Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [11,3,Mod(2,11)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(11, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("11.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 11 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 11.d (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.299728290796\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{10})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 7.1 | ||
Root | \(-0.309017 - 0.951057i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 11.7 |
Dual form | 11.3.d.a.8.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/11\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.80902 | + | 2.48990i | −0.904508 | + | 1.24495i | 0.0644990 | + | 0.997918i | \(0.479455\pi\) |
−0.969007 | + | 0.247031i | \(0.920545\pi\) | |||||||
\(3\) | 1.11803 | − | 3.44095i | 0.372678 | − | 1.14698i | −0.572354 | − | 0.820007i | \(-0.693970\pi\) |
0.945032 | − | 0.326978i | \(-0.106030\pi\) | |||||||
\(4\) | −1.69098 | − | 5.20431i | −0.422746 | − | 1.30108i | ||||
\(5\) | −3.23607 | + | 2.35114i | −0.647214 | + | 0.470228i | −0.862321 | − | 0.506362i | \(-0.830990\pi\) |
0.215107 | + | 0.976590i | \(0.430990\pi\) | |||||||
\(6\) | 6.54508 | + | 9.00854i | 1.09085 | + | 1.50142i | ||||
\(7\) | −0.854102 | + | 0.277515i | −0.122015 | + | 0.0396449i | −0.369388 | − | 0.929275i | \(-0.620433\pi\) |
0.247373 | + | 0.968920i | \(0.420433\pi\) | |||||||
\(8\) | 4.30902 | + | 1.40008i | 0.538627 | + | 0.175011i | ||||
\(9\) | −3.30902 | − | 2.40414i | −0.367669 | − | 0.267127i | ||||
\(10\) | − | 12.3107i | − | 1.23107i | ||||||
\(11\) | 10.8713 | + | 1.67760i | 0.988302 | + | 0.152509i | ||||
\(12\) | −19.7984 | −1.64986 | ||||||||
\(13\) | −5.00000 | + | 6.88191i | −0.384615 | + | 0.529378i | −0.956800 | − | 0.290747i | \(-0.906096\pi\) |
0.572185 | + | 0.820125i | \(0.306096\pi\) | |||||||
\(14\) | 0.854102 | − | 2.62866i | 0.0610073 | − | 0.187761i | ||||
\(15\) | 4.47214 | + | 13.7638i | 0.298142 | + | 0.917588i | ||||
\(16\) | 6.42705 | − | 4.66953i | 0.401691 | − | 0.291845i | ||||
\(17\) | −14.5344 | − | 20.0049i | −0.854967 | − | 1.17676i | −0.982746 | − | 0.184959i | \(-0.940785\pi\) |
0.127779 | − | 0.991803i | \(-0.459215\pi\) | |||||||
\(18\) | 11.9721 | − | 3.88998i | 0.665119 | − | 0.216110i | ||||
\(19\) | 11.2812 | + | 3.66547i | 0.593745 | + | 0.192919i | 0.590449 | − | 0.807075i | \(-0.298951\pi\) |
0.00329617 | + | 0.999995i | \(0.498951\pi\) | |||||||
\(20\) | 17.7082 | + | 12.8658i | 0.885410 | + | 0.643288i | ||||
\(21\) | 3.24920i | 0.154724i | ||||||||
\(22\) | −23.8435 | + | 24.0337i | −1.08379 | + | 1.09244i | ||||
\(23\) | −7.23607 | −0.314612 | −0.157306 | − | 0.987550i | \(-0.550281\pi\) | ||||
−0.157306 | + | 0.987550i | \(0.550281\pi\) | |||||||
\(24\) | 9.63525 | − | 13.2618i | 0.401469 | − | 0.552575i | ||||
\(25\) | −2.78115 | + | 8.55951i | −0.111246 | + | 0.342380i | ||||
\(26\) | −8.09017 | − | 24.8990i | −0.311160 | − | 0.957653i | ||||
\(27\) | 14.3713 | − | 10.4414i | 0.532271 | − | 0.386718i | ||||
\(28\) | 2.88854 | + | 3.97574i | 0.103162 | + | 0.141991i | ||||
\(29\) | −3.29180 | + | 1.06957i | −0.113510 | + | 0.0368817i | −0.365221 | − | 0.930921i | \(-0.619007\pi\) |
0.251711 | + | 0.967802i | \(0.419007\pi\) | |||||||
\(30\) | −42.3607 | − | 13.7638i | −1.41202 | − | 0.458794i | ||||
\(31\) | −26.7984 | − | 19.4702i | −0.864464 | − | 0.628070i | 0.0646320 | − | 0.997909i | \(-0.479413\pi\) |
−0.929096 | + | 0.369840i | \(0.879413\pi\) | |||||||
\(32\) | 42.5730i | 1.33041i | ||||||||
\(33\) | 17.9271 | − | 35.5321i | 0.543244 | − | 1.07673i | ||||
\(34\) | 76.1033 | 2.23833 | ||||||||
\(35\) | 2.11146 | − | 2.90617i | 0.0603273 | − | 0.0830334i | ||||
\(36\) | −6.91641 | + | 21.2865i | −0.192122 | + | 0.591292i | ||||
\(37\) | 12.4377 | + | 38.2793i | 0.336154 | + | 1.03458i | 0.966151 | + | 0.257978i | \(0.0830561\pi\) |
−0.629997 | + | 0.776598i | \(0.716944\pi\) | |||||||
\(38\) | −29.5344 | + | 21.4580i | −0.777222 | + | 0.564685i | ||||
\(39\) | 18.0902 | + | 24.8990i | 0.463851 | + | 0.638435i | ||||
\(40\) | −17.2361 | + | 5.60034i | −0.430902 | + | 0.140008i | ||||
\(41\) | 1.24265 | + | 0.403760i | 0.0303084 | + | 0.00984781i | 0.324132 | − | 0.946012i | \(-0.394928\pi\) |
−0.293824 | + | 0.955860i | \(0.594928\pi\) | |||||||
\(42\) | −8.09017 | − | 5.87785i | −0.192623 | − | 0.139949i | ||||
\(43\) | − | 33.0625i | − | 0.768895i | −0.923147 | − | 0.384447i | \(-0.874392\pi\) | ||
0.923147 | − | 0.384447i | \(-0.125608\pi\) | |||||||
\(44\) | −9.65248 | − | 59.4145i | −0.219374 | − | 1.35033i | ||||
\(45\) | 16.3607 | 0.363571 | ||||||||
\(46\) | 13.0902 | − | 18.0171i | 0.284569 | − | 0.391676i | ||||
\(47\) | 7.03444 | − | 21.6498i | 0.149669 | − | 0.460634i | −0.847913 | − | 0.530136i | \(-0.822141\pi\) |
0.997582 | + | 0.0695019i | \(0.0221410\pi\) | |||||||
\(48\) | −8.88197 | − | 27.3359i | −0.185041 | − | 0.569498i | ||||
\(49\) | −38.9894 | + | 28.3274i | −0.795701 | + | 0.578111i | ||||
\(50\) | −16.2812 | − | 22.4091i | −0.325623 | − | 0.448182i | ||||
\(51\) | −85.0861 | + | 27.6462i | −1.66835 | + | 0.542081i | ||||
\(52\) | 44.2705 | + | 14.3844i | 0.851356 | + | 0.276622i | ||||
\(53\) | 63.5410 | + | 46.1653i | 1.19889 | + | 0.871043i | 0.994175 | − | 0.107780i | \(-0.0343741\pi\) |
0.204712 | + | 0.978822i | \(0.434374\pi\) | |||||||
\(54\) | 54.6718i | 1.01244i | ||||||||
\(55\) | −39.1246 | + | 20.1312i | −0.711357 | + | 0.366022i | ||||
\(56\) | −4.06888 | −0.0726586 | ||||||||
\(57\) | 25.2254 | − | 34.7198i | 0.442551 | − | 0.609120i | ||||
\(58\) | 3.29180 | − | 10.1311i | 0.0567551 | − | 0.174674i | ||||
\(59\) | 9.66312 | + | 29.7400i | 0.163782 | + | 0.504068i | 0.998944 | − | 0.0459347i | \(-0.0146266\pi\) |
−0.835163 | + | 0.550003i | \(0.814627\pi\) | |||||||
\(60\) | 64.0689 | − | 46.5488i | 1.06781 | − | 0.775813i | ||||
\(61\) | −16.5066 | − | 22.7194i | −0.270600 | − | 0.372448i | 0.651992 | − | 0.758226i | \(-0.273933\pi\) |
−0.922592 | + | 0.385777i | \(0.873933\pi\) | |||||||
\(62\) | 96.9574 | − | 31.5034i | 1.56383 | − | 0.508119i | ||||
\(63\) | 3.49342 | + | 1.13508i | 0.0554511 | + | 0.0180172i | ||||
\(64\) | −80.2943 | − | 58.3372i | −1.25460 | − | 0.911519i | ||||
\(65\) | − | 34.0260i | − | 0.523477i | ||||||
\(66\) | 56.0410 | + | 108.915i | 0.849106 | + | 1.65022i | ||||
\(67\) | −76.5066 | −1.14189 | −0.570945 | − | 0.820989i | \(-0.693423\pi\) | ||||
−0.570945 | + | 0.820989i | \(0.693423\pi\) | |||||||
\(68\) | −79.5344 | + | 109.470i | −1.16962 | + | 1.60985i | ||||
\(69\) | −8.09017 | + | 24.8990i | −0.117249 | + | 0.360855i | ||||
\(70\) | 3.41641 | + | 10.5146i | 0.0488058 | + | 0.150209i | ||||
\(71\) | 50.4164 | − | 36.6297i | 0.710090 | − | 0.515911i | −0.173113 | − | 0.984902i | \(-0.555382\pi\) |
0.883203 | + | 0.468991i | \(0.155382\pi\) | |||||||
\(72\) | −10.8926 | − | 14.9924i | −0.151286 | − | 0.208228i | ||||
\(73\) | 89.5344 | − | 29.0915i | 1.22650 | − | 0.398514i | 0.377054 | − | 0.926191i | \(-0.376937\pi\) |
0.849445 | + | 0.527677i | \(0.176937\pi\) | |||||||
\(74\) | −117.812 | − | 38.2793i | −1.59205 | − | 0.517288i | ||||
\(75\) | 26.3435 | + | 19.1396i | 0.351246 | + | 0.255195i | ||||
\(76\) | − | 64.9089i | − | 0.854064i | ||||||
\(77\) | −9.75078 | + | 1.58411i | −0.126633 | + | 0.0205729i | ||||
\(78\) | −94.7214 | −1.21438 | ||||||||
\(79\) | 38.7426 | − | 53.3247i | 0.490413 | − | 0.674996i | −0.490051 | − | 0.871694i | \(-0.663022\pi\) |
0.980464 | + | 0.196698i | \(0.0630218\pi\) | |||||||
\(80\) | −9.81966 | + | 30.2218i | −0.122746 | + | 0.377773i | ||||
\(81\) | −31.2361 | − | 96.1347i | −0.385630 | − | 1.18685i | ||||
\(82\) | −3.25329 | + | 2.36365i | −0.0396743 | + | 0.0288250i | ||||
\(83\) | 33.3303 | + | 45.8752i | 0.401570 | + | 0.552714i | 0.961137 | − | 0.276071i | \(-0.0890326\pi\) |
−0.559567 | + | 0.828785i | \(0.689033\pi\) | |||||||
\(84\) | 16.9098 | − | 5.49434i | 0.201308 | − | 0.0654088i | ||||
\(85\) | 94.0689 | + | 30.5648i | 1.10669 | + | 0.359586i | ||||
\(86\) | 82.3222 | + | 59.8106i | 0.957235 | + | 0.695472i | ||||
\(87\) | 12.5227i | 0.143939i | ||||||||
\(88\) | 44.4959 | + | 22.4496i | 0.505636 | + | 0.255109i | ||||
\(89\) | −62.2968 | −0.699964 | −0.349982 | − | 0.936756i | \(-0.613812\pi\) | ||||
−0.349982 | + | 0.936756i | \(0.613812\pi\) | |||||||
\(90\) | −29.5967 | + | 40.7364i | −0.328853 | + | 0.452627i | ||||
\(91\) | 2.36068 | − | 7.26543i | 0.0259415 | − | 0.0798398i | ||||
\(92\) | 12.2361 | + | 37.6587i | 0.133001 | + | 0.409334i | ||||
\(93\) | −96.9574 | + | 70.4437i | −1.04255 | + | 0.757459i | ||||
\(94\) | 41.1803 | + | 56.6799i | 0.438089 | + | 0.602977i | ||||
\(95\) | −45.1246 | + | 14.6619i | −0.474996 | + | 0.154336i | ||||
\(96\) | 146.492 | + | 47.5981i | 1.52596 | + | 0.495813i | ||||
\(97\) | −58.5795 | − | 42.5605i | −0.603913 | − | 0.438768i | 0.243353 | − | 0.969938i | \(-0.421753\pi\) |
−0.847266 | + | 0.531170i | \(0.821753\pi\) | |||||||
\(98\) | − | 148.324i | − | 1.51351i | ||||||
\(99\) | −31.9402 | − | 31.6874i | −0.322628 | − | 0.320075i | ||||
\(100\) | 49.2492 | 0.492492 | ||||||||
\(101\) | −37.8409 | + | 52.0836i | −0.374663 | + | 0.515679i | −0.954161 | − | 0.299295i | \(-0.903249\pi\) |
0.579498 | + | 0.814974i | \(0.303249\pi\) | |||||||
\(102\) | 85.0861 | − | 261.868i | 0.834177 | − | 2.56733i | ||||
\(103\) | −10.0770 | − | 31.0139i | −0.0978351 | − | 0.301105i | 0.890147 | − | 0.455673i | \(-0.150601\pi\) |
−0.987982 | + | 0.154568i | \(0.950601\pi\) | |||||||
\(104\) | −31.1803 | + | 22.6538i | −0.299811 | + | 0.217825i | ||||
\(105\) | −7.63932 | − | 10.5146i | −0.0727554 | − | 0.100139i | ||||
\(106\) | −229.894 | + | 74.6969i | −2.16881 | + | 0.704688i | ||||
\(107\) | −5.13932 | − | 1.66987i | −0.0480310 | − | 0.0156062i | 0.284903 | − | 0.958556i | \(-0.408039\pi\) |
−0.332934 | + | 0.942950i | \(0.608039\pi\) | |||||||
\(108\) | −78.6418 | − | 57.1366i | −0.728165 | − | 0.529043i | ||||
\(109\) | 137.002i | 1.25690i | 0.777850 | + | 0.628450i | \(0.216310\pi\) | ||||
−0.777850 | + | 0.628450i | \(0.783690\pi\) | |||||||
\(110\) | 20.6525 | − | 133.834i | 0.187750 | − | 1.21667i | ||||
\(111\) | 145.623 | 1.31192 | ||||||||
