Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [75,2,Mod(16,75)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(75, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("75.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 75 = 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 75.g (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: | \(0.598878015160\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{5})\) |
Coefficient field: | 8.0.26265625.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 3x^{7} + 2x^{6} + x^{4} + 8x^{2} - 24x + 16 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 5 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 16.2 | ||
Root | \(-0.0272949 - 1.41395i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 75.16 |
Dual form | 75.2.g.b.61.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).
\(n\) | \(26\) | \(52\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.38048 | + | 1.00297i | 0.976144 | + | 0.709210i | 0.956844 | − | 0.290604i | \(-0.0938561\pi\) |
0.0193004 | + | 0.999814i | \(0.493856\pi\) | |||||||
\(3\) | 0.309017 | + | 0.951057i | 0.178411 | + | 0.549093i | ||||
\(4\) | 0.281722 | + | 0.867051i | 0.140861 | + | 0.433526i | ||||
\(5\) | −1.02729 | − | 1.98612i | −0.459420 | − | 0.888219i | ||||
\(6\) | −0.527295 | + | 1.62285i | −0.215267 | + | 0.662524i | ||||
\(7\) | −3.94243 | −1.49010 | −0.745049 | − | 0.667009i | \(-0.767574\pi\) | ||||
−0.745049 | + | 0.667009i | \(0.767574\pi\) | |||||||
\(8\) | 0.573870 | − | 1.76619i | 0.202894 | − | 0.624442i | ||||
\(9\) | −0.809017 | + | 0.587785i | −0.269672 | + | 0.195928i | ||||
\(10\) | 0.573870 | − | 3.77214i | 0.181474 | − | 1.19286i | ||||
\(11\) | 4.78023 | + | 3.47304i | 1.44129 | + | 1.04716i | 0.987770 | + | 0.155918i | \(0.0498334\pi\) |
0.453524 | + | 0.891244i | \(0.350167\pi\) | |||||||
\(12\) | −0.737558 | + | 0.535867i | −0.212915 | + | 0.154692i | ||||
\(13\) | −2.66220 | + | 1.93420i | −0.738361 | + | 0.536451i | −0.892197 | − | 0.451646i | \(-0.850837\pi\) |
0.153836 | + | 0.988096i | \(0.450837\pi\) | |||||||
\(14\) | −5.44243 | − | 3.95416i | −1.45455 | − | 1.05679i | ||||
\(15\) | 1.57146 | − | 1.59076i | 0.405749 | − | 0.410732i | ||||
\(16\) | 4.03877 | − | 2.93434i | 1.00969 | − | 0.733585i | ||||
\(17\) | 0.836312 | − | 2.57390i | 0.202835 | − | 0.624263i | −0.796960 | − | 0.604032i | \(-0.793560\pi\) |
0.999795 | − | 0.0202310i | \(-0.00644018\pi\) | |||||||
\(18\) | −1.70636 | −0.402193 | ||||||||
\(19\) | −0.728704 | + | 2.24272i | −0.167176 | + | 0.514515i | −0.999190 | − | 0.0402396i | \(-0.987188\pi\) |
0.832014 | + | 0.554755i | \(0.187188\pi\) | |||||||
\(20\) | 1.43265 | − | 1.45025i | 0.320351 | − | 0.324286i | ||||
\(21\) | −1.21828 | − | 3.74947i | −0.265850 | − | 0.818202i | ||||
\(22\) | 3.11562 | + | 9.58890i | 0.664253 | + | 2.04436i | ||||
\(23\) | 0.472705 | + | 0.343440i | 0.0985658 | + | 0.0716123i | 0.635977 | − | 0.771708i | \(-0.280597\pi\) |
−0.537411 | + | 0.843321i | \(0.680597\pi\) | |||||||
\(24\) | 1.85708 | 0.379075 | ||||||||
\(25\) | −2.88933 | + | 4.08066i | −0.577866 | + | 0.816132i | ||||
\(26\) | −5.61505 | −1.10120 | ||||||||
\(27\) | −0.809017 | − | 0.587785i | −0.155695 | − | 0.113119i | ||||
\(28\) | −1.11067 | − | 3.41829i | −0.209897 | − | 0.645996i | ||||
\(29\) | −1.20877 | − | 3.72022i | −0.224464 | − | 0.690828i | −0.998346 | − | 0.0574980i | \(-0.981688\pi\) |
0.773882 | − | 0.633330i | \(-0.218312\pi\) | |||||||
\(30\) | 3.76485 | − | 0.619872i | 0.687365 | − | 0.113173i | ||||
\(31\) | 0.837233 | − | 2.57674i | 0.150371 | − | 0.462796i | −0.847291 | − | 0.531129i | \(-0.821768\pi\) |
0.997663 | + | 0.0683330i | \(0.0217680\pi\) | |||||||
\(32\) | 4.80433 | 0.849294 | ||||||||
\(33\) | −1.82589 | + | 5.61950i | −0.317846 | + | 0.978229i | ||||
\(34\) | 3.73607 | − | 2.71441i | 0.640730 | − | 0.465518i | ||||
\(35\) | 4.05004 | + | 7.83013i | 0.684581 | + | 1.32353i | ||||
\(36\) | −0.737558 | − | 0.535867i | −0.122926 | − | 0.0893112i | ||||
\(37\) | 0.0168692 | − | 0.0122562i | 0.00277328 | − | 0.00201490i | −0.586398 | − | 0.810023i | \(-0.699454\pi\) |
0.589171 | + | 0.808008i | \(0.299454\pi\) | |||||||
\(38\) | −3.25535 | + | 2.36515i | −0.528087 | + | 0.383678i | ||||
\(39\) | −2.66220 | − | 1.93420i | −0.426293 | − | 0.309720i | ||||
\(40\) | −4.09740 | + | 0.674625i | −0.647855 | + | 0.106668i | ||||
\(41\) | −1.19098 | + | 0.865300i | −0.186000 | + | 0.135137i | −0.676889 | − | 0.736085i | \(-0.736672\pi\) |
0.490889 | + | 0.871222i | \(0.336672\pi\) | |||||||
\(42\) | 2.07882 | − | 6.39796i | 0.320769 | − | 0.987227i | ||||
\(43\) | 1.27279 | 0.194098 | 0.0970491 | − | 0.995280i | \(-0.469060\pi\) | ||||
0.0970491 | + | 0.995280i | \(0.469060\pi\) | |||||||
\(44\) | −1.66461 | + | 5.12314i | −0.250949 | + | 0.772342i | ||||
\(45\) | 1.99851 | + | 1.00297i | 0.297920 | + | 0.149515i | ||||
\(46\) | 0.308096 | + | 0.948222i | 0.0454263 | + | 0.139808i | ||||
\(47\) | 1.67907 | + | 5.16764i | 0.244917 | + | 0.753777i | 0.995650 | + | 0.0931716i | \(0.0297005\pi\) |
−0.750733 | + | 0.660606i | \(0.770299\pi\) | |||||||
\(48\) | 4.03877 | + | 2.93434i | 0.582947 | + | 0.423536i | ||||
\(49\) | 8.54276 | 1.22039 | ||||||||
\(50\) | −8.08145 | + | 2.73533i | −1.14289 | + | 0.386833i | ||||
\(51\) | 2.70636 | 0.378967 | ||||||||
\(52\) | −2.42705 | − | 1.76336i | −0.336571 | − | 0.244533i | ||||
\(53\) | 0.870050 | + | 2.67774i | 0.119511 | + | 0.367816i | 0.992861 | − | 0.119277i | \(-0.0380575\pi\) |
−0.873350 | + | 0.487092i | \(0.838058\pi\) | |||||||
\(54\) | −0.527295 | − | 1.62285i | −0.0717557 | − | 0.220841i | ||||
\(55\) | 1.98716 | − | 13.0619i | 0.267949 | − | 1.76127i | ||||
\(56\) | −2.26244 | + | 6.96308i | −0.302332 | + | 0.930481i | ||||
\(57\) | −2.35813 | −0.312343 | ||||||||
\(58\) | 2.06260 | − | 6.34804i | 0.270833 | − | 0.833539i | ||||
\(59\) | 3.79456 | − | 2.75691i | 0.494009 | − | 0.358919i | −0.312715 | − | 0.949847i | \(-0.601238\pi\) |
0.806724 | + | 0.590928i | \(0.201238\pi\) | |||||||
\(60\) | 1.82199 | + | 0.914384i | 0.235217 | + | 0.118046i | ||||
\(61\) | −4.51538 | − | 3.28061i | −0.578135 | − | 0.420040i | 0.259916 | − | 0.965631i | \(-0.416305\pi\) |
−0.838051 | + | 0.545591i | \(0.816305\pi\) | |||||||
\(62\) | 3.74018 | − | 2.71740i | 0.475004 | − | 0.345110i | ||||
\(63\) | 3.18949 | − | 2.31730i | 0.401838 | − | 0.291953i | ||||
\(64\) | −1.44528 | − | 1.05006i | −0.180660 | − | 0.131257i | ||||
\(65\) | 6.57641 | + | 3.30045i | 0.815704 | + | 0.409370i | ||||
\(66\) | −8.15681 | + | 5.92627i | −1.00403 | + | 0.729473i | ||||
\(67\) | 1.86361 | − | 5.73559i | 0.227676 | − | 0.700714i | −0.770333 | − | 0.637642i | \(-0.779910\pi\) |
0.998009 | − | 0.0630725i | \(-0.0200899\pi\) | |||||||
\(68\) | 2.46731 | 0.299206 | ||||||||
\(69\) | −0.180557 | + | 0.555698i | −0.0217365 | + | 0.0668982i | ||||
\(70\) | −2.26244 | + | 14.8714i | −0.270414 | + | 1.77747i | ||||
\(71\) | −2.50346 | − | 7.70487i | −0.297106 | − | 0.914400i | −0.982506 | − | 0.186232i | \(-0.940372\pi\) |
0.685399 | − | 0.728167i | \(-0.259628\pi\) | |||||||
\(72\) | 0.573870 | + | 1.76619i | 0.0676312 | + | 0.208147i | ||||
\(73\) | −10.7734 | − | 7.82730i | −1.26093 | − | 0.916116i | −0.262123 | − | 0.965035i | \(-0.584422\pi\) |
−0.998803 | + | 0.0489187i | \(0.984422\pi\) | |||||||
\(74\) | 0.0355801 | 0.00413611 | ||||||||
\(75\) | −4.77379 | − | 1.48692i | −0.551230 | − | 0.171695i | ||||
\(76\) | −2.14984 | −0.246604 | ||||||||
\(77\) | −18.8457 | − | 13.6922i | −2.14767 | − | 1.56037i | ||||
\(78\) | −1.73515 | − | 5.34023i | −0.196467 | − | 0.604662i | ||||
\(79\) | 5.14971 | + | 15.8492i | 0.579388 | + | 1.78317i | 0.620726 | + | 0.784028i | \(0.286838\pi\) |
−0.0413379 | + | 0.999145i | \(0.513162\pi\) | |||||||
\(80\) | −9.97696 | − | 5.00705i | −1.11546 | − | 0.559805i | ||||
\(81\) | 0.309017 | − | 0.951057i | 0.0343352 | − | 0.105673i | ||||
\(82\) | −2.51200 | −0.277404 | ||||||||
\(83\) | 0.241540 | − | 0.743385i | 0.0265125 | − | 0.0815971i | −0.936925 | − | 0.349531i | \(-0.886341\pi\) |
0.963437 | + | 0.267934i | \(0.0863409\pi\) | |||||||
\(84\) | 2.90777 | − | 2.11262i | 0.317264 | − | 0.230506i | ||||
\(85\) | −5.97122 | + | 0.983144i | −0.647669 | + | 0.106637i | ||||
\(86\) | 1.75705 | + | 1.27657i | 0.189468 | + | 0.137656i | ||||
\(87\) | 3.16461 | − | 2.29922i | 0.339282 | − | 0.246503i | ||||
\(88\) | 8.87728 | − | 6.44972i | 0.946322 | − | 0.687543i | ||||
\(89\) | 2.80994 | + | 2.04154i | 0.297853 | + | 0.216403i | 0.726667 | − | 0.686990i | \(-0.241068\pi\) |
−0.428814 | + | 0.903393i | \(0.641068\pi\) | |||||||
\(90\) | 1.75294 | + | 3.38904i | 0.184776 | + | 0.357236i | ||||
\(91\) | 10.4955 | − | 7.62545i | 1.10023 | − | 0.799364i | ||||
\(92\) | −0.164609 | + | 0.506614i | −0.0171617 | + | 0.0528182i | ||||
\(93\) | 2.70934 | 0.280946 | ||||||||
\(94\) | −2.86510 | + | 8.81786i | −0.295512 | + | 0.909493i | ||||
\(95\) | 5.20290 | − | 0.856643i | 0.533806 | − | 0.0878897i | ||||
\(96\) | 1.48462 | + | 4.56919i | 0.151523 | + | 0.466341i | ||||
\(97\) | −0.758460 | − | 2.33430i | −0.0770099 | − | 0.237012i | 0.905139 | − | 0.425115i | \(-0.139766\pi\) |
−0.982149 | + | 0.188103i | \(0.939766\pi\) | |||||||
\(98\) | 11.7931 | + | 8.56817i | 1.19128 | + | 0.865515i | ||||
\(99\) | −5.90869 | −0.593846 | ||||||||
\(100\) | −4.35213 | − | 1.35559i | −0.435213 | − | 0.135559i | ||||
\(101\) | −6.87495 | −0.684083 | −0.342042 | − | 0.939685i | \(-0.611118\pi\) | ||||
−0.342042 | + | 0.939685i | \(0.611118\pi\) | |||||||
\(102\) | 3.73607 | + | 2.71441i | 0.369926 | + | 0.268767i | ||||
\(103\) | 3.63192 | + | 11.1779i | 0.357864 | + | 1.10139i | 0.954330 | + | 0.298754i | \(0.0965710\pi\) |
−0.596466 | + | 0.802638i | \(0.703429\pi\) | |||||||
\(104\) | 1.88841 | + | 5.81193i | 0.185174 | + | 0.569906i | ||||
\(105\) | −6.19537 | + | 6.27146i | −0.604606 | + | 0.612032i | ||||
\(106\) | −1.48462 | + | 4.56919i | −0.144199 | + | 0.443799i | ||||
\(107\) | 5.66780 | 0.547927 | 0.273964 | − | 0.961740i | \(-0.411665\pi\) | ||||
0.273964 | + | 0.961740i | \(0.411665\pi\) | |||||||
\(108\) | 0.281722 | − | 0.867051i | 0.0271087 | − | 0.0834321i | ||||
\(109\) | 1.10130 | − | 0.800139i | 0.105485 | − | 0.0766394i | −0.533792 | − | 0.845616i | \(-0.679234\pi\) |
