Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [656,2,Mod(245,656)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(656, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 1, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("656.245");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 656 = 2^{4} \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 656.o (of order \(4\), 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: | \(5.23818637260\) |
Analytic rank: | \(0\) |
Dimension: | \(164\) |
Relative dimension: | \(82\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 245.14 | ||
Character | \(\chi\) | \(=\) | 656.245 |
Dual form | 656.2.o.a.573.14 |
$q$-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 \(\left(\mathbb{Z}/656\mathbb{Z}\right)^\times\).
\(n\) | \(129\) | \(165\) | \(575\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.23625 | + | 0.686792i | −0.874162 | + | 0.485635i | ||||
\(3\) | 0.0704098 | + | 0.0704098i | 0.0406511 | + | 0.0406511i | 0.727140 | − | 0.686489i | \(-0.240849\pi\) |
−0.686489 | + | 0.727140i | \(0.740849\pi\) | |||||||
\(4\) | 1.05663 | − | 1.69809i | 0.528317 | − | 0.849047i | ||||
\(5\) | −2.73754 | − | 2.73754i | −1.22427 | − | 1.22427i | −0.966101 | − | 0.258165i | \(-0.916882\pi\) |
−0.258165 | − | 0.966101i | \(-0.583118\pi\) | |||||||
\(6\) | −0.135401 | − | 0.0386873i | −0.0552773 | − | 0.0157940i | ||||
\(7\) | 4.71049 | 1.78040 | 0.890198 | − | 0.455574i | \(-0.150566\pi\) | ||||
0.890198 | + | 0.455574i | \(0.150566\pi\) | |||||||
\(8\) | −0.140026 | + | 2.82496i | −0.0495068 | + | 0.998774i | ||||
\(9\) | − | 2.99008i | − | 0.996695i | ||||||
\(10\) | 5.26441 | + | 1.50417i | 1.66475 | + | 0.475660i | ||||
\(11\) | −1.43872 | + | 1.43872i | −0.433791 | + | 0.433791i | −0.889916 | − | 0.456125i | \(-0.849237\pi\) |
0.456125 | + | 0.889916i | \(0.349237\pi\) | |||||||
\(12\) | 0.193960 | − | 0.0451652i | 0.0559914 | − | 0.0130381i | ||||
\(13\) | −2.35845 | − | 2.35845i | −0.654117 | − | 0.654117i | 0.299865 | − | 0.953982i | \(-0.403058\pi\) |
−0.953982 | + | 0.299865i | \(0.903058\pi\) | |||||||
\(14\) | −5.82334 | + | 3.23512i | −1.55635 | + | 0.864623i | ||||
\(15\) | − | 0.385500i | − | 0.0995356i | ||||||
\(16\) | −1.76705 | − | 3.58853i | −0.441763 | − | 0.897132i | ||||
\(17\) | − | 3.04660i | − | 0.738909i | −0.929249 | − | 0.369455i | \(-0.879545\pi\) | ||
0.929249 | − | 0.369455i | \(-0.120455\pi\) | |||||||
\(18\) | 2.05357 | + | 3.69650i | 0.484030 | + | 0.871272i | ||||
\(19\) | 3.59911 | + | 3.59911i | 0.825693 | + | 0.825693i | 0.986918 | − | 0.161225i | \(-0.0515444\pi\) |
−0.161225 | + | 0.986918i | \(0.551544\pi\) | |||||||
\(20\) | −7.54118 | + | 1.75603i | −1.68626 | + | 0.392660i | ||||
\(21\) | 0.331665 | + | 0.331665i | 0.0723751 | + | 0.0723751i | ||||
\(22\) | 0.790519 | − | 2.76672i | 0.168539 | − | 0.589868i | ||||
\(23\) | 3.02686i | 0.631143i | 0.948902 | + | 0.315572i | \(0.102196\pi\) | ||||
−0.948902 | + | 0.315572i | \(0.897804\pi\) | |||||||
\(24\) | −0.208764 | + | 0.189046i | −0.0426138 | + | 0.0385888i | ||||
\(25\) | 9.98828i | 1.99766i | ||||||||
\(26\) | 4.53541 | + | 1.29587i | 0.889466 | + | 0.254142i | ||||
\(27\) | 0.421761 | − | 0.421761i | 0.0811679 | − | 0.0811679i | ||||
\(28\) | 4.97726 | − | 7.99885i | 0.940613 | − | 1.51164i | ||||
\(29\) | −6.96246 | − | 6.96246i | −1.29290 | − | 1.29290i | −0.932988 | − | 0.359909i | \(-0.882808\pi\) |
−0.359909 | − | 0.932988i | \(-0.617192\pi\) | |||||||
\(30\) | 0.264758 | + | 0.476575i | 0.0483380 | + | 0.0870102i | ||||
\(31\) | −5.91537 | −1.06243 | −0.531215 | − | 0.847237i | \(-0.678265\pi\) | ||||
−0.531215 | + | 0.847237i | \(0.678265\pi\) | |||||||
\(32\) | 4.64909 | + | 3.22272i | 0.821851 | + | 0.569703i | ||||
\(33\) | −0.202600 | −0.0352682 | ||||||||
\(34\) | 2.09238 | + | 3.76636i | 0.358840 | + | 0.645926i | ||||
\(35\) | −12.8952 | − | 12.8952i | −2.17968 | − | 2.17968i | ||||
\(36\) | −5.07745 | − | 3.15942i | −0.846241 | − | 0.526571i | ||||
\(37\) | −1.93409 | − | 1.93409i | −0.317962 | − | 0.317962i | 0.530022 | − | 0.847984i | \(-0.322184\pi\) |
−0.847984 | + | 0.530022i | \(0.822184\pi\) | |||||||
\(38\) | −6.92125 | − | 1.97756i | −1.12277 | − | 0.320803i | ||||
\(39\) | − | 0.332117i | − | 0.0531812i | ||||||
\(40\) | 8.11677 | − | 7.35012i | 1.28337 | − | 1.16216i | ||||
\(41\) | −5.86009 | − | 2.58056i | −0.915193 | − | 0.403016i | ||||
\(42\) | −0.637805 | − | 0.182236i | −0.0984155 | − | 0.0281196i | ||||
\(43\) | −3.26637 | − | 3.26637i | −0.498116 | − | 0.498116i | 0.412735 | − | 0.910851i | \(-0.364574\pi\) |
−0.910851 | + | 0.412735i | \(0.864574\pi\) | |||||||
\(44\) | 0.922885 | + | 3.96329i | 0.139130 | + | 0.597488i | ||||
\(45\) | −8.18548 | + | 8.18548i | −1.22022 | + | 1.22022i | ||||
\(46\) | −2.07882 | − | 3.74196i | −0.306506 | − | 0.551721i | ||||
\(47\) | − | 1.15228i | − | 0.168078i | −0.996462 | − | 0.0840388i | \(-0.973218\pi\) | ||
0.996462 | − | 0.0840388i | \(-0.0267820\pi\) | |||||||
\(48\) | 0.128250 | − | 0.377085i | 0.0185113 | − | 0.0544276i | ||||
\(49\) | 15.1887 | 2.16981 | ||||||||
\(50\) | −6.85987 | − | 12.3480i | −0.970132 | − | 1.74627i | ||||
\(51\) | 0.214511 | − | 0.214511i | 0.0300375 | − | 0.0300375i | ||||
\(52\) | −6.49690 | + | 1.51286i | −0.900957 | + | 0.209795i | ||||
\(53\) | 7.39204 | − | 7.39204i | 1.01537 | − | 1.01537i | 0.0154948 | − | 0.999880i | \(-0.495068\pi\) |
0.999880 | − | 0.0154948i | \(-0.00493234\pi\) | |||||||
\(54\) | −0.231740 | + | 0.811065i | −0.0315359 | + | 0.110372i | ||||
\(55\) | 7.87713 | 1.06215 | ||||||||
\(56\) | −0.659592 | + | 13.3069i | −0.0881417 | + | 1.77821i | ||||
\(57\) | 0.506826i | 0.0671307i | ||||||||
\(58\) | 13.3891 | + | 3.82559i | 1.75808 | + | 0.502324i | ||||
\(59\) | 4.01186 | + | 4.01186i | 0.522300 | + | 0.522300i | 0.918265 | − | 0.395965i | \(-0.129590\pi\) |
−0.395965 | + | 0.918265i | \(0.629590\pi\) | |||||||
\(60\) | −0.654615 | − | 0.407332i | −0.0845105 | − | 0.0525863i | ||||
\(61\) | 0.0997161 | − | 0.0997161i | 0.0127673 | − | 0.0127673i | −0.700694 | − | 0.713462i | \(-0.747126\pi\) |
0.713462 | + | 0.700694i | \(0.247126\pi\) | |||||||
\(62\) | 7.31288 | − | 4.06263i | 0.928736 | − | 0.515954i | ||||
\(63\) | − | 14.0848i | − | 1.77451i | ||||||
\(64\) | −7.96079 | − | 0.791137i | −0.995098 | − | 0.0988922i | ||||
\(65\) | 12.9127i | 1.60163i | ||||||||
\(66\) | 0.250465 | − | 0.139144i | 0.0308301 | − | 0.0171275i | ||||
\(67\) | −8.32239 | − | 8.32239i | −1.01674 | − | 1.01674i | −0.999857 | − | 0.0168846i | \(-0.994625\pi\) |
−0.0168846 | − | 0.999857i | \(-0.505375\pi\) | |||||||
\(68\) | −5.17342 | − | 3.21914i | −0.627369 | − | 0.390378i | ||||
\(69\) | −0.213121 | + | 0.213121i | −0.0256567 | + | 0.0256567i | ||||
\(70\) | 24.7979 | + | 7.08536i | 2.96392 | + | 0.846862i | ||||
\(71\) | 8.28074 | 0.982743 | 0.491371 | − | 0.870950i | \(-0.336496\pi\) | ||||
0.491371 | + | 0.870950i | \(0.336496\pi\) | |||||||
\(72\) | 8.44687 | + | 0.418691i | 0.995473 | + | 0.0493432i | ||||
\(73\) | − | 7.24017i | − | 0.847398i | −0.905803 | − | 0.423699i | \(-0.860731\pi\) | ||
0.905803 | − | 0.423699i | \(-0.139269\pi\) | |||||||
\(74\) | 3.71933 | + | 1.06270i | 0.432364 | + | 0.123537i | ||||
\(75\) | −0.703273 | + | 0.703273i | −0.0812070 | + | 0.0812070i | ||||
\(76\) | 9.91458 | − | 2.30869i | 1.13728 | − | 0.264825i | ||||
\(77\) | −6.77708 | + | 6.77708i | −0.772320 | + | 0.772320i | ||||
\(78\) | 0.228095 | + | 0.410579i | 0.0258267 | + | 0.0464890i | ||||
\(79\) | − | 1.97655i | − | 0.222380i | −0.993799 | − | 0.111190i | \(-0.964534\pi\) | ||
0.993799 | − | 0.111190i | \(-0.0354662\pi\) | |||||||
\(80\) | −4.98637 | + | 14.6611i | −0.557493 | + | 1.63916i | ||||
\(81\) | −8.91086 | −0.990096 | ||||||||
\(82\) | 9.01686 | − | 0.834447i | 0.995745 | − | 0.0921492i | ||||
\(83\) | −6.50910 | + | 6.50910i | −0.714467 | + | 0.714467i | −0.967466 | − | 0.253000i | \(-0.918583\pi\) |
0.253000 | + | 0.967466i | \(0.418583\pi\) | |||||||
\(84\) | 0.913646 | − | 0.212750i | 0.0996869 | − | 0.0232129i | ||||
\(85\) | −8.34020 | + | 8.34020i | −0.904621 | + | 0.904621i | ||||
\(86\) | 6.28136 | + | 1.79473i | 0.677337 | + | 0.193531i | ||||
\(87\) | − | 0.980451i | − | 0.105115i | ||||||
\(88\) | −3.86287 | − | 4.26579i | −0.411784 | − | 0.454735i | ||||
\(89\) | 6.92208 | 0.733739 | 0.366869 | − | 0.930272i | \(-0.380430\pi\) | ||||
0.366869 | + | 0.930272i | \(0.380430\pi\) | |||||||
\(90\) | 4.49759 | − | 15.7410i | 0.474087 | − | 1.65925i | ||||
\(91\) | −11.1095 | − | 11.1095i | −1.16459 | − | 1.16459i | ||||
\(92\) | 5.13989 | + | 3.19828i | 0.535871 | + | 0.333444i | ||||
\(93\) | −0.416500 | − | 0.416500i | −0.0431890 | − | 0.0431890i | ||||
\(94\) | 0.791378 | + | 1.42451i | 0.0816244 | + | 0.146927i | ||||
\(95\) | − | 19.7054i | − | 2.02174i | ||||||
\(96\) | 0.100430 | + | 0.554253i | 0.0102501 | + | 0.0565682i | ||||
\(97\) | 11.9620i | 1.21456i | 0.794488 | + | 0.607280i | \(0.207739\pi\) | ||||
−0.794488 | + | 0.607280i | \(0.792261\pi\) | |||||||
\(98\) | −18.7770 | + | 10.4315i | −1.89677 | + | 1.05374i | ||||
\(99\) | 4.30190 | + | 4.30190i | 0.432357 | + | 0.432357i | ||||
\(100\) | 16.9610 | + | 10.5539i | 1.69610 | + | 1.05539i | ||||
\(101\) | 2.86158 | − | 2.86158i | 0.284738 | − | 0.284738i | −0.550257 | − | 0.834995i | \(-0.685470\pi\) |
0.834995 | + | 0.550257i | \(0.185470\pi\) | |||||||
\(102\) | −0.117865 | + | 0.412513i | −0.0116704 | + | 0.0408449i | ||||
\(103\) | − | 14.5989i | − | 1.43847i | −0.694766 | − | 0.719236i | \(-0.744492\pi\) | ||
0.694766 | − | 0.719236i | \(-0.255508\pi\) | |||||||
\(104\) | 6.99278 | − | 6.33229i | 0.685698 | − | 0.620932i | ||||
\(105\) | − | 1.81589i | − | 0.177213i | ||||||
\(106\) | −4.06162 | + | 14.2152i | −0.394500 | + | 1.38070i | ||||
\(107\) | 4.99904 | + | 4.99904i | 0.483276 | + | 0.483276i | 0.906176 | − | 0.422900i | \(-0.138988\pi\) |
−0.422900 | + | 0.906176i | \(0.638988\pi\) | |||||||
