Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(221,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.221");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.bl (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: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 221.3 | ||
Character | \(\chi\) | \(=\) | 280.221 |
Dual form | 280.2.bl.b.261.3 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(1\) | \(1\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.33035 | + | 0.479764i | −0.940698 | + | 0.339245i | ||||
\(3\) | 2.73909 | + | 1.58141i | 1.58141 | + | 0.913029i | 0.994654 | + | 0.103268i | \(0.0329300\pi\) |
0.586760 | + | 0.809761i | \(0.300403\pi\) | |||||||
\(4\) | 1.53965 | − | 1.27651i | 0.769826 | − | 0.638254i | ||||
\(5\) | 0.866025 | − | 0.500000i | 0.387298 | − | 0.223607i | ||||
\(6\) | −4.40265 | − | 0.789713i | −1.79737 | − | 0.322399i | ||||
\(7\) | −2.49644 | + | 0.876244i | −0.943564 | + | 0.331189i | ||||
\(8\) | −1.43585 | + | 2.43687i | −0.507650 | + | 0.861564i | ||||
\(9\) | 3.50174 | + | 6.06518i | 1.16725 | + | 2.02173i | ||||
\(10\) | −0.912233 | + | 1.08066i | −0.288473 | + | 0.341735i | ||||
\(11\) | −0.236804 | − | 0.136719i | −0.0713991 | − | 0.0412223i | 0.463875 | − | 0.885900i | \(-0.346459\pi\) |
−0.535275 | + | 0.844678i | \(0.679792\pi\) | |||||||
\(12\) | 6.23593 | − | 1.06164i | 1.80016 | − | 0.306469i | ||||
\(13\) | 2.65486i | 0.736327i | 0.929761 | + | 0.368163i | \(0.120013\pi\) | ||||
−0.929761 | + | 0.368163i | \(0.879987\pi\) | |||||||
\(14\) | 2.90074 | − | 2.36341i | 0.775255 | − | 0.631648i | ||||
\(15\) | 3.16283 | 0.816638 | ||||||||
\(16\) | 0.741057 | − | 3.93075i | 0.185264 | − | 0.982689i | ||||
\(17\) | −0.602241 | + | 1.04311i | −0.146065 | + | 0.252992i | −0.929770 | − | 0.368142i | \(-0.879994\pi\) |
0.783705 | + | 0.621133i | \(0.213328\pi\) | |||||||
\(18\) | −7.56839 | − | 6.38880i | −1.78389 | − | 1.50585i | ||||
\(19\) | 5.96453 | − | 3.44362i | 1.36836 | − | 0.790021i | 0.377638 | − | 0.925953i | \(-0.376736\pi\) |
0.990718 | + | 0.135932i | \(0.0434030\pi\) | |||||||
\(20\) | 0.695124 | − | 1.87531i | 0.155434 | − | 0.419333i | ||||
\(21\) | −8.22366 | − | 1.54779i | −1.79455 | − | 0.337755i | ||||
\(22\) | 0.380625 | + | 0.0682735i | 0.0811495 | + | 0.0145560i | ||||
\(23\) | −2.31265 | − | 4.00563i | −0.482221 | − | 0.835232i | 0.517571 | − | 0.855641i | \(-0.326836\pi\) |
−0.999792 | + | 0.0204090i | \(0.993503\pi\) | |||||||
\(24\) | −7.78662 | + | 4.40413i | −1.58944 | + | 0.898989i | ||||
\(25\) | 0.500000 | − | 0.866025i | 0.100000 | − | 0.173205i | ||||
\(26\) | −1.27371 | − | 3.53189i | −0.249795 | − | 0.692661i | ||||
\(27\) | 12.6623i | 2.43686i | ||||||||
\(28\) | −2.72511 | + | 4.53583i | −0.514998 | + | 0.857191i | ||||
\(29\) | 3.51766i | 0.653213i | 0.945160 | + | 0.326607i | \(0.105905\pi\) | ||||
−0.945160 | + | 0.326607i | \(0.894095\pi\) | |||||||
\(30\) | −4.20766 | + | 1.51741i | −0.768210 | + | 0.277040i | ||||
\(31\) | 4.44969 | − | 7.70709i | 0.799188 | − | 1.38424i | −0.120957 | − | 0.992658i | \(-0.538596\pi\) |
0.920145 | − | 0.391577i | \(-0.128070\pi\) | |||||||
\(32\) | 0.899973 | + | 5.58481i | 0.159094 | + | 0.987263i | ||||
\(33\) | −0.432418 | − | 0.748970i | −0.0752743 | − | 0.130379i | ||||
\(34\) | 0.300742 | − | 1.67664i | 0.0515769 | − | 0.287541i | ||||
\(35\) | −1.72386 | + | 2.00707i | −0.291385 | + | 0.339256i | ||||
\(36\) | 13.1337 | + | 4.86828i | 2.18895 | + | 0.811380i | ||||
\(37\) | 2.47951 | − | 1.43155i | 0.407629 | − | 0.235345i | −0.282141 | − | 0.959373i | \(-0.591045\pi\) |
0.689771 | + | 0.724028i | \(0.257711\pi\) | |||||||
\(38\) | −6.28277 | + | 7.44278i | −1.01920 | + | 1.20738i | ||||
\(39\) | −4.19844 | + | 7.27191i | −0.672288 | + | 1.16444i | ||||
\(40\) | −0.0250479 | + | 2.82832i | −0.00396042 | + | 0.447196i | ||||
\(41\) | −10.8498 | −1.69446 | −0.847228 | − | 0.531229i | \(-0.821730\pi\) | ||||
−0.847228 | + | 0.531229i | \(0.821730\pi\) | |||||||
\(42\) | 11.6829 | − | 1.88632i | 1.80271 | − | 0.291066i | ||||
\(43\) | 0.700753i | 0.106864i | 0.998571 | + | 0.0534319i | \(0.0170160\pi\) | ||||
−0.998571 | + | 0.0534319i | \(0.982984\pi\) | |||||||
\(44\) | −0.539119 | + | 0.0917826i | −0.0812752 | + | 0.0138368i | ||||
\(45\) | 6.06518 | + | 3.50174i | 0.904144 | + | 0.522008i | ||||
\(46\) | 4.99839 | + | 4.21935i | 0.736972 | + | 0.622110i | ||||
\(47\) | −3.32839 | − | 5.76493i | −0.485495 | − | 0.840902i | 0.514366 | − | 0.857571i | \(-0.328027\pi\) |
−0.999861 | + | 0.0166687i | \(0.994694\pi\) | |||||||
\(48\) | 8.24597 | − | 9.59477i | 1.19020 | − | 1.38489i | ||||
\(49\) | 5.46439 | − | 4.37497i | 0.780628 | − | 0.624996i | ||||
\(50\) | −0.249686 | + | 1.39200i | −0.0353109 | + | 0.196858i | ||||
\(51\) | −3.29918 | + | 1.90479i | −0.461978 | + | 0.266723i | ||||
\(52\) | 3.38895 | + | 4.08757i | 0.469963 | + | 0.566844i | ||||
\(53\) | 4.06305 | + | 2.34580i | 0.558103 | + | 0.322221i | 0.752384 | − | 0.658725i | \(-0.228904\pi\) |
−0.194281 | + | 0.980946i | \(0.562237\pi\) | |||||||
\(54\) | −6.07491 | − | 16.8452i | −0.826691 | − | 2.29235i | ||||
\(55\) | −0.273438 | −0.0368703 | ||||||||
\(56\) | 1.44922 | − | 7.34165i | 0.193660 | − | 0.981069i | ||||
\(57\) | 21.7832 | 2.88525 | ||||||||
\(58\) | −1.68765 | − | 4.67971i | −0.221599 | − | 0.614476i | ||||
\(59\) | −11.4195 | − | 6.59302i | −1.48669 | − | 0.858339i | −0.486801 | − | 0.873513i | \(-0.661836\pi\) |
−0.999885 | + | 0.0151741i | \(0.995170\pi\) | |||||||
\(60\) | 4.86965 | − | 4.03737i | 0.628669 | − | 0.521222i | ||||
\(61\) | −5.37293 | + | 3.10206i | −0.687933 | + | 0.397179i | −0.802837 | − | 0.596198i | \(-0.796677\pi\) |
0.114904 | + | 0.993377i | \(0.463344\pi\) | |||||||
\(62\) | −2.22205 | + | 12.3879i | −0.282201 | + | 1.57327i | ||||
\(63\) | −14.0564 | − | 12.0730i | −1.77095 | − | 1.52105i | ||||
\(64\) | −3.87667 | − | 6.99796i | −0.484584 | − | 0.874745i | ||||
\(65\) | 1.32743 | + | 2.29918i | 0.164648 | + | 0.285178i | ||||
\(66\) | 0.934596 | + | 0.788932i | 0.115041 | + | 0.0971108i | ||||
\(67\) | −6.90286 | − | 3.98537i | −0.843318 | − | 0.486890i | 0.0150725 | − | 0.999886i | \(-0.495202\pi\) |
−0.858391 | + | 0.512996i | \(0.828535\pi\) | |||||||
\(68\) | 0.404299 | + | 2.37480i | 0.0490285 | + | 0.287986i | ||||
\(69\) | − | 14.6290i | − | 1.76113i | ||||||
\(70\) | 1.33041 | − | 3.49714i | 0.159014 | − | 0.417989i | ||||
\(71\) | 1.52699 | 0.181220 | 0.0906099 | − | 0.995886i | \(-0.471118\pi\) | ||||
0.0906099 | + | 0.995886i | \(0.471118\pi\) | |||||||
\(72\) | −19.8080 | − | 0.175422i | −2.33440 | − | 0.0206737i | ||||
\(73\) | 4.91843 | − | 8.51898i | 0.575659 | − | 0.997071i | −0.420310 | − | 0.907380i | \(-0.638079\pi\) |
0.995970 | − | 0.0896907i | \(-0.0285879\pi\) | |||||||
\(74\) | −2.61181 | + | 3.09404i | −0.303617 | + | 0.359675i | ||||
\(75\) | 2.73909 | − | 1.58141i | 0.316283 | − | 0.182606i | ||||
\(76\) | 4.78749 | − | 12.9157i | 0.549162 | − | 1.48154i | ||||
\(77\) | 0.710965 | + | 0.133812i | 0.0810220 | + | 0.0152493i | ||||
\(78\) | 2.09658 | − | 11.6884i | 0.237391 | − | 1.32345i | ||||
\(79\) | −2.61951 | − | 4.53713i | −0.294718 | − | 0.510467i | 0.680201 | − | 0.733025i | \(-0.261892\pi\) |
−0.974919 | + | 0.222559i | \(0.928559\pi\) | |||||||
\(80\) | −1.32360 | − | 3.77466i | −0.147983 | − | 0.422020i | ||||
\(81\) | −9.51910 | + | 16.4876i | −1.05768 | + | 1.83195i | ||||
\(82\) | 14.4340 | − | 5.20536i | 1.59397 | − | 0.574835i | ||||
\(83\) | 0.725201i | 0.0796011i | 0.999208 | + | 0.0398006i | \(0.0126723\pi\) | ||||
−0.999208 | + | 0.0398006i | \(0.987328\pi\) | |||||||
\(84\) | −14.6373 | + | 8.11451i | −1.59707 | + | 0.885366i | ||||
\(85\) | 1.20448i | 0.130645i | ||||||||
\(86\) | −0.336196 | − | 0.932245i | −0.0362530 | − | 0.100527i | ||||
\(87\) | −5.56287 | + | 9.63518i | −0.596403 | + | 1.03300i | ||||
\(88\) | 0.673181 | − | 0.380753i | 0.0717614 | − | 0.0405884i | ||||
\(89\) | 3.54714 | + | 6.14383i | 0.375996 | + | 0.651245i | 0.990476 | − | 0.137688i | \(-0.0439672\pi\) |
−0.614479 | + | 0.788933i | \(0.710634\pi\) | |||||||
\(90\) | −9.74881 | − | 1.74867i | −1.02762 | − | 0.184326i | ||||
\(91\) | −2.32631 | − | 6.62770i | −0.243863 | − | 0.694772i | ||||
\(92\) | −8.67390 | − | 3.21516i | −0.904316 | − | 0.335204i | ||||
\(93\) | 24.3762 | − | 14.0736i | 2.52769 | − | 1.45937i | ||||
\(94\) | 7.19372 | + | 6.07253i | 0.741976 | + | 0.626333i | ||||
\(95\) | 3.44362 | − | 5.96453i | 0.353308 | − | 0.611948i | ||||
\(96\) | −6.36678 | + | 16.7205i | −0.649807 | + | 1.70653i | ||||
\(97\) | 5.59119 | 0.567699 | 0.283850 | − | 0.958869i | \(-0.408388\pi\) | ||||
0.283850 | + | 0.958869i | \(0.408388\pi\) | |||||||
\(98\) | −5.17059 | + | 8.44186i | −0.522308 | + | 0.852757i | ||||
\(99\) | − | 1.91501i | − | 0.192466i | ||||||
\(100\) | −0.335662 | − | 1.97163i | −0.0335662 | − | 0.197163i | ||||
\(101\) | 4.77971 | + | 2.75957i | 0.475599 | + | 0.274587i | 0.718580 | − | 0.695444i | \(-0.244792\pi\) |
−0.242982 | + | 0.970031i | \(0.578126\pi\) | |||||||
\(102\) | 3.47522 | − | 4.11686i | 0.344098 | − | 0.407630i | ||||
\(103\) | 9.62558 | + | 16.6720i | 0.948437 | + | 1.64274i | 0.748719 | + | 0.662888i | \(0.230669\pi\) |
0.199718 | + | 0.979853i | \(0.435997\pi\) | |||||||
\(104\) | −6.46956 | − | 3.81199i | −0.634392 | − | 0.373796i | ||||
\(105\) | −7.89580 | + | 2.77141i | −0.770551 | + | 0.270462i | ||||
\(106\) | −6.53070 | − | 1.17143i | −0.634318 | − | 0.113779i | ||||
\(107\) | 10.3964 | − | 6.00238i | 1.00506 | − | 0.580272i | 0.0953192 | − | 0.995447i | \(-0.469613\pi\) |
0.909742 | + | 0.415174i | \(0.136279\pi\) | |||||||
\(108\) | 16.1635 | + | 19.4955i | 1.55533 | + | 1.87596i | ||||
\(109\) | 5.55573 | + | 3.20760i | 0.532143 | + | 0.307233i | 0.741889 | − | 0.670523i | \(-0.233930\pi\) |
−0.209746 | + | 0.977756i | \(0.567264\pi\) | |||||||
\(110\) | 0.363767 | − | 0.131186i | 0.0346839 | − | 0.0125081i | ||||
\(111\) | 9.05547 | 0.859507 | ||||||||
\(112\) | 1.59430 | + | 10.4622i | 0.150647 | + | 0.988588i | ||||
\(113\) | −7.44228 | −0.700110 | −0.350055 | − | 0.936729i | \(-0.613837\pi\) | ||||
−0.350055 | + | 0.936729i | \(0.613837\pi\) | |||||||
