Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(362,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([1, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.362");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.e (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(i)\) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 362.14 | ||
Character | \(\chi\) | \(=\) | 605.362 |
Dual form | 605.2.e.b.483.14 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.07485 | − | 1.07485i | 0.760031 | − | 0.760031i | −0.216296 | − | 0.976328i | \(-0.569398\pi\) |
0.976328 | + | 0.216296i | \(0.0693978\pi\) | |||||||
\(3\) | 0.563723 | − | 0.563723i | 0.325466 | − | 0.325466i | −0.525394 | − | 0.850859i | \(-0.676082\pi\) |
0.850859 | + | 0.525394i | \(0.176082\pi\) | |||||||
\(4\) | − | 0.310591i | − | 0.155295i | ||||||
\(5\) | 2.23083 | + | 0.152980i | 0.997657 | + | 0.0684146i | ||||
\(6\) | − | 1.21183i | − | 0.494728i | ||||||
\(7\) | −0.135390 | + | 0.135390i | −0.0511728 | + | 0.0511728i | −0.732230 | − | 0.681057i | \(-0.761520\pi\) |
0.681057 | + | 0.732230i | \(0.261520\pi\) | |||||||
\(8\) | 1.81586 | + | 1.81586i | 0.642002 | + | 0.642002i | ||||
\(9\) | 2.36443i | 0.788144i | ||||||||
\(10\) | 2.56223 | − | 2.23337i | 0.810248 | − | 0.706253i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | −0.175087 | − | 0.175087i | −0.0505433 | − | 0.0505433i | ||||
\(13\) | −2.18892 | − | 2.18892i | −0.607098 | − | 0.607098i | 0.335089 | − | 0.942186i | \(-0.391234\pi\) |
−0.942186 | + | 0.335089i | \(0.891234\pi\) | |||||||
\(14\) | 0.291048i | 0.0777859i | ||||||||
\(15\) | 1.34381 | − | 1.17133i | 0.346970 | − | 0.302437i | ||||
\(16\) | 4.52471 | 1.13118 | ||||||||
\(17\) | 2.62090 | − | 2.62090i | 0.635662 | − | 0.635662i | −0.313820 | − | 0.949482i | \(-0.601609\pi\) |
0.949482 | + | 0.313820i | \(0.101609\pi\) | |||||||
\(18\) | 2.54140 | + | 2.54140i | 0.599014 | + | 0.599014i | ||||
\(19\) | 0.743791 | 0.170637 | 0.0853187 | − | 0.996354i | \(-0.472809\pi\) | ||||
0.0853187 | + | 0.996354i | \(0.472809\pi\) | |||||||
\(20\) | 0.0475140 | − | 0.692874i | 0.0106245 | − | 0.154931i | ||||
\(21\) | 0.152646i | 0.0333100i | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.14886 | + | 1.14886i | −0.239553 | + | 0.239553i | −0.816665 | − | 0.577112i | \(-0.804180\pi\) |
0.577112 | + | 0.816665i | \(0.304180\pi\) | |||||||
\(24\) | 2.04728 | 0.417899 | ||||||||
\(25\) | 4.95319 | + | 0.682543i | 0.990639 | + | 0.136509i | ||||
\(26\) | −4.70551 | −0.922826 | ||||||||
\(27\) | 3.02406 | + | 3.02406i | 0.581980 | + | 0.581980i | ||||
\(28\) | 0.0420510 | + | 0.0420510i | 0.00794689 | + | 0.00794689i | ||||
\(29\) | −9.54720 | −1.77287 | −0.886436 | − | 0.462852i | \(-0.846826\pi\) | ||||
−0.886436 | + | 0.462852i | \(0.846826\pi\) | |||||||
\(30\) | 0.185386 | − | 2.70339i | 0.0338466 | − | 0.493569i | ||||
\(31\) | 0.350920 | 0.0630271 | 0.0315136 | − | 0.999503i | \(-0.489967\pi\) | ||||
0.0315136 | + | 0.999503i | \(0.489967\pi\) | |||||||
\(32\) | 1.23166 | − | 1.23166i | 0.217729 | − | 0.217729i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | − | 5.63413i | − | 0.966246i | ||||||
\(35\) | −0.322745 | + | 0.281321i | −0.0545539 | + | 0.0475519i | ||||
\(36\) | 0.734370 | 0.122395 | ||||||||
\(37\) | −3.82216 | − | 3.82216i | −0.628360 | − | 0.628360i | 0.319295 | − | 0.947655i | \(-0.396554\pi\) |
−0.947655 | + | 0.319295i | \(0.896554\pi\) | |||||||
\(38\) | 0.799462 | − | 0.799462i | 0.129690 | − | 0.129690i | ||||
\(39\) | −2.46789 | −0.395179 | ||||||||
\(40\) | 3.77307 | + | 4.32865i | 0.596576 | + | 0.684420i | ||||
\(41\) | − | 6.69597i | − | 1.04573i | −0.852414 | − | 0.522867i | \(-0.824862\pi\) | ||
0.852414 | − | 0.522867i | \(-0.175138\pi\) | |||||||
\(42\) | 0.164071 | + | 0.164071i | 0.0253166 | + | 0.0253166i | ||||
\(43\) | −3.72708 | − | 3.72708i | −0.568374 | − | 0.568374i | 0.363299 | − | 0.931673i | \(-0.381650\pi\) |
−0.931673 | + | 0.363299i | \(0.881650\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −0.361710 | + | 5.27464i | −0.0539205 | + | 0.786297i | ||||
\(46\) | 2.46969i | 0.364136i | ||||||||
\(47\) | −8.74273 | − | 8.74273i | −1.27526 | − | 1.27526i | −0.943291 | − | 0.331968i | \(-0.892287\pi\) |
−0.331968 | − | 0.943291i | \(-0.607713\pi\) | |||||||
\(48\) | 2.55069 | − | 2.55069i | 0.368160 | − | 0.368160i | ||||
\(49\) | 6.96334i | 0.994763i | ||||||||
\(50\) | 6.05755 | − | 4.59030i | 0.856667 | − | 0.649166i | ||||
\(51\) | − | 2.95493i | − | 0.413772i | ||||||
\(52\) | −0.679858 | + | 0.679858i | −0.0942794 | + | 0.0942794i | ||||
\(53\) | 6.38540 | − | 6.38540i | 0.877102 | − | 0.877102i | −0.116132 | − | 0.993234i | \(-0.537050\pi\) |
0.993234 | + | 0.116132i | \(0.0370495\pi\) | |||||||
\(54\) | 6.50079 | 0.884646 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −0.491699 | −0.0657061 | ||||||||
\(57\) | 0.419293 | − | 0.419293i | 0.0555367 | − | 0.0555367i | ||||
\(58\) | −10.2618 | + | 10.2618i | −1.34744 | + | 1.34744i | ||||
\(59\) | 9.62609i | 1.25321i | 0.779337 | + | 0.626605i | \(0.215556\pi\) | ||||
−0.779337 | + | 0.626605i | \(0.784444\pi\) | |||||||
\(60\) | −0.363805 | − | 0.417374i | −0.0469670 | − | 0.0538828i | ||||
\(61\) | − | 5.89303i | − | 0.754525i | −0.926106 | − | 0.377262i | \(-0.876866\pi\) | ||
0.926106 | − | 0.377262i | \(-0.123134\pi\) | |||||||
\(62\) | 0.377185 | − | 0.377185i | 0.0479026 | − | 0.0479026i | ||||
\(63\) | −0.320122 | − | 0.320122i | −0.0403315 | − | 0.0403315i | ||||
\(64\) | 6.40173i | 0.800217i | ||||||||
\(65\) | −4.54825 | − | 5.21797i | −0.564141 | − | 0.647209i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.13426 | + | 4.13426i | 0.505081 | + | 0.505081i | 0.913012 | − | 0.407932i | \(-0.133750\pi\) |
−0.407932 | + | 0.913012i | \(0.633750\pi\) | |||||||
\(68\) | −0.814027 | − | 0.814027i | −0.0987153 | − | 0.0987153i | ||||
\(69\) | 1.29528i | 0.155933i | ||||||||
\(70\) | −0.0445244 | + | 0.649278i | −0.00532169 | + | 0.0776036i | ||||
\(71\) | −11.4617 | −1.36025 | −0.680127 | − | 0.733094i | \(-0.738075\pi\) | ||||
−0.680127 | + | 0.733094i | \(0.738075\pi\) | |||||||
\(72\) | −4.29347 | + | 4.29347i | −0.505990 | + | 0.505990i | ||||
\(73\) | 1.69838 | + | 1.69838i | 0.198780 | + | 0.198780i | 0.799477 | − | 0.600697i | \(-0.205110\pi\) |
−0.600697 | + | 0.799477i | \(0.705110\pi\) | |||||||
\(74\) | −8.21648 | −0.955146 | ||||||||
\(75\) | 3.17700 | − | 2.40747i | 0.366848 | − | 0.277990i | ||||
\(76\) | − | 0.231015i | − | 0.0264992i | ||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −2.65261 | + | 2.65261i | −0.300348 | + | 0.300348i | ||||
\(79\) | −0.670485 | −0.0754355 | −0.0377177 | − | 0.999288i | \(-0.512009\pi\) | ||||
−0.0377177 | + | 0.999288i | \(0.512009\pi\) | |||||||
\(80\) | 10.0939 | + | 0.692189i | 1.12853 | + | 0.0773891i | ||||
\(81\) | −3.68383 | −0.409315 | ||||||||
\(82\) | −7.19714 | − | 7.19714i | −0.794791 | − | 0.794791i | ||||
\(83\) | 11.7967 | + | 11.7967i | 1.29485 | + | 1.29485i | 0.931748 | + | 0.363106i | \(0.118284\pi\) |
0.363106 | + | 0.931748i | \(0.381716\pi\) | |||||||
\(84\) | 0.0474103 | 0.00517289 | ||||||||
\(85\) | 6.24773 | − | 5.44584i | 0.677661 | − | 0.590684i | ||||
\(86\) | −8.01208 | −0.863964 | ||||||||
\(87\) | −5.38198 | + | 5.38198i | −0.577009 | + | 0.577009i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | − | 7.92190i | − | 0.839720i | −0.907589 | − | 0.419860i | \(-0.862079\pi\) | ||
0.907589 | − | 0.419860i | \(-0.137921\pi\) | |||||||
\(90\) | 5.28065 | + | 6.05821i | 0.556629 | + | 0.638592i | ||||
\(91\) | 0.592718 | 0.0621338 | ||||||||
\(92\) | 0.356824 | + | 0.356824i | 0.0372015 | + | 0.0372015i | ||||
\(93\) | 0.197822 | − | 0.197822i | 0.0205132 | − | 0.0205132i | ||||
\(94\) | −18.7942 | −1.93847 | ||||||||
\(95\) | 1.65927 | + | 0.113785i | 0.170238 | + | 0.0116741i | ||||
\(96\) | − | 1.38863i | − | 0.141727i | ||||||
\(97\) | 0.975091 | + | 0.975091i | 0.0990055 | + | 0.0990055i | 0.754875 | − | 0.655869i | \(-0.227698\pi\) |
−0.655869 | + | 0.754875i | \(0.727698\pi\) | |||||||
\(98\) | 7.48452 | + | 7.48452i | 0.756051 | + | 0.756051i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.211991 | − | 1.53842i | 0.0211991 | − | 0.153842i | ||||
\(101\) | 4.82544i | 0.480150i | 0.970754 | + | 0.240075i | \(0.0771720\pi\) | ||||
−0.970754 | + | 0.240075i | \(0.922828\pi\) | |||||||
\(102\) | −3.17609 | − | 3.17609i | −0.314480 | − | 0.314480i | ||||
\(103\) | 2.28914 | − | 2.28914i | 0.225556 | − | 0.225556i | −0.585277 | − | 0.810833i | \(-0.699014\pi\) |
0.810833 | + | 0.585277i | \(0.199014\pi\) | |||||||
\(104\) | − | 7.94953i | − | 0.779516i | ||||||
\(105\) | −0.0233517 | + | 0.340526i | −0.00227889 | + | 0.0332319i | ||||
\(106\) | − | 13.7266i | − | 1.33325i | ||||||
\(107\) | −7.81744 | + | 7.81744i | −0.755741 | + | 0.755741i | −0.975544 | − | 0.219803i | \(-0.929458\pi\) |
0.219803 | + | 0.975544i | \(0.429458\pi\) | |||||||
\(108\) | 0.939243 | − | 0.939243i | 0.0903787 | − | 0.0903787i | ||||
\(109\) | −9.54212 | −0.913969 | −0.456985 | − | 0.889475i | \(-0.651071\pi\) | ||||
