Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(117,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 6, 3, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.117");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.bv (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 117.6 | ||
Character | \(\chi\) | \(=\) | 280.117 |
Dual form | 280.2.bv.e.213.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.29882 | − | 0.559518i | −0.918406 | − | 0.395639i | ||||
\(3\) | 1.21391 | + | 0.325266i | 0.700852 | + | 0.187793i | 0.591612 | − | 0.806223i | \(-0.298492\pi\) |
0.109240 | + | 0.994015i | \(0.465158\pi\) | |||||||
\(4\) | 1.37388 | + | 1.45343i | 0.686940 | + | 0.726714i | ||||
\(5\) | 2.11050 | − | 0.738764i | 0.943846 | − | 0.330385i | ||||
\(6\) | −1.39466 | − | 1.10167i | −0.569369 | − | 0.449754i | ||||
\(7\) | 2.63915 | − | 0.186831i | 0.997504 | − | 0.0706154i | ||||
\(8\) | −0.971208 | − | 2.65646i | −0.343374 | − | 0.939199i | ||||
\(9\) | −1.23029 | − | 0.710311i | −0.410098 | − | 0.236770i | ||||
\(10\) | −3.15452 | − | 0.221340i | −0.997547 | − | 0.0699939i | ||||
\(11\) | 1.03641 | − | 0.598372i | 0.312489 | − | 0.180416i | −0.335550 | − | 0.942022i | \(-0.608922\pi\) |
0.648040 | + | 0.761606i | \(0.275589\pi\) | |||||||
\(12\) | 1.19502 | + | 2.21121i | 0.344972 | + | 0.638321i | ||||
\(13\) | −3.40964 | + | 3.40964i | −0.945664 | + | 0.945664i | −0.998598 | − | 0.0529344i | \(-0.983143\pi\) |
0.0529344 | + | 0.998598i | \(0.483143\pi\) | |||||||
\(14\) | −3.53232 | − | 1.23399i | −0.944052 | − | 0.329797i | ||||
\(15\) | 2.80226 | − | 0.210318i | 0.723540 | − | 0.0543039i | ||||
\(16\) | −0.224907 | + | 3.99367i | −0.0562267 | + | 0.998418i | ||||
\(17\) | 6.64507 | + | 1.78054i | 1.61167 | + | 0.431844i | 0.948538 | − | 0.316662i | \(-0.102562\pi\) |
0.663127 | + | 0.748507i | \(0.269229\pi\) | |||||||
\(18\) | 1.20050 | + | 1.61094i | 0.282961 | + | 0.379702i | ||||
\(19\) | −5.60413 | − | 3.23554i | −1.28567 | − | 0.742285i | −0.307795 | − | 0.951453i | \(-0.599591\pi\) |
−0.977880 | + | 0.209168i | \(0.932925\pi\) | |||||||
\(20\) | 3.97332 | + | 2.05249i | 0.888461 | + | 0.458951i | ||||
\(21\) | 3.26446 | + | 0.631630i | 0.712363 | + | 0.137833i | ||||
\(22\) | −1.68091 | + | 0.197289i | −0.358372 | + | 0.0420622i | ||||
\(23\) | 0.101175 | + | 0.377591i | 0.0210965 | + | 0.0787332i | 0.975672 | − | 0.219237i | \(-0.0703569\pi\) |
−0.954575 | + | 0.297971i | \(0.903690\pi\) | |||||||
\(24\) | −0.314904 | − | 3.54060i | −0.0642795 | − | 0.722722i | ||||
\(25\) | 3.90845 | − | 3.11833i | 0.781691 | − | 0.623666i | ||||
\(26\) | 6.33627 | − | 2.52076i | 1.24264 | − | 0.494362i | ||||
\(27\) | −3.92836 | − | 3.92836i | −0.756013 | − | 0.756013i | ||||
\(28\) | 3.89742 | + | 3.57913i | 0.736542 | + | 0.676391i | ||||
\(29\) | 0.845412 | 0.156989 | 0.0784946 | − | 0.996915i | \(-0.474989\pi\) | ||||
0.0784946 | + | 0.996915i | \(0.474989\pi\) | |||||||
\(30\) | −3.75731 | − | 1.29475i | −0.685989 | − | 0.236387i | ||||
\(31\) | −1.69432 | + | 0.978216i | −0.304309 | + | 0.175693i | −0.644377 | − | 0.764708i | \(-0.722883\pi\) |
0.340068 | + | 0.940401i | \(0.389550\pi\) | |||||||
\(32\) | 2.52664 | − | 5.06123i | 0.446652 | − | 0.894708i | ||||
\(33\) | 1.45274 | − | 0.389261i | 0.252890 | − | 0.0677616i | ||||
\(34\) | −7.63452 | − | 6.03064i | −1.30931 | − | 1.03425i | ||||
\(35\) | 5.43191 | − | 2.34401i | 0.918160 | − | 0.396211i | ||||
\(36\) | −0.657891 | − | 2.76403i | −0.109649 | − | 0.460671i | ||||
\(37\) | 2.12857 | + | 7.94394i | 0.349935 | + | 1.30598i | 0.886740 | + | 0.462269i | \(0.152964\pi\) |
−0.536805 | + | 0.843706i | \(0.680369\pi\) | |||||||
\(38\) | 5.46842 | + | 7.33801i | 0.887095 | + | 1.19038i | ||||
\(39\) | −5.24804 | + | 3.02996i | −0.840359 | + | 0.485181i | ||||
\(40\) | −4.01223 | − | 4.88897i | −0.634390 | − | 0.773013i | ||||
\(41\) | − | 9.17369i | − | 1.43269i | −0.697746 | − | 0.716345i | \(-0.745814\pi\) | ||
0.697746 | − | 0.716345i | \(-0.254186\pi\) | |||||||
\(42\) | −3.88654 | − | 2.64690i | −0.599707 | − | 0.408425i | ||||
\(43\) | −1.94366 | − | 1.94366i | −0.296405 | − | 0.296405i | 0.543199 | − | 0.839604i | \(-0.317213\pi\) |
−0.839604 | + | 0.543199i | \(0.817213\pi\) | |||||||
\(44\) | 2.29359 | + | 0.684257i | 0.345772 | + | 0.103156i | ||||
\(45\) | −3.12129 | − | 0.590216i | −0.465295 | − | 0.0879842i | ||||
\(46\) | 0.0798602 | − | 0.547033i | 0.0117747 | − | 0.0806556i | ||||
\(47\) | 1.62690 | + | 6.07167i | 0.237308 | + | 0.885645i | 0.977095 | + | 0.212804i | \(0.0682595\pi\) |
−0.739787 | + | 0.672841i | \(0.765074\pi\) | |||||||
\(48\) | −1.57202 | + | 4.77481i | −0.226902 | + | 0.689184i | ||||
\(49\) | 6.93019 | − | 0.986148i | 0.990027 | − | 0.140878i | ||||
\(50\) | −6.82115 | + | 1.86331i | −0.964656 | + | 0.263512i | ||||
\(51\) | 7.48737 | + | 4.32283i | 1.04844 | + | 0.605318i | ||||
\(52\) | −9.64010 | − | 0.271230i | −1.33684 | − | 0.0376128i | ||||
\(53\) | −0.731932 | + | 2.73161i | −0.100539 | + | 0.375215i | −0.997801 | − | 0.0662827i | \(-0.978886\pi\) |
0.897262 | + | 0.441498i | \(0.145553\pi\) | |||||||
\(54\) | 2.90426 | + | 7.30023i | 0.395219 | + | 0.993436i | ||||
\(55\) | 1.74529 | − | 2.02853i | 0.235335 | − | 0.273527i | ||||
\(56\) | −3.05947 | − | 6.82932i | −0.408839 | − | 0.912607i | ||||
\(57\) | −5.75050 | − | 5.75050i | −0.761672 | − | 0.761672i | ||||
\(58\) | −1.09804 | − | 0.473023i | −0.144180 | − | 0.0621110i | ||||
\(59\) | −4.65384 | + | 2.68690i | −0.605879 | + | 0.349804i | −0.771351 | − | 0.636410i | \(-0.780419\pi\) |
0.165472 | + | 0.986214i | \(0.447085\pi\) | |||||||
\(60\) | 4.15565 | + | 3.78393i | 0.536492 | + | 0.488503i | ||||
\(61\) | −2.40927 | + | 4.17298i | −0.308476 | + | 0.534296i | −0.978029 | − | 0.208468i | \(-0.933152\pi\) |
0.669553 | + | 0.742764i | \(0.266486\pi\) | |||||||
\(62\) | 2.74795 | − | 0.322527i | 0.348990 | − | 0.0409610i | ||||
\(63\) | −3.37964 | − | 1.64476i | −0.425794 | − | 0.207220i | ||||
\(64\) | −6.11351 | + | 5.15994i | −0.764189 | + | 0.644993i | ||||
\(65\) | −4.67714 | + | 9.71498i | −0.580127 | + | 1.20499i | ||||
\(66\) | −2.10465 | − | 0.307253i | −0.259065 | − | 0.0378203i | ||||
\(67\) | −5.50754 | − | 1.47574i | −0.672853 | − | 0.180291i | −0.0938136 | − | 0.995590i | \(-0.529906\pi\) |
−0.579040 | + | 0.815299i | \(0.696572\pi\) | |||||||
\(68\) | 6.54164 | + | 12.1044i | 0.793290 | + | 1.46787i | ||||
\(69\) | 0.491271i | 0.0591421i | ||||||||
\(70\) | −8.36660 | + | 0.00521267i | −1.00000 | + | 0.000623033i | ||||
\(71\) | −9.20735 | −1.09271 | −0.546355 | − | 0.837553i | \(-0.683985\pi\) | ||||
−0.546355 | + | 0.837553i | \(0.683985\pi\) | |||||||
\(72\) | −0.692037 | + | 3.95808i | −0.0815574 | + | 0.466464i | ||||
\(73\) | −2.20801 | + | 8.24040i | −0.258428 | + | 0.964466i | 0.707723 | + | 0.706490i | \(0.249722\pi\) |
−0.966151 | + | 0.257976i | \(0.916944\pi\) | |||||||
\(74\) | 1.68014 | − | 11.5087i | 0.195312 | − | 1.33786i | ||||
\(75\) | 5.75880 | − | 2.51409i | 0.664969 | − | 0.290302i | ||||
\(76\) | −2.99677 | − | 12.5904i | −0.343753 | − | 1.44422i | ||||
\(77\) | 2.62344 | − | 1.77282i | 0.298969 | − | 0.202032i | ||||
\(78\) | 8.51159 | − | 0.999006i | 0.963747 | − | 0.113115i | ||||
\(79\) | −11.2282 | − | 6.48258i | −1.26327 | − | 0.729347i | −0.289561 | − | 0.957160i | \(-0.593509\pi\) |
−0.973705 | + | 0.227813i | \(0.926843\pi\) | |||||||
\(80\) | 2.47572 | + | 8.59481i | 0.276793 | + | 0.960929i | ||||
\(81\) | −1.35998 | − | 2.35556i | −0.151109 | − | 0.261729i | ||||
\(82\) | −5.13284 | + | 11.9150i | −0.566828 | + | 1.31579i | ||||
\(83\) | −2.85713 | + | 2.85713i | −0.313611 | + | 0.313611i | −0.846307 | − | 0.532696i | \(-0.821179\pi\) |
0.532696 | + | 0.846307i | \(0.321179\pi\) | |||||||
\(84\) | 3.56695 | + | 5.61244i | 0.389186 | + | 0.612367i | ||||
\(85\) | 15.3398 | − | 1.15130i | 1.66384 | − | 0.124876i | ||||
\(86\) | 1.43695 | + | 3.61197i | 0.154951 | + | 0.389489i | ||||
\(87\) | 1.02626 | + | 0.274984i | 0.110026 | + | 0.0294814i | ||||
\(88\) | −2.59612 | − | 2.17203i | −0.276747 | − | 0.231540i | ||||
\(89\) | −1.53866 | + | 2.66504i | −0.163098 | + | 0.282494i | −0.935978 | − | 0.352058i | \(-0.885482\pi\) |
0.772880 | + | 0.634552i | \(0.218815\pi\) | |||||||
\(90\) | 3.72377 | + | 2.51301i | 0.392520 | + | 0.264894i | ||||
\(91\) | −8.36151 | + | 9.63556i | −0.876524 | + | 1.01008i | ||||
\(92\) | −0.409799 | + | 0.665816i | −0.0427245 | + | 0.0694161i | ||||
\(93\) | −2.37493 | + | 0.636362i | −0.246269 | + | 0.0659876i | ||||
\(94\) | 1.28415 | − | 8.79631i | 0.132450 | − | 0.907270i | ||||
\(95\) | −14.2178 | − | 2.68850i | −1.45872 | − | 0.275834i | ||||
\(96\) | 4.71337 | − | 5.32205i | 0.481056 | − | 0.543180i | ||||
\(97\) | −7.67886 | + | 7.67886i | −0.779670 | + | 0.779670i | −0.979775 | − | 0.200104i | \(-0.935872\pi\) |
0.200104 | + | 0.979775i | \(0.435872\pi\) | |||||||
\(98\) | −9.55285 | − | 2.59673i | −0.964984 | − | 0.262309i | ||||
\(99\) | −1.70012 | −0.170869 | ||||||||
\(100\) | 9.90202 | + | 1.39645i | 0.990202 | + | 0.139645i | ||||
\(101\) | −0.399840 | − | 0.692543i | −0.0397856 | − | 0.0689106i | 0.845447 | − | 0.534059i | \(-0.179334\pi\) |
−0.885232 | + | 0.465149i | \(0.846001\pi\) | |||||||
\(102\) | −7.30606 | − | 9.80391i | −0.723408 | − | 0.970732i | ||||
\(103\) | 13.0659 | − | 3.50098i | 1.28742 | − | 0.344962i | 0.450738 | − | 0.892656i | \(-0.351161\pi\) |
0.836679 | + | 0.547694i | \(0.184494\pi\) | |||||||
\(104\) | 12.3690 | + | 5.74608i | 1.21288 | + | 0.563450i | ||||
\(105\) | 7.35628 | − | 1.07861i | 0.717899 | − | 0.105261i | ||||
\(106\) | 2.47903 | − | 3.13834i | 0.240785 | − | 0.304823i | ||||
\(107\) | −4.56846 | − | 17.0497i | −0.441650 | − | 1.64826i | −0.724633 | − | 0.689135i | \(-0.757990\pi\) |
0.282982 | − | 0.959125i | \(-0.408676\pi\) | |||||||
\(108\) | 0.312493 | − | 11.1067i | 0.0300697 | − | 1.06874i | ||||
\(109\) | −4.48121 | − | 7.76168i | −0.429222 | − | 0.743434i | 0.567582 | − | 0.823317i | \(-0.307879\pi\) |
−0.996804 | + | 0.0798824i | \(0.974546\pi\) | |||||||
\(110\) | −3.40182 | + | 1.65818i | −0.324351 | + | 0.158101i | ||||
\(111\) | 10.3356i | 0.981010i | ||||||||
\(112\) | 0.152579 | + | 10.5819i | 0.0144174 | + | 0.999896i | ||||
\(113\) | 11.9228 | − | 11.9228i | 1.12160 | − | 1.12160i | 0.130099 | − | 0.991501i | \(-0.458471\pi\) |
0.991501 | − | 0.130099i | \(-0.0415294\pi\) | |||||||
\(114\) | 4.25137 | + | 10.6864i | 0.398177 | + | 1.00087i | ||||
