Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [87,6,Mod(7,87)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(87, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([0, 6]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("87.7");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 87 = 3 \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 87.g (of order \(7\), degree \(6\), 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: | \(13.9533923237\) |
Analytic rank: | \(0\) |
Dimension: | \(78\) |
Relative dimension: | \(13\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 7.11 | ||
Character | \(\chi\) | \(=\) | 87.7 |
Dual form | 87.6.g.b.25.11 |
$q$-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 \(\left(\mathbb{Z}/87\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(59\) |
\(\chi(n)\) | \(e\left(\frac{3}{7}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.73808 | + | 7.61502i | 0.307252 | + | 1.34616i | 0.858926 | + | 0.512099i | \(0.171132\pi\) |
−0.551674 | + | 0.834060i | \(0.686011\pi\) | |||||||
\(3\) | 8.10872 | + | 3.90495i | 0.520175 | + | 0.250503i | ||||
\(4\) | −26.1367 | + | 12.5868i | −0.816771 | + | 0.393336i | ||||
\(5\) | −21.6674 | − | 94.9309i | −0.387597 | − | 1.69818i | −0.672897 | − | 0.739737i | \(-0.734950\pi\) |
0.285299 | − | 0.958438i | \(-0.407907\pi\) | |||||||
\(6\) | −15.6427 | + | 68.5352i | −0.177392 | + | 0.777205i | ||||
\(7\) | −141.588 | − | 68.1854i | −1.09215 | − | 0.525952i | −0.200969 | − | 0.979598i | \(-0.564409\pi\) |
−0.891182 | + | 0.453646i | \(0.850123\pi\) | |||||||
\(8\) | 14.5636 | + | 18.2622i | 0.0804533 | + | 0.100885i | ||||
\(9\) | 50.5027 | + | 63.3284i | 0.207830 | + | 0.260610i | ||||
\(10\) | 685.241 | − | 329.995i | 2.16692 | − | 1.04354i | ||||
\(11\) | 331.912 | − | 416.204i | 0.827068 | − | 1.03711i | −0.171582 | − | 0.985170i | \(-0.554888\pi\) |
0.998650 | − | 0.0519406i | \(-0.0165407\pi\) | |||||||
\(12\) | −261.086 | −0.523395 | ||||||||
\(13\) | 307.139 | − | 385.140i | 0.504054 | − | 0.632064i | −0.463084 | − | 0.886314i | \(-0.653257\pi\) |
0.967138 | + | 0.254251i | \(0.0818288\pi\) | |||||||
\(14\) | 273.141 | − | 1196.71i | 0.372450 | − | 1.63181i | ||||
\(15\) | 195.006 | − | 854.378i | 0.223779 | − | 0.980442i | ||||
\(16\) | −692.543 | + | 868.421i | −0.676311 | + | 0.848068i | ||||
\(17\) | −1203.18 | −1.00974 | −0.504869 | − | 0.863196i | \(-0.668459\pi\) | ||||
−0.504869 | + | 0.863196i | \(0.668459\pi\) | |||||||
\(18\) | −394.469 | + | 494.649i | −0.286967 | + | 0.359845i | ||||
\(19\) | 2063.29 | − | 993.628i | 1.31122 | − | 0.631451i | 0.358000 | − | 0.933722i | \(-0.383459\pi\) |
0.953222 | + | 0.302270i | \(0.0977446\pi\) | |||||||
\(20\) | 1761.18 | + | 2208.46i | 0.984532 | + | 1.23456i | ||||
\(21\) | −881.840 | − | 1105.79i | −0.436357 | − | 0.547174i | ||||
\(22\) | 3746.30 | + | 1804.12i | 1.65023 | + | 0.794711i | ||||
\(23\) | 736.439 | − | 3226.55i | 0.290280 | − | 1.27180i | −0.593857 | − | 0.804571i | \(-0.702395\pi\) |
0.884137 | − | 0.467228i | \(-0.154747\pi\) | |||||||
\(24\) | 46.7792 | + | 204.953i | 0.0165777 | + | 0.0726317i | ||||
\(25\) | −5726.87 | + | 2757.91i | −1.83260 | + | 0.882533i | ||||
\(26\) | 3466.69 | + | 1669.47i | 1.00573 | + | 0.484334i | ||||
\(27\) | 162.218 | + | 710.722i | 0.0428242 | + | 0.187625i | ||||
\(28\) | 4558.88 | 1.09891 | ||||||||
\(29\) | −1866.67 | + | 4126.34i | −0.412167 | + | 0.911108i | ||||
\(30\) | 6845.04 | 1.38859 | ||||||||
\(31\) | 4.20140 | + | 18.4075i | 0.000785217 | + | 0.00344026i | 0.975319 | − | 0.220800i | \(-0.0708670\pi\) |
−0.974534 | + | 0.224241i | \(0.928010\pi\) | |||||||
\(32\) | −7143.30 | − | 3440.03i | −1.23317 | − | 0.593865i | ||||
\(33\) | 4316.64 | − | 2078.78i | 0.690019 | − | 0.332296i | ||||
\(34\) | −2091.23 | − | 9162.26i | −0.310244 | − | 1.35927i | ||||
\(35\) | −3405.05 | + | 14918.5i | −0.469844 | + | 2.05852i | ||||
\(36\) | −2117.07 | − | 1019.53i | −0.272257 | − | 0.131112i | ||||
\(37\) | −8494.42 | − | 10651.7i | −1.02007 | − | 1.27913i | −0.959723 | − | 0.280949i | \(-0.909351\pi\) |
−0.0603463 | − | 0.998178i | \(-0.519220\pi\) | |||||||
\(38\) | 11152.7 | + | 13985.0i | 1.25291 | + | 1.57110i | ||||
\(39\) | 3994.46 | − | 1923.63i | 0.420530 | − | 0.202516i | ||||
\(40\) | 1418.09 | − | 1778.23i | 0.140137 | − | 0.175727i | ||||
\(41\) | 17474.0 | 1.62343 | 0.811714 | − | 0.584055i | \(-0.198535\pi\) | ||||
0.811714 | + | 0.584055i | \(0.198535\pi\) | |||||||
\(42\) | 6887.93 | − | 8637.19i | 0.602511 | − | 0.755526i | ||||
\(43\) | 1404.76 | − | 6154.66i | 0.115859 | − | 0.507613i | −0.883381 | − | 0.468655i | \(-0.844739\pi\) |
0.999241 | − | 0.0389586i | \(-0.0124040\pi\) | |||||||
\(44\) | −3436.41 | + | 15055.9i | −0.267592 | + | 1.17240i | ||||
\(45\) | 4917.56 | − | 6166.42i | 0.362008 | − | 0.453944i | ||||
\(46\) | 25850.2 | 1.80123 | ||||||||
\(47\) | −15657.2 | + | 19633.5i | −1.03388 | + | 1.29644i | −0.0798261 | + | 0.996809i | \(0.525437\pi\) |
−0.954054 | + | 0.299636i | \(0.903135\pi\) | |||||||
\(48\) | −9006.78 | + | 4337.44i | −0.564243 | + | 0.271725i | ||||
\(49\) | 4919.04 | + | 6168.27i | 0.292678 | + | 0.367006i | ||||
\(50\) | −30955.3 | − | 38816.8i | −1.75110 | − | 2.19581i | ||||
\(51\) | −9756.26 | − | 4698.37i | −0.525240 | − | 0.252942i | ||||
\(52\) | −3179.93 | + | 13932.2i | −0.163083 | + | 0.714514i | ||||
\(53\) | 2863.49 | + | 12545.8i | 0.140025 | + | 0.613489i | 0.995427 | + | 0.0955248i | \(0.0304529\pi\) |
−0.855402 | + | 0.517965i | \(0.826690\pi\) | |||||||
\(54\) | −5130.22 | + | 2470.58i | −0.239415 | + | 0.115296i | ||||
\(55\) | −46702.3 | − | 22490.6i | −2.08176 | − | 1.00252i | ||||
\(56\) | −816.823 | − | 3578.74i | −0.0348063 | − | 0.152496i | ||||
\(57\) | 20610.7 | 0.840245 | ||||||||
\(58\) | −34666.6 | − | 7042.87i | −1.35314 | − | 0.274903i | ||||
\(59\) | 26440.8 | 0.988883 | 0.494441 | − | 0.869211i | \(-0.335373\pi\) | ||||
0.494441 | + | 0.869211i | \(0.335373\pi\) | |||||||
\(60\) | 5657.04 | + | 24785.1i | 0.202867 | + | 0.888817i | ||||
\(61\) | −18667.3 | − | 8989.71i | −0.642329 | − | 0.309329i | 0.0842169 | − | 0.996447i | \(-0.473161\pi\) |
−0.726546 | + | 0.687118i | \(0.758875\pi\) | |||||||
\(62\) | −132.871 | + | 63.9875i | −0.00438988 | + | 0.00211405i | ||||
\(63\) | −2832.53 | − | 12410.1i | −0.0899130 | − | 0.393935i | ||||
\(64\) | 5871.01 | − | 25722.6i | 0.179169 | − | 0.784990i | ||||
\(65\) | −43216.6 | − | 20812.0i | −1.26872 | − | 0.610986i | ||||
\(66\) | 23332.7 | + | 29258.2i | 0.659332 | + | 0.826777i | ||||
\(67\) | −403.824 | − | 506.379i | −0.0109902 | − | 0.0137812i | 0.776306 | − | 0.630356i | \(-0.217091\pi\) |
−0.787296 | + | 0.616575i | \(0.788520\pi\) | |||||||
\(68\) | 31447.2 | − | 15144.2i | 0.824725 | − | 0.397167i | ||||
\(69\) | 18571.1 | − | 23287.4i | 0.469586 | − | 0.588842i | ||||
\(70\) | −119523. | −2.91546 | ||||||||
\(71\) | −7621.56 | + | 9557.14i | −0.179431 | + | 0.225000i | −0.863411 | − | 0.504501i | \(-0.831676\pi\) |
0.683980 | + | 0.729501i | \(0.260248\pi\) | |||||||
\(72\) | −421.013 | + | 1844.58i | −0.00957115 | + | 0.0419339i | ||||
\(73\) | 9924.60 | − | 43482.5i | 0.217975 | − | 0.955009i | −0.740997 | − | 0.671508i | \(-0.765647\pi\) |
0.958972 | − | 0.283501i | \(-0.0914959\pi\) | |||||||
\(74\) | 66348.7 | − | 83198.7i | 1.40849 | − | 1.76619i | ||||
\(75\) | −57207.1 | −1.17435 | ||||||||
\(76\) | −41421.0 | + | 51940.3i | −0.822596 | + | 1.03150i | ||||
\(77\) | −75373.9 | + | 36298.2i | −1.44875 | + | 0.697683i | ||||
\(78\) | 21591.2 | + | 27074.5i | 0.401828 | + | 0.503876i | ||||
\(79\) | 11114.4 | + | 13937.0i | 0.200364 | + | 0.251248i | 0.871855 | − | 0.489764i | \(-0.162917\pi\) |
−0.671491 | + | 0.741013i | \(0.734346\pi\) | |||||||
\(80\) | 97445.5 | + | 46927.3i | 1.70230 | + | 0.819786i | ||||
\(81\) | −1459.96 | + | 6396.50i | −0.0247245 | + | 0.108325i | ||||
\(82\) | 30371.2 | + | 133065.i | 0.498802 | + | 2.18539i | ||||
\(83\) | 51113.3 | − | 24614.9i | 0.814402 | − | 0.392195i | 0.0201597 | − | 0.999797i | \(-0.493583\pi\) |
0.794242 | + | 0.607602i | \(0.207868\pi\) | |||||||
\(84\) | 36966.7 | + | 17802.2i | 0.571627 | + | 0.275281i | ||||
\(85\) | 26069.8 | + | 114219.i | 0.391372 | + | 1.71471i | ||||
\(86\) | 49309.5 | 0.718926 | ||||||||
\(87\) | −31249.5 | + | 26170.0i | −0.442634 | + | 0.370686i | ||||
\(88\) | 12434.6 | 0.171169 | ||||||||
\(89\) | 7047.73 | + | 30878.1i | 0.0943136 | + | 0.413215i | 0.999941 | − | 0.0108594i | \(-0.00345672\pi\) |
−0.905627 | + | 0.424074i | \(0.860600\pi\) | |||||||
\(90\) | 55504.5 | + | 26729.6i | 0.722308 | + | 0.347845i | ||||
\(91\) | −69748.3 | + | 33589.0i | −0.882938 | + | 0.425201i | ||||
\(92\) | 21363.7 | + | 93600.6i | 0.263152 | + | 1.15295i | ||||
\(93\) | −37.8126 | + | 165.668i | −0.000453345 | + | 0.00198624i | ||||
\(94\) | −176723. | − | 85105.5i | −2.06288 | − | 0.993432i | ||||
\(95\) | −139032. | − | 174341.i | −1.58054 | − | 1.98194i | ||||
\(96\) | −44489.9 | − | 55788.5i | −0.492701 | − | 0.617827i | ||||
\(97\) | 156332. | − | 75285.4i | 1.68701 | − | 0.812422i | 0.691034 | − | 0.722822i | \(-0.257156\pi\) |
0.995978 | − | 0.0895997i | \(-0.0285588\pi\) | |||||||
\(98\) | −38421.9 | + | 48179.5i | −0.404123 | + | 0.506754i | ||||
\(99\) | 43120.0 | 0.442171 | ||||||||
\(100\) | 114968. | − | 144165.i | 1.14968 | − | 1.44165i | ||||
\(101\) | −24563.1 | + | 107618.i | −0.239596 | + | 1.04974i | 0.701783 | + | 0.712391i | \(0.252388\pi\) |
−0.941379 | + | 0.337350i | \(0.890469\pi\) | |||||||
\(102\) | 18821.0 | − | 82460.3i | 0.179120 | − | 0.784774i | ||||
\(103\) | 31432.2 | − | 39414.7i | 0.291932 | − | 0.366071i | −0.614138 | − | 0.789198i | \(-0.710496\pi\) |
0.906070 | + | 0.423128i | \(0.139068\pi\) | |||||||
\(104\) | 11506.6 | 0.104319 | ||||||||
\(105\) | −85866.7 | + | 107673.i | −0.760066 | + | 0.953093i | ||||
\(106\) | −90559.2 | + | 43611.0i | −0.782831 | + | 0.376992i | ||||
\(107\) | 19402.8 | + | 24330.3i | 0.163834 | + | 0.205441i | 0.856971 | − | 0.515364i | \(-0.172343\pi\) |
−0.693137 | + | 0.720806i | \(0.743772\pi\) | |||||||
\(108\) | −13185.5 | − | 16534.1i | −0.108777 | − | 0.136402i | ||||
\(109\) | 98209.9 | + | 47295.4i | 0.791752 | + | 0.381287i | 0.785632 | − | 0.618694i | \(-0.212338\pi\) |
0.00611936 | + | 0.999981i | \(0.498052\pi\) | |||||||
\(110\) | 90094.5 | − | 394730.i | 0.709932 | − | 3.11041i | ||||