\(112\) | −4.19350 | + | 5.77185i | −0.0374419 | + | 0.0515344i | ||||
\(113\) | −14.3713 | + | 44.2304i | −0.127180 | + | 0.391419i | −0.994292 | − | 0.106694i | \(-0.965974\pi\) |
0.867112 | + | 0.498113i | \(0.165974\pi\) | |||||||
\(114\) | 40.8156 | + | 125.617i | 0.358032 | + | 1.10191i | ||||
\(115\) | 23.4164 | − | 17.0130i | 0.203621 | − | 0.147939i | ||||
\(116\) | 11.1327 | + | 15.3229i | 0.0959719 | + | 0.132094i | ||||
\(117\) | 33.0902 | − | 10.7516i | 0.282822 | − | 0.0918944i | ||||
\(118\) | −91.5304 | − | 29.7400i | −0.775681 | − | 0.252034i | ||||
\(119\) | 17.9656 | + | 13.0527i | 0.150971 | + | 0.109687i | ||||
\(120\) | 65.5699i | 0.546416i | ||||||||
\(121\) | 115.371 | + | 36.4754i | 0.953482 | + | 0.301450i | ||||
\(122\) | 86.4296 | 0.708439 | ||||||||
\(123\) | 2.77864 | − | 3.82447i | 0.0225906 | − | 0.0310933i | ||||
\(124\) | −56.0132 | + | 172.391i | −0.451719 | + | 1.39025i | ||||
\(125\) | −42.0263 | − | 129.344i | −0.336210 | − | 1.03475i | ||||
\(126\) | −9.14590 | + | 6.64488i | −0.0725865 | + | 0.0527372i | ||||
\(127\) | 49.0395 | + | 67.4970i | 0.386138 | + | 0.531473i | 0.957197 | − | 0.289436i | \(-0.0934676\pi\) |
−0.571060 | + | 0.820908i | \(0.693468\pi\) | |||||||
\(128\) | 128.550 | − | 41.7685i | 1.00430 | − | 0.326316i | ||||
\(129\) | −113.766 | − | 36.9650i | −0.881910 | − | 0.286550i | ||||
\(130\) | 84.7214 | + | 61.5537i | 0.651703 | + | 0.473490i | ||||
\(131\) | − | 85.0901i | − | 0.649543i | −0.945793 | − | 0.324771i | \(-0.894713\pi\) | ||
0.945793 | − | 0.324771i | \(-0.105287\pi\) | |||||||
\(132\) | −215.235 | − | 33.2137i | −1.63056 | − | 0.251619i | ||||
\(133\) | −10.6525 | −0.0800938 | ||||||||
\(134\) | 138.402 | − | 190.494i | 1.03285 | − | 1.42159i | ||||
\(135\) | −21.9574 | + | 67.5780i | −0.162648 | + | 0.500578i | ||||
\(136\) | −34.6205 | − | 106.551i | −0.254563 | − | 0.783464i | ||||
\(137\) | −47.5238 | + | 34.5281i | −0.346889 | + | 0.252030i | −0.747563 | − | 0.664191i | \(-0.768776\pi\) |
0.400674 | + | 0.916221i | \(0.368776\pi\) | |||||||
\(138\) | −47.3607 | − | 65.1864i | −0.343193 | − | 0.472365i | ||||
\(139\) | 153.108 | − | 49.7479i | 1.10150 | − | 0.357899i | 0.298820 | − | 0.954310i | \(-0.403407\pi\) |
0.802679 | + | 0.596411i | \(0.203407\pi\) | |||||||
\(140\) | −18.6950 | − | 6.07439i | −0.133536 | − | 0.0433885i | ||||
\(141\) | −66.6312 | − | 48.4104i | −0.472562 | − | 0.343336i | ||||
\(142\) | 191.795i | 1.35067i | ||||||||
\(143\) | −65.9017 | + | 66.4275i | −0.460851 | + | 0.464528i | ||||
\(144\) | −32.4934 | −0.225649 | ||||||||
\(145\) | 8.13777 | − | 11.2007i | 0.0561225 | − | 0.0772460i | ||||
\(146\) | −89.5344 | + | 275.559i | −0.613250 | + | 1.88739i | ||||
\(147\) | 53.8820 | + | 165.832i | 0.366544 | + | 1.12811i | ||||
\(148\) | 178.185 | − | 129.459i | 1.20396 | − | 0.874725i | ||||
\(149\) | −151.103 | − | 207.976i | −1.01412 | − | 1.39581i | −0.916248 | − | 0.400612i | \(-0.868798\pi\) |
−0.0978685 | − | 0.995199i | \(-0.531202\pi\) | |||||||
\(150\) | −95.3115 | + | 30.9686i | −0.635410 | + | 0.206457i | ||||
\(151\) | −274.087 | − | 89.0563i | −1.81515 | − | 0.589777i | −0.999944 | − | 0.0106004i | \(-0.996626\pi\) |
−0.815202 | − | 0.579176i | \(-0.803374\pi\) | |||||||
\(152\) | 43.4787 | + | 31.5891i | 0.286044 | + | 0.207823i | ||||
\(153\) | 101.140i | 0.661043i | ||||||||
\(154\) | 13.6950 | − | 27.1441i | 0.0889289 | − | 0.176261i | ||||
\(155\) | 132.498 | 0.854829 | ||||||||
\(156\) | 98.9919 | − | 136.251i | 0.634563 | − | 0.873401i | ||||
\(157\) | 85.4803 | − | 263.081i | 0.544460 | − | 1.67568i | −0.177809 | − | 0.984065i | \(-0.556901\pi\) |
0.722270 | − | 0.691612i | \(-0.243099\pi\) | |||||||
\(158\) | 62.6869 | + | 192.930i | 0.396753 | + | 1.22108i | ||||
\(159\) | 229.894 | − | 167.027i | 1.44587 | − | 1.05049i | ||||
\(160\) | −100.095 | − | 137.769i | −0.625595 | − | 0.861058i | ||||
\(161\) | 6.18034 | − | 2.00811i | 0.0383872 | − | 0.0124728i | ||||
\(162\) | 295.872 | + | 96.1347i | 1.82637 | + | 0.593424i | ||||
\(163\) | 56.1180 | + | 40.7721i | 0.344282 | + | 0.250136i | 0.746466 | − | 0.665423i | \(-0.231749\pi\) |
−0.402184 | + | 0.915559i | \(0.631749\pi\) | |||||||
\(164\) | − | 7.14987i | − | 0.0435967i | ||||||
\(165\) | 25.5279 | + | 157.133i | 0.154714 | + | 0.952323i | ||||
\(166\) | −174.520 | −1.05132 | ||||||||
\(167\) | −169.864 | + | 233.798i | −1.01715 | + | 1.39999i | −0.102968 | + | 0.994685i | \(0.532834\pi\) |
−0.914182 | + | 0.405303i | \(0.867166\pi\) | |||||||
\(168\) | −4.54915 | + | 14.0008i | −0.0270783 | + | 0.0833384i | ||||
\(169\) | 29.8632 | + | 91.9095i | 0.176705 | + | 0.543843i | ||||
\(170\) | −246.276 | + | 178.930i | −1.44868 | + | 1.05253i | ||||
\(171\) | −28.5172 | − | 39.2506i | −0.166767 | − | 0.229536i | ||||
\(172\) | −172.067 | + | 55.9081i | −1.00039 | + | 0.325047i | ||||
\(173\) | 174.241 | + | 56.6144i | 1.00717 | + | 0.327251i | 0.765729 | − | 0.643164i | \(-0.222379\pi\) |
0.241445 | + | 0.970414i | \(0.422379\pi\) | |||||||
\(174\) | −31.1803 | − | 22.6538i | −0.179197 | − | 0.130194i | ||||
\(175\) | − | 8.08250i | − | 0.0461857i | ||||||
\(176\) | 77.7041 | − | 39.9819i | 0.441501 | − | 0.227170i | ||||
\(177\) | 113.138 | 0.639196 | ||||||||
\(178\) | 112.696 | − | 155.113i | 0.633124 | − | 0.871420i | ||||
\(179\) | 0.633702 | − | 1.95033i | 0.00354024 | − | 0.0108957i | −0.949271 | − | 0.314460i | \(-0.898177\pi\) |
0.952811 | + | 0.303564i | \(0.0981766\pi\) | |||||||
\(180\) | −27.6656 | − | 85.1461i | −0.153698 | − | 0.473034i | ||||
\(181\) | 58.9787 | − | 42.8505i | 0.325849 | − | 0.236743i | −0.412818 | − | 0.910814i | \(-0.635455\pi\) |
0.738667 | + | 0.674070i | \(0.235455\pi\) | |||||||
\(182\) | 13.8197 | + | 19.0211i | 0.0759322 | + | 0.104512i | ||||
\(183\) | −96.6312 | + | 31.3974i | −0.528039 | + | 0.171570i | ||||
\(184\) | −31.1803 | − | 10.1311i | −0.169458 | − | 0.0550604i | ||||
\(185\) | −130.249 | − | 94.6316i | −0.704050 | − | 0.511522i | ||||
\(186\) | − | 368.848i | − | 1.98305i | ||||||
\(187\) | −124.448 | − | 241.863i | −0.665499 | − | 1.29339i | ||||
\(188\) | −124.567 | −0.662592 | ||||||||
\(189\) | −9.37694 | + | 12.9063i | −0.0496134 | + | 0.0682870i | ||||
\(190\) | 45.1246 | − | 138.879i | 0.237498 | − | 0.730944i | ||||
\(191\) | −32.0770 | − | 98.7229i | −0.167942 | − | 0.516874i | 0.831299 | − | 0.555826i | \(-0.187598\pi\) |
−0.999241 | + | 0.0389523i | \(0.987598\pi\) | |||||||
\(192\) | −290.508 | + | 211.066i | −1.51306 | + | 1.09930i | ||||
\(193\) | 202.207 | + | 278.314i | 1.04770 | + | 1.44204i | 0.890784 | + | 0.454428i | \(0.150156\pi\) |
0.156919 | + | 0.987611i | \(0.449844\pi\) | |||||||
\(194\) | 211.943 | − | 68.8644i | 1.09249 | − | 0.354971i | ||||
\(195\) | −117.082 | − | 38.0423i | −0.600421 | − | 0.195089i | ||||
\(196\) | 213.355 | + | 155.012i | 1.08855 | + | 0.790875i | ||||
\(197\) | 99.0718i | 0.502903i | 0.967870 | + | 0.251451i | \(0.0809078\pi\) | ||||
−0.967870 | + | 0.251451i | \(0.919092\pi\) | |||||||
\(198\) | 136.679 | − | 22.2048i | 0.690297 | − | 0.112146i | ||||
\(199\) | −153.469 | −0.771201 | −0.385601 | − | 0.922666i | \(-0.626006\pi\) | ||||
−0.385601 | + | 0.922666i | \(0.626006\pi\) | |||||||
\(200\) | −23.9681 | + | 32.9892i | −0.119840 | + | 0.164946i | ||||
\(201\) | −85.5370 | + | 263.256i | −0.425557 | + | 1.30973i | ||||
\(202\) | −61.2279 | − | 188.440i | −0.303109 | − | 0.932872i | ||||
\(203\) | 2.51471 | − | 1.82704i | 0.0123877 | − | 0.00900021i | ||||
\(204\) | 287.758 | + | 396.065i | 1.41058 | + | 1.94150i | ||||
\(205\) | −4.97058 | + | 1.61504i | −0.0242467 | + | 0.00787825i | ||||
\(206\) | 95.4508 | + | 31.0139i | 0.463354 | + | 0.150553i | ||||
\(207\) | 23.9443 | + | 17.3965i | 0.115673 | + | 0.0840412i | ||||
\(208\) | 67.5780i | 0.324894i | ||||||||
\(209\) | 116.492 | + | 58.7737i | 0.557377 | + | 0.281214i | ||||
\(210\) | 40.0000 | 0.190476 | ||||||||
\(211\) | −196.035 | + | 269.820i | −0.929078 | + | 1.27877i | 0.0311405 | + | 0.999515i | \(0.490086\pi\) |
−0.960218 | + | 0.279251i | \(0.909914\pi\) | |||||||
\(212\) | 132.812 | − | 408.752i | 0.626469 | − | 1.92807i | ||||
\(213\) | −69.6738 | − | 214.434i | −0.327107 | − | 1.00673i | ||||
\(214\) | 13.4549 | − | 9.77557i | 0.0628734 | − | 0.0456802i | ||||
\(215\) | 77.7345 | + | 106.992i | 0.361556 | + | 0.497639i | ||||
\(216\) | 76.5451 | − | 24.8710i | 0.354375 | − | 0.115144i | ||||
\(217\) | 28.2918 | + | 9.19256i | 0.130377 | + | 0.0423620i | ||||
\(218\) | −341.122 | − | 247.839i | −1.56478 | − | 1.13688i | ||||
\(219\) | − | 340.609i | − | 1.55529i | ||||||
\(220\) | 170.928 | + | 169.575i | 0.776946 | + | 0.770796i | ||||
\(221\) | 210.344 | 0.951785 | ||||||||
\(222\) | −263.435 | + | 362.587i | −1.18664 | + | 1.63327i | ||||
\(223\) | 35.2198 | − | 108.395i | 0.157936 | − | 0.486078i | −0.840510 | − | 0.541796i | \(-0.817745\pi\) |
0.998447 | + | 0.0557176i | \(0.0177446\pi\) | |||||||
\(224\) | −11.8146 | − | 36.3617i | −0.0527439 | − | 0.162329i | ||||
\(225\) | 29.7812 | − | 21.6373i | 0.132361 | − | 0.0961657i | ||||
\(226\) | −84.1312 | − | 115.797i | −0.372262 | − | 0.512375i | ||||
\(227\) | −37.1058 | + | 12.0564i | −0.163462 | + | 0.0531120i | −0.389605 | − | 0.920982i | \(-0.627388\pi\) |
0.226143 | + | 0.974094i | \(0.427388\pi\) | |||||||
\(228\) | −223.348 | − | 72.5703i | −0.979599 | − | 0.318291i | ||||
\(229\) | −108.575 | − | 78.8847i | −0.474129 | − | 0.344475i | 0.324919 | − | 0.945742i | \(-0.394663\pi\) |
−0.799048 | + | 0.601267i | \(0.794663\pi\) | |||||||
\(230\) | 89.0813i | 0.387310i | ||||||||
\(231\) | −5.45085 | + | 35.3231i | −0.0235968 | + | 0.152914i | ||||
\(232\) | −15.6819 | −0.0675944 | ||||||||
\(233\) | 157.139 | − | 216.283i | 0.674415 | − | 0.928253i | −0.325435 | − | 0.945564i | \(-0.605511\pi\) |
0.999850 | + | 0.0173116i | \(0.00551073\pi\) | |||||||
\(234\) | −33.0902 | + | 101.841i | −0.141411 | + | 0.435218i | ||||
\(235\) | 28.1378 | + | 86.5991i | 0.119735 | + | 0.368507i | ||||
\(236\) | 138.436 | − | 100.580i | 0.586594 | − | 0.426185i | ||||
\(237\) | −140.172 | − | 192.930i | −0.591444 | − | 0.814053i | ||||
\(238\) | −65.0000 | + | 21.1198i | −0.273109 | + | 0.0887386i | ||||
\(239\) | 104.751 | + | 34.0356i | 0.438288 | + | 0.142408i | 0.519846 | − | 0.854260i | \(-0.325990\pi\) |
