Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(22,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([14, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.22");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.v (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(54\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 22.9 | ||
Character | \(\chi\) | \(=\) | 189.22 |
Dual form | 189.2.v.a.43.9 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.00215 | − | 1.68000i | 1.41573 | − | 1.18794i | 0.462151 | − | 0.886801i | \(-0.347078\pi\) |
0.953580 | − | 0.301139i | \(-0.0973667\pi\) | |||||||
\(3\) | 1.58061 | + | 0.708280i | 0.912568 | + | 0.408925i | ||||
\(4\) | 0.838893 | − | 4.75760i | 0.419447 | − | 2.37880i | ||||
\(5\) | −3.29720 | + | 1.20008i | −1.47455 | + | 0.536693i | −0.949333 | − | 0.314273i | \(-0.898239\pi\) |
−0.525220 | + | 0.850966i | \(0.676017\pi\) | |||||||
\(6\) | 4.35453 | − | 1.23735i | 1.77773 | − | 0.505147i | ||||
\(7\) | 0.173648 | + | 0.984808i | 0.0656328 | + | 0.372222i | ||||
\(8\) | −3.69957 | − | 6.40784i | −1.30799 | − | 2.26551i | ||||
\(9\) | 1.99668 | + | 2.23903i | 0.665560 | + | 0.746344i | ||||
\(10\) | −4.58534 | + | 7.94204i | −1.45001 | + | 2.51149i | ||||
\(11\) | −0.308948 | − | 0.112448i | −0.0931514 | − | 0.0339044i | 0.295024 | − | 0.955490i | \(-0.404672\pi\) |
−0.388175 | + | 0.921585i | \(0.626895\pi\) | |||||||
\(12\) | 4.69568 | − | 6.92576i | 1.35553 | − | 1.99929i | ||||
\(13\) | −1.82041 | − | 1.52750i | −0.504890 | − | 0.423653i | 0.354437 | − | 0.935080i | \(-0.384673\pi\) |
−0.859327 | + | 0.511427i | \(0.829117\pi\) | |||||||
\(14\) | 2.00215 | + | 1.68000i | 0.535096 | + | 0.448999i | ||||
\(15\) | −6.06160 | − | 0.438472i | −1.56510 | − | 0.113213i | ||||
\(16\) | −9.09294 | − | 3.30956i | −2.27324 | − | 0.827390i | ||||
\(17\) | −1.28196 | + | 2.22042i | −0.310921 | + | 0.538531i | −0.978562 | − | 0.205952i | \(-0.933971\pi\) |
0.667641 | + | 0.744483i | \(0.267304\pi\) | |||||||
\(18\) | 7.75922 | + | 1.12845i | 1.82887 | + | 0.265978i | ||||
\(19\) | 2.50633 | + | 4.34109i | 0.574991 | + | 0.995914i | 0.996043 | + | 0.0888772i | \(0.0283279\pi\) |
−0.421051 | + | 0.907037i | \(0.638339\pi\) | |||||||
\(20\) | 2.94352 | + | 16.6935i | 0.658190 | + | 3.73278i | ||||
\(21\) | −0.423048 | + | 1.67959i | −0.0923167 | + | 0.366517i | ||||
\(22\) | −0.807473 | + | 0.293896i | −0.172154 | + | 0.0626588i | ||||
\(23\) | 0.785944 | − | 4.45731i | 0.163881 | − | 0.929414i | −0.786330 | − | 0.617806i | \(-0.788022\pi\) |
0.950211 | − | 0.311607i | \(-0.100867\pi\) | |||||||
\(24\) | −1.30905 | − | 12.7486i | −0.267208 | − | 2.60231i | ||||
\(25\) | 5.60111 | − | 4.69989i | 1.12022 | − | 0.939978i | ||||
\(26\) | −6.21093 | −1.21806 | ||||||||
\(27\) | 1.57012 | + | 4.95325i | 0.302170 | + | 0.953254i | ||||
\(28\) | 4.83099 | 0.912972 | ||||||||
\(29\) | −7.49985 | + | 6.29312i | −1.39269 | + | 1.16860i | −0.428448 | + | 0.903566i | \(0.640940\pi\) |
−0.964238 | + | 0.265036i | \(0.914616\pi\) | |||||||
\(30\) | −12.8728 | + | 9.30560i | −2.35025 | + | 1.69896i | ||||
\(31\) | 1.70905 | − | 9.69250i | 0.306954 | − | 1.74082i | −0.307207 | − | 0.951643i | \(-0.599394\pi\) |
0.614161 | − | 0.789181i | \(-0.289495\pi\) | |||||||
\(32\) | −9.85965 | + | 3.58862i | −1.74296 | + | 0.634384i | ||||
\(33\) | −0.408683 | − | 0.396559i | −0.0711427 | − | 0.0690320i | ||||
\(34\) | 1.16363 | + | 6.59930i | 0.199562 | + | 1.13177i | ||||
\(35\) | −1.75440 | − | 3.03872i | −0.296548 | − | 0.513637i | ||||
\(36\) | 12.3274 | − | 7.62110i | 2.05457 | − | 1.27018i | ||||
\(37\) | 1.70374 | − | 2.95097i | 0.280094 | − | 0.485137i | −0.691314 | − | 0.722555i | \(-0.742968\pi\) |
0.971408 | + | 0.237418i | \(0.0763011\pi\) | |||||||
\(38\) | 12.3111 | + | 4.48086i | 1.99712 | + | 0.726892i | ||||
\(39\) | −1.79546 | − | 3.70375i | −0.287504 | − | 0.593075i | ||||
\(40\) | 19.8881 | + | 16.6881i | 3.14459 | + | 2.63863i | ||||
\(41\) | −5.18169 | − | 4.34795i | −0.809244 | − | 0.679036i | 0.141183 | − | 0.989983i | \(-0.454909\pi\) |
−0.950427 | + | 0.310947i | \(0.899354\pi\) | |||||||
\(42\) | 1.97471 | + | 4.07351i | 0.304704 | + | 0.628556i | ||||
\(43\) | 0.843380 | + | 0.306965i | 0.128614 | + | 0.0468118i | 0.405525 | − | 0.914084i | \(-0.367089\pi\) |
−0.276911 | + | 0.960896i | \(0.589311\pi\) | |||||||
\(44\) | −0.794157 | + | 1.37552i | −0.119724 | + | 0.207368i | ||||
\(45\) | −9.27048 | − | 4.98636i | −1.38196 | − | 0.743323i | ||||
\(46\) | −5.91471 | − | 10.2446i | −0.872076 | − | 1.51048i | ||||
\(47\) | −0.875085 | − | 4.96285i | −0.127644 | − | 0.723907i | −0.979702 | − | 0.200459i | \(-0.935757\pi\) |
0.852058 | − | 0.523448i | \(-0.175354\pi\) | |||||||
\(48\) | −12.0283 | − | 11.6715i | −1.73614 | − | 1.68463i | ||||
\(49\) | −0.939693 | + | 0.342020i | −0.134242 | + | 0.0488600i | ||||
\(50\) | 3.31843 | − | 18.8197i | 0.469297 | − | 2.66151i | ||||
\(51\) | −3.59896 | + | 2.60164i | −0.503955 | + | 0.364303i | ||||
\(52\) | −8.79438 | + | 7.37936i | −1.21956 | + | 1.02333i | ||||
\(53\) | 6.97774 | 0.958466 | 0.479233 | − | 0.877688i | \(-0.340915\pi\) | ||||
0.479233 | + | 0.877688i | \(0.340915\pi\) | |||||||
\(54\) | 11.4651 | + | 7.27934i | 1.56020 | + | 0.990593i | ||||
\(55\) | 1.15361 | 0.155553 | ||||||||
\(56\) | 5.66806 | − | 4.75607i | 0.757427 | − | 0.635557i | ||||
\(57\) | 0.886834 | + | 8.63677i | 0.117464 | + | 1.14397i | ||||
\(58\) | −4.44335 | + | 25.1995i | −0.583441 | + | 3.30886i | ||||
\(59\) | 6.88347 | − | 2.50538i | 0.896151 | − | 0.326172i | 0.147442 | − | 0.989071i | \(-0.452896\pi\) |
0.748709 | + | 0.662899i | \(0.230674\pi\) | |||||||
\(60\) | −7.17111 | + | 28.4708i | −0.925786 | + | 3.67557i | ||||
\(61\) | 0.157688 | + | 0.894295i | 0.0201899 | + | 0.114503i | 0.993237 | − | 0.116103i | \(-0.0370403\pi\) |
−0.973047 | + | 0.230606i | \(0.925929\pi\) | |||||||
\(62\) | −12.8616 | − | 22.2770i | −1.63343 | − | 2.82918i | ||||
\(63\) | −1.85830 | + | 2.35515i | −0.234123 | + | 0.296721i | ||||
\(64\) | −4.03508 | + | 6.98896i | −0.504385 | + | 0.873620i | ||||
\(65\) | 7.83538 | + | 2.85185i | 0.971859 | + | 0.353728i | ||||
\(66\) | −1.48446 | − | 0.107380i | −0.182725 | − | 0.0132176i | ||||
\(67\) | 4.46899 | + | 3.74993i | 0.545974 | + | 0.458126i | 0.873575 | − | 0.486690i | \(-0.161796\pi\) |
−0.327601 | + | 0.944816i | \(0.606240\pi\) | |||||||
\(68\) | 9.48844 | + | 7.96175i | 1.15064 | + | 0.965504i | ||||
\(69\) | 4.39930 | − | 6.48862i | 0.529613 | − | 0.781138i | ||||
\(70\) | −8.61762 | − | 3.13656i | −1.03000 | − | 0.374890i | ||||
\(71\) | −5.46530 | + | 9.46618i | −0.648612 | + | 1.12343i | 0.334843 | + | 0.942274i | \(0.391317\pi\) |
−0.983455 | + | 0.181155i | \(0.942016\pi\) | |||||||
\(72\) | 6.96050 | − | 21.0778i | 0.820303 | − | 2.48405i | ||||
\(73\) | 2.95135 | + | 5.11188i | 0.345429 | + | 0.598301i | 0.985432 | − | 0.170072i | \(-0.0544001\pi\) |
−0.640003 | + | 0.768373i | \(0.721067\pi\) | |||||||
\(74\) | −1.54649 | − | 8.77057i | −0.179776 | − | 1.01956i | ||||
\(75\) | 12.1820 | − | 3.46156i | 1.40666 | − | 0.399707i | ||||
\(76\) | 22.7557 | − | 8.28240i | 2.61026 | − | 0.950056i | ||||
\(77\) | 0.0570914 | − | 0.323781i | 0.00650616 | − | 0.0368983i | ||||
\(78\) | −9.81708 | − | 4.39907i | −1.11157 | − | 0.498097i | ||||
\(79\) | −0.653105 | + | 0.548021i | −0.0734801 | + | 0.0616571i | −0.678788 | − | 0.734334i | \(-0.737494\pi\) |
0.605308 | + | 0.795991i | \(0.293050\pi\) | |||||||
\(80\) | 33.9530 | 3.79606 | ||||||||
\(81\) | −1.02654 | + | 8.94127i | −0.114060 | + | 0.993474i | ||||
\(82\) | −17.6791 | −1.95233 | ||||||||
\(83\) | −1.71116 | + | 1.43583i | −0.187824 | + | 0.157603i | −0.731851 | − | 0.681465i | \(-0.761343\pi\) |
0.544027 | + | 0.839068i | \(0.316899\pi\) | |||||||
\(84\) | 7.63593 | + | 3.42169i | 0.833149 | + | 0.373337i | ||||
\(85\) | 1.56219 | − | 8.85963i | 0.169443 | − | 0.960962i | ||||
\(86\) | 2.20427 | − | 0.802290i | 0.237693 | − | 0.0865131i | ||||
\(87\) | −16.3116 | + | 4.63500i | −1.74879 | + | 0.496924i | ||||
\(88\) | 0.422426 | + | 2.39570i | 0.0450308 | + | 0.255382i | ||||
\(89\) | 0.107492 | + | 0.186182i | 0.0113941 | + | 0.0197352i | 0.871666 | − | 0.490100i | \(-0.163040\pi\) |
−0.860272 | + | 0.509835i | \(0.829706\pi\) | |||||||
\(90\) | −26.9379 | + | 5.59099i | −2.83951 | + | 0.589342i | ||||
\(91\) | 1.18819 | − | 2.05800i | 0.124556 | − | 0.215737i | ||||
\(92\) | −20.5468 | − | 7.47842i | −2.14215 | − | 0.779679i | ||||
\(93\) | 9.56634 | − | 14.1096i | 0.991984 | − | 1.46310i | ||||
\(94\) | −10.0896 | − | 8.46622i | −1.04067 | − | 0.873224i | ||||
\(95\) | −13.4735 | − | 11.3056i | −1.38236 | − | 1.15993i | ||||
\(96\) | −18.1261 | − | 1.31117i | −1.84998 | − | 0.133820i | ||||
\(97\) | −2.73245 | − | 0.994531i | −0.277438 | − | 0.100979i | 0.199554 | − | 0.979887i | \(-0.436051\pi\) |
−0.476992 | + | 0.878908i | \(0.658273\pi\) | |||||||
\(98\) | −1.30681 | + | 2.26346i | −0.132008 | + | 0.228644i | ||||
\(99\) | −0.365096 | − | 0.916268i | −0.0366936 | − | 0.0920884i | ||||
\(100\) | −17.6615 | − | 30.5906i | −1.76615 | − | 3.05906i | ||||
\(101\) | −0.958894 | − | 5.43816i | −0.0954135 | − | 0.541117i | −0.994620 | − | 0.103592i | \(-0.966966\pi\) |
0.899206 | − | 0.437525i | \(-0.144145\pi\) | |||||||
\(102\) | −2.83489 | + | 11.2551i | −0.280696 | + | 1.11442i | ||||
\(103\) | −4.15162 | + | 1.51106i | −0.409071 | + | 0.148890i | −0.538355 | − | 0.842718i | \(-0.680954\pi\) |
0.129285 | + | 0.991608i | \(0.458732\pi\) | |||||||
\(104\) | −3.05327 | + | 17.3160i | −0.299398 | + | 1.69797i | ||||
\(105\) | −0.620774 | − | 6.04565i | −0.0605814 | − | 0.589995i | ||||
\(106\) | 13.9705 | − | 11.7226i | 1.35693 | − | 1.13860i | ||||
\(107\) | −13.6243 | −1.31711 | −0.658556 | − | 0.752532i | \(-0.728832\pi\) | ||||
−0.658556 | + | 0.752532i | \(0.728832\pi\) | |||||||
\(108\) | 24.8828 | − | 3.31475i | 2.39434 | − | 0.318962i | ||||
\(109\) | 11.0039 | 1.05398 | 0.526989 | − | 0.849872i | \(-0.323321\pi\) | ||||
0.526989 | + | 0.849872i | \(0.323321\pi\) | |||||||
\(110\) | 2.30970 | − | 1.93807i | 0.220221 | − | 0.184788i | ||||
\(111\) | 4.78307 | − | 3.45762i | 0.453989 | − | 0.328183i | ||||
\(112\) | 1.68031 | − | 9.52950i | 0.158774 | − | 0.900453i | ||||
\(113\) | −1.17069 | + | 0.426096i | −0.110129 | + | 0.0400837i | −0.396497 | − | 0.918036i | \(-0.629774\pi\) |
