Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(137,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 8, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.137");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.ch (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(152\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 401.12 | ||
Character | \(\chi\) | \(=\) | 546.401 |
Dual form | 546.2.ch.a.305.12 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) | \(e\left(\frac{7}{12}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.707107 | + | 0.707107i | −0.500000 | + | 0.500000i | ||||
\(3\) | 0.863822 | + | 1.50127i | 0.498728 | + | 0.866759i | ||||
\(4\) | − | 1.00000i | − | 0.500000i | ||||||
\(5\) | 0.852470 | + | 3.18146i | 0.381236 | + | 1.42279i | 0.844015 | + | 0.536319i | \(0.180186\pi\) |
−0.462779 | + | 0.886474i | \(0.653148\pi\) | |||||||
\(6\) | −1.67237 | − | 0.450743i | −0.682743 | − | 0.184015i | ||||
\(7\) | 2.55679 | + | 0.680305i | 0.966376 | + | 0.257131i | ||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | −1.50762 | + | 2.59366i | −0.502541 | + | 0.864554i | ||||
\(10\) | −2.85242 | − | 1.64685i | −0.902015 | − | 0.520778i | ||||
\(11\) | −4.19511 | + | 1.12408i | −1.26487 | + | 0.338922i | −0.828065 | − | 0.560632i | \(-0.810558\pi\) |
−0.436809 | + | 0.899554i | \(0.643892\pi\) | |||||||
\(12\) | 1.50127 | − | 0.863822i | 0.433379 | − | 0.249364i | ||||
\(13\) | −3.59872 | − | 0.221835i | −0.998105 | − | 0.0615260i | ||||
\(14\) | −2.28897 | + | 1.32688i | −0.611754 | + | 0.354623i | ||||
\(15\) | −4.03985 | + | 4.02801i | −1.04308 | + | 1.04003i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | 5.29539 | 1.28432 | 0.642161 | − | 0.766570i | \(-0.278038\pi\) | ||||
0.642161 | + | 0.766570i | \(0.278038\pi\) | |||||||
\(18\) | −0.767945 | − | 2.90004i | −0.181006 | − | 0.683547i | ||||
\(19\) | 1.57626 | − | 5.88267i | 0.361618 | − | 1.34958i | −0.510330 | − | 0.859978i | \(-0.670477\pi\) |
0.871948 | − | 0.489598i | \(-0.162856\pi\) | |||||||
\(20\) | 3.18146 | − | 0.852470i | 0.711396 | − | 0.190618i | ||||
\(21\) | 1.18729 | + | 4.42610i | 0.259088 | + | 0.965854i | ||||
\(22\) | 2.17155 | − | 3.76124i | 0.462976 | − | 0.801898i | ||||
\(23\) | 8.97313 | 1.87103 | 0.935513 | − | 0.353292i | \(-0.114938\pi\) | ||||
0.935513 | + | 0.353292i | \(0.114938\pi\) | |||||||
\(24\) | −0.450743 | + | 1.67237i | −0.0920076 | + | 0.341372i | ||||
\(25\) | −5.06487 | + | 2.92420i | −1.01297 | + | 0.584840i | ||||
\(26\) | 2.70154 | − | 2.38782i | 0.529816 | − | 0.468290i | ||||
\(27\) | −5.19610 | − | 0.0228855i | −0.999990 | − | 0.00440432i | ||||
\(28\) | 0.680305 | − | 2.55679i | 0.128566 | − | 0.483188i | ||||
\(29\) | −2.35873 | + | 1.36181i | −0.438004 | + | 0.252882i | −0.702751 | − | 0.711436i | \(-0.748045\pi\) |
0.264746 | + | 0.964318i | \(0.414712\pi\) | |||||||
\(30\) | 0.00837533 | − | 5.70483i | 0.00152912 | − | 1.04156i | ||||
\(31\) | −0.298174 | + | 1.11280i | −0.0535537 | + | 0.199865i | −0.987519 | − | 0.157498i | \(-0.949657\pi\) |
0.933966 | + | 0.357363i | \(0.116324\pi\) | |||||||
\(32\) | 0.707107 | − | 0.707107i | 0.125000 | − | 0.125000i | ||||
\(33\) | −5.31138 | − | 5.32699i | −0.924592 | − | 0.927311i | ||||
\(34\) | −3.74441 | + | 3.74441i | −0.642161 | + | 0.642161i | ||||
\(35\) | 0.0152231 | + | 8.71427i | 0.00257318 | + | 1.47298i | ||||
\(36\) | 2.59366 | + | 1.50762i | 0.432277 | + | 0.251270i | ||||
\(37\) | 1.48834 | − | 1.48834i | 0.244681 | − | 0.244681i | −0.574103 | − | 0.818783i | \(-0.694649\pi\) |
0.818783 | + | 0.574103i | \(0.194649\pi\) | |||||||
\(38\) | 3.04509 | + | 5.27425i | 0.493979 | + | 0.855597i | ||||
\(39\) | −2.77562 | − | 5.59428i | −0.444455 | − | 0.895801i | ||||
\(40\) | −1.64685 | + | 2.85242i | −0.260389 | + | 0.451007i | ||||
\(41\) | −8.93434 | − | 2.39395i | −1.39531 | − | 0.373872i | −0.518652 | − | 0.854986i | \(-0.673566\pi\) |
−0.876658 | + | 0.481113i | \(0.840233\pi\) | |||||||
\(42\) | −3.96927 | − | 2.29018i | −0.612471 | − | 0.353383i | ||||
\(43\) | −2.42543 | − | 1.40032i | −0.369875 | − | 0.213547i | 0.303529 | − | 0.952822i | \(-0.401835\pi\) |
−0.673404 | + | 0.739275i | \(0.735168\pi\) | |||||||
\(44\) | 1.12408 | + | 4.19511i | 0.169461 | + | 0.632437i | ||||
\(45\) | −9.53683 | − | 2.58542i | −1.42167 | − | 0.385412i | ||||
\(46\) | −6.34496 | + | 6.34496i | −0.935513 | + | 0.935513i | ||||
\(47\) | −4.19035 | + | 1.12280i | −0.611226 | + | 0.163778i | −0.551136 | − | 0.834415i | \(-0.685805\pi\) |
−0.0600900 | + | 0.998193i | \(0.519139\pi\) | |||||||
\(48\) | −0.863822 | − | 1.50127i | −0.124682 | − | 0.216690i | ||||
\(49\) | 6.07437 | + | 3.47880i | 0.867767 | + | 0.496971i | ||||
\(50\) | 1.51368 | − | 5.64912i | 0.214066 | − | 0.798907i | ||||
\(51\) | 4.57428 | + | 7.94981i | 0.640527 | + | 1.11320i | ||||
\(52\) | −0.221835 | + | 3.59872i | −0.0307630 | + | 0.499053i | ||||
\(53\) | 4.94841 | − | 2.85697i | 0.679717 | − | 0.392435i | −0.120032 | − | 0.992770i | \(-0.538300\pi\) |
0.799748 | + | 0.600335i | \(0.204966\pi\) | |||||||
\(54\) | 3.69038 | − | 3.65802i | 0.502197 | − | 0.497793i | ||||
\(55\) | −7.15242 | − | 12.3884i | −0.964432 | − | 1.67044i | ||||
\(56\) | 1.32688 | + | 2.28897i | 0.177311 | + | 0.305877i | ||||
\(57\) | 10.1931 | − | 2.71519i | 1.35011 | − | 0.359636i | ||||
\(58\) | 0.704925 | − | 2.63082i | 0.0925612 | − | 0.345443i | ||||
\(59\) | 0.571327 | + | 0.571327i | 0.0743805 | + | 0.0743805i | 0.743318 | − | 0.668938i | \(-0.233251\pi\) |
−0.668938 | + | 0.743318i | \(0.733251\pi\) | |||||||
\(60\) | 4.02801 | + | 4.03985i | 0.520013 | + | 0.521542i | ||||
\(61\) | 1.18591 | + | 2.05406i | 0.151840 | + | 0.262995i | 0.931904 | − | 0.362705i | \(-0.118147\pi\) |
−0.780064 | + | 0.625700i | \(0.784813\pi\) | |||||||
\(62\) | −0.576029 | − | 0.997711i | −0.0731557 | − | 0.126709i | ||||
\(63\) | −5.61916 | + | 5.60581i | −0.707947 | + | 0.706265i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −2.36204 | − | 11.6383i | −0.292975 | − | 1.44355i | ||||
\(66\) | 7.52246 | + | 0.0110438i | 0.925951 | + | 0.00135940i | ||||
\(67\) | 9.45859 | − | 2.53442i | 1.15555 | − | 0.309629i | 0.370364 | − | 0.928887i | \(-0.379233\pi\) |
0.785188 | + | 0.619258i | \(0.212566\pi\) | |||||||
\(68\) | − | 5.29539i | − | 0.642161i | ||||||
\(69\) | 7.75119 | + | 13.4711i | 0.933133 | + | 1.62173i | ||||
\(70\) | −6.17269 | − | 6.15116i | −0.737777 | − | 0.735204i | ||||
\(71\) | 2.23789 | + | 8.35193i | 0.265589 | + | 0.991192i | 0.961889 | + | 0.273441i | \(0.0881618\pi\) |
−0.696300 | + | 0.717751i | \(0.745171\pi\) | |||||||
\(72\) | −2.90004 | + | 0.767945i | −0.341774 | + | 0.0905032i | ||||
\(73\) | −1.45899 | − | 0.390935i | −0.170762 | − | 0.0457555i | 0.172425 | − | 0.985023i | \(-0.444840\pi\) |
−0.343187 | + | 0.939267i | \(0.611506\pi\) | |||||||
\(74\) | 2.10482i | 0.244681i | ||||||||
\(75\) | −8.76516 | − | 5.07774i | −1.01211 | − | 0.586327i | ||||
\(76\) | −5.88267 | − | 1.57626i | −0.674788 | − | 0.180809i | ||||
\(77\) | −11.4907 | + | 0.0200734i | −1.30949 | + | 0.00228758i | ||||
\(78\) | 5.91841 | + | 1.99309i | 0.670128 | + | 0.225673i | ||||
\(79\) | −0.257500 | + | 0.446002i | −0.0289710 | + | 0.0501792i | −0.880147 | − | 0.474701i | \(-0.842556\pi\) |
0.851176 | + | 0.524880i | \(0.175890\pi\) | |||||||
\(80\) | −0.852470 | − | 3.18146i | −0.0953090 | − | 0.355698i | ||||
\(81\) | −4.45415 | − | 7.82052i | −0.494906 | − | 0.868947i | ||||
\(82\) | 8.01031 | − | 4.62476i | 0.884591 | − | 0.510719i | ||||
\(83\) | −4.56024 | + | 4.56024i | −0.500551 | + | 0.500551i | −0.911609 | − | 0.411058i | \(-0.865159\pi\) |
0.411058 | + | 0.911609i | \(0.365159\pi\) | |||||||
\(84\) | 4.42610 | − | 1.18729i | 0.482927 | − | 0.129544i | ||||
\(85\) | 4.51416 | + | 16.8471i | 0.489630 | + | 1.82732i | ||||
\(86\) | 2.70522 | − | 0.724860i | 0.291711 | − | 0.0781637i | ||||
\(87\) | −4.08197 | − | 2.36472i | −0.437633 | − | 0.253525i | ||||
\(88\) | −3.76124 | − | 2.17155i | −0.400949 | − | 0.231488i | ||||
\(89\) | 1.56283 | + | 1.56283i | 0.165660 | + | 0.165660i | 0.785069 | − | 0.619409i | \(-0.212628\pi\) |
−0.619409 | + | 0.785069i | \(0.712628\pi\) | |||||||
\(90\) | 8.57173 | − | 4.91539i | 0.903540 | − | 0.518128i | ||||
\(91\) | −9.05026 | − | 3.01542i | −0.948725 | − | 0.316101i | ||||
\(92\) | − | 8.97313i | − | 0.935513i | ||||||
\(93\) | −1.92819 | + | 0.513623i | −0.199943 | + | 0.0532602i | ||||
\(94\) | 2.16909 | − | 3.75697i | 0.223724 | − | 0.387502i | ||||
\(95\) | 20.0592 | 2.05803 | ||||||||
\(96\) | 1.67237 | + | 0.450743i | 0.170686 | + | 0.0460038i | ||||
\(97\) | 2.82483 | − | 0.756910i | 0.286818 | − | 0.0768525i | −0.112542 | − | 0.993647i | \(-0.535899\pi\) |
0.399359 | + | 0.916794i | \(0.369233\pi\) | |||||||
\(98\) | −6.75511 | + | 1.83535i | −0.682369 | + | 0.185398i | ||||
\(99\) | 3.40917 | − | 12.5754i | 0.342635 | − | 1.26387i | ||||
\(100\) | 2.92420 | + | 5.06487i | 0.292420 | + | 0.506487i | ||||
\(101\) | 4.83780 | − | 8.37932i | 0.481379 | − | 0.833774i | −0.518392 | − | 0.855143i | \(-0.673469\pi\) |
0.999772 | + | 0.0213693i | \(0.00680258\pi\) | |||||||
\(102\) | −8.85587 | − | 2.38686i | −0.876862 | − | 0.236335i | ||||
\(103\) | 10.7642 | + | 6.21469i | 1.06062 | + | 0.612351i | 0.925605 | − | 0.378492i | \(-0.123557\pi\) |
0.135019 | + | 0.990843i | \(0.456891\pi\) | |||||||
\(104\) | −2.38782 | − | 2.70154i | −0.234145 | − | 0.264908i | ||||
\(105\) | −13.0693 | + | 7.55044i | −1.27544 | + | 0.736847i | ||||
\(106\) | −1.47888 | + | 5.51924i | −0.143641 | + | 0.536076i | ||||
\(107\) | 7.39350i | 0.714757i | 0.933960 | + | 0.357378i | \(0.116329\pi\) | ||||
−0.933960 | + | 0.357378i | \(0.883671\pi\) | |||||||
\(108\) | −0.0228855 | + | 5.19610i | −0.00220216 | + | 0.499995i | ||||
\(109\) | −1.10760 | + | 4.13363i | −0.106089 | + | 0.395930i | −0.998466 | − | 0.0553599i | \(-0.982369\pi\) |
0.892377 | + | 0.451290i | \(0.149036\pi\) | |||||||
\(110\) | 13.8174 | + | 3.70236i | 1.31744 | + | 0.353007i | ||||
\(111\) | 3.52005 | + | 0.948736i | 0.334108 | + | 0.0900500i | ||||
\(112\) | −2.55679 | − | 0.680305i | −0.241594 | − | 0.0642828i | ||||
\(113\) | −2.49592 | − | 1.44102i | −0.234797 | − | 0.135560i | 0.377986 | − | 0.925811i | \(-0.376617\pi\) |
−0.612783 | + | 0.790251i | \(0.709950\pi\) | |||||||
\(114\) | −5.28766 | + | 9.12752i | −0.495235 | + | 0.854871i | ||||