−0.0815577 | + | 0.996669i | \(0.525990\pi\) | |||||||
\(240\) | 93.0132 | + | 67.5780i | 0.387555 | + | 0.281575i | ||||
\(241\) | 191.103i | 0.792960i | 0.918043 | + | 0.396480i | \(0.129768\pi\) | ||||
−0.918043 | + | 0.396480i | \(0.870232\pi\) | |||||||
\(242\) | −299.529 | + | 221.278i | −1.23772 | + | 0.914373i | ||||
\(243\) | −205.843 | −0.847090 | ||||||||
\(244\) | −90.3262 | + | 124.323i | −0.370189 | + | 0.509522i | ||||
\(245\) | 59.5704 | − | 183.339i | 0.243145 | − | 0.748322i | ||||
\(246\) | 4.49593 | + | 13.8371i | 0.0182762 | + | 0.0562482i | ||||
\(247\) | −81.6312 | + | 59.3085i | −0.330491 | + | 0.240116i | ||||
\(248\) | −88.2148 | − | 121.417i | −0.355705 | − | 0.489586i | ||||
\(249\) | 195.119 | − | 63.3980i | 0.783610 | − | 0.254610i | ||||
\(250\) | 398.079 | + | 129.344i | 1.59232 | + | 0.517375i | ||||
\(251\) | 345.559 | + | 251.063i | 1.37673 | + | 1.00025i | 0.997177 | + | 0.0750826i | \(0.0239221\pi\) |
0.379553 | + | 0.925170i | \(0.376078\pi\) | |||||||
\(252\) | − | 20.1003i | − | 0.0797629i | ||||||
\(253\) | −78.6656 | − | 12.1392i | −0.310931 | − | 0.0479811i | ||||
\(254\) | −256.774 | −1.01092 | ||||||||
\(255\) | 210.344 | − | 289.514i | 0.824880 | − | 1.13535i | ||||
\(256\) | −5.87132 | + | 18.0701i | −0.0229349 | + | 0.0705862i | ||||
\(257\) | 8.73917 | + | 26.8964i | 0.0340046 | + | 0.104655i | 0.966618 | − | 0.256221i | \(-0.0824776\pi\) |
−0.932614 | + | 0.360877i | \(0.882478\pi\) | |||||||
\(258\) | 297.844 | − | 216.397i | 1.15444 | − | 0.838747i | ||||
\(259\) | −21.2461 | − | 29.2428i | −0.0820313 | − | 0.112906i | ||||
\(260\) | −177.082 | + | 57.5374i | −0.681085 | + | 0.221298i | ||||
\(261\) | 13.4640 | + | 4.37472i | 0.0515862 | + | 0.0167614i | ||||
\(262\) | 211.866 | + | 153.929i | 0.808648 | + | 0.587517i | ||||
\(263\) | − | 94.5506i | − | 0.359508i | −0.983712 | − | 0.179754i | \(-0.942470\pi\) | ||
0.983712 | − | 0.179754i | \(-0.0575302\pi\) | |||||||
\(264\) | 126.996 | − | 128.009i | 0.481045 | − | 0.484883i | ||||
\(265\) | −314.164 | −1.18552 | ||||||||
\(266\) | 19.2705 | − | 26.5236i | 0.0724455 | − | 0.0997127i | ||||
\(267\) | −69.6500 | + | 214.361i | −0.260861 | + | 0.802848i | ||||
\(268\) | 129.371 | + | 398.164i | 0.482729 | + | 1.48569i | ||||
\(269\) | −189.305 | + | 137.538i | −0.703736 | + | 0.511294i | −0.881147 | − | 0.472843i | \(-0.843228\pi\) |
0.177411 | + | 0.984137i | \(0.443228\pi\) | |||||||
\(270\) | −128.541 | − | 176.922i | −0.476078 | − | 0.655265i | ||||
\(271\) | 136.400 | − | 44.3191i | 0.503322 | − | 0.163539i | −0.0463413 | − | 0.998926i | \(-0.514756\pi\) |
0.549663 | + | 0.835387i | \(0.314756\pi\) | |||||||
\(272\) | −186.827 | − | 60.7038i | −0.686865 | − | 0.223176i | ||||
\(273\) | −22.3607 | − | 16.2460i | −0.0819073 | − | 0.0595091i | ||||
\(274\) | − | 180.791i | − | 0.659822i | ||||||
\(275\) | −44.5942 | + | 88.3875i | −0.162161 | + | 0.321409i | ||||
\(276\) | 143.262 | 0.519067 | ||||||||
\(277\) | 228.695 | − | 314.772i | 0.825614 | − | 1.13636i | −0.163110 | − | 0.986608i | \(-0.552152\pi\) |
0.988724 | − | 0.149752i | \(-0.0478476\pi\) | |||||||
\(278\) | −153.108 | + | 471.219i | −0.550749 | + | 1.69503i | ||||
\(279\) | 41.8673 | + | 128.854i | 0.150062 | + | 0.461843i | ||||
\(280\) | 13.1672 | − | 9.56652i | 0.0470257 | − | 0.0341661i | ||||
\(281\) | −59.3860 | − | 81.7379i | −0.211338 | − | 0.290882i | 0.690167 | − | 0.723650i | \(-0.257537\pi\) |
−0.901505 | + | 0.432768i | \(0.857537\pi\) | |||||||
\(282\) | 241.074 | − | 78.3297i | 0.854872 | − | 0.277765i | ||||
\(283\) | −2.01626 | − | 0.655123i | −0.00712460 | − | 0.00231492i | 0.305453 | − | 0.952207i | \(-0.401192\pi\) |
−0.312577 | + | 0.949892i | \(0.601192\pi\) | |||||||
\(284\) | −275.885 | − | 200.443i | −0.971428 | − | 0.705783i | ||||
\(285\) | 171.664i | 0.602331i | ||||||||
\(286\) | −46.1803 | − | 284.257i | −0.161470 | − | 0.993905i | ||||
\(287\) | −1.17340 | −0.00408849 | ||||||||
\(288\) | 102.352 | − | 140.875i | 0.355387 | − | 0.489149i | ||||
\(289\) | −99.6418 | + | 306.666i | −0.344781 | + | 1.06113i | ||||
\(290\) | 13.1672 | + | 40.5244i | 0.0454041 | + | 0.139739i | ||||
\(291\) | −211.943 | + | 153.985i | −0.728325 | + | 0.529159i | ||||
\(292\) | −302.802 | − | 416.772i | −1.03699 | − | 1.42730i | ||||
\(293\) | −447.100 | + | 145.272i | −1.52594 | + | 0.495808i | −0.947456 | − | 0.319886i | \(-0.896355\pi\) |
−0.578483 | + | 0.815694i | \(0.696355\pi\) | |||||||
\(294\) | −510.377 | − | 165.832i | −1.73598 | − | 0.564053i | ||||
\(295\) | −101.193 | − | 73.5214i | −0.343029 | − | 0.249225i | ||||
\(296\) | 182.360i | 0.616081i | ||||||||
\(297\) | 173.752 | − | 89.4023i | 0.585023 | − | 0.301018i | ||||
\(298\) | 791.187 | 2.65499 | ||||||||
\(299\) | 36.1803 | − | 49.7980i | 0.121004 | − | 0.166548i | ||||
\(300\) | 55.0623 | − | 169.464i | 0.183541 | − | 0.564881i | ||||
\(301\) | 9.17531 | + | 28.2387i | 0.0304828 | + | 0.0938163i | ||||
\(302\) | 717.569 | − | 521.345i | 2.37606 | − | 1.72631i | ||||
\(303\) | 136.910 | + | 188.440i | 0.451848 | + | 0.621915i | ||||
\(304\) | 89.6205 | − | 29.1195i | 0.294804 | − | 0.0957878i | ||||
\(305\) | 106.833 | + | 34.7121i | 0.350272 | + | 0.113810i | ||||
\(306\) | −251.827 | − | 182.963i | −0.822965 | − | 0.597919i | ||||
\(307\) | − | 99.4185i | − | 0.323839i | −0.986804 | − | 0.161919i | \(-0.948232\pi\) | ||
0.986804 | − | 0.161919i | \(-0.0517685\pi\) | |||||||
\(308\) | 24.7326 | + | 48.0674i | 0.0803006 | + | 0.156063i | ||||
\(309\) | −117.984 | −0.381824 | ||||||||
\(310\) | −239.692 | + | 329.908i | −0.773200 | + | 1.06422i | ||||
\(311\) | 104.823 | − | 322.611i | 0.337051 | − | 1.03734i | −0.628652 | − | 0.777686i | \(-0.716393\pi\) |
0.965703 | − | 0.259649i | \(-0.0836068\pi\) | |||||||
\(312\) | 43.0902 | + | 132.618i | 0.138110 | + | 0.425057i | ||||
\(313\) | −312.595 | + | 227.114i | −0.998707 | + | 0.725603i | −0.961810 | − | 0.273716i | \(-0.911747\pi\) |
−0.0368962 | + | 0.999319i | \(0.511747\pi\) | |||||||
\(314\) | 500.410 | + | 688.756i | 1.59366 | + | 2.19349i | ||||
\(315\) | −13.9737 | + | 4.54033i | −0.0443609 | + | 0.0144137i | ||||
\(316\) | −343.031 | − | 111.458i | −1.08554 | − | 0.352714i | ||||
\(317\) | 204.740 | + | 148.752i | 0.645866 | + | 0.469249i | 0.861860 | − | 0.507145i | \(-0.169299\pi\) |
−0.215994 | + | 0.976395i | \(0.569299\pi\) | |||||||
\(318\) | 874.567i | 2.75021i | ||||||||
\(319\) | −37.5805 | + | 6.10532i | −0.117807 | + | 0.0191389i | ||||
\(320\) | 396.997 | 1.24062 | ||||||||
\(321\) | −11.4919 | + | 15.8172i | −0.0358002 | + | 0.0492748i | ||||
\(322\) | −6.18034 | + | 19.0211i | −0.0191936 | + | 0.0590718i | ||||
\(323\) | −90.6378 | − | 278.954i | −0.280612 | − | 0.863636i | ||||
\(324\) | −447.495 | + | 325.124i | −1.38116 | + | 1.00347i | ||||
\(325\) | −45.0000 | − | 61.9372i | −0.138462 | − | 0.190576i | ||||
\(326\) | −203.037 | + | 65.9707i | −0.622813 | + | 0.202364i | ||||
\(327\) | 471.418 | + | 153.173i | 1.44165 | + | 0.468419i | ||||
\(328\) | 4.78928 | + | 3.47962i | 0.0146015 | + | 0.0106086i | ||||
\(329\) | 20.4433i | 0.0621376i | ||||||||
\(330\) | −437.426 | − | 220.695i | −1.32553 | − | 0.668773i | ||||
\(331\) | 372.116 | 1.12422 | 0.562109 | − | 0.827063i | \(-0.309990\pi\) | ||||
0.562109 | + | 0.827063i | \(0.309990\pi\) | |||||||
\(332\) | 182.388 | − | 251.035i | 0.549361 | − | 0.756131i | ||||
\(333\) | 50.8723 | − | 156.569i | 0.152770 | − | 0.470177i | ||||
\(334\) | −274.846 | − | 845.889i | −0.822892 | − | 2.53260i | ||||
\(335\) | 247.580 | − | 179.878i | 0.739046 | − | 0.536949i | ||||
\(336\) | 15.1722 | + | 20.8828i | 0.0451554 | + | 0.0621511i | ||||
\(337\) | −78.1910 | + | 25.4058i | −0.232021 | + | 0.0753881i | −0.422720 | − | 0.906260i | \(-0.638925\pi\) |
0.190699 | + | 0.981649i | \(0.438925\pi\) | |||||||
\(338\) | −282.868 | − | 91.9095i | −0.836888 | − | 0.271921i | ||||
\(339\) | 136.127 | + | 98.9021i | 0.401555 | + | 0.291747i | ||||
\(340\) | − | 541.248i | − | 1.59191i | ||||||
\(341\) | −258.671 | − | 256.623i | −0.758565 | − | 0.752561i | ||||
\(342\) | 149.318 | 0.436603 | ||||||||
\(343\) | 51.3050 | − | 70.6152i | 0.149577 | − | 0.205875i | ||||
\(344\) | 46.2902 | − | 142.467i | 0.134565 | − | 0.414147i | ||||
\(345\) | −32.3607 | − | 99.5959i | −0.0937991 | − | 0.288684i | ||||
\(346\) | −456.169 | + | 331.426i | −1.31841 | + | 0.957879i | ||||
\(347\) | −134.861 | − | 185.620i | −0.388647 | − | 0.534927i | 0.569202 | − | 0.822198i | \(-0.307252\pi\) |
−0.957850 | + | 0.287270i | \(0.907252\pi\) | |||||||
\(348\) | 65.1722 | − | 21.1757i | 0.187276 | − | 0.0608498i | ||||
\(349\) | 220.997 | + | 71.8062i | 0.633229 | + | 0.205749i | 0.608005 | − | 0.793933i | \(-0.291970\pi\) |
0.0252240 | + | 0.999682i | \(0.491970\pi\) | |||||||
\(350\) | 20.1246 | + | 14.6214i | 0.0574989 | + | 0.0417754i | ||||
\(351\) | 151.109i | 0.430510i | ||||||||
\(352\) | −71.4205 | + | 462.825i | −0.202899 | + | 1.31484i | ||||
\(353\) | 34.6443 | 0.0981426 | 0.0490713 | − | 0.998795i | \(-0.484374\pi\) | ||||
0.0490713 | + | 0.998795i | \(0.484374\pi\) | |||||||
\(354\) | −204.668 | + | 281.702i | −0.578159 | + | 0.795767i | ||||
\(355\) | −77.0294 | + | 237.072i | −0.216984 | + | 0.667809i | ||||
\(356\) | 105.343 | + | 324.212i | 0.295907 | + | 0.910708i | ||||
\(357\) | 65.0000 | − | 47.2253i | 0.182073 | − | 0.132284i | ||||
\(358\) | 3.70976 | + | 5.10604i | 0.0103624 | + | 0.0142627i | ||||
\(359\) | −429.681 | + | 139.612i | −1.19688 | + | 0.388891i | −0.838613 | − | 0.544728i | \(-0.816633\pi\) |
−0.358269 | + | 0.933618i | \(0.616633\pi\) | |||||||
\(360\) | 70.4984 | + | 22.9063i | 0.195829 | + | 0.0636287i | ||||
\(361\) | −178.226 | − | 129.489i | −0.493702 | − | 0.358695i | ||||
\(362\) | 224.368i | 0.619802i | ||||||||
\(363\) | 254.499 | − | 356.207i | 0.701100 | − | 0.981286i | ||||
\(364\) | −41.8034 | −0.114845 | ||||||||
\(365\) | −221.341 | + | 304.650i | −0.606415 | + | 0.834658i | ||||
\(366\) | 96.6312 | − | 297.400i | 0.264020 | − | 0.812569i | ||||
\(367\) | 113.974 | + | 350.775i | 0.310555 | + | 0.955790i | 0.977546 | + | 0.210724i | \(0.0675821\pi\) |
−0.666991 | + | 0.745066i | \(0.732418\pi\) | |||||||
\(368\) | −46.5066 | + | 33.7890i | −0.126377 | + | 0.0918180i | ||||