0.286368 | + | 0.958120i | \(0.407552\pi\) | |||||||
\(114\) | 16.2853 | + | 15.8022i | 1.52526 | + | 1.48001i | ||||
\(115\) | 2.75773 | + | 15.6398i | 0.257159 | + | 1.45842i | ||||
\(116\) | 23.6486 | + | 40.9605i | 2.19571 | + | 3.80309i | ||||
\(117\) | −0.214642 | − | 7.12589i | −0.0198436 | − | 0.658789i | ||||
\(118\) | 9.57267 | − | 16.5804i | 0.881236 | − | 1.52635i | ||||
\(119\) | −2.40930 | − | 0.876912i | −0.220860 | − | 0.0803864i | ||||
\(120\) | 19.6156 | + | 40.4639i | 1.79065 | + | 3.69383i | ||||
\(121\) | −8.34368 | − | 7.00118i | −0.758517 | − | 0.636471i | ||||
\(122\) | 1.81813 | + | 1.52559i | 0.164606 | + | 0.138121i | ||||
\(123\) | −5.11068 | − | 10.5425i | −0.460815 | − | 0.950587i | ||||
\(124\) | −44.6793 | − | 16.2619i | −4.01232 | − | 1.46037i | ||||
\(125\) | −4.05572 | + | 7.02470i | −0.362754 | + | 0.628309i | ||||
\(126\) | 0.236070 | + | 7.83730i | 0.0210308 | + | 0.698202i | ||||
\(127\) | 6.39662 | + | 11.0793i | 0.567608 | + | 0.983126i | 0.996802 | + | 0.0799139i | \(0.0254645\pi\) |
−0.429193 | + | 0.903213i | \(0.641202\pi\) | |||||||
\(128\) | 0.0186594 | + | 0.105822i | 0.00164927 | + | 0.00935347i | ||||
\(129\) | 1.11564 | + | 1.08254i | 0.0982267 | + | 0.0953125i | ||||
\(130\) | 20.4787 | − | 7.45363i | 1.79610 | − | 0.653727i | ||||
\(131\) | −1.25242 | + | 7.10283i | −0.109424 | + | 0.620577i | 0.879936 | + | 0.475092i | \(0.157585\pi\) |
−0.989360 | + | 0.145485i | \(0.953526\pi\) | |||||||
\(132\) | −2.22951 | + | 1.61168i | −0.194054 | + | 0.140279i | ||||
\(133\) | −3.83992 | + | 3.22207i | −0.332963 | + | 0.279389i | ||||
\(134\) | 15.2474 | 1.31718 | ||||||||
\(135\) | −11.1213 | − | 14.4476i | −0.957170 | − | 1.24345i | ||||
\(136\) | 18.9708 | 1.62673 | ||||||||
\(137\) | 7.02318 | − | 5.89315i | 0.600031 | − | 0.503486i | −0.291425 | − | 0.956594i | \(-0.594129\pi\) |
0.891456 | + | 0.453108i | \(0.149685\pi\) | |||||||
\(138\) | −2.09285 | − | 20.3820i | −0.178155 | − | 1.73503i | ||||
\(139\) | −3.10976 | + | 17.6363i | −0.263766 | + | 1.49589i | 0.508760 | + | 0.860909i | \(0.330104\pi\) |
−0.772526 | + | 0.634983i | \(0.781007\pi\) | |||||||
\(140\) | −15.9288 | + | 5.79759i | −1.34623 | + | 0.489986i | ||||
\(141\) | 2.13192 | − | 8.46416i | 0.179540 | − | 0.712811i | ||||
\(142\) | 4.96085 | + | 28.1344i | 0.416305 | + | 2.36099i | ||||
\(143\) | 0.390647 | + | 0.676621i | 0.0326676 | + | 0.0565819i | ||||
\(144\) | −10.7455 | − | 26.9675i | −0.895457 | − | 2.24729i | ||||
\(145\) | 17.1762 | − | 29.7501i | 1.42641 | − | 2.47061i | ||||
\(146\) | 14.4970 | + | 5.27647i | 1.19978 | + | 0.436684i | ||||
\(147\) | −1.72754 | − | 0.124963i | −0.142485 | − | 0.0103068i | ||||
\(148\) | −12.6103 | − | 10.5813i | −1.03656 | − | 0.869776i | ||||
\(149\) | 15.3512 | + | 12.8812i | 1.25762 | + | 1.05527i | 0.995931 | + | 0.0901176i | \(0.0287243\pi\) |
0.261690 | + | 0.965152i | \(0.415720\pi\) | |||||||
\(150\) | 18.5748 | − | 27.3964i | 1.51663 | − | 2.23690i | ||||
\(151\) | 0.536388 | + | 0.195229i | 0.0436506 | + | 0.0158875i | 0.363753 | − | 0.931495i | \(-0.381495\pi\) |
−0.320103 | + | 0.947383i | \(0.603717\pi\) | |||||||
\(152\) | 18.5447 | − | 32.1203i | 1.50417 | − | 2.60530i | ||||
\(153\) | −7.53126 | + | 1.56312i | −0.608866 | + | 0.126371i | ||||
\(154\) | −0.429647 | − | 0.744171i | −0.0346220 | − | 0.0599670i | ||||
\(155\) | 5.99672 | + | 34.0091i | 0.481668 | + | 2.73168i | ||||
\(156\) | −19.1272 | + | 5.43504i | −1.53140 | + | 0.435151i | ||||
\(157\) | −7.56674 | + | 2.75407i | −0.603891 | + | 0.219798i | −0.625828 | − | 0.779961i | \(-0.715239\pi\) |
0.0219369 | + | 0.999759i | \(0.493017\pi\) | |||||||
\(158\) | −0.386938 | + | 2.19444i | −0.0307831 | + | 0.174580i | ||||
\(159\) | 11.0291 | + | 4.94219i | 0.874665 | + | 0.391941i | ||||
\(160\) | 28.2026 | − | 23.6648i | 2.22961 | − | 1.87087i | ||||
\(161\) | 4.52607 | 0.356704 | ||||||||
\(162\) | 12.9661 | + | 19.6263i | 1.01871 | + | 1.54199i | ||||
\(163\) | −1.88855 | −0.147923 | −0.0739614 | − | 0.997261i | \(-0.523564\pi\) | ||||
−0.0739614 | + | 0.997261i | \(0.523564\pi\) | |||||||
\(164\) | −25.0327 | + | 21.0049i | −1.95473 | + | 1.64021i | ||||
\(165\) | 1.82341 | + | 0.817080i | 0.141953 | + | 0.0636096i | ||||
\(166\) | −1.01379 | + | 5.74949i | −0.0786854 | + | 0.446247i | ||||
\(167\) | −4.73464 | + | 1.72327i | −0.366378 | + | 0.133351i | −0.518647 | − | 0.854988i | \(-0.673564\pi\) |
0.152269 | + | 0.988339i | \(0.451342\pi\) | |||||||
\(168\) | 12.3276 | − | 3.50294i | 0.951099 | − | 0.270257i | ||||
\(169\) | −1.27681 | − | 7.24114i | −0.0982161 | − | 0.557011i | ||||
\(170\) | −11.7564 | − | 20.3628i | −0.901678 | − | 1.56175i | ||||
\(171\) | −4.71550 | + | 14.2795i | −0.360603 | + | 1.09198i | ||||
\(172\) | 2.16792 | − | 3.75495i | 0.165303 | − | 0.286313i | ||||
\(173\) | 16.2893 | + | 5.92883i | 1.23845 | + | 0.450760i | 0.876485 | − | 0.481430i | \(-0.159882\pi\) |
0.361969 | + | 0.932190i | \(0.382105\pi\) | |||||||
\(174\) | −24.8715 | + | 36.6835i | −1.88550 | + | 2.78097i | ||||
\(175\) | 5.60111 | + | 4.69989i | 0.423404 | + | 0.355278i | ||||
\(176\) | 2.43710 | + | 2.04497i | 0.183703 | + | 0.154145i | ||||
\(177\) | 12.6546 | + | 0.915385i | 0.951178 | + | 0.0688045i | ||||
\(178\) | 0.528001 | + | 0.192177i | 0.0395753 | + | 0.0144042i | ||||
\(179\) | 5.86658 | − | 10.1612i | 0.438489 | − | 0.759485i | −0.559084 | − | 0.829111i | \(-0.688847\pi\) |
0.997573 | + | 0.0696257i | \(0.0221805\pi\) | |||||||
\(180\) | −31.5000 | + | 39.9222i | −2.34787 | + | 2.97563i | ||||
\(181\) | −6.59159 | − | 11.4170i | −0.489949 | − | 0.848617i | 0.509984 | − | 0.860184i | \(-0.329651\pi\) |
−0.999933 | + | 0.0115671i | \(0.996318\pi\) | |||||||
\(182\) | −1.07852 | − | 6.11657i | −0.0799450 | − | 0.453390i | ||||
\(183\) | −0.384166 | + | 1.52522i | −0.0283984 | + | 0.112748i | ||||
\(184\) | −31.4694 | + | 11.4539i | −2.31995 | + | 0.844394i | ||||
\(185\) | −2.07618 | + | 11.7746i | −0.152644 | + | 0.865685i | ||||
\(186\) | −4.55093 | − | 44.3210i | −0.333690 | − | 3.24977i | ||||
\(187\) | 0.645741 | − | 0.541841i | 0.0472213 | − | 0.0396234i | ||||
\(188\) | −24.3454 | −1.77557 | ||||||||
\(189\) | −4.60535 | + | 2.40639i | −0.334990 | + | 0.175039i | ||||
\(190\) | −45.9695 | −3.33498 | ||||||||
\(191\) | −0.292258 | + | 0.245234i | −0.0211470 | + | 0.0177445i | −0.653300 | − | 0.757099i | \(-0.726616\pi\) |
0.632153 | + | 0.774844i | \(0.282171\pi\) | |||||||
\(192\) | −11.3280 | + | 8.18889i | −0.817531 | + | 0.590982i | ||||
\(193\) | −1.86312 | + | 10.5663i | −0.134110 | + | 0.760577i | 0.841365 | + | 0.540467i | \(0.181753\pi\) |
−0.975475 | + | 0.220110i | \(0.929359\pi\) | |||||||
\(194\) | −7.14158 | + | 2.59932i | −0.512736 | + | 0.186621i | ||||
\(195\) | 10.3648 | + | 10.0573i | 0.742239 | + | 0.720219i | ||||
\(196\) | 0.838893 | + | 4.75760i | 0.0599209 | + | 0.339829i | ||||
\(197\) | 0.207469 | + | 0.359346i | 0.0147815 | + | 0.0256024i | 0.873322 | − | 0.487144i | \(-0.161961\pi\) |
−0.858540 | + | 0.512747i | \(0.828628\pi\) | |||||||
\(198\) | −2.27031 | − | 1.22114i | −0.161344 | − | 0.0867827i | ||||
\(199\) | −9.85935 | + | 17.0769i | −0.698910 | + | 1.21055i | 0.269934 | + | 0.962879i | \(0.412998\pi\) |
−0.968845 | + | 0.247670i | \(0.920335\pi\) | |||||||
\(200\) | −50.8378 | − | 18.5035i | −3.59478 | − | 1.30839i | ||||
\(201\) | 4.40775 | + | 9.09248i | 0.310899 | + | 0.641334i | ||||
\(202\) | −11.0559 | − | 9.27704i | −0.777894 | − | 0.652730i | ||||
\(203\) | −7.49985 | − | 6.29312i | −0.526386 | − | 0.441690i | ||||
\(204\) | 9.35842 | + | 19.3049i | 0.655220 | + | 1.35161i | ||||
\(205\) | 22.3030 | + | 8.11762i | 1.55771 | + | 0.566959i | ||||
\(206\) | −5.77355 | + | 10.0001i | −0.402263 | + | 0.696739i | ||||
\(207\) | 11.5493 | − | 7.14007i | 0.802735 | − | 0.496269i | ||||
\(208\) | 11.4975 | + | 19.9143i | 0.797208 | + | 1.38080i | ||||
\(209\) | −0.286179 | − | 1.62300i | −0.0197954 | − | 0.112266i | ||||
\(210\) | −11.3996 | − | 11.0614i | −0.786645 | − | 0.763307i | ||||
\(211\) | −15.6464 | + | 5.69483i | −1.07714 | + | 0.392048i | −0.818844 | − | 0.574016i | \(-0.805385\pi\) |
−0.258300 | + | 0.966065i | \(0.583162\pi\) | |||||||
\(212\) | 5.85358 | − | 33.1973i | 0.402025 | − | 2.28000i | ||||
\(213\) | −15.3432 | + | 11.0914i | −1.05130 | + | 0.759971i | ||||
\(214\) | −27.2779 | + | 22.8888i | −1.86468 | + | 1.56465i | ||||
\(215\) | −3.14918 | −0.214772 | ||||||||
\(216\) | 25.9309 | − | 28.3860i | 1.76437 | − | 1.93142i | ||||
\(217\) | 9.84202 | 0.668120 | ||||||||
\(218\) | 22.0313 | − | 18.4865i | 1.49215 | − | 1.25206i | ||||
\(219\) | 1.04430 | + | 10.1703i | 0.0705671 | + | 0.687245i | ||||
\(220\) | 0.967757 | − | 5.48842i | 0.0652462 | − | 0.370029i | ||||
\(221\) | 5.72539 | − | 2.08387i | 0.385131 | − | 0.140176i | ||||
\(222\) | 3.76761 | − | 14.9582i | 0.252866 | − | 1.00393i | ||||
\(223\) | −1.64750 | − | 9.34342i | −0.110325 | − | 0.625682i | −0.988959 | − | 0.148187i | \(-0.952656\pi\) |
0.878635 | − | 0.477494i | \(-0.158455\pi\) | |||||||
\(224\) | −5.24621 | − | 9.08671i | −0.350527 | − | 0.607131i | ||||
\(225\) | 21.7068 | + | 3.15689i | 1.44712 | + | 0.210460i | ||||
\(226\) | −1.62805 | + | 2.81986i | −0.108296 | + | 0.187575i | ||||
\(227\) | 13.1661 | + | 4.79209i | 0.873868 | + | 0.318062i | 0.739732 | − | 0.672901i | \(-0.234952\pi\) |
0.134135 | + | 0.990963i | \(0.457174\pi\) | |||||||
\(228\) | 41.8342 | + | 3.02612i | 2.77054 | + | 0.200410i | ||||
\(229\) | −15.7576 | − | 13.2222i | −1.04129 | − | 0.873749i | −0.0491422 | − | 0.998792i | \(-0.515649\pi\) |
−0.992151 | + | 0.125043i | \(0.960093\pi\) | |||||||
\(230\) | 31.7963 | + | 26.6803i | 2.09659 | + | 1.75925i | ||||
\(231\) | 0.319567 | − | 0.471336i | 0.0210260 | − | 0.0310117i | ||||
\(232\) | 68.0714 | + | 24.7760i | 4.46911 | + | 1.62662i | ||||
\(233\) | 7.85140 | − | 13.5990i | 0.514362 | − | 0.890902i | −0.485499 | − | 0.874237i | \(-0.661362\pi\) |
0.999861 | − | 0.0166645i | \(-0.00530471\pi\) | |||||||
\(234\) | −12.4012 | − | 13.9065i | −0.810694 | − | 0.909095i | ||||
\(235\) | 8.84117 | + | 15.3133i | 0.576734 | + | 0.998933i | ||||
\(236\) | −6.14509 | − | 34.8505i | −0.400011 | − | 2.26858i | ||||
\(237\) | −1.42046 | + | 0.403628i | −0.0922687 | + | 0.0262184i | ||||
\(238\) | −6.29698 | + | 2.29191i | −0.408172 | + | 0.148563i | ||||