\(115\) | 7.64932 | + | 28.5477i | 0.713303 | + | 2.66208i | ||||
\(116\) | 1.36181 | + | 2.35873i | 0.126441 | + | 0.219002i | ||||
\(117\) | 6.00088 | − | 8.99942i | 0.554781 | − | 0.831996i | ||||
\(118\) | −0.807979 | −0.0743805 | ||||||||
\(119\) | 13.5392 | + | 3.60248i | 1.24114 | + | 0.330239i | ||||
\(120\) | −5.70483 | − | 0.00837533i | −0.520778 | − | 0.000764560i | ||||
\(121\) | 6.80915 | − | 3.93126i | 0.619014 | − | 0.357388i | ||||
\(122\) | −2.29100 | − | 0.613873i | −0.207418 | − | 0.0555774i | ||||
\(123\) | −4.12372 | − | 15.4808i | −0.371823 | − | 1.39586i | ||||
\(124\) | 1.11280 | + | 0.298174i | 0.0999325 | + | 0.0267768i | ||||
\(125\) | −1.97592 | − | 1.97592i | −0.176732 | − | 0.176732i | ||||
\(126\) | 0.00943979 | − | 7.93725i | 0.000840963 | − | 0.707106i | ||||
\(127\) | 8.22861 | − | 4.75079i | 0.730171 | − | 0.421565i | −0.0883135 | − | 0.996093i | \(-0.528148\pi\) |
0.818485 | + | 0.574528i | \(0.194814\pi\) | |||||||
\(128\) | −0.707107 | − | 0.707107i | −0.0625000 | − | 0.0625000i | ||||
\(129\) | 0.00712159 | − | 4.85085i | 0.000627021 | − | 0.427094i | ||||
\(130\) | 9.89974 | + | 6.55930i | 0.868264 | + | 0.575289i | ||||
\(131\) | 4.69605 | + | 2.71126i | 0.410295 | + | 0.236884i | 0.690917 | − | 0.722934i | \(-0.257207\pi\) |
−0.280621 | + | 0.959819i | \(0.590540\pi\) | |||||||
\(132\) | −5.32699 | + | 5.31138i | −0.463655 | + | 0.462296i | ||||
\(133\) | 8.03217 | − | 13.9684i | 0.696477 | − | 1.21122i | ||||
\(134\) | −4.89613 | + | 8.48034i | −0.422961 | + | 0.732590i | ||||
\(135\) | −4.35671 | − | 16.5507i | −0.374966 | − | 1.42446i | ||||
\(136\) | 3.74441 | + | 3.74441i | 0.321080 | + | 0.321080i | ||||
\(137\) | 1.66912 | + | 1.66912i | 0.142602 | + | 0.142602i | 0.774804 | − | 0.632202i | \(-0.217849\pi\) |
−0.632202 | + | 0.774804i | \(0.717849\pi\) | |||||||
\(138\) | −15.0064 | − | 4.04458i | −1.27743 | − | 0.344297i | ||||
\(139\) | 6.99492 | − | 12.1156i | 0.593302 | − | 1.02763i | −0.400483 | − | 0.916304i | \(-0.631157\pi\) |
0.993784 | − | 0.111324i | \(-0.0355092\pi\) | |||||||
\(140\) | 8.71427 | − | 0.0152231i | 0.736491 | − | 0.00128659i | ||||
\(141\) | −5.30535 | − | 5.32095i | −0.446791 | − | 0.448105i | ||||
\(142\) | −7.48814 | − | 4.32328i | −0.628391 | − | 0.362802i | ||||
\(143\) | 15.3464 | − | 3.11462i | 1.28333 | − | 0.260457i | ||||
\(144\) | 1.50762 | − | 2.59366i | 0.125635 | − | 0.216138i | ||||
\(145\) | −6.34329 | − | 6.34329i | −0.526782 | − | 0.526782i | ||||
\(146\) | 1.30809 | − | 0.755228i | 0.108259 | − | 0.0625031i | ||||
\(147\) | 0.0245606 | + | 12.1243i | 0.00202573 | + | 0.999998i | ||||
\(148\) | −1.48834 | − | 1.48834i | −0.122340 | − | 0.122340i | ||||
\(149\) | −18.3242 | − | 4.90995i | −1.50118 | − | 0.402239i | −0.587682 | − | 0.809092i | \(-0.699959\pi\) |
−0.913493 | + | 0.406853i | \(0.866626\pi\) | |||||||
\(150\) | 9.78841 | − | 2.60740i | 0.799220 | − | 0.212893i | ||||
\(151\) | 2.63524 | + | 0.706111i | 0.214453 | + | 0.0574625i | 0.364446 | − | 0.931225i | \(-0.381258\pi\) |
−0.149993 | + | 0.988687i | \(0.547925\pi\) | |||||||
\(152\) | 5.27425 | − | 3.04509i | 0.427799 | − | 0.246990i | ||||
\(153\) | −7.98345 | + | 13.7345i | −0.645424 | + | 1.11036i | ||||
\(154\) | 8.11099 | − | 8.13938i | 0.653602 | − | 0.655890i | ||||
\(155\) | −3.79452 | −0.304783 | ||||||||
\(156\) | −5.59428 | + | 2.77562i | −0.447901 | + | 0.222228i | ||||
\(157\) | 1.70045 | + | 2.94527i | 0.135711 | + | 0.235058i | 0.925869 | − | 0.377845i | \(-0.123335\pi\) |
−0.790158 | + | 0.612903i | \(0.790001\pi\) | |||||||
\(158\) | −0.133292 | − | 0.497451i | −0.0106041 | − | 0.0395751i | ||||
\(159\) | 8.56363 | + | 4.96099i | 0.679140 | + | 0.393432i | ||||
\(160\) | 2.85242 | + | 1.64685i | 0.225504 | + | 0.130195i | ||||
\(161\) | 22.9424 | + | 6.10447i | 1.80812 | + | 0.481099i | ||||
\(162\) | 8.67950 | + | 2.38038i | 0.681926 | + | 0.187020i | ||||
\(163\) | 24.4839 | + | 6.56044i | 1.91773 | + | 0.513853i | 0.990105 | + | 0.140331i | \(0.0448168\pi\) |
0.927621 | + | 0.373522i | \(0.121850\pi\) | |||||||
\(164\) | −2.39395 | + | 8.93434i | −0.186936 | + | 0.697655i | ||||
\(165\) | 12.4198 | − | 21.4390i | 0.966883 | − | 1.66903i | ||||
\(166\) | − | 6.44915i | − | 0.500551i | ||||||
\(167\) | −1.41135 | + | 5.26722i | −0.109213 | + | 0.407590i | −0.998789 | − | 0.0491979i | \(-0.984334\pi\) |
0.889576 | + | 0.456788i | \(0.151000\pi\) | |||||||
\(168\) | −2.29018 | + | 3.96927i | −0.176691 | + | 0.306235i | ||||
\(169\) | 12.9016 | + | 1.59665i | 0.992429 | + | 0.122819i | ||||
\(170\) | −15.1047 | − | 8.72070i | −1.15848 | − | 0.668847i | ||||
\(171\) | 12.8812 | + | 12.9571i | 0.985053 | + | 0.990855i | ||||
\(172\) | −1.40032 | + | 2.42543i | −0.106774 | + | 0.184937i | ||||
\(173\) | −6.88988 | − | 11.9336i | −0.523828 | − | 0.907297i | −0.999615 | − | 0.0277364i | \(-0.991170\pi\) |
0.475787 | − | 0.879560i | \(-0.342163\pi\) | |||||||
\(174\) | 4.55850 | − | 1.21428i | 0.345579 | − | 0.0920540i | ||||
\(175\) | −14.9392 | + | 4.03092i | −1.12929 | + | 0.304709i | ||||
\(176\) | 4.19511 | − | 1.12408i | 0.316219 | − | 0.0847305i | ||||
\(177\) | −0.364191 | + | 1.35124i | −0.0273743 | + | 0.101566i | ||||
\(178\) | −2.21018 | −0.165660 | ||||||||
\(179\) | −4.44678 | + | 7.70206i | −0.332368 | + | 0.575679i | −0.982976 | − | 0.183736i | \(-0.941181\pi\) |
0.650607 | + | 0.759414i | \(0.274514\pi\) | |||||||
\(180\) | −2.58542 | + | 9.53683i | −0.192706 | + | 0.710834i | ||||
\(181\) | − | 20.2657i | − | 1.50634i | −0.657826 | − | 0.753170i | \(-0.728524\pi\) | ||
0.657826 | − | 0.753170i | \(-0.271476\pi\) | |||||||
\(182\) | 8.53172 | − | 4.26728i | 0.632413 | − | 0.316312i | ||||
\(183\) | −2.05928 | + | 3.55471i | −0.152226 | + | 0.262772i | ||||
\(184\) | 6.34496 | + | 6.34496i | 0.467757 | + | 0.467757i | ||||
\(185\) | 6.00384 | + | 3.46632i | 0.441411 | + | 0.254849i | ||||
\(186\) | 1.00025 | − | 1.72662i | 0.0733416 | − | 0.126602i | ||||
\(187\) | −22.2148 | + | 5.95243i | −1.62451 | + | 0.435285i | ||||
\(188\) | 1.12280 | + | 4.19035i | 0.0818888 | + | 0.305613i | ||||
\(189\) | −13.2698 | − | 3.59345i | −0.965235 | − | 0.261385i | ||||
\(190\) | −14.1840 | + | 14.1840i | −1.02901 | + | 1.02901i | ||||
\(191\) | 13.9580 | − | 8.05867i | 1.00997 | − | 0.583105i | 0.0987856 | − | 0.995109i | \(-0.468504\pi\) |
0.911182 | + | 0.412004i | \(0.135171\pi\) | |||||||
\(192\) | −1.50127 | + | 0.863822i | −0.108345 | + | 0.0623410i | ||||
\(193\) | −5.88842 | − | 21.9759i | −0.423857 | − | 1.58186i | −0.766405 | − | 0.642357i | \(-0.777957\pi\) |
0.342548 | − | 0.939500i | \(-0.388710\pi\) | |||||||
\(194\) | −1.46224 | + | 2.53267i | −0.104983 | + | 0.181835i | ||||
\(195\) | 15.4318 | − | 13.5995i | 1.10510 | − | 0.973879i | ||||
\(196\) | 3.47880 | − | 6.07437i | 0.248486 | − | 0.433884i | ||||
\(197\) | −24.8603 | − | 6.66131i | −1.77123 | − | 0.474598i | −0.782286 | − | 0.622919i | \(-0.785947\pi\) |
−0.988939 | + | 0.148321i | \(0.952613\pi\) | |||||||
\(198\) | 6.48149 | + | 11.3028i | 0.460620 | + | 0.803254i | ||||
\(199\) | 16.6668i | 1.18148i | 0.806863 | + | 0.590739i | \(0.201164\pi\) | ||||
−0.806863 | + | 0.590739i | \(0.798836\pi\) | |||||||
\(200\) | −5.64912 | − | 1.51368i | −0.399453 | − | 0.107033i | ||||
\(201\) | 11.9754 | + | 12.0106i | 0.844679 | + | 0.847163i | ||||
\(202\) | 2.50423 | + | 9.34592i | 0.176197 | + | 0.657577i | ||||
\(203\) | −6.95722 | + | 1.87721i | −0.488301 | + | 0.131755i | ||||
\(204\) | 7.94981 | − | 4.57428i | 0.556598 | − | 0.320264i | ||||
\(205\) | − | 30.4650i | − | 2.12777i | ||||||
\(206\) | −12.0059 | + | 3.21696i | −0.836487 | + | 0.224136i | ||||
\(207\) | −13.5281 | + | 23.2732i | −0.940267 | + | 1.61760i | ||||
\(208\) | 3.59872 | + | 0.221835i | 0.249526 | + | 0.0153815i | ||||
\(209\) | 26.4503i | 1.82960i | ||||||||
\(210\) | 3.90244 | − | 14.5804i | 0.269294 | − | 1.00614i | ||||
\(211\) | −4.52546 | − | 7.83833i | −0.311546 | − | 0.539613i | 0.667152 | − | 0.744922i | \(-0.267513\pi\) |
−0.978697 | + | 0.205309i | \(0.934180\pi\) | |||||||
\(212\) | −2.85697 | − | 4.94841i | −0.196217 | − | 0.339858i | ||||
\(213\) | −10.6054 | + | 10.5743i | −0.726668 | + | 0.724537i | ||||
\(214\) | −5.22799 | − | 5.22799i | −0.357378 | − | 0.357378i | ||||
\(215\) | 2.38747 | − | 8.91014i | 0.162824 | − | 0.607667i | ||||
\(216\) | −3.65802 | − | 3.69038i | −0.248896 | − | 0.251099i | ||||
\(217\) | −1.51941 | + | 2.64235i | −0.103145 | + | 0.179375i | ||||
\(218\) | −2.13973 | − | 3.70611i | −0.144921 | − | 0.251010i | ||||
\(219\) | −0.673408 | − | 2.52803i | −0.0455047 | − | 0.170829i | ||||
\(220\) | −12.3884 | + | 7.15242i | −0.835222 | + | 0.482216i | ||||
\(221\) | −19.0566 | − | 1.17470i | −1.28189 | − | 0.0790192i | ||||
\(222\) | −3.15991 | + | 1.81819i | −0.212079 | + | 0.122029i | ||||
\(223\) | 2.18761 | − | 8.16427i | 0.146493 | − | 0.546720i | −0.853191 | − | 0.521598i | \(-0.825336\pi\) |
0.999684 | − | 0.0251219i | \(-0.00799738\pi\) | |||||||
\(224\) | 2.28897 | − | 1.32688i | 0.152938 | − | 0.0886557i | ||||
\(225\) | 0.0515165 | − | 17.5451i | 0.00343444 | − | 1.16968i | ||||
\(226\) | 2.78384 | − | 0.745928i | 0.185178 | − | 0.0496184i | ||||
\(227\) | −16.8243 | + | 16.8243i | −1.11667 | + | 1.11667i | −0.124442 | + | 0.992227i | \(0.539714\pi\) |
−0.992227 | + | 0.124442i | \(0.960286\pi\) | |||||||
\(228\) | −2.71519 | − | 10.1931i | −0.179818 | − | 0.675053i | ||||
\(229\) | 6.11927 | + | 22.8374i | 0.404373 | + | 1.50914i | 0.805209 | + | 0.592991i | \(0.202053\pi\) |
−0.400836 | + | 0.916150i | \(0.631280\pi\) | |||||||
\(230\) | −25.5951 | − | 14.7774i | −1.68769 | − | 0.974390i | ||||
\(231\) | −9.95610 | − | 17.2334i | −0.655063 | − | 1.13387i | ||||
\(232\) | −2.63082 | − | 0.704925i | −0.172722 | − | 0.0462806i | ||||
\(233\) | 14.1393 | − | 24.4900i | 0.926298 | − | 1.60440i | 0.136838 | − | 0.990593i | \(-0.456306\pi\) |
0.789460 | − | 0.613802i | \(-0.210361\pi\) | |||||||
\(234\) | 2.12029 | + | 10.6068i | 0.138608 | + | 0.693389i | ||||
\(235\) | −7.14430 | − | 12.3743i | −0.466043 | − | 0.807210i | ||||
\(236\) | 0.571327 | − | 0.571327i | 0.0371902 | − | 0.0371902i | ||||
\(237\) | −0.892004 | − | 0.00130956i | −0.0579419 | − | 8.50651e-5i | ||||
\(238\) | −12.1210 | + | 7.02633i | −0.785689 | + | 0.455449i | ||||
\(239\) | 12.9200 | − | 12.9200i | 0.835723 | − | 0.835723i | −0.152569 | − | 0.988293i | \(-0.548755\pi\) |