\(111\) | −27284.6 | − | 119542.i | −0.210189 | − | 0.920899i | ||||
\(112\) | 157270. | − | 75737.1i | 1.18468 | − | 0.570510i | ||||
\(113\) | 116067. | + | 55894.8i | 0.855089 | + | 0.411789i | 0.809464 | − | 0.587169i | \(-0.199758\pi\) |
0.0456252 | + | 0.998959i | \(0.485472\pi\) | |||||||
\(114\) | 35823.1 | + | 156951.i | 0.258167 | + | 1.13110i | ||||
\(115\) | −322256. | −2.27225 | ||||||||
\(116\) | −3148.56 | − | 131344.i | −0.0217254 | − | 0.906287i | ||||
\(117\) | 39901.7 | 0.269480 | ||||||||
\(118\) | 45956.2 | + | 201347.i | 0.303836 | + | 1.33119i | ||||
\(119\) | 170357. | + | 82039.4i | 1.10279 | + | 0.531074i | ||||
\(120\) | 18442.8 | − | 8881.58i | 0.116916 | − | 0.0563037i | ||||
\(121\) | −27223.4 | − | 119273.i | −0.169036 | − | 0.740594i | ||||
\(122\) | 36011.5 | − | 157777.i | 0.219049 | − | 0.959718i | ||||
\(123\) | 141692. | + | 68235.2i | 0.844466 | + | 0.406674i | ||||
\(124\) | −341.502 | − | 428.230i | −0.00199452 | − | 0.00250105i | ||||
\(125\) | 196177. | + | 245998.i | 1.12298 | + | 1.40817i | ||||
\(126\) | 89580.1 | − | 43139.5i | 0.502673 | − | 0.242074i | ||||
\(127\) | −12703.7 | + | 15929.9i | −0.0698909 | + | 0.0876405i | −0.815548 | − | 0.578689i | \(-0.803564\pi\) |
0.745657 | + | 0.666330i | \(0.232136\pi\) | |||||||
\(128\) | −47628.7 | −0.256947 | ||||||||
\(129\) | 35424.5 | − | 44420.9i | 0.187426 | − | 0.235025i | ||||
\(130\) | 83370.2 | − | 365269.i | 0.432666 | − | 1.89563i | ||||
\(131\) | −61113.5 | + | 267756.i | −0.311142 | + | 1.36320i | 0.541497 | + | 0.840703i | \(0.317858\pi\) |
−0.852639 | + | 0.522501i | \(0.824999\pi\) | |||||||
\(132\) | −86657.5 | + | 108665.i | −0.432884 | + | 0.542819i | ||||
\(133\) | −359889. | −1.76417 | ||||||||
\(134\) | 3154.21 | − | 3955.25i | 0.0151750 | − | 0.0190288i | ||||
\(135\) | 63954.7 | − | 30798.9i | 0.302021 | − | 0.145446i | ||||
\(136\) | −17522.7 | − | 21972.7i | −0.0812368 | − | 0.101868i | ||||
\(137\) | 50725.3 | + | 63607.5i | 0.230900 | + | 0.289539i | 0.883761 | − | 0.467938i | \(-0.155003\pi\) |
−0.652861 | + | 0.757477i | \(0.726432\pi\) | |||||||
\(138\) | 209612. | + | 100944.i | 0.936956 | + | 0.451214i | ||||
\(139\) | −32032.7 | + | 140344.i | −0.140623 | + | 0.616109i | 0.854668 | + | 0.519175i | \(0.173761\pi\) |
−0.995291 | + | 0.0969342i | \(0.969096\pi\) | |||||||
\(140\) | −98778.9 | − | 432779.i | −0.425936 | − | 1.86615i | ||||
\(141\) | −203628. | + | 98062.1i | −0.862561 | + | 0.415388i | ||||
\(142\) | −86024.7 | − | 41427.3i | −0.358016 | − | 0.172411i | ||||
\(143\) | −58354.0 | − | 255665.i | −0.238633 | − | 1.04552i | ||||
\(144\) | −89970.9 | −0.361573 | ||||||||
\(145\) | 432163. | + | 87798.2i | 1.70698 | + | 0.346789i | ||||
\(146\) | 348370. | 1.35257 | ||||||||
\(147\) | 15800.2 | + | 69225.4i | 0.0603074 | + | 0.264224i | ||||
\(148\) | 356086. | + | 171482.i | 1.33629 | + | 0.643523i | ||||
\(149\) | −138783. | + | 66834.5i | −0.512119 | + | 0.246624i | −0.672052 | − | 0.740504i | \(-0.734587\pi\) |
0.159932 | + | 0.987128i | \(0.448872\pi\) | |||||||
\(150\) | −99430.5 | − | 435633.i | −0.360821 | − | 1.58086i | ||||
\(151\) | 28401.3 | − | 124434.i | 0.101367 | − | 0.444117i | −0.898619 | − | 0.438730i | \(-0.855428\pi\) |
0.999985 | − | 0.00538626i | \(-0.00171451\pi\) | |||||||
\(152\) | 48194.7 | + | 23209.4i | 0.169196 | + | 0.0814806i | ||||
\(153\) | −60763.9 | − | 76195.5i | −0.209854 | − | 0.263148i | ||||
\(154\) | −407417. | − | 510885.i | −1.38432 | − | 1.73589i | ||||
\(155\) | 1656.41 | − | 797.685i | 0.00553782 | − | 0.00266687i | ||||
\(156\) | −80189.7 | + | 100555.i | −0.263820 | + | 0.330819i | ||||
\(157\) | −61715.7 | −0.199823 | −0.0999117 | − | 0.994996i | \(-0.531856\pi\) | ||||
−0.0999117 | + | 0.994996i | \(0.531856\pi\) | |||||||
\(158\) | −86813.2 | + | 108860.i | −0.276658 | + | 0.346918i | ||||
\(159\) | −25771.4 | + | 112912.i | −0.0808434 | + | 0.354198i | ||||
\(160\) | −171789. | + | 752656.i | −0.530512 | + | 2.32432i | ||||
\(161\) | −324275. | + | 406627.i | −0.985935 | + | 1.23632i | ||||
\(162\) | −51247.0 | −0.153420 | ||||||||
\(163\) | −86671.9 | + | 108683.i | −0.255511 | + | 0.320400i | −0.892998 | − | 0.450060i | \(-0.851402\pi\) |
0.637487 | + | 0.770461i | \(0.279974\pi\) | |||||||
\(164\) | −456713. | + | 219941.i | −1.32597 | + | 0.638553i | ||||
\(165\) | −290871. | − | 364741.i | −0.831746 | − | 1.04298i | ||||
\(166\) | 276282. | + | 346446.i | 0.778184 | + | 0.975811i | ||||
\(167\) | −175503. | − | 84518.0i | −0.486961 | − | 0.234508i | 0.174259 | − | 0.984700i | \(-0.444247\pi\) |
−0.661220 | + | 0.750192i | \(0.729961\pi\) | |||||||
\(168\) | 7351.41 | − | 32208.6i | 0.0200954 | − | 0.0880439i | ||||
\(169\) | 28621.8 | + | 125400.i | 0.0770869 | + | 0.337740i | ||||
\(170\) | −824470. | + | 397044.i | −2.18803 | + | 1.05370i | ||||
\(171\) | 167126. | + | 80483.9i | 0.437074 | + | 0.210484i | ||||
\(172\) | 40751.5 | + | 178544.i | 0.105032 | + | 0.460176i | ||||
\(173\) | −86898.8 | −0.220749 | −0.110374 | − | 0.993890i | \(-0.535205\pi\) | ||||
−0.110374 | + | 0.993890i | \(0.535205\pi\) | |||||||
\(174\) | −253600. | − | 192480.i | −0.635003 | − | 0.481962i | ||||
\(175\) | 998908. | 2.46564 | ||||||||
\(176\) | 131578. | + | 576479.i | 0.320184 | + | 1.40282i | ||||
\(177\) | 214401. | + | 103250.i | 0.514392 | + | 0.247718i | ||||
\(178\) | −222888. | + | 107337.i | −0.527275 | + | 0.253922i | ||||
\(179\) | 26322.7 | + | 115327.i | 0.0614042 | + | 0.269029i | 0.996306 | − | 0.0858780i | \(-0.0273695\pi\) |
−0.934901 | + | 0.354907i | \(0.884512\pi\) | |||||||
\(180\) | −50913.3 | + | 223066.i | −0.117125 | + | 0.513159i | ||||
\(181\) | 26784.1 | + | 12898.5i | 0.0607688 | + | 0.0292647i | 0.464021 | − | 0.885824i | \(-0.346406\pi\) |
−0.403253 | + | 0.915089i | \(0.632120\pi\) | |||||||
\(182\) | −377009. | − | 472755.i | −0.843672 | − | 1.05793i | ||||
\(183\) | −116264. | − | 145790.i | −0.256635 | − | 0.321810i | ||||
\(184\) | 69649.0 | − | 33541.2i | 0.151660 | − | 0.0730355i | ||||
\(185\) | −827121. | + | 1.03718e6i | −1.77680 | + | 2.22804i | ||||
\(186\) | −1327.29 | −0.00281308 | ||||||||
\(187\) | −399350. | + | 500769.i | −0.835122 | + | 1.04721i | ||||
\(188\) | 162105. | − | 710229.i | 0.334505 | − | 1.46556i | ||||
\(189\) | 25492.7 | − | 111691.i | 0.0519113 | − | 0.227438i | ||||
\(190\) | 1.08596e6 | − | 1.36175e6i | 2.18238 | − | 2.73661i | ||||
\(191\) | −484062. | −0.960102 | −0.480051 | − | 0.877240i | \(-0.659382\pi\) | ||||
−0.480051 | + | 0.877240i | \(0.659382\pi\) | |||||||
\(192\) | 148052. | − | 185651.i | 0.289842 | − | 0.363450i | ||||
\(193\) | 857335. | − | 412871.i | 1.65675 | − | 0.797849i | 0.657746 | − | 0.753240i | \(-0.271510\pi\) |
0.999004 | − | 0.0446095i | \(-0.0142044\pi\) | |||||||
\(194\) | 845018. | + | 1.05962e6i | 1.61199 | + | 2.02137i | ||||
\(195\) | −269161. | − | 337518.i | −0.506905 | − | 0.635638i | ||||
\(196\) | −206206. | − | 99303.5i | −0.383408 | − | 0.184639i | ||||
\(197\) | 165825. | − | 726526.i | 0.304428 | − | 1.33379i | −0.558939 | − | 0.829209i | \(-0.688792\pi\) |
0.863367 | − | 0.504576i | \(-0.168351\pi\) | |||||||
\(198\) | 74946.0 | + | 328360.i | 0.135858 | + | 0.595233i | ||||
\(199\) | −103814. | + | 49994.1i | −0.185833 | + | 0.0894924i | −0.524487 | − | 0.851419i | \(-0.675743\pi\) |
0.338654 | + | 0.940911i | \(0.390028\pi\) | |||||||
\(200\) | −133769. | − | 64419.9i | −0.236473 | − | 0.113879i | ||||
\(201\) | −1297.11 | − | 5682.99i | −0.00226457 | − | 0.00992172i | ||||
\(202\) | −862207. | −1.48673 | ||||||||
\(203\) | 545655. | − | 456962.i | 0.929348 | − | 0.778287i | ||||
\(204\) | 314133. | 0.528492 | ||||||||
\(205\) | −378616. | − | 1.65882e6i | −0.629237 | − | 2.75687i | ||||
\(206\) | 354775. | + | 170851.i | 0.582486 | + | 0.280510i | ||||
\(207\) | 241524. | − | 116312.i | 0.391773 | − | 0.188668i | ||||
\(208\) | 121757. | + | 533453.i | 0.195135 | + | 0.854944i | ||||
\(209\) | 271278. | − | 1.18855e6i | 0.429585 | − | 1.88214i | ||||
\(210\) | −969179. | − | 466732.i | −1.51655 | − | 0.730330i | ||||
\(211\) | −293539. | − | 368086.i | −0.453900 | − | 0.569172i | 0.501247 | − | 0.865304i | \(-0.332875\pi\) |
−0.955147 | + | 0.296132i | \(0.904303\pi\) | |||||||
\(212\) | −232752. | − | 291862.i | −0.355676 | − | 0.446004i | ||||
\(213\) | −99121.3 | + | 47734.3i | −0.149699 | + | 0.0720911i | ||||
\(214\) | −151552. | + | 190041.i | −0.226219 | + | 0.283669i | ||||
\(215\) | −614705. | −0.906923 | ||||||||
\(216\) | −10616.9 | + | 13313.1i | −0.0154832 | + | 0.0194154i | ||||
\(217\) | 660.255 | − | 2892.77i | 0.000951837 | − | 0.00417027i | ||||
\(218\) | −189459. | + | 830074.i | −0.270006 | + | 1.18297i | ||||
\(219\) | 250273. | − | 313832.i | 0.352617 | − | 0.442168i | ||||
\(220\) | 1.50373e6 | 2.09465 | ||||||||
\(221\) | −369544. | + | 463394.i | −0.508963 | + | 0.638219i | ||||
\(222\) | 862890. | − | 415546.i | 1.17510 | − | 0.565896i | ||||
\(223\) | 485129. | + | 608332.i | 0.653273 | + | 0.819179i | 0.992592 | − | 0.121492i | \(-0.0387680\pi\) |
−0.339319 | + | 0.940671i | \(0.610197\pi\) | |||||||
\(224\) | 776849. | + | 974138.i | 1.03447 | + | 1.29718i | ||||
\(225\) | −463876. | − | 223391.i | −0.610866 | − | 0.294178i | ||||
\(226\) | −223907. | + | 981000.i | −0.291606 | + | 1.27761i | ||||
\(227\) | −159384. | − | 698306.i | −0.205296 | − | 0.899459i | −0.967649 | − | 0.252298i | \(-0.918814\pi\) |
0.762354 | − | 0.647160i | \(-0.224044\pi\) | |||||||
\(228\) | −538695. | + | 259422.i | −0.686288 | + | 0.330499i | ||||
\(229\) | −98065.3 | − | 47225.7i | −0.123574 | − | 0.0595100i | 0.371075 | − | 0.928603i | \(-0.378989\pi\) |
−0.494649 | + | 0.869093i | \(0.664703\pi\) | |||||||
\(230\) | −560106. | − | 2.45398e6i | −0.698153 | − | 3.05881i | ||||
\(231\) | −752929. | −0.928376 | ||||||||
\(232\) | −102541. | + | 26004.8i | −0.125078 | + | 0.0317200i | ||||
\(233\) | 124238. | 0.149922 | 0.0749611 | − | 0.997186i | \(-0.476117\pi\) | ||||
0.0749611 | + | 0.997186i | \(0.476117\pi\) | |||||||
\(234\) | 69352.3 | + | 303852.i | 0.0827982 | + | 0.362763i | ||||
\(235\) | 2.20308e6 | + | 1.06095e6i | 2.60232 | + | 1.25321i | ||||
\(236\) | −691075. | + | 332804.i | −0.807691 | + | 0.388963i | ||||
\(237\) | 35700.2 | + | 156413.i | 0.0412857 | + | 0.180885i | ||||
\(238\) | −328639. | + | 1.43986e6i | −0.376077 | + | 1.64770i | ||||
\(239\) | 1.36304e6 | + | 656404.i | 1.54352 | + | 0.743322i | 0.995644 | − | 0.0932359i | \(-0.0297211\pi\) |