\(239\) | 4.90948 | − | 27.8431i | 0.317568 | − | 1.80102i | −0.239875 | − | 0.970804i | \(-0.577107\pi\) |
0.557444 | − | 0.830215i | \(-0.311782\pi\) | |||||||
\(240\) | 53.6666 | + | 24.0482i | 3.46416 | + | 1.55231i | ||||
\(241\) | 18.4147 | − | 15.4518i | 1.18620 | − | 0.995336i | 0.186278 | − | 0.982497i | \(-0.440357\pi\) |
0.999918 | − | 0.0128394i | \(-0.00408702\pi\) | |||||||
\(242\) | −28.4673 | −1.82995 | ||||||||
\(243\) | −7.95547 | + | 13.4056i | −0.510344 | + | 0.859970i | ||||
\(244\) | 4.38698 | 0.280848 | ||||||||
\(245\) | 2.68790 | − | 2.25542i | 0.171724 | − | 0.144093i | ||||
\(246\) | −27.9438 | − | 12.5217i | −1.78163 | − | 0.798356i | ||||
\(247\) | 2.06849 | − | 11.7310i | 0.131615 | − | 0.746424i | ||||
\(248\) | −68.4307 | + | 24.9067i | −4.34535 | + | 1.58158i | ||||
\(249\) | −3.72165 | + | 1.05752i | −0.235850 | + | 0.0670175i | ||||
\(250\) | 3.68137 | + | 20.8781i | 0.232830 | + | 1.32045i | ||||
\(251\) | 7.79191 | + | 13.4960i | 0.491821 | + | 0.851859i | 0.999956 | − | 0.00941867i | \(-0.00299810\pi\) |
−0.508135 | + | 0.861278i | \(0.669665\pi\) | |||||||
\(252\) | 9.64595 | + | 10.8168i | 0.607638 | + | 0.681391i | ||||
\(253\) | −0.744032 | + | 1.28870i | −0.0467769 | + | 0.0810199i | ||||
\(254\) | 31.4202 | + | 11.4360i | 1.97148 | + | 0.717559i | ||||
\(255\) | 8.74432 | − | 12.8972i | 0.547590 | − | 0.807653i | ||||
\(256\) | −12.1491 | − | 10.1943i | −0.759316 | − | 0.637142i | ||||
\(257\) | 5.73016 | + | 4.80817i | 0.357437 | + | 0.299925i | 0.803768 | − | 0.594942i | \(-0.202825\pi\) |
−0.446331 | + | 0.894868i | \(0.647270\pi\) | |||||||
\(258\) | 4.05235 | + | 0.293131i | 0.252288 | + | 0.0182495i | ||||
\(259\) | 3.20199 | + | 1.16543i | 0.198962 | + | 0.0724163i | ||||
\(260\) | 20.1410 | − | 34.8852i | 1.24909 | − | 2.16349i | ||||
\(261\) | −29.0653 | − | 4.22706i | −1.79910 | − | 0.261648i | ||||
\(262\) | 9.42523 | + | 16.3250i | 0.582292 | + | 1.00856i | ||||
\(263\) | 4.48609 | + | 25.4419i | 0.276624 | + | 1.56881i | 0.733755 | + | 0.679414i | \(0.237766\pi\) |
−0.457131 | + | 0.889399i | \(0.651123\pi\) | |||||||
\(264\) | −1.02913 | + | 4.08587i | −0.0633387 | + | 0.251468i | ||||
\(265\) | −23.0070 | + | 8.37387i | −1.41331 | + | 0.514403i | ||||
\(266\) | −2.27499 | + | 12.9021i | −0.139489 | + | 0.791080i | ||||
\(267\) | 0.0380348 | + | 0.370416i | 0.00232769 | + | 0.0226691i | ||||
\(268\) | 21.5896 | − | 18.1159i | 1.31880 | − | 1.10660i | ||||
\(269\) | 0.492770 | 0.0300447 | 0.0150223 | − | 0.999887i | \(-0.495218\pi\) | ||||
0.0150223 | + | 0.999887i | \(0.495218\pi\) | |||||||
\(270\) | −46.5385 | − | 10.2424i | −2.83224 | − | 0.623333i | ||||
\(271\) | −23.6945 | −1.43934 | −0.719669 | − | 0.694317i | \(-0.755707\pi\) | ||||
−0.719669 | + | 0.694317i | \(0.755707\pi\) | |||||||
\(272\) | 19.0054 | − | 15.9474i | 1.15237 | − | 0.966955i | ||||
\(273\) | 3.33570 | − | 2.41133i | 0.201886 | − | 0.145941i | ||||
\(274\) | 4.16095 | − | 23.5979i | 0.251372 | − | 1.42560i | ||||
\(275\) | −2.25895 | + | 0.822190i | −0.136220 | + | 0.0495799i | ||||
\(276\) | −27.1797 | − | 26.3733i | −1.63603 | − | 1.58749i | ||||
\(277\) | 2.12745 | + | 12.0654i | 0.127826 | + | 0.724938i | 0.979589 | + | 0.201011i | \(0.0644225\pi\) |
−0.851763 | + | 0.523927i | \(0.824466\pi\) | |||||||
\(278\) | 23.4028 | + | 40.5349i | 1.40361 | + | 2.43112i | ||||
\(279\) | 25.1142 | − | 15.5262i | 1.50355 | − | 0.929529i | ||||
\(280\) | −12.9811 | + | 22.4839i | −0.775767 | + | 1.34367i | ||||
\(281\) | −12.5499 | − | 4.56778i | −0.748662 | − | 0.272491i | −0.0606193 | − | 0.998161i | \(-0.519308\pi\) |
−0.688043 | + | 0.725670i | \(0.741530\pi\) | |||||||
\(282\) | −9.95138 | − | 20.5281i | −0.592596 | − | 1.22243i | ||||
\(283\) | −2.30721 | − | 1.93598i | −0.137150 | − | 0.115082i | 0.571632 | − | 0.820510i | \(-0.306310\pi\) |
−0.708782 | + | 0.705428i | \(0.750755\pi\) | |||||||
\(284\) | 40.4515 | + | 33.9428i | 2.40035 | + | 2.01414i | ||||
\(285\) | −13.2889 | − | 27.4129i | −0.787167 | − | 1.62380i | ||||
\(286\) | 1.91886 | + | 0.698407i | 0.113464 | + | 0.0412976i | ||||
\(287\) | 3.38211 | − | 5.85798i | 0.199639 | − | 0.345786i | ||||
\(288\) | −27.7216 | − | 14.9108i | −1.63351 | − | 0.878625i | ||||
\(289\) | 5.21316 | + | 9.02945i | 0.306656 | + | 0.531144i | ||||
\(290\) | −15.5909 | − | 88.4202i | −0.915527 | − | 5.19221i | ||||
\(291\) | −3.61455 | − | 3.50731i | −0.211888 | − | 0.205602i | ||||
\(292\) | 26.7962 | − | 9.75300i | 1.56813 | − | 0.570751i | ||||
\(293\) | −0.738094 | + | 4.18594i | −0.0431199 | + | 0.244545i | −0.998748 | − | 0.0500319i | \(-0.984068\pi\) |
0.955628 | + | 0.294577i | \(0.0951788\pi\) | |||||||
\(294\) | −3.66872 | + | 2.65207i | −0.213964 | + | 0.154672i | ||||
\(295\) | −19.6895 | + | 16.5215i | −1.14637 | + | 0.961917i | ||||
\(296\) | −25.2125 | −1.46544 | ||||||||
\(297\) | 0.0718977 | − | 1.70686i | 0.00417193 | − | 0.0990419i | ||||
\(298\) | 52.3758 | 3.03405 | ||||||||
\(299\) | −8.23930 | + | 6.91359i | −0.476491 | + | 0.399823i | ||||
\(300\) | −6.24929 | − | 60.8611i | −0.360803 | − | 3.51382i | ||||
\(301\) | −0.155850 | + | 0.883871i | −0.00898307 | + | 0.0509455i | ||||
\(302\) | 1.40191 | − | 0.510255i | 0.0806710 | − | 0.0293618i | ||||
\(303\) | 2.33609 | − | 9.27479i | 0.134205 | − | 0.532823i | ||||
\(304\) | −8.42281 | − | 47.7681i | −0.483081 | − | 2.73969i | ||||
\(305\) | −1.59316 | − | 2.75943i | −0.0912240 | − | 0.158005i | ||||
\(306\) | −12.4526 | + | 15.7821i | −0.711870 | + | 0.902203i | ||||
\(307\) | 12.1955 | − | 21.1232i | 0.696034 | − | 1.20557i | −0.273797 | − | 0.961787i | \(-0.588280\pi\) |
0.969831 | − | 0.243779i | \(-0.0783870\pi\) | |||||||
\(308\) | −1.49253 | − | 0.543236i | −0.0850446 | − | 0.0309537i | ||||
\(309\) | −7.63236 | − | 0.552095i | −0.434190 | − | 0.0314076i | ||||
\(310\) | 69.1416 | + | 58.0167i | 3.92698 | + | 3.29513i | ||||
\(311\) | −10.8993 | − | 9.14557i | −0.618041 | − | 0.518598i | 0.279146 | − | 0.960249i | \(-0.409949\pi\) |
−0.897187 | + | 0.441651i | \(0.854393\pi\) | |||||||
\(312\) | −17.0906 | + | 25.2073i | −0.967564 | + | 1.42708i | ||||
\(313\) | −7.28132 | − | 2.65018i | −0.411564 | − | 0.149797i | 0.127936 | − | 0.991782i | \(-0.459165\pi\) |
−0.539501 | + | 0.841985i | \(0.681387\pi\) | |||||||
\(314\) | −10.5229 | + | 18.2262i | −0.593841 | + | 1.02856i | ||||
\(315\) | 3.30080 | − | 9.99551i | 0.185979 | − | 0.563183i | ||||
\(316\) | 2.05938 | + | 3.56694i | 0.115849 | + | 0.200656i | ||||
\(317\) | 2.19724 | + | 12.4612i | 0.123409 | + | 0.699889i | 0.982240 | + | 0.187629i | \(0.0600804\pi\) |
−0.858830 | + | 0.512260i | \(0.828808\pi\) | |||||||
\(318\) | 30.3848 | − | 8.63392i | 1.70389 | − | 0.484166i | ||||
\(319\) | 3.02471 | − | 1.10091i | 0.169351 | − | 0.0616389i | ||||
\(320\) | 4.91713 | − | 27.8864i | 0.274876 | − | 1.55890i | ||||
\(321\) | −21.5348 | − | 9.64982i | −1.20195 | − | 0.538600i | ||||
\(322\) | 9.06186 | − | 7.60380i | 0.504998 | − | 0.423743i | ||||
\(323\) | −12.8521 | −0.715107 | ||||||||
\(324\) | 41.6778 | + | 12.3846i | 2.31543 | + | 0.688034i | ||||
\(325\) | −17.3754 | −0.963814 | ||||||||
\(326\) | −3.78116 | + | 3.17277i | −0.209419 | + | 0.175723i | ||||
\(327\) | 17.3928 | + | 7.79380i | 0.961826 | + | 0.430998i | ||||
\(328\) | −8.69097 | + | 49.2889i | −0.479879 | + | 2.72153i | ||||
\(329\) | 4.73550 | − | 1.72358i | 0.261077 | − | 0.0950241i | ||||
\(330\) | 5.02344 | − | 1.42742i | 0.276531 | − | 0.0785771i | ||||
\(331\) | 0.178113 | + | 1.01013i | 0.00979000 | + | 0.0555218i | 0.989311 | − | 0.145818i | \(-0.0465815\pi\) |
−0.979521 | + | 0.201340i | \(0.935470\pi\) | |||||||
\(332\) | 5.39564 | + | 9.34551i | 0.296124 | + | 0.512902i | ||||
\(333\) | 10.0092 | − | 2.07741i | 0.548498 | − | 0.113841i | ||||
\(334\) | −6.58436 | + | 11.4044i | −0.360280 | + | 0.624023i | ||||
\(335\) | −19.2354 | − | 7.00110i | −1.05094 | − | 0.382511i | ||||
\(336\) | 9.40547 | − | 13.8723i | 0.513110 | − | 0.756798i | ||||
\(337\) | 9.90301 | + | 8.30961i | 0.539451 | + | 0.452653i | 0.871350 | − | 0.490662i | \(-0.163245\pi\) |
−0.331899 | + | 0.943315i | \(0.607689\pi\) | |||||||
\(338\) | −14.7215 | − | 12.3528i | −0.800743 | − | 0.671903i | ||||
\(339\) | −2.15220 | − | 0.155682i | −0.116892 | − | 0.00845548i | ||||
\(340\) | −40.8401 | − | 14.8646i | −2.21486 | − | 0.806144i | ||||
\(341\) | −1.61791 | + | 2.80230i | −0.0876147 | + | 0.151753i | ||||
\(342\) | 14.5485 | + | 36.5117i | 0.786691 | + | 1.97433i | ||||
\(343\) | −0.500000 | − | 0.866025i | −0.0269975 | − | 0.0467610i | ||||
\(344\) | −1.15316 | − | 6.53988i | −0.0621741 | − | 0.352607i | ||||
\(345\) | −6.71848 | + | 26.6738i | −0.361711 | + | 1.43607i | ||||
\(346\) | 42.5740 | − | 15.4957i | 2.28879 | − | 0.833053i | ||||
\(347\) | 4.78492 | − | 27.1366i | 0.256868 | − | 1.45677i | −0.534364 | − | 0.845254i | \(-0.679449\pi\) |
0.791232 | − | 0.611516i | \(-0.209440\pi\) | |||||||
\(348\) | 8.36776 | + | 81.4926i | 0.448559 | + | 4.36846i | ||||
\(349\) | 17.0080 | − | 14.2714i | 0.910417 | − | 0.763931i | −0.0617812 | − | 0.998090i | \(-0.519678\pi\) |
0.972198 | + | 0.234159i | \(0.0752337\pi\) | |||||||
\(350\) | 19.1101 | 1.02148 | ||||||||
\(351\) | 4.70785 | − | 11.4153i | 0.251287 | − | 0.609304i | ||||
\(352\) | 3.44966 | 0.183867 | ||||||||
\(353\) | 10.6062 | − | 8.89963i | 0.564509 | − | 0.473680i | −0.315309 | − | 0.948989i | \(-0.602108\pi\) |
0.879819 | + | 0.475309i | \(0.157664\pi\) | |||||||
\(354\) | 26.8742 | − | 19.4270i | 1.42835 | − | 1.03253i | ||||
\(355\) | 6.66000 | − | 37.7707i | 0.353476 | − | 2.00466i | ||||
\(356\) | 0.975953 | − | 0.355218i | 0.0517254 | − | 0.0188265i | ||||
\(357\) | −3.18707 | − | 3.09252i | −0.168678 | − | 0.163673i | ||||
\(358\) | −5.32509 | − | 30.2001i | −0.281440 | − | 1.59613i | ||||
\(359\) | 1.18334 | + | 2.04960i | 0.0624543 | + | 0.108174i | 0.895562 | − | 0.444937i | \(-0.146774\pi\) |
−0.833108 | + | 0.553111i | \(0.813441\pi\) | |||||||
\(360\) | 2.34498 | + | 77.8511i | 0.123592 | + | 4.10311i | ||||
\(361\) | −3.06337 | + | 5.30590i | −0.161230 | + | 0.279258i | ||||
\(362\) | −32.3779 | − | 11.7846i | −1.70174 | − | 0.619383i | ||||
\(363\) | −8.22935 | − | 16.9758i | −0.431929 | − | 0.891000i | ||||
\(364\) | −8.79438 | − | 7.37936i | −0.460951 | − | 0.386783i | ||||
