Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [152,2,Mod(27,152)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(152, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("152.27");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 152 = 2^{3} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 152.o (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.21372611072\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 107.12 | ||
Character | \(\chi\) | \(=\) | 152.107 |
Dual form | 152.2.o.c.27.12 |
$q$-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 \(\left(\mathbb{Z}/152\mathbb{Z}\right)^\times\).
\(n\) | \(39\) | \(77\) | \(97\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.14168 | + | 0.834605i | 0.807290 | + | 0.590155i | ||||
\(3\) | −1.05104 | + | 0.606818i | −0.606818 | + | 0.350346i | −0.771719 | − | 0.635964i | \(-0.780603\pi\) |
0.164901 | + | 0.986310i | \(0.447269\pi\) | |||||||
\(4\) | 0.606869 | + | 1.90570i | 0.303434 | + | 0.952852i | ||||
\(5\) | 2.45005 | − | 1.41453i | 1.09569 | − | 0.632599i | 0.160607 | − | 0.987018i | \(-0.448655\pi\) |
0.935087 | + | 0.354419i | \(0.115321\pi\) | |||||||
\(6\) | −1.70640 | − | 0.184411i | −0.696637 | − | 0.0752853i | ||||
\(7\) | 0.450769i | 0.170375i | 0.996365 | + | 0.0851873i | \(0.0271489\pi\) | ||||
−0.996365 | + | 0.0851873i | \(0.972851\pi\) | |||||||
\(8\) | −0.897660 | + | 2.68220i | −0.317371 | + | 0.948302i | ||||
\(9\) | −0.763544 | + | 1.32250i | −0.254515 | + | 0.440832i | ||||
\(10\) | 3.97775 | + | 0.429874i | 1.25787 | + | 0.135938i | ||||
\(11\) | −2.15933 | −0.651064 | −0.325532 | − | 0.945531i | \(-0.605543\pi\) | ||||
−0.325532 | + | 0.945531i | \(0.605543\pi\) | |||||||
\(12\) | −1.79426 | − | 1.63471i | −0.517958 | − | 0.471901i | ||||
\(13\) | 1.86406 | − | 3.22864i | 0.516996 | − | 0.895464i | −0.482809 | − | 0.875726i | \(-0.660383\pi\) |
0.999805 | − | 0.0197382i | \(-0.00628328\pi\) | |||||||
\(14\) | −0.376214 | + | 0.514634i | −0.100547 | + | 0.137542i | ||||
\(15\) | −1.71673 | + | 2.97346i | −0.443258 | + | 0.767745i | ||||
\(16\) | −3.26342 | + | 2.31303i | −0.815855 | + | 0.578257i | ||||
\(17\) | −0.716566 | − | 1.24113i | −0.173793 | − | 0.301018i | 0.765950 | − | 0.642900i | \(-0.222269\pi\) |
−0.939743 | + | 0.341882i | \(0.888936\pi\) | |||||||
\(18\) | −1.97549 | + | 0.872612i | −0.465627 | + | 0.205677i | ||||
\(19\) | −0.0305680 | − | 4.35879i | −0.00701278 | − | 0.999975i | ||||
\(20\) | 4.18254 | + | 3.81063i | 0.935245 | + | 0.852082i | ||||
\(21\) | −0.273535 | − | 0.473776i | −0.0596901 | − | 0.103386i | ||||
\(22\) | −2.46527 | − | 1.80219i | −0.525597 | − | 0.384229i | ||||
\(23\) | 1.12985 | + | 0.652319i | 0.235590 | + | 0.136018i | 0.613148 | − | 0.789968i | \(-0.289903\pi\) |
−0.377558 | + | 0.925986i | \(0.623236\pi\) | |||||||
\(24\) | −0.684132 | − | 3.36382i | −0.139648 | − | 0.686636i | ||||
\(25\) | 1.50182 | − | 2.60122i | 0.300363 | − | 0.520245i | ||||
\(26\) | 4.82280 | − | 2.13033i | 0.945828 | − | 0.417791i | ||||
\(27\) | − | 5.49424i | − | 1.05737i | ||||||
\(28\) | −0.859032 | + | 0.273558i | −0.162342 | + | 0.0516975i | ||||
\(29\) | 4.22992 | − | 7.32644i | 0.785477 | − | 1.36049i | −0.143237 | − | 0.989688i | \(-0.545751\pi\) |
0.928714 | − | 0.370797i | \(-0.120915\pi\) | |||||||
\(30\) | −4.44162 | + | 1.96195i | −0.810926 | + | 0.358202i | ||||
\(31\) | 0.497284 | 0.0893149 | 0.0446575 | − | 0.999002i | \(-0.485780\pi\) | ||||
0.0446575 | + | 0.999002i | \(0.485780\pi\) | |||||||
\(32\) | −5.65625 | − | 0.0829299i | −0.999893 | − | 0.0146601i | ||||
\(33\) | 2.26955 | − | 1.31032i | 0.395077 | − | 0.228098i | ||||
\(34\) | 0.217763 | − | 2.01502i | 0.0373460 | − | 0.345574i | ||||
\(35\) | 0.637628 | + | 1.10440i | 0.107779 | + | 0.186678i | ||||
\(36\) | −2.98366 | − | 0.652507i | −0.497277 | − | 0.108751i | ||||
\(37\) | −6.72997 | −1.10640 | −0.553200 | − | 0.833049i | \(-0.686593\pi\) | ||||
−0.553200 | + | 0.833049i | \(0.686593\pi\) | |||||||
\(38\) | 3.60297 | − | 5.00186i | 0.584479 | − | 0.811409i | ||||
\(39\) | 4.52457i | 0.724511i | ||||||||
\(40\) | 1.59476 | + | 7.84129i | 0.252154 | + | 1.23982i | ||||
\(41\) | −7.30919 | + | 4.21996i | −1.14150 | + | 0.659047i | −0.946802 | − | 0.321815i | \(-0.895707\pi\) |
−0.194701 | + | 0.980863i | \(0.562374\pi\) | |||||||
\(42\) | 0.0831265 | − | 0.769194i | 0.0128267 | − | 0.118689i | ||||
\(43\) | 2.90174 | + | 5.02595i | 0.442511 | + | 0.766451i | 0.997875 | − | 0.0651562i | \(-0.0207546\pi\) |
−0.555364 | + | 0.831607i | \(0.687421\pi\) | |||||||
\(44\) | −1.31043 | − | 4.11505i | −0.197555 | − | 0.620368i | ||||
\(45\) | 4.32024i | 0.644023i | ||||||||
\(46\) | 0.745499 | + | 1.68772i | 0.109918 | + | 0.248841i | ||||
\(47\) | 0.567335 | + | 0.327551i | 0.0827543 | + | 0.0477782i | 0.540806 | − | 0.841147i | \(-0.318119\pi\) |
−0.458052 | + | 0.888925i | \(0.651453\pi\) | |||||||
\(48\) | 2.02640 | − | 4.41138i | 0.292485 | − | 0.636728i | ||||
\(49\) | 6.79681 | 0.970972 | ||||||||
\(50\) | 3.88559 | − | 1.71634i | 0.549505 | − | 0.242727i | ||||
\(51\) | 1.50628 | + | 0.869651i | 0.210921 | + | 0.121775i | ||||
\(52\) | 7.28408 | + | 1.59298i | 1.01012 | + | 0.220907i | ||||
\(53\) | −3.86444 | + | 6.69340i | −0.530821 | + | 0.919409i | 0.468532 | + | 0.883446i | \(0.344783\pi\) |
−0.999353 | + | 0.0359626i | \(0.988550\pi\) | |||||||
\(54\) | 4.58552 | − | 6.27266i | 0.624010 | − | 0.853601i | ||||
\(55\) | −5.29047 | + | 3.05445i | −0.713367 | + | 0.411862i | ||||
\(56\) | −1.20905 | − | 0.404637i | −0.161567 | − | 0.0540719i | ||||
\(57\) | 2.67712 | + | 4.56271i | 0.354593 | + | 0.604346i | ||||
\(58\) | 10.9439 | − | 4.83414i | 1.43700 | − | 0.634753i | ||||
\(59\) | −12.1090 | + | 6.99113i | −1.57646 | + | 0.910168i | −0.581109 | + | 0.813826i | \(0.697381\pi\) |
−0.995348 | + | 0.0963425i | \(0.969286\pi\) | |||||||
\(60\) | −6.70837 | − | 1.46708i | −0.866047 | − | 0.189399i | ||||
\(61\) | 2.13281 | + | 1.23138i | 0.273078 | + | 0.157662i | 0.630286 | − | 0.776363i | \(-0.282938\pi\) |
−0.357208 | + | 0.934025i | \(0.616271\pi\) | |||||||
\(62\) | 0.567740 | + | 0.415036i | 0.0721030 | + | 0.0527096i | ||||
\(63\) | −0.596141 | − | 0.344182i | −0.0751067 | − | 0.0433629i | ||||
\(64\) | −6.38841 | − | 4.81541i | −0.798552 | − | 0.601926i | ||||
\(65\) | − | 10.5471i | − | 1.30821i | ||||||
\(66\) | 3.68470 | + | 0.398204i | 0.453555 | + | 0.0490155i | ||||
\(67\) | 2.16651 | + | 1.25083i | 0.264681 | + | 0.152814i | 0.626468 | − | 0.779447i | \(-0.284500\pi\) |
−0.361787 | + | 0.932261i | \(0.617833\pi\) | |||||||
\(68\) | 1.93036 | − | 2.11877i | 0.234091 | − | 0.256938i | ||||
\(69\) | −1.58336 | −0.190614 | ||||||||
\(70\) | −0.193774 | + | 1.79304i | −0.0231604 | + | 0.214310i | ||||
\(71\) | −8.35311 | − | 14.4680i | −0.991332 | − | 1.71704i | −0.609444 | − | 0.792829i | \(-0.708607\pi\) |
−0.381888 | − | 0.924209i | \(-0.624726\pi\) | |||||||
\(72\) | −2.86180 | − | 3.23513i | −0.337267 | − | 0.381264i | ||||
\(73\) | 8.25523 | + | 14.2985i | 0.966202 | + | 1.67351i | 0.706351 | + | 0.707862i | \(0.250340\pi\) |
0.259851 | + | 0.965649i | \(0.416327\pi\) | |||||||
\(74\) | −7.68347 | − | 5.61686i | −0.893186 | − | 0.652947i | ||||
\(75\) | 3.64532i | 0.420925i | ||||||||
\(76\) | 8.28802 | − | 2.70347i | 0.950701 | − | 0.310109i | ||||
\(77\) | − | 0.973361i | − | 0.110925i | ||||||
\(78\) | −3.77623 | + | 5.16562i | −0.427574 | + | 0.584891i | ||||
\(79\) | 4.05535 | + | 7.02407i | 0.456262 | + | 0.790269i | 0.998760 | − | 0.0497881i | \(-0.0158546\pi\) |
−0.542498 | + | 0.840057i | \(0.682521\pi\) | |||||||
\(80\) | −4.72367 | + | 10.2832i | −0.528123 | + | 1.14970i | ||||
\(81\) | 1.04337 | + | 1.80717i | 0.115930 | + | 0.200796i | ||||
\(82\) | −11.8668 | − | 1.28244i | −1.31046 | − | 0.141621i | ||||
\(83\) | 11.8333 | 1.29887 | 0.649435 | − | 0.760417i | \(-0.275006\pi\) | ||||
0.649435 | + | 0.760417i | \(0.275006\pi\) | |||||||
\(84\) | 0.736877 | − | 0.808796i | 0.0803999 | − | 0.0882469i | ||||
\(85\) | −3.51124 | − | 2.02722i | −0.380848 | − | 0.219882i | ||||
\(86\) | −0.881831 | + | 8.15984i | −0.0950903 | + | 0.879898i | ||||
\(87\) | 10.2672i | 1.10076i | ||||||||
\(88\) | 1.93835 | − | 5.79177i | 0.206629 | − | 0.617405i | ||||
\(89\) | −6.95256 | − | 4.01406i | −0.736970 | − | 0.425490i | 0.0839965 | − | 0.996466i | \(-0.473232\pi\) |
−0.820967 | + | 0.570976i | \(0.806565\pi\) | |||||||
\(90\) | −3.60569 | + | 4.93233i | −0.380073 | + | 0.519914i | ||||
\(91\) | 1.45537 | + | 0.840259i | 0.152564 | + | 0.0880831i | ||||
\(92\) | −0.557457 | + | 2.54903i | −0.0581189 | + | 0.265755i | ||||
\(93\) | −0.522665 | + | 0.301761i | −0.0541979 | + | 0.0312912i | ||||
\(94\) | 0.374340 | + | 0.847459i | 0.0386102 | + | 0.0874088i | ||||
\(95\) | −6.24056 | − | 10.6360i | −0.640267 | − | 1.09123i | ||||
\(96\) | 5.99526 | − | 3.34515i | 0.611889 | − | 0.341413i | ||||
\(97\) | −5.47310 | + | 3.15990i | −0.555709 | + | 0.320839i | −0.751422 | − | 0.659822i | \(-0.770632\pi\) |
0.195712 | + | 0.980661i | \(0.437298\pi\) | |||||||
\(98\) | 7.75978 | + | 5.67265i | 0.783856 | + | 0.573024i | ||||
\(99\) | 1.64875 | − | 2.85571i | 0.165705 | − | 0.287010i | ||||
\(100\) | 5.86857 | + | 1.28342i | 0.586857 | + | 0.128342i | ||||
\(101\) | 4.61075 | + | 2.66202i | 0.458787 | + | 0.264881i | 0.711534 | − | 0.702652i | \(-0.248001\pi\) |
−0.252747 | + | 0.967532i | \(0.581334\pi\) | |||||||
\(102\) | 0.993875 | + | 2.25001i | 0.0984083 | + | 0.222784i | ||||
\(103\) | 17.9095 | 1.76468 | 0.882340 | − | 0.470613i | \(-0.155967\pi\) | ||||
0.882340 | + | 0.470613i | \(0.155967\pi\) | |||||||
\(104\) | 6.98658 | + | 7.89800i | 0.685090 | + | 0.774463i | ||||
\(105\) | −1.34034 | − | 0.773848i | −0.130804 | − | 0.0755199i | ||||
\(106\) | −9.99830 | + | 4.41645i | −0.971120 | + | 0.428963i | ||||
\(107\) | 0.909747i | 0.0879485i | 0.999033 | + | 0.0439743i | \(0.0140020\pi\) | ||||
−0.999033 | + | 0.0439743i | \(0.985998\pi\) | |||||||
\(108\) | 10.4704 | − | 3.33428i | 1.00751 | − | 0.320841i | ||||
\(109\) | 0.935166 | + | 1.61976i | 0.0895727 | + | 0.155144i | 0.907331 | − | 0.420418i | \(-0.138117\pi\) |
−0.817758 | + | 0.575562i | \(0.804783\pi\) | |||||||
\(110\) | −8.58929 | − | 0.928242i | −0.818957 | − | 0.0885044i | ||||