−0.456985 | + | 0.889475i | \(0.651071\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −4.30929 | −0.409019 | ||||||||
\(112\) | −0.612603 | + | 0.612603i | −0.0578856 | + | 0.0578856i | ||||
\(113\) | 2.93286 | − | 2.93286i | 0.275900 | − | 0.275900i | −0.555570 | − | 0.831470i | \(-0.687500\pi\) |
0.831470 | + | 0.555570i | \(0.187500\pi\) | |||||||
\(114\) | − | 0.901350i | − | 0.0844192i | ||||||
\(115\) | −2.73866 | + | 2.38715i | −0.255381 | + | 0.222603i | ||||
\(116\) | 2.96527i | 0.275319i | ||||||||
\(117\) | 5.17556 | − | 5.17556i | 0.478480 | − | 0.478480i | ||||
\(118\) | 10.3466 | + | 10.3466i | 0.952479 | + | 0.952479i | ||||
\(119\) | 0.709690i | 0.0650572i | ||||||||
\(120\) | 4.56713 | + | 0.313192i | 0.416920 | + | 0.0285904i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | −6.33410 | − | 6.33410i | −0.573462 | − | 0.573462i | ||||
\(123\) | −3.77467 | − | 3.77467i | −0.340351 | − | 0.340351i | ||||
\(124\) | − | 0.108993i | − | 0.00978782i | ||||||
\(125\) | 10.9453 | + | 2.28037i | 0.978979 | + | 0.203963i | ||||
\(126\) | −0.688163 | −0.0613065 | ||||||||
\(127\) | −10.3006 | + | 10.3006i | −0.914027 | + | 0.914027i | −0.996586 | − | 0.0825589i | \(-0.973691\pi\) |
0.0825589 | + | 0.996586i | \(0.473691\pi\) | |||||||
\(128\) | 9.34421 | + | 9.34421i | 0.825919 | + | 0.825919i | ||||
\(129\) | −4.20208 | −0.369973 | ||||||||
\(130\) | −10.4972 | − | 0.719847i | −0.920664 | − | 0.0631348i | ||||
\(131\) | 9.76926i | 0.853544i | 0.904359 | + | 0.426772i | \(0.140349\pi\) | ||||
−0.904359 | + | 0.426772i | \(0.859651\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.100702 | + | 0.100702i | −0.00873200 | + | 0.00873200i | ||||
\(134\) | 8.88740 | 0.767754 | ||||||||
\(135\) | 6.28353 | + | 7.20877i | 0.540800 | + | 0.620432i | ||||
\(136\) | 9.51836 | 0.816193 | ||||||||
\(137\) | −3.06186 | − | 3.06186i | −0.261592 | − | 0.261592i | 0.564109 | − | 0.825701i | \(-0.309220\pi\) |
−0.825701 | + | 0.564109i | \(0.809220\pi\) | |||||||
\(138\) | 1.39222 | + | 1.39222i | 0.118514 | + | 0.118514i | ||||
\(139\) | −10.5105 | −0.891493 | −0.445747 | − | 0.895159i | \(-0.647062\pi\) | ||||
−0.445747 | + | 0.895159i | \(0.647062\pi\) | |||||||
\(140\) | 0.0873757 | + | 0.100242i | 0.00738459 | + | 0.00847196i | ||||
\(141\) | −9.85696 | −0.830106 | ||||||||
\(142\) | −12.3196 | + | 12.3196i | −1.03384 | + | 1.03384i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 10.6984i | 0.891532i | ||||||||
\(145\) | −21.2982 | − | 1.46053i | −1.76872 | − | 0.121290i | ||||
\(146\) | 3.65099 | 0.302158 | ||||||||
\(147\) | 3.92540 | + | 3.92540i | 0.323761 | + | 0.323761i | ||||
\(148\) | −1.18713 | + | 1.18713i | −0.0975813 | + | 0.0975813i | ||||
\(149\) | 5.76241 | 0.472075 | 0.236038 | − | 0.971744i | \(-0.424151\pi\) | ||||
0.236038 | + | 0.971744i | \(0.424151\pi\) | |||||||
\(150\) | 0.827127 | − | 6.00244i | 0.0675347 | − | 0.490097i | ||||
\(151\) | 14.9642i | 1.21777i | 0.793259 | + | 0.608885i | \(0.208383\pi\) | ||||
−0.793259 | + | 0.608885i | \(0.791617\pi\) | |||||||
\(152\) | 1.35062 | + | 1.35062i | 0.109550 | + | 0.109550i | ||||
\(153\) | 6.19694 | + | 6.19694i | 0.500993 | + | 0.500993i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.782843 | + | 0.0536836i | 0.0628795 | + | 0.00431197i | ||||
\(156\) | 0.766504i | 0.0613694i | ||||||||
\(157\) | 3.49885 | + | 3.49885i | 0.279239 | + | 0.279239i | 0.832805 | − | 0.553566i | \(-0.186733\pi\) |
−0.553566 | + | 0.832805i | \(0.686733\pi\) | |||||||
\(158\) | −0.720669 | + | 0.720669i | −0.0573333 | + | 0.0573333i | ||||
\(159\) | − | 7.19920i | − | 0.570933i | ||||||
\(160\) | 2.93605 | − | 2.55921i | 0.232115 | − | 0.202323i | ||||
\(161\) | − | 0.311089i | − | 0.0245172i | ||||||
\(162\) | −3.95956 | + | 3.95956i | −0.311092 | + | 0.311092i | ||||
\(163\) | 7.08286 | − | 7.08286i | 0.554772 | − | 0.554772i | −0.373042 | − | 0.927814i | \(-0.621685\pi\) |
0.927814 | + | 0.373042i | \(0.121685\pi\) | |||||||
\(164\) | −2.07970 | −0.162398 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 25.3592 | 1.96826 | ||||||||
\(167\) | 8.52930 | − | 8.52930i | 0.660017 | − | 0.660017i | −0.295367 | − | 0.955384i | \(-0.595442\pi\) |
0.955384 | + | 0.295367i | \(0.0954419\pi\) | |||||||
\(168\) | −0.277182 | + | 0.277182i | −0.0213851 | + | 0.0213851i | ||||
\(169\) | − | 3.41725i | − | 0.262865i | ||||||
\(170\) | 0.861908 | − | 12.5688i | 0.0661053 | − | 0.963982i | ||||
\(171\) | 1.75864i | 0.134487i | ||||||||
\(172\) | −1.15760 | + | 1.15760i | −0.0882658 | + | 0.0882658i | ||||
\(173\) | 8.81415 | + | 8.81415i | 0.670127 | + | 0.670127i | 0.957745 | − | 0.287618i | \(-0.0928634\pi\) |
−0.287618 | + | 0.957745i | \(0.592863\pi\) | |||||||
\(174\) | 11.5696i | 0.877090i | ||||||||
\(175\) | −0.763025 | + | 0.578206i | −0.0576793 | + | 0.0437082i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 5.42645 | + | 5.42645i | 0.407877 | + | 0.407877i | ||||
\(178\) | −8.51483 | − | 8.51483i | −0.638214 | − | 0.638214i | ||||
\(179\) | − | 20.1785i | − | 1.50822i | −0.656751 | − | 0.754108i | \(-0.728070\pi\) | ||
0.656751 | − | 0.754108i | \(-0.271930\pi\) | |||||||
\(180\) | 1.63825 | + | 0.112344i | 0.122108 | + | 0.00837361i | ||||
\(181\) | 4.60973 | 0.342638 | 0.171319 | − | 0.985216i | \(-0.445197\pi\) | ||||
0.171319 | + | 0.985216i | \(0.445197\pi\) | |||||||
\(182\) | 0.637081 | − | 0.637081i | 0.0472236 | − | 0.0472236i | ||||
\(183\) | −3.32204 | − | 3.32204i | −0.245572 | − | 0.245572i | ||||
\(184\) | −4.17232 | −0.307587 | ||||||||
\(185\) | −7.94188 | − | 9.11131i | −0.583899 | − | 0.669877i | ||||
\(186\) | − | 0.425256i | − | 0.0311813i | ||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −2.71541 | + | 2.71541i | −0.198042 | + | 0.198042i | ||||
\(189\) | −0.818857 | −0.0595631 | ||||||||
\(190\) | 1.90576 | − | 1.66116i | 0.138259 | − | 0.120513i | ||||
\(191\) | 6.32630 | 0.457755 | 0.228877 | − | 0.973455i | \(-0.426495\pi\) | ||||
0.228877 | + | 0.973455i | \(0.426495\pi\) | |||||||
\(192\) | 3.60881 | + | 3.60881i | 0.260443 | + | 0.260443i | ||||
\(193\) | 4.19447 | + | 4.19447i | 0.301925 | + | 0.301925i | 0.841767 | − | 0.539842i | \(-0.181516\pi\) |
−0.539842 | + | 0.841767i | \(0.681516\pi\) | |||||||
\(194\) | 2.09615 | 0.150495 | ||||||||
\(195\) | −5.50545 | − | 0.377537i | −0.394253 | − | 0.0270360i | ||||
\(196\) | 2.16275 | 0.154482 | ||||||||
\(197\) | 9.90515 | − | 9.90515i | 0.705713 | − | 0.705713i | −0.259918 | − | 0.965631i | \(-0.583696\pi\) |
0.965631 | + | 0.259918i | \(0.0836955\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 13.3828i | − | 0.948680i | −0.880342 | − | 0.474340i | \(-0.842687\pi\) | ||
0.880342 | − | 0.474340i | \(-0.157313\pi\) | |||||||
\(200\) | 7.75489 | + | 10.2337i | 0.548353 | + | 0.723631i | ||||
\(201\) | 4.66116 | 0.328773 | ||||||||
\(202\) | 5.18661 | + | 5.18661i | 0.364929 | + | 0.364929i | ||||
\(203\) | 1.29260 | − | 1.29260i | 0.0907228 | − | 0.0907228i | ||||
\(204\) | −0.917772 | −0.0642569 | ||||||||
\(205\) | 1.02435 | − | 14.9376i | 0.0715435 | − | 1.04328i | ||||
\(206\) | − | 4.92095i | − | 0.342859i | ||||||
\(207\) | −2.71639 | − | 2.71639i | −0.188802 | − | 0.188802i | ||||
\(208\) | −9.90424 | − | 9.90424i | −0.686736 | − | 0.686736i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0.340914 | + | 0.391113i | 0.0235253 | + | 0.0269893i | ||||
\(211\) | − | 5.93238i | − | 0.408402i | −0.978929 | − | 0.204201i | \(-0.934540\pi\) | ||
0.978929 | − | 0.204201i | \(-0.0654596\pi\) | |||||||
\(212\) | −1.98324 | − | 1.98324i | −0.136210 | − | 0.136210i | ||||
\(213\) | −6.46123 | + | 6.46123i | −0.442716 | + | 0.442716i | ||||
\(214\) | 16.8051i | 1.14877i | ||||||||
\(215\) | −7.74431 | − | 8.88464i | −0.528157 | − | 0.605928i | ||||
\(216\) | 10.9825i | 0.747264i | ||||||||
\(217\) | −0.0475113 | + | 0.0475113i | −0.00322527 | + | 0.00322527i | ||||
\(218\) | −10.2563 | + | 10.2563i | −0.694645 | + | 0.694645i | ||||
\(219\) | 1.91483 | 0.129392 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −11.4739 | −0.771818 | ||||||||
\(222\) | −4.63182 | + | 4.63182i | −0.310867 | + | 0.310867i | ||||
\(223\) | −15.0300 | + | 15.0300i | −1.00648 | + | 1.00648i | −0.00650292 | + | 0.999979i | \(0.502070\pi\) |
−0.999979 | + | 0.00650292i | \(0.997930\pi\) | |||||||
\(224\) | 0.333511i | 0.0222836i | ||||||||
\(225\) | −1.61383 | + | 11.7115i | −0.107588 | + | 0.780766i | ||||
\(226\) | − | 6.30474i | − | 0.419385i | ||||||
\(227\) | −9.24199 | + | 9.24199i | −0.613412 | + | 0.613412i | −0.943834 | − | 0.330421i | \(-0.892809\pi\) |
0.330421 | + | 0.943834i | \(0.392809\pi\) | |||||||
\(228\) | −0.130228 | − | 0.130228i | −0.00862458 | − | 0.00862458i | ||||
\(229\) | − | 16.4311i | − | 1.08580i | −0.839798 | − | 0.542899i | \(-0.817327\pi\) | ||
0.839798 | − | 0.542899i | \(-0.182673\pi\) | |||||||
\(230\) | −0.377812 | + | 5.50946i | −0.0249122 | + | 0.363283i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −17.3363 | − | 17.3363i | −1.13819 | − | 1.13819i | ||||
\(233\) | 11.0617 | + | 11.0617i | 0.724676 | + | 0.724676i | 0.969554 | − | 0.244878i | \(-0.0787480\pi\) |
