Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [312,2,Mod(19,312)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(312, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 6, 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("312.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 312 = 2^{3} \cdot 3 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 312.bt (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.49133254306\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 19.3 | ||
Character | \(\chi\) | \(=\) | 312.19 |
Dual form | 312.2.bt.d.115.3 |
$q$-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 \(\left(\mathbb{Z}/312\mathbb{Z}\right)^\times\).
\(n\) | \(79\) | \(145\) | \(157\) | \(209\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{12}\right)\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.25675 | − | 0.648526i | −0.888654 | − | 0.458577i | ||||
\(3\) | 0.500000 | − | 0.866025i | 0.288675 | − | 0.500000i | ||||
\(4\) | 1.15883 | + | 1.63007i | 0.579413 | + | 0.815034i | ||||
\(5\) | 0.513065 | + | 0.513065i | 0.229449 | + | 0.229449i | 0.812463 | − | 0.583013i | \(-0.198126\pi\) |
−0.583013 | + | 0.812463i | \(0.698126\pi\) | |||||||
\(6\) | −1.19001 | + | 0.764112i | −0.485821 | + | 0.311947i | ||||
\(7\) | 1.43100 | + | 0.383434i | 0.540866 | + | 0.144925i | 0.518901 | − | 0.854834i | \(-0.326341\pi\) |
0.0219645 | + | 0.999759i | \(0.493008\pi\) | |||||||
\(8\) | −0.399211 | − | 2.80011i | −0.141142 | − | 0.989989i | ||||
\(9\) | −0.500000 | − | 0.866025i | −0.166667 | − | 0.288675i | ||||
\(10\) | −0.312057 | − | 0.977529i | −0.0986809 | − | 0.309122i | ||||
\(11\) | 1.43129 | − | 0.383513i | 0.431550 | − | 0.115634i | −0.0365035 | − | 0.999334i | \(-0.511622\pi\) |
0.468054 | + | 0.883700i | \(0.344955\pi\) | |||||||
\(12\) | 1.99109 | − | 0.188540i | 0.574779 | − | 0.0544268i | ||||
\(13\) | 0.967164 | + | 3.47341i | 0.268243 | + | 0.963351i | ||||
\(14\) | −1.54973 | − | 1.40992i | −0.414184 | − | 0.376817i | ||||
\(15\) | 0.700859 | − | 0.187795i | 0.180961 | − | 0.0484884i | ||||
\(16\) | −1.31424 | + | 3.77793i | −0.328560 | + | 0.944483i | ||||
\(17\) | 1.08804 | − | 0.628178i | 0.263888 | − | 0.152356i | −0.362219 | − | 0.932093i | \(-0.617981\pi\) |
0.626107 | + | 0.779737i | \(0.284647\pi\) | |||||||
\(18\) | 0.0667332 | + | 1.41264i | 0.0157292 | + | 0.332962i | ||||
\(19\) | 6.19113 | + | 1.65891i | 1.42034 | + | 0.380580i | 0.885605 | − | 0.464439i | \(-0.153744\pi\) |
0.534737 | + | 0.845018i | \(0.320411\pi\) | |||||||
\(20\) | −0.241777 | + | 1.43088i | −0.0540630 | + | 0.319955i | ||||
\(21\) | 1.04756 | − | 1.04756i | 0.228597 | − | 0.228597i | ||||
\(22\) | −2.04749 | − | 0.446251i | −0.436526 | − | 0.0951410i | ||||
\(23\) | 1.68941 | − | 2.92615i | 0.352267 | − | 0.610144i | −0.634379 | − | 0.773022i | \(-0.718744\pi\) |
0.986646 | + | 0.162878i | \(0.0520776\pi\) | |||||||
\(24\) | −2.62457 | − | 1.05433i | −0.535739 | − | 0.215214i | ||||
\(25\) | − | 4.47353i | − | 0.894706i | ||||||
\(26\) | 1.03712 | − | 4.99243i | 0.203396 | − | 0.979097i | ||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | 1.03325 | + | 2.77695i | 0.195266 | + | 0.524795i | ||||
\(29\) | −5.98829 | − | 3.45734i | −1.11200 | − | 0.642012i | −0.172651 | − | 0.984983i | \(-0.555233\pi\) |
−0.939346 | + | 0.342971i | \(0.888567\pi\) | |||||||
\(30\) | −1.00259 | − | 0.218515i | −0.183048 | − | 0.0398953i | ||||
\(31\) | −1.65000 | − | 1.65000i | −0.296349 | − | 0.296349i | 0.543233 | − | 0.839582i | \(-0.317200\pi\) |
−0.839582 | + | 0.543233i | \(0.817200\pi\) | |||||||
\(32\) | 4.10176 | − | 3.89559i | 0.725095 | − | 0.688649i | ||||
\(33\) | 0.383513 | − | 1.43129i | 0.0667611 | − | 0.249156i | ||||
\(34\) | −1.77478 | + | 0.0838407i | −0.304372 | + | 0.0143786i | ||||
\(35\) | 0.537467 | + | 0.930920i | 0.0908485 | + | 0.157354i | ||||
\(36\) | 0.832266 | − | 1.81861i | 0.138711 | − | 0.303101i | ||||
\(37\) | 0.944898 | + | 3.52641i | 0.155340 | + | 0.579738i | 0.999076 | + | 0.0429788i | \(0.0136848\pi\) |
−0.843736 | + | 0.536759i | \(0.819649\pi\) | |||||||
\(38\) | −6.70484 | − | 6.09994i | −1.08767 | − | 0.989541i | ||||
\(39\) | 3.49165 | + | 0.899118i | 0.559111 | + | 0.143974i | ||||
\(40\) | 1.23182 | − | 1.64146i | 0.194768 | − | 0.259538i | ||||
\(41\) | 0.503062 | + | 1.87745i | 0.0785651 | + | 0.293209i | 0.994018 | − | 0.109216i | \(-0.0348341\pi\) |
−0.915453 | + | 0.402425i | \(0.868167\pi\) | |||||||
\(42\) | −1.99589 | + | 0.637149i | −0.307973 | + | 0.0983142i | ||||
\(43\) | 7.93214 | − | 4.57963i | 1.20964 | − | 0.698386i | 0.246960 | − | 0.969026i | \(-0.420568\pi\) |
0.962681 | + | 0.270639i | \(0.0872351\pi\) | |||||||
\(44\) | 2.28377 | + | 1.88867i | 0.344291 | + | 0.284728i | ||||
\(45\) | 0.187795 | − | 0.700859i | 0.0279948 | − | 0.104478i | ||||
\(46\) | −4.02085 | + | 2.58180i | −0.592842 | + | 0.380666i | ||||
\(47\) | 2.96711 | − | 2.96711i | 0.432797 | − | 0.432797i | −0.456781 | − | 0.889579i | \(-0.650998\pi\) |
0.889579 | + | 0.456781i | \(0.150998\pi\) | |||||||
\(48\) | 2.61467 | + | 3.02713i | 0.377394 | + | 0.436929i | ||||
\(49\) | −4.16145 | − | 2.40261i | −0.594493 | − | 0.343231i | ||||
\(50\) | −2.90120 | + | 5.62210i | −0.410292 | + | 0.795084i | ||||
\(51\) | − | 1.25636i | − | 0.175925i | ||||||
\(52\) | −4.54112 | + | 5.60163i | −0.629740 | + | 0.776806i | ||||
\(53\) | 0.513310i | 0.0705086i | 0.999378 | + | 0.0352543i | \(0.0112241\pi\) | ||||
−0.999378 | + | 0.0352543i | \(0.988776\pi\) | |||||||
\(54\) | 1.25675 | + | 0.648526i | 0.171022 | + | 0.0882533i | ||||
\(55\) | 0.931112 | + | 0.537578i | 0.125551 | + | 0.0724869i | ||||
\(56\) | 0.502390 | − | 4.16002i | 0.0671347 | − | 0.555906i | ||||
\(57\) | 4.53222 | − | 4.53222i | 0.600307 | − | 0.600307i | ||||
\(58\) | 5.28359 | + | 8.22856i | 0.693769 | + | 1.08046i | ||||
\(59\) | −3.60773 | + | 13.4642i | −0.469687 | + | 1.75290i | 0.171176 | + | 0.985241i | \(0.445243\pi\) |
−0.640863 | + | 0.767655i | \(0.721423\pi\) | |||||||
\(60\) | 1.11829 | + | 0.924827i | 0.144371 | + | 0.119395i | ||||
\(61\) | −12.2267 | + | 7.05906i | −1.56546 | + | 0.903820i | −0.568775 | + | 0.822493i | \(0.692583\pi\) |
−0.996687 | + | 0.0813276i | \(0.974084\pi\) | |||||||
\(62\) | 1.00357 | + | 3.14371i | 0.127453 | + | 0.399251i | ||||
\(63\) | −0.383434 | − | 1.43100i | −0.0483082 | − | 0.180289i | ||||
\(64\) | −7.68126 | + | 2.23567i | −0.960158 | + | 0.279459i | ||||
\(65\) | −1.28587 | + | 2.27830i | −0.159492 | + | 0.282589i | ||||
\(66\) | −1.41021 | + | 1.55005i | −0.173585 | + | 0.190798i | ||||
\(67\) | 1.88176 | + | 7.02284i | 0.229894 | + | 0.857977i | 0.980384 | + | 0.197095i | \(0.0631507\pi\) |
−0.750490 | + | 0.660881i | \(0.770183\pi\) | |||||||
\(68\) | 2.28482 | + | 1.04562i | 0.277075 | + | 0.126800i | ||||
\(69\) | −1.68941 | − | 2.92615i | −0.203381 | − | 0.352267i | ||||
\(70\) | −0.0717338 | − | 1.51849i | −0.00857383 | − | 0.181495i | ||||
\(71\) | −0.979852 | + | 3.65686i | −0.116287 | + | 0.433989i | −0.999380 | − | 0.0352090i | \(-0.988790\pi\) |
0.883093 | + | 0.469198i | \(0.155457\pi\) | |||||||
\(72\) | −2.22536 | + | 1.74578i | −0.262262 | + | 0.205742i | ||||
\(73\) | −4.42114 | − | 4.42114i | −0.517455 | − | 0.517455i | 0.399345 | − | 0.916801i | \(-0.369237\pi\) |
−0.916801 | + | 0.399345i | \(0.869237\pi\) | |||||||
\(74\) | 1.09947 | − | 5.04459i | 0.127811 | − | 0.586422i | ||||
\(75\) | −3.87419 | − | 2.23676i | −0.447353 | − | 0.258279i | ||||
\(76\) | 4.47032 | + | 12.0143i | 0.512780 | + | 1.37814i | ||||
\(77\) | 2.19522 | 0.250169 | ||||||||
\(78\) | −3.80501 | − | 3.39439i | −0.430833 | − | 0.384339i | ||||
\(79\) | − | 3.24902i | − | 0.365543i | −0.983155 | − | 0.182771i | \(-0.941493\pi\) | ||
0.983155 | − | 0.182771i | \(-0.0585068\pi\) | |||||||
\(80\) | −2.61261 | + | 1.26403i | −0.292099 | + | 0.141323i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 0.585356 | − | 2.68573i | 0.0646418 | − | 0.296590i | ||||
\(83\) | −2.89926 | + | 2.89926i | −0.318235 | + | 0.318235i | −0.848089 | − | 0.529854i | \(-0.822247\pi\) |
0.529854 | + | 0.848089i | \(0.322247\pi\) | |||||||
\(84\) | 2.92154 | + | 0.493654i | 0.318766 | + | 0.0538620i | ||||
\(85\) | 0.880529 | + | 0.235937i | 0.0955068 | + | 0.0255910i | ||||
\(86\) | −12.9387 | + | 0.611226i | −1.39522 | + | 0.0659102i | ||||
\(87\) | −5.98829 | + | 3.45734i | −0.642012 | + | 0.370666i | ||||
\(88\) | −1.64527 | − | 3.85467i | −0.175386 | − | 0.410909i | ||||
\(89\) | −2.05252 | + | 0.549972i | −0.217567 | + | 0.0582969i | −0.365956 | − | 0.930632i | \(-0.619258\pi\) |
0.148389 | + | 0.988929i | \(0.452591\pi\) | |||||||
\(90\) | −0.690536 | + | 0.759013i | −0.0727889 | + | 0.0800070i | ||||
\(91\) | 0.0521823 | + | 5.34128i | 0.00547019 | + | 0.559919i | ||||
\(92\) | 6.72756 | − | 0.637043i | 0.701396 | − | 0.0664163i | ||||
\(93\) | −2.25395 | + | 0.603943i | −0.233723 | + | 0.0626260i | ||||
\(94\) | −5.65316 | + | 1.80466i | −0.583079 | + | 0.186136i | ||||
\(95\) | 2.32532 | + | 4.02758i | 0.238573 | + | 0.413221i | ||||
\(96\) | −1.32280 | − | 5.50002i | −0.135008 | − | 0.561343i | ||||
\(97\) | 1.09430 | + | 0.293217i | 0.111109 | + | 0.0297716i | 0.313945 | − | 0.949441i | \(-0.398349\pi\) |
−0.202836 | + | 0.979213i | \(0.565016\pi\) | |||||||
\(98\) | 3.67173 | + | 5.71829i | 0.370901 | + | 0.577634i | ||||
\(99\) | −1.04778 | − | 1.04778i | −0.105306 | − | 0.105306i | ||||
\(100\) | 7.29215 | − | 5.18405i | 0.729215 | − | 0.518405i | ||||
\(101\) | −5.72724 | + | 9.91986i | −0.569881 | + | 0.987063i | 0.426696 | + | 0.904395i | \(0.359677\pi\) |
−0.996577 | + | 0.0826680i | \(0.973656\pi\) | |||||||
\(102\) | −0.814780 | + | 1.57892i | −0.0806753 | + | 0.156337i | ||||
\(103\) | −2.48901 | −0.245249 | −0.122625 | − | 0.992453i | \(-0.539131\pi\) | ||||
−0.122625 | + | 0.992453i | \(0.539131\pi\) | |||||||
\(104\) | 9.33984 | − | 4.09479i | 0.915847 | − | 0.401527i | ||||
\(105\) | 1.07493 | 0.104903 | ||||||||
\(106\) | 0.332895 | − | 0.645101i | 0.0323337 | − | 0.0626578i | ||||
\(107\) | −5.13018 | + | 8.88572i | −0.495953 | + | 0.859015i | −0.999989 | − | 0.00466706i | \(-0.998514\pi\) |
0.504036 | + | 0.863682i | \(0.331848\pi\) | |||||||
\(108\) | −1.15883 | − | 1.63007i | −0.111508 | − | 0.156853i | ||||
\(109\) | −7.21056 | − | 7.21056i | −0.690646 | − | 0.690646i | 0.271728 | − | 0.962374i | \(-0.412405\pi\) |
−0.962374 | + | 0.271728i | \(0.912405\pi\) | |||||||
\(110\) | −0.821539 | − | 1.27945i | −0.0783306 | − | 0.121991i | ||||