\(365\) | −15.8659 | − | 13.3130i | −0.830457 | − | 0.696837i | ||||
\(366\) | 1.79322 | + | 3.69912i | 0.0937329 | + | 0.193356i | ||||
\(367\) | −8.02424 | − | 2.92059i | −0.418862 | − | 0.152453i | 0.123986 | − | 0.992284i | \(-0.460432\pi\) |
−0.542849 | + | 0.839831i | \(0.682654\pi\) | |||||||
\(368\) | −21.8983 | + | 37.9289i | −1.14153 | + | 1.97718i | ||||
\(369\) | −0.610966 | − | 20.2834i | −0.0318056 | − | 1.05591i | ||||
\(370\) | 15.6245 | + | 27.0624i | 0.812279 | + | 1.40691i | ||||
\(371\) | 1.21167 | + | 6.87173i | 0.0629069 | + | 0.356763i | ||||
\(372\) | −59.1027 | − | 57.3493i | −3.06433 | − | 2.97342i | ||||
\(373\) | −34.0106 | + | 12.3788i | −1.76100 | + | 0.640951i | −0.999970 | − | 0.00776552i | \(-0.997528\pi\) |
−0.761030 | + | 0.648717i | \(0.775306\pi\) | |||||||
\(374\) | 0.382575 | − | 2.16969i | 0.0197825 | − | 0.112192i | ||||
\(375\) | −11.3860 | + | 8.23077i | −0.587969 | + | 0.425035i | ||||
\(376\) | −28.5637 | + | 23.9678i | −1.47306 | + | 1.23605i | ||||
\(377\) | 23.2655 | 1.19824 | ||||||||
\(378\) | −5.17786 | + | 12.5549i | −0.266320 | + | 0.645757i | ||||
\(379\) | −8.57465 | −0.440450 | −0.220225 | − | 0.975449i | \(-0.570679\pi\) | ||||
−0.220225 | + | 0.975449i | \(0.570679\pi\) | |||||||
\(380\) | −65.0906 | + | 54.6175i | −3.33908 | + | 2.80182i | ||||
\(381\) | 2.26337 | + | 22.0426i | 0.115956 | + | 1.12928i | ||||
\(382\) | −0.173151 | + | 0.981987i | −0.00885917 | + | 0.0502428i | ||||
\(383\) | −3.27371 | + | 1.19153i | −0.167279 | + | 0.0608844i | −0.424302 | − | 0.905521i | \(-0.639480\pi\) |
0.257023 | + | 0.966405i | \(0.417258\pi\) | |||||||
\(384\) | −0.0454586 | + | 0.180480i | −0.00231980 | + | 0.00921011i | ||||
\(385\) | 0.200323 | + | 1.13609i | 0.0102094 | + | 0.0579003i | ||||
\(386\) | 14.0211 | + | 24.2853i | 0.713656 | + | 1.23609i | ||||
\(387\) | 0.996655 | + | 2.50127i | 0.0506628 | + | 0.127147i | ||||
\(388\) | −7.02382 | + | 12.1656i | −0.356580 | + | 0.617615i | ||||
\(389\) | −17.9466 | − | 6.53202i | −0.909927 | − | 0.331186i | −0.155703 | − | 0.987804i | \(-0.549764\pi\) |
−0.754224 | + | 0.656617i | \(0.771987\pi\) | |||||||
\(390\) | 37.6481 | + | 2.72332i | 1.90639 | + | 0.137901i | ||||
\(391\) | 8.88955 | + | 7.45922i | 0.449564 | + | 0.377229i | ||||
\(392\) | 5.66806 | + | 4.75607i | 0.286280 | + | 0.240218i | ||||
\(393\) | −7.01038 | + | 10.3398i | −0.353627 | + | 0.521572i | ||||
\(394\) | 1.01908 | + | 0.370916i | 0.0513407 | + | 0.0186865i | ||||
\(395\) | 1.49575 | − | 2.59071i | 0.0752593 | − | 0.130353i | ||||
\(396\) | −4.66551 | + | 0.968331i | −0.234451 | + | 0.0486605i | ||||
\(397\) | 7.24191 | + | 12.5434i | 0.363461 | + | 0.629533i | 0.988528 | − | 0.151038i | \(-0.0482616\pi\) |
−0.625067 | + | 0.780571i | \(0.714928\pi\) | |||||||
\(398\) | 8.94932 | + | 50.7541i | 0.448589 | + | 2.54408i | ||||
\(399\) | −8.35156 | + | 2.37312i | −0.418101 | + | 0.118805i | ||||
\(400\) | −66.4852 | + | 24.1986i | −3.32426 | + | 1.20993i | ||||
\(401\) | 6.11108 | − | 34.6577i | 0.305173 | − | 1.73072i | −0.317517 | − | 0.948253i | \(-0.602849\pi\) |
0.622690 | − | 0.782469i | \(-0.286040\pi\) | |||||||
\(402\) | 24.1003 | + | 10.7995i | 1.20201 | + | 0.538628i | ||||
\(403\) | −17.9165 | + | 15.0337i | −0.892484 | + | 0.748883i | ||||
\(404\) | −26.6770 | −1.32723 | ||||||||
\(405\) | −7.34557 | − | 30.7131i | −0.365004 | − | 1.52615i | ||||
\(406\) | −25.5882 | −1.26992 | ||||||||
\(407\) | −0.858200 | + | 0.720115i | −0.0425394 | + | 0.0356948i | ||||
\(408\) | 29.9855 | + | 13.4366i | 1.48450 | + | 0.665212i | ||||
\(409\) | 0.541327 | − | 3.07002i | 0.0267669 | − | 0.151803i | −0.968495 | − | 0.249033i | \(-0.919887\pi\) |
0.995262 | + | 0.0972304i | \(0.0309984\pi\) | |||||||
\(410\) | 58.2914 | − | 21.2163i | 2.87881 | − | 1.04780i | ||||
\(411\) | 15.2749 | − | 4.34042i | 0.753457 | − | 0.214097i | ||||
\(412\) | 3.70628 | + | 21.0193i | 0.182595 | + | 1.03555i | ||||
\(413\) | 3.66262 | + | 6.34384i | 0.180226 | + | 0.312160i | ||||
\(414\) | 11.1282 | − | 33.6984i | 0.546919 | − | 1.65618i | ||||
\(415\) | 3.91891 | − | 6.78776i | 0.192372 | − | 0.333198i | ||||
\(416\) | 23.4302 | + | 8.52790i | 1.14876 | + | 0.418115i | ||||
\(417\) | −17.4068 | + | 25.6736i | −0.852413 | + | 1.25724i | ||||
\(418\) | −3.29962 | − | 2.76871i | −0.161390 | − | 0.135422i | ||||
\(419\) | −1.33321 | − | 1.11870i | −0.0651317 | − | 0.0546520i | 0.609641 | − | 0.792678i | \(-0.291314\pi\) |
−0.674772 | + | 0.738026i | \(0.735758\pi\) | |||||||
\(420\) | −29.2835 | − | 2.11826i | −1.42889 | − | 0.103360i | ||||
\(421\) | −32.8485 | − | 11.9559i | −1.60094 | − | 0.582694i | −0.621319 | − | 0.783558i | \(-0.713403\pi\) |
−0.979619 | + | 0.200864i | \(0.935625\pi\) | |||||||
\(422\) | −21.7591 | + | 37.6879i | −1.05922 | + | 1.83462i | ||||
\(423\) | 9.36473 | − | 11.8686i | 0.455329 | − | 0.577070i | ||||
\(424\) | −25.8146 | − | 44.7122i | −1.25367 | − | 2.17142i | ||||
\(425\) | 3.25533 | + | 18.4619i | 0.157907 | + | 0.895533i | ||||
\(426\) | −12.0858 | + | 47.9833i | −0.585560 | + | 2.32480i | ||||
\(427\) | −0.853326 | + | 0.310585i | −0.0412954 | + | 0.0150303i | ||||
\(428\) | −11.4293 | + | 64.8190i | −0.552458 | + | 3.13314i | ||||
\(429\) | 0.138226 | + | 1.34616i | 0.00667360 | + | 0.0649934i | ||||
\(430\) | −6.30512 | + | 5.29062i | −0.304060 | + | 0.255136i | ||||
\(431\) | −5.07549 | −0.244478 | −0.122239 | − | 0.992501i | \(-0.539007\pi\) | ||||
−0.122239 | + | 0.992501i | \(0.539007\pi\) | |||||||
\(432\) | 2.11609 | − | 50.2361i | 0.101810 | − | 2.41698i | ||||
\(433\) | −17.1982 | −0.826492 | −0.413246 | − | 0.910619i | \(-0.635605\pi\) | ||||
−0.413246 | + | 0.910619i | \(0.635605\pi\) | |||||||
\(434\) | 19.7052 | − | 16.5346i | 0.945878 | − | 0.793686i | ||||
\(435\) | 48.2204 | − | 34.8579i | 2.31199 | − | 1.67131i | ||||
\(436\) | 9.23106 | − | 52.3519i | 0.442087 | − | 2.50720i | ||||
\(437\) | 21.3194 | − | 7.75963i | 1.01985 | − | 0.371194i | ||||
\(438\) | 19.1769 | + | 18.6080i | 0.916309 | + | 0.889124i | ||||
\(439\) | −2.95767 | − | 16.7738i | −0.141162 | − | 0.800570i | −0.970369 | − | 0.241628i | \(-0.922319\pi\) |
0.829207 | − | 0.558942i | \(-0.188793\pi\) | |||||||
\(440\) | −4.26786 | − | 7.39216i | −0.203462 | − | 0.352407i | ||||
\(441\) | −2.64206 | − | 1.42110i | −0.125812 | − | 0.0676713i | ||||
\(442\) | 7.96216 | − | 13.7909i | 0.378721 | − | 0.655965i | ||||
\(443\) | −14.1938 | − | 5.16612i | −0.674367 | − | 0.245450i | −0.0179401 | − | 0.999839i | \(-0.505711\pi\) |
−0.656427 | + | 0.754389i | \(0.727933\pi\) | |||||||
\(444\) | −12.4375 | − | 25.6565i | −0.590257 | − | 1.21760i | ||||
\(445\) | −0.577857 | − | 0.484880i | −0.0273930 | − | 0.0229855i | ||||
\(446\) | −18.9955 | − | 15.9391i | −0.899462 | − | 0.754738i | ||||
\(447\) | 15.1409 | + | 31.2332i | 0.716138 | + | 1.47728i | ||||
\(448\) | −7.58347 | − | 2.76016i | −0.358285 | − | 0.130405i | ||||
\(449\) | −7.06546 | + | 12.2377i | −0.333440 | + | 0.577535i | −0.983184 | − | 0.182618i | \(-0.941543\pi\) |
0.649744 | + | 0.760153i | \(0.274876\pi\) | |||||||
\(450\) | 48.7639 | − | 30.1469i | 2.29875 | − | 1.42114i | ||||
\(451\) | 1.11196 | + | 1.92596i | 0.0523599 | + | 0.0906901i | ||||
\(452\) | 1.04511 | + | 5.92712i | 0.0491579 | + | 0.278788i | ||||
\(453\) | 0.709545 | + | 0.688495i | 0.0333374 | + | 0.0323483i | ||||
\(454\) | 34.4113 | − | 12.5247i | 1.61500 | − | 0.587812i | ||||
\(455\) | −1.44792 | + | 8.21156i | −0.0678795 | + | 0.384964i | ||||
\(456\) | 52.0621 | − | 37.6350i | 2.43803 | − | 1.76242i | ||||
\(457\) | 17.4919 | − | 14.6774i | 0.818237 | − | 0.686582i | −0.134322 | − | 0.990938i | \(-0.542886\pi\) |
0.952558 | + | 0.304356i | \(0.0984411\pi\) | |||||||
\(458\) | −53.7624 | −2.51215 | ||||||||
\(459\) | −13.0111 | − | 2.86355i | −0.607308 | − | 0.133659i | ||||
\(460\) | 76.7216 | 3.57716 | ||||||||
\(461\) | 20.5560 | − | 17.2485i | 0.957386 | − | 0.803342i | −0.0231398 | − | 0.999732i | \(-0.507366\pi\) |
0.980526 | + | 0.196390i | \(0.0629218\pi\) | |||||||
\(462\) | −0.152025 | − | 1.48056i | −0.00707286 | − | 0.0688817i | ||||
\(463\) | −4.18053 | + | 23.7090i | −0.194286 | + | 1.10185i | 0.719147 | + | 0.694858i | \(0.244533\pi\) |
−0.913432 | + | 0.406990i | \(0.866578\pi\) | |||||||
\(464\) | 89.0231 | − | 32.4018i | 4.13280 | − | 1.50421i | ||||
\(465\) | −14.6095 | + | 58.0026i | −0.677497 | + | 2.68981i | ||||
\(466\) | −7.12671 | − | 40.4176i | −0.330139 | − | 1.87231i | ||||
\(467\) | 0.873689 | + | 1.51327i | 0.0404295 | + | 0.0700259i | 0.885532 | − | 0.464578i | \(-0.153794\pi\) |
−0.845103 | + | 0.534604i | \(0.820461\pi\) | |||||||
\(468\) | −34.0822 | − | 4.95668i | −1.57545 | − | 0.229123i | ||||
\(469\) | −2.91692 | + | 5.05226i | −0.134691 | + | 0.233292i | ||||
\(470\) | 43.4277 | + | 15.8064i | 2.00317 | + | 0.729095i | ||||
\(471\) | −13.9107 | − | 1.00625i | −0.640973 | − | 0.0463655i | ||||
\(472\) | −41.5199 | − | 34.8393i | −1.91111 | − | 1.60361i | ||||
\(473\) | −0.226043 | − | 0.189673i | −0.0103935 | − | 0.00872117i | ||||
\(474\) | −2.16587 | + | 3.19449i | −0.0994818 | + | 0.146728i | ||||
\(475\) | 34.4409 | + | 12.5355i | 1.58026 | + | 0.575166i | ||||
\(476\) | −6.19314 | + | 10.7268i | −0.283862 | + | 0.491664i | ||||
\(477\) | 13.9323 | + | 15.6234i | 0.637917 | + | 0.715346i | ||||
\(478\) | −36.9469 | − | 63.9938i | −1.68991 | − | 2.92701i | ||||
\(479\) | 0.743652 | + | 4.21746i | 0.0339783 | + | 0.192701i | 0.997072 | − | 0.0764648i | \(-0.0243633\pi\) |
−0.963094 | + | 0.269165i | \(0.913252\pi\) | |||||||
\(480\) | 61.3387 | − | 17.4296i | 2.79972 | − | 0.795548i | ||||
\(481\) | −7.60913 | + | 2.76950i | −0.346946 | + | 0.126278i | ||||
\(482\) | 10.9100 | − | 61.8734i | 0.496935 | − | 2.81826i | ||||
\(483\) | 7.15397 | + | 3.20572i | 0.325517 | + | 0.145865i | ||||
\(484\) | −40.3083 | + | 33.8227i | −1.83219 | + | 1.53739i | ||||
\(485\) | 10.2030 | 0.463293 | ||||||||
\(486\) | 6.59342 | + | 40.2052i | 0.299083 | + | 1.82374i | ||||
\(487\) | −41.2245 | −1.86806 | −0.934030 | − | 0.357194i | \(-0.883733\pi\) | ||||
−0.934030 | + | 0.357194i | \(0.883733\pi\) | |||||||
\(488\) | 5.14712 | − | 4.31894i | 0.232999 | − | 0.195509i | ||||
\(489\) | −2.98507 | − | 1.33762i | −0.134990 | − | 0.0604894i | ||||
\(490\) | 1.59247 | − | 9.03136i | 0.0719405 | − | 0.407995i | ||||
