Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,2,Mod(6,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.bc (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.726638658394\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 6.8 | ||
Character | \(\chi\) | \(=\) | 91.6 |
Dual form | 91.2.bc.a.76.8 |
$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{5}{12}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.612835 | + | 2.28713i | 0.433340 | + | 1.61725i | 0.745009 | + | 0.667055i | \(0.232445\pi\) |
−0.311669 | + | 0.950191i | \(0.600888\pi\) | |||||||
\(3\) | 1.04118 | + | 0.601128i | 0.601128 | + | 0.347061i | 0.769485 | − | 0.638665i | \(-0.220513\pi\) |
−0.168357 | + | 0.985726i | \(0.553846\pi\) | |||||||
\(4\) | −3.12335 | + | 1.80327i | −1.56167 | + | 0.901633i | ||||
\(5\) | −2.25527 | − | 2.25527i | −1.00859 | − | 1.00859i | −0.999963 | − | 0.00862388i | \(-0.997255\pi\) |
−0.00862388 | − | 0.999963i | \(-0.502745\pi\) | |||||||
\(6\) | −0.736784 | + | 2.74971i | −0.300791 | + | 1.12257i | ||||
\(7\) | 2.48551 | + | 0.906771i | 0.939435 | + | 0.342727i | ||||
\(8\) | −2.68981 | − | 2.68981i | −0.950991 | − | 0.950991i | ||||
\(9\) | −0.777291 | − | 1.34631i | −0.259097 | − | 0.448769i | ||||
\(10\) | 3.77599 | − | 6.54020i | 1.19407 | − | 2.06819i | ||||
\(11\) | 4.11159 | − | 1.10170i | 1.23969 | − | 0.332174i | 0.421345 | − | 0.906900i | \(-0.361558\pi\) |
0.818346 | + | 0.574726i | \(0.194891\pi\) | |||||||
\(12\) | −4.33597 | −1.25169 | ||||||||
\(13\) | −3.48609 | + | 0.920440i | −0.966866 | + | 0.255284i | ||||
\(14\) | −0.550697 | + | 6.24039i | −0.147180 | + | 1.66781i | ||||
\(15\) | −0.992444 | − | 3.70385i | −0.256248 | − | 0.956331i | ||||
\(16\) | 0.897005 | − | 1.55366i | 0.224251 | − | 0.388414i | ||||
\(17\) | −0.721872 | − | 1.25032i | −0.175080 | − | 0.303247i | 0.765109 | − | 0.643901i | \(-0.222685\pi\) |
−0.940189 | + | 0.340654i | \(0.889352\pi\) | |||||||
\(18\) | 2.60283 | − | 2.60283i | 0.613493 | − | 0.613493i | ||||
\(19\) | −0.649502 | + | 2.42397i | −0.149006 | + | 0.556098i | 0.850538 | + | 0.525913i | \(0.176276\pi\) |
−0.999544 | + | 0.0301847i | \(0.990390\pi\) | |||||||
\(20\) | 11.1108 | + | 2.97714i | 2.48446 | + | 0.665709i | ||||
\(21\) | 2.04279 | + | 2.43823i | 0.445773 | + | 0.532064i | ||||
\(22\) | 5.03945 | + | 8.72858i | 1.07441 | + | 1.86094i | ||||
\(23\) | −4.52952 | − | 2.61512i | −0.944470 | − | 0.545290i | −0.0531111 | − | 0.998589i | \(-0.516914\pi\) |
−0.891359 | + | 0.453299i | \(0.850247\pi\) | |||||||
\(24\) | −1.18367 | − | 4.41750i | −0.241615 | − | 0.901719i | ||||
\(25\) | 5.17247i | 1.03449i | ||||||||
\(26\) | −4.24156 | − | 7.40905i | −0.831838 | − | 1.45304i | ||||
\(27\) | − | 5.47577i | − | 1.05381i | ||||||
\(28\) | −9.39827 | + | 1.64987i | −1.77611 | + | 0.311797i | ||||
\(29\) | 1.34350 | − | 2.32701i | 0.249482 | − | 0.432116i | −0.713900 | − | 0.700248i | \(-0.753073\pi\) |
0.963382 | + | 0.268132i | \(0.0864063\pi\) | |||||||
\(30\) | 7.86299 | − | 4.53970i | 1.43558 | − | 0.828832i | ||||
\(31\) | 3.76457 | + | 3.76457i | 0.676137 | + | 0.676137i | 0.959124 | − | 0.282987i | \(-0.0913253\pi\) |
−0.282987 | + | 0.959124i | \(0.591325\pi\) | |||||||
\(32\) | −3.24556 | − | 0.869646i | −0.573740 | − | 0.153733i | ||||
\(33\) | 4.94318 | + | 1.32452i | 0.860497 | + | 0.230570i | ||||
\(34\) | 2.41725 | − | 2.41725i | 0.414555 | − | 0.414555i | ||||
\(35\) | −3.56048 | − | 7.65051i | −0.601831 | − | 1.29317i | ||||
\(36\) | 4.85550 | + | 2.80333i | 0.809250 | + | 0.467221i | ||||
\(37\) | −0.599466 | + | 0.160626i | −0.0985516 | + | 0.0264068i | −0.307758 | − | 0.951465i | \(-0.599579\pi\) |
0.209206 | + | 0.977872i | \(0.432912\pi\) | |||||||
\(38\) | −5.94198 | −0.963916 | ||||||||
\(39\) | −4.18296 | − | 1.13724i | −0.669809 | − | 0.182103i | ||||
\(40\) | 12.1325i | 1.91831i | ||||||||
\(41\) | 5.04879 | − | 1.35282i | 0.788488 | − | 0.211275i | 0.157965 | − | 0.987445i | \(-0.449507\pi\) |
0.630524 | + | 0.776170i | \(0.282840\pi\) | |||||||
\(42\) | −4.32465 | + | 6.16635i | −0.667308 | + | 0.951489i | ||||
\(43\) | −5.46143 | + | 3.15316i | −0.832860 | + | 0.480852i | −0.854831 | − | 0.518907i | \(-0.826339\pi\) |
0.0219711 | + | 0.999759i | \(0.493006\pi\) | |||||||
\(44\) | −10.8553 | + | 10.8553i | −1.63649 | + | 1.63649i | ||||
\(45\) | −1.28329 | + | 4.78929i | −0.191301 | + | 0.713944i | ||||
\(46\) | 3.20527 | − | 11.9622i | 0.472591 | − | 1.76374i | ||||
\(47\) | −4.68009 | + | 4.68009i | −0.682662 | + | 0.682662i | −0.960599 | − | 0.277937i | \(-0.910349\pi\) |
0.277937 | + | 0.960599i | \(0.410349\pi\) | |||||||
\(48\) | 1.86789 | − | 1.07843i | 0.269607 | − | 0.155658i | ||||
\(49\) | 5.35553 | + | 4.50758i | 0.765076 | + | 0.643940i | ||||
\(50\) | −11.8301 | + | 3.16987i | −1.67303 | + | 0.448287i | ||||
\(51\) | − | 1.73575i | − | 0.243053i | ||||||
\(52\) | 9.22846 | − | 9.16119i | 1.27976 | − | 1.27043i | ||||
\(53\) | −7.58528 | −1.04192 | −0.520959 | − | 0.853582i | \(-0.674426\pi\) | ||||
−0.520959 | + | 0.853582i | \(0.674426\pi\) | |||||||
\(54\) | 12.5238 | − | 3.35574i | 1.70427 | − | 0.456659i | ||||
\(55\) | −11.7574 | − | 6.78811i | −1.58536 | − | 0.915309i | ||||
\(56\) | −4.24651 | − | 9.12459i | −0.567464 | − | 1.21933i | ||||
\(57\) | −2.13337 | + | 2.13337i | −0.282571 | + | 0.282571i | ||||
\(58\) | 6.14553 | + | 1.64669i | 0.806947 | + | 0.216221i | ||||
\(59\) | 1.96185 | + | 0.525675i | 0.255410 | + | 0.0684370i | 0.384252 | − | 0.923228i | \(-0.374459\pi\) |
−0.128842 | + | 0.991665i | \(0.541126\pi\) | |||||||
\(60\) | 9.77878 | + | 9.77878i | 1.26244 | + | 1.26244i | ||||
\(61\) | −4.53851 | + | 2.62031i | −0.581097 | + | 0.335496i | −0.761569 | − | 0.648084i | \(-0.775571\pi\) |
0.180472 | + | 0.983580i | \(0.442237\pi\) | |||||||
\(62\) | −6.30300 | + | 10.9171i | −0.800482 | + | 1.38648i | ||||
\(63\) | −0.711172 | − | 4.05109i | −0.0895993 | − | 0.510389i | ||||
\(64\) | − | 11.5440i | − | 1.44300i | ||||||
\(65\) | 9.93790 | + | 5.78622i | 1.23264 | + | 0.717692i | ||||
\(66\) | 12.1174i | 1.49155i | ||||||||
\(67\) | 2.26854 | + | 8.46631i | 0.277147 | + | 1.03432i | 0.954389 | + | 0.298565i | \(0.0965080\pi\) |
−0.677243 | + | 0.735760i | \(0.736825\pi\) | |||||||
\(68\) | 4.50931 | + | 2.60345i | 0.546835 | + | 0.315715i | ||||
\(69\) | −3.14404 | − | 5.44564i | −0.378498 | − | 0.655578i | ||||
\(70\) | 15.3157 | − | 12.8318i | 1.83058 | − | 1.53369i | ||||
\(71\) | 8.31929 | + | 2.22915i | 0.987318 | + | 0.264551i | 0.716124 | − | 0.697974i | \(-0.245915\pi\) |
0.271194 | + | 0.962525i | \(0.412581\pi\) | |||||||
\(72\) | −1.53055 | + | 5.71208i | −0.180377 | + | 0.673175i | ||||
\(73\) | 11.1801 | − | 11.1801i | 1.30854 | − | 1.30854i | 0.386065 | − | 0.922472i | \(-0.373834\pi\) |
0.922472 | − | 0.386065i | \(-0.126166\pi\) | |||||||
\(74\) | −0.734747 | − | 1.27262i | −0.0854126 | − | 0.147939i | ||||
\(75\) | −3.10932 | + | 5.38549i | −0.359033 | + | 0.621863i | ||||
\(76\) | −2.34245 | − | 8.74214i | −0.268697 | − | 1.00279i | ||||
\(77\) | 11.2184 | + | 0.989991i | 1.27845 | + | 0.112820i | ||||
\(78\) | 0.0375447 | − | 10.2639i | 0.00425110 | − | 1.16216i | ||||
\(79\) | 2.01287 | 0.226465 | 0.113233 | − | 0.993568i | \(-0.463879\pi\) | ||||
0.113233 | + | 0.993568i | \(0.463879\pi\) | |||||||
\(80\) | −5.52690 | + | 1.48093i | −0.617926 | + | 0.165573i | ||||
\(81\) | 0.959764 | − | 1.66236i | 0.106640 | − | 0.184707i | ||||
\(82\) | 6.18815 | + | 10.7182i | 0.683367 | + | 1.18363i | ||||
\(83\) | −5.11623 | − | 5.11623i | −0.561579 | − | 0.561579i | 0.368177 | − | 0.929756i | \(-0.379982\pi\) |
−0.929756 | + | 0.368177i | \(0.879982\pi\) | |||||||
\(84\) | −10.7771 | − | 3.93174i | −1.17588 | − | 0.428988i | ||||
\(85\) | −1.19179 | + | 4.44782i | −0.129268 | + | 0.482434i | ||||
\(86\) | −10.5586 | − | 10.5586i | −1.13857 | − | 1.13857i | ||||
\(87\) | 2.79766 | − | 1.61523i | 0.299941 | − | 0.173171i | ||||
\(88\) | −14.0227 | − | 8.09604i | −1.49483 | − | 0.863040i | ||||
\(89\) | 1.81184 | + | 6.76189i | 0.192055 | + | 0.716759i | 0.993010 | + | 0.118034i | \(0.0376591\pi\) |
−0.800955 | + | 0.598725i | \(0.795674\pi\) | |||||||
\(90\) | −11.7402 | −1.23752 | ||||||||
\(91\) | −9.49933 | − | 0.873319i | −0.995801 | − | 0.0915488i | ||||
\(92\) | 18.8630 | 1.96661 | ||||||||
\(93\) | 1.65662 | + | 6.18260i | 0.171784 | + | 0.641105i | ||||
\(94\) | −13.5721 | − | 7.83586i | −1.39986 | − | 0.808207i | ||||
\(95\) | 6.93151 | − | 4.00191i | 0.711158 | − | 0.410587i | ||||
\(96\) | −2.85646 | − | 2.85646i | −0.291536 | − | 0.291536i | ||||
\(97\) | −1.62618 | + | 6.06897i | −0.165113 | + | 0.616211i | 0.832913 | + | 0.553405i | \(0.186672\pi\) |
−0.998026 | + | 0.0628062i | \(0.979995\pi\) | |||||||
\(98\) | −7.02737 | + | 15.0112i | −0.709872 | + | 1.51636i | ||||
\(99\) | −4.67912 | − | 4.67912i | −0.470270 | − | 0.470270i | ||||
\(100\) | −9.32734 | − | 16.1554i | −0.932734 | − | 1.61554i | ||||
\(101\) | −6.66959 | + | 11.5521i | −0.663649 | + | 1.14947i | 0.316001 | + | 0.948759i | \(0.397660\pi\) |
−0.979650 | + | 0.200715i | \(0.935674\pi\) | |||||||
\(102\) | 3.96988 | − | 1.06373i | 0.393077 | − | 0.105325i | ||||
\(103\) | 6.17453 | 0.608395 | 0.304197 | − | 0.952609i | \(-0.401612\pi\) | ||||
0.304197 | + | 0.952609i | \(0.401612\pi\) | |||||||
\(104\) | 11.8527 | + | 6.90110i | 1.16225 | + | 0.676708i | ||||
\(105\) | 0.891816 | − | 10.1059i | 0.0870324 | − | 0.986234i | ||||
\(106\) | −4.64852 | − | 17.3485i | −0.451504 | − | 1.68504i | ||||
\(107\) | 4.27353 | − | 7.40196i | 0.413137 | − | 0.715575i | −0.582094 | − | 0.813122i | \(-0.697766\pi\) |
0.995231 | + | 0.0975469i | \(0.0310996\pi\) | |||||||
\(108\) | 9.87427 | + | 17.1027i | 0.950152 | + | 1.64571i | ||||
\(109\) | 3.30124 | − | 3.30124i | 0.316201 | − | 0.316201i | −0.531105 | − | 0.847306i | \(-0.678223\pi\) |
0.847306 | + | 0.531105i | \(0.178223\pi\) | |||||||
\(110\) | 8.31998 | − | 31.0506i | 0.793279 | − | 2.96056i | ||||
\(111\) | −0.720711 | − | 0.193114i | −0.0684069 | − | 0.0183296i | ||||
\(112\) | 3.63833 | − | 3.04825i | 0.343790 | − | 0.288033i | ||||
\(113\) | 9.80118 | + | 16.9761i | 0.922018 | + | 1.59698i | 0.796289 | + | 0.604917i | \(0.206794\pi\) |
0.125729 | + | 0.992065i | \(0.459873\pi\) | |||||||