0.988293 | + | 0.152569i | \(0.0487548\pi\) | |||||||
\(240\) | 4.03985 | − | 4.02801i | 0.260771 | − | 0.260007i | ||||
\(241\) | −12.3866 | + | 12.3866i | −0.797893 | + | 0.797893i | −0.982763 | − | 0.184870i | \(-0.940814\pi\) |
0.184870 | + | 0.982763i | \(0.440814\pi\) | |||||||
\(242\) | −2.03497 | + | 7.59462i | −0.130813 | + | 0.488201i | ||||
\(243\) | 7.89312 | − | 13.4424i | 0.506344 | − | 0.862332i | ||||
\(244\) | 2.05406 | − | 1.18591i | 0.131498 | − | 0.0759202i | ||||
\(245\) | −5.88945 | + | 22.2909i | −0.376263 | + | 1.42412i | ||||
\(246\) | 13.8625 | + | 8.03067i | 0.883840 | + | 0.512017i | ||||
\(247\) | −6.97749 | + | 20.8204i | −0.443967 | + | 1.32477i | ||||
\(248\) | −0.997711 | + | 0.576029i | −0.0633547 | + | 0.0365779i | ||||
\(249\) | −10.7854 | − | 2.90691i | −0.683496 | − | 0.184218i | ||||
\(250\) | 2.79438 | 0.176732 | ||||||||
\(251\) | 7.38589 | − | 12.7927i | 0.466193 | − | 0.807471i | −0.533061 | − | 0.846077i | \(-0.678958\pi\) |
0.999255 | + | 0.0386062i | \(0.0122918\pi\) | |||||||
\(252\) | 5.60581 | + | 5.61916i | 0.353133 | + | 0.353974i | ||||
\(253\) | −37.6433 | + | 10.0865i | −2.36661 | + | 0.634132i | ||||
\(254\) | −2.45919 | + | 9.17783i | −0.154303 | + | 0.575868i | ||||
\(255\) | −21.3926 | + | 21.3299i | −1.33966 | + | 1.33573i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −12.6694 | −0.790293 | −0.395147 | − | 0.918618i | \(-0.629306\pi\) | ||||
−0.395147 | + | 0.918618i | \(0.629306\pi\) | |||||||
\(258\) | 3.42504 | + | 3.43511i | 0.213233 | + | 0.213860i | ||||
\(259\) | 4.81789 | − | 2.79284i | 0.299369 | − | 0.173539i | ||||
\(260\) | −11.6383 | + | 2.36204i | −0.721777 | + | 0.146488i | ||||
\(261\) | 0.0239914 | − | 8.17083i | 0.00148503 | − | 0.505762i | ||||
\(262\) | −5.23776 | + | 1.40345i | −0.323590 | + | 0.0867056i | ||||
\(263\) | 0.824649 | + | 0.476112i | 0.0508501 | + | 0.0293583i | 0.525210 | − | 0.850973i | \(-0.323987\pi\) |
−0.474359 | + | 0.880331i | \(0.657320\pi\) | |||||||
\(264\) | 0.0110438 | − | 7.52246i | 0.000679700 | − | 0.462976i | ||||
\(265\) | 13.3077 | + | 13.3077i | 0.817486 | + | 0.817486i | ||||
\(266\) | 4.19756 | + | 15.5568i | 0.257369 | + | 0.953846i | ||||
\(267\) | −0.996222 | + | 3.69624i | −0.0609678 | + | 0.226206i | ||||
\(268\) | −2.53442 | − | 9.45859i | −0.154815 | − | 0.577776i | ||||
\(269\) | − | 23.2305i | − | 1.41639i | −0.706018 | − | 0.708194i | \(-0.749510\pi\) | ||
0.706018 | − | 0.708194i | \(-0.250490\pi\) | |||||||
\(270\) | 14.7838 | + | 8.62246i | 0.899712 | + | 0.524746i | ||||
\(271\) | 19.0789 | − | 19.0789i | 1.15896 | − | 1.15896i | 0.174259 | − | 0.984700i | \(-0.444247\pi\) |
0.984700 | − | 0.174259i | \(-0.0557530\pi\) | |||||||
\(272\) | −5.29539 | −0.321080 | ||||||||
\(273\) | −3.29087 | − | 16.1917i | −0.199172 | − | 0.979964i | ||||
\(274\) | −2.36049 | −0.142602 | ||||||||
\(275\) | 17.9607 | − | 17.9607i | 1.08307 | − | 1.08307i | ||||
\(276\) | 13.4711 | − | 7.75119i | 0.810864 | − | 0.466567i | ||||
\(277\) | 17.7920i | 1.06902i | 0.845163 | + | 0.534508i | \(0.179503\pi\) | ||||
−0.845163 | + | 0.534508i | \(0.820497\pi\) | |||||||
\(278\) | 3.62084 | + | 13.5132i | 0.217163 | + | 0.810465i | ||||
\(279\) | −2.43670 | − | 2.45105i | −0.145881 | − | 0.146740i | ||||
\(280\) | −6.15116 | + | 6.17269i | −0.367602 | + | 0.368889i | ||||
\(281\) | 17.4575 | + | 17.4575i | 1.04142 | + | 1.04142i | 0.999104 | + | 0.0423209i | \(0.0134752\pi\) |
0.0423209 | + | 0.999104i | \(0.486525\pi\) | |||||||
\(282\) | 7.51393 | + | 0.0110313i | 0.447448 | + | 0.000656904i | ||||
\(283\) | 0.617271 | + | 0.356381i | 0.0366929 | + | 0.0211847i | 0.518234 | − | 0.855239i | \(-0.326590\pi\) |
−0.481541 | + | 0.876423i | \(0.659923\pi\) | |||||||
\(284\) | 8.35193 | − | 2.23789i | 0.495596 | − | 0.132795i | ||||
\(285\) | 17.3276 | + | 30.1143i | 1.02640 | + | 1.78381i | ||||
\(286\) | −8.64918 | + | 13.0539i | −0.511437 | + | 0.771894i | ||||
\(287\) | −21.2146 | − | 12.1989i | −1.25226 | − | 0.720079i | ||||
\(288\) | 0.767945 | + | 2.90004i | 0.0452516 | + | 0.170887i | ||||
\(289\) | 11.0412 | 0.649482 | ||||||||
\(290\) | 8.97077 | 0.526782 | ||||||||
\(291\) | 3.57647 | + | 3.58699i | 0.209657 | + | 0.210273i | ||||
\(292\) | −0.390935 | + | 1.45899i | −0.0228777 | + | 0.0853809i | ||||
\(293\) | 0.721061 | − | 0.193208i | 0.0421248 | − | 0.0112873i | −0.237695 | − | 0.971340i | \(-0.576392\pi\) |
0.279820 | + | 0.960053i | \(0.409725\pi\) | |||||||
\(294\) | −8.59056 | − | 8.55583i | −0.501012 | − | 0.498986i | ||||
\(295\) | −1.33062 | + | 2.30469i | −0.0774715 | + | 0.134185i | ||||
\(296\) | 2.10482 | 0.122340 | ||||||||
\(297\) | 21.8240 | − | 5.74481i | 1.26635 | − | 0.333348i | ||||
\(298\) | 16.4290 | − | 9.48529i | 0.951707 | − | 0.549468i | ||||
\(299\) | −32.2918 | − | 1.99055i | −1.86748 | − | 0.115117i | ||||
\(300\) | −5.07774 | + | 8.76516i | −0.293163 | + | 0.506057i | ||||
\(301\) | −5.24867 | − | 5.23037i | −0.302528 | − | 0.301473i | ||||
\(302\) | −2.36270 | + | 1.36410i | −0.135958 | + | 0.0784953i | ||||
\(303\) | 16.7586 | + | 0.0246035i | 0.962758 | + | 0.00141344i | ||||
\(304\) | −1.57626 | + | 5.88267i | −0.0904045 | + | 0.337394i | ||||
\(305\) | −5.52396 | + | 5.52396i | −0.316301 | + | 0.316301i | ||||
\(306\) | −4.06657 | − | 15.3569i | −0.232470 | − | 0.877894i | ||||
\(307\) | −17.3155 | + | 17.3155i | −0.988246 | + | 0.988246i | −0.999932 | − | 0.0116856i | \(-0.996280\pi\) |
0.0116856 | + | 0.999932i | \(0.496280\pi\) | |||||||
\(308\) | 0.0200734 | + | 11.4907i | 0.00114379 | + | 0.654746i | ||||
\(309\) | −0.0316059 | + | 21.5283i | −0.00179800 | + | 1.22470i | ||||
\(310\) | 2.68313 | − | 2.68313i | 0.152392 | − | 0.152392i | ||||
\(311\) | −6.23904 | − | 10.8063i | −0.353784 | − | 0.612771i | 0.633125 | − | 0.774049i | \(-0.281772\pi\) |
−0.986909 | + | 0.161278i | \(0.948438\pi\) | |||||||
\(312\) | 1.99309 | − | 5.91841i | 0.112837 | − | 0.335064i | ||||
\(313\) | −6.77592 | + | 11.7362i | −0.382997 | + | 0.663371i | −0.991489 | − | 0.130189i | \(-0.958442\pi\) |
0.608492 | + | 0.793560i | \(0.291775\pi\) | |||||||
\(314\) | −3.28502 | − | 0.880220i | −0.185385 | − | 0.0496737i | ||||
\(315\) | −22.6248 | − | 13.0983i | −1.27476 | − | 0.738008i | ||||
\(316\) | 0.446002 | + | 0.257500i | 0.0250896 | + | 0.0144855i | ||||
\(317\) | 2.84872 | + | 10.6316i | 0.160000 | + | 0.597128i | 0.998625 | + | 0.0524189i | \(0.0166931\pi\) |
−0.838625 | + | 0.544709i | \(0.816640\pi\) | |||||||
\(318\) | −9.56335 | + | 2.54745i | −0.536286 | + | 0.142854i | ||||
\(319\) | 8.36434 | − | 8.36434i | 0.468313 | − | 0.468313i | ||||
\(320\) | −3.18146 | + | 0.852470i | −0.177849 | + | 0.0476545i | ||||
\(321\) | −11.0996 | + | 6.38667i | −0.619521 | + | 0.356469i | ||||
\(322\) | −20.5392 | + | 11.9062i | −1.14461 | + | 0.663508i | ||||
\(323\) | 8.34689 | − | 31.1510i | 0.464434 | − | 1.73329i | ||||
\(324\) | −7.82052 | + | 4.45415i | −0.434473 | + | 0.247453i | ||||
\(325\) | 18.8757 | − | 9.39982i | 1.04704 | − | 0.521408i | ||||
\(326\) | −21.9517 | + | 12.6738i | −1.21579 | + | 0.701936i | ||||
\(327\) | −7.16247 | + | 1.90791i | −0.396085 | + | 0.105508i | ||||
\(328\) | −4.62476 | − | 8.01031i | −0.255359 | − | 0.442296i | ||||
\(329\) | −11.4777 | + | 0.0200507i | −0.632787 | + | 0.00110543i | ||||
\(330\) | 6.37754 | + | 23.9418i | 0.351072 | + | 1.31796i | ||||
\(331\) | 0.971726 | − | 3.62653i | 0.0534109 | − | 0.199332i | −0.934065 | − | 0.357104i | \(-0.883764\pi\) |
0.987476 | + | 0.157772i | \(0.0504310\pi\) | |||||||
\(332\) | 4.56024 | + | 4.56024i | 0.250276 | + | 0.250276i | ||||
\(333\) | 1.61639 | + | 6.10408i | 0.0885776 | + | 0.334502i | ||||
\(334\) | −2.72652 | − | 4.72246i | −0.149188 | − | 0.258402i | ||||
\(335\) | 16.1263 | + | 27.9316i | 0.881076 | + | 1.52607i | ||||
\(336\) | −1.18729 | − | 4.42610i | −0.0647721 | − | 0.241463i | ||||
\(337\) | 10.9390i | 0.595886i | 0.954584 | + | 0.297943i | \(0.0963006\pi\) | ||||
−0.954584 | + | 0.297943i | \(0.903699\pi\) | |||||||
\(338\) | −10.2518 | + | 7.99379i | −0.557624 | + | 0.434805i | ||||
\(339\) | 0.00732858 | − | 4.99184i | 0.000398034 | − | 0.271120i | ||||
\(340\) | 16.8471 | − | 4.51416i | 0.913662 | − | 0.244815i | ||||
\(341\) | − | 5.00350i | − | 0.270955i | ||||||
\(342\) | −18.2705 | − | 0.0536463i | −0.987954 | − | 0.00290086i | ||||
\(343\) | 13.1643 | + | 13.0270i | 0.710803 | + | 0.703391i | ||||
\(344\) | −0.724860 | − | 2.70522i | −0.0390818 | − | 0.145855i | ||||
\(345\) | −36.2501 | + | 36.1438i | −1.95164 | + | 1.94592i | ||||
\(346\) | 13.3102 | + | 3.56647i | 0.715562 | + | 0.191734i | ||||
\(347\) | 15.2251i | 0.817326i | 0.912685 | + | 0.408663i | \(0.134005\pi\) | ||||
−0.912685 | + | 0.408663i | \(0.865995\pi\) | |||||||
\(348\) | −2.36472 | + | 4.08197i | −0.126762 | + | 0.218816i | ||||
\(349\) | −24.1050 | − | 6.45893i | −1.29031 | − | 0.345738i | −0.452534 | − | 0.891747i | \(-0.649480\pi\) |
−0.837779 | + | 0.546009i | \(0.816146\pi\) | |||||||
\(350\) | 7.71329 | − | 13.4139i | 0.412293 | − | 0.717001i | ||||
\(351\) | 18.6942 | + | 1.23504i | 0.997825 | + | 0.0659214i | ||||
\(352\) | −2.17155 | + | 3.76124i | −0.115744 | + | 0.200475i | ||||
\(353\) | −0.159758 | − | 0.596226i | −0.00850308 | − | 0.0317339i | 0.961544 | − | 0.274651i | \(-0.0885623\pi\) |
−0.970047 | + | 0.242917i | \(0.921896\pi\) | |||||||
\(354\) | −0.697950 | − | 1.21299i | −0.0370956 | − | 0.0644699i | ||||
\(355\) | −24.6636 | + | 14.2395i | −1.30901 | + | 0.755757i | ||||
\(356\) | 1.56283 | − | 1.56283i | 0.0828298 | − | 0.0828298i | ||||
\(357\) | 6.28718 | + | 23.4379i | 0.332753 | + | 1.24047i | ||||
\(358\) | −2.30182 | − | 8.59053i | −0.121655 | − | 0.454023i | ||||
\(359\) | 28.9994 | − | 7.77036i | 1.53053 | − | 0.410104i | 0.607338 | − | 0.794444i | \(-0.292237\pi\) |
0.923192 | + | 0.384340i | \(0.125571\pi\) | |||||||
\(360\) | −4.91539 | − | 8.57173i | −0.259064 | − | 0.451770i | ||||
\(361\) | −15.6667 | − | 9.04518i | −0.824563 | − | 0.476062i | ||||
\(362\) | 14.3300 | + | 14.3300i | 0.753170 | + | 0.753170i | ||||
\(363\) | 11.7838 | + | 6.82646i | 0.618488 | + | 0.358296i | ||||
\(364\) | −3.01542 | + | 9.05026i | −0.158051 | + | 0.474363i | ||||
\(365\) | − | 4.97498i | − | 0.260402i | ||||||
\(366\) | −1.05743 | − | 3.96969i | −0.0552729 | − | 0.207499i | ||||
\(367\) | 7.68648 | − | 13.3134i | 0.401231 | − | 0.694953i | −0.592644 | − | 0.805465i | \(-0.701916\pi\) |
