Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(157,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 8, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.157");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.n (of order \(5\), 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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 196.6 | ||
Character | \(\chi\) | \(=\) | 429.196 |
Dual form | 429.2.n.c.313.6 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{5}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.589929 | − | 1.81561i | 0.417143 | − | 1.28383i | −0.493177 | − | 0.869929i | \(-0.664165\pi\) |
0.910320 | − | 0.413905i | \(-0.135835\pi\) | |||||||
\(3\) | 0.809017 | − | 0.587785i | 0.467086 | − | 0.339358i | ||||
\(4\) | −1.33041 | − | 0.966597i | −0.665203 | − | 0.483298i | ||||
\(5\) | 0.697262 | + | 2.14595i | 0.311825 | + | 0.959699i | 0.977042 | + | 0.213048i | \(0.0683392\pi\) |
−0.665217 | + | 0.746650i | \(0.731661\pi\) | |||||||
\(6\) | −0.589929 | − | 1.81561i | −0.240837 | − | 0.741222i | ||||
\(7\) | 2.71045 | + | 1.96926i | 1.02446 | + | 0.744310i | 0.967191 | − | 0.254049i | \(-0.0817623\pi\) |
0.0572640 | + | 0.998359i | \(0.481762\pi\) | |||||||
\(8\) | 0.549095 | − | 0.398941i | 0.194134 | − | 0.141047i | ||||
\(9\) | 0.309017 | − | 0.951057i | 0.103006 | − | 0.317019i | ||||
\(10\) | 4.30756 | 1.36217 | ||||||||
\(11\) | −0.0739951 | + | 3.31580i | −0.0223104 | + | 0.999751i | ||||
\(12\) | −1.64447 | −0.474718 | ||||||||
\(13\) | 0.309017 | − | 0.951057i | 0.0857059 | − | 0.263776i | ||||
\(14\) | 5.17439 | − | 3.75942i | 1.38291 | − | 1.00475i | ||||
\(15\) | 1.82546 | + | 1.32627i | 0.471331 | + | 0.342442i | ||||
\(16\) | −1.41674 | − | 4.36027i | −0.354184 | − | 1.09007i | ||||
\(17\) | −0.677665 | − | 2.08564i | −0.164358 | − | 0.505841i | 0.834631 | − | 0.550810i | \(-0.185681\pi\) |
−0.998988 | + | 0.0449687i | \(0.985681\pi\) | |||||||
\(18\) | −1.54445 | − | 1.12211i | −0.364031 | − | 0.264484i | ||||
\(19\) | −4.13138 | + | 3.00163i | −0.947805 | + | 0.688620i | −0.950287 | − | 0.311376i | \(-0.899210\pi\) |
0.00248193 | + | 0.999997i | \(0.499210\pi\) | |||||||
\(20\) | 1.14663 | − | 3.52896i | 0.256394 | − | 0.789099i | ||||
\(21\) | 3.35031 | 0.731097 | ||||||||
\(22\) | 5.97656 | + | 2.09043i | 1.27421 | + | 0.445682i | ||||
\(23\) | −3.28630 | −0.685241 | −0.342620 | − | 0.939474i | \(-0.611314\pi\) | ||||
−0.342620 | + | 0.939474i | \(0.611314\pi\) | |||||||
\(24\) | 0.209736 | − | 0.645500i | 0.0428121 | − | 0.131762i | ||||
\(25\) | −0.0738492 | + | 0.0536546i | −0.0147698 | + | 0.0107309i | ||||
\(26\) | −1.54445 | − | 1.12211i | −0.302892 | − | 0.220064i | ||||
\(27\) | −0.309017 | − | 0.951057i | −0.0594703 | − | 0.183031i | ||||
\(28\) | −1.70253 | − | 5.23983i | −0.321747 | − | 0.990236i | ||||
\(29\) | −7.15549 | − | 5.19877i | −1.32874 | − | 0.965387i | −0.999779 | − | 0.0210442i | \(-0.993301\pi\) |
−0.328963 | − | 0.944343i | \(-0.606699\pi\) | |||||||
\(30\) | 3.48489 | − | 2.53192i | 0.636250 | − | 0.462263i | ||||
\(31\) | 1.91009 | − | 5.87866i | 0.343063 | − | 1.05584i | −0.619550 | − | 0.784957i | \(-0.712685\pi\) |
0.962613 | − | 0.270881i | \(-0.0873151\pi\) | |||||||
\(32\) | −7.39490 | −1.30725 | ||||||||
\(33\) | 1.88911 | + | 2.72603i | 0.328853 | + | 0.474541i | ||||
\(34\) | −4.18649 | −0.717977 | ||||||||
\(35\) | −2.33604 | + | 7.18959i | −0.394863 | + | 1.21526i | ||||
\(36\) | −1.33041 | + | 0.966597i | −0.221734 | + | 0.161099i | ||||
\(37\) | −0.639581 | − | 0.464682i | −0.105146 | − | 0.0763933i | 0.533970 | − | 0.845504i | \(-0.320700\pi\) |
−0.639116 | + | 0.769110i | \(0.720700\pi\) | |||||||
\(38\) | 3.01257 | + | 9.27175i | 0.488704 | + | 1.50408i | ||||
\(39\) | −0.309017 | − | 0.951057i | −0.0494823 | − | 0.152291i | ||||
\(40\) | 1.23897 | + | 0.900165i | 0.195899 | + | 0.142329i | ||||
\(41\) | −8.59274 | + | 6.24299i | −1.34196 | + | 0.974992i | −0.342592 | + | 0.939484i | \(0.611305\pi\) |
−0.999369 | + | 0.0355075i | \(0.988695\pi\) | |||||||
\(42\) | 1.97644 | − | 6.08286i | 0.304972 | − | 0.938606i | ||||
\(43\) | 4.63257 | 0.706460 | 0.353230 | − | 0.935537i | \(-0.385083\pi\) | ||||
0.353230 | + | 0.935537i | \(0.385083\pi\) | |||||||
\(44\) | 3.30349 | − | 4.33984i | 0.498019 | − | 0.654255i | ||||
\(45\) | 2.25639 | 0.336362 | ||||||||
\(46\) | −1.93868 | + | 5.96665i | −0.285843 | + | 0.879735i | ||||
\(47\) | −1.35393 | + | 0.983689i | −0.197491 | + | 0.143486i | −0.682136 | − | 0.731225i | \(-0.738949\pi\) |
0.484645 | + | 0.874711i | \(0.338949\pi\) | |||||||
\(48\) | −3.70906 | − | 2.69479i | −0.535357 | − | 0.388960i | ||||
\(49\) | 1.30546 | + | 4.01779i | 0.186494 | + | 0.573969i | ||||
\(50\) | 0.0538503 | + | 0.165734i | 0.00761558 | + | 0.0234383i | ||||
\(51\) | −1.77415 | − | 1.28900i | −0.248431 | − | 0.180495i | ||||
\(52\) | −1.33041 | + | 0.966597i | −0.184494 | + | 0.134043i | ||||
\(53\) | 2.06311 | − | 6.34959i | 0.283389 | − | 0.872183i | −0.703487 | − | 0.710708i | \(-0.748375\pi\) |
0.986877 | − | 0.161475i | \(-0.0516252\pi\) | |||||||
\(54\) | −1.90905 | −0.259789 | ||||||||
\(55\) | −7.16714 | + | 2.15319i | −0.966417 | + | 0.290336i | ||||
\(56\) | 2.27392 | 0.303865 | ||||||||
\(57\) | −1.57805 | + | 4.85673i | −0.209018 | + | 0.643290i | ||||
\(58\) | −13.6602 | + | 9.92471i | −1.79367 | + | 1.30318i | ||||
\(59\) | −6.30958 | − | 4.58418i | −0.821437 | − | 0.596809i | 0.0956869 | − | 0.995411i | \(-0.469495\pi\) |
−0.917124 | + | 0.398603i | \(0.869495\pi\) | |||||||
\(60\) | −1.14663 | − | 3.52896i | −0.148029 | − | 0.455587i | ||||
\(61\) | −0.173717 | − | 0.534645i | −0.0222421 | − | 0.0684543i | 0.939319 | − | 0.343044i | \(-0.111458\pi\) |
−0.961561 | + | 0.274590i | \(0.911458\pi\) | |||||||
\(62\) | −9.54656 | − | 6.93599i | −1.21241 | − | 0.880871i | ||||
\(63\) | 2.71045 | − | 1.96926i | 0.341485 | − | 0.248103i | ||||
\(64\) | −1.52899 | + | 4.70576i | −0.191124 | + | 0.588219i | ||||
\(65\) | 2.25639 | 0.279870 | ||||||||
\(66\) | 6.06387 | − | 1.82174i | 0.746410 | − | 0.224241i | ||||
\(67\) | 10.9122 | 1.33313 | 0.666566 | − | 0.745446i | \(-0.267764\pi\) | ||||
0.666566 | + | 0.745446i | \(0.267764\pi\) | |||||||
\(68\) | −1.11440 | + | 3.42978i | −0.135141 | + | 0.415921i | ||||
\(69\) | −2.65867 | + | 1.93164i | −0.320067 | + | 0.232542i | ||||
\(70\) | 11.6754 | + | 8.48270i | 1.39548 | + | 1.01388i | ||||
\(71\) | 2.27168 | + | 6.99150i | 0.269599 | + | 0.829739i | 0.990598 | + | 0.136804i | \(0.0436829\pi\) |
−0.721000 | + | 0.692935i | \(0.756317\pi\) | |||||||
\(72\) | −0.209736 | − | 0.645500i | −0.0247176 | − | 0.0760729i | ||||
\(73\) | 5.38726 | + | 3.91407i | 0.630531 | + | 0.458108i | 0.856584 | − | 0.516007i | \(-0.172582\pi\) |
−0.226053 | + | 0.974115i | \(0.572582\pi\) | |||||||
\(74\) | −1.22099 | + | 0.887102i | −0.141937 | + | 0.103124i | ||||
\(75\) | −0.0282079 | + | 0.0868149i | −0.00325717 | + | 0.0100245i | ||||
\(76\) | 8.39779 | 0.963292 | ||||||||
\(77\) | −6.73023 | + | 8.84161i | −0.766981 | + | 1.00759i | ||||
\(78\) | −1.90905 | −0.216157 | ||||||||
\(79\) | −0.600520 | + | 1.84821i | −0.0675638 | + | 0.207940i | −0.979138 | − | 0.203195i | \(-0.934867\pi\) |
0.911575 | + | 0.411135i | \(0.134867\pi\) | |||||||
\(80\) | 8.36908 | − | 6.08049i | 0.935692 | − | 0.679820i | ||||
\(81\) | −0.809017 | − | 0.587785i | −0.0898908 | − | 0.0653095i | ||||
\(82\) | 6.26576 | + | 19.2840i | 0.691938 | + | 2.12957i | ||||
\(83\) | −5.05365 | − | 15.5535i | −0.554710 | − | 1.70722i | −0.696709 | − | 0.717354i | \(-0.745353\pi\) |
0.141999 | − | 0.989867i | \(-0.454647\pi\) | |||||||
\(84\) | −4.45727 | − | 3.23840i | −0.486328 | − | 0.353338i | ||||
\(85\) | 4.00317 | − | 2.90847i | 0.434205 | − | 0.315468i | ||||
\(86\) | 2.73288 | − | 8.41095i | 0.294695 | − | 0.906976i | ||||
\(87\) | −8.84467 | −0.948249 | ||||||||
\(88\) | 1.28218 | + | 1.85021i | 0.136681 | + | 0.197233i | ||||
\(89\) | 13.3074 | 1.41058 | 0.705289 | − | 0.708920i | \(-0.250817\pi\) | ||||
0.705289 | + | 0.708920i | \(0.250817\pi\) | |||||||
\(90\) | 1.33111 | − | 4.09673i | 0.140311 | − | 0.431833i | ||||
\(91\) | 2.71045 | − | 1.96926i | 0.284133 | − | 0.206435i | ||||
\(92\) | 4.37212 | + | 3.17653i | 0.455825 | + | 0.331176i | ||||
\(93\) | −1.91009 | − | 5.87866i | −0.198067 | − | 0.609589i | ||||
\(94\) | 0.987276 | + | 3.03852i | 0.101830 | + | 0.313400i | ||||
\(95\) | −9.32200 | − | 6.77283i | −0.956417 | − | 0.694878i | ||||
\(96\) | −5.98260 | + | 4.34661i | −0.610596 | + | 0.443624i | ||||
\(97\) | −0.678399 | + | 2.08790i | −0.0688809 | + | 0.211994i | −0.979572 | − | 0.201095i | \(-0.935550\pi\) |
0.910691 | + | 0.413089i | \(0.135550\pi\) | |||||||
\(98\) | 8.06488 | 0.814676 | ||||||||
\(99\) | 3.13065 | + | 1.09501i | 0.314642 | + | 0.110053i | ||||
\(100\) | 0.150112 | 0.0150112 | ||||||||
\(101\) | −2.51095 | + | 7.72790i | −0.249848 | + | 0.768954i | 0.744953 | + | 0.667117i | \(0.232472\pi\) |
−0.994801 | + | 0.101837i | \(0.967528\pi\) | |||||||
\(102\) | −3.38694 | + | 2.46076i | −0.335357 | + | 0.243651i | ||||
\(103\) | 6.46708 | + | 4.69861i | 0.637220 | + | 0.462967i | 0.858894 | − | 0.512153i | \(-0.171152\pi\) |
−0.221674 | + | 0.975121i | \(0.571152\pi\) | |||||||
\(104\) | −0.209736 | − | 0.645500i | −0.0205663 | − | 0.0632965i | ||||
\(105\) | 2.33604 | + | 7.18959i | 0.227974 | + | 0.701633i | ||||
\(106\) | −10.3113 | − | 7.49161i | −1.00152 | − | 0.727650i | ||||
\(107\) | 14.2689 | − | 10.3669i | 1.37942 | − | 1.00221i | 0.382490 | − | 0.923960i | \(-0.375067\pi\) |
0.996934 | − | 0.0782503i | \(-0.0249333\pi\) | |||||||
\(108\) | −0.508170 | + | 1.56399i | −0.0488987 | + | 0.150495i | ||||
\(109\) | 0.666726 | 0.0638608 | 0.0319304 | − | 0.999490i | \(-0.489835\pi\) | ||||
0.0319304 | + | 0.999490i | \(0.489835\pi\) | |||||||
\(110\) | −0.318738 | + | 14.2830i | −0.0303905 | + | 1.36183i | ||||
\(111\) | −0.790565 | −0.0750371 | ||||||||
\(112\) | 4.74650 | − | 14.6082i | 0.448502 | − | 1.38035i | ||||