0.639277 | + | 0.768976i | \(0.279234\pi\) | |||||||
\(110\) | 15.8440 | − | 16.0386i | 1.51067 | − | 1.52922i | ||||
\(111\) | 0.0168692 | + | 0.0122562i | 0.00160115 | + | 0.00116330i | ||||
\(112\) | −15.9226 | + | 11.5684i | −1.50454 | + | 1.09311i | ||||
\(113\) | 8.64489 | − | 6.28088i | 0.813243 | − | 0.590856i | −0.101526 | − | 0.994833i | \(-0.532373\pi\) |
0.914769 | + | 0.403977i | \(0.132373\pi\) | |||||||
\(114\) | −3.25535 | − | 2.36515i | −0.304891 | − | 0.221516i | ||||
\(115\) | 0.196506 | − | 1.29166i | 0.0183242 | − | 0.120448i | ||||
\(116\) | 2.88508 | − | 2.09614i | 0.267873 | − | 0.194621i | ||||
\(117\) | 1.01687 | − | 3.12960i | 0.0940096 | − | 0.289332i | ||||
\(118\) | 8.00341 | 0.736773 | ||||||||
\(119\) | −3.29710 | + | 10.1474i | −0.302245 | + | 0.930214i | ||||
\(120\) | −1.90777 | − | 3.68838i | −0.174155 | − | 0.336702i | ||||
\(121\) | 7.38941 | + | 22.7423i | 0.671765 | + | 2.06748i | ||||
\(122\) | −2.94300 | − | 9.05762i | −0.266447 | − | 0.820038i | ||||
\(123\) | −1.19098 | − | 0.865300i | −0.107387 | − | 0.0780215i | ||||
\(124\) | 2.47003 | 0.221815 | ||||||||
\(125\) | 11.0729 | + | 1.54651i | 0.990387 | + | 0.138324i | ||||
\(126\) | 6.72721 | 0.599308 | ||||||||
\(127\) | 10.9563 | + | 7.96023i | 0.972216 | + | 0.706356i | 0.955956 | − | 0.293511i | \(-0.0948239\pi\) |
0.0162606 | + | 0.999868i | \(0.494824\pi\) | |||||||
\(128\) | −3.91123 | − | 12.0375i | −0.345708 | − | 1.06398i | ||||
\(129\) | 0.393313 | + | 1.21049i | 0.0346292 | + | 0.106578i | ||||
\(130\) | 5.76832 | + | 11.1522i | 0.505915 | + | 0.978109i | ||||
\(131\) | 1.41912 | − | 4.36759i | 0.123989 | − | 0.381599i | −0.869727 | − | 0.493534i | \(-0.835705\pi\) |
0.993716 | + | 0.111935i | \(0.0357049\pi\) | |||||||
\(132\) | −5.38679 | −0.468860 | ||||||||
\(133\) | 2.87286 | − | 8.84176i | 0.249109 | − | 0.766678i | ||||
\(134\) | 8.32532 | − | 6.04870i | 0.719198 | − | 0.522528i | ||||
\(135\) | −0.336312 | + | 2.21063i | −0.0289451 | + | 0.190261i | ||||
\(136\) | −4.06607 | − | 2.95417i | −0.348662 | − | 0.253318i | ||||
\(137\) | −12.3472 | + | 8.97078i | −1.05489 | + | 0.766426i | −0.973137 | − | 0.230227i | \(-0.926053\pi\) |
−0.0817573 | + | 0.996652i | \(0.526053\pi\) | |||||||
\(138\) | −0.806606 | + | 0.586034i | −0.0686629 | + | 0.0498865i | ||||
\(139\) | −14.7550 | − | 10.7201i | −1.25150 | − | 0.909269i | −0.253194 | − | 0.967416i | \(-0.581481\pi\) |
−0.998308 | + | 0.0581460i | \(0.981481\pi\) | |||||||
\(140\) | −5.64814 | + | 5.71751i | −0.477355 | + | 0.483218i | ||||
\(141\) | −4.39586 | + | 3.19378i | −0.370198 | + | 0.268964i | ||||
\(142\) | 4.27182 | − | 13.1473i | 0.358483 | − | 1.10330i | ||||
\(143\) | −19.4435 | −1.62595 | ||||||||
\(144\) | −1.54267 | + | 4.74786i | −0.128556 | + | 0.395655i | ||||
\(145\) | −6.14703 | + | 6.22253i | −0.510483 | + | 0.516753i | ||||
\(146\) | −7.02177 | − | 21.6108i | −0.581126 | − | 1.78852i | ||||
\(147\) | 2.63986 | + | 8.12464i | 0.217732 | + | 0.670109i | ||||
\(148\) | 0.0153792 | + | 0.0111736i | 0.00126416 | + | 0.000918465i | ||||
\(149\) | 14.7323 | 1.20692 | 0.603458 | − | 0.797394i | \(-0.293789\pi\) | ||||
0.603458 | + | 0.797394i | \(0.293789\pi\) | |||||||
\(150\) | −5.09875 | − | 6.84065i | −0.416312 | − | 0.558537i | ||||
\(151\) | −17.4354 | −1.41887 | −0.709437 | − | 0.704769i | \(-0.751051\pi\) | ||||
−0.709437 | + | 0.704769i | \(0.751051\pi\) | |||||||
\(152\) | 3.54289 | + | 2.57406i | 0.287366 | + | 0.208784i | ||||
\(153\) | 0.836312 | + | 2.57390i | 0.0676118 | + | 0.208088i | ||||
\(154\) | −12.2831 | − | 37.8036i | −0.989803 | − | 3.04630i | ||||
\(155\) | −5.97779 | + | 0.984226i | −0.480148 | + | 0.0790549i | ||||
\(156\) | 0.927051 | − | 2.85317i | 0.0742235 | − | 0.228436i | ||||
\(157\) | 17.9105 | 1.42942 | 0.714708 | − | 0.699423i | \(-0.246560\pi\) | ||||
0.714708 | + | 0.699423i | \(0.246560\pi\) | |||||||
\(158\) | −8.78728 | + | 27.0445i | −0.699078 | + | 2.15154i | ||||
\(159\) | −2.27782 | + | 1.65493i | −0.180643 | + | 0.131245i | ||||
\(160\) | −4.93547 | − | 9.54197i | −0.390183 | − | 0.754359i | ||||
\(161\) | −1.86361 | − | 1.35399i | −0.146873 | − | 0.106709i | ||||
\(162\) | 1.38048 | − | 1.00297i | 0.108460 | − | 0.0788011i | ||||
\(163\) | −17.6041 | + | 12.7901i | −1.37886 | + | 1.00180i | −0.381870 | + | 0.924216i | \(0.624720\pi\) |
−0.996986 | + | 0.0775819i | \(0.975280\pi\) | |||||||
\(164\) | −1.08579 | − | 0.788869i | −0.0847856 | − | 0.0616004i | ||||
\(165\) | 13.0367 | − | 2.14646i | 1.01491 | − | 0.167102i | ||||
\(166\) | 1.07904 | − | 0.783966i | 0.0837495 | − | 0.0608475i | ||||
\(167\) | −6.98470 | + | 21.4967i | −0.540492 | + | 1.66346i | 0.190980 | + | 0.981594i | \(0.438833\pi\) |
−0.731473 | + | 0.681871i | \(0.761167\pi\) | |||||||
\(168\) | −7.32142 | −0.564860 | ||||||||
\(169\) | −0.671052 | + | 2.06529i | −0.0516194 | + | 0.158868i | ||||
\(170\) | −9.22919 | − | 4.63177i | −0.707846 | − | 0.355241i | ||||
\(171\) | −0.728704 | − | 2.24272i | −0.0557254 | − | 0.171505i | ||||
\(172\) | 0.358572 | + | 1.10357i | 0.0273409 | + | 0.0841465i | ||||
\(173\) | −10.4458 | − | 7.58929i | −0.794177 | − | 0.577003i | 0.115023 | − | 0.993363i | \(-0.463306\pi\) |
−0.909200 | + | 0.416360i | \(0.863306\pi\) | |||||||
\(174\) | 6.67473 | 0.506010 | ||||||||
\(175\) | 11.3910 | − | 16.0877i | 0.861077 | − | 1.21612i | ||||
\(176\) | 29.4974 | 2.22345 | ||||||||
\(177\) | 3.79456 | + | 2.75691i | 0.285216 | + | 0.207222i | ||||
\(178\) | 1.83144 | + | 5.63659i | 0.137272 | + | 0.422480i | ||||
\(179\) | −1.98716 | − | 6.11586i | −0.148528 | − | 0.457121i | 0.848920 | − | 0.528521i | \(-0.177253\pi\) |
−0.997448 | + | 0.0714002i | \(0.977253\pi\) | |||||||
\(180\) | −0.306606 | + | 2.01537i | −0.0228531 | + | 0.150217i | ||||
\(181\) | 4.54473 | − | 13.9873i | 0.337807 | − | 1.03966i | −0.627515 | − | 0.778604i | \(-0.715928\pi\) |
0.965323 | − | 0.261060i | \(-0.0840720\pi\) | |||||||
\(182\) | 22.1370 | 1.64090 | ||||||||
\(183\) | 1.72472 | − | 5.30815i | 0.127495 | − | 0.392389i | ||||
\(184\) | 0.877852 | − | 0.637797i | 0.0647161 | − | 0.0470190i | ||||
\(185\) | −0.0416718 | − | 0.0209135i | −0.00306377 | − | 0.00153759i | ||||
\(186\) | 3.74018 | + | 2.71740i | 0.274243 | + | 0.199250i | ||||
\(187\) | 12.9370 | − | 9.39931i | 0.946050 | − | 0.687346i | ||||
\(188\) | −4.00758 | + | 2.91168i | −0.292283 | + | 0.212356i | ||||
\(189\) | 3.18949 | + | 2.31730i | 0.232001 | + | 0.168559i | ||||
\(190\) | 8.04167 | + | 4.03580i | 0.583404 | + | 0.292788i | ||||
\(191\) | −5.43095 | + | 3.94582i | −0.392970 | + | 0.285509i | −0.766671 | − | 0.642040i | \(-0.778088\pi\) |
0.373702 | + | 0.927549i | \(0.378088\pi\) | |||||||
\(192\) | 0.552047 | − | 1.69903i | 0.0398406 | − | 0.122617i | ||||
\(193\) | 4.82817 | 0.347539 | 0.173769 | − | 0.984786i | \(-0.444405\pi\) | ||||
0.173769 | + | 0.984786i | \(0.444405\pi\) | |||||||
\(194\) | 1.29421 | − | 3.98316i | 0.0929186 | − | 0.285974i | ||||
\(195\) | −1.10669 | + | 7.27443i | −0.0792515 | + | 0.520933i | ||||
\(196\) | 2.40668 | + | 7.40701i | 0.171906 | + | 0.529072i | ||||
\(197\) | −4.44492 | − | 13.6801i | −0.316688 | − | 0.974664i | −0.975054 | − | 0.221967i | \(-0.928752\pi\) |
0.658367 | − | 0.752697i | \(-0.271248\pi\) | |||||||
\(198\) | −8.15681 | − | 5.92627i | −0.579679 | − | 0.421161i | ||||
\(199\) | −8.72608 | −0.618575 | −0.309288 | − | 0.950969i | \(-0.600091\pi\) | ||||
−0.309288 | + | 0.950969i | \(0.600091\pi\) | |||||||
\(200\) | 5.54912 | + | 7.44487i | 0.392382 | + | 0.526432i | ||||
\(201\) | 6.03076 | 0.425377 | ||||||||
\(202\) | −9.49071 | − | 6.89540i | −0.667764 | − | 0.485159i | ||||
\(203\) | 4.76550 | + | 14.6667i | 0.334473 | + | 1.02940i | ||||
\(204\) | 0.762442 | + | 2.34656i | 0.0533816 | + | 0.164292i | ||||
\(205\) | 2.94208 | + | 1.47651i | 0.205484 | + | 0.103124i | ||||
\(206\) | −6.19738 | + | 19.0736i | −0.431792 | + | 1.32892i | ||||
\(207\) | −0.584296 | −0.0406114 | ||||||||
\(208\) | −5.07641 | + | 15.6236i | −0.351986 | + | 1.08330i | ||||
\(209\) | −11.2724 | + | 8.18990i | −0.779730 | + | 0.566507i | ||||
\(210\) | −14.8427 | + | 2.44380i | −1.02424 | + | 0.168638i | ||||
\(211\) | −2.40777 | − | 1.74935i | −0.165758 | − | 0.120430i | 0.501814 | − | 0.864976i | \(-0.332666\pi\) |
−0.667572 | + | 0.744546i | \(0.732666\pi\) | |||||||
\(212\) | −2.07663 | + | 1.50876i | −0.142623 | + | 0.103622i | ||||
\(213\) | 6.55415 | − | 4.76187i | 0.449083 | − | 0.326278i | ||||
\(214\) | 7.82426 | + | 5.68466i | 0.534856 | + | 0.388595i | ||||
\(215\) | −1.30753 | − | 2.52790i | −0.0891726 | − | 0.172402i | ||||
\(216\) | −1.50241 | + | 1.09157i | −0.102226 | + | 0.0742716i | ||||
\(217\) | −3.30073 | + | 10.1586i | −0.224068 | + | 0.689611i | ||||
\(218\) | 2.32283 | 0.157322 | ||||||||
\(219\) | 4.11505 | − | 12.6648i | 0.278070 | − | 0.855810i | ||||
\(220\) | 11.8852 | − | 1.95687i | 0.801300 | − | 0.131932i | ||||
\(221\) | 2.75202 | + | 8.46984i | 0.185121 | + | 0.569743i | ||||
\(222\) | 0.0109949 | + | 0.0338387i | 0.000737927 | + | 0.00227111i | ||||
\(223\) | 0.246494 | + | 0.179088i | 0.0165064 | + | 0.0119926i | 0.596008 | − | 0.802979i | \(-0.296753\pi\) |
−0.579501 | + | 0.814971i | \(0.696753\pi\) | |||||||
\(224\) | −18.9408 | −1.26553 | ||||||||
\(225\) | −0.0610333 | − | 4.99963i | −0.00406888 | − | 0.333308i | ||||
\(226\) | 18.2336 | 1.21288 | ||||||||
\(227\) | 7.74408 | + | 5.62641i | 0.513993 | + | 0.373438i | 0.814336 | − | 0.580394i | \(-0.197101\pi\) |
−0.300343 | + | 0.953831i | \(0.597101\pi\) | |||||||
\(228\) | −0.664339 | − | 2.04462i | −0.0439969 | − | 0.135409i | ||||
\(229\) | 3.74812 | + | 11.5355i | 0.247682 | + | 0.762288i | 0.995184 | + | 0.0980277i | \(0.0312534\pi\) |
−0.747501 | + | 0.664260i | \(0.768747\pi\) | |||||||
\(230\) | 1.56678 | − | 1.58602i | 0.103310 | − | 0.104579i | ||||
\(231\) | 7.19843 | − | 22.1545i | 0.473622 | − | 1.45766i | ||||
\(232\) | −7.26430 | −0.476924 | ||||||||
\(233\) | 6.21132 | − | 19.1165i | 0.406917 | − | 1.25236i | −0.512367 | − | 0.858766i | \(-0.671231\pi\) |
0.919284 | − | 0.393595i | \(-0.128769\pi\) | |||||||
\(234\) | 4.54267 | − | 3.30045i | 0.296964 | − | 0.215757i | ||||
\(235\) | 8.53864 | − | 8.64351i | 0.557000 | − | 0.563841i | ||||