\(491\) | 17.1068 | − | 6.22637i | 0.772020 | − | 0.280992i | 0.0741788 | − | 0.997245i | \(-0.476366\pi\) |
0.697841 | + | 0.716253i | \(0.254144\pi\) | |||||||
\(492\) | −54.4444 | + | 15.4705i | −2.45454 | + | 0.697466i | ||||
\(493\) | −4.35886 | − | 24.7203i | −0.196313 | − | 1.11335i | ||||
\(494\) | −15.5666 | − | 26.9622i | −0.700376 | − | 1.21309i | ||||
\(495\) | 2.30339 | + | 2.58297i | 0.103530 | + | 0.116096i | ||||
\(496\) | −47.6182 | + | 82.4771i | −2.13812 | + | 3.70333i | ||||
\(497\) | −10.2714 | − | 3.73849i | −0.460736 | − | 0.167694i | ||||
\(498\) | −5.67466 | + | 8.36968i | −0.254288 | + | 0.375054i | ||||
\(499\) | −7.49376 | − | 6.28801i | −0.335467 | − | 0.281490i | 0.459456 | − | 0.888200i | \(-0.348044\pi\) |
−0.794923 | + | 0.606710i | \(0.792489\pi\) | |||||||
\(500\) | 30.0184 | + | 25.1884i | 1.34246 | + | 1.12646i | ||||
\(501\) | −8.70420 | − | 0.629627i | −0.388875 | − | 0.0281297i | ||||
\(502\) | 38.2738 | + | 13.9305i | 1.70824 | + | 0.621750i | ||||
\(503\) | 17.9132 | − | 31.0265i | 0.798708 | − | 1.38340i | −0.121750 | − | 0.992561i | \(-0.538851\pi\) |
0.920458 | − | 0.390842i | \(-0.127816\pi\) | |||||||
\(504\) | 21.9663 | + | 3.19463i | 0.978457 | + | 0.142300i | ||||
\(505\) | 9.68790 | + | 16.7799i | 0.431106 | + | 0.746698i | ||||
\(506\) | 0.675357 | + | 3.83014i | 0.0300233 | + | 0.170271i | ||||
\(507\) | 3.11061 | − | 12.3498i | 0.138147 | − | 0.548473i | ||||
\(508\) | 58.0768 | − | 21.1382i | 2.57674 | − | 0.937858i | ||||
\(509\) | −6.48936 | + | 36.8030i | −0.287636 | + | 1.63126i | 0.408080 | + | 0.912946i | \(0.366199\pi\) |
−0.695716 | + | 0.718317i | \(0.744913\pi\) | |||||||
\(510\) | −4.15987 | − | 40.5125i | −0.184202 | − | 1.79392i | ||||
\(511\) | −4.52173 | + | 3.79418i | −0.200029 | + | 0.167845i | ||||
\(512\) | −41.6655 | −1.84137 | ||||||||
\(513\) | −17.5673 | + | 19.2305i | −0.775614 | + | 0.849048i | ||||
\(514\) | 19.5503 | 0.862329 | ||||||||
\(515\) | 11.8753 | − | 9.96457i | 0.523289 | − | 0.439091i | ||||
\(516\) | 6.08621 | − | 4.39964i | 0.267930 | − | 0.193683i | ||||
\(517\) | −0.287707 | + | 1.63167i | −0.0126533 | + | 0.0717606i | ||||
\(518\) | 8.36878 | − | 3.04599i | 0.367703 | − | 0.133833i | ||||
\(519\) | 21.5479 | + | 20.9086i | 0.945846 | + | 0.917784i | ||||
\(520\) | −10.7133 | − | 60.7584i | −0.469811 | − | 2.66443i | ||||
\(521\) | −15.9281 | − | 27.5883i | −0.697824 | − | 1.20867i | −0.969220 | − | 0.246198i | \(-0.920819\pi\) |
0.271396 | − | 0.962468i | \(-0.412515\pi\) | |||||||
\(522\) | −65.2944 | + | 40.3665i | −2.85786 | + | 1.76679i | ||||
\(523\) | −0.367822 | + | 0.637086i | −0.0160837 | + | 0.0278578i | −0.873955 | − | 0.486006i | \(-0.838453\pi\) |
0.857872 | + | 0.513864i | \(0.171786\pi\) | |||||||
\(524\) | 32.7418 | + | 11.9170i | 1.43033 | + | 0.520598i | ||||
\(525\) | 5.52436 | + | 11.3959i | 0.241103 | + | 0.497356i | ||||
\(526\) | 51.7242 | + | 43.4017i | 2.25528 | + | 1.89241i | ||||
\(527\) | 19.3305 | + | 16.2202i | 0.842049 | + | 0.706563i | ||||
\(528\) | 2.40370 | + | 4.95845i | 0.104608 | + | 0.215789i | ||||
\(529\) | 2.36302 | + | 0.860068i | 0.102740 | + | 0.0373943i | ||||
\(530\) | −31.9953 | + | 55.4175i | −1.38979 | + | 2.40718i | ||||
\(531\) | 19.3537 | + | 10.4099i | 0.839879 | + | 0.451750i | ||||
\(532\) | 12.1081 | + | 20.9718i | 0.524951 | + | 0.909241i | ||||
\(533\) | 2.79127 | + | 15.8301i | 0.120903 | + | 0.685677i | ||||
\(534\) | 0.698451 | + | 0.677729i | 0.0302249 | + | 0.0293282i | ||||
\(535\) | 44.9221 | − | 16.3503i | 1.94215 | − | 0.706885i | ||||
\(536\) | 7.49560 | − | 42.5096i | 0.323760 | − | 1.83614i | ||||
\(537\) | 16.4698 | − | 11.9058i | 0.710724 | − | 0.513772i | ||||
\(538\) | 0.986597 | − | 0.827853i | 0.0425352 | − | 0.0356913i | ||||
\(539\) | 0.328776 | 0.0141614 | ||||||||
\(540\) | −78.0655 | + | 40.7908i | −3.35940 | + | 1.75536i | ||||
\(541\) | 4.13866 | 0.177935 | 0.0889674 | − | 0.996035i | \(-0.471643\pi\) | ||||
0.0889674 | + | 0.996035i | \(0.471643\pi\) | |||||||
\(542\) | −47.4399 | + | 39.8068i | −2.03772 | + | 1.70985i | ||||
\(543\) | −2.33235 | − | 22.7145i | −0.100091 | − | 0.974773i | ||||
\(544\) | 4.67144 | − | 26.4930i | 0.200286 | − | 1.13588i | ||||
\(545\) | −36.2819 | + | 13.2055i | −1.55415 | + | 0.565663i | ||||
\(546\) | 2.62752 | − | 10.4318i | 0.112448 | − | 0.446441i | ||||
\(547\) | −3.84645 | − | 21.8143i | −0.164462 | − | 0.932712i | −0.949617 | − | 0.313413i | \(-0.898528\pi\) |
0.785155 | − | 0.619300i | \(-0.212583\pi\) | |||||||
\(548\) | −22.1455 | − | 38.3572i | −0.946011 | − | 1.63854i | ||||
\(549\) | −1.68750 | + | 2.13869i | −0.0720208 | + | 0.0912771i | ||||
\(550\) | −3.14147 | + | 5.44118i | −0.133953 | + | 0.232013i | ||||
\(551\) | −46.1161 | − | 16.7849i | −1.96461 | − | 0.715060i | ||||
\(552\) | −57.8535 | − | 4.18489i | −2.46241 | − | 0.178121i | ||||
\(553\) | −0.653105 | − | 0.548021i | −0.0277729 | − | 0.0233042i | ||||
\(554\) | 24.5293 | + | 20.5825i | 1.04215 | + | 0.874468i | ||||
\(555\) | −11.6213 | + | 17.1406i | −0.493298 | + | 0.727576i | ||||
\(556\) | 81.2977 | + | 29.5900i | 3.44779 | + | 1.25489i | ||||
\(557\) | 0.700682 | − | 1.21362i | 0.0296888 | − | 0.0514226i | −0.850799 | − | 0.525491i | \(-0.823882\pi\) |
0.880488 | + | 0.474068i | \(0.157215\pi\) | |||||||
\(558\) | 24.1984 | − | 73.2777i | 1.02440 | − | 3.10209i | ||||
\(559\) | −1.06641 | − | 1.84707i | −0.0451041 | − | 0.0781226i | ||||
\(560\) | 5.89588 | + | 33.4372i | 0.249146 | + | 1.41298i | ||||
\(561\) | 1.40444 | − | 0.399076i | 0.0592956 | − | 0.0168490i | ||||
\(562\) | −32.8005 | + | 11.9384i | −1.38361 | + | 0.503592i | ||||
\(563\) | −1.05858 | + | 6.00352i | −0.0446139 | + | 0.253018i | −0.998955 | − | 0.0457004i | \(-0.985448\pi\) |
0.954341 | + | 0.298718i | \(0.0965592\pi\) | |||||||
\(564\) | −38.4806 | − | 17.2433i | −1.62033 | − | 0.726075i | ||||
\(565\) | 3.34864 | − | 2.80985i | 0.140879 | − | 0.118211i | ||||
\(566\) | −7.87183 | −0.330878 | ||||||||
\(567\) | −8.98368 | + | 0.541694i | −0.377279 | + | 0.0227490i | ||||
\(568\) | 80.8770 | 3.39352 | ||||||||
\(569\) | 18.8667 | − | 15.8311i | 0.790935 | − | 0.663673i | −0.155042 | − | 0.987908i | \(-0.549551\pi\) |
0.945977 | + | 0.324235i | \(0.105107\pi\) | |||||||
\(570\) | −72.6600 | − | 32.5592i | −3.04339 | − | 1.36376i | ||||
\(571\) | −4.75575 | + | 26.9712i | −0.199022 | + | 1.12871i | 0.707552 | + | 0.706661i | \(0.249800\pi\) |
−0.906574 | + | 0.422047i | \(0.861312\pi\) | |||||||
\(572\) | 3.54680 | − | 1.29093i | 0.148299 | − | 0.0539765i | ||||
\(573\) | −0.635641 | + | 0.180619i | −0.0265543 | + | 0.00754548i | ||||
\(574\) | −3.06994 | − | 17.4105i | −0.128137 | − | 0.726699i | ||||
\(575\) | −16.5467 | − | 28.6598i | −0.690046 | − | 1.19519i | ||||
\(576\) | −23.7053 | + | 4.92005i | −0.987720 | + | 0.205002i | ||||
\(577\) | 20.5067 | − | 35.5186i | 0.853705 | − | 1.47866i | −0.0241371 | − | 0.999709i | \(-0.507684\pi\) |
0.877842 | − | 0.478951i | \(-0.158983\pi\) | |||||||
\(578\) | 25.6070 | + | 9.32018i | 1.06511 | + | 0.387669i | ||||
\(579\) | −10.4287 | + | 15.3816i | −0.433404 | + | 0.639237i | ||||
\(580\) | −127.130 | − | 106.675i | −5.27879 | − | 4.42943i | ||||
\(581\) | −1.71116 | − | 1.43583i | −0.0709908 | − | 0.0595684i | ||||
\(582\) | −13.1291 | − | 0.949710i | −0.544220 | − | 0.0393667i | ||||
\(583\) | −2.15576 | − | 0.784633i | −0.0892825 | − | 0.0324962i | ||||
\(584\) | 21.8374 | − | 37.8235i | 0.903638 | − | 1.56515i | ||||
\(585\) | 9.25937 | + | 23.2379i | 0.382828 | + | 0.960769i | ||||
\(586\) | 5.55461 | + | 9.62087i | 0.229459 | + | 0.397434i | ||||
\(587\) | −1.87320 | − | 10.6235i | −0.0773154 | − | 0.438477i | −0.998752 | − | 0.0499481i | \(-0.984094\pi\) |
0.921436 | − | 0.388529i | \(-0.127017\pi\) | |||||||
\(588\) | −2.04374 | + | 8.11410i | −0.0842826 | + | 0.334620i | ||||
\(589\) | 46.3594 | − | 16.8735i | 1.91021 | − | 0.695258i | ||||
\(590\) | −11.6652 | + | 66.1568i | −0.480250 | + | 2.72363i | ||||
\(591\) | 0.0734102 | + | 0.714933i | 0.00301969 | + | 0.0294084i | ||||
\(592\) | −25.2585 | + | 21.1944i | −1.03812 | + | 0.871084i | ||||
\(593\) | 33.8232 | 1.38895 | 0.694475 | − | 0.719516i | \(-0.255637\pi\) | ||||
0.694475 | + | 0.719516i | \(0.255637\pi\) | |||||||
\(594\) | −2.72357 | − | 3.53817i | −0.111749 | − | 0.145173i | ||||
\(595\) | 8.99630 | 0.368812 | ||||||||
\(596\) | 74.1617 | − | 62.2290i | 3.03778 | − | 2.54900i | ||||
\(597\) | −27.6790 | + | 20.0088i | −1.13283 | + | 0.818905i | ||||
\(598\) | −4.88144 | + | 27.6840i | −0.199617 | + | 1.13208i | ||||
\(599\) | −45.6141 | + | 16.6022i | −1.86374 | + | 0.678347i | −0.887836 | + | 0.460161i | \(0.847792\pi\) |
−0.975907 | + | 0.218186i | \(0.929986\pi\) | |||||||
\(600\) | −67.2493 | − | 65.2542i | −2.74544 | − | 2.66399i | ||||
\(601\) | 1.44066 | + | 8.17040i | 0.0587658 | + | 0.333277i | 0.999990 | − | 0.00450545i | \(-0.00143414\pi\) |
−0.941224 | + | 0.337783i | \(0.890323\pi\) | |||||||
\(602\) | 1.17287 | + | 2.03147i | 0.0478026 | + | 0.0827965i | ||||
\(603\) | 0.526932 | + | 17.4936i | 0.0214583 | + | 0.712395i | ||||
\(604\) | 1.37879 | − | 2.38814i | 0.0561024 | − | 0.0971722i | ||||
\(605\) | 35.9128 | + | 13.0712i | 1.46006 | + | 0.531420i | ||||
\(606\) | −10.9044 | − | 22.4941i | −0.442963 | − | 0.913761i | ||||
\(607\) | 0.953898 | + | 0.800415i | 0.0387175 | + | 0.0324879i | 0.661941 | − | 0.749556i | \(-0.269733\pi\) |
−0.623224 | + | 0.782044i | \(0.714177\pi\) | |||||||
\(608\) | −40.2900 | − | 33.8074i | −1.63398 | − | 1.37107i | ||||
\(609\) | −7.39707 | − | 15.2590i | −0.299745 | − | 0.618325i | ||||
\(610\) | −7.82558 | − | 2.84828i | −0.316849 | − | 0.115323i | ||||
\(611\) | −5.98776 | + | 10.3711i | −0.242239 | + | 0.419570i | ||||
\(612\) | 1.11877 | + | 37.1420i | 0.0452236 | + | 1.50138i | ||||
\(613\) | 21.5040 | + | 37.2460i | 0.868539 | + | 1.50435i | 0.863490 | + | 0.504366i | \(0.168274\pi\) |
0.00504868 | + | 0.999987i | \(0.498393\pi\) | |||||||
\(614\) | −11.0698 | − | 62.7802i | −0.446743 | − | 2.53360i | ||||
\(615\) | 29.5028 | + | 28.6276i | 1.18967 | + | 1.15437i | ||||
\(616\) | −2.28595 | + | 0.832018i | −0.0921035 | + | 0.0335229i | ||||
\(617\) | −3.75376 | + | 21.2886i | −0.151121 | + | 0.857048i | 0.811127 | + | 0.584871i | \(0.198855\pi\) |
−0.962247 | + | 0.272177i | \(0.912256\pi\) | |||||||
\(618\) | −16.2086 | + | 11.7170i | −0.652006 | + | 0.471326i | ||||
