Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(535,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.535");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.e (of order \(2\), degree \(1\), 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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(34\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 535.27 | ||
Character | \(\chi\) | \(=\) | 804.535 |
Dual form | 804.2.e.b.535.28 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.956986 | − | 1.04124i | 0.676691 | − | 0.736267i | ||||
\(3\) | 1.00000 | 0.577350 | ||||||||
\(4\) | −0.168355 | − | 1.99290i | −0.0841775 | − | 0.996451i | ||||
\(5\) | 1.36325i | 0.609663i | 0.952406 | + | 0.304832i | \(0.0986002\pi\) | ||||
−0.952406 | + | 0.304832i | \(0.901400\pi\) | |||||||
\(6\) | 0.956986 | − | 1.04124i | 0.390688 | − | 0.425084i | ||||
\(7\) | 1.56640 | 0.592044 | 0.296022 | − | 0.955181i | \(-0.404340\pi\) | ||||
0.296022 | + | 0.955181i | \(0.404340\pi\) | |||||||
\(8\) | −2.23620 | − | 1.73188i | −0.790616 | − | 0.612313i | ||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | 1.41947 | + | 1.30461i | 0.448875 | + | 0.412554i | ||||
\(11\) | 0.528628 | 0.159387 | 0.0796937 | − | 0.996819i | \(-0.474606\pi\) | ||||
0.0796937 | + | 0.996819i | \(0.474606\pi\) | |||||||
\(12\) | −0.168355 | − | 1.99290i | −0.0485999 | − | 0.575301i | ||||
\(13\) | − | 2.52074i | − | 0.699129i | −0.936912 | − | 0.349564i | \(-0.886330\pi\) | ||
0.936912 | − | 0.349564i | \(-0.113670\pi\) | |||||||
\(14\) | 1.49903 | − | 1.63100i | 0.400631 | − | 0.435903i | ||||
\(15\) | 1.36325i | 0.351989i | ||||||||
\(16\) | −3.94331 | + | 0.671030i | −0.985828 | + | 0.167757i | ||||
\(17\) | 5.97533 | 1.44923 | 0.724615 | − | 0.689154i | \(-0.242018\pi\) | ||||
0.724615 | + | 0.689154i | \(0.242018\pi\) | |||||||
\(18\) | 0.956986 | − | 1.04124i | 0.225564 | − | 0.245422i | ||||
\(19\) | − | 2.51124i | − | 0.576118i | −0.957613 | − | 0.288059i | \(-0.906990\pi\) | ||
0.957613 | − | 0.288059i | \(-0.0930099\pi\) | |||||||
\(20\) | 2.71682 | − | 0.229510i | 0.607499 | − | 0.0513199i | ||||
\(21\) | 1.56640 | 0.341817 | ||||||||
\(22\) | 0.505890 | − | 0.550428i | 0.107856 | − | 0.117352i | ||||
\(23\) | − | 2.87303i | − | 0.599069i | −0.954085 | − | 0.299534i | \(-0.903169\pi\) | ||
0.954085 | − | 0.299534i | \(-0.0968314\pi\) | |||||||
\(24\) | −2.23620 | − | 1.73188i | −0.456462 | − | 0.353519i | ||||
\(25\) | 3.14155 | 0.628311 | ||||||||
\(26\) | −2.62470 | − | 2.41232i | −0.514745 | − | 0.473094i | ||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | −0.263712 | − | 3.12169i | −0.0498368 | − | 0.589943i | ||||
\(29\) | −7.65326 | −1.42117 | −0.710587 | − | 0.703609i | \(-0.751570\pi\) | ||||
−0.710587 | + | 0.703609i | \(0.751570\pi\) | |||||||
\(30\) | 1.41947 | + | 1.30461i | 0.259158 | + | 0.238188i | ||||
\(31\) | 8.15854 | 1.46532 | 0.732658 | − | 0.680597i | \(-0.238279\pi\) | ||||
0.732658 | + | 0.680597i | \(0.238279\pi\) | |||||||
\(32\) | −3.07499 | + | 4.74810i | −0.543587 | + | 0.839353i | ||||
