Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [325,2,Mod(101,325)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(325, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("325.101");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 325 = 5^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 325.n (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.59513806569\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{10} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} + 16x^{8} + 84x^{6} + 163x^{4} + 118x^{2} + 27 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 251.5 | ||
Root | \(2.63252i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 325.251 |
Dual form | 325.2.n.f.101.5 |
$q$-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 \(\left(\mathbb{Z}/325\mathbb{Z}\right)^\times\).
\(n\) | \(27\) | \(301\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.27983 | + | 1.31626i | 1.61208 | + | 0.930736i | 0.988887 | + | 0.148670i | \(0.0474992\pi\) |
0.623195 | + | 0.782066i | \(0.285834\pi\) | |||||||
\(3\) | 1.34953 | − | 2.33745i | 0.779149 | − | 1.34953i | −0.153284 | − | 0.988182i | \(-0.548985\pi\) |
0.932433 | − | 0.361343i | \(-0.117682\pi\) | |||||||
\(4\) | 2.46508 | + | 4.26964i | 1.23254 | + | 2.13482i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 6.15337 | − | 3.55265i | 2.51210 | − | 1.45036i | ||||
\(7\) | −2.37354 | + | 1.37037i | −0.897116 | + | 0.517950i | −0.876263 | − | 0.481833i | \(-0.839971\pi\) |
−0.0208523 | + | 0.999783i | \(0.506638\pi\) | |||||||
\(8\) | 7.71370i | 2.72720i | ||||||||
\(9\) | −2.14244 | − | 3.71081i | −0.714146 | − | 1.23694i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.59372 | − | 0.920132i | −0.480523 | − | 0.277430i | 0.240111 | − | 0.970745i | \(-0.422816\pi\) |
−0.720635 | + | 0.693315i | \(0.756149\pi\) | |||||||
\(12\) | 13.3067 | 3.84133 | ||||||||
\(13\) | −3.60247 | − | 0.149035i | −0.999145 | − | 0.0413349i | ||||
\(14\) | −7.21503 | −1.92830 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −5.22307 | + | 9.04662i | −1.30577 | + | 2.26166i | ||||
\(17\) | −1.90847 | − | 3.30556i | −0.462871 | − | 0.801716i | 0.536232 | − | 0.844071i | \(-0.319847\pi\) |
−0.999103 | + | 0.0423549i | \(0.986514\pi\) | |||||||
\(18\) | − | 11.2800i | − | 2.65873i | ||||||
\(19\) | 4.91151 | − | 2.83566i | 1.12678 | − | 0.650545i | 0.183655 | − | 0.982991i | \(-0.441207\pi\) |
0.943123 | + | 0.332445i | \(0.107874\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 7.39738i | 1.61424i | ||||||||
\(22\) | −2.42227 | − | 4.19549i | −0.516429 | − | 0.894481i | ||||
\(23\) | −0.0696968 | + | 0.120718i | −0.0145328 | + | 0.0251715i | −0.873200 | − | 0.487361i | \(-0.837959\pi\) |
0.858668 | + | 0.512533i | \(0.171293\pi\) | |||||||
\(24\) | 18.0304 | + | 10.4098i | 3.68043 | + | 2.12490i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −8.01684 | − | 5.08156i | −1.57223 | − | 0.996576i | ||||
\(27\) | −3.46794 | −0.667406 | ||||||||
\(28\) | −11.7019 | − | 6.75612i | −2.21146 | − | 1.27679i | ||||
\(29\) | −0.583497 | + | 1.01065i | −0.108353 | + | 0.187672i | −0.915103 | − | 0.403220i | \(-0.867891\pi\) |
0.806750 | + | 0.590892i | \(0.201224\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.69034i | 1.02201i | 0.859576 | + | 0.511007i | \(0.170727\pi\) | ||||
−0.859576 | + | 0.511007i | \(0.829273\pi\) | |||||||
\(32\) | −10.4549 | + | 6.03614i | −1.84818 | + | 1.06705i | ||||
\(33\) | −4.30152 | + | 2.48348i | −0.748799 | + | 0.432319i | ||||
\(34\) | − | 10.0481i | − | 1.72324i | ||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 10.5626 | − | 18.2949i | 1.76043 | − | 3.04915i | ||||
\(37\) | 2.13121 | + | 1.23046i | 0.350369 | + | 0.202286i | 0.664848 | − | 0.746979i | \(-0.268496\pi\) |
−0.314479 | + | 0.949265i | \(0.601830\pi\) | |||||||
\(38\) | 14.9299 | 2.42194 | ||||||||
\(39\) | −5.20999 | + | 8.21945i | −0.834265 | + | 1.31617i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 8.01584 | + | 4.62795i | 1.25186 | + | 0.722764i | 0.971479 | − | 0.237124i | \(-0.0762048\pi\) |
0.280384 | + | 0.959888i | \(0.409538\pi\) | |||||||
\(42\) | −9.73687 | + | 16.8648i | −1.50243 | + | 2.60229i | ||||
\(43\) | −1.04872 | − | 1.81644i | −0.159929 | − | 0.277004i | 0.774914 | − | 0.632066i | \(-0.217793\pi\) |
−0.934843 | + | 0.355062i | \(0.884460\pi\) | |||||||
\(44\) | − | 9.07280i | − | 1.36778i | ||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.317794 | + | 0.183478i | −0.0468561 | + | 0.0270524i | ||||
\(47\) | − | 3.66621i | − | 0.534772i | −0.963590 | − | 0.267386i | \(-0.913840\pi\) | ||
0.963590 | − | 0.267386i | \(-0.0861598\pi\) | |||||||
\(48\) | 14.0973 | + | 24.4173i | 2.03477 | + | 3.52433i | ||||
\(49\) | 0.255809 | − | 0.443075i | 0.0365442 | − | 0.0632964i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −10.3021 | −1.44258 | ||||||||
\(52\) | −8.24405 | − | 15.7486i | −1.14324 | − | 2.18394i | ||||
\(53\) | −9.97820 | −1.37061 | −0.685305 | − | 0.728256i | \(-0.740331\pi\) | ||||
−0.685305 | + | 0.728256i | \(0.740331\pi\) | |||||||
\(54\) | −7.90632 | − | 4.56471i | −1.07591 | − | 0.621179i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −10.5706 | − | 18.3088i | −1.41255 | − | 2.44662i | ||||
\(57\) | − | 15.3072i | − | 2.02749i | ||||||
\(58\) | −2.66055 | + | 1.53607i | −0.349347 | + | 0.201696i | ||||
\(59\) | 2.19087 | − | 1.26490i | 0.285227 | − | 0.164676i | −0.350560 | − | 0.936540i | \(-0.614009\pi\) |
0.635787 | + | 0.771864i | \(0.280676\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.17536 | + | 7.23193i | 0.534600 | + | 0.925954i | 0.999183 | + | 0.0404240i | \(0.0128709\pi\) |
−0.464583 | + | 0.885530i | \(0.653796\pi\) | |||||||
\(62\) | −7.48996 | + | 12.9730i | −0.951226 | + | 1.64757i | ||||
\(63\) | 10.1703 | + | 5.87185i | 1.28134 | + | 0.739784i | ||||
\(64\) | −10.8882 | −1.36103 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −13.0756 | −1.60950 | ||||||||
\(67\) | 5.18026 | + | 2.99082i | 0.632869 | + | 0.365387i | 0.781862 | − | 0.623451i | \(-0.214270\pi\) |
−0.148993 | + | 0.988838i | \(0.547603\pi\) | |||||||
\(68\) | 9.40904 | − | 16.2969i | 1.14101 | − | 1.97629i | ||||
\(69\) | 0.188115 | + | 0.325825i | 0.0226464 | + | 0.0392248i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −7.58786 | + | 4.38085i | −0.900513 | + | 0.519912i | −0.877367 | − | 0.479820i | \(-0.840702\pi\) |
−0.0231467 | + | 0.999732i | \(0.507368\pi\) | |||||||
\(72\) | 28.6241 | − | 16.5261i | 3.37338 | − | 1.94762i | ||||
\(73\) | − | 10.7918i | − | 1.26309i | −0.775340 | − | 0.631544i | \(-0.782422\pi\) | ||
0.775340 | − | 0.631544i | \(-0.217578\pi\) | |||||||
\(74\) | 3.23920 | + | 5.61046i | 0.376549 | + | 0.652202i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 24.2145 | + | 13.9803i | 2.77760 | + | 1.60365i | ||||
\(77\) | 5.04367 | 0.574780 | ||||||||
\(78\) | −22.6968 | + | 11.8813i | −2.56991 | + | 1.34529i | ||||
\(79\) | −9.64672 | −1.08534 | −0.542670 | − | 0.839946i | \(-0.682587\pi\) | ||||
−0.542670 | + | 0.839946i | \(0.682587\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.74723 | − | 3.02630i | 0.194137 | − | 0.336255i | ||||
\(82\) | 12.1832 | + | 21.1018i | 1.34540 | + | 2.33031i | ||||
\(83\) | 15.6113i | 1.71356i | 0.515684 | + | 0.856779i | \(0.327538\pi\) | ||||
−0.515684 | + | 0.856779i | \(0.672462\pi\) | |||||||
\(84\) | −31.5842 | + | 18.2351i | −3.44611 | + | 1.98961i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | − | 5.52156i | − | 0.595405i | ||||||
\(87\) | 1.57489 | + | 2.72779i | 0.168846 | + | 0.292450i | ||||
\(88\) | 7.09762 | − | 12.2934i | 0.756609 | − | 1.31049i | ||||
\(89\) | 2.91690 | + | 1.68407i | 0.309190 | + | 0.178511i | 0.646564 | − | 0.762860i | \(-0.276205\pi\) |
−0.337374 | + | 0.941371i | \(0.609539\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 8.75486 | − | 4.58296i | 0.917758 | − | 0.480425i | ||||
\(92\) | −0.687233 | −0.0716490 | ||||||||
\(93\) | 13.3009 | + | 7.67925i | 1.37923 | + | 0.796302i | ||||
\(94\) | 4.82569 | − | 8.35833i | 0.497731 | − | 0.862096i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 32.5837i | 3.32556i | ||||||||
\(97\) | 0.271200 | − | 0.156577i | 0.0275362 | − | 0.0158980i | −0.486169 | − | 0.873865i | \(-0.661606\pi\) |
0.513705 | + | 0.857967i | \(0.328273\pi\) | |||||||
\(98\) | 1.16640 | − | 0.673423i | 0.117824 | − | 0.0680260i | ||||
\(99\) | 7.88531i | 0.792503i | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 7.91794 | − | 13.7143i | 0.787864 | − | 1.36462i | −0.139409 | − | 0.990235i | \(-0.544520\pi\) |
0.927273 | − | 0.374386i | \(-0.122146\pi\) | |||||||
\(102\) | −23.4870 | − | 13.5602i | −2.32556 | − | 1.34266i | ||||
\(103\) | 7.37659 | 0.726837 | 0.363418 | − | 0.931626i | \(-0.381610\pi\) | ||||
0.363418 | + | 0.931626i | \(0.381610\pi\) | |||||||
\(104\) | 1.14961 | − | 27.7884i | 0.112729 | − | 2.72487i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −22.7486 | − | 13.1339i | −2.20954 | − | 1.27568i | ||||
\(107\) | 4.81679 | − | 8.34292i | 0.465656 | − | 0.806540i | −0.533575 | − | 0.845753i | \(-0.679152\pi\) |
