Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [57,3,Mod(11,57)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(57, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("57.11");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 57 = 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 57.h (of order \(6\), 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: | \(1.55313750685\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{16} + 44x^{14} + 686x^{12} + 4668x^{10} + 13913x^{8} + 18672x^{6} + 10976x^{4} + 2816x^{2} + 256 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 2^{2}\cdot 3^{4} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 26.6 | ||
Root | \(0.669760i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 57.26 |
Dual form | 57.3.h.b.11.6 |
$q$-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 \(\left(\mathbb{Z}/57\mathbb{Z}\right)^\times\).
\(n\) | \(20\) | \(40\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.00605 | − | 1.15819i | 1.00302 | − | 0.579096i | 0.0938821 | − | 0.995583i | \(-0.470072\pi\) |
0.909141 | + | 0.416487i | \(0.136739\pi\) | |||||||
\(3\) | 2.99269 | − | 0.209258i | 0.997564 | − | 0.0697526i | ||||
\(4\) | 0.682817 | − | 1.18267i | 0.170704 | − | 0.295668i | ||||
\(5\) | −2.24545 | + | 1.29641i | −0.449089 | + | 0.259282i | −0.707446 | − | 0.706768i | \(-0.750153\pi\) |
0.258356 | + | 0.966050i | \(0.416819\pi\) | |||||||
\(6\) | 5.76112 | − | 3.88589i | 0.960187 | − | 0.647649i | ||||
\(7\) | −12.9625 | −1.85178 | −0.925890 | − | 0.377793i | \(-0.876683\pi\) | ||||
−0.925890 | + | 0.377793i | \(0.876683\pi\) | |||||||
\(8\) | 6.10220i | 0.762776i | ||||||||
\(9\) | 8.91242 | − | 1.25249i | 0.990269 | − | 0.139166i | ||||
\(10\) | −3.00298 | + | 5.20132i | −0.300298 | + | 0.520132i | ||||
\(11\) | − | 14.5113i | − | 1.31920i | −0.751615 | − | 0.659602i | \(-0.770725\pi\) | ||
0.751615 | − | 0.659602i | \(-0.229275\pi\) | |||||||
\(12\) | 1.79598 | − | 3.68226i | 0.149665 | − | 0.306855i | ||||
\(13\) | 2.52007 | − | 4.36489i | 0.193851 | − | 0.335761i | −0.752672 | − | 0.658396i | \(-0.771235\pi\) |
0.946523 | + | 0.322635i | \(0.104569\pi\) | |||||||
\(14\) | −26.0033 | + | 15.0130i | −1.85738 | + | 1.07236i | ||||
\(15\) | −6.44865 | + | 4.34963i | −0.429910 | + | 0.289975i | ||||
\(16\) | 9.79879 | + | 16.9720i | 0.612424 | + | 1.06075i | ||||
\(17\) | 15.9210 | − | 9.19202i | 0.936532 | − | 0.540707i | 0.0476602 | − | 0.998864i | \(-0.484824\pi\) |
0.888871 | + | 0.458157i | \(0.151490\pi\) | |||||||
\(18\) | 16.4281 | − | 12.8348i | 0.912673 | − | 0.713047i | ||||
\(19\) | 2.86357 | + | 18.7830i | 0.150714 | + | 0.988577i | ||||
\(20\) | 3.54084i | 0.177042i | ||||||||
\(21\) | −38.7927 | + | 2.71250i | −1.84727 | + | 0.129167i | ||||
\(22\) | −16.8068 | − | 29.1103i | −0.763946 | − | 1.32319i | ||||
\(23\) | 8.57128 | + | 4.94863i | 0.372664 | + | 0.215158i | 0.674622 | − | 0.738164i | \(-0.264307\pi\) |
−0.301957 | + | 0.953321i | \(0.597640\pi\) | |||||||
\(24\) | 1.27693 | + | 18.2620i | 0.0532056 | + | 0.760918i | ||||
\(25\) | −9.13865 | + | 15.8286i | −0.365546 | + | 0.633144i | ||||
\(26\) | − | 11.6749i | − | 0.449034i | ||||||
\(27\) | 26.4100 | − | 5.61331i | 0.978150 | − | 0.207900i | ||||
\(28\) | −8.85098 | + | 15.3304i | −0.316106 | + | 0.547513i | ||||
\(29\) | −7.48634 | − | 4.32224i | −0.258150 | − | 0.149043i | 0.365340 | − | 0.930874i | \(-0.380953\pi\) |
−0.623490 | + | 0.781831i | \(0.714286\pi\) | |||||||
\(30\) | −7.89858 | + | 16.1943i | −0.263286 | + | 0.539811i | ||||
\(31\) | −13.3199 | −0.429673 | −0.214836 | − | 0.976650i | \(-0.568922\pi\) | ||||
−0.214836 | + | 0.976650i | \(0.568922\pi\) | |||||||
\(32\) | 18.1750 | + | 10.4933i | 0.567969 | + | 0.327917i | ||||
\(33\) | −3.03659 | − | 43.4277i | −0.0920180 | − | 1.31599i | ||||
\(34\) | 21.2922 | − | 36.8792i | 0.626242 | − | 1.08468i | ||||
\(35\) | 29.1065 | − | 16.8047i | 0.831615 | − | 0.480133i | ||||
\(36\) | 4.60426 | − | 11.3957i | 0.127896 | − | 0.316547i | ||||
\(37\) | 7.28478 | 0.196886 | 0.0984429 | − | 0.995143i | \(-0.468614\pi\) | ||||
0.0984429 | + | 0.995143i | \(0.468614\pi\) | |||||||
\(38\) | 27.4987 | + | 34.3630i | 0.723651 | + | 0.904288i | ||||
\(39\) | 6.62840 | − | 13.5901i | 0.169959 | − | 0.348464i | ||||
\(40\) | −7.91095 | − | 13.7022i | −0.197774 | − | 0.342554i | ||||
\(41\) | 11.5014 | − | 6.64034i | 0.280522 | − | 0.161960i | −0.353138 | − | 0.935571i | \(-0.614885\pi\) |
0.633660 | + | 0.773612i | \(0.281552\pi\) | |||||||
\(42\) | −74.6783 | + | 50.3707i | −1.77805 | + | 1.19930i | ||||
\(43\) | −19.6988 | − | 34.1193i | −0.458111 | − | 0.793471i | 0.540750 | − | 0.841183i | \(-0.318140\pi\) |
−0.998861 | + | 0.0477119i | \(0.984807\pi\) | |||||||
\(44\) | −17.1621 | − | 9.90852i | −0.390047 | − | 0.225194i | ||||
\(45\) | −18.3886 | + | 14.3665i | −0.408636 | + | 0.319257i | ||||
\(46\) | 22.9259 | 0.498388 | ||||||||
\(47\) | −13.5960 | − | 7.84964i | −0.289276 | − | 0.167014i | 0.348339 | − | 0.937369i | \(-0.386746\pi\) |
−0.637615 | + | 0.770355i | \(0.720079\pi\) | |||||||
\(48\) | 32.8763 | + | 48.7415i | 0.684923 | + | 1.01545i | ||||
\(49\) | 119.025 | 2.42909 | ||||||||
\(50\) | 42.3372i | 0.846744i | ||||||||
\(51\) | 45.7233 | − | 30.8405i | 0.896535 | − | 0.604715i | ||||
\(52\) | −3.44149 | − | 5.96083i | −0.0661825 | − | 0.114631i | ||||
\(53\) | −41.6779 | − | 24.0628i | −0.786376 | − | 0.454014i | 0.0523092 | − | 0.998631i | \(-0.483342\pi\) |
−0.838685 | + | 0.544617i | \(0.816675\pi\) | |||||||
\(54\) | 46.4785 | − | 41.8485i | 0.860713 | − | 0.774972i | ||||
\(55\) | 18.8125 | + | 32.5842i | 0.342046 | + | 0.592441i | ||||
\(56\) | − | 79.0996i | − | 1.41249i | ||||||
\(57\) | 12.5003 | + | 55.6124i | 0.219303 | + | 0.975657i | ||||
\(58\) | −20.0239 | −0.345240 | ||||||||
\(59\) | −64.8363 | + | 37.4333i | −1.09892 | + | 0.634462i | −0.935937 | − | 0.352167i | \(-0.885445\pi\) |
−0.162983 | + | 0.986629i | \(0.552112\pi\) | |||||||
\(60\) | 0.740949 | + | 10.5966i | 0.0123491 | + | 0.176611i | ||||
\(61\) | −5.14506 | + | 8.91150i | −0.0843452 | + | 0.146090i | −0.905112 | − | 0.425173i | \(-0.860213\pi\) |
0.820767 | + | 0.571263i | \(0.193547\pi\) | |||||||
\(62\) | −26.7203 | + | 15.4269i | −0.430972 | + | 0.248822i | ||||
\(63\) | −115.527 | + | 16.2353i | −1.83376 | + | 0.257704i | ||||
\(64\) | −29.7771 | −0.465267 | ||||||||
\(65\) | 13.0682i | 0.201049i | ||||||||
\(66\) | −56.3892 | − | 83.6011i | −0.854381 | − | 1.26668i | ||||
\(67\) | −39.7483 | + | 68.8462i | −0.593259 | + | 1.02755i | 0.400531 | + | 0.916283i | \(0.368826\pi\) |
−0.993790 | + | 0.111271i | \(0.964508\pi\) | |||||||
\(68\) | − | 25.1058i | − | 0.369204i | ||||||
\(69\) | 26.6868 | + | 13.0161i | 0.386765 | + | 0.188640i | ||||
\(70\) | 38.9260 | − | 67.4218i | 0.556086 | − | 0.963169i | ||||
\(71\) | −9.59520 | + | 5.53979i | −0.135144 | + | 0.0780252i | −0.566048 | − | 0.824373i | \(-0.691528\pi\) |
0.430904 | + | 0.902398i | \(0.358195\pi\) | |||||||
\(72\) | 7.64295 | + | 54.3854i | 0.106152 | + | 0.755353i | ||||
\(73\) | −4.59001 | − | 7.95013i | −0.0628768 | − | 0.108906i | 0.832873 | − | 0.553464i | \(-0.186694\pi\) |
−0.895750 | + | 0.444558i | \(0.853361\pi\) | |||||||
\(74\) | 14.6136 | − | 8.43717i | 0.197481 | − | 0.114016i | ||||
\(75\) | −24.0369 | + | 49.2825i | −0.320492 | + | 0.657100i | ||||
\(76\) | 24.1694 | + | 9.43865i | 0.318019 | + | 0.124193i | ||||
\(77\) | 188.101i | 2.44288i | ||||||||
\(78\) | −2.44306 | − | 34.9394i | −0.0313213 | − | 0.447941i | ||||
\(79\) | −54.2297 | − | 93.9286i | −0.686452 | − | 1.18897i | −0.972978 | − | 0.230897i | \(-0.925834\pi\) |
0.286526 | − | 0.958072i | \(-0.407499\pi\) | |||||||
\(80\) | −44.0053 | − | 25.4065i | −0.550066 | − | 0.317581i | ||||
\(81\) | 77.8625 | − | 22.3254i | 0.961266 | − | 0.275623i | ||||
\(82\) | 15.3816 | − | 26.6417i | 0.187580 | − | 0.324899i | ||||
\(83\) | − | 102.691i | − | 1.23724i | −0.785692 | − | 0.618618i | \(-0.787693\pi\) | ||
0.785692 | − | 0.618618i | \(-0.212307\pi\) | |||||||
\(84\) | −23.2803 | + | 47.7312i | −0.277146 | + | 0.568228i | ||||
\(85\) | −23.8332 | + | 41.2804i | −0.280391 | + | 0.485651i | ||||
\(86\) | −79.0333 | − | 45.6299i | −0.918992 | − | 0.530580i | ||||
\(87\) | −23.3088 | − | 11.3686i | −0.267917 | − | 0.130673i | ||||
\(88\) | 88.5506 | 1.00626 | ||||||||
\(89\) | 81.8385 | + | 47.2495i | 0.919534 | + | 0.530893i | 0.883486 | − | 0.468457i | \(-0.155190\pi\) |
0.0360475 | + | 0.999350i | \(0.488523\pi\) | |||||||
\(90\) | −20.2492 | + | 50.1175i | −0.224992 | + | 0.556861i | ||||
\(91\) | −32.6663 | + | 56.5797i | −0.358970 | + | 0.621755i | ||||
\(92\) | 11.7052 | − | 6.75802i | 0.127231 | − | 0.0734567i | ||||
\(93\) | −39.8622 | + | 2.78729i | −0.428626 | + | 0.0299708i | ||||
\(94\) | −36.3656 | −0.386868 | ||||||||
\(95\) | −30.7804 | − | 38.4638i | −0.324004 | − | 0.404882i | ||||
\(96\) | 56.5880 | + | 27.6001i | 0.589459 | + | 0.287501i | ||||
\(97\) | 21.4597 | + | 37.1693i | 0.221234 | + | 0.383188i | 0.955183 | − | 0.296016i | \(-0.0956582\pi\) |
−0.733949 | + | 0.679205i | \(0.762325\pi\) | |||||||
\(98\) | 238.770 | − | 137.854i | 2.43643 | − | 1.40668i | ||||
\(99\) | −18.1752 | − | 129.330i | −0.183588 | − | 1.30637i | ||||
\(100\) | 12.4800 | + | 21.6161i | 0.124800 | + | 0.216161i | ||||
\(101\) | 168.914 | + | 97.5224i | 1.67241 | + | 0.965568i | 0.966282 | + | 0.257486i | \(0.0828943\pi\) |
0.706131 | + | 0.708081i | \(0.250439\pi\) | |||||||
\(102\) | 56.0038 | − | 114.824i | 0.549057 | − | 1.12572i | ||||
\(103\) | 79.0368 | 0.767348 | 0.383674 | − | 0.923469i | \(-0.374659\pi\) | ||||
0.383674 | + | 0.923469i | \(0.374659\pi\) | |||||||
\(104\) | 26.6354 | + | 15.3780i | 0.256110 | + | 0.147865i | ||||
\(105\) | 83.5903 | − | 56.3819i | 0.796098 | − | 0.536971i | ||||
\(106\) | −111.477 | −1.05167 | ||||||||
\(107\) | − | 66.8587i | − | 0.624848i | −0.949943 | − | 0.312424i | \(-0.898859\pi\) | ||
0.949943 | − | 0.312424i | \(-0.101141\pi\) | |||||||