\(33\) | 0.528628 | 0.0920224 | ||||||||
\(34\) | 5.71831 | − | 6.22174i | 0.980682 | − | 1.06702i | ||||
\(35\) | 2.13540i | 0.360948i | ||||||||
\(36\) | −0.168355 | − | 1.99290i | −0.0280592 | − | 0.332150i | ||||
\(37\) | −7.80230 | −1.28269 | −0.641345 | − | 0.767253i | \(-0.721623\pi\) | ||||
−0.641345 | + | 0.767253i | \(0.721623\pi\) | |||||||
\(38\) | −2.61480 | − | 2.40322i | −0.424177 | − | 0.389854i | ||||
\(39\) | − | 2.52074i | − | 0.403642i | ||||||
\(40\) | 2.36098 | − | 3.04849i | 0.373304 | − | 0.482009i | ||||
\(41\) | 11.2829i | 1.76209i | 0.473037 | + | 0.881043i | \(0.343158\pi\) | ||||
−0.473037 | + | 0.881043i | \(0.656842\pi\) | |||||||
\(42\) | 1.49903 | − | 1.63100i | 0.231305 | − | 0.251668i | ||||
\(43\) | 3.82695 | 0.583605 | 0.291802 | − | 0.956479i | \(-0.405745\pi\) | ||||
0.291802 | + | 0.956479i | \(0.405745\pi\) | |||||||
\(44\) | −0.0889972 | − | 1.05350i | −0.0134168 | − | 0.158822i | ||||
\(45\) | 1.36325i | 0.203221i | ||||||||
\(46\) | −2.99151 | − | 2.74945i | −0.441075 | − | 0.405385i | ||||
\(47\) | − | 3.73630i | − | 0.544995i | −0.962156 | − | 0.272498i | \(-0.912150\pi\) | ||
0.962156 | − | 0.272498i | \(-0.0878497\pi\) | |||||||
\(48\) | −3.94331 | + | 0.671030i | −0.569168 | + | 0.0968548i | ||||
\(49\) | −4.54638 | −0.649483 | ||||||||
\(50\) | 3.00642 | − | 3.27111i | 0.425172 | − | 0.462604i | ||||
\(51\) | 5.97533 | 0.836713 | ||||||||
\(52\) | −5.02360 | + | 0.424380i | −0.696647 | + | 0.0588509i | ||||
\(53\) | 11.2351i | 1.54326i | 0.636075 | + | 0.771628i | \(0.280557\pi\) | ||||
−0.636075 | + | 0.771628i | \(0.719443\pi\) | |||||||
\(54\) | 0.956986 | − | 1.04124i | 0.130229 | − | 0.141695i | ||||
\(55\) | 0.720652i | 0.0971727i | ||||||||
\(56\) | −3.50279 | − | 2.71282i | −0.468080 | − | 0.362516i | ||||
\(57\) | − | 2.51124i | − | 0.332622i | ||||||
\(58\) | −7.32406 | + | 7.96886i | −0.961696 | + | 1.04636i | ||||
\(59\) | − | 8.44668i | − | 1.09966i | −0.835275 | − | 0.549832i | \(-0.814692\pi\) | ||
0.835275 | − | 0.549832i | \(-0.185308\pi\) | |||||||
\(60\) | 2.71682 | − | 0.229510i | 0.350740 | − | 0.0296296i | ||||
\(61\) | − | 2.04476i | − | 0.261805i | −0.991395 | − | 0.130902i | \(-0.958213\pi\) | ||
0.991395 | − | 0.130902i | \(-0.0417875\pi\) | |||||||
\(62\) | 7.80761 | − | 8.49498i | 0.991567 | − | 1.07886i | ||||
\(63\) | 1.56640 | 0.197348 | ||||||||
\(64\) | 2.00117 | + | 7.74566i | 0.250147 | + | 0.968208i | ||||
\(65\) | 3.43640 | 0.426233 | ||||||||
\(66\) | 0.505890 | − | 0.550428i | 0.0622707 | − | 0.0677530i | ||||
\(67\) | −7.97595 | + | 1.83962i | −0.974418 | + | 0.224745i | ||||
\(68\) | −1.00598 | − | 11.9082i | −0.121993 | − | 1.44409i | ||||
\(69\) | − | 2.87303i | − | 0.345873i | ||||||
\(70\) | 2.22346 | + | 2.04354i | 0.265754 | + | 0.244250i | ||||
\(71\) | 4.62331i | 0.548686i | 0.961632 | + | 0.274343i | \(0.0884604\pi\) | ||||
−0.961632 | + | 0.274343i | \(0.911540\pi\) | |||||||
\(72\) | −2.23620 | − | 1.73188i | −0.263539 | − | 0.204104i | ||||
\(73\) | −12.1580 | −1.42299 | −0.711493 | − | 0.702694i | \(-0.751981\pi\) | ||||