\(115\) | 0.492481 | + | 0.722163i | 0.0459241 | + | 0.0673420i | ||||
\(116\) | 1.16150 | + | 1.22875i | 0.107842 | + | 0.114086i | ||||
\(117\) | 6.61676 | − | 1.77296i | 0.611720 | − | 0.163910i | ||||
\(118\) | 7.54788 | − | 0.885896i | 0.694839 | − | 0.0815534i | ||||
\(119\) | 17.8700 | + | 3.45760i | 1.63814 | + | 0.316958i | ||||
\(120\) | −3.28028 | − | 7.23981i | −0.299447 | − | 0.660902i | ||||
\(121\) | −4.78390 | + | 8.28596i | −0.434900 | + | 0.753269i | ||||
\(122\) | 5.46407 | − | 4.07193i | 0.494694 | − | 0.368655i | ||||
\(123\) | 2.98389 | − | 11.1360i | 0.269049 | − | 1.00410i | ||||
\(124\) | −3.74956 | − | 1.11862i | −0.336720 | − | 0.100455i | ||||
\(125\) | 5.94510 | − | 9.46868i | 0.531746 | − | 0.846904i | ||||
\(126\) | 3.46928 | + | 4.02721i | 0.309068 | + | 0.358773i | ||||
\(127\) | −8.79830 | − | 8.79830i | −0.780723 | − | 0.780723i | 0.199230 | − | 0.979953i | \(-0.436156\pi\) |
−0.979953 | + | 0.199230i | \(0.936156\pi\) | |||||||
\(128\) | 10.8274 | − | 3.28123i | 0.957020 | − | 0.290023i | ||||
\(129\) | −1.72722 | − | 2.99163i | −0.152073 | − | 0.263398i | ||||
\(130\) | 11.5105 | − | 10.0011i | 1.00954 | − | 0.877154i | ||||
\(131\) | 4.16907 | − | 7.22105i | 0.364254 | − | 0.630906i | −0.624402 | − | 0.781103i | \(-0.714657\pi\) |
0.988656 | + | 0.150197i | \(0.0479908\pi\) | |||||||
\(132\) | 2.56165 | + | 1.57666i | 0.222963 | + | 0.137230i | ||||
\(133\) | −15.3946 | − | 7.49205i | −1.33488 | − | 0.649643i | ||||
\(134\) | 6.32762 | + | 4.99829i | 0.546623 | + | 0.431787i | ||||
\(135\) | −11.1930 | − | 5.38869i | −0.963336 | − | 0.463785i | ||||
\(136\) | −1.72382 | − | 19.3816i | −0.147816 | − | 1.66196i | ||||
\(137\) | −2.76191 | + | 10.3076i | −0.235966 | + | 0.880636i | 0.741745 | + | 0.670682i | \(0.233998\pi\) |
−0.977711 | + | 0.209955i | \(0.932668\pi\) | |||||||
\(138\) | 0.274875 | − | 0.638074i | 0.0233989 | − | 0.0543164i | ||||
\(139\) | 10.7051i | 0.907996i | 0.891003 | + | 0.453998i | \(0.150003\pi\) | ||||
−0.891003 | + | 0.453998i | \(0.849997\pi\) | |||||||
\(140\) | 10.8696 | + | 4.67449i | 0.918653 | + | 0.395066i | ||||
\(141\) | 7.89965i | 0.665270i | ||||||||
\(142\) | 11.9587 | + | 5.15167i | 1.00355 | + | 0.432319i | ||||
\(143\) | −1.49355 | + | 5.57402i | −0.124897 | + | 0.466123i | ||||
\(144\) | 3.11345 | − | 4.75364i | 0.259454 | − | 0.396137i | ||||
\(145\) | 1.78425 | − | 0.624561i | 0.148174 | − | 0.0518669i | ||||
\(146\) | 7.47846 | − | 9.46740i | 0.618922 | − | 0.783528i | ||||
\(147\) | 8.73339 | + | 1.05706i | 0.720318 | + | 0.0871850i | ||||
\(148\) | −8.62154 | + | 14.0077i | −0.708686 | + | 1.15143i | ||||
\(149\) | −3.33948 | + | 5.78414i | −0.273580 | + | 0.473855i | −0.969776 | − | 0.243997i | \(-0.921541\pi\) |
0.696196 | + | 0.717852i | \(0.254875\pi\) | |||||||
\(150\) | −8.88634 | + | 0.0431999i | −0.725567 | + | 0.00352725i | ||||
\(151\) | 6.94865 | + | 12.0354i | 0.565473 | + | 0.979428i | 0.997006 | + | 0.0773305i | \(0.0246397\pi\) |
−0.431533 | + | 0.902097i | \(0.642027\pi\) | |||||||
\(152\) | −3.15231 | + | 18.0295i | −0.255686 | + | 1.46239i | ||||
\(153\) | −6.91065 | − | 6.91065i | −0.558693 | − | 0.558693i | ||||
\(154\) | −4.39932 | + | 0.834721i | −0.354507 | + | 0.0672637i | ||||
\(155\) | −2.85320 | + | 3.31623i | −0.229174 | + | 0.266366i | ||||
\(156\) | −11.6140 | − | 3.46485i | −0.929864 | − | 0.277410i | ||||
\(157\) | 0.553836 | − | 2.06694i | 0.0442009 | − | 0.164960i | −0.940297 | − | 0.340354i | \(-0.889453\pi\) |
0.984498 | + | 0.175394i | \(0.0561199\pi\) | |||||||
\(158\) | 10.9563 | + | 14.7021i | 0.871633 | + | 1.16963i | ||||
\(159\) | −1.77700 | + | 3.07786i | −0.140925 | + | 0.244090i | ||||
\(160\) | 1.59343 | − | 12.5483i | 0.125972 | − | 0.992034i | ||||
\(161\) | 0.337562 | + | 0.977615i | 0.0266036 | + | 0.0770469i | ||||
\(162\) | 0.448400 | + | 3.82039i | 0.0352296 | + | 0.300158i | ||||
\(163\) | 2.01839 | − | 0.540827i | 0.158093 | − | 0.0423608i | −0.178905 | − | 0.983866i | \(-0.557255\pi\) |
0.336997 | + | 0.941506i | \(0.390589\pi\) | |||||||
\(164\) | 13.3333 | − | 12.6036i | 1.04116 | − | 0.984172i | ||||
\(165\) | 2.77844 | − | 1.89477i | 0.216301 | − | 0.147508i | ||||
\(166\) | 5.30952 | − | 2.11229i | 0.412099 | − | 0.163945i | ||||
\(167\) | 6.09891 | − | 6.09891i | 0.471948 | − | 0.471948i | −0.430597 | − | 0.902545i | \(-0.641697\pi\) |
0.902545 | + | 0.430597i | \(0.141697\pi\) | |||||||
\(168\) | −1.49257 | − | 9.28533i | −0.115154 | − | 0.716379i | ||||
\(169\) | − | 10.2513i | − | 0.788559i | ||||||
\(170\) | −20.5679 | − | 7.08757i | −1.57749 | − | 0.543592i | ||||
\(171\) | 4.59649 | + | 7.96135i | 0.351502 | + | 0.608819i | ||||
\(172\) | 0.154614 | − | 5.49531i | 0.0117892 | − | 0.419014i | ||||
\(173\) | 2.10683 | + | 7.86281i | 0.160180 | + | 0.597798i | 0.998606 | + | 0.0527835i | \(0.0168093\pi\) |
−0.838426 | + | 0.545015i | \(0.816524\pi\) | |||||||
\(174\) | −1.17907 | − | 0.931364i | −0.0893847 | − | 0.0706065i | ||||
\(175\) | 9.73238 | − | 8.95995i | 0.735699 | − | 0.677309i | ||||
\(176\) | 2.15661 | + | 4.27366i | 0.162560 | + | 0.322139i | ||||
\(177\) | −6.52331 | + | 1.74792i | −0.490322 | + | 0.131381i | ||||
\(178\) | 3.48959 | − | 2.60051i | 0.261556 | − | 0.194916i | ||||
\(179\) | −2.05446 | − | 3.55843i | −0.153557 | − | 0.265969i | 0.778975 | − | 0.627054i | \(-0.215740\pi\) |
−0.932533 | + | 0.361085i | \(0.882406\pi\) | |||||||
\(180\) | −3.43045 | − | 5.34746i | −0.255690 | − | 0.398576i | ||||
\(181\) | 14.5319 | 1.08014 | 0.540072 | − | 0.841619i | \(-0.318397\pi\) | ||||
0.540072 | + | 0.841619i | \(0.318397\pi\) | |||||||
\(182\) | 16.2514 | − | 7.83647i | 1.20463 | − | 0.580878i | ||||
\(183\) | −4.28197 | + | 4.28197i | −0.316533 | + | 0.316533i | ||||
\(184\) | 0.904792 | − | 0.635487i | 0.0667021 | − | 0.0468487i | ||||
\(185\) | 10.3611 | + | 15.1932i | 0.761760 | + | 1.11703i | ||||
\(186\) | 3.44067 | + | 0.502297i | 0.252282 | + | 0.0368302i | ||||
\(187\) | 7.95244 | − | 2.13085i | 0.581540 | − | 0.155823i | ||||
\(188\) | −6.58958 | + | 10.7063i | −0.480594 | + | 0.780840i | ||||
\(189\) | −11.1015 | − | 9.63358i | −0.807512 | − | 0.700740i | ||||
\(190\) | 16.9622 | + | 11.4470i | 1.23057 | + | 0.830454i | ||||
\(191\) | 1.85526 | − | 3.21340i | 0.134242 | − | 0.232514i | −0.791066 | − | 0.611731i | \(-0.790473\pi\) |
0.925308 | + | 0.379218i | \(0.123807\pi\) | |||||||
\(192\) | −9.09961 | + | 4.27519i | −0.656708 | + | 0.308535i | ||||
\(193\) | −14.5498 | − | 3.89860i | −1.04732 | − | 0.280628i | −0.306174 | − | 0.951976i | \(-0.599049\pi\) |
−0.741142 | + | 0.671348i | \(0.765716\pi\) | |||||||
\(194\) | 14.2699 | − | 5.67702i | 1.02452 | − | 0.407586i | ||||
\(195\) | −8.83758 | + | 10.2718i | −0.632872 | + | 0.735579i | ||||
\(196\) | 10.9545 | + | 8.71768i | 0.782467 | + | 0.622692i | ||||
\(197\) | −9.86832 | + | 9.86832i | −0.703088 | + | 0.703088i | −0.965072 | − | 0.261984i | \(-0.915623\pi\) |
0.261984 | + | 0.965072i | \(0.415623\pi\) | |||||||
\(198\) | 2.20815 | + | 0.951247i | 0.156927 | + | 0.0676022i | ||||
\(199\) | 2.25308 | + | 3.90246i | 0.159717 | + | 0.276638i | 0.934767 | − | 0.355263i | \(-0.115609\pi\) |
−0.775050 | + | 0.631900i | \(0.782275\pi\) | |||||||
\(200\) | −12.0796 | − | 7.35409i | −0.854159 | − | 0.520013i | ||||
\(201\) | −6.20566 | − | 3.58284i | −0.437713 | − | 0.252714i | ||||
\(202\) | 0.131831 | + | 1.12321i | 0.00927560 | + | 0.0790286i | ||||
\(203\) | 2.23117 | − | 0.157949i | 0.156597 | − | 0.0110859i | ||||
\(204\) | 4.00382 | + | 16.8214i | 0.280323 | + | 1.17773i | ||||
\(205\) | −6.77720 | − | 19.3611i | −0.473340 | − | 1.35224i | ||||
\(206\) | −18.9291 | − | 2.76342i | −1.31885 | − | 0.192536i | ||||
\(207\) | 0.143732 | − | 0.536414i | 0.00999004 | − | 0.0372834i | ||||
\(208\) | −12.8501 | − | 14.3838i | −0.890996 | − | 0.997339i | ||||
\(209\) | −7.74423 | −0.535680 | ||||||||
\(210\) | −10.1580 | − | 2.71505i | −0.700969 | − | 0.187356i | ||||
\(211\) | − | 4.28235i | − | 0.294809i | −0.989076 | − | 0.147404i | \(-0.952908\pi\) | ||
0.989076 | − | 0.147404i | \(-0.0470919\pi\) | |||||||
\(212\) | −4.97578 | + | 2.68909i | −0.341738 | + | 0.184688i | ||||
\(213\) | −11.1769 | − | 2.99484i | −0.765828 | − | 0.205203i | ||||
\(214\) | −3.60601 | + | 24.7007i | −0.246501 | + | 1.68851i | ||||
\(215\) | −5.53800 | − | 2.66619i | −0.377688 | − | 0.181833i | ||||
\(216\) | −6.62026 | + | 14.2508i | −0.450452 | + | 0.969642i | ||||
\(217\) | −4.28880 | + | 2.89821i | −0.291143 | + | 0.196743i | ||||
\(218\) | 1.47750 | + | 12.5884i | 0.100069 | + | 0.852591i | ||||
\(219\) | −5.36065 | + | 9.28492i | −0.362239 | + | 0.627417i | ||||
\(220\) | 5.34614 | − | 0.250299i | 0.360437 | − | 0.0168751i | ||||
\(221\) | −28.7283 | + | 16.5863i | −1.93247 | + | 1.11571i | ||||
\(222\) | 5.78294 | − | 13.4241i | 0.388126 | − | 0.900966i | ||||
\(223\) | 16.1614 | + | 16.1614i | 1.08225 | + | 1.08225i | 0.996300 | + | 0.0859478i | \(0.0273918\pi\) |
0.0859478 | + | 0.996300i | \(0.472608\pi\) | |||||||
\(224\) | 5.72259 | − | 13.8294i | 0.382357 | − | 0.924015i | ||||
\(225\) | −7.02353 | + | 1.06025i | −0.468236 | + | 0.0706831i | ||||
\(226\) | −22.1566 | + | 8.81456i | −1.47383 | + | 0.586336i | ||||
\(227\) | −0.258564 | + | 0.964972i | −0.0171615 | + | 0.0640475i | −0.973976 | − | 0.226653i | \(-0.927222\pi\) |
0.956814 | + | 0.290700i | \(0.0938883\pi\) | |||||||
\(228\) | 0.457441 | − | 16.2584i | 0.0302947 | − | 1.07674i | ||||
\(229\) | 3.48380 | + | 2.01137i | 0.230216 | + | 0.132915i | 0.610672 | − | 0.791884i | \(-0.290899\pi\) |
−0.380456 | + | 0.924799i | \(0.624233\pi\) | |||||||
\(230\) | −0.235583 | − | 1.21351i | −0.0155339 | − | 0.0800167i | ||||
\(231\) | 3.76127 | − | 1.29873i | 0.247473 | − | 0.0854503i | ||||
\(232\) | −0.821071 | − | 2.24580i | −0.0539060 | − | 0.147444i | ||||
\(233\) | −4.89238 | − | 18.2586i | −0.320510 | − | 1.19616i | −0.918749 | − | 0.394843i | \(-0.870799\pi\) |
0.598238 | − | 0.801318i | \(-0.295868\pi\) | |||||||
\(234\) | −9.58600 | − | 1.39944i | −0.626657 | − | 0.0914842i | ||||
\(235\) | 7.91912 | + | 11.6124i | 0.516586 | + | 0.757509i | ||||
\(236\) | −10.2990 | − | 3.07255i | −0.670410 | − | 0.200006i | ||||
\(237\) | −11.5214 | − | 11.5214i | −0.748396 | − | 0.748396i | ||||
\(238\) | −21.2753 | − | 14.4894i | −1.37907 | − | 0.939207i | ||||
\(239\) | − | 5.89245i | − | 0.381151i | −0.981673 | − | 0.190575i | \(-0.938965\pi\) | ||
0.981673 | − | 0.190575i | \(-0.0610353\pi\) | |||||||