\(113\) | −11.9722 | + | 8.69832i | −1.12625 | + | 0.818269i | −0.985145 | − | 0.171725i | \(-0.945066\pi\) |
−0.141106 | + | 0.989994i | \(0.545066\pi\) | |||||||
\(114\) | 7.88702 | + | 5.73026i | 0.738687 | + | 0.536688i | ||||
\(115\) | −2.29141 | − | 7.05224i | −0.213675 | − | 0.657625i | ||||
\(116\) | 4.49460 | + | 13.8330i | 0.417313 | + | 1.28436i | ||||
\(117\) | −0.809017 | − | 0.587785i | −0.0747936 | − | 0.0543408i | ||||
\(118\) | −12.0453 | + | 8.75142i | −1.10886 | + | 0.805634i | ||||
\(119\) | 2.27038 | − | 6.98752i | 0.208126 | − | 0.640545i | ||||
\(120\) | 1.53145 | 0.139802 | ||||||||
\(121\) | −10.9890 | − | 0.490706i | −0.999004 | − | 0.0446096i | ||||
\(122\) | −1.07319 | −0.0971621 | ||||||||
\(123\) | −3.28214 | + | 10.1014i | −0.295940 | + | 0.910810i | ||||
\(124\) | −8.22350 | + | 5.97472i | −0.738492 | + | 0.536546i | ||||
\(125\) | 8.96065 | + | 6.51029i | 0.801464 | + | 0.582298i | ||||
\(126\) | −1.97644 | − | 6.08286i | −0.176076 | − | 0.541905i | ||||
\(127\) | 4.89761 | + | 15.0733i | 0.434593 | + | 1.33754i | 0.893503 | + | 0.449056i | \(0.148240\pi\) |
−0.458911 | + | 0.888482i | \(0.651760\pi\) | |||||||
\(128\) | −4.32336 | − | 3.14110i | −0.382134 | − | 0.277637i | ||||
\(129\) | 3.74782 | − | 2.72295i | 0.329978 | − | 0.239743i | ||||
\(130\) | 1.33111 | − | 4.09673i | 0.116746 | − | 0.359307i | ||||
\(131\) | −1.69736 | −0.148299 | −0.0741494 | − | 0.997247i | \(-0.523624\pi\) | ||||
−0.0741494 | + | 0.997247i | \(0.523624\pi\) | |||||||
\(132\) | 0.121683 | − | 5.45274i | 0.0105911 | − | 0.474600i | ||||
\(133\) | −17.1089 | −1.48353 | ||||||||
\(134\) | 6.43740 | − | 19.8123i | 0.556106 | − | 1.71152i | ||||
\(135\) | 1.82546 | − | 1.32627i | 0.157110 | − | 0.114147i | ||||
\(136\) | −1.20415 | − | 0.874865i | −0.103255 | − | 0.0750191i | ||||
\(137\) | 6.45436 | + | 19.8645i | 0.551433 | + | 1.69714i | 0.705182 | + | 0.709026i | \(0.250865\pi\) |
−0.153749 | + | 0.988110i | \(0.549135\pi\) | |||||||
\(138\) | 1.93868 | + | 5.96665i | 0.165032 | + | 0.507915i | ||||
\(139\) | −9.47201 | − | 6.88182i | −0.803405 | − | 0.583708i | 0.108506 | − | 0.994096i | \(-0.465393\pi\) |
−0.911911 | + | 0.410388i | \(0.865393\pi\) | |||||||
\(140\) | 10.0573 | − | 7.30707i | 0.849999 | − | 0.617560i | ||||
\(141\) | −0.517156 | + | 1.59164i | −0.0435524 | + | 0.134040i | ||||
\(142\) | 14.0340 | 1.17771 | ||||||||
\(143\) | 3.13065 | + | 1.09501i | 0.261798 | + | 0.0915695i | ||||
\(144\) | −4.58465 | −0.382055 | ||||||||
\(145\) | 6.16705 | − | 18.9802i | 0.512146 | − | 1.57622i | ||||
\(146\) | 10.2846 | − | 7.47217i | 0.851156 | − | 0.618401i | ||||
\(147\) | 3.41773 | + | 2.48313i | 0.281890 | + | 0.204805i | ||||
\(148\) | 0.401742 | + | 1.23643i | 0.0330230 | + | 0.101634i | ||||
\(149\) | −2.52828 | − | 7.78124i | −0.207125 | − | 0.637464i | −0.999619 | − | 0.0275852i | \(-0.991218\pi\) |
0.792495 | − | 0.609878i | \(-0.208782\pi\) | |||||||
\(150\) | 0.140982 | + | 0.102429i | 0.0115111 | + | 0.00836332i | ||||
\(151\) | −0.516230 | + | 0.375063i | −0.0420102 | + | 0.0305222i | −0.608592 | − | 0.793483i | \(-0.708265\pi\) |
0.566582 | + | 0.824005i | \(0.308265\pi\) | |||||||
\(152\) | −1.07105 | + | 3.29636i | −0.0868737 | + | 0.267370i | ||||
\(153\) | −2.19297 | −0.177291 | ||||||||
\(154\) | 12.0826 | + | 17.4354i | 0.973643 | + | 1.40499i | ||||
\(155\) | 13.9472 | 1.12026 | ||||||||
\(156\) | −0.508170 | + | 1.56399i | −0.0406862 | + | 0.125219i | ||||
\(157\) | −15.9806 | + | 11.6106i | −1.27539 | + | 0.926623i | −0.999403 | − | 0.0345395i | \(-0.989004\pi\) |
−0.275984 | + | 0.961162i | \(0.589004\pi\) | |||||||
\(158\) | 3.00137 | + | 2.18063i | 0.238777 | + | 0.173481i | ||||
\(159\) | −2.06311 | − | 6.34959i | −0.163615 | − | 0.503555i | ||||
\(160\) | −5.15618 | − | 15.8691i | −0.407632 | − | 1.25456i | ||||
\(161\) | −8.90737 | − | 6.47158i | −0.701999 | − | 0.510032i | ||||
\(162\) | −1.54445 | + | 1.12211i | −0.121344 | + | 0.0881614i | ||||
\(163\) | 0.490031 | − | 1.50816i | 0.0383822 | − | 0.118128i | −0.930030 | − | 0.367485i | \(-0.880219\pi\) |
0.968412 | + | 0.249356i | \(0.0802190\pi\) | |||||||
\(164\) | 17.4663 | 1.36389 | ||||||||
\(165\) | −4.53272 | + | 5.95471i | −0.352872 | + | 0.463573i | ||||
\(166\) | −31.2205 | −2.42318 | ||||||||
\(167\) | −6.37937 | + | 19.6337i | −0.493651 | + | 1.51930i | 0.325398 | + | 0.945577i | \(0.394502\pi\) |
−0.819049 | + | 0.573724i | \(0.805498\pi\) | |||||||
\(168\) | 1.83964 | − | 1.33657i | 0.141931 | − | 0.103119i | ||||
\(169\) | −0.809017 | − | 0.587785i | −0.0622321 | − | 0.0452143i | ||||
\(170\) | −2.91908 | − | 8.98400i | −0.223883 | − | 0.689042i | ||||
\(171\) | 1.57805 | + | 4.85673i | 0.120676 | + | 0.371404i | ||||
\(172\) | −6.16320 | − | 4.47782i | −0.469939 | − | 0.341431i | ||||
\(173\) | −12.3605 | + | 8.98045i | −0.939753 | + | 0.682771i | −0.948361 | − | 0.317192i | \(-0.897260\pi\) |
0.00860798 | + | 0.999963i | \(0.497260\pi\) | |||||||
\(174\) | −5.21773 | + | 16.0585i | −0.395555 | + | 1.21739i | ||||
\(175\) | −0.305825 | −0.0231182 | ||||||||
\(176\) | 14.5626 | − | 4.37497i | 1.09770 | − | 0.329776i | ||||
\(177\) | −7.79906 | −0.586214 | ||||||||
\(178\) | 7.85040 | − | 24.1611i | 0.588412 | − | 1.81095i | ||||
\(179\) | 5.42655 | − | 3.94262i | 0.405599 | − | 0.294685i | −0.366219 | − | 0.930529i | \(-0.619348\pi\) |
0.771818 | + | 0.635844i | \(0.219348\pi\) | |||||||
\(180\) | −3.00191 | − | 2.18102i | −0.223749 | − | 0.162563i | ||||
\(181\) | 6.23740 | + | 19.1967i | 0.463622 | + | 1.42688i | 0.860707 | + | 0.509100i | \(0.170022\pi\) |
−0.397085 | + | 0.917782i | \(0.629978\pi\) | |||||||
\(182\) | −1.97644 | − | 6.08286i | −0.146504 | − | 0.450892i | ||||
\(183\) | −0.454796 | − | 0.330429i | −0.0336195 | − | 0.0244260i | ||||
\(184\) | −1.80449 | + | 1.31104i | −0.133029 | + | 0.0966511i | ||||
\(185\) | 0.551231 | − | 1.69651i | 0.0405273 | − | 0.124730i | ||||
\(186\) | −11.8002 | −0.865233 | ||||||||
\(187\) | 6.96570 | − | 2.09267i | 0.509382 | − | 0.153031i | ||||
\(188\) | 2.75211 | 0.200718 | ||||||||
\(189\) | 1.03530 | − | 3.18633i | 0.0753071 | − | 0.231771i | ||||
\(190\) | −17.7962 | + | 12.9297i | −1.29107 | + | 0.938017i | ||||
\(191\) | 2.00364 | + | 1.45573i | 0.144978 | + | 0.105333i | 0.657910 | − | 0.753097i | \(-0.271441\pi\) |
−0.512932 | + | 0.858429i | \(0.671441\pi\) | |||||||
\(192\) | 1.52899 | + | 4.70576i | 0.110346 | + | 0.339609i | ||||
\(193\) | −3.82016 | − | 11.7572i | −0.274981 | − | 0.846304i | −0.989224 | − | 0.146407i | \(-0.953229\pi\) |
0.714244 | − | 0.699897i | \(-0.246771\pi\) | |||||||
\(194\) | 3.39061 | + | 2.46342i | 0.243431 | + | 0.176863i | ||||
\(195\) | 1.82546 | − | 1.32627i | 0.130724 | − | 0.0949762i | ||||
\(196\) | 2.14679 | − | 6.60714i | 0.153342 | − | 0.471939i | ||||
\(197\) | −11.1164 | −0.792010 | −0.396005 | − | 0.918248i | \(-0.629604\pi\) | ||||
−0.396005 | + | 0.918248i | \(0.629604\pi\) | |||||||
\(198\) | 3.83498 | − | 5.03807i | 0.272540 | − | 0.358040i | ||||
\(199\) | 3.81232 | 0.270249 | 0.135124 | − | 0.990829i | \(-0.456857\pi\) | ||||
0.135124 | + | 0.990829i | \(0.456857\pi\) | |||||||
\(200\) | −0.0191452 | + | 0.0589229i | −0.00135377 | + | 0.00416648i | ||||
\(201\) | 8.82812 | − | 6.41400i | 0.622687 | − | 0.452409i | ||||
\(202\) | 12.5496 | + | 9.11782i | 0.882987 | + | 0.641528i | ||||
\(203\) | −9.15690 | − | 28.1821i | −0.642689 | − | 1.97799i | ||||
\(204\) | 1.11440 | + | 3.42978i | 0.0780237 | + | 0.240132i | ||||
\(205\) | −19.3886 | − | 14.0866i | −1.35416 | − | 0.983852i | ||||
\(206\) | 12.3460 | − | 8.96987i | 0.860185 | − | 0.624961i | ||||
\(207\) | −1.01552 | + | 3.12546i | −0.0705837 | + | 0.217234i | ||||
\(208\) | −4.58465 | −0.317889 | ||||||||
\(209\) | −9.64709 | − | 13.9209i | −0.667303 | − | 0.962932i | ||||
\(210\) | 14.4316 | 0.995877 | ||||||||
\(211\) | 3.76116 | − | 11.5757i | 0.258929 | − | 0.796902i | −0.734101 | − | 0.679040i | \(-0.762396\pi\) |
0.993030 | − | 0.117862i | \(-0.0376039\pi\) | |||||||
\(212\) | −8.88226 | + | 6.45334i | −0.610036 | + | 0.443217i | ||||
\(213\) | 5.94733 | + | 4.32099i | 0.407504 | + | 0.296069i | ||||
\(214\) | −10.4048 | − | 32.0225i | −0.711254 | − | 2.18901i | ||||
\(215\) | 3.23011 | + | 9.94126i | 0.220292 | + | 0.677988i | ||||
\(216\) | −0.549095 | − | 0.398941i | −0.0373612 | − | 0.0271445i | ||||
\(217\) | 16.7538 | − | 12.1724i | 1.13732 | − | 0.826315i | ||||
\(218\) | 0.393321 | − | 1.21052i | 0.0266391 | − | 0.0819866i | ||||
\(219\) | 6.65902 | 0.449975 | ||||||||
\(220\) | 11.6165 | + | 4.06312i | 0.783183 | + | 0.273935i | ||||
\(221\) | −2.19297 | −0.147515 | ||||||||
\(222\) | −0.466377 | + | 1.43536i | −0.0313012 | + | 0.0963352i | ||||
\(223\) | 22.0807 | − | 16.0426i | 1.47863 | − | 1.07429i | 0.500639 | − | 0.865656i | \(-0.333098\pi\) |
0.977994 | − | 0.208634i | \(-0.0669016\pi\) | |||||||
\(224\) | −20.0435 | − | 14.5625i | −1.33922 | − | 0.972997i | ||||
\(225\) | 0.0282079 | + | 0.0868149i | 0.00188053 | + | 0.00578766i | ||||
\(226\) | 8.73005 | + | 26.8683i | 0.580714 | + | 1.78725i | ||||
\(227\) | 8.00426 | + | 5.81544i | 0.531262 | + | 0.385984i | 0.820829 | − | 0.571173i | \(-0.193512\pi\) |
−0.289568 | + | 0.957157i | \(0.593512\pi\) | |||||||
\(228\) | 6.79395 | − | 4.93609i | 0.449940 | − | 0.326901i | ||||
\(229\) | 4.93224 | − | 15.1799i | 0.325932 | − | 1.00311i | −0.645087 | − | 0.764109i | \(-0.723179\pi\) |
0.971018 | − | 0.239005i | \(-0.0768212\pi\) | |||||||
\(230\) | −14.1559 | −0.933414 | ||||||||
\(231\) | −0.247906 | + | 11.1089i | −0.0163110 | + | 0.730915i | ||||
\(232\) | −6.00305 | −0.394119 | ||||||||
\(233\) | 2.11808 | − | 6.51877i | 0.138760 | − | 0.427059i | −0.857396 | − | 0.514657i | \(-0.827919\pi\) |
0.996156 | + | 0.0875982i | \(0.0279192\pi\) | |||||||
\(234\) | −1.54445 | + | 1.12211i | −0.100964 | + | 0.0733547i | ||||
\(235\) | −3.05499 | − | 2.21958i | −0.199286 | − | 0.144790i | ||||
\(236\) | 3.96325 | + | 12.1976i | 0.257986 | + | 0.793998i | ||||
\(237\) | 0.600520 | + | 1.84821i | 0.0390080 | + | 0.120054i | ||||