\(111\) | 7.07346 | − | 4.08386i | 0.671383 | − | 0.387623i | ||||
\(112\) | −1.04264 | − | 1.47105i | −0.0985202 | − | 0.139001i | ||||
\(113\) | − | 2.34200i | − | 0.220317i | −0.993914 | − | 0.110159i | \(-0.964864\pi\) | ||
0.993914 | − | 0.110159i | \(-0.0351359\pi\) | |||||||
\(114\) | −0.751646 | + | 7.44350i | −0.0703981 | + | 0.697148i | ||||
\(115\) | 3.69091 | 0.344179 | ||||||||
\(116\) | 16.5290 | + | 3.61479i | 1.53468 | + | 0.335625i | ||||
\(117\) | 2.84658 | + | 4.93042i | 0.263166 | + | 0.455818i | ||||
\(118\) | −19.6594 | − | 2.12459i | −1.80980 | − | 0.195584i | ||||
\(119\) | 0.559462 | − | 0.323006i | 0.0512858 | − | 0.0296099i | ||||
\(120\) | −6.43439 | − | 7.27378i | −0.587377 | − | 0.664002i | ||||
\(121\) | −6.33727 | −0.576116 | ||||||||
\(122\) | 1.40727 | + | 3.18589i | 0.127408 | + | 0.288437i | ||||
\(123\) | 5.12150 | − | 8.87069i | 0.461790 | − | 0.799843i | ||||
\(124\) | 0.301786 | + | 0.947677i | 0.0271012 | + | 0.0851039i | ||||
\(125\) | 5.64786i | 0.505160i | ||||||||
\(126\) | −0.393346 | − | 0.890488i | −0.0350421 | − | 0.0793310i | ||||
\(127\) | 1.06604 | − | 1.84643i | 0.0945955 | − | 0.163844i | −0.814844 | − | 0.579680i | \(-0.803178\pi\) |
0.909440 | + | 0.415836i | \(0.136511\pi\) | |||||||
\(128\) | −3.27456 | − | 10.8295i | −0.289433 | − | 0.957198i | ||||
\(129\) | −6.09968 | − | 3.52165i | −0.537047 | − | 0.310064i | ||||
\(130\) | 8.80266 | − | 12.0414i | 0.772044 | − | 1.05610i | ||||
\(131\) | −8.72441 | − | 15.1111i | −0.762255 | − | 1.32026i | −0.941686 | − | 0.336494i | \(-0.890759\pi\) |
0.179430 | − | 0.983771i | \(-0.442575\pi\) | |||||||
\(132\) | 3.87441 | + | 3.52989i | 0.337224 | + | 0.307237i | ||||
\(133\) | 1.96481 | − | 0.0137791i | 0.170370 | − | 0.00119480i | ||||
\(134\) | 1.42951 | + | 3.23623i | 0.123491 | + | 0.279568i | ||||
\(135\) | −7.77179 | − | 13.4611i | −0.668889 | − | 1.15855i | ||||
\(136\) | 3.97219 | − | 0.807863i | 0.340613 | − | 0.0692737i | ||||
\(137\) | −4.28881 | + | 7.42843i | −0.366417 | + | 0.634654i | −0.989003 | − | 0.147898i | \(-0.952749\pi\) |
0.622585 | + | 0.782552i | \(0.286082\pi\) | |||||||
\(138\) | −1.80769 | − | 1.32148i | −0.153880 | − | 0.112492i | ||||
\(139\) | −2.38145 | + | 4.12479i | −0.201992 | + | 0.349860i | −0.949170 | − | 0.314763i | \(-0.898075\pi\) |
0.747178 | + | 0.664624i | \(0.231408\pi\) | |||||||
\(140\) | −1.71771 | + | 1.88536i | −0.145173 | + | 0.159342i | ||||
\(141\) | −0.795055 | −0.0669557 | ||||||||
\(142\) | 2.53849 | − | 23.4894i | 0.213026 | − | 1.97119i | ||||
\(143\) | −4.02512 | + | 6.97172i | −0.336598 | + | 0.583004i | ||||
\(144\) | −0.567205 | − | 6.08196i | −0.0472671 | − | 0.506830i | ||||
\(145\) | − | 23.9335i | − | 1.98757i | ||||||
\(146\) | −2.50875 | + | 23.2142i | −0.207625 | + | 1.92122i | ||||
\(147\) | −7.14371 | + | 4.12442i | −0.589203 | + | 0.340177i | ||||
\(148\) | −4.08421 | − | 12.8253i | −0.335720 | − | 1.05424i | ||||
\(149\) | −9.33207 | + | 5.38787i | −0.764513 | + | 0.441392i | −0.830914 | − | 0.556401i | \(-0.812182\pi\) |
0.0664008 | + | 0.997793i | \(0.478848\pi\) | |||||||
\(150\) | −3.04240 | + | 4.16179i | −0.248411 | + | 0.339809i | ||||
\(151\) | 5.40642 | 0.439968 | 0.219984 | − | 0.975503i | \(-0.429399\pi\) | ||||
0.219984 | + | 0.975503i | \(0.429399\pi\) | |||||||
\(152\) | 11.7186 | + | 3.83072i | 0.950504 | + | 0.310713i | ||||
\(153\) | 2.18852 | 0.176931 | ||||||||
\(154\) | 0.812372 | − | 1.11127i | 0.0654628 | − | 0.0895485i | ||||
\(155\) | 1.21837 | − | 0.703426i | 0.0978618 | − | 0.0565005i | ||||
\(156\) | −8.62250 | + | 2.74582i | −0.690352 | + | 0.219842i | ||||
\(157\) | −13.3288 | + | 7.69539i | −1.06375 | + | 0.614159i | −0.926468 | − | 0.376373i | \(-0.877171\pi\) |
−0.137286 | + | 0.990531i | \(0.543838\pi\) | |||||||
\(158\) | −1.23241 | + | 11.4039i | −0.0980453 | + | 0.907242i | ||||
\(159\) | − | 9.38003i | − | 0.743885i | ||||||
\(160\) | −13.9754 | + | 7.79777i | −1.10485 | + | 0.616468i | ||||
\(161\) | −0.294045 | + | 0.509301i | −0.0231740 | + | 0.0401386i | ||||
\(162\) | −0.317077 | + | 2.93401i | −0.0249119 | + | 0.230517i | ||||
\(163\) | 0.534048 | 0.0418298 | 0.0209149 | − | 0.999781i | \(-0.493342\pi\) | ||||
0.0209149 | + | 0.999781i | \(0.493342\pi\) | |||||||
\(164\) | −12.4777 | − | 11.3682i | −0.974346 | − | 0.887706i | ||||
\(165\) | 3.70699 | − | 6.42070i | 0.288589 | − | 0.499851i | ||||
\(166\) | 13.5098 | + | 9.87610i | 1.04856 | + | 0.766534i | ||||
\(167\) | 6.81811 | − | 11.8093i | 0.527601 | − | 0.913832i | −0.471881 | − | 0.881662i | \(-0.656425\pi\) |
0.999482 | − | 0.0321697i | \(-0.0102417\pi\) | |||||||
\(168\) | 1.51630 | − | 0.308385i | 0.116985 | − | 0.0237924i | ||||
\(169\) | −0.449417 | − | 0.778413i | −0.0345705 | − | 0.0598779i | ||||
\(170\) | −2.31679 | − | 5.24493i | −0.177690 | − | 0.402268i | ||||
\(171\) | 5.78783 | + | 3.28770i | 0.442606 | + | 0.251417i | ||||
\(172\) | −7.81701 | + | 8.57995i | −0.596041 | + | 0.654215i | ||||
\(173\) | −0.822987 | − | 1.42546i | −0.0625706 | − | 0.108375i | 0.833043 | − | 0.553208i | \(-0.186597\pi\) |
−0.895614 | + | 0.444833i | \(0.853263\pi\) | |||||||
\(174\) | −8.56903 | + | 11.7218i | −0.649616 | + | 0.888629i | ||||
\(175\) | 1.17255 | + | 0.676972i | 0.0886365 | + | 0.0511743i | ||||
\(176\) | 7.04682 | − | 4.99460i | 0.531174 | − | 0.376482i | ||||
\(177\) | 8.48469 | − | 14.6959i | 0.637748 | − | 1.10461i | ||||
\(178\) | −4.58745 | − | 10.3854i | −0.343844 | − | 0.778420i | ||||
\(179\) | − | 7.67159i | − | 0.573402i | −0.958020 | − | 0.286701i | \(-0.907441\pi\) | ||
0.958020 | − | 0.286701i | \(-0.0925586\pi\) | |||||||
\(180\) | −8.23310 | + | 2.62182i | −0.613659 | + | 0.195419i | ||||
\(181\) | 11.7649 | − | 20.3774i | 0.874479 | − | 1.51464i | 0.0171632 | − | 0.999853i | \(-0.494537\pi\) |
0.857316 | − | 0.514790i | \(-0.172130\pi\) | |||||||
\(182\) | 0.960285 | + | 2.17397i | 0.0711810 | + | 0.161145i | ||||
\(183\) | −2.98889 | −0.220945 | ||||||||
\(184\) | −2.76387 | + | 2.44492i | −0.203755 | + | 0.180242i | ||||
\(185\) | −16.4887 | + | 9.51977i | −1.21228 | + | 0.699908i | ||||
\(186\) | −0.848568 | − | 0.0917045i | −0.0622200 | − | 0.00672410i | ||||
\(187\) | 1.54731 | + | 2.68001i | 0.113150 | + | 0.195982i | ||||
\(188\) | −0.279918 | + | 1.27995i | −0.0204151 | + | 0.0933502i | ||||
\(189\) | 2.47663 | 0.180148 | ||||||||
\(190\) | 1.75214 | − | 17.3513i | 0.127114 | − | 1.25880i | ||||
\(191\) | − | 23.8645i | − | 1.72678i | −0.504540 | − | 0.863388i | \(-0.668338\pi\) | ||
0.504540 | − | 0.863388i | \(-0.331662\pi\) | |||||||
\(192\) | 9.63655 | + | 1.18458i | 0.695458 | + | 0.0854899i | ||||
\(193\) | 16.5463 | − | 9.55301i | 1.19103 | − | 0.687641i | 0.232489 | − | 0.972599i | \(-0.425313\pi\) |
0.958540 | + | 0.284958i | \(0.0919798\pi\) | |||||||
\(194\) | −8.88580 | − | 0.960286i | −0.637963 | − | 0.0689445i | ||||
\(195\) | 6.40016 | + | 11.0854i | 0.458325 | + | 0.793843i | ||||
\(196\) | 4.12477 | + | 12.9527i | 0.294627 | + | 0.925193i | ||||
\(197\) | 11.2480i | 0.801385i | 0.916213 | + | 0.400693i | \(0.131230\pi\) | ||||
−0.916213 | + | 0.400693i | \(0.868770\pi\) | |||||||
\(198\) | 4.26574 | − | 1.88426i | 0.303153 | − | 0.133909i | ||||
\(199\) | 9.91953 | + | 5.72704i | 0.703177 | + | 0.405979i | 0.808530 | − | 0.588456i | \(-0.200264\pi\) |
−0.105353 | + | 0.994435i | \(0.533597\pi\) | |||||||
\(200\) | 5.62888 | + | 6.36319i | 0.398022 | + | 0.449946i | ||||
\(201\) | −3.03611 | −0.214151 | ||||||||
\(202\) | 3.04227 | + | 6.88733i | 0.214053 | + | 0.484591i | ||||
\(203\) | 3.30253 | + | 1.90672i | 0.231792 | + | 0.133825i | ||||
\(204\) | −0.743183 | + | 3.39829i | −0.0520332 | + | 0.237928i | ||||
\(205\) | −11.9386 | + | 20.6782i | −0.833825 | + | 1.44423i | ||||
\(206\) | 20.4470 | + | 14.9474i | 1.42461 | + | 1.04143i | ||||
\(207\) | −1.72538 | + | 0.996149i | −0.119922 | + | 0.0692371i | ||||
\(208\) | 1.38473 | + | 14.8480i | 0.0960138 | + | 1.02953i | ||||
\(209\) | 0.0660065 | + | 9.41209i | 0.00456577 | + | 0.651048i | ||||
\(210\) | −0.884388 | − | 2.00215i | −0.0610286 | − | 0.138161i | ||||
\(211\) | −13.8288 | + | 7.98406i | −0.952013 | + | 0.549645i | −0.893706 | − | 0.448653i | \(-0.851904\pi\) |
−0.0583076 | + | 0.998299i | \(0.518570\pi\) | |||||||
\(212\) | −15.1008 | − | 3.30246i | −1.03713 | − | 0.226814i | ||||
\(213\) | 17.5589 | + | 10.1376i | 1.20312 | + | 0.694619i | ||||
\(214\) | −0.759279 | + | 1.03864i | −0.0519033 | + | 0.0710000i | ||||
\(215\) | 14.2188 | + | 8.20921i | 0.969712 | + | 0.559864i | ||||
\(216\) | 14.7366 | + | 4.93196i | 1.00270 | + | 0.335577i | ||||
\(217\) | 0.224160i | 0.0152170i | ||||||||
\(218\) | −0.284195 | + | 2.62974i | −0.0192481 | + | 0.178108i | ||||
\(219\) | −17.3531 | − | 10.0188i | −1.17262 | − | 0.677011i | ||||
\(220\) | −9.03151 | − | 8.22842i | −0.608904 | − | 0.554760i | ||||
\(221\) | −5.34288 | −0.359401 | ||||||||
\(222\) | 11.4840 | + | 1.24108i | 0.770759 | + | 0.0832956i | ||||
\(223\) | 8.06323 | + | 13.9659i | 0.539954 | + | 0.935227i | 0.998906 | + | 0.0467660i | \(0.0148915\pi\) |
−0.458952 | + | 0.888461i | \(0.651775\pi\) | |||||||
\(224\) | 0.0373822 | − | 2.54966i | 0.00249770 | − | 0.170356i | ||||
\(225\) | 2.29341 | + | 3.97230i | 0.152894 | + | 0.264820i | ||||
\(226\) | 1.95465 | − | 2.67382i | 0.130021 | − | 0.177860i | ||||
\(227\) | 13.0282i | 0.864715i | 0.901702 | + | 0.432357i | \(0.142318\pi\) | ||||
−0.901702 | + | 0.432357i | \(0.857682\pi\) | |||||||
\(228\) | −7.07052 | + | 7.87077i | −0.468257 | + | 0.521254i | ||||
\(229\) | − | 12.7253i | − | 0.840914i | −0.907312 | − | 0.420457i | \(-0.861870\pi\) | ||
0.907312 | − | 0.420457i | \(-0.138130\pi\) | |||||||
\(230\) | 4.21384 | + | 3.08045i | 0.277853 | + | 0.203119i | ||||
\(231\) | 0.590653 | + | 1.02304i | 0.0388621 | + | 0.0673111i | ||||
\(232\) | 15.8540 | + | 17.9222i | 1.04086 | + | 1.17665i | ||||
\(233\) | 5.77758 | + | 10.0071i | 0.378502 | + | 0.655585i | 0.990845 | − | 0.135008i | \(-0.0431060\pi\) |
−0.612343 | + | 0.790593i | \(0.709773\pi\) | |||||||
\(234\) | −0.865069 | + | 8.00474i | −0.0565513 | + | 0.523286i | ||||
\(235\) | 1.85333 | 0.120898 | ||||||||
\(236\) | −20.6716 | − | 18.8335i | −1.34561 | − | 1.22595i | ||||
