Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,2,Mod(16,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.q (of order \(15\), degree \(8\), 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: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 121.17 | ||
Character | \(\chi\) | \(=\) | 225.121 |
Dual form | 225.2.q.a.106.17 |
$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.367877 | − | 0.0781947i | 0.260128 | − | 0.0552920i | −0.0760012 | − | 0.997108i | \(-0.524215\pi\) |
0.336130 | + | 0.941816i | \(0.390882\pi\) | |||||||
\(3\) | 0.776923 | + | 1.54803i | 0.448557 | + | 0.893754i | ||||
\(4\) | −1.69787 | + | 0.755941i | −0.848936 | + | 0.377971i | ||||
\(5\) | 1.98576 | − | 1.02799i | 0.888059 | − | 0.459730i | ||||
\(6\) | 0.406860 | + | 0.508733i | 0.166100 | + | 0.207689i | ||||
\(7\) | 1.17975 | + | 2.04339i | 0.445903 | + | 0.772327i | 0.998115 | − | 0.0613768i | \(-0.0195491\pi\) |
−0.552211 | + | 0.833704i | \(0.686216\pi\) | |||||||
\(8\) | −1.17403 | + | 0.852985i | −0.415084 | + | 0.301576i | ||||
\(9\) | −1.79278 | + | 2.40540i | −0.597594 | + | 0.801799i | ||||
\(10\) | 0.650132 | − | 0.533449i | 0.205590 | − | 0.168692i | ||||
\(11\) | −0.366949 | + | 0.0779975i | −0.110639 | + | 0.0235171i | −0.262899 | − | 0.964823i | \(-0.584678\pi\) |
0.152259 | + | 0.988341i | \(0.451345\pi\) | |||||||
\(12\) | −2.48933 | − | 2.04104i | −0.718609 | − | 0.589199i | ||||
\(13\) | −0.347527 | − | 0.0738691i | −0.0963865 | − | 0.0204876i | 0.159466 | − | 0.987203i | \(-0.449023\pi\) |
−0.255852 | + | 0.966716i | \(0.582356\pi\) | |||||||
\(14\) | 0.593785 | + | 0.659465i | 0.158696 | + | 0.176249i | ||||
\(15\) | 3.13414 | + | 2.27534i | 0.809231 | + | 0.587491i | ||||
\(16\) | 2.12203 | − | 2.35675i | 0.530507 | − | 0.589187i | ||||
\(17\) | 3.45606 | − | 2.51098i | 0.838218 | − | 0.609001i | −0.0836542 | − | 0.996495i | \(-0.526659\pi\) |
0.921872 | + | 0.387494i | \(0.126659\pi\) | |||||||
\(18\) | −0.471434 | + | 1.02508i | −0.111118 | + | 0.241613i | ||||
\(19\) | −3.26679 | + | 2.37346i | −0.749452 | + | 0.544509i | −0.895657 | − | 0.444746i | \(-0.853294\pi\) |
0.146205 | + | 0.989254i | \(0.453294\pi\) | |||||||
\(20\) | −2.59447 | + | 3.24651i | −0.580140 | + | 0.725942i | ||||
\(21\) | −2.24664 | + | 3.41384i | −0.490258 | + | 0.744961i | ||||
\(22\) | −0.128893 | + | 0.0573870i | −0.0274801 | + | 0.0122349i | ||||
\(23\) | 3.07582 | + | 3.41605i | 0.641354 | + | 0.712295i | 0.972921 | − | 0.231136i | \(-0.0742442\pi\) |
−0.331568 | + | 0.943431i | \(0.607578\pi\) | |||||||
\(24\) | −2.23258 | − | 1.15473i | −0.455723 | − | 0.235709i | ||||
\(25\) | 2.88648 | − | 4.08267i | 0.577296 | − | 0.816535i | ||||
\(26\) | −0.133623 | −0.0262057 | ||||||||
\(27\) | −5.11648 | − | 0.906467i | −0.984666 | − | 0.174450i | ||||
\(28\) | −3.54774 | − | 2.57759i | −0.670460 | − | 0.487118i | ||||
\(29\) | 0.0385018 | − | 0.366320i | 0.00714960 | − | 0.0680239i | −0.990365 | − | 0.138479i | \(-0.955779\pi\) |
0.997515 | + | 0.0704554i | \(0.0224452\pi\) | |||||||
\(30\) | 1.33090 | + | 0.591974i | 0.242988 | + | 0.108079i | ||||
\(31\) | −0.614589 | − | 5.84742i | −0.110383 | − | 1.05023i | −0.899780 | − | 0.436344i | \(-0.856273\pi\) |
0.789396 | − | 0.613884i | \(-0.210394\pi\) | |||||||
\(32\) | 2.04755 | − | 3.54645i | 0.361958 | − | 0.626930i | ||||
\(33\) | −0.405834 | − | 0.507450i | −0.0706466 | − | 0.0883357i | ||||
\(34\) | 1.07506 | − | 1.19398i | 0.184372 | − | 0.204765i | ||||
\(35\) | 4.44328 | + | 2.84490i | 0.751051 | + | 0.480877i | ||||
\(36\) | 1.22557 | − | 5.43929i | 0.204262 | − | 0.906549i | ||||
\(37\) | −3.03352 | − | 9.33621i | −0.498707 | − | 1.53486i | −0.811099 | − | 0.584910i | \(-0.801130\pi\) |
0.312391 | − | 0.949953i | \(-0.398870\pi\) | |||||||
\(38\) | −1.01618 | + | 1.12859i | −0.164847 | + | 0.183081i | ||||
\(39\) | −0.155650 | − | 0.595372i | −0.0249240 | − | 0.0953357i | ||||
\(40\) | −1.45449 | + | 2.90072i | −0.229975 | + | 0.458644i | ||||
\(41\) | 8.44348 | + | 1.79472i | 1.31865 | + | 0.280288i | 0.812905 | − | 0.582396i | \(-0.197885\pi\) |
0.505744 | + | 0.862683i | \(0.331218\pi\) | |||||||
\(42\) | −0.559545 | + | 1.43155i | −0.0863397 | + | 0.220893i | ||||
\(43\) | −3.86472 | − | 6.69390i | −0.589365 | − | 1.02081i | −0.994316 | − | 0.106471i | \(-0.966045\pi\) |
0.404951 | − | 0.914338i | \(-0.367289\pi\) | |||||||
\(44\) | 0.564071 | − | 0.409822i | 0.0850370 | − | 0.0617830i | ||||
\(45\) | −1.08731 | + | 6.61950i | −0.162087 | + | 0.986776i | ||||
\(46\) | 1.39864 | + | 1.01617i | 0.206219 | + | 0.149827i | ||||
\(47\) | 0.0700054 | − | 0.666057i | 0.0102113 | − | 0.0971544i | −0.988229 | − | 0.152981i | \(-0.951113\pi\) |
0.998440 | + | 0.0558265i | \(0.0177794\pi\) | |||||||
\(48\) | 5.29697 | + | 1.45394i | 0.764551 | + | 0.209859i | ||||
\(49\) | 0.716381 | − | 1.24081i | 0.102340 | − | 0.177258i | ||||
\(50\) | 0.742627 | − | 1.72763i | 0.105023 | − | 0.244324i | ||||
\(51\) | 6.57216 | + | 3.39925i | 0.920286 | + | 0.475990i | ||||
\(52\) | 0.645896 | − | 0.137289i | 0.0895697 | − | 0.0190386i | ||||
\(53\) | −8.98419 | − | 6.52740i | −1.23407 | − | 0.896607i | −0.236885 | − | 0.971538i | \(-0.576126\pi\) |
−0.997189 | + | 0.0749310i | \(0.976126\pi\) | |||||||
\(54\) | −1.95312 | + | 0.0666126i | −0.265785 | + | 0.00906483i | ||||
\(55\) | −0.648493 | + | 0.532104i | −0.0874427 | + | 0.0717489i | ||||
\(56\) | −3.12804 | − | 1.39270i | −0.418002 | − | 0.186107i | ||||
\(57\) | −6.21222 | − | 3.21308i | −0.822829 | − | 0.425583i | ||||
\(58\) | −0.0144804 | − | 0.137771i | −0.00190136 | − | 0.0180903i | ||||
\(59\) | 11.3428 | + | 2.41099i | 1.47671 | + | 0.313885i | 0.874724 | − | 0.484622i | \(-0.161043\pi\) |
0.601987 | + | 0.798506i | \(0.294376\pi\) | |||||||
\(60\) | −7.04139 | − | 1.49402i | −0.909039 | − | 0.192877i | ||||
\(61\) | −6.33351 | + | 1.34623i | −0.810923 | + | 0.172367i | −0.594670 | − | 0.803970i | \(-0.702717\pi\) |
−0.216254 | + | 0.976337i | \(0.569384\pi\) | |||||||
\(62\) | −0.683331 | − | 2.10308i | −0.0867831 | − | 0.267091i | ||||
\(63\) | −7.03019 | − | 0.825578i | −0.885721 | − | 0.104013i | ||||
\(64\) | −1.48405 | + | 4.56744i | −0.185506 | + | 0.570930i | ||||
\(65\) | −0.766041 | + | 0.210567i | −0.0950157 | + | 0.0261176i | ||||
\(66\) | −0.188977 | − | 0.154945i | −0.0232614 | − | 0.0190724i | ||||
\(67\) | 1.33023 | + | 12.6563i | 0.162513 | + | 1.54621i | 0.706861 | + | 0.707352i | \(0.250111\pi\) |
−0.544348 | + | 0.838860i | \(0.683223\pi\) | |||||||
\(68\) | −3.96980 | + | 6.87589i | −0.481409 | + | 0.833825i | ||||
\(69\) | −2.89846 | + | 7.41547i | −0.348934 | + | 0.892718i | ||||
\(70\) | 1.85704 | + | 0.699135i | 0.221958 | + | 0.0835626i | ||||
\(71\) | −1.67206 | − | 1.21482i | −0.198437 | − | 0.144173i | 0.484129 | − | 0.874996i | \(-0.339136\pi\) |
−0.682567 | + | 0.730823i | \(0.739136\pi\) | |||||||
\(72\) | 0.0530170 | − | 4.35323i | 0.00624812 | − | 0.513033i | ||||
\(73\) | 1.94846 | − | 5.99673i | 0.228050 | − | 0.701864i | −0.769918 | − | 0.638143i | \(-0.779703\pi\) |
0.997968 | − | 0.0637218i | \(-0.0202970\pi\) | |||||||
\(74\) | −1.84600 | − | 3.19737i | −0.214594 | − | 0.371687i | ||||
\(75\) | 8.56267 | + | 1.29643i | 0.988732 | + | 0.149699i | ||||
\(76\) | 3.75239 | − | 6.49933i | 0.430428 | − | 0.745524i | ||||
\(77\) | −0.592287 | − | 0.657802i | −0.0674974 | − | 0.0749635i | ||||
\(78\) | −0.103815 | − | 0.206853i | −0.0117547 | − | 0.0234214i | ||||
\(79\) | −1.24358 | + | 11.8319i | −0.139914 | + | 1.33119i | 0.668997 | + | 0.743265i | \(0.266724\pi\) |
−0.808912 | + | 0.587930i | \(0.799943\pi\) | |||||||
\(80\) | 1.79112 | − | 6.86136i | 0.200254 | − | 0.767123i | ||||
\(81\) | −2.57187 | − | 8.62470i | −0.285763 | − | 0.958300i | ||||
\(82\) | 3.24650 | 0.358516 | ||||||||
\(83\) | −8.03305 | − | 3.57654i | −0.881741 | − | 0.392577i | −0.0846325 | − | 0.996412i | \(-0.526972\pi\) |
−0.797109 | + | 0.603836i | \(0.793638\pi\) | |||||||
\(84\) | 1.23385 | − | 7.49459i | 0.134624 | − | 0.817727i | ||||
\(85\) | 4.28165 | − | 8.53899i | 0.464410 | − | 0.926183i | ||||
\(86\) | −1.94517 | − | 2.16033i | −0.209753 | − | 0.232954i | ||||
\(87\) | 0.596986 | − | 0.225001i | 0.0640037 | − | 0.0241226i | ||||
\(88\) | 0.364280 | − | 0.404574i | 0.0388324 | − | 0.0431277i | ||||
\(89\) | −0.603343 | + | 1.85690i | −0.0639542 | + | 0.196831i | −0.977928 | − | 0.208943i | \(-0.932998\pi\) |
0.913974 | + | 0.405774i | \(0.132998\pi\) | |||||||
\(90\) | 0.117613 | + | 2.52018i | 0.0123974 | + | 0.265651i | ||||
\(91\) | −0.259051 | − | 0.797278i | −0.0271560 | − | 0.0835775i | ||||
\(92\) | −7.80469 | − | 3.47487i | −0.813695 | − | 0.362280i | ||||
\(93\) | 8.57449 | − | 5.49440i | 0.889133 | − | 0.569743i | ||||
\(94\) | −0.0263287 | − | 0.250501i | −0.00271560 | − | 0.0258372i | ||||
\(95\) | −4.04716 | + | 8.07133i | −0.415230 | + | 0.828101i | ||||
\(96\) | 7.08079 | + | 0.414337i | 0.722680 | + | 0.0422881i | ||||
\(97\) | −1.17621 | + | 11.1909i | −0.119426 | + | 1.13626i | 0.756561 | + | 0.653924i | \(0.226878\pi\) |
−0.875986 | + | 0.482336i | \(0.839788\pi\) | |||||||
\(98\) | 0.166516 | − | 0.512483i | 0.0168206 | − | 0.0517686i | ||||
\(99\) | 0.470245 | − | 1.02249i | 0.0472614 | − | 0.102764i | ||||
\(100\) | −1.81461 | + | 9.11387i | −0.181461 | + | 0.911387i | ||||
\(101\) | 7.92712 | + | 13.7302i | 0.788778 | + | 1.36620i | 0.926716 | + | 0.375762i | \(0.122619\pi\) |
−0.137938 | + | 0.990441i | \(0.544048\pi\) | |||||||
\(102\) | 2.68355 | + | 0.736597i | 0.265711 | + | 0.0729340i | ||||
\(103\) | −1.29330 | + | 0.575813i | −0.127432 | + | 0.0567365i | −0.469462 | − | 0.882953i | \(-0.655552\pi\) |
0.342030 | + | 0.939689i | \(0.388886\pi\) | |||||||
\(104\) | 0.471017 | − | 0.209710i | 0.0461870 | − | 0.0205638i | ||||
\(105\) | −0.951908 | + | 9.08859i | −0.0928967 | + | 0.886955i | ||||
\(106\) | −3.81549 | − | 1.69876i | −0.370593 | − | 0.164999i | ||||
\(107\) | 7.97644 | 0.771112 | 0.385556 | − | 0.922684i | \(-0.374010\pi\) | ||||
0.385556 | + | 0.922684i | \(0.374010\pi\) | |||||||
\(108\) | 9.37235 | − | 2.32869i | 0.901855 | − | 0.224078i | ||||
\(109\) | 2.73023 | + | 8.40279i | 0.261509 | + | 0.804841i | 0.992477 | + | 0.122430i | \(0.0390687\pi\) |
−0.730968 | + | 0.682411i | \(0.760931\pi\) | |||||||
\(110\) | −0.196958 | + | 0.246458i | −0.0187792 | + | 0.0234988i | ||||
\(111\) | 12.0959 | − | 11.9495i | 1.14809 | − | 1.13419i | ||||
\(112\) | 7.31921 | + | 1.55575i | 0.691600 | + | 0.147004i | ||||
\(113\) | −16.2878 | − | 3.46209i | −1.53223 | − | 0.325686i | −0.636850 | − | 0.770988i | \(-0.719763\pi\) |
−0.895380 | + | 0.445302i | \(0.853096\pi\) | |||||||