\(114\) | −6.18669 | − | 3.57189i | −0.579437 | − | 0.334538i | ||||
\(115\) | 4.31748 | + | 16.1131i | 0.402608 | + | 1.50255i | ||||
\(116\) | 9.69077i | 0.899765i | ||||||||
\(117\) | 3.94890 | + | 3.97789i | 0.365076 | + | 0.367756i | ||||
\(118\) | 4.80915i | 0.442718i | ||||||||
\(119\) | −0.660467 | − | 3.76225i | −0.0605449 | − | 0.344885i | ||||
\(120\) | −7.29317 | + | 12.6321i | −0.665773 | + | 1.15315i | ||||
\(121\) | 6.16515 | − | 3.55945i | 0.560468 | − | 0.323586i | ||||
\(122\) | −8.77435 | − | 8.77435i | −0.794392 | − | 0.794392i | ||||
\(123\) | 6.06993 | + | 1.62643i | 0.547308 | + | 0.146651i | ||||
\(124\) | −18.5466 | − | 4.96954i | −1.66553 | − | 0.446278i | ||||
\(125\) | 0.388969 | − | 0.388969i | 0.0347904 | − | 0.0347904i | ||||
\(126\) | 8.82954 | − | 4.10919i | 0.786598 | − | 0.366076i | ||||
\(127\) | 1.02476 | + | 0.591646i | 0.0909329 | + | 0.0525001i | 0.544777 | − | 0.838581i | \(-0.316614\pi\) |
−0.453844 | + | 0.891081i | \(0.649948\pi\) | |||||||
\(128\) | 19.9115 | − | 5.33527i | 1.75994 | − | 0.471576i | ||||
\(129\) | −7.58180 | −0.667540 | ||||||||
\(130\) | −7.14355 | + | 26.2753i | −0.626531 | + | 2.30449i | ||||
\(131\) | − | 9.67103i | − | 0.844962i | −0.906372 | − | 0.422481i | \(-0.861159\pi\) | ||
0.906372 | − | 0.422481i | \(-0.138841\pi\) | |||||||
\(132\) | −17.8277 | + | 4.77693i | −1.55171 | + | 0.415778i | ||||
\(133\) | −3.81233 | + | 5.43586i | −0.330571 | + | 0.471349i | ||||
\(134\) | −17.9733 | + | 10.3769i | −1.55266 | + | 0.896428i | ||||
\(135\) | −12.3493 | + | 12.3493i | −1.06286 | + | 1.06286i | ||||
\(136\) | −1.42142 | + | 5.30482i | −0.121886 | + | 0.454884i | ||||
\(137\) | 1.70702 | − | 6.37069i | 0.145841 | − | 0.544285i | −0.853876 | − | 0.520477i | \(-0.825754\pi\) |
0.999717 | − | 0.0238082i | \(-0.00757909\pi\) | |||||||
\(138\) | 10.5281 | − | 10.5281i | 0.896212 | − | 0.896212i | ||||
\(139\) | 19.6752 | − | 11.3595i | 1.66883 | − | 0.963500i | 0.700562 | − | 0.713591i | \(-0.252933\pi\) |
0.968269 | − | 0.249909i | \(-0.0804008\pi\) | |||||||
\(140\) | 24.9165 | + | 17.4747i | 2.10583 | + | 1.47688i | ||||
\(141\) | −7.68617 | + | 2.05950i | −0.647292 | + | 0.173441i | ||||
\(142\) | 20.3934i | 1.71138i | ||||||||
\(143\) | −13.3193 | + | 7.62508i | −1.11382 | + | 0.637641i | ||||
\(144\) | −2.78893 | −0.232411 | ||||||||
\(145\) | −8.27800 | + | 2.21808i | −0.687450 | + | 0.184202i | ||||
\(146\) | 32.4220 | + | 18.7189i | 2.68327 | + | 1.54918i | ||||
\(147\) | 2.86646 | + | 7.91258i | 0.236422 | + | 0.652618i | ||||
\(148\) | 1.58269 | − | 1.58269i | 0.130096 | − | 0.130096i | ||||
\(149\) | −14.6725 | − | 3.93148i | −1.20202 | − | 0.322079i | −0.398391 | − | 0.917216i | \(-0.630431\pi\) |
−0.803625 | + | 0.595137i | \(0.797098\pi\) | |||||||
\(150\) | −14.2228 | − | 3.81099i | −1.16129 | − | 0.311166i | ||||
\(151\) | −5.08565 | − | 5.08565i | −0.413864 | − | 0.413864i | 0.469218 | − | 0.883082i | \(-0.344536\pi\) |
−0.883082 | + | 0.469218i | \(0.844536\pi\) | |||||||
\(152\) | 8.26706 | − | 4.77299i | 0.670547 | − | 0.387141i | ||||
\(153\) | −1.12221 | + | 1.94372i | −0.0907252 | + | 0.157141i | ||||
\(154\) | 4.61078 | + | 26.2646i | 0.371547 | + | 2.11646i | ||||
\(155\) | − | 16.9802i | − | 1.36389i | ||||||
\(156\) | 15.1156 | − | 3.99100i | 1.21021 | − | 0.319536i | ||||
\(157\) | − | 19.0028i | − | 1.51659i | −0.651911 | − | 0.758296i | \(-0.726032\pi\) | ||
0.651911 | − | 0.758296i | \(-0.273968\pi\) | |||||||
\(158\) | 1.23356 | + | 4.60369i | 0.0981364 | + | 0.366250i | ||||
\(159\) | −7.89767 | − | 4.55972i | −0.626326 | − | 0.361609i | ||||
\(160\) | 5.35833 | + | 9.28090i | 0.423613 | + | 0.733720i | ||||
\(161\) | −8.88685 | − | 10.6071i | −0.700382 | − | 0.835960i | ||||
\(162\) | 4.39021 | + | 1.17635i | 0.344928 | + | 0.0924231i | ||||
\(163\) | −0.262463 | + | 0.979525i | −0.0205577 | + | 0.0767223i | −0.975443 | − | 0.220254i | \(-0.929311\pi\) |
0.954885 | + | 0.296976i | \(0.0959781\pi\) | |||||||
\(164\) | −13.3296 | + | 13.3296i | −1.04087 | + | 1.04087i | ||||
\(165\) | −8.16105 | − | 14.1353i | −0.635337 | − | 1.10044i | ||||
\(166\) | 8.56608 | − | 14.8369i | 0.664857 | − | 1.15157i | ||||
\(167\) | −0.522634 | − | 1.95050i | −0.0404426 | − | 0.150934i | 0.942752 | − | 0.333495i | \(-0.108228\pi\) |
−0.983195 | + | 0.182561i | \(0.941561\pi\) | |||||||
\(168\) | 1.06365 | − | 12.0531i | 0.0820624 | − | 0.929915i | ||||
\(169\) | 11.3056 | − | 6.41746i | 0.869660 | − | 0.493651i | ||||
\(170\) | −10.9031 | −0.836230 | ||||||||
\(171\) | 3.76827 | − | 1.00970i | 0.288166 | − | 0.0772140i | ||||
\(172\) | 11.3720 | − | 19.6968i | 0.867104 | − | 1.50187i | ||||
\(173\) | 1.22524 | + | 2.12218i | 0.0931533 | + | 0.161346i | 0.908836 | − | 0.417153i | \(-0.136972\pi\) |
−0.815683 | + | 0.578499i | \(0.803639\pi\) | |||||||
\(174\) | 5.40875 | + | 5.40875i | 0.410037 | + | 0.410037i | ||||
\(175\) | −4.69025 | + | 12.8562i | −0.354550 | + | 0.971840i | ||||
\(176\) | 1.97645 | − | 7.37623i | 0.148981 | − | 0.556004i | ||||
\(177\) | 1.72664 | + | 1.72664i | 0.129782 | + | 0.129782i | ||||
\(178\) | −14.3550 | + | 8.28784i | −1.07595 | + | 0.621200i | ||||
\(179\) | −6.50355 | − | 3.75482i | −0.486098 | − | 0.280649i | 0.236856 | − | 0.971545i | \(-0.423883\pi\) |
−0.722954 | + | 0.690896i | \(0.757216\pi\) | |||||||
\(180\) | −4.62821 | − | 17.2727i | −0.344966 | − | 1.28743i | ||||
\(181\) | 4.93320 | 0.366682 | 0.183341 | − | 0.983049i | \(-0.441309\pi\) | ||||
0.183341 | + | 0.983049i | \(0.441309\pi\) | |||||||
\(182\) | −3.82413 | − | 22.2614i | −0.283463 | − | 1.65013i | ||||
\(183\) | −6.30057 | −0.465751 | ||||||||
\(184\) | 5.14937 | + | 19.2177i | 0.379617 | + | 1.41675i | ||||
\(185\) | 1.71421 | + | 0.989701i | 0.126031 | + | 0.0727642i | ||||
\(186\) | −13.1252 | + | 7.57782i | −0.962384 | + | 0.555633i | ||||
\(187\) | −4.34551 | − | 4.34551i | −0.317775 | − | 0.317775i | ||||
\(188\) | 6.17811 | − | 23.0570i | 0.450585 | − | 1.68161i | ||||
\(189\) | 4.96527 | − | 13.6101i | 0.361170 | − | 0.989988i | ||||
\(190\) | 13.4008 | + | 13.4008i | 0.972193 | + | 0.972193i | ||||
\(191\) | 3.04432 | + | 5.27291i | 0.220279 | + | 0.381534i | 0.954893 | − | 0.296951i | \(-0.0959699\pi\) |
−0.734614 | + | 0.678486i | \(0.762637\pi\) | |||||||
\(192\) | 6.93941 | − | 12.0194i | 0.500809 | − | 0.867427i | ||||
\(193\) | −13.9940 | + | 3.74968i | −1.00731 | + | 0.269908i | −0.724505 | − | 0.689270i | \(-0.757932\pi\) |
−0.282805 | + | 0.959177i | \(0.591265\pi\) | |||||||
\(194\) | −14.8771 | −1.06811 | ||||||||
\(195\) | 6.86892 | + | 11.9985i | 0.491894 | + | 0.859228i | ||||
\(196\) | −24.8556 | − | 4.42130i | −1.77540 | − | 0.315807i | ||||
\(197\) | −4.33340 | − | 16.1725i | −0.308742 | − | 1.15224i | −0.929676 | − | 0.368379i | \(-0.879913\pi\) |
0.620934 | − | 0.783863i | \(-0.286754\pi\) | |||||||
\(198\) | 7.83424 | − | 13.5693i | 0.556755 | − | 0.964328i | ||||
\(199\) | −9.90747 | − | 17.1602i | −0.702322 | − | 1.21646i | −0.967649 | − | 0.252298i | \(-0.918814\pi\) |
0.265328 | − | 0.964158i | \(-0.414520\pi\) | |||||||
\(200\) | 13.9130 | − | 13.9130i | 0.983795 | − | 0.983795i | ||||
\(201\) | −2.72737 | + | 10.1787i | −0.192374 | + | 0.717948i | ||||
\(202\) | −30.5084 | − | 8.17471i | −2.14657 | − | 0.575171i | ||||
\(203\) | 5.44936 | − | 4.56557i | 0.382470 | − | 0.320440i | ||||
\(204\) | 3.13002 | + | 5.42135i | 0.219145 | + | 0.379570i | ||||
\(205\) | −14.4373 | − | 8.33541i | −1.00835 | − | 0.582170i | ||||
\(206\) | 3.78397 | + | 14.1220i | 0.263641 | + | 0.983923i | ||||
\(207\) | 8.13083i | 0.565132i | ||||||||
\(208\) | −1.69699 | + | 6.24182i | −0.117665 | + | 0.432792i | ||||
\(209\) | 10.6819i | 0.738885i | ||||||||
\(210\) | 23.6600 | − | 4.15354i | 1.63270 | − | 0.286621i | ||||
\(211\) | −9.56393 | + | 16.5652i | −0.658408 | + | 1.14040i | 0.322619 | + | 0.946529i | \(0.395437\pi\) |
−0.981028 | + | 0.193868i | \(0.937897\pi\) | |||||||
\(212\) | 23.6915 | − | 13.6783i | 1.62714 | − | 0.939428i | ||||
\(213\) | 7.32191 | + | 7.32191i | 0.501689 | + | 0.501689i | ||||
\(214\) | 19.5482 | + | 5.23793i | 1.33629 | + | 0.358058i | ||||
\(215\) | 19.4282 | + | 5.20577i | 1.32499 | + | 0.355031i | ||||
\(216\) | −14.7288 | + | 14.7288i | −1.00217 | + | 1.00217i | ||||
\(217\) | 5.94328 | + | 12.7705i | 0.403456 | + | 0.866917i | ||||
\(218\) | 9.57347 | + | 5.52725i | 0.648397 | + | 0.374352i | ||||
\(219\) | 18.3613 | − | 4.91989i | 1.24074 | − | 0.332455i | ||||
\(220\) | 48.9631 | 3.30109 | ||||||||
\(221\) | 3.66735 | + | 3.69428i | 0.246693 | + | 0.248504i | ||||
\(222\) | − | 1.76671i | − | 0.118574i | ||||||
\(223\) | 0.670621 | − | 0.179692i | 0.0449081 | − | 0.0120331i | −0.236295 | − | 0.971681i | \(-0.575933\pi\) |
0.281203 | + | 0.959648i | \(0.409267\pi\) | |||||||
\(224\) | −7.27831 | − | 5.10450i | −0.486303 | − | 0.341059i | ||||
\(225\) | 6.96374 | − | 4.02052i | 0.464249 | − | 0.268034i | ||||
\(226\) | −32.8202 | + | 32.8202i | −2.18316 | + | 2.18316i | ||||
\(227\) | 1.34886 | − | 5.03400i | 0.0895267 | − | 0.334118i | −0.906606 | − | 0.421978i | \(-0.861336\pi\) |
0.996133 | + | 0.0878596i | \(0.0280027\pi\) | |||||||
\(228\) | 2.81622 | − | 10.5103i | 0.186509 | − | 0.696060i | ||||
\(229\) | −0.749026 | + | 0.749026i | −0.0494970 | + | 0.0494970i | −0.731422 | − | 0.681925i | \(-0.761143\pi\) |
0.681925 | + | 0.731422i | \(0.261143\pi\) | |||||||
\(230\) | −34.2068 | + | 19.7493i | −2.25553 | + | 1.30223i | ||||
\(231\) | 11.0853 | + | 7.77445i | 0.729359 | + | 0.511521i | ||||
\(232\) | −9.87299 | + | 2.64546i | −0.648193 | + | 0.173683i | ||||
\(233\) | − | 1.32103i | − | 0.0865439i | −0.999063 | − | 0.0432719i | \(-0.986222\pi\) | ||
0.999063 | − | 0.0432719i | \(-0.0137782\pi\) | |||||||
\(234\) | −6.67794 | + | 11.4694i | −0.436551 | + | 0.749780i | ||||
\(235\) | 21.1097 | 1.37705 | ||||||||
\(236\) | −7.07546 | + | 1.89586i | −0.460573 | + | 0.123410i | ||||
\(237\) | 2.09577 | + | 1.20999i | 0.136135 | + | 0.0785973i | ||||
\(238\) | 8.20001 | − | 3.81621i | 0.531527 | − | 0.247368i | ||||
\(239\) | 15.2273 | − | 15.2273i | 0.984972 | − | 0.984972i | −0.0149168 | − | 0.999889i | \(-0.504748\pi\) |
0.999889 | + | 0.0149168i | \(0.00474835\pi\) | |||||||
\(240\) | −6.64475 | − | 1.78045i | −0.428917 | − | 0.114928i | ||||
