Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [13,7,Mod(2,13)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(13, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("13.2");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 13 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 13.f (of order \(12\), degree \(4\), 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: | \(2.99070308706\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 7.3 | ||
Character | \(\chi\) | \(=\) | 13.7 |
Dual form | 13.7.f.a.2.3 |
$q$-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 \(\left(\mathbb{Z}/13\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −4.77368 | + | 1.27910i | −0.596711 | + | 0.159888i | −0.544518 | − | 0.838749i | \(-0.683288\pi\) |
−0.0521922 | + | 0.998637i | \(0.516621\pi\) | |||||||
\(3\) | 4.54257 | − | 7.86796i | 0.168243 | − | 0.291406i | −0.769559 | − | 0.638576i | \(-0.779524\pi\) |
0.937802 | + | 0.347170i | \(0.112857\pi\) | |||||||
\(4\) | −34.2737 | + | 19.7879i | −0.535526 | + | 0.309186i | ||||
\(5\) | −109.630 | − | 109.630i | −0.877039 | − | 0.877039i | 0.116188 | − | 0.993227i | \(-0.462932\pi\) |
−0.993227 | + | 0.116188i | \(0.962932\pi\) | |||||||
\(6\) | −11.6208 | + | 43.3696i | −0.0538002 | + | 0.200785i | ||||
\(7\) | −504.391 | − | 135.151i | −1.47053 | − | 0.394027i | −0.567416 | − | 0.823431i | \(-0.692057\pi\) |
−0.903112 | + | 0.429404i | \(0.858724\pi\) | |||||||
\(8\) | 361.954 | − | 361.954i | 0.706941 | − | 0.706941i | ||||
\(9\) | 323.230 | + | 559.851i | 0.443388 | + | 0.767971i | ||||
\(10\) | 663.567 | + | 383.110i | 0.663567 | + | 0.383110i | ||||
\(11\) | 246.492 | + | 919.919i | 0.185193 | + | 0.691149i | 0.994589 | + | 0.103886i | \(0.0331278\pi\) |
−0.809396 | + | 0.587263i | \(0.800206\pi\) | |||||||
\(12\) | 359.552i | 0.208074i | ||||||||
\(13\) | 300.508 | − | 2176.35i | 0.136781 | − | 0.990601i | ||||
\(14\) | 2580.68 | 0.940480 | ||||||||
\(15\) | −1360.56 | + | 364.562i | −0.403130 | + | 0.108018i | ||||
\(16\) | 1.54938 | − | 2.68361i | 0.000378267 | − | 0.000655178i | ||||
\(17\) | −5348.10 | + | 3087.73i | −1.08856 | + | 0.628481i | −0.933193 | − | 0.359375i | \(-0.882990\pi\) |
−0.155368 | + | 0.987857i | \(0.549656\pi\) | |||||||
\(18\) | −2259.11 | − | 2259.11i | −0.387364 | − | 0.387364i | ||||
\(19\) | 1060.35 | − | 3957.28i | 0.154592 | − | 0.576947i | −0.844547 | − | 0.535481i | \(-0.820130\pi\) |
0.999140 | − | 0.0414662i | \(-0.0132029\pi\) | |||||||
\(20\) | 5926.77 | + | 1588.07i | 0.740846 | + | 0.198509i | ||||
\(21\) | −3354.60 | + | 3354.60i | −0.362228 | + | 0.362228i | ||||
\(22\) | −2353.35 | − | 4076.12i | −0.221013 | − | 0.382806i | ||||
\(23\) | −9993.12 | − | 5769.53i | −0.821330 | − | 0.474195i | 0.0295450 | − | 0.999563i | \(-0.490594\pi\) |
−0.850875 | + | 0.525368i | \(0.823927\pi\) | |||||||
\(24\) | −1203.64 | − | 4492.04i | −0.0870687 | − | 0.324945i | ||||
\(25\) | 8412.42i | 0.538395i | ||||||||
\(26\) | 1349.25 | + | 10773.6i | 0.0767666 | + | 0.612972i | ||||
\(27\) | 12496.2 | 0.634875 | ||||||||
\(28\) | 19961.7 | − | 5348.72i | 0.909334 | − | 0.243655i | ||||
\(29\) | −186.040 | + | 322.231i | −0.00762804 | + | 0.0132122i | −0.869814 | − | 0.493379i | \(-0.835761\pi\) |
0.862186 | + | 0.506592i | \(0.169095\pi\) | |||||||
\(30\) | 6028.59 | − | 3480.61i | 0.223281 | − | 0.128911i | ||||
\(31\) | −10895.2 | − | 10895.2i | −0.365722 | − | 0.365722i | 0.500193 | − | 0.865914i | \(-0.333263\pi\) |
−0.865914 | + | 0.500193i | \(0.833263\pi\) | |||||||
\(32\) | −8482.96 | + | 31658.8i | −0.258879 | + | 0.966151i | ||||
\(33\) | 8357.59 | + | 2239.41i | 0.232562 | + | 0.0623149i | ||||
\(34\) | 21580.6 | − | 21580.6i | 0.549069 | − | 0.549069i | ||||
\(35\) | 40479.7 | + | 70113.0i | 0.944134 | + | 1.63529i | ||||
\(36\) | −22156.6 | − | 12792.1i | −0.474892 | − | 0.274179i | ||||
\(37\) | −22349.7 | − | 83410.4i | −0.441232 | − | 1.64670i | −0.725696 | − | 0.688015i | \(-0.758482\pi\) |
0.284464 | − | 0.958687i | \(-0.408184\pi\) | |||||||
\(38\) | 20247.1i | 0.368988i | ||||||||
\(39\) | −15758.4 | − | 12250.6i | −0.265655 | − | 0.206521i | ||||
\(40\) | −79361.9 | −1.24003 | ||||||||
\(41\) | 1614.20 | − | 432.523i | 0.0234210 | − | 0.00627563i | −0.247090 | − | 0.968993i | \(-0.579474\pi\) |
0.270511 | + | 0.962717i | \(0.412808\pi\) | |||||||
\(42\) | 11722.9 | − | 20304.7i | 0.158229 | − | 0.274061i | ||||
\(43\) | −88370.0 | + | 51020.4i | −1.11147 | + | 0.641710i | −0.939211 | − | 0.343341i | \(-0.888441\pi\) |
−0.172264 | + | 0.985051i | \(0.555108\pi\) | |||||||
\(44\) | −26651.5 | − | 26651.5i | −0.312869 | − | 0.312869i | ||||
\(45\) | 25940.7 | − | 96812.1i | 0.284672 | − | 1.06241i | ||||
\(46\) | 55083.8 | + | 14759.7i | 0.565914 | + | 0.151636i | ||||
\(47\) | −27686.6 | + | 27686.6i | −0.266671 | + | 0.266671i | −0.827758 | − | 0.561086i | \(-0.810384\pi\) |
0.561086 | + | 0.827758i | \(0.310384\pi\) | |||||||
\(48\) | −14.0764 | − | 24.3810i | −0.000127282 | − | 0.000220459i | ||||
\(49\) | 134258. | + | 77513.7i | 1.14117 | + | 0.658856i | ||||
\(50\) | −10760.4 | − | 40158.3i | −0.0860830 | − | 0.321266i | ||||
\(51\) | 56104.9i | 0.422951i | ||||||||
\(52\) | 32765.9 | + | 80538.0i | 0.233030 | + | 0.572784i | ||||
\(53\) | 239411. | 1.60811 | 0.804056 | − | 0.594554i | \(-0.202671\pi\) | ||||
0.804056 | + | 0.594554i | \(0.202671\pi\) | |||||||
\(54\) | −59653.1 | + | 15984.0i | −0.378837 | + | 0.101509i | ||||
\(55\) | 73827.8 | − | 127874.i | 0.443743 | − | 0.768586i | ||||
\(56\) | −231485. | + | 133648.i | −1.31813 | + | 0.761024i | ||||
\(57\) | −26319.0 | − | 26319.0i | −0.142117 | − | 0.142117i | ||||
\(58\) | 475.930 | − | 1776.20i | 0.00243927 | − | 0.00910347i | ||||
\(59\) | 120217. | + | 32212.1i | 0.585344 | + | 0.156842i | 0.539324 | − | 0.842098i | \(-0.318680\pi\) |
0.0460194 | + | 0.998941i | \(0.485346\pi\) | |||||||
\(60\) | 39417.6 | − | 39417.6i | 0.182489 | − | 0.182489i | ||||
\(61\) | 38209.4 | + | 66180.6i | 0.168337 | + | 0.291569i | 0.937835 | − | 0.347080i | \(-0.112827\pi\) |
−0.769498 | + | 0.638649i | \(0.779494\pi\) | |||||||
\(62\) | 65946.4 | + | 38074.2i | 0.276704 | + | 0.159755i | ||||
\(63\) | −87369.9 | − | 326069.i | −0.349414 | − | 1.30403i | ||||
\(64\) | − | 161782.i | − | 0.617148i | ||||||
\(65\) | −271538. | + | 205648.i | −0.988758 | + | 0.748834i | ||||
\(66\) | −42761.0 | −0.148736 | ||||||||
\(67\) | −354858. | + | 95083.9i | −1.17986 | + | 0.316142i | −0.794870 | − | 0.606779i | \(-0.792461\pi\) |
−0.384988 | + | 0.922921i | \(0.625795\pi\) | |||||||
\(68\) | 122199. | − | 211656.i | 0.388635 | − | 0.673136i | ||||
\(69\) | −90788.9 | + | 52417.0i | −0.276366 | + | 0.159560i | ||||
\(70\) | −282919. | − | 282919.i | −0.824838 | − | 0.824838i | ||||
\(71\) | −111837. | + | 417380.i | −0.312470 | + | 1.16616i | 0.613851 | + | 0.789422i | \(0.289619\pi\) |
−0.926322 | + | 0.376734i | \(0.877047\pi\) | |||||||
\(72\) | 319635. | + | 85645.9i | 0.856360 | + | 0.229461i | ||||
\(73\) | 343212. | − | 343212.i | 0.882256 | − | 0.882256i | −0.111508 | − | 0.993764i | \(-0.535568\pi\) |
0.993764 | + | 0.111508i | \(0.0355681\pi\) | |||||||
\(74\) | 213381. | + | 369587.i | 0.526576 | + | 0.912057i | ||||
\(75\) | 66188.6 | + | 38214.0i | 0.156892 | + | 0.0905814i | ||||
\(76\) | 41964.2 | + | 156613.i | 0.0955957 | + | 0.356768i | ||||
\(77\) | − | 497313.i | − | 1.08933i | ||||||
\(78\) | 90895.3 | + | 38323.9i | 0.191539 | + | 0.0807582i | ||||
\(79\) | −559268. | −1.13433 | −0.567164 | − | 0.823605i | \(-0.691959\pi\) | ||||
−0.567164 | + | 0.823605i | \(0.691959\pi\) | |||||||
\(80\) | −464.063 | + | 124.345i | −0.000906372 | + | 0.000242862i | ||||
\(81\) | −178870. | + | 309811.i | −0.336575 | + | 0.582965i | ||||
\(82\) | −7152.43 | + | 4129.46i | −0.0129721 | + | 0.00748947i | ||||
\(83\) | −55181.9 | − | 55181.9i | −0.0965078 | − | 0.0965078i | 0.657205 | − | 0.753712i | \(-0.271739\pi\) |
−0.753712 | + | 0.657205i | \(0.771739\pi\) | |||||||
\(84\) | 48593.9 | − | 181355.i | 0.0819867 | − | 0.305979i | ||||
\(85\) | 924819. | + | 247805.i | 1.50591 | + | 0.403508i | ||||
\(86\) | 356590. | − | 356590.i | 0.560627 | − | 0.560627i | ||||
\(87\) | 1690.20 | + | 2927.52i | 0.00256673 | + | 0.00444571i | ||||
\(88\) | 422187. | + | 243750.i | 0.619522 | + | 0.357681i | ||||
\(89\) | −189901. | − | 708722.i | −0.269376 | − | 1.00532i | −0.959517 | − | 0.281649i | \(-0.909119\pi\) |
0.690142 | − | 0.723674i | \(-0.257548\pi\) | |||||||
\(90\) | 495331.i | 0.679467i | ||||||||
\(91\) | −445710. | + | 1.05712e6i | −0.591464 | + | 1.40281i | ||||
\(92\) | 456668. | 0.586458 | ||||||||
\(93\) | −135215. | + | 36230.8i | −0.168104 | + | 0.0450432i | ||||
\(94\) | 96753.1 | − | 167581.i | 0.116488 | − | 0.201763i | ||||
\(95\) | −550082. | + | 317590.i | −0.641589 | + | 0.370421i | ||||
\(96\) | 210556. | + | 210556.i | 0.237987 | + | 0.237987i | ||||
\(97\) | 328784. | − | 1.22704e6i | 0.360243 | − | 1.34444i | −0.513514 | − | 0.858081i | \(-0.671657\pi\) |
0.873757 | − | 0.486363i | \(-0.161677\pi\) | |||||||
\(98\) | −740052. | − | 198296.i | −0.786293 | − | 0.210686i | ||||
\(99\) | −435344. | + | 435344.i | −0.448670 | + | 0.448670i | ||||
\(100\) | −166464. | − | 288325.i | −0.166464 | − | 0.288325i | ||||
\(101\) | −304548. | − | 175831.i | −0.295591 | − | 0.170660i | 0.344869 | − | 0.938651i | \(-0.387923\pi\) |
−0.640461 | + | 0.767991i | \(0.721257\pi\) | |||||||
\(102\) | −71764.0 | − | 267827.i | −0.0676248 | − | 0.252379i | ||||
\(103\) | 272950.i | 0.249788i | 0.992170 | + | 0.124894i | \(0.0398591\pi\) | ||||
−0.992170 | + | 0.124894i | \(0.960141\pi\) | |||||||
\(104\) | −678969. | − | 896509.i | −0.603601 | − | 0.796993i | ||||
\(105\) | 735528. | 0.635377 | ||||||||
\(106\) | −1.14287e6 | + | 306232.i | −0.959577 | + | 0.257118i | ||||
\(107\) | 635277. | − | 1.10033e6i | 0.518575 | − | 0.898199i | −0.481192 | − | 0.876615i | \(-0.659796\pi\) |
0.999767 | − | 0.0215836i | \(-0.00687080\pi\) | |||||||
\(108\) | −428292. | + | 247275.i | −0.339992 | + | 0.196295i | ||||
\(109\) | 201347. | + | 201347.i | 0.155477 | + | 0.155477i | 0.780559 | − | 0.625082i | \(-0.214935\pi\) |
−0.625082 | + | 0.780559i | \(0.714935\pi\) | |||||||
\(110\) | −188867. | + | 704861.i | −0.141899 | + | 0.529573i | ||||
\(111\) | −757795. | − | 203050.i | −0.554093 | − | 0.148469i | ||||
\(112\) | −1144.19 | + | 1144.19i | −0.000814411 | + | 0.000814411i | ||||
\(113\) | 186229. | + | 322559.i | 0.129066 | + | 0.223549i | 0.923315 | − | 0.384043i | \(-0.125469\pi\) |