\(237\) | −8.52466 | − | 4.92171i | −0.553736 | − | 0.319700i | ||||
\(238\) | 0.908310 | + | 0.0981607i | 0.0588770 | + | 0.00636282i | ||||
\(239\) | 18.8301i | 1.21802i | 0.793163 | + | 0.609010i | \(0.208433\pi\) | ||||
−0.793163 | + | 0.609010i | \(0.791567\pi\) | |||||||
\(240\) | −1.27529 | − | 13.6745i | −0.0823194 | − | 0.882685i | ||||
\(241\) | −8.47571 | − | 4.89346i | −0.545969 | − | 0.315215i | 0.201526 | − | 0.979483i | \(-0.435410\pi\) |
−0.747494 | + | 0.664268i | \(0.768743\pi\) | |||||||
\(242\) | −7.23514 | − | 5.28912i | −0.465093 | − | 0.339998i | ||||
\(243\) | 12.0812 | + | 6.97509i | 0.775009 | + | 0.447452i | ||||
\(244\) | −1.05231 | + | 4.81179i | −0.0673670 | + | 0.308043i | ||||
\(245\) | 16.6525 | − | 9.61432i | 1.06389 | − | 0.614236i | ||||
\(246\) | 13.2506 | − | 5.85307i | 0.844830 | − | 0.373178i | ||||
\(247\) | −14.1300 | − | 8.02634i | −0.899068 | − | 0.510704i | ||||
\(248\) | −0.446392 | + | 1.33382i | −0.0283459 | + | 0.0846975i | ||||
\(249\) | −12.4372 | + | 7.18063i | −0.788177 | + | 0.455054i | ||||
\(250\) | −4.71373 | + | 6.44805i | −0.298123 | + | 0.407810i | ||||
\(251\) | 8.19032 | − | 14.1861i | 0.516969 | − | 0.895416i | −0.482837 | − | 0.875710i | \(-0.660394\pi\) |
0.999806 | − | 0.0197059i | \(-0.00627298\pi\) | |||||||
\(252\) | 0.294130 | − | 1.34494i | 0.0185284 | − | 0.0847233i | ||||
\(253\) | −2.43972 | − | 1.40858i | −0.153384 | − | 0.0885564i | ||||
\(254\) | 2.75812 | − | 1.21831i | 0.173060 | − | 0.0764438i | ||||
\(255\) | 4.92060 | 0.308140 | ||||||||
\(256\) | 5.29982 | − | 15.0968i | 0.331239 | − | 0.943547i | ||||
\(257\) | 7.56834 | + | 4.36958i | 0.472100 | + | 0.272567i | 0.717118 | − | 0.696951i | \(-0.245461\pi\) |
−0.245019 | + | 0.969518i | \(0.578794\pi\) | |||||||
\(258\) | −4.02470 | − | 9.11142i | −0.250567 | − | 0.567252i | ||||
\(259\) | − | 3.03366i | − | 0.188502i | ||||||
\(260\) | 20.0996 | − | 6.40070i | 1.24653 | − | 0.396955i | ||||
\(261\) | 6.45946 | + | 11.1881i | 0.399831 | + | 0.692527i | ||||
\(262\) | 2.65133 | − | 24.5335i | 0.163800 | − | 1.51569i | ||||
\(263\) | −24.1288 | + | 13.9308i | −1.48785 | + | 0.859008i | −0.999904 | − | 0.0138683i | \(-0.995585\pi\) |
−0.487942 | + | 0.872876i | \(0.662252\pi\) | |||||||
\(264\) | 1.47727 | + | 7.26360i | 0.0909197 | + | 0.447044i | ||||
\(265\) | 21.8655i | 1.34319i | ||||||||
\(266\) | 2.25468 | + | 1.62411i | 0.138243 | + | 0.0995804i | ||||
\(267\) | 9.74322 | 0.596276 | ||||||||
\(268\) | −1.06893 | + | 4.88782i | −0.0652955 | + | 0.298571i | ||||
\(269\) | −11.8357 | − | 20.5001i | −0.721638 | − | 1.24991i | −0.960343 | − | 0.278822i | \(-0.910056\pi\) |
0.238704 | − | 0.971092i | \(-0.423277\pi\) | |||||||
\(270\) | 2.36183 | − | 21.8547i | 0.143736 | − | 1.33003i | ||||
\(271\) | −15.9524 | + | 9.21013i | −0.969041 | + | 0.559476i | −0.898944 | − | 0.438064i | \(-0.855664\pi\) |
−0.0700969 | + | 0.997540i | \(0.522331\pi\) | |||||||
\(272\) | 5.20922 | + | 2.39289i | 0.315855 | + | 0.145090i | ||||
\(273\) | −2.03954 | −0.123438 | ||||||||
\(274\) | −11.0963 | + | 4.90144i | −0.670349 | + | 0.296107i | ||||
\(275\) | −3.24293 | + | 5.61691i | −0.195556 | + | 0.338713i | ||||
\(276\) | −0.960889 | − | 3.01741i | −0.0578387 | − | 0.181627i | ||||
\(277\) | − | 26.0321i | − | 1.56412i | −0.623203 | − | 0.782060i | \(-0.714169\pi\) | ||
0.623203 | − | 0.782060i | \(-0.285831\pi\) | |||||||
\(278\) | −6.16143 | + | 2.72163i | −0.369538 | + | 0.163232i | ||||
\(279\) | −0.379699 | + | 0.657657i | −0.0227320 | + | 0.0393729i | ||||
\(280\) | −3.53461 | + | 0.718868i | −0.211233 | + | 0.0429606i | ||||
\(281\) | 18.1670 | + | 10.4887i | 1.08375 | + | 0.625706i | 0.931907 | − | 0.362698i | \(-0.118144\pi\) |
0.151848 | + | 0.988404i | \(0.451478\pi\) | |||||||
\(282\) | −0.907699 | − | 0.663557i | −0.0540527 | − | 0.0395143i | ||||
\(283\) | −5.72882 | − | 9.92260i | −0.340543 | − | 0.589837i | 0.643991 | − | 0.765033i | \(-0.277277\pi\) |
−0.984534 | + | 0.175196i | \(0.943944\pi\) | |||||||
\(284\) | 22.5025 | − | 24.6988i | 1.33528 | − | 1.46560i | ||||
\(285\) | 13.0132 | + | 7.39198i | 0.770835 | + | 0.437863i | ||||
\(286\) | −10.4140 | + | 4.60009i | −0.615795 | + | 0.272009i | ||||
\(287\) | −1.90223 | − | 3.29475i | −0.112285 | − | 0.194483i | ||||
\(288\) | 4.42847 | − | 7.41705i | 0.260950 | − | 0.437054i | ||||
\(289\) | 7.47307 | − | 12.9437i | 0.439592 | − | 0.761396i | ||||
\(290\) | 19.9750 | − | 27.3244i | 1.17297 | − | 1.60454i | ||||
\(291\) | 3.83496 | − | 6.64235i | 0.224810 | − | 0.389382i | ||||
\(292\) | −22.2388 | + | 24.4093i | −1.30143 | + | 1.42845i | ||||
\(293\) | −10.4003 | −0.607590 | −0.303795 | − | 0.952737i | \(-0.598254\pi\) | ||||
−0.303795 | + | 0.952737i | \(0.598254\pi\) | |||||||
\(294\) | −11.5981 | − | 1.25340i | −0.676415 | − | 0.0731000i | ||||
\(295\) | −19.7784 | + | 34.2572i | −1.15154 | + | 1.99453i | ||||
\(296\) | 6.04122 | − | 18.0511i | 0.351139 | − | 1.04920i | ||||
\(297\) | 11.8639i | 0.688413i | ||||||||
\(298\) | −15.1510 | − | 1.63736i | −0.877673 | − | 0.0948499i | ||||
\(299\) | 4.21221 | − | 2.43192i | 0.243598 | − | 0.140642i | ||||
\(300\) | −6.94690 | + | 2.21223i | −0.401079 | + | 0.127723i | ||||
\(301\) | −2.26554 | + | 1.30801i | −0.130584 | + | 0.0753926i | ||||
\(302\) | 6.17241 | + | 4.51223i | 0.355182 | + | 0.259649i | ||||
\(303\) | −6.46144 | −0.371200 | ||||||||
\(304\) | 10.1818 | + | 14.1539i | 0.583964 | + | 0.811780i | ||||
\(305\) | 6.96731 | 0.398947 | ||||||||
\(306\) | 2.49859 | + | 1.82655i | 0.142835 | + | 0.104417i | ||||
\(307\) | −2.39992 | + | 1.38560i | −0.136971 | + | 0.0790801i | −0.566920 | − | 0.823773i | \(-0.691865\pi\) |
0.429949 | + | 0.902853i | \(0.358532\pi\) | |||||||
\(308\) | 1.85494 | − | 0.590703i | 0.105695 | − | 0.0336584i | ||||
\(309\) | −18.8236 | + | 10.8678i | −1.07084 | + | 0.618249i | ||||
\(310\) | 1.97807 | + | 0.213770i | 0.112347 | + | 0.0121413i | ||||
\(311\) | − | 13.8001i | − | 0.782530i | −0.920278 | − | 0.391265i | \(-0.872038\pi\) | ||
0.920278 | − | 0.391265i | \(-0.127962\pi\) | |||||||
\(312\) | −12.1358 | − | 4.06153i | −0.687055 | − | 0.229939i | ||||
\(313\) | 5.89194 | − | 10.2051i | 0.333032 | − | 0.576829i | −0.650073 | − | 0.759872i | \(-0.725262\pi\) |
0.983105 | + | 0.183043i | \(0.0585949\pi\) | |||||||
\(314\) | −21.6398 | − | 2.33861i | −1.22121 | − | 0.131975i | ||||
\(315\) | −1.94743 | −0.109725 | ||||||||
\(316\) | −10.9247 | + | 11.9910i | −0.614564 | + | 0.674545i | ||||
\(317\) | 8.86581 | − | 15.3560i | 0.497953 | − | 0.862480i | −0.502044 | − | 0.864842i | \(-0.667418\pi\) |
0.999997 | + | 0.00236177i | \(0.000751775\pi\) | |||||||
\(318\) | 7.82862 | − | 10.7090i | 0.439007 | − | 0.600531i | ||||
\(319\) | −9.13381 | + | 15.8202i | −0.511395 | + | 0.885763i | ||||
\(320\) | −22.4635 | − | 2.76135i | −1.25575 | − | 0.154364i | ||||
\(321\) | −0.552051 | − | 0.956180i | −0.0308125 | − | 0.0533687i | ||||
\(322\) | −0.760771 | + | 0.336048i | −0.0423961 | + | 0.0187272i | ||||
\(323\) | −5.38792 | + | 3.16130i | −0.299792 | + | 0.175900i | ||||
\(324\) | −2.81074 | + | 3.08506i | −0.156152 | + | 0.171392i | ||||
\(325\) | −5.59894 | − | 9.69766i | −0.310574 | − | 0.537929i | ||||
\(326\) | 0.609712 | + | 0.445719i | 0.0337688 | + | 0.0246861i | ||||
\(327\) | −1.96579 | − | 1.13495i | −0.108709 | − | 0.0627630i | ||||
\(328\) | −4.75762 | − | 23.3928i | −0.262696 | − | 1.29165i | ||||
\(329\) | −0.147650 | + | 0.255737i | −0.00814020 | + | 0.0140992i | ||||
\(330\) | 9.59095 | − | 4.23652i | 0.527965 | − | 0.233212i | ||||
\(331\) | 27.3712i | 1.50445i | 0.658904 | + | 0.752227i | \(0.271020\pi\) | ||||
−0.658904 | + | 0.752227i | \(0.728980\pi\) | |||||||
\(332\) | 7.18124 | + | 22.5507i | 0.394122 | + | 1.23763i | ||||
\(333\) | 5.13863 | − | 8.90036i | 0.281595 | − | 0.487737i | ||||
\(334\) | 17.6402 | − | 7.79203i | 0.965229 | − | 0.426361i | ||||
\(335\) | 7.07739 | 0.386679 | ||||||||
\(336\) | 1.98851 | + | 0.913437i | 0.108482 | + | 0.0498321i | ||||
\(337\) | 10.7104 | − | 6.18363i | 0.583430 | − | 0.336844i | −0.179065 | − | 0.983837i | \(-0.557307\pi\) |
0.762495 | + | 0.646994i | \(0.223974\pi\) | |||||||
\(338\) | 0.136577 | − | 1.26378i | 0.00742880 | − | 0.0687408i | ||||
\(339\) | 1.42117 | + | 2.46154i | 0.0771873 | + | 0.133692i | ||||
\(340\) | 1.73241 | − | 7.92164i | 0.0939532 | − | 0.429611i | ||||
\(341\) | −1.07380 | −0.0581497 | ||||||||
\(342\) | 3.86392 | + | 8.58406i | 0.208937 | + | 0.464173i | ||||
\(343\) | 6.21917i | 0.335804i | ||||||||
\(344\) | −16.0854 | + | 3.27144i | −0.867266 | + | 0.176384i | ||||
\(345\) | −3.87929 | + | 2.23971i | −0.208854 | + | 0.120582i | ||||
\(346\) | 0.250104 | − | 2.31429i | 0.0134457 | − | 0.124417i | ||||
\(347\) | −5.69195 | − | 9.85874i | −0.305560 | − | 0.529245i | 0.671826 | − | 0.740709i | \(-0.265510\pi\) |
−0.977386 | + | 0.211464i | \(0.932177\pi\) | |||||||
\(348\) | −19.5662 | + | 6.23082i | −1.04886 | + | 0.334007i | ||||
\(349\) | − | 2.93676i | − | 0.157201i | −0.996906 | − | 0.0786007i | \(-0.974955\pi\) | ||
0.996906 | − | 0.0786007i | \(-0.0250452\pi\) | |||||||
\(350\) | 0.773674 | + | 1.75150i | 0.0413546 | + | 0.0936218i | ||||
\(351\) | −17.7389 | − | 10.2416i | −0.946833 | − | 0.546655i | ||||
\(352\) | 12.2137 | + | 0.179073i | 0.650994 | + | 0.00954464i | ||||
\(353\) | 19.1919 | 1.02148 | 0.510740 | − | 0.859735i | \(-0.329371\pi\) | ||||
0.510740 | + | 0.859735i | \(0.329371\pi\) | |||||||
\(354\) | 21.9521 | − | 9.69667i | 1.16674 | − | 0.515372i | ||||
\(355\) | −40.9310 | − | 23.6315i | −2.17239 | − | 1.25423i | ||||
\(356\) | 3.43033 | − | 15.6855i | 0.181807 | − | 0.831332i | ||||
\(357\) | −0.392011 | + | 0.678984i | −0.0207474 | + | 0.0359356i | ||||
\(358\) | 6.40275 | − | 8.75851i | 0.338396 | − | 0.462901i | ||||
\(359\) | 3.85728 | − | 2.22700i | 0.203579 | − | 0.117537i | −0.394745 | − | 0.918791i | \(-0.629167\pi\) |
0.598324 | + | 0.801254i | \(0.295834\pi\) | |||||||
\(360\) | −11.5878 | − | 3.87811i | −0.610728 | − | 0.204394i | ||||
\(361\) | −18.9981 | + | 0.266479i | −0.999902 | + | 0.0140252i | ||||
\(362\) | 30.4389 | − | 13.4455i | 1.59983 | − | 0.706678i | ||||
\(363\) | 6.66072 | − | 3.84557i | 0.349597 | − | 0.201840i | ||||