−0.244878 | + | 0.969554i | \(0.578748\pi\) | |||||||
\(234\) | − | 11.1259i | − | 0.727320i | ||||||
\(235\) | −18.1661 | − | 20.8410i | −1.18502 | − | 1.35952i | ||||
\(236\) | 2.98977 | 0.194618 | ||||||||
\(237\) | −0.377968 | + | 0.377968i | −0.0245517 | + | 0.0245517i | ||||
\(238\) | 0.762808 | + | 0.762808i | 0.0494455 | + | 0.0494455i | ||||
\(239\) | −5.28173 | −0.341647 | −0.170823 | − | 0.985302i | \(-0.554643\pi\) | ||||
−0.170823 | + | 0.985302i | \(0.554643\pi\) | |||||||
\(240\) | 6.08035 | − | 5.29994i | 0.392485 | − | 0.342110i | ||||
\(241\) | − | 16.1676i | − | 1.04144i | −0.853726 | − | 0.520722i | \(-0.825663\pi\) | ||
0.853726 | − | 0.520722i | \(-0.174337\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −11.1488 | + | 11.1488i | −0.715198 | + | 0.715198i | ||||
\(244\) | −1.83032 | −0.117174 | ||||||||
\(245\) | −1.06525 | + | 15.5340i | −0.0680563 | + | 0.992432i | ||||
\(246\) | −8.11439 | −0.517354 | ||||||||
\(247\) | −1.62810 | − | 1.62810i | −0.103594 | − | 0.103594i | ||||
\(248\) | 0.637221 | + | 0.637221i | 0.0404635 | + | 0.0404635i | ||||
\(249\) | 13.3001 | 0.842861 | ||||||||
\(250\) | 14.2156 | − | 9.31348i | 0.899073 | − | 0.589036i | ||||
\(251\) | 19.3427 | 1.22090 | 0.610450 | − | 0.792055i | \(-0.290989\pi\) | ||||
0.610450 | + | 0.792055i | \(0.290989\pi\) | |||||||
\(252\) | −0.0994268 | + | 0.0994268i | −0.00626330 | + | 0.00626330i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 22.1431i | 1.38938i | ||||||||
\(255\) | 0.452044 | − | 6.59194i | 0.0283081 | − | 0.412803i | ||||
\(256\) | 7.28371 | 0.455232 | ||||||||
\(257\) | −3.32773 | − | 3.32773i | −0.207578 | − | 0.207578i | 0.595659 | − | 0.803237i | \(-0.296891\pi\) |
−0.803237 | + | 0.595659i | \(0.796891\pi\) | |||||||
\(258\) | −4.51659 | + | 4.51659i | −0.281191 | + | 0.281191i | ||||
\(259\) | 1.03497 | 0.0643099 | ||||||||
\(260\) | −1.62065 | + | 1.41264i | −0.100509 | + | 0.0876084i | ||||
\(261\) | − | 22.5737i | − | 1.39728i | ||||||
\(262\) | 10.5005 | + | 10.5005i | 0.648720 | + | 0.648720i | ||||
\(263\) | 11.2218 | + | 11.2218i | 0.691964 | + | 0.691964i | 0.962664 | − | 0.270700i | \(-0.0872550\pi\) |
−0.270700 | + | 0.962664i | \(0.587255\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 15.2216 | − | 13.2679i | 0.935053 | − | 0.815040i | ||||
\(266\) | 0.216479i | 0.0132732i | ||||||||
\(267\) | −4.46576 | − | 4.46576i | −0.273300 | − | 0.273300i | ||||
\(268\) | 1.28406 | − | 1.28406i | 0.0784366 | − | 0.0784366i | ||||
\(269\) | − | 11.3124i | − | 0.689729i | −0.938653 | − | 0.344864i | \(-0.887925\pi\) | ||
0.938653 | − | 0.344864i | \(-0.112075\pi\) | |||||||
\(270\) | 14.5022 | + | 0.994489i | 0.882573 | + | 0.0605227i | ||||
\(271\) | 17.8282i | 1.08298i | 0.840706 | + | 0.541492i | \(0.182141\pi\) | ||||
−0.840706 | + | 0.541492i | \(0.817859\pi\) | |||||||
\(272\) | 11.8588 | − | 11.8588i | 0.719047 | − | 0.719047i | ||||
\(273\) | 0.334129 | − | 0.334129i | 0.0202224 | − | 0.0202224i | ||||
\(274\) | −6.58205 | −0.397636 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0.402300 | 0.0242156 | ||||||||
\(277\) | −3.31038 | + | 3.31038i | −0.198901 | + | 0.198901i | −0.799529 | − | 0.600628i | \(-0.794917\pi\) |
0.600628 | + | 0.799529i | \(0.294917\pi\) | |||||||
\(278\) | −11.2972 | + | 11.2972i | −0.677563 | + | 0.677563i | ||||
\(279\) | 0.829727i | 0.0496744i | ||||||||
\(280\) | −1.09690 | − | 0.0752200i | −0.0655521 | − | 0.00449525i | ||||
\(281\) | − | 13.1893i | − | 0.786808i | −0.919366 | − | 0.393404i | \(-0.871297\pi\) | ||
0.919366 | − | 0.393404i | \(-0.128703\pi\) | |||||||
\(282\) | −10.5947 | + | 10.5947i | −0.630907 | + | 0.630907i | ||||
\(283\) | −16.1125 | − | 16.1125i | −0.957789 | − | 0.957789i | 0.0413554 | − | 0.999145i | \(-0.486832\pi\) |
−0.999145 | + | 0.0413554i | \(0.986832\pi\) | |||||||
\(284\) | 3.55990i | 0.211241i | ||||||||
\(285\) | 0.999513 | − | 0.871227i | 0.0592061 | − | 0.0516070i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0.906570 | + | 0.906570i | 0.0535131 | + | 0.0535131i | ||||
\(288\) | 2.91218 | + | 2.91218i | 0.171602 | + | 0.171602i | ||||
\(289\) | 3.26175i | 0.191868i | ||||||||
\(290\) | −24.4621 | + | 21.3224i | −1.43646 | + | 1.25210i | ||||
\(291\) | 1.09936 | 0.0644458 | ||||||||
\(292\) | 0.527499 | − | 0.527499i | 0.0308696 | − | 0.0308696i | ||||
\(293\) | −5.11078 | − | 5.11078i | −0.298575 | − | 0.298575i | 0.541881 | − | 0.840456i | \(-0.317713\pi\) |
−0.840456 | + | 0.541881i | \(0.817713\pi\) | |||||||
\(294\) | 8.43840 | 0.492137 | ||||||||
\(295\) | −1.47260 | + | 21.4742i | −0.0857378 | + | 1.25027i | ||||
\(296\) | − | 13.8810i | − | 0.806817i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 6.19371 | − | 6.19371i | 0.358792 | − | 0.358792i | ||||
\(299\) | 5.02952 | 0.290864 | ||||||||
\(300\) | −0.747736 | − | 0.986745i | −0.0431706 | − | 0.0569698i | ||||
\(301\) | 1.00922 | 0.0581706 | ||||||||
\(302\) | 16.0842 | + | 16.0842i | 0.925543 | + | 0.925543i | ||||
\(303\) | 2.72022 | + | 2.72022i | 0.156272 | + | 0.156272i | ||||
\(304\) | 3.36544 | 0.193021 | ||||||||
\(305\) | 0.901513 | − | 13.1463i | 0.0516205 | − | 0.752757i | ||||
\(306\) | 13.3215 | 0.761541 | ||||||||
\(307\) | 20.1272 | − | 20.1272i | 1.14872 | − | 1.14872i | 0.161918 | − | 0.986804i | \(-0.448232\pi\) |
0.986804 | − | 0.161918i | \(-0.0517681\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | − | 2.58088i | − | 0.146821i | ||||||
\(310\) | 0.899138 | − | 0.783734i | 0.0510676 | − | 0.0445131i | ||||
\(311\) | −7.51588 | −0.426187 | −0.213093 | − | 0.977032i | \(-0.568354\pi\) | ||||
−0.213093 | + | 0.977032i | \(0.568354\pi\) | |||||||
\(312\) | −4.48134 | − | 4.48134i | −0.253706 | − | 0.253706i | ||||
\(313\) | 0.951824 | − | 0.951824i | 0.0538003 | − | 0.0538003i | −0.679695 | − | 0.733495i | \(-0.737888\pi\) |
0.733495 | + | 0.679695i | \(0.237888\pi\) | |||||||
\(314\) | 7.52146 | 0.424460 | ||||||||
\(315\) | −0.665164 | − | 0.763109i | −0.0374778 | − | 0.0429963i | ||||
\(316\) | 0.208246i | 0.0117148i | ||||||||
\(317\) | 8.01290 | + | 8.01290i | 0.450049 | + | 0.450049i | 0.895371 | − | 0.445322i | \(-0.146911\pi\) |
−0.445322 | + | 0.895371i | \(0.646911\pi\) | |||||||
\(318\) | −7.73803 | − | 7.73803i | −0.433927 | − | 0.433927i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −0.979335 | + | 14.2812i | −0.0547465 | + | 0.798342i | ||||
\(321\) | 8.81375i | 0.491936i | ||||||||
\(322\) | −0.334373 | − | 0.334373i | −0.0186339 | − | 0.0186339i | ||||
\(323\) | 1.94940 | − | 1.94940i | 0.108468 | − | 0.108468i | ||||
\(324\) | 1.14416i | 0.0635647i | ||||||||
\(325\) | −9.34812 | − | 12.3362i | −0.518540 | − | 0.684288i | ||||
\(326\) | − | 15.2260i | − | 0.843289i | ||||||
\(327\) | −5.37912 | + | 5.37912i | −0.297466 | + | 0.297466i | ||||
\(328\) | 12.1589 | − | 12.1589i | 0.671364 | − | 0.671364i | ||||
\(329\) | 2.36737 | 0.130517 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −17.7048 | −0.973145 | −0.486572 | − | 0.873640i | \(-0.661753\pi\) | ||||
−0.486572 | + | 0.873640i | \(0.661753\pi\) | |||||||
\(332\) | 3.66394 | − | 3.66394i | 0.201085 | − | 0.201085i | ||||
\(333\) | 9.03725 | − | 9.03725i | 0.495238 | − | 0.495238i | ||||
\(334\) | − | 18.3354i | − | 1.00327i | ||||||
\(335\) | 8.59037 | + | 9.85529i | 0.469342 | + | 0.538452i | ||||
\(336\) | 0.690678i | 0.0376796i | ||||||||
\(337\) | −5.38821 | + | 5.38821i | −0.293515 | + | 0.293515i | −0.838467 | − | 0.544952i | \(-0.816548\pi\) |
0.544952 | + | 0.838467i | \(0.316548\pi\) | |||||||
\(338\) | −3.67302 | − | 3.67302i | −0.199786 | − | 0.199786i | ||||
\(339\) | − | 3.30664i | − | 0.179592i | ||||||
\(340\) | −1.69143 | − | 1.94049i | −0.0917305 | − | 0.105238i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 1.89027 | + | 1.89027i | 0.102214 | + | 0.102214i | ||||
\(343\) | −1.89050 | − | 1.89050i | −0.102078 | − | 0.102078i | ||||
\(344\) | − | 13.5357i | − | 0.729795i | ||||||
\(345\) | −0.198151 | + | 2.88954i | −0.0106681 | + | 0.155567i | ||||
\(346\) | 18.9477 | 1.01864 | ||||||||
\(347\) | 6.59993 | − | 6.59993i | 0.354303 | − | 0.354303i | −0.507405 | − | 0.861708i | \(-0.669395\pi\) |
0.861708 | + | 0.507405i | \(0.169395\pi\) | |||||||
\(348\) | 1.67159 | + | 1.67159i | 0.0896068 | + | 0.0896068i | ||||
\(349\) | 1.50177 | 0.0803880 | 0.0401940 | − | 0.999192i | \(-0.487202\pi\) | ||||
0.0401940 | + | 0.999192i | \(0.487202\pi\) | |||||||
\(350\) | −0.198653 | + | 1.44162i | −0.0106184 | + | 0.0770577i | ||||
\(351\) | − | 13.2388i | − | 0.706637i | ||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 4.40229 | − | 4.40229i | 0.234310 | − | 0.234310i | −0.580179 | − | 0.814489i | \(-0.697017\pi\) |
0.814489 | + | 0.580179i | \(0.197017\pi\) | |||||||
\(354\) | 11.6652 | 0.619999 | ||||||||
\(355\) | −25.5691 | − | 1.75341i | −1.35707 | − | 0.0930612i | ||||
\(356\) | −2.46047 | −0.130405 | ||||||||
\(357\) | 0.400069 | + | 0.400069i | 0.0211739 | + | 0.0211739i | ||||
\(358\) | −21.6888 | − | 21.6888i | −1.14629 | − | 1.14629i | ||||