−0.711493 | + | 0.702694i | \(0.751981\pi\) | |||||||
\(74\) | −7.46669 | + | 8.12405i | −0.867985 | + | 0.944402i | ||||
\(75\) | 3.14155 | 0.362755 | ||||||||
\(76\) | −5.00465 | + | 0.422780i | −0.574073 | + | 0.0484962i | ||||
\(77\) | 0.828045 | 0.0943644 | ||||||||
\(78\) | −2.62470 | − | 2.41232i | −0.297188 | − | 0.273141i | ||||
\(79\) | −2.66595 | −0.299942 | −0.149971 | − | 0.988690i | \(-0.547918\pi\) | ||||
−0.149971 | + | 0.988690i | \(0.547918\pi\) | |||||||
\(80\) | −0.914781 | − | 5.37572i | −0.102276 | − | 0.601023i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 11.7481 | + | 10.7975i | 1.29737 | + | 1.19239i | ||||
\(83\) | 11.3473i | 1.24553i | 0.782411 | + | 0.622763i | \(0.213990\pi\) | ||||
−0.782411 | + | 0.622763i | \(0.786010\pi\) | |||||||
\(84\) | −0.263712 | − | 3.12169i | −0.0287733 | − | 0.340604i | ||||
\(85\) | 8.14586i | 0.883542i | ||||||||
\(86\) | 3.66234 | − | 3.98477i | 0.394920 | − | 0.429689i | ||||
\(87\) | −7.65326 | −0.820515 | ||||||||
\(88\) | −1.18212 | − | 0.915522i | −0.126014 | − | 0.0975949i | ||||
\(89\) | 2.96297 | 0.314075 | 0.157037 | − | 0.987593i | \(-0.449806\pi\) | ||||
0.157037 | + | 0.987593i | \(0.449806\pi\) | |||||||
\(90\) | 1.41947 | + | 1.30461i | 0.149625 | + | 0.137518i | ||||
\(91\) | − | 3.94850i | − | 0.413915i | ||||||
\(92\) | −5.72567 | + | 0.483690i | −0.596943 | + | 0.0504281i | ||||
\(93\) | 8.15854 | 0.846001 | ||||||||
\(94\) | −3.89038 | − | 3.57559i | −0.401262 | − | 0.368793i | ||||
\(95\) | 3.42344 | 0.351238 | ||||||||
\(96\) | −3.07499 | + | 4.74810i | −0.313840 | + | 0.484600i | ||||
\(97\) | 13.7074i | 1.39177i | 0.718152 | + | 0.695886i | \(0.244988\pi\) | ||||
−0.718152 | + | 0.695886i | \(0.755012\pi\) | |||||||
\(98\) | −4.35083 | + | 4.73387i | −0.439500 | + | 0.478193i | ||||
\(99\) | 0.528628 | 0.0531291 | ||||||||
\(100\) | −0.528896 | − | 6.26081i | −0.0528896 | − | 0.626081i | ||||
\(101\) | 0.747709i | 0.0743998i | 0.999308 | + | 0.0371999i | \(0.0118438\pi\) | ||||
−0.999308 | + | 0.0371999i | \(0.988156\pi\) | |||||||
\(102\) | 5.71831 | − | 6.22174i | 0.566197 | − | 0.616044i | ||||
\(103\) | − | 6.33839i | − | 0.624540i | −0.949993 | − | 0.312270i | \(-0.898911\pi\) | ||
0.949993 | − | 0.312270i | \(-0.101089\pi\) | |||||||
\(104\) | −4.36563 | + | 5.63689i | −0.428085 | + | 0.552742i | ||||
\(105\) | 2.13540i | 0.208393i | ||||||||
\(106\) | 11.6984 | + | 10.7518i | 1.13625 | + | 1.04431i | ||||
\(107\) | 3.47954i | 0.336380i | 0.985755 | + | 0.168190i | \(0.0537923\pi\) | ||||
−0.985755 | + | 0.168190i | \(0.946208\pi\) | |||||||
\(108\) | −0.168355 | − | 1.99290i | −0.0162000 | − | 0.191767i | ||||
\(109\) | − | 14.6802i | − | 1.40611i | −0.711135 | − | 0.703055i | \(-0.751819\pi\) | ||
0.711135 | − | 0.703055i | \(-0.248181\pi\) | |||||||
\(110\) | 0.750370 | + | 0.689654i | 0.0715450 | + | 0.0657559i | ||||
\(111\) | −7.80230 | −0.740562 | ||||||||
\(112\) | −6.17681 | + | 1.05110i | −0.583654 | + | 0.0993199i | ||||
