Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [240,2,Mod(43,240)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(240, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("240.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 240 = 2^{4} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 240.bc (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.91640964851\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(i)\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 6 x^{15} + 14 x^{14} - 10 x^{13} - 26 x^{12} + 78 x^{11} - 66 x^{10} - 74 x^{9} + 233 x^{8} - 148 x^{7} - 264 x^{6} + 624 x^{5} - 416 x^{4} - 320 x^{3} + 896 x^{2} - 768 x + 256 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{5} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 43.5 | ||
Root | \(-1.20803 - 0.735291i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 240.43 |
Dual form | 240.2.bc.e.67.5 |
$q$-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 \(\left(\mathbb{Z}/240\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(97\) | \(161\) | \(181\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.873858 | − | 1.11192i | 0.617911 | − | 0.786248i | ||||
\(3\) | 1.00000i | 0.577350i | ||||||||
\(4\) | −0.472743 | − | 1.94333i | −0.236372 | − | 0.971663i | ||||
\(5\) | 1.54804 | − | 1.61356i | 0.692303 | − | 0.721607i | ||||
\(6\) | 1.11192 | + | 0.873858i | 0.453940 | + | 0.356751i | ||||
\(7\) | 0.143894 | − | 0.143894i | 0.0543867 | − | 0.0543867i | −0.679390 | − | 0.733777i | \(-0.737756\pi\) |
0.733777 | + | 0.679390i | \(0.237756\pi\) | |||||||
\(8\) | −2.57394 | − | 1.17254i | −0.910024 | − | 0.414554i | ||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | −0.441393 | − | 3.13132i | −0.139581 | − | 0.990211i | ||||
\(11\) | 0.749545 | − | 0.749545i | 0.225996 | − | 0.225996i | −0.585021 | − | 0.811018i | \(-0.698914\pi\) |
0.811018 | + | 0.585021i | \(0.198914\pi\) | |||||||
\(12\) | 1.94333 | − | 0.472743i | 0.560990 | − | 0.136469i | ||||
\(13\) | 3.29132 | 0.912847 | 0.456423 | − | 0.889763i | \(-0.349130\pi\) | ||||
0.456423 | + | 0.889763i | \(0.349130\pi\) | |||||||
\(14\) | −0.0342559 | − | 0.285741i | −0.00915528 | − | 0.0763676i | ||||
\(15\) | 1.61356 | + | 1.54804i | 0.416620 | + | 0.399701i | ||||
\(16\) | −3.55303 | + | 1.83739i | −0.888257 | + | 0.459347i | ||||
\(17\) | 1.35709 | − | 1.35709i | 0.329142 | − | 0.329142i | −0.523118 | − | 0.852260i | \(-0.675231\pi\) |
0.852260 | + | 0.523118i | \(0.175231\pi\) | |||||||
\(18\) | −0.873858 | + | 1.11192i | −0.205970 | + | 0.262083i | ||||
\(19\) | −4.25468 | + | 4.25468i | −0.976091 | + | 0.976091i | −0.999721 | − | 0.0236300i | \(-0.992478\pi\) |
0.0236300 | + | 0.999721i | \(0.492478\pi\) | |||||||
\(20\) | −3.86750 | − | 2.24554i | −0.864800 | − | 0.502117i | ||||
\(21\) | 0.143894 | + | 0.143894i | 0.0314002 | + | 0.0314002i | ||||
\(22\) | −0.178440 | − | 1.48843i | −0.0380435 | − | 0.317335i | ||||
\(23\) | 0.837388 | + | 0.837388i | 0.174608 | + | 0.174608i | 0.789000 | − | 0.614393i | \(-0.210599\pi\) |
−0.614393 | + | 0.789000i | \(0.710599\pi\) | |||||||
\(24\) | 1.17254 | − | 2.57394i | 0.239343 | − | 0.525403i | ||||
\(25\) | −0.207170 | − | 4.99571i | −0.0414341 | − | 0.999141i | ||||
\(26\) | 2.87614 | − | 3.65969i | 0.564058 | − | 0.717724i | ||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | −0.347657 | − | 0.211607i | −0.0657010 | − | 0.0399900i | ||||
\(29\) | 2.77462 | + | 2.77462i | 0.515234 | + | 0.515234i | 0.916126 | − | 0.400891i | \(-0.131299\pi\) |
−0.400891 | + | 0.916126i | \(0.631299\pi\) | |||||||
\(30\) | 3.13132 | − | 0.441393i | 0.571698 | − | 0.0805870i | ||||
\(31\) | 6.60915i | 1.18704i | 0.804820 | + | 0.593520i | \(0.202262\pi\) | ||||
−0.804820 | + | 0.593520i | \(0.797738\pi\) | |||||||
\(32\) | −1.06181 | + | 5.55631i | −0.187703 | + | 0.982226i | ||||
\(33\) | 0.749545 | + | 0.749545i | 0.130479 | + | 0.130479i | ||||
\(34\) | −0.323074 | − | 2.69488i | −0.0554067 | − | 0.462167i | ||||
\(35\) | −0.00942893 | − | 0.454934i | −0.00159378 | − | 0.0768979i | ||||
\(36\) | 0.472743 | + | 1.94333i | 0.0787906 | + | 0.323888i | ||||
\(37\) | −10.0194 | −1.64717 | −0.823586 | − | 0.567191i | \(-0.808030\pi\) | ||||
−0.823586 | + | 0.567191i | \(0.808030\pi\) | |||||||
\(38\) | 1.01289 | + | 8.44886i | 0.164312 | + | 1.37059i | ||||
\(39\) | 3.29132i | 0.527032i | ||||||||
\(40\) | −5.87651 | + | 2.33808i | −0.929158 | + | 0.369683i | ||||
\(41\) | 1.72608i | 0.269569i | 0.990875 | + | 0.134784i | \(0.0430342\pi\) | ||||
−0.990875 | + | 0.134784i | \(0.956966\pi\) | |||||||
\(42\) | 0.285741 | − | 0.0342559i | 0.0440908 | − | 0.00528580i | ||||
\(43\) | −4.17171 | −0.636180 | −0.318090 | − | 0.948061i | \(-0.603041\pi\) | ||||
−0.318090 | + | 0.948061i | \(0.603041\pi\) | |||||||
\(44\) | −1.81095 | − | 1.10227i | −0.273011 | − | 0.166173i | ||||
\(45\) | −1.54804 | + | 1.61356i | −0.230768 | + | 0.240536i | ||||
\(46\) | 1.66287 | − | 0.199352i | 0.245177 | − | 0.0293929i | ||||
\(47\) | 8.54502 | + | 8.54502i | 1.24642 | + | 1.24642i | 0.957290 | + | 0.289128i | \(0.0933654\pi\) |
0.289128 | + | 0.957290i | \(0.406635\pi\) | |||||||
\(48\) | −1.83739 | − | 3.55303i | −0.265204 | − | 0.512835i | ||||
\(49\) | 6.95859i | 0.994084i | ||||||||
\(50\) | −5.73588 | − | 4.13518i | −0.811175 | − | 0.584803i | ||||
\(51\) | 1.35709 | + | 1.35709i | 0.190030 | + | 0.190030i | ||||
\(52\) | −1.55595 | − | 6.39610i | −0.215771 | − | 0.886979i | ||||
\(53\) | − | 5.05524i | − | 0.694391i | −0.937793 | − | 0.347196i | \(-0.887134\pi\) | ||
0.937793 | − | 0.347196i | \(-0.112866\pi\) | |||||||
\(54\) | −1.11192 | − | 0.873858i | −0.151313 | − | 0.118917i | ||||
\(55\) | −0.0491155 | − | 2.36976i | −0.00662273 | − | 0.319538i | ||||
\(56\) | −0.539094 | + | 0.201653i | −0.0720395 | + | 0.0269470i | ||||
\(57\) | −4.25468 | − | 4.25468i | −0.563546 | − | 0.563546i | ||||
\(58\) | 5.50979 | − | 0.660538i | 0.723471 | − | 0.0867329i | ||||
\(59\) | −3.08237 | − | 3.08237i | −0.401290 | − | 0.401290i | 0.477398 | − | 0.878687i | \(-0.341580\pi\) |
−0.878687 | + | 0.477398i | \(0.841580\pi\) | |||||||
\(60\) | 2.24554 | − | 3.86750i | 0.289897 | − | 0.499292i | ||||
\(61\) | −5.00346 | + | 5.00346i | −0.640627 | + | 0.640627i | −0.950710 | − | 0.310083i | \(-0.899643\pi\) |
0.310083 | + | 0.950710i | \(0.399643\pi\) | |||||||
\(62\) | 7.34887 | + | 5.77546i | 0.933307 | + | 0.733485i | ||||
\(63\) | −0.143894 | + | 0.143894i | −0.0181289 | + | 0.0181289i | ||||
\(64\) | 5.25031 | + | 6.03608i | 0.656289 | + | 0.754509i | ||||
\(65\) | 5.09507 | − | 5.31074i | 0.631966 | − | 0.658717i | ||||
\(66\) | 1.48843 | − | 0.178440i | 0.183213 | − | 0.0219644i | ||||
\(67\) | −4.26739 | −0.521345 | −0.260672 | − | 0.965427i | \(-0.583944\pi\) | ||||
−0.260672 | + | 0.965427i | \(0.583944\pi\) | |||||||
\(68\) | −3.27881 | − | 1.99571i | −0.397614 | − | 0.242015i | ||||
\(69\) | −0.837388 | + | 0.837388i | −0.100810 | + | 0.100810i | ||||
\(70\) | −0.514091 | − | 0.387064i | −0.0614456 | − | 0.0462629i | ||||
\(71\) | 13.2111 | 1.56786 | 0.783932 | − | 0.620846i | \(-0.213211\pi\) | ||||
0.783932 | + | 0.620846i | \(0.213211\pi\) | |||||||
\(72\) | 2.57394 | + | 1.17254i | 0.303341 | + | 0.138185i | ||||
\(73\) | 11.6889 | − | 11.6889i | 1.36808 | − | 1.36808i | 0.504904 | − | 0.863175i | \(-0.331528\pi\) |
0.863175 | − | 0.504904i | \(-0.168472\pi\) | |||||||
\(74\) | −8.75550 | + | 11.1407i | −1.01781 | + | 1.29509i | ||||
\(75\) | 4.99571 | − | 0.207170i | 0.576854 | − | 0.0239220i | ||||
\(76\) | 10.2796 | + | 6.25686i | 1.17915 | + | 0.717711i | ||||
\(77\) | − | 0.215710i | − | 0.0245824i | ||||||
\(78\) | 3.65969 | + | 2.87614i | 0.414378 | + | 0.325659i | ||||
\(79\) | −9.95558 | −1.12009 | −0.560045 | − | 0.828462i | \(-0.689216\pi\) | ||||
−0.560045 | + | 0.828462i | \(0.689216\pi\) | |||||||
\(80\) | −2.53547 | + | 8.57738i | −0.283474 | + | 0.958980i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 1.91927 | + | 1.50835i | 0.211948 | + | 0.166570i | ||||
\(83\) | − | 10.0134i | − | 1.09912i | −0.835455 | − | 0.549559i | \(-0.814796\pi\) | ||
0.835455 | − | 0.549559i | \(-0.185204\pi\) | |||||||
\(84\) | 0.211607 | − | 0.347657i | 0.0230883 | − | 0.0379325i | ||||
\(85\) | −0.0889259 | − | 4.29056i | −0.00964537 | − | 0.465377i | ||||
\(86\) | −3.64549 | + | 4.63862i | −0.393103 | + | 0.500195i | ||||
\(87\) | −2.77462 | + | 2.77462i | −0.297471 | + | 0.297471i | ||||
\(88\) | −2.80815 | + | 1.05041i | −0.299350 | + | 0.111974i | ||||
\(89\) | −5.76005 | −0.610564 | −0.305282 | − | 0.952262i | \(-0.598751\pi\) | ||||
−0.305282 | + | 0.952262i | \(0.598751\pi\) | |||||||
\(90\) | 0.441393 | + | 3.13132i | 0.0465269 | + | 0.330070i | ||||
\(91\) | 0.473599 | − | 0.473599i | 0.0496467 | − | 0.0496467i | ||||
\(92\) | 1.23145 | − | 2.02319i | 0.128387 | − | 0.210932i | ||||
\(93\) | −6.60915 | −0.685337 | ||||||||
\(94\) | 16.9685 | − | 2.03426i | 1.75017 | − | 0.209818i | ||||
\(95\) | 0.278797 | + | 13.4516i | 0.0286040 | + | 1.38010i | ||||
\(96\) | −5.55631 | − | 1.06181i | −0.567088 | − | 0.108370i | ||||
\(97\) | 11.7668 | − | 11.7668i | 1.19474 | − | 1.19474i | 0.219021 | − | 0.975720i | \(-0.429714\pi\) |
0.975720 | − | 0.219021i | \(-0.0702865\pi\) | |||||||
\(98\) | 7.73741 | + | 6.08082i | 0.781597 | + | 0.614256i | ||||
\(99\) | −0.749545 | + | 0.749545i | −0.0753321 | + | 0.0753321i | ||||
\(100\) | −9.61034 | + | 2.76429i | −0.961034 | + | 0.276429i | ||||
\(101\) | −1.29314 | − | 1.29314i | −0.128672 | − | 0.128672i | 0.639838 | − | 0.768510i | \(-0.279002\pi\) |
−0.768510 | + | 0.639838i | \(0.779002\pi\) | |||||||
\(102\) | 2.69488 | − | 0.323074i | 0.266832 | − | 0.0319890i | ||||
\(103\) | −11.2892 | − | 11.2892i | −1.11236 | − | 1.11236i | −0.992830 | − | 0.119532i | \(-0.961861\pi\) |
−0.119532 | − | 0.992830i | \(-0.538139\pi\) | |||||||
\(104\) | −8.47164 | − | 3.85919i | −0.830713 | − | 0.378425i | ||||
\(105\) | 0.454934 | − | 0.00942893i | 0.0443970 | − | 0.000920169i | ||||
\(106\) | −5.62104 | − | 4.41757i | −0.545964 | − | 0.429072i | ||||
\(107\) | − | 1.39451i | − | 0.134812i | −0.997726 | − | 0.0674060i | \(-0.978528\pi\) | ||
0.997726 | − | 0.0674060i | \(-0.0214723\pi\) | |||||||
\(108\) | −1.94333 | + | 0.472743i | −0.186997 | + | 0.0454897i | ||||