\(240\) | 0.209694 | + | 11.2386i | 0.0135357 | + | 0.725449i | ||||
\(241\) | 12.3017 | − | 7.10239i | 0.792422 | − | 0.457505i | −0.0483923 | − | 0.998828i | \(-0.515410\pi\) |
0.840815 | + | 0.541323i | \(0.182076\pi\) | |||||||
\(242\) | 10.8496 | − | 8.08532i | 0.697438 | − | 0.519744i | ||||
\(243\) | 3.42893 | + | 12.7969i | 0.219966 | + | 0.820923i | ||||
\(244\) | −9.37518 | + | 2.23147i | −0.600184 | + | 0.142855i | ||||
\(245\) | 13.8977 | − | 7.20105i | 0.887889 | − | 0.460058i | ||||
\(246\) | −10.1064 | + | 12.7942i | −0.644358 | + | 0.815729i | ||||
\(247\) | 30.1401 | − | 8.07601i | 1.91777 | − | 0.513864i | ||||
\(248\) | 4.24412 | + | 3.55083i | 0.269502 | + | 0.225478i | ||||
\(249\) | −4.39763 | + | 2.53897i | −0.278688 | + | 0.160901i | ||||
\(250\) | −13.0195 | + | 8.97174i | −0.823427 | + | 0.567423i | ||||
\(251\) | 23.2774 | 1.46926 | 0.734628 | − | 0.678471i | \(-0.237357\pi\) | ||||
0.734628 | + | 0.678471i | \(0.237357\pi\) | |||||||
\(252\) | −2.25268 | − | 7.17176i | −0.141905 | − | 0.451778i | ||||
\(253\) | 0.330799 | + | 0.330799i | 0.0207971 | + | 0.0207971i | ||||
\(254\) | 6.50463 | + | 16.3502i | 0.408137 | + | 1.02591i | ||||
\(255\) | 18.9957 | + | 3.59196i | 1.18956 | + | 0.224937i | ||||
\(256\) | −15.8988 | − | 1.79641i | −0.993677 | − | 0.112275i | ||||
\(257\) | −1.34001 | − | 5.00100i | −0.0835877 | − | 0.311954i | 0.911455 | − | 0.411399i | \(-0.134960\pi\) |
−0.995043 | + | 0.0994455i | \(0.968293\pi\) | |||||||
\(258\) | 0.569481 | + | 4.85201i | 0.0354543 | + | 0.302073i | ||||
\(259\) | 7.10178 | + | 20.5675i | 0.441283 | + | 1.27800i | ||||
\(260\) | −20.5458 | + | 6.54933i | −1.27420 | + | 0.406172i | ||||
\(261\) | −1.04011 | − | 0.600506i | −0.0643810 | − | 0.0371704i | ||||
\(262\) | −9.45519 | + | 7.04619i | −0.584144 | + | 0.435315i | ||||
\(263\) | −11.5897 | − | 3.10544i | −0.714650 | − | 0.191490i | −0.116867 | − | 0.993148i | \(-0.537285\pi\) |
−0.597783 | + | 0.801658i | \(0.703952\pi\) | |||||||
\(264\) | −2.44497 | − | 3.48109i | −0.150477 | − | 0.214246i | ||||
\(265\) | 0.473269 | + | 6.30579i | 0.0290727 | + | 0.387362i | ||||
\(266\) | 15.8029 | + | 18.3444i | 0.968940 | + | 1.12477i | ||||
\(267\) | −2.73465 | + | 2.73465i | −0.167358 | + | 0.167358i | ||||
\(268\) | −5.42182 | − | 10.0323i | −0.331190 | − | 0.612821i | ||||
\(269\) | 0.139084 | − | 0.0803001i | 0.00848009 | − | 0.00489598i | −0.495754 | − | 0.868463i | \(-0.665108\pi\) |
0.504234 | + | 0.863567i | \(0.331775\pi\) | |||||||
\(270\) | 11.5226 | + | 13.2616i | 0.701243 | + | 0.807076i | ||||
\(271\) | −7.18293 | − | 4.14707i | −0.436332 | − | 0.251916i | 0.265708 | − | 0.964053i | \(-0.414394\pi\) |
−0.702041 | + | 0.712137i | \(0.747727\pi\) | |||||||
\(272\) | −8.60541 | + | 26.1378i | −0.521780 | + | 1.58483i | ||||
\(273\) | −13.2843 | + | 8.97700i | −0.804000 | + | 0.543312i | ||||
\(274\) | 9.35450 | − | 11.8424i | 0.565126 | − | 0.715425i | ||||
\(275\) | 2.18484 | − | 5.57058i | 0.131751 | − | 0.335919i | ||||
\(276\) | −0.714027 | + | 0.674947i | −0.0429794 | + | 0.0406270i | ||||
\(277\) | 26.7910 | + | 7.17864i | 1.60972 | + | 0.431322i | 0.947958 | − | 0.318394i | \(-0.103144\pi\) |
0.661759 | + | 0.749717i | \(0.269810\pi\) | |||||||
\(278\) | 5.98970 | − | 13.9040i | 0.359238 | − | 0.833909i | ||||
\(279\) | 2.77935 | 0.166395 | ||||||||
\(280\) | −11.5023 | − | 12.1531i | −0.687393 | − | 0.726286i | ||||
\(281\) | 10.0208 | 0.597789 | 0.298895 | − | 0.954286i | \(-0.403382\pi\) | ||||
0.298895 | + | 0.954286i | \(0.403382\pi\) | |||||||
\(282\) | 4.41999 | − | 10.2602i | 0.263207 | − | 0.610988i | ||||
\(283\) | 12.8950 | + | 3.45521i | 0.766529 | + | 0.205391i | 0.620838 | − | 0.783939i | \(-0.286793\pi\) |
0.145692 | + | 0.989330i | \(0.453459\pi\) | |||||||
\(284\) | −12.6498 | − | 13.3822i | −0.750627 | − | 0.794088i | ||||
\(285\) | −16.3847 | − | 7.88819i | −0.970547 | − | 0.467256i | ||||
\(286\) | 5.05862 | − | 6.40399i | 0.299123 | − | 0.378676i | ||||
\(287\) | −1.71393 | − | 24.2107i | −0.101170 | − | 1.42911i | ||||
\(288\) | −6.70356 | + | 4.43210i | −0.395011 | + | 0.261164i | ||||
\(289\) | 26.2642 | + | 15.1636i | 1.54495 | + | 0.891978i | ||||
\(290\) | −2.66687 | − | 0.187124i | −0.156604 | − | 0.0109883i | ||||
\(291\) | −11.8191 | + | 6.82378i | −0.692850 | + | 0.400017i | ||||
\(292\) | −15.0104 | + | 8.11214i | −0.878416 | + | 0.474727i | ||||
\(293\) | 22.3253 | − | 22.3253i | 1.30426 | − | 1.30426i | 0.378767 | − | 0.925492i | \(-0.376348\pi\) |
0.925492 | − | 0.378767i | \(-0.123652\pi\) | |||||||
\(294\) | −10.7517 | − | 6.25942i | −0.627051 | − | 0.365057i | ||||
\(295\) | −7.83697 | + | 9.10880i | −0.456286 | + | 0.530335i | ||||
\(296\) | 19.0354 | − | 13.3697i | 1.10641 | − | 0.777096i | ||||
\(297\) | −6.42202 | − | 1.72077i | −0.372643 | − | 0.0998494i | ||||
\(298\) | 7.57371 | − | 5.64408i | 0.438734 | − | 0.326953i | ||||
\(299\) | −1.63242 | − | 0.942478i | −0.0944053 | − | 0.0545049i | ||||
\(300\) | 11.5660 | + | 4.91595i | 0.667760 | + | 0.283823i | ||||
\(301\) | −5.49273 | − | 4.76646i | −0.316595 | − | 0.274734i | ||||
\(302\) | −2.29104 | − | 19.5198i | −0.131834 | − | 1.12324i | ||||
\(303\) | −0.260109 | − | 0.970740i | −0.0149429 | − | 0.0557676i | ||||
\(304\) | 14.1821 | − | 21.6534i | 0.813400 | − | 1.24190i | ||||
\(305\) | −2.00193 | + | 10.5870i | −0.114630 | + | 0.606209i | ||||
\(306\) | 5.10908 | + | 12.8423i | 0.292067 | + | 0.734148i | ||||
\(307\) | −5.80998 | − | 5.80998i | −0.331593 | − | 0.331593i | 0.521598 | − | 0.853191i | \(-0.325336\pi\) |
−0.853191 | + | 0.521598i | \(0.825336\pi\) | |||||||
\(308\) | 6.18097 | + | 1.37734i | 0.352194 | + | 0.0784812i | ||||
\(309\) | 16.9995 | 0.967070 | ||||||||
\(310\) | 5.56129 | − | 2.71078i | 0.315860 | − | 0.153962i | ||||
\(311\) | −12.3326 | + | 7.12021i | −0.699316 | + | 0.403750i | −0.807093 | − | 0.590425i | \(-0.798960\pi\) |
0.107777 | + | 0.994175i | \(0.465627\pi\) | |||||||
\(312\) | 13.1459 | + | 10.9985i | 0.744239 | + | 0.622665i | ||||
\(313\) | 11.4330 | − | 3.06345i | 0.646229 | − | 0.173156i | 0.0792055 | − | 0.996858i | \(-0.474762\pi\) |
0.567023 | + | 0.823702i | \(0.308095\pi\) | |||||||
\(314\) | −1.87582 | + | 2.37471i | −0.105859 | + | 0.134013i | ||||
\(315\) | −8.34782 | − | 0.974513i | −0.470347 | − | 0.0549076i | ||||
\(316\) | −6.00418 | − | 25.2256i | −0.337761 | − | 1.41905i | ||||
\(317\) | 0.239713 | + | 0.894622i | 0.0134636 | + | 0.0502470i | 0.972331 | − | 0.233608i | \(-0.0750532\pi\) |
−0.958867 | + | 0.283855i | \(0.908387\pi\) | |||||||
\(318\) | 4.03012 | − | 3.00333i | 0.225998 | − | 0.168418i | ||||
\(319\) | 0.876194 | − | 0.505871i | 0.0490575 | − | 0.0283233i | ||||
\(320\) | −9.09061 | + | 15.4065i | −0.508180 | + | 0.861251i | ||||
\(321\) | − | 22.1828i | − | 1.23813i | ||||||
\(322\) | 0.108560 | − | 1.45862i | 0.00604981 | − | 0.0812858i | ||||
\(323\) | −31.4788 | − | 31.4788i | −1.75153 | − | 1.75153i | ||||
\(324\) | 1.55518 | − | 5.21290i | 0.0863991 | − | 0.289605i | ||||
\(325\) | −2.69404 | + | 23.9588i | −0.149438 | + | 1.32899i | ||||
\(326\) | −2.92414 | − | 0.426889i | −0.161953 | − | 0.0236432i | ||||
\(327\) | −2.91517 | − | 10.8796i | −0.161209 | − | 0.601642i | ||||
\(328\) | −24.3695 | + | 8.90956i | −1.34558 | + | 0.491948i | ||||
\(329\) | 5.42800 | + | 15.7201i | 0.299256 | + | 0.866676i | ||||
\(330\) | −4.66886 | + | 0.906381i | −0.257012 | + | 0.0498946i | ||||
\(331\) | 12.7385 | + | 7.35457i | 0.700170 | + | 0.404244i | 0.807411 | − | 0.589990i | \(-0.200868\pi\) |
−0.107240 | + | 0.994233i | \(0.534201\pi\) | |||||||
\(332\) | −8.07799 | − | 0.227279i | −0.443337 | − | 0.0124736i | ||||
\(333\) | 3.02390 | − | 11.2853i | 0.165708 | − | 0.618432i | ||||
\(334\) | −11.3339 | + | 4.50896i | −0.620161 | + | 0.246719i | ||||
\(335\) | −12.7139 | + | 0.954218i | −0.694635 | + | 0.0521345i | ||||
\(336\) | −3.25672 | + | 12.8951i | −0.177669 | + | 0.703486i | ||||
\(337\) | 1.69858 | + | 1.69858i | 0.0925273 | + | 0.0925273i | 0.751855 | − | 0.659328i | \(-0.229159\pi\) |
−0.659328 | + | 0.751855i | \(0.729159\pi\) | |||||||
\(338\) | −5.73577 | + | 13.3146i | −0.311985 | + | 0.724218i | ||||
\(339\) | 18.3513 | − | 10.5951i | 0.996703 | − | 0.575447i | ||||
\(340\) | 22.7484 | + | 20.7136i | 1.23371 | + | 1.12335i | ||||
\(341\) | −1.17067 | + | 2.02767i | −0.0633956 | + | 0.109804i | ||||
\(342\) | −1.51551 | − | 12.9122i | −0.0819492 | − | 0.698211i | ||||
\(343\) | 18.1055 | − | 3.89736i | 0.977607 | − | 0.210438i | ||||
\(344\) | −3.27554 | + | 7.05093i | −0.176605 | + | 0.380161i | ||||
\(345\) | 0.362933 | + | 1.03683i | 0.0195397 | + | 0.0558210i | ||||
\(346\) | 1.66298 | − | 11.3912i | 0.0894022 | − | 0.612395i | ||||
\(347\) | 9.50618 | + | 2.54717i | 0.510318 | + | 0.136739i | 0.504785 | − | 0.863245i | \(-0.331572\pi\) |
0.00553365 | + | 0.999985i | \(0.498239\pi\) | |||||||
\(348\) | 1.01028 | + | 1.86938i | 0.0541568 | + | 0.100209i | ||||
\(349\) | − | 19.6587i | − | 1.05230i | −0.850390 | − | 0.526152i | \(-0.823634\pi\) | ||
0.850390 | − | 0.526152i | \(-0.176366\pi\) | |||||||
\(350\) | −17.6539 | + | 6.19195i | −0.943640 | + | 0.330973i | ||||
\(351\) | 26.7886 | 1.42987 | ||||||||
\(352\) | −0.409859 | − | 6.75739i | −0.0218456 | − | 0.360170i | ||||
\(353\) | −2.20907 | + | 8.24438i | −0.117577 | + | 0.438804i | −0.999467 | − | 0.0326520i | \(-0.989605\pi\) |
0.881890 | + | 0.471456i | \(0.156271\pi\) | |||||||
\(354\) | 9.45061 | + | 1.37967i | 0.502294 | + | 0.0733289i | ||||
\(355\) | −19.4321 | + | 6.80206i | −1.03135 | + | 0.361016i | ||||
\(356\) | −5.98739 | + | 1.42511i | −0.317331 | + | 0.0755309i | ||||
\(357\) | 20.5679 | + | 10.0097i | 1.08857 | + | 0.529771i | ||||
\(358\) | 0.677375 | + | 5.77127i | 0.0358004 | + | 0.305021i | ||||
\(359\) | −23.4786 | − | 13.5554i | −1.23915 | − | 0.715425i | −0.270232 | − | 0.962795i | \(-0.587100\pi\) |
−0.968921 | + | 0.247370i | \(0.920434\pi\) | |||||||
\(360\) | 1.46354 | + | 8.86480i | 0.0771355 | + | 0.467216i | ||||
\(361\) | 11.4375 | + | 19.8103i | 0.601973 | + | 1.04265i | ||||
\(362\) | −18.8743 | − | 8.13083i | −0.992011 | − | 0.427347i | ||||
\(363\) | −8.50238 | + | 8.50238i | −0.446259 | + | 0.446259i | ||||
\(364\) | −25.4923 | + | 1.08525i | −1.33616 | + | 0.0568827i | ||||
\(365\) | 1.42770 | + | 19.0226i | 0.0747294 | + | 0.995688i | ||||
\(366\) | 7.95736 | − | 3.16568i | 0.415938 | − | 0.165473i | ||||
\(367\) | 30.9437 | + | 8.29134i | 1.61525 | + | 0.432805i | 0.949601 | − | 0.313461i | \(-0.101489\pi\) |
