Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [504,2,Mod(269,504)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(504, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("504.269");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 504.ch (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.02446026187\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 269.1 | ||
Character | \(\chi\) | \(=\) | 504.269 |
Dual form | 504.2.ch.b.341.1 |
$q$-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 \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41410 | + | 0.0182389i | −0.999917 | + | 0.0128969i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.99933 | − | 0.0515832i | 0.999667 | − | 0.0257916i | ||||
\(5\) | −0.785247 | + | 0.453362i | −0.351173 | + | 0.202750i | −0.665202 | − | 0.746664i | \(-0.731654\pi\) |
0.314029 | + | 0.949413i | \(0.398321\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.47043 | − | 0.947077i | −0.933736 | − | 0.357962i | ||||
\(8\) | −2.82631 | + | 0.109409i | −0.999252 | + | 0.0386820i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.10215 | − | 0.655420i | 0.348529 | − | 0.207262i | ||||
\(11\) | −0.0729337 | + | 0.126325i | −0.0219903 | + | 0.0380884i | −0.876811 | − | 0.480835i | \(-0.840334\pi\) |
0.854821 | + | 0.518923i | \(0.173667\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 6.12830 | 1.69968 | 0.849842 | − | 0.527037i | \(-0.176697\pi\) | ||||
0.849842 | + | 0.527037i | \(0.176697\pi\) | |||||||
\(14\) | 3.51070 | + | 1.29420i | 0.938275 | + | 0.345890i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.99468 | − | 0.206264i | 0.998670 | − | 0.0515660i | ||||
\(17\) | −3.00430 | + | 5.20361i | −0.728651 | + | 1.26206i | 0.228803 | + | 0.973473i | \(0.426519\pi\) |
−0.957454 | + | 0.288587i | \(0.906814\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.10516 | + | 3.64625i | 0.482957 | + | 0.836506i | 0.999809 | − | 0.0195688i | \(-0.00622934\pi\) |
−0.516851 | + | 0.856075i | \(0.672896\pi\) | |||||||
\(20\) | −1.54658 | + | 0.946928i | −0.345827 | + | 0.211740i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.100831 | − | 0.179966i | 0.0214973 | − | 0.0383688i | ||||
\(23\) | 3.20566 | − | 1.85079i | 0.668426 | − | 0.385916i | −0.127054 | − | 0.991896i | \(-0.540552\pi\) |
0.795480 | + | 0.605980i | \(0.207219\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.08893 | + | 3.61812i | −0.417785 | + | 0.723625i | ||||
\(26\) | −8.66600 | + | 0.111774i | −1.69954 | + | 0.0219206i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −4.98808 | − | 1.76609i | −0.942658 | − | 0.333760i | ||||
\(29\) | 10.2484 | 1.90309 | 0.951543 | − | 0.307515i | \(-0.0994973\pi\) | ||||
0.951543 | + | 0.307515i | \(0.0994973\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.54741 | − | 2.04810i | −0.637134 | − | 0.367849i | 0.146376 | − | 0.989229i | \(-0.453239\pi\) |
−0.783510 | + | 0.621380i | \(0.786572\pi\) | |||||||
\(32\) | −5.64510 | + | 0.364536i | −0.997921 | + | 0.0644414i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 4.15347 | − | 7.41320i | 0.712314 | − | 1.27135i | ||||
\(35\) | 2.36927 | − | 0.376312i | 0.400480 | − | 0.0636084i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.51971 | + | 1.45475i | −0.414238 | + | 0.239160i | −0.692609 | − | 0.721313i | \(-0.743539\pi\) |
0.278371 | + | 0.960474i | \(0.410205\pi\) | |||||||
\(38\) | −3.04340 | − | 5.11775i | −0.493705 | − | 0.830208i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.16975 | − | 1.36726i | 0.343067 | − | 0.216182i | ||||
\(41\) | 2.26244 | 0.353334 | 0.176667 | − | 0.984271i | \(-0.443468\pi\) | ||||
0.176667 | + | 0.984271i | \(0.443468\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 8.73882i | 1.33266i | 0.745658 | + | 0.666329i | \(0.232135\pi\) | ||||
−0.745658 | + | 0.666329i | \(0.767865\pi\) | |||||||
\(44\) | −0.139303 | + | 0.256328i | −0.0210007 | + | 0.0386429i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −4.49935 | + | 2.67566i | −0.663393 | + | 0.394505i | ||||
\(47\) | 3.58285 | + | 6.20567i | 0.522612 | + | 0.905190i | 0.999654 | + | 0.0263098i | \(0.00837564\pi\) |
−0.477042 | + | 0.878881i | \(0.658291\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.20609 | + | 4.67938i | 0.743727 | + | 0.668483i | ||||
\(50\) | 2.88795 | − | 5.15448i | 0.408418 | − | 0.728953i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 12.2525 | − | 0.316117i | 1.69912 | − | 0.0438376i | ||||
\(53\) | −1.86849 | + | 3.23632i | −0.256657 | + | 0.444543i | −0.965344 | − | 0.260980i | \(-0.915954\pi\) |
0.708687 | + | 0.705523i | \(0.249288\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 0.132262i | − | 0.0178342i | ||||||
\(56\) | 7.08583 | + | 2.40645i | 0.946884 | + | 0.321575i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −14.4923 | + | 0.186920i | −1.90293 | + | 0.0245439i | ||||
\(59\) | 6.35100 | + | 3.66675i | 0.826829 | + | 0.477370i | 0.852766 | − | 0.522293i | \(-0.174923\pi\) |
−0.0259364 | + | 0.999664i | \(0.508257\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.41070 | + | 5.90751i | 0.436696 | + | 0.756379i | 0.997432 | − | 0.0716150i | \(-0.0228153\pi\) |
−0.560737 | + | 0.827994i | \(0.689482\pi\) | |||||||
\(62\) | 5.05374 | + | 2.83151i | 0.641825 | + | 0.359602i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 7.97606 | − | 0.618449i | 0.997007 | − | 0.0773061i | ||||
\(65\) | −4.81223 | + | 2.77834i | −0.596883 | + | 0.344611i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.66978 | − | 1.54140i | −0.326166 | − | 0.188312i | 0.327972 | − | 0.944688i | \(-0.393635\pi\) |
−0.654138 | + | 0.756376i | \(0.726968\pi\) | |||||||
\(68\) | −5.73819 | + | 10.5587i | −0.695858 | + | 1.28043i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −3.34351 | + | 0.575355i | −0.399626 | + | 0.0687681i | ||||
\(71\) | − | 4.91850i | − | 0.583719i | −0.956461 | − | 0.291859i | \(-0.905726\pi\) | ||
0.956461 | − | 0.291859i | \(-0.0942739\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.67843 | + | 1.54639i | 0.313486 | + | 0.180991i | 0.648485 | − | 0.761227i | \(-0.275403\pi\) |
−0.334999 | + | 0.942218i | \(0.608736\pi\) | |||||||
\(74\) | 3.53658 | − | 2.10312i | 0.411119 | − | 0.244483i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 4.39701 | + | 7.18148i | 0.504371 | + | 0.823772i | ||||
\(77\) | 0.299817 | − | 0.243004i | 0.0341674 | − | 0.0276928i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −5.41731 | − | 9.38305i | −0.609495 | − | 1.05568i | −0.991324 | − | 0.131443i | \(-0.958039\pi\) |
0.381829 | − | 0.924233i | \(-0.375294\pi\) | |||||||
\(80\) | −3.04329 | + | 1.97300i | −0.340251 | + | 0.220589i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −3.19931 | + | 0.0412645i | −0.353305 | + | 0.00455691i | ||||
\(83\) | − | 12.8534i | − | 1.41085i | −0.708785 | − | 0.705424i | \(-0.750756\pi\) | ||
0.708785 | − | 0.705424i | \(-0.249244\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | − | 5.44815i | − | 0.590935i | ||||||
\(86\) | −0.159387 | − | 12.3575i | −0.0171871 | − | 1.33255i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.192312 | − | 0.365013i | 0.0205006 | − | 0.0389105i | ||||
\(89\) | 1.55708 | + | 2.69694i | 0.165050 | + | 0.285875i | 0.936673 | − | 0.350205i | \(-0.113888\pi\) |
−0.771623 | + | 0.636080i | \(0.780555\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −15.1396 | − | 5.80397i | −1.58706 | − | 0.608422i | ||||
\(92\) | 6.31372 | − | 3.86570i | 0.658250 | − | 0.403027i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −5.17967 | − | 8.71007i | −0.534243 | − | 0.898375i | ||||
\(95\) | −3.30614 | − | 1.90880i | −0.339203 | − | 0.195839i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 0.593803i | − | 0.0602915i | −0.999546 | − | 0.0301458i | \(-0.990403\pi\) | ||
0.999546 | − | 0.0301458i | \(-0.00959715\pi\) | |||||||
\(98\) | −7.44726 | − | 6.52214i | −0.752286 | − | 0.658836i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −3.98983 | + | 7.34160i | −0.398983 | + | 0.734160i | ||||
\(101\) | 9.65297 | + | 5.57314i | 0.960506 | + | 0.554549i | 0.896329 | − | 0.443390i | \(-0.146224\pi\) |
0.0641776 | + | 0.997938i | \(0.479558\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.41603 | + | 0.817548i | −0.139526 | + | 0.0805554i | −0.568138 | − | 0.822933i | \(-0.692336\pi\) |
0.428612 | + | 0.903489i | \(0.359003\pi\) | |||||||
\(104\) | −17.3205 | + | 0.670493i | −1.69841 | + | 0.0657472i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.58320 | − | 4.61055i | 0.250903 | − | 0.447816i | ||||
\(107\) | −7.12074 | − | 12.3335i | −0.688387 | − | 1.19232i | −0.972359 | − | 0.233489i | \(-0.924986\pi\) |
0.283972 | − | 0.958833i | \(-0.408348\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.88150 | − | 3.39568i | −0.563345 | − | 0.325247i | 0.191142 | − | 0.981562i | \(-0.438781\pi\) |
−0.754487 | + | 0.656315i | \(0.772114\pi\) | |||||||
\(110\) | 0.00241231 | + | 0.187031i | 0.000230005 | + | 0.0178327i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −10.0639 | − | 3.27371i | −0.950953 | − | 0.309336i | ||||
