | − | 0.214396i | ||||
\(652\) | 5.27139 | + | 9.13031i | 0.206443 | + | 0.357570i | ||||
\(653\) | 9.02813 | + | 15.6372i | 0.353298 | + | 0.611930i | 0.986825 | − | 0.161790i | \(-0.0517268\pi\) |
−0.633527 | + | 0.773720i | \(0.718393\pi\) | |||||||
\(654\) | 11.2767 | − | 39.6614i | 0.440955 | − | 1.55089i | ||||
\(655\) | −6.63317 | + | 11.4890i | −0.259179 | + | 0.448912i | ||||
\(656\) | −40.8533 | −1.59505 | ||||||||
\(657\) | 32.9041 | − | 17.6848i | 1.28371 | − | 0.689950i | ||||
\(658\) | −79.0203 | −3.08053 | ||||||||
\(659\) | 15.9174 | − | 27.5698i | 0.620054 | − | 1.07397i | −0.369421 | − | 0.929262i | \(-0.620444\pi\) |
0.989475 | − | 0.144703i | \(-0.0462228\pi\) | |||||||
\(660\) | 30.1574 | + | 31.0893i | 1.17388 | + | 1.21015i | ||||
\(661\) | −6.91126 | − | 11.9706i | −0.268817 | − | 0.465604i | 0.699740 | − | 0.714398i | \(-0.253299\pi\) |
−0.968557 | + | 0.248794i | \(0.919966\pi\) | |||||||
\(662\) | 4.19092 | + | 7.25889i | 0.162885 | + | 0.282125i | ||||
\(663\) | 6.58791 | + | 6.79149i | 0.255853 | + | 0.263760i | ||||
\(664\) | 18.2503 | − | 31.6105i | 0.708250 | − | 1.22673i | ||||
\(665\) | −17.7613 | −0.688753 | ||||||||
\(666\) | 0.988490 | − | 32.4739i | 0.0383032 | − | 1.25834i | ||||
\(667\) | 28.3185 | 1.09649 | ||||||||
\(668\) | −10.7995 | + | 18.7052i | −0.417843 | + | 0.723726i | ||||
\(669\) | −0.342365 | + | 1.20413i | −0.0132366 | + | 0.0465545i | ||||
\(670\) | 7.17750 | + | 12.4318i | 0.277291 | + | 0.480282i | ||||
\(671\) | 17.3064 | + | 29.9755i | 0.668105 | + | 1.15719i | ||||
\(672\) | −19.4362 | + | 4.89222i | −0.749768 | + | 0.188722i | ||||
\(673\) | 2.29266 | − | 3.97100i | 0.0883754 | − | 0.153071i | −0.818449 | − | 0.574579i | \(-0.805166\pi\) |
0.906825 | + | 0.421508i | \(0.138499\pi\) | |||||||
\(674\) | −68.9247 | −2.65488 | ||||||||
\(675\) | −1.11444 | − | 5.07524i | −0.0428950 | − | 0.195346i | ||||
\(676\) | 4.35041 | 0.167323 | ||||||||
\(677\) | 2.08724 | − | 3.61521i | 0.0802193 | − | 0.138944i | −0.823125 | − | 0.567861i | \(-0.807771\pi\) |
0.903344 | + | 0.428917i | \(0.141105\pi\) | |||||||
\(678\) | 57.8506 | − | 14.5614i | 2.22174 | − | 0.559227i | ||||
\(679\) | −9.41219 | − | 16.3024i | −0.361207 | − | 0.625628i | ||||
\(680\) | 16.1780 | + | 28.0212i | 0.620399 | + | 1.07456i | ||||
\(681\) | −9.31966 | + | 32.7782i | −0.357130 | + | 1.25607i | ||||
\(682\) | −31.1104 | + | 53.8848i | −1.19128 | + | 2.06335i | ||||
\(683\) | 18.6465 | 0.713489 | 0.356744 | − | 0.934202i | \(-0.383887\pi\) | ||||
0.356744 | + | 0.934202i | \(0.383887\pi\) | |||||||
\(684\) | −65.4440 | − | 40.4877i | −2.50231 | − | 1.54809i | ||||
\(685\) | 10.6214 | 0.405824 | ||||||||
\(686\) | 18.6984 | − | 32.3865i | 0.713907 | − | 1.23652i | ||||
\(687\) | 5.44706 | + | 5.61539i | 0.207818 | + | 0.214241i | ||||
\(688\) | 2.03584 | + | 3.52617i | 0.0776155 | + | 0.134434i | ||||
\(689\) | −3.01731 | − | 5.22614i | −0.114951 | − | 0.199100i | ||||
\(690\) | −25.5011 | − | 26.2892i | −0.970812 | − | 1.00081i | ||||
\(691\) | 0.918602 | − | 1.59106i | 0.0349453 | − | 0.0605270i | −0.848024 | − | 0.529958i | \(-0.822208\pi\) |
0.882969 | + | 0.469431i | \(0.155541\pi\) | |||||||
\(692\) | −11.6068 | −0.441226 | ||||||||
\(693\) | 44.1736 | + | 27.3286i | 1.67802 | + | 1.03813i | ||||
\(694\) | −62.6051 | −2.37646 | ||||||||
\(695\) | 2.22628 | − | 3.85603i | 0.0844476 | − | 0.146267i | ||||