0.993875 | + | 0.110512i | \(0.0352491\pi\) | |||||||
\(368\) | −8.97313 | −0.467757 | ||||||||
\(369\) | 19.6787 | − | 19.5635i | 1.02443 | − | 1.01843i | ||||
\(370\) | −6.69642 | + | 1.79430i | −0.348130 | + | 0.0932812i | ||||
\(371\) | 14.5957 | − | 3.93824i | 0.757770 | − | 0.204463i | ||||
\(372\) | 0.513623 | + | 1.92819i | 0.0266301 | + | 0.0999717i | ||||
\(373\) | −16.8782 | − | 29.2339i | −0.873920 | − | 1.51367i | −0.857909 | − | 0.513802i | \(-0.828236\pi\) |
−0.0160117 | − | 0.999872i | \(-0.505097\pi\) | |||||||
\(374\) | 11.4992 | − | 19.9172i | 0.594610 | − | 1.02990i | ||||
\(375\) | 1.25955 | − | 4.67324i | 0.0650427 | − | 0.241325i | ||||
\(376\) | −3.75697 | − | 2.16909i | −0.193751 | − | 0.111862i | ||||
\(377\) | 8.79049 | − | 4.37753i | 0.452733 | − | 0.225454i | ||||
\(378\) | 11.9241 | − | 6.84220i | 0.613310 | − | 0.351925i | ||||
\(379\) | 1.64709 | − | 6.14703i | 0.0846054 | − | 0.315752i | −0.910634 | − | 0.413214i | \(-0.864406\pi\) |
0.995239 | + | 0.0974627i | \(0.0310727\pi\) | |||||||
\(380\) | − | 20.0592i | − | 1.02901i | ||||||
\(381\) | 14.2403 | + | 8.24953i | 0.729552 | + | 0.422636i | ||||
\(382\) | −4.17148 | + | 15.5682i | −0.213431 | + | 0.796537i | ||||
\(383\) | −29.9559 | − | 8.02667i | −1.53068 | − | 0.410144i | −0.607437 | − | 0.794368i | \(-0.707802\pi\) |
−0.923240 | + | 0.384224i | \(0.874469\pi\) | |||||||
\(384\) | 0.450743 | − | 1.67237i | 0.0230019 | − | 0.0853429i | ||||
\(385\) | −9.85938 | − | 36.5403i | −0.502481 | − | 1.86226i | ||||
\(386\) | 19.7030 | + | 11.3755i | 1.00286 | + | 0.579000i | ||||
\(387\) | 7.28859 | − | 4.17958i | 0.370500 | − | 0.212460i | ||||
\(388\) | −0.756910 | − | 2.82483i | −0.0384263 | − | 0.143409i | ||||
\(389\) | −1.09893 | − | 1.90340i | −0.0557178 | − | 0.0965061i | 0.836821 | − | 0.547476i | \(-0.184411\pi\) |
−0.892539 | + | 0.450970i | \(0.851078\pi\) | |||||||
\(390\) | −1.29567 | + | 20.5282i | −0.0656090 | + | 1.03949i | ||||
\(391\) | 47.5162 | 2.40300 | ||||||||
\(392\) | 1.83535 | + | 6.75511i | 0.0926990 | + | 0.341185i | ||||
\(393\) | −0.0137886 | + | 9.39208i | −0.000695544 | + | 0.473768i | ||||
\(394\) | 22.2892 | − | 12.8687i | 1.12291 | − | 0.648314i | ||||
\(395\) | −1.63845 | − | 0.439021i | −0.0824394 | − | 0.0220896i | ||||
\(396\) | −12.5754 | − | 3.40917i | −0.631937 | − | 0.171317i | ||||
\(397\) | −14.2330 | − | 3.81371i | −0.714332 | − | 0.191405i | −0.116691 | − | 0.993168i | \(-0.537229\pi\) |
−0.597641 | + | 0.801763i | \(0.703895\pi\) | |||||||
\(398\) | −11.7852 | − | 11.7852i | −0.590739 | − | 0.590739i | ||||
\(399\) | 27.9087 | − | 0.00778119i | 1.39718 | − | 0.000389547i | ||||
\(400\) | 5.06487 | − | 2.92420i | 0.253243 | − | 0.146210i | ||||
\(401\) | 1.28469 | + | 1.28469i | 0.0641543 | + | 0.0641543i | 0.738456 | − | 0.674302i | \(-0.235555\pi\) |
−0.674302 | + | 0.738456i | \(0.735555\pi\) | |||||||
\(402\) | −16.9607 | − | 0.0249002i | −0.845921 | − | 0.00124191i | ||||
\(403\) | 1.31990 | − | 3.93852i | 0.0657491 | − | 0.196191i | ||||
\(404\) | −8.37932 | − | 4.83780i | −0.416887 | − | 0.240690i | ||||
\(405\) | 21.0837 | − | 20.8375i | 1.04766 | − | 1.03542i | ||||
\(406\) | 3.59211 | − | 6.24689i | 0.178273 | − | 0.310028i | ||||
\(407\) | −4.57073 | + | 7.91674i | −0.226563 | + | 0.392418i | ||||
\(408\) | −2.38686 | + | 8.85587i | −0.118167 | + | 0.438431i | ||||
\(409\) | −17.5826 | − | 17.5826i | −0.869403 | − | 0.869403i | 0.123003 | − | 0.992406i | \(-0.460747\pi\) |
−0.992406 | + | 0.123003i | \(0.960747\pi\) | |||||||
\(410\) | 21.5420 | + | 21.5420i | 1.06389 | + | 1.06389i | ||||
\(411\) | −1.06397 | + | 3.94761i | −0.0524819 | + | 0.194721i | ||||
\(412\) | 6.21469 | − | 10.7642i | 0.306176 | − | 0.530312i | ||||
\(413\) | 1.07209 | + | 1.84944i | 0.0527540 | + | 0.0910051i | ||||
\(414\) | −6.89087 | − | 26.0225i | −0.338668 | − | 1.27893i | ||||
\(415\) | −18.3957 | − | 10.6208i | −0.903009 | − | 0.521352i | ||||
\(416\) | −2.70154 | + | 2.38782i | −0.132454 | + | 0.117072i | ||||
\(417\) | 24.2311 | + | 0.0355740i | 1.18660 | + | 0.00174206i | ||||
\(418\) | −18.7032 | − | 18.7032i | −0.914802 | − | 0.914802i | ||||
\(419\) | −20.7478 | + | 11.9787i | −1.01359 | + | 0.585199i | −0.912242 | − | 0.409651i | \(-0.865650\pi\) |
−0.101352 | + | 0.994851i | \(0.532317\pi\) | |||||||
\(420\) | 7.55044 | + | 13.0693i | 0.368424 | + | 0.637718i | ||||
\(421\) | −21.1259 | − | 21.1259i | −1.02961 | − | 1.02961i | −0.999548 | − | 0.0300645i | \(-0.990429\pi\) |
−0.0300645 | − | 0.999548i | \(-0.509571\pi\) | |||||||
\(422\) | 8.74252 | + | 2.34255i | 0.425579 | + | 0.114034i | ||||
\(423\) | 3.40530 | − | 12.5611i | 0.165571 | − | 0.610742i | ||||
\(424\) | 5.51924 | + | 1.47888i | 0.268038 | + | 0.0718205i | ||||
\(425\) | −26.8205 | + | 15.4848i | −1.30098 | + | 0.751123i | ||||
\(426\) | 0.0219868 | − | 14.9763i | 0.00106527 | − | 0.725602i | ||||
\(427\) | 1.63474 | + | 6.05858i | 0.0791107 | + | 0.293195i | ||||
\(428\) | 7.39350 | 0.357378 | ||||||||
\(429\) | 17.9324 | + | 20.3486i | 0.865787 | + | 0.982440i | ||||
\(430\) | 4.61223 | + | 7.98862i | 0.222421 | + | 0.385245i | ||||
\(431\) | −5.66232 | − | 21.1321i | −0.272744 | − | 1.01790i | −0.957338 | − | 0.288971i | \(-0.906687\pi\) |
0.684593 | − | 0.728925i | \(-0.259980\pi\) | |||||||
\(432\) | 5.19610 | + | 0.0228855i | 0.249998 | + | 0.00110108i | ||||
\(433\) | −9.26511 | − | 5.34922i | −0.445253 | − | 0.257067i | 0.260570 | − | 0.965455i | \(-0.416089\pi\) |
−0.705823 | + | 0.708388i | \(0.749423\pi\) | |||||||
\(434\) | −0.794037 | − | 2.94281i | −0.0381150 | − | 0.141260i | ||||
\(435\) | 4.04352 | − | 15.0025i | 0.193872 | − | 0.719314i | ||||
\(436\) | 4.13363 | + | 1.10760i | 0.197965 | + | 0.0530446i | ||||
\(437\) | 14.1439 | − | 52.7859i | 0.676597 | − | 2.52509i | ||||
\(438\) | 2.26376 | + | 1.31142i | 0.108167 | + | 0.0626620i | ||||
\(439\) | 38.3551i | 1.83059i | 0.402783 | + | 0.915295i | \(0.368043\pi\) | ||||
−0.402783 | + | 0.915295i | \(0.631957\pi\) | |||||||
\(440\) | 3.70236 | − | 13.8174i | 0.176503 | − | 0.658719i | ||||
\(441\) | −18.1807 | + | 10.5101i | −0.865746 | + | 0.500483i | ||||
\(442\) | 14.3057 | − | 12.6444i | 0.680454 | − | 0.601435i | ||||
\(443\) | 7.07201 | + | 4.08302i | 0.336001 | + | 0.193990i | 0.658502 | − | 0.752579i | \(-0.271190\pi\) |
−0.322501 | + | 0.946569i | \(0.604524\pi\) | |||||||
\(444\) | 0.948736 | − | 3.52005i | 0.0450250 | − | 0.167054i | ||||
\(445\) | −3.63982 | + | 6.30435i | −0.172544 | + | 0.298855i | ||||
\(446\) | 4.22614 | + | 7.31989i | 0.200113 | + | 0.346607i | ||||
\(447\) | −8.45768 | − | 31.7509i | −0.400034 | − | 1.50176i | ||||
\(448\) | −0.680305 | + | 2.55679i | −0.0321414 | + | 0.120797i | ||||
\(449\) | −1.10954 | + | 0.297299i | −0.0523622 | + | 0.0140304i | −0.284905 | − | 0.958556i | \(-0.591962\pi\) |
0.232543 | + | 0.972586i | \(0.425295\pi\) | |||||||
\(450\) | 12.3699 | + | 12.4427i | 0.583121 | + | 0.586555i | ||||
\(451\) | 40.1716 | 1.89161 | ||||||||
\(452\) | −1.44102 | + | 2.49592i | −0.0677800 | + | 0.117398i | ||||
\(453\) | 1.21632 | + | 4.56617i | 0.0571476 | + | 0.214537i | ||||
\(454\) | − | 23.7932i | − | 1.11667i | ||||||
\(455\) | 1.87835 | − | 31.3636i | 0.0880583 | − | 1.47035i | ||||
\(456\) | 9.12752 | + | 5.28766i | 0.427435 | + | 0.247617i | ||||
\(457\) | 0.359340 | + | 0.359340i | 0.0168092 | + | 0.0168092i | 0.715461 | − | 0.698652i | \(-0.246217\pi\) |
−0.698652 | + | 0.715461i | \(0.746217\pi\) | |||||||
\(458\) | −20.4755 | − | 11.8215i | −0.956757 | − | 0.552384i | ||||
\(459\) | −27.5154 | − | 0.121188i | −1.28431 | − | 0.00565656i | ||||
\(460\) | 28.5477 | − | 7.64932i | 1.33104 | − | 0.356651i | ||||
\(461\) | −4.16267 | − | 15.5353i | −0.193875 | − | 0.723551i | −0.992555 | − | 0.121795i | \(-0.961135\pi\) |
0.798680 | − | 0.601755i | \(-0.205532\pi\) | |||||||
\(462\) | 19.2259 | + | 5.14581i | 0.894468 | + | 0.239405i | ||||
\(463\) | 12.3374 | − | 12.3374i | 0.573369 | − | 0.573369i | −0.359699 | − | 0.933068i | \(-0.617121\pi\) |
0.933068 | + | 0.359699i | \(0.117121\pi\) | |||||||
\(464\) | 2.35873 | − | 1.36181i | 0.109501 | − | 0.0632205i | ||||
\(465\) | −3.27779 | − | 5.69660i | −0.152004 | − | 0.264173i | ||||
\(466\) | 7.31905 | + | 27.3151i | 0.339049 | + | 1.26535i | ||||
\(467\) | −15.5029 | + | 26.8517i | −0.717387 | + | 1.24255i | 0.244645 | + | 0.969613i | \(0.421329\pi\) |
−0.962032 | + | 0.272938i | \(0.912005\pi\) | |||||||
\(468\) | −8.99942 | − | 6.00088i | −0.415998 | − | 0.277391i | ||||
\(469\) | 25.9078 | − | 0.0452589i | 1.19631 | − | 0.00208986i | ||||
\(470\) | 13.8017 | + | 3.69816i | 0.636627 | + | 0.170584i | ||||
\(471\) | −2.95276 | + | 5.09703i | −0.136056 | + | 0.234859i | ||||
\(472\) | 0.807979i | 0.0371902i | ||||||||
\(473\) | 11.7490 | + | 3.14814i | 0.540221 | + | 0.144752i | ||||
\(474\) | 0.631668 | − | 0.629816i | 0.0290135 | − | 0.0289284i | ||||
\(475\) | 9.21858 | + | 34.4042i | 0.422977 | + | 1.57857i | ||||
\(476\) | 3.60248 | − | 13.5392i | 0.165120 | − | 0.620569i | ||||
\(477\) | −0.0503321 | + | 17.1417i | −0.00230455 | + | 0.784866i | ||||
\(478\) | 18.2716i | 0.835723i | ||||||||
\(479\) | −20.7236 | + | 5.55286i | −0.946883 | + | 0.253717i | −0.699039 | − | 0.715083i | \(-0.746389\pi\) |
−0.247844 | + | 0.968800i | \(0.579722\pi\) | |||||||
\(480\) | −0.00837533 | + | 5.70483i | −0.000382280 | + | 0.260389i | ||||
\(481\) | −5.68627 | + | 5.02594i | −0.259271 | + | 0.229163i | ||||
\(482\) | − | 17.5173i | − | 0.797893i | ||||||
\(483\) | 10.6537 | + | 39.7159i | 0.484761 | + | 1.80714i | ||||
\(484\) | −3.93126 | − | 6.80915i | −0.178694 | − | 0.309507i | ||||
\(485\) | 4.81616 | + | 8.34183i | 0.218690 | + | 0.378783i | ||||
\(486\) | 3.92395 | + | 15.0865i | 0.177994 | + | 0.684338i | ||||
\(487\) | −15.1480 | − | 15.1480i | −0.686420 | − | 0.686420i | 0.275019 | − | 0.961439i | \(-0.411316\pi\) |
−0.961439 | + | 0.275019i | \(0.911316\pi\) | |||||||
\(488\) | −0.613873 | + | 2.29100i | −0.0277887 | + | 0.103709i | ||||
\(489\) | 11.3007 | + | 42.4240i | 0.511037 | + | 1.91848i | ||||
\(490\) | −11.5976 | − | 19.9265i | −0.523927 | − | 0.900190i | ||||
\(491\) | −0.269785 | − | 0.467281i | −0.0121752 | − | 0.0210881i | 0.859874 | − | 0.510507i | \(-0.170542\pi\) |
−0.872049 | + | 0.489419i | \(0.837209\pi\) | |||||||
\(492\) | −15.4808 | + | 4.12372i | −0.697929 | + | 0.185912i | ||||