\(114\) | −2.53658 | − | 0.696256i | −0.237573 | − | 0.0652104i | ||||
\(115\) | 9.61951 | + | 3.62154i | 0.897023 | + | 0.337710i | ||||
\(116\) | 0.211545 | + | 0.651069i | 0.0196415 | + | 0.0604503i | ||||
\(117\) | 0.800724 | − | 0.703508i | 0.0740269 | − | 0.0650394i | ||||
\(118\) | 4.36130 | 0.401490 | ||||||||
\(119\) | 9.20818 | + | 4.09975i | 0.844113 | + | 0.375823i | ||||
\(120\) | −5.62042 | + | 0.00204349i | −0.513071 | + | 0.000186545i | ||||
\(121\) | −9.92043 | + | 4.41686i | −0.901857 | + | 0.401533i | ||||
\(122\) | −2.22469 | + | 0.990495i | −0.201414 | + | 0.0896752i | ||||
\(123\) | 3.78166 | + | 14.4651i | 0.340981 | + | 1.30427i | ||||
\(124\) | 5.46380 | + | 9.46358i | 0.490664 | + | 0.849855i | ||||
\(125\) | 1.53491 | − | 11.0745i | 0.137287 | − | 0.990531i | ||||
\(126\) | −2.65080 | + | 0.246012i | −0.236152 | + | 0.0219165i | ||||
\(127\) | 2.85948 | − | 8.80056i | 0.253738 | − | 0.780924i | −0.740338 | − | 0.672235i | \(-0.765335\pi\) |
0.994076 | − | 0.108689i | \(-0.0346653\pi\) | |||||||
\(128\) | −1.04491 | + | 9.94162i | −0.0923575 | + | 0.878723i | ||||
\(129\) | 7.35975 | − | 11.1833i | 0.647989 | − | 0.984638i | ||||
\(130\) | −0.265344 | + | 0.137363i | −0.0232722 | + | 0.0120475i | ||||
\(131\) | 1.66169 | + | 15.8099i | 0.145183 | + | 1.38132i | 0.788177 | + | 0.615449i | \(0.211025\pi\) |
−0.642994 | + | 0.765871i | \(0.722308\pi\) | |||||||
\(132\) | 1.07266 | + | 0.554798i | 0.0933627 | + | 0.0482890i | ||||
\(133\) | −8.70388 | − | 3.87522i | −0.754722 | − | 0.336024i | ||||
\(134\) | 1.47902 | + | 4.55194i | 0.127768 | + | 0.393228i | ||||
\(135\) | −11.0919 | + | 3.45965i | −0.954641 | + | 0.297759i | ||||
\(136\) | −1.91571 | + | 5.89594i | −0.164271 | + | 0.505573i | ||||
\(137\) | −4.68846 | + | 5.20706i | −0.400562 | + | 0.444870i | −0.909356 | − | 0.416019i | \(-0.863425\pi\) |
0.508794 | + | 0.860889i | \(0.330092\pi\) | |||||||
\(138\) | −0.486427 | + | 2.95463i | −0.0414074 | + | 0.251515i | ||||
\(139\) | −10.7197 | − | 11.9055i | −0.909236 | − | 1.00981i | −0.999903 | − | 0.0139277i | \(-0.995567\pi\) |
0.0906670 | − | 0.995881i | \(-0.471100\pi\) | |||||||
\(140\) | −9.69469 | − | 1.47143i | −0.819351 | − | 0.124358i | ||||
\(141\) | 1.08546 | − | 0.409104i | 0.0914125 | − | 0.0344528i | ||||
\(142\) | −0.710106 | − | 0.316160i | −0.0595908 | − | 0.0265315i | ||||
\(143\) | 0.133286 | 0.0111460 | ||||||||
\(144\) | 1.86459 | + | 9.32945i | 0.155382 | + | 0.777454i | ||||
\(145\) | −0.300117 | − | 0.767002i | −0.0249234 | − | 0.0636961i | ||||
\(146\) | 0.247880 | − | 2.35842i | 0.0205147 | − | 0.195184i | ||||
\(147\) | 2.47738 | + | 0.144965i | 0.204331 | + | 0.0119565i | ||||
\(148\) | 12.2081 | + | 13.5585i | 1.00350 | + | 1.11450i | ||||
\(149\) | 5.59996 | − | 9.69941i | 0.458766 | − | 0.794606i | −0.540130 | − | 0.841582i | \(-0.681625\pi\) |
0.998896 | + | 0.0469753i | \(0.0149582\pi\) | |||||||
\(150\) | 3.25138 | − | 0.192629i | 0.265474 | − | 0.0157281i | ||||
\(151\) | −1.72821 | − | 2.99334i | −0.140640 | − | 0.243595i | 0.787098 | − | 0.616828i | \(-0.211583\pi\) |
−0.927738 | + | 0.373233i | \(0.878249\pi\) | |||||||
\(152\) | 1.81079 | − | 5.57304i | 0.146874 | − | 0.452033i | ||||
\(153\) | −0.156069 | + | 12.8148i | −0.0126174 | + | 1.03602i | ||||
\(154\) | −0.269326 | − | 0.195677i | −0.0217029 | − | 0.0157681i | ||||
\(155\) | −7.23151 | − | 10.9798i | −0.580849 | − | 0.881918i | ||||
\(156\) | 0.714340 | + | 0.893202i | 0.0571929 | + | 0.0715134i | ||||
\(157\) | −0.881657 | + | 1.52708i | −0.0703639 | + | 0.121874i | −0.899061 | − | 0.437824i | \(-0.855749\pi\) |
0.828697 | + | 0.559698i | \(0.189083\pi\) | |||||||
\(158\) | 0.467707 | + | 4.44994i | 0.0372088 | + | 0.354018i | ||||
\(159\) | 3.12457 | − | 18.9791i | 0.247794 | − | 1.50514i | ||||
\(160\) | 0.420220 | − | 9.14725i | 0.0332213 | − | 0.723154i | ||||
\(161\) | −3.35161 | + | 10.3152i | −0.264143 | + | 0.812950i | ||||
\(162\) | −1.62054 | − | 2.97172i | −0.127322 | − | 0.233481i | ||||
\(163\) | 2.57870 | + | 7.93644i | 0.201980 | + | 0.621630i | 0.999824 | + | 0.0187660i | \(0.00597376\pi\) |
−0.797844 | + | 0.602864i | \(0.794026\pi\) | |||||||
\(164\) | −15.6926 | + | 3.33557i | −1.22539 | + | 0.260465i | ||||
\(165\) | −1.32754 | − | 0.590481i | −0.103349 | − | 0.0459689i | ||||
\(166\) | −3.23484 | − | 0.687587i | −0.251072 | − | 0.0533671i | ||||
\(167\) | −1.20283 | − | 11.4442i | −0.0930778 | − | 0.885577i | −0.937051 | − | 0.349192i | \(-0.886456\pi\) |
0.843973 | − | 0.536385i | \(-0.180210\pi\) | |||||||
\(168\) | −0.274319 | − | 5.92432i | −0.0211641 | − | 0.457071i | ||||
\(169\) | −11.7608 | − | 5.23623i | −0.904675 | − | 0.402787i | ||||
\(170\) | 0.907419 | − | 3.47610i | 0.0695959 | − | 0.266605i | ||||
\(171\) | 0.147522 | − | 12.1130i | 0.0112813 | − | 0.926305i | ||||
\(172\) | 11.6220 | + | 8.44387i | 0.886169 | + | 0.643839i | ||||
\(173\) | 17.7210 | − | 3.76672i | 1.34731 | − | 0.286379i | 0.522908 | − | 0.852389i | \(-0.324847\pi\) |
0.824398 | + | 0.566011i | \(0.191514\pi\) | |||||||
\(174\) | 0.202024 | − | 0.129454i | 0.0153154 | − | 0.00981386i | ||||
\(175\) | 11.7478 | + | 1.08166i | 0.888051 | + | 0.0817657i | ||||
\(176\) | −0.594856 | + | 1.03032i | −0.0448389 | + | 0.0776633i | ||||
\(177\) | 5.08022 | + | 19.4322i | 0.381853 | + | 1.46061i | ||||
\(178\) | −0.0767565 | + | 0.730289i | −0.00575314 | + | 0.0547375i | ||||
\(179\) | −5.91468 | − | 4.29726i | −0.442084 | − | 0.321193i | 0.344379 | − | 0.938831i | \(-0.388090\pi\) |
−0.786462 | + | 0.617638i | \(0.788090\pi\) | |||||||
\(180\) | −3.15784 | − | 12.0610i | −0.235371 | − | 0.898974i | ||||
\(181\) | −7.81043 | + | 5.67461i | −0.580544 | + | 0.421790i | −0.838920 | − | 0.544254i | \(-0.816813\pi\) |
0.258376 | + | 0.966044i | \(0.416813\pi\) | |||||||
\(182\) | −0.157642 | − | 0.273044i | −0.0116852 | − | 0.0202394i | ||||
\(183\) | −7.00465 | − | 8.75854i | −0.517799 | − | 0.647450i | ||||
\(184\) | −6.52496 | − | 1.38692i | −0.481026 | − | 0.102245i | ||||
\(185\) | −15.6213 | − | 15.4210i | −1.14850 | − | 1.13378i | ||||
\(186\) | 2.72473 | − | 2.69174i | 0.199787 | − | 0.197368i | ||||
\(187\) | −1.07235 | + | 1.19097i | −0.0784180 | + | 0.0870920i | ||||
\(188\) | 0.384640 | + | 1.18380i | 0.0280527 | + | 0.0863374i | ||||
\(189\) | −4.18390 | − | 11.5243i | −0.304334 | − | 0.838272i | ||||
\(190\) | −0.857723 | + | 3.28573i | −0.0622258 | + | 0.238372i | ||||
\(191\) | 8.77381 | − | 9.74430i | 0.634850 | − | 0.705073i | −0.336778 | − | 0.941584i | \(-0.609337\pi\) |
0.971629 | + | 0.236511i | \(0.0760040\pi\) | |||||||
\(192\) | −8.22352 | + | 1.25120i | −0.593481 | + | 0.0902973i | ||||
\(193\) | 8.40007 | − | 14.5494i | 0.604650 | − | 1.04729i | −0.387456 | − | 0.921888i | \(-0.626646\pi\) |
0.992107 | − | 0.125397i | \(-0.0400205\pi\) | |||||||
\(194\) | 0.442367 | + | 4.20884i | 0.0317601 | + | 0.302177i | ||||
\(195\) | −0.921119 | − | 1.02226i | −0.0659627 | − | 0.0732054i | ||||
\(196\) | −0.278345 | + | 2.64828i | −0.0198818 | + | 0.189163i | ||||
\(197\) | −9.40465 | − | 6.83288i | −0.670054 | − | 0.486823i | 0.199989 | − | 0.979798i | \(-0.435909\pi\) |
−0.870043 | + | 0.492976i | \(0.835909\pi\) | |||||||
\(198\) | 0.0930390 | − | 0.412922i | 0.00661199 | − | 0.0293451i | ||||
\(199\) | 7.37976 | 0.523137 | 0.261568 | − | 0.965185i | \(-0.415760\pi\) | ||||
0.261568 | + | 0.965185i | \(0.415760\pi\) | |||||||
\(200\) | 0.0936376 | + | 7.25532i | 0.00662118 | + | 0.513029i | ||||
\(201\) | −18.5588 | + | 11.8922i | −1.30904 | + | 0.838811i | ||||
\(202\) | 3.98983 | + | 4.43116i | 0.280724 | + | 0.311775i | ||||
\(203\) | 0.793955 | − | 0.353492i | 0.0557248 | − | 0.0248103i | ||||
\(204\) | −13.7283 | − | 0.803320i | −0.961174 | − | 0.0562437i | ||||
\(205\) | 18.6117 | − | 5.11592i | 1.29989 | − | 0.357312i | ||||
\(206\) | −0.430749 | + | 0.312957i | −0.0300117 | + | 0.0218048i | ||||
\(207\) | −13.7312 | + | 1.27435i | −0.954387 | + | 0.0885735i | ||||
\(208\) | −0.911552 | + | 0.662281i | −0.0632047 | + | 0.0459209i | ||||
\(209\) | 1.01362 | − | 1.12574i | 0.0701136 | − | 0.0778691i | ||||
\(210\) | 0.360494 | + | 3.41792i | 0.0248765 | + | 0.235859i | ||||
\(211\) | 7.43482 | + | 8.25720i | 0.511834 | + | 0.568449i | 0.942561 | − | 0.334033i | \(-0.108410\pi\) |
−0.430727 | + | 0.902482i | \(0.641743\pi\) | |||||||
\(212\) | 20.1883 | + | 4.29116i | 1.38654 | + | 0.294718i | ||||
\(213\) | 0.581518 | − | 3.53222i | 0.0398450 | − | 0.242024i | ||||
\(214\) | 2.93435 | − | 0.623716i | 0.200588 | − | 0.0426363i | ||||
\(215\) | −14.5557 | − | 9.31958i | −0.992687 | − | 0.635590i | ||||
\(216\) | 6.78012 | − | 3.30005i | 0.461329 | − | 0.224540i | ||||
\(217\) | 11.2235 | − | 8.15434i | 0.761900 | − | 0.553553i | ||||
\(218\) | 1.66144 | + | 2.87771i | 0.112527 | + | 0.194903i | ||||
\(219\) | 10.7969 | − | 1.64273i | 0.729588 | − | 0.111006i | ||||
\(220\) | 0.698818 | − | 1.39367i | 0.0471143 | − | 0.0939610i | ||||
\(221\) | −1.38656 | + | 0.617335i | −0.0932699 | + | 0.0415264i | ||||
\(222\) | 3.51542 | − | 5.34178i | 0.235940 | − | 0.358517i | ||||
\(223\) | 2.95847 | − | 0.628841i | 0.198114 | − | 0.0421103i | −0.107786 | − | 0.994174i | \(-0.534376\pi\) |
0.305900 | + | 0.952064i | \(0.401043\pi\) | |||||||
\(224\) | 9.66236 | 0.645594 | ||||||||
\(225\) | 4.64563 | + | 14.2625i | 0.309708 | + | 0.950832i | ||||
\(226\) | −6.26264 | −0.416585 | ||||||||
\(227\) | −8.94852 | + | 1.90207i | −0.593934 | + | 0.126245i | −0.495065 | − | 0.868856i | \(-0.664856\pi\) |
−0.0988690 | + | 0.995100i | \(0.531522\pi\) | |||||||
\(228\) | 12.9765 | + | 0.759325i | 0.859387 | + | 0.0502875i | ||||
\(229\) | −26.9255 | + | 11.9880i | −1.77929 | + | 0.792191i | −0.797216 | + | 0.603694i | \(0.793695\pi\) |
−0.982074 | + | 0.188497i | \(0.939638\pi\) | |||||||
\(230\) | 3.82198 | + | 0.580087i | 0.252014 | + | 0.0382498i | ||||
\(231\) | 0.558134 | − | 1.42794i | 0.0367225 | − | 0.0939515i | ||||
\(232\) | 0.267263 | + | 0.462913i | 0.0175467 | + | 0.0303917i | ||||
\(233\) | 6.59518 | − | 4.79168i | 0.432064 | − | 0.313913i | −0.350409 | − | 0.936597i | \(-0.613958\pi\) |
0.782474 | + | 0.622683i | \(0.213958\pi\) | |||||||
\(234\) | 0.239557 | − | 0.321417i | 0.0156604 | − | 0.0210117i | ||||
\(235\) | −0.545685 | − | 1.39459i | −0.0355965 | − | 0.0909732i | ||||
\(236\) | −21.0812 | + | 4.48095i | −1.37227 | + | 0.291685i | ||||
\(237\) | −19.2823 | + | 7.26739i | −1.25252 | + | 0.472067i | ||||
\(238\) | 3.70806 | + | 0.788172i | 0.240358 | + | 0.0510896i | ||||
\(239\) | 3.17374 | + | 3.52480i | 0.205292 | + | 0.228000i | 0.836995 | − | 0.547211i | \(-0.184310\pi\) |