−0.794249 | + | 0.607593i | \(0.792135\pi\) | |||||||
\(114\) | 159303. | + | 91973.8i | 0.107525 | + | 0.0620797i | ||||
\(115\) | 463032. | + | 1.72806e6i | 0.304451 | + | 1.13623i | ||||
\(116\) | − | 14725.4i | − | 0.00943394i | ||||||
\(117\) | 1.31557e6 | − | 535222.i | 0.821401 | − | 0.334177i | ||||
\(118\) | −615082. | −0.374358 | ||||||||
\(119\) | 3.11485e6 | − | 834621.i | 1.84840 | − | 0.495277i | ||||
\(120\) | −360507. | + | 624417.i | −0.208627 | + | 0.361352i | ||||
\(121\) | 748723. | − | 432276.i | 0.422635 | − | 0.244008i | ||||
\(122\) | −267052. | − | 267052.i | −0.147067 | − | 0.147067i | ||||
\(123\) | 3929.53 | − | 14665.2i | 0.00211167 | − | 0.00788084i | ||||
\(124\) | 589012. | + | 157825.i | 0.308930 | + | 0.0827774i | ||||
\(125\) | −790714. | + | 790714.i | −0.404846 | + | 0.404846i | ||||
\(126\) | 834153. | + | 1.44480e6i | 0.416998 | + | 0.722262i | ||||
\(127\) | 281444. | + | 162492.i | 0.137398 | + | 0.0793270i | 0.567123 | − | 0.823633i | \(-0.308056\pi\) |
−0.429725 | + | 0.902960i | \(0.641390\pi\) | |||||||
\(128\) | −335974. | − | 1.25387e6i | −0.160205 | − | 0.597893i | ||||
\(129\) | 927055.i | 0.431854i | ||||||||
\(130\) | 1.03319e6 | − | 1.32903e6i | 0.470273 | − | 0.604928i | ||||
\(131\) | −855957. | −0.380748 | −0.190374 | − | 0.981712i | \(-0.560970\pi\) | ||||
−0.190374 | + | 0.981712i | \(0.560970\pi\) | |||||||
\(132\) | −330759. | + | 88626.5i | −0.143810 | + | 0.0385338i | ||||
\(133\) | −1.06966e6 | + | 1.85271e6i | −0.454665 | + | 0.787503i | ||||
\(134\) | 1.57236e6 | − | 907801.i | 0.653487 | − | 0.377291i | ||||
\(135\) | −1.36996e6 | − | 1.36996e6i | −0.556810 | − | 0.556810i | ||||
\(136\) | −818151. | + | 3.05338e6i | −0.325250 | + | 1.21385i | ||||
\(137\) | −1.84280e6 | − | 493778.i | −0.716667 | − | 0.192030i | −0.117983 | − | 0.993016i | \(-0.537643\pi\) |
−0.598684 | + | 0.800985i | \(0.704309\pi\) | |||||||
\(138\) | 366351. | − | 366351.i | 0.139399 | − | 0.139399i | ||||
\(139\) | −2.06373e6 | − | 3.57448e6i | −0.768437 | − | 1.33097i | −0.938410 | − | 0.345523i | \(-0.887702\pi\) |
0.169973 | − | 0.985449i | \(-0.445632\pi\) | |||||||
\(140\) | −2.77478e6 | − | 1.60202e6i | −1.01122 | − | 0.583826i | ||||
\(141\) | 92068.9 | + | 343606.i | 0.0328440 | + | 0.122575i | ||||
\(142\) | − | 2.13549e6i | − | 0.745818i | ||||||
\(143\) | 2.07614e6 | − | 260009.i | 0.709984 | − | 0.0889161i | ||||
\(144\) | 2003.23 | 0.000670877 | ||||||||
\(145\) | 55721.8 | − | 14930.6i | 0.0182777 | − | 0.00489749i | ||||
\(146\) | −1.19938e6 | + | 2.07739e6i | −0.385389 | + | 0.667513i | ||||
\(147\) | 1.21975e6 | − | 704223.i | 0.383989 | − | 0.221696i | ||||
\(148\) | 2.41653e6 | + | 2.41653e6i | 0.745429 | + | 0.745429i | ||||
\(149\) | 176765. | − | 659697.i | 0.0534366 | − | 0.199428i | −0.934047 | − | 0.357150i | \(-0.883748\pi\) |
0.987484 | + | 0.157722i | \(0.0504151\pi\) | |||||||
\(150\) | −364843. | − | 97759.5i | −0.108102 | − | 0.0289658i | ||||
\(151\) | −3.13486e6 | + | 3.13486e6i | −0.910515 | + | 0.910515i | −0.996313 | − | 0.0857972i | \(-0.972656\pi\) |
0.0857972 | + | 0.996313i | \(0.472656\pi\) | |||||||
\(152\) | −1.04856e6 | − | 1.81615e6i | −0.298580 | − | 0.517155i | ||||
\(153\) | −3.45734e6 | − | 1.99609e6i | −0.965311 | − | 0.557323i | ||||
\(154\) | 636116. | + | 2.37402e6i | 0.174170 | + | 0.650012i | ||||
\(155\) | 2.38888e6i | 0.641504i | ||||||||
\(156\) | 782511. | + | 108048.i | 0.206118 | + | 0.0284606i | ||||
\(157\) | 3.83603e6 | 0.991250 | 0.495625 | − | 0.868537i | \(-0.334939\pi\) | ||||
0.495625 | + | 0.868537i | \(0.334939\pi\) | |||||||
\(158\) | 2.66977e6 | − | 715362.i | 0.676865 | − | 0.181366i | ||||
\(159\) | 1.08754e6 | − | 1.88367e6i | 0.270554 | − | 0.468613i | ||||
\(160\) | 4.40074e6 | − | 2.54077e6i | 1.07440 | − | 0.620305i | ||||
\(161\) | 4.26068e6 | + | 4.26068e6i | 1.02094 | + | 1.02094i | ||||
\(162\) | 457586. | − | 1.70774e6i | 0.107629 | − | 0.401676i | ||||
\(163\) | −4.52726e6 | − | 1.21308e6i | −1.04538 | − | 0.280108i | −0.305036 | − | 0.952341i | \(-0.598669\pi\) |
−0.740340 | + | 0.672233i | \(0.765335\pi\) | |||||||
\(164\) | −46765.7 | + | 46765.7i | −0.0106022 | + | 0.0106022i | ||||
\(165\) | −670736. | − | 1.16175e6i | −0.149314 | − | 0.258619i | ||||
\(166\) | 334004. | + | 192837.i | 0.0730176 | + | 0.0421568i | ||||
\(167\) | 1.65611e6 | + | 6.18070e6i | 0.355582 | + | 1.32705i | 0.879750 | + | 0.475437i | \(0.157710\pi\) |
−0.524167 | + | 0.851615i | \(0.675623\pi\) | |||||||
\(168\) | 2.42842e6i | 0.512148i | ||||||||
\(169\) | −4.64620e6 | − | 1.30802e6i | −0.962582 | − | 0.270991i | ||||
\(170\) | −4.73176e6 | −0.963111 | ||||||||
\(171\) | 2.55822e6 | − | 685474.i | 0.511623 | − | 0.137089i | ||||
\(172\) | 2.01918e6 | − | 3.49732e6i | 0.396816 | − | 0.687305i | ||||
\(173\) | −1.88157e6 | + | 1.08632e6i | −0.363397 | + | 0.209807i | −0.670570 | − | 0.741846i | \(-0.733950\pi\) |
0.307173 | + | 0.951654i | \(0.400617\pi\) | |||||||
\(174\) | −11813.1 | − | 11813.1i | −0.00224241 | − | 0.00224241i | ||||
\(175\) | 1.13695e6 | − | 4.24315e6i | 0.212142 | − | 0.791725i | ||||
\(176\) | 2850.62 | + | 763.820i | 0.000522878 | + | 0.000140105i | ||||
\(177\) | 799539. | − | 799539.i | 0.144185 | − | 0.144185i | ||||
\(178\) | 1.81306e6 | + | 3.14031e6i | 0.321479 | + | 0.556817i | ||||
\(179\) | 7.13572e6 | + | 4.11981e6i | 1.24417 | + | 0.718320i | 0.969940 | − | 0.243345i | \(-0.0782447\pi\) |
0.274227 | + | 0.961665i | \(0.411578\pi\) | |||||||
\(180\) | 1.02663e6 | + | 3.83142e6i | 0.176033 | + | 0.656965i | ||||
\(181\) | − | 6.89585e6i | − | 1.16293i | −0.813573 | − | 0.581463i | \(-0.802481\pi\) | ||
0.813573 | − | 0.581463i | \(-0.197519\pi\) | |||||||
\(182\) | 775515. | − | 5.61646e6i | 0.128640 | − | 0.931641i | ||||
\(183\) | 694275. | 0.113287 | ||||||||
\(184\) | −5.70535e6 | + | 1.52875e6i | −0.915860 | + | 0.245404i | ||||
\(185\) | −6.69407e6 | + | 1.15945e7i | −1.05724 | + | 1.83120i | ||||
\(186\) | 599132. | − | 345909.i | 0.0931073 | − | 0.0537555i | ||||
\(187\) | −4.15872e6 | − | 4.15872e6i | −0.635968 | − | 0.635968i | ||||
\(188\) | 401062. | − | 1.49678e6i | 0.0603584 | − | 0.225261i | ||||
\(189\) | −6.30300e6 | − | 1.68888e6i | −0.933602 | − | 0.250158i | ||||
\(190\) | 2.21969e6 | − | 2.21969e6i | 0.323617 | − | 0.323617i | ||||
\(191\) | −3.49255e6 | − | 6.04927e6i | −0.501236 | − | 0.868166i | −0.999999 | − | 0.00142767i | \(-0.999546\pi\) |
0.498763 | − | 0.866738i | \(-0.333788\pi\) | |||||||
\(192\) | −1.27289e6 | − | 734904.i | −0.179841 | − | 0.103831i | ||||
\(193\) | −170632. | − | 636806.i | −0.0237349 | − | 0.0885799i | 0.953042 | − | 0.302837i | \(-0.0979337\pi\) |
−0.976777 | + | 0.214257i | \(0.931267\pi\) | |||||||
\(194\) | 6.27804e6i | 0.859842i | ||||||||
\(195\) | 384554. | + | 3.07062e6i | 0.0518626 | + | 0.414116i | ||||
\(196\) | −6.13534e6 | −0.814836 | ||||||||
\(197\) | −3.13085e6 | + | 838909.i | −0.409509 | + | 0.109728i | −0.457692 | − | 0.889111i | \(-0.651324\pi\) |
0.0481825 | + | 0.998839i | \(0.484657\pi\) | |||||||
\(198\) | 1.52135e6 | − | 2.63505e6i | 0.195989 | − | 0.339463i | ||||
\(199\) | 1.17491e7 | − | 6.78336e6i | 1.49089 | − | 0.860767i | 0.490947 | − | 0.871190i | \(-0.336651\pi\) |
0.999946 | + | 0.0104224i | \(0.00331760\pi\) | |||||||
\(200\) | 3.04491e6 | + | 3.04491e6i | 0.380614 | + | 0.380614i | ||||
\(201\) | −863850. | + | 3.22393e6i | −0.106378 | + | 0.397007i | ||||
\(202\) | 1.67872e6 | + | 449813.i | 0.203669 | + | 0.0545730i | ||||
\(203\) | 137387. | − | 137387.i | 0.0164232 | − | 0.0164232i | ||||
\(204\) | −1.11020e6 | − | 1.92292e6i | −0.130771 | − | 0.226501i | ||||
\(205\) | −224382. | − | 129547.i | −0.0260451 | − | 0.0150371i | ||||
\(206\) | −349132. | − | 1.30298e6i | −0.0399381 | − | 0.149051i | ||||
\(207\) | − | 7.45954e6i | − | 0.841010i | ||||||
\(208\) | −5374.88 | − | 4178.45i | −0.000597281 | − | 0.000464328i | ||||
\(209\) | 3.90175e6 | 0.427386 | ||||||||
\(210\) | −3.51118e6 | + | 940818.i | −0.379136 | + | 0.101589i | ||||
\(211\) | −167666. | + | 290406.i | −0.0178483 | + | 0.0309142i | −0.874812 | − | 0.484463i | \(-0.839015\pi\) |
0.856963 | + | 0.515377i | \(0.172348\pi\) | |||||||
\(212\) | −8.20549e6 | + | 4.73744e6i | −0.861186 | + | 0.497206i | ||||
\(213\) | 2.77590e6 | + | 2.77590e6i | 0.287253 | + | 0.287253i | ||||
\(214\) | −1.62517e6 | + | 6.06523e6i | −0.165828 | + | 0.618879i | ||||
\(215\) | 1.52814e7 | + | 4.09463e6i | 1.53761 | + | 0.412002i | ||||
\(216\) | 4.52307e6 | − | 4.52307e6i | 0.448819 | − | 0.448819i | ||||
\(217\) | 4.02295e6 | + | 6.96795e6i | 0.393700 | + | 0.681908i | ||||
\(218\) | −1.21871e6 | − | 703624.i | −0.117634 | − | 0.0679158i | ||||
\(219\) | −1.14132e6 | − | 4.25945e6i | −0.108661 | − | 0.405528i | ||||
\(220\) | 5.84359e6i | 0.548797i | ||||||||
\(221\) | 5.11283e6 | + | 1.25672e7i | 0.473680 | + | 1.16429i | ||||
\(222\) | 3.87720e6 | 0.354372 | ||||||||
\(223\) | 7.94252e6 | − | 2.12819e6i | 0.716215 | − | 0.191909i | 0.117733 | − | 0.993045i | \(-0.462437\pi\) |
0.598482 | + | 0.801136i | \(0.295771\pi\) | |||||||
\(224\) | 8.55747e6 | − | 1.48220e7i | 0.761379 | − | 1.31875i | ||||
\(225\) | −4.70970e6 | + | 2.71915e6i | −0.413472 | + | 0.238718i | ||||
\(226\) | −1.30159e6 | − | 1.30159e6i | −0.112758 | − | 0.112758i | ||||
\(227\) | −1.76030e6 | + | 6.56953e6i | −0.150490 | + | 0.561638i | 0.848959 | + | 0.528459i | \(0.177230\pi\) |
−0.999449 | + | 0.0331793i | \(0.989437\pi\) | |||||||
\(228\) | 1.42285e6 | + | 381251.i | 0.120048 | + | 0.0321667i | ||||
\(229\) | −7.40252e6 | + | 7.40252e6i | −0.616415 | + | 0.616415i | −0.944610 | − | 0.328195i | \(-0.893560\pi\) |
0.328195 | + | 0.944610i | \(0.393560\pi\) | |||||||
\(230\) | −4.42073e6 | − | 7.65694e6i | −0.363338 | − | 0.629320i | ||||
\(231\) | −3.91284e6 | − | 2.25908e6i | −0.317436 | − | 0.183272i | ||||
\(232\) | 49294.9 | + | 183971.i | 0.00394764 | + | 0.0147328i | ||||
\(233\) | − | 2.35159e7i | − | 1.85906i | −0.368745 | − | 0.929531i | \(-0.620212\pi\) | ||
0.368745 | − | 0.929531i | \(-0.379788\pi\) | |||||||
\(234\) | −5.59549e6 | + | 4.23773e6i | −0.436707 | + | 0.330739i | ||||
\(235\) | 6.07057e6 | 0.467763 | ||||||||
\(236\) | −4.75770e6 | + | 1.27482e6i | −0.361960 | + | 0.0969870i | ||||
\(237\) | −2.54051e6 | + | 4.40030e6i | −0.190843 | + | 0.330550i | ||||
\(238\) | −1.38017e7 | + | 7.96843e6i | −1.02377 | + | 0.591074i | ||||
\(239\) | −1.42176e7 | − | 1.42176e7i | −1.04144 | − | 1.04144i | −0.999103 | − | 0.0423355i | \(-0.986520\pi\) |