\(114\) | −28.9792 | + | 10.4508i | −2.71415 | + | 0.978805i | ||||
\(115\) | −4.00563 | − | 2.31265i | −0.373527 | − | 0.215656i | ||||
\(116\) | 4.49032 | + | 5.41597i | 0.416916 | + | 0.502860i | ||||
\(117\) | −16.1022 | + | 9.29663i | −1.48865 | + | 0.859474i | ||||
\(118\) | 18.3549 | + | 3.29237i | 1.68971 | + | 0.303087i | ||||
\(119\) | 0.589437 | − | 3.13178i | 0.0540336 | − | 0.287089i | ||||
\(120\) | −4.54135 | + | 7.70740i | −0.414566 | + | 0.703586i | ||||
\(121\) | −5.46262 | − | 9.46153i | −0.496601 | − | 0.860139i | ||||
\(122\) | 5.65961 | − | 6.70457i | 0.512397 | − | 0.607003i | ||||
\(123\) | −29.7186 | − | 17.1580i | −2.67964 | − | 1.54709i | ||||
\(124\) | −2.98718 | − | 17.5463i | −0.268257 | − | 1.57571i | ||||
\(125\) | − | 1.00000i | − | 0.0894427i | ||||||
\(126\) | 24.4921 | + | 9.31748i | 2.18193 | + | 0.830067i | ||||
\(127\) | −3.99978 | −0.354923 | −0.177462 | − | 0.984128i | \(-0.556789\pi\) | ||||
−0.177462 | + | 0.984128i | \(0.556789\pi\) | |||||||
\(128\) | 8.51469 | + | 7.44983i | 0.752599 | + | 0.658479i | ||||
\(129\) | −1.10818 | + | 1.91942i | −0.0975698 | + | 0.168996i | ||||
\(130\) | −2.86901 | − | 2.42185i | −0.251629 | − | 0.212411i | ||||
\(131\) | 5.54146 | − | 3.19936i | 0.484159 | − | 0.279530i | −0.237989 | − | 0.971268i | \(-0.576488\pi\) |
0.722148 | + | 0.691738i | \(0.243155\pi\) | |||||||
\(132\) | −1.62184 | − | 0.601168i | −0.141163 | − | 0.0523250i | ||||
\(133\) | −11.8726 | + | 13.8232i | −1.02949 | + | 1.19862i | ||||
\(134\) | 11.0952 | + | 1.99018i | 0.958483 | + | 0.171925i | ||||
\(135\) | 6.33114 | + | 10.9659i | 0.544898 | + | 0.943791i | ||||
\(136\) | −1.67720 | − | 2.96534i | −0.143819 | − | 0.254276i | ||||
\(137\) | −3.03793 | + | 5.26185i | −0.259548 | + | 0.449551i | −0.966121 | − | 0.258090i | \(-0.916907\pi\) |
0.706573 | + | 0.707640i | \(0.250240\pi\) | |||||||
\(138\) | 7.01849 | + | 19.4617i | 0.597453 | + | 1.65669i | ||||
\(139\) | 18.7724i | 1.59226i | 0.605128 | + | 0.796128i | \(0.293122\pi\) | ||||
−0.605128 | + | 0.796128i | \(0.706878\pi\) | |||||||
\(140\) | −0.0921012 | + | 5.29070i | −0.00778397 | + | 0.447146i | ||||
\(141\) | − | 21.0542i | − | 1.77308i | ||||||
\(142\) | −2.03142 | + | 0.732594i | −0.170473 | + | 0.0614779i | ||||
\(143\) | 0.362970 | − | 0.628683i | 0.0303531 | − | 0.0525731i | ||||
\(144\) | 26.4357 | − | 9.26982i | 2.20298 | − | 0.772485i | ||||
\(145\) | 1.75883 | + | 3.04638i | 0.146063 | + | 0.252988i | ||||
\(146\) | −2.45613 | + | 13.6929i | −0.203271 | + | 1.13323i | ||||
\(147\) | 21.8861 | − | 3.34198i | 1.80513 | − | 0.275641i | ||||
\(148\) | 1.99021 | − | 5.36920i | 0.163594 | − | 0.441346i | ||||
\(149\) | 0.260521 | − | 0.150412i | 0.0213427 | − | 0.0123222i | −0.489291 | − | 0.872121i | \(-0.662744\pi\) |
0.510633 | + | 0.859799i | \(0.329411\pi\) | |||||||
\(150\) | −2.88523 | + | 3.41795i | −0.235578 | + | 0.279074i | ||||
\(151\) | 2.19288 | − | 3.79818i | 0.178454 | − | 0.309091i | −0.762897 | − | 0.646520i | \(-0.776224\pi\) |
0.941351 | + | 0.337429i | \(0.109557\pi\) | |||||||
\(152\) | −0.172511 | + | 19.4793i | −0.0139925 | + | 1.57998i | ||||
\(153\) | −8.43556 | −0.681975 | ||||||||
\(154\) | −1.01003 | + | 0.163079i | −0.0813905 | + | 0.0131413i | ||||
\(155\) | − | 8.89939i | − | 0.714816i | ||||||
\(156\) | 2.81851 | + | 16.5555i | 0.225661 | + | 1.32550i | ||||
\(157\) | −9.33636 | − | 5.39035i | −0.745122 | − | 0.430197i | 0.0788064 | − | 0.996890i | \(-0.474889\pi\) |
−0.823929 | + | 0.566693i | \(0.808222\pi\) | |||||||
\(158\) | 5.66162 | + | 4.77921i | 0.450414 | + | 0.380214i | ||||
\(159\) | 7.41937 | + | 12.8507i | 0.588394 | + | 1.01913i | ||||
\(160\) | 3.57180 | + | 4.38660i | 0.282376 | + | 0.346791i | ||||
\(161\) | 9.28330 | + | 7.97336i | 0.731626 | + | 0.628388i | ||||
\(162\) | 4.75357 | − | 26.5011i | 0.373475 | − | 2.08212i | ||||
\(163\) | −16.4067 | + | 9.47240i | −1.28507 | + | 0.741935i | −0.977771 | − | 0.209677i | \(-0.932759\pi\) |
−0.307299 | + | 0.951613i | \(0.599425\pi\) | |||||||
\(164\) | −16.7049 | + | 13.8499i | −1.30444 | + | 1.08149i | ||||
\(165\) | −0.748970 | − | 0.432418i | −0.0583072 | − | 0.0336637i | ||||
\(166\) | −0.347926 | − | 0.964770i | −0.0270043 | − | 0.0748806i | ||||
\(167\) | −17.6708 | −1.36741 | −0.683703 | − | 0.729760i | \(-0.739632\pi\) | ||||
−0.683703 | + | 0.729760i | \(0.739632\pi\) | |||||||
\(168\) | 15.5797 | − | 17.8176i | 1.20200 | − | 1.37466i | ||||
\(169\) | 5.95170 | 0.457823 | ||||||||
\(170\) | −0.577868 | − | 1.60238i | −0.0443205 | − | 0.122897i | ||||
\(171\) | 41.7724 | + | 24.1173i | 3.19441 | + | 1.84430i | ||||
\(172\) | 0.894517 | + | 1.07892i | 0.0682062 | + | 0.0822666i | ||||
\(173\) | −4.70687 | + | 2.71751i | −0.357856 | + | 0.206608i | −0.668140 | − | 0.744036i | \(-0.732909\pi\) |
0.310284 | + | 0.950644i | \(0.399576\pi\) | |||||||
\(174\) | 2.77794 | − | 15.4870i | 0.210595 | − | 1.17407i | ||||
\(175\) | −0.489369 | + | 2.60010i | −0.0369928 | + | 0.196549i | ||||
\(176\) | −0.712894 | + | 0.829502i | −0.0537364 | + | 0.0625261i | ||||
\(177\) | −20.8526 | − | 36.1177i | −1.56738 | − | 2.71478i | ||||
\(178\) | −7.66653 | − | 6.47164i | −0.574630 | − | 0.485070i | ||||
\(179\) | 10.0187 | + | 5.78428i | 0.748830 | + | 0.432337i | 0.825271 | − | 0.564737i | \(-0.191022\pi\) |
−0.0764410 | + | 0.997074i | \(0.524356\pi\) | |||||||
\(180\) | 13.8083 | − | 2.35080i | 1.02921 | − | 0.175218i | ||||
\(181\) | 16.9301i | 1.25841i | 0.777241 | + | 0.629203i | \(0.216619\pi\) | ||||
−0.777241 | + | 0.629203i | \(0.783381\pi\) | |||||||
\(182\) | 6.27453 | + | 7.70107i | 0.465099 | + | 0.570841i | ||||
\(183\) | −19.6226 | −1.45054 | ||||||||
\(184\) | 13.0818 | + | 0.115854i | 0.964404 | + | 0.00854088i | ||||
\(185\) | 1.43155 | − | 2.47951i | 0.105249 | − | 0.182297i | ||||
\(186\) | −25.6768 | + | 30.4176i | −1.88272 | + | 2.23033i | ||||
\(187\) | 0.285226 | − | 0.164676i | 0.0208578 | − | 0.0120423i | ||||
\(188\) | −12.4835 | − | 4.62728i | −0.910456 | − | 0.337479i | ||||
\(189\) | −11.0952 | − | 31.6106i | −0.807060 | − | 2.29933i | ||||
\(190\) | −1.71965 | + | 9.58702i | −0.124756 | + | 0.695516i | ||||
\(191\) | −2.27447 | − | 3.93950i | −0.164575 | − | 0.285052i | 0.771929 | − | 0.635708i | \(-0.219292\pi\) |
−0.936504 | + | 0.350656i | \(0.885959\pi\) | |||||||
\(192\) | 0.448131 | − | 25.2986i | 0.0323411 | − | 1.82577i | ||||
\(193\) | −1.14273 | + | 1.97926i | −0.0822552 | + | 0.142470i | −0.904218 | − | 0.427071i | \(-0.859546\pi\) |
0.821963 | + | 0.569541i | \(0.192879\pi\) | |||||||
\(194\) | −7.43823 | + | 2.68245i | −0.534034 | + | 0.192589i | ||||
\(195\) | 8.39687i | 0.601313i | ||||||||
\(196\) | 2.82858 | − | 13.7113i | 0.202041 | − | 0.979377i | ||||
\(197\) | 6.69546i | 0.477031i | 0.971139 | + | 0.238516i | \(0.0766609\pi\) | ||||
−0.971139 | + | 0.238516i | \(0.923339\pi\) | |||||||
\(198\) | 0.918755 | + | 2.54763i | 0.0652931 | + | 0.181052i | ||||
\(199\) | −7.77361 | + | 13.4643i | −0.551057 | + | 0.954458i | 0.447142 | + | 0.894463i | \(0.352442\pi\) |
−0.998199 | + | 0.0599952i | \(0.980891\pi\) | |||||||
\(200\) | 1.39247 | + | 2.46192i | 0.0984622 | + | 0.174084i | ||||
\(201\) | −12.6050 | − | 21.8325i | −0.889090 | − | 1.53995i | ||||
\(202\) | −7.68262 | − | 1.37805i | −0.540547 | − | 0.0969592i | ||||
\(203\) | −3.08233 | − | 8.78162i | −0.216337 | − | 0.616349i | ||||
\(204\) | −2.64812 | + | 7.14414i | −0.185406 | + | 0.500190i | ||||
\(205\) | −9.39621 | + | 5.42491i | −0.656260 | + | 0.378892i | ||||
\(206\) | −20.8040 | − | 17.5616i | −1.44948 | − | 1.22357i | ||||
\(207\) | 16.1966 | − | 28.0533i | 1.12574 | − | 1.94984i | ||||
\(208\) | 10.4356 | + | 1.96741i | 0.723580 | + | 0.136415i | ||||
\(209\) | −1.88323 | −0.130266 | ||||||||
\(210\) | 9.17454 | − | 7.47506i | 0.633103 | − | 0.515828i | ||||
\(211\) | − | 20.4793i | − | 1.40985i | −0.709280 | − | 0.704926i | \(-0.750980\pi\) | ||
0.709280 | − | 0.704926i | \(-0.249020\pi\) | |||||||
\(212\) | 9.25012 | − | 1.57479i | 0.635301 | − | 0.108157i | ||||
\(213\) | 4.18255 | + | 2.41480i | 0.286583 | + | 0.165459i | ||||
\(214\) | −10.9511 | + | 12.9731i | −0.748605 | + | 0.886823i | ||||
\(215\) | 0.350377 | + | 0.606870i | 0.0238955 | + | 0.0413882i | ||||
\(216\) | −30.8563 | − | 18.1811i | −2.09951 | − | 1.23707i | ||||
\(217\) | −4.35508 | + | 23.1393i | −0.295642 | + | 1.57080i | ||||
\(218\) | −8.92996 | − | 1.60179i | −0.604813 | − | 0.108487i | ||||
\(219\) | 26.9441 | − | 15.5562i | 1.82071 | − | 1.05119i | ||||
\(220\) | −0.420999 | + | 0.349045i | −0.0283837 | + | 0.0235326i | ||||
\(221\) | −2.76932 | − | 1.59887i | −0.186285 | − | 0.107552i | ||||
\(222\) | −12.0469 | + | 4.34449i | −0.808537 | + | 0.291583i | ||||
\(223\) | 10.1899 | 0.682366 | 0.341183 | − | 0.939997i | \(-0.389172\pi\) | ||||
0.341183 | + | 0.939997i | \(0.389172\pi\) | |||||||
\(224\) | −7.14038 | − | 13.1535i | −0.477086 | − | 0.878856i | ||||
\(225\) | 7.00347 | 0.466898 | ||||||||
\(226\) | 9.90082 | − | 3.57054i | 0.658593 | − | 0.237509i | ||||
\(227\) | −6.26336 | − | 3.61615i | −0.415714 | − | 0.240012i | 0.277528 | − | 0.960718i | \(-0.410485\pi\) |
−0.693242 | + | 0.720705i | \(0.743818\pi\) | |||||||
\(228\) | 33.5385 | − | 27.8064i | 2.22114 | − | 1.84152i | ||||
\(229\) | −11.1208 | + | 6.42061i | −0.734885 | + | 0.424286i | −0.820207 | − | 0.572068i | \(-0.806142\pi\) |
0.0853218 | + | 0.996353i | \(0.472808\pi\) | |||||||
\(230\) | 6.43841 | + | 1.15487i | 0.424536 | + | 0.0761500i | ||||
\(231\) | 1.73578 | + | 1.49085i | 0.114206 | + | 0.0980909i | ||||
\(232\) | −8.57208 | − | 5.05083i | −0.562785 | − | 0.331603i | ||||
\(233\) | −3.96177 | − | 6.86199i | −0.259544 | − | 0.449544i | 0.706576 | − | 0.707638i | \(-0.250239\pi\) |
−0.966120 | + | 0.258094i | \(0.916906\pi\) | |||||||
\(234\) | 16.9614 | − | 20.0930i | 1.10880 | − | 1.31352i | ||||
\(235\) | −5.76493 | − | 3.32839i | −0.376063 | − | 0.217120i | ||||
\(236\) | −25.9980 | + | 4.42605i | −1.69233 | + | 0.288112i | ||||
\(237\) | − | 16.5701i | − | 1.07635i | ||||||
\(238\) | 0.718359 | + | 4.44914i | 0.0465643 | + | 0.288395i | ||||
\(239\) | 12.8639 | 0.832097 | 0.416048 | − | 0.909342i | \(-0.363415\pi\) | ||||