\(238\) | −11.3473 | − | 8.24429i | −0.735535 | − | 0.534398i | ||||
\(239\) | 2.51820 | − | 1.82958i | 0.162889 | − | 0.118346i | −0.503355 | − | 0.864080i | \(-0.667901\pi\) |
0.666244 | + | 0.745734i | \(0.267901\pi\) | |||||||
\(240\) | 3.19671 | − | 9.83845i | 0.206346 | − | 0.635069i | ||||
\(241\) | −28.8964 | −1.86138 | −0.930690 | − | 0.365808i | \(-0.880793\pi\) | ||||
−0.930690 | + | 0.365808i | \(0.880793\pi\) | |||||||
\(242\) | −7.37369 | + | 19.6624i | −0.473999 | + | 1.26395i | ||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | −0.285672 | + | 0.879209i | −0.0182883 | + | 0.0562856i | ||||
\(245\) | −7.71173 | + | 5.60290i | −0.492684 | + | 0.357956i | ||||
\(246\) | 16.4040 | + | 11.9182i | 1.04588 | + | 0.759876i | ||||
\(247\) | 1.57805 | + | 4.85673i | 0.100409 | + | 0.309027i | ||||
\(248\) | −1.29642 | − | 3.98996i | −0.0823225 | − | 0.253363i | ||||
\(249\) | −13.2306 | − | 9.61261i | −0.838456 | − | 0.609174i | ||||
\(250\) | 17.1063 | − | 12.4285i | 1.08190 | − | 0.786045i | ||||
\(251\) | 0.830853 | − | 2.55710i | 0.0524429 | − | 0.161403i | −0.921405 | − | 0.388604i | \(-0.872957\pi\) |
0.973848 | + | 0.227201i | \(0.0729575\pi\) | |||||||
\(252\) | −5.50949 | −0.347065 | ||||||||
\(253\) | 0.243170 | − | 10.8967i | 0.0152880 | − | 0.685070i | ||||
\(254\) | 30.2565 | 1.89846 | ||||||||
\(255\) | 1.52907 | − | 4.70601i | 0.0957543 | − | 0.294702i | ||||
\(256\) | −16.2594 | + | 11.8132i | −1.01621 | + | 0.738322i | ||||
\(257\) | 4.36051 | + | 3.16810i | 0.272001 | + | 0.197620i | 0.715421 | − | 0.698694i | \(-0.246235\pi\) |
−0.443420 | + | 0.896314i | \(0.646235\pi\) | |||||||
\(258\) | −2.73288 | − | 8.41095i | −0.170142 | − | 0.523643i | ||||
\(259\) | −0.818473 | − | 2.51900i | −0.0508574 | − | 0.156523i | ||||
\(260\) | −3.00191 | − | 2.18102i | −0.186171 | − | 0.135261i | ||||
\(261\) | −7.15549 | + | 5.19877i | −0.442914 | + | 0.321796i | ||||
\(262\) | −1.00132 | + | 3.08175i | −0.0618617 | + | 0.190391i | ||||
\(263\) | −16.0314 | −0.988536 | −0.494268 | − | 0.869310i | \(-0.664564\pi\) | ||||
−0.494268 | + | 0.869310i | \(0.664564\pi\) | |||||||
\(264\) | 2.12483 | + | 0.743205i | 0.130774 | + | 0.0457411i | ||||
\(265\) | 15.0644 | 0.925401 | ||||||||
\(266\) | −10.0930 | + | 31.0632i | −0.618844 | + | 1.90461i | ||||
\(267\) | 10.7659 | − | 7.82187i | 0.658862 | − | 0.478691i | ||||
\(268\) | −14.5176 | − | 10.5477i | −0.886804 | − | 0.644301i | ||||
\(269\) | 0.682790 | + | 2.10141i | 0.0416304 | + | 0.128125i | 0.969712 | − | 0.244253i | \(-0.0785426\pi\) |
−0.928081 | + | 0.372378i | \(0.878543\pi\) | |||||||
\(270\) | −1.33111 | − | 4.09673i | −0.0810087 | − | 0.249319i | ||||
\(271\) | 14.3695 | + | 10.4401i | 0.872887 | + | 0.634189i | 0.931360 | − | 0.364100i | \(-0.118623\pi\) |
−0.0584733 | + | 0.998289i | \(0.518623\pi\) | |||||||
\(272\) | −8.13386 | + | 5.90960i | −0.493188 | + | 0.358322i | ||||
\(273\) | 1.03530 | − | 3.18633i | 0.0626593 | − | 0.192845i | ||||
\(274\) | 39.8738 | 2.40887 | ||||||||
\(275\) | −0.172443 | − | 0.248839i | −0.0103987 | − | 0.0150056i | ||||
\(276\) | 5.40423 | 0.325297 | ||||||||
\(277\) | 7.88320 | − | 24.2620i | 0.473656 | − | 1.45776i | −0.374106 | − | 0.927386i | \(-0.622050\pi\) |
0.847762 | − | 0.530377i | \(-0.177950\pi\) | |||||||
\(278\) | −18.0825 | + | 13.1377i | −1.08452 | + | 0.787949i | ||||
\(279\) | −5.00069 | − | 3.63321i | −0.299383 | − | 0.217515i | ||||
\(280\) | 1.58552 | + | 4.87971i | 0.0947526 | + | 0.291619i | ||||
\(281\) | −1.15650 | − | 3.55933i | −0.0689908 | − | 0.212332i | 0.910617 | − | 0.413252i | \(-0.135607\pi\) |
−0.979608 | + | 0.200920i | \(0.935607\pi\) | |||||||
\(282\) | 2.58472 | + | 1.87791i | 0.153918 | + | 0.111828i | ||||
\(283\) | −17.9828 | + | 13.0652i | −1.06896 | + | 0.776647i | −0.975726 | − | 0.218996i | \(-0.929722\pi\) |
−0.0932379 | + | 0.995644i | \(0.529722\pi\) | |||||||
\(284\) | 3.73571 | − | 11.4973i | 0.221674 | − | 0.682242i | ||||
\(285\) | −11.5226 | −0.682542 | ||||||||
\(286\) | 3.83498 | − | 5.03807i | 0.226767 | − | 0.297907i | ||||
\(287\) | −35.5843 | −2.10048 | ||||||||
\(288\) | −2.28515 | + | 7.03297i | −0.134654 | + | 0.414422i | ||||
\(289\) | 9.86263 | − | 7.16562i | 0.580155 | − | 0.421507i | ||||
\(290\) | −30.8227 | − | 22.3940i | −1.80997 | − | 1.31502i | ||||
\(291\) | 0.678399 | + | 2.08790i | 0.0397684 | + | 0.122395i | ||||
\(292\) | −3.38392 | − | 10.4146i | −0.198029 | − | 0.609470i | ||||
\(293\) | 16.7426 | + | 12.1642i | 0.978111 | + | 0.710639i | 0.957286 | − | 0.289144i | \(-0.0933707\pi\) |
0.0208252 | + | 0.999783i | \(0.493371\pi\) | |||||||
\(294\) | 6.52462 | − | 4.74042i | 0.380524 | − | 0.276467i | ||||
\(295\) | 5.43799 | − | 16.7364i | 0.316612 | − | 0.974432i | ||||
\(296\) | −0.536571 | −0.0311876 | ||||||||
\(297\) | 3.17638 | − | 0.954265i | 0.184312 | − | 0.0553721i | ||||
\(298\) | −15.6192 | −0.904798 | ||||||||
\(299\) | −1.01552 | + | 3.12546i | −0.0587292 | + | 0.180750i | ||||
\(300\) | 0.121443 | − | 0.0882335i | 0.00701151 | − | 0.00509416i | ||||
\(301\) | 12.5564 | + | 9.12273i | 0.723736 | + | 0.525825i | ||||
\(302\) | 0.376431 | + | 1.15853i | 0.0216612 | + | 0.0666662i | ||||
\(303\) | 2.51095 | + | 7.72790i | 0.144250 | + | 0.443956i | ||||
\(304\) | 18.9410 | + | 13.7614i | 1.08634 | + | 0.789272i | ||||
\(305\) | 1.02620 | − | 0.745575i | 0.0587598 | − | 0.0426915i | ||||
\(306\) | −1.29370 | + | 3.98159i | −0.0739557 | + | 0.227612i | ||||
\(307\) | −13.7125 | −0.782616 | −0.391308 | − | 0.920260i | \(-0.627977\pi\) | ||||
−0.391308 | + | 0.920260i | \(0.627977\pi\) | |||||||
\(308\) | 17.5002 | − | 5.25751i | 0.997167 | − | 0.299574i | ||||
\(309\) | 7.99375 | 0.454748 | ||||||||
\(310\) | 8.22783 | − | 25.3227i | 0.467309 | − | 1.43823i | ||||
\(311\) | 6.74240 | − | 4.89864i | 0.382327 | − | 0.277776i | −0.379977 | − | 0.924996i | \(-0.624068\pi\) |
0.762304 | + | 0.647219i | \(0.224068\pi\) | |||||||
\(312\) | −0.549095 | − | 0.398941i | −0.0310864 | − | 0.0225856i | ||||
\(313\) | 4.67296 | + | 14.3819i | 0.264131 | + | 0.812913i | 0.991892 | + | 0.127082i | \(0.0405611\pi\) |
−0.727761 | + | 0.685831i | \(0.759439\pi\) | |||||||
\(314\) | 11.6529 | + | 35.8639i | 0.657611 | + | 2.02392i | ||||
\(315\) | 6.11583 | + | 4.44341i | 0.344588 | + | 0.250358i | ||||
\(316\) | 2.58541 | − | 1.87841i | 0.145441 | − | 0.105669i | ||||
\(317\) | 10.7361 | − | 33.0424i | 0.603001 | − | 1.85585i | 0.0930127 | − | 0.995665i | \(-0.470350\pi\) |
0.509988 | − | 0.860181i | \(-0.329650\pi\) | |||||||
\(318\) | −12.7455 | −0.714732 | ||||||||
\(319\) | 17.7675 | − | 23.3415i | 0.994792 | − | 1.30687i | ||||
\(320\) | −11.1644 | −0.624111 | ||||||||
\(321\) | 5.45022 | − | 16.7741i | 0.304202 | − | 0.936237i | ||||
\(322\) | −17.0046 | + | 12.3546i | −0.947630 | + | 0.688493i | ||||
\(323\) | 9.06000 | + | 6.58248i | 0.504112 | + | 0.366259i | ||||
\(324\) | 0.508170 | + | 1.56399i | 0.0282317 | + | 0.0868882i | ||||
\(325\) | 0.0282079 | + | 0.0868149i | 0.00156469 | + | 0.00481563i | ||||
\(326\) | −2.44916 | − | 1.77942i | −0.135646 | − | 0.0985527i | ||||
\(327\) | 0.539393 | − | 0.391892i | 0.0298285 | − | 0.0216717i | ||||
\(328\) | −2.22765 | + | 6.85600i | −0.123001 | + | 0.378559i | ||||
\(329\) | −5.60691 | −0.309119 | ||||||||
\(330\) | 8.13747 | + | 11.7425i | 0.447953 | + | 0.646405i | ||||
\(331\) | 18.4218 | 1.01255 | 0.506276 | − | 0.862371i | \(-0.331022\pi\) | ||||
0.506276 | + | 0.862371i | \(0.331022\pi\) | |||||||
\(332\) | −8.31058 | + | 25.5773i | −0.456103 | + | 1.40374i | ||||
\(333\) | −0.639581 | + | 0.464682i | −0.0350488 | + | 0.0254644i | ||||
\(334\) | 31.8838 | + | 23.1650i | 1.74461 | + | 1.26753i | ||||
\(335\) | 7.60863 | + | 23.4170i | 0.415704 | + | 1.27940i | ||||
\(336\) | −4.74650 | − | 14.6082i | −0.258943 | − | 0.796944i | ||||
\(337\) | 6.14050 | + | 4.46134i | 0.334494 | + | 0.243024i | 0.742335 | − | 0.670029i | \(-0.233718\pi\) |
−0.407841 | + | 0.913053i | \(0.633718\pi\) | |||||||
\(338\) | −1.54445 | + | 1.12211i | −0.0840072 | + | 0.0610348i | ||||
\(339\) | −4.57298 | + | 14.0742i | −0.248370 | + | 0.764405i | ||||
\(340\) | −8.13716 | −0.441300 | ||||||||
\(341\) | 19.3511 | + | 6.76848i | 1.04792 | + | 0.366534i | ||||
\(342\) | 9.74889 | 0.527160 | ||||||||
\(343\) | 2.87343 | − | 8.84350i | 0.155150 | − | 0.477504i | ||||
\(344\) | 2.54372 | − | 1.84812i | 0.137148 | − | 0.0996440i | ||||
\(345\) | −5.99899 | − | 4.35852i | −0.322975 | − | 0.234655i | ||||
\(346\) | 9.01320 | + | 27.7398i | 0.484553 | + | 1.49130i | ||||
\(347\) | 5.82678 | + | 17.9330i | 0.312798 | + | 0.962693i | 0.976651 | + | 0.214830i | \(0.0689198\pi\) |
−0.663854 | + | 0.747863i | \(0.731080\pi\) | |||||||
\(348\) | 11.7670 | + | 8.54923i | 0.630778 | + | 0.458287i | ||||
\(349\) | −25.8724 | + | 18.7974i | −1.38492 | + | 1.00620i | −0.388517 | + | 0.921442i | \(0.627013\pi\) |
−0.996401 | + | 0.0847605i | \(0.972987\pi\) | |||||||
\(350\) | −0.180415 | + | 0.555260i | −0.00964358 | + | 0.0296799i | ||||
\(351\) | −1.00000 | −0.0533761 | ||||||||
\(352\) | 0.547186 | − | 24.5200i | 0.0291651 | − | 1.30692i | ||||
\(353\) | −2.86396 | −0.152433 | −0.0762165 | − | 0.997091i | \(-0.524284\pi\) | ||||
−0.0762165 | + | 0.997091i | \(0.524284\pi\) | |||||||
\(354\) | −4.60089 | + | 14.1601i | −0.244535 | + | 0.752601i | ||||
\(355\) | −13.4195 | + | 9.74982i | −0.712232 | + | 0.517467i | ||||
\(356\) | −17.7042 | − | 12.8629i | −0.938321 | − | 0.681730i | ||||
\(357\) | −2.27038 | − | 6.98752i | −0.120161 | − | 0.369819i | ||||
\(358\) | −3.95700 | − | 12.1784i | −0.209134 | − | 0.643648i | ||||
\(359\) | 19.9602 | + | 14.5019i | 1.05346 | + | 0.765382i | 0.972867 | − | 0.231365i | \(-0.0743192\pi\) |
0.0805910 | + | 0.996747i | \(0.474319\pi\) | |||||||
\(360\) | 1.23897 | − | 0.900165i | 0.0652995 | − | 0.0474429i | ||||
\(361\) | 2.18725 | − | 6.73168i | 0.115119 | − | 0.354299i | ||||
\(362\) | 38.5335 | 2.02528 | ||||||||
\(363\) | −9.17876 | + | 6.06221i | −0.481760 | + | 0.318184i | ||||