−0.0423355 | − | 0.999103i | \(-0.513480\pi\) | |||||||
\(240\) | −1129.69 | + | 4216.07i | −8.17197e−5 | + | 0.000304982i | ||||
\(241\) | 3.44530e6 | + | 923165.i | 0.246136 | + | 0.0659520i | 0.379778 | − | 0.925078i | \(-0.376000\pi\) |
−0.133642 | + | 0.991030i | \(0.542667\pi\) | |||||||
\(242\) | −3.02124e6 | + | 3.02124e6i | −0.213177 | + | 0.213177i | ||||
\(243\) | 6.17994e6 | + | 1.07040e7i | 0.430690 | + | 0.745978i | ||||
\(244\) | −2.61915e6 | − | 1.51217e6i | −0.180298 | − | 0.104095i | ||||
\(245\) | −6.22084e6 | − | 2.32165e7i | −0.423010 | − | 1.57869i | ||||
\(246\) | 75033.3i | 0.00504021i | ||||||||
\(247\) | −8.29378e6 | − | 3.49689e6i | −0.550379 | − | 0.232055i | ||||
\(248\) | −7.88713e6 | −0.517087 | ||||||||
\(249\) | −684836. | + | 183501.i | −0.0443597 | + | 0.0118861i | ||||
\(250\) | 2.76321e6 | − | 4.78602e6i | 0.176846 | − | 0.306306i | ||||
\(251\) | −6.54138e6 | + | 3.77667e6i | −0.413665 | + | 0.238829i | −0.692363 | − | 0.721549i | \(-0.743430\pi\) |
0.278699 | + | 0.960379i | \(0.410097\pi\) | |||||||
\(252\) | 9.44671e6 | + | 9.44671e6i | 0.590309 | + | 0.590309i | ||||
\(253\) | 2.84428e6 | − | 1.06150e7i | 0.175635 | − | 0.655479i | ||||
\(254\) | −1.55137e6 | − | 415689.i | −0.0946705 | − | 0.0253669i | ||||
\(255\) | 6.15077e6 | − | 6.15077e6i | 0.370945 | − | 0.370945i | ||||
\(256\) | 8.38468e6 | + | 1.45227e7i | 0.499766 | + | 0.865620i | ||||
\(257\) | 2.36040e7 | + | 1.36278e7i | 1.39055 | + | 0.802834i | 0.993376 | − | 0.114910i | \(-0.0366580\pi\) |
0.397173 | + | 0.917744i | \(0.369991\pi\) | |||||||
\(258\) | −1.18580e6 | − | 4.42547e6i | −0.0690483 | − | 0.257692i | ||||
\(259\) | 4.50921e7i | 2.59538i | ||||||||
\(260\) | 5.23724e6 | − | 1.24215e7i | 0.297977 | − | 0.706730i | ||||
\(261\) | −240535. | −0.0135287 | ||||||||
\(262\) | 4.08607e6 | − | 1.09486e6i | 0.227197 | − | 0.0608771i | ||||
\(263\) | −1.21155e6 | + | 2.09846e6i | −0.0665998 | + | 0.115354i | −0.897403 | − | 0.441213i | \(-0.854548\pi\) |
0.830803 | + | 0.556567i | \(0.187882\pi\) | |||||||
\(264\) | 3.83563e6 | − | 2.21450e6i | 0.208461 | − | 0.120355i | ||||
\(265\) | −2.62466e7 | − | 2.62466e7i | −1.41038 | − | 1.41038i | ||||
\(266\) | 2.73642e6 | − | 1.02125e7i | 0.145391 | − | 0.542607i | ||||
\(267\) | −6.43884e6 | − | 1.72528e6i | −0.338278 | − | 0.0906413i | ||||
\(268\) | 1.02808e7 | − | 1.02808e7i | 0.534098 | − | 0.534098i | ||||
\(269\) | 1.25867e7 | + | 2.18008e7i | 0.646628 | + | 1.11999i | 0.983923 | + | 0.178594i | \(0.0571548\pi\) |
−0.337295 | + | 0.941399i | \(0.609512\pi\) | |||||||
\(270\) | 8.29209e6 | + | 4.78744e6i | 0.421282 | + | 0.243227i | ||||
\(271\) | −3.19870e6 | − | 1.19377e7i | −0.160719 | − | 0.599810i | −0.998548 | − | 0.0538771i | \(-0.982842\pi\) |
0.837829 | − | 0.545933i | \(-0.183825\pi\) | |||||||
\(272\) | 19136.3i | 0.000950936i | ||||||||
\(273\) | 6.29270e6 | + | 8.30886e6i | 0.309278 | + | 0.408370i | ||||
\(274\) | 9.42855e6 | 0.458346 | ||||||||
\(275\) | −7.73875e6 | + | 2.07359e6i | −0.372111 | + | 0.0997069i | ||||
\(276\) | 2.07444e6 | − | 3.59304e6i | 0.0986676 | − | 0.170897i | ||||
\(277\) | −3.22905e7 | + | 1.86429e7i | −1.51927 | + | 0.877153i | −0.519530 | + | 0.854452i | \(0.673893\pi\) |
−0.999742 | + | 0.0227006i | \(0.992774\pi\) | |||||||
\(278\) | 1.44237e7 | + | 1.44237e7i | 0.671341 | + | 0.671341i | ||||
\(279\) | 2.57803e6 | − | 9.62136e6i | 0.118707 | − | 0.443020i | ||||
\(280\) | 4.00295e7 | + | 1.07259e7i | 1.82350 | + | 0.488605i | ||||
\(281\) | 1.19883e7 | − | 1.19883e7i | 0.540304 | − | 0.540304i | −0.383314 | − | 0.923618i | \(-0.625217\pi\) |
0.923618 | + | 0.383314i | \(0.125217\pi\) | |||||||
\(282\) | −879016. | − | 1.52250e6i | −0.0391967 | − | 0.0678906i | ||||
\(283\) | 1.22628e6 | + | 707994.i | 0.0541042 | + | 0.0312371i | 0.526808 | − | 0.849984i | \(-0.323389\pi\) |
−0.472704 | + | 0.881221i | \(0.656722\pi\) | |||||||
\(284\) | −4.42603e6 | − | 1.65182e7i | −0.193223 | − | 0.721118i | ||||
\(285\) | 5.77070e6i | 0.249284i | ||||||||
\(286\) | −9.57826e6 | + | 3.89680e6i | −0.409438 | + | 0.166575i | ||||
\(287\) | −872643. | −0.0369140 | ||||||||
\(288\) | −2.04662e7 | + | 5.48390e6i | −0.856761 | + | 0.229568i | ||||
\(289\) | 6.99935e6 | − | 1.21232e7i | 0.289977 | − | 0.502256i | ||||
\(290\) | −246900. | + | 142548.i | −0.0101234 | + | 0.00584476i | ||||
\(291\) | −8.16076e6 | − | 8.16076e6i | −0.331170 | − | 0.331170i | ||||
\(292\) | −4.97169e6 | + | 1.85546e7i | −0.199690 | + | 0.745252i | ||||
\(293\) | −2.35256e7 | − | 6.30367e6i | −0.935273 | − | 0.250606i | −0.241171 | − | 0.970483i | \(-0.577531\pi\) |
−0.694102 | + | 0.719877i | \(0.744198\pi\) | |||||||
\(294\) | −4.92193e6 | + | 4.92193e6i | −0.193684 | + | 0.193684i | ||||
\(295\) | −9.64800e6 | − | 1.67108e7i | −0.375812 | − | 0.650926i | ||||
\(296\) | −3.82803e7 | − | 2.21011e7i | −1.47605 | − | 0.852196i | ||||
\(297\) | 3.08022e6 | + | 1.14955e7i | 0.117574 | + | 0.438793i | ||||
\(298\) | 3.37529e6i | 0.127545i | ||||||||
\(299\) | −1.55595e7 | + | 2.00147e7i | −0.582081 | + | 0.748749i | ||||
\(300\) | −3.02470e6 | −0.112026 | ||||||||
\(301\) | 5.14685e7 | − | 1.37910e7i | 1.88731 | − | 0.505702i | ||||
\(302\) | 1.09550e7 | − | 1.89746e7i | 0.397734 | − | 0.688895i | ||||
\(303\) | −2.76686e6 | + | 1.59745e6i | −0.0994626 | + | 0.0574247i | ||||
\(304\) | −8976.91 | − | 8976.91i | −0.000319526 | − | 0.000319526i | ||||
\(305\) | 3.06648e6 | − | 1.14443e7i | 0.108079 | − | 0.403356i | ||||
\(306\) | 1.90574e7 | + | 5.10643e6i | 0.665121 | + | 0.178219i | ||||
\(307\) | −1.63598e7 | + | 1.63598e7i | −0.565410 | + | 0.565410i | −0.930839 | − | 0.365429i | \(-0.880922\pi\) |
0.365429 | + | 0.930839i | \(0.380922\pi\) | |||||||
\(308\) | 9.84079e6 | + | 1.70447e7i | 0.336804 | + | 0.583362i | ||||
\(309\) | 2.14756e6 | + | 1.23989e6i | 0.0727897 | + | 0.0420251i | ||||
\(310\) | −3.05563e6 | − | 1.14038e7i | −0.102569 | − | 0.382792i | ||||
\(311\) | − | 5.07520e7i | − | 1.68722i | −0.536957 | − | 0.843610i | \(-0.680426\pi\) | ||
0.536957 | − | 0.843610i | \(-0.319574\pi\) | |||||||
\(312\) | −1.01380e7 | + | 1.26964e6i | −0.333800 | + | 0.0418041i | ||||
\(313\) | −2.28509e6 | −0.0745197 | −0.0372599 | − | 0.999306i | \(-0.511863\pi\) | ||||
−0.0372599 | + | 0.999306i | \(0.511863\pi\) | |||||||
\(314\) | −1.83120e7 | + | 4.90669e6i | −0.591489 | + | 0.158489i | ||||
\(315\) | −2.61686e7 | + | 4.53253e7i | −0.837236 | + | 1.45014i | ||||
\(316\) | 1.91682e7 | − | 1.10667e7i | 0.607462 | − | 0.350718i | ||||
\(317\) | 7.52499e6 | + | 7.52499e6i | 0.236226 | + | 0.236226i | 0.815285 | − | 0.579059i | \(-0.196580\pi\) |
−0.579059 | + | 0.815285i | \(0.696580\pi\) | |||||||
\(318\) | −2.78216e6 | + | 1.03831e7i | −0.0865167 | + | 0.322885i | ||||
\(319\) | −342284. | − | 91714.8i | −0.0105442 | − | 0.00282532i | ||||
\(320\) | −1.77361e7 | + | 1.77361e7i | −0.541263 | + | 0.541263i | ||||
\(321\) | −5.77158e6 | − | 9.99667e6i | −0.174494 | − | 0.302232i | ||||
\(322\) | −2.57890e7 | − | 1.48893e7i | −0.772444 | − | 0.445971i | ||||
\(323\) | 6.54814e6 | + | 2.44380e7i | 0.194317 | + | 0.725201i | ||||
\(324\) | − | 1.41578e7i | − | 0.416257i | ||||||
\(325\) | 1.83084e7 | + | 2.52800e6i | 0.533335 | + | 0.0736423i | ||||
\(326\) | 2.31634e7 | 0.668573 | ||||||||
\(327\) | 2.49882e6 | − | 669558.i | 0.0714649 | − | 0.0191489i | ||||
\(328\) | 427712. | − | 740819.i | 0.0121208 | − | 0.0209938i | ||||
\(329\) | 1.77068e7 | − | 1.02230e7i | 0.497224 | − | 0.287072i | ||||
\(330\) | 4.68788e6 | + | 4.68788e6i | 0.130447 | + | 0.130447i | ||||
\(331\) | −2.71683e6 | + | 1.01394e7i | −0.0749168 | + | 0.279593i | −0.993214 | − | 0.116297i | \(-0.962897\pi\) |
0.918298 | + | 0.395891i | \(0.129564\pi\) | |||||||
\(332\) | 2.98322e6 | + | 799351.i | 0.0815213 | + | 0.0218436i | ||||
\(333\) | 3.94733e7 | − | 3.94733e7i | 1.06898 | − | 1.06898i | ||||
\(334\) | −1.58115e7 | − | 2.73863e7i | −0.424360 | − | 0.735012i | ||||
\(335\) | 4.93271e7 | + | 2.84790e7i | 1.31205 | + | 0.757513i | ||||
\(336\) | 3804.87 | + | 14200.0i | 0.000100305 | + | 0.000374343i | ||||
\(337\) | 6.33481e6i | 0.165518i | 0.996570 | + | 0.0827588i | \(0.0263731\pi\) | ||||
−0.996570 | + | 0.0827588i | \(0.973627\pi\) | |||||||
\(338\) | 2.38526e7 | + | 301113.i | 0.617711 | + | 0.00779794i | ||||
\(339\) | 3.38384e6 | 0.0868581 | ||||||||
\(340\) | −3.66005e7 | + | 9.80707e6i | −0.931215 | + | 0.249518i | ||||
\(341\) | 7.33714e6 | − | 1.27083e7i | 0.185039 | − | 0.320497i | ||||
\(342\) | −1.13354e7 | + | 6.54447e6i | −0.283372 | + | 0.163605i | ||||
\(343\) | −1.38016e7 | − | 1.38016e7i | −0.342017 | − | 0.342017i | ||||
\(344\) | −1.35188e7 | + | 5.04529e7i | −0.332096 | + | 1.23940i | ||||
\(345\) | 1.56996e7 | + | 4.20671e6i | 0.382325 | + | 0.102444i | ||||
\(346\) | 7.59248e6 | − | 7.59248e6i | 0.183297 | − | 0.183297i | ||||
\(347\) | 1.00637e7 | + | 1.74308e7i | 0.240862 | + | 0.417186i | 0.960960 | − | 0.276687i | \(-0.0892365\pi\) |
−0.720098 | + | 0.693872i | \(0.755903\pi\) | |||||||
\(348\) | −115859. | − | 66891.1i | −0.00274911 | − | 0.00158720i | ||||
\(349\) | 1.03111e7 | + | 3.84816e7i | 0.242566 | + | 0.905268i | 0.974591 | + | 0.223991i | \(0.0719086\pi\) |
−0.732025 | + | 0.681277i | \(0.761425\pi\) | |||||||
\(350\) | 2.17098e7i | 0.506350i | ||||||||
\(351\) | 3.75522e6 | − | 2.71962e7i | 0.0868389 | − | 0.628908i | ||||
\(352\) | −3.12146e7 | −0.715697 | ||||||||
\(353\) | −1.26671e7 | + | 3.39413e6i | −0.287973 | + | 0.0771622i | −0.399914 | − | 0.916553i | \(-0.630960\pi\) |
0.111941 | + | 0.993715i | \(0.464293\pi\) | |||||||
\(354\) | −2.79405e6 | + | 4.83944e6i | −0.0629832 | + | 0.109090i | ||||
\(355\) | 5.80179e7 | − | 3.34967e7i | 1.29681 | − | 0.748715i | ||||
\(356\) | 2.05327e7 | + | 2.05327e7i | 0.455090 | + | 0.455090i | ||||
\(357\) | 7.58264e6 | − | 2.82988e7i | 0.166654 | − | 0.621961i | ||||
\(358\) | −3.93333e7 | − | 1.05393e7i | −0.857258 | − | 0.229702i | ||||
\(359\) | −1.46920e7 | + | 1.46920e7i | −0.317538 | + | 0.317538i | −0.847821 | − | 0.530283i | \(-0.822086\pi\) |
0.530283 | + | 0.847821i | \(0.322086\pi\) | |||||||
\(360\) | −2.56522e7 | − | 4.44309e7i | −0.549815 | − | 0.952308i | ||||
\(361\) | 2.62072e7 | + | 1.51307e7i | 0.557056 | + | 0.321617i | ||||
\(362\) | 8.82052e6 | + | 3.29186e7i | 0.185938 | + | 0.693930i | ||||
\(363\) | − | 7.85457e6i | − | 0.164211i | ||||||
\(364\) | −5.64204e6 | − | 4.50510e7i | −0.116986 | − | 0.934115i | ||||
\(365\) | −7.52527e7 | −1.54755 | ||||||||
\(366\) | −3.31425e6 | + | 888051.i | −0.0675993 | + | 0.0181132i | ||||