\(364\) | −0.718066 | + | 3.28343i | −0.0376369 | + | 0.172099i | ||||
\(365\) | 40.4514 | + | 23.3546i | 2.11732 | + | 1.22244i | ||||
\(366\) | −3.41235 | − | 2.49454i | −0.178367 | − | 0.130392i | ||||
\(367\) | 16.5629 | + | 9.56259i | 0.864576 | + | 0.499163i | 0.865542 | − | 0.500837i | \(-0.166974\pi\) |
−0.000966198 | 1.00000i | \(0.500308\pi\) | ||||||||
\(368\) | −5.19601 | + | 0.484581i | −0.270861 | + | 0.0252605i | ||||
\(369\) | − | 12.8885i | − | 0.670949i | ||||||
\(370\) | −26.7701 | − | 2.89304i | −1.39171 | − | 0.150402i | ||||
\(371\) | −3.01718 | − | 1.74197i | −0.156644 | − | 0.0904384i | ||||
\(372\) | −0.892257 | − | 0.812917i | −0.0462614 | − | 0.0421478i | ||||
\(373\) | −20.6810 | −1.07082 | −0.535411 | − | 0.844592i | \(-0.679843\pi\) | ||||
−0.535411 | + | 0.844592i | \(0.679843\pi\) | |||||||
\(374\) | −0.470223 | + | 4.35111i | −0.0243146 | + | 0.224991i | ||||
\(375\) | −3.42722 | − | 5.93612i | −0.176981 | − | 0.306540i | ||||
\(376\) | −1.38783 | + | 1.22768i | −0.0715720 | + | 0.0633126i | ||||
\(377\) | −15.7696 | − | 27.3138i | −0.812177 | − | 1.40673i | ||||
\(378\) | 2.82752 | + | 2.06701i | 0.145432 | + | 0.106315i | ||||
\(379\) | − | 2.56021i | − | 0.131509i | −0.997836 | − | 0.0657546i | \(-0.979055\pi\) | ||
0.997836 | − | 0.0657546i | \(-0.0209454\pi\) | |||||||
\(380\) | 16.4819 | − | 18.3473i | 0.845502 | − | 0.941197i | ||||
\(381\) | 2.58756i | 0.132565i | ||||||||
\(382\) | 19.9175 | − | 27.2457i | 1.01907 | − | 1.39401i | ||||
\(383\) | 9.13650 | + | 15.8249i | 0.466853 | + | 0.808613i | 0.999283 | − | 0.0378608i | \(-0.0120543\pi\) |
−0.532430 | + | 0.846474i | \(0.678721\pi\) | |||||||
\(384\) | 10.0132 | + | 9.39513i | 0.510984 | + | 0.479443i | ||||
\(385\) | −1.37685 | − | 2.38478i | −0.0701709 | − | 0.121540i | ||||
\(386\) | 26.8636 | + | 2.90314i | 1.36732 | + | 0.147766i | ||||
\(387\) | −8.86241 | −0.450502 | ||||||||
\(388\) | −9.34329 | − | 8.51247i | −0.474334 | − | 0.432155i | ||||
\(389\) | 12.4317 | + | 7.17743i | 0.630311 | + | 0.363910i | 0.780872 | − | 0.624690i | \(-0.214775\pi\) |
−0.150562 | + | 0.988601i | \(0.548108\pi\) | |||||||
\(390\) | −1.94500 | + | 17.9976i | −0.0984887 | + | 0.911344i | ||||
\(391\) | − | 1.86972i | − | 0.0945558i | ||||||
\(392\) | −6.10122 | + | 18.2304i | −0.308158 | + | 0.920775i | ||||
\(393\) | 18.3394 | + | 10.5883i | 0.925100 | + | 0.534107i | ||||
\(394\) | −9.38762 | + | 12.8416i | −0.472941 | + | 0.646950i | ||||
\(395\) | 19.8716 | + | 11.4729i | 0.999847 | + | 0.577262i | ||||
\(396\) | 6.44272 | + | 1.40898i | 0.323759 | + | 0.0708040i | ||||
\(397\) | 22.8960 | − | 13.2190i | 1.14912 | − | 0.663444i | 0.200447 | − | 0.979705i | \(-0.435761\pi\) |
0.948673 | + | 0.316260i | \(0.102427\pi\) | |||||||
\(398\) | 6.54512 | + | 14.8173i | 0.328077 | + | 0.742726i | ||||
\(399\) | −2.05673 | + | 1.20676i | −0.102965 | + | 0.0604137i | ||||
\(400\) | 1.11564 | + | 11.9626i | 0.0557819 | + | 0.598131i | ||||
\(401\) | −6.10144 | + | 3.52267i | −0.304691 | + | 0.175914i | −0.644549 | − | 0.764563i | \(-0.722955\pi\) |
0.339857 | + | 0.940477i | \(0.389621\pi\) | |||||||
\(402\) | −3.46627 | − | 2.53396i | −0.172882 | − | 0.126382i | ||||
\(403\) | 0.926966 | − | 1.60555i | 0.0461755 | − | 0.0799783i | ||||
\(404\) | −2.27490 | + | 10.4022i | −0.113180 | + | 0.517530i | ||||
\(405\) | 5.11260 | + | 2.95176i | 0.254047 | + | 0.146674i | ||||
\(406\) | 2.17908 | + | 4.93317i | 0.108146 | + | 0.244829i | ||||
\(407\) | 14.5323 | 0.720337 | ||||||||
\(408\) | −3.68470 | + | 3.25949i | −0.182420 | + | 0.161369i | ||||
\(409\) | 17.6696 | + | 10.2015i | 0.873705 | + | 0.504434i | 0.868578 | − | 0.495553i | \(-0.165035\pi\) |
0.00512749 | + | 0.999987i | \(0.498368\pi\) | |||||||
\(410\) | −30.8882 | + | 13.6439i | −1.52546 | + | 0.673825i | ||||
\(411\) | − | 10.4101i | − | 0.513492i | ||||||
\(412\) | 10.8687 | + | 34.1303i | 0.535465 | + | 1.68148i | ||||
\(413\) | −3.15139 | − | 5.45836i | −0.155070 | − | 0.268588i | ||||
\(414\) | −2.80122 | − | 0.302727i | −0.137673 | − | 0.0148782i | ||||
\(415\) | 28.9920 | − | 16.7386i | 1.42316 | − | 0.821664i | ||||
\(416\) | −10.8113 | + | 18.1074i | −0.530068 | + | 0.887789i | ||||
\(417\) | − | 5.78043i | − | 0.283069i | ||||||
\(418\) | −7.78002 | + | 10.8007i | −0.380533 | + | 0.528279i | ||||
\(419\) | −7.69306 | −0.375831 | −0.187915 | − | 0.982185i | \(-0.560173\pi\) | ||||
−0.187915 | + | 0.982185i | \(0.560173\pi\) | |||||||
\(420\) | 0.661313 | − | 3.02393i | 0.0322688 | − | 0.147552i | ||||
\(421\) | −3.05025 | − | 5.28319i | −0.148660 | − | 0.257487i | 0.782072 | − | 0.623188i | \(-0.214163\pi\) |
−0.930732 | + | 0.365701i | \(0.880829\pi\) | |||||||
\(422\) | −22.4516 | − | 2.42634i | −1.09293 | − | 0.118112i | ||||
\(423\) | −0.866371 | + | 0.500199i | −0.0421244 | + | 0.0243205i | ||||
\(424\) | −14.4841 | − | 16.3736i | −0.703410 | − | 0.795172i | ||||
\(425\) | −4.30461 | −0.208804 | ||||||||
\(426\) | 11.5857 | + | 26.2287i | 0.561331 | + | 1.27078i | ||||
\(427\) | −0.555067 | + | 0.961404i | −0.0268616 | + | 0.0465256i | ||||
\(428\) | −1.73371 | + | 0.552097i | −0.0838020 | + | 0.0266866i | ||||
\(429\) | − | 9.77007i | − | 0.471703i | ||||||
\(430\) | 9.38185 | + | 21.2394i | 0.452433 | + | 1.02425i | ||||
\(431\) | −4.72335 | + | 8.18108i | −0.227516 | + | 0.394069i | −0.957071 | − | 0.289853i | \(-0.906394\pi\) |
0.729555 | + | 0.683922i | \(0.239727\pi\) | |||||||
\(432\) | 12.7083 | + | 17.9300i | 0.611429 | + | 0.862658i | ||||
\(433\) | −14.9419 | − | 8.62669i | −0.718061 | − | 0.414572i | 0.0959778 | − | 0.995383i | \(-0.469402\pi\) |
−0.814038 | + | 0.580811i | \(0.802736\pi\) | |||||||
\(434\) | −0.187085 | + | 0.255919i | −0.00898038 | + | 0.0122845i | ||||
\(435\) | 14.5233 | + | 25.1550i | 0.696337 | + | 1.20609i | ||||
\(436\) | −2.51925 | + | 2.76513i | −0.120650 | + | 0.132426i | ||||
\(437\) | 2.80879 | − | 4.94472i | 0.134362 | − | 0.236538i | ||||
\(438\) | −11.4500 | − | 25.9213i | −0.547101 | − | 1.23857i | ||||
\(439\) | −4.84656 | − | 8.39450i | −0.231314 | − | 0.400647i | 0.726881 | − | 0.686763i | \(-0.240969\pi\) |
−0.958195 | + | 0.286116i | \(0.907636\pi\) | |||||||
\(440\) | −3.44362 | − | 16.9320i | −0.164168 | − | 0.807200i | ||||
\(441\) | −5.18966 | + | 8.98876i | −0.247127 | + | 0.428036i | ||||
\(442\) | −6.09986 | − | 4.45920i | −0.290141 | − | 0.212102i | ||||
\(443\) | 8.03408 | − | 13.9154i | 0.381711 | − | 0.661142i | −0.609596 | − | 0.792712i | \(-0.708668\pi\) |
0.991307 | + | 0.131570i | \(0.0420018\pi\) | |||||||
\(444\) | 12.0753 | + | 11.0016i | 0.573069 | + | 0.522111i | ||||
\(445\) | −22.7121 | −1.07666 | ||||||||
\(446\) | −2.45040 | + | 22.6742i | −0.116030 | + | 1.07366i | ||||
\(447\) | 6.53892 | − | 11.3257i | 0.309280 | − | 0.535689i | ||||
\(448\) | 2.17064 | − | 2.87970i | 0.102553 | − | 0.136053i | ||||
\(449\) | 12.4409i | 0.587123i | 0.955940 | + | 0.293562i | \(0.0948406\pi\) | ||||
−0.955940 | + | 0.293562i | \(0.905159\pi\) | |||||||
\(450\) | −0.696961 | + | 6.44918i | −0.0328551 | + | 0.304017i | ||||
\(451\) | 15.7830 | − | 9.11231i | 0.743192 | − | 0.429082i | ||||
\(452\) | 4.46317 | − | 1.42129i | 0.209930 | − | 0.0668518i | ||||
\(453\) | −5.68236 | + | 3.28071i | −0.266981 | + | 0.154141i | ||||
\(454\) | −10.8734 | + | 14.8741i | −0.510315 | + | 0.698075i | ||||
\(455\) | 4.75430 | 0.222885 | ||||||||
\(456\) | −14.6413 | + | 3.08481i | −0.685640 | + | 0.144460i | ||||
\(457\) | −23.5694 | −1.10253 | −0.551265 | − | 0.834330i | \(-0.685855\pi\) | ||||
−0.551265 | + | 0.834330i | \(0.685855\pi\) | |||||||
\(458\) | 10.6206 | − | 14.5283i | 0.496270 | − | 0.678862i | ||||
\(459\) | −6.81906 | + | 3.93698i | −0.318286 | + | 0.183763i | ||||
\(460\) | 2.23990 | + | 7.03379i | 0.104436 | + | 0.327952i | ||||
\(461\) | −0.956655 | + | 0.552325i | −0.0445559 | + | 0.0257243i | −0.522112 | − | 0.852877i | \(-0.674856\pi\) |
0.477557 | + | 0.878601i | \(0.341523\pi\) | |||||||
\(462\) | −0.179498 | + | 1.66095i | −0.00835100 | + | 0.0772743i | ||||
\(463\) | − | 26.1205i | − | 1.21392i | −0.794731 | − | 0.606962i | \(-0.792388\pi\) | ||
0.794731 | − | 0.606962i | \(-0.207612\pi\) | |||||||
\(464\) | 3.14223 | + | 33.6932i | 0.145874 | + | 1.56417i | ||||
\(465\) | −0.853703 | + | 1.47866i | −0.0395895 | + | 0.0685711i | ||||
\(466\) | −1.75579 | + | 16.2469i | −0.0813356 | + | 0.752622i | ||||
\(467\) | −18.4324 | −0.852950 | −0.426475 | − | 0.904499i | \(-0.640245\pi\) | ||||
−0.426475 | + | 0.904499i | \(0.640245\pi\) | |||||||
\(468\) | −7.66842 | + | 8.41686i | −0.354473 | + | 0.389069i | ||||
\(469\) | −0.563837 | + | 0.976594i | −0.0260356 | + | 0.0450949i | ||||
\(470\) | 2.11591 | + | 1.54680i | 0.0975997 | + | 0.0713485i | ||||
\(471\) | 9.33940 | − | 16.1763i | 0.430337 | − | 0.745365i | ||||
\(472\) | −7.88187 | − | 38.7544i | −0.362792 | − | 1.78382i | ||||
\(473\) | −6.26582 | − | 10.8527i | −0.288103 | − | 0.499008i | ||||
\(474\) | −5.62475 | − | 12.7337i | −0.258353 | − | 0.584880i | ||||
\(475\) | −11.3841 | − | 6.46659i | −0.522338 | − | 0.296708i | ||||
\(476\) | 0.955074 | + | 0.870148i | 0.0437758 | + | 0.0398832i | ||||
\(477\) | −5.90133 | − | 10.2214i | −0.270204 | − | 0.468006i | ||||
\(478\) | −15.7157 | + | 21.4980i | −0.718820 | + | 0.983295i | ||||
\(479\) | −26.2671 | − | 15.1653i | −1.20018 | − | 0.692922i | −0.239581 | − | 0.970876i | \(-0.577010\pi\) |
−0.960594 | + | 0.277955i | \(0.910343\pi\) | |||||||
\(480\) | 9.95684 | − | 16.6763i | 0.454465 | − | 0.761164i | ||||
\(481\) | −12.5450 | + | 21.7287i | −0.572005 | + | 0.990741i | ||||
\(482\) | −5.59245 | − | 12.6606i | −0.254729 | − | 0.576676i | ||||
\(483\) | − | 0.713727i | − | 0.0324757i | ||||||
\(484\) | −3.84589 | − | 12.0770i | −0.174813 | − | 0.548953i | ||||
\(485\) | −8.93957 | + | 15.4838i | −0.405925 | + | 0.703083i | ||||
\(486\) | 7.97143 | + | 18.0464i | 0.361592 | + | 0.818599i | ||||
\(487\) | 41.6132 | 1.88568 | 0.942838 | − | 0.333253i | \(-0.108146\pi\) | ||||
0.942838 | + | 0.333253i | \(0.108146\pi\) | |||||||
\(488\) | −5.21734 | + | 4.61526i | −0.236178 | + | 0.208923i | ||||
\(489\) | −0.561305 | + | 0.324070i | −0.0253831 | + | 0.0146549i | ||||