\(113\) | 8.54183i | 0.803548i | 0.915739 | + | 0.401774i | \(0.131606\pi\) | ||||
−0.915739 | + | 0.401774i | \(0.868394\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.67816 | + | 2.90665i | −0.156489 | + | 0.271046i | ||||
\(116\) | 20.4901 | − | 0.528647i | 1.90245 | − | 0.0490836i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −9.04780 | − | 5.06930i | −0.832917 | − | 0.466667i | ||||
\(119\) | 12.3502 | − | 10.0099i | 1.13214 | − | 0.917602i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.48936 | + | 9.50785i | 0.499033 | + | 0.864350i | ||||
\(122\) | −4.93081 | − | 8.29158i | −0.446414 | − | 0.750684i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −7.19811 | − | 3.91185i | −0.646409 | − | 0.351294i | ||||
\(125\) | − | 8.32178i | − | 0.744323i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −18.0974 | −1.60589 | −0.802944 | − | 0.596054i | \(-0.796734\pi\) | ||||
−0.802944 | + | 0.596054i | \(0.796734\pi\) | |||||||
\(128\) | −11.2676 | + | 1.02002i | −0.995927 | + | 0.0901580i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 6.75428 | − | 4.01661i | 0.592389 | − | 0.352280i | ||||
\(131\) | −8.38458 | + | 4.84084i | −0.732564 | + | 0.422946i | −0.819359 | − | 0.573280i | \(-0.805671\pi\) |
0.0867954 | + | 0.996226i | \(0.472337\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.74739 | − | 11.0016i | −0.151518 | − | 0.953957i | ||||
\(134\) | 3.80344 | + | 2.13099i | 0.328568 | + | 0.184090i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 7.92177 | − | 15.0357i | 0.679286 | − | 1.28930i | ||||
\(137\) | −9.11532 | − | 5.26273i | −0.778774 | − | 0.449625i | 0.0572215 | − | 0.998362i | \(-0.481776\pi\) |
−0.835996 | + | 0.548736i | \(0.815109\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 15.8152 | 1.34143 | 0.670715 | − | 0.741715i | \(-0.265987\pi\) | ||||
0.670715 | + | 0.741715i | \(0.265987\pi\) | |||||||
\(140\) | 4.71755 | − | 0.874589i | 0.398706 | − | 0.0739163i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.0897082 | + | 6.95523i | 0.00752814 | + | 0.583670i | ||||
\(143\) | −0.446960 | + | 0.774157i | −0.0373767 | + | 0.0647383i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −8.04755 | + | 4.64625i | −0.668312 | + | 0.385850i | ||||
\(146\) | −3.81576 | − | 2.13789i | −0.315794 | − | 0.176933i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −4.96270 | + | 3.03852i | −0.407931 | + | 0.249764i | ||||
\(149\) | −5.79849 | − | 10.0433i | −0.475031 | − | 0.822777i | 0.524560 | − | 0.851373i | \(-0.324230\pi\) |
−0.999591 | + | 0.0285960i | \(0.990896\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 7.79321 | − | 13.4982i | 0.634202 | − | 1.09847i | −0.352481 | − | 0.935819i | \(-0.614662\pi\) |
0.986684 | − | 0.162652i | \(-0.0520047\pi\) | |||||||
\(152\) | −6.34877 | − | 10.0751i | −0.514953 | − | 0.817199i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.419538 | + | 0.349099i | −0.0338074 | + | 0.0281312i | ||||
\(155\) | 3.71412 | 0.298326 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.66733 | − | 11.5482i | 0.532111 | − | 0.921643i | −0.467186 | − | 0.884159i | \(-0.654732\pi\) |
0.999297 | − | 0.0374841i | \(-0.0119344\pi\) | |||||||
\(158\) | 7.83173 | + | 13.1697i | 0.623059 | + | 1.04773i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 4.26753 | − | 2.84552i | 0.337378 | − | 0.224958i | ||||
\(161\) | −9.67221 | + | 1.53624i | −0.762277 | + | 0.121073i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −14.7888 | + | 8.53830i | −1.15835 | + | 0.668771i | −0.950907 | − | 0.309477i | \(-0.899846\pi\) |
−0.207439 | + | 0.978248i | \(0.566513\pi\) | |||||||
\(164\) | 4.52338 | − | 0.116704i | 0.353217 | − | 0.00911305i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.234433 | + | 18.1760i | 0.0181955 | + | 1.41073i | ||||
\(167\) | −1.64523 | −0.127312 | −0.0636558 | − | 0.997972i | \(-0.520276\pi\) | ||||
−0.0636558 | + | 0.997972i | \(0.520276\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 24.5561 | 1.88893 | ||||||||
\(170\) | 0.0993685 | + | 7.70421i | 0.00762121 | + | 0.590886i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.450776 | + | 17.4718i | 0.0343714 | + | 1.33221i | ||||
\(173\) | −7.80851 | + | 4.50825i | −0.593670 | + | 0.342756i | −0.766547 | − | 0.642188i | \(-0.778027\pi\) |
0.172877 | + | 0.984943i | \(0.444694\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 8.58720 | − | 6.95996i | 0.649131 | − | 0.526124i | ||||
\(176\) | −0.265290 | + | 0.519671i | −0.0199970 | + | 0.0391717i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −2.25105 | − | 3.78533i | −0.168723 | − | 0.283723i | ||||
\(179\) | −7.30700 | + | 12.6561i | −0.546151 | + | 0.945961i | 0.452383 | + | 0.891824i | \(0.350574\pi\) |
−0.998534 | + | 0.0541368i | \(0.982759\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.198456 | 0.0147511 | 0.00737556 | − | 0.999973i | \(-0.497652\pi\) | ||||
0.00737556 | + | 0.999973i | \(0.497652\pi\) | |||||||
\(182\) | 21.5147 | + | 7.93125i | 1.59477 | + | 0.587903i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −8.85769 | + | 5.58163i | −0.652998 | + | 0.411483i | ||||
\(185\) | 1.31906 | − | 2.28468i | 0.0969793 | − | 0.167973i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.438230 | − | 0.759037i | −0.0320466 | − | 0.0555063i | ||||
\(188\) | 7.48342 | + | 12.2224i | 0.545784 | + | 0.891410i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 4.71002 | + | 2.63893i | 0.341700 | + | 0.191448i | ||||
\(191\) | −0.169619 | + | 0.0979296i | −0.0122732 | + | 0.00708594i | −0.506124 | − | 0.862461i | \(-0.668922\pi\) |
0.493851 | + | 0.869547i | \(0.335589\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 5.03614 | − | 8.72285i | 0.362509 | − | 0.627884i | −0.625864 | − | 0.779932i | \(-0.715254\pi\) |
0.988373 | + | 0.152048i | \(0.0485868\pi\) | |||||||
\(194\) | 0.0108303 | + | 0.839694i | 0.000777572 | + | 0.0602865i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 10.6501 | + | 9.08711i | 0.760721 | + | 0.649079i | ||||
\(197\) | −0.981430 | −0.0699240 | −0.0349620 | − | 0.999389i | \(-0.511131\pi\) | ||||
−0.0349620 | + | 0.999389i | \(0.511131\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1.90703 | − | 1.10102i | −0.135185 | − | 0.0780494i | 0.430882 | − | 0.902408i | \(-0.358203\pi\) |
−0.566067 | + | 0.824359i | \(0.691536\pi\) | |||||||
\(200\) | 5.50809 | − | 10.4545i | 0.389481 | − | 0.739244i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −13.7519 | − | 7.70490i | −0.967578 | − | 0.542115i | ||||
\(203\) | −25.3181 | − | 9.70606i | −1.77698 | − | 0.681232i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.77658 | + | 1.02571i | −0.124081 | + | 0.0716385i | ||||
\(206\) | 1.98750 | − | 1.18192i | 0.138476 | − | 0.0823482i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 24.4806 | − | 1.26405i | 1.69742 | − | 0.0876460i | ||||
\(209\) | −0.614149 | −0.0424816 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 17.7696i | − | 1.22331i | −0.791125 | − | 0.611654i | \(-0.790504\pi\) | ||
0.791125 | − | 0.611654i | \(-0.209496\pi\) | |||||||
\(212\) | −3.56880 | + | 6.56688i | −0.245106 | + | 0.451015i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 10.2944 | + | 17.3108i | 0.703707 | + | 1.18334i | ||||
\(215\) | −3.96185 | − | 6.86213i | −0.270196 | − | 0.467993i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 6.82394 | + | 8.41937i | 0.463239 | + | 0.571544i | ||||
\(218\) | 8.37893 | + | 4.69455i | 0.567493 | + | 0.317955i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.00682247 | − | 0.264435i | −0.000459971 | − | 0.0178282i | ||||
\(221\) | −18.4113 | + | 31.8893i | −1.23848 | + | 2.14510i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 20.7181i | 1.38738i | 0.720271 | + | 0.693692i | \(0.244017\pi\) | ||||
−0.720271 | + | 0.693692i | \(0.755983\pi\) | |||||||
\(224\) | 14.2911 | + | 4.44578i | 0.954863 | + | 0.297046i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.155794 | − | 12.0790i | −0.0103633 | − | 0.803481i | ||||
\(227\) | 17.3954 | + | 10.0432i | 1.15457 | + | 0.666593i | 0.949997 | − | 0.312258i | \(-0.101085\pi\) |
0.204575 | + | 0.978851i | \(0.434419\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 9.68640 | + | 16.7773i | 0.640095 | + | 1.10868i | 0.985411 | + | 0.170191i | \(0.0544385\pi\) |
−0.345316 | + | 0.938487i | \(0.612228\pi\) | |||||||
\(230\) | 2.32006 | − | 4.14089i | 0.152980 | − | 0.273042i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −28.9653 | + | 1.12127i | −1.90166 | + | 0.0736152i | ||||
\(233\) | 22.4100 | − | 12.9384i | 1.46813 | − | 0.847625i | 0.468768 | − | 0.883322i | \(-0.344698\pi\) |
0.999363 | + | 0.0356961i | \(0.0113649\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −5.62684 | − | 3.24866i | −0.367054 | − | 0.211919i | ||||
\(236\) | 12.8869 | + | 7.00346i | 0.838867 | + | 0.455886i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −17.2817 | + | 14.3802i | −1.12021 | + | 0.932127i | ||||
\(239\) | − | 11.2007i | − | 0.724512i | −0.932079 | − | 0.362256i | \(-0.882007\pi\) | ||