\(236\) | 3.45939 | + | 2.51340i | 0.225187 | + | 0.163608i | ||||
\(237\) | −13.4821 | + | 9.79534i | −0.875758 | + | 0.636275i | ||||
\(238\) | −14.7292 | + | 10.7014i | −0.954751 | + | 0.693667i | ||||
\(239\) | −14.2902 | − | 10.3825i | −0.924358 | − | 0.671585i | 0.0202473 | − | 0.999795i | \(-0.493555\pi\) |
−0.944605 | + | 0.328210i | \(0.893555\pi\) | |||||||
\(240\) | 1.67894 | − | 11.0359i | 0.108375 | − | 0.712365i | ||||
\(241\) | −23.8973 | + | 17.3624i | −1.53936 | + | 1.11841i | −0.588630 | + | 0.808403i | \(0.700332\pi\) |
−0.950733 | + | 0.310010i | \(0.899668\pi\) | |||||||
\(242\) | −12.6090 | + | 38.8066i | −0.810538 | + | 2.49458i | ||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | 1.57238 | − | 4.83929i | 0.100661 | − | 0.309804i | ||||
\(245\) | −8.77593 | − | 16.9669i | −0.560674 | − | 1.08398i | ||||
\(246\) | −0.776250 | − | 2.38905i | −0.0494919 | − | 0.152320i | ||||
\(247\) | −2.39791 | − | 7.38002i | −0.152576 | − | 0.469580i | ||||
\(248\) | −4.07055 | − | 2.95742i | −0.258480 | − | 0.187797i | ||||
\(249\) | 0.781641 | 0.0495345 | ||||||||
\(250\) | 13.7347 | + | 13.2407i | 0.868659 | + | 0.837417i | ||||
\(251\) | 1.89396 | 0.119546 | 0.0597729 | − | 0.998212i | \(-0.480962\pi\) | ||||
0.0597729 | + | 0.998212i | \(0.480962\pi\) | |||||||
\(252\) | 2.90777 | + | 2.11262i | 0.183172 | + | 0.133083i | ||||
\(253\) | 1.06686 | + | 3.28345i | 0.0670727 | + | 0.206429i | ||||
\(254\) | 7.14103 | + | 21.9778i | 0.448068 | + | 1.37901i | ||||
\(255\) | −2.78023 | − | 5.37515i | −0.174105 | − | 0.336605i | ||||
\(256\) | 5.56989 | − | 17.1424i | 0.348118 | − | 1.07140i | ||||
\(257\) | 22.1211 | 1.37988 | 0.689938 | − | 0.723869i | \(-0.257638\pi\) | ||||
0.689938 | + | 0.723869i | \(0.257638\pi\) | |||||||
\(258\) | −0.671134 | + | 2.06554i | −0.0417830 | + | 0.128595i | ||||
\(259\) | −0.0665056 | + | 0.0483191i | −0.00413245 | + | 0.00300240i | ||||
\(260\) | −1.00894 | + | 6.63190i | −0.0625715 | + | 0.411293i | ||||
\(261\) | 3.16461 | + | 2.29922i | 0.195884 | + | 0.142318i | ||||
\(262\) | 6.33964 | − | 4.60602i | 0.391664 | − | 0.284561i | ||||
\(263\) | 15.9500 | − | 11.5884i | 0.983520 | − | 0.714569i | 0.0250272 | − | 0.999687i | \(-0.492033\pi\) |
0.958492 | + | 0.285118i | \(0.0920328\pi\) | |||||||
\(264\) | 8.87728 | + | 6.44972i | 0.546359 | + | 0.396953i | ||||
\(265\) | 4.42451 | − | 4.47885i | 0.271795 | − | 0.275134i | ||||
\(266\) | 12.8340 | − | 9.32443i | 0.786902 | − | 0.571718i | ||||
\(267\) | −1.07330 | + | 3.30328i | −0.0656849 | + | 0.202157i | ||||
\(268\) | 5.49807 | 0.335848 | ||||||||
\(269\) | 5.61321 | − | 17.2757i | 0.342244 | − | 1.05332i | −0.620799 | − | 0.783970i | \(-0.713192\pi\) |
0.963043 | − | 0.269348i | \(-0.0868082\pi\) | |||||||
\(270\) | −2.68148 | + | 2.71441i | −0.163190 | + | 0.165194i | ||||
\(271\) | 6.97436 | + | 21.4649i | 0.423662 | + | 1.30390i | 0.904270 | + | 0.426962i | \(0.140416\pi\) |
−0.480608 | + | 0.876936i | \(0.659584\pi\) | |||||||
\(272\) | −4.17503 | − | 12.8494i | −0.253149 | − | 0.779111i | ||||
\(273\) | 10.4955 | + | 7.62545i | 0.635218 | + | 0.461513i | ||||
\(274\) | −26.0425 | −1.57329 | ||||||||
\(275\) | −27.9840 | + | 9.47173i | −1.68750 | + | 0.571167i | ||||
\(276\) | −0.532686 | −0.0320639 | ||||||||
\(277\) | −6.67837 | − | 4.85212i | −0.401264 | − | 0.291535i | 0.368792 | − | 0.929512i | \(-0.379772\pi\) |
−0.770056 | + | 0.637977i | \(0.779772\pi\) | |||||||
\(278\) | −9.61690 | − | 29.5978i | −0.576783 | − | 1.77516i | ||||
\(279\) | 0.837233 | + | 2.57674i | 0.0501238 | + | 0.154265i | ||||
\(280\) | 16.1537 | − | 2.65966i | 0.965368 | − | 0.158945i | ||||
\(281\) | 0.395941 | − | 1.21858i | 0.0236199 | − | 0.0726944i | −0.938552 | − | 0.345138i | \(-0.887832\pi\) |
0.962172 | + | 0.272444i | \(0.0878320\pi\) | |||||||
\(282\) | −9.27165 | −0.552119 | ||||||||
\(283\) | 0.825484 | − | 2.54058i | 0.0490699 | − | 0.151022i | −0.923519 | − | 0.383552i | \(-0.874701\pi\) |
0.972589 | + | 0.232531i | \(0.0747006\pi\) | |||||||
\(284\) | 5.97524 | − | 4.34126i | 0.354565 | − | 0.257607i | ||||
\(285\) | 2.42250 | + | 4.68353i | 0.143496 | + | 0.277429i | ||||
\(286\) | −26.8413 | − | 19.5013i | −1.58716 | − | 1.15314i | ||||
\(287\) | 4.69537 | − | 3.41138i | 0.277159 | − | 0.201368i | ||||
\(288\) | −3.88679 | + | 2.82392i | −0.229031 | + | 0.166401i | ||||
\(289\) | 7.82773 | + | 5.68718i | 0.460455 | + | 0.334540i | ||||
\(290\) | −14.7269 | + | 2.42474i | −0.864792 | + | 0.142385i | ||||
\(291\) | 1.98567 | − | 1.44268i | 0.116402 | − | 0.0845712i | ||||
\(292\) | 3.75158 | − | 11.5462i | 0.219545 | − | 0.675689i | ||||
\(293\) | 17.6605 | 1.03174 | 0.515870 | − | 0.856667i | \(-0.327469\pi\) | ||||
0.515870 | + | 0.856667i | \(0.327469\pi\) | |||||||
\(294\) | −4.50455 | + | 13.8636i | −0.262711 | + | 0.808541i | ||||
\(295\) | −9.37368 | − | 4.70428i | −0.545757 | − | 0.273894i | ||||
\(296\) | −0.0119660 | − | 0.0368276i | −0.000695511 | − | 0.00214056i | ||||
\(297\) | −1.82589 | − | 5.61950i | −0.105949 | − | 0.326076i | ||||
\(298\) | 20.3376 | + | 14.7761i | 1.17812 | + | 0.855958i | ||||
\(299\) | −1.92272 | −0.111194 | ||||||||
\(300\) | −0.0556423 | − | 4.55802i | −0.00321251 | − | 0.263157i | ||||
\(301\) | −5.01787 | −0.289225 | ||||||||
\(302\) | −24.0692 | − | 17.4873i | −1.38503 | − | 1.00628i | ||||
\(303\) | −2.12448 | − | 6.53847i | −0.122048 | − | 0.375625i | ||||
\(304\) | 3.63783 | + | 11.1961i | 0.208644 | + | 0.642140i | ||||
\(305\) | −1.87706 | + | 12.3382i | −0.107480 | + | 0.706485i | ||||
\(306\) | −1.42705 | + | 4.39201i | −0.0815791 | + | 0.251075i | ||||
\(307\) | −28.5593 | −1.62997 | −0.814983 | − | 0.579484i | \(-0.803254\pi\) | ||||
−0.814983 | + | 0.579484i | \(0.803254\pi\) | |||||||
\(308\) | 6.56260 | − | 20.1976i | 0.373939 | − | 1.15087i | ||||
\(309\) | −9.50850 | + | 6.90833i | −0.540920 | + | 0.393001i | ||||
\(310\) | −9.23935 | − | 4.63687i | −0.524760 | − | 0.263357i | ||||
\(311\) | 23.7271 | + | 17.2388i | 1.34544 | + | 0.977521i | 0.999225 | + | 0.0393664i | \(0.0125340\pi\) |
0.346217 | + | 0.938154i | \(0.387466\pi\) | |||||||
\(312\) | −4.94392 | + | 3.59197i | −0.279894 | + | 0.203355i | ||||
\(313\) | 14.1523 | − | 10.2823i | 0.799937 | − | 0.581189i | −0.110958 | − | 0.993825i | \(-0.535392\pi\) |
0.910896 | + | 0.412637i | \(0.135392\pi\) | |||||||
\(314\) | 24.7251 | + | 17.9638i | 1.39532 | + | 1.01376i | ||||
\(315\) | −7.87899 | − | 3.95416i | −0.443931 | − | 0.222792i | ||||
\(316\) | −12.2913 | + | 8.93013i | −0.691438 | + | 0.502359i | ||||
\(317\) | 1.21061 | − | 3.72589i | 0.0679949 | − | 0.209267i | −0.911286 | − | 0.411775i | \(-0.864909\pi\) |
0.979281 | + | 0.202508i | \(0.0649091\pi\) | |||||||
\(318\) | −4.80433 | −0.269414 | ||||||||
\(319\) | 7.14227 | − | 21.9816i | 0.399890 | − | 1.23074i | ||||
\(320\) | −0.600809 | + | 3.94921i | −0.0335862 | + | 0.220768i | ||||
\(321\) | 1.75145 | + | 5.39040i | 0.0977562 | + | 0.300863i | ||||
\(322\) | −1.21465 | − | 3.73830i | −0.0676897 | − | 0.208327i | ||||
\(323\) | 5.16312 | + | 3.75123i | 0.287284 | + | 0.208724i | ||||
\(324\) | 0.911672 | 0.0506484 | ||||||||
\(325\) | −0.200840 | − | 16.4521i | −0.0111406 | − | 0.912596i | ||||
\(326\) | −37.1301 | −2.05645 | ||||||||
\(327\) | 1.10130 | + | 0.800139i | 0.0609018 | + | 0.0442478i | ||||
\(328\) | 0.844815 | + | 2.60007i | 0.0466471 | + | 0.143565i | ||||
\(329\) | −6.61961 | − | 20.3731i | −0.364951 | − | 1.12320i | ||||
\(330\) | 20.1497 | + | 10.1124i | 1.10921 | + | 0.556667i | ||||
\(331\) | −5.42429 | + | 16.6942i | −0.298146 | + | 0.917599i | 0.684001 | + | 0.729481i | \(0.260238\pi\) |
−0.982147 | + | 0.188117i | \(0.939762\pi\) | |||||||
\(332\) | 0.712600 | 0.0391090 | ||||||||
\(333\) | −0.00644345 | + | 0.0198309i | −0.000353099 | + | 0.00108673i | ||||
\(334\) | −31.2029 | + | 22.6702i | −1.70734 | + | 1.24046i | ||||
\(335\) | −13.3060 | + | 2.19080i | −0.726986 | + | 0.119696i | ||||
\(336\) | −15.9226 | − | 11.5684i | −0.868648 | − | 0.631110i | ||||
\(337\) | 11.3647 | − | 8.25697i | 0.619077 | − | 0.449786i | −0.233522 | − | 0.972352i | \(-0.575025\pi\) |
0.852599 | + | 0.522566i | \(0.175025\pi\) | |||||||
\(338\) | −2.99780 | + | 2.17803i | −0.163059 | + | 0.118469i | ||||
\(339\) | 8.64489 | + | 6.28088i | 0.469526 | + | 0.341131i | ||||
\(340\) | −2.53466 | − | 4.90038i | −0.137461 | − | 0.265760i | ||||
\(341\) | 12.9513 | − | 9.40966i | 0.701351 | − | 0.509562i | ||||
\(342\) | 1.24343 | − | 3.82689i | 0.0672371 | − | 0.206935i | ||||
\(343\) | −6.08221 | −0.328408 | ||||||||
\(344\) | 0.730414 | − | 2.24798i | 0.0393813 | − | 0.121203i | ||||
\(345\) | 1.28917 | − | 0.212258i | 0.0694065 | − | 0.0114276i | ||||
\(346\) | −6.80826 | − | 20.9537i | −0.366014 | − | 1.12648i | ||||
\(347\) | −0.318440 | − | 0.980059i | −0.0170948 | − | 0.0526123i | 0.942145 | − | 0.335205i | \(-0.108806\pi\) |
−0.959240 | + | 0.282593i | \(0.908806\pi\) | |||||||
\(348\) | 2.88508 | + | 2.09614i | 0.154657 | + | 0.112365i | ||||
\(349\) | 21.5626 | 1.15422 | 0.577109 | − | 0.816667i | \(-0.304181\pi\) | ||||
0.577109 | + | 0.816667i | \(0.304181\pi\) | |||||||
\(350\) | 31.8605 | − | 10.7838i | 1.70302 | − | 0.576420i | ||||
\(351\) | 3.29066 | 0.175642 | ||||||||
\(352\) | 22.9658 | + | 16.6857i | 1.22408 | + | 0.889348i | ||||
\(353\) | 2.21140 | + | 6.80599i | 0.117701 | + | 0.362246i | 0.992501 | − | 0.122238i | \(-0.0390072\pi\) |
−0.874800 | + | 0.484485i | \(0.839007\pi\) | |||||||
\(354\) | 2.47319 | + | 7.61169i | 0.131448 | + | 0.404557i | ||||
\(355\) | −12.7310 | + | 12.8873i | −0.675690 | + | 0.683989i | ||||
\(356\) | −0.978498 | + | 3.01151i | −0.0518603 | + | 0.159610i | ||||
\(357\) | −10.6696 | −0.564697 | ||||||||
\(358\) | 3.39082 | − | 10.4359i | 0.179210 | − | 0.551553i | ||||
\(359\) | −21.9663 | + | 15.9595i | −1.15934 | + | 0.842308i | −0.989694 | − | 0.143198i | \(-0.954262\pi\) |
−0.169643 | + | 0.985506i | \(0.554262\pi\) | |||||||
\(360\) | 2.91833 | − | 2.95417i | 0.153809 | − | 0.155699i | ||||
\(361\) | 10.8725 | + | 7.89936i | 0.572239 | + | 0.415756i | ||||
\(362\) | 20.3028 | − | 14.7508i | 1.06709 | − | 0.775285i | ||||
\(363\) | −19.3457 | + | 14.0555i | −1.01539 | + | 0.737722i | ||||
\(364\) | 9.56848 | + | 6.95191i | 0.501525 | + | 0.364379i | ||||