\(490\) | 27.0360 | + | 2.92177i | 1.22136 | + | 0.131992i | ||||
\(491\) | 15.3752 | + | 26.6306i | 0.693873 | + | 1.20182i | 0.970559 | + | 0.240863i | \(0.0774304\pi\) |
−0.276686 | + | 0.960960i | \(0.589236\pi\) | |||||||
\(492\) | 20.0130 | + | 4.37671i | 0.902255 | + | 0.197317i | ||||
\(493\) | −12.1241 | −0.546041 | ||||||||
\(494\) | −9.43307 | − | 20.9565i | −0.424414 | − | 0.942875i | ||||
\(495\) | − | 9.32884i | − | 0.419300i | ||||||
\(496\) | −1.62285 | + | 1.15023i | −0.0728680 | + | 0.0516469i | ||||
\(497\) | 6.52173 | − | 3.76532i | 0.292540 | − | 0.168898i | ||||
\(498\) | −20.1923 | − | 2.18218i | −0.904840 | − | 0.0977857i | ||||
\(499\) | 12.0566 | + | 20.8826i | 0.539728 | + | 0.934835i | 0.998918 | + | 0.0464978i | \(0.0148061\pi\) |
−0.459191 | + | 0.888338i | \(0.651861\pi\) | |||||||
\(500\) | −10.7631 | + | 3.42751i | −0.481343 | + | 0.153283i | ||||
\(501\) | 16.5494i | 0.739373i | ||||||||
\(502\) | 21.1905 | − | 9.36026i | 0.945778 | − | 0.417769i | ||||
\(503\) | 10.6337 | + | 6.13939i | 0.474135 | + | 0.273742i | 0.717969 | − | 0.696075i | \(-0.245072\pi\) |
−0.243834 | + | 0.969817i | \(0.578405\pi\) | |||||||
\(504\) | 1.45830 | − | 1.29001i | 0.0649577 | − | 0.0574617i | ||||
\(505\) | 15.0621 | 0.670253 | ||||||||
\(506\) | −1.60978 | − | 3.64435i | −0.0715635 | − | 0.162011i | ||||
\(507\) | 0.944710 | + | 0.545429i | 0.0419560 | + | 0.0242233i | ||||
\(508\) | 4.16570 | + | 0.911011i | 0.184823 | + | 0.0404196i | ||||
\(509\) | 2.27630 | − | 3.94266i | 0.100895 | − | 0.174755i | −0.811159 | − | 0.584826i | \(-0.801163\pi\) |
0.912054 | + | 0.410071i | \(0.134496\pi\) | |||||||
\(510\) | 5.61776 | + | 4.10676i | 0.248758 | + | 0.181850i | ||||
\(511\) | −6.44531 | + | 3.72120i | −0.285124 | + | 0.164616i | ||||
\(512\) | 18.6505 | − | 12.8124i | 0.824245 | − | 0.566234i | ||||
\(513\) | −23.9482 | + | 0.167948i | −1.05734 | + | 0.00741507i | ||||
\(514\) | 4.99375 | + | 11.3052i | 0.220265 | + | 0.498653i | ||||
\(515\) | 43.8792 | − | 25.3337i | 1.93355 | − | 1.11633i | ||||
\(516\) | 3.00952 | − | 13.7614i | 0.132487 | − | 0.605810i | ||||
\(517\) | −1.22507 | − | 0.707292i | −0.0538784 | − | 0.0311067i | ||||
\(518\) | 2.53191 | − | 3.46347i | 0.111246 | − | 0.152176i | ||||
\(519\) | 1.72998 | + | 0.998807i | 0.0759379 | + | 0.0438428i | ||||
\(520\) | 28.2894 | + | 9.46770i | 1.24057 | + | 0.415186i | ||||
\(521\) | − | 14.0347i | − | 0.614871i | −0.951569 | − | 0.307436i | \(-0.900529\pi\) | ||
0.951569 | − | 0.307436i | \(-0.0994709\pi\) | |||||||
\(522\) | −1.96302 | + | 18.1644i | −0.0859189 | + | 0.795032i | ||||
\(523\) | −5.94814 | − | 3.43416i | −0.260094 | − | 0.150165i | 0.364283 | − | 0.931288i | \(-0.381314\pi\) |
−0.624378 | + | 0.781123i | \(0.714647\pi\) | |||||||
\(524\) | 23.5028 | − | 25.7966i | 1.02672 | − | 1.12693i | ||||
\(525\) | −1.64320 | −0.0717149 | ||||||||
\(526\) | −39.1741 | − | 4.23353i | −1.70807 | − | 0.184591i | ||||
\(527\) | −0.356337 | − | 0.617194i | −0.0155223 | − | 0.0268854i | ||||
\(528\) | −4.37567 | + | 9.52565i | −0.190427 | + | 0.414551i | ||||
\(529\) | −10.6490 | − | 18.4445i | −0.462998 | − | 0.801936i | ||||
\(530\) | −18.2491 | + | 24.9634i | −0.792689 | + | 1.08434i | ||||
\(531\) | − | 21.3522i | − | 0.926605i | ||||||
\(532\) | 1.21864 | + | 3.73598i | 0.0528347 | + | 0.161975i | ||||
\(533\) | 31.4650i | 1.36290i | ||||||||
\(534\) | 11.1236 | + | 8.13174i | 0.481367 | + | 0.351895i | ||||
\(535\) | 1.28687 | + | 2.22892i | 0.0556362 | + | 0.0963647i | ||||
\(536\) | −5.29978 | + | 4.68819i | −0.228915 | + | 0.202499i | ||||
\(537\) | 4.65526 | + | 8.06314i | 0.200889 | + | 0.347950i | ||||
\(538\) | 3.59686 | − | 33.2828i | 0.155072 | − | 1.43492i | ||||
\(539\) | −14.6766 | −0.632165 | ||||||||
\(540\) | 20.9365 | − | 22.9799i | 0.900963 | − | 0.988896i | ||||
\(541\) | 34.4443 | + | 19.8865i | 1.48088 | + | 0.854985i | 0.999765 | − | 0.0216733i | \(-0.00689936\pi\) |
0.481113 | + | 0.876659i | \(0.340233\pi\) | |||||||
\(542\) | −25.8994 | − | 2.79894i | −1.11247 | − | 0.120225i | ||||
\(543\) | 28.5566i | 1.22548i | ||||||||
\(544\) | 3.95015 | + | 7.07956i | 0.169361 | + | 0.303534i | ||||
\(545\) | 4.58240 | + | 2.64565i | 0.196289 | + | 0.113327i | ||||
\(546\) | −2.32850 | − | 1.70221i | −0.0996506 | − | 0.0728477i | ||||
\(547\) | −9.78439 | − | 5.64902i | −0.418350 | − | 0.241535i | 0.276021 | − | 0.961152i | \(-0.410984\pi\) |
−0.694371 | + | 0.719617i | \(0.744317\pi\) | |||||||
\(548\) | −16.7591 | − | 3.66511i | −0.715915 | − | 0.156566i | ||||
\(549\) | −3.25699 | + | 1.88042i | −0.139005 | + | 0.0802545i | ||||
\(550\) | −8.39029 | + | 3.70616i | −0.357763 | + | 0.158031i | ||||
\(551\) | −32.0637 | − | 18.2134i | −1.36596 | − | 0.775916i | ||||
\(552\) | 1.42132 | − | 4.24688i | 0.0604952 | − | 0.180759i | ||||
\(553\) | −3.16623 | + | 1.82802i | −0.134642 | + | 0.0777355i | ||||
\(554\) | 21.7266 | − | 29.7204i | 0.923073 | − | 1.26270i | ||||
\(555\) | 11.5535 | − | 20.0113i | 0.490420 | − | 0.849433i | ||||
\(556\) | −9.30587 | − | 2.03513i | −0.394657 | − | 0.0863088i | ||||
\(557\) | −20.8369 | − | 12.0302i | −0.882888 | − | 0.509735i | −0.0112782 | − | 0.999936i | \(-0.503590\pi\) |
−0.871609 | + | 0.490201i | \(0.836923\pi\) | |||||||
\(558\) | −0.982379 | + | 0.433936i | −0.0415874 | + | 0.0183700i | ||||
\(559\) | 21.6360 | 0.915106 | ||||||||
\(560\) | −4.63537 | − | 2.12929i | −0.195880 | − | 0.0899787i | ||||
\(561\) | −3.25256 | − | 1.87787i | −0.137323 | − | 0.0792836i | ||||
\(562\) | 11.9870 | + | 27.1371i | 0.505641 | + | 1.14471i | ||||
\(563\) | 30.2137i | 1.27336i | 0.771130 | + | 0.636678i | \(0.219692\pi\) | ||||
−0.771130 | + | 0.636678i | \(0.780308\pi\) | |||||||
\(564\) | −0.482494 | − | 1.51514i | −0.0203167 | − | 0.0637989i | ||||
\(565\) | −3.31284 | − | 5.73801i | −0.139372 | − | 0.241400i | ||||
\(566\) | 1.74097 | − | 16.1097i | 0.0731786 | − | 0.677143i | ||||
\(567\) | −0.814614 | + | 0.470318i | −0.0342106 | + | 0.0197515i | ||||
\(568\) | 46.3044 | − | 9.41737i | 1.94289 | − | 0.395144i | ||||
\(569\) | − | 31.3114i | − | 1.31264i | −0.754482 | − | 0.656320i | \(-0.772112\pi\) | ||
0.754482 | − | 0.656320i | \(-0.227888\pi\) | |||||||
\(570\) | 8.68752 | + | 19.3001i | 0.363880 | + | 0.808394i | ||||
\(571\) | −36.8938 | −1.54396 | −0.771978 | − | 0.635649i | \(-0.780733\pi\) | ||||
−0.771978 | + | 0.635649i | \(0.780733\pi\) | |||||||
\(572\) | −15.7288 | − | 3.43978i | −0.657652 | − | 0.143824i | ||||
\(573\) | 14.4814 | + | 25.0826i | 0.604970 | + | 1.04784i | ||||
\(574\) | 0.578083 | − | 5.34917i | 0.0241287 | − | 0.223270i | ||||
\(575\) | 3.39366 | − | 1.95933i | 0.141525 | − | 0.0817096i | ||||
\(576\) | 11.2462 | − | 4.77188i | 0.468592 | − | 0.198828i | ||||
\(577\) | −1.16074 | −0.0483220 | −0.0241610 | − | 0.999708i | \(-0.507691\pi\) | ||||
−0.0241610 | + | 0.999708i | \(0.507691\pi\) | |||||||
\(578\) | 19.3348 | − | 8.54055i | 0.804220 | − | 0.355240i | ||||
\(579\) | −11.5939 | + | 20.0812i | −0.481825 | + | 0.834545i | ||||
\(580\) | 45.6101 | − | 14.5245i | 1.89386 | − | 0.603096i | ||||
\(581\) | 5.33407i | 0.221294i | ||||||||
\(582\) | 9.92205 | − | 4.38277i | 0.411282 | − | 0.181671i | ||||
\(583\) | 8.34461 | − | 14.4533i | 0.345598 | − | 0.598594i | ||||
\(584\) | −45.7618 | + | 9.30702i | −1.89364 | + | 0.385127i | ||||
\(585\) | 13.9485 | + | 8.05317i | 0.576700 | + | 0.332958i | ||||
\(586\) | −11.8738 | − | 8.68011i | −0.490501 | − | 0.358572i | ||||
\(587\) | −0.751317 | − | 1.30132i | −0.0310102 | − | 0.0537112i | 0.850104 | − | 0.526615i | \(-0.176539\pi\) |
−0.881114 | + | 0.472904i | \(0.843206\pi\) | |||||||
\(588\) | −12.1952 | − | 11.1108i | −0.502923 | − | 0.458202i | ||||
\(589\) | −0.0152010 | − | 2.16756i | −0.000626346 | − | 0.0893127i | ||||
\(590\) | −51.1718 | + | 22.6036i | −2.10671 | + | 0.930576i | ||||
\(591\) | −6.82547 | − | 11.8221i | −0.280763 | − | 0.486295i | ||||
\(592\) | 21.9627 | − | 15.5666i | 0.902662 | − | 0.639783i | ||||
\(593\) | 9.24084 | − | 16.0056i | 0.379476 | − | 0.657271i | −0.611510 | − | 0.791237i | \(-0.709438\pi\) |
0.990986 | + | 0.133965i | \(0.0427710\pi\) | |||||||
\(594\) | −9.90167 | + | 13.5448i | −0.406270 | + | 0.555749i | ||||
\(595\) | 0.913806 | − | 1.58276i | 0.0374624 | − | 0.0648868i | ||||
\(596\) | −15.9310 | − | 14.5144i | −0.652561 | − | 0.594534i | ||||
\(597\) | −13.9011 | −0.568934 | ||||||||
\(598\) | 6.83869 | + | 0.739055i | 0.279655 | + | 0.0302222i | ||||
\(599\) | −16.6212 | + | 28.7888i | −0.679124 | + | 1.17628i | 0.296121 | + | 0.955150i | \(0.404307\pi\) |
−0.975245 | + | 0.221127i | \(0.929027\pi\) | |||||||
\(600\) | −9.77748 | − | 3.27226i | −0.399164 | − | 0.133589i | ||||
\(601\) | 11.1345i | 0.454186i | 0.973873 | + | 0.227093i | \(0.0729221\pi\) | ||||
−0.973873 | + | 0.227093i | \(0.927078\pi\) | |||||||
\(602\) | −3.67820 | − | 0.397502i | −0.149912 | − | 0.0162010i | ||||
\(603\) | −3.30845 | + | 1.91013i | −0.134730 | + | 0.0777867i | ||||
\(604\) | 3.28099 | + | 10.3030i | 0.133502 | + | 0.419225i | ||||
\(605\) | −15.5266 | + | 8.96429i | −0.631247 | + | 0.364450i | ||||
\(606\) | −7.37690 | − | 5.39275i | −0.299666 | − | 0.219065i | ||||
\(607\) | −11.2378 | −0.456127 | −0.228064 | − | 0.973646i | \(-0.573239\pi\) | ||||
−0.228064 | + | 0.973646i | \(0.573239\pi\) | |||||||
\(608\) | −0.188574 | + | 24.6569i | −0.00764769 | + | 0.999971i | ||||
\(609\) | −4.62812 | −0.187541 | ||||||||
\(610\) | 7.95444 | + | 5.81495i | 0.322066 | + | 0.235440i | ||||
\(611\) | 2.11509 | − | 1.22115i | 0.0855674 | − | 0.0494024i | ||||
\(612\) | 1.32815 | + | 4.17067i | 0.0536871 | + | 0.168589i | ||||
\(613\) | 20.5664 | − | 11.8740i | 0.830669 | − | 0.479587i | −0.0234126 | − | 0.999726i | \(-0.507453\pi\) |
0.854082 | + | 0.520139i | \(0.174120\pi\) | |||||||
\(614\) | −3.89637 | − | 0.421079i | −0.157245 | − | 0.0169934i | ||||
\(615\) | − | 28.9781i | − | 1.16851i | ||||||
\(616\) | 2.61075 | + | 0.873747i | 0.105190 | + | 0.0352043i | ||||
\(617\) | −2.53920 | + | 4.39802i | −0.102224 | + | 0.177058i | −0.912601 | − | 0.408852i | \(-0.865929\pi\) |
0.810376 | + | 0.585910i | \(0.199263\pi\) | |||||||
\(618\) | −30.5609 | − | 3.30271i | −1.22934 | − | 0.132854i | ||||