\(696\) | 9.46860 | − | 33.3021i | 0.358906 | − | 1.26231i | ||||
\(697\) | 17.9247 | + | 31.0465i | 0.678947 | + | 1.17597i | ||||
\(698\) | 2.30723 | + | 3.99624i | 0.0873299 | + | 0.151260i | ||||
\(699\) | −1.90668 | + | 0.479925i | −0.0721174 | + | 0.0181524i | ||||
\(700\) | −6.55217 | + | 11.3487i | −0.247649 | + | 0.428940i | ||||
\(701\) | −48.5393 | −1.83330 | −0.916652 | − | 0.399687i | \(-0.869119\pi\) | ||||
−0.916652 | + | 0.399687i | \(0.869119\pi\) | |||||||
\(702\) | −9.67192 | + | 8.82695i | −0.365043 | + | 0.333152i | ||||
\(703\) | −25.3397 | −0.955706 | ||||||||
\(704\) | −7.96057 | + | 13.7881i | −0.300025 | + | 0.519659i | ||||
\(705\) | −17.4853 | + | 4.40118i | −0.658536 | + | 0.165758i | ||||
\(706\) | −26.7881 | − | 46.3984i | −1.00818 | − | 1.74623i | ||||
\(707\) | 8.97003 | + | 15.5365i | 0.337353 | + | 0.584312i | ||||
\(708\) | 15.5766 | − | 54.7846i | 0.585405 | − | 2.05893i | ||||
\(709\) | 20.0104 | − | 34.6591i | 0.751507 | − | 1.30165i | −0.195585 | − | 0.980687i | \(-0.562661\pi\) |
0.947092 | − | 0.320962i | \(-0.104006\pi\) | |||||||
\(710\) | −5.04329 | −0.189271 | ||||||||
\(711\) | −1.24568 | + | 40.9230i | −0.0467166 | + | 1.53473i | ||||
\(712\) | 13.3744 | 0.501228 | ||||||||
\(713\) | 18.0218 | − | 31.2148i | 0.674923 | − | 1.16900i | ||||
\(714\) | 50.0073 | + | 51.5527i | 1.87148 | + | 1.92931i | ||||
\(715\) | −2.87407 | − | 4.97804i | −0.107484 | − | 0.186168i | ||||
\(716\) | 30.4373 | + | 52.7190i | 1.13750 | + | 1.97020i | ||||
\(717\) | 13.0341 | + | 13.4369i | 0.486769 | + | 0.501812i | ||||
\(718\) | 5.62459 | − | 9.74207i | 0.209908 | − | 0.363571i | ||||
\(719\) | −28.6704 | −1.06923 | −0.534613 | − | 0.845097i | \(-0.679543\pi\) | ||||
−0.534613 | + | 0.845097i | \(0.679543\pi\) | |||||||
\(720\) | −16.4503 | + | 8.84144i | −0.613065 | + | 0.329501i | ||||
\(721\) | −19.1822 | −0.714381 | ||||||||
\(722\) | −19.8676 | + | 34.4116i | −0.739394 | + | 1.28067i | ||||
\(723\) | −3.61669 | + | 12.7203i | −0.134506 | + | 0.473072i | ||||
\(724\) | −18.0269 | − | 31.2235i | −0.669965 | − | 1.16041i | ||||
\(725\) | −1.68740 | − | 2.92266i | −0.0626683 | − | 0.108545i | ||||
\(726\) | −93.2946 | + | 23.4829i | −3.46249 | + | 0.871531i | ||||
\(727\) | −18.6530 | + | 32.3080i | −0.691802 | + | 1.19824i | 0.279445 | + | 0.960162i | \(0.409850\pi\) |
−0.971247 | + | 0.238074i | \(0.923484\pi\) | |||||||
\(728\) | 17.8414 | 0.661246 | ||||||||
\(729\) | 2.46142 | − | 26.8876i | 0.0911637 | − | 0.995836i | ||||
\(730\) | −31.3786 | −1.16138 | ||||||||
\(731\) | 1.78648 | − | 3.09428i | 0.0660754 | − | 0.114446i | ||||
\(732\) | −44.0007 | + | 11.0753i | −1.62631 | + | 0.409354i | ||||
\(733\) | 6.38139 | + | 11.0529i | 0.235702 | + | 0.408248i | 0.959476 | − | 0.281789i | \(-0.0909277\pi\) |
−0.723774 | + | 0.690037i | \(0.757594\pi\) | |||||||
\(734\) | −28.8107 | − | 49.9016i | −1.06342 | − | 1.84190i | ||||
\(735\) | −0.982147 | + | 3.45432i | −0.0362270 | + | 0.127414i | ||||
\(736\) | −16.1175 | + | 27.9163i | −0.594099 | + | 1.02901i | ||||
\(737\) | −32.7439 | −1.20614 | ||||||||
\(738\) | −43.7007 | + | 23.4876i | −1.60865 | + | 0.864591i | ||||
\(739\) | 20.5383 | 0.755512 | 0.377756 | − | 0.925905i | \(-0.376696\pi\) | ||||
0.377756 | + | 0.925905i | \(0.376696\pi\) | |||||||
\(740\) | −9.34788 | + | 16.1910i | −0.343635 | + | 0.595193i | ||||