\(367\) | −1.81304e7 | + | 3.14028e7i | −0.366784 | + | 0.635288i | −0.989061 | − | 0.147509i | \(-0.952874\pi\) |
0.622277 | + | 0.782797i | \(0.286208\pi\) | |||||||
\(368\) | −30966.3 | + | 17878.4i | −0.000621365 | + | 0.000358745i | ||||
\(369\) | 763906. | + | 763906.i | 0.0152041 | + | 0.0152041i | ||||
\(370\) | 1.71248e7 | − | 6.39108e7i | 0.338081 | − | 1.26174i | ||||
\(371\) | −1.20757e8 | − | 3.23567e7i | −2.36477 | − | 0.633639i | ||||
\(372\) | 3.91739e6 | − | 3.91739e6i | 0.0760971 | − | 0.0760971i | ||||
\(373\) | −2.08755e7 | − | 3.61574e7i | −0.402263 | − | 0.696740i | 0.591735 | − | 0.806132i | \(-0.298443\pi\) |
−0.993999 | + | 0.109392i | \(0.965110\pi\) | |||||||
\(374\) | 2.51719e7 | + | 1.45330e7i | 0.481173 | + | 0.277805i | ||||
\(375\) | 2.62943e6 | + | 9.81318e6i | 0.0498618 | + | 0.186087i | ||||
\(376\) | 2.00426e7i | 0.377042i | ||||||||
\(377\) | 645382. | + | 501722.i | 0.0120446 | + | 0.00936352i | ||||
\(378\) | 3.22488e7 | 0.597087 | ||||||||
\(379\) | −4.40128e6 | + | 1.17932e6i | −0.0808466 | + | 0.0216628i | −0.299016 | − | 0.954248i | \(-0.596658\pi\) |
0.218169 | + | 0.975911i | \(0.429992\pi\) | |||||||
\(380\) | 1.25689e7 | − | 2.17700e7i | 0.229058 | − | 0.396741i | ||||
\(381\) | 2.55696e6 | − | 1.47626e6i | 0.0462327 | − | 0.0266925i | ||||
\(382\) | 2.44100e7 | + | 2.44100e7i | 0.437902 | + | 0.437902i | ||||
\(383\) | −2.73848e6 | + | 1.02201e7i | −0.0487431 | + | 0.181912i | −0.986005 | − | 0.166713i | \(-0.946685\pi\) |
0.937262 | + | 0.348625i | \(0.113351\pi\) | |||||||
\(384\) | −1.13916e7 | − | 3.05237e6i | −0.201183 | − | 0.0539068i | ||||
\(385\) | −5.45204e7 | + | 5.45204e7i | −0.955381 | + | 0.955381i | ||||
\(386\) | 1.62908e6 | + | 2.82165e6i | 0.0283257 | + | 0.0490616i | ||||
\(387\) | −5.71277e7 | − | 3.29827e7i | −0.985630 | − | 0.569054i | ||||
\(388\) | 1.30119e7 | + | 4.85610e7i | 0.222764 | + | 0.831367i | ||||
\(389\) | − | 3.79607e7i | − | 0.644889i | −0.946588 | − | 0.322445i | \(-0.895495\pi\) | ||
0.946588 | − | 0.322445i | \(-0.104505\pi\) | |||||||
\(390\) | −5.76339e6 | − | 1.41663e7i | −0.0971592 | − | 0.238815i | ||||
\(391\) | 7.12590e7 | 1.19209 | ||||||||
\(392\) | 7.66515e7 | − | 2.05387e7i | 1.27251 | − | 0.340969i | ||||
\(393\) | −3.88824e6 | + | 6.73463e6i | −0.0640583 | + | 0.110952i | ||||
\(394\) | 1.38726e7 | − | 8.00938e6i | 0.226814 | − | 0.130951i | ||||
\(395\) | 6.13125e7 | + | 6.13125e7i | 0.994850 | + | 0.994850i | ||||
\(396\) | 6.30629e6 | − | 2.35354e7i | 0.101552 | − | 0.378997i | ||||
\(397\) | 4.47978e7 | + | 1.20035e7i | 0.715954 | + | 0.191839i | 0.598366 | − | 0.801223i | \(-0.295817\pi\) |
0.117588 | + | 0.993062i | \(0.462484\pi\) | |||||||
\(398\) | −4.74100e7 | + | 4.74100e7i | −0.752005 | + | 0.752005i | ||||
\(399\) | 9.71803e6 | + | 1.68321e7i | 0.152989 | + | 0.264984i | ||||
\(400\) | 22575.7 | + | 13034.1i | 0.000352745 | + | 0.000203657i | ||||
\(401\) | −1.78451e6 | − | 6.65990e6i | −0.0276750 | − | 0.103284i | 0.950707 | − | 0.310091i | \(-0.100360\pi\) |
−0.978382 | + | 0.206807i | \(0.933693\pi\) | |||||||
\(402\) | − | 1.64950e7i | − | 0.253907i | ||||||
\(403\) | −2.69859e7 | + | 2.04377e7i | −0.412308 | + | 0.312260i | ||||
\(404\) | 1.39173e7 | 0.211063 | ||||||||
\(405\) | 5.35741e7 | − | 1.43551e7i | 0.806472 | − | 0.216094i | ||||
\(406\) | −480110. | + | 831575.i | −0.00717402 | + | 0.0124258i | ||||
\(407\) | 7.12218e7 | − | 4.11199e7i | 1.05640 | − | 0.609915i | ||||
\(408\) | 2.03074e7 | + | 2.03074e7i | 0.299002 | + | 0.299002i | ||||
\(409\) | −1.04813e7 | + | 3.91166e7i | −0.153195 | + | 0.571730i | 0.846058 | + | 0.533090i | \(0.178969\pi\) |
−0.999253 | + | 0.0386403i | \(0.987697\pi\) | |||||||
\(410\) | 1.23683e6 | + | 331408.i | 0.0179456 | + | 0.00480852i | ||||
\(411\) | −1.22561e7 | + | 1.22561e7i | −0.176533 | + | 0.176533i | ||||
\(412\) | −5.40111e6 | − | 9.35500e6i | −0.0772309 | − | 0.133768i | ||||
\(413\) | −5.62830e7 | − | 3.24950e7i | −0.798964 | − | 0.461282i | ||||
\(414\) | 9.54154e6 | + | 3.56095e7i | 0.134468 | + | 0.501840i | ||||
\(415\) | 1.20992e7i | 0.169282i | ||||||||
\(416\) | 6.63516e7 | + | 2.79756e7i | 0.921661 | + | 0.388598i | ||||
\(417\) | −3.74985e7 | −0.517137 | ||||||||
\(418\) | −1.86257e7 | + | 4.99074e6i | −0.255026 | + | 0.0683339i | ||||
\(419\) | −1.96125e7 | + | 3.39698e7i | −0.266619 | + | 0.461797i | −0.967986 | − | 0.251002i | \(-0.919240\pi\) |
0.701368 | + | 0.712800i | \(0.252573\pi\) | |||||||
\(420\) | −2.52092e7 | + | 1.45546e7i | −0.340261 | + | 0.196450i | ||||
\(421\) | −2.96788e7 | − | 2.96788e7i | −0.397740 | − | 0.397740i | 0.479695 | − | 0.877435i | \(-0.340747\pi\) |
−0.877435 | + | 0.479695i | \(0.840747\pi\) | |||||||
\(422\) | 428925. | − | 1.60077e6i | 0.00570747 | − | 0.0213006i | ||||
\(423\) | −2.44495e7 | − | 6.55124e6i | −0.323035 | − | 0.0865570i | ||||
\(424\) | 8.66557e7 | − | 8.66557e7i | 1.13684 | − | 1.13684i | ||||
\(425\) | −2.59753e7 | − | 4.49905e7i | −0.338371 | − | 0.586076i | ||||
\(426\) | −1.68019e7 | − | 9.70061e6i | −0.217336 | − | 0.125479i | ||||
\(427\) | −1.03281e7 | − | 3.85450e7i | −0.132659 | − | 0.495090i | ||||
\(428\) | 5.02832e7i | 0.641345i | ||||||||
\(429\) | 7.38527e6 | − | 1.75161e7i | 0.0935394 | − | 0.221853i | ||||
\(430\) | −7.81858e7 | −0.983383 | ||||||||
\(431\) | 4.23018e6 | − | 1.13347e6i | 0.0528357 | − | 0.0141573i | −0.232304 | − | 0.972643i | \(-0.574627\pi\) |
0.285140 | + | 0.958486i | \(0.407960\pi\) | |||||||
\(432\) | 19361.5 | − | 33535.0i | 0.000240152 | − | 0.000415956i | ||||
\(433\) | 7.46948e7 | − | 4.31251e7i | 0.920082 | − | 0.531210i | 0.0364211 | − | 0.999337i | \(-0.488404\pi\) |
0.883661 | + | 0.468127i | \(0.155071\pi\) | |||||||
\(434\) | −2.81170e7 | − | 2.81170e7i | −0.343954 | − | 0.343954i | ||||
\(435\) | 135647. | − | 506240.i | 0.00164794 | − | 0.00615019i | ||||
\(436\) | −1.08851e7 | − | 2.91667e6i | −0.131333 | − | 0.0351906i | ||||
\(437\) | −3.34278e7 | + | 3.34278e7i | −0.400557 | + | 0.400557i | ||||
\(438\) | 1.08966e7 | + | 1.88734e7i | 0.129678 | + | 0.224609i | ||||
\(439\) | −8.03083e7 | − | 4.63660e7i | −0.949220 | − | 0.548032i | −0.0563814 | − | 0.998409i | \(-0.517956\pi\) |
−0.892839 | + | 0.450377i | \(0.851290\pi\) | |||||||
\(440\) | −1.95621e7 | − | 7.30066e7i | −0.229645 | − | 0.857046i | ||||
\(441\) | 1.00219e8i | 1.16852i | ||||||||
\(442\) | −4.04819e7 | − | 5.34522e7i | −0.468807 | − | 0.619011i | ||||
\(443\) | −5.32456e6 | −0.0612453 | −0.0306226 | − | 0.999531i | \(-0.509749\pi\) | ||||
−0.0306226 | + | 0.999531i | \(0.509749\pi\) | |||||||
\(444\) | 2.99903e7 | − | 8.03589e6i | 0.342636 | − | 0.0918090i | ||||
\(445\) | −5.68782e7 | + | 9.85160e7i | −0.645455 | + | 1.11796i | ||||
\(446\) | −3.51929e7 | + | 2.03186e7i | −0.396689 | + | 0.229029i | ||||
\(447\) | −4.38750e6 | − | 4.38750e6i | −0.0491241 | − | 0.0491241i | ||||
\(448\) | −2.18650e7 | + | 8.16012e7i | −0.243173 | + | 0.907534i | ||||
\(449\) | 1.37952e7 | + | 3.69642e6i | 0.152402 | + | 0.0408360i | 0.334213 | − | 0.942497i | \(-0.391529\pi\) |
−0.181811 | + | 0.983333i | \(0.558196\pi\) | |||||||
\(450\) | 1.90046e7 | − | 1.90046e7i | 0.208555 | − | 0.208555i | ||||
\(451\) | 795772. | + | 1.37832e6i | 0.00867479 | + | 0.0150252i | ||||
\(452\) | −1.27655e7 | − | 7.37018e6i | −0.138237 | − | 0.0798110i | ||||
\(453\) | 1.04246e7 | + | 3.89053e7i | 0.112141 | + | 0.418518i | ||||
\(454\) | − | 3.36125e7i | − | 0.359197i | ||||||
\(455\) | 1.64755e8 | − | 6.70286e7i | 1.74906 | − | 0.711584i | ||||
\(456\) | −1.90525e7 | −0.200936 | ||||||||
\(457\) | −2.19469e7 | + | 5.88065e6i | −0.229945 | + | 0.0616137i | −0.371952 | − | 0.928252i | \(-0.621311\pi\) |
0.142006 | + | 0.989866i | \(0.454645\pi\) | |||||||
\(458\) | 2.58687e7 | − | 4.48059e7i | 0.269264 | − | 0.466379i | ||||
\(459\) | −6.68312e7 | + | 3.85850e7i | −0.691100 | + | 0.399007i | ||||
\(460\) | −5.00644e7 | − | 5.00644e7i | −0.514347 | − | 0.514347i | ||||
\(461\) | −6.59036e6 | + | 2.45955e7i | −0.0672676 | + | 0.251046i | −0.991369 | − | 0.131101i | \(-0.958149\pi\) |
0.924101 | + | 0.382147i | \(0.124815\pi\) | |||||||
\(462\) | 2.15683e7 | + | 5.77920e6i | 0.218720 | + | 0.0586059i | ||||
\(463\) | 6.94735e7 | − | 6.94735e7i | 0.699965 | − | 0.699965i | −0.264438 | − | 0.964403i | \(-0.585186\pi\) |
0.964403 | + | 0.264438i | \(0.0851864\pi\) | |||||||
\(464\) | 576.495 | + | 998.519i | 5.77088e−6 | + | 9.99546e-6i | ||||
\(465\) | 1.87956e7 | + | 1.08517e7i | 0.186938 | + | 0.107929i | ||||
\(466\) | 3.00793e7 | + | 1.12257e8i | 0.297242 | + | 1.10932i | ||||
\(467\) | − | 3.86547e7i | − | 0.379534i | −0.981829 | − | 0.189767i | \(-0.939227\pi\) | ||
0.981829 | − | 0.189767i | \(-0.0607733\pi\) | |||||||
\(468\) | −3.44983e7 | + | 4.43763e7i | −0.336558 | + | 0.432926i | ||||
\(469\) | 1.91838e8 | 1.85958 | ||||||||
\(470\) | −2.89790e7 | + | 7.76489e6i | −0.279119 | + | 0.0747897i | ||||
\(471\) | 1.74254e7 | − | 3.01817e7i | 0.166771 | − | 0.288856i | ||||
\(472\) | 5.51724e7 | − | 3.18538e7i | 0.524682 | − | 0.302925i | ||||
\(473\) | −6.87172e7 | − | 6.87172e7i | −0.649354 | − | 0.649354i | ||||
\(474\) | 6.49916e6 | − | 2.42552e7i | 0.0610271 | − | 0.227756i | ||||
\(475\) | 3.32903e7 | + | 8.92011e6i | 0.310625 | + | 0.0832318i | ||||
\(476\) | −9.02418e7 | + | 9.02418e7i | −0.836733 | + | 0.836733i | ||||
\(477\) | 7.73848e7 | + | 1.34034e8i | 0.713018 | + | 1.23498i | ||||
\(478\) | 8.60564e7 | + | 4.96847e7i | 0.787951 | + | 0.454924i | ||||
\(479\) | −4.41084e7 | − | 1.64615e8i | −0.401342 | − | 1.49783i | −0.810704 | − | 0.585457i | \(-0.800915\pi\) |
0.409361 | − | 0.912372i | \(-0.365752\pi\) | |||||||
\(480\) | − | 4.61665e7i | − | 0.417449i | ||||||
\(481\) | −1.88247e8 | + | 2.35754e7i | −1.69158 | + | 0.211848i | ||||
\(482\) | −1.76276e7 | −0.157417 | ||||||||
\(483\) | 5.28773e7 | − | 1.41684e7i | 0.469276 | − | 0.125742i | ||||
\(484\) | −1.71077e7 | + | 2.96313e7i | −0.150888 | + | 0.261346i | ||||
\(485\) | −1.70564e8 | + | 9.84755e7i | −1.49508 | + | 0.863183i | ||||
\(486\) | −4.31926e7 | − | 4.31926e7i | −0.376271 | − | 0.376271i | ||||
\(487\) | 2.56860e7 | − | 9.58613e7i | 0.222387 | − | 0.829959i | −0.761048 | − | 0.648696i | \(-0.775315\pi\) |
0.983435 | − | 0.181263i | \(-0.0580185\pi\) | |||||||
\(488\) | 3.77844e7 | + | 1.01243e7i | 0.325127 | + | 0.0871175i | ||||
\(489\) | −3.01098e7 | + | 3.01098e7i | −0.257502 | + | 0.257502i | ||||
\(490\) | 5.93926e7 | + | 1.02871e8i | 0.504829 | + | 0.874390i | ||||