\(365\) | −4.47853 | + | 29.4381i | −0.234417 | + | 1.54086i | ||||
\(366\) | 7.70487 | − | 5.59792i | 0.402740 | − | 0.292608i | ||||
\(367\) | 6.62605 | − | 20.3929i | 0.345877 | − | 1.06450i | −0.615236 | − | 0.788343i | \(-0.710939\pi\) |
0.961113 | − | 0.276157i | \(-0.0890608\pi\) | |||||||
\(368\) | 2.91692 | 0.152055 | ||||||||
\(369\) | 0.454915 | − | 1.40008i | 0.0236819 | − | 0.0728855i | ||||
\(370\) | −0.0365513 | − | 0.0706663i | −0.00190021 | − | 0.00367377i | ||||
\(371\) | −3.43011 | − | 10.5568i | −0.178083 | − | 0.548082i | ||||
\(372\) | 0.763282 | + | 2.34914i | 0.0395743 | + | 0.121797i | ||||
\(373\) | −5.17021 | − | 3.75638i | −0.267703 | − | 0.194498i | 0.445833 | − | 0.895116i | \(-0.352908\pi\) |
−0.713536 | + | 0.700618i | \(0.752908\pi\) | |||||||
\(374\) | 27.2865 | 1.41095 | ||||||||
\(375\) | 1.95088 | + | 11.0088i | 0.100743 | + | 0.568493i | ||||
\(376\) | 10.0906 | 0.520383 | ||||||||
\(377\) | 10.4136 | + | 7.56596i | 0.536330 | + | 0.389667i | ||||
\(378\) | 2.07882 | + | 6.39796i | 0.106923 | + | 0.329076i | ||||
\(379\) | −0.0477946 | − | 0.147097i | −0.00245504 | − | 0.00755585i | 0.949821 | − | 0.312792i | \(-0.101264\pi\) |
−0.952277 | + | 0.305237i | \(0.901264\pi\) | |||||||
\(380\) | 2.20852 | + | 4.26985i | 0.113295 | + | 0.219038i | ||||
\(381\) | −4.18494 | + | 12.8799i | −0.214401 | + | 0.659859i | ||||
\(382\) | −11.4549 | −0.586081 | ||||||||
\(383\) | −1.31489 | + | 4.04682i | −0.0671878 | + | 0.206783i | −0.979014 | − | 0.203794i | \(-0.934673\pi\) |
0.911826 | + | 0.410577i | \(0.134673\pi\) | |||||||
\(384\) | 10.2397 | − | 7.43961i | 0.522545 | − | 0.379651i | ||||
\(385\) | −7.83425 | + | 51.4958i | −0.399270 | + | 2.62447i | ||||
\(386\) | 6.66517 | + | 4.84253i | 0.339248 | + | 0.246478i | ||||
\(387\) | −1.02971 | + | 0.748125i | −0.0523429 | + | 0.0380293i | ||||
\(388\) | 1.81028 | − | 1.31525i | 0.0919032 | − | 0.0667716i | ||||
\(389\) | 16.4782 | + | 11.9721i | 0.835479 | + | 0.607011i | 0.921104 | − | 0.389316i | \(-0.127289\pi\) |
−0.0856250 | + | 0.996327i | \(0.527289\pi\) | |||||||
\(390\) | −8.82383 | + | 8.93220i | −0.446812 | + | 0.452300i | ||||
\(391\) | 1.27931 | − | 0.929474i | 0.0646975 | − | 0.0470055i | ||||
\(392\) | 4.90243 | − | 15.0881i | 0.247610 | − | 0.762066i | ||||
\(393\) | 4.59236 | 0.231654 | ||||||||
\(394\) | 7.58465 | − | 23.3431i | 0.382109 | − | 1.17601i | ||||
\(395\) | 26.1881 | − | 26.5097i | 1.31767 | − | 1.33385i | ||||
\(396\) | −1.66461 | − | 5.12314i | −0.0836497 | − | 0.257447i | ||||
\(397\) | −0.604795 | − | 1.86137i | −0.0303538 | − | 0.0934194i | 0.934732 | − | 0.355354i | \(-0.115640\pi\) |
−0.965086 | + | 0.261934i | \(0.915640\pi\) | |||||||
\(398\) | −12.0461 | − | 8.75203i | −0.603818 | − | 0.438700i | ||||
\(399\) | 9.29678 | 0.465421 | ||||||||
\(400\) | 0.304690 | + | 24.9591i | 0.0152345 | + | 1.24796i | ||||
\(401\) | −32.8337 | −1.63964 | −0.819818 | − | 0.572624i | \(-0.805925\pi\) | ||||
−0.819818 | + | 0.572624i | \(0.805925\pi\) | |||||||
\(402\) | 8.32532 | + | 6.04870i | 0.415229 | + | 0.301682i | ||||
\(403\) | 2.75505 | + | 8.47916i | 0.137239 | + | 0.422377i | ||||
\(404\) | −1.93683 | − | 5.96094i | −0.0963607 | − | 0.296568i | ||||
\(405\) | −2.20636 | + | 0.363271i | −0.109635 | + | 0.0180511i | ||||
\(406\) | −8.13167 | + | 25.0267i | −0.403568 | + | 1.24206i | ||||
\(407\) | 0.123205 | 0.00610704 | ||||||||
\(408\) | 1.55310 | − | 4.77995i | 0.0768899 | − | 0.236643i | ||||
\(409\) | 32.0180 | − | 23.2624i | 1.58319 | − | 1.15025i | 0.670265 | − | 0.742122i | \(-0.266180\pi\) |
0.912923 | − | 0.408132i | \(-0.133820\pi\) | |||||||
\(410\) | 2.58056 | + | 4.98912i | 0.127445 | + | 0.246395i | ||||
\(411\) | −12.3472 | − | 8.97078i | −0.609043 | − | 0.442496i | ||||
\(412\) | −8.66863 | + | 6.29813i | −0.427073 | + | 0.310287i | ||||
\(413\) | −14.9598 | + | 10.8689i | −0.736123 | + | 0.534825i | ||||
\(414\) | −0.806606 | − | 0.586034i | −0.0396425 | − | 0.0288020i | ||||
\(415\) | −1.72458 | + | 0.283948i | −0.0846564 | + | 0.0139384i | ||||
\(416\) | −12.7901 | + | 9.29254i | −0.627086 | + | 0.455604i | ||||
\(417\) | 5.63591 | − | 17.3455i | 0.275991 | − | 0.849414i | ||||
\(418\) | −23.7756 | −1.16290 | ||||||||
\(419\) | 6.04421 | − | 18.6022i | 0.295279 | − | 0.908776i | −0.687848 | − | 0.725854i | \(-0.741445\pi\) |
0.983128 | − | 0.182921i | \(-0.0585554\pi\) | |||||||
\(420\) | −7.18305 | − | 3.60489i | −0.350497 | − | 0.175901i | ||||
\(421\) | −12.4634 | − | 38.3584i | −0.607430 | − | 1.86948i | −0.479138 | − | 0.877740i | \(-0.659051\pi\) |
−0.128292 | − | 0.991736i | \(-0.540949\pi\) | |||||||
\(422\) | −1.56932 | − | 4.82987i | −0.0763932 | − | 0.235114i | ||||
\(423\) | −4.39586 | − | 3.19378i | −0.213734 | − | 0.155287i | ||||
\(424\) | 5.22869 | 0.253928 | ||||||||
\(425\) | 8.08684 | + | 10.8496i | 0.392269 | + | 0.526281i | ||||
\(426\) | 13.8239 | 0.669769 | ||||||||
\(427\) | 17.8016 | + | 12.9336i | 0.861478 | + | 0.625901i | ||||
\(428\) | 1.59675 | + | 4.91428i | 0.0771816 | + | 0.237540i | ||||
\(429\) | −6.00837 | − | 18.4919i | −0.290087 | − | 0.892795i | ||||
\(430\) | 0.730414 | − | 4.80113i | 0.0352237 | − | 0.231531i | ||||
\(431\) | 4.24497 | − | 13.0647i | 0.204473 | − | 0.629304i | −0.795261 | − | 0.606267i | \(-0.792666\pi\) |
0.999735 | − | 0.0230370i | \(-0.00733356\pi\) | |||||||
\(432\) | −4.99220 | −0.240187 | ||||||||
\(433\) | −3.83964 | + | 11.8172i | −0.184522 | + | 0.567899i | −0.999940 | − | 0.0109734i | \(-0.996507\pi\) |
0.815418 | + | 0.578872i | \(0.196507\pi\) | |||||||
\(434\) | −14.7454 | + | 10.7132i | −0.707802 | + | 0.514248i | ||||
\(435\) | −7.81752 | − | 3.92331i | −0.374821 | − | 0.188108i | ||||
\(436\) | 1.00402 | + | 0.729464i | 0.0480839 | + | 0.0349350i | ||||
\(437\) | −1.11470 | + | 0.809879i | −0.0533234 | + | 0.0387417i | ||||
\(438\) | 18.3832 | − | 13.3562i | 0.878385 | − | 0.638184i | ||||
\(439\) | −8.87118 | − | 6.44529i | −0.423399 | − | 0.307617i | 0.355605 | − | 0.934636i | \(-0.384275\pi\) |
−0.779004 | + | 0.627019i | \(0.784275\pi\) | |||||||
\(440\) | −21.9295 | − | 11.0056i | −1.04545 | − | 0.524670i | ||||
\(441\) | −6.91123 | + | 5.02131i | −0.329106 | + | 0.239110i | ||||
\(442\) | −4.69594 | + | 14.4526i | −0.223363 | + | 0.687440i | ||||
\(443\) | 8.13187 | 0.386357 | 0.193178 | − | 0.981164i | \(-0.438120\pi\) | ||||
0.193178 | + | 0.981164i | \(0.438120\pi\) | |||||||
\(444\) | −0.00587431 | + | 0.0180793i | −0.000278783 | + | 0.000858005i | ||||
\(445\) | 1.16810 | − | 7.67813i | 0.0553734 | − | 0.363978i | ||||
\(446\) | 0.160658 | + | 0.494454i | 0.00760737 | + | 0.0234131i | ||||
\(447\) | 4.55253 | + | 14.0112i | 0.215327 | + | 0.662709i | ||||
\(448\) | 5.69791 | + | 4.13977i | 0.269201 | + | 0.195586i | ||||
\(449\) | −32.9503 | −1.55502 | −0.777511 | − | 0.628869i | \(-0.783518\pi\) | ||||
−0.777511 | + | 0.628869i | \(0.783518\pi\) | |||||||
\(450\) | 4.93024 | − | 6.96308i | 0.232414 | − | 0.328243i | ||||
\(451\) | −8.69840 | −0.409592 | ||||||||
\(452\) | 7.88130 | + | 5.72610i | 0.370705 | + | 0.269333i | ||||
\(453\) | −5.38784 | − | 16.5821i | −0.253143 | − | 0.779093i | ||||
\(454\) | 5.04738 | + | 15.5342i | 0.236885 | + | 0.729058i | ||||
\(455\) | −25.9270 | − | 13.0118i | −1.21548 | − | 0.610002i | ||||
\(456\) | −1.35326 | + | 4.16491i | −0.0633723 | + | 0.195040i | ||||
\(457\) | −22.8800 | −1.07028 | −0.535142 | − | 0.844762i | \(-0.679742\pi\) | ||||
−0.535142 | + | 0.844762i | \(0.679742\pi\) | |||||||
\(458\) | −6.39564 | + | 19.6838i | −0.298849 | + | 0.919762i | ||||
\(459\) | −2.18949 | + | 1.59076i | −0.102197 | + | 0.0742503i | ||||
\(460\) | 1.17530 | − | 0.193509i | 0.0547985 | − | 0.00902243i | ||||
\(461\) | −9.74259 | − | 7.07841i | −0.453758 | − | 0.329674i | 0.337320 | − | 0.941390i | \(-0.390480\pi\) |
−0.791078 | + | 0.611716i | \(0.790480\pi\) | |||||||
\(462\) | 32.1576 | − | 23.3639i | 1.49611 | − | 1.08699i | ||||
\(463\) | 22.0054 | − | 15.9878i | 1.02268 | − | 0.743018i | 0.0558471 | − | 0.998439i | \(-0.482214\pi\) |
0.966830 | + | 0.255421i | \(0.0822141\pi\) | |||||||
\(464\) | −15.7984 | − | 11.4782i | −0.733420 | − | 0.532861i | ||||
\(465\) | −2.78329 | − | 5.38107i | −0.129072 | − | 0.249541i | ||||
\(466\) | 27.7479 | − | 20.1600i | 1.28540 | − | 0.933895i | ||||
\(467\) | −1.21828 | + | 3.74947i | −0.0563752 | + | 0.173505i | −0.975279 | − | 0.220976i | \(-0.929076\pi\) |
0.918904 | + | 0.394481i | \(0.129076\pi\) | |||||||
\(468\) | 3.00000 | 0.138675 | ||||||||
\(469\) | −7.34714 | + | 22.6122i | −0.339259 | + | 1.04413i | ||||
\(470\) | 20.4566 | − | 3.36812i | 0.943593 | − | 0.155360i | ||||
\(471\) | 5.53466 | + | 17.0339i | 0.255024 | + | 0.784882i | ||||
\(472\) | −2.69164 | − | 8.28402i | −0.123893 | − | 0.381303i | ||||
\(473\) | 6.08421 | + | 4.42044i | 0.279752 | + | 0.203252i | ||||
\(474\) | −28.4362 | −1.30612 | ||||||||
\(475\) | −7.04630 | − | 9.45355i | −0.323307 | − | 0.433758i | ||||
\(476\) | −9.72721 | −0.445846 | ||||||||
\(477\) | −2.27782 | − | 1.65493i | −0.104294 | − | 0.0757742i | ||||
\(478\) | −9.31397 | − | 28.6655i | −0.426011 | − | 1.31113i | ||||
\(479\) | 6.16466 | + | 18.9729i | 0.281670 | + | 0.866893i | 0.987377 | + | 0.158388i | \(0.0506298\pi\) |
−0.705706 | + | 0.708504i | \(0.749370\pi\) | |||||||
\(480\) | 7.54981 | − | 7.64254i | 0.344600 | − | 0.348833i | ||||
\(481\) | −0.0212032 | + | 0.0652567i | −0.000966783 | + | 0.00297545i | ||||
\(482\) | −50.4038 | −2.29583 | ||||||||
\(483\) | 0.711834 | − | 2.19080i | 0.0323896 | − | 0.0996849i | ||||
\(484\) | −17.6370 | + | 12.8140i | −0.801680 | + | 0.582455i | ||||
\(485\) | −3.85703 | + | 3.90440i | −0.175139 | + | 0.177290i | ||||
\(486\) | 1.38048 | + | 1.00297i | 0.0626197 | + | 0.0454958i | ||||
\(487\) | 8.90102 | − | 6.46697i | 0.403344 | − | 0.293046i | −0.367558 | − | 0.930001i | \(-0.619806\pi\) |
0.770902 | + | 0.636954i | \(0.219806\pi\) | |||||||
\(488\) | −8.38543 | + | 6.09237i | −0.379591 | + | 0.275789i | ||||
\(489\) | −17.6041 | − | 12.7901i | −0.796083 | − | 0.578388i | ||||
\(490\) | 4.90243 | − | 32.2245i | 0.221469 | − | 1.45575i | ||||
\(491\) | 26.9348 | − | 19.5693i | 1.21555 | − | 0.883151i | 0.219830 | − | 0.975538i | \(-0.429450\pi\) |
0.995723 | + | 0.0923876i | \(0.0294499\pi\) | |||||||