\(111\) | 3.52641 | + | 0.944898i | 0.334712 | + | 0.0896857i | ||||
\(112\) | −3.32926 | + | 4.90228i | −0.314586 | + | 0.463222i | ||||
\(113\) | −2.37145 | − | 4.10748i | −0.223088 | − | 0.386399i | 0.732656 | − | 0.680599i | \(-0.238280\pi\) |
−0.955744 | + | 0.294200i | \(0.904947\pi\) | |||||||
\(114\) | −8.63512 | + | 2.75659i | −0.808753 | + | 0.258178i | ||||
\(115\) | 2.36808 | − | 0.634526i | 0.220825 | − | 0.0591698i | ||||
\(116\) | −1.30369 | − | 13.7678i | −0.121045 | − | 1.27831i | ||||
\(117\) | 2.52448 | − | 2.57429i | 0.233388 | − | 0.237994i | ||||
\(118\) | 13.2659 | − | 14.5814i | 1.22123 | − | 1.34233i | ||||
\(119\) | 1.79784 | − | 0.481730i | 0.164808 | − | 0.0441601i | ||||
\(120\) | −0.805637 | − | 1.88752i | −0.0735442 | − | 0.172306i | ||||
\(121\) | −7.62477 | + | 4.40216i | −0.693161 | + | 0.400197i | ||||
\(122\) | 19.9438 | − | 0.942148i | 1.80563 | − | 0.0852981i | ||||
\(123\) | 1.87745 | + | 0.503062i | 0.169284 | + | 0.0453596i | ||||
\(124\) | 0.777549 | − | 4.60169i | 0.0698259 | − | 0.413244i | ||||
\(125\) | 4.86053 | − | 4.86053i | 0.434739 | − | 0.434739i | ||||
\(126\) | −0.446159 | + | 2.04707i | −0.0397470 | + | 0.182367i | ||||
\(127\) | 9.40686 | − | 16.2932i | 0.834724 | − | 1.44578i | −0.0595311 | − | 0.998226i | \(-0.518961\pi\) |
0.894255 | − | 0.447558i | \(-0.147706\pi\) | |||||||
\(128\) | 11.1033 | + | 2.17183i | 0.981402 | + | 0.191964i | ||||
\(129\) | − | 9.15925i | − | 0.806427i | ||||||
\(130\) | 3.09355 | − | 2.02933i | 0.271322 | − | 0.177984i | ||||
\(131\) | −1.40105 | −0.122410 | −0.0612050 | − | 0.998125i | \(-0.519494\pi\) | ||||
−0.0612050 | + | 0.998125i | \(0.519494\pi\) | |||||||
\(132\) | 2.77753 | − | 1.03347i | 0.241753 | − | 0.0899516i | ||||
\(133\) | 8.22340 | + | 4.74778i | 0.713059 | + | 0.411685i | ||||
\(134\) | 2.18960 | − | 10.0463i | 0.189152 | − | 0.867869i | ||||
\(135\) | −0.513065 | − | 0.513065i | −0.0441576 | − | 0.0441576i | ||||
\(136\) | −2.19333 | − | 2.79585i | −0.188076 | − | 0.239742i | ||||
\(137\) | −4.33906 | + | 16.1936i | −0.370711 | + | 1.38351i | 0.488800 | + | 0.872396i | \(0.337435\pi\) |
−0.859511 | + | 0.511117i | \(0.829232\pi\) | |||||||
\(138\) | 0.225480 | + | 4.77306i | 0.0191941 | + | 0.406310i | ||||
\(139\) | −7.57593 | − | 13.1219i | −0.642582 | − | 1.11298i | −0.984854 | − | 0.173384i | \(-0.944530\pi\) |
0.342273 | − | 0.939601i | \(-0.388803\pi\) | |||||||
\(140\) | −0.894631 | + | 1.95488i | −0.0756101 | + | 0.165218i | ||||
\(141\) | −1.08604 | − | 4.05315i | −0.0914609 | − | 0.341337i | ||||
\(142\) | 3.60299 | − | 3.96028i | 0.302357 | − | 0.332340i | ||||
\(143\) | 2.71639 | + | 4.60054i | 0.227156 | + | 0.384717i | ||||
\(144\) | 3.92891 | − | 0.750801i | 0.327409 | − | 0.0625667i | ||||
\(145\) | −1.29854 | − | 4.84622i | −0.107838 | − | 0.402456i | ||||
\(146\) | 2.68903 | + | 8.42348i | 0.222546 | + | 0.697132i | ||||
\(147\) | −4.16145 | + | 2.40261i | −0.343231 | + | 0.198164i | ||||
\(148\) | −4.65331 | + | 5.62674i | −0.382499 | + | 0.462515i | ||||
\(149\) | 2.01396 | − | 7.51621i | 0.164990 | − | 0.615752i | −0.833051 | − | 0.553196i | \(-0.813408\pi\) |
0.998041 | − | 0.0625561i | \(-0.0199252\pi\) | |||||||
\(150\) | 3.41828 | + | 5.32356i | 0.279101 | + | 0.434667i | ||||
\(151\) | 6.96070 | − | 6.96070i | 0.566453 | − | 0.566453i | −0.364680 | − | 0.931133i | \(-0.618822\pi\) |
0.931133 | + | 0.364680i | \(0.118822\pi\) | |||||||
\(152\) | 2.17357 | − | 17.9981i | 0.176299 | − | 1.45984i | ||||
\(153\) | −1.08804 | − | 0.628178i | −0.0879625 | − | 0.0507852i | ||||
\(154\) | −2.75884 | − | 1.42366i | −0.222314 | − | 0.114722i | ||||
\(155\) | − | 1.69312i | − | 0.135994i | ||||||
\(156\) | 2.58059 | + | 6.73354i | 0.206613 | + | 0.539115i | ||||
\(157\) | 10.6185i | 0.847450i | 0.905791 | + | 0.423725i | \(0.139278\pi\) | ||||
−0.905791 | + | 0.423725i | \(0.860722\pi\) | |||||||
\(158\) | −2.10707 | + | 4.08319i | −0.167630 | + | 0.324841i | ||||
\(159\) | 0.444540 | + | 0.256655i | 0.0352543 | + | 0.0203541i | ||||
\(160\) | 4.10315 | + | 0.105779i | 0.324383 | + | 0.00836255i | ||||
\(161\) | 3.53953 | − | 3.53953i | 0.278954 | − | 0.278954i | ||||
\(162\) | 1.19001 | − | 0.764112i | 0.0934963 | − | 0.0600343i | ||||
\(163\) | 2.99986 | − | 11.1956i | 0.234967 | − | 0.876908i | −0.743197 | − | 0.669073i | \(-0.766692\pi\) |
0.978164 | − | 0.207835i | \(-0.0666418\pi\) | |||||||
\(164\) | −2.47741 | + | 2.99567i | −0.193453 | + | 0.233922i | ||||
\(165\) | 0.931112 | − | 0.537578i | 0.0724869 | − | 0.0418504i | ||||
\(166\) | 5.52388 | − | 1.76339i | 0.428736 | − | 0.136866i | ||||
\(167\) | 2.32855 | + | 8.69026i | 0.180189 | + | 0.672473i | 0.995609 | + | 0.0936043i | \(0.0298389\pi\) |
−0.815421 | + | 0.578868i | \(0.803494\pi\) | |||||||
\(168\) | −3.35149 | − | 2.51509i | −0.258573 | − | 0.194044i | ||||
\(169\) | −11.1292 | + | 6.71872i | −0.856091 | + | 0.516824i | ||||
\(170\) | −0.953591 | − | 0.867560i | −0.0731371 | − | 0.0665388i | ||||
\(171\) | −1.65891 | − | 6.19113i | −0.126860 | − | 0.473447i | ||||
\(172\) | 16.6571 | + | 7.62294i | 1.27009 | + | 0.581243i | ||||
\(173\) | −6.97351 | − | 12.0785i | −0.530186 | − | 0.918309i | −0.999380 | − | 0.0352137i | \(-0.988789\pi\) |
0.469194 | − | 0.883095i | \(-0.344545\pi\) | |||||||
\(174\) | 9.76794 | − | 0.461439i | 0.740505 | − | 0.0349816i | ||||
\(175\) | 1.71530 | − | 6.40160i | 0.129665 | − | 0.483916i | ||||
\(176\) | −0.432173 | + | 5.91135i | −0.0325763 | + | 0.445585i | ||||
\(177\) | 9.85651 | + | 9.85651i | 0.740861 | + | 0.740861i | ||||
\(178\) | 2.93617 | + | 0.639940i | 0.220076 | + | 0.0479655i | ||||
\(179\) | −8.03592 | − | 4.63954i | −0.600633 | − | 0.346776i | 0.168658 | − | 0.985675i | \(-0.446057\pi\) |
−0.769291 | + | 0.638899i | \(0.779390\pi\) | |||||||
\(180\) | 1.36007 | − | 0.506057i | 0.101374 | − | 0.0377192i | ||||
\(181\) | 20.7868 | 1.54507 | 0.772535 | − | 0.634973i | \(-0.218989\pi\) | ||||
0.772535 | + | 0.634973i | \(0.218989\pi\) | |||||||
\(182\) | 3.39838 | − | 6.74648i | 0.251905 | − | 0.500083i | ||||
\(183\) | 14.1181i | 1.04364i | ||||||||
\(184\) | −8.86798 | − | 3.56240i | −0.653756 | − | 0.262623i | ||||
\(185\) | −1.32448 | + | 2.29407i | −0.0973778 | + | 0.168663i | ||||
\(186\) | 3.22431 | + | 0.702740i | 0.236418 | + | 0.0515274i | ||||
\(187\) | 1.31638 | − | 1.31638i | 0.0962634 | − | 0.0962634i | ||||
\(188\) | 8.27496 | + | 1.39822i | 0.603513 | + | 0.101976i | ||||
\(189\) | −1.43100 | − | 0.383434i | −0.104090 | − | 0.0278907i | ||||
\(190\) | −0.310353 | − | 6.56968i | −0.0225153 | − | 0.476615i | ||||
\(191\) | −22.5621 | + | 13.0262i | −1.63254 | + | 0.942545i | −0.649228 | + | 0.760593i | \(0.724908\pi\) |
−0.983307 | + | 0.181952i | \(0.941759\pi\) | |||||||
\(192\) | −1.90448 | + | 7.77000i | −0.137444 | + | 0.560752i | ||||
\(193\) | −14.5165 | + | 3.88969i | −1.04492 | + | 0.279986i | −0.740152 | − | 0.672439i | \(-0.765247\pi\) |
−0.304771 | + | 0.952426i | \(0.598580\pi\) | |||||||
\(194\) | −1.18510 | − | 1.07818i | −0.0850851 | − | 0.0774089i | ||||
\(195\) | 1.33013 | + | 2.25275i | 0.0952529 | + | 0.161322i | ||||
\(196\) | −0.905977 | − | 9.56766i | −0.0647126 | − | 0.683404i | ||||
\(197\) | 19.2785 | − | 5.16566i | 1.37354 | − | 0.368038i | 0.504767 | − | 0.863255i | \(-0.331578\pi\) |
0.868769 | + | 0.495217i | \(0.164912\pi\) | |||||||
\(198\) | 0.637280 | + | 1.99630i | 0.0452895 | + | 0.141871i | ||||
\(199\) | −5.62998 | − | 9.75141i | −0.399098 | − | 0.691259i | 0.594516 | − | 0.804083i | \(-0.297344\pi\) |
−0.993615 | + | 0.112825i | \(0.964010\pi\) | |||||||
\(200\) | −12.5264 | + | 1.78588i | −0.885749 | + | 0.126281i | ||||
\(201\) | 7.02284 | + | 1.88176i | 0.495353 | + | 0.132729i | ||||
\(202\) | 13.6310 | − | 8.75250i | 0.959072 | − | 0.615823i | ||||
\(203\) | −7.24355 | − | 7.24355i | −0.508398 | − | 0.508398i | ||||
\(204\) | 2.04795 | − | 1.45590i | 0.143385 | − | 0.101933i | ||||
\(205\) | −0.705151 | + | 1.22136i | −0.0492499 | + | 0.0853033i | ||||
\(206\) | 3.12806 | + | 1.61419i | 0.217942 | + | 0.112466i | ||||
\(207\) | −3.37883 | −0.234845 | ||||||||
\(208\) | −14.3934 | − | 0.911019i | −0.998003 | − | 0.0631678i | ||||
\(209\) | 9.49752 | 0.656957 | ||||||||
\(210\) | −1.35092 | − | 0.697123i | −0.0932223 | − | 0.0481061i | ||||
\(211\) | 0.571787 | − | 0.990365i | 0.0393635 | − | 0.0681795i | −0.845672 | − | 0.533702i | \(-0.820800\pi\) |
0.885036 | + | 0.465523i | \(0.154134\pi\) | |||||||
\(212\) | −0.836731 | + | 0.594838i | −0.0574669 | + | 0.0408536i | ||||
\(213\) | 2.67700 | + | 2.67700i | 0.183425 | + | 0.183425i | ||||
\(214\) | 12.2100 | − | 7.84005i | 0.834656 | − | 0.535935i | ||||
\(215\) | 6.41935 | + | 1.72006i | 0.437796 | + | 0.117307i | ||||
\(216\) | 0.399211 | + | 2.80011i | 0.0271628 | + | 0.190524i | ||||
\(217\) | −1.72848 | − | 2.99382i | −0.117337 | − | 0.203233i | ||||
\(218\) | 4.38561 | + | 13.7381i | 0.297031 | + | 0.930460i | ||||
\(219\) | −6.03939 | + | 1.61825i | −0.408104 | + | 0.109351i | ||||
\(220\) | 0.202710 | + | 2.14073i | 0.0136667 | + | 0.144328i | ||||
\(221\) | 3.23423 | + | 3.17165i | 0.217558 | + | 0.213348i | ||||
\(222\) | −3.81901 | − | 3.47447i | −0.256315 | − | 0.233191i | ||||
\(223\) | −14.1824 | + | 3.80017i | −0.949726 | + | 0.254478i | −0.700246 | − | 0.713902i | \(-0.746926\pi\) |
−0.249480 | + | 0.968380i | \(0.580260\pi\) | |||||||
\(224\) | 7.36330 | − | 4.00181i | 0.491981 | − | 0.267382i | ||||
\(225\) | −3.87419 | + | 2.23676i | −0.258279 | + | 0.149118i | ||||
\(226\) | 0.316509 | + | 6.70001i | 0.0210539 | + | 0.445678i | ||||
\(227\) | −8.65489 | − | 2.31907i | −0.574445 | − | 0.153922i | −0.0401107 | − | 0.999195i | \(-0.512771\pi\) |
−0.534334 | + | 0.845273i | \(0.679438\pi\) | |||||||
\(228\) | 12.6399 | + | 2.13577i | 0.837097 | + | 0.141445i | ||||
\(229\) | −1.63656 | + | 1.63656i | −0.108147 | + | 0.108147i | −0.759110 | − | 0.650963i | \(-0.774365\pi\) |
0.650963 | + | 0.759110i | \(0.274365\pi\) | |||||||
\(230\) | −3.38759 | − | 0.738325i | −0.223371 | − | 0.0486837i | ||||
\(231\) | 1.09761 | − | 1.90112i | 0.0722175 | − | 0.125084i | ||||
\(232\) | −7.29035 | + | 18.1481i | −0.478635 | + | 1.19148i | ||||
\(233\) | − | 15.2245i | − | 0.997391i | −0.866777 | − | 0.498695i | \(-0.833813\pi\) | ||
0.866777 | − | 0.498695i | \(-0.166187\pi\) | |||||||
\(234\) | −4.84213 | + | 1.59804i | −0.316540 | + | 0.104467i | ||||
\(235\) | 3.04464 | 0.198610 | ||||||||
\(236\) | −26.1284 | + | 9.72188i | −1.70081 | + | 0.632841i | ||||