0.547879 | + | 0.836557i | \(0.315435\pi\) | |||||||
\(240\) | 606910. | + | 761041.i | 0.680136 | + | 0.852864i | ||||
\(241\) | −344783. | − | 432344.i | −0.382387 | − | 0.479498i | 0.552971 | − | 0.833200i | \(-0.313494\pi\) |
−0.935358 | + | 0.353702i | \(0.884923\pi\) | |||||||
\(242\) | 860953. | − | 414613.i | 0.945020 | − | 0.455098i | ||||
\(243\) | −36816.4 | + | 46166.4i | −0.0399969 | + | 0.0501545i | ||||
\(244\) | 601053. | 0.646306 | ||||||||
\(245\) | 478977. | − | 600618.i | 0.509800 | − | 0.639269i | ||||
\(246\) | −273341. | + | 1.19759e6i | −0.287983 | + | 1.26174i | ||||
\(247\) | 251031. | − | 1.09984e6i | 0.261809 | − | 1.14706i | ||||
\(248\) | −274.974 | + | 344.807i | −0.000283898 | + | 0.000355997i | ||||
\(249\) | 510583. | 0.521877 | ||||||||
\(250\) | −1.53231e6 | + | 1.92145e6i | −1.55059 | + | 1.94438i | ||||
\(251\) | −4314.62 | + | 2077.81i | −0.00432273 | + | 0.00208172i | −0.436044 | − | 0.899925i | \(-0.643621\pi\) |
0.431721 | + | 0.902007i | \(0.357906\pi\) | |||||||
\(252\) | 230236. | + | 288707.i | 0.228387 | + | 0.286388i | ||||
\(253\) | −1.09847e6 | − | 1.37744e6i | −1.07892 | − | 1.35292i | ||||
\(254\) | −143387. | − | 69051.5i | −0.139452 | − | 0.0671566i | ||||
\(255\) | −234628. | + | 1.02797e6i | −0.225959 | + | 0.989990i | ||||
\(256\) | −270655. | − | 1.18582e6i | −0.258116 | − | 1.13088i | ||||
\(257\) | 1.81268e6 | − | 872942.i | 1.71194 | − | 0.824428i | 0.720566 | − | 0.693387i | \(-0.243882\pi\) |
0.991377 | − | 0.131041i | \(-0.0418320\pi\) | |||||||
\(258\) | 399837. | + | 192551.i | 0.373967 | + | 0.180093i | ||||
\(259\) | 476424. | + | 2.08735e6i | 0.441310 | + | 1.93351i | ||||
\(260\) | 1.39149e6 | 1.27658 | ||||||||
\(261\) | −355586. | + | 90177.7i | −0.323105 | + | 0.0819404i | ||||
\(262\) | −2.14519e6 | −1.93069 | ||||||||
\(263\) | −175091. | − | 767123.i | −0.156090 | − | 0.683873i | −0.991042 | − | 0.133551i | \(-0.957362\pi\) |
0.834952 | − | 0.550322i | \(-0.185495\pi\) | |||||||
\(264\) | 100829. | + | 48556.7i | 0.0890380 | + | 0.0428784i | ||||
\(265\) | 1.12894e6 | − | 543666.i | 0.987539 | − | 0.475574i | ||||
\(266\) | −625515. | − | 2.74056e6i | −0.542043 | − | 2.37485i | ||||
\(267\) | −63429.6 | + | 277903.i | −0.0544520 | + | 0.238570i | ||||
\(268\) | 16928.3 | + | 8152.23i | 0.0143971 | + | 0.00693329i | ||||
\(269\) | 1.21388e6 | + | 1.52216e6i | 1.02281 | + | 1.28257i | 0.958638 | + | 0.284628i | \(0.0918701\pi\) |
0.0641750 | + | 0.997939i | \(0.479558\pi\) | |||||||
\(270\) | 345693. | + | 433485.i | 0.288590 | + | 0.361880i | ||||
\(271\) | −505208. | + | 243295.i | −0.417875 | + | 0.201238i | −0.630993 | − | 0.775788i | \(-0.717352\pi\) |
0.213118 | + | 0.977026i | \(0.431638\pi\) | |||||||
\(272\) | 833255. | − | 1.04487e6i | 0.682897 | − | 0.856326i | ||||
\(273\) | −696733. | −0.565796 | ||||||||
\(274\) | −396208. | + | 496829.i | −0.318821 | + | 0.399789i | ||||
\(275\) | −752960. | + | 3.29893e6i | −0.600399 | + | 2.63052i | ||||
\(276\) | −192274. | + | 842406.i | −0.151931 | + | 0.665654i | ||||
\(277\) | 982328. | − | 1.23180e6i | 0.769232 | − | 0.964586i | −0.230733 | − | 0.973017i | \(-0.574112\pi\) |
0.999964 | + | 0.00843105i | \(0.00268372\pi\) | |||||||
\(278\) | −1.12440e6 | −0.872588 | ||||||||
\(279\) | −953.537 | + | 1195.70i | −0.000733377 | + | 0.000919625i | ||||
\(280\) | −322034. | + | 155084.i | −0.245475 | + | 0.118214i | ||||
\(281\) | 557395. | + | 698951.i | 0.421112 | + | 0.528057i | 0.946456 | − | 0.322832i | \(-0.104635\pi\) |
−0.525344 | + | 0.850890i | \(0.676064\pi\) | |||||||
\(282\) | −1.10067e6 | − | 1.38019e6i | −0.824201 | − | 1.03352i | ||||
\(283\) | 596758. | + | 287383.i | 0.442927 | + | 0.213302i | 0.642035 | − | 0.766675i | \(-0.278090\pi\) |
−0.199108 | + | 0.979977i | \(0.563805\pi\) | |||||||
\(284\) | 78908.9 | − | 345723.i | 0.0580538 | − | 0.254350i | ||||
\(285\) | −446579. | − | 1.95659e6i | −0.325677 | − | 1.42688i | ||||
\(286\) | 1.84548e6 | − | 888734.i | 1.33411 | − | 0.642476i | ||||
\(287\) | −2.47412e6 | − | 1.19147e6i | −1.77303 | − | 0.853846i | ||||
\(288\) | −142904. | − | 626104.i | −0.101523 | − | 0.444801i | ||||
\(289\) | 27788.6 | 0.0195714 | ||||||||
\(290\) | 82547.9 | + | 3.44353e6i | 0.0576383 | + | 2.40441i | ||||
\(291\) | 1.56164e6 | 1.08105 | ||||||||
\(292\) | 287908. | + | 1.26141e6i | 0.197604 | + | 0.865761i | ||||
\(293\) | −84628.7 | − | 40755.0i | −0.0575902 | − | 0.0277340i | 0.404867 | − | 0.914376i | \(-0.367318\pi\) |
−0.462457 | + | 0.886642i | \(0.653032\pi\) | |||||||
\(294\) | −499691. | + | 240639.i | −0.337158 | + | 0.162367i | ||||
\(295\) | −572902. | − | 2.51005e6i | −0.383288 | − | 1.67930i | ||||
\(296\) | 70813.3 | − | 310253.i | 0.0469770 | − | 0.205820i | ||||
\(297\) | 349648. | + | 168382.i | 0.230006 | + | 0.110765i | ||||
\(298\) | −750162. | − | 940674.i | −0.489344 | − | 0.613618i | ||||
\(299\) | −1.01649e6 | − | 1.27463e6i | −0.657541 | − | 0.824531i | ||||
\(300\) | 1.49520e6 | − | 720052.i | 0.959173 | − | 0.461914i | ||||
\(301\) | −618556. | + | 775645.i | −0.393516 | + | 0.493454i | ||||
\(302\) | 996932. | 0.628997 | ||||||||
\(303\) | −619419. | + | 776727.i | −0.387595 | + | 0.486029i | ||||
\(304\) | −566029. | + | 2.47993e6i | −0.351281 | + | 1.53906i | ||||
\(305\) | −448929. | + | 1.96689e6i | −0.276330 | + | 1.21068i | ||||
\(306\) | 474618. | − | 595152.i | 0.289762 | − | 0.363349i | ||||
\(307\) | −1.81539e6 | −1.09932 | −0.549661 | − | 0.835388i | \(-0.685243\pi\) | ||||
−0.549661 | + | 0.835388i | \(0.685243\pi\) | |||||||
\(308\) | 1.51315e6 | − | 1.89743e6i | 0.908876 | − | 1.13969i | ||||
\(309\) | 408787. | − | 196861.i | 0.243557 | − | 0.117291i | ||||
\(310\) | 8953.37 | + | 11227.2i | 0.00529154 | + | 0.00663538i | ||||
\(311\) | −266045. | − | 333610.i | −0.155975 | − | 0.195586i | 0.697704 | − | 0.716386i | \(-0.254205\pi\) |
−0.853679 | + | 0.520800i | \(0.825634\pi\) | |||||||
\(312\) | 93303.5 | + | 44932.6i | 0.0542639 | + | 0.0261321i | ||||
\(313\) | 602092. | − | 2.63794e6i | 0.347378 | − | 1.52196i | −0.435732 | − | 0.900077i | \(-0.643510\pi\) |
0.783109 | − | 0.621884i | \(-0.213633\pi\) | |||||||
\(314\) | −107267. | − | 469966.i | −0.0613961 | − | 0.268994i | ||||
\(315\) | −1.11673e6 | + | 537788.i | −0.634120 | + | 0.305376i | ||||
\(316\) | −465916. | − | 224374.i | −0.262476 | − | 0.126402i | ||||
\(317\) | −497555. | − | 2.17993e6i | −0.278095 | − | 1.21841i | −0.900199 | − | 0.435478i | \(-0.856579\pi\) |
0.622104 | − | 0.782934i | \(-0.286278\pi\) | |||||||
\(318\) | −904619. | −0.501646 | ||||||||
\(319\) | 1.09783e6 | + | 2.14650e6i | 0.604029 | + | 1.18101i | ||||
\(320\) | −2.56907e6 | −1.40250 | ||||||||
\(321\) | 62322.9 | + | 273055.i | 0.0337587 | + | 0.147906i | ||||
\(322\) | −3.66009e6 | − | 1.76261e6i | −1.96722 | − | 0.947362i | ||||
\(323\) | −2.48251e6 | + | 1.19551e6i | −1.32399 | + | 0.637600i | ||||
\(324\) | −42352.7 | − | 185559.i | −0.0224140 | − | 0.0982021i | ||||
\(325\) | −696762. | + | 3.05271e6i | −0.365911 | + | 1.60316i | ||||
\(326\) | −978267. | − | 471109.i | −0.509816 | − | 0.245514i | ||||
\(327\) | 611670. | + | 767010.i | 0.316335 | + | 0.396672i | ||||
\(328\) | 254485. | + | 319114.i | 0.130610 | + | 0.163780i | ||||
\(329\) | 3.55560e6 | − | 1.71229e6i | 1.81102 | − | 0.872141i | ||||
\(330\) | 2.27195e6 | − | 2.84894e6i | 1.14846 | − | 1.44012i | ||||
\(331\) | −1.09969e6 | −0.551697 | −0.275848 | − | 0.961201i | \(-0.588959\pi\) | ||||
−0.275848 | + | 0.961201i | \(0.588959\pi\) | |||||||
\(332\) | −1.02611e6 | + | 1.28670e6i | −0.510915 | + | 0.640667i | ||||
\(333\) | 245562. | − | 1.07588e6i | 0.121353 | − | 0.531681i | ||||
\(334\) | 338568. | − | 1.48336e6i | 0.166065 | − | 0.727580i | ||||
\(335\) | −39321.2 | + | 49307.2i | −0.0191432 | + | 0.0240048i | ||||
\(336\) | 1.57101e6 | 0.759153 | ||||||||
\(337\) | 1.65900e6 | − | 2.08032e6i | 0.795742 | − | 0.997829i | −0.204080 | − | 0.978954i | \(-0.565420\pi\) |
0.999822 | − | 0.0188747i | \(-0.00600836\pi\) | |||||||
\(338\) | −905180. | + | 435912.i | −0.430966 | + | 0.207542i | ||||
\(339\) | 722886. | + | 906470.i | 0.341641 | + | 0.428405i | ||||
\(340\) | −2.11902e6 | − | 2.65717e6i | −0.994120 | − | 1.24659i | ||||
\(341\) | 9055.80 | + | 4361.04i | 0.00421736 | + | 0.00203097i | ||||
\(342\) | −322408. | + | 1.41256e6i | −0.149053 | + | 0.653043i | ||||
\(343\) | 311839. | + | 1.36626e6i | 0.143118 | + | 0.627043i | ||||
\(344\) | 132856. | − | 63980.0i | 0.0605320 | − | 0.0291507i | ||||
\(345\) | −2.61308e6 | − | 1.25839e6i | −1.18197 | − | 0.569205i | ||||
\(346\) | −151037. | − | 661737.i | −0.0678255 | − | 0.297163i | ||||
\(347\) | 449760. | 0.200520 | 0.100260 | − | 0.994961i | \(-0.468033\pi\) | ||||
0.100260 | + | 0.994961i | \(0.468033\pi\) | |||||||
\(348\) | 487362. | − | 1.07733e6i | 0.215727 | − | 0.476870i | ||||
\(349\) | 525185. | 0.230807 | 0.115404 | − | 0.993319i | \(-0.463184\pi\) | ||||
0.115404 | + | 0.993319i | \(0.463184\pi\) | |||||||
\(350\) | 1.73618e6 | + | 7.60671e6i | 0.757574 | + | 3.31915i | ||||
\(351\) | 323551. | + | 155814.i | 0.140177 | + | 0.0675055i | ||||
\(352\) | −3.80270e6 | + | 1.83129e6i | −1.63582 | + | 0.787770i | ||||
\(353\) | 993570. | + | 4.35311e6i | 0.424386 | + | 1.85936i | 0.505759 | + | 0.862675i | \(0.331213\pi\) |
−0.0813723 | + | 0.996684i | \(0.525930\pi\) | |||||||
\(354\) | −413606. | + | 1.81213e6i | −0.175420 | + | 0.768565i | ||||
\(355\) | 1.07241e6 | + | 516444.i | 0.451636 | + | 0.217496i | ||||
\(356\) | −572860. | − | 718343.i | −0.239565 | − | 0.300405i | ||||
\(357\) | 1.06101e6 | + | 1.33047e6i | 0.440606 | + | 0.552502i | ||||
\(358\) | −832470. | + | 400896.i | −0.343290 | + | 0.165320i | ||||
\(359\) | 2.37868e6 | − | 2.98278e6i | 0.974094 | − | 1.22147i | −0.00107236 | − | 0.999999i | \(-0.500341\pi\) |
0.975166 | − | 0.221475i | \(-0.0710872\pi\) | |||||||
\(360\) | 184230. | 0.0749209 | ||||||||
\(361\) | 1.72605e6 | − | 2.16439e6i | 0.697083 | − | 0.874114i | ||||
\(362\) | −51669.8 | + | 226380.i | −0.0207236 | + | 0.0907961i | ||||
\(363\) | 245010. | − | 1.07346e6i | 0.0975928 | − | 0.427582i | ||||
\(364\) | 1.40021e6 | − | 1.75581e6i | 0.553911 | − | 0.694583i | ||||
\(365\) | −4.34287e6 | −1.70626 | ||||||||
\(366\) | 908119. | − | 1.13875e6i | 0.354356 | − | 0.444349i | ||||
\(367\) | −465040. | + | 223951.i | −0.180229 | + | 0.0867938i | −0.521823 | − | 0.853054i | \(-0.674748\pi\) |