\(369\) | −3.14124 | − | 4.32355i | −0.00851284 | − | 0.0117169i | ||||
\(370\) | 471.246 | − | 153.117i | 1.27364 | − | 0.413830i | ||||
\(371\) | −67.0820 | − | 21.7963i | −0.180814 | − | 0.0587501i | ||||
\(372\) | 530.564 | + | 385.477i | 1.42625 | + | 1.03623i | ||||
\(373\) | − | 593.166i | − | 1.59026i | −0.606440 | − | 0.795129i | \(-0.707403\pi\) | ||
0.606440 | − | 0.795129i | \(-0.292597\pi\) | |||||||
\(374\) | 827.344 | + | 127.671i | 2.21215 | + | 0.341366i | ||||
\(375\) | −492.053 | −1.31214 | ||||||||
\(376\) | 60.6231 | − | 83.4405i | 0.161232 | − | 0.221916i | ||||
\(377\) | 9.09830 | − | 28.0017i | 0.0241334 | − | 0.0742750i | ||||
\(378\) | −15.1722 | − | 46.6953i | −0.0401381 | − | 0.123532i | ||||
\(379\) | 227.537 | − | 165.315i | 0.600361 | − | 0.436188i | −0.245646 | − | 0.969360i | \(-0.579000\pi\) |
0.846007 | + | 0.533172i | \(0.179000\pi\) | |||||||
\(380\) | 152.610 | + | 210.050i | 0.401605 | + | 0.552762i | ||||
\(381\) | 287.082 | − | 93.2786i | 0.753496 | − | 0.244826i | ||||
\(382\) | 303.838 | + | 98.7229i | 0.795387 | + | 0.258437i | ||||
\(383\) | −515.795 | − | 374.747i | −1.34672 | − | 0.978452i | −0.999168 | − | 0.0407931i | \(-0.987012\pi\) |
−0.347556 | − | 0.937659i | \(-0.612988\pi\) | |||||||
\(384\) | − | 489.034i | − | 1.27353i | ||||||
\(385\) | 27.8297 | − | 28.0517i | 0.0722850 | − | 0.0728617i | ||||
\(386\) | −1058.77 | −2.74292 | ||||||||
\(387\) | −79.4868 | + | 109.404i | −0.205392 | + | 0.282698i | ||||
\(388\) | −122.441 | + | 376.835i | −0.315570 | + | 0.971225i | ||||
\(389\) | 206.259 | + | 634.801i | 0.530229 | + | 1.63188i | 0.753737 | + | 0.657176i | \(0.228249\pi\) |
−0.223507 | + | 0.974702i | \(0.571751\pi\) | |||||||
\(390\) | 306.525 | − | 222.703i | 0.785961 | − | 0.571034i | ||||
\(391\) | 105.172 | + | 144.757i | 0.268983 | + | 0.370223i | ||||
\(392\) | −207.667 | + | 67.4750i | −0.529762 | + | 0.172130i | ||||
\(393\) | −292.791 | − | 95.1336i | −0.745016 | − | 0.242070i | ||||
\(394\) | −246.679 | − | 179.223i | −0.626088 | − | 0.454880i | ||||
\(395\) | 263.652i | 0.667473i | ||||||||
\(396\) | −110.901 | + | 219.810i | −0.280052 | + | 0.555075i | ||||
\(397\) | −5.37384 | −0.0135361 | −0.00676805 | − | 0.999977i | \(-0.502154\pi\) | ||||
−0.00676805 | + | 0.999977i | \(0.502154\pi\) | |||||||
\(398\) | 277.628 | − | 382.122i | 0.697558 | − | 0.960106i | ||||
\(399\) | −11.9098 | + | 36.6547i | −0.0298492 | + | 0.0918664i | ||||
\(400\) | 22.0942 | + | 67.9991i | 0.0552356 | + | 0.169998i | ||||
\(401\) | 228.786 | − | 166.223i | 0.570539 | − | 0.414521i | −0.264762 | − | 0.964314i | \(-0.585293\pi\) |
0.835301 | + | 0.549793i | \(0.185293\pi\) | |||||||
\(402\) | −500.742 | − | 689.212i | −1.24563 | − | 1.71446i | ||||
\(403\) | 267.984 | − | 87.0732i | 0.664972 | − | 0.216063i | ||||
\(404\) | 335.048 | + | 108.864i | 0.829326 | + | 0.269464i | ||||
\(405\) | 327.108 | + | 237.658i | 0.807675 | + | 0.586810i | ||||
\(406\) | 9.56652i | 0.0235629i | ||||||||
\(407\) | 70.9969 | + | 437.012i | 0.174440 | + | 1.07374i | ||||
\(408\) | −405.344 | −0.993491 | ||||||||
\(409\) | −18.2554 | + | 25.1265i | −0.0446343 | + | 0.0614339i | −0.830751 | − | 0.556644i | \(-0.812089\pi\) |
0.786116 | + | 0.618078i | \(0.212089\pi\) | |||||||
\(410\) | 4.97058 | − | 15.2979i | 0.0121234 | − | 0.0373119i | ||||
\(411\) | 65.6763 | + | 202.131i | 0.159796 | + | 0.491802i | ||||
\(412\) | −144.366 | + | 104.888i | −0.350402 | + | 0.254582i | ||||
\(413\) | −16.5066 | − | 22.7194i | −0.0399675 | − | 0.0550105i | ||||
\(414\) | −86.6312 | + | 28.1482i | −0.209254 | + | 0.0679908i | ||||
\(415\) | −215.718 | − | 70.0911i | −0.519803 | − | 0.168894i | ||||
\(416\) | −292.984 | − | 212.865i | −0.704288 | − | 0.511695i | ||||
\(417\) | − | 582.459i | − | 1.39678i | ||||||
\(418\) | −357.076 | + | 183.730i | −0.854250 | + | 0.439546i | ||||
\(419\) | −245.156 | −0.585098 | −0.292549 | − | 0.956251i | \(-0.594503\pi\) | ||||
−0.292549 | + | 0.956251i | \(0.594503\pi\) | |||||||
\(420\) | −41.8034 | + | 57.5374i | −0.0995319 | + | 0.136994i | ||||
\(421\) | −23.9211 | + | 73.6215i | −0.0568196 | + | 0.174873i | −0.975439 | − | 0.220272i | \(-0.929306\pi\) |
0.918619 | + | 0.395145i | \(0.129306\pi\) | |||||||
\(422\) | −317.192 | − | 976.216i | −0.751640 | − | 2.31331i | ||||
\(423\) | −75.3262 | + | 54.7277i | −0.178076 | + | 0.129380i | ||||
\(424\) | 209.164 | + | 287.890i | 0.493312 | + | 0.678985i | ||||
\(425\) | 211.655 | − | 68.7709i | 0.498012 | − | 0.161814i | ||||
\(426\) | 659.959 | + | 214.434i | 1.54920 | + | 0.503366i | ||||
\(427\) | 20.4033 | + | 14.8238i | 0.0477828 | + | 0.0347162i | ||||
\(428\) | 29.5703i | 0.0690896i | ||||||||
\(429\) | 154.894 | + | 301.033i | 0.361057 | + | 0.701708i | ||||
\(430\) | −407.023 | −0.946566 | ||||||||
\(431\) | 264.193 | − | 363.631i | 0.612978 | − | 0.843692i | −0.383840 | − | 0.923399i | \(-0.625399\pi\) |
0.996818 | + | 0.0797077i | \(0.0253987\pi\) | |||||||
\(432\) | 43.6089 | − | 134.215i | 0.100947 | − | 0.310682i | ||||
\(433\) | 44.6093 | + | 137.293i | 0.103024 | + | 0.317075i | 0.989262 | − | 0.146156i | \(-0.0466901\pi\) |
−0.886238 | + | 0.463231i | \(0.846690\pi\) | |||||||
\(434\) | −74.0689 | + | 53.8142i | −0.170666 | + | 0.123996i | ||||
\(435\) | −29.4427 | − | 40.5244i | −0.0676844 | − | 0.0931596i | ||||
\(436\) | 713.002 | − | 231.668i | 1.63533 | − | 0.531349i | ||||
\(437\) | −81.6312 | − | 26.5236i | −0.186799 | − | 0.0606947i | ||||
\(438\) | 848.082 | + | 616.168i | 1.93626 | + | 1.40678i | ||||
\(439\) | 155.406i | 0.354001i | 0.984211 | + | 0.177000i | \(0.0566394\pi\) | ||||
−0.984211 | + | 0.177000i | \(0.943361\pi\) | |||||||
\(440\) | −196.774 | + | 31.9679i | −0.447214 | + | 0.0726543i | ||||
\(441\) | 197.120 | 0.446983 | ||||||||
\(442\) | −380.517 | + | 523.736i | −0.860897 | + | 1.18492i | ||||
\(443\) | 100.216 | − | 308.434i | 0.226222 | − | 0.696240i | −0.771943 | − | 0.635691i | \(-0.780715\pi\) |
0.998165 | − | 0.0605483i | \(-0.0192849\pi\) | |||||||
\(444\) | −246.246 | − | 757.868i | −0.554608 | − | 1.70691i | ||||
\(445\) | 201.597 | − | 146.469i | 0.453026 | − | 0.329143i | ||||
\(446\) | 206.180 | + | 283.783i | 0.462288 | + | 0.636285i | ||||
\(447\) | −884.574 | + | 287.416i | −1.97891 | + | 0.642988i | ||||
\(448\) | 84.7690 | + | 27.5431i | 0.189216 | + | 0.0614801i | ||||
\(449\) | 316.651 | + | 230.060i | 0.705236 | + | 0.512384i | 0.881633 | − | 0.471935i | \(-0.156444\pi\) |
−0.176397 | + | 0.984319i | \(0.556444\pi\) | |||||||
\(450\) | 113.294i | 0.251765i | ||||||||
\(451\) | 12.8319 | + | 6.47407i | 0.0284520 | + | 0.0143549i | ||||
\(452\) | 254.490 | 0.563032 | ||||||||
\(453\) | −612.877 | + | 843.553i | −1.35293 | + | 1.86215i | ||||
\(454\) | 37.1058 | − | 114.200i | 0.0817309 | − | 0.251542i | ||||
\(455\) | 9.44272 | + | 29.0617i | 0.0207532 | + | 0.0638719i | ||||
\(456\) | 157.307 | − | 114.291i | 0.344973 | − | 0.250637i | ||||
\(457\) | −30.7092 | − | 42.2675i | −0.0671973 | − | 0.0924891i | 0.774096 | − | 0.633069i | \(-0.218205\pi\) |
−0.841293 | + | 0.540580i | \(0.818205\pi\) | |||||||
\(458\) | 392.830 | − | 127.638i | 0.857707 | − | 0.278686i | ||||
\(459\) | −417.758 | − | 135.738i | −0.910149 | − | 0.295725i | ||||
\(460\) | −128.138 | − | 93.0975i | −0.278560 | − | 0.202386i | ||||
\(461\) | 339.293i | 0.735994i | 0.929827 | + | 0.367997i | \(0.119956\pi\) | ||||
−0.929827 | + | 0.367997i | \(0.880044\pi\) | |||||||
\(462\) | −78.0902 | − | 77.4721i | −0.169026 | − | 0.167689i | ||||
\(463\) | 676.869 | 1.46192 | 0.730960 | − | 0.682420i | \(-0.239072\pi\) | ||||
0.730960 | + | 0.682420i | \(0.239072\pi\) | |||||||
\(464\) | −16.1622 | + | 22.2453i | −0.0348322 | + | 0.0479425i | ||||
\(465\) | 148.138 | − | 455.921i | 0.318576 | − | 0.980476i | ||||
\(466\) | 254.256 | + | 782.519i | 0.545613 | + | 1.67923i | ||||
\(467\) | −298.435 | + | 216.825i | −0.639046 | + | 0.464294i | −0.859522 | − | 0.511098i | \(-0.829239\pi\) |
0.220476 | + | 0.975392i | \(0.429239\pi\) | |||||||
\(468\) | −111.910 | − | 154.031i | −0.239124 | − | 0.329125i | ||||
\(469\) | 65.3444 | − | 21.2317i | 0.139327 | − | 0.0452701i | ||||
\(470\) | −266.525 | − | 86.5991i | −0.567074 | − | 0.184253i | ||||
\(471\) | −809.681 | − | 588.267i | −1.71907 | − | 1.24898i | ||||
\(472\) | 141.679i | 0.300168i | ||||||||
\(473\) | 55.4656 | − | 359.433i | 0.117263 | − | 0.759900i | ||||
\(474\) | 733.951 | 1.54842 | ||||||||
\(475\) | −62.7492 | + | 86.3669i | −0.132104 | + | 0.181825i | ||||
\(476\) | 37.5511 | − | 115.570i | 0.0788888 | − | 0.242795i | ||||
\(477\) | −99.2705 | − | 305.523i | −0.208114 | − | 0.640510i | ||||
\(478\) | −274.241 | + | 199.248i | −0.573726 | + | 0.416836i | ||||
\(479\) | −279.454 | − | 384.635i | −0.583411 | − | 0.802997i | 0.410653 | − | 0.911792i | \(-0.365301\pi\) |
−0.994064 | + | 0.108795i | \(0.965301\pi\) | |||||||
\(480\) | −585.967 | + | 190.392i | −1.22077 | + | 0.396651i | ||||
\(481\) | −325.623 | − | 105.801i | −0.676971 | − | 0.219961i | ||||
\(482\) | −475.828 | − | 345.709i | −0.987195 | − | 0.717239i | ||||
\(483\) | − | 23.5114i | − | 0.0486779i | ||||||
\(484\) | −5.26142 | − | 662.108i | −0.0108707 | − | 1.36799i | ||||
\(485\) | 289.633 | 0.597182 | ||||||||
\(486\) | 372.373 | − | 512.528i | 0.766200 | − | 1.05458i | ||||
\(487\) | −55.3626 | + | 170.389i | −0.113681 | + | 0.349874i | −0.991670 | − | 0.128807i | \(-0.958885\pi\) |
0.877989 | + | 0.478681i | \(0.158885\pi\) | |||||||
\(488\) | −39.3181 | − | 121.009i | −0.0805699 | − | 0.247969i | ||||
\(489\) | 203.037 | − | 147.515i | 0.415208 | − | 0.301667i | ||||
\(490\) | 348.731 | + | 479.988i | 0.711697 | + | 0.979567i | ||||
\(491\) | 611.297 | − | 198.622i | 1.24500 | − | 0.404526i | 0.388876 | − | 0.921290i | \(-0.372863\pi\) |
0.856128 | + | 0.516764i | \(0.172863\pi\) | |||||||
\(492\) | −24.6024 | − | 7.99379i | −0.0500048 | − | 0.0162475i | ||||
\(493\) | 69.2411 | + | 50.3066i | 0.140448 | + | 0.102042i | ||||
\(494\) | − | 310.543i | − | 0.628631i | ||||||
\(495\) | 177.862 | + | 27.4467i | 0.359318 | + | 0.0554478i | ||||
\(496\) | −263.151 | −0.530546 | ||||||||
\(497\) | −32.8955 | + | 45.2768i | −0.0661881 | + | 0.0911001i | ||||