\(619\) | 45.0160 | 1.80935 | 0.904674 | − | 0.426105i | \(-0.140115\pi\) | ||||
0.904674 | + | 0.426105i | \(0.140115\pi\) | |||||||
\(620\) | 2.07991 | + | 1.89497i | 0.0835313 | + | 0.0761036i | ||||
\(621\) | 3.58400 | − | 6.20766i | 0.143821 | − | 0.249105i | ||||
\(622\) | 11.5176 | − | 15.7553i | 0.461814 | − | 0.631728i | ||||
\(623\) | 1.80941 | − | 3.13400i | 0.0724927 | − | 0.125561i | ||||
\(624\) | −10.4655 | − | 14.7656i | −0.418953 | − | 0.591096i | ||||
\(625\) | 15.4982 | + | 26.8436i | 0.619927 | + | 1.07375i | ||||
\(626\) | 15.2440 | − | 6.73357i | 0.609272 | − | 0.269127i | ||||
\(627\) | −5.78080 | − | 9.85242i | −0.230863 | − | 0.393468i | ||||
\(628\) | −22.7540 | − | 20.7307i | −0.907982 | − | 0.827244i | ||||
\(629\) | 4.82247 | + | 8.35276i | 0.192284 | + | 0.333046i | ||||
\(630\) | −2.22334 | − | 1.62533i | −0.0885801 | − | 0.0647549i | ||||
\(631\) | −20.6719 | − | 11.9349i | −0.822936 | − | 0.475122i | 0.0284918 | − | 0.999594i | \(-0.490930\pi\) |
−0.851428 | + | 0.524472i | \(0.824263\pi\) | |||||||
\(632\) | −22.4803 | + | 4.57203i | −0.894218 | + | 0.181866i | ||||
\(633\) | 9.68974 | − | 16.7831i | 0.385132 | − | 0.667069i | ||||
\(634\) | 22.9381 | − | 10.1322i | 0.910990 | − | 0.402402i | ||||
\(635\) | − | 6.03179i | − | 0.239364i | ||||||
\(636\) | 17.8756 | − | 5.69245i | 0.708813 | − | 0.225720i | ||||
\(637\) | 12.6696 | − | 21.9445i | 0.501989 | − | 0.869471i | ||||
\(638\) | −23.6315 | + | 10.4385i | −0.935582 | + | 0.413265i | ||||
\(639\) | 25.5119 | 1.00923 | ||||||||
\(640\) | −23.3415 | − | 21.9007i | −0.922653 | − | 0.865701i | ||||
\(641\) | −0.303877 | + | 0.175444i | −0.0120024 | + | 0.00692960i | −0.505989 | − | 0.862540i | \(-0.668872\pi\) |
0.493987 | + | 0.869469i | \(0.335539\pi\) | |||||||
\(642\) | 0.167767 | − | 1.55240i | 0.00662123 | − | 0.0612682i | ||||
\(643\) | 7.67194 | + | 13.2882i | 0.302552 | + | 0.524035i | 0.976713 | − | 0.214549i | \(-0.0688281\pi\) |
−0.674161 | + | 0.738584i | \(0.735495\pi\) | |||||||
\(644\) | −1.14902 | − | 0.251284i | −0.0452779 | − | 0.00990198i | ||||
\(645\) | −19.9260 | −0.784585 | ||||||||
\(646\) | −8.78972 | − | 0.887588i | −0.345827 | − | 0.0349217i | ||||
\(647\) | 12.4035i | 0.487632i | 0.969821 | + | 0.243816i | \(0.0783994\pi\) | ||||
−0.969821 | + | 0.243816i | \(0.921601\pi\) | |||||||
\(648\) | −5.78378 | + | 1.17630i | −0.227208 | + | 0.0462095i | ||||
\(649\) | 26.1474 | − | 15.0962i | 1.02637 | − | 0.592578i | ||||
\(650\) | 1.70151 | − | 15.7445i | 0.0667386 | − | 0.617551i | ||||
\(651\) | −0.136024 | − | 0.235601i | −0.00533122 | − | 0.00923394i | ||||
\(652\) | 0.324097 | + | 1.01774i | 0.0126926 | + | 0.0398577i | ||||
\(653\) | 38.6270i | 1.51159i | 0.654808 | + | 0.755795i | \(0.272750\pi\) | ||||
−0.654808 | + | 0.755795i | \(0.727250\pi\) | |||||||
\(654\) | −1.29707 | − | 2.93641i | −0.0507195 | − | 0.114823i | ||||
\(655\) | −42.7504 | − | 24.6820i | −1.67040 | − | 0.964404i | ||||
\(656\) | 14.0921 | − | 30.6778i | 0.550203 | − | 1.19777i | ||||
\(657\) | −25.2129 | −0.983650 | ||||||||
\(658\) | −0.382008 | + | 0.168741i | −0.0148922 | + | 0.00657820i | ||||
\(659\) | 0.427803 | + | 0.246992i | 0.0166648 | + | 0.00962144i | 0.508309 | − | 0.861175i | \(-0.330271\pi\) |
−0.491644 | + | 0.870796i | \(0.663604\pi\) | |||||||
\(660\) | 14.4856 | + | 3.16791i | 0.563852 | + | 0.123311i | ||||
\(661\) | −12.5398 | + | 21.7195i | −0.487740 | + | 0.844791i | −0.999901 | − | 0.0140991i | \(-0.995512\pi\) |
0.512160 | + | 0.858890i | \(0.328845\pi\) | |||||||
\(662\) | −22.8441 | + | 31.2491i | −0.887861 | + | 1.21453i | ||||
\(663\) | 5.61558 | − | 3.24216i | 0.218091 | − | 0.125915i | ||||
\(664\) | −10.6222 | + | 31.7392i | −0.412223 | + | 1.23172i | ||||
\(665\) | 4.79438 | − | 2.81305i | 0.185918 | − | 0.109085i | ||||
\(666\) | 13.2950 | − | 5.87265i | 0.515169 | − | 0.227560i | ||||
\(667\) | 9.55835 | − | 5.51852i | 0.370101 | − | 0.213678i | ||||
\(668\) | 26.6428 | + | 5.82660i | 1.03084 | + | 0.225438i | ||||
\(669\) | −16.9495 | − | 9.78582i | −0.655307 | − | 0.378342i | ||||
\(670\) | 8.08012 | + | 5.90683i | 0.312162 | + | 0.228201i | ||||
\(671\) | −4.60545 | − | 2.65896i | −0.177791 | − | 0.102648i | ||||
\(672\) | 1.50789 | + | 2.70248i | 0.0581681 | + | 0.104250i | ||||
\(673\) | 12.2784i | 0.473296i | 0.971595 | + | 0.236648i | \(0.0760489\pi\) | ||||
−0.971595 | + | 0.236648i | \(0.923951\pi\) | |||||||
\(674\) | 17.3887 | + | 1.87919i | 0.669787 | + | 0.0723837i | ||||
\(675\) | −14.2917 | − | 8.25134i | −0.550089 | − | 0.317594i | ||||
\(676\) | 1.21069 | − | 1.32885i | 0.0465649 | − | 0.0511096i | ||||
\(677\) | −6.28293 | −0.241473 | −0.120736 | − | 0.992685i | \(-0.538526\pi\) | ||||
−0.120736 | + | 0.992685i | \(0.538526\pi\) | |||||||
\(678\) | −0.431890 | + | 3.99640i | −0.0165866 | + | 0.153481i | ||||
\(679\) | −1.42438 | − | 2.46710i | −0.0546628 | − | 0.0946788i | ||||
\(680\) | 8.58930 | − | 7.59811i | 0.329385 | − | 0.291374i | ||||
\(681\) | −7.90577 | − | 13.6932i | −0.302950 | − | 0.524724i | ||||
\(682\) | −1.22594 | − | 0.896202i | −0.0469437 | − | 0.0343173i | ||||
\(683\) | 28.9958i | 1.10949i | 0.832020 | + | 0.554746i | \(0.187185\pi\) | ||||
−0.832020 | + | 0.554746i | \(0.812815\pi\) | |||||||
\(684\) | −2.75294 | + | 13.0251i | −0.105261 | + | 0.498027i | ||||
\(685\) | 24.2667i | 0.927181i | ||||||||
\(686\) | −5.19055 | + | 7.10031i | −0.198176 | + | 0.271091i | ||||
\(687\) | 7.72197 | + | 13.3748i | 0.294611 | + | 0.510282i | ||||
\(688\) | −21.0947 | − | 9.69001i | −0.804230 | − | 0.369428i | ||||
\(689\) | 14.4071 | + | 24.9538i | 0.548865 | + | 0.950662i | ||||
\(690\) | −6.29819 | − | 0.680643i | −0.239768 | − | 0.0259116i | ||||
\(691\) | 29.0538 | 1.10526 | 0.552629 | − | 0.833427i | \(-0.313625\pi\) | ||||
0.552629 | + | 0.833427i | \(0.313625\pi\) | |||||||
\(692\) | 2.21705 | − | 2.43344i | 0.0842797 | − | 0.0925054i | ||||
\(693\) | 1.28727 | + | 0.743204i | 0.0488992 | + | 0.0282320i | ||||
\(694\) | 1.72977 | − | 16.0061i | 0.0656612 | − | 0.607582i | ||||
\(695\) | 13.4746i | 0.511120i | ||||||||
\(696\) | −27.5386 | − | 9.21642i | −1.04385 | − | 0.349348i | ||||
\(697\) | 10.4750 | + | 6.04776i | 0.396770 | + | 0.229075i | ||||
\(698\) | 2.45104 | − | 3.35285i | 0.0927731 | − | 0.126907i | ||||
\(699\) | −12.1449 | − | 7.01188i | −0.459363 | − | 0.265214i | ||||
\(700\) | −0.578525 | + | 2.64537i | −0.0218662 | + | 0.0999855i | ||||
\(701\) | −21.1436 | + | 12.2073i | −0.798584 | + | 0.461063i | −0.842976 | − | 0.537952i | \(-0.819198\pi\) |
0.0443920 | + | 0.999014i | \(0.485865\pi\) | |||||||
\(702\) | −11.7045 | − | 26.4976i | −0.441758 | − | 1.00009i | ||||
\(703\) | 0.205722 | + | 29.3345i | 0.00775894 | + | 1.10637i | ||||
\(704\) | 13.7947 | + | 10.3981i | 0.519908 | + | 0.391893i | ||||
\(705\) | −1.94792 | + | 1.12463i | −0.0733630 | + | 0.0423561i | ||||
\(706\) | 21.9110 | + | 16.0176i | 0.824631 | + | 0.602832i | ||||
\(707\) | −1.19995 | + | 2.07838i | −0.0451289 | + | 0.0781656i | ||||
\(708\) | 33.1552 | + | 7.25082i | 1.24605 | + | 0.272502i | ||||
\(709\) | −3.14824 | − | 1.81764i | −0.118235 | − | 0.0682627i | 0.439716 | − | 0.898137i | \(-0.355079\pi\) |
−0.557951 | + | 0.829874i | \(0.688412\pi\) | |||||||
\(710\) | −27.0072 | − | 61.1409i | −1.01356 | − | 2.29458i | ||||
\(711\) | −12.3857 | −0.464502 | ||||||||
\(712\) | 17.0076 | − | 15.0449i | 0.637385 | − | 0.563832i | ||||
\(713\) | 0.561857 | + | 0.324388i | 0.0210417 | + | 0.0121484i | ||||
\(714\) | −1.01423 | + | 0.448008i | −0.0379568 | + | 0.0167663i | ||||
\(715\) | 22.7747i | 0.851726i | ||||||||
\(716\) | 14.6198 | − | 4.65565i | 0.546367 | − | 0.173990i | ||||
\(717\) | −11.4265 | − | 19.7912i | −0.426729 | − | 0.739116i | ||||
\(718\) | 6.26244 | + | 0.676780i | 0.233712 | + | 0.0252572i | ||||
\(719\) | 34.9775 | − | 20.1943i | 1.30444 | − | 0.753120i | 0.323279 | − | 0.946304i | \(-0.395215\pi\) |
0.981163 | + | 0.193184i | \(0.0618813\pi\) | |||||||
\(720\) | −9.99283 | − | 14.0988i | −0.372411 | − | 0.525430i | ||||
\(721\) | 8.07306i | 0.300657i | ||||||||
\(722\) | −21.9122 | − | 15.5517i | −0.815488 | − | 0.578774i | ||||
\(723\) | 11.8777 | 0.441738 | ||||||||
\(724\) | 45.9731 | + | 10.0540i | 1.70858 | + | 0.373655i | ||||
\(725\) | −12.7051 | − | 22.0059i | −0.471857 | − | 0.817280i | ||||
\(726\) | 10.8140 | + | 1.16866i | 0.401343 | + | 0.0433730i | ||||
\(727\) | −4.07642 | + | 2.35352i | −0.151186 | + | 0.0872873i | −0.573685 | − | 0.819076i | \(-0.694486\pi\) |
0.422499 | + | 0.906364i | \(0.361153\pi\) | |||||||
\(728\) | −3.56017 | + | 3.14933i | −0.131949 | + | 0.116722i | ||||
\(729\) | −23.1906 | −0.858912 | ||||||||
\(730\) | 26.6907 | + | 60.4245i | 0.987867 | + | 2.23641i | ||||
\(731\) | 4.15857 | − | 7.20286i | 0.153810 | − | 0.266407i | ||||
\(732\) | −1.81386 | − | 5.69594i | −0.0670423 | − | 0.210528i | ||||
\(733\) | − | 23.9315i | − | 0.883930i | −0.897032 | − | 0.441965i | \(-0.854282\pi\) | ||
0.897032 | − | 0.441965i | \(-0.145718\pi\) | |||||||
\(734\) | 10.9285 | + | 24.7409i | 0.403380 | + | 0.913203i | ||||
\(735\) | −11.6683 | + | 20.2101i | −0.430391 | + | 0.745459i | ||||
\(736\) | −6.33661 | − | 3.78338i | −0.233571 | − | 0.139457i | ||||
\(737\) | −4.67821 | − | 2.70097i | −0.172324 | − | 0.0994915i | ||||
\(738\) | 10.7568 | − | 14.7146i | 0.395964 | − | 0.541650i | ||||
\(739\) | 1.44053 | + | 2.49507i | 0.0529906 | + | 0.0917825i | 0.891304 | − | 0.453406i | \(-0.149791\pi\) |
−0.838313 | + | 0.545189i | \(0.816458\pi\) | |||||||
\(740\) | −28.1484 | − | 25.6454i | −1.03475 | − | 0.942743i | ||||
\(741\) | 19.7217 | − | 0.138307i | 0.724494 | − | 0.00508084i | ||||
\(742\) | −1.99080 | − | 4.50692i | −0.0730844 | − | 0.165454i | ||||
\(743\) | 17.8747 | + | 30.9598i | 0.655758 | + | 1.13581i | 0.981703 | + | 0.190418i | \(0.0609843\pi\) |
−0.325945 | + | 0.945389i | \(0.605682\pi\) | |||||||
\(744\) | −0.340208 | − | 1.67277i | −0.0124726 | − | 0.0613268i | ||||
\(745\) | −15.2427 | + | 26.4011i | −0.558448 | + | 0.967261i | ||||
\(746\) | −23.6111 | − | 17.2605i | −0.864463 | − | 0.631950i | ||||
\(747\) | −9.03522 | + | 15.6495i | −0.330581 | + | 0.572584i | ||||
\(748\) | −4.16830 | + | 4.57513i | −0.152408 | + | 0.167283i | ||||