0.341593 | + | 0.939848i | \(0.389033\pi\) | |||||||
\(368\) | 2.29199e6 | + | 2.87406e6i | 0.882252 | + | 1.10631i | ||||
\(369\) | 882485. | + | 1.10660e6i | 0.337397 | + | 0.423083i | ||||
\(370\) | −9.33573e6 | − | 4.49585e6i | −3.54522 | − | 1.70729i | ||||
\(371\) | 450000. | − | 1.97158e6i | 0.169738 | − | 0.743669i | ||||
\(372\) | −1096.93 | − | 4805.95i | −0.000410979 | − | 0.00180062i | ||||
\(373\) | 455561. | − | 219387.i | 0.169541 | − | 0.0816466i | −0.347188 | − | 0.937795i | \(-0.612864\pi\) |
0.516729 | + | 0.856149i | \(0.327149\pi\) | |||||||
\(374\) | −4.50747e6 | − | 2.17069e6i | −1.66630 | − | 0.802450i | ||||
\(375\) | 630132. | + | 2.76079e6i | 0.231395 | + | 1.01381i | ||||
\(376\) | −586577. | −0.213971 | ||||||||
\(377\) | 1.01589e6 | + | 1.98629e6i | 0.368124 | + | 0.719764i | ||||
\(378\) | 894838. | 0.322118 | ||||||||
\(379\) | 157999. | + | 692241.i | 0.0565012 | + | 0.247548i | 0.995290 | − | 0.0969464i | \(-0.0309076\pi\) |
−0.938788 | + | 0.344494i | \(0.888050\pi\) | |||||||
\(380\) | 5.82822e6 | + | 2.80672e6i | 2.07051 | + | 0.997104i | ||||
\(381\) | −165216. | + | 79564.0i | −0.0583097 | + | 0.0280805i | ||||
\(382\) | −841338. | − | 3.68614e6i | −0.294993 | − | 1.29245i | ||||
\(383\) | 367909. | − | 1.61192e6i | 0.128157 | − | 0.561494i | −0.869552 | − | 0.493842i | \(-0.835592\pi\) |
0.997709 | − | 0.0676521i | \(-0.0215508\pi\) | |||||||
\(384\) | −386208. | − | 185988.i | −0.133657 | − | 0.0643660i | ||||
\(385\) | 5.07897e6 | + | 6.36883e6i | 1.74632 | + | 2.18982i | ||||
\(386\) | 4.63414e6 | + | 5.81102e6i | 1.58307 | + | 1.98511i | ||||
\(387\) | 460709. | − | 221866.i | 0.156368 | − | 0.0753031i | ||||
\(388\) | −3.13839e6 | + | 3.93542e6i | −1.05835 | + | 1.32713i | ||||
\(389\) | −3.29823e6 | −1.10511 | −0.552556 | − | 0.833476i | \(-0.686347\pi\) | ||||
−0.552556 | + | 0.833476i | \(0.686347\pi\) | |||||||
\(390\) | 2.10238e6 | − | 2.63630e6i | 0.699923 | − | 0.877675i | ||||
\(391\) | −886069. | + | 3.88212e6i | −0.293107 | + | 1.28418i | ||||
\(392\) | −41007.3 | + | 179665.i | −0.0134786 | + | 0.0590537i | ||||
\(393\) | −1.54113e6 | + | 1.93251e6i | −0.503335 | + | 0.631162i | ||||
\(394\) | 5.82073e6 | 1.88902 | ||||||||
\(395\) | 1.08224e6 | − | 1.35708e6i | 0.349003 | − | 0.437636i | ||||
\(396\) | −1.12701e6 | + | 542741.i | −0.361153 | + | 0.173922i | ||||
\(397\) | 1.36064e6 | + | 1.70619e6i | 0.433277 | + | 0.543313i | 0.949758 | − | 0.312986i | \(-0.101329\pi\) |
−0.516480 | + | 0.856299i | \(0.672758\pi\) | |||||||
\(398\) | −561143. | − | 703651.i | −0.177568 | − | 0.222664i | ||||
\(399\) | −2.91824e6 | − | 1.40535e6i | −0.917674 | − | 0.441928i | ||||
\(400\) | 1.57107e6 | − | 6.88331e6i | 0.490959 | − | 2.15103i | ||||
\(401\) | 88516.1 | + | 387814.i | 0.0274892 | + | 0.120438i | 0.986811 | − | 0.161877i | \(-0.0517548\pi\) |
−0.959322 | + | 0.282315i | \(0.908898\pi\) | |||||||
\(402\) | 41021.7 | − | 19755.0i | 0.0126604 | − | 0.00609694i | ||||
\(403\) | 8379.90 | + | 4035.55i | 0.00257026 | + | 0.00123777i | ||||
\(404\) | −712565. | − | 3.12195e6i | −0.217206 | − | 0.951640i | ||||
\(405\) | 638859. | 0.193539 | ||||||||
\(406\) | 4.42817e6 | + | 3.36094e6i | 1.33324 | + | 1.01192i | ||||
\(407\) | −7.25267e6 | −2.17026 | ||||||||
\(408\) | −56283.9 | − | 246596.i | −0.0167392 | − | 0.0733390i | ||||
\(409\) | −1.97758e6 | − | 952350.i | −0.584554 | − | 0.281506i | 0.118142 | − | 0.992997i | \(-0.462306\pi\) |
−0.702696 | + | 0.711490i | \(0.748021\pi\) | |||||||
\(410\) | 1.19739e7 | − | 5.76634e6i | 3.51785 | − | 1.69411i | ||||
\(411\) | 162933. | + | 713856.i | 0.0475778 | + | 0.208452i | ||||
\(412\) | −325429. | + | 1.42580e6i | −0.0944525 | + | 0.413823i | ||||
\(413\) | −3.74371e6 | − | 1.80288e6i | −1.08001 | − | 0.520105i | ||||
\(414\) | 1.30551e6 | + | 1.63705e6i | 0.374350 | + | 0.469420i | ||||
\(415\) | −3.44420e6 | − | 4.31889e6i | −0.981676 | − | 1.23098i | ||||
\(416\) | −3.51888e6 | + | 1.69461e6i | −0.996946 | + | 0.480104i | ||||
\(417\) | −807782. | + | 1.01293e6i | −0.227486 | + | 0.285258i | ||||
\(418\) | 9.52232e6 | 2.66564 | ||||||||
\(419\) | −3.22893e6 | + | 4.04895e6i | −0.898512 | + | 1.12670i | 0.0928678 | + | 0.995678i | \(0.470397\pi\) |
−0.991380 | + | 0.131020i | \(0.958175\pi\) | |||||||
\(420\) | 889010. | − | 3.89501e6i | 0.245914 | − | 1.07742i | ||||
\(421\) | 118763. | − | 520335.i | 0.0326570 | − | 0.143080i | −0.955971 | − | 0.293461i | \(-0.905193\pi\) |
0.988628 | + | 0.150381i | \(0.0480501\pi\) | |||||||
\(422\) | 2.29279e6 | − | 2.87507e6i | 0.626735 | − | 0.785900i | ||||
\(423\) | −2.03409e6 | −0.552738 | ||||||||
\(424\) | −187410. | + | 235005.i | −0.0506265 | + | 0.0634837i | ||||
\(425\) | 6.89046e6 | − | 3.31827e6i | 1.85044 | − | 0.891127i | ||||
\(426\) | −535779. | − | 671845.i | −0.143041 | − | 0.179368i | ||||
\(427\) | 2.03011e6 | + | 2.54568e6i | 0.538827 | + | 0.675668i | ||||
\(428\) | −813364. | − | 391695.i | −0.214623 | − | 0.103357i | ||||
\(429\) | 525186. | − | 2.30099e6i | 0.137775 | − | 0.603631i | ||||
\(430\) | −1.06841e6 | − | 4.68099e6i | −0.278654 | − | 1.22086i | ||||
\(431\) | 2.23835e6 | − | 1.07793e6i | 0.580410 | − | 0.279511i | −0.120555 | − | 0.992707i | \(-0.538467\pi\) |
0.700965 | + | 0.713196i | \(0.252753\pi\) | |||||||
\(432\) | −729549. | − | 351332.i | −0.188081 | − | 0.0905751i | ||||
\(433\) | 217671. | + | 953678.i | 0.0557931 | + | 0.244446i | 0.995133 | − | 0.0985426i | \(-0.0314181\pi\) |
−0.939340 | + | 0.342988i | \(0.888561\pi\) | |||||||
\(434\) | 23176.1 | 0.00590630 | ||||||||
\(435\) | 3.16144e6 | + | 2.39951e6i | 0.801054 | + | 0.607993i | ||||
\(436\) | −3.16218e6 | −0.796654 | ||||||||
\(437\) | −1.68650e6 | − | 7.38905e6i | −0.422458 | − | 1.85091i | ||||
\(438\) | 2.82484e6 | + | 1.36037e6i | 0.703571 | + | 0.338822i | ||||
\(439\) | −3.57015e6 | + | 1.71929e6i | −0.884149 | + | 0.425784i | −0.820138 | − | 0.572166i | \(-0.806103\pi\) |
−0.0640105 | + | 0.997949i | \(0.520389\pi\) | |||||||
\(440\) | −269426. | − | 1.18043e6i | −0.0663448 | − | 0.290676i | ||||
\(441\) | −142202. | + | 623029.i | −0.0348185 | + | 0.152550i | ||||
\(442\) | −4.17105e6 | − | 2.00867e6i | −1.01552 | − | 0.489050i | ||||
\(443\) | 4.16726e6 | + | 5.22557e6i | 1.00888 | + | 1.26510i | 0.963943 | + | 0.266110i | \(0.0857384\pi\) |
0.0449406 | + | 0.998990i | \(0.485690\pi\) | |||||||
\(444\) | 2.21777e6 | + | 2.78100e6i | 0.533900 | + | 0.669489i | ||||
\(445\) | 2.77858e6 | − | 1.33809e6i | 0.665155 | − | 0.320322i | ||||
\(446\) | −3.78927e6 | + | 4.75160e6i | −0.902025 | + | 1.13110i | ||||
\(447\) | −1.38634e6 | −0.328171 | ||||||||
\(448\) | −2.58517e6 | + | 3.24170e6i | −0.608547 | + | 0.763094i | ||||
\(449\) | 1.57919e6 | − | 6.91886e6i | 0.369673 | − | 1.61964i | −0.358003 | − | 0.933720i | \(-0.616542\pi\) |
0.727676 | − | 0.685921i | \(-0.240601\pi\) | |||||||
\(450\) | 894874. | − | 3.92070e6i | 0.208320 | − | 0.912709i | ||||
\(451\) | 5.79984e6 | − | 7.27277e6i | 1.34269 | − | 1.68367i | ||||
\(452\) | −3.73713e6 | −0.860384 | ||||||||
\(453\) | 716207. | − | 898095.i | 0.163981 | − | 0.205626i | ||||
\(454\) | 5.04060e6 | − | 2.42742e6i | 1.14774 | − | 0.552721i | ||||
\(455\) | 4.69990e6 | + | 5.89348e6i | 1.06429 | + | 1.33458i | ||||
\(456\) | 300166. | + | 376396.i | 0.0676005 | + | 0.0847683i | ||||
\(457\) | −5.04389e6 | − | 2.42901e6i | −1.12973 | − | 0.544049i | −0.226845 | − | 0.973931i | \(-0.572841\pi\) |
−0.902885 | + | 0.429881i | \(0.858555\pi\) | |||||||
\(458\) | 189180. | − | 828851.i | 0.0421416 | − | 0.184635i | ||||
\(459\) | −195177. | − | 855128.i | −0.0432412 | − | 0.189452i | ||||
\(460\) | 8.42269e6 | − | 4.05615e6i | 1.85591 | − | 0.893758i | ||||
\(461\) | 6.82267e6 | + | 3.28563e6i | 1.49521 | + | 0.720055i | 0.989752 | − | 0.142796i | \(-0.0456092\pi\) |
0.505458 | + | 0.862851i | \(0.331323\pi\) | |||||||
\(462\) | −1.30865e6 | − | 5.73357e6i | −0.285245 | − | 1.24974i | ||||
\(463\) | −2.40534e6 | −0.521463 | −0.260731 | − | 0.965411i | \(-0.583964\pi\) | ||||
−0.260731 | + | 0.965411i | \(0.583964\pi\) | |||||||
\(464\) | −2.29065e6 | − | 4.47873e6i | −0.493928 | − | 0.965739i | ||||
\(465\) | 16546.3 | 0.00354869 | ||||||||
\(466\) | 215936. | + | 946079.i | 0.0460639 | + | 0.201819i | ||||
\(467\) | −2.49217e6 | − | 1.20016e6i | −0.528792 | − | 0.254653i | 0.150385 | − | 0.988628i | \(-0.451949\pi\) |
−0.679177 | + | 0.733975i | \(0.737663\pi\) | |||||||
\(468\) | −1.04290e6 | + | 502233.i | −0.220103 | + | 0.105996i | ||||
\(469\) | 22649.1 | + | 99232.2i | 0.00475465 | + | 0.0208315i | ||||
\(470\) | −4.25001e6 | + | 1.86205e7i | −0.887453 | + | 3.88819i | ||||
\(471\) | −500435. | − | 240997.i | −0.103943 | − | 0.0500563i | ||||
\(472\) | 385073. | + | 482867.i | 0.0795589 | + | 0.0997637i | ||||
\(473\) | −2.09534e6 | − | 2.62747e6i | −0.430628 | − | 0.539990i | ||||
\(474\) | −1.12904e6 | + | 543716.i | −0.230814 | + | 0.111154i | ||||
\(475\) | −9.07585e6 | + | 1.13808e7i | −1.84567 | + | 2.31439i | ||||
\(476\) | −5.48516e6 | −1.10961 | ||||||||
\(477\) | −649888. | + | 814934.i | −0.130780 | + | 0.163993i | ||||
\(478\) | −2.62947e6 | + | 1.15205e7i | −0.526378 | + | 2.30621i | ||||
\(479\) | −1.10437e6 | + | 4.83858e6i | −0.219926 | + | 0.963561i | 0.737605 | + | 0.675232i | \(0.235957\pi\) |
−0.957532 | + | 0.288328i | \(0.906901\pi\) | |||||||
\(480\) | −4.33208e6 | + | 5.43225e6i | −0.858209 | + | 1.07616i | ||||
\(481\) | −6.71136e6 | −1.32266 | ||||||||
\(482\) | 2.69305e6 | − | 3.37698e6i | 0.527992 | − | 0.662080i | ||||
\(483\) | −4.21731e6 | + | 2.03095e6i | −0.822561 | + | 0.396124i | ||||
\(484\) | 2.21279e6 | + | 2.77476e6i | 0.429366 | + | 0.538408i | ||||
\(485\) | −1.05342e7 | − | 1.32095e7i | −2.03352 | − | 2.54995i | ||||
\(486\) | −415548. | − | 200117.i | −0.0798051 | − | 0.0384321i | ||||
\(487\) | 279834. | − | 1.22603e6i | 0.0534660 | − | 0.234250i | −0.941134 | − | 0.338034i | \(-0.890238\pi\) |
0.994600 | + | 0.103784i | \(0.0330952\pi\) | |||||||
\(488\) | −107692. | − | 471828.i | −0.0204707 | − | 0.0896880i | ||||
\(489\) | −1.12720e6 | + | 542831.i | −0.213171 | + | 0.102658i | ||||
\(490\) | 5.40623e6 | + | 2.60350e6i | 1.01719 | + | 0.489855i | ||||
\(491\) | −1.00089e6 | − | 4.38517e6i | −0.187362 | − | 0.820886i | −0.978000 | − | 0.208603i | \(-0.933108\pi\) |
0.790639 | − | 0.612283i | \(-0.209749\pi\) | |||||||