0.999231 | + | 0.0392127i | \(0.0124850\pi\) | |||||||
\(108\) | −8.54876 | − | 14.8069i | −0.822604 | − | 1.42479i | ||||
\(109\) | − | 8.73514i | − | 0.836674i | −0.908292 | − | 0.418337i | \(-0.862613\pi\) | ||
0.908292 | − | 0.418337i | \(-0.137387\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 5.75225 | − | 3.32106i | 0.545979 | − | 0.315221i | ||||
\(112\) | − | 28.6301i | − | 2.70529i | ||||||
\(113\) | −9.13443 | − | 15.8213i | −0.859295 | − | 1.48834i | −0.872602 | − | 0.488432i | \(-0.837569\pi\) |
0.0133068 | − | 0.999911i | \(-0.495764\pi\) | |||||||
\(114\) | 20.1482 | − | 34.8978i | 1.88706 | − | 3.26848i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −5.75347 | −0.534196 | ||||||||
\(117\) | 7.16503 | + | 13.6874i | 0.662407 | + | 1.26540i | ||||
\(118\) | 6.65974 | 0.613079 | ||||||||
\(119\) | 9.05966 | + | 5.23060i | 0.830497 | + | 0.479488i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.80671 | − | 6.59342i | −0.346065 | − | 0.599402i | ||||
\(122\) | 21.9834i | 1.99028i | ||||||||
\(123\) | 21.6352 | − | 12.4911i | 1.95078 | − | 1.12628i | ||||
\(124\) | −24.2957 | + | 14.0271i | −2.18182 | + | 1.25967i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 15.4578 | + | 26.7736i | 1.37709 | + | 2.38518i | ||||
\(127\) | −5.56769 | + | 9.64353i | −0.494053 | + | 0.855725i | −0.999977 | − | 0.00685350i | \(-0.997818\pi\) |
0.505924 | + | 0.862578i | \(0.331152\pi\) | |||||||
\(128\) | −3.91346 | − | 2.25944i | −0.345904 | − | 0.199708i | ||||
\(129\) | −5.66111 | −0.498433 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 4.16563 | 0.363953 | 0.181976 | − | 0.983303i | \(-0.441751\pi\) | ||||
0.181976 | + | 0.983303i | \(0.441751\pi\) | |||||||
\(132\) | −21.2072 | − | 12.2440i | −1.84585 | − | 1.06570i | ||||
\(133\) | −7.77179 | + | 13.4611i | −0.673900 | + | 1.16723i | ||||
\(134\) | 7.87340 | + | 13.6371i | 0.680158 | + | 1.17807i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 25.4981 | − | 14.7213i | 2.18644 | − | 1.26234i | ||||
\(137\) | 0.347097 | − | 0.200396i | 0.0296545 | − | 0.0171210i | −0.485099 | − | 0.874459i | \(-0.661217\pi\) |
0.514754 | + | 0.857338i | \(0.327883\pi\) | |||||||
\(138\) | 0.990434i | 0.0843114i | ||||||||
\(139\) | 5.57346 | + | 9.65351i | 0.472735 | + | 0.818800i | 0.999513 | − | 0.0312024i | \(-0.00993363\pi\) |
−0.526779 | + | 0.850003i | \(0.676600\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −8.56957 | − | 4.94764i | −0.721688 | − | 0.416667i | ||||
\(142\) | −23.0654 | −1.93560 | ||||||||
\(143\) | 5.60418 | + | 3.55227i | 0.468645 | + | 0.297056i | ||||
\(144\) | 44.7604 | 3.73003 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 14.2048 | − | 24.6035i | 1.17560 | − | 2.03620i | ||||
\(147\) | −0.690442 | − | 1.19588i | −0.0569467 | − | 0.0986346i | ||||
\(148\) | 12.1327i | 0.997300i | ||||||||
\(149\) | 15.4824 | − | 8.93879i | 1.26837 | − | 0.732294i | 0.293691 | − | 0.955900i | \(-0.405116\pi\) |
0.974680 | + | 0.223606i | \(0.0717829\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 6.29273i | 0.512095i | 0.966664 | + | 0.256048i | \(0.0824204\pi\) | ||||
−0.966664 | + | 0.256048i | \(0.917580\pi\) | |||||||
\(152\) | 21.8734 | + | 37.8859i | 1.77417 | + | 3.07295i | ||||
\(153\) | −8.17754 | + | 14.1639i | −0.661115 | + | 1.14508i | ||||
\(154\) | 11.4987 | + | 6.63879i | 0.926593 | + | 0.534969i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −47.9372 | − | 1.98317i | −3.83804 | − | 0.158781i | ||||
\(157\) | −16.1516 | −1.28904 | −0.644518 | − | 0.764589i | \(-0.722942\pi\) | ||||
−0.644518 | + | 0.764589i | \(0.722942\pi\) | |||||||
\(158\) | −21.9929 | − | 12.6976i | −1.74966 | − | 1.01017i | ||||
\(159\) | −13.4658 | + | 23.3235i | −1.06791 | + | 1.84967i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | − | 0.382041i | − | 0.0301090i | ||||||
\(162\) | 7.96679 | − | 4.59963i | 0.625930 | − | 0.361381i | ||||
\(163\) | −20.6404 | + | 11.9167i | −1.61668 | + | 0.933390i | −0.628908 | + | 0.777480i | \(0.716498\pi\) |
−0.987771 | + | 0.155910i | \(0.950169\pi\) | |||||||
\(164\) | 45.6330i | 3.56334i | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −20.5485 | + | 35.5910i | −1.59487 | + | 2.76240i | ||||
\(167\) | 0.967261 | + | 0.558448i | 0.0748489 | + | 0.0432140i | 0.536957 | − | 0.843609i | \(-0.319574\pi\) |
−0.462108 | + | 0.886823i | \(0.652907\pi\) | |||||||
\(168\) | −57.0611 | −4.40236 | ||||||||
\(169\) | 12.9556 | + | 1.07379i | 0.996583 | + | 0.0825992i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −21.0452 | − | 12.1505i | −1.60937 | − | 0.929169i | ||||
\(172\) | 5.17036 | − | 8.95533i | 0.394236 | − | 0.682838i | ||||
\(173\) | −1.07541 | − | 1.86266i | −0.0817616 | − | 0.141615i | 0.822245 | − | 0.569134i | \(-0.192721\pi\) |
−0.904007 | + | 0.427518i | \(0.859388\pi\) | |||||||
\(174\) | 8.29185i | 0.628604i | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 16.6482 | − | 9.61183i | 1.25490 | − | 0.724519i | ||||
\(177\) | − | 6.82805i | − | 0.513228i | ||||||
\(178\) | 4.43335 | + | 7.67878i | 0.332293 | + | 0.575549i | ||||
\(179\) | −1.08264 | + | 1.87518i | −0.0809199 | + | 0.140157i | −0.903645 | − | 0.428282i | \(-0.859119\pi\) |
0.822725 | + | 0.568439i | \(0.192452\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −19.8242 | −1.47352 | −0.736759 | − | 0.676155i | \(-0.763645\pi\) | ||||
−0.736759 | + | 0.676155i | \(0.763645\pi\) | |||||||
\(182\) | 25.9919 | + | 1.07529i | 1.92665 | + | 0.0797061i | ||||
\(183\) | 22.5390 | 1.66613 | ||||||||
\(184\) | −0.931186 | − | 0.537620i | −0.0686479 | − | 0.0396339i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 20.2158 | + | 35.0148i | 1.48229 | + | 2.56741i | ||||
\(187\) | 7.02416i | 0.513658i | ||||||||
\(188\) | 15.6534 | − | 9.03750i | 1.14164 | − | 0.659127i | ||||
\(189\) | 8.23132 | − | 4.75235i | 0.598740 | − | 0.345683i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 1.38158 | + | 2.39297i | 0.0999677 | + | 0.173149i | 0.911671 | − | 0.410921i | \(-0.134793\pi\) |
−0.811703 | + | 0.584070i | \(0.801459\pi\) | |||||||
\(192\) | −14.6939 | + | 25.4506i | −1.06044 | + | 1.83674i | ||||
\(193\) | 1.05896 | + | 0.611391i | 0.0762257 | + | 0.0440089i | 0.537628 | − | 0.843182i | \(-0.319320\pi\) |
−0.461403 | + | 0.887191i | \(0.652654\pi\) | |||||||
\(194\) | 0.824386 | 0.0591875 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 2.52236 | 0.180169 | ||||||||
\(197\) | 14.5872 | + | 8.42195i | 1.03930 | + | 0.600039i | 0.919634 | − | 0.392776i | \(-0.128485\pi\) |
0.119663 | + | 0.992815i | \(0.461818\pi\) | |||||||
\(198\) | −10.3791 | + | 17.9771i | −0.737611 | + | 1.27758i | ||||
\(199\) | −11.5992 | − | 20.0904i | −0.822245 | − | 1.42417i | −0.904007 | − | 0.427518i | \(-0.859388\pi\) |
0.0817623 | − | 0.996652i | \(-0.473945\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 13.9818 | − | 8.07238i | 0.986199 | − | 0.569382i | ||||
\(202\) | 36.1031 | − | 20.8441i | 2.54020 | − | 1.46659i | ||||
\(203\) | − | 3.19842i | − | 0.224485i | ||||||
\(204\) | −25.3955 | − | 43.9862i | −1.77804 | − | 3.07965i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 16.8174 | + | 9.70951i | 1.17172 | + | 0.676493i | ||||
\(207\) | 0.597285 | 0.0415141 | ||||||||
\(208\) | 20.1642 | − | 31.8118i | 1.39814 | − | 2.20575i | ||||
\(209\) | −10.4367 | −0.721924 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −13.4892 | + | 23.3639i | −0.928632 | + | 1.60844i | −0.143017 | + | 0.989720i | \(0.545680\pi\) |
−0.785614 | + | 0.618717i | \(0.787653\pi\) | |||||||
\(212\) | −24.5970 | − | 42.6033i | −1.68933 | − | 2.92601i | ||||
\(213\) | 23.6483i | 1.62035i | ||||||||
\(214\) | 21.9629 | − | 12.6803i | 1.50135 | − | 0.866806i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | − | 26.7507i | − | 1.82015i | ||||||
\(217\) | −7.79785 | − | 13.5063i | −0.529352 | − | 0.916865i | ||||
\(218\) | 11.4977 | − | 19.9146i | 0.778723 | − | 1.34879i | ||||
\(219\) | −25.2253 | − | 14.5638i | −1.70457 | − | 0.984134i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 6.38255 | + | 12.1926i | 0.429336 | + | 0.820164i | ||||
\(222\) | 17.4855 | 1.17355 | ||||||||
\(223\) | −0.762699 | − | 0.440345i | −0.0510741 | − | 0.0294877i | 0.474246 | − | 0.880393i | \(-0.342721\pi\) |
−0.525320 | + | 0.850905i | \(0.676054\pi\) | |||||||
\(224\) | 16.5434 | − | 28.6541i | 1.10535 | − | 1.91453i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | − | 48.0931i | − | 3.19911i | ||||||
\(227\) | −3.01263 | + | 1.73934i | −0.199955 | + | 0.115444i | −0.596635 | − | 0.802513i | \(-0.703496\pi\) |
0.396679 | + | 0.917957i | \(0.370162\pi\) | |||||||
\(228\) | 65.3562 | − | 37.7334i | 4.32832 | − | 2.49896i | ||||
\(229\) | − | 7.25190i | − | 0.479219i | −0.970869 | − | 0.239610i | \(-0.922981\pi\) | ||
0.970869 | − | 0.239610i | \(-0.0770194\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 6.80657 | − | 11.7893i | 0.447839 | − | 0.775680i | ||||
\(232\) | −7.79583 | − | 4.50092i | −0.511821 | − | 0.295500i | ||||
\(233\) | −14.3236 | −0.938371 | −0.469185 | − | 0.883100i | \(-0.655452\pi\) | ||||