0.416048 | + | 0.909342i | \(0.363415\pi\) | |||||||
\(240\) | 2.34383 | − | 12.4323i | 0.151294 | − | 0.802501i | ||||
\(241\) | 2.90947 | − | 5.03934i | 0.187415 | − | 0.324613i | −0.756973 | − | 0.653447i | \(-0.773322\pi\) |
0.944388 | + | 0.328834i | \(0.106656\pi\) | |||||||
\(242\) | 11.8065 | + | 9.96636i | 0.758950 | + | 0.640662i | ||||
\(243\) | −19.2497 | + | 11.1138i | −1.23487 | + | 0.712952i | ||||
\(244\) | −4.31264 | + | 11.6347i | −0.276088 | + | 0.744834i | ||||
\(245\) | 2.54482 | − | 6.52104i | 0.162582 | − | 0.416614i | ||||
\(246\) | 47.7679 | + | 8.56824i | 3.04557 | + | 0.546291i | ||||
\(247\) | 9.14235 | + | 15.8350i | 0.581713 | + | 1.00756i | ||||
\(248\) | 12.3921 | + | 21.9096i | 0.786899 | + | 1.39126i | ||||
\(249\) | −1.14684 | + | 1.98639i | −0.0726782 | + | 0.125882i | ||||
\(250\) | 0.479764 | + | 1.33035i | 0.0303430 | + | 0.0841386i | ||||
\(251\) | 18.6797i | 1.17905i | 0.807748 | + | 0.589527i | \(0.200686\pi\) | ||||
−0.807748 | + | 0.589527i | \(0.799314\pi\) | |||||||
\(252\) | −37.0533 | − | 0.645028i | −2.33414 | − | 0.0406329i | ||||
\(253\) | 1.26473i | 0.0795130i | ||||||||
\(254\) | 5.32110 | − | 1.91895i | 0.333876 | − | 0.120406i | ||||
\(255\) | −1.90479 | + | 3.29918i | −0.119282 | + | 0.206603i | ||||
\(256\) | −14.9017 | − | 5.82583i | −0.931354 | − | 0.364114i | ||||
\(257\) | 0.578668 | + | 1.00228i | 0.0360963 | + | 0.0625207i | 0.883509 | − | 0.468414i | \(-0.155174\pi\) |
−0.847413 | + | 0.530935i | \(0.821841\pi\) | |||||||
\(258\) | 0.553394 | − | 3.08517i | 0.0344528 | − | 0.192074i | ||||
\(259\) | −4.93556 | + | 5.74642i | −0.306681 | + | 0.357065i | ||||
\(260\) | 4.97870 | + | 1.84546i | 0.308766 | + | 0.114451i | ||||
\(261\) | −21.3353 | + | 12.3179i | −1.32062 | + | 0.762460i | ||||
\(262\) | −5.83713 | + | 6.91486i | −0.360619 | + | 0.427201i | ||||
\(263\) | 4.55621 | − | 7.89159i | 0.280948 | − | 0.486616i | −0.690671 | − | 0.723170i | \(-0.742684\pi\) |
0.971618 | + | 0.236553i | \(0.0760178\pi\) | |||||||
\(264\) | 2.44603 | + | 0.0216623i | 0.150543 | + | 0.00133323i | ||||
\(265\) | 4.69161 | 0.288203 | ||||||||
\(266\) | 9.16285 | − | 24.0857i | 0.561810 | − | 1.47679i | ||||
\(267\) | 22.4380i | 1.37318i | ||||||||
\(268\) | −15.7153 | + | 2.67547i | −0.959968 | + | 0.163430i | ||||
\(269\) | 21.6334 | + | 12.4901i | 1.31901 | + | 0.761533i | 0.983570 | − | 0.180527i | \(-0.0577802\pi\) |
0.335444 | + | 0.942060i | \(0.391114\pi\) | |||||||
\(270\) | −13.6837 | − | 11.5510i | −0.832761 | − | 0.702969i | ||||
\(271\) | −1.39016 | − | 2.40783i | −0.0844461 | − | 0.146265i | 0.820709 | − | 0.571347i | \(-0.193579\pi\) |
−0.905155 | + | 0.425082i | \(0.860245\pi\) | |||||||
\(272\) | 3.65393 | + | 3.14027i | 0.221552 | + | 0.190407i | ||||
\(273\) | 4.10917 | − | 21.8327i | 0.248698 | − | 1.32138i | ||||
\(274\) | 1.51706 | − | 8.45759i | 0.0916488 | − | 0.510942i | ||||
\(275\) | −0.236804 | + | 0.136719i | −0.0142798 | + | 0.00824446i | ||||
\(276\) | −18.6741 | − | 22.5236i | −1.12405 | − | 1.35576i | ||||
\(277\) | 2.81665 | + | 1.62620i | 0.169236 | + | 0.0977086i | 0.582226 | − | 0.813027i | \(-0.302182\pi\) |
−0.412989 | + | 0.910736i | \(0.635515\pi\) | |||||||
\(278\) | −9.00634 | − | 24.9739i | −0.540165 | − | 1.49783i | ||||
\(279\) | 62.3266 | 3.73140 | ||||||||
\(280\) | −2.41576 | − | 7.08266i | −0.144370 | − | 0.423270i | ||||
\(281\) | −17.9066 | −1.06822 | −0.534109 | − | 0.845416i | \(-0.679353\pi\) | ||||
−0.534109 | + | 0.845416i | \(0.679353\pi\) | |||||||
\(282\) | 10.1011 | + | 28.0094i | 0.601510 | + | 1.66794i | ||||
\(283\) | −3.28577 | − | 1.89704i | −0.195319 | − | 0.112767i | 0.399151 | − | 0.916885i | \(-0.369305\pi\) |
−0.594470 | + | 0.804118i | \(0.702638\pi\) | |||||||
\(284\) | 2.35103 | − | 1.94921i | 0.139508 | − | 0.115664i | ||||
\(285\) | 18.8648 | − | 10.8916i | 1.11745 | − | 0.645161i | ||||
\(286\) | −0.181257 | + | 1.01051i | −0.0107179 | + | 0.0597525i | ||||
\(287\) | 27.0859 | − | 9.50708i | 1.59883 | − | 0.561185i | ||||
\(288\) | −30.7214 | + | 25.0150i | −1.81028 | + | 1.47402i | ||||
\(289\) | 7.77461 | + | 13.4660i | 0.457330 | + | 0.792119i | ||||
\(290\) | −3.80140 | − | 3.20893i | −0.223226 | − | 0.188435i | ||||
\(291\) | 15.3148 | + | 8.84198i | 0.897767 | + | 0.518326i | ||||
\(292\) | −3.30186 | − | 19.3947i | −0.193227 | − | 1.13499i | ||||
\(293\) | 17.1671i | 1.00292i | 0.865182 | + | 0.501458i | \(0.167203\pi\) | ||||
−0.865182 | + | 0.501458i | \(0.832797\pi\) | |||||||
\(294\) | −27.5128 | + | 14.9462i | −1.60458 | + | 0.871678i | ||||
\(295\) | −13.1860 | −0.767721 | ||||||||
\(296\) | −0.0717145 | + | 8.09774i | −0.00416832 | + | 0.470671i | ||||
\(297\) | 1.73117 | − | 2.99848i | 0.100453 | − | 0.173989i | ||||
\(298\) | −0.274421 | + | 0.325089i | −0.0158968 | + | 0.0188319i | ||||
\(299\) | 10.6344 | − | 6.13977i | 0.615003 | − | 0.355072i | ||||
\(300\) | 2.19856 | − | 5.93129i | 0.126934 | − | 0.342443i | ||||
\(301\) | −0.614030 | − | 1.74939i | −0.0353921 | − | 0.100833i | ||||
\(302\) | −1.09506 | + | 6.10496i | −0.0630137 | + | 0.351301i | ||||
\(303\) | 8.72803 | + | 15.1174i | 0.501412 | + | 0.868471i | ||||
\(304\) | −9.11598 | − | 25.9970i | −0.522837 | − | 1.49103i | ||||
\(305\) | −3.10206 | + | 5.37293i | −0.177624 | + | 0.307653i | ||||
\(306\) | 11.2222 | − | 4.04708i | 0.641532 | − | 0.231356i | ||||
\(307\) | − | 5.61084i | − | 0.320228i | −0.987099 | − | 0.160114i | \(-0.948814\pi\) | ||
0.987099 | − | 0.160114i | \(-0.0511861\pi\) | |||||||
\(308\) | 1.26545 | − | 0.701529i | 0.0721058 | − | 0.0399733i | ||||
\(309\) | 60.8881i | 3.46380i | ||||||||
\(310\) | 4.26961 | + | 11.8393i | 0.242498 | + | 0.672426i | ||||
\(311\) | −11.0480 | + | 19.1357i | −0.626475 | + | 1.08509i | 0.361778 | + | 0.932264i | \(0.382170\pi\) |
−0.988254 | + | 0.152823i | \(0.951164\pi\) | |||||||
\(312\) | −11.6924 | − | 20.6724i | −0.661950 | − | 1.17034i | ||||
\(313\) | −0.223117 | − | 0.386451i | −0.0126113 | − | 0.0218435i | 0.859651 | − | 0.510882i | \(-0.170681\pi\) |
−0.872262 | + | 0.489038i | \(0.837348\pi\) | |||||||
\(314\) | 15.0067 | + | 2.69179i | 0.846877 | + | 0.151906i | ||||
\(315\) | −18.2097 | − | 3.42728i | −1.02600 | − | 0.193105i | ||||
\(316\) | −9.82481 | − | 3.64177i | −0.552689 | − | 0.204866i | ||||
\(317\) | 19.5478 | − | 11.2859i | 1.09791 | − | 0.633881i | 0.162242 | − | 0.986751i | \(-0.448127\pi\) |
0.935672 | + | 0.352870i | \(0.114794\pi\) | |||||||
\(318\) | −16.0357 | − | 13.5364i | −0.899235 | − | 0.759083i | ||||
\(319\) | 0.480931 | − | 0.832996i | 0.0269269 | − | 0.0466388i | ||||
\(320\) | −6.85627 | − | 4.12208i | −0.383277 | − | 0.230431i | ||||
\(321\) | 37.9690 | 2.11922 | ||||||||
\(322\) | −16.1753 | − | 6.15354i | −0.901417 | − | 0.342924i | ||||
\(323\) | 8.29556i | 0.461578i | ||||||||
\(324\) | 6.39040 | + | 37.5363i | 0.355022 | + | 2.08535i | ||||
\(325\) | 2.29918 | + | 1.32743i | 0.127536 | + | 0.0736327i | ||||
\(326\) | 17.2821 | − | 20.4729i | 0.957165 | − | 1.13389i | ||||
\(327\) | 10.1451 | + | 17.5718i | 0.561025 | + | 0.971724i | ||||
\(328\) | 15.5787 | − | 26.4396i | 0.860190 | − | 1.45988i | ||||
\(329\) | 13.3606 | + | 11.4753i | 0.736593 | + | 0.632655i | ||||
\(330\) | 1.20385 | + | 0.215937i | 0.0662698 | + | 0.0118870i | ||||
\(331\) | −1.32609 | + | 0.765620i | −0.0728887 | + | 0.0420823i | −0.536001 | − | 0.844217i | \(-0.680066\pi\) |
0.463113 | + | 0.886299i | \(0.346733\pi\) | |||||||
\(332\) | 0.925724 | + | 1.11656i | 0.0508057 | + | 0.0612790i | ||||
\(333\) | 17.3652 | + | 10.0258i | 0.951607 | + | 0.549410i | ||||
\(334\) | 23.5083 | − | 8.47782i | 1.28632 | − | 0.463885i | ||||
\(335\) | −7.97073 | −0.435488 | ||||||||
\(336\) | −12.1782 | + | 31.1782i | −0.664374 | + | 1.70091i | ||||
\(337\) | −18.4289 | −1.00389 | −0.501944 | − | 0.864900i | \(-0.667382\pi\) | ||||
−0.501944 | + | 0.864900i | \(0.667382\pi\) | |||||||
\(338\) | −7.91783 | + | 2.85541i | −0.430673 | + | 0.155314i | ||||
\(339\) | −20.3850 | − | 11.7693i | −1.10716 | − | 0.639221i | ||||
\(340\) | 1.53753 | + | 1.85448i | 0.0833843 | + | 0.100574i | ||||
\(341\) | −2.10741 | + | 1.21671i | −0.114123 | + | 0.0658888i | ||||
\(342\) | −67.1424 | − | 12.0435i | −3.63065 | − | 0.651238i | ||||
\(343\) | −9.80797 | + | 15.7100i | −0.529581 | + | 0.848260i | ||||
\(344\) | −1.70764 | − | 1.00618i | −0.0920700 | − | 0.0542494i | ||||
\(345\) | −7.31451 | − | 12.6691i | −0.393800 | − | 0.682082i | ||||
\(346\) | 4.95801 | − | 5.87342i | 0.266544 | − | 0.315757i | ||||
\(347\) | −21.2169 | − | 12.2496i | −1.13898 | − | 0.657591i | −0.192803 | − | 0.981237i | \(-0.561758\pi\) |
−0.946178 | + | 0.323646i | \(0.895091\pi\) | |||||||
\(348\) | 3.73449 | + | 21.9359i | 0.200190 | + | 1.17589i | ||||
\(349\) | 5.94545i | 0.318252i | 0.987258 | + | 0.159126i | \(0.0508677\pi\) | ||||
−0.987258 | + | 0.159126i | \(0.949132\pi\) | |||||||
\(350\) | −0.596404 | − | 3.69382i | −0.0318791 | − | 0.197443i | ||||
\(351\) | −33.6166 | −1.79432 | ||||||||
\(352\) | 0.550431 | − | 1.44555i | 0.0293381 | − | 0.0770480i | ||||
\(353\) | −4.76477 | + | 8.25282i | −0.253603 | + | 0.439253i | −0.964515 | − | 0.264028i | \(-0.914949\pi\) |
0.710912 | + | 0.703281i | \(0.248282\pi\) | |||||||
\(354\) | 45.0692 | + | 38.0448i | 2.39540 | + | 2.02206i | ||||
\(355\) | 1.32241 | − | 0.763493i | 0.0701862 | − | 0.0405220i | ||||
\(356\) | 13.3040 | + | 4.93141i | 0.705111 | + | 0.261364i | ||||
\(357\) | 6.56715 | − | 7.64607i | 0.347570 | − | 0.404673i | ||||
\(358\) | −16.1034 | − | 2.88850i | −0.851091 | − | 0.152662i | ||||
\(359\) | −18.0902 | − | 31.3332i | −0.954766 | − | 1.65370i | −0.734903 | − | 0.678173i | \(-0.762772\pi\) |
−0.219863 | − | 0.975531i | \(-0.570561\pi\) | |||||||
\(360\) | −17.2420 | + | 9.75209i | −0.908732 | + | 0.513981i | ||||
\(361\) | 14.2171 | − | 24.6247i | 0.748266 | − | 1.29603i | ||||
\(362\) | −8.12247 | − | 22.5230i | −0.426908 | − | 1.18378i | ||||
\(363\) | − | 34.5546i | − | 1.81365i | ||||||
\(364\) | −12.0420 | − | 7.23480i | −0.631173 | − | 0.379207i | ||||
\(365\) | − | 9.83687i | − | 0.514885i | ||||||
\(366\) | 26.1049 | − | 9.41421i | 1.36452 | − | 0.492089i | ||||