\(237\) | −2.81373 | − | 1.62451i | −0.182771 | − | 0.105523i | ||||
\(238\) | −2.57185 | − | 0.560534i | −0.166708 | − | 0.0363341i | ||||
\(239\) | −20.1260 | − | 20.1260i | −1.30184 | − | 1.30184i | −0.927149 | − | 0.374693i | \(-0.877748\pi\) |
−0.374693 | − | 0.927149i | \(-0.622252\pi\) | |||||||
\(240\) | −0.211622 | + | 2.89461i | −0.0136601 | + | 0.186846i | ||||
\(241\) | 0.968043 | − | 3.61278i | 0.0623571 | − | 0.232720i | −0.927713 | − | 0.373294i | \(-0.878228\pi\) |
0.990070 | + | 0.140574i | \(0.0448949\pi\) | |||||||
\(242\) | 12.4373 | − | 0.587541i | 0.799502 | − | 0.0377686i | ||||
\(243\) | 0.500000 | + | 0.866025i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | −25.6753 | − | 11.7500i | −1.64369 | − | 0.752219i | ||||
\(245\) | −0.902396 | − | 3.36779i | −0.0576520 | − | 0.215160i | ||||
\(246\) | −2.03323 | − | 1.84980i | −0.129634 | − | 0.117939i | ||||
\(247\) | 0.225764 | + | 23.1088i | 0.0143650 | + | 1.47038i | ||||
\(248\) | −3.96150 | + | 5.27889i | −0.251555 | + | 0.335210i | ||||
\(249\) | 1.06120 | + | 3.96046i | 0.0672510 | + | 0.250984i | ||||
\(250\) | −9.26065 | + | 2.95628i | −0.585695 | + | 0.186971i | ||||
\(251\) | 19.4389 | − | 11.2231i | 1.22697 | − | 0.708393i | 0.260577 | − | 0.965453i | \(-0.416087\pi\) |
0.966395 | + | 0.257060i | \(0.0827538\pi\) | |||||||
\(252\) | 1.88829 | − | 2.28330i | 0.118951 | − | 0.143834i | ||||
\(253\) | 1.29582 | − | 4.83608i | 0.0814678 | − | 0.304042i | ||||
\(254\) | −22.3886 | + | 14.3758i | −1.40479 | + | 0.902017i | ||||
\(255\) | 0.644592 | − | 0.644592i | 0.0403659 | − | 0.0403659i | ||||
\(256\) | −12.5455 | − | 9.93022i | −0.784097 | − | 0.620639i | ||||
\(257\) | 25.8091 | + | 14.9009i | 1.60993 | + | 0.929494i | 0.989384 | + | 0.145324i | \(0.0464223\pi\) |
0.620546 | + | 0.784170i | \(0.286911\pi\) | |||||||
\(258\) | −5.94002 | + | 11.5109i | −0.369809 | + | 0.716635i | ||||
\(259\) | 5.40858i | 0.336073i | ||||||||
\(260\) | −5.20389 | + | 0.544108i | −0.322731 | + | 0.0337441i | ||||
\(261\) | 6.91468i | 0.428008i | ||||||||
\(262\) | 1.76076 | + | 0.908616i | 0.108780 | + | 0.0561345i | ||||
\(263\) | 2.11644 | + | 1.22193i | 0.130506 | + | 0.0753474i | 0.563831 | − | 0.825890i | \(-0.309327\pi\) |
−0.433326 | + | 0.901237i | \(0.642660\pi\) | |||||||
\(264\) | −4.16088 | − | 0.502494i | −0.256084 | − | 0.0309263i | ||||
\(265\) | −0.263361 | + | 0.263361i | −0.0161782 | + | 0.0161782i | ||||
\(266\) | −7.25567 | − | 11.2999i | −0.444874 | − | 0.692838i | ||||
\(267\) | −0.549972 | + | 2.05252i | −0.0336577 | + | 0.125612i | ||||
\(268\) | −9.26706 | + | 11.2057i | −0.566076 | + | 0.684495i | ||||
\(269\) | −22.9614 | + | 13.2568i | −1.39998 | + | 0.808280i | −0.994390 | − | 0.105774i | \(-0.966268\pi\) |
−0.405592 | + | 0.914054i | \(0.632935\pi\) | |||||||
\(270\) | 0.312057 | + | 0.977529i | 0.0189912 | + | 0.0594905i | ||||
\(271\) | −1.72024 | − | 6.42004i | −0.104497 | − | 0.389990i | 0.893790 | − | 0.448485i | \(-0.148036\pi\) |
−0.998288 | + | 0.0584956i | \(0.981370\pi\) | |||||||
\(272\) | 0.943273 | + | 4.93610i | 0.0571943 | + | 0.299295i | ||||
\(273\) | 4.65178 | + | 2.62545i | 0.281538 | + | 0.158899i | ||||
\(274\) | 15.9551 | − | 17.5373i | 0.963882 | − | 1.05946i | ||||
\(275\) | −1.71566 | − | 6.40292i | −0.103458 | − | 0.386111i | ||||
\(276\) | 2.81208 | − | 6.14476i | 0.169268 | − | 0.369871i | ||||
\(277\) | 0.878646 | + | 1.52186i | 0.0527927 | + | 0.0914397i | 0.891214 | − | 0.453583i | \(-0.149854\pi\) |
−0.838421 | + | 0.545023i | \(0.816521\pi\) | |||||||
\(278\) | 1.01113 | + | 21.4041i | 0.0606437 | + | 1.28373i | ||||
\(279\) | −0.603943 | + | 2.25395i | −0.0361571 | + | 0.134940i | ||||
\(280\) | 2.39212 | − | 1.87660i | 0.142956 | − | 0.112148i | ||||
\(281\) | 17.3570 | + | 17.3570i | 1.03543 | + | 1.03543i | 0.999349 | + | 0.0360826i | \(0.0114879\pi\) |
0.0360826 | + | 0.999349i | \(0.488512\pi\) | |||||||
\(282\) | −1.26370 | + | 5.79811i | −0.0752522 | + | 0.345272i | ||||
\(283\) | −3.46233 | − | 1.99897i | −0.205814 | − | 0.118827i | 0.393551 | − | 0.919303i | \(-0.371247\pi\) |
−0.599364 | + | 0.800476i | \(0.704580\pi\) | |||||||
\(284\) | −7.09640 | + | 2.64044i | −0.421094 | + | 0.156681i | ||||
\(285\) | 4.65064 | 0.275480 | ||||||||
\(286\) | −0.430244 | − | 7.54337i | −0.0254409 | − | 0.446049i | ||||
\(287\) | 2.87952i | 0.169973i | ||||||||
\(288\) | −5.42455 | − | 1.60443i | −0.319645 | − | 0.0945421i | ||||
\(289\) | −7.71078 | + | 13.3555i | −0.453576 | + | 0.785616i | ||||
\(290\) | −1.51096 | + | 6.93261i | −0.0887268 | + | 0.407097i | ||||
\(291\) | 0.801083 | − | 0.801083i | 0.0469603 | − | 0.0469603i | ||||
\(292\) | 2.08342 | − | 12.3301i | 0.121923 | − | 0.721564i | ||||
\(293\) | 20.3123 | + | 5.44266i | 1.18666 | + | 0.317963i | 0.797563 | − | 0.603235i | \(-0.206122\pi\) |
0.389093 | + | 0.921199i | \(0.372789\pi\) | |||||||
\(294\) | 6.78805 | − | 0.320668i | 0.395887 | − | 0.0187018i | ||||
\(295\) | −8.75903 | + | 5.05703i | −0.509971 | + | 0.294432i | ||||
\(296\) | 9.49712 | − | 4.05360i | 0.552009 | − | 0.235611i | ||||
\(297\) | −1.43129 | + | 0.383513i | −0.0830519 | + | 0.0222537i | ||||
\(298\) | −7.40550 | + | 8.13987i | −0.428989 | + | 0.471530i | ||||
\(299\) | 11.7977 | + | 3.03796i | 0.682276 | + | 0.175690i | ||||
\(300\) | −0.843438 | − | 8.90721i | −0.0486959 | − | 0.514258i | ||||
\(301\) | 13.1069 | − | 3.51197i | 0.755466 | − | 0.202427i | ||||
\(302\) | −13.2620 | + | 4.23364i | −0.763144 | + | 0.243619i | ||||
\(303\) | 5.72724 | + | 9.91986i | 0.329021 | + | 0.569881i | ||||
\(304\) | −14.4039 | + | 21.2095i | −0.826119 | + | 1.21645i | ||||
\(305\) | −9.89482 | − | 2.65131i | −0.566576 | − | 0.151814i | ||||
\(306\) | 0.959997 | + | 1.49508i | 0.0548794 | + | 0.0854681i | ||||
\(307\) | −1.73231 | − | 1.73231i | −0.0988683 | − | 0.0988683i | 0.655943 | − | 0.754811i | \(-0.272271\pi\) |
−0.754811 | + | 0.655943i | \(0.772271\pi\) | |||||||
\(308\) | 2.54388 | + | 3.57836i | 0.144951 | + | 0.203896i | ||||
\(309\) | −1.24450 | + | 2.15555i | −0.0707974 | + | 0.122625i | ||||
\(310\) | −1.09803 | + | 2.12782i | −0.0623640 | + | 0.120852i | ||||
\(311\) | −2.28061 | −0.129321 | −0.0646606 | − | 0.997907i | \(-0.520596\pi\) | ||||
−0.0646606 | + | 0.997907i | \(0.520596\pi\) | |||||||
\(312\) | 1.12373 | − | 10.1359i | 0.0636186 | − | 0.573834i | ||||
\(313\) | 32.2565 | 1.82325 | 0.911623 | − | 0.411028i | \(-0.134830\pi\) | ||||
0.911623 | + | 0.411028i | \(0.134830\pi\) | |||||||
\(314\) | 6.88639 | − | 13.3448i | 0.388621 | − | 0.753090i | ||||
\(315\) | 0.537467 | − | 0.930920i | 0.0302828 | − | 0.0524514i | ||||
\(316\) | 5.29612 | − | 3.76505i | 0.297930 | − | 0.211800i | ||||
\(317\) | −17.9781 | − | 17.9781i | −1.00975 | − | 1.00975i | −0.999952 | − | 0.00979695i | \(-0.996881\pi\) |
−0.00979695 | − | 0.999952i | \(-0.503119\pi\) | |||||||
\(318\) | −0.392226 | − | 0.610846i | −0.0219950 | − | 0.0342546i | ||||
\(319\) | −9.89691 | − | 2.65187i | −0.554121 | − | 0.148476i | ||||
\(320\) | −5.08803 | − | 2.79394i | −0.284429 | − | 0.156186i | ||||
\(321\) | 5.13018 | + | 8.88572i | 0.286338 | + | 0.495953i | ||||
\(322\) | −6.74377 | + | 2.15281i | −0.375816 | + | 0.119972i | ||||
\(323\) | 7.77826 | − | 2.08418i | 0.432794 | − | 0.115967i | ||||
\(324\) | −1.99109 | + | 0.188540i | −0.110616 | + | 0.0104744i | ||||
\(325\) | 15.5384 | − | 4.32664i | 0.861916 | − | 0.239999i | ||||
\(326\) | −11.0307 | + | 12.1246i | −0.610934 | + | 0.671518i | ||||
\(327\) | −9.84980 | + | 2.63925i | −0.544695 | + | 0.145951i | ||||
\(328\) | 5.05625 | − | 2.15813i | 0.279185 | − | 0.119163i | ||||
\(329\) | 5.38361 | − | 3.10823i | 0.296808 | − | 0.171362i | ||||
\(330\) | −1.51881 | + | 0.0717486i | −0.0836075 | + | 0.00394963i | ||||
\(331\) | 28.0985 | + | 7.52896i | 1.54443 | + | 0.413829i | 0.927694 | − | 0.373341i | \(-0.121788\pi\) |
0.616736 | + | 0.787170i | \(0.288454\pi\) | |||||||
\(332\) | −8.08573 | − | 1.36625i | −0.443762 | − | 0.0749826i | ||||
\(333\) | 2.58151 | − | 2.58151i | 0.141466 | − | 0.141466i | ||||
\(334\) | 2.70947 | − | 12.4316i | 0.148255 | − | 0.680226i | ||||
\(335\) | −2.63770 | + | 4.56864i | −0.144113 | + | 0.249611i | ||||
\(336\) | 2.58087 | + | 5.33437i | 0.140798 | + | 0.291013i | ||||
\(337\) | 13.9376i | 0.759229i | 0.925145 | + | 0.379615i | \(0.123943\pi\) | ||||
−0.925145 | + | 0.379615i | \(0.876057\pi\) | |||||||
\(338\) | 18.3438 | − | 1.22616i | 0.997773 | − | 0.0666941i | ||||
\(339\) | −4.74291 | −0.257599 | ||||||||
\(340\) | 0.635787 | + | 1.70873i | 0.0344804 | + | 0.0926690i | ||||
\(341\) | −2.99443 | − | 1.72884i | −0.162158 | − | 0.0936217i | ||||
\(342\) | −1.93028 | + | 8.85653i | −0.104378 | + | 0.478906i | ||||
\(343\) | −12.3667 | − | 12.3667i | −0.667739 | − | 0.667739i | ||||
\(344\) | −15.9901 | − | 20.3827i | −0.862126 | − | 1.09896i | ||||
\(345\) | 0.634526 | − | 2.36808i | 0.0341617 | − | 0.127493i | ||||
\(346\) | 0.930729 | + | 19.7021i | 0.0500363 | + | 1.05919i | ||||
\(347\) | −14.4501 | − | 25.0283i | −0.775720 | − | 1.34359i | −0.934389 | − | 0.356255i | \(-0.884053\pi\) |
0.158668 | − | 0.987332i | \(-0.449280\pi\) | |||||||
\(348\) | −12.5751 | − | 5.75485i | −0.674095 | − | 0.308493i | ||||
\(349\) | −5.08095 | − | 18.9624i | −0.271977 | − | 1.01503i | −0.957840 | − | 0.287302i | \(-0.907242\pi\) |
0.685863 | − | 0.727731i | \(-0.259425\pi\) | |||||||
\(350\) | −6.30731 | + | 6.93278i | −0.337140 | + | 0.370572i | ||||
\(351\) | −0.967164 | − | 3.47341i | −0.0516234 | − | 0.185397i | ||||
\(352\) | 4.37680 | − | 7.14879i | 0.233284 | − | 0.381032i | ||||
\(353\) | −4.83344 | − | 18.0387i | −0.257258 | − | 0.960101i | −0.966820 | − | 0.255458i | \(-0.917774\pi\) |
0.709562 | − | 0.704643i | \(-0.248893\pi\) | |||||||
\(354\) | −5.99494 | − | 18.7794i | −0.318627 | − | 0.998112i | ||||
\(355\) | −2.37893 | + | 1.37348i | −0.126261 | + | 0.0728966i | ||||
\(356\) | −3.27501 | − | 2.70843i | −0.173575 | − | 0.143546i | ||||
\(357\) | 0.481730 | − | 1.79784i | 0.0254959 | − | 0.0951518i | ||||
\(358\) | 7.09026 | + | 11.0422i | 0.374732 | + | 0.583600i | ||||
\(359\) | 16.3844 | − | 16.3844i | 0.864734 | − | 0.864734i | −0.127149 | − | 0.991884i | \(-0.540583\pi\) |
0.991884 | + | 0.127149i | \(0.0405827\pi\) | |||||||
\(360\) | −2.03745 | − | 0.246056i | −0.107383 | − | 0.0129683i | ||||
\(361\) | 19.1236 | + | 11.0410i | 1.00651 | + | 0.581107i | ||||
\(362\) | −26.1237 | − | 13.4808i | −1.37303 | − | 0.708534i | ||||