\(741\) | 7.11091 | + | 7.33066i | 0.261226 | + | 0.269299i | ||||
\(742\) | −22.9037 | − | 39.6704i | −0.840823 | − | 1.45635i | ||||
\(743\) | −10.5260 | − | 18.2315i | −0.386161 | − | 0.668850i | 0.605769 | − | 0.795641i | \(-0.292866\pi\) |
−0.991930 | + | 0.126790i | \(0.959532\pi\) | |||||||
\(744\) | −30.6822 | − | 31.6304i | −1.12487 | − | 1.15963i | ||||
\(745\) | −8.18081 | + | 14.1696i | −0.299722 | + | 0.519133i | ||||
\(746\) | 44.9545 | 1.64590 | ||||||||
\(747\) | 0.562491 | − | 18.4789i | 0.0205805 | − | 0.676109i | ||||
\(748\) | −136.606 | −4.99480 | ||||||||
\(749\) | −19.2770 | + | 33.3888i | −0.704367 | + | 1.22000i | ||||
\(750\) | −1.19370 | + | 4.19837i | −0.0435878 | + | 0.153303i | ||||
\(751\) | −4.04719 | − | 7.00993i | −0.147684 | − | 0.255796i | 0.782687 | − | 0.622415i | \(-0.213849\pi\) |
−0.930371 | + | 0.366619i | \(0.880515\pi\) | |||||||
\(752\) | 32.4025 | + | 56.1228i | 1.18160 | + | 2.04659i | ||||
\(753\) | −11.2822 | + | 2.83981i | −0.411146 | + | 0.103488i | ||||
\(754\) | −4.25224 | + | 7.36510i | −0.154858 | + | 0.268221i | ||||
\(755\) | 5.98419 | 0.217787 | ||||||||
\(756\) | −50.2952 | + | 45.9013i | −1.82922 | + | 1.66941i | ||||
\(757\) | 16.9554 | 0.616254 | 0.308127 | − | 0.951345i | \(-0.400298\pi\) | ||||
0.308127 | + | 0.951345i | \(0.400298\pi\) | |||||||
\(758\) | −30.7659 | + | 53.2880i | −1.11747 | + | 1.93551i | ||||
\(759\) | 81.0161 | − | 20.3923i | 2.94070 | − | 0.740193i | ||||
\(760\) | 17.4624 | + | 30.2457i | 0.633427 | + | 1.09713i | ||||
\(761\) | −19.3135 | − | 33.4520i | −0.700115 | − | 1.21263i | −0.968426 | − | 0.249302i | \(-0.919799\pi\) |
0.268311 | − | 0.963332i | \(-0.413535\pi\) | |||||||
\(762\) | 5.22182 | − | 18.3657i | 0.189167 | − | 0.665319i | ||||
\(763\) | −14.2280 | + | 24.6436i | −0.515087 | + | 0.892157i | ||||
\(764\) | 3.09788 | 0.112078 | ||||||||
\(765\) | 13.9368 | + | 8.62215i | 0.503885 | + | 0.311734i | ||||
\(766\) | −81.3006 | −2.93751 | ||||||||
\(767\) | −3.77936 | + | 6.54605i | −0.136465 | + | 0.236364i | ||||
\(768\) | −37.8808 | − | 39.0514i | −1.36691 | − | 1.40915i | ||||
\(769\) | −10.7547 | − | 18.6277i | −0.387825 | − | 0.671733i | 0.604331 | − | 0.796733i | \(-0.293440\pi\) |
−0.992157 | + | 0.125000i | \(0.960107\pi\) | |||||||
\(770\) | −21.8164 | − | 37.7871i | −0.786209 | − | 1.36175i | ||||
\(771\) | 27.1735 | + | 28.0133i | 0.978631 | + | 1.00887i | ||||
\(772\) | 45.0238 | − | 77.9836i | 1.62044 | − | 2.80669i | ||||
\(773\) | −38.8254 | −1.39645 | −0.698226 | − | 0.715878i | \(-0.746027\pi\) | ||||
−0.698226 | + | 0.715878i | \(0.746027\pi\) | |||||||
\(774\) | 4.20502 | + | 2.60149i | 0.151146 | + | 0.0935086i | ||||
\(775\) | −4.29543 | −0.154296 | ||||||||
\(776\) | −18.5076 | + | 32.0561i | −0.664384 | + | 1.15075i | ||||
\(777\) | −6.13186 | + | 21.5664i | −0.219979 | + | 0.773690i | ||||
\(778\) | 25.0246 | + | 43.3439i | 0.897176 | + | 1.55395i | ||||
\(779\) | 19.3477 | + | 33.5113i | 0.693205 | + | 1.20067i | ||||
\(780\) | 7.30720 | − | 1.83927i | 0.261640 | − | 0.0658565i | ||||
\(781\) | 5.75189 | − | 9.96256i | 0.205819 | − | 0.356488i | ||||
\(782\) | 115.514 | 4.13077 | ||||||||
\(783\) | −3.76102 | − | 17.1279i | −0.134408 | − | 0.612100i | ||||
\(784\) | 12.9074 | 0.460978 | ||||||||
\(785\) | 3.11451 | − | 5.39449i | 0.111162 | − | 0.192538i | ||||