\(108\) | 11.3945 | − | 35.0673i | 0.105505 | − | 0.324697i | ||||
\(109\) | 63.5369 | + | 110.049i | 0.582907 | + | 1.00962i | 0.995133 | + | 0.0985431i | \(0.0314182\pi\) |
−0.412226 | + | 0.911082i | \(0.635248\pi\) | |||||||
\(110\) | 75.4776 | + | 43.5770i | 0.686160 | + | 0.396155i | ||||
\(111\) | 21.8011 | − | 1.52440i | 0.196406 | − | 0.0137333i | ||||
\(112\) | −127.016 | − | 219.999i | −1.13408 | − | 1.96428i | ||||
\(113\) | 2.22172i | 0.0196612i | 0.999952 | + | 0.00983062i | \(0.00312924\pi\) | ||||
−0.999952 | + | 0.00983062i | \(0.996871\pi\) | |||||||
\(114\) | 89.4860 | + | 97.0834i | 0.784965 | + | 0.851609i | ||||
\(115\) | −25.6618 | −0.223146 | ||||||||
\(116\) | −10.2236 | + | 5.90260i | −0.0881345 | + | 0.0508845i | ||||
\(117\) | 16.9929 | − | 42.0581i | 0.145239 | − | 0.359471i | ||||
\(118\) | −86.7098 | + | 150.186i | −0.734829 | + | 1.27276i | ||||
\(119\) | −206.376 | + | 119.151i | −1.73425 | + | 1.00127i | ||||
\(120\) | −26.5423 | − | 39.3510i | −0.221186 | − | 0.327925i | ||||
\(121\) | −89.5764 | −0.740301 | ||||||||
\(122\) | 23.8359i | 0.195376i | ||||||||
\(123\) | 33.0306 | − | 22.2793i | 0.268542 | − | 0.181132i | ||||
\(124\) | −9.09502 | + | 15.7530i | −0.0733469 | + | 0.127041i | ||||
\(125\) | − | 112.210i | − | 0.897681i | ||||||
\(126\) | −212.949 | + | 166.371i | −1.69007 | + | 1.32041i | ||||
\(127\) | −38.2095 | + | 66.1809i | −0.300863 | + | 0.521109i | −0.976332 | − | 0.216279i | \(-0.930608\pi\) |
0.675469 | + | 0.737388i | \(0.263941\pi\) | |||||||
\(128\) | −132.434 | + | 76.4610i | −1.03464 | + | 0.597351i | ||||
\(129\) | −66.0921 | − | 97.9864i | −0.512342 | − | 0.759584i | ||||
\(130\) | 15.1354 | + | 26.2153i | 0.116426 | + | 0.201657i | ||||
\(131\) | 113.246 | − | 65.3825i | 0.864472 | − | 0.499103i | −0.00103497 | − | 0.999999i | \(-0.500329\pi\) |
0.865507 | + | 0.500896i | \(0.166996\pi\) | |||||||
\(132\) | −53.4342 | − | 26.0619i | −0.404805 | − | 0.197438i | ||||
\(133\) | −37.1190 | − | 243.473i | −0.279090 | − | 1.83063i | ||||
\(134\) | 184.145i | 1.37422i | ||||||||
\(135\) | −52.0252 | + | 46.8426i | −0.385372 | + | 0.346982i | ||||
\(136\) | 56.0916 | + | 97.1534i | 0.412438 | + | 0.714363i | ||||
\(137\) | −155.716 | − | 89.9026i | −1.13661 | − | 0.656223i | −0.191022 | − | 0.981586i | \(-0.561180\pi\) |
−0.945589 | + | 0.325363i | \(0.894514\pi\) | |||||||
\(138\) | 68.6101 | − | 4.79742i | 0.497174 | − | 0.0347639i | ||||
\(139\) | 19.7717 | − | 34.2456i | 0.142242 | − | 0.246371i | −0.786098 | − | 0.618102i | \(-0.787902\pi\) |
0.928341 | + | 0.371730i | \(0.121235\pi\) | |||||||
\(140\) | − | 45.8980i | − | 0.327843i | ||||||
\(141\) | −42.3312 | − | 20.6465i | −0.300221 | − | 0.146429i | ||||
\(142\) | −12.8323 | + | 22.2262i | −0.0903682 | + | 0.156522i | ||||
\(143\) | −63.3400 | − | 36.5693i | −0.442937 | − | 0.255730i | ||||
\(144\) | 108.588 | + | 138.989i | 0.754085 | + | 0.965200i | ||||
\(145\) | 22.4136 | 0.154576 | ||||||||
\(146\) | −18.4155 | − | 10.6322i | −0.126134 | − | 0.0728234i | ||||
\(147\) | 356.206 | − | 24.9070i | 2.42317 | − | 0.169435i | ||||
\(148\) | 4.97417 | − | 8.61551i | 0.0336092 | − | 0.0582129i | ||||
\(149\) | −73.6580 | + | 42.5264i | −0.494349 | + | 0.285412i | −0.726377 | − | 0.687297i | \(-0.758797\pi\) |
0.232028 | + | 0.972709i | \(0.425464\pi\) | |||||||
\(150\) | 8.85940 | + | 126.702i | 0.0590627 | + | 0.844682i | ||||
\(151\) | 109.565 | 0.725597 | 0.362799 | − | 0.931868i | \(-0.381821\pi\) | ||||
0.362799 | + | 0.931868i | \(0.381821\pi\) | |||||||
\(152\) | −114.618 | + | 17.4741i | −0.754063 | + | 0.114961i | ||||
\(153\) | 130.382 | − | 101.864i | 0.852171 | − | 0.665778i | ||||
\(154\) | 217.858 | + | 377.340i | 1.41466 | + | 2.45026i | ||||
\(155\) | 29.9090 | − | 17.2680i | 0.192961 | − | 0.111406i | ||||
\(156\) | −11.5467 | − | 17.1188i | −0.0740171 | − | 0.109736i | ||||
\(157\) | 17.5747 | + | 30.4402i | 0.111941 | + | 0.193887i | 0.916553 | − | 0.399914i | \(-0.130960\pi\) |
−0.804612 | + | 0.593801i | \(0.797627\pi\) | |||||||
\(158\) | −217.575 | − | 125.617i | −1.37705 | − | 0.795043i | ||||
\(159\) | −129.765 | − | 63.2910i | −0.816129 | − | 0.398057i | ||||
\(160\) | −54.4147 | −0.340092 | ||||||||
\(161\) | −111.105 | − | 64.1464i | −0.690092 | − | 0.398425i | ||||
\(162\) | 130.339 | − | 134.966i | 0.804560 | − | 0.833121i | ||||
\(163\) | −245.638 | −1.50698 | −0.753491 | − | 0.657458i | \(-0.771632\pi\) | ||||
−0.753491 | + | 0.657458i | \(0.771632\pi\) | |||||||
\(164\) | − | 18.1365i | − | 0.110589i | ||||||
\(165\) | 63.1186 | + | 93.5780i | 0.382537 | + | 0.567139i | ||||
\(166\) | −118.935 | − | 206.002i | −0.716479 | − | 1.24098i | ||||
\(167\) | 149.554 | + | 86.3451i | 0.895533 | + | 0.517036i | 0.875748 | − | 0.482768i | \(-0.160369\pi\) |
0.0197849 | + | 0.999804i | \(0.493702\pi\) | |||||||
\(168\) | −16.5522 | − | 236.721i | −0.0985251 | − | 1.40905i | ||||
\(169\) | 71.7985 | + | 124.359i | 0.424843 | + | 0.735850i | ||||
\(170\) | 110.414i | 0.649493i | ||||||||
\(171\) | 49.0468 | + | 163.815i | 0.286824 | + | 0.957983i | ||||
\(172\) | −53.8026 | −0.312806 | ||||||||
\(173\) | 181.949 | − | 105.048i | 1.05173 | − | 0.607216i | 0.128596 | − | 0.991697i | \(-0.458953\pi\) |
0.923133 | + | 0.384481i | \(0.125620\pi\) | |||||||
\(174\) | −59.9255 | + | 4.19017i | −0.344400 | + | 0.0240814i | ||||
\(175\) | 118.459 | − | 205.178i | 0.676910 | − | 1.17244i | ||||
\(176\) | 246.285 | − | 142.193i | 1.39935 | − | 0.807913i | ||||
\(177\) | −186.202 | + | 125.594i | −1.05199 | + | 0.709569i | ||||
\(178\) | 218.896 | 1.22975 | ||||||||
\(179\) | 284.096i | 1.58713i | 0.608485 | + | 0.793565i | \(0.291777\pi\) | ||||
−0.608485 | + | 0.793565i | \(0.708223\pi\) | |||||||
\(180\) | 4.43486 | + | 31.5575i | 0.0246381 | + | 0.175319i | ||||
\(181\) | 98.2666 | − | 170.203i | 0.542909 | − | 0.940346i | −0.455826 | − | 0.890069i | \(-0.650656\pi\) |
0.998735 | − | 0.0502775i | \(-0.0160106\pi\) | |||||||
\(182\) | 151.335i | 0.831513i | ||||||||
\(183\) | −13.5328 | + | 27.7460i | −0.0739496 | + | 0.151618i | ||||
\(184\) | −30.1976 | + | 52.3037i | −0.164117 | + | 0.284259i | ||||
\(185\) | −16.3576 | + | 9.44405i | −0.0884194 | + | 0.0510489i | ||||
\(186\) | −76.7373 | + | 51.7595i | −0.412566 | + | 0.278277i | ||||
\(187\) | −133.388 | − | 231.034i | −0.713303 | − | 1.23548i | ||||
\(188\) | −18.5671 | + | 10.7197i | −0.0987613 | + | 0.0570198i | ||||
\(189\) | −342.339 | + | 72.7623i | −1.81132 | + | 0.384986i | ||||
\(190\) | −106.295 | − | 41.5106i | −0.559450 | − | 0.218477i | ||||
\(191\) | − | 220.669i | − | 1.15534i | −0.816271 | − | 0.577669i | \(-0.803963\pi\) | ||
0.816271 | − | 0.577669i | \(-0.196037\pi\) | |||||||
\(192\) | −89.1137 | + | 6.23109i | −0.464134 | + | 0.0324536i | ||||
\(193\) | −22.0264 | − | 38.1508i | −0.114126 | − | 0.197673i | 0.803304 | − | 0.595569i | \(-0.203074\pi\) |
−0.917430 | + | 0.397897i | \(0.869740\pi\) | |||||||
\(194\) | 86.0983 | + | 49.7089i | 0.443806 | + | 0.256231i | ||||
\(195\) | 2.73462 | + | 39.1090i | 0.0140237 | + | 0.200559i | ||||
\(196\) | 81.2725 | − | 140.768i | 0.414655 | − | 0.718204i | ||||
\(197\) | 18.3774i | 0.0932864i | 0.998912 | + | 0.0466432i | \(0.0148524\pi\) | ||||
−0.998912 | + | 0.0466432i | \(0.985148\pi\) | |||||||
\(198\) | −186.250 | − | 238.392i | −0.940655 | − | 1.20400i | ||||
\(199\) | −122.441 | + | 212.074i | −0.615282 | + | 1.06570i | 0.375053 | + | 0.927003i | \(0.377625\pi\) |
−0.990335 | + | 0.138697i | \(0.955709\pi\) | |||||||
\(200\) | −96.5893 | − | 55.7659i | −0.482947 | − | 0.278829i | ||||
\(201\) | −104.548 | + | 214.353i | −0.520139 | + | 1.06643i | ||||
\(202\) | 451.798 | 2.23663 | ||||||||
\(203\) | 97.0414 | + | 56.0269i | 0.478037 | + | 0.275995i | ||||
\(204\) | −5.25360 | − | 75.1341i | −0.0257529 | − | 0.368304i | ||||
\(205\) | −17.2172 | + | 29.8211i | −0.0839864 | + | 0.145469i | ||||
\(206\) | 158.552 | − | 91.5398i | 0.769668 | − | 0.444368i | ||||
\(207\) | 82.5890 | + | 33.3689i | 0.398981 | + | 0.161202i | ||||
\(208\) | 98.7745 | 0.474877 | ||||||||
\(209\) | 272.564 | − | 41.5540i | 1.30414 | − | 0.198823i | ||||
\(210\) | 102.385 | − | 209.918i | 0.487548 | − | 0.999612i | ||||
\(211\) | −77.6926 | − | 134.568i | −0.368211 | − | 0.637761i | 0.621075 | − | 0.783751i | \(-0.286696\pi\) |
−0.989286 | + | 0.145991i | \(0.953363\pi\) | |||||||
\(212\) | −56.9168 | + | 32.8609i | −0.268475 | + | 0.155004i | ||||
\(213\) | −27.5562 | + | 18.5868i | −0.129372 | + | 0.0872618i | ||||
\(214\) | −77.4352 | − | 134.122i | −0.361847 | − | 0.626737i | ||||
\(215\) | 88.4651 | + | 51.0753i | 0.411465 | + | 0.237560i | ||||
\(216\) | 34.2536 | + | 161.160i | 0.158581 | + | 0.746109i | ||||
\(217\) | 172.658 | 0.795659 | ||||||||
\(218\) | 254.916 | + | 147.176i | 1.16934 | + | 0.675118i | ||||
\(219\) | −15.4001 | − | 22.8318i | −0.0703201 | − | 0.104255i | ||||
\(220\) | 51.3820 | 0.233555 | ||||||||
\(221\) | − | 92.6580i | − | 0.419267i | ||||||
\(222\) | 41.9685 | − | 28.3079i | 0.189047 | − | 0.127513i | ||||
\(223\) | 33.4142 | + | 57.8751i | 0.149839 | + | 0.259529i | 0.931168 | − | 0.364590i | \(-0.118791\pi\) |
−0.781329 | + | 0.624120i | \(0.785458\pi\) | |||||||
\(224\) | −235.593 | − | 136.020i | −1.05175 | − | 0.607230i | ||||
\(225\) | −61.6223 | + | 152.517i | −0.273877 | + | 0.677854i | ||||
\(226\) | 2.57318 | + | 4.45688i | 0.0113857 | + | 0.0197207i | ||||
\(227\) | − | 279.790i | − | 1.23255i | −0.787530 | − | 0.616277i | \(-0.788640\pi\) | ||
0.787530 | − | 0.616277i | \(-0.211360\pi\) | |||||||
\(228\) | 74.3067 | + | 23.1893i | 0.325907 | + | 0.101708i | ||||
\(229\) | 59.6619 | 0.260533 | 0.130266 | − | 0.991479i | \(-0.458417\pi\) | ||||
0.130266 | + | 0.991479i | \(0.458417\pi\) | |||||||
\(230\) | −51.4788 | + | 29.7213i | −0.223821 | + | 0.129223i | ||||
\(231\) | 39.3617 | + | 562.930i | 0.170397 | + | 2.43693i | ||||
\(232\) | 26.3752 | − | 45.6832i | 0.113686 | − | 0.196910i | ||||
