Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [138,2,Mod(13,138)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(138, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("138.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 138 = 2 \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 138.e (of order \(11\), degree \(10\), 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: | \(1.10193554789\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\Q(\zeta_{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \)
|
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 25.1 | ||
Root | \(-0.841254 - 0.540641i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 138.25 |
Dual form | 138.2.e.b.127.1 |
$q$-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 \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(97\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.841254 | + | 0.540641i | 0.594856 | + | 0.382291i | ||||
\(3\) | 0.142315 | + | 0.989821i | 0.0821655 | + | 0.571474i | ||||
\(4\) | 0.415415 | + | 0.909632i | 0.207708 | + | 0.454816i | ||||
\(5\) | 0.186393 | + | 0.0547299i | 0.0833574 | + | 0.0244759i | 0.323145 | − | 0.946349i | \(-0.395260\pi\) |
−0.239788 | + | 0.970825i | \(0.577078\pi\) | |||||||
\(6\) | −0.415415 | + | 0.909632i | −0.169592 | + | 0.371356i | ||||
\(7\) | −1.27819 | + | 1.47511i | −0.483110 | + | 0.557539i | −0.944012 | − | 0.329913i | \(-0.892981\pi\) |
0.460901 | + | 0.887451i | \(0.347526\pi\) | |||||||
\(8\) | −0.142315 | + | 0.989821i | −0.0503159 | + | 0.349955i | ||||
\(9\) | −0.959493 | + | 0.281733i | −0.319831 | + | 0.0939109i | ||||
\(10\) | 0.127214 | + | 0.146813i | 0.0402287 | + | 0.0464264i | ||||
\(11\) | 5.30154 | − | 3.40709i | 1.59847 | − | 1.02728i | 0.630512 | − | 0.776180i | \(-0.282845\pi\) |
0.967962 | − | 0.251097i | \(-0.0807913\pi\) | |||||||
\(12\) | −0.841254 | + | 0.540641i | −0.242849 | + | 0.156070i | ||||
\(13\) | −3.15177 | − | 3.63733i | −0.874143 | − | 1.00881i | −0.999860 | − | 0.0167483i | \(-0.994669\pi\) |
0.125717 | − | 0.992066i | \(-0.459877\pi\) | |||||||
\(14\) | −1.87279 | + | 0.549899i | −0.500523 | + | 0.146967i | ||||
\(15\) | −0.0276463 | + | 0.192284i | −0.00713825 | + | 0.0496476i | ||||
\(16\) | −0.654861 | + | 0.755750i | −0.163715 | + | 0.188937i | ||||
\(17\) | −1.33259 | + | 2.91797i | −0.323201 | + | 0.707712i | −0.999584 | − | 0.0288381i | \(-0.990819\pi\) |
0.676383 | + | 0.736550i | \(0.263547\pi\) | |||||||
\(18\) | −0.959493 | − | 0.281733i | −0.226155 | − | 0.0664050i | ||||
\(19\) | 0.357028 | + | 0.781782i | 0.0819078 | + | 0.179353i | 0.946155 | − | 0.323715i | \(-0.104932\pi\) |
−0.864247 | + | 0.503068i | \(0.832205\pi\) | |||||||
\(20\) | 0.0276463 | + | 0.192284i | 0.00618191 | + | 0.0429961i | ||||
\(21\) | −1.64200 | − | 1.05525i | −0.358314 | − | 0.230274i | ||||
\(22\) | 6.30195 | 1.34358 | ||||||||
\(23\) | 3.37782 | − | 3.40446i | 0.704324 | − | 0.709878i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | −4.17452 | − | 2.68280i | −0.834904 | − | 0.536560i | ||||
\(26\) | −0.684944 | − | 4.76389i | −0.134329 | − | 0.934276i | ||||
\(27\) | −0.415415 | − | 0.909632i | −0.0799467 | − | 0.175059i | ||||
\(28\) | −1.87279 | − | 0.549899i | −0.353923 | − | 0.103921i | ||||
\(29\) | 2.25047 | − | 4.92785i | 0.417902 | − | 0.915079i | −0.577235 | − | 0.816578i | \(-0.695868\pi\) |
0.995137 | − | 0.0985003i | \(-0.0314045\pi\) | |||||||
\(30\) | −0.127214 | + | 0.146813i | −0.0232261 | + | 0.0268043i | ||||
\(31\) | 0.144265 | − | 1.00339i | 0.0259108 | − | 0.180214i | −0.972756 | − | 0.231831i | \(-0.925528\pi\) |
0.998667 | + | 0.0516171i | \(0.0164375\pi\) | |||||||
\(32\) | −0.959493 | + | 0.281733i | −0.169616 | + | 0.0498038i | ||||
\(33\) | 4.12690 | + | 4.76270i | 0.718401 | + | 0.829079i | ||||
\(34\) | −2.69862 | + | 1.73430i | −0.462810 | + | 0.297430i | ||||
\(35\) | −0.318978 | + | 0.204995i | −0.0539171 | + | 0.0346504i | ||||
\(36\) | −0.654861 | − | 0.755750i | −0.109143 | − | 0.125958i | ||||
\(37\) | −6.61126 | + | 1.94124i | −1.08688 | + | 0.319138i | −0.775630 | − | 0.631188i | \(-0.782567\pi\) |
−0.311255 | + | 0.950326i | \(0.600749\pi\) | |||||||
\(38\) | −0.122312 | + | 0.850701i | −0.0198417 | + | 0.138002i | ||||
\(39\) | 3.15177 | − | 3.63733i | 0.504687 | − | 0.582439i | ||||
\(40\) | −0.0806993 | + | 0.176707i | −0.0127597 | + | 0.0279398i | ||||
\(41\) | 0.932638 | + | 0.273847i | 0.145654 | + | 0.0427677i | 0.353747 | − | 0.935341i | \(-0.384908\pi\) |
−0.208093 | + | 0.978109i | \(0.566726\pi\) | |||||||
\(42\) | −0.810827 | − | 1.77546i | −0.125113 | − | 0.273960i | ||||
\(43\) | 0.731899 | + | 5.09047i | 0.111614 | + | 0.776290i | 0.966351 | + | 0.257228i | \(0.0828093\pi\) |
−0.854737 | + | 0.519061i | \(0.826282\pi\) | |||||||
\(44\) | 5.30154 | + | 3.40709i | 0.799237 | + | 0.513638i | ||||
\(45\) | −0.194262 | −0.0289588 | ||||||||
\(46\) | 4.68219 | − | 1.03782i | 0.690352 | − | 0.153019i | ||||
\(47\) | −7.41216 | −1.08117 | −0.540587 | − | 0.841288i | \(-0.681798\pi\) | ||||
−0.540587 | + | 0.841288i | \(0.681798\pi\) | |||||||
\(48\) | −0.841254 | − | 0.540641i | −0.121424 | − | 0.0780348i | ||||
\(49\) | 0.454025 | + | 3.15781i | 0.0648607 | + | 0.451116i | ||||
\(50\) | −2.06140 | − | 4.51383i | −0.291526 | − | 0.638352i | ||||
\(51\) | −3.07792 | − | 0.903759i | −0.430995 | − | 0.126552i | ||||
\(52\) | 1.99934 | − | 4.37795i | 0.277259 | − | 0.607112i | ||||
\(53\) | −1.31494 | + | 1.51752i | −0.180621 | + | 0.208447i | −0.838839 | − | 0.544380i | \(-0.816765\pi\) |
0.658218 | + | 0.752827i | \(0.271310\pi\) | |||||||
\(54\) | 0.142315 | − | 0.989821i | 0.0193666 | − | 0.134698i | ||||
\(55\) | 1.17464 | − | 0.344905i | 0.158388 | − | 0.0465070i | ||||
\(56\) | −1.27819 | − | 1.47511i | −0.170805 | − | 0.197120i | ||||
\(57\) | −0.723014 | + | 0.464653i | −0.0957656 | + | 0.0615448i | ||||
\(58\) | 4.55742 | − | 2.92887i | 0.598418 | − | 0.384580i | ||||
\(59\) | 5.63325 | + | 6.50112i | 0.733387 | + | 0.846373i | 0.992849 | − | 0.119380i | \(-0.0380907\pi\) |
−0.259462 | + | 0.965753i | \(0.583545\pi\) | |||||||
\(60\) | −0.186393 | + | 0.0547299i | −0.0240632 | + | 0.00706560i | ||||
\(61\) | −1.72487 | + | 11.9968i | −0.220848 | + | 1.53603i | 0.513996 | + | 0.857792i | \(0.328165\pi\) |
−0.734844 | + | 0.678236i | \(0.762745\pi\) | |||||||
\(62\) | 0.663836 | − | 0.766107i | 0.0843072 | − | 0.0972957i | ||||
\(63\) | 0.810827 | − | 1.77546i | 0.102155 | − | 0.223687i | ||||
\(64\) | −0.959493 | − | 0.281733i | −0.119937 | − | 0.0352166i | ||||
\(65\) | −0.388396 | − | 0.850468i | −0.0481746 | − | 0.105488i | ||||
\(66\) | 0.896861 | + | 6.23781i | 0.110396 | + | 0.767821i | ||||
\(67\) | 5.96723 | + | 3.83491i | 0.729014 | + | 0.468509i | 0.851762 | − | 0.523929i | \(-0.175534\pi\) |
−0.122748 | + | 0.992438i | \(0.539171\pi\) | |||||||
\(68\) | −3.20786 | −0.389010 | ||||||||
\(69\) | 3.85052 | + | 2.85894i | 0.463548 | + | 0.344175i | ||||
\(70\) | −0.379170 | −0.0453194 | ||||||||
\(71\) | 0.933267 | + | 0.599775i | 0.110758 | + | 0.0711801i | 0.594847 | − | 0.803839i | \(-0.297212\pi\) |
−0.484089 | + | 0.875019i | \(0.660849\pi\) | |||||||
\(72\) | −0.142315 | − | 0.989821i | −0.0167720 | − | 0.116652i | ||||
\(73\) | −5.47763 | − | 11.9943i | −0.641109 | − | 1.40383i | −0.899125 | − | 0.437692i | \(-0.855796\pi\) |
0.258017 | − | 0.966141i | \(-0.416931\pi\) | |||||||
\(74\) | −6.61126 | − | 1.94124i | −0.768543 | − | 0.225665i | ||||
\(75\) | 2.06140 | − | 4.51383i | 0.238030 | − | 0.521212i | ||||
\(76\) | −0.562819 | + | 0.649528i | −0.0645598 | + | 0.0745060i | ||||
\(77\) | −1.75054 | + | 12.1753i | −0.199492 | + | 1.38750i | ||||
\(78\) | 4.61792 | − | 1.35595i | 0.522877 | − | 0.153531i | ||||
\(79\) | −0.739858 | − | 0.853842i | −0.0832405 | − | 0.0960647i | 0.712601 | − | 0.701569i | \(-0.247517\pi\) |
−0.795842 | + | 0.605504i | \(0.792971\pi\) | |||||||
\(80\) | −0.163423 | + | 0.105026i | −0.0182713 | + | 0.0117422i | ||||
\(81\) | 0.841254 | − | 0.540641i | 0.0934726 | − | 0.0600712i | ||||
\(82\) | 0.636532 | + | 0.734597i | 0.0702932 | + | 0.0811227i | ||||