\(786\) | 56.1530 | − | 14.1341i | 2.00291 | − | 0.504146i | ||||
\(787\) | −18.8610 | − | 32.6683i | −0.672324 | − | 1.16450i | −0.977244 | − | 0.212121i | \(-0.931963\pi\) |
0.304920 | − | 0.952378i | \(-0.401370\pi\) | |||||||
\(788\) | 54.7987 | + | 94.9142i | 1.95212 | + | 3.38118i | ||||
\(789\) | 6.56728 | − | 23.0978i | 0.233801 | − | 0.822304i | ||||
\(790\) | 17.1956 | − | 29.7837i | 0.611793 | − | 1.05966i | ||||
\(791\) | −41.1691 | −1.46380 | ||||||||
\(792\) | 3.10764 | − | 102.092i | 0.110425 | − | 3.62768i | ||||
\(793\) | 6.02155 | 0.213832 | ||||||||
\(794\) | −0.271800 | + | 0.470771i | −0.00964582 | + | 0.0167070i | ||||
\(795\) | −7.27758 | − | 7.50247i | −0.258109 | − | 0.266085i | ||||
\(796\) | 1.50619 | + | 2.60880i | 0.0533855 | + | 0.0924665i | ||||
\(797\) | 16.8403 | + | 29.1682i | 0.596513 | + | 1.03319i | 0.993331 | + | 0.115294i | \(0.0367810\pi\) |
−0.396818 | + | 0.917897i | \(0.629886\pi\) | |||||||
\(798\) | 53.9773 | + | 55.6453i | 1.91078 | + | 1.96982i | ||||
\(799\) | 28.4338 | − | 49.2487i | 1.00591 | − | 1.74229i | ||||
\(800\) | 3.84154 | 0.135819 | ||||||||
\(801\) | 5.96689 | − | 3.20699i | 0.210830 | − | 0.113314i | ||||
\(802\) | 47.3947 | 1.67356 | ||||||||
\(803\) | 35.7875 | − | 61.9857i | 1.26291 | − | 2.18743i | ||||
\(804\) | 11.7389 | − | 41.2869i | 0.413999 | − | 1.45608i | ||||
\(805\) | 12.6380 | + | 21.8896i | 0.445430 | + | 0.771507i | ||||
\(806\) | 5.41225 | + | 9.37429i | 0.190638 | + | 0.330195i | ||||
\(807\) | −6.36477 | + | 1.60206i | −0.224051 | + | 0.0563951i | ||||
\(808\) | 17.6381 | − | 30.5502i | 0.620508 | − | 1.07475i | ||||
\(809\) | −27.7726 | −0.976432 | −0.488216 | − | 0.872723i | \(-0.662352\pi\) | ||||
−0.488216 | + | 0.872723i | \(0.662352\pi\) | |||||||
\(810\) | −12.5137 | + | 18.9154i | −0.439685 | + | 0.664618i | ||||
\(811\) | 19.6682 | 0.690645 | 0.345323 | − | 0.938484i | \(-0.387770\pi\) | ||||
0.345323 | + | 0.938484i | \(0.387770\pi\) | |||||||
\(812\) | −22.1122 | + | 38.2995i | −0.775986 | + | 1.34405i | ||||
\(813\) | 14.5601 | − | 3.66488i | 0.510646 | − | 0.128533i | ||||
\(814\) | −31.1251 | − | 53.9103i | −1.09094 | − | 1.88956i | ||||
\(815\) | −1.21170 | − | 2.09872i | −0.0424440 | − | 0.0735151i | ||||
\(816\) | 16.1087 | − | 56.6561i | 0.563919 | − | 1.98336i | ||||
\(817\) | 1.92831 | − | 3.33993i | 0.0674629 | − | 0.116849i | ||||
\(818\) | 3.13536 | 0.109625 | ||||||||
\(819\) | 7.95979 | − | 4.27811i | 0.278138 | − | 0.149489i | ||||
\(820\) | 28.5497 | 0.996998 | ||||||||
\(821\) | 7.54642 | − | 13.0708i | 0.263372 | − | 0.456173i | −0.703764 | − | 0.710434i | \(-0.748499\pi\) |
0.967136 | + | 0.254260i | \(0.0818321\pi\) | |||||||
\(822\) | −32.2790 | − | 33.2765i | −1.12586 | − | 1.16065i | ||||
\(823\) | 8.26909 | + | 14.3225i | 0.288242 | + | 0.499251i | 0.973390 | − | 0.229153i | \(-0.0735958\pi\) |
−0.685148 | + | 0.728404i | \(0.740262\pi\) | |||||||
\(824\) | 18.8594 | + | 32.6654i | 0.656997 | + | 1.13795i | ||||
\(825\) | −6.93209 | − | 7.14631i | −0.241344 | − | 0.248802i | ||||
\(826\) | −28.6883 | + | 49.6895i | −0.998192 | + | 1.72892i | ||||
\(827\) | 50.4211 | 1.75331 | 0.876656 | − | 0.481117i | \(-0.159769\pi\) | ||||
0.876656 | + | 0.481117i | \(0.159769\pi\) | |||||||
\(828\) | −3.33205 | + | 109.464i | −0.115797 | + | 3.80415i | ||||
\(829\) | −27.0835 | −0.940650 | −0.470325 | − | 0.882493i | \(-0.655863\pi\) | ||||