\(619\) | −19.4601 | + | 16.3289i | −0.782166 | + | 0.656315i | −0.943793 | − | 0.330537i | \(-0.892770\pi\) |
0.161627 | + | 0.986852i | \(0.448326\pi\) | |||||||
\(620\) | 166.832 | 6.70015 | ||||||||
\(621\) | 23.3122 | − | 3.10553i | 0.935487 | − | 0.124621i | ||||
\(622\) | −37.1865 | −1.49104 | ||||||||
\(623\) | −0.164688 | + | 0.138189i | −0.00659807 | + | 0.00553644i | ||||
\(624\) | 4.06825 | + | 39.6202i | 0.162860 | + | 1.58608i | ||||
\(625\) | −1.40607 | + | 7.97420i | −0.0562427 | + | 0.318968i | ||||
\(626\) | −19.0306 | + | 6.92656i | −0.760615 | + | 0.276841i | ||||
\(627\) | 0.697201 | − | 2.76804i | 0.0278435 | − | 0.110545i | ||||
\(628\) | 6.75506 | + | 38.3099i | 0.269556 | + | 1.52873i | ||||
\(629\) | 4.36826 | + | 7.56606i | 0.174174 | + | 0.301678i | ||||
\(630\) | −10.1838 | − | 25.5578i | −0.405731 | − | 1.01825i | ||||
\(631\) | −15.2296 | + | 26.3784i | −0.606279 | + | 1.05011i | 0.385569 | + | 0.922679i | \(0.374005\pi\) |
−0.991848 | + | 0.127427i | \(0.959328\pi\) | |||||||
\(632\) | 5.92783 | + | 2.15755i | 0.235797 | + | 0.0858229i | ||||
\(633\) | −28.7645 | − | 2.08071i | −1.14329 | − | 0.0827008i | ||||
\(634\) | 25.3340 | + | 21.2577i | 1.00614 | + | 0.844253i | ||||
\(635\) | −34.3870 | − | 28.8541i | −1.36461 | − | 1.14504i | ||||
\(636\) | 32.7652 | − | 48.3261i | 1.29922 | − | 1.91626i | ||||
\(637\) | 2.23306 | + | 0.812767i | 0.0884771 | + | 0.0322030i | ||||
\(638\) | 4.20640 | − | 7.28570i | 0.166533 | − | 0.288443i | ||||
\(639\) | −32.1075 | + | 6.66395i | −1.27015 | + | 0.263622i | ||||
\(640\) | −0.188519 | − | 0.326525i | −0.00745188 | − | 0.0129070i | ||||
\(641\) | −2.47840 | − | 14.0557i | −0.0978909 | − | 0.555167i | −0.993823 | − | 0.110976i | \(-0.964602\pi\) |
0.895932 | − | 0.444191i | \(-0.146509\pi\) | |||||||
\(642\) | −59.3275 | + | 16.8581i | −2.34147 | + | 0.665335i | ||||
\(643\) | 20.4760 | − | 7.45266i | 0.807496 | − | 0.293904i | 0.0949066 | − | 0.995486i | \(-0.469745\pi\) |
0.712589 | + | 0.701582i | \(0.247523\pi\) | |||||||
\(644\) | 3.79689 | − | 21.5332i | 0.149618 | − | 0.848528i | ||||
\(645\) | −4.97763 | − | 2.23050i | −0.195994 | − | 0.0878258i | ||||
\(646\) | −25.7317 | + | 21.5915i | −1.01240 | + | 0.849504i | ||||
\(647\) | 44.4776 | 1.74860 | 0.874298 | − | 0.485389i | \(-0.161322\pi\) | ||||
0.874298 | + | 0.485389i | \(0.161322\pi\) | |||||||
\(648\) | 61.0919 | − | 26.5009i | 2.39992 | − | 1.04105i | ||||
\(649\) | −2.40836 | −0.0945364 | ||||||||
\(650\) | −34.7881 | + | 29.1907i | −1.36450 | + | 1.14495i | ||||
\(651\) | 15.5564 | + | 6.97090i | 0.609705 | + | 0.273211i | ||||
\(652\) | −1.58429 | + | 8.98498i | −0.0620458 | + | 0.351879i | ||||
\(653\) | −2.67503 | + | 0.973633i | −0.104682 | + | 0.0381012i | −0.393830 | − | 0.919183i | \(-0.628850\pi\) |
0.289148 | + | 0.957284i | \(0.406628\pi\) | |||||||
\(654\) | 47.9166 | − | 13.6156i | 1.87369 | − | 0.532414i | ||||
\(655\) | −4.39450 | − | 24.9225i | −0.171707 | − | 0.973801i | ||||
\(656\) | 32.7270 | + | 56.6848i | 1.27777 | + | 2.21317i | ||||
\(657\) | −5.55278 | + | 16.8150i | −0.216634 | + | 0.656014i | ||||
\(658\) | 6.58555 | − | 11.4065i | 0.256731 | − | 0.444672i | ||||
\(659\) | 14.5443 | + | 5.29368i | 0.566564 | + | 0.206212i | 0.609391 | − | 0.792870i | \(-0.291414\pi\) |
−0.0428267 | + | 0.999083i | \(0.513636\pi\) | |||||||
\(660\) | 5.41699 | − | 7.98964i | 0.210856 | − | 0.310996i | ||||
\(661\) | 10.2102 | + | 8.56735i | 0.397130 | + | 0.333231i | 0.819383 | − | 0.573247i | \(-0.194316\pi\) |
−0.422253 | + | 0.906478i | \(0.638761\pi\) | |||||||
\(662\) | 2.05363 | + | 1.72320i | 0.0798166 | + | 0.0669741i | ||||
\(663\) | 10.5256 | + | 0.761380i | 0.408780 | + | 0.0295695i | ||||
\(664\) | 15.5311 | + | 5.65286i | 0.602724 | + | 0.219374i | ||||
\(665\) | 8.79423 | − | 15.2320i | 0.341025 | − | 0.590673i | ||||
\(666\) | 16.5498 | − | 20.9747i | 0.641290 | − | 0.812752i | ||||
\(667\) | 22.1559 | + | 38.3752i | 0.857881 | + | 1.48589i | ||||
\(668\) | 4.22676 | + | 23.9712i | 0.163538 | + | 0.927472i | ||||
\(669\) | 4.01370 | − | 15.9352i | 0.155178 | − | 0.616091i | ||||
\(670\) | −50.2739 | + | 18.2982i | −1.94225 | + | 0.706921i | ||||
\(671\) | 0.0518441 | − | 0.294023i | 0.00200142 | − | 0.0113506i | ||||
\(672\) | −1.85631 | − | 18.0784i | −0.0716086 | − | 0.697388i | ||||
\(673\) | 10.7285 | − | 9.00232i | 0.413555 | − | 0.347014i | −0.412150 | − | 0.911116i | \(-0.635222\pi\) |
0.825705 | + | 0.564102i | \(0.190778\pi\) | |||||||
\(674\) | 33.7874 | 1.30144 | ||||||||
\(675\) | 32.0742 | + | 20.3643i | 1.23454 | + | 0.783824i | ||||
\(676\) | −35.5216 | −1.36621 | ||||||||
\(677\) | −19.5771 | + | 16.4272i | −0.752410 | + | 0.631347i | −0.936139 | − | 0.351630i | \(-0.885628\pi\) |
0.183729 | + | 0.982977i | \(0.441183\pi\) | |||||||
\(678\) | −4.57057 | + | 3.30400i | −0.175532 | + | 0.126889i | ||||
\(679\) | 0.504937 | − | 2.86364i | 0.0193777 | − | 0.109896i | ||||
\(680\) | −62.5505 | + | 22.7665i | −2.39870 | + | 0.873056i | ||||
\(681\) | 17.4165 | + | 16.8998i | 0.667400 | + | 0.647600i | ||||
\(682\) | 1.46858 | + | 8.32871i | 0.0562347 | + | 0.318923i | ||||
\(683\) | −1.69604 | − | 2.93763i | −0.0648971 | − | 0.112405i | 0.831751 | − | 0.555149i | \(-0.187339\pi\) |
−0.896648 | + | 0.442743i | \(0.854005\pi\) | |||||||
\(684\) | 63.9804 | + | 34.4135i | 2.44635 | + | 1.31583i | ||||
\(685\) | −16.0846 | + | 27.8593i | −0.614560 | + | 1.06445i | ||||
\(686\) | −2.45600 | − | 0.893910i | −0.0937704 | − | 0.0341296i | ||||
\(687\) | −15.5417 | − | 32.0600i | −0.592953 | − | 1.22317i | ||||
\(688\) | −6.65289 | − | 5.58244i | −0.253639 | − | 0.212828i | ||||
\(689\) | −12.7023 | − | 10.6585i | −0.483920 | − | 0.406057i | ||||
\(690\) | 31.3606 | + | 64.6919i | 1.19388 | + | 2.46278i | ||||
\(691\) | 1.64934 | + | 0.600311i | 0.0627439 | + | 0.0228369i | 0.373201 | − | 0.927750i | \(-0.378260\pi\) |
−0.310458 | + | 0.950587i | \(0.600482\pi\) | |||||||
\(692\) | 41.8720 | − | 72.5244i | 1.59173 | − | 2.75696i | ||||
\(693\) | 0.838950 | − | 0.518658i | 0.0318691 | − | 0.0197022i | ||||
\(694\) | −36.0094 | − | 62.3702i | −1.36690 | − | 2.36754i | ||||
\(695\) | −10.9115 | − | 61.8824i | −0.413898 | − | 2.34733i | ||||
\(696\) | 90.0464 | + | 87.3749i | 3.41320 | + | 3.31194i | ||||
\(697\) | 16.2970 | − | 5.93162i | 0.617293 | − | 0.224676i | ||||
\(698\) | 10.0765 | − | 57.1469i | 0.381403 | − | 2.16304i | ||||
\(699\) | 22.0419 | − | 15.9338i | 0.833703 | − | 0.602673i | ||||
\(700\) | 27.0589 | − | 22.7051i | 1.02273 | − | 0.858174i | ||||
\(701\) | −49.6210 | −1.87416 | −0.937079 | − | 0.349118i | \(-0.886481\pi\) | ||||
−0.937079 | + | 0.349118i | \(0.886481\pi\) | |||||||
\(702\) | −9.75190 | − | 30.7643i | −0.368062 | − | 1.16112i | ||||
\(703\) | 17.0806 | 0.644206 | ||||||||
\(704\) | 2.03253 | − | 1.70549i | 0.0766037 | − | 0.0642781i | ||||
\(705\) | 3.12834 | + | 30.4665i | 0.117820 | + | 1.14744i | ||||
\(706\) | 6.28372 | − | 35.6367i | 0.236491 | − | 1.34121i | ||||
\(707\) | 5.18903 | − | 1.88865i | 0.195153 | − | 0.0710301i | ||||
\(708\) | 14.9709 | − | 59.4376i | 0.562641 | − | 2.23380i | ||||
\(709\) | 1.44806 | + | 8.21236i | 0.0543831 | + | 0.308422i | 0.999850 | − | 0.0172952i | \(-0.00550550\pi\) |
−0.945467 | + | 0.325717i | \(0.894394\pi\) | |||||||
\(710\) | −50.1205 | − | 86.8113i | −1.88099 | − | 3.25797i | ||||
\(711\) | −2.53108 | − | 0.368103i | −0.0949229 | − | 0.0138049i | ||||
\(712\) | 0.795349 | − | 1.37758i | 0.0298070 | − | 0.0516272i | ||||
\(713\) | −41.8593 | − | 15.2355i | −1.56764 | − | 0.570575i | ||||
\(714\) | −11.5764 | − | 0.837392i | −0.433236 | − | 0.0313386i | ||||
\(715\) | −2.10004 | − | 1.76215i | −0.0785372 | − | 0.0659005i | ||||
\(716\) | −43.4216 | − | 36.4350i | −1.62274 | − | 1.36164i | ||||
\(717\) | 27.4807 | − | 40.5319i | 1.02628 | − | 1.51369i | ||||
\(718\) | 5.81255 | + | 2.11560i | 0.216923 | + | 0.0789534i | ||||
\(719\) | 9.33949 | − | 16.1765i | 0.348304 | − | 0.603280i | −0.637644 | − | 0.770331i | \(-0.720091\pi\) |
0.985948 | + | 0.167051i | \(0.0534243\pi\) | |||||||
\(720\) | 67.7933 | + | 76.0219i | 2.52651 | + | 2.83317i | ||||
\(721\) | −2.20903 | − | 3.82615i | −0.0822685 | − | 0.142493i | ||||
\(722\) | 2.78062 | + | 15.7697i | 0.103484 | + | 0.586886i | ||||
\(723\) | 40.0507 | − | 11.3805i | 1.48950 | − | 0.423246i | ||||
\(724\) | −59.8470 | + | 21.7825i | −2.22420 | + | 0.809541i | ||||
\(725\) | −12.4305 | + | 70.4969i | −0.461658 | + | 2.61819i | ||||
\(726\) | −44.9958 | − | 20.1628i | −1.66995 | − | 0.748311i | ||||
\(727\) | 3.52947 | − | 2.96158i | 0.130901 | − | 0.109839i | −0.574987 | − | 0.818163i | \(-0.694993\pi\) |
0.705888 | + | 0.708324i | \(0.250548\pi\) | |||||||
\(728\) | −17.5831 | −0.651673 | ||||||||
\(729\) | −22.0695 | + | 15.5544i | −0.817387 | + | 0.576089i | ||||
\(730\) | −54.1317 | −2.00350 | ||||||||
\(731\) | −1.76277 | + | 1.47914i | −0.0651985 | + | 0.0547080i | ||||
\(732\) | 6.93412 | + | 3.10721i | 0.256293 | + | 0.114846i | ||||
\(733\) | −6.38556 | + | 36.2143i | −0.235856 | + | 1.33761i | 0.604947 | + | 0.796265i | \(0.293194\pi\) |
−0.840803 | + | 0.541341i | \(0.817917\pi\) | |||||||
\(734\) | −20.9723 | + | 7.63329i | −0.774102 | + | 0.281750i | ||||
\(735\) | 5.84600 | − | 1.66116i | 0.215633 | − | 0.0612728i | ||||
\(736\) | 8.24646 | + | 46.7680i | 0.303969 | + | 1.72389i | ||||
\(737\) | −0.959015 | − | 1.66106i | −0.0353258 | − | 0.0611860i | ||||
\(738\) | −35.2994 | − | 39.5840i | −1.29939 | − | 1.45711i | ||||
\(739\) | 15.7426 | − | 27.2670i | 0.579101 | − | 1.00303i | −0.416481 | − | 0.909144i | \(-0.636737\pi\) |
0.995583 | − | 0.0938889i | \(-0.0299298\pi\) | |||||||
\(740\) | 54.2771 | + | 19.7552i | 1.99526 | + | 0.726217i | ||||
\(741\) | 11.5783 | − | 17.0771i | 0.425339 | − | 0.627342i | ||||
\(742\) | 13.9705 | + | 11.7226i | 0.512872 | + | 0.430350i | ||||
\(743\) | 33.0732 | + | 27.7517i | 1.21334 | + | 1.01811i | 0.999146 | + | 0.0413184i | \(0.0131558\pi\) |
0.214191 | + | 0.976792i | \(0.431289\pi\) | |||||||
\(744\) | −125.803 | − | 9.10012i | −4.61218 | − | 0.333627i | ||||
\(745\) | −66.0746 | − | 24.0492i | −2.42079 | − | 0.881094i | ||||
\(746\) | −47.2977 | + | 81.9220i | −1.73169 | + | 2.99938i | ||||
\(747\) | −6.63151 | − | 0.964441i | −0.242634 | − | 0.0352871i | ||||