\(359\) | 26.3042 | 1.38828 | 0.694142 | − | 0.719838i | \(-0.255784\pi\) | ||||
0.694142 | + | 0.719838i | \(0.255784\pi\) | |||||||
\(360\) | −10.2348 | + | 8.92118i | −0.539422 | + | 0.470187i | ||||
\(361\) | −18.4468 | −0.970883 | ||||||||
\(362\) | 4.95475 | − | 4.95475i | 0.260416 | − | 0.260416i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | − | 0.184093i | − | 0.00964908i | ||||||
\(365\) | 3.52897 | + | 4.04860i | 0.184715 | + | 0.211913i | ||||
\(366\) | −7.14136 | −0.373285 | ||||||||
\(367\) | 5.77642 | + | 5.77642i | 0.301527 | + | 0.301527i | 0.841611 | − | 0.540084i | \(-0.181608\pi\) |
−0.540084 | + | 0.841611i | \(0.681608\pi\) | |||||||
\(368\) | −5.19825 | + | 5.19825i | −0.270978 | + | 0.270978i | ||||
\(369\) | 15.8322 | 0.824189 | ||||||||
\(370\) | −18.3296 | − | 1.25695i | −0.952908 | − | 0.0653459i | ||||
\(371\) | 1.72904i | 0.0897675i | ||||||||
\(372\) | −0.0614416 | − | 0.0614416i | −0.00318560 | − | 0.00318560i | ||||
\(373\) | 6.12473 | + | 6.12473i | 0.317126 | + | 0.317126i | 0.847662 | − | 0.530536i | \(-0.178009\pi\) |
−0.530536 | + | 0.847662i | \(0.678009\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 7.45563 | − | 4.88463i | 0.385007 | − | 0.252241i | ||||
\(376\) | − | 31.7511i | − | 1.63744i | ||||||
\(377\) | 20.8981 | + | 20.8981i | 1.07631 | + | 1.07631i | ||||
\(378\) | −0.880145 | + | 0.880145i | −0.0452698 | + | 0.0452698i | ||||
\(379\) | − | 0.618390i | − | 0.0317646i | −0.999874 | − | 0.0158823i | \(-0.994944\pi\) | ||
0.999874 | − | 0.0158823i | \(-0.00505570\pi\) | |||||||
\(380\) | 0.0353405 | − | 0.515354i | 0.00181293 | − | 0.0264371i | ||||
\(381\) | 11.6133i | 0.594969i | ||||||||
\(382\) | 6.79980 | − | 6.79980i | 0.347908 | − | 0.347908i | ||||
\(383\) | −7.33899 | + | 7.33899i | −0.375005 | + | 0.375005i | −0.869296 | − | 0.494292i | \(-0.835428\pi\) |
0.494292 | + | 0.869296i | \(0.335428\pi\) | |||||||
\(384\) | 10.5351 | 0.537617 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 9.01683 | 0.458945 | ||||||||
\(387\) | 8.81242 | − | 8.81242i | 0.447961 | − | 0.447961i | ||||
\(388\) | 0.302854 | − | 0.302854i | 0.0153751 | − | 0.0153751i | ||||
\(389\) | − | 22.1469i | − | 1.12289i | −0.827513 | − | 0.561447i | \(-0.810245\pi\) | ||
0.827513 | − | 0.561447i | \(-0.189755\pi\) | |||||||
\(390\) | −6.32330 | + | 5.51171i | −0.320193 | + | 0.279097i | ||||
\(391\) | 6.02208i | 0.304550i | ||||||||
\(392\) | −12.6444 | + | 12.6444i | −0.638640 | + | 0.638640i | ||||
\(393\) | 5.50716 | + | 5.50716i | 0.277799 | + | 0.277799i | ||||
\(394\) | − | 21.2930i | − | 1.07273i | ||||||
\(395\) | −1.49574 | − | 0.102571i | −0.0752587 | − | 0.00516089i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 10.7769 | + | 10.7769i | 0.540876 | + | 0.540876i | 0.923786 | − | 0.382910i | \(-0.125078\pi\) |
−0.382910 | + | 0.923786i | \(0.625078\pi\) | |||||||
\(398\) | −14.3844 | − | 14.3844i | −0.721027 | − | 0.721027i | ||||
\(399\) | 0.113536i | 0.00568393i | ||||||||
\(400\) | 22.4118 | + | 3.08831i | 1.12059 | + | 0.154416i | ||||
\(401\) | −4.28172 | −0.213819 | −0.106909 | − | 0.994269i | \(-0.534096\pi\) | ||||
−0.106909 | + | 0.994269i | \(0.534096\pi\) | |||||||
\(402\) | 5.01003 | − | 5.01003i | 0.249878 | − | 0.249878i | ||||
\(403\) | −0.768137 | − | 0.768137i | −0.0382636 | − | 0.0382636i | ||||
\(404\) | 1.49874 | 0.0745650 | ||||||||
\(405\) | −8.21800 | − | 0.563552i | −0.408356 | − | 0.0280031i | ||||
\(406\) | − | 2.77869i | − | 0.137904i | ||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 5.36572 | − | 5.36572i | 0.265643 | − | 0.265643i | ||||
\(409\) | −4.29562 | −0.212405 | −0.106202 | − | 0.994345i | \(-0.533869\pi\) | ||||
−0.106202 | + | 0.994345i | \(0.533869\pi\) | |||||||
\(410\) | −14.9546 | − | 17.1566i | −0.738553 | − | 0.847304i | ||||
\(411\) | −3.45208 | −0.170279 | ||||||||
\(412\) | −0.710985 | − | 0.710985i | −0.0350277 | − | 0.0350277i | ||||
\(413\) | −1.30328 | − | 1.30328i | −0.0641303 | − | 0.0641303i | ||||
\(414\) | −5.83942 | −0.286992 | ||||||||
\(415\) | 24.5117 | + | 28.1210i | 1.20323 | + | 1.38041i | ||||
\(416\) | −5.39202 | −0.264366 | ||||||||
\(417\) | −5.92504 | + | 5.92504i | −0.290151 | + | 0.290151i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 1.20241i | 0.0587414i | 0.999569 | + | 0.0293707i | \(0.00935032\pi\) | ||||
−0.999569 | + | 0.0293707i | \(0.990650\pi\) | |||||||
\(420\) | 0.105764 | + | 0.00725281i | 0.00516077 | + | 0.000353901i | ||||
\(421\) | 31.3087 | 1.52589 | 0.762947 | − | 0.646461i | \(-0.223752\pi\) | ||||
0.762947 | + | 0.646461i | \(0.223752\pi\) | |||||||
\(422\) | −6.37639 | − | 6.37639i | −0.310398 | − | 0.310398i | ||||
\(423\) | 20.6716 | − | 20.6716i | 1.00509 | − | 1.00509i | ||||
\(424\) | 23.1899 | 1.12620 | ||||||||
\(425\) | 14.7707 | − | 11.1930i | 0.716485 | − | 0.542938i | ||||
\(426\) | 13.8897i | 0.672957i | ||||||||
\(427\) | 0.797860 | + | 0.797860i | 0.0386111 | + | 0.0386111i | ||||
\(428\) | 2.42802 | + | 2.42802i | 0.117363 | + | 0.117363i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −17.8736 | − | 1.22568i | −0.861940 | − | 0.0591078i | ||||
\(431\) | 9.89129i | 0.476446i | 0.971210 | + | 0.238223i | \(0.0765650\pi\) | ||||
−0.971210 | + | 0.238223i | \(0.923435\pi\) | |||||||
\(432\) | 13.6830 | + | 13.6830i | 0.658323 | + | 0.658323i | ||||
\(433\) | −19.0794 | + | 19.0794i | −0.916896 | + | 0.916896i | −0.996802 | − | 0.0799066i | \(-0.974538\pi\) |
0.0799066 | + | 0.996802i | \(0.474538\pi\) | |||||||
\(434\) | 0.102135i | 0.00490262i | ||||||||
\(435\) | −12.8296 | + | 11.1829i | −0.615133 | + | 0.536181i | ||||
\(436\) | 2.96369i | 0.141935i | ||||||||
\(437\) | −0.854510 | + | 0.854510i | −0.0408768 | + | 0.0408768i | ||||
\(438\) | 2.05815 | − | 2.05815i | 0.0983420 | − | 0.0983420i | ||||
\(439\) | −24.5862 | −1.17344 | −0.586718 | − | 0.809791i | \(-0.699580\pi\) | ||||
−0.586718 | + | 0.809791i | \(0.699580\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −16.4643 | −0.784016 | ||||||||
\(442\) | −12.3327 | + | 12.3327i | −0.586606 | + | 0.586606i | ||||
\(443\) | 21.7769 | − | 21.7769i | 1.03465 | − | 1.03465i | 0.0352717 | − | 0.999378i | \(-0.488770\pi\) |
0.999378 | − | 0.0352717i | \(-0.0112296\pi\) | |||||||
\(444\) | 1.33842i | 0.0635188i | ||||||||
\(445\) | 1.21189 | − | 17.6724i | 0.0574491 | − | 0.837753i | ||||
\(446\) | 32.3098i | 1.52992i | ||||||||
\(447\) | 3.24841 | − | 3.24841i | 0.153644 | − | 0.153644i | ||||
\(448\) | −0.866734 | − | 0.866734i | −0.0409493 | − | 0.0409493i | ||||
\(449\) | 7.32471i | 0.345674i | 0.984950 | + | 0.172837i | \(0.0552935\pi\) | ||||
−0.984950 | + | 0.172837i | \(0.944707\pi\) | |||||||
\(450\) | 10.8534 | + | 14.3227i | 0.511636 | + | 0.675177i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | −0.910918 | − | 0.910918i | −0.0428460 | − | 0.0428460i | ||||
\(453\) | 8.43567 | + | 8.43567i | 0.396342 | + | 0.396342i | ||||
\(454\) | 19.8674i | 0.932425i | ||||||||
\(455\) | 1.32225 | + | 0.0906738i | 0.0619882 | + | 0.00425085i | ||||
\(456\) | 1.52275 | 0.0713093 | ||||||||
\(457\) | 4.76277 | − | 4.76277i | 0.222793 | − | 0.222793i | −0.586880 | − | 0.809674i | \(-0.699644\pi\) |
0.809674 | + | 0.586880i | \(0.199644\pi\) | |||||||
\(458\) | −17.6609 | − | 17.6609i | −0.825240 | − | 0.825240i | ||||
\(459\) | 15.8515 | 0.739885 | ||||||||
\(460\) | 0.741427 | + | 0.850601i | 0.0345692 | + | 0.0396595i | ||||
\(461\) | 29.0801i | 1.35440i | 0.735801 | + | 0.677198i | \(0.236806\pi\) | ||||
−0.735801 | + | 0.677198i | \(0.763194\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 17.5146 | − | 17.5146i | 0.813970 | − | 0.813970i | −0.171256 | − | 0.985227i | \(-0.554783\pi\) |
0.985227 | + | 0.171256i | \(0.0547826\pi\) | |||||||
\(464\) | −43.1984 | −2.00543 | ||||||||
\(465\) | 0.471570 | − | 0.411044i | 0.0218685 | − | 0.0190617i | ||||
\(466\) | 23.7792 | 1.10155 | ||||||||
\(467\) | 18.7084 | + | 18.7084i | 0.865723 | + | 0.865723i | 0.991996 | − | 0.126273i | \(-0.0403015\pi\) |
−0.126273 | + | 0.991996i | \(0.540302\pi\) | |||||||
\(468\) | −1.60748 | − | 1.60748i | −0.0743057 | − | 0.0743057i | ||||
\(469\) | −1.11948 | −0.0516928 | ||||||||
\(470\) | −41.9266 | − | 2.87513i | −1.93393 | − | 0.132620i | ||||
\(471\) | 3.94477 | 0.181765 | ||||||||
\(472\) | −17.4796 | + | 17.4796i | −0.804563 | + | 0.804563i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 0.812515i | 0.0373201i | ||||||||
\(475\) | 3.68414 | + | 0.507669i | 0.169040 | + | 0.0232935i | ||||
\(476\) | 0.220423 | 0.0101031 | ||||||||
\(477\) | 15.0978 | + | 15.0978i | 0.691283 | + | 0.691283i | ||||
\(478\) | −5.67705 | + | 5.67705i | −0.259662 | + | 0.259662i | ||||
\(479\) | −26.2551 | −1.19963 | −0.599814 | − | 0.800140i | \(-0.704759\pi\) | ||||
−0.599814 | + | 0.800140i | \(0.704759\pi\) | |||||||
\(480\) | 0.212433 | − | 3.09780i | 0.00969618 | − | 0.141395i | ||||
\(481\) | 16.7328i | 0.762951i | ||||||||
\(482\) | −17.3776 | − | 17.3776i | −0.791530 | − | 0.791530i | ||||
\(483\) | −0.175368 | − | 0.175368i | −0.00797952 | − | 0.00797952i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 2.02609 | + | 2.32443i | 0.0920001 | + | 0.105547i | ||||