\(498\) | −195.119 | + | 600.515i | −0.391805 | + | 1.20585i | ||||
\(499\) | −162.446 | − | 499.958i | −0.325543 | − | 1.00192i | −0.971195 | − | 0.238287i | \(-0.923414\pi\) |
0.645651 | − | 0.763632i | \(-0.276586\pi\) | |||||||
\(500\) | −602.079 | + | 437.436i | −1.20416 | + | 0.874872i | ||||
\(501\) | 614.574 | + | 845.889i | 1.22670 | + | 1.68840i | ||||
\(502\) | −1250.24 | + | 406.229i | −2.49053 | + | 0.809222i | ||||
\(503\) | 609.941 | + | 198.182i | 1.21261 | + | 0.394000i | 0.844384 | − | 0.535738i | \(-0.179967\pi\) |
0.368222 | + | 0.929738i | \(0.379967\pi\) | |||||||
\(504\) | 13.4640 | + | 9.78217i | 0.0267143 | + | 0.0194091i | ||||
\(505\) | − | 257.515i | − | 0.509932i | ||||||
\(506\) | 172.533 | − | 173.909i | 0.340974 | − | 0.343694i | ||||
\(507\) | 349.644 | 0.689634 | ||||||||
\(508\) | 268.351 | − | 369.353i | 0.528249 | − | 0.727073i | ||||
\(509\) | −140.705 | + | 433.046i | −0.276434 | + | 0.850778i | 0.712402 | + | 0.701772i | \(0.247607\pi\) |
−0.988836 | + | 0.149006i | \(0.952393\pi\) | |||||||
\(510\) | 340.344 | + | 1047.47i | 0.667342 | + | 2.05387i | ||||
\(511\) | −68.3982 | + | 49.6942i | −0.133852 | + | 0.0972490i | ||||
\(512\) | 283.422 | + | 390.097i | 0.553559 | + | 0.761908i | ||||
\(513\) | 200.398 | − | 65.1131i | 0.390639 | − | 0.126926i | ||||
\(514\) | −82.7786 | − | 26.8964i | −0.161048 | − | 0.0523276i | ||||
\(515\) | 105.528 | + | 76.6705i | 0.204908 | + | 0.148875i | ||||
\(516\) | 654.583i | 1.26857i | ||||||||
\(517\) | 112.793 | − | 223.561i | 0.218169 | − | 0.432419i | ||||
\(518\) | 111.246 | 0.214761 | ||||||||
\(519\) | 389.615 | − | 536.259i | 0.750703 | − | 1.03325i | ||||
\(520\) | 47.6393 | − | 146.619i | 0.0916141 | − | 0.281959i | ||||
\(521\) | −56.0044 | − | 172.364i | −0.107494 | − | 0.330833i | 0.882814 | − | 0.469723i | \(-0.155646\pi\) |
−0.990308 | + | 0.138891i | \(0.955646\pi\) | |||||||
\(522\) | −35.2492 | + | 25.6101i | −0.0675272 | + | 0.0490614i | ||||
\(523\) | −201.474 | − | 277.305i | −0.385227 | − | 0.530219i | 0.571733 | − | 0.820440i | \(-0.306271\pi\) |
−0.956960 | + | 0.290220i | \(0.906271\pi\) | |||||||
\(524\) | −442.835 | + | 143.886i | −0.845106 | + | 0.274591i | ||||
\(525\) | −27.8115 | − | 9.03651i | −0.0529743 | − | 0.0172124i | ||||
\(526\) | 235.421 | + | 171.044i | 0.447569 | + | 0.325178i | ||||
\(527\) | 819.088i | 1.55425i | ||||||||
\(528\) | −50.7001 | − | 312.078i | −0.0960229 | − | 0.591056i | ||||
\(529\) | −476.639 | −0.901020 | ||||||||
\(530\) | 568.328 | − | 782.237i | 1.07232 | − | 1.47592i | ||||
\(531\) | 39.5238 | − | 121.642i | 0.0744328 | − | 0.229080i | ||||
\(532\) | 18.0132 | + | 55.4388i | 0.0338593 | + | 0.104208i | ||||
\(533\) | −8.99187 | + | 6.53298i | −0.0168703 | + | 0.0122570i | ||||
\(534\) | −407.738 | − | 561.203i | −0.763554 | − | 1.05094i | ||||
\(535\) | 20.5573 | − | 6.67947i | 0.0384248 | − | 0.0124850i | ||||
\(536\) | −329.668 | − | 107.116i | −0.615053 | − | 0.199843i | ||||
\(537\) | −6.00251 | − | 4.36108i | −0.0111779 | − | 0.00812119i | ||||
\(538\) | − | 720.159i | − | 1.33859i | ||||||
\(539\) | −471.388 | + | 242.548i | −0.874560 | + | 0.449996i | ||||
\(540\) | 388.827 | 0.720049 | ||||||||
\(541\) | 179.366 | − | 246.876i | 0.331545 | − | 0.456332i | −0.610403 | − | 0.792091i | \(-0.708993\pi\) |
0.941948 | + | 0.335759i | \(0.108993\pi\) | |||||||
\(542\) | −136.400 | + | 419.796i | −0.251661 | + | 0.774532i | ||||
\(543\) | −81.5066 | − | 250.851i | −0.150104 | − | 0.461973i | ||||
\(544\) | 851.671 | − | 618.775i | 1.56557 | − | 1.13745i | ||||
\(545\) | −322.111 | − | 443.348i | −0.591030 | − | 0.813483i | ||||
\(546\) | 80.9017 | − | 26.2866i | 0.148172 | − | 0.0481439i | ||||
\(547\) | 143.880 | + | 46.7494i | 0.263034 | + | 0.0854651i | 0.437565 | − | 0.899187i | \(-0.355841\pi\) |
−0.174531 | + | 0.984652i | \(0.555841\pi\) | |||||||
\(548\) | 260.057 | + | 188.942i | 0.474556 | + | 0.344785i | ||||
\(549\) | 114.863i | 0.209222i | ||||||||
\(550\) | −139.404 | − | 270.930i | −0.253462 | − | 0.492599i | ||||
\(551\) | −41.0557 | −0.0745113 | ||||||||
\(552\) | −69.7214 | + | 95.9632i | −0.126307 | + | 0.173846i | ||||
\(553\) | −18.2918 | + | 56.2964i | −0.0330774 | + | 0.101802i | ||||
\(554\) | 370.036 | + | 1138.85i | 0.667936 | + | 2.05569i | ||||
\(555\) | −471.246 | + | 342.380i | −0.849092 | + | 0.616902i | ||||
\(556\) | −517.807 | − | 712.701i | −0.931308 | − | 1.28184i | ||||
\(557\) | −103.677 | + | 33.6867i | −0.186134 | + | 0.0604787i | −0.400601 | − | 0.916253i | \(-0.631199\pi\) |
0.214467 | + | 0.976731i | \(0.431199\pi\) | |||||||
\(558\) | −396.572 | − | 128.854i | −0.710703 | − | 0.230921i | ||||
\(559\) | 227.533 | + | 165.312i | 0.407036 | + | 0.295729i | ||||
\(560\) | − | 28.5376i | − | 0.0509600i | ||||||
\(561\) | −971.378 | + | 157.810i | −1.73151 | + | 0.281301i | ||||
\(562\) | 310.949 | 0.553291 | ||||||||
\(563\) | −585.827 | + | 806.321i | −1.04054 | + | 1.43219i | −0.143817 | + | 0.989604i | \(0.545938\pi\) |
−0.896728 | + | 0.442583i | \(0.854062\pi\) | |||||||
\(564\) | −139.271 | + | 428.631i | −0.246934 | + | 0.759983i | ||||
\(565\) | −57.4853 | − | 176.922i | −0.101744 | − | 0.313135i | ||||
\(566\) | 5.27864 | − | 3.83516i | 0.00932622 | − | 0.00677590i | ||||
\(567\) | 53.3576 | + | 73.4404i | 0.0941051 | + | 0.129525i | ||||
\(568\) | 268.530 | − | 87.2506i | 0.472764 | − | 0.153610i | ||||
\(569\) | 94.4665 | + | 30.6940i | 0.166022 | + | 0.0539438i | 0.390849 | − | 0.920455i | \(-0.372182\pi\) |
−0.224827 | + | 0.974399i | \(0.572182\pi\) | |||||||
\(570\) | −427.426 | − | 310.543i | −0.749871 | − | 0.544813i | ||||
\(571\) | 930.127i | 1.62894i | 0.580202 | + | 0.814472i | \(0.302973\pi\) | ||||
−0.580202 | + | 0.814472i | \(0.697027\pi\) | |||||||
\(572\) | 457.148 | + | 230.645i | 0.799209 | + | 0.403226i | ||||
\(573\) | −375.564 | −0.655435 | ||||||||
\(574\) | 2.12269 | − | 2.92164i | 0.00369807 | − | 0.00508996i | ||||
\(575\) | 20.1246 | − | 61.9372i | 0.0349993 | − | 0.107717i | ||||
\(576\) | 125.444 | + | 386.078i | 0.217785 | + | 0.670274i | ||||
\(577\) | 281.012 | − | 204.167i | 0.487022 | − | 0.353842i | −0.317016 | − | 0.948420i | \(-0.602681\pi\) |
0.804038 | + | 0.594578i | \(0.202681\pi\) | |||||||
\(578\) | −583.313 | − | 802.862i | −1.00919 | − | 1.38903i | ||||
\(579\) | 1183.74 | − | 384.620i | 2.04445 | − | 0.664283i | ||||
\(580\) | −72.0526 | − | 23.4113i | −0.124229 | − | 0.0403643i | ||||
\(581\) | −41.1985 | − | 29.9325i | −0.0709097 | − | 0.0515189i | ||||
\(582\) | − | 806.278i | − | 1.38536i | ||||||
\(583\) | 613.328 | + | 608.474i | 1.05202 | + | 1.04369i | ||||
\(584\) | 426.536 | 0.730370 | ||||||||
\(585\) | −81.8034 | + | 112.593i | −0.139835 | + | 0.192466i | ||||
\(586\) | 447.100 | − | 1376.03i | 0.762970 | − | 2.34818i | ||||
\(587\) | −196.347 | − | 604.294i | −0.334492 | − | 1.02946i | −0.966972 | − | 0.254884i | \(-0.917963\pi\) |
0.632479 | − | 0.774577i | \(-0.282037\pi\) | |||||||
\(588\) | 771.926 | − | 560.837i | 1.31280 | − | 0.953804i | ||||
\(589\) | −230.949 | − | 317.874i | −0.392104 | − | 0.539685i | ||||
\(590\) | 366.122 | − | 118.960i | 0.620545 | − | 0.201627i | ||||
\(591\) | 340.902 | + | 110.766i | 0.576822 | + | 0.187421i | ||||
\(592\) | 258.684 | + | 187.945i | 0.436966 | + | 0.317474i | ||||
\(593\) | − | 341.152i | − | 0.575299i | −0.957736 | − | 0.287650i | \(-0.907126\pi\) | ||
0.957736 | − | 0.287650i | \(-0.0928739\pi\) | |||||||
\(594\) | −91.7173 | + | 594.354i | −0.154406 | + | 1.00060i | ||||
\(595\) | −88.8266 | −0.149288 | ||||||||
\(596\) | −826.858 | + | 1138.07i | −1.38735 | + | 1.90952i | ||||
\(597\) | −171.584 | + | 528.080i | −0.287410 | + | 0.884556i | ||||
\(598\) | 58.5410 | + | 180.171i | 0.0978947 | + | 0.301289i | ||||
\(599\) | 362.164 | − | 263.128i | 0.604614 | − | 0.439278i | −0.242899 | − | 0.970052i | \(-0.578098\pi\) |
0.847514 | + | 0.530773i | \(0.178098\pi\) | |||||||
\(600\) | 86.7173 | + | 119.356i | 0.144529 | + | 0.198927i | ||||
\(601\) | −762.584 | + | 247.779i | −1.26886 | + | 0.412277i | −0.864643 | − | 0.502387i | \(-0.832455\pi\) |
−0.404215 | + | 0.914664i | \(0.632455\pi\) | |||||||
\(602\) | −86.9098 | − | 28.2387i | −0.144368 | − | 0.0469082i | ||||
\(603\) | 253.162 | + | 183.933i | 0.419837 | + | 0.305029i | ||||
\(604\) | 1577.03i | 2.61097i | ||||||||
\(605\) | −459.108 | + | 153.217i | −0.758857 | + | 0.253252i | ||||
\(606\) | −716.869 | −1.18295 | ||||||||
\(607\) | 599.237 | − | 824.779i | 0.987211 | − | 1.35878i | 0.0543575 | − | 0.998522i | \(-0.482689\pi\) |
0.932853 | − | 0.360257i | \(-0.117311\pi\) | |||||||
\(608\) | −156.050 | + | 480.273i | −0.256661 | + | 0.789922i | ||||
\(609\) | −3.47524 | − | 10.6957i | −0.00570647 | − | 0.0175627i | ||||
\(610\) | −279.692 | + | 203.208i | −0.458511 | + | 0.333128i | ||||
\(611\) | 113.820 | + | 156.659i | 0.186284 | + | 0.256398i | ||||
\(612\) | 526.362 | − | 171.025i | 0.860068 | − | 0.279453i | ||||
\(613\) | −711.597 | − | 231.212i | −1.16084 | − | 0.377181i | −0.335626 | − | 0.941995i | \(-0.608948\pi\) |
−0.825218 | + | 0.564814i | \(0.808948\pi\) | |||||||
\(614\) | 247.542 | + | 179.850i | 0.403163 | + | 0.292915i | ||||
\(615\) | 18.9092i | 0.0307467i | ||||||||
\(616\) | −44.2341 | − | 6.82596i | −0.0718087 | − | 0.0110811i | ||||
\(617\) | 517.100 | 0.838088 | 0.419044 | − | 0.907966i | \(-0.362365\pi\) | ||||
0.419044 | + | 0.907966i | \(0.362365\pi\) | |||||||
\(618\) | 213.435 | − | 293.768i | 0.345363 | − | 0.475352i | ||||
\(619\) | −214.219 | + | 659.299i | −0.346073 | + | 1.06510i | 0.614934 | + | 0.788579i | \(0.289183\pi\) |
−0.961007 | + | 0.276525i | \(0.910817\pi\) | |||||||
\(620\) | −224.053 | − | 689.563i | −0.361375 | − | 1.11220i | ||||
\(621\) | −103.992 | + | 75.5545i | −0.167459 | + | 0.121666i | ||||
\(622\) | 613.643 | + | 844.607i | 0.986565 | + | 1.35789i | ||||
\(623\) | 53.2078 | − | 17.2883i | 0.0854058 | − | 0.0277500i | ||||
\(624\) | 232.533 | + | 75.5545i | 0.372649 | + | 0.121081i | ||||
\(625\) | 258.076 | + | 187.503i | 0.412922 | + | 0.300006i | ||||
\(626\) | − | 1189.18i | − | 1.89965i | ||||||
\(627\) | 332.480 | − | 335.132i | 0.530271 | − | 0.534501i | ||||
\(628\) | −1513.70 | −2.41035 | ||||||||
\(629\) | 585.000 | − | 805.183i | 0.930048 | − | 1.28010i | ||||