−0.631703 | + | 0.775211i | \(0.717644\pi\) | |||||||
\(240\) | 12.0131 | − | 2.55804i | 0.775445 | − | 0.165121i | ||||
\(241\) | −16.7450 | + | 18.5973i | −1.07864 | + | 1.19795i | −0.0994459 | + | 0.995043i | \(0.531707\pi\) |
−0.979197 | + | 0.202911i | \(0.934960\pi\) | |||||||
\(242\) | −3.30413 | + | 2.40059i | −0.212397 | + | 0.154316i | ||||
\(243\) | 11.3531 | − | 10.6821i | 0.728304 | − | 0.685254i | ||||
\(244\) | 9.73582 | − | 7.07349i | 0.623272 | − | 0.452834i | ||||
\(245\) | 0.147024 | − | 3.20038i | 0.00939301 | − | 0.204465i | ||||
\(246\) | 2.52228 | + | 5.02567i | 0.160815 | + | 0.320425i | ||||
\(247\) | 1.31062 | − | 0.583526i | 0.0833928 | − | 0.0371288i | ||||
\(248\) | 5.70932 | + | 6.34084i | 0.362542 | + | 0.402644i | ||||
\(249\) | −0.704470 | − | 15.2141i | −0.0446440 | − | 0.964153i | ||||
\(250\) | −0.301307 | − | 4.19407i | −0.0190563 | − | 0.265256i | ||||
\(251\) | −20.6780 | −1.30518 | −0.652591 | − | 0.757710i | \(-0.726318\pi\) | ||||
−0.652591 | + | 0.757710i | \(0.726318\pi\) | |||||||
\(252\) | 12.5604 | − | 3.91268i | 0.791234 | − | 0.246476i | ||||
\(253\) | −1.39511 | − | 1.01361i | −0.0877101 | − | 0.0637251i | ||||
\(254\) | 0.363779 | − | 3.46112i | 0.0228255 | − | 0.217170i | ||||
\(255\) | 16.5451 | − | 0.00601553i | 1.03609 | − | 0.000376707i | ||||
\(256\) | −0.611009 | − | 5.81337i | −0.0381881 | − | 0.363335i | ||||
\(257\) | 0.199971 | − | 0.346359i | 0.0124738 | − | 0.0216053i | −0.859721 | − | 0.510764i | \(-0.829363\pi\) |
0.872195 | + | 0.489158i | \(0.162696\pi\) | |||||||
\(258\) | 1.83300 | − | 4.68959i | 0.114118 | − | 0.291961i | ||||
\(259\) | 15.4987 | − | 17.2130i | 0.963042 | − | 1.06957i | ||||
\(260\) | 1.14146 | − | 0.936598i | 0.0707905 | − | 0.0580853i | ||||
\(261\) | 0.812119 | + | 0.749343i | 0.0502689 | + | 0.0463832i | ||||
\(262\) | 1.84755 | + | 5.68618i | 0.114142 | + | 0.351293i | ||||
\(263\) | 1.78686 | − | 1.98451i | 0.110182 | − | 0.122370i | −0.685531 | − | 0.728044i | \(-0.740430\pi\) |
0.795713 | + | 0.605674i | \(0.207096\pi\) | |||||||
\(264\) | 0.909310 | + | 0.249593i | 0.0559641 | + | 0.0153614i | ||||
\(265\) | −24.5505 | − | 3.72619i | −1.50813 | − | 0.228898i | ||||
\(266\) | −3.50498 | − | 0.745007i | −0.214904 | − | 0.0456793i | ||||
\(267\) | −3.34328 | + | 0.508676i | −0.204606 | + | 0.0311304i | ||||
\(268\) | −11.8260 | − | 20.4832i | −0.722386 | − | 1.25121i | ||||
\(269\) | 15.1805 | − | 11.0293i | 0.925574 | − | 0.672469i | −0.0193308 | − | 0.999813i | \(-0.506154\pi\) |
0.944905 | + | 0.327344i | \(0.106154\pi\) | |||||||
\(270\) | −3.80994 | + | 2.14006i | −0.231866 | + | 0.130240i | ||||
\(271\) | −10.8085 | − | 7.85283i | −0.656569 | − | 0.477025i | 0.208934 | − | 0.977930i | \(-0.433001\pi\) |
−0.865503 | + | 0.500905i | \(0.833001\pi\) | |||||||
\(272\) | 1.41611 | − | 13.4734i | 0.0858646 | − | 0.816947i | ||||
\(273\) | 1.03295 | − | 1.02044i | 0.0625167 | − | 0.0617600i | ||||
\(274\) | −1.31761 | + | 2.28217i | −0.0795999 | + | 0.137871i | ||||
\(275\) | −0.740753 | + | 1.72327i | −0.0446691 | + | 0.103917i | ||||
\(276\) | −0.684444 | − | 14.7816i | −0.0411987 | − | 0.889747i | ||||
\(277\) | −22.2737 | + | 4.73443i | −1.33830 | + | 0.284464i | −0.820798 | − | 0.571219i | \(-0.806471\pi\) |
−0.517500 | + | 0.855683i | \(0.673137\pi\) | |||||||
\(278\) | −4.87449 | − | 3.54153i | −0.292353 | − | 0.212407i | ||||
\(279\) | 15.1672 | + | 9.00482i | 0.908037 | + | 0.539105i | ||||
\(280\) | −7.64322 | + | 0.450036i | −0.456770 | + | 0.0268948i | ||||
\(281\) | 8.19793 | + | 3.64996i | 0.489048 | + | 0.217738i | 0.636420 | − | 0.771343i | \(-0.280415\pi\) |
−0.147372 | + | 0.989081i | \(0.547081\pi\) | |||||||
\(282\) | 0.367327 | − | 0.235378i | 0.0218740 | − | 0.0140165i | ||||
\(283\) | 0.679692 | + | 6.46684i | 0.0404035 | + | 0.384414i | 0.995973 | + | 0.0896492i | \(0.0285746\pi\) |
−0.955570 | + | 0.294765i | \(0.904759\pi\) | |||||||
\(284\) | 3.75728 | + | 0.798635i | 0.222954 | + | 0.0473903i | ||||
\(285\) | −15.6390 | + | 0.00568608i | −0.926374 | + | 0.000336815i | ||||
\(286\) | 0.0490330 | − | 0.0104223i | 0.00289938 | − | 0.000616282i | ||||
\(287\) | 6.29389 | + | 19.3706i | 0.371517 | + | 1.14341i | ||||
\(288\) | 4.85983 | + | 11.2832i | 0.286368 | + | 0.664867i | ||||
\(289\) | 0.386075 | − | 1.18822i | 0.0227103 | − | 0.0698951i | ||||
\(290\) | −0.170382 | − | 0.258695i | −0.0100052 | − | 0.0151911i | ||||
\(291\) | −18.2376 | + | 6.87364i | −1.06911 | + | 0.402940i | ||||
\(292\) | 1.22495 | + | 11.6546i | 0.0716847 | + | 0.682034i | ||||
\(293\) | 8.56935 | − | 14.8426i | 0.500627 | − | 0.867111i | −0.499373 | − | 0.866387i | \(-0.666436\pi\) |
1.00000 | 0.000723948i | \(-0.000230440\pi\) | ||||||||
\(294\) | 0.922707 | − | 0.140389i | 0.0538134 | − | 0.00818763i | ||||
\(295\) | 25.0026 | − | 6.87264i | 1.45571 | − | 0.400141i | ||||
\(296\) | 11.5251 | + | 8.37347i | 0.669883 | + | 0.486698i | ||||
\(297\) | 1.94819 | − | 0.0664446i | 0.113045 | − | 0.00385551i | ||||
\(298\) | 1.30165 | − | 4.00608i | 0.0754028 | − | 0.232066i | ||||
\(299\) | −0.816590 | − | 1.41438i | −0.0472246 | − | 0.0817955i | ||||
\(300\) | −15.5183 | + | 4.27171i | −0.895951 | + | 0.246627i | ||||
\(301\) | 9.11881 | − | 15.7942i | 0.525599 | − | 0.910365i | ||||
\(302\) | −0.869832 | − | 0.966046i | −0.0500532 | − | 0.0555897i | ||||
\(303\) | −15.0959 | + | 22.9387i | −0.867238 | + | 1.31779i | ||||
\(304\) | −1.33856 | + | 12.7355i | −0.0767716 | + | 0.730433i | ||||
\(305\) | −11.1929 | + | 9.18407i | −0.640905 | + | 0.525878i | ||||
\(306\) | 0.944638 | + | 4.72649i | 0.0540014 | + | 0.270195i | ||||
\(307\) | −22.7466 | −1.29822 | −0.649109 | − | 0.760695i | \(-0.724858\pi\) | ||||
−0.649109 | + | 0.760695i | \(0.724858\pi\) | |||||||
\(308\) | 1.50289 | + | 0.669129i | 0.0856350 | + | 0.0381271i | ||||
\(309\) | −1.89617 | − | 1.55470i | −0.107869 | − | 0.0884437i | ||||
\(310\) | −3.51887 | − | 3.47375i | −0.199858 | − | 0.197296i | ||||
\(311\) | 9.62578 | + | 10.6905i | 0.545828 | + | 0.606203i | 0.951437 | − | 0.307843i | \(-0.0996072\pi\) |
−0.405609 | + | 0.914047i | \(0.632941\pi\) | |||||||
\(312\) | 0.690582 | + | 0.566219i | 0.0390965 | + | 0.0320558i | ||||
\(313\) | 1.73060 | − | 1.92203i | 0.0978194 | − | 0.108640i | −0.692247 | − | 0.721660i | \(-0.743379\pi\) |
0.790067 | + | 0.613021i | \(0.210046\pi\) | |||||||
\(314\) | −0.204932 | + | 0.630717i | −0.0115650 | + | 0.0355934i | ||||
\(315\) | −14.8089 | + | 5.58755i | −0.834390 | + | 0.314823i | ||||
\(316\) | −6.83279 | − | 21.0292i | −0.384374 | − | 1.18298i | ||||
\(317\) | 14.1723 | + | 6.30993i | 0.795998 | + | 0.354401i | 0.764106 | − | 0.645090i | \(-0.223180\pi\) |
0.0318914 | + | 0.999491i | \(0.489847\pi\) | |||||||
\(318\) | −0.334605 | − | 7.22629i | −0.0187637 | − | 0.405230i | ||||
\(319\) | 0.0144438 | + | 0.137424i | 0.000808699 | + | 0.00769426i | ||||
\(320\) | 1.74831 | + | 10.5954i | 0.0977333 | + | 0.592302i | ||||
\(321\) | 6.19708 | + | 12.3478i | 0.345887 | + | 0.689184i | ||||
\(322\) | −0.426387 | + | 4.05680i | −0.0237616 | + | 0.226077i | ||||
\(323\) | −5.33052 | + | 16.4056i | −0.296598 | + | 0.912834i | ||||
\(324\) | 10.8865 | + | 12.6995i | 0.604804 | + | 0.705525i | ||||
\(325\) | −1.30471 | + | 1.20562i | −0.0723724 | + | 0.0668756i | ||||
\(326\) | 1.56923 | + | 2.71799i | 0.0869119 | + | 0.150536i | ||||
\(327\) | −10.8866 | + | 10.7548i | −0.602029 | + | 0.594742i | ||||
\(328\) | −11.4438 | + | 5.09511i | −0.631878 | + | 0.281330i | ||||
\(329\) | 1.44360 | − | 0.642732i | 0.0795882 | − | 0.0354350i | ||||
\(330\) | −0.534544 | − | 0.113418i | −0.0294257 | − | 0.00624344i | ||||
\(331\) | 7.91509 | + | 3.52403i | 0.435053 | + | 0.193698i | 0.612564 | − | 0.790421i | \(-0.290138\pi\) |
−0.177511 | + | 0.984119i | \(0.556805\pi\) | |||||||
\(332\) | 16.3427 | 0.896924 | ||||||||
\(333\) | 27.8957 | + | 9.44096i | 1.52868 | + | 0.517362i | ||||
\(334\) | −1.33737 | − | 4.11600i | −0.0731775 | − | 0.225217i | ||||
\(335\) | 15.6520 | + | 23.7649i | 0.855162 | + | 1.29841i | ||||
\(336\) | 3.27812 | + | 12.5390i | 0.178836 | + | 0.684061i | ||||
\(337\) | 16.1508 | + | 3.43295i | 0.879789 | + | 0.187005i | 0.625594 | − | 0.780148i | \(-0.284856\pi\) |
0.254194 | + | 0.967153i | \(0.418190\pi\) | |||||||
\(338\) | −4.73597 | − | 1.00666i | −0.257603 | − | 0.0547551i | ||||
\(339\) | −7.29499 | − | 27.9038i | −0.396209 | − | 1.51553i | ||||
\(340\) | −0.814727 | + | 17.7348i | −0.0441848 | + | 0.961803i | ||||
\(341\) | 0.681607 | + | 2.09777i | 0.0369111 | + | 0.113601i | ||||
\(342\) | −0.892903 | − | 4.46764i | −0.0482827 | − | 0.241582i | ||||
\(343\) | 19.8971 | 1.07434 | ||||||||
\(344\) | 10.2471 | + | 4.56231i | 0.552487 | + | 0.245983i | ||||
\(345\) | 1.86737 | + | 17.7049i | 0.100536 | + | 0.953201i | ||||
\(346\) | 6.22463 | − | 2.77138i | 0.334638 | − | 0.148990i | ||||
\(347\) | 0.512906 | − | 0.228361i | 0.0275342 | − | 0.0122590i | −0.392923 | − | 0.919571i | \(-0.628536\pi\) |
0.420458 | + | 0.907312i | \(0.361870\pi\) | |||||||
\(348\) | −0.843519 | + | 0.833309i | −0.0452174 | + | 0.0446700i | ||||
\(349\) | −17.9910 | − | 31.1614i | −0.963037 | − | 1.66803i | −0.714798 | − | 0.699331i | \(-0.753481\pi\) |
−0.248239 | − | 0.968699i | \(-0.579852\pi\) | |||||||
\(350\) | 4.40633 | − | 0.520699i | 0.235528 | − | 0.0278325i | ||||
\(351\) | 1.71115 | + | 0.692971i | 0.0913345 | + | 0.0369880i | ||||
\(352\) | −0.474731 | + | 1.46107i | −0.0253032 | + | 0.0778754i | ||||
\(353\) | −1.37659 | + | 13.0974i | −0.0732685 | + | 0.697103i | 0.894809 | + | 0.446450i | \(0.147312\pi\) |
−0.968077 | + | 0.250653i | \(0.919355\pi\) | |||||||
\(354\) | 3.38839 | + | 6.75141i | 0.180091 | + | 0.358833i | ||||
\(355\) | −4.56914 | − | 0.693488i | −0.242505 | − | 0.0368065i | ||||
\(356\) | −0.379307 | − | 3.60887i | −0.0201033 | − | 0.191270i | ||||
\(357\) | 0.807526 | + | 17.4397i | 0.0427388 | + | 0.923007i | ||||
\(358\) | −2.51190 | − | 1.11837i | −0.132758 | − | 0.0591077i | ||||
\(359\) | 11.4732 | + | 35.3108i | 0.605532 | + | 1.86364i | 0.493093 | + | 0.869976i | \(0.335866\pi\) |
0.112438 | + | 0.993659i | \(0.464134\pi\) | |||||||
\(360\) | −4.36979 | − | 8.69897i | −0.230308 | − | 0.458476i | ||||
\(361\) | −0.832742 | + | 2.56292i | −0.0438285 | + | 0.134890i | ||||
\(362\) | −2.42955 | + | 2.69829i | −0.127694 | + | 0.141819i | ||||
\(363\) | −14.5448 | − | 11.9255i | −0.763406 | − | 0.625929i | ||||
\(364\) | 1.04253 | + | 1.15785i | 0.0546435 | + | 0.0606877i | ||||
\(365\) | −2.29541 | − | 13.9111i | −0.120147 | − | 0.728138i | ||||
\(366\) | −3.26172 | − | 2.67434i | −0.170493 | − | 0.139790i | ||||