\(108\) | −0.270543 | − | 1.16184i | −0.0260330 | − | 0.111798i | ||||
\(109\) | −2.95782 | − | 2.95782i | −0.283308 | − | 0.283308i | 0.551119 | − | 0.834427i | \(-0.314201\pi\) |
−0.834427 | + | 0.551119i | \(0.814201\pi\) | |||||||
\(110\) | −9.73811 | + | 5.40995i | −0.928492 | + | 0.515818i | ||||
\(111\) | − | 0.272358i | − | 0.0258510i | ||||||
\(112\) | −8.32367 | − | 16.9037i | −0.786513 | − | 1.59725i | ||||
\(113\) | −1.29092 | −0.121440 | −0.0607200 | − | 0.998155i | \(-0.519340\pi\) | ||||
−0.0607200 | + | 0.998155i | \(0.519340\pi\) | |||||||
\(114\) | −0.348084 | − | 0.626564i | −0.0326011 | − | 0.0586831i | ||||
\(115\) | 8.28615 | − | 8.28615i | 0.772688 | − | 0.772688i | ||||
\(116\) | −19.1797 | + | 4.46615i | −1.78079 | + | 0.414671i | ||||
\(117\) | −7.05197 | + | 7.05197i | −0.651955 | + | 0.651955i | ||||
\(118\) | −7.71498 | − | 2.20435i | −0.710222 | − | 0.202927i | ||||
\(119\) | − | 14.3510i | − | 1.31555i | ||||||
\(120\) | 1.08902 | + | 0.0539801i | 0.0994136 | + | 0.00492769i | ||||
\(121\) | 6.86016i | 0.623651i | ||||||||
\(122\) | −0.0547899 | + | 0.191758i | −0.00496045 | + | 0.0173610i | ||||
\(123\) | −0.230912 | − | 0.594305i | −0.0208206 | − | 0.0535867i | ||||
\(124\) | −6.25037 | + | 10.0449i | −0.561300 | + | 0.902054i | ||||
\(125\) | 13.6556 | − | 13.6556i | 1.22140 | − | 1.22140i | ||||
\(126\) | 9.67330 | + | 17.4123i | 0.861766 | + | 1.55121i | ||||
\(127\) | −14.0232 | −1.24436 | −0.622181 | − | 0.782873i | \(-0.713753\pi\) | ||||
−0.622181 | + | 0.782873i | \(0.713753\pi\) | |||||||
\(128\) | 10.3849 | − | 4.48936i | 0.917902 | − | 0.396807i | ||||
\(129\) | − | 0.459969i | − | 0.0404980i | ||||||
\(130\) | −8.86836 | − | 15.9634i | −0.777806 | − | 1.40008i | ||||
\(131\) | −4.19074 | + | 4.19074i | −0.366147 | + | 0.366147i | −0.866070 | − | 0.499923i | \(-0.833362\pi\) |
0.499923 | + | 0.866070i | \(0.333362\pi\) | |||||||
\(132\) | −0.214074 | + | 0.344035i | −0.0186328 | + | 0.0299444i | ||||
\(133\) | 16.9536 | + | 16.9536i | 1.47006 | + | 1.47006i | ||||
\(134\) | 16.0043 | + | 4.57281i | 1.38256 | + | 0.395031i | ||||
\(135\) | −2.30918 | −0.198742 | ||||||||
\(136\) | 8.60652 | + | 0.426604i | 0.738003 | + | 0.0365810i | ||||
\(137\) | −2.36134 | −0.201743 | −0.100871 | − | 0.994899i | \(-0.532163\pi\) | ||||
−0.100871 | + | 0.994899i | \(0.532163\pi\) | |||||||
\(138\) | 0.117101 | − | 0.409840i | 0.00996830 | − | 0.0348879i | ||||
\(139\) | 9.23799 | + | 9.23799i | 0.783556 | + | 0.783556i | 0.980429 | − | 0.196873i | \(-0.0630787\pi\) |
−0.196873 | + | 0.980429i | \(0.563079\pi\) | |||||||
\(140\) | −35.5226 | + | 8.27174i | −3.00221 | + | 0.699090i | ||||
\(141\) | 0.0811320 | − | 0.0811320i | 0.00683254 | − | 0.00683254i | ||||
\(142\) | −10.2371 | + | 5.68714i | −0.859076 | + | 0.477255i | ||||
\(143\) | 6.78632 | 0.567500 | ||||||||
\(144\) | −10.7300 | + | 5.28363i | −0.894167 | + | 0.440303i | ||||
\(145\) | 38.1201i | 3.16570i | ||||||||
\(146\) | 4.97249 | + | 8.95067i | 0.411526 | + | 0.740762i | ||||
\(147\) | 1.06943 | + | 1.06943i | 0.0882053 | + | 0.0882053i | ||||
\(148\) | −5.32789 | + | 1.24064i | −0.437950 | + | 0.101980i | ||||
\(149\) | −7.98513 | + | 7.98513i | −0.654167 | + | 0.654167i | −0.953994 | − | 0.299826i | \(-0.903071\pi\) |
0.299826 | + | 0.953994i | \(0.403071\pi\) | |||||||
\(150\) | 0.386420 | − | 1.35242i | 0.0315510 | − | 0.110425i | ||||
\(151\) | 7.72919 | 0.628992 | 0.314496 | − | 0.949259i | \(-0.398164\pi\) | ||||
0.314496 | + | 0.949259i | \(0.398164\pi\) | |||||||
\(152\) | −10.6713 | + | 9.66337i | −0.865558 | + | 0.783803i | ||||
\(153\) | −9.10959 | −0.736467 | ||||||||
\(154\) | 3.72373 | − | 13.0326i | 0.300067 | − | 1.05020i | ||||
\(155\) | 16.1936 | + | 16.1936i | 1.30070 | + | 1.30070i | ||||
\(156\) | −0.563965 | − | 0.350925i | −0.0451534 | − | 0.0280965i | ||||
\(157\) | −1.61814 | − | 1.61814i | −0.129142 | − | 0.129142i | 0.639582 | − | 0.768723i | \(-0.279108\pi\) |
−0.768723 | + | 0.639582i | \(0.779108\pi\) | |||||||
\(158\) | 1.35748 | + | 2.44352i | 0.107995 | + | 0.194396i | ||||
\(159\) | 1.04094 | 0.0825523 | ||||||||
\(160\) | −3.90474 | − | 21.5494i | −0.308697 | − | 1.70363i | ||||
\(161\) | 14.2580i | 1.12369i | ||||||||
\(162\) | 11.0161 | − | 6.11991i | 0.865504 | − | 0.480825i | ||||
\(163\) | −15.6612 | + | 15.6612i | −1.22668 | + | 1.22668i | −0.261469 | + | 0.965212i | \(0.584207\pi\) |
−0.965212 | + | 0.261469i | \(0.915793\pi\) | |||||||
\(164\) | −10.5740 | + | 7.22429i | −0.825691 | + | 0.564122i | ||||
\(165\) | 0.554627 | + | 0.554627i | 0.0431777 | + | 0.0431777i | ||||
\(166\) | 3.57649 | − | 12.5173i | 0.277589 | − | 0.971530i | ||||
\(167\) | 3.04721 | 0.235800 | 0.117900 | − | 0.993025i | \(-0.462384\pi\) | ||||
0.117900 | + | 0.993025i | \(0.462384\pi\) | |||||||
\(168\) | −0.983381 | + | 0.890497i | −0.0758695 | + | 0.0687033i | ||||
\(169\) | − | 1.87540i | − | 0.144262i | ||||||
\(170\) | 4.58260 | − | 16.0386i | 0.351469 | − | 1.23010i | ||||
\(171\) | 10.7617 | − | 10.7617i | 0.822964 | − | 0.822964i | ||||
\(172\) | −8.99795 | + | 2.09525i | −0.686087 | + | 0.159761i | ||||
\(173\) | 17.0655 | − | 17.0655i | 1.29746 | − | 1.29746i | 0.367402 | − | 0.930062i | \(-0.380247\pi\) |
0.930062 | − | 0.367402i | \(-0.119753\pi\) | |||||||
\(174\) | 0.673366 | + | 1.21208i | 0.0510478 | + | 0.0918879i | ||||
\(175\) | 47.0496i | 3.55662i | ||||||||
\(176\) | 7.70519 | + | 2.62060i | 0.580801 | + | 0.197535i | ||||
\(177\) | 0.564949i | 0.0424642i | ||||||||
\(178\) | −8.55743 | + | 4.75403i | −0.641406 | + | 0.356329i | ||||
\(179\) | −11.3509 | − | 11.3509i | −0.848404 | − | 0.848404i | 0.141530 | − | 0.989934i | \(-0.454798\pi\) |
−0.989934 | + | 0.141530i | \(0.954798\pi\) | |||||||
\(180\) | 5.25067 | + | 22.5488i | 0.391362 | + | 1.68069i | ||||
\(181\) | 15.9961 | − | 15.9961i | 1.18898 | − | 1.18898i | 0.211635 | − | 0.977349i | \(-0.432121\pi\) |
0.977349 | − | 0.211635i | \(-0.0678789\pi\) | |||||||
\(182\) | 21.3640 | + | 6.10419i | 1.58360 | + | 0.452473i | ||||
\(183\) | 0.0140420 | 0.00103801 | ||||||||
\(184\) | −8.55075 | − | 0.423840i | −0.630370 | − | 0.0312459i | ||||
\(185\) | 10.5893i | 0.778540i | ||||||||
\(186\) | 0.800947 | + | 0.228850i | 0.0587283 | + | 0.0167801i | ||||
\(187\) | 4.38321 | + | 4.38321i | 0.320532 | + | 0.320532i | ||||
\(188\) | −1.95668 | − | 1.21754i | −0.142706 | − | 0.0887982i | ||||
\(189\) | 1.98670 | − | 1.98670i | 0.144511 | − | 0.144511i | ||||
\(190\) | 13.5335 | + | 24.3609i | 0.981826 | + | 1.76732i | ||||
\(191\) | 1.04934i | 0.0759279i | 0.999279 | + | 0.0379639i | \(0.0120872\pi\) | ||||
−0.999279 | + | 0.0379639i | \(0.987913\pi\) | |||||||
\(192\) | −0.504814 | − | 0.616222i | −0.0364318 | − | 0.0444720i | ||||
\(193\) | − | 17.9238i | − | 1.29018i | −0.764105 | − | 0.645092i | \(-0.776819\pi\) | ||
0.764105 | − | 0.645092i | \(-0.223181\pi\) | |||||||
\(194\) | −8.21542 | − | 14.7881i | −0.589833 | − | 1.06172i | ||||
\(195\) | −0.909183 | + | 0.909183i | −0.0651080 | + | 0.0651080i | ||||
\(196\) | 16.0489 | − | 25.7918i | 1.14635 | − | 1.84227i | ||||
\(197\) | 11.3773 | + | 11.3773i | 0.810602 | + | 0.810602i | 0.984724 | − | 0.174122i | \(-0.0557086\pi\) |
−0.174122 | + | 0.984724i | \(0.555709\pi\) | |||||||
\(198\) | −8.27274 | − | 2.36372i | −0.587918 | − | 0.167982i | ||||
\(199\) | 14.7990 | 1.04908 | 0.524538 | − | 0.851387i | \(-0.324238\pi\) | ||||
0.524538 | + | 0.851387i | \(0.324238\pi\) | |||||||
\(200\) | −28.2165 | − | 1.39862i | −1.99521 | − | 0.0988975i | ||||
\(201\) | − | 1.17196i | − | 0.0826635i | ||||||
\(202\) | −1.57232 | + | 5.50294i | −0.110628 | + | 0.387186i | ||||
\(203\) | −32.7966 | − | 32.7966i | −2.30187 | − | 2.30187i | ||||
\(204\) | −0.137600 | − | 0.590919i | −0.00963395 | − | 0.0413726i | ||||
\(205\) | 8.97787 | + | 23.1066i | 0.627041 | + | 1.61384i | ||||
\(206\) | 10.0264 | + | 18.0479i | 0.698572 | + | 1.25746i | ||||
\(207\) | 9.05056 | 0.629058 | ||||||||
\(208\) | −4.29586 | + | 12.6309i | −0.297865 | + | 0.875794i | ||||
\(209\) | −10.3562 | −0.716356 | ||||||||
\(210\) | 1.24714 | + | 2.24490i | 0.0860608 | + | 0.154913i | ||||
\(211\) | 14.9028 | + | 14.9028i | 1.02595 | + | 1.02595i | 0.999654 | + | 0.0262948i | \(0.00837085\pi\) |
0.0262948 | + | 0.999654i | \(0.491629\pi\) | |||||||
\(212\) | −4.74171 | − | 20.3631i | −0.325662 | − | 1.39854i | ||||
\(213\) | 0.583045 | + | 0.583045i | 0.0399496 | + | 0.0399496i | ||||
\(214\) | −9.61338 | − | 2.74677i | −0.657157 | − | 0.187765i | ||||
\(215\) | 17.8836i | 1.21965i | ||||||||
\(216\) | 1.13240 | + | 1.25052i | 0.0770500 | + | 0.0850868i | ||||
\(217\) | −27.8642 | −1.89155 | ||||||||
\(218\) | 5.68802 | + | 1.62520i | 0.385241 | + | 0.110073i | ||||
\(219\) | 0.509779 | − | 0.509779i | 0.0344477 | − | 0.0344477i | ||||
\(220\) | 8.32323 | − | 13.3761i | 0.561152 | − | 0.901817i | ||||
\(221\) | −7.18526 | + | 7.18526i | −0.483333 | + | 0.483333i | ||||
\(222\) | 0.187053 | + | 0.336702i | 0.0125542 | + | 0.0225980i | ||||
\(223\) | 11.2259 | 0.751743 | 0.375872 | − | 0.926672i | \(-0.377343\pi\) | ||||
0.375872 | + | 0.926672i | \(0.377343\pi\) | |||||||
\(224\) | 21.8995 | + | 15.1806i | 1.46322 | + | 1.01430i | ||||
\(225\) | 29.8658 | 1.99105 | ||||||||
\(226\) | 1.59591 | − | 0.886596i | 0.106158 | − | 0.0589755i | ||||
\(227\) | 14.8496 | + | 14.8496i | 0.985605 | + | 0.985605i | 0.999898 | − | 0.0142927i | \(-0.00454966\pi\) |
−0.0142927 | + | 0.999898i | \(0.504550\pi\) | |||||||
\(228\) | 0.860638 | + | 0.535529i | 0.0569972 | + | 0.0354663i | ||||
\(229\) | 10.5315 | − | 10.5315i | 0.695942 | − | 0.695942i | −0.267591 | − | 0.963533i | \(-0.586228\pi\) |
0.963533 | + | 0.267591i | \(0.0862276\pi\) | |||||||
\(230\) | −4.55290 | + | 15.9346i | −0.300209 | + | 1.05070i | ||||
\(231\) | −0.954346 | −0.0627914 | ||||||||
\(232\) | 20.6436 | − | 18.6937i | 1.35532 | − | 1.22730i | ||||
\(233\) | 11.6807 | 0.765229 | 0.382615 | − | 0.923908i | \(-0.375024\pi\) | ||||