\(492\) | 0.414733 | − | 1.27642i | 0.0186976 | − | 0.0575453i | ||||
\(493\) | −10.5864 | −0.476788 | ||||||||
\(494\) | 4.09171 | − | 12.5930i | 0.184095 | − | 0.566585i | ||||
\(495\) | 6.06997 | + | 11.7354i | 0.272825 | + | 0.527465i | ||||
\(496\) | −4.17963 | − | 12.8636i | −0.187671 | − | 0.577592i | ||||
\(497\) | 9.86973 | + | 30.3759i | 0.442718 | + | 1.36255i | ||||
\(498\) | 1.07904 | + | 0.783966i | 0.0483528 | + | 0.0351303i | ||||
\(499\) | −41.1448 | −1.84189 | −0.920946 | − | 0.389690i | \(-0.872582\pi\) | ||||
−0.920946 | + | 0.389690i | \(0.872582\pi\) | |||||||
\(500\) | 1.77856 | + | 10.0364i | 0.0795398 | + | 0.448843i | ||||
\(501\) | −22.6030 | −1.00983 | ||||||||
\(502\) | 2.61457 | + | 1.89960i | 0.116694 | + | 0.0847832i | ||||
\(503\) | 9.91207 | + | 30.5062i | 0.441958 | + | 1.36021i | 0.885786 | + | 0.464094i | \(0.153620\pi\) |
−0.443829 | + | 0.896112i | \(0.646380\pi\) | |||||||
\(504\) | −2.26244 | − | 6.96308i | −0.100777 | − | 0.310160i | ||||
\(505\) | 7.06260 | + | 13.6545i | 0.314282 | + | 0.607616i | ||||
\(506\) | −1.82044 | + | 5.60275i | −0.0809286 | + | 0.249073i | ||||
\(507\) | −2.17157 | −0.0964429 | ||||||||
\(508\) | −3.81529 | + | 11.7423i | −0.169276 | + | 0.520979i | ||||
\(509\) | 21.9206 | − | 15.9262i | 0.971612 | − | 0.705918i | 0.0157938 | − | 0.999875i | \(-0.494972\pi\) |
0.955818 | + | 0.293958i | \(0.0949725\pi\) | |||||||
\(510\) | 1.55310 | − | 10.2088i | 0.0687724 | − | 0.452052i | ||||
\(511\) | 42.4732 | + | 30.8586i | 1.87890 | + | 1.36510i | ||||
\(512\) | 4.40295 | − | 3.19893i | 0.194585 | − | 0.141374i | ||||
\(513\) | 1.90777 | − | 1.38608i | 0.0842301 | − | 0.0611968i | ||||
\(514\) | 30.5376 | + | 22.1869i | 1.34696 | + | 0.978622i | ||||
\(515\) | 18.4696 | − | 18.6964i | 0.813868 | − | 0.823864i | ||||
\(516\) | −0.938754 | + | 0.682045i | −0.0413263 | + | 0.0300253i | ||||
\(517\) | −9.92109 | + | 30.5340i | −0.436329 | + | 1.34288i | ||||
\(518\) | −0.140272 | −0.00616321 | ||||||||
\(519\) | 3.98993 | − | 12.2797i | 0.175138 | − | 0.539020i | ||||
\(520\) | 9.60322 | − | 9.72117i | 0.421129 | − | 0.426301i | ||||
\(521\) | 8.02073 | + | 24.6853i | 0.351395 | + | 1.08148i | 0.958071 | + | 0.286532i | \(0.0925026\pi\) |
−0.606676 | + | 0.794949i | \(0.707497\pi\) | |||||||
\(522\) | 2.06260 | + | 6.34804i | 0.0902778 | + | 0.277846i | ||||
\(523\) | 1.45123 | + | 1.05438i | 0.0634577 | + | 0.0461047i | 0.619062 | − | 0.785342i | \(-0.287513\pi\) |
−0.555604 | + | 0.831447i | \(0.687513\pi\) | |||||||
\(524\) | 4.18673 | 0.182898 | ||||||||
\(525\) | 18.8203 | + | 5.86209i | 0.821386 | + | 0.255843i | ||||
\(526\) | 33.6414 | 1.46684 | ||||||||
\(527\) | −5.93209 | − | 4.30991i | −0.258406 | − | 0.187743i | ||||
\(528\) | 9.11519 | + | 28.0537i | 0.396688 | + | 1.22088i | ||||
\(529\) | −7.00189 | − | 21.5496i | −0.304430 | − | 0.936939i | ||||
\(530\) | 10.6001 | − | 1.74528i | 0.460439 | − | 0.0758100i | ||||
\(531\) | −1.44939 | + | 4.46077i | −0.0628983 | + | 0.193581i | ||||
\(532\) | 8.47561 | 0.367464 | ||||||||
\(533\) | 1.49697 | − | 4.60720i | 0.0648410 | − | 0.199560i | ||||
\(534\) | −4.79477 | + | 3.48361i | −0.207490 | + | 0.150750i | ||||
\(535\) | −5.82250 | − | 11.2569i | −0.251729 | − | 0.486679i | ||||
\(536\) | −9.06068 | − | 6.58297i | −0.391362 | − | 0.284341i | ||||
\(537\) | 5.20246 | − | 3.77981i | 0.224503 | − | 0.163111i | ||||
\(538\) | 25.0760 | − | 18.2188i | 1.08110 | − | 0.785467i | ||||
\(539\) | 40.8364 | + | 29.6693i | 1.75895 | + | 1.27795i | ||||
\(540\) | −2.01148 | + | 0.331184i | −0.0865602 | + | 0.0142519i | ||||
\(541\) | 6.01538 | − | 4.37043i | 0.258621 | − | 0.187899i | −0.450918 | − | 0.892566i | \(-0.648903\pi\) |
0.709539 | + | 0.704666i | \(0.248903\pi\) | |||||||
\(542\) | −11.9008 | + | 36.6268i | −0.511182 | + | 1.57326i | ||||
\(543\) | 14.7071 | 0.631141 | ||||||||
\(544\) | 4.01792 | − | 12.3659i | 0.172267 | − | 0.530183i | ||||
\(545\) | −2.72053 | − | 1.36533i | −0.116535 | − | 0.0584842i | ||||
\(546\) | 6.84070 | + | 21.0535i | 0.292755 | + | 0.901007i | ||||
\(547\) | 6.02174 | + | 18.5330i | 0.257471 | + | 0.792414i | 0.993333 | + | 0.115283i | \(0.0367774\pi\) |
−0.735862 | + | 0.677132i | \(0.763223\pi\) | |||||||
\(548\) | −11.2566 | − | 8.17841i | −0.480859 | − | 0.349364i | ||||
\(549\) | 5.58132 | 0.238205 | ||||||||
\(550\) | −48.1311 | − | 14.9917i | −2.05232 | − | 0.639249i | ||||
\(551\) | 9.22425 | 0.392966 | ||||||||
\(552\) | 0.877852 | + | 0.637797i | 0.0373639 | + | 0.0271464i | ||||
\(553\) | −20.3024 | − | 62.4843i | −0.863345 | − | 2.65710i | ||||
\(554\) | −4.35277 | − | 13.3965i | −0.184932 | − | 0.569161i | ||||
\(555\) | 0.00701259 | − | 0.0460949i | 0.000297668 | − | 0.00195662i | ||||
\(556\) | 5.13810 | − | 15.8134i | 0.217904 | − | 0.670639i | ||||
\(557\) | −26.3285 | −1.11557 | −0.557787 | − | 0.829984i | \(-0.688350\pi\) | ||||
−0.557787 | + | 0.829984i | \(0.688350\pi\) | |||||||
\(558\) | −1.42862 | + | 4.39685i | −0.0604784 | + | 0.186133i | ||||
\(559\) | −3.38841 | + | 2.46182i | −0.143314 | + | 0.104124i | ||||
\(560\) | 39.3335 | + | 19.7399i | 1.66214 | + | 0.834165i | ||||
\(561\) | 12.9370 | + | 9.39931i | 0.546202 | + | 0.396839i | ||||
\(562\) | 1.76879 | − | 1.28510i | 0.0746120 | − | 0.0542088i | ||||
\(563\) | −29.7482 | + | 21.6134i | −1.25374 | + | 0.910895i | −0.998433 | − | 0.0559656i | \(-0.982176\pi\) |
−0.255306 | + | 0.966860i | \(0.582176\pi\) | |||||||
\(564\) | −4.00758 | − | 2.91168i | −0.168749 | − | 0.122604i | ||||
\(565\) | −21.3554 | − | 10.7175i | −0.898429 | − | 0.450887i | ||||
\(566\) | 3.68770 | − | 2.67927i | 0.155005 | − | 0.112618i | ||||
\(567\) | −1.21828 | + | 3.74947i | −0.0511629 | + | 0.157463i | ||||
\(568\) | −15.0449 | −0.631271 | ||||||||
\(569\) | −11.2118 | + | 34.5065i | −0.470025 | + | 1.44659i | 0.382527 | + | 0.923944i | \(0.375054\pi\) |
−0.852552 | + | 0.522643i | \(0.824946\pi\) | |||||||
\(570\) | −1.35326 | + | 8.89521i | −0.0566819 | + | 0.372579i | ||||
\(571\) | −1.03966 | − | 3.19975i | −0.0435085 | − | 0.133906i | 0.926943 | − | 0.375203i | \(-0.122427\pi\) |
−0.970451 | + | 0.241298i | \(0.922427\pi\) | |||||||
\(572\) | −5.47766 | − | 16.8585i | −0.229032 | − | 0.704889i | ||||
\(573\) | −5.43095 | − | 3.94582i | −0.226881 | − | 0.164839i | ||||
\(574\) | 9.90337 | 0.413359 | ||||||||
\(575\) | −2.76726 | + | 0.936635i | −0.115403 | + | 0.0390604i | ||||
\(576\) | 1.78646 | 0.0744359 | ||||||||
\(577\) | 5.56961 | + | 4.04656i | 0.231866 | + | 0.168461i | 0.697652 | − | 0.716437i | \(-0.254228\pi\) |
−0.465786 | + | 0.884898i | \(0.654228\pi\) | |||||||
\(578\) | 5.10190 | + | 15.7020i | 0.212211 | + | 0.653118i | ||||
\(579\) | 1.49199 | + | 4.59186i | 0.0620048 | + | 0.190831i | ||||
\(580\) | −7.12701 | − | 3.57677i | −0.295933 | − | 0.148517i | ||||
\(581\) | −0.952256 | + | 2.93074i | −0.0395062 | + | 0.121588i | ||||
\(582\) | 4.18814 | 0.173604 | ||||||||
\(583\) | −5.14086 | + | 15.8219i | −0.212913 | + | 0.655278i | ||||
\(584\) | −20.0070 | + | 14.5359i | −0.827895 | + | 0.601501i | ||||
\(585\) | −7.26038 | + | 1.19540i | −0.300180 | + | 0.0494238i | ||||
\(586\) | 24.3800 | + | 17.7131i | 1.00713 | + | 0.731720i | ||||
\(587\) | 11.9230 | − | 8.66258i | 0.492116 | − | 0.357543i | −0.313882 | − | 0.949462i | \(-0.601630\pi\) |
0.805997 | + | 0.591919i | \(0.201630\pi\) | |||||||
\(588\) | −6.30078 | + | 4.57778i | −0.259840 | + | 0.188785i | ||||
\(589\) | 5.16880 | + | 3.75536i | 0.212977 | + | 0.154737i | ||||
\(590\) | −8.22186 | − | 15.8957i | −0.338489 | − | 0.654416i | ||||
\(591\) | 11.6370 | − | 8.45474i | 0.478680 | − | 0.347782i | ||||
\(592\) | 0.0321670 | − | 0.0989998i | 0.00132206 | − | 0.00406887i | ||||
\(593\) | 5.82561 | 0.239229 | 0.119615 | − | 0.992820i | \(-0.461834\pi\) | ||||
0.119615 | + | 0.992820i | \(0.461834\pi\) | |||||||
\(594\) | 3.11562 | − | 9.58890i | 0.127836 | − | 0.393437i | ||||
\(595\) | 23.5411 | − | 3.87597i | 0.965091 | − | 0.158899i | ||||
\(596\) | 4.15041 | + | 12.7737i | 0.170008 | + | 0.523230i | ||||
\(597\) | −2.69651 | − | 8.29899i | −0.110361 | − | 0.339655i | ||||
\(598\) | −2.65426 | − | 1.92844i | −0.108541 | − | 0.0788596i | ||||
\(599\) | −27.1527 | −1.10943 | −0.554715 | − | 0.832040i | \(-0.687173\pi\) | ||||
−0.554715 | + | 0.832040i | \(0.687173\pi\) | |||||||
\(600\) | −5.36572 | + | 7.57812i | −0.219055 | + | 0.309375i | ||||
\(601\) | 20.9140 | 0.853101 | 0.426551 | − | 0.904464i | \(-0.359729\pi\) | ||||
0.426551 | + | 0.904464i | \(0.359729\pi\) | |||||||
\(602\) | −6.92705 | − | 5.03280i | −0.282326 | − | 0.205121i | ||||
\(603\) | 1.86361 | + | 5.73559i | 0.0758919 | + | 0.233571i | ||||
\(604\) | −4.91194 | − | 15.1174i | −0.199864 | − | 0.615118i | ||||
\(605\) | 37.5777 | − | 38.0393i | 1.52775 | − | 1.54652i | ||||
\(606\) | 3.62513 | − | 11.1570i | 0.147261 | − | 0.453222i | ||||
\(607\) | 1.46424 | 0.0594318 | 0.0297159 | − | 0.999558i | \(-0.490540\pi\) | ||||
0.0297159 | + | 0.999558i | \(0.490540\pi\) | |||||||
\(608\) | −3.50094 | + | 10.7748i | −0.141982 | + | 0.436975i | ||||
\(609\) | −12.4762 | + | 9.06453i | −0.505563 | + | 0.367313i | ||||
\(610\) | −14.9662 | + | 15.1500i | −0.605963 | + | 0.613405i | ||||
\(611\) | −14.4653 | − | 10.5096i | −0.585202 | − | 0.425174i | ||||
\(612\) | −1.99610 | + | 1.45025i | −0.0806875 | + | 0.0586229i | ||||
\(613\) | −28.0814 | + | 20.4023i | −1.13420 | + | 0.824041i | −0.986300 | − | 0.164962i | \(-0.947250\pi\) |
−0.147896 | + | 0.989003i | \(0.547250\pi\) | |||||||
\(614\) | −39.4255 | − | 28.6443i | −1.59108 | − | 1.15599i | ||||
\(615\) | −0.495097 | + | 3.25435i | −0.0199642 | + | 0.131228i | ||||
\(616\) | −34.9981 | + | 25.4276i | −1.41011 | + | 1.02451i | ||||
\(617\) | 12.9490 | − | 39.8529i | 0.521307 | − | 1.60442i | −0.250199 | − | 0.968194i | \(-0.580496\pi\) |
0.771506 | − | 0.636222i | \(-0.219504\pi\) | |||||||
\(618\) | −20.0551 | −0.806736 | ||||||||
\(619\) | −5.79758 | + | 17.8431i | −0.233025 | + | 0.717176i | 0.764353 | + | 0.644798i | \(0.223059\pi\) |
−0.997377 | + | 0.0723776i | \(0.976941\pi\) | |||||||
\(620\) | −2.53745 | − | 4.90577i | −0.101906 | − | 0.197021i | ||||
\(621\) | −0.180557 | − | 0.555698i | −0.00724551 | − | 0.0222994i | ||||
\(622\) | 15.4647 | + | 47.5954i | 0.620077 | + | 1.90840i | ||||