\(113\) | 13.5436i | 1.27407i | 0.770834 | + | 0.637036i | \(0.219840\pi\) | ||||
−0.770834 | + | 0.637036i | \(0.780160\pi\) | |||||||
\(114\) | −2.61480 | − | 2.40322i | −0.244898 | − | 0.225082i | ||||
\(115\) | 3.91666 | 0.365230 | ||||||||
\(116\) | 1.28846 | + | 15.2522i | 0.119631 | + | 1.41613i | ||||
\(117\) | − | 2.52074i | − | 0.233043i | ||||||
\(118\) | −8.79501 | − | 8.08335i | −0.809646 | − | 0.744133i | ||||
\(119\) | 9.35977 | 0.858009 | ||||||||
\(120\) | 2.36098 | − | 3.04849i | 0.215527 | − | 0.278288i | ||||
\(121\) | −10.7206 | −0.974596 | ||||||||
\(122\) | −2.12909 | − | 1.95681i | −0.192758 | − | 0.177161i | ||||
\(123\) | 11.2829i | 1.01734i | ||||||||
\(124\) | −1.37353 | − | 16.2592i | −0.123347 | − | 1.46012i | ||||
\(125\) | 11.0990i | 0.992721i | ||||||||
\(126\) | 1.49903 | − | 1.63100i | 0.133544 | − | 0.145301i | ||||
\(127\) | − | 11.8234i | − | 1.04916i | −0.851362 | − | 0.524578i | \(-0.824223\pi\) | ||
0.851362 | − | 0.524578i | \(-0.175777\pi\) | |||||||
\(128\) | 9.98018 | + | 5.32879i | 0.882131 | + | 0.471003i | ||||
\(129\) | 3.82695 | 0.336944 | ||||||||
\(130\) | 3.28859 | − | 3.57811i | 0.288428 | − | 0.313821i | ||||
\(131\) | − | 4.47623i | − | 0.391090i | −0.980695 | − | 0.195545i | \(-0.937352\pi\) | ||
0.980695 | − | 0.195545i | \(-0.0626476\pi\) | |||||||
\(132\) | −0.0889972 | − | 1.05350i | −0.00774621 | − | 0.0916958i | ||||
\(133\) | − | 3.93361i | − | 0.341087i | ||||||
\(134\) | −5.71739 | + | 10.0654i | −0.493908 | + | 0.869514i | ||||
\(135\) | 1.36325i | 0.117330i | ||||||||
\(136\) | −13.3620 | − | 10.3486i | −1.14578 | − | 0.887382i | ||||
\(137\) | 3.72743i | 0.318455i | 0.987242 | + | 0.159228i | \(0.0509004\pi\) | ||||
−0.987242 | + | 0.159228i | \(0.949100\pi\) | |||||||
\(138\) | −2.99151 | − | 2.74945i | −0.254655 | − | 0.234049i | ||||
\(139\) | 9.91407 | 0.840900 | 0.420450 | − | 0.907316i | \(-0.361872\pi\) | ||||
0.420450 | + | 0.907316i | \(0.361872\pi\) | |||||||
\(140\) | 4.25563 | − | 0.359505i | 0.359667 | − | 0.0303837i | ||||
\(141\) | − | 3.73630i | − | 0.314653i | ||||||
\(142\) | 4.81397 | + | 4.42445i | 0.403979 | + | 0.371291i | ||||
\(143\) | − | 1.33254i | − | 0.111432i | ||||||
\(144\) | −3.94331 | + | 0.671030i | −0.328609 | + | 0.0559192i | ||||
\(145\) | − | 10.4333i | − | 0.866437i | ||||||
\(146\) | −11.6350 | + | 12.6594i | −0.962922 | + | 1.04770i | ||||
\(147\) | −4.54638 | −0.374979 | ||||||||
\(148\) | 1.31356 | + | 15.5492i | 0.107974 | + | 1.27814i | ||||
\(149\) | −3.92269 | −0.321359 | −0.160680 | − | 0.987007i | \(-0.551369\pi\) | ||||
−0.160680 | + | 0.987007i | \(0.551369\pi\) | |||||||
\(150\) | 3.00642 | − | 3.27111i | 0.245473 | − | 0.267085i | ||||
\(151\) | 23.1961i | 1.88767i | 0.330412 | + | 0.943837i | \(0.392812\pi\) | ||||
−0.330412 | + | 0.943837i | \(0.607188\pi\) | |||||||
\(152\) | −4.34917 | + | 5.61563i | −0.352764 | + | 0.455488i | ||||
\(153\) | 5.97533 | 0.483077 | ||||||||
\(154\) | 0.792427 | − | 0.862192i | 0.0638556 | − | 0.0694774i | ||||
\(155\) | 11.1221i | 0.893349i | ||||||||