−0.470325 | + | 0.882493i | \(0.655863\pi\) | |||||||
\(830\) | −7.76475 | + | 13.4489i | −0.269518 | + | 0.466820i | ||||
\(831\) | −5.84663 | + | 20.5632i | −0.202817 | + | 0.713330i | ||||
\(832\) | 1.38489 | + | 2.39871i | 0.0480126 | + | 0.0831602i | ||||
\(833\) | −5.66322 | − | 9.80899i | −0.196219 | − | 0.339861i | ||||
\(834\) | −18.8465 | + | 4.74380i | −0.652602 | + | 0.164264i | ||||
\(835\) | 2.48240 | − | 4.29964i | 0.0859070 | − | 0.148795i | ||||
\(836\) | −147.451 | −5.09969 | ||||||||
\(837\) | −21.2731 | − | 6.75448i | −0.735308 | − | 0.233469i | ||||
\(838\) | 85.6301 | 2.95804 | ||||||||
\(839\) | −17.5713 | + | 30.4343i | −0.606628 | + | 1.05071i | 0.385164 | + | 0.922848i | \(0.374145\pi\) |
−0.991792 | + | 0.127862i | \(0.959189\pi\) | |||||||
\(840\) | 29.9675 | − | 7.54302i | 1.03398 | − | 0.260259i | ||||
\(841\) | 8.80539 | + | 15.2514i | 0.303634 | + | 0.525910i | ||||
\(842\) | 13.9384 | + | 24.1421i | 0.480350 | + | 0.831991i | ||||
\(843\) | −2.23868 | + | 7.87369i | −0.0771044 | + | 0.271184i | ||||
\(844\) | −7.71893 | + | 13.3696i | −0.265697 | + | 0.460200i | ||||
\(845\) | −1.00000 | −0.0344010 | ||||||||
\(846\) | 66.9274 | + | 41.4055i | 2.30101 | + | 1.42355i | ||||
\(847\) | 66.3926 | 2.28128 | ||||||||
\(848\) | −18.7835 | + | 32.5340i | −0.645028 | + | 1.11722i | ||||
\(849\) | −15.5230 | − | 16.0027i | −0.532749 | − | 0.549213i | ||||
\(850\) | −6.88307 | − | 11.9218i | −0.236087 | − | 0.408915i | ||||
\(851\) | 18.0304 | + | 31.2296i | 0.618074 | + | 1.07054i | ||||
\(852\) | 10.4997 | + | 10.8242i | 0.359715 | + | 0.370832i | ||||
\(853\) | 23.5824 | − | 40.8459i | 0.807446 | − | 1.39854i | −0.107181 | − | 0.994240i | \(-0.534182\pi\) |
0.914627 | − | 0.404298i | \(-0.132484\pi\) | |||||||
\(854\) | 45.7082 | 1.56410 | ||||||||
\(855\) | 15.0432 | + | 9.30665i | 0.514466 | + | 0.318281i | ||||
\(856\) | 75.8104 | 2.59115 | ||||||||
\(857\) | −27.2409 | + | 47.1827i | −0.930532 | + | 1.61173i | −0.148120 | + | 0.988969i | \(0.547322\pi\) |
−0.782413 | + | 0.622760i | \(0.786011\pi\) | |||||||
\(858\) | −6.86156 | + | 24.1328i | −0.234250 | + | 0.823881i | ||||
\(859\) | 13.2504 | + | 22.9503i | 0.452096 | + | 0.783054i | 0.998516 | − | 0.0544578i | \(-0.0173430\pi\) |
−0.546420 | + | 0.837511i | \(0.684010\pi\) | |||||||
\(860\) | −1.42271 | − | 2.46421i | −0.0485141 | − | 0.0840289i | ||||
\(861\) | 33.2030 | − | 8.35741i | 1.13155 | − | 0.284820i | ||||
\(862\) | 37.0163 | − | 64.1142i | 1.26078 | − | 2.18374i | ||||
\(863\) | −34.4594 | −1.17301 | −0.586506 | − | 0.809945i | \(-0.699497\pi\) | ||||
−0.586506 | + | 0.809945i | \(0.699497\pi\) | |||||||
\(864\) | 19.0252 | + | 6.04074i | 0.647252 | + | 0.205510i | ||||
\(865\) | 2.66799 | 0.0907144 | ||||||||
\(866\) | 41.2916 | − | 71.5191i | 1.40314 | − | 2.43032i | ||||
\(867\) | −21.5696 | + | 5.42921i | −0.732542 | + | 0.184386i | ||||
\(868\) | 28.1444 | + | 48.7475i | 0.955283 | + | 1.65460i | ||||
\(869\) | 39.2234 | + | 67.9369i | 1.33056 | + | 2.30460i | ||||
\(870\) | −4.02849 | + | 14.1686i | −0.136579 | + | 0.480361i | ||||
\(871\) | −2.84821 | + | 4.93325i | −0.0965081 | + | 0.167157i | ||||
\(872\) | 55.9541 | 1.89485 | ||||||||
\(873\) | −0.570419 | + | 18.7394i | −0.0193058 | + | 0.634233i | ||||
\(874\) | 124.684 | 4.21752 | ||||||||
\(875\) | 1.50610 | − | 2.60865i | 0.0509156 | − | 0.0881884i | ||||