\(367\) | −12.1410 | + | 21.0288i | −0.633754 | + | 1.09769i | 0.353024 | + | 0.935614i | \(0.385154\pi\) |
−0.986778 | + | 0.162080i | \(0.948180\pi\) | |||||||
\(368\) | −17.4590 | + | 6.12207i | −0.910111 | + | 0.319135i | ||||
\(369\) | −37.9932 | − | 65.8061i | −1.97785 | − | 3.42573i | ||||
\(370\) | −0.714874 | + | 3.98542i | −0.0371645 | + | 0.207192i | ||||
\(371\) | −12.1986 | − | 2.29593i | −0.633322 | − | 0.119199i | ||||
\(372\) | 19.5658 | − | 52.7849i | 1.01444 | − | 2.73677i | ||||
\(373\) | 9.03928 | − | 5.21883i | 0.468036 | − | 0.270221i | −0.247381 | − | 0.968918i | \(-0.579570\pi\) |
0.715417 | + | 0.698698i | \(0.246237\pi\) | |||||||
\(374\) | −0.300445 | + | 0.355917i | −0.0155356 | + | 0.0184040i | ||||
\(375\) | 1.58141 | − | 2.73909i | 0.0816638 | − | 0.141446i | ||||
\(376\) | 18.8275 | + | 0.166738i | 0.970952 | + | 0.00859887i | ||||
\(377\) | −9.33891 | −0.480978 | ||||||||
\(378\) | 29.9262 | + | 36.7300i | 1.53924 | + | 1.88919i | ||||
\(379\) | 32.0202i | 1.64477i | 0.568934 | + | 0.822383i | \(0.307356\pi\) | ||||
−0.568934 | + | 0.822383i | \(0.692644\pi\) | |||||||
\(380\) | −2.31178 | − | 13.5791i | −0.118592 | − | 0.696593i | ||||
\(381\) | −10.9558 | − | 6.32531i | −0.561280 | − | 0.324055i | ||||
\(382\) | 4.91587 | + | 4.14969i | 0.251518 | + | 0.212317i | ||||
\(383\) | 4.02207 | + | 6.96643i | 0.205518 | + | 0.355968i | 0.950298 | − | 0.311343i | \(-0.100779\pi\) |
−0.744780 | + | 0.667311i | \(0.767445\pi\) | |||||||
\(384\) | 11.5412 | + | 33.8710i | 0.588960 | + | 1.72847i | ||||
\(385\) | 0.682620 | − | 0.239598i | 0.0347895 | − | 0.0122111i | ||||
\(386\) | 0.570645 | − | 3.18134i | 0.0290450 | − | 0.161926i | ||||
\(387\) | −4.25020 | + | 2.45385i | −0.216050 | + | 0.124736i | ||||
\(388\) | 8.60849 | − | 7.13720i | 0.437030 | − | 0.362336i | ||||
\(389\) | −17.6302 | − | 10.1788i | −0.893889 | − | 0.516087i | −0.0186765 | − | 0.999826i | \(-0.505945\pi\) |
−0.875213 | + | 0.483738i | \(0.839279\pi\) | |||||||
\(390\) | −4.02852 | − | 11.1708i | −0.203992 | − | 0.565654i | ||||
\(391\) | 5.57110 | 0.281743 | ||||||||
\(392\) | 2.81519 | + | 19.5978i | 0.142189 | + | 0.989840i | ||||
\(393\) | 20.2381 | 1.02087 | ||||||||
\(394\) | −3.21224 | − | 8.90729i | −0.161830 | − | 0.448743i | ||||
\(395\) | −4.53713 | − | 2.61951i | −0.228288 | − | 0.131802i | ||||
\(396\) | −2.44453 | − | 2.94845i | −0.122842 | − | 0.148165i | ||||
\(397\) | 5.17855 | − | 2.98984i | 0.259904 | − | 0.150056i | −0.364387 | − | 0.931248i | \(-0.618721\pi\) |
0.624291 | + | 0.781192i | \(0.285388\pi\) | |||||||
\(398\) | 3.88192 | − | 21.6417i | 0.194583 | − | 1.08480i | ||||
\(399\) | −54.3803 | + | 19.0873i | −2.72242 | + | 0.955563i | ||||
\(400\) | −3.03361 | − | 2.60715i | −0.151680 | − | 0.130358i | ||||
\(401\) | 12.7840 | + | 22.1426i | 0.638404 | + | 1.10575i | 0.985783 | + | 0.168023i | \(0.0537383\pi\) |
−0.347379 | + | 0.937725i | \(0.612928\pi\) | |||||||
\(402\) | 27.2435 | + | 22.9974i | 1.35878 | + | 1.14701i | ||||
\(403\) | 20.4613 | + | 11.8133i | 1.01925 | + | 0.588464i | ||||
\(404\) | 10.8817 | − | 1.85256i | 0.541385 | − | 0.0921684i | ||||
\(405\) | 19.0382i | 0.946015i | ||||||||
\(406\) | 8.31368 | + | 10.2038i | 0.412601 | + | 0.506407i | ||||
\(407\) | −0.782878 | −0.0388058 | ||||||||
\(408\) | 0.0954218 | − | 10.7747i | 0.00472408 | − | 0.533426i | ||||
\(409\) | −11.4188 | + | 19.7779i | −0.564622 | + | 0.977955i | 0.432462 | + | 0.901652i | \(0.357645\pi\) |
−0.997085 | + | 0.0763026i | \(0.975689\pi\) | |||||||
\(410\) | 9.89756 | − | 11.7250i | 0.488806 | − | 0.579056i | ||||
\(411\) | −16.6423 | + | 9.60845i | −0.820906 | + | 0.473950i | ||||
\(412\) | 36.1020 | + | 13.3819i | 1.77862 | + | 0.659281i | ||||
\(413\) | 34.2850 | + | 6.45284i | 1.68706 | + | 0.317524i | ||||
\(414\) | −8.08812 | + | 45.0912i | −0.397509 | + | 2.21611i | ||||
\(415\) | 0.362600 | + | 0.628042i | 0.0177994 | + | 0.0308294i | ||||
\(416\) | −14.8269 | + | 2.38931i | −0.726948 | + | 0.117145i | ||||
\(417\) | −29.6870 | + | 51.4193i | −1.45378 | + | 2.51802i | ||||
\(418\) | 2.50535 | − | 0.903508i | 0.122541 | − | 0.0441920i | ||||
\(419\) | − | 14.5529i | − | 0.710958i | −0.934684 | − | 0.355479i | \(-0.884318\pi\) | ||
0.934684 | − | 0.355479i | \(-0.115682\pi\) | |||||||
\(420\) | −8.61906 | + | 14.3460i | −0.420567 | + | 0.700015i | ||||
\(421\) | − | 37.2849i | − | 1.81715i | −0.417718 | − | 0.908577i | \(-0.637170\pi\) | ||
0.417718 | − | 0.908577i | \(-0.362830\pi\) | |||||||
\(422\) | 9.82524 | + | 27.2446i | 0.478285 | + | 1.32625i | ||||
\(423\) | 23.3103 | − | 40.3745i | 1.13338 | − | 1.96308i | ||||
\(424\) | −11.5503 | + | 6.53290i | −0.560935 | + | 0.317266i | ||||
\(425\) | 0.602241 | + | 1.04311i | 0.0292130 | + | 0.0505984i | ||||
\(426\) | −6.72278 | − | 1.20588i | −0.325720 | − | 0.0584251i | ||||
\(427\) | 10.6950 | − | 12.4521i | 0.517568 | − | 0.602599i | ||||
\(428\) | 8.34480 | − | 22.5127i | 0.403361 | − | 1.08819i | ||||
\(429\) | 1.98841 | − | 1.14801i | 0.0960015 | − | 0.0554265i | ||||
\(430\) | −0.757277 | − | 0.639250i | −0.0365192 | − | 0.0308274i | ||||
\(431\) | 3.98171 | − | 6.89653i | 0.191792 | − | 0.332194i | −0.754052 | − | 0.656815i | \(-0.771903\pi\) |
0.945844 | + | 0.324621i | \(0.105237\pi\) | |||||||
\(432\) | 49.7723 | + | 9.38347i | 2.39467 | + | 0.451463i | ||||
\(433\) | −21.6823 | −1.04198 | −0.520991 | − | 0.853562i | \(-0.674438\pi\) | ||||
−0.520991 | + | 0.853562i | \(0.674438\pi\) | |||||||
\(434\) | −5.30763 | − | 32.8727i | −0.254774 | − | 1.57794i | ||||
\(435\) | 11.1257i | 0.533439i | ||||||||
\(436\) | 12.6484 | − | 2.15334i | 0.605750 | − | 0.103126i | ||||
\(437\) | −27.5877 | − | 15.9278i | −1.31970 | − | 0.761930i | ||||
\(438\) | −28.3817 | + | 33.6219i | −1.35613 | + | 1.60652i | ||||
\(439\) | −7.47786 | − | 12.9520i | −0.356899 | − | 0.618167i | 0.630542 | − | 0.776155i | \(-0.282833\pi\) |
−0.987441 | + | 0.157988i | \(0.949499\pi\) | |||||||
\(440\) | 0.392616 | − | 0.666332i | 0.0187172 | − | 0.0317661i | ||||
\(441\) | 45.6699 | + | 17.8225i | 2.17476 | + | 0.848693i | ||||
\(442\) | 4.45124 | + | 0.798430i | 0.211724 | + | 0.0379774i | ||||
\(443\) | 22.3316 | − | 12.8932i | 1.06101 | − | 0.612573i | 0.135297 | − | 0.990805i | \(-0.456801\pi\) |
0.925711 | + | 0.378232i | \(0.123468\pi\) | |||||||
\(444\) | 13.9423 | − | 11.5594i | 0.661671 | − | 0.548584i | ||||
\(445\) | 6.14383 | + | 3.54714i | 0.291245 | + | 0.168151i | ||||
\(446\) | −13.5561 | + | 4.88875i | −0.641900 | + | 0.231489i | ||||
\(447\) | 0.951453 | 0.0450022 | ||||||||
\(448\) | 15.8098 | + | 14.0731i | 0.746942 | + | 0.664890i | ||||
\(449\) | 20.7866 | 0.980981 | 0.490491 | − | 0.871446i | \(-0.336818\pi\) | ||||
0.490491 | + | 0.871446i | \(0.336818\pi\) | |||||||
\(450\) | −9.31705 | + | 3.36002i | −0.439210 | + | 0.158393i | ||||
\(451\) | 2.56928 | + | 1.48337i | 0.120983 | + | 0.0698494i | ||||
\(452\) | −11.4585 | + | 9.50012i | −0.538963 | + | 0.446848i | ||||
\(453\) | 12.0130 | − | 6.93569i | 0.564419 | − | 0.325867i | ||||
\(454\) | 10.0673 | + | 1.80580i | 0.472484 | + | 0.0847505i | ||||
\(455\) | −5.32849 | − | 4.57660i | −0.249804 | − | 0.214554i | ||||
\(456\) | −31.2773 | + | 53.0827i | −1.46470 | + | 2.48583i | ||||
\(457\) | −14.9487 | − | 25.8919i | −0.699271 | − | 1.21117i | −0.968720 | − | 0.248158i | \(-0.920175\pi\) |
0.269449 | − | 0.963015i | \(-0.413158\pi\) | |||||||
\(458\) | 11.7142 | − | 13.8770i | 0.547368 | − | 0.648431i | ||||
\(459\) | −13.2082 | − | 7.62575i | −0.616505 | − | 0.355940i | ||||
\(460\) | −9.11939 | + | 1.55254i | −0.425194 | + | 0.0723875i | ||||
\(461\) | 7.45183i | 0.347066i | 0.984828 | + | 0.173533i | \(0.0555184\pi\) | ||||
−0.984828 | + | 0.173533i | \(0.944482\pi\) | |||||||
\(462\) | −3.02446 | − | 1.15059i | −0.140710 | − | 0.0535301i | ||||
\(463\) | 23.5785 | 1.09578 | 0.547892 | − | 0.836549i | \(-0.315430\pi\) | ||||
0.547892 | + | 0.836549i | \(0.315430\pi\) | |||||||
\(464\) | 13.8271 | + | 2.60679i | 0.641905 | + | 0.121017i | ||||
\(465\) | 14.0736 | − | 24.3762i | 0.652648 | − | 1.13042i | ||||
\(466\) | 8.56267 | + | 7.22812i | 0.396658 | + | 0.334836i | ||||
\(467\) | 9.13230 | − | 5.27253i | 0.422592 | − | 0.243984i | −0.273594 | − | 0.961845i | \(-0.588212\pi\) |
0.696186 | + | 0.717862i | \(0.254879\pi\) | |||||||
\(468\) | −12.9246 | + | 34.8682i | −0.597441 | + | 1.61178i | ||||
\(469\) | 20.7247 | + | 3.90063i | 0.956978 | + | 0.180114i | ||||
\(470\) | 9.26621 | + | 1.66210i | 0.427418 | + | 0.0766670i | ||||
\(471\) | −17.0487 | − | 29.5293i | −0.785564 | − | 1.36064i | ||||
\(472\) | 32.4630 | − | 18.3611i | 1.49423 | − | 0.845139i | ||||
\(473\) | 0.0958062 | − | 0.165941i | 0.00440517 | − | 0.00762998i | ||||
\(474\) | 7.94976 | + | 22.0440i | 0.365144 | + | 1.01252i | ||||
\(475\) | − | 6.88724i | − | 0.316008i | ||||||
\(476\) | −3.09021 | − | 5.57426i | −0.141639 | − | 0.255496i | ||||
\(477\) | 32.8575i | 1.50444i | ||||||||
\(478\) | −17.1135 | + | 6.17165i | −0.782752 | + | 0.282284i | ||||
\(479\) | 11.3831 | − | 19.7161i | 0.520108 | − | 0.900854i | −0.479619 | − | 0.877477i | \(-0.659225\pi\) |
0.999727 | − | 0.0233766i | \(-0.00744168\pi\) | |||||||
\(480\) | 2.84646 | + | 17.6638i | 0.129922 | + | 0.806237i | ||||
\(481\) | 3.80056 | + | 6.58277i | 0.173291 | + | 0.300148i | ||||
\(482\) | −1.45290 | + | 8.09994i | −0.0661780 | + | 0.368942i | ||||
\(483\) | 12.8186 | + | 36.5204i | 0.583266 | + | 1.66174i | ||||
\(484\) | −20.4882 | − | 7.59439i | −0.931284 | − | 0.345200i | ||||
\(485\) | 4.84211 | − | 2.79560i | 0.219869 | − | 0.126941i | ||||
\(486\) | 20.2768 | − | 24.0206i | 0.919774 | − | 1.08960i | ||||
\(487\) | 6.73215 | − | 11.6604i | 0.305063 | − | 0.528384i | −0.672212 | − | 0.740358i | \(-0.734656\pi\) |
0.977275 | + | 0.211974i | \(0.0679892\pi\) | |||||||
\(488\) | 0.155400 | − | 17.5472i | 0.00703465 | − | 0.794326i | ||||
\(489\) | −59.9191 | −2.70964 | ||||||||
\(490\) | −0.256931 | + | 9.89616i | −0.0116069 | + | 0.447063i | ||||
\(491\) | 19.5324i | 0.881485i | 0.897634 | + | 0.440743i | \(0.145285\pi\) | ||||
−0.897634 | + | 0.440743i | \(0.854715\pi\) | |||||||
\(492\) | −67.6587 | + | 11.5186i | −3.05029 | + | 0.519299i | ||||