0.932079 | − | 0.362256i | \(-0.117993\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −23.6842 | − | 13.6741i | −1.52563 | − | 0.880825i | −0.999538 | − | 0.0303997i | \(-0.990322\pi\) |
−0.526096 | − | 0.850425i | \(-0.676345\pi\) | |||||||
\(242\) | −7.93590 | − | 13.3449i | −0.510139 | − | 0.857842i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 7.12386 | + | 11.6352i | 0.456059 | + | 0.744865i | ||||
\(245\) | −6.20952 | − | 1.31423i | −0.396712 | − | 0.0839628i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 12.9011 | + | 22.3453i | 0.820875 | + | 1.42180i | ||||
\(248\) | 10.2502 | + | 5.40044i | 0.650886 | + | 0.342929i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0.151780 | + | 11.7678i | 0.00959943 | + | 0.744261i | ||||
\(251\) | 29.0073i | 1.83092i | 0.402407 | + | 0.915461i | \(0.368174\pi\) | ||||
−0.402407 | + | 0.915461i | \(0.631826\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.539939i | 0.0339457i | ||||||||
\(254\) | 25.5915 | − | 0.330078i | 1.60575 | − | 0.0207109i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 15.9149 | − | 1.64792i | 0.994682 | − | 0.102995i | ||||
\(257\) | −6.02554 | − | 10.4365i | −0.375863 | − | 0.651014i | 0.614593 | − | 0.788845i | \(-0.289320\pi\) |
−0.990456 | + | 0.137831i | \(0.955987\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 7.60254 | − | 1.20752i | 0.472399 | − | 0.0750314i | ||||
\(260\) | −9.47794 | + | 5.80306i | −0.587797 | + | 0.359891i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 11.7683 | − | 6.99834i | 0.727048 | − | 0.432359i | ||||
\(263\) | 2.36800 | + | 1.36716i | 0.146017 | + | 0.0843029i | 0.571229 | − | 0.820791i | \(-0.306467\pi\) |
−0.425212 | + | 0.905094i | \(0.639800\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | − | 3.38842i | − | 0.208149i | ||||||
\(266\) | 2.67163 | + | 15.5254i | 0.163808 | + | 0.951923i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −5.41730 | − | 2.94406i | −0.330914 | − | 0.179837i | ||||
\(269\) | 4.45879 | + | 2.57428i | 0.271857 | + | 0.156957i | 0.629731 | − | 0.776813i | \(-0.283165\pi\) |
−0.357874 | + | 0.933770i | \(0.616498\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 21.0489 | − | 12.1526i | 1.27863 | − | 0.738216i | 0.302031 | − | 0.953298i | \(-0.402335\pi\) |
0.976596 | + | 0.215082i | \(0.0690020\pi\) | |||||||
\(272\) | −10.9279 | + | 21.4064i | −0.662602 | + | 1.29795i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 12.9859 | + | 7.27575i | 0.784508 | + | 0.439544i | ||||
\(275\) | −0.304706 | − | 0.527767i | −0.0183745 | − | 0.0318255i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.705869 | + | 0.407533i | 0.0424115 | + | 0.0244863i | 0.521056 | − | 0.853523i | \(-0.325538\pi\) |
−0.478644 | + | 0.878009i | \(0.658872\pi\) | |||||||
\(278\) | −22.3642 | + | 0.288453i | −1.34132 | + | 0.0173002i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −6.65512 | + | 1.32280i | −0.397719 | + | 0.0790522i | ||||
\(281\) | 1.06599i | 0.0635918i | 0.999494 | + | 0.0317959i | \(0.0101227\pi\) | ||||
−0.999494 | + | 0.0317959i | \(0.989877\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 3.14663 | − | 5.45012i | 0.187048 | − | 0.323976i | −0.757217 | − | 0.653164i | \(-0.773441\pi\) |
0.944265 | + | 0.329187i | \(0.106775\pi\) | |||||||
\(284\) | −0.253712 | − | 9.83373i | −0.0150550 | − | 0.583525i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.617924 | − | 1.10288i | 0.0365386 | − | 0.0652149i | ||||
\(287\) | −5.58922 | − | 2.14271i | −0.329921 | − | 0.126480i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −9.55169 | − | 16.5440i | −0.561864 | − | 0.973177i | ||||
\(290\) | 11.2953 | − | 6.71703i | 0.663281 | − | 0.394437i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 5.43484 | + | 2.95359i | 0.318050 | + | 0.172846i | ||||
\(293\) | − | 17.9687i | − | 1.04974i | −0.851181 | − | 0.524872i | \(-0.824113\pi\) | ||
0.851181 | − | 0.524872i | \(-0.175887\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −6.64946 | −0.387147 | ||||||||
\(296\) | 6.96232 | − | 4.38727i | 0.404676 | − | 0.255005i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 8.38280 | + | 14.0964i | 0.485602 | + | 0.816582i | ||||
\(299\) | 19.6452 | − | 11.3422i | 1.13611 | − | 0.655936i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 8.27634 | − | 21.5887i | 0.477040 | − | 1.24435i | ||||
\(302\) | −10.7742 | + | 19.2299i | −0.619983 | + | 1.10656i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 9.16153 | + | 14.1314i | 0.525450 | + | 0.810489i | ||||
\(305\) | −5.35648 | − | 3.09257i | −0.306711 | − | 0.177080i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 27.7008 | 1.58097 | 0.790485 | − | 0.612481i | \(-0.209829\pi\) | ||||
0.790485 | + | 0.612481i | \(0.209829\pi\) | |||||||
\(308\) | 0.586900 | − | 0.501311i | 0.0334418 | − | 0.0285648i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −5.25213 | + | 0.0677416i | −0.298301 | + | 0.00384747i | ||||
\(311\) | −12.7971 | + | 22.1653i | −0.725658 | + | 1.25688i | 0.233045 | + | 0.972466i | \(0.425131\pi\) |
−0.958703 | + | 0.284410i | \(0.908202\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −14.9541 | + | 8.63375i | −0.845255 | + | 0.488008i | −0.859047 | − | 0.511897i | \(-0.828943\pi\) |
0.0137920 | + | 0.999905i | \(0.495610\pi\) | |||||||
\(314\) | −9.21762 | + | 16.4518i | −0.520180 | + | 0.928429i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −11.3150 | − | 18.4804i | −0.636520 | − | 1.03961i | ||||
\(317\) | −2.17346 | − | 3.76454i | −0.122074 | − | 0.211438i | 0.798512 | − | 0.601979i | \(-0.205621\pi\) |
−0.920585 | + | 0.390542i | \(0.872288\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.747457 | + | 1.29463i | −0.0418495 | + | 0.0724855i | ||||
\(320\) | −5.98279 | + | 4.10168i | −0.334448 | + | 0.229291i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 13.6494 | − | 2.34881i | 0.760652 | − | 0.130894i | ||||
\(323\) | −25.2982 | −1.40763 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −12.8016 | + | 22.1730i | −0.710103 | + | 1.22993i | ||||
\(326\) | 20.7570 | − | 12.3437i | 1.14962 | − | 0.683655i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −6.39437 | + | 0.247532i | −0.353070 | + | 0.0136677i | ||||
\(329\) | −2.97393 | − | 18.7239i | −0.163958 | − | 1.03228i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 15.0111 | − | 8.66665i | 0.825084 | − | 0.476362i | −0.0270828 | − | 0.999633i | \(-0.508622\pi\) |
0.852166 | + | 0.523271i | \(0.175288\pi\) | |||||||
\(332\) | −0.663022 | − | 25.6983i | −0.0363880 | − | 1.41038i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 2.32651 | − | 0.0300072i | 0.127301 | − | 0.00164192i | ||||
\(335\) | 2.79525 | 0.152721 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −0.659592 | −0.0359303 | −0.0179651 | − | 0.999839i | \(-0.505719\pi\) | ||||
−0.0179651 | + | 0.999839i | \(0.505719\pi\) | |||||||
\(338\) | −34.7246 | + | 0.447876i | −1.88877 | + | 0.0243613i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.281033 | − | 10.8927i | −0.0152412 | − | 0.590739i | ||||
\(341\) | 0.517452 | − | 0.298751i | 0.0280216 | − | 0.0161783i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −8.42956 | − | 16.4907i | −0.455154 | − | 0.890413i | ||||
\(344\) | −0.956108 | − | 24.6986i | −0.0515499 | − | 1.33166i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 10.9598 | − | 6.51751i | 0.589200 | − | 0.350384i | ||||
\(347\) | −3.49897 | + | 6.06039i | −0.187834 | + | 0.325339i | −0.944528 | − | 0.328431i | \(-0.893480\pi\) |
0.756694 | + | 0.653770i | \(0.226813\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −20.2632 | −1.08467 | −0.542333 | − | 0.840164i | \(-0.682459\pi\) | ||||
−0.542333 | + | 0.840164i | \(0.682459\pi\) | |||||||
\(350\) | −12.0162 | + | 9.99868i | −0.642292 | + | 0.534452i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0.365668 | − | 0.739703i | 0.0194902 | − | 0.0394263i | ||||
\(353\) | −5.18465 | + | 8.98008i | −0.275951 | + | 0.477962i | −0.970375 | − | 0.241605i | \(-0.922326\pi\) |
0.694423 | + | 0.719567i | \(0.255659\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 2.22986 | + | 3.86224i | 0.118349 | + | 0.204986i | ||||
\(356\) | 3.25224 | + | 5.31177i | 0.172368 | + | 0.281523i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 10.1020 | − | 18.0302i | 0.533905 | − | 0.952926i | ||||
\(359\) | −17.5691 | + | 10.1436i | −0.927264 | + | 0.535356i | −0.885945 | − | 0.463790i | \(-0.846489\pi\) |
−0.0413188 | + | 0.999146i | \(0.513156\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0.636589 | − | 1.10261i | 0.0335047 | − | 0.0580319i | ||||
\(362\) | −0.280636 | + | 0.00361962i | −0.0147499 | + | 0.000190243i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −30.5684 | − | 10.8231i | −1.60222 | − | 0.567287i | ||||
\(365\) | −2.80430 | −0.146784 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 21.6024 | + | 12.4722i | 1.12764 | + | 0.651042i | 0.943340 | − | 0.331829i | \(-0.107666\pi\) |
0.184298 | + | 0.982870i | \(0.440999\pi\) | |||||||