\(876\) | 65.3280 | + | 67.3468i | 2.20723 | + | 2.27544i | ||||
\(877\) | 10.7961 | + | 18.6994i | 0.364558 | + | 0.631433i | 0.988705 | − | 0.149874i | \(-0.0478867\pi\) |
−0.624147 | + | 0.781307i | \(0.714553\pi\) | |||||||
\(878\) | −5.10320 | − | 8.83900i | −0.172225 | − | 0.298302i | ||||
\(879\) | −30.7321 | − | 31.6818i | −1.03657 | − | 1.06860i | ||||
\(880\) | −17.8918 | + | 30.9895i | −0.603132 | + | 1.04465i | ||||
\(881\) | 47.3112 | 1.59396 | 0.796978 | − | 0.604009i | \(-0.206431\pi\) | ||||
0.796978 | + | 0.604009i | \(0.206431\pi\) | |||||||
\(882\) | 13.8070 | − | 7.42079i | 0.464906 | − | 0.249871i | ||||
\(883\) | −5.56289 | −0.187206 | −0.0936031 | − | 0.995610i | \(-0.529838\pi\) | ||||
−0.0936031 | + | 0.995610i | \(0.529838\pi\) | |||||||
\(884\) | −11.8826 | + | 20.5813i | −0.399655 | + | 0.692223i | ||||
\(885\) | −3.58049 | + | 12.5930i | −0.120357 | + | 0.423308i | ||||
\(886\) | 5.88696 | + | 10.1965i | 0.197776 | + | 0.342559i | ||||
\(887\) | −18.2066 | − | 31.5348i | −0.611318 | − | 1.05883i | −0.991019 | − | 0.133724i | \(-0.957306\pi\) |
0.379701 | − | 0.925109i | \(-0.376027\pi\) | |||||||
\(888\) | 42.7541 | − | 10.7615i | 1.43474 | − | 0.361132i | ||||
\(889\) | −6.58843 | + | 11.4115i | −0.220969 | + | 0.382729i | ||||
\(890\) | −5.69026 | −0.190738 | ||||||||
\(891\) | −23.0938 | − | 46.2927i | −0.773670 | − | 1.55086i | ||||
\(892\) | −3.14431 | −0.105279 | ||||||||
\(893\) | 30.6911 | − | 53.1585i | 1.02704 | − | 1.77888i | ||||
\(894\) | 69.2546 | − | 17.4318i | 2.31622 | − | 0.583008i | ||||
\(895\) | −6.99643 | − | 12.1182i | −0.233865 | − | 0.405066i | ||||
\(896\) | 22.0839 | + | 38.2505i | 0.737772 | + | 1.27786i | ||||
\(897\) | 3.97481 | − | 13.9798i | 0.132715 | − | 0.466773i | ||||
\(898\) | 31.9199 | − | 55.2869i | 1.06518 | − | 1.84495i | ||||
\(899\) | −14.4962 | −0.483475 | ||||||||
\(900\) | 11.4960 | − | 6.17870i | 0.383200 | − | 0.205957i | ||||
\(901\) | 32.9657 | 1.09825 | ||||||||
\(902\) | −47.5302 | + | 82.3247i | −1.58258 | + | 2.74111i | ||||
\(903\) | −2.37596 | − | 2.44938i | −0.0790668 | − | 0.0815102i | ||||
\(904\) | 40.4762 | + | 70.1069i | 1.34622 | + | 2.33172i | ||||
\(905\) | 4.14373 | + | 7.17715i | 0.137742 | + | 0.238576i | ||||
\(906\) | −18.1862 | − | 18.7482i | −0.604197 | − | 0.622868i | ||||
\(907\) | −22.0460 | + | 38.1848i | −0.732025 | + | 1.26791i | 0.223991 | + | 0.974591i | \(0.428091\pi\) |
−0.956016 | + | 0.293314i | \(0.905242\pi\) | |||||||
\(908\) | −85.5925 | −2.84049 | ||||||||
\(909\) | 0.543622 | − | 17.8591i | 0.0180308 | − | 0.592348i | ||||
\(910\) | −7.59077 | −0.251632 | ||||||||
\(911\) | 11.3430 | − | 19.6466i | 0.375810 | − | 0.650922i | −0.614638 | − | 0.788809i | \(-0.710698\pi\) |
0.990448 | + | 0.137887i | \(0.0440312\pi\) | |||||||
\(912\) | 17.3876 | − | 61.1540i | 0.575761 | − | 2.02501i | ||||
\(913\) | −17.7115 | − | 30.6772i | −0.586164 | − | 1.01527i | ||||
\(914\) | −1.67170 | − | 2.89547i | −0.0552949 | − | 0.0957737i | ||||
\(915\) | 10.1142 | − | 2.54580i | 0.334364 | − | 0.0841616i | ||||
\(916\) | −9.82486 | + | 17.0172i | −0.324622 | + | 0.562263i | ||||
\(917\) | −39.9610 | −1.31963 | ||||||||
\(918\) | −15.3416 | − | 69.8664i | −0.506348 | − | 2.30593i | ||||
\(919\) | −45.1040 | −1.48784 | −0.743922 | − | 0.668267i | \(-0.767036\pi\) | ||||