\(83\) | −3.84482 | + | 1.12894i | −0.422024 | + | 0.123918i | −0.485847 | − | 0.874044i | \(-0.661489\pi\) |
0.0638230 | + | 0.997961i | \(0.479671\pi\) | |||||||
\(84\) | 0.277777 | − | 1.93198i | 0.0303080 | − | 0.210797i | ||||
\(85\) | −0.408086 | + | 0.470956i | −0.0442631 | + | 0.0510824i | ||||
\(86\) | −2.13640 | + | 4.67807i | −0.230374 | + | 0.504450i | ||||
\(87\) | 5.19797 | + | 1.52626i | 0.557281 | + | 0.163632i | ||||
\(88\) | 2.61792 | + | 5.73246i | 0.279072 | + | 0.611082i | ||||
\(89\) | 1.35933 | + | 9.45436i | 0.144089 | + | 1.00216i | 0.925663 | + | 0.378348i | \(0.123508\pi\) |
−0.781575 | + | 0.623812i | \(0.785583\pi\) | |||||||
\(90\) | −0.163423 | − | 0.105026i | −0.0172263 | − | 0.0110707i | ||||
\(91\) | 9.39402 | 0.984760 | ||||||||
\(92\) | 4.50000 | + | 1.65831i | 0.469157 | + | 0.172891i | ||||
\(93\) | 1.01371 | 0.105116 | ||||||||
\(94\) | −6.23551 | − | 4.00732i | −0.643143 | − | 0.413323i | ||||
\(95\) | 0.0237606 | + | 0.165259i | 0.00243779 | + | 0.0169552i | ||||
\(96\) | −0.415415 | − | 0.909632i | −0.0423981 | − | 0.0928389i | ||||
\(97\) | 1.07554 | + | 0.315806i | 0.109204 | + | 0.0320653i | 0.335878 | − | 0.941905i | \(-0.390967\pi\) |
−0.226674 | + | 0.973971i | \(0.572785\pi\) | |||||||
\(98\) | −1.32529 | + | 2.90199i | −0.133875 | + | 0.293145i | ||||
\(99\) | −4.12690 | + | 4.76270i | −0.414769 | + | 0.478669i | ||||
\(100\) | 0.706204 | − | 4.91175i | 0.0706204 | − | 0.491175i | ||||
\(101\) | −12.0622 | + | 3.54178i | −1.20023 | + | 0.352420i | −0.819942 | − | 0.572447i | \(-0.805994\pi\) |
−0.380290 | + | 0.924867i | \(0.624176\pi\) | |||||||
\(102\) | −2.10070 | − | 2.42434i | −0.208000 | − | 0.240045i | ||||
\(103\) | 16.3172 | − | 10.4864i | 1.60778 | − | 1.03326i | 0.644560 | − | 0.764553i | \(-0.277040\pi\) |
0.963222 | − | 0.268706i | \(-0.0865959\pi\) | |||||||
\(104\) | 4.04885 | − | 2.60204i | 0.397023 | − | 0.255151i | ||||
\(105\) | −0.248303 | − | 0.286557i | −0.0242319 | − | 0.0279651i | ||||
\(106\) | −1.92663 | + | 0.565710i | −0.187131 | + | 0.0549466i | ||||
\(107\) | −0.437753 | + | 3.04464i | −0.0423191 | + | 0.294336i | 0.957660 | + | 0.287901i | \(0.0929574\pi\) |
−0.999979 | + | 0.00643501i | \(0.997952\pi\) | |||||||
\(108\) | 0.654861 | − | 0.755750i | 0.0630140 | − | 0.0727220i | ||||
\(109\) | 0.809766 | − | 1.77314i | 0.0775615 | − | 0.169836i | −0.866879 | − | 0.498519i | \(-0.833877\pi\) |
0.944440 | + | 0.328683i | \(0.106605\pi\) | |||||||
\(110\) | 1.17464 | + | 0.344905i | 0.111997 | + | 0.0328854i | ||||
\(111\) | −2.86236 | − | 6.26770i | −0.271683 | − | 0.594904i | ||||
\(112\) | −0.277777 | − | 1.93198i | −0.0262475 | − | 0.182555i | ||||
\(113\) | −14.4268 | − | 9.27157i | −1.35716 | − | 0.872196i | −0.359034 | − | 0.933325i | \(-0.616894\pi\) |
−0.998130 | + | 0.0611286i | \(0.980530\pi\) | |||||||
\(114\) | −0.859449 | −0.0804947 | ||||||||
\(115\) | 0.815927 | − | 0.449698i | 0.0760856 | − | 0.0419346i | ||||
\(116\) | 5.41741 | 0.502994 | ||||||||
\(117\) | 4.04885 | + | 2.60204i | 0.374317 | + | 0.240559i | ||||
\(118\) | 1.22422 | + | 8.51465i | 0.112699 | + | 0.783837i | ||||
\(119\) | −2.60102 | − | 5.69544i | −0.238435 | − | 0.522100i | ||||
\(120\) | −0.186393 | − | 0.0547299i | −0.0170153 | − | 0.00499613i | ||||
\(121\) | 11.9285 | − | 26.1197i | 1.08441 | − | 2.37452i | ||||
\(122\) | −7.93700 | + | 9.15979i | −0.718582 | + | 0.829288i | ||||
\(123\) | −0.138332 | + | 0.962117i | −0.0124729 | + | 0.0867512i | ||||
\(124\) | 0.972643 | − | 0.285594i | 0.0873459 | − | 0.0256471i | ||||
\(125\) | −1.26734 | − | 1.46259i | −0.113355 | − | 0.130818i | ||||
\(126\) | 1.64200 | − | 1.05525i | 0.146281 | − | 0.0940091i | ||||
\(127\) | −18.1810 | + | 11.6842i | −1.61330 | + | 1.03681i | −0.653190 | + | 0.757194i | \(0.726570\pi\) |
−0.960113 | + | 0.279613i | \(0.909794\pi\) | |||||||
\(128\) | −0.654861 | − | 0.755750i | −0.0578821 | − | 0.0667995i | ||||
\(129\) | −4.93450 | + | 1.44890i | −0.434458 | + | 0.127568i | ||||
\(130\) | 0.133058 | − | 0.925442i | 0.0116700 | − | 0.0811666i | ||||
\(131\) | 9.79482 | − | 11.3038i | 0.855777 | − | 0.987620i | −0.144221 | − | 0.989546i | \(-0.546068\pi\) |
0.999998 | + | 0.00192587i | \(0.000613023\pi\) | |||||||
\(132\) | −2.61792 | + | 5.73246i | −0.227861 | + | 0.498946i | ||||
\(133\) | −1.60956 | − | 0.472610i | −0.139567 | − | 0.0409805i | ||||
\(134\) | 2.94665 | + | 6.45226i | 0.254552 | + | 0.557390i | ||||
\(135\) | −0.0276463 | − | 0.192284i | −0.00237942 | − | 0.0165492i | ||||
\(136\) | −2.69862 | − | 1.73430i | −0.231405 | − | 0.148715i | ||||
\(137\) | 18.1570 | 1.55126 | 0.775628 | − | 0.631190i | \(-0.217433\pi\) | ||||
0.775628 | + | 0.631190i | \(0.217433\pi\) | |||||||
\(138\) | 1.69360 | + | 4.48684i | 0.144169 | + | 0.381945i | ||||
\(139\) | −7.36718 | −0.624876 | −0.312438 | − | 0.949938i | \(-0.601146\pi\) | ||||
−0.312438 | + | 0.949938i | \(0.601146\pi\) | |||||||
\(140\) | −0.318978 | − | 0.204995i | −0.0269585 | − | 0.0173252i | ||||
\(141\) | −1.05486 | − | 7.33672i | −0.0888353 | − | 0.617863i | ||||
\(142\) | 0.460852 | + | 1.00912i | 0.0386738 | + | 0.0846839i | ||||
\(143\) | −29.1019 | − | 8.54510i | −2.43363 | − | 0.714577i | ||||
\(144\) | 0.415415 | − | 0.909632i | 0.0346179 | − | 0.0758027i | ||||
\(145\) | 0.689173 | − | 0.795348i | 0.0572327 | − | 0.0660500i | ||||
\(146\) | 1.87655 | − | 13.0517i | 0.155305 | − | 1.08017i | ||||
\(147\) | −3.06106 | + | 0.898807i | −0.252472 | + | 0.0741324i | ||||
\(148\) | −4.51223 | − | 5.20739i | −0.370903 | − | 0.428045i | ||||
\(149\) | 13.1516 | − | 8.45201i | 1.07742 | − | 0.692415i | 0.123459 | − | 0.992350i | \(-0.460601\pi\) |
0.953960 | + | 0.299934i | \(0.0969648\pi\) | |||||||
\(150\) | 4.17452 | − | 2.68280i | 0.340848 | − | 0.219050i | ||||
\(151\) | −13.5583 | − | 15.6472i | −1.10336 | − | 1.27335i | −0.958871 | − | 0.283842i | \(-0.908391\pi\) |
−0.144491 | − | 0.989506i | \(-0.546154\pi\) | |||||||
\(152\) | −0.824635 | + | 0.242135i | −0.0668867 | + | 0.0196397i | ||||
\(153\) | 0.456526 | − | 3.17521i | 0.0369080 | − | 0.256700i | ||||
\(154\) | −8.05509 | + | 9.29606i | −0.649097 | + | 0.749098i | ||||
\(155\) | 0.0818052 | − | 0.179129i | 0.00657076 | − | 0.0143879i | ||||
\(156\) | 4.61792 | + | 1.35595i | 0.369730 | + | 0.108562i | ||||
\(157\) | −1.65182 | − | 3.61698i | −0.131830 | − | 0.288666i | 0.832193 | − | 0.554485i | \(-0.187085\pi\) |
−0.964023 | + | 0.265819i | \(0.914358\pi\) | |||||||
\(158\) | −0.160787 | − | 1.11829i | −0.0127915 | − | 0.0889668i | ||||
\(159\) | −1.68921 | − | 1.08559i | −0.133963 | − | 0.0860928i | ||||
\(160\) | −0.194262 | −0.0153577 | ||||||||
\(161\) | 0.704449 | + | 9.33420i | 0.0555183 | + | 0.735638i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | 20.6215 | + | 13.2526i | 1.61520 | + | 1.03803i | 0.958985 | + | 0.283455i | \(0.0914807\pi\) |
0.656217 | + | 0.754572i | \(0.272156\pi\) | |||||||
\(164\) | 0.138332 | + | 0.962117i | 0.0108019 | + | 0.0751288i | ||||
\(165\) | 0.508563 | + | 1.11360i | 0.0395915 | + | 0.0866934i | ||||
\(166\) | −3.84482 | − | 1.12894i | −0.298416 | − | 0.0876229i | ||||
\(167\) | −0.811902 | + | 1.77782i | −0.0628268 | + | 0.137572i | −0.938441 | − | 0.345440i | \(-0.887730\pi\) |
0.875614 | + | 0.483011i | \(0.160457\pi\) | |||||||
\(168\) | 1.27819 | − | 1.47511i | 0.0986145 | − | 0.113807i | ||||
\(169\) | −1.44646 | + | 10.0604i | −0.111266 | + | 0.773874i | ||||
\(170\) | −0.597922 | + | 0.175566i | −0.0458585 | + | 0.0134653i | ||||
\(171\) | −0.562819 | − | 0.649528i | −0.0430399 | − | 0.0496706i | ||||
\(172\) | −4.32641 | + | 2.78042i | −0.329886 | + | 0.212005i | ||||
\(173\) | 5.16669 | − | 3.32043i | 0.392816 | − | 0.252447i | −0.329292 | − | 0.944228i | \(-0.606810\pi\) |
0.722108 | + | 0.691781i | \(0.243174\pi\) | |||||||
\(174\) | 3.54765 | + | 4.09421i | 0.268947 | + | 0.310381i | ||||
\(175\) | 9.29325 | − | 2.72875i | 0.702504 | − | 0.206274i | ||||
\(176\) | −0.896861 | + | 6.23781i | −0.0676034 | + | 0.470192i | ||||
\(177\) | −5.63325 | + | 6.50112i | −0.423421 | + | 0.488654i | ||||