\(749\) | −0.410086 | −0.0149842 | ||||||||
\(750\) | 1.04152 | − | 9.63753i | 0.0380311 | − | 0.351913i | ||||
\(751\) | 24.3250 | − | 42.1322i | 0.887632 | − | 1.53742i | 0.0449656 | − | 0.998989i | \(-0.485682\pi\) |
0.842667 | − | 0.538436i | \(-0.180985\pi\) | |||||||
\(752\) | −2.60909 | + | 0.243324i | −0.0951436 | + | 0.00887312i | ||||
\(753\) | 19.8801i | 0.724473i | ||||||||
\(754\) | 4.79235 | − | 44.3450i | 0.174527 | − | 1.61495i | ||||
\(755\) | 13.2460 | − | 7.64757i | 0.482071 | − | 0.278324i | ||||
\(756\) | 1.50299 | + | 4.71973i | 0.0546632 | + | 0.171655i | ||||
\(757\) | −29.4372 | + | 16.9956i | −1.06991 | + | 0.617716i | −0.928158 | − | 0.372186i | \(-0.878608\pi\) |
−0.141757 | + | 0.989902i | \(0.545275\pi\) | |||||||
\(758\) | 2.13676 | − | 2.92294i | 0.0776108 | − | 0.106166i | ||||
\(759\) | 3.41899 | 0.124102 | ||||||||
\(760\) | 34.1298 | − | 7.19092i | 1.23802 | − | 0.260842i | ||||
\(761\) | −34.2969 | −1.24326 | −0.621631 | − | 0.783310i | \(-0.713530\pi\) | ||||
−0.621631 | + | 0.783310i | \(0.713530\pi\) | |||||||
\(762\) | −2.15959 | + | 2.95417i | −0.0782338 | + | 0.107018i | ||||
\(763\) | −0.730135 | + | 0.421544i | −0.0264327 | + | 0.0152609i | ||||
\(764\) | 45.4787 | − | 14.4826i | 1.64536 | − | 0.523964i | ||||
\(765\) | 5.36198 | − | 3.09574i | 0.193863 | − | 0.111927i | ||||
\(766\) | −2.77656 | + | 25.6923i | −0.100321 | + | 0.928301i | ||||
\(767\) | 52.1275i | 1.88221i | ||||||||
\(768\) | 3.59066 | + | 19.0833i | 0.129567 | + | 0.688609i | ||||
\(769\) | −5.78344 | + | 10.0172i | −0.208556 | + | 0.361230i | −0.951260 | − | 0.308390i | \(-0.900210\pi\) |
0.742704 | + | 0.669620i | \(0.233543\pi\) | |||||||
\(770\) | 0.418422 | − | 3.87178i | 0.0150789 | − | 0.139529i | ||||
\(771\) | −10.6062 | −0.381971 | ||||||||
\(772\) | 28.2467 | + | 25.7349i | 1.01662 | + | 0.926220i | ||||
\(773\) | 11.6089 | − | 20.1073i | 0.417545 | − | 0.723209i | −0.578147 | − | 0.815933i | \(-0.696224\pi\) |
0.995692 | + | 0.0927238i | \(0.0295574\pi\) | |||||||
\(774\) | −10.1180 | − | 7.39662i | −0.363686 | − | 0.265866i | ||||
\(775\) | 0.746830 | − | 1.29355i | 0.0268269 | − | 0.0464656i | ||||
\(776\) | −3.56250 | − | 17.5165i | −0.127886 | − | 0.628805i | ||||
\(777\) | 1.84088 | + | 3.18850i | 0.0660412 | + | 0.114387i | ||||
\(778\) | 8.20268 | + | 18.5699i | 0.294080 | + | 0.665762i | ||||
\(779\) | 18.6174 | + | 31.7302i | 0.667036 | + | 1.13685i | ||||
\(780\) | −17.2415 | + | 18.9242i | −0.617343 | + | 0.677596i | ||||
\(781\) | 18.0372 | + | 31.2413i | 0.645421 | + | 1.11790i | ||||
\(782\) | 1.56048 | − | 2.13462i | 0.0558026 | − | 0.0763340i | ||||
\(783\) | −40.2532 | − | 23.2402i | −1.43853 | − | 0.830536i | ||||
\(784\) | −22.1808 | + | 15.7212i | −0.792173 | + | 0.561471i | ||||
\(785\) | −21.7708 | + | 37.7081i | −0.777033 | + | 1.34586i | ||||
\(786\) | 12.1007 | + | 27.3946i | 0.431618 | + | 0.977132i | ||||
\(787\) | 33.9207i | 1.20914i | 0.796552 | + | 0.604571i | \(0.206655\pi\) | ||||
−0.796552 | + | 0.604571i | \(0.793345\pi\) | |||||||
\(788\) | −21.4353 | + | 6.82605i | −0.763602 | + | 0.243168i | ||||
\(789\) | 16.9069 | − | 29.2836i | 0.601901 | − | 1.04252i | ||||
\(790\) | 13.1117 | + | 29.6833i | 0.466493 | + | 1.05608i | ||||
\(791\) | 1.05570 | 0.0375364 | ||||||||
\(792\) | 6.17959 | + | 6.98573i | 0.219582 | + | 0.248227i | ||||
\(793\) | 7.95135 | − | 4.59072i | 0.282361 | − | 0.163021i | ||||
\(794\) | 37.1726 | + | 4.01723i | 1.31921 | + | 0.142566i | ||||
\(795\) | −13.2684 | − | 22.9815i | −0.470581 | − | 0.815070i | ||||
\(796\) | −4.89420 | + | 22.3793i | −0.173470 | + | 0.793212i | ||||
\(797\) | 12.2630 | 0.434378 | 0.217189 | − | 0.976130i | \(-0.430311\pi\) | ||||
0.217189 | + | 0.976130i | \(0.430311\pi\) | |||||||
\(798\) | −3.35530 | − | 0.338819i | −0.118776 | − | 0.0119940i | ||||
\(799\) | − | 0.938848i | − | 0.0332141i | ||||||
\(800\) | −8.71037 | + | 14.5886i | −0.307958 | + | 0.515785i | ||||
\(801\) | 10.6172 | − | 6.12983i | 0.375139 | − | 0.216587i | ||||
\(802\) | −9.90594 | − | 1.07053i | −0.349791 | − | 0.0378018i | ||||
\(803\) | −17.8258 | − | 30.8752i | −0.629059 | − | 1.08956i | ||||
\(804\) | −1.84252 | − | 5.78593i | −0.0649808 | − | 0.204054i | ||||
\(805\) | 1.66375i | 0.0586394i | ||||||||
\(806\) | 2.39830 | − | 1.05938i | 0.0844766 | − | 0.0373150i | ||||
\(807\) | 24.8797 | + | 14.3643i | 0.875806 | + | 0.505647i | ||||
\(808\) | −11.2790 | + | 9.97737i | −0.396792 | + | 0.351003i | ||||
\(809\) | 35.6199 | 1.25233 | 0.626164 | − | 0.779691i | \(-0.284624\pi\) | ||||
0.626164 | + | 0.779691i | \(0.284624\pi\) | |||||||
\(810\) | 3.37340 | + | 7.63697i | 0.118529 | + | 0.268336i | ||||
\(811\) | 16.4875 | + | 9.51908i | 0.578956 | + | 0.334260i | 0.760718 | − | 0.649082i | \(-0.224847\pi\) |
−0.181763 | + | 0.983342i | \(0.558180\pi\) | |||||||
\(812\) | −1.62944 | + | 7.45077i | −0.0571820 | + | 0.261471i | ||||
\(813\) | 11.1777 | − | 19.3604i | 0.392021 | − | 0.679000i | ||||
\(814\) | 16.5912 | + | 12.1287i | 0.581521 | + | 0.425110i | ||||
\(815\) | 1.30844 | − | 0.755429i | 0.0458327 | − | 0.0264615i | ||||
\(816\) | −6.92715 | + | 0.646027i | −0.242499 | + | 0.0226155i | ||||
\(817\) | 21.8184 | − | 12.8017i | 0.763329 | − | 0.447875i | ||||
\(818\) | 11.6588 | + | 26.3940i | 0.407639 | + | 0.922846i | ||||
\(819\) | −2.22248 | + | 1.28315i | −0.0776597 | + | 0.0448369i | ||||
\(820\) | −46.6517 | − | 10.2024i | −1.62915 | − | 0.356284i | ||||
\(821\) | 34.7173 | + | 20.0441i | 1.21164 | + | 0.699543i | 0.963117 | − | 0.269082i | \(-0.0867204\pi\) |
0.248526 | + | 0.968625i | \(0.420054\pi\) | |||||||
\(822\) | 8.68832 | − | 11.8850i | 0.303040 | − | 0.414537i | ||||
\(823\) | −27.7423 | − | 16.0170i | −0.967037 | − | 0.558319i | −0.0687052 | − | 0.997637i | \(-0.521887\pi\) |
−0.898332 | + | 0.439318i | \(0.855220\pi\) | |||||||
\(824\) | −16.0767 | + | 48.0370i | −0.560058 | + | 1.67345i | ||||
\(825\) | − | 7.87146i | − | 0.274049i | ||||||
\(826\) | 0.957699 | − | 8.86187i | 0.0333226 | − | 0.308344i | ||||
\(827\) | −13.4637 | − | 7.77329i | −0.468180 | − | 0.270304i | 0.247298 | − | 0.968940i | \(-0.420457\pi\) |
−0.715477 | + | 0.698636i | \(0.753791\pi\) | |||||||
\(828\) | −2.94545 | − | 2.68353i | −0.102361 | − | 0.0932592i | ||||
\(829\) | −5.94617 | −0.206519 | −0.103260 | − | 0.994654i | \(-0.532927\pi\) | ||||
−0.103260 | + | 0.994654i | \(0.532927\pi\) | |||||||
\(830\) | 47.0697 | + | 5.08681i | 1.63381 | + | 0.176566i | ||||
\(831\) | 15.7968 | + | 27.3608i | 0.547984 | + | 0.949136i | ||||
\(832\) | −27.4556 | + | 11.6497i | −0.951852 | + | 0.403880i | ||||
\(833\) | −4.87036 | − | 8.43572i | −0.168748 | − | 0.292280i | ||||
\(834\) | 4.82437 | − | 6.59940i | 0.167054 | − | 0.228519i | ||||
\(835\) | − | 38.5778i | − | 1.33504i | ||||||
\(836\) | −17.8966 | + | 5.83769i | −0.618967 | + | 0.201901i | ||||
\(837\) | − | 2.73220i | − | 0.0944386i | ||||||
\(838\) | −8.78302 | − | 6.42067i | −0.303404 | − | 0.221798i | ||||
\(839\) | −6.06590 | − | 10.5064i | −0.209418 | − | 0.362723i | 0.742113 | − | 0.670274i | \(-0.233824\pi\) |
−0.951531 | + | 0.307552i | \(0.900490\pi\) | |||||||
\(840\) | 3.27879 | − | 2.90042i | 0.113129 | − | 0.100074i | ||||
\(841\) | −21.2845 | − | 36.8658i | −0.733947 | − | 1.27123i | ||||
\(842\) | 0.926964 | − | 8.57746i | 0.0319453 | − | 0.295599i | ||||
\(843\) | −25.4590 | −0.876855 | ||||||||
\(844\) | −23.6075 | − | 21.5083i | −0.812604 | − | 0.740347i | ||||
\(845\) | −2.20218 | − | 1.27143i | −0.0757575 | − | 0.0437386i | ||||
\(846\) | −1.40659 | − | 0.152009i | −0.0483595 | − | 0.00522619i | ||||
\(847\) | − | 2.85665i | − | 0.0981555i | ||||||
\(848\) | −2.87073 | − | 30.7819i | −0.0985812 | − | 1.05706i | ||||
\(849\) | 12.0424 | + | 6.95270i | 0.413295 | + | 0.238616i | ||||
\(850\) | −4.91449 | − | 3.59265i | −0.168565 | − | 0.123227i | ||||
\(851\) | −7.60385 | − | 4.39009i | −0.260657 | − | 0.150490i | ||||
\(852\) | −8.66339 | + | 39.6143i | −0.296803 | + | 1.35716i | ||||
\(853\) | 13.8144 | − | 7.97575i | 0.472996 | − | 0.273085i | −0.244497 | − | 0.969650i | \(-0.578623\pi\) |
0.717493 | + | 0.696565i | \(0.245289\pi\) | |||||||
\(854\) | −1.43610 | + | 0.634354i | −0.0491424 | + | 0.0217072i | ||||
\(855\) | 18.8310 | − | 0.132061i | 0.644007 | − | 0.00451639i | ||||
\(856\) | −2.44012 | − | 0.816643i | −0.0834017 | − | 0.0279123i | ||||
\(857\) | 46.8936 | − | 27.0741i | 1.60186 | − | 0.924832i | 0.610740 | − | 0.791831i | \(-0.290872\pi\) |
0.991116 | − | 0.133001i | \(-0.0424614\pi\) | |||||||
\(858\) | 8.15415 | − | 11.1543i | 0.278378 | − | 0.380801i | ||||
\(859\) | 10.3529 | − | 17.9317i | 0.353236 | − | 0.611823i | −0.633578 | − | 0.773678i | \(-0.718415\pi\) |
0.986814 | + | 0.161856i | \(0.0517479\pi\) | |||||||
\(860\) | −7.01540 | + | 32.0787i | −0.239223 | + | 1.09387i | ||||
\(861\) | 3.99863 | + | 2.30861i | 0.136273 | + | 0.0786773i | ||||
\(862\) | −12.2205 | + | 5.39805i | −0.416233 | + | 0.183858i | ||||
\(863\) | 24.9184 | 0.848231 | 0.424115 | − | 0.905608i | \(-0.360585\pi\) | ||||
0.424115 | + | 0.905608i | \(0.360585\pi\) | |||||||
\(864\) | −0.455636 | + | 31.0768i | −0.0155011 | + | 1.05725i | ||||
\(865\) | −4.03271 | − | 2.32829i | −0.137116 | − | 0.0791642i | ||||
\(866\) | −9.85896 | − | 22.3195i | −0.335021 | − | 0.758447i | ||||
\(867\) | 18.1392i | 0.616038i | ||||||||
\(868\) | −0.427183 | + | 0.136036i | −0.0144995 | + | 0.00461736i | ||||
\(869\) | −8.75685 | − | 15.1673i | −0.297056 | − | 0.514516i | ||||
\(870\) | −4.41359 | + | 40.8402i | −0.149635 | + | 1.38461i | ||||
\(871\) | 8.07699 | − | 4.66325i | 0.273678 | − | 0.158008i | ||||
\(872\) | −5.18397 | + | 1.05431i | −0.175551 | + | 0.0357036i | ||||
\(873\) | − | 9.65089i | − | 0.326633i | ||||||
\(874\) | 7.33362 | − | 3.30106i | 0.248064 | − | 0.111660i | ||||
\(875\) | −2.54588 | −0.0860664 | ||||||||
\(876\) | 8.56187 | − | 39.1501i | 0.289279 | − | 1.32276i | ||||
\(877\) | −19.0653 | − | 33.0221i | −0.643790 | − | 1.11508i | −0.984580 | − | 0.174937i | \(-0.944028\pi\) |
0.340790 | − | 0.940140i | \(-0.389306\pi\) | |||||||
\(878\) | 1.47286 | − | 13.6288i | 0.0497066 | − | 0.459950i | ||||
\(879\) | 10.9311 | − | 6.31106i | 0.368696 | − | 0.212867i | ||||