\(156\) | −5.02360 | + | 0.424380i | −0.402210 | + | 0.0339776i | ||||
\(157\) | −1.72814 | −0.137921 | −0.0689604 | − | 0.997619i | \(-0.521968\pi\) | ||||
−0.0689604 | + | 0.997619i | \(0.521968\pi\) | |||||||
\(158\) | −2.55127 | + | 2.77589i | −0.202968 | + | 0.220838i | ||||
\(159\) | 11.2351i | 0.890999i | ||||||||
\(160\) | −6.47283 | − | 4.19198i | −0.511722 | − | 0.331405i | ||||
\(161\) | − | 4.50033i | − | 0.354675i | ||||||
\(162\) | 0.956986 | − | 1.04124i | 0.0751879 | − | 0.0818074i | ||||
\(163\) | − | 19.0214i | − | 1.48987i | −0.667136 | − | 0.744936i | \(-0.732480\pi\) | ||
0.667136 | − | 0.744936i | \(-0.267520\pi\) | |||||||
\(164\) | 22.4856 | − | 1.89952i | 1.75583 | − | 0.148328i | ||||
\(165\) | 0.720652i | 0.0561027i | ||||||||
\(166\) | 11.8152 | + | 10.8592i | 0.917039 | + | 0.842836i | ||||
\(167\) | 8.38078i | 0.648524i | 0.945967 | + | 0.324262i | \(0.105116\pi\) | ||||
−0.945967 | + | 0.324262i | \(0.894884\pi\) | |||||||
\(168\) | −3.50279 | − | 2.71282i | −0.270246 | − | 0.209299i | ||||
\(169\) | 6.64585 | 0.511219 | ||||||||
\(170\) | 8.48178 | + | 7.79547i | 0.650523 | + | 0.597886i | ||||
\(171\) | − | 2.51124i | − | 0.192039i | ||||||
\(172\) | −0.644287 | − | 7.62674i | −0.0491264 | − | 0.581534i | ||||
\(173\) | −4.16884 | −0.316951 | −0.158476 | − | 0.987363i | \(-0.550658\pi\) | ||||
−0.158476 | + | 0.987363i | \(0.550658\pi\) | |||||||
\(174\) | −7.32406 | + | 7.96886i | −0.555235 | + | 0.604118i | ||||
\(175\) | 4.92094 | 0.371988 | ||||||||
\(176\) | −2.08455 | + | 0.354725i | −0.157129 | + | 0.0267384i | ||||
\(177\) | − | 8.44668i | − | 0.634891i | ||||||
\(178\) | 2.83553 | − | 3.08516i | 0.212532 | − | 0.231243i | ||||
\(179\) | 16.2271 | 1.21287 | 0.606436 | − | 0.795132i | \(-0.292599\pi\) | ||||
0.606436 | + | 0.795132i | \(0.292599\pi\) | |||||||
\(180\) | 2.71682 | − | 0.229510i | 0.202500 | − | 0.0171066i | ||||
\(181\) | −5.93853 | −0.441407 | −0.220704 | − | 0.975341i | \(-0.570835\pi\) | ||||
−0.220704 | + | 0.975341i | \(0.570835\pi\) | |||||||
\(182\) | −4.11133 | − | 3.77866i | −0.304752 | − | 0.280093i | ||||
\(183\) | − | 2.04476i | − | 0.151153i | ||||||
\(184\) | −4.97575 | + | 6.42468i | −0.366817 | + | 0.473633i | ||||
\(185\) | − | 10.6365i | − | 0.782009i | ||||||
\(186\) | 7.80761 | − | 8.49498i | 0.572481 | − | 0.622882i | ||||
\(187\) | 3.15873 | 0.230989 | ||||||||
\(188\) | −7.44607 | + | 0.629025i | −0.543061 | + | 0.0458763i | ||||
\(189\) | 1.56640 | 0.113939 | ||||||||
\(190\) | 3.27619 | − | 3.56462i | 0.237680 | − | 0.258605i | ||||
\(191\) | −14.8390 | −1.07371 | −0.536855 | − | 0.843675i | \(-0.680388\pi\) | ||||
−0.536855 | + | 0.843675i | \(0.680388\pi\) | |||||||
\(192\) | 2.00117 | + | 7.74566i | 0.144422 | + | 0.558995i | ||||
\(193\) | 11.3774 | 0.818967 | 0.409483 | − | 0.912318i | \(-0.365709\pi\) | ||||
0.409483 | + | 0.912318i | \(0.365709\pi\) | |||||||
\(194\) | 14.2726 | + | 13.1178i | 1.02472 | + | 0.941800i | ||||
\(195\) | 3.43640 | 0.246086 | ||||||||
\(196\) | 0.765407 | + | 9.06050i | 0.0546719 | + | 0.647178i | ||||