−0.469185 | + | 0.883100i | \(0.655452\pi\) | |||||||
\(234\) | −1.68112 | + | 40.6359i | −0.109898 | + | 2.65645i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 10.8013 | + | 6.23615i | 0.703107 | + | 0.405939i | ||||
\(237\) | −13.0185 | + | 22.5487i | −0.845642 | + | 1.46469i | ||||
\(238\) | 13.7696 | + | 23.8497i | 0.892553 | + | 1.54595i | ||||
\(239\) | 3.62106i | 0.234227i | 0.993119 | + | 0.117114i | \(0.0373642\pi\) | ||||
−0.993119 | + | 0.117114i | \(0.962636\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 2.36360 | − | 1.36462i | 0.152253 | − | 0.0879031i | −0.421938 | − | 0.906625i | \(-0.638650\pi\) |
0.574191 | + | 0.818721i | \(0.305317\pi\) | |||||||
\(242\) | − | 20.0425i | − | 1.28838i | ||||||
\(243\) | −9.91779 | − | 17.1781i | −0.636227 | − | 1.10198i | ||||
\(244\) | −20.5852 | + | 35.6545i | −1.31783 | + | 2.28255i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 65.7659 | 4.19308 | ||||||||
\(247\) | −18.1162 | + | 9.48340i | −1.15270 | + | 0.603414i | ||||
\(248\) | −43.8935 | −2.78724 | ||||||||
\(249\) | 36.4905 | + | 21.0678i | 2.31249 | + | 1.33512i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −5.54338 | − | 9.60142i | −0.349895 | − | 0.606036i | 0.636335 | − | 0.771413i | \(-0.280450\pi\) |
−0.986231 | + | 0.165376i | \(0.947116\pi\) | |||||||
\(252\) | 57.8983i | 3.64725i | ||||||||
\(253\) | 0.222154 | − | 0.128261i | 0.0139667 | − | 0.00806368i | ||||
\(254\) | −25.3868 | + | 14.6571i | −1.59291 | + | 0.919666i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 4.94020 | + | 8.55667i | 0.308762 | + | 0.534792i | ||||
\(257\) | 14.6301 | − | 25.3401i | 0.912601 | − | 1.58067i | 0.102224 | − | 0.994761i | \(-0.467404\pi\) |
0.810376 | − | 0.585910i | \(-0.199263\pi\) | |||||||
\(258\) | −12.9064 | − | 7.45149i | −0.803514 | − | 0.463909i | ||||
\(259\) | −6.74470 | −0.419095 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 5.00043 | 0.309519 | ||||||||
\(262\) | 9.49692 | + | 5.48305i | 0.586722 | + | 0.338744i | ||||
\(263\) | 7.20239 | − | 12.4749i | 0.444118 | − | 0.769235i | −0.553872 | − | 0.832602i | \(-0.686850\pi\) |
0.997990 | + | 0.0633665i | \(0.0201837\pi\) | |||||||
\(264\) | −19.1568 | − | 33.1806i | −1.17902 | − | 2.04213i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −35.4367 | + | 20.4594i | −2.17276 | + | 1.25445i | ||||
\(267\) | 7.87285 | − | 4.54539i | 0.481810 | − | 0.278173i | ||||
\(268\) | 29.4905i | 1.80142i | ||||||||
\(269\) | −6.56252 | − | 11.3666i | −0.400124 | − | 0.693035i | 0.593616 | − | 0.804748i | \(-0.297700\pi\) |
−0.993741 | + | 0.111713i | \(0.964366\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −1.64683 | − | 0.950797i | −0.100038 | − | 0.0577568i | 0.449147 | − | 0.893458i | \(-0.351728\pi\) |
−0.549184 | + | 0.835701i | \(0.685061\pi\) | |||||||
\(272\) | 39.8722 | 2.41761 | ||||||||
\(273\) | 1.10247 | − | 26.6488i | 0.0667245 | − | 1.61286i | ||||
\(274\) | 1.05509 | 0.0637406 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −0.927438 | + | 1.60637i | −0.0558252 | + | 0.0966921i | ||||
\(277\) | 14.3095 | + | 24.7847i | 0.859772 | + | 1.48917i | 0.872146 | + | 0.489246i | \(0.162728\pi\) |
−0.0123732 | + | 0.999923i | \(0.503939\pi\) | |||||||
\(278\) | 29.3445i | 1.75996i | ||||||||
\(279\) | 21.1158 | − | 12.1912i | 1.26417 | − | 0.729868i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 0.841175i | − | 0.0501803i | −0.999685 | − | 0.0250901i | \(-0.992013\pi\) | ||
0.999685 | − | 0.0250901i | \(-0.00798728\pi\) | |||||||
\(282\) | −13.0248 | − | 22.5596i | −0.775614 | − | 1.34340i | ||||
\(283\) | 1.63943 | − | 2.83957i | 0.0974538 | − | 0.168795i | −0.813176 | − | 0.582018i | \(-0.802264\pi\) |
0.910630 | + | 0.413223i | \(0.135597\pi\) | |||||||
\(284\) | −37.4094 | − | 21.5983i | −2.21984 | − | 1.28162i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 8.10087 | + | 15.4751i | 0.479014 | + | 0.915063i | ||||
\(287\) | −25.3679 | −1.49742 | ||||||||
\(288\) | 44.7979 | + | 25.8641i | 2.63974 | + | 1.52406i | ||||
\(289\) | 1.21552 | − | 2.10534i | 0.0715010 | − | 0.123843i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | − | 0.845221i | − | 0.0495477i | ||||||
\(292\) | 46.0772 | − | 26.6027i | 2.69647 | − | 1.55681i | ||||
\(293\) | 7.27496 | − | 4.20020i | 0.425008 | − | 0.245378i | −0.272210 | − | 0.962238i | \(-0.587755\pi\) |
0.697217 | + | 0.716860i | \(0.254421\pi\) | |||||||
\(294\) | − | 3.63521i | − | 0.212010i | ||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −9.49136 | + | 16.4395i | −0.551674 | + | 0.955528i | ||||
\(297\) | 5.52692 | + | 3.19097i | 0.320704 | + | 0.185159i | ||||
\(298\) | 47.0631 | 2.72629 | ||||||||
\(299\) | 0.269072 | − | 0.424497i | 0.0155608 | − | 0.0245493i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 4.97838 | + | 2.87427i | 0.286949 | + | 0.165670i | ||||
\(302\) | −8.28287 | + | 14.3464i | −0.476626 | + | 0.825540i | ||||
\(303\) | −21.3709 | − | 37.0155i | −1.22773 | − | 2.12649i | ||||
\(304\) | 59.2434i | 3.39784i | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −37.2868 | + | 21.5275i | −2.13154 | + | 1.23065i | ||||
\(307\) | 32.8251i | 1.87343i | 0.350095 | + | 0.936714i | \(0.386149\pi\) | ||||
−0.350095 | + | 0.936714i | \(0.613851\pi\) | |||||||
\(308\) | 12.4331 | + | 21.5347i | 0.708439 | + | 1.22705i | ||||
\(309\) | 9.95489 | − | 17.2424i | 0.566314 | − | 0.980885i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 18.5990 | 1.05465 | 0.527327 | − | 0.849662i | \(-0.323194\pi\) | ||||
0.527327 | + | 0.849662i | \(0.323194\pi\) | |||||||
\(312\) | −63.4024 | − | 40.1883i | −3.58945 | − | 2.27521i | ||||
\(313\) | 6.55565 | 0.370547 | 0.185274 | − | 0.982687i | \(-0.440683\pi\) | ||||
0.185274 | + | 0.982687i | \(0.440683\pi\) | |||||||
\(314\) | −36.8228 | − | 21.2597i | −2.07803 | − | 1.19975i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −23.7799 | − | 41.1880i | −1.33772 | − | 2.31701i | ||||
\(317\) | − | 28.3918i | − | 1.59464i | −0.603555 | − | 0.797321i | \(-0.706250\pi\) | ||
0.603555 | − | 0.797321i | \(-0.293750\pi\) | |||||||
\(318\) | −61.3996 | + | 35.4491i | −3.44312 | + | 1.98788i | ||||
\(319\) | 1.85986 | − | 1.07379i | 0.104132 | − | 0.0601207i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −13.0008 | − | 22.5180i | −0.725631 | − | 1.25683i | ||||
\(322\) | 0.502865 | − | 0.870988i | 0.0280236 | − | 0.0485382i | ||||
\(323\) | −18.7469 | − | 10.8235i | −1.04311 | − | 0.602237i | ||||
\(324\) | 17.2283 | 0.957127 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −62.7420 | −3.47496 | ||||||||
\(327\) | −20.4179 | − | 11.7883i | −1.12911 | − | 0.651894i | ||||
\(328\) | −35.6986 | + | 61.8317i | −1.97112 | + | 3.41409i | ||||
\(329\) | 5.02405 | + | 8.70191i | 0.276985 | + | 0.479752i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2.08424 | + | 1.20334i | −0.114560 | + | 0.0661413i | −0.556185 | − | 0.831058i | \(-0.687735\pi\) |
0.441625 | + | 0.897200i | \(0.354402\pi\) | |||||||
\(332\) | −66.6545 | + | 38.4830i | −3.65814 | + | 2.11203i | ||||
\(333\) | − | 10.5447i | − | 0.577846i | ||||||
\(334\) | 1.47013 | + | 2.54633i | 0.0804417 | + | 0.139329i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −66.9213 | − | 38.6370i | −3.65086 | − | 2.10782i | ||||
\(337\) | 3.33555 | 0.181699 | 0.0908496 | − | 0.995865i | \(-0.471042\pi\) | ||||
0.0908496 | + | 0.995865i | \(0.471042\pi\) | |||||||
\(338\) | 28.1231 | + | 19.5010i | 1.52970 | + | 1.06071i | ||||
\(339\) | −49.3086 | −2.67808 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 5.23586 | − | 9.06878i | 0.283538 | − | 0.491102i | ||||
\(342\) | −31.9863 | − | 55.4019i | −1.72962 | − | 2.99579i | ||||
\(343\) | − | 17.7829i | − | 0.960188i | ||||||
\(344\) | 14.0115 | − | 8.08952i | 0.755447 | − | 0.436158i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | − | 5.66206i | − | 0.304394i | ||||||
\(347\) | 10.0224 | + | 17.3593i | 0.538031 | + | 0.931897i | 0.999010 | + | 0.0444861i | \(0.0141650\pi\) |
−0.460979 | + | 0.887411i | \(0.652502\pi\) | |||||||
\(348\) | −7.76445 | + | 13.4484i | −0.416218 | + | 0.720911i | ||||
\(349\) | 12.8911 | + | 7.44270i | 0.690047 | + | 0.398399i | 0.803630 | − | 0.595130i | \(-0.202899\pi\) |
−0.113583 | + | 0.993529i | \(0.536233\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 12.4932 | + | 0.516846i | 0.666836 | + | 0.0275872i | ||||
\(352\) | 22.2162 | 1.18413 | ||||||||
\(353\) | 16.6003 | + | 9.58417i | 0.883543 | + | 0.510114i | 0.871825 | − | 0.489818i | \(-0.162937\pi\) |
0.0117179 | + | 0.999931i | \(0.496270\pi\) | |||||||
\(354\) | 8.98749 | − | 15.5668i | 0.477680 | − | 0.827365i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 16.6055i | 0.880088i | ||||||||
\(357\) | 24.4525 | − | 14.1176i | 1.29416 | − | 0.747185i | ||||
\(358\) | −4.93645 | + | 2.85006i | −0.260899 | + | 0.150630i | ||||
\(359\) | − | 15.1897i | − | 0.801683i | −0.916147 | − | 0.400842i | \(-0.868718\pi\) | ||
0.916147 | − | 0.400842i | \(-0.131282\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 6.58195 | − | 11.4003i | 0.346419 | − | 0.600014i | ||||