\(630\) | 13.9737 | − | 43.0066i | 0.0221805 | − | 0.0682644i | ||||
\(631\) | −277.128 | − | 852.911i | −0.439188 | − | 1.35168i | −0.888733 | − | 0.458425i | \(-0.848414\pi\) |
0.449545 | − | 0.893258i | \(-0.351586\pi\) | |||||||
\(632\) | 241.602 | − | 175.534i | 0.382281 | − | 0.277744i | ||||
\(633\) | 709.263 | + | 976.216i | 1.12048 | + | 1.54221i | ||||
\(634\) | −740.755 | + | 240.686i | −1.16838 | + | 0.379631i | ||||
\(635\) | −317.390 | − | 103.126i | −0.499827 | − | 0.162404i | ||||
\(636\) | −1258.01 | − | 913.997i | −1.97800 | − | 1.43710i | ||||
\(637\) | − | 409.958i | − | 0.643577i | ||||||
\(638\) | 52.7821 | − | 104.616i | 0.0827306 | − | 0.163975i | ||||
\(639\) | −254.892 | −0.398891 | ||||||||
\(640\) | −317.793 | + | 437.405i | −0.496552 | + | 0.683445i | ||||
\(641\) | 175.756 | − | 540.922i | 0.274191 | − | 0.843872i | −0.715242 | − | 0.698877i | \(-0.753683\pi\) |
0.989432 | − | 0.144995i | \(-0.0463165\pi\) | |||||||
\(642\) | −18.5942 | − | 57.2272i | −0.0289630 | − | 0.0891389i | ||||
\(643\) | −534.364 | + | 388.238i | −0.831048 | + | 0.603791i | −0.919855 | − | 0.392257i | \(-0.871694\pi\) |
0.0888080 | + | 0.996049i | \(0.471694\pi\) | |||||||
\(644\) | −20.9017 | − | 28.7687i | −0.0324561 | − | 0.0446719i | ||||
\(645\) | 455.066 | − | 147.860i | 0.705528 | − | 0.229240i | ||||
\(646\) | 858.533 | + | 278.954i | 1.32900 | + | 0.431818i | ||||
\(647\) | −28.5999 | − | 20.7790i | −0.0442038 | − | 0.0321159i | 0.565464 | − | 0.824773i | \(-0.308697\pi\) |
−0.609668 | + | 0.792657i | \(0.708697\pi\) | |||||||
\(648\) | − | 457.979i | − | 0.706758i | ||||||
\(649\) | 55.1591 | + | 339.524i | 0.0849908 | + | 0.523150i | ||||
\(650\) | 235.623 | 0.362497 | ||||||||
\(651\) | 63.2624 | − | 87.0732i | 0.0971772 | − | 0.133753i | ||||
\(652\) | 117.296 | − | 361.001i | 0.179902 | − | 0.553682i | ||||
\(653\) | 129.615 | + | 398.914i | 0.198491 | + | 0.610894i | 0.999918 | + | 0.0128008i | \(0.00407473\pi\) |
−0.801427 | + | 0.598093i | \(0.795925\pi\) | |||||||
\(654\) | −1234.19 | + | 896.691i | −1.88714 | + | 1.37109i | ||||
\(655\) | 200.059 | + | 275.357i | 0.305433 | + | 0.420393i | ||||
\(656\) | 9.87192 | − | 3.20758i | 0.0150487 | − | 0.00488960i | ||||
\(657\) | −366.211 | − | 118.989i | −0.557399 | − | 0.181110i | ||||
\(658\) | −50.9017 | − | 36.9822i | −0.0773582 | − | 0.0562040i | ||||
\(659\) | − | 1281.39i | − | 1.94445i | −0.234058 | − | 0.972223i | \(-0.575200\pi\) | ||
0.234058 | − | 0.972223i | \(-0.424800\pi\) | |||||||
\(660\) | 774.604 | − | 398.565i | 1.17364 | − | 0.603886i | ||||
\(661\) | 70.6950 | 0.106952 | 0.0534758 | − | 0.998569i | \(-0.482970\pi\) | ||||
0.0534758 | + | 0.998569i | \(0.482970\pi\) | |||||||
\(662\) | −673.165 | + | 926.532i | −1.01687 | + | 1.39960i | ||||
\(663\) | 235.172 | − | 723.786i | 0.354709 | − | 1.09168i | ||||
\(664\) | 79.3916 | + | 244.342i | 0.119566 | + | 0.367986i | ||||
\(665\) | 34.4721 | − | 25.0455i | 0.0518378 | − | 0.0376624i | ||||
\(666\) | 297.812 | + | 409.902i | 0.447164 | + | 0.615469i | ||||
\(667\) | 23.8197 | − | 7.73948i | 0.0357116 | − | 0.0116034i | ||||
\(668\) | 1503.99 | + | 488.677i | 2.25149 | + | 0.731553i | ||||
\(669\) | −333.607 | − | 242.380i | −0.498665 | − | 0.362301i | ||||
\(670\) | 941.852i | 1.40575i | ||||||||
\(671\) | −141.334 | − | 274.681i | −0.210632 | − | 0.409360i | ||||
\(672\) | −138.328 | −0.205845 | ||||||||
\(673\) | −470.230 | + | 647.216i | −0.698708 | + | 0.961689i | 0.301259 | + | 0.953542i | \(0.402593\pi\) |
−0.999967 | + | 0.00814624i | \(0.997407\pi\) | |||||||
\(674\) | 78.1910 | − | 240.647i | 0.116010 | − | 0.357043i | ||||
\(675\) | 49.4042 | + | 152.051i | 0.0731914 | + | 0.225260i | ||||
\(676\) | 427.827 | − | 310.835i | 0.632880 | − | 0.459815i | ||||
\(677\) | 550.202 | + | 757.288i | 0.812706 | + | 1.11859i | 0.990900 | + | 0.134598i | \(0.0429743\pi\) |
−0.178195 | + | 0.983995i | \(0.557026\pi\) | |||||||
\(678\) | −492.513 | + | 160.027i | −0.726420 | + | 0.236028i | ||||
\(679\) | 61.8441 | + | 20.0944i | 0.0910811 | + | 0.0295940i | ||||
\(680\) | 362.551 | + | 263.409i | 0.533163 | + | 0.387366i | ||||
\(681\) | 141.159i | 0.207282i | ||||||||
\(682\) | 1106.91 | − | 179.828i | 1.62303 | − | 0.263677i | ||||
\(683\) | −241.319 | −0.353322 | −0.176661 | − | 0.984272i | \(-0.556530\pi\) | ||||
−0.176661 | + | 0.984272i | \(0.556530\pi\) | |||||||
\(684\) | −156.050 | + | 214.785i | −0.228143 | + | 0.314013i | ||||
\(685\) | 72.6099 | − | 223.470i | 0.106000 | − | 0.326234i | ||||
\(686\) | 83.0132 | + | 255.488i | 0.121010 | + | 0.372432i | ||||
\(687\) | −392.830 | + | 285.407i | −0.571805 | + | 0.415440i | ||||
\(688\) | −154.386 | − | 212.494i | −0.224398 | − | 0.308858i | ||||
\(689\) | −635.410 | + | 206.457i | −0.922221 | + | 0.299648i | ||||
\(690\) | 306.525 | + | 99.5959i | 0.444239 | + | 0.144342i | ||||
\(691\) | 736.915 | + | 535.400i | 1.06645 | + | 0.774819i | 0.975270 | − | 0.221015i | \(-0.0709371\pi\) |
0.0911771 | + | 0.995835i | \(0.470937\pi\) | |||||||
\(692\) | − | 1002.54i | − | 1.44876i | ||||||
\(693\) | 36.0739 | + | 18.2004i | 0.0520547 | + | 0.0262632i | ||||
\(694\) | 706.140 | 1.01749 | ||||||||
\(695\) | −378.505 | + | 520.967i | −0.544611 | + | 0.749593i | ||||
\(696\) | −17.5329 | + | 53.9607i | −0.0251909 | + | 0.0775297i | ||||
\(697\) | −9.98397 | − | 30.7275i | −0.0143242 | − | 0.0440853i | ||||
\(698\) | −578.577 | + | 420.361i | −0.828907 | + | 0.602236i | ||||
\(699\) | −568.533 | − | 782.519i | −0.813352 | − | 1.11948i | ||||
\(700\) | −42.0639 | + | 13.6674i | −0.0600912 | + | 0.0195248i | ||||
\(701\) | −410.902 | − | 133.510i | −0.586165 | − | 0.190457i | 0.000895496 | − | 1.00000i | \(-0.499715\pi\) |
−0.587061 | + | 0.809543i | \(0.699715\pi\) | |||||||
\(702\) | −376.246 | − | 273.359i | −0.535963 | − | 0.389400i | ||||
\(703\) | 477.424i | 0.679124i | ||||||||
\(704\) | −775.039 | − | 768.905i | −1.10091 | − | 1.09219i | ||||
\(705\) | 329.443 | 0.467295 | ||||||||
\(706\) | −62.6722 | + | 86.2609i | −0.0887708 | + | 0.122183i | ||||
\(707\) | 17.8661 | − | 54.9861i | 0.0252703 | − | 0.0777739i | ||||
\(708\) | −191.314 | − | 588.804i | −0.270218 | − | 0.831644i | ||||
\(709\) | 708.956 | − | 515.087i | 0.999938 | − | 0.726498i | 0.0378633 | − | 0.999283i | \(-0.487945\pi\) |
0.962075 | + | 0.272785i | \(0.0879448\pi\) | |||||||
\(710\) | −450.938 | − | 620.663i | −0.635124 | − | 0.874173i | ||||
\(711\) | −256.400 | + | 83.3095i | −0.360619 | + | 0.117172i | ||||
\(712\) | −268.438 | − | 87.2208i | −0.377020 | − | 0.122501i | ||||
\(713\) | 193.915 | + | 140.887i | 0.271970 | + | 0.197598i | ||||
\(714\) | 247.275i | 0.346323i | ||||||||
\(715\) | 57.0820 | − | 369.908i | 0.0798350 | − | 0.517354i | ||||
\(716\) | −11.2217 | −0.0156728 | ||||||||
\(717\) | 234.230 | − | 322.390i | 0.326680 | − | 0.449637i | ||||
\(718\) | 429.681 | − | 1322.42i | 0.598441 | − | 1.84181i | ||||
\(719\) | 155.218 | + | 477.712i | 0.215880 | + | 0.664411i | 0.999090 | + | 0.0426534i | \(0.0135811\pi\) |
−0.783210 | + | 0.621758i | \(0.786419\pi\) | |||||||
\(720\) | 105.151 | − | 76.3966i | 0.146043 | − | 0.106106i | ||||
\(721\) | 17.2136 | + | 23.6925i | 0.0238746 | + | 0.0328606i | ||||
\(722\) | 644.829 | − | 209.518i | 0.893115 | − | 0.290191i | ||||
\(723\) | 657.578 | + | 213.660i | 0.909514 | + | 0.295519i | ||||
\(724\) | −322.740 | − | 234.484i | −0.445773 | − | 0.323873i | ||||
\(725\) | − | 31.1508i | − | 0.0429666i | ||||||
\(726\) | 426.525 | + | 1278.06i | 0.587500 | + | 1.76042i | ||||
\(727\) | −393.878 | −0.541786 | −0.270893 | − | 0.962609i | \(-0.587319\pi\) | ||||
−0.270893 | + | 0.962609i | \(0.587319\pi\) | |||||||
\(728\) | 20.3444 | − | 28.0017i | 0.0279456 | − | 0.0384639i | ||||
\(729\) | 50.9853 | − | 156.917i | 0.0699387 | − | 0.215249i | ||||
\(730\) | −358.138 | − | 1102.23i | −0.490600 | − | 1.50991i | ||||
\(731\) | −661.413 | + | 480.544i | −0.904805 | + | 0.657380i | ||||
\(732\) | 326.803 | + | 449.806i | 0.446453 | + | 0.614489i | ||||
\(733\) | −590.381 | + | 191.826i | −0.805431 | + | 0.261700i | −0.682661 | − | 0.730735i | \(-0.739178\pi\) |
−0.122769 | + | 0.992435i | \(0.539178\pi\) | |||||||
\(734\) | −1079.57 | − | 350.775i | −1.47081 | − | 0.477895i | ||||
\(735\) | −564.259 | − | 409.958i | −0.767700 | − | 0.557766i | ||||
\(736\) | − | 308.061i | − | 0.418562i | ||||||
\(737\) | −831.728 | − | 128.347i | −1.12853 | − | 0.174148i | ||||
\(738\) | 16.4477 | 0.0222869 | ||||||||
\(739\) | −499.618 | + | 687.666i | −0.676074 | + | 0.930535i | −0.999878 | − | 0.0155884i | \(-0.995038\pi\) |
0.323805 | + | 0.946124i | \(0.395038\pi\) | |||||||
\(740\) | −272.243 | + | 837.878i | −0.367896 | + | 1.13227i | ||||
\(741\) | 112.812 | + | 347.198i | 0.152242 | + | 0.468554i | ||||
\(742\) | 175.623 | − | 127.598i | 0.236689 | − | 0.171964i | ||||
\(743\) | 238.416 | + | 328.152i | 0.320883 | + | 0.441658i | 0.938737 | − | 0.344635i | \(-0.111997\pi\) |
−0.617853 | + | 0.786293i | \(0.711997\pi\) | |||||||
\(744\) | −516.418 | + | 167.794i | −0.694111 | + | 0.225530i | ||||
\(745\) | 977.961 | + | 317.759i | 1.31270 | + | 0.426522i | ||||
\(746\) | 1476.92 | + | 1073.05i | 1.97979 | + | 1.43840i | ||||
\(747\) | − | 231.933i | − | 0.310486i | ||||||
\(748\) | −1048.29 | + | 1056.65i | −1.40146 | + | 1.41264i | ||||
\(749\) | 4.85292 | 0.00647919 | ||||||||
\(750\) | 890.132 | − | 1225.16i | 1.18684 | − | 1.63355i | ||||
\(751\) | −262.486 | + | 807.849i | −0.349515 | + | 1.07570i | 0.609606 | + | 0.792704i | \(0.291327\pi\) |
−0.959122 | + | 0.282993i | \(0.908673\pi\) | |||||||
\(752\) | −55.8835 | − | 171.992i | −0.0743132 | − | 0.228712i | ||||
\(753\) | 1250.24 | − | 908.356i | 1.66035 | − | 1.20632i | ||||
\(754\) | 53.2624 | + | 73.3094i | 0.0706398 | + | 0.0972273i | ||||
\(755\) | 1096.35 | − | 356.225i | 1.45212 | − | 0.471821i | ||||
\(756\) | 83.0244 | + | 26.9763i | 0.109821 | + | 0.0356829i | ||||
\(757\) | −485.832 | − | 352.977i | −0.641786 | − | 0.466284i | 0.218678 | − | 0.975797i | \(-0.429826\pi\) |
−0.860463 | + | 0.509513i | \(0.829826\pi\) | |||||||
\(758\) | 865.602i | 1.14196i | ||||||||
\(759\) | −129.721 | + | 257.113i | −0.170911 | + | 0.338752i | ||||
\(760\) | −214.971 | −0.282856 | ||||||||