\(368\) | 12.4238 | − | 8.05452i | 0.647637 | − | 0.419871i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −1.82361 | + | 3.25482i | −0.0948050 | + | 0.169210i | ||||
\(371\) | 7.68104 | − | 6.22552i | 0.398780 | − | 0.323213i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −4.26886 | + | 2.46463i | −0.221033 | + | 0.127614i | −0.606429 | − | 0.795138i | \(-0.707398\pi\) |
0.385395 | + | 0.922752i | \(0.374065\pi\) | |||||||
\(374\) | 0.633544 | + | 1.06536i | 0.0327598 | + | 0.0550884i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −10.8052 | − | 17.1472i | −0.557235 | − | 0.884297i | ||||
\(377\) | 62.8055 | 3.23465 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 25.1007i | 1.28934i | 0.764462 | + | 0.644669i | \(0.223005\pi\) | ||||
−0.764462 | + | 0.644669i | \(0.776995\pi\) | |||||||
\(380\) | −6.70855 | − | 3.64579i | −0.344141 | − | 0.187025i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0.238071 | − | 0.141575i | 0.0121808 | − | 0.00724363i | ||||
\(383\) | 14.0619 | + | 24.3560i | 0.718531 | + | 1.24453i | 0.961582 | + | 0.274519i | \(0.0885185\pi\) |
−0.243051 | + | 0.970014i | \(0.578148\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.125262 | + | 0.326744i | −0.00638394 | + | 0.0166524i | ||||
\(386\) | −6.96249 | + | 12.4268i | −0.354381 | + | 0.632507i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.0306302 | − | 1.18721i | −0.00155501 | − | 0.0602715i | ||||
\(389\) | 3.82681 | − | 6.62822i | 0.194027 | − | 0.336064i | −0.752554 | − | 0.658530i | \(-0.771178\pi\) |
0.946581 | + | 0.322466i | \(0.104512\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 22.2413i | 1.12479i | ||||||||
\(392\) | −15.2260 | − | 12.6558i | −0.769029 | − | 0.639214i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 1.38784 | − | 0.0179002i | 0.0699182 | − | 0.000901800i | ||||
\(395\) | 8.50785 | + | 4.91201i | 0.428076 | + | 0.247150i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 6.22748 | + | 10.7863i | 0.312548 | + | 0.541350i | 0.978913 | − | 0.204276i | \(-0.0654841\pi\) |
−0.666365 | + | 0.745626i | \(0.732151\pi\) | |||||||
\(398\) | 2.71680 | + | 1.52217i | 0.136181 | + | 0.0762994i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −7.59830 | + | 14.8841i | −0.379915 | + | 0.744206i | ||||
\(401\) | −18.1682 | + | 10.4894i | −0.907279 | + | 0.523818i | −0.879555 | − | 0.475798i | \(-0.842159\pi\) |
−0.0277241 | + | 0.999616i | \(0.508826\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −21.7396 | − | 12.5514i | −1.08293 | − | 0.625228i | ||||
\(404\) | 19.5870 | + | 10.6447i | 0.974490 | + | 0.529591i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 35.9792 | + | 13.2635i | 1.78562 | + | 0.658258i | ||||
\(407\) | − | 0.424403i | − | 0.0210369i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 0.456865 | + | 0.263771i | 0.0225905 | + | 0.0130426i | 0.511253 | − | 0.859430i | \(-0.329182\pi\) |
−0.488662 | + | 0.872473i | \(0.662515\pi\) | |||||||
\(410\) | 2.49354 | − | 1.48285i | 0.123147 | − | 0.0732328i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −2.78896 | + | 1.70760i | −0.137402 | + | 0.0841272i | ||||
\(413\) | −12.2170 | − | 15.0733i | −0.601160 | − | 0.741711i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 5.82727 | + | 10.0931i | 0.286049 | + | 0.495452i | ||||
\(416\) | −34.5948 | + | 2.23399i | −1.69615 | + | 0.109530i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.868466 | − | 0.0112014i | 0.0424780 | − | 0.000547879i | ||||
\(419\) | − | 22.0482i | − | 1.07713i | −0.842585 | − | 0.538564i | \(-0.818967\pi\) | ||
0.842585 | − | 0.538564i | \(-0.181033\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 18.2360i | − | 0.888771i | −0.895836 | − | 0.444385i | \(-0.853422\pi\) | ||
0.895836 | − | 0.444385i | \(-0.146578\pi\) | |||||||
\(422\) | 0.324098 | + | 25.1279i | 0.0157768 | + | 1.22321i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 4.92686 | − | 9.35129i | 0.239269 | − | 0.454139i | ||||
\(425\) | −12.5515 | − | 21.7399i | −0.608839 | − | 1.05454i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −2.83105 | − | 17.8243i | −0.137004 | − | 0.862579i | ||||
\(428\) | −14.8729 | − | 24.2914i | −0.718910 | − | 1.17417i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 5.72760 | + | 9.63145i | 0.276209 | + | 0.464470i | ||||
\(431\) | −24.8419 | − | 14.3425i | −1.19659 | − | 0.690854i | −0.236799 | − | 0.971559i | \(-0.576098\pi\) |
−0.959794 | + | 0.280705i | \(0.909432\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 37.7023i | − | 1.81186i | −0.423429 | − | 0.905929i | \(-0.639174\pi\) | ||
0.423429 | − | 0.905929i | \(-0.360826\pi\) | |||||||
\(434\) | −9.80326 | − | 11.7813i | −0.470572 | − | 0.565522i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −11.9342 | − | 6.48572i | −0.571546 | − | 0.310610i | ||||
\(437\) | 13.4969 | + | 7.79242i | 0.645642 | + | 0.372762i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −7.68790 | + | 4.43861i | −0.366924 | + | 0.211843i | −0.672114 | − | 0.740448i | \(-0.734613\pi\) |
0.305190 | + | 0.952291i | \(0.401280\pi\) | |||||||
\(440\) | 0.0144706 | + | 0.373812i | 0.000689861 | + | 0.0178208i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 25.4537 | − | 45.4303i | 1.21071 | − | 2.16090i | ||||
\(443\) | 0.209480 | + | 0.362830i | 0.00995270 | + | 0.0172386i | 0.870959 | − | 0.491356i | \(-0.163499\pi\) |
−0.861006 | + | 0.508595i | \(0.830165\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −2.44538 | − | 1.41184i | −0.115922 | − | 0.0669278i | ||||
\(446\) | −0.377875 | − | 29.2973i | −0.0178929 | − | 1.38727i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −20.2900 | − | 6.02611i | −0.958615 | − | 0.284707i | ||||
\(449\) | 39.4411i | 1.86134i | 0.365861 | + | 0.930670i | \(0.380775\pi\) | ||||
−0.365861 | + | 0.930670i | \(0.619225\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.165008 | + | 0.285803i | −0.00776994 | + | 0.0134579i | ||||
\(452\) | 0.440615 | + | 17.0780i | 0.0207248 | + | 0.803281i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −24.7819 | − | 13.8848i | −1.16307 | − | 0.651647i | ||||
\(455\) | 14.5196 | − | 2.30616i | 0.680689 | − | 0.108114i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −5.94479 | − | 10.2967i | −0.278085 | − | 0.481658i | 0.692823 | − | 0.721107i | \(-0.256367\pi\) |
−0.970909 | + | 0.239449i | \(0.923033\pi\) | |||||||
\(458\) | −14.0035 | − | 23.5481i | −0.654341 | − | 1.10033i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −3.20526 | + | 5.89793i | −0.149446 | + | 0.274992i | ||||
\(461\) | − | 0.217896i | − | 0.0101484i | −0.999987 | − | 0.00507422i | \(-0.998385\pi\) | ||
0.999987 | − | 0.00507422i | \(-0.00161518\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −9.13271 | −0.424433 | −0.212216 | − | 0.977223i | \(-0.568068\pi\) | ||||
−0.212216 | + | 0.977223i | \(0.568068\pi\) | |||||||
\(464\) | 40.9392 | − | 2.11388i | 1.90055 | − | 0.0981346i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −31.4540 | + | 18.7049i | −1.45708 | + | 0.866489i | ||||
\(467\) | 23.4188 | − | 13.5208i | 1.08369 | − | 0.625670i | 0.151802 | − | 0.988411i | \(-0.451492\pi\) |
0.931890 | + | 0.362741i | \(0.118159\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 5.13570 | + | 6.33642i | 0.237145 | + | 0.292589i | ||||
\(470\) | 8.01614 | + | 4.49128i | 0.369757 | + | 0.207167i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −18.3511 | − | 9.66852i | −0.844676 | − | 0.445029i | ||||
\(473\) | −1.10393 | − | 0.637355i | −0.0507588 | − | 0.0293056i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −17.5901 | −0.807089 | ||||||||
\(476\) | 24.1758 | − | 20.6501i | 1.10809 | − | 0.946497i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0.204289 | + | 15.8388i | 0.00934394 | + | 0.724452i | ||||
\(479\) | −5.06539 | + | 8.77352i | −0.231444 | + | 0.400872i | −0.958233 | − | 0.285988i | \(-0.907678\pi\) |
0.726789 | + | 0.686860i | \(0.241012\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −15.4415 | + | 8.91517i | −0.704073 | + | 0.406497i | ||||
\(482\) | 33.7411 | + | 18.9045i | 1.53687 | + | 0.861076i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 11.4655 | + | 18.7262i | 0.521160 | + | 0.851192i | ||||
\(485\) | 0.269208 | + | 0.466281i | 0.0122241 | + | 0.0211728i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 5.08735 | − | 8.81155i | 0.230530 | − | 0.399290i | −0.727434 | − | 0.686177i | \(-0.759287\pi\) |
0.957964 | + | 0.286888i | \(0.0926207\pi\) | |||||||
\(488\) | −10.2860 | − | 16.3233i | −0.465627 | − | 0.738921i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 8.80483 | + | 1.74519i | 0.397762 | + | 0.0788395i | ||||
\(491\) | 24.6642 | 1.11308 | 0.556540 | − | 0.830821i | \(-0.312129\pi\) | ||||
0.556540 | + | 0.830821i | \(0.312129\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −30.7894 | + | 53.3288i | −1.38669 | + | 2.40181i | ||||
\(494\) | −18.6509 | − | 31.3631i | −0.839143 | − | 1.41109i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −14.5932 | − | 7.44979i | −0.655255 | − | 0.334506i | ||||