\(363\) | 8.80433i | 0.462107i | ||||||||
\(364\) | −8.64618 | + | 6.27468i | −0.453183 | + | 0.328883i | ||||
\(365\) | − | 4.53666i | − | 0.237460i | ||||||
\(366\) | 9.15598 | − | 17.7429i | 0.478591 | − | 0.927437i | ||||
\(367\) | 25.4992 | + | 14.7220i | 1.33105 | + | 0.768480i | 0.985460 | − | 0.169907i | \(-0.0543466\pi\) |
0.345587 | + | 0.938387i | \(0.387680\pi\) | |||||||
\(368\) | 8.83450 | + | 10.2282i | 0.460530 | + | 0.533179i | ||||
\(369\) | 1.37439 | − | 1.37439i | 0.0715479 | − | 0.0715479i | ||||
\(370\) | 3.15230 | − | 2.02410i | 0.163880 | − | 0.105228i | ||||
\(371\) | −0.196821 | + | 0.734545i | −0.0102184 | + | 0.0381357i | ||||
\(372\) | −3.59640 | − | 2.97422i | −0.186465 | − | 0.154206i | ||||
\(373\) | −20.6658 | + | 11.9314i | −1.07003 | + | 0.617785i | −0.928191 | − | 0.372104i | \(-0.878636\pi\) |
−0.141844 | + | 0.989889i | \(0.545303\pi\) | |||||||
\(374\) | −2.50807 | + | 0.800651i | −0.129689 | + | 0.0414007i | ||||
\(375\) | −1.77908 | − | 6.63961i | −0.0918712 | − | 0.342868i | ||||
\(376\) | −9.49274 | − | 7.12374i | −0.489551 | − | 0.367379i | ||||
\(377\) | 6.21711 | − | 24.1436i | 0.320197 | − | 1.24346i | ||||
\(378\) | 1.54973 | + | 1.40992i | 0.0797097 | + | 0.0725184i | ||||
\(379\) | 3.24058 | + | 12.0940i | 0.166457 | + | 0.621227i | 0.997850 | + | 0.0655416i | \(0.0208775\pi\) |
−0.831393 | + | 0.555686i | \(0.812456\pi\) | |||||||
\(380\) | −3.87058 | + | 8.45770i | −0.198556 | + | 0.433871i | ||||
\(381\) | −9.40686 | − | 16.2932i | −0.481928 | − | 0.834724i | ||||
\(382\) | 36.8027 | − | 1.73856i | 1.88299 | − | 0.0889527i | ||||
\(383\) | −8.74431 | + | 32.6342i | −0.446814 | + | 1.66753i | 0.264290 | + | 0.964443i | \(0.414862\pi\) |
−0.711103 | + | 0.703088i | \(0.751804\pi\) | |||||||
\(384\) | 7.43251 | − | 8.52982i | 0.379289 | − | 0.435286i | ||||
\(385\) | 1.12629 | + | 1.12629i | 0.0574011 | + | 0.0574011i | ||||
\(386\) | 20.7662 | + | 4.52600i | 1.05697 | + | 0.230367i | ||||
\(387\) | −7.93214 | − | 4.57963i | −0.403214 | − | 0.232795i | ||||
\(388\) | 0.790141 | + | 2.12357i | 0.0401133 | + | 0.107808i | ||||
\(389\) | 29.5448 | 1.49798 | 0.748990 | − | 0.662581i | \(-0.230539\pi\) | ||||
0.748990 | + | 0.662581i | \(0.230539\pi\) | |||||||
\(390\) | −0.210678 | − | 3.69376i | −0.0106681 | − | 0.187041i | ||||
\(391\) | − | 4.24501i | − | 0.214679i | ||||||
\(392\) | −5.06630 | + | 12.6117i | −0.255887 | + | 0.636986i | ||||
\(393\) | −0.700524 | + | 1.21334i | −0.0353367 | + | 0.0612050i | ||||
\(394\) | −27.5783 | − | 6.01069i | −1.38937 | − | 0.302814i | ||||
\(395\) | 1.66696 | − | 1.66696i | 0.0838736 | − | 0.0838736i | ||||
\(396\) | 0.493755 | − | 2.92214i | 0.0248121 | − | 0.146843i | ||||
\(397\) | −28.0508 | − | 7.51619i | −1.40783 | − | 0.377227i | −0.526679 | − | 0.850064i | \(-0.676563\pi\) |
−0.881150 | + | 0.472838i | \(0.843230\pi\) | |||||||
\(398\) | 0.751413 | + | 15.9062i | 0.0376649 | + | 0.797308i | ||||
\(399\) | 8.22340 | − | 4.74778i | 0.411685 | − | 0.237686i | ||||
\(400\) | 16.9007 | + | 5.87929i | 0.845035 | + | 0.293965i | ||||
\(401\) | −5.34143 | + | 1.43123i | −0.266738 | + | 0.0714723i | −0.389709 | − | 0.920938i | \(-0.627424\pi\) |
0.122971 | + | 0.992410i | \(0.460758\pi\) | |||||||
\(402\) | −7.60556 | − | 6.91940i | −0.379331 | − | 0.345108i | ||||
\(403\) | 4.13532 | − | 7.32697i | 0.205995 | − | 0.364982i | ||||
\(404\) | −22.8069 | + | 2.15962i | −1.13469 | + | 0.107445i | ||||
\(405\) | −0.700859 | + | 0.187795i | −0.0348260 | + | 0.00933159i | ||||
\(406\) | 4.40568 | + | 13.8009i | 0.218650 | + | 0.684930i | ||||
\(407\) | 2.70485 | + | 4.68493i | 0.134074 | + | 0.232223i | ||||
\(408\) | −3.51794 | + | 0.501551i | −0.174164 | + | 0.0248305i | ||||
\(409\) | −17.8385 | − | 4.77981i | −0.882056 | − | 0.236346i | −0.210762 | − | 0.977537i | \(-0.567595\pi\) |
−0.671294 | + | 0.741191i | \(0.734261\pi\) | |||||||
\(410\) | 1.67828 | − | 1.07763i | 0.0828843 | − | 0.0532203i | ||||
\(411\) | 11.8545 | + | 11.8545i | 0.584741 | + | 0.584741i | ||||
\(412\) | −2.88433 | − | 4.05725i | −0.142101 | − | 0.199887i | ||||
\(413\) | −10.3253 | + | 17.8840i | −0.508075 | + | 0.880012i | ||||
\(414\) | 4.24633 | + | 2.19126i | 0.208696 | + | 0.107694i | ||||
\(415\) | −2.97501 | −0.146038 | ||||||||
\(416\) | 17.4980 | + | 10.4794i | 0.857912 | + | 0.513796i | ||||
\(417\) | −15.1519 | −0.741990 | ||||||||
\(418\) | −11.9360 | − | 6.15939i | −0.583808 | − | 0.301266i | ||||
\(419\) | 14.1415 | − | 24.4939i | 0.690859 | − | 1.19660i | −0.280698 | − | 0.959796i | \(-0.590566\pi\) |
0.971557 | − | 0.236807i | \(-0.0761009\pi\) | |||||||
\(420\) | 1.24566 | + | 1.75221i | 0.0607821 | + | 0.0854993i | ||||
\(421\) | 19.6915 | + | 19.6915i | 0.959704 | + | 0.959704i | 0.999219 | − | 0.0395149i | \(-0.0125812\pi\) |
−0.0395149 | + | 0.999219i | \(0.512581\pi\) | |||||||
\(422\) | −1.36087 | + | 0.873819i | −0.0662461 | + | 0.0425368i | ||||
\(423\) | −4.05315 | − | 1.08604i | −0.197071 | − | 0.0528050i | ||||
\(424\) | 1.43733 | − | 0.204919i | 0.0698028 | − | 0.00995174i | ||||
\(425\) | −2.81017 | − | 4.86736i | −0.136313 | − | 0.236102i | ||||
\(426\) | −1.62821 | − | 5.10043i | −0.0788870 | − | 0.247116i | ||||
\(427\) | −20.2030 | + | 5.41337i | −0.977691 | + | 0.261971i | ||||
\(428\) | −20.4293 | + | 1.93448i | −0.987488 | + | 0.0935068i | ||||
\(429\) | 5.34238 | − | 0.0521930i | 0.257933 | − | 0.00251990i | ||||
\(430\) | −6.95199 | − | 6.32479i | −0.335255 | − | 0.305009i | ||||
\(431\) | 30.7854 | − | 8.24891i | 1.48288 | − | 0.397336i | 0.575553 | − | 0.817764i | \(-0.304787\pi\) |
0.907326 | + | 0.420428i | \(0.138120\pi\) | |||||||
\(432\) | 1.31424 | − | 3.77793i | 0.0632314 | − | 0.181766i | ||||
\(433\) | 13.1701 | − | 7.60376i | 0.632915 | − | 0.365414i | −0.148965 | − | 0.988842i | \(-0.547594\pi\) |
0.781880 | + | 0.623429i | \(0.214261\pi\) | |||||||
\(434\) | 0.230694 | + | 4.88344i | 0.0110737 | + | 0.234412i | ||||
\(435\) | −4.84622 | − | 1.29854i | −0.232358 | − | 0.0622602i | ||||
\(436\) | 3.39791 | − | 20.1095i | 0.162730 | − | 0.963069i | ||||
\(437\) | 15.3136 | − | 15.3136i | 0.732548 | − | 0.732548i | ||||
\(438\) | 8.63946 | + | 1.88297i | 0.412809 | + | 0.0899719i | ||||
\(439\) | 1.65131 | − | 2.86016i | 0.0788129 | − | 0.136508i | −0.823925 | − | 0.566699i | \(-0.808220\pi\) |
0.902738 | + | 0.430191i | \(0.141554\pi\) | |||||||
\(440\) | 1.13357 | − | 2.82182i | 0.0540407 | − | 0.134525i | ||||
\(441\) | 4.80523i | 0.228820i | ||||||||
\(442\) | −2.00771 | − | 6.08344i | −0.0954972 | − | 0.289360i | ||||
\(443\) | −12.1161 | −0.575654 | −0.287827 | − | 0.957682i | \(-0.592933\pi\) | ||||
−0.287827 | + | 0.957682i | \(0.592933\pi\) | |||||||
\(444\) | 2.54625 | + | 6.84325i | 0.120840 | + | 0.324766i | ||||
\(445\) | −1.33525 | − | 0.770906i | −0.0632968 | − | 0.0365444i | ||||
\(446\) | 20.2882 | + | 4.42183i | 0.960676 | + | 0.209380i | ||||
\(447\) | −5.50225 | − | 5.50225i | −0.260247 | − | 0.260247i | ||||
\(448\) | −11.8491 | + | 0.253975i | −0.559817 | + | 0.0119992i | ||||
\(449\) | 2.46287 | − | 9.19155i | 0.116230 | − | 0.433776i | −0.883146 | − | 0.469098i | \(-0.844579\pi\) |
0.999376 | + | 0.0353221i | \(0.0112457\pi\) | |||||||
\(450\) | 6.31948 | − | 0.298533i | 0.297903 | − | 0.0140730i | ||||
\(451\) | 1.44006 | + | 2.49425i | 0.0678096 | + | 0.117450i | ||||
\(452\) | 3.94736 | − | 8.62548i | 0.185668 | − | 0.405709i | ||||
\(453\) | −2.54779 | − | 9.50849i | −0.119706 | − | 0.446748i | ||||
\(454\) | 9.37303 | + | 8.52741i | 0.439898 | + | 0.400211i | ||||
\(455\) | −2.71365 | + | 2.76720i | −0.127218 | + | 0.129728i | ||||
\(456\) | −14.5000 | − | 10.8814i | −0.679027 | − | 0.509569i | ||||
\(457\) | −3.13824 | − | 11.7121i | −0.146800 | − | 0.547867i | −0.999669 | − | 0.0257405i | \(-0.991806\pi\) |
0.852868 | − | 0.522126i | \(-0.174861\pi\) | |||||||
\(458\) | 3.11809 | − | 0.995387i | 0.145699 | − | 0.0465114i | ||||
\(459\) | −1.08804 | + | 0.628178i | −0.0507852 | + | 0.0293208i | ||||
\(460\) | 3.77852 | + | 3.12483i | 0.176174 | + | 0.145696i | ||||
\(461\) | −6.26259 | + | 23.3723i | −0.291678 | + | 1.08856i | 0.652142 | + | 0.758097i | \(0.273871\pi\) |
−0.943820 | + | 0.330460i | \(0.892796\pi\) | |||||||
\(462\) | −2.61235 | + | 1.67740i | −0.121537 | + | 0.0780395i | ||||
\(463\) | 12.7547 | − | 12.7547i | 0.592763 | − | 0.592763i | −0.345614 | − | 0.938377i | \(-0.612329\pi\) |
0.938377 | + | 0.345614i | \(0.112329\pi\) | |||||||
\(464\) | 20.9316 | − | 18.0796i | 0.971727 | − | 0.839323i | ||||
\(465\) | −1.46628 | − | 0.846559i | −0.0679972 | − | 0.0392582i | ||||
\(466\) | −9.87350 | + | 19.1334i | −0.457381 | + | 0.886336i | ||||
\(467\) | 18.1587i | 0.840286i | 0.907458 | + | 0.420143i | \(0.138020\pi\) | ||||
−0.907458 | + | 0.420143i | \(0.861980\pi\) | |||||||
\(468\) | 7.12171 | + | 1.13191i | 0.329201 | + | 0.0523227i | ||||
\(469\) | 10.7712i | 0.497367i | ||||||||
\(470\) | −3.82634 | − | 1.97453i | −0.176496 | − | 0.0910782i | ||||
\(471\) | 9.19590 | + | 5.30926i | 0.423725 | + | 0.244638i | ||||
\(472\) | 39.1417 | + | 4.72699i | 1.80164 | + | 0.217577i | ||||
\(473\) | 9.59686 | − | 9.59686i | 0.441264 | − | 0.441264i | ||||
\(474\) | 2.48261 | + | 3.86637i | 0.114030 | + | 0.177588i | ||||
\(475\) | 7.42117 | − | 27.6962i | 0.340507 | − | 1.27079i | ||||
\(476\) | 2.86864 | + | 2.37236i | 0.131484 | + | 0.108737i | ||||
\(477\) | 0.444540 | − | 0.256655i | 0.0203541 | − | 0.0117514i | ||||
\(478\) | 12.2410 | + | 38.3455i | 0.559892 | + | 1.75388i | ||||
\(479\) | 4.24253 | + | 15.8334i | 0.193846 | + | 0.723444i | 0.992562 | + | 0.121736i | \(0.0388463\pi\) |
−0.798716 | + | 0.601708i | \(0.794487\pi\) | |||||||
\(480\) | 2.14318 | − | 3.50055i | 0.0978225 | − | 0.159777i | ||||
\(481\) | −11.3348 | + | 6.69263i | −0.516822 | + | 0.305158i | ||||
\(482\) | −3.55957 | + | 3.91256i | −0.162134 | + | 0.178212i | ||||
\(483\) | −1.29556 | − | 4.83509i | −0.0589499 | − | 0.220004i | ||||
\(484\) | −16.0116 | − | 7.32754i | −0.727800 | − | 0.333070i | ||||
\(485\) | 0.411007 | + | 0.711885i | 0.0186629 | + | 0.0323251i | ||||
\(486\) | −0.0667332 | − | 1.41264i | −0.00302708 | − | 0.0640786i | ||||
\(487\) | −9.33917 | + | 34.8542i | −0.423198 | + | 1.57940i | 0.344629 | + | 0.938739i | \(0.388005\pi\) |
−0.767827 | + | 0.640658i | \(0.778662\pi\) | |||||||
\(488\) | 24.6472 | + | 31.4180i | 1.11573 | + | 1.42222i | ||||
\(489\) | −8.19576 | − | 8.19576i | −0.370625 | − | 0.370625i | ||||
\(490\) | −1.05002 | + | 4.81769i | −0.0474349 | + | 0.217641i | ||||