\(486\) | 23.9666i | 1.08715i | ||||||||
\(487\) | −16.5004 | − | 16.5004i | −0.747705 | − | 0.747705i | 0.226343 | − | 0.974048i | \(-0.427323\pi\) |
−0.974048 | + | 0.226343i | \(0.927323\pi\) | |||||||
\(488\) | 10.7009 | − | 10.7009i | 0.484406 | − | 0.484406i | ||||
\(489\) | − | 7.98555i | − | 0.361119i | ||||||
\(490\) | 15.5517 | + | 17.8417i | 0.702554 | + | 0.806004i | ||||
\(491\) | 18.3477i | 0.828019i | 0.910273 | + | 0.414009i | \(0.135872\pi\) | ||||
−0.910273 | + | 0.414009i | \(0.864128\pi\) | |||||||
\(492\) | −1.17238 | + | 1.17238i | −0.0528549 | + | 0.0528549i | ||||
\(493\) | −25.0223 | + | 25.0223i | −1.12695 | + | 1.12695i | ||||
\(494\) | −3.49992 | −0.157469 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.58781 | 0.0712949 | ||||||||
\(497\) | 1.55181 | − | 1.55181i | 0.0696080 | − | 0.0696080i | ||||
\(498\) | 14.2956 | − | 14.2956i | 0.640601 | − | 0.640601i | ||||
\(499\) | 11.7579i | 0.526356i | 0.964747 | + | 0.263178i | \(0.0847707\pi\) | ||||
−0.964747 | + | 0.263178i | \(0.915229\pi\) | |||||||
\(500\) | 0.708263 | − | 3.39951i | 0.0316745 | − | 0.152031i | ||||
\(501\) | − | 9.61633i | − | 0.429626i | ||||||
\(502\) | 20.7904 | − | 20.7904i | 0.927922 | − | 0.927922i | ||||
\(503\) | 3.77641 | + | 3.77641i | 0.168382 | + | 0.168382i | 0.786268 | − | 0.617886i | \(-0.212011\pi\) |
−0.617886 | + | 0.786268i | \(0.712011\pi\) | |||||||
\(504\) | − | 1.16259i | − | 0.0517859i | ||||||
\(505\) | −0.738195 | + | 10.7647i | −0.0328492 | + | 0.479025i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −1.92638 | − | 1.92638i | −0.0855536 | − | 0.0855536i | ||||
\(508\) | 3.19926 | + | 3.19926i | 0.141944 | + | 0.141944i | ||||
\(509\) | 19.5870i | 0.868179i | 0.900870 | + | 0.434089i | \(0.142930\pi\) | ||||
−0.900870 | + | 0.434089i | \(0.857070\pi\) | |||||||
\(510\) | −6.59944 | − | 7.57120i | −0.292228 | − | 0.335258i | ||||
\(511\) | −0.459888 | −0.0203442 | ||||||||
\(512\) | −10.8595 | + | 10.8595i | −0.479928 | + | 0.479928i | ||||
\(513\) | 2.24927 | + | 2.24927i | 0.0993075 | + | 0.0993075i | ||||
\(514\) | −7.15359 | −0.315532 | ||||||||
\(515\) | 5.45687 | − | 4.75649i | 0.240459 | − | 0.209596i | ||||
\(516\) | 1.30513i | 0.0574550i | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 1.11243 | − | 1.11243i | 0.0488775 | − | 0.0488775i | ||||
\(519\) | 9.93748 | 0.436207 | ||||||||
\(520\) | 1.21612 | − | 17.7340i | 0.0533302 | − | 0.777689i | ||||
\(521\) | 18.7340 | 0.820752 | 0.410376 | − | 0.911916i | \(-0.365397\pi\) | ||||
0.410376 | + | 0.911916i | \(0.365397\pi\) | |||||||
\(522\) | −24.2633 | − | 24.2633i | −1.06197 | − | 1.06197i | ||||
\(523\) | −1.82596 | − | 1.82596i | −0.0798437 | − | 0.0798437i | 0.666057 | − | 0.745901i | \(-0.267981\pi\) |
−0.745901 | + | 0.666057i | \(0.767981\pi\) | |||||||
\(524\) | 3.03424 | 0.132551 | ||||||||
\(525\) | −0.104187 | + | 0.756083i | −0.00454710 | + | 0.0329982i | ||||
\(526\) | 24.1234 | 1.05183 | ||||||||
\(527\) | 0.919727 | − | 0.919727i | 0.0400639 | − | 0.0400639i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 20.3603i | 0.885228i | ||||||||
\(530\) | 2.09990 | − | 30.6218i | 0.0912137 | − | 1.33013i | ||||
\(531\) | −22.7602 | −0.987710 | ||||||||
\(532\) | 0.0312772 | + | 0.0312772i | 0.00135604 | + | 0.00135604i | ||||
\(533\) | −14.6569 | + | 14.6569i | −0.634863 | + | 0.634863i | ||||
\(534\) | −9.60002 | −0.415433 | ||||||||
\(535\) | −18.6353 | + | 16.2435i | −0.805674 | + | 0.702266i | ||||
\(536\) | 15.0145i | 0.648526i | ||||||||
\(537\) | −11.3751 | − | 11.3751i | −0.490873 | − | 0.490873i | ||||
\(538\) | −12.1591 | − | 12.1591i | −0.524216 | − | 0.524216i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 2.23898 | − | 1.95161i | 0.0963502 | − | 0.0839837i | ||||
\(541\) | − | 9.23515i | − | 0.397050i | −0.980096 | − | 0.198525i | \(-0.936385\pi\) | ||
0.980096 | − | 0.198525i | \(-0.0636151\pi\) | |||||||
\(542\) | 19.1626 | + | 19.1626i | 0.823102 | + | 0.823102i | ||||
\(543\) | 2.59861 | − | 2.59861i | 0.111517 | − | 0.111517i | ||||
\(544\) | − | 6.45613i | − | 0.276804i | ||||||
\(545\) | −21.2868 | − | 1.45975i | −0.911828 | − | 0.0625288i | ||||
\(546\) | − | 0.718275i | − | 0.0307393i | ||||||
\(547\) | 0.757332 | − | 0.757332i | 0.0323812 | − | 0.0323812i | −0.690731 | − | 0.723112i | \(-0.742711\pi\) |
0.723112 | + | 0.690731i | \(0.242711\pi\) | |||||||
\(548\) | −0.950984 | + | 0.950984i | −0.0406240 | + | 0.0406240i | ||||
\(549\) | 13.9337 | 0.594674 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −7.10113 | −0.302518 | ||||||||
\(552\) | −2.35203 | + | 2.35203i | −0.100109 | + | 0.100109i | ||||
\(553\) | 0.0907773 | − | 0.0907773i | 0.00386024 | − | 0.00386024i | ||||
\(554\) | 7.11630i | 0.302343i | ||||||||
\(555\) | −9.61328 | − | 0.659233i | −0.408061 | − | 0.0279829i | ||||
\(556\) | 3.26448i | 0.138445i | ||||||||
\(557\) | 30.4317 | − | 30.4317i | 1.28943 | − | 1.28943i | 0.354304 | − | 0.935130i | \(-0.384718\pi\) |
0.935130 | − | 0.354304i | \(-0.115282\pi\) | |||||||
\(558\) | 0.891829 | + | 0.891829i | 0.0377541 | + | 0.0377541i | ||||
\(559\) | 16.3166i | 0.690117i | ||||||||
\(560\) | −1.46033 | + | 1.27290i | −0.0617102 | + | 0.0537897i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −14.1765 | − | 14.1765i | −0.597998 | − | 0.597998i | ||||
\(563\) | 18.2874 | + | 18.2874i | 0.770722 | + | 0.770722i | 0.978233 | − | 0.207511i | \(-0.0665362\pi\) |
−0.207511 | + | 0.978233i | \(0.566536\pi\) | |||||||
\(564\) | 3.06148i | 0.128912i | ||||||||
\(565\) | 6.99137 | − | 6.09404i | 0.294129 | − | 0.256378i | ||||
\(566\) | −34.6369 | −1.45590 | ||||||||
\(567\) | 0.498756 | − | 0.498756i | 0.0209458 | − | 0.0209458i | ||||
\(568\) | −20.8128 | − | 20.8128i | −0.873286 | − | 0.873286i | ||||
\(569\) | 27.1717 | 1.13910 | 0.569548 | − | 0.821958i | \(-0.307118\pi\) | ||||
0.569548 | + | 0.821958i | \(0.307118\pi\) | |||||||
\(570\) | 0.137888 | − | 2.01076i | 0.00577550 | − | 0.0842214i | ||||
\(571\) | 40.5475i | 1.69686i | 0.529308 | + | 0.848430i | \(0.322451\pi\) | ||||
−0.529308 | + | 0.848430i | \(0.677549\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 3.56628 | − | 3.56628i | 0.148984 | − | 0.148984i | ||||
\(574\) | 1.94885 | 0.0813433 | ||||||||
\(575\) | −6.47466 | + | 4.90637i | −0.270012 | + | 0.204610i | ||||
\(576\) | −15.1365 | −0.630686 | ||||||||
\(577\) | −23.9058 | − | 23.9058i | −0.995212 | − | 0.995212i | 0.00477680 | − | 0.999989i | \(-0.498479\pi\) |
−0.999989 | + | 0.00477680i | \(0.998479\pi\) | |||||||
\(578\) | 3.50588 | + | 3.50588i | 0.145826 | + | 0.145826i | ||||
\(579\) | 4.72905 | 0.196532 | ||||||||
\(580\) | −0.453626 | + | 6.61501i | −0.0188358 | + | 0.274673i | ||||
\(581\) | −3.19432 | −0.132523 | ||||||||
\(582\) | 1.18165 | − | 1.18165i | 0.0489808 | − | 0.0489808i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 6.16801i | 0.255234i | ||||||||
\(585\) | 12.3375 | − | 10.7540i | 0.510094 | − | 0.444624i | ||||
\(586\) | −10.9866 | −0.453853 | ||||||||
\(587\) | 6.84769 | + | 6.84769i | 0.282634 | + | 0.282634i | 0.834159 | − | 0.551524i | \(-0.185954\pi\) |
−0.551524 | + | 0.834159i | \(0.685954\pi\) | |||||||
\(588\) | 1.21919 | − | 1.21919i | 0.0502786 | − | 0.0502786i | ||||
\(589\) | 0.261011 | 0.0107548 | ||||||||
\(590\) | 21.4986 | + | 24.6642i | 0.885084 | + | 1.01541i | ||||
\(591\) | − | 11.1675i | − | 0.459371i | ||||||
\(592\) | −17.2942 | − | 17.2942i | −0.710787 | − | 0.710787i | ||||
\(593\) | −14.0452 | − | 14.0452i | −0.576769 | − | 0.576769i | 0.357243 | − | 0.934012i | \(-0.383717\pi\) |
−0.934012 | + | 0.357243i | \(0.883717\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.108568 | + | 1.58320i | −0.00445086 | + | 0.0649048i | ||||
\(596\) | − | 1.78975i | − | 0.0733111i | ||||||
\(597\) | −7.54419 | − | 7.54419i | −0.308763 | − | 0.308763i | ||||
\(598\) | 5.40596 | − | 5.40596i | 0.221066 | − | 0.221066i | ||||
\(599\) | 4.51582i | 0.184512i | 0.995735 | + | 0.0922558i | \(0.0294077\pi\) | ||||
−0.995735 | + | 0.0922558i | \(0.970592\pi\) | |||||||
\(600\) | 10.1406 | + | 1.39736i | 0.413987 | + | 0.0570469i | ||||
\(601\) | − | 8.37748i | − | 0.341725i | −0.985295 | − | 0.170862i | \(-0.945345\pi\) | ||
0.985295 | − | 0.170862i | \(-0.0546553\pi\) | |||||||
\(602\) | 1.08476 | − | 1.08476i | 0.0442115 | − | 0.0442115i | ||||
\(603\) | −9.77518 | + | 9.77518i | −0.398076 | + | 0.398076i | ||||
\(604\) | 4.64774 | 0.189114 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 5.84763 | 0.237544 | ||||||||
\(607\) | −5.42972 | + | 5.42972i | −0.220386 | + | 0.220386i | −0.808661 | − | 0.588275i | \(-0.799807\pi\) |
0.588275 | + | 0.808661i | \(0.299807\pi\) | |||||||
\(608\) | 0.916100 | − | 0.916100i | 0.0371528 | − | 0.0371528i | ||||
\(609\) | − | 1.45734i | − | 0.0590543i | ||||||
\(610\) | −13.1613 | − | 15.0993i | −0.532886 | − | 0.611352i | ||||
\(611\) | 38.2743i | 1.54841i | ||||||||
\(612\) | 1.92471 | − | 1.92471i | 0.0778019 | − | 0.0778019i | ||||
\(613\) | −30.3535 | − | 30.3535i | −1.22597 | − | 1.22597i | −0.965476 | − | 0.260492i | \(-0.916115\pi\) |