\(761\) | 205.275 | − | 282.537i | 0.269744 | − | 0.371271i | −0.652559 | − | 0.757738i | \(-0.726305\pi\) |
0.922303 | + | 0.386467i | \(0.126305\pi\) | |||||||
\(762\) | −287.082 | + | 883.548i | −0.376748 | + | 1.15951i | ||||
\(763\) | −38.0201 | − | 117.014i | −0.0498298 | − | 0.153360i | ||||
\(764\) | −459.543 | + | 333.877i | −0.601496 | + | 0.437012i | ||||
\(765\) | −237.793 | − | 327.294i | −0.310841 | − | 0.427836i | ||||
\(766\) | 1866.16 | − | 606.354i | 2.43625 | − | 0.791584i | ||||
\(767\) | −252.984 | − | 82.1994i | −0.329835 | − | 0.107170i | ||||
\(768\) | 55.6140 | + | 40.4059i | 0.0724140 | + | 0.0526119i | ||||
\(769\) | 768.616i | 0.999500i | 0.866170 | + | 0.499750i | \(0.166575\pi\) | ||||
−0.866170 | + | 0.499750i | \(0.833425\pi\) | |||||||
\(770\) | 19.5016 | + | 120.039i | 0.0253267 | + | 0.155895i | ||||
\(771\) | 102.320 | 0.132711 | ||||||||
\(772\) | 1106.50 | − | 1522.97i | 1.43329 | − | 1.97276i | ||||
\(773\) | 2.15905 | − | 6.64488i | 0.00279308 | − | 0.00859623i | −0.949650 | − | 0.313312i | \(-0.898561\pi\) |
0.952443 | + | 0.304716i | \(0.0985615\pi\) | |||||||
\(774\) | −128.612 | − | 395.828i | −0.166166 | − | 0.511406i | ||||
\(775\) | 241.185 | − | 175.231i | 0.311207 | − | 0.226105i | ||||
\(776\) | −192.832 | − | 265.410i | −0.248495 | − | 0.342024i | ||||
\(777\) | −124.377 | + | 40.4125i | −0.160073 | + | 0.0520110i | ||||
\(778\) | −1953.72 | − | 634.801i | −2.51120 | − | 0.815939i | ||||
\(779\) | 12.5385 | + | 9.10976i | 0.0160956 | + | 0.0116942i | ||||
\(780\) | 673.660i | 0.863667i | ||||||||
\(781\) | 609.543 | − | 313.634i | 0.780465 | − | 0.401581i | ||||
\(782\) | −550.689 | −0.704206 | ||||||||
\(783\) | −36.1397 | + | 49.7420i | −0.0461554 | + | 0.0635275i | ||||
\(784\) | −118.311 | + | 364.124i | −0.150907 | + | 0.464443i | ||||
\(785\) | 341.921 | + | 1052.32i | 0.435568 | + | 1.34054i | ||||
\(786\) | 766.537 | − | 556.922i | 0.975238 | − | 0.708552i | ||||
\(787\) | −648.159 | − | 892.115i | −0.823582 | − | 1.13356i | −0.989084 | − | 0.147354i | \(-0.952924\pi\) |
0.165501 | − | 0.986210i | \(-0.447076\pi\) | |||||||
\(788\) | 515.601 | − | 167.529i | 0.654315 | − | 0.212600i | ||||
\(789\) | −325.344 | − | 105.711i | −0.412350 | − | 0.133981i | ||||
\(790\) | −656.466 | − | 476.950i | −0.830970 | − | 0.603735i | ||||
\(791\) | − | 41.7655i | − | 0.0528009i | ||||||
\(792\) | −93.2659 | − | 181.261i | −0.117760 | − | 0.228864i | ||||
\(793\) | 238.885 | 0.301243 | ||||||||
\(794\) | 9.72136 | − | 13.3803i | 0.0122435 | − | 0.0168518i | ||||
\(795\) | −351.246 | + | 1081.02i | −0.441819 | + | 1.35978i | ||||
\(796\) | 259.514 | + | 798.700i | 0.326022 | + | 1.00339i | ||||
\(797\) | 583.596 | − | 424.007i | 0.732240 | − | 0.532004i | −0.158031 | − | 0.987434i | \(-0.550515\pi\) |
0.890271 | + | 0.455430i | \(0.150515\pi\) | |||||||
\(798\) | −69.7214 | − | 95.9632i | −0.0873701 | − | 0.120255i | ||||
\(799\) | −535.344 | + | 173.944i | −0.670018 | + | 0.217702i | ||||
\(800\) | −364.404 | − | 118.402i | −0.455505 | − | 0.148003i | ||||
\(801\) | 206.141 | + | 149.770i | 0.257355 | + | 0.186979i | ||||
\(802\) | 870.354i | 1.08523i | ||||||||
\(803\) | 1022.16 | − | 166.060i | 1.27293 | − | 0.206800i | ||||
\(804\) | 1514.71 | 1.88396 | ||||||||
\(805\) | −15.2786 | + | 21.0292i | −0.0189797 | + | 0.0261233i | ||||
\(806\) | −267.984 | + | 824.769i | −0.332486 | + | 1.02329i | ||||
\(807\) | 261.613 | + | 805.162i | 0.324180 | + | 0.997722i | ||||
\(808\) | −235.979 | + | 171.449i | −0.292053 | + | 0.212189i | ||||
\(809\) | −471.682 | − | 649.215i | −0.583044 | − | 0.802491i | 0.410981 | − | 0.911644i | \(-0.365186\pi\) |
−0.994025 | + | 0.109153i | \(0.965186\pi\) | |||||||
\(810\) | −1183.49 | + | 384.539i | −1.46110 | + | 0.474739i | ||||
\(811\) | −471.598 | − | 153.232i | −0.581502 | − | 0.188942i | 0.00347122 | − | 0.999994i | \(-0.498895\pi\) |
−0.584973 | + | 0.811052i | \(0.698895\pi\) | |||||||
\(812\) | −13.7608 | − | 9.99783i | −0.0169468 | − | 0.0123126i | ||||
\(813\) | − | 518.897i | − | 0.638250i | ||||||
\(814\) | −1216.55 | − | 613.787i | −1.49453 | − | 0.754038i | ||||
\(815\) | −277.463 | −0.340445 | ||||||||
\(816\) | −417.758 | + | 574.995i | −0.511959 | + | 0.704651i | ||||
\(817\) | 121.189 | − | 372.983i | 0.148335 | − | 0.456527i | ||||
\(818\) | −29.5379 | − | 90.9084i | −0.0361099 | − | 0.111135i | ||||
\(819\) | −25.2786 | + | 18.3660i | −0.0308653 | + | 0.0224249i | ||||
\(820\) | 16.8103 | + | 23.1375i | 0.0205004 | + | 0.0282164i | ||||
\(821\) | −276.921 | + | 89.9771i | −0.337297 | + | 0.109595i | −0.472768 | − | 0.881187i | \(-0.656745\pi\) |
0.135471 | + | 0.990781i | \(0.456745\pi\) | |||||||
\(822\) | −622.095 | − | 202.131i | −0.756806 | − | 0.245901i | ||||
\(823\) | −869.681 | − | 631.860i | −1.05672 | − | 0.767752i | −0.0832414 | − | 0.996529i | \(-0.526527\pi\) |
−0.973479 | + | 0.228777i | \(0.926527\pi\) | |||||||
\(824\) | − | 147.748i | − | 0.179306i | ||||||
\(825\) | 254.280 | + | 252.267i | 0.308218 | + | 0.305778i | ||||
\(826\) | 86.4296 | 0.104636 | ||||||||
\(827\) | −268.497 | + | 369.554i | −0.324664 | + | 0.446861i | −0.939884 | − | 0.341494i | \(-0.889067\pi\) |
0.615220 | + | 0.788355i | \(0.289067\pi\) | |||||||
\(828\) | 50.0476 | − | 154.031i | 0.0604440 | − | 0.186027i | ||||
\(829\) | 0.679973 | + | 2.09274i | 0.000820233 | + | 0.00252442i | 0.951466 | − | 0.307755i | \(-0.0995776\pi\) |
−0.950646 | + | 0.310279i | \(0.899578\pi\) | |||||||
\(830\) | 564.758 | − | 410.321i | 0.680431 | − | 0.494362i | ||||
\(831\) | −827.426 | − | 1138.85i | −0.995700 | − | 1.37046i | ||||
\(832\) | 802.943 | − | 260.892i | 0.965076 | − | 0.313572i | ||||
\(833\) | 1133.38 | + | 368.257i | 1.36060 | + | 0.442085i | ||||
\(834\) | 1450.26 | + | 1053.68i | 1.73892 | + | 1.26340i | ||||
\(835\) | − | 1155.96i | − | 1.38438i | ||||||
\(836\) | 108.891 | − | 705.645i | 0.130252 | − | 0.844073i | ||||
\(837\) | −588.423 | −0.703015 | ||||||||
\(838\) | 443.491 | − | 610.413i | 0.529226 | − | 0.728417i | ||||
\(839\) | 448.822 | − | 1381.33i | 0.534948 | − | 1.64640i | −0.208813 | − | 0.977956i | \(-0.566960\pi\) |
0.743761 | − | 0.668446i | \(-0.233040\pi\) | |||||||
\(840\) | −18.1966 | − | 56.0034i | −0.0216626 | − | 0.0666707i | ||||
\(841\) | −670.691 | + | 487.286i | −0.797493 | + | 0.579412i | ||||
\(842\) | −140.036 | − | 192.744i | −0.166314 | − | 0.228912i | ||||
\(843\) | −347.652 | + | 112.959i | −0.412398 | + | 0.133996i | ||||
\(844\) | 1735.72 | + | 563.969i | 2.05654 | + | 0.668209i | ||||
\(845\) | −312.731 | − | 227.213i | −0.370096 | − | 0.268891i | ||||
\(846\) | − | 286.558i | − | 0.338721i | ||||||
\(847\) | −108.661 | + | 0.863474i | −0.128290 | + | 0.00101945i | ||||
\(848\) | 623.951 | 0.735792 | ||||||||
\(849\) | −4.50850 | + | 6.20541i | −0.00531036 | + | 0.00730909i | ||||
\(850\) | −211.655 | + | 651.407i | −0.249006 | + | 0.766361i | ||||
\(851\) | −90.0000 | − | 276.992i | −0.105758 | − | 0.325489i | ||||
\(852\) | −998.163 | + | 725.208i | −1.17155 | + | 0.851183i | ||||
\(853\) | 622.757 | + | 857.151i | 0.730079 | + | 1.00487i | 0.999128 | + | 0.0417407i | \(0.0132903\pi\) |
−0.269050 | + | 0.963126i | \(0.586710\pi\) | |||||||
\(854\) | −73.8197 | + | 23.9855i | −0.0864399 | + | 0.0280860i | ||||
\(855\) | 184.567 | + | 59.9696i | 0.215868 | + | 0.0701398i | ||||
\(856\) | −19.8075 | − | 14.3910i | −0.0231396 | − | 0.0168119i | ||||
\(857\) | 951.067i | 1.10976i | 0.831929 | + | 0.554882i | \(0.187237\pi\) | ||||
−0.831929 | + | 0.554882i | \(0.812763\pi\) | |||||||
\(858\) | −1029.75 | − | 158.904i | −1.20017 | − | 0.185203i | ||||
\(859\) | 1146.23 | 1.33438 | 0.667188 | − | 0.744890i | \(-0.267498\pi\) | ||||
0.667188 | + | 0.744890i | \(0.267498\pi\) | |||||||
\(860\) | 425.374 | − | 585.477i | 0.494621 | − | 0.680787i | ||||
\(861\) | −1.31190 | + | 4.03760i | −0.00152369 | + | 0.00468943i | ||||
\(862\) | 427.474 | + | 1315.63i | 0.495910 | + | 1.52625i | ||||
\(863\) | −764.758 | + | 555.629i | −0.886162 | + | 0.643834i | −0.934874 | − | 0.354979i | \(-0.884488\pi\) |
0.0487126 | + | 0.998813i | \(0.484488\pi\) | |||||||
\(864\) | 444.521 | + | 611.831i | 0.514492 | + | 0.708137i | ||||
\(865\) | −696.964 | + | 226.457i | −0.805739 | + | 0.261801i | ||||
\(866\) | −422.545 | − | 137.293i | −0.487928 | − | 0.158537i | ||||
\(867\) | 943.821 | + | 685.726i | 1.08861 | + | 0.790918i | ||||
\(868\) | − | 162.784i | − | 0.187539i | ||||||
\(869\) | 510.641 | − | 514.715i | 0.587619 | − | 0.592307i | ||||
\(870\) | 154.164 | 0.177200 | ||||||||
\(871\) | 382.533 | − | 526.511i | 0.439188 | − | 0.604491i | ||||
\(872\) | −191.815 | + | 590.345i | −0.219971 | + | 0.677001i | ||||
\(873\) | 91.5191 | + | 281.667i | 0.104833 | + | 0.322643i | ||||
\(874\) | 213.713 | − | 155.272i | 0.244523 | − | 0.177656i | ||||
\(875\) | 71.7895 | + | 98.8098i | 0.0820452 | + | 0.112925i | ||||
\(876\) | −1772.64 | + | 575.964i | −2.02356 | + | 0.657494i | ||||
\(877\) | 150.931 | + | 49.0405i | 0.172099 | + | 0.0559185i | 0.393799 | − | 0.919196i | \(-0.371161\pi\) |
−0.221700 | + | 0.975115i | \(0.571161\pi\) | |||||||
\(878\) | −386.946 | − | 281.133i | −0.440713 | − | 0.320197i | ||||
\(879\) | 1700.87i | 1.93501i | ||||||||
\(880\) | −157.453 | + | 312.078i | −0.178924 | + | 0.354634i | ||||
\(881\) | 402.370 | 0.456719 | 0.228360 | − | 0.973577i | \(-0.426664\pi\) | ||||
0.228360 | + | 0.973577i | \(0.426664\pi\) | |||||||
\(882\) | −356.593 | + | 490.808i | −0.404300 | + | 0.556471i | ||||
\(883\) | 244.512 | − | 752.530i | 0.276910 | − | 0.852243i | −0.711797 | − | 0.702385i | \(-0.752118\pi\) |
0.988708 | − | 0.149858i | \(-0.0478816\pi\) | |||||||
\(884\) | −355.689 | − | 1094.70i | −0.402363 | − | 1.23835i | ||||
\(885\) | −366.122 | + | 266.003i | −0.413697 | + | 0.300568i | ||||
\(886\) | 586.677 | + | 807.491i | 0.662163 | + | 0.911390i | ||||
\(887\) | 805.659 | − | 261.775i | 0.908297 | − | 0.295124i | 0.182640 | − | 0.983180i | \(-0.441536\pi\) |
0.725657 | + | 0.688056i | \(0.241536\pi\) | |||||||
\(888\) | 627.492 | + | 203.885i | 0.706635 | + | 0.229600i | ||||
\(889\) | −60.6161 | − | 44.0402i | −0.0681846 | − | 0.0495390i | ||||
\(890\) | 766.920i | 0.861707i | ||||||||
\(891\) | −178.302 | − | 1097.51i | −0.200114 | − | 1.23178i | ||||