\(493\) | −12.4904 | + | 7.21133i | −0.562539 | + | 0.324782i | ||||
\(494\) | −9.78842 | − | 19.6561i | −0.440402 | − | 0.884369i | ||||
\(495\) | 42.9143 | + | 0.126006i | 1.92886 | + | 0.00566356i | ||||
\(496\) | 0.298174 | − | 1.11280i | 0.0133884 | − | 0.0499663i | ||||
\(497\) | 0.0399636 | + | 22.8766i | 0.00179261 | + | 1.02616i | ||||
\(498\) | 9.68192 | − | 5.57092i | 0.433857 | − | 0.249639i | ||||
\(499\) | 20.1500 | − | 5.39917i | 0.902036 | − | 0.241700i | 0.222146 | − | 0.975013i | \(-0.428694\pi\) |
0.679891 | + | 0.733314i | \(0.262027\pi\) | |||||||
\(500\) | −1.97592 | + | 1.97592i | −0.0883660 | + | 0.0883660i | ||||
\(501\) | −9.12668 | + | 2.43113i | −0.407750 | + | 0.108615i | ||||
\(502\) | 3.82322 | + | 14.2684i | 0.170639 | + | 0.636832i | ||||
\(503\) | −28.8447 | − | 16.6535i | −1.28612 | − | 0.742542i | −0.308161 | − | 0.951334i | \(-0.599714\pi\) |
−0.977960 | + | 0.208792i | \(0.933047\pi\) | |||||||
\(504\) | −7.93725 | − | 0.00943979i | −0.353553 | − | 0.000420482i | ||||
\(505\) | 30.7826 | + | 8.24817i | 1.36981 | + | 0.367039i | ||||
\(506\) | 19.4856 | − | 33.7500i | 0.866241 | − | 1.50037i | ||||
\(507\) | 8.74768 | + | 20.7480i | 0.388498 | + | 0.921450i | ||||
\(508\) | −4.75079 | − | 8.22861i | −0.210782 | − | 0.365086i | ||||
\(509\) | 16.6251 | − | 16.6251i | 0.736895 | − | 0.736895i | −0.235081 | − | 0.971976i | \(-0.575535\pi\) |
0.971976 | + | 0.235081i | \(0.0755354\pi\) | |||||||
\(510\) | 0.0443507 | − | 30.2093i | 0.00196388 | − | 1.33769i | ||||
\(511\) | −3.46438 | − | 1.99210i | −0.153255 | − | 0.0881252i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | −8.32501 | + | 30.5309i | −0.367558 | + | 1.34797i | ||||
\(514\) | 8.95859 | − | 8.95859i | 0.395147 | − | 0.395147i | ||||
\(515\) | −10.5957 | + | 39.5436i | −0.466901 | + | 1.74250i | ||||
\(516\) | −4.85085 | − | 0.00712159i | −0.213547 | − | 0.000313511i | ||||
\(517\) | 16.3169 | − | 9.42056i | 0.717616 | − | 0.414316i | ||||
\(518\) | −1.43192 | + | 5.38160i | −0.0629151 | + | 0.236454i | ||||
\(519\) | 11.9640 | − | 20.6521i | 0.525159 | − | 0.906527i | ||||
\(520\) | 6.55930 | − | 9.89974i | 0.287645 | − | 0.434132i | ||||
\(521\) | −23.1952 | + | 13.3918i | −1.01620 | + | 0.586705i | −0.913002 | − | 0.407956i | \(-0.866242\pi\) |
−0.103201 | + | 0.994661i | \(0.532908\pi\) | |||||||
\(522\) | 5.76069 | + | 5.79462i | 0.252138 | + | 0.253623i | ||||
\(523\) | 30.5791 | 1.33713 | 0.668566 | − | 0.743653i | \(-0.266908\pi\) | ||||
0.668566 | + | 0.743653i | \(0.266908\pi\) | |||||||
\(524\) | 2.71126 | − | 4.69605i | 0.118442 | − | 0.205148i | ||||
\(525\) | −18.9563 | − | 18.9457i | −0.827320 | − | 0.826858i | ||||
\(526\) | −0.919777 | + | 0.246453i | −0.0401042 | + | 0.0107459i | ||||
\(527\) | −1.57895 | + | 5.89272i | −0.0687802 | + | 0.256691i | ||||
\(528\) | 5.31138 | + | 5.32699i | 0.231148 | + | 0.231828i | ||||
\(529\) | 57.5170 | 2.50074 | ||||||||
\(530\) | −18.8199 | −0.817486 | ||||||||
\(531\) | −2.34317 | + | 0.620483i | −0.101685 | + | 0.0269267i | ||||
\(532\) | −13.9684 | − | 8.03217i | −0.605608 | − | 0.348239i | ||||
\(533\) | 31.6211 | + | 10.5971i | 1.36966 | + | 0.459012i | ||||
\(534\) | −1.90920 | − | 3.31807i | −0.0826191 | − | 0.143587i | ||||
\(535\) | −23.5221 | + | 6.30274i | −1.01695 | + | 0.272491i | ||||
\(536\) | 8.48034 | + | 4.89613i | 0.366295 | + | 0.211481i | ||||
\(537\) | −15.4041 | − | 0.0226149i | −0.664736 | − | 0.000975906i | ||||
\(538\) | 16.4264 | + | 16.4264i | 0.708194 | + | 0.708194i | ||||
\(539\) | −29.3931 | − | 7.76589i | −1.26605 | − | 0.334501i | ||||
\(540\) | −16.5507 | + | 4.35671i | −0.712229 | + | 0.187483i | ||||
\(541\) | 4.33430 | + | 16.1758i | 0.186346 | + | 0.695454i | 0.994338 | + | 0.106260i | \(0.0338877\pi\) |
−0.807992 | + | 0.589193i | \(0.799446\pi\) | |||||||
\(542\) | 26.9816i | 1.15896i | ||||||||
\(543\) | 30.4243 | − | 17.5060i | 1.30563 | − | 0.751254i | ||||
\(544\) | 3.74441 | − | 3.74441i | 0.160540 | − | 0.160540i | ||||
\(545\) | −14.0952 | −0.603772 | ||||||||
\(546\) | 13.7762 | + | 9.12224i | 0.589568 | + | 0.390396i | ||||
\(547\) | −9.21981 | −0.394210 | −0.197105 | − | 0.980382i | \(-0.563154\pi\) | ||||
−0.197105 | + | 0.980382i | \(0.563154\pi\) | |||||||
\(548\) | 1.66912 | − | 1.66912i | 0.0713011 | − | 0.0713011i | ||||
\(549\) | −7.11544 | − | 0.0208926i | −0.303679 | − | 0.000891673i | ||||
\(550\) | 25.4002i | 1.08307i | ||||||||
\(551\) | 4.29313 | + | 16.0222i | 0.182893 | + | 0.682567i | ||||
\(552\) | −4.04458 | + | 15.0064i | −0.172149 | + | 0.638715i | ||||
\(553\) | −0.961791 | + | 0.965157i | −0.0408995 | + | 0.0410427i | ||||
\(554\) | −12.5808 | − | 12.5808i | −0.534508 | − | 0.534508i | ||||
\(555\) | −0.0176286 | + | 12.0077i | −0.000748292 | + | 0.509697i | ||||
\(556\) | −12.1156 | − | 6.99492i | −0.513814 | − | 0.296651i | ||||
\(557\) | 16.7620 | − | 4.49136i | 0.710227 | − | 0.190305i | 0.114420 | − | 0.993432i | \(-0.463499\pi\) |
0.595807 | + | 0.803128i | \(0.296832\pi\) | |||||||
\(558\) | 3.45616 | + | 0.0101481i | 0.146311 | + | 0.000429602i | ||||
\(559\) | 8.41780 | + | 5.57741i | 0.356035 | + | 0.235899i | ||||
\(560\) | −0.0152231 | − | 8.71427i | −0.000643295 | − | 0.368245i | ||||
\(561\) | −28.1258 | − | 28.2085i | −1.18747 | − | 1.19096i | ||||
\(562\) | −24.6886 | −1.04142 | ||||||||
\(563\) | 4.16812 | 0.175665 | 0.0878327 | − | 0.996135i | \(-0.472006\pi\) | ||||
0.0878327 | + | 0.996135i | \(0.472006\pi\) | |||||||
\(564\) | −5.32095 | + | 5.30535i | −0.224052 | + | 0.223396i | ||||
\(565\) | 2.45686 | − | 9.16911i | 0.103361 | − | 0.385748i | ||||
\(566\) | −0.688476 | + | 0.184477i | −0.0289388 | + | 0.00775413i | ||||
\(567\) | −6.06800 | − | 23.0256i | −0.254832 | − | 0.966985i | ||||
\(568\) | −4.32328 | + | 7.48814i | −0.181401 | + | 0.314195i | ||||
\(569\) | −33.3010 | −1.39605 | −0.698025 | − | 0.716073i | \(-0.745938\pi\) | ||||
−0.698025 | + | 0.716073i | \(0.745938\pi\) | |||||||
\(570\) | −33.5464 | − | 9.04155i | −1.40511 | − | 0.378709i | ||||
\(571\) | −9.65851 | + | 5.57634i | −0.404196 | + | 0.233363i | −0.688293 | − | 0.725433i | \(-0.741640\pi\) |
0.284097 | + | 0.958796i | \(0.408306\pi\) | |||||||
\(572\) | −3.11462 | − | 15.3464i | −0.130229 | − | 0.641665i | ||||
\(573\) | 24.1555 | + | 13.9935i | 1.00911 | + | 0.584587i | ||||
\(574\) | 23.6270 | − | 6.37508i | 0.986170 | − | 0.266091i | ||||
\(575\) | −45.4477 | + | 26.2392i | −1.89530 | + | 1.09425i | ||||
\(576\) | −2.59366 | − | 1.50762i | −0.108069 | − | 0.0628176i | ||||
\(577\) | −2.15277 | + | 8.03426i | −0.0896211 | + | 0.334470i | −0.996149 | − | 0.0876752i | \(-0.972056\pi\) |
0.906528 | + | 0.422146i | \(0.138723\pi\) | |||||||
\(578\) | −7.80730 | + | 7.80730i | −0.324741 | + | 0.324741i | ||||
\(579\) | 27.9052 | − | 27.8233i | 1.15970 | − | 1.15630i | ||||
\(580\) | −6.34329 | + | 6.34329i | −0.263391 | + | 0.263391i | ||||
\(581\) | −14.7619 | + | 8.55723i | −0.612428 | + | 0.355014i | ||||
\(582\) | −5.06533 | − | 0.00743647i | −0.209965 | − | 0.000308252i | ||||
\(583\) | −17.5477 | + | 17.5477i | −0.726752 | + | 0.726752i | ||||
\(584\) | −0.755228 | − | 1.30809i | −0.0312516 | − | 0.0541293i | ||||
\(585\) | 33.7469 | + | 11.4198i | 1.39526 | + | 0.472152i | ||||
\(586\) | −0.373249 | + | 0.646486i | −0.0154188 | + | 0.0267061i | ||||
\(587\) | 7.42137 | + | 1.98855i | 0.306313 | + | 0.0820762i | 0.408701 | − | 0.912668i | \(-0.365982\pi\) |
−0.102389 | + | 0.994744i | \(0.532648\pi\) | |||||||
\(588\) | 12.1243 | − | 0.0245606i | 0.499999 | − | 0.00101286i | ||||
\(589\) | 6.07624 | + | 3.50812i | 0.250367 | + | 0.144550i | ||||
\(590\) | −0.688778 | − | 2.57055i | −0.0283565 | − | 0.105828i | ||||
\(591\) | −11.4745 | − | 43.0763i | −0.471998 | − | 1.77192i | ||||
\(592\) | −1.48834 | + | 1.48834i | −0.0611702 | + | 0.0611702i | ||||
\(593\) | 23.6622 | − | 6.34027i | 0.971690 | − | 0.260364i | 0.262149 | − | 0.965027i | \(-0.415569\pi\) |
0.709541 | + | 0.704664i | \(0.248902\pi\) | |||||||
\(594\) | −11.3697 | + | 19.4941i | −0.466503 | + | 0.799851i | ||||
\(595\) | 0.0806125 | + | 46.1455i | 0.00330479 | + | 1.89178i | ||||
\(596\) | −4.90995 | + | 18.3242i | −0.201119 | + | 0.750588i | ||||
\(597\) | −25.0214 | + | 14.3971i | −1.02406 | + | 0.589236i | ||||
\(598\) | 24.2413 | − | 21.4262i | 0.991299 | − | 0.876182i | ||||
\(599\) | 36.9189 | − | 21.3151i | 1.50846 | − | 0.870913i | 0.508513 | − | 0.861054i | \(-0.330195\pi\) |
0.999951 | − | 0.00985856i | \(-0.00313813\pi\) | |||||||
\(600\) | −2.60740 | − | 9.78841i | −0.106447 | − | 0.399610i | ||||
\(601\) | 15.8340 | + | 27.4254i | 0.645884 | + | 1.11870i | 0.984097 | + | 0.177634i | \(0.0568443\pi\) |
−0.338213 | + | 0.941070i | \(0.609822\pi\) | |||||||
\(602\) | 7.40980 | − | 0.0129443i | 0.302001 | − | 0.000527571i | ||||
\(603\) | −7.68655 | + | 28.3533i | −0.313021 | + | 1.15464i | ||||
\(604\) | 0.706111 | − | 2.63524i | 0.0287313 | − | 0.107227i | ||||
\(605\) | 18.3118 | + | 18.3118i | 0.744479 | + | 0.744479i | ||||
\(606\) | −11.8675 | + | 11.8327i | −0.482086 | + | 0.480672i | ||||
\(607\) | −14.9467 | − | 25.8884i | −0.606668 | − | 1.05078i | −0.991786 | − | 0.127912i | \(-0.959172\pi\) |
0.385118 | − | 0.922867i | \(-0.374161\pi\) | |||||||
\(608\) | −3.04509 | − | 5.27425i | −0.123495 | − | 0.213899i | ||||
\(609\) | −8.82801 | − | 8.82308i | −0.357729 | − | 0.357529i | ||||
\(610\) | − | 7.81205i | − | 0.316301i | ||||||
\(611\) | 15.3290 | − | 3.11108i | 0.620145 | − | 0.125861i | ||||
\(612\) | 13.7345 | + | 7.98345i | 0.555182 | + | 0.322712i | ||||
\(613\) | 6.84784 | − | 1.83487i | 0.276582 | − | 0.0741098i | −0.117862 | − | 0.993030i | \(-0.537604\pi\) |
0.394444 | + | 0.918920i | \(0.370937\pi\) | |||||||
\(614\) | − | 24.4878i | − | 0.988246i | ||||||
\(615\) | 45.7363 | − | 26.3164i | 1.84426 | − | 1.06118i | ||||
\(616\) | −8.13938 | − | 8.11099i | −0.327945 | − | 0.326801i | ||||
\(617\) | −1.58171 | − | 5.90302i | −0.0636772 | − | 0.237647i | 0.926751 | − | 0.375677i | \(-0.122590\pi\) |
−0.990428 | + | 0.138030i | \(0.955923\pi\) | |||||||
\(618\) | −15.2004 | − | 15.2451i | −0.611452 | − | 0.613250i | ||||
\(619\) | −17.8860 | − | 4.79255i | −0.718900 | − | 0.192629i | −0.119219 | − | 0.992868i | \(-0.538039\pi\) |
−0.599681 | + | 0.800239i | \(0.704706\pi\) | |||||||
\(620\) | 3.79452i | 0.152392i | ||||||||
\(621\) | −46.6253 | − | 0.205355i | −1.87101 | − | 0.00824059i | ||||