−0.260492 | − | 0.965476i | \(-0.583885\pi\) | |||||||
\(614\) | − | 43.2674i | − | 1.74613i | ||||||
\(615\) | −7.84320 | − | 8.99810i | −0.316268 | − | 0.362838i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 33.4407 | + | 33.4407i | 1.34627 | + | 1.34627i | 0.889671 | + | 0.456601i | \(0.150933\pi\) |
0.456601 | + | 0.889671i | \(0.349067\pi\) | |||||||
\(618\) | −2.77405 | − | 2.77405i | −0.111589 | − | 0.111589i | ||||
\(619\) | 21.1001i | 0.848084i | 0.905642 | + | 0.424042i | \(0.139389\pi\) | ||||
−0.905642 | + | 0.424042i | \(0.860611\pi\) | |||||||
\(620\) | 0.0166736 | − | 0.243144i | 0.000669629 | − | 0.00976488i | ||||
\(621\) | −6.94842 | −0.278830 | ||||||||
\(622\) | −8.07842 | + | 8.07842i | −0.323915 | + | 0.323915i | ||||
\(623\) | 1.07255 | + | 1.07255i | 0.0429708 | + | 0.0429708i | ||||
\(624\) | −11.1665 | −0.447018 | ||||||||
\(625\) | 24.0683 | + | 6.76153i | 0.962731 | + | 0.270461i | ||||
\(626\) | − | 2.04613i | − | 0.0817798i | ||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 1.08671 | − | 1.08671i | 0.0433645 | − | 0.0433645i | ||||
\(629\) | −20.0350 | −0.798849 | ||||||||
\(630\) | −1.53517 | − | 0.105275i | −0.0611628 | − | 0.00419426i | ||||
\(631\) | −28.2199 | −1.12342 | −0.561708 | − | 0.827335i | \(-0.689856\pi\) | ||||
−0.561708 | + | 0.827335i | \(0.689856\pi\) | |||||||
\(632\) | −1.21750 | − | 1.21750i | −0.0484297 | − | 0.0484297i | ||||
\(633\) | −3.34422 | − | 3.34422i | −0.132921 | − | 0.132921i | ||||
\(634\) | 17.2253 | 0.684103 | ||||||||
\(635\) | −24.5546 | + | 21.4030i | −0.974418 | + | 0.849353i | ||||
\(636\) | −2.23600 | −0.0886633 | ||||||||
\(637\) | 15.2422 | − | 15.2422i | 0.603918 | − | 0.603918i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | − | 27.1004i | − | 1.07208i | ||||||
\(640\) | 19.4159 | + | 22.2748i | 0.767479 | + | 0.880489i | ||||
\(641\) | −16.9387 | −0.669040 | −0.334520 | − | 0.942389i | \(-0.608574\pi\) | ||||
−0.334520 | + | 0.942389i | \(0.608574\pi\) | |||||||
\(642\) | 9.47343 | + | 9.47343i | 0.373886 | + | 0.373886i | ||||
\(643\) | −4.43755 | + | 4.43755i | −0.175000 | + | 0.175000i | −0.789172 | − | 0.614172i | \(-0.789490\pi\) |
0.614172 | + | 0.789172i | \(0.289490\pi\) | |||||||
\(644\) | −0.0966212 | −0.00380741 | ||||||||
\(645\) | −9.37413 | − | 0.642833i | −0.369106 | − | 0.0253115i | ||||
\(646\) | − | 4.19062i | − | 0.164878i | ||||||
\(647\) | 30.7501 | + | 30.7501i | 1.20891 | + | 1.20891i | 0.971380 | + | 0.237529i | \(0.0763375\pi\) |
0.237529 | + | 0.971380i | \(0.423662\pi\) | |||||||
\(648\) | −6.68931 | − | 6.68931i | −0.262781 | − | 0.262781i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −23.3073 | − | 3.21171i | −0.914188 | − | 0.125974i | ||||
\(651\) | 0.0535664i | 0.00209943i | ||||||||
\(652\) | −2.19987 | − | 2.19987i | −0.0861535 | − | 0.0861535i | ||||
\(653\) | 6.88088 | − | 6.88088i | 0.269270 | − | 0.269270i | −0.559536 | − | 0.828806i | \(-0.689021\pi\) |
0.828806 | + | 0.559536i | \(0.189021\pi\) | |||||||
\(654\) | 11.5634i | 0.452167i | ||||||||
\(655\) | −1.49450 | + | 21.7935i | −0.0583948 | + | 0.851544i | ||||
\(656\) | − | 30.2973i | − | 1.18291i | ||||||
\(657\) | −4.01569 | + | 4.01569i | −0.156667 | + | 0.156667i | ||||
\(658\) | 2.54455 | − | 2.54455i | 0.0991971 | − | 0.0991971i | ||||
\(659\) | −3.37375 | −0.131423 | −0.0657113 | − | 0.997839i | \(-0.520932\pi\) | ||||
−0.0657113 | + | 0.997839i | \(0.520932\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 9.93056 | 0.386254 | 0.193127 | − | 0.981174i | \(-0.438137\pi\) | ||||
0.193127 | + | 0.981174i | \(0.438137\pi\) | |||||||
\(662\) | −19.0300 | + | 19.0300i | −0.739620 | + | 0.739620i | ||||
\(663\) | −6.46810 | + | 6.46810i | −0.251200 | + | 0.251200i | ||||
\(664\) | 42.8421i | 1.66260i | ||||||||
\(665\) | −0.240055 | + | 0.209244i | −0.00930893 | + | 0.00811414i | ||||
\(666\) | − | 19.4273i | − | 0.752793i | ||||||
\(667\) | 10.9684 | − | 10.9684i | 0.424697 | − | 0.424697i | ||||
\(668\) | −2.64912 | − | 2.64912i | −0.102498 | − | 0.102498i | ||||
\(669\) | 16.9455i | 0.655151i | ||||||||
\(670\) | 19.8263 | + | 1.35959i | 0.765955 | + | 0.0525256i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 0.188008 | + | 0.188008i | 0.00725256 | + | 0.00725256i | ||||
\(673\) | 27.0491 | + | 27.0491i | 1.04267 | + | 1.04267i | 0.999048 | + | 0.0436186i | \(0.0138886\pi\) |
0.0436186 | + | 0.999048i | \(0.486111\pi\) | |||||||
\(674\) | 11.5830i | 0.446161i | ||||||||
\(675\) | 12.9147 | + | 17.0428i | 0.497087 | + | 0.655977i | ||||
\(676\) | −1.06136 | −0.0408217 | ||||||||
\(677\) | 22.7631 | − | 22.7631i | 0.874857 | − | 0.874857i | −0.118140 | − | 0.992997i | \(-0.537693\pi\) |
0.992997 | + | 0.118140i | \(0.0376931\pi\) | |||||||
\(678\) | −3.55413 | − | 3.55413i | −0.136496 | − | 0.136496i | ||||
\(679\) | −0.264036 | −0.0101328 | ||||||||
\(680\) | 21.2338 | + | 1.45612i | 0.814280 | + | 0.0558395i | ||||
\(681\) | 10.4198i | 0.399289i | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −28.7223 | + | 28.7223i | −1.09903 | + | 1.09903i | −0.104505 | + | 0.994524i | \(0.533326\pi\) |
−0.994524 | + | 0.104505i | \(0.966674\pi\) | |||||||
\(684\) | 0.546218 | 0.0208852 | ||||||||
\(685\) | −6.36208 | − | 7.29888i | −0.243082 | − | 0.278876i | ||||
\(686\) | −4.06400 | −0.155164 | ||||||||
\(687\) | −9.26259 | − | 9.26259i | −0.353390 | − | 0.353390i | ||||
\(688\) | −16.8640 | − | 16.8640i | −0.642933 | − | 0.642933i | ||||
\(689\) | −27.9543 | −1.06497 | ||||||||
\(690\) | 2.89283 | + | 3.31879i | 0.110128 | + | 0.126344i | ||||
\(691\) | −25.2649 | −0.961122 | −0.480561 | − | 0.876961i | \(-0.659567\pi\) | ||||
−0.480561 | + | 0.876961i | \(0.659567\pi\) | |||||||
\(692\) | 2.73759 | − | 2.73759i | 0.104068 | − | 0.104068i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 14.1878i | − | 0.538562i | ||||||
\(695\) | −23.4472 | − | 1.60790i | −0.889404 | − | 0.0609911i | ||||
\(696\) | −19.5458 | −0.740882 | ||||||||
\(697\) | −17.5495 | − | 17.5495i | −0.664733 | − | 0.664733i | ||||
\(698\) | 1.61418 | − | 1.61418i | 0.0610974 | − | 0.0610974i | ||||
\(699\) | 12.4715 | 0.471714 | ||||||||
\(700\) | 0.179585 | + | 0.236988i | 0.00678768 | + | 0.00895732i | ||||
\(701\) | − | 28.2273i | − | 1.06613i | −0.846074 | − | 0.533066i | \(-0.821040\pi\) | ||
0.846074 | − | 0.533066i | \(-0.178960\pi\) | |||||||
\(702\) | −14.2297 | − | 14.2297i | −0.537066 | − | 0.537066i | ||||
\(703\) | −2.84289 | − | 2.84289i | −0.107222 | − | 0.107222i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −21.9892 | − | 1.50791i | −0.828161 | − | 0.0567914i | ||||
\(706\) | − | 9.46358i | − | 0.356167i | ||||||
\(707\) | −0.653319 | − | 0.653319i | −0.0245706 | − | 0.0245706i | ||||
\(708\) | 1.68540 | − | 1.68540i | 0.0633414 | − | 0.0633414i | ||||
\(709\) | 8.15970i | 0.306444i | 0.988192 | + | 0.153222i | \(0.0489650\pi\) | ||||
−0.988192 | + | 0.153222i | \(0.951035\pi\) | |||||||
\(710\) | −29.3675 | + | 25.5982i | −1.10214 | + | 0.960684i | ||||
\(711\) | − | 1.58532i | − | 0.0594540i | ||||||
\(712\) | 14.3850 | − | 14.3850i | 0.539102 | − | 0.539102i | ||||
\(713\) | −0.403157 | + | 0.403157i | −0.0150984 | + | 0.0150984i | ||||
\(714\) | 0.860026 | 0.0321856 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −6.26727 | −0.234219 | ||||||||
\(717\) | −2.97744 | + | 2.97744i | −0.111194 | + | 0.111194i | ||||
\(718\) | 28.2730 | − | 28.2730i | 1.05514 | − | 1.05514i | ||||
\(719\) | 1.03764i | 0.0386975i | 0.999813 | + | 0.0193487i | \(0.00615928\pi\) | ||||
−0.999813 | + | 0.0193487i | \(0.993841\pi\) | |||||||
\(720\) | −1.63663 | + | 23.8663i | −0.0609938 | + | 0.889443i | ||||
\(721\) | 0.619856i | 0.0230846i | ||||||||
\(722\) | −19.8275 | + | 19.8275i | −0.737901 | + | 0.737901i | ||||
\(723\) | −9.11403 | − | 9.11403i | −0.338954 | − | 0.338954i | ||||
\(724\) | − | 1.43174i | − | 0.0532101i | ||||||
\(725\) | −47.2892 | − | 6.51637i | −1.75627 | − | 0.242012i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −3.27903 | − | 3.27903i | −0.121612 | − | 0.121612i | 0.643681 | − | 0.765294i | \(-0.277406\pi\) |
−0.765294 | + | 0.643681i | \(0.777406\pi\) | |||||||
\(728\) | 1.07629 | + | 1.07629i | 0.0398900 | + | 0.0398900i | ||||
\(729\) | 1.51821i | 0.0562300i | ||||||||
\(730\) | 8.14472 | + | 0.558526i | 0.301450 | + | 0.0206720i | ||||
\(731\) | −19.5366 | −0.722588 | ||||||||
\(732\) | −1.03179 | + | 1.03179i | −0.0381362 | + | 0.0381362i | ||||
\(733\) | 32.2972 | + | 32.2972i | 1.19292 | + | 1.19292i | 0.976243 | + | 0.216680i | \(0.0695229\pi\) |
0.216680 | + | 0.976243i | \(0.430477\pi\) | |||||||
\(734\) | 12.4175 | 0.458340 | ||||||||
\(735\) | 8.15638 | + | 9.35739i | 0.300853 | + | 0.345153i | ||||
\(736\) | 2.83001i | 0.104315i | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 17.0171 | − | 17.0171i | 0.626410 | − | 0.626410i | ||||
\(739\) | 3.79675 | 0.139666 | 0.0698329 | − | 0.997559i | \(-0.477753\pi\) | ||||
0.0698329 | + | 0.997559i | \(0.477753\pi\) | |||||||
\(740\) | −2.82989 | + | 2.46667i | −0.104029 | + | 0.0906767i | ||||