\(109\) | 4.55325 | + | 4.55325i | 0.436123 | + | 0.436123i | 0.890705 | − | 0.454582i | \(-0.150211\pi\) |
−0.454582 | + | 0.890705i | \(0.650211\pi\) | |||||||
\(110\) | −2.67791 | − | 2.01622i | −0.255329 | − | 0.192239i | ||||
\(111\) | − | 10.0194i | − | 0.950995i | ||||||
\(112\) | −0.246870 | + | 0.775647i | −0.0233270 | + | 0.0732917i | ||||
\(113\) | −11.4501 | − | 11.4501i | −1.07714 | − | 1.07714i | −0.996765 | − | 0.0803726i | \(-0.974389\pi\) |
−0.0803726 | − | 0.996765i | \(-0.525611\pi\) | |||||||
\(114\) | −8.44886 | + | 1.01289i | −0.791309 | + | 0.0948656i | ||||
\(115\) | 2.64749 | − | 0.0548716i | 0.246879 | − | 0.00511680i | ||||
\(116\) | 4.08031 | − | 6.70368i | 0.378847 | − | 0.622421i | ||||
\(117\) | −3.29132 | −0.304282 | ||||||||
\(118\) | −6.12090 | + | 0.733801i | −0.563475 | + | 0.0675519i | ||||
\(119\) | − | 0.390552i | − | 0.0358018i | ||||||
\(120\) | −2.33808 | − | 5.87651i | −0.213437 | − | 0.536450i | ||||
\(121\) | 9.87636i | 0.897851i | ||||||||
\(122\) | 1.19114 | + | 9.93577i | 0.107841 | + | 0.899542i | ||||
\(123\) | −1.72608 | −0.155636 | ||||||||
\(124\) | 12.8437 | − | 3.12443i | 1.15340 | − | 0.280582i | ||||
\(125\) | −8.38159 | − | 7.39925i | −0.749672 | − | 0.661809i | ||||
\(126\) | 0.0342559 | + | 0.285741i | 0.00305176 | + | 0.0254559i | ||||
\(127\) | 4.94562 | + | 4.94562i | 0.438853 | + | 0.438853i | 0.891626 | − | 0.452773i | \(-0.149565\pi\) |
−0.452773 | + | 0.891626i | \(0.649565\pi\) | |||||||
\(128\) | 11.2997 | − | 0.563267i | 0.998760 | − | 0.0497862i | ||||
\(129\) | − | 4.17171i | − | 0.367299i | ||||||
\(130\) | −1.45276 | − | 10.3062i | −0.127416 | − | 0.903910i | ||||
\(131\) | −12.7313 | − | 12.7313i | −1.11234 | − | 1.11234i | −0.992833 | − | 0.119509i | \(-0.961868\pi\) |
−0.119509 | − | 0.992833i | \(-0.538132\pi\) | |||||||
\(132\) | 1.10227 | − | 1.81095i | 0.0959401 | − | 0.157623i | ||||
\(133\) | 1.22444i | 0.106173i | ||||||||
\(134\) | −3.72909 | + | 4.74501i | −0.322145 | + | 0.409906i | ||||
\(135\) | −1.61356 | − | 1.54804i | −0.138873 | − | 0.133234i | ||||
\(136\) | −5.08429 | + | 1.90182i | −0.435974 | + | 0.163080i | ||||
\(137\) | 6.06032 | + | 6.06032i | 0.517768 | + | 0.517768i | 0.916896 | − | 0.399127i | \(-0.130687\pi\) |
−0.399127 | + | 0.916896i | \(0.630687\pi\) | |||||||
\(138\) | 0.199352 | + | 1.66287i | 0.0169700 | + | 0.141553i | ||||
\(139\) | −10.3543 | − | 10.3543i | −0.878239 | − | 0.878239i | 0.115114 | − | 0.993352i | \(-0.463277\pi\) |
−0.993352 | + | 0.115114i | \(0.963277\pi\) | |||||||
\(140\) | −0.879627 | + | 0.233390i | −0.0743421 | + | 0.0197251i | ||||
\(141\) | −8.54502 | + | 8.54502i | −0.719620 | + | 0.719620i | ||||
\(142\) | 11.5446 | − | 14.6897i | 0.968801 | − | 1.23273i | ||||
\(143\) | 2.46699 | − | 2.46699i | 0.206300 | − | 0.206300i | ||||
\(144\) | 3.55303 | − | 1.83739i | 0.296086 | − | 0.153116i | ||||
\(145\) | 8.77224 | − | 0.181813i | 0.728495 | − | 0.0150987i | ||||
\(146\) | −2.78270 | − | 23.2115i | −0.230298 | − | 1.92100i | ||||
\(147\) | −6.95859 | −0.573935 | ||||||||
\(148\) | 4.73658 | + | 19.4709i | 0.389345 | + | 1.60050i | ||||
\(149\) | −0.485009 | + | 0.485009i | −0.0397335 | + | 0.0397335i | −0.726694 | − | 0.686961i | \(-0.758944\pi\) |
0.686961 | + | 0.726694i | \(0.258944\pi\) | |||||||
\(150\) | 4.13518 | − | 5.73588i | 0.337636 | − | 0.468332i | ||||
\(151\) | 6.47302 | 0.526767 | 0.263383 | − | 0.964691i | \(-0.415162\pi\) | ||||
0.263383 | + | 0.964691i | \(0.415162\pi\) | |||||||
\(152\) | 15.9401 | − | 5.96251i | 1.29291 | − | 0.483624i | ||||
\(153\) | −1.35709 | + | 1.35709i | −0.109714 | + | 0.109714i | ||||
\(154\) | −0.239852 | − | 0.188500i | −0.0193278 | − | 0.0151897i | ||||
\(155\) | 10.6643 | + | 10.2312i | 0.856576 | + | 0.821790i | ||||
\(156\) | 6.39610 | − | 1.55595i | 0.512098 | − | 0.124575i | ||||
\(157\) | 11.7463i | 0.937455i | 0.883343 | + | 0.468728i | \(0.155287\pi\) | ||||
−0.883343 | + | 0.468728i | \(0.844713\pi\) | |||||||
\(158\) | −8.69977 | + | 11.0698i | −0.692117 | + | 0.880669i | ||||
\(159\) | 5.05524 | 0.400907 | ||||||||
\(160\) | 7.32173 | + | 10.3147i | 0.578834 | + | 0.815445i | ||||
\(161\) | 0.240990 | 0.0189926 | ||||||||
\(162\) | 0.873858 | − | 1.11192i | 0.0686568 | − | 0.0873609i | ||||
\(163\) | 1.87143i | 0.146582i | 0.997311 | + | 0.0732908i | \(0.0233501\pi\) | ||||
−0.997311 | + | 0.0732908i | \(0.976650\pi\) | |||||||
\(164\) | 3.35434 | − | 0.815994i | 0.261930 | − | 0.0637184i | ||||
\(165\) | 2.36976 | − | 0.0491155i | 0.184486 | − | 0.00382364i | ||||
\(166\) | −11.1342 | − | 8.75033i | −0.864179 | − | 0.679157i | ||||
\(167\) | 4.79897 | − | 4.79897i | 0.371355 | − | 0.371355i | −0.496615 | − | 0.867971i | \(-0.665424\pi\) |
0.867971 | + | 0.496615i | \(0.165424\pi\) | |||||||
\(168\) | −0.201653 | − | 0.539094i | −0.0155578 | − | 0.0415920i | ||||
\(169\) | −2.16724 | −0.166711 | ||||||||
\(170\) | −4.84848 | − | 3.65046i | −0.371861 | − | 0.279978i | ||||
\(171\) | 4.25468 | − | 4.25468i | 0.325364 | − | 0.325364i | ||||
\(172\) | 1.97215 | + | 8.10699i | 0.150375 | + | 0.618152i | ||||
\(173\) | 12.8446 | 0.976560 | 0.488280 | − | 0.872687i | \(-0.337625\pi\) | ||||
0.488280 | + | 0.872687i | \(0.337625\pi\) | |||||||
\(174\) | 0.660538 | + | 5.50979i | 0.0500753 | + | 0.417696i | ||||
\(175\) | −0.748661 | − | 0.689040i | −0.0565934 | − | 0.0520865i | ||||
\(176\) | −1.28595 | + | 4.04036i | −0.0969320 | + | 0.304554i | ||||
\(177\) | 3.08237 | − | 3.08237i | 0.231685 | − | 0.231685i | ||||
\(178\) | −5.03346 | + | 6.40473i | −0.377274 | + | 0.480054i | ||||
\(179\) | 3.47791 | − | 3.47791i | 0.259951 | − | 0.259951i | −0.565083 | − | 0.825034i | \(-0.691156\pi\) |
0.825034 | + | 0.565083i | \(0.191156\pi\) | |||||||
\(180\) | 3.86750 | + | 2.24554i | 0.288267 | + | 0.167372i | ||||
\(181\) | 16.3185 | + | 16.3185i | 1.21295 | + | 1.21295i | 0.970053 | + | 0.242893i | \(0.0780965\pi\) |
0.242893 | + | 0.970053i | \(0.421903\pi\) | |||||||
\(182\) | −0.112747 | − | 0.940464i | −0.00835737 | − | 0.0697119i | ||||
\(183\) | −5.00346 | − | 5.00346i | −0.369866 | − | 0.369866i | ||||
\(184\) | −1.17352 | − | 3.13725i | −0.0865128 | − | 0.231281i | ||||
\(185\) | −15.5103 | + | 16.1669i | −1.14034 | + | 1.18861i | ||||
\(186\) | −5.77546 | + | 7.34887i | −0.423478 | + | 0.538845i | ||||
\(187\) | − | 2.03439i | − | 0.148770i | ||||||
\(188\) | 12.5661 | − | 20.6453i | 0.916480 | − | 1.50572i | ||||
\(189\) | −0.143894 | − | 0.143894i | −0.0104667 | − | 0.0104667i | ||||
\(190\) | 15.2008 | + | 11.4448i | 1.10278 | + | 0.830292i | ||||
\(191\) | − | 21.5483i | − | 1.55918i | −0.626289 | − | 0.779591i | \(-0.715427\pi\) | ||
0.626289 | − | 0.779591i | \(-0.284573\pi\) | |||||||
\(192\) | −6.03608 | + | 5.25031i | −0.435616 | + | 0.378909i | ||||
\(193\) | 11.3161 | + | 11.3161i | 0.814552 | + | 0.814552i | 0.985313 | − | 0.170760i | \(-0.0546224\pi\) |
−0.170760 | + | 0.985313i | \(0.554622\pi\) | |||||||
\(194\) | −2.80126 | − | 23.3664i | −0.201119 | − | 1.67761i | ||||
\(195\) | 5.31074 | + | 5.09507i | 0.380310 | + | 0.364866i | ||||
\(196\) | 13.5228 | − | 3.28963i | 0.965915 | − | 0.234973i | ||||
\(197\) | −23.3109 | −1.66083 | −0.830417 | − | 0.557142i | \(-0.811898\pi\) | ||||
−0.830417 | + | 0.557142i | \(0.811898\pi\) | |||||||
\(198\) | 0.178440 | + | 1.48843i | 0.0126812 | + | 0.105778i | ||||
\(199\) | − | 2.14992i | − | 0.152404i | −0.997092 | − | 0.0762018i | \(-0.975721\pi\) | ||
0.997092 | − | 0.0762018i | \(-0.0242793\pi\) | |||||||
\(200\) | −5.32441 | + | 13.1016i | −0.376492 | + | 0.926420i | ||||
\(201\) | − | 4.26739i | − | 0.300999i | ||||||
\(202\) | −2.56789 | + | 0.307850i | −0.180676 | + | 0.0216603i | ||||
\(203\) | 0.798501 | 0.0560438 | ||||||||
\(204\) | 1.99571 | − | 3.27881i | 0.139727 | − | 0.229563i | ||||
\(205\) | 2.78514 | + | 2.67204i | 0.194523 | + | 0.186623i | ||||
\(206\) | −22.4180 | + | 2.68756i | −1.56193 | + | 0.187251i | ||||
\(207\) | −0.837388 | − | 0.837388i | −0.0582025 | − | 0.0582025i | ||||
\(208\) | −11.6941 | + | 6.04742i | −0.810842 | + | 0.419313i | ||||
\(209\) | 6.37815i | 0.441186i | ||||||||
\(210\) | 0.387064 | − | 0.514091i | 0.0267099 | − | 0.0354756i | ||||
\(211\) | 6.27270 | + | 6.27270i | 0.431830 | + | 0.431830i | 0.889251 | − | 0.457420i | \(-0.151226\pi\) |
−0.457420 | + | 0.889251i | \(0.651226\pi\) | |||||||
\(212\) | −9.82398 | + | 2.38983i | −0.674714 | + | 0.164134i | ||||
\(213\) | 13.2111i | 0.905207i | ||||||||
\(214\) | −1.55058 | − | 1.21860i | −0.105996 | − | 0.0833019i | ||||
\(215\) | −6.45796 | + | 6.73132i | −0.440429 | + | 0.459072i | ||||
\(216\) | −1.17254 | + | 2.57394i | −0.0797810 | + | 0.175134i | ||||
\(217\) | 0.951015 | + | 0.951015i | 0.0645591 | + | 0.0645591i | ||||
\(218\) | 9.04176 | − | 1.08397i | 0.612385 | − | 0.0734155i | ||||
\(219\) | 11.6889 | + | 11.6889i | 0.789861 | + | 0.789861i | ||||
\(220\) | −4.58200 | + | 1.21574i | −0.308918 | + | 0.0819649i | ||||
\(221\) | 4.46660 | − | 4.46660i | 0.300456 | − | 0.300456i | ||||
\(222\) | −11.1407 | − | 8.75550i | −0.747718 | − | 0.587631i | ||||
\(223\) | 5.00009 | − | 5.00009i | 0.334831 | − | 0.334831i | −0.519587 | − | 0.854418i | \(-0.673914\pi\) |
0.854418 | + | 0.519587i | \(0.173914\pi\) | |||||||
\(224\) | 0.646730 | + | 0.952305i | 0.0432115 | + | 0.0636286i | ||||
\(225\) | 0.207170 | + | 4.99571i | 0.0138114 | + | 0.333047i | ||||
\(226\) | −22.7374 | + | 2.72587i | −1.51247 | + | 0.181322i | ||||
\(227\) | −22.5630 | −1.49756 | −0.748778 | − | 0.662821i | \(-0.769359\pi\) | ||||
−0.748778 | + | 0.662821i | \(0.769359\pi\) | |||||||
\(228\) | −6.25686 | + | 10.2796i | −0.414371 | + | 0.680783i | ||||
\(229\) | 6.83720 | − | 6.83720i | 0.451815 | − | 0.451815i | −0.444142 | − | 0.895957i | \(-0.646491\pi\) |
0.895957 | + | 0.444142i | \(0.146491\pi\) | |||||||
\(230\) | 2.25251 | − | 2.99175i | 0.148526 | − | 0.197270i | ||||
\(231\) | 0.215710 | 0.0141926 | ||||||||
\(232\) | −3.88836 | − | 10.3951i | −0.255283 | − | 0.682469i | ||||
\(233\) | −3.10894 | + | 3.10894i | −0.203673 | + | 0.203673i | −0.801572 | − | 0.597899i | \(-0.796003\pi\) |
0.597899 | + | 0.801572i | \(0.296003\pi\) | |||||||
\(234\) | −2.87614 | + | 3.65969i | −0.188019 | + | 0.239241i | ||||
\(235\) | 27.0159 | − | 0.559930i | 1.76232 | − | 0.0365258i | ||||