\(233\) | −190.157 | + | 109.787i | −0.816124 | + | 0.471189i | −0.849078 | − | 0.528268i | \(-0.822842\pi\) |
0.0329541 | + | 0.999457i | \(0.489508\pi\) | |||||||
\(234\) | −14.6227 | − | 104.052i | −0.0624901 | − | 0.444665i | ||||
\(235\) | 40.7054 | 0.173214 | ||||||||
\(236\) | 102.240i | 0.433221i | ||||||||
\(237\) | −181.948 | − | 269.751i | −0.767714 | − | 1.13819i | ||||
\(238\) | −276.000 | + | 478.046i | −1.15966 | + | 2.00859i | ||||
\(239\) | − | 236.467i | − | 0.989403i | −0.869063 | − | 0.494701i | \(-0.835277\pi\) | ||
0.869063 | − | 0.494701i | \(-0.164723\pi\) | |||||||
\(240\) | −137.011 | − | 66.8253i | −0.570879 | − | 0.278439i | ||||
\(241\) | −131.676 | + | 228.069i | −0.546373 | + | 0.946346i | 0.452146 | + | 0.891944i | \(0.350659\pi\) |
−0.998519 | + | 0.0544020i | \(0.982675\pi\) | |||||||
\(242\) | −179.694 | + | 103.747i | −0.742539 | + | 0.428705i | ||||
\(243\) | 228.347 | − | 83.1065i | 0.939699 | − | 0.342002i | ||||
\(244\) | 7.02626 | + | 12.1698i | 0.0287962 | + | 0.0498764i | ||||
\(245\) | −267.265 | + | 154.306i | −1.09088 | + | 0.629819i | ||||
\(246\) | 40.4574 | − | 82.9491i | 0.164461 | − | 0.337191i | ||||
\(247\) | 89.2019 | + | 34.8352i | 0.361141 | + | 0.141033i | ||||
\(248\) | − | 81.2805i | − | 0.327744i | ||||||
\(249\) | −21.4888 | − | 307.321i | −0.0863005 | − | 1.23422i | ||||
\(250\) | −129.961 | − | 225.099i | −0.519844 | − | 0.900395i | ||||
\(251\) | 264.789 | + | 152.876i | 1.05493 | + | 0.609067i | 0.924027 | − | 0.382328i | \(-0.124877\pi\) |
0.130908 | + | 0.991395i | \(0.458211\pi\) | |||||||
\(252\) | −59.6826 | + | 147.716i | −0.236836 | + | 0.586176i | ||||
\(253\) | 71.8108 | − | 124.380i | 0.283837 | − | 0.491621i | ||||
\(254\) | 177.016i | 0.696913i | ||||||||
\(255\) | −62.6873 | + | 128.527i | −0.245833 | + | 0.504026i | ||||
\(256\) | −117.559 | + | 203.618i | −0.459214 | + | 0.795382i | ||||
\(257\) | 4.93952 | + | 2.85183i | 0.0192199 | + | 0.0110966i | 0.509579 | − | 0.860424i | \(-0.329801\pi\) |
−0.490359 | + | 0.871520i | \(0.663134\pi\) | |||||||
\(258\) | −246.071 | − | 120.018i | −0.953763 | − | 0.465186i | ||||
\(259\) | −94.4286 | −0.364589 | ||||||||
\(260\) | 15.4554 | + | 8.92316i | 0.0594437 | + | 0.0343198i | ||||
\(261\) | −72.1350 | − | 29.1451i | −0.276379 | − | 0.111667i | ||||
\(262\) | 151.451 | − | 262.321i | 0.578058 | − | 1.00122i | ||||
\(263\) | −446.059 | + | 257.532i | −1.69604 | + | 0.979210i | −0.746595 | + | 0.665278i | \(0.768313\pi\) |
−0.949446 | + | 0.313931i | \(0.898354\pi\) | |||||||
\(264\) | 265.005 | − | 18.5299i | 1.00381 | − | 0.0701891i | ||||
\(265\) | 124.781 | 0.470871 | ||||||||
\(266\) | −356.451 | − | 445.428i | −1.34004 | − | 1.67454i | ||||
\(267\) | 254.805 | + | 124.278i | 0.954325 | + | 0.465460i | ||||
\(268\) | 54.2817 | + | 94.0186i | 0.202544 | + | 0.350816i | ||||
\(269\) | 10.6070 | − | 6.12396i | 0.0394313 | − | 0.0227657i | −0.480155 | − | 0.877184i | \(-0.659420\pi\) |
0.519586 | + | 0.854418i | \(0.326086\pi\) | |||||||
\(270\) | −50.1123 | + | 154.224i | −0.185601 | + | 0.571199i | ||||
\(271\) | −68.2273 | − | 118.173i | −0.251761 | − | 0.436063i | 0.712249 | − | 0.701926i | \(-0.247676\pi\) |
−0.964011 | + | 0.265863i | \(0.914343\pi\) | |||||||
\(272\) | 312.014 | + | 180.141i | 1.14711 | + | 0.662284i | ||||
\(273\) | −85.9204 | + | 176.161i | −0.314727 | + | 0.645279i | ||||
\(274\) | −416.498 | −1.52006 | ||||||||
\(275\) | 229.693 | + | 132.613i | 0.835246 | + | 0.482230i | ||||
\(276\) | 33.6160 | − | 22.6741i | 0.121797 | − | 0.0821525i | ||||
\(277\) | 161.723 | 0.583838 | 0.291919 | − | 0.956443i | \(-0.405706\pi\) | ||||
0.291919 | + | 0.956443i | \(0.405706\pi\) | |||||||
\(278\) | − | 91.5977i | − | 0.329488i | ||||||
\(279\) | −118.712 | + | 16.6830i | −0.425492 | + | 0.0597956i | ||||
\(280\) | 102.545 | + | 177.614i | 0.366234 | + | 0.634335i | ||||
\(281\) | −228.910 | − | 132.161i | −0.814626 | − | 0.470324i | 0.0339340 | − | 0.999424i | \(-0.489196\pi\) |
−0.848560 | + | 0.529100i | \(0.822530\pi\) | |||||||
\(282\) | −108.831 | + | 7.60978i | −0.385925 | + | 0.0269850i | ||||
\(283\) | −66.7580 | − | 115.628i | −0.235894 | − | 0.408581i | 0.723638 | − | 0.690180i | \(-0.242469\pi\) |
−0.959532 | + | 0.281599i | \(0.909135\pi\) | |||||||
\(284\) | 15.1306i | 0.0532769i | ||||||||
\(285\) | −100.165 | − | 108.669i | −0.351457 | − | 0.381296i | ||||
\(286\) | −169.417 | −0.592368 | ||||||||
\(287\) | −149.087 | + | 86.0752i | −0.519465 | + | 0.299914i | ||||
\(288\) | 175.126 | + | 70.7571i | 0.608077 | + | 0.245684i | ||||
\(289\) | 24.4863 | − | 42.4115i | 0.0847277 | − | 0.146753i | ||||
\(290\) | 44.9627 | − | 25.9592i | 0.155044 | − | 0.0895146i | ||||
\(291\) | 72.0002 | + | 106.746i | 0.247424 | + | 0.366823i | ||||
\(292\) | −12.5365 | −0.0429333 | ||||||||
\(293\) | − | 407.093i | − | 1.38939i | −0.719302 | − | 0.694697i | \(-0.755538\pi\) | ||
0.719302 | − | 0.694697i | \(-0.244462\pi\) | |||||||
\(294\) | 685.720 | − | 462.520i | 2.33238 | − | 1.57320i | ||||
\(295\) | 97.0577 | − | 168.109i | 0.329009 | − | 0.569860i | ||||
\(296\) | 44.4532i | 0.150180i | ||||||||
\(297\) | −81.4562 | − | 383.243i | −0.274263 | − | 1.29038i | ||||
\(298\) | −98.5076 | + | 170.620i | −0.330562 | + | 0.572551i | ||||
\(299\) | 43.2004 | − | 24.9418i | 0.144483 | − | 0.0834173i | ||||
\(300\) | 41.8723 | + | 62.0787i | 0.139574 | + | 0.206929i | ||||
\(301\) | 255.344 | + | 442.270i | 0.848320 | + | 1.46933i | ||||
\(302\) | 219.793 | − | 126.898i | 0.727791 | − | 0.420190i | ||||
\(303\) | 525.914 | + | 256.508i | 1.73569 | + | 0.846561i | ||||
\(304\) | −290.725 | + | 232.651i | −0.956332 | + | 0.765299i | ||||
\(305\) | − | 26.6804i | − | 0.0874767i | ||||||
\(306\) | 143.575 | − | 355.352i | 0.469198 | − | 1.16128i | ||||
\(307\) | −241.506 | − | 418.301i | −0.786666 | − | 1.36254i | −0.927999 | − | 0.372583i | \(-0.878472\pi\) |
0.141333 | − | 0.989962i | \(-0.454861\pi\) | |||||||
\(308\) | 222.463 | + | 128.439i | 0.722281 | + | 0.417009i | ||||
\(309\) | 236.533 | − | 16.5391i | 0.765479 | − | 0.0535245i | ||||
\(310\) | 39.9993 | − | 69.2808i | 0.129030 | − | 0.223486i | ||||
\(311\) | 125.771i | 0.404407i | 0.979344 | + | 0.202204i | \(0.0648103\pi\) | ||||
−0.979344 | + | 0.202204i | \(0.935190\pi\) | |||||||
\(312\) | 82.9296 | + | 40.4479i | 0.265800 | + | 0.129641i | ||||
\(313\) | −88.6402 | + | 153.529i | −0.283196 | + | 0.490509i | −0.972170 | − | 0.234277i | \(-0.924728\pi\) |
0.688974 | + | 0.724786i | \(0.258061\pi\) | |||||||
\(314\) | 70.5113 | + | 40.7097i | 0.224558 | + | 0.129649i | ||||
\(315\) | 238.362 | − | 186.226i | 0.756704 | − | 0.591193i | ||||
\(316\) | −148.116 | −0.468721 | ||||||||
\(317\) | −143.415 | − | 82.8007i | −0.452413 | − | 0.261201i | 0.256435 | − | 0.966561i | \(-0.417452\pi\) |
−0.708849 | + | 0.705360i | \(0.750785\pi\) | |||||||
\(318\) | −333.617 | + | 23.3275i | −1.04911 | + | 0.0733569i | ||||
\(319\) | −62.7211 | + | 108.636i | −0.196618 | + | 0.340552i | ||||
\(320\) | 66.8628 | − | 38.6033i | 0.208946 | − | 0.120635i | ||||
\(321\) | −13.9907 | − | 200.088i | −0.0435848 | − | 0.623326i | ||||
\(322\) | −297.176 | −0.922905 | ||||||||
\(323\) | 218.244 | + | 272.722i | 0.675679 | + | 0.844342i | ||||
\(324\) | 26.7621 | − | 107.330i | 0.0825992 | − | 0.331266i | ||||
\(325\) | 46.0600 | + | 79.7783i | 0.141723 | + | 0.245472i | ||||
\(326\) | −492.762 | + | 284.496i | −1.51154 | + | 0.872687i | ||||
\(327\) | 213.175 | + | 316.048i | 0.651911 | + | 0.966506i | ||||
\(328\) | 40.5207 | + | 70.1840i | 0.123539 | + | 0.213976i | ||||
\(329\) | 176.237 | + | 101.751i | 0.535676 | + | 0.309273i | ||||
\(330\) | 235.000 | + | 114.618i | 0.712122 | + | 0.347328i | ||||
\(331\) | 557.691 | 1.68487 | 0.842433 | − | 0.538801i | \(-0.181123\pi\) | ||||
0.842433 | + | 0.538801i | \(0.181123\pi\) | |||||||
\(332\) | −121.449 | − | 70.1189i | −0.365812 | − | 0.211201i | ||||
\(333\) | 64.9250 | − | 9.12411i | 0.194970 | − | 0.0273997i | ||||
\(334\) | 400.017 | 1.19765 | ||||||||
\(335\) | − | 206.120i | − | 0.615285i | ||||||
\(336\) | −426.158 | − | 631.810i | −1.26833 | − | 1.88039i | ||||
\(337\) | −114.909 | − | 199.028i | −0.340975 | − | 0.590587i | 0.643639 | − | 0.765329i | \(-0.277424\pi\) |
−0.984614 | + | 0.174743i | \(0.944091\pi\) | |||||||
\(338\) | 288.062 | + | 166.313i | 0.852256 | + | 0.492050i | ||||
\(339\) | 0.464913 | + | 6.64893i | 0.00137142 | + | 0.0196134i | ||||
\(340\) | 32.5474 | + | 56.3738i | 0.0957278 | + | 0.165805i | ||||
\(341\) | 193.288i | 0.566826i | ||||||||
\(342\) | 288.120 | + | 271.815i | 0.842455 | + | 0.794781i | ||||
\(343\) | −907.701 | −2.64636 | ||||||||
\(344\) | 208.203 | − | 120.206i | 0.605240 | − | 0.349436i | ||||
\(345\) | −76.7979 | + | 5.36994i | −0.222603 | + | 0.0155650i | ||||
\(346\) | 243.332 | − | 421.464i | 0.703273 | − | 1.21810i | ||||
\(347\) | 143.209 | − | 82.6818i | 0.412706 | − | 0.238276i | −0.279246 | − | 0.960220i | \(-0.590084\pi\) |
0.691952 | + | 0.721944i | \(0.256751\pi\) | |||||||
\(348\) | −29.3609 | + | 19.8040i | −0.0843705 | + | 0.0569081i | ||||
\(349\) | −133.905 | −0.383682 | −0.191841 | − | 0.981426i | \(-0.561446\pi\) | ||||
−0.191841 | + | 0.981426i | \(0.561446\pi\) | |||||||
\(350\) | − | 548.794i | − | 1.56798i | ||||||
\(351\) | 42.0537 | − | 129.423i | 0.119811 | − | 0.368726i | ||||
\(352\) | 152.272 | − | 263.742i | 0.432590 | − | 0.749267i | ||||
\(353\) | − | 24.6352i | − | 0.0697881i | −0.999391 | − | 0.0348941i | \(-0.988891\pi\) | ||
0.999391 | − | 0.0348941i | \(-0.0111094\pi\) | |||||||
\(354\) | −228.068 | + | 467.605i | −0.644261 | + | 1.32092i | ||||
\(355\) | 14.3637 | − | 24.8786i | 0.0404611 | − | 0.0700806i | ||||
\(356\) | 111.761 | − | 64.5255i | 0.313936 | − | 0.181251i | ||||
\(357\) | −592.686 | + | 399.768i | −1.66019 | + | 1.11980i | ||||
\(358\) | 329.038 | + | 569.911i | 0.919101 | + | 1.59193i | ||||
\(359\) | −249.662 | + | 144.142i | −0.695436 | + | 0.401510i | −0.805645 | − | 0.592398i | \(-0.798181\pi\) |