\(241\) | −3.38927 | − | 0.908152i | −0.218322 | − | 0.0584992i | 0.148000 | − | 0.988987i | \(-0.452716\pi\) |
−0.366322 | + | 0.930488i | \(0.619383\pi\) | |||||||
\(242\) | 11.9191 | + | 11.9191i | 0.766191 | + | 0.766191i | ||||
\(243\) | −12.2279 | + | 7.05977i | −0.784419 | + | 0.452885i | ||||
\(244\) | 9.45024 | − | 16.3683i | 0.604989 | − | 1.04787i | ||||
\(245\) | −1.91235 | − | 22.2440i | −0.122176 | − | 1.42111i | ||||
\(246\) | 14.8795i | 0.948680i | ||||||||
\(247\) | 0.0330970 | − | 9.04800i | 0.00210591 | − | 0.575711i | ||||
\(248\) | − | 20.2520i | − | 1.28600i | ||||||
\(249\) | −2.25143 | − | 8.40244i | −0.142678 | − | 0.532483i | ||||
\(250\) | 1.12800 | + | 0.651249i | 0.0713407 | + | 0.0411886i | ||||
\(251\) | −8.75834 | − | 15.1699i | −0.552822 | − | 0.957515i | −0.998069 | − | 0.0621079i | \(-0.980218\pi\) |
0.445248 | − | 0.895407i | \(-0.353116\pi\) | |||||||
\(252\) | 9.52643 | + | 11.3705i | 0.600109 | + | 0.716276i | ||||
\(253\) | −21.5046 | − | 5.76214i | −1.35198 | − | 0.362262i | ||||
\(254\) | −0.725163 | + | 2.70634i | −0.0455008 | + | 0.169811i | ||||
\(255\) | −3.91458 | + | 3.91458i | −0.245140 | + | 0.245140i | ||||
\(256\) | 12.8609 | + | 22.2758i | 0.803807 | + | 1.39224i | ||||
\(257\) | −3.42559 | + | 5.93330i | −0.213683 | + | 0.370109i | −0.952864 | − | 0.303397i | \(-0.901879\pi\) |
0.739182 | + | 0.673506i | \(0.235212\pi\) | |||||||
\(258\) | −4.64639 | − | 17.3406i | −0.289272 | − | 1.07958i | ||||
\(259\) | −1.63563 | − | 0.144340i | −0.101633 | − | 0.00896884i | ||||
\(260\) | −41.4736 | − | 0.151708i | −2.57208 | − | 0.00940850i | ||||
\(261\) | −4.17717 | −0.258560 | ||||||||
\(262\) | 22.1189 | − | 5.92674i | 1.36651 | − | 0.366155i | ||||
\(263\) | −8.70849 | + | 15.0836i | −0.536989 | + | 0.930092i | 0.462076 | + | 0.886841i | \(0.347105\pi\) |
−0.999064 | + | 0.0432511i | \(0.986228\pi\) | |||||||
\(264\) | −9.73350 | − | 16.8589i | −0.599056 | − | 1.03759i | ||||
\(265\) | 17.1068 | + | 17.1068i | 1.05086 | + | 1.05086i | ||||
\(266\) | −14.7689 | − | 5.38802i | −0.905537 | − | 0.330361i | ||||
\(267\) | −2.17830 | + | 8.12952i | −0.133310 | + | 0.497518i | ||||
\(268\) | −22.3525 | − | 22.3525i | −1.36539 | − | 1.36539i | ||||
\(269\) | 0.145276 | − | 0.0838752i | 0.00885764 | − | 0.00511396i | −0.495565 | − | 0.868571i | \(-0.665039\pi\) |
0.504422 | + | 0.863457i | \(0.331706\pi\) | |||||||
\(270\) | −35.8126 | − | 20.6764i | −2.17949 | − | 1.25833i | ||||
\(271\) | 0.645525 | + | 2.40913i | 0.0392128 | + | 0.146344i | 0.982757 | − | 0.184903i | \(-0.0591972\pi\) |
−0.943544 | + | 0.331248i | \(0.892530\pi\) | |||||||
\(272\) | −2.59009 | −0.157047 | ||||||||
\(273\) | −9.36557 | − | 6.61960i | −0.566830 | − | 0.400636i | ||||
\(274\) | 15.6167 | 0.943441 | ||||||||
\(275\) | 5.69850 | + | 21.2671i | 0.343632 | + | 1.28245i | ||||
\(276\) | 19.6399 | + | 11.3391i | 1.18218 | + | 0.682532i | ||||
\(277\) | −7.38731 | + | 4.26506i | −0.443860 | + | 0.256263i | −0.705234 | − | 0.708975i | \(-0.749158\pi\) |
0.261373 | + | 0.965238i | \(0.415825\pi\) | |||||||
\(278\) | 38.0383 | + | 38.0383i | 2.28139 | + | 2.28139i | ||||
\(279\) | 2.14210 | − | 7.99444i | 0.128244 | − | 0.478614i | ||||
\(280\) | −11.0014 | + | 30.1554i | −0.657459 | + | 1.80213i | ||||
\(281\) | 15.7936 | + | 15.7936i | 0.942166 | + | 0.942166i | 0.998417 | − | 0.0562508i | \(-0.0179146\pi\) |
−0.0562508 | + | 0.998417i | \(0.517915\pi\) | |||||||
\(282\) | −9.42071 | − | 16.3171i | −0.560995 | − | 0.971672i | ||||
\(283\) | −4.79048 | + | 8.29736i | −0.284765 | + | 0.493227i | −0.972552 | − | 0.232685i | \(-0.925249\pi\) |
0.687787 | + | 0.725912i | \(0.258582\pi\) | |||||||
\(284\) | −30.0038 | + | 8.03949i | −1.78040 | + | 0.477056i | ||||
\(285\) | 9.62263 | 0.569996 | ||||||||
\(286\) | −25.6021 | − | 25.7901i | −1.51388 | − | 1.52500i | ||||
\(287\) | 13.7755 | + | 1.21565i | 0.813143 | + | 0.0717576i | ||||
\(288\) | 1.35194 | + | 5.04550i | 0.0796636 | + | 0.297309i | ||||
\(289\) | 7.45780 | − | 12.9173i | 0.438694 | − | 0.759841i | ||||
\(290\) | −10.1461 | − | 17.5735i | −0.595799 | − | 1.03195i | ||||
\(291\) | −5.34138 | + | 5.34138i | −0.313117 | + | 0.313117i | ||||
\(292\) | −14.7587 | + | 55.0802i | −0.863688 | + | 3.22333i | ||||
\(293\) | 14.5286 | + | 3.89292i | 0.848769 | + | 0.227427i | 0.656885 | − | 0.753991i | \(-0.271874\pi\) |
0.191884 | + | 0.981418i | \(0.438540\pi\) | |||||||
\(294\) | −16.3404 | + | 11.4051i | −0.952993 | + | 0.665157i | ||||
\(295\) | −3.23895 | − | 5.61003i | −0.188579 | − | 0.326628i | ||||
\(296\) | 2.04450 | + | 1.18039i | 0.118834 | + | 0.0686090i | ||||
\(297\) | −6.03264 | − | 22.5141i | −0.350049 | − | 1.30640i | ||||
\(298\) | − | 35.9672i | − | 2.08352i | ||||||
\(299\) | 18.1973 | + | 4.94738i | 1.05238 | + | 0.286114i | ||||
\(300\) | − | 22.4277i | − | 1.29486i | ||||||
\(301\) | −16.4336 | + | 2.88494i | −0.947219 | + | 0.166285i | ||||
\(302\) | 8.51488 | − | 14.7482i | 0.489976 | − | 0.848663i | ||||
\(303\) | −13.8885 | + | 8.01855i | −0.797875 | + | 0.460654i | ||||
\(304\) | 3.18342 | + | 3.18342i | 0.182582 | + | 0.182582i | ||||
\(305\) | 16.1451 | + | 4.32606i | 0.924464 | + | 0.247709i | ||||
\(306\) | −5.13328 | − | 1.37546i | −0.293450 | − | 0.0786296i | ||||
\(307\) | −15.7439 | + | 15.7439i | −0.898552 | + | 0.898552i | −0.995308 | − | 0.0967560i | \(-0.969153\pi\) |
0.0967560 | + | 0.995308i | \(0.469153\pi\) | |||||||
\(308\) | −36.8241 | + | 17.1376i | −2.09825 | + | 0.976508i | ||||
\(309\) | 6.42882 | + | 3.71168i | 0.365723 | + | 0.211150i | ||||
\(310\) | 38.8360 | − | 10.4061i | 2.20574 | − | 0.591025i | ||||
\(311\) | 3.89372 | 0.220793 | 0.110396 | − | 0.993888i | \(-0.464788\pi\) | ||||
0.110396 | + | 0.993888i | \(0.464788\pi\) | |||||||
\(312\) | 8.19241 | + | 14.3103i | 0.463804 | + | 0.810161i | ||||
\(313\) | − | 9.97498i | − | 0.563819i | −0.959441 | − | 0.281910i | \(-0.909032\pi\) | ||
0.959441 | − | 0.281910i | \(-0.0909678\pi\) | |||||||
\(314\) | 43.4620 | − | 11.6456i | 2.45270 | − | 0.657199i | ||||
\(315\) | −7.53241 | + | 10.7402i | −0.424403 | + | 0.605140i | ||||
\(316\) | −6.28689 | + | 3.62974i | −0.353665 | + | 0.204189i | ||||
\(317\) | 10.9787 | − | 10.9787i | 0.616625 | − | 0.616625i | −0.328039 | − | 0.944664i | \(-0.606388\pi\) |
0.944664 | + | 0.328039i | \(0.106388\pi\) | |||||||
\(318\) | 5.58871 | − | 20.8574i | 0.313399 | − | 1.16962i | ||||
\(319\) | 2.96026 | − | 11.0479i | 0.165743 | − | 0.618561i | ||||
\(320\) | −26.0348 | + | 26.0348i | −1.45539 | + | 1.45539i | ||||
\(321\) | 8.89905 | − | 5.13787i | 0.496697 | − | 0.286768i | ||||
\(322\) | 18.8137 | − | 26.8258i | 1.04845 | − | 1.49494i | ||||
\(323\) | 3.49959 | − | 0.937714i | 0.194723 | − | 0.0521758i | ||||
\(324\) | 6.92284i | 0.384602i | ||||||||
\(325\) | −4.76095 | − | 18.0317i | −0.264090 | − | 1.00022i | ||||
\(326\) | −2.40115 | −0.132987 | ||||||||
\(327\) | 5.42166 | − | 1.45273i | 0.299818 | − | 0.0803361i | ||||
\(328\) | −17.2191 | − | 9.94146i | −0.950766 | − | 0.548925i | ||||
\(329\) | −15.8762 | + | 7.38865i | −0.875283 | + | 0.407349i | ||||
\(330\) | 27.3280 | − | 27.3280i | 1.50436 | − | 1.50436i | ||||
\(331\) | 14.1453 | + | 3.79022i | 0.777495 | + | 0.208329i | 0.625680 | − | 0.780080i | \(-0.284822\pi\) |
0.151815 | + | 0.988409i | \(0.451488\pi\) | |||||||
\(332\) | 25.2057 | + | 6.75384i | 1.38334 | + | 0.370665i | ||||
\(333\) | 0.682212 | + | 0.682212i | 0.0373850 | + | 0.0373850i | ||||
\(334\) | 4.14075 | − | 2.39066i | 0.226572 | − | 0.130811i | ||||
\(335\) | 13.9776 | − | 24.2100i | 0.763680 | − | 1.32273i | ||||
\(336\) | 5.62056 | − | 0.986694i | 0.306627 | − | 0.0538286i | ||||
\(337\) | − | 11.8235i | − | 0.644066i | −0.946728 | − | 0.322033i | \(-0.895634\pi\) | ||
0.946728 | − | 0.322033i | \(-0.104366\pi\) | |||||||
\(338\) | 21.6060 | + | 21.9245i | 1.17521 | + | 1.19254i | ||||
\(339\) | 23.5670i | 1.27999i | ||||||||
\(340\) | −4.29823 | − | 16.0412i | −0.233104 | − | 0.869956i | ||||
\(341\) | 19.6258 | + | 11.3309i | 1.06280 | + | 0.613605i | ||||
\(342\) | 4.61865 | + | 7.99973i | 0.249748 | + | 0.432576i | ||||
\(343\) | 9.22389 | + | 16.0599i | 0.498043 | + | 0.867152i | ||||
\(344\) | 23.1716 | + | 6.20881i | 1.24933 | + | 0.334756i | ||||
\(345\) | −5.19072 | + | 19.3720i | −0.279459 | + | 1.04295i | ||||
\(346\) | −4.10283 | + | 4.10283i | −0.220569 | + | 0.220569i | ||||
\(347\) | 5.00685 | + | 8.67212i | 0.268782 | + | 0.465544i | 0.968548 | − | 0.248829i | \(-0.0800456\pi\) |
−0.699766 | + | 0.714372i | \(0.746712\pi\) | |||||||
\(348\) | −5.82539 | + | 10.0899i | −0.312274 | + | 0.540874i | ||||
\(349\) | 4.39634 | + | 16.4073i | 0.235330 | + | 0.878265i | 0.978000 | + | 0.208607i | \(0.0668928\pi\) |
−0.742669 | + | 0.669658i | \(0.766441\pi\) | |||||||
\(350\) | −32.2782 | − | 2.84846i | −1.72534 | − | 0.152257i | ||||
\(351\) | 5.04012 | + | 19.0890i | 0.269022 | + | 1.01890i | ||||
\(352\) | −14.3025 | −0.762326 | ||||||||
\(353\) | −34.8505 | + | 9.33817i | −1.85491 | + | 0.497021i | −0.999771 | − | 0.0213843i | \(-0.993193\pi\) |
−0.855135 | + | 0.518405i | \(0.826526\pi\) | |||||||
\(354\) | −2.89091 | + | 5.00721i | −0.153650 | + | 0.266130i | ||||
\(355\) | −13.7349 | − | 23.7896i | −0.728973 | − | 1.26262i | ||||
\(356\) | −17.8525 | − | 17.8525i | −0.946181 | − | 0.946181i | ||||
\(357\) | 1.57393 | − | 4.31422i | 0.0833010 | − | 0.228333i | ||||
\(358\) | 4.60217 | − | 17.1755i | 0.243232 | − | 0.907756i | ||||
\(359\) | −2.44977 | − | 2.44977i | −0.129294 | − | 0.129294i | 0.639498 | − | 0.768792i | \(-0.279142\pi\) |
−0.768792 | + | 0.639498i | \(0.779142\pi\) | |||||||
\(360\) | 16.3341 | − | 9.43047i | 0.860880 | − | 0.497030i | ||||
\(361\) | 11.0007 | + | 6.35125i | 0.578984 | + | 0.334276i | ||||
\(362\) | 3.02324 | + | 11.2829i | 0.158898 | + | 0.593014i | ||||
\(363\) | 8.55873 | 0.449217 | ||||||||
\(364\) | 31.2446 | − | 14.4021i | 1.63766 | − | 0.754877i | ||||
\(365\) | −50.4284 | −2.63954 | ||||||||
\(366\) | −3.86121 | − | 14.4102i | −0.201828 | − | 0.753234i | ||||
\(367\) | 10.9829 | + | 6.34099i | 0.573303 | + | 0.330997i | 0.758468 | − | 0.651711i | \(-0.225948\pi\) |
−0.185164 | + | 0.982708i | \(0.559282\pi\) | |||||||
\(368\) | −8.12600 | + | 4.69155i | −0.423597 | + | 0.244564i | ||||
\(369\) | −5.74569 | − | 5.74569i | −0.299109 | − | 0.299109i | ||||