\(497\) | −4.65820 | + | 12.1508i | −0.208949 | + | 0.545039i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 12.8103 | − | 7.39603i | 0.573468 | − | 0.331092i | −0.185065 | − | 0.982726i | \(-0.559250\pi\) |
0.758533 | + | 0.651634i | \(0.225916\pi\) | |||||||
\(500\) | −0.429264 | − | 16.6380i | −0.0191973 | − | 0.744075i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −0.529061 | − | 41.0190i | −0.0236132 | − | 1.83077i | ||||
\(503\) | −34.7978 | −1.55156 | −0.775778 | − | 0.631006i | \(-0.782642\pi\) | ||||
−0.775778 | + | 0.631006i | \(0.782642\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −10.1066 | −0.449738 | ||||||||
\(506\) | −0.00984792 | − | 0.763526i | −0.000437793 | − | 0.0339429i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −36.1828 | + | 0.933524i | −1.60535 | + | 0.0414184i | ||||
\(509\) | 30.0509 | − | 17.3499i | 1.33198 | − | 0.769021i | 0.346381 | − | 0.938094i | \(-0.387411\pi\) |
0.985604 | + | 0.169073i | \(0.0540772\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.15233 | − | 6.35693i | −0.227926 | − | 0.281214i | ||||
\(512\) | −22.4752 | + | 2.62058i | −0.993271 | + | 0.115815i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 8.71105 | + | 14.6484i | 0.384228 | + | 0.646112i | ||||
\(515\) | 0.741291 | − | 1.28395i | 0.0326652 | − | 0.0565778i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.04524 | −0.0459697 | ||||||||
\(518\) | −10.7287 | + | 1.84621i | −0.471392 | + | 0.0811176i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 13.2969 | − | 8.37895i | 0.583106 | − | 0.367441i | ||||
\(521\) | 19.9658 | − | 34.5818i | 0.874718 | − | 1.51506i | 0.0176549 | − | 0.999844i | \(-0.494380\pi\) |
0.857063 | − | 0.515212i | \(-0.172287\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −3.77245 | − | 6.53407i | −0.164958 | − | 0.285715i | 0.771683 | − | 0.636008i | \(-0.219415\pi\) |
−0.936640 | + | 0.350293i | \(0.886082\pi\) | |||||||
\(524\) | −16.5139 | + | 10.1110i | −0.721412 | + | 0.441699i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −3.37351 | − | 1.89011i | −0.147092 | − | 0.0824127i | ||||
\(527\) | 21.3150 | − | 12.3062i | 0.928496 | − | 0.536068i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −4.64917 | + | 8.05259i | −0.202138 | + | 0.350113i | ||||
\(530\) | 0.0618011 | + | 4.79155i | 0.00268447 | + | 0.208131i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −4.06110 | − | 21.9057i | −0.176071 | − | 0.949731i | ||||
\(533\) | 13.8649 | 0.600557 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 11.1831 | + | 6.45655i | 0.483486 | + | 0.279141i | ||||
\(536\) | 7.71428 | + | 4.06438i | 0.333206 | + | 0.175554i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −6.35210 | − | 3.55896i | −0.273859 | − | 0.153438i | ||||
\(539\) | −0.970822 | + | 0.316374i | −0.0418163 | + | 0.0136272i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −14.8073 | + | 8.54900i | −0.636616 | + | 0.367550i | −0.783310 | − | 0.621632i | \(-0.786470\pi\) |
0.146694 | + | 0.989182i | \(0.453137\pi\) | |||||||
\(542\) | −29.5435 | + | 17.5688i | −1.26900 | + | 0.754645i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 15.0627 | − | 30.4700i | 0.645807 | − | 1.30639i | ||||
\(545\) | 6.15790 | 0.263775 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 26.4723i | 1.13187i | 0.824449 | + | 0.565936i | \(0.191485\pi\) | ||||
−0.824449 | + | 0.565936i | \(0.808515\pi\) | |||||||
\(548\) | −18.4960 | − | 10.0518i | −0.790112 | − | 0.429390i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.440510 | + | 0.740755i | 0.0187834 | + | 0.0315859i | ||||
\(551\) | 21.5746 | + | 37.3683i | 0.919109 | + | 1.59194i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 4.49663 | + | 28.3108i | 0.191216 | + | 1.20390i | ||||
\(554\) | −1.00560 | − | 0.563417i | −0.0427238 | − | 0.0239373i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 31.6199 | − | 0.815799i | 1.34098 | − | 0.0345976i | ||||
\(557\) | 21.9010 | − | 37.9337i | 0.927976 | − | 1.60730i | 0.141273 | − | 0.989971i | \(-0.454881\pi\) |
0.786703 | − | 0.617331i | \(-0.211786\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 53.5541i | 2.26510i | ||||||||
\(560\) | 9.38685 | − | 1.99194i | 0.396667 | − | 0.0841749i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −0.0194426 | − | 1.50742i | −0.000820135 | − | 0.0635865i | ||||
\(563\) | 30.7646 | + | 17.7620i | 1.29657 | + | 0.748578i | 0.979811 | − | 0.199927i | \(-0.0640705\pi\) |
0.316764 | + | 0.948505i | \(0.397404\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −3.87254 | − | 6.70744i | −0.162919 | − | 0.282184i | ||||
\(566\) | −4.35023 | + | 7.76439i | −0.182854 | + | 0.326362i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.538130 | + | 13.9012i | 0.0225794 | + | 0.583282i | ||||
\(569\) | 22.4782 | − | 12.9778i | 0.942334 | − | 0.544057i | 0.0516428 | − | 0.998666i | \(-0.483554\pi\) |
0.890691 | + | 0.454609i | \(0.150221\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 13.6202 | + | 7.86364i | 0.569989 | + | 0.329083i | 0.757145 | − | 0.653247i | \(-0.226594\pi\) |
−0.187156 | + | 0.982330i | \(0.559927\pi\) | |||||||
\(572\) | −0.853689 | + | 1.57085i | −0.0356945 | + | 0.0656807i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 7.94277 | + | 2.92805i | 0.331525 | + | 0.122215i | ||||
\(575\) | 15.4646i | 0.644920i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −31.0772 | − | 17.9424i | −1.29376 | − | 0.746953i | −0.314441 | − | 0.949277i | \(-0.601817\pi\) |
−0.979319 | + | 0.202324i | \(0.935150\pi\) | |||||||
\(578\) | 13.8087 | + | 23.2206i | 0.574368 | + | 0.965850i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −15.8501 | + | 9.70453i | −0.658138 | + | 0.402959i | ||||
\(581\) | −12.1732 | + | 31.7536i | −0.505030 | + | 1.31736i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.272552 | − | 0.472074i | −0.0112880 | − | 0.0195513i | ||||
\(584\) | −7.73926 | − | 4.07754i | −0.320253 | − | 0.168730i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0.327730 | + | 25.4095i | 0.0135384 | + | 1.04966i | ||||
\(587\) | 3.78446i | 0.156201i | 0.996945 | + | 0.0781007i | \(0.0248856\pi\) | ||||
−0.996945 | + | 0.0781007i | \(0.975114\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 17.2463i | − | 0.710622i | ||||||
\(590\) | 9.40298 | − | 0.121279i | 0.387115 | − | 0.00499298i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −9.76536 | + | 6.33100i | −0.401354 | + | 0.260203i | ||||
\(593\) | 11.6115 | + | 20.1117i | 0.476826 | + | 0.825887i | 0.999647 | − | 0.0265552i | \(-0.00845376\pi\) |
−0.522821 | + | 0.852442i | \(0.675120\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −5.15982 | + | 13.4593i | −0.211532 | + | 0.551778i | ||||
\(596\) | −12.1112 | − | 19.7808i | −0.496093 | − | 0.810252i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −27.5734 | + | 16.3972i | −1.12756 | + | 0.670533i | ||||
\(599\) | 13.4585 | + | 7.77024i | 0.549898 | + | 0.317484i | 0.749081 | − | 0.662479i | \(-0.230496\pi\) |
−0.199183 | + | 0.979962i | \(0.563829\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 23.5188i | − | 0.959354i | −0.877445 | − | 0.479677i | \(-0.840754\pi\) | ||
0.877445 | − | 0.479677i | \(-0.159246\pi\) | |||||||
\(602\) | −11.3098 | + | 30.6794i | −0.460952 | + | 1.25040i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 14.8850 | − | 27.3895i | 0.605660 | − | 1.11446i | ||||
\(605\) | −8.62100 | − | 4.97734i | −0.350494 | − | 0.202358i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 29.9332 | − | 17.2819i | 1.21495 | − | 0.701452i | 0.251117 | − | 0.967957i | \(-0.419202\pi\) |
0.963834 | + | 0.266505i | \(0.0858687\pi\) | |||||||
\(608\) | −13.2130 | − | 19.8160i | −0.535859 | − | 0.803645i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 7.63099 | + | 4.27549i | 0.308970 | + | 0.173110i | ||||
\(611\) | 21.9568 | + | 38.0302i | 0.888275 | + | 1.53854i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −7.20869 | − | 4.16194i | −0.291156 | − | 0.168099i | 0.347307 | − | 0.937752i | \(-0.387096\pi\) |
−0.638463 | + | 0.769652i | \(0.720430\pi\) | |||||||
\(614\) | −39.1716 | + | 0.505233i | −1.58084 | + | 0.0203896i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.820790 | + | 0.719606i | −0.0330706 | + | 0.0289938i | ||||
\(617\) | − | 9.28453i | − | 0.373781i | −0.982381 | − | 0.186891i | \(-0.940159\pi\) | ||
0.982381 | − | 0.186891i | \(-0.0598410\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −12.0804 | + | 20.9238i | −0.485551 | + | 0.840999i | −0.999862 | − | 0.0166047i | \(-0.994714\pi\) |
0.514311 | + | 0.857604i | \(0.328048\pi\) | |||||||
\(620\) | 7.42578 | − | 0.191586i | 0.298226 | − | 0.00769429i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 17.6921 | − | 31.5772i | 0.709388 | − | 1.26613i | ||||
\(623\) | −1.29245 | − | 8.13729i | −0.0517810 | − | 0.326014i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −6.67184 | − | 11.5560i | −0.266874 | − | 0.462239i | ||||
\(626\) | 20.9890 | − | 12.4817i | 0.838891 | − | 0.498869i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 12.7345 | − | 23.4325i | 0.508163 | − | 0.935060i | ||||
