Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(157,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 8, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.157");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.n (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - x^{19} + 4 x^{18} + 4 x^{17} + 37 x^{16} - 74 x^{15} + 398 x^{14} - 224 x^{13} + 978 x^{12} + 115 x^{11} + 1963 x^{10} + 323 x^{9} + 3007 x^{8} + 1828 x^{7} + 6736 x^{6} + \cdots + 121 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 196.3 | ||
Root | \(0.169480 + 0.521606i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 429.196 |
Dual form | 429.2.n.b.313.3 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{5}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.169480 | − | 0.521606i | 0.119841 | − | 0.368831i | −0.873085 | − | 0.487567i | \(-0.837884\pi\) |
0.992926 | + | 0.118736i | \(0.0378843\pi\) | |||||||
\(3\) | 0.809017 | − | 0.587785i | 0.467086 | − | 0.339358i | ||||
\(4\) | 1.37468 | + | 0.998767i | 0.687342 | + | 0.499383i | ||||
\(5\) | −0.266070 | − | 0.818878i | −0.118990 | − | 0.366213i | 0.873768 | − | 0.486342i | \(-0.161669\pi\) |
−0.992758 | + | 0.120129i | \(0.961669\pi\) | |||||||
\(6\) | −0.169480 | − | 0.521606i | −0.0691899 | − | 0.212945i | ||||
\(7\) | 2.33406 | + | 1.69579i | 0.882191 | + | 0.640949i | 0.933830 | − | 0.357717i | \(-0.116445\pi\) |
−0.0516395 | + | 0.998666i | \(0.516445\pi\) | |||||||
\(8\) | 1.64135 | − | 1.19251i | 0.580306 | − | 0.421617i | ||||
\(9\) | 0.309017 | − | 0.951057i | 0.103006 | − | 0.317019i | ||||
\(10\) | −0.472225 | −0.149331 | ||||||||
\(11\) | −2.07523 | − | 2.58716i | −0.625706 | − | 0.780059i | ||||
\(12\) | 1.69920 | 0.490518 | ||||||||
\(13\) | −0.309017 | + | 0.951057i | −0.0857059 | + | 0.263776i | ||||
\(14\) | 1.28011 | − | 0.930055i | 0.342124 | − | 0.248568i | ||||
\(15\) | −0.696579 | − | 0.506094i | −0.179856 | − | 0.130673i | ||||
\(16\) | 0.706320 | + | 2.17383i | 0.176580 | + | 0.543458i | ||||
\(17\) | 0.732462 | + | 2.25429i | 0.177648 | + | 0.546745i | 0.999745 | − | 0.0226037i | \(-0.00719561\pi\) |
−0.822096 | + | 0.569348i | \(0.807196\pi\) | |||||||
\(18\) | −0.443705 | − | 0.322370i | −0.104582 | − | 0.0759834i | ||||
\(19\) | −1.91727 | + | 1.39298i | −0.439852 | + | 0.319571i | −0.785576 | − | 0.618765i | \(-0.787633\pi\) |
0.345724 | + | 0.938336i | \(0.387633\pi\) | |||||||
\(20\) | 0.452106 | − | 1.39144i | 0.101094 | − | 0.311135i | ||||
\(21\) | 2.88505 | 0.629570 | ||||||||
\(22\) | −1.70119 | + | 0.643981i | −0.362695 | + | 0.137297i | ||||
\(23\) | 1.81427 | 0.378301 | 0.189151 | − | 0.981948i | \(-0.439427\pi\) | ||||
0.189151 | + | 0.981948i | \(0.439427\pi\) | |||||||
\(24\) | 0.626941 | − | 1.92953i | 0.127974 | − | 0.393863i | ||||
\(25\) | 3.44532 | − | 2.50317i | 0.689063 | − | 0.500634i | ||||
\(26\) | 0.443705 | + | 0.322370i | 0.0870176 | + | 0.0632220i | ||||
\(27\) | −0.309017 | − | 0.951057i | −0.0594703 | − | 0.183031i | ||||
\(28\) | 1.51489 | + | 4.66236i | 0.286288 | + | 0.881103i | ||||
\(29\) | −3.43067 | − | 2.49253i | −0.637060 | − | 0.462851i | 0.221779 | − | 0.975097i | \(-0.428814\pi\) |
−0.858839 | + | 0.512246i | \(0.828814\pi\) | |||||||
\(30\) | −0.382038 | + | 0.277567i | −0.0697503 | + | 0.0506766i | ||||
\(31\) | −0.318476 | + | 0.980168i | −0.0572000 | + | 0.176043i | −0.975574 | − | 0.219669i | \(-0.929502\pi\) |
0.918374 | + | 0.395712i | \(0.129502\pi\) | |||||||
\(32\) | 5.31124 | 0.938903 | ||||||||
\(33\) | −3.19959 | − | 0.873268i | −0.556978 | − | 0.152016i | ||||
\(34\) | 1.29999 | 0.222946 | ||||||||
\(35\) | 0.767625 | − | 2.36251i | 0.129752 | − | 0.399336i | ||||
\(36\) | 1.37468 | − | 0.998767i | 0.229114 | − | 0.166461i | ||||
\(37\) | −8.78740 | − | 6.38442i | −1.44464 | − | 1.04959i | −0.987047 | − | 0.160429i | \(-0.948712\pi\) |
−0.457592 | − | 0.889162i | \(-0.651288\pi\) | |||||||
\(38\) | 0.401647 | + | 1.23614i | 0.0651558 | + | 0.200529i | ||||
\(39\) | 0.309017 | + | 0.951057i | 0.0494823 | + | 0.152291i | ||||
\(40\) | −1.41324 | − | 1.02678i | −0.223452 | − | 0.162348i | ||||
\(41\) | −1.61597 | + | 1.17407i | −0.252372 | + | 0.183359i | −0.706778 | − | 0.707436i | \(-0.749852\pi\) |
0.454405 | + | 0.890795i | \(0.349852\pi\) | |||||||
\(42\) | 0.488959 | − | 1.50486i | 0.0754480 | − | 0.232205i | ||||
\(43\) | 1.67092 | 0.254814 | 0.127407 | − | 0.991851i | \(-0.459335\pi\) | ||||
0.127407 | + | 0.991851i | \(0.459335\pi\) | |||||||
\(44\) | −0.268817 | − | 5.62921i | −0.0405257 | − | 0.848635i | ||||
\(45\) | −0.861019 | −0.128353 | ||||||||
\(46\) | 0.307483 | − | 0.946334i | 0.0453358 | − | 0.139529i | ||||
\(47\) | −2.12809 | + | 1.54615i | −0.310414 | + | 0.225529i | −0.732074 | − | 0.681225i | \(-0.761448\pi\) |
0.421660 | + | 0.906754i | \(0.361448\pi\) | |||||||
\(48\) | 1.84917 | + | 1.34350i | 0.266905 | + | 0.193918i | ||||
\(49\) | 0.408994 | + | 1.25875i | 0.0584277 | + | 0.179822i | ||||
\(50\) | −0.721756 | − | 2.22134i | −0.102072 | − | 0.314144i | ||||
\(51\) | 1.91761 | + | 1.39323i | 0.268519 | + | 0.195091i | ||||
\(52\) | −1.37468 | + | 0.998767i | −0.190634 | + | 0.138504i | ||||
\(53\) | −2.34937 | + | 7.23063i | −0.322711 | + | 0.993204i | 0.649752 | + | 0.760147i | \(0.274873\pi\) |
−0.972463 | + | 0.233057i | \(0.925127\pi\) | |||||||
\(54\) | −0.548449 | −0.0746345 | ||||||||
\(55\) | −1.56641 | + | 2.38773i | −0.211215 | + | 0.321961i | ||||
\(56\) | 5.85327 | 0.782176 | ||||||||
\(57\) | −0.732333 | + | 2.25389i | −0.0969998 | + | 0.298535i | ||||
\(58\) | −1.88155 | + | 1.36703i | −0.247059 | + | 0.179499i | ||||
\(59\) | −4.27373 | − | 3.10505i | −0.556392 | − | 0.404242i | 0.273745 | − | 0.961802i | \(-0.411738\pi\) |
−0.830137 | + | 0.557560i | \(0.811738\pi\) | |||||||
\(60\) | −0.452106 | − | 1.39144i | −0.0583667 | − | 0.179634i | ||||
\(61\) | 0.526405 | + | 1.62011i | 0.0673993 | + | 0.207434i | 0.979084 | − | 0.203457i | \(-0.0652177\pi\) |
−0.911685 | + | 0.410891i | \(0.865218\pi\) | |||||||
\(62\) | 0.457286 | + | 0.332238i | 0.0580754 | + | 0.0421943i | ||||
\(63\) | 2.33406 | − | 1.69579i | 0.294064 | − | 0.213650i | ||||
\(64\) | −0.512491 | + | 1.57729i | −0.0640614 | + | 0.197161i | ||||
\(65\) | 0.861019 | 0.106796 | ||||||||
\(66\) | −0.997769 | + | 1.52093i | −0.122817 | + | 0.187213i | ||||
\(67\) | −7.33979 | −0.896698 | −0.448349 | − | 0.893858i | \(-0.647988\pi\) | ||||
−0.448349 | + | 0.893858i | \(0.647988\pi\) | |||||||
\(68\) | −1.24460 | + | 3.83049i | −0.150930 | + | 0.464515i | ||||
\(69\) | 1.46777 | − | 1.06640i | 0.176699 | − | 0.128380i | ||||
\(70\) | −1.10220 | − | 0.800795i | −0.131738 | − | 0.0957133i | ||||
\(71\) | −1.30904 | − | 4.02882i | −0.155355 | − | 0.478133i | 0.842842 | − | 0.538161i | \(-0.180881\pi\) |
−0.998197 | + | 0.0600283i | \(0.980881\pi\) | |||||||
\(72\) | −0.626941 | − | 1.92953i | −0.0738857 | − | 0.227397i | ||||
\(73\) | 8.36680 | + | 6.07883i | 0.979259 | + | 0.711474i | 0.957543 | − | 0.288291i | \(-0.0930869\pi\) |
0.0217165 | + | 0.999764i | \(0.493087\pi\) | |||||||
\(74\) | −4.81944 | + | 3.50153i | −0.560248 | + | 0.407044i | ||||
\(75\) | 1.31599 | − | 4.05021i | 0.151958 | − | 0.467678i | ||||
\(76\) | −4.02691 | −0.461918 | ||||||||
\(77\) | −0.456421 | − | 9.55775i | −0.0520140 | − | 1.08921i | ||||
\(78\) | 0.548449 | 0.0620996 | ||||||||
\(79\) | −1.70314 | + | 5.24171i | −0.191618 | + | 0.589739i | 0.808382 | + | 0.588659i | \(0.200344\pi\) |
−0.999999 | + | 0.00108015i | \(0.999656\pi\) | |||||||
\(80\) | 1.59217 | − | 1.15678i | 0.178010 | − | 0.129332i | ||||
\(81\) | −0.809017 | − | 0.587785i | −0.0898908 | − | 0.0653095i | ||||
\(82\) | 0.338528 | + | 1.04188i | 0.0373842 | + | 0.115057i | ||||
\(83\) | 0.438561 | + | 1.34975i | 0.0481384 | + | 0.148155i | 0.972236 | − | 0.234001i | \(-0.0751819\pi\) |
−0.924098 | + | 0.382156i | \(0.875182\pi\) | |||||||
\(84\) | 3.96604 | + | 2.88150i | 0.432730 | + | 0.314397i | ||||
\(85\) | 1.65110 | − | 1.19959i | 0.179087 | − | 0.130114i | ||||
\(86\) | 0.283188 | − | 0.871564i | 0.0305370 | − | 0.0939832i | ||||
\(87\) | −4.24054 | −0.454634 | ||||||||
\(88\) | −6.49142 | − | 1.77171i | −0.691987 | − | 0.188865i | ||||
\(89\) | 6.01572 | 0.637665 | 0.318832 | − | 0.947811i | \(-0.396709\pi\) | ||||
0.318832 | + | 0.947811i | \(0.396709\pi\) | |||||||
\(90\) | −0.145926 | + | 0.449113i | −0.0153819 | + | 0.0473406i | ||||
\(91\) | −2.33406 | + | 1.69579i | −0.244676 | + | 0.177767i | ||||
\(92\) | 2.49405 | + | 1.81203i | 0.260023 | + | 0.188917i | ||||
\(93\) | 0.318476 | + | 0.980168i | 0.0330244 | + | 0.101639i | ||||
\(94\) | 0.445812 | + | 1.37207i | 0.0459820 | + | 0.141518i | ||||
\(95\) | 1.65081 | + | 1.19938i | 0.169369 | + | 0.123054i | ||||
\(96\) | 4.29688 | − | 3.12187i | 0.438549 | − | 0.318624i | ||||
\(97\) | −1.05099 | + | 3.23462i | −0.106712 | + | 0.328426i | −0.990128 | − | 0.140163i | \(-0.955237\pi\) |
0.883416 | + | 0.468589i | \(0.155237\pi\) | |||||||
\(98\) | 0.725890 | 0.0733260 | ||||||||
\(99\) | −3.10182 | + | 1.17419i | −0.311745 | + | 0.118010i | ||||
\(100\) | 7.23631 | 0.723631 | ||||||||
\(101\) | −3.71677 | + | 11.4390i | −0.369832 | + | 1.13823i | 0.577067 | + | 0.816697i | \(0.304197\pi\) |
−0.946899 | + | 0.321530i | \(0.895803\pi\) | |||||||
\(102\) | 1.05171 | − | 0.764113i | 0.104135 | − | 0.0756584i | ||||
\(103\) | −7.45807 | − | 5.41861i | −0.734866 | − | 0.533911i | 0.156233 | − | 0.987720i | \(-0.450065\pi\) |
−0.891099 | + | 0.453809i | \(0.850065\pi\) | |||||||
\(104\) | 0.626941 | + | 1.92953i | 0.0614767 | + | 0.189206i | ||||
\(105\) | −0.767625 | − | 2.36251i | −0.0749125 | − | 0.230557i | ||||
\(106\) | 3.37337 | + | 2.45090i | 0.327651 | + | 0.238052i | ||||
\(107\) | −12.0751 | + | 8.77306i | −1.16734 | + | 0.848123i | −0.990688 | − | 0.136150i | \(-0.956527\pi\) |
−0.176653 | + | 0.984273i | \(0.556527\pi\) | |||||||
\(108\) | 0.525083 | − | 1.61604i | 0.0505261 | − | 0.155503i | ||||
\(109\) | −8.27227 | −0.792340 | −0.396170 | − | 0.918177i | \(-0.629661\pi\) | ||||
−0.396170 | + | 0.918177i | \(0.629661\pi\) | |||||||