\(491\) | 1.91410e8 | + | 1.10511e8i | 1.61704 | + | 0.933599i | 0.987680 | + | 0.156486i | \(0.0500165\pi\) |
0.629361 | + | 0.777113i | \(0.283317\pi\) | |||||||
\(492\) | 155514. | + | 580388.i | 0.00130580 | + | 0.00487330i | ||||
\(493\) | − | 2.29777e6i | − | 0.0191763i | ||||||
\(494\) | 4.40648e7 | + | 6.08442e6i | 0.365520 | + | 0.0504706i | ||||
\(495\) | 9.54535e7 | 0.787003 | ||||||||
\(496\) | −46119.4 | + | 12357.6i | −0.000377953 | + | 0.000101272i | ||||
\(497\) | 1.12819e8 | − | 1.95408e8i | 0.918993 | − | 1.59174i | ||||
\(498\) | 3.03447e6 | − | 1.75195e6i | 0.0245695 | − | 0.0141852i | ||||
\(499\) | 1.58111e8 | + | 1.58111e8i | 1.27251 | + | 1.27251i | 0.944768 | + | 0.327739i | \(0.106287\pi\) |
0.327739 | + | 0.944768i | \(0.393713\pi\) | |||||||
\(500\) | 1.14541e7 | − | 4.27472e7i | 0.0916327 | − | 0.341978i | ||||
\(501\) | 5.61525e7 | + | 1.50460e7i | 0.446535 | + | 0.119649i | ||||
\(502\) | 2.63957e7 | − | 2.63957e7i | 0.208652 | − | 0.208652i | ||||
\(503\) | −8.01396e7 | − | 1.38806e8i | −0.629713 | − | 1.09070i | −0.987609 | − | 0.156934i | \(-0.949839\pi\) |
0.357896 | − | 0.933762i | \(-0.383494\pi\) | |||||||
\(504\) | −1.49646e8 | − | 8.63981e7i | −1.16889 | − | 0.674858i | ||||
\(505\) | 1.41113e7 | + | 5.26639e7i | 0.109570 | + | 0.408921i | ||||
\(506\) | 5.43108e7i | 0.419213i | ||||||||
\(507\) | −3.13971e7 | + | 3.06143e7i | −0.240916 | + | 0.234910i | ||||
\(508\) | −1.28615e7 | −0.0981072 | ||||||||
\(509\) | −1.30303e8 | + | 3.49146e7i | −0.988100 | + | 0.264760i | −0.716452 | − | 0.697636i | \(-0.754235\pi\) |
−0.271648 | + | 0.962397i | \(0.587568\pi\) | |||||||
\(510\) | −2.14944e7 | + | 3.72293e7i | −0.162037 | + | 0.280656i | ||||
\(511\) | −2.19499e8 | + | 1.26728e8i | −1.64501 | + | 0.949750i | ||||
\(512\) | 143600. | + | 143600.i | 0.00106990 | + | 0.00106990i | ||||
\(513\) | 1.32504e7 | − | 4.94511e7i | 0.0981469 | − | 0.366289i | ||||
\(514\) | −1.30109e8 | − | 3.48627e7i | −0.958119 | − | 0.256727i | ||||
\(515\) | 2.99235e7 | − | 2.99235e7i | 0.219074 | − | 0.219074i | ||||
\(516\) | −1.83445e7 | − | 3.17736e7i | −0.133523 | − | 0.231269i | ||||
\(517\) | −3.22940e7 | − | 1.86449e7i | −0.233695 | − | 0.134924i | ||||
\(518\) | −5.76775e7 | − | 2.15255e8i | −0.414970 | − | 1.54869i | ||||
\(519\) | 1.97388e7i | 0.141195i | ||||||||
\(520\) | −2.38489e7 | + | 1.72719e8i | −0.169613 | + | 1.22838i | ||||
\(521\) | −1.31409e8 | −0.929203 | −0.464602 | − | 0.885520i | \(-0.653802\pi\) | ||||
−0.464602 | + | 0.885520i | \(0.653802\pi\) | |||||||
\(522\) | 1.14824e6 | − | 307670.i | 0.00807274 | − | 0.00216309i | ||||
\(523\) | 1.29159e8 | − | 2.23710e8i | 0.902857 | − | 1.56379i | 0.0790898 | − | 0.996867i | \(-0.474799\pi\) |
0.823768 | − | 0.566927i | \(-0.191868\pi\) | |||||||
\(524\) | 2.93368e7 | − | 1.69376e7i | 0.203901 | − | 0.117722i | ||||
\(525\) | −2.82203e7 | − | 2.82203e7i | −0.195022 | − | 0.195022i | ||||
\(526\) | 3.09939e6 | − | 1.15671e7i | 0.0212970 | − | 0.0794816i | ||||
\(527\) | 9.19102e7 | + | 2.46273e7i | 0.627960 | + | 0.168261i | ||||
\(528\) | 18958.8 | − | 18958.8i | 0.000128798 | − | 0.000128798i | ||||
\(529\) | −7.44298e6 | − | 1.28916e7i | −0.0502782 | − | 0.0870844i | ||||
\(530\) | 1.58865e8 | + | 9.17208e7i | 1.06709 | + | 0.616084i | ||||
\(531\) | 2.08239e7 | + | 7.77157e7i | 0.139084 | + | 0.519069i | ||||
\(532\) | − | 8.46655e7i | − | 0.562305i | ||||||
\(533\) | −456242. | − | 3.64304e6i | −0.00301310 | − | 0.0240592i | ||||
\(534\) | 3.29438e7 | 0.216346 | ||||||||
\(535\) | −1.90275e8 | + | 5.09839e7i | −1.24257 | + | 0.332945i | ||||
\(536\) | −9.40262e7 | + | 1.62858e8i | −0.610597 | + | 1.05758i | ||||
\(537\) | 6.48290e7 | − | 3.74290e7i | 0.418645 | − | 0.241705i | ||||
\(538\) | −8.79704e7 | − | 8.79704e7i | −0.564924 | − | 0.564924i | ||||
\(539\) | −3.82130e7 | + | 1.42613e8i | −0.244031 | + | 0.910735i | ||||
\(540\) | 7.40623e7 | + | 1.98449e7i | 0.470344 | + | 0.126028i | ||||
\(541\) | 5.85677e7 | − | 5.85677e7i | 0.369885 | − | 0.369885i | −0.497550 | − | 0.867435i | \(-0.665767\pi\) |
0.867435 | + | 0.497550i | \(0.165767\pi\) | |||||||
\(542\) | 3.05392e7 | + | 5.28954e7i | 0.191805 | + | 0.332216i | ||||
\(543\) | −5.42563e7 | − | 3.13249e7i | −0.338883 | − | 0.195654i | ||||
\(544\) | −5.23862e7 | − | 1.95508e8i | −0.325402 | − | 1.21442i | ||||
\(545\) | − | 4.41473e7i | − | 0.272719i | ||||||
\(546\) | −4.06673e7 | − | 3.16149e7i | −0.249843 | − | 0.194229i | ||||
\(547\) | −2.34576e8 | −1.43325 | −0.716623 | − | 0.697461i | \(-0.754313\pi\) | ||||
−0.716623 | + | 0.697461i | \(0.754313\pi\) | |||||||
\(548\) | 7.29304e7 | − | 1.95417e7i | 0.443167 | − | 0.118746i | ||||
\(549\) | −2.47009e7 | + | 4.27831e7i | −0.149278 | + | 0.258557i | ||||
\(550\) | 3.42900e7 | − | 1.97974e7i | 0.206101 | − | 0.118992i | ||||
\(551\) | 1.07789e6 | + | 1.07789e6i | 0.00644348 | + | 0.00644348i | ||||
\(552\) | −1.38889e7 | + | 5.18339e7i | −0.0825751 | + | 0.308175i | ||||
\(553\) | 2.82090e8 | + | 7.55858e7i | 1.66806 | + | 0.446956i | ||||
\(554\) | 1.30298e8 | − | 1.30298e8i | 0.766320 | − | 0.766320i | ||||
\(555\) | 6.08165e7 | + | 1.05337e8i | 0.355748 | + | 0.616174i | ||||
\(556\) | 1.41463e8 | + | 8.16738e7i | 0.823036 | + | 0.475180i | ||||
\(557\) | −4.49513e7 | − | 1.67761e8i | −0.260122 | − | 0.970788i | −0.965169 | − | 0.261627i | \(-0.915741\pi\) |
0.705047 | − | 0.709160i | \(-0.250926\pi\) | |||||||
\(558\) | 4.92269e7i | 0.283335i | ||||||||
\(559\) | 8.44825e7 | + | 2.07656e8i | 0.483650 | + | 1.18880i | ||||
\(560\) | 250875. | 0.00142854 | ||||||||
\(561\) | −5.16120e7 | + | 1.38294e7i | −0.292322 | + | 0.0783275i | ||||
\(562\) | −4.18941e7 | + | 7.25626e7i | −0.236017 | + | 0.408794i | ||||
\(563\) | 9.12800e6 | − | 5.27005e6i | 0.0511505 | − | 0.0295318i | −0.474207 | − | 0.880414i | \(-0.657265\pi\) |
0.525357 | + | 0.850882i | \(0.323932\pi\) | |||||||
\(564\) | −9.95478e6 | − | 9.95478e6i | −0.0554874 | − | 0.0554874i | ||||
\(565\) | 1.49458e7 | − | 5.57784e7i | 0.0828653 | − | 0.309258i | ||||
\(566\) | −6.75948e6 | − | 1.81120e6i | −0.0372790 | − | 0.00998888i | ||||
\(567\) | 1.32092e8 | − | 1.32092e8i | 0.724647 | − | 0.724647i | ||||
\(568\) | 1.10593e8 | + | 1.91552e8i | 0.603505 | + | 1.04530i | ||||
\(569\) | 1.67525e8 | + | 9.67207e7i | 0.909376 | + | 0.525028i | 0.880230 | − | 0.474547i | \(-0.157388\pi\) |
0.0291456 | + | 0.999575i | \(0.490721\pi\) | |||||||
\(570\) | −7.38133e6 | − | 2.75475e7i | −0.0398575 | − | 0.148750i | ||||
\(571\) | − | 2.47411e6i | − | 0.0132896i | −0.999978 | − | 0.00664479i | \(-0.997885\pi\) | ||
0.999978 | − | 0.00664479i | \(-0.00211512\pi\) | |||||||
\(572\) | −6.60119e7 | + | 4.99939e7i | −0.352723 | + | 0.267134i | ||||
\(573\) | −6.34605e7 | −0.337318 | ||||||||
\(574\) | 4.16572e6 | − | 1.11620e6i | 0.0220270 | − | 0.00590211i | ||||
\(575\) | 4.85357e7 | − | 8.40664e7i | 0.255304 | − | 0.442200i | ||||
\(576\) | 9.05736e7 | − | 5.22927e7i | 0.473952 | − | 0.273636i | ||||
\(577\) | −2.77747e7 | − | 2.77747e7i | −0.144584 | − | 0.144584i | 0.631109 | − | 0.775694i | \(-0.282600\pi\) |
−0.775694 | + | 0.631109i | \(0.782600\pi\) | |||||||
\(578\) | −1.79058e7 | + | 6.68254e7i | −0.0927279 | + | 0.346065i | ||||
\(579\) | −5.78547e6 | − | 1.55021e6i | −0.0298059 | − | 0.00798648i | ||||
\(580\) | −1.61434e6 | + | 1.61434e6i | −0.00827393 | + | 0.00827393i | ||||
\(581\) | 2.03754e7 | + | 3.52912e7i | 0.103891 | + | 0.179944i | ||||
\(582\) | 4.93953e7 | + | 2.85184e7i | 0.250563 | + | 0.144663i | ||||
\(583\) | 5.90128e7 | + | 2.20239e8i | 0.297811 | + | 1.11144i | ||||
\(584\) | − | 2.48454e8i | − | 1.24741i | ||||||
\(585\) | −2.02902e8 | − | 8.55489e7i | −1.01349 | − | 0.427314i | ||||
\(586\) | 1.20367e8 | 0.598156 | ||||||||
\(587\) | 2.88532e6 | − | 773119.i | 0.0142653 | − | 0.00382236i | −0.251679 | − | 0.967811i | \(-0.580983\pi\) |
0.265945 | + | 0.963988i | \(0.414316\pi\) | |||||||
\(588\) | −2.78702e7 | + | 4.82726e7i | −0.137091 | + | 0.237448i | ||||
\(589\) | −5.46681e7 | + | 3.15627e7i | −0.267540 | + | 0.154464i | ||||
\(590\) | 6.74314e7 | + | 6.74314e7i | 0.328327 | + | 0.328327i | ||||
\(591\) | −7.62161e6 | + | 2.84442e7i | −0.0369219 | + | 0.137794i | ||||
\(592\) | −258469. | − | 69256.6i | −0.00124579 | − | 0.000333808i | ||||
\(593\) | −2.70643e8 | + | 2.70643e8i | −1.29787 | + | 1.29787i | −0.368079 | + | 0.929795i | \(0.619984\pi\) |
−0.929795 | + | 0.368079i | \(0.880016\pi\) | |||||||
\(594\) | −2.94080e7 | − | 5.09361e7i | −0.140316 | − | 0.243034i | ||||
\(595\) | −4.32980e8 | − | 2.49981e8i | −2.05550 | − | 1.18674i | ||||
\(596\) | 6.99564e6 | + | 2.61081e7i | 0.0330437 | + | 0.123321i | ||||
\(597\) | − | 1.23256e8i | − | 0.579273i | ||||||
\(598\) | 4.86754e7 | − | 1.15446e8i | 0.227618 | − | 0.539854i | ||||
\(599\) | 1.05246e6 | 0.00489697 | 0.00244848 | − | 0.999997i | \(-0.499221\pi\) | ||||
0.00244848 | + | 0.999997i | \(0.499221\pi\) | |||||||
\(600\) | 3.77889e7 | − | 1.01255e7i | 0.174949 | − | 0.0468774i | ||||
\(601\) | 6.30053e7 | − | 1.09128e8i | 0.290238 | − | 0.502706i | −0.683628 | − | 0.729831i | \(-0.739599\pi\) |
0.973866 | + | 0.227124i | \(0.0729323\pi\) | |||||||
\(602\) | −2.28054e8 | + | 1.31667e8i | −1.04532 | + | 0.603516i | ||||
\(603\) | −1.67934e8 | − | 1.67934e8i | −0.765924 | − | 0.765924i | ||||
\(604\) | 4.54108e7 | − | 1.69476e8i | 0.206086 | − | 0.769124i | ||||
\(605\) | −1.29473e8 | − | 3.46921e7i | −0.584672 | − | 0.156662i | ||||
\(606\) | 1.11648e7 | − | 1.11648e7i | 0.0501688 | − | 0.0501688i | ||||
\(607\) | −1.44340e8 | − | 2.50004e8i | −0.645387 | − | 1.11784i | −0.984212 | − | 0.176994i | \(-0.943363\pi\) |
0.338825 | − | 0.940850i | \(-0.389971\pi\) | |||||||
\(608\) | 1.16288e8 | + | 6.71389e7i | 0.517397 | + | 0.298719i | ||||
\(609\) | −456866. | − | 1.70505e6i | −0.00202272 | − | 0.00754891i | ||||
\(610\) | 5.85537e7i | 0.257967i | ||||||||
\(611\) | 5.19358e7 | + | 6.85759e7i | 0.227689 | + | 0.300641i | ||||
\(612\) | 1.57994e8 | 0.689266 | ||||||||
\(613\) | 3.95247e7 | − | 1.05906e7i | 0.171588 | − | 0.0459769i | −0.172002 | − | 0.985097i | \(-0.555024\pi\) |
0.343590 | + | 0.939120i | \(0.388357\pi\) | |||||||
\(614\) | 5.71707e7 | − | 9.90226e7i | 0.246984 | − | 0.427789i | ||||
\(615\) | −2.03854e6 | + | 1.17695e6i | −0.00876382 | + | 0.00505979i | ||||
\(616\) | −1.80004e8 | − | 1.80004e8i | −0.770089 | − | 0.770089i | ||||
\(617\) | −8.63032e7 | + | 3.22088e8i | −0.367427 | + | 1.37126i | 0.496673 | + | 0.867938i | \(0.334555\pi\) |
−0.864100 | + | 0.503319i | \(0.832112\pi\) | |||||||