\(629\) | − | 17.4821i | − | 0.697057i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −10.8391 | −0.431498 | −0.215749 | − | 0.976449i | \(-0.569219\pi\) | ||||
−0.215749 | + | 0.976449i | \(0.569219\pi\) | |||||||
\(632\) | 16.3376 | + | 25.9267i | 0.649874 | + | 1.03131i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 3.14214 | + | 5.28378i | 0.124790 | + | 0.209846i | ||||
\(635\) | 14.2110 | − | 8.20470i | 0.563944 | − | 0.325593i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 31.9045 | + | 28.6767i | 1.26410 | + | 1.13621i | ||||
\(638\) | 1.03336 | − | 1.84437i | 0.0409112 | − | 0.0730192i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 8.38543 | − | 5.90929i | 0.331463 | − | 0.233585i | ||||
\(641\) | −32.0492 | − | 18.5036i | −1.26587 | − | 0.730849i | −0.291664 | − | 0.956521i | \(-0.594209\pi\) |
−0.974203 | + | 0.225672i | \(0.927542\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 24.9620 | 0.984405 | 0.492203 | − | 0.870481i | \(-0.336192\pi\) | ||||
0.492203 | + | 0.870481i | \(0.336192\pi\) | |||||||
\(644\) | −19.2587 | + | 3.57039i | −0.758901 | + | 0.140693i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 35.7741 | − | 0.461412i | 1.40751 | − | 0.0181540i | ||||
\(647\) | −15.6875 | + | 27.1715i | −0.616738 | + | 1.06822i | 0.373339 | + | 0.927695i | \(0.378213\pi\) |
−0.990077 | + | 0.140527i | \(0.955120\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.926404 | + | 0.534859i | −0.0363645 | + | 0.0209951i | ||||
\(650\) | 17.6982 | − | 31.5882i | 0.694182 | − | 1.23899i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −29.1273 | + | 17.8338i | −1.14071 | + | 0.698424i | ||||
\(653\) | −3.95300 | − | 6.84679i | −0.154693 | − | 0.267936i | 0.778254 | − | 0.627949i | \(-0.216105\pi\) |
−0.932947 | + | 0.360014i | \(0.882772\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 4.38931 | − | 7.60250i | 0.171504 | − | 0.297054i | ||||
\(656\) | 9.03773 | − | 0.466661i | 0.352864 | − | 0.0182200i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 4.54693 | + | 26.4232i | 0.177258 | + | 1.03008i | ||||
\(659\) | −32.9121 | −1.28207 | −0.641036 | − | 0.767510i | \(-0.721495\pi\) | ||||
−0.641036 | + | 0.767510i | \(0.721495\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 2.37104 | − | 4.10677i | 0.0922230 | − | 0.159735i | −0.816223 | − | 0.577737i | \(-0.803936\pi\) |
0.908446 | + | 0.418002i | \(0.137269\pi\) | |||||||
\(662\) | −21.0690 | + | 12.5293i | −0.818871 | + | 0.486964i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 1.40629 | + | 36.3278i | 0.0545745 | + | 1.40979i | ||||
\(665\) | 6.35982 | + | 7.84674i | 0.246623 | + | 0.304284i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 32.8530 | − | 18.9677i | 1.27207 | − | 0.734432i | ||||
\(668\) | −3.28936 | + | 0.0848662i | −0.127269 | + | 0.00328357i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −3.95275 | + | 0.0509824i | −0.152708 | + | 0.00196962i | ||||
\(671\) | −0.995021 | −0.0384124 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 12.7891 | 0.492983 | 0.246492 | − | 0.969145i | \(-0.420722\pi\) | ||||
0.246492 | + | 0.969145i | \(0.420722\pi\) | |||||||
\(674\) | 0.932727 | − | 0.0120303i | 0.0359273 | − | 0.000463388i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 49.0958 | − | 1.26668i | 1.88830 | − | 0.0487185i | ||||
\(677\) | −19.9765 | + | 11.5334i | −0.767759 | + | 0.443266i | −0.832075 | − | 0.554664i | \(-0.812847\pi\) |
0.0643155 | + | 0.997930i | \(0.479514\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.562377 | + | 1.46695i | −0.0215820 | + | 0.0562964i | ||||
\(680\) | 0.596079 | + | 15.3982i | 0.0228586 | + | 0.590493i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.726278 | + | 0.431900i | −0.0278106 | + | 0.0165383i | ||||
\(683\) | −3.40643 | + | 5.90011i | −0.130343 | + | 0.225761i | −0.923809 | − | 0.382854i | \(-0.874941\pi\) |
0.793466 | + | 0.608615i | \(0.208275\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 9.54370 | 0.364646 | ||||||||
\(686\) | 12.2210 | + | 23.1657i | 0.466599 | + | 0.884469i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 1.80250 | + | 34.9088i | 0.0687199 | + | 1.33088i | ||||
\(689\) | −11.4507 | + | 19.8332i | −0.436236 | + | 0.755583i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −14.9637 | − | 25.9178i | −0.569245 | − | 0.985961i | −0.996641 | − | 0.0818962i | \(-0.973902\pi\) |
0.427396 | − | 0.904064i | \(-0.359431\pi\) | |||||||
\(692\) | −15.3793 | + | 9.41628i | −0.584633 | + | 0.357953i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 4.83734 | − | 8.63379i | 0.183623 | − | 0.327734i | ||||
\(695\) | −12.4188 | + | 7.17002i | −0.471074 | + | 0.271975i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −6.79707 | + | 11.7729i | −0.257457 | + | 0.445929i | ||||
\(698\) | 28.6541 | − | 0.369579i | 1.08458 | − | 0.0139888i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 16.8097 | − | 14.3583i | 0.635345 | − | 0.542691i | ||||
\(701\) | 18.0414 | 0.681415 | 0.340707 | − | 0.940169i | \(-0.389333\pi\) | ||||
0.340707 | + | 0.940169i | \(0.389333\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −10.6088 | − | 6.12499i | −0.400118 | − | 0.231008i | ||||
\(704\) | −0.503598 | + | 1.05268i | −0.0189801 | + | 0.0396744i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 7.16781 | − | 12.7933i | 0.269764 | − | 0.481481i | ||||
\(707\) | −18.5688 | − | 22.9102i | −0.698353 | − | 0.861627i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 29.1885 | − | 16.8520i | 1.09620 | − | 0.632889i | 0.160977 | − | 0.986958i | \(-0.448536\pi\) |
0.935219 | + | 0.354069i | \(0.115202\pi\) | |||||||
\(710\) | −3.22368 | − | 5.42090i | −0.120983 | − | 0.203443i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −4.69586 | − | 7.45203i | −0.175985 | − | 0.279277i | ||||
\(713\) | −15.1624 | −0.567836 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | − | 0.810539i | − | 0.0303124i | ||||||
\(716\) | −13.9563 | + | 25.6807i | −0.521571 | + | 0.959732i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 24.6595 | − | 14.6644i | 0.920283 | − | 0.547270i | ||||
\(719\) | −24.8458 | − | 43.0342i | −0.926592 | − | 1.60490i | −0.788981 | − | 0.614418i | \(-0.789391\pi\) |
−0.137611 | − | 0.990486i | \(-0.543942\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4.27250 | − | 0.678604i | 0.159116 | − | 0.0252725i | ||||
\(722\) | −0.880088 | + | 1.57080i | −0.0327535 | + | 0.0584591i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0.396780 | − | 0.0102370i | 0.0147462 | − | 0.000380455i | ||||
\(725\) | −21.4082 | + | 37.0801i | −0.795081 | + | 1.37712i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 5.49208i | − | 0.203690i | −0.994800 | − | 0.101845i | \(-0.967525\pi\) | ||
0.994800 | − | 0.101845i | \(-0.0324746\pi\) | |||||||
\(728\) | 43.4241 | + | 14.7474i | 1.60940 | + | 0.546576i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 3.96555 | − | 0.0511474i | 0.146772 | − | 0.00189305i | ||||
\(731\) | −45.4734 | − | 26.2541i | −1.68189 | − | 0.971042i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 0.176068 | + | 0.304959i | 0.00650322 | + | 0.0112639i | 0.869259 | − | 0.494357i | \(-0.164597\pi\) |
−0.862755 | + | 0.505621i | \(0.831263\pi\) | |||||||
\(734\) | −30.7754 | − | 17.2428i | −1.13594 | − | 0.636445i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −17.4216 | + | 11.6165i | −0.642168 | + | 0.428188i | ||||
\(737\) | 0.389435 | − | 0.224840i | 0.0143450 | − | 0.00828209i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −13.2521 | − | 7.65108i | −0.487485 | − | 0.281450i | 0.236045 | − | 0.971742i | \(-0.424149\pi\) |
−0.723531 | + | 0.690292i | \(0.757482\pi\) | |||||||
\(740\) | 2.51939 | − | 4.63589i | 0.0926148 | − | 0.170419i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −10.7482 | + | 8.94357i | −0.394578 | + | 0.328329i | ||||
\(743\) | − | 41.8196i | − | 1.53421i | −0.641520 | − | 0.767106i | \(-0.721696\pi\) | ||
0.641520 | − | 0.767106i | \(-0.278304\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 9.10648 | + | 5.25763i | 0.333636 | + | 0.192625i | ||||
\(746\) | 5.99163 | − | 3.56308i | 0.219369 | − | 0.130454i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −0.915322 | − | 1.49496i | −0.0334675 | − | 0.0546613i | ||||
\(749\) | 5.91055 | + | 37.2129i | 0.215967 | + | 1.35973i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 0.457654 | + | 0.792680i | 0.0167000 | + | 0.0289253i | 0.874255 | − | 0.485468i | \(-0.161351\pi\) |
−0.857555 | + | 0.514393i | \(0.828017\pi\) | |||||||
\(752\) | 15.5923 | + | 24.0507i | 0.568594 | + | 0.877037i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −88.8130 | + | 1.14550i | −3.23438 | + | 0.0417168i | ||||
\(755\) | 14.1326i | 0.514338i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 20.2296i | 0.735257i | 0.929973 | + | 0.367628i | \(0.119830\pi\) | ||||
−0.929973 | + | 0.367628i | \(0.880170\pi\) | |||||||
\(758\) | −0.457810 | − | 35.4949i | −0.0166284 | − | 1.28923i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 9.55302 | + | 5.03314i | 0.346525 | + | 0.182571i | ||||