\(493\) | −3.66932 | − | 2.11848i | −0.165258 | − | 0.0954116i | ||||
\(494\) | −19.7596 | − | 16.6799i | −0.889025 | − | 0.750464i | ||||
\(495\) | −0.957507 | − | 1.65845i | −0.0430367 | − | 0.0745418i | ||||
\(496\) | −26.9972 | − | 23.2021i | −1.21221 | − | 1.04180i | ||||
\(497\) | −3.81202 | + | 1.33801i | −0.170993 | + | 0.0600180i | ||||
\(498\) | 0.572700 | − | 3.19280i | 0.0256633 | − | 0.143073i | ||||
\(499\) | −22.1028 | + | 12.7610i | −0.989456 | + | 0.571263i | −0.905112 | − | 0.425174i | \(-0.860213\pi\) |
−0.0843444 | + | 0.996437i | \(0.526880\pi\) | |||||||
\(500\) | −1.27651 | − | 1.53965i | −0.0570872 | − | 0.0688553i | ||||
\(501\) | −48.4018 | − | 27.9448i | −2.16243 | − | 1.24848i | ||||
\(502\) | −8.96188 | − | 24.8506i | −0.399988 | − | 1.10913i | ||||
\(503\) | −0.384278 | −0.0171341 | −0.00856706 | − | 0.999963i | \(-0.502727\pi\) | ||||
−0.00856706 | + | 0.999963i | \(0.502727\pi\) | |||||||
\(504\) | 49.6032 | − | 16.9187i | 2.20950 | − | 0.753620i | ||||
\(505\) | 5.51913 | 0.245598 | ||||||||
\(506\) | −0.606774 | − | 1.68253i | −0.0269744 | − | 0.0747978i | ||||
\(507\) | 16.3022 | + | 9.41209i | 0.724007 | + | 0.418006i | ||||
\(508\) | −6.15827 | + | 5.10575i | −0.273229 | + | 0.226531i | ||||
\(509\) | 6.31154 | − | 3.64397i | 0.279754 | − | 0.161516i | −0.353558 | − | 0.935413i | \(-0.615028\pi\) |
0.633312 | + | 0.773897i | \(0.281695\pi\) | |||||||
\(510\) | 0.951196 | − | 5.30291i | 0.0421196 | − | 0.234817i | ||||
\(511\) | −4.81386 | + | 25.5768i | −0.212953 | + | 1.13145i | ||||
\(512\) | 22.6194 | + | 0.601087i | 0.999647 | + | 0.0265645i | ||||
\(513\) | 43.6041 | + | 75.5245i | 1.92517 | + | 3.33449i | ||||
\(514\) | −1.25069 | − | 1.05576i | −0.0551656 | − | 0.0465676i | ||||
\(515\) | 16.6720 | + | 9.62558i | 0.734656 | + | 0.424154i | ||||
\(516\) | 0.743948 | + | 4.36985i | 0.0327505 | + | 0.192372i | ||||
\(517\) | 1.82021i | 0.0800529i | ||||||||
\(518\) | 3.80908 | − | 10.0127i | 0.167362 | − | 0.439931i | ||||
\(519\) | −17.1900 | −0.754558 | ||||||||
\(520\) | −7.50879 | − | 0.0664988i | −0.329282 | − | 0.00291617i | ||||
\(521\) | −7.63990 | + | 13.2327i | −0.334710 | + | 0.579735i | −0.983429 | − | 0.181293i | \(-0.941972\pi\) |
0.648719 | + | 0.761028i | \(0.275305\pi\) | |||||||
\(522\) | 22.4736 | − | 26.6230i | 0.983644 | − | 1.16526i | ||||
\(523\) | −12.0928 | + | 6.98176i | −0.528780 | + | 0.305291i | −0.740519 | − | 0.672035i | \(-0.765420\pi\) |
0.211740 | + | 0.977326i | \(0.432087\pi\) | |||||||
\(524\) | 4.44791 | − | 11.9996i | 0.194308 | − | 0.524206i | ||||
\(525\) | −5.45226 | + | 6.34801i | −0.237956 | + | 0.277050i | ||||
\(526\) | −2.27524 | + | 12.6845i | −0.0992053 | + | 0.553069i | ||||
\(527\) | 5.35958 | + | 9.28306i | 0.233467 | + | 0.404377i | ||||
\(528\) | −3.26446 | + | 1.14470i | −0.142068 | + | 0.0498167i | ||||
\(529\) | 0.803287 | − | 1.39133i | 0.0349255 | − | 0.0604928i | ||||
\(530\) | −6.24147 | + | 2.25087i | −0.271112 | + | 0.0977714i | ||||
\(531\) | − | 92.3481i | − | 4.00757i | ||||||
\(532\) | −0.634323 | + | 36.4383i | −0.0275014 | + | 1.57980i | ||||
\(533\) | − | 28.8048i | − | 1.24767i | ||||||
\(534\) | −10.7650 | − | 29.8503i | −0.465845 | − | 1.29175i | ||||
\(535\) | 6.00238 | − | 10.3964i | 0.259506 | − | 0.449477i | ||||
\(536\) | 19.6233 | − | 11.0990i | 0.847597 | − | 0.479403i | ||||
\(537\) | 18.2947 | + | 31.6873i | 0.789473 | + | 1.36741i | ||||
\(538\) | −34.7723 | − | 6.23719i | −1.49914 | − | 0.268904i | ||||
\(539\) | −1.89213 | + | 0.288926i | −0.0814999 | + | 0.0124449i | ||||
\(540\) | 23.7458 | + | 8.80186i | 1.02185 | + | 0.378772i | ||||
\(541\) | −18.8517 | + | 10.8841i | −0.810499 | + | 0.467942i | −0.847129 | − | 0.531387i | \(-0.821671\pi\) |
0.0366299 | + | 0.999329i | \(0.488338\pi\) | |||||||
\(542\) | 3.00458 | + | 2.53630i | 0.129058 | + | 0.108943i | ||||
\(543\) | −26.7735 | + | 46.3731i | −1.14896 | + | 1.99006i | ||||
\(544\) | −6.36758 | − | 2.42463i | −0.273008 | − | 0.103955i | ||||
\(545\) | 6.41521 | 0.274797 | ||||||||
\(546\) | 5.00793 | + | 31.0165i | 0.214320 | + | 1.32739i | ||||
\(547\) | − | 12.4285i | − | 0.531406i | −0.964055 | − | 0.265703i | \(-0.914396\pi\) | ||
0.964055 | − | 0.265703i | \(-0.0856041\pi\) | |||||||
\(548\) | 2.03944 | + | 11.9794i | 0.0871204 | + | 0.511733i | ||||
\(549\) | −37.6292 | − | 21.7252i | −1.60597 | − | 0.927209i | ||||
\(550\) | 0.249439 | − | 0.295494i | 0.0106361 | − | 0.0125999i | ||||
\(551\) | 12.1135 | + | 20.9812i | 0.516052 | + | 0.893828i | ||||
\(552\) | 35.6490 | + | 21.0051i | 1.51732 | + | 0.894036i | ||||
\(553\) | 10.5151 | + | 9.03132i | 0.447146 | + | 0.384051i | ||||
\(554\) | −4.52732 | − | 0.812076i | −0.192347 | − | 0.0345018i | ||||
\(555\) | 7.84227 | − | 4.52773i | 0.332886 | − | 0.192192i | ||||
\(556\) | 23.9631 | + | 28.9030i | 1.01626 | + | 1.22576i | ||||
\(557\) | −26.2840 | − | 15.1751i | −1.11369 | − | 0.642988i | −0.173906 | − | 0.984762i | \(-0.555639\pi\) |
−0.939782 | + | 0.341774i | \(0.888972\pi\) | |||||||
\(558\) | −82.9161 | + | 29.9021i | −3.51012 | + | 1.26586i | ||||
\(559\) | −1.86040 | −0.0786867 | ||||||||
\(560\) | 6.61182 | + | 8.26341i | 0.279400 | + | 0.349193i | ||||
\(561\) | 1.04168 | 0.0439798 | ||||||||
\(562\) | 23.8220 | − | 8.59094i | 1.00487 | − | 0.362387i | ||||
\(563\) | 0.140134 | + | 0.0809065i | 0.00590595 | + | 0.00340980i | 0.502950 | − | 0.864315i | \(-0.332248\pi\) |
−0.497044 | + | 0.867725i | \(0.665581\pi\) | |||||||
\(564\) | −26.8759 | − | 32.4162i | −1.13168 | − | 1.36497i | ||||
\(565\) | −6.44520 | + | 3.72114i | −0.271152 | + | 0.156549i | ||||
\(566\) | 5.28136 | + | 0.947329i | 0.221992 | + | 0.0398192i | ||||
\(567\) | 9.31670 | − | 49.5012i | 0.391265 | − | 2.07885i | ||||
\(568\) | −2.19252 | + | 3.72107i | −0.0919962 | + | 0.156132i | ||||
\(569\) | 16.3191 | + | 28.2655i | 0.684132 | + | 1.18495i | 0.973709 | + | 0.227796i | \(0.0731519\pi\) |
−0.289577 | + | 0.957155i | \(0.593515\pi\) | |||||||
\(570\) | −19.8713 | + | 23.5402i | −0.832318 | + | 0.985992i | ||||
\(571\) | 35.8127 | + | 20.6765i | 1.49871 | + | 0.865283i | 0.999999 | − | 0.00148271i | \(-0.000471961\pi\) |
0.498715 | + | 0.866766i | \(0.333805\pi\) | |||||||
\(572\) | −0.243670 | − | 1.43129i | −0.0101884 | − | 0.0598451i | ||||
\(573\) | − | 14.3875i | − | 0.601047i | ||||||
\(574\) | −31.4725 | + | 25.6426i | −1.31364 | + | 1.07030i | ||||
\(575\) | −4.62530 | −0.192888 | ||||||||
\(576\) | 28.8688 | − | 48.0177i | 1.20287 | − | 2.00074i | ||||
\(577\) | 13.5534 | − | 23.4752i | 0.564236 | − | 0.977285i | −0.432884 | − | 0.901449i | \(-0.642504\pi\) |
0.997120 | − | 0.0758358i | \(-0.0241625\pi\) | |||||||
\(578\) | −16.8035 | − | 14.1845i | −0.698932 | − | 0.589998i | ||||
\(579\) | −6.26005 | + | 3.61424i | −0.260159 | + | 0.150203i | ||||
\(580\) | 6.59672 | + | 2.44521i | 0.273914 | + | 0.101532i | ||||
\(581\) | −0.635453 | − | 1.81042i | −0.0263630 | − | 0.0751088i | ||||
\(582\) | −24.6160 | − | 4.41544i | −1.02037 | − | 0.183026i | ||||
\(583\) | −0.641431 | − | 1.11099i | −0.0265654 | − | 0.0460126i | ||||
\(584\) | 13.6975 | + | 24.2176i | 0.566807 | + | 1.00213i | ||||
\(585\) | −9.29663 | + | 16.1022i | −0.384368 | + | 0.665746i | ||||
\(586\) | −8.23619 | − | 22.8383i | −0.340234 | − | 0.943441i | ||||
\(587\) | 4.86305i | 0.200719i | 0.994951 | + | 0.100360i | \(0.0319994\pi\) | ||||
−0.994951 | + | 0.100360i | \(0.968001\pi\) | |||||||
\(588\) | 29.4309 | − | 33.0832i | 1.21371 | − | 1.36433i | ||||
\(589\) | − | 61.2922i | − | 2.52550i | ||||||
\(590\) | 17.5420 | − | 6.32620i | 0.722194 | − | 0.260445i | ||||
\(591\) | −10.5883 | + | 18.3394i | −0.435544 | + | 0.754384i | ||||
\(592\) | −3.78960 | − | 10.8072i | −0.155752 | − | 0.444174i | ||||
\(593\) | −11.1668 | − | 19.3414i | −0.458564 | − | 0.794256i | 0.540322 | − | 0.841459i | \(-0.318303\pi\) |
−0.998885 | + | 0.0472030i | \(0.984969\pi\) | |||||||
\(594\) | −0.864499 | + | 4.81958i | −0.0354708 | + | 0.197750i | ||||
\(595\) | −1.05542 | − | 3.00692i | −0.0432680 | − | 0.123272i | ||||
\(596\) | 0.209110 | − | 0.564139i | 0.00856547 | − | 0.0231080i | ||||
\(597\) | −42.5852 | + | 24.5866i | −1.74290 | + | 1.00626i | ||||
\(598\) | −11.2018 | + | 13.2700i | −0.458076 | + | 0.542653i | ||||
\(599\) | 19.4521 | − | 33.6920i | 0.794790 | − | 1.37662i | −0.128183 | − | 0.991751i | \(-0.540914\pi\) |
0.922973 | − | 0.384866i | \(-0.125752\pi\) | |||||||
\(600\) | −0.0792222 | + | 8.94547i | −0.00323423 | + | 0.365197i | ||||
\(601\) | 0.338289 | 0.0137991 | 0.00689954 | − | 0.999976i | \(-0.497804\pi\) | ||||
0.00689954 | + | 0.999976i | \(0.497804\pi\) | |||||||
\(602\) | 1.65617 | + | 2.03270i | 0.0675003 | + | 0.0828467i | ||||
\(603\) | − | 55.8228i | − | 2.27328i | ||||||
\(604\) | −1.47213 | − | 8.64709i | −0.0599002 | − | 0.351845i | ||||
\(605\) | −9.46153 | − | 5.46262i | −0.384666 | − | 0.222087i | ||||
\(606\) | −18.8641 | − | 15.9240i | −0.766302 | − | 0.646868i | ||||
\(607\) | 1.32793 | + | 2.30005i | 0.0538992 | + | 0.0933562i | 0.891716 | − | 0.452595i | \(-0.149502\pi\) |
−0.837817 | + | 0.545951i | \(0.816168\pi\) | |||||||
\(608\) | 24.5999 | + | 30.2116i | 0.997656 | + | 1.22524i | ||||
\(609\) | 5.44460 | − | 28.9281i | 0.220626 | − | 1.17222i | ||||
\(610\) | 1.54908 | − | 8.63613i | 0.0627205 | − | 0.349667i | ||||
\(611\) | 15.3051 | − | 8.83641i | 0.619179 | − | 0.357483i | ||||
\(612\) | −12.9878 | + | 10.7681i | −0.525002 | + | 0.435273i | ||||
\(613\) | −8.29725 | − | 4.79042i | −0.335123 | − | 0.193483i | 0.322990 | − | 0.946402i | \(-0.395312\pi\) |
−0.658113 | + | 0.752919i | \(0.728645\pi\) | |||||||
\(614\) | 2.69188 | + | 7.46437i | 0.108635 | + | 0.301237i | ||||
\(615\) | −34.3161 | −1.38376 | ||||||||
\(616\) | −1.34692 | + | 1.54040i | −0.0542690 | + | 0.0620643i | ||||
\(617\) | −3.97286 | −0.159941 | −0.0799707 | − | 0.996797i | \(-0.525483\pi\) | ||||
−0.0799707 | + | 0.996797i | \(0.525483\pi\) | |||||||
\(618\) | −29.2119 | − | 81.0024i | −1.17508 | − | 3.25839i | ||||
\(619\) | 6.57823 | + | 3.79794i | 0.264401 | + | 0.152652i | 0.626341 | − | 0.779549i | \(-0.284552\pi\) |
−0.361939 | + | 0.932202i | \(0.617885\pi\) | |||||||