\(618\) | −1.18377e7 | − | 3.17191e6i | −0.0501537 | − | 0.0134386i | ||||
\(619\) | 1.42624e8 | − | 1.42624e8i | 0.601341 | − | 0.601341i | −0.339327 | − | 0.940668i | \(-0.610199\pi\) |
0.940668 | + | 0.339327i | \(0.110199\pi\) | |||||||
\(620\) | −4.72710e7 | − | 8.18757e7i | −0.198344 | − | 0.343542i | ||||
\(621\) | −1.24876e8 | − | 7.20975e7i | −0.521442 | − | 0.301055i | ||||
\(622\) | 6.49171e7 | + | 2.42274e8i | 0.269766 | + | 1.00678i | ||||
\(623\) | 3.83139e8i | 1.58450i | ||||||||
\(624\) | −57291.6 | + | 23308.4i | −0.000235796 | + | 9.59310e-5i | ||||
\(625\) | 3.04816e8 | 1.24853 | ||||||||
\(626\) | 1.09083e7 | − | 2.92288e6i | 0.0444667 | − | 0.0119148i | ||||
\(627\) | 1.77239e7 | − | 3.06988e7i | 0.0719048 | − | 0.124543i | ||||
\(628\) | −1.31475e8 | + | 7.59071e7i | −0.530840 | + | 0.306481i | ||||
\(629\) | 3.77077e8 | + | 3.77077e8i | 1.51523 | + | 1.51523i | ||||
\(630\) | 6.69446e7 | − | 2.49841e8i | 0.267728 | − | 0.999175i | ||||
\(631\) | −2.27876e7 | − | 6.10592e6i | −0.0907006 | − | 0.0243032i | 0.213183 | − | 0.977012i | \(-0.431617\pi\) |
−0.303884 | + | 0.952709i | \(0.598284\pi\) | |||||||
\(632\) | −2.02429e8 | + | 2.02429e8i | −0.801903 | + | 0.801903i | ||||
\(633\) | 1.52327e6 | + | 2.63838e6i | 0.00600572 | + | 0.0104022i | ||||
\(634\) | −4.55472e7 | − | 2.62967e7i | −0.178729 | − | 0.103189i | ||||
\(635\) | −1.30407e7 | − | 4.86687e7i | −0.0509309 | − | 0.190077i | ||||
\(636\) | 8.60806e7i | 0.334606i | ||||||||
\(637\) | 2.09043e8 | − | 2.68898e8i | 0.808754 | − | 1.04033i | ||||
\(638\) | 1.75127e6 | 0.00674359 | ||||||||
\(639\) | −2.69819e8 | + | 7.22979e7i | −1.03412 | + | 0.277091i | ||||
\(640\) | −1.00629e8 | + | 1.74295e8i | −0.383869 | + | 0.664881i | ||||
\(641\) | 1.99071e8 | − | 1.14934e8i | 0.755849 | − | 0.436389i | −0.0719545 | − | 0.997408i | \(-0.522924\pi\) |
0.827803 | + | 0.561018i | \(0.189590\pi\) | |||||||
\(642\) | 4.03385e7 | + | 4.03385e7i | 0.152445 | + | 0.152445i | ||||
\(643\) | 7.17624e7 | − | 2.67821e8i | 0.269938 | − | 1.00742i | −0.689220 | − | 0.724552i | \(-0.742047\pi\) |
0.959158 | − | 0.282871i | \(-0.0912867\pi\) | |||||||
\(644\) | −2.30339e8 | − | 6.17192e7i | −0.862403 | − | 0.231080i | ||||
\(645\) | 1.01633e8 | − | 1.01633e8i | 0.378752 | − | 0.378752i | ||||
\(646\) | −6.25175e7 | − | 1.08284e8i | −0.231902 | − | 0.401666i | ||||
\(647\) | 1.76730e8 | + | 1.02035e8i | 0.652524 | + | 0.376735i | 0.789422 | − | 0.613850i | \(-0.210380\pi\) |
−0.136899 | + | 0.990585i | \(0.543714\pi\) | |||||||
\(648\) | 4.73949e7 | + | 1.76880e8i | 0.174183 | + | 0.650061i | ||||
\(649\) | 1.18530e8i | 0.433606i | ||||||||
\(650\) | −9.06320e7 | + | 1.13505e7i | −0.330021 | + | 0.0413308i | ||||
\(651\) | 7.30981e7 | 0.264949 | ||||||||
\(652\) | 1.79170e8 | − | 4.80085e7i | 0.646431 | − | 0.173211i | ||||
\(653\) | 8.95105e7 | − | 1.55037e8i | 0.321465 | − | 0.556795i | −0.659325 | − | 0.751858i | \(-0.729158\pi\) |
0.980791 | + | 0.195063i | \(0.0624913\pi\) | |||||||
\(654\) | −1.10722e7 | + | 6.39252e6i | −0.0395821 | + | 0.0228528i | ||||
\(655\) | 9.38385e7 | + | 9.38385e7i | 0.333931 | + | 0.333931i | ||||
\(656\) | 1340.29 | − | 5002.02i | 4.74773e−6 | − | 1.77188e-5i | ||||
\(657\) | 3.03084e8 | + | 8.12112e7i | 1.06873 | + | 0.286365i | ||||
\(658\) | −7.14503e7 | + | 7.14503e7i | −0.250799 | + | 0.250799i | ||||
\(659\) | 1.25284e8 | + | 2.16998e8i | 0.437763 | + | 0.758227i | 0.997517 | − | 0.0704316i | \(-0.0224376\pi\) |
−0.559754 | + | 0.828659i | \(0.689104\pi\) | |||||||
\(660\) | 4.59771e7 | + | 2.65449e7i | 0.159923 | + | 0.0923314i | ||||
\(661\) | −4.96236e7 | − | 1.85198e8i | −0.171824 | − | 0.641256i | −0.997071 | − | 0.0764838i | \(-0.975631\pi\) |
0.825247 | − | 0.564772i | \(-0.191036\pi\) | |||||||
\(662\) | − | 5.18772e7i | − | 0.178815i | ||||||
\(663\) | 1.22104e8 | + | 1.68600e7i | 0.418976 | + | 0.0578517i | ||||
\(664\) | −3.99466e7 | −0.136451 | ||||||||
\(665\) | 3.20379e8 | − | 8.58454e7i | 1.08943 | − | 0.291912i | ||||
\(666\) | −1.37943e8 | + | 2.38923e8i | −0.466955 | + | 0.808791i | ||||
\(667\) | 3.71825e6 | − | 2.14673e6i | 0.0125303 | − | 0.00723436i | ||||
\(668\) | −1.79064e8 | − | 1.79064e8i | −0.600730 | − | 0.600730i | ||||
\(669\) | 1.93349e7 | − | 7.21589e7i | 0.0645749 | − | 0.240997i | ||||
\(670\) | −2.71899e8 | − | 7.28552e7i | −0.904032 | − | 0.242235i | ||||
\(671\) | −5.14625e7 | + | 5.14625e7i | −0.170343 | + | 0.170343i | ||||
\(672\) | −7.77457e7 | − | 1.34660e8i | −0.256194 | − | 0.443741i | ||||
\(673\) | −3.11179e8 | − | 1.79659e8i | −1.02086 | − | 0.589392i | −0.106505 | − | 0.994312i | \(-0.533966\pi\) |
−0.914352 | + | 0.404920i | \(0.867299\pi\) | |||||||
\(674\) | −8.10289e6 | − | 3.02404e7i | −0.0264643 | − | 0.0987661i | ||||
\(675\) | 1.05124e8i | 0.341814i | ||||||||
\(676\) | 1.85125e8 | − | 4.71078e7i | 0.599274 | − | 0.152494i | ||||
\(677\) | −3.39447e8 | −1.09397 | −0.546985 | − | 0.837142i | \(-0.684225\pi\) | ||||
−0.546985 | + | 0.837142i | \(0.684225\pi\) | |||||||
\(678\) | −1.61534e7 | + | 4.32828e6i | −0.0518291 | + | 0.0138876i | ||||
\(679\) | −3.31671e8 | + | 5.74471e8i | −1.05949 | + | 1.83510i | ||||
\(680\) | 4.24436e8 | − | 2.45048e8i | 1.34985 | − | 0.779336i | ||||
\(681\) | 4.36925e7 | + | 4.36925e7i | 0.138346 | + | 0.138346i | ||||
\(682\) | −1.87699e7 | + | 7.00504e7i | −0.0591711 | + | 0.220830i | ||||
\(683\) | −4.37240e8 | − | 1.17158e8i | −1.37233 | − | 0.367714i | −0.503999 | − | 0.863704i | \(-0.668139\pi\) |
−0.868328 | + | 0.495990i | \(0.834805\pi\) | |||||||
\(684\) | −7.41156e7 | + | 7.41156e7i | −0.231602 | + | 0.231602i | ||||
\(685\) | 1.47893e8 | + | 2.56159e8i | 0.460127 | + | 0.796963i | ||||
\(686\) | 8.35384e7 | + | 4.82309e7i | 0.258770 | + | 0.149401i | ||||
\(687\) | 2.46163e7 | + | 9.18692e7i | 0.0759193 | + | 0.283335i | ||||
\(688\) | 316201.i | 0.000970952i | ||||||||
\(689\) | 7.19449e7 | − | 5.21042e8i | 0.219959 | − | 1.59300i | ||||
\(690\) | −8.03259e7 | −0.244517 | ||||||||
\(691\) | 4.02652e8 | − | 1.07890e8i | 1.22038 | − | 0.327000i | 0.409554 | − | 0.912286i | \(-0.365684\pi\) |
0.810827 | + | 0.585286i | \(0.199018\pi\) | |||||||
\(692\) | 4.29921e7 | − | 7.44645e7i | 0.129739 | − | 0.224715i | ||||
\(693\) | 2.78421e8 | − | 1.60747e8i | 0.836571 | − | 0.482994i | ||||
\(694\) | −7.03367e7 | − | 7.03367e7i | −0.210428 | − | 0.210428i | ||||
\(695\) | −1.65624e8 | + | 6.18116e8i | −0.493365 | + | 1.84126i | ||||
\(696\) | 1.67140e6 | + | 447851.i | 0.00495739 | + | 0.00132833i | ||||
\(697\) | −7.29738e6 | + | 7.29738e6i | −0.0215511 | + | 0.0215511i | ||||
\(698\) | −9.84441e7 | − | 1.70510e8i | −0.289483 | − | 0.501400i | ||||
\(699\) | −1.85022e8 | − | 1.06823e8i | −0.541741 | − | 0.312775i | ||||
\(700\) | 4.49957e7 | + | 1.67926e8i | 0.131183 | + | 0.489581i | ||||
\(701\) | − | 5.12960e8i | − | 1.48912i | −0.667556 | − | 0.744560i | \(-0.732659\pi\) | ||
0.667556 | − | 0.744560i | \(-0.267341\pi\) | |||||||
\(702\) | 1.68606e7 | + | 1.34629e8i | 0.0487372 | + | 0.389161i | ||||
\(703\) | −3.53777e8 | −1.01827 | ||||||||
\(704\) | 1.48826e8 | − | 3.98778e7i | 0.426541 | − | 0.114291i | ||||
\(705\) | 2.75760e7 | − | 4.77630e7i | 0.0786979 | − | 0.136309i | ||||
\(706\) | 5.61271e7 | − | 3.24050e7i | 0.159499 | − | 0.0920870i | ||||
\(707\) | 1.29848e8 | + | 1.29848e8i | 0.367431 | + | 0.367431i | ||||
\(708\) | −1.15819e7 | + | 4.32243e7i | −0.0326348 | + | 0.121795i | ||||
\(709\) | −5.53793e6 | − | 1.48388e6i | −0.0155385 | − | 0.00416353i | 0.251041 | − | 0.967976i | \(-0.419227\pi\) |
−0.266580 | + | 0.963813i | \(0.585894\pi\) | |||||||
\(710\) | −2.34114e8 | + | 2.34114e8i | −0.654111 | + | 0.654111i | ||||
\(711\) | −1.80772e8 | − | 3.13107e8i | −0.502948 | − | 0.871131i | ||||
\(712\) | −3.25260e8 | − | 1.87789e8i | −0.901138 | − | 0.520272i | ||||
\(713\) | 4.60169e7 | + | 1.71737e8i | 0.126955 | + | 0.473801i | ||||
\(714\) | 1.44789e8i | 0.397777i | ||||||||
\(715\) | −2.56112e8 | − | 1.99102e8i | −0.700667 | − | 0.544701i | ||||
\(716\) | −3.26090e8 | −0.888378 | ||||||||
\(717\) | −1.76448e8 | + | 4.72792e7i | −0.478697 | + | 0.128266i | ||||
\(718\) | 5.13422e7 | − | 8.89273e7i | 0.138708 | − | 0.240249i | ||||
\(719\) | 2.99105e8 | − | 1.72689e8i | 0.804707 | − | 0.464598i | −0.0404077 | − | 0.999183i | \(-0.512866\pi\) |
0.845114 | + | 0.534586i | \(0.179532\pi\) | |||||||
\(720\) | −219614. | − | 219614.i | −0.000588386 | − | 0.000588386i | ||||
\(721\) | 3.68895e7 | − | 1.37674e8i | 0.0984232 | − | 0.367320i | ||||
\(722\) | −1.44459e8 | − | 3.87076e7i | −0.383824 | − | 0.102845i | ||||
\(723\) | 2.29139e7 | − | 2.29139e7i | 0.0606296 | − | 0.0606296i | ||||
\(724\) | 1.36454e8 | + | 2.36346e8i | 0.359561 | + | 0.622777i | ||||
\(725\) | −2.71075e6 | − | 1.56505e6i | −0.00711336 | − | 0.00410690i | ||||
\(726\) | 1.00468e7 | + | 3.74952e7i | 0.0262554 | + | 0.0979865i | ||||
\(727\) | 5.82836e8i | 1.51685i | 0.651759 | + | 0.758426i | \(0.274031\pi\) | ||||
−0.651759 | + | 0.758426i | \(0.725969\pi\) | |||||||
\(728\) | 2.21302e8 | + | 5.43955e8i | 0.573575 | + | 1.40984i | ||||
\(729\) | −1.48501e8 | −0.383307 | ||||||||
\(730\) | 3.59233e8 | − | 9.62561e7i | 0.923437 | − | 0.247434i | ||||
\(731\) | 3.15075e8 | − | 5.45725e8i | 0.806605 | − | 1.39708i | ||||
\(732\) | −2.37954e7 | + | 1.37383e7i | −0.0606679 | + | 0.0350266i | ||||
\(733\) | 5.00617e8 | + | 5.00617e8i | 1.27114 | + | 1.27114i | 0.945491 | + | 0.325649i | \(0.105583\pi\) |
0.325649 | + | 0.945491i | \(0.394417\pi\) | |||||||
\(734\) | 4.63815e7 | − | 1.73098e8i | 0.117289 | − | 0.437727i | ||||
\(735\) | −2.10925e8 | − | 5.65172e7i | −0.531210 | − | 0.142337i | ||||
\(736\) | 2.67428e8 | − | 2.67428e8i | 0.670770 | − | 0.670770i | ||||
\(737\) | −1.74939e8 | − | 3.03003e8i | −0.437003 | − | 0.756911i | ||||
\(738\) | −4.62376e6 | − | 2.66953e6i | −0.0115034 | − | 0.00664149i | ||||
\(739\) | −3.66647e7 | − | 1.36834e8i | −0.0908478 | − | 0.339049i | 0.905509 | − | 0.424326i | \(-0.139489\pi\) |
−0.996357 | + | 0.0852775i | \(0.972822\pi\) | |||||||
\(740\) | − | 5.29847e8i | − | 1.30754i | ||||||
\(741\) | −6.51885e7 | + | 4.93703e7i | −0.160220 | + | 0.121342i | ||||
\(742\) | 6.17842e8 | 1.51240 | ||||||||
\(743\) | −4.36580e8 | + | 1.16981e8i | −1.06438 | + | 0.285200i | −0.748182 | − | 0.663493i | \(-0.769073\pi\) |
−0.316198 | + | 0.948693i | \(0.602407\pi\) | |||||||
\(744\) | −3.58278e7 | + | 6.20556e7i | −0.0869965 | + | 0.150682i | ||||
\(745\) | −9.17013e7 | + | 5.29438e7i | −0.221772 | + | 0.128040i | ||||