\(370\) | −1.21305 | + | 4.52715i | −0.0630633 | + | 0.235355i | ||||
\(371\) | −18.8533 | − | 6.87811i | −0.978814 | − | 0.357094i | ||||
\(372\) | −16.3231 | − | 16.3231i | −0.846312 | − | 0.846312i | ||||
\(373\) | −15.0192 | − | 26.0141i | −0.777667 | − | 1.34696i | −0.933283 | − | 0.359141i | \(-0.883070\pi\) |
0.155617 | − | 0.987818i | \(-0.450264\pi\) | |||||||
\(374\) | 7.27567 | − | 12.6018i | 0.376216 | − | 0.651625i | ||||
\(375\) | 0.638808 | − | 0.171168i | 0.0329879 | − | 0.00883908i | ||||
\(376\) | 25.1771 | 1.29841 | ||||||||
\(377\) | −2.54169 | + | 9.34878i | −0.130904 | + | 0.481487i | ||||
\(378\) | 34.1709 | + | 3.01549i | 1.75756 | + | 0.155100i | ||||
\(379\) | 3.10882 | + | 11.6023i | 0.159689 | + | 0.595969i | 0.998658 | + | 0.0517891i | \(0.0164924\pi\) |
−0.838969 | + | 0.544180i | \(0.816841\pi\) | |||||||
\(380\) | −14.4330 | + | 24.9987i | −0.740398 | + | 1.28241i | ||||
\(381\) | 0.711310 | + | 1.23202i | 0.0364415 | + | 0.0631185i | ||||
\(382\) | −10.1942 | + | 10.1942i | −0.521579 | + | 0.521579i | ||||
\(383\) | −1.48137 | + | 5.52856i | −0.0756947 | + | 0.282496i | −0.993390 | − | 0.114789i | \(-0.963381\pi\) |
0.917695 | + | 0.397285i | \(0.130048\pi\) | |||||||
\(384\) | 23.9387 | + | 6.41436i | 1.22162 | + | 0.327331i | ||||
\(385\) | −23.0678 | − | 27.5332i | −1.17564 | − | 1.40322i | ||||
\(386\) | −17.1520 | − | 29.7082i | −0.873015 | − | 1.51211i | ||||
\(387\) | 8.49024 | + | 4.90184i | 0.431583 | + | 0.249175i | ||||
\(388\) | −5.86486 | − | 21.8879i | −0.297743 | − | 1.11119i | ||||
\(389\) | 16.4483i | 0.833960i | 0.908916 | + | 0.416980i | \(0.136912\pi\) | ||||
−0.908916 | + | 0.416980i | \(0.863088\pi\) | |||||||
\(390\) | −23.2325 | + | 23.0632i | −1.17643 | + | 1.16785i | ||||
\(391\) | 7.55112i | 0.381877i | ||||||||
\(392\) | −2.28082 | − | 26.5299i | −0.115199 | − | 1.33996i | ||||
\(393\) | 5.81352 | − | 10.0693i | 0.293253 | − | 0.507930i | ||||
\(394\) | 34.3329 | − | 19.8221i | 1.72967 | − | 0.998624i | ||||
\(395\) | −4.53956 | − | 4.53956i | −0.228410 | − | 0.228410i | ||||
\(396\) | 23.0522 | + | 6.17683i | 1.15842 | + | 0.310397i | ||||
\(397\) | −10.9116 | − | 2.92375i | −0.547636 | − | 0.146739i | −0.0256162 | − | 0.999672i | \(-0.508155\pi\) |
−0.522020 | + | 0.852933i | \(0.674821\pi\) | |||||||
\(398\) | 33.1761 | − | 33.1761i | 1.66297 | − | 1.66297i | ||||
\(399\) | −7.23699 | + | 3.36803i | −0.362302 | + | 0.168613i | ||||
\(400\) | 8.03625 | + | 4.63973i | 0.401812 | + | 0.231987i | ||||
\(401\) | −23.3830 | + | 6.26544i | −1.16769 | + | 0.312881i | −0.790033 | − | 0.613064i | \(-0.789937\pi\) |
−0.377656 | + | 0.925946i | \(0.623270\pi\) | |||||||
\(402\) | −24.9514 | −1.24446 | ||||||||
\(403\) | −16.5887 | − | 9.65855i | −0.826341 | − | 0.481127i | ||||
\(404\) | − | 48.1082i | − | 2.39347i | ||||||
\(405\) | −5.91359 | + | 1.58454i | −0.293849 | + | 0.0787366i | ||||
\(406\) | 13.7816 | + | 9.66545i | 0.683970 | + | 0.479688i | ||||
\(407\) | −2.28780 | + | 1.32086i | −0.113402 | + | 0.0654726i | ||||
\(408\) | −4.66883 | + | 4.66883i | −0.231142 | + | 0.231142i | ||||
\(409\) | −0.0933824 | + | 0.348508i | −0.00461746 | + | 0.0172326i | −0.968196 | − | 0.250192i | \(-0.919506\pi\) |
0.963579 | + | 0.267425i | \(0.0861728\pi\) | |||||||
\(410\) | 10.2165 | − | 38.1283i | 0.504555 | − | 1.88302i | ||||
\(411\) | 5.60692 | − | 5.60692i | 0.276569 | − | 0.276569i | ||||
\(412\) | −19.2852 | + | 11.1343i | −0.950114 | + | 0.548549i | ||||
\(413\) | 4.39952 | + | 3.08552i | 0.216486 | + | 0.151828i | ||||
\(414\) | −18.5963 | + | 4.98286i | −0.913957 | + | 0.244894i | ||||
\(415\) | 23.0769i | 1.13280i | ||||||||
\(416\) | 12.1148 | + | 0.0443150i | 0.593975 | + | 0.00217272i | ||||
\(417\) | 27.3140 | 1.33757 | ||||||||
\(418\) | −24.4310 | + | 6.54626i | −1.19496 | + | 0.320188i | ||||
\(419\) | −15.9181 | − | 9.19033i | −0.777651 | − | 0.448977i | 0.0579460 | − | 0.998320i | \(-0.481545\pi\) |
−0.835597 | + | 0.549343i | \(0.814878\pi\) | |||||||
\(420\) | 15.4382 | + | 33.1724i | 0.753305 | + | 1.61865i | ||||
\(421\) | 20.7439 | − | 20.7439i | 1.01099 | − | 1.01099i | 0.0110561 | − | 0.999939i | \(-0.496481\pi\) |
0.999939 | − | 0.0110561i | \(-0.00351933\pi\) | |||||||
\(422\) | −43.7479 | − | 11.7222i | −2.12962 | − | 0.570629i | ||||
\(423\) | 9.93864 | + | 2.66305i | 0.483233 | + | 0.129482i | ||||
\(424\) | 20.4030 | + | 20.4030i | 0.990855 | + | 0.990855i | ||||
\(425\) | 6.46724 | − | 3.73386i | 0.313707 | − | 0.181119i | ||||
\(426\) | −12.2590 | + | 21.2333i | −0.593952 | + | 1.02876i | ||||
\(427\) | −13.6565 | + | 2.39742i | −0.660887 | + | 0.116019i | ||||
\(428\) | 30.8252i | 1.48999i | ||||||||
\(429\) | −18.4515 | − | 0.0674943i | −0.890846 | − | 0.00325865i | ||||
\(430\) | 47.6251i | 2.29669i | ||||||||
\(431\) | −2.49781 | − | 9.32194i | −0.120315 | − | 0.449022i | 0.879314 | − | 0.476242i | \(-0.158001\pi\) |
−0.999629 | + | 0.0272197i | \(0.991335\pi\) | |||||||
\(432\) | −8.50747 | − | 4.91179i | −0.409316 | − | 0.236319i | ||||
\(433\) | 13.6960 | + | 23.7221i | 0.658186 | + | 1.14001i | 0.981085 | + | 0.193578i | \(0.0620093\pi\) |
−0.322899 | + | 0.946433i | \(0.604657\pi\) | |||||||
\(434\) | −25.5655 | + | 21.4192i | −1.22718 | + | 1.02816i | ||||
\(435\) | −9.95227 | − | 2.66670i | −0.477175 | − | 0.127859i | ||||
\(436\) | −4.35791 | + | 16.2639i | −0.208706 | + | 0.778901i | ||||
\(437\) | 9.28091 | − | 9.28091i | 0.443966 | − | 0.443966i | ||||
\(438\) | 22.5048 | + | 38.9795i | 1.07532 | + | 1.86251i | ||||
\(439\) | 17.2958 | − | 29.9571i | 0.825481 | − | 1.42978i | −0.0760695 | − | 0.997103i | \(-0.524237\pi\) |
0.901551 | − | 0.432673i | \(-0.142430\pi\) | |||||||
\(440\) | 13.3663 | + | 49.8838i | 0.637214 | + | 2.37812i | ||||
\(441\) | 1.90578 | − | 10.7139i | 0.0907516 | − | 0.510185i | ||||
\(442\) | −6.20181 | + | 10.6517i | −0.294990 | + | 0.506649i | ||||
\(443\) | 7.97215 | 0.378768 | 0.189384 | − | 0.981903i | \(-0.439351\pi\) | ||||
0.189384 | + | 0.981903i | \(0.439351\pi\) | |||||||
\(444\) | 2.59927 | − | 0.696472i | 0.123356 | − | 0.0330531i | ||||
\(445\) | 11.1637 | − | 19.3361i | 0.529209 | − | 0.916617i | ||||
\(446\) | 0.821959 | + | 1.42368i | 0.0389209 | + | 0.0674130i | ||||
\(447\) | −12.9134 | − | 12.9134i | −0.610784 | − | 0.610784i | ||||
\(448\) | 10.4678 | − | 28.6927i | 0.494555 | − | 1.35560i | ||||
\(449\) | −5.25579 | + | 19.6149i | −0.248036 | + | 0.925683i | 0.723797 | + | 0.690013i | \(0.242395\pi\) |
−0.971833 | + | 0.235670i | \(0.924271\pi\) | |||||||
\(450\) | 13.4631 | + | 13.4631i | 0.634655 | + | 0.634655i | ||||
\(451\) | 19.2682 | − | 11.1245i | 0.907302 | − | 0.523831i | ||||
\(452\) | −61.2250 | − | 35.3483i | −2.87978 | − | 1.66264i | ||||
\(453\) | −2.23797 | − | 8.35221i | −0.105149 | − | 0.392421i | ||||
\(454\) | 12.3400 | 0.579146 | ||||||||
\(455\) | 19.4540 | + | 23.3931i | 0.912016 | + | 1.09669i | ||||
\(456\) | 11.4767 | 0.537446 | ||||||||
\(457\) | 0.363747 | + | 1.35752i | 0.0170154 | + | 0.0635022i | 0.973912 | − | 0.226928i | \(-0.0728682\pi\) |
−0.956896 | + | 0.290430i | \(0.906202\pi\) | |||||||
\(458\) | −2.17215 | − | 1.25409i | −0.101498 | − | 0.0585998i | ||||
\(459\) | −6.84646 | + | 3.95280i | −0.319565 | + | 0.184501i | ||||
\(460\) | −42.5412 | − | 42.5412i | −1.98349 | − | 1.98349i | ||||
\(461\) | −4.89285 | + | 18.2604i | −0.227883 | + | 0.850469i | 0.753347 | + | 0.657624i | \(0.228438\pi\) |
−0.981229 | + | 0.192846i | \(0.938228\pi\) | |||||||
\(462\) | −10.9877 | + | 30.1180i | −0.511195 | + | 1.40121i | ||||
\(463\) | 22.4573 | + | 22.4573i | 1.04368 | + | 1.04368i | 0.999002 | + | 0.0446754i | \(0.0142253\pi\) |
0.0446754 | + | 0.999002i | \(0.485775\pi\) | |||||||
\(464\) | −2.41026 | − | 4.17468i | −0.111893 | − | 0.193805i | ||||
\(465\) | 10.2073 | − | 17.6795i | 0.473352 | − | 0.819869i | ||||
\(466\) | 3.02138 | − | 0.809576i | 0.139963 | − | 0.0375029i | ||||
\(467\) | −28.3889 | −1.31368 | −0.656841 | − | 0.754029i | \(-0.728108\pi\) | ||||
−0.656841 | + | 0.754029i | \(0.728108\pi\) | |||||||
\(468\) | −19.5070 | − | 5.30343i | −0.901711 | − | 0.245151i | ||||
\(469\) | −2.03853 | + | 23.1002i | −0.0941304 | + | 1.06667i | ||||
\(470\) | 12.9368 | + | 48.2807i | 0.596729 | + | 2.22702i | ||||
\(471\) | 11.4231 | − | 19.7854i | 0.526350 | − | 0.911665i | ||||
\(472\) | −3.86302 | − | 6.69096i | −0.177810 | − | 0.307976i | ||||
\(473\) | −18.9813 | + | 18.9813i | −0.872762 | + | 0.872762i | ||||
\(474\) | −1.48305 | + | 5.53481i | −0.0681187 | + | 0.254222i | ||||
\(475\) | −12.5379 | − | 3.35953i | −0.575280 | − | 0.154146i | ||||
\(476\) | 8.84721 | + | 10.5598i | 0.405511 | + | 0.484009i | ||||
\(477\) | 5.89597 | + | 10.2121i | 0.269958 | + | 0.467581i | ||||
\(478\) | 44.1586 | + | 25.4950i | 2.01977 | + | 1.16611i | ||||
\(479\) | 0.905222 | + | 3.37834i | 0.0413607 | + | 0.154360i | 0.983518 | − | 0.180811i | \(-0.0578724\pi\) |
−0.942157 | + | 0.335172i | \(0.891206\pi\) | |||||||
\(480\) | 12.8842i | 0.588079i | ||||||||
\(481\) | 1.94194 | − | 1.11173i | 0.0885449 | − | 0.0506905i | ||||
\(482\) | − | 8.30825i | − | 0.378430i | ||||||
\(483\) | −2.87660 | − | 16.3861i | −0.130890 | − | 0.745594i | ||||
\(484\) | −12.8373 | + | 22.2348i | −0.583512 | + | 1.01067i | ||||
\(485\) | 17.3546 | − | 10.0197i | 0.788033 | − | 0.454971i | ||||
\(486\) | −23.6403 | − | 23.6403i | −1.07235 | − | 1.07235i | ||||
\(487\) | −23.4826 | − | 6.29214i | −1.06410 | − | 0.285124i | −0.316032 | − | 0.948749i | \(-0.602351\pi\) |
−0.748066 | + | 0.663625i | \(0.769017\pi\) | |||||||
\(488\) | 19.2559 | + | 5.15960i | 0.871672 | + | 0.233564i | ||||
\(489\) | −0.862092 | + | 0.862092i | −0.0389851 | + | 0.0389851i | ||||
\(490\) | 49.7029 | − | 18.0057i | 2.24535 | − | 0.813414i | ||||
\(491\) | −5.24444 | − | 3.02788i | −0.236678 | − | 0.136646i | 0.376971 | − | 0.926225i | \(-0.376966\pi\) |
−0.613649 | + | 0.789579i | \(0.710299\pi\) | |||||||
\(492\) | −21.8914 | + | 5.86579i | −0.986941 | + | 0.264450i | ||||
\(493\) | −3.87934 | −0.174717 | ||||||||
\(494\) | 20.7142 | − | 5.46923i | 0.931978 | − | 0.246072i | ||||
\(495\) | 21.1054i | 0.948615i | ||||||||
\(496\) | 9.22569 | − | 2.47202i | 0.414246 | − | 0.110997i | ||||
\(497\) | 18.6564 | + | 13.0843i | 0.836852 | + | 0.586909i | ||||