\(623\) | −11.0780 | − | 8.04863i | −0.443830 | − | 0.322461i | ||||
\(624\) | −16.4276 | −0.657631 | ||||||||
\(625\) | −8.30354 | − | 23.5807i | −0.332142 | − | 0.943230i | ||||
\(626\) | 29.8498 | 1.19304 | ||||||||
\(627\) | −11.2724 | − | 8.18990i | −0.450177 | − | 0.327073i | ||||
\(628\) | 5.04579 | + | 15.5294i | 0.201349 | + | 0.619689i | ||||
\(629\) | −0.0174383 | − | 0.0536696i | −0.000695311 | − | 0.00213995i | ||||
\(630\) | −6.91083 | − | 13.3610i | −0.275334 | − | 0.532317i | ||||
\(631\) | 3.05583 | − | 9.40488i | 0.121651 | − | 0.374402i | −0.871625 | − | 0.490173i | \(-0.836934\pi\) |
0.993276 | + | 0.115770i | \(0.0369337\pi\) | |||||||
\(632\) | 30.9479 | 1.23104 | ||||||||
\(633\) | 0.919687 | − | 2.83050i | 0.0365543 | − | 0.112502i | ||||
\(634\) | 5.40820 | − | 3.92928i | 0.214787 | − | 0.156052i | ||||
\(635\) | 4.55459 | − | 29.9380i | 0.180743 | − | 1.18806i | ||||
\(636\) | −2.07663 | − | 1.50876i | −0.0823436 | − | 0.0598261i | ||||
\(637\) | −22.7425 | + | 16.5234i | −0.901091 | + | 0.654681i | ||||
\(638\) | 31.9068 | − | 23.1816i | 1.26320 | − | 0.917769i | ||||
\(639\) | 6.55415 | + | 4.76187i | 0.259278 | + | 0.188377i | ||||
\(640\) | −19.8900 | + | 20.1343i | −0.786221 | + | 0.795877i | ||||
\(641\) | 1.46647 | − | 1.06546i | 0.0579223 | − | 0.0420830i | −0.558447 | − | 0.829540i | \(-0.688603\pi\) |
0.616370 | + | 0.787457i | \(0.288603\pi\) | |||||||
\(642\) | −2.98860 | + | 9.19797i | −0.117951 | + | 0.363015i | ||||
\(643\) | 45.7391 | 1.80377 | 0.901886 | − | 0.431974i | \(-0.142183\pi\) | ||||
0.901886 | + | 0.431974i | \(0.142183\pi\) | |||||||
\(644\) | 0.648959 | − | 1.99729i | 0.0255726 | − | 0.0787043i | ||||
\(645\) | 2.00013 | − | 2.02470i | 0.0787551 | − | 0.0797224i | ||||
\(646\) | 3.36518 | + | 10.3570i | 0.132401 | + | 0.407489i | ||||
\(647\) | −7.93466 | − | 24.4204i | −0.311944 | − | 0.960064i | −0.976994 | − | 0.213266i | \(-0.931590\pi\) |
0.665050 | − | 0.746798i | \(-0.268410\pi\) | |||||||
\(648\) | −1.50241 | − | 1.09157i | −0.0590203 | − | 0.0428807i | ||||
\(649\) | 27.7137 | 1.08786 | ||||||||
\(650\) | 16.2237 | − | 22.9131i | 0.636348 | − | 0.898726i | ||||
\(651\) | −10.6814 | −0.418637 | ||||||||
\(652\) | −16.0491 | − | 11.6604i | −0.628532 | − | 0.456655i | ||||
\(653\) | 11.1148 | + | 34.2079i | 0.434957 | + | 1.33866i | 0.893130 | + | 0.449798i | \(0.148504\pi\) |
−0.458173 | + | 0.888863i | \(0.651496\pi\) | |||||||
\(654\) | 0.717795 | + | 2.20914i | 0.0280680 | + | 0.0863844i | ||||
\(655\) | −10.1324 | + | 1.66827i | −0.395906 | + | 0.0651848i | ||||
\(656\) | −2.27103 | + | 6.98950i | −0.0886687 | + | 0.272894i | ||||
\(657\) | 13.3166 | 0.519530 | ||||||||
\(658\) | 11.2954 | − | 34.7638i | 0.440342 | − | 1.35523i | ||||
\(659\) | 25.9633 | − | 18.8635i | 1.01139 | − | 0.734816i | 0.0468880 | − | 0.998900i | \(-0.485070\pi\) |
0.964500 | + | 0.264084i | \(0.0850696\pi\) | |||||||
\(660\) | 5.53382 | + | 10.6988i | 0.215404 | + | 0.416450i | ||||
\(661\) | −13.1113 | − | 9.52591i | −0.509970 | − | 0.370515i | 0.302842 | − | 0.953041i | \(-0.402064\pi\) |
−0.812812 | + | 0.582526i | \(0.802064\pi\) | |||||||
\(662\) | −24.2320 | + | 17.6056i | −0.941803 | + | 0.684260i | ||||
\(663\) | −7.20487 | + | 5.23465i | −0.279814 | + | 0.203297i | ||||
\(664\) | −1.17435 | − | 0.853212i | −0.0455734 | − | 0.0331110i | ||||
\(665\) | −20.5121 | + | 3.37725i | −0.795424 | + | 0.130964i | ||||
\(666\) | −0.0287849 | + | 0.0209135i | −0.00111539 | + | 0.000810381i | ||||
\(667\) | 0.706281 | − | 2.17371i | 0.0273473 | − | 0.0841663i | ||||
\(668\) | −20.6065 | −0.797289 | ||||||||
\(669\) | −0.0941522 | + | 0.289771i | −0.00364014 | + | 0.0112032i | ||||
\(670\) | −20.5660 | − | 10.3213i | −0.794533 | − | 0.398745i | ||||
\(671\) | −10.1908 | − | 31.3642i | −0.393413 | − | 1.21080i | ||||
\(672\) | −5.85301 | − | 18.0137i | −0.225785 | − | 0.694895i | ||||
\(673\) | −27.6367 | − | 20.0792i | −1.06531 | − | 0.773997i | −0.0902506 | − | 0.995919i | \(-0.528767\pi\) |
−0.975064 | + | 0.221922i | \(0.928767\pi\) | |||||||
\(674\) | 23.9703 | 0.923301 | ||||||||
\(675\) | 4.73607 | − | 1.60302i | 0.182291 | − | 0.0617001i | ||||
\(676\) | −1.97976 | −0.0761446 | ||||||||
\(677\) | −7.42284 | − | 5.39301i | −0.285283 | − | 0.207270i | 0.435935 | − | 0.899978i | \(-0.356418\pi\) |
−0.721218 | + | 0.692708i | \(0.756418\pi\) | |||||||
\(678\) | 5.63450 | + | 17.3412i | 0.216392 | + | 0.665985i | ||||
\(679\) | 2.99017 | + | 9.20281i | 0.114752 | + | 0.353171i | ||||
\(680\) | −1.69028 | + | 11.1105i | −0.0648194 | + | 0.426068i | ||||
\(681\) | −2.95798 | + | 9.10372i | −0.113350 | + | 0.348855i | ||||
\(682\) | 27.3166 | 1.04601 | ||||||||
\(683\) | 6.02604 | − | 18.5463i | 0.230580 | − | 0.709653i | −0.767097 | − | 0.641531i | \(-0.778299\pi\) |
0.997677 | − | 0.0681215i | \(-0.0217006\pi\) | |||||||
\(684\) | 1.73926 | − | 1.26365i | 0.0665023 | − | 0.0483168i | ||||
\(685\) | 30.5013 | + | 15.3074i | 1.16539 | + | 0.584866i | ||||
\(686\) | −8.39634 | − | 6.10030i | −0.320574 | − | 0.232910i | ||||
\(687\) | −9.81269 | + | 7.12934i | −0.374378 | + | 0.272001i | ||||
\(688\) | 5.14050 | − | 3.73479i | 0.195980 | − | 0.142387i | ||||
\(689\) | −7.49553 | − | 5.44582i | −0.285557 | − | 0.207469i | ||||
\(690\) | 1.99255 | + | 0.999986i | 0.0758552 | + | 0.0380688i | ||||
\(691\) | −23.4986 | + | 17.0727i | −0.893927 | + | 0.649476i | −0.936899 | − | 0.349600i | \(-0.886317\pi\) |
0.0429718 | + | 0.999076i | \(0.486317\pi\) | |||||||
\(692\) | 3.63750 | − | 11.1951i | 0.138277 | − | 0.425573i | ||||
\(693\) | 23.2946 | 0.884889 | ||||||||
\(694\) | 0.543375 | − | 1.67234i | 0.0206262 | − | 0.0634810i | ||||
\(695\) | −6.13371 | + | 40.3179i | −0.232665 | + | 1.52934i | ||||
\(696\) | −2.24479 | − | 6.90876i | −0.0850886 | − | 0.261876i | ||||
\(697\) | 1.23116 | + | 3.78914i | 0.0466337 | + | 0.143524i | ||||
\(698\) | 29.7666 | + | 21.6267i | 1.12668 | + | 0.818583i | ||||
\(699\) | 20.1002 | 0.760261 | ||||||||
\(700\) | 17.1580 | + | 5.34431i | 0.648510 | + | 0.201996i | ||||
\(701\) | −20.4085 | −0.770820 | −0.385410 | − | 0.922745i | \(-0.625940\pi\) | ||||
−0.385410 | + | 0.922745i | \(0.625940\pi\) | |||||||
\(702\) | 4.54267 | + | 3.30045i | 0.171452 | + | 0.124567i | ||||
\(703\) | 0.0151945 | + | 0.0467640i | 0.000573073 | + | 0.00176374i | ||||
\(704\) | −3.26188 | − | 10.0390i | −0.122937 | − | 0.378360i | ||||
\(705\) | 10.8591 | + | 5.44974i | 0.408976 | + | 0.205249i | ||||
\(706\) | −3.77345 | + | 11.6135i | −0.142016 | + | 0.437079i | ||||
\(707\) | 27.1040 | 1.01935 | ||||||||
\(708\) | −1.32137 | + | 4.06676i | −0.0496601 | + | 0.152838i | ||||
\(709\) | −13.3334 | + | 9.68727i | −0.500746 | + | 0.363813i | −0.809302 | − | 0.587393i | \(-0.800154\pi\) |
0.308556 | + | 0.951206i | \(0.400154\pi\) | |||||||
\(710\) | −30.5005 | + | 5.02182i | −1.14466 | + | 0.188466i | ||||
\(711\) | −13.4821 | − | 9.79534i | −0.505619 | − | 0.367354i | ||||
\(712\) | 5.21829 | − | 3.79131i | 0.195564 | − | 0.142085i | ||||
\(713\) | 1.28072 | − | 0.930497i | 0.0479633 | − | 0.0348474i | ||||
\(714\) | −14.7292 | − | 10.7014i | −0.551226 | − | 0.400489i | ||||
\(715\) | 19.9742 | + | 38.6171i | 0.746992 | + | 1.44420i | ||||
\(716\) | 4.74294 | − | 3.44595i | 0.177252 | − | 0.128781i | ||||
\(717\) | 5.45838 | − | 16.7992i | 0.203847 | − | 0.627376i | ||||
\(718\) | −46.3309 | −1.72905 | ||||||||
\(719\) | 9.60466 | − | 29.5601i | 0.358193 | − | 1.10241i | −0.595941 | − | 0.803028i | \(-0.703221\pi\) |
0.954135 | − | 0.299378i | \(-0.0967791\pi\) | |||||||
\(720\) | 11.0146 | − | 1.81352i | 0.410490 | − | 0.0675860i | ||||
\(721\) | −14.3186 | − | 44.0681i | −0.533253 | − | 1.64118i | ||||
\(722\) | 7.08642 | + | 21.8098i | 0.263729 | + | 0.811675i | ||||
\(723\) | −23.8973 | − | 17.3624i | −0.888752 | − | 0.645716i | ||||
\(724\) | 13.4080 | 0.498305 | ||||||||
\(725\) | 18.6735 | + | 5.81636i | 0.693516 | + | 0.216014i | ||||
\(726\) | −40.8036 | −1.51436 | ||||||||
\(727\) | 0.771033 | + | 0.560188i | 0.0285960 | + | 0.0207762i | 0.601991 | − | 0.798503i | \(-0.294374\pi\) |
−0.573395 | + | 0.819279i | \(0.694374\pi\) | |||||||
\(728\) | −7.44492 | − | 22.9131i | −0.275927 | − | 0.849217i | ||||
\(729\) | 0.309017 | + | 0.951057i | 0.0114451 | + | 0.0352243i | ||||
\(730\) | −35.7082 | + | 36.1467i | −1.32162 | + | 1.33785i | ||||
\(731\) | 1.06445 | − | 3.27603i | 0.0393700 | − | 0.121168i | ||||
\(732\) | 5.08833 | 0.188070 | ||||||||
\(733\) | −4.75118 | + | 14.6226i | −0.175489 | + | 0.540099i | −0.999655 | − | 0.0262485i | \(-0.991644\pi\) |
0.824167 | + | 0.566347i | \(0.191644\pi\) | |||||||
\(734\) | 29.6006 | − | 21.5061i | 1.09258 | − | 0.793806i | ||||
\(735\) | 13.4246 | − | 13.5895i | 0.495173 | − | 0.501255i | ||||
\(736\) | 2.27103 | + | 1.65000i | 0.0837114 | + | 0.0608199i | ||||
\(737\) | 28.8284 | − | 20.9451i | 1.06191 | − | 0.771522i | ||||
\(738\) | 2.03225 | − | 1.47651i | 0.0748081 | − | 0.0543513i | ||||
\(739\) | −4.20110 | − | 3.05228i | −0.154540 | − | 0.112280i | 0.507828 | − | 0.861458i | \(-0.330449\pi\) |
−0.662368 | + | 0.749179i | \(0.730449\pi\) | |||||||
\(740\) | 0.00639318 | − | 0.0420234i | 0.000235018 | − | 0.00154481i | ||||
\(741\) | 6.27782 | − | 4.56110i | 0.230622 | − | 0.167556i | ||||
\(742\) | 5.85301 | − | 18.0137i | 0.214871 | − | 0.661305i | ||||
\(743\) | −42.3399 | −1.55330 | −0.776650 | − | 0.629932i | \(-0.783083\pi\) | ||||
−0.776650 | + | 0.629932i | \(0.783083\pi\) | |||||||
\(744\) | 1.55481 | − | 4.78521i | 0.0570021 | − | 0.175434i | ||||
\(745\) | −15.1344 | − | 29.2601i | −0.554482 | − | 1.07201i | ||||
\(746\) | −3.36980 | − | 10.3712i | −0.123377 | − | 0.379716i | ||||
\(747\) | 0.241540 | + | 0.743385i | 0.00883750 | + | 0.0271990i | ||||
\(748\) | 11.7943 | + | 8.56909i | 0.431244 | + | 0.313317i | ||||
\(749\) | −22.3449 | −0.816465 | ||||||||
\(750\) | −8.34842 | + | 17.1541i | −0.304841 | + | 0.626379i | ||||
\(751\) | 22.2461 | 0.811773 | 0.405887 | − | 0.913923i | \(-0.366963\pi\) | ||||
0.405887 | + | 0.913923i | \(0.366963\pi\) | |||||||
\(752\) | 21.9450 | + | 15.9440i | 0.800251 | + | 0.581416i | ||||
\(753\) | 0.585267 | + | 1.80127i | 0.0213283 | + | 0.0656418i | ||||
\(754\) | 6.78733 | + | 20.8892i | 0.247180 | + | 0.760741i | ||||