−0.743922 | + | 0.668267i | \(0.767036\pi\) | |||||||
\(920\) | 24.8506 | − | 43.0425i | 0.819299 | − | 1.41907i | ||||
\(921\) | 52.8300 | − | 13.2977i | 1.74081 | − | 0.438173i | ||||
\(922\) | −9.73305 | − | 16.8581i | −0.320541 | − | 0.555193i | ||||
\(923\) | −1.00065 | − | 1.73318i | −0.0329368 | − | 0.0570483i | ||||
\(924\) | −35.6810 | + | 125.494i | −1.17382 | + | 4.12844i | ||||
\(925\) | 2.14874 | − | 3.72172i | 0.0706500 | − | 0.122369i | ||||
\(926\) | −26.9201 | −0.884650 | ||||||||
\(927\) | 16.2466 | + | 10.0512i | 0.533609 | + | 0.330124i | ||||
\(928\) | 12.9644 | 0.425577 | ||||||||
\(929\) | −17.5307 | + | 30.3640i | −0.575162 | + | 0.996210i | 0.420862 | + | 0.907125i | \(0.361728\pi\) |
−0.996024 | + | 0.0890855i | \(0.971606\pi\) | |||||||
\(930\) | 13.0540 | + | 13.4574i | 0.428058 | + | 0.441286i | ||||
\(931\) | −6.11282 | − | 10.5877i | −0.200339 | − | 0.346998i | ||||
\(932\) | −2.46921 | − | 4.27679i | −0.0808816 | − | 0.140091i | ||||
\(933\) | −7.33242 | − | 7.55901i | −0.240053 | − | 0.247471i | ||||
\(934\) | −2.63231 | + | 4.55930i | −0.0861318 | + | 0.149185i | ||||
\(935\) | 31.4007 | 1.02691 | ||||||||
\(936\) | −15.1110 | − | 9.34864i | −0.493920 | − | 0.305570i | ||||
\(937\) | −41.2551 | −1.34775 | −0.673873 | − | 0.738847i | \(-0.735370\pi\) | ||||
−0.673873 | + | 0.738847i | \(0.735370\pi\) | |||||||
\(938\) | −21.6201 | + | 37.4472i | −0.705922 | + | 1.22269i | ||||
\(939\) | −3.73021 | + | 13.1195i | −0.121731 | + | 0.428140i | ||||
\(940\) | −22.6440 | − | 39.2205i | −0.738565 | − | 1.27923i | ||||
\(941\) | −12.1782 | − | 21.0932i | −0.396998 | − | 0.687620i | 0.596356 | − | 0.802720i | \(-0.296615\pi\) |
−0.993354 | + | 0.115100i | \(0.963281\pi\) | |||||||
\(942\) | −26.3659 | + | 6.63646i | −0.859046 | + | 0.216228i | ||||
\(943\) | 27.5336 | − | 47.6896i | 0.896618 | − | 1.55299i | ||||
\(944\) | 47.0548 | 1.53150 | ||||||||
\(945\) | 11.5610 | − | 10.5510i | 0.376081 | − | 0.343225i | ||||
\(946\) | 9.47427 | 0.308035 | ||||||||
\(947\) | −26.8071 | + | 46.4313i | −0.871114 | + | 1.50881i | −0.0102687 | + | 0.999947i | \(0.503269\pi\) |
−0.860845 | + | 0.508867i | \(0.830065\pi\) | |||||||
\(948\) | −99.7237 | + | 25.1011i | −3.23888 | + | 0.815247i | ||||
\(949\) | −6.22592 | − | 10.7836i | −0.202102 | − | 0.350051i | ||||
\(950\) | −7.42951 | − | 12.8683i | −0.241045 | − | 0.417502i | ||||
\(951\) | −9.30111 | + | 32.7130i | −0.301609 | + | 1.06079i | ||||
\(952\) | −48.7316 | + | 84.4056i | −1.57940 | + | 2.73560i | ||||
\(953\) | 49.0812 | 1.58990 | 0.794948 | − | 0.606677i | \(-0.207498\pi\) | ||||
0.794948 | + | 0.606677i | \(0.207498\pi\) | |||||||
\(954\) | −1.38807 | + | 45.6007i | −0.0449403 | + | 1.47638i | ||||
\(955\) | −0.712091 | −0.0230427 | ||||||||
\(956\) | −23.5097 | + | 40.7199i | −0.760357 | + | 1.31698i | ||||
\(957\) | −23.3944 | − | 24.1173i | −0.756232 | − | 0.779602i | ||||
\(958\) | −1.59517 | − | 2.76291i | −0.0515376 | − | 0.0892657i | ||||
\(959\) | 15.9970 | + | 27.7076i | 0.516570 | + | 0.894725i | ||||
\(960\) | 3.34028 | + | 3.44350i | 0.107807 | + | 0.111139i | ||||
\(961\) | 6.27463 | − | 10.8680i | 0.202408 | − | 0.350580i | ||||
\(962\) | −10.8296 | −0.349161 | ||||||||
\(963\) | 33.8222 | − | 18.1782i | 1.08990 | − | 0.585786i | ||||
\(964\) | −33.2159 | −1.06981 | ||||||||
\(965\) | −10.3493 | + | 17.9256i | −0.333157 | + | 0.577045i | ||||