0.110209 | + | 0.993908i | \(0.464848\pi\) | |||||||
\(360\) | −87.6676 | − | 112.211i | −0.243521 | − | 0.311698i | ||||
\(361\) | −344.600 | + | 107.573i | −0.954570 | + | 0.297986i | ||||
\(362\) | − | 455.246i | − | 1.25759i | ||||||
\(363\) | −268.075 | + | 18.7446i | −0.738498 | + | 0.0516379i | ||||
\(364\) | 44.6102 | + | 77.2671i | 0.122555 | + | 0.212272i | ||||
\(365\) | 20.6132 | + | 11.9011i | 0.0564746 | + | 0.0326056i | ||||
\(366\) | 4.98784 | + | 71.3334i | 0.0136280 | + | 0.194900i | ||||
\(367\) | −100.002 | + | 173.208i | −0.272484 | + | 0.471956i | −0.969497 | − | 0.245102i | \(-0.921179\pi\) |
0.697013 | + | 0.717058i | \(0.254512\pi\) | |||||||
\(368\) | 193.962i | 0.527072i | ||||||||
\(369\) | 94.1885 | − | 73.5869i | 0.255253 | − | 0.199423i | ||||
\(370\) | −21.8761 | + | 37.8904i | −0.0591245 | + | 0.102407i | ||||
\(371\) | 540.248 | + | 311.913i | 1.45620 | + | 0.840735i | ||||
\(372\) | −23.9221 | + | 49.0472i | −0.0643068 | + | 0.131847i | ||||
\(373\) | 256.433 | 0.687488 | 0.343744 | − | 0.939063i | \(-0.388305\pi\) | ||||
0.343744 | + | 0.939063i | \(0.388305\pi\) | |||||||
\(374\) | −535.164 | − | 308.977i | −1.43092 | − | 0.826142i | ||||
\(375\) | −23.4809 | − | 335.811i | −0.0626156 | − | 0.895495i | ||||
\(376\) | 47.9001 | − | 82.9654i | 0.127394 | − | 0.220653i | ||||
\(377\) | −37.7322 | + | 21.7847i | −0.100085 | + | 0.0577843i | ||||
\(378\) | −602.476 | + | 542.459i | −1.59385 | + | 1.43508i | ||||
\(379\) | 342.519 | 0.903743 | 0.451872 | − | 0.892083i | \(-0.350757\pi\) | ||||
0.451872 | + | 0.892083i | \(0.350757\pi\) | |||||||
\(380\) | −66.5075 | + | 10.1395i | −0.175020 | + | 0.0266828i | ||||
\(381\) | −100.501 | + | 206.055i | −0.263781 | + | 0.540826i | ||||
\(382\) | −255.577 | − | 442.673i | −0.669051 | − | 1.15883i | ||||
\(383\) | −400.758 | + | 231.378i | −1.04637 | + | 0.604120i | −0.921630 | − | 0.388070i | \(-0.873142\pi\) |
−0.124736 | + | 0.992190i | \(0.539809\pi\) | |||||||
\(384\) | −380.335 | + | 256.537i | −0.990456 | + | 0.668065i | ||||
\(385\) | −243.857 | − | 422.372i | −0.633394 | − | 1.09707i | ||||
\(386\) | −88.3719 | − | 51.0215i | −0.228943 | − | 0.132180i | ||||
\(387\) | −218.298 | − | 279.413i | −0.564077 | − | 0.721997i | ||||
\(388\) | 58.6121 | 0.151062 | ||||||||
\(389\) | −509.472 | − | 294.144i | −1.30970 | − | 0.756154i | −0.327652 | − | 0.944799i | \(-0.606257\pi\) |
−0.982045 | + | 0.188645i | \(0.939591\pi\) | |||||||
\(390\) | 50.7815 | + | 75.2873i | 0.130209 | + | 0.193044i | ||||
\(391\) | 181.952 | 0.465349 | ||||||||
\(392\) | 726.317i | 1.85285i | ||||||||
\(393\) | 325.228 | − | 219.367i | 0.827553 | − | 0.558187i | ||||
\(394\) | 21.2846 | + | 36.8660i | 0.0540217 | + | 0.0935684i | ||||
\(395\) | 243.540 | + | 140.608i | 0.616556 | + | 0.355969i | ||||
\(396\) | −165.366 | − | 66.8136i | −0.417591 | − | 0.168721i | ||||
\(397\) | 139.028 | + | 240.803i | 0.350196 | + | 0.606558i | 0.986284 | − | 0.165059i | \(-0.0527815\pi\) |
−0.636087 | + | 0.771617i | \(0.719448\pi\) | |||||||
\(398\) | 567.241i | 1.42523i | ||||||||
\(399\) | −162.034 | − | 720.874i | −0.406101 | − | 1.80670i | ||||
\(400\) | −358.191 | −0.895477 | ||||||||
\(401\) | 196.863 | − | 113.659i | 0.490930 | − | 0.283438i | −0.234030 | − | 0.972229i | \(-0.575192\pi\) |
0.724960 | + | 0.688791i | \(0.241858\pi\) | |||||||
\(402\) | 38.5338 | + | 551.089i | 0.0958551 | + | 1.37087i | ||||
\(403\) | −33.5669 | + | 58.1397i | −0.0832927 | + | 0.144267i | ||||
\(404\) | 230.674 | − | 133.180i | 0.570976 | − | 0.329653i | ||||
\(405\) | −145.893 | + | 151.072i | −0.360230 | + | 0.373018i | ||||
\(406\) | 259.560 | 0.639309 | ||||||||
\(407\) | − | 105.711i | − | 0.259733i | ||||||
\(408\) | 188.195 | + | 279.013i | 0.461262 | + | 0.683855i | ||||
\(409\) | −366.906 | + | 635.501i | −0.897082 | + | 1.55379i | −0.0658749 | + | 0.997828i | \(0.520984\pi\) |
−0.831207 | + | 0.555963i | \(0.812349\pi\) | |||||||
\(410\) | 79.7633i | 0.194545i | ||||||||
\(411\) | −484.822 | − | 236.466i | −1.17962 | − | 0.575343i | ||||
\(412\) | 53.9676 | − | 93.4747i | 0.130989 | − | 0.226880i | ||||
\(413\) | 840.438 | − | 485.227i | 2.03496 | − | 1.17488i | ||||
\(414\) | 204.325 | − | 28.7144i | 0.493539 | − | 0.0693585i | ||||
\(415\) | 133.129 | + | 230.586i | 0.320793 | + | 0.555630i | ||||
\(416\) | 91.6045 | − | 52.8879i | 0.220203 | − | 0.127134i | ||||
\(417\) | 52.0045 | − | 106.624i | 0.124711 | − | 0.255693i | ||||
\(418\) | 498.649 | − | 399.041i | 1.19294 | − | 0.954644i | ||||
\(419\) | − | 82.9364i | − | 0.197939i | −0.995090 | − | 0.0989694i | \(-0.968445\pi\) | ||
0.995090 | − | 0.0989694i | \(-0.0315546\pi\) | |||||||
\(420\) | −9.60452 | − | 137.359i | −0.0228679 | − | 0.327044i | ||||
\(421\) | 286.253 | + | 495.805i | 0.679936 | + | 1.17768i | 0.975000 | + | 0.222206i | \(0.0713257\pi\) |
−0.295064 | + | 0.955478i | \(0.595341\pi\) | |||||||
\(422\) | −311.710 | − | 179.966i | −0.738649 | − | 0.426459i | ||||
\(423\) | −131.005 | − | 52.9305i | −0.309704 | − | 0.125131i | ||||
\(424\) | 146.836 | − | 254.327i | 0.346311 | − | 0.599828i | ||||
\(425\) | 336.010i | 0.790612i | ||||||||
\(426\) | −33.7521 | + | 69.2014i | −0.0792303 | + | 0.162445i | ||||
\(427\) | 66.6926 | − | 115.515i | 0.156189 | − | 0.270527i | ||||
\(428\) | −79.0720 | − | 45.6523i | −0.184748 | − | 0.106664i | ||||
\(429\) | −197.210 | − | 96.1864i | −0.459696 | − | 0.224211i | ||||
\(430\) | 236.620 | 0.550279 | ||||||||
\(431\) | −356.453 | − | 205.799i | −0.827038 | − | 0.477491i | 0.0257993 | − | 0.999667i | \(-0.491787\pi\) |
−0.852838 | + | 0.522176i | \(0.825120\pi\) | |||||||
\(432\) | 354.056 | + | 393.228i | 0.819573 | + | 0.910249i | ||||
\(433\) | 216.998 | − | 375.852i | 0.501151 | − | 0.868018i | −0.498848 | − | 0.866689i | \(-0.666244\pi\) |
0.999999 | − | 0.00132924i | \(-0.000423110\pi\) | |||||||
\(434\) | 346.360 | − | 199.971i | 0.798065 | − | 0.460763i | ||||
\(435\) | 67.0770 | − | 4.69022i | 0.154200 | − | 0.0107821i | ||||
\(436\) | 173.536 | 0.398019 | ||||||||
\(437\) | −68.4055 | + | 175.165i | −0.156534 | + | 0.400835i | ||||
\(438\) | −57.3369 | − | 27.9654i | −0.130906 | − | 0.0638479i | ||||
\(439\) | 88.3728 | + | 153.066i | 0.201305 | + | 0.348670i | 0.948949 | − | 0.315429i | \(-0.102149\pi\) |
−0.747644 | + | 0.664099i | \(0.768815\pi\) | |||||||
\(440\) | −198.836 | + | 114.798i | −0.451899 | + | 0.260904i | ||||
\(441\) | 1060.80 | − | 149.078i | 2.40545 | − | 0.338045i | ||||
\(442\) | −107.316 | − | 185.876i | −0.242796 | − | 0.420535i | ||||
\(443\) | −527.653 | − | 304.641i | −1.19109 | − | 0.687677i | −0.232537 | − | 0.972587i | \(-0.574703\pi\) |
−0.958554 | + | 0.284911i | \(0.908036\pi\) | |||||||
\(444\) | 13.0833 | − | 26.8245i | 0.0294669 | − | 0.0604155i | ||||
\(445\) | −245.019 | −0.550604 | ||||||||
\(446\) | 134.061 | + | 77.4001i | 0.300585 | + | 0.173543i | ||||
\(447\) | −211.537 | + | 142.682i | −0.473236 | + | 0.319199i | ||||
\(448\) | 385.984 | 0.861572 | ||||||||
\(449\) | − | 309.870i | − | 0.690134i | −0.938578 | − | 0.345067i | \(-0.887856\pi\) | ||
0.938578 | − | 0.345067i | \(-0.112144\pi\) | |||||||
\(450\) | 53.0269 | + | 377.327i | 0.117838 | + | 0.838505i | ||||
\(451\) | −96.3597 | − | 166.900i | −0.213658 | − | 0.370066i | ||||
\(452\) | 2.62757 | + | 1.51703i | 0.00581321 | + | 0.00335626i | ||||
\(453\) | 327.895 | − | 22.9274i | 0.723830 | − | 0.0506123i | ||||
\(454\) | −324.050 | − | 561.271i | −0.713767 | − | 1.23628i | ||||
\(455\) | − | 169.396i | − | 0.372298i | ||||||
\(456\) | −339.358 | + | 76.2793i | −0.744207 | + | 0.167279i | ||||
\(457\) | 80.0797 | 0.175229 | 0.0876145 | − | 0.996154i | \(-0.472076\pi\) | ||||
0.0876145 | + | 0.996154i | \(0.472076\pi\) | |||||||
\(458\) | 119.685 | − | 69.1000i | 0.261320 | − | 0.150873i | ||||
\(459\) | 368.878 | − | 332.131i | 0.803655 | − | 0.723598i | ||||
\(460\) | −17.5223 | + | 30.3495i | −0.0380920 | + | 0.0659772i | ||||
\(461\) | 104.373 | − | 60.2600i | 0.226407 | − | 0.130716i | −0.382507 | − | 0.923953i | \(-0.624939\pi\) |
0.608913 | + | 0.793237i | \(0.291606\pi\) | |||||||
\(462\) | 730.942 | + | 1083.68i | 1.58213 | + | 2.34562i | ||||
\(463\) | 381.609 | 0.824209 | 0.412105 | − | 0.911137i | \(-0.364794\pi\) | ||||
0.412105 | + | 0.911137i | \(0.364794\pi\) | |||||||
\(464\) | − | 169.411i | − | 0.365110i | ||||||
\(465\) | 85.8951 | − | 57.9365i | 0.184721 | − | 0.124595i | ||||
\(466\) | −254.309 | + | 440.476i | −0.545728 | + | 0.945228i | ||||
\(467\) | 175.085i | 0.374915i | 0.982273 | + | 0.187457i | \(0.0600246\pi\) | ||||
−0.982273 | + | 0.187457i | \(0.939975\pi\) | |||||||
\(468\) | −38.1379 | − | 48.8150i | −0.0814912 | − | 0.104306i | ||||
\(469\) | 515.236 | − | 892.415i | 1.09858 | − | 1.90280i | ||||
\(470\) | 81.6569 | − | 47.1447i | 0.173738 | − | 0.100308i | ||||
\(471\) | 58.9655 | + | 87.4207i | 0.125192 | + | 0.185607i | ||||
\(472\) | −228.425 | − | 395.644i | −0.483952 | − | 0.838230i | ||||
\(473\) | −495.113 | + | 285.854i | −1.04675 | + | 0.604342i | ||||
\(474\) | −677.420 | − | 330.403i | −1.42916 | − | 0.697053i | ||||
\(475\) | −323.477 | − | 126.325i | −0.681005 | − | 0.265946i | ||||
\(476\) | 325.433i | 0.683684i | ||||||||
\(477\) | −401.590 | − | 162.256i | −0.841907 | − | 0.340160i | ||||
\(478\) | −273.874 | − | 474.364i | −0.572959 | − | 0.992394i | ||||
\(479\) | 643.175 | + | 371.337i | 1.34275 | + | 0.775234i | 0.987210 | − | 0.159428i | \(-0.0509650\pi\) |
0.355536 | + | 0.934663i | \(0.384298\pi\) | |||||||
\(480\) | −162.846 | + | 11.3867i | −0.339263 | + | 0.0237223i | ||||
\(481\) | 18.3581 | − | 31.7972i | 0.0381666 | − | 0.0661065i | ||||
\(482\) | 610.024i | 1.26561i | ||||||||
\(483\) | −345.926 | − | 168.721i | −0.716203 | − | 0.349319i | ||||
\(484\) | −61.1642 | + | 105.940i | −0.126372 | + | 0.218883i | ||||
\(485\) | −96.3732 | − | 55.6411i | −0.198708 | − | 0.114724i | ||||
\(486\) | 361.821 | − | 431.185i | 0.744488 | − | 0.887212i | ||||
\(487\) | −326.388 | −0.670201 | −0.335101 | − | 0.942182i | \(-0.608770\pi\) | ||||