\(178\) | −3.96787 | + | 8.68842i | −0.297404 | + | 0.651225i | ||||
\(179\) | −6.20879 | − | 1.82307i | −0.464067 | − | 0.136262i | 0.0413370 | − | 0.999145i | \(-0.486838\pi\) |
−0.505404 | + | 0.862883i | \(0.668656\pi\) | |||||||
\(180\) | −0.0806993 | − | 0.176707i | −0.00601497 | − | 0.0131709i | ||||
\(181\) | −0.464155 | − | 3.22827i | −0.0345004 | − | 0.239955i | 0.965273 | − | 0.261243i | \(-0.0841324\pi\) |
−0.999773 | + | 0.0212879i | \(0.993223\pi\) | |||||||
\(182\) | 7.90275 | + | 5.07879i | 0.585791 | + | 0.376465i | ||||
\(183\) | −12.1201 | −0.895946 | ||||||||
\(184\) | 2.88909 | + | 3.82794i | 0.212987 | + | 0.282200i | ||||
\(185\) | −1.33853 | −0.0984110 | ||||||||
\(186\) | 0.852783 | + | 0.548050i | 0.0625291 | + | 0.0401850i | ||||
\(187\) | 2.87700 | + | 20.0100i | 0.210387 | + | 1.46328i | ||||
\(188\) | −3.07912 | − | 6.74234i | −0.224568 | − | 0.491736i | ||||
\(189\) | 1.87279 | + | 0.549899i | 0.136225 | + | 0.0399993i | ||||
\(190\) | −0.0693569 | + | 0.151870i | −0.00503167 | + | 0.0110178i | ||||
\(191\) | 14.9659 | − | 17.2716i | 1.08290 | − | 1.24973i | 0.116359 | − | 0.993207i | \(-0.462878\pi\) |
0.966538 | − | 0.256523i | \(-0.0825768\pi\) | |||||||
\(192\) | 0.142315 | − | 0.989821i | 0.0102707 | − | 0.0714342i | ||||
\(193\) | 16.2552 | − | 4.77294i | 1.17007 | − | 0.343564i | 0.361733 | − | 0.932282i | \(-0.382185\pi\) |
0.808339 | + | 0.588718i | \(0.200367\pi\) | |||||||
\(194\) | 0.734062 | + | 0.847152i | 0.0527025 | + | 0.0608220i | ||||
\(195\) | 0.786537 | − | 0.505477i | 0.0563251 | − | 0.0361979i | ||||
\(196\) | −2.68384 | + | 1.72480i | −0.191703 | + | 0.123200i | ||||
\(197\) | −0.821721 | − | 0.948317i | −0.0585452 | − | 0.0675648i | 0.725722 | − | 0.687989i | \(-0.241506\pi\) |
−0.784267 | + | 0.620424i | \(0.786961\pi\) | |||||||
\(198\) | −6.04668 | + | 1.77546i | −0.429719 | + | 0.126177i | ||||
\(199\) | −3.53140 | + | 24.5614i | −0.250334 | + | 1.74111i | 0.345872 | + | 0.938282i | \(0.387583\pi\) |
−0.596206 | + | 0.802832i | \(0.703326\pi\) | |||||||
\(200\) | 3.24959 | − | 3.75023i | 0.229781 | − | 0.265181i | ||||
\(201\) | −2.94665 | + | 6.45226i | −0.207841 | + | 0.455107i | ||||
\(202\) | −12.0622 | − | 3.54178i | −0.848692 | − | 0.249198i | ||||
\(203\) | 4.39258 | + | 9.61842i | 0.308299 | + | 0.675081i | ||||
\(204\) | −0.456526 | − | 3.17521i | −0.0319632 | − | 0.222309i | ||||
\(205\) | 0.158849 | + | 0.102086i | 0.0110945 | + | 0.00713002i | ||||
\(206\) | 19.3963 | 1.35140 | ||||||||
\(207\) | −2.28185 | + | 4.21819i | −0.158600 | + | 0.293185i | ||||
\(208\) | 4.81288 | 0.333713 | ||||||||
\(209\) | 4.55640 | + | 2.92822i | 0.315173 | + | 0.202549i | ||||
\(210\) | −0.0539615 | − | 0.375310i | −0.00372370 | − | 0.0258989i | ||||
\(211\) | 3.01519 | + | 6.60235i | 0.207575 | + | 0.454525i | 0.984572 | − | 0.174979i | \(-0.0559856\pi\) |
−0.776998 | + | 0.629503i | \(0.783258\pi\) | |||||||
\(212\) | −1.92663 | − | 0.565710i | −0.132321 | − | 0.0388531i | ||||
\(213\) | −0.460852 | + | 1.00912i | −0.0315771 | + | 0.0691441i | ||||
\(214\) | −2.01432 | + | 2.32464i | −0.137696 | + | 0.158909i | ||||
\(215\) | −0.142180 | + | 0.988884i | −0.00969660 | + | 0.0674413i | ||||
\(216\) | 0.959493 | − | 0.281733i | 0.0652852 | − | 0.0191695i | ||||
\(217\) | 1.29571 | + | 1.49533i | 0.0879583 | + | 0.101509i | ||||
\(218\) | 1.63985 | − | 1.05387i | 0.111065 | − | 0.0713769i | ||||
\(219\) | 11.0927 | − | 7.12885i | 0.749576 | − | 0.481723i | ||||
\(220\) | 0.801699 | + | 0.925210i | 0.0540505 | + | 0.0623776i | ||||
\(221\) | 14.8137 | − | 4.34968i | 0.996474 | − | 0.292591i | ||||
\(222\) | 0.980602 | − | 6.82023i | 0.0658137 | − | 0.457744i | ||||
\(223\) | −13.5780 | + | 15.6698i | −0.909250 | + | 1.04933i | 0.0893275 | + | 0.996002i | \(0.471528\pi\) |
−0.998577 | + | 0.0533276i | \(0.983017\pi\) | |||||||
\(224\) | 0.810827 | − | 1.77546i | 0.0541757 | − | 0.118628i | ||||
\(225\) | 4.76126 | + | 1.39803i | 0.317417 | + | 0.0932021i | ||||
\(226\) | −7.12405 | − | 15.5995i | −0.473884 | − | 1.03766i | ||||
\(227\) | 2.99578 | + | 20.8361i | 0.198837 | + | 1.38294i | 0.807666 | + | 0.589640i | \(0.200730\pi\) |
−0.608829 | + | 0.793301i | \(0.708361\pi\) | |||||||
\(228\) | −0.723014 | − | 0.464653i | −0.0478828 | − | 0.0307724i | ||||
\(229\) | −1.91595 | −0.126609 | −0.0633047 | − | 0.997994i | \(-0.520164\pi\) | ||||
−0.0633047 | + | 0.997994i | \(0.520164\pi\) | |||||||
\(230\) | 0.929527 | + | 0.0628131i | 0.0612912 | + | 0.00414177i | ||||
\(231\) | −12.3005 | −0.809311 | ||||||||
\(232\) | 4.55742 | + | 2.92887i | 0.299209 | + | 0.192290i | ||||
\(233\) | 2.05368 | + | 14.2837i | 0.134541 | + | 0.935756i | 0.939530 | + | 0.342466i | \(0.111262\pi\) |
−0.804989 | + | 0.593290i | \(0.797829\pi\) | |||||||
\(234\) | 1.99934 | + | 4.37795i | 0.130701 | + | 0.286196i | ||||
\(235\) | −1.38157 | − | 0.405667i | −0.0901239 | − | 0.0264628i | ||||
\(236\) | −3.57349 | + | 7.82485i | −0.232614 | + | 0.509354i | ||||
\(237\) | 0.739858 | − | 0.853842i | 0.0480589 | − | 0.0554630i | ||||
\(238\) | 0.891070 | − | 6.19753i | 0.0577595 | − | 0.401726i | ||||
\(239\) | 9.41935 | − | 2.76577i | 0.609287 | − | 0.178903i | 0.0374888 | − | 0.999297i | \(-0.488064\pi\) |
0.571798 | + | 0.820394i | \(0.306246\pi\) | |||||||
\(240\) | −0.127214 | − | 0.146813i | −0.00821165 | − | 0.00947675i | ||||
\(241\) | −12.5379 | + | 8.05765i | −0.807640 | + | 0.519039i | −0.878101 | − | 0.478476i | \(-0.841189\pi\) |
0.0704608 | + | 0.997515i | \(0.477553\pi\) | |||||||
\(242\) | 24.1562 | − | 15.5243i | 1.55282 | − | 0.997938i | ||||
\(243\) | 0.654861 | + | 0.755750i | 0.0420093 | + | 0.0484814i | ||||
\(244\) | −11.6292 | + | 3.41464i | −0.744482 | + | 0.218600i | ||||
\(245\) | −0.0881997 | + | 0.613442i | −0.00563487 | + | 0.0391914i | ||||
\(246\) | −0.636532 | + | 0.734597i | −0.0405838 | + | 0.0468362i | ||||
\(247\) | 1.71833 | − | 3.76262i | 0.109335 | − | 0.239410i | ||||
\(248\) | 0.972643 | + | 0.285594i | 0.0617629 | + | 0.0181352i | ||||
\(249\) | −1.66463 | − | 3.64502i | −0.105491 | − | 0.230994i | ||||
\(250\) | −0.275420 | − | 1.91559i | −0.0174191 | − | 0.121152i | ||||
\(251\) | −1.80424 | − | 1.15952i | −0.113883 | − | 0.0731880i | 0.482460 | − | 0.875918i | \(-0.339744\pi\) |
−0.596342 | + | 0.802730i | \(0.703380\pi\) | |||||||
\(252\) | 1.95185 | 0.122955 | ||||||||
\(253\) | 6.30836 | − | 29.5574i | 0.396603 | − | 1.85826i | ||||
\(254\) | −21.6118 | −1.35604 | ||||||||
\(255\) | −0.524239 | − | 0.336908i | −0.0328291 | − | 0.0210980i | ||||
\(256\) | −0.142315 | − | 0.989821i | −0.00889468 | − | 0.0618638i | ||||
\(257\) | −6.58383 | − | 14.4166i | −0.410688 | − | 0.899281i | −0.996074 | − | 0.0885261i | \(-0.971784\pi\) |
0.585386 | − | 0.810755i | \(-0.300943\pi\) | |||||||
\(258\) | −4.93450 | − | 1.44890i | −0.307208 | − | 0.0902045i | ||||
\(259\) | 5.58690 | − | 12.2336i | 0.347153 | − | 0.760159i | ||||
\(260\) | 0.612268 | − | 0.706595i | 0.0379712 | − | 0.0438211i | ||||
\(261\) | −0.770978 | + | 5.36227i | −0.0477223 | + | 0.331916i | ||||
\(262\) | 14.3512 | − | 4.21390i | 0.886622 | − | 0.260336i | ||||
\(263\) | −0.0855299 | − | 0.0987067i | −0.00527400 | − | 0.00608652i | 0.753106 | − | 0.657899i | \(-0.228555\pi\) |
−0.758380 | + | 0.651812i | \(0.774009\pi\) | |||||||
\(264\) | −5.30154 | + | 3.40709i | −0.326287 | + | 0.209692i | ||||
\(265\) | −0.328149 | + | 0.210888i | −0.0201580 | + | 0.0129548i | ||||
\(266\) | −1.09854 | − | 1.26778i | −0.0673557 | − | 0.0777326i | ||||
\(267\) | −9.16467 | + | 2.69099i | −0.560869 | + | 0.164686i | ||||
\(268\) | −1.00948 | + | 7.02107i | −0.0616636 | + | 0.428880i | ||||
\(269\) | 15.6962 | − | 18.1144i | 0.957016 | − | 1.10446i | −0.0374396 | − | 0.999299i | \(-0.511920\pi\) |
0.994456 | − | 0.105157i | \(-0.0335344\pi\) | |||||||
\(270\) | 0.0806993 | − | 0.176707i | 0.00491120 | − | 0.0107540i | ||||
\(271\) | −3.09137 | − | 0.907707i | −0.187787 | − | 0.0551393i | 0.186487 | − | 0.982457i | \(-0.440290\pi\) |
−0.374274 | + | 0.927318i | \(0.622108\pi\) | |||||||