\(620\) | −11.3601 | − | 13.7020i | −0.456234 | − | 0.550284i | ||||
\(621\) | 50.7204 | − | 29.2834i | 2.03534 | − | 1.17510i | ||||
\(622\) | 5.51706 | − | 30.7576i | 0.221214 | − | 1.23327i | ||||
\(623\) | −14.2387 | − | 12.2295i | −0.570462 | − | 0.489965i | ||||
\(624\) | 25.4728 | + | 21.8919i | 1.01973 | + | 0.876378i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 0.482229 | + | 0.407070i | 0.0192737 | + | 0.0162698i | ||||
\(627\) | −5.15834 | − | 2.97817i | −0.206004 | − | 0.118937i | ||||
\(628\) | −21.2556 | + | 3.61867i | −0.848189 | + | 0.144401i | ||||
\(629\) | 3.44855i | 0.137503i | ||||||||
\(630\) | 25.8696 | − | 4.17690i | 1.03067 | − | 0.166412i | ||||
\(631\) | −35.2003 | −1.40130 | −0.700651 | − | 0.713505i | \(-0.747107\pi\) | ||||
−0.700651 | + | 0.713505i | \(0.747107\pi\) | |||||||
\(632\) | 14.8176 | + | 0.131227i | 0.589413 | + | 0.00521991i | ||||
\(633\) | 32.3862 | − | 56.0946i | 1.28724 | − | 2.22956i | ||||
\(634\) | −20.5908 | + | 24.3926i | −0.817765 | + | 0.968752i | ||||
\(635\) | −3.46391 | + | 1.99989i | −0.137461 | + | 0.0793633i | ||||
\(636\) | 27.8273 | + | 10.3148i | 1.10342 | + | 0.409007i | ||||
\(637\) | 11.6150 | + | 14.5072i | 0.460202 | + | 0.574797i | ||||
\(638\) | −0.240163 | + | 1.33891i | −0.00950815 | + | 0.0530079i | ||||
\(639\) | 5.34710 | + | 9.26145i | 0.211528 | + | 0.366377i | ||||
\(640\) | 11.0989 | + | 2.19440i | 0.438721 | + | 0.0867413i | ||||
\(641\) | −7.91815 | + | 13.7146i | −0.312748 | + | 0.541696i | −0.978956 | − | 0.204070i | \(-0.934583\pi\) |
0.666208 | + | 0.745766i | \(0.267916\pi\) | |||||||
\(642\) | −50.5120 | + | 18.2162i | −1.99355 | + | 0.718935i | ||||
\(643\) | 37.6705i | 1.48558i | 0.669524 | + | 0.742790i | \(0.266498\pi\) | ||||
−0.669524 | + | 0.742790i | \(0.733502\pi\) | |||||||
\(644\) | 24.4711 | + | 0.425996i | 0.964296 | + | 0.0167866i | ||||
\(645\) | 2.21636i | 0.0872691i | ||||||||
\(646\) | −3.97992 | − | 11.0360i | −0.156588 | − | 0.434205i | ||||
\(647\) | 18.9224 | − | 32.7745i | 0.743916 | − | 1.28850i | −0.206783 | − | 0.978387i | \(-0.566300\pi\) |
0.950699 | − | 0.310114i | \(-0.100367\pi\) | |||||||
\(648\) | −26.5100 | − | 46.8705i | −1.04141 | − | 1.84125i | ||||
\(649\) | 1.80278 | + | 3.12251i | 0.0707654 | + | 0.122569i | ||||
\(650\) | −3.69556 | − | 0.662882i | −0.144952 | − | 0.0260004i | ||||
\(651\) | −48.5217 | + | 56.4934i | −1.90172 | + | 2.21415i | ||||
\(652\) | −13.1690 | + | 35.5274i | −0.515737 | + | 1.39136i | ||||
\(653\) | 2.20680 | − | 1.27409i | 0.0863586 | − | 0.0498592i | −0.456199 | − | 0.889878i | \(-0.650789\pi\) |
0.542557 | + | 0.840019i | \(0.317456\pi\) | |||||||
\(654\) | −21.9268 | − | 18.5094i | −0.857408 | − | 0.723774i | ||||
\(655\) | 3.19936 | − | 5.54146i | 0.125009 | − | 0.216523i | ||||
\(656\) | −8.04033 | + | 42.6480i | −0.313922 | + | 1.66512i | ||||
\(657\) | 68.8922 | 2.68774 | ||||||||
\(658\) | −23.2797 | − | 8.85623i | −0.907537 | − | 0.345252i | ||||
\(659\) | 0.744257i | 0.0289921i | 0.999895 | + | 0.0144961i | \(0.00461440\pi\) | ||||
−0.999895 | + | 0.0144961i | \(0.995386\pi\) | |||||||
\(660\) | −1.70514 | + | 0.290293i | −0.0663724 | + | 0.0112996i | ||||
\(661\) | 31.8049 | + | 18.3626i | 1.23707 | + | 0.714220i | 0.968493 | − | 0.249039i | \(-0.0801147\pi\) |
0.268573 | + | 0.963259i | \(0.413448\pi\) | |||||||
\(662\) | 1.39685 | − | 1.65475i | 0.0542901 | − | 0.0643139i | ||||
\(663\) | −5.05695 | − | 8.75889i | −0.196395 | − | 0.340167i | ||||
\(664\) | −1.76722 | − | 1.04128i | −0.0685814 | − | 0.0404095i | ||||
\(665\) | −3.37040 | + | 17.9075i | −0.130699 | + | 0.694424i | ||||
\(666\) | −27.9118 | − | 5.00660i | −1.08156 | − | 0.194002i | ||||
\(667\) | 14.0904 | − | 8.13512i | 0.545584 | − | 0.314993i | ||||
\(668\) | −27.2069 | + | 22.5569i | −1.05267 | + | 0.872752i | ||||
\(669\) | 27.9110 | + | 16.1144i | 1.07910 | + | 0.623020i | ||||
\(670\) | 10.6038 | − | 3.82407i | 0.409662 | − | 0.147737i | ||||
\(671\) | 1.69644 | 0.0654904 | ||||||||
\(672\) | 1.24303 | − | 47.3205i | 0.0479509 | − | 1.82543i | ||||
\(673\) | 16.2841 | 0.627705 | 0.313853 | − | 0.949472i | \(-0.398380\pi\) | ||||
0.313853 | + | 0.949472i | \(0.398380\pi\) | |||||||
\(674\) | 24.5169 | − | 8.84155i | 0.944355 | − | 0.340564i | ||||
\(675\) | 10.9659 | + | 6.33114i | 0.422076 | + | 0.243686i | ||||
\(676\) | 9.16354 | − | 7.59739i | 0.352444 | − | 0.292207i | ||||
\(677\) | −9.38022 | + | 5.41567i | −0.360511 | + | 0.208141i | −0.669305 | − | 0.742988i | \(-0.733408\pi\) |
0.308794 | + | 0.951129i | \(0.400075\pi\) | |||||||
\(678\) | 32.7657 | + | 5.87726i | 1.25836 | + | 0.225715i | ||||
\(679\) | −13.9581 | + | 4.89925i | −0.535661 | + | 0.188016i | ||||
\(680\) | −2.93517 | − | 1.72946i | −0.112559 | − | 0.0663216i | ||||
\(681\) | −11.4373 | − | 19.8099i | −0.438277 | − | 0.759117i | ||||
\(682\) | 2.21985 | − | 2.62971i | 0.0850026 | − | 0.100697i | ||||
\(683\) | −7.94155 | − | 4.58506i | −0.303875 | − | 0.175442i | 0.340307 | − | 0.940314i | \(-0.389469\pi\) |
−0.644182 | + | 0.764872i | \(0.722802\pi\) | |||||||
\(684\) | 95.1009 | − | 16.1905i | 3.63627 | − | 0.619060i | ||||
\(685\) | 6.07587i | 0.232147i | ||||||||
\(686\) | 5.51092 | − | 25.6053i | 0.210408 | − | 0.977614i | ||||
\(687\) | −40.6146 | −1.54954 | ||||||||
\(688\) | 2.75449 | + | 0.519298i | 0.105014 | + | 0.0197981i | ||||
\(689\) | −6.22779 | + | 10.7868i | −0.237260 | + | 0.410946i | ||||
\(690\) | 15.8090 | + | 13.3451i | 0.601840 | + | 0.508039i | ||||
\(691\) | −13.6591 | + | 7.88611i | −0.519618 | + | 0.300002i | −0.736778 | − | 0.676134i | \(-0.763654\pi\) |
0.217160 | + | 0.976136i | \(0.430321\pi\) | |||||||
\(692\) | −3.77801 | + | 10.1924i | −0.143619 | + | 0.387456i | ||||
\(693\) | 1.67802 | + | 4.78071i | 0.0637427 | + | 0.181604i | ||||
\(694\) | 34.1027 | + | 6.11708i | 1.29452 | + | 0.232201i | ||||
\(695\) | 9.38621 | + | 16.2574i | 0.356039 | + | 0.616678i | ||||
\(696\) | −15.4922 | − | 27.3907i | −0.587231 | − | 1.03824i | ||||
\(697\) | 6.53421 | − | 11.3176i | 0.247501 | − | 0.428684i | ||||
\(698\) | −2.85241 | − | 7.90951i | −0.107965 | − | 0.299379i | ||||
\(699\) | − | 25.0608i | − | 0.947886i | ||||||
\(700\) | 2.56559 | + | 4.62793i | 0.0969701 | + | 0.174919i | ||||
\(701\) | 12.1707i | 0.459679i | 0.973229 | + | 0.229840i | \(0.0738202\pi\) | ||||
−0.973229 | + | 0.229840i | \(0.926180\pi\) | |||||||
\(702\) | 44.7218 | − | 16.1281i | 1.68792 | − | 0.608715i | ||||
\(703\) | 9.85941 | − | 17.0770i | 0.371855 | − | 0.644071i | ||||
\(704\) | −0.0387425 | + | 2.18716i | −0.00146016 | + | 0.0824317i | ||||
\(705\) | −10.5271 | − | 18.2335i | −0.396474 | − | 0.686713i | ||||
\(706\) | 2.37939 | − | 13.2651i | 0.0895495 | − | 0.499238i | ||||
\(707\) | −14.3503 | − | 2.70089i | −0.539698 | − | 0.101578i | ||||
\(708\) | −78.2103 | − | 28.9903i | −2.93932 | − | 1.08952i | ||||
\(709\) | −5.42693 | + | 3.13324i | −0.203813 | + | 0.117671i | −0.598433 | − | 0.801173i | \(-0.704210\pi\) |
0.394620 | + | 0.918844i | \(0.370876\pi\) | |||||||
\(710\) | −1.39297 | + | 1.65016i | −0.0522771 | + | 0.0619292i | ||||
\(711\) | 18.3457 | − | 31.7756i | 0.688017 | − | 1.19168i | ||||
\(712\) | −20.0649 | − | 0.177697i | −0.751963 | − | 0.00665948i | ||||
\(713\) | −41.1624 | −1.54154 | ||||||||
\(714\) | −5.06828 | + | 13.3226i | −0.189676 | + | 0.498586i | ||||
\(715\) | − | 0.725940i | − | 0.0271486i | ||||||
\(716\) | 22.8089 | − | 3.88312i | 0.852410 | − | 0.145119i | ||||
\(717\) | 35.2354 | + | 20.3432i | 1.31589 | + | 0.759729i | ||||
\(718\) | 39.0989 | + | 33.0050i | 1.45916 | + | 1.23174i | ||||
\(719\) | −5.16229 | − | 8.94135i | −0.192521 | − | 0.333456i | 0.753564 | − | 0.657374i | \(-0.228333\pi\) |
−0.946085 | + | 0.323918i | \(0.895000\pi\) | |||||||
\(720\) | 18.2591 | − | 21.2458i | 0.680477 | − | 0.791783i | ||||
\(721\) | −38.6384 | − | 33.1862i | −1.43897 | − | 1.23592i | ||||
\(722\) | −7.09959 | + | 39.5802i | −0.264219 | + | 1.47302i | ||||
\(723\) | 15.9386 | − | 9.20213i | 0.592762 | − | 0.342231i | ||||
\(724\) | 21.6114 | + | 26.0665i | 0.803182 | + | 0.968754i | ||||
\(725\) | 3.04638 | + | 1.75883i | 0.113140 | + | 0.0653213i | ||||
\(726\) | 16.5781 | + | 45.9697i | 0.615270 | + | 1.70609i | ||||
\(727\) | −45.1357 | −1.67399 | −0.836995 | − | 0.547211i | \(-0.815690\pi\) | ||||
−0.836995 | + | 0.547211i | \(0.815690\pi\) | |||||||
\(728\) | 19.4911 | + | 3.84748i | 0.722387 | + | 0.142597i | ||||
\(729\) | −13.1876 | −0.488430 | ||||||||
\(730\) | 4.71938 | + | 13.0865i | 0.174672 | + | 0.484352i | ||||
\(731\) | −0.730964 | − | 0.422023i | −0.0270357 | − | 0.0156091i | ||||
\(732\) | −30.2119 | + | 25.0484i | −1.11667 | + | 0.925814i | ||||
\(733\) | −30.5960 | + | 17.6646i | −1.13009 | + | 0.652456i | −0.943957 | − | 0.330069i | \(-0.892928\pi\) |
−0.186130 | + | 0.982525i | \(0.559595\pi\) | |||||||
\(734\) | 6.06286 | − | 33.8004i | 0.223784 | − | 1.24760i | ||||
\(735\) | 17.2829 | − | 13.8373i | 0.637490 | − | 0.510396i | ||||
\(736\) | 20.2893 | − | 16.5207i | 0.747875 | − | 0.608960i | ||||
\(737\) | 1.08975 | + | 1.88750i | 0.0401414 | + | 0.0695270i | ||||
\(738\) | 82.1156 | + | 69.3173i | 3.02272 | + | 2.55160i | ||||
\(739\) | 23.9480 | + | 13.8264i | 0.880941 | + | 0.508612i | 0.870969 | − | 0.491339i | \(-0.163492\pi\) |
0.00997273 | + | 0.999950i | \(0.496826\pi\) | |||||||
\(740\) | −0.961032 | − | 5.64497i | −0.0353282 | − | 0.207513i | ||||
\(741\) | 57.8313i | 2.12449i | ||||||||
\(742\) | 17.3299 | − | 2.79809i | 0.636202 | − | 0.102721i | ||||
\(743\) | 46.9888 | 1.72385 | 0.861927 | − | 0.507033i | \(-0.169258\pi\) | ||||
0.861927 | + | 0.507033i | \(0.169258\pi\) | |||||||
\(744\) | −0.705029 | + | 79.6092i | −0.0258476 | + | 2.91862i | ||||
\(745\) | 0.150412 | − | 0.260521i | 0.00551067 | − | 0.00954475i | ||||
\(746\) | −9.52158 | + | 11.2796i | −0.348610 | + | 0.412975i | ||||
\(747\) | −4.39848 | + | 2.53946i | −0.160932 | + | 0.0929140i | ||||
\(748\) | 0.228940 | − | 0.617637i | 0.00837087 | − | 0.0225830i | ||||
\(749\) | −20.6945 | + | 24.0944i | −0.756160 | + | 0.880389i | ||||
\(750\) | −0.789713 | + | 4.40265i | −0.0288362 | + | 0.160762i | ||||