\(236\) | −4.53287 | + | 7.44721i | −0.295065 | + | 0.484772i | ||||
\(237\) | − | 9.95558i | − | 0.646685i | ||||||
\(238\) | −0.434264 | − | 0.341287i | −0.0281491 | − | 0.0221224i | ||||
\(239\) | −11.0671 | −0.715873 | −0.357937 | − | 0.933746i | \(-0.616520\pi\) | ||||
−0.357937 | + | 0.933746i | \(0.616520\pi\) | |||||||
\(240\) | −8.57738 | − | 2.53547i | −0.553667 | − | 0.163664i | ||||
\(241\) | −23.4743 | −1.51211 | −0.756056 | − | 0.654507i | \(-0.772876\pi\) | ||||
−0.756056 | + | 0.654507i | \(0.772876\pi\) | |||||||
\(242\) | 10.9818 | + | 8.63054i | 0.705934 | + | 0.554792i | ||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | 12.0887 | + | 7.35799i | 0.773899 | + | 0.471047i | ||||
\(245\) | 11.2281 | + | 10.7721i | 0.717338 | + | 0.688207i | ||||
\(246\) | −1.50835 | + | 1.91927i | −0.0961690 | + | 0.122368i | ||||
\(247\) | −14.0035 | + | 14.0035i | −0.891021 | + | 0.891021i | ||||
\(248\) | 7.74948 | − | 17.0116i | 0.492092 | − | 1.08023i | ||||
\(249\) | 10.0134 | 0.634576 | ||||||||
\(250\) | −15.5517 | + | 2.85379i | −0.983577 | + | 0.180489i | ||||
\(251\) | −1.76187 | + | 1.76187i | −0.111209 | + | 0.111209i | −0.760521 | − | 0.649313i | \(-0.775057\pi\) |
0.649313 | + | 0.760521i | \(0.275057\pi\) | |||||||
\(252\) | 0.347657 | + | 0.211607i | 0.0219003 | + | 0.0133300i | ||||
\(253\) | 1.25532 | 0.0789213 | ||||||||
\(254\) | 9.82092 | − | 1.17738i | 0.616219 | − | 0.0738751i | ||||
\(255\) | 4.29056 | − | 0.0889259i | 0.268685 | − | 0.00556875i | ||||
\(256\) | 9.24801 | − | 13.0566i | 0.578001 | − | 0.816036i | ||||
\(257\) | −4.05693 | + | 4.05693i | −0.253064 | + | 0.253064i | −0.822226 | − | 0.569162i | \(-0.807268\pi\) |
0.569162 | + | 0.822226i | \(0.307268\pi\) | |||||||
\(258\) | −4.63862 | − | 3.64549i | −0.288788 | − | 0.226958i | ||||
\(259\) | −1.44172 | + | 1.44172i | −0.0895842 | + | 0.0895842i | ||||
\(260\) | −12.7292 | − | 7.39077i | −0.789429 | − | 0.458356i | ||||
\(261\) | −2.77462 | − | 2.77462i | −0.171745 | − | 0.171745i | ||||
\(262\) | −25.2816 | + | 3.03087i | −1.56190 | + | 0.187248i | ||||
\(263\) | 22.2576 | + | 22.2576i | 1.37246 | + | 1.37246i | 0.856784 | + | 0.515676i | \(0.172459\pi\) |
0.515676 | + | 0.856784i | \(0.327541\pi\) | |||||||
\(264\) | −1.05041 | − | 2.80815i | −0.0646485 | − | 0.172830i | ||||
\(265\) | −8.15695 | − | 7.82570i | −0.501078 | − | 0.480729i | ||||
\(266\) | 1.36149 | + | 1.06999i | 0.0834781 | + | 0.0656053i | ||||
\(267\) | − | 5.76005i | − | 0.352509i | ||||||
\(268\) | 2.01738 | + | 8.29293i | 0.123231 | + | 0.506571i | ||||
\(269\) | 11.9600 | + | 11.9600i | 0.729217 | + | 0.729217i | 0.970464 | − | 0.241247i | \(-0.0775564\pi\) |
−0.241247 | + | 0.970464i | \(0.577556\pi\) | |||||||
\(270\) | −3.13132 | + | 0.441393i | −0.190566 | + | 0.0268623i | ||||
\(271\) | − | 15.7162i | − | 0.954691i | −0.878716 | − | 0.477346i | \(-0.841599\pi\) | ||
0.878716 | − | 0.477346i | \(-0.158401\pi\) | |||||||
\(272\) | −2.32827 | + | 7.31526i | −0.141172 | + | 0.443553i | ||||
\(273\) | 0.473599 | + | 0.473599i | 0.0286635 | + | 0.0286635i | ||||
\(274\) | 12.0345 | − | 1.44275i | 0.727029 | − | 0.0871595i | ||||
\(275\) | −3.89979 | − | 3.58922i | −0.235166 | − | 0.216438i | ||||
\(276\) | 2.02319 | + | 1.23145i | 0.121782 | + | 0.0741245i | ||||
\(277\) | 4.59363 | 0.276004 | 0.138002 | − | 0.990432i | \(-0.455932\pi\) | ||||
0.138002 | + | 0.990432i | \(0.455932\pi\) | |||||||
\(278\) | −20.5613 | + | 2.46498i | −1.23319 | + | 0.147840i | ||||
\(279\) | − | 6.60915i | − | 0.395680i | ||||||
\(280\) | −0.509157 | + | 1.18203i | −0.0304280 | + | 0.0706397i | ||||
\(281\) | 20.5117i | 1.22363i | 0.791002 | + | 0.611814i | \(0.209560\pi\) | ||||
−0.791002 | + | 0.611814i | \(0.790440\pi\) | |||||||
\(282\) | 2.03426 | + | 16.9685i | 0.121139 | + | 1.01046i | ||||
\(283\) | −28.8990 | −1.71787 | −0.858933 | − | 0.512088i | \(-0.828872\pi\) | ||||
−0.858933 | + | 0.512088i | \(0.828872\pi\) | |||||||
\(284\) | −6.24544 | − | 25.6734i | −0.370599 | − | 1.52344i | ||||
\(285\) | −13.4516 | + | 0.278797i | −0.796804 | + | 0.0165145i | ||||
\(286\) | −0.587302 | − | 4.89890i | −0.0347279 | − | 0.289678i | ||||
\(287\) | 0.248372 | + | 0.248372i | 0.0146610 | + | 0.0146610i | ||||
\(288\) | 1.06181 | − | 5.55631i | 0.0625677 | − | 0.327409i | ||||
\(289\) | 13.3166i | 0.783332i | ||||||||
\(290\) | 7.46353 | − | 9.91293i | 0.438274 | − | 0.582107i | ||||
\(291\) | 11.7668 | + | 11.7668i | 0.689784 | + | 0.689784i | ||||
\(292\) | −28.2411 | − | 17.1895i | −1.65269 | − | 1.00594i | ||||
\(293\) | 8.86723i | 0.518029i | 0.965873 | + | 0.259014i | \(0.0833977\pi\) | ||||
−0.965873 | + | 0.259014i | \(0.916602\pi\) | |||||||
\(294\) | −6.08082 | + | 7.73741i | −0.354641 | + | 0.451255i | ||||
\(295\) | −9.74521 | + | 0.201978i | −0.567388 | + | 0.0117596i | ||||
\(296\) | 25.7892 | + | 11.7481i | 1.49897 | + | 0.682843i | ||||
\(297\) | −0.749545 | − | 0.749545i | −0.0434930 | − | 0.0434930i | ||||
\(298\) | 0.115463 | + | 0.963122i | 0.00668861 | + | 0.0557921i | ||||
\(299\) | 2.75611 | + | 2.75611i | 0.159390 | + | 0.159390i | ||||
\(300\) | −2.76429 | − | 9.61034i | −0.159596 | − | 0.554854i | ||||
\(301\) | −0.600283 | + | 0.600283i | −0.0345997 | + | 0.0345997i | ||||
\(302\) | 5.65650 | − | 7.19749i | 0.325495 | − | 0.414169i | ||||
\(303\) | 1.29314 | − | 1.29314i | 0.0742890 | − | 0.0742890i | ||||
\(304\) | 7.29950 | − | 22.9345i | 0.418655 | − | 1.31538i | ||||
\(305\) | 0.327862 | + | 15.8189i | 0.0187733 | + | 0.905789i | ||||
\(306\) | 0.323074 | + | 2.69488i | 0.0184689 | + | 0.154056i | ||||
\(307\) | 14.1518 | 0.807684 | 0.403842 | − | 0.914829i | \(-0.367675\pi\) | ||||
0.403842 | + | 0.914829i | \(0.367675\pi\) | |||||||
\(308\) | −0.419194 | + | 0.101975i | −0.0238858 | + | 0.00581058i | ||||
\(309\) | 11.2892 | − | 11.2892i | 0.642222 | − | 0.642222i | ||||
\(310\) | 20.6954 | − | 2.91723i | 1.17542 | − | 0.165688i | ||||
\(311\) | 7.15165 | 0.405533 | 0.202766 | − | 0.979227i | \(-0.435007\pi\) | ||||
0.202766 | + | 0.979227i | \(0.435007\pi\) | |||||||
\(312\) | 3.85919 | − | 8.47164i | 0.218484 | − | 0.479612i | ||||
\(313\) | 5.98016 | − | 5.98016i | 0.338019 | − | 0.338019i | −0.517602 | − | 0.855621i | \(-0.673175\pi\) |
0.855621 | + | 0.517602i | \(0.173175\pi\) | |||||||
\(314\) | 13.0610 | + | 10.2646i | 0.737072 | + | 0.579264i | ||||
\(315\) | 0.00942893 | + | 0.454934i | 0.000531260 | + | 0.0256326i | ||||
\(316\) | 4.70644 | + | 19.3469i | 0.264758 | + | 1.08835i | ||||
\(317\) | − | 7.76996i | − | 0.436404i | −0.975904 | − | 0.218202i | \(-0.929981\pi\) | ||
0.975904 | − | 0.218202i | \(-0.0700192\pi\) | |||||||
\(318\) | 4.41757 | − | 5.62104i | 0.247725 | − | 0.315212i | ||||
\(319\) | 4.15941 | 0.232882 | ||||||||
\(320\) | 17.8673 | + | 0.872350i | 0.998810 | + | 0.0487659i | ||||
\(321\) | 1.39451 | 0.0778338 | ||||||||
\(322\) | 0.210591 | − | 0.267962i | 0.0117358 | − | 0.0149329i | ||||
\(323\) | 11.5479i | 0.642544i | ||||||||
\(324\) | −0.472743 | − | 1.94333i | −0.0262635 | − | 0.107963i | ||||
\(325\) | −0.681863 | − | 16.4424i | −0.0378229 | − | 0.912063i | ||||
\(326\) | 2.08088 | + | 1.63536i | 0.115249 | + | 0.0905744i | ||||
\(327\) | −4.55325 | + | 4.55325i | −0.251795 | + | 0.251795i | ||||
\(328\) | 2.02390 | − | 4.44283i | 0.111751 | − | 0.245314i | ||||
\(329\) | 2.45915 | 0.135577 | ||||||||
\(330\) | 2.01622 | − | 2.67791i | 0.110989 | − | 0.147414i | ||||
\(331\) | −0.751395 | + | 0.751395i | −0.0413004 | + | 0.0413004i | −0.727455 | − | 0.686155i | \(-0.759297\pi\) |
0.686155 | + | 0.727455i | \(0.259297\pi\) | |||||||
\(332\) | −19.4594 | + | 4.73379i | −1.06797 | + | 0.259800i | ||||
\(333\) | 10.0194 | 0.549057 | ||||||||
\(334\) | −1.14246 | − | 9.52970i | −0.0625127 | − | 0.521442i | ||||
\(335\) | −6.60607 | + | 6.88570i | −0.360928 | + | 0.376206i | ||||
\(336\) | −0.775647 | − | 0.246870i | −0.0423150 | − | 0.0134678i | ||||
\(337\) | −0.379414 | + | 0.379414i | −0.0206680 | + | 0.0206680i | −0.717365 | − | 0.696697i | \(-0.754652\pi\) |
0.696697 | + | 0.717365i | \(0.254652\pi\) | |||||||
\(338\) | −1.89386 | + | 2.40981i | −0.103013 | + | 0.131076i | ||||
\(339\) | 11.4501 | − | 11.4501i | 0.621886 | − | 0.621886i | ||||
\(340\) | −8.29592 | + | 2.20115i | −0.449909 | + | 0.119374i | ||||
\(341\) | 4.95386 | + | 4.95386i | 0.268266 | + | 0.268266i | ||||
\(342\) | −1.01289 | − | 8.44886i | −0.0547707 | − | 0.456862i | ||||
\(343\) | 2.00855 | + | 2.00855i | 0.108452 | + | 0.108452i | ||||
\(344\) | 10.7377 | + | 4.89149i | 0.578939 | + | 0.263731i | ||||
\(345\) | 0.0548716 | + | 2.64749i | 0.00295419 | + | 0.142536i | ||||
\(346\) | 11.2244 | − | 14.2822i | 0.603427 | − | 0.767818i | ||||
\(347\) | − | 16.7455i | − | 0.898947i | −0.893294 | − | 0.449473i | \(-0.851612\pi\) | ||
0.893294 | − | 0.449473i | \(-0.148388\pi\) | |||||||
\(348\) | 6.70368 | + | 4.08031i | 0.359355 | + | 0.218728i | ||||
\(349\) | −21.0019 | − | 21.0019i | −1.12421 | − | 1.12421i | −0.991102 | − | 0.133104i | \(-0.957506\pi\) |
−0.133104 | − | 0.991102i | \(-0.542494\pi\) | |||||||
\(350\) | −1.42038 | + | 0.230330i | −0.0759226 | + | 0.0123116i | ||||
\(351\) | − | 3.29132i | − | 0.175677i | ||||||
\(352\) | 3.36883 | + | 4.96058i | 0.179559 | + | 0.264400i | ||||
\(353\) | −9.02933 | − | 9.02933i | −0.480583 | − | 0.480583i | 0.424735 | − | 0.905318i | \(-0.360367\pi\) |
−0.905318 | + | 0.424735i | \(0.860367\pi\) | |||||||
\(354\) | −0.733801 | − | 6.12090i | −0.0390011 | − | 0.325322i | ||||
\(355\) | 20.4512 | − | 21.3169i | 1.08544 | − | 1.13138i | ||||
\(356\) | 2.72302 | + | 11.1936i | 0.144320 | + | 0.593262i | ||||
\(357\) | 0.390552 | 0.0206702 | ||||||||
\(358\) | −0.827965 | − | 6.90636i | −0.0437593 | − | 0.365012i | ||||
\(359\) | − | 12.2651i | − | 0.647326i | −0.946172 | − | 0.323663i | \(-0.895086\pi\) | ||
0.946172 | − | 0.323663i | \(-0.104914\pi\) | |||||||
\(360\) | 5.87651 | − | 2.33808i | 0.309719 | − | 0.123228i | ||||
\(361\) | − | 17.2046i | − | 0.905506i | ||||||
\(362\) | 32.4050 | − | 3.88486i | 1.70317 | − | 0.204184i | ||||
\(363\) | −9.87636 | −0.518375 | ||||||||
\(364\) | −1.14425 | − | 0.696467i | −0.0599749 | − | 0.0365048i | ||||
\(365\) | −0.765938 | − | 36.9555i | −0.0400910 | − | 1.93434i | ||||
\(366\) | −9.93577 | + | 1.19114i | −0.519351 | + | 0.0622621i | ||||