\(622\) | 12.0529 | + | 3.22956i | 0.483277 | + | 0.129494i | ||||
\(623\) | 2.93263 | + | 5.05903i | 0.117493 | + | 0.202686i | ||||
\(624\) | 2.77562 | + | 5.59428i | 0.111114 | + | 0.223950i | ||||
\(625\) | −10.0191 | + | 17.3536i | −0.400764 | + | 0.694144i | ||||
\(626\) | −3.50747 | − | 13.0901i | −0.140187 | − | 0.523184i | ||||
\(627\) | −39.7090 | + | 22.8484i | −1.58583 | + | 0.912475i | ||||
\(628\) | 2.94527 | − | 1.70045i | 0.117529 | − | 0.0678555i | ||||
\(629\) | 7.88132 | − | 7.88132i | 0.314249 | − | 0.314249i | ||||
\(630\) | 25.2601 | − | 6.73623i | 1.00639 | − | 0.268378i | ||||
\(631\) | −7.50820 | − | 28.0210i | −0.298897 | − | 1.11550i | −0.938073 | − | 0.346438i | \(-0.887391\pi\) |
0.639176 | − | 0.769060i | \(-0.279275\pi\) | |||||||
\(632\) | −0.497451 | + | 0.133292i | −0.0197875 | + | 0.00530206i | ||||
\(633\) | 7.85825 | − | 13.5649i | 0.312338 | − | 0.539155i | ||||
\(634\) | −9.53199 | − | 5.50330i | −0.378564 | − | 0.218564i | ||||
\(635\) | 22.1291 | + | 22.1291i | 0.878167 | + | 0.878167i | ||||
\(636\) | 4.96099 | − | 8.56363i | 0.196716 | − | 0.339570i | ||||
\(637\) | −21.0882 | − | 13.8667i | −0.835546 | − | 0.549420i | ||||
\(638\) | 11.8290i | 0.468313i | ||||||||
\(639\) | −25.0360 | − | 6.78722i | −0.990408 | − | 0.268498i | ||||
\(640\) | 1.64685 | − | 2.85242i | 0.0650973 | − | 0.112752i | ||||
\(641\) | −9.87085 | −0.389875 | −0.194938 | − | 0.980816i | \(-0.562450\pi\) | ||||
−0.194938 | + | 0.980816i | \(0.562450\pi\) | |||||||
\(642\) | 3.33257 | − | 12.3647i | 0.131526 | − | 0.487995i | ||||
\(643\) | −32.4863 | + | 8.70468i | −1.28114 | + | 0.343279i | −0.834287 | − | 0.551331i | \(-0.814120\pi\) |
−0.446848 | + | 0.894610i | \(0.647454\pi\) | |||||||
\(644\) | 6.10447 | − | 22.9424i | 0.240550 | − | 0.904058i | ||||
\(645\) | 15.4389 | − | 4.11255i | 0.607905 | − | 0.161932i | ||||
\(646\) | 16.1250 | + | 27.9293i | 0.634428 | + | 1.09886i | ||||
\(647\) | 3.41124 | − | 5.90844i | 0.134110 | − | 0.232285i | −0.791147 | − | 0.611626i | \(-0.790516\pi\) |
0.925257 | + | 0.379341i | \(0.123849\pi\) | |||||||
\(648\) | 2.38038 | − | 8.67950i | 0.0935102 | − | 0.340963i | ||||
\(649\) | −3.03900 | − | 1.75457i | −0.119291 | − | 0.0688728i | ||||
\(650\) | −6.70048 | + | 19.9938i | −0.262814 | + | 0.784223i | ||||
\(651\) | −5.27939 | + | 0.00147194i | −0.206916 | + | 5.76898e-5i | ||||
\(652\) | 6.56044 | − | 24.4839i | 0.256927 | − | 0.958863i | ||||
\(653\) | − | 32.9646i | − | 1.29000i | −0.764181 | − | 0.645001i | \(-0.776857\pi\) | ||
0.764181 | − | 0.645001i | \(-0.223143\pi\) | |||||||
\(654\) | 3.71553 | − | 6.41373i | 0.145289 | − | 0.250797i | ||||
\(655\) | −4.62254 | + | 17.2516i | −0.180618 | + | 0.674074i | ||||
\(656\) | 8.93434 | + | 2.39395i | 0.348828 | + | 0.0934681i | ||||
\(657\) | 3.21356 | − | 3.19474i | 0.125373 | − | 0.124639i | ||||
\(658\) | 8.10179 | − | 8.13015i | 0.315841 | − | 0.316946i | ||||
\(659\) | −19.5631 | − | 11.2948i | −0.762072 | − | 0.439982i | 0.0679673 | − | 0.997688i | \(-0.478349\pi\) |
−0.830039 | + | 0.557705i | \(0.811682\pi\) | |||||||
\(660\) | −21.4390 | − | 12.4198i | −0.834514 | − | 0.483442i | ||||
\(661\) | −2.91222 | − | 10.8686i | −0.113272 | − | 0.422738i | 0.885880 | − | 0.463915i | \(-0.153556\pi\) |
−0.999152 | + | 0.0411773i | \(0.986889\pi\) | |||||||
\(662\) | 1.87723 | + | 3.25146i | 0.0729606 | + | 0.126371i | ||||
\(663\) | −14.6980 | − | 29.6239i | −0.570823 | − | 1.15050i | ||||
\(664\) | −6.44915 | −0.250276 | ||||||||
\(665\) | 51.2872 | + | 13.6464i | 1.98883 | + | 0.529184i | ||||
\(666\) | −5.45920 | − | 3.17328i | −0.211540 | − | 0.122962i | ||||
\(667\) | −21.1652 | + | 12.2197i | −0.819518 | + | 0.473149i | ||||
\(668\) | 5.26722 | + | 1.41135i | 0.203795 | + | 0.0546067i | ||||
\(669\) | 14.1465 | − | 3.76829i | 0.546935 | − | 0.145690i | ||||
\(670\) | −31.1537 | − | 8.34761i | −1.20357 | − | 0.322496i | ||||
\(671\) | −7.28395 | − | 7.28395i | −0.281194 | − | 0.281194i | ||||
\(672\) | 3.96927 | + | 2.29018i | 0.153118 | + | 0.0883457i | ||||
\(673\) | 12.2810 | − | 7.09042i | 0.473396 | − | 0.273315i | −0.244264 | − | 0.969709i | \(-0.578546\pi\) |
0.717660 | + | 0.696393i | \(0.245213\pi\) | |||||||
\(674\) | −7.73506 | − | 7.73506i | −0.297943 | − | 0.297943i | ||||
\(675\) | 26.3845 | − | 15.0785i | 1.01554 | − | 0.580373i | ||||
\(676\) | 1.59665 | − | 12.9016i | 0.0614094 | − | 0.496215i | ||||
\(677\) | 17.7006 | + | 10.2195i | 0.680291 | + | 0.392766i | 0.799965 | − | 0.600047i | \(-0.204852\pi\) |
−0.119674 | + | 0.992813i | \(0.538185\pi\) | |||||||
\(678\) | 3.52458 | + | 3.53495i | 0.135361 | + | 0.135759i | ||||
\(679\) | 7.73742 | − | 0.0135167i | 0.296935 | − | 0.000518722i | ||||
\(680\) | −8.72070 | + | 15.1047i | −0.334423 | + | 0.579238i | ||||
\(681\) | −39.7911 | − | 10.7246i | −1.52480 | − | 0.410968i | ||||
\(682\) | 3.53801 | + | 3.53801i | 0.135477 | + | 0.135477i | ||||
\(683\) | −5.99503 | − | 5.99503i | −0.229394 | − | 0.229394i | 0.583046 | − | 0.812439i | \(-0.301861\pi\) |
−0.812439 | + | 0.583046i | \(0.801861\pi\) | |||||||
\(684\) | 12.9571 | − | 12.8812i | 0.495428 | − | 0.492527i | ||||
\(685\) | −3.88736 | + | 6.73310i | −0.148528 | + | 0.257258i | ||||
\(686\) | −18.5200 | + | 0.0970597i | −0.707097 | + | 0.00370576i | ||||
\(687\) | −28.9992 | + | 28.9142i | −1.10639 | + | 1.10314i | ||||
\(688\) | 2.42543 | + | 1.40032i | 0.0924686 | + | 0.0533868i | ||||
\(689\) | −18.4417 | + | 9.18370i | −0.702574 | + | 0.349871i | ||||
\(690\) | 0.0751529 | − | 51.1902i | 0.00286102 | − | 1.94878i | ||||
\(691\) | 5.47799 | + | 5.47799i | 0.208392 | + | 0.208392i | 0.803584 | − | 0.595191i | \(-0.202924\pi\) |
−0.595191 | + | 0.803584i | \(0.702924\pi\) | |||||||
\(692\) | −11.9336 | + | 6.88988i | −0.453648 | + | 0.261914i | ||||
\(693\) | 17.2716 | − | 29.8334i | 0.656095 | − | 1.13328i | ||||
\(694\) | −10.7658 | − | 10.7658i | −0.408663 | − | 0.408663i | ||||
\(695\) | 44.5082 | + | 11.9259i | 1.68829 | + | 0.452376i | ||||
\(696\) | −1.21428 | − | 4.55850i | −0.0460270 | − | 0.172789i | ||||
\(697\) | −47.3109 | − | 12.6769i | −1.79203 | − | 0.480172i | ||||
\(698\) | 21.6120 | − | 12.4777i | 0.818026 | − | 0.472287i | ||||
\(699\) | 48.9800 | + | 0.0719081i | 1.85259 | + | 0.00271981i | ||||
\(700\) | 4.03092 | + | 14.9392i | 0.152354 | + | 0.564647i | ||||
\(701\) | 27.6757 | 1.04530 | 0.522649 | − | 0.852548i | \(-0.324944\pi\) | ||||
0.522649 | + | 0.852548i | \(0.324944\pi\) | |||||||
\(702\) | −14.0921 | + | 12.3455i | −0.531873 | + | 0.465952i | ||||
\(703\) | −6.40938 | − | 11.1014i | −0.241734 | − | 0.418696i | ||||
\(704\) | −1.12408 | − | 4.19511i | −0.0423653 | − | 0.158109i | ||||
\(705\) | 12.4057 | − | 21.4147i | 0.467228 | − | 0.806525i | ||||
\(706\) | 0.534562 | + | 0.308629i | 0.0201185 | + | 0.0116154i | ||||
\(707\) | 18.0698 | − | 18.1330i | 0.679583 | − | 0.681962i | ||||
\(708\) | 1.35124 | + | 0.364191i | 0.0507828 | + | 0.0136871i | ||||
\(709\) | 9.06615 | + | 2.42927i | 0.340486 | + | 0.0912331i | 0.425011 | − | 0.905188i | \(-0.360270\pi\) |
−0.0845242 | + | 0.996421i | \(0.526937\pi\) | |||||||
\(710\) | 7.37093 | − | 27.5087i | 0.276626 | − | 1.03238i | ||||
\(711\) | −0.768567 | − | 1.34027i | −0.0288235 | − | 0.0502640i | ||||
\(712\) | 2.21018i | 0.0828298i | ||||||||
\(713\) | −2.67556 | + | 9.98531i | −0.100200 | + | 0.373953i | ||||
\(714\) | −21.0188 | − | 12.1274i | −0.786610 | − | 0.453857i | ||||
\(715\) | 22.9914 | + | 46.1689i | 0.859829 | + | 1.72662i | ||||
\(716\) | 7.70206 | + | 4.44678i | 0.287839 | + | 0.166184i | ||||
\(717\) | 30.5569 | + | 8.23580i | 1.14117 | + | 0.307572i | ||||
\(718\) | −15.0112 | + | 26.0001i | −0.560213 | + | 0.970317i | ||||
\(719\) | 9.11577 | + | 15.7890i | 0.339961 | + | 0.588829i | 0.984425 | − | 0.175805i | \(-0.0562529\pi\) |
−0.644464 | + | 0.764634i | \(0.722920\pi\) | |||||||
\(720\) | 9.53683 | + | 2.58542i | 0.355417 | + | 0.0963530i | ||||
\(721\) | 23.2938 | + | 23.2126i | 0.867507 | + | 0.864481i | ||||
\(722\) | 17.4739 | − | 4.68213i | 0.650313 | − | 0.174251i | ||||
\(723\) | −29.2955 | − | 7.89583i | −1.08951 | − | 0.293649i | ||||
\(724\) | −20.2657 | −0.753170 | ||||||||
\(725\) | 7.96442 | − | 13.7948i | 0.295791 | − | 0.512325i | ||||
\(726\) | −13.1594 | + | 3.50536i | −0.488392 | + | 0.130096i | ||||
\(727\) | 2.16371i | 0.0802476i | 0.999195 | + | 0.0401238i | \(0.0127752\pi\) | ||||
−0.999195 | + | 0.0401238i | \(0.987225\pi\) | |||||||
\(728\) | −4.26728 | − | 8.53172i | −0.158156 | − | 0.316207i | ||||
\(729\) | 26.9990 | + | 0.237831i | 0.999961 | + | 0.00880855i | ||||
\(730\) | 3.51784 | + | 3.51784i | 0.130201 | + | 0.130201i | ||||
\(731\) | −12.8436 | − | 7.41526i | −0.475038 | − | 0.274263i | ||||
\(732\) | 3.55471 | + | 2.05928i | 0.131386 | + | 0.0761132i | ||||
\(733\) | 12.5511 | − | 3.36306i | 0.463586 | − | 0.124218i | −0.0194633 | − | 0.999811i | \(-0.506196\pi\) |
0.483050 | + | 0.875593i | \(0.339529\pi\) | |||||||
\(734\) | 3.97882 | + | 14.8491i | 0.146861 | + | 0.548092i | ||||
\(735\) | −38.5522 | + | 10.4138i | −1.42202 | + | 0.384118i | ||||
\(736\) | 6.34496 | − | 6.34496i | 0.233878 | − | 0.233878i | ||||
\(737\) | −36.8310 | + | 21.2644i | −1.35669 | + | 0.783284i | ||||
\(738\) | −0.0814757 | + | 27.7484i | −0.00299916 | + | 1.02143i | ||||
\(739\) | −12.4554 | − | 46.4840i | −0.458178 | − | 1.70994i | −0.678574 | − | 0.734532i | \(-0.737402\pi\) |
0.220396 | − | 0.975410i | \(-0.429265\pi\) | |||||||
\(740\) | 3.46632 | − | 6.00384i | 0.127424 | − | 0.220706i | ||||
\(741\) | −37.2844 | + | 7.51004i | −1.36967 | + | 0.275888i | ||||
\(742\) | −7.53594 | + | 13.1055i | −0.276653 | + | 0.481116i | ||||
\(743\) | −3.84387 | − | 1.02996i | −0.141018 | − | 0.0377857i | 0.187620 | − | 0.982242i | \(-0.439923\pi\) |
−0.328638 | + | 0.944456i | \(0.606589\pi\) | |||||||
\(744\) | −1.72662 | − | 1.00025i | −0.0633009 | − | 0.0366708i | ||||
\(745\) | − | 62.4833i | − | 2.28921i | ||||||
\(746\) | 32.6062 | + | 8.73680i | 1.19380 | + | 0.319877i | ||||
\(747\) | −4.95260 | − | 18.7028i | −0.181206 | − | 0.684301i | ||||
\(748\) | 5.95243 | + | 22.2148i | 0.217642 | + | 0.812253i | ||||
\(749\) | −5.02984 | + | 18.9036i | −0.183786 | + | 0.690724i | ||||
\(750\) | 2.41385 | + | 4.19511i | 0.0881412 | + | 0.153184i | ||||
\(751\) | 13.8056i | 0.503772i | 0.967757 | + | 0.251886i | \(0.0810508\pi\) | ||||
−0.967757 | + | 0.251886i | \(0.918949\pi\) | |||||||