0.382615 | + | 0.923908i | \(0.375024\pi\) | |||||||
\(234\) | 3.87477 | − | 13.5612i | 0.253302 | − | 0.886527i | ||||
\(235\) | −3.15442 | + | 3.15442i | −0.205772 | + | 0.205772i | ||||
\(236\) | 11.0516 | − | 2.57345i | 0.719397 | − | 0.167518i | ||||
\(237\) | 0.139169 | − | 0.139169i | 0.00903999 | − | 0.00903999i | ||||
\(238\) | 9.85613 | + | 17.7414i | 0.638878 | + | 1.15000i | ||||
\(239\) | − | 0.699588i | − | 0.0452526i | −0.999744 | − | 0.0226263i | \(-0.992797\pi\) | ||
0.999744 | − | 0.0226263i | \(-0.00720278\pi\) | |||||||
\(240\) | −1.38338 | + | 0.681198i | −0.0892966 | + | 0.0439711i | ||||
\(241\) | 2.48754 | 0.160237 | 0.0801184 | − | 0.996785i | \(-0.474470\pi\) | ||||
0.0801184 | + | 0.996785i | \(0.474470\pi\) | |||||||
\(242\) | −4.71150 | − | 8.48088i | −0.302867 | − | 0.545171i | ||||
\(243\) | −1.89270 | − | 1.89270i | −0.121416 | − | 0.121416i | ||||
\(244\) | −0.0639640 | − | 0.274691i | −0.00409488 | − | 0.0175853i | ||||
\(245\) | −41.5796 | − | 41.5796i | −2.65643 | − | 2.65643i | ||||
\(246\) | 0.693629 | + | 0.576122i | 0.0442242 | + | 0.0367322i | ||||
\(247\) | − | 16.9767i | − | 1.08020i | ||||||
\(248\) | 0.828307 | − | 16.7107i | 0.0525975 | − | 1.06113i | ||||
\(249\) | −0.916610 | −0.0580878 | ||||||||
\(250\) | −7.50320 | + | 26.2603i | −0.474544 | + | 1.66085i | ||||
\(251\) | 13.8605 | + | 13.8605i | 0.874867 | + | 0.874867i | 0.992998 | − | 0.118131i | \(-0.0376903\pi\) |
−0.118131 | + | 0.992998i | \(0.537690\pi\) | |||||||
\(252\) | −23.9172 | − | 14.8824i | −1.50664 | − | 0.937504i | ||||
\(253\) | −4.35481 | − | 4.35481i | −0.273784 | − | 0.273784i | ||||
\(254\) | 17.3363 | − | 9.63105i | 1.08777 | − | 0.604306i | ||||
\(255\) | −1.17446 | −0.0735478 | ||||||||
\(256\) | −9.75506 | + | 12.6822i | −0.609691 | + | 0.792639i | ||||
\(257\) | − | 20.6141i | − | 1.28587i | −0.765921 | − | 0.642935i | \(-0.777717\pi\) | ||
0.765921 | − | 0.642935i | \(-0.222283\pi\) | |||||||
\(258\) | 0.315903 | + | 0.568637i | 0.0196672 | + | 0.0354018i | ||||
\(259\) | −9.11049 | − | 9.11049i | −0.566099 | − | 0.566099i | ||||
\(260\) | 21.9270 | + | 13.6440i | 1.35986 | + | 0.846166i | ||||
\(261\) | −20.8183 | + | 20.8183i | −1.28862 | + | 1.28862i | ||||
\(262\) | 2.30264 | − | 8.05898i | 0.142258 | − | 0.497886i | ||||
\(263\) | −22.1646 | −1.36673 | −0.683365 | − | 0.730077i | \(-0.739484\pi\) | ||||
−0.683365 | + | 0.730077i | \(0.739484\pi\) | |||||||
\(264\) | 0.0283694 | − | 0.572338i | 0.00174602 | − | 0.0352250i | ||||
\(265\) | −40.4720 | −2.48618 | ||||||||
\(266\) | −32.6024 | − | 9.31529i | −1.99898 | − | 0.571157i | ||||
\(267\) | 0.487382 | + | 0.487382i | 0.0298273 | + | 0.0298273i | ||||
\(268\) | −22.9259 | + | 5.33849i | −1.40042 | + | 0.326100i | ||||
\(269\) | 4.19840 | − | 4.19840i | 0.255981 | − | 0.255981i | −0.567436 | − | 0.823417i | \(-0.692065\pi\) |
0.823417 | + | 0.567436i | \(0.192065\pi\) | |||||||
\(270\) | 2.85472 | − | 1.58592i | 0.173733 | − | 0.0965163i | ||||
\(271\) | 16.9969 | 1.03249 | 0.516245 | − | 0.856441i | \(-0.327329\pi\) | ||||
0.516245 | + | 0.856441i | \(0.327329\pi\) | |||||||
\(272\) | −10.9328 | + | 5.38350i | −0.662899 | + | 0.326423i | ||||
\(273\) | − | 1.56443i | − | 0.0946836i | ||||||
\(274\) | 2.91921 | − | 1.62175i | 0.176356 | − | 0.0979734i | ||||
\(275\) | −14.3704 | − | 14.3704i | −0.866565 | − | 0.866565i | ||||
\(276\) | 0.136709 | + | 0.587089i | 0.00822889 | + | 0.0353386i | ||||
\(277\) | −4.37764 | − | 4.37764i | −0.263027 | − | 0.263027i | 0.563256 | − | 0.826283i | \(-0.309549\pi\) |
−0.826283 | + | 0.563256i | \(0.809549\pi\) | |||||||
\(278\) | −17.7650 | − | 5.07590i | −1.06548 | − | 0.304432i | ||||
\(279\) | 17.6874i | 1.05892i | ||||||||
\(280\) | 38.2339 | − | 34.6226i | 2.28491 | − | 2.06910i | ||||
\(281\) | 26.9347 | 1.60679 | 0.803396 | − | 0.595446i | \(-0.203025\pi\) | ||||
0.803396 | + | 0.595446i | \(0.203025\pi\) | |||||||
\(282\) | −0.0445787 | + | 0.156020i | −0.00265462 | + | 0.00929087i | ||||
\(283\) | −9.64513 | − | 9.64513i | −0.573343 | − | 0.573343i | 0.359718 | − | 0.933061i | \(-0.382873\pi\) |
−0.933061 | + | 0.359718i | \(0.882873\pi\) | |||||||
\(284\) | 8.74970 | − | 14.0615i | 0.519199 | − | 0.834395i | ||||
\(285\) | 1.38746 | − | 1.38746i | 0.0821859 | − | 0.0821859i | ||||
\(286\) | −8.38959 | + | 4.66079i | −0.496087 | + | 0.275598i | ||||
\(287\) | −27.6039 | − | 12.1557i | −1.62941 | − | 0.717528i | ||||
\(288\) | 9.63622 | − | 13.9012i | 0.567820 | − | 0.819135i | ||||
\(289\) | 7.71823 | 0.454013 | ||||||||
\(290\) | −26.1805 | − | 47.1260i | −1.53737 | − | 2.76733i | ||||
\(291\) | −0.842244 | + | 0.842244i | −0.0493732 | + | 0.0493732i | ||||
\(292\) | −12.2945 | − | 7.65020i | −0.719481 | − | 0.447694i | ||||
\(293\) | 11.2629 | − | 11.2629i | 0.657986 | − | 0.657986i | −0.296917 | − | 0.954903i | \(-0.595959\pi\) |
0.954903 | + | 0.296917i | \(0.0959586\pi\) | |||||||
\(294\) | −2.05656 | − | 0.587609i | −0.119941 | − | 0.0342701i | ||||
\(295\) | − | 21.9653i | − | 1.27887i | ||||||
\(296\) | 5.73454 | − | 5.19290i | 0.333313 | − | 0.301831i | ||||
\(297\) | 1.21359i | 0.0704198i | ||||||||
\(298\) | 4.38750 | − | 15.3558i | 0.254161 | − | 0.889535i | ||||
\(299\) | 7.13870 | − | 7.13870i | 0.412842 | − | 0.412842i | ||||
\(300\) | 0.451122 | + | 1.93733i | 0.0260456 | + | 0.111852i | ||||
\(301\) | −15.3862 | − | 15.3862i | −0.886844 | − | 0.886844i | ||||
\(302\) | −9.55522 | + | 5.30834i | −0.549841 | + | 0.305461i | ||||
\(303\) | 0.402967 | 0.0231498 | ||||||||
\(304\) | 6.55570 | − | 19.2753i | 0.375995 | − | 1.10552i | ||||
\(305\) | −0.545954 | −0.0312613 | ||||||||
\(306\) | 11.2617 | − | 6.25640i | 0.643791 | − | 0.357654i | ||||
\(307\) | −5.37386 | + | 5.37386i | −0.306702 | + | 0.306702i | −0.843629 | − | 0.536927i | \(-0.819585\pi\) |
0.536927 | + | 0.843629i | \(0.319585\pi\) | |||||||
\(308\) | 4.34723 | + | 18.6690i | 0.247707 | + | 1.06377i | ||||
\(309\) | 1.02791 | − | 1.02791i | 0.0584755 | − | 0.0584755i | ||||
\(310\) | −31.1409 | − | 8.89770i | −1.76869 | − | 0.505355i | ||||
\(311\) | 6.14131 | 0.348242 | 0.174121 | − | 0.984724i | \(-0.444292\pi\) | ||||
0.174121 | + | 0.984724i | \(0.444292\pi\) | |||||||
\(312\) | 0.938216 | + | 0.0465051i | 0.0531160 | + | 0.00263283i | ||||
\(313\) | 25.0103 | 1.41367 | 0.706833 | − | 0.707380i | \(-0.250123\pi\) | ||||
0.706833 | + | 0.707380i | \(0.250123\pi\) | |||||||
\(314\) | 3.11175 | + | 0.889101i | 0.175606 | + | 0.0501749i | ||||
\(315\) | −38.5576 | + | 38.5576i | −2.17247 | + | 2.17247i | ||||
\(316\) | −3.35638 | − | 2.08849i | −0.188811 | − | 0.117487i | ||||
\(317\) | 15.3871 | + | 15.3871i | 0.864226 | + | 0.864226i | 0.991826 | − | 0.127600i | \(-0.0407273\pi\) |
−0.127600 | + | 0.991826i | \(0.540727\pi\) | |||||||
\(318\) | −1.28687 | + | 0.714913i | −0.0721640 | + | 0.0400903i | ||||
\(319\) | 20.0341 | 1.12169 | ||||||||
\(320\) | 19.6272 | + | 23.9588i | 1.09719 | + | 1.33934i | ||||
\(321\) | 0.703964i | 0.0392914i | ||||||||
\(322\) | −9.79226 | − | 17.6264i | −0.545701 | − | 0.982283i | ||||
\(323\) | 10.9651 | − | 10.9651i | 0.610112 | − | 0.610112i | ||||
\(324\) | −9.41552 | + | 15.1315i | −0.523084 | + | 0.840638i | ||||
\(325\) | 23.5569 | − | 23.5569i | 1.30670 | − | 1.30670i | ||||
\(326\) | 8.60519 | − | 30.1172i | 0.476598 | − | 1.66804i | ||||
\(327\) | − | 0.416520i | − | 0.0230336i | ||||||
\(328\) | 8.11054 | − | 16.1932i | 0.447830 | − | 0.894119i | ||||
\(329\) | − | 5.42781i | − | 0.299245i | ||||||
\(330\) | −1.06657 | − | 0.304745i | −0.0587129 | − | 0.0167757i | ||||
\(331\) | 14.4298 | − | 14.4298i | 0.793134 | − | 0.793134i | −0.188869 | − | 0.982002i | \(-0.560482\pi\) |
0.982002 | + | 0.188869i | \(0.0604821\pi\) | |||||||
\(332\) | 4.17534 | + | 17.9308i | 0.229151 | + | 0.984081i | ||||
\(333\) | −5.78309 | + | 5.78309i | −0.316911 | + | 0.316911i | ||||
\(334\) | −3.76712 | + | 2.09280i | −0.206127 | + | 0.114513i | ||||
\(335\) | 45.5658i | 2.48953i | ||||||||
\(336\) | 0.604119 | − | 1.77626i | 0.0329574 | − | 0.0969027i | ||||
\(337\) | −31.4767 | −1.71464 | −0.857322 | − | 0.514780i | \(-0.827874\pi\) | ||||
−0.857322 | + | 0.514780i | \(0.827874\pi\) | |||||||
\(338\) | 1.28801 | + | 2.31847i | 0.0700586 | + | 0.126108i | ||||
\(339\) | −0.0908938 | − | 0.0908938i | −0.00493667 | − | 0.00493667i | ||||
\(340\) | 5.34991 | + | 22.9750i | 0.290140 | + | 1.24599i | ||||
\(341\) | 8.51057 | − | 8.51057i | 0.460873 | − | 0.460873i | ||||
\(342\) | −5.91309 | + | 20.6951i | −0.319743 | + | 1.11906i | ||||
\(343\) | 38.5726 | 2.08273 | ||||||||
\(344\) | 9.68473 | − | 8.76997i | 0.522165 | − | 0.472845i | ||||
\(345\) | 1.16685 | 0.0628213 | ||||||||
\(346\) | −9.37678 | + | 32.8176i | −0.504099 | + | 1.76429i | ||||
\(347\) | 9.85818 | − | 9.85818i | 0.529215 | − | 0.529215i | −0.391124 | − | 0.920338i | \(-0.627913\pi\) |
0.920338 | + | 0.391124i | \(0.127913\pi\) | |||||||
\(348\) | −1.66490 | − | 1.03598i | −0.0892480 | − | 0.0555342i | ||||
\(349\) | −11.2186 | + | 11.2186i | −0.600520 | + | 0.600520i | −0.940450 | − | 0.339931i | \(-0.889596\pi\) |
0.339931 | + | 0.940450i | \(0.389596\pi\) | |||||||
\(350\) | −32.3133 | − | 58.1652i | −1.72722 | − | 3.10906i | ||||
\(351\) | −1.98941 | −0.106187 | ||||||||
\(352\) | −11.3254 | + | 2.05215i | −0.603643 | + | 0.109380i | ||||
\(353\) | −3.11142 | −0.165604 | −0.0828020 | − | 0.996566i | \(-0.526387\pi\) | ||||
−0.0828020 | + | 0.996566i | \(0.526387\pi\) | |||||||
\(354\) | −0.388003 | − | 0.698419i | −0.0206221 | − | 0.0371206i | ||||
\(355\) | −22.6689 | − | 22.6689i | −1.20314 | − | 1.20314i | ||||
\(356\) | 7.31410 | − | 11.7543i | 0.387646 | − | 0.622979i | ||||
\(357\) | 1.01045 | − | 1.01045i | 0.0534787 | − | 0.0534787i | ||||
\(358\) | 21.8282 | + | 6.23684i | 1.15366 | + | 0.329627i | ||||
\(359\) | 0.212215i | 0.0112003i | 0.999984 | + | 0.00560014i | \(0.00178259\pi\) | ||||
−0.999984 | + | 0.00560014i | \(0.998217\pi\) | |||||||