\(367\) | 1.25485 | + | 1.25485i | 0.0655025 | + | 0.0655025i | 0.739099 | − | 0.673597i | \(-0.235251\pi\) |
−0.673597 | + | 0.739099i | \(0.735251\pi\) | |||||||
\(368\) | −4.51387 | − | 1.43666i | −0.235302 | − | 0.0748909i | ||||
\(369\) | − | 1.72608i | − | 0.0898563i | ||||||
\(370\) | 4.42247 | + | 31.3738i | 0.229913 | + | 1.63105i | ||||
\(371\) | −0.727417 | − | 0.727417i | −0.0377656 | − | 0.0377656i | ||||
\(372\) | 3.12443 | + | 12.8437i | 0.161994 | + | 0.665917i | ||||
\(373\) | 8.25732i | 0.427548i | 0.976883 | + | 0.213774i | \(0.0685756\pi\) | ||||
−0.976883 | + | 0.213774i | \(0.931424\pi\) | |||||||
\(374\) | −2.26209 | − | 1.77777i | −0.116970 | − | 0.0919264i | ||||
\(375\) | 7.39925 | − | 8.38159i | 0.382096 | − | 0.432824i | ||||
\(376\) | −11.9750 | − | 32.0137i | −0.617563 | − | 1.65098i | ||||
\(377\) | 9.13216 | + | 9.13216i | 0.470330 | + | 0.470330i | ||||
\(378\) | −0.285741 | + | 0.0342559i | −0.0146969 | + | 0.00176193i | ||||
\(379\) | −1.03027 | − | 1.03027i | −0.0529214 | − | 0.0529214i | 0.680151 | − | 0.733072i | \(-0.261914\pi\) |
−0.733072 | + | 0.680151i | \(0.761914\pi\) | |||||||
\(380\) | 26.0090 | − | 6.90094i | 1.33423 | − | 0.354011i | ||||
\(381\) | −4.94562 | + | 4.94562i | −0.253372 | + | 0.253372i | ||||
\(382\) | −23.9601 | − | 18.8302i | −1.22590 | − | 0.963436i | ||||
\(383\) | −12.3374 | + | 12.3374i | −0.630413 | + | 0.630413i | −0.948172 | − | 0.317759i | \(-0.897070\pi\) |
0.317759 | + | 0.948172i | \(0.397070\pi\) | |||||||
\(384\) | 0.563267 | + | 11.2997i | 0.0287441 | + | 0.576634i | ||||
\(385\) | −0.348061 | − | 0.333926i | −0.0177388 | − | 0.0170184i | ||||
\(386\) | 22.4713 | − | 2.69396i | 1.14376 | − | 0.137119i | ||||
\(387\) | 4.17171 | 0.212060 | ||||||||
\(388\) | −28.4295 | − | 17.3041i | −1.44329 | − | 0.878483i | ||||
\(389\) | 12.8354 | − | 12.8354i | 0.650781 | − | 0.650781i | −0.302400 | − | 0.953181i | \(-0.597788\pi\) |
0.953181 | + | 0.302400i | \(0.0977880\pi\) | |||||||
\(390\) | 10.3062 | − | 1.45276i | 0.521873 | − | 0.0735635i | ||||
\(391\) | 2.27282 | 0.114941 | ||||||||
\(392\) | 8.15920 | − | 17.9110i | 0.412102 | − | 0.904641i | ||||
\(393\) | 12.7313 | − | 12.7313i | 0.642211 | − | 0.642211i | ||||
\(394\) | −20.3704 | + | 25.9199i | −1.02625 | + | 1.30583i | ||||
\(395\) | −15.4116 | + | 16.0640i | −0.775442 | + | 0.808266i | ||||
\(396\) | 1.81095 | + | 1.10227i | 0.0910038 | + | 0.0553910i | ||||
\(397\) | − | 14.3934i | − | 0.722383i | −0.932492 | − | 0.361191i | \(-0.882370\pi\) | ||
0.932492 | − | 0.361191i | \(-0.117630\pi\) | |||||||
\(398\) | −2.39054 | − | 1.87872i | −0.119827 | − | 0.0941718i | ||||
\(399\) | −1.22444 | −0.0612988 | ||||||||
\(400\) | 9.91513 | + | 17.3692i | 0.495757 | + | 0.868461i | ||||
\(401\) | −37.4272 | −1.86902 | −0.934512 | − | 0.355932i | \(-0.884164\pi\) | ||||
−0.934512 | + | 0.355932i | \(0.884164\pi\) | |||||||
\(402\) | −4.74501 | − | 3.72909i | −0.236659 | − | 0.185990i | ||||
\(403\) | 21.7528i | 1.08358i | ||||||||
\(404\) | −1.90167 | + | 3.12432i | −0.0946116 | + | 0.155440i | ||||
\(405\) | 1.54804 | − | 1.61356i | 0.0769225 | − | 0.0801786i | ||||
\(406\) | 0.697777 | − | 0.887871i | 0.0346301 | − | 0.0440643i | ||||
\(407\) | −7.50996 | + | 7.50996i | −0.372255 | + | 0.372255i | ||||
\(408\) | −1.90182 | − | 5.08429i | −0.0941542 | − | 0.251710i | ||||
\(409\) | −8.19166 | −0.405052 | −0.202526 | − | 0.979277i | \(-0.564915\pi\) | ||||
−0.202526 | + | 0.979277i | \(0.564915\pi\) | |||||||
\(410\) | 5.40492 | − | 0.761881i | 0.266930 | − | 0.0376266i | ||||
\(411\) | −6.06032 | + | 6.06032i | −0.298934 | + | 0.298934i | ||||
\(412\) | −16.6018 | + | 27.2756i | −0.817910 | + | 1.34377i | ||||
\(413\) | −0.887066 | −0.0436497 | ||||||||
\(414\) | −1.66287 | + | 0.199352i | −0.0817256 | + | 0.00979762i | ||||
\(415\) | −16.1573 | − | 15.5012i | −0.793131 | − | 0.760922i | ||||
\(416\) | −3.49475 | + | 18.2876i | −0.171344 | + | 0.896621i | ||||
\(417\) | 10.3543 | − | 10.3543i | 0.507051 | − | 0.507051i | ||||
\(418\) | 7.09201 | + | 5.57360i | 0.346881 | + | 0.272614i | ||||
\(419\) | 22.2183 | − | 22.2183i | 1.08544 | − | 1.08544i | 0.0894455 | − | 0.995992i | \(-0.471491\pi\) |
0.995992 | − | 0.0894455i | \(-0.0285095\pi\) | |||||||
\(420\) | −0.233390 | − | 0.879627i | −0.0113883 | − | 0.0429214i | ||||
\(421\) | −2.75098 | − | 2.75098i | −0.134074 | − | 0.134074i | 0.636885 | − | 0.770959i | \(-0.280223\pi\) |
−0.770959 | + | 0.636885i | \(0.780223\pi\) | |||||||
\(422\) | 12.4562 | − | 1.49331i | 0.606359 | − | 0.0726930i | ||||
\(423\) | −8.54502 | − | 8.54502i | −0.415473 | − | 0.415473i | ||||
\(424\) | −5.92746 | + | 13.0119i | −0.287863 | + | 0.631913i | ||||
\(425\) | −7.06075 | − | 6.49845i | −0.342497 | − | 0.315221i | ||||
\(426\) | 14.6897 | + | 11.5446i | 0.711717 | + | 0.559337i | ||||
\(427\) | 1.43993i | 0.0696832i | ||||||||
\(428\) | −2.70998 | + | 0.659244i | −0.130992 | + | 0.0318658i | ||||
\(429\) | 2.46699 | + | 2.46699i | 0.119107 | + | 0.119107i | ||||
\(430\) | 1.84136 | + | 13.0630i | 0.0887985 | + | 0.629952i | ||||
\(431\) | − | 5.32770i | − | 0.256626i | −0.991734 | − | 0.128313i | \(-0.959044\pi\) | ||
0.991734 | − | 0.128313i | \(-0.0409563\pi\) | |||||||
\(432\) | 1.83739 | + | 3.55303i | 0.0884014 | + | 0.170945i | ||||
\(433\) | −3.38866 | − | 3.38866i | −0.162849 | − | 0.162849i | 0.620979 | − | 0.783827i | \(-0.286735\pi\) |
−0.783827 | + | 0.620979i | \(0.786735\pi\) | |||||||
\(434\) | 1.88851 | − | 0.226403i | 0.0906513 | − | 0.0108677i | ||||
\(435\) | 0.181813 | + | 8.77224i | 0.00871726 | + | 0.420597i | ||||
\(436\) | 6.69593 | − | 11.0010i | 0.320677 | − | 0.526851i | ||||
\(437\) | −7.12564 | −0.340866 | ||||||||
\(438\) | 23.2115 | − | 2.78270i | 1.10909 | − | 0.132963i | ||||
\(439\) | − | 5.99801i | − | 0.286269i | −0.989703 | − | 0.143135i | \(-0.954282\pi\) | ||
0.989703 | − | 0.143135i | \(-0.0457182\pi\) | |||||||
\(440\) | −2.65221 | + | 6.15721i | −0.126439 | + | 0.293533i | ||||
\(441\) | − | 6.95859i | − | 0.331361i | ||||||
\(442\) | −1.06334 | − | 8.86968i | −0.0505778 | − | 0.421888i | ||||
\(443\) | −13.3394 | −0.633773 | −0.316887 | − | 0.948463i | \(-0.602637\pi\) | ||||
−0.316887 | + | 0.948463i | \(0.602637\pi\) | |||||||
\(444\) | −19.4709 | + | 4.73658i | −0.924047 | + | 0.224788i | ||||
\(445\) | −8.91676 | + | 9.29420i | −0.422695 | + | 0.440587i | ||||
\(446\) | −1.19034 | − | 9.92908i | −0.0563643 | − | 0.470156i | ||||
\(447\) | −0.485009 | − | 0.485009i | −0.0229401 | − | 0.0229401i | ||||
\(448\) | 1.62404 | + | 0.113066i | 0.0767287 | + | 0.00534188i | ||||
\(449\) | 29.7201i | 1.40258i | 0.712877 | + | 0.701289i | \(0.247392\pi\) | ||||
−0.712877 | + | 0.701289i | \(0.752608\pi\) | |||||||
\(450\) | 5.73588 | + | 4.13518i | 0.270392 | + | 0.194934i | ||||
\(451\) | 1.29378 | + | 1.29378i | 0.0609216 | + | 0.0609216i | ||||
\(452\) | −16.8384 | + | 27.6643i | −0.792010 | + | 1.30122i | ||||
\(453\) | 6.47302i | 0.304129i | ||||||||
\(454\) | −19.7168 | + | 25.0883i | −0.925356 | + | 1.17745i | ||||
\(455\) | −0.0310336 | − | 1.49733i | −0.00145488 | − | 0.0701960i | ||||
\(456\) | 5.96251 | + | 15.9401i | 0.279220 | + | 0.746462i | ||||
\(457\) | 13.8443 | + | 13.8443i | 0.647611 | + | 0.647611i | 0.952415 | − | 0.304804i | \(-0.0985910\pi\) |
−0.304804 | + | 0.952415i | \(0.598591\pi\) | |||||||
\(458\) | −1.62769 | − | 13.5772i | −0.0760571 | − | 0.634420i | ||||
\(459\) | −1.35709 | − | 1.35709i | −0.0633433 | − | 0.0633433i | ||||
\(460\) | −1.35821 | − | 5.11899i | −0.0633271 | − | 0.238674i | ||||
\(461\) | 23.8766 | − | 23.8766i | 1.11205 | − | 1.11205i | 0.119172 | − | 0.992874i | \(-0.461976\pi\) |
0.992874 | − | 0.119172i | \(-0.0380240\pi\) | |||||||
\(462\) | 0.188500 | − | 0.239852i | 0.00876979 | − | 0.0111589i | ||||
\(463\) | 10.5750 | − | 10.5750i | 0.491463 | − | 0.491463i | −0.417304 | − | 0.908767i | \(-0.637025\pi\) |
0.908767 | + | 0.417304i | \(0.137025\pi\) | |||||||
\(464\) | −14.9564 | − | 4.76025i | −0.694332 | − | 0.220989i | ||||
\(465\) | −10.2312 | + | 10.6643i | −0.474461 | + | 0.494544i | ||||
\(466\) | 0.740126 | + | 6.17366i | 0.0342857 | + | 0.285989i | ||||
\(467\) | 30.0161 | 1.38898 | 0.694491 | − | 0.719502i | \(-0.255630\pi\) | ||||
0.694491 | + | 0.719502i | \(0.255630\pi\) | |||||||
\(468\) | 1.55595 | + | 6.39610i | 0.0719237 | + | 0.295660i | ||||
\(469\) | −0.614050 | + | 0.614050i | −0.0283542 | + | 0.0283542i | ||||
\(470\) | 22.9855 | − | 30.5289i | 1.06024 | − | 1.40819i | ||||
\(471\) | −11.7463 | −0.541240 | ||||||||
\(472\) | 4.31963 | + | 11.5480i | 0.198827 | + | 0.531540i | ||||
\(473\) | −3.12689 | + | 3.12689i | −0.143774 | + | 0.143774i | ||||
\(474\) | −11.0698 | − | 8.69977i | −0.508455 | − | 0.399594i | ||||
\(475\) | 22.1366 | + | 20.3737i | 1.01570 | + | 0.934809i | ||||
\(476\) | −0.758970 | + | 0.184631i | −0.0347873 | + | 0.00846254i | ||||
\(477\) | 5.05524i | 0.231464i | ||||||||
\(478\) | −9.67111 | + | 12.3058i | −0.442346 | + | 0.562854i | ||||
\(479\) | −21.9152 | −1.00133 | −0.500665 | − | 0.865641i | \(-0.666911\pi\) | ||||
−0.500665 | + | 0.865641i | \(0.666911\pi\) | |||||||
\(480\) | −10.3147 | + | 7.32173i | −0.470798 | + | 0.334190i | ||||
\(481\) | −32.9769 | −1.50362 | ||||||||
\(482\) | −20.5132 | + | 26.1016i | −0.934351 | + | 1.18890i | ||||
\(483\) | 0.240990i | 0.0109654i | ||||||||
\(484\) | 19.1930 | − | 4.66899i | 0.872409 | − | 0.212227i | ||||
\(485\) | −0.771047 | − | 37.2020i | −0.0350114 | − | 1.68926i | ||||
\(486\) | 1.11192 | + | 0.873858i | 0.0504378 | + | 0.0396390i | ||||
\(487\) | −5.66360 | + | 5.66360i | −0.256642 | + | 0.256642i | −0.823687 | − | 0.567045i | \(-0.808087\pi\) |
0.567045 | + | 0.823687i | \(0.308087\pi\) | |||||||
\(488\) | 18.7453 | − | 7.01185i | 0.848561 | − | 0.317411i | ||||
\(489\) | −1.87143 | −0.0846289 | ||||||||
\(490\) | 21.7896 | − | 3.07147i | 0.984353 | − | 0.138755i | ||||
\(491\) | −25.4744 | + | 25.4744i | −1.14964 | + | 1.14964i | −0.163018 | + | 0.986623i | \(0.552123\pi\) |
−0.986623 | + | 0.163018i | \(0.947877\pi\) | |||||||
\(492\) | 0.815994 | + | 3.35434i | 0.0367879 | + | 0.151225i | ||||
\(493\) | 7.53080 | 0.339170 | ||||||||
\(494\) | 3.33373 | + | 27.8079i | 0.149992 | + | 1.25114i | ||||
\(495\) | 0.0491155 | + | 2.36976i | 0.00220758 | + | 0.106513i | ||||