\(110\) | 0.979977 | + | 1.22172i | 0.0934371 | + | 0.116487i | ||||
\(111\) | −10.8618 | −1.03096 | ||||||||
\(112\) | −2.03777 | + | 6.27162i | −0.192551 | + | 0.592612i | ||||
\(113\) | −2.65827 | + | 1.93135i | −0.250069 | + | 0.181686i | −0.705757 | − | 0.708454i | \(-0.749393\pi\) |
0.455688 | + | 0.890139i | \(0.349393\pi\) | |||||||
\(114\) | 1.05153 | + | 0.763978i | 0.0984844 | + | 0.0715531i | ||||
\(115\) | −0.482722 | − | 1.48566i | −0.0450140 | − | 0.138539i | ||||
\(116\) | −2.22664 | − | 6.85288i | −0.206738 | − | 0.636274i | ||||
\(117\) | 0.809017 | + | 0.587785i | 0.0747936 | + | 0.0543408i | ||||
\(118\) | −2.34392 | + | 1.70296i | −0.215775 | + | 0.156770i | ||||
\(119\) | −2.11319 | + | 6.50373i | −0.193716 | + | 0.596196i | ||||
\(120\) | −1.74686 | −0.159465 | ||||||||
\(121\) | −2.38682 | + | 10.7379i | −0.216984 | + | 0.976175i | ||||
\(122\) | 0.934274 | 0.0845852 | ||||||||
\(123\) | −0.617246 | + | 1.89969i | −0.0556552 | + | 0.171289i | ||||
\(124\) | −1.41676 | + | 1.02934i | −0.127229 | + | 0.0924374i | ||||
\(125\) | −6.44938 | − | 4.68575i | −0.576850 | − | 0.419106i | ||||
\(126\) | −0.488959 | − | 1.50486i | −0.0435599 | − | 0.134064i | ||||
\(127\) | 4.62472 | + | 14.2334i | 0.410378 | + | 1.26301i | 0.916321 | + | 0.400445i | \(0.131145\pi\) |
−0.505943 | + | 0.862567i | \(0.668855\pi\) | |||||||
\(128\) | 9.32963 | + | 6.77837i | 0.824631 | + | 0.599129i | ||||
\(129\) | 1.35181 | − | 0.982145i | 0.119020 | − | 0.0864730i | ||||
\(130\) | 0.145926 | − | 0.449113i | 0.0127985 | − | 0.0393898i | ||||
\(131\) | 4.75880 | 0.415779 | 0.207889 | − | 0.978152i | \(-0.433341\pi\) | ||||
0.207889 | + | 0.978152i | \(0.433341\pi\) | |||||||
\(132\) | −3.52624 | − | 4.39612i | −0.306920 | − | 0.382633i | ||||
\(133\) | −6.83723 | −0.592863 | ||||||||
\(134\) | −1.24395 | + | 3.82848i | −0.107461 | + | 0.330730i | ||||
\(135\) | −0.696579 | + | 0.506094i | −0.0599520 | + | 0.0435577i | ||||
\(136\) | 3.89049 | + | 2.82661i | 0.333607 | + | 0.242380i | ||||
\(137\) | −6.48027 | − | 19.9442i | −0.553647 | − | 1.70395i | −0.699491 | − | 0.714641i | \(-0.746590\pi\) |
0.145844 | − | 0.989308i | \(-0.453410\pi\) | |||||||
\(138\) | −0.307483 | − | 0.946334i | −0.0261746 | − | 0.0805573i | ||||
\(139\) | 9.87558 | + | 7.17503i | 0.837636 | + | 0.608578i | 0.921709 | − | 0.387882i | \(-0.126793\pi\) |
−0.0840734 | + | 0.996460i | \(0.526793\pi\) | |||||||
\(140\) | 3.41483 | − | 2.48102i | 0.288606 | − | 0.209685i | ||||
\(141\) | −0.812859 | + | 2.50172i | −0.0684551 | + | 0.210683i | ||||
\(142\) | −2.32331 | −0.194968 | ||||||||
\(143\) | 3.10182 | − | 1.17419i | 0.259387 | − | 0.0981903i | ||||
\(144\) | 2.28570 | 0.190475 | ||||||||
\(145\) | −1.12828 | + | 3.47249i | −0.0936985 | + | 0.288374i | ||||
\(146\) | 4.58876 | − | 3.33393i | 0.379769 | − | 0.275918i | ||||
\(147\) | 1.07076 | + | 0.777953i | 0.0883148 | + | 0.0641645i | ||||
\(148\) | −5.70335 | − | 17.5531i | −0.468813 | − | 1.44286i | ||||
\(149\) | −1.82404 | − | 5.61381i | −0.149431 | − | 0.459901i | 0.848123 | − | 0.529799i | \(-0.177733\pi\) |
−0.997554 | + | 0.0698979i | \(0.977733\pi\) | |||||||
\(150\) | −1.88958 | − | 1.37286i | −0.154284 | − | 0.112094i | ||||
\(151\) | −2.71948 | + | 1.97582i | −0.221308 | + | 0.160790i | −0.692915 | − | 0.721019i | \(-0.743674\pi\) |
0.471607 | + | 0.881809i | \(0.343674\pi\) | |||||||
\(152\) | −1.48577 | + | 4.57274i | −0.120512 | + | 0.370898i | ||||
\(153\) | 2.37030 | 0.191627 | ||||||||
\(154\) | −5.06273 | − | 1.38178i | −0.407967 | − | 0.111347i | ||||
\(155\) | 0.887375 | 0.0712757 | ||||||||
\(156\) | −0.525083 | + | 1.61604i | −0.0420403 | + | 0.129387i | ||||
\(157\) | 10.5387 | − | 7.65679i | 0.841077 | − | 0.611078i | −0.0815941 | − | 0.996666i | \(-0.526001\pi\) |
0.922671 | + | 0.385587i | \(0.126001\pi\) | |||||||
\(158\) | 2.44546 | + | 1.77673i | 0.194551 | + | 0.141349i | ||||
\(159\) | 2.34937 | + | 7.23063i | 0.186318 | + | 0.573426i | ||||
\(160\) | −1.41316 | − | 4.34926i | −0.111720 | − | 0.343839i | ||||
\(161\) | 4.23461 | + | 3.07662i | 0.333734 | + | 0.242472i | ||||
\(162\) | −0.443705 | + | 0.322370i | −0.0348607 | + | 0.0253278i | ||||
\(163\) | 4.04880 | − | 12.4609i | 0.317127 | − | 0.976015i | −0.657744 | − | 0.753242i | \(-0.728489\pi\) |
0.974870 | − | 0.222773i | \(-0.0715110\pi\) | |||||||
\(164\) | −3.39408 | −0.265033 | ||||||||
\(165\) | 0.136215 | + | 2.85243i | 0.0106043 | + | 0.222061i | ||||
\(166\) | 0.778367 | 0.0604130 | ||||||||
\(167\) | 4.81141 | − | 14.8080i | 0.372318 | − | 1.14588i | −0.572953 | − | 0.819589i | \(-0.694202\pi\) |
0.945270 | − | 0.326288i | \(-0.105798\pi\) | |||||||
\(168\) | 4.73539 | − | 3.44046i | 0.365343 | − | 0.265438i | ||||
\(169\) | −0.809017 | − | 0.587785i | −0.0622321 | − | 0.0452143i | ||||
\(170\) | −0.345887 | − | 1.06453i | −0.0265283 | − | 0.0816457i | ||||
\(171\) | 0.732333 | + | 2.25389i | 0.0560029 | + | 0.172359i | ||||
\(172\) | 2.29699 | + | 1.66886i | 0.175144 | + | 0.127250i | ||||
\(173\) | −1.23479 | + | 0.897126i | −0.0938792 | + | 0.0682072i | −0.633735 | − | 0.773550i | \(-0.718479\pi\) |
0.539855 | + | 0.841758i | \(0.318479\pi\) | |||||||
\(174\) | −0.718688 | + | 2.21189i | −0.0544836 | + | 0.167683i | ||||
\(175\) | 12.2864 | 0.928766 | ||||||||
\(176\) | 4.15827 | − | 6.33857i | 0.313442 | − | 0.477788i | ||||
\(177\) | −5.28262 | −0.397066 | ||||||||
\(178\) | 1.01954 | − | 3.13783i | 0.0764180 | − | 0.235191i | ||||
\(179\) | 13.6531 | − | 9.91956i | 1.02048 | − | 0.741423i | 0.0540993 | − | 0.998536i | \(-0.482771\pi\) |
0.966381 | + | 0.257113i | \(0.0827712\pi\) | |||||||
\(180\) | −1.18363 | − | 0.859957i | −0.0882225 | − | 0.0640974i | ||||
\(181\) | −7.42763 | − | 22.8599i | −0.552091 | − | 1.69916i | −0.703504 | − | 0.710691i | \(-0.748382\pi\) |
0.151413 | − | 0.988471i | \(-0.451618\pi\) | |||||||
\(182\) | 0.488959 | + | 1.50486i | 0.0362441 | + | 0.111548i | ||||
\(183\) | 1.37815 | + | 1.00128i | 0.101876 | + | 0.0740169i | ||||
\(184\) | 2.97786 | − | 2.16354i | 0.219531 | − | 0.159498i | ||||
\(185\) | −2.89000 | + | 8.89450i | −0.212477 | + | 0.653937i | ||||
\(186\) | 0.565237 | 0.0414452 | ||||||||
\(187\) | 4.31218 | − | 6.57316i | 0.315337 | − | 0.480677i | ||||
\(188\) | −4.46970 | −0.325986 | ||||||||
\(189\) | 0.891530 | − | 2.74385i | 0.0648493 | − | 0.199586i | ||||
\(190\) | 0.905384 | − | 0.657800i | 0.0656834 | − | 0.0477218i | ||||
\(191\) | 14.4595 | + | 10.5054i | 1.04625 | + | 0.760145i | 0.971496 | − | 0.237057i | \(-0.0761828\pi\) |
0.0747541 | + | 0.997202i | \(0.476183\pi\) | |||||||
\(192\) | 0.512491 | + | 1.57729i | 0.0369859 | + | 0.113831i | ||||
\(193\) | −4.95832 | − | 15.2601i | −0.356908 | − | 1.09845i | −0.954895 | − | 0.296943i | \(-0.904033\pi\) |
0.597988 | − | 0.801505i | \(-0.295967\pi\) | |||||||
\(194\) | 1.50907 | + | 1.09641i | 0.108345 | + | 0.0787174i | ||||
\(195\) | 0.696579 | − | 0.506094i | 0.0498831 | − | 0.0362422i | ||||
\(196\) | −0.694964 | + | 2.13888i | −0.0496403 | + | 0.152777i | ||||
\(197\) | −20.1579 | −1.43619 | −0.718097 | − | 0.695943i | \(-0.754986\pi\) | ||||
−0.718097 | + | 0.695943i | \(0.754986\pi\) | |||||||
\(198\) | 0.0867657 | + | 1.81693i | 0.00616617 | + | 0.129124i | ||||
\(199\) | 14.9087 | 1.05685 | 0.528423 | − | 0.848981i | \(-0.322783\pi\) | ||||
0.528423 | + | 0.848981i | \(0.322783\pi\) | |||||||
\(200\) | 2.66992 | − | 8.21717i | 0.188792 | − | 0.581042i | ||||
\(201\) | −5.93802 | + | 4.31422i | −0.418835 | + | 0.304302i | ||||
\(202\) | 5.33675 | + | 3.87738i | 0.375492 | + | 0.272811i | ||||
\(203\) | −3.78057 | − | 11.6354i | −0.265344 | − | 0.816646i | ||||
\(204\) | 1.24460 | + | 3.83049i | 0.0871395 | + | 0.268188i | ||||
\(205\) | 1.39138 | + | 1.01090i | 0.0971784 | + | 0.0706042i | ||||
\(206\) | −4.09037 | + | 2.97183i | −0.284990 | + | 0.207057i | ||||
\(207\) | 0.560640 | − | 1.72547i | 0.0389672 | − | 0.119929i | ||||
\(208\) | −2.28570 | −0.158485 | ||||||||
\(209\) | 7.58265 | + | 2.06954i | 0.524503 | + | 0.143153i | ||||
\(210\) | −1.36239 | −0.0940141 | ||||||||
\(211\) | −1.97745 | + | 6.08595i | −0.136133 | + | 0.418974i | −0.995765 | − | 0.0919403i | \(-0.970693\pi\) |
0.859632 | + | 0.510914i | \(0.170693\pi\) | |||||||
\(212\) | −10.4514 | + | 7.59336i | −0.717803 | + | 0.521514i | ||||
\(213\) | −3.42712 | − | 2.48995i | −0.234822 | − | 0.170608i | ||||
\(214\) | 2.52959 | + | 7.78529i | 0.172919 | + | 0.532191i | ||||
\(215\) | −0.444582 | − | 1.36828i | −0.0303202 | − | 0.0933161i | ||||
\(216\) | −1.64135 | − | 1.19251i | −0.111680 | − | 0.0811402i | ||||
\(217\) | −2.40550 | + | 1.74770i | −0.163296 | + | 0.118642i | ||||
\(218\) | −1.40198 | + | 4.31487i | −0.0949544 | + | 0.292240i | ||||
\(219\) | 10.3419 | 0.698843 | ||||||||
\(220\) | −4.53811 | + | 1.71789i | −0.305959 | + | 0.115820i | ||||
\(221\) | −2.37030 | −0.159443 | ||||||||
\(222\) | −1.84086 | + | 5.66559i | −0.123551 | + | 0.380249i | ||||
\(223\) | 21.0317 | − | 15.2804i | 1.40839 | − | 1.02325i | 0.414831 | − | 0.909898i | \(-0.363841\pi\) |
0.993555 | − | 0.113354i | \(-0.0361595\pi\) | |||||||
\(224\) | 12.3967 | + | 9.00676i | 0.828292 | + | 0.601789i | ||||
\(225\) | −1.31599 | − | 4.05021i | −0.0877329 | − | 0.270014i | ||||
\(226\) | 0.556878 | + | 1.71389i | 0.0370430 | + | 0.114006i | ||||
\(227\) | 21.6386 | + | 15.7213i | 1.43620 | + | 1.04346i | 0.988819 | + | 0.149119i | \(0.0476437\pi\) |
0.447383 | + | 0.894343i | \(0.352356\pi\) | |||||||
\(228\) | −3.25784 | + | 2.36696i | −0.215755 | + | 0.156755i | ||||
\(229\) | −0.755999 | + | 2.32673i | −0.0499578 | + | 0.153754i | −0.972923 | − | 0.231129i | \(-0.925758\pi\) |
0.922965 | + | 0.384883i | \(0.125758\pi\) | |||||||
\(230\) | −0.856743 | −0.0564920 | ||||||||
\(231\) | −5.98716 | − | 7.46410i | −0.393926 | − | 0.491102i | ||||
\(232\) | −8.60332 | −0.564836 | ||||||||
\(233\) | 5.71402 | − | 17.5859i | 0.374338 | − | 1.15209i | −0.569586 | − | 0.821932i | \(-0.692897\pi\) |
0.943924 | − | 0.330162i | \(-0.107103\pi\) | |||||||
\(234\) | 0.443705 | − | 0.322370i | 0.0290059 | − | 0.0210740i | ||||