\(362\) | −45.1957 | − | 26.0937i | −2.37543 | − | 1.37146i | ||||
\(363\) | −20.5490 | −1.07854 | ||||||||
\(364\) | 41.1490 | + | 26.0827i | 2.15679 | + | 1.36711i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 51.3850 | + | 29.6672i | 2.68594 | + | 1.55073i | ||||
\(367\) | 2.13354 | − | 3.69540i | 0.111370 | − | 0.192898i | −0.804953 | − | 0.593339i | \(-0.797810\pi\) |
0.916323 | + | 0.400440i | \(0.131143\pi\) | |||||||
\(368\) | −0.728063 | − | 1.26104i | −0.0379529 | − | 0.0657364i | ||||
\(369\) | − | 39.6603i | − | 2.06463i | ||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 23.6837 | − | 13.6738i | 1.22960 | − | 0.709908i | ||||
\(372\) | 75.7199i | 3.92589i | ||||||||
\(373\) | 6.85171 | + | 11.8675i | 0.354768 | + | 0.614476i | 0.987078 | − | 0.160239i | \(-0.0512265\pi\) |
−0.632310 | + | 0.774715i | \(0.717893\pi\) | |||||||
\(374\) | −9.24562 | + | 16.0139i | −0.478080 | + | 0.828059i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 28.2800 | 1.45843 | ||||||||
\(377\) | 2.25265 | − | 3.55386i | 0.116018 | − | 0.183033i | ||||
\(378\) | 25.0213 | 1.28696 | ||||||||
\(379\) | −16.5632 | − | 9.56275i | −0.850792 | − | 0.491205i | 0.0101257 | − | 0.999949i | \(-0.496777\pi\) |
−0.860918 | + | 0.508744i | \(0.830110\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 15.0275 | + | 26.0284i | 0.769882 | + | 1.33347i | ||||
\(382\) | 7.27408i | 0.372174i | ||||||||
\(383\) | −8.57619 | + | 4.95147i | −0.438223 | + | 0.253008i | −0.702844 | − | 0.711344i | \(-0.748087\pi\) |
0.264621 | + | 0.964353i | \(0.414753\pi\) | |||||||
\(384\) | −10.5626 | + | 6.09833i | −0.539022 | + | 0.311204i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 1.60950 | + | 2.78773i | 0.0819213 | + | 0.141892i | ||||
\(387\) | −4.49364 | + | 7.78322i | −0.228425 | + | 0.395643i | ||||
\(388\) | 1.33706 | + | 0.771951i | 0.0678789 | + | 0.0391899i | ||||
\(389\) | −19.3750 | −0.982350 | −0.491175 | − | 0.871061i | \(-0.663432\pi\) | ||||
−0.491175 | + | 0.871061i | \(0.663432\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.532056 | 0.0269072 | ||||||||
\(392\) | 3.41774 | + | 1.97324i | 0.172622 | + | 0.0996635i | ||||
\(393\) | 5.62162 | − | 9.73693i | 0.283573 | − | 0.491163i | ||||
\(394\) | 22.1709 | + | 38.4012i | 1.11696 | + | 1.93462i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −33.6674 | + | 19.4379i | −1.69185 | + | 0.976791i | ||||
\(397\) | −16.9557 | + | 9.78940i | −0.850984 | + | 0.491316i | −0.860983 | − | 0.508634i | \(-0.830151\pi\) |
0.00999849 | + | 0.999950i | \(0.496817\pi\) | |||||||
\(398\) | − | 61.0702i | − | 3.06117i | ||||||
\(399\) | 20.9765 | + | 36.3323i | 1.05014 | + | 1.81889i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −27.1719 | − | 15.6877i | −1.35690 | − | 0.783406i | −0.367694 | − | 0.929947i | \(-0.619852\pi\) |
−0.989205 | + | 0.146541i | \(0.953186\pi\) | |||||||
\(402\) | 42.5014 | 2.11978 | ||||||||
\(403\) | 0.848060 | − | 20.4993i | 0.0422449 | − | 1.02114i | ||||
\(404\) | 78.0734 | 3.88429 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 4.20995 | − | 7.29185i | 0.208936 | − | 0.361889i | ||||
\(407\) | −2.26436 | − | 3.92199i | −0.112240 | − | 0.194406i | ||||
\(408\) | − | 79.4672i | − | 3.93421i | ||||||
\(409\) | −16.8069 | + | 9.70347i | −0.831048 | + | 0.479806i | −0.854211 | − | 0.519926i | \(-0.825959\pi\) |
0.0231636 | + | 0.999732i | \(0.492626\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | − | 1.08176i | − | 0.0533593i | ||||||
\(412\) | 18.1839 | + | 31.4954i | 0.895855 | + | 1.55167i | ||||
\(413\) | −3.46675 | + | 6.00459i | −0.170588 | + | 0.295466i | ||||
\(414\) | 1.36171 | + | 0.786182i | 0.0669242 | + | 0.0386387i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 38.5630 | − | 20.1868i | 1.89071 | − | 0.989742i | ||||
\(417\) | 30.0861 | 1.47332 | ||||||||
\(418\) | −23.7940 | − | 13.7375i | −1.16380 | − | 0.671921i | ||||
\(419\) | −4.07630 | + | 7.06036i | −0.199140 | + | 0.344921i | −0.948250 | − | 0.317525i | \(-0.897148\pi\) |
0.749110 | + | 0.662446i | \(0.230482\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 15.3225i | 0.746771i | 0.927676 | + | 0.373385i | \(0.121803\pi\) | ||||
−0.927676 | + | 0.373385i | \(0.878197\pi\) | |||||||
\(422\) | −61.5059 | + | 35.5105i | −2.99406 | + | 1.72862i | ||||
\(423\) | −13.6046 | + | 7.85463i | −0.661479 | + | 0.381905i | ||||
\(424\) | − | 76.9688i | − | 3.73793i | ||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −31.1273 | + | 53.9141i | −1.50812 | + | 2.61214i | ||||
\(427\) | −19.8208 | − | 11.4435i | −0.959195 | − | 0.553792i | ||||
\(428\) | 47.4950 | 2.29576 | ||||||||
\(429\) | 15.8662 | − | 8.30560i | 0.766029 | − | 0.400998i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 12.4274 | + | 7.17495i | 0.598606 | + | 0.345605i | 0.768493 | − | 0.639858i | \(-0.221007\pi\) |
−0.169887 | + | 0.985464i | \(0.554340\pi\) | |||||||
\(432\) | 18.1133 | − | 31.3732i | 0.871477 | − | 1.50944i | ||||
\(433\) | 7.64462 | + | 13.2409i | 0.367377 | + | 0.636316i | 0.989155 | − | 0.146878i | \(-0.0469226\pi\) |
−0.621778 | + | 0.783194i | \(0.713589\pi\) | |||||||
\(434\) | − | 41.0560i | − | 1.97075i | ||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 37.2959 | − | 21.5328i | 1.78615 | − | 1.03123i | ||||
\(437\) | 0.790547i | 0.0378170i | ||||||||
\(438\) | −38.3396 | − | 66.4061i | −1.83194 | − | 3.17301i | ||||
\(439\) | 0.394002 | − | 0.682432i | 0.0188047 | − | 0.0325707i | −0.856470 | − | 0.516197i | \(-0.827347\pi\) |
0.875275 | + | 0.483626i | \(0.160681\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −2.19222 | −0.104392 | ||||||||
\(442\) | −1.49753 | + | 36.1981i | −0.0712301 | + | 1.72177i | ||||
\(443\) | 16.1718 | 0.768343 | 0.384172 | − | 0.923262i | \(-0.374487\pi\) | ||||
0.384172 | + | 0.923262i | \(0.374487\pi\) | |||||||
\(444\) | 28.3595 | + | 16.3734i | 1.34588 | + | 0.777045i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −1.15922 | − | 2.00782i | −0.0548905 | − | 0.0950731i | ||||
\(447\) | − | 48.2525i | − | 2.28227i | ||||||
\(448\) | 25.8436 | − | 14.9208i | 1.22100 | − | 0.704943i | ||||
\(449\) | −5.14701 | + | 2.97163i | −0.242903 | + | 0.140240i | −0.616510 | − | 0.787347i | \(-0.711454\pi\) |
0.373607 | + | 0.927587i | \(0.378121\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −8.51665 | − | 14.7513i | −0.401033 | − | 0.694610i | ||||
\(452\) | 45.0342 | − | 78.0015i | 2.11823 | − | 3.66888i | ||||
\(453\) | 14.7089 | + | 8.49221i | 0.691086 | + | 0.398999i | ||||
\(454\) | −9.15770 | −0.429792 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 118.075 | 5.52937 | ||||||||
\(457\) | −7.49289 | − | 4.32602i | −0.350503 | − | 0.202363i | 0.314404 | − | 0.949289i | \(-0.398195\pi\) |
−0.664907 | + | 0.746926i | \(0.731529\pi\) | |||||||
\(458\) | 9.54539 | − | 16.5331i | 0.446027 | − | 0.772541i | ||||
\(459\) | 6.61845 | + | 11.4635i | 0.308923 | + | 0.535070i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −0.600268 | + | 0.346565i | −0.0279573 | + | 0.0161411i | −0.513913 | − | 0.857842i | \(-0.671805\pi\) |
0.485956 | + | 0.873983i | \(0.338471\pi\) | |||||||
\(462\) | 31.0356 | − | 17.9184i | 1.44391 | − | 0.833640i | ||||
\(463\) | 33.6025i | 1.56164i | 0.624754 | + | 0.780821i | \(0.285199\pi\) | ||||
−0.624754 | + | 0.780821i | \(0.714801\pi\) | |||||||
\(464\) | −6.09530 | − | 10.5574i | −0.282967 | − | 0.490113i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −32.6554 | − | 18.8536i | −1.51273 | − | 0.873375i | ||||
\(467\) | 2.48505 | 0.114995 | 0.0574973 | − | 0.998346i | \(-0.481688\pi\) | ||||
0.0574973 | + | 0.998346i | \(0.481688\pi\) | |||||||
\(468\) | −40.7779 | + | 64.3326i | −1.88496 | + | 2.97377i | ||||
\(469\) | −16.3941 | −0.757009 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −21.7970 | + | 37.7534i | −1.00435 | + | 1.73959i | ||||
\(472\) | 9.75704 | + | 16.8997i | 0.449104 | + | 0.777872i | ||||
\(473\) | 3.85985i | 0.177476i | ||||||||
\(474\) | −59.3598 | + | 34.2714i | −2.72649 | + | 1.57414i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 51.5753i | 2.36395i | ||||||||
\(477\) | 21.3777 | + | 37.0272i | 0.978816 | + | 1.69536i | ||||
\(478\) | −4.76626 | + | 8.25541i | −0.218004 | + | 0.377593i | ||||
\(479\) | −29.0171 | − | 16.7530i | −1.32583 | − | 0.765465i | −0.341174 | − | 0.940000i | \(-0.610825\pi\) |
−0.984651 | + | 0.174535i | \(0.944158\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −7.49424 | − | 4.75030i | −0.341708 | − | 0.216595i | ||||
\(482\) | 7.18479 | 0.327258 | ||||||||
\(483\) | −0.893000 | − | 0.515574i | −0.0406329 | − | 0.0234594i | ||||
\(484\) | 18.7677 | − | 32.5066i | 0.853077 | − | 1.47757i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | − | 52.2176i | − | 2.36864i | ||||||
\(487\) | −0.0175926 | + | 0.0101571i | −0.000797199 | + | 0.000460263i | −0.500399 | − | 0.865795i | \(-0.666813\pi\) |
0.499601 | + | 0.866255i | \(0.333480\pi\) | |||||||
\(488\) | −55.7849 | + | 32.2074i | −2.52526 | + | 1.45796i | ||||
\(489\) | 64.3277i | 2.90900i | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −5.50075 | + | 9.52758i | −0.248245 | + | 0.429974i | −0.963039 | − | 0.269362i | \(-0.913187\pi\) |