\(748\) | −2.03616 | − | 3.52673i | −0.0744492 | − | 0.128950i | ||||
\(749\) | −2.36584 | − | 13.4173i | −0.0864458 | − | 0.490258i | ||||
\(750\) | −8.96870 | + | 35.6076i | −0.327491 | + | 1.30021i | ||||
\(751\) | 34.1005 | − | 12.4116i | 1.24435 | − | 0.452905i | 0.365858 | − | 0.930671i | \(-0.380776\pi\) |
0.878487 | + | 0.477766i | \(0.158553\pi\) | |||||||
\(752\) | −8.46777 | + | 48.0231i | −0.308788 | + | 1.75122i | ||||
\(753\) | 2.75707 | + | 26.8508i | 0.100473 | + | 0.978497i | ||||
\(754\) | 46.5810 | − | 39.0861i | 1.69638 | − | 1.42343i | ||||
\(755\) | −2.00287 | −0.0728919 | ||||||||
\(756\) | 7.58524 | + | 23.9291i | 0.275872 | + | 0.870294i | ||||
\(757\) | 40.9390 | 1.48795 | 0.743977 | − | 0.668205i | \(-0.232937\pi\) | ||||
0.743977 | + | 0.668205i | \(0.232937\pi\) | |||||||
\(758\) | −17.1677 | + | 14.4054i | −0.623559 | + | 0.523229i | ||||
\(759\) | −2.08879 | + | 1.50996i | −0.0758182 | + | 0.0548079i | ||||
\(760\) | −22.5984 | + | 128.162i | −0.819732 | + | 4.64893i | ||||
\(761\) | −4.78591 | + | 1.74193i | −0.173489 | + | 0.0631449i | −0.427304 | − | 0.904108i | \(-0.640537\pi\) |
0.253815 | + | 0.967253i | \(0.418314\pi\) | |||||||
\(762\) | 41.5633 | + | 40.3302i | 1.50568 | + | 1.46101i | ||||
\(763\) | 1.91080 | + | 10.8367i | 0.0691756 | + | 0.392314i | ||||
\(764\) | 0.921550 | + | 1.59617i | 0.0333405 | + | 0.0577474i | ||||
\(765\) | 22.9562 | − | 14.1920i | 0.829983 | − | 0.513115i | ||||
\(766\) | −4.55267 | + | 7.88545i | −0.164495 | + | 0.284913i | ||||
\(767\) | −16.3577 | − | 5.95371i | −0.590642 | − | 0.214976i | ||||
\(768\) | −11.9826 | − | 24.7181i | −0.432384 | − | 0.891939i | ||||
\(769\) | −31.6855 | − | 26.5873i | −1.14261 | − | 0.958762i | −0.143087 | − | 0.989710i | \(-0.545703\pi\) |
−0.999521 | + | 0.0309485i | \(0.990147\pi\) | |||||||
\(770\) | 2.30970 | + | 1.93807i | 0.0832358 | + | 0.0698431i | ||||
\(771\) | 5.65163 | + | 11.6584i | 0.203539 | + | 0.419867i | ||||
\(772\) | 48.7071 | + | 17.7279i | 1.75301 | + | 0.638043i | ||||
\(773\) | −0.613389 | + | 1.06242i | −0.0220621 | + | 0.0382126i | −0.876846 | − | 0.480772i | \(-0.840356\pi\) |
0.854784 | + | 0.518985i | \(0.173690\pi\) | |||||||
\(774\) | 6.19758 | + | 3.33352i | 0.222767 | + | 0.119821i | ||||
\(775\) | −35.9811 | − | 62.3211i | −1.29248 | − | 2.23864i | ||||
\(776\) | 3.73609 | + | 21.1884i | 0.134118 | + | 0.760621i | ||||
\(777\) | 4.23566 | + | 4.11000i | 0.151954 | + | 0.147445i | ||||
\(778\) | −46.9055 | + | 17.0722i | −1.68164 | + | 0.612068i | ||||
\(779\) | 5.88783 | − | 33.3916i | 0.210954 | − | 1.19638i | ||||
\(780\) | 56.5436 | − | 40.8746i | 2.02459 | − | 1.46355i | ||||
\(781\) | 2.75295 | − | 2.31000i | 0.0985083 | − | 0.0826582i | ||||
\(782\) | 30.3297 | 1.08459 | ||||||||
\(783\) | −42.9471 | − | 27.2677i | −1.53480 | − | 0.974468i | ||||
\(784\) | 9.67651 | 0.345590 | ||||||||
\(785\) | 21.6439 | − | 18.1614i | 0.772506 | − | 0.648209i | ||||
\(786\) | 3.33500 | + | 32.4792i | 0.118956 | + | 1.15849i | ||||
\(787\) | 0.256922 | − | 1.45708i | 0.00915827 | − | 0.0519391i | −0.979886 | − | 0.199557i | \(-0.936050\pi\) |
0.989044 | + | 0.147618i | \(0.0471607\pi\) | |||||||
\(788\) | 1.88367 | − | 0.685600i | 0.0671030 | − | 0.0244235i | ||||
\(789\) | −10.9292 | + | 43.3912i | −0.389089 | + | 1.54477i | ||||
\(790\) | −1.35769 | − | 7.69985i | −0.0483045 | − | 0.273948i | ||||
\(791\) | −0.622910 | − | 1.07891i | −0.0221481 | − | 0.0383617i | ||||
\(792\) | −4.52060 | + | 5.72927i | −0.160632 | + | 0.203581i | ||||
\(793\) | 1.07898 | − | 1.86885i | 0.0383157 | − | 0.0663648i | ||||
\(794\) | 35.5722 | + | 12.9472i | 1.26241 | + | 0.459480i | ||||
\(795\) | −42.2962 | − | 3.05954i | −1.50009 | − | 0.108511i | ||||
\(796\) | 72.9741 | + | 61.2325i | 2.58650 | + | 2.17033i | ||||
\(797\) | 23.2710 | + | 19.5266i | 0.824299 | + | 0.691669i | 0.953975 | − | 0.299887i | \(-0.0969490\pi\) |
−0.129675 | + | 0.991557i | \(0.541393\pi\) | |||||||
\(798\) | −12.7342 | + | 18.7820i | −0.450786 | + | 0.664874i | ||||
\(799\) | 12.1414 | + | 4.41912i | 0.429533 | + | 0.156337i | ||||
\(800\) | −38.3589 | + | 66.4396i | −1.35619 | + | 2.34899i | ||||
\(801\) | −0.202240 | + | 0.612424i | −0.00714579 | + | 0.0216389i | ||||
\(802\) | −45.9896 | − | 79.6564i | −1.62395 | − | 2.81276i | ||||
\(803\) | −0.336993 | − | 1.91118i | −0.0118922 | − | 0.0674441i | ||||
\(804\) | 46.9560 | − | 13.3427i | 1.65601 | − | 0.470560i | ||||
\(805\) | −14.9234 | + | 5.43166i | −0.525980 | + | 0.191441i | ||||
\(806\) | −10.6148 | + | 60.1994i | −0.373890 | + | 2.12043i | ||||
\(807\) | 0.778878 | + | 0.349019i | 0.0274178 | + | 0.0122860i | ||||
\(808\) | −31.2993 | + | 26.2632i | −1.10111 | + | 0.923938i | ||||
\(809\) | 0.358539 | 0.0126056 | 0.00630278 | − | 0.999980i | \(-0.497994\pi\) | ||||
0.00630278 | + | 0.999980i | \(0.497994\pi\) | |||||||
\(810\) | −66.3049 | − | 49.1515i | −2.32972 | − | 1.72701i | ||||
\(811\) | −7.53287 | −0.264515 | −0.132257 | − | 0.991215i | \(-0.542223\pi\) | ||||
−0.132257 | + | 0.991215i | \(0.542223\pi\) | |||||||
\(812\) | −36.2317 | + | 30.4020i | −1.27148 | + | 1.06690i | ||||
\(813\) | −37.4519 | − | 16.7823i | −1.31349 | − | 0.588582i | ||||
\(814\) | −0.508448 | + | 2.88355i | −0.0178211 | + | 0.101068i | ||||
\(815\) | 6.22694 | − | 2.26642i | 0.218120 | − | 0.0793893i | ||||
\(816\) | 41.3354 | − | 11.7456i | 1.44703 | − | 0.411178i | ||||
\(817\) | 0.781224 | + | 4.43054i | 0.0273316 | + | 0.155005i | ||||
\(818\) | −4.07381 | − | 7.05605i | −0.142438 | − | 0.246709i | ||||
\(819\) | 6.98036 | − | 1.44878i | 0.243913 | − | 0.0506244i | ||||
\(820\) | 57.3302 | − | 99.2988i | 2.00206 | − | 3.46766i | ||||
\(821\) | −32.8475 | − | 11.9555i | −1.14638 | − | 0.417250i | −0.302169 | − | 0.953254i | \(-0.597711\pi\) |
−0.844215 | + | 0.536004i | \(0.819933\pi\) | |||||||
\(822\) | 23.2908 | − | 34.3520i | 0.812358 | − | 1.19817i | ||||
\(823\) | 10.4925 | + | 8.80425i | 0.365745 | + | 0.306897i | 0.807076 | − | 0.590448i | \(-0.201049\pi\) |
−0.441330 | + | 0.897345i | \(0.645493\pi\) | |||||||
\(824\) | 25.0418 | + | 21.0126i | 0.872373 | + | 0.732008i | ||||
\(825\) | −4.15287 | − | 0.300402i | −0.144584 | − | 0.0104587i | ||||
\(826\) | 17.9907 | + | 6.54809i | 0.625978 | + | 0.227837i | ||||
\(827\) | 7.79994 | − | 13.5099i | 0.271231 | − | 0.469785i | −0.697947 | − | 0.716150i | \(-0.745903\pi\) |
0.969177 | + | 0.246365i | \(0.0792361\pi\) | |||||||
\(828\) | −24.2809 | − | 60.9369i | −0.843821 | − | 2.11770i | ||||
\(829\) | −16.3716 | − | 28.3564i | −0.568609 | − | 0.984859i | −0.996704 | − | 0.0811257i | \(-0.974148\pi\) |
0.428095 | − | 0.903734i | \(-0.359185\pi\) | |||||||
\(830\) | −3.55720 | − | 20.1739i | −0.123472 | − | 0.700245i | ||||
\(831\) | −5.18298 | + | 20.5775i | −0.179795 | + | 0.713826i | ||||
\(832\) | 18.0212 | − | 6.55916i | 0.624771 | − | 0.227398i | ||||
\(833\) | 0.445220 | − | 2.52497i | 0.0154260 | − | 0.0874850i | ||||
\(834\) | 8.28080 | + | 80.6457i | 0.286741 | + | 2.79253i | ||||
\(835\) | 13.5430 | − | 11.3639i | 0.468675 | − | 0.393265i | ||||
\(836\) | −7.96168 | −0.275360 | ||||||||
\(837\) | 50.6928 | − | 6.75303i | 1.75220 | − | 0.233419i | ||||
\(838\) | −4.54870 | −0.157132 | ||||||||
\(839\) | −2.28340 | + | 1.91600i | −0.0788319 | + | 0.0661478i | −0.681352 | − | 0.731956i | \(-0.738608\pi\) |
0.602520 | + | 0.798104i | \(0.294163\pi\) | |||||||
\(840\) | −36.4429 | + | 26.3441i | −1.25740 | + | 0.908957i | ||||
\(841\) | 11.6086 | − | 65.8354i | 0.400295 | − | 2.27019i | ||||
\(842\) | −85.8534 | + | 31.2481i | −2.95870 | + | 1.07688i | ||||
\(843\) | −16.6012 | − | 16.1087i | −0.571776 | − | 0.554813i | ||||
\(844\) | 13.9681 | + | 79.2168i | 0.480800 | + | 2.72675i | ||||
\(845\) | 12.8999 | + | 22.3432i | 0.443769 | + | 0.768631i | ||||
\(846\) | −1.18966 | − | 39.4954i | −0.0409012 | − | 1.35788i | ||||
\(847\) | 5.44595 | − | 9.43267i | 0.187125 | − | 0.324110i | ||||
\(848\) | −63.4482 | − | 23.0933i | −2.17882 | − | 0.793026i | ||||
\(849\) | −2.27560 | − | 4.69419i | −0.0780983 | − | 0.161104i | ||||
\(850\) | 37.5336 | + | 31.4945i | 1.28739 | + | 1.08025i | ||||
\(851\) | −11.8144 | − | 9.91342i | −0.404991 | − | 0.339828i | ||||
\(852\) | 39.8972 | + | 82.3015i | 1.36685 | + | 2.81960i | ||||
\(853\) | 13.3830 | + | 4.87102i | 0.458226 | + | 0.166781i | 0.560811 | − | 0.827944i | \(-0.310489\pi\) |
−0.102585 | + | 0.994724i | \(0.532711\pi\) | |||||||
\(854\) | −1.18670 | + | 2.05543i | −0.0406081 | + | 0.0703352i | ||||
\(855\) | −1.58865 | − | 52.7414i | −0.0543306 | − | 1.80372i | ||||
\(856\) | 50.4040 | + | 87.3023i | 1.72277 | + | 2.98393i | ||||
\(857\) | 5.40024 | + | 30.6263i | 0.184469 | + | 1.04617i | 0.926636 | + | 0.375959i | \(0.122687\pi\) |
−0.742168 | + | 0.670214i | \(0.766202\pi\) | |||||||
\(858\) | 2.53830 | + | 2.46300i | 0.0866563 | + | 0.0840854i | ||||
\(859\) | −48.1882 | + | 17.5391i | −1.64416 | + | 0.598426i | −0.987759 | − | 0.155986i | \(-0.950144\pi\) |
−0.656402 | + | 0.754412i | \(0.727922\pi\) | |||||||
\(860\) | −2.64182 | + | 14.9825i | −0.0900854 | + | 0.510900i | ||||
\(861\) | 9.49489 | − | 6.86373i | 0.323585 | − | 0.233915i | ||||
\(862\) | −10.1619 | + | 8.52683i | −0.346115 | + | 0.290425i | ||||
\(863\) | 37.6511 | 1.28166 | 0.640829 | − | 0.767683i | \(-0.278591\pi\) | ||||
0.640829 | + | 0.767683i | \(0.278591\pi\) | |||||||
\(864\) | −33.2562 | − | 43.2028i | −1.13140 | − | 1.46979i | ||||
\(865\) | −60.8242 | −2.06809 | ||||||||
\(866\) | −34.4333 | + | 28.8930i | −1.17009 | + | 0.981823i | ||||
\(867\) | 1.84461 | + | 17.9645i | 0.0626463 | + | 0.610105i | ||||
\(868\) | 8.25640 | − | 46.8244i | 0.280241 | − | 1.58932i | ||||
\(869\) | 0.263400 | − | 0.0958696i | 0.00893522 | − | 0.00325216i | ||||
\(870\) | 37.9831 | − | 150.801i | 1.28775 | − | 5.11263i | ||||
\(871\) | −2.40735 | − | 13.6528i | −0.0815701 | − | 0.462607i | ||||
\(872\) | −40.7095 | − | 70.5109i | −1.37860 | − | 2.38780i | ||||
\(873\) | −3.22905 | − | 8.10381i | −0.109287 | − | 0.274272i | ||||
\(874\) | 29.6484 | − | 51.3526i | 1.00287 | − | 1.73703i | ||||
\(875\) | −7.62225 | − | 2.77427i | −0.257679 | − | 0.0937875i | ||||
\(876\) | 49.2622 | + | 3.56344i | 1.66442 | + | 0.120397i | ||||
\(877\) | 4.02403 | + | 3.37656i | 0.135882 | + | 0.114018i | 0.708195 | − | 0.706016i | \(-0.249510\pi\) |
−0.572314 | + | 0.820035i | \(0.693954\pi\) | |||||||