\(235\) | 1.83233 | + | 1.33126i | 0.119528 | + | 0.0868421i | ||||
\(236\) | −2.77381 | − | 8.53692i | −0.180560 | − | 0.555706i | ||||
\(237\) | 1.70314 | + | 5.24171i | 0.110631 | + | 0.340486i | ||||
\(238\) | 3.03424 | + | 2.20451i | 0.196681 | + | 0.142897i | ||||
\(239\) | −16.9174 | + | 12.2912i | −1.09429 | + | 0.795051i | −0.980119 | − | 0.198410i | \(-0.936422\pi\) |
−0.114175 | + | 0.993461i | \(0.536422\pi\) | |||||||
\(240\) | 0.608155 | − | 1.87171i | 0.0392562 | − | 0.120818i | ||||
\(241\) | 23.3711 | 1.50546 | 0.752731 | − | 0.658328i | \(-0.228736\pi\) | ||||
0.752731 | + | 0.658328i | \(0.228736\pi\) | |||||||
\(242\) | 5.19645 | + | 3.06485i | 0.334040 | + | 0.197016i | ||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | −0.894470 | + | 2.75289i | −0.0572626 | + | 0.176236i | ||||
\(245\) | 0.921945 | − | 0.669832i | 0.0589009 | − | 0.0427940i | ||||
\(246\) | 0.886278 | + | 0.643919i | 0.0565070 | + | 0.0410548i | ||||
\(247\) | −0.732333 | − | 2.25389i | −0.0465972 | − | 0.143411i | ||||
\(248\) | 0.646132 | + | 1.98859i | 0.0410294 | + | 0.126276i | ||||
\(249\) | 1.14817 | + | 0.834193i | 0.0727622 | + | 0.0528649i | ||||
\(250\) | −3.53716 | + | 2.56989i | −0.223709 | + | 0.162534i | ||||
\(251\) | −8.11719 | + | 24.9821i | −0.512353 | + | 1.57686i | 0.275695 | + | 0.961245i | \(0.411092\pi\) |
−0.788048 | + | 0.615614i | \(0.788908\pi\) | |||||||
\(252\) | 4.90229 | 0.308815 | ||||||||
\(253\) | −3.76503 | − | 4.69381i | −0.236705 | − | 0.295097i | ||||
\(254\) | 8.20804 | 0.515018 | ||||||||
\(255\) | 0.630663 | − | 1.94098i | 0.0394937 | − | 0.121549i | ||||
\(256\) | 2.43339 | − | 1.76796i | 0.152087 | − | 0.110497i | ||||
\(257\) | −6.89518 | − | 5.00964i | −0.430109 | − | 0.312493i | 0.351583 | − | 0.936157i | \(-0.385643\pi\) |
−0.781693 | + | 0.623664i | \(0.785643\pi\) | |||||||
\(258\) | −0.283188 | − | 0.871564i | −0.0176305 | − | 0.0542612i | ||||
\(259\) | −9.68364 | − | 29.8032i | −0.601712 | − | 1.85188i | ||||
\(260\) | 1.18363 | + | 0.859957i | 0.0734056 | + | 0.0533323i | ||||
\(261\) | −3.43067 | + | 2.49253i | −0.212353 | + | 0.154284i | ||||
\(262\) | 0.806522 | − | 2.48222i | 0.0498271 | − | 0.153352i | ||||
\(263\) | 25.4425 | 1.56885 | 0.784427 | − | 0.620221i | \(-0.212957\pi\) | ||||
0.784427 | + | 0.620221i | \(0.212957\pi\) | |||||||
\(264\) | −6.29305 | + | 2.38222i | −0.387310 | + | 0.146615i | ||||
\(265\) | 6.54610 | 0.402124 | ||||||||
\(266\) | −1.15877 | + | 3.56634i | −0.0710490 | + | 0.218666i | ||||
\(267\) | 4.86682 | − | 3.53595i | 0.297844 | − | 0.216397i | ||||
\(268\) | −10.0899 | − | 7.33074i | −0.616339 | − | 0.447796i | ||||
\(269\) | 6.08164 | + | 18.7173i | 0.370804 | + | 1.14122i | 0.946266 | + | 0.323389i | \(0.104822\pi\) |
−0.575462 | + | 0.817828i | \(0.695178\pi\) | |||||||
\(270\) | 0.145926 | + | 0.449113i | 0.00888075 | + | 0.0273321i | ||||
\(271\) | 8.61902 | + | 6.26208i | 0.523568 | + | 0.380395i | 0.817946 | − | 0.575294i | \(-0.195113\pi\) |
−0.294378 | + | 0.955689i | \(0.595113\pi\) | |||||||
\(272\) | −4.38308 | + | 3.18450i | −0.265763 | + | 0.193088i | ||||
\(273\) | −0.891530 | + | 2.74385i | −0.0539579 | + | 0.166065i | ||||
\(274\) | −11.5013 | −0.694819 | ||||||||
\(275\) | −13.6259 | − | 3.71894i | −0.821675 | − | 0.224260i | ||||
\(276\) | 3.08281 | 0.185564 | ||||||||
\(277\) | 3.32125 | − | 10.2217i | 0.199554 | − | 0.614165i | −0.800339 | − | 0.599548i | \(-0.795347\pi\) |
0.999893 | − | 0.0146171i | \(-0.00465292\pi\) | |||||||
\(278\) | 5.41625 | − | 3.93514i | 0.324845 | − | 0.236014i | ||||
\(279\) | 0.833781 | + | 0.605777i | 0.0499172 | + | 0.0362669i | ||||
\(280\) | −1.55738 | − | 4.79311i | −0.0930710 | − | 0.286443i | ||||
\(281\) | 1.19919 | + | 3.69072i | 0.0715376 | + | 0.220170i | 0.980433 | − | 0.196855i | \(-0.0630728\pi\) |
−0.908895 | + | 0.417025i | \(0.863073\pi\) | |||||||
\(282\) | 1.16715 | + | 0.847984i | 0.0695028 | + | 0.0504967i | ||||
\(283\) | 18.3333 | − | 13.3199i | 1.08980 | − | 0.791786i | 0.110434 | − | 0.993883i | \(-0.464776\pi\) |
0.979365 | + | 0.202098i | \(0.0647758\pi\) | |||||||
\(284\) | 2.22433 | − | 6.84579i | 0.131990 | − | 0.406223i | ||||
\(285\) | 2.04051 | 0.120869 | ||||||||
\(286\) | −0.0867657 | − | 1.81693i | −0.00513056 | − | 0.107437i | ||||
\(287\) | −5.76275 | −0.340165 | ||||||||
\(288\) | 1.64126 | − | 5.05129i | 0.0967124 | − | 0.297650i | ||||
\(289\) | 9.20799 | − | 6.68999i | 0.541646 | − | 0.393529i | ||||
\(290\) | 1.62005 | + | 1.17703i | 0.0951326 | + | 0.0691179i | ||||
\(291\) | 1.05099 | + | 3.23462i | 0.0616102 | + | 0.189617i | ||||
\(292\) | 5.43037 | + | 16.7130i | 0.317788 | + | 0.978052i | ||||
\(293\) | −21.0141 | − | 15.2676i | −1.22766 | − | 0.891944i | −0.230943 | − | 0.972967i | \(-0.574181\pi\) |
−0.996712 | + | 0.0810236i | \(0.974181\pi\) | |||||||
\(294\) | 0.587257 | − | 0.426668i | 0.0342495 | − | 0.0248838i | ||||
\(295\) | −1.40554 | + | 4.32582i | −0.0818339 | + | 0.251859i | ||||
\(296\) | −22.0367 | −1.28086 | ||||||||
\(297\) | −1.81926 | + | 2.77314i | −0.105564 | + | 0.160914i | ||||
\(298\) | −3.23733 | −0.187534 | ||||||||
\(299\) | −0.560640 | + | 1.72547i | −0.0324227 | + | 0.0997867i | ||||
\(300\) | 5.85430 | − | 4.25339i | 0.337998 | − | 0.245570i | ||||
\(301\) | 3.90003 | + | 2.83354i | 0.224794 | + | 0.163323i | ||||
\(302\) | 0.569702 | + | 1.75336i | 0.0327826 | + | 0.100895i | ||||
\(303\) | 3.71677 | + | 11.4390i | 0.213523 | + | 0.657155i | ||||
\(304\) | −4.38231 | − | 3.18393i | −0.251343 | − | 0.182611i | ||||
\(305\) | 1.18661 | − | 0.862123i | 0.0679451 | − | 0.0493650i | ||||
\(306\) | 0.401718 | − | 1.23636i | 0.0229647 | − | 0.0706780i | ||||
\(307\) | 23.7938 | 1.35798 | 0.678991 | − | 0.734146i | \(-0.262417\pi\) | ||||
0.678991 | + | 0.734146i | \(0.262417\pi\) | |||||||
\(308\) | 8.91853 | − | 13.5947i | 0.508180 | − | 0.774633i | ||||
\(309\) | −9.21869 | −0.524433 | ||||||||
\(310\) | 0.150392 | − | 0.462860i | 0.00854171 | − | 0.0262887i | ||||
\(311\) | 0.260256 | − | 0.189087i | 0.0147578 | − | 0.0107221i | −0.580382 | − | 0.814344i | \(-0.697097\pi\) |
0.595140 | + | 0.803622i | \(0.297097\pi\) | |||||||
\(312\) | 1.64135 | + | 1.19251i | 0.0929233 | + | 0.0675128i | ||||
\(313\) | −9.45290 | − | 29.0930i | −0.534309 | − | 1.64444i | −0.745136 | − | 0.666912i | \(-0.767616\pi\) |
0.210827 | − | 0.977523i | \(-0.432384\pi\) | |||||||
\(314\) | −2.20773 | − | 6.79471i | −0.124590 | − | 0.383447i | ||||
\(315\) | −2.00967 | − | 1.46011i | −0.113232 | − | 0.0822678i | ||||
\(316\) | −7.57653 | + | 5.50467i | −0.426213 | + | 0.309662i | ||||
\(317\) | −7.91864 | + | 24.3711i | −0.444755 | + | 1.36882i | 0.437996 | + | 0.898977i | \(0.355688\pi\) |
−0.882752 | + | 0.469840i | \(0.844312\pi\) | |||||||
\(318\) | 4.16971 | 0.233826 | ||||||||
\(319\) | 0.670862 | + | 14.0483i | 0.0375611 | + | 0.786553i | ||||
\(320\) | 1.42796 | 0.0798256 | ||||||||
\(321\) | −4.61227 | + | 14.1951i | −0.257432 | + | 0.792293i | ||||
\(322\) | 2.32247 | − | 1.68737i | 0.129426 | − | 0.0940335i | ||||
\(323\) | −4.54450 | − | 3.30177i | −0.252863 | − | 0.183716i | ||||
\(324\) | −0.525083 | − | 1.61604i | −0.0291713 | − | 0.0897799i | ||||
\(325\) | 1.31599 | + | 4.05021i | 0.0729982 | + | 0.224665i | ||||
\(326\) | −5.81350 | − | 4.22376i | −0.321980 | − | 0.233932i | ||||
\(327\) | −6.69241 | + | 4.86232i | −0.370091 | + | 0.268887i | ||||
\(328\) | −1.25228 | + | 3.85414i | −0.0691459 | + | 0.212809i | ||||
\(329\) | −7.58904 | −0.418397 | ||||||||
\(330\) | 1.51093 | + | 0.412379i | 0.0831739 | + | 0.0227007i | ||||
\(331\) | 6.92200 | 0.380467 | 0.190234 | − | 0.981739i | \(-0.439075\pi\) | ||||
0.190234 | + | 0.981739i | \(0.439075\pi\) | |||||||
\(332\) | −0.745205 | + | 2.29351i | −0.0408984 | + | 0.125872i | ||||
\(333\) | −8.78740 | + | 6.38442i | −0.481546 | + | 0.349864i | ||||
\(334\) | −6.90850 | − | 5.01932i | −0.378016 | − | 0.274645i | ||||
\(335\) | 1.95290 | + | 6.01039i | 0.106698 | + | 0.328383i | ||||
\(336\) | 2.03777 | + | 6.27162i | 0.111170 | + | 0.342145i | ||||
\(337\) | −24.0335 | − | 17.4613i | −1.30919 | − | 0.951180i | −1.00000 | 0.000178979i | \(-0.999943\pi\) | |
−0.309187 | − | 0.951001i | \(-0.600057\pi\) | |||||||
\(338\) | −0.443705 | + | 0.322370i | −0.0241343 | + | 0.0175346i | ||||
\(339\) | −1.01537 | + | 3.12498i | −0.0551472 | + | 0.169726i | ||||
\(340\) | 3.46785 | 0.188071 | ||||||||
\(341\) | 3.19677 | − | 1.21013i | 0.173115 | − | 0.0655321i | ||||
\(342\) | 1.29976 | 0.0702828 | ||||||||
\(343\) | 5.06074 | − | 15.5754i | 0.273254 | − | 0.840991i | ||||
\(344\) | 2.74258 | − | 1.99260i | 0.147870 | − | 0.107434i | ||||
\(345\) | −1.26378 | − | 0.918191i | −0.0680397 | − | 0.0494338i | ||||
\(346\) | 0.258674 | + | 0.796118i | 0.0139064 | + | 0.0427996i | ||||
\(347\) | −7.00782 | − | 21.5679i | −0.376200 | − | 1.15782i | −0.942666 | − | 0.333739i | \(-0.891690\pi\) |
0.566466 | − | 0.824085i | \(-0.308310\pi\) | |||||||
\(348\) | −5.82941 | − | 4.23531i | −0.312489 | − | 0.227037i | ||||
\(349\) | 3.69218 | − | 2.68253i | 0.197638 | − | 0.143592i | −0.484565 | − | 0.874755i | \(-0.661022\pi\) |
0.682203 | + | 0.731163i | \(0.261022\pi\) | |||||||
\(350\) | 2.08230 | − | 6.40867i | 0.111304 | − | 0.342558i | ||||
\(351\) | 1.00000 | 0.0533761 | ||||||||
\(352\) | −11.0221 | − | 13.7410i | −0.587477 | − | 0.732400i | ||||
\(353\) | 9.80944 | 0.522104 | 0.261052 | − | 0.965325i | \(-0.415931\pi\) | ||||
0.261052 | + | 0.965325i | \(0.415931\pi\) | |||||||
\(354\) | −0.895298 | + | 2.75545i | −0.0475846 | + | 0.146450i | ||||
\(355\) | −2.95082 | + | 2.14389i | −0.156613 | + | 0.113786i | ||||
\(356\) | 8.26971 | + | 6.00830i | 0.438294 | + | 0.318439i | ||||
\(357\) | 2.11319 | + | 6.50373i | 0.111842 | + | 0.344214i | ||||
\(358\) | −2.86017 | − | 8.80271i | −0.151165 | − | 0.465238i | ||||
\(359\) | −0.0584317 | − | 0.0424531i | −0.00308391 | − | 0.00224059i | 0.586242 | − | 0.810136i | \(-0.300607\pi\) |
−0.589326 | + | 0.807895i | \(0.700607\pi\) | |||||||
\(360\) | −1.41324 | + | 1.02678i | −0.0744841 | + | 0.0541159i | ||||