\(498\) | 17.8377 | − | 10.2986i | 0.799328 | − | 0.461492i | ||||
\(499\) | 12.9362 | − | 12.9362i | 0.579103 | − | 0.579103i | −0.355553 | − | 0.934656i | \(-0.615707\pi\) |
0.934656 | + | 0.355553i | \(0.115707\pi\) | |||||||
\(500\) | −0.513471 | + | 1.91630i | −0.0229631 | + | 0.0856995i | ||||
\(501\) | 0.628339 | − | 2.34499i | 0.0280721 | − | 0.104767i | ||||
\(502\) | 29.3281 | − | 29.3281i | 1.30898 | − | 1.30898i | ||||
\(503\) | −7.01237 | + | 4.04859i | −0.312666 | + | 0.180518i | −0.648119 | − | 0.761539i | \(-0.724444\pi\) |
0.335453 | + | 0.942057i | \(0.391111\pi\) | |||||||
\(504\) | −8.98374 | + | 12.8096i | −0.400167 | + | 0.570584i | ||||
\(505\) | 41.0947 | − | 11.0113i | 1.82869 | − | 0.489996i | ||||
\(506\) | − | 52.7150i | − | 2.34347i | ||||||
\(507\) | 15.6289 | + | 0.114340i | 0.694104 | + | 0.00507804i | ||||
\(508\) | −4.26758 | −0.189343 | ||||||||
\(509\) | −15.6029 | + | 4.18077i | −0.691584 | + | 0.185309i | −0.587458 | − | 0.809255i | \(-0.699871\pi\) |
−0.104126 | + | 0.994564i | \(0.533205\pi\) | |||||||
\(510\) | −11.3521 | − | 6.55416i | −0.502681 | − | 0.290223i | ||||
\(511\) | 37.9262 | − | 17.6505i | 1.67776 | − | 0.780814i | ||||
\(512\) | −13.9135 | + | 13.9135i | −0.614896 | + | 0.614896i | ||||
\(513\) | 13.2731 | + | 3.55652i | 0.586023 | + | 0.157024i | ||||
\(514\) | −15.6696 | − | 4.19864i | −0.691154 | − | 0.185194i | ||||
\(515\) | −13.9252 | − | 13.9252i | −0.613619 | − | 0.613619i | ||||
\(516\) | 23.6806 | − | 13.6720i | 1.04248 | − | 0.601876i | ||||
\(517\) | −14.0866 | + | 24.3987i | −0.619527 | + | 1.07305i | ||||
\(518\) | −0.672247 | − | 3.82936i | −0.0295368 | − | 0.168252i | ||||
\(519\) | 2.94610i | 0.129320i | ||||||||
\(520\) | −11.1672 | − | 42.2949i | −0.489715 | − | 1.85475i | ||||
\(521\) | − | 32.3470i | − | 1.41715i | −0.705636 | − | 0.708574i | \(-0.749339\pi\) | ||
0.705636 | − | 0.708574i | \(-0.250661\pi\) | |||||||
\(522\) | −2.55991 | − | 9.55373i | −0.112044 | − | 0.418155i | ||||
\(523\) | −18.4602 | − | 10.6580i | −0.807210 | − | 0.466043i | 0.0387760 | − | 0.999248i | \(-0.487654\pi\) |
−0.845986 | + | 0.533205i | \(0.820987\pi\) | |||||||
\(524\) | 17.4394 | + | 30.2060i | 0.761845 | + | 1.31956i | ||||
\(525\) | −12.6116 | + | 10.5663i | −0.550417 | + | 0.461150i | ||||
\(526\) | −39.8349 | − | 10.6737i | −1.73688 | − | 0.465397i | ||||
\(527\) | 1.98937 | − | 7.42445i | 0.0866585 | − | 0.323414i | ||||
\(528\) | 6.49191 | − | 6.49191i | 0.282524 | − | 0.282524i | ||||
\(529\) | 2.17769 | + | 3.77187i | 0.0946821 | + | 0.163994i | ||||
\(530\) | −28.6419 | + | 49.6092i | −1.24413 | + | 2.15489i | ||||
\(531\) | −0.817205 | − | 3.04985i | −0.0354637 | − | 0.132352i | ||||
\(532\) | 2.10494 | − | 23.8527i | 0.0912606 | − | 1.03415i | ||||
\(533\) | −16.3553 | + | 9.36315i | −0.708428 | + | 0.405563i | ||||
\(534\) | −19.9282 | −0.862378 | ||||||||
\(535\) | −26.3314 | + | 7.05547i | −1.13840 | + | 0.305034i | ||||
\(536\) | 16.6708 | − | 28.8747i | 0.720070 | − | 1.24720i | ||||
\(537\) | −4.51426 | − | 7.81892i | −0.194805 | − | 0.337411i | ||||
\(538\) | 0.280864 | + | 0.280864i | 0.0121089 | + | 0.0121089i | ||||
\(539\) | 26.9857 | + | 12.6331i | 1.16236 | + | 0.544148i | ||||
\(540\) | 16.3021 | − | 60.8404i | 0.701532 | − | 2.61815i | ||||
\(541\) | 13.0949 | + | 13.0949i | 0.562992 | + | 0.562992i | 0.930156 | − | 0.367164i | \(-0.119671\pi\) |
−0.367164 | + | 0.930156i | \(0.619671\pi\) | |||||||
\(542\) | −5.11440 | + | 2.95280i | −0.219682 | + | 0.126834i | ||||
\(543\) | 5.13637 | + | 2.96548i | 0.220423 | + | 0.127261i | ||||
\(544\) | 1.25555 | + | 4.68576i | 0.0538311 | + | 0.200900i | ||||
\(545\) | −14.8904 | −0.637833 | ||||||||
\(546\) | 9.40033 | − | 25.4770i | 0.402297 | − | 1.09032i | ||||
\(547\) | −35.0943 | −1.50053 | −0.750263 | − | 0.661140i | \(-0.770073\pi\) | ||||
−0.750263 | + | 0.661140i | \(0.770073\pi\) | |||||||
\(548\) | 6.15643 | + | 22.9761i | 0.262990 | + | 0.981490i | ||||
\(549\) | 7.05549 | + | 4.07349i | 0.301121 | + | 0.173852i | ||||
\(550\) | −45.1483 | + | 26.0664i | −1.92513 | + | 1.11148i | ||||
\(551\) | 4.76801 | + | 4.76801i | 0.203124 | + | 0.203124i | ||||
\(552\) | −6.19086 | + | 23.1046i | −0.263500 | + | 0.983397i | ||||
\(553\) | 5.00301 | + | 1.82521i | 0.212749 | + | 0.0776159i | ||||
\(554\) | −14.2820 | − | 14.2820i | −0.606782 | − | 0.606782i | ||||
\(555\) | 1.18987 | + | 2.06092i | 0.0505073 | + | 0.0874812i | ||||
\(556\) | −40.9684 | + | 70.9594i | −1.73745 | + | 3.00935i | ||||
\(557\) | 9.16086 | − | 2.45464i | 0.388158 | − | 0.104007i | −0.0594618 | − | 0.998231i | \(-0.518938\pi\) |
0.447620 | + | 0.894224i | \(0.352272\pi\) | |||||||
\(558\) | 19.5971 | 0.829610 | ||||||||
\(559\) | 16.1367 | − | 16.0191i | 0.682510 | − | 0.677535i | ||||
\(560\) | −15.0800 | − | 1.33077i | −0.637248 | − | 0.0562354i | ||||
\(561\) | −1.91227 | − | 7.13668i | −0.0807360 | − | 0.301311i | ||||
\(562\) | −26.4431 | + | 45.8008i | −1.11544 | + | 1.93199i | ||||
\(563\) | 15.8351 | + | 27.4272i | 0.667369 | + | 1.15592i | 0.978637 | + | 0.205595i | \(0.0659129\pi\) |
−0.311268 | + | 0.950322i | \(0.600754\pi\) | |||||||
\(564\) | 20.2928 | − | 20.2928i | 0.854479 | − | 0.854479i | ||||
\(565\) | 16.1815 | − | 60.3901i | 0.680760 | − | 2.54063i | ||||
\(566\) | −21.9129 | − | 5.87155i | −0.921069 | − | 0.246800i | ||||
\(567\) | 3.89288 | − | 3.26153i | 0.163486 | − | 0.136971i | ||||
\(568\) | −16.3813 | − | 28.3733i | −0.687345 | − | 1.19052i | ||||
\(569\) | −6.05848 | − | 3.49787i | −0.253985 | − | 0.146638i | 0.367603 | − | 0.929983i | \(-0.380179\pi\) |
−0.621587 | + | 0.783345i | \(0.713512\pi\) | |||||||
\(570\) | 5.89708 | + | 22.0082i | 0.247002 | + | 0.921823i | ||||
\(571\) | − | 15.2998i | − | 0.640277i | −0.947371 | − | 0.320139i | \(-0.896271\pi\) | ||
0.947371 | − | 0.320139i | \(-0.103729\pi\) | |||||||
\(572\) | 27.8508 | − | 47.8340i | 1.16450 | − | 2.00004i | ||||
\(573\) | 7.32009i | 0.305801i | ||||||||
\(574\) | 5.66176 | + | 32.2514i | 0.236317 | + | 1.34615i | ||||
\(575\) | 13.5266 | − | 23.4288i | 0.564099 | − | 0.977049i | ||||
\(576\) | −15.5418 | + | 8.97304i | −0.647574 | + | 0.373877i | ||||
\(577\) | 29.5539 | + | 29.5539i | 1.23035 | + | 1.23035i | 0.963831 | + | 0.266516i | \(0.0858724\pi\) |
0.266516 | + | 0.963831i | \(0.414128\pi\) | |||||||
\(578\) | 34.1139 | + | 9.14080i | 1.41895 | + | 0.380207i | ||||
\(579\) | −16.8244 | − | 4.50807i | −0.699196 | − | 0.187349i | ||||
\(580\) | 21.8553 | − | 21.8553i | 0.907491 | − | 0.907491i | ||||
\(581\) | −8.07720 | − | 17.3557i | −0.335099 | − | 0.720036i | ||||
\(582\) | −15.4898 | − | 8.94304i | −0.642073 | − | 0.370701i | ||||
\(583\) | −31.1876 | + | 8.35668i | −1.29166 | + | 0.346098i | ||||
\(584\) | −60.1449 | −2.48881 | ||||||||
\(585\) | 0.0653930 | − | 17.8770i | 0.00270367 | − | 0.739125i | ||||
\(586\) | 35.6145i | 1.47122i | ||||||||
\(587\) | −0.941084 | + | 0.252163i | −0.0388427 | + | 0.0104079i | −0.278188 | − | 0.960527i | \(-0.589734\pi\) |
0.239345 | + | 0.970934i | \(0.423067\pi\) | |||||||
\(588\) | −23.2214 | − | 19.5447i | −0.957636 | − | 0.806012i | ||||
\(589\) | −11.5703 | + | 6.68012i | −0.476746 | + | 0.275250i | ||||
\(590\) | 10.8459 | − | 10.8459i | 0.446519 | − | 0.446519i | ||||
\(591\) | 5.20986 | − | 19.4435i | 0.214305 | − | 0.799797i | ||||
\(592\) | −0.288165 | + | 1.07545i | −0.0118435 | + | 0.0442006i | ||||
\(593\) | 27.9207 | − | 27.9207i | 1.14657 | − | 1.14657i | 0.159344 | − | 0.987223i | \(-0.449062\pi\) |
0.987223 | − | 0.159344i | \(-0.0509379\pi\) | |||||||
\(594\) | 47.7957 | − | 27.5949i | 1.96108 | − | 1.13223i | ||||
\(595\) | −6.99536 | + | 9.97442i | −0.286782 | + | 0.408911i | ||||
\(596\) | 52.9167 | − | 14.1790i | 2.16755 | − | 0.580794i | ||||
\(597\) | − | 23.8226i | − | 0.974994i | ||||||
\(598\) | −0.163333 | + | 44.6516i | −0.00667917 | + | 1.82594i | ||||
\(599\) | 16.5488 | 0.676164 | 0.338082 | − | 0.941117i | \(-0.390222\pi\) | ||||
0.338082 | + | 0.941117i | \(0.390222\pi\) | |||||||
\(600\) | 22.8494 | − | 6.12248i | 0.932824 | − | 0.249949i | ||||
\(601\) | 9.99562 | + | 5.77097i | 0.407730 | + | 0.235403i | 0.689814 | − | 0.723987i | \(-0.257692\pi\) |
−0.282084 | + | 0.959390i | \(0.591026\pi\) | |||||||
\(602\) | −16.6693 | − | 35.8179i | −0.679391 | − | 1.45983i | ||||
\(603\) | 9.63495 | − | 9.63495i | 0.392365 | − | 0.392365i | ||||
\(604\) | 25.0550 | + | 6.71347i | 1.01947 | + | 0.273167i | ||||
\(605\) | −21.9316 | − | 5.87655i | −0.891645 | − | 0.238916i | ||||
\(606\) | −26.8508 | − | 26.8508i | −1.09074 | − | 1.09074i | ||||
\(607\) | 18.5137 | − | 10.6889i | 0.751447 | − | 0.433848i | −0.0747696 | − | 0.997201i | \(-0.523822\pi\) |
0.826216 | + | 0.563353i | \(0.190489\pi\) | |||||||
\(608\) | 4.21600 | − | 7.30232i | 0.170981 | − | 0.296148i | ||||
\(609\) | 8.41827 | − | 1.47784i | 0.341126 | − | 0.0598849i | ||||
\(610\) | 39.5770i | 1.60243i | ||||||||
\(611\) | 12.0075 | − | 20.6230i | 0.485770 | − | 0.834315i | ||||
\(612\) | − | 8.09456i | − | 0.327203i | ||||||
\(613\) | 8.07793 | + | 30.1473i | 0.326265 | + | 1.21764i | 0.913034 | + | 0.407882i | \(0.133733\pi\) |
−0.586770 | + | 0.809754i | \(0.699601\pi\) | |||||||
\(614\) | −45.6568 | − | 26.3600i | −1.84256 | − | 1.06380i | ||||
\(615\) | −10.0213 | − | 17.3574i | −0.404097 | − | 0.699917i | ||||
\(616\) | −27.5124 | − | 32.8382i | −1.10851 | − | 1.32309i | ||||
\(617\) | 26.9421 | + | 7.21911i | 1.08465 | + | 0.290630i | 0.756498 | − | 0.653996i | \(-0.226909\pi\) |
0.328149 | + | 0.944626i | \(0.393575\pi\) | |||||||
\(618\) | −4.54929 | + | 16.9782i | −0.182999 | + | 0.682963i | ||||
\(619\) | −34.0406 | + | 34.0406i | −1.36821 | + | 1.36821i | −0.505214 | + | 0.862994i | \(0.668586\pi\) |
−0.862994 | + | 0.505214i | \(0.831414\pi\) | |||||||
\(620\) | 30.6199 | + | 53.0352i | 1.22972 | + | 2.12994i | ||||
\(621\) | −14.3198 | + | 24.8026i | −0.574633 | + | 0.995294i | ||||
\(622\) | 2.38621 | + | 8.90546i | 0.0956783 | + | 0.357076i | ||||
\(623\) | −1.62813 | + | 18.4497i | −0.0652298 | + | 0.739171i | ||||
\(624\) | −5.51901 | + | 5.47878i | −0.220937 | + | 0.219327i | ||||
\(625\) | 24.1079 | 0.964316 | ||||||||
\(626\) | 22.8141 | − | 6.11301i | 0.911834 | − | 0.244325i | ||||
\(627\) | −6.42121 | + | 11.1219i | −0.256438 | + | 0.444164i | ||||