\(272\) | −1.33259 | − | 2.91797i | −0.0808003 | − | 0.176928i | ||||
\(273\) | 1.33691 | + | 9.29840i | 0.0809133 | + | 0.562765i | ||||
\(274\) | 15.2746 | + | 9.81641i | 0.922775 | + | 0.593031i | ||||
\(275\) | −31.2719 | −1.88577 | ||||||||
\(276\) | −1.00102 | + | 4.69020i | −0.0602541 | + | 0.282317i | ||||
\(277\) | −13.0026 | −0.781250 | −0.390625 | − | 0.920550i | \(-0.627741\pi\) | ||||
−0.390625 | + | 0.920550i | \(0.627741\pi\) | |||||||
\(278\) | −6.19766 | − | 3.98300i | −0.371711 | − | 0.238884i | ||||
\(279\) | 0.144265 | + | 1.00339i | 0.00863694 | + | 0.0600712i | ||||
\(280\) | −0.157513 | − | 0.344905i | −0.00941319 | − | 0.0206120i | ||||
\(281\) | −9.32483 | − | 2.73802i | −0.556273 | − | 0.163336i | −0.00850036 | − | 0.999964i | \(-0.502706\pi\) |
−0.547772 | + | 0.836627i | \(0.684524\pi\) | |||||||
\(282\) | 3.07912 | − | 6.74234i | 0.183359 | − | 0.401500i | ||||
\(283\) | −13.0872 | + | 15.1035i | −0.777955 | + | 0.897808i | −0.996960 | − | 0.0779160i | \(-0.975173\pi\) |
0.219005 | + | 0.975724i | \(0.429719\pi\) | |||||||
\(284\) | −0.157881 | + | 1.09809i | −0.00936850 | + | 0.0651594i | ||||
\(285\) | −0.160195 | + | 0.0470375i | −0.00948913 | + | 0.00278626i | ||||
\(286\) | −19.8623 | − | 22.9223i | −1.17448 | − | 1.35542i | ||||
\(287\) | −1.59604 | + | 1.02571i | −0.0942114 | + | 0.0605460i | ||||
\(288\) | 0.841254 | − | 0.540641i | 0.0495713 | − | 0.0318576i | ||||
\(289\) | 4.39387 | + | 5.07080i | 0.258463 | + | 0.298282i | ||||
\(290\) | 1.00977 | − | 0.296494i | 0.0592955 | − | 0.0174107i | ||||
\(291\) | −0.159527 | + | 1.10953i | −0.00935163 | + | 0.0650420i | ||||
\(292\) | 8.63495 | − | 9.96526i | 0.505322 | − | 0.583173i | ||||
\(293\) | −7.42848 | + | 16.2661i | −0.433977 | + | 0.950276i | 0.558688 | + | 0.829378i | \(0.311305\pi\) |
−0.992665 | + | 0.120898i | \(0.961422\pi\) | |||||||
\(294\) | −3.06106 | − | 0.898807i | −0.178524 | − | 0.0524195i | ||||
\(295\) | 0.694192 | + | 1.52007i | 0.0404174 | + | 0.0885018i | ||||
\(296\) | −0.980602 | − | 6.82023i | −0.0569963 | − | 0.396418i | ||||
\(297\) | −5.30154 | − | 3.40709i | −0.307626 | − | 0.197699i | ||||
\(298\) | 15.6333 | 0.905613 | ||||||||
\(299\) | −23.0292 | − | 1.55621i | −1.33182 | − | 0.0899979i | ||||
\(300\) | 4.96226 | 0.286496 | ||||||||
\(301\) | −8.44451 | − | 5.42696i | −0.486733 | − | 0.312805i | ||||
\(302\) | −2.94651 | − | 20.4934i | −0.169553 | − | 1.17926i | ||||
\(303\) | −5.22235 | − | 11.4354i | −0.300016 | − | 0.656944i | ||||
\(304\) | −0.824635 | − | 0.242135i | −0.0472960 | − | 0.0138874i | ||||
\(305\) | −0.978086 | + | 2.14171i | −0.0560050 | + | 0.122634i | ||||
\(306\) | 2.10070 | − | 2.42434i | 0.120089 | − | 0.138590i | ||||
\(307\) | 1.78091 | − | 12.3865i | 0.101642 | − | 0.706935i | −0.873737 | − | 0.486399i | \(-0.838310\pi\) |
0.975379 | − | 0.220536i | \(-0.0707807\pi\) | |||||||
\(308\) | −11.8022 | + | 3.46544i | −0.672493 | + | 0.197462i | ||||
\(309\) | 12.7019 | + | 14.6588i | 0.722585 | + | 0.833907i | ||||
\(310\) | 0.165663 | − | 0.106465i | 0.00940903 | − | 0.00604682i | ||||
\(311\) | 4.59133 | − | 2.95067i | 0.260350 | − | 0.167317i | −0.403954 | − | 0.914779i | \(-0.632364\pi\) |
0.664304 | + | 0.747462i | \(0.268728\pi\) | |||||||
\(312\) | 3.15177 | + | 3.63733i | 0.178434 | + | 0.205923i | ||||
\(313\) | 22.9543 | − | 6.73999i | 1.29745 | − | 0.380967i | 0.441147 | − | 0.897435i | \(-0.354572\pi\) |
0.856307 | + | 0.516468i | \(0.172753\pi\) | |||||||
\(314\) | 0.565888 | − | 3.93584i | 0.0319349 | − | 0.222112i | ||||
\(315\) | 0.248303 | − | 0.286557i | 0.0139903 | − | 0.0161457i | ||||
\(316\) | 0.469334 | − | 1.02770i | 0.0264021 | − | 0.0578125i | ||||
\(317\) | 15.4695 | + | 4.54224i | 0.868852 | + | 0.255118i | 0.685627 | − | 0.727953i | \(-0.259528\pi\) |
0.183225 | + | 0.983071i | \(0.441346\pi\) | |||||||
\(318\) | −0.834139 | − | 1.82651i | −0.0467762 | − | 0.102426i | ||||
\(319\) | −4.85866 | − | 33.7927i | −0.272033 | − | 1.89203i | ||||
\(320\) | −0.163423 | − | 0.105026i | −0.00913565 | − | 0.00587112i | ||||
\(321\) | −3.07594 | −0.171682 | ||||||||
\(322\) | −4.45383 | + | 8.23328i | −0.248202 | + | 0.458823i | ||||
\(323\) | −2.75699 | −0.153403 | ||||||||
\(324\) | 0.841254 | + | 0.540641i | 0.0467363 | + | 0.0300356i | ||||
\(325\) | 3.39887 | + | 23.6397i | 0.188536 | + | 1.31129i | ||||
\(326\) | 10.1830 | + | 22.2977i | 0.563985 | + | 1.23495i | ||||
\(327\) | 1.87033 | + | 0.549179i | 0.103430 | + | 0.0303697i | ||||
\(328\) | −0.403788 | + | 0.884172i | −0.0222955 | + | 0.0488203i | ||||
\(329\) | 9.47415 | − | 10.9337i | 0.522327 | − | 0.602797i | ||||
\(330\) | −0.174226 | + | 1.21177i | −0.00959081 | + | 0.0667056i | ||||
\(331\) | 0.496914 | − | 0.145907i | 0.0273129 | − | 0.00801979i | −0.268048 | − | 0.963406i | \(-0.586378\pi\) |
0.295360 | + | 0.955386i | \(0.404560\pi\) | |||||||
\(332\) | −2.62412 | − | 3.02840i | −0.144017 | − | 0.166205i | ||||
\(333\) | 5.79655 | − | 3.72521i | 0.317649 | − | 0.204140i | ||||
\(334\) | −1.64418 | + | 1.05665i | −0.0899653 | + | 0.0578172i | ||||
\(335\) | 0.902365 | + | 1.04139i | 0.0493015 | + | 0.0568970i | ||||
\(336\) | 1.87279 | − | 0.549899i | 0.102169 | − | 0.0299995i | ||||
\(337\) | 0.0754437 | − | 0.524723i | 0.00410968 | − | 0.0285835i | −0.987663 | − | 0.156592i | \(-0.949949\pi\) |
0.991773 | + | 0.128008i | \(0.0408584\pi\) | |||||||
\(338\) | −6.65588 | + | 7.68130i | −0.362032 | + | 0.417808i | ||||
\(339\) | 7.12405 | − | 15.5995i | 0.386925 | − | 0.847248i | ||||
\(340\) | −0.597922 | − | 0.175566i | −0.0324269 | − | 0.00952139i | ||||
\(341\) | −2.65380 | − | 5.81102i | −0.143712 | − | 0.314684i | ||||
\(342\) | −0.122312 | − | 0.850701i | −0.00661389 | − | 0.0460006i | ||||
\(343\) | −16.7324 | − | 10.7533i | −0.903467 | − | 0.580623i | ||||
\(344\) | −5.14282 | −0.277282 | ||||||||
\(345\) | 0.561240 | + | 0.743623i | 0.0302161 | + | 0.0400353i | ||||
\(346\) | 6.14165 | 0.330177 | ||||||||
\(347\) | 22.5562 | + | 14.4960i | 1.21088 | + | 0.778185i | 0.980805 | − | 0.194989i | \(-0.0624670\pi\) |
0.230073 | + | 0.973173i | \(0.426103\pi\) | |||||||
\(348\) | 0.770978 | + | 5.36227i | 0.0413287 | + | 0.287448i | ||||
\(349\) | 0.605377 | + | 1.32559i | 0.0324051 | + | 0.0709573i | 0.925142 | − | 0.379620i | \(-0.123945\pi\) |
−0.892737 | + | 0.450578i | \(0.851218\pi\) | |||||||
\(350\) | 9.29325 | + | 2.72875i | 0.496745 | + | 0.145858i | ||||
\(351\) | −1.99934 | + | 4.37795i | −0.106717 | + | 0.233678i | ||||
\(352\) | −4.12690 | + | 4.76270i | −0.219964 | + | 0.253853i | ||||
\(353\) | −3.19550 | + | 22.2252i | −0.170079 | + | 1.18293i | 0.708634 | + | 0.705576i | \(0.249312\pi\) |
−0.878713 | + | 0.477350i | \(0.841597\pi\) | |||||||
\(354\) | −8.25376 | + | 2.42352i | −0.438682 | + | 0.128809i | ||||
\(355\) | 0.141129 | + | 0.162871i | 0.00749034 | + | 0.00864431i | ||||
\(356\) | −8.03530 | + | 5.16397i | −0.425870 | + | 0.273690i | ||||
\(357\) | 5.26731 | − | 3.38509i | 0.278775 | − | 0.179158i | ||||
\(358\) | −4.23754 | − | 4.89039i | −0.223961 | − | 0.258465i | ||||
\(359\) | −0.162153 | + | 0.0476124i | −0.00855811 | + | 0.00251289i | −0.286009 | − | 0.958227i | \(-0.592329\pi\) |
0.277451 | + | 0.960740i | \(0.410510\pi\) | |||||||
\(360\) | 0.0276463 | − | 0.192284i | 0.00145709 | − | 0.0101343i | ||||
\(361\) | 11.9586 | − | 13.8010i | 0.629402 | − | 0.726369i | ||||
\(362\) | 1.35486 | − | 2.96673i | 0.0712099 | − | 0.155928i | ||||
\(363\) | 27.5514 | + | 8.08983i | 1.44608 | + | 0.424606i | ||||
\(364\) | 3.90242 | + | 8.54510i | 0.204542 | + | 0.447885i | ||||
\(365\) | −0.364543 | − | 2.53545i | −0.0190810 | − | 0.132712i | ||||
\(366\) | −10.1961 | − | 6.55264i | −0.532959 | − | 0.342512i | ||||
\(367\) | 17.8312 | 0.930782 | 0.465391 | − | 0.885105i | \(-0.345914\pi\) | ||||
0.465391 | + | 0.885105i | \(0.345914\pi\) | |||||||
\(368\) | 0.360914 | + | 4.78223i | 0.0188139 | + | 0.249291i | ||||
\(369\) | −0.972011 | −0.0506009 | ||||||||
\(370\) | −1.12605 | − | 0.723667i | −0.0585404 | − | 0.0376216i | ||||
\(371\) | −0.557767 | − | 3.87936i | −0.0289578 | − | 0.201406i | ||||