\(360\) | −21.9775 | − | 24.2698i | −1.15831 | − | 1.27913i | ||||
\(361\) | 6.90722i | 0.363538i | ||||||||
\(362\) | −8.78923 | + | 30.7613i | −0.461951 | + | 1.61678i | ||||
\(363\) | −0.483023 | + | 0.483023i | −0.0253521 | + | 0.0253521i | ||||
\(364\) | −30.6035 | + | 7.12629i | −1.60406 | + | 0.373519i | ||||
\(365\) | −19.8203 | + | 19.8203i | −1.03744 | + | 1.03744i | ||||
\(366\) | −0.0173594 | + | 0.00964393i | −0.000907392 | + | 0.000504096i | ||||
\(367\) | −5.87409 | −0.306625 | −0.153313 | − | 0.988178i | \(-0.548994\pi\) | ||||
−0.153313 | + | 0.988178i | \(0.548994\pi\) | |||||||
\(368\) | 10.8620 | − | 5.34861i | 0.566219 | − | 0.278816i | ||||
\(369\) | −7.71609 | + | 17.5222i | −0.401684 | + | 0.912168i | ||||
\(370\) | −7.27264 | − | 13.0910i | −0.378087 | − | 0.680570i | ||||
\(371\) | 34.8201 | − | 34.8201i | 1.80777 | − | 1.80777i | ||||
\(372\) | −1.14734 | + | 0.267169i | −0.0594870 | + | 0.0138520i | ||||
\(373\) | 5.04430 | + | 5.04430i | 0.261184 | + | 0.261184i | 0.825535 | − | 0.564351i | \(-0.190874\pi\) |
−0.564351 | + | 0.825535i | \(0.690874\pi\) | |||||||
\(374\) | −8.42910 | − | 2.40840i | −0.435859 | − | 0.124535i | ||||
\(375\) | 1.92298 | 0.0993022 | ||||||||
\(376\) | 3.25515 | + | 0.161350i | 0.167871 | + | 0.00832098i | ||||
\(377\) | 32.8413i | 1.69141i | ||||||||
\(378\) | −1.09161 | + | 3.82051i | −0.0561463 | + | 0.196506i | ||||
\(379\) | 10.7770 | + | 10.7770i | 0.553578 | + | 0.553578i | 0.927472 | − | 0.373894i | \(-0.121978\pi\) |
−0.373894 | + | 0.927472i | \(0.621978\pi\) | |||||||
\(380\) | −33.4617 | − | 20.8214i | −1.71655 | − | 1.06812i | ||||
\(381\) | −0.987375 | − | 0.987375i | −0.0505847 | − | 0.0505847i | ||||
\(382\) | −0.720681 | − | 1.29725i | −0.0368733 | − | 0.0663732i | ||||
\(383\) | 2.81355i | 0.143766i | 0.997413 | + | 0.0718830i | \(0.0229008\pi\) | ||||
−0.997413 | + | 0.0718830i | \(0.977099\pi\) | |||||||
\(384\) | 1.04729 | + | 0.415102i | 0.0534444 | + | 0.0211831i | ||||
\(385\) | 37.1051 | 1.89105 | ||||||||
\(386\) | 12.3099 | + | 22.1583i | 0.626559 | + | 1.12783i | ||||
\(387\) | −9.76671 | + | 9.76671i | −0.496470 | + | 0.496470i | ||||
\(388\) | 20.3127 | + | 12.6395i | 1.03122 | + | 0.641672i | ||||
\(389\) | −8.56426 | − | 8.56426i | −0.434225 | − | 0.434225i | 0.455838 | − | 0.890063i | \(-0.349340\pi\) |
−0.890063 | + | 0.455838i | \(0.849340\pi\) | |||||||
\(390\) | 0.499559 | − | 1.74840i | 0.0252962 | − | 0.0885336i | ||||
\(391\) | 9.22163 | 0.466358 | ||||||||
\(392\) | −2.12681 | + | 42.9074i | −0.107420 | + | 2.16715i | ||||
\(393\) | −0.590139 | −0.0297686 | ||||||||
\(394\) | −21.8791 | − | 6.25139i | −1.10225 | − | 0.314940i | ||||
\(395\) | −5.41090 | + | 5.41090i | −0.272252 | + | 0.272252i | ||||
\(396\) | 11.8506 | − | 2.75950i | 0.595514 | − | 0.138670i | ||||
\(397\) | 4.81003 | + | 4.81003i | 0.241409 | + | 0.241409i | 0.817433 | − | 0.576024i | \(-0.195397\pi\) |
−0.576024 | + | 0.817433i | \(0.695397\pi\) | |||||||
\(398\) | −18.2953 | + | 10.1639i | −0.917062 | + | 0.509469i | ||||
\(399\) | 2.38740i | 0.119519i | ||||||||
\(400\) | 35.8432 | − | 17.6498i | 1.79216 | − | 0.882490i | ||||
\(401\) | 10.9793 | 0.548279 | 0.274139 | − | 0.961690i | \(-0.411607\pi\) | ||||
0.274139 | + | 0.961690i | \(0.411607\pi\) | |||||||
\(402\) | 0.804891 | + | 1.44883i | 0.0401443 | + | 0.0722612i | ||||
\(403\) | 13.9511 | + | 13.9511i | 0.694954 | + | 0.694954i | ||||
\(404\) | −1.83559 | − | 7.88288i | −0.0913242 | − | 0.392188i | ||||
\(405\) | 24.3939 | + | 24.3939i | 1.21214 | + | 1.21214i | ||||
\(406\) | 63.0692 | + | 18.0204i | 3.13007 | + | 0.894336i | ||||
\(407\) | 5.56523 | 0.275858 | ||||||||
\(408\) | 0.575947 | + | 0.636021i | 0.0285136 | + | 0.0314877i | ||||
\(409\) | − | 20.6441i | − | 1.02079i | −0.859942 | − | 0.510393i | \(-0.829500\pi\) | ||
0.859942 | − | 0.510393i | \(-0.170500\pi\) | |||||||
\(410\) | −26.9684 | − | 22.3997i | −1.33187 | − | 1.10624i | ||||
\(411\) | −0.166261 | − | 0.166261i | −0.00820107 | − | 0.00820107i | ||||
\(412\) | −24.7903 | − | 15.4257i | −1.22133 | − | 0.759968i | ||||
\(413\) | 18.8978 | + | 18.8978i | 0.929901 | + | 0.929901i | ||||
\(414\) | −11.1888 | + | 6.21585i | −0.549898 | + | 0.305493i | ||||
\(415\) | 35.6379 | 1.74940 | ||||||||
\(416\) | −3.36402 | − | 18.5653i | −0.164935 | − | 0.910239i | ||||
\(417\) | 1.30089i | 0.0637049i | ||||||||
\(418\) | 12.8029 | − | 7.11259i | 0.626211 | − | 0.347888i | ||||
\(419\) | 19.3337 | − | 19.3337i | 0.944511 | − | 0.944511i | −0.0540282 | − | 0.998539i | \(-0.517206\pi\) |
0.998539 | + | 0.0540282i | \(0.0172061\pi\) | |||||||
\(420\) | −3.08356 | − | 1.91873i | −0.150462 | − | 0.0936245i | ||||
\(421\) | −0.696046 | + | 0.696046i | −0.0339232 | + | 0.0339232i | −0.723865 | − | 0.689942i | \(-0.757636\pi\) |
0.689942 | + | 0.723865i | \(0.257636\pi\) | |||||||
\(422\) | −28.6587 | − | 8.18846i | −1.39508 | − | 0.398608i | ||||
\(423\) | −3.44542 | −0.167522 | ||||||||
\(424\) | 19.8471 | + | 21.9173i | 0.963862 | + | 1.06440i | ||||
\(425\) | 30.4303 | 1.47609 | ||||||||
\(426\) | −1.12122 | − | 0.320360i | −0.0543234 | − | 0.0155215i | ||||
\(427\) | 0.469711 | − | 0.469711i | 0.0227309 | − | 0.0227309i | ||||
\(428\) | 13.7710 | − | 3.20669i | 0.665647 | − | 0.155001i | ||||
\(429\) | 0.477823 | + | 0.477823i | 0.0230695 | + | 0.0230695i | ||||
\(430\) | −12.2823 | − | 22.1087i | −0.592307 | − | 1.06617i | ||||
\(431\) | −33.8327 | −1.62966 | −0.814832 | − | 0.579698i | \(-0.803171\pi\) | ||||
−0.814832 | + | 0.579698i | \(0.803171\pi\) | |||||||
\(432\) | −2.25877 | − | 0.768227i | −0.108675 | − | 0.0369614i | ||||
\(433\) | 0.339687 | 0.0163243 | 0.00816216 | − | 0.999967i | \(-0.497402\pi\) | ||||
0.00816216 | + | 0.999967i | \(0.497402\pi\) | |||||||
\(434\) | 34.4472 | − | 19.1369i | 1.65352 | − | 0.918602i | ||||
\(435\) | −2.68403 | + | 2.68403i | −0.128689 | + | 0.128689i | ||||
\(436\) | −8.14800 | + | 1.89733i | −0.390218 | + | 0.0908656i | ||||
\(437\) | −10.8940 | + | 10.8940i | −0.521131 | + | 0.521131i | ||||
\(438\) | −0.280103 | + | 0.980327i | −0.0133838 | + | 0.0468419i | ||||
\(439\) | 18.2096 | 0.869097 | 0.434549 | − | 0.900648i | \(-0.356908\pi\) | ||||
0.434549 | + | 0.900648i | \(0.356908\pi\) | |||||||
\(440\) | −1.10301 | + | 22.2526i | −0.0525837 | + | 1.06085i | ||||
\(441\) | − | 45.4154i | − | 2.16264i | ||||||
\(442\) | 3.94801 | − | 13.8176i | 0.187788 | − | 0.657235i | ||||
\(443\) | −9.41262 | − | 9.41262i | −0.447207 | − | 0.447207i | 0.447218 | − | 0.894425i | \(-0.352415\pi\) |
−0.894425 | + | 0.447218i | \(0.852415\pi\) | |||||||
\(444\) | −0.462489 | − | 0.287782i | −0.0219488 | − | 0.0136575i | ||||
\(445\) | −18.9495 | − | 18.9495i | −0.898291 | − | 0.898291i | ||||
\(446\) | −13.8781 | + | 7.70987i | −0.657145 | + | 0.365073i | ||||
\(447\) | −1.12446 | −0.0531853 | ||||||||
\(448\) | −37.4992 | − | 3.72664i | −1.77167 | − | 0.176067i | ||||
\(449\) | −23.8499 | −1.12555 | −0.562774 | − | 0.826611i | \(-0.690266\pi\) | ||||
−0.562774 | + | 0.826611i | \(0.690266\pi\) | |||||||
\(450\) | −36.9216 | + | 20.5116i | −1.74050 | + | 0.966926i | ||||
\(451\) | 12.1438 | − | 4.71834i | 0.571827 | − | 0.222178i | ||||
\(452\) | −1.36403 | + | 2.19211i | −0.0641587 | + | 0.103108i | ||||
\(453\) | 0.544211 | + | 0.544211i | 0.0255693 | + | 0.0255693i | ||||
\(454\) | −28.5565 | − | 8.15927i | −1.34022 | − | 0.382933i | ||||
\(455\) | 60.8252i | 2.85153i | ||||||||
\(456\) | −1.43176 | − | 0.0709690i | −0.0670484 | − | 0.00332343i | ||||
\(457\) | −12.9245 | −0.604583 | −0.302292 | − | 0.953215i | \(-0.597752\pi\) | ||||
−0.302292 | + | 0.953215i | \(0.597752\pi\) | |||||||
\(458\) | −5.78663 | + | 20.2525i | −0.270392 | + | 0.946339i | ||||
\(459\) | −1.28494 | − | 1.28494i | −0.0599757 | − | 0.0599757i | ||||
\(460\) | −5.31525 | − | 22.8261i | −0.247825 | − | 1.06427i | ||||
\(461\) | 23.4668 | − | 23.4668i | 1.09296 | − | 1.09296i | 0.0977463 | − | 0.995211i | \(-0.468837\pi\) |
0.995211 | − | 0.0977463i | \(-0.0311634\pi\) | |||||||
\(462\) | 1.17981 | − | 0.655437i | 0.0548898 | − | 0.0304937i | ||||
\(463\) | − | 32.7151i | − | 1.52040i | −0.649690 | − | 0.760199i | \(-0.725101\pi\) | ||
0.649690 | − | 0.760199i | \(-0.274899\pi\) | |||||||
\(464\) | −12.6820 | + | 37.2880i | −0.588745 | + | 1.73105i | ||||
\(465\) | 2.28037i | 0.105750i | ||||||||
\(466\) | −14.4403 | + | 8.02222i | −0.668934 | + | 0.371622i | ||||
\(467\) | −19.3924 | + | 19.3924i | −0.897375 | + | 0.897375i | −0.995203 | − | 0.0978287i | \(-0.968810\pi\) |
0.0978287 | + | 0.995203i | \(0.468810\pi\) | |||||||
\(468\) | 4.52357 | + | 19.4263i | 0.209102 | + | 0.897980i | ||||
\(469\) | −39.2025 | − | 39.2025i | −1.81020 | − | 1.81020i | ||||
\(470\) | 1.73322 | − | 6.06608i | 0.0799477 | − | 0.279808i | ||||
\(471\) | − | 0.227866i | − | 0.0104995i | ||||||
\(472\) | −11.8951 | + | 10.7716i | −0.547517 | + | 0.495802i | ||||
\(473\) | 9.39879 | 0.432157 | ||||||||
\(474\) | −0.0764676 | + | 0.267628i | −0.00351227 | + | 0.0122926i | ||||
\(475\) | −35.9489 | + | 35.9489i | −1.64945 | + | 1.64945i | ||||
\(476\) | −24.3693 | − | 15.1637i | −1.11697 | − | 0.695028i | ||||
\(477\) | −22.1028 | − | 22.1028i | −1.01202 | − | 1.01202i | ||||
\(478\) | 0.480471 | + | 0.864866i | 0.0219762 | + | 0.0395581i | ||||
\(479\) | 9.07998i | 0.414875i | 0.978248 | + | 0.207437i | \(0.0665124\pi\) | ||||
−0.978248 | + | 0.207437i | \(0.933488\pi\) | |||||||
\(480\) | 1.24236 | − | 1.79222i | 0.0567057 | − | 0.0818035i | ||||
\(481\) | 9.12291i | 0.415969i | ||||||||
\(482\) | −3.07523 | + | 1.70842i | −0.140073 | + | 0.0778166i | ||||
\(483\) | −1.00390 | + | 1.00390i | −0.0456791 | + | 0.0456791i | ||||
\(484\) | 11.6492 | + | 7.24867i | 0.529509 | + | 0.329485i | ||||
\(485\) | 32.7466 | − | 32.7466i | 1.48694 | − | 1.48694i | ||||
\(486\) | 3.63973 | + | 1.03996i | 0.165102 | + | 0.0471735i | ||||
\(487\) | − | 2.24860i | − | 0.101894i | −0.998701 | − | 0.0509470i | \(-0.983776\pi\) | ||