\(741\) | −1.83560 | −0.0674323 | ||||||||
\(742\) | 1.85846 | + | 1.85846i | 0.0682261 | + | 0.0682261i | ||||
\(743\) | −30.0019 | − | 30.0019i | −1.10066 | − | 1.10066i | −0.994331 | − | 0.106331i | \(-0.966090\pi\) |
−0.106331 | − | 0.994331i | \(-0.533910\pi\) | |||||||
\(744\) | 0.718432 | 0.0263390 | ||||||||
\(745\) | 12.8550 | + | 0.881532i | 0.470969 | + | 0.0322968i | ||||
\(746\) | 13.1663 | 0.482052 | ||||||||
\(747\) | −27.8924 | + | 27.8924i | −1.02053 | + | 1.02053i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | − | 2.11681i | − | 0.0773467i | ||||||
\(750\) | 2.76343 | − | 13.2639i | 0.100906 | − | 0.484329i | ||||
\(751\) | −9.99217 | −0.364619 | −0.182310 | − | 0.983241i | \(-0.558357\pi\) | ||||
−0.182310 | + | 0.983241i | \(0.558357\pi\) | |||||||
\(752\) | −39.5584 | − | 39.5584i | −1.44255 | − | 1.44255i | ||||
\(753\) | 10.9039 | − | 10.9039i | 0.397361 | − | 0.397361i | ||||
\(754\) | 44.9245 | 1.63605 | ||||||||
\(755\) | −2.28922 | + | 33.3826i | −0.0833132 | + | 1.21492i | ||||
\(756\) | 0.254329i | 0.00924986i | ||||||||
\(757\) | −20.7772 | − | 20.7772i | −0.755161 | − | 0.755161i | 0.220277 | − | 0.975437i | \(-0.429304\pi\) |
−0.975437 | + | 0.220277i | \(0.929304\pi\) | |||||||
\(758\) | −0.664675 | − | 0.664675i | −0.0241421 | − | 0.0241421i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 2.80638 | + | 3.21961i | 0.101798 | + | 0.116788i | ||||
\(761\) | 30.3518i | 1.10025i | 0.835081 | + | 0.550127i | \(0.185421\pi\) | ||||
−0.835081 | + | 0.550127i | \(0.814579\pi\) | |||||||
\(762\) | 12.4826 | + | 12.4826i | 0.452195 | + | 0.452195i | ||||
\(763\) | 1.29191 | − | 1.29191i | 0.0467704 | − | 0.0467704i | ||||
\(764\) | − | 1.96489i | − | 0.0710872i | ||||||
\(765\) | 12.8763 | + | 14.7723i | 0.465544 | + | 0.534095i | ||||
\(766\) | 15.7766i | 0.570031i | ||||||||
\(767\) | 21.0708 | − | 21.0708i | 0.760821 | − | 0.760821i | ||||
\(768\) | 4.10600 | − | 4.10600i | 0.148162 | − | 0.148162i | ||||
\(769\) | 37.6421 | 1.35741 | 0.678705 | − | 0.734411i | \(-0.262542\pi\) | ||||
0.678705 | + | 0.734411i | \(0.262542\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −3.75184 | −0.135119 | ||||||||
\(772\) | 1.30276 | − | 1.30276i | 0.0468875 | − | 0.0468875i | ||||
\(773\) | 18.2525 | − | 18.2525i | 0.656497 | − | 0.656497i | −0.298053 | − | 0.954549i | \(-0.596337\pi\) |
0.954549 | + | 0.298053i | \(0.0963371\pi\) | |||||||
\(774\) | − | 18.9440i | − | 0.680928i | ||||||
\(775\) | 1.73818 | + | 0.239518i | 0.0624371 | + | 0.00860374i | ||||
\(776\) | 3.54125i | 0.127123i | ||||||||
\(777\) | 0.583436 | − | 0.583436i | 0.0209307 | − | 0.0209307i | ||||
\(778\) | −23.8045 | − | 23.8045i | −0.853434 | − | 0.853434i | ||||
\(779\) | − | 4.98040i | − | 0.178441i | ||||||
\(780\) | −0.117260 | + | 1.70994i | −0.00419856 | + | 0.0612257i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 6.47282 | + | 6.47282i | 0.231467 | + | 0.231467i | ||||
\(783\) | −28.8713 | − | 28.8713i | −1.03178 | − | 1.03178i | ||||
\(784\) | 31.5071i | 1.12525i | ||||||||
\(785\) | 7.27008 | + | 8.34059i | 0.259480 | + | 0.297688i | ||||
\(786\) | 11.8387 | 0.422272 | ||||||||
\(787\) | 12.2154 | − | 12.2154i | 0.435433 | − | 0.435433i | −0.455039 | − | 0.890472i | \(-0.650375\pi\) |
0.890472 | + | 0.455039i | \(0.150375\pi\) | |||||||
\(788\) | −3.07645 | − | 3.07645i | −0.109594 | − | 0.109594i | ||||
\(789\) | 12.6520 | 0.450421 | ||||||||
\(790\) | −1.71794 | + | 1.49744i | −0.0611214 | + | 0.0532765i | ||||
\(791\) | 0.794162i | 0.0282372i | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −12.8994 | + | 12.8994i | −0.458070 | + | 0.458070i | ||||
\(794\) | 23.1670 | 0.822165 | ||||||||
\(795\) | 1.10133 | − | 16.0602i | 0.0390602 | − | 0.569596i | ||||
\(796\) | −4.15657 | −0.147326 | ||||||||
\(797\) | 31.5150 | + | 31.5150i | 1.11632 | + | 1.11632i | 0.992277 | + | 0.124043i | \(0.0395862\pi\) |
0.124043 | + | 0.992277i | \(0.460414\pi\) | |||||||
\(798\) | 0.122034 | + | 0.122034i | 0.00431997 | + | 0.00431997i | ||||
\(799\) | −45.8277 | −1.62127 | ||||||||
\(800\) | 6.94133 | − | 5.26000i | 0.245413 | − | 0.185969i | ||||
\(801\) | 18.7308 | 0.661820 | ||||||||
\(802\) | −4.60219 | + | 4.60219i | −0.162509 | + | 0.162509i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | − | 1.44771i | − | 0.0510569i | ||||||
\(805\) | 0.0475902 | − | 0.693986i | 0.00167734 | − | 0.0244598i | ||||
\(806\) | −1.65126 | −0.0581631 | ||||||||
\(807\) | −6.37706 | − | 6.37706i | −0.224483 | − | 0.224483i | ||||
\(808\) | −8.76231 | + | 8.76231i | −0.308257 | + | 0.308257i | ||||
\(809\) | −15.2351 | −0.535638 | −0.267819 | − | 0.963469i | \(-0.586303\pi\) | ||||
−0.267819 | + | 0.963469i | \(0.586303\pi\) | |||||||
\(810\) | −9.43883 | + | 8.22736i | −0.331647 | + | 0.289080i | ||||
\(811\) | 45.5573i | 1.59973i | 0.600178 | + | 0.799866i | \(0.295096\pi\) | ||||
−0.600178 | + | 0.799866i | \(0.704904\pi\) | |||||||
\(812\) | −0.401470 | − | 0.401470i | −0.0140888 | − | 0.0140888i | ||||
\(813\) | 10.0502 | + | 10.0502i | 0.352475 | + | 0.352475i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 16.8842 | − | 14.7171i | 0.591427 | − | 0.515518i | ||||
\(816\) | − | 13.3702i | − | 0.468051i | ||||||
\(817\) | −2.77217 | − | 2.77217i | −0.0969859 | − | 0.0969859i | ||||
\(818\) | −4.61714 | + | 4.61714i | −0.161434 | + | 0.161434i | ||||
\(819\) | 1.40144i | 0.0489703i | ||||||||
\(820\) | −4.63946 | − | 0.318152i | −0.162017 | − | 0.0111104i | ||||
\(821\) | − | 28.7123i | − | 1.00207i | −0.865428 | − | 0.501034i | \(-0.832953\pi\) | ||
0.865428 | − | 0.501034i | \(-0.167047\pi\) | |||||||
\(822\) | −3.71046 | + | 3.71046i | −0.129417 | + | 0.129417i | ||||
\(823\) | 19.0615 | − | 19.0615i | 0.664443 | − | 0.664443i | −0.291981 | − | 0.956424i | \(-0.594314\pi\) |
0.956424 | + | 0.291981i | \(0.0943145\pi\) | |||||||
\(824\) | 8.31350 | 0.289614 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −2.80165 | −0.0974820 | ||||||||
\(827\) | 28.0601 | − | 28.0601i | 0.975746 | − | 0.975746i | −0.0239670 | − | 0.999713i | \(-0.507630\pi\) |
0.999713 | + | 0.0239670i | \(0.00762967\pi\) | |||||||
\(828\) | −0.843687 | + | 0.843687i | −0.0293201 | + | 0.0293201i | ||||
\(829\) | 10.8672i | 0.377432i | 0.982032 | + | 0.188716i | \(0.0604326\pi\) | ||||
−0.982032 | + | 0.188716i | \(0.939567\pi\) | |||||||
\(830\) | 56.5721 | + | 3.87945i | 1.96365 | + | 0.134658i | ||||
\(831\) | 3.73228i | 0.129471i | ||||||||
\(832\) | 14.0129 | − | 14.0129i | 0.485810 | − | 0.485810i | ||||
\(833\) | 18.2502 | + | 18.2502i | 0.632333 | + | 0.632333i | ||||
\(834\) | 12.7370i | 0.441047i | ||||||||
\(835\) | 20.3322 | − | 17.7226i | 0.703625 | − | 0.613316i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 1.06120 | + | 1.06120i | 0.0366805 | + | 0.0366805i | ||||
\(838\) | 1.29240 | + | 1.29240i | 0.0446453 | + | 0.0446453i | ||||
\(839\) | 40.3158i | 1.39186i | 0.718112 | + | 0.695928i | \(0.245007\pi\) | ||||
−0.718112 | + | 0.695928i | \(0.754993\pi\) | |||||||
\(840\) | −0.660750 | + | 0.575943i | −0.0227980 | + | 0.0198719i | ||||
\(841\) | 62.1491 | 2.14307 | ||||||||
\(842\) | 33.6521 | − | 33.6521i | 1.15973 | − | 1.15973i | ||||
\(843\) | −7.43512 | − | 7.43512i | −0.256079 | − | 0.256079i | ||||
\(844\) | −1.84254 | −0.0634229 | ||||||||
\(845\) | 0.522769 | − | 7.62329i | 0.0179838 | − | 0.262249i | ||||
\(846\) | − | 44.4376i | − | 1.52780i | ||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 28.8921 | − | 28.8921i | 0.992159 | − | 0.992159i | ||||
\(849\) | −18.1660 | −0.623455 | ||||||||
\(850\) | 3.84554 | − | 27.9070i | 0.131901 | − | 0.957201i | ||||
\(851\) | 8.78224 | 0.301051 | ||||||||
\(852\) | 2.00680 | + | 2.00680i | 0.0687518 | + | 0.0687518i | ||||
\(853\) | 9.86864 | + | 9.86864i | 0.337896 | + | 0.337896i | 0.855575 | − | 0.517679i | \(-0.173204\pi\) |
−0.517679 | + | 0.855575i | \(0.673204\pi\) | |||||||
\(854\) | 1.71515 | 0.0586913 | ||||||||
\(855\) | −0.269037 | + | 3.92323i | −0.00920086 | + | 0.134172i | ||||
\(856\) | −28.3907 | −0.970374 | ||||||||
\(857\) | 26.9229 | − | 26.9229i | 0.919668 | − | 0.919668i | −0.0773373 | − | 0.997005i | \(-0.524642\pi\) |
0.997005 | + | 0.0773373i | \(0.0246418\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 18.3200i | 0.625071i | 0.949906 | + | 0.312535i | \(0.101178\pi\) | ||||
−0.949906 | + | 0.312535i | \(0.898822\pi\) | |||||||
\(860\) | −2.75949 | + | 2.40531i | −0.0940977 | + | 0.0820204i | ||||
\(861\) | 1.02211 | 0.0348334 | ||||||||
\(862\) | 10.6316 | + | 10.6316i | 0.362114 | + | 0.362114i | ||||
\(863\) | 8.59342 | − | 8.59342i | 0.292523 | − | 0.292523i | −0.545553 | − | 0.838076i | \(-0.683680\pi\) |
0.838076 | + | 0.545553i | \(0.183680\pi\) | |||||||
\(864\) | 7.44923 | 0.253428 | ||||||||
\(865\) | 18.3145 | + | 21.0112i | 0.622711 | + | 0.714404i | ||||
\(866\) | 41.0148i | 1.39374i | ||||||||
\(867\) | 1.83873 | + | 1.83873i | 0.0624464 | + | 0.0624464i | ||||
\(868\) | 0.0147565 | + | 0.0147565i | 0.000500870 | + | 0.000500870i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | −1.76991 | + | 25.8098i | −0.0600057 | + | 0.875035i | ||||