\(372\) | 0.421108 | + | 0.922099i | 0.0218335 | + | 0.0478086i | ||||
\(373\) | 26.2789 | + | 7.71619i | 1.36067 | + | 0.399529i | 0.879000 | − | 0.476822i | \(-0.158211\pi\) |
0.481672 | + | 0.876352i | \(0.340030\pi\) | |||||||
\(374\) | −8.39794 | + | 18.3889i | −0.434247 | + | 0.950868i | ||||
\(375\) | 1.26734 | − | 1.46259i | 0.0654453 | − | 0.0755279i | ||||
\(376\) | 1.05486 | − | 7.33672i | 0.0544003 | − | 0.378362i | ||||
\(377\) | −25.0172 | + | 7.34571i | −1.28845 | + | 0.378323i | ||||
\(378\) | 1.27819 | + | 1.47511i | 0.0657430 | + | 0.0758714i | ||||
\(379\) | −2.30170 | + | 1.47921i | −0.118230 | + | 0.0759821i | −0.598420 | − | 0.801183i | \(-0.704204\pi\) |
0.480189 | + | 0.877165i | \(0.340568\pi\) | |||||||
\(380\) | −0.140454 | + | 0.0902643i | −0.00720514 | + | 0.00463046i | ||||
\(381\) | −14.1527 | − | 16.3331i | −0.725066 | − | 0.836770i | ||||
\(382\) | 21.9279 | − | 6.43861i | 1.12193 | − | 0.329428i | ||||
\(383\) | 2.05088 | − | 14.2642i | 0.104795 | − | 0.728867i | −0.867893 | − | 0.496751i | \(-0.834526\pi\) |
0.972688 | − | 0.232116i | \(-0.0745649\pi\) | |||||||
\(384\) | 0.654861 | − | 0.755750i | 0.0334182 | − | 0.0385667i | ||||
\(385\) | −0.992638 | + | 2.17357i | −0.0505895 | + | 0.110776i | ||||
\(386\) | 16.2552 | + | 4.77294i | 0.827365 | + | 0.242936i | ||||
\(387\) | −2.13640 | − | 4.67807i | −0.108600 | − | 0.237800i | ||||
\(388\) | 0.159527 | + | 1.10953i | 0.00809875 | + | 0.0563280i | ||||
\(389\) | 0.911952 | + | 0.586076i | 0.0462378 | + | 0.0297152i | 0.563556 | − | 0.826078i | \(-0.309433\pi\) |
−0.517318 | + | 0.855793i | \(0.673069\pi\) | |||||||
\(390\) | 0.934959 | 0.0473435 | ||||||||
\(391\) | 5.43285 | + | 14.3931i | 0.274751 | + | 0.727893i | ||||
\(392\) | −3.19028 | −0.161134 | ||||||||
\(393\) | 12.5827 | + | 8.08642i | 0.634714 | + | 0.407906i | ||||
\(394\) | −0.178577 | − | 1.24203i | −0.00899658 | − | 0.0625726i | ||||
\(395\) | −0.0911736 | − | 0.199642i | −0.00458744 | − | 0.0100451i | ||||
\(396\) | −6.04668 | − | 1.77546i | −0.303857 | − | 0.0892204i | ||||
\(397\) | −11.2262 | + | 24.5819i | −0.563427 | + | 1.23373i | 0.386797 | + | 0.922165i | \(0.373581\pi\) |
−0.950224 | + | 0.311568i | \(0.899146\pi\) | |||||||
\(398\) | −16.2497 | + | 18.7532i | −0.814524 | + | 0.940011i | ||||
\(399\) | 0.238735 | − | 1.66044i | 0.0119517 | − | 0.0831259i | ||||
\(400\) | 4.76126 | − | 1.39803i | 0.238063 | − | 0.0699015i | ||||
\(401\) | −6.07324 | − | 7.00889i | −0.303283 | − | 0.350007i | 0.583567 | − | 0.812065i | \(-0.301657\pi\) |
−0.886850 | + | 0.462058i | \(0.847111\pi\) | |||||||
\(402\) | −5.96723 | + | 3.83491i | −0.297619 | + | 0.191268i | ||||
\(403\) | −4.10434 | + | 2.63770i | −0.204452 | + | 0.131393i | ||||
\(404\) | −8.23252 | − | 9.50084i | −0.409583 | − | 0.472684i | ||||
\(405\) | 0.186393 | − | 0.0547299i | 0.00926193 | − | 0.00271955i | ||||
\(406\) | −1.50483 | + | 10.4663i | −0.0746836 | + | 0.519436i | ||||
\(407\) | −28.4359 | + | 32.8167i | −1.40951 | + | 1.62666i | ||||
\(408\) | 1.33259 | − | 2.91797i | 0.0659732 | − | 0.144461i | ||||
\(409\) | −35.2765 | − | 10.3581i | −1.74431 | − | 0.512175i | −0.754714 | − | 0.656054i | \(-0.772224\pi\) |
−0.989595 | + | 0.143879i | \(0.954042\pi\) | |||||||
\(410\) | 0.0784406 | + | 0.171761i | 0.00387390 | + | 0.00848267i | ||||
\(411\) | 2.58401 | + | 17.9722i | 0.127460 | + | 0.886502i | ||||
\(412\) | 16.3172 | + | 10.4864i | 0.803891 | + | 0.516630i | ||||
\(413\) | −16.7902 | −0.826193 | ||||||||
\(414\) | −4.20014 | + | 2.31491i | −0.206426 | + | 0.113772i | ||||
\(415\) | −0.778434 | −0.0382118 | ||||||||
\(416\) | 4.04885 | + | 2.60204i | 0.198511 | + | 0.127575i | ||||
\(417\) | −1.04846 | − | 7.29219i | −0.0513432 | − | 0.357100i | ||||
\(418\) | 2.24997 | + | 4.92675i | 0.110050 | + | 0.240975i | ||||
\(419\) | 25.4226 | + | 7.46473i | 1.24197 | + | 0.364676i | 0.835756 | − | 0.549101i | \(-0.185030\pi\) |
0.406217 | + | 0.913777i | \(0.366848\pi\) | |||||||
\(420\) | 0.157513 | − | 0.344905i | 0.00768584 | − | 0.0168296i | ||||
\(421\) | −6.51649 | + | 7.52043i | −0.317594 | + | 0.366523i | −0.891991 | − | 0.452054i | \(-0.850691\pi\) |
0.574396 | + | 0.818577i | \(0.305237\pi\) | |||||||
\(422\) | −1.03296 | + | 7.18439i | −0.0502837 | + | 0.349731i | ||||
\(423\) | 7.11192 | − | 2.08825i | 0.345793 | − | 0.101534i | ||||
\(424\) | −1.31494 | − | 1.51752i | −0.0638591 | − | 0.0736973i | ||||
\(425\) | 13.3913 | − | 8.60605i | 0.649572 | − | 0.417455i | ||||
\(426\) | −0.933267 | + | 0.599775i | −0.0452170 | + | 0.0290592i | ||||
\(427\) | −15.4918 | − | 17.8785i | −0.749702 | − | 0.865202i | ||||
\(428\) | −2.95135 | + | 0.866594i | −0.142659 | + | 0.0418884i | ||||
\(429\) | 4.31648 | − | 30.0218i | 0.208402 | − | 1.44947i | ||||
\(430\) | −0.654241 | + | 0.755034i | −0.0315503 | + | 0.0364110i | ||||
\(431\) | 3.64438 | − | 7.98009i | 0.175544 | − | 0.384387i | −0.801324 | − | 0.598230i | \(-0.795871\pi\) |
0.976868 | + | 0.213843i | \(0.0685981\pi\) | |||||||
\(432\) | 0.959493 | + | 0.281733i | 0.0461636 | + | 0.0135549i | ||||
\(433\) | −3.31942 | − | 7.26851i | −0.159521 | − | 0.349303i | 0.812947 | − | 0.582337i | \(-0.197862\pi\) |
−0.972468 | + | 0.233035i | \(0.925134\pi\) | |||||||
\(434\) | 0.281584 | + | 1.95846i | 0.0135165 | + | 0.0940091i | ||||
\(435\) | 0.885331 | + | 0.568968i | 0.0424484 | + | 0.0272799i | ||||
\(436\) | 1.94929 | 0.0933542 | ||||||||
\(437\) | 3.86752 | + | 1.42523i | 0.185008 | + | 0.0681782i | ||||
\(438\) | 13.1859 | 0.630048 | ||||||||
\(439\) | −1.18670 | − | 0.762644i | −0.0566380 | − | 0.0363990i | 0.512015 | − | 0.858976i | \(-0.328899\pi\) |
−0.568653 | + | 0.822577i | \(0.692535\pi\) | |||||||
\(440\) | 0.174226 | + | 1.21177i | 0.00830589 | + | 0.0577687i | ||||
\(441\) | −1.32529 | − | 2.90199i | −0.0631092 | − | 0.138190i | ||||
\(442\) | 14.8137 | + | 4.34968i | 0.704614 | + | 0.206893i | ||||
\(443\) | 5.23153 | − | 11.4554i | 0.248557 | − | 0.544265i | −0.743693 | − | 0.668522i | \(-0.766927\pi\) |
0.992250 | + | 0.124257i | \(0.0396547\pi\) | |||||||
\(444\) | 4.51223 | − | 5.20739i | 0.214141 | − | 0.247132i | ||||
\(445\) | −0.264066 | + | 1.83662i | −0.0125179 | + | 0.0870641i | ||||
\(446\) | −19.8943 | + | 5.84149i | −0.942022 | + | 0.276603i | ||||
\(447\) | 10.2376 | + | 11.8149i | 0.484224 | + | 0.558824i | ||||
\(448\) | 1.64200 | − | 1.05525i | 0.0775772 | − | 0.0498558i | ||||
\(449\) | −32.2649 | + | 20.7354i | −1.52267 | + | 0.978562i | −0.531344 | + | 0.847156i | \(0.678313\pi\) |
−0.991329 | + | 0.131406i | \(0.958051\pi\) | |||||||
\(450\) | 3.24959 | + | 3.75023i | 0.153187 | + | 0.176787i | ||||
\(451\) | 5.87744 | − | 1.72577i | 0.276758 | − | 0.0812634i | ||||
\(452\) | 2.44059 | − | 16.9747i | 0.114796 | − | 0.798421i | ||||
\(453\) | 13.5583 | − | 15.6472i | 0.637026 | − | 0.735168i | ||||
\(454\) | −8.74464 | + | 19.1481i | −0.410406 | + | 0.898664i | ||||
\(455\) | 1.75098 | + | 0.514133i | 0.0820871 | + | 0.0241029i | ||||
\(456\) | −0.357028 | − | 0.781782i | −0.0167194 | − | 0.0366103i | ||||
\(457\) | −3.79066 | − | 26.3646i | −0.177319 | − | 1.23328i | −0.862933 | − | 0.505318i | \(-0.831375\pi\) |
0.685614 | − | 0.727966i | \(-0.259534\pi\) | |||||||
\(458\) | −1.61180 | − | 1.03584i | −0.0753144 | − | 0.0484016i | ||||
\(459\) | 3.20786 | 0.149730 | ||||||||
\(460\) | 0.748008 | + | 0.555382i | 0.0348761 | + | 0.0258948i | ||||
\(461\) | 7.65301 | 0.356436 | 0.178218 | − | 0.983991i | \(-0.442967\pi\) | ||||
0.178218 | + | 0.983991i | \(0.442967\pi\) | |||||||
\(462\) | −10.3478 | − | 6.65013i | −0.481423 | − | 0.309392i | ||||
\(463\) | 0.590819 | + | 4.10924i | 0.0274577 | + | 0.190972i | 0.998934 | − | 0.0461649i | \(-0.0147000\pi\) |
−0.971476 | + | 0.237137i | \(0.923791\pi\) | |||||||
\(464\) | 2.25047 | + | 4.92785i | 0.104476 | + | 0.228770i | ||||
\(465\) | 0.188947 | + | 0.0554799i | 0.00876222 | + | 0.00257282i | ||||
\(466\) | −5.99468 | + | 13.1265i | −0.277698 | + | 0.608074i | ||||
\(467\) | 21.0312 | − | 24.2712i | 0.973206 | − | 1.12314i | −0.0191607 | − | 0.999816i | \(-0.506099\pi\) |