\(491\) | −12.9846 | − | 7.49664i | −0.585985 | − | 0.338319i | 0.177523 | − | 0.984117i | \(-0.443192\pi\) |
−0.763508 | + | 0.645798i | \(0.776525\pi\) | |||||||
\(492\) | 1.35562 | + | 3.64334i | 0.0611160 | + | 0.164254i | ||||
\(493\) | −8.68730 | −0.391256 | ||||||||
\(494\) | 14.7029 | − | 29.1883i | 0.661516 | − | 1.31324i | ||||
\(495\) | − | 1.07516i | − | 0.0483246i | ||||||
\(496\) | 8.40210 | − | 4.06510i | 0.377266 | − | 0.182528i | ||||
\(497\) | −2.80433 | + | 4.85724i | −0.125791 | + | 0.217877i | ||||
\(498\) | 1.23480 | − | 5.66552i | 0.0553327 | − | 0.253878i | ||||
\(499\) | −30.5157 | + | 30.5157i | −1.36607 | + | 1.36607i | −0.500105 | + | 0.865965i | \(0.666705\pi\) |
−0.865965 | + | 0.500105i | \(0.833295\pi\) | |||||||
\(500\) | 13.5555 | + | 2.29048i | 0.606221 | + | 0.102433i | ||||
\(501\) | 8.69026 | + | 2.32855i | 0.388252 | + | 0.104032i | ||||
\(502\) | −31.7082 | + | 1.49790i | −1.41521 | + | 0.0668546i | ||||
\(503\) | 30.7732 | − | 17.7669i | 1.37211 | − | 0.792187i | 0.380914 | − | 0.924610i | \(-0.375609\pi\) |
0.991193 | + | 0.132424i | \(0.0422760\pi\) | |||||||
\(504\) | −3.85388 | + | 1.64493i | −0.171665 | + | 0.0732709i | ||||
\(505\) | −8.02797 | + | 2.15109i | −0.357240 | + | 0.0957222i | ||||
\(506\) | −4.76485 | + | 5.23736i | −0.211823 | + | 0.232829i | ||||
\(507\) | 0.253986 | + | 12.9975i | 0.0112799 | + | 0.577240i | ||||
\(508\) | 37.4599 | − | 3.54714i | 1.66201 | − | 0.157379i | ||||
\(509\) | 17.3479 | − | 4.64835i | 0.768931 | − | 0.206034i | 0.147032 | − | 0.989132i | \(-0.453028\pi\) |
0.621899 | + | 0.783097i | \(0.286361\pi\) | |||||||
\(510\) | −1.22812 | + | 0.392054i | −0.0543822 | + | 0.0173605i | ||||
\(511\) | −4.63141 | − | 8.02185i | −0.204882 | − | 0.354866i | ||||
\(512\) | 9.32657 | + | 20.6159i | 0.412180 | + | 0.911102i | ||||
\(513\) | −6.19113 | − | 1.65891i | −0.273345 | − | 0.0732426i | ||||
\(514\) | −22.7719 | − | 35.4646i | −1.00443 | − | 1.56428i | ||||
\(515\) | −1.27702 | − | 1.27702i | −0.0562724 | − | 0.0562724i | ||||
\(516\) | 14.9302 | − | 10.6140i | 0.657265 | − | 0.467255i | ||||
\(517\) | 3.10887 | − | 5.38472i | 0.136728 | − | 0.236820i | ||||
\(518\) | 3.50761 | − | 6.79722i | 0.154115 | − | 0.298653i | ||||
\(519\) | −13.9470 | −0.612206 | ||||||||
\(520\) | 6.89284 | + | 2.69105i | 0.302271 | + | 0.118010i | ||||
\(521\) | −33.0188 | −1.44658 | −0.723289 | − | 0.690545i | \(-0.757371\pi\) | ||||
−0.723289 | + | 0.690545i | \(0.757371\pi\) | |||||||
\(522\) | 4.48435 | − | 8.69000i | 0.196275 | − | 0.380351i | ||||
\(523\) | 0.905353 | − | 1.56812i | 0.0395883 | − | 0.0685690i | −0.845552 | − | 0.533893i | \(-0.820729\pi\) |
0.885141 | + | 0.465324i | \(0.154062\pi\) | |||||||
\(524\) | −1.62357 | − | 2.28380i | −0.0709261 | − | 0.0997684i | ||||
\(525\) | −4.68630 | − | 4.68630i | −0.204527 | − | 0.204527i | ||||
\(526\) | −1.86738 | − | 2.90823i | −0.0814217 | − | 0.126805i | ||||
\(527\) | −2.83176 | − | 0.758768i | −0.123353 | − | 0.0330524i | ||||
\(528\) | 4.90329 | + | 3.32995i | 0.213388 | + | 0.144917i | ||||
\(529\) | 5.79177 | + | 10.0316i | 0.251816 | + | 0.436158i | ||||
\(530\) | 0.501776 | − | 0.160182i | 0.0217957 | − | 0.00695786i | ||||
\(531\) | 13.4642 | − | 3.60773i | 0.584299 | − | 0.156562i | ||||
\(532\) | 1.79029 | + | 18.9066i | 0.0776190 | + | 0.819703i | ||||
\(533\) | −6.03462 | + | 3.56315i | −0.261389 | + | 0.154337i | ||||
\(534\) | 2.02229 | − | 2.22283i | 0.0875131 | − | 0.0961913i | ||||
\(535\) | −7.19106 | + | 1.92684i | −0.310897 | + | 0.0833045i | ||||
\(536\) | 18.9135 | − | 8.07274i | 0.816940 | − | 0.348689i | ||||
\(537\) | −8.03592 | + | 4.63954i | −0.346776 | + | 0.200211i | ||||
\(538\) | 37.4541 | − | 1.76934i | 1.61476 | − | 0.0762815i | ||||
\(539\) | −6.87768 | − | 1.84287i | −0.296243 | − | 0.0793780i | ||||
\(540\) | 0.241777 | − | 1.43088i | 0.0104044 | − | 0.0615754i | ||||
\(541\) | −27.7884 | + | 27.7884i | −1.19472 | + | 1.19472i | −0.218990 | + | 0.975727i | \(0.570276\pi\) |
−0.975727 | + | 0.218990i | \(0.929724\pi\) | |||||||
\(542\) | −2.00165 | + | 9.18399i | −0.0859783 | + | 0.394486i | ||||
\(543\) | 10.3934 | − | 18.0019i | 0.446023 | − | 0.772535i | ||||
\(544\) | 2.01574 | − | 6.81517i | 0.0864241 | − | 0.292198i | ||||
\(545\) | − | 7.39896i | − | 0.316937i | ||||||
\(546\) | −4.14343 | − | 6.31633i | −0.177323 | − | 0.270314i | ||||
\(547\) | 6.37762 | 0.272687 | 0.136344 | − | 0.990662i | \(-0.456465\pi\) | ||||
0.136344 | + | 0.990662i | \(0.456465\pi\) | |||||||
\(548\) | −31.4249 | + | 11.6926i | −1.34240 | + | 0.499484i | ||||
\(549\) | 12.2267 | + | 7.05906i | 0.521821 | + | 0.301273i | ||||
\(550\) | −1.99632 | + | 9.15950i | −0.0851232 | + | 0.390562i | ||||
\(551\) | −31.3388 | − | 31.3388i | −1.33508 | − | 1.33508i | ||||
\(552\) | −7.51912 | + | 5.89870i | −0.320035 | + | 0.251065i | ||||
\(553\) | 1.24578 | − | 4.64933i | 0.0529761 | − | 0.197710i | ||||
\(554\) | −0.117270 | − | 2.48242i | −0.00498231 | − | 0.105468i | ||||
\(555\) | 1.32448 | + | 2.29407i | 0.0562211 | + | 0.0973778i | ||||
\(556\) | 12.6104 | − | 27.5553i | 0.534799 | − | 1.16860i | ||||
\(557\) | −1.53541 | − | 5.73023i | −0.0650574 | − | 0.242798i | 0.925738 | − | 0.378166i | \(-0.123445\pi\) |
−0.990795 | + | 0.135368i | \(0.956778\pi\) | |||||||
\(558\) | 2.22075 | − | 2.44097i | 0.0940118 | − | 0.103334i | ||||
\(559\) | 23.5786 | + | 23.1224i | 0.997269 | + | 0.977972i | ||||
\(560\) | −4.22331 | + | 0.807061i | −0.178468 | + | 0.0341046i | ||||
\(561\) | −0.481829 | − | 1.79821i | −0.0203428 | − | 0.0759205i | ||||
\(562\) | −10.5569 | − | 33.0698i | −0.445315 | − | 1.39497i | ||||
\(563\) | 5.39506 | − | 3.11484i | 0.227375 | − | 0.131275i | −0.381986 | − | 0.924168i | \(-0.624760\pi\) |
0.609360 | + | 0.792893i | \(0.291426\pi\) | |||||||
\(564\) | 5.34837 | − | 6.46721i | 0.225207 | − | 0.272319i | ||||
\(565\) | 0.890693 | − | 3.32411i | 0.0374717 | − | 0.139846i | ||||
\(566\) | 3.05488 | + | 4.75761i | 0.128406 | + | 0.199977i | ||||
\(567\) | −1.04756 | + | 1.04756i | −0.0439935 | + | 0.0439935i | ||||
\(568\) | 10.6308 | + | 1.28384i | 0.446058 | + | 0.0538687i | ||||
\(569\) | −1.68213 | − | 0.971181i | −0.0705187 | − | 0.0407140i | 0.464326 | − | 0.885664i | \(-0.346297\pi\) |
−0.534845 | + | 0.844950i | \(0.679630\pi\) | |||||||
\(570\) | −5.84468 | − | 3.01607i | −0.244807 | − | 0.126329i | ||||
\(571\) | 31.5350i | 1.31970i | 0.751398 | + | 0.659850i | \(0.229380\pi\) | ||||
−0.751398 | + | 0.659850i | \(0.770620\pi\) | |||||||
\(572\) | −4.35137 | + | 9.75913i | −0.181940 | + | 0.408050i | ||||
\(573\) | 26.0525i | 1.08836i | ||||||||
\(574\) | 1.86744 | − | 3.61883i | 0.0779456 | − | 0.151047i | ||||
\(575\) | −13.0902 | − | 7.55764i | −0.545900 | − | 0.315175i | ||||
\(576\) | 5.77678 | + | 5.53433i | 0.240699 | + | 0.230597i | ||||
\(577\) | 17.6927 | − | 17.6927i | 0.736558 | − | 0.736558i | −0.235352 | − | 0.971910i | \(-0.575624\pi\) |
0.971910 | + | 0.235352i | \(0.0756242\pi\) | |||||||
\(578\) | 18.3519 | − | 11.7838i | 0.763338 | − | 0.490142i | ||||
\(579\) | −3.88969 | + | 14.5165i | −0.161650 | + | 0.603287i | ||||
\(580\) | 6.39488 | − | 7.73263i | 0.265533 | − | 0.321080i | ||||
\(581\) | −5.26050 | + | 3.03715i | −0.218242 | + | 0.126002i | ||||
\(582\) | −1.52628 | + | 0.487235i | −0.0632664 | + | 0.0201965i | ||||
\(583\) | 0.196861 | + | 0.734696i | 0.00815316 | + | 0.0304280i | ||||
\(584\) | −10.6147 | + | 14.1446i | −0.439240 | + | 0.585310i | ||||
\(585\) | 2.61600 | − | 0.0255573i | 0.108158 | − | 0.00105667i | ||||
\(586\) | −21.9977 | − | 20.0131i | −0.908716 | − | 0.826733i | ||||
\(587\) | 7.64218 | + | 28.5210i | 0.315427 | + | 1.17719i | 0.923592 | + | 0.383377i | \(0.125239\pi\) |
−0.608165 | + | 0.793810i | \(0.708094\pi\) | |||||||
\(588\) | −8.73882 | − | 3.99923i | −0.360383 | − | 0.164925i | ||||
\(589\) | −7.47818 | − | 12.9526i | −0.308133 | − | 0.533702i | ||||
\(590\) | 14.2875 | − | 0.674944i | 0.588207 | − | 0.0277870i | ||||
\(591\) | 5.16566 | − | 19.2785i | 0.212487 | − | 0.793012i | ||||
\(592\) | −14.5643 | − | 1.06479i | −0.598591 | − | 0.0437624i | ||||
\(593\) | −20.5469 | − | 20.5469i | −0.843759 | − | 0.843759i | 0.145586 | − | 0.989346i | \(-0.453493\pi\) |
−0.989346 | + | 0.145586i | \(0.953493\pi\) | |||||||
\(594\) | 2.04749 | + | 0.446251i | 0.0840095 | + | 0.0183099i | ||||
\(595\) | 1.16957 | + | 0.675250i | 0.0479476 | + | 0.0276825i | ||||
\(596\) | 14.5858 | − | 5.42709i | 0.597456 | − | 0.222302i | ||||
\(597\) | −11.2600 | −0.460839 | ||||||||
\(598\) | −12.8565 | − | 11.4690i | −0.525741 | − | 0.469004i | ||||
\(599\) | − | 28.2451i | − | 1.15407i | −0.816721 | − | 0.577033i | \(-0.804211\pi\) | ||
0.816721 | − | 0.577033i | \(-0.195789\pi\) | |||||||
\(600\) | −4.71658 | + | 11.7411i | −0.192553 | + | 0.479329i | ||||
\(601\) | −2.74994 | + | 4.76304i | −0.112172 | + | 0.194288i | −0.916646 | − | 0.399700i | \(-0.869114\pi\) |
0.804473 | + | 0.593989i | \(0.202448\pi\) | |||||||
\(602\) | −18.7496 | − | 4.08648i | −0.764177 | − | 0.166553i | ||||
\(603\) | 5.14108 | − | 5.14108i | 0.209361 | − | 0.209361i | ||||
\(604\) | 19.4126 | + | 3.28016i | 0.789889 | + | 0.133468i | ||||
\(605\) | −6.17059 | − | 1.65341i | −0.250870 | − | 0.0672205i | ||||
\(606\) | −0.764394 | − | 16.1810i | −0.0310514 | − | 0.657309i | ||||
\(607\) | −1.25794 | + | 0.726274i | −0.0510584 | + | 0.0294786i | −0.525312 | − | 0.850910i | \(-0.676051\pi\) |
0.474254 | + | 0.880388i | \(0.342718\pi\) | |||||||
\(608\) | 31.8569 | − | 17.3136i | 1.29197 | − | 0.702161i | ||||
\(609\) | −9.89488 | + | 2.65132i | −0.400961 | + | 0.107437i | ||||
\(610\) | 10.7158 | + | 9.74908i | 0.433872 | + | 0.394729i | ||||
\(611\) | 13.1757 | + | 7.43632i | 0.533031 | + | 0.300841i | ||||
\(612\) | −0.236873 | − | 2.50152i | −0.00957503 | − | 0.101118i | ||||
\(613\) | 30.9474 | − | 8.29232i | 1.24995 | − | 0.334924i | 0.427634 | − | 0.903952i | \(-0.359347\pi\) |
0.822318 | + | 0.569028i | \(0.192681\pi\) | |||||||
\(614\) | 1.05363 | + | 3.30053i | 0.0425210 | + | 0.133199i | ||||
\(615\) | 0.705151 | + | 1.22136i | 0.0284344 | + | 0.0492499i | ||||
\(616\) | −0.876356 | − | 6.14687i | −0.0353094 | − | 0.247665i | ||||
\(617\) | −4.26824 | − | 1.14367i | −0.171833 | − | 0.0460425i | 0.171877 | − | 0.985118i | \(-0.445017\pi\) |
−0.343710 | + | 0.939076i | \(0.611684\pi\) | |||||||
\(618\) | 2.96196 | − | 1.90188i | 0.119147 | − | 0.0765049i | ||||