0.714794 | + | 0.699335i | \(0.246521\pi\) | |||||||
\(492\) | 106.665 | + | 61.5829i | 4.80882 | + | 2.77637i | ||||
\(493\) | 4.45434 | 0.200613 | ||||||||
\(494\) | −53.7844 | − | 2.22508i | −2.41987 | − | 0.100111i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −51.4783 | − | 29.7210i | −2.31145 | − | 1.33451i | ||||
\(497\) | 12.0068 | − | 20.7963i | 0.538576 | − | 0.932842i | ||||
\(498\) | 55.4613 | + | 96.0619i | 2.48528 | + | 4.30464i | ||||
\(499\) | − | 8.95832i | − | 0.401030i | −0.979691 | − | 0.200515i | \(-0.935739\pi\) | ||
0.979691 | − | 0.200515i | \(-0.0642615\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 2.61069 | − | 1.50728i | 0.116637 | − | 0.0673403i | ||||
\(502\) | − | 29.1861i | − | 1.30264i | ||||||
\(503\) | 10.0881 | + | 17.4732i | 0.449808 | + | 0.779090i | 0.998373 | − | 0.0570180i | \(-0.0181592\pi\) |
−0.548566 | + | 0.836108i | \(0.684826\pi\) | |||||||
\(504\) | −45.2937 | + | 78.4509i | −2.01754 | + | 3.49448i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 0.675297 | 0.0300206 | ||||||||
\(507\) | 19.9938 | − | 28.8339i | 0.887956 | − | 1.28056i | ||||
\(508\) | −54.8992 | −2.43576 | ||||||||
\(509\) | 1.99934 | + | 1.15432i | 0.0886193 | + | 0.0511644i | 0.543655 | − | 0.839309i | \(-0.317040\pi\) |
−0.455035 | + | 0.890473i | \(0.650373\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 14.7888 | + | 25.6149i | 0.654216 | + | 1.13314i | ||||
\(512\) | 35.0481i | 1.54892i | ||||||||
\(513\) | −17.0328 | + | 9.83391i | −0.752018 | + | 0.434178i | ||||
\(514\) | 66.7083 | − | 38.5140i | 2.94238 | − | 1.69878i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −13.9551 | − | 24.1709i | −0.614338 | − | 1.06406i | ||||
\(517\) | −3.37340 | + | 5.84290i | −0.148362 | + | 0.256970i | ||||
\(518\) | −15.3768 | − | 8.87778i | −0.675616 | − | 0.390067i | ||||
\(519\) | −5.80515 | −0.254818 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −9.00049 | −0.394319 | −0.197159 | − | 0.980371i | \(-0.563172\pi\) | ||||
−0.197159 | + | 0.980371i | \(0.563172\pi\) | |||||||
\(522\) | 11.4001 | + | 6.58186i | 0.498970 | + | 0.288080i | ||||
\(523\) | 20.1347 | − | 34.8743i | 0.880428 | − | 1.52495i | 0.0295625 | − | 0.999563i | \(-0.490589\pi\) |
0.850866 | − | 0.525383i | \(-0.176078\pi\) | |||||||
\(524\) | 10.2686 | + | 17.7857i | 0.448586 | + | 0.776974i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 32.8404 | − | 18.9604i | 1.43191 | − | 0.826714i | ||||
\(527\) | 18.8097 | − | 10.8598i | 0.819365 | − | 0.473061i | ||||
\(528\) | − | 51.8856i | − | 2.25803i | ||||||
\(529\) | 11.4903 | + | 19.9018i | 0.499578 | + | 0.865294i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −9.38760 | − | 5.41993i | −0.407387 | − | 0.235205i | ||||
\(532\) | −76.6323 | −3.32243 | ||||||||
\(533\) | −28.1871 | − | 17.8667i | −1.22092 | − | 0.773892i | ||||
\(534\) | 23.9317 | 1.03562 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −23.0703 | + | 39.9589i | −0.996485 | + | 1.72596i | ||||
\(537\) | 2.92209 | + | 5.06120i | 0.126097 | + | 0.218407i | ||||
\(538\) | − | 34.5519i | − | 1.48964i | ||||||
\(539\) | −0.815375 | + | 0.470757i | −0.0351207 | + | 0.0202769i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 18.4257i | 0.792185i | 0.918211 | + | 0.396092i | \(0.129634\pi\) | ||||
−0.918211 | + | 0.396092i | \(0.870366\pi\) | |||||||
\(542\) | −2.50299 | − | 4.33531i | −0.107513 | − | 0.186217i | ||||
\(543\) | −26.7532 | + | 46.3379i | −1.14809 | + | 1.98855i | ||||
\(544\) | 39.9056 | + | 23.0395i | 1.71094 | + | 0.987811i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 37.5902 | − | 59.3036i | 1.60871 | − | 2.53796i | ||||
\(547\) | −31.9538 | −1.36625 | −0.683123 | − | 0.730303i | \(-0.739379\pi\) | ||||
−0.683123 | + | 0.730303i | \(0.739379\pi\) | |||||||
\(548\) | 1.71124 | + | 0.987985i | 0.0731006 | + | 0.0422046i | ||||
\(549\) | 17.8909 | − | 30.9879i | 0.763564 | − | 1.32253i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 6.61840i | 0.281953i | ||||||||
\(552\) | −2.51332 | + | 1.45106i | −0.106974 | + | 0.0617614i | ||||
\(553\) | 22.8969 | − | 13.2195i | 0.973676 | − | 0.562152i | ||||
\(554\) | 75.3399i | 3.20089i | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −27.4780 | + | 47.5933i | −1.16533 | + | 2.01841i | ||||
\(557\) | 17.9054 | + | 10.3377i | 0.758677 | + | 0.438022i | 0.828820 | − | 0.559515i | \(-0.189012\pi\) |
−0.0701438 | + | 0.997537i | \(0.522346\pi\) | |||||||
\(558\) | 64.1871 | 2.71726 | ||||||||
\(559\) | 3.50727 | + | 6.69996i | 0.148342 | + | 0.283378i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 16.4186 | + | 9.47929i | 0.693194 | + | 0.400216i | ||||
\(562\) | 1.10720 | − | 1.91773i | 0.0467046 | − | 0.0808948i | ||||
\(563\) | 16.9429 | + | 29.3459i | 0.714056 | + | 1.23678i | 0.963322 | + | 0.268346i | \(0.0864772\pi\) |
−0.249266 | + | 0.968435i | \(0.580189\pi\) | |||||||
\(564\) | − | 48.7853i | − | 2.05423i | ||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 7.47523 | − | 4.31582i | 0.314207 | − | 0.181408i | ||||
\(567\) | 9.57741i | 0.402213i | ||||||||
\(568\) | −33.7926 | − | 58.5305i | −1.41790 | − | 2.45588i | ||||
\(569\) | 16.4578 | − | 28.5058i | 0.689949 | − | 1.19503i | −0.281905 | − | 0.959442i | \(-0.590966\pi\) |
0.971854 | − | 0.235584i | \(-0.0757003\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −33.3623 | −1.39617 | −0.698085 | − | 0.716015i | \(-0.745964\pi\) | ||||
−0.698085 | + | 0.716015i | \(0.745964\pi\) | |||||||
\(572\) | −1.35217 | + | 32.6845i | −0.0565369 | + | 1.36661i | ||||
\(573\) | 7.45792 | 0.311559 | ||||||||
\(574\) | −57.8345 | − | 33.3908i | −2.41397 | − | 1.39370i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 23.3273 | + | 40.4041i | 0.971971 | + | 1.68350i | ||||
\(577\) | − | 6.68771i | − | 0.278413i | −0.990263 | − | 0.139206i | \(-0.955545\pi\) | ||
0.990263 | − | 0.139206i | \(-0.0444552\pi\) | |||||||
\(578\) | 5.54234 | − | 3.19987i | 0.230531 | − | 0.133097i | ||||
\(579\) | 2.85819 | − | 1.65018i | 0.118782 | − | 0.0685790i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −21.3931 | − | 37.0540i | −0.887537 | − | 1.53726i | ||||
\(582\) | 1.11253 | − | 1.92696i | 0.0461158 | − | 0.0798750i | ||||
\(583\) | 15.9024 | + | 9.18126i | 0.658611 | + | 0.380249i | ||||
\(584\) | 83.2449 | 3.44470 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 22.1142 | 0.913530 | ||||||||
\(587\) | 20.2791 | + | 11.7081i | 0.837008 | + | 0.483247i | 0.856246 | − | 0.516568i | \(-0.172791\pi\) |
−0.0192383 | + | 0.999815i | \(0.506124\pi\) | |||||||
\(588\) | 3.40399 | − | 5.89588i | 0.140378 | − | 0.243142i | ||||
\(589\) | 16.1359 | + | 27.9481i | 0.664867 | + | 1.15158i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 39.3717 | − | 22.7313i | 1.61954 | − | 0.935039i | ||||
\(592\) | −22.2629 | + | 12.8535i | −0.915001 | + | 0.528276i | ||||
\(593\) | − | 7.21585i | − | 0.296319i | −0.988963 | − | 0.148160i | \(-0.952665\pi\) | ||
0.988963 | − | 0.148160i | \(-0.0473349\pi\) | |||||||
\(594\) | 8.40028 | + | 14.5497i | 0.344668 | + | 0.596982i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 76.3309 | + | 44.0697i | 3.12663 | + | 1.80516i | ||||
\(597\) | −62.6136 | −2.56260 | ||||||||
\(598\) | 1.17219 | − | 0.613612i | 0.0479343 | − | 0.0250925i | ||||
\(599\) | 37.7682 | 1.54317 | 0.771584 | − | 0.636127i | \(-0.219465\pi\) | ||||
0.771584 | + | 0.636127i | \(0.219465\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 14.1912 | − | 24.5800i | 0.578873 | − | 1.00264i | −0.416736 | − | 0.909028i | \(-0.636826\pi\) |
0.995609 | − | 0.0936099i | \(-0.0298406\pi\) | |||||||
\(602\) | 7.56656 | + | 13.1057i | 0.308390 | + | 0.534147i | ||||
\(603\) | − | 25.6306i | − | 1.04376i | ||||||
\(604\) | −26.8677 | + | 15.5121i | −1.09323 | + | 0.631178i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | − | 112.519i | − | 4.57076i | ||||||
\(607\) | 13.3253 | + | 23.0801i | 0.540857 | + | 0.936792i | 0.998855 | + | 0.0478390i | \(0.0152335\pi\) |
−0.457998 | + | 0.888953i | \(0.651433\pi\) | |||||||
\(608\) | −34.2329 | + | 59.2931i | −1.38833 | + | 2.40465i | ||||
\(609\) | −7.47614 | − | 4.31635i | −0.302948 | − | 0.174907i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −0.546394 | + | 13.2074i | −0.0221048 | + | 0.534315i | ||||
\(612\) | −80.6331 | −3.25940 | ||||||||
\(613\) | −3.98537 | − | 2.30095i | −0.160967 | − | 0.0929346i | 0.417352 | − | 0.908745i | \(-0.362958\pi\) |
−0.578320 | + | 0.815810i | \(0.696291\pi\) | |||||||
\(614\) | −43.2064 | + | 74.8356i | −1.74367 | + | 3.02012i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 38.9054i | 1.56754i | ||||||||
\(617\) | −24.1223 | + | 13.9270i | −0.971126 | + | 0.560680i | −0.899579 | − | 0.436757i | \(-0.856127\pi\) |
−0.0715470 | + | 0.997437i | \(0.522794\pi\) | |||||||
\(618\) | 45.3909 | − | 26.2064i | 1.82589 | − | 1.05418i | ||||
\(619\) | − | 30.3338i | − | 1.21922i | −0.792703 | − | 0.609608i | \(-0.791327\pi\) | ||