\(628\) | 34.2672 | + | 59.3525i | 1.36741 | + | 2.36842i | ||||
\(629\) | 0.633571 | + | 0.633571i | 0.0252621 | + | 0.0252621i | ||||
\(630\) | −29.1803 | − | 10.6456i | −1.16257 | − | 0.424133i | ||||
\(631\) | −2.94853 | + | 11.0041i | −0.117379 | + | 0.438064i | −0.999454 | − | 0.0330448i | \(-0.989480\pi\) |
0.882075 | + | 0.471109i | \(0.156146\pi\) | |||||||
\(632\) | −5.41423 | − | 5.41423i | −0.215367 | − | 0.215367i | ||||
\(633\) | −19.9156 | + | 11.4983i | −0.791575 | + | 0.457016i | ||||
\(634\) | 31.8379 | + | 18.3816i | 1.26444 | + | 0.730026i | ||||
\(635\) | −0.976791 | − | 3.64543i | −0.0387628 | − | 0.144665i | ||||
\(636\) | 32.8896 | 1.30416 | ||||||||
\(637\) | −22.8188 | − | 10.7844i | −0.904114 | − | 0.427292i | ||||
\(638\) | 27.0820 | 1.07219 | ||||||||
\(639\) | −3.46539 | − | 12.9330i | −0.137089 | − | 0.511622i | ||||
\(640\) | −56.9382 | − | 32.8733i | −2.25068 | − | 1.29943i | ||||
\(641\) | −16.9100 | + | 9.76301i | −0.667906 | + | 0.385616i | −0.795283 | − | 0.606239i | \(-0.792678\pi\) |
0.127377 | + | 0.991854i | \(0.459344\pi\) | |||||||
\(642\) | 17.2046 | + | 17.2046i | 0.679012 | + | 0.679012i | ||||
\(643\) | 9.35047 | − | 34.8964i | 0.368747 | − | 1.37618i | −0.493524 | − | 0.869732i | \(-0.664291\pi\) |
0.862270 | − | 0.506449i | \(-0.169042\pi\) | |||||||
\(644\) | 46.8842 | + | 17.1044i | 1.84750 | + | 0.674010i | ||||
\(645\) | 17.0990 | + | 17.0990i | 0.673272 | + | 0.673272i | ||||
\(646\) | 4.28935 | + | 7.42937i | 0.168762 | + | 0.292304i | ||||
\(647\) | −2.89695 | + | 5.01767i | −0.113891 | + | 0.197265i | −0.917336 | − | 0.398114i | \(-0.869665\pi\) |
0.803445 | + | 0.595379i | \(0.202998\pi\) | |||||||
\(648\) | −7.05301 | + | 1.88985i | −0.277069 | + | 0.0742403i | ||||
\(649\) | 8.64544 | 0.339363 | ||||||||
\(650\) | 38.3231 | − | 21.9393i | 1.50316 | − | 0.860532i | ||||
\(651\) | −1.48865 | + | 16.8691i | −0.0583448 | + | 0.661152i | ||||
\(652\) | −0.946581 | − | 3.53269i | −0.0370710 | − | 0.138351i | ||||
\(653\) | −18.1035 | + | 31.3562i | −0.708445 | + | 1.22706i | 0.256989 | + | 0.966414i | \(0.417270\pi\) |
−0.965434 | + | 0.260648i | \(0.916064\pi\) | |||||||
\(654\) | 6.64516 | + | 11.5098i | 0.259846 | + | 0.450067i | ||||
\(655\) | −21.8108 | + | 21.8108i | −0.852217 | + | 0.852217i | ||||
\(656\) | 2.42697 | − | 9.05757i | 0.0947573 | − | 0.353639i | ||||
\(657\) | −23.7421 | − | 6.36168i | −0.926269 | − | 0.248193i | ||||
\(658\) | −26.6283 | − | 31.7829i | −1.03808 | − | 1.23903i | ||||
\(659\) | −10.3685 | − | 17.9588i | −0.403901 | − | 0.699576i | 0.590292 | − | 0.807190i | \(-0.299013\pi\) |
−0.994193 | + | 0.107613i | \(0.965679\pi\) | |||||||
\(660\) | 50.9796 | + | 29.4331i | 1.98438 | + | 1.14568i | ||||
\(661\) | −8.78410 | − | 32.7827i | −0.341662 | − | 1.27510i | −0.896464 | − | 0.443117i | \(-0.853872\pi\) |
0.554801 | − | 0.831983i | \(-0.312794\pi\) | |||||||
\(662\) | 34.6749i | 1.34768i | ||||||||
\(663\) | 1.59765 | + | 6.05097i | 0.0620476 | + | 0.235000i | ||||
\(664\) | 27.5234i | 1.06811i | ||||||||
\(665\) | 20.8572 | − | 3.66149i | 0.808806 | − | 0.141987i | ||||
\(666\) | −1.14222 | + | 1.97839i | −0.0442603 | + | 0.0766611i | ||||
\(667\) | −12.1708 | + | 7.02683i | −0.471257 | + | 0.272080i | ||||
\(668\) | 5.14963 | + | 5.14963i | 0.199245 | + | 0.199245i | ||||
\(669\) | 0.806257 | + | 0.216036i | 0.0311717 | + | 0.00835243i | ||||
\(670\) | 63.9374 | + | 17.1320i | 2.47012 | + | 0.661866i | ||||
\(671\) | −15.7737 | + | 15.7737i | −0.608937 | + | 0.608937i | ||||
\(672\) | −4.50961 | − | 9.68992i | −0.173962 | − | 0.373797i | ||||
\(673\) | −35.7571 | − | 20.6444i | −1.37834 | − | 0.795783i | −0.386377 | − | 0.922341i | \(-0.626274\pi\) |
−0.991959 | + | 0.126558i | \(0.959607\pi\) | |||||||
\(674\) | 27.0419 | − | 7.24584i | 1.04161 | − | 0.279099i | ||||
\(675\) | 28.3233 | 1.09016 | ||||||||
\(676\) | −23.7389 | + | 40.4309i | −0.913034 | + | 1.55504i | ||||
\(677\) | 45.2354i | 1.73854i | 0.494341 | + | 0.869268i | \(0.335410\pi\) | ||||
−0.494341 | + | 0.869268i | \(0.664590\pi\) | |||||||
\(678\) | −53.9009 | + | 14.4427i | −2.07005 | + | 0.554669i | ||||
\(679\) | −9.54505 | + | 13.6099i | −0.366305 | + | 0.522301i | ||||
\(680\) | 15.1695 | − | 8.75810i | 0.581723 | − | 0.335858i | ||||
\(681\) | 4.43048 | − | 4.43048i | 0.169776 | − | 0.169776i | ||||
\(682\) | −13.8880 | + | 51.8307i | −0.531799 | + | 1.98470i | ||||
\(683\) | 11.2563 | − | 42.0091i | 0.430710 | − | 1.60743i | −0.320419 | − | 0.947276i | \(-0.603824\pi\) |
0.751129 | − | 0.660156i | \(-0.229510\pi\) | |||||||
\(684\) | −9.94884 | + | 9.94884i | −0.380403 | + | 0.380403i | ||||
\(685\) | −18.2174 | + | 10.5178i | −0.696051 | + | 0.401866i | ||||
\(686\) | −31.0783 | + | 30.9383i | −1.18658 | + | 1.18123i | ||||
\(687\) | −1.23013 | + | 0.329613i | −0.0469325 | + | 0.0125755i | ||||
\(688\) | 11.3136i | 0.431326i | ||||||||
\(689\) | 26.4429 | − | 6.98179i | 1.00740 | − | 0.265985i | ||||
\(690\) | −47.4874 | −1.80781 | ||||||||
\(691\) | 20.7975 | − | 5.57267i | 0.791174 | − | 0.211994i | 0.159468 | − | 0.987203i | \(-0.449022\pi\) |
0.631705 | + | 0.775209i | \(0.282355\pi\) | |||||||
\(692\) | −7.65370 | − | 4.41887i | −0.290950 | − | 0.167980i | ||||
\(693\) | −7.38712 | − | 15.8729i | −0.280613 | − | 0.602962i | ||||
\(694\) | −16.7659 | + | 16.7659i | −0.636425 | + | 0.636425i | ||||
\(695\) | −69.9917 | − | 18.7542i | −2.65494 | − | 0.711388i | ||||
\(696\) | −11.8699 | − | 3.18052i | −0.449926 | − | 0.120557i | ||||
\(697\) | −5.33603 | − | 5.33603i | −0.202117 | − | 0.202117i | ||||
\(698\) | −34.8315 | + | 20.1100i | −1.31839 | + | 0.761174i | ||||
\(699\) | 0.794111 | − | 1.37544i | 0.0300360 | − | 0.0520239i | ||||
\(700\) | −8.53393 | − | 48.6123i | −0.322552 | − | 1.83737i | ||||
\(701\) | − | 8.77295i | − | 0.331350i | −0.986180 | − | 0.165675i | \(-0.947020\pi\) | ||
0.986180 | − | 0.165675i | \(-0.0529803\pi\) | |||||||
\(702\) | −40.5703 | + | 23.2258i | −1.53123 | + | 0.876602i | ||||
\(703\) | − | 1.55742i | − | 0.0587391i | ||||||
\(704\) | −12.7180 | − | 47.4642i | −0.479327 | − | 1.78887i | ||||
\(705\) | 21.9791 | + | 12.6896i | 0.827781 | + | 0.477920i | ||||
\(706\) | −42.7152 | − | 73.9850i | −1.60761 | − | 2.78446i | ||||
\(707\) | −27.0524 | + | 22.6650i | −1.01741 | + | 0.852405i | ||||
\(708\) | −8.50651 | − | 2.27931i | −0.319694 | − | 0.0856618i | ||||
\(709\) | −10.9783 | + | 40.9718i | −0.412300 | + | 1.53873i | 0.377881 | + | 0.925854i | \(0.376653\pi\) |
−0.790182 | + | 0.612872i | \(0.790014\pi\) | |||||||
\(710\) | 45.9926 | − | 45.9926i | 1.72607 | − | 1.72607i | ||||
\(711\) | −1.56458 | − | 2.70994i | −0.0586765 | − | 0.101631i | ||||
\(712\) | 13.3147 | − | 23.0617i | 0.498989 | − | 0.864274i | ||||
\(713\) | −7.20689 | − | 26.8965i | −0.269900 | − | 1.00728i | ||||
\(714\) | 10.8317 | + | 0.955871i | 0.405368 | + | 0.0357726i | ||||
\(715\) | 47.2352 | + | 12.8420i | 1.76650 | + | 0.480264i | ||||
\(716\) | 27.0838 | 1.01217 | ||||||||
\(717\) | 25.0080 | − | 6.70086i | 0.933939 | − | 0.250248i | ||||
\(718\) | 4.10165 | − | 7.10426i | 0.153072 | − | 0.265129i | ||||
\(719\) | −2.80010 | − | 4.84991i | −0.104426 | − | 0.180871i | 0.809078 | − | 0.587702i | \(-0.199967\pi\) |
−0.913504 | + | 0.406831i | \(0.866634\pi\) | |||||||
\(720\) | 6.28980 | + | 6.28980i | 0.234407 | + | 0.234407i | ||||
\(721\) | 15.3469 | + | 5.59889i | 0.571547 | + | 0.208513i | ||||
\(722\) | −7.78453 | + | 29.0523i | −0.289710 | + | 1.08121i | ||||
\(723\) | −2.98294 | − | 2.98294i | −0.110937 | − | 0.110937i | ||||
\(724\) | −15.4081 | + | 8.89587i | −0.572637 | + | 0.330612i | ||||
\(725\) | 12.0364 | + | 6.94923i | 0.447021 | + | 0.258088i | ||||
\(726\) | 5.24509 | + | 19.5749i | 0.194664 | + | 0.726494i | ||||
\(727\) | −32.0200 | −1.18756 | −0.593778 | − | 0.804629i | \(-0.702364\pi\) | ||||
−0.593778 | + | 0.804629i | \(0.702364\pi\) | |||||||
\(728\) | 23.2023 | + | 27.9005i | 0.859936 | + | 1.03406i | ||||
\(729\) | −22.7339 | −0.841996 | ||||||||
\(730\) | −30.9043 | − | 115.336i | −1.14382 | − | 4.26879i | ||||
\(731\) | 7.88490 | + | 4.55235i | 0.291633 | + | 0.168375i | ||||
\(732\) | 19.6789 | − | 11.3616i | 0.727352 | − | 0.419937i | ||||
\(733\) | −0.647616 | − | 0.647616i | −0.0239202 | − | 0.0239202i | 0.695046 | − | 0.718966i | \(-0.255384\pi\) |
−0.718966 | + | 0.695046i | \(0.755384\pi\) | |||||||
\(734\) | −7.77195 | + | 29.0053i | −0.286868 | + | 1.07061i | ||||
\(735\) | 11.3804 | − | 24.3096i | 0.419771 | − | 0.896674i | ||||
\(736\) | 12.4266 | + | 12.4266i | 0.458051 | + | 0.458051i | ||||
\(737\) | 18.6546 | + | 32.3108i | 0.687152 | + | 1.19018i | ||||
\(738\) | 9.61998 | − | 16.6623i | 0.354116 | − | 0.613348i | ||||
\(739\) | −8.47234 | + | 2.27016i | −0.311660 | + | 0.0835090i | −0.411259 | − | 0.911519i | \(-0.634911\pi\) |
0.0995988 | + | 0.995028i | \(0.468244\pi\) | |||||||
\(740\) | −7.13877 | −0.262427 | ||||||||
\(741\) | 5.47347 | − | 9.40074i | 0.201073 | − | 0.345345i | ||||
\(742\) | 4.17719 | − | 47.3351i | 0.153349 | − | 1.73773i | ||||
\(743\) | −9.56609 | − | 35.7011i | −0.350946 | − | 1.30975i | −0.885510 | − | 0.464620i | \(-0.846191\pi\) |
0.534564 | − | 0.845128i | \(-0.320476\pi\) | |||||||
\(744\) | 12.1740 | − | 21.0860i | 0.446321 | − | 0.773050i | ||||
\(745\) | 24.2238 | + | 41.9569i | 0.887492 | + | 1.53718i | ||||
\(746\) | 50.2933 | − | 50.2933i | 1.84137 | − | 1.84137i | ||||
\(747\) | −2.91122 | + | 10.8648i | −0.106516 | + | 0.397523i | ||||
\(748\) | 21.4087 | + | 5.73643i | 0.782778 | + | 0.209745i | ||||
\(749\) | 17.3338 | − | 14.5226i | 0.633363 | − | 0.530643i | ||||
\(750\) | 0.782967 | + | 1.35614i | 0.0285899 | + | 0.0495192i | ||||
\(751\) | −10.7508 | − | 6.20698i | −0.392303 | − | 0.226496i | 0.290855 | − | 0.956767i | \(-0.406060\pi\) |
−0.683157 | + | 0.730271i | \(0.739394\pi\) | |||||||
\(752\) | 3.07320 | + | 11.4693i | 0.112068 | + | 0.418243i | ||||
\(753\) | − | 21.0595i | − | 0.767452i | ||||||
\(754\) | −22.9395 | − | 0.0839112i | −0.835408 | − | 0.00305586i | ||||
\(755\) | 22.9390i | 0.834835i | ||||||||
\(756\) | 9.03433 | + | 51.4628i | 0.328576 | + | 1.87168i | ||||
\(757\) | 11.7793 | − | 20.4023i | 0.428124 | − | 0.741533i | −0.568582 | − | 0.822626i | \(-0.692508\pi\) |