\(364\) | −5.50949 | −0.288776 | ||||||||
\(365\) | −4.64308 | + | 14.2899i | −0.243030 | + | 0.747970i | ||||
\(366\) | −0.868229 | + | 0.630805i | −0.0453831 | + | 0.0329727i | ||||
\(367\) | 16.2756 | + | 11.8249i | 0.849580 | + | 0.617256i | 0.925030 | − | 0.379894i | \(-0.124039\pi\) |
−0.0754502 | + | 0.997150i | \(0.524039\pi\) | |||||||
\(368\) | 4.65582 | + | 14.3291i | 0.242701 | + | 0.746958i | ||||
\(369\) | 3.28214 | + | 10.1014i | 0.170861 | + | 0.525857i | ||||
\(370\) | −2.75503 | − | 2.00165i | −0.143227 | − | 0.104061i | ||||
\(371\) | 18.0959 | − | 13.1475i | 0.939495 | − | 0.682583i | ||||
\(372\) | −3.14110 | + | 9.66730i | −0.162858 | + | 0.501226i | ||||
\(373\) | −12.6948 | −0.657311 | −0.328655 | − | 0.944450i | \(-0.606595\pi\) | ||||
−0.328655 | + | 0.944450i | \(0.606595\pi\) | |||||||
\(374\) | 0.309780 | − | 13.8816i | 0.0160183 | − | 0.717798i | ||||
\(375\) | 11.0760 | 0.571960 | ||||||||
\(376\) | −0.351003 | + | 1.08028i | −0.0181016 | + | 0.0557111i | ||||
\(377\) | −7.15549 | + | 5.19877i | −0.368527 | + | 0.267750i | ||||
\(378\) | −5.17439 | − | 3.75942i | −0.266142 | − | 0.193364i | ||||
\(379\) | 5.15849 | + | 15.8762i | 0.264974 | + | 0.815506i | 0.991699 | + | 0.128578i | \(0.0410412\pi\) |
−0.726726 | + | 0.686928i | \(0.758959\pi\) | |||||||
\(380\) | 5.85546 | + | 18.0212i | 0.300379 | + | 0.924470i | ||||
\(381\) | 12.8221 | + | 9.31581i | 0.656897 | + | 0.477263i | ||||
\(382\) | 3.82504 | − | 2.77906i | 0.195706 | − | 0.142189i | ||||
\(383\) | 0.309394 | − | 0.952216i | 0.0158093 | − | 0.0486560i | −0.942841 | − | 0.333244i | \(-0.891857\pi\) |
0.958650 | + | 0.284588i | \(0.0918568\pi\) | |||||||
\(384\) | −5.34396 | −0.272708 | ||||||||
\(385\) | −23.6664 | − | 8.27784i | −1.20615 | − | 0.421878i | ||||
\(386\) | −23.6002 | −1.20122 | ||||||||
\(387\) | 1.43154 | − | 4.40583i | 0.0727693 | − | 0.223961i | ||||
\(388\) | 2.92070 | − | 2.12201i | 0.148276 | − | 0.107729i | ||||
\(389\) | −8.28848 | − | 6.02193i | −0.420243 | − | 0.305324i | 0.357493 | − | 0.933916i | \(-0.383632\pi\) |
−0.777735 | + | 0.628592i | \(0.783632\pi\) | |||||||
\(390\) | −1.33111 | − | 4.09673i | −0.0674033 | − | 0.207446i | ||||
\(391\) | 2.22701 | + | 6.85403i | 0.112625 | + | 0.346623i | ||||
\(392\) | 2.31968 | + | 1.68535i | 0.117162 | + | 0.0851228i | ||||
\(393\) | −1.37319 | + | 0.997681i | −0.0692683 | + | 0.0503264i | ||||
\(394\) | −6.55788 | + | 20.1831i | −0.330381 | + | 1.01681i | ||||
\(395\) | −4.38489 | −0.220628 | ||||||||
\(396\) | −3.10660 | − | 4.48288i | −0.156112 | − | 0.225273i | ||||
\(397\) | −14.7489 | −0.740227 | −0.370113 | − | 0.928987i | \(-0.620681\pi\) | ||||
−0.370113 | + | 0.928987i | \(0.620681\pi\) | |||||||
\(398\) | 2.24900 | − | 6.92171i | 0.112732 | − | 0.346954i | ||||
\(399\) | −13.8414 | + | 10.0564i | −0.692937 | + | 0.503448i | ||||
\(400\) | 0.338573 | + | 0.245988i | 0.0169286 | + | 0.0122994i | ||||
\(401\) | 7.25945 | + | 22.3423i | 0.362520 | + | 1.11572i | 0.951520 | + | 0.307588i | \(0.0995217\pi\) |
−0.589000 | + | 0.808133i | \(0.700478\pi\) | |||||||
\(402\) | −6.43740 | − | 19.8123i | −0.321068 | − | 0.988146i | ||||
\(403\) | −5.00069 | − | 3.63321i | −0.249102 | − | 0.180983i | ||||
\(404\) | 10.8103 | − | 7.85417i | 0.537834 | − | 0.390760i | ||||
\(405\) | 0.697262 | − | 2.14595i | 0.0346472 | − | 0.106633i | ||||
\(406\) | −56.5697 | −2.80751 | ||||||||
\(407\) | 1.58812 | − | 2.08634i | 0.0787202 | − | 0.103416i | ||||
\(408\) | −1.48841 | −0.0736873 | ||||||||
\(409\) | 1.00668 | − | 3.09823i | 0.0497769 | − | 0.153198i | −0.923078 | − | 0.384612i | \(-0.874335\pi\) |
0.972855 | + | 0.231414i | \(0.0743353\pi\) | |||||||
\(410\) | −37.0137 | + | 26.8920i | −1.82798 | + | 1.32810i | ||||
\(411\) | 16.8977 | + | 12.2769i | 0.833503 | + | 0.605576i | ||||
\(412\) | −4.06218 | − | 12.5021i | −0.200129 | − | 0.615935i | ||||
\(413\) | −8.07438 | − | 24.8504i | −0.397314 | − | 1.22281i | ||||
\(414\) | 5.07554 | + | 3.68760i | 0.249449 | + | 0.181235i | ||||
\(415\) | 29.8534 | − | 21.6898i | 1.46545 | − | 1.06471i | ||||
\(416\) | −2.28515 | + | 7.03297i | −0.112039 | + | 0.344820i | ||||
\(417\) | −11.7080 | −0.573346 | ||||||||
\(418\) | −30.9662 | + | 9.30303i | −1.51461 | + | 0.455026i | ||||
\(419\) | 0.538827 | 0.0263234 | 0.0131617 | − | 0.999913i | \(-0.495810\pi\) | ||||
0.0131617 | + | 0.999913i | \(0.495810\pi\) | |||||||
\(420\) | 3.84156 | − | 11.8231i | 0.187449 | − | 0.576908i | ||||
\(421\) | 2.29785 | − | 1.66949i | 0.111990 | − | 0.0813658i | −0.530380 | − | 0.847760i | \(-0.677951\pi\) |
0.642371 | + | 0.766394i | \(0.277951\pi\) | |||||||
\(422\) | −18.7981 | − | 13.6576i | −0.915079 | − | 0.664844i | ||||
\(423\) | 0.517156 | + | 1.59164i | 0.0251450 | + | 0.0773883i | ||||
\(424\) | −1.40027 | − | 4.30958i | −0.0680031 | − | 0.209292i | ||||
\(425\) | 0.161949 | + | 0.117663i | 0.00785568 | + | 0.00570749i | ||||
\(426\) | 11.3538 | − | 8.24898i | 0.550091 | − | 0.399665i | ||||
\(427\) | 0.582004 | − | 1.79122i | 0.0281652 | − | 0.0866834i | ||||
\(428\) | −29.0041 | −1.40196 | ||||||||
\(429\) | 3.17638 | − | 0.954265i | 0.153357 | − | 0.0460723i | ||||
\(430\) | 19.9550 | 0.962317 | ||||||||
\(431\) | −6.81358 | + | 20.9701i | −0.328199 | + | 1.01009i | 0.641777 | + | 0.766891i | \(0.278197\pi\) |
−0.969976 | + | 0.243201i | \(0.921803\pi\) | |||||||
\(432\) | −3.70906 | + | 2.69479i | −0.178452 | + | 0.129653i | ||||
\(433\) | −20.0929 | − | 14.5983i | −0.965602 | − | 0.701551i | −0.0111567 | − | 0.999938i | \(-0.503551\pi\) |
−0.954445 | + | 0.298387i | \(0.903551\pi\) | |||||||
\(434\) | −12.2168 | − | 37.5993i | −0.586424 | − | 1.80483i | ||||
\(435\) | −6.16705 | − | 18.9802i | −0.295688 | − | 0.910033i | ||||
\(436\) | −0.887017 | − | 0.644455i | −0.0424804 | − | 0.0308638i | ||||
\(437\) | 13.5770 | − | 9.86425i | 0.649475 | − | 0.471871i | ||||
\(438\) | 3.92835 | − | 12.0902i | 0.187704 | − | 0.577693i | ||||
\(439\) | 10.5872 | 0.505298 | 0.252649 | − | 0.967558i | \(-0.418698\pi\) | ||||
0.252649 | + | 0.967558i | \(0.418698\pi\) | |||||||
\(440\) | −3.07644 | + | 4.04157i | −0.146664 | + | 0.192674i | ||||
\(441\) | 4.22455 | 0.201169 | ||||||||
\(442\) | −1.29370 | + | 3.98159i | −0.0615349 | + | 0.189385i | ||||
\(443\) | 17.3967 | − | 12.6394i | 0.826542 | − | 0.600518i | −0.0920372 | − | 0.995756i | \(-0.529338\pi\) |
0.918579 | + | 0.395238i | \(0.129338\pi\) | |||||||
\(444\) | 1.05177 | + | 0.764158i | 0.0499149 | + | 0.0362653i | ||||
\(445\) | 9.27872 | + | 28.5570i | 0.439854 | + | 1.35373i | ||||
\(446\) | −16.1011 | − | 49.5540i | −0.762408 | − | 2.34645i | ||||
\(447\) | −6.61911 | − | 4.80907i | −0.313073 | − | 0.227461i | ||||
\(448\) | −13.4111 | + | 9.74375i | −0.633616 | + | 0.460349i | ||||
\(449\) | 2.70196 | − | 8.31579i | 0.127514 | − | 0.392446i | −0.866837 | − | 0.498591i | \(-0.833851\pi\) |
0.994351 | + | 0.106145i | \(0.0338508\pi\) | |||||||
\(450\) | 0.174263 | 0.00821484 | ||||||||
\(451\) | −20.0647 | − | 28.9538i | −0.944810 | − | 1.36338i | ||||
\(452\) | 24.3357 | 1.14465 | ||||||||
\(453\) | −0.197182 | + | 0.606864i | −0.00926443 | + | 0.0285130i | ||||
\(454\) | 15.2805 | − | 11.1020i | 0.717151 | − | 0.521041i | ||||
\(455\) | 6.11583 | + | 4.44341i | 0.286715 | + | 0.208310i | ||||
\(456\) | 1.07105 | + | 3.29636i | 0.0501566 | + | 0.154366i | ||||
\(457\) | −12.6170 | − | 38.8311i | −0.590198 | − | 1.81644i | −0.577307 | − | 0.816527i | \(-0.695897\pi\) |
−0.0128911 | − | 0.999917i | \(-0.504103\pi\) | |||||||
\(458\) | −24.6511 | − | 17.9101i | −1.15187 | − | 0.836884i | ||||
\(459\) | −1.77415 | + | 1.28900i | −0.0828102 | + | 0.0601651i | ||||
\(460\) | −3.76816 | + | 11.5972i | −0.175692 | + | 0.540723i | ||||
\(461\) | 26.3366 | 1.22662 | 0.613308 | − | 0.789844i | \(-0.289838\pi\) | ||||
0.613308 | + | 0.789844i | \(0.289838\pi\) | |||||||
\(462\) | 20.0233 | + | 7.00359i | 0.931569 | + | 0.325836i | ||||
\(463\) | −27.1340 | −1.26102 | −0.630511 | − | 0.776180i | \(-0.717155\pi\) | ||||
−0.630511 | + | 0.776180i | \(0.717155\pi\) | |||||||
\(464\) | −12.5306 | + | 38.5651i | −0.581717 | + | 1.79034i | ||||
\(465\) | 11.2835 | − | 8.19793i | 0.523259 | − | 0.380170i | ||||
\(466\) | −10.5861 | − | 7.69123i | −0.490390 | − | 0.356289i | ||||
\(467\) | 3.23169 | + | 9.94613i | 0.149545 | + | 0.460252i | 0.997567 | − | 0.0697082i | \(-0.0222068\pi\) |
−0.848022 | + | 0.529960i | \(0.822207\pi\) | |||||||
\(468\) | 0.508170 | + | 1.56399i | 0.0234902 | + | 0.0722953i | ||||
\(469\) | 29.5769 | + | 21.4889i | 1.36573 | + | 0.992264i | ||||
\(470\) | −5.83214 | + | 4.23729i | −0.269016 | + | 0.195452i | ||||
\(471\) | −6.10403 | + | 18.7863i | −0.281259 | + | 0.865625i | ||||
\(472\) | −5.29337 | −0.243647 | ||||||||
\(473\) | −0.342787 | + | 15.3607i | −0.0157614 | + | 0.706284i | ||||
\(474\) | 3.70990 | 0.170401 | ||||||||
\(475\) | 0.144048 | − | 0.443335i | 0.00660939 | − | 0.0203416i | ||||
\(476\) | −9.77466 | + | 7.10170i | −0.448021 | + | 0.325506i | ||||
\(477\) | −5.40128 | − | 3.92426i | −0.247308 | − | 0.179680i | ||||
\(478\) | −1.83625 | − | 5.65141i | −0.0839883 | − | 0.258489i | ||||
\(479\) | 11.4487 | + | 35.2356i | 0.523106 | + | 1.60996i | 0.768031 | + | 0.640413i | \(0.221237\pi\) |
−0.244924 | + | 0.969542i | \(0.578763\pi\) | |||||||
\(480\) | −13.4991 | − | 9.80764i | −0.616145 | − | 0.447655i | ||||
\(481\) | −0.639581 | + | 0.464682i | −0.0291624 | + | 0.0211877i | ||||
\(482\) | −17.0468 | + | 52.4647i | −0.776461 | + | 2.38970i | ||||
\(483\) | −11.0101 | −0.500977 | ||||||||
\(484\) | 14.1456 | + | 11.2748i | 0.642981 | + | 0.512492i | ||||
\(485\) | −4.95355 | −0.224929 | ||||||||
\(486\) | −0.589929 | + | 1.81561i | −0.0267597 | + | 0.0823580i | ||||
\(487\) | 30.8882 | − | 22.4416i | 1.39968 | − | 1.01693i | 0.404955 | − | 0.914336i | \(-0.367287\pi\) |
0.994724 | − | 0.102590i | \(-0.0327130\pi\) | |||||||
\(488\) | −0.308679 | − | 0.224268i | −0.0139732 | − | 0.0101521i | ||||
\(489\) | −0.490031 | − | 1.50816i | −0.0221600 | − | 0.0682014i | ||||