\(361\) | −4.13578 | + | 12.7286i | −0.217673 | + | 0.669928i | ||||
\(362\) | −13.1827 | −0.692867 | ||||||||
\(363\) | 4.38061 | + | 10.0901i | 0.229923 | + | 0.529593i | ||||
\(364\) | −4.90229 | −0.256950 | ||||||||
\(365\) | 2.75167 | − | 8.46878i | 0.144029 | − | 0.443276i | ||||
\(366\) | 0.755843 | − | 0.549152i | 0.0395086 | − | 0.0287047i | ||||
\(367\) | 11.8065 | + | 8.57791i | 0.616293 | + | 0.447763i | 0.851625 | − | 0.524152i | \(-0.175618\pi\) |
−0.235331 | + | 0.971915i | \(0.575618\pi\) | |||||||
\(368\) | 1.28146 | + | 3.94391i | 0.0668005 | + | 0.205591i | ||||
\(369\) | 0.617246 | + | 1.89969i | 0.0321326 | + | 0.0988939i | ||||
\(370\) | 4.14963 | + | 3.01488i | 0.215729 | + | 0.156736i | ||||
\(371\) | −17.7452 | + | 12.8927i | −0.921286 | + | 0.669353i | ||||
\(372\) | −0.541156 | + | 1.66551i | −0.0280576 | + | 0.0863525i | ||||
\(373\) | −12.0924 | −0.626122 | −0.313061 | − | 0.949733i | \(-0.601354\pi\) | ||||
−0.313061 | + | 0.949733i | \(0.601354\pi\) | |||||||
\(374\) | −2.69777 | − | 3.36328i | −0.139499 | − | 0.173911i | ||||
\(375\) | −7.97187 | −0.411666 | ||||||||
\(376\) | −1.64915 | + | 5.07556i | −0.0850483 | + | 0.261752i | ||||
\(377\) | 3.43067 | − | 2.49253i | 0.176689 | − | 0.128372i | ||||
\(378\) | −1.28011 | − | 0.930055i | −0.0658418 | − | 0.0478369i | ||||
\(379\) | 6.13245 | + | 18.8737i | 0.315003 | + | 0.969479i | 0.975753 | + | 0.218873i | \(0.0702381\pi\) |
−0.660751 | + | 0.750606i | \(0.729762\pi\) | |||||||
\(380\) | 1.07144 | + | 3.29754i | 0.0549635 | + | 0.169160i | ||||
\(381\) | 12.1077 | + | 8.79674i | 0.620295 | + | 0.450671i | ||||
\(382\) | 7.93028 | − | 5.76168i | 0.405748 | − | 0.294793i | ||||
\(383\) | −11.6345 | + | 35.8072i | −0.594493 | + | 1.82966i | −0.0372574 | + | 0.999306i | \(0.511862\pi\) |
−0.557235 | + | 0.830355i | \(0.688138\pi\) | |||||||
\(384\) | 11.5321 | 0.588493 | ||||||||
\(385\) | −7.70519 | + | 2.91678i | −0.392693 | + | 0.148653i | ||||
\(386\) | −8.80012 | −0.447914 | ||||||||
\(387\) | 0.516344 | − | 1.58914i | 0.0262472 | − | 0.0807807i | ||||
\(388\) | −4.67541 | + | 3.39689i | −0.237358 | + | 0.172451i | ||||
\(389\) | 26.5462 | + | 19.2869i | 1.34595 | + | 0.977887i | 0.999203 | + | 0.0399270i | \(0.0127125\pi\) |
0.346743 | + | 0.937960i | \(0.387287\pi\) | |||||||
\(390\) | −0.145926 | − | 0.449113i | −0.00738923 | − | 0.0227417i | ||||
\(391\) | 1.32888 | + | 4.08988i | 0.0672045 | + | 0.206834i | ||||
\(392\) | 2.17238 | + | 1.57833i | 0.109722 | + | 0.0797177i | ||||
\(393\) | 3.84995 | − | 2.79715i | 0.194204 | − | 0.141098i | ||||
\(394\) | −3.41637 | + | 10.5145i | −0.172114 | + | 0.529713i | ||||
\(395\) | 4.74548 | 0.238771 | ||||||||
\(396\) | −5.43676 | − | 1.48386i | −0.273208 | − | 0.0745668i | ||||
\(397\) | −6.97595 | −0.350113 | −0.175057 | − | 0.984558i | \(-0.556011\pi\) | ||||
−0.175057 | + | 0.984558i | \(0.556011\pi\) | |||||||
\(398\) | 2.52672 | − | 7.77644i | 0.126653 | − | 0.389798i | ||||
\(399\) | −5.53143 | + | 4.01882i | −0.276918 | + | 0.201193i | ||||
\(400\) | 7.87496 | + | 5.72150i | 0.393748 | + | 0.286075i | ||||
\(401\) | −5.88124 | − | 18.1006i | −0.293695 | − | 0.903900i | −0.983657 | − | 0.180054i | \(-0.942373\pi\) |
0.689962 | − | 0.723846i | \(-0.257627\pi\) | |||||||
\(402\) | 1.24395 | + | 3.82848i | 0.0620425 | + | 0.190947i | ||||
\(403\) | −0.833781 | − | 0.605777i | −0.0415336 | − | 0.0301759i | ||||
\(404\) | −16.5343 | + | 12.0129i | −0.822613 | + | 0.597663i | ||||
\(405\) | −0.266070 | + | 0.818878i | −0.0132211 | + | 0.0406904i | ||||
\(406\) | −6.70983 | −0.333003 | ||||||||
\(407\) | 1.71836 | + | 35.9836i | 0.0851760 | + | 1.78364i | ||||
\(408\) | 4.80891 | 0.238077 | ||||||||
\(409\) | −5.94251 | + | 18.2892i | −0.293838 | + | 0.904341i | 0.689771 | + | 0.724028i | \(0.257711\pi\) |
−0.983609 | + | 0.180314i | \(0.942289\pi\) | |||||||
\(410\) | 0.763102 | − | 0.554426i | 0.0376869 | − | 0.0273812i | ||||
\(411\) | −16.9656 | − | 12.3262i | −0.836849 | − | 0.608007i | ||||
\(412\) | −4.84057 | − | 14.8978i | −0.238478 | − | 0.733960i | ||||
\(413\) | −4.70962 | − | 14.4947i | −0.231745 | − | 0.713238i | ||||
\(414\) | −0.805000 | − | 0.584866i | −0.0395636 | − | 0.0287446i | ||||
\(415\) | 0.988595 | − | 0.718256i | 0.0485282 | − | 0.0352578i | ||||
\(416\) | −1.64126 | + | 5.05129i | −0.0804696 | + | 0.247660i | ||||
\(417\) | 12.2069 | 0.597774 | ||||||||
\(418\) | 2.36459 | − | 3.60441i | 0.115656 | − | 0.176297i | ||||
\(419\) | −7.92185 | −0.387008 | −0.193504 | − | 0.981100i | \(-0.561985\pi\) | ||||
−0.193504 | + | 0.981100i | \(0.561985\pi\) | |||||||
\(420\) | 1.30435 | − | 4.01438i | 0.0636458 | − | 0.195882i | ||||
\(421\) | −11.2643 | + | 8.18398i | −0.548987 | + | 0.398863i | −0.827412 | − | 0.561595i | \(-0.810188\pi\) |
0.278425 | + | 0.960458i | \(0.410188\pi\) | |||||||
\(422\) | 2.83933 | + | 2.06289i | 0.138216 | + | 0.100420i | ||||
\(423\) | 0.812859 | + | 2.50172i | 0.0395226 | + | 0.121638i | ||||
\(424\) | 4.76647 | + | 14.6697i | 0.231480 | + | 0.712423i | ||||
\(425\) | 8.16642 | + | 5.93325i | 0.396130 | + | 0.287805i | ||||
\(426\) | −1.87960 | + | 1.36561i | −0.0910669 | + | 0.0661640i | ||||
\(427\) | −1.51871 | + | 4.67410i | −0.0734954 | + | 0.226196i | ||||
\(428\) | −25.3617 | −1.22590 | ||||||||
\(429\) | 1.81926 | − | 2.77314i | 0.0878345 | − | 0.133888i | ||||
\(430\) | −0.789052 | −0.0380515 | ||||||||
\(431\) | −4.12564 | + | 12.6974i | −0.198725 | + | 0.611613i | 0.801188 | + | 0.598413i | \(0.204202\pi\) |
−0.999913 | + | 0.0131998i | \(0.995798\pi\) | |||||||
\(432\) | 1.84917 | − | 1.34350i | 0.0889683 | − | 0.0646392i | ||||
\(433\) | −21.4217 | − | 15.5638i | −1.02946 | − | 0.747949i | −0.0612619 | − | 0.998122i | \(-0.519512\pi\) |
−0.968201 | + | 0.250173i | \(0.919512\pi\) | |||||||
\(434\) | 0.503926 | + | 1.55093i | 0.0241892 | + | 0.0744468i | ||||
\(435\) | 1.12828 | + | 3.47249i | 0.0540969 | + | 0.166493i | ||||
\(436\) | −11.3718 | − | 8.26207i | −0.544609 | − | 0.395681i | ||||
\(437\) | −3.47845 | + | 2.52724i | −0.166397 | + | 0.120894i | ||||
\(438\) | 1.75275 | − | 5.39441i | 0.0837497 | − | 0.257755i | ||||
\(439\) | 33.1329 | 1.58134 | 0.790672 | − | 0.612240i | \(-0.209731\pi\) | ||||
0.790672 | + | 0.612240i | \(0.209731\pi\) | |||||||
\(440\) | 0.276356 | + | 5.78707i | 0.0131748 | + | 0.275888i | ||||
\(441\) | 1.32353 | 0.0630254 | ||||||||
\(442\) | −0.401718 | + | 1.23636i | −0.0191078 | + | 0.0588077i | ||||
\(443\) | −2.21514 | + | 1.60939i | −0.105244 | + | 0.0764646i | −0.639163 | − | 0.769071i | \(-0.720719\pi\) |
0.533918 | + | 0.845536i | \(0.320719\pi\) | |||||||
\(444\) | −14.9316 | − | 10.8484i | −0.708621 | − | 0.514843i | ||||
\(445\) | −1.60060 | − | 4.92614i | −0.0758756 | − | 0.233521i | ||||
\(446\) | −4.40591 | − | 13.5600i | −0.208626 | − | 0.642084i | ||||
\(447\) | −4.77539 | − | 3.46952i | −0.225868 | − | 0.164103i | ||||
\(448\) | −3.87093 | + | 2.81240i | −0.182884 | + | 0.132873i | ||||
\(449\) | 8.30204 | − | 25.5510i | 0.391797 | − | 1.20583i | −0.539630 | − | 0.841902i | \(-0.681436\pi\) |
0.931428 | − | 0.363926i | \(-0.118564\pi\) | |||||||
\(450\) | −2.33565 | −0.110104 | ||||||||
\(451\) | 6.39103 | + | 1.74431i | 0.300942 | + | 0.0821364i | ||||
\(452\) | −5.58324 | −0.262614 | ||||||||
\(453\) | −1.03875 | + | 3.19694i | −0.0488047 | + | 0.150206i | ||||
\(454\) | 11.8676 | − | 8.62235i | 0.556976 | − | 0.404667i | ||||
\(455\) | 2.00967 | + | 1.46011i | 0.0942147 | + | 0.0684510i | ||||
\(456\) | 1.48577 | + | 4.57274i | 0.0695778 | + | 0.214138i | ||||
\(457\) | 1.49423 | + | 4.59878i | 0.0698973 | + | 0.215122i | 0.979903 | − | 0.199474i | \(-0.0639232\pi\) |
−0.910006 | + | 0.414595i | \(0.863923\pi\) | |||||||
\(458\) | 1.08551 | + | 0.788668i | 0.0507224 | + | 0.0368520i | ||||
\(459\) | 1.91761 | − | 1.39323i | 0.0895064 | − | 0.0650302i | ||||
\(460\) | 0.820243 | − | 2.52445i | 0.0382440 | − | 0.117703i | ||||
\(461\) | −2.49419 | −0.116166 | −0.0580829 | − | 0.998312i | \(-0.518499\pi\) | ||||
−0.0580829 | + | 0.998312i | \(0.518499\pi\) | |||||||
\(462\) | −4.90802 | + | 1.85792i | −0.228342 | + | 0.0864382i | ||||
\(463\) | 38.3608 | 1.78278 | 0.891389 | − | 0.453239i | \(-0.149731\pi\) | ||||
0.891389 | + | 0.453239i | \(0.149731\pi\) | |||||||
\(464\) | 2.99518 | − | 9.21822i | 0.139048 | − | 0.427945i | ||||
\(465\) | 0.717901 | − | 0.521586i | 0.0332919 | − | 0.0241880i | ||||
\(466\) | −8.20452 | − | 5.96094i | −0.380067 | − | 0.276135i | ||||
\(467\) | 0.510228 | + | 1.57032i | 0.0236105 | + | 0.0726658i | 0.962168 | − | 0.272459i | \(-0.0878368\pi\) |
−0.938557 | + | 0.345124i | \(0.887837\pi\) | |||||||
\(468\) | 0.525083 | + | 1.61604i | 0.0242720 | + | 0.0747014i | ||||
\(469\) | −17.1315 | − | 12.4468i | −0.791059 | − | 0.574738i | ||||
\(470\) | 1.00494 | − | 0.730131i | 0.0463544 | − | 0.0336784i | ||||
\(471\) | 4.02541 | − | 12.3889i | 0.185481 | − | 0.570853i | ||||
\(472\) | −10.7175 | −0.493313 | ||||||||
\(473\) | −3.46756 | − | 4.32295i | −0.159438 | − | 0.198770i | ||||
\(474\) | 3.02276 | 0.138840 | ||||||||
\(475\) | −3.11875 | + | 9.59851i | −0.143098 | + | 0.440410i | ||||
\(476\) | −9.40069 | + | 6.83000i | −0.430880 | + | 0.313052i | ||||
\(477\) | 6.15074 | + | 4.46878i | 0.281623 | + | 0.204611i | ||||
\(478\) | 3.54400 | + | 10.9073i | 0.162099 | + | 0.498889i | ||||
\(479\) | −5.30948 | − | 16.3409i | −0.242596 | − | 0.746635i | −0.996022 | − | 0.0891023i | \(-0.971600\pi\) |
0.753426 | − | 0.657533i | \(-0.228400\pi\) | |||||||
\(480\) | −3.69970 | − | 2.68799i | −0.168867 | − | 0.122689i | ||||
\(481\) | 8.78740 | − | 6.38442i | 0.400671 | − | 0.291104i | ||||
\(482\) | 3.96093 | − | 12.1905i | 0.180415 | − | 0.555261i | ||||
\(483\) | 5.23426 | 0.238167 | ||||||||
\(484\) | −14.0058 | + | 12.3774i | −0.636628 | + | 0.562608i | ||||
\(485\) | 2.92839 | 0.132972 | ||||||||
\(486\) | −0.169480 | + | 0.521606i | −0.00768777 | + | 0.0236605i | ||||
\(487\) | −18.3025 | + | 13.2975i | −0.829365 | + | 0.602569i | −0.919380 | − | 0.393371i | \(-0.871309\pi\) |
0.0900145 | + | 0.995940i | \(0.471309\pi\) | |||||||