\(367\) | 23.4860 | + | 10.4566i | 1.22596 | + | 0.545832i | 0.914561 | − | 0.404448i | \(-0.132536\pi\) |
0.311397 | + | 0.950280i | \(0.399203\pi\) | |||||||
\(368\) | 14.5778 | 0.759918 | ||||||||
\(369\) | −19.4543 | + | 17.0924i | −1.01275 | + | 0.889794i | ||||
\(370\) | −6.95258 | − | 4.45154i | −0.361448 | − | 0.231425i | ||||
\(371\) | 2.73890 | − | 26.0589i | 0.142196 | − | 1.35291i | ||||
\(372\) | −10.4049 | + | 15.8106i | −0.539471 | + | 0.819741i | ||||
\(373\) | −3.11442 | − | 3.45891i | −0.161259 | − | 0.179096i | 0.657101 | − | 0.753803i | \(-0.271783\pi\) |
−0.818359 | + | 0.574707i | \(0.805116\pi\) | |||||||
\(374\) | −0.301366 | + | 0.521981i | −0.0155833 | + | 0.0269910i | ||||
\(375\) | 18.3361 | − | 6.22793i | 0.946873 | − | 0.321609i | ||||
\(376\) | 0.485948 | + | 0.841686i | 0.0250609 | + | 0.0434067i | ||||
\(377\) | −0.0404401 | + | 0.124462i | −0.00208277 | + | 0.00641011i | ||||
\(378\) | −2.44030 | − | 3.91238i | −0.125516 | − | 0.201231i | ||||
\(379\) | 20.4895 | + | 14.8865i | 1.05247 | + | 0.764666i | 0.972681 | − | 0.232145i | \(-0.0745745\pi\) |
0.0797917 | + | 0.996812i | \(0.474574\pi\) | |||||||
\(380\) | 0.770107 | − | 16.7635i | 0.0395056 | − | 0.859950i | ||||
\(381\) | 15.8451 | − | 2.41081i | 0.811770 | − | 0.123510i | ||||
\(382\) | 2.46573 | − | 4.27077i | 0.126158 | − | 0.218512i | ||||
\(383\) | −0.712744 | − | 6.78131i | −0.0364195 | − | 0.346509i | −0.997524 | − | 0.0703242i | \(-0.977597\pi\) |
0.961105 | − | 0.276184i | \(-0.0890701\pi\) | |||||||
\(384\) | −16.2017 | + | 6.10633i | −0.826790 | + | 0.311612i | ||||
\(385\) | −1.85235 | − | 0.697371i | −0.0944046 | − | 0.0355413i | ||||
\(386\) | 1.95251 | − | 6.00922i | 0.0993803 | − | 0.305861i | ||||
\(387\) | 23.0301 | + | 2.70450i | 1.17068 | + | 0.137477i | ||||
\(388\) | −6.46258 | − | 19.8898i | −0.328088 | − | 1.00975i | ||||
\(389\) | 2.17285 | − | 0.461853i | 0.110168 | − | 0.0234169i | −0.152498 | − | 0.988304i | \(-0.548732\pi\) |
0.262666 | + | 0.964887i | \(0.415398\pi\) | |||||||
\(390\) | −0.418794 | − | 0.304039i | −0.0212064 | − | 0.0153956i | ||||
\(391\) | 19.2079 | + | 4.08276i | 0.971383 | + | 0.206474i | ||||
\(392\) | 0.217336 | + | 2.06781i | 0.0109771 | + | 0.104440i | ||||
\(393\) | −23.1832 | + | 14.8554i | −1.16944 | + | 0.749358i | ||||
\(394\) | −3.99405 | − | 1.77827i | −0.201217 | − | 0.0895878i | ||||
\(395\) | 9.69362 | + | 24.7737i | 0.487739 | + | 1.24650i | ||||
\(396\) | −0.0254724 | + | 2.09154i | −0.00128003 | + | 0.105104i | ||||
\(397\) | −18.7858 | − | 13.6487i | −0.942831 | − | 0.685007i | 0.00626974 | − | 0.999980i | \(-0.498004\pi\) |
−0.949100 | + | 0.314974i | \(0.898004\pi\) | |||||||
\(398\) | 2.71484 | − | 0.577058i | 0.136083 | − | 0.0289253i | ||||
\(399\) | −0.763300 | − | 16.4846i | −0.0382128 | − | 0.825262i | ||||
\(400\) | −3.49665 | − | 15.4663i | −0.174833 | − | 0.773313i | ||||
\(401\) | 7.72116 | − | 13.3734i | 0.385576 | − | 0.667837i | −0.606273 | − | 0.795257i | \(-0.707336\pi\) |
0.991849 | + | 0.127419i | \(0.0406694\pi\) | |||||||
\(402\) | −5.89745 | + | 5.82607i | −0.294138 | + | 0.290578i | ||||
\(403\) | −0.218358 | + | 2.07753i | −0.0108772 | + | 0.103489i | ||||
\(404\) | −23.8384 | − | 17.3196i | −1.18601 | − | 0.861684i | ||||
\(405\) | −13.9732 | − | 14.4827i | −0.694334 | − | 0.719653i | ||||
\(406\) | 0.264437 | − | 0.192125i | 0.0131238 | − | 0.00953499i | ||||
\(407\) | 1.84135 | + | 3.18931i | 0.0912722 | + | 0.158088i | ||||
\(408\) | −10.6154 | + | 1.61512i | −0.525542 | + | 0.0799605i | ||||
\(409\) | 26.5034 | + | 5.63347i | 1.31051 | + | 0.278557i | 0.809620 | − | 0.586955i | \(-0.199673\pi\) |
0.500888 | + | 0.865512i | \(0.333007\pi\) | |||||||
\(410\) | 6.44677 | − | 3.33737i | 0.318383 | − | 0.164821i | ||||
\(411\) | −11.7033 | − | 3.21238i | −0.577279 | − | 0.158455i | ||||
\(412\) | 1.76057 | − | 1.95531i | 0.0867371 | − | 0.0963314i | ||||
\(413\) | 8.45511 | + | 26.0221i | 0.416049 | + | 1.28047i | ||||
\(414\) | −4.95176 | + | 1.54251i | −0.243366 | + | 0.0758104i | ||||
\(415\) | −19.6283 | + | 1.15573i | −0.963517 | + | 0.0567323i | ||||
\(416\) | −0.973550 | + | 1.08124i | −0.0477322 | + | 0.0530120i | ||||
\(417\) | 10.1016 | − | 25.8441i | 0.494677 | − | 1.26559i | ||||
\(418\) | 0.284861 | − | 0.493394i | 0.0139330 | − | 0.0241327i | ||||
\(419\) | −1.68365 | − | 16.0188i | −0.0822516 | − | 0.782572i | −0.955439 | − | 0.295188i | \(-0.904618\pi\) |
0.873188 | − | 0.487384i | \(-0.162049\pi\) | |||||||
\(420\) | −5.25422 | − | 16.1508i | −0.256380 | − | 0.788080i | ||||
\(421\) | −1.78347 | + | 16.9686i | −0.0869212 | + | 0.827000i | 0.861024 | + | 0.508565i | \(0.169824\pi\) |
−0.947945 | + | 0.318435i | \(0.896843\pi\) | |||||||
\(422\) | 3.38077 | + | 2.45627i | 0.164573 | + | 0.119570i | ||||
\(423\) | 1.47663 | + | 1.36248i | 0.0717960 | + | 0.0662463i | ||||
\(424\) | 16.1155 | 0.782639 | ||||||||
\(425\) | −0.275646 | − | 21.3579i | −0.0133708 | − | 1.03601i | ||||
\(426\) | −0.0622739 | − | 1.34490i | −0.00301718 | − | 0.0651604i | ||||
\(427\) | −10.2228 | − | 11.3536i | −0.494717 | − | 0.549439i | ||||
\(428\) | −13.5430 | + | 6.02972i | −0.654624 | + | 0.291458i | ||||
\(429\) | 0.103553 | + | 0.206331i | 0.00499959 | + | 0.00996175i | ||||
\(430\) | −6.08344 | − | 2.29028i | −0.293369 | − | 0.110447i | ||||
\(431\) | 8.91750 | − | 6.47894i | 0.429541 | − | 0.312080i | −0.351925 | − | 0.936028i | \(-0.614473\pi\) |
0.781465 | + | 0.623949i | \(0.214473\pi\) | |||||||
\(432\) | −12.9936 | + | 10.1347i | −0.625155 | + | 0.487606i | ||||
\(433\) | 14.8065 | − | 10.7575i | 0.711555 | − | 0.516975i | −0.172120 | − | 0.985076i | \(-0.555062\pi\) |
0.883675 | + | 0.468101i | \(0.155062\pi\) | |||||||
\(434\) | 3.49124 | − | 3.87741i | 0.167585 | − | 0.186122i | ||||
\(435\) | 0.954173 | − | 1.06049i | 0.0457491 | − | 0.0508467i | ||||
\(436\) | −10.9876 | − | 12.2030i | −0.526211 | − | 0.584416i | ||||
\(437\) | −18.1559 | − | 3.85916i | −0.868515 | − | 0.184609i | ||||
\(438\) | 3.84348 | − | 1.44859i | 0.183649 | − | 0.0692161i | ||||
\(439\) | 20.6213 | − | 4.38319i | 0.984200 | − | 0.209198i | 0.312416 | − | 0.949945i | \(-0.398862\pi\) |
0.671784 | + | 0.740747i | \(0.265528\pi\) | |||||||
\(440\) | 0.307475 | − | 1.17786i | 0.0146583 | − | 0.0561524i | ||||
\(441\) | 1.70032 | + | 3.94768i | 0.0809678 | + | 0.187985i | ||||
\(442\) | −0.461810 | + | 0.335525i | −0.0219661 | + | 0.0159593i | ||||
\(443\) | −15.9033 | − | 27.5452i | −0.755586 | − | 1.30871i | −0.945082 | − | 0.326833i | \(-0.894019\pi\) |
0.189496 | − | 0.981882i | \(-0.439315\pi\) | |||||||
\(444\) | −11.5042 | + | 29.4325i | −0.545964 | + | 1.39680i | ||||
\(445\) | 0.710777 | + | 4.30758i | 0.0336940 | + | 0.204199i | ||||
\(446\) | 1.03918 | − | 0.462673i | 0.0492066 | − | 0.0219082i | ||||
\(447\) | 19.3657 | + | 1.13320i | 0.915966 | + | 0.0535983i | ||||
\(448\) | −11.0839 | + | 2.35595i | −0.523663 | + | 0.111308i | ||||
\(449\) | −14.3360 | −0.676559 | −0.338280 | − | 0.941046i | \(-0.609845\pi\) | ||||
−0.338280 | + | 0.941046i | \(0.609845\pi\) | |||||||
\(450\) | 2.82427 | + | 4.88358i | 0.133137 | + | 0.230214i | ||||
\(451\) | −3.23831 | −0.152486 | ||||||||
\(452\) | 30.2718 | − | 6.43447i | 1.42387 | − | 0.302652i | ||||
\(453\) | 3.29110 | − | 5.00091i | 0.154629 | − | 0.234963i | ||||
\(454\) | −3.14323 | + | 1.39945i | −0.147519 | + | 0.0656796i | ||||
\(455\) | −1.33401 | − | 1.31690i | −0.0625392 | − | 0.0617373i | ||||
\(456\) | 10.0341 | − | 1.52667i | 0.469888 | − | 0.0714928i | ||||
\(457\) | −11.2914 | − | 19.5574i | −0.528191 | − | 0.914854i | −0.999460 | − | 0.0328645i | \(-0.989537\pi\) |
0.471268 | − | 0.881990i | \(-0.343796\pi\) | |||||||
\(458\) | −8.96789 | + | 6.51556i | −0.419042 | + | 0.304452i | ||||
\(459\) | −19.9590 | + | 9.71454i | −0.931605 | + | 0.453436i | ||||
\(460\) | −19.0704 | + | 1.12287i | −0.889160 | + | 0.0523541i | ||||
\(461\) | 25.8932 | − | 5.50378i | 1.20597 | − | 0.256337i | 0.439277 | − | 0.898352i | \(-0.355235\pi\) |
0.766692 | + | 0.642015i | \(0.221901\pi\) | |||||||
\(462\) | 0.0936675 | − | 0.568949i | 0.00435780 | − | 0.0264699i | ||||
\(463\) | −5.61991 | − | 1.19455i | −0.261179 | − | 0.0555154i | 0.0754608 | − | 0.997149i | \(-0.475957\pi\) |
−0.336640 | + | 0.941633i | \(0.609291\pi\) | |||||||
\(464\) | −0.781622 | − | 0.868080i | −0.0362859 | − | 0.0402996i | ||||
\(465\) | 11.3787 | − | 19.7250i | 0.527674 | − | 0.914726i | ||||
\(466\) | 2.05153 | − | 2.27846i | 0.0950354 | − | 0.105547i | ||||
\(467\) | −14.6975 | + | 10.6783i | −0.680118 | + | 0.494135i | −0.873397 | − | 0.487009i | \(-0.838088\pi\) |
0.193279 | + | 0.981144i | \(0.438088\pi\) | |||||||
\(468\) | −0.827715 | + | 1.79977i | −0.0382611 | + | 0.0831943i | ||||
\(469\) | −24.2924 | + | 17.6494i | −1.12172 | + | 0.814975i | ||||
\(470\) | −0.309795 | − | 0.470369i | −0.0142898 | − | 0.0216965i | ||||
\(471\) | −3.04893 | − | 0.178410i | −0.140487 | − | 0.00822071i | ||||
\(472\) | −15.3734 | + | 6.84468i | −0.707618 | + | 0.315052i | ||||
\(473\) | 1.94026 | + | 2.15488i | 0.0892134 | + | 0.0990816i | ||||
\(474\) | −6.52525 | + | 4.18128i | −0.299715 | + | 0.192053i | ||||
\(475\) | 0.260550 | + | 20.1882i | 0.0119548 | + | 0.926296i | ||||
\(476\) | −18.7335 | −0.858648 | ||||||||
\(477\) | 31.8077 | − | 9.90835i | 1.45637 | − | 0.453672i | ||||
\(478\) | 1.44317 | + | 1.04852i | 0.0660090 | + | 0.0479583i | ||||
\(479\) | 0.0346271 | − | 0.329455i | 0.00158215 | − | 0.0150532i | −0.993702 | − | 0.112052i | \(-0.964258\pi\) |
0.995284 | + | 0.0969989i | \(0.0309243\pi\) | |||||||
\(480\) | 14.4867 | − | 6.45620i | 0.661224 | − | 0.294684i | ||||
\(481\) | 0.364571 | + | 3.46866i | 0.0166230 | + | 0.158157i | ||||
\(482\) | −4.70591 | + | 8.15088i | −0.214348 | + | 0.371262i | ||||
\(483\) | −18.5721 | + | 2.82572i | −0.845061 | + | 0.128575i | ||||
\(484\) | 13.5047 | − | 14.9985i | 0.613852 | − | 0.681751i | ||||
\(485\) | 9.16841 | + | 23.4315i | 0.416316 | + | 1.06397i | ||||
\(486\) | 3.34128 | − | 4.81744i | 0.151564 | − | 0.218524i | ||||
\(487\) | −6.16698 | − | 18.9800i | −0.279452 | − | 0.860066i | −0.988007 | − | 0.154410i | \(-0.950652\pi\) |
0.708555 | − | 0.705656i | \(-0.249348\pi\) | |||||||
\(488\) | 6.28744 | − | 6.98291i | 0.284619 | − | 0.316102i | ||||
\(489\) | −10.2824 | + | 10.1579i | −0.464985 | + | 0.459356i | ||||
\(490\) | −0.196166 | − | 1.18884i | −0.00886188 | − | 0.0537065i | ||||
\(491\) | −35.3373 | − | 7.51118i | −1.59475 | − | 0.338975i | −0.676954 | − | 0.736025i | \(-0.736701\pi\) |
−0.917797 | + | 0.397050i | \(0.870034\pi\) | |||||||