\(492\) | −4.56222e6 | −0.849695 | ||||||||
\(493\) | 2.24595e6 | − | 4.96473e6i | 0.416181 | − | 0.919981i | ||||
\(494\) | 8.81161e6 | 1.62457 | ||||||||
\(495\) | −934296. | − | 4.09342e6i | −0.171384 | − | 0.750884i | ||||
\(496\) | −18895.1 | − | 9099.42i | −0.00344863 | − | 0.00166077i | ||||
\(497\) | 1.73078e6 | − | 833501.i | 0.314305 | − | 0.151361i | ||||
\(498\) | 887434. | + | 3.88810e6i | 0.160348 | + | 0.702530i | ||||
\(499\) | 1.30816e6 | − | 5.73144e6i | 0.235186 | − | 1.03042i | −0.710082 | − | 0.704119i | \(-0.751342\pi\) |
0.945267 | − | 0.326297i | \(-0.105801\pi\) | |||||||
\(500\) | −8.22372e6 | − | 3.96034e6i | −1.47110 | − | 0.708447i | ||||
\(501\) | −1.09307e6 | − | 1.37066e6i | −0.194560 | − | 0.243970i | ||||
\(502\) | −23321.8 | − | 29244.6i | −0.00413049 | − | 0.00517948i | ||||
\(503\) | −37414.3 | + | 18017.8i | −0.00659353 | + | 0.00317527i | −0.437178 | − | 0.899375i | \(-0.644022\pi\) |
0.430584 | + | 0.902550i | \(0.358308\pi\) | |||||||
\(504\) | 185384. | − | 232464.i | 0.0325084 | − | 0.0407642i | ||||
\(505\) | 1.07485e7 | 1.87551 | ||||||||
\(506\) | 8.58000e6 | − | 1.07590e7i | 1.48974 | − | 1.86808i | ||||
\(507\) | −257596. | + | 1.12860e6i | −0.0445061 | + | 0.194994i | ||||
\(508\) | 131526. | − | 576254.i | 0.0226127 | − | 0.0990728i | ||||
\(509\) | −3.86127e6 | + | 4.84188e6i | −0.660596 | + | 0.828361i | −0.993408 | − | 0.114632i | \(-0.963431\pi\) |
0.332812 | + | 0.942993i | \(0.392002\pi\) | |||||||
\(510\) | −8.23583e6 | −1.40211 | ||||||||
\(511\) | −4.37008e6 | + | 5.47991e6i | −0.740350 | + | 0.928369i | ||||
\(512\) | 7.18641e6 | − | 3.46079e6i | 1.21154 | − | 0.583446i | ||||
\(513\) | 1.04090e6 | + | 1.30524e6i | 0.174628 | + | 0.218977i | ||||
\(514\) | 9.79807e6 | + | 1.22864e7i | 1.63581 | + | 2.05124i | ||||
\(515\) | −4.42272e6 | − | 2.12987e6i | −0.734804 | − | 0.353863i | ||||
\(516\) | −366763. | + | 1.60689e6i | −0.0606403 | + | 0.265683i | ||||
\(517\) | 2.97475e6 | + | 1.30332e7i | 0.489467 | + | 2.14450i | ||||
\(518\) | −1.50671e7 | + | 7.25596e6i | −2.46721 | + | 1.18815i | ||||
\(519\) | −704638. | − | 339336.i | −0.114828 | − | 0.0552982i | ||||
\(520\) | −249317. | − | 1.09233e6i | −0.0404336 | − | 0.177151i | ||||
\(521\) | −1.96691e6 | −0.317462 | −0.158731 | − | 0.987322i | \(-0.550740\pi\) | ||||
−0.158731 | + | 0.987322i | \(0.550740\pi\) | |||||||
\(522\) | −1.30474e6 | − | 2.55106e6i | −0.209579 | − | 0.409774i | ||||
\(523\) | 4.22718e6 | 0.675766 | 0.337883 | − | 0.941188i | \(-0.390289\pi\) | ||||
0.337883 | + | 0.941188i | \(0.390289\pi\) | |||||||
\(524\) | −1.77287e6 | − | 7.76747e6i | −0.282065 | − | 1.23581i | ||||
\(525\) | 8.09986e6 | + | 3.90069e6i | 1.28256 | + | 0.617651i | ||||
\(526\) | 5.53734e6 | − | 2.66664e6i | 0.872643 | − | 0.420243i | ||||
\(527\) | −5055.05 | − | 22147.6i | −0.000792864 | − | 0.00347376i | ||||
\(528\) | −1.18420e6 | + | 5.18831e6i | −0.184858 | + | 0.809918i | ||||
\(529\) | −4.06933e6 | − | 1.95968e6i | −0.632242 | − | 0.304472i | ||||
\(530\) | 6.10221e6 | + | 7.65193e6i | 0.943621 | + | 1.18326i | ||||
\(531\) | 1.33533e6 | + | 1.67445e6i | 0.205519 | + | 0.257713i | ||||
\(532\) | 9.40630e6 | − | 4.52983e6i | 1.44092 | − | 0.693910i | ||||
\(533\) | 5.36696e6 | − | 6.72995e6i | 0.818296 | − | 1.02611i | ||||
\(534\) | −2.22648e6 | −0.337883 | ||||||||
\(535\) | 1.88929e6 | − | 2.36910e6i | 0.285374 | − | 0.357848i | ||||
\(536\) | 3366.45 | − | 14749.4i | 0.000506128 | − | 0.00221749i | ||||
\(537\) | −236904. | + | 1.03795e6i | −0.0354517 | + | 0.155324i | ||||
\(538\) | −9.48147e6 | + | 1.18894e7i | −1.41228 | + | 1.77094i | ||||
\(539\) | 4.19995e6 | 0.622690 | ||||||||
\(540\) | −1.28390e6 | + | 1.60996e6i | −0.189473 | + | 0.237592i | ||||
\(541\) | −2.61666e6 | + | 1.26012e6i | −0.384374 | + | 0.185105i | −0.616085 | − | 0.787680i | \(-0.711282\pi\) |
0.231711 | + | 0.972785i | \(0.425568\pi\) | |||||||
\(542\) | −2.73079e6 | − | 3.42430e6i | −0.399292 | − | 0.500696i | ||||
\(543\) | 166817. | + | 209181.i | 0.0242795 | + | 0.0304455i | ||||
\(544\) | 8.59469e6 | + | 4.13898e6i | 1.24518 | + | 0.599648i | ||||
\(545\) | 2.36184e6 | − | 1.03479e7i | 0.340612 | − | 1.49232i | ||||
\(546\) | −1.21098e6 | − | 5.30564e6i | −0.173842 | − | 0.761651i | ||||
\(547\) | −3.69202e6 | + | 1.77799e6i | −0.527590 | + | 0.254074i | −0.678664 | − | 0.734449i | \(-0.737441\pi\) |
0.151075 | + | 0.988522i | \(0.451727\pi\) | |||||||
\(548\) | −2.12640e6 | − | 1.02402e6i | −0.302478 | − | 0.145666i | ||||
\(549\) | −373446. | − | 1.63617e6i | −0.0528807 | − | 0.231685i | ||||
\(550\) | −2.64302e7 | −3.72557 | ||||||||
\(551\) | 248555. | + | 1.03686e7i | 0.0348774 | + | 1.45493i | ||||
\(552\) | 695741. | 0.0971851 | ||||||||
\(553\) | −623371. | − | 2.73117e6i | −0.0866829 | − | 0.379783i | ||||
\(554\) | 1.10876e7 | + | 5.33949e6i | 1.53483 | + | 0.739137i | ||||
\(555\) | −1.07570e7 | + | 5.18031e6i | −1.48238 | + | 0.713876i | ||||
\(556\) | −929253. | − | 4.07132e6i | −0.127481 | − | 0.558533i | ||||
\(557\) | −1.87182e6 | + | 8.20098e6i | −0.255638 | + | 1.12002i | 0.670223 | + | 0.742160i | \(0.266199\pi\) |
−0.925861 | + | 0.377864i | \(0.876659\pi\) | |||||||
\(558\) | −10762.6 | − | 5182.99i | −0.00146329 | − | 0.000704685i | ||||
\(559\) | −1.93895e6 | − | 2.43137e6i | −0.262445 | − | 0.329095i | ||||
\(560\) | −1.05974e7 | − | 1.32887e7i | −1.42800 | − | 1.79066i | ||||
\(561\) | −5.19370e6 | + | 2.50115e6i | −0.696739 | + | 0.335532i | ||||
\(562\) | −4.35374e6 | + | 5.45941e6i | −0.581462 | + | 0.729130i | ||||
\(563\) | −1.16953e7 | −1.55504 | −0.777519 | − | 0.628859i | \(-0.783522\pi\) | ||||
−0.777519 | + | 0.628859i | \(0.783522\pi\) | |||||||
\(564\) | 4.08788e6 | − | 5.12604e6i | 0.541128 | − | 0.678553i | ||||
\(565\) | 2.79128e6 | − | 1.22294e7i | 0.367860 | − | 1.61170i | ||||
\(566\) | −1.15122e6 | + | 5.04382e6i | −0.151049 | + | 0.661787i | ||||
\(567\) | 642861. | − | 806123.i | 0.0839769 | − | 0.105304i | ||||
\(568\) | −285532. | −0.0371350 | ||||||||
\(569\) | −6.46528e6 | + | 8.10721e6i | −0.837157 | + | 1.04976i | 0.160870 | + | 0.986976i | \(0.448570\pi\) |
−0.998027 | + | 0.0627859i | \(0.980001\pi\) | |||||||
\(570\) | 1.41233e7 | − | 6.80143e6i | 1.82075 | − | 0.876825i | ||||
\(571\) | 875602. | + | 1.09797e6i | 0.112387 | + | 0.140929i | 0.834843 | − | 0.550488i | \(-0.185558\pi\) |
−0.722456 | + | 0.691417i | \(0.756987\pi\) | |||||||
\(572\) | 4.74318e6 | + | 5.94776e6i | 0.606149 | + | 0.760087i | ||||
\(573\) | −3.92512e6 | − | 1.89024e6i | −0.499421 | − | 0.240508i | ||||
\(574\) | 4.77288e6 | − | 2.09113e7i | 0.604645 | − | 2.64912i | ||||
\(575\) | 4.68106e6 | + | 2.05090e7i | 0.590438 | + | 2.58688i | ||||
\(576\) | 1.92547e6 | − | 927257.i | 0.241813 | − | 0.116451i | ||||
\(577\) | −4.72623e6 | − | 2.27603e6i | −0.590984 | − | 0.284603i | 0.114393 | − | 0.993436i | \(-0.463508\pi\) |
−0.705376 | + | 0.708833i | \(0.749222\pi\) | |||||||
\(578\) | 48298.7 | + | 211611.i | 0.00601335 | + | 0.0263462i | ||||
\(579\) | 8.56413e6 | 1.06166 | ||||||||
\(580\) | −1.24004e7 | + | 3.14478e6i | −1.53061 | + | 0.388168i | ||||
\(581\) | −8.91542e6 | −1.09573 | ||||||||
\(582\) | 2.71425e6 | + | 1.18919e7i | 0.332156 | + | 1.45527i | ||||
\(583\) | 6.17202e6 | + | 2.97229e6i | 0.752066 | + | 0.362176i | ||||
\(584\) | 938623. | − | 452017.i | 0.113883 | − | 0.0548432i | ||||
\(585\) | −864563. | − | 3.78790e6i | −0.104450 | − | 0.457624i | ||||
\(586\) | 163259. | − | 715285.i | 0.0196396 | − | 0.0860468i | ||||
\(587\) | 9.99280e6 | + | 4.81228e6i | 1.19699 | + | 0.576442i | 0.922818 | − | 0.385237i | \(-0.125880\pi\) |
0.274177 | + | 0.961679i | \(0.411595\pi\) | |||||||
\(588\) | −1.28429e6 | − | 1.61045e6i | −0.153186 | − | 0.192089i | ||||
\(589\) | 26959.0 | + | 33805.5i | 0.00320195 | + | 0.00401512i | ||||
\(590\) | 1.81183e7 | − | 8.72533e6i | 2.14283 | − | 1.03193i | ||||
\(591\) | 4.18168e6 | − | 5.24366e6i | 0.492473 | − | 0.617541i | ||||
\(592\) | 1.51329e7 | 1.77467 | ||||||||
\(593\) | 574743. | − | 720705.i | 0.0671177 | − | 0.0841629i | −0.747139 | − | 0.664667i | \(-0.768573\pi\) |
0.814257 | + | 0.580505i | \(0.197145\pi\) | |||||||
\(594\) | −674514. | + | 2.95524e6i | −0.0784377 | + | 0.343658i | ||||
\(595\) | 4.09689e6 | − | 1.79497e7i | 0.474419 | − | 2.07857i | ||||
\(596\) | 2.78610e6 | − | 3.49366e6i | 0.321278 | − | 0.402870i | ||||
\(597\) | −1.03702e6 | −0.119084 | ||||||||
\(598\) | 7.93962e6 | − | 9.95597e6i | 0.907918 | − | 1.13849i | ||||
\(599\) | 1.00735e7 | − | 4.85115e6i | 1.14713 | − | 0.552430i | 0.238961 | − | 0.971029i | \(-0.423193\pi\) |
0.908171 | + | 0.418599i | \(0.137479\pi\) | |||||||
\(600\) | −833141. | − | 1.04473e6i | −0.0944801 | − | 0.118474i | ||||
\(601\) | 2.98918e6 | + | 3.74832e6i | 0.337572 | + | 0.423302i | 0.921424 | − | 0.388558i | \(-0.127027\pi\) |
−0.583852 | + | 0.811860i | \(0.698455\pi\) | |||||||
\(602\) | −6.98165e6 | − | 3.36219e6i | −0.785176 | − | 0.378121i | ||||
\(603\) | 11674.0 | − | 51147.0i | 0.00130745 | − | 0.00572831i | ||||
\(604\) | 823907. | + | 3.60977e6i | 0.0918937 | + | 0.402613i | ||||
\(605\) | −1.07329e7 | + | 5.16868e6i | −1.19214 | + | 0.574104i | ||||
\(606\) | −6.99140e6 | − | 3.36688e6i | −0.773361 | − | 0.372431i | ||||
\(607\) | 797210. | + | 3.49281e6i | 0.0878215 | + | 0.384771i | 0.999668 | − | 0.0257597i | \(-0.00820048\pi\) |
−0.911847 | + | 0.410531i | \(0.865343\pi\) | |||||||
\(608\) | −1.81568e7 | −1.99196 | ||||||||
\(609\) | 6.20898e6 | − | 1.57462e6i | 0.678386 | − | 0.172041i | ||||
\(610\) | −1.57582e7 | −1.71467 | ||||||||
\(611\) | 2.75272e6 | + | 1.20605e7i | 0.298304 | + | 1.30696i | ||||
\(612\) | 2.54722e6 | + | 1.22668e6i | 0.274908 | + | 0.132389i | ||||
\(613\) | 688387. | − | 331510.i | 0.0739915 | − | 0.0356324i | −0.396522 | − | 0.918025i | \(-0.629783\pi\) |
0.470514 | + | 0.882393i | \(0.344069\pi\) | |||||||
\(614\) | −3.15530e6 | − | 1.38243e7i | −0.337769 | − | 1.47986i | ||||
\(615\) | 3.40754e6 | − | 1.49294e7i | 0.363290 | − | 1.59168i | ||||
\(616\) | −1.76060e6 | − | 847860.i | −0.186943 | − | 0.0900269i | ||||
\(617\) | −8.96171e6 | − | 1.12376e7i | −0.947715 | − | 1.18840i | −0.981980 | − | 0.188985i | \(-0.939480\pi\) |
0.0342646 | − | 0.999413i | \(-0.489091\pi\) | |||||||
\(618\) | 2.20961e6 | + | 2.77076e6i | 0.232726 | + | 0.291829i | ||||
\(619\) | −7.25993e6 | + | 3.49620e6i | −0.761563 | + | 0.366750i | −0.774010 | − | 0.633173i | \(-0.781752\pi\) |