0.665648 | + | 0.746266i | \(0.268155\pi\) | |||||||
\(368\) | −1.53073 | + | 0.319138i | −0.0797948 | + | 0.0166362i | ||||
\(369\) | −6.51618 | + | 11.2863i | −0.339219 | + | 0.587544i | ||||
\(370\) | −4.95631 | − | 25.5305i | −0.257666 | − | 1.32727i | ||||
\(371\) | −1.42133 | + | 7.34586i | −0.0737916 | + | 0.381378i | ||||
\(372\) | −4.18778 | − | 2.57751i | −0.217126 | − | 0.133638i | ||||
\(373\) | −10.4848 | + | 2.80939i | −0.542881 | + | 0.145464i | −0.519830 | − | 0.854270i | \(-0.674005\pi\) |
−0.0230509 | + | 0.999734i | \(0.507338\pi\) | |||||||
\(374\) | −11.5211 | − | 1.68193i | −0.595740 | − | 0.0869708i | ||||
\(375\) | 10.2967 | − | 9.56039i | 0.531717 | − | 0.493696i | ||||
\(376\) | 14.5491 | − | 10.2186i | 0.750311 | − | 0.526986i | ||||
\(377\) | −2.88255 | + | 2.88255i | −0.148459 | + | 0.148459i | ||||
\(378\) | 9.02867 | + | 18.7238i | 0.464385 | + | 0.963047i | ||||
\(379\) | 16.2037 | 0.832328 | 0.416164 | − | 0.909289i | \(-0.363374\pi\) | ||||
0.416164 | + | 0.909289i | \(0.363374\pi\) | |||||||
\(380\) | −15.6261 | − | 24.3583i | −0.801600 | − | 1.24955i | ||||
\(381\) | −7.81856 | − | 13.5422i | −0.400557 | − | 0.693785i | ||||
\(382\) | −4.20760 | + | 3.13559i | −0.215280 | + | 0.160431i | ||||
\(383\) | −9.59034 | + | 2.56972i | −0.490043 | + | 0.131307i | −0.495375 | − | 0.868679i | \(-0.664969\pi\) |
0.00533195 | + | 0.999986i | \(0.498303\pi\) | |||||||
\(384\) | 14.2108 | − | 0.461319i | 0.725193 | − | 0.0235416i | ||||
\(385\) | 4.22709 | − | 5.67966i | 0.215432 | − | 0.289462i | ||||
\(386\) | 16.7162 | + | 13.2045i | 0.850835 | + | 0.672089i | ||||
\(387\) | 1.01067 | + | 3.77187i | 0.0513752 | + | 0.191735i | ||||
\(388\) | −21.7105 | − | 0.610838i | −1.10218 | − | 0.0310106i | ||||
\(389\) | 7.29304 | + | 12.6319i | 0.369772 | + | 0.640464i | 0.989530 | − | 0.144330i | \(-0.0461025\pi\) |
−0.619758 | + | 0.784793i | \(0.712769\pi\) | |||||||
\(390\) | 17.2257 | − | 8.39646i | 0.872257 | − | 0.425171i | ||||
\(391\) | 2.68926i | 0.136002i | ||||||||
\(392\) | −9.35031 | − | 17.4520i | −0.472262 | − | 0.881458i | ||||
\(393\) | 7.40965 | − | 7.40965i | 0.373767 | − | 0.373767i | ||||
\(394\) | 18.3387 | − | 7.29570i | 0.923890 | − | 0.367552i | ||||
\(395\) | −28.4862 | − | 5.38655i | −1.43329 | − | 0.271027i | ||||
\(396\) | −2.33576 | − | 2.47100i | −0.117376 | − | 0.124173i | ||||
\(397\) | −16.3399 | + | 4.37826i | −0.820076 | + | 0.219739i | −0.644380 | − | 0.764706i | \(-0.722884\pi\) |
−0.175696 | + | 0.984444i | \(0.556218\pi\) | |||||||
\(398\) | −0.742864 | − | 6.32924i | −0.0372364 | − | 0.317256i | ||||
\(399\) | −16.2508 | − | 14.1020i | −0.813556 | − | 0.705985i | ||||
\(400\) | 11.5746 | + | 16.3104i | 0.578728 | + | 0.815521i | ||||
\(401\) | 7.21196 | − | 12.4915i | 0.360148 | − | 0.623795i | −0.627837 | − | 0.778345i | \(-0.716060\pi\) |
0.987985 | + | 0.154550i | \(0.0493929\pi\) | |||||||
\(402\) | 6.05539 | + | 8.12565i | 0.302015 | + | 0.405270i | ||||
\(403\) | 2.44166 | − | 9.11238i | 0.121628 | − | 0.453920i | ||||
\(404\) | 0.457229 | − | 1.53261i | 0.0227480 | − | 0.0762502i | ||||
\(405\) | −4.61046 | − | 3.96671i | −0.229095 | − | 0.197108i | ||||
\(406\) | −2.98627 | − | 1.04323i | −0.148206 | − | 0.0517746i | ||||
\(407\) | 6.95950 | + | 6.95950i | 0.344970 | + | 0.344970i | ||||
\(408\) | 4.21163 | − | 24.0882i | 0.208507 | − | 1.19255i | ||||
\(409\) | −2.33119 | − | 4.03774i | −0.115270 | − | 0.199653i | 0.802618 | − | 0.596494i | \(-0.203440\pi\) |
−0.917888 | + | 0.396840i | \(0.870107\pi\) | |||||||
\(410\) | −2.03051 | + | 28.9386i | −0.100280 | + | 1.42918i | ||||
\(411\) | −6.70542 | + | 11.6141i | −0.330754 | + | 0.572883i | ||||
\(412\) | 23.0393 | + | 14.1803i | 1.13507 | + | 0.698615i | ||||
\(413\) | −11.7802 | + | 7.96060i | −0.579665 | + | 0.391715i | ||||
\(414\) | −0.486815 | + | 0.616286i | −0.0239257 | + | 0.0302888i | ||||
\(415\) | −3.91924 | + | 8.14073i | −0.192388 | + | 0.399613i | ||||
\(416\) | 8.64203 | + | 25.8719i | 0.423710 | + | 1.26848i | ||||
\(417\) | −3.48201 | + | 12.9951i | −0.170515 | + | 0.636371i | ||||
\(418\) | 10.0584 | + | 4.33304i | 0.491972 | + | 0.211936i | ||||
\(419\) | 31.8445i | 1.55570i | 0.628447 | + | 0.777852i | \(0.283691\pi\) | ||||
−0.628447 | + | 0.777852i | \(0.716309\pi\) | |||||||
\(420\) | 11.6743 | + | 9.20994i | 0.569649 | + | 0.449399i | ||||
\(421\) | − | 35.7142i | − | 1.74060i | −0.492520 | − | 0.870301i | \(-0.663924\pi\) | ||
0.492520 | − | 0.870301i | \(-0.336076\pi\) | |||||||
\(422\) | −2.39605 | + | 5.56201i | −0.116638 | + | 0.270754i | ||||
\(423\) | 2.31121 | − | 8.62555i | 0.112375 | − | 0.419389i | ||||
\(424\) | 7.96725 | − | 0.708614i | 0.386924 | − | 0.0344133i | ||||
\(425\) | 31.5243 | − | 13.7624i | 1.52915 | − | 0.667572i | ||||
\(426\) | 12.8411 | + | 10.1434i | 0.622155 | + | 0.491451i | ||||
\(427\) | −5.57878 | + | 11.4632i | −0.269976 | + | 0.554745i | ||||
\(428\) | 18.5040 | − | 30.0642i | 0.894427 | − | 1.45321i | ||||
\(429\) | −3.62608 | + | 6.28056i | −0.175069 | + | 0.303228i | ||||
\(430\) | 5.70109 | + | 6.56151i | 0.274931 | + | 0.316424i | ||||
\(431\) | −7.30236 | − | 12.6481i | −0.351742 | − | 0.609235i | 0.634813 | − | 0.772666i | \(-0.281077\pi\) |
−0.986555 | + | 0.163431i | \(0.947744\pi\) | |||||||
\(432\) | 16.5721 | − | 14.8051i | 0.797326 | − | 0.712309i | ||||
\(433\) | −0.628140 | − | 0.628140i | −0.0301865 | − | 0.0301865i | 0.691852 | − | 0.722039i | \(-0.256795\pi\) |
−0.722039 | + | 0.691852i | \(0.756795\pi\) | |||||||
\(434\) | 7.19199 | − | 1.36460i | 0.345226 | − | 0.0655028i | ||||
\(435\) | 2.36906 | − | 0.177805i | 0.113588 | − | 0.00852512i | ||||
\(436\) | 5.12440 | − | 17.1767i | 0.245414 | − | 0.822616i | ||||
\(437\) | 0.654714 | − | 2.44343i | 0.0313192 | − | 0.116885i | ||||
\(438\) | 12.1576 | − | 9.06009i | 0.580913 | − | 0.432908i | ||||
\(439\) | 4.61863 | − | 7.99969i | 0.220435 | − | 0.381805i | −0.734505 | − | 0.678603i | \(-0.762586\pi\) |
0.954940 | + | 0.296799i | \(0.0959190\pi\) | |||||||
\(440\) | −7.08374 | − | 2.66617i | −0.337704 | − | 0.127105i | ||||
\(441\) | −9.22665 | − | 3.70934i | −0.439364 | − | 0.176635i | ||||
\(442\) | 46.5932 | − | 5.46866i | 2.21621 | − | 0.260117i | ||||
\(443\) | 29.2504 | − | 7.83762i | 1.38973 | − | 0.372376i | 0.515083 | − | 0.857141i | \(-0.327761\pi\) |
0.874645 | + | 0.484764i | \(0.161095\pi\) | |||||||
\(444\) | −15.0220 | + | 14.1999i | −0.712914 | + | 0.673895i | ||||
\(445\) | −1.27852 | + | 6.76130i | −0.0606075 | + | 0.320516i | ||||
\(446\) | −11.9482 | − | 30.0334i | −0.565764 | − | 1.42212i | ||||
\(447\) | −5.93521 | + | 5.93521i | −0.280726 | + | 0.280726i | ||||
\(448\) | −15.1704 | + | 14.7600i | −0.716735 | + | 0.697346i | ||||
\(449\) | − | 26.4008i | − | 1.24593i | −0.782250 | − | 0.622965i | \(-0.785928\pi\) | ||
0.782250 | − | 0.622965i | \(-0.214072\pi\) | |||||||
\(450\) | 9.71555 | + | 2.55272i | 0.457996 | + | 0.120336i | ||||
\(451\) | −5.48928 | − | 9.50771i | −0.258480 | − | 0.447701i | ||||
\(452\) | 33.7093 | + | 0.948432i | 1.58555 | + | 0.0446105i | ||||
\(453\) | 4.52032 | + | 16.8701i | 0.212383 | + | 0.792625i | ||||
\(454\) | 0.875747 | − | 1.10866i | 0.0411008 | − | 0.0520318i | ||||
\(455\) | −10.5286 | + | 26.5131i | −0.493588 | + | 1.24295i | ||||
\(456\) | −9.69101 | + | 20.8609i | −0.453823 | + | 0.976900i | ||||
\(457\) | 5.68306 | − | 1.52277i | 0.265842 | − | 0.0712323i | −0.123436 | − | 0.992353i | \(-0.539391\pi\) |
0.389278 | + | 0.921120i | \(0.372725\pi\) | |||||||
\(458\) | −3.39944 | − | 4.56167i | −0.158845 | − | 0.213153i | ||||
\(459\) | −19.1096 | − | 33.0988i | −0.891961 | − | 1.54492i | ||||
\(460\) | −0.373001 | + | 1.70795i | −0.0173913 | + | 0.0796336i | ||||
\(461\) | −3.46791 | −0.161517 | −0.0807584 | − | 0.996734i | \(-0.525734\pi\) | ||||
−0.0807584 | + | 0.996734i | \(0.525734\pi\) | |||||||
\(462\) | −5.61188 | − | 0.417673i | −0.261088 | − | 0.0194319i | ||||
\(463\) | −24.3542 | + | 24.3542i | −1.13184 | + | 1.13184i | −0.141965 | + | 0.989872i | \(0.545342\pi\) |
−0.989872 | + | 0.141965i | \(0.954658\pi\) | |||||||
\(464\) | −0.190139 | + | 3.37630i | −0.00882698 | + | 0.156741i | ||||
\(465\) | −4.54219 | + | 3.09756i | −0.210639 | + | 0.143646i | ||||
\(466\) | −3.86168 | + | 26.4521i | −0.178889 | + | 1.22537i | ||||
\(467\) | 10.5468 | − | 2.82599i | 0.488045 | − | 0.130771i | −0.00640095 | − | 0.999980i | \(-0.502037\pi\) |
0.494446 | + | 0.869208i | \(0.335371\pi\) | |||||||
\(468\) | 11.6675 | + | 7.18116i | 0.539331 | + | 0.331949i | ||||
\(469\) | −14.8109 | − | 2.86572i | −0.683905 | − | 0.132327i | ||||
\(470\) | −3.78819 | − | 19.5133i | −0.174736 | − | 0.900083i | ||||
\(471\) | 1.34461 | − | 2.32894i | 0.0619566 | − | 0.107312i | ||||
\(472\) | 11.6575 | + | 9.75319i | 0.536579 | + | 0.448927i | ||||
\(473\) | −3.17745 | − | 0.851396i | −0.146099 | − | 0.0391472i | ||||
\(474\) | 8.51784 | + | 21.4107i | 0.391237 | + | 0.983426i | ||||
\(475\) | −31.9930 | + | 4.82954i | −1.46794 | + | 0.221595i | ||||
\(476\) | 19.5258 | + | 30.7230i | 0.894964 | + | 1.40819i | ||||
\(477\) | 2.84078 | − | 2.84078i | 0.130071 | − | 0.130071i | ||||
\(478\) | −3.29693 | + | 7.65324i | −0.150798 | + | 0.350051i | ||||
\(479\) | 0.0607594 | + | 0.105238i | 0.00277617 | + | 0.00480846i | 0.867410 | − | 0.497594i | \(-0.165783\pi\) |
−0.864634 | + | 0.502402i | \(0.832450\pi\) | |||||||
\(480\) | 6.01584 | − | 14.7143i | 0.274584 | − | 0.671612i | ||||
\(481\) | −34.3436 | − | 19.8283i | −1.56593 | − | 0.904092i | ||||
\(482\) | −19.9516 | + | 2.34173i | −0.908772 | + | 0.106663i | ||||
\(483\) | 0.0917846 | + | 1.29654i | 0.00417634 | + | 0.0589944i | ||||
\(484\) | −18.6156 | + | 4.43086i | −0.846162 | + | 0.201403i | ||||
\(485\) | −10.5334 | + | 21.8791i | −0.478297 | + | 0.993481i | ||||
\(486\) | 2.70654 | − | 18.5395i | 0.122771 | − | 0.840968i | ||||
\(487\) | −8.01105 | + | 29.8976i | −0.363015 | + | 1.35479i | 0.507076 | + | 0.861901i | \(0.330726\pi\) |
−0.870091 | + | 0.492890i | \(0.835940\pi\) | |||||||
\(488\) | 13.4252 | + | 2.34729i | 0.607732 | + | 0.106257i | ||||
\(489\) | 2.62606 | 0.118755 | ||||||||
\(490\) | −22.0797 | + | 1.57690i | −0.997459 | + | 0.0712369i | ||||
\(491\) | − | 34.3798i | − | 1.55154i | −0.631015 | − | 0.775770i | \(-0.717361\pi\) | ||
0.631015 | − | 0.775770i | \(-0.282639\pi\) | |||||||
\(492\) | 20.2850 | − | 10.9627i | 0.914517 | − | 0.494237i | ||||