\(496\) | −12.1436 | − | 23.4825i | −0.545263 | − | 1.05440i | ||||
\(497\) | 1.90099 | − | 1.90099i | 0.0852709 | − | 0.0852709i | ||||
\(498\) | 8.75033 | − | 11.1342i | 0.392112 | − | 0.498934i | ||||
\(499\) | −18.8209 | + | 18.8209i | −0.842537 | + | 0.842537i | −0.989188 | − | 0.146651i | \(-0.953151\pi\) |
0.146651 | + | 0.989188i | \(0.453151\pi\) | |||||||
\(500\) | −10.4168 | + | 19.7861i | −0.465854 | + | 0.884862i | ||||
\(501\) | 4.79897 | + | 4.79897i | 0.214402 | + | 0.214402i | ||||
\(502\) | 0.419439 | + | 3.49870i | 0.0187205 | + | 0.156154i | ||||
\(503\) | 7.85721 | + | 7.85721i | 0.350336 | + | 0.350336i | 0.860234 | − | 0.509899i | \(-0.170317\pi\) |
−0.509899 | + | 0.860234i | \(0.670317\pi\) | |||||||
\(504\) | 0.539094 | − | 0.201653i | 0.0240132 | − | 0.00898232i | ||||
\(505\) | −4.08839 | + | 0.0847357i | −0.181931 | + | 0.00377069i | ||||
\(506\) | 1.09697 | − | 1.39582i | 0.0487664 | − | 0.0620517i | ||||
\(507\) | − | 2.16724i | − | 0.0962507i | ||||||
\(508\) | 7.27294 | − | 11.9490i | 0.322685 | − | 0.530149i | ||||
\(509\) | 10.1248 | + | 10.1248i | 0.448776 | + | 0.448776i | 0.894948 | − | 0.446171i | \(-0.147213\pi\) |
−0.446171 | + | 0.894948i | \(0.647213\pi\) | |||||||
\(510\) | 3.65046 | − | 4.84848i | 0.161645 | − | 0.214694i | ||||
\(511\) | − | 3.36391i | − | 0.148811i | ||||||
\(512\) | −6.43646 | − | 21.6927i | −0.284454 | − | 0.958690i | ||||
\(513\) | 4.25468 | + | 4.25468i | 0.187849 | + | 0.187849i | ||||
\(514\) | 0.965809 | + | 8.05617i | 0.0426000 | + | 0.355342i | ||||
\(515\) | −35.6920 | + | 0.739751i | −1.57278 | + | 0.0325973i | ||||
\(516\) | −8.10699 | + | 1.97215i | −0.356891 | + | 0.0868190i | ||||
\(517\) | 12.8097 | 0.563372 | ||||||||
\(518\) | 0.343222 | + | 2.86294i | 0.0150803 | + | 0.125791i | ||||
\(519\) | 12.8446i | 0.563817i | ||||||||
\(520\) | −19.3414 | + | 7.69536i | −0.848179 | + | 0.337464i | ||||
\(521\) | − | 37.3503i | − | 1.63634i | −0.574973 | − | 0.818172i | \(-0.694987\pi\) | ||
0.574973 | − | 0.818172i | \(-0.305013\pi\) | |||||||
\(522\) | −5.50979 | + | 0.660538i | −0.241157 | + | 0.0289110i | ||||
\(523\) | 8.27258 | 0.361735 | 0.180867 | − | 0.983507i | \(-0.442110\pi\) | ||||
0.180867 | + | 0.983507i | \(0.442110\pi\) | |||||||
\(524\) | −18.7225 | + | 30.7598i | −0.817895 | + | 1.34375i | ||||
\(525\) | 0.689040 | − | 0.748661i | 0.0300722 | − | 0.0326742i | ||||
\(526\) | 44.1986 | − | 5.29873i | 1.92715 | − | 0.231035i | ||||
\(527\) | 8.96919 | + | 8.96919i | 0.390704 | + | 0.390704i | ||||
\(528\) | −4.04036 | − | 1.28595i | −0.175834 | − | 0.0559637i | ||||
\(529\) | − | 21.5976i | − | 0.939024i | ||||||
\(530\) | −15.8296 | + | 2.23135i | −0.687594 | + | 0.0969236i | ||||
\(531\) | 3.08237 | + | 3.08237i | 0.133763 | + | 0.133763i | ||||
\(532\) | 2.37949 | − | 0.578847i | 0.103164 | − | 0.0250962i | ||||
\(533\) | 5.68108i | 0.246075i | ||||||||
\(534\) | −6.40473 | − | 5.03346i | −0.277160 | − | 0.217819i | ||||
\(535\) | −2.25012 | − | 2.15875i | −0.0972814 | − | 0.0933308i | ||||
\(536\) | 10.9840 | + | 5.00367i | 0.474436 | + | 0.216126i | ||||
\(537\) | 3.47791 | + | 3.47791i | 0.150083 | + | 0.150083i | ||||
\(538\) | 23.7500 | − | 2.84726i | 1.02394 | − | 0.122754i | ||||
\(539\) | 5.21578 | + | 5.21578i | 0.224659 | + | 0.224659i | ||||
\(540\) | −2.24554 | + | 3.86750i | −0.0966325 | + | 0.166431i | ||||
\(541\) | 11.1960 | − | 11.1960i | 0.481352 | − | 0.481352i | −0.424211 | − | 0.905563i | \(-0.639449\pi\) |
0.905563 | + | 0.424211i | \(0.139449\pi\) | |||||||
\(542\) | −17.4752 | − | 13.7337i | −0.750624 | − | 0.589914i | ||||
\(543\) | −16.3185 | + | 16.3185i | −0.700295 | + | 0.700295i | ||||
\(544\) | 6.09942 | + | 8.98135i | 0.261511 | + | 0.385072i | ||||
\(545\) | 14.3956 | − | 0.298361i | 0.616638 | − | 0.0127804i | ||||
\(546\) | 0.940464 | − | 0.112747i | 0.0402482 | − | 0.00482513i | ||||
\(547\) | 26.6966 | 1.14147 | 0.570733 | − | 0.821136i | \(-0.306659\pi\) | ||||
0.570733 | + | 0.821136i | \(0.306659\pi\) | |||||||
\(548\) | 8.91220 | − | 14.6422i | 0.380710 | − | 0.625482i | ||||
\(549\) | 5.00346 | − | 5.00346i | 0.213542 | − | 0.213542i | ||||
\(550\) | −7.39880 | + | 1.19979i | −0.315486 | + | 0.0511593i | ||||
\(551\) | −23.6103 | −1.00583 | ||||||||
\(552\) | 3.13725 | − | 1.17352i | 0.133530 | − | 0.0499482i | ||||
\(553\) | −1.43255 | + | 1.43255i | −0.0609180 | + | 0.0609180i | ||||
\(554\) | 4.01418 | − | 5.10776i | 0.170546 | − | 0.217008i | ||||
\(555\) | −16.1669 | − | 15.5103i | −0.686245 | − | 0.658377i | ||||
\(556\) | −15.2268 | + | 25.0167i | −0.645761 | + | 1.06094i | ||||
\(557\) | 0.715510i | 0.0303171i | 0.999885 | + | 0.0151586i | \(0.00482531\pi\) | ||||
−0.999885 | + | 0.0151586i | \(0.995175\pi\) | |||||||
\(558\) | −7.34887 | − | 5.77546i | −0.311102 | − | 0.244495i | ||||
\(559\) | −13.7304 | −0.580735 | ||||||||
\(560\) | 0.869392 | + | 1.59907i | 0.0367385 | + | 0.0675730i | ||||
\(561\) | 2.03439 | 0.0858922 | ||||||||
\(562\) | 22.8075 | + | 17.9244i | 0.962075 | + | 0.756093i | ||||
\(563\) | 16.6892i | 0.703364i | 0.936119 | + | 0.351682i | \(0.114390\pi\) | ||||
−0.936119 | + | 0.351682i | \(0.885610\pi\) | |||||||
\(564\) | 20.6453 | + | 12.5661i | 0.869326 | + | 0.529130i | ||||
\(565\) | −36.2007 | + | 0.750294i | −1.52298 | + | 0.0315651i | ||||
\(566\) | −25.2536 | + | 32.1334i | −1.06149 | + | 1.35067i | ||||
\(567\) | 0.143894 | − | 0.143894i | 0.00604297 | − | 0.00604297i | ||||
\(568\) | −34.0044 | − | 15.4905i | −1.42679 | − | 0.649965i | ||||
\(569\) | 23.0249 | 0.965253 | 0.482626 | − | 0.875826i | \(-0.339683\pi\) | ||||
0.482626 | + | 0.875826i | \(0.339683\pi\) | |||||||
\(570\) | −11.4448 | + | 15.2008i | −0.479369 | + | 0.636690i | ||||
\(571\) | −7.65518 | + | 7.65518i | −0.320359 | + | 0.320359i | −0.848905 | − | 0.528546i | \(-0.822738\pi\) |
0.528546 | + | 0.848905i | \(0.322738\pi\) | |||||||
\(572\) | −5.96041 | − | 3.62791i | −0.249217 | − | 0.151691i | ||||
\(573\) | 21.5483 | 0.900194 | ||||||||
\(574\) | 0.493213 | − | 0.0591286i | 0.0205863 | − | 0.00246798i | ||||
\(575\) | 4.00986 | − | 4.35683i | 0.167223 | − | 0.181692i | ||||
\(576\) | −5.25031 | − | 6.03608i | −0.218763 | − | 0.251503i | ||||
\(577\) | 22.0343 | − | 22.0343i | 0.917298 | − | 0.917298i | −0.0795337 | − | 0.996832i | \(-0.525343\pi\) |
0.996832 | + | 0.0795337i | \(0.0253431\pi\) | |||||||
\(578\) | 14.8071 | + | 11.6369i | 0.615893 | + | 0.484029i | ||||
\(579\) | −11.3161 | + | 11.3161i | −0.470282 | + | 0.470282i | ||||
\(580\) | −4.50034 | − | 16.9614i | −0.186866 | − | 0.704283i | ||||
\(581\) | −1.44087 | − | 1.44087i | −0.0597774 | − | 0.0597774i | ||||
\(582\) | 23.3664 | − | 2.80126i | 0.968567 | − | 0.116116i | ||||
\(583\) | −3.78913 | − | 3.78913i | −0.156930 | − | 0.156930i | ||||
\(584\) | −43.7921 | + | 16.3808i | −1.81213 | + | 0.677842i | ||||
\(585\) | −5.09507 | + | 5.31074i | −0.210655 | + | 0.219572i | ||||
\(586\) | 9.85967 | + | 7.74870i | 0.407299 | + | 0.320096i | ||||
\(587\) | − | 22.5696i | − | 0.931547i | −0.884904 | − | 0.465773i | \(-0.845776\pi\) | ||
0.884904 | − | 0.465773i | \(-0.154224\pi\) | |||||||
\(588\) | 3.28963 | + | 13.5228i | 0.135662 | + | 0.557671i | ||||
\(589\) | −28.1198 | − | 28.1198i | −1.15866 | − | 1.15866i | ||||
\(590\) | −8.29134 | + | 11.0124i | −0.341349 | + | 0.453374i | ||||
\(591\) | − | 23.3109i | − | 0.958883i | ||||||
\(592\) | 35.5990 | − | 18.4094i | 1.46311 | − | 0.756624i | ||||
\(593\) | −26.4172 | − | 26.4172i | −1.08482 | − | 1.08482i | −0.996052 | − | 0.0887706i | \(-0.971706\pi\) |
−0.0887706 | − | 0.996052i | \(-0.528294\pi\) | |||||||
\(594\) | −1.48843 | + | 0.178440i | −0.0610711 | + | 0.00732148i | ||||
\(595\) | −0.630180 | − | 0.604589i | −0.0258349 | − | 0.0247857i | ||||
\(596\) | 1.17182 | + | 0.713246i | 0.0479994 | + | 0.0292157i | ||||
\(597\) | 2.14992 | 0.0879902 | ||||||||
\(598\) | 5.47303 | − | 0.656131i | 0.223809 | − | 0.0268312i | ||||
\(599\) | − | 17.4693i | − | 0.713775i | −0.934147 | − | 0.356888i | \(-0.883838\pi\) | ||
0.934147 | − | 0.356888i | \(-0.116162\pi\) | |||||||
\(600\) | −13.1016 | − | 5.32441i | −0.534869 | − | 0.217368i | ||||
\(601\) | 25.8843i | 1.05584i | 0.849294 | + | 0.527921i | \(0.177028\pi\) | ||||
−0.849294 | + | 0.527921i | \(0.822972\pi\) | |||||||
\(602\) | 0.142906 | + | 1.19203i | 0.00582441 | + | 0.0485835i | ||||
\(603\) | 4.26739 | 0.173782 | ||||||||
\(604\) | −3.06008 | − | 12.5792i | −0.124513 | − | 0.511839i | ||||
\(605\) | 15.9361 | + | 15.2890i | 0.647896 | + | 0.621585i | ||||
\(606\) | −0.307850 | − | 2.56789i | −0.0125056 | − | 0.104314i | ||||
\(607\) | 22.7204 | + | 22.7204i | 0.922193 | + | 0.922193i | 0.997184 | − | 0.0749912i | \(-0.0238929\pi\) |
−0.0749912 | + | 0.997184i | \(0.523893\pi\) | |||||||
\(608\) | −19.1227 | − | 28.1580i | −0.775526 | − | 1.14196i | ||||
\(609\) | 0.798501i | 0.0323569i | ||||||||
\(610\) | 17.8759 | + | 13.4589i | 0.723775 | + | 0.544937i | ||||
\(611\) | 28.1243 | + | 28.1243i | 1.13779 | + | 1.13779i | ||||
\(612\) | 3.27881 | + | 1.99571i | 0.132538 | + | 0.0806716i | ||||
\(613\) | − | 0.840532i | − | 0.0339488i | −0.999856 | − | 0.0169744i | \(-0.994597\pi\) | ||
0.999856 | − | 0.0169744i | \(-0.00540337\pi\) | |||||||
\(614\) | 12.3666 | − | 15.7357i | 0.499077 | − | 0.635040i | ||||
\(615\) | −2.67204 | + | 2.78514i | −0.107747 | + | 0.112308i | ||||
\(616\) | −0.252927 | + | 0.555223i | −0.0101907 | + | 0.0223706i | ||||
\(617\) | −7.18912 | − | 7.18912i | −0.289423 | − | 0.289423i | 0.547429 | − | 0.836852i | \(-0.315607\pi\) |
−0.836852 | + | 0.547429i | \(0.815607\pi\) | |||||||
\(618\) | −2.68756 | − | 22.4180i | −0.108110 | − | 0.901782i | ||||
\(619\) | 31.9741 | + | 31.9741i | 1.28515 | + | 1.28515i | 0.937700 | + | 0.347447i | \(0.112951\pi\) |
0.347447 | + | 0.937700i | \(0.387049\pi\) | |||||||
\(620\) | 14.8411 | − | 25.5609i | 0.596033 | − | 1.02655i | ||||
\(621\) | 0.837388 | − | 0.837388i | 0.0336032 | − | 0.0336032i | ||||
\(622\) | 6.24953 | − | 7.95208i | 0.250583 | − | 0.318849i | ||||
\(623\) | −0.828834 | + | 0.828834i | −0.0332065 | + | 0.0332065i | ||||
\(624\) | −6.04742 | − | 11.6941i | −0.242091 | − | 0.468140i | ||||
\(625\) | −24.9142 | + | 2.06992i | −0.996566 | + | 0.0827970i | ||||