0.998701 | − | 0.0509470i | \(-0.0162240\pi\) | |||||||
\(488\) | 0.267731 | + | 0.295657i | 0.0121196 | + | 0.0133838i | ||||
\(489\) | −2.20541 | −0.0997319 | ||||||||
\(490\) | 79.9594 | + | 22.8463i | 3.61220 | + | 1.03209i | ||||
\(491\) | 3.07848 | + | 3.07848i | 0.138930 | + | 0.138930i | 0.773151 | − | 0.634222i | \(-0.218679\pi\) |
−0.634222 | + | 0.773151i | \(0.718679\pi\) | |||||||
\(492\) | −1.25318 | − | 0.235853i | −0.0564975 | − | 0.0106331i | ||||
\(493\) | −21.2118 | + | 21.2118i | −0.955333 | + | 0.955333i | ||||
\(494\) | 11.6594 | + | 20.9874i | 0.524583 | + | 0.944269i | ||||
\(495\) | − | 23.5533i | − | 1.05864i | ||||||
\(496\) | 10.4528 | + | 21.2274i | 0.469343 | + | 0.953141i | ||||
\(497\) | 39.0063 | 1.74967 | ||||||||
\(498\) | 1.13316 | − | 0.629520i | 0.0507781 | − | 0.0282095i | ||||
\(499\) | −12.3889 | − | 12.3889i | −0.554603 | − | 0.554603i | 0.373163 | − | 0.927766i | \(-0.378273\pi\) |
−0.927766 | + | 0.373163i | \(0.878273\pi\) | |||||||
\(500\) | −8.75955 | − | 37.6175i | −0.391739 | − | 1.68231i | ||||
\(501\) | 0.214554 | + | 0.214554i | 0.00958555 | + | 0.00958555i | ||||
\(502\) | −26.6543 | − | 7.61578i | −1.18964 | − | 0.339909i | ||||
\(503\) | −20.4394 | −0.911347 | −0.455674 | − | 0.890147i | \(-0.650602\pi\) | ||||
−0.455674 | + | 0.890147i | \(0.650602\pi\) | |||||||
\(504\) | 39.7888 | + | 1.97224i | 1.77234 | + | 0.0878504i | ||||
\(505\) | −15.6674 | −0.697190 | ||||||||
\(506\) | 8.37448 | + | 2.39279i | 0.372291 | + | 0.106372i | ||||
\(507\) | 0.132047 | − | 0.132047i | 0.00586440 | − | 0.00586440i | ||||
\(508\) | −14.8174 | + | 23.8128i | −0.657417 | + | 1.05652i | ||||
\(509\) | −2.14552 | − | 2.14552i | −0.0950983 | − | 0.0950983i | 0.657957 | − | 0.753055i | \(-0.271421\pi\) |
−0.753055 | + | 0.657957i | \(0.771421\pi\) | |||||||
\(510\) | 1.45193 | − | 0.806612i | 0.0642926 | − | 0.0357174i | ||||
\(511\) | − | 34.1047i | − | 1.50870i | ||||||
\(512\) | 3.34965 | − | 22.3781i | 0.148035 | − | 0.988982i | ||||
\(513\) | 3.03593 | 0.134040 | ||||||||
\(514\) | 14.1576 | + | 25.4842i | 0.624464 | + | 1.12406i | ||||
\(515\) | −39.9651 | + | 39.9651i | −1.76107 | + | 1.76107i | ||||
\(516\) | −0.781070 | − | 0.486018i | −0.0343847 | − | 0.0213958i | ||||
\(517\) | 1.65781 | + | 1.65781i | 0.0729105 | + | 0.0729105i | ||||
\(518\) | 17.5199 | + | 5.00584i | 0.769779 | + | 0.219944i | ||||
\(519\) | 2.40316 | 0.105487 | ||||||||
\(520\) | −36.4779 | − | 1.80812i | −1.59966 | − | 0.0792914i | ||||
\(521\) | 3.80786 | 0.166825 | 0.0834126 | − | 0.996515i | \(-0.473418\pi\) | ||||
0.0834126 | + | 0.996515i | \(0.473418\pi\) | |||||||
\(522\) | 11.4388 | − | 40.0346i | 0.500664 | − | 1.75227i | ||||
\(523\) | 9.94726 | + | 9.94726i | 0.434963 | + | 0.434963i | 0.890313 | − | 0.455350i | \(-0.150486\pi\) |
−0.455350 | + | 0.890313i | \(0.650486\pi\) | |||||||
\(524\) | 2.68820 | + | 11.5444i | 0.117435 | + | 0.504318i | ||||
\(525\) | −3.31276 | + | 3.31276i | −0.144581 | + | 0.144581i | ||||
\(526\) | 27.4011 | − | 15.2225i | 1.19474 | − | 0.663732i | ||||
\(527\) | 18.0218i | 0.785040i | ||||||||
\(528\) | 0.358005 | + | 0.727037i | 0.0155802 | + | 0.0316402i | ||||
\(529\) | 13.8381 | 0.601658 | ||||||||
\(530\) | 50.0336 | − | 27.7959i | 2.17332 | − | 1.20738i | ||||
\(531\) | 11.9958 | − | 11.9958i | 0.520574 | − | 0.520574i | ||||
\(532\) | 46.7025 | − | 10.8751i | 2.02481 | − | 0.471493i | ||||
\(533\) | 7.73463 | + | 19.9069i | 0.335024 | + | 0.862263i | ||||
\(534\) | −0.937257 | − | 0.267797i | −0.0405591 | − | 0.0115887i | ||||
\(535\) | − | 27.3702i | − | 1.18332i | ||||||
\(536\) | 24.6758 | − | 22.3451i | 1.06583 | − | 0.965160i | ||||
\(537\) | − | 1.59843i | − | 0.0689771i | ||||||
\(538\) | −2.30685 | + | 8.07370i | −0.0994553 | + | 0.348082i | ||||
\(539\) | −21.8523 | + | 21.8523i | −0.941245 | + | 0.941245i | ||||
\(540\) | −2.43995 | + | 3.92120i | −0.104999 | + | 0.168742i | ||||
\(541\) | 5.91231 | − | 5.91231i | 0.254190 | − | 0.254190i | −0.568496 | − | 0.822686i | \(-0.692474\pi\) |
0.822686 | + | 0.568496i | \(0.192474\pi\) | |||||||
\(542\) | −21.0125 | + | 11.6734i | −0.902564 | + | 0.501414i | ||||
\(543\) | 2.25257 | 0.0966671 | ||||||||
\(544\) | 9.81835 | − | 14.1639i | 0.420958 | − | 0.607273i | ||||
\(545\) | 16.1943i | 0.693689i | ||||||||
\(546\) | 1.07444 | + | 1.93403i | 0.0459817 | + | 0.0827688i | ||||
\(547\) | −20.8151 | − | 20.8151i | −0.889988 | − | 0.889988i | 0.104534 | − | 0.994521i | \(-0.466665\pi\) |
−0.994521 | + | 0.104534i | \(0.966665\pi\) | |||||||
\(548\) | −2.49507 | + | 4.00978i | −0.106584 | + | 0.171289i | ||||
\(549\) | −0.298160 | − | 0.298160i | −0.0127251 | − | 0.0127251i | ||||
\(550\) | 27.6348 | + | 7.89592i | 1.17835 | + | 0.336683i | ||||
\(551\) | − | 50.1173i | − | 2.13507i | ||||||
\(552\) | −0.572214 | − | 0.631899i | −0.0243551 | − | 0.0268954i | ||||
\(553\) | − | 9.31053i | − | 0.395924i | ||||||
\(554\) | 8.41839 | + | 2.40533i | 0.357663 | + | 0.102193i | ||||
\(555\) | −0.745591 | + | 0.745591i | −0.0316486 | + | 0.0316486i | ||||
\(556\) | 25.4481 | − | 5.92581i | 1.07924 | − | 0.251310i | ||||
\(557\) | −16.9512 | − | 16.9512i | −0.718246 | − | 0.718246i | 0.250000 | − | 0.968246i | \(-0.419569\pi\) |
−0.968246 | + | 0.250000i | \(0.919569\pi\) | |||||||
\(558\) | −12.1476 | − | 21.8661i | −0.514249 | − | 0.925667i | ||||
\(559\) | 15.4071i | 0.651653i | ||||||||
\(560\) | −23.4882 | + | 69.0610i | −0.992558 | + | 2.91836i | ||||
\(561\) | 0.617242i | 0.0260600i | ||||||||
\(562\) | −33.2981 | + | 18.4986i | −1.40459 | + | 0.780314i | ||||
\(563\) | 13.0918 | + | 13.0918i | 0.551754 | + | 0.551754i | 0.926947 | − | 0.375193i | \(-0.122424\pi\) |
−0.375193 | + | 0.926947i | \(0.622424\pi\) | |||||||
\(564\) | −0.0520430 | − | 0.223497i | −0.00219141 | − | 0.00941090i | ||||
\(565\) | 3.53396 | + | 3.53396i | 0.148675 | + | 0.148675i | ||||
\(566\) | 18.5480 | + | 5.29960i | 0.779630 | + | 0.222759i | ||||
\(567\) | −41.9745 | −1.76276 | ||||||||
\(568\) | −1.15952 | + | 23.3927i | −0.0486524 | + | 0.981538i | ||||
\(569\) | 44.9782i | 1.88558i | 0.333382 | + | 0.942792i | \(0.391810\pi\) | ||||
−0.333382 | + | 0.942792i | \(0.608190\pi\) | |||||||
\(570\) | −0.762351 | + | 2.66814i | −0.0319314 | + | 0.111756i | ||||
\(571\) | −20.5410 | + | 20.5410i | −0.859616 | + | 0.859616i | −0.991293 | − | 0.131677i | \(-0.957964\pi\) |
0.131677 | + | 0.991293i | \(0.457964\pi\) | |||||||
\(572\) | 7.17065 | − | 11.5238i | 0.299820 | − | 0.481835i | ||||
\(573\) | −0.0738841 | + | 0.0738841i | −0.00308655 | + | 0.00308655i | ||||
\(574\) | 42.4738 | − | 3.93065i | 1.77282 | − | 0.164062i | ||||
\(575\) | −30.2331 | −1.26081 | ||||||||
\(576\) | −2.36557 | + | 23.8034i | −0.0985653 | + | 0.991809i | ||||
\(577\) | 11.0139i | 0.458514i | 0.973366 | + | 0.229257i | \(0.0736296\pi\) | ||||
−0.973366 | + | 0.229257i | \(0.926370\pi\) | |||||||
\(578\) | −9.54167 | + | 5.30082i | −0.396881 | + | 0.220485i | ||||
\(579\) | 1.26201 | − | 1.26201i | 0.0524475 | − | 0.0524475i | ||||
\(580\) | 64.7315 | + | 40.2789i | 2.68783 | + | 1.67249i | ||||
\(581\) | −30.6610 | + | 30.6610i | −1.27203 | + | 1.27203i | ||||
\(582\) | 0.462779 | − | 1.61967i | 0.0191828 | − | 0.0671376i | ||||
\(583\) | 21.2702i | 0.880921i | ||||||||
\(584\) | 20.4532 | + | 1.01381i | 0.846359 | + | 0.0419519i | ||||
\(585\) | 38.6102 | 1.59633 | ||||||||
\(586\) | −6.18850 | + | 21.6590i | −0.255645 | + | 0.894727i | ||||
\(587\) | −5.02520 | + | 5.02520i | −0.207412 | + | 0.207412i | −0.803167 | − | 0.595754i | \(-0.796853\pi\) |
0.595754 | + | 0.803167i | \(0.296853\pi\) | |||||||
\(588\) | 2.94600 | − | 0.685999i | 0.121491 | − | 0.0282901i | ||||
\(589\) | −21.2901 | − | 21.2901i | −0.877242 | − | 0.877242i | ||||
\(590\) | 15.0856 | + | 27.1546i | 0.621064 | + | 1.11794i | ||||
\(591\) | 1.60215i | 0.0659038i | ||||||||
\(592\) | −3.52289 | + | 10.3582i | −0.144790 | + | 0.425718i | ||||
\(593\) | 2.57910i | 0.105911i | 0.998597 | + | 0.0529554i | \(0.0168641\pi\) | ||||
−0.998597 | + | 0.0529554i | \(0.983136\pi\) | |||||||
\(594\) | −0.833486 | − | 1.50031i | −0.0341984 | − | 0.0615583i | ||||
\(595\) | −39.2864 | + | 39.2864i | −1.61058 | + | 1.61058i | ||||
\(596\) | 5.12215 | + | 21.9969i | 0.209812 | + | 0.901027i | ||||
\(597\) | 1.04200 | + | 1.04200i | 0.0426462 | + | 0.0426462i | ||||
\(598\) | −3.92242 | + | 13.7280i | −0.160400 | + | 0.561381i | ||||
\(599\) | − | 5.56070i | − | 0.227204i | −0.993526 | − | 0.113602i | \(-0.963761\pi\) | ||
0.993526 | − | 0.113602i | \(-0.0362389\pi\) | |||||||
\(600\) | −1.88824 | − | 2.08519i | −0.0770871 | − | 0.0851277i | ||||
\(601\) | 24.1286 | 0.984225 | 0.492113 | − | 0.870531i | \(-0.336225\pi\) | ||||
0.492113 | + | 0.870531i | \(0.336225\pi\) | |||||||
\(602\) | 29.5883 | + | 8.45407i | 1.20593 | + | 0.344562i | ||||
\(603\) | −24.8847 | + | 24.8847i | −1.01338 | + | 1.01338i | ||||
\(604\) | 8.16692 | − | 13.1249i | 0.332307 | − | 0.534044i | ||||
\(605\) | 18.7800 | − | 18.7800i | 0.763514 | − | 0.763514i | ||||
\(606\) | −0.498168 | + | 0.276754i | −0.0202367 | + | 0.0112424i | ||||
\(607\) | −37.6187 | −1.52690 | −0.763449 | − | 0.645868i | \(-0.776495\pi\) | ||||
−0.763449 | + | 0.645868i | \(0.776495\pi\) | |||||||
\(608\) | 5.13366 | + | 28.3315i | 0.208197 | + | 1.14900i | ||||
\(609\) | − | 4.61840i | − | 0.187147i | ||||||
\(610\) | 0.674937 | − | 0.374957i | 0.0273274 | − | 0.0151816i | ||||
\(611\) | −2.71760 | + | 2.71760i | −0.109942 | + | 0.109942i | ||||
\(612\) | −9.62550 | + | 15.4690i | −0.389088 | + | 0.625295i | ||||
\(613\) | −8.46807 | − | 8.46807i | −0.342022 | − | 0.342022i | 0.515105 | − | 0.857127i | \(-0.327753\pi\) |
−0.857127 | + | 0.515105i | \(0.827753\pi\) | |||||||
\(614\) | 2.95272 | − | 10.3342i | 0.119162 | − | 0.417053i | ||||
\(615\) | −0.994805 | + | 2.25907i | −0.0401144 | + | 0.0910943i | ||||
\(616\) | −18.1960 | − | 20.0939i | −0.733138 | − | 0.809608i | ||||