\(490\) | 5.62333 | + | 17.3068i | 0.254036 | + | 0.781843i | ||||
\(491\) | −16.1376 | − | 11.7247i | −0.728281 | − | 0.529127i | 0.160738 | − | 0.986997i | \(-0.448612\pi\) |
−0.889019 | + | 0.457870i | \(0.848612\pi\) | |||||||
\(492\) | 14.1305 | − | 10.2664i | 0.637054 | − | 0.462847i | ||||
\(493\) | −5.99372 | + | 18.4468i | −0.269944 | + | 0.830801i | ||||
\(494\) | 9.74889 | 0.438624 | ||||||||
\(495\) | −0.166962 | + | 7.48173i | −0.00750437 | + | 0.336279i | ||||
\(496\) | −28.3386 | −1.27244 | ||||||||
\(497\) | −7.61081 | + | 23.4237i | −0.341392 | + | 1.05070i | ||||
\(498\) | −25.2579 | + | 18.3509i | −1.13183 | + | 0.822326i | ||||
\(499\) | 2.12860 | + | 1.54652i | 0.0952891 | + | 0.0692316i | 0.634410 | − | 0.772997i | \(-0.281243\pi\) |
−0.539121 | + | 0.842229i | \(0.681243\pi\) | |||||||
\(500\) | −5.62848 | − | 17.3227i | −0.251713 | − | 0.774693i | ||||
\(501\) | 6.37937 | + | 19.6337i | 0.285009 | + | 0.877169i | ||||
\(502\) | −4.15257 | − | 3.01702i | −0.185338 | − | 0.134656i | ||||
\(503\) | 15.8125 | − | 11.4885i | 0.705046 | − | 0.512246i | −0.176525 | − | 0.984296i | \(-0.556486\pi\) |
0.881572 | + | 0.472050i | \(0.156486\pi\) | |||||||
\(504\) | 0.702679 | − | 2.16262i | 0.0312998 | − | 0.0963309i | ||||
\(505\) | −18.3345 | −0.815874 | ||||||||
\(506\) | −19.6408 | − | 6.86979i | −0.873139 | − | 0.305399i | ||||
\(507\) | −1.00000 | −0.0444116 | ||||||||
\(508\) | 8.05399 | − | 24.7876i | 0.357338 | − | 1.09977i | ||||
\(509\) | 4.36978 | − | 3.17483i | 0.193687 | − | 0.140722i | −0.486715 | − | 0.873561i | \(-0.661805\pi\) |
0.680402 | + | 0.732839i | \(0.261805\pi\) | |||||||
\(510\) | −7.64225 | − | 5.55242i | −0.338404 | − | 0.245865i | ||||
\(511\) | 6.89410 | + | 21.2178i | 0.304977 | + | 0.938622i | ||||
\(512\) | 8.55349 | + | 26.3249i | 0.378014 | + | 1.16341i | ||||
\(513\) | 4.13138 | + | 3.00163i | 0.182405 | + | 0.132525i | ||||
\(514\) | 8.32443 | − | 6.04805i | 0.367175 | − | 0.266768i | ||||
\(515\) | −5.57373 | + | 17.1542i | −0.245608 | + | 0.755904i | ||||
\(516\) | −7.61813 | −0.335369 | ||||||||
\(517\) | −3.16153 | − | 4.56215i | −0.139044 | − | 0.200643i | ||||
\(518\) | −5.05638 | −0.222164 | ||||||||
\(519\) | −4.72130 | + | 14.5307i | −0.207242 | + | 0.637826i | ||||
\(520\) | 1.23897 | − | 0.900165i | 0.0543325 | − | 0.0394749i | ||||
\(521\) | 10.9524 | + | 7.95741i | 0.479835 | + | 0.348620i | 0.801262 | − | 0.598314i | \(-0.204162\pi\) |
−0.321427 | + | 0.946934i | \(0.604162\pi\) | |||||||
\(522\) | 5.21773 | + | 16.0585i | 0.228374 | + | 0.702862i | ||||
\(523\) | −4.38421 | − | 13.4932i | −0.191708 | − | 0.590017i | −0.999999 | − | 0.00123393i | \(-0.999607\pi\) |
0.808291 | − | 0.588783i | \(-0.200393\pi\) | |||||||
\(524\) | 2.25817 | + | 1.64066i | 0.0986488 | + | 0.0716725i | ||||
\(525\) | −0.247417 | + | 0.179759i | −0.0107982 | + | 0.00784534i | ||||
\(526\) | −9.45736 | + | 29.1068i | −0.412361 | + | 1.26912i | ||||
\(527\) | −13.5552 | −0.590472 | ||||||||
\(528\) | 9.20984 | − | 12.0991i | 0.400807 | − | 0.526546i | ||||
\(529\) | −12.2002 | −0.530445 | ||||||||
\(530\) | 8.88695 | − | 27.3512i | 0.386024 | − | 1.18806i | ||||
\(531\) | −6.30958 | + | 4.58418i | −0.273812 | + | 0.198936i | ||||
\(532\) | 22.7618 | + | 16.5374i | 0.986850 | + | 0.716988i | ||||
\(533\) | 3.28214 | + | 10.1014i | 0.142165 | + | 0.437539i | ||||
\(534\) | −7.85040 | − | 24.1611i | −0.339720 | − | 1.04555i | ||||
\(535\) | 32.1961 | + | 23.3918i | 1.39196 | + | 1.01132i | ||||
\(536\) | 5.99181 | − | 4.35330i | 0.258807 | − | 0.188034i | ||||
\(537\) | 2.07276 | − | 6.37929i | 0.0894461 | − | 0.275287i | ||||
\(538\) | 4.21815 | 0.181857 | ||||||||
\(539\) | −13.4188 | + | 4.03134i | −0.577987 | + | 0.173642i | ||||
\(540\) | −3.71057 | −0.159677 | ||||||||
\(541\) | −1.03836 | + | 3.19573i | −0.0446425 | + | 0.137395i | −0.970893 | − | 0.239512i | \(-0.923013\pi\) |
0.926251 | + | 0.376907i | \(0.123013\pi\) | |||||||
\(542\) | 27.4322 | − | 19.9306i | 1.17831 | − | 0.856094i | ||||
\(543\) | 16.3297 | + | 11.8642i | 0.700775 | + | 0.509143i | ||||
\(544\) | 5.01126 | + | 15.4231i | 0.214856 | + | 0.661259i | ||||
\(545\) | 0.464883 | + | 1.43076i | 0.0199134 | + | 0.0612871i | ||||
\(546\) | −5.17439 | − | 3.75942i | −0.221444 | − | 0.160888i | ||||
\(547\) | −1.77587 | + | 1.29025i | −0.0759309 | + | 0.0551670i | −0.625103 | − | 0.780542i | \(-0.714943\pi\) |
0.549172 | + | 0.835709i | \(0.314943\pi\) | |||||||
\(548\) | 10.6140 | − | 32.6666i | 0.453408 | − | 1.39545i | ||||
\(549\) | −0.562159 | −0.0239924 | ||||||||
\(550\) | −0.553526 | + | 0.166293i | −0.0236024 | + | 0.00709076i | ||||
\(551\) | 45.1669 | 1.92417 | ||||||||
\(552\) | −0.689254 | + | 2.12131i | −0.0293366 | + | 0.0902888i | ||||
\(553\) | −5.26729 | + | 3.82691i | −0.223988 | + | 0.162737i | ||||
\(554\) | −39.3999 | − | 28.6257i | −1.67394 | − | 1.21619i | ||||
\(555\) | −0.551231 | − | 1.69651i | −0.0233985 | − | 0.0720130i | ||||
\(556\) | 5.94968 | + | 18.3112i | 0.252323 | + | 0.776569i | ||||
\(557\) | −19.1269 | − | 13.8965i | −0.810432 | − | 0.588814i | 0.103524 | − | 0.994627i | \(-0.466988\pi\) |
−0.913956 | + | 0.405813i | \(0.866988\pi\) | |||||||
\(558\) | −9.54656 | + | 6.93599i | −0.404138 | + | 0.293624i | ||||
\(559\) | 1.43154 | − | 4.40583i | 0.0605478 | − | 0.186347i | ||||
\(560\) | 34.6581 | 1.46457 | ||||||||
\(561\) | 4.40533 | − | 5.78734i | 0.185993 | − | 0.244342i | ||||
\(562\) | −7.14462 | −0.301378 | ||||||||
\(563\) | 13.3848 | − | 41.1941i | 0.564102 | − | 1.73613i | −0.106504 | − | 0.994312i | \(-0.533966\pi\) |
0.670606 | − | 0.741814i | \(-0.266034\pi\) | |||||||
\(564\) | 2.22650 | − | 1.61765i | 0.0937527 | − | 0.0681153i | ||||
\(565\) | −27.0139 | − | 19.6268i | −1.13649 | − | 0.825705i | ||||
\(566\) | 13.1129 | + | 40.3573i | 0.551176 | + | 1.69634i | ||||
\(567\) | −1.03530 | − | 3.18633i | −0.0434786 | − | 0.133813i | ||||
\(568\) | 4.03656 | + | 2.93274i | 0.169370 | + | 0.123055i | ||||
\(569\) | 23.2119 | − | 16.8644i | 0.973092 | − | 0.706993i | 0.0169381 | − | 0.999857i | \(-0.494608\pi\) |
0.956154 | + | 0.292864i | \(0.0946082\pi\) | |||||||
\(570\) | −6.79753 | + | 20.9207i | −0.284717 | + | 0.876270i | ||||
\(571\) | 43.6982 | 1.82871 | 0.914356 | − | 0.404911i | \(-0.132698\pi\) | ||||
0.914356 | + | 0.404911i | \(0.132698\pi\) | |||||||
\(572\) | −3.10660 | − | 4.48288i | −0.129893 | − | 0.187439i | ||||
\(573\) | 2.47663 | 0.103463 | ||||||||
\(574\) | −20.9922 | + | 64.6074i | −0.876199 | + | 2.69666i | ||||
\(575\) | 0.242691 | − | 0.176325i | 0.0101209 | − | 0.00735326i | ||||
\(576\) | 4.00295 | + | 2.90832i | 0.166790 | + | 0.121180i | ||||
\(577\) | −0.860301 | − | 2.64773i | −0.0358148 | − | 0.110227i | 0.931551 | − | 0.363611i | \(-0.118456\pi\) |
−0.967366 | + | 0.253384i | \(0.918456\pi\) | |||||||
\(578\) | −7.19176 | − | 22.1340i | −0.299138 | − | 0.920651i | ||||
\(579\) | −10.0013 | − | 7.26637i | −0.415640 | − | 0.301980i | ||||
\(580\) | −26.5509 | + | 19.2904i | −1.10247 | + | 0.800990i | ||||
\(581\) | 16.9313 | − | 52.1091i | 0.702427 | − | 2.16185i | ||||
\(582\) | 4.19102 | 0.173723 | ||||||||
\(583\) | 20.9013 | + | 7.31068i | 0.865643 | + | 0.302778i | ||||
\(584\) | 4.51960 | 0.187023 | ||||||||
\(585\) | 0.697262 | − | 2.14595i | 0.0288282 | − | 0.0887242i | ||||
\(586\) | 31.9624 | − | 23.2220i | 1.32035 | − | 0.959293i | ||||
\(587\) | −7.30621 | − | 5.30827i | −0.301559 | − | 0.219096i | 0.426707 | − | 0.904390i | \(-0.359674\pi\) |
−0.728266 | + | 0.685294i | \(0.759674\pi\) | |||||||
\(588\) | −2.14679 | − | 6.60714i | −0.0885321 | − | 0.272474i | ||||
\(589\) | 9.75422 | + | 30.0204i | 0.401916 | + | 1.23697i | ||||
\(590\) | −27.1789 | − | 19.7466i | −1.11894 | − | 0.812954i | ||||
\(591\) | −8.99335 | + | 6.53405i | −0.369937 | + | 0.268775i | ||||
\(592\) | −1.12002 | + | 3.44707i | −0.0460326 | + | 0.141674i | ||||
\(593\) | 23.0362 | 0.945982 | 0.472991 | − | 0.881067i | \(-0.343174\pi\) | ||||
0.472991 | + | 0.881067i | \(0.343174\pi\) | |||||||
\(594\) | 0.141260 | − | 6.33003i | 0.00579599 | − | 0.259724i | ||||
\(595\) | 16.5779 | 0.679629 | ||||||||
\(596\) | −4.15768 | + | 12.7960i | −0.170305 | + | 0.524146i | ||||
\(597\) | 3.08424 | − | 2.24083i | 0.126229 | − | 0.0917110i | ||||
\(598\) | 5.07554 | + | 3.68760i | 0.207554 | + | 0.150797i | ||||
\(599\) | −12.5704 | − | 38.6877i | −0.513612 | − | 1.58073i | −0.785794 | − | 0.618489i | \(-0.787745\pi\) |
0.272182 | − | 0.962246i | \(-0.412255\pi\) | |||||||
\(600\) | 0.0191452 | + | 0.0589229i | 0.000781600 | + | 0.00240552i | ||||
\(601\) | 27.0700 | + | 19.6675i | 1.10421 | + | 0.802255i | 0.981742 | − | 0.190218i | \(-0.0609194\pi\) |
0.122467 | + | 0.992473i | \(0.460919\pi\) | |||||||
\(602\) | 23.9707 | − | 17.4157i | 0.976974 | − | 0.709813i | ||||
\(603\) | 3.37204 | − | 10.3781i | 0.137320 | − | 0.422628i | ||||
\(604\) | 1.04933 | 0.0426966 | ||||||||
\(605\) | −6.60921 | − | 23.9241i | −0.268703 | − | 0.972654i | ||||
\(606\) | 15.5122 | 0.630138 | ||||||||
\(607\) | −1.58105 | + | 4.86596i | −0.0641727 | + | 0.197503i | −0.978002 | − | 0.208595i | \(-0.933111\pi\) |
0.913829 | + | 0.406098i | \(0.133111\pi\) | |||||||
\(608\) | 30.5512 | − | 22.1967i | 1.23901 | − | 0.900196i | ||||
\(609\) | −23.9731 | − | 17.4175i | −0.971438 | − | 0.705791i | ||||
\(610\) | −0.748295 | − | 2.30301i | −0.0302976 | − | 0.0932463i | ||||
\(611\) | 0.517156 | + | 1.59164i | 0.0209219 | + | 0.0643909i | ||||
\(612\) | 2.91754 | + | 2.11972i | 0.117935 | + | 0.0856845i | ||||
\(613\) | −34.4126 | + | 25.0022i | −1.38991 | + | 1.00983i | −0.394036 | + | 0.919095i | \(0.628921\pi\) |
−0.995875 | + | 0.0907343i | \(0.971079\pi\) | |||||||
\(614\) | −8.08942 | + | 24.8967i | −0.326462 | + | 1.00475i | ||||
\(615\) | −23.9656 | −0.966385 | ||||||||
\(616\) | −0.168259 | + | 7.53985i | −0.00677934 | + | 0.303789i | ||||
\(617\) | −26.9118 | −1.08343 | −0.541714 | − | 0.840563i | \(-0.682224\pi\) | ||||
−0.541714 | + | 0.840563i | \(0.682224\pi\) | |||||||