\(619\) | −8.69550 | − | 8.69550i | −0.349502 | − | 0.349502i | 0.510422 | − | 0.859924i | \(-0.329489\pi\) |
−0.859924 | + | 0.510422i | \(0.829489\pi\) | |||||||
\(620\) | 2.75990 | − | 1.96203i | 0.110840 | − | 0.0787970i | ||||
\(621\) | −1.68941 | + | 2.92615i | −0.0677938 | + | 0.117422i | ||||
\(622\) | 2.86614 | + | 1.47903i | 0.114922 | + | 0.0593038i | ||||
\(623\) | −3.14803 | −0.126123 | ||||||||
\(624\) | −7.98567 | + | 12.0095i | −0.319683 | + | 0.480766i | ||||
\(625\) | −17.3801 | −0.695204 | ||||||||
\(626\) | −40.5383 | − | 20.9192i | −1.62024 | − | 0.836099i | ||||
\(627\) | 4.74876 | − | 8.22509i | 0.189647 | − | 0.328479i | ||||
\(628\) | −17.3089 | + | 12.3050i | −0.690700 | + | 0.491024i | ||||
\(629\) | 3.24329 | + | 3.24329i | 0.129319 | + | 0.129319i | ||||
\(630\) | −1.27919 | + | 0.821370i | −0.0509640 | + | 0.0327241i | ||||
\(631\) | −9.04870 | − | 2.42459i | −0.360223 | − | 0.0965215i | 0.0741682 | − | 0.997246i | \(-0.476370\pi\) |
−0.434391 | + | 0.900724i | \(0.643037\pi\) | |||||||
\(632\) | −9.09761 | + | 1.29704i | −0.361884 | + | 0.0515935i | ||||
\(633\) | −0.571787 | − | 0.990365i | −0.0227265 | − | 0.0393635i | ||||
\(634\) | 10.9346 | + | 34.2531i | 0.434270 | + | 1.36037i | ||||
\(635\) | 13.1858 | − | 3.53312i | 0.523261 | − | 0.140207i | ||||
\(636\) | 0.0967794 | + | 1.02205i | 0.00383755 | + | 0.0405269i | ||||
\(637\) | 4.32047 | − | 16.7782i | 0.171183 | − | 0.664775i | ||||
\(638\) | 10.7181 | + | 9.75114i | 0.424334 | + | 0.386051i | ||||
\(639\) | 3.65686 | − | 0.979852i | 0.144663 | − | 0.0387623i | ||||
\(640\) | 4.58242 | + | 6.81100i | 0.181136 | + | 0.269228i | ||||
\(641\) | −31.6965 | + | 18.3000i | −1.25194 | + | 0.722805i | −0.971494 | − | 0.237066i | \(-0.923814\pi\) |
−0.280442 | + | 0.959871i | \(0.590481\pi\) | |||||||
\(642\) | −0.684706 | − | 14.4942i | −0.0270232 | − | 0.572039i | ||||
\(643\) | −13.8446 | − | 3.70965i | −0.545977 | − | 0.146294i | −0.0247210 | − | 0.999694i | \(-0.507870\pi\) |
−0.521256 | + | 0.853400i | \(0.674536\pi\) | |||||||
\(644\) | 9.87137 | + | 1.66797i | 0.388987 | + | 0.0657272i | ||||
\(645\) | 4.69929 | − | 4.69929i | 0.185034 | − | 0.185034i | ||||
\(646\) | −11.1270 | − | 2.42512i | −0.437784 | − | 0.0954152i | ||||
\(647\) | 16.5697 | − | 28.6996i | 0.651422 | − | 1.12830i | −0.331356 | − | 0.943506i | \(-0.607506\pi\) |
0.982778 | − | 0.184790i | \(-0.0591606\pi\) | |||||||
\(648\) | 2.62457 | + | 1.05433i | 0.103103 | + | 0.0414180i | ||||
\(649\) | 20.6549i | 0.810774i | ||||||||
\(650\) | −22.3338 | − | 4.63958i | −0.876003 | − | 0.181979i | ||||
\(651\) | −3.45696 | −0.135489 | ||||||||
\(652\) | 21.7259 | − | 8.08381i | 0.850853 | − | 0.316586i | ||||
\(653\) | −35.8657 | − | 20.7071i | −1.40353 | − | 0.810330i | −0.408780 | − | 0.912633i | \(-0.634046\pi\) |
−0.994753 | + | 0.102303i | \(0.967379\pi\) | |||||||
\(654\) | 14.0903 | + | 3.07099i | 0.550976 | + | 0.120085i | ||||
\(655\) | −0.718828 | − | 0.718828i | −0.0280869 | − | 0.0280869i | ||||
\(656\) | −7.75403 | − | 0.566890i | −0.302744 | − | 0.0221333i | ||||
\(657\) | −1.61825 | + | 6.03939i | −0.0631339 | + | 0.235619i | ||||
\(658\) | −8.78161 | + | 0.414845i | −0.342343 | + | 0.0161723i | ||||
\(659\) | 14.1419 | + | 24.4945i | 0.550889 | + | 0.954168i | 0.998211 | + | 0.0597950i | \(0.0190447\pi\) |
−0.447321 | + | 0.894373i | \(0.647622\pi\) | |||||||
\(660\) | 1.95528 | + | 0.894815i | 0.0761094 | + | 0.0348306i | ||||
\(661\) | −6.42654 | − | 23.9842i | −0.249963 | − | 0.932876i | −0.970823 | − | 0.239796i | \(-0.922920\pi\) |
0.720860 | − | 0.693081i | \(-0.243747\pi\) | |||||||
\(662\) | −30.4299 | − | 27.6846i | −1.18269 | − | 1.07599i | ||||
\(663\) | 4.36384 | − | 1.21510i | 0.169478 | − | 0.0471907i | ||||
\(664\) | 9.27567 | + | 6.96084i | 0.359966 | + | 0.270133i | ||||
\(665\) | 1.78322 | + | 6.65505i | 0.0691502 | + | 0.258072i | ||||
\(666\) | −4.91848 | + | 1.57013i | −0.190587 | + | 0.0608412i | ||||
\(667\) | −20.2334 | + | 11.6817i | −0.783440 | + | 0.452319i | ||||
\(668\) | −11.4673 | + | 13.8662i | −0.443684 | + | 0.536500i | ||||
\(669\) | −3.80017 | + | 14.1824i | −0.146923 | + | 0.548324i | ||||
\(670\) | 6.27781 | − | 4.03100i | 0.242533 | − | 0.155731i | ||||
\(671\) | −14.7927 | + | 14.7927i | −0.571064 | + | 0.571064i | ||||
\(672\) | 0.215976 | − | 8.37771i | 0.00833147 | − | 0.323177i | ||||
\(673\) | 19.3181 | + | 11.1533i | 0.744658 | + | 0.429929i | 0.823761 | − | 0.566938i | \(-0.191872\pi\) |
−0.0791022 | + | 0.996867i | \(0.525205\pi\) | |||||||
\(674\) | 9.03890 | − | 17.5160i | 0.348165 | − | 0.674693i | ||||
\(675\) | 4.47353i | 0.172186i | ||||||||
\(676\) | −23.8488 | − | 10.3555i | −0.917260 | − | 0.398288i | ||||
\(677\) | 7.36423i | 0.283030i | 0.989936 | + | 0.141515i | \(0.0451974\pi\) | ||||
−0.989936 | + | 0.141515i | \(0.954803\pi\) | |||||||
\(678\) | 5.96063 | + | 3.07590i | 0.228917 | + | 0.118129i | ||||
\(679\) | 1.45351 | + | 0.839184i | 0.0557805 | + | 0.0322049i | ||||
\(680\) | 0.309134 | − | 2.55977i | 0.0118547 | − | 0.0981627i | ||||
\(681\) | −6.33582 | + | 6.33582i | −0.242789 | + | 0.242789i | ||||
\(682\) | 2.64205 | + | 4.11468i | 0.101169 | + | 0.157559i | ||||
\(683\) | 1.34151 | − | 5.00660i | 0.0513316 | − | 0.191572i | −0.935499 | − | 0.353329i | \(-0.885049\pi\) |
0.986831 | + | 0.161757i | \(0.0517162\pi\) | |||||||
\(684\) | 8.16957 | − | 9.87858i | 0.312371 | − | 0.377717i | ||||
\(685\) | −10.5346 | + | 6.08214i | −0.402506 | + | 0.232387i | ||||
\(686\) | 7.52169 | + | 23.5620i | 0.287179 | + | 0.899600i | ||||
\(687\) | 0.599021 | + | 2.23558i | 0.0228541 | + | 0.0852926i | ||||
\(688\) | 6.87677 | + | 35.9858i | 0.262174 | + | 1.37195i | ||||
\(689\) | −1.78294 | + | 0.496455i | −0.0679245 | + | 0.0189134i | ||||
\(690\) | −2.33320 | + | 2.56457i | −0.0888235 | + | 0.0976316i | ||||
\(691\) | 6.75090 | + | 25.1947i | 0.256816 | + | 0.958451i | 0.967071 | + | 0.254506i | \(0.0819130\pi\) |
−0.710255 | + | 0.703945i | \(0.751420\pi\) | |||||||
\(692\) | 11.6076 | − | 25.3641i | 0.441256 | − | 0.964200i | ||||
\(693\) | −1.09761 | − | 1.90112i | −0.0416948 | − | 0.0722175i | ||||
\(694\) | 1.92860 | + | 40.8254i | 0.0732086 | + | 1.54971i | ||||
\(695\) | 2.84544 | − | 10.6193i | 0.107934 | − | 0.402814i | ||||
\(696\) | 12.0715 | + | 15.3877i | 0.457570 | + | 0.583268i | ||||
\(697\) | 1.72672 | + | 1.72672i | 0.0654044 | + | 0.0654044i | ||||
\(698\) | −5.91213 | + | 27.1260i | −0.223777 | + | 1.02674i | ||||
\(699\) | −13.1848 | − | 7.61226i | −0.498695 | − | 0.287922i | ||||
\(700\) | 12.4228 | − | 4.62229i | 0.469537 | − | 0.174706i | ||||
\(701\) | −2.13901 | −0.0807892 | −0.0403946 | − | 0.999184i | \(-0.512862\pi\) | ||||
−0.0403946 | + | 0.999184i | \(0.512862\pi\) | |||||||
\(702\) | −1.03712 | + | 4.99243i | −0.0391436 | + | 0.188427i | ||||
\(703\) | 23.3999i | 0.882545i | ||||||||
\(704\) | −10.1367 | + | 6.14576i | −0.382042 | + | 0.231627i | ||||
\(705\) | 1.52232 | − | 2.63673i | 0.0573339 | − | 0.0993052i | ||||
\(706\) | −5.62413 | + | 25.8047i | −0.211667 | + | 0.971171i | ||||
\(707\) | −11.9993 | + | 11.9993i | −0.451279 | + | 0.451279i | ||||
\(708\) | −4.64479 | + | 27.4888i | −0.174562 | + | 1.03309i | ||||
\(709\) | −31.8967 | − | 8.54671i | −1.19791 | − | 0.320978i | −0.395901 | − | 0.918293i | \(-0.629567\pi\) |
−0.802007 | + | 0.597315i | \(0.796234\pi\) | |||||||
\(710\) | 3.88045 | − | 0.183313i | 0.145631 | − | 0.00687962i | ||||
\(711\) | −2.81373 | + | 1.62451i | −0.105523 | + | 0.0609238i | ||||
\(712\) | 2.35937 | + | 5.52774i | 0.0884212 | + | 0.207161i | ||||
\(713\) | −7.61569 | + | 2.04062i | −0.285210 | + | 0.0764218i | ||||
\(714\) | −1.77136 | + | 1.94702i | −0.0662915 | + | 0.0728653i | ||||
\(715\) | −0.966691 | + | 3.75406i | −0.0361522 | + | 0.140394i | ||||
\(716\) | −1.74948 | − | 18.4755i | −0.0653810 | − | 0.690462i | ||||
\(717\) | −27.4926 | + | 7.36662i | −1.02673 | + | 0.275112i | ||||
\(718\) | −31.2167 | + | 9.96532i | −1.16500 | + | 0.371902i | ||||
\(719\) | 24.1212 | + | 41.7791i | 0.899568 | + | 1.55810i | 0.828047 | + | 0.560659i | \(0.189452\pi\) |
0.0715216 | + | 0.997439i | \(0.477215\pi\) | |||||||
\(720\) | 2.40099 | + | 1.63057i | 0.0894797 | + | 0.0607679i | ||||
\(721\) | −3.56176 | − | 0.954371i | −0.132647 | − | 0.0355426i | ||||
\(722\) | −16.8732 | − | 26.2780i | −0.627954 | − | 0.977964i | ||||
\(723\) | −2.64474 | − | 2.64474i | −0.0983590 | − | 0.0983590i | ||||
\(724\) | 24.0883 | + | 33.8839i | 0.895234 | + | 1.25928i | ||||
\(725\) | −15.4665 | + | 26.7888i | −0.574412 | + | 0.994910i | ||||
\(726\) | 5.70984 | − | 11.0648i | 0.211912 | − | 0.410654i | ||||
\(727\) | 35.9735 | 1.33418 | 0.667092 | − | 0.744976i | \(-0.267539\pi\) | ||||
0.667092 | + | 0.744976i | \(0.267539\pi\) | |||||||
\(728\) | 14.9354 | − | 2.27841i | 0.553541 | − | 0.0844436i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | −2.94214 | + | 5.70143i | −0.108894 | + | 0.211020i | ||||
\(731\) | 5.75364 | − | 9.96560i | 0.212806 | − | 0.368591i | ||||
\(732\) | −23.0135 | + | 16.3605i | −0.850603 | + | 0.604700i | ||||
\(733\) | 7.99326 | + | 7.99326i | 0.295238 | + | 0.295238i | 0.839145 | − | 0.543907i | \(-0.183056\pi\) |
−0.543907 | + | 0.839145i | \(0.683056\pi\) | |||||||
\(734\) | −22.4985 | − | 35.0387i | −0.830433 | − | 1.29330i | ||||
\(735\) | −3.36779 | − | 0.902396i | −0.124223 | − | 0.0332854i | ||||
\(736\) | −4.46951 | − | 18.5836i | −0.164748 | − | 0.685001i | ||||
\(737\) | 5.38670 | + | 9.33004i | 0.198422 | + | 0.343677i | ||||
\(738\) | −2.61859 | + | 0.835933i | −0.0963916 | + | 0.0307711i | ||||
\(739\) | 10.6104 | − | 2.84304i | 0.390308 | − | 0.104583i | −0.0583274 | − | 0.998298i | \(-0.518577\pi\) |
0.448636 | + | 0.893715i | \(0.351910\pi\) | |||||||
\(740\) | −5.27433 | + | 0.499435i | −0.193888 | + | 0.0183596i | ||||
\(741\) | 20.1257 | + | 11.3589i | 0.739335 | + | 0.417279i | ||||
\(742\) | 0.723726 | − | 0.795494i | 0.0265688 | − | 0.0292035i | ||||
\(743\) | 9.10445 | − | 2.43953i | 0.334010 | − | 0.0894977i | −0.0879163 | − | 0.996128i | \(-0.528021\pi\) |
0.421926 | + | 0.906630i | \(0.361354\pi\) | |||||||
\(744\) | 2.59091 | + | 6.07020i | 0.0949873 | + | 0.222544i | ||||
\(745\) | 4.88959 | − | 2.82301i | 0.179141 | − | 0.103427i | ||||
\(746\) | 33.7095 | − | 1.59244i | 1.23419 | − | 0.0583035i | ||||
\(747\) | 3.96046 | + | 1.06120i | 0.144906 | + | 0.0388274i | ||||
\(748\) | 3.67125 | + | 0.620332i | 0.134234 | + | 0.0226816i | ||||
\(749\) | −10.7484 | + | 10.7484i | −0.392736 | + | 0.392736i | ||||