\(617\) | − | 17.5235i | − | 0.705468i | −0.935724 | − | 0.352734i | \(-0.885252\pi\) | ||
0.935724 | − | 0.352734i | \(-0.114748\pi\) | |||||||
\(618\) | −0.564792 | + | 1.97671i | −0.0227193 | + | 0.0795148i | ||||
\(619\) | 19.2717 | + | 19.2717i | 0.774597 | + | 0.774597i | 0.978906 | − | 0.204310i | \(-0.0654949\pi\) |
−0.204310 | + | 0.978906i | \(0.565495\pi\) | |||||||
\(620\) | 44.6089 | − | 10.3875i | 1.79154 | − | 0.417174i | ||||
\(621\) | 1.27661 | + | 1.27661i | 0.0512286 | + | 0.0512286i | ||||
\(622\) | −7.59220 | + | 4.21780i | −0.304419 | + | 0.169118i | ||||
\(623\) | 32.6063 | 1.30635 | ||||||||
\(624\) | −1.19181 | + | 0.586867i | −0.0477106 | + | 0.0234935i | ||||
\(625\) | −24.8243 | −0.992971 | ||||||||
\(626\) | −30.9190 | + | 17.1769i | −1.23577 | + | 0.686526i | ||||
\(627\) | −0.729182 | − | 0.729182i | −0.0291207 | − | 0.0291207i | ||||
\(628\) | −4.45753 | + | 1.03797i | −0.177875 | + | 0.0414196i | ||||
\(629\) | −5.89239 | + | 5.89239i | −0.234945 | + | 0.234945i | ||||
\(630\) | 21.1858 | − | 74.1479i | 0.844063 | − | 2.95412i | ||||
\(631\) | 10.2915i | 0.409697i | 0.978794 | + | 0.204849i | \(0.0656702\pi\) | ||||
−0.978794 | + | 0.204849i | \(0.934330\pi\) | |||||||
\(632\) | 5.58369 | + | 0.276770i | 0.222107 | + | 0.0110093i | ||||
\(633\) | 2.09860i | 0.0834120i | ||||||||
\(634\) | −29.5901 | − | 8.45459i | −1.17517 | − | 0.335774i | ||||
\(635\) | 38.3892 | + | 38.3892i | 1.52343 | + | 1.52343i | ||||
\(636\) | 1.09990 | − | 1.76762i | 0.0436138 | − | 0.0700908i | ||||
\(637\) | −35.8218 | − | 35.8218i | −1.41931 | − | 1.41931i | ||||
\(638\) | −24.7672 | + | 13.7593i | −0.980541 | + | 0.544734i | ||||
\(639\) | − | 24.7601i | − | 0.979495i | ||||||
\(640\) | −40.7188 | − | 16.1392i | −1.60955 | − | 0.637959i | ||||
\(641\) | − | 43.2079i | − | 1.70661i | −0.521412 | − | 0.853305i | \(-0.674595\pi\) | ||
0.521412 | − | 0.853305i | \(-0.325405\pi\) | |||||||
\(642\) | −0.483477 | − | 0.870276i | −0.0190813 | − | 0.0343471i | ||||
\(643\) | 26.4101 | + | 26.4101i | 1.04151 | + | 1.04151i | 0.999100 | + | 0.0424136i | \(0.0135047\pi\) |
0.0424136 | + | 0.999100i | \(0.486495\pi\) | |||||||
\(644\) | 24.2114 | + | 15.0654i | 0.954062 | + | 0.593662i | ||||
\(645\) | −1.25918 | + | 1.25918i | −0.0495803 | + | 0.0495803i | ||||
\(646\) | −6.02485 | + | 21.0863i | −0.237045 | + | 0.829628i | ||||
\(647\) | 13.0376i | 0.512563i | 0.966602 | + | 0.256281i | \(0.0824974\pi\) | ||||
−0.966602 | + | 0.256281i | \(0.917503\pi\) | |||||||
\(648\) | 1.24776 | − | 25.1728i | 0.0490165 | − | 0.988882i | ||||
\(649\) | −11.5439 | −0.453138 | ||||||||
\(650\) | −12.9435 | + | 45.3009i | −0.507687 | + | 1.77685i | ||||
\(651\) | −1.96192 | − | 1.96192i | −0.0768936 | − | 0.0768936i | ||||
\(652\) | 10.0461 | + | 43.1424i | 0.393434 | + | 1.68959i | ||||
\(653\) | 8.30935 | + | 8.30935i | 0.325170 | + | 0.325170i | 0.850746 | − | 0.525576i | \(-0.176150\pi\) |
−0.525576 | + | 0.850746i | \(0.676150\pi\) | |||||||
\(654\) | 0.286062 | + | 0.514923i | 0.0111859 | + | 0.0201351i | ||||
\(655\) | 22.9447 | 0.896523 | ||||||||
\(656\) | 1.09468 | + | 25.5891i | 0.0427401 | + | 0.999086i | ||||
\(657\) | −21.6487 | −0.844597 | ||||||||
\(658\) | 3.72777 | + | 6.71013i | 0.145324 | + | 0.261588i | ||||
\(659\) | −5.90237 | − | 5.90237i | −0.229924 | − | 0.229924i | 0.582737 | − | 0.812661i | \(-0.301982\pi\) |
−0.812661 | + | 0.582737i | \(0.801982\pi\) | |||||||
\(660\) | 1.52785 | − | 0.355772i | 0.0594714 | − | 0.0138484i | ||||
\(661\) | −10.2830 | − | 10.2830i | −0.399963 | − | 0.399963i | 0.478257 | − | 0.878220i | \(-0.341269\pi\) |
−0.878220 | + | 0.478257i | \(0.841269\pi\) | |||||||
\(662\) | −7.92859 | + | 27.7491i | −0.308153 | + | 1.07850i | ||||
\(663\) | −1.01183 | −0.0392961 | ||||||||
\(664\) | −17.4765 | − | 19.2994i | −0.678220 | − | 0.748962i | ||||
\(665\) | − | 92.8222i | − | 3.59949i | ||||||
\(666\) | 3.17757 | − | 11.1211i | 0.123128 | − | 0.430935i | ||||
\(667\) | 21.0744 | − | 21.0744i | 0.816003 | − | 0.816003i | ||||
\(668\) | 3.21978 | − | 5.17445i | 0.124577 | − | 0.200205i | ||||
\(669\) | 0.790415 | + | 0.790415i | 0.0305592 | + | 0.0305592i | ||||
\(670\) | −31.2942 | − | 56.3308i | −1.20900 | − | 2.17625i | ||||
\(671\) | 0.286928i | 0.0110767i | ||||||||
\(672\) | 0.473075 | + | 2.61080i | 0.0182493 | + | 0.100714i | ||||
\(673\) | 9.22415i | 0.355565i | 0.984070 | + | 0.177782i | \(0.0568923\pi\) | ||||
−0.984070 | + | 0.177782i | \(0.943108\pi\) | |||||||
\(674\) | 38.9131 | − | 21.6179i | 1.49888 | − | 0.832692i | ||||
\(675\) | 4.21266 | + | 4.21266i | 0.162146 | + | 0.162146i | ||||
\(676\) | −3.18461 | − | 1.98161i | −0.122485 | − | 0.0762159i | ||||
\(677\) | −2.33313 | − | 2.33313i | −0.0896695 | − | 0.0896695i | 0.660849 | − | 0.750519i | \(-0.270196\pi\) |
−0.750519 | + | 0.660849i | \(0.770196\pi\) | |||||||
\(678\) | 0.174793 | + | 0.0499424i | 0.00671287 | + | 0.00191803i | ||||
\(679\) | 56.3469i | 2.16240i | ||||||||
\(680\) | −22.3929 | − | 24.7286i | −0.858727 | − | 0.948297i | ||||
\(681\) | 2.09112i | 0.0801320i | ||||||||
\(682\) | −4.67621 | + | 16.3662i | −0.179061 | + | 0.626694i | ||||
\(683\) | 27.3312 | − | 27.3312i | 1.04580 | − | 1.04580i | 0.0469005 | − | 0.998900i | \(-0.485066\pi\) |
0.998900 | − | 0.0469005i | \(-0.0149344\pi\) | |||||||
\(684\) | −6.90318 | − | 29.6454i | −0.263950 | − | 1.13352i | ||||
\(685\) | 6.46426 | + | 6.46426i | 0.246987 | + | 0.246987i | ||||
\(686\) | −47.6855 | + | 26.4914i | −1.82064 | + | 1.01145i | ||||
\(687\) | 1.48304 | 0.0565816 | ||||||||
\(688\) | −5.94961 | + | 17.4933i | −0.226827 | + | 0.666925i | ||||
\(689\) | −34.8676 | −1.32835 | ||||||||
\(690\) | −1.44252 | + | 0.801386i | −0.0549159 | + | 0.0305082i | ||||
\(691\) | 22.6749 | + | 22.6749i | 0.862592 | + | 0.862592i | 0.991639 | − | 0.129046i | \(-0.0411916\pi\) |
−0.129046 | + | 0.991639i | \(0.541192\pi\) | |||||||
\(692\) | −10.9468 | − | 47.0107i | −0.416137 | − | 1.78708i | ||||
\(693\) | 20.2640 | + | 20.2640i | 0.769767 | + | 0.769767i | ||||
\(694\) | −5.41666 | + | 18.9577i | −0.205614 | + | 0.719624i | ||||
\(695\) | − | 50.5788i | − | 1.91856i | ||||||
\(696\) | 2.76973 | + | 0.137289i | 0.104987 | + | 0.00520393i | ||||
\(697\) | −7.86193 | + | 17.8534i | −0.297792 | + | 0.676244i | ||||
\(698\) | 6.16418 | − | 21.5739i | 0.233318 | − | 0.816585i | ||||
\(699\) | 0.822438 | + | 0.822438i | 0.0311074 | + | 0.0311074i | ||||
\(700\) | 79.8947 | + | 49.7142i | 3.01974 | + | 1.87902i | ||||
\(701\) | −9.76487 | + | 9.76487i | −0.368814 | + | 0.368814i | −0.867045 | − | 0.498231i | \(-0.833983\pi\) |
0.498231 | + | 0.867045i | \(0.333983\pi\) | |||||||
\(702\) | 2.45941 | − | 1.36631i | 0.0928243 | − | 0.0515680i | ||||
\(703\) | − | 13.9220i | − | 0.525078i | ||||||
\(704\) | 12.5916 | − | 10.3151i | 0.474563 | − | 0.388766i | ||||
\(705\) | −0.444204 | −0.0167297 | ||||||||
\(706\) | 3.84649 | − | 2.13690i | 0.144765 | − | 0.0804231i | ||||
\(707\) | 13.4794 | − | 13.4794i | 0.506946 | − | 0.506946i | ||||
\(708\) | 0.959337 | + | 0.596944i | 0.0360541 | + | 0.0224345i | ||||
\(709\) | −12.9000 | + | 12.9000i | −0.484469 | + | 0.484469i | −0.906555 | − | 0.422087i | \(-0.861298\pi\) |
0.422087 | + | 0.906555i | \(0.361298\pi\) | |||||||
\(710\) | 43.5932 | + | 12.4556i | 1.63602 | + | 0.467451i | ||||
\(711\) | −5.91007 | −0.221645 | ||||||||
\(712\) | −0.969273 | + | 19.5546i | −0.0363250 | + | 0.732839i | ||||
\(713\) | − | 17.9050i | − | 0.670546i | ||||||
\(714\) | −0.555201 | + | 1.94314i | −0.0207779 | + | 0.0727201i | ||||
\(715\) | −18.5778 | − | 18.5778i | −0.694771 | − | 0.694771i | ||||
\(716\) | −31.2685 | + | 7.28114i | −1.16856 | + | 0.272109i | ||||
\(717\) | 0.0492579 | − | 0.0492579i | 0.00183957 | − | 0.00183957i | ||||
\(718\) | −0.145748 | − | 0.262351i | −0.00543925 | − | 0.00979085i | ||||
\(719\) | 22.3200i | 0.832396i | 0.909274 | + | 0.416198i | \(0.136638\pi\) | ||||
−0.909274 | + | 0.416198i | \(0.863362\pi\) | |||||||
\(720\) | 43.8380 | + | 14.9097i | 1.63375 | + | 0.555650i | ||||
\(721\) | − | 68.7679i | − | 2.56105i | ||||||
\(722\) | −4.74382 | − | 8.53905i | −0.176547 | − | 0.317791i | ||||
\(723\) | 0.175148 | + | 0.175148i | 0.00651381 | + | 0.00651381i | ||||
\(724\) | −10.2609 | − | 44.0650i | −0.381344 | − | 1.63766i | ||||
\(725\) | 69.5430 | − | 69.5430i | 2.58276 | − | 2.58276i | ||||
\(726\) | 0.265401 | − | 0.928873i | 0.00984996 | − | 0.0344737i | ||||
\(727\) | −20.4359 | −0.757925 | −0.378963 | − | 0.925412i | \(-0.623719\pi\) | ||||
−0.378963 | + | 0.925412i | \(0.623719\pi\) | |||||||
\(728\) | 32.9394 | − | 29.8281i | 1.22081 | − | 1.10550i | ||||
\(729\) | 26.4661i | 0.980224i | ||||||||
\(730\) | 10.8904 | − | 38.1152i | 0.403073 | − | 1.41071i | ||||
\(731\) | −9.95131 | + | 9.95131i | −0.368063 | + | 0.368063i | ||||
\(732\) | 0.0148372 | − | 0.0238446i | 0.000548400 | − | 0.000881323i | ||||
\(733\) | −13.3183 | + | 13.3183i | −0.491924 | + | 0.491924i | −0.908912 | − | 0.416988i | \(-0.863086\pi\) |
0.416988 | + | 0.908912i | \(0.363086\pi\) | |||||||
\(734\) | 7.26185 | − | 4.03428i | 0.268040 | − | 0.148908i | ||||
\(735\) | − | 5.85523i | − | 0.215973i | ||||||
\(736\) | −9.75473 | + | 14.0721i | −0.359564 | + | 0.518706i | ||||
\(737\) | 23.9472 | 0.882107 | ||||||||
\(738\) | −2.49507 | − | 26.9612i | −0.0918447 | − | 0.992454i | ||||
\(739\) | 36.6360 | − | 36.6360i | 1.34768 | − | 1.34768i | 0.459495 | − | 0.888180i | \(-0.348030\pi\) |
0.888180 | − | 0.459495i | \(-0.151970\pi\) | |||||||
\(740\) | 17.9816 | + | 11.1890i | 0.661018 | + | 0.411316i | ||||
\(741\) | 1.19532 | − | 1.19532i | 0.0439114 | − | 0.0439114i | ||||
\(742\) | −19.1322 | + | 66.9605i | −0.702366 | + | 2.45820i | ||||
\(743\) | − | 0.858457i | − | 0.0314937i | −0.999876 | − | 0.0157469i | \(-0.994987\pi\) | ||
0.999876 | − | 0.0157469i | \(-0.00501259\pi\) | |||||||
\(744\) | 1.23492 | − | 1.11827i | 0.0452742 | − | 0.0409979i | ||||