\(618\) | 4.71574 | − | 14.5136i | 0.189695 | − | 0.583821i | ||||
\(619\) | 17.0393 | − | 12.3798i | 0.684866 | − | 0.497584i | −0.190102 | − | 0.981764i | \(-0.560882\pi\) |
0.874968 | + | 0.484180i | \(0.160882\pi\) | |||||||
\(620\) | −18.5554 | − | 13.4813i | −0.745202 | − | 0.541421i | ||||
\(621\) | 1.01552 | + | 3.12546i | 0.0407515 | + | 0.125420i | ||||
\(622\) | −4.91651 | − | 15.1315i | −0.197134 | − | 0.606716i | ||||
\(623\) | 36.0690 | + | 26.2057i | 1.44507 | + | 1.04991i | ||||
\(624\) | −3.70906 | + | 2.69479i | −0.148481 | + | 0.107878i | ||||
\(625\) | −7.86389 | + | 24.2026i | −0.314556 | + | 0.968103i | ||||
\(626\) | 28.8687 | 1.15383 | ||||||||
\(627\) | −15.9872 | − | 5.59187i | −0.638467 | − | 0.223318i | ||||
\(628\) | 32.4834 | 1.29623 | ||||||||
\(629\) | −0.535738 | + | 1.64883i | −0.0213613 | + | 0.0657433i | ||||
\(630\) | 11.6754 | − | 8.48270i | 0.465160 | − | 0.337959i | ||||
\(631\) | −32.7029 | − | 23.7601i | −1.30188 | − | 0.945874i | −0.301911 | − | 0.953336i | \(-0.597625\pi\) |
−0.999972 | + | 0.00746251i | \(0.997625\pi\) | |||||||
\(632\) | 0.407584 | + | 1.25442i | 0.0162128 | + | 0.0498980i | ||||
\(633\) | −3.76116 | − | 11.5757i | −0.149493 | − | 0.460092i | ||||
\(634\) | −53.6587 | − | 38.9853i | −2.13106 | − | 1.54831i | ||||
\(635\) | −28.9316 | + | 21.0201i | −1.14812 | + | 0.834156i | ||||
\(636\) | −3.39272 | + | 10.4417i | −0.134530 | + | 0.414041i | ||||
\(637\) | 4.22455 | 0.167383 | ||||||||
\(638\) | −31.8976 | − | 46.0288i | −1.26284 | − | 1.82230i | ||||
\(639\) | 7.35130 | 0.290813 | ||||||||
\(640\) | 3.72614 | − | 11.4679i | 0.147289 | − | 0.453308i | ||||
\(641\) | 10.0751 | − | 7.31998i | 0.397942 | − | 0.289122i | −0.370760 | − | 0.928729i | \(-0.620903\pi\) |
0.768702 | + | 0.639607i | \(0.220903\pi\) | |||||||
\(642\) | −27.2400 | − | 19.7910i | −1.07508 | − | 0.781089i | ||||
\(643\) | −11.5986 | − | 35.6967i | −0.457403 | − | 1.40774i | −0.868291 | − | 0.496055i | \(-0.834781\pi\) |
0.410888 | − | 0.911686i | \(-0.365219\pi\) | |||||||
\(644\) | 5.59501 | + | 17.2197i | 0.220474 | + | 0.678550i | ||||
\(645\) | 8.45654 | + | 6.14404i | 0.332976 | + | 0.241921i | ||||
\(646\) | 17.2960 | − | 12.5663i | 0.680502 | − | 0.494414i | ||||
\(647\) | 7.92032 | − | 24.3762i | 0.311380 | − | 0.958329i | −0.665839 | − | 0.746095i | \(-0.731926\pi\) |
0.977219 | − | 0.212234i | \(-0.0680738\pi\) | |||||||
\(648\) | −0.678719 | −0.0266626 | ||||||||
\(649\) | 15.6671 | − | 20.5821i | 0.614987 | − | 0.807917i | ||||
\(650\) | 0.174263 | 0.00683516 | ||||||||
\(651\) | 6.39940 | − | 19.6953i | 0.250812 | − | 0.771920i | ||||
\(652\) | −2.10972 | + | 1.53280i | −0.0826232 | + | 0.0600293i | ||||
\(653\) | −10.9927 | − | 7.98669i | −0.430179 | − | 0.312543i | 0.351541 | − | 0.936172i | \(-0.385658\pi\) |
−0.781721 | + | 0.623629i | \(0.785658\pi\) | |||||||
\(654\) | −0.393321 | − | 1.21052i | −0.0153801 | − | 0.0473350i | ||||
\(655\) | −1.18350 | − | 3.64244i | −0.0462433 | − | 0.142322i | ||||
\(656\) | 39.3948 | + | 28.6220i | 1.53811 | + | 1.11750i | ||||
\(657\) | 5.38726 | − | 3.91407i | 0.210177 | − | 0.152703i | ||||
\(658\) | −3.30768 | + | 10.1800i | −0.128947 | + | 0.396857i | ||||
\(659\) | −25.9101 | −1.00932 | −0.504658 | − | 0.863320i | \(-0.668381\pi\) | ||||
−0.504658 | + | 0.863320i | \(0.668381\pi\) | |||||||
\(660\) | 11.7862 | − | 3.54086i | 0.458776 | − | 0.137828i | ||||
\(661\) | 4.26134 | 0.165747 | 0.0828734 | − | 0.996560i | \(-0.473590\pi\) | ||||
0.0828734 | + | 0.996560i | \(0.473590\pi\) | |||||||
\(662\) | 10.8675 | − | 33.4468i | 0.422379 | − | 1.29995i | ||||
\(663\) | −1.77415 | + | 1.28900i | −0.0689023 | + | 0.0500604i | ||||
\(664\) | −8.97987 | − | 6.52426i | −0.348486 | − | 0.253190i | ||||
\(665\) | −11.9294 | − | 36.7149i | −0.462602 | − | 1.42374i | ||||
\(666\) | 0.466377 | + | 1.43536i | 0.0180718 | + | 0.0556191i | ||||
\(667\) | 23.5151 | + | 17.0847i | 0.910508 | + | 0.661523i | ||||
\(668\) | 27.4650 | − | 19.9545i | 1.06265 | − | 0.772063i | ||||
\(669\) | 8.43408 | − | 25.9574i | 0.326080 | − | 1.00357i | ||||
\(670\) | 47.0047 | 1.81595 | ||||||||
\(671\) | 1.78563 | − | 0.536449i | 0.0689335 | − | 0.0207094i | ||||
\(672\) | −24.7752 | −0.955723 | ||||||||
\(673\) | −5.92129 | + | 18.2238i | −0.228249 | + | 0.702478i | 0.769697 | + | 0.638410i | \(0.220407\pi\) |
−0.997946 | + | 0.0640680i | \(0.979593\pi\) | |||||||
\(674\) | 11.7225 | − | 8.51692i | 0.451535 | − | 0.328059i | ||||
\(675\) | 0.0738492 | + | 0.0536546i | 0.00284246 | + | 0.00206517i | ||||
\(676\) | 0.508170 | + | 1.56399i | 0.0195450 | + | 0.0601533i | ||||
\(677\) | 9.56166 | + | 29.4278i | 0.367484 | + | 1.13100i | 0.948411 | + | 0.317045i | \(0.102690\pi\) |
−0.580926 | + | 0.813956i | \(0.697310\pi\) | |||||||
\(678\) | 22.8556 | + | 16.6055i | 0.877762 | + | 0.637732i | ||||
\(679\) | −5.95038 | + | 4.32320i | −0.228355 | + | 0.165909i | ||||
\(680\) | 1.03781 | − | 3.19406i | 0.0397983 | − | 0.122486i | ||||
\(681\) | 9.89381 | 0.379132 | ||||||||
\(682\) | 23.7047 | − | 31.1413i | 0.907701 | − | 1.19246i | ||||
\(683\) | −9.03127 | −0.345572 | −0.172786 | − | 0.984959i | \(-0.555277\pi\) | ||||
−0.172786 | + | 0.984959i | \(0.555277\pi\) | |||||||
\(684\) | 2.59506 | − | 7.98677i | 0.0992245 | − | 0.305382i | ||||
\(685\) | −38.1278 | + | 27.7015i | −1.45679 | + | 1.05842i | ||||
\(686\) | −14.3613 | − | 10.4341i | −0.548316 | − | 0.398375i | ||||
\(687\) | −4.93224 | − | 15.1799i | −0.188177 | − | 0.579148i | ||||
\(688\) | −6.56312 | − | 20.1992i | −0.250217 | − | 0.770088i | ||||
\(689\) | −5.40128 | − | 3.92426i | −0.205772 | − | 0.149502i | ||||
\(690\) | −11.4524 | + | 8.32064i | −0.435985 | + | 0.316761i | ||||
\(691\) | −5.54213 | + | 17.0569i | −0.210833 | + | 0.648876i | 0.788591 | + | 0.614918i | \(0.210811\pi\) |
−0.999423 | + | 0.0339575i | \(0.989189\pi\) | |||||||
\(692\) | 25.1250 | 0.955109 | ||||||||
\(693\) | 6.32911 | + | 9.13304i | 0.240423 | + | 0.346935i | ||||
\(694\) | 35.9968 | 1.36642 | ||||||||
\(695\) | 8.16358 | − | 25.1249i | 0.309662 | − | 0.953042i | ||||
\(696\) | −4.85657 | + | 3.52850i | −0.184088 | + | 0.133748i | ||||
\(697\) | 18.8436 | + | 13.6907i | 0.713753 | + | 0.518572i | ||||
\(698\) | 18.8660 | + | 58.0635i | 0.714087 | + | 2.19773i | ||||
\(699\) | −2.11808 | − | 6.51877i | −0.0801131 | − | 0.246563i | ||||
\(700\) | 0.406871 | + | 0.295609i | 0.0153783 | + | 0.0111730i | ||||
\(701\) | 17.0675 | − | 12.4003i | 0.644631 | − | 0.468352i | −0.216807 | − | 0.976215i | \(-0.569564\pi\) |
0.861438 | + | 0.507862i | \(0.169564\pi\) | |||||||
\(702\) | −0.589929 | + | 1.81561i | −0.0222654 | + | 0.0685260i | ||||
\(703\) | 4.03716 | 0.152264 | ||||||||
\(704\) | −15.4902 | − | 5.41804i | −0.583809 | − | 0.204200i | ||||
\(705\) | −3.77618 | −0.142219 | ||||||||
\(706\) | −1.68953 | + | 5.19984i | −0.0635863 | + | 0.195699i | ||||
\(707\) | −22.0240 | + | 16.0014i | −0.828299 | + | 0.601795i | ||||
\(708\) | 10.3759 | + | 7.53855i | 0.389951 | + | 0.283316i | ||||
\(709\) | 2.96569 | + | 9.12745i | 0.111379 | + | 0.342789i | 0.991175 | − | 0.132563i | \(-0.0423208\pi\) |
−0.879796 | + | 0.475352i | \(0.842321\pi\) | |||||||
\(710\) | 9.78538 | + | 30.1163i | 0.367239 | + | 1.13024i | ||||
\(711\) | 1.57218 | + | 1.14226i | 0.0589614 | + | 0.0428380i | ||||
\(712\) | 7.30701 | − | 5.30885i | 0.273842 | − | 0.198958i | ||||
\(713\) | −6.27714 | + | 19.3190i | −0.235081 | + | 0.723504i | ||||
\(714\) | −14.0260 | −0.524911 | ||||||||
\(715\) | −0.166962 | + | 7.48173i | −0.00624401 | + | 0.279801i | ||||
\(716\) | −11.0304 | −0.412227 | ||||||||
\(717\) | 0.961868 | − | 2.96032i | 0.0359216 | − | 0.110555i | ||||
\(718\) | 38.1050 | − | 27.6849i | 1.42207 | − | 1.03319i | ||||
\(719\) | −5.46434 | − | 3.97008i | −0.203786 | − | 0.148059i | 0.481212 | − | 0.876604i | \(-0.340197\pi\) |
−0.684998 | + | 0.728545i | \(0.740197\pi\) | |||||||
\(720\) | −3.19671 | − | 9.83845i | −0.119134 | − | 0.366657i | ||||
\(721\) | 8.27594 | + | 25.4707i | 0.308212 | + | 0.948579i | ||||
\(722\) | −10.9318 | − | 7.94242i | −0.406840 | − | 0.295586i | ||||
\(723\) | −23.3777 | + | 16.9849i | −0.869425 | + | 0.631674i | ||||
\(724\) | 10.2572 | − | 31.5685i | 0.381207 | − | 1.17323i | ||||
\(725\) | 0.807365 | 0.0299848 | ||||||||
\(726\) | 5.59183 | + | 20.2414i | 0.207532 | + | 0.751227i | ||||
\(727\) | −31.9910 | −1.18648 | −0.593241 | − | 0.805025i | \(-0.702152\pi\) | ||||
−0.593241 | + | 0.805025i | \(0.702152\pi\) | |||||||
\(728\) | 0.702679 | − | 2.16262i | 0.0260430 | − | 0.0801521i | ||||
\(729\) | −0.809017 | + | 0.587785i | −0.0299636 | + | 0.0217698i | ||||
\(730\) | 23.2059 | + | 16.8601i | 0.858890 | + | 0.624020i | ||||
\(731\) | −3.13933 | − | 9.66185i | −0.116112 | − | 0.357357i | ||||
\(732\) | 0.285672 | + | 0.879209i | 0.0105588 | + | 0.0324965i | ||||
\(733\) | −17.1617 | − | 12.4687i | −0.633882 | − | 0.460542i | 0.223861 | − | 0.974621i | \(-0.428134\pi\) |
−0.857743 | + | 0.514079i | \(0.828134\pi\) | |||||||
\(734\) | 31.0710 | − | 22.5744i | 1.14685 | − | 0.833235i | ||||
\(735\) | −2.94562 | + | 9.06568i | −0.108651 | + | 0.334393i | ||||
\(736\) | 24.3019 | 0.895778 | ||||||||
\(737\) | −0.807446 | + | 36.1825i | −0.0297427 | + | 1.33280i | ||||
\(738\) | 20.2764 | 0.746386 | ||||||||
\(739\) | −5.16039 | + | 15.8820i | −0.189828 | + | 0.584230i | −0.999998 | − | 0.00196441i | \(-0.999375\pi\) |
0.810170 | + | 0.586195i | \(0.199375\pi\) | |||||||
\(740\) | −2.37321 | + | 1.72424i | −0.0872408 | + | 0.0633842i | ||||
\(741\) | 4.13138 | + | 3.00163i | 0.151770 | + | 0.110268i | ||||
\(742\) | −13.1954 | − | 40.6113i | −0.484419 | − | 1.49089i | ||||
\(743\) | 0.762546 | + | 2.34688i | 0.0279751 | + | 0.0860985i | 0.964069 | − | 0.265651i | \(-0.0855869\pi\) |
−0.936094 | + | 0.351750i | \(0.885587\pi\) | |||||||
\(744\) | −3.39406 | − | 2.46593i | −0.124432 | − | 0.0904054i | ||||
\(745\) | 14.9353 | − | 10.8511i | 0.547186 | − | 0.397554i | ||||