\(197\) | − | 14.0886i | − | 1.00377i | −0.864933 | − | 0.501887i | \(-0.832639\pi\) | ||
0.864933 | − | 0.501887i | \(-0.167361\pi\) | |||||||
\(198\) | 0.505890 | − | 0.550428i | 0.0359520 | − | 0.0391172i | ||||
\(199\) | 10.3476i | 0.733523i | 0.930315 | + | 0.366762i | \(0.119534\pi\) | ||||
−0.930315 | + | 0.366762i | \(0.880466\pi\) | |||||||
\(200\) | −7.02514 | − | 5.44080i | −0.496752 | − | 0.384723i | ||||
\(201\) | −7.97595 | + | 1.83962i | −0.562580 | + | 0.129757i | ||||
\(202\) | 0.778543 | + | 0.715547i | 0.0547781 | + | 0.0503457i | ||||
\(203\) | −11.9881 | −0.841398 | ||||||||
\(204\) | −1.00598 | − | 11.9082i | −0.0704325 | − | 0.833744i | ||||
\(205\) | −15.3813 | −1.07428 | ||||||||
\(206\) | −6.59977 | − | 6.06575i | −0.459828 | − | 0.422621i | ||||
\(207\) | − | 2.87303i | − | 0.199690i | ||||||
\(208\) | 1.69150 | + | 9.94009i | 0.117284 | + | 0.689221i | ||||
\(209\) | − | 1.32751i | − | 0.0918260i | ||||||
\(210\) | 2.22346 | + | 2.04354i | 0.153433 | + | 0.141018i | ||||
\(211\) | − | 11.9542i | − | 0.822960i | −0.911419 | − | 0.411480i | \(-0.865012\pi\) | ||
0.911419 | − | 0.411480i | \(-0.134988\pi\) | |||||||
\(212\) | 22.3904 | − | 1.89148i | 1.53778 | − | 0.129907i | ||||
\(213\) | 4.62331i | 0.316784i | ||||||||
\(214\) | 3.62304 | + | 3.32988i | 0.247666 | + | 0.227626i | ||||
\(215\) | 5.21709i | 0.355802i | ||||||||
\(216\) | −2.23620 | − | 1.73188i | −0.152154 | − | 0.117840i | ||||
\(217\) | 12.7795 | 0.867532 | ||||||||
\(218\) | −15.2856 | − | 14.0488i | −1.03527 | − | 0.951503i | ||||
\(219\) | −12.1580 | −0.821561 | ||||||||
\(220\) | 1.43619 | − | 0.121325i | 0.0968278 | − | 0.00817975i | ||||
\(221\) | − | 15.0623i | − | 1.01320i | ||||||
\(222\) | −7.46669 | + | 8.12405i | −0.501132 | + | 0.545251i | ||||
\(223\) | − | 20.0207i | − | 1.34069i | −0.742052 | − | 0.670343i | \(-0.766147\pi\) | ||
0.742052 | − | 0.670343i | \(-0.233853\pi\) | |||||||
\(224\) | −4.81668 | + | 7.43743i | −0.321828 | + | 0.496934i | ||||
\(225\) | 3.14155 | 0.209437 | ||||||||
\(226\) | 14.1021 | + | 12.9610i | 0.938057 | + | 0.862153i | ||||
\(227\) | 26.1910i | 1.73836i | 0.494496 | + | 0.869180i | \(0.335352\pi\) | ||||
−0.494496 | + | 0.869180i | \(0.664648\pi\) | |||||||
\(228\) | −5.00465 | + | 0.422780i | −0.331441 | + | 0.0279993i | ||||
\(229\) | − | 2.35904i | − | 0.155890i | −0.996958 | − | 0.0779448i | \(-0.975164\pi\) | ||
0.996958 | − | 0.0779448i | \(-0.0248358\pi\) | |||||||
\(230\) | 3.74819 | − | 4.07818i | 0.247148 | − | 0.268907i | ||||
\(231\) | 0.828045 | 0.0544813 | ||||||||
\(232\) | 17.1142 | + | 13.2545i | 1.12360 | + | 0.870203i | ||||
\(233\) | 8.87262i | 0.581264i | 0.956835 | + | 0.290632i | \(0.0938656\pi\) | ||||
−0.956835 | + | 0.290632i | \(0.906134\pi\) | |||||||
\(234\) | −2.62470 | − | 2.41232i | −0.171582 | − | 0.157698i | ||||
\(235\) | 5.09350 | 0.332263 | ||||||||
\(236\) | −16.8334 | + | 1.42204i | −1.09576 | + | 0.0925670i | ||||
\(237\) | −2.66595 | −0.173172 | ||||||||
\(238\) | 8.95717 | − | 9.74575i | 0.580607 | − | 0.631723i | ||||