0.792703 | − | 0.609608i | \(-0.208673\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0.241705 | − | 0.418645i | 0.00969928 | − | 0.0167996i | ||||
\(622\) | 42.4026 | + | 24.4812i | 1.70019 | + | 0.981605i | ||||
\(623\) | −9.23117 | −0.369839 | ||||||||
\(624\) | −47.1462 | − | 90.0636i | −1.88736 | − | 3.60543i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 14.9458 | + | 8.62894i | 0.597353 | + | 0.344882i | ||||
\(627\) | −14.0846 | + | 24.3953i | −0.562486 | + | 0.974255i | ||||
\(628\) | −39.8149 | − | 68.9614i | −1.58879 | − | 2.75186i | ||||
\(629\) | − | 9.39313i | − | 0.374529i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −2.94868 | + | 1.70242i | −0.117385 | + | 0.0677723i | −0.557543 | − | 0.830148i | \(-0.688256\pi\) |
0.440158 | + | 0.897920i | \(0.354922\pi\) | |||||||
\(632\) | − | 74.4118i | − | 2.95994i | ||||||
\(633\) | 36.4079 | + | 63.0603i | 1.44708 | + | 2.50642i | ||||
\(634\) | 37.3710 | − | 64.7285i | 1.48419 | − | 2.57070i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −132.777 | −5.26496 | ||||||||
\(637\) | −0.987579 | + | 1.55804i | −0.0391293 | + | 0.0617318i | ||||
\(638\) | 5.65354 | 0.223826 | ||||||||
\(639\) | 32.5130 | + | 18.7714i | 1.28620 | + | 0.742586i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −3.54843 | − | 6.14606i | −0.140155 | − | 0.242755i | 0.787400 | − | 0.616442i | \(-0.211427\pi\) |
−0.927555 | + | 0.373687i | \(0.878093\pi\) | |||||||
\(642\) | − | 68.4495i | − | 2.70148i | ||||||
\(643\) | −23.2936 | + | 13.4485i | −0.918608 | + | 0.530359i | −0.883191 | − | 0.469014i | \(-0.844609\pi\) |
−0.0354176 | + | 0.999373i | \(0.511276\pi\) | |||||||
\(644\) | 1.63118 | − | 0.941761i | 0.0642774 | − | 0.0371106i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −28.4931 | − | 49.3516i | −1.12105 | − | 1.94171i | ||||
\(647\) | 0.874779 | − | 1.51516i | 0.0343911 | − | 0.0595672i | −0.848318 | − | 0.529488i | \(-0.822384\pi\) |
0.882709 | + | 0.469921i | \(0.155717\pi\) | |||||||
\(648\) | 23.3440 | + | 13.4776i | 0.917037 | + | 0.529452i | ||||
\(649\) | −4.65550 | −0.182744 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −42.0936 | −1.64978 | ||||||||
\(652\) | −101.760 | − | 58.7513i | −3.98524 | − | 2.30088i | ||||
\(653\) | 0.404850 | − | 0.701221i | 0.0158430 | − | 0.0274409i | −0.857995 | − | 0.513658i | \(-0.828290\pi\) |
0.873838 | + | 0.486217i | \(0.161623\pi\) | |||||||
\(654\) | −31.0329 | − | 53.7505i | −1.21348 | − | 2.10181i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −83.7346 | + | 48.3442i | −3.26929 | + | 1.88752i | ||||
\(657\) | −40.0464 | + | 23.1208i | −1.56236 | + | 0.902029i | ||||
\(658\) | 26.4518i | 1.03120i | ||||||||
\(659\) | 19.4927 | + | 33.7623i | 0.759327 | + | 1.31519i | 0.943194 | + | 0.332242i | \(0.107805\pi\) |
−0.183867 | + | 0.982951i | \(0.558862\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −13.5955 | − | 7.84937i | −0.528804 | − | 0.305305i | 0.211725 | − | 0.977329i | \(-0.432092\pi\) |
−0.740529 | + | 0.672024i | \(0.765425\pi\) | |||||||
\(662\) | −6.33561 | −0.246240 | ||||||||
\(663\) | 37.1130 | + | 1.53537i | 1.44135 | + | 0.0596290i | ||||
\(664\) | −120.420 | −4.67322 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 13.8796 | − | 24.0401i | 0.537822 | − | 0.931535i | ||||
\(667\) | −0.0813358 | − | 0.140878i | −0.00314934 | − | 0.00545481i | ||||
\(668\) | 5.50648i | 0.213052i | ||||||||
\(669\) | −2.05856 | + | 1.18851i | −0.0795887 | + | 0.0459506i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − | 15.3675i | − | 0.593257i | ||||||
\(672\) | −44.6516 | − | 77.3388i | −1.72247 | − | 2.98341i | ||||
\(673\) | −16.5267 | + | 28.6251i | −0.637057 | + | 1.10342i | 0.349018 | + | 0.937116i | \(0.386515\pi\) |
−0.986075 | + | 0.166300i | \(0.946818\pi\) | |||||||
\(674\) | 7.60449 | + | 4.39045i | 0.292914 | + | 0.169114i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 27.3518 | + | 57.9627i | 1.05199 | + | 2.22933i | ||||
\(677\) | −9.32729 | −0.358477 | −0.179238 | − | 0.983806i | \(-0.557363\pi\) | ||||
−0.179238 | + | 0.983806i | \(0.557363\pi\) | |||||||
\(678\) | −112.415 | − | 64.9029i | −4.31728 | − | 2.49258i | ||||
\(679\) | −0.429137 | + | 0.743287i | −0.0164688 | + | 0.0285247i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 9.38914i | 0.359793i | ||||||||
\(682\) | 23.8737 | − | 13.7835i | 0.914173 | − | 0.527798i | ||||
\(683\) | −17.7277 | + | 10.2351i | −0.678331 | + | 0.391634i | −0.799226 | − | 0.601031i | \(-0.794757\pi\) |
0.120895 | + | 0.992665i | \(0.461424\pi\) | |||||||
\(684\) | − | 119.807i | − | 4.58095i | ||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 23.4069 | − | 40.5420i | 0.893681 | − | 1.54790i | ||||
\(687\) | −16.9509 | − | 9.78663i | −0.646719 | − | 0.373383i | ||||
\(688\) | 21.9102 | 0.835318 | ||||||||
\(689\) | 35.9462 | + | 1.48710i | 1.36944 | + | 0.0566541i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −3.86449 | − | 2.23116i | −0.147012 | − | 0.0848774i | 0.424690 | − | 0.905339i | \(-0.360383\pi\) |
−0.571702 | + | 0.820462i | \(0.693717\pi\) | |||||||
\(692\) | 5.30192 | − | 9.18320i | 0.201549 | − | 0.349093i | ||||
\(693\) | −10.8058 | − | 18.7161i | −0.410477 | − | 0.710967i | ||||
\(694\) | 52.7684i | 2.00306i | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −21.0413 | + | 12.1482i | −0.797569 | + | 0.460477i | ||||
\(697\) | − | 35.3291i | − | 1.33819i | ||||||
\(698\) | 19.5931 | + | 33.9362i | 0.741608 | + | 1.28450i | ||||
\(699\) | −19.3301 | + | 33.4807i | −0.731130 | + | 1.26635i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 41.2801 | 1.55913 | 0.779564 | − | 0.626323i | \(-0.215441\pi\) | ||||
0.779564 | + | 0.626323i | \(0.215441\pi\) | |||||||
\(702\) | 27.8020 | + | 17.6226i | 1.04932 | + | 0.665121i | ||||
\(703\) | 13.9566 | 0.526384 | ||||||||
\(704\) | 17.3527 | + | 10.0186i | 0.654005 | + | 0.377590i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 25.2305 | + | 43.7005i | 0.949562 | + | 1.64469i | ||||
\(707\) | 43.4019i | 1.63230i | ||||||||
\(708\) | 29.1533 | − | 16.8317i | 1.09565 | − | 0.632573i | ||||
\(709\) | −24.3714 | + | 14.0708i | −0.915287 | + | 0.528441i | −0.882128 | − | 0.471009i | \(-0.843890\pi\) |
−0.0331583 | + | 0.999450i | \(0.510557\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 20.6675 | + | 35.7971i | 0.775091 | + | 1.34250i | ||||
\(712\) | −12.9904 | + | 22.5000i | −0.486836 | + | 0.843225i | ||||
\(713\) | −0.686929 | − | 0.396598i | −0.0257257 | − | 0.0148527i | ||||
\(714\) | 74.3299 | 2.78173 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −10.6751 | −0.398948 | ||||||||
\(717\) | 8.46404 | + | 4.88672i | 0.316096 | + | 0.182498i | ||||
\(718\) | 19.9936 | − | 34.6300i | 0.746156 | − | 1.29238i | ||||
\(719\) | −5.50910 | − | 9.54204i | −0.205455 | − | 0.355858i | 0.744823 | − | 0.667262i | \(-0.232534\pi\) |
−0.950278 | + | 0.311404i | \(0.899201\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −17.5087 | + | 10.1086i | −0.652057 | + | 0.376465i | ||||
\(722\) | 30.0114 | − | 17.3271i | 1.11691 | − | 0.644848i | ||||
\(723\) | − | 7.36637i | − | 0.273958i | ||||||
\(724\) | −48.8681 | − | 84.6421i | −1.81617 | − | 3.14570i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −46.8482 | − | 27.0478i | −1.73870 | − | 1.00384i | ||||
\(727\) | 21.0896 | 0.782168 | 0.391084 | − | 0.920355i | \(-0.372100\pi\) | ||||
0.391084 | + | 0.920355i | \(0.372100\pi\) | |||||||
\(728\) | 35.3516 | + | 67.5323i | 1.31022 | + | 2.50291i | ||||
\(729\) | −43.0538 | −1.59459 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −4.00290 | + | 6.93322i | −0.148053 | + | 0.256435i | ||||
\(732\) | 55.5604 | + | 96.2334i | 2.05357 | + | 3.55689i | ||||
\(733\) | − | 9.50914i | − | 0.351228i | −0.984459 | − | 0.175614i | \(-0.943809\pi\) | ||
0.984459 | − | 0.175614i | \(-0.0561911\pi\) | |||||||
\(734\) | 9.72820 | − | 5.61658i | 0.359075 | − | 0.207312i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | − | 1.68280i | − | 0.0620288i | ||||||
\(737\) | −5.50391 | − | 9.53305i | −0.202739 | − | 0.351154i | ||||
\(738\) | 52.2033 | − | 90.4188i | 1.92163 | − | 3.32836i | ||||
\(739\) | −2.97018 | − | 1.71484i | −0.109260 | − | 0.0630813i | 0.444374 | − | 0.895841i | \(-0.353426\pi\) |
−0.553634 | + | 0.832760i | \(0.686759\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −2.28131 | + | 55.1437i | −0.0838060 | + | 2.02575i | ||||
\(742\) | 71.9930 | 2.64295 | ||||||||
\(743\) | 27.3032 | + | 15.7635i | 1.00166 | + | 0.578307i | 0.908738 | − | 0.417367i | \(-0.137047\pi\) |
0.0929188 | + | 0.995674i | \(0.470380\pi\) | |||||||
\(744\) | −59.2354 | + | 102.599i | −2.17168 | + | 3.76145i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 36.0745i | 1.32078i | ||||||||
\(747\) | 57.9304 | − | 33.4461i | 2.11956 | − | 1.22373i | ||||
\(748\) | −29.9907 | + | 17.3151i | −1.09657 | + | 0.633103i | ||||
\(749\) | 26.4031i | 0.964747i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 4.49261 | − | 7.78143i | 0.163938 | − | 0.283948i | −0.772340 | − | 0.635210i | \(-0.780914\pi\) |
0.936278 | + | 0.351261i | \(0.114247\pi\) | |||||||
\(752\) | 33.1668 | + | 19.1489i | 1.20947 | + | 0.698288i | ||||