\(746\) | 1.45902e8 | + | 1.45902e8i | 0.351435 | + | 0.351435i | ||||
\(747\) | 1.30572e7 | − | 4.87301e7i | 0.0313248 | − | 0.116906i | ||||
\(748\) | 2.24827e8 | + | 6.02423e7i | 0.537210 | + | 0.143945i | ||||
\(749\) | −4.69140e8 | + | 4.69140e8i | −1.11649 | + | 1.11649i | ||||
\(750\) | −2.51042e7 | − | 4.34817e7i | −0.0595062 | − | 0.103068i | ||||
\(751\) | 1.58016e8 | + | 9.12306e7i | 0.373062 | + | 0.215388i | 0.674795 | − | 0.738005i | \(-0.264232\pi\) |
−0.301733 | + | 0.953392i | \(0.597565\pi\) | |||||||
\(752\) | 31402.9 | + | 117197.i | 7.38442e−5 | + | 0.000275590i | ||||
\(753\) | 6.86231e7i | 0.160726i | ||||||||
\(754\) | −3.72260e6 | − | 1.56955e6i | −0.00868426 | − | 0.00366152i | ||||
\(755\) | 6.87349e8 | 1.59712 | ||||||||
\(756\) | 2.49446e8 | − | 6.68389e7i | 0.577314 | − | 0.154691i | ||||
\(757\) | −3.53297e8 | + | 6.11929e8i | −0.814428 | + | 1.41063i | 0.0953102 | + | 0.995448i | \(0.469616\pi\) |
−0.909738 | + | 0.415183i | \(0.863718\pi\) | |||||||
\(758\) | 1.95019e7 | − | 1.12594e7i | 0.0447784 | − | 0.0258528i | ||||
\(759\) | −7.05981e7 | − | 7.05981e7i | −0.161461 | − | 0.161461i | ||||
\(760\) | −8.41514e7 | + | 3.14057e8i | −0.191699 | + | 0.715432i | ||||
\(761\) | −2.31789e7 | − | 6.21078e6i | −0.0525944 | − | 0.0140926i | 0.232426 | − | 0.972614i | \(-0.425334\pi\) |
−0.285020 | + | 0.958521i | \(0.592000\pi\) | |||||||
\(762\) | −1.03178e7 | + | 1.03178e7i | −0.0233197 | + | 0.0233197i | ||||
\(763\) | −7.43454e7 | − | 1.28770e8i | −0.167371 | − | 0.289895i | ||||
\(764\) | 2.39405e8 | + | 1.38220e8i | 0.536850 | + | 0.309950i | ||||
\(765\) | 1.60196e8 | + | 5.97859e8i | 0.357822 | + | 1.33541i | ||||
\(766\) | − | 5.22906e7i | − | 0.116342i | ||||||
\(767\) | 1.06231e8 | − | 2.51955e8i | 0.235432 | − | 0.558389i | ||||
\(768\) | 1.52352e8 | 0.336329 | ||||||||
\(769\) | −4.99378e8 | + | 1.33808e8i | −1.09812 | + | 0.294241i | −0.761999 | − | 0.647578i | \(-0.775782\pi\) |
−0.336122 | + | 0.941818i | \(0.609115\pi\) | |||||||
\(770\) | 1.90526e8 | − | 3.30000e8i | 0.417332 | − | 0.722840i | ||||
\(771\) | 2.14446e8 | − | 1.23810e8i | 0.467901 | − | 0.270143i | ||||
\(772\) | 1.84492e7 | + | 1.84492e7i | 0.0400983 | + | 0.0400983i | ||||
\(773\) | 1.21473e8 | − | 4.53345e8i | 0.262992 | − | 0.981501i | −0.700475 | − | 0.713676i | \(-0.747029\pi\) |
0.963468 | − | 0.267824i | \(-0.0863046\pi\) | |||||||
\(774\) | 3.14898e8 | + | 8.43766e7i | 0.679121 | + | 0.181970i | ||||
\(775\) | 9.16551e7 | − | 9.16551e7i | 0.196903 | − | 0.196903i | ||||
\(776\) | −3.25126e8 | − | 5.63136e8i | −0.695772 | − | 1.20511i | ||||
\(777\) | 3.54783e8 | + | 2.04834e8i | 0.756309 | + | 0.436655i | ||||
\(778\) | 4.85557e7 | + | 1.81212e8i | 0.103110 | + | 0.384812i | ||||
\(779\) | − | 6.84646e6i | − | 0.0144828i | ||||||
\(780\) | −7.39413e7 | − | 9.76319e7i | −0.155813 | − | 0.205735i | ||||
\(781\) | −4.11523e8 | −0.863854 | ||||||||
\(782\) | −3.40168e8 | + | 9.11477e7i | −0.711333 | + | 0.190601i | ||||
\(783\) | −2.32481e6 | + | 4.02668e6i | −0.00484285 | + | 0.00838807i | ||||
\(784\) | 416033. | − | 240197.i | 0.000863336 | − | 0.000498447i | ||||
\(785\) | −4.20544e8 | − | 4.20544e8i | −0.869365 | − | 0.869365i | ||||
\(786\) | 9.94694e6 | − | 3.71225e7i | 0.0204843 | − | 0.0764486i | ||||
\(787\) | −2.68622e8 | − | 7.19769e7i | −0.551083 | − | 0.147662i | −0.0274763 | − | 0.999622i | \(-0.508747\pi\) |
−0.523606 | + | 0.851960i | \(0.675414\pi\) | |||||||
\(788\) | 9.07055e7 | − | 9.07055e7i | 0.185377 | − | 0.185377i | ||||
\(789\) | 1.10071e7 | + | 1.90648e7i | 0.0224099 | + | 0.0388151i | ||||
\(790\) | −3.71111e8 | − | 2.14261e8i | −0.752702 | − | 0.434573i | ||||
\(791\) | −5.03382e7 | − | 1.87865e8i | −0.101711 | − | 0.379591i | ||||
\(792\) | 3.15149e8i | 0.634367i | ||||||||
\(793\) | 1.55515e8 | − | 6.32692e7i | 0.311854 | − | 0.126874i | ||||
\(794\) | −2.29204e8 | −0.457890 | ||||||||
\(795\) | −3.25734e8 | + | 8.72801e7i | −0.648278 | + | 0.173706i | ||||
\(796\) | −2.68457e8 | + | 4.64981e8i | −0.532275 | + | 0.921927i | ||||
\(797\) | −6.94980e8 | + | 4.01247e8i | −1.37277 | + | 0.792568i | −0.991276 | − | 0.131803i | \(-0.957923\pi\) |
−0.381493 | + | 0.924372i | \(0.624590\pi\) | |||||||
\(798\) | −6.79209e7 | − | 6.79209e7i | −0.133658 | − | 0.133658i | ||||
\(799\) | 6.25821e7 | − | 2.33560e8i | 0.122690 | − | 0.457886i | ||||
\(800\) | −2.66328e8 | − | 7.13623e7i | −0.520171 | − | 0.139379i | ||||
\(801\) | 3.35397e8 | − | 3.35397e8i | 0.652622 | − | 0.652622i | ||||
\(802\) | 1.70374e7 | + | 2.95097e7i | 0.0330279 | + | 0.0572060i | ||||
\(803\) | 4.00327e8 | + | 2.31129e8i | 0.773157 | + | 0.446383i | ||||
\(804\) | −3.41876e7 | − | 1.27590e8i | −0.0657809 | − | 0.245498i | ||||
\(805\) | − | 9.34197e8i | − | 1.79081i | ||||||
\(806\) | 1.02680e8 | − | 1.32081e8i | 0.196102 | − | 0.252252i | ||||
\(807\) | 2.28704e8 | 0.435163 | ||||||||
\(808\) | −1.73875e8 | + | 4.65897e7i | −0.329612 | + | 0.0883194i | ||||
\(809\) | −5.09890e7 | + | 8.83156e7i | −0.0963011 | + | 0.166798i | −0.910151 | − | 0.414277i | \(-0.864034\pi\) |
0.813850 | + | 0.581075i | \(0.197368\pi\) | |||||||
\(810\) | −2.37384e8 | + | 1.37054e8i | −0.446680 | + | 0.257891i | ||||
\(811\) | −1.91379e8 | − | 1.91379e8i | −0.358782 | − | 0.358782i | 0.504582 | − | 0.863364i | \(-0.331647\pi\) |
−0.863364 | + | 0.504582i | \(0.831647\pi\) | |||||||
\(812\) | −1.99016e6 | + | 7.42736e6i | −0.00371723 | + | 0.0138729i | ||||
\(813\) | −1.08456e8 | − | 2.90606e7i | −0.201828 | − | 0.0540796i | ||||
\(814\) | −2.87394e8 | + | 2.87394e8i | −0.532849 | + | 0.532849i | ||||
\(815\) | 3.63334e8 | + | 6.29312e8i | 0.671170 | + | 1.16250i | ||||
\(816\) | 150564. | + | 86927.9i | 0.000277108 | + | 0.000159989i | ||||
\(817\) | 1.08199e8 | + | 4.03804e8i | 0.198407 | + | 0.740465i | ||||
\(818\) | − | 2.00137e8i | − | 0.365652i | ||||||
\(819\) | −7.35896e8 | + | 9.21612e7i | −1.33957 | + | 0.167763i | ||||
\(820\) | 1.02538e7 | 0.0185971 | ||||||||
\(821\) | 5.88198e8 | − | 1.57607e8i | 1.06290 | − | 0.284804i | 0.315329 | − | 0.948982i | \(-0.397885\pi\) |
0.747574 | + | 0.664178i | \(0.231218\pi\) | |||||||
\(822\) | 4.28298e7 | − | 7.41835e7i | 0.0771136 | − | 0.133565i | ||||
\(823\) | 1.30451e8 | − | 7.53157e7i | 0.234016 | − | 0.135109i | −0.378407 | − | 0.925639i | \(-0.623528\pi\) |
0.612424 | + | 0.790530i | \(0.290195\pi\) | |||||||
\(824\) | 9.87953e7 | + | 9.87953e7i | 0.176585 | + | 0.176585i | ||||
\(825\) | −1.88389e7 | + | 7.03076e7i | −0.0335500 | + | 0.125210i | ||||
\(826\) | 3.10242e8 | + | 8.31291e7i | 0.550504 | + | 0.147507i | ||||
\(827\) | 5.54788e8 | − | 5.54788e8i | 0.980867 | − | 0.980867i | −0.0189529 | − | 0.999820i | \(-0.506033\pi\) |
0.999820 | + | 0.0189529i | \(0.00603326\pi\) | |||||||
\(828\) | 1.47609e8 | + | 2.55666e8i | 0.260029 | + | 0.450383i | ||||
\(829\) | 3.70301e8 | + | 2.13793e8i | 0.649967 | + | 0.375259i | 0.788444 | − | 0.615107i | \(-0.210887\pi\) |
−0.138477 | + | 0.990366i | \(0.544221\pi\) | |||||||
\(830\) | −1.54761e7 | − | 5.77576e7i | −0.0270662 | − | 0.101012i | ||||
\(831\) | 3.38747e8i | 0.590300i | ||||||||
\(832\) | −3.52094e8 | − | 4.86167e7i | −0.611348 | − | 0.0844142i | ||||
\(833\) | −9.57366e8 | −1.65631 | ||||||||
\(834\) | 1.79006e8 | − | 4.79645e7i | 0.308581 | − | 0.0826841i | ||||
\(835\) | 4.96030e8 | − | 8.59148e8i | 0.852017 | − | 1.47574i | ||||
\(836\) | −1.33727e8 | + | 7.72074e7i | −0.228876 | + | 0.132142i | ||||
\(837\) | −1.36149e8 | − | 1.36149e8i | −0.232187 | − | 0.232187i | ||||
\(838\) | 5.01729e7 | − | 1.87248e8i | 0.0852584 | − | 0.318189i | ||||
\(839\) | 1.03728e9 | + | 2.77939e8i | 1.75635 | + | 0.470613i | 0.985963 | − | 0.166964i | \(-0.0533962\pi\) |
0.770387 | + | 0.637576i | \(0.220063\pi\) | |||||||
\(840\) | 2.66227e8 | − | 2.66227e8i | 0.449174 | − | 0.449174i | ||||
\(841\) | 2.97342e8 | + | 5.15012e8i | 0.499884 | + | 0.865824i | ||||
\(842\) | 1.79639e8 | + | 1.03715e8i | 0.300930 | + | 0.173742i | ||||
\(843\) | −3.98658e7 | − | 1.48781e8i | −0.0665453 | − | 0.248350i | ||||
\(844\) | − | 1.32710e7i | − | 0.0220738i | ||||||
\(845\) | 3.65964e8 | + | 6.52761e8i | 0.606552 | + | 1.08189i | ||||
\(846\) | 1.25094e8 | 0.206598 | ||||||||
\(847\) | −4.36072e8 | + | 1.16845e8i | −0.717642 | + | 0.192292i | ||||
\(848\) | 370939. | − | 642485.i | 0.000608296 | − | 0.00105360i | ||||
\(849\) | 1.11409e7 | − | 6.43222e6i | 0.0182053 | − | 0.0105109i | ||||
\(850\) | 1.81545e8 | + | 1.81545e8i | 0.295616 | + | 0.295616i | ||||
\(851\) | −2.57895e8 | + | 9.62477e8i | −0.418460 | + | 1.56172i | ||||
\(852\) | −1.50070e8 | − | 4.02110e7i | −0.242647 | − | 0.0650169i | ||||
\(853\) | 4.41336e8 | − | 4.41336e8i | 0.711086 | − | 0.711086i | −0.255676 | − | 0.966763i | \(-0.582298\pi\) |
0.966763 | + | 0.255676i | \(0.0822980\pi\) | |||||||
\(854\) | 9.86062e7 | + | 1.70791e8i | 0.158318 | + | 0.274215i | ||||
\(855\) | −3.55606e8 | − | 2.05309e8i | −0.568946 | − | 0.328481i | ||||
\(856\) | −1.68329e8 | − | 6.28211e8i | −0.268372 | − | 1.00158i | ||||
\(857\) | 3.43869e8i | 0.546325i | 0.961968 | + | 0.273162i | \(0.0880696\pi\) | ||||
−0.961968 | + | 0.273162i | \(0.911930\pi\) | |||||||
\(858\) | −1.28500e7 | + | 9.30628e7i | −0.0203443 | + | 0.147338i | ||||
\(859\) | 7.87640e8 | 1.24265 | 0.621324 | − | 0.783554i | \(-0.286595\pi\) | ||||
0.621324 | + | 0.783554i | \(0.286595\pi\) | |||||||
\(860\) | −6.04772e8 | + | 1.62048e8i | −0.950816 | + | 0.254770i | ||||
\(861\) | −3.96404e6 | + | 6.86592e6i | −0.00621053 | + | 0.0107570i | ||||
\(862\) | −1.87437e7 | + | 1.08217e7i | −0.0292640 | + | 0.0168956i | ||||
\(863\) | −3.37935e8 | − | 3.37935e8i | −0.525776 | − | 0.525776i | 0.393534 | − | 0.919310i | \(-0.371252\pi\) |
−0.919310 | + | 0.393534i | \(0.871252\pi\) | |||||||
\(864\) | −1.06005e8 | + | 3.95617e8i | −0.164356 | + | 0.613385i | ||||
\(865\) | 3.25369e8 | + | 8.71825e7i | 0.502723 | + | 0.134704i | ||||
\(866\) | −3.01408e8 | + | 3.01408e8i | −0.464089 | + | 0.464089i | ||||
\(867\) | −6.35900e7 | − | 1.10141e8i | −0.0975735 | − | 0.169002i | ||||
\(868\) | −2.75762e8 | − | 1.59212e8i | −0.421673 | − | 0.243453i | ||||
\(869\) | −1.37855e8 | − | 5.14481e8i | −0.210069 | − | 0.783990i | ||||
\(870\) | 2.59014e6i | 0.00393337i | ||||||||
\(871\) | 1.00298e8 | + | 8.00869e8i | 0.151788 | + | 1.21201i | ||||
\(872\) | 1.45757e8 | 0.219826 | ||||||||
\(873\) | 7.93231e8 | − | 2.12546e8i | 1.19222 | − | 0.319455i | ||||
\(874\) | 1.16816e8 | − | 2.02332e8i | 0.174972 | − | 0.303061i | ||||
\(875\) | 5.05695e8 | − | 2.91963e8i | 0.754857 | − | 0.435817i | ||||