\(871\) | − | 18.0992i | − | 0.613266i | ||||||
\(872\) | −17.3271 | − | 17.3271i | −0.586770 | − | 0.586770i | ||||
\(873\) | −2.30554 | + | 2.30554i | −0.0780306 | + | 0.0780306i | ||||
\(874\) | 1.83693i | 0.0621352i | ||||||||
\(875\) | −1.79063 | + | 1.17315i | −0.0605344 | + | 0.0396597i | ||||
\(876\) | − | 0.594727i | − | 0.0200940i | ||||||
\(877\) | −9.07573 | + | 9.07573i | −0.306466 | + | 0.306466i | −0.843537 | − | 0.537071i | \(-0.819531\pi\) |
0.537071 | + | 0.843537i | \(0.319531\pi\) | |||||||
\(878\) | −26.4264 | + | 26.4264i | −0.891848 | + | 0.891848i | ||||
\(879\) | −5.76213 | −0.194352 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 13.8380 | 0.466216 | 0.233108 | − | 0.972451i | \(-0.425110\pi\) | ||||
0.233108 | + | 0.972451i | \(0.425110\pi\) | |||||||
\(882\) | −17.6966 | + | 17.6966i | −0.595877 | + | 0.595877i | ||||
\(883\) | 30.8218 | − | 30.8218i | 1.03724 | − | 1.03724i | 0.0379569 | − | 0.999279i | \(-0.487915\pi\) |
0.999279 | − | 0.0379569i | \(-0.0120850\pi\) | |||||||
\(884\) | 3.56368i | 0.119860i | ||||||||
\(885\) | 11.2753 | + | 12.9356i | 0.379017 | + | 0.434826i | ||||
\(886\) | − | 46.8136i | − | 1.57273i | ||||||
\(887\) | 7.35335 | − | 7.35335i | 0.246901 | − | 0.246901i | −0.572796 | − | 0.819698i | \(-0.694141\pi\) |
0.819698 | + | 0.572796i | \(0.194141\pi\) | |||||||
\(888\) | −7.82504 | − | 7.82504i | −0.262591 | − | 0.262591i | ||||
\(889\) | − | 2.78920i | − | 0.0935467i | ||||||
\(890\) | −17.6925 | − | 20.2977i | −0.593055 | − | 0.680381i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 4.66817 | + | 4.66817i | 0.156302 | + | 0.156302i | ||||
\(893\) | −6.50277 | − | 6.50277i | −0.217607 | − | 0.217607i | ||||
\(894\) | − | 6.98308i | − | 0.233549i | ||||||
\(895\) | 3.08691 | − | 45.0149i | 0.103184 | − | 1.50468i | ||||
\(896\) | −2.53023 | −0.0845292 | ||||||||
\(897\) | 2.83526 | − | 2.83526i | 0.0946664 | − | 0.0946664i | ||||
\(898\) | 7.87294 | + | 7.87294i | 0.262723 | + | 0.262723i | ||||
\(899\) | −3.35031 | −0.111739 | ||||||||
\(900\) | 3.63748 | + | 0.501239i | 0.121249 | + | 0.0167080i | ||||
\(901\) | − | 33.4710i | − | 1.11508i | ||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0.568922 | − | 0.568922i | 0.0189325 | − | 0.0189325i | ||||
\(904\) | 10.6513 | 0.354257 | ||||||||
\(905\) | 10.2835 | + | 0.705194i | 0.341835 | + | 0.0234414i | ||||
\(906\) | 18.1341 | 0.602465 | ||||||||
\(907\) | −11.5308 | − | 11.5308i | −0.382873 | − | 0.382873i | 0.489263 | − | 0.872136i | \(-0.337266\pi\) |
−0.872136 | + | 0.489263i | \(0.837266\pi\) | |||||||
\(908\) | 2.87047 | + | 2.87047i | 0.0952600 | + | 0.0952600i | ||||
\(909\) | −11.4094 | −0.378427 | ||||||||
\(910\) | 1.51868 | − | 1.32376i | 0.0503437 | − | 0.0438822i | ||||
\(911\) | −17.7104 | −0.586773 | −0.293387 | − | 0.955994i | \(-0.594782\pi\) | ||||
−0.293387 | + | 0.955994i | \(0.594782\pi\) | |||||||
\(912\) | 1.89718 | − | 1.89718i | 0.0628219 | − | 0.0628219i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | − | 10.2385i | − | 0.338659i | ||||||
\(915\) | −6.90269 | − | 7.91910i | −0.228196 | − | 0.261797i | ||||
\(916\) | −5.10334 | −0.168619 | ||||||||
\(917\) | −1.32266 | − | 1.32266i | −0.0436782 | − | 0.0436782i | ||||
\(918\) | 17.0379 | − | 17.0379i | 0.562336 | − | 0.562336i | ||||
\(919\) | 9.13000 | 0.301171 | 0.150585 | − | 0.988597i | \(-0.451884\pi\) | ||||
0.150585 | + | 0.988597i | \(0.451884\pi\) | |||||||
\(920\) | −9.30773 | − | 0.638280i | −0.306867 | − | 0.0210435i | ||||
\(921\) | − | 22.6924i | − | 0.747740i | ||||||
\(922\) | 31.2567 | + | 31.2567i | 1.02938 | + | 1.02938i | ||||
\(923\) | 25.0888 | + | 25.0888i | 0.825807 | + | 0.825807i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −16.3231 | − | 21.5407i | −0.536701 | − | 0.708254i | ||||
\(926\) | − | 37.6509i | − | 1.23729i | ||||||
\(927\) | 5.41252 | + | 5.41252i | 0.177770 | + | 0.177770i | ||||
\(928\) | −11.7589 | + | 11.7589i | −0.386006 | + | 0.386006i | ||||
\(929\) | 1.81238i | 0.0594624i | 0.999558 | + | 0.0297312i | \(0.00946512\pi\) | ||||
−0.999558 | + | 0.0297312i | \(0.990535\pi\) | |||||||
\(930\) | 0.0650556 | − | 0.948674i | 0.00213326 | − | 0.0311083i | ||||
\(931\) | 5.17927i | 0.169744i | ||||||||
\(932\) | 3.43566 | − | 3.43566i | 0.112539 | − | 0.112539i | ||||
\(933\) | −4.23688 | + | 4.23688i | −0.138709 | + | 0.138709i | ||||
\(934\) | 40.2174 | 1.31595 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 18.7961 | 0.614371 | ||||||||
\(937\) | 10.7192 | − | 10.7192i | 0.350181 | − | 0.350181i | −0.509996 | − | 0.860177i | \(-0.670353\pi\) |
0.860177 | + | 0.509996i | \(0.170353\pi\) | |||||||
\(938\) | −1.20327 | + | 1.20327i | −0.0392881 | + | 0.0392881i | ||||
\(939\) | − | 1.07313i | − | 0.0350203i | ||||||
\(940\) | −6.47302 | + | 5.64221i | −0.211127 | + | 0.184029i | ||||
\(941\) | − | 21.8290i | − | 0.711605i | −0.934561 | − | 0.355803i | \(-0.884208\pi\) | ||
0.934561 | − | 0.355803i | \(-0.115792\pi\) | |||||||
\(942\) | 4.24002 | − | 4.24002i | 0.138147 | − | 0.138147i | ||||
\(943\) | 7.69271 | + | 7.69271i | 0.250509 | + | 0.250509i | ||||
\(944\) | 43.5553i | 1.41760i | ||||||||
\(945\) | −1.82673 | − | 0.125268i | −0.0594235 | − | 0.00407498i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 6.90662 | + | 6.90662i | 0.224435 | + | 0.224435i | 0.810363 | − | 0.585928i | \(-0.199270\pi\) |
−0.585928 | + | 0.810363i | \(0.699270\pi\) | |||||||
\(948\) | 0.117393 | + | 0.117393i | 0.00381276 | + | 0.00381276i | ||||
\(949\) | − | 7.43522i | − | 0.241357i | ||||||
\(950\) | 4.50556 | − | 3.41422i | 0.146180 | − | 0.110772i | ||||
\(951\) | 9.03412 | 0.292951 | ||||||||
\(952\) | −1.28870 | + | 1.28870i | −0.0417669 | + | 0.0417669i | ||||
\(953\) | −9.22299 | − | 9.22299i | −0.298762 | − | 0.298762i | 0.541767 | − | 0.840529i | \(-0.317756\pi\) |
−0.840529 | + | 0.541767i | \(0.817756\pi\) | |||||||
\(954\) | 32.4557 | 1.05079 | ||||||||
\(955\) | 14.1129 | + | 0.967795i | 0.456682 | + | 0.0313171i | ||||
\(956\) | 1.64046i | 0.0530561i | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −28.2202 | + | 28.2202i | −0.911755 | + | 0.911755i | ||||
\(959\) | 0.829093 | 0.0267728 | ||||||||
\(960\) | 7.49856 | + | 8.60270i | 0.242015 | + | 0.277651i | ||||
\(961\) | −30.8769 | −0.996028 | ||||||||
\(962\) | 17.9852 | + | 17.9852i | 0.579867 | + | 0.579867i | ||||
\(963\) | −18.4838 | − | 18.4838i | −0.595633 | − | 0.595633i | ||||
\(964\) | −5.02149 | −0.161731 | ||||||||
\(965\) | 8.71548 | + | 9.99882i | 0.280561 | + | 0.321873i | ||||
\(966\) | −0.376987 | −0.0121294 | ||||||||
\(967\) | −13.6319 | + | 13.6319i | −0.438372 | + | 0.438372i | −0.891464 | − | 0.453092i | \(-0.850321\pi\) |
0.453092 | + | 0.891464i | \(0.350321\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | − | 2.19785i | − | 0.0706051i | ||||||
\(970\) | 4.67615 | + | 0.320668i | 0.150142 | + | 0.0102960i | ||||
\(971\) | 4.10875 | 0.131856 | 0.0659280 | − | 0.997824i | \(-0.478999\pi\) | ||||
0.0659280 | + | 0.997824i | \(0.478999\pi\) | |||||||
\(972\) | 3.46272 | + | 3.46272i | 0.111067 | + | 0.111067i | ||||
\(973\) | 1.42303 | − | 1.42303i | 0.0456202 | − | 0.0456202i | ||||
\(974\) | −35.4708 | −1.13656 | ||||||||
\(975\) | −12.2239 | − | 1.68444i | −0.391480 | − | 0.0539453i | ||||
\(976\) | − | 26.6643i | − | 0.853502i | ||||||
\(977\) | −21.7149 | − | 21.7149i | −0.694720 | − | 0.694720i | 0.268547 | − | 0.963267i | \(-0.413457\pi\) |
−0.963267 | + | 0.268547i | \(0.913457\pi\) | |||||||
\(978\) | −8.58324 | − | 8.58324i | −0.274462 | − | 0.274462i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 4.82472 | + | 0.330856i | 0.154120 | + | 0.0105688i | ||||
\(981\) | − | 22.5617i | − | 0.720339i | ||||||
\(982\) | 19.7209 | + | 19.7209i | 0.629320 | + | 0.629320i | ||||
\(983\) | 19.6048 | − | 19.6048i | 0.625296 | − | 0.625296i | −0.321585 | − | 0.946881i | \(-0.604215\pi\) |
0.946881 | + | 0.321585i | \(0.104215\pi\) | |||||||
\(984\) | − | 13.7085i | − | 0.437012i | ||||||
\(985\) | 23.6120 | − | 20.5814i | 0.752340 | − | 0.655778i | ||||
\(986\) | 53.7902i | 1.71303i | ||||||||
\(987\) | 1.33454 | − | 1.33454i | 0.0424789 | − | 0.0424789i | ||||
\(988\) | −0.505673 | + | 0.505673i | −0.0160876 | + | 0.0160876i | ||||
\(989\) | 8.56376 | 0.272312 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 9.10087 | 0.289099 | 0.144549 | − | 0.989498i | \(-0.453827\pi\) | ||||
0.144549 | + | 0.989498i | \(0.453827\pi\) | |||||||
\(992\) | 0.432215 | − | 0.432215i | 0.0137228 | − | 0.0137228i | ||||
\(993\) | −9.98062 | + | 9.98062i | −0.316725 | + | 0.316725i | ||||
\(994\) | − | 3.33591i | − | 0.105809i | ||||||
\(995\) | 2.04729 | − | 29.8547i | 0.0649035 | − | 0.946457i | ||||
\(996\) | − | 4.13089i | − | 0.130892i | ||||||
\(997\) | −20.4146 | + | 20.4146i | −0.646537 | + | 0.646537i | −0.952155 | − | 0.305617i | \(-0.901137\pi\) |
0.305617 | + | 0.952155i | \(0.401137\pi\) | |||||||
\(998\) | 12.6379 | + | 12.6379i | 0.400047 | + | 0.400047i | ||||
\(999\) | − | 23.1169i | − | 0.731385i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))