\(755\) | 17.9113 | + | 34.6288i | 0.651860 | + | 1.26027i | ||||
\(756\) | −1.11067 | + | 3.41829i | −0.0403947 | + | 0.124322i | ||||
\(757\) | −9.27680 | −0.337171 | −0.168585 | − | 0.985687i | \(-0.553920\pi\) | ||||
−0.168585 | + | 0.985687i | \(0.553920\pi\) | |||||||
\(758\) | 0.0815549 | − | 0.251000i | 0.00296221 | − | 0.00911674i | ||||
\(759\) | −2.79307 | + | 2.02928i | −0.101382 | + | 0.0736583i | ||||
\(760\) | 1.47279 | − | 9.68091i | 0.0534238 | − | 0.351163i | ||||
\(761\) | 14.0868 | + | 10.2346i | 0.510644 | + | 0.371005i | 0.813068 | − | 0.582169i | \(-0.197796\pi\) |
−0.302424 | + | 0.953174i | \(0.597796\pi\) | |||||||
\(762\) | −18.6954 | + | 13.5830i | −0.677265 | + | 0.492062i | ||||
\(763\) | −4.34178 | + | 3.15449i | −0.157183 | + | 0.114200i | ||||
\(764\) | −4.95125 | − | 3.59729i | −0.179130 | − | 0.130145i | ||||
\(765\) | 4.25294 | − | 4.30517i | 0.153765 | − | 0.155654i | ||||
\(766\) | −5.87403 | + | 4.26773i | −0.212237 | + | 0.154200i | ||||
\(767\) | −4.76945 | + | 14.6789i | −0.172215 | + | 0.530023i | ||||
\(768\) | 18.0245 | 0.650404 | ||||||||
\(769\) | −7.16648 | + | 22.0562i | −0.258430 | + | 0.795365i | 0.734705 | + | 0.678387i | \(0.237321\pi\) |
−0.993134 | + | 0.116978i | \(0.962679\pi\) | |||||||
\(770\) | −62.4640 | + | 63.2312i | −2.25105 | + | 2.27869i | ||||
\(771\) | 6.83579 | + | 21.0384i | 0.246185 | + | 0.757680i | ||||
\(772\) | 1.36020 | + | 4.18627i | 0.0489547 | + | 0.150667i | ||||
\(773\) | 4.45605 | + | 3.23751i | 0.160273 | + | 0.116445i | 0.665031 | − | 0.746816i | \(-0.268418\pi\) |
−0.504758 | + | 0.863261i | \(0.668418\pi\) | |||||||
\(774\) | −2.17183 | −0.0780650 | ||||||||
\(775\) | 8.09574 | + | 10.8615i | 0.290808 | + | 0.390157i | ||||
\(776\) | −4.55807 | −0.163625 | ||||||||
\(777\) | −0.0665056 | − | 0.0483191i | −0.00238587 | − | 0.00173344i | ||||
\(778\) | 10.7401 | + | 33.0545i | 0.385049 | + | 1.18506i | ||||
\(779\) | −1.07275 | − | 3.30159i | −0.0384353 | − | 0.118292i | ||||
\(780\) | −6.61909 | + | 1.08981i | −0.237001 | + | 0.0390216i | ||||
\(781\) | 14.7922 | − | 45.5257i | 0.529306 | − | 1.62904i | ||||
\(782\) | 2.69830 | 0.0964909 | ||||||||
\(783\) | −1.20877 | + | 3.72022i | −0.0431980 | + | 0.132950i | ||||
\(784\) | 34.5023 | − | 25.0674i | 1.23222 | − | 0.895263i | ||||
\(785\) | −18.3994 | − | 35.5724i | −0.656703 | − | 1.26963i | ||||
\(786\) | 6.33964 | + | 4.60602i | 0.226128 | + | 0.164291i | ||||
\(787\) | −20.8703 | + | 15.1632i | −0.743946 | + | 0.540509i | −0.893944 | − | 0.448178i | \(-0.852073\pi\) |
0.149998 | + | 0.988686i | \(0.452073\pi\) | |||||||
\(788\) | 10.6091 | − | 7.70795i | 0.377933 | − | 0.274584i | ||||
\(789\) | 15.9500 | + | 11.5884i | 0.567835 | + | 0.412556i | ||||
\(790\) | 62.7406 | − | 10.3301i | 2.23221 | − | 0.367527i | ||||
\(791\) | −34.0819 | + | 24.7619i | −1.21181 | + | 0.880433i | ||||
\(792\) | −3.39082 | + | 10.4359i | −0.120488 | + | 0.370823i | ||||
\(793\) | 18.3662 | 0.652203 | ||||||||
\(794\) | 1.03200 | − | 3.17617i | 0.0366243 | − | 0.112718i | ||||
\(795\) | 5.62689 | + | 2.82392i | 0.199565 | + | 0.100154i | ||||
\(796\) | −2.45833 | − | 7.56596i | −0.0871331 | − | 0.268168i | ||||
\(797\) | 1.14642 | + | 3.52831i | 0.0406082 | + | 0.124979i | 0.969305 | − | 0.245860i | \(-0.0790702\pi\) |
−0.928697 | + | 0.370839i | \(0.879070\pi\) | |||||||
\(798\) | 12.8340 | + | 9.32443i | 0.454318 | + | 0.330081i | ||||
\(799\) | 14.7052 | 0.520233 | ||||||||
\(800\) | −13.8813 | + | 19.6048i | −0.490778 | + | 0.693136i | ||||
\(801\) | −3.47327 | −0.122722 | ||||||||
\(802\) | −45.3261 | − | 32.9313i | −1.60052 | − | 1.16285i | ||||
\(803\) | −24.3146 | − | 74.8326i | −0.858043 | − | 2.64079i | ||||
\(804\) | 1.69900 | + | 5.22898i | 0.0599190 | + | 0.184412i | ||||
\(805\) | −0.774709 | + | 5.09229i | −0.0273049 | + | 0.179480i | ||||
\(806\) | −4.70111 | + | 14.4685i | −0.165589 | + | 0.509632i | ||||
\(807\) | 18.1647 | 0.639429 | ||||||||
\(808\) | −3.94533 | + | 12.1425i | −0.138796 | + | 0.427171i | ||||
\(809\) | −30.3414 | + | 22.0443i | −1.06675 | + | 0.775037i | −0.975325 | − | 0.220776i | \(-0.929141\pi\) |
−0.0914219 | + | 0.995812i | \(0.529141\pi\) | |||||||
\(810\) | −3.41018 | − | 1.71144i | −0.119822 | − | 0.0601338i | ||||
\(811\) | −36.9041 | − | 26.8124i | −1.29588 | − | 0.941509i | −0.295970 | − | 0.955197i | \(-0.595643\pi\) |
−0.999906 | + | 0.0136877i | \(0.995643\pi\) | |||||||
\(812\) | −11.3742 | + | 8.26387i | −0.399158 | + | 0.290005i | ||||
\(813\) | −18.2591 | + | 13.2660i | −0.640375 | + | 0.465260i | ||||
\(814\) | 0.170081 | + | 0.123571i | 0.00596135 | + | 0.00433117i | ||||
\(815\) | 43.4872 | + | 21.8245i | 1.52329 | + | 0.764480i | ||||
\(816\) | 10.9304 | − | 7.94139i | 0.382640 | − | 0.278004i | ||||
\(817\) | −0.927484 | + | 2.85450i | −0.0324486 | + | 0.0998664i | ||||
\(818\) | 67.5317 | 2.36119 | ||||||||
\(819\) | −4.00894 | + | 12.3382i | −0.140084 | + | 0.431133i | ||||
\(820\) | −0.451366 | + | 2.96690i | −0.0157624 | + | 0.103609i | ||||
\(821\) | 13.9216 | + | 42.8462i | 0.485866 | + | 1.49534i | 0.830723 | + | 0.556686i | \(0.187927\pi\) |
−0.344857 | + | 0.938655i | \(0.612073\pi\) | |||||||
\(822\) | −8.04758 | − | 24.7679i | −0.280691 | − | 0.863880i | ||||
\(823\) | 33.5397 | + | 24.3680i | 1.16912 | + | 0.849415i | 0.990903 | − | 0.134576i | \(-0.0429672\pi\) |
0.178217 | + | 0.983991i | \(0.442967\pi\) | |||||||
\(824\) | 21.8266 | 0.760364 | ||||||||
\(825\) | −17.6557 | − | 23.6874i | −0.614691 | − | 0.824690i | ||||
\(826\) | −31.5529 | −1.09786 | ||||||||
\(827\) | 31.3035 | + | 22.7434i | 1.08853 | + | 0.790864i | 0.979151 | − | 0.203136i | \(-0.0651134\pi\) |
0.109380 | + | 0.994000i | \(0.465113\pi\) | |||||||
\(828\) | −0.164609 | − | 0.506614i | −0.00572056 | − | 0.0176061i | ||||
\(829\) | 7.45527 | + | 22.9450i | 0.258932 | + | 0.796911i | 0.993029 | + | 0.117867i | \(0.0376056\pi\) |
−0.734097 | + | 0.679044i | \(0.762394\pi\) | |||||||
\(830\) | −2.66554 | − | 1.33773i | −0.0925221 | − | 0.0464333i | ||||
\(831\) | 2.55091 | − | 7.85089i | 0.0884901 | − | 0.272344i | ||||
\(832\) | 5.87864 | 0.203805 | ||||||||
\(833\) | 7.14441 | − | 21.9882i | 0.247539 | − | 0.761847i | ||||
\(834\) | 25.1774 | − | 18.2924i | 0.871821 | − | 0.633415i | ||||
\(835\) | 49.8703 | − | 8.21101i | 1.72583 | − | 0.284154i | ||||
\(836\) | −10.2768 | − | 7.46650i | −0.355429 | − | 0.258234i | ||||
\(837\) | −2.19190 | + | 1.59251i | −0.0757633 | + | 0.0550452i | ||||
\(838\) | 27.0014 | − | 19.6177i | 0.932748 | − | 0.677681i | ||||
\(839\) | 14.3890 | + | 10.4542i | 0.496763 | + | 0.360919i | 0.807779 | − | 0.589485i | \(-0.200669\pi\) |
−0.311016 | + | 0.950405i | \(0.600669\pi\) | |||||||
\(840\) | 7.52125 | + | 14.5412i | 0.259508 | + | 0.501719i | ||||
\(841\) | 11.0826 | − | 8.05197i | 0.382158 | − | 0.277654i | ||||
\(842\) | 21.2671 | − | 65.4534i | 0.732913 | − | 2.25567i | ||||
\(843\) | 1.28129 | 0.0441300 | ||||||||
\(844\) | 0.838452 | − | 2.58049i | 0.0288607 | − | 0.0888242i | ||||
\(845\) | 4.79127 | − | 0.788869i | 0.164825 | − | 0.0271379i | ||||
\(846\) | −2.86510 | − | 8.81786i | −0.0985041 | − | 0.303164i | ||||
\(847\) | −29.1322 | − | 89.6598i | −1.00100 | − | 3.08075i | ||||
\(848\) | 11.3713 | + | 8.26176i | 0.390493 | + | 0.283710i | ||||
\(849\) | 2.67132 | 0.0916796 | ||||||||
\(850\) | 0.281854 | + | 23.0884i | 0.00966750 | + | 0.791927i | ||||
\(851\) | 0.0121834 | 0.000417642 | ||||||||
\(852\) | 5.97524 | + | 4.34126i | 0.204708 | + | 0.148729i | ||||
\(853\) | 3.96878 | + | 12.2147i | 0.135889 | + | 0.418222i | 0.995727 | − | 0.0923439i | \(-0.0294359\pi\) |
−0.859839 | + | 0.510566i | \(0.829436\pi\) | |||||||
\(854\) | 11.6026 | + | 35.7090i | 0.397032 | + | 1.22194i | ||||
\(855\) | −3.70571 | + | 3.75123i | −0.126733 | + | 0.128289i | ||||
\(856\) | 3.25258 | − | 10.0104i | 0.111171 | − | 0.342149i | ||||
\(857\) | −15.6015 | −0.532936 | −0.266468 | − | 0.963844i | \(-0.585857\pi\) | ||||
−0.266468 | + | 0.963844i | \(0.585857\pi\) | |||||||
\(858\) | 10.2524 | − | 31.5538i | 0.350013 | − | 1.07723i | ||||
\(859\) | −3.90628 | + | 2.83808i | −0.133281 | + | 0.0968340i | −0.652428 | − | 0.757851i | \(-0.726250\pi\) |
0.519147 | + | 0.854685i | \(0.326250\pi\) | |||||||
\(860\) | 1.82346 | − | 1.84586i | 0.0621796 | − | 0.0629433i | ||||
\(861\) | 4.69537 | + | 3.41138i | 0.160018 | + | 0.116260i | ||||
\(862\) | 18.9636 | − | 13.7779i | 0.645904 | − | 0.469276i | ||||
\(863\) | 10.6425 | − | 7.73222i | 0.362274 | − | 0.263208i | −0.391726 | − | 0.920082i | \(-0.628122\pi\) |
0.754000 | + | 0.656874i | \(0.228122\pi\) | |||||||
\(864\) | −3.88679 | − | 2.82392i | −0.132231 | − | 0.0960716i | ||||
\(865\) | −4.34235 | + | 28.5430i | −0.147644 | + | 0.970490i | ||||
\(866\) | −17.1529 | + | 12.4623i | −0.582879 | + | 0.423486i | ||||
\(867\) | −2.98993 | + | 9.20205i | −0.101543 | + | 0.312518i | ||||
\(868\) | −9.73792 | −0.330527 | ||||||||
\(869\) | −30.4281 | + | 93.6480i | −1.03220 | + | 3.17679i | ||||
\(870\) | −6.85691 | − | 13.2568i | −0.232471 | − | 0.449448i | ||||
\(871\) | 6.13249 | + | 18.8739i | 0.207792 | + | 0.639517i | ||||
\(872\) | −0.781196 | − | 2.40427i | −0.0264546 | − | 0.0814190i | ||||
\(873\) | 1.98567 | + | 1.44268i | 0.0672049 | + | 0.0488272i | ||||
\(874\) | −2.35111 | −0.0795274 | ||||||||
\(875\) | −43.6540 | − | 6.09702i | −1.47577 | − | 0.206117i | ||||
\(876\) | 12.1404 | 0.410185 | ||||||||
\(877\) | −5.05840 | − | 3.67515i | −0.170810 | − | 0.124101i | 0.499096 | − | 0.866547i | \(-0.333666\pi\) |
−0.669906 | + | 0.742446i | \(0.733666\pi\) | |||||||
\(878\) | −5.78199 | − | 17.7951i | −0.195133 | − | 0.600557i | ||||
\(879\) | 5.45741 | + | 16.7962i | 0.184074 | + | 0.566521i | ||||
\(880\) | −30.3025 | − | 58.5852i | −1.02150 | − | 1.97491i | ||||
\(881\) | −5.18532 | + | 15.9588i | −0.174698 | + | 0.537665i | −0.999620 | − | 0.0275821i | \(-0.991219\pi\) |
0.824922 | + | 0.565247i | \(0.191219\pi\) | |||||||
\(882\) | −14.5770 | −0.490834 | ||||||||
\(883\) | 5.01740 | − | 15.4420i | 0.168849 | − | 0.519664i | −0.830450 | − | 0.557093i | \(-0.811917\pi\) |
0.999299 | + | 0.0374289i | \(0.0119168\pi\) | |||||||
\(884\) | −6.56848 | + | 4.77228i | −0.220922 | + | 0.160509i | ||||
\(885\) | 1.57741 | − | 10.3686i | 0.0530242 | − | 0.348537i | ||||