\(892\) | −623.680 | −0.699192 | ||||||||
\(893\) | 158.713 | − | 218.450i | 0.177730 | − | 0.244625i | ||||
\(894\) | 884.574 | − | 2722.44i | 0.989457 | − | 3.04523i | ||||
\(895\) | 2.53481 | + | 7.80134i | 0.00283219 | + | 0.00871658i | ||||
\(896\) | −98.2035 | + | 71.3491i | −0.109602 | + | 0.0796306i | ||||
\(897\) | −130.902 | − | 180.171i | −0.145933 | − | 0.200859i | ||||
\(898\) | −1145.65 | + | 372.245i | −1.27578 | + | 0.414527i | ||||
\(899\) | 109.039 | + | 35.4291i | 0.121290 | + | 0.0394094i | ||||
\(900\) | −162.967 | − | 118.402i | −0.181074 | − | 0.131558i | ||||
\(901\) | − | 1942.12i | − | 2.15552i | ||||||
\(902\) | −39.3328 | + | 20.2383i | −0.0436062 | + | 0.0224372i | ||||
\(903\) | 107.426 | 0.118966 | ||||||||
\(904\) | −123.853 | + | 170.468i | −0.137005 | + | 0.188571i | ||||
\(905\) | −90.1115 | + | 277.335i | −0.0995707 | + | 0.306447i | ||||
\(906\) | −991.656 | − | 3052.00i | −1.09454 | − | 3.36866i | ||||
\(907\) | −345.216 | + | 250.814i | −0.380613 | + | 0.276532i | −0.761598 | − | 0.648049i | \(-0.775585\pi\) |
0.380985 | + | 0.924581i | \(0.375585\pi\) | |||||||
\(908\) | 125.491 | + | 172.723i | 0.138206 | + | 0.190224i | ||||
\(909\) | 250.433 | − | 81.3705i | 0.275503 | − | 0.0895165i | ||||
\(910\) | −89.4427 | − | 29.0617i | −0.0982887 | − | 0.0319359i | ||||
\(911\) | −113.353 | − | 82.3554i | −0.124427 | − | 0.0904011i | 0.523831 | − | 0.851822i | \(-0.324502\pi\) |
−0.648258 | + | 0.761421i | \(0.724502\pi\) | |||||||
\(912\) | − | 340.937i | − | 0.373834i | ||||||
\(913\) | 285.384 | + | 554.639i | 0.312579 | + | 0.607491i | ||||
\(914\) | 160.795 | 0.175925 | ||||||||
\(915\) | 238.885 | − | 328.798i | 0.261077 | − | 0.359342i | ||||
\(916\) | −226.941 | + | 698.453i | −0.247752 | + | 0.762503i | ||||
\(917\) | 23.6137 | + | 72.6756i | 0.0257511 | + | 0.0792537i | ||||
\(918\) | 1093.71 | − | 794.624i | 1.19140 | − | 0.865603i | ||||
\(919\) | 611.124 | + | 841.140i | 0.664988 | + | 0.915278i | 0.999634 | − | 0.0270664i | \(-0.00861655\pi\) |
−0.334645 | + | 0.942344i | \(0.608617\pi\) | |||||||
\(920\) | 124.721 | − | 40.5244i | 0.135567 | − | 0.0440483i | ||||
\(921\) | −342.095 | − | 111.153i | −0.371438 | − | 0.120688i | ||||
\(922\) | −844.805 | − | 613.787i | −0.916275 | − | 0.665713i | ||||
\(923\) | 530.109i | 0.574333i | ||||||||
\(924\) | 193.050 | − | 31.3628i | 0.208928 | − | 0.0339424i | ||||
\(925\) | −362.243 | −0.391614 | ||||||||
\(926\) | −1224.47 | + | 1685.34i | −1.32232 | + | 1.82002i | ||||
\(927\) | −41.2167 | + | 126.852i | −0.0444625 | + | 0.136841i | ||||
\(928\) | −45.5348 | − | 140.142i | −0.0490677 | − | 0.151015i | ||||
\(929\) | −1329.96 | + | 966.270i | −1.43160 | + | 1.04012i | −0.441884 | + | 0.897072i | \(0.645690\pi\) |
−0.989716 | + | 0.143046i | \(0.954310\pi\) | |||||||
\(930\) | 867.214 | + | 1193.62i | 0.932488 | + | 1.28346i | ||||
\(931\) | −543.678 | + | 176.652i | −0.583972 | + | 0.189744i | ||||
\(932\) | −1391.32 | − | 452.068i | −1.49284 | − | 0.485052i | ||||
\(933\) | −992.895 | − | 721.381i | −1.06420 | − | 0.773184i | ||||
\(934\) | − | 1135.31i | − | 1.21554i | ||||||
\(935\) | 971.378 | + | 490.090i | 1.03891 | + | 0.524160i | ||||
\(936\) | 157.639 | 0.168418 | ||||||||
\(937\) | −426.456 | + | 586.966i | −0.455129 | + | 0.626431i | −0.973490 | − | 0.228731i | \(-0.926542\pi\) |
0.518361 | + | 0.855162i | \(0.326542\pi\) | |||||||
\(938\) | −65.3444 | + | 201.109i | −0.0696636 | + | 0.214402i | ||||
\(939\) | 431.996 | + | 1329.55i | 0.460060 | + | 1.41592i | ||||
\(940\) | 403.108 | − | 292.875i | 0.428839 | − | 0.311570i | ||||
\(941\) | −107.800 | − | 148.374i | −0.114559 | − | 0.157677i | 0.747887 | − | 0.663826i | \(-0.231069\pi\) |
−0.862446 | + | 0.506149i | \(0.831069\pi\) | |||||||
\(942\) | 2929.45 | − | 951.837i | 3.10982 | − | 1.01044i | ||||
\(943\) | −8.99187 | − | 2.92164i | −0.00953539 | − | 0.00309823i | ||||
\(944\) | 200.977 | + | 146.018i | 0.212900 | + | 0.154681i | ||||
\(945\) | − | 63.8120i | − | 0.0675259i | ||||||
\(946\) | 794.613 | + | 788.324i | 0.839971 | + | 0.833323i | ||||
\(947\) | −926.439 | −0.978288 | −0.489144 | − | 0.872203i | \(-0.662691\pi\) | ||||
−0.489144 | + | 0.872203i | \(0.662691\pi\) | |||||||
\(948\) | −767.041 | + | 1055.74i | −0.809115 | + | 1.11365i | ||||
\(949\) | −247.467 | + | 761.625i | −0.260766 | + | 0.802556i | ||||
\(950\) | −101.530 | − | 312.478i | −0.106874 | − | 0.328925i | ||||
\(951\) | 740.755 | − | 538.190i | 0.778922 | − | 0.565920i | ||||
\(952\) | 59.1390 | + | 81.3978i | 0.0621207 | + | 0.0855019i | ||||
\(953\) | 237.606 | − | 77.2030i | 0.249325 | − | 0.0810105i | −0.181688 | − | 0.983356i | \(-0.558156\pi\) |
0.431013 | + | 0.902346i | \(0.358156\pi\) | |||||||
\(954\) | 940.304 | + | 305.523i | 0.985643 | + | 0.320255i | ||||
\(955\) | 335.915 | + | 244.056i | 0.351743 | + | 0.255556i | ||||
\(956\) | − | 602.709i | − | 0.630449i | ||||||
\(957\) | −21.0081 | + | 136.139i | −0.0219521 | + | 0.142256i | ||||
\(958\) | 1463.24 | 1.52739 | ||||||||
\(959\) | 31.0081 | − | 42.6790i | 0.0323338 | − | 0.0445037i | ||||
\(960\) | 443.856 | − | 1366.05i | 0.462350 | − | 1.42297i | ||||
\(961\) | 42.1004 | + | 129.572i | 0.0438090 | + | 0.134830i | ||||
\(962\) | 852.492 | − | 619.372i | 0.886167 | − | 0.643838i | ||||
\(963\) | 12.9915 | + | 17.8813i | 0.0134907 | + | 0.0185683i | ||||
\(964\) | 994.562 | − | 323.153i | 1.03170 | − | 0.335221i | ||||
\(965\) | −1308.71 | − | 425.225i | −1.35618 | − | 0.440648i | ||||
\(966\) | 58.5410 | + | 42.5325i | 0.0606015 | + | 0.0440295i | ||||
\(967\) | − | 554.026i | − | 0.572933i | −0.958090 | − | 0.286466i | \(-0.907519\pi\) | ||
0.958090 | − | 0.286466i | \(-0.0924806\pi\) | |||||||
\(968\) | 446.068 | + | 318.703i | 0.460814 | + | 0.329239i | ||||
\(969\) | −1061.21 | −1.09516 | ||||||||
\(970\) | −523.951 | + | 721.157i | −0.540156 | + | 0.743461i | ||||
\(971\) | −352.634 | + | 1085.30i | −0.363166 | + | 1.11771i | 0.587955 | + | 0.808893i | \(0.299933\pi\) |
−0.951121 | + | 0.308817i | \(0.900067\pi\) | |||||||
\(972\) | 348.077 | + | 1071.27i | 0.358104 | + | 1.10213i | ||||
\(973\) | −116.964 | + | 84.9796i | −0.120210 | + | 0.0873377i | ||||
\(974\) | −324.098 | − | 446.083i | −0.332750 | − | 0.457991i | ||||
\(975\) | −263.435 | + | 85.5951i | −0.270189 | + | 0.0877898i | ||||
\(976\) | −212.177 | − | 68.9406i | −0.217395 | − | 0.0706358i | ||||
\(977\) | −104.116 | − | 75.6451i | −0.106568 | − | 0.0774258i | 0.533225 | − | 0.845973i | \(-0.320980\pi\) |
−0.639793 | + | 0.768547i | \(0.720980\pi\) | |||||||
\(978\) | 772.398i | 0.789773i | ||||||||
\(979\) | −677.249 | − | 104.509i | −0.691776 | − | 0.106751i | ||||
\(980\) | −1054.89 | −1.07641 | ||||||||
\(981\) | 329.373 | − | 453.343i | 0.335752 | − | 0.462123i | ||||
\(982\) | −611.297 | + | 1881.38i | −0.622502 | + | 1.91586i | ||||
\(983\) | −412.497 | − | 1269.53i | −0.419630 | − | 1.29149i | −0.908043 | − | 0.418876i | \(-0.862424\pi\) |
0.488413 | − | 0.872613i | \(-0.337576\pi\) | |||||||
\(984\) | 17.3278 | − | 12.5894i | 0.0176095 | − | 0.0127941i | ||||
\(985\) | −232.932 | − | 320.603i | −0.236479 | − | 0.325485i | ||||
\(986\) | −250.517 | + | 81.3978i | −0.254074 | + | 0.0825535i | ||||
\(987\) | 70.3444 | + | 22.8563i | 0.0712709 | + | 0.0231573i | ||||
\(988\) | 446.697 | + | 324.544i | 0.452122 | + | 0.328486i | ||||
\(989\) | 239.242i | 0.241903i | ||||||||
\(990\) | −390.095 | + | 393.207i | −0.394036 | + | 0.397179i | ||||
\(991\) | 762.024 | 0.768944 | 0.384472 | − | 0.923137i | \(-0.374383\pi\) | ||||
0.384472 | + | 0.923137i | \(0.374383\pi\) | |||||||
\(992\) | 828.904 | − | 1140.89i | 0.835588 | − | 1.15009i | ||||
\(993\) | 416.039 | − | 1280.44i | 0.418972 | − | 1.28946i | ||||
\(994\) | −53.2260 | − | 163.813i | −0.0535473 | − | 0.164802i | ||||
\(995\) | 496.636 | − | 360.827i | 0.499132 | − | 0.362641i | ||||
\(996\) | −659.886 | − | 908.255i | −0.662536 | − | 0.911903i | ||||
\(997\) | 1146.56 | − | 372.540i | 1.15001 | − | 0.373661i | 0.328864 | − | 0.944377i | \(-0.393334\pi\) |
0.821147 | + | 0.570716i | \(0.193334\pi\) | |||||||
\(998\) | 1538.71 | + | 499.958i | 1.54180 | + | 0.500960i | ||||
\(999\) | 578.435 | + | 420.257i | 0.579014 | + | 0.420678i |
(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 | 11.3.d.a.7.1 | ✓ | 4 | |
3.2 | odd | 2 | 99.3.k.a.73.1 | 4 | |||
4.3 | odd | 2 | 176.3.n.a.161.1 | 4 | |||
5.2 | odd | 4 | 275.3.q.d.249.1 | 8 | |||
5.3 | odd | 4 | 275.3.q.d.249.2 | 8 | |||
5.4 | even | 2 | 275.3.x.e.51.1 | 4 | |||
11.2 | odd | 10 | 121.3.d.a.94.1 | 4 | |||
11.3 | even | 5 | 121.3.d.d.118.1 | 4 | |||
11.4 | even | 5 | 121.3.d.a.112.1 | 4 | |||
11.5 | even | 5 | 121.3.b.b.120.1 | 4 | |||
11.6 | odd | 10 | 121.3.b.b.120.4 | 4 | |||
11.7 | odd | 10 | 121.3.d.c.112.1 | 4 | |||
11.8 | odd | 10 | inner | 11.3.d.a.8.1 | yes | 4 | |
11.9 | even | 5 | 121.3.d.c.94.1 | 4 | |||
11.10 | odd | 2 | 121.3.d.d.40.1 | 4 | |||
33.5 | odd | 10 | 1089.3.c.e.604.4 | 4 | |||
33.8 | even | 10 | 99.3.k.a.19.1 | 4 | |||
33.17 | even | 10 | 1089.3.c.e.604.1 | 4 | |||
44.19 | even | 10 | 176.3.n.a.129.1 | 4 | |||
55.8 | even | 20 | 275.3.q.d.74.1 | 8 | |||
55.19 | odd | 10 | 275.3.x.e.151.1 | 4 | |||
55.52 | even | 20 | 275.3.q.d.74.2 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
11.3.d.a.7.1 | ✓ | 4 | 1.1 | even | 1 | trivial | |
11.3.d.a.8.1 | yes | 4 | 11.8 | odd | 10 | inner | |
99.3.k.a.19.1 | 4 | 33.8 | even | 10 | |||
99.3.k.a.73.1 | 4 | 3.2 | odd | 2 | |||
121.3.b.b.120.1 | 4 | 11.5 | even | 5 | |||
121.3.b.b.120.4 | 4 | 11.6 | odd | 10 | |||
121.3.d.a.94.1 | 4 | 11.2 | odd | 10 | |||
121.3.d.a.112.1 | 4 | 11.4 | even | 5 | |||
121.3.d.c.94.1 | 4 | 11.9 | even | 5 | |||
121.3.d.c.112.1 | 4 | 11.7 | odd | 10 | |||
121.3.d.d.40.1 | 4 | 11.10 | odd | 2 | |||
121.3.d.d.118.1 | 4 | 11.3 | even | 5 | |||
176.3.n.a.129.1 | 4 | 44.19 | even | 10 | |||
176.3.n.a.161.1 | 4 | 4.3 | odd | 2 | |||
275.3.q.d.74.1 | 8 | 55.8 | even | 20 | |||
275.3.q.d.74.2 | 8 | 55.52 | even | 20 | |||
275.3.q.d.249.1 | 8 | 5.2 | odd | 4 | |||
275.3.q.d.249.2 | 8 | 5.3 | odd | 4 | |||
275.3.x.e.51.1 | 4 | 5.4 | even | 2 | |||
275.3.x.e.151.1 | 4 | 55.19 | odd | 10 | |||
1089.3.c.e.604.1 | 4 | 33.17 | even | 10 | |||
1089.3.c.e.604.4 | 4 | 33.5 | odd | 10 |