\(493\) | 5.61782 | + | 1.50529i | 0.253014 | + | 0.0677949i | ||||
\(494\) | −43.6653 | − | 6.37460i | −1.96459 | − | 0.286807i | ||||
\(495\) | −3.58811 | + | 1.25599i | −0.161274 | + | 0.0564525i | ||||
\(496\) | −3.52561 | − | 6.98657i | −0.158305 | − | 0.313706i | ||||
\(497\) | −24.2995 | + | 1.72022i | −1.08998 | + | 0.0771623i | ||||
\(498\) | 7.13234 | − | 0.837124i | 0.319608 | − | 0.0375124i | ||||
\(499\) | 19.8323 | − | 34.3506i | 0.887816 | − | 1.53774i | 0.0453641 | − | 0.998971i | \(-0.485555\pi\) |
0.842452 | − | 0.538772i | \(-0.181111\pi\) | |||||||
\(500\) | 21.9299 | − | 4.36805i | 0.980735 | − | 0.195345i | ||||
\(501\) | 9.38731 | − | 5.41976i | 0.419394 | − | 0.242137i | ||||
\(502\) | −30.2332 | − | 13.0241i | −1.34937 | − | 0.581294i | ||||
\(503\) | 2.92828 | + | 2.92828i | 0.130566 | + | 0.130566i | 0.769370 | − | 0.638804i | \(-0.220570\pi\) |
−0.638804 | + | 0.769370i | \(0.720570\pi\) | |||||||
\(504\) | −1.08690 | + | 10.5753i | −0.0484142 | + | 0.471059i | ||||
\(505\) | −1.35549 | − | 1.16623i | −0.0603185 | − | 0.0518964i | ||||
\(506\) | −0.244561 | − | 0.614737i | −0.0108721 | − | 0.0273284i | ||||
\(507\) | 3.33440 | − | 12.4441i | 0.148086 | − | 0.552663i | ||||
\(508\) | 0.699888 | − | 24.8755i | 0.0310525 | − | 1.10367i | ||||
\(509\) | 5.58298 | + | 3.22334i | 0.247461 | + | 0.142872i | 0.618601 | − | 0.785705i | \(-0.287700\pi\) |
−0.371140 | + | 0.928577i | \(0.621033\pi\) | |||||||
\(510\) | −22.6623 | − | 15.2937i | −1.00350 | − | 0.677218i | ||||
\(511\) | −4.28770 | + | 22.1602i | −0.189677 | + | 0.980307i | ||||
\(512\) | 19.6446 | + | 11.2289i | 0.868179 | + | 0.496252i | ||||
\(513\) | 9.30465 | + | 34.7254i | 0.410810 | + | 1.53316i | ||||
\(514\) | −1.05771 | + | 7.24517i | −0.0466534 | + | 0.319571i | ||||
\(515\) | 24.9891 | − | 17.0414i | 1.10115 | − | 0.750935i | ||||
\(516\) | 1.97513 | − | 6.62053i | 0.0869502 | − | 0.291453i | ||||
\(517\) | 5.31925 | + | 5.31925i | 0.233941 | + | 0.233941i | ||||
\(518\) | 2.28394 | − | 30.6871i | 0.100350 | − | 1.34832i | ||||
\(519\) | 10.2300i | 0.449049i | ||||||||
\(520\) | 30.3499 | + | 2.98934i | 1.33093 | + | 0.131091i | ||||
\(521\) | −10.4597 | + | 6.03894i | −0.458250 | + | 0.264571i | −0.711308 | − | 0.702880i | \(-0.751897\pi\) |
0.253058 | + | 0.967451i | \(0.418564\pi\) | |||||||
\(522\) | 1.01492 | + | 1.36191i | 0.0444218 | + | 0.0596091i | ||||
\(523\) | −0.979314 | − | 3.65485i | −0.0428224 | − | 0.159815i | 0.941204 | − | 0.337840i | \(-0.109696\pi\) |
−0.984026 | + | 0.178024i | \(0.943029\pi\) | |||||||
\(524\) | 16.2231 | − | 3.86140i | 0.708709 | − | 0.168686i | ||||
\(525\) | 14.7286 | − | 7.71096i | 0.642810 | − | 0.336534i | ||||
\(526\) | 13.3154 | + | 10.5180i | 0.580578 | + | 0.458609i | ||||
\(527\) | −13.0006 | + | 3.48351i | −0.566316 | + | 0.151744i | ||||
\(528\) | 1.22785 | + | 5.88932i | 0.0534352 | + | 0.256300i | ||||
\(529\) | 19.7862 | − | 11.4236i | 0.860272 | − | 0.496678i | ||||
\(530\) | 2.91351 | − | 8.45491i | 0.126555 | − | 0.367258i | ||||
\(531\) | 7.63413 | 0.331293 | ||||||||
\(532\) | −10.2612 | − | 32.6681i | −0.444879 | − | 1.41634i | ||||
\(533\) | 31.2790 | + | 31.2790i | 1.35484 | + | 1.35484i | ||||
\(534\) | 5.08191 | − | 2.02174i | 0.219916 | − | 0.0874893i | ||||
\(535\) | −22.2375 | − | 32.6085i | −0.961411 | − | 1.40979i | ||||
\(536\) | 1.42873 | + | 16.0638i | 0.0617116 | + | 0.693850i | ||||
\(537\) | −1.33649 | − | 4.98786i | −0.0576739 | − | 0.215242i | ||||
\(538\) | −0.225575 | + | 0.0264757i | −0.00972521 | + | 0.00114145i | ||||
\(539\) | 6.59244 | − | 5.16888i | 0.283956 | − | 0.222640i | ||||
\(540\) | −7.54571 | − | 23.6716i | −0.324716 | − | 1.01866i | ||||
\(541\) | −13.3727 | − | 7.72075i | −0.574939 | − | 0.331941i | 0.184181 | − | 0.982892i | \(-0.441037\pi\) |
−0.759119 | + | 0.650951i | \(0.774370\pi\) | |||||||
\(542\) | 7.00900 | + | 9.40528i | 0.301062 | + | 0.403991i | ||||
\(543\) | 17.6404 | + | 4.72672i | 0.757021 | + | 0.202843i | ||||
\(544\) | 25.8014 | − | 29.1334i | 1.10623 | − | 1.24909i | ||||
\(545\) | −15.1917 | − | 13.0705i | −0.650739 | − | 0.559879i | ||||
\(546\) | 22.2767 | − | 4.22675i | 0.953354 | − | 0.180888i | ||||
\(547\) | −30.2381 | + | 30.2381i | −1.29289 | + | 1.29289i | −0.359893 | + | 0.932994i | \(0.617187\pi\) |
−0.932994 | + | 0.359893i | \(0.882813\pi\) | |||||||
\(548\) | −18.7759 | + | 10.1471i | −0.802065 | + | 0.433465i | ||||
\(549\) | 5.92823 | − | 3.42266i | 0.253011 | − | 0.146076i | ||||
\(550\) | −5.95456 | + | 6.01274i | −0.253903 | + | 0.256384i | ||||
\(551\) | −4.73780 | − | 2.73537i | −0.201837 | − | 0.116531i | ||||
\(552\) | 1.30504 | − | 0.477126i | 0.0555461 | − | 0.0203078i | ||||
\(553\) | −30.8439 | − | 15.0107i | −1.31162 | − | 0.638320i | ||||
\(554\) | −30.7802 | − | 24.3138i | −1.30773 | − | 1.03300i | ||||
\(555\) | 7.63556 | + | 21.8133i | 0.324112 | + | 0.925923i | ||||
\(556\) | −15.5591 | + | 14.7075i | −0.659853 | + | 0.623739i | ||||
\(557\) | −12.1644 | − | 3.25943i | −0.515420 | − | 0.138106i | −0.00827282 | − | 0.999966i | \(-0.502633\pi\) |
−0.507147 | + | 0.861859i | \(0.669300\pi\) | |||||||
\(558\) | −3.60988 | − | 1.55510i | −0.152819 | − | 0.0658324i | ||||
\(559\) | 13.2543 | 0.560598 | ||||||||
\(560\) | 8.13955 | + | 22.2204i | 0.343959 | + | 0.938985i | ||||
\(561\) | 10.3467 | 0.436836 | ||||||||
\(562\) | −13.0152 | − | 5.60680i | −0.549014 | − | 0.236509i | ||||
\(563\) | 36.5359 | + | 9.78976i | 1.53980 | + | 0.412589i | 0.926202 | − | 0.377026i | \(-0.123053\pi\) |
0.613602 | + | 0.789616i | \(0.289720\pi\) | |||||||
\(564\) | −11.4816 | + | 10.8532i | −0.483461 | + | 0.457001i | ||||
\(565\) | 16.3549 | − | 33.9712i | 0.688057 | − | 1.42918i | ||||
\(566\) | −14.8151 | − | 11.7027i | −0.622725 | − | 0.491901i | ||||
\(567\) | −4.02929 | − | 5.96258i | −0.169214 | − | 0.250405i | ||||
\(568\) | 8.94225 | + | 24.4589i | 0.375208 | + | 1.02627i | ||||
\(569\) | 6.18069 | + | 3.56843i | 0.259108 | + | 0.149596i | 0.623928 | − | 0.781482i | \(-0.285536\pi\) |
−0.364819 | + | 0.931078i | \(0.618869\pi\) | |||||||
\(570\) | 16.8673 | + | 19.4129i | 0.706492 | + | 0.813116i | ||||
\(571\) | 8.71805 | − | 5.03337i | 0.364839 | − | 0.210640i | −0.306362 | − | 0.951915i | \(-0.599112\pi\) |
0.671201 | + | 0.741275i | \(0.265779\pi\) | |||||||
\(572\) | −10.1534 | + | 5.48726i | −0.424535 | + | 0.229434i | ||||
\(573\) | 3.29733 | − | 3.29733i | 0.137748 | − | 0.137748i | ||||
\(574\) | −11.3202 | + | 32.4044i | −0.472497 | + | 1.35253i | ||||
\(575\) | 1.57289 | + | 1.16030i | 0.0655941 | + | 0.0483878i | ||||
\(576\) | 11.1866 | − | 2.00575i | 0.466108 | − | 0.0835731i | ||||
\(577\) | −19.7488 | − | 5.29167i | −0.822152 | − | 0.220295i | −0.176865 | − | 0.984235i | \(-0.556596\pi\) |
−0.645287 | + | 0.763940i | \(0.723262\pi\) | |||||||
\(578\) | −25.6282 | − | 34.3901i | −1.06599 | − | 1.43044i | ||||
\(579\) | −16.3941 | − | 9.46511i | −0.681314 | − | 0.393357i | ||||
\(580\) | 3.35909 | + | 1.73520i | 0.139479 | + | 0.0720504i | ||||
\(581\) | −7.00658 | + | 8.07418i | −0.290682 | + | 0.334974i | ||||
\(582\) | 19.1690 | − | 2.24987i | 0.794580 | − | 0.0932599i | ||||
\(583\) | 0.875935 | + | 3.26903i | 0.0362775 | + | 0.135390i | ||||
\(584\) | 24.0347 | − | 2.13767i | 0.994563 | − | 0.0884573i | ||||
\(585\) | 12.6549 | − | 8.63006i | 0.523216 | − | 0.356809i | ||||
\(586\) | −41.4880 | + | 16.5052i | −1.71385 | + | 0.681824i | ||||
\(587\) | −33.1414 | − | 33.1414i | −1.36789 | − | 1.36789i | −0.863442 | − | 0.504448i | \(-0.831696\pi\) |
−0.504448 | − | 0.863442i | \(-0.668304\pi\) | |||||||
\(588\) | 10.4623 | + | 14.1456i | 0.431457 | + | 0.583356i | ||||
\(589\) | 12.6602 | 0.521656 | ||||||||
\(590\) | 15.2754 | − | 7.44580i | 0.628877 | − | 0.306539i | ||||
\(591\) | −15.1891 | + | 8.76943i | −0.624796 | + | 0.360726i | ||||
\(592\) | −32.2042 | + | 6.71417i | −1.32358 | + | 0.275951i | ||||
\(593\) | 17.1891 | − | 4.60580i | 0.705871 | − | 0.189138i | 0.112012 | − | 0.993707i | \(-0.464270\pi\) |
0.593859 | + | 0.804569i | \(0.297604\pi\) | |||||||
\(594\) | 7.37826 | + | 5.82821i | 0.302733 | + | 0.239134i | ||||
\(595\) | 40.2690 | − | 5.90441i | 1.65087 | − | 0.242057i | ||||
\(596\) | −12.9949 | + | 3.09303i | −0.532291 | + | 0.126695i | ||||
\(597\) | 1.46571 | + | 5.47009i | 0.0599873 | + | 0.223876i | ||||
\(598\) | 1.59289 | + | 2.13748i | 0.0651381 | + | 0.0874080i | ||||
\(599\) | −25.9248 | + | 14.9677i | −1.05926 | + | 0.611564i | −0.925227 | − | 0.379413i | \(-0.876126\pi\) |
−0.134032 | + | 0.990977i | \(0.542793\pi\) | |||||||
\(600\) | −12.2716 | − | 12.8563i | −0.500984 | − | 0.524856i | ||||
\(601\) | 40.8962i | 1.66819i | 0.551621 | + | 0.834095i | \(0.314010\pi\) | ||||
−0.551621 | + | 0.834095i | \(0.685990\pi\) | |||||||
\(602\) | 4.46716 | + | 9.26406i | 0.182068 | + | 0.377575i | ||||
\(603\) | 5.72767 | + | 5.72767i | 0.233249 | + | 0.233249i | ||||
\(604\) | −7.94600 | + | 26.6346i | −0.323318 | + | 1.08375i | ||||
\(605\) | −3.97507 | + | 21.0217i | −0.161610 | + | 0.854655i | ||||
\(606\) | −0.205311 | + | 1.40635i | −0.00834017 | + | 0.0571292i | ||||
\(607\) | 1.49261 | + | 5.57049i | 0.0605831 | + | 0.226099i | 0.989579 | − | 0.143991i | \(-0.0459936\pi\) |
−0.928996 | + | 0.370090i | \(0.879327\pi\) | |||||||
\(608\) | −30.5355 | + | 20.1887i | −1.23838 | + | 0.818761i | ||||
\(609\) | 2.75981 | + | 0.533988i | 0.111833 | + | 0.0216383i | ||||
\(610\) | 8.52375 | − | 12.6305i | 0.345117 | − | 0.511394i | ||||
\(611\) | −26.2494 | − | 15.1551i | −1.06194 | − | 0.613109i | ||||
\(612\) | 0.549729 | − | 19.5385i | 0.0222215 | − | 0.789799i | ||||
\(613\) | −1.29375 | + | 4.82833i | −0.0522540 | + | 0.195015i | −0.987119 | − | 0.159990i | \(-0.948854\pi\) |
0.934865 | + | 0.355004i | \(0.115521\pi\) | |||||||
\(614\) | 4.29535 | + | 10.7969i | 0.173346 | + | 0.435728i | ||||
\(615\) | −1.92939 | − | 25.7071i | −0.0778006 | − | 1.03661i | ||||
\(616\) | −7.25734 | − | 5.24728i | −0.292407 | − | 0.211419i | ||||
\(617\) | 22.8412 | + | 22.8412i | 0.919550 | + | 0.919550i | 0.996997 | − | 0.0774463i | \(-0.0246766\pi\) |
−0.0774463 | + | 0.996997i | \(0.524677\pi\) | |||||||
\(618\) | −22.0794 | − | 9.51154i | −0.888163 | − | 0.382610i | ||||
\(619\) | 4.70413 | − | 2.71593i | 0.189075 | − | 0.109163i | −0.402474 | − | 0.915431i | \(-0.631850\pi\) |
0.591550 | + | 0.806269i | \(0.298516\pi\) | |||||||
\(620\) | −8.73986 | + | 0.409187i | −0.351001 | + | 0.0164334i | ||||
\(621\) | 1.08586 | − | 1.88077i | 0.0435741 | − | 0.0754726i | ||||