\(752\) | 4.19035 | − | 1.12280i | 0.152806 | − | 0.0409444i | ||||
\(753\) | 25.5855 | + | 0.0375623i | 0.932386 | + | 0.00136885i | ||||
\(754\) | −3.12044 | + | 9.31120i | −0.113640 | + | 0.339094i | ||||
\(755\) | 8.98587i | 0.327029i | ||||||||
\(756\) | −3.59345 | + | 13.2698i | −0.130692 | + | 0.482617i | ||||
\(757\) | −12.0187 | − | 20.8170i | −0.436826 | − | 0.756606i | 0.560616 | − | 0.828076i | \(-0.310564\pi\) |
−0.997443 | + | 0.0714701i | \(0.977231\pi\) | |||||||
\(758\) | 3.18194 | + | 5.51128i | 0.115573 | + | 0.200179i | ||||
\(759\) | −47.6597 | − | 47.7998i | −1.72994 | − | 1.73502i | ||||
\(760\) | 14.1840 | + | 14.1840i | 0.514507 | + | 0.514507i | ||||
\(761\) | 2.99416 | − | 11.1743i | 0.108538 | − | 0.405070i | −0.890184 | − | 0.455600i | \(-0.849425\pi\) |
0.998723 | + | 0.0505307i | \(0.0160913\pi\) | |||||||
\(762\) | −15.9027 | + | 4.23610i | −0.576094 | + | 0.153458i | ||||
\(763\) | −5.64404 | + | 9.81533i | −0.204328 | + | 0.355339i | ||||
\(764\) | −8.05867 | − | 13.9580i | −0.291553 | − | 0.504984i | ||||
\(765\) | −50.5013 | − | 13.6908i | −1.82588 | − | 0.494993i | ||||
\(766\) | 26.8578 | − | 15.5063i | 0.970410 | − | 0.560267i | ||||
\(767\) | −1.92931 | − | 2.18279i | −0.0696632 | − | 0.0788159i | ||||
\(768\) | 0.863822 | + | 1.50127i | 0.0311705 | + | 0.0541724i | ||||
\(769\) | −5.93685 | + | 22.1566i | −0.214088 | + | 0.798988i | 0.772397 | + | 0.635140i | \(0.219057\pi\) |
−0.986486 | + | 0.163848i | \(0.947609\pi\) | |||||||
\(770\) | 32.8095 | + | 18.8662i | 1.18237 | + | 0.679892i | ||||
\(771\) | −10.9441 | − | 19.0201i | −0.394141 | − | 0.684993i | ||||
\(772\) | −21.9759 | + | 5.88842i | −0.790929 | + | 0.211929i | ||||
\(773\) | −1.41642 | + | 1.41642i | −0.0509449 | + | 0.0509449i | −0.732120 | − | 0.681175i | \(-0.761469\pi\) |
0.681175 | + | 0.732120i | \(0.261469\pi\) | |||||||
\(774\) | −2.19840 | + | 8.10923i | −0.0790199 | + | 0.291480i | ||||
\(775\) | −1.74384 | − | 6.50811i | −0.0626407 | − | 0.233778i | ||||
\(776\) | 2.53267 | + | 1.46224i | 0.0909175 | + | 0.0524913i | ||||
\(777\) | 8.35461 | + | 4.82043i | 0.299720 | + | 0.172932i | ||||
\(778\) | 2.12296 | + | 0.568847i | 0.0761120 | + | 0.0203941i | ||||
\(779\) | −28.1656 | + | 48.7843i | −1.00914 | + | 1.74788i | ||||
\(780\) | −13.5995 | − | 15.4318i | −0.486940 | − | 0.552549i | ||||
\(781\) | −18.7764 | − | 32.5217i | −0.671874 | − | 1.16372i | ||||
\(782\) | −33.5991 | + | 33.5991i | −1.20150 | + | 1.20150i | ||||
\(783\) | 12.2873 | − | 7.02213i | 0.439114 | − | 0.250950i | ||||
\(784\) | −6.07437 | − | 3.47880i | −0.216942 | − | 0.124243i | ||||
\(785\) | −7.92068 | + | 7.92068i | −0.282701 | + | 0.282701i | ||||
\(786\) | −6.63146 | − | 6.65096i | −0.236536 | − | 0.237232i | ||||
\(787\) | −13.9180 | + | 13.9180i | −0.496123 | + | 0.496123i | −0.910229 | − | 0.414106i | \(-0.864094\pi\) |
0.414106 | + | 0.910229i | \(0.364094\pi\) | |||||||
\(788\) | −6.66131 | + | 24.8603i | −0.237299 | + | 0.885613i | ||||
\(789\) | −0.00242135 | + | 1.64930i | −8.62024e−5 | + | 0.0587165i | ||||
\(790\) | 1.46899 | − | 0.848124i | 0.0522645 | − | 0.0301749i | ||||
\(791\) | −5.40122 | − | 5.38238i | −0.192045 | − | 0.191376i | ||||
\(792\) | 11.3028 | − | 6.48149i | 0.401627 | − | 0.230310i | ||||
\(793\) | −3.81210 | − | 7.65506i | −0.135372 | − | 0.271839i | ||||
\(794\) | 12.7609 | − | 7.36753i | 0.452869 | − | 0.261464i | ||||
\(795\) | −8.48296 | + | 31.4740i | −0.300860 | + | 1.11627i | ||||
\(796\) | 16.6668 | 0.590739 | ||||||||
\(797\) | 2.21480 | − | 3.83615i | 0.0784524 | − | 0.135883i | −0.824130 | − | 0.566401i | \(-0.808335\pi\) |
0.902582 | + | 0.430517i | \(0.141669\pi\) | |||||||
\(798\) | −19.7290 | + | 19.7400i | −0.698397 | + | 0.698787i | ||||
\(799\) | −22.1896 | + | 5.94568i | −0.785011 | + | 0.210343i | ||||
\(800\) | −1.51368 | + | 5.64912i | −0.0535166 | + | 0.199727i | ||||
\(801\) | −6.40961 | + | 1.69729i | −0.226472 | + | 0.0599709i | ||||
\(802\) | −1.81682 | −0.0641543 | ||||||||
\(803\) | 6.56006 | 0.231500 | ||||||||
\(804\) | 12.0106 | − | 11.9754i | 0.423582 | − | 0.422340i | ||||
\(805\) | 0.136599 | + | 78.1943i | 0.00481449 | + | 2.75599i | ||||
\(806\) | 1.85164 | + | 3.71827i | 0.0652212 | + | 0.130970i | ||||
\(807\) | 34.8752 | − | 20.0670i | 1.22767 | − | 0.706392i | ||||
\(808\) | 9.34592 | − | 2.50423i | 0.328788 | − | 0.0880986i | ||||
\(809\) | 7.64391 | + | 4.41322i | 0.268746 | + | 0.155160i | 0.628317 | − | 0.777957i | \(-0.283744\pi\) |
−0.359572 | + | 0.933117i | \(0.617077\pi\) | |||||||
\(810\) | −0.174077 | + | 29.6427i | −0.00611645 | + | 1.04154i | ||||
\(811\) | −18.3979 | − | 18.3979i | −0.646037 | − | 0.646037i | 0.305996 | − | 0.952033i | \(-0.401011\pi\) |
−0.952033 | + | 0.305996i | \(0.901011\pi\) | |||||||
\(812\) | 1.87721 | + | 6.95722i | 0.0658773 | + | 0.244151i | ||||
\(813\) | 45.1233 | + | 12.1618i | 1.58254 | + | 0.426532i | ||||
\(814\) | −2.36598 | − | 8.82998i | −0.0829277 | − | 0.309490i | ||||
\(815\) | 83.4871i | 2.92443i | ||||||||
\(816\) | −4.57428 | − | 7.94981i | −0.160132 | − | 0.278299i | ||||
\(817\) | −12.0607 | + | 12.0607i | −0.421951 | + | 0.421951i | ||||
\(818\) | 24.8655 | 0.869403 | ||||||||
\(819\) | 21.4653 | − | 18.9272i | 0.750060 | − | 0.661370i | ||||
\(820\) | −30.4650 | −1.06389 | ||||||||
\(821\) | −4.50941 | + | 4.50941i | −0.157379 | + | 0.157379i | −0.781404 | − | 0.624025i | \(-0.785496\pi\) |
0.624025 | + | 0.781404i | \(0.285496\pi\) | |||||||
\(822\) | −2.03904 | − | 3.54373i | −0.0711197 | − | 0.123602i | ||||
\(823\) | − | 6.90731i | − | 0.240774i | −0.992727 | − | 0.120387i | \(-0.961586\pi\) | ||
0.992727 | − | 0.120387i | \(-0.0384135\pi\) | |||||||
\(824\) | 3.21696 | + | 12.0059i | 0.112068 | + | 0.418244i | ||||
\(825\) | 42.4786 | + | 11.4490i | 1.47892 | + | 0.398602i | ||||
\(826\) | −2.06583 | − | 0.549672i | −0.0718795 | − | 0.0191255i | ||||
\(827\) | 7.55620 | + | 7.55620i | 0.262755 | + | 0.262755i | 0.826172 | − | 0.563418i | \(-0.190514\pi\) |
−0.563418 | + | 0.826172i | \(0.690514\pi\) | |||||||
\(828\) | 23.2732 | + | 13.5281i | 0.808801 | + | 0.470133i | ||||
\(829\) | −29.0721 | − | 16.7848i | −1.00972 | − | 0.582959i | −0.0986071 | − | 0.995126i | \(-0.531439\pi\) |
−0.911108 | + | 0.412167i | \(0.864772\pi\) | |||||||
\(830\) | 20.5177 | − | 5.49771i | 0.712181 | − | 0.190828i | ||||
\(831\) | −26.7105 | + | 15.3691i | −0.926579 | + | 0.533148i | ||||
\(832\) | 0.221835 | − | 3.59872i | 0.00769075 | − | 0.124763i | ||||
\(833\) | 32.1662 | + | 18.4216i | 1.11449 | + | 0.638271i | ||||
\(834\) | −17.1591 | + | 17.1088i | −0.594172 | + | 0.592430i | ||||
\(835\) | −17.9606 | −0.621552 | ||||||||
\(836\) | 26.4503 | 0.914802 | ||||||||
\(837\) | 1.57481 | − | 5.77541i | 0.0544334 | − | 0.199627i | ||||
\(838\) | 6.20065 | − | 23.1411i | 0.214198 | − | 0.799397i | ||||
\(839\) | −33.7234 | + | 9.03616i | −1.16426 | + | 0.311963i | −0.788667 | − | 0.614821i | \(-0.789228\pi\) |
−0.375595 | + | 0.926784i | \(0.622562\pi\) | |||||||
\(840\) | −14.5804 | − | 3.90244i | −0.503071 | − | 0.134647i | ||||
\(841\) | −10.7909 | + | 18.6905i | −0.372101 | + | 0.644498i | ||||
\(842\) | 29.8765 | 1.02961 | ||||||||
\(843\) | −11.1282 | + | 41.2885i | −0.383276 | + | 1.42205i | ||||
\(844\) | −7.83833 | + | 4.52546i | −0.269806 | + | 0.155773i | ||||
\(845\) | 5.91854 | + | 42.4070i | 0.203604 | + | 1.45884i | ||||
\(846\) | 6.47414 | + | 11.2900i | 0.222585 | + | 0.388157i | ||||
\(847\) | 20.0840 | − | 5.41912i | 0.690096 | − | 0.186203i | ||||
\(848\) | −4.94841 | + | 2.85697i | −0.169929 | + | 0.0981087i | ||||
\(849\) | −0.00181244 | + | 1.23454i | −6.22029e−5 | + | 0.0423693i | ||||
\(850\) | 8.01552 | − | 29.9143i | 0.274930 | − | 1.02605i | ||||
\(851\) | 13.3550 | − | 13.3550i | 0.457804 | − | 0.457804i | ||||
\(852\) | 10.5743 | + | 10.6054i | 0.362269 | + | 0.363334i | ||||
\(853\) | 3.57332 | − | 3.57332i | 0.122348 | − | 0.122348i | −0.643282 | − | 0.765630i | \(-0.722428\pi\) |
0.765630 | + | 0.643282i | \(0.222428\pi\) | |||||||
\(854\) | −5.44000 | − | 3.12813i | −0.186153 | − | 0.107042i | ||||
\(855\) | −30.2417 | + | 52.0267i | −1.03424 | + | 1.77928i | ||||
\(856\) | −5.22799 | + | 5.22799i | −0.178689 | + | 0.178689i | ||||
\(857\) | −12.6115 | − | 21.8438i | −0.430802 | − | 0.746170i | 0.566141 | − | 0.824308i | \(-0.308436\pi\) |
−0.996943 | + | 0.0781383i | \(0.975102\pi\) | |||||||
\(858\) | −27.0688 | − | 1.70849i | −0.924113 | − | 0.0583269i | ||||
\(859\) | −24.5656 | + | 42.5489i | −0.838168 | + | 1.45175i | 0.0532569 | + | 0.998581i | \(0.483040\pi\) |
−0.891425 | + | 0.453169i | \(0.850294\pi\) | |||||||
\(860\) | −8.91014 | − | 2.38747i | −0.303833 | − | 0.0814119i | ||||
\(861\) | −0.0118177 | − | 42.3866i | −0.000402747 | − | 1.44453i | ||||
\(862\) | 18.9465 | + | 10.9388i | 0.645320 | + | 0.372576i | ||||
\(863\) | −1.73281 | − | 6.46693i | −0.0589855 | − | 0.220137i | 0.930141 | − | 0.367202i | \(-0.119684\pi\) |
−0.989127 | + | 0.147065i | \(0.953017\pi\) | |||||||
\(864\) | −3.69038 | + | 3.65802i | −0.125549 | + | 0.124448i | ||||
\(865\) | 32.0930 | − | 32.0930i | 1.09119 | − | 1.09119i | ||||
\(866\) | 10.3339 | − | 2.76896i | 0.351160 | − | 0.0940930i | ||||
\(867\) | 9.53762 | + | 16.5758i | 0.323915 | + | 0.562944i | ||||
\(868\) | 2.64235 | + | 1.51941i | 0.0896873 | + | 0.0515723i | ||||
\(869\) | 0.578899 | − | 2.16048i | 0.0196378 | − | 0.0732893i | ||||
\(870\) | 7.74915 | + | 13.4675i | 0.262721 | + | 0.456593i | ||||
\(871\) | −34.6011 | + | 7.02243i | −1.17241 | + | 0.237946i | ||||
\(872\) | −3.70611 | + | 2.13973i | −0.125505 | + | 0.0724603i | ||||
\(873\) | −2.29560 | + | 8.46777i | −0.0776944 | + | 0.286591i | ||||
\(874\) | 27.3240 | + | 47.3266i | 0.924248 | + | 1.60084i | ||||
\(875\) | −3.70779 | − | 6.39626i | −0.125346 | − | 0.216233i | ||||
\(876\) | −2.52803 | + | 0.673408i | −0.0854144 | + | 0.0227524i | ||||
\(877\) | −6.71366 | + | 25.0557i | −0.226704 | + | 0.846071i | 0.755010 | + | 0.655713i | \(0.227632\pi\) |
−0.981715 | + | 0.190359i | \(0.939035\pi\) | |||||||
\(878\) | −27.1212 | − | 27.1212i | −0.915295 | − | 0.915295i | ||||
\(879\) | 0.912926 | + | 0.915610i | 0.0307922 | + | 0.0308828i | ||||
\(880\) | 7.15242 | + | 12.3884i | 0.241108 | + | 0.417611i | ||||
\(881\) | 0.0492472 | + | 0.0852986i | 0.00165918 | + | 0.00287378i | 0.866854 | − | 0.498562i | \(-0.166139\pi\) |