0.996707 | + | 0.0810934i | \(0.0258412\pi\) | |||||||
\(758\) | −24.6307 | + | 14.2206i | −0.894628 | + | 0.516514i | ||||
\(759\) | −18.9264 | − | 18.9264i | −0.686986 | − | 0.686986i | ||||
\(760\) | −29.4088 | − | 7.88007i | −1.06677 | − | 0.285840i | ||||
\(761\) | −13.0838 | − | 3.50579i | −0.474286 | − | 0.127085i | 0.0137545 | − | 0.999905i | \(-0.495622\pi\) |
−0.488041 | + | 0.872821i | \(0.662288\pi\) | |||||||
\(762\) | −2.38189 | + | 2.38189i | −0.0862866 | + | 0.0862866i | ||||
\(763\) | 11.1987 | − | 5.21179i | 0.405421 | − | 0.188680i | ||||
\(764\) | −19.0169 | − | 10.9794i | −0.688008 | − | 0.397222i | ||||
\(765\) | 6.91450 | − | 1.85273i | 0.249994 | − | 0.0669857i | ||||
\(766\) | −13.5524 | −0.489667 | ||||||||
\(767\) | −7.32301 | − | 0.0267871i | −0.264419 | − | 0.000967225i | ||||
\(768\) | 30.9242i | 1.11588i | ||||||||
\(769\) | −29.8604 | + | 8.00107i | −1.07679 | + | 0.288526i | −0.753282 | − | 0.657698i | \(-0.771530\pi\) |
−0.323512 | + | 0.946224i | \(0.604864\pi\) | |||||||
\(770\) | 48.8352 | − | 69.6323i | 1.75990 | − | 2.50937i | ||||
\(771\) | −7.13334 | + | 4.11844i | −0.256901 | + | 0.148322i | ||||
\(772\) | 36.9465 | − | 36.9465i | 1.32973 | − | 1.32973i | ||||
\(773\) | −5.17138 | + | 19.2999i | −0.186002 | + | 0.694167i | 0.808412 | + | 0.588617i | \(0.200327\pi\) |
−0.994414 | + | 0.105551i | \(0.966339\pi\) | |||||||
\(774\) | −6.00804 | + | 22.4223i | −0.215954 | + | 0.805953i | ||||
\(775\) | −19.4721 | + | 19.4721i | −0.699460 | + | 0.699460i | ||||
\(776\) | 20.6985 | − | 11.9503i | 0.743032 | − | 0.428990i | ||||
\(777\) | −1.61622 | − | 1.13351i | −0.0579817 | − | 0.0406643i | ||||
\(778\) | −37.6193 | + | 10.0801i | −1.34872 | + | 0.361388i | ||||
\(779\) | 13.1168i | 0.469958i | ||||||||
\(780\) | −43.0904 | − | 25.0889i | −1.54289 | − | 0.898326i | ||||
\(781\) | 36.6613 | 1.31185 | ||||||||
\(782\) | −17.2704 | + | 4.62759i | −0.617588 | + | 0.165482i | ||||
\(783\) | −12.7422 | − | 7.35671i | −0.455369 | − | 0.262907i | ||||
\(784\) | 11.8072 | − | 4.27734i | 0.421685 | − | 0.152762i | ||||
\(785\) | −42.8565 | + | 42.8565i | −1.52961 | + | 1.52961i | ||||
\(786\) | 26.5926 | + | 7.12546i | 0.948526 | + | 0.254157i | ||||
\(787\) | 47.9041 | + | 12.8359i | 1.70760 | + | 0.457549i | 0.974834 | − | 0.222934i | \(-0.0715635\pi\) |
0.732764 | + | 0.680483i | \(0.238230\pi\) | |||||||
\(788\) | 42.6980 | + | 42.6980i | 1.52105 | + | 1.52105i | ||||
\(789\) | −18.1343 | + | 10.4698i | −0.645597 | + | 0.372736i | ||||
\(790\) | 7.60056 | − | 13.1646i | 0.270416 | − | 0.468374i | ||||
\(791\) | 8.96746 | + | 51.0818i | 0.318846 | + | 1.81626i | ||||
\(792\) | 25.1719i | 0.894445i | ||||||||
\(793\) | 13.4098 | − | 13.3121i | 0.476196 | − | 0.472725i | ||||
\(794\) | − | 26.7480i | − | 0.949250i | ||||||
\(795\) | 7.52797 | + | 28.0948i | 0.266990 | + | 0.996418i | ||||
\(796\) | 61.8889 | + | 35.7316i | 2.19360 | + | 1.26647i | ||||
\(797\) | 3.67854 | + | 6.37141i | 0.130300 | + | 0.225687i | 0.923792 | − | 0.382894i | \(-0.125072\pi\) |
−0.793492 | + | 0.608581i | \(0.791739\pi\) | |||||||
\(798\) | −12.1382 | − | 14.4879i | −0.429688 | − | 0.512866i | ||||
\(799\) | 9.23003 | + | 2.47318i | 0.326535 | + | 0.0874948i | ||||
\(800\) | 4.49822 | − | 16.7876i | 0.159036 | − | 0.593531i | ||||
\(801\) | 7.69525 | − | 7.69525i | 0.271898 | − | 0.271898i | ||||
\(802\) | −28.6598 | − | 49.6402i | −1.01201 | − | 1.75286i | ||||
\(803\) | 33.6510 | − | 58.2853i | 1.18752 | − | 2.05684i | ||||
\(804\) | −9.83634 | − | 36.7097i | −0.346901 | − | 1.29465i | ||||
\(805\) | −3.87972 | + | 43.9642i | −0.136742 | + | 1.54953i | ||||
\(806\) | 11.9243 | − | 43.8596i | 0.420014 | − | 1.54489i | ||||
\(807\) | 0.201679 | 0.00709943 | ||||||||
\(808\) | 49.0128 | − | 13.1329i | 1.72426 | − | 0.462015i | ||||
\(809\) | −20.3898 | + | 35.3162i | −0.716867 | + | 1.24165i | 0.245368 | + | 0.969430i | \(0.421091\pi\) |
−0.962235 | + | 0.272220i | \(0.912242\pi\) | |||||||
\(810\) | −7.24811 | − | 12.5541i | −0.254673 | − | 0.441106i | ||||
\(811\) | 2.15658 | + | 2.15658i | 0.0757278 | + | 0.0757278i | 0.743956 | − | 0.668228i | \(-0.232947\pi\) |
−0.668228 | + | 0.743956i | \(0.732947\pi\) | |||||||
\(812\) | −8.78731 | + | 24.0865i | −0.308374 | + | 0.845271i | ||||
\(813\) | −0.776086 | + | 2.89639i | −0.0272185 | + | 0.101581i | ||||
\(814\) | −4.42302 | − | 4.42302i | −0.155027 | − | 0.155027i | ||||
\(815\) | 2.80102 | − | 1.61717i | 0.0981153 | − | 0.0566469i | ||||
\(816\) | −2.69676 | − | 1.55697i | −0.0944054 | − | 0.0545050i | ||||
\(817\) | −4.09596 | − | 15.2863i | −0.143299 | − | 0.534801i | ||||
\(818\) | −0.854311 | −0.0298703 | ||||||||
\(819\) | 6.20799 | + | 13.4678i | 0.216925 | + | 0.470605i | ||||
\(820\) | 60.1238 | 2.09961 | ||||||||
\(821\) | 9.67009 | + | 36.0893i | 0.337488 | + | 1.25952i | 0.901146 | + | 0.433516i | \(0.142727\pi\) |
−0.563658 | + | 0.826009i | \(0.690606\pi\) | |||||||
\(822\) | 16.2599 | + | 9.38764i | 0.567128 | + | 0.327432i | ||||
\(823\) | 31.8883 | − | 18.4107i | 1.11156 | − | 0.641757i | 0.172324 | − | 0.985040i | \(-0.444872\pi\) |
0.939232 | + | 0.343283i | \(0.111539\pi\) | |||||||
\(824\) | −16.6083 | − | 16.6083i | −0.578578 | − | 0.578578i | ||||
\(825\) | −6.85105 | + | 25.5685i | −0.238523 | + | 0.890179i | ||||
\(826\) | −4.36080 | + | 11.9532i | −0.151732 | + | 0.415905i | ||||
\(827\) | −16.2525 | − | 16.2525i | −0.565154 | − | 0.565154i | 0.365613 | − | 0.930767i | \(-0.380859\pi\) |
−0.930767 | + | 0.365613i | \(0.880859\pi\) | |||||||
\(828\) | −14.6621 | − | 25.3954i | −0.509542 | − | 0.882552i | ||||
\(829\) | 6.86086 | − | 11.8834i | 0.238287 | − | 0.412726i | −0.721936 | − | 0.691960i | \(-0.756747\pi\) |
0.960223 | + | 0.279234i | \(0.0900806\pi\) | |||||||
\(830\) | −52.7800 | + | 14.1424i | −1.83202 | + | 0.490888i | ||||
\(831\) | −10.2554 | −0.355756 | ||||||||
\(832\) | 10.6256 | + | 40.2434i | 0.368375 | + | 1.39519i | ||||
\(833\) | 1.76991 | − | 9.95001i | 0.0613236 | − | 0.344748i | ||||
\(834\) | 16.7390 | + | 62.4708i | 0.579624 | + | 2.16319i | ||||
\(835\) | −3.22021 | + | 5.57757i | −0.111440 | + | 0.193020i | ||||
\(836\) | −19.2624 | − | 33.3634i | −0.666203 | − | 1.15390i | ||||
\(837\) | 20.6139 | − | 20.6139i | 0.712521 | − | 0.712521i | ||||
\(838\) | 11.2643 | − | 42.0390i | 0.389119 | − | 1.45221i | ||||
\(839\) | 4.02716 | + | 1.07907i | 0.139033 | + | 0.0372537i | 0.327664 | − | 0.944794i | \(-0.393738\pi\) |
−0.188631 | + | 0.982048i | \(0.560405\pi\) | |||||||
\(840\) | −29.5817 | + | 24.7841i | −1.02067 | + | 0.855133i | ||||
\(841\) | 10.8900 | + | 18.8620i | 0.375517 | + | 0.650415i | ||||
\(842\) | 60.1565 | + | 34.7314i | 2.07313 | + | 1.19692i | ||||
\(843\) | 6.95006 | + | 25.9380i | 0.239373 | + | 0.893351i | ||||
\(844\) | − | 68.9853i | − | 2.37457i | ||||||
\(845\) | −39.9702 | − | 11.0240i | −1.37502 | − | 0.379238i | ||||
\(846\) | 24.3630i | 0.837617i | ||||||||
\(847\) | 18.5512 | − | 3.25667i | 0.637425 | − | 0.111901i | ||||
\(848\) | −6.80403 | + | 11.7849i | −0.233651 | + | 0.404696i | ||||
\(849\) | −9.97555 | + | 5.75939i | −0.342360 | + | 0.197662i | ||||
\(850\) | 12.5032 | + | 12.5032i | 0.428855 | + | 0.428855i | ||||
\(851\) | 3.13535 | + | 0.840114i | 0.107478 | + | 0.0287987i | ||||
\(852\) | −36.0722 | − | 9.66552i | −1.23581 | − | 0.331135i | ||||
\(853\) | 3.44436 | − | 3.44436i | 0.117933 | − | 0.117933i | −0.645678 | − | 0.763610i | \(-0.723425\pi\) |
0.763610 | + | 0.645678i | \(0.223425\pi\) | |||||||
\(854\) | −13.8524 | − | 29.7651i | −0.474020 | − | 1.01854i | ||||
\(855\) | −10.7756 | − | 6.22130i | −0.368518 | − | 0.212764i | ||||
\(856\) | −31.4048 | + | 8.41490i | −1.07340 | + | 0.287615i | ||||
\(857\) | −48.6245 | −1.66098 | −0.830491 | − | 0.557032i | \(-0.811940\pi\) | ||||
−0.830491 | + | 0.557032i | \(0.811940\pi\) | |||||||
\(858\) | −11.1533 | − | 42.2423i | −0.380769 | − | 1.44213i | ||||
\(859\) | − | 25.0980i | − | 0.856333i | −0.903700 | − | 0.428167i | \(-0.859160\pi\) | ||
0.903700 | − | 0.428167i | \(-0.140840\pi\) | |||||||
\(860\) | −70.0684 | + | 18.7748i | −2.38931 | + | 0.640214i | ||||
\(861\) | 13.6121 | + | 9.54656i | 0.463899 | + | 0.325346i | ||||
\(862\) | 19.7898 | − | 11.4256i | 0.674042 | − | 0.389158i | ||||
\(863\) | 36.7571 | − | 36.7571i | 1.25123 | − | 1.25123i | 0.296057 | − | 0.955170i | \(-0.404328\pi\) |
0.955170 | − | 0.296057i | \(-0.0956718\pi\) | |||||||
\(864\) | −4.76198 | + | 17.7720i | −0.162006 | + | 0.604614i | ||||
\(865\) | 2.02284 | − | 7.54933i | 0.0687785 | − | 0.256685i | ||||
\(866\) | −45.8622 | + | 45.8622i | −1.55846 | + | 1.55846i | ||||
\(867\) | 15.5299 | − | 8.96618i | 0.527423 | − | 0.304508i | ||||
\(868\) | −41.5915 | − | 29.1694i | −1.41171 | − | 0.990073i | ||||
\(869\) | 8.27609 | − | 2.21757i | 0.280747 | − | 0.0752259i | ||||
\(870\) | − | 24.3964i | − | 0.827115i | ||||||
\(871\) | −15.7011 | − | 27.4262i | −0.532010 | − | 0.929303i | ||||
\(872\) | −17.7594 | −0.601409 | ||||||||
\(873\) | 9.43472 | − | 2.52802i | 0.319317 | − | 0.0855607i | ||||
\(874\) | 26.9143 | + | 15.5390i | 0.910390 | + | 0.525614i | ||||
\(875\) | 1.31949 | − | 0.614080i | 0.0446070 | − | 0.0207597i | ||||
\(876\) | −48.4768 | + | 48.4768i | −1.63788 | + | 1.63788i | ||||
\(877\) | 32.3325 | + | 8.66346i | 1.09179 | + | 0.292544i | 0.759417 | − | 0.650604i | \(-0.225484\pi\) |
0.332373 | + | 0.943148i | \(0.392151\pi\) | |||||||
\(878\) | 79.1153 | + | 21.1989i | 2.67001 | + | 0.715428i | ||||
\(879\) | 12.7868 | + | 12.7868i | 0.431288 | + | 0.431288i | ||||
\(880\) | −21.0928 | + | 12.1779i | −0.711038 | + | 0.410518i | ||||
\(881\) | 26.0483 | − | 45.1170i | 0.877590 | − | 1.52003i | 0.0236116 | − | 0.999721i | \(-0.492483\pi\) |
0.853978 | − | 0.520309i | \(-0.174183\pi\) | |||||||
\(882\) | 25.6720 | − | 2.20707i | 0.864421 | − | 0.0743159i | ||||
\(883\) | − | 22.4598i | − | 0.755831i | −0.925840 | − | 0.377916i | \(-0.876641\pi\) | ||
0.925840 | − | 0.377916i | \(-0.123359\pi\) | |||||||
\(884\) | −18.1162 | − | 4.92531i | −0.609313 | − | 0.165656i | ||||
\(885\) | − | 7.78809i | − | 0.261794i | ||||||
\(886\) | 4.88561 | + | 18.2333i | 0.164135 | + | 0.612561i | ||||
\(887\) | −10.3759 | − | 5.99053i | −0.348389 | − | 0.201142i | 0.315587 | − | 0.948897i | \(-0.397799\pi\) |