\(488\) | 2.79602 | + | 2.03143i | 0.126570 | + | 0.0919583i | ||||
\(489\) | −4.04880 | − | 12.4609i | −0.183093 | − | 0.563503i | ||||
\(490\) | −0.193137 | − | 0.594415i | −0.00872505 | − | 0.0268529i | ||||
\(491\) | −14.0339 | − | 10.1962i | −0.633340 | − | 0.460148i | 0.224216 | − | 0.974540i | \(-0.428018\pi\) |
−0.857556 | + | 0.514391i | \(0.828018\pi\) | |||||||
\(492\) | −2.74587 | + | 1.99499i | −0.123793 | + | 0.0899410i | ||||
\(493\) | 3.10604 | − | 9.55940i | 0.139889 | − | 0.430534i | ||||
\(494\) | −1.29976 | −0.0584788 | ||||||||
\(495\) | 1.78681 | + | 2.22760i | 0.0803113 | + | 0.100123i | ||||
\(496\) | −2.35567 | −0.105773 | ||||||||
\(497\) | 3.77666 | − | 11.6234i | 0.169406 | − | 0.521379i | ||||
\(498\) | 0.629712 | − | 0.457513i | 0.0282181 | − | 0.0205016i | ||||
\(499\) | −18.2528 | − | 13.2614i | −0.817107 | − | 0.593663i | 0.0987757 | − | 0.995110i | \(-0.468507\pi\) |
−0.915882 | + | 0.401447i | \(0.868507\pi\) | |||||||
\(500\) | −4.18589 | − | 12.8829i | −0.187199 | − | 0.576139i | ||||
\(501\) | −4.81141 | − | 14.8080i | −0.214958 | − | 0.661572i | ||||
\(502\) | 11.6551 | + | 8.46795i | 0.520194 | + | 0.377943i | ||||
\(503\) | −0.311011 | + | 0.225963i | −0.0138673 | + | 0.0100752i | −0.594697 | − | 0.803950i | \(-0.702728\pi\) |
0.580830 | + | 0.814025i | \(0.302728\pi\) | |||||||
\(504\) | 1.80876 | − | 5.56679i | 0.0805685 | − | 0.247964i | ||||
\(505\) | 10.3561 | 0.460840 | ||||||||
\(506\) | −3.08642 | + | 1.16836i | −0.137208 | + | 0.0519397i | ||||
\(507\) | −1.00000 | −0.0444116 | ||||||||
\(508\) | −7.85834 | + | 24.1855i | −0.348658 | + | 1.07306i | ||||
\(509\) | 21.1729 | − | 15.3830i | 0.938472 | − | 0.681840i | −0.00958015 | − | 0.999954i | \(-0.503050\pi\) |
0.948052 | + | 0.318114i | \(0.103050\pi\) | |||||||
\(510\) | −0.905543 | − | 0.657916i | −0.0400981 | − | 0.0291330i | ||||
\(511\) | 9.22015 | + | 28.3767i | 0.407875 | + | 1.25531i | ||||
\(512\) | 6.61744 | + | 20.3664i | 0.292452 | + | 0.900075i | ||||
\(513\) | 1.91727 | + | 1.39298i | 0.0846496 | + | 0.0615015i | ||||
\(514\) | −3.78165 | + | 2.74753i | −0.166802 | + | 0.121188i | ||||
\(515\) | −2.45281 | + | 7.54898i | −0.108084 | + | 0.332648i | ||||
\(516\) | 2.83924 | 0.124991 | ||||||||
\(517\) | 8.41643 | + | 2.29710i | 0.370154 | + | 0.101026i | ||||
\(518\) | −17.1867 | −0.755140 | ||||||||
\(519\) | −0.471647 | + | 1.45158i | −0.0207030 | + | 0.0637173i | ||||
\(520\) | 1.41324 | − | 1.02678i | 0.0619745 | − | 0.0450271i | ||||
\(521\) | 19.8204 | + | 14.4004i | 0.868347 | + | 0.630891i | 0.930143 | − | 0.367198i | \(-0.119683\pi\) |
−0.0617957 | + | 0.998089i | \(0.519683\pi\) | |||||||
\(522\) | 0.718688 | + | 2.21189i | 0.0314561 | + | 0.0968119i | ||||
\(523\) | −3.25528 | − | 10.0187i | −0.142343 | − | 0.438088i | 0.854316 | − | 0.519753i | \(-0.173976\pi\) |
−0.996660 | + | 0.0816653i | \(0.973976\pi\) | |||||||
\(524\) | 6.54185 | + | 4.75294i | 0.285782 | + | 0.207633i | ||||
\(525\) | 9.93992 | − | 7.22178i | 0.433814 | − | 0.315184i | ||||
\(526\) | 4.31200 | − | 13.2710i | 0.188012 | − | 0.578642i | ||||
\(527\) | −2.44285 | −0.106412 | ||||||||
\(528\) | −0.361602 | − | 7.57218i | −0.0157367 | − | 0.329537i | ||||
\(529\) | −19.7084 | −0.856888 | ||||||||
\(530\) | 1.10943 | − | 3.41449i | 0.0481907 | − | 0.148316i | ||||
\(531\) | −4.27373 | + | 3.10505i | −0.185464 | + | 0.134747i | ||||
\(532\) | −9.39903 | − | 6.82879i | −0.407500 | − | 0.296066i | ||||
\(533\) | −0.617246 | − | 1.89969i | −0.0267359 | − | 0.0822847i | ||||
\(534\) | −1.01954 | − | 3.13783i | −0.0441200 | − | 0.135787i | ||||
\(535\) | 10.3969 | + | 7.55377i | 0.449496 | + | 0.326578i | ||||
\(536\) | −12.0472 | + | 8.75280i | −0.520360 | + | 0.378063i | ||||
\(537\) | 5.21502 | − | 16.0502i | 0.225045 | − | 0.692617i | ||||
\(538\) | 10.7938 | 0.465354 | ||||||||
\(539\) | 2.40784 | − | 3.67034i | 0.103713 | − | 0.158093i | ||||
\(540\) | −1.46305 | −0.0629595 | ||||||||
\(541\) | −9.94607 | + | 30.6108i | −0.427615 | + | 1.31606i | 0.472853 | + | 0.881141i | \(0.343224\pi\) |
−0.900468 | + | 0.434922i | \(0.856776\pi\) | |||||||
\(542\) | 4.72709 | − | 3.43443i | 0.203046 | − | 0.147522i | ||||
\(543\) | −19.4458 | − | 14.1282i | −0.834498 | − | 0.606298i | ||||
\(544\) | 3.89028 | + | 11.9730i | 0.166794 | + | 0.513340i | ||||
\(545\) | 2.20100 | + | 6.77398i | 0.0942804 | + | 0.290165i | ||||
\(546\) | 1.28011 | + | 0.930055i | 0.0547837 | + | 0.0398027i | ||||
\(547\) | 2.19772 | − | 1.59674i | 0.0939679 | − | 0.0682716i | −0.539809 | − | 0.841787i | \(-0.681504\pi\) |
0.633777 | + | 0.773516i | \(0.281504\pi\) | |||||||
\(548\) | 11.0113 | − | 33.8893i | 0.470379 | − | 1.44768i | ||||
\(549\) | 1.70348 | 0.0727029 | ||||||||
\(550\) | −4.24915 | + | 6.47709i | −0.181184 | + | 0.276184i | ||||
\(551\) | 10.0496 | 0.428126 | ||||||||
\(552\) | 1.13744 | − | 3.50068i | 0.0484127 | − | 0.148999i | ||||
\(553\) | −12.8641 | + | 9.34630i | −0.547036 | + | 0.397445i | ||||
\(554\) | −4.76884 | − | 3.46476i | −0.202608 | − | 0.147204i | ||||
\(555\) | 2.89000 | + | 8.89450i | 0.122674 | + | 0.377551i | ||||
\(556\) | 6.40963 | + | 19.7268i | 0.271829 | + | 0.836603i | ||||
\(557\) | 21.0858 | + | 15.3197i | 0.893433 | + | 0.649117i | 0.936771 | − | 0.349943i | \(-0.113799\pi\) |
−0.0433378 | + | 0.999060i | \(0.513799\pi\) | |||||||
\(558\) | 0.457286 | − | 0.332238i | 0.0193585 | − | 0.0140648i | ||||
\(559\) | −0.516344 | + | 1.58914i | −0.0218390 | + | 0.0672136i | ||||
\(560\) | 5.67788 | 0.239934 | ||||||||
\(561\) | −0.374985 | − | 7.85243i | −0.0158319 | − | 0.331530i | ||||
\(562\) | 2.12834 | 0.0897787 | ||||||||
\(563\) | 6.27595 | − | 19.3154i | 0.264500 | − | 0.814047i | −0.727308 | − | 0.686311i | \(-0.759229\pi\) |
0.991808 | − | 0.127736i | \(-0.0407710\pi\) | |||||||
\(564\) | −3.61606 | + | 2.62722i | −0.152264 | + | 0.110626i | ||||
\(565\) | 2.28882 | + | 1.66292i | 0.0962914 | + | 0.0699598i | ||||
\(566\) | −3.84062 | − | 11.8202i | −0.161433 | − | 0.496840i | ||||
\(567\) | −0.891530 | − | 2.74385i | −0.0374408 | − | 0.115231i | ||||
\(568\) | −6.95302 | − | 5.05167i | −0.291742 | − | 0.211963i | ||||
\(569\) | 8.31780 | − | 6.04324i | 0.348700 | − | 0.253346i | −0.399623 | − | 0.916679i | \(-0.630859\pi\) |
0.748324 | + | 0.663334i | \(0.230859\pi\) | |||||||
\(570\) | 0.345826 | − | 1.06434i | 0.0144850 | − | 0.0445804i | ||||
\(571\) | −7.56987 | −0.316789 | −0.158395 | − | 0.987376i | \(-0.550632\pi\) | ||||
−0.158395 | + | 0.987376i | \(0.550632\pi\) | |||||||
\(572\) | 5.43676 | + | 1.48386i | 0.227322 | + | 0.0620433i | ||||
\(573\) | 17.8729 | 0.746650 | ||||||||
\(574\) | −0.976672 | + | 3.00589i | −0.0407655 | + | 0.125463i | ||||
\(575\) | 6.25073 | − | 4.54142i | 0.260674 | − | 0.189390i | ||||
\(576\) | 1.34172 | + | 0.974817i | 0.0559050 | + | 0.0406174i | ||||
\(577\) | 2.68657 | + | 8.26841i | 0.111843 | + | 0.344218i | 0.991276 | − | 0.131806i | \(-0.0420775\pi\) |
−0.879432 | + | 0.476024i | \(0.842078\pi\) | |||||||
\(578\) | −1.92897 | − | 5.93676i | −0.0802346 | − | 0.246937i | ||||
\(579\) | −12.9810 | − | 9.43128i | −0.539474 | − | 0.391951i | ||||
\(580\) | −5.01923 | + | 3.64669i | −0.208412 | + | 0.151420i | ||||
\(581\) | −1.26527 | + | 3.89411i | −0.0524924 | + | 0.161555i | ||||
\(582\) | 1.86532 | 0.0773199 | ||||||||
\(583\) | 23.5823 | − | 8.92702i | 0.976680 | − | 0.369720i | ||||
\(584\) | 20.9820 | 0.868240 | ||||||||
\(585\) | 0.266070 | − | 0.818878i | 0.0110006 | − | 0.0338564i | ||||
\(586\) | −11.5251 | + | 8.37351i | −0.476099 | + | 0.345906i | ||||
\(587\) | 13.4552 | + | 9.77576i | 0.555355 | + | 0.403489i | 0.829756 | − | 0.558126i | \(-0.188480\pi\) |
−0.274401 | + | 0.961615i | \(0.588480\pi\) | |||||||
\(588\) | 0.694964 | + | 2.13888i | 0.0286598 | + | 0.0882059i | ||||
\(589\) | −0.754749 | − | 2.32288i | −0.0310989 | − | 0.0957126i | ||||
\(590\) | 2.01816 | + | 1.46628i | 0.0830864 | + | 0.0603658i | ||||
\(591\) | −16.3081 | + | 11.8485i | −0.670826 | + | 0.487384i | ||||
\(592\) | 7.67192 | − | 23.6118i | 0.315314 | − | 0.970437i | ||||
\(593\) | 13.8633 | 0.569297 | 0.284649 | − | 0.958632i | \(-0.408123\pi\) | ||||
0.284649 | + | 0.958632i | \(0.408123\pi\) | |||||||
\(594\) | 1.13816 | + | 1.41893i | 0.0466992 | + | 0.0582193i | ||||
\(595\) | 5.88802 | 0.241385 | ||||||||
\(596\) | 3.09941 | − | 9.53900i | 0.126957 | − | 0.390733i | ||||
\(597\) | 12.0614 | − | 8.76309i | 0.493638 | − | 0.358649i | ||||
\(598\) | 0.805000 | + | 0.584866i | 0.0329189 | + | 0.0239170i | ||||
\(599\) | −12.8816 | − | 39.6455i | −0.526329 | − | 1.61987i | −0.761674 | − | 0.647961i | \(-0.775622\pi\) |
0.235345 | − | 0.971912i | \(-0.424378\pi\) | |||||||
\(600\) | −2.66992 | − | 8.21717i | −0.108999 | − | 0.335465i | ||||
\(601\) | −15.3781 | − | 11.1729i | −0.627287 | − | 0.455751i | 0.228172 | − | 0.973621i | \(-0.426725\pi\) |
−0.855459 | + | 0.517870i | \(0.826725\pi\) | |||||||
\(602\) | 2.13897 | − | 1.55405i | 0.0871779 | − | 0.0633384i | ||||
\(603\) | −2.26812 | + | 6.98056i | −0.0923650 | + | 0.284270i | ||||
\(604\) | −5.71182 | −0.232410 | ||||||||
\(605\) | 9.42811 | − | 0.902519i | 0.383307 | − | 0.0366926i | ||||
\(606\) | 6.59659 | 0.267968 | ||||||||
\(607\) | −13.3917 | + | 41.2154i | −0.543552 | + | 1.67288i | 0.180855 | + | 0.983510i | \(0.442113\pi\) |
−0.724408 | + | 0.689372i | \(0.757887\pi\) | |||||||
\(608\) | −10.1831 | + | 7.39845i | −0.412979 | + | 0.300047i | ||||
\(609\) | −9.89767 | − | 7.19108i | −0.401074 | − | 0.291397i | ||||
\(610\) | −0.248582 | − | 0.765056i | −0.0100648 | − | 0.0309762i | ||||
\(611\) | −0.812859 | − | 2.50172i | −0.0328848 | − | 0.101209i | ||||
\(612\) | 3.25841 | + | 2.36737i | 0.131713 | + | 0.0956954i | ||||
\(613\) | 5.58239 | − | 4.05584i | 0.225471 | − | 0.163814i | −0.469315 | − | 0.883031i | \(-0.655499\pi\) |
0.694786 | + | 0.719217i | \(0.255499\pi\) | |||||||
\(614\) | 4.03257 | − | 12.4110i | 0.162741 | − | 0.500866i | ||||
\(615\) | 1.71984 | 0.0693508 | ||||||||
\(616\) | −12.1469 | − | 15.1434i | −0.489412 | − | 0.610143i | ||||