\(746\) | −7.48902 | + | 23.0488i | −0.274192 | + | 0.843877i | ||||
\(747\) | −16.3539 | −0.598359 | ||||||||
\(748\) | −11.2900 | − | 3.94892i | −0.412803 | − | 0.144387i | ||||
\(749\) | 59.0903 | 2.15911 | ||||||||
\(750\) | 6.53403 | − | 20.1097i | 0.238589 | − | 0.734302i | ||||
\(751\) | −18.0223 | + | 13.0940i | −0.657643 | + | 0.477806i | −0.865866 | − | 0.500276i | \(-0.833232\pi\) |
0.208223 | + | 0.978081i | \(0.433232\pi\) | |||||||
\(752\) | 6.20731 | + | 4.50987i | 0.226357 | + | 0.164458i | ||||
\(753\) | −0.830853 | − | 2.55710i | −0.0302779 | − | 0.0931859i | ||||
\(754\) | 5.21773 | + | 16.0585i | 0.190018 | + | 0.584817i | ||||
\(755\) | −1.16481 | − | 0.846287i | −0.0423919 | − | 0.0307995i | ||||
\(756\) | −4.45727 | + | 3.23840i | −0.162109 | + | 0.117779i | ||||
\(757\) | −15.3639 | + | 47.2851i | −0.558410 | + | 1.71861i | 0.128355 | + | 0.991728i | \(0.459030\pi\) |
−0.686765 | + | 0.726880i | \(0.740970\pi\) | |||||||
\(758\) | 31.8682 | 1.15751 | ||||||||
\(759\) | −6.20820 | − | 8.95856i | −0.225343 | − | 0.325175i | ||||
\(760\) | −7.82063 | −0.283684 | ||||||||
\(761\) | 10.5578 | − | 32.4937i | 0.382721 | − | 1.17789i | −0.555399 | − | 0.831584i | \(-0.687435\pi\) |
0.938120 | − | 0.346310i | \(-0.112565\pi\) | |||||||
\(762\) | 24.4781 | − | 17.7843i | 0.886746 | − | 0.644259i | ||||
\(763\) | 1.80713 | + | 1.31296i | 0.0654225 | + | 0.0475322i | ||||
\(764\) | −1.25855 | − | 3.87342i | −0.0455327 | − | 0.140135i | ||||
\(765\) | −1.52907 | − | 4.70601i | −0.0552838 | − | 0.170146i | ||||
\(766\) | −1.54634 | − | 1.12348i | −0.0558714 | − | 0.0405930i | ||||
\(767\) | −6.30958 | + | 4.58418i | −0.227826 | + | 0.165525i | ||||
\(768\) | −6.21054 | + | 19.1141i | −0.224104 | + | 0.689720i | ||||
\(769\) | −41.2931 | −1.48907 | −0.744533 | − | 0.667586i | \(-0.767328\pi\) | ||||
−0.744533 | + | 0.667586i | \(0.767328\pi\) | |||||||
\(770\) | −28.9909 | + | 38.0857i | −1.04476 | + | 1.37251i | ||||
\(771\) | 5.38989 | 0.194112 | ||||||||
\(772\) | −6.28214 | + | 19.3344i | −0.226099 | + | 0.695862i | ||||
\(773\) | −3.71735 | + | 2.70082i | −0.133704 | + | 0.0971416i | −0.652627 | − | 0.757679i | \(-0.726333\pi\) |
0.518923 | + | 0.854821i | \(0.326333\pi\) | |||||||
\(774\) | −7.15478 | − | 5.19826i | −0.257173 | − | 0.186847i | ||||
\(775\) | 0.174358 | + | 0.536620i | 0.00626313 | + | 0.0192759i | ||||
\(776\) | 0.460442 | + | 1.41709i | 0.0165289 | + | 0.0508707i | ||||
\(777\) | −2.14279 | − | 1.55683i | −0.0768722 | − | 0.0558509i | ||||
\(778\) | −15.8231 | + | 11.4962i | −0.567286 | + | 0.412158i | ||||
\(779\) | 16.7608 | − | 51.5844i | 0.600518 | − | 1.84820i | ||||
\(780\) | −3.71057 | −0.132860 | ||||||||
\(781\) | −23.3505 | + | 7.01509i | −0.835547 | + | 0.251020i | ||||
\(782\) | 13.7581 | 0.491987 | ||||||||
\(783\) | −2.73315 | + | 8.41178i | −0.0976750 | + | 0.300613i | ||||
\(784\) | 15.6691 | − | 11.3843i | 0.559612 | − | 0.406582i | ||||
\(785\) | −36.0583 | − | 26.1979i | −1.28698 | − | 0.935043i | ||||
\(786\) | 1.00132 | + | 3.08175i | 0.0357159 | + | 0.109922i | ||||
\(787\) | 7.80537 | + | 24.0225i | 0.278232 | + | 0.856309i | 0.988346 | + | 0.152223i | \(0.0486431\pi\) |
−0.710115 | + | 0.704086i | \(0.751357\pi\) | |||||||
\(788\) | 14.7893 | + | 10.7451i | 0.526848 | + | 0.382777i | ||||
\(789\) | −12.9696 | + | 9.42300i | −0.461732 | + | 0.335468i | ||||
\(790\) | −2.58677 | + | 7.96127i | −0.0920333 | + | 0.283249i | ||||
\(791\) | −49.5794 | −1.76284 | ||||||||
\(792\) | 2.15587 | − | 0.647678i | 0.0766054 | − | 0.0230142i | ||||
\(793\) | −0.562159 | −0.0199629 | ||||||||
\(794\) | −8.70081 | + | 26.7783i | −0.308780 | + | 0.950328i | ||||
\(795\) | 12.1874 | − | 8.85465i | 0.432242 | − | 0.314042i | ||||
\(796\) | −5.07194 | − | 3.68498i | −0.179770 | − | 0.130611i | ||||
\(797\) | 7.79532 | + | 23.9915i | 0.276124 | + | 0.849823i | 0.988920 | + | 0.148451i | \(0.0474288\pi\) |
−0.712795 | + | 0.701372i | \(0.752571\pi\) | |||||||
\(798\) | 10.0930 | + | 31.0632i | 0.357290 | + | 1.09963i | ||||
\(799\) | 2.96913 | + | 2.15720i | 0.105040 | + | 0.0763162i | ||||
\(800\) | 0.546107 | − | 0.396770i | 0.0193078 | − | 0.0140279i | ||||
\(801\) | 4.11220 | − | 12.6561i | 0.145298 | − | 0.447180i | ||||
\(802\) | 44.8475 | 1.58362 | ||||||||
\(803\) | −13.3769 | + | 17.5735i | −0.472061 | + | 0.620154i | ||||
\(804\) | −17.9447 | −0.632862 | ||||||||
\(805\) | 7.67693 | − | 23.6272i | 0.270576 | − | 0.832748i | ||||
\(806\) | −9.54656 | + | 6.93599i | −0.336263 | + | 0.244310i | ||||
\(807\) | 1.78757 | + | 1.29874i | 0.0629253 | + | 0.0457179i | ||||
\(808\) | 1.70423 | + | 5.24507i | 0.0599545 | + | 0.184521i | ||||
\(809\) | −13.3194 | − | 40.9928i | −0.468284 | − | 1.44123i | −0.854805 | − | 0.518949i | \(-0.826323\pi\) |
0.386521 | − | 0.922280i | \(-0.373677\pi\) | |||||||
\(810\) | −3.48489 | − | 2.53192i | −0.122446 | − | 0.0889625i | ||||
\(811\) | 5.72690 | − | 4.16083i | 0.201099 | − | 0.146107i | −0.482679 | − | 0.875798i | \(-0.660336\pi\) |
0.683777 | + | 0.729691i | \(0.260336\pi\) | |||||||
\(812\) | −15.0583 | + | 46.3446i | −0.528442 | + | 1.62638i | ||||
\(813\) | 17.7617 | 0.622930 | ||||||||
\(814\) | −2.85111 | − | 4.11420i | −0.0999312 | − | 0.144203i | ||||
\(815\) | 3.57812 | 0.125336 | ||||||||
\(816\) | −3.10686 | + | 9.56193i | −0.108762 | + | 0.334734i | ||||
\(817\) | −19.1389 | + | 13.9052i | −0.669586 | + | 0.486483i | ||||
\(818\) | −5.03132 | − | 3.65547i | −0.175916 | − | 0.127810i | ||||
\(819\) | −1.03530 | − | 3.18633i | −0.0361764 | − | 0.111339i | ||||
\(820\) | 12.1786 | + | 37.4818i | 0.425295 | + | 1.30892i | ||||
\(821\) | 20.1175 | + | 14.6162i | 0.702104 | + | 0.510108i | 0.880617 | − | 0.473829i | \(-0.157129\pi\) |
−0.178513 | + | 0.983938i | \(0.557129\pi\) | |||||||
\(822\) | 32.2586 | − | 23.4372i | 1.12515 | − | 0.817468i | ||||
\(823\) | 10.9988 | − | 33.8510i | 0.383395 | − | 1.17997i | −0.554242 | − | 0.832356i | \(-0.686992\pi\) |
0.937638 | − | 0.347614i | \(-0.113008\pi\) | |||||||
\(824\) | 5.42551 | 0.189006 | ||||||||
\(825\) | −0.285774 | − | 0.0999555i | −0.00994936 | − | 0.00348001i | ||||
\(826\) | −49.8821 | −1.73562 | ||||||||
\(827\) | 1.45076 | − | 4.46497i | 0.0504477 | − | 0.155262i | −0.922659 | − | 0.385617i | \(-0.873989\pi\) |
0.973107 | + | 0.230355i | \(0.0739887\pi\) | |||||||
\(828\) | 4.37212 | − | 3.17653i | 0.151942 | − | 0.110392i | ||||
\(829\) | 3.60352 | + | 2.61811i | 0.125155 | + | 0.0909308i | 0.648602 | − | 0.761128i | \(-0.275354\pi\) |
−0.523447 | + | 0.852059i | \(0.675354\pi\) | |||||||
\(830\) | −21.7689 | − | 66.9977i | −0.755608 | − | 2.32552i | ||||
\(831\) | −7.88320 | − | 24.2620i | −0.273465 | − | 0.841640i | ||||
\(832\) | 4.00295 | + | 2.90832i | 0.138777 | + | 0.100828i | ||||
\(833\) | 7.49498 | − | 5.44542i | 0.259686 | − | 0.188673i | ||||
\(834\) | −6.90692 | + | 21.2573i | −0.239167 | + | 0.736080i | ||||
\(835\) | −46.5810 | −1.61200 | ||||||||
\(836\) | −0.621395 | + | 27.8454i | −0.0214914 | + | 0.963052i | ||||
\(837\) | −6.18119 | −0.213653 | ||||||||
\(838\) | 0.317870 | − | 0.978302i | 0.0109806 | − | 0.0337949i | ||||
\(839\) | 7.34459 | − | 5.33616i | 0.253564 | − | 0.184225i | −0.453741 | − | 0.891134i | \(-0.649911\pi\) |
0.707305 | + | 0.706909i | \(0.249911\pi\) | |||||||
\(840\) | 4.15093 | + | 3.01583i | 0.143221 | + | 0.104056i | ||||
\(841\) | 15.2124 | + | 46.8188i | 0.524564 | + | 1.61444i | ||||
\(842\) | −1.67558 | − | 5.15689i | −0.0577442 | − | 0.177718i | ||||
\(843\) | −3.02775 | − | 2.19979i | −0.104281 | − | 0.0757647i | ||||
\(844\) | −16.1929 | + | 11.7648i | −0.557382 | + | 0.404962i | ||||
\(845\) | 0.697262 | − | 2.14595i | 0.0239865 | − | 0.0738230i | ||||
\(846\) | 3.19489 | 0.109843 | ||||||||
\(847\) | −28.8190 | − | 22.9703i | −0.990232 | − | 0.789270i | ||||
\(848\) | −30.6088 | −1.05111 | ||||||||
\(849\) | −6.86880 | + | 21.1400i | −0.235737 | + | 0.725523i | ||||
\(850\) | 0.309169 | − | 0.224624i | 0.0106044 | − | 0.00770455i | ||||
\(851\) | 2.10185 | + | 1.52709i | 0.0720506 | + | 0.0523478i | ||||
\(852\) | −3.73571 | − | 11.4973i | −0.127983 | − | 0.393892i | ||||
\(853\) | 3.54761 | + | 10.9184i | 0.121468 | + | 0.373839i | 0.993241 | − | 0.116070i | \(-0.0370298\pi\) |
−0.871773 | + | 0.489910i | \(0.837030\pi\) | |||||||
\(854\) | −2.90883 | − | 2.11339i | −0.0995382 | − | 0.0723187i | ||||
\(855\) | −9.32200 | + | 6.77283i | −0.318806 | + | 0.231626i | ||||
\(856\) | 3.69917 | − | 11.3849i | 0.126435 | − | 0.389127i | ||||
\(857\) | −39.6150 | −1.35322 | −0.676611 | − | 0.736340i | \(-0.736552\pi\) | ||||
−0.676611 | + | 0.736340i | \(0.736552\pi\) | |||||||
\(858\) | 0.141260 | − | 6.33003i | 0.00482255 | − | 0.216104i | ||||
\(859\) | −12.5839 | −0.429357 | −0.214679 | − | 0.976685i | \(-0.568870\pi\) | ||||
−0.214679 | + | 0.976685i | \(0.568870\pi\) | |||||||
\(860\) | 5.31183 | − | 16.3481i | 0.181132 | − | 0.557467i | ||||
\(861\) | −28.7883 | + | 20.9159i | −0.981103 | + | 0.712813i | ||||
\(862\) | 34.0540 | + | 24.7417i | 1.15988 | + | 0.842705i | ||||
\(863\) | −0.446471 | − | 1.37410i | −0.0151980 | − | 0.0467748i | 0.943170 | − | 0.332311i | \(-0.107828\pi\) |
−0.958368 | + | 0.285536i | \(0.907828\pi\) | |||||||
\(864\) | 2.28515 | + | 7.03297i | 0.0777424 | + | 0.239266i | ||||
\(865\) | −27.8901 | − | 20.2634i | −0.948293 | − | 0.688975i | ||||
\(866\) | −38.3583 | + | 27.8689i | −1.30347 | + | 0.947025i | ||||
\(867\) | 3.76719 | − | 11.5942i | 0.127941 | − | 0.393760i | ||||
\(868\) | −34.0552 | −1.15591 | ||||||||
\(869\) | −6.08386 | − | 2.12796i | −0.206381 | − | 0.0721862i | ||||
\(870\) | −38.0989 | −1.29167 | ||||||||
\(871\) | 3.37204 | − | 10.3781i | 0.114257 | − | 0.351648i | ||||
\(872\) | 0.366096 | − | 0.265984i | 0.0123976 | − | 0.00900736i | ||||
\(873\) | 1.77607 | + | 1.29039i | 0.0601109 | + | 0.0436731i | ||||
\(874\) | −9.90022 | − | 30.4698i | −0.334880 | − | 1.03065i | ||||
\(875\) | 11.4670 | + | 35.2917i | 0.387654 | + | 1.19308i | ||||
\(876\) | −8.85921 | − | 6.43659i | −0.299325 | − | 0.217472i | ||||