\(876\) | 1.23403e8 | + | 1.23403e8i | 0.183574 | + | 0.183574i | ||||
\(877\) | 3.32800e7 | − | 1.24202e8i | 0.0493383 | − | 0.184133i | −0.936859 | − | 0.349707i | \(-0.886281\pi\) |
0.986197 | + | 0.165574i | \(0.0529477\pi\) | |||||||
\(878\) | 4.42673e8 | + | 1.18614e8i | 0.654033 | + | 0.175248i | ||||
\(879\) | −1.56464e8 | + | 1.56464e8i | −0.230381 | + | 0.230381i | ||||
\(880\) | −228775. | − | 396250.i | −0.000335707 | − | 0.000581462i | ||||
\(881\) | −8.09632e8 | − | 4.67441e8i | −1.18402 | − | 0.683595i | −0.227080 | − | 0.973876i | \(-0.572918\pi\) |
−0.956942 | + | 0.290281i | \(0.906251\pi\) | |||||||
\(882\) | −1.28191e8 | − | 4.78414e8i | −0.186832 | − | 0.697266i | ||||
\(883\) | − | 1.56594e8i | − | 0.227454i | −0.993512 | − | 0.113727i | \(-0.963721\pi\) | ||
0.993512 | − | 0.113727i | \(-0.0362789\pi\) | |||||||
\(884\) | −4.23915e8 | − | 3.29553e8i | −0.613652 | − | 0.477055i | ||||
\(885\) | −1.75307e8 | −0.252912 | ||||||||
\(886\) | 2.54178e7 | − | 6.81067e6i | 0.0365457 | − | 0.00979239i | ||||
\(887\) | −1.03733e8 | + | 1.79671e8i | −0.148644 | + | 0.257458i | −0.930726 | − | 0.365716i | \(-0.880824\pi\) |
0.782083 | + | 0.623174i | \(0.214157\pi\) | |||||||
\(888\) | −3.47782e8 | + | 2.00792e8i | −0.496670 | + | 0.286753i | ||||
\(889\) | −1.19997e8 | − | 1.19997e8i | −0.170791 | − | 0.170791i | ||||
\(890\) | 1.45506e8 | − | 5.43037e8i | 0.206401 | − | 0.770300i | ||||
\(891\) | −3.29091e8 | − | 8.81798e7i | −0.465247 | − | 0.124663i | ||||
\(892\) | −2.30107e8 | + | 2.30107e8i | −0.324216 | + | 0.324216i | ||||
\(893\) | 8.02062e7 | + | 1.38921e8i | 0.112630 | + | 0.195081i | ||||
\(894\) | 2.65566e7 | + | 1.53325e7i | 0.0371673 | + | 0.0214585i | ||||
\(895\) | −3.30634e8 | − | 1.23394e9i | −0.461188 | − | 1.72118i | ||||
\(896\) | 6.77849e8i | 0.942343i | ||||||||
\(897\) | 8.67949e7 | + | 2.13340e8i | 0.120259 | + | 0.295594i | ||||
\(898\) | −7.05823e7 | −0.0974690 | ||||||||
\(899\) | 5.53773e6 | − | 1.48383e6i | 0.00762171 | − | 0.00204223i | ||||
\(900\) | 1.07613e8 | − | 1.86390e8i | 0.147617 | − | 0.255680i | ||||
\(901\) | −1.28039e9 | + | 7.39235e8i | −1.75053 | + | 1.01067i | ||||
\(902\) | −5.56178e6 | − | 5.56178e6i | −0.00757869 | − | 0.00757869i | ||||
\(903\) | 1.25293e8 | − | 4.67599e8i | 0.170162 | − | 0.635053i | ||||
\(904\) | 1.84158e8 | + | 4.93449e7i | 0.249278 | + | 0.0667940i | ||||
\(905\) | −7.55991e8 | + | 7.55991e8i | −1.01993 | + | 1.01993i | ||||
\(906\) | −9.95278e7 | − | 1.72387e8i | −0.133832 | − | 0.231804i | ||||
\(907\) | 4.21792e8 | + | 2.43521e8i | 0.565296 | + | 0.326374i | 0.755268 | − | 0.655416i | \(-0.227506\pi\) |
−0.189972 | + | 0.981789i | \(0.560840\pi\) | |||||||
\(908\) | −6.96653e7 | − | 2.59994e8i | −0.0930591 | − | 0.347301i | ||||
\(909\) | − | 2.27336e8i | − | 0.302674i | ||||||
\(910\) | −7.00752e8 | + | 5.30712e8i | −0.929908 | + | 0.704263i | ||||
\(911\) | 1.95215e7 | 0.0258202 | 0.0129101 | − | 0.999917i | \(-0.495890\pi\) | ||||
0.0129101 | + | 0.999917i | \(0.495890\pi\) | |||||||
\(912\) | −111408. | + | 29851.7i | −0.000146870 | + | 3.93536e-5i | ||||
\(913\) | 3.71610e7 | − | 6.43648e7i | 0.0488287 | − | 0.0845738i | ||||
\(914\) | 9.72456e7 | − | 5.61448e7i | 0.127359 | − | 0.0735310i | ||||
\(915\) | −7.61133e7 | − | 7.61133e7i | −0.0993567 | − | 0.0993567i | ||||
\(916\) | 1.07231e8 | − | 4.00192e8i | 0.139519 | − | 0.520693i | ||||
\(917\) | 4.31737e8 | + | 1.15684e8i | 0.559901 | + | 0.150025i | ||||
\(918\) | 2.69677e8 | − | 2.69677e8i | 0.348590 | − | 0.348590i | ||||
\(919\) | −3.88963e8 | − | 6.73704e8i | −0.501144 | − | 0.868006i | −0.999999 | − | 0.00132100i | \(-0.999580\pi\) |
0.498856 | − | 0.866685i | \(-0.333754\pi\) | |||||||
\(920\) | 7.93073e8 | + | 4.57881e8i | 1.01847 | + | 0.588016i | ||||
\(921\) | 5.44028e7 | + | 2.03034e8i | 0.0696374 | + | 0.259890i | ||||
\(922\) | − | 1.25841e8i | − | 0.160557i | ||||||
\(923\) | 8.74757e8 | + | 3.68822e8i | 1.11245 | + | 0.469042i | ||||
\(924\) | 1.78810e8 | 0.226660 | ||||||||
\(925\) | 7.01683e8 | − | 1.88016e8i | 0.886576 | − | 0.237557i | ||||
\(926\) | −2.42781e8 | + | 4.20509e8i | −0.305760 | + | 0.529593i | ||||
\(927\) | −1.52811e8 | + | 8.82257e7i | −0.191830 | + | 0.110753i | ||||
\(928\) | −8.62330e6 | − | 8.62330e6i | −0.0107902 | − | 0.0107902i | ||||
\(929\) | 7.71909e7 | − | 2.88080e8i | 0.0962762 | − | 0.359308i | −0.900934 | − | 0.433957i | \(-0.857117\pi\) |
0.997210 | + | 0.0746492i | \(0.0237837\pi\) | |||||||
\(930\) | −1.03605e8 | − | 2.77608e7i | −0.128804 | − | 0.0345131i | ||||
\(931\) | 4.49104e8 | − | 4.49104e8i | 0.556542 | − | 0.556542i | ||||
\(932\) | 4.65330e8 | + | 8.05976e8i | 0.574796 | + | 0.995576i | ||||
\(933\) | −3.99314e8 | − | 2.30544e8i | −0.491666 | − | 0.283863i | ||||
\(934\) | 4.94434e7 | + | 1.84525e8i | 0.0606830 | + | 0.226472i | ||||
\(935\) | 9.11841e8i | 1.11554i | ||||||||
\(936\) | 2.82448e8 | − | 6.69900e8i | 0.344438 | − | 0.816926i | ||||
\(937\) | −5.91150e8 | −0.718586 | −0.359293 | − | 0.933225i | \(-0.616982\pi\) | ||||
−0.359293 | + | 0.933225i | \(0.616982\pi\) | |||||||
\(938\) | −9.15774e8 | + | 2.45381e8i | −1.10963 | + | 0.297325i | ||||
\(939\) | −1.03802e7 | + | 1.79790e7i | −0.0125374 | + | 0.0217155i | ||||
\(940\) | −2.08061e8 | + | 1.20124e8i | −0.250499 | + | 0.144626i | ||||
\(941\) | −2.56138e8 | − | 2.56138e8i | −0.307401 | − | 0.307401i | 0.536500 | − | 0.843900i | \(-0.319746\pi\) |
−0.843900 | + | 0.536500i | \(0.819746\pi\) | |||||||
\(942\) | −4.45779e7 | + | 1.66367e8i | −0.0533295 | + | 0.199028i | ||||
\(943\) | −1.86263e7 | − | 4.99091e6i | −0.0222122 | − | 0.00595175i | ||||
\(944\) | 272707. | − | 272707.i | 0.000324176 | − | 0.000324176i | ||||
\(945\) | 5.05845e8 | + | 8.76149e8i | 0.599407 | + | 1.03820i | ||||
\(946\) | 4.15930e8 | + | 2.40138e8i | 0.491301 | + | 0.283653i | ||||
\(947\) | −2.81691e8 | − | 1.05128e9i | −0.331683 | − | 1.23786i | −0.907421 | − | 0.420222i | \(-0.861952\pi\) |
0.575739 | − | 0.817634i | \(-0.304715\pi\) | |||||||
\(948\) | − | 2.01086e8i | − | 0.236024i | ||||||
\(949\) | −6.43812e8 | − | 8.50089e8i | −0.753288 | − | 0.994639i | ||||
\(950\) | −1.70327e8 | −0.198661 | ||||||||
\(951\) | 9.33891e7 | − | 2.50235e7i | 0.108581 | − | 0.0290942i | ||||
\(952\) | 8.25337e8 | − | 1.42953e9i | 0.956578 | − | 1.65684i | ||||
\(953\) | −1.22342e9 | + | 7.06339e8i | −1.41350 | + | 0.816084i | −0.995716 | − | 0.0924638i | \(-0.970526\pi\) |
−0.417782 | + | 0.908547i | \(0.637192\pi\) | |||||||
\(954\) | −5.40855e8 | − | 5.40855e8i | −0.622924 | − | 0.622924i | ||||
\(955\) | −2.80293e8 | + | 1.04607e9i | −0.321812 | + | 1.20102i | ||||
\(956\) | 7.68628e8 | + | 2.05953e8i | 0.879716 | + | 0.235719i | ||||
\(957\) | −2.27646e6 | + | 2.27646e6i | −0.00259731 | + | 0.00259731i | ||||
\(958\) | 4.21119e8 | + | 7.29400e8i | 0.478970 | + | 0.829601i | ||||
\(959\) | 8.62759e8 | + | 4.98114e8i | 0.978214 | + | 0.564772i | ||||
\(960\) | 5.89795e7 | + | 2.20114e8i | 0.0666633 | + | 0.248791i | ||||
\(961\) | − | 6.50092e8i | − | 0.732495i | ||||||
\(962\) | 8.68474e8 | − | 3.53329e8i | 0.975510 | − | 0.396875i | ||||
\(963\) | 8.21363e8 | 0.919721 | ||||||||
\(964\) | −1.36351e8 | + | 3.65350e7i | −0.152204 | + | 0.0407829i | ||||
\(965\) | −5.11066e7 | + | 8.85193e7i | −0.0568716 | + | 0.0985045i | ||||
\(966\) | −2.34297e8 | + | 1.35271e8i | −0.259917 | + | 0.150063i | ||||
\(967\) | −5.20123e8 | − | 5.20123e8i | −0.575210 | − | 0.575210i | 0.358370 | − | 0.933580i | \(-0.383333\pi\) |
−0.933580 | + | 0.358370i | \(0.883333\pi\) | |||||||
\(968\) | 1.14540e8 | − | 4.27467e8i | 0.126278 | − | 0.471278i | ||||
\(969\) | 2.22023e8 | + | 5.94908e7i | 0.244020 | + | 0.0653850i | ||||
\(970\) | 6.88261e8 | − | 6.88261e8i | 0.754115 | − | 0.754115i | ||||
\(971\) | 6.26795e7 | + | 1.08564e8i | 0.0684649 | + | 0.118585i | 0.898226 | − | 0.439534i | \(-0.144857\pi\) |
−0.829761 | + | 0.558119i | \(0.811523\pi\) | |||||||
\(972\) | −4.23618e8 | − | 2.44576e8i | −0.461292 | − | 0.266327i | ||||
\(973\) | 5.57831e8 | + | 2.08185e9i | 0.605570 | + | 2.26002i | ||||
\(974\) | 4.90467e8i | 0.530802i | ||||||||
\(975\) | 1.03057e8 | − | 1.32566e8i | 0.111190 | − | 0.143027i | ||||
\(976\) | 236804. | 0.000254706 | ||||||||
\(977\) | 7.75343e8 | − | 2.07753e8i | 0.831401 | − | 0.222773i | 0.182076 | − | 0.983284i | \(-0.441718\pi\) |
0.649325 | + | 0.760511i | \(0.275052\pi\) | |||||||
\(978\) | 1.05221e8 | − | 1.82248e8i | 0.112483 | − | 0.194826i | ||||
\(979\) | 6.05158e8 | − | 3.49388e8i | 0.644942 | − | 0.372357i | ||||
\(980\) | 6.72617e8 | + | 6.72617e8i | 0.714643 | + | 0.714643i | ||||
\(981\) | −4.76429e7 | + | 1.77806e8i | −0.0504652 | + | 0.188339i | ||||
\(982\) | −1.05509e9 | − | 2.82710e8i | −1.11418 | − | 0.298543i | ||||
\(983\) | −4.58540e8 | + | 4.58540e8i | −0.482744 | + | 0.482744i | −0.906007 | − | 0.423263i | \(-0.860885\pi\) |
0.423263 | + | 0.906007i | \(0.360885\pi\) | |||||||
\(984\) | −3.88582e6 | − | 6.73044e6i | −0.00407847 | − | 0.00706412i | ||||
\(985\) | 4.35205e8 | + | 2.51265e8i | 0.455391 | + | 0.262920i | ||||
\(986\) | 2.93909e6 | + | 1.09688e7i | 0.00306607 | + | 0.0114427i | ||||
\(987\) | − | 1.85755e8i | − | 0.193192i | ||||||
\(988\) | 3.53455e8 | − | 4.42655e7i | 0.366491 | − | 0.0458981i | ||||
\(989\) | 1.17746e9 | 1.21718 | ||||||||
\(990\) | −4.55665e8 | + | 1.22095e8i | −0.469613 | + | 0.125832i | ||||
\(991\) | −6.28778e8 | + | 1.08908e9i | −0.646065 | + | 1.11902i | 0.337989 | + | 0.941150i | \(0.390253\pi\) |
−0.984054 | + | 0.177868i | \(0.943080\pi\) | |||||||
\(992\) | 4.37354e8 | − | 2.52506e8i | 0.448020 | − | 0.258665i | ||||
\(993\) | 6.74347e7 | + | 6.74347e7i | 0.0688709 | + | 0.0688709i | ||||
\(994\) | −2.88614e8 | + | 1.07712e9i | −0.293872 | + | 1.09675i | ||||
\(995\) | −2.03171e9 | − | 5.44396e8i | −2.06250 | − | 0.552645i | ||||
\(996\) | 1.98407e7 | − | 1.98407e7i | 0.0200807 | − | 0.0200807i | ||||
\(997\) | −4.46374e8 | − | 7.73142e8i | −0.450415 | − | 0.780142i | 0.547997 | − | 0.836481i | \(-0.315391\pi\) |
−0.998412 | + | 0.0563386i | \(0.982057\pi\) | |||||||
\(998\) | −9.57012e8 | − | 5.52531e8i | −0.962777 | − | 0.555860i | ||||
\(999\) | −2.79288e8 | − | 1.04232e9i | −0.280127 | − | 1.04545i |
(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 | 13.7.f.a.7.3 | yes | 24 | |
13.2 | odd | 12 | inner | 13.7.f.a.2.3 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
13.7.f.a.2.3 | ✓ | 24 | 13.2 | odd | 12 | inner | |
13.7.f.a.7.3 | yes | 24 | 1.1 | even | 1 | trivial |