\(750\) | −2.07011 | + | 9.49809i | −0.0755898 | + | 0.346821i | ||||
\(751\) | 11.9625 | − | 20.7197i | 0.436519 | − | 0.756073i | −0.560899 | − | 0.827884i | \(-0.689544\pi\) |
0.997418 | + | 0.0718109i | \(0.0228778\pi\) | |||||||
\(752\) | 7.31005 | + | 15.1090i | 0.266570 | + | 0.550970i | ||||
\(753\) | − | 22.4461i | − | 0.817982i | ||||||
\(754\) | −23.4711 | + | 26.3104i | −0.854767 | + | 0.958170i | ||||
\(755\) | 7.14257 | 0.259945 | ||||||||
\(756\) | −1.03325 | − | 2.77695i | −0.0375790 | − | 0.100997i | ||||
\(757\) | 4.03960 | + | 2.33226i | 0.146822 | + | 0.0847676i | 0.571611 | − | 0.820525i | \(-0.306319\pi\) |
−0.424789 | + | 0.905292i | \(0.639652\pi\) | |||||||
\(758\) | 3.77069 | − | 17.3007i | 0.136958 | − | 0.628390i | ||||
\(759\) | −3.54026 | − | 3.54026i | −0.128503 | − | 0.128503i | ||||
\(760\) | 10.3494 | − | 8.11902i | 0.375411 | − | 0.294508i | ||||
\(761\) | −5.39526 | + | 20.1354i | −0.195578 | + | 0.729907i | 0.796538 | + | 0.604588i | \(0.206662\pi\) |
−0.992116 | + | 0.125319i | \(0.960004\pi\) | |||||||
\(762\) | 1.25550 | + | 26.5770i | 0.0454820 | + | 0.962782i | ||||
\(763\) | −7.55350 | − | 13.0831i | −0.273455 | − | 0.473638i | ||||
\(764\) | −47.3792 | − | 21.6826i | −1.71412 | − | 0.784449i | ||||
\(765\) | −0.235937 | − | 0.880529i | −0.00853032 | − | 0.0318356i | ||||
\(766\) | 32.1535 | − | 35.3420i | 1.16175 | − | 1.27696i | ||||
\(767\) | −50.2562 | + | 0.490983i | −1.81464 | + | 0.0177284i | ||||
\(768\) | −14.8726 | + | 5.89965i | −0.536669 | + | 0.212885i | ||||
\(769\) | −10.2054 | − | 38.0871i | −0.368016 | − | 1.37346i | −0.863285 | − | 0.504716i | \(-0.831597\pi\) |
0.495269 | − | 0.868740i | \(-0.335070\pi\) | |||||||
\(770\) | −0.685034 | − | 2.14589i | −0.0246869 | − | 0.0773326i | ||||
\(771\) | 25.8091 | − | 14.9009i | 0.929494 | − | 0.536643i | ||||
\(772\) | −23.1626 | − | 19.1555i | −0.833641 | − | 0.689420i | ||||
\(773\) | −12.6898 | + | 47.3590i | −0.456421 | + | 1.70339i | 0.227456 | + | 0.973788i | \(0.426959\pi\) |
−0.683877 | + | 0.729597i | \(0.739707\pi\) | |||||||
\(774\) | 6.99869 | + | 10.8996i | 0.251563 | + | 0.391779i | ||||
\(775\) | −7.38134 | + | 7.38134i | −0.265146 | + | 0.265146i | ||||
\(776\) | 0.384184 | − | 3.18122i | 0.0137914 | − | 0.114199i | ||||
\(777\) | 4.68397 | + | 2.70429i | 0.168036 | + | 0.0970158i | ||||
\(778\) | −37.1303 | − | 19.1606i | −1.33119 | − | 0.686940i | ||||
\(779\) | 12.4581i | 0.446357i | ||||||||
\(780\) | −2.13073 | + | 4.77875i | −0.0762924 | + | 0.171107i | ||||
\(781\) | 5.60981i | 0.200735i | ||||||||
\(782\) | −2.75300 | + | 5.33490i | −0.0984471 | + | 0.190776i | ||||
\(783\) | 5.98829 | + | 3.45734i | 0.214004 | + | 0.123555i | ||||
\(784\) | 14.5461 | − | 12.5641i | 0.519502 | − | 0.448717i | ||||
\(785\) | −5.44798 | + | 5.44798i | −0.194447 | + | 0.194447i | ||||
\(786\) | 1.66727 | − | 1.07056i | 0.0594694 | − | 0.0381855i | ||||
\(787\) | 4.46886 | − | 16.6780i | 0.159298 | − | 0.594507i | −0.839401 | − | 0.543512i | \(-0.817094\pi\) |
0.998699 | − | 0.0509947i | \(-0.0162392\pi\) | |||||||
\(788\) | 30.7608 | + | 25.4392i | 1.09581 | + | 0.906232i | ||||
\(789\) | 2.11644 | − | 1.22193i | 0.0753474 | − | 0.0435019i | ||||
\(790\) | −3.17601 | + | 1.01388i | −0.112997 | + | 0.0360721i | ||||
\(791\) | −1.81859 | − | 6.78708i | −0.0646617 | − | 0.241321i | ||||
\(792\) | −2.51561 | + | 3.35218i | −0.0893883 | + | 0.119114i | ||||
\(793\) | −36.3442 | − | 35.6409i | −1.29062 | − | 1.26565i | ||||
\(794\) | 30.3783 | + | 27.6376i | 1.07809 | + | 0.980823i | ||||
\(795\) | 0.0963970 | + | 0.359758i | 0.00341885 | + | 0.0127593i | ||||
\(796\) | 9.37128 | − | 20.4774i | 0.332156 | − | 0.725803i | ||||
\(797\) | −7.88369 | − | 13.6550i | −0.279255 | − | 0.483683i | 0.691945 | − | 0.721950i | \(-0.256754\pi\) |
−0.971200 | + | 0.238267i | \(0.923421\pi\) | |||||||
\(798\) | −13.4138 | + | 0.633670i | −0.474843 | + | 0.0224317i | ||||
\(799\) | 1.36445 | − | 5.09220i | 0.0482708 | − | 0.180149i | ||||
\(800\) | −17.4270 | − | 18.3493i | −0.616138 | − | 0.648747i | ||||
\(801\) | 1.50255 | + | 1.50255i | 0.0530900 | + | 0.0530900i | ||||
\(802\) | 7.64102 | + | 1.66536i | 0.269814 | + | 0.0588060i | ||||
\(803\) | −8.02350 | − | 4.63237i | −0.283143 | − | 0.163473i | ||||
\(804\) | 5.07085 | + | 13.6283i | 0.178835 | + | 0.480635i | ||||
\(805\) | 3.63201 | 0.128012 | ||||||||
\(806\) | −9.94878 | + | 6.52628i | −0.350431 | + | 0.229878i | ||||
\(807\) | 26.5136i | 0.933322i | ||||||||
\(808\) | 30.0631 | + | 12.0768i | 1.05762 | + | 0.424860i | ||||
\(809\) | 16.1331 | − | 27.9433i | 0.567210 | − | 0.982436i | −0.429631 | − | 0.903005i | \(-0.641356\pi\) |
0.996840 | − | 0.0794311i | \(-0.0253104\pi\) | |||||||
\(810\) | 1.00259 | + | 0.218515i | 0.0352275 | + | 0.00767785i | ||||
\(811\) | −2.82597 | + | 2.82597i | −0.0992332 | + | 0.0992332i | −0.754980 | − | 0.655747i | \(-0.772354\pi\) |
0.655747 | + | 0.754980i | \(0.272354\pi\) | |||||||
\(812\) | 3.41346 | − | 20.2015i | 0.119789 | − | 0.708934i | ||||
\(813\) | −6.42004 | − | 1.72024i | −0.225161 | − | 0.0603316i | ||||
\(814\) | −0.361006 | − | 7.64194i | −0.0126533 | − | 0.267850i | ||||
\(815\) | 7.28319 | − | 4.20495i | 0.255119 | − | 0.147293i | ||||
\(816\) | 4.74643 | + | 1.65115i | 0.166158 | + | 0.0578020i | ||||
\(817\) | 56.7061 | − | 15.1944i | 1.98390 | − | 0.531583i | ||||
\(818\) | 19.3186 | + | 17.5757i | 0.675460 | + | 0.614521i | ||||
\(819\) | 4.59960 | − | 2.71583i | 0.160723 | − | 0.0948989i | ||||
\(820\) | −2.80804 | + | 0.265898i | −0.0980612 | + | 0.00928557i | ||||
\(821\) | 25.7200 | − | 6.89166i | 0.897635 | − | 0.240521i | 0.219635 | − | 0.975582i | \(-0.429513\pi\) |
0.678000 | + | 0.735062i | \(0.262847\pi\) | |||||||
\(822\) | −7.21018 | − | 22.5861i | −0.251484 | − | 0.787782i | ||||
\(823\) | −1.80298 | − | 3.12285i | −0.0628478 | − | 0.108856i | 0.832889 | − | 0.553439i | \(-0.186685\pi\) |
−0.895737 | + | 0.444584i | \(0.853352\pi\) | |||||||
\(824\) | 0.993639 | + | 6.96951i | 0.0346151 | + | 0.242794i | ||||
\(825\) | −6.40292 | − | 1.71566i | −0.222921 | − | 0.0597315i | ||||
\(826\) | 24.5745 | − | 15.7794i | 0.855057 | − | 0.549035i | ||||
\(827\) | 18.5758 | + | 18.5758i | 0.645943 | + | 0.645943i | 0.952010 | − | 0.306067i | \(-0.0990132\pi\) |
−0.306067 | + | 0.952010i | \(0.599013\pi\) | |||||||
\(828\) | −3.91547 | − | 5.50771i | −0.136072 | − | 0.191406i | ||||
\(829\) | 0.283646 | − | 0.491289i | 0.00985143 | − | 0.0170632i | −0.861058 | − | 0.508507i | \(-0.830197\pi\) |
0.870909 | + | 0.491444i | \(0.163531\pi\) | |||||||
\(830\) | 3.73884 | + | 1.92938i | 0.129777 | + | 0.0669696i | ||||
\(831\) | 1.75729 | 0.0609598 | ||||||||
\(832\) | −15.1944 | − | 24.5179i | −0.526772 | − | 0.850006i | ||||
\(833\) | −6.03708 | −0.209172 | ||||||||
\(834\) | 19.0421 | + | 9.82638i | 0.659372 | + | 0.340260i | ||||
\(835\) | −3.26397 | + | 5.65336i | −0.112954 | + | 0.195643i | ||||
\(836\) | 11.0060 | + | 15.4816i | 0.380650 | + | 0.535442i | ||||
\(837\) | 1.65000 | + | 1.65000i | 0.0570325 | + | 0.0570325i | ||||
\(838\) | −33.6572 | + | 21.6114i | −1.16267 | + | 0.746554i | ||||
\(839\) | 32.7243 | + | 8.76844i | 1.12977 | + | 0.302720i | 0.774830 | − | 0.632170i | \(-0.217836\pi\) |
0.354937 | + | 0.934890i | \(0.384502\pi\) | |||||||
\(840\) | −0.429125 | − | 3.00994i | −0.0148062 | − | 0.103853i | ||||
\(841\) | 9.40638 | + | 16.2923i | 0.324358 | + | 0.561805i | ||||
\(842\) | −11.9768 | − | 37.5177i | −0.412747 | − | 1.29294i | ||||
\(843\) | 23.7101 | − | 6.35310i | 0.816619 | − | 0.218812i | ||||
\(844\) | 2.27696 | − | 0.215609i | 0.0783764 | − | 0.00742158i | ||||
\(845\) | −9.15713 | − | 2.26286i | −0.315015 | − | 0.0778446i | ||||
\(846\) | 4.38946 | + | 3.99345i | 0.150913 | + | 0.137298i | ||||
\(847\) | −12.5990 | + | 3.37588i | −0.432905 | + | 0.115997i | ||||
\(848\) | −1.93925 | − | 0.674613i | −0.0665942 | − | 0.0231663i | ||||
\(849\) | −3.46233 | + | 1.99897i | −0.118827 | + | 0.0686046i | ||||
\(850\) | 0.375064 | + | 7.93952i | 0.0128646 | + | 0.272323i | ||||
\(851\) | 11.9151 | + | 3.19264i | 0.408445 | + | 0.109442i | ||||
\(852\) | −1.26151 | + | 7.46588i | −0.0432187 | + | 0.255777i | ||||
\(853\) | 15.4913 | − | 15.4913i | 0.530411 | − | 0.530411i | −0.390283 | − | 0.920695i | \(-0.627623\pi\) |
0.920695 | + | 0.390283i | \(0.127623\pi\) | |||||||
\(854\) | 28.9008 | + | 6.29893i | 0.988963 | + | 0.215545i | ||||
\(855\) | 2.32532 | − | 4.02758i | 0.0795244 | − | 0.137740i | ||||
\(856\) | 26.9290 | + | 10.8178i | 0.920416 | + | 0.369745i | ||||
\(857\) | − | 17.3171i | − | 0.591540i | −0.955259 | − | 0.295770i | \(-0.904424\pi\) | ||
0.955259 | − | 0.295770i | \(-0.0955762\pi\) | |||||||
\(858\) | −6.74787 | − | 3.39908i | −0.230369 | − | 0.116043i | ||||
\(859\) | −22.9629 | −0.783484 | −0.391742 | − | 0.920075i | \(-0.628127\pi\) | ||||
−0.391742 | + | 0.920075i | \(0.628127\pi\) | |||||||
\(860\) | 4.63510 | + | 12.4572i | 0.158056 | + | 0.424788i | ||||
\(861\) | 2.49374 | + | 1.43976i | 0.0849863 | + | 0.0490669i | ||||
\(862\) | −44.0391 | − | 9.59833i | −1.49998 | − | 0.326920i | ||||
\(863\) | −18.9344 | − | 18.9344i | −0.644536 | − | 0.644536i | 0.307131 | − | 0.951667i | \(-0.400631\pi\) |
−0.951667 | + | 0.307131i | \(0.900631\pi\) | |||||||
\(864\) | −4.10176 | + | 3.89559i | −0.139545 | + | 0.132531i | ||||
\(865\) | 2.61917 | − | 9.77489i | 0.0890546 | − | 0.332356i | ||||
\(866\) | −21.4827 | + | 1.01485i | −0.730013 | + | 0.0344859i | ||||
\(867\) | 7.71078 | + | 13.3555i | 0.261872 | + | 0.453576i | ||||
\(868\) | 2.87711 | − | 6.28686i | 0.0976556 | − | 0.213390i | ||||
\(869\) | −1.24604 | − | 4.65029i | −0.0422690 | − | 0.157750i | ||||
\(870\) | 5.24833 | + | 4.77484i | 0.177935 | + | 0.161882i | ||||
\(871\) | −22.5732 | + | 13.3284i | −0.764865 | + | 0.451615i | ||||
\(872\) | −17.3118 | + | 23.0689i | −0.586253 | + | 0.781212i | ||||
\(873\) | −0.293217 | − | 1.09430i | −0.00992388 | − | 0.0370364i | ||||
\(874\) | −29.1766 | + | 9.31404i | −0.986912 | + | 0.315052i | ||||
\(875\) | 8.81910 | − | 5.09171i | 0.298140 | − | 0.172131i | ||||
\(876\) | −9.63646 | − | 7.96934i | −0.325586 | − | 0.269259i | ||||
\(877\) | 11.6288 | − | 43.3992i | 0.392676 | − | 1.46549i | −0.433027 | − | 0.901381i | \(-0.642554\pi\) |
0.825703 | − | 0.564106i | \(-0.190779\pi\) | |||||||
\(878\) | −3.93017 | + | 2.52358i | −0.132637 | + | 0.0851666i | ||||
\(879\) | 14.8696 | − | 14.8696i | 0.501540 | − | 0.501540i | ||||