−0.335101 | + | 0.942182i | \(0.608770\pi\) | |||||||
\(488\) | −54.3798 | − | 31.3962i | −0.111434 | − | 0.0643365i | ||||
\(489\) | −735.119 | + | 51.4017i | −1.50331 | + | 0.105116i | ||||
\(490\) | −357.431 | + | 619.088i | −0.729451 | + | 1.26345i | ||||
\(491\) | −101.286 | + | 58.4774i | −0.206285 | + | 0.119099i | −0.599584 | − | 0.800312i | \(-0.704667\pi\) |
0.393299 | + | 0.919411i | \(0.371334\pi\) | |||||||
\(492\) | −3.79522 | − | 54.2771i | −0.00771385 | − | 0.110319i | ||||
\(493\) | −158.920 | −0.322354 | ||||||||
\(494\) | 219.289 | − | 33.4319i | 0.443905 | − | 0.0676759i | ||||
\(495\) | 208.477 | + | 266.842i | 0.421165 | + | 0.539075i | ||||
\(496\) | −130.518 | − | 226.065i | −0.263142 | − | 0.455775i | ||||
\(497\) | 124.377 | − | 71.8093i | 0.250256 | − | 0.144486i | ||||
\(498\) | −399.045 | − | 591.613i | −0.801295 | − | 1.18798i | ||||
\(499\) | 454.624 | + | 787.431i | 0.911069 | + | 1.57802i | 0.812557 | + | 0.582882i | \(0.198075\pi\) |
0.0985126 | + | 0.995136i | \(0.468592\pi\) | |||||||
\(500\) | −132.708 | − | 76.6190i | −0.265416 | − | 0.153238i | ||||
\(501\) | 465.638 | + | 227.109i | 0.929417 | + | 0.453311i | ||||
\(502\) | 708.238 | 1.41083 | ||||||||
\(503\) | −125.027 | − | 72.1841i | −0.248562 | − | 0.143507i | 0.370544 | − | 0.928815i | \(-0.379171\pi\) |
−0.619105 | + | 0.785308i | \(0.712505\pi\) | |||||||
\(504\) | −99.0714 | − | 704.969i | −0.196570 | − | 1.39875i | ||||
\(505\) | −505.716 | −1.00142 | ||||||||
\(506\) | − | 332.683i | − | 0.657476i | ||||||
\(507\) | 240.894 | + | 357.143i | 0.475136 | + | 0.704424i | ||||
\(508\) | 52.1802 | + | 90.3788i | 0.102717 | + | 0.177911i | ||||
\(509\) | 150.436 | + | 86.8543i | 0.295552 | + | 0.170637i | 0.640443 | − | 0.768006i | \(-0.278751\pi\) |
−0.344891 | + | 0.938643i | \(0.612084\pi\) | |||||||
\(510\) | 23.1050 | + | 330.435i | 0.0453039 | + | 0.647911i | ||||
\(511\) | 59.4978 | + | 103.053i | 0.116434 | + | 0.201670i | ||||
\(512\) | − | 67.0653i | − | 0.130987i | ||||||
\(513\) | 181.062 | + | 479.985i | 0.352947 | + | 0.935643i | ||||
\(514\) | 13.2119 | 0.0257040 | ||||||||
\(515\) | −177.473 | + | 102.464i | −0.344608 | + | 0.198959i | ||||
\(516\) | −161.015 | + | 11.2586i | −0.312044 | + | 0.0218190i | ||||
\(517\) | −113.908 | + | 197.295i | −0.220325 | + | 0.381614i | ||||
\(518\) | −189.428 | + | 109.366i | −0.365692 | + | 0.211132i | ||||
\(519\) | 522.536 | − | 352.452i | 1.00681 | − | 0.679098i | ||||
\(520\) | −79.7446 | −0.153355 | ||||||||
\(521\) | 832.753i | 1.59837i | 0.601082 | + | 0.799187i | \(0.294736\pi\) | ||||
−0.601082 | + | 0.799187i | \(0.705264\pi\) | |||||||
\(522\) | −178.462 | + | 25.0798i | −0.341881 | + | 0.0480456i | ||||
\(523\) | 109.560 | − | 189.763i | 0.209483 | − | 0.362836i | −0.742068 | − | 0.670324i | \(-0.766155\pi\) |
0.951552 | + | 0.307488i | \(0.0994884\pi\) | |||||||
\(524\) | − | 178.577i | − | 0.340796i | ||||||
\(525\) | 311.577 | − | 638.822i | 0.593481 | − | 1.21680i | ||||
\(526\) | −596.543 | + | 1033.24i | −1.13411 | + | 1.96434i | ||||
\(527\) | −212.066 | + | 122.436i | −0.402402 | + | 0.232327i | ||||
\(528\) | 707.300 | − | 477.076i | 1.33958 | − | 0.903553i | ||||
\(529\) | −215.522 | − | 373.295i | −0.407414 | − | 0.705662i | ||||
\(530\) | 250.316 | − | 144.520i | 0.472294 | − | 0.272679i | ||||
\(531\) | −530.964 | + | 414.828i | −0.999932 | + | 0.781220i | ||||
\(532\) | −313.295 | − | 122.348i | −0.588900 | − | 0.229978i | ||||
\(533\) | − | 66.9365i | − | 0.125584i | ||||||
\(534\) | 655.088 | − | 45.8057i | 1.22676 | − | 0.0857785i | ||||
\(535\) | 86.6763 | + | 150.128i | 0.162012 | + | 0.280613i | ||||
\(536\) | −420.113 | − | 242.553i | −0.783793 | − | 0.452523i | ||||
\(537\) | 59.4494 | + | 850.213i | 0.110707 | + | 1.58326i | ||||
\(538\) | 14.1854 | − | 24.5699i | 0.0263670 | − | 0.0456690i | ||||
\(539\) | − | 1727.21i | − | 3.20446i | ||||||
\(540\) | 19.8758 | + | 93.5137i | 0.0368071 | + | 0.173174i | ||||
\(541\) | 167.676 | − | 290.423i | 0.309936 | − | 0.536826i | −0.668412 | − | 0.743791i | \(-0.733026\pi\) |
0.978348 | + | 0.206966i | \(0.0663589\pi\) | |||||||
\(542\) | −273.734 | − | 158.041i | −0.505045 | − | 0.291588i | ||||
\(543\) | 258.465 | − | 529.927i | 0.475995 | − | 0.975925i | ||||
\(544\) | 385.820 | 0.709228 | ||||||||
\(545\) | −285.337 | − | 164.740i | −0.523555 | − | 0.302275i | ||||
\(546\) | 31.6681 | + | 452.900i | 0.0580002 | + | 0.829487i | ||||
\(547\) | −128.897 | + | 223.256i | −0.235643 | + | 0.408146i | −0.959459 | − | 0.281847i | \(-0.909053\pi\) |
0.723816 | + | 0.689993i | \(0.242386\pi\) | |||||||
\(548\) | −212.651 | + | 122.774i | −0.388049 | + | 0.224040i | ||||
\(549\) | −34.6934 | + | 85.8672i | −0.0631938 | + | 0.156407i | ||||
\(550\) | 614.366 | 1.11703 | ||||||||
\(551\) | 59.7469 | − | 152.993i | 0.108434 | − | 0.277664i | ||||
\(552\) | −79.4271 | + | 162.848i | −0.143890 | + | 0.295015i | ||||
\(553\) | 702.950 | + | 1217.55i | 1.27116 | + | 2.20171i | ||||
\(554\) | 324.424 | − | 187.306i | 0.585603 | − | 0.338098i | ||||
\(555\) | −46.9770 | + | 31.6861i | −0.0846432 | + | 0.0570921i | ||||
\(556\) | −27.0009 | − | 46.7669i | −0.0485628 | − | 0.0841132i | ||||
\(557\) | 97.9737 | + | 56.5652i | 0.175895 | + | 0.101553i | 0.585363 | − | 0.810772i | \(-0.300952\pi\) |
−0.409467 | + | 0.912325i | \(0.634285\pi\) | |||||||
\(558\) | −218.820 | + | 170.958i | −0.392151 | + | 0.306377i | ||||
\(559\) | −198.569 | −0.355222 | ||||||||
\(560\) | 570.417 | + | 329.330i | 1.01860 | + | 0.588090i | ||||
\(561\) | −447.534 | − | 663.502i | −0.797743 | − | 1.18271i | ||||
\(562\) | −612.272 | −1.08945 | ||||||||
\(563\) | 833.973i | 1.48130i | 0.671890 | + | 0.740651i | \(0.265483\pi\) | ||||
−0.671890 | + | 0.740651i | \(0.734517\pi\) | |||||||
\(564\) | −53.3225 | + | 35.9662i | −0.0945434 | + | 0.0637698i | ||||
\(565\) | −2.88026 | − | 4.98876i | −0.00509780 | − | 0.00882966i | ||||
\(566\) | −267.840 | − | 154.637i | −0.473215 | − | 0.273211i | ||||
\(567\) | −1009.29 | + | 289.392i | −1.78005 | + | 0.510392i | ||||
\(568\) | −33.8049 | − | 58.5519i | −0.0595158 | − | 0.103084i | ||||
\(569\) | − | 94.3305i | − | 0.165783i | −0.996559 | − | 0.0828915i | \(-0.973585\pi\) | ||
0.996559 | − | 0.0828915i | \(-0.0264155\pi\) | |||||||
\(570\) | −326.796 | − | 101.985i | −0.573326 | − | 0.178921i | ||||
\(571\) | 870.251 | 1.52408 | 0.762042 | − | 0.647528i | \(-0.224197\pi\) | ||||
0.762042 | + | 0.647528i | \(0.224197\pi\) | |||||||
\(572\) | −86.4992 | + | 49.9403i | −0.151222 | + | 0.0873082i | ||||
\(573\) | −46.1768 | − | 660.396i | −0.0805878 | − | 1.15252i | ||||
\(574\) | −199.383 | + | 345.342i | −0.347357 | + | 0.601641i | ||||
\(575\) | −156.660 | + | 90.4476i | −0.272452 | + | 0.157300i | ||||
\(576\) | −265.386 | + | 37.2955i | −0.460739 | + | 0.0647491i | ||||
\(577\) | −506.403 | −0.877648 | −0.438824 | − | 0.898573i | \(-0.644605\pi\) | ||||
−0.438824 | + | 0.898573i | \(0.644605\pi\) | |||||||
\(578\) | − | 113.439i | − | 0.196262i | ||||||
\(579\) | −73.9015 | − | 109.564i | −0.127637 | − | 0.189230i | ||||
\(580\) | 15.3044 | − | 26.5079i | 0.0263868 | − | 0.0457033i | ||||
\(581\) | 1331.12i | 2.29109i | ||||||||
\(582\) | 268.068 | + | 130.747i | 0.460598 | + | 0.224651i | ||||
\(583\) | −349.181 | + | 604.799i | −0.598938 | + | 1.03739i | ||||
\(584\) | 48.5133 | − | 28.0092i | 0.0830707 | − | 0.0479609i | ||||
\(585\) | 16.3677 | + | 116.469i | 0.0279790 | + | 0.199092i | ||||
\(586\) | −471.491 | − | 816.647i | −0.804593 | − | 1.39360i | ||||
\(587\) | 566.798 | − | 327.241i | 0.965584 | − | 0.557480i | 0.0676970 | − | 0.997706i | \(-0.478435\pi\) |
0.897887 | + | 0.440226i | \(0.145102\pi\) | |||||||
\(588\) | 213.767 | − | 438.282i | 0.363549 | − | 0.745378i | ||||
\(589\) | −38.1424 | − | 250.186i | −0.0647579 | − | 0.424765i | ||||
\(590\) | − | 449.646i | − | 0.762111i | ||||||
\(591\) | 3.84562 | + | 54.9979i | 0.00650697 | + | 0.0930591i | ||||
\(592\) | 71.3820 | + | 123.637i | 0.120578 | + | 0.208847i | ||||
\(593\) | −99.8164 | − | 57.6290i | −0.168324 | − | 0.0971822i | 0.413471 | − | 0.910517i | \(-0.364316\pi\) |
−0.581796 | + | 0.813335i | \(0.697650\pi\) | |||||||
\(594\) | −607.274 | − | 674.461i | −1.02235 | − | 1.13546i | ||||
\(595\) | 308.937 | − | 535.095i | 0.519222 | − | 0.899319i | ||||
\(596\) | 116.151i | 0.194884i | ||||||||
\(597\) | −322.051 | + | 660.295i | −0.539448 | + | 1.10602i | ||||
\(598\) | 57.7747 | − | 100.069i | 0.0966133 | − | 0.167339i | ||||
\(599\) | 860.681 | + | 496.914i | 1.43686 | + | 0.829573i | 0.997630 | − | 0.0688004i | \(-0.0219172\pi\) |
0.439232 | + | 0.898373i | \(0.355250\pi\) | |||||||
\(600\) | −300.732 | − | 146.678i | −0.501220 | − | 0.244463i | ||||
\(601\) | −315.591 | −0.525109 | −0.262555 | − | 0.964917i | \(-0.584565\pi\) | ||||
−0.262555 | + | 0.964917i | \(0.584565\pi\) | |||||||
\(602\) | 1024.47 | + | 591.476i | 1.70177 | + | 0.982518i | ||||
\(603\) | −268.025 | + | 663.370i | −0.444486 | + | 1.10012i | ||||
\(604\) | 74.8129 | − | 129.580i | 0.123862 | − | 0.214536i | ||||
\(605\) | 201.139 | − | 116.128i | 0.332461 | − | 0.191947i | ||||
\(606\) | 1352.09 | − | 94.5424i | 2.23118 | − | 0.156011i | ||||
\(607\) | −248.211 | −0.408915 | −0.204457 | − | 0.978875i | \(-0.565543\pi\) | ||||
−0.204457 | + | 0.978875i | \(0.565543\pi\) | |||||||
\(608\) | −145.051 | + | 371.429i | −0.238570 | + | 0.610903i | ||||
\(609\) | 302.139 | + | 147.365i | 0.496124 | + | 0.241978i | ||||
\(610\) | −30.9010 | − | 53.5222i | −0.0506574 | − | 0.0877412i | ||||
\(611\) | −68.5256 | + | 39.5633i | −0.112153 | + | 0.0647517i | ||||
\(612\) | −31.4448 | − | 223.754i | −0.0513804 | − | 0.365611i | ||||
\(613\) | −310.127 | − | 537.155i | −0.505916 | − | 0.876272i | −0.999977 | − | 0.00684487i | \(-0.997821\pi\) |
0.494060 | − | 0.869428i | \(-0.335512\pi\) | |||||||
\(614\) | −968.946 | − | 559.421i | −1.57809 | − | 0.911110i | ||||
\(615\) | −45.2855 | + | 92.8482i | −0.0736350 | + | 0.150973i | ||||