\(753\) | −29.9238 | −1.09048 | ||||||||
\(754\) | 9.81347 | − | 5.13712i | 0.357386 | − | 0.187083i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 40.5817 | + | 23.4299i | 1.47594 | + | 0.852136i | ||||
\(757\) | 16.7711 | − | 29.0485i | 0.609558 | − | 1.05578i | −0.381756 | − | 0.924263i | \(-0.624680\pi\) |
0.991313 | − | 0.131521i | \(-0.0419862\pi\) | |||||||
\(758\) | −25.1741 | − | 43.6028i | −0.914365 | − | 1.58373i | ||||
\(759\) | − | 0.692364i | − | 0.0251312i | ||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −39.0273 | + | 22.5324i | −1.41474 | + | 0.816800i | −0.995830 | − | 0.0912283i | \(-0.970921\pi\) |
−0.418909 | + | 0.908028i | \(0.637587\pi\) | |||||||
\(762\) | 79.1203i | 2.86623i | ||||||||
\(763\) | 11.9703 | + | 20.7332i | 0.433355 | + | 0.750593i | ||||
\(764\) | −6.81141 | + | 11.7977i | −0.246428 | + | 0.426826i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −26.0697 | −0.941935 | ||||||||
\(767\) | −8.08105 | + | 4.23024i | −0.291790 | + | 0.152745i | ||||
\(768\) | 26.6677 | 0.962287 | ||||||||
\(769\) | −13.7521 | − | 7.93979i | −0.495914 | − | 0.286316i | 0.231110 | − | 0.972928i | \(-0.425764\pi\) |
−0.727025 | + | 0.686611i | \(0.759097\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −39.4874 | − | 68.3942i | −1.42210 | − | 2.46316i | ||||
\(772\) | 6.02851i | 0.216971i | ||||||||
\(773\) | −14.4726 | + | 8.35573i | −0.520542 | + | 0.300535i | −0.737156 | − | 0.675722i | \(-0.763832\pi\) |
0.216615 | + | 0.976257i | \(0.430498\pi\) | |||||||
\(774\) | −20.4895 | + | 11.8296i | −0.736479 | + | 0.425206i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 1.20779 | + | 2.09195i | 0.0433571 | + | 0.0750968i | ||||
\(777\) | −9.10214 | + | 15.7654i | −0.326538 | + | 0.565580i | ||||
\(778\) | −44.1716 | − | 25.5025i | −1.58363 | − | 0.914309i | ||||
\(779\) | 52.4931 | 1.88076 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 16.1239 | 0.576957 | ||||||||
\(782\) | 1.21300 | + | 0.700324i | 0.0433767 | + | 0.0250435i | ||||
\(783\) | 2.02354 | − | 3.50487i | 0.0723153 | − | 0.125254i | ||||
\(784\) | 2.67222 | + | 4.62842i | 0.0954364 | + | 0.165301i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 25.6327 | − | 14.7990i | 0.914287 | − | 0.527864i | ||||
\(787\) | 42.7875 | − | 24.7034i | 1.52521 | − | 0.880580i | 0.525656 | − | 0.850697i | \(-0.323820\pi\) |
0.999553 | − | 0.0298831i | \(-0.00951350\pi\) | |||||||
\(788\) | 83.0430i | 2.95829i | ||||||||
\(789\) | −19.4396 | − | 33.6704i | −0.692068 | − | 1.19870i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 43.3620 | + | 25.0350i | 1.54177 | + | 0.890144i | ||||
\(792\) | −60.8249 | −2.16132 | ||||||||
\(793\) | −13.9638 | − | 26.6751i | −0.495868 | − | 0.947260i | ||||
\(794\) | −51.5416 | −1.82914 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 57.1858 | − | 99.0488i | 2.02690 | − | 3.51069i | ||||
\(797\) | −9.70631 | − | 16.8118i | −0.343815 | − | 0.595505i | 0.641323 | − | 0.767271i | \(-0.278386\pi\) |
−0.985138 | + | 0.171766i | \(0.945053\pi\) | |||||||
\(798\) | 110.442i | 3.90960i | ||||||||
\(799\) | −12.1189 | + | 6.99684i | −0.428735 | + | 0.247530i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | − | 14.4321i | − | 0.509932i | ||||||
\(802\) | −41.2981 | − | 71.5305i | −1.45829 | − | 2.52583i | ||||
\(803\) | −9.92991 | + | 17.1991i | −0.350419 | + | 0.606943i | ||||
\(804\) | 68.9324 | + | 39.7981i | 2.43106 | + | 1.40357i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 28.9158 | − | 45.6185i | 1.01852 | − | 1.60684i | ||||
\(807\) | −35.4252 | −1.24702 | ||||||||
\(808\) | 105.788 | + | 61.0766i | 3.72160 | + | 2.14867i | ||||
\(809\) | −11.0486 | + | 19.1368i | −0.388450 | + | 0.672814i | −0.992241 | − | 0.124328i | \(-0.960323\pi\) |
0.603792 | + | 0.797142i | \(0.293656\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 13.7950i | 0.484407i | 0.970225 | + | 0.242203i | \(0.0778702\pi\) | ||||
−0.970225 | + | 0.242203i | \(0.922130\pi\) | |||||||
\(812\) | 13.6561 | − | 7.88436i | 0.479236 | − | 0.276687i | ||||
\(813\) | −4.44487 | + | 2.56625i | −0.155888 | + | 0.0900022i | ||||
\(814\) | − | 11.9220i | − | 0.417865i | ||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 53.8085 | − | 93.1991i | 1.88368 | − | 3.26262i | ||||
\(817\) | −10.3016 | − | 5.94764i | −0.360408 | − | 0.208082i | ||||
\(818\) | −51.0891 | −1.78629 | ||||||||
\(819\) | −35.7632 | − | 22.6689i | −1.24967 | − | 0.792116i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −20.2706 | − | 11.7032i | −0.707450 | − | 0.408446i | 0.102666 | − | 0.994716i | \(-0.467263\pi\) |
−0.810116 | + | 0.586270i | \(0.800596\pi\) | |||||||
\(822\) | 1.42388 | − | 2.46623i | 0.0496634 | − | 0.0860195i | ||||
\(823\) | 7.92379 | + | 13.7244i | 0.276206 | + | 0.478402i | 0.970439 | − | 0.241348i | \(-0.0775895\pi\) |
−0.694233 | + | 0.719750i | \(0.744256\pi\) | |||||||
\(824\) | 56.9008i | 1.98223i | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −15.8072 | + | 9.12628i | −0.550002 | + | 0.317544i | ||||
\(827\) | 4.85361i | 0.168777i | 0.996433 | + | 0.0843883i | \(0.0268936\pi\) | ||||
−0.996433 | + | 0.0843883i | \(0.973106\pi\) | |||||||
\(828\) | 1.47235 | + | 2.55019i | 0.0511678 | + | 0.0886253i | ||||
\(829\) | −7.58395 | + | 13.1358i | −0.263401 | + | 0.456225i | −0.967144 | − | 0.254231i | \(-0.918178\pi\) |
0.703742 | + | 0.710455i | \(0.251511\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 77.2440 | 2.67956 | ||||||||
\(832\) | 39.2244 | + | 1.62273i | 1.35986 | + | 0.0562579i | ||||
\(833\) | −1.95281 | −0.0676610 | ||||||||
\(834\) | 68.5911 | + | 39.6011i | 2.37512 | + | 1.37127i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −25.7274 | − | 44.5611i | −0.889800 | − | 1.54118i | ||||
\(837\) | − | 19.7338i | − | 0.682099i | ||||||
\(838\) | −18.5865 | + | 10.7309i | −0.642061 | + | 0.370694i | ||||
\(839\) | 37.8349 | − | 21.8440i | 1.30620 | − | 0.754138i | 0.324744 | − | 0.945802i | \(-0.394722\pi\) |
0.981461 | + | 0.191664i | \(0.0613884\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 13.8191 | + | 23.9353i | 0.476519 | + | 0.825356i | ||||
\(842\) | −20.1683 | + | 34.9326i | −0.695046 | + | 1.20386i | ||||
\(843\) | −1.96620 | − | 1.13519i | −0.0677196 | − | 0.0390979i | ||||
\(844\) | −133.007 | −4.57830 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −41.3549 | −1.42181 | ||||||||
\(847\) | 18.0708 | + | 10.4332i | 0.620920 | + | 0.358488i | ||||
\(848\) | 52.1168 | − | 90.2690i | 1.78970 | − | 3.09985i | ||||
\(849\) | −4.42490 | − | 7.66415i | −0.151862 | − | 0.263033i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −0.297077 | + | 0.171518i | −0.0101837 | + | 0.00587955i | ||||
\(852\) | −100.970 | + | 58.2949i | −3.45917 | + | 1.99715i | ||||
\(853\) | 5.18588i | 0.177561i | 0.996051 | + | 0.0887806i | \(0.0282970\pi\) | ||||
−0.996051 | + | 0.0887806i | \(0.971703\pi\) | |||||||
\(854\) | −30.1253 | − | 52.1786i | −1.03087 | − | 1.78552i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 64.3547 | + | 37.1552i | 2.19960 | + | 1.26994i | ||||
\(857\) | 12.8688 | 0.439589 | 0.219795 | − | 0.975546i | \(-0.429461\pi\) | ||||
0.219795 | + | 0.975546i | \(0.429461\pi\) | |||||||
\(858\) | 47.1046 | + | 1.94873i | 1.60812 | + | 0.0665286i | ||||
\(859\) | 15.7252 | 0.536538 | 0.268269 | − | 0.963344i | \(-0.413548\pi\) | ||||
0.268269 | + | 0.963344i | \(0.413548\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −34.2347 | + | 59.2962i | −1.16671 | + | 2.02081i | ||||
\(862\) | 18.8882 | + | 32.7153i | 0.643335 | + | 1.11429i | ||||
\(863\) | − | 16.0465i | − | 0.546230i | −0.961981 | − | 0.273115i | \(-0.911946\pi\) | ||
0.961981 | − | 0.273115i | \(-0.0880539\pi\) | |||||||
\(864\) | 36.2570 | − | 20.9330i | 1.23349 | − | 0.712154i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 40.2492i | 1.36772i | ||||||||
\(867\) | −3.28074 | − | 5.68241i | −0.111420 | − | 0.192985i | ||||
\(868\) | 38.4446 | − | 66.5880i | 1.30490 | − | 2.26015i | ||||
\(869\) | 15.3741 | + | 8.87626i | 0.521532 | + | 0.301106i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −18.2160 | − | 11.5464i | −0.617225 | − | 0.391235i | ||||
\(872\) | 67.3802 | 2.28178 | ||||||||
\(873\) | −1.16206 | − | 0.670915i | −0.0393297 | − | 0.0227070i | ||||
\(874\) | −1.04056 | + | 1.80231i | −0.0351976 | + | 0.0609641i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | − | 143.604i | − | 4.85193i | ||||||
\(877\) | −4.74612 | + | 2.74017i | −0.160265 | + | 0.0925290i | −0.577987 | − | 0.816046i | \(-0.696162\pi\) |
0.417723 | + | 0.908575i | \(0.362828\pi\) | |||||||
\(878\) | 1.79652 | − | 1.03722i | 0.0606295 | − | 0.0350044i | ||||
\(879\) | − | 22.6731i | − | 0.764745i | ||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −4.78231 | + | 8.28321i | −0.161120 | + | 0.279068i | −0.935271 | − | 0.353933i | \(-0.884844\pi\) |
0.774151 | + | 0.633002i | \(0.218177\pi\) | |||||||
\(882\) | −4.99789 | − | 2.88553i | −0.168288 | − | 0.0971610i | ||||
\(883\) | −32.6927 | −1.10020 | −0.550098 | − | 0.835100i | \(-0.685410\pi\) | ||||