0.0124471 | + | 0.999923i | \(0.496038\pi\) | |||||||
\(620\) | −33252.8 | + | 41697.7i | −0.00347415 | + | 0.00435645i | ||||
\(621\) | 2.41264e6 | 0.251052 | ||||||||
\(622\) | 2.07804e6 | − | 2.60578e6i | 0.215366 | − | 0.270061i | ||||
\(623\) | 1.10756e6 | − | 4.85254e6i | 0.114327 | − | 0.500897i | ||||
\(624\) | −1.09581e6 | + | 4.80107e6i | −0.112661 | + | 0.493602i | ||||
\(625\) | 6.71742e6 | − | 8.42338e6i | 0.687864 | − | 0.862554i | ||||
\(626\) | 2.11344e7 | 2.15553 | ||||||||
\(627\) | 6.84094e6 | − | 8.57827e6i | 0.694940 | − | 0.871427i | ||||
\(628\) | 1.61304e6 | − | 776800.i | 0.163210 | − | 0.0785978i | ||||
\(629\) | 1.02203e7 | + | 1.28159e7i | 1.03000 | + | 1.29158i | ||||
\(630\) | −6.03623e6 | − | 7.56920e6i | −0.605919 | − | 0.759799i | ||||
\(631\) | 4.66271e6 | + | 2.24544e6i | 0.466192 | + | 0.224506i | 0.652207 | − | 0.758041i | \(-0.273843\pi\) |
−0.186016 | + | 0.982547i | \(0.559557\pi\) | |||||||
\(632\) | −92654.8 | + | 405947.i | −0.00922731 | + | 0.0404275i | ||||
\(633\) | −942866. | − | 4.13097e6i | −0.0935278 | − | 0.409772i | ||||
\(634\) | 1.57354e7 | − | 7.57778e6i | 1.55473 | − | 0.748719i | ||||
\(635\) | 1.78750e6 | + | 860814.i | 0.175918 | + | 0.0847178i | ||||
\(636\) | −747615. | − | 3.27552e6i | −0.0732884 | − | 0.321098i | ||||
\(637\) | 3.88648e6 | 0.379497 | ||||||||
\(638\) | −1.44375e7 | + | 1.20908e7i | −1.40424 | + | 1.17599i | ||||
\(639\) | −990147. | −0.0959285 | ||||||||
\(640\) | 1.03199e6 | + | 4.52143e6i | 0.0995921 | + | 0.436341i | ||||
\(641\) | 7.17225e6 | + | 3.45397e6i | 0.689462 | + | 0.332027i | 0.745598 | − | 0.666396i | \(-0.232164\pi\) |
−0.0561362 | + | 0.998423i | \(0.517878\pi\) | |||||||
\(642\) | −1.97099e6 | + | 949181.i | −0.188733 | + | 0.0908890i | ||||
\(643\) | 4.24353e6 | + | 1.85921e7i | 0.404762 | + | 1.77338i | 0.607677 | + | 0.794184i | \(0.292101\pi\) |
−0.202915 | + | 0.979196i | \(0.565041\pi\) | |||||||
\(644\) | 3.35734e6 | − | 1.47095e7i | 0.318992 | − | 1.39760i | ||||
\(645\) | −4.98447e6 | − | 2.40039e6i | −0.471758 | − | 0.227187i | ||||
\(646\) | −1.34187e7 | − | 1.68265e7i | −1.26511 | − | 1.58640i | ||||
\(647\) | 8.72348e6 | + | 1.09389e7i | 0.819274 | + | 1.02734i | 0.999048 | + | 0.0436291i | \(0.0138920\pi\) |
−0.179774 | + | 0.983708i | \(0.557537\pi\) | |||||||
\(648\) | −138076. | + | 66494.1i | −0.0129176 | + | 0.00622079i | ||||
\(649\) | 8.77602e6 | − | 1.10048e7i | 0.817873 | − | 1.02558i | ||||
\(650\) | −2.44575e7 | −2.27054 | ||||||||
\(651\) | 16650.0 | − | 20878.4i | 0.00153979 | − | 0.00193083i | ||||
\(652\) | 897347. | − | 3.93153e6i | 0.0826687 | − | 0.362195i | ||||
\(653\) | 993296. | − | 4.35191e6i | 0.0911582 | − | 0.399390i | −0.908678 | − | 0.417498i | \(-0.862907\pi\) |
0.999836 | + | 0.0181078i | \(0.00576422\pi\) | |||||||
\(654\) | −4.77767e6 | + | 5.99101e6i | −0.436789 | + | 0.547716i | ||||
\(655\) | 2.67425e7 | 2.43556 | ||||||||
\(656\) | −1.21015e7 | + | 1.51748e7i | −1.09794 | + | 1.37678i | ||||
\(657\) | 3.25489e6 | − | 1.56747e6i | 0.294187 | − | 0.141673i | ||||
\(658\) | 1.92190e7 | + | 2.40999e7i | 1.73048 | + | 2.16995i | ||||
\(659\) | −1.03428e7 | − | 1.29695e7i | −0.927739 | − | 1.16335i | −0.986283 | − | 0.165063i | \(-0.947217\pi\) |
0.0585438 | − | 0.998285i | \(-0.481354\pi\) | |||||||
\(660\) | 1.21933e7 | + | 5.87199e6i | 1.08959 | + | 0.524717i | ||||
\(661\) | −780081. | + | 3.41776e6i | −0.0694442 | + | 0.304255i | −0.997708 | − | 0.0676678i | \(-0.978444\pi\) |
0.928264 | + | 0.371923i | \(0.121301\pi\) | |||||||
\(662\) | −1.91135e6 | − | 8.37417e6i | −0.169510 | − | 0.742671i | ||||
\(663\) | −4.80606e6 | + | 2.31448e6i | −0.424625 | + | 0.204489i | ||||
\(664\) | 1.19391e6 | + | 574959.i | 0.105088 | + | 0.0506077i | ||||
\(665\) | 7.79784e6 | + | 3.41646e7i | 0.683786 | + | 2.99586i | ||||
\(666\) | 8.61962e6 | 0.753014 | ||||||||
\(667\) | 1.19391e7 | + | 9.06171e6i | 1.03910 | + | 0.788671i | ||||
\(668\) | 5.65088e6 | 0.489976 | ||||||||
\(669\) | 1.55826e6 | + | 6.82720e6i | 0.134610 | + | 0.589763i | ||||
\(670\) | −443819. | − | 213732.i | −0.0381961 | − | 0.0183943i | ||||
\(671\) | −9.93746e6 | + | 4.78563e6i | −0.852058 | + | 0.410329i | ||||
\(672\) | 2.49529e6 | + | 1.09326e7i | 0.213156 | + | 0.933897i | ||||
\(673\) | −2.75844e6 | + | 1.20855e7i | −0.234761 | + | 1.02856i | 0.710872 | + | 0.703321i | \(0.248300\pi\) |
−0.945633 | + | 0.325235i | \(0.894557\pi\) | |||||||
\(674\) | 1.87252e7 | + | 9.01758e6i | 1.58773 | + | 0.764610i | ||||
\(675\) | −2.88911e6 | − | 3.62283e6i | −0.244065 | − | 0.306047i | ||||
\(676\) | −2.32646e6 | − | 2.91729e6i | −0.195808 | − | 0.245535i | ||||
\(677\) | 1.12668e7 | − | 5.42578e6i | 0.944772 | − | 0.454978i | 0.102922 | − | 0.994689i | \(-0.467181\pi\) |
0.841850 | + | 0.539711i | \(0.181466\pi\) | |||||||
\(678\) | −5.64636e6 | + | 7.08031e6i | −0.471731 | + | 0.591532i | ||||
\(679\) | −2.72681e7 | −2.26977 | ||||||||
\(680\) | −1.70622e6 | + | 2.13953e6i | −0.141502 | + | 0.177438i | ||||
\(681\) | 1.43445e6 | − | 6.28476e6i | 0.118527 | − | 0.519303i | ||||
\(682\) | −17469.7 | + | 76539.9i | −0.00143822 | + | 0.00630126i | ||||
\(683\) | 974570. | − | 1.22207e6i | 0.0799395 | − | 0.100241i | −0.740254 | − | 0.672328i | \(-0.765295\pi\) |
0.820193 | + | 0.572087i | \(0.193866\pi\) | |||||||
\(684\) | −5.38116e6 | −0.439780 | ||||||||
\(685\) | 4.93923e6 | − | 6.19360e6i | 0.402192 | − | 0.504333i | ||||
\(686\) | −9.86208e6 | + | 4.74933e6i | −0.800126 | + | 0.385320i | ||||
\(687\) | −610769. | − | 765881.i | −0.0493725 | − | 0.0619112i | ||||
\(688\) | 4.37198e6 | + | 5.48229e6i | 0.352133 | + | 0.441561i | ||||
\(689\) | 5.71137e6 | + | 2.75045e6i | 0.458344 | + | 0.220727i | ||||
\(690\) | 5.04095e6 | − | 2.20859e7i | 0.403079 | − | 1.76600i | ||||
\(691\) | −4.72364e6 | − | 2.06956e7i | −0.376341 | − | 1.64886i | −0.708556 | − | 0.705654i | \(-0.750653\pi\) |
0.332215 | − | 0.943204i | \(-0.392204\pi\) | |||||||
\(692\) | 2.27125e6 | − | 1.09377e6i | 0.180301 | − | 0.0868286i | ||||
\(693\) | −6.10529e6 | − | 2.94015e6i | −0.482918 | − | 0.232561i | ||||
\(694\) | 781719. | + | 3.42493e6i | 0.0616101 | + | 0.269932i | ||||
\(695\) | 1.40171e7 | 1.10077 | ||||||||
\(696\) | −933027. | − | 189554.i | −0.0730081 | − | 0.0148323i | ||||
\(697\) | −2.10244e7 | −1.63924 | ||||||||
\(698\) | 912814. | + | 3.99930e6i | 0.0709159 | + | 0.310703i | ||||
\(699\) | 1.00741e6 | + | 485145.i | 0.0779858 | + | 0.0375560i | ||||
\(700\) | −2.61081e7 | + | 1.25730e7i | −2.01387 | + | 0.969827i | ||||
\(701\) | 269263. | + | 1.17972e6i | 0.0206957 | + | 0.0906740i | 0.984221 | − | 0.176943i | \(-0.0566209\pi\) |
−0.963525 | + | 0.267617i | \(0.913764\pi\) | |||||||
\(702\) | −624170. | + | 2.73467e6i | −0.0478036 | + | 0.209441i | ||||
\(703\) | −2.81103e7 | − | 1.35372e7i | −2.14524 | − | 1.03309i | ||||
\(704\) | −8.75719e6 | − | 1.09812e7i | −0.665937 | − | 0.835058i | ||||
\(705\) | 1.37212e7 | + | 1.72058e7i | 1.03973 | + | 1.30378i | ||||
\(706\) | −3.14222e7 | + | 1.51321e7i | −2.37260 | + | 1.14258i | ||||
\(707\) | 1.08158e7 | − | 1.35626e7i | 0.813789 | − | 1.02046i | ||||
\(708\) | −6.90332e6 | −0.517577 | ||||||||
\(709\) | 4.24536e6 | − | 5.32352e6i | 0.317175 | − | 0.397725i | −0.597530 | − | 0.801846i | \(-0.703851\pi\) |
0.914705 | + | 0.404121i | \(0.132423\pi\) | |||||||
\(710\) | −2.06880e6 | + | 9.06402e6i | −0.154019 | + | 0.674800i | ||||
\(711\) | −321302. | + | 1.40772e6i | −0.0238363 | + | 0.104434i | ||||
\(712\) | −461261. | + | 578404.i | −0.0340994 | + | 0.0427593i | ||||
\(713\) | 62486.9 | 0.00460325 | ||||||||
\(714\) | −8.28743e6 | + | 1.03921e7i | −0.608379 | + | 0.762883i | ||||
\(715\) | −2.30062e7 | + | 1.10792e7i | −1.68298 | + | 0.810481i | ||||
\(716\) | −2.13959e6 | − | 2.68296e6i | −0.155972 | − | 0.195583i | ||||
\(717\) | 8.48926e6 | + | 1.06452e7i | 0.616697 | + | 0.773314i | ||||
\(718\) | 2.68483e7 | + | 1.29294e7i | 1.94359 | + | 0.935984i | ||||
\(719\) | 3.18846e6 | − | 1.39696e7i | 0.230017 | − | 1.00777i | −0.719608 | − | 0.694380i | \(-0.755679\pi\) |
0.949625 | − | 0.313389i | \(-0.101464\pi\) | |||||||
\(720\) | 1.94943e6 | + | 8.54102e6i | 0.140145 | + | 0.614014i | ||||
\(721\) | −7.13793e6 | + | 3.43745e6i | −0.511369 | + | 0.246262i | ||||
\(722\) | 1.94819e7 | + | 9.38199e6i | 1.39088 | + | 0.669811i | ||||
\(723\) | −1.10746e6 | − | 4.85212e6i | −0.0787923 | − | 0.345212i | ||||
\(724\) | −862398. | −0.0611451 | ||||||||
\(725\) | −689889. | − | 2.87791e7i | −0.0487455 | − | 2.03345i | ||||
\(726\) | 8.60027e6 | 0.605579 | ||||||||
\(727\) | −2.08003e6 | − | 9.11320e6i | −0.145960 | − | 0.639492i | −0.993983 | − | 0.109533i | \(-0.965065\pi\) |
0.848023 | − | 0.529959i | \(-0.177793\pi\) | |||||||
\(728\) | −1.62920e6 | − | 784579.i | −0.113932 | − | 0.0548666i | ||||
\(729\) | −478812. | + | 230584.i | −0.0333692 | + | 0.0160698i | ||||
\(730\) | −7.54826e6 | − | 3.30711e7i | −0.524251 | − | 2.29690i | ||||
\(731\) | −1.69018e6 | + | 7.40518e6i | −0.116988 | + | 0.512557i | ||||
\(732\) | 4.87377e6 | + | 2.34708e6i | 0.336192 | + | 0.161901i | ||||
\(733\) | −1.20909e7 | − | 1.51615e7i | −0.831186 | − | 1.04227i | −0.998411 | − | 0.0563558i | \(-0.982052\pi\) |
0.167224 | − | 0.985919i | \(-0.446520\pi\) | |||||||
\(734\) | −2.51367e6 | − | 3.15204e6i | −0.172214 | − | 0.215949i | ||||
\(735\) | 6.22928e6 | − | 2.99986e6i | 0.425324 | − | 0.204825i | ||||
\(736\) | −1.63600e7 | + | 2.05148e7i | −1.11324 | + | 1.39596i | ||||
\(737\) | −344791. | −0.0233823 | ||||||||
\(738\) | −6.89296e6 | + | 8.64350e6i | −0.465870 | + | 0.584183i | ||||
\(739\) | −3.99108e6 | + | 1.74861e7i | −0.268831 | + | 1.17783i | 0.642544 | + | 0.766249i | \(0.277879\pi\) |
−0.911375 | + | 0.411577i | \(0.864978\pi\) | |||||||
\(740\) | 8.56349e6 | − | 3.75191e7i | 0.574873 | − | 2.51868i | ||||
\(741\) | 6.33036e6 | − | 7.93802e6i | 0.423529 | − | 0.531088i | ||||
\(742\) | 1.57958e7 | 1.05325 | ||||||||
\(743\) | −1.62927e6 | + | 2.04304e6i | −0.108273 | + | 0.135771i | −0.833015 | − | 0.553250i | \(-0.813388\pi\) |
0.724742 | + | 0.689020i | \(0.241959\pi\) | |||||||
\(744\) | −3576.14 | + | 1722.18i | −0.000236855 | + | 0.000114063i | ||||
\(745\) | 9.35172e6 | + | 1.17267e7i | 0.617306 | + | 0.774078i | ||||
\(746\) | 2.46244e6 | + | 3.08780e6i | 0.162001 | + | 0.203143i | ||||
\(747\) | 4.14018e6 | + | 1.99380e6i | 0.271467 | + | 0.130732i | ||||