\(880\) | 10.2000 | − | 22.2050i | 0.343842 | − | 0.748529i | ||||
\(881\) | 16.6723 | 0.561702 | 0.280851 | − | 0.959751i | \(-0.409383\pi\) | ||||
0.280851 | + | 0.959751i | \(0.409383\pi\) | |||||||
\(882\) | −13.4270 | + | 5.93097i | −0.452111 | + | 0.199706i | ||||
\(883\) | 16.1610 | − | 27.9917i | 0.543861 | − | 0.941994i | −0.454817 | − | 0.890585i | \(-0.650295\pi\) |
0.998678 | − | 0.0514093i | \(-0.0163713\pi\) | |||||||
\(884\) | −3.24243 | − | 10.1820i | −0.109055 | − | 0.342456i | ||||
\(885\) | − | 48.0076i | − | 1.61376i | ||||||
\(886\) | 20.7862 | − | 9.18170i | 0.698327 | − | 0.308465i | ||||
\(887\) | −5.27663 | + | 9.13939i | −0.177172 | + | 0.306871i | −0.940911 | − | 0.338655i | \(-0.890028\pi\) |
0.763739 | + | 0.645525i | \(0.223361\pi\) | |||||||
\(888\) | 4.60419 | + | 22.6384i | 0.154506 | + | 0.759694i | ||||
\(889\) | 0.832314 | + | 0.480537i | 0.0279149 | + | 0.0161167i | ||||
\(890\) | −25.9300 | − | 18.9557i | −0.869175 | − | 0.635395i | ||||
\(891\) | −2.25298 | − | 3.90228i | −0.0754777 | − | 0.130731i | ||||
\(892\) | −21.7216 | + | 23.8416i | −0.727293 | + | 0.798276i | ||||
\(893\) | 1.41038 | − | 2.48291i | 0.0471967 | − | 0.0830874i | ||||
\(894\) | 16.9179 | − | 7.47296i | 0.565818 | − | 0.249933i | ||||
\(895\) | −10.8517 | − | 18.7958i | −0.362733 | − | 0.628273i | ||||
\(896\) | 4.88158 | − | 1.47607i | 0.163082 | − | 0.0493120i | ||||
\(897\) | −2.95147 | + | 5.11209i | −0.0985465 | + | 0.170688i | ||||
\(898\) | −10.3833 | + | 14.2036i | −0.346494 | + | 0.473979i | ||||
\(899\) | 2.10347 | − | 3.64332i | 0.0701548 | − | 0.121512i | ||||
\(900\) | −6.17823 | + | 6.78122i | −0.205941 | + | 0.226041i | ||||
\(901\) | 11.0765 | 0.369012 | ||||||||
\(902\) | 25.6243 | + | 2.76921i | 0.853196 | + | 0.0922046i | ||||
\(903\) | 1.58745 | − | 2.74954i | 0.0528270 | − | 0.0914991i | ||||
\(904\) | 6.28172 | + | 2.10232i | 0.208927 | + | 0.0699222i | ||||
\(905\) | − | 66.5675i | − | 2.21278i | ||||||
\(906\) | −9.22554 | − | 0.997001i | −0.306498 | − | 0.0331231i | ||||
\(907\) | −32.3892 | + | 18.6999i | −1.07546 | + | 0.620920i | −0.929669 | − | 0.368395i | \(-0.879907\pi\) |
−0.145795 | + | 0.989315i | \(0.546574\pi\) | |||||||
\(908\) | −24.8280 | + | 7.90643i | −0.823945 | + | 0.262384i | ||||
\(909\) | −7.04102 | + | 4.06513i | −0.233536 | + | 0.134832i | ||||
\(910\) | 5.42789 | + | 3.96796i | 0.179933 | + | 0.131537i | ||||
\(911\) | −40.7900 | −1.35143 | −0.675717 | − | 0.737162i | \(-0.736166\pi\) | ||||
−0.675717 | + | 0.737162i | \(0.736166\pi\) | |||||||
\(912\) | −19.2902 | − | 8.69780i | −0.638764 | − | 0.288013i | ||||
\(913\) | −25.5520 | −0.845647 | ||||||||
\(914\) | −26.9087 | − | 19.6711i | −0.890062 | − | 0.650664i | ||||
\(915\) | −7.32291 | + | 4.22789i | −0.242088 | + | 0.139770i | ||||
\(916\) | 24.2507 | − | 7.72262i | 0.801267 | − | 0.255162i | ||||
\(917\) | 6.81162 | − | 3.93269i | 0.224940 | − | 0.129869i | ||||
\(918\) | −11.0710 | − | 1.19644i | −0.365398 | − | 0.0394884i | ||||
\(919\) | − | 10.9991i | − | 0.362826i | −0.983407 | − | 0.181413i | \(-0.941933\pi\) | ||
0.983407 | − | 0.181413i | \(-0.0580670\pi\) | |||||||
\(920\) | −3.31318 | + | 9.89977i | −0.109232 | + | 0.326386i | ||||
\(921\) | 1.68161 | − | 2.91263i | 0.0554109 | − | 0.0959744i | ||||
\(922\) | −1.55317 | − | 0.167850i | −0.0511509 | − | 0.00552786i | ||||
\(923\) | −62.2827 | −2.05006 | ||||||||
\(924\) | −1.59116 | + | 1.74646i | −0.0523455 | + | 0.0574544i | ||||
\(925\) | −10.1072 | + | 17.5061i | −0.332322 | + | 0.575599i | ||||
\(926\) | 21.8003 | − | 29.8213i | 0.716403 | − | 0.979988i | ||||
\(927\) | −13.6747 | + | 23.6853i | −0.449137 | + | 0.777928i | ||||
\(928\) | −24.5331 | + | 41.0893i | −0.805337 | + | 1.34882i | ||||
\(929\) | 15.0117 | + | 26.0011i | 0.492519 | + | 0.853067i | 0.999963 | − | 0.00861738i | \(-0.00274303\pi\) |
−0.507444 | + | 0.861685i | \(0.669410\pi\) | |||||||
\(930\) | −2.20875 | + | 0.975649i | −0.0724278 | + | 0.0319928i | ||||
\(931\) | −0.207765 | − | 29.6259i | −0.00680921 | − | 0.970949i | ||||
\(932\) | −15.5643 | + | 17.0833i | −0.509825 | + | 0.559583i | ||||
\(933\) | 8.37412 | + | 14.5044i | 0.274156 | + | 0.474853i | ||||
\(934\) | −21.0439 | − | 15.3838i | −0.688578 | − | 0.503373i | ||||
\(935\) | 7.58194 | + | 4.37744i | 0.247956 | + | 0.143158i | ||||
\(936\) | −15.7796 | + | 3.20926i | −0.515774 | + | 0.104898i | ||||
\(937\) | 20.0689 | − | 34.7604i | 0.655623 | − | 1.13557i | −0.326115 | − | 0.945330i | \(-0.605740\pi\) |
0.981737 | − | 0.190241i | \(-0.0609271\pi\) | |||||||
\(938\) | −1.45879 | + | 0.644377i | −0.0476312 | + | 0.0210397i | ||||
\(939\) | 14.3013i | 0.466706i | ||||||||
\(940\) | 1.12473 | + | 3.53190i | 0.0366846 | + | 0.115198i | ||||
\(941\) | −0.433456 | + | 0.750768i | −0.0141303 | + | 0.0244743i | −0.873004 | − | 0.487713i | \(-0.837831\pi\) |
0.858874 | + | 0.512187i | \(0.171165\pi\) | |||||||
\(942\) | 24.1634 | − | 10.6735i | 0.787287 | − | 0.347761i | ||||
\(943\) | −11.0110 | −0.358569 | ||||||||
\(944\) | 23.3461 | − | 50.8234i | 0.759850 | − | 1.65416i | ||||
\(945\) | 6.06786 | − | 3.50328i | 0.197387 | − | 0.113962i | ||||
\(946\) | 1.90417 | − | 17.6198i | 0.0619098 | − | 0.572870i | ||||
\(947\) | −12.4598 | − | 21.5809i | −0.404888 | − | 0.701286i | 0.589421 | − | 0.807826i | \(-0.299356\pi\) |
−0.994308 | + | 0.106540i | \(0.966023\pi\) | |||||||
\(948\) | 4.20598 | − | 19.2323i | 0.136604 | − | 0.624637i | ||||
\(949\) | 61.5529 | 1.99809 | ||||||||
\(950\) | −7.59995 | − | 16.8840i | −0.246575 | − | 0.547790i | ||||
\(951\) | 21.5197i | 0.697825i | ||||||||
\(952\) | 0.364160 | + | 1.79054i | 0.0118025 | + | 0.0580318i | ||||
\(953\) | −25.5317 | + | 14.7407i | −0.827053 | + | 0.477499i | −0.852843 | − | 0.522168i | \(-0.825123\pi\) |
0.0257895 | + | 0.999667i | \(0.491790\pi\) | |||||||
\(954\) | 1.79340 | − | 16.5949i | 0.0580635 | − | 0.537279i | ||||
\(955\) | −33.7572 | − | 58.4692i | −1.09236 | − | 1.89202i | ||||
\(956\) | −35.8846 | + | 11.4274i | −1.16059 | + | 0.369589i | ||||
\(957\) | − | 22.1702i | − | 0.716662i | ||||||
\(958\) | −17.3316 | − | 39.2366i | −0.559959 | − | 1.26768i | ||||
\(959\) | −3.34851 | − | 1.93326i | −0.108129 | − | 0.0624282i | ||||
\(960\) | 25.2856 | − | 10.7290i | 0.816090 | − | 0.346275i | ||||
\(961\) | −30.7527 | −0.992023 | ||||||||
\(962\) | −32.4573 | + | 14.3370i | −1.04646 | + | 0.462244i | ||||
\(963\) | −1.20314 | − | 0.694632i | −0.0387706 | − | 0.0223842i | ||||
\(964\) | 4.18183 | − | 19.1219i | 0.134688 | − | 0.615875i | ||||
\(965\) | 27.0261 | − | 46.8106i | 0.870002 | − | 1.50689i | ||||
\(966\) | 0.595680 | − | 0.814849i | 0.0191657 | − | 0.0262173i | ||||
\(967\) | −50.5276 | + | 29.1722i | −1.62486 | + | 0.938113i | −0.639265 | + | 0.768986i | \(0.720761\pi\) |
−0.985594 | + | 0.169127i | \(0.945905\pi\) | |||||||
\(968\) | 5.68872 | − | 16.9978i | 0.182842 | − | 0.546331i | ||||
\(969\) | 3.74458 | − | 6.59214i | 0.120293 | − | 0.211770i | ||||
\(970\) | −23.1290 | + | 10.2165i | −0.742627 | + | 0.328033i | ||||
\(971\) | −0.791582 | + | 0.457020i | −0.0254031 | + | 0.0146665i | −0.512648 | − | 0.858599i | \(-0.671335\pi\) |
0.487245 | + | 0.873265i | \(0.338002\pi\) | |||||||
\(972\) | −5.96075 | + | 27.2562i | −0.191191 | + | 0.874242i | ||||
\(973\) | −1.85933 | − | 1.07348i | −0.0596073 | − | 0.0344143i | ||||
\(974\) | 47.5090 | + | 34.7306i | 1.52229 | + | 1.11284i | ||||
\(975\) | 11.7694 | + | 6.79508i | 0.376923 | + | 0.217617i | ||||
\(976\) | −9.80846 | + | 0.914739i | −0.313961 | + | 0.0292801i | ||||
\(977\) | 19.2494i | 0.615841i | 0.951412 | + | 0.307921i | \(0.0996331\pi\) | ||||
−0.951412 | + | 0.307921i | \(0.900367\pi\) | |||||||
\(978\) | −0.911301 | − | 0.0984840i | −0.0291402 | − | 0.00314917i | ||||
\(979\) | 15.0129 | + | 8.66771i | 0.479815 | + | 0.277021i | ||||
\(980\) | 28.4279 | + | 25.9001i | 0.908097 | + | 0.827348i | ||||
\(981\) | −2.85616 | −0.0911903 | ||||||||
\(982\) | −4.67249 | + | 43.2359i | −0.149105 | + | 1.37971i | ||||
\(983\) | −10.4028 | − | 18.0182i | −0.331799 | − | 0.574693i | 0.651066 | − | 0.759021i | \(-0.274322\pi\) |
−0.982865 | + | 0.184329i | \(0.940989\pi\) | |||||||
\(984\) | 19.1956 | + | 21.6998i | 0.611934 | + | 0.691763i | ||||
\(985\) | 15.9107 | + | 27.5581i | 0.506956 | + | 0.878073i | ||||
\(986\) | −13.8418 | − | 10.1188i | −0.440813 | − | 0.322249i | ||||
\(987\) | − | 0.358386i | − | 0.0114076i | ||||||
\(988\) | 6.72081 | − | 31.7985i | 0.213817 | − | 1.01164i | ||||
\(989\) | 7.57143i | 0.240758i | ||||||||
\(990\) | 7.78590 | − | 10.6506i | 0.247452 | − | 0.338497i | ||||
\(991\) | −2.09378 | − | 3.62654i | −0.0665113 | − | 0.115201i | 0.830852 | − | 0.556493i | \(-0.187853\pi\) |
−0.897363 | + | 0.441292i | \(0.854520\pi\) | |||||||
\(992\) | −2.81276 | − | 0.0412397i | −0.0893053 | − | 0.00130936i | ||||
\(993\) | −16.6093 | − | 28.7682i | −0.527080 | − | 0.912930i | ||||
\(994\) | 10.5883 | + | 1.14427i | 0.335840 | + | 0.0362941i | ||||
\(995\) | 32.4044 | 1.02729 | ||||||||
\(996\) | −21.2319 | − | 19.3440i | −0.672760 | − | 0.612937i | ||||
\(997\) | −4.65708 | − | 2.68877i | −0.147491 | − | 0.0851542i | 0.424438 | − | 0.905457i | \(-0.360472\pi\) |
−0.571930 | + | 0.820303i | \(0.693805\pi\) | |||||||
\(998\) | −3.66397 | + | 33.9038i | −0.115981 | + | 1.07321i | ||||
\(999\) | 36.9760i | 1.16987i |
(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 | 152.2.o.c.107.12 | yes | 28 | |
4.3 | odd | 2 | 608.2.s.c.335.10 | 28 | |||
8.3 | odd | 2 | inner | 152.2.o.c.107.8 | yes | 28 | |
8.5 | even | 2 | 608.2.s.c.335.9 | 28 | |||
19.8 | odd | 6 | inner | 152.2.o.c.27.8 | ✓ | 28 | |
76.27 | even | 6 | 608.2.s.c.559.9 | 28 | |||
152.27 | even | 6 | inner | 152.2.o.c.27.12 | yes | 28 | |
152.141 | odd | 6 | 608.2.s.c.559.10 | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
152.2.o.c.27.8 | ✓ | 28 | 19.8 | odd | 6 | inner | |
152.2.o.c.27.12 | yes | 28 | 152.27 | even | 6 | inner | |
152.2.o.c.107.8 | yes | 28 | 8.3 | odd | 2 | inner | |
152.2.o.c.107.12 | yes | 28 | 1.1 | even | 1 | trivial | |
608.2.s.c.335.9 | 28 | 8.5 | even | 2 | |||
608.2.s.c.335.10 | 28 | 4.3 | odd | 2 | |||
608.2.s.c.559.9 | 28 | 76.27 | even | 6 | |||
608.2.s.c.559.10 | 28 | 152.141 | odd | 6 |