−0.550098 | + | 0.835100i | \(0.685410\pi\) | |||||||
\(884\) | −36.3246 | + | 57.3069i | −1.22173 | + | 1.92744i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 36.8688 | + | 21.2862i | 1.23863 | + | 0.715125i | ||||
\(887\) | 22.8984 | − | 39.6612i | 0.768854 | − | 1.33169i | −0.169331 | − | 0.985559i | \(-0.554161\pi\) |
0.938185 | − | 0.346135i | \(-0.112506\pi\) | |||||||
\(888\) | 25.6177 | + | 44.3711i | 0.859673 | + | 1.48900i | ||||
\(889\) | − | 30.5191i | − | 1.02358i | ||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −5.56919 | + | 3.21537i | −0.186575 | + | 0.107719i | ||||
\(892\) | − | 4.34194i | − | 0.145379i | ||||||
\(893\) | −10.3961 | − | 18.0066i | −0.347893 | − | 0.602569i | ||||
\(894\) | 63.5128 | − | 110.007i | 2.12419 | − | 3.67920i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 12.3850 | 0.413755 | ||||||||
\(897\) | −0.629120 | − | 1.20181i | −0.0210057 | − | 0.0401273i | ||||
\(898\) | −15.6457 | −0.522105 | ||||||||
\(899\) | −5.75092 | − | 3.32030i | −0.191804 | − | 0.110738i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 19.0430 | + | 32.9835i | 0.634416 | + | 1.09884i | ||||
\(902\) | − | 44.8405i | − | 1.49302i | ||||||
\(903\) | 13.4369 | − | 7.75779i | 0.447152 | − | 0.258163i | ||||
\(904\) | 122.041 | − | 70.4603i | 4.05901 | − | 2.34347i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 22.3559 | + | 38.7215i | 0.742725 | + | 1.28644i | ||||
\(907\) | 6.20272 | − | 10.7434i | 0.205958 | − | 0.356729i | −0.744480 | − | 0.667645i | \(-0.767302\pi\) |
0.950437 | + | 0.310916i | \(0.100636\pi\) | |||||||
\(908\) | −14.8527 | − | 8.57523i | −0.492905 | − | 0.284579i | ||||
\(909\) | −67.8547 | −2.25060 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −13.8486 | −0.458826 | −0.229413 | − | 0.973329i | \(-0.573681\pi\) | ||||
−0.229413 | + | 0.973329i | \(0.573681\pi\) | |||||||
\(912\) | 138.478 | + | 79.9505i | 4.58548 | + | 2.64743i | ||||
\(913\) | 14.3644 | − | 24.8799i | 0.475393 | − | 0.823405i | ||||
\(914\) | −11.3883 | − | 19.7252i | −0.376693 | − | 0.652451i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 30.9630 | − | 17.8765i | 1.02305 | − | 0.590657i | ||||
\(917\) | −9.88730 | + | 5.70844i | −0.326508 | + | 0.188509i | ||||
\(918\) | 34.8464i | 1.15010i | ||||||||
\(919\) | 24.2075 | + | 41.9287i | 0.798533 | + | 1.38310i | 0.920571 | + | 0.390575i | \(0.127724\pi\) |
−0.122038 | + | 0.992525i | \(0.538943\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 76.7269 | + | 44.2983i | 2.52824 | + | 1.45968i | ||||
\(922\) | −1.82468 | −0.0600925 | ||||||||
\(923\) | 27.9879 | − | 14.6510i | 0.921234 | − | 0.482245i | ||||
\(924\) | 67.1149 | 2.20792 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −44.2297 | + | 76.6080i | −1.45348 | + | 2.51750i | ||||
\(927\) | −15.8039 | − | 27.3731i | −0.519068 | − | 0.899051i | ||||
\(928\) | − | 14.0883i | − | 0.462470i | ||||||
\(929\) | 16.1983 | − | 9.35210i | 0.531450 | − | 0.306833i | −0.210157 | − | 0.977668i | \(-0.567397\pi\) |
0.741607 | + | 0.670835i | \(0.234064\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | − | 2.90156i | − | 0.0950946i | ||||||
\(932\) | −35.3088 | − | 61.1567i | −1.15658 | − | 2.00325i | ||||
\(933\) | 25.0999 | − | 43.4743i | 0.821733 | − | 1.42328i | ||||
\(934\) | 5.66549 | + | 3.27097i | 0.185381 | + | 0.107030i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −105.580 | + | 55.2688i | −3.45100 | + | 1.80652i | ||||
\(937\) | 32.9941 | 1.07787 | 0.538935 | − | 0.842347i | \(-0.318827\pi\) | ||||
0.538935 | + | 0.842347i | \(0.318827\pi\) | |||||||
\(938\) | −37.3757 | − | 21.5789i | −1.22036 | − | 0.704576i | ||||
\(939\) | 8.84702 | − | 15.3235i | 0.288712 | − | 0.500063i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | − | 30.1625i | − | 0.983270i | −0.870801 | − | 0.491635i | \(-0.836399\pi\) | ||
0.870801 | − | 0.491635i | \(-0.163601\pi\) | |||||||
\(942\) | −99.3866 | + | 57.3809i | −3.23819 | + | 1.86957i | ||||
\(943\) | −1.11736 | + | 0.645106i | −0.0363861 | + | 0.0210076i | ||||
\(944\) | 26.4266i | 0.860113i | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −5.08057 | + | 8.79980i | −0.165183 | + | 0.286106i | ||||
\(947\) | −9.04154 | − | 5.22013i | −0.293810 | − | 0.169632i | 0.345849 | − | 0.938290i | \(-0.387591\pi\) |
−0.639659 | + | 0.768659i | \(0.720924\pi\) | |||||||
\(948\) | −128.366 | −4.16915 | ||||||||
\(949\) | −1.60836 | + | 38.8772i | −0.0522097 | + | 1.26201i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −66.3643 | − | 38.3155i | −2.15201 | − | 1.24246i | ||||
\(952\) | −40.3472 | + | 69.8834i | −1.30766 | + | 2.26494i | ||||
\(953\) | −17.6291 | − | 30.5345i | −0.571062 | − | 0.989108i | −0.996457 | − | 0.0841005i | \(-0.973198\pi\) |
0.425396 | − | 0.905008i | \(-0.360135\pi\) | |||||||
\(954\) | 112.554i | 3.64408i | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −15.4606 | + | 8.92621i | −0.500033 | + | 0.288694i | ||||
\(957\) | − | 5.79643i | − | 0.187372i | ||||||
\(958\) | −44.1027 | − | 76.3881i | −1.42489 | − | 2.46799i | ||||
\(959\) | −0.549233 | + | 0.951299i | −0.0177357 | + | 0.0307191i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −1.37993 | −0.0445139 | ||||||||
\(962\) | −10.8330 | − | 20.6942i | −0.349269 | − | 0.667209i | ||||
\(963\) | −41.2787 | −1.33019 | ||||||||
\(964\) | 11.6529 | + | 6.72781i | 0.375315 | + | 0.216688i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −1.35726 | − | 2.35084i | −0.0436691 | − | 0.0756370i | ||||
\(967\) | 36.8535i | 1.18513i | 0.805523 | + | 0.592564i | \(0.201884\pi\) | ||||
−0.805523 | + | 0.592564i | \(0.798116\pi\) | |||||||
\(968\) | 50.8596 | − | 29.3638i | 1.63469 | − | 0.943789i | ||||
\(969\) | −50.5988 | + | 29.2132i | −1.62547 | + | 0.938465i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −3.00764 | − | 5.20939i | −0.0965199 | − | 0.167177i | 0.813722 | − | 0.581254i | \(-0.197438\pi\) |
−0.910242 | + | 0.414077i | \(0.864104\pi\) | |||||||
\(972\) | 48.8963 | − | 84.6908i | 1.56835 | − | 2.71646i | ||||
\(973\) | −26.4577 | − | 15.2754i | −0.848195 | − | 0.489706i | ||||
\(974\) | −0.0534776 | −0.00171353 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −87.2327 | −2.79225 | ||||||||
\(977\) | 30.9702 | + | 17.8807i | 0.990826 | + | 0.572054i | 0.905521 | − | 0.424301i | \(-0.139480\pi\) |
0.0853050 | + | 0.996355i | \(0.472814\pi\) | |||||||
\(978\) | −84.6720 | + | 146.656i | −2.70751 | + | 4.68955i | ||||
\(979\) | −3.09913 | − | 5.36786i | −0.0990488 | − | 0.171558i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −32.4144 | + | 18.7145i | −1.03491 | + | 0.597507i | ||||
\(982\) | −25.0815 | + | 14.4808i | −0.800384 | + | 0.462102i | ||||
\(983\) | − | 3.54764i | − | 0.113152i | −0.998398 | − | 0.0565760i | \(-0.981982\pi\) | ||
0.998398 | − | 0.0565760i | \(-0.0180183\pi\) | |||||||
\(984\) | 96.3523 | + | 166.887i | 3.07160 | + | 5.32016i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 10.1551 | + | 5.86307i | 0.323405 | + | 0.186718i | ||||
\(987\) | 27.1203 | 0.863250 | ||||||||
\(988\) | −85.1485 | − | 53.9723i | −2.70894 | − | 1.71709i | ||||
\(989\) | 0.292370 | 0.00929684 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 24.3549 | − | 42.1839i | 0.773658 | − | 1.34002i | −0.161887 | − | 0.986809i | \(-0.551758\pi\) |
0.935545 | − | 0.353206i | \(-0.114909\pi\) | |||||||
\(992\) | −34.3476 | − | 59.4919i | −1.09054 | − | 1.88887i | ||||
\(993\) | 6.49573i | 0.206136i | ||||||||
\(994\) | 54.7467 | − | 31.6080i | 1.73646 | − | 1.00254i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 207.735i | 6.58234i | ||||||||
\(997\) | −17.0874 | − | 29.5962i | −0.541162 | − | 0.937320i | −0.998838 | − | 0.0482007i | \(-0.984651\pi\) |
0.457676 | − | 0.889119i | \(-0.348682\pi\) | |||||||
\(998\) | 11.7915 | − | 20.4234i | 0.373253 | − | 0.646493i | ||||
\(999\) | −7.39092 | − | 4.26715i | −0.233838 | − | 0.135007i |
(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 | 325.2.n.f.251.5 | yes | 10 | |
5.2 | odd | 4 | 325.2.m.d.199.1 | 20 | |||
5.3 | odd | 4 | 325.2.m.d.199.10 | 20 | |||
5.4 | even | 2 | 325.2.n.e.251.1 | yes | 10 | ||
13.6 | odd | 12 | 4225.2.a.bu.1.1 | 10 | |||
13.7 | odd | 12 | 4225.2.a.bu.1.10 | 10 | |||
13.10 | even | 6 | inner | 325.2.n.f.101.5 | yes | 10 | |
65.19 | odd | 12 | 4225.2.a.bv.1.10 | 10 | |||
65.23 | odd | 12 | 325.2.m.d.49.1 | 20 | |||
65.49 | even | 6 | 325.2.n.e.101.1 | ✓ | 10 | ||
65.59 | odd | 12 | 4225.2.a.bv.1.1 | 10 | |||
65.62 | odd | 12 | 325.2.m.d.49.10 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
325.2.m.d.49.1 | 20 | 65.23 | odd | 12 | |||
325.2.m.d.49.10 | 20 | 65.62 | odd | 12 | |||
325.2.m.d.199.1 | 20 | 5.2 | odd | 4 | |||
325.2.m.d.199.10 | 20 | 5.3 | odd | 4 | |||
325.2.n.e.101.1 | ✓ | 10 | 65.49 | even | 6 | ||
325.2.n.e.251.1 | yes | 10 | 5.4 | even | 2 | ||
325.2.n.f.101.5 | yes | 10 | 13.10 | even | 6 | inner | |
325.2.n.f.251.5 | yes | 10 | 1.1 | even | 1 | trivial | |
4225.2.a.bu.1.1 | 10 | 13.6 | odd | 12 | |||
4225.2.a.bu.1.10 | 10 | 13.7 | odd | 12 | |||
4225.2.a.bv.1.1 | 10 | 65.59 | odd | 12 | |||
4225.2.a.bv.1.10 | 10 | 65.19 | odd | 12 |