\(616\) | −1147.83 | −1.86337 | ||||||||
\(617\) | −103.478 | − | 59.7430i | −0.167711 | − | 0.0968282i | 0.413795 | − | 0.910370i | \(-0.364203\pi\) |
−0.581506 | + | 0.813542i | \(0.697536\pi\) | |||||||
\(618\) | 455.341 | − | 307.129i | 0.736797 | − | 0.496972i | ||||
\(619\) | −1082.13 | −1.74819 | −0.874093 | − | 0.485758i | \(-0.838543\pi\) | ||||
−0.874093 | + | 0.485758i | \(0.838543\pi\) | |||||||
\(620\) | − | 47.1635i | − | 0.0760701i | ||||||
\(621\) | 254.146 | + | 82.5803i | 0.409253 | + | 0.132980i | ||||
\(622\) | 145.667 | + | 252.302i | 0.234191 | + | 0.405630i | ||||
\(623\) | −1060.83 | − | 612.470i | −1.70277 | − | 0.983097i | ||||
\(624\) | 295.602 | − | 20.6693i | 0.473721 | − | 0.0331240i | ||||
\(625\) | −82.9959 | − | 143.753i | −0.132793 | − | 0.230005i | ||||
\(626\) | 410.649i | 0.655989i | ||||||||
\(627\) | 807.006 | − | 181.395i | 1.28709 | − | 0.289306i | ||||
\(628\) | 48.0011 | 0.0764349 | ||||||||
\(629\) | 115.981 | − | 66.9618i | 0.184390 | − | 0.106458i | ||||
\(630\) | 262.480 | − | 649.646i | 0.416635 | − | 1.03118i | ||||
\(631\) | −343.394 | + | 594.777i | −0.544207 | + | 0.942594i | 0.454450 | + | 0.890772i | \(0.349836\pi\) |
−0.998656 | + | 0.0518212i | \(0.983497\pi\) | |||||||
\(632\) | 573.171 | − | 330.921i | 0.906917 | − | 0.523609i | ||||
\(633\) | −260.669 | − | 386.462i | −0.411800 | − | 0.610524i | ||||
\(634\) | −383.596 | −0.605042 | ||||||||
\(635\) | − | 198.141i | − | 0.312033i | ||||||
\(636\) | −163.458 | + | 110.253i | −0.257009 | + | 0.173354i | ||||
\(637\) | 299.952 | − | 519.532i | 0.470882 | − | 0.815592i | ||||
\(638\) | 290.572i | 0.455443i | ||||||||
\(639\) | −78.5780 | + | 61.3909i | −0.122970 | + | 0.0960733i | ||||
\(640\) | 198.249 | − | 343.378i | 0.309765 | − | 0.536528i | ||||
\(641\) | 424.021 | − | 244.809i | 0.661499 | − | 0.381917i | −0.131349 | − | 0.991336i | \(-0.541931\pi\) |
0.792848 | + | 0.609419i | \(0.208597\pi\) | |||||||
\(642\) | −259.806 | − | 385.181i | −0.404682 | − | 0.599971i | ||||
\(643\) | 267.440 | + | 463.220i | 0.415926 | + | 0.720405i | 0.995525 | − | 0.0944967i | \(-0.0301242\pi\) |
−0.579599 | + | 0.814902i | \(0.696791\pi\) | |||||||
\(644\) | −151.729 | + | 87.6005i | −0.235603 | + | 0.136026i | ||||
\(645\) | 275.437 | + | 134.341i | 0.427034 | + | 0.208280i | ||||
\(646\) | 753.673 | + | 294.325i | 1.16668 | + | 0.455611i | ||||
\(647\) | − | 919.847i | − | 1.42171i | −0.703338 | − | 0.710855i | \(-0.748308\pi\) | ||
0.703338 | − | 0.710855i | \(-0.251692\pi\) | |||||||
\(648\) | 136.234 | + | 475.133i | 0.210238 | + | 0.733230i | ||||
\(649\) | 543.203 | + | 940.856i | 0.836985 | + | 1.44970i | ||||
\(650\) | 184.797 | + | 106.693i | 0.284303 | + | 0.164143i | ||||
\(651\) | 516.713 | − | 36.1301i | 0.793721 | − | 0.0554993i | ||||
\(652\) | −167.726 | + | 290.510i | −0.257248 | + | 0.445567i | ||||
\(653\) | − | 190.014i | − | 0.290986i | −0.989359 | − | 0.145493i | \(-0.953523\pi\) | ||
0.989359 | − | 0.145493i | \(-0.0464768\pi\) | |||||||
\(654\) | 793.683 | + | 387.109i | 1.21358 | + | 0.591909i | ||||
\(655\) | −169.525 | + | 293.626i | −0.258817 | + | 0.448284i | ||||
\(656\) | 225.400 | + | 130.135i | 0.343597 | + | 0.198376i | ||||
\(657\) | −50.8655 | − | 65.1059i | −0.0774209 | − | 0.0990958i | ||||
\(658\) | 471.387 | 0.716394 | ||||||||
\(659\) | 985.973 | + | 569.252i | 1.49617 | + | 0.863812i | 0.999990 | − | 0.00441088i | \(-0.00140403\pi\) |
0.496175 | + | 0.868222i | \(0.334737\pi\) | |||||||
\(660\) | 153.771 | − | 10.7521i | 0.232986 | − | 0.0162910i | ||||
\(661\) | 448.304 | − | 776.486i | 0.678221 | − | 1.17471i | −0.297295 | − | 0.954786i | \(-0.596084\pi\) |
0.975516 | − | 0.219928i | \(-0.0705823\pi\) | |||||||
\(662\) | 1118.75 | − | 645.913i | 1.68996 | − | 0.975699i | ||||
\(663\) | −19.3894 | − | 277.297i | −0.0292450 | − | 0.418246i | ||||
\(664\) | 626.639 | 0.943734 | ||||||||
\(665\) | 398.990 | + | 498.585i | 0.599985 | + | 0.749752i | ||||
\(666\) | 119.675 | − | 93.4990i | 0.179692 | − | 0.140389i | ||||
\(667\) | −42.7784 | − | 74.0943i | −0.0641355 | − | 0.111086i | ||||
\(668\) | 204.236 | − | 117.916i | 0.305742 | − | 0.176521i | ||||
\(669\) | 112.109 | + | 166.210i | 0.167577 | + | 0.248446i | ||||
\(670\) | −238.727 | − | 413.487i | −0.356309 | − | 0.617145i | ||||
\(671\) | 129.317 | + | 74.6612i | 0.192723 | + | 0.111269i | ||||
\(672\) | −733.520 | − | 357.765i | −1.09155 | − | 0.532389i | ||||
\(673\) | 246.938 | 0.366921 | 0.183461 | − | 0.983027i | \(-0.441270\pi\) | ||||
0.183461 | + | 0.983027i | \(0.441270\pi\) | |||||||
\(674\) | −461.025 | − | 266.173i | −0.684013 | − | 0.394915i | ||||
\(675\) | −152.501 | + | 469.332i | −0.225928 | + | 0.695307i | ||||
\(676\) | 196.101 | 0.290090 | ||||||||
\(677\) | − | 14.7839i | − | 0.0218374i | −0.999940 | − | 0.0109187i | \(-0.996524\pi\) | ||
0.999940 | − | 0.0109187i | \(-0.00347561\pi\) | |||||||
\(678\) | 8.63337 | + | 12.7996i | 0.0127336 | + | 0.0188785i | ||||
\(679\) | −278.170 | − | 481.805i | −0.409677 | − | 0.709581i | ||||
\(680\) | −251.901 | − | 145.435i | −0.370443 | − | 0.213875i | ||||
\(681\) | −58.5482 | − | 837.324i | −0.0859739 | − | 1.22955i | ||||
\(682\) | 223.864 | + | 387.744i | 0.328247 | + | 0.568540i | ||||
\(683\) | − | 267.556i | − | 0.391737i | −0.980630 | − | 0.195868i | \(-0.937248\pi\) | ||
0.980630 | − | 0.195868i | \(-0.0627525\pi\) | |||||||
\(684\) | 227.230 | + | 53.8493i | 0.332207 | + | 0.0787271i | ||||
\(685\) | 466.202 | 0.680587 | ||||||||
\(686\) | −1820.89 | + | 1051.29i | −2.65436 | + | 1.53249i | ||||
\(687\) | 178.550 | − | 12.4847i | 0.259898 | − | 0.0181728i | ||||
\(688\) | 386.048 | − | 668.655i | 0.561116 | − | 0.971882i | ||||
\(689\) | −210.062 | + | 121.280i | −0.304880 | + | 0.176023i | ||||
\(690\) | −147.841 | + | 99.7191i | −0.214262 | + | 0.144520i | ||||
\(691\) | 217.415 | 0.314638 | 0.157319 | − | 0.987548i | \(-0.449715\pi\) | ||||
0.157319 | + | 0.987548i | \(0.449715\pi\) | |||||||
\(692\) | − | 286.915i | − | 0.414617i | ||||||
\(693\) | 235.595 | + | 1676.44i | 0.339964 | + | 2.41911i | ||||
\(694\) | 191.523 | − | 331.727i | 0.275970 | − | 0.477993i | ||||
\(695\) | 102.529i | 0.147524i | ||||||||
\(696\) | 69.3733 | − | 142.235i | 0.0996743 | − | 0.204361i | ||||
\(697\) | 122.076 | − | 211.442i | 0.175145 | − | 0.303361i | ||||
\(698\) | −268.619 | + | 155.088i | −0.384842 | + | 0.222188i | ||||
\(699\) | −546.107 | + | 368.351i | −0.781269 | + | 0.526968i | ||||
\(700\) | −161.772 | − | 280.197i | −0.231103 | − | 0.400282i | ||||
\(701\) | −450.584 | + | 260.145i | −0.642773 | + | 0.371105i | −0.785682 | − | 0.618631i | \(-0.787688\pi\) |
0.142909 | + | 0.989736i | \(0.454354\pi\) | |||||||
\(702\) | −65.5348 | − | 308.334i | −0.0933544 | − | 0.439223i | ||||
\(703\) | 20.8605 | + | 136.830i | 0.0296735 | + | 0.194637i | ||||
\(704\) | 432.103i | 0.613782i | ||||||||
\(705\) | 121.819 | − | 8.51793i | 0.172793 | − | 0.0120822i | ||||
\(706\) | −28.5323 | − | 49.4194i | −0.0404140 | − | 0.0699991i | ||||
\(707\) | −2189.54 | − | 1264.13i | −3.09694 | − | 1.78802i | ||||
\(708\) | 21.3946 | + | 305.974i | 0.0302183 | + | 0.432166i | ||||
\(709\) | −87.0247 | + | 150.731i | −0.122743 | + | 0.212597i | −0.920848 | − | 0.389921i | \(-0.872502\pi\) |
0.798106 | + | 0.602518i | \(0.205836\pi\) | |||||||
\(710\) | − | 66.5436i | − | 0.0937233i | ||||||
\(711\) | −600.962 | − | 769.209i | −0.845236 | − | 1.08187i | ||||
\(712\) | −288.326 | + | 499.395i | −0.404952 | + | 0.701398i | ||||
\(713\) | −114.168 | − | 65.9151i | −0.160124 | − | 0.0924475i | ||||
\(714\) | −725.948 | + | 1488.40i | −1.01673 | + | 2.08459i | ||||
\(715\) | 189.635 | 0.265224 | ||||||||
\(716\) | 335.993 | + | 193.986i | 0.469264 | + | 0.270930i | ||||
\(717\) | −49.4826 | − | 707.674i | −0.0690134 | − | 0.986993i | ||||
\(718\) | −333.889 | + | 578.312i | −0.465026 | + | 0.805449i | ||||
\(719\) | −1030.80 | + | 595.135i | −1.43366 | + | 0.827726i | −0.997398 | − | 0.0720914i | \(-0.977033\pi\) |
−0.436266 | + | 0.899818i | \(0.643699\pi\) | |||||||
\(720\) | −424.015 | − | 171.317i | −0.588910 | − | 0.237940i | ||||
\(721\) | −1024.51 | −1.42096 | ||||||||
\(722\) | −566.694 | + | 614.909i | −0.784894 | + | 0.851674i | ||||
\(723\) | −346.340 | + | 710.096i | −0.479032 | + | 0.982152i | ||||
\(724\) | −134.196 | − | 232.434i | −0.185354 | − | 0.321042i | ||||
\(725\) | 136.830 | − | 78.9989i | 0.188731 | − | 0.108964i | ||||
\(726\) | −516.060 | + | 348.084i | −0.710827 | + | 0.479455i | ||||
\(727\) | 126.262 | + | 218.692i | 0.173675 | + | 0.300814i | 0.939702 | − | 0.341995i | \(-0.111102\pi\) |
−0.766027 | + | 0.642808i | \(0.777769\pi\) | |||||||
\(728\) | −345.261 | − | 199.336i | −0.474259 | − | 0.273814i | ||||
\(729\) | 665.981 | − | 296.496i | 0.913555 | − | 0.406716i | ||||
\(730\) | 55.1348 | 0.0755272 | ||||||||
\(731\) | −627.250 | − | 362.143i | −0.858071 | − | 0.495407i | ||||
\(732\) | 23.5741 | + | 34.9503i | 0.0322050 | + | 0.0477463i | ||||
\(733\) | 292.708 | 0.399329 | 0.199664 | − | 0.979864i | \(-0.436015\pi\) | ||||
0.199664 | + | 0.979864i | \(0.436015\pi\) | |||||||
\(734\) | 463.285i | 0.631178i | ||||||||
\(735\) | −767.553 | + | 517.716i | −1.04429 | + | 0.704376i | ||||
\(736\) | 103.855 | + | 179.883i | 0.141108 | + | 0.244406i | ||||
\(737\) | 999.044 | + | 576.798i | 1.35555 | + | 0.782630i | ||||
\(738\) | 103.719 | − | 256.707i | 0.140540 | − | 0.347842i | ||||
\(739\) | −0.332267 | − | 0.575503i | −0.000449617 | − | 0.000778759i | 0.865801 | − | 0.500389i | \(-0.166810\pi\) |
−0.866250 | + | 0.499611i | \(0.833476\pi\) | |||||||
\(740\) | 25.7942i | 0.0348571i | ||||||||
\(741\) | 274.244 | + | 85.5848i | 0.370099 | + | 0.115499i | ||||
\(742\) | 1445.02 | 1.94746 | ||||||||
\(743\) | 1247.93 | − | 720.493i | 1.67958 | − | 0.969708i | 0.717657 | − | 0.696396i | \(-0.245214\pi\) |
0.961926 | − | 0.273311i | \(-0.0881190\pi\) | |||||||
\(744\) | −17.0086 | − | 243.247i | −0.0228610 | − | 0.326946i | ||||