\(626\) | −1.42366 | − | 11.8753i | −0.0569010 | − | 0.474632i | ||||
\(627\) | −6.37815 | −0.254719 | ||||||||
\(628\) | 22.8269 | − | 5.55298i | 0.910891 | − | 0.221588i | ||||
\(629\) | −13.5971 | + | 13.5971i | −0.542153 | + | 0.542153i | ||||
\(630\) | 0.514091 | + | 0.387064i | 0.0204819 | + | 0.0154210i | ||||
\(631\) | 28.2004 | 1.12264 | 0.561320 | − | 0.827599i | \(-0.310294\pi\) | ||||
0.561320 | + | 0.827599i | \(0.310294\pi\) | |||||||
\(632\) | 25.6251 | + | 11.6733i | 1.01931 | + | 0.464339i | ||||
\(633\) | −6.27270 | + | 6.27270i | −0.249317 | + | 0.249317i | ||||
\(634\) | −8.63959 | − | 6.78984i | −0.343122 | − | 0.269659i | ||||
\(635\) | 15.6361 | − | 0.324072i | 0.620498 | − | 0.0128604i | ||||
\(636\) | −2.38983 | − | 9.82398i | −0.0947630 | − | 0.389546i | ||||
\(637\) | 22.9029i | 0.907446i | ||||||||
\(638\) | 3.63473 | − | 4.62494i | 0.143900 | − | 0.183103i | ||||
\(639\) | −13.2111 | −0.522621 | ||||||||
\(640\) | 16.5834 | − | 19.1047i | 0.655518 | − | 0.755180i | ||||
\(641\) | 36.6103 | 1.44602 | 0.723011 | − | 0.690837i | \(-0.242758\pi\) | ||||
0.723011 | + | 0.690837i | \(0.242758\pi\) | |||||||
\(642\) | 1.21860 | − | 1.55058i | 0.0480944 | − | 0.0611967i | ||||
\(643\) | 13.4647i | 0.530996i | 0.964111 | + | 0.265498i | \(0.0855364\pi\) | ||||
−0.964111 | + | 0.265498i | \(0.914464\pi\) | |||||||
\(644\) | −0.113926 | − | 0.468321i | −0.00448932 | − | 0.0184544i | ||||
\(645\) | −6.73132 | − | 6.45796i | −0.265045 | − | 0.254282i | ||||
\(646\) | 12.8404 | + | 10.0913i | 0.505199 | + | 0.397035i | ||||
\(647\) | 23.4382 | − | 23.4382i | 0.921451 | − | 0.921451i | −0.0756812 | − | 0.997132i | \(-0.524113\pi\) |
0.997132 | + | 0.0756812i | \(0.0241131\pi\) | |||||||
\(648\) | −2.57394 | − | 1.17254i | −0.101114 | − | 0.0460616i | ||||
\(649\) | −4.62075 | −0.181380 | ||||||||
\(650\) | −18.8786 | − | 13.6102i | −0.740479 | − | 0.533835i | ||||
\(651\) | −0.951015 | + | 0.951015i | −0.0372732 | + | 0.0372732i | ||||
\(652\) | 3.63680 | − | 0.884706i | 0.142428 | − | 0.0346477i | ||||
\(653\) | 15.0338 | 0.588318 | 0.294159 | − | 0.955756i | \(-0.404960\pi\) | ||||
0.294159 | + | 0.955756i | \(0.404960\pi\) | |||||||
\(654\) | 1.08397 | + | 9.04176i | 0.0423865 | + | 0.353561i | ||||
\(655\) | −40.2514 | + | 0.834247i | −1.57275 | + | 0.0325967i | ||||
\(656\) | −3.17148 | − | 6.13282i | −0.123826 | − | 0.239446i | ||||
\(657\) | −11.6889 | + | 11.6889i | −0.456027 | + | 0.456027i | ||||
\(658\) | 2.14895 | − | 2.73438i | 0.0837746 | − | 0.106597i | ||||
\(659\) | 12.8233 | − | 12.8233i | 0.499524 | − | 0.499524i | −0.411766 | − | 0.911290i | \(-0.635088\pi\) |
0.911290 | + | 0.411766i | \(0.135088\pi\) | |||||||
\(660\) | −1.21574 | − | 4.58200i | −0.0473225 | − | 0.178354i | ||||
\(661\) | 22.6599 | + | 22.6599i | 0.881369 | + | 0.881369i | 0.993674 | − | 0.112305i | \(-0.0358232\pi\) |
−0.112305 | + | 0.993674i | \(0.535823\pi\) | |||||||
\(662\) | 0.178880 | + | 1.49211i | 0.00695238 | + | 0.0579923i | ||||
\(663\) | 4.46660 | + | 4.46660i | 0.173468 | + | 0.173468i | ||||
\(664\) | −11.7411 | + | 25.7740i | −0.455644 | + | 1.00022i | ||||
\(665\) | 1.97572 | + | 1.89548i | 0.0766150 | + | 0.0735036i | ||||
\(666\) | 8.75550 | − | 11.1407i | 0.339269 | − | 0.431695i | ||||
\(667\) | 4.64687i | 0.179928i | ||||||||
\(668\) | −11.5946 | − | 7.05727i | −0.448610 | − | 0.273054i | ||||
\(669\) | 5.00009 | + | 5.00009i | 0.193315 | + | 0.193315i | ||||
\(670\) | 1.88360 | + | 13.3626i | 0.0727697 | + | 0.516241i | ||||
\(671\) | 7.50063i | 0.289559i | ||||||||
\(672\) | −0.952305 | + | 0.646730i | −0.0367360 | + | 0.0249481i | ||||
\(673\) | 18.5901 | + | 18.5901i | 0.716595 | + | 0.716595i | 0.967906 | − | 0.251311i | \(-0.0808617\pi\) |
−0.251311 | + | 0.967906i | \(0.580862\pi\) | |||||||
\(674\) | 0.0903249 | + | 0.753433i | 0.00347918 | + | 0.0290211i | ||||
\(675\) | −4.99571 | + | 0.207170i | −0.192285 | + | 0.00797399i | ||||
\(676\) | 1.02455 | + | 4.21166i | 0.0394058 | + | 0.161987i | ||||
\(677\) | 1.52496 | 0.0586089 | 0.0293044 | − | 0.999571i | \(-0.490671\pi\) | ||||
0.0293044 | + | 0.999571i | \(0.490671\pi\) | |||||||
\(678\) | −2.72587 | − | 22.7374i | −0.104686 | − | 0.873226i | ||||
\(679\) | − | 3.38635i | − | 0.129956i | ||||||
\(680\) | −4.80195 | + | 11.1479i | −0.184146 | + | 0.427503i | ||||
\(681\) | − | 22.5630i | − | 0.864614i | ||||||
\(682\) | 9.83728 | − | 1.17934i | 0.376689 | − | 0.0451591i | ||||
\(683\) | 3.77382 | 0.144401 | 0.0722006 | − | 0.997390i | \(-0.476998\pi\) | ||||
0.0722006 | + | 0.997390i | \(0.476998\pi\) | |||||||
\(684\) | −10.2796 | − | 6.25686i | −0.393050 | − | 0.239237i | ||||
\(685\) | 19.1603 | − | 0.397115i | 0.732078 | − | 0.0151730i | ||||
\(686\) | 3.98854 | − | 0.478164i | 0.152283 | − | 0.0182564i | ||||
\(687\) | 6.83720 | + | 6.83720i | 0.260856 | + | 0.260856i | ||||
\(688\) | 14.8222 | − | 7.66505i | 0.565091 | − | 0.292227i | ||||
\(689\) | − | 16.6384i | − | 0.633873i | ||||||
\(690\) | 2.99175 | + | 2.25251i | 0.113894 | + | 0.0857518i | ||||
\(691\) | −15.9624 | − | 15.9624i | −0.607239 | − | 0.607239i | 0.334984 | − | 0.942224i | \(-0.391269\pi\) |
−0.942224 | + | 0.334984i | \(0.891269\pi\) | |||||||
\(692\) | −6.07222 | − | 24.9613i | −0.230831 | − | 0.948887i | ||||
\(693\) | 0.215710i | 0.00819413i | ||||||||
\(694\) | −18.6197 | − | 14.6332i | −0.706795 | − | 0.555469i | ||||
\(695\) | −32.7361 | + | 0.678486i | −1.24175 | + | 0.0257364i | ||||
\(696\) | 10.3951 | − | 3.88836i | 0.394023 | − | 0.147388i | ||||
\(697\) | 2.34244 | + | 2.34244i | 0.0887263 | + | 0.0887263i | ||||
\(698\) | −41.7052 | + | 4.99980i | −1.57856 | + | 0.189245i | ||||
\(699\) | −3.10894 | − | 3.10894i | −0.117591 | − | 0.117591i | ||||
\(700\) | −0.985104 | + | 1.78063i | −0.0372334 | + | 0.0673015i | ||||
\(701\) | −20.1411 | + | 20.1411i | −0.760717 | + | 0.760717i | −0.976452 | − | 0.215735i | \(-0.930785\pi\) |
0.215735 | + | 0.976452i | \(0.430785\pi\) | |||||||
\(702\) | −3.65969 | − | 2.87614i | −0.138126 | − | 0.108553i | ||||
\(703\) | 42.6292 | − | 42.6292i | 1.60779 | − | 1.60779i | ||||
\(704\) | 8.45966 | + | 0.588964i | 0.318835 | + | 0.0221974i | ||||
\(705\) | 0.559930 | + | 27.0159i | 0.0210882 | + | 1.01748i | ||||
\(706\) | −17.9303 | + | 2.14956i | −0.674814 | + | 0.0808997i | ||||
\(707\) | −0.372149 | −0.0139961 | ||||||||
\(708\) | −7.44721 | − | 4.53287i | −0.279883 | − | 0.170356i | ||||
\(709\) | −8.20276 | + | 8.20276i | −0.308061 | + | 0.308061i | −0.844157 | − | 0.536096i | \(-0.819899\pi\) |
0.536096 | + | 0.844157i | \(0.319899\pi\) | |||||||
\(710\) | −5.83127 | − | 41.3681i | −0.218844 | − | 1.55252i | ||||
\(711\) | 9.95558 | 0.373364 | ||||||||
\(712\) | 14.8260 | + | 6.75387i | 0.555628 | + | 0.253112i | ||||
\(713\) | −5.53443 | + | 5.53443i | −0.207266 | + | 0.207266i | ||||
\(714\) | 0.341287 | − | 0.434264i | 0.0127724 | − | 0.0162519i | ||||
\(715\) | −0.161655 | − | 7.79963i | −0.00604554 | − | 0.291690i | ||||
\(716\) | −8.40286 | − | 5.11455i | −0.314030 | − | 0.191140i | ||||
\(717\) | − | 11.0671i | − | 0.413310i | ||||||
\(718\) | −13.6378 | − | 10.7179i | −0.508959 | − | 0.399990i | ||||
\(719\) | 23.6655 | 0.882576 | 0.441288 | − | 0.897366i | \(-0.354522\pi\) | ||||
0.441288 | + | 0.897366i | \(0.354522\pi\) | |||||||
\(720\) | 2.53547 | − | 8.57738i | 0.0944915 | − | 0.319660i | ||||
\(721\) | −3.24890 | −0.120995 | ||||||||
\(722\) | −19.1302 | − | 15.0344i | −0.711952 | − | 0.559522i | ||||
\(723\) | − | 23.4743i | − | 0.873018i | ||||||
\(724\) | 23.9977 | − | 39.4267i | 0.891869 | − | 1.46528i | ||||
\(725\) | 13.2864 | − | 14.4360i | 0.493444 | − | 0.536140i | ||||
\(726\) | −8.63054 | + | 10.9818i | −0.320309 | + | 0.407571i | ||||
\(727\) | −1.68416 | + | 1.68416i | −0.0624622 | + | 0.0624622i | −0.737648 | − | 0.675186i | \(-0.764064\pi\) |
0.675186 | + | 0.737648i | \(0.264064\pi\) | |||||||
\(728\) | −1.77433 | + | 0.663703i | −0.0657610 | + | 0.0245985i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −41.7610 | − | 31.4422i | −1.54564 | − | 1.16373i | ||||
\(731\) | −5.66137 | + | 5.66137i | −0.209393 | + | 0.209393i | ||||
\(732\) | −7.35799 | + | 12.0887i | −0.271959 | + | 0.446811i | ||||
\(733\) | −48.4131 | −1.78818 | −0.894089 | − | 0.447889i | \(-0.852176\pi\) | ||||
−0.894089 | + | 0.447889i | \(0.852176\pi\) | |||||||
\(734\) | 2.49185 | − | 0.298734i | 0.0919759 | − | 0.0110265i | ||||
\(735\) | −10.7721 | + | 11.2281i | −0.397337 | + | 0.414155i | ||||
\(736\) | −5.54193 | + | 3.76364i | −0.204278 | + | 0.138730i | ||||
\(737\) | −3.19860 | + | 3.19860i | −0.117822 | + | 0.117822i | ||||
\(738\) | −1.91927 | − | 1.50835i | −0.0706493 | − | 0.0555232i | ||||
\(739\) | −2.35313 | + | 2.35313i | −0.0865612 | + | 0.0865612i | −0.749062 | − | 0.662500i | \(-0.769495\pi\) |
0.662500 | + | 0.749062i | \(0.269495\pi\) | |||||||
\(740\) | 38.7499 | + | 22.4988i | 1.42447 | + | 0.827073i | ||||
\(741\) | −14.0035 | − | 14.0035i | −0.514431 | − | 0.514431i | ||||
\(742\) | −1.44449 | + | 0.173172i | −0.0530290 | + | 0.00635735i | ||||
\(743\) | 17.6788 | + | 17.6788i | 0.648571 | + | 0.648571i | 0.952648 | − | 0.304076i | \(-0.0983478\pi\) |
−0.304076 | + | 0.952648i | \(0.598348\pi\) | |||||||
\(744\) | 17.0116 | + | 7.74948i | 0.623674 | + | 0.284110i | ||||
\(745\) | 0.0317812 | + | 1.53340i | 0.00116437 | + | 0.0561796i | ||||
\(746\) | 9.18150 | + | 7.21573i | 0.336159 | + | 0.264187i | ||||
\(747\) | 10.0134i | 0.366373i | ||||||||
\(748\) | −3.95349 | + | 0.961746i | −0.144554 | + | 0.0351649i | ||||
\(749\) | −0.200661 | − | 0.200661i | −0.00733198 | − | 0.00733198i | ||||
\(750\) | −2.85379 | − | 15.5517i | −0.104206 | − | 0.567868i | ||||
\(751\) | 40.8647i | 1.49117i | 0.666409 | + | 0.745587i | \(0.267831\pi\) | ||||
−0.666409 | + | 0.745587i | \(0.732169\pi\) | |||||||
\(752\) | −46.0612 | − | 14.6602i | −1.67968 | − | 0.534601i | ||||
\(753\) | −1.76187 | − | 1.76187i | −0.0642063 | − | 0.0642063i | ||||
\(754\) | 18.1345 | − | 2.17404i | 0.660418 | − | 0.0791738i | ||||
\(755\) | 10.0205 | − | 10.4446i | 0.364682 | − | 0.380119i | ||||
\(756\) | −0.211607 | + | 0.347657i | −0.00769609 | + | 0.0126442i | ||||
\(757\) | −24.6892 | −0.897345 | −0.448673 | − | 0.893696i | \(-0.648103\pi\) | ||||
−0.448673 | + | 0.893696i | \(0.648103\pi\) | |||||||