\(239\) | 1.14012 | 0.0737480 | 0.0368740 | − | 0.999320i | \(-0.488260\pi\) | ||||
0.0368740 | + | 0.999320i | \(0.488260\pi\) | |||||||
\(240\) | −0.914781 | − | 5.37572i | −0.0590488 | − | 0.347001i | ||||
\(241\) | −5.93089 | −0.382042 | −0.191021 | − | 0.981586i | \(-0.561180\pi\) | ||||
−0.191021 | + | 0.981586i | \(0.561180\pi\) | |||||||
\(242\) | −10.2594 | + | 11.1627i | −0.659500 | + | 0.717562i | ||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | −4.07501 | + | 0.344246i | −0.260876 | + | 0.0220381i | ||||
\(245\) | − | 6.19785i | − | 0.395966i | ||||||
\(246\) | 11.7481 | + | 10.7975i | 0.749034 | + | 0.688426i | ||||
\(247\) | −6.33020 | −0.402781 | ||||||||
\(248\) | −18.2441 | − | 14.1296i | −1.15850 | − | 0.897232i | ||||
\(249\) | 11.3473i | 0.719104i | ||||||||
\(250\) | 11.5567 | + | 10.6216i | 0.730908 | + | 0.671766i | ||||
\(251\) | −10.4883 | −0.662016 | −0.331008 | − | 0.943628i | \(-0.607389\pi\) | ||||
−0.331008 | + | 0.943628i | \(0.607389\pi\) | |||||||
\(252\) | −0.263712 | − | 3.12169i | −0.0166123 | − | 0.196648i | ||||
\(253\) | − | 1.51877i | − | 0.0954841i | ||||||
\(254\) | −12.3110 | − | 11.3148i | −0.772459 | − | 0.709955i | ||||
\(255\) | 8.14586i | 0.510113i | ||||||||
\(256\) | 15.0994 | − | 5.29216i | 0.943715 | − | 0.330760i | ||||
\(257\) | 31.3242 | 1.95395 | 0.976974 | − | 0.213357i | \(-0.0684397\pi\) | ||||
0.976974 | + | 0.213357i | \(0.0684397\pi\) | |||||||
\(258\) | 3.66234 | − | 3.98477i | 0.228007 | − | 0.248081i | ||||
\(259\) | −12.2215 | −0.759410 | ||||||||
\(260\) | −0.578535 | − | 6.84841i | −0.0358792 | − | 0.424720i | ||||
\(261\) | −7.65326 | −0.473725 | ||||||||
\(262\) | −4.66083 | − | 4.28369i | −0.287947 | − | 0.264647i | ||||
\(263\) | − | 6.28457i | − | 0.387523i | −0.981049 | − | 0.193762i | \(-0.937931\pi\) | ||
0.981049 | − | 0.193762i | \(-0.0620689\pi\) | |||||||
\(264\) | −1.18212 | − | 0.915522i | −0.0727543 | − | 0.0563465i | ||||
\(265\) | −15.3162 | −0.940866 | ||||||||
\(266\) | −4.09583 | − | 3.76441i | −0.251131 | − | 0.230811i | ||||
\(267\) | 2.96297 | 0.181331 | ||||||||
\(268\) | 5.00897 | + | 15.5856i | 0.305972 | + | 0.952041i | ||||
\(269\) | −15.0340 | −0.916638 | −0.458319 | − | 0.888788i | \(-0.651548\pi\) | ||||
−0.458319 | + | 0.888788i | \(0.651548\pi\) | |||||||
\(270\) | 1.41947 | + | 1.30461i | 0.0863860 | + | 0.0793960i | ||||
\(271\) | −18.8437 | −1.14468 | −0.572338 | − | 0.820018i | \(-0.693963\pi\) | ||||
−0.572338 | + | 0.820018i | \(0.693963\pi\) | |||||||
\(272\) | −23.5626 | + | 4.00962i | −1.42869 | + | 0.243119i | ||||
\(273\) | − | 3.94850i | − | 0.238974i | ||||||
\(274\) | 3.88114 | + | 3.56709i | 0.234468 | + | 0.215496i | ||||
\(275\) | 1.66071 | 0.100145 | ||||||||
\(276\) | −5.72567 | + | 0.483690i | −0.344645 | + | 0.0291147i | ||||
\(277\) | 6.93613 | 0.416752 | 0.208376 | − | 0.978049i | \(-0.433182\pi\) | ||||
0.208376 | + | 0.978049i | \(0.433182\pi\) | |||||||
\(278\) | 9.48763 | − | 10.3229i | 0.569030 | − | 0.619127i | ||||
\(279\) | 8.15854 | 0.488439 | ||||||||