\(622\) | 20.0017 | − | 2.34760i | 0.801995 | − | 0.0941303i | ||||
\(623\) | −3.56285 | + | 7.32091i | −0.142742 | + | 0.293306i | ||||
\(624\) | −10.9203 | − | 21.6404i | −0.437163 | − | 0.866310i | ||||
\(625\) | 5.55203 | − | 24.3757i | 0.222081 | − | 0.975028i | ||||
\(626\) | −16.5634 | − | 2.41806i | −0.662008 | − | 0.0966451i | ||||
\(627\) | −9.40081 | − | 2.51894i | −0.375432 | − | 0.100597i | ||||
\(628\) | 3.76506 | − | 2.03477i | 0.150242 | − | 0.0811962i | ||||
\(629\) | 56.5780i | 2.25591i | ||||||||
\(630\) | 10.2971 | + | 5.93647i | 0.410246 | + | 0.236515i | ||||
\(631\) | −20.0028 | −0.796299 | −0.398150 | − | 0.917320i | \(-0.630348\pi\) | ||||
−0.398150 | + | 0.917320i | \(0.630348\pi\) | |||||||
\(632\) | −6.31581 | + | 36.1230i | −0.251229 | + | 1.43690i | ||||
\(633\) | 1.39290 | − | 5.19839i | 0.0553629 | − | 0.206617i | ||||
\(634\) | 0.189212 | − | 1.29608i | 0.00751456 | − | 0.0514739i | ||||
\(635\) | −25.0687 | − | 12.0690i | −0.994822 | − | 0.478943i | ||||
\(636\) | −6.91483 | + | 1.64586i | −0.274191 | + | 0.0652627i | ||||
\(637\) | −20.2670 | + | 26.9918i | −0.803009 | + | 1.06946i | ||||
\(638\) | −1.42106 | + | 0.166791i | −0.0562605 | + | 0.00660330i | ||||
\(639\) | 11.3277 | + | 6.54008i | 0.448119 | + | 0.258721i | ||||
\(640\) | 20.4273 | − | 14.9240i | 0.807460 | − | 0.589922i | ||||
\(641\) | 0.897404 | + | 1.55435i | 0.0354453 | + | 0.0613931i | 0.883204 | − | 0.468989i | \(-0.155382\pi\) |
−0.847759 | + | 0.530382i | \(0.822048\pi\) | |||||||
\(642\) | −12.4117 | + | 28.8116i | −0.489850 | + | 1.13710i | ||||
\(643\) | −15.7410 | + | 15.7410i | −0.620765 | + | 0.620765i | −0.945727 | − | 0.324962i | \(-0.894648\pi\) |
0.324962 | + | 0.945727i | \(0.394648\pi\) | |||||||
\(644\) | −0.957124 | + | 1.83375i | −0.0377160 | + | 0.0722598i | ||||
\(645\) | −5.85541 | − | 5.03784i | −0.230557 | − | 0.198365i | ||||
\(646\) | 23.2724 | + | 58.4983i | 0.915641 | + | 2.30158i | ||||
\(647\) | −31.2692 | − | 8.37855i | −1.22932 | − | 0.329395i | −0.415004 | − | 0.909820i | \(-0.636220\pi\) |
−0.814314 | + | 0.580425i | \(0.802887\pi\) | |||||||
\(648\) | −4.93662 | + | 5.90048i | −0.193929 | + | 0.231793i | ||||
\(649\) | −3.21553 | + | 5.56946i | −0.126221 | + | 0.218620i | ||||
\(650\) | 16.9044 | − | 29.6109i | 0.663047 | − | 1.16143i | ||||
\(651\) | −6.14891 | + | 2.12316i | −0.240995 | + | 0.0832133i | ||||
\(652\) | 3.55908 | + | 2.19056i | 0.139385 | + | 0.0857889i | ||||
\(653\) | −18.4209 | + | 4.93587i | −0.720866 | + | 0.193155i | −0.600558 | − | 0.799581i | \(-0.705055\pi\) |
−0.120308 | + | 0.992737i | \(0.538388\pi\) | |||||||
\(654\) | −2.30102 | + | 15.7617i | −0.0899770 | + | 0.616332i | ||||
\(655\) | 3.46419 | − | 18.3200i | 0.135357 | − | 0.715822i | ||||
\(656\) | 36.6367 | + | 2.06323i | 1.43042 | + | 0.0805554i | ||||
\(657\) | 8.56975 | − | 8.56975i | 0.334338 | − | 0.334338i | ||||
\(658\) | 1.74565 | − | 23.4547i | 0.0680525 | − | 0.914358i | ||||
\(659\) | −2.39538 | −0.0933107 | −0.0466554 | − | 0.998911i | \(-0.514856\pi\) | ||||
−0.0466554 | + | 0.998911i | \(0.514856\pi\) | |||||||
\(660\) | 6.57116 | + | 1.43508i | 0.255782 | + | 0.0558605i | ||||
\(661\) | −8.98443 | − | 15.5615i | −0.349454 | − | 0.605272i | 0.636699 | − | 0.771113i | \(-0.280299\pi\) |
−0.986153 | + | 0.165841i | \(0.946966\pi\) | |||||||
\(662\) | −12.4300 | − | 16.6797i | −0.483106 | − | 0.648274i | ||||
\(663\) | −40.2685 | + | 10.7899i | −1.56390 | + | 0.419046i | ||||
\(664\) | 10.3647 | + | 4.81497i | 0.402228 | + | 0.186857i | ||||
\(665\) | −38.0253 | − | 4.43901i | −1.47456 | − | 0.172138i | ||||
\(666\) | −10.2418 | + | 12.9657i | −0.396863 | + | 0.502411i | ||||
\(667\) | 0.0855348 | + | 0.319220i | 0.00331192 | + | 0.0123603i | ||||
\(668\) | 17.2435 | + | 0.485156i | 0.667171 | + | 0.0187713i | ||||
\(669\) | 14.3617 | + | 24.8753i | 0.555257 | + | 0.961733i | ||||
\(670\) | 17.0470 | + | 5.87430i | 0.658584 | + | 0.226944i | ||||
\(671\) | 5.76656i | 0.222616i | ||||||||
\(672\) | 11.4449 | − | 14.9263i | 0.441498 | − | 0.575794i | ||||
\(673\) | −15.1382 | + | 15.1382i | −0.583535 | + | 0.583535i | −0.935873 | − | 0.352338i | \(-0.885387\pi\) |
0.352338 | + | 0.935873i | \(0.385387\pi\) | |||||||
\(674\) | −1.25577 | − | 3.15653i | −0.0483703 | − | 0.121585i | ||||
\(675\) | −27.6037 | − | 3.10389i | −1.06247 | − | 0.119469i | ||||
\(676\) | 14.8995 | − | 14.0840i | 0.573057 | − | 0.541693i | ||||
\(677\) | 28.7703 | − | 7.70899i | 1.10573 | − | 0.296280i | 0.340636 | − | 0.940195i | \(-0.389357\pi\) |
0.765097 | + | 0.643915i | \(0.222691\pi\) | |||||||
\(678\) | −29.7632 | + | 3.49331i | −1.14305 | + | 0.134160i | ||||
\(679\) | −18.8310 | + | 21.7003i | −0.722667 | + | 0.832781i | ||||
\(680\) | −17.9566 | − | 39.6314i | −0.688602 | − | 1.51980i | ||||
\(681\) | −0.627746 | + | 1.08729i | −0.0240553 | + | 0.0416650i | ||||
\(682\) | 2.65501 | − | 1.97857i | 0.101666 | − | 0.0757632i | ||||
\(683\) | −12.2873 | + | 45.8567i | −0.470159 | + | 1.75466i | 0.169034 | + | 0.985610i | \(0.445935\pi\) |
−0.639193 | + | 0.769046i | \(0.720732\pi\) | |||||||
\(684\) | −5.25622 | + | 17.6186i | −0.200977 | + | 0.673664i | ||||
\(685\) | 1.78586 | + | 23.7946i | 0.0682340 | + | 0.909145i | ||||
\(686\) | −25.6965 | − | 5.06839i | −0.981098 | − | 0.193512i | ||||
\(687\) | 3.57479 | + | 3.57479i | 0.136387 | + | 0.136387i | ||||
\(688\) | 8.19946 | − | 7.32518i | 0.312602 | − | 0.279270i | ||||
\(689\) | −6.81817 | − | 11.8094i | −0.259752 | − | 0.449903i | ||||
\(690\) | 0.108738 | − | 1.54972i | 0.00413959 | − | 0.0589970i | ||||
\(691\) | 9.12300 | − | 15.8015i | 0.347055 | − | 0.601118i | −0.638670 | − | 0.769481i | \(-0.720515\pi\) |
0.985725 | + | 0.168364i | \(0.0538483\pi\) | |||||||
\(692\) | −8.53349 | + | 13.8647i | −0.324395 | + | 0.527056i | ||||
\(693\) | −4.48687 | + | 0.317635i | −0.170442 | + | 0.0120660i | ||||
\(694\) | −10.9216 | − | 8.62720i | −0.414580 | − | 0.327484i | ||||
\(695\) | 7.90856 | + | 22.5932i | 0.299989 | + | 0.857008i | ||||
\(696\) | −0.266224 | − | 2.99327i | −0.0100912 | − | 0.113460i | ||||
\(697\) | 16.3341 | − | 60.9598i | 0.618699 | − | 2.30902i | ||||
\(698\) | −10.9994 | + | 25.5331i | −0.416332 | + | 0.966443i | ||||
\(699\) | − | 23.7557i | − | 0.898521i | ||||||
\(700\) | 26.3938 | + | 1.83542i | 0.997591 | + | 0.0693724i | ||||
\(701\) | − | 8.66262i | − | 0.327183i | −0.986528 | − | 0.163591i | \(-0.947692\pi\) | ||
0.986528 | − | 0.163591i | \(-0.0523079\pi\) | |||||||
\(702\) | −34.7936 | − | 14.9887i | −1.31320 | − | 0.565711i | ||||
\(703\) | 13.7742 | − | 51.4059i | 0.519503 | − | 1.93881i | ||||
\(704\) | −3.24854 | + | 9.00597i | −0.122434 | + | 0.339425i | ||||
\(705\) | 5.83598 | + | 16.6722i | 0.219796 | + | 0.627913i | ||||
\(706\) | 7.48207 | − | 9.47197i | 0.281591 | − | 0.356482i | ||||
\(707\) | −1.18462 | − | 1.75302i | −0.0445524 | − | 0.0659291i | ||||
\(708\) | −11.5027 | − | 7.07974i | −0.432299 | − | 0.266073i | ||||
\(709\) | 16.4006 | − | 28.4067i | 0.615937 | − | 1.06683i | −0.374282 | − | 0.927315i | \(-0.622111\pi\) |
0.990219 | − | 0.139520i | \(-0.0445559\pi\) | |||||||
\(710\) | 29.0448 | + | 2.03796i | 1.09003 | + | 0.0764831i | ||||
\(711\) | 9.20929 | + | 15.9510i | 0.345375 | + | 0.598208i | ||||
\(712\) | 8.57393 | + | 1.49908i | 0.321322 | + | 0.0561804i | ||||
\(713\) | −0.540789 | − | 0.540789i | −0.0202527 | − | 0.0202527i | ||||
\(714\) | −21.1134 | − | 24.5090i | −0.790151 | − | 0.917225i | ||||
\(715\) | 0.965735 | + | 12.8674i | 0.0361164 | + | 0.481212i | ||||
\(716\) | 2.34934 | − | 7.87486i | 0.0877988 | − | 0.294297i | ||||
\(717\) | 1.91662 | − | 7.15291i | 0.0715773 | − | 0.267130i | ||||
\(718\) | 22.9101 | + | 30.7427i | 0.854996 | + | 1.14731i | ||||
\(719\) | 5.31567 | − | 9.20700i | 0.198241 | − | 0.343363i | −0.749717 | − | 0.661758i | \(-0.769811\pi\) |
0.947958 | + | 0.318395i | \(0.103144\pi\) | |||||||
\(720\) | 3.05913 | − | 12.3327i | 0.114007 | − | 0.459612i | ||||
\(721\) | 33.8286 | − | 11.6807i | 1.25984 | − | 0.435013i | ||||
\(722\) | −3.77105 | − | 32.1296i | −0.140344 | − | 1.19574i | ||||
\(723\) | 17.2433 | − | 4.62034i | 0.641287 | − | 0.171832i | ||||
\(724\) | 19.9650 | + | 21.1210i | 0.741994 | + | 0.784956i | ||||
\(725\) | 3.30426 | − | 2.63627i | 0.122717 | − | 0.0979088i | ||||
\(726\) | 15.8003 | − | 6.28585i | 0.586404 | − | 0.233290i | ||||
\(727\) | −9.37189 | + | 9.37189i | −0.347584 | + | 0.347584i | −0.859209 | − | 0.511625i | \(-0.829044\pi\) |
0.511625 | + | 0.859209i | \(0.329044\pi\) | |||||||
\(728\) | 33.7172 | + | 12.8538i | 1.24964 | + | 0.476395i | ||||
\(729\) | 24.8095i | 0.918872i | ||||||||
\(730\) | 8.78915 | − | 25.5058i | 0.325301 | − | 0.944012i | ||||
\(731\) | −9.45496 | − | 16.3765i | −0.349704 | − | 0.605706i | ||||
\(732\) | −12.1065 | − | 0.340622i | −0.447468 | − | 0.0125898i | ||||
\(733\) | 4.99292 | + | 18.6338i | 0.184418 | + | 0.688256i | 0.994754 | + | 0.102292i | \(0.0326175\pi\) |
−0.810337 | + | 0.585964i | \(0.800716\pi\) | |||||||
\(734\) | −35.5512 | − | 28.0825i | −1.31222 | − | 1.03655i | ||||
\(735\) | 19.2128 | − | 4.22099i | 0.708674 | − | 0.155693i | ||||
\(736\) | 2.16671 | + | 0.441967i | 0.0798660 | + | 0.0162911i | ||||
\(737\) | −6.59112 | + | 1.76608i | −0.242787 | + | 0.0650546i | ||||
\(738\) | 14.7783 | − | 11.0130i | 0.543995 | − | 0.405396i | ||||
\(739\) | −6.27429 | − | 10.8674i | −0.230803 | − | 0.399763i | 0.727241 | − | 0.686382i | \(-0.240802\pi\) |
−0.958045 | + | 0.286619i | \(0.907469\pi\) | |||||||
\(740\) | −7.84737 | + | 35.9327i | −0.288475 | + | 1.32091i | ||||
\(741\) | 39.2142 | 1.44057 | ||||||||
\(742\) | 5.95619 | − | 8.74571i | 0.218659 | − | 0.321065i | ||||
\(743\) | 25.8943 | − | 25.8943i | 0.949972 | − | 0.949972i | −0.0488353 | − | 0.998807i | \(-0.515551\pi\) |
0.998807 | + | 0.0488353i | \(0.0155509\pi\) | |||||||
\(744\) | 3.99702 | + | 5.69087i | 0.146538 | + | 0.208637i | ||||
\(745\) | −2.77486 | + | 14.6745i | −0.101663 | + | 0.537633i | ||||
\(746\) | 15.1898 | + | 2.21752i | 0.556136 | + | 0.0811892i | ||||
\(747\) | 5.54456 | − | 1.48566i | 0.202865 | − | 0.0543575i | ||||
\(748\) | 14.0227 | + | 8.63077i | 0.512722 | + | 0.315572i | ||||
\(749\) | −15.2423 | − | 44.1432i | −0.556940 | − | 1.61296i | ||||
\(750\) | −18.7227 | + | 6.65608i | −0.683658 | + | 0.243046i | ||||
\(751\) | 22.8478 | − | 39.5736i | 0.833729 | − | 1.44406i | −0.0613315 | − | 0.998117i | \(-0.519535\pi\) |