\(617\) | −26.7547 | −1.07710 | −0.538552 | − | 0.842592i | \(-0.681029\pi\) | ||||
−0.538552 | + | 0.842592i | \(0.681029\pi\) | |||||||
\(618\) | −1.56238 | + | 4.80852i | −0.0628483 | + | 0.193427i | ||||
\(619\) | 6.30059 | − | 4.57765i | 0.253242 | − | 0.183991i | −0.453920 | − | 0.891042i | \(-0.649975\pi\) |
0.707162 | + | 0.707051i | \(0.249975\pi\) | |||||||
\(620\) | 1.21986 | + | 0.886281i | 0.0489908 | + | 0.0355939i | ||||
\(621\) | −0.560640 | − | 1.72547i | −0.0224977 | − | 0.0692408i | ||||
\(622\) | −0.0545207 | − | 0.167797i | −0.00218608 | − | 0.00672806i | ||||
\(623\) | 14.0410 | + | 10.2014i | 0.562542 | + | 0.408710i | ||||
\(624\) | −1.84917 | + | 1.34350i | −0.0740261 | + | 0.0537831i | ||||
\(625\) | 4.45890 | − | 13.7231i | 0.178356 | − | 0.548923i | ||||
\(626\) | −16.7772 | −0.670551 | ||||||||
\(627\) | 7.35094 | − | 2.78268i | 0.293568 | − | 0.111129i | ||||
\(628\) | 22.1347 | 0.883270 | ||||||||
\(629\) | 7.95587 | − | 24.4856i | 0.317221 | − | 0.976306i | ||||
\(630\) | −1.10220 | + | 0.800795i | −0.0439127 | + | 0.0319044i | ||||
\(631\) | 4.68114 | + | 3.40104i | 0.186353 | + | 0.135393i | 0.677050 | − | 0.735937i | \(-0.263258\pi\) |
−0.490697 | + | 0.871330i | \(0.663258\pi\) | |||||||
\(632\) | 3.45536 | + | 10.6345i | 0.137447 | + | 0.423018i | ||||
\(633\) | 1.97745 | + | 6.08595i | 0.0785964 | + | 0.241895i | ||||
\(634\) | 11.3701 | + | 8.26083i | 0.451562 | + | 0.328079i | ||||
\(635\) | 10.4249 | − | 7.57416i | 0.413701 | − | 0.300571i | ||||
\(636\) | −3.99207 | + | 12.2863i | −0.158296 | + | 0.487184i | ||||
\(637\) | −1.32353 | −0.0524403 | ||||||||
\(638\) | 7.44137 | + | 2.03098i | 0.294607 | + | 0.0804072i | ||||
\(639\) | −4.23615 | −0.167580 | ||||||||
\(640\) | 3.06833 | − | 9.44335i | 0.121286 | − | 0.373281i | ||||
\(641\) | 19.6740 | − | 14.2940i | 0.777077 | − | 0.564580i | −0.127023 | − | 0.991900i | \(-0.540542\pi\) |
0.904100 | + | 0.427320i | \(0.140542\pi\) | |||||||
\(642\) | 6.62256 | + | 4.81157i | 0.261372 | + | 0.189898i | ||||
\(643\) | −3.62688 | − | 11.1624i | −0.143030 | − | 0.440201i | 0.853722 | − | 0.520728i | \(-0.174340\pi\) |
−0.996752 | + | 0.0805273i | \(0.974340\pi\) | |||||||
\(644\) | 2.74842 | + | 8.45877i | 0.108303 | + | 0.333322i | ||||
\(645\) | −1.16393 | − | 0.845645i | −0.0458297 | − | 0.0332973i | ||||
\(646\) | −2.49243 | + | 1.81085i | −0.0980632 | + | 0.0712471i | ||||
\(647\) | −7.43368 | + | 22.8785i | −0.292248 | + | 0.899447i | 0.691884 | + | 0.722009i | \(0.256781\pi\) |
−0.984132 | + | 0.177438i | \(0.943219\pi\) | |||||||
\(648\) | −2.02882 | −0.0796998 | ||||||||
\(649\) | 0.835720 | + | 17.5005i | 0.0328049 | + | 0.686955i | ||||
\(650\) | 2.33565 | 0.0916117 | ||||||||
\(651\) | −0.918820 | + | 2.82784i | −0.0360114 | + | 0.110832i | ||||
\(652\) | 18.0114 | − | 13.0860i | 0.705380 | − | 0.512489i | ||||
\(653\) | 15.8385 | + | 11.5073i | 0.619808 | + | 0.450317i | 0.852855 | − | 0.522149i | \(-0.174869\pi\) |
−0.233046 | + | 0.972466i | \(0.574869\pi\) | |||||||
\(654\) | 1.40198 | + | 4.31487i | 0.0548219 | + | 0.168725i | ||||
\(655\) | −1.26617 | − | 3.89688i | −0.0494735 | − | 0.152264i | ||||
\(656\) | −3.69363 | − | 2.68358i | −0.144212 | − | 0.104776i | ||||
\(657\) | 8.36680 | − | 6.07883i | 0.326420 | − | 0.237158i | ||||
\(658\) | −1.28619 | + | 3.95849i | −0.0501409 | + | 0.154318i | ||||
\(659\) | 9.76928 | 0.380557 | 0.190279 | − | 0.981730i | \(-0.439061\pi\) | ||||
0.190279 | + | 0.981730i | \(0.439061\pi\) | |||||||
\(660\) | −2.66166 | + | 4.05723i | −0.103605 | + | 0.157928i | ||||
\(661\) | 7.70930 | 0.299857 | 0.149929 | − | 0.988697i | \(-0.452096\pi\) | ||||
0.149929 | + | 0.988697i | \(0.452096\pi\) | |||||||
\(662\) | 1.17314 | − | 3.61056i | 0.0455954 | − | 0.140328i | ||||
\(663\) | −1.91761 | + | 1.39323i | −0.0744738 | + | 0.0541084i | ||||
\(664\) | 2.32943 | + | 1.69243i | 0.0903995 | + | 0.0656791i | ||||
\(665\) | 1.81918 | + | 5.59885i | 0.0705447 | + | 0.217114i | ||||
\(666\) | 1.84086 | + | 5.66559i | 0.0713319 | + | 0.219537i | ||||
\(667\) | −6.22416 | − | 4.52212i | −0.241001 | − | 0.175097i | ||||
\(668\) | 21.4039 | − | 15.5508i | 0.828142 | − | 0.601680i | ||||
\(669\) | 8.03339 | − | 24.7242i | 0.310589 | − | 0.955894i | ||||
\(670\) | 3.46603 | 0.133905 | ||||||||
\(671\) | 3.09907 | − | 4.72400i | 0.119638 | − | 0.182368i | ||||
\(672\) | 15.3232 | 0.591106 | ||||||||
\(673\) | −8.99157 | + | 27.6732i | −0.346599 | + | 1.06672i | 0.614123 | + | 0.789211i | \(0.289510\pi\) |
−0.960722 | + | 0.277513i | \(0.910490\pi\) | |||||||
\(674\) | −13.1811 | + | 9.57666i | −0.507719 | + | 0.368879i | ||||
\(675\) | −3.44532 | − | 2.50317i | −0.132610 | − | 0.0963470i | ||||
\(676\) | −0.525083 | − | 1.61604i | −0.0201955 | − | 0.0621553i | ||||
\(677\) | 11.8305 | + | 36.4106i | 0.454683 | + | 1.39937i | 0.871506 | + | 0.490384i | \(0.163143\pi\) |
−0.416823 | + | 0.908988i | \(0.636857\pi\) | |||||||
\(678\) | 1.45792 | + | 1.05924i | 0.0559913 | + | 0.0406800i | ||||
\(679\) | −7.93831 | + | 5.76752i | −0.304645 | + | 0.221337i | ||||
\(680\) | 1.27951 | − | 3.93791i | 0.0490668 | − | 0.151012i | ||||
\(681\) | 26.7467 | 1.02494 | ||||||||
\(682\) | −0.0894216 | − | 1.87255i | −0.00342413 | − | 0.0717035i | ||||
\(683\) | 20.9870 | 0.803046 | 0.401523 | − | 0.915849i | \(-0.368481\pi\) | ||||
0.401523 | + | 0.915849i | \(0.368481\pi\) | |||||||
\(684\) | −1.24438 | + | 3.82982i | −0.0475801 | + | 0.146437i | ||||
\(685\) | −14.6077 | + | 10.6131i | −0.558130 | + | 0.405505i | ||||
\(686\) | −7.26651 | − | 5.27943i | −0.277437 | − | 0.201570i | ||||
\(687\) | 0.755999 | + | 2.32673i | 0.0288432 | + | 0.0887702i | ||||
\(688\) | 1.18021 | + | 3.63231i | 0.0449950 | + | 0.138480i | ||||
\(689\) | −6.15074 | − | 4.46878i | −0.234325 | − | 0.170247i | ||||
\(690\) | −0.693120 | + | 0.503581i | −0.0263866 | + | 0.0191710i | ||||
\(691\) | 0.814167 | − | 2.50575i | 0.0309724 | − | 0.0953232i | −0.934375 | − | 0.356290i | \(-0.884041\pi\) |
0.965348 | + | 0.260967i | \(0.0840414\pi\) | |||||||
\(692\) | −2.59346 | −0.0985887 | ||||||||
\(693\) | −9.23100 | − | 2.51942i | −0.350657 | − | 0.0957050i | ||||
\(694\) | −12.4376 | −0.472125 | ||||||||
\(695\) | 3.24788 | − | 9.99595i | 0.123199 | − | 0.379168i | ||||
\(696\) | −6.96023 | + | 5.05690i | −0.263827 | + | 0.191681i | ||||
\(697\) | −3.83033 | − | 2.78290i | −0.145084 | − | 0.105410i | ||||
\(698\) | −0.773472 | − | 2.38050i | −0.0292763 | − | 0.0901033i | ||||
\(699\) | −5.71402 | − | 17.5859i | −0.216124 | − | 0.665162i | ||||
\(700\) | 16.8900 | + | 12.2713i | 0.638380 | + | 0.463810i | ||||
\(701\) | 13.6947 | − | 9.94975i | 0.517240 | − | 0.375797i | −0.298323 | − | 0.954465i | \(-0.596427\pi\) |
0.815563 | + | 0.578668i | \(0.196427\pi\) | |||||||
\(702\) | 0.169480 | − | 0.521606i | 0.00639661 | − | 0.0196868i | ||||
\(703\) | 25.7412 | 0.970847 | ||||||||
\(704\) | 5.14424 | − | 1.94734i | 0.193881 | − | 0.0733930i | ||||
\(705\) | 2.26488 | 0.0853004 | ||||||||
\(706\) | 1.66250 | − | 5.11666i | 0.0625692 | − | 0.192568i | ||||
\(707\) | −28.0734 | + | 20.3965i | −1.05581 | + | 0.767089i | ||||
\(708\) | −7.26193 | − | 5.27610i | −0.272920 | − | 0.198288i | ||||
\(709\) | 12.8151 | + | 39.4409i | 0.481283 | + | 1.48124i | 0.837293 | + | 0.546754i | \(0.184137\pi\) |
−0.356011 | + | 0.934482i | \(0.615863\pi\) | |||||||
\(710\) | 0.618163 | + | 1.90251i | 0.0231992 | + | 0.0713999i | ||||
\(711\) | 4.45887 | + | 3.23956i | 0.167221 | + | 0.121493i | ||||
\(712\) | 9.87392 | − | 7.17382i | 0.370041 | − | 0.268850i | ||||
\(713\) | −0.577801 | + | 1.77829i | −0.0216388 | + | 0.0665975i | ||||
\(714\) | 3.75053 | 0.140360 | ||||||||
\(715\) | −1.78681 | − | 2.22760i | −0.0668231 | − | 0.0833074i | ||||
\(716\) | 28.6760 | 1.07167 | ||||||||
\(717\) | −6.46186 | + | 19.8876i | −0.241323 | + | 0.742715i | ||||
\(718\) | −0.0320468 | + | 0.0232834i | −0.00119598 | + | 0.000868928i | ||||
\(719\) | 21.0968 | + | 15.3277i | 0.786777 | + | 0.571627i | 0.907005 | − | 0.421119i | \(-0.138363\pi\) |
−0.120228 | + | 0.992746i | \(0.538363\pi\) | |||||||
\(720\) | −0.608155 | − | 1.87171i | −0.0226646 | − | 0.0697545i | ||||
\(721\) | −8.21874 | − | 25.2947i | −0.306082 | − | 0.942023i | ||||
\(722\) | 5.93840 | + | 4.31450i | 0.221004 | + | 0.160569i | ||||
\(723\) | 18.9076 | − | 13.7372i | 0.703180 | − | 0.510891i | ||||
\(724\) | 12.6210 | − | 38.8436i | 0.469058 | − | 1.44361i | ||||
\(725\) | −18.0590 | −0.670694 | ||||||||
\(726\) | 6.00549 | − | 0.574883i | 0.222884 | − | 0.0213359i | ||||
\(727\) | −48.9788 | −1.81652 | −0.908261 | − | 0.418403i | \(-0.862590\pi\) | ||||
−0.908261 | + | 0.418403i | \(0.862590\pi\) | |||||||
\(728\) | −1.80876 | + | 5.56679i | −0.0670371 | + | 0.206319i | ||||
\(729\) | −0.809017 | + | 0.587785i | −0.0299636 | + | 0.0217698i | ||||
\(730\) | −3.95101 | − | 2.87058i | −0.146233 | − | 0.106245i | ||||
\(731\) | 1.22389 | + | 3.76674i | 0.0452671 | + | 0.139318i | ||||
\(732\) | 0.894470 | + | 2.75289i | 0.0330606 | + | 0.101750i | ||||
\(733\) | −41.5744 | − | 30.2056i | −1.53559 | − | 1.11567i | −0.953028 | − | 0.302881i | \(-0.902052\pi\) |
−0.582559 | − | 0.812789i | \(-0.697948\pi\) | |||||||
\(734\) | 6.47525 | − | 4.70455i | 0.239006 | − | 0.173648i | ||||
\(735\) | 0.352152 | − | 1.08381i | 0.0129893 | − | 0.0399770i | ||||
\(736\) | 9.63602 | 0.355188 | ||||||||
\(737\) | 15.2318 | + | 18.9892i | 0.561070 | + | 0.699478i | ||||
\(738\) | 1.09550 | 0.0403259 | ||||||||
\(739\) | −0.611781 | + | 1.88287i | −0.0225047 | + | 0.0692624i | −0.961678 | − | 0.274181i | \(-0.911593\pi\) |
0.939173 | + | 0.343443i | \(0.111593\pi\) | |||||||
\(740\) | −12.8564 | + | 9.34070i | −0.472610 | + | 0.343371i | ||||
\(741\) | −1.91727 | − | 1.39298i | −0.0704327 | − | 0.0511724i | ||||
\(742\) | 3.71743 | + | 11.4411i | 0.136471 | + | 0.420015i | ||||
\(743\) | −6.53858 | − | 20.1237i | −0.239877 | − | 0.738267i | −0.996437 | − | 0.0843418i | \(-0.973121\pi\) |
0.756560 | − | 0.653925i | \(-0.226879\pi\) | |||||||
\(744\) | 1.69160 | + | 1.22902i | 0.0620169 | + | 0.0450579i | ||||