−0.663975 | + | 0.747754i | \(0.731132\pi\) | |||||||
\(888\) | 1.41914 | + | 2.45801i | 0.0476231 | + | 0.0824856i | ||||
\(889\) | 2.01057 | + | 2.39977i | 0.0674323 | + | 0.0804856i | ||||
\(890\) | 51.0656 | + | 13.6830i | 1.71172 | + | 0.458655i | ||||
\(891\) | 2.11474 | − | 7.89231i | 0.0708464 | − | 0.264402i | ||||
\(892\) | −1.77055 | + | 1.77055i | −0.0592824 | + | 0.0592824i | ||||
\(893\) | −8.30469 | − | 14.3842i | −0.277906 | − | 0.481347i | ||||
\(894\) | 21.6209 | − | 37.4485i | 0.723110 | − | 1.25246i | ||||
\(895\) | 6.19911 | + | 23.1354i | 0.207213 | + | 0.773330i | ||||
\(896\) | 54.3281 | + | 4.79430i | 1.81497 | + | 0.160166i | ||||
\(897\) | 15.9728 | + | 16.0901i | 0.533315 | + | 0.537231i | ||||
\(898\) | −48.0827 | −1.60454 | ||||||||
\(899\) | 13.8179 | − | 3.70250i | 0.460853 | − | 0.123485i | ||||
\(900\) | −14.5001 | + | 25.1149i | −0.483337 | + | 0.837165i | ||||
\(901\) | 5.47560 | + | 9.48401i | 0.182419 | + | 0.315958i | ||||
\(902\) | 37.2513 | + | 37.2513i | 1.24033 | + | 1.24033i | ||||
\(903\) | −18.8446 | − | 6.87496i | −0.627110 | − | 0.228784i | ||||
\(904\) | 19.2993 | − | 72.0259i | 0.641885 | − | 2.39555i | ||||
\(905\) | −11.1257 | − | 11.1257i | −0.369830 | − | 0.369830i | ||||
\(906\) | 17.7311 | − | 10.2371i | 0.589076 | − | 0.340103i | ||||
\(907\) | −0.460660 | − | 0.265962i | −0.0152959 | − | 0.00883112i | 0.492333 | − | 0.870407i | \(-0.336144\pi\) |
−0.507628 | + | 0.861576i | \(0.669478\pi\) | |||||||
\(908\) | 4.86469 | + | 18.1553i | 0.161440 | + | 0.602504i | ||||
\(909\) | 20.7368 | 0.687798 | ||||||||
\(910\) | −41.5810 | + | 58.8299i | −1.37840 | + | 1.95019i | ||||
\(911\) | 2.16430 | 0.0717065 | 0.0358532 | − | 0.999357i | \(-0.488585\pi\) | ||||
0.0358532 | + | 0.999357i | \(0.488585\pi\) | |||||||
\(912\) | 1.40088 | + | 5.22816i | 0.0463878 | + | 0.173122i | ||||
\(913\) | −26.6724 | − | 15.3993i | −0.882727 | − | 0.509642i | ||||
\(914\) | −2.88191 | + | 1.66387i | −0.0953252 | + | 0.0550360i | ||||
\(915\) | 14.2095 | + | 14.2095i | 0.469750 | + | 0.469750i | ||||
\(916\) | 0.988776 | − | 3.69016i | 0.0326701 | − | 0.121926i | ||||
\(917\) | 8.76941 | − | 24.0375i | 0.289592 | − | 0.793787i | ||||
\(918\) | −13.2363 | − | 13.2363i | −0.436864 | − | 0.436864i | ||||
\(919\) | 12.9020 | + | 22.3470i | 0.425599 | + | 0.737158i | 0.996476 | − | 0.0838769i | \(-0.0267302\pi\) |
−0.570878 | + | 0.821035i | \(0.693397\pi\) | |||||||
\(920\) | 31.7279 | − | 54.9543i | 1.04604 | − | 1.81179i | ||||
\(921\) | −25.8564 | + | 6.92820i | −0.851997 | + | 0.228292i | ||||
\(922\) | −44.7623 | −1.47417 | ||||||||
\(923\) | −31.0535 | − | 0.113592i | −1.02214 | − | 0.00373892i | ||||
\(924\) | −48.6426 | − | 4.29258i | −1.60022 | − | 0.141215i | ||||
\(925\) | −0.830835 | − | 3.10072i | −0.0273177 | − | 0.101951i | ||||
\(926\) | −37.6001 | + | 65.1252i | −1.23562 | + | 2.14015i | ||||
\(927\) | −4.79941 | − | 8.31282i | −0.157633 | − | 0.273029i | ||||
\(928\) | −6.38410 | + | 6.38410i | −0.209568 | + | 0.209568i | ||||
\(929\) | −5.37770 | + | 20.0699i | −0.176437 | + | 0.658470i | 0.819866 | + | 0.572556i | \(0.194048\pi\) |
−0.996302 | + | 0.0859148i | \(0.972619\pi\) | |||||||
\(930\) | 46.6908 | + | 12.5108i | 1.53105 | + | 0.410244i | ||||
\(931\) | −14.4047 | + | 10.0540i | −0.472094 | + | 0.329506i | ||||
\(932\) | 2.38218 | + | 4.12605i | 0.0780308 | + | 0.135153i | ||||
\(933\) | 4.05408 | + | 2.34063i | 0.132725 | + | 0.0766286i | ||||
\(934\) | −17.3977 | − | 64.9291i | −0.569270 | − | 2.12455i | ||||
\(935\) | 19.6006i | 0.641008i | ||||||||
\(936\) | 0.0779928 | − | 21.3216i | 0.00254927 | − | 0.696917i | ||||
\(937\) | − | 37.2049i | − | 1.21543i | −0.794154 | − | 0.607716i | \(-0.792086\pi\) | ||
0.794154 | − | 0.607716i | \(-0.207914\pi\) | |||||||
\(938\) | −54.0824 | + | 9.49421i | −1.76585 | + | 0.309997i | ||||
\(939\) | 5.99623 | − | 10.3858i | 0.195680 | − | 0.338927i | ||||
\(940\) | −65.9331 | + | 38.0665i | −2.15050 | + | 1.24159i | ||||
\(941\) | −31.5449 | − | 31.5449i | −1.02833 | − | 1.02833i | −0.999587 | − | 0.0287483i | \(-0.990848\pi\) |
−0.0287483 | − | 0.999587i | \(-0.509152\pi\) | |||||||
\(942\) | 52.2524 | + | 14.0010i | 1.70247 | + | 0.456177i | ||||
\(943\) | −26.4064 | − | 7.07556i | −0.859910 | − | 0.230412i | ||||
\(944\) | 2.57650 | − | 2.57650i | 0.0838580 | − | 0.0838580i | ||||
\(945\) | −41.8924 | + | 19.4964i | −1.36276 | + | 0.634217i | ||||
\(946\) | −55.0452 | − | 31.7803i | −1.78967 | − | 1.03327i | ||||
\(947\) | −7.57686 | + | 2.03021i | −0.246215 | + | 0.0659731i | −0.379816 | − | 0.925062i | \(-0.624013\pi\) |
0.133601 | + | 0.991035i | \(0.457346\pi\) | |||||||
\(948\) | −8.72774 | −0.283464 | ||||||||
\(949\) | −28.6843 | + | 49.2656i | −0.931131 | + | 1.59923i | ||||
\(950\) | − | 30.7347i | − | 0.997166i | ||||||
\(951\) | 18.0304 | − | 4.83124i | 0.584677 | − | 0.156664i | ||||
\(952\) | −8.34321 | + | 11.8963i | −0.270405 | + | 0.385560i | ||||
\(953\) | 28.7075 | − | 16.5743i | 0.929926 | − | 0.536893i | 0.0431379 | − | 0.999069i | \(-0.486265\pi\) |
0.886788 | + | 0.462176i | \(0.152931\pi\) | |||||||
\(954\) | −19.7432 | + | 19.7432i | −0.639210 | + | 0.639210i | ||||
\(955\) | 5.02608 | − | 18.7576i | 0.162640 | − | 0.606981i | ||||
\(956\) | −20.1013 | + | 75.0190i | −0.650122 | + | 2.42629i | ||||
\(957\) | 9.72335 | − | 9.72335i | 0.314311 | − | 0.314311i | ||||
\(958\) | −7.17194 | + | 4.14072i | −0.231715 | + | 0.133781i | ||||
\(959\) | 10.0196 | − | 14.2865i | 0.323549 | − | 0.461337i | ||||
\(960\) | −42.7573 | + | 11.4568i | −1.37998 | + | 0.369766i | ||||
\(961\) | − | 2.65603i | − | 0.0856782i | ||||||
\(962\) | 3.73276 | + | 3.76017i | 0.120349 | + | 0.121233i | ||||
\(963\) | −13.2871 | −0.428171 | ||||||||
\(964\) | 12.2235 | − | 3.27528i | 0.393693 | − | 0.105490i | ||||
\(965\) | 40.0168 | + | 23.1037i | 1.28818 | + | 0.743734i | ||||
\(966\) | 35.7143 | − | 16.6211i | 1.14909 | − | 0.534776i | ||||
\(967\) | −21.9068 | + | 21.9068i | −0.704477 | + | 0.704477i | −0.965368 | − | 0.260892i | \(-0.915984\pi\) |
0.260892 | + | 0.965368i | \(0.415984\pi\) | |||||||
\(968\) | −26.1573 | − | 7.00883i | −0.840728 | − | 0.225272i | ||||
\(969\) | 4.20741 | + | 1.12737i | 0.135161 | + | 0.0362164i | ||||
\(970\) | 33.5519 | + | 33.5519i | 1.07729 | + | 1.07729i | ||||
\(971\) | −17.9328 | + | 10.3535i | −0.575490 | + | 0.332259i | −0.759339 | − | 0.650695i | \(-0.774478\pi\) |
0.183849 | + | 0.982954i | \(0.441144\pi\) | |||||||
\(972\) | 25.4613 | − | 44.1003i | 0.816672 | − | 1.41452i | ||||
\(973\) | 59.2035 | − | 10.3932i | 1.89798 | − | 0.333192i | ||||
\(974\) | − | 57.5638i | − | 1.84446i | ||||||
\(975\) | 5.88232 | − | 21.6362i | 0.188385 | − | 0.692914i | ||||
\(976\) | 9.40172i | 0.300942i | ||||||||
\(977\) | −4.63057 | − | 17.2815i | −0.148145 | − | 0.552885i | −0.999595 | − | 0.0284497i | \(-0.990943\pi\) |
0.851450 | − | 0.524436i | \(-0.175724\pi\) | |||||||
\(978\) | −2.50004 | − | 1.44340i | −0.0799423 | − | 0.0461547i | ||||
\(979\) | 14.8991 | + | 25.8060i | 0.476177 | + | 0.824763i | ||||
\(980\) | 46.0847 | + | 66.0272i | 1.47212 | + | 2.10916i | ||||
\(981\) | −7.01050 | − | 1.87846i | −0.223828 | − | 0.0599746i | ||||
\(982\) | 3.71118 | − | 13.8503i | 0.118429 | − | 0.441981i | ||||
\(983\) | −31.6634 | + | 31.6634i | −1.00990 | + | 1.00990i | −0.00995384 | + | 0.999950i | \(0.503168\pi\) |
−0.999950 | + | 0.00995384i | \(0.996832\pi\) | |||||||
\(984\) | −11.9522 | − | 20.7018i | −0.381021 | − | 0.659948i | ||||
\(985\) | −26.7003 | + | 46.2463i | −0.850742 | + | 1.47353i | ||||
\(986\) | −2.37740 | − | 8.87257i | −0.0757117 | − | 0.282560i | ||||
\(987\) | −20.9716 | − | 1.85068i | −0.667532 | − | 0.0589079i | ||||
\(988\) | 16.2126 | + | 28.3198i | 0.515791 | + | 0.900971i | ||||
\(989\) | 32.9835 | 1.04881 | ||||||||
\(990\) | −48.2707 | + | 12.9341i | −1.53414 | + | 0.411073i | ||||
\(991\) | 12.5780 | − | 21.7857i | 0.399553 | − | 0.692045i | −0.594118 | − | 0.804378i | \(-0.702499\pi\) |
0.993671 | + | 0.112332i | \(0.0358322\pi\) | |||||||
\(992\) | −8.94431 | − | 15.4920i | −0.283982 | − | 0.491871i | ||||
\(993\) | 12.4494 | + | 12.4494i | 0.395071 | + | 0.395071i | ||||
\(994\) | −18.4922 | + | 50.6880i | −0.586535 | + | 1.60773i | ||||
\(995\) | −16.3569 | + | 61.0449i | −0.518550 | + | 1.93525i | ||||
\(996\) | 22.1838 | + | 22.1838i | 0.702922 | + | 0.702922i | ||||
\(997\) | 10.3336 | − | 5.96610i | 0.327268 | − | 0.188948i | −0.327359 | − | 0.944900i | \(-0.606159\pi\) |
0.654628 | + | 0.755952i | \(0.272825\pi\) | |||||||
\(998\) | 37.5145 | + | 21.6590i | 1.18750 | + | 0.685604i | ||||
\(999\) | 0.879553 | + | 3.28254i | 0.0278278 | + | 0.103855i |
(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 | 91.2.bc.a.6.8 | yes | 32 | |
3.2 | odd | 2 | 819.2.fm.g.370.2 | 32 | |||
7.2 | even | 3 | 637.2.bb.b.227.7 | 32 | |||
7.3 | odd | 6 | 637.2.x.b.19.2 | 32 | |||
7.4 | even | 3 | 637.2.x.b.19.1 | 32 | |||
7.5 | odd | 6 | 637.2.bb.b.227.8 | 32 | |||
7.6 | odd | 2 | inner | 91.2.bc.a.6.7 | ✓ | 32 | |
13.11 | odd | 12 | inner | 91.2.bc.a.76.7 | yes | 32 | |
21.20 | even | 2 | 819.2.fm.g.370.1 | 32 | |||
39.11 | even | 12 | 819.2.fm.g.622.1 | 32 | |||
91.11 | odd | 12 | 637.2.bb.b.362.8 | 32 | |||
91.24 | even | 12 | 637.2.bb.b.362.7 | 32 | |||
91.37 | odd | 12 | 637.2.x.b.570.1 | 32 | |||
91.76 | even | 12 | inner | 91.2.bc.a.76.8 | yes | 32 | |
91.89 | even | 12 | 637.2.x.b.570.2 | 32 | |||
273.167 | odd | 12 | 819.2.fm.g.622.2 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.bc.a.6.7 | ✓ | 32 | 7.6 | odd | 2 | inner | |
91.2.bc.a.6.8 | yes | 32 | 1.1 | even | 1 | trivial | |
91.2.bc.a.76.7 | yes | 32 | 13.11 | odd | 12 | inner | |
91.2.bc.a.76.8 | yes | 32 | 91.76 | even | 12 | inner | |
637.2.x.b.19.1 | 32 | 7.4 | even | 3 | |||
637.2.x.b.19.2 | 32 | 7.3 | odd | 6 | |||
637.2.x.b.570.1 | 32 | 91.37 | odd | 12 | |||
637.2.x.b.570.2 | 32 | 91.89 | even | 12 | |||
637.2.bb.b.227.7 | 32 | 7.2 | even | 3 | |||
637.2.bb.b.227.8 | 32 | 7.5 | odd | 6 | |||
637.2.bb.b.362.7 | 32 | 91.24 | even | 12 | |||
637.2.bb.b.362.8 | 32 | 91.11 | odd | 12 | |||
819.2.fm.g.370.1 | 32 | 21.20 | even | 2 | |||
819.2.fm.g.370.2 | 32 | 3.2 | odd | 2 | |||
819.2.fm.g.622.1 | 32 | 39.11 | even | 12 | |||
819.2.fm.g.622.2 | 32 | 273.167 | odd | 12 |