\(492\) | −17.3555 | − | 21.7012i | −0.782448 | − | 0.978364i | ||||
\(493\) | −0.786756 | − | 1.36270i | −0.0354337 | − | 0.0613730i | ||||
\(494\) | 0.436519 | − | 0.317149i | 0.0196399 | − | 0.0142692i | ||||
\(495\) | −0.117316 | − | 2.51383i | −0.00527296 | − | 0.112988i | ||||
\(496\) | −15.0851 | − | 10.9600i | −0.677340 | − | 0.492117i | ||||
\(497\) | 0.509741 | − | 4.84986i | 0.0228650 | − | 0.217546i | ||||
\(498\) | −1.44882 | − | 5.54183i | −0.0649231 | − | 0.248335i | ||||
\(499\) | −13.7067 | + | 23.7407i | −0.613596 | + | 1.06278i | 0.377033 | + | 0.926200i | \(0.376944\pi\) |
−0.990629 | + | 0.136579i | \(0.956389\pi\) | |||||||
\(500\) | 5.76557 | + | 19.9633i | 0.257844 | + | 0.892788i | ||||
\(501\) | 16.7814 | − | 10.7533i | 0.749737 | − | 0.480420i | ||||
\(502\) | −7.60696 | + | 1.61691i | −0.339515 | + | 0.0721662i | ||||
\(503\) | −1.33405 | − | 0.969242i | −0.0594822 | − | 0.0432164i | 0.557647 | − | 0.830078i | \(-0.311704\pi\) |
−0.617129 | + | 0.786862i | \(0.711704\pi\) | |||||||
\(504\) | 8.95788 | − | 5.02739i | 0.399016 | − | 0.223938i | ||||
\(505\) | 29.8558 | + | 19.1158i | 1.32857 | + | 0.850643i | ||||
\(506\) | −0.592490 | − | 0.263794i | −0.0263394 | − | 0.0117271i | ||||
\(507\) | −1.03138 | − | 22.2742i | −0.0458051 | − | 0.989230i | ||||
\(508\) | 1.79768 | + | 17.1038i | 0.0797594 | + | 0.758860i | ||||
\(509\) | −24.1747 | − | 5.13850i | −1.07153 | − | 0.227760i | −0.361813 | − | 0.932251i | \(-0.617842\pi\) |
−0.709713 | + | 0.704491i | \(0.751176\pi\) | |||||||
\(510\) | 6.08610 | − | 1.29595i | 0.269497 | − | 0.0573857i | ||||
\(511\) | 14.5523 | − | 3.09319i | 0.643757 | − | 0.136835i | ||||
\(512\) | −6.85745 | − | 21.1051i | −0.303059 | − | 0.932721i | ||||
\(513\) | 18.8659 | − | 9.18251i | 0.832949 | − | 0.405418i | ||||
\(514\) | 0.0464812 | − | 0.143054i | 0.00205020 | − | 0.00630986i | ||||
\(515\) | −1.97625 | + | 2.47292i | −0.0870839 | + | 0.108970i | ||||
\(516\) | −4.04196 | + | 24.5514i | −0.177937 | + | 1.08082i | ||||
\(517\) | 0.0262623 | + | 0.249869i | 0.00115502 | + | 0.0109892i | ||||
\(518\) | 4.35565 | − | 7.54420i | 0.191376 | − | 0.331473i | ||||
\(519\) | 19.5989 | + | 24.5062i | 0.860295 | + | 1.07570i | ||||
\(520\) | 0.719747 | − | 0.900634i | 0.0315630 | − | 0.0394954i | ||||
\(521\) | 0.868044 | + | 0.630671i | 0.0380297 | + | 0.0276302i | 0.606638 | − | 0.794978i | \(-0.292518\pi\) |
−0.568608 | + | 0.822609i | \(0.692518\pi\) | |||||||
\(522\) | 0.357355 | + | 0.212163i | 0.0156410 | + | 0.00928612i | ||||
\(523\) | −4.86221 | + | 14.9643i | −0.212610 | + | 0.654345i | 0.786705 | + | 0.617329i | \(0.211785\pi\) |
−0.999315 | + | 0.0370160i | \(0.988215\pi\) | |||||||
\(524\) | −14.7727 | − | 25.5871i | −0.645349 | − | 1.11778i | ||||
\(525\) | 7.45270 | + | 19.0263i | 0.325263 | + | 0.830376i | ||||
\(526\) | 0.502166 | − | 0.869777i | 0.0218955 | − | 0.0379241i | ||||
\(527\) | −16.8068 | − | 18.6658i | −0.732116 | − | 0.813097i | ||||
\(528\) | −2.05712 | − | 0.120374i | −0.0895247 | − | 0.00523859i | ||||
\(529\) | 0.195459 | − | 1.85967i | 0.00849823 | − | 0.0808553i | ||||
\(530\) | −9.32295 | + | 0.548939i | −0.404963 | + | 0.0238444i | ||||
\(531\) | −26.1346 | + | 22.9616i | −1.13415 | + | 0.996450i | ||||
\(532\) | 17.7075 | 0.767718 | ||||||||
\(533\) | −2.80176 | − | 1.24742i | −0.121358 | − | 0.0540319i | ||||
\(534\) | −1.19014 | + | 0.448557i | −0.0515025 | + | 0.0194110i | ||||
\(535\) | 15.8393 | − | 8.19969i | 0.684792 | − | 0.354503i | ||||
\(536\) | −12.3574 | − | 13.7242i | −0.533757 | − | 0.592797i | ||||
\(537\) | 2.05704 | − | 12.4947i | 0.0887677 | − | 0.539187i | ||||
\(538\) | 4.72214 | − | 5.24447i | 0.203586 | − | 0.226105i | ||||
\(539\) | −0.166096 | + | 0.511190i | −0.00715425 | + | 0.0220185i | ||||
\(540\) | 16.2174 | − | 14.2589i | 0.697885 | − | 0.613605i | ||||
\(541\) | 5.82440 | + | 17.9257i | 0.250410 | + | 0.770684i | 0.994699 | + | 0.102826i | \(0.0327886\pi\) |
−0.744289 | + | 0.667858i | \(0.767211\pi\) | |||||||
\(542\) | −4.59025 | − | 2.04371i | −0.197168 | − | 0.0877848i | ||||
\(543\) | −14.8525 | − | 7.68203i | −0.637384 | − | 0.329667i | ||||
\(544\) | −1.82861 | − | 17.3981i | −0.0784012 | − | 0.745937i | ||||
\(545\) | 14.0596 | + | 13.8793i | 0.602245 | + | 0.594523i | ||||
\(546\) | 0.300204 | − | 0.456168i | 0.0128475 | − | 0.0195222i | ||||
\(547\) | 0.239907 | − | 2.28257i | 0.0102577 | − | 0.0975955i | −0.988195 | − | 0.153200i | \(-0.951042\pi\) |
0.998453 | + | 0.0556048i | \(0.0177087\pi\) | |||||||
\(548\) | 4.02417 | − | 12.3851i | 0.171904 | − | 0.529067i | ||||
\(549\) | 8.11639 | − | 17.6481i | 0.346399 | − | 0.753203i | ||||
\(550\) | −0.137755 | + | 0.691876i | −0.00587391 | + | 0.0295017i | ||||
\(551\) | 0.743668 | + | 1.28807i | 0.0316813 | + | 0.0548737i | ||||
\(552\) | −2.92240 | − | 11.1784i | −0.124385 | − | 0.475782i | ||||
\(553\) | −25.6443 | + | 11.4176i | −1.09051 | + | 0.485525i | ||||
\(554\) | −7.82379 | + | 3.48337i | −0.332401 | + | 0.147994i | ||||
\(555\) | 11.7356 | − | 36.1632i | 0.498149 | − | 1.53504i | ||||
\(556\) | 27.2006 | + | 12.1105i | 1.15356 | + | 0.513599i | ||||
\(557\) | 26.8111 | 1.13602 | 0.568012 | − | 0.823020i | \(-0.307713\pi\) | ||||
0.568012 | + | 0.823020i | \(0.307713\pi\) | |||||||
\(558\) | 6.28380 | + | 2.12667i | 0.266014 | + | 0.0900293i | ||||
\(559\) | 0.848622 | + | 2.61179i | 0.0358929 | + | 0.110467i | ||||
\(560\) | 16.1335 | − | 4.43473i | 0.681764 | − | 0.187401i | ||||
\(561\) | −2.67678 | − | 0.734739i | −0.113014 | − | 0.0310207i | ||||
\(562\) | 3.30124 | + | 0.701700i | 0.139254 | + | 0.0295994i | ||||
\(563\) | −20.7742 | − | 4.41570i | −0.875529 | − | 0.186100i | −0.251837 | − | 0.967770i | \(-0.581035\pi\) |
−0.623692 | + | 0.781670i | \(0.714368\pi\) | |||||||
\(564\) | −1.53372 | + | 1.51515i | −0.0645812 | + | 0.0637995i | ||||
\(565\) | −35.9027 | + | 9.86884i | −1.51044 | + | 0.415185i | ||||
\(566\) | 0.755716 | + | 2.32586i | 0.0317651 | + | 0.0977630i | ||||
\(567\) | 14.5894 | − | 15.4303i | 0.612699 | − | 0.648012i | ||||
\(568\) | 2.99928 | 0.125847 | ||||||||
\(569\) | 37.4475 | + | 16.6727i | 1.56988 | + | 0.698955i | 0.993026 | − | 0.117893i | \(-0.0376140\pi\) |
0.576853 | + | 0.816848i | \(0.304281\pi\) | |||||||
\(570\) | −5.75278 | + | 1.22498i | −0.240958 | + | 0.0513087i | ||||
\(571\) | 40.3376 | − | 17.9594i | 1.68807 | − | 0.751579i | 0.688420 | − | 0.725312i | \(-0.258305\pi\) |
0.999655 | − | 0.0262671i | \(-0.00836204\pi\) | |||||||
\(572\) | −0.226303 | + | 0.100757i | −0.00946220 | + | 0.00421284i | ||||
\(573\) | 21.9010 | + | 6.01153i | 0.914928 | + | 0.251135i | ||||
\(574\) | 3.83006 | + | 6.63386i | 0.159864 | + | 0.276892i | ||||
\(575\) | 22.8249 | − | 2.69723i | 0.951865 | − | 0.112482i | ||||
\(576\) | −8.32593 | − | 11.7582i | −0.346914 | − | 0.489923i | ||||
\(577\) | −1.18692 | + | 3.65297i | −0.0494122 | + | 0.152075i | −0.972718 | − | 0.231990i | \(-0.925476\pi\) |
0.923306 | + | 0.384065i | \(0.125476\pi\) | |||||||
\(578\) | 0.0491159 | − | 0.467307i | 0.00204295 | − | 0.0194374i | ||||
\(579\) | 29.0490 | + | 1.69982i | 1.20724 | + | 0.0706421i | ||||
\(580\) | 1.08937 | + | 1.07540i | 0.0452336 | + | 0.0446536i | ||||
\(581\) | −2.16873 | − | 20.6340i | −0.0899739 | − | 0.856044i | ||||
\(582\) | −6.17171 | + | 3.95474i | −0.255826 | + | 0.163929i | ||||
\(583\) | 3.80586 | + | 1.69448i | 0.157623 | + | 0.0701782i | ||||
\(584\) | 2.82757 | + | 8.70237i | 0.117006 | + | 0.360107i | ||||
\(585\) | 0.866846 | − | 2.22013i | 0.0358397 | − | 0.0917912i | ||||
\(586\) | 1.99186 | − | 6.13031i | 0.0822830 | − | 0.253241i | ||||
\(587\) | −26.5121 | + | 29.4447i | −1.09427 | + | 1.21531i | −0.119332 | + | 0.992854i | \(0.538075\pi\) |
−0.974942 | + | 0.222459i | \(0.928592\pi\) | |||||||
\(588\) | −4.31586 | + | 1.62662i | −0.177983 | + | 0.0670807i | ||||
\(589\) | 15.8863 | + | 17.6436i | 0.654586 | + | 0.726991i | ||||
\(590\) | 8.66048 | − | 4.48336i | 0.356546 | − | 0.184577i | ||||
\(591\) | 3.27080 | − | 19.8673i | 0.134543 | − | 0.817231i | ||||
\(592\) | −28.4403 | − | 12.6624i | −1.16889 | − | 0.520423i | ||||
\(593\) | −23.7687 | −0.976065 | −0.488033 | − | 0.872825i | \(-0.662285\pi\) | ||||
−0.488033 | + | 0.872825i | \(0.662285\pi\) | |||||||
\(594\) | 0.711499 | − | 0.176782i | 0.0291932 | − | 0.00725344i | ||||
\(595\) | 22.4997 | − | 1.32479i | 0.922399 | − | 0.0543113i | ||||
\(596\) | −2.17582 | + | 20.7016i | −0.0891252 | + | 0.847970i | ||||
\(597\) | 5.73350 | + | 11.4241i | 0.234657 | + | 0.467556i | ||||
\(598\) | −0.411002 | − | 0.456464i | −0.0168071 | − | 0.0186662i | ||||
\(599\) | −21.3498 | + | 36.9790i | −0.872330 | + | 1.51092i | −0.0127494 | + | 0.999919i | \(0.504058\pi\) |
−0.859580 | + | 0.511001i | \(0.829275\pi\) | |||||||
\(600\) | −11.1587 | + | 5.78178i | −0.455552 | + | 0.236040i | ||||
\(601\) | 15.2463 | + | 26.4074i | 0.621910 | + | 1.07718i | 0.989130 | + | 0.147045i | \(0.0469764\pi\) |
−0.367220 | + | 0.930134i | \(0.619690\pi\) | |||||||
\(602\) | 2.11958 | − | 6.52338i | 0.0863875 | − | 0.265873i | ||||
\(603\) | −32.8282 | − | 19.4902i | −1.33687 | − | 0.793704i | ||||
\(604\) | 5.19707 | + | 3.77589i | 0.211466 | + | 0.153639i | ||||
\(605\) | −15.1591 | + | 18.9689i | −0.616305 | + | 0.771196i | ||||
\(606\) | −3.75976 | + | 9.61904i | −0.152730 | + | 0.390747i | ||||
\(607\) | 13.5546 | − | 23.4772i | 0.550163 | − | 0.952910i | −0.448099 | − | 0.893984i | \(-0.647899\pi\) |
0.998262 | − | 0.0589263i | \(-0.0187677\pi\) | |||||||
\(608\) | 1.72847 | + | 16.4453i | 0.0700986 | + | 0.666943i | ||||
\(609\) | 1.16406 | + | 0.954429i | 0.0471700 | + | 0.0386754i | ||||
\(610\) | −3.39948 | + | 4.25384i | −0.137641 | + | 0.172233i | ||||
\(611\) | −0.0735297 | + | 0.226301i | −0.00297469 | + | 0.00915517i | ||||
\(612\) | −9.42227 | − | 21.8759i | −0.380873 | − | 0.884282i | ||||
\(613\) | 6.76831 | + | 20.8307i | 0.273370 | + | 0.841345i | 0.989646 | + | 0.143529i | \(0.0458449\pi\) |
−0.716277 | + | 0.697816i | \(0.754155\pi\) | |||||||
\(614\) | −8.36797 | + | 1.77867i | −0.337704 | + | 0.0717811i | ||||
\(615\) | 22.3794 | + | 24.8367i | 0.902425 | + | 1.00151i | ||||
\(616\) | 1.25646 | + | 0.267069i | 0.0506242 | + | 0.0107605i | ||||
\(617\) | 2.94074 | + | 27.9793i | 0.118390 | + | 1.12640i | 0.878876 | + | 0.477050i | \(0.158294\pi\) |
−0.760486 | + | 0.649354i | \(0.775039\pi\) | |||||||
\(618\) | −0.819126 | − | 0.423668i | −0.0329501 | − | 0.0170424i | ||||
\(619\) | −33.5139 | − | 14.9214i | −1.34704 | − | 0.599740i | −0.398723 | − | 0.917071i | \(-0.630546\pi\) |
−0.948315 | + | 0.317332i | \(0.897213\pi\) | |||||||