\(745\) | −4.11170 | + | 2.98733i | −0.150641 | + | 0.109447i | ||||
\(746\) | −2.04943 | + | 6.30748i | −0.0750348 | + | 0.230933i | ||||
\(747\) | 1.41921 | 0.0519263 | ||||||||
\(748\) | 12.4929 | − | 4.72917i | 0.456787 | − | 0.172916i | ||||
\(749\) | −43.0612 | −1.57342 | ||||||||
\(750\) | −1.35107 | + | 4.15818i | −0.0493342 | + | 0.151835i | ||||
\(751\) | 6.84228 | − | 4.97121i | 0.249678 | − | 0.181402i | −0.455906 | − | 0.890028i | \(-0.650685\pi\) |
0.705584 | + | 0.708626i | \(0.250685\pi\) | |||||||
\(752\) | −4.86418 | − | 3.53403i | −0.177378 | − | 0.128873i | ||||
\(753\) | 8.11719 | + | 24.9821i | 0.295807 | + | 0.910400i | ||||
\(754\) | −0.718688 | − | 2.21189i | −0.0261731 | − | 0.0805524i | ||||
\(755\) | 2.34153 | + | 1.70122i | 0.0852169 | + | 0.0619137i | ||||
\(756\) | 3.96604 | − | 2.88150i | 0.144243 | − | 0.104799i | ||||
\(757\) | 9.41677 | − | 28.9818i | 0.342258 | − | 1.05336i | −0.620777 | − | 0.783987i | \(-0.713183\pi\) |
0.963035 | − | 0.269375i | \(-0.0868172\pi\) | |||||||
\(758\) | 10.8840 | 0.395324 | ||||||||
\(759\) | −5.80493 | − | 1.58434i | −0.210705 | − | 0.0575080i | ||||
\(760\) | 4.13984 | 0.150168 | ||||||||
\(761\) | −4.00923 | + | 12.3391i | −0.145334 | + | 0.447293i | −0.997054 | − | 0.0767048i | \(-0.975560\pi\) |
0.851719 | + | 0.523998i | \(0.175560\pi\) | |||||||
\(762\) | 6.64044 | − | 4.82456i | 0.240558 | − | 0.174776i | ||||
\(763\) | −19.3079 | − | 14.0280i | −0.698995 | − | 0.507849i | ||||
\(764\) | 9.38474 | + | 28.8833i | 0.339528 | + | 1.04496i | ||||
\(765\) | −0.630663 | − | 1.94098i | −0.0228017 | − | 0.0701764i | ||||
\(766\) | 16.7054 | + | 12.1372i | 0.603591 | + | 0.438535i | ||||
\(767\) | 4.27373 | − | 3.10505i | 0.154315 | − | 0.112117i | ||||
\(768\) | 0.929471 | − | 2.86062i | 0.0335394 | − | 0.103224i | ||||
\(769\) | −46.6018 | −1.68050 | −0.840252 | − | 0.542196i | \(-0.817593\pi\) | ||||
−0.840252 | + | 0.542196i | \(0.817593\pi\) | |||||||
\(770\) | 0.215533 | + | 4.51341i | 0.00776728 | + | 0.162652i | ||||
\(771\) | −8.52291 | −0.306945 | ||||||||
\(772\) | 8.42519 | − | 25.9301i | 0.303229 | − | 0.933244i | ||||
\(773\) | 16.4000 | − | 11.9153i | 0.589866 | − | 0.428563i | −0.252401 | − | 0.967623i | \(-0.581220\pi\) |
0.842268 | + | 0.539060i | \(0.181220\pi\) | |||||||
\(774\) | −0.741397 | − | 0.538656i | −0.0266490 | − | 0.0193616i | ||||
\(775\) | 1.35628 | + | 4.17419i | 0.0487189 | + | 0.149941i | ||||
\(776\) | 2.13228 | + | 6.56247i | 0.0765443 | + | 0.235579i | ||||
\(777\) | −25.3521 | − | 18.4194i | −0.909502 | − | 0.660792i | ||||
\(778\) | 14.5592 | − | 10.5779i | 0.521974 | − | 0.379236i | ||||
\(779\) | 1.46280 | − | 4.50203i | 0.0524102 | − | 0.161302i | ||||
\(780\) | 1.46305 | 0.0523855 | ||||||||
\(781\) | −7.70665 | + | 11.7474i | −0.275765 | + | 0.420357i | ||||
\(782\) | 2.35853 | 0.0843407 | ||||||||
\(783\) | −1.31040 | + | 4.03300i | −0.0468299 | + | 0.144128i | ||||
\(784\) | −2.44744 | + | 1.77817i | −0.0874085 | + | 0.0635060i | ||||
\(785\) | −9.07399 | − | 6.59264i | −0.323865 | − | 0.235301i | ||||
\(786\) | −0.806522 | − | 2.48222i | −0.0287677 | − | 0.0885379i | ||||
\(787\) | 14.0965 | + | 43.3847i | 0.502487 | + | 1.54650i | 0.804954 | + | 0.593337i | \(0.202190\pi\) |
−0.302466 | + | 0.953160i | \(0.597810\pi\) | |||||||
\(788\) | −27.7108 | − | 20.1331i | −0.987157 | − | 0.717211i | ||||
\(789\) | 20.5834 | − | 14.9548i | 0.732790 | − | 0.532403i | ||||
\(790\) | 0.804263 | − | 2.47527i | 0.0286144 | − | 0.0880661i | ||||
\(791\) | −9.47971 | −0.337060 | ||||||||
\(792\) | −3.69095 | + | 5.62622i | −0.131152 | + | 0.199919i | ||||
\(793\) | −1.70348 | −0.0604925 | ||||||||
\(794\) | −1.18229 | + | 3.63870i | −0.0419577 | + | 0.129133i | ||||
\(795\) | 5.29591 | − | 3.84770i | 0.187826 | − | 0.136464i | ||||
\(796\) | 20.4947 | + | 14.8903i | 0.726415 | + | 0.527772i | ||||
\(797\) | −5.38118 | − | 16.5616i | −0.190611 | − | 0.586641i | 0.809389 | − | 0.587273i | \(-0.199799\pi\) |
−1.00000 | 0.000632438i | \(0.999799\pi\) | ||||||||
\(798\) | 1.15877 | + | 3.56634i | 0.0410201 | + | 0.126247i | ||||
\(799\) | −5.04421 | − | 3.66483i | −0.178451 | − | 0.129652i | ||||
\(800\) | 18.2989 | − | 13.2949i | 0.646964 | − | 0.470047i | ||||
\(801\) | 1.85896 | − | 5.72129i | 0.0656831 | − | 0.202152i | ||||
\(802\) | −10.4381 | −0.368583 | ||||||||
\(803\) | −1.63611 | − | 34.2613i | −0.0577372 | − | 1.20905i | ||||
\(804\) | −12.4718 | −0.439847 | ||||||||
\(805\) | 1.39268 | − | 4.28622i | 0.0490855 | − | 0.151069i | ||||
\(806\) | −0.457286 | + | 0.332238i | −0.0161072 | + | 0.0117026i | ||||
\(807\) | 15.9219 | + | 11.5680i | 0.560478 | + | 0.407211i | ||||
\(808\) | 7.54067 | + | 23.2078i | 0.265280 | + | 0.816447i | ||||
\(809\) | −12.5402 | − | 38.5946i | −0.440889 | − | 1.35692i | −0.886930 | − | 0.461903i | \(-0.847167\pi\) |
0.446042 | − | 0.895012i | \(-0.352833\pi\) | |||||||
\(810\) | 0.382038 | + | 0.277567i | 0.0134234 | + | 0.00975271i | ||||
\(811\) | −10.4341 | + | 7.58083i | −0.366391 | + | 0.266199i | −0.755713 | − | 0.654903i | \(-0.772710\pi\) |
0.389322 | + | 0.921102i | \(0.372710\pi\) | |||||||
\(812\) | 6.42397 | − | 19.7709i | 0.225437 | − | 0.693824i | ||||
\(813\) | 10.6537 | 0.373641 | ||||||||
\(814\) | 19.0605 | + | 5.20219i | 0.668069 | + | 0.182337i | ||||
\(815\) | −11.2812 | −0.395165 | ||||||||
\(816\) | −1.67419 | + | 5.15262i | −0.0586083 | + | 0.180378i | ||||
\(817\) | −3.20362 | + | 2.32756i | −0.112080 | + | 0.0814311i | ||||
\(818\) | 8.53261 | + | 6.19930i | 0.298336 | + | 0.216753i | ||||
\(819\) | 0.891530 | + | 2.74385i | 0.0311526 | + | 0.0958778i | ||||
\(820\) | 0.903060 | + | 2.77933i | 0.0315362 | + | 0.0970586i | ||||
\(821\) | 12.9638 | + | 9.41874i | 0.452439 | + | 0.328716i | 0.790558 | − | 0.612387i | \(-0.209791\pi\) |
−0.338119 | + | 0.941103i | \(0.609791\pi\) | |||||||
\(822\) | −9.30474 | + | 6.76029i | −0.324540 | + | 0.235792i | ||||
\(823\) | 14.7850 | − | 45.5037i | 0.515374 | − | 1.58616i | −0.267226 | − | 0.963634i | \(-0.586107\pi\) |
0.782600 | − | 0.622524i | \(-0.213893\pi\) | |||||||
\(824\) | −18.7031 | −0.651553 | ||||||||
\(825\) | −13.2096 | + | 5.00044i | −0.459898 | + | 0.174093i | ||||
\(826\) | −8.35871 | −0.290837 | ||||||||
\(827\) | 13.7889 | − | 42.4379i | 0.479488 | − | 1.47571i | −0.360321 | − | 0.932828i | \(-0.617333\pi\) |
0.839809 | − | 0.542882i | \(-0.182667\pi\) | |||||||
\(828\) | 2.49405 | − | 1.81203i | 0.0866742 | − | 0.0629725i | ||||
\(829\) | 22.2096 | + | 16.1362i | 0.771370 | + | 0.560433i | 0.902377 | − | 0.430948i | \(-0.141821\pi\) |
−0.131007 | + | 0.991382i | \(0.541821\pi\) | |||||||
\(830\) | −0.207100 | − | 0.637387i | −0.00718853 | − | 0.0221240i | ||||
\(831\) | −3.32125 | − | 10.2217i | −0.115213 | − | 0.354588i | ||||
\(832\) | −1.34172 | − | 0.974817i | −0.0465158 | − | 0.0337957i | ||||
\(833\) | −2.53802 | + | 1.84398i | −0.0879371 | + | 0.0638901i | ||||
\(834\) | 2.06882 | − | 6.36719i | 0.0716375 | − | 0.220478i | ||||
\(835\) | −13.4061 | −0.463937 | ||||||||
\(836\) | 8.35676 | + | 10.4183i | 0.289025 | + | 0.360323i | ||||
\(837\) | 1.03061 | 0.0356231 | ||||||||
\(838\) | −1.34260 | + | 4.13209i | −0.0463792 | + | 0.142741i | ||||
\(839\) | −35.7959 | + | 26.0072i | −1.23581 | + | 0.897869i | −0.997312 | − | 0.0732743i | \(-0.976655\pi\) |
−0.238498 | + | 0.971143i | \(0.576655\pi\) | |||||||
\(840\) | −4.07726 | − | 2.96230i | −0.140679 | − | 0.102209i | ||||
\(841\) | −3.40468 | − | 10.4785i | −0.117403 | − | 0.361329i | ||||
\(842\) | 2.35974 | + | 7.26254i | 0.0813221 | + | 0.250284i | ||||
\(843\) | 3.13952 | + | 2.28099i | 0.108131 | + | 0.0785615i | ||||
\(844\) | −8.79681 | + | 6.39126i | −0.302799 | + | 0.219996i | ||||
\(845\) | −0.266070 | + | 0.818878i | −0.00915307 | + | 0.0281703i | ||||
\(846\) | 1.44268 | 0.0496003 | ||||||||
\(847\) | −23.7803 | + | 21.0154i | −0.817100 | + | 0.722097i | ||||
\(848\) | −17.3776 | −0.596748 | ||||||||
\(849\) | 7.00269 | − | 21.5521i | 0.240332 | − | 0.739664i | ||||
\(850\) | 4.47887 | − | 3.25409i | 0.153624 | − | 0.111614i | ||||
\(851\) | −15.9427 | − | 11.5831i | −0.546509 | − | 0.397062i | ||||
\(852\) | −2.22433 | − | 6.84579i | −0.0762043 | − | 0.234533i | ||||
\(853\) | 4.46809 | + | 13.7514i | 0.152985 | + | 0.470838i | 0.997951 | − | 0.0639810i | \(-0.0203797\pi\) |
−0.844966 | + | 0.534819i | \(0.820380\pi\) | |||||||
\(854\) | 2.18065 | + | 1.58433i | 0.0746202 | + | 0.0542148i | ||||
\(855\) | 1.65081 | − | 1.19938i | 0.0564564 | − | 0.0410180i | ||||
\(856\) | −9.35748 | + | 28.7994i | −0.319832 | + | 0.984342i | ||||
\(857\) | −57.2894 | −1.95697 | −0.978483 | − | 0.206325i | \(-0.933850\pi\) | ||||
−0.978483 | + | 0.206325i | \(0.933850\pi\) | |||||||
\(858\) | −1.13816 | − | 1.41893i | −0.0388561 | − | 0.0484414i | ||||
\(859\) | −6.09124 | −0.207830 | −0.103915 | − | 0.994586i | \(-0.533137\pi\) | ||||
−0.103915 | + | 0.994586i | \(0.533137\pi\) | |||||||
\(860\) | 0.755435 | − | 2.32499i | 0.0257601 | − | 0.0792815i | ||||
\(861\) | −4.66217 | + | 3.38726i | −0.158886 | + | 0.115438i | ||||
\(862\) | 5.92383 | + | 4.30392i | 0.201767 | + | 0.146592i | ||||
\(863\) | 1.91899 | + | 5.90605i | 0.0653232 | + | 0.201044i | 0.978391 | − | 0.206764i | \(-0.0662932\pi\) |
−0.913068 | + | 0.407808i | \(0.866293\pi\) | |||||||
\(864\) | −1.64126 | − | 5.05129i | −0.0558369 | − | 0.171848i | ||||
\(865\) | 1.06318 | + | 0.772443i | 0.0361491 | + | 0.0262638i | ||||
\(866\) | −11.7487 | + | 8.53595i | −0.399238 | + | 0.290063i | ||||
\(867\) | 3.51714 | − | 10.8246i | 0.119448 | − | 0.367624i | ||||
\(868\) | −5.05235 | −0.171488 | ||||||||
\(869\) | 17.0956 | − | 6.47148i | 0.579928 | − | 0.219530i | ||||
\(870\) | 2.00249 | 0.0678908 | ||||||||
\(871\) | 2.26812 | − | 6.98056i | 0.0768523 | − | 0.236527i | ||||
\(872\) | −13.5777 | + | 9.86479i | −0.459800 | + | 0.334064i | ||||
\(873\) | 2.75153 | + | 1.99910i | 0.0931252 | + | 0.0676594i | ||||
\(874\) | 0.728696 | + | 2.24270i | 0.0246485 | + | 0.0758603i | ||||
\(875\) | −7.10717 | − | 21.8736i | −0.240266 | − | 0.739463i | ||||