\(886\) | 11.2259 | + | 8.15606i | 0.377140 | + | 0.274008i | ||||
\(887\) | −46.6700 | + | 33.9078i | −1.56703 | + | 1.13851i | −0.637091 | + | 0.770788i | \(0.719863\pi\) |
−0.929935 | + | 0.367723i | \(0.880137\pi\) | |||||||
\(888\) | 0.0313275 | − | 0.0227607i | 0.00105128 | − | 0.000763800i | ||||
\(889\) | −43.1945 | − | 31.3827i | −1.44870 | − | 1.05254i | ||||
\(890\) | 9.31351 | − | 9.42790i | 0.312190 | − | 0.316024i | ||||
\(891\) | 4.78023 | − | 3.47304i | 0.160144 | − | 0.116351i | ||||
\(892\) | −0.0858359 | + | 0.264176i | −0.00287400 | + | 0.00884526i | ||||
\(893\) | −12.8131 | −0.428774 | ||||||||
\(894\) | −7.76827 | + | 23.9083i | −0.259810 | + | 0.799612i | ||||
\(895\) | −10.1054 | + | 10.2295i | −0.337787 | + | 0.341936i | ||||
\(896\) | 15.4198 | + | 47.4572i | 0.515138 | + | 1.58543i | ||||
\(897\) | −0.594152 | − | 1.82861i | −0.0198382 | − | 0.0610556i | ||||
\(898\) | −45.4871 | − | 33.0483i | −1.51793 | − | 1.10284i | ||||
\(899\) | −10.5981 | −0.353465 | ||||||||
\(900\) | 4.31774 | − | 1.46142i | 0.143925 | − | 0.0487141i | ||||
\(901\) | 7.61988 | 0.253855 | ||||||||
\(902\) | −12.0079 | − | 8.72427i | −0.399820 | − | 0.290486i | ||||
\(903\) | −1.55061 | − | 4.77228i | −0.0516010 | − | 0.158812i | ||||
\(904\) | −6.13219 | − | 18.8729i | −0.203953 | − | 0.627704i | ||||
\(905\) | −32.4491 | + | 5.34265i | −1.07865 | + | 0.177596i | ||||
\(906\) | 9.19361 | − | 28.2950i | 0.305437 | − | 0.940039i | ||||
\(907\) | 9.00465 | 0.298995 | 0.149497 | − | 0.988762i | \(-0.452234\pi\) | ||||
0.149497 | + | 0.988762i | \(0.452234\pi\) | |||||||
\(908\) | −2.69670 | + | 8.29960i | −0.0894933 | + | 0.275432i | ||||
\(909\) | 5.56195 | − | 4.04100i | 0.184478 | − | 0.134031i | ||||
\(910\) | −22.7412 | − | 43.9666i | −0.753863 | − | 1.45748i | ||||
\(911\) | −24.2303 | − | 17.6044i | −0.802786 | − | 0.583258i | 0.108944 | − | 0.994048i | \(-0.465253\pi\) |
−0.911730 | + | 0.410789i | \(0.865253\pi\) | |||||||
\(912\) | −9.52397 | + | 6.91957i | −0.315370 | + | 0.229130i | ||||
\(913\) | 3.73642 | − | 2.71467i | 0.123658 | − | 0.0898425i | ||||
\(914\) | −31.5853 | − | 22.9481i | −1.04475 | − | 0.759056i | ||||
\(915\) | −12.3144 | + | 2.02753i | −0.407102 | + | 0.0670281i | ||||
\(916\) | −8.94596 | + | 6.49962i | −0.295583 | + | 0.214753i | ||||
\(917\) | −5.59477 | + | 17.2189i | −0.184756 | + | 0.568619i | ||||
\(918\) | −4.61803 | −0.152418 | ||||||||
\(919\) | 2.76125 | − | 8.49826i | 0.0910853 | − | 0.280332i | −0.895128 | − | 0.445808i | \(-0.852916\pi\) |
0.986214 | + | 0.165477i | \(0.0529162\pi\) | |||||||
\(920\) | −2.16855 | − | 1.08831i | −0.0714951 | − | 0.0358806i | ||||
\(921\) | −8.82532 | − | 27.1615i | −0.290804 | − | 0.895003i | ||||
\(922\) | −6.34995 | − | 19.5431i | −0.209125 | − | 0.643619i | ||||
\(923\) | 21.5675 | + | 15.6697i | 0.709902 | + | 0.515774i | ||||
\(924\) | 21.2370 | 0.698647 | ||||||||
\(925\) | 0.00127263 | + | 0.104249i | 4.18439e−5 | + | 0.00342770i | ||||
\(926\) | 46.4133 | 1.52524 | ||||||||
\(927\) | −9.50850 | − | 6.90833i | −0.312300 | − | 0.226899i | ||||
\(928\) | −5.80735 | − | 17.8732i | −0.190636 | − | 0.586716i | ||||
\(929\) | −12.8117 | − | 39.4304i | −0.420339 | − | 1.29367i | −0.907387 | − | 0.420296i | \(-0.861926\pi\) |
0.487048 | − | 0.873375i | \(-0.338074\pi\) | |||||||
\(930\) | 1.55481 | − | 10.2200i | 0.0509842 | − | 0.335128i | ||||
\(931\) | −6.22514 | + | 19.1590i | −0.204021 | + | 0.627911i | ||||
\(932\) | 18.3248 | 0.600250 | ||||||||
\(933\) | −9.06296 | + | 27.8929i | −0.296708 | + | 0.913173i | ||||
\(934\) | −5.44243 | + | 3.95416i | −0.178082 | + | 0.129384i | ||||
\(935\) | −31.9583 | − | 16.0386i | −1.04515 | − | 0.524519i | ||||
\(936\) | −4.94392 | − | 3.59197i | −0.161597 | − | 0.117407i | ||||
\(937\) | −16.8749 | + | 12.2603i | −0.551278 | + | 0.400527i | −0.828256 | − | 0.560349i | \(-0.810667\pi\) |
0.276978 | + | 0.960876i | \(0.410667\pi\) | |||||||
\(938\) | −32.8220 | + | 23.8466i | −1.07168 | + | 0.778618i | ||||
\(939\) | 14.1523 | + | 10.2823i | 0.461844 | + | 0.335549i | ||||
\(940\) | 9.89989 | + | 4.96837i | 0.322899 | + | 0.162050i | ||||
\(941\) | −2.97219 | + | 2.15942i | −0.0968905 | + | 0.0703951i | −0.635176 | − | 0.772368i | \(-0.719072\pi\) |
0.538285 | + | 0.842763i | \(0.319072\pi\) | |||||||
\(942\) | −9.44413 | + | 29.0661i | −0.307706 | + | 0.947023i | ||||
\(943\) | −0.860163 | −0.0280107 | ||||||||
\(944\) | 7.23565 | − | 22.2691i | 0.235500 | − | 0.724796i | ||||
\(945\) | 1.32589 | − | 8.71526i | 0.0431311 | − | 0.283508i | ||||
\(946\) | 3.96552 | + | 12.2046i | 0.128930 | + | 0.396807i | ||||
\(947\) | −9.79575 | − | 30.1482i | −0.318319 | − | 0.979685i | −0.974367 | − | 0.224966i | \(-0.927773\pi\) |
0.656048 | − | 0.754719i | \(-0.272227\pi\) | |||||||
\(948\) | −12.2913 | − | 8.93013i | −0.399202 | − | 0.290037i | ||||
\(949\) | 43.8204 | 1.42247 | ||||||||
\(950\) | −0.245588 | − | 20.1177i | −0.00796791 | − | 0.652703i | ||||
\(951\) | 3.91763 | 0.127038 | ||||||||
\(952\) | 16.0302 | + | 11.6466i | 0.519541 | + | 0.377469i | ||||
\(953\) | 7.91746 | + | 24.3674i | 0.256472 | + | 0.789339i | 0.993536 | + | 0.113516i | \(0.0362114\pi\) |
−0.737064 | + | 0.675822i | \(0.763789\pi\) | |||||||
\(954\) | −1.48462 | − | 4.56919i | −0.0480664 | − | 0.147933i | ||||
\(955\) | 13.4160 | + | 6.73299i | 0.434133 | + | 0.217875i | ||||
\(956\) | 4.97625 | − | 15.3153i | 0.160943 | − | 0.495333i | ||||
\(957\) | 23.1129 | 0.747133 | ||||||||
\(958\) | −10.5191 | + | 32.3746i | −0.339858 | + | 1.04598i | ||||
\(959\) | 48.6781 | − | 35.3667i | 1.57190 | − | 1.14205i | ||||
\(960\) | −3.94158 | + | 0.648971i | −0.127214 | + | 0.0209454i | ||||
\(961\) | 19.1409 | + | 13.9067i | 0.617449 | + | 0.448603i | ||||
\(962\) | −0.0947214 | + | 0.0688191i | −0.00305394 | + | 0.00221882i | ||||
\(963\) | −4.58535 | + | 3.33145i | −0.147761 | + | 0.107354i | ||||
\(964\) | −21.7865 | − | 15.8288i | −0.701697 | − | 0.509813i | ||||
\(965\) | −4.95995 | − | 9.58931i | −0.159666 | − | 0.308691i | ||||
\(966\) | 3.17999 | − | 2.31040i | 0.102314 | − | 0.0743358i | ||||
\(967\) | −8.96663 | + | 27.5965i | −0.288347 | + | 0.887442i | 0.697028 | + | 0.717044i | \(0.254505\pi\) |
−0.985375 | + | 0.170398i | \(0.945495\pi\) | |||||||
\(968\) | 44.4077 | 1.42732 | ||||||||
\(969\) | −1.97214 | + | 6.06961i | −0.0633541 | + | 0.194984i | ||||
\(970\) | −9.24056 | + | 1.52143i | −0.296696 | + | 0.0488502i | ||||
\(971\) | −1.16588 | − | 3.58821i | −0.0374149 | − | 0.115151i | 0.930605 | − | 0.366026i | \(-0.119282\pi\) |
−0.968020 | + | 0.250875i | \(0.919282\pi\) | |||||||
\(972\) | 0.281722 | + | 0.867051i | 0.00903624 | + | 0.0278107i | ||||
\(973\) | 58.1705 | + | 42.2634i | 1.86486 | + | 1.35490i | ||||
\(974\) | 18.7739 | 0.601553 | ||||||||
\(975\) | 15.5848 | − | 5.27498i | 0.499112 | − | 0.168934i | ||||
\(976\) | −27.8630 | −0.891874 | ||||||||
\(977\) | −29.7044 | − | 21.5815i | −0.950329 | − | 0.690455i | 0.000555441 | − | 1.00000i | \(-0.499823\pi\) |
−0.950885 | + | 0.309545i | \(0.899823\pi\) | |||||||
\(978\) | −11.4738 | − | 35.3128i | −0.366893 | − | 1.12918i | ||||
\(979\) | 6.34180 | + | 19.5181i | 0.202685 | + | 0.623800i | ||||
\(980\) | 12.2388 | − | 12.3891i | 0.390955 | − | 0.395757i | ||||
\(981\) | −0.420658 | + | 1.29465i | −0.0134306 | + | 0.0413350i | ||||
\(982\) | 56.8104 | 1.81289 | ||||||||
\(983\) | 7.28128 | − | 22.4095i | 0.232237 | − | 0.714752i | −0.765239 | − | 0.643746i | \(-0.777379\pi\) |
0.997476 | − | 0.0710055i | \(-0.0226208\pi\) | |||||||
\(984\) | −2.21175 | + | 1.60693i | −0.0705081 | + | 0.0512271i | ||||
\(985\) | −22.6040 | + | 22.8816i | −0.720223 | + | 0.729068i | ||||
\(986\) | −14.6143 | − | 10.6179i | −0.465413 | − | 0.338143i | ||||
\(987\) | 17.3304 | − | 12.5912i | 0.551631 | − | 0.400784i | ||||
\(988\) | 5.72331 | − | 4.15823i | 0.182083 | − | 0.132291i | ||||
\(989\) | 0.601653 | + | 0.437126i | 0.0191314 | + | 0.0138998i | ||||
\(990\) | −3.39082 | + | 22.2884i | −0.107767 | + | 0.708372i | ||||
\(991\) | −23.5727 | + | 17.1266i | −0.748812 | + | 0.544044i | −0.895458 | − | 0.445145i | \(-0.853152\pi\) |
0.146646 | + | 0.989189i | \(0.453152\pi\) | |||||||
\(992\) | 4.02235 | − | 12.3795i | 0.127710 | − | 0.393050i | ||||
\(993\) | −17.5534 | −0.557039 | ||||||||
\(994\) | −16.8413 | + | 51.8323i | −0.534175 | + | 1.64402i | ||||
\(995\) | 8.96425 | + | 17.3310i | 0.284186 | + | 0.549430i | ||||
\(996\) | 0.220205 | + | 0.677723i | 0.00697748 | + | 0.0214745i | ||||
\(997\) | 13.5733 | + | 41.7742i | 0.429870 | + | 1.32300i | 0.898254 | + | 0.439478i | \(0.144836\pi\) |
−0.468384 | + | 0.883525i | \(0.655164\pi\) | |||||||
\(998\) | −56.7993 | − | 41.2671i | −1.79795 | − | 1.30629i | ||||
\(999\) | −0.0208515 | −0.000659711 |
(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 | 75.2.g.b.16.2 | ✓ | 8 | |
3.2 | odd | 2 | 225.2.h.c.91.1 | 8 | |||
5.2 | odd | 4 | 375.2.i.b.49.2 | 16 | |||
5.3 | odd | 4 | 375.2.i.b.49.3 | 16 | |||
5.4 | even | 2 | 375.2.g.b.76.1 | 8 | |||
25.2 | odd | 20 | 375.2.i.b.199.3 | 16 | |||
25.6 | even | 5 | 1875.2.a.h.1.1 | 4 | |||
25.8 | odd | 20 | 1875.2.b.c.1249.6 | 8 | |||
25.11 | even | 5 | inner | 75.2.g.b.61.2 | yes | 8 | |
25.14 | even | 10 | 375.2.g.b.301.1 | 8 | |||
25.17 | odd | 20 | 1875.2.b.c.1249.3 | 8 | |||
25.19 | even | 10 | 1875.2.a.e.1.4 | 4 | |||
25.23 | odd | 20 | 375.2.i.b.199.2 | 16 | |||
75.11 | odd | 10 | 225.2.h.c.136.1 | 8 | |||
75.44 | odd | 10 | 5625.2.a.n.1.1 | 4 | |||
75.56 | odd | 10 | 5625.2.a.i.1.4 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
75.2.g.b.16.2 | ✓ | 8 | 1.1 | even | 1 | trivial | |
75.2.g.b.61.2 | yes | 8 | 25.11 | even | 5 | inner | |
225.2.h.c.91.1 | 8 | 3.2 | odd | 2 | |||
225.2.h.c.136.1 | 8 | 75.11 | odd | 10 | |||
375.2.g.b.76.1 | 8 | 5.4 | even | 2 | |||
375.2.g.b.301.1 | 8 | 25.14 | even | 10 | |||
375.2.i.b.49.2 | 16 | 5.2 | odd | 4 | |||
375.2.i.b.49.3 | 16 | 5.3 | odd | 4 | |||
375.2.i.b.199.2 | 16 | 25.23 | odd | 20 | |||
375.2.i.b.199.3 | 16 | 25.2 | odd | 20 | |||
1875.2.a.e.1.4 | 4 | 25.19 | even | 10 | |||
1875.2.a.h.1.1 | 4 | 25.6 | even | 5 | |||
1875.2.b.c.1249.3 | 8 | 25.17 | odd | 20 | |||
1875.2.b.c.1249.6 | 8 | 25.8 | odd | 20 | |||
5625.2.a.i.1.4 | 4 | 75.56 | odd | 10 | |||
5625.2.a.n.1.1 | 4 | 75.44 | odd | 10 |