\(761\) | −5.53329 | − | 9.58394i | −0.200582 | − | 0.347417i | 0.748134 | − | 0.663547i | \(-0.230950\pi\) |
−0.948716 | + | 0.316130i | \(0.897616\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 11.3139 | + | 13.9590i | 0.409590 | + | 0.505351i | ||||
\(764\) | −0.334074 | + | 0.204544i | −0.0120864 | + | 0.00740012i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −20.3291 | − | 34.1852i | −0.734522 | − | 1.23516i | ||||
\(767\) | 38.9208 | + | 22.4709i | 1.40535 | + | 0.811379i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | − | 20.8715i | − | 0.752646i | −0.926489 | − | 0.376323i | \(-0.877188\pi\) | ||
0.926489 | − | 0.376323i | \(-0.122812\pi\) | |||||||
\(770\) | 0.171173 | − | 0.464331i | 0.00616865 | − | 0.0167333i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 9.61897 | − | 17.6997i | 0.346194 | − | 0.637025i | ||||
\(773\) | −25.3570 | − | 14.6399i | −0.912030 | − | 0.526561i | −0.0309460 | − | 0.999521i | \(-0.509852\pi\) |
−0.881084 | + | 0.472961i | \(0.843185\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 14.8206 | − | 8.55665i | 0.532370 | − | 0.307364i | ||||
\(776\) | 0.0649675 | + | 1.67827i | 0.00233220 | + | 0.0602464i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −5.29058 | + | 9.44274i | −0.189676 | + | 0.338539i | ||||
\(779\) | 4.76281 | + | 8.24943i | 0.170645 | + | 0.295566i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.621329 | + | 0.358725i | 0.0222329 | + | 0.0128362i | ||||
\(782\) | −0.405658 | − | 31.4514i | −0.0145063 | − | 1.12470i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 21.7618 | + | 17.6188i | 0.777209 | + | 0.629243i | ||||
\(785\) | 12.0909i | 0.431541i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 10.4134 | − | 18.0366i | 0.371199 | − | 0.642935i | −0.618551 | − | 0.785744i | \(-0.712280\pi\) |
0.989750 | + | 0.142809i | \(0.0456135\pi\) | |||||||
\(788\) | −1.96221 | + | 0.0506253i | −0.0699007 | + | 0.00180345i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −12.1205 | − | 6.79088i | −0.431228 | − | 0.241608i | ||||
\(791\) | 8.08977 | − | 21.1020i | 0.287639 | − | 0.750302i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 20.9018 | + | 36.2030i | 0.742245 | + | 1.28561i | ||||
\(794\) | −9.00299 | − | 15.1393i | −0.319504 | − | 0.537274i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −3.86958 | − | 2.10294i | −0.137154 | − | 0.0745368i | ||||
\(797\) | − | 28.8543i | − | 1.02207i | −0.859559 | − | 0.511036i | \(-0.829262\pi\) | ||
0.859559 | − | 0.511036i | \(-0.170738\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −43.0558 | −1.52321 | ||||||||
\(800\) | 10.4732 | − | 21.1862i | 0.370285 | − | 0.749044i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 25.5003 | − | 15.1644i | 0.900448 | − | 0.535475i | ||||
\(803\) | −0.390695 | + | 0.225568i | −0.0137873 | + | 0.00796013i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 6.89859 | − | 5.59134i | 0.243143 | − | 0.197069i | ||||
\(806\) | 30.9708 | + | 17.3523i | 1.09090 | + | 0.611210i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −27.8920 | − | 14.6953i | −0.981239 | − | 0.516979i | ||||
\(809\) | 32.6025 | + | 18.8231i | 1.14624 | + | 0.661784i | 0.947969 | − | 0.318362i | \(-0.103133\pi\) |
0.198275 | + | 0.980146i | \(0.436466\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −11.3863 | −0.399827 | −0.199913 | − | 0.979814i | \(-0.564066\pi\) | ||||
−0.199913 | + | 0.979814i | \(0.564066\pi\) | |||||||
\(812\) | −51.1200 | − | 18.0997i | −1.79396 | − | 0.635174i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0.00774065 | + | 0.600146i | 0.000271310 | + | 0.0210351i | ||||
\(815\) | 7.74189 | − | 13.4093i | 0.271186 | − | 0.469709i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −31.8639 | + | 18.3966i | −1.11478 | + | 0.643617i | ||||
\(818\) | −0.650862 | − | 0.364665i | −0.0227568 | − | 0.0127502i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −3.49906 | + | 2.14237i | −0.122192 | + | 0.0748149i | ||||
\(821\) | 6.92169 | + | 11.9887i | 0.241569 | + | 0.418409i | 0.961161 | − | 0.275987i | \(-0.0890048\pi\) |
−0.719593 | + | 0.694396i | \(0.755671\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −6.60648 | + | 11.4428i | −0.230287 | + | 0.398869i | −0.957893 | − | 0.287127i | \(-0.907300\pi\) |
0.727605 | + | 0.685996i | \(0.240633\pi\) | |||||||
\(824\) | 3.91271 | − | 2.46557i | 0.136306 | − | 0.0858923i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 17.5510 | + | 21.0923i | 0.610676 | + | 0.733896i | ||||
\(827\) | 12.2445 | 0.425784 | 0.212892 | − | 0.977076i | \(-0.431712\pi\) | ||||
0.212892 | + | 0.977076i | \(0.431712\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 21.1084 | − | 36.5609i | 0.733126 | − | 1.26981i | −0.222415 | − | 0.974952i | \(-0.571394\pi\) |
0.955541 | − | 0.294859i | \(-0.0952728\pi\) | |||||||
\(830\) | −8.42440 | − | 14.1664i | −0.292415 | − | 0.491722i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 48.8797 | − | 3.79004i | 1.69460 | − | 0.131396i | ||||
\(833\) | −39.9904 | + | 13.0322i | −1.38558 | + | 0.451537i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 1.29191 | − | 0.745885i | 0.0447084 | − | 0.0258124i | ||||
\(836\) | −1.22789 | + | 0.0316798i | −0.0424674 | + | 0.00109567i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0.402136 | + | 31.1783i | 0.0138916 | + | 1.07704i | ||||
\(839\) | −4.30094 | −0.148485 | −0.0742424 | − | 0.997240i | \(-0.523654\pi\) | ||||
−0.0742424 | + | 0.997240i | \(0.523654\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 76.0304 | 2.62174 | ||||||||
\(842\) | 0.332606 | + | 25.7875i | 0.0114624 | + | 0.888697i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −0.916612 | − | 35.5273i | −0.0315511 | − | 1.22290i | ||||
\(845\) | −19.2826 | + | 11.1328i | −0.663340 | + | 0.382980i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −4.55643 | − | 28.6874i | −0.156561 | − | 0.985710i | ||||
\(848\) | −6.79649 | + | 13.3135i | −0.233392 | + | 0.457187i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 18.1456 | + | 30.5134i | 0.622388 | + | 1.04660i | ||||
\(851\) | −5.38488 | + | 9.32689i | −0.184591 | + | 0.319722i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −28.0209 | −0.959416 | −0.479708 | − | 0.877428i | \(-0.659257\pi\) | ||||
−0.479708 | + | 0.877428i | \(0.659257\pi\) | |||||||
\(854\) | 4.32847 | + | 25.1537i | 0.148117 | + | 0.860740i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 21.4748 | + | 34.0792i | 0.733994 | + | 1.16480i | ||||
\(857\) | 6.76275 | − | 11.7134i | 0.231011 | − | 0.400123i | −0.727095 | − | 0.686537i | \(-0.759130\pi\) |
0.958106 | + | 0.286414i | \(0.0924632\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −9.51823 | − | 16.4861i | −0.324758 | − | 0.562497i | 0.656705 | − | 0.754147i | \(-0.271950\pi\) |
−0.981463 | + | 0.191650i | \(0.938616\pi\) | |||||||
\(860\) | −8.27504 | − | 13.5153i | −0.282176 | − | 0.460869i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 35.3905 | + | 19.8286i | 1.20540 | + | 0.675364i | ||||
\(863\) | −14.7548 | + | 8.51871i | −0.502260 | + | 0.289980i | −0.729646 | − | 0.683825i | \(-0.760315\pi\) |
0.227386 | + | 0.973805i | \(0.426982\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 4.08774 | − | 7.08017i | 0.138987 | − | 0.240733i | ||||
\(866\) | 0.687650 | + | 53.3147i | 0.0233673 | + | 1.81171i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 14.0776 | + | 16.4811i | 0.477826 | + | 0.559406i | ||||
\(869\) | 1.58042 | 0.0536120 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −16.3612 | − | 9.44617i | −0.554379 | − | 0.320071i | ||||
\(872\) | 16.9944 | + | 8.95376i | 0.575505 | + | 0.303213i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −19.2280 | − | 10.7731i | −0.650396 | − | 0.364404i | ||||
\(875\) | −7.88137 | + | 20.5584i | −0.266439 | + | 0.695001i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 39.7587 | − | 22.9547i | 1.34255 | − | 0.775124i | 0.355373 | − | 0.934725i | \(-0.384354\pi\) |
0.987182 | + | 0.159600i | \(0.0510205\pi\) | |||||||
\(878\) | 10.7905 | − | 6.41684i | 0.364161 | − | 0.216558i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −0.0272808 | − | 0.528343i | −0.000919636 | − | 0.0178104i | ||||
\(881\) | −12.9601 | −0.436638 | −0.218319 | − | 0.975877i | \(-0.570057\pi\) | ||||
−0.218319 | + | 0.975877i | \(0.570057\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 53.9117i | 1.81427i | 0.420835 | + | 0.907137i | \(0.361737\pi\) | ||||
−0.420835 | + | 0.907137i | \(0.638263\pi\) | |||||||
\(884\) | −35.1654 | + | 64.7070i | −1.18274 | + | 2.17633i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −0.302843 | − | 0.509256i | −0.0101742 | − | 0.0171088i | ||||
\(887\) | 8.11124 | + | 14.0491i | 0.272349 | + | 0.471722i | 0.969463 | − | 0.245238i | \(-0.0788662\pi\) |
−0.697114 | + | 0.716960i | \(0.745533\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 44.7085 | + | 17.1397i | 1.49948 | + | 0.574846i | ||||