0.992367 | − | 0.123323i | \(-0.0393551\pi\) | |||||||
\(468\) | −0.684944 | + | 4.76389i | −0.0316616 | + | 0.220211i | ||||
\(469\) | −13.2842 | + | 3.90058i | −0.613406 | + | 0.180112i | ||||
\(470\) | −0.942934 | − | 1.08820i | −0.0434943 | − | 0.0501951i | ||||
\(471\) | 3.34509 | − | 2.14976i | 0.154133 | − | 0.0990555i | ||||
\(472\) | −7.23664 | + | 4.65071i | −0.333093 | + | 0.214066i | ||||
\(473\) | 21.2239 | + | 24.4937i | 0.975876 | + | 1.12622i | ||||
\(474\) | 1.08403 | − | 0.318300i | 0.0497911 | − | 0.0146200i | ||||
\(475\) | 0.606946 | − | 4.22140i | 0.0278486 | − | 0.193691i | ||||
\(476\) | 4.10025 | − | 4.73194i | 0.187935 | − | 0.216888i | ||||
\(477\) | 0.834139 | − | 1.82651i | 0.0381926 | − | 0.0836302i | ||||
\(478\) | 9.41935 | + | 2.76577i | 0.430831 | + | 0.126503i | ||||
\(479\) | 0.754017 | + | 1.65107i | 0.0344519 | + | 0.0754391i | 0.926076 | − | 0.377338i | \(-0.123161\pi\) |
−0.891624 | + | 0.452777i | \(0.850433\pi\) | |||||||
\(480\) | −0.0276463 | − | 0.192284i | −0.00126188 | − | 0.00877654i | ||||
\(481\) | 27.8981 | + | 17.9290i | 1.27204 | + | 0.817492i | ||||
\(482\) | −14.9039 | −0.678853 | ||||||||
\(483\) | −9.13893 | + | 2.02567i | −0.415836 | + | 0.0921713i | ||||
\(484\) | 28.7146 | 1.30521 | ||||||||
\(485\) | 0.183188 | + | 0.117728i | 0.00831815 | + | 0.00534575i | ||||
\(486\) | 0.142315 | + | 0.989821i | 0.00645553 | + | 0.0448992i | ||||
\(487\) | −6.72443 | − | 14.7245i | −0.304713 | − | 0.667229i | 0.693889 | − | 0.720082i | \(-0.255896\pi\) |
−0.998602 | + | 0.0528530i | \(0.983169\pi\) | |||||||
\(488\) | −11.6292 | − | 3.41464i | −0.526428 | − | 0.154573i | ||||
\(489\) | −10.1830 | + | 22.2977i | −0.460491 | + | 1.00834i | ||||
\(490\) | −0.405850 | + | 0.468376i | −0.0183344 | + | 0.0211591i | ||||
\(491\) | 0.202307 | − | 1.40708i | 0.00913000 | − | 0.0635006i | −0.984747 | − | 0.173992i | \(-0.944333\pi\) |
0.993877 | + | 0.110491i | \(0.0352424\pi\) | |||||||
\(492\) | −0.932638 | + | 0.273847i | −0.0420466 | + | 0.0123460i | ||||
\(493\) | 11.3804 | + | 13.1336i | 0.512546 | + | 0.591509i | ||||
\(494\) | 3.47978 | − | 2.23632i | 0.156563 | − | 0.100617i | ||||
\(495\) | −1.02989 | + | 0.661868i | −0.0462899 | + | 0.0297487i | ||||
\(496\) | 0.663836 | + | 0.766107i | 0.0298071 | + | 0.0343992i | ||||
\(497\) | −2.07763 | + | 0.610046i | −0.0931942 | + | 0.0273643i | ||||
\(498\) | 0.570276 | − | 3.96635i | 0.0255547 | − | 0.177737i | ||||
\(499\) | −13.4737 | + | 15.5495i | −0.603167 | + | 0.696092i | −0.972420 | − | 0.233237i | \(-0.925068\pi\) |
0.369253 | + | 0.929329i | \(0.379614\pi\) | |||||||
\(500\) | 0.803947 | − | 1.76040i | 0.0359536 | − | 0.0787274i | ||||
\(501\) | −1.87527 | − | 0.550628i | −0.0837808 | − | 0.0246002i | ||||
\(502\) | −0.890944 | − | 1.95089i | −0.0397648 | − | 0.0870727i | ||||
\(503\) | −2.10448 | − | 14.6370i | −0.0938342 | − | 0.652631i | −0.981403 | − | 0.191957i | \(-0.938517\pi\) |
0.887569 | − | 0.460674i | \(-0.152392\pi\) | |||||||
\(504\) | 1.64200 | + | 1.05525i | 0.0731405 | + | 0.0470045i | ||||
\(505\) | −2.44214 | −0.108674 | ||||||||
\(506\) | 21.2869 | − | 21.4547i | 0.946316 | − | 0.953778i | ||||
\(507\) | −10.1638 | −0.451391 | ||||||||
\(508\) | −18.1810 | − | 11.6842i | −0.806652 | − | 0.518403i | ||||
\(509\) | −4.71769 | − | 32.8122i | −0.209108 | − | 1.45438i | −0.776077 | − | 0.630638i | \(-0.782793\pi\) |
0.566969 | − | 0.823739i | \(-0.308116\pi\) | |||||||
\(510\) | −0.258872 | − | 0.566850i | −0.0114630 | − | 0.0251006i | ||||
\(511\) | 24.6944 | + | 7.25094i | 1.09242 | + | 0.320763i | ||||
\(512\) | 0.415415 | − | 0.909632i | 0.0183589 | − | 0.0402004i | ||||
\(513\) | 0.562819 | − | 0.649528i | 0.0248491 | − | 0.0286774i | ||||
\(514\) | 2.25552 | − | 15.6875i | 0.0994866 | − | 0.691945i | ||||
\(515\) | 3.61533 | − | 1.06156i | 0.159311 | − | 0.0467778i | ||||
\(516\) | −3.36783 | − | 3.88668i | −0.148260 | − | 0.171102i | ||||
\(517\) | −39.2959 | + | 25.2539i | −1.72823 | + | 1.11067i | ||||
\(518\) | 11.3140 | − | 7.27106i | 0.497108 | − | 0.319472i | ||||
\(519\) | 4.02193 | + | 4.64155i | 0.176543 | + | 0.203742i | ||||
\(520\) | 0.897086 | − | 0.263408i | 0.0393398 | − | 0.0115512i | ||||
\(521\) | 4.12229 | − | 28.6712i | 0.180601 | − | 1.25611i | −0.674746 | − | 0.738050i | \(-0.735747\pi\) |
0.855347 | − | 0.518056i | \(-0.173344\pi\) | |||||||
\(522\) | −3.54765 | + | 4.09421i | −0.155276 | + | 0.179198i | ||||
\(523\) | 13.9867 | − | 30.6266i | 0.611595 | − | 1.33921i | −0.309882 | − | 0.950775i | \(-0.600290\pi\) |
0.921477 | − | 0.388432i | \(-0.126983\pi\) | |||||||
\(524\) | 14.3512 | + | 4.21390i | 0.626937 | + | 0.184085i | ||||
\(525\) | 4.02354 | + | 8.81032i | 0.175602 | + | 0.384514i | ||||
\(526\) | −0.0185874 | − | 0.129278i | −0.000810450 | − | 0.00563680i | ||||
\(527\) | 2.73561 | + | 1.75807i | 0.119165 | + | 0.0765827i | ||||
\(528\) | −6.30195 | −0.274257 | ||||||||
\(529\) | −0.180643 | − | 22.9993i | −0.00785404 | − | 0.999969i | ||||
\(530\) | −0.390071 | −0.0169436 | ||||||||
\(531\) | −7.23664 | − | 4.65071i | −0.314043 | − | 0.201823i | ||||
\(532\) | −0.238735 | − | 1.66044i | −0.0103505 | − | 0.0719892i | ||||
\(533\) | −1.94338 | − | 4.25542i | −0.0841773 | − | 0.184323i | ||||
\(534\) | −9.16467 | − | 2.69099i | −0.396594 | − | 0.116451i | ||||
\(535\) | −0.248226 | + | 0.543540i | −0.0107318 | + | 0.0234993i | ||||
\(536\) | −4.64510 | + | 5.36073i | −0.200638 | + | 0.231548i | ||||
\(537\) | 0.920906 | − | 6.40504i | 0.0397400 | − | 0.276398i | ||||
\(538\) | 22.9979 | − | 6.75279i | 0.991510 | − | 0.291134i | ||||
\(539\) | 13.1660 | + | 15.1944i | 0.567099 | + | 0.654467i | ||||
\(540\) | 0.163423 | − | 0.105026i | 0.00703262 | − | 0.00451959i | ||||
\(541\) | −33.8175 | + | 21.7332i | −1.45393 | + | 0.934383i | −0.454890 | + | 0.890548i | \(0.650321\pi\) |
−0.999039 | + | 0.0438352i | \(0.986042\pi\) | |||||||
\(542\) | −2.10988 | − | 2.43493i | −0.0906271 | − | 0.104589i | ||||
\(543\) | 3.12935 | − | 0.918861i | 0.134293 | − | 0.0394321i | ||||
\(544\) | 0.456526 | − | 3.17521i | 0.0195734 | − | 0.136136i | ||||
\(545\) | 0.247978 | − | 0.286182i | 0.0106222 | − | 0.0122587i | ||||
\(546\) | −3.90242 | + | 8.54510i | −0.167008 | + | 0.365696i | ||||
\(547\) | −21.7806 | − | 6.39537i | −0.931272 | − | 0.273446i | −0.219303 | − | 0.975657i | \(-0.570378\pi\) |
−0.711969 | + | 0.702211i | \(0.752196\pi\) | |||||||
\(548\) | 7.54269 | + | 16.5162i | 0.322208 | + | 0.705536i | ||||
\(549\) | −1.72487 | − | 11.9968i | −0.0736159 | − | 0.512010i | ||||
\(550\) | −26.3076 | − | 16.9069i | −1.12176 | − | 0.720912i | ||||
\(551\) | 4.65598 | 0.198352 | ||||||||
\(552\) | −3.37782 | + | 3.40446i | −0.143770 | + | 0.144903i | ||||
\(553\) | 2.20519 | 0.0937741 | ||||||||
\(554\) | −10.9385 | − | 7.02973i | −0.464731 | − | 0.298665i | ||||
\(555\) | −0.190493 | − | 1.32491i | −0.00808599 | − | 0.0562393i | ||||
\(556\) | −3.06044 | − | 6.70142i | −0.129791 | − | 0.284203i | ||||
\(557\) | −3.79597 | − | 1.11460i | −0.160841 | − | 0.0472270i | 0.200321 | − | 0.979730i | \(-0.435802\pi\) |
−0.361162 | + | 0.932503i | \(0.617620\pi\) | |||||||
\(558\) | −0.421108 | + | 0.922099i | −0.0178269 | + | 0.0390355i | ||||
\(559\) | 16.2090 | − | 18.7061i | 0.685566 | − | 0.791185i | ||||
\(560\) | 0.0539615 | − | 0.375310i | 0.00228029 | − | 0.0158598i | ||||
\(561\) | −19.3969 | + | 5.69544i | −0.818938 | + | 0.240462i | ||||
\(562\) | −6.36426 | − | 7.34475i | −0.268460 | − | 0.309820i | ||||
\(563\) | −22.8941 | + | 14.7132i | −0.964873 | + | 0.620086i | −0.925342 | − | 0.379132i | \(-0.876223\pi\) |
−0.0395303 | + | 0.999218i | \(0.512586\pi\) | |||||||
\(564\) | 6.23551 | − | 4.00732i | 0.262562 | − | 0.168738i | ||||
\(565\) | −2.18163 | − | 2.51773i | −0.0917818 | − | 0.105922i | ||||
\(566\) | −19.1752 | + | 5.63035i | −0.805995 | + | 0.236661i | ||||
\(567\) | −0.277777 | + | 1.93198i | −0.0116655 | + | 0.0811356i | ||||
\(568\) | −0.726488 | + | 0.838411i | −0.0304827 | + | 0.0351790i | ||||