\(758\) | −2.04589 | + | 0.245270i | −0.0743101 | + | 0.00890862i | ||||
\(759\) | 1.25532i | 0.0455652i | ||||||||
\(760\) | 15.0549 | − | 34.9505i | 0.546098 | − | 1.26779i | ||||
\(761\) | − | 6.54343i | − | 0.237199i | −0.992942 | − | 0.118600i | \(-0.962160\pi\) | ||
0.992942 | − | 0.118600i | \(-0.0378405\pi\) | |||||||
\(762\) | 1.17738 | + | 9.82092i | 0.0426518 | + | 0.355774i | ||||
\(763\) | 1.31037 | 0.0474385 | ||||||||
\(764\) | −41.8754 | + | 10.1868i | −1.51500 | + | 0.368546i | ||||
\(765\) | 0.0889259 | + | 4.29056i | 0.00321512 | + | 0.155126i | ||||
\(766\) | 2.93710 | + | 24.4994i | 0.106122 | + | 0.885200i | ||||
\(767\) | −10.1450 | − | 10.1450i | −0.366316 | − | 0.366316i | ||||
\(768\) | 13.0566 | + | 9.24801i | 0.471139 | + | 0.333709i | ||||
\(769\) | 26.2710i | 0.947357i | 0.880698 | + | 0.473678i | \(0.157074\pi\) | ||||
−0.880698 | + | 0.473678i | \(0.842926\pi\) | |||||||
\(770\) | −0.675456 | + | 0.0952127i | −0.0243417 | + | 0.00343123i | ||||
\(771\) | −4.05693 | − | 4.05693i | −0.146107 | − | 0.146107i | ||||
\(772\) | 16.6413 | − | 27.3405i | 0.598933 | − | 0.984007i | ||||
\(773\) | − | 9.19242i | − | 0.330628i | −0.986241 | − | 0.165314i | \(-0.947136\pi\) | ||
0.986241 | − | 0.165314i | \(-0.0528638\pi\) | |||||||
\(774\) | 3.64549 | − | 4.63862i | 0.131034 | − | 0.166732i | ||||
\(775\) | 33.0174 | − | 1.36922i | 1.18602 | − | 0.0491839i | ||||
\(776\) | −44.0842 | + | 16.4901i | −1.58253 | + | 0.591959i | ||||
\(777\) | −1.44172 | − | 1.44172i | −0.0517215 | − | 0.0517215i | ||||
\(778\) | −3.05565 | − | 25.4883i | −0.109550 | − | 0.913800i | ||||
\(779\) | −7.34393 | − | 7.34393i | −0.263124 | − | 0.263124i | ||||
\(780\) | 7.39077 | − | 12.7292i | 0.264632 | − | 0.455777i | ||||
\(781\) | 9.90228 | − | 9.90228i | 0.354332 | − | 0.354332i | ||||
\(782\) | 1.98612 | − | 2.52719i | 0.0710235 | − | 0.0903723i | ||||
\(783\) | 2.77462 | − | 2.77462i | 0.0991569 | − | 0.0991569i | ||||
\(784\) | −12.7856 | − | 24.7241i | −0.456630 | − | 0.883002i | ||||
\(785\) | 18.9534 | + | 18.1837i | 0.676475 | + | 0.649003i | ||||
\(786\) | −3.03087 | − | 25.2816i | −0.108108 | − | 0.901766i | ||||
\(787\) | −20.9534 | −0.746908 | −0.373454 | − | 0.927649i | \(-0.621827\pi\) | ||||
−0.373454 | + | 0.927649i | \(0.621827\pi\) | |||||||
\(788\) | 11.0201 | + | 45.3007i | 0.392574 | + | 1.61377i | ||||
\(789\) | −22.2576 | + | 22.2576i | −0.792390 | + | 0.792390i | ||||
\(790\) | 4.39432 | + | 31.1741i | 0.156343 | + | 1.10913i | ||||
\(791\) | −3.29520 | −0.117164 | ||||||||
\(792\) | 2.80815 | − | 1.05041i | 0.0997833 | − | 0.0373248i | ||||
\(793\) | −16.4680 | + | 16.4680i | −0.584794 | + | 0.584794i | ||||
\(794\) | −16.0043 | − | 12.5778i | −0.567972 | − | 0.446368i | ||||
\(795\) | 7.82570 | − | 8.15695i | 0.277549 | − | 0.289297i | ||||
\(796\) | −4.17799 | + | 1.01636i | −0.148085 | + | 0.0360239i | ||||
\(797\) | 25.5883i | 0.906384i | 0.891413 | + | 0.453192i | \(0.149715\pi\) | ||||
−0.891413 | + | 0.453192i | \(0.850285\pi\) | |||||||
\(798\) | −1.06999 | + | 1.36149i | −0.0378772 | + | 0.0481961i | ||||
\(799\) | 23.1926 | 0.820497 | ||||||||
\(800\) | 27.9777 | + | 4.15338i | 0.989160 | + | 0.146844i | ||||
\(801\) | 5.76005 | 0.203521 | ||||||||
\(802\) | −32.7060 | + | 41.6161i | −1.15489 | + | 1.46952i | ||||
\(803\) | − | 17.5227i | − | 0.618362i | ||||||
\(804\) | −8.29293 | + | 2.01738i | −0.292469 | + | 0.0711475i | ||||
\(805\) | 0.373061 | − | 0.388852i | 0.0131487 | − | 0.0137052i | ||||
\(806\) | 24.1874 | + | 19.0089i | 0.851966 | + | 0.669559i | ||||
\(807\) | −11.9600 | + | 11.9600i | −0.421014 | + | 0.421014i | ||||
\(808\) | 1.81221 | + | 4.84472i | 0.0637532 | + | 0.170437i | ||||
\(809\) | 4.93002 | 0.173330 | 0.0866652 | − | 0.996237i | \(-0.472379\pi\) | ||||
0.0866652 | + | 0.996237i | \(0.472379\pi\) | |||||||
\(810\) | −0.441393 | − | 3.13132i | −0.0155090 | − | 0.110023i | ||||
\(811\) | 35.3133 | − | 35.3133i | 1.24002 | − | 1.24002i | 0.280025 | − | 0.959993i | \(-0.409657\pi\) |
0.959993 | − | 0.280025i | \(-0.0903426\pi\) | |||||||
\(812\) | −0.377486 | − | 1.55175i | −0.0132472 | − | 0.0544557i | ||||
\(813\) | 15.7162 | 0.551191 | ||||||||
\(814\) | 1.78785 | + | 14.9131i | 0.0626642 | + | 0.522705i | ||||
\(815\) | 3.01967 | + | 2.89704i | 0.105774 | + | 0.101479i | ||||
\(816\) | −7.31526 | − | 2.32827i | −0.256085 | − | 0.0815057i | ||||
\(817\) | 17.7493 | − | 17.7493i | 0.620970 | − | 0.620970i | ||||
\(818\) | −7.15835 | + | 9.10849i | −0.250286 | + | 0.318471i | ||||
\(819\) | −0.473599 | + | 0.473599i | −0.0165489 | + | 0.0165489i | ||||
\(820\) | 3.87598 | − | 6.67563i | 0.135355 | − | 0.233123i | ||||
\(821\) | 36.2490 | + | 36.2490i | 1.26510 | + | 1.26510i | 0.948589 | + | 0.316509i | \(0.102511\pi\) |
0.316509 | + | 0.948589i | \(0.397489\pi\) | |||||||
\(822\) | 1.44275 | + | 12.0345i | 0.0503215 | + | 0.419750i | ||||
\(823\) | 23.0235 | + | 23.0235i | 0.802548 | + | 0.802548i | 0.983493 | − | 0.180945i | \(-0.0579156\pi\) |
−0.180945 | + | 0.983493i | \(0.557916\pi\) | |||||||
\(824\) | 15.8208 | + | 42.2949i | 0.551142 | + | 1.47341i | ||||
\(825\) | 3.58922 | − | 3.89979i | 0.124961 | − | 0.135773i | ||||
\(826\) | −0.775170 | + | 0.986349i | −0.0269716 | + | 0.0343195i | ||||
\(827\) | − | 44.8863i | − | 1.56085i | −0.625250 | − | 0.780424i | \(-0.715003\pi\) | ||
0.625250 | − | 0.780424i | \(-0.284997\pi\) | |||||||
\(828\) | −1.23145 | + | 2.02319i | −0.0427958 | + | 0.0703106i | ||||
\(829\) | −7.27338 | − | 7.27338i | −0.252615 | − | 0.252615i | 0.569427 | − | 0.822042i | \(-0.307165\pi\) |
−0.822042 | + | 0.569427i | \(0.807165\pi\) | |||||||
\(830\) | −31.3553 | + | 4.41986i | −1.08836 | + | 0.153416i | ||||
\(831\) | 4.59363i | 0.159351i | ||||||||
\(832\) | 17.2804 | + | 19.8666i | 0.599091 | + | 0.688751i | ||||
\(833\) | 9.44340 | + | 9.44340i | 0.327195 | + | 0.327195i | ||||
\(834\) | −2.46498 | − | 20.5613i | −0.0853554 | − | 0.711981i | ||||
\(835\) | −0.314462 | − | 15.1724i | −0.0108824 | − | 0.525063i | ||||
\(836\) | 12.3948 | − | 3.01523i | 0.428684 | − | 0.104284i | ||||
\(837\) | 6.60915 | 0.228446 | ||||||||
\(838\) | −5.28939 | − | 44.1208i | −0.182719 | − | 1.52413i | ||||
\(839\) | − | 6.23853i | − | 0.215378i | −0.994185 | − | 0.107689i | \(-0.965655\pi\) | ||
0.994185 | − | 0.107689i | \(-0.0343451\pi\) | |||||||
\(840\) | −1.18203 | − | 0.509157i | −0.0407838 | − | 0.0175676i | ||||
\(841\) | − | 13.6029i | − | 0.469067i | ||||||
\(842\) | −5.46283 | + | 0.654909i | −0.188262 | + | 0.0225696i | ||||
\(843\) | −20.5117 | −0.706462 | ||||||||
\(844\) | 9.22452 | − | 15.1553i | 0.317521 | − | 0.521666i | ||||
\(845\) | −3.35497 | + | 3.49699i | −0.115415 | + | 0.120300i | ||||
\(846\) | −16.9685 | + | 2.03426i | −0.583390 | + | 0.0699394i | ||||
\(847\) | 1.42115 | + | 1.42115i | 0.0488312 | + | 0.0488312i | ||||
\(848\) | 9.28845 | + | 17.9614i | 0.318967 | + | 0.616798i | ||||
\(849\) | − | 28.8990i | − | 0.991811i | ||||||
\(850\) | −13.3959 | + | 2.17228i | −0.459475 | + | 0.0745085i | ||||
\(851\) | −8.39009 | − | 8.39009i | −0.287609 | − | 0.287609i | ||||
\(852\) | 25.6734 | − | 6.24544i | 0.879556 | − | 0.213965i | ||||
\(853\) | 32.1759i | 1.10168i | 0.834610 | + | 0.550841i | \(0.185693\pi\) | ||||
−0.834610 | + | 0.550841i | \(0.814307\pi\) | |||||||
\(854\) | 1.60109 | + | 1.25830i | 0.0547882 | + | 0.0430580i | ||||
\(855\) | −0.278797 | − | 13.4516i | −0.00953465 | − | 0.460035i | ||||
\(856\) | −1.63511 | + | 3.58937i | −0.0558869 | + | 0.122682i | ||||
\(857\) | 11.0467 | + | 11.0467i | 0.377348 | + | 0.377348i | 0.870145 | − | 0.492797i | \(-0.164025\pi\) |
−0.492797 | + | 0.870145i | \(0.664025\pi\) | |||||||
\(858\) | 4.89890 | − | 0.587302i | 0.167246 | − | 0.0200502i | ||||
\(859\) | 1.75107 | + | 1.75107i | 0.0597457 | + | 0.0597457i | 0.736348 | − | 0.676603i | \(-0.236548\pi\) |
−0.676603 | + | 0.736348i | \(0.736548\pi\) | |||||||
\(860\) | 16.1341 | + | 9.36773i | 0.550168 | + | 0.319437i | ||||
\(861\) | −0.248372 | + | 0.248372i | −0.00846451 | + | 0.00846451i | ||||
\(862\) | −5.92399 | − | 4.65566i | −0.201772 | − | 0.158572i | ||||
\(863\) | 4.70982 | − | 4.70982i | 0.160324 | − | 0.160324i | −0.622386 | − | 0.782710i | \(-0.713837\pi\) |
0.782710 | + | 0.622386i | \(0.213837\pi\) | |||||||
\(864\) | 5.55631 | + | 1.06181i | 0.189029 | + | 0.0361235i | ||||
\(865\) | 19.8840 | − | 20.7256i | 0.676075 | − | 0.704693i | ||||
\(866\) | −6.72913 | + | 0.806718i | −0.228665 | + | 0.0274134i | ||||
\(867\) | −13.3166 | −0.452257 | ||||||||
\(868\) | 1.39855 | − | 2.29772i | 0.0474697 | − | 0.0779896i | ||||
\(869\) | −7.46216 | + | 7.46216i | −0.253136 | + | 0.253136i | ||||
\(870\) | 9.91293 | + | 7.46353i | 0.336080 | + | 0.253038i | ||||
\(871\) | −14.0453 | −0.475908 | ||||||||
\(872\) | −6.38093 | − | 17.0587i | −0.216086 | − | 0.577679i | ||||
\(873\) | −11.7668 | + | 11.7668i | −0.398247 | + | 0.398247i | ||||
\(874\) | −6.22680 | + | 7.92316i | −0.210625 | + | 0.268005i | ||||
\(875\) | −2.27076 | + | 0.141353i | −0.0767658 | + | 0.00477860i | ||||
\(876\) | 17.1895 | − | 28.2411i | 0.580778 | − | 0.954179i | ||||
\(877\) | 16.7655i | 0.566130i | 0.959101 | + | 0.283065i | \(0.0913512\pi\) | ||||
−0.959101 | + | 0.283065i | \(0.908649\pi\) | |||||||
\(878\) | −6.66932 | − | 5.24141i | −0.225079 | − | 0.176889i | ||||
\(879\) | −8.86723 | −0.299084 | ||||||||
\(880\) | 4.52868 | + | 8.32958i | 0.152662 | + | 0.280790i | ||||
\(881\) | 50.5390 | 1.70270 | 0.851352 | − | 0.524595i | \(-0.175783\pi\) | ||||
0.851352 | + | 0.524595i | \(0.175783\pi\) | |||||||
\(882\) | −7.73741 | − | 6.08082i | −0.260532 | − | 0.204752i | ||||
\(883\) | − | 27.3039i | − | 0.918848i | −0.888217 | − | 0.459424i | \(-0.848056\pi\) | ||
0.888217 | − | 0.459424i | \(-0.151944\pi\) | |||||||
\(884\) | −10.7916 | − | 6.56850i | −0.362961 | − | 0.220922i | ||||
\(885\) | −0.201978 | − | 9.74521i | −0.00678943 | − | 0.327582i | ||||
\(886\) | −11.6567 | + | 14.8324i | −0.391615 | + | 0.498303i | ||||
\(887\) | −2.95052 | + | 2.95052i | −0.0990688 | + | 0.0990688i | −0.754904 | − | 0.655835i | \(-0.772317\pi\) |
0.655835 | + | 0.754904i | \(0.272317\pi\) | |||||||
\(888\) | −11.7481 | + | 25.7892i | −0.394239 | + | 0.865429i | ||||
\(889\) | 1.42329 | 0.0477355 | ||||||||