\(878\) | −34.1017 | − | 28.6147i | −1.15088 | − | 0.965700i | ||||
\(879\) | −4.13146 | + | 6.09358i | −0.139351 | + | 0.205531i | ||||
\(880\) | −10.4897 | − | 3.81795i | −0.353609 | − | 0.128703i | ||||
\(881\) | −15.0462 | + | 26.0608i | −0.506920 | + | 0.878011i | 0.493048 | + | 0.870002i | \(0.335883\pi\) |
−0.999968 | + | 0.00800900i | \(0.997451\pi\) | |||||||
\(882\) | −7.67724 | + | 1.59342i | −0.258506 | + | 0.0536531i | ||||
\(883\) | 10.7214 | + | 18.5700i | 0.360804 | + | 0.624931i | 0.988093 | − | 0.153856i | \(-0.0491690\pi\) |
−0.627289 | + | 0.778786i | \(0.715836\pi\) | |||||||
\(884\) | −5.11123 | − | 28.9872i | −0.171909 | − | 0.974947i | ||||
\(885\) | −42.8233 | + | 12.1684i | −1.43949 | + | 0.409035i | ||||
\(886\) | −37.0971 | + | 13.5022i | −1.24630 | + | 0.453617i | ||||
\(887\) | −4.90371 | + | 27.8103i | −0.164650 | + | 0.933779i | 0.784774 | + | 0.619782i | \(0.212779\pi\) |
−0.949424 | + | 0.313997i | \(0.898332\pi\) | |||||||
\(888\) | −39.8512 | − | 17.8575i | −1.33732 | − | 0.599257i | ||||
\(889\) | −9.80019 | + | 8.22334i | −0.328688 | + | 0.275802i | ||||
\(890\) | −1.97155 | −0.0660866 | ||||||||
\(891\) | 1.32257 | − | 2.64696i | 0.0443079 | − | 0.0886764i | ||||
\(892\) | −45.8343 | −1.53465 | ||||||||
\(893\) | 19.3509 | − | 16.2374i | 0.647554 | − | 0.543363i | ||||
\(894\) | 82.7860 | + | 37.0967i | 2.76878 | + | 1.24070i | ||||
\(895\) | −7.14900 | + | 40.5440i | −0.238965 | + | 1.35524i | ||||
\(896\) | −0.100975 | + | 0.0367518i | −0.00337333 | + | 0.00122779i | ||||
\(897\) | −17.9199 | + | 5.09199i | −0.598328 | + | 0.170017i | ||||
\(898\) | 6.41332 | + | 36.3717i | 0.214015 | + | 1.21374i | ||||
\(899\) | 48.1784 | + | 83.4475i | 1.60684 | + | 2.78313i | ||||
\(900\) | 33.2290 | − | 100.624i | 1.10763 | − | 3.35414i | ||||
\(901\) | −8.94518 | + | 15.4935i | −0.298007 | + | 0.516164i | ||||
\(902\) | 5.46192 | + | 1.98798i | 0.181862 | + | 0.0661923i | ||||
\(903\) | −0.872367 | + | 1.28667i | −0.0290306 | + | 0.0428178i | ||||
\(904\) | 7.06139 | + | 5.92521i | 0.234858 | + | 0.197070i | ||||
\(905\) | 35.4351 | + | 29.7336i | 1.17790 | + | 0.988378i | ||||
\(906\) | 2.57729 | + | 0.186431i | 0.0856246 | + | 0.00619375i | ||||
\(907\) | 46.4160 | + | 16.8941i | 1.54122 | + | 0.560958i | 0.966337 | − | 0.257278i | \(-0.0828258\pi\) |
0.574882 | + | 0.818236i | \(0.305048\pi\) | |||||||
\(908\) | 33.8438 | − | 58.6192i | 1.12315 | − | 1.94535i | ||||
\(909\) | 10.2616 | − | 13.0053i | 0.340356 | − | 0.431357i | ||||
\(910\) | 10.8965 | + | 18.8733i | 0.361215 | + | 0.625642i | ||||
\(911\) | 2.40798 | + | 13.6564i | 0.0797801 | + | 0.452455i | 0.998361 | + | 0.0572233i | \(0.0182247\pi\) |
−0.918581 | + | 0.395232i | \(0.870664\pi\) | |||||||
\(912\) | 20.5200 | − | 81.4687i | 0.679484 | − | 2.69770i | ||||
\(913\) | 0.690116 | − | 0.251182i | 0.0228395 | − | 0.00831290i | ||||
\(914\) | 10.3632 | − | 58.7728i | 0.342785 | − | 1.94403i | ||||
\(915\) | −0.563719 | − | 5.49000i | −0.0186360 | − | 0.181494i | ||||
\(916\) | −76.1250 | + | 63.8765i | −2.51524 | + | 2.11054i | ||||
\(917\) | −7.21240 | −0.238174 | ||||||||
\(918\) | −30.8610 | + | 16.1255i | −1.01856 | + | 0.532220i | ||||
\(919\) | −4.61654 | −0.152286 | −0.0761429 | − | 0.997097i | \(-0.524261\pi\) | ||||
−0.0761429 | + | 0.997097i | \(0.524261\pi\) | |||||||
\(920\) | 90.0152 | − | 75.5317i | 2.96771 | − | 2.49021i | ||||
\(921\) | 34.2375 | − | 24.7498i | 1.12816 | − | 0.815535i | ||||
\(922\) | 12.1786 | − | 69.0680i | 0.401079 | − | 2.27463i | ||||
\(923\) | 24.4087 | − | 8.88404i | 0.803422 | − | 0.292422i | ||||
\(924\) | −1.97435 | − | 1.91577i | −0.0649512 | − | 0.0630243i | ||||
\(925\) | −4.32638 | − | 24.5361i | −0.142251 | − | 0.806743i | ||||
\(926\) | 31.4610 | + | 54.4921i | 1.03387 | + | 1.79072i | ||||
\(927\) | −11.6728 | − | 6.27849i | −0.383384 | − | 0.206213i | ||||
\(928\) | 51.3623 | − | 88.9621i | 1.68605 | − | 2.92032i | ||||
\(929\) | 21.0412 | + | 7.65838i | 0.690340 | + | 0.251263i | 0.663281 | − | 0.748371i | \(-0.269164\pi\) |
0.0270592 | + | 0.999634i | \(0.491386\pi\) | |||||||
\(930\) | 68.1942 | + | 140.674i | 2.23618 | + | 4.61287i | ||||
\(931\) | −3.83992 | − | 3.22207i | −0.125848 | − | 0.105599i | ||||
\(932\) | −58.1122 | − | 48.7620i | −1.90353 | − | 1.59725i | ||||
\(933\) | −10.7499 | − | 22.1753i | −0.351936 | − | 0.725988i | ||||
\(934\) | 4.29155 | + | 1.56200i | 0.140424 | + | 0.0511101i | ||||
\(935\) | −1.47888 | + | 2.56150i | −0.0483647 | + | 0.0837701i | ||||
\(936\) | −44.8674 | + | 27.7381i | −1.46654 | + | 0.906647i | ||||
\(937\) | 15.4071 | + | 26.6859i | 0.503329 | + | 0.871792i | 0.999993 | + | 0.00384856i | \(0.00122504\pi\) |
−0.496663 | + | 0.867943i | \(0.665442\pi\) | |||||||
\(938\) | 2.64769 | + | 15.0158i | 0.0864502 | + | 0.490283i | ||||
\(939\) | −9.63188 | − | 9.34612i | −0.314324 | − | 0.304999i | ||||
\(940\) | 80.2716 | − | 29.2165i | 2.61817 | − | 0.952936i | ||||
\(941\) | 1.93875 | − | 10.9952i | 0.0632013 | − | 0.358432i | −0.936763 | − | 0.349965i | \(-0.886194\pi\) |
0.999964 | − | 0.00846760i | \(-0.00269535\pi\) | |||||||
\(942\) | −29.5418 | + | 21.3554i | −0.962525 | + | 0.695796i | ||||
\(943\) | −23.4527 | + | 19.6791i | −0.763725 | + | 0.640841i | ||||
\(944\) | −70.8827 | −2.30703 | ||||||||
\(945\) | 12.2969 | − | 13.4612i | 0.400019 | − | 0.437891i | ||||
\(946\) | −0.771222 | −0.0250746 | ||||||||
\(947\) | −30.7073 | + | 25.7665i | −0.997854 | + | 0.837299i | −0.986686 | − | 0.162639i | \(-0.947999\pi\) |
−0.0111680 | + | 0.999938i | \(0.503555\pi\) | |||||||
\(948\) | 0.728685 | + | 7.09658i | 0.0236666 | + | 0.230486i | ||||
\(949\) | 2.43576 | − | 13.8139i | 0.0790682 | − | 0.448418i | ||||
\(950\) | 90.0153 | − | 32.7629i | 2.92048 | − | 1.06297i | ||||
\(951\) | −5.35301 | + | 21.2526i | −0.173583 | + | 0.689162i | ||||
\(952\) | 3.29424 | + | 18.6826i | 0.106767 | + | 0.605506i | ||||
\(953\) | −15.6058 | − | 27.0300i | −0.505521 | − | 0.875587i | −0.999980 | − | 0.00638648i | \(-0.997967\pi\) |
0.494459 | − | 0.869201i | \(-0.335366\pi\) | |||||||
\(954\) | 54.1418 | + | 7.87402i | 1.75291 | + | 0.254931i | ||||
\(955\) | 0.669333 | − | 1.15932i | 0.0216591 | − | 0.0375147i | ||||
\(956\) | −128.348 | − | 46.7147i | −4.15106 | − | 1.51086i | ||||
\(957\) | 5.56065 | + | 0.402236i | 0.179750 | + | 0.0130024i | ||||
\(958\) | 8.57423 | + | 7.19463i | 0.277021 | + | 0.232448i | ||||
\(959\) | 7.02318 | + | 5.89315i | 0.226790 | + | 0.190300i | ||||
\(960\) | 27.5235 | − | 40.5950i | 0.888317 | − | 1.31020i | ||||
\(961\) | −61.8932 | − | 22.5273i | −1.99655 | − | 0.726686i | ||||
\(962\) | −10.5818 | + | 18.3283i | −0.341172 | + | 0.590927i | ||||
\(963\) | −27.2034 | − | 30.5053i | −0.876617 | − | 0.983019i | ||||
\(964\) | −58.0654 | − | 100.572i | −1.87016 | − | 3.23921i | ||||
\(965\) | −6.53733 | − | 37.0750i | −0.210444 | − | 1.19349i | ||||
\(966\) | 19.7089 | − | 5.60035i | 0.634124 | − | 0.180188i | ||||
\(967\) | 26.5573 | − | 9.66608i | 0.854026 | − | 0.310840i | 0.122345 | − | 0.992488i | \(-0.460958\pi\) |
0.731681 | + | 0.681647i | \(0.238736\pi\) | |||||||
\(968\) | −13.9944 | + | 79.3663i | −0.449798 | + | 2.55093i | ||||
\(969\) | −20.3141 | − | 9.10284i | −0.652584 | − | 0.292425i | ||||
\(970\) | 20.4278 | − | 17.1410i | 0.655898 | − | 0.550364i | ||||
\(971\) | 50.1324 | 1.60883 | 0.804413 | − | 0.594070i | \(-0.202480\pi\) | ||||
0.804413 | + | 0.594070i | \(0.202480\pi\) | |||||||
\(972\) | 57.1047 | + | 49.0948i | 1.83164 | + | 1.57472i | ||||
\(973\) | −17.9084 | −0.574116 | ||||||||
\(974\) | −82.5375 | + | 69.2572i | −2.64467 | + | 2.21914i | ||||
\(975\) | −27.4638 | − | 12.3066i | −0.879546 | − | 0.394128i | ||||
\(976\) | 1.52587 | − | 8.65365i | 0.0488420 | − | 0.276997i | ||||
\(977\) | 35.6406 | − | 12.9721i | 1.14024 | − | 0.415014i | 0.298242 | − | 0.954490i | \(-0.403600\pi\) |
0.842001 | + | 0.539476i | \(0.181378\pi\) | |||||||
\(978\) | −8.22376 | + | 2.33681i | −0.262967 | + | 0.0747228i | ||||
\(979\) | −0.0122737 | − | 0.0696079i | −0.000392271 | − | 0.00222468i | ||||
\(980\) | −8.47551 | − | 14.6800i | −0.270740 | − | 0.468936i | ||||
\(981\) | 21.9712 | + | 24.6380i | 0.701486 | + | 0.786630i | ||||
\(982\) | 23.7900 | − | 41.2056i | 0.759171 | − | 1.31492i | ||||
\(983\) | −11.4456 | − | 4.16588i | −0.365059 | − | 0.132871i | 0.152976 | − | 0.988230i | \(-0.451114\pi\) |
−0.518035 | + | 0.855359i | \(0.673336\pi\) | |||||||
\(984\) | −48.6474 | + | 71.7512i | −1.55082 | + | 2.28734i | ||||
\(985\) | −1.11531 | − | 0.935857i | −0.0355368 | − | 0.0298189i | ||||
\(986\) | −50.2573 | − | 42.1708i | −1.60052 | − | 1.34299i | ||||
\(987\) | 8.70577 | + | 0.629741i | 0.277108 | + | 0.0200449i | ||||
\(988\) | −54.0760 | − | 19.6821i | −1.72039 | − | 0.626170i | ||||
\(989\) | 2.03109 | − | 3.51795i | 0.0645849 | − | 0.111864i | ||||
\(990\) | 8.95113 | + | 1.30179i | 0.284486 | + | 0.0413736i | ||||
\(991\) | 7.59550 | + | 13.1558i | 0.241279 | + | 0.417907i | 0.961079 | − | 0.276274i | \(-0.0890998\pi\) |
−0.719800 | + | 0.694182i | \(0.755766\pi\) | |||||||
\(992\) | 17.9321 | + | 101.698i | 0.569344 | + | 3.22891i | ||||
\(993\) | −0.433927 | + | 1.72278i | −0.0137702 | + | 0.0546708i | ||||
\(994\) | −26.8455 | + | 9.77097i | −0.851488 | + | 0.309916i | ||||
\(995\) | 12.0146 | − | 68.1380i | 0.380887 | − | 2.16012i | ||||
\(996\) | 1.90918 | + | 18.5933i | 0.0604947 | + | 0.589150i | ||||
\(997\) | 27.0486 | − | 22.6965i | 0.856639 | − | 0.718805i | −0.104602 | − | 0.994514i | \(-0.533357\pi\) |
0.961241 | + | 0.275709i | \(0.0889125\pi\) | |||||||
\(998\) | −25.5675 | −0.809324 | ||||||||
\(999\) | 17.2920 | + | 3.80570i | 0.547095 | + | 0.120407i |
(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 | 189.2.v.a.22.9 | ✓ | 54 | |
3.2 | odd | 2 | 567.2.v.b.442.1 | 54 | |||
27.4 | even | 9 | 5103.2.a.i.1.25 | 27 | |||
27.11 | odd | 18 | 567.2.v.b.127.1 | 54 | |||
27.16 | even | 9 | inner | 189.2.v.a.43.9 | yes | 54 | |
27.23 | odd | 18 | 5103.2.a.f.1.3 | 27 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.v.a.22.9 | ✓ | 54 | 1.1 | even | 1 | trivial | |
189.2.v.a.43.9 | yes | 54 | 27.16 | even | 9 | inner | |
567.2.v.b.127.1 | 54 | 27.11 | odd | 18 | |||
567.2.v.b.442.1 | 54 | 3.2 | odd | 2 | |||
5103.2.a.f.1.3 | 27 | 27.23 | odd | 18 | |||
5103.2.a.i.1.25 | 27 | 27.4 | even | 9 |