\(876\) | 14.2169 | + | 10.3292i | 0.480344 | + | 0.348991i | ||||
\(877\) | −31.7252 | + | 23.0497i | −1.07128 | + | 0.778333i | −0.976142 | − | 0.217131i | \(-0.930330\pi\) |
−0.0951408 | + | 0.995464i | \(0.530330\pi\) | |||||||
\(878\) | 5.61536 | − | 17.2823i | 0.189509 | − | 0.583249i | ||||
\(879\) | −25.9748 | −0.876109 | ||||||||
\(880\) | −6.29690 | − | 1.71862i | −0.212269 | − | 0.0579346i | ||||
\(881\) | −28.7305 | −0.967956 | −0.483978 | − | 0.875080i | \(-0.660808\pi\) | ||||
−0.483978 | + | 0.875080i | \(0.660808\pi\) | |||||||
\(882\) | 0.224312 | − | 0.690363i | 0.00755299 | − | 0.0232457i | ||||
\(883\) | −3.70137 | + | 2.68920i | −0.124561 | + | 0.0904988i | −0.648321 | − | 0.761367i | \(-0.724529\pi\) |
0.523760 | + | 0.851866i | \(0.324529\pi\) | |||||||
\(884\) | −3.25841 | − | 2.36737i | −0.109592 | − | 0.0796234i | ||||
\(885\) | 1.40554 | + | 4.32582i | 0.0472468 | + | 0.145411i | ||||
\(886\) | 0.464047 | + | 1.42819i | 0.0155900 | + | 0.0479810i | ||||
\(887\) | −35.1359 | − | 25.5277i | −1.17975 | − | 0.857137i | −0.187605 | − | 0.982245i | \(-0.560072\pi\) |
−0.992143 | + | 0.125108i | \(0.960072\pi\) | |||||||
\(888\) | −17.8281 | + | 12.9529i | −0.598271 | + | 0.434670i | ||||
\(889\) | −13.3426 | + | 41.0642i | −0.447495 | + | 1.37725i | ||||
\(890\) | −2.84077 | −0.0952229 | ||||||||
\(891\) | 0.158202 | + | 3.31285i | 0.00529996 | + | 0.110985i | ||||
\(892\) | 44.1735 | 1.47904 | ||||||||
\(893\) | 1.92638 | − | 5.92878i | 0.0644637 | − | 0.198399i | ||||
\(894\) | −2.61906 | + | 1.90286i | −0.0875944 | + | 0.0636411i | ||||
\(895\) | −11.7556 | − | 8.54093i | −0.392946 | − | 0.285492i | ||||
\(896\) | 10.2812 | + | 31.6422i | 0.343470 | + | 1.05709i | ||||
\(897\) | 0.560640 | + | 1.72547i | 0.0187192 | + | 0.0576119i | ||||
\(898\) | −11.9206 | − | 8.66079i | −0.397794 | − | 0.289014i | ||||
\(899\) | 3.53569 | − | 2.56883i | 0.117922 | − | 0.0856751i | ||||
\(900\) | 2.23614 | − | 6.88214i | 0.0745381 | − | 0.229405i | ||||
\(901\) | −18.0207 | −0.600358 | ||||||||
\(902\) | 1.99300 | − | 3.03798i | 0.0663595 | − | 0.101154i | ||||
\(903\) | 4.82071 | 0.160423 | ||||||||
\(904\) | −2.06000 | + | 6.34004i | −0.0685147 | + | 0.210867i | ||||
\(905\) | −16.7432 | + | 12.1646i | −0.556562 | + | 0.404366i | ||||
\(906\) | 1.49150 | + | 1.08364i | 0.0495517 | + | 0.0360014i | ||||
\(907\) | 8.94713 | + | 27.5364i | 0.297085 | + | 0.914332i | 0.982513 | + | 0.186193i | \(0.0596149\pi\) |
−0.685429 | + | 0.728140i | \(0.740385\pi\) | |||||||
\(908\) | 14.0442 | + | 43.2238i | 0.466075 | + | 1.43443i | ||||
\(909\) | 9.73062 | + | 7.06971i | 0.322744 | + | 0.234488i | ||||
\(910\) | 1.10220 | − | 0.800795i | 0.0365376 | − | 0.0265461i | ||||
\(911\) | −17.4709 | + | 53.7699i | −0.578837 | + | 1.78148i | 0.0438890 | + | 0.999036i | \(0.486025\pi\) |
−0.622726 | + | 0.782440i | \(0.713975\pi\) | |||||||
\(912\) | −5.41683 | −0.179369 | ||||||||
\(913\) | 2.58191 | − | 3.93568i | 0.0854489 | − | 0.130252i | ||||
\(914\) | 2.65199 | 0.0877201 | ||||||||
\(915\) | 0.453245 | − | 1.39494i | 0.0149838 | − | 0.0461154i | ||||
\(916\) | −3.36312 | + | 2.44345i | −0.111121 | + | 0.0807338i | ||||
\(917\) | 11.1073 | + | 8.06994i | 0.366796 | + | 0.266493i | ||||
\(918\) | −0.401718 | − | 1.23636i | −0.0132587 | − | 0.0408060i | ||||
\(919\) | 7.67772 | + | 23.6296i | 0.253265 | + | 0.779468i | 0.994167 | + | 0.107855i | \(0.0343982\pi\) |
−0.740902 | + | 0.671613i | \(0.765602\pi\) | |||||||
\(920\) | −2.56399 | − | 1.86285i | −0.0845323 | − | 0.0614163i | ||||
\(921\) | 19.2496 | − | 13.9856i | 0.634295 | − | 0.460842i | ||||
\(922\) | −0.422715 | + | 1.30098i | −0.0139214 | + | 0.0428456i | ||||
\(923\) | 4.23615 | 0.139435 | ||||||||
\(924\) | −0.775552 | − | 16.2406i | −0.0255138 | − | 0.534275i | ||||
\(925\) | −46.2566 | −1.52091 | ||||||||
\(926\) | 6.50139 | − | 20.0092i | 0.213649 | − | 0.657544i | ||||
\(927\) | −7.45807 | + | 5.41861i | −0.244955 | + | 0.177970i | ||||
\(928\) | −18.2211 | − | 13.2384i | −0.598138 | − | 0.434572i | ||||
\(929\) | −7.01059 | − | 21.5764i | −0.230010 | − | 0.707898i | −0.997744 | − | 0.0671299i | \(-0.978616\pi\) |
0.767734 | − | 0.640769i | \(-0.221384\pi\) | |||||||
\(930\) | −0.150392 | − | 0.462860i | −0.00493156 | − | 0.0151778i | ||||
\(931\) | −2.53757 | − | 1.84365i | −0.0831655 | − | 0.0604233i | ||||
\(932\) | 25.4192 | − | 18.4682i | 0.832635 | − | 0.604945i | ||||
\(933\) | 0.0994089 | − | 0.305949i | 0.00325450 | − | 0.0100163i | ||||
\(934\) | 0.905562 | 0.0296309 | ||||||||
\(935\) | −6.52996 | − | 1.78223i | −0.213552 | − | 0.0582850i | ||||
\(936\) | 2.02882 | 0.0663142 | ||||||||
\(937\) | 8.96952 | − | 27.6054i | 0.293022 | − | 0.901828i | −0.690857 | − | 0.722991i | \(-0.742767\pi\) |
0.983879 | − | 0.178836i | \(-0.0572333\pi\) | |||||||
\(938\) | −9.39575 | + | 6.82641i | −0.306782 | + | 0.222890i | ||||
\(939\) | −24.7480 | − | 17.9805i | −0.807621 | − | 0.586771i | ||||
\(940\) | 1.18925 | + | 3.66014i | 0.0387891 | + | 0.119381i | ||||
\(941\) | 17.6921 | + | 54.4508i | 0.576747 | + | 1.77504i | 0.630152 | + | 0.776472i | \(0.282993\pi\) |
−0.0534048 | + | 0.998573i | \(0.517007\pi\) | |||||||
\(942\) | −5.77992 | − | 4.19936i | −0.188320 | − | 0.136823i | ||||
\(943\) | −2.93181 | + | 2.13008i | −0.0954728 | + | 0.0693651i | ||||
\(944\) | 3.73122 | − | 11.4835i | 0.121441 | − | 0.373757i | ||||
\(945\) | −2.48409 | −0.0808073 | ||||||||
\(946\) | −2.84256 | + | 1.07604i | −0.0924196 | + | 0.0349852i | ||||
\(947\) | 18.8001 | 0.610922 | 0.305461 | − | 0.952205i | \(-0.401190\pi\) | ||||
0.305461 | + | 0.952205i | \(0.401190\pi\) | |||||||
\(948\) | −2.89398 | + | 8.90674i | −0.0939919 | + | 0.289277i | ||||
\(949\) | −8.36680 | + | 6.07883i | −0.271598 | + | 0.197327i | ||||
\(950\) | 4.47808 | + | 3.25351i | 0.145288 | + | 0.105558i | ||||
\(951\) | 7.91864 | + | 24.3711i | 0.256780 | + | 0.790287i | ||||
\(952\) | 4.28729 | + | 13.1949i | 0.138952 | + | 0.427650i | ||||
\(953\) | −36.3494 | − | 26.4094i | −1.17747 | − | 0.855484i | −0.185589 | − | 0.982628i | \(-0.559419\pi\) |
−0.991884 | + | 0.127143i | \(0.959419\pi\) | |||||||
\(954\) | 3.37337 | − | 2.45090i | 0.109217 | − | 0.0793507i | ||||
\(955\) | 4.75543 | − | 14.6357i | 0.153882 | − | 0.473600i | ||||
\(956\) | −35.5321 | −1.14919 | ||||||||
\(957\) | 8.80011 | + | 10.9710i | 0.284467 | + | 0.354641i | ||||
\(958\) | −9.42337 | −0.304455 | ||||||||
\(959\) | 18.6959 | − | 57.5401i | 0.603723 | − | 1.85807i | ||||
\(960\) | 1.15525 | − | 0.839336i | 0.0372854 | − | 0.0270894i | ||||
\(961\) | 24.2202 | + | 17.5970i | 0.781298 | + | 0.567646i | ||||
\(962\) | −1.84086 | − | 5.66559i | −0.0593518 | − | 0.182666i | ||||
\(963\) | 4.61227 | + | 14.1951i | 0.148628 | + | 0.457431i | ||||
\(964\) | 32.1278 | + | 23.3422i | 1.03477 | + | 0.751803i | ||||
\(965\) | −11.1769 | + | 8.12051i | −0.359798 | + | 0.261409i | ||||
\(966\) | 0.887103 | − | 2.73022i | 0.0285421 | − | 0.0878435i | ||||
\(967\) | 2.82220 | 0.0907560 | 0.0453780 | − | 0.998970i | \(-0.485551\pi\) | ||||
0.0453780 | + | 0.998970i | \(0.485551\pi\) | |||||||
\(968\) | 8.88750 | + | 20.4711i | 0.285655 | + | 0.657965i | ||||
\(969\) | −5.61731 | −0.180454 | ||||||||
\(970\) | 0.496304 | − | 1.52747i | 0.0159354 | − | 0.0490440i | ||||
\(971\) | −39.0446 | + | 28.3676i | −1.25300 | + | 0.910359i | −0.998392 | − | 0.0566855i | \(-0.981947\pi\) |
−0.254609 | + | 0.967044i | \(0.581947\pi\) | |||||||
\(972\) | −1.37468 | − | 0.998767i | −0.0440930 | − | 0.0320355i | ||||
\(973\) | 10.8828 | + | 33.4939i | 0.348887 | + | 1.07376i | ||||
\(974\) | 3.83417 | + | 11.8004i | 0.122855 | + | 0.378108i | ||||
\(975\) | 3.44532 | + | 2.50317i | 0.110338 | + | 0.0801656i | ||||
\(976\) | −3.15003 | + | 2.28863i | −0.100830 | + | 0.0732573i | ||||
\(977\) | −11.0552 | + | 34.0243i | −0.353687 | + | 1.08854i | 0.603081 | + | 0.797680i | \(0.293940\pi\) |
−0.956767 | + | 0.290855i | \(0.906060\pi\) | |||||||
\(978\) | −7.18589 | −0.229779 | ||||||||
\(979\) | −12.4840 | − | 15.5636i | −0.398991 | − | 0.497416i | ||||
\(980\) | 1.93639 | 0.0618557 | ||||||||
\(981\) | −2.55627 | + | 7.86740i | −0.0816155 | + | 0.251187i | ||||
\(982\) | −7.69687 | + | 5.59210i | −0.245617 | + | 0.178451i | ||||
\(983\) | 29.5985 | + | 21.5046i | 0.944047 | + | 0.685890i | 0.949391 | − | 0.314095i | \(-0.101701\pi\) |
−0.00534449 | + | 0.999986i | \(0.501701\pi\) | |||||||
\(984\) | 1.25228 | + | 3.85414i | 0.0399214 | + | 0.122865i | ||||
\(985\) | 5.36341 | + | 16.5069i | 0.170893 | + | 0.525953i | ||||
\(986\) | −4.45983 | − | 3.24025i | −0.142030 | − | 0.103191i | ||||
\(987\) | −6.13966 | + | 4.46072i | −0.195428 | + | 0.141986i | ||||
\(988\) | 1.24438 | − | 3.82982i | 0.0395891 | − | 0.121843i | ||||
\(989\) | 3.03151 | 0.0963963 | ||||||||
\(990\) | 1.46476 | − | 0.554480i | 0.0465530 | − | 0.0176225i | ||||
\(991\) | 34.4494 | 1.09432 | 0.547161 | − | 0.837027i | \(-0.315709\pi\) | ||||
0.547161 | + | 0.837027i | \(0.315709\pi\) | |||||||
\(992\) | −1.69150 | + | 5.20591i | −0.0537053 | + | 0.165288i | ||||
\(993\) | 5.60001 | − | 4.06865i | 0.177711 | − | 0.129115i | ||||
\(994\) | −5.42275 | − | 3.93986i | −0.171999 | − | 0.124965i | ||||
\(995\) | −3.96674 | − | 12.2084i | −0.125754 | − | 0.387031i | ||||
\(996\) | 0.745205 | + | 2.29351i | 0.0236127 | + | 0.0726725i | ||||
\(997\) | −32.8352 | − | 23.8562i | −1.03990 | − | 0.755532i | −0.0696345 | − | 0.997573i | \(-0.522183\pi\) |
−0.970266 | + | 0.242041i | \(0.922183\pi\) | |||||||
\(998\) | −10.0107 | + | 7.27321i | −0.316884 | + | 0.230230i | ||||
\(999\) | −3.35649 | + | 10.3302i | −0.106195 | + | 0.326833i |
(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 | 429.2.n.b.196.3 | ✓ | 20 | |
11.4 | even | 5 | 4719.2.a.bn.1.6 | 10 | |||
11.5 | even | 5 | inner | 429.2.n.b.313.3 | yes | 20 | |
11.7 | odd | 10 | 4719.2.a.bi.1.5 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.n.b.196.3 | ✓ | 20 | 1.1 | even | 1 | trivial | |
429.2.n.b.313.3 | yes | 20 | 11.5 | even | 5 | inner | |
4719.2.a.bi.1.5 | 10 | 11.7 | odd | 10 | |||
4719.2.a.bn.1.6 | 10 | 11.4 | even | 5 |