\(877\) | −30.3352 | + | 22.0398i | −1.02435 | + | 0.744230i | −0.967169 | − | 0.254134i | \(-0.918210\pi\) |
−0.0571762 | + | 0.998364i | \(0.518210\pi\) | |||||||
\(878\) | 6.24568 | − | 19.2222i | 0.210781 | − | 0.648718i | ||||
\(879\) | 20.6949 | 0.698023 | ||||||||
\(880\) | 19.5424 | + | 28.2001i | 0.658775 | + | 0.950626i | ||||
\(881\) | −16.8949 | −0.569203 | −0.284601 | − | 0.958646i | \(-0.591861\pi\) | ||||
−0.284601 | + | 0.958646i | \(0.591861\pi\) | |||||||
\(882\) | 2.49218 | − | 7.67016i | 0.0839162 | − | 0.258268i | ||||
\(883\) | 19.1450 | − | 13.9097i | 0.644282 | − | 0.468098i | −0.217037 | − | 0.976163i | \(-0.569639\pi\) |
0.861319 | + | 0.508065i | \(0.169639\pi\) | |||||||
\(884\) | 2.91754 | + | 2.11972i | 0.0981275 | + | 0.0712938i | ||||
\(885\) | −5.43799 | − | 16.7364i | −0.182796 | − | 0.562588i | ||||
\(886\) | −12.6855 | − | 39.0420i | −0.426179 | − | 1.31164i | ||||
\(887\) | 33.3198 | + | 24.2082i | 1.11877 | + | 0.812833i | 0.984022 | − | 0.178047i | \(-0.0569779\pi\) |
0.134747 | + | 0.990880i | \(0.456978\pi\) | |||||||
\(888\) | −0.434095 | + | 0.315389i | −0.0145673 | + | 0.0105838i | ||||
\(889\) | −16.4085 | + | 50.5002i | −0.550323 | + | 1.69372i | ||||
\(890\) | 57.3222 | 1.92145 | ||||||||
\(891\) | 2.00884 | − | 2.63904i | 0.0672987 | − | 0.0884113i | ||||
\(892\) | −44.8830 | −1.50279 | ||||||||
\(893\) | 2.64095 | − | 8.12799i | 0.0883759 | − | 0.271993i | ||||
\(894\) | −12.6362 | + | 9.18075i | −0.422619 | + | 0.307050i | ||||
\(895\) | 12.2444 | + | 8.89607i | 0.409285 | + | 0.297363i | ||||
\(896\) | −5.53261 | − | 17.0276i | −0.184832 | − | 0.568853i | ||||
\(897\) | 1.01552 | + | 3.12546i | 0.0339073 | + | 0.104356i | ||||
\(898\) | −13.5043 | − | 9.81145i | −0.450644 | − | 0.327412i | ||||
\(899\) | −44.2295 | + | 32.1346i | −1.47513 | + | 1.07175i | ||||
\(900\) | 0.0463871 | − | 0.142765i | 0.00154624 | − | 0.00475883i | ||||
\(901\) | −14.6410 | −0.487764 | ||||||||
\(902\) | −64.4056 | + | 19.3491i | −2.14447 | + | 0.644254i | ||||
\(903\) | 15.5205 | 0.516490 | ||||||||
\(904\) | −3.10377 | + | 9.55241i | −0.103230 | + | 0.317708i | ||||
\(905\) | −36.8462 | + | 26.7703i | −1.22481 | + | 0.889875i | ||||
\(906\) | 0.985508 | + | 0.716014i | 0.0327413 | + | 0.0237880i | ||||
\(907\) | −12.1205 | − | 37.3029i | −0.402453 | − | 1.23862i | −0.923003 | − | 0.384792i | \(-0.874273\pi\) |
0.520550 | − | 0.853831i | \(-0.325727\pi\) | |||||||
\(908\) | −5.02774 | − | 15.4738i | −0.166851 | − | 0.513516i | ||||
\(909\) | 6.57374 | + | 4.77610i | 0.218037 | + | 0.158413i | ||||
\(910\) | 11.6754 | − | 8.48270i | 0.387037 | − | 0.281199i | ||||
\(911\) | −13.0388 | + | 40.1293i | −0.431995 | + | 1.32954i | 0.464140 | + | 0.885762i | \(0.346363\pi\) |
−0.896135 | + | 0.443782i | \(0.853637\pi\) | |||||||
\(912\) | 23.4123 | 0.775260 | ||||||||
\(913\) | 51.9463 | − | 15.6060i | 1.71917 | − | 0.516483i | ||||
\(914\) | −77.9455 | −2.57821 | ||||||||
\(915\) | 0.391972 | − | 1.20637i | 0.0129582 | − | 0.0398812i | ||||
\(916\) | −21.2347 | + | 15.4279i | −0.701614 | + | 0.509753i | ||||
\(917\) | −4.60061 | − | 3.34254i | −0.151925 | − | 0.110380i | ||||
\(918\) | 1.29370 | + | 3.98159i | 0.0426983 | + | 0.131412i | ||||
\(919\) | −12.6133 | − | 38.8199i | −0.416076 | − | 1.28055i | −0.911285 | − | 0.411776i | \(-0.864909\pi\) |
0.495209 | − | 0.868774i | \(-0.335091\pi\) | |||||||
\(920\) | −4.07163 | − | 2.95821i | −0.134238 | − | 0.0975294i | ||||
\(921\) | −11.0937 | + | 8.06002i | −0.365549 | + | 0.265587i | ||||
\(922\) | 15.5367 | − | 47.8171i | 0.511674 | − | 1.57477i | ||||
\(923\) | 7.35130 | 0.241971 | ||||||||
\(924\) | 11.0677 | − | 14.5398i | 0.364100 | − | 0.478324i | ||||
\(925\) | 0.0721648 | 0.00237277 | ||||||||
\(926\) | −16.0071 | + | 49.2648i | −0.526026 | + | 1.61894i | ||||
\(927\) | 6.46708 | − | 4.69861i | 0.212407 | − | 0.154322i | ||||
\(928\) | 52.9141 | + | 38.4444i | 1.73699 | + | 1.26200i | ||||
\(929\) | −5.43714 | − | 16.7338i | −0.178387 | − | 0.549018i | 0.821385 | − | 0.570374i | \(-0.193202\pi\) |
−0.999772 | + | 0.0213559i | \(0.993202\pi\) | |||||||
\(930\) | −8.22783 | − | 25.3227i | −0.269801 | − | 0.830363i | ||||
\(931\) | −17.4532 | − | 12.6805i | −0.572007 | − | 0.415587i | ||||
\(932\) | −9.11893 | + | 6.62529i | −0.298701 | + | 0.217019i | ||||
\(933\) | 2.57537 | − | 7.92617i | 0.0843138 | − | 0.259491i | ||||
\(934\) | 19.9648 | 0.653269 | ||||||||
\(935\) | 9.34769 | + | 13.4889i | 0.305702 | + | 0.441135i | ||||
\(936\) | −0.678719 | −0.0221846 | ||||||||
\(937\) | −6.28243 | + | 19.3353i | −0.205238 | + | 0.631658i | 0.794466 | + | 0.607309i | \(0.207751\pi\) |
−0.999704 | + | 0.0243483i | \(0.992249\pi\) | |||||||
\(938\) | 56.4638 | − | 41.0233i | 1.84361 | − | 1.33946i | ||||
\(939\) | 12.2340 | + | 8.88850i | 0.399241 | + | 0.290065i | ||||
\(940\) | 1.91894 | + | 5.90589i | 0.0625890 | + | 0.192629i | ||||
\(941\) | 6.51388 | + | 20.0477i | 0.212346 | + | 0.653535i | 0.999331 | + | 0.0365627i | \(0.0116409\pi\) |
−0.786985 | + | 0.616972i | \(0.788359\pi\) | |||||||
\(942\) | 30.5077 | + | 22.1651i | 0.993994 | + | 0.722179i | ||||
\(943\) | 28.2383 | − | 20.5164i | 0.919567 | − | 0.668104i | ||||
\(944\) | −11.0492 | + | 34.0060i | −0.359621 | + | 1.10680i | ||||
\(945\) | 7.55959 | 0.245913 | ||||||||
\(946\) | 27.6868 | + | 9.68407i | 0.900176 | + | 0.314856i | ||||
\(947\) | −11.9553 | −0.388496 | −0.194248 | − | 0.980952i | \(-0.562227\pi\) | ||||
−0.194248 | + | 0.980952i | \(0.562227\pi\) | |||||||
\(948\) | 0.987539 | − | 3.03933i | 0.0320738 | − | 0.0987129i | ||||
\(949\) | 5.38726 | − | 3.91407i | 0.174878 | − | 0.127056i | ||||
\(950\) | −0.719948 | − | 0.523073i | −0.0233582 | − | 0.0169707i | ||||
\(951\) | −10.7361 | − | 33.0424i | −0.348143 | − | 1.07147i | ||||
\(952\) | −1.54095 | − | 4.74257i | −0.0499426 | − | 0.153707i | ||||
\(953\) | −18.1038 | − | 13.1532i | −0.586438 | − | 0.426072i | 0.254601 | − | 0.967046i | \(-0.418056\pi\) |
−0.841040 | + | 0.540974i | \(0.818056\pi\) | |||||||
\(954\) | −10.3113 | + | 7.49161i | −0.333841 | + | 0.242550i | ||||
\(955\) | −1.72686 | + | 5.31473i | −0.0558799 | + | 0.171981i | ||||
\(956\) | −5.11870 | −0.165551 | ||||||||
\(957\) | 0.654463 | − | 29.3272i | 0.0211558 | − | 0.948012i | ||||
\(958\) | 70.7282 | 2.28512 | ||||||||
\(959\) | −21.6241 | + | 66.5520i | −0.698278 | + | 2.14908i | ||||
\(960\) | −9.03221 | + | 6.56229i | −0.291513 | + | 0.211797i | ||||
\(961\) | −5.83068 | − | 4.23623i | −0.188086 | − | 0.136653i | ||||
\(962\) | 0.466377 | + | 1.43536i | 0.0150366 | + | 0.0462779i | ||||
\(963\) | −5.45022 | − | 16.7741i | −0.175631 | − | 0.540537i | ||||
\(964\) | 38.4440 | + | 27.9312i | 1.23820 | + | 0.899602i | ||||
\(965\) | 22.5668 | − | 16.3957i | 0.726451 | − | 0.527798i | ||||
\(966\) | −6.49518 | + | 19.9901i | −0.208979 | + | 0.643171i | ||||
\(967\) | −27.7406 | −0.892077 | −0.446038 | − | 0.895014i | \(-0.647166\pi\) | ||||
−0.446038 | + | 0.895014i | \(0.647166\pi\) | |||||||
\(968\) | −6.22980 | + | 4.11454i | −0.200233 | + | 0.132246i | ||||
\(969\) | 11.1988 | 0.359757 | ||||||||
\(970\) | −2.92224 | + | 8.99373i | −0.0938275 | + | 0.288771i | ||||
\(971\) | 11.5508 | − | 8.39217i | 0.370684 | − | 0.269318i | −0.386811 | − | 0.922159i | \(-0.626423\pi\) |
0.757494 | + | 0.652842i | \(0.226423\pi\) | |||||||
\(972\) | 1.33041 | + | 0.966597i | 0.0426728 | + | 0.0310036i | ||||
\(973\) | −12.1214 | − | 37.3057i | −0.388593 | − | 1.19597i | ||||
\(974\) | −22.5235 | − | 69.3201i | −0.721698 | − | 2.22116i | ||||
\(975\) | 0.0738492 | + | 0.0536546i | 0.00236507 | + | 0.00171832i | ||||
\(976\) | −2.08508 | + | 1.51490i | −0.0667419 | + | 0.0484908i | ||||
\(977\) | 7.73181 | − | 23.7961i | 0.247363 | − | 0.761304i | −0.747876 | − | 0.663838i | \(-0.768926\pi\) |
0.995239 | − | 0.0974658i | \(-0.0310736\pi\) | |||||||
\(978\) | −3.02732 | −0.0968031 | ||||||||
\(979\) | −0.984680 | + | 44.1246i | −0.0314705 | + | 1.41023i | ||||
\(980\) | 15.6755 | 0.500735 | ||||||||
\(981\) | 0.206030 | − | 0.634094i | 0.00657802 | − | 0.0202451i | ||||
\(982\) | −30.8075 | + | 22.3830i | −0.983108 | + | 0.714270i | ||||
\(983\) | 32.0543 | + | 23.2888i | 1.02237 | + | 0.742797i | 0.966768 | − | 0.255656i | \(-0.0822913\pi\) |
0.0556047 | + | 0.998453i | \(0.482291\pi\) | |||||||
\(984\) | 2.22765 | + | 6.85600i | 0.0710148 | + | 0.218561i | ||||
\(985\) | −7.75103 | − | 23.8552i | −0.246968 | − | 0.760091i | ||||
\(986\) | 29.9564 | + | 21.7646i | 0.954006 | + | 0.693126i | ||||
\(987\) | −4.53608 | + | 3.29566i | −0.144385 | + | 0.104902i | ||||
\(988\) | 2.59506 | − | 7.98677i | 0.0825598 | − | 0.254093i | ||||
\(989\) | −15.2240 | −0.484095 | ||||||||
\(990\) | 13.4854 | + | 4.71683i | 0.428595 | + | 0.149911i | ||||
\(991\) | 37.2403 | 1.18298 | 0.591488 | − | 0.806314i | \(-0.298541\pi\) | ||||
0.591488 | + | 0.806314i | \(0.298541\pi\) | |||||||
\(992\) | −14.1249 | + | 43.4721i | −0.448467 | + | 1.38024i | ||||
\(993\) | 14.9035 | − | 10.8280i | 0.472949 | − | 0.343618i | ||||
\(994\) | 38.0385 | + | 27.6366i | 1.20651 | + | 0.876580i | ||||
\(995\) | 2.65819 | + | 8.18106i | 0.0842703 | + | 0.259357i | ||||
\(996\) | 8.31058 | + | 25.5773i | 0.263331 | + | 0.810449i | ||||
\(997\) | −11.5978 | − | 8.42633i | −0.367307 | − | 0.266864i | 0.388786 | − | 0.921328i | \(-0.372894\pi\) |
−0.756093 | + | 0.654464i | \(0.772894\pi\) | |||||||
\(998\) | 4.06360 | − | 2.95238i | 0.128631 | − | 0.0934559i | ||||
\(999\) | −0.244298 | + | 0.751872i | −0.00772925 | + | 0.0237882i |
(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 | 429.2.n.c.196.6 | ✓ | 28 | |
11.4 | even | 5 | 4719.2.a.bp.1.12 | 14 | |||
11.5 | even | 5 | inner | 429.2.n.c.313.6 | yes | 28 | |
11.7 | odd | 10 | 4719.2.a.bo.1.3 | 14 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.n.c.196.6 | ✓ | 28 | 1.1 | even | 1 | trivial | |
429.2.n.c.313.6 | yes | 28 | 11.5 | even | 5 | inner | |
4719.2.a.bo.1.3 | 14 | 11.7 | odd | 10 | |||
4719.2.a.bp.1.12 | 14 | 11.4 | even | 5 |