\(748\) | 4.13463e6 | − | 1.81150e7i | 0.270198 | − | 1.18381i | ||||
\(749\) | −1.08824e6 | − | 4.76787e6i | −0.0708792 | − | 0.310542i | ||||
\(750\) | −1.99283e7 | + | 9.59694e6i | −1.29365 | + | 0.622988i | ||||
\(751\) | −1.30297e7 | − | 6.27478e6i | −0.843015 | − | 0.405975i | −0.0380349 | − | 0.999276i | \(-0.512110\pi\) |
−0.804980 | + | 0.593302i | \(0.797824\pi\) | |||||||
\(752\) | −6.20688e6 | − | 2.71941e7i | −0.400248 | − | 1.75360i | ||||
\(753\) | −43099.8 | −0.00277005 | ||||||||
\(754\) | −1.33600e7 | + | 1.11884e7i | −0.855810 | + | 0.716702i | ||||
\(755\) | −1.24280e7 | −0.793477 | ||||||||
\(756\) | 739532. | + | 3.24010e6i | 0.0470600 | + | 0.206184i | ||||
\(757\) | 8.06793e6 | + | 3.88531e6i | 0.511708 | + | 0.246426i | 0.671875 | − | 0.740664i | \(-0.265489\pi\) |
−0.160167 | + | 0.987090i | \(0.551203\pi\) | |||||||
\(758\) | −4.99681e6 | + | 2.40634e6i | −0.315879 | + | 0.152119i | ||||
\(759\) | −3.52836e6 | − | 1.54587e7i | −0.222315 | − | 0.974024i | ||||
\(760\) | 1.15903e6 | − | 5.07805e6i | 0.0727883 | − | 0.318906i | ||||
\(761\) | −928249. | − | 447021.i | −0.0581036 | − | 0.0279812i | 0.404606 | − | 0.914491i | \(-0.367409\pi\) |
−0.462710 | + | 0.886510i | \(0.653123\pi\) | |||||||
\(762\) | −893041. | − | 1.11984e6i | −0.0557165 | − | 0.0698663i | ||||
\(763\) | −1.06805e7 | − | 1.33930e7i | −0.664173 | − | 0.832847i | ||||
\(764\) | 1.26518e7 | − | 6.09277e6i | 0.784184 | − | 0.377643i | ||||
\(765\) | −5.91671e6 | + | 7.41932e6i | −0.365533 | + | 0.458364i | ||||
\(766\) | 1.29142e7 | 0.795237 | ||||||||
\(767\) | 8.12101e6 | − | 1.01834e7i | 0.498450 | − | 0.625037i | ||||
\(768\) | 2.43589e6 | − | 1.06723e7i | 0.149024 | − | 0.652915i | ||||
\(769\) | 718875. | − | 3.14960e6i | 0.0438367 | − | 0.192061i | −0.948269 | − | 0.317469i | \(-0.897167\pi\) |
0.992105 | + | 0.125408i | \(0.0400241\pi\) | |||||||
\(770\) | −3.96711e7 | + | 4.97460e7i | −2.41128 | + | 3.02365i | ||||
\(771\) | 1.81073e7 | 1.09703 | ||||||||
\(772\) | −1.72112e7 | + | 2.15821e7i | −1.03936 | + | 1.30332i | ||||
\(773\) | 2.54395e7 | − | 1.22510e7i | 1.53130 | − | 0.737436i | 0.536954 | − | 0.843612i | \(-0.319575\pi\) |
0.994347 | + | 0.106176i | \(0.0338607\pi\) | |||||||
\(774\) | 2.49026e6 | + | 3.12269e6i | 0.149414 | + | 0.187360i | ||||
\(775\) | −74827.3 | − | 93830.5i | −0.00447513 | − | 0.00561164i | ||||
\(776\) | 3.65163e6 | + | 1.75853e6i | 0.217687 | + | 0.104833i | ||||
\(777\) | −4.28781e6 | + | 1.87861e7i | −0.254791 | + | 1.11631i | ||||
\(778\) | −5.73258e6 | − | 2.51161e7i | −0.339548 | − | 1.48766i | ||||
\(779\) | 3.60540e7 | − | 1.73627e7i | 2.12868 | − | 1.02512i | ||||
\(780\) | 1.12832e7 | + | 5.43372e6i | 0.664045 | + | 0.319787i | ||||
\(781\) | 1.44804e6 | + | 6.34426e6i | 0.0849477 | + | 0.372180i | ||||
\(782\) | −3.11025e7 | −1.81877 | ||||||||
\(783\) | −3.23549e6 | − | 657322.i | −0.188597 | − | 0.0383154i | ||||
\(784\) | −8.76330e6 | −0.509187 | ||||||||
\(785\) | 1.33722e6 | + | 5.85872e6i | 0.0774510 | + | 0.339335i | ||||
\(786\) | −1.73947e7 | − | 8.37686e6i | −1.00429 | − | 0.483643i | ||||
\(787\) | −1.53100e7 | + | 7.37291e6i | −0.881127 | + | 0.424328i | −0.819036 | − | 0.573742i | \(-0.805491\pi\) |
−0.0620911 | + | 0.998070i | \(0.519777\pi\) | |||||||
\(788\) | 4.81050e6 | + | 2.10762e7i | 0.275978 | + | 1.20914i | ||||
\(789\) | 1.57582e6 | − | 6.90410e6i | 0.0901183 | − | 0.394834i | ||||
\(790\) | 1.22152e7 | + | 5.88254e6i | 0.696359 | + | 0.335349i | ||||
\(791\) | −1.26225e7 | − | 1.58281e7i | −0.717305 | − | 0.899472i | ||||
\(792\) | 627982. | + | 787465.i | 0.0355741 | + | 0.0446086i | ||||
\(793\) | −9.19577e6 | + | 4.42845e6i | −0.519284 | + | 0.250074i | ||||
\(794\) | −1.06277e7 | + | 1.33268e7i | −0.598260 | + | 0.750194i | ||||
\(795\) | 1.12772e7 | 0.632825 | ||||||||
\(796\) | 2.08408e6 | − | 2.61336e6i | 0.116582 | − | 0.146190i | ||||
\(797\) | −2.23020e6 | + | 9.77113e6i | −0.124365 | + | 0.544877i | 0.873906 | + | 0.486095i | \(0.161579\pi\) |
−0.998271 | + | 0.0587827i | \(0.981278\pi\) | |||||||
\(798\) | 5.62964e6 | − | 2.46651e7i | 0.312949 | − | 1.37112i | ||||
\(799\) | 1.88385e7 | − | 2.36227e7i | 1.04395 | − | 1.30907i | ||||
\(800\) | 5.03961e7 | 2.78402 | ||||||||
\(801\) | −1.59953e6 | + | 2.00575e6i | −0.0880869 | + | 0.110458i | ||||
\(802\) | −2.79937e6 | + | 1.34810e6i | −0.153682 | + | 0.0740096i | ||||
\(803\) | −1.48035e7 | − | 1.85630e7i | −0.810170 | − | 1.01592i | ||||
\(804\) | 105433. | + | 132208.i | 0.00575221 | + | 0.00721304i | ||||
\(805\) | 4.56277e7 | + | 2.19731e7i | 2.48164 | + | 1.19509i | ||||
\(806\) | −16165.9 | + | 70827.3i | −0.000876519 | + | 0.00384028i | ||||
\(807\) | 3.89907e6 | + | 1.70829e7i | 0.210755 | + | 0.923376i | ||||
\(808\) | −2.32307e6 | + | 1.11873e6i | −0.125180 | + | 0.0602833i | ||||
\(809\) | −2.14295e7 | − | 1.03199e7i | −1.15117 | − | 0.554376i | −0.241788 | − | 0.970329i | \(-0.577734\pi\) |
−0.909386 | + | 0.415953i | \(0.863448\pi\) | |||||||
\(810\) | 1.11039e6 | + | 4.86493e6i | 0.0594651 | + | 0.260534i | ||||
\(811\) | −1.86487e7 | −0.995629 | −0.497814 | − | 0.867284i | \(-0.665864\pi\) | ||||
−0.497814 | + | 0.867284i | \(0.665864\pi\) | |||||||
\(812\) | −8.50995e6 | + | 1.88115e7i | −0.452936 | + | 1.00123i | ||||
\(813\) | −5.04664e6 | −0.267779 | ||||||||
\(814\) | −1.26057e7 | − | 5.52293e7i | −0.666817 | − | 2.92152i | ||||
\(815\) | 1.21953e7 | + | 5.87296e6i | 0.643131 | + | 0.309716i | ||||
\(816\) | 1.08368e7 | − | 5.21872e6i | 0.569738 | − | 0.274371i | ||||
\(817\) | −3.21701e6 | − | 1.40947e7i | −0.168616 | − | 0.738754i | ||||
\(818\) | 3.81499e6 | − | 1.67145e7i | 0.199347 | − | 0.873396i | ||||
\(819\) | −5.64961e6 | − | 2.72071e6i | −0.294313 | − | 0.141734i | ||||
\(820\) | 3.07750e7 | + | 3.85906e7i | 1.59832 | + | 2.00423i | ||||
\(821\) | 1.39830e7 | + | 1.75341e7i | 0.724005 | + | 0.907873i | 0.998557 | − | 0.0536991i | \(-0.0171012\pi\) |
−0.274553 | + | 0.961572i | \(0.588530\pi\) | |||||||
\(822\) | −5.15284e6 | + | 2.48148e6i | −0.265991 | + | 0.128095i | ||||
\(823\) | −1.91783e7 | + | 2.40488e7i | −0.986983 | + | 1.23764i | −0.0156587 | + | 0.999877i | \(0.504985\pi\) |
−0.971324 | + | 0.237760i | \(0.923587\pi\) | |||||||
\(824\) | 1.17756e6 | 0.0604180 | ||||||||
\(825\) | −1.89877e7 | + | 2.38098e7i | −0.971266 | + | 1.21793i | ||||
\(826\) | 7.22208e6 | − | 3.16420e7i | 0.368309 | − | 1.61367i | ||||
\(827\) | −4.89627e6 | + | 2.14519e7i | −0.248944 | + | 1.09069i | 0.683662 | + | 0.729798i | \(0.260386\pi\) |
−0.932606 | + | 0.360896i | \(0.882471\pi\) | |||||||
\(828\) | −4.84865e6 | + | 6.08001e6i | −0.245779 | + | 0.308197i | ||||
\(829\) | 9.65473e6 | 0.487926 | 0.243963 | − | 0.969785i | \(-0.421552\pi\) | ||||
0.243963 | + | 0.969785i | \(0.421552\pi\) | |||||||
\(830\) | 2.69022e7 | − | 3.37342e7i | 1.35548 | − | 1.69971i | ||||
\(831\) | 1.27755e7 | − | 6.15238e6i | 0.641766 | − | 0.309058i | ||||
\(832\) | −8.10358e6 | − | 1.01616e7i | −0.405853 | − | 0.508924i | ||||
\(833\) | −5.91849e6 | − | 7.42155e6i | −0.295528 | − | 0.370580i | ||||
\(834\) | −9.11745e6 | − | 4.39073e6i | −0.453898 | − | 0.218586i | ||||
\(835\) | −4.22067e6 | + | 1.84920e7i | −0.209491 | + | 0.917840i | ||||
\(836\) | 7.86965e6 | + | 3.44792e7i | 0.389439 | + | 1.70625i | ||||
\(837\) | −12401.1 | + | 5972.06i | −0.000611853 | + | 0.000294653i | ||||
\(838\) | −3.64450e7 | − | 1.75510e7i | −1.79278 | − | 0.863360i | ||||
\(839\) | −3.95223e6 | − | 1.73158e7i | −0.193837 | − | 0.849256i | −0.974515 | − | 0.224322i | \(-0.927983\pi\) |
0.780678 | − | 0.624934i | \(-0.214874\pi\) | |||||||
\(840\) | −3.21688e6 | −0.157303 | ||||||||
\(841\) | −1.35422e7 | − | 1.54051e7i | −0.660236 | − | 0.751058i | ||||
\(842\) | 4.16879e6 | 0.202642 | ||||||||
\(843\) | 1.79039e6 | + | 7.84420e6i | 0.0867717 | + | 0.380172i | ||||
\(844\) | 1.23052e7 | + | 5.92585e6i | 0.594608 | + | 0.286348i | ||||
\(845\) | 1.12842e7 | − | 5.43419e6i | 0.543662 | − | 0.261814i | ||||
\(846\) | −3.53541e6 | − | 1.54897e7i | −0.169830 | − | 0.744073i | ||||
\(847\) | −4.27819e6 | + | 1.87440e7i | −0.204904 | + | 0.897745i | ||||
\(848\) | −1.28781e7 | − | 6.20176e6i | −0.614981 | − | 0.296159i | ||||
\(849\) | 3.71672e6 | + | 4.66062e6i | 0.176966 | + | 0.221909i | ||||
\(850\) | 3.72449e7 | + | 4.67036e7i | 1.76815 | + | 2.21719i | ||||
\(851\) | −4.06237e7 | + | 1.95634e7i | −1.92290 | + | 0.926018i | ||||
\(852\) | 1.98988e6 | − | 2.49523e6i | 0.0939135 | − | 0.117764i | ||||
\(853\) | −3.83552e7 | −1.80489 | −0.902446 | − | 0.430803i | \(-0.858230\pi\) | ||||
−0.902446 | + | 0.430803i | \(0.858230\pi\) | |||||||
\(854\) | −1.58569e7 | + | 1.98839e7i | −0.744001 | + | 0.932948i | ||||
\(855\) | 4.01922e6 | − | 1.76093e7i | 0.188030 | − | 0.823811i | ||||
\(856\) | −161750. | + | 708674.i | −0.00754502 | + | 0.0330569i | ||||
\(857\) | −1.69733e7 | + | 2.12838e7i | −0.789429 | + | 0.989913i | 0.210495 | + | 0.977595i | \(0.432492\pi\) |
−0.999924 | + | 0.0123181i | \(0.996079\pi\) | |||||||
\(858\) | 1.84349e7 | 0.854915 | ||||||||
\(859\) | 2.36885e7 | − | 2.97045e7i | 1.09536 | − | 1.37353i | 0.174030 | − | 0.984740i | \(-0.444321\pi\) |
0.921326 | − | 0.388792i | \(-0.127107\pi\) | |||||||
\(860\) | 1.60663e7 | − | 7.73714e6i | 0.740749 | − | 0.356726i | ||||
\(861\) | −1.54093e7 | − | 1.93226e7i | −0.708394 | − | 0.888298i | ||||
\(862\) | 1.20989e7 | + | 1.51716e7i | 0.554598 | + | 0.695444i | ||||
\(863\) | 1.10967e7 | + | 5.34387e6i | 0.507184 | + | 0.244247i | 0.669934 | − | 0.742420i | \(-0.266322\pi\) |
−0.162751 | + | 0.986667i | \(0.552037\pi\) | |||||||
\(864\) | 1.28614e6 | − | 5.63494e6i | 0.0586143 | − | 0.256806i | ||||
\(865\) | 1.88287e6 | + | 8.24938e6i | 0.0855617 | + | 0.374870i | ||||
\(866\) | −6.88396e6 | + | 3.31514e6i | −0.311920 | + | 0.150213i | ||||
\(867\) | 225330. | + | 108513.i | 0.0101805 | + | 0.00490269i | ||||
\(868\) | 19153.7 | + | 83917.8i | 0.000862886 | + | 0.00378055i | ||||
\(869\) | 9.48967e6 | 0.426287 | ||||||||
\(870\) | −1.27775e7 | + | 2.82450e7i | −0.572330 | + | 1.26515i | ||||
\(871\) | −319057. | −0.0142503 | ||||||||
\(872\) | 566573. | + | 2.48232e6i | 0.0252327 | + | 0.110552i | ||||
\(873\) | 1.26629e7 | + | 6.09812e6i | 0.562337 | + | 0.270807i | ||||
\(874\) | 5.33365e7 | − | 2.56855e7i | 2.36182 | − | 1.13739i | ||||
\(875\) | −1.10029e7 | − | 4.82068e7i | −0.485833 | − | 2.12857i | ||||