\(745\) | 110.263 | − | 190.982i | 0.148005 | − | 0.256351i | ||||
\(746\) | 514.417 | − | 296.999i | 0.689567 | − | 0.398122i | ||||
\(747\) | −128.619 | − | 915.222i | −0.172181 | − | 1.22520i | ||||
\(748\) | −364.317 | −0.487055 | ||||||||
\(749\) | 866.654i | 1.15708i | ||||||||
\(750\) | −436.037 | − | 646.456i | −0.581382 | − | 0.861942i | ||||
\(751\) | 636.728 | − | 1102.84i | 0.847840 | − | 1.46850i | −0.0352923 | − | 0.999377i | \(-0.511236\pi\) |
0.883132 | − | 0.469124i | \(-0.155430\pi\) | |||||||
\(752\) | − | 307.668i | − | 0.409133i | ||||||
\(753\) | 824.422 | + | 402.101i | 1.09485 | + | 0.533999i | ||||
\(754\) | −50.4617 | + | 87.4023i | −0.0669254 | + | 0.115918i | ||||
\(755\) | −246.023 | + | 142.041i | −0.325858 | + | 0.188134i | ||||
\(756\) | −147.701 | + | 454.559i | −0.195371 | + | 0.601268i | ||||
\(757\) | −78.7293 | − | 136.363i | −0.104002 | − | 0.180136i | 0.809328 | − | 0.587357i | \(-0.199831\pi\) |
−0.913330 | + | 0.407220i | \(0.866498\pi\) | |||||||
\(758\) | 687.109 | − | 396.702i | 0.906476 | − | 0.523354i | ||||
\(759\) | 188.880 | − | 387.258i | 0.248854 | − | 0.510222i | ||||
\(760\) | 234.714 | − | 187.828i | 0.308834 | − | 0.247143i | ||||
\(761\) | − | 191.065i | − | 0.251071i | −0.992089 | − | 0.125535i | \(-0.959935\pi\) | ||
0.992089 | − | 0.125535i | \(-0.0400649\pi\) | |||||||
\(762\) | 37.0420 | + | 529.754i | 0.0486115 | + | 0.695216i | ||||
\(763\) | −823.594 | − | 1426.51i | −1.07942 | − | 1.86960i | ||||
\(764\) | −260.980 | − | 150.677i | −0.341596 | − | 0.197221i | ||||
\(765\) | −160.709 | + | 397.759i | −0.210077 | + | 0.519946i | ||||
\(766\) | −535.960 | + | 928.310i | −0.699687 | + | 1.21189i | ||||
\(767\) | 377.338i | 0.491966i | ||||||||
\(768\) | −309.209 | + | 633.965i | −0.402615 | + | 0.825476i | ||||
\(769\) | −288.447 | + | 499.605i | −0.375094 | + | 0.649682i | −0.990341 | − | 0.138652i | \(-0.955723\pi\) |
0.615247 | + | 0.788334i | \(0.289056\pi\) | |||||||
\(770\) | −978.375 | − | 564.865i | −1.27062 | − | 0.733591i | ||||
\(771\) | 15.3792 | + | 7.50102i | 0.0199471 | + | 0.00972895i | ||||
\(772\) | −60.1599 | −0.0779273 | ||||||||
\(773\) | 521.999 | + | 301.376i | 0.675290 | + | 0.389879i | 0.798078 | − | 0.602554i | \(-0.205850\pi\) |
−0.122788 | + | 0.992433i | \(0.539184\pi\) | |||||||
\(774\) | −761.529 | − | 307.685i | −0.983888 | − | 0.397525i | ||||
\(775\) | 121.725 | − | 210.835i | 0.157065 | − | 0.272045i | ||||
\(776\) | −226.815 | + | 130.951i | −0.292287 | + | 0.168752i | ||||
\(777\) | −282.596 | + | 19.7599i | −0.363701 | + | 0.0254311i | ||||
\(778\) | −1362.70 | −1.75154 | ||||||||
\(779\) | 157.661 | + | 197.016i | 0.202388 | + | 0.252908i | ||||
\(780\) | 48.1204 | + | 23.4701i | 0.0616928 | + | 0.0300899i | ||||
\(781\) | 80.3893 | + | 139.238i | 0.102931 | + | 0.178282i | ||||
\(782\) | 365.003 | − | 210.735i | 0.466756 | − | 0.269482i | ||||
\(783\) | −221.977 | − | 72.1275i | −0.283495 | − | 0.0921168i | ||||
\(784\) | 1166.30 | + | 2020.10i | 1.48763 | + | 2.57666i | ||||
\(785\) | −78.9260 | − | 45.5680i | −0.100543 | − | 0.0580484i | ||||
\(786\) | 398.354 | − | 816.738i | 0.506811 | − | 1.03911i | ||||
\(787\) | 428.637 | 0.544647 | 0.272324 | − | 0.962206i | \(-0.412208\pi\) | ||||
0.272324 | + | 0.962206i | \(0.412208\pi\) | |||||||
\(788\) | 21.7345 | + | 12.5484i | 0.0275818 | + | 0.0159244i | ||||
\(789\) | −1281.03 | + | 864.056i | −1.62361 | + | 1.09513i | ||||
\(790\) | 651.403 | 0.824561 | ||||||||
\(791\) | − | 28.7990i | − | 0.0364083i | ||||||
\(792\) | 789.200 | − | 110.909i | 0.996465 | − | 0.140036i | ||||
\(793\) | 25.9318 | + | 44.9152i | 0.0327009 | + | 0.0566396i | ||||
\(794\) | 557.793 | + | 322.042i | 0.702510 | + | 0.405595i | ||||
\(795\) | 373.430 | − | 26.1114i | 0.469724 | − | 0.0328445i | ||||
\(796\) | 167.210 | + | 289.616i | 0.210062 | + | 0.363839i | ||||
\(797\) | − | 1161.58i | − | 1.45744i | −0.684814 | − | 0.728718i | \(-0.740117\pi\) | ||
0.684814 | − | 0.728718i | \(-0.259883\pi\) | |||||||
\(798\) | −1159.96 | − | 1258.44i | −1.45358 | − | 1.57699i | ||||
\(799\) | −288.616 | −0.361222 | ||||||||
\(800\) | −332.190 | + | 191.790i | −0.415237 | + | 0.239737i | ||||
\(801\) | 788.559 | + | 318.605i | 0.984468 | + | 0.397760i | ||||
\(802\) | 263.277 | − | 456.010i | 0.328276 | − | 0.568591i | ||||
\(803\) | −115.366 | + | 66.6067i | −0.143669 | + | 0.0829474i | ||||
\(804\) | 182.122 | + | 270.010i | 0.226520 | + | 0.335833i | ||||
\(805\) | 332.640 | 0.413218 | ||||||||
\(806\) | 155.508i | 0.192938i | ||||||||
\(807\) | 30.4621 | − | 20.5467i | 0.0377473 | − | 0.0254606i | ||||
\(808\) | −595.101 | + | 1030.75i | −0.736512 | + | 1.27568i | ||||
\(809\) | − | 1202.40i | − | 1.48628i | −0.669135 | − | 0.743141i | \(-0.733335\pi\) | ||
0.669135 | − | 0.743141i | \(-0.266665\pi\) | |||||||
\(810\) | −117.698 | + | 472.031i | −0.145306 | + | 0.582754i | ||||
\(811\) | 770.245 | − | 1334.10i | 0.949747 | − | 1.64501i | 0.203791 | − | 0.979014i | \(-0.434674\pi\) |
0.745956 | − | 0.665995i | \(-0.231993\pi\) | |||||||
\(812\) | 132.523 | − | 76.5122i | 0.163206 | − | 0.0942268i | ||||
\(813\) | −228.912 | − | 339.379i | −0.281565 | − | 0.417440i | ||||
\(814\) | −122.434 | − | 212.062i | −0.150410 | − | 0.260518i | ||||
\(815\) | 551.567 | − | 318.447i | 0.676770 | − | 0.390733i | ||||
\(816\) | 971.457 | + | 473.816i | 1.19051 | + | 0.580657i | ||||
\(817\) | 584.452 | − | 467.704i | 0.715364 | − | 0.572466i | ||||
\(818\) | 1699.79i | 2.07799i | ||||||||
\(819\) | −220.270 | + | 545.176i | −0.268950 | + | 0.665661i | ||||
\(820\) | 23.5124 | + | 40.7246i | 0.0286736 | + | 0.0496642i | ||||
\(821\) | 353.637 | + | 204.172i | 0.430739 | + | 0.248687i | 0.699661 | − | 0.714475i | \(-0.253334\pi\) |
−0.268923 | + | 0.963162i | \(0.586668\pi\) | |||||||
\(822\) | −1246.45 | + | 87.1555i | −1.51636 | + | 0.106029i | ||||
\(823\) | 251.418 | − | 435.469i | 0.305490 | − | 0.529124i | −0.671880 | − | 0.740660i | \(-0.734513\pi\) |
0.977370 | + | 0.211536i | \(0.0678464\pi\) | |||||||
\(824\) | 482.299i | 0.585314i | ||||||||
\(825\) | 715.150 | + | 348.805i | 0.866849 | + | 0.422795i | ||||
\(826\) | 1123.97 | − | 1946.78i | 1.36074 | − | 2.35687i | ||||
\(827\) | 388.107 | + | 224.073i | 0.469295 | + | 0.270947i | 0.715944 | − | 0.698157i | \(-0.245996\pi\) |
−0.246650 | + | 0.969105i | \(0.579330\pi\) | |||||||
\(828\) | 95.8576 | − | 74.8910i | 0.115770 | − | 0.0904480i | ||||
\(829\) | −1218.01 | −1.46925 | −0.734624 | − | 0.678474i | \(-0.762642\pi\) | ||||
−0.734624 | + | 0.678474i | \(0.762642\pi\) | |||||||
\(830\) | 534.126 | + | 308.378i | 0.643526 | + | 0.371540i | ||||
\(831\) | 483.988 | − | 33.8418i | 0.582416 | − | 0.0407242i | ||||
\(832\) | −75.0403 | + | 129.974i | −0.0901927 | + | 0.156218i | ||||
\(833\) | 1895.01 | − | 1094.08i | 2.27492 | − | 1.31342i | ||||
\(834\) | −19.1675 | − | 274.124i | −0.0229827 | − | 0.328686i | ||||
\(835\) | −447.754 | −0.536233 | ||||||||
\(836\) | 136.967 | − | 350.728i | 0.163836 | − | 0.419531i | ||||
\(837\) | −351.778 | + | 74.7685i | −0.420284 | + | 0.0893291i | ||||
\(838\) | −96.0562 | − | 166.374i | −0.114626 | − | 0.198537i | ||||
\(839\) | 571.236 | − | 329.803i | 0.680853 | − | 0.393091i | −0.119323 | − | 0.992855i | \(-0.538072\pi\) |
0.800176 | + | 0.599765i | \(0.204739\pi\) | |||||||
\(840\) | 344.054 | + | 510.085i | 0.409588 | + | 0.607244i | ||||
\(841\) | −383.136 | − | 663.612i | −0.455572 | − | 0.789075i | ||||
\(842\) | 1148.47 | + | 663.072i | 1.36398 | + | 0.787496i | ||||
\(843\) | −712.713 | − | 347.617i | −0.845448 | − | 0.412357i | ||||
\(844\) | −212.199 | −0.251421 | ||||||||
\(845\) | −322.439 | − | 186.160i | −0.381585 | − | 0.220308i | ||||
\(846\) | −324.105 | + | 45.5475i | −0.383103 | + | 0.0538386i | ||||
\(847\) | 1161.13 | 1.37087 | ||||||||
\(848\) | − | 943.144i | − | 1.11220i | ||||||
\(849\) | −223.982 | − | 332.070i | −0.263819 | − | 0.391131i | ||||
\(850\) | 389.164 | + | 674.052i | 0.457840 | + | 0.793003i | ||||
\(851\) | 62.4399 | + | 36.0497i | 0.0733724 | + | 0.0423616i | ||||
\(852\) | 3.16621 | + | 45.2814i | 0.00371621 | + | 0.0531472i | ||||
\(853\) | 124.756 | + | 216.084i | 0.146255 | + | 0.253322i | 0.929841 | − | 0.367963i | \(-0.119945\pi\) |
−0.783585 | + | 0.621284i | \(0.786611\pi\) | |||||||
\(854\) | − | 308.971i | − | 0.361793i | ||||||
\(855\) | −322.504 | − | 304.253i | −0.377197 | − | 0.355852i | ||||
\(856\) | 407.986 | 0.476619 | ||||||||
\(857\) | 201.349 | − | 116.249i | 0.234947 | − | 0.135646i | −0.377905 | − | 0.925844i | \(-0.623356\pi\) |
0.612852 | + | 0.790198i | \(0.290022\pi\) | |||||||
\(858\) | −507.014 | + | 35.4519i | −0.590925 | + | 0.0413192i | ||||
\(859\) | −579.526 | + | 1003.77i | −0.674652 | + | 1.16853i | 0.301918 | + | 0.953334i | \(0.402373\pi\) |
−0.976570 | + | 0.215198i | \(0.930960\pi\) | |||||||
\(860\) | 120.811 | − | 69.7502i | 0.140478 | − | 0.0811048i | ||||
\(861\) | −428.158 | + | 288.794i | −0.497280 | + | 0.335417i | ||||
\(862\) | −953.417 | −1.10605 | ||||||||
\(863\) | 1022.32i | 1.18461i | 0.805714 | + | 0.592304i | \(0.201782\pi\) | ||||
−0.805714 | + | 0.592304i | \(0.798218\pi\) | |||||||
\(864\) | 538.905 | + | 175.108i | 0.623733 | + | 0.202671i | ||||
\(865\) | −272.371 | + | 471.761i | −0.314880 | + | 0.545389i | ||||
\(866\) | − | 1005.30i | − | 1.16086i | ||||||
\(867\) | 64.4050 | − | 132.049i | 0.0742849 | − | 0.152305i | ||||
\(868\) | 117.894 | − | 204.198i | 0.135822 | − | 0.235251i | ||||
\(869\) | −1363.02 | + | 786.941i | −1.56849 | + | 0.905570i | ||||
\(870\) | 129.127 | − | 87.0968i | 0.148422 | − | 0.100111i | ||||
\(871\) | 200.337 | + | 346.994i | 0.230008 | + | 0.398386i | ||||
\(872\) | −671.542 | + | 387.715i | −0.770117 | + | 0.444627i | ||||
\(873\) | 237.812 | + | 304.390i | 0.272408 | + | 0.348672i | ||||
\(874\) | 65.6499 | + | 430.616i | 0.0751143 | + | 0.492695i | ||||
\(875\) | 1454.52i | 1.66231i | ||||||||
\(876\) | −37.5180 | + | 2.62337i | −0.0428288 | + | 0.00299471i | ||||