\(890\) | 2.54244 | + | 18.0366i | 0.0852229 | + | 0.604587i | ||||
\(891\) | 0.749545 | − | 0.749545i | 0.0251107 | − | 0.0251107i | ||||
\(892\) | −12.0806 | − | 7.35304i | −0.404487 | − | 0.246198i | ||||
\(893\) | −72.7126 | −2.43324 | ||||||||
\(894\) | −0.963122 | + | 0.115463i | −0.0322116 | + | 0.00386167i | ||||
\(895\) | −0.227897 | − | 10.9957i | −0.00761776 | − | 0.367547i | ||||
\(896\) | 1.54490 | − | 1.70700i | 0.0516115 | − | 0.0570269i | ||||
\(897\) | −2.75611 | + | 2.75611i | −0.0920238 | + | 0.0920238i | ||||
\(898\) | 33.0464 | + | 25.9711i | 1.10277 | + | 0.866668i | ||||
\(899\) | −18.3379 | + | 18.3379i | −0.611603 | + | 0.611603i | ||||
\(900\) | 9.61034 | − | 2.76429i | 0.320345 | − | 0.0921429i | ||||
\(901\) | −6.86040 | − | 6.86040i | −0.228553 | − | 0.228553i | ||||
\(902\) | 2.56916 | − | 0.308002i | 0.0855436 | − | 0.0102553i | ||||
\(903\) | −0.600283 | − | 0.600283i | −0.0199762 | − | 0.0199762i | ||||
\(904\) | 16.0462 | + | 42.8976i | 0.533689 | + | 1.42675i | ||||
\(905\) | 51.5926 | − | 1.06931i | 1.71500 | − | 0.0355449i | ||||
\(906\) | 7.19749 | + | 5.65650i | 0.239121 | + | 0.187925i | ||||
\(907\) | 0.0410041i | 0.00136152i | 1.00000 | 0.000680760i | \(0.000216693\pi\) | |||||
−1.00000 | 0.000680760i | \(0.999783\pi\) | ||||||||
\(908\) | 10.6665 | + | 43.8472i | 0.353980 | + | 1.45512i | ||||
\(909\) | 1.29314 | + | 1.29314i | 0.0428907 | + | 0.0428907i | ||||
\(910\) | −1.69204 | − | 1.27395i | −0.0560904 | − | 0.0422310i | ||||
\(911\) | − | 21.7776i | − | 0.721525i | −0.932658 | − | 0.360763i | \(-0.882516\pi\) | ||
0.932658 | − | 0.360763i | \(-0.117484\pi\) | |||||||
\(912\) | 22.9345 | + | 7.29950i | 0.759437 | + | 0.241711i | ||||
\(913\) | −7.50552 | − | 7.50552i | −0.248397 | − | 0.248397i | ||||
\(914\) | 27.4918 | − | 3.29584i | 0.909349 | − | 0.109017i | ||||
\(915\) | −15.8189 | + | 0.327862i | −0.522957 | + | 0.0108388i | ||||
\(916\) | −16.5191 | − | 10.0547i | −0.545808 | − | 0.332216i | ||||
\(917\) | −3.66392 | −0.120993 | ||||||||
\(918\) | −2.69488 | + | 0.323074i | −0.0889441 | + | 0.0106630i | ||||
\(919\) | 34.4842i | 1.13753i | 0.822500 | + | 0.568765i | \(0.192579\pi\) | ||||
−0.822500 | + | 0.568765i | \(0.807421\pi\) | |||||||
\(920\) | −6.87880 | − | 2.96304i | −0.226787 | − | 0.0976885i | ||||
\(921\) | 14.1518i | 0.466317i | ||||||||
\(922\) | −5.68417 | − | 47.4138i | −0.187198 | − | 1.56149i | ||||
\(923\) | 43.4818 | 1.43122 | ||||||||
\(924\) | −0.101975 | − | 0.419194i | −0.00335474 | − | 0.0137905i | ||||
\(925\) | 2.07571 | + | 50.0538i | 0.0682490 | + | 1.64576i | ||||
\(926\) | −2.51754 | − | 20.9997i | −0.0827314 | − | 0.690093i | ||||
\(927\) | 11.2892 | + | 11.2892i | 0.370787 | + | 0.370787i | ||||
\(928\) | −18.3628 | + | 12.4705i | −0.602788 | + | 0.409365i | ||||
\(929\) | − | 19.8125i | − | 0.650028i | −0.945709 | − | 0.325014i | \(-0.894631\pi\) | ||
0.945709 | − | 0.325014i | \(-0.105369\pi\) | |||||||
\(930\) | 2.91723 | + | 20.6954i | 0.0956599 | + | 0.678628i | ||||
\(931\) | −29.6066 | − | 29.6066i | −0.970316 | − | 0.970316i | ||||
\(932\) | 7.51140 | + | 4.57194i | 0.246044 | + | 0.149759i | ||||
\(933\) | 7.15165i | 0.234134i | ||||||||
\(934\) | 26.2299 | − | 33.3756i | 0.858267 | − | 1.09208i | ||||
\(935\) | −3.28262 | − | 3.14931i | −0.107353 | − | 0.102994i | ||||
\(936\) | 8.47164 | + | 3.85919i | 0.276904 | + | 0.126142i | ||||
\(937\) | −20.7731 | − | 20.7731i | −0.678628 | − | 0.678628i | 0.281062 | − | 0.959690i | \(-0.409313\pi\) |
−0.959690 | + | 0.281062i | \(0.909313\pi\) | |||||||
\(938\) | 0.146183 | + | 1.21937i | 0.00477306 | + | 0.0398138i | ||||
\(939\) | 5.98016 | + | 5.98016i | 0.195155 | + | 0.195155i | ||||
\(940\) | −13.8597 | − | 52.2360i | −0.452054 | − | 1.70375i | ||||
\(941\) | −24.6412 | + | 24.6412i | −0.803279 | + | 0.803279i | −0.983607 | − | 0.180328i | \(-0.942284\pi\) |
0.180328 | + | 0.983607i | \(0.442284\pi\) | |||||||
\(942\) | −10.2646 | + | 13.0610i | −0.334438 | + | 0.425549i | ||||
\(943\) | −1.44540 | + | 1.44540i | −0.0470687 | + | 0.0470687i | ||||
\(944\) | 16.6152 | + | 5.28823i | 0.540780 | + | 0.172117i | ||||
\(945\) | −0.454934 | + | 0.00942893i | −0.0147990 | + | 0.000306723i | ||||
\(946\) | 0.744400 | + | 6.20931i | 0.0242025 | + | 0.201882i | ||||
\(947\) | −46.1706 | −1.50034 | −0.750171 | − | 0.661244i | \(-0.770029\pi\) | ||||
−0.750171 | + | 0.661244i | \(0.770029\pi\) | |||||||
\(948\) | −19.3469 | + | 4.70644i | −0.628359 | + | 0.152858i | ||||
\(949\) | 38.4718 | − | 38.4718i | 1.24885 | − | 1.24885i | ||||
\(950\) | 41.9982 | − | 6.81044i | 1.36260 | − | 0.220960i | ||||
\(951\) | 7.76996 | 0.251958 | ||||||||
\(952\) | −0.457937 | + | 1.00526i | −0.0148418 | + | 0.0325806i | ||||
\(953\) | −5.45044 | + | 5.45044i | −0.176557 | + | 0.176557i | −0.789853 | − | 0.613296i | \(-0.789843\pi\) |
0.613296 | + | 0.789853i | \(0.289843\pi\) | |||||||
\(954\) | 5.62104 | + | 4.41757i | 0.181988 | + | 0.143024i | ||||
\(955\) | −34.7696 | − | 33.3576i | −1.12512 | − | 1.07943i | ||||
\(956\) | 5.23191 | + | 21.5070i | 0.169212 | + | 0.695588i | ||||
\(957\) | 4.15941i | 0.134455i | ||||||||
\(958\) | −19.1508 | + | 24.3680i | −0.618733 | + | 0.787294i | ||||
\(959\) | 1.74408 | 0.0563194 | ||||||||
\(960\) | −0.872350 | + | 17.8673i | −0.0281550 | + | 0.576663i | ||||
\(961\) | −12.6809 | −0.409062 | ||||||||
\(962\) | −28.8171 | + | 36.6677i | −0.929101 | + | 1.18221i | ||||
\(963\) | 1.39451i | 0.0449374i | ||||||||
\(964\) | 11.0973 | + | 45.6182i | 0.357420 | + | 1.46926i | ||||
\(965\) | 35.7770 | − | 0.741512i | 1.15170 | − | 0.0238701i | ||||
\(966\) | 0.267962 | + | 0.210591i | 0.00862153 | + | 0.00677565i | ||||
\(967\) | −18.1852 | + | 18.1852i | −0.584798 | + | 0.584798i | −0.936218 | − | 0.351420i | \(-0.885699\pi\) |
0.351420 | + | 0.936218i | \(0.385699\pi\) | |||||||
\(968\) | 11.5804 | − | 25.4211i | 0.372208 | − | 0.817067i | ||||
\(969\) | −11.5479 | −0.370973 | ||||||||
\(970\) | −42.0396 | − | 31.6520i | −1.34981 | − | 1.01628i | ||||
\(971\) | −11.6265 | + | 11.6265i | −0.373112 | + | 0.373112i | −0.868609 | − | 0.495497i | \(-0.834986\pi\) |
0.495497 | + | 0.868609i | \(0.334986\pi\) | |||||||
\(972\) | 1.94333 | − | 0.472743i | 0.0623322 | − | 0.0151632i | ||||
\(973\) | −2.97983 | −0.0955290 | ||||||||
\(974\) | 1.34830 | + | 11.2467i | 0.0432023 | + | 0.360366i | ||||
\(975\) | 16.4424 | − | 0.681863i | 0.526580 | − | 0.0218371i | ||||
\(976\) | 8.58413 | − | 26.9707i | 0.274771 | − | 0.863311i | ||||
\(977\) | −8.35835 | + | 8.35835i | −0.267407 | + | 0.267407i | −0.828055 | − | 0.560647i | \(-0.810552\pi\) |
0.560647 | + | 0.828055i | \(0.310552\pi\) | |||||||
\(978\) | −1.63536 | + | 2.08088i | −0.0522932 | + | 0.0665393i | ||||
\(979\) | −4.31741 | + | 4.31741i | −0.137985 | + | 0.137985i | ||||
\(980\) | 15.6258 | − | 26.9124i | 0.499147 | − | 0.859684i | ||||
\(981\) | −4.55325 | − | 4.55325i | −0.145374 | − | 0.145374i | ||||
\(982\) | 6.06453 | + | 50.5865i | 0.193527 | + | 1.61428i | ||||
\(983\) | −18.1290 | − | 18.1290i | −0.578226 | − | 0.578226i | 0.356188 | − | 0.934414i | \(-0.384076\pi\) |
−0.934414 | + | 0.356188i | \(0.884076\pi\) | |||||||
\(984\) | 4.44283 | + | 2.02390i | 0.141632 | + | 0.0645194i | ||||
\(985\) | −36.0861 | + | 37.6136i | −1.14980 | + | 1.19847i | ||||
\(986\) | 6.58085 | − | 8.37367i | 0.209577 | − | 0.266672i | ||||
\(987\) | 2.45915i | 0.0782755i | ||||||||
\(988\) | 33.8334 | + | 20.5933i | 1.07638 | + | 0.655160i | ||||
\(989\) | −3.49334 | − | 3.49334i | −0.111082 | − | 0.111082i | ||||
\(990\) | 2.67791 | + | 2.01622i | 0.0851096 | + | 0.0640798i | ||||
\(991\) | 28.8183i | 0.915444i | 0.889095 | + | 0.457722i | \(0.151334\pi\) | ||||
−0.889095 | + | 0.457722i | \(0.848666\pi\) | |||||||
\(992\) | −36.7225 | − | 7.01766i | −1.16594 | − | 0.222811i | ||||
\(993\) | −0.751395 | − | 0.751395i | −0.0238448 | − | 0.0238448i | ||||
\(994\) | −0.452557 | − | 3.77494i | −0.0143542 | − | 0.119734i | ||||
\(995\) | −3.46903 | − | 3.32815i | −0.109975 | − | 0.105509i | ||||
\(996\) | −4.73379 | − | 19.4594i | −0.149996 | − | 0.616594i | ||||
\(997\) | −30.7058 | −0.972463 | −0.486232 | − | 0.873830i | \(-0.661629\pi\) | ||||
−0.486232 | + | 0.873830i | \(0.661629\pi\) | |||||||
\(998\) | 4.48057 | + | 37.3741i | 0.141830 | + | 1.18306i | ||||
\(999\) | 10.0194i | 0.316998i |
(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 | 240.2.bc.e.43.5 | yes | 16 | |
3.2 | odd | 2 | 720.2.bd.f.523.4 | 16 | |||
4.3 | odd | 2 | 960.2.bc.e.463.8 | 16 | |||
5.2 | odd | 4 | 240.2.y.e.187.7 | yes | 16 | ||
8.3 | odd | 2 | 1920.2.bc.j.1183.1 | 16 | |||
8.5 | even | 2 | 1920.2.bc.i.1183.1 | 16 | |||
15.2 | even | 4 | 720.2.z.f.667.2 | 16 | |||
16.3 | odd | 4 | 240.2.y.e.163.7 | ✓ | 16 | ||
16.5 | even | 4 | 1920.2.y.j.223.5 | 16 | |||
16.11 | odd | 4 | 1920.2.y.i.223.5 | 16 | |||
16.13 | even | 4 | 960.2.y.e.943.4 | 16 | |||
20.7 | even | 4 | 960.2.y.e.847.4 | 16 | |||
40.27 | even | 4 | 1920.2.y.j.1567.5 | 16 | |||
40.37 | odd | 4 | 1920.2.y.i.1567.5 | 16 | |||
48.35 | even | 4 | 720.2.z.f.163.2 | 16 | |||
80.27 | even | 4 | 1920.2.bc.i.607.1 | 16 | |||
80.37 | odd | 4 | 1920.2.bc.j.607.1 | 16 | |||
80.67 | even | 4 | inner | 240.2.bc.e.67.5 | yes | 16 | |
80.77 | odd | 4 | 960.2.bc.e.367.8 | 16 | |||
240.227 | odd | 4 | 720.2.bd.f.307.4 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
240.2.y.e.163.7 | ✓ | 16 | 16.3 | odd | 4 | ||
240.2.y.e.187.7 | yes | 16 | 5.2 | odd | 4 | ||
240.2.bc.e.43.5 | yes | 16 | 1.1 | even | 1 | trivial | |
240.2.bc.e.67.5 | yes | 16 | 80.67 | even | 4 | inner | |
720.2.z.f.163.2 | 16 | 48.35 | even | 4 | |||
720.2.z.f.667.2 | 16 | 15.2 | even | 4 | |||
720.2.bd.f.307.4 | 16 | 240.227 | odd | 4 | |||
720.2.bd.f.523.4 | 16 | 3.2 | odd | 2 | |||
960.2.y.e.847.4 | 16 | 20.7 | even | 4 | |||
960.2.y.e.943.4 | 16 | 16.13 | even | 4 | |||
960.2.bc.e.367.8 | 16 | 80.77 | odd | 4 | |||
960.2.bc.e.463.8 | 16 | 4.3 | odd | 2 | |||
1920.2.y.i.223.5 | 16 | 16.11 | odd | 4 | |||
1920.2.y.i.1567.5 | 16 | 40.37 | odd | 4 | |||
1920.2.y.j.223.5 | 16 | 16.5 | even | 4 | |||
1920.2.y.j.1567.5 | 16 | 40.27 | even | 4 | |||
1920.2.bc.i.607.1 | 16 | 80.27 | even | 4 | |||
1920.2.bc.i.1183.1 | 16 | 8.5 | even | 2 | |||
1920.2.bc.j.607.1 | 16 | 80.37 | odd | 4 | |||
1920.2.bc.j.1183.1 | 16 | 8.3 | odd | 2 |