\(890\) | 3.48376 | + | 1.95188i | 0.116776 | + | 0.0654272i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 1.06870 | + | 41.4224i | 0.0357829 | + | 1.38692i | ||||
\(893\) | −15.0849 | + | 26.1279i | −0.504798 | + | 0.874336i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | − | 13.2509i | − | 0.442928i | ||||||
\(896\) | 28.8020 | + | 8.15142i | 0.962207 | + | 0.272320i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −0.719363 | − | 55.7735i | −0.0240054 | − | 1.86118i | ||||
\(899\) | −36.3554 | − | 20.9898i | −1.21252 | − | 0.700049i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −11.2270 | − | 19.4458i | −0.374027 | − | 0.647834i | ||||
\(902\) | 0.228125 | − | 0.407162i | 0.00759573 | − | 0.0135570i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −0.934556 | − | 24.1419i | −0.0310829 | − | 0.802946i | ||||
\(905\) | −0.155837 | + | 0.0899725i | −0.00518019 | + | 0.00299079i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 6.60352 | + | 3.81255i | 0.219266 | + | 0.126594i | 0.605611 | − | 0.795761i | \(-0.292929\pi\) |
−0.386344 | + | 0.922355i | \(0.626262\pi\) | |||||||
\(908\) | 35.2973 | + | 19.1825i | 1.17138 | + | 0.636593i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −20.4900 | + | 3.52595i | −0.679238 | + | 0.116884i | ||||
\(911\) | − | 33.1109i | − | 1.09701i | −0.836146 | − | 0.548507i | \(-0.815196\pi\) | ||
0.836146 | − | 0.548507i | \(-0.184804\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1.62371 | + | 0.937450i | 0.0537370 | + | 0.0310251i | ||||
\(914\) | 8.59430 | + | 14.4521i | 0.284274 | + | 0.478032i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 20.2318 | + | 33.0439i | 0.668477 | + | 1.09180i | ||||
\(917\) | 25.2982 | − | 4.01813i | 0.835420 | − | 0.132690i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −16.2880 | − | 28.2116i | −0.537291 | − | 0.930616i | −0.999049 | − | 0.0436094i | \(-0.986114\pi\) |
0.461758 | − | 0.887006i | \(-0.347219\pi\) | |||||||
\(920\) | 4.42497 | − | 8.39870i | 0.145887 | − | 0.276897i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0.00397420 | + | 0.308126i | 0.000130883 | + | 0.0101476i | ||||
\(923\) | − | 30.1421i | − | 0.992138i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | − | 12.1555i | − | 0.399670i | ||||||
\(926\) | 12.9145 | − | 0.166571i | 0.424398 | − | 0.00547385i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −57.8534 | + | 3.73592i | −1.89913 | + | 0.122638i | ||||
\(929\) | −7.81822 | − | 13.5416i | −0.256507 | − | 0.444284i | 0.708796 | − | 0.705413i | \(-0.249238\pi\) |
−0.965304 | + | 0.261129i | \(0.915905\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −6.10253 | + | 28.8335i | −0.200002 | + | 0.944981i | ||||
\(932\) | 44.1378 | − | 27.0243i | 1.44578 | − | 0.885209i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −32.8698 | + | 19.5469i | −1.07553 | + | 0.639594i | ||||
\(935\) | 0.688237 | + | 0.397354i | 0.0225078 | + | 0.0129949i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 49.5708i | 1.61941i | 0.586839 | + | 0.809704i | \(0.300372\pi\) | ||||
−0.586839 | + | 0.809704i | \(0.699628\pi\) | |||||||
\(938\) | −7.37794 | − | 8.86664i | −0.240898 | − | 0.289506i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −11.4175 | − | 6.20490i | −0.372398 | − | 0.202381i | ||||
\(941\) | 10.5801 | + | 6.10840i | 0.344900 | + | 0.199128i | 0.662437 | − | 0.749118i | \(-0.269522\pi\) |
−0.317537 | + | 0.948246i | \(0.602856\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 7.25262 | − | 4.18730i | 0.236178 | − | 0.136357i | ||||
\(944\) | 26.1265 | + | 13.3375i | 0.850345 | + | 0.434099i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 1.57269 | + | 0.881146i | 0.0511325 | + | 0.0286485i | ||||
\(947\) | −11.4761 | − | 19.8772i | −0.372923 | − | 0.645921i | 0.617091 | − | 0.786892i | \(-0.288311\pi\) |
−0.990014 | + | 0.140971i | \(0.954978\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 16.4142 | + | 9.47675i | 0.532828 | + | 0.307628i | ||||
\(950\) | 24.8741 | − | 0.320825i | 0.807022 | − | 0.0104089i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −33.8102 | + | 29.6422i | −1.09579 | + | 0.960709i | ||||
\(953\) | − | 10.7450i | − | 0.348063i | −0.984740 | − | 0.174032i | \(-0.944321\pi\) | ||
0.984740 | − | 0.174032i | \(-0.0556795\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0.0887952 | − | 0.153798i | 0.00287334 | − | 0.00497678i | ||||
\(956\) | −0.577767 | − | 22.3939i | −0.0186863 | − | 0.724271i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 7.00293 | − | 12.4990i | 0.226254 | − | 0.403824i | ||||
\(959\) | 17.5346 | + | 21.6341i | 0.566221 | + | 0.698603i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −7.11058 | − | 12.3159i | −0.229374 | − | 0.397287i | ||||
\(962\) | 21.6732 | − | 12.8885i | 0.698772 | − | 0.415543i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −48.0580 | − | 26.1174i | −1.54784 | − | 0.841183i | ||||
\(965\) | 9.13278i | 0.293995i | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −7.48832 | −0.240808 | −0.120404 | − | 0.992725i | \(-0.538419\pi\) | ||||
−0.120404 | + | 0.992725i | \(0.538419\pi\) | |||||||
\(968\) | −16.5549 | − | 26.2716i | −0.532094 | − | 0.844400i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −0.389190 | − | 0.654457i | −0.0124961 | − | 0.0210133i | ||||
\(971\) | −45.0252 | + | 25.9953i | −1.44493 | + | 0.834229i | −0.998173 | − | 0.0604275i | \(-0.980754\pi\) |
−0.446755 | + | 0.894657i | \(0.647420\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −39.0705 | − | 14.9782i | −1.25254 | − | 0.480180i | ||||
\(974\) | −7.03329 | + | 12.5532i | −0.225361 | + | 0.402229i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 14.8432 | + | 22.8951i | 0.475118 | + | 0.732854i | ||||
\(977\) | −17.3850 | − | 10.0372i | −0.556196 | − | 0.321120i | 0.195421 | − | 0.980719i | \(-0.437393\pi\) |
−0.751617 | + | 0.659600i | \(0.770726\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −0.454255 | −0.0145180 | ||||||||
\(980\) | −12.4827 | − | 2.30727i | −0.398745 | − | 0.0737030i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −34.8776 | + | 0.449849i | −1.11299 | + | 0.0143552i | ||||
\(983\) | 30.7294 | − | 53.2249i | 0.980115 | − | 1.69761i | 0.318214 | − | 0.948019i | \(-0.396917\pi\) |
0.661902 | − | 0.749591i | \(-0.269750\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0.770664 | − | 0.444943i | 0.0245554 | − | 0.0141771i | ||||
\(986\) | 42.5665 | − | 75.9737i | 1.35559 | − | 2.41949i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 26.9462 | + | 44.0102i | 0.857272 | + | 1.40015i | ||||
\(989\) | 16.1737 | + | 28.0137i | 0.514294 | + | 0.890783i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 9.87483 | − | 17.1037i | 0.313684 | − | 0.543317i | −0.665473 | − | 0.746422i | \(-0.731770\pi\) |
0.979157 | + | 0.203105i | \(0.0651033\pi\) | |||||||
\(992\) | 20.7721 | + | 10.2686i | 0.659514 | + | 0.326027i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 6.36552 | − | 17.2674i | 0.201902 | − | 0.547689i | ||||
\(995\) | 1.99665 | 0.0632980 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 1.94579 | − | 3.37021i | 0.0616239 | − | 0.106736i | −0.833568 | − | 0.552418i | \(-0.813705\pi\) |
0.895191 | + | 0.445682i | \(0.147039\pi\) | |||||||
\(998\) | −17.9801 | + | 10.6923i | −0.569150 | + | 0.338460i | ||||
\(999\) | 0 | 0 |
(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 | 504.2.ch.b.269.1 | ✓ | 56 | |
3.2 | odd | 2 | inner | 504.2.ch.b.269.28 | yes | 56 | |
4.3 | odd | 2 | 2016.2.cp.b.17.11 | 56 | |||
7.5 | odd | 6 | inner | 504.2.ch.b.341.20 | yes | 56 | |
8.3 | odd | 2 | 2016.2.cp.b.17.18 | 56 | |||
8.5 | even | 2 | inner | 504.2.ch.b.269.9 | yes | 56 | |
12.11 | even | 2 | 2016.2.cp.b.17.17 | 56 | |||
21.5 | even | 6 | inner | 504.2.ch.b.341.9 | yes | 56 | |
24.5 | odd | 2 | inner | 504.2.ch.b.269.20 | yes | 56 | |
24.11 | even | 2 | 2016.2.cp.b.17.12 | 56 | |||
28.19 | even | 6 | 2016.2.cp.b.593.12 | 56 | |||
56.5 | odd | 6 | inner | 504.2.ch.b.341.28 | yes | 56 | |
56.19 | even | 6 | 2016.2.cp.b.593.17 | 56 | |||
84.47 | odd | 6 | 2016.2.cp.b.593.18 | 56 | |||
168.5 | even | 6 | inner | 504.2.ch.b.341.1 | yes | 56 | |
168.131 | odd | 6 | 2016.2.cp.b.593.11 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
504.2.ch.b.269.1 | ✓ | 56 | 1.1 | even | 1 | trivial | |
504.2.ch.b.269.9 | yes | 56 | 8.5 | even | 2 | inner | |
504.2.ch.b.269.20 | yes | 56 | 24.5 | odd | 2 | inner | |
504.2.ch.b.269.28 | yes | 56 | 3.2 | odd | 2 | inner | |
504.2.ch.b.341.1 | yes | 56 | 168.5 | even | 6 | inner | |
504.2.ch.b.341.9 | yes | 56 | 21.5 | even | 6 | inner | |
504.2.ch.b.341.20 | yes | 56 | 7.5 | odd | 6 | inner | |
504.2.ch.b.341.28 | yes | 56 | 56.5 | odd | 6 | inner | |
2016.2.cp.b.17.11 | 56 | 4.3 | odd | 2 | |||
2016.2.cp.b.17.12 | 56 | 24.11 | even | 2 | |||
2016.2.cp.b.17.17 | 56 | 12.11 | even | 2 | |||
2016.2.cp.b.17.18 | 56 | 8.3 | odd | 2 | |||
2016.2.cp.b.593.11 | 56 | 168.131 | odd | 6 | |||
2016.2.cp.b.593.12 | 56 | 28.19 | even | 6 | |||
2016.2.cp.b.593.17 | 56 | 56.19 | even | 6 | |||
2016.2.cp.b.593.18 | 56 | 84.47 | odd | 6 |