\(569\) | −8.57486 | + | 18.7763i | −0.359477 | + | 0.787144i | 0.640342 | + | 0.768090i | \(0.278793\pi\) |
−0.999818 | + | 0.0190542i | \(0.993935\pi\) | |||||||
\(570\) | −0.160195 | − | 0.0470375i | −0.00670983 | − | 0.00197018i | ||||
\(571\) | 12.6110 | + | 27.6142i | 0.527753 | + | 1.15562i | 0.966420 | + | 0.256968i | \(0.0827235\pi\) |
−0.438667 | + | 0.898650i | \(0.644549\pi\) | |||||||
\(572\) | −4.31648 | − | 30.0218i | −0.180481 | − | 1.25527i | ||||
\(573\) | 19.2257 | + | 12.3556i | 0.803165 | + | 0.516162i | ||||
\(574\) | −1.89722 | −0.0791884 | ||||||||
\(575\) | −23.2343 | + | 5.14995i | −0.968936 | + | 0.214768i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −11.8754 | − | 7.63182i | −0.494377 | − | 0.317717i | 0.269586 | − | 0.962976i | \(-0.413113\pi\) |
−0.763964 | + | 0.645259i | \(0.776749\pi\) | |||||||
\(578\) | 0.954880 | + | 6.64134i | 0.0397178 | + | 0.276243i | ||||
\(579\) | 7.03771 | + | 15.4104i | 0.292477 | + | 0.640436i | ||||
\(580\) | 1.00977 | + | 0.296494i | 0.0419283 | + | 0.0123112i | ||||
\(581\) | 3.24910 | − | 7.11454i | 0.134795 | − | 0.295161i | ||||
\(582\) | −0.734062 | + | 0.847152i | −0.0304278 | + | 0.0351156i | ||||
\(583\) | −1.80087 | + | 12.5253i | −0.0745843 | + | 0.518745i | ||||
\(584\) | 12.6518 | − | 3.71491i | 0.523536 | − | 0.153724i | ||||
\(585\) | 0.612268 | + | 0.706595i | 0.0253142 | + | 0.0292141i | ||||
\(586\) | −15.0434 | + | 9.66778i | −0.621435 | + | 0.399372i | ||||
\(587\) | 30.7510 | − | 19.7625i | 1.26923 | − | 0.815685i | 0.279711 | − | 0.960084i | \(-0.409761\pi\) |
0.989520 | + | 0.144399i | \(0.0461249\pi\) | |||||||
\(588\) | −2.08919 | − | 2.41106i | −0.0861568 | − | 0.0994303i | ||||
\(589\) | 0.835937 | − | 0.245453i | 0.0344442 | − | 0.0101137i | ||||
\(590\) | −0.237820 | + | 1.65407i | −0.00979088 | + | 0.0680970i | ||||
\(591\) | 0.821721 | − | 0.948317i | 0.0338011 | − | 0.0390085i | ||||
\(592\) | 2.86236 | − | 6.26770i | 0.117642 | − | 0.257601i | ||||
\(593\) | −6.37440 | − | 1.87169i | −0.261765 | − | 0.0768612i | 0.148216 | − | 0.988955i | \(-0.452647\pi\) |
−0.409982 | + | 0.912094i | \(0.634465\pi\) | |||||||
\(594\) | −2.61792 | − | 5.73246i | −0.107415 | − | 0.235205i | ||||
\(595\) | −0.173101 | − | 1.20394i | −0.00709644 | − | 0.0493568i | ||||
\(596\) | 13.1516 | + | 8.45201i | 0.538710 | + | 0.346208i | ||||
\(597\) | −24.8140 | −1.01557 | ||||||||
\(598\) | −18.5321 | − | 13.7597i | −0.757833 | − | 0.562677i | ||||
\(599\) | 28.0099 | 1.14445 | 0.572226 | − | 0.820096i | \(-0.306080\pi\) | ||||
0.572226 | + | 0.820096i | \(0.306080\pi\) | |||||||
\(600\) | 4.17452 | + | 2.68280i | 0.170424 | + | 0.109525i | ||||
\(601\) | −2.50280 | − | 17.4074i | −0.102091 | − | 0.710061i | −0.975004 | − | 0.222185i | \(-0.928681\pi\) |
0.872913 | − | 0.487876i | \(-0.162228\pi\) | |||||||
\(602\) | −4.16994 | − | 9.13089i | −0.169954 | − | 0.372147i | ||||
\(603\) | −6.80594 | − | 1.99840i | −0.277159 | − | 0.0813813i | ||||
\(604\) | 8.60082 | − | 18.8332i | 0.349962 | − | 0.766311i | ||||
\(605\) | 3.65291 | − | 4.21568i | 0.148512 | − | 0.171392i | ||||
\(606\) | 1.78910 | − | 12.4435i | 0.0726772 | − | 0.505481i | ||||
\(607\) | 22.6391 | − | 6.64743i | 0.918891 | − | 0.269811i | 0.212112 | − | 0.977245i | \(-0.431966\pi\) |
0.706779 | + | 0.707435i | \(0.250148\pi\) | |||||||
\(608\) | −0.562819 | − | 0.649528i | −0.0228253 | − | 0.0263418i | ||||
\(609\) | −8.89539 | + | 5.71672i | −0.360459 | + | 0.231653i | ||||
\(610\) | −1.98071 | + | 1.27293i | −0.0801967 | + | 0.0515393i | ||||
\(611\) | 23.3614 | + | 26.9605i | 0.945101 | + | 1.09070i | ||||
\(612\) | 3.07792 | − | 0.903759i | 0.124418 | − | 0.0365323i | ||||
\(613\) | −4.69550 | + | 32.6579i | −0.189650 | + | 1.31904i | 0.643267 | + | 0.765642i | \(0.277579\pi\) |
−0.832916 | + | 0.553399i | \(0.813330\pi\) | |||||||
\(614\) | 8.19485 | − | 9.45736i | 0.330717 | − | 0.381668i | ||||
\(615\) | −0.0784406 | + | 0.171761i | −0.00316303 | + | 0.00692607i | ||||
\(616\) | −11.8022 | − | 3.46544i | −0.475524 | − | 0.139627i | ||||
\(617\) | −15.8099 | − | 34.6189i | −0.636484 | − | 1.39371i | −0.902901 | − | 0.429848i | \(-0.858567\pi\) |
0.266418 | − | 0.963858i | \(-0.414160\pi\) | |||||||
\(618\) | 2.76038 | + | 19.1989i | 0.111039 | + | 0.772292i | ||||
\(619\) | −7.14317 | − | 4.59063i | −0.287108 | − | 0.184513i | 0.389157 | − | 0.921171i | \(-0.372766\pi\) |
−0.676265 | + | 0.736658i | \(0.736403\pi\) | |||||||
\(620\) | 0.196924 | 0.00790866 | ||||||||
\(621\) | −4.50000 | − | 1.65831i | −0.180579 | − | 0.0665458i | ||||
\(622\) | 5.45773 | 0.218835 | ||||||||
\(623\) | −15.6837 | − | 10.0793i | −0.628354 | − | 0.403818i | ||||
\(624\) | 0.684944 | + | 4.76389i | 0.0274197 | + | 0.190708i | ||||
\(625\) | 10.1508 | + | 22.2272i | 0.406033 | + | 0.889087i | ||||
\(626\) | 22.9543 | + | 6.73999i | 0.917438 | + | 0.269384i | ||||
\(627\) | −2.24997 | + | 4.92675i | −0.0898552 | + | 0.196755i | ||||
\(628\) | 2.60393 | − | 3.00510i | 0.103908 | − | 0.119916i | ||||
\(629\) | 3.14563 | − | 21.8784i | 0.125425 | − | 0.872347i | ||||
\(630\) | 0.363811 | − | 0.106824i | 0.0144946 | − | 0.00425599i | ||||
\(631\) | −7.29960 | − | 8.42419i | −0.290593 | − | 0.335362i | 0.591617 | − | 0.806220i | \(-0.298490\pi\) |
−0.882209 | + | 0.470858i | \(0.843945\pi\) | |||||||
\(632\) | 0.950444 | − | 0.610813i | 0.0378066 | − | 0.0242968i | ||||
\(633\) | −6.10604 | + | 3.92412i | −0.242693 | + | 0.155970i | ||||
\(634\) | 10.5580 | + | 12.1846i | 0.419313 | + | 0.483912i | ||||
\(635\) | −4.02828 | + | 1.18281i | −0.159858 | + | 0.0469384i | ||||
\(636\) | 0.285763 | − | 1.98753i | 0.0113313 | − | 0.0788106i | ||||
\(637\) | 10.0550 | − | 11.6041i | 0.398395 | − | 0.459772i | ||||
\(638\) | 14.1824 | − | 31.0551i | 0.561485 | − | 1.22948i | ||||
\(639\) | −1.06444 | − | 0.312548i | −0.0421086 | − | 0.0123642i | ||||
\(640\) | −0.0806993 | − | 0.176707i | −0.00318992 | − | 0.00698495i | ||||
\(641\) | 5.38460 | + | 37.4507i | 0.212679 | + | 1.47921i | 0.764160 | + | 0.645026i | \(0.223154\pi\) |
−0.551482 | + | 0.834187i | \(0.685937\pi\) | |||||||
\(642\) | −2.58765 | − | 1.66298i | −0.102126 | − | 0.0656326i | ||||
\(643\) | −22.3733 | −0.882317 | −0.441158 | − | 0.897429i | \(-0.645432\pi\) | ||||
−0.441158 | + | 0.897429i | \(0.645432\pi\) | |||||||
\(644\) | −8.19804 | + | 4.51835i | −0.323048 | + | 0.178048i | ||||
\(645\) | −0.999053 | −0.0393377 | ||||||||
\(646\) | −2.31933 | − | 1.49054i | −0.0912528 | − | 0.0586446i | ||||
\(647\) | 1.55788 | + | 10.8353i | 0.0612465 | + | 0.425979i | 0.997258 | + | 0.0740083i | \(0.0235791\pi\) |
−0.936011 | + | 0.351970i | \(0.885512\pi\) | |||||||
\(648\) | 0.415415 | + | 0.909632i | 0.0163190 | + | 0.0357337i | ||||
\(649\) | 52.0148 | + | 15.2729i | 2.04176 | + | 0.599515i | ||||
\(650\) | −9.92126 | + | 21.7245i | −0.389144 | + | 0.852106i | ||||
\(651\) | −1.29571 | + | 1.49533i | −0.0507828 | + | 0.0586064i | ||||
\(652\) | −3.48854 | + | 24.2633i | −0.136622 | + | 0.950226i | ||||
\(653\) | −5.55361 | + | 1.63069i | −0.217329 | + | 0.0638137i | −0.388585 | − | 0.921413i | \(-0.627036\pi\) |
0.171255 | + | 0.985227i | \(0.445218\pi\) | |||||||
\(654\) | 1.27652 | + | 1.47318i | 0.0499157 | + | 0.0576058i | ||||
\(655\) | 2.44434 | − | 1.57088i | 0.0955083 | − | 0.0613794i | ||||
\(656\) | −0.817708 | + | 0.525509i | −0.0319261 | + | 0.0205177i | ||||
\(657\) | 8.63495 | + | 9.96526i | 0.336881 | + | 0.388782i | ||||
\(658\) | 13.8814 | − | 4.07594i | 0.541153 | − | 0.158897i | ||||
\(659\) | 1.18327 | − | 8.22980i | 0.0460935 | − | 0.320588i | −0.953709 | − | 0.300730i | \(-0.902770\pi\) |
0.999803 | − | 0.0198575i | \(-0.00632124\pi\) | |||||||
\(660\) | −0.801699 | + | 0.925210i | −0.0312061 | + | 0.0360137i | ||||
\(661\) | −5.05499 | + | 11.0689i | −0.196616 | + | 0.430530i | −0.982102 | − | 0.188350i | \(-0.939686\pi\) |
0.785486 | + | 0.618880i | \(0.212413\pi\) | |||||||
\(662\) | 0.496914 | + | 0.145907i | 0.0193131 | + | 0.00567085i | ||||
\(663\) | 6.41361 | + | 14.0439i | 0.249084 | + | 0.545418i | ||||
\(664\) | −0.570276 | − | 3.96635i | −0.0221310 | − | 0.153924i | ||||