\(751\) | 12.6951 | + | 21.9886i | 0.463252 | + | 0.802376i | 0.999121 | − | 0.0419256i | \(-0.0133492\pi\) |
−0.535869 | + | 0.844301i | \(0.680016\pi\) | |||||||
\(752\) | −25.1271 | + | 8.81093i | −0.916290 | + | 0.321301i | ||||
\(753\) | −29.5404 | + | 51.1655i | −1.07651 | + | 1.86457i | ||||
\(754\) | 12.4240 | − | 4.48048i | 0.452455 | − | 0.163169i | ||||
\(755\) | − | 4.38576i | − | 0.159614i | ||||||
\(756\) | −57.4340 | − | 34.5061i | −2.08885 | − | 1.25498i | ||||
\(757\) | − | 14.5663i | − | 0.529421i | −0.964328 | − | 0.264710i | \(-0.914724\pi\) | ||
0.964328 | − | 0.264710i | \(-0.0852764\pi\) | |||||||
\(758\) | −15.3621 | − | 42.5980i | −0.557978 | − | 1.54723i | ||||
\(759\) | −2.00006 | + | 3.46421i | −0.0725977 | + | 0.125743i | ||||
\(760\) | 9.59025 | + | 16.9558i | 0.347875 | + | 0.615052i | ||||
\(761\) | 20.6064 | + | 35.6914i | 0.746982 | + | 1.29381i | 0.949263 | + | 0.314483i | \(0.101831\pi\) |
−0.202281 | + | 0.979327i | \(0.564835\pi\) | |||||||
\(762\) | 17.6096 | + | 3.15868i | 0.637929 | + | 0.114427i | ||||
\(763\) | −16.6802 | − | 3.13941i | −0.603863 | − | 0.113654i | ||||
\(764\) | −8.53069 | − | 3.16208i | −0.308630 | − | 0.114400i | ||||
\(765\) | −7.30541 | + | 4.21778i | −0.264128 | + | 0.152494i | ||||
\(766\) | −8.69299 | − | 7.33813i | −0.314091 | − | 0.265137i | ||||
\(767\) | 17.5036 | − | 30.3171i | 0.632018 | − | 1.09469i | ||||
\(768\) | −31.6039 | − | 39.5232i | −1.14041 | − | 1.42617i | ||||
\(769\) | 12.7467 | 0.459658 | 0.229829 | − | 0.973231i | \(-0.426183\pi\) | ||||
0.229829 | + | 0.973231i | \(0.426183\pi\) | |||||||
\(770\) | −0.793172 | + | 0.646246i | −0.0285839 | + | 0.0232891i | ||||
\(771\) | 3.66046i | 0.131828i | ||||||||
\(772\) | 0.767139 | + | 4.50607i | 0.0276099 | + | 0.162177i | ||||
\(773\) | 20.4289 | + | 11.7946i | 0.734776 | + | 0.424223i | 0.820167 | − | 0.572125i | \(-0.193881\pi\) |
−0.0853910 | + | 0.996348i | \(0.527214\pi\) | |||||||
\(774\) | 4.47697 | − | 5.30357i | 0.160921 | − | 0.190633i | ||||
\(775\) | −4.44969 | − | 7.70709i | −0.159838 | − | 0.276847i | ||||
\(776\) | −8.02811 | + | 13.6250i | −0.288192 | + | 0.489109i | ||||
\(777\) | −22.6064 | + | 7.93480i | −0.811000 | + | 0.284659i | ||||
\(778\) | 28.3378 | + | 5.08302i | 1.01596 | + | 0.182235i | ||||
\(779\) | −64.7140 | + | 37.3626i | −2.31862 | + | 1.33866i | ||||
\(780\) | 10.7187 | + | 12.9283i | 0.383790 | + | 0.462906i | ||||
\(781\) | −0.361596 | − | 0.208768i | −0.0129389 | − | 0.00747030i | ||||
\(782\) | −7.41150 | + | 2.67281i | −0.265035 | + | 0.0955797i | ||||
\(783\) | −44.5416 | −1.59179 | ||||||||
\(784\) | −13.1475 | − | 24.7213i | −0.469554 | − | 0.882904i | ||||
\(785\) | −10.7807 | −0.384780 | ||||||||
\(786\) | −26.9237 | + | 9.70950i | −0.960335 | + | 0.346326i | ||||
\(787\) | −24.2666 | − | 14.0104i | −0.865012 | − | 0.499415i | 0.000675231 | − | 1.00000i | \(-0.499785\pi\) |
−0.865688 | + | 0.500585i | \(0.833118\pi\) | |||||||
\(788\) | 8.54680 | + | 10.3087i | 0.304467 | + | 0.367231i | ||||
\(789\) | 24.9597 | − | 14.4105i | 0.888590 | − | 0.513027i | ||||
\(790\) | 7.29271 | + | 1.30811i | 0.259463 | + | 0.0465405i | ||||
\(791\) | 18.5792 | − | 6.52125i | 0.660599 | − | 0.231869i | ||||
\(792\) | 4.66664 | + | 2.74967i | 0.165822 | + | 0.0977054i | ||||
\(793\) | −8.23556 | − | 14.2644i | −0.292453 | − | 0.506544i | ||||
\(794\) | −5.45486 | + | 6.46201i | −0.193586 | + | 0.229328i | ||||
\(795\) | 12.8507 | + | 7.41937i | 0.455768 | + | 0.263138i | ||||
\(796\) | 5.21861 | + | 30.6534i | 0.184969 | + | 1.08648i | ||||
\(797\) | − | 42.5656i | − | 1.50775i | −0.657018 | − | 0.753875i | \(-0.728183\pi\) | ||
0.657018 | − | 0.753875i | \(-0.271817\pi\) | |||||||
\(798\) | 63.1872 | − | 51.4825i | 2.23680 | − | 1.82246i | ||||
\(799\) | 8.01797 | 0.283655 | ||||||||
\(800\) | 5.28657 | + | 2.01300i | 0.186908 | + | 0.0711704i | ||||
\(801\) | −24.8423 | + | 43.0281i | −0.877760 | + | 1.52032i | ||||
\(802\) | −27.6304 | − | 23.3240i | −0.975664 | − | 0.823600i | ||||
\(803\) | −2.32941 | + | 1.34489i | −0.0822031 | + | 0.0474600i | ||||
\(804\) | −47.2768 | − | 17.5241i | −1.66732 | − | 0.618028i | ||||
\(805\) | 12.0262 | + | 2.26348i | 0.423870 | + | 0.0797772i | ||||
\(806\) | −32.8883 | − | 5.89924i | −1.15844 | − | 0.207792i | ||||
\(807\) | 39.5039 | + | 68.4228i | 1.39060 | + | 2.40860i | ||||
\(808\) | −13.5876 | + | 7.68520i | −0.478012 | + | 0.270364i | ||||
\(809\) | 23.1407 | − | 40.0808i | 0.813582 | − | 1.40917i | −0.0967591 | − | 0.995308i | \(-0.530848\pi\) |
0.910341 | − | 0.413858i | \(-0.135819\pi\) | |||||||
\(810\) | −9.13385 | − | 25.3274i | −0.320931 | − | 0.889915i | ||||
\(811\) | − | 12.9825i | − | 0.455876i | −0.973676 | − | 0.227938i | \(-0.926802\pi\) | ||
0.973676 | − | 0.227938i | \(-0.0731983\pi\) | |||||||
\(812\) | −15.9555 | − | 9.58602i | −0.559929 | − | 0.336403i | ||||
\(813\) | − | 8.79366i | − | 0.308407i | ||||||
\(814\) | 1.04150 | − | 0.375597i | 0.0365046 | − | 0.0131647i | ||||
\(815\) | −9.47240 | + | 16.4067i | −0.331804 | + | 0.574701i | ||||
\(816\) | 5.04236 | + | 14.3798i | 0.176518 | + | 0.503395i | ||||
\(817\) | 2.41313 | + | 4.17966i | 0.0844247 | + | 0.146228i | ||||
\(818\) | 5.70221 | − | 31.7898i | 0.199373 | − | 1.11151i | ||||
\(819\) | 32.0521 | − | 37.3179i | 1.11999 | − | 1.30399i | ||||
\(820\) | −7.54197 | + | 20.3468i | −0.263377 | + | 0.710541i | ||||
\(821\) | 23.2869 | − | 13.4447i | 0.812718 | − | 0.469223i | −0.0351807 | − | 0.999381i | \(-0.511201\pi\) |
0.847899 | + | 0.530158i | \(0.177867\pi\) | |||||||
\(822\) | 17.5303 | − | 20.7670i | 0.611439 | − | 0.724332i | ||||
\(823\) | −7.16646 | + | 12.4127i | −0.249807 | + | 0.432679i | −0.963472 | − | 0.267808i | \(-0.913701\pi\) |
0.713665 | + | 0.700487i | \(0.247034\pi\) | |||||||
\(824\) | −54.4484 | − | 0.482202i | −1.89680 | − | 0.0167983i | ||||
\(825\) | −0.864836 | −0.0301097 | ||||||||
\(826\) | −48.7069 | + | 7.86421i | −1.69473 | + | 0.273631i | ||||
\(827\) | 50.9034i | 1.77009i | 0.465509 | + | 0.885043i | \(0.345871\pi\) | ||||
−0.465509 | + | 0.885043i | \(0.654129\pi\) | |||||||
\(828\) | −10.8732 | − | 63.8674i | −0.377868 | − | 2.21955i | ||||
\(829\) | −41.7431 | − | 24.1004i | −1.44980 | − | 0.837041i | −0.451329 | − | 0.892358i | \(-0.649050\pi\) |
−0.998469 | + | 0.0553167i | \(0.982383\pi\) | |||||||
\(830\) | −0.783697 | − | 0.661552i | −0.0272025 | − | 0.0229628i | ||||
\(831\) | 5.14337 | + | 8.90859i | 0.178422 | + | 0.309035i | ||||
\(832\) | 18.5786 | − | 10.2920i | 0.644098 | − | 0.356812i | ||||
\(833\) | 1.27271 | + | 8.33477i | 0.0440967 | + | 0.288783i | ||||
\(834\) | 14.8248 | − | 82.6484i | 0.513342 | − | 2.86188i | ||||
\(835\) | −15.3034 | + | 8.83539i | −0.529594 | + | 0.305761i | ||||
\(836\) | −2.89952 | + | 2.40396i | −0.100282 | + | 0.0831427i | ||||
\(837\) | 97.5894 | + | 56.3433i | 3.37318 | + | 1.94751i | ||||
\(838\) | 6.98199 | + | 19.3605i | 0.241189 | + | 0.668797i | ||||
\(839\) | −54.1827 | −1.87060 | −0.935298 | − | 0.353862i | \(-0.884868\pi\) | ||||
−0.935298 | + | 0.353862i | \(0.884868\pi\) | |||||||
\(840\) | 4.58362 | − | 23.2204i | 0.158150 | − | 0.801178i | ||||
\(841\) | 16.6261 | 0.573313 | ||||||||
\(842\) | 17.8880 | + | 49.6019i | 0.616460 | + | 1.70939i | ||||
\(843\) | −49.0477 | − | 28.3177i | −1.68929 | − | 0.975314i | ||||
\(844\) | −26.1420 | − | 31.5310i | −0.899844 | − | 1.08534i | ||||
\(845\) | 5.15432 | − | 2.97585i | 0.177314 | − | 0.102372i | ||||
\(846\) | −11.6405 | + | 64.8956i | −0.400208 | + | 2.23116i | ||||
\(847\) | 21.9277 | + | 18.8335i | 0.753444 | + | 0.647128i | ||||
\(848\) | 12.2317 | − | 14.2325i | 0.420039 | − | 0.488745i | ||||
\(849\) | −6.00002 | − | 10.3923i | −0.205920 | − | 0.356664i | ||||
\(850\) | −1.30164 | − | 1.09877i | −0.0446459 | − | 0.0376875i | ||||
\(851\) | −11.4685 | − | 6.62134i | −0.393135 | − | 0.226977i | ||||
\(852\) | 9.52217 | − | 1.62111i | 0.326224 | − | 0.0555383i | ||||
\(853\) | − | 0.0422448i | − | 0.00144644i | −1.00000 | 0.000723218i | \(-0.999770\pi\) | |||
1.00000 | 0.000723218i | \(-0.000230207\pi\) | ||||||||
\(854\) | −8.25402 | + | 21.6967i | −0.282447 | + | 0.742447i | ||||
\(855\) | 48.2346 | 1.64959 | ||||||||
\(856\) | −0.300694 | + | 33.9533i | −0.0102775 | + | 1.16050i | ||||
\(857\) | 20.6883 | − | 35.8332i | 0.706700 | − | 1.22404i | −0.259375 | − | 0.965777i | \(-0.583516\pi\) |
0.966075 | − | 0.258263i | \(-0.0831502\pi\) | |||||||
\(858\) | −2.09451 | + | 2.48122i | −0.0715053 | + | 0.0847076i | ||||
\(859\) | 31.7797 | − | 18.3480i | 1.08431 | − | 0.626026i | 0.152254 | − | 0.988341i | \(-0.451347\pi\) |
0.932056 | + | 0.362315i | \(0.118014\pi\) | |||||||
\(860\) | 1.31413 | + | 0.487110i | 0.0448115 | + | 0.0166103i | ||||
\(861\) | 89.2252 | + | 16.7932i | 3.04079 | + | 0.572312i | ||||
\(862\) | −1.98835 | + | 11.0851i | −0.0677236 | + | 0.377559i | ||||
\(863\) | 4.47671 | + | 7.75389i | 0.152389 | + | 0.263945i | 0.932105 | − | 0.362188i | \(-0.117970\pi\) |
−0.779716 | + | 0.626133i | \(0.784637\pi\) | |||||||
\(864\) | −70.7164 | + | 11.3957i | −2.40582 | + | 0.387690i | ||||
\(865\) | −2.71751 | + | 4.70687i | −0.0923981 | + | 0.160038i | ||||
\(866\) | 28.8449 | − | 10.4024i | 0.980191 | − | 0.353487i | ||||
\(867\) | 49.1795i | 1.67022i | ||||||||
\(868\) | 22.8322 | + | 41.1858i | 0.774974 | + | 1.39794i | ||||
\(869\) | 1.43255i | 0.0485958i | ||||||||
\(870\) | −5.33774 | − | 14.8011i | −0.180966 | − | 0.501805i | ||||
\(871\) | 10.5806 | − | 18.3261i | 0.358510 | − | 0.620958i | ||||
\(872\) | −15.7937 | + | 8.93296i | −0.534843 | + | 0.302508i | ||||
\(873\) | 19.5789 | + | 33.9116i | 0.662644 | + | 1.14773i | ||||
\(874\) | 44.3429 | + | 7.95389i | 1.49992 | + | 0.269044i | ||||
\(875\) | 0.876244 | + | 2.49644i | 0.0296224 | + | 0.0843950i | ||||
\(876\) | 21.6269 | − | 58.3454i | 0.730706 | − | 1.97131i | ||||
\(877\) | 18.6552 | − | 10.7706i | 0.629940 | − | 0.363696i | −0.150789 | − | 0.988566i | \(-0.548181\pi\) |
0.780729 | + | 0.624870i | \(0.214848\pi\) | |||||||
\(878\) | 16.1621 | + | 13.6431i | 0.545444 | + | 0.460432i | ||||
\(879\) | −27.1484 | + | 47.0223i | −0.915691 | + | 1.58602i | ||||
\(880\) | −0.202633 | + | 1.07482i | −0.00683076 | + | 0.0362321i | ||||