\(745\) | 43.7193 | 1.60175 | ||||||||
\(746\) | −9.70040 | − | 2.77163i | −0.355157 | − | 0.101477i | ||||
\(747\) | 19.4628 | + | 19.4628i | 0.712105 | + | 0.712105i | ||||
\(748\) | 12.0746 | − | 2.81166i | 0.441489 | − | 0.102804i | ||||
\(749\) | 23.5479 | + | 23.5479i | 0.860422 | + | 0.860422i | ||||
\(750\) | −2.37729 | + | 1.32069i | −0.0868062 | + | 0.0482247i | ||||
\(751\) | 49.1830i | 1.79471i | 0.441307 | + | 0.897356i | \(0.354515\pi\) | ||||
−0.441307 | + | 0.897356i | \(0.645485\pi\) | |||||||
\(752\) | −4.13499 | + | 2.03614i | −0.150788 | + | 0.0742504i | ||||
\(753\) | 1.95183i | 0.0711287i | ||||||||
\(754\) | −22.5551 | − | 40.6000i | −0.821409 | − | 1.47857i | ||||
\(755\) | −21.1590 | − | 21.1590i | −0.770054 | − | 0.770054i | ||||
\(756\) | −1.27439 | − | 5.47282i | −0.0463491 | − | 0.199044i | ||||
\(757\) | −8.07533 | + | 8.07533i | −0.293503 | + | 0.293503i | −0.838462 | − | 0.544960i | \(-0.816545\pi\) |
0.544960 | + | 0.838462i | \(0.316545\pi\) | |||||||
\(758\) | −20.7247 | − | 5.92152i | −0.752753 | − | 0.215079i | ||||
\(759\) | − | 0.613243i | − | 0.0222593i | ||||||
\(760\) | 55.6671 | + | 2.75928i | 2.01926 | + | 0.100090i | ||||
\(761\) | 46.3426i | 1.67992i | 0.542650 | + | 0.839959i | \(0.317421\pi\) | ||||
−0.542650 | + | 0.839959i | \(0.682579\pi\) | |||||||
\(762\) | 1.89876 | + | 0.542522i | 0.0687850 | + | 0.0196535i | ||||
\(763\) | −13.9328 | − | 13.9328i | −0.504401 | − | 0.504401i | ||||
\(764\) | 1.78189 | + | 1.10877i | 0.0644664 | + | 0.0401140i | ||||
\(765\) | 24.9379 | + | 24.9379i | 0.901632 | + | 0.901632i | ||||
\(766\) | −1.93233 | − | 3.47826i | −0.0698178 | − | 0.125675i | ||||
\(767\) | − | 18.9236i | − | 0.683291i | ||||||
\(768\) | −1.57981 | + | 0.206101i | −0.0570063 | + | 0.00743704i | ||||
\(769\) | −52.2460 | −1.88404 | −0.942019 | − | 0.335559i | \(-0.891075\pi\) | ||||
−0.942019 | + | 0.335559i | \(0.891075\pi\) | |||||||
\(770\) | −45.8712 | + | 25.4835i | −1.65308 | + | 0.918361i | ||||
\(771\) | 1.45143 | − | 1.45143i | 0.0522721 | − | 0.0522721i | ||||
\(772\) | −30.4363 | − | 18.9389i | −1.09543 | − | 0.681626i | ||||
\(773\) | 3.92641 | − | 3.92641i | 0.141223 | − | 0.141223i | −0.632961 | − | 0.774184i | \(-0.718161\pi\) |
0.774184 | + | 0.632961i | \(0.218161\pi\) | |||||||
\(774\) | 5.36641 | − | 18.7818i | 0.192892 | − | 0.675098i | ||||
\(775\) | − | 59.0843i | − | 2.12237i | ||||||
\(776\) | −33.7922 | − | 1.67500i | −1.21307 | − | 0.0601289i | ||||
\(777\) | − | 1.28294i | − | 0.0460251i | ||||||
\(778\) | 16.4694 | + | 4.70571i | 0.590458 | + | 0.168708i | ||||
\(779\) | −11.8034 | − | 30.3789i | −0.422901 | − | 1.08844i | ||||
\(780\) | 0.583206 | + | 2.50455i | 0.0208821 | + | 0.0896774i | ||||
\(781\) | −11.9137 | + | 11.9137i | −0.426305 | + | 0.426305i | ||||
\(782\) | −11.4002 | + | 6.33334i | −0.407672 | + | 0.226480i | ||||
\(783\) | −5.87299 | −0.209883 | ||||||||
\(784\) | −26.8392 | − | 54.5050i | −0.958542 | − | 1.94661i | ||||
\(785\) | 8.85945i | 0.316207i | ||||||||
\(786\) | 0.729560 | − | 0.405303i | 0.0260226 | − | 0.0144567i | ||||
\(787\) | 21.9067 | − | 21.9067i | 0.780889 | − | 0.780889i | −0.199092 | − | 0.979981i | \(-0.563799\pi\) |
0.979981 | + | 0.199092i | \(0.0637991\pi\) | |||||||
\(788\) | 31.3415 | − | 7.29813i | 1.11649 | − | 0.259985i | ||||
\(789\) | −1.56061 | − | 1.56061i | −0.0555591 | − | 0.0555591i | ||||
\(790\) | 2.97307 | − | 10.4054i | 0.105777 | − | 0.370207i | ||||
\(791\) | −6.08088 | −0.216211 | ||||||||
\(792\) | −12.7551 | + | 11.5503i | −0.453232 | + | 0.410423i | ||||
\(793\) | −0.470352 | −0.0167027 | ||||||||
\(794\) | −9.24990 | − | 2.64292i | −0.328267 | − | 0.0937936i | ||||
\(795\) | −2.84963 | − | 2.84963i | −0.101066 | − | 0.101066i | ||||
\(796\) | 15.6372 | − | 25.1302i | 0.554245 | − | 0.890716i | ||||
\(797\) | −8.01917 | + | 8.01917i | −0.284053 | + | 0.284053i | −0.834723 | − | 0.550670i | \(-0.814372\pi\) |
0.550670 | + | 0.834723i | \(0.314372\pi\) | |||||||
\(798\) | −1.63964 | − | 2.95142i | −0.0580428 | − | 0.104479i | ||||
\(799\) | −3.51054 | −0.124194 | ||||||||
\(800\) | −32.1895 | + | 46.4364i | −1.13807 | + | 1.64177i | ||||
\(801\) | − | 20.6976i | − | 0.731314i | ||||||
\(802\) | −13.5731 | + | 7.54048i | −0.479284 | + | 0.266264i | ||||
\(803\) | 10.4166 | + | 10.4166i | 0.367594 | + | 0.367594i | ||||
\(804\) | −1.99009 | − | 1.23833i | −0.0701852 | − | 0.0436725i | ||||
\(805\) | 39.0318 | − | 39.0318i | 1.37569 | − | 1.37569i | ||||
\(806\) | −26.8286 | − | 7.66556i | −0.944997 | − | 0.270008i | ||||
\(807\) | 0.591217 | 0.0208118 | ||||||||
\(808\) | 7.68315 | + | 8.48454i | 0.270292 | + | 0.298485i | ||||
\(809\) | −32.4257 | −1.14003 | −0.570014 | − | 0.821635i | \(-0.693062\pi\) | ||||
−0.570014 | + | 0.821635i | \(0.693062\pi\) | |||||||
\(810\) | −46.9104 | − | 13.4034i | −1.64827 | − | 0.470948i | ||||
\(811\) | 14.7225 | + | 14.7225i | 0.516976 | + | 0.516976i | 0.916655 | − | 0.399679i | \(-0.130878\pi\) |
−0.399679 | + | 0.916655i | \(0.630878\pi\) | |||||||
\(812\) | −90.3456 | + | 21.0377i | −3.17051 | + | 0.738279i | ||||
\(813\) | 1.19675 | + | 1.19675i | 0.0419719 | + | 0.0419719i | ||||
\(814\) | −6.88002 | + | 3.82216i | −0.241145 | + | 0.133966i | ||||
\(815\) | 85.7465 | 3.00357 | ||||||||
\(816\) | −1.14883 | − | 0.390726i | −0.0402171 | − | 0.0136781i | ||||
\(817\) | − | 23.5120i | − | 0.822582i | ||||||
\(818\) | 14.1782 | + | 25.5213i | 0.495729 | + | 0.892331i | ||||
\(819\) | −33.2182 | + | 33.2182i | −1.16074 | + | 1.16074i | ||||
\(820\) | 48.7236 | + | 9.16999i | 1.70150 | + | 0.320230i | ||||
\(821\) | 19.3097 | + | 19.3097i | 0.673913 | + | 0.673913i | 0.958616 | − | 0.284702i | \(-0.0918948\pi\) |
−0.284702 | + | 0.958616i | \(0.591895\pi\) | |||||||
\(822\) | 0.319728 | + | 0.0913539i | 0.0111518 | + | 0.00318633i | ||||
\(823\) | 1.28660 | 0.0448480 | 0.0224240 | − | 0.999749i | \(-0.492862\pi\) | ||||
0.0224240 | + | 0.999749i | \(0.492862\pi\) | |||||||
\(824\) | 41.2413 | + | 2.04423i | 1.43671 | + | 0.0712141i | ||||
\(825\) | − | 2.02363i | − | 0.0704537i | ||||||
\(826\) | −36.3413 | − | 10.3836i | −1.26448 | − | 0.361291i | ||||
\(827\) | 12.8129 | − | 12.8129i | 0.445547 | − | 0.445547i | −0.448324 | − | 0.893871i | \(-0.647979\pi\) |
0.893871 | + | 0.448324i | \(0.147979\pi\) | |||||||
\(828\) | 9.56313 | − | 15.3687i | 0.332342 | − | 0.534100i | ||||
\(829\) | 17.6124 | − | 17.6124i | 0.611706 | − | 0.611706i | −0.331685 | − | 0.943390i | \(-0.607617\pi\) |
0.943390 | + | 0.331685i | \(0.107617\pi\) | |||||||
\(830\) | −44.0574 | + | 24.4758i | −1.52925 | + | 0.849568i | ||||
\(831\) | − | 0.616458i | − | 0.0213847i | ||||||
\(832\) | 16.9093 | + | 20.6410i | 0.586224 | + | 0.715598i | ||||
\(833\) | − | 46.2738i | − | 1.60329i | ||||||
\(834\) | −0.893441 | − | 1.60823i | −0.0309373 | − | 0.0556884i | ||||
\(835\) | −8.34186 | − | 8.34186i | −0.288682 | − | 0.288682i | ||||
\(836\) | −10.9428 | + | 17.5859i | −0.378463 | + | 0.608221i | ||||
\(837\) | −2.49487 | + | 2.49487i | −0.0862353 | + | 0.0862353i | ||||
\(838\) | −10.6231 | + | 37.1795i | −0.366967 | + | 1.28434i | ||||
\(839\) | 22.8823 | 0.789984 | 0.394992 | − | 0.918685i | \(-0.370747\pi\) | ||||
0.394992 | + | 0.918685i | \(0.370747\pi\) | |||||||
\(840\) | 5.12982 | + | 0.254273i | 0.176996 | + | 0.00877324i | ||||
\(841\) | 67.9517i | 2.34316i | ||||||||
\(842\) | 0.382449 | − | 1.33853i | 0.0131800 | − | 0.0461286i | ||||
\(843\) | 1.89647 | + | 1.89647i | 0.0653179 | + | 0.0653179i | ||||
\(844\) | 41.0531 | − | 9.55955i | 1.41311 | − | 0.329053i | ||||
\(845\) | −5.13399 | + | 5.13399i | −0.176615 | + | 0.176615i | ||||
\(846\) | 4.25940 | − | 2.36629i | 0.146441 | − | 0.0813546i | ||||
\(847\) | 32.3147i | 1.11035i | ||||||||
\(848\) | −39.5887 | − | 13.4644i | −1.35948 | − | 0.462370i | ||||
\(849\) | − | 1.35822i | − | 0.0466141i | ||||||
\(850\) | −37.6195 | + | 20.8993i | −1.29034 | + | 0.716839i | ||||
\(851\) | 5.85421 | − | 5.85421i | 0.200680 | − | 0.200680i | ||||
\(852\) | 1.60613 | − | 0.374001i | 0.0550252 | − | 0.0128131i | ||||
\(853\) | 10.4176 | + | 10.4176i | 0.356693 | + | 0.356693i | 0.862592 | − | 0.505900i | \(-0.168839\pi\) |
−0.505900 | + | 0.862592i | \(0.668839\pi\) | |||||||
\(854\) | −0.258087 | + | 0.903275i | −0.00883156 | + | 0.0309094i | ||||
\(855\) | −58.9209 | −2.01505 | ||||||||
\(856\) | −14.8221 | + | 13.4221i | −0.506609 | + | 0.458758i | ||||
\(857\) | 41.0643i | 1.40273i | 0.712803 | + | 0.701365i | \(0.247426\pi\) | ||||
−0.712803 | + | 0.701365i | \(0.752574\pi\) | |||||||
\(858\) | −0.918875 | − | 0.262544i | −0.0313699 | − | 0.00896312i | ||||
\(859\) | −16.5694 | − | 16.5694i | −0.565342 | − | 0.565342i | 0.365478 | − | 0.930820i | \(-0.380906\pi\) |
−0.930820 | + | 0.365478i | \(0.880906\pi\) | |||||||
\(860\) | 30.3681 | + | 18.8964i | 1.03554 | + | 0.644363i | ||||
\(861\) | −1.08771 | − | 2.79947i | −0.0370689 | − | 0.0954055i | ||||
\(862\) | 41.8257 | − | 23.2360i | 1.42459 | − | 0.791422i | ||||
\(863\) | −19.3794 | −0.659682 | −0.329841 | − | 0.944037i | \(-0.606995\pi\) | ||||
−0.329841 | + | 0.944037i | \(0.606995\pi\) | |||||||
\(864\) | 3.32002 | − | 0.601586i | 0.112950 | − | 0.0204664i | ||||
\(865\) | −93.4349 | −3.17688 | ||||||||
\(866\) | −0.419939 | + | 0.233294i | −0.0142701 | + | 0.00792767i | ||||
\(867\) | 0.543439 | + | 0.543439i | 0.0184562 | + | 0.0184562i | ||||
\(868\) | −29.4423 | + | 47.3161i | −0.999336 | + | 1.60601i | ||||
\(869\) | 2.84371 | + | 2.84371i | 0.0964664 | + | 0.0964664i | ||||
\(870\) | 1.47476 | − | 5.16150i | 0.0499991 | − | 0.174991i | ||||
\(871\) | 39.2559i | 1.33014i | ||||||||
\(872\) | 8.76990 | − | 7.94156i | 0.296986 | − | 0.268935i | ||||
\(873\) | 35.7675 | 1.21055 | ||||||||
\(874\) | 5.98581 | − | 20.9496i | 0.202473 | − | 0.708632i | ||||
\(875\) | 64.3246 | − | 64.3246i | 2.17457 | − | 2.17457i | ||||
\(876\) | −0.327004 | − | 1.40430i | −0.0110484 | − | 0.0474470i | ||||