0.895061 | − | 0.445944i | \(-0.147132\pi\) | |||||||
\(752\) | −24.6142 | + | 5.13175i | −0.897587 | + | 0.187135i | ||||
\(753\) | 28.2567 | + | 7.57135i | 1.02973 | + | 0.275915i | ||||
\(754\) | 5.35676 | − | 2.13108i | 0.195082 | − | 0.0776095i | ||||
\(755\) | 23.5565 | + | 20.2674i | 0.857308 | + | 0.737605i | ||||
\(756\) | −1.25036 | − | 29.3706i | −0.0454750 | − | 1.06820i | ||||
\(757\) | −26.0085 | + | 26.0085i | −0.945296 | + | 0.945296i | −0.998579 | − | 0.0532832i | \(-0.983031\pi\) |
0.0532832 | + | 0.998579i | \(0.483031\pi\) | |||||||
\(758\) | −21.0457 | − | 9.06626i | −0.764416 | − | 0.329301i | ||||
\(759\) | 0.293963 | + | 0.509158i | 0.0106702 | + | 0.0184813i | ||||
\(760\) | 6.66660 | + | 40.3801i | 0.241823 | + | 1.46474i | ||||
\(761\) | 17.7976 | + | 10.2755i | 0.645164 | + | 0.372486i | 0.786601 | − | 0.617462i | \(-0.211839\pi\) |
−0.141437 | + | 0.989947i | \(0.545172\pi\) | |||||||
\(762\) | 2.57786 | + | 21.9635i | 0.0933859 | + | 0.795653i | ||||
\(763\) | −13.2767 | − | 19.6470i | −0.480648 | − | 0.711269i | ||||
\(764\) | 7.21935 | − | 1.71834i | 0.261187 | − | 0.0621675i | ||||
\(765\) | −19.6903 | − | 9.47962i | −0.711904 | − | 0.342736i | ||||
\(766\) | 13.8940 | + | 2.02835i | 0.502009 | + | 0.0732872i | ||||
\(767\) | 6.70658 | − | 25.0293i | 0.242160 | − | 0.903755i | ||||
\(768\) | −18.7155 | − | 7.35204i | −0.675336 | − | 0.265294i | ||||
\(769\) | −1.71324 | −0.0617811 | −0.0308906 | − | 0.999523i | \(-0.509834\pi\) | ||||
−0.0308906 | + | 0.999523i | \(0.509834\pi\) | |||||||
\(770\) | −8.66811 | + | 5.01174i | −0.312377 | + | 0.180611i | ||||
\(771\) | − | 6.50663i | − | 0.234330i | ||||||
\(772\) | −14.3233 | − | 26.5033i | −0.515507 | − | 0.953874i | ||||
\(773\) | 30.4346 | + | 8.15493i | 1.09466 | + | 0.293312i | 0.760587 | − | 0.649236i | \(-0.224911\pi\) |
0.334070 | + | 0.942548i | \(0.391578\pi\) | |||||||
\(774\) | 0.797747 | − | 5.46448i | 0.0286744 | − | 0.196417i | ||||
\(775\) | −3.57177 | + | 9.10676i | −0.128302 | + | 0.327125i | ||||
\(776\) | 27.8563 | + | 12.9408i | 0.999984 | + | 0.464547i | ||||
\(777\) | 1.93101 | + | 27.2771i | 0.0692745 | + | 0.978561i | ||||
\(778\) | −2.40459 | − | 20.4872i | −0.0862086 | − | 0.734502i | ||||
\(779\) | −29.6819 | + | 51.4105i | −1.06346 | + | 1.84197i | ||||
\(780\) | −27.0711 | + | 1.26743i | −0.969301 | + | 0.0453813i | ||||
\(781\) | −9.54259 | + | 5.50942i | −0.341461 | + | 0.197142i | ||||
\(782\) | 1.50469 | − | 3.49288i | 0.0538076 | − | 0.124905i | ||||
\(783\) | −3.32109 | − | 3.32109i | −0.118686 | − | 0.118686i | ||||
\(784\) | 2.37971 | + | 27.8987i | 0.0849895 | + | 0.996382i | ||||
\(785\) | −0.358111 | − | 4.77144i | −0.0127815 | − | 0.170300i | ||||
\(786\) | −13.7696 | + | 5.47799i | −0.491147 | + | 0.195393i | ||||
\(787\) | −12.2101 | + | 45.5688i | −0.435244 | + | 1.62435i | 0.305237 | + | 0.952276i | \(0.401264\pi\) |
−0.740481 | + | 0.672077i | \(0.765402\pi\) | |||||||
\(788\) | −27.9008 | − | 0.785005i | −0.993924 | − | 0.0279646i | ||||
\(789\) | −13.0587 | − | 7.53947i | −0.464903 | − | 0.268412i | ||||
\(790\) | 33.9846 | + | 22.9347i | 1.20912 | + | 0.815979i | ||||
\(791\) | 29.2384 | − | 33.6935i | 1.03960 | − | 1.19800i | ||||
\(792\) | 1.65117 | + | 4.51629i | 0.0586718 | + | 0.160480i | ||||
\(793\) | −6.01361 | − | 22.4431i | −0.213550 | − | 0.796978i | ||||
\(794\) | 23.6723 | + | 3.45587i | 0.840100 | + | 0.122644i | ||||
\(795\) | −1.47656 | + | 7.80861i | −0.0523681 | + | 0.276943i | ||||
\(796\) | −2.57647 | + | 8.63620i | −0.0913206 | + | 0.306102i | ||||
\(797\) | −36.0661 | − | 36.0661i | −1.27753 | − | 1.27753i | −0.942048 | − | 0.335477i | \(-0.891103\pi\) |
−0.335477 | − | 0.942048i | \(-0.608897\pi\) | |||||||
\(798\) | 13.2165 | + | 27.4086i | 0.467860 | + | 0.970255i | ||||
\(799\) | 43.2434i | 1.52984i | ||||||||
\(800\) | −5.90732 | − | 27.6605i | −0.208855 | − | 0.977947i | ||||
\(801\) | 3.78602 | − | 2.18586i | 0.133772 | − | 0.0772336i | ||||
\(802\) | −16.3563 | + | 12.1890i | −0.577559 | + | 0.430408i | ||||
\(803\) | 2.64242 | + | 9.86165i | 0.0932490 | + | 0.348010i | ||||
\(804\) | −3.31843 | − | 13.9419i | −0.117032 | − | 0.491692i | ||||
\(805\) | 1.43465 | + | 1.81388i | 0.0505649 | + | 0.0639310i | ||||
\(806\) | −8.26982 | + | 10.4692i | −0.291292 | + | 0.368763i | ||||
\(807\) | 0.194954 | − | 0.0522379i | 0.00686272 | − | 0.00183886i | ||||
\(808\) | −1.45138 | + | 1.73476i | −0.0510594 | + | 0.0610286i | ||||
\(809\) | 6.88755 | − | 3.97653i | 0.242153 | − | 0.139807i | −0.374013 | − | 0.927424i | \(-0.622018\pi\) |
0.616166 | + | 0.787616i | \(0.288685\pi\) | |||||||
\(810\) | 3.76872 | + | 7.73169i | 0.132419 | + | 0.271664i | ||||
\(811\) | 8.31140 | 0.291853 | 0.145926 | − | 0.989295i | \(-0.453384\pi\) | ||||
0.145926 | + | 0.989295i | \(0.453384\pi\) | |||||||
\(812\) | 3.29492 | + | 3.02584i | 0.115629 | + | 0.106186i | ||||
\(813\) | −7.37054 | − | 7.37054i | −0.258496 | − | 0.258496i | ||||
\(814\) | −5.14519 | − | 12.9331i | −0.180339 | − | 0.453306i | ||||
\(815\) | 3.86028 | − | 2.63254i | 0.135220 | − | 0.0922137i | ||||
\(816\) | −18.9479 | + | 28.9299i | −0.663311 | + | 1.01275i | ||||
\(817\) | 4.60371 | + | 17.1813i | 0.161063 | + | 0.601097i | ||||
\(818\) | 0.768615 | + | 6.54864i | 0.0268740 | + | 0.228968i | ||||
\(819\) | 17.1314 | − | 5.91531i | 0.598618 | − | 0.206698i | ||||
\(820\) | 18.8289 | − | 36.4500i | 0.657535 | − | 1.27289i | ||||
\(821\) | 26.1686 | + | 15.1084i | 0.913289 | + | 0.527288i | 0.881488 | − | 0.472207i | \(-0.156542\pi\) |
0.0318010 | + | 0.999494i | \(0.489876\pi\) | |||||||
\(822\) | 15.2075 | − | 11.3329i | 0.530421 | − | 0.395280i | ||||
\(823\) | −11.0033 | − | 2.94833i | −0.383551 | − | 0.102772i | 0.0618911 | − | 0.998083i | \(-0.480287\pi\) |
−0.445442 | + | 0.895311i | \(0.646954\pi\) | |||||||
\(824\) | −21.9899 | − | 31.3087i | −0.766053 | − | 1.09069i | ||||
\(825\) | 4.46413 | − | 6.05153i | 0.155421 | − | 0.210687i | ||||
\(826\) | 19.7545 | − | 3.74819i | 0.687346 | − | 0.130416i | ||||
\(827\) | 9.75673 | − | 9.75673i | 0.339275 | − | 0.339275i | −0.516820 | − | 0.856094i | \(-0.672884\pi\) |
0.856094 | + | 0.516820i | \(0.172884\pi\) | |||||||
\(828\) | 0.977109 | − | 0.528065i | 0.0339569 | − | 0.0183515i | ||||
\(829\) | 7.84867 | − | 4.53143i | 0.272596 | − | 0.157383i | −0.357471 | − | 0.933924i | \(-0.616361\pi\) |
0.630067 | + | 0.776541i | \(0.283028\pi\) | |||||||
\(830\) | 9.64527 | − | 8.38048i | 0.334792 | − | 0.290891i | ||||
\(831\) | 30.1870 | + | 17.4284i | 1.04717 | + | 0.604586i | ||||
\(832\) | 3.25133 | − | 38.4384i | 0.112719 | − | 1.33261i | ||||
\(833\) | 47.8074 | + | 5.78646i | 1.65643 | + | 0.200489i | ||||
\(834\) | 11.7935 | − | 14.9300i | 0.408375 | − | 0.516984i | ||||
\(835\) | 8.36612 | − | 17.3774i | 0.289521 | − | 0.601371i | ||||
\(836\) | −10.6397 | − | 11.2557i | −0.367980 | − | 0.389286i | ||||
\(837\) | 10.4987 | + | 2.81312i | 0.362888 | + | 0.0972355i | ||||
\(838\) | 17.8175 | − | 41.3603i | 0.615497 | − | 1.42877i | ||||
\(839\) | 44.5496 | 1.53802 | 0.769012 | − | 0.639234i | \(-0.220749\pi\) | ||||
0.769012 | + | 0.639234i | \(0.220749\pi\) | |||||||
\(840\) | −10.0098 | − | 18.4941i | −0.345369 | − | 0.638106i | ||||
\(841\) | −28.2853 | −0.975354 | ||||||||
\(842\) | −19.9827 | + | 46.3864i | −0.688649 | + | 1.59858i | ||||
\(843\) | 12.1643 | + | 3.25942i | 0.418962 | + | 0.112260i | ||||
\(844\) | 6.22408 | − | 5.88343i | 0.214242 | − | 0.202516i | ||||
\(845\) | −7.57327 | − | 21.6354i | −0.260529 | − | 0.744279i | ||||
\(846\) | −7.82800 | + | 9.90990i | −0.269132 | + | 0.340709i | ||||
\(847\) | −11.0773 | + | 22.7616i | −0.380622 | + | 0.782099i | ||||
\(848\) | −10.7445 | − | 3.53745i | −0.368969 | − | 0.121477i | ||||
\(849\) | 14.5295 | + | 8.38864i | 0.498653 | + | 0.287897i | ||||
\(850\) | −48.6447 | + | 0.236480i | −1.66850 | + | 0.00811120i | ||||
\(851\) | −2.78420 | + | 1.60746i | −0.0954412 | + | 0.0551030i | ||||
\(852\) | −11.0029 | − | 20.3594i | −0.376954 | − | 0.697501i | ||||
\(853\) | 4.40214 | − | 4.40214i | 0.150726 | − | 0.150726i | −0.627716 | − | 0.778442i | \(-0.716010\pi\) |
0.778442 | + | 0.627716i | \(0.216010\pi\) | |||||||
\(854\) | 13.6597 | − | 11.7673i | 0.467426 | − | 0.402668i | ||||
\(855\) | 15.5825 | + | 13.4067i | 0.532909 | + | 0.458501i | ||||
\(856\) | −40.8549 | + | 28.6948i | −1.39639 | + | 0.980767i | ||||
\(857\) | 31.8634 | + | 8.53777i | 1.08843 | + | 0.291645i | 0.758046 | − | 0.652201i | \(-0.226154\pi\) |
0.330387 | + | 0.943846i | \(0.392821\pi\) | |||||||
\(858\) | 8.22372 | − | 6.12847i | 0.280753 | − | 0.209223i | ||||
\(859\) | 14.9024 | + | 8.60392i | 0.508464 | + | 0.293562i | 0.732202 | − | 0.681088i | \(-0.238493\pi\) |
−0.223738 | + | 0.974649i | \(0.571826\pi\) | |||||||
\(860\) | −3.73343 | − | 11.7121i | −0.127309 | − | 0.399379i | ||||
\(861\) | 5.79438 | − | 29.9471i | 0.197472 | − | 1.02060i | ||||
\(862\) | 2.40766 | + | 20.5134i | 0.0820051 | + | 0.698688i | ||||
\(863\) | 5.91418 | + | 22.0720i | 0.201321 | + | 0.751340i | 0.990540 | + | 0.137228i | \(0.0438192\pi\) |
−0.789219 | + | 0.614112i | \(0.789514\pi\) | |||||||
\(864\) | −29.8079 | + | 9.95678i | −1.01409 | + | 0.338737i | ||||
\(865\) | 10.2552 | + | 15.0380i | 0.348689 | + | 0.511309i | ||||
\(866\) | 0.464387 | + | 1.16730i | 0.0157805 | + | 0.0396664i | ||||
\(867\) | 26.9501 | + | 26.9501i | 0.915275 | + | 0.915275i | ||||
\(868\) | −10.1046 | − | 2.25167i | −0.342973 | − | 0.0764267i | ||||
\(869\) | −15.5160 | −0.526343 | ||||||||
\(870\) | −3.17648 | − | 1.09460i | −0.107693 | − | 0.0371103i | ||||
\(871\) | 23.8105 | − | 13.7470i | 0.806787 | − | 0.465799i | ||||
\(872\) | −16.2664 | + | 19.4423i | −0.550849 | + | 0.658401i | ||||
\(873\) | 14.9016 | − | 3.99288i | 0.504344 | − | 0.135139i | ||||
\(874\) | −2.21750 | + | 2.80725i | −0.0750079 | + | 0.0949567i | ||||
\(875\) | 13.9209 | − | 26.0999i | 0.470614 | − | 0.882339i | ||||
\(876\) | −20.8599 | + | 4.96505i | −0.704789 | + | 0.167753i | ||||
\(877\) | 2.57625 | + | 9.61469i | 0.0869937 | + | 0.324665i | 0.995684 | − | 0.0928054i | \(-0.0295834\pi\) |
−0.908691 | + | 0.417470i | \(0.862917\pi\) | |||||||
\(878\) | −10.4747 | + | 7.80598i | −0.353505 | + | 0.263439i | ||||
\(879\) | 34.3626 | − | 19.8393i | 1.15902 | − | 0.669162i | ||||
\(880\) | 7.70875 | + | 7.42636i | 0.259862 | + | 0.250342i | ||||
\(881\) | − | 23.1848i | − | 0.781117i | −0.920578 | − | 0.390559i | \(-0.872282\pi\) | ||