\(620\) | 20.5782 | + | 13.1757i | 0.826442 | + | 0.529148i | ||||
\(621\) | −12.6408 | − | 20.2663i | −0.507259 | − | 0.813257i | ||||
\(622\) | 4.37705 | + | 3.18011i | 0.175504 | + | 0.127511i | ||||
\(623\) | −4.50616 | + | 0.957813i | −0.180535 | + | 0.0383740i | ||||
\(624\) | −1.73343 | − | 0.896566i | −0.0693929 | − | 0.0358914i | ||||
\(625\) | −8.33647 | − | 23.5691i | −0.333459 | − | 0.942765i | ||||
\(626\) | 0.486357 | − | 0.842395i | 0.0194387 | − | 0.0336689i | ||||
\(627\) | 2.53018 | + | 0.694500i | 0.101046 | + | 0.0277357i | ||||
\(628\) | 0.342562 | − | 3.25926i | 0.0136697 | − | 0.130059i | ||||
\(629\) | −33.9270 | − | 24.6494i | −1.35276 | − | 0.982837i | ||||
\(630\) | −5.01096 | + | 3.21351i | −0.199641 | + | 0.128029i | ||||
\(631\) | −9.47939 | + | 6.88718i | −0.377369 | + | 0.274174i | −0.760260 | − | 0.649619i | \(-0.774928\pi\) |
0.382891 | + | 0.923793i | \(0.374928\pi\) | |||||||
\(632\) | −8.63244 | − | 14.9518i | −0.343380 | − | 0.594752i | ||||
\(633\) | −7.00610 | + | 17.9245i | −0.278467 | + | 0.712436i | ||||
\(634\) | 5.70708 | + | 1.21308i | 0.226657 | + | 0.0481775i | ||||
\(635\) | −3.36865 | − | 20.4153i | −0.133681 | − | 0.810157i | ||||
\(636\) | 9.04194 | + | 34.5860i | 0.358536 | + | 1.37142i | ||||
\(637\) | −0.340619 | + | 0.378296i | −0.0134958 | + | 0.0149886i | ||||
\(638\) | 0.0160594 | + | 0.0494257i | 0.000635797 | + | 0.00195678i | ||||
\(639\) | 5.91978 | − | 1.84406i | 0.234183 | − | 0.0729499i | ||||
\(640\) | 8.14493 | + | 20.8158i | 0.321957 | + | 0.822817i | ||||
\(641\) | −18.9229 | + | 21.0160i | −0.747410 | + | 0.830083i | −0.990150 | − | 0.140009i | \(-0.955287\pi\) |
0.242741 | + | 0.970091i | \(0.421954\pi\) | |||||||
\(642\) | 3.24529 | + | 4.05788i | 0.128082 | + | 0.160152i | ||||
\(643\) | −24.9228 | + | 43.1676i | −0.982861 | + | 1.70237i | −0.331780 | + | 0.943357i | \(0.607649\pi\) |
−0.651081 | + | 0.759009i | \(0.725684\pi\) | |||||||
\(644\) | −2.10707 | − | 20.0475i | −0.0830303 | − | 0.789981i | ||||
\(645\) | 3.11834 | − | 29.7732i | 0.122785 | − | 1.17232i | ||||
\(646\) | −0.678141 | + | 6.45208i | −0.0266811 | + | 0.253854i | ||||
\(647\) | −36.4560 | − | 26.4868i | −1.43323 | − | 1.04131i | −0.989403 | − | 0.145194i | \(-0.953619\pi\) |
−0.443830 | − | 0.896111i | \(-0.646381\pi\) | |||||||
\(648\) | 10.3762 | + | 7.93192i | 0.407616 | + | 0.311595i | ||||
\(649\) | −4.35029 | −0.170764 | ||||||||
\(650\) | −0.385701 | + | 0.545540i | −0.0151284 | + | 0.0213979i | ||||
\(651\) | 21.3429 | + | 11.0390i | 0.836495 | + | 0.432652i | ||||
\(652\) | −10.3778 | − | 11.5257i | −0.406426 | − | 0.451381i | ||||
\(653\) | 39.5029 | − | 17.5878i | 1.54587 | − | 0.688265i | 0.556123 | − | 0.831100i | \(-0.312288\pi\) |
0.989747 | + | 0.142835i | \(0.0456217\pi\) | |||||||
\(654\) | −3.16395 | + | 4.80772i | −0.123720 | + | 0.187997i | ||||
\(655\) | 19.5521 | + | 29.6865i | 0.763965 | + | 1.15995i | ||||
\(656\) | 22.1470 | − | 16.0907i | 0.864694 | − | 0.628237i | ||||
\(657\) | 10.9314 | + | 15.4376i | 0.426473 | + | 0.602280i | ||||
\(658\) | 0.480809 | − | 0.349328i | 0.0187439 | − | 0.0136182i | ||||
\(659\) | −22.7712 | + | 25.2900i | −0.887039 | + | 0.985157i | −0.999964 | − | 0.00844655i | \(-0.997311\pi\) |
0.112925 | + | 0.993604i | \(0.463978\pi\) | |||||||
\(660\) | 2.70036 | 0.000981808i | 0.105111 | 3.82168e-5i | ||||||
\(661\) | −2.00144 | − | 2.22282i | −0.0778469 | − | 0.0864577i | 0.702963 | − | 0.711226i | \(-0.251860\pi\) |
−0.780810 | + | 0.624769i | \(0.785193\pi\) | |||||||
\(662\) | 3.18734 | + | 0.677491i | 0.123880 | + | 0.0263314i | ||||
\(663\) | −2.03290 | − | 1.66681i | −0.0789513 | − | 0.0647334i | ||||
\(664\) | 12.4818 | − | 2.65309i | 0.484388 | − | 0.102960i | ||||
\(665\) | −21.2675 | + | 1.25224i | −0.824718 | + | 0.0485598i | ||||
\(666\) | 11.0004 | + | 1.29182i | 0.426258 | + | 0.0500569i | ||||
\(667\) | 1.36979 | − | 0.995212i | 0.0530385 | − | 0.0385347i | ||||
\(668\) | 10.6934 | + | 18.5215i | 0.413739 | + | 0.716617i | ||||
\(669\) | 3.27196 | + | 4.09123i | 0.126501 | + | 0.158176i | ||||
\(670\) | 7.61632 | + | 7.51865i | 0.294244 | + | 0.290471i | ||||
\(671\) | 2.21908 | − | 0.987996i | 0.0856665 | − | 0.0381412i | ||||
\(672\) | 7.50691 | + | 14.9576i | 0.289585 | + | 0.577002i | ||||
\(673\) | 6.93118 | − | 1.47327i | 0.267178 | − | 0.0567903i | −0.0723748 | − | 0.997378i | \(-0.523058\pi\) |
0.339552 | + | 0.940587i | \(0.389724\pi\) | |||||||
\(674\) | 6.20994 | 0.239198 | ||||||||
\(675\) | −18.4694 | + | 18.2724i | −0.710888 | + | 0.703305i | ||||
\(676\) | 23.9266 | 0.920253 | ||||||||
\(677\) | 35.2596 | − | 7.49466i | 1.35514 | − | 0.288043i | 0.527618 | − | 0.849482i | \(-0.323085\pi\) |
0.827519 | + | 0.561438i | \(0.189752\pi\) | |||||||
\(678\) | −4.86559 | − | 9.69474i | −0.186862 | − | 0.372324i | ||||
\(679\) | −24.2549 | + | 10.7990i | −0.930817 | + | 0.414426i | ||||
\(680\) | 2.25682 | + | 13.6772i | 0.0865453 | + | 0.524498i | ||||
\(681\) | −9.89676 | − | 12.3748i | −0.379245 | − | 0.474203i | ||||
\(682\) | 0.414783 | + | 0.718424i | 0.0158828 | + | 0.0275099i | ||||
\(683\) | 21.8805 | − | 15.8971i | 0.837236 | − | 0.608287i | −0.0843615 | − | 0.996435i | \(-0.526885\pi\) |
0.921597 | + | 0.388148i | \(0.126885\pi\) | |||||||
\(684\) | 8.90625 | + | 20.6779i | 0.340539 | + | 0.790637i | ||||
\(685\) | −3.95736 | + | 15.1597i | −0.151203 | + | 0.579221i | ||||
\(686\) | 7.31969 | − | 1.55585i | 0.279467 | − | 0.0594026i | ||||
\(687\) | −39.4769 | − | 32.3677i | −1.50614 | − | 1.23491i | ||||
\(688\) | −23.9769 | − | 5.09644i | −0.914110 | − | 0.194300i | ||||
\(689\) | 2.64007 | + | 2.93210i | 0.100579 | + | 0.111704i | ||||
\(690\) | 2.07139 | + | 6.36722i | 0.0788566 | + | 0.242396i | ||||
\(691\) | −8.47233 | + | 9.40948i | −0.322303 | + | 0.357953i | −0.882422 | − | 0.470458i | \(-0.844089\pi\) |
0.560119 | + | 0.828412i | \(0.310755\pi\) | |||||||
\(692\) | −27.2406 | + | 19.7915i | −1.03553 | + | 0.752359i | ||||
\(693\) | 2.64412 | − | 0.245392i | 0.100442 | − | 0.00932166i | ||||
\(694\) | 0.170830 | − | 0.124115i | 0.00648462 | − | 0.00471135i | ||||
\(695\) | −33.5255 | − | 12.6216i | −1.27169 | − | 0.478766i | ||||
\(696\) | −0.508960 | + | 0.773379i | −0.0192921 | + | 0.0293148i | ||||
\(697\) | 33.6877 | − | 14.9987i | 1.27601 | − | 0.568117i | ||||
\(698\) | −9.05514 | − | 10.0568i | −0.342742 | − | 0.380654i | ||||
\(699\) | 12.5416 | + | 6.48675i | 0.474367 | + | 0.245352i | ||||
\(700\) | −20.7639 | + | 7.04413i | −0.784803 | + | 0.266243i | ||||
\(701\) | 38.2015 | 1.44285 | 0.721426 | − | 0.692492i | \(-0.243487\pi\) | ||||
0.721426 | + | 0.692492i | \(0.243487\pi\) | |||||||
\(702\) | 0.683680 | + | 0.121125i | 0.0258038 | + | 0.00457157i | ||||
\(703\) | 32.0690 | + | 23.2995i | 1.20950 | + | 0.878756i | ||||
\(704\) | 0.188323 | − | 1.79177i | 0.00709768 | − | 0.0675299i | ||||
\(705\) | 1.73491 | − | 1.92823i | 0.0653406 | − | 0.0726212i | ||||
\(706\) | 0.517730 | + | 4.92587i | 0.0194850 | + | 0.185388i | ||||
\(707\) | −18.7040 | + | 32.3963i | −0.703437 | + | 1.21839i | ||||
\(708\) | −23.3151 | − | 29.1530i | −0.876237 | − | 1.09564i | ||||
\(709\) | 26.4187 | − | 29.3409i | 0.992175 | − | 1.10192i | −0.00261676 | − | 0.999997i | \(-0.500833\pi\) |
0.994792 | − | 0.101926i | \(-0.0325004\pi\) | |||||||
\(710\) | −1.73511 | + | 0.102164i | −0.0651175 | + | 0.00383415i | ||||
\(711\) | −26.2310 | − | 24.2034i | −0.983739 | − | 0.907697i | ||||
\(712\) | −0.875563 | − | 2.69470i | −0.0328131 | − | 0.100988i | ||||
\(713\) | 18.0847 | − | 20.0851i | 0.677278 | − | 0.752194i | ||||
\(714\) | 1.66076 | + | 6.35253i | 0.0621525 | + | 0.237737i | ||||
\(715\) | 0.264674 | − | 0.137017i | 0.00989826 | − | 0.00512413i | ||||
\(716\) | 13.2908 | + | 2.82506i | 0.496702 | + | 0.105577i | ||||
\(717\) | −2.99073 | + | 7.65154i | −0.111691 | + | 0.285752i | ||||
\(718\) | 6.98185 | + | 12.0929i | 0.260560 | + | 0.451304i | ||||
\(719\) | 8.24606 | − | 5.99111i | 0.307526 | − | 0.223431i | −0.423308 | − | 0.905986i | \(-0.639131\pi\) |
0.730834 | + | 0.682555i | \(0.239131\pi\) | |||||||
\(720\) | 13.2932 | + | 16.6093i | 0.495408 | + | 0.618991i | ||||
\(721\) | −2.70238 | − | 1.96339i | −0.100642 | − | 0.0731205i | ||||
\(722\) | −0.105940 | + | 1.00795i | −0.00394269 | + | 0.0375122i | ||||
\(723\) | −41.7987 | − | 11.4732i | −1.55451 | − | 0.426691i | ||||
\(724\) | 8.97143 | − | 15.5390i | 0.333421 | − | 0.577501i | ||||
\(725\) | −1.38443 | − | 1.21457i | −0.0514165 | − | 0.0451078i | ||||
\(726\) | −6.28323 | − | 3.24981i | −0.233192 | − | 0.120612i | ||||
\(727\) | −26.9467 | + | 5.72770i | −0.999399 | + | 0.212429i | −0.678433 | − | 0.734662i | \(-0.737341\pi\) |
−0.320966 | + | 0.947091i | \(0.604007\pi\) | |||||||
\(728\) | 0.984202 | + | 0.715064i | 0.0364769 | + | 0.0265020i | ||||
\(729\) | 25.3566 | + | 9.27584i | 0.939135 | + | 0.343549i | ||||
\(730\) | −1.93220 | − | 4.93807i | −0.0715139 | − | 0.182766i | ||||
\(731\) | −30.1649 | − | 13.4303i | −1.11569 | − | 0.496737i | ||||
\(732\) | 18.5139 | + | 9.57577i | 0.684295 | + | 0.353931i | ||||
\(733\) | −0.396743 | − | 3.77476i | −0.0146540 | − | 0.139424i | 0.984749 | − | 0.173983i | \(-0.0556639\pi\) |
−0.999403 | + | 0.0345595i | \(0.988997\pi\) | |||||||
\(734\) | 9.45761 | + | 2.01028i | 0.349087 | + | 0.0742007i | ||||
\(735\) | 5.06850 | − | 2.25885i | 0.186955 | − | 0.0833190i | ||||
\(736\) | 18.4127 | − | 3.91375i | 0.678703 | − | 0.144263i | ||||
\(737\) | −1.47529 | − | 4.54046i | −0.0543428 | − | 0.167250i | ||||
\(738\) | −5.82027 | + | 7.80912i | −0.214247 | + | 0.287458i | ||||
\(739\) | −6.92487 | + | 21.3125i | −0.254735 | + | 0.783995i | 0.739146 | + | 0.673545i | \(0.235229\pi\) |
−0.993882 | + | 0.110450i | \(0.964771\pi\) | |||||||
\(740\) | 38.1804 | + | 14.3741i | 1.40354 | + | 0.528403i | ||||
\(741\) | 1.92156 | + | 1.57552i | 0.0705904 | + | 0.0578782i | ||||
\(742\) | −1.03009 | − | 9.80063i | −0.0378157 | − | 0.359792i | ||||
\(743\) | 0.543224 | − | 0.940891i | 0.0199289 | − | 0.0345179i | −0.855889 | − | 0.517160i | \(-0.826989\pi\) |
0.875818 | + | 0.482642i | \(0.160323\pi\) | |||||||
\(744\) | −5.38009 | + | 13.7645i | −0.197244 | + | 0.504632i | ||||
\(745\) | 1.14929 | − | 25.0174i | 0.0421066 | − | 0.916566i | ||||
\(746\) | −1.41619 | − | 1.02892i | −0.0518505 | − | 0.0376716i | ||||
\(747\) | 23.0045 | − | 12.9107i | 0.841691 | − | 0.472378i | ||||
\(748\) | 0.920413 | − | 2.83274i | 0.0336536 | − | 0.103575i | ||||
\(749\) | 9.41020 | + | 16.2990i | 0.343841 | + | 0.595551i | ||||
\(750\) | 6.25845 | − | 3.72490i | 0.228526 | − | 0.136014i | ||||