\(665\) | −0.274145 | − | 0.176182i | −0.0106309 | − | 0.00683206i | ||||
\(666\) | 6.89037 | 0.266996 | ||||||||
\(667\) | −9.17495 | − | 24.3070i | −0.355255 | − | 0.941172i | ||||
\(668\) | −1.95444 | −0.0756194 | ||||||||
\(669\) | −17.4427 | − | 11.2097i | −0.674373 | − | 0.433393i | ||||
\(670\) | 0.196103 | + | 1.36392i | 0.00757611 | + | 0.0526930i | ||||
\(671\) | 31.7296 | + | 69.4781i | 1.22491 | + | 2.68217i | ||||
\(672\) | 1.87279 | + | 0.549899i | 0.0722443 | + | 0.0212128i | ||||
\(673\) | 2.02362 | − | 4.43110i | 0.0780047 | − | 0.170807i | −0.866612 | − | 0.498983i | \(-0.833707\pi\) |
0.944616 | + | 0.328177i | \(0.106434\pi\) | |||||||
\(674\) | 0.347154 | − | 0.400637i | 0.0133719 | − | 0.0154320i | ||||
\(675\) | −0.706204 | + | 4.91175i | −0.0271818 | + | 0.189053i | ||||
\(676\) | −9.75211 | + | 2.86348i | −0.375081 | + | 0.110134i | ||||
\(677\) | 13.1011 | + | 15.1195i | 0.503517 | + | 0.581090i | 0.949427 | − | 0.313988i | \(-0.101665\pi\) |
−0.445910 | + | 0.895078i | \(0.647120\pi\) | |||||||
\(678\) | 14.4268 | − | 9.27157i | 0.554060 | − | 0.356073i | ||||
\(679\) | −1.84059 | + | 1.18287i | −0.0706353 | + | 0.0453946i | ||||
\(680\) | −0.408086 | − | 0.470956i | −0.0156494 | − | 0.0180604i | ||||
\(681\) | −20.1977 | + | 5.93057i | −0.773977 | + | 0.227260i | ||||
\(682\) | 0.909153 | − | 6.32330i | 0.0348133 | − | 0.242131i | ||||
\(683\) | 15.7090 | − | 18.1292i | 0.601089 | − | 0.693693i | −0.370913 | − | 0.928668i | \(-0.620955\pi\) |
0.972002 | + | 0.234974i | \(0.0755006\pi\) | |||||||
\(684\) | 0.357028 | − | 0.781782i | 0.0136513 | − | 0.0298922i | ||||
\(685\) | 3.38433 | + | 0.993730i | 0.129309 | + | 0.0379685i | ||||
\(686\) | −8.26256 | − | 18.0925i | −0.315466 | − | 0.690774i | ||||
\(687\) | −0.272668 | − | 1.89645i | −0.0104029 | − | 0.0723540i | ||||
\(688\) | −4.32641 | − | 2.78042i | −0.164943 | − | 0.106002i | ||||
\(689\) | 9.66410 | 0.368173 | ||||||||
\(690\) | 0.0701117 | + | 0.929005i | 0.00266911 | + | 0.0353666i | ||||
\(691\) | 16.5438 | 0.629356 | 0.314678 | − | 0.949199i | \(-0.398104\pi\) | ||||
0.314678 | + | 0.949199i | \(0.398104\pi\) | |||||||
\(692\) | 5.16669 | + | 3.32043i | 0.196408 | + | 0.126224i | ||||
\(693\) | −1.75054 | − | 12.1753i | −0.0664974 | − | 0.462500i | ||||
\(694\) | 11.1383 | + | 24.3896i | 0.422806 | + | 0.925816i | ||||
\(695\) | −1.37319 | − | 0.403204i | −0.0520880 | − | 0.0152944i | ||||
\(696\) | −2.25047 | + | 4.92785i | −0.0853040 | + | 0.186790i | ||||
\(697\) | −2.04191 | + | 2.35648i | −0.0773427 | + | 0.0892582i | ||||
\(698\) | −0.207393 | + | 1.44245i | −0.00784994 | + | 0.0545975i | ||||
\(699\) | −13.8460 | + | 4.06556i | −0.523705 | + | 0.153774i | ||||
\(700\) | 6.34271 | + | 7.31988i | 0.239732 | + | 0.276665i | ||||
\(701\) | −13.4451 | + | 8.64063i | −0.507814 | + | 0.326352i | −0.769335 | − | 0.638846i | \(-0.779412\pi\) |
0.261521 | + | 0.965198i | \(0.415776\pi\) | |||||||
\(702\) | −4.04885 | + | 2.60204i | −0.152814 | + | 0.0982076i | ||||
\(703\) | −3.87803 | − | 4.47549i | −0.146263 | − | 0.168796i | ||||
\(704\) | −6.04668 | + | 1.77546i | −0.227893 | + | 0.0669153i | ||||
\(705\) | 0.204919 | − | 1.42524i | 0.00771770 | − | 0.0536778i | ||||
\(706\) | −14.7041 | + | 16.9694i | −0.553394 | + | 0.638651i | ||||
\(707\) | 10.1932 | − | 22.3201i | 0.383356 | − | 0.839434i | ||||
\(708\) | −8.25376 | − | 2.42352i | −0.310195 | − | 0.0910816i | ||||
\(709\) | 2.66064 | + | 5.82599i | 0.0999224 | + | 0.218800i | 0.952991 | − | 0.303000i | \(-0.0979882\pi\) |
−0.853068 | + | 0.521800i | \(0.825261\pi\) | |||||||
\(710\) | 0.0306702 | + | 0.213316i | 0.00115103 | + | 0.00800561i | ||||
\(711\) | 0.950444 | + | 0.610813i | 0.0356444 | + | 0.0229073i | ||||
\(712\) | −9.55158 | −0.357960 | ||||||||
\(713\) | −2.92868 | − | 3.88041i | −0.109680 | − | 0.145322i | ||||
\(714\) | 6.26126 | 0.234322 | ||||||||
\(715\) | −4.95672 | − | 3.18549i | −0.185371 | − | 0.119131i | ||||
\(716\) | −0.920906 | − | 6.40504i | −0.0344159 | − | 0.239368i | ||||
\(717\) | 4.07813 | + | 8.92987i | 0.152301 | + | 0.333492i | ||||
\(718\) | −0.162153 | − | 0.0476124i | −0.00605149 | − | 0.00177688i | ||||
\(719\) | −17.3216 | + | 37.9290i | −0.645986 | + | 1.41451i | 0.249037 | + | 0.968494i | \(0.419886\pi\) |
−0.895024 | + | 0.446019i | \(0.852841\pi\) | |||||||
\(720\) | 0.127214 | − | 0.146813i | 0.00474100 | − | 0.00547141i | ||||
\(721\) | −5.38785 | + | 37.4733i | −0.200654 | + | 1.39558i | ||||
\(722\) | 17.5216 | − | 5.14482i | 0.652088 | − | 0.191470i | ||||
\(723\) | −9.75997 | − | 11.2636i | −0.362977 | − | 0.418898i | ||||
\(724\) | 2.74372 | − | 1.76328i | 0.101969 | − | 0.0655318i | ||||
\(725\) | −22.6151 | + | 14.5338i | −0.839903 | + | 0.539773i | ||||
\(726\) | 18.8040 | + | 21.7010i | 0.697884 | + | 0.805401i | ||||
\(727\) | 9.60066 | − | 2.81901i | 0.356069 | − | 0.104551i | −0.0988057 | − | 0.995107i | \(-0.531502\pi\) |
0.454875 | + | 0.890555i | \(0.349684\pi\) | |||||||
\(728\) | −1.33691 | + | 9.29840i | −0.0495491 | + | 0.344622i | ||||
\(729\) | −0.654861 | + | 0.755750i | −0.0242541 | + | 0.0279907i | ||||
\(730\) | 1.06409 | − | 2.33004i | 0.0393839 | − | 0.0862388i | ||||
\(731\) | −15.8292 | − | 4.64787i | −0.585463 | − | 0.171908i | ||||
\(732\) | −5.03489 | − | 11.0249i | −0.186095 | − | 0.407491i | ||||
\(733\) | 3.32462 | + | 23.1232i | 0.122798 | + | 0.854076i | 0.954363 | + | 0.298649i | \(0.0965360\pi\) |
−0.831565 | + | 0.555427i | \(0.812555\pi\) | |||||||
\(734\) | 15.0006 | + | 9.64029i | 0.553682 | + | 0.355830i | ||||
\(735\) | −0.619750 | −0.0228598 | ||||||||
\(736\) | −2.28185 | + | 4.21819i | −0.0841101 | + | 0.155485i | ||||
\(737\) | 44.7014 | 1.64660 | ||||||||
\(738\) | −0.817708 | − | 0.525509i | −0.0301002 | − | 0.0193442i | ||||
\(739\) | −3.80336 | − | 26.4530i | −0.139909 | − | 0.973088i | −0.931941 | − | 0.362609i | \(-0.881886\pi\) |
0.792033 | − | 0.610479i | \(-0.209023\pi\) | |||||||
\(740\) | −0.556048 | − | 1.21757i | −0.0204407 | − | 0.0447589i | ||||
\(741\) | 3.96887 | + | 1.16536i | 0.145800 | + | 0.0428108i | ||||
\(742\) | 1.62811 | − | 3.56507i | 0.0597700 | − | 0.130878i | ||||
\(743\) | 9.93499 | − | 11.4656i | 0.364479 | − | 0.420632i | −0.543656 | − | 0.839308i | \(-0.682960\pi\) |
0.908135 | + | 0.418676i | \(0.137506\pi\) | |||||||
\(744\) | −0.144265 | + | 1.00339i | −0.00528902 | + | 0.0367860i | ||||
\(745\) | 2.91394 | − | 0.855609i | 0.106758 | − | 0.0313471i | ||||
\(746\) | 17.9356 | + | 20.6987i | 0.656667 | + | 0.757835i | ||||
\(747\) | 3.37102 | − | 2.16642i | 0.123339 | − | 0.0792653i | ||||
\(748\) | −17.0066 | + | 10.9295i | −0.621823 | + | 0.399621i | ||||
\(749\) | −3.93164 | − | 4.53735i | −0.143659 | − | 0.165791i | ||||
\(750\) | 1.85689 | − | 0.545233i | 0.0678042 | − | 0.0199091i | ||||
\(751\) | −3.08374 | + | 21.4478i | −0.112527 | + | 0.782643i | 0.852920 | + | 0.522042i | \(0.174830\pi\) |
−0.965447 | + | 0.260601i | \(0.916079\pi\) | |||||||
\(752\) | 4.85393 | − | 5.60174i | 0.177005 | − | 0.204274i | ||||
\(753\) | 0.890944 | − | 1.95089i | 0.0324678 | − | 0.0710946i | ||||
\(754\) | −25.0172 | − | 7.34571i | −0.911072 | − | 0.267515i | ||||
\(755\) | −1.67081 | − | 3.65856i | −0.0608070 | − | 0.133149i | ||||
\(756\) | 0.277777 | + | 1.93198i | 0.0101027 | + | 0.0702655i | ||||
\(757\) | −3.40872 | − | 2.19065i | −0.123892 | − | 0.0796206i | 0.477227 | − | 0.878780i | \(-0.341642\pi\) |
−0.601119 | + | 0.799159i | \(0.705278\pi\) | |||||||
\(758\) | −2.73604 | −0.0993774 | ||||||||
\(759\) | 30.1543 | + | 2.03769i | 1.09453 | + | 0.0739634i | ||||
\(760\) | −0.166958 | −0.00605620 | ||||||||
\(761\) | −37.1929 | − | 23.9024i | −1.34824 | − | 0.866461i | −0.350695 | − | 0.936490i | \(-0.614055\pi\) |
−0.997545 | + | 0.0700285i | \(0.977691\pi\) | |||||||
\(762\) | −3.07568 | − | 21.3918i | −0.111420 | − | 0.774944i | ||||
\(763\) | 1.58054 | + | 3.46090i | 0.0572194 | + | 0.125293i | ||||
\(764\) | 21.9279 | + | 6.43861i | 0.793323 | + | 0.232941i | ||||
\(765\) | 0.258872 | − | 0.566850i | 0.00935953 | − | 0.0204945i |