\(877\) | 33.5501 | − | 33.5501i | 1.13291 | − | 1.13291i | 0.143216 | − | 0.989691i | \(-0.454256\pi\) |
0.989691 | − | 0.143216i | \(-0.0457445\pi\) | |||||||
\(878\) | −22.5117 | + | 12.5062i | −0.759732 | + | 0.422064i | ||||
\(879\) | 1.58604 | 0.0534957 | ||||||||
\(880\) | −13.9193 | − | 28.2673i | −0.469219 | − | 0.952890i | ||||
\(881\) | −8.01509 | −0.270035 | −0.135018 | − | 0.990843i | \(-0.543109\pi\) | ||||
−0.135018 | + | 0.990843i | \(0.543109\pi\) | |||||||
\(882\) | 31.1910 | + | 56.1449i | 1.05025 | + | 1.89050i | ||||
\(883\) | −28.3495 | − | 28.3495i | −0.954036 | − | 0.954036i | 0.0449536 | − | 0.998989i | \(-0.485686\pi\) |
−0.998989 | + | 0.0449536i | \(0.985686\pi\) | |||||||
\(884\) | 4.60907 | + | 19.7934i | 0.155020 | + | 0.665726i | ||||
\(885\) | 1.54657 | − | 1.54657i | 0.0519875 | − | 0.0519875i | ||||
\(886\) | 18.1009 | + | 5.17185i | 0.608111 | + | 0.173752i | ||||
\(887\) | −35.1332 | −1.17966 | −0.589828 | − | 0.807529i | \(-0.700805\pi\) | ||||
−0.589828 | + | 0.807529i | \(0.700805\pi\) | |||||||
\(888\) | 0.769399 | + | 0.0381372i | 0.0258193 | + | 0.00127980i | ||||
\(889\) | −66.0563 | −2.21546 | ||||||||
\(890\) | 36.4407 | + | 10.4120i | 1.22149 | + | 0.349010i | ||||
\(891\) | 12.8203 | − | 12.8203i | 0.429495 | − | 0.429495i | ||||
\(892\) | 11.8617 | − | 19.0627i | 0.397159 | − | 0.638266i | ||||
\(893\) | 4.14719 | − | 4.14719i | 0.138780 | − | 0.138780i | ||||
\(894\) | 1.39012 | − | 0.772273i | 0.0464925 | − | 0.0258287i | ||||
\(895\) | 62.1469i | 2.07734i | ||||||||
\(896\) | 48.9178 | − | 21.1471i | 1.63423 | − | 0.706474i | ||||
\(897\) | 1.00527 | 0.0335650 | ||||||||
\(898\) | 29.4845 | − | 16.3799i | 0.983911 | − | 0.546606i | ||||
\(899\) | 41.1855 | + | 41.1855i | 1.37361 | + | 1.37361i | ||||
\(900\) | 31.5572 | − | 50.7149i | 1.05191 | − | 1.69050i | ||||
\(901\) | −22.5206 | − | 22.5206i | −0.750270 | − | 0.750270i | ||||
\(902\) | −11.7722 | + | 14.1733i | −0.391972 | + | 0.471919i | ||||
\(903\) | − | 2.16668i | − | 0.0721025i | ||||||
\(904\) | 0.180763 | − | 3.64681i | 0.00601210 | − | 0.121291i | ||||
\(905\) | −87.5802 | −2.91127 | ||||||||
\(906\) | −1.04654 | − | 0.299022i | −0.0347690 | − | 0.00993433i | ||||
\(907\) | −6.18630 | − | 6.18630i | −0.205413 | − | 0.205413i | 0.596902 | − | 0.802314i | \(-0.296398\pi\) |
−0.802314 | + | 0.596902i | \(0.796398\pi\) | |||||||
\(908\) | 40.9067 | − | 9.52547i | 1.35754 | − | 0.316114i | ||||
\(909\) | −8.55637 | − | 8.55637i | −0.283797 | − | 0.283797i | ||||
\(910\) | −41.7743 | − | 75.1952i | −1.38480 | − | 2.49270i | ||||
\(911\) | −40.2462 | −1.33341 | −0.666707 | − | 0.745320i | \(-0.732297\pi\) | ||||
−0.666707 | + | 0.745320i | \(0.732297\pi\) | |||||||
\(912\) | 1.81876 | − | 0.895587i | 0.0602251 | − | 0.0296559i | ||||
\(913\) | − | 18.7296i | − | 0.619859i | ||||||
\(914\) | 15.9779 | − | 8.87645i | 0.528503 | − | 0.293607i | ||||
\(915\) | −0.0384406 | − | 0.0384406i | −0.00127081 | − | 0.00127081i | ||||
\(916\) | −6.75555 | − | 29.0114i | −0.223210 | − | 0.958565i | ||||
\(917\) | −19.7404 | + | 19.7404i | −0.651887 | + | 0.651887i | ||||
\(918\) | 2.47099 | + | 0.706020i | 0.0815548 | + | 0.0233021i | ||||
\(919\) | −47.7456 | −1.57498 | −0.787492 | − | 0.616325i | \(-0.788621\pi\) | ||||
−0.787492 | + | 0.616325i | \(0.788621\pi\) | |||||||
\(920\) | 22.2478 | + | 24.5683i | 0.733487 | + | 0.809993i | ||||
\(921\) | −0.756745 | −0.0249356 | ||||||||
\(922\) | −12.8940 | + | 45.1277i | −0.424643 | + | 1.48620i | ||||
\(923\) | −19.5297 | − | 19.5297i | −0.642829 | − | 0.642829i | ||||
\(924\) | −1.00839 | + | 1.62057i | −0.0331737 | + | 0.0533129i | ||||
\(925\) | 19.3182 | − | 19.3182i | 0.635179 | − | 0.635179i | ||||
\(926\) | 22.4685 | + | 40.4441i | 0.738359 | + | 1.32907i | ||||
\(927\) | −43.6519 | −1.43372 | ||||||||
\(928\) | −9.93102 | − | 54.8072i | −0.326002 | − | 1.79913i | ||||
\(929\) | 48.8168i | 1.60163i | 0.598913 | + | 0.800814i | \(0.295599\pi\) | ||||
−0.598913 | + | 0.800814i | \(0.704401\pi\) | |||||||
\(930\) | −1.56614 | − | 2.81911i | −0.0513558 | − | 0.0924424i | ||||
\(931\) | 54.6657 | + | 54.6657i | 1.79160 | + | 1.79160i | ||||
\(932\) | 12.3422 | − | 19.8350i | 0.404283 | − | 0.649716i | ||||
\(933\) | 0.432408 | + | 0.432408i | 0.0141564 | + | 0.0141564i | ||||
\(934\) | 10.6553 | − | 37.2925i | 0.348654 | − | 1.22025i | ||||
\(935\) | − | 23.9985i | − | 0.784833i | ||||||
\(936\) | −18.9341 | − | 20.9090i | −0.618880 | − | 0.683432i | ||||
\(937\) | −14.8391 | −0.484771 | −0.242386 | − | 0.970180i | \(-0.577930\pi\) | ||||
−0.242386 | + | 0.970180i | \(0.577930\pi\) | |||||||
\(938\) | 75.3881 | + | 21.5402i | 2.46151 | + | 0.703312i | ||||
\(939\) | 1.76097 | + | 1.76097i | 0.0574671 | + | 0.0574671i | ||||
\(940\) | 2.02344 | + | 8.68957i | 0.0659973 | + | 0.283422i | ||||
\(941\) | 8.72401 | − | 8.72401i | 0.284394 | − | 0.284394i | −0.550464 | − | 0.834859i | \(-0.685549\pi\) |
0.834859 | + | 0.550464i | \(0.185549\pi\) | |||||||
\(942\) | 0.156496 | + | 0.281699i | 0.00509893 | + | 0.00917826i | ||||
\(943\) | 7.81099 | − | 17.7377i | 0.254361 | − | 0.577618i | ||||
\(944\) | 7.30751 | − | 21.4858i | 0.237839 | − | 0.699305i | ||||
\(945\) | −10.8773 | −0.353840 | ||||||||
\(946\) | −11.6193 | + | 6.45501i | −0.377775 | + | 0.209871i | ||||
\(947\) | 29.1775 | − | 29.1775i | 0.948142 | − | 0.948142i | −0.0505780 | − | 0.998720i | \(-0.516106\pi\) |
0.998720 | + | 0.0505780i | \(0.0161064\pi\) | |||||||
\(948\) | −0.0892715 | − | 0.383373i | −0.00289940 | − | 0.0124514i | ||||
\(949\) | −17.0756 | + | 17.0756i | −0.554297 | + | 0.554297i | ||||
\(950\) | 19.7525 | − | 69.1313i | 0.640855 | − | 2.24292i | ||||
\(951\) | 2.16681i | 0.0702636i | ||||||||
\(952\) | 40.5409 | + | 2.00951i | 1.31394 | + | 0.0651287i | ||||
\(953\) | − | 49.5713i | − | 1.60577i | −0.596134 | − | 0.802885i | \(-0.703297\pi\) | ||
0.596134 | − | 0.802885i | \(-0.296703\pi\) | |||||||
\(954\) | 42.5047 | + | 12.1446i | 1.37614 | + | 0.393196i | ||||
\(955\) | 2.87262 | − | 2.87262i | 0.0929559 | − | 0.0929559i | ||||
\(956\) | −1.18797 | − | 0.739208i | −0.0384216 | − | 0.0239077i | ||||
\(957\) | 1.41060 | + | 1.41060i | 0.0455981 | + | 0.0455981i | ||||
\(958\) | −6.23606 | − | 11.2251i | −0.201478 | − | 0.362668i | ||||
\(959\) | −11.1230 | −0.359182 | ||||||||
\(960\) | −0.304983 | + | 3.06888i | −0.00984329 | + | 0.0990477i | ||||
\(961\) | 3.99154 | 0.128759 | ||||||||
\(962\) | −6.26554 | − | 11.2782i | −0.202009 | − | 0.363624i | ||||
\(963\) | 14.9476 | − | 14.9476i | 0.481679 | − | 0.481679i | ||||
\(964\) | 2.62842 | − | 4.22408i | 0.0846558 | − | 0.136049i | ||||
\(965\) | −49.0672 | + | 49.0672i | −1.57953 | + | 1.57953i | ||||
\(966\) | 0.551603 | − | 1.93055i | 0.0177475 | − | 0.0621143i | ||||
\(967\) | −0.508338 | −0.0163471 | −0.00817353 | − | 0.999967i | \(-0.502602\pi\) | ||||
−0.00817353 | + | 0.999967i | \(0.502602\pi\) | |||||||
\(968\) | −19.3797 | − | 0.960603i | −0.622886 | − | 0.0308749i | ||||
\(969\) | 1.54410 | 0.0496035 | ||||||||
\(970\) | −17.9929 | + | 62.9730i | −0.577717 | + | 2.02194i | ||||
\(971\) | −8.49971 | + | 8.49971i | −0.272769 | + | 0.272769i | −0.830214 | − | 0.557445i | \(-0.811782\pi\) |
0.557445 | + | 0.830214i | \(0.311782\pi\) | |||||||
\(972\) | −5.21386 | + | 1.21409i | −0.167235 | + | 0.0389420i | ||||
\(973\) | 43.5154 | + | 43.5154i | 1.39504 | + | 1.39504i | ||||
\(974\) | 1.54432 | + | 2.77984i | 0.0494833 | + | 0.0890718i | ||||
\(975\) | 3.31727 | 0.106238 | ||||||||
\(976\) | −0.534038 | − | 0.181631i | −0.0170941 | − | 0.00581385i | ||||
\(977\) | − | 59.5087i | − | 1.90385i | −0.306326 | − | 0.951927i | \(-0.599100\pi\) | ||
0.306326 | − | 0.951927i | \(-0.400900\pi\) | |||||||
\(978\) | 2.72644 | − | 1.51466i | 0.0871818 | − | 0.0484334i | ||||
\(979\) | −9.95895 | + | 9.95895i | −0.318289 | + | 0.318289i | ||||
\(980\) | −114.541 | + | 26.6717i | −3.65887 | + | 0.851997i | ||||
\(981\) | −8.84414 | + | 8.84414i | −0.282372 | + | 0.282372i | ||||
\(982\) | −5.92005 | − | 1.69150i | −0.188916 | − | 0.0539779i | ||||
\(983\) | − | 35.7231i | − | 1.13939i | −0.821857 | − | 0.569694i | \(-0.807062\pi\) | ||
0.821857 | − | 0.569694i | \(-0.192938\pi\) | |||||||
\(984\) | 1.71122 | − | 0.569097i | 0.0545517 | − | 0.0181422i | ||||
\(985\) | − | 62.2919i | − | 1.98479i | ||||||
\(986\) | 11.6550 | − | 40.7913i | 0.371172 | − | 1.29906i | ||||
\(987\) | 0.382171 | − | 0.382171i | 0.0121646 | − | 0.0121646i | ||||
\(988\) | −28.8280 | − | 17.9381i | −0.917141 | − | 0.570688i | ||||
\(989\) | 9.88682 | − | 9.88682i | 0.314383 | − | 0.314383i | ||||
\(990\) | 16.1762 | + | 29.1178i | 0.514113 | + | 0.925423i | ||||
\(991\) | 13.4834i | 0.428314i | 0.976799 | + | 0.214157i | \(0.0687003\pi\) | ||||
−0.976799 | + | 0.214157i | \(0.931300\pi\) | |||||||
\(992\) | −27.5011 | − | 19.0636i | −0.873160 | − | 0.605270i | ||||
\(993\) | 2.03200 | 0.0644836 | ||||||||
\(994\) | −48.2216 | + | 26.7892i | −1.52950 | + | 0.849702i | ||||
\(995\) | −40.5130 | − | 40.5130i | −1.28435 | − | 1.28435i | ||||
\(996\) | −0.968521 | + | 1.55649i | −0.0306887 | + | 0.0493193i | ||||
\(997\) | −29.3779 | + | 29.3779i | −0.930407 | + | 0.930407i | −0.997731 | − | 0.0673241i | \(-0.978554\pi\) |
0.0673241 | + | 0.997731i | \(0.478554\pi\) | |||||||
\(998\) | 23.8244 | + | 6.80719i | 0.754147 | + | 0.215478i | ||||
\(999\) | −1.63145 | −0.0516167 |
(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 | 656.2.o.a.245.14 | yes | 164 | |
16.13 | even | 4 | inner | 656.2.o.a.573.13 | yes | 164 | |
41.40 | even | 2 | inner | 656.2.o.a.245.13 | ✓ | 164 | |
656.573 | even | 4 | inner | 656.2.o.a.573.14 | yes | 164 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
656.2.o.a.245.13 | ✓ | 164 | 41.40 | even | 2 | inner | |
656.2.o.a.245.14 | yes | 164 | 1.1 | even | 1 | trivial | |
656.2.o.a.573.13 | yes | 164 | 16.13 | even | 4 | inner | |
656.2.o.a.573.14 | yes | 164 | 656.573 | even | 4 | inner |