−0.865195 | + | 0.501436i | \(0.832805\pi\) | |||||||
\(882\) | 5.42389 | − | 20.2875i | 0.182632 | − | 0.683115i | ||||
\(883\) | 28.9269i | 0.973469i | 0.873550 | + | 0.486735i | \(0.161812\pi\) | ||||
−0.873550 | + | 0.486735i | \(0.838188\pi\) | |||||||
\(884\) | −1.17470 | + | 19.0566i | −0.0395096 | + | 0.640944i | ||||
\(885\) | −4.60938 | − | 0.00676709i | −0.154943 | − | 0.000227473i | ||||
\(886\) | −7.88780 | + | 2.11353i | −0.264996 | + | 0.0710054i | ||||
\(887\) | − | 13.3735i | − | 0.449038i | −0.974470 | − | 0.224519i | \(-0.927919\pi\) | ||
0.974470 | − | 0.224519i | \(-0.0720811\pi\) | |||||||
\(888\) | 1.81819 | + | 3.15991i | 0.0610146 | + | 0.106040i | ||||
\(889\) | 24.2708 | − | 6.54882i | 0.814018 | − | 0.219640i | ||||
\(890\) | −1.88411 | − | 7.03159i | −0.0631555 | − | 0.235699i | ||||
\(891\) | 27.4765 | + | 27.8012i | 0.920499 | + | 0.931374i | ||||
\(892\) | −8.16427 | − | 2.18761i | −0.273360 | − | 0.0732466i | ||||
\(893\) | 26.4203i | 0.884121i | ||||||||
\(894\) | 28.4317 | + | 16.4708i | 0.950899 | + | 0.550865i | ||||
\(895\) | −28.2945 | − | 7.58150i | −0.945782 | − | 0.253422i | ||||
\(896\) | −1.32688 | − | 2.28897i | −0.0443278 | − | 0.0764692i | ||||
\(897\) | −24.9060 | − | 50.1982i | −0.831587 | − | 1.67607i | ||||
\(898\) | 0.574338 | − | 0.994782i | 0.0191659 | − | 0.0331963i | ||||
\(899\) | −0.812114 | − | 3.03085i | −0.0270855 | − | 0.101085i | ||||
\(900\) | −17.5451 | − | 0.0515165i | −0.584838 | − | 0.00171722i | ||||
\(901\) | 26.2038 | − | 15.1288i | 0.872975 | − | 0.504012i | ||||
\(902\) | −28.4056 | + | 28.4056i | −0.945803 | + | 0.945803i | ||||
\(903\) | 3.31827 | − | 12.3978i | 0.110425 | − | 0.412572i | ||||
\(904\) | −0.745928 | − | 2.78384i | −0.0248092 | − | 0.0925892i | ||||
\(905\) | 64.4746 | − | 17.2759i | 2.14321 | − | 0.574271i | ||||
\(906\) | −4.08883 | − | 2.36870i | −0.135842 | − | 0.0786948i | ||||
\(907\) | 23.4037 | + | 13.5122i | 0.777108 | + | 0.448664i | 0.835404 | − | 0.549636i | \(-0.185233\pi\) |
−0.0582963 | + | 0.998299i | \(0.518567\pi\) | |||||||
\(908\) | 16.8243 | + | 16.8243i | 0.558335 | + | 0.558335i | ||||
\(909\) | 14.4395 | + | 25.1805i | 0.478929 | + | 0.835184i | ||||
\(910\) | 20.8492 | + | 23.5056i | 0.691145 | + | 0.779204i | ||||
\(911\) | − | 27.3357i | − | 0.905671i | −0.891594 | − | 0.452836i | \(-0.850412\pi\) | ||
0.891594 | − | 0.452836i | \(-0.149588\pi\) | |||||||
\(912\) | −10.1931 | + | 2.71519i | −0.337526 | + | 0.0899090i | ||||
\(913\) | 14.0047 | − | 24.2568i | 0.463487 | − | 0.802782i | ||||
\(914\) | −0.508183 | −0.0168092 | ||||||||
\(915\) | −13.0647 | − | 3.52123i | −0.431904 | − | 0.116408i | ||||
\(916\) | 22.8374 | − | 6.11927i | 0.754570 | − | 0.202186i | ||||
\(917\) | 10.1623 | + | 10.1269i | 0.335590 | + | 0.334419i | ||||
\(918\) | 19.5420 | − | 19.3706i | 0.644983 | − | 0.639326i | ||||
\(919\) | −23.7617 | − | 41.1565i | −0.783827 | − | 1.35763i | −0.929697 | − | 0.368324i | \(-0.879932\pi\) |
0.145871 | − | 0.989304i | \(-0.453402\pi\) | |||||||
\(920\) | −14.7774 | + | 25.5951i | −0.487195 | + | 0.843846i | ||||
\(921\) | −40.9527 | − | 11.0377i | −1.34944 | − | 0.363705i | ||||
\(922\) | 13.9286 | + | 8.04166i | 0.458713 | + | 0.264838i | ||||
\(923\) | −6.20080 | − | 30.5527i | −0.204102 | − | 1.00566i | ||||
\(924\) | −17.2334 | + | 9.95610i | −0.566936 | + | 0.327532i | ||||
\(925\) | −3.18603 | + | 11.8904i | −0.104756 | + | 0.390954i | ||||
\(926\) | 17.4478i | 0.573369i | ||||||||
\(927\) | −32.3471 | + | 18.5492i | −1.06242 | + | 0.609234i | ||||
\(928\) | −0.704925 | + | 2.63082i | −0.0231403 | + | 0.0863608i | ||||
\(929\) | −19.2502 | − | 5.15806i | −0.631577 | − | 0.169231i | −0.0711918 | − | 0.997463i | \(-0.522680\pi\) |
−0.560385 | + | 0.828232i | \(0.689347\pi\) | |||||||
\(930\) | 6.34585 | + | 1.71036i | 0.208089 | + | 0.0560848i | ||||
\(931\) | 30.0394 | − | 30.2500i | 0.984501 | − | 0.991404i | ||||
\(932\) | −24.4900 | − | 14.1393i | −0.802198 | − | 0.463149i | ||||
\(933\) | 10.8338 | − | 18.7012i | 0.354683 | − | 0.612251i | ||||
\(934\) | −8.02487 | − | 29.9492i | −0.262582 | − | 0.979969i | ||||
\(935\) | −37.8749 | − | 65.6012i | −1.23864 | − | 2.14539i | ||||
\(936\) | 10.6068 | − | 2.12029i | 0.346694 | − | 0.0693038i | ||||
\(937\) | 20.0256 | 0.654207 | 0.327103 | − | 0.944989i | \(-0.393927\pi\) | ||||
0.327103 | + | 0.944989i | \(0.393927\pi\) | |||||||
\(938\) | −18.2876 | + | 18.3516i | −0.597111 | + | 0.599201i | ||||
\(939\) | −23.4724 | − | 0.0344602i | −0.765994 | − | 0.00112456i | ||||
\(940\) | −12.3743 | + | 7.14430i | −0.403605 | + | 0.233021i | ||||
\(941\) | −1.25159 | − | 0.335362i | −0.0408006 | − | 0.0109325i | 0.238361 | − | 0.971177i | \(-0.423390\pi\) |
−0.279162 | + | 0.960244i | \(0.590057\pi\) | |||||||
\(942\) | −1.51623 | − | 5.69206i | −0.0494014 | − | 0.185457i | ||||
\(943\) | −80.1690 | − | 21.4812i | −2.61066 | − | 0.699525i | ||||
\(944\) | −0.571327 | − | 0.571327i | −0.0185951 | − | 0.0185951i | ||||
\(945\) | 0.120330 | − | 45.2806i | 0.00391432 | − | 1.47298i | ||||
\(946\) | −10.5339 | + | 6.08174i | −0.342486 | + | 0.197734i | ||||
\(947\) | −19.7867 | − | 19.7867i | −0.642983 | − | 0.642983i | 0.308305 | − | 0.951288i | \(-0.400238\pi\) |
−0.951288 | + | 0.308305i | \(0.900238\pi\) | |||||||
\(948\) | −0.00130956 | + | 0.892004i | −4.25326e−5 | + | 0.0289709i | ||||
\(949\) | 5.16377 | + | 1.73052i | 0.167623 | + | 0.0561751i | ||||
\(950\) | −30.8460 | − | 17.8089i | −1.00078 | − | 0.577798i | ||||
\(951\) | −13.5000 | + | 13.4605i | −0.437769 | + | 0.436485i | ||||
\(952\) | 7.02633 | + | 12.1210i | 0.227725 | + | 0.392844i | ||||
\(953\) | 4.62297 | − | 8.00722i | 0.149753 | − | 0.259379i | −0.781383 | − | 0.624051i | \(-0.785486\pi\) |
0.931136 | + | 0.364672i | \(0.118819\pi\) | |||||||
\(954\) | −12.0854 | − | 12.1566i | −0.391281 | − | 0.393585i | ||||
\(955\) | 37.5372 | + | 37.5372i | 1.21467 | + | 1.21467i | ||||
\(956\) | −12.9200 | − | 12.9200i | −0.417862 | − | 0.417862i | ||||
\(957\) | 19.7824 | + | 5.33183i | 0.639476 | + | 0.172354i | ||||
\(958\) | 10.7273 | − | 18.5802i | 0.346583 | − | 0.600300i | ||||
\(959\) | 3.13207 | + | 5.40309i | 0.101140 | + | 0.174475i | ||||
\(960\) | −4.02801 | − | 4.03985i | −0.130003 | − | 0.130386i | ||||
\(961\) | 25.6974 | + | 14.8364i | 0.828947 | + | 0.478593i | ||||
\(962\) | 0.466924 | − | 7.57467i | 0.0150542 | − | 0.244217i | ||||
\(963\) | −19.1762 | − | 11.1466i | −0.617945 | − | 0.359194i | ||||
\(964\) | 12.3866 | + | 12.3866i | 0.398947 | + | 0.398947i | ||||
\(965\) | 64.8957 | − | 37.4675i | 2.08907 | − | 1.20612i | ||||
\(966\) | −35.6167 | − | 20.5501i | −1.14595 | − | 0.661188i | ||||
\(967\) | 33.9199 | + | 33.9199i | 1.09079 | + | 1.09079i | 0.995444 | + | 0.0953471i | \(0.0303961\pi\) |
0.0953471 | + | 0.995444i | \(0.469604\pi\) | |||||||
\(968\) | 7.59462 | + | 2.03497i | 0.244100 | + | 0.0654065i | ||||
\(969\) | 53.9763 | − | 14.3780i | 1.73397 | − | 0.461888i | ||||
\(970\) | −9.30410 | − | 2.49303i | −0.298737 | − | 0.0800463i | ||||
\(971\) | 3.64259 | − | 2.10305i | 0.116896 | − | 0.0674901i | −0.440412 | − | 0.897796i | \(-0.645168\pi\) |
0.557308 | + | 0.830306i | \(0.311834\pi\) | |||||||
\(972\) | −13.4424 | − | 7.89312i | −0.431166 | − | 0.253172i | ||||
\(973\) | 26.1268 | − | 26.2183i | 0.837588 | − | 0.840520i | ||||
\(974\) | 21.4225 | 0.686420 | ||||||||
\(975\) | 30.4169 | + | 20.2178i | 0.974122 | + | 0.647487i | ||||
\(976\) | −1.18591 | − | 2.05406i | −0.0379601 | − | 0.0657488i | ||||
\(977\) | −3.45942 | − | 12.9107i | −0.110677 | − | 0.413051i | 0.888250 | − | 0.459360i | \(-0.151921\pi\) |
−0.998927 | + | 0.0463082i | \(0.985254\pi\) | |||||||
\(978\) | −37.9891 | − | 22.0074i | −1.21476 | − | 0.703721i | ||||
\(979\) | −8.31299 | − | 4.79951i | −0.265684 | − | 0.153393i | ||||
\(980\) | 22.2909 | + | 5.88945i | 0.712058 | + | 0.188131i | ||||
\(981\) | −9.05139 | − | 9.10470i | −0.288989 | − | 0.290691i | ||||
\(982\) | 0.521184 | + | 0.139651i | 0.0166317 | + | 0.00445644i | ||||
\(983\) | 12.0380 | − | 44.9265i | 0.383953 | − | 1.43293i | −0.455858 | − | 0.890053i | \(-0.650667\pi\) |
0.839811 | − | 0.542879i | \(-0.182666\pi\) | |||||||
\(984\) | 8.03067 | − | 13.8625i | 0.256009 | − | 0.441920i | ||||
\(985\) | − | 84.7708i | − | 2.70102i | ||||||
\(986\) | 3.73286 | − | 13.9312i | 0.118878 | − | 0.443660i | ||||
\(987\) | −9.94481 | − | 17.2138i | −0.316547 | − | 0.547922i | ||||
\(988\) | 20.8204 | + | 6.97749i | 0.662385 | + | 0.221983i | ||||
\(989\) | −21.7637 | − | 12.5653i | −0.692045 | − | 0.399552i | ||||
\(990\) | −30.4341 | + | 30.2559i | −0.967259 | + | 0.961596i | ||||
\(991\) | −21.4478 | + | 37.1487i | −0.681312 | + | 1.18007i | 0.293268 | + | 0.956030i | \(0.405257\pi\) |
−0.974581 | + | 0.224037i | \(0.928076\pi\) | |||||||
\(992\) | 0.576029 | + | 0.997711i | 0.0182889 | + | 0.0316773i | ||||
\(993\) | 6.28380 | − | 1.67385i | 0.199410 | − | 0.0531182i | ||||
\(994\) | −16.2045 | − | 16.1479i | −0.513974 | − | 0.512182i | ||||
\(995\) | −53.0248 | + | 14.2079i | −1.68100 | + | 0.450422i | ||||
\(996\) | −2.90691 | + | 10.7854i | −0.0921090 | + | 0.341748i | ||||
\(997\) | 33.9859 | 1.07634 | 0.538172 | − | 0.842835i | \(-0.319115\pi\) | ||||
0.538172 | + | 0.842835i | \(0.319115\pi\) | |||||||
\(998\) | −10.4304 | + | 18.0660i | −0.330168 | + | 0.571868i | ||||
\(999\) | −7.76760 | + | 7.69948i | −0.245756 | + | 0.243601i |
(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 | 546.2.ch.a.401.12 | yes | 152 | |
3.2 | odd | 2 | inner | 546.2.ch.a.401.20 | yes | 152 | |
7.4 | even | 3 | 546.2.bw.a.11.14 | ✓ | 152 | ||
13.6 | odd | 12 | 546.2.bw.a.149.33 | yes | 152 | ||
21.11 | odd | 6 | 546.2.bw.a.11.33 | yes | 152 | ||
39.32 | even | 12 | 546.2.bw.a.149.14 | yes | 152 | ||
91.32 | odd | 12 | inner | 546.2.ch.a.305.20 | yes | 152 | |
273.32 | even | 12 | inner | 546.2.ch.a.305.12 | yes | 152 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bw.a.11.14 | ✓ | 152 | 7.4 | even | 3 | ||
546.2.bw.a.11.33 | yes | 152 | 21.11 | odd | 6 | ||
546.2.bw.a.149.14 | yes | 152 | 39.32 | even | 12 | ||
546.2.bw.a.149.33 | yes | 152 | 13.6 | odd | 12 | ||
546.2.ch.a.305.12 | yes | 152 | 273.32 | even | 12 | inner | |
546.2.ch.a.305.20 | yes | 152 | 91.32 | odd | 12 | inner | |
546.2.ch.a.401.12 | yes | 152 | 1.1 | even | 1 | trivial | |
546.2.ch.a.401.20 | yes | 152 | 3.2 | odd | 2 | inner |