\(751\) | −7.82702 | + | 13.5568i | −0.285612 | + | 0.494694i | −0.972757 | − | 0.231826i | \(-0.925530\pi\) |
0.687145 | + | 0.726520i | \(0.258863\pi\) | |||||||
\(752\) | −1.42118 | − | 1.57838i | −0.0518249 | − | 0.0575574i | ||||
\(753\) | −16.0652 | − | 32.0101i | −0.585448 | − | 1.16651i | ||||
\(754\) | −0.00514473 | + | 0.0489489i | −0.000187360 | + | 0.00178261i | ||||
\(755\) | −6.50893 | − | 4.16748i | −0.236884 | − | 0.151670i | ||||
\(756\) | 15.8154 | + | 16.4041i | 0.575202 | + | 0.596610i | ||||
\(757\) | −8.77489 | −0.318929 | −0.159464 | − | 0.987204i | \(-0.550977\pi\) | ||||
−0.159464 | + | 0.987204i | \(0.550977\pi\) | |||||||
\(758\) | 8.70165 | + | 3.87422i | 0.316058 | + | 0.140718i | ||||
\(759\) | 0.485200 | − | 2.94717i | 0.0176117 | − | 0.106976i | ||||
\(760\) | −2.13323 | − | 12.9282i | −0.0773803 | − | 0.468955i | ||||
\(761\) | −12.7460 | − | 14.1558i | −0.462041 | − | 0.513149i | 0.466427 | − | 0.884560i | \(-0.345541\pi\) |
−0.928469 | + | 0.371411i | \(0.878874\pi\) | |||||||
\(762\) | 5.64054 | − | 2.12589i | 0.204335 | − | 0.0770127i | ||||
\(763\) | −13.9492 | + | 15.4921i | −0.504993 | + | 0.560852i | ||||
\(764\) | −7.53068 | + | 23.1771i | −0.272450 | + | 0.838516i | ||||
\(765\) | 12.8636 | + | 25.6076i | 0.465084 | + | 0.925845i | ||||
\(766\) | −0.792465 | − | 2.43896i | −0.0286329 | − | 0.0881231i | ||||
\(767\) | −3.76384 | − | 1.67577i | −0.135904 | − | 0.0605085i | ||||
\(768\) | 8.52455 | − | 5.46240i | 0.307603 | − | 0.197107i | ||||
\(769\) | −2.89450 | − | 27.5393i | −0.104378 | − | 0.993094i | −0.913882 | − | 0.405979i | \(-0.866930\pi\) |
0.809504 | − | 0.587115i | \(-0.199736\pi\) | |||||||
\(770\) | −0.735969 | − | 0.111703i | −0.0265225 | − | 0.00402549i | ||||
\(771\) | 0.691536 | + | 0.0404656i | 0.0249051 | + | 0.00145733i | ||||
\(772\) | −3.26379 | + | 31.0529i | −0.117466 | + | 1.11762i | ||||
\(773\) | 4.15971 | − | 12.8023i | 0.149615 | − | 0.460466i | −0.847961 | − | 0.530059i | \(-0.822170\pi\) |
0.997576 | + | 0.0695925i | \(0.0221699\pi\) | |||||||
\(774\) | 8.68372 | − | 0.805907i | 0.312130 | − | 0.0289677i | ||||
\(775\) | −25.6471 | − | 14.3693i | −0.921272 | − | 0.516161i | ||||
\(776\) | −8.16473 | − | 14.1417i | −0.293097 | − | 0.507659i | ||||
\(777\) | 38.6875 | + | 10.6192i | 1.38791 | + | 0.380962i | ||||
\(778\) | 0.763226 | − | 0.339810i | 0.0273630 | − | 0.0121828i | ||||
\(779\) | −31.8427 | + | 14.1773i | −1.14088 | + | 0.507954i | ||||
\(780\) | 2.33671 | + | 1.03935i | 0.0836676 | + | 0.0372148i | ||||
\(781\) | 0.708315 | + | 0.315362i | 0.0253455 | + | 0.0112846i | ||||
\(782\) | 7.38538 | 0.264101 | ||||||||
\(783\) | −0.529050 | + | 1.83937i | −0.0189067 | + | 0.0657336i | ||||
\(784\) | −1.40410 | − | 4.32136i | −0.0501463 | − | 0.154334i | ||||
\(785\) | −0.180944 | + | 3.93874i | −0.00645815 | + | 0.140580i | ||||
\(786\) | −7.36696 | + | 7.27778i | −0.262771 | + | 0.259590i | ||||
\(787\) | 11.0803 | + | 2.35520i | 0.394972 | + | 0.0839538i | 0.401116 | − | 0.916027i | \(-0.368622\pi\) |
−0.00614432 | + | 0.999981i | \(0.501956\pi\) | |||||||
\(788\) | 21.1331 | + | 4.49199i | 0.752837 | + | 0.160020i | ||||
\(789\) | 4.46032 | + | 1.22430i | 0.158792 | + | 0.0435861i | ||||
\(790\) | 5.50324 | + | 8.35570i | 0.195796 | + | 0.297283i | ||||
\(791\) | −12.1412 | − | 37.3667i | −0.431691 | − | 1.32861i | ||||
\(792\) | 0.320087 | + | 1.60155i | 0.0113738 | + | 0.0569086i | ||||
\(793\) | 2.30051 | 0.0816935 | ||||||||
\(794\) | −7.97811 | − | 3.55208i | −0.283132 | − | 0.126059i | ||||
\(795\) | −13.3056 | − | 40.8999i | −0.471902 | − | 1.45057i | ||||
\(796\) | −12.5299 | + | 5.57866i | −0.444110 | + | 0.197730i | ||||
\(797\) | −3.70507 | + | 1.64960i | −0.131240 | + | 0.0584320i | −0.471306 | − | 0.881970i | \(-0.656217\pi\) |
0.340066 | + | 0.940402i | \(0.389551\pi\) | |||||||
\(798\) | −1.56981 | − | 6.00462i | −0.0555706 | − | 0.212561i | ||||
\(799\) | −1.43051 | − | 2.47772i | −0.0506078 | − | 0.0876553i | ||||
\(800\) | −8.56881 | − | 18.5962i | −0.302953 | − | 0.657476i | ||||
\(801\) | −3.38492 | − | 4.78029i | −0.119600 | − | 0.168903i | ||||
\(802\) | 1.79471 | − | 5.52354i | 0.0633733 | − | 0.195043i | ||||
\(803\) | −0.247255 | + | 2.35247i | −0.00872543 | + | 0.0830169i | ||||
\(804\) | 22.5207 | − | 34.2208i | 0.794243 | − | 1.20687i | ||||
\(805\) | 3.94840 | + | 23.9289i | 0.139163 | + | 0.843382i | ||||
\(806\) | 0.0821234 | + | 0.781352i | 0.00289267 | + | 0.0275220i | ||||
\(807\) | 28.8678 | + | 14.9310i | 1.01619 | + | 0.525596i | ||||
\(808\) | −21.0183 | − | 9.35797i | −0.739423 | − | 0.329212i | ||||
\(809\) | 1.08629 | + | 3.34324i | 0.0381918 | + | 0.117542i | 0.968335 | − | 0.249655i | \(-0.0803173\pi\) |
−0.930143 | + | 0.367198i | \(0.880317\pi\) | |||||||
\(810\) | −6.27290 | − | 4.23524i | −0.220407 | − | 0.148811i | ||||
\(811\) | 13.6058 | − | 41.8744i | 0.477765 | − | 1.47041i | −0.364428 | − | 0.931232i | \(-0.618735\pi\) |
0.842193 | − | 0.539177i | \(-0.181265\pi\) | |||||||
\(812\) | −1.08082 | + | 1.20037i | −0.0379292 | + | 0.0421246i | ||||
\(813\) | 3.75903 | − | 22.8329i | 0.131835 | − | 0.800784i | ||||
\(814\) | 0.926777 | + | 1.02929i | 0.0324835 | + | 0.0360766i | ||||
\(815\) | 13.2793 | + | 13.1090i | 0.465152 | + | 0.459187i | ||||
\(816\) | 21.9575 | − | 8.27563i | 0.768665 | − | 0.289705i | ||||
\(817\) | 28.5129 | + | 12.6948i | 0.997540 | + | 0.444133i | ||||
\(818\) | 10.1905 | 0.356302 | ||||||||
\(819\) | 2.38219 | + | 0.806224i | 0.0832406 | + | 0.0281717i | ||||
\(820\) | −27.7329 | + | 22.7555i | −0.968474 | + | 0.794657i | ||||
\(821\) | −1.84739 | + | 17.5767i | −0.0644744 | + | 0.613433i | 0.913807 | + | 0.406150i | \(0.133129\pi\) |
−0.978281 | + | 0.207283i | \(0.933538\pi\) | |||||||
\(822\) | −4.55655 | − | 0.266629i | −0.158928 | − | 0.00929977i | ||||
\(823\) | 21.4671 | + | 23.8416i | 0.748295 | + | 0.831066i | 0.990262 | − | 0.139219i | \(-0.0444591\pi\) |
−0.241967 | + | 0.970285i | \(0.577792\pi\) | |||||||
\(824\) | 1.02721 | − | 1.77919i | 0.0357847 | − | 0.0619809i | ||||
\(825\) | −3.24318 | + | 0.192143i | −0.112913 | + | 0.00668957i | ||||
\(826\) | 5.14524 | + | 8.91181i | 0.179026 | + | 0.310082i | ||||
\(827\) | −14.6544 | + | 45.1017i | −0.509584 | + | 1.56834i | 0.283341 | + | 0.959019i | \(0.408557\pi\) |
−0.792925 | + | 0.609320i | \(0.791443\pi\) | |||||||
\(828\) | 22.3505 | − | 12.5437i | 0.776735 | − | 0.435923i | ||||
\(829\) | −1.12381 | − | 0.816496i | −0.0390315 | − | 0.0283581i | 0.568098 | − | 0.822961i | \(-0.307679\pi\) |
−0.607130 | + | 0.794603i | \(0.707679\pi\) | |||||||
\(830\) | −7.13045 | + | 1.96000i | −0.247501 | + | 0.0680325i | ||||
\(831\) | −24.6340 | − | 30.8021i | −0.854544 | − | 1.06851i | ||||
\(832\) | 0.853140 | − | 1.47768i | 0.0295773 | − | 0.0512294i | ||||
\(833\) | −0.639783 | − | 6.08713i | −0.0221672 | − | 0.210907i | ||||
\(834\) | 1.69528 | − | 10.2973i | 0.0587026 | − | 0.356568i | ||||
\(835\) | −14.1530 | − | 21.4889i | −0.489785 | − | 0.743653i | ||||
\(836\) | −0.870005 | + | 2.67760i | −0.0300897 | + | 0.0926067i | ||||
\(837\) | −2.15597 | + | 30.4753i | −0.0745212 | + | 1.05338i | ||||
\(838\) | −1.87197 | − | 5.76132i | −0.0646660 | − | 0.199021i | ||||
\(839\) | −26.8889 | + | 5.71541i | −0.928307 | + | 0.197318i | −0.647166 | − | 0.762349i | \(-0.724046\pi\) |
−0.281141 | + | 0.959667i | \(0.590713\pi\) | |||||||
\(840\) | −6.63486 | − | 11.4823i | −0.228924 | − | 0.396176i | ||||
\(841\) | 28.2336 | + | 6.00123i | 0.973571 | + | 0.206939i | ||||
\(842\) | 0.670757 | + | 6.38183i | 0.0231158 | + | 0.219932i | ||||
\(843\) | 0.718930 | + | 15.5264i | 0.0247613 | + | 0.534756i | ||||
\(844\) | −18.8653 | − | 8.39939i | −0.649371 | − | 0.289119i | ||||
\(845\) | −28.7369 | + | 1.69204i | −0.988578 | + | 0.0582079i | ||||
\(846\) | 0.649756 | + | 0.385763i | 0.0223391 | + | 0.0132628i | ||||
\(847\) | −20.7290 | − | 15.0605i | −0.712256 | − | 0.517484i | ||||
\(848\) | −34.4481 | + | 7.32218i | −1.18295 | + | 0.251445i | ||||
\(849\) | −9.48278 | + | 6.07642i | −0.325448 | + | 0.208542i | ||||
\(850\) | −1.77148 | − | 7.83552i | −0.0607611 | − | 0.268756i | ||||
\(851\) | 22.5624 | − | 39.0792i | 0.773428 | − | 1.33962i | ||||
\(852\) | 1.68281 | + | 6.43686i | 0.0576521 | + | 0.220523i | ||||
\(853\) | 0.747701 | − | 7.11390i | 0.0256008 | − | 0.243575i | −0.974236 | − | 0.225529i | \(-0.927589\pi\) |
0.999837 | − | 0.0180460i | \(-0.00574452\pi\) | |||||||
\(854\) | −4.64854 | − | 3.37736i | −0.159070 | − | 0.115571i | ||||
\(855\) | −12.1591 | − | 24.2052i | −0.415832 | − | 0.827799i | ||||
\(856\) | −9.36461 | + | 6.80379i | −0.320076 | + | 0.232549i | ||||
\(857\) | 4.13554 | + | 7.16297i | 0.141267 | + | 0.244682i | 0.927974 | − | 0.372645i | \(-0.121549\pi\) |
−0.786707 | + | 0.617327i | \(0.788216\pi\) | |||||||
\(858\) | 0.0542288 | + | 0.0678071i | 0.00185134 | + | 0.00231490i | ||||
\(859\) | −22.2616 | − | 4.73184i | −0.759555 | − | 0.161448i | −0.188177 | − | 0.982135i | \(-0.560258\pi\) |
−0.571378 | + | 0.820687i | \(0.693591\pi\) | |||||||
\(860\) | 31.7587 | + | 4.82022i | 1.08296 | + | 0.164368i | ||||
\(861\) | −25.0964 | + | 24.7926i | −0.855282 | + | 0.844929i | ||||
\(862\) | 2.77393 | − | 3.08076i | 0.0944803 | − | 0.104931i | ||||
\(863\) | −6.39640 | − | 19.6861i | −0.217736 | − | 0.670123i | −0.998948 | − | 0.0458569i | \(-0.985398\pi\) |
0.781212 | − | 0.624266i | \(-0.214602\pi\) | |||||||
\(864\) | −13.6910 | + | 16.2893i | −0.465776 | + | 0.554173i | ||||
\(865\) | 31.3176 | − | 25.6968i | 1.06483 | − | 0.873718i | ||||
\(866\) | 4.60579 | − | 5.11525i | 0.156511 | − | 0.173823i | ||||
\(867\) | 2.13934 | − | 0.325498i | 0.0726559 | − | 0.0110545i | ||||
\(868\) | −12.8918 | + | 22.3293i | −0.437577 | + | 0.757906i | ||||
\(869\) | −0.466527 | − | 4.43871i | −0.0158259 | − | 0.150573i | ||||
\(870\) | 0.268094 | − | 0.464742i | 0.00908923 | − | 0.0157562i | ||||
\(871\) | 0.472618 | − | 4.49666i | 0.0160141 | − | 0.152364i | ||||
\(872\) | −10.3728 | − | 7.53631i | −0.351269 | − | 0.255212i | ||||
\(873\) | −24.8098 | − | 22.8920i | −0.839684 | − | 0.774777i | ||||
\(874\) | −6.98091 | −0.236133 | ||||||||
\(875\) | 24.4402 | − | 9.92869i | 0.826231 | − | 0.335651i | ||||
\(876\) | −17.0900 | + | 10.9510i | −0.577416 | + | 0.369999i | ||||
\(877\) | 7.92995 | + | 8.80710i | 0.267775 | + | 0.297395i | 0.862004 | − | 0.506902i | \(-0.169209\pi\) |
−0.594229 | + | 0.804296i | \(0.702543\pi\) | |||||||
\(878\) | 7.24336 | − | 3.22495i | 0.244452 | − | 0.108837i | ||||
\(879\) | 29.6344 | + | 1.73408i | 0.999544 | + | 0.0584889i | ||||
\(880\) | −0.122083 | + | 2.65747i | −0.00411541 | + | 0.0895834i | ||||