\(881\) | −5.82482 | −0.196243 | −0.0981215 | − | 0.995174i | \(-0.531283\pi\) | ||||
−0.0981215 | + | 0.995174i | \(0.531283\pi\) | |||||||
\(882\) | −69.3075 | − | 1.79941i | −2.33370 | − | 0.0605892i | ||||
\(883\) | 0.979016i | 0.0329465i | 0.999864 | + | 0.0164732i | \(0.00524384\pi\) | ||||
−0.999864 | + | 0.0164732i | \(0.994756\pi\) | |||||||
\(884\) | −6.30476 | + | 1.07336i | −0.212052 | + | 0.0361010i | ||||
\(885\) | −36.1177 | − | 20.8526i | −1.21408 | − | 0.700952i | ||||
\(886\) | −23.5232 | + | 27.8663i | −0.790276 | + | 0.936188i | ||||
\(887\) | −18.1254 | − | 31.3941i | −0.608591 | − | 1.05411i | −0.991473 | − | 0.130313i | \(-0.958402\pi\) |
0.382882 | − | 0.923797i | \(-0.374931\pi\) | |||||||
\(888\) | −13.0023 | + | 22.0670i | −0.436329 | + | 0.740520i | ||||
\(889\) | 9.98520 | − | 3.50478i | 0.334893 | − | 0.117547i | ||||
\(890\) | −9.87523 | − | 1.77134i | −0.331018 | − | 0.0593755i | ||||
\(891\) | 4.50832 | − | 2.60288i | 0.151034 | − | 0.0871998i | ||||
\(892\) | 15.6889 | − | 13.0075i | 0.525303 | − | 0.435522i | ||||
\(893\) | −39.7045 | − | 22.9234i | −1.32866 | − | 0.767102i | ||||
\(894\) | −1.26576 | + | 0.456474i | −0.0423335 | + | 0.0152668i | ||||
\(895\) | 11.5686 | 0.386694 | ||||||||
\(896\) | −27.7843 | − | 11.1371i | −0.928207 | − | 0.372064i | ||||
\(897\) | 38.8381 | 1.29677 | ||||||||
\(898\) | −27.6534 | + | 9.97268i | −0.922807 | + | 0.332793i | ||||
\(899\) | 27.1109 | + | 15.6525i | 0.904201 | + | 0.522040i | ||||
\(900\) | 10.7829 | − | 8.93998i | 0.359430 | − | 0.297999i | ||||
\(901\) | −4.89387 | + | 2.82548i | −0.163039 | + | 0.0941304i | ||||
\(902\) | −4.12971 | − | 0.740755i | −0.137504 | − | 0.0246644i | ||||
\(903\) | 1.08462 | − | 5.76276i | 0.0360938 | − | 0.191773i | ||||
\(904\) | 10.6860 | − | 18.1359i | 0.355411 | − | 0.603190i | ||||
\(905\) | 8.46506 | + | 14.6619i | 0.281388 | + | 0.487379i | ||||
\(906\) | −12.6539 | + | 14.9903i | −0.420399 | + | 0.498019i | ||||
\(907\) | 15.4636 | + | 8.92789i | 0.513459 | + | 0.296446i | 0.734254 | − | 0.678874i | \(-0.237532\pi\) |
−0.220795 | + | 0.975320i | \(0.570865\pi\) | |||||||
\(908\) | −14.2594 | + | 2.42761i | −0.473216 | + | 0.0805630i | ||||
\(909\) | 38.6531i | 1.28204i | ||||||||
\(910\) | 9.28444 | + | 3.53205i | 0.307776 | + | 0.117086i | ||||
\(911\) | 48.4857 | 1.60640 | 0.803201 | − | 0.595708i | \(-0.203129\pi\) | ||||
0.803201 | + | 0.595708i | \(0.203129\pi\) | |||||||
\(912\) | 16.1426 | − | 85.6242i | 0.534534 | − | 2.83530i | ||||
\(913\) | 0.0991487 | − | 0.171731i | 0.00328134 | − | 0.00568345i | ||||
\(914\) | 32.3090 | + | 27.2734i | 1.06869 | + | 0.902124i | ||||
\(915\) | −16.9936 | + | 9.81129i | −0.561793 | + | 0.324351i | ||||
\(916\) | −8.92624 | + | 24.0813i | −0.294931 | + | 0.795669i | ||||
\(917\) | −11.0305 | + | 12.8427i | −0.364258 | + | 0.424102i | ||||
\(918\) | 21.2301 | + | 3.80808i | 0.700696 | + | 0.125685i | ||||
\(919\) | −19.7204 | − | 34.1568i | −0.650517 | − | 1.12673i | −0.982998 | − | 0.183619i | \(-0.941219\pi\) |
0.332480 | − | 0.943110i | \(-0.392114\pi\) | |||||||
\(920\) | 11.3871 | − | 6.44058i | 0.375422 | − | 0.212340i | ||||
\(921\) | 8.87305 | − | 15.3686i | 0.292377 | − | 0.506412i | ||||
\(922\) | −3.57512 | − | 9.91353i | −0.117740 | − | 0.326485i | ||||
\(923\) | 4.05394i | 0.133437i | ||||||||
\(924\) | 4.57559 | + | 0.0796524i | 0.150526 | + | 0.00262037i | ||||
\(925\) | − | 2.86309i | − | 0.0941380i | ||||||
\(926\) | −31.3676 | + | 11.3121i | −1.03080 | + | 0.371739i | ||||
\(927\) | −67.4125 | + | 116.762i | −2.21412 | + | 3.83496i | ||||
\(928\) | −19.6454 | + | 3.16580i | −0.644893 | + | 0.103922i | ||||
\(929\) | 7.33401 | + | 12.7029i | 0.240621 | + | 0.416768i | 0.960891 | − | 0.276926i | \(-0.0893156\pi\) |
−0.720270 | + | 0.693693i | \(0.755982\pi\) | |||||||
\(930\) | −7.02796 | + | 39.1809i | −0.230456 | + | 1.28479i | ||||
\(931\) | 17.5268 | − | 44.9120i | 0.574417 | − | 1.47193i | ||||
\(932\) | −14.8591 | − | 5.50785i | −0.486727 | − | 0.180415i | ||||
\(933\) | −60.5230 | + | 34.9429i | −1.98143 | + | 1.14398i | ||||
\(934\) | −9.61956 | + | 11.3957i | −0.314762 | + | 0.372877i | ||||
\(935\) | 0.164676 | − | 0.285226i | 0.00538547 | − | 0.00932790i | ||||
\(936\) | 0.465722 | − | 52.5876i | 0.0152226 | − | 1.71888i | ||||
\(937\) | 16.7898 | 0.548498 | 0.274249 | − | 0.961659i | \(-0.411571\pi\) | ||||
0.274249 | + | 0.961659i | \(0.411571\pi\) | |||||||
\(938\) | −29.4424 | + | 4.75378i | −0.961330 | + | 0.155216i | ||||
\(939\) | − | 1.41136i | − | 0.0460581i | ||||||
\(940\) | −13.1247 | + | 2.23442i | −0.428081 | + | 0.0728789i | ||||
\(941\) | 9.27873 | + | 5.35708i | 0.302478 | + | 0.174636i | 0.643556 | − | 0.765399i | \(-0.277459\pi\) |
−0.341078 | + | 0.940035i | \(0.610792\pi\) | |||||||
\(942\) | 36.8479 | + | 31.1048i | 1.20057 | + | 1.01345i | ||||
\(943\) | 25.0918 | + | 43.4603i | 0.817103 | + | 1.41526i | ||||
\(944\) | −34.3780 | + | 40.0013i | −1.11891 | + | 1.30193i | ||||
\(945\) | −25.4141 | − | 21.8280i | −0.826719 | − | 0.710063i | ||||
\(946\) | −0.0478429 | + | 0.266724i | −0.00155551 | + | 0.00867194i | ||||
\(947\) | −29.4705 | + | 17.0148i | −0.957663 | + | 0.552907i | −0.895453 | − | 0.445156i | \(-0.853148\pi\) |
−0.0622097 | + | 0.998063i | \(0.519815\pi\) | |||||||
\(948\) | −21.1519 | − | 25.5122i | −0.686981 | − | 0.828598i | ||||
\(949\) | 22.6167 | + | 13.0578i | 0.734170 | + | 0.423873i | ||||
\(950\) | 3.30425 | + | 9.16243i | 0.107204 | + | 0.297268i | ||||
\(951\) | 71.3909 | 2.31501 | ||||||||
\(952\) | 6.78539 | + | 5.93314i | 0.219916 | + | 0.192294i | ||||
\(953\) | 28.8335 | 0.934009 | 0.467004 | − | 0.884255i | \(-0.345333\pi\) | ||||
0.467004 | + | 0.884255i | \(0.345333\pi\) | |||||||
\(954\) | −15.7639 | − | 43.7120i | −0.510374 | − | 1.41523i | ||||
\(955\) | −3.93950 | − | 2.27447i | −0.127479 | − | 0.0736001i | ||||
\(956\) | 19.8059 | − | 16.4209i | 0.640570 | − | 0.531089i | ||||
\(957\) | 2.63462 | − | 1.52110i | 0.0851653 | − | 0.0491702i | ||||
\(958\) | −5.68441 | + | 31.6906i | −0.183655 | + | 1.02388i | ||||
\(959\) | 2.97334 | − | 15.7979i | 0.0960142 | − | 0.510139i | ||||
\(960\) | −12.2612 | − | 22.1333i | −0.395729 | − | 0.714350i | ||||
\(961\) | −24.0995 | − | 41.7416i | −0.777405 | − | 1.34650i | ||||
\(962\) | −8.21425 | − | 6.93400i | −0.264838 | − | 0.223561i | ||||
\(963\) | 72.8111 | + | 42.0375i | 2.34631 | + | 1.35464i | ||||
\(964\) | −1.95319 | − | 11.4728i | −0.0629081 | − | 0.369514i | ||||
\(965\) | 2.28545i | 0.0735712i | ||||||||
\(966\) | −34.5744 | − | 42.4350i | −1.11241 | − | 1.36532i | ||||
\(967\) | 4.27687 | 0.137535 | 0.0687674 | − | 0.997633i | \(-0.478093\pi\) | ||||
0.0687674 | + | 0.997633i | \(0.478093\pi\) | |||||||
\(968\) | 30.9000 | + | 0.273654i | 0.993164 | + | 0.00879558i | ||||
\(969\) | −13.1187 | + | 22.7223i | −0.421434 | + | 0.729945i | ||||
\(970\) | −5.10047 | + | 6.04219i | −0.163766 | + | 0.194003i | ||||
\(971\) | 31.0191 | − | 17.9089i | 0.995449 | − | 0.574723i | 0.0885504 | − | 0.996072i | \(-0.471777\pi\) |
0.906899 | + | 0.421349i | \(0.138443\pi\) | |||||||
\(972\) | −15.4510 | + | 41.6838i | −0.495590 | + | 1.33701i | ||||
\(973\) | −16.4492 | − | 46.8642i | −0.527338 | − | 1.50240i | ||||
\(974\) | −3.36185 | + | 18.7423i | −0.107720 | + | 0.600541i | ||||
\(975\) | 4.19844 | + | 7.27191i | 0.134458 | + | 0.232887i | ||||
\(976\) | 8.21180 | + | 23.4185i | 0.262853 | + | 0.749607i | ||||
\(977\) | 9.39272 | − | 16.2687i | 0.300500 | − | 0.520481i | −0.675750 | − | 0.737131i | \(-0.736180\pi\) |
0.976249 | + | 0.216651i | \(0.0695133\pi\) | |||||||
\(978\) | 79.7133 | − | 28.7471i | 2.54895 | − | 0.919229i | ||||
\(979\) | − | 1.93985i | − | 0.0619977i | ||||||
\(980\) | −4.40602 | − | 13.2886i | −0.140745 | − | 0.424489i | ||||
\(981\) | 44.9287i | 1.43446i | ||||||||
\(982\) | −9.37096 | − | 25.9849i | −0.299039 | − | 0.829211i | ||||
\(983\) | −21.0596 | + | 36.4763i | −0.671697 | + | 1.16341i | 0.305726 | + | 0.952120i | \(0.401101\pi\) |
−0.977423 | + | 0.211294i | \(0.932232\pi\) | |||||||
\(984\) | 84.4834 | − | 47.7840i | 2.69323 | − | 1.52330i | ||||
\(985\) | 3.34773 | + | 5.79843i | 0.106667 | + | 0.184753i | ||||
\(986\) | 5.89784 | + | 1.05791i | 0.187825 | + | 0.0336907i | ||||
\(987\) | 18.4486 | + | 52.5605i | 0.587226 | + | 1.67302i | ||||
\(988\) | 34.2895 | + | 12.7101i | 1.09090 | + | 0.404363i | ||||
\(989\) | 2.80696 | − | 1.62060i | 0.0892560 | − | 0.0515320i | ||||
\(990\) | 2.06948 | + | 1.74694i | 0.0657725 | + | 0.0555213i | ||||
\(991\) | 23.9597 | − | 41.4994i | 0.761104 | − | 1.31827i | −0.181178 | − | 0.983450i | \(-0.557991\pi\) |
0.942282 | − | 0.334821i | \(-0.108676\pi\) | |||||||
\(992\) | 47.0472 | + | 17.9145i | 1.49375 | + | 0.568786i | ||||
\(993\) | −4.84305 | −0.153690 | ||||||||
\(994\) | 4.42939 | − | 3.60889i | 0.140492 | − | 0.114467i | ||||
\(995\) | 15.5472i | 0.492880i | ||||||||
\(996\) | 0.769902 | + | 4.52230i | 0.0243953 | + | 0.143295i | ||||
\(997\) | 35.8719 | + | 20.7106i | 1.13607 | + | 0.655912i | 0.945455 | − | 0.325752i | \(-0.105617\pi\) |
0.190618 | + | 0.981664i | \(0.438951\pi\) | |||||||
\(998\) | 23.2821 | − | 27.5808i | 0.736982 | − | 0.873054i | ||||
\(999\) | 18.1267 | + | 31.3963i | 0.573502 | + | 0.993335i |
(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 | 280.2.bl.b.221.3 | ✓ | 60 | |
4.3 | odd | 2 | 1120.2.cb.b.81.2 | 60 | |||
7.2 | even | 3 | inner | 280.2.bl.b.261.23 | yes | 60 | |
8.3 | odd | 2 | 1120.2.cb.b.81.29 | 60 | |||
8.5 | even | 2 | inner | 280.2.bl.b.221.23 | yes | 60 | |
28.23 | odd | 6 | 1120.2.cb.b.401.29 | 60 | |||
56.37 | even | 6 | inner | 280.2.bl.b.261.3 | yes | 60 | |
56.51 | odd | 6 | 1120.2.cb.b.401.2 | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.bl.b.221.3 | ✓ | 60 | 1.1 | even | 1 | trivial | |
280.2.bl.b.221.23 | yes | 60 | 8.5 | even | 2 | inner | |
280.2.bl.b.261.3 | yes | 60 | 56.37 | even | 6 | inner | |
280.2.bl.b.261.23 | yes | 60 | 7.2 | even | 3 | inner | |
1120.2.cb.b.81.2 | 60 | 4.3 | odd | 2 | |||
1120.2.cb.b.81.29 | 60 | 8.3 | odd | 2 | |||
1120.2.cb.b.401.2 | 60 | 56.51 | odd | 6 | |||
1120.2.cb.b.401.29 | 60 | 28.23 | odd | 6 |