0.920578 | − | 0.390559i | \(-0.127718\pi\) | |||||||
\(882\) | 9.90834 | + | 9.98024i | 0.333631 | + | 0.336052i | ||||
\(883\) | −3.67564 | − | 3.67564i | −0.123695 | − | 0.123695i | 0.642549 | − | 0.766244i | \(-0.277877\pi\) |
−0.766244 | + | 0.642549i | \(0.777877\pi\) | |||||||
\(884\) | −63.5762 | − | 18.9669i | −2.13830 | − | 0.637927i | ||||
\(885\) | −12.4762 | + | 8.50817i | −0.419382 | + | 0.285999i | ||||
\(886\) | −42.3763 | − | 6.18643i | −1.42366 | − | 0.207837i | ||||
\(887\) | 8.25926 | + | 30.8240i | 0.277319 | + | 1.03497i | 0.954272 | + | 0.298941i | \(0.0966334\pi\) |
−0.676953 | + | 0.736026i | \(0.736700\pi\) | |||||||
\(888\) | 27.4560 | − | 10.0380i | 0.921364 | − | 0.336853i | ||||
\(889\) | −24.8638 | − | 21.5762i | −0.833905 | − | 0.723643i | ||||
\(890\) | 5.44363 | − | 8.06637i | 0.182471 | − | 0.270385i | ||||
\(891\) | −2.81900 | − | 1.62755i | −0.0944401 | − | 0.0545250i | ||||
\(892\) | −1.28561 | + | 45.6933i | −0.0430453 | + | 1.52992i | ||||
\(893\) | 10.5278 | − | 39.2903i | 0.352300 | − | 1.31480i | ||||
\(894\) | 11.0296 | − | 4.38793i | 0.368886 | − | 0.146754i | ||||
\(895\) | −6.96478 | − | 5.99231i | −0.232807 | − | 0.200301i | ||||
\(896\) | 27.9622 | − | 10.6826i | 0.934151 | − | 0.356879i | ||||
\(897\) | −1.67506 | − | 1.67506i | −0.0559285 | − | 0.0559285i | ||||
\(898\) | −14.7717 | + | 34.2899i | −0.492938 | + | 1.14427i | ||||
\(899\) | −1.43240 | + | 0.826996i | −0.0477732 | + | 0.0275819i | ||||
\(900\) | −11.1905 | − | 8.75155i | −0.373016 | − | 0.291718i | ||||
\(901\) | −9.72748 | + | 16.8485i | −0.324069 | + | 0.561304i | ||||
\(902\) | 1.80987 | + | 15.4202i | 0.0602620 | + | 0.513436i | ||||
\(903\) | −5.11731 | − | 7.57265i | −0.170293 | − | 0.252002i | ||||
\(904\) | −43.2518 | − | 20.0928i | −1.43853 | − | 0.668277i | ||||
\(905\) | 30.6695 | − | 10.7356i | 1.01949 | − | 0.356864i | ||||
\(906\) | 3.56801 | − | 24.4404i | 0.118539 | − | 0.811979i | ||||
\(907\) | 27.0682 | + | 7.25289i | 0.898783 | + | 0.240828i | 0.678494 | − | 0.734606i | \(-0.262633\pi\) |
0.220290 | + | 0.975435i | \(0.429300\pi\) | |||||||
\(908\) | −1.75775 | + | 0.949953i | −0.0583331 | + | 0.0315253i | ||||
\(909\) | 1.13604i | 0.0376801i | ||||||||
\(910\) | 28.5093 | − | 28.5449i | 0.945074 | − | 0.946253i | ||||
\(911\) | −7.11545 | −0.235745 | −0.117873 | − | 0.993029i | \(-0.537607\pi\) | ||||
−0.117873 | + | 0.993029i | \(0.537607\pi\) | |||||||
\(912\) | 24.2589 | − | 21.6723i | 0.803293 | − | 0.717641i | ||||
\(913\) | −1.25153 | + | 4.67078i | −0.0414197 | + | 0.154580i | ||||
\(914\) | −8.23331 | − | 1.20196i | −0.272334 | − | 0.0397574i | ||||
\(915\) | −5.87375 | + | 12.2005i | −0.194180 | + | 0.403336i | ||||
\(916\) | 1.86294 | + | 7.82684i | 0.0615532 | + | 0.258606i | ||||
\(917\) | 9.65368 | − | 19.8363i | 0.318793 | − | 0.655053i | ||||
\(918\) | 6.30063 | + | 53.6817i | 0.207952 | + | 1.77176i | ||||
\(919\) | −12.7468 | − | 7.35939i | −0.420479 | − | 0.242764i | 0.274803 | − | 0.961501i | \(-0.411387\pi\) |
−0.695282 | + | 0.718737i | \(0.744721\pi\) | |||||||
\(920\) | 1.44009 | − | 2.00963i | 0.0474784 | − | 0.0662554i | ||||
\(921\) | −5.16301 | − | 8.94259i | −0.170127 | − | 0.294668i | ||||
\(922\) | 4.50420 | + | 1.94036i | 0.148338 | + | 0.0639023i | ||||
\(923\) | 31.3937 | − | 31.3937i | 1.03334 | − | 1.03334i | ||||
\(924\) | 7.05515 | + | 3.68243i | 0.232097 | + | 0.121143i | ||||
\(925\) | 33.0912 | + | 24.4109i | 1.08803 | + | 0.802626i | ||||
\(926\) | 45.2584 | − | 18.0052i | 1.48728 | − | 0.591687i | ||||
\(927\) | −18.5616 | − | 4.97358i | −0.609644 | − | 0.163354i | ||||
\(928\) | 2.13606 | − | 4.27883i | 0.0701195 | − | 0.140459i | ||||
\(929\) | −24.9750 | + | 43.2579i | −0.819402 | + | 1.41925i | 0.0867217 | + | 0.996233i | \(0.472361\pi\) |
−0.906124 | + | 0.423013i | \(0.860972\pi\) | |||||||
\(930\) | 7.63264 | − | 1.48175i | 0.250284 | − | 0.0485885i | ||||
\(931\) | −42.0284 | − | 16.8964i | −1.37742 | − | 0.553758i | ||||
\(932\) | 19.8160 | − | 32.1959i | 0.649096 | − | 1.05461i | ||||
\(933\) | −17.2866 | + | 4.63193i | −0.565938 | + | 0.151643i | ||||
\(934\) | −15.2796 | − | 2.23063i | −0.499962 | − | 0.0729884i | ||||
\(935\) | 15.2095 | − | 10.3721i | 0.497403 | − | 0.339206i | ||||
\(936\) | −11.1360 | − | 15.8552i | −0.363993 | − | 0.518244i | ||||
\(937\) | 36.9882 | − | 36.9882i | 1.20835 | − | 1.20835i | 0.236789 | − | 0.971561i | \(-0.423905\pi\) |
0.971561 | − | 0.236789i | \(-0.0760951\pi\) | |||||||
\(938\) | 17.6333 | + | 12.0090i | 0.575749 | + | 0.392109i | ||||
\(939\) | 14.8750 | 0.485428 | ||||||||
\(940\) | −5.99787 | + | 27.4639i | −0.195629 | + | 0.895774i | ||||
\(941\) | 5.14022 | + | 8.90311i | 0.167566 | + | 0.290233i | 0.937564 | − | 0.347814i | \(-0.113076\pi\) |
−0.769997 | + | 0.638047i | \(0.779743\pi\) | |||||||
\(942\) | −3.04950 | + | 2.27254i | −0.0993580 | + | 0.0740435i | ||||
\(943\) | 3.46390 | − | 0.928150i | 0.112800 | − | 0.0302247i | ||||
\(944\) | −9.68391 | − | 19.1902i | −0.315184 | − | 0.624589i | ||||
\(945\) | −30.5466 | − | 12.1303i | −0.993682 | − | 0.394600i | ||||
\(946\) | 3.65058 | + | 2.88365i | 0.118691 | + | 0.0937557i | ||||
\(947\) | −8.50962 | − | 31.7583i | −0.276525 | − | 1.03201i | −0.954812 | − | 0.297210i | \(-0.903944\pi\) |
0.678287 | − | 0.734797i | \(-0.262723\pi\) | |||||||
\(948\) | 0.916505 | − | 32.5746i | 0.0297667 | − | 1.05797i | ||||
\(949\) | −20.5683 | − | 35.6253i | −0.667675 | − | 1.15645i | ||||
\(950\) | 44.2554 | + | 11.6279i | 1.43584 | + | 0.377259i | ||||
\(951\) | 1.16396i | 0.0377441i | ||||||||
\(952\) | −8.17048 | − | 50.8288i | −0.264807 | − | 1.64737i | ||||
\(953\) | −3.50587 | + | 3.50587i | −0.113566 | + | 0.113566i | −0.761606 | − | 0.648040i | \(-0.775589\pi\) |
0.648040 | + | 0.761606i | \(0.275589\pi\) | |||||||
\(954\) | −5.27914 | + | 2.10020i | −0.170919 | + | 0.0679966i | ||||
\(955\) | 1.54158 | − | 8.15249i | 0.0498845 | − | 0.263808i | ||||
\(956\) | 8.56425 | − | 8.09551i | 0.276988 | − | 0.261828i | ||||
\(957\) | 1.22816 | − | 0.329086i | 0.0397009 | − | 0.0106378i | ||||
\(958\) | −0.0200330 | − | 0.170682i | −0.000647236 | − | 0.00551448i | ||||
\(959\) | −5.36331 | + | 27.7192i | −0.173190 | + | 0.895101i | ||||
\(960\) | −16.0464 | + | 15.7453i | −0.517896 | + | 0.508177i | ||||
\(961\) | −13.5862 | + | 23.5320i | −0.438264 | + | 0.759096i | ||||
\(962\) | 33.5120 | + | 44.9693i | 1.08047 | + | 1.44987i | ||||
\(963\) | −6.49006 | + | 24.2212i | −0.209139 | + | 0.780518i | ||||
\(964\) | 27.2239 | + | 8.12181i | 0.876822 | + | 0.261586i | ||||
\(965\) | −33.5875 | + | 2.52084i | −1.08122 | + | 0.0811489i | ||||
\(966\) | 0.606223 | − | 1.73532i | 0.0195049 | − | 0.0558332i | ||||
\(967\) | −16.1553 | − | 16.1553i | −0.519520 | − | 0.519520i | 0.397906 | − | 0.917426i | \(-0.369737\pi\) |
−0.917426 | + | 0.397906i | \(0.869737\pi\) | |||||||
\(968\) | 26.6575 | + | 4.66083i | 0.856803 | + | 0.149805i | ||||
\(969\) | −27.9734 | − | 48.4514i | −0.898637 | − | 1.55648i | ||||
\(970\) | 25.9228 | − | 22.5235i | 0.832330 | − | 0.723186i | ||||
\(971\) | −8.64545 | + | 14.9744i | −0.277446 | + | 0.480550i | −0.970749 | − | 0.240096i | \(-0.922821\pi\) |
0.693303 | + | 0.720646i | \(0.256155\pi\) | |||||||
\(972\) | −13.8885 | + | 22.5651i | −0.445473 | + | 0.723777i | ||||
\(973\) | 2.00005 | + | 28.2524i | 0.0641185 | + | 0.905729i | ||||
\(974\) | 27.1332 | − | 34.3494i | 0.869404 | − | 1.10063i | ||||
\(975\) | −11.0633 | + | 28.2076i | −0.354310 | + | 0.903365i | ||||
\(976\) | −16.1237 | − | 10.5604i | −0.516106 | − | 0.338029i | ||||
\(977\) | 6.89834 | − | 25.7449i | 0.220697 | − | 0.823654i | −0.763386 | − | 0.645943i | \(-0.776464\pi\) |
0.984083 | − | 0.177710i | \(-0.0568690\pi\) | |||||||
\(978\) | −3.41079 | − | 1.46933i | −0.109065 | − | 0.0469839i | ||||
\(979\) | 3.68277i | 0.117702i | ||||||||
\(980\) | 29.5599 | + | 10.3059i | 0.944257 | + | 0.329209i | ||||
\(981\) | 12.7322i | 0.406508i | ||||||||
\(982\) | −19.2361 | + | 44.6533i | −0.613850 | + | 1.42494i | ||||
\(983\) | −2.61653 | + | 9.76501i | −0.0834542 | + | 0.311455i | −0.995017 | − | 0.0997055i | \(-0.968210\pi\) |
0.911563 | + | 0.411161i | \(0.134877\pi\) | |||||||
\(984\) | −32.4804 | + | 2.88883i | −1.03544 | + | 0.0920927i | ||||
\(985\) | −13.5368 | + | 28.1175i | −0.431317 | + | 0.895897i | ||||
\(986\) | −6.45432 | − | 5.09838i | −0.205547 | − | 0.162365i | ||||
\(987\) | 1.47590 | + | 20.8483i | 0.0469784 | + | 0.663610i | ||||
\(988\) | 53.1468 | + | 32.7110i | 1.69082 | + | 1.04067i | ||||
\(989\) | 0.537257 | − | 0.930557i | 0.0170838 | − | 0.0295900i | ||||
\(990\) | 5.36307 | + | 0.376305i | 0.170449 | + | 0.0119598i | ||||
\(991\) | −24.4223 | − | 42.3006i | −0.775799 | − | 1.34372i | −0.934344 | − | 0.356372i | \(-0.884014\pi\) |
0.158545 | − | 0.987352i | \(-0.449320\pi\) | |||||||
\(992\) | 0.670036 | + | 11.0470i | 0.0212737 | + | 0.350741i | ||||
\(993\) | 13.0712 | + | 13.0712i | 0.414802 | + | 0.414802i | ||||
\(994\) | 32.5233 | + | 11.3618i | 1.03158 | + | 0.360373i | ||||
\(995\) | 7.63814 | + | 6.57165i | 0.242145 | + | 0.208335i | ||||
\(996\) | −9.73203 | − | 2.90339i | −0.308371 | − | 0.0919976i | ||||
\(997\) | 11.4714 | − | 42.8120i | 0.363304 | − | 1.35587i | −0.506402 | − | 0.862298i | \(-0.669025\pi\) |
0.869706 | − | 0.493571i | \(-0.164309\pi\) | |||||||
\(998\) | −44.9784 | + | 33.5188i | −1.42377 | + | 1.06102i | ||||
\(999\) | 22.8449 | − | 39.5684i | 0.722779 | − | 1.25189i |
(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 | 280.2.bv.e.117.6 | ✓ | 160 | |
5.3 | odd | 4 | inner | 280.2.bv.e.173.17 | yes | 160 | |
7.3 | odd | 6 | inner | 280.2.bv.e.157.31 | yes | 160 | |
8.5 | even | 2 | inner | 280.2.bv.e.117.13 | yes | 160 | |
35.3 | even | 12 | inner | 280.2.bv.e.213.13 | yes | 160 | |
40.13 | odd | 4 | inner | 280.2.bv.e.173.31 | yes | 160 | |
56.45 | odd | 6 | inner | 280.2.bv.e.157.17 | yes | 160 | |
280.213 | even | 12 | inner | 280.2.bv.e.213.6 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.bv.e.117.6 | ✓ | 160 | 1.1 | even | 1 | trivial | |
280.2.bv.e.117.13 | yes | 160 | 8.5 | even | 2 | inner | |
280.2.bv.e.157.17 | yes | 160 | 56.45 | odd | 6 | inner | |
280.2.bv.e.157.31 | yes | 160 | 7.3 | odd | 6 | inner | |
280.2.bv.e.173.17 | yes | 160 | 5.3 | odd | 4 | inner | |
280.2.bv.e.173.31 | yes | 160 | 40.13 | odd | 4 | inner | |
280.2.bv.e.213.6 | yes | 160 | 280.213 | even | 12 | inner | |
280.2.bv.e.213.13 | yes | 160 | 35.3 | even | 12 | inner |