\(881\) | 0.952966 | − | 0.692370i | 0.0321062 | − | 0.0233265i | −0.571616 | − | 0.820521i | \(-0.693683\pi\) |
0.603723 | + | 0.797194i | \(0.293683\pi\) | |||||||
\(882\) | 0.934198 | + | 1.31931i | 0.0314561 | + | 0.0444233i | ||||
\(883\) | −5.30098 | + | 3.85139i | −0.178392 | + | 0.129609i | −0.673398 | − | 0.739280i | \(-0.735166\pi\) |
0.495006 | + | 0.868890i | \(0.335166\pi\) | |||||||
\(884\) | 1.88753 | − | 2.09631i | 0.0634844 | − | 0.0705066i | ||||
\(885\) | 30.0641 | + | 33.3652i | 1.01060 | + | 1.12156i | ||||
\(886\) | −8.00434 | − | 8.88972i | −0.268911 | − | 0.298656i | ||||
\(887\) | 52.1642 | + | 11.0878i | 1.75150 | + | 0.372293i | 0.968362 | − | 0.249551i | \(-0.0802830\pi\) |
0.783141 | + | 0.621844i | \(0.213616\pi\) | |||||||
\(888\) | −4.00826 | + | 24.3467i | −0.134508 | + | 0.817022i | ||||
\(889\) | 21.3564 | − | 4.53945i | 0.716271 | − | 0.152248i | ||||
\(890\) | 0.598309 | + | 1.52908i | 0.0200554 | + | 0.0512550i | ||||
\(891\) | 1.61645 | + | 2.96423i | 0.0541532 | + | 0.0993054i | ||||
\(892\) | −4.54773 | + | 3.30412i | −0.152269 | + | 0.110630i | ||||
\(893\) | 1.35217 | + | 2.34202i | 0.0452485 | + | 0.0783727i | ||||
\(894\) | 7.21281 | − | 1.09742i | 0.241232 | − | 0.0367031i | ||||
\(895\) | −16.1627 | − | 2.45311i | −0.540258 | − | 0.0819985i | ||||
\(896\) | −21.5473 | + | 9.59347i | −0.719845 | + | 0.320495i | ||||
\(897\) | 1.55507 | − | 2.36297i | 0.0519221 | − | 0.0788971i | ||||
\(898\) | −5.27390 | + | 1.12100i | −0.175992 | + | 0.0374083i | ||||
\(899\) | −2.16569 | −0.0722298 | ||||||||
\(900\) | −18.6693 | − | 20.7040i | −0.622309 | − | 0.690134i | ||||
\(901\) | −47.4401 | −1.58046 | ||||||||
\(902\) | −1.19130 | + | 0.253219i | −0.0396660 | + | 0.00843127i | ||||
\(903\) | 31.5345 | + | 1.84526i | 1.04940 | + | 0.0614065i | ||||
\(904\) | 22.0756 | − | 9.82868i | 0.734223 | − | 0.326897i | ||||
\(905\) | −9.67620 | + | 19.2974i | −0.321648 | + | 0.641468i | ||||
\(906\) | 0.819674 | − | 2.09707i | 0.0272319 | − | 0.0696704i | ||||
\(907\) | −23.7125 | − | 41.0712i | −0.787360 | − | 1.36375i | −0.927579 | − | 0.373626i | \(-0.878114\pi\) |
0.140220 | − | 0.990120i | \(-0.455219\pi\) | |||||||
\(908\) | 13.7556 | − | 9.99402i | 0.456495 | − | 0.331663i | ||||
\(909\) | −47.2381 | − | 5.54733i | −1.56679 | − | 0.183993i | ||||
\(910\) | −0.593725 | − | 0.380146i | −0.0196818 | − | 0.0126017i | ||||
\(911\) | 9.88100 | − | 2.10027i | 0.327372 | − | 0.0695851i | −0.0412938 | − | 0.999147i | \(-0.513148\pi\) |
0.368666 | + | 0.929562i | \(0.379815\pi\) | |||||||
\(912\) | −20.7549 | + | 7.82240i | −0.687264 | + | 0.259026i | ||||
\(913\) | 3.22668 | + | 0.685852i | 0.106788 | + | 0.0226984i | ||||
\(914\) | −5.68315 | − | 6.31177i | −0.187982 | − | 0.208775i | ||||
\(915\) | −22.9132 | − | 10.1916i | −0.757488 | − | 0.336925i | ||||
\(916\) | 36.6539 | − | 40.7083i | 1.21108 | − | 1.34504i | ||||
\(917\) | −30.3454 | + | 22.0472i | −1.00209 | + | 0.728064i | ||||
\(918\) | −6.58283 | + | 5.13444i | −0.217266 | + | 0.169462i | ||||
\(919\) | 16.4085 | − | 11.9215i | 0.541266 | − | 0.393253i | −0.283289 | − | 0.959035i | \(-0.591426\pi\) |
0.824555 | + | 0.565782i | \(0.191426\pi\) | |||||||
\(920\) | −14.3827 | + | 3.95349i | −0.474185 | + | 0.130343i | ||||
\(921\) | −17.6724 | − | 35.2124i | −0.582325 | − | 1.16029i | ||||
\(922\) | 9.09517 | − | 4.04943i | 0.299533 | − | 0.133361i | ||||
\(923\) | 0.491348 | + | 0.545697i | 0.0161729 | + | 0.0179619i | ||||
\(924\) | 0.131798 | + | 2.84637i | 0.00433584 | + | 0.0936388i | ||||
\(925\) | −46.8729 | − | 14.5639i | −1.54117 | − | 0.478858i | ||||
\(926\) | −2.16084 | −0.0710097 | ||||||||
\(927\) | 0.933540 | − | 4.14320i | 0.0306615 | − | 0.136081i | ||||
\(928\) | −1.22030 | − | 0.886601i | −0.0400584 | − | 0.0291041i | ||||
\(929\) | 3.77311 | − | 35.8988i | 0.123792 | − | 1.17780i | −0.739522 | − | 0.673133i | \(-0.764948\pi\) |
0.863314 | − | 0.504668i | \(-0.168385\pi\) | |||||||
\(930\) | 2.64357 | − | 8.14614i | 0.0866860 | − | 0.267123i | ||||
\(931\) | 0.604744 | + | 5.75376i | 0.0198197 | + | 0.188572i | ||||
\(932\) | −7.57554 | + | 13.1212i | −0.248145 | + | 0.429800i | ||||
\(933\) | −9.07072 | + | 23.2067i | −0.296962 | + | 0.759753i | ||||
\(934\) | −4.57188 | + | 5.07758i | −0.149596 | + | 0.166144i | ||||
\(935\) | −0.905130 | + | 3.46733i | −0.0296009 | + | 0.113394i | ||||
\(936\) | −0.339994 | + | 1.50895i | −0.0111131 | + | 0.0493215i | ||||
\(937\) | −2.52174 | − | 7.76113i | −0.0823818 | − | 0.253545i | 0.901379 | − | 0.433032i | \(-0.142556\pi\) |
−0.983760 | + | 0.179487i | \(0.942556\pi\) | |||||||
\(938\) | −7.55651 | + | 8.39236i | −0.246729 | + | 0.274020i | ||||
\(939\) | 4.31990 | + | 1.18575i | 0.140975 | + | 0.0386956i | ||||
\(940\) | 1.98073 | + | 1.95533i | 0.0646044 | + | 0.0637760i | ||||
\(941\) | 48.6857 | + | 10.3485i | 1.58711 | + | 0.337350i | 0.915111 | − | 0.403203i | \(-0.132103\pi\) |
0.671998 | + | 0.740553i | \(0.265437\pi\) | |||||||
\(942\) | −1.13558 | + | 0.172778i | −0.0369993 | + | 0.00562940i | ||||
\(943\) | 19.8398 | + | 34.3636i | 0.646073 | + | 1.11903i | ||||
\(944\) | 29.7519 | − | 21.6160i | 0.968342 | − | 0.703541i | ||||
\(945\) | −20.1551 | − | 18.5836i | −0.655645 | − | 0.604524i | ||||
\(946\) | 0.882279 | + | 0.641013i | 0.0286854 | + | 0.0208411i | ||||
\(947\) | 0.803938 | − | 7.64896i | 0.0261245 | − | 0.248558i | −0.973664 | − | 0.227988i | \(-0.926785\pi\) |
0.999788 | − | 0.0205697i | \(-0.00654801\pi\) | |||||||
\(948\) | 27.2452 | − | 26.9154i | 0.884882 | − | 0.874171i | ||||
\(949\) | −1.12011 | + | 1.94009i | −0.0363604 | + | 0.0629781i | ||||
\(950\) | 1.67446 | + | 7.40639i | 0.0543266 | + | 0.240295i | ||||
\(951\) | 1.24286 | + | 26.8415i | 0.0403027 | + | 0.870395i | ||||
\(952\) | −14.3077 | + | 3.04120i | −0.463716 | + | 0.0985660i | ||||
\(953\) | 8.32277 | + | 6.04685i | 0.269601 | + | 0.195877i | 0.714369 | − | 0.699769i | \(-0.246714\pi\) |
−0.444768 | + | 0.895646i | \(0.646714\pi\) | |||||||
\(954\) | 10.9265 | − | 6.13225i | 0.353760 | − | 0.198539i | ||||
\(955\) | 7.40564 | − | 28.3692i | 0.239641 | − | 0.918006i | ||||
\(956\) | −8.05314 | − | 3.58549i | −0.260457 | − | 0.115963i | ||||
\(957\) | −0.201514 | + | 0.129127i | −0.00651403 | + | 0.00417409i | ||||
\(958\) | −0.0130231 | − | 0.123907i | −0.000420758 | − | 0.00400324i | ||||
\(959\) | −16.1713 | − | 3.43731i | −0.522197 | − | 0.110996i | ||||
\(960\) | −15.0437 | + | 10.9383i | −0.485534 | + | 0.353031i | ||||
\(961\) | −3.49208 | + | 0.742264i | −0.112648 | + | 0.0239440i | ||||
\(962\) | 0.405349 | + | 1.24753i | 0.0130690 | + | 0.0402221i | ||||
\(963\) | −14.3000 | + | 19.1865i | −0.460812 | + | 0.618277i | ||||
\(964\) | 14.3725 | − | 44.2340i | 0.462907 | − | 1.42468i | ||||
\(965\) | 1.72396 | − | 37.5267i | 0.0554961 | − | 1.20803i | ||||
\(966\) | −6.61131 | + | 2.49176i | −0.212715 | + | 0.0801711i | ||||
\(967\) | 1.88470 | + | 17.9317i | 0.0606077 | + | 0.576644i | 0.982115 | + | 0.188283i | \(0.0602921\pi\) |
−0.921507 | + | 0.388361i | \(0.873041\pi\) | |||||||
\(968\) | 7.87940 | − | 13.6475i | 0.253254 | − | 0.438648i | ||||
\(969\) | −29.5378 | + | 4.49413i | −0.948890 | + | 0.144372i | ||||
\(970\) | 5.20507 | + | 7.90299i | 0.167125 | + | 0.253750i | ||||
\(971\) | 21.6172 | + | 15.7058i | 0.693730 | + | 0.504025i | 0.877884 | − | 0.478873i | \(-0.158954\pi\) |
−0.184154 | + | 0.982897i | \(0.558954\pi\) | |||||||
\(972\) | −11.2012 | + | 26.7191i | −0.359277 | + | 0.857014i | ||||
\(973\) | 11.6809 | − | 35.9500i | 0.374472 | − | 1.15251i | ||||
\(974\) | −3.75283 | − | 6.50008i | −0.120248 | − | 0.208276i | ||||
\(975\) | −2.87999 | − | 1.08306i | −0.0922335 | − | 0.0346857i | ||||
\(976\) | −10.2672 | + | 17.7832i | −0.328644 | + | 0.569228i | ||||
\(977\) | −16.6448 | − | 18.4859i | −0.532513 | − | 0.591416i | 0.415521 | − | 0.909583i | \(-0.363599\pi\) |
−0.948034 | + | 0.318168i | \(0.896932\pi\) | |||||||
\(978\) | −2.98836 | + | 4.54089i | −0.0955571 | + | 0.145202i | ||||
\(979\) | 0.0765629 | − | 0.728447i | 0.00244696 | − | 0.0232813i | ||||
\(980\) | 2.16967 | + | 5.54498i | 0.0693076 | + | 0.177128i | ||||
\(981\) | −25.1068 | − | 8.49707i | −0.801597 | − | 0.271291i | ||||
\(982\) | −13.5871 | −0.433583 | ||||||||
\(983\) | −31.5050 | − | 14.0269i | −1.00485 | − | 0.447390i | −0.162728 | − | 0.986671i | \(-0.552029\pi\) |
−0.842126 | + | 0.539281i | \(0.818696\pi\) | |||||||
\(984\) | −16.7783 | − | 13.7568i | −0.534873 | − | 0.438551i | ||||
\(985\) | −25.6995 | − | 3.90058i | −0.818854 | − | 0.124283i | ||||
\(986\) | −0.395986 | − | 0.439787i | −0.0126108 | − | 0.0140057i | ||||
\(987\) | 2.11653 | + | 1.73538i | 0.0673700 | + | 0.0552377i | ||||
\(988\) | −1.78415 | + | 1.98150i | −0.0567615 | + | 0.0630400i | ||||
\(989\) | 10.9795 | − | 33.7913i | 0.349127 | − | 1.07450i | ||||
\(990\) | −0.239726 | − | 0.915607i | −0.00761899 | − | 0.0290999i | ||||
\(991\) | −1.92211 | − | 5.91566i | −0.0610580 | − | 0.187917i | 0.915875 | − | 0.401464i | \(-0.131498\pi\) |
−0.976933 | + | 0.213547i | \(0.931498\pi\) | |||||||
\(992\) | −21.9960 | − | 9.79326i | −0.698374 | − | 0.310936i | ||||
\(993\) | 0.694126 | + | 14.9907i | 0.0220274 | + | 0.475715i | ||||
\(994\) | −0.191711 | − | 1.82401i | −0.00608071 | − | 0.0578541i | ||||
\(995\) | 14.6544 | − | 7.58630i | 0.464576 | − | 0.240502i | ||||
\(996\) | 12.6970 | + | 25.2990i | 0.402321 | + | 0.801630i | ||||
\(997\) | 0.848789 | − | 8.07569i | 0.0268814 | − | 0.255760i | −0.972825 | − | 0.231541i | \(-0.925623\pi\) |
0.999707 | − | 0.0242190i | \(-0.00770992\pi\) | |||||||
\(998\) | −3.18598 | + | 9.80545i | −0.100851 | + | 0.310386i | ||||
\(999\) | 7.05795 | + | 50.5183i | 0.223304 | + | 1.59833i |
(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 | 225.2.q.a.121.17 | yes | 224 | |
3.2 | odd | 2 | 675.2.r.a.496.12 | 224 | |||
9.2 | odd | 6 | 675.2.r.a.46.17 | 224 | |||
9.7 | even | 3 | inner | 225.2.q.a.196.12 | yes | 224 | |
25.6 | even | 5 | inner | 225.2.q.a.31.12 | ✓ | 224 | |
75.56 | odd | 10 | 675.2.r.a.631.17 | 224 | |||
225.56 | odd | 30 | 675.2.r.a.181.12 | 224 | |||
225.106 | even | 15 | inner | 225.2.q.a.106.17 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.2.q.a.31.12 | ✓ | 224 | 25.6 | even | 5 | inner | |
225.2.q.a.106.17 | yes | 224 | 225.106 | even | 15 | inner | |
225.2.q.a.121.17 | yes | 224 | 1.1 | even | 1 | trivial | |
225.2.q.a.196.12 | yes | 224 | 9.7 | even | 3 | inner | |
675.2.r.a.46.17 | 224 | 9.2 | odd | 6 | |||
675.2.r.a.181.12 | 224 | 225.56 | odd | 30 | |||
675.2.r.a.496.12 | 224 | 3.2 | odd | 2 | |||
675.2.r.a.631.17 | 224 | 75.56 | odd | 10 |