\(966\) | 30.1719 | − | 106.118i | 0.970765 | − | 3.41428i | ||||
\(967\) | 2.85399 | + | 4.94326i | 0.0917782 | + | 0.158965i | 0.908259 | − | 0.418407i | \(-0.137412\pi\) |
−0.816481 | + | 0.577372i | \(0.804078\pi\) | |||||||
\(968\) | −65.2753 | − | 113.060i | −2.09803 | − | 3.63389i | ||||
\(969\) | −54.1031 | + | 13.6181i | −1.73804 | + | 0.437476i | ||||
\(970\) | 7.87420 | − | 13.6385i | 0.252825 | − | 0.437906i | ||||
\(971\) | −14.0392 | −0.450538 | −0.225269 | − | 0.974297i | \(-0.572326\pi\) | ||||
−0.225269 | + | 0.974297i | \(0.572326\pi\) | |||||||
\(972\) | 66.6499 | − | 12.5228i | 2.13780 | − | 0.401669i | ||||
\(973\) | 13.4120 | 0.429970 | ||||||||
\(974\) | −26.0315 | + | 45.0880i | −0.834105 | + | 1.44471i | ||||
\(975\) | −1.67966 | + | 0.422782i | −0.0537922 | + | 0.0135398i | ||||
\(976\) | −18.7428 | − | 32.4635i | −0.599942 | − | 1.03913i | ||||
\(977\) | −4.67090 | − | 8.09023i | −0.149435 | − | 0.258830i | 0.781584 | − | 0.623801i | \(-0.214412\pi\) |
−0.931019 | + | 0.364971i | \(0.881079\pi\) | |||||||
\(978\) | −2.89281 | + | 10.1743i | −0.0925019 | + | 0.325339i | ||||
\(979\) | 6.48976 | − | 11.2406i | 0.207414 | − | 0.359251i | ||||
\(980\) | −9.02012 | −0.288137 | ||||||||
\(981\) | 24.9635 | − | 13.4170i | 0.797022 | − | 0.428371i | ||||
\(982\) | −30.5571 | −0.975117 | ||||||||
\(983\) | −16.0956 | + | 27.8784i | −0.513370 | + | 0.889183i | 0.486510 | + | 0.873675i | \(0.338270\pi\) |
−0.999880 | + | 0.0155076i | \(0.995064\pi\) | |||||||
\(984\) | −46.8761 | − | 48.3247i | −1.49436 | − | 1.54053i | ||||
\(985\) | −12.5962 | − | 21.8173i | −0.401349 | − | 0.695157i | ||||
\(986\) | −23.2289 | − | 40.2337i | −0.739760 | − | 1.28130i | ||||
\(987\) | −37.8159 | − | 38.9845i | −1.20369 | − | 1.24089i | ||||
\(988\) | −12.8259 | + | 22.2152i | −0.408047 | + | 0.706759i | ||||
\(989\) | −5.48832 | −0.174518 | ||||||||
\(990\) | −1.32217 | + | 43.4359i | −0.0420213 | + | 1.38048i | ||||
\(991\) | 13.6054 | 0.432189 | 0.216095 | − | 0.976372i | \(-0.430668\pi\) | ||||
0.216095 | + | 0.976372i | \(0.430668\pi\) | |||||||
\(992\) | 8.25053 | − | 14.2903i | 0.261955 | − | 0.453719i | ||||
\(993\) | −1.57555 | + | 5.54139i | −0.0499987 | + | 0.175851i | ||||
\(994\) | −7.59571 | − | 13.1562i | −0.240921 | − | 0.417288i | ||||
\(995\) | −0.346218 | − | 0.599668i | −0.0109759 | − | 0.0190107i | ||||
\(996\) | 45.0306 | − | 11.3345i | 1.42685 | − | 0.359148i | ||||
\(997\) | −4.94972 | + | 8.57317i | −0.156759 | + | 0.271515i | −0.933698 | − | 0.358061i | \(-0.883438\pi\) |
0.776939 | + | 0.629576i | \(0.216771\pi\) | |||||||
\(998\) | 21.1126 | 0.668308 | ||||||||
\(999\) | 16.4940 | − | 15.0530i | 0.521846 | − | 0.476255i |
(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 | 585.2.i.h.196.2 | ✓ | 30 | |
3.2 | odd | 2 | 1755.2.i.h.586.14 | 30 | |||
9.2 | odd | 6 | 5265.2.a.bl.1.2 | 15 | |||
9.4 | even | 3 | inner | 585.2.i.h.391.2 | yes | 30 | |
9.5 | odd | 6 | 1755.2.i.h.1171.14 | 30 | |||
9.7 | even | 3 | 5265.2.a.bk.1.14 | 15 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
585.2.i.h.196.2 | ✓ | 30 | 1.1 | even | 1 | trivial | |
585.2.i.h.391.2 | yes | 30 | 9.4 | even | 3 | inner | |
1755.2.i.h.586.14 | 30 | 3.2 | odd | 2 | |||
1755.2.i.h.1171.14 | 30 | 9.5 | odd | 6 | |||
5265.2.a.bk.1.14 | 15 | 9.7 | even | 3 | |||
5265.2.a.bl.1.2 | 15 | 9.2 | odd | 6 |