\(877\) | −275.511 | − | 477.199i | −0.314152 | − | 0.544127i | 0.665105 | − | 0.746750i | \(-0.268387\pi\) |
−0.979257 | + | 0.202623i | \(0.935053\pi\) | |||||||
\(878\) | 354.560 | + | 204.705i | 0.403827 | + | 0.233150i | ||||
\(879\) | −85.1874 | − | 1218.30i | −0.0969139 | − | 1.38601i | ||||
\(880\) | −368.680 | + | 638.572i | −0.418954 | + | 0.725650i | ||||
\(881\) | − | 206.484i | − | 0.234374i | −0.993110 | − | 0.117187i | \(-0.962612\pi\) | ||
0.993110 | − | 0.117187i | \(-0.0373877\pi\) | |||||||
\(882\) | 1955.36 | − | 1527.67i | 2.21696 | − | 1.73205i | ||||
\(883\) | −286.705 | + | 496.587i | −0.324694 | + | 0.562387i | −0.981450 | − | 0.191716i | \(-0.938595\pi\) |
0.656756 | + | 0.754103i | \(0.271928\pi\) | |||||||
\(884\) | −109.584 | − | 63.2684i | −0.123964 | − | 0.0715706i | ||||
\(885\) | 255.286 | − | 523.408i | 0.288458 | − | 0.591422i | ||||
\(886\) | −1411.33 | −1.59292 | ||||||||
\(887\) | −1402.91 | − | 809.970i | −1.58163 | − | 0.913157i | −0.994621 | − | 0.103579i | \(-0.966971\pi\) |
−0.587013 | − | 0.809578i | \(-0.699696\pi\) | |||||||
\(888\) | 9.30219 | + | 133.035i | 0.0104754 | + | 0.149814i | ||||
\(889\) | 495.290 | − | 857.867i | 0.557131 | − | 0.964980i | ||||
\(890\) | −491.519 | + | 283.779i | −0.552269 | + | 0.318852i | ||||
\(891\) | −323.970 | − | 1129.88i | −0.363603 | − | 1.26811i | ||||
\(892\) | 91.2630 | 0.102313 | ||||||||
\(893\) | 108.506 | − | 277.851i | 0.121508 | − | 0.311143i | ||||
\(894\) | −259.099 | + | 531.227i | −0.289820 | + | 0.594214i | ||||
\(895\) | −368.305 | − | 637.923i | −0.411514 | − | 0.712763i | ||||
\(896\) | 1716.67 | − | 991.122i | 1.91593 | − | 1.10616i | ||||
\(897\) | 124.066 | − | 83.6831i | 0.138313 | − | 0.0932922i | ||||
\(898\) | −358.889 | − | 621.614i | −0.399654 | − | 0.692220i | ||||
\(899\) | 99.7170 | + | 57.5716i | 0.110920 | + | 0.0640396i | ||||
\(900\) | 138.301 | + | 177.020i | 0.153668 | + | 0.196689i | ||||
\(901\) | −884.741 | −0.981955 | ||||||||
\(902\) | −386.604 | − | 223.206i | −0.428608 | − | 0.247457i | ||||
\(903\) | 856.716 | + | 1270.14i | 0.948744 | + | 1.40658i | ||||
\(904\) | −13.5574 | −0.0149971 | ||||||||
\(905\) | 509.575i | 0.563066i | ||||||||
\(906\) | 631.218 | − | 425.759i | 0.696709 | − | 0.469932i | ||||
\(907\) | 485.098 | + | 840.215i | 0.534838 | + | 0.926367i | 0.999171 | + | 0.0407060i | \(0.0129607\pi\) |
−0.464333 | + | 0.885661i | \(0.653706\pi\) | |||||||
\(908\) | −330.900 | − | 191.045i | −0.364427 | − | 0.210402i | ||||
\(909\) | 1627.58 | + | 657.598i | 1.79051 | + | 0.723430i | ||||
\(910\) | −196.192 | − | 339.815i | −0.215596 | − | 0.373423i | ||||
\(911\) | 1381.63i | 1.51660i | 0.651903 | + | 0.758302i | \(0.273971\pi\) | ||||
−0.651903 | + | 0.758302i | \(0.726029\pi\) | |||||||
\(912\) | −821.367 | + | 757.089i | −0.900621 | + | 0.830142i | ||||
\(913\) | −1490.17 | −1.63217 | ||||||||
\(914\) | 160.644 | − | 92.7476i | 0.175759 | − | 0.101474i | ||||
\(915\) | −5.58309 | − | 79.8463i | −0.00610173 | − | 0.0872637i | ||||
\(916\) | 40.7382 | − | 70.5606i | 0.0444740 | − | 0.0770312i | ||||
\(917\) | −1467.95 | + | 847.519i | −1.60081 | + | 0.924230i | ||||
\(918\) | 355.314 | − | 1093.50i | 0.387053 | − | 1.19118i | ||||
\(919\) | 821.947 | 0.894393 | 0.447197 | − | 0.894436i | \(-0.352422\pi\) | ||||
0.447197 | + | 0.894436i | \(0.352422\pi\) | |||||||
\(920\) | − | 156.594i | − | 0.170210i | ||||||
\(921\) | −810.287 | − | 1201.31i | −0.879791 | − | 1.30435i | ||||
\(922\) | 139.585 | − | 241.769i | 0.151394 | − | 0.262222i | ||||
\(923\) | 55.8426i | 0.0605012i | ||||||||
\(924\) | 692.639 | + | 337.826i | 0.749609 | + | 0.365612i | ||||
\(925\) | −66.5730 | + | 115.308i | −0.0719708 | + | 0.124657i | ||||
\(926\) | 765.525 | − | 441.976i | 0.826701 | − | 0.477296i | ||||
\(927\) | 704.409 | − | 98.9928i | 0.759881 | − | 0.106788i | ||||
\(928\) | −90.7096 | − | 157.114i | −0.0977474 | − | 0.169303i | ||||
\(929\) | −692.122 | + | 399.597i | −0.745019 | + | 0.430137i | −0.823891 | − | 0.566748i | \(-0.808201\pi\) |
0.0788725 | + | 0.996885i | \(0.474868\pi\) | |||||||
\(930\) | 105.208 | − | 215.706i | 0.113127 | − | 0.231942i | ||||
\(931\) | 340.838 | + | 2235.65i | 0.366099 | + | 2.40134i | ||||
\(932\) | 299.858i | 0.321736i | ||||||||
\(933\) | 26.3185 | + | 376.393i | 0.0282085 | + | 0.403422i | ||||
\(934\) | 202.782 | + | 351.229i | 0.217112 | + | 0.376048i | ||||
\(935\) | 599.030 | + | 345.850i | 0.640673 | + | 0.369893i | ||||
\(936\) | 256.647 | + | 103.694i | 0.274195 | + | 0.110785i | ||||
\(937\) | −490.300 | + | 849.224i | −0.523265 | + | 0.906322i | 0.476368 | + | 0.879246i | \(0.341953\pi\) |
−0.999633 | + | 0.0270763i | \(0.991380\pi\) | |||||||
\(938\) | − | 2386.97i | − | 2.54474i | ||||||
\(939\) | −233.146 | + | 478.015i | −0.248291 | + | 0.509068i | ||||
\(940\) | 27.7943 | − | 48.1412i | 0.0295684 | − | 0.0512140i | ||||
\(941\) | −1436.55 | − | 829.394i | −1.52662 | − | 0.881396i | −0.999500 | − | 0.0316070i | \(-0.989938\pi\) |
−0.527123 | − | 0.849789i | \(-0.676729\pi\) | |||||||
\(942\) | 219.537 | + | 107.077i | 0.233055 | + | 0.113669i | ||||
\(943\) | 131.442 | 0.139388 | ||||||||
\(944\) | −1270.63 | − | 733.601i | −1.34601 | − | 0.777120i | ||||
\(945\) | 674.375 | − | 607.196i | 0.713624 | − | 0.642535i | ||||
\(946\) | −662.147 | + | 1146.87i | −0.699944 | + | 1.21234i | ||||
\(947\) | −688.131 | + | 397.293i | −0.726643 | + | 0.419528i | −0.817193 | − | 0.576364i | \(-0.804471\pi\) |
0.0905498 | + | 0.995892i | \(0.471138\pi\) | |||||||
\(948\) | −443.265 | + | 30.9944i | −0.467579 | + | 0.0326945i | ||||
\(949\) | −46.2685 | −0.0487550 | ||||||||
\(950\) | −795.219 | + | 121.236i | −0.837072 | + | 0.127617i | ||||
\(951\) | −446.524 | − | 217.786i | −0.469531 | − | 0.229008i | ||||
\(952\) | −727.084 | − | 1259.35i | −0.763744 | − | 1.32284i | ||||
\(953\) | −1144.81 | + | 660.959i | −1.20127 | + | 0.693556i | −0.960838 | − | 0.277109i | \(-0.910624\pi\) |
−0.240436 | + | 0.970665i | \(0.577290\pi\) | |||||||
\(954\) | −993.532 | + | 139.624i | −1.04144 | + | 0.146356i | ||||
\(955\) | 286.078 | + | 495.501i | 0.299558 | + | 0.518850i | ||||
\(956\) | −279.663 | − | 161.464i | −0.292535 | − | 0.168895i | ||||
\(957\) | −164.972 | + | 338.240i | −0.172385 | + | 0.353438i | ||||
\(958\) | 1720.32 | 1.79574 | ||||||||
\(959\) | 2018.46 | + | 1165.36i | 2.10475 | + | 1.21518i | ||||
\(960\) | 192.022 | − | 129.519i | 0.200023 | − | 0.134916i | ||||
\(961\) | −783.582 | −0.815381 | ||||||||
\(962\) | − | 85.0490i | − | 0.0884085i | ||||||
\(963\) | −83.7399 | − | 595.873i | −0.0869573 | − | 0.618768i | ||||
\(964\) | 179.821 | + | 311.459i | 0.186536 | + | 0.323090i | ||||
\(965\) | 98.9181 | + | 57.1104i | 0.102506 | + | 0.0591818i | ||||
\(966\) | −889.355 | + | 62.1863i | −0.920657 | + | 0.0643751i | ||||
\(967\) | 466.235 | + | 807.543i | 0.482146 | + | 0.835101i | 0.999790 | − | 0.0204947i | \(-0.00652413\pi\) |
−0.517644 | + | 0.855596i | \(0.673191\pi\) | |||||||
\(968\) | − | 546.613i | − | 0.564683i | ||||||
\(969\) | 710.208 | + | 770.505i | 0.732929 | + | 0.795155i | ||||
\(970\) | −257.772 | −0.265745 | ||||||||
\(971\) | −1103.48 | + | 637.093i | −1.13643 | + | 0.656120i | −0.945545 | − | 0.325491i | \(-0.894470\pi\) |
−0.190889 | + | 0.981612i | \(0.561137\pi\) | |||||||
\(972\) | 57.6312 | − | 326.806i | 0.0592914 | − | 0.336220i | ||||
\(973\) | −256.290 | + | 443.907i | −0.263402 | + | 0.456225i | ||||
\(974\) | −654.750 | + | 378.020i | −0.672227 | + | 0.388111i | ||||
\(975\) | 154.538 | + | 229.114i | 0.158500 | + | 0.234988i | ||||
\(976\) | −201.661 | −0.206620 | ||||||||
\(977\) | − | 1316.43i | − | 1.34742i | −0.738995 | − | 0.673711i | \(-0.764699\pi\) | ||
0.738995 | − | 0.673711i | \(-0.235301\pi\) | |||||||
\(978\) | −1415.15 | + | 954.523i | −1.44698 | + | 0.975995i | ||||
\(979\) | 685.649 | − | 1187.58i | 0.700357 | − | 1.21305i | ||||
\(980\) | 421.450i | 0.430051i | ||||||||
\(981\) | 704.103 | + | 901.225i | 0.717740 | + | 0.918680i | ||||
\(982\) | −135.456 | + | 234.617i | −0.137939 | + | 0.238917i | ||||
\(983\) | −224.514 | + | 129.623i | −0.228397 | + | 0.131865i | −0.609832 | − | 0.792531i | \(-0.708763\pi\) |
0.381435 | + | 0.924395i | \(0.375430\pi\) | |||||||
\(984\) | 135.953 | + | 201.560i | 0.138163 | + | 0.204837i | ||||
\(985\) | −23.8246 | − | 41.2655i | −0.0241875 | − | 0.0418939i | ||||
\(986\) | −318.802 | + | 184.060i | −0.323329 | + | 0.186674i | ||||
\(987\) | 548.716 | + | 267.629i | 0.555944 | + | 0.271154i | ||||
\(988\) | 102.107 | − | 81.7107i | 0.103347 | − | 0.0827031i | ||||
\(989\) | − | 389.928i | − | 0.394265i | ||||||
\(990\) | 727.268 | + | 293.842i | 0.734614 | + | 0.296810i | ||||
\(991\) | 263.205 | + | 455.885i | 0.265596 | + | 0.460025i | 0.967720 | − | 0.252030i | \(-0.0810980\pi\) |
−0.702124 | + | 0.712055i | \(0.747765\pi\) | |||||||
\(992\) | −242.088 | − | 139.770i | −0.244041 | − | 0.140897i | ||||
\(993\) | 1669.00 | − | 116.701i | 1.68076 | − | 0.117524i | ||||
\(994\) | 166.338 | − | 288.106i | 0.167342 | − | 0.289845i | ||||
\(995\) | − | 634.935i | − | 0.638126i | ||||||
\(996\) | −378.134 | − | 184.430i | −0.379652 | − | 0.185171i | ||||
\(997\) | 946.796 | − | 1639.90i | 0.949645 | − | 1.64483i | 0.203474 | − | 0.979080i | \(-0.434777\pi\) |
0.746172 | − | 0.665753i | \(-0.231890\pi\) | |||||||
\(998\) | 1823.99 | + | 1053.08i | 1.82765 | + | 1.05519i | ||||
\(999\) | 192.391 | − | 40.8917i | 0.192584 | − | 0.0409327i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 57.3.h.b.26.6 | yes | 16 | |
3.2 | odd | 2 | inner | 57.3.h.b.26.3 | yes | 16 | |
19.11 | even | 3 | inner | 57.3.h.b.11.3 | ✓ | 16 | |
57.11 | odd | 6 | inner | 57.3.h.b.11.6 | yes | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
57.3.h.b.11.3 | ✓ | 16 | 19.11 | even | 3 | inner | |
57.3.h.b.11.6 | yes | 16 | 57.11 | odd | 6 | inner | |
57.3.h.b.26.3 | yes | 16 | 3.2 | odd | 2 | inner | |
57.3.h.b.26.6 | yes | 16 | 1.1 | even | 1 | trivial |