\(876\) | −2.59117e6 | + | 1.13527e7i | −0.114087 | + | 0.499847i | ||||
\(877\) | 2.11949e6 | + | 1.02069e6i | 0.0930536 | + | 0.0448122i | 0.479832 | − | 0.877361i | \(-0.340698\pi\) |
−0.386778 | + | 0.922173i | \(0.626412\pi\) | |||||||
\(878\) | −1.92977e7 | − | 2.41985e7i | −0.844829 | − | 1.05938i | ||||
\(879\) | −527084. | − | 660942.i | −0.0230095 | − | 0.0288530i | ||||
\(880\) | 5.18747e7 | − | 2.49815e7i | 2.25813 | − | 1.08746i | ||||
\(881\) | −1.45842e7 | + | 1.82881e7i | −0.633059 | + | 0.793831i | −0.990116 | − | 0.140252i | \(-0.955209\pi\) |
0.357057 | + | 0.934083i | \(0.383780\pi\) | |||||||
\(882\) | −4.99154e6 | −0.216054 | ||||||||
\(883\) | −1.48123e7 | + | 1.85740e7i | −0.639324 | + | 0.801687i | −0.990918 | − | 0.134466i | \(-0.957068\pi\) |
0.351594 | + | 0.936152i | \(0.385640\pi\) | |||||||
\(884\) | 3.82603e6 | − | 1.67629e7i | 0.164671 | − | 0.721472i | ||||
\(885\) | 5.15612e6 | − | 2.25904e7i | 0.221292 | − | 0.969542i | ||||
\(886\) | −3.25499e7 | + | 4.08162e7i | −1.39304 | + | 1.74682i | ||||
\(887\) | −2.79224e7 | −1.19164 | −0.595819 | − | 0.803119i | \(-0.703172\pi\) | ||||
−0.595819 | + | 0.803119i | \(0.703172\pi\) | |||||||
\(888\) | 1.78573e6 | − | 2.23923e6i | 0.0759947 | − | 0.0952944i | ||||
\(889\) | 2.88488e6 | − | 1.38929e6i | 0.122426 | − | 0.0589573i | ||||
\(890\) | 1.50190e7 | + | 1.88333e7i | 0.635575 | + | 0.796985i | ||||
\(891\) | 2.17767e6 | + | 2.73072e6i | 0.0918964 | + | 0.115234i | ||||
\(892\) | −2.03366e7 | − | 9.79359e6i | −0.855788 | − | 0.412126i | ||||
\(893\) | −1.27970e7 | + | 5.60671e7i | −0.537005 | + | 2.35277i | ||||
\(894\) | −2.40957e6 | − | 1.05570e7i | −0.100831 | − | 0.441771i | ||||
\(895\) | 1.03778e7 | − | 4.99768e6i | 0.433059 | − | 0.208550i | ||||
\(896\) | 6.74367e6 | + | 3.24758e6i | 0.280625 | + | 0.135142i | ||||
\(897\) | −3.26501e6 | − | 1.43050e7i | −0.135489 | − | 0.593616i | ||||
\(898\) | 5.54321e7 | 2.29388 | ||||||||
\(899\) | −83798.4 | − | 17024.5i | −0.00345809 | − | 0.000702546i | ||||
\(900\) | 1.49360e7 | 0.614648 | ||||||||
\(901\) | −3.44529e6 | − | 1.50948e7i | −0.141389 | − | 0.619464i | ||||
\(902\) | 6.54629e7 | + | 3.15253e7i | 2.67904 | + | 1.29016i | ||||
\(903\) | −8.04455e6 | + | 3.87405e6i | −0.328309 | + | 0.158105i | ||||
\(904\) | 669589. | + | 2.93366e6i | 0.0272513 | + | 0.119396i | ||||
\(905\) | 644130. | − | 2.82212e6i | 0.0261428 | − | 0.114539i | ||||
\(906\) | 8.08384e6 | + | 3.89297e6i | 0.327188 | + | 0.157565i | ||||
\(907\) | 2.56447e7 | + | 3.21575e7i | 1.03509 | + | 1.29797i | 0.953530 | + | 0.301298i | \(0.0974199\pi\) |
0.0815635 | + | 0.996668i | \(0.474009\pi\) | |||||||
\(908\) | 1.29552e7 | + | 1.62453e7i | 0.521469 | + | 0.653902i | ||||
\(909\) | −8.05578e6 | + | 3.87946e6i | −0.323369 | + | 0.155726i | ||||
\(910\) | −3.67102e7 | + | 4.60332e7i | −1.46955 | + | 1.84275i | ||||
\(911\) | 4.40603e7 | 1.75894 | 0.879470 | − | 0.475954i | \(-0.157897\pi\) | ||||
0.879470 | + | 0.475954i | \(0.157897\pi\) | |||||||
\(912\) | −1.42738e7 | + | 1.78988e7i | −0.568267 | + | 0.712584i | ||||
\(913\) | 6.72030e6 | − | 2.94436e7i | 0.266816 | − | 1.16900i | ||||
\(914\) | 9.73028e6 | − | 4.26311e7i | 0.385265 | − | 1.68796i | ||||
\(915\) | −1.13208e7 | + | 1.41959e7i | −0.447019 | + | 0.560544i | ||||
\(916\) | 3.15752e6 | 0.124339 | ||||||||
\(917\) | 2.69100e7 | − | 3.37441e7i | 1.05679 | − | 1.32518i | ||||
\(918\) | 6.17259e6 | − | 2.97256e6i | 0.241747 | − | 0.116419i | ||||
\(919\) | −3.20961e6 | − | 4.02473e6i | −0.125361 | − | 0.157198i | 0.715190 | − | 0.698930i | \(-0.246340\pi\) |
−0.840551 | + | 0.541732i | \(0.817769\pi\) | |||||||
\(920\) | −4.69320e6 | − | 5.88509e6i | −0.182810 | − | 0.229236i | ||||
\(921\) | −1.47205e7 | − | 7.08902e6i | −0.571839 | − | 0.275383i | ||||
\(922\) | −1.31618e7 | + | 5.76655e7i | −0.509903 | + | 2.23403i | ||||
\(923\) | 1.33996e6 | + | 5.87075e6i | 0.0517711 | + | 0.226824i | ||||
\(924\) | 1.96791e7 | − | 9.47694e6i | 0.758271 | − | 0.365164i | ||||
\(925\) | 7.80228e7 | + | 3.75738e7i | 2.99825 | + | 1.44388i | ||||
\(926\) | −4.18066e6 | − | 1.83167e7i | −0.160220 | − | 0.701971i | ||||
\(927\) | 4.08347e6 | 0.156074 | ||||||||
\(928\) | 2.75290e7 | − | 2.30543e7i | 1.04935 | − | 0.878782i | ||||
\(929\) | −1.05055e7 | −0.399374 | −0.199687 | − | 0.979860i | \(-0.563992\pi\) | ||||
−0.199687 | + | 0.979860i | \(0.563992\pi\) | |||||||
\(930\) | 28758.8 | + | 126000.i | 0.00109034 | + | 0.00477710i | ||||
\(931\) | 1.62784e7 | + | 7.83925e6i | 0.615512 | + | 0.296415i | ||||
\(932\) | −3.24718e6 | + | 1.56376e6i | −0.122452 | + | 0.0589699i | ||||
\(933\) | −854553. | − | 3.74404e6i | −0.0321392 | − | 0.140811i | ||||
\(934\) | 4.80769e6 | − | 2.10639e7i | 0.180331 | − | 0.790080i | ||||
\(935\) | 5.61913e7 | + | 2.70603e7i | 2.10204 | + | 1.01229i | ||||
\(936\) | 581112. | + | 728691.i | 0.0216805 | + | 0.0271865i | ||||
\(937\) | −1.07136e7 | − | 1.34345e7i | −0.398647 | − | 0.499887i | 0.541479 | − | 0.840714i | \(-0.317864\pi\) |
−0.940126 | + | 0.340827i | \(0.889293\pi\) | |||||||
\(938\) | −716290. | + | 344947.i | −0.0265816 | + | 0.0128010i | ||||
\(939\) | 1.51832e7 | − | 1.90391e7i | 0.561953 | − | 0.704666i | ||||
\(940\) | −7.09351e7 | −2.61843 | ||||||||
\(941\) | −8.58641e6 | + | 1.07670e7i | −0.316110 | + | 0.396389i | −0.914348 | − | 0.404929i | \(-0.867296\pi\) |
0.598238 | + | 0.801318i | \(0.295868\pi\) | |||||||
\(942\) | 965401. | − | 4.22970e6i | 0.0354471 | − | 0.155304i | ||||
\(943\) | 1.28685e7 | − | 5.63808e7i | 0.471249 | − | 2.06468i | ||||
\(944\) | −1.83114e7 | + | 2.29618e7i | −0.668792 | + | 0.838639i | ||||
\(945\) | −1.11553e7 | −0.406351 | ||||||||
\(946\) | 1.63664e7 | − | 2.05228e7i | 0.594601 | − | 0.745606i | ||||
\(947\) | −1.34894e7 | + | 6.49616e6i | −0.488786 | + | 0.235387i | −0.662009 | − | 0.749496i | \(-0.730296\pi\) |
0.173223 | + | 0.984883i | \(0.444582\pi\) | |||||||
\(948\) | −2.90182e6 | − | 3.63876e6i | −0.104870 | − | 0.131502i | ||||
\(949\) | −1.36986e7 | − | 1.71776e7i | −0.493755 | − | 0.619150i | ||||
\(950\) | −1.02439e8 | − | 4.93321e7i | −3.68262 | − | 1.77346i | ||||
\(951\) | 4.47799e6 | − | 1.96194e7i | 0.160558 | − | 0.703451i | ||||
\(952\) | 982787. | + | 4.30587e6i | 0.0351453 | + | 0.153981i | ||||
\(953\) | −1.92802e7 | + | 9.28485e6i | −0.687668 | + | 0.331164i | −0.744880 | − | 0.667199i | \(-0.767493\pi\) |
0.0572118 | + | 0.998362i | \(0.481779\pi\) | |||||||
\(954\) | −7.33530e6 | − | 3.53249e6i | −0.260944 | − | 0.125664i | ||||
\(955\) | 1.04883e7 | + | 4.59524e7i | 0.372133 | + | 1.63042i | ||||
\(956\) | −4.38873e7 | −1.55308 | ||||||||
\(957\) | 520006. | + | 2.16923e7i | 0.0183539 | + | 0.765643i | ||||
\(958\) | −3.87654e7 | −1.36468 | ||||||||
\(959\) | −2.84501e6 | − | 1.24648e7i | −0.0998936 | − | 0.437662i | ||||
\(960\) | −2.08319e7 | − | 1.00321e7i | −0.729543 | − | 0.351329i | ||||
\(961\) | 2.57937e7 | − | 1.24216e7i | 0.900958 | − | 0.433878i | ||||
\(962\) | −1.16649e7 | − | 5.11072e7i | −0.406390 | − | 1.78051i | ||||
\(963\) | −560906. | + | 2.45749e6i | −0.0194906 | + | 0.0853938i | ||||
\(964\) | 1.44533e7 | + | 6.96034e6i | 0.500927 | + | 0.241234i | ||||
\(965\) | −5.77703e7 | − | 7.24417e7i | −1.99704 | − | 2.50421i | ||||
\(966\) | −2.27958e7 | − | 2.85850e7i | −0.785980 | − | 0.985587i | ||||
\(967\) | −4.68531e7 | + | 2.25633e7i | −1.61128 | + | 0.775954i | −0.999882 | − | 0.0153662i | \(-0.995109\pi\) |
−0.611402 | + | 0.791320i | \(0.709394\pi\) | |||||||
\(968\) | 1.78172e6 | − | 2.23421e6i | 0.0611155 | − | 0.0766364i | ||||
\(969\) | −2.47984e7 | −0.848427 | ||||||||
\(970\) | 8.22812e7 | − | 1.03177e8i | 2.80783 | − | 3.52091i | ||||
\(971\) | 6.63422e6 | − | 2.90664e7i | 0.225809 | − | 0.989335i | −0.727207 | − | 0.686418i | \(-0.759182\pi\) |
0.953017 | − | 0.302918i | \(-0.0979607\pi\) | |||||||
\(972\) | 381175. | − | 1.67004e6i | 0.0129407 | − | 0.0566970i | ||||
\(973\) | 1.41049e7 | − | 1.76870e7i | 0.477625 | − | 0.598923i | ||||
\(974\) | 9.82263e6 | 0.331765 | ||||||||
\(975\) | −1.75705e7 | + | 2.20328e7i | −0.591935 | + | 0.742263i | ||||
\(976\) | 2.07348e7 | − | 9.98534e6i | 0.696746 | − | 0.335535i | ||||
\(977\) | 5.12962e6 | + | 6.43234e6i | 0.171929 | + | 0.215592i | 0.860329 | − | 0.509739i | \(-0.170258\pi\) |
−0.688400 | + | 0.725331i | \(0.741687\pi\) | |||||||
\(978\) | −6.09284e6 | − | 7.64018e6i | −0.203691 | − | 0.255421i | ||||
\(979\) | 1.51908e7 | + | 7.31552e6i | 0.506553 | + | 0.243943i | ||||
\(980\) | −4.95903e6 | + | 2.17269e7i | −0.164942 | + | 0.722659i | ||||
\(981\) | 1.96472e6 | + | 8.60801e6i | 0.0651822 | + | 0.285582i | ||||
\(982\) | 3.16536e7 | − | 1.52436e7i | 1.04748 | − | 0.504438i | ||||
\(983\) | 6.81380e6 | + | 3.28135e6i | 0.224908 | + | 0.108310i | 0.542945 | − | 0.839768i | \(-0.317309\pi\) |
−0.318037 | + | 0.948078i | \(0.603023\pi\) | |||||||
\(984\) | 817421. | + | 3.58135e6i | 0.0269127 | + | 0.117912i | ||||
\(985\) | −7.25628e7 | −2.38300 | ||||||||
\(986\) | 4.17102e7 | + | 8.47385e6i | 1.36631 | + | 0.277580i | ||||
\(987\) | 3.55178e7 | 1.16052 | ||||||||
\(988\) | 7.28229e6 | + | 3.19058e7i | 0.237343 | + | 1.03987i | ||||
\(989\) | −1.88238e7 | − | 9.06506e6i | −0.611951 | − | 0.294700i | ||||
\(990\) | 2.95476e7 | − | 1.42294e7i | 0.958151 | − | 0.461421i | ||||
\(991\) | −1.92035e6 | − | 8.41362e6i | −0.0621151 | − | 0.272144i | 0.934328 | − | 0.356415i | \(-0.116001\pi\) |
−0.996443 | + | 0.0842709i | \(0.973144\pi\) | |||||||
\(992\) | 33310.7 | − | 145944.i | 0.00107474 | − | 0.00470875i | ||||
\(993\) | −8.91708e6 | − | 4.29424e6i | −0.286979 | − | 0.138202i | ||||
\(994\) | 9.35537e6 | + | 1.17313e7i | 0.300327 | + | 0.376599i | ||||
\(995\) | 6.99535e6 | + | 8.77190e6i | 0.224002 | + | 0.280890i | ||||
\(996\) | −1.33450e7 | + | 6.42659e6i | −0.426254 | + | 0.205273i | ||||
\(997\) | 2.51175e6 | − | 3.14963e6i | 0.0800274 | − | 0.100351i | −0.740206 | − | 0.672380i | \(-0.765272\pi\) |
0.820233 | + | 0.572029i | \(0.193844\pi\) | |||||||
\(998\) | 4.59188e7 | 1.45936 | ||||||||
\(999\) | 6.19243e6 | − | 7.76507e6i | 0.196312 | − | 0.246168i |
(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 | 87.6.g.b.7.11 | ✓ | 78 | |
29.25 | even | 7 | inner | 87.6.g.b.25.11 | yes | 78 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
87.6.g.b.7.11 | ✓ | 78 | 1.1 | even | 1 | trivial | |
87.6.g.b.25.11 | yes | 78 | 29.25 | even | 7 | inner |