\(880\) | −3.25464 | + | 2.81117i | −0.109714 | + | 0.0947645i | ||||
\(881\) | 2.13057 | + | 1.23009i | 0.0717808 | + | 0.0414427i | 0.535461 | − | 0.844560i | \(-0.320138\pi\) |
−0.463680 | + | 0.886003i | \(0.653471\pi\) | |||||||
\(882\) | 3.11632 | − | 6.03896i | 0.104932 | − | 0.203342i | ||||
\(883\) | − | 39.7470i | − | 1.33759i | −0.743446 | − | 0.668796i | \(-0.766810\pi\) | ||
0.743446 | − | 0.668796i | \(-0.233190\pi\) | |||||||
\(884\) | −1.42209 | + | 8.94741i | −0.0478299 | + | 0.300934i | ||||
\(885\) | 10.1141i | 0.339980i | ||||||||
\(886\) | 15.2269 | + | 7.85763i | 0.511558 | + | 0.263982i | ||||
\(887\) | 17.1497 | + | 9.90141i | 0.575832 | + | 0.332457i | 0.759475 | − | 0.650536i | \(-0.225456\pi\) |
−0.183643 | + | 0.982993i | \(0.558789\pi\) | |||||||
\(888\) | 1.23804 | − | 10.2515i | 0.0415459 | − | 0.344019i | ||||
\(889\) | 19.7085 | − | 19.7085i | 0.661003 | − | 0.661003i | ||||
\(890\) | 1.17812 | + | 1.83478i | 0.0394905 | + | 0.0615019i | ||||
\(891\) | −0.383513 | + | 1.43129i | −0.0128482 | + | 0.0479500i | ||||
\(892\) | −22.6295 | − | 18.7146i | −0.757692 | − | 0.626610i | ||||
\(893\) | 23.2919 | − | 13.4476i | 0.779435 | − | 0.450007i | ||||
\(894\) | 3.34658 | + | 10.4833i | 0.111926 | + | 0.350614i | ||||
\(895\) | −1.74256 | − | 6.50333i | −0.0582474 | − | 0.217382i | ||||
\(896\) | 15.0560 | + | 7.36526i | 0.502986 | + | 0.246056i | ||||
\(897\) | 8.52978 | − | 8.69809i | 0.284801 | − | 0.290421i | ||||
\(898\) | −9.05616 | + | 9.95422i | −0.302208 | + | 0.332177i | ||||
\(899\) | 4.17607 | + | 15.5853i | 0.139280 | + | 0.519799i | ||||
\(900\) | −8.13559 | − | 3.72317i | −0.271186 | − | 0.124106i | ||||
\(901\) | 0.322450 | + | 0.558500i | 0.0107424 | + | 0.0186063i | ||||
\(902\) | −0.192199 | − | 4.06855i | −0.00639953 | − | 0.135468i | ||||
\(903\) | 3.51197 | − | 13.1069i | 0.116871 | − | 0.436169i | ||||
\(904\) | −10.5547 | + | 8.28008i | −0.351044 | + | 0.275391i | ||||
\(905\) | 10.6650 | + | 10.6650i | 0.354515 | + | 0.354515i | ||||
\(906\) | −2.96458 | + | 13.6021i | −0.0984914 | + | 0.451899i | ||||
\(907\) | −16.4874 | − | 9.51900i | −0.547455 | − | 0.316073i | 0.200640 | − | 0.979665i | \(-0.435698\pi\) |
−0.748095 | + | 0.663592i | \(0.769031\pi\) | |||||||
\(908\) | −6.24928 | − | 16.7955i | −0.207390 | − | 0.557377i | ||||
\(909\) | 11.4545 | 0.379921 | ||||||||
\(910\) | 5.20497 | − | 1.71779i | 0.172543 | − | 0.0569443i | ||||
\(911\) | 1.28948i | 0.0427225i | 0.999772 | + | 0.0213612i | \(0.00680001\pi\) | ||||
−0.999772 | + | 0.0213612i | \(0.993200\pi\) | |||||||
\(912\) | 11.1660 | + | 23.0789i | 0.369743 | + | 0.764217i | ||||
\(913\) | −3.03778 | + | 5.26159i | −0.100536 | + | 0.174133i | ||||
\(914\) | −3.65161 | + | 16.7543i | −0.120784 | + | 0.554184i | ||||
\(915\) | −7.24351 | + | 7.24351i | −0.239463 | + | 0.239463i | ||||
\(916\) | −4.56418 | − | 0.771212i | −0.150805 | − | 0.0254816i | ||||
\(917\) | −2.00489 | − | 0.537210i | −0.0662074 | − | 0.0177402i | ||||
\(918\) | 1.77478 | − | 0.0838407i | 0.0585764 | − | 0.00276716i | ||||
\(919\) | 23.2515 | − | 13.4243i | 0.766997 | − | 0.442826i | −0.0648055 | − | 0.997898i | \(-0.520643\pi\) |
0.831802 | + | 0.555072i | \(0.187309\pi\) | |||||||
\(920\) | −2.72211 | − | 6.37759i | −0.0897452 | − | 0.210263i | ||||
\(921\) | −2.36638 | + | 0.634071i | −0.0779750 | + | 0.0208933i | ||||
\(922\) | 23.0281 | − | 25.3116i | 0.758389 | − | 0.833595i | ||||
\(923\) | −13.6494 | + | 0.133350i | −0.449277 | + | 0.00438926i | ||||
\(924\) | 4.37089 | − | 0.413887i | 0.143792 | − | 0.0136159i | ||||
\(925\) | 15.7755 | − | 4.22703i | 0.518695 | − | 0.138984i | ||||
\(926\) | −24.3013 | + | 7.75770i | −0.798589 | + | 0.254934i | ||||
\(927\) | 1.24450 | + | 2.15555i | 0.0408749 | + | 0.0707974i | ||||
\(928\) | −38.0309 | + | 9.14672i | −1.24842 | + | 0.300256i | ||||
\(929\) | 37.8024 | + | 10.1291i | 1.24026 | + | 0.332326i | 0.818566 | − | 0.574413i | \(-0.194770\pi\) |
0.421692 | + | 0.906739i | \(0.361436\pi\) | |||||||
\(930\) | 1.29373 | + | 2.01483i | 0.0424231 | + | 0.0660690i | ||||
\(931\) | −21.7784 | − | 21.7784i | −0.713757 | − | 0.713757i | ||||
\(932\) | 24.8170 | − | 17.6426i | 0.812907 | − | 0.577902i | ||||
\(933\) | −1.14030 | + | 1.97506i | −0.0373318 | + | 0.0646606i | ||||
\(934\) | 11.7764 | − | 22.8209i | 0.385336 | − | 0.746724i | ||||
\(935\) | 1.35078 | 0.0441752 | ||||||||
\(936\) | −8.21611 | − | 6.04115i | −0.268552 | − | 0.197461i | ||||
\(937\) | 46.1571 | 1.50789 | 0.753943 | − | 0.656939i | \(-0.228149\pi\) | ||||
0.753943 | + | 0.656939i | \(0.228149\pi\) | |||||||
\(938\) | 6.98540 | − | 13.5367i | 0.228081 | − | 0.441988i | ||||
\(939\) | 16.1283 | − | 27.9350i | 0.526326 | − | 0.911623i | ||||
\(940\) | 3.52821 | + | 4.96297i | 0.115077 | + | 0.161874i | ||||
\(941\) | 35.7367 | + | 35.7367i | 1.16498 | + | 1.16498i | 0.983370 | + | 0.181611i | \(0.0581313\pi\) |
0.181611 | + | 0.983370i | \(0.441869\pi\) | |||||||
\(942\) | −8.11373 | − | 12.6362i | −0.264360 | − | 0.411709i | ||||
\(943\) | 6.34359 | + | 1.69976i | 0.206576 | + | 0.0553518i | ||||
\(944\) | −46.1256 | − | 31.3250i | −1.50126 | − | 1.01954i | ||||
\(945\) | −0.537467 | − | 0.930920i | −0.0174838 | − | 0.0302828i | ||||
\(946\) | −18.2846 | + | 5.83701i | −0.594485 | + | 0.189777i | ||||
\(947\) | 0.723796 | − | 0.193941i | 0.0235202 | − | 0.00630222i | −0.247040 | − | 0.969005i | \(-0.579458\pi\) |
0.270560 | + | 0.962703i | \(0.412791\pi\) | |||||||
\(948\) | −0.612569 | − | 6.46909i | −0.0198953 | − | 0.210106i | ||||
\(949\) | 11.0805 | − | 19.6324i | 0.359687 | − | 0.637295i | ||||
\(950\) | −27.2883 | + | 29.9943i | −0.885348 | + | 0.973143i | ||||
\(951\) | −24.5585 | + | 6.58043i | −0.796364 | + | 0.213385i | ||||
\(952\) | −2.06662 | − | 4.84184i | −0.0669794 | − | 0.156925i | ||||
\(953\) | −41.5062 | + | 23.9636i | −1.34452 | + | 0.776257i | −0.987467 | − | 0.157828i | \(-0.949551\pi\) |
−0.357050 | + | 0.934085i | \(0.616217\pi\) | |||||||
\(954\) | −0.725122 | + | 0.0342549i | −0.0234767 | + | 0.00110904i | ||||
\(955\) | −18.2591 | − | 4.89251i | −0.590851 | − | 0.158318i | ||||
\(956\) | 9.48418 | − | 56.1293i | 0.306740 | − | 1.81535i | ||||
\(957\) | −7.24504 | + | 7.24504i | −0.234199 | + | 0.234199i | ||||
\(958\) | 4.93656 | − | 22.6499i | 0.159493 | − | 0.731786i | ||||
\(959\) | −12.4184 | + | 21.5092i | −0.401010 | + | 0.694569i | ||||
\(960\) | −4.96364 | + | 3.00939i | −0.160201 | + | 0.0971276i | ||||
\(961\) | − | 25.5550i | − | 0.824354i | ||||||
\(962\) | 18.5853 | − | 1.06003i | 0.599215 | − | 0.0341769i | ||||
\(963\) | 10.2604 | 0.330635 | ||||||||
\(964\) | 7.01088 | − | 2.60862i | 0.225805 | − | 0.0840179i | ||||
\(965\) | −9.44359 | − | 5.45226i | −0.304000 | − | 0.175514i | ||||
\(966\) | −1.50749 | + | 6.91668i | −0.0485028 | + | 0.222541i | ||||
\(967\) | 8.44481 | + | 8.44481i | 0.271567 | + | 0.271567i | 0.829731 | − | 0.558164i | \(-0.188494\pi\) |
−0.558164 | + | 0.829731i | \(0.688494\pi\) | |||||||
\(968\) | 15.3704 | + | 19.5928i | 0.494025 | + | 0.629737i | ||||
\(969\) | 2.08418 | − | 7.77826i | 0.0669535 | − | 0.249874i | ||||
\(970\) | −0.0548557 | − | 1.16121i | −0.00176131 | − | 0.0372842i | ||||
\(971\) | 24.1539 | + | 41.8358i | 0.775136 | + | 1.34257i | 0.934718 | + | 0.355390i | \(0.115652\pi\) |
−0.159582 | + | 0.987185i | \(0.551015\pi\) | |||||||
\(972\) | −0.832266 | + | 1.81861i | −0.0266950 | + | 0.0583319i | ||||
\(973\) | −5.80974 | − | 21.6822i | −0.186252 | − | 0.695101i | ||||
\(974\) | 34.3409 | − | 37.7463i | 1.10035 | − | 1.20947i | ||||
\(975\) | 4.02223 | − | 15.6200i | 0.128814 | − | 0.500240i | ||||
\(976\) | −10.5999 | − | 55.4688i | −0.339295 | − | 1.77551i | ||||
\(977\) | 8.21436 | + | 30.6564i | 0.262801 | + | 0.980786i | 0.963583 | + | 0.267410i | \(0.0861679\pi\) |
−0.700782 | + | 0.713376i | \(0.747165\pi\) | |||||||
\(978\) | 4.98483 | + | 15.6152i | 0.159397 | + | 0.499318i | ||||
\(979\) | −2.72683 | + | 1.57434i | −0.0871500 | + | 0.0503161i | ||||
\(980\) | 4.44400 | − | 5.37365i | 0.141958 | − | 0.171655i | ||||
\(981\) | −2.63925 | + | 9.84980i | −0.0842647 | + | 0.314480i | ||||
\(982\) | 11.4565 | + | 17.8422i | 0.365593 | + | 0.569368i | ||||
\(983\) | 18.1345 | − | 18.1345i | 0.578400 | − | 0.578400i | −0.356062 | − | 0.934462i | \(-0.615881\pi\) |
0.934462 | + | 0.356062i | \(0.115881\pi\) | |||||||
\(984\) | 0.659131 | − | 5.45791i | 0.0210123 | − | 0.173992i | ||||
\(985\) | 12.5414 | + | 7.24080i | 0.399603 | + | 0.230711i | ||||
\(986\) | 10.9177 | + | 5.63394i | 0.347692 | + | 0.179421i | ||||
\(987\) | − | 6.21646i | − | 0.197872i | ||||||
\(988\) | −37.4073 | + | 27.1471i | −1.19008 | + | 0.863664i | ||||
\(989\) | − | 30.9475i | − | 0.984074i | ||||||
\(990\) | −0.697266 | + | 1.35120i | −0.0221606 | + | 0.0429439i | ||||
\(991\) | 15.3411 | + | 8.85718i | 0.487326 | + | 0.281358i | 0.723464 | − | 0.690362i | \(-0.242549\pi\) |
−0.236139 | + | 0.971719i | \(0.575882\pi\) | |||||||
\(992\) | −13.1956 | − | 0.340182i | −0.418962 | − | 0.0108008i | ||||
\(993\) | 20.5695 | − | 20.5695i | 0.652753 | − | 0.652753i | ||||
\(994\) | 6.67438 | − | 4.28564i | 0.211698 | − | 0.135932i | ||||
\(995\) | 2.11456 | − | 7.89164i | 0.0670360 | − | 0.250182i | ||||
\(996\) | −5.22607 | + | 6.31932i | −0.165594 | + | 0.200235i | ||||
\(997\) | 4.27051 | − | 2.46558i | 0.135249 | − | 0.0780858i | −0.430849 | − | 0.902424i | \(-0.641786\pi\) |
0.566098 | + | 0.824338i | \(0.308453\pi\) | |||||||
\(998\) | 58.1407 | − | 18.5603i | 1.84041 | − | 0.587515i | ||||
\(999\) | −0.944898 | − | 3.52641i | −0.0298952 | − | 0.111571i |
(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 | 312.2.bt.d.19.3 | ✓ | 56 | |
3.2 | odd | 2 | 936.2.ed.e.19.12 | 56 | |||
8.3 | odd | 2 | inner | 312.2.bt.d.19.10 | yes | 56 | |
13.11 | odd | 12 | inner | 312.2.bt.d.115.10 | yes | 56 | |
24.11 | even | 2 | 936.2.ed.e.19.5 | 56 | |||
39.11 | even | 12 | 936.2.ed.e.739.5 | 56 | |||
104.11 | even | 12 | inner | 312.2.bt.d.115.3 | yes | 56 | |
312.11 | odd | 12 | 936.2.ed.e.739.12 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
312.2.bt.d.19.3 | ✓ | 56 | 1.1 | even | 1 | trivial | |
312.2.bt.d.19.10 | yes | 56 | 8.3 | odd | 2 | inner | |
312.2.bt.d.115.3 | yes | 56 | 104.11 | even | 12 | inner | |
312.2.bt.d.115.10 | yes | 56 | 13.11 | odd | 12 | inner | |
936.2.ed.e.19.5 | 56 | 24.11 | even | 2 | |||
936.2.ed.e.19.12 | 56 | 3.2 | odd | 2 | |||
936.2.ed.e.739.5 | 56 | 39.11 | even | 12 | |||
936.2.ed.e.739.12 | 56 | 312.11 | odd | 12 |