\(280\) | 3.69825 | − | 4.77517i | 0.221013 | − | 0.285371i | ||||
\(281\) | 14.3372i | 0.855284i | 0.903948 | + | 0.427642i | \(0.140656\pi\) | ||||
−0.903948 | + | 0.427642i | \(0.859344\pi\) | |||||||
\(282\) | −3.89038 | − | 3.57559i | −0.231669 | − | 0.212923i | ||||
\(283\) | − | 15.1828i | − | 0.902524i | −0.892392 | − | 0.451262i | \(-0.850974\pi\) | ||
0.892392 | − | 0.451262i | \(-0.149026\pi\) | |||||||
\(284\) | 9.21381 | − | 0.778358i | 0.546739 | − | 0.0461870i | ||||
\(285\) | 3.42344 | 0.202787 | ||||||||
\(286\) | −1.38749 | − | 1.27522i | −0.0820439 | − | 0.0754053i | ||||
\(287\) | 17.6735i | 1.04323i | ||||||||
\(288\) | −3.07499 | + | 4.74810i | −0.181196 | + | 0.279784i | ||||
\(289\) | 18.7046 | 1.10027 | ||||||||
\(290\) | −10.8635 | − | 9.98451i | −0.637929 | − | 0.586311i | ||||
\(291\) | 13.7074i | 0.803540i | ||||||||
\(292\) | 2.04686 | + | 24.2297i | 0.119783 | + | 1.41793i | ||||
\(293\) | 18.5571 | 1.08412 | 0.542060 | − | 0.840340i | \(-0.317645\pi\) | ||||
0.542060 | + | 0.840340i | \(0.317645\pi\) | |||||||
\(294\) | −4.35083 | + | 4.73387i | −0.253745 | + | 0.276085i | ||||
\(295\) | 11.5149 | 0.670425 | ||||||||
\(296\) | 17.4475 | + | 13.5127i | 1.01412 | + | 0.785407i | ||||
\(297\) | 0.528628 | 0.0306741 | ||||||||
\(298\) | −3.75396 | + | 4.08445i | −0.217461 | + | 0.236606i | ||||
\(299\) | −7.24219 | −0.418826 | ||||||||
\(300\) | −0.528896 | − | 6.26081i | −0.0305358 | − | 0.361468i | ||||
\(301\) | 5.99455 | 0.345520 | ||||||||
\(302\) | 24.1527 | + | 22.1984i | 1.38983 | + | 1.27737i | ||||
\(303\) | 0.747709i | 0.0429547i | ||||||||
\(304\) | 1.68512 | + | 9.90261i | 0.0966481 | + | 0.567953i | ||||
\(305\) | 2.78752 | 0.159613 | ||||||||
\(306\) | 5.71831 | − | 6.22174i | 0.326894 | − | 0.355673i | ||||
\(307\) | 9.16937i | 0.523324i | 0.965160 | + | 0.261662i | \(0.0842705\pi\) | ||||
−0.965160 | + | 0.261662i | \(0.915729\pi\) | |||||||
\(308\) | −0.139405 | − | 1.65021i | −0.00794336 | − | 0.0940295i | ||||
\(309\) | − | 6.33839i | − | 0.360578i | ||||||
\(310\) | 11.5808 | + | 10.6437i | 0.657744 | + | 0.604522i | ||||
\(311\) | 0.305968 | 0.0173499 | 0.00867493 | − | 0.999962i | \(-0.497239\pi\) | ||||
0.00867493 | + | 0.999962i | \(0.497239\pi\) | |||||||
\(312\) | −4.36563 | + | 5.63689i | −0.247155 | + | 0.319126i | ||||
\(313\) | 4.08597i | 0.230952i | 0.993310 | + | 0.115476i | \(0.0368394\pi\) | ||||
−0.993310 | + | 0.115476i | \(0.963161\pi\) | |||||||
\(314\) | −1.65381 | + | 1.79941i | −0.0933298 | + | 0.101546i | ||||
\(315\) | 2.13540i | 0.120316i | ||||||||
\(316\) | 0.448825 | + | 5.31297i | 0.0252484 | + | 0.298878i | ||||
\(317\) | −12.1082 | −0.680064 | −0.340032 | − | 0.940414i | \(-0.610438\pi\) | ||||
−0.340032 | + | 0.940414i | \(0.610438\pi\) | |||||||
\(318\) | 11.6984 | + | 10.7518i | 0.656013 | + | 0.602931i | ||||
\(319\) | −4.04573 | −0.226517 | ||||||||
\(320\) | −10.5593 | + | 2.72810i | −0.590281 | + | 0.152505i | ||||
\(321\) | 3.47954i | 0.194209i | ||||||||
\(322\) | −4.68591 | − | 4.30675i | −0.261136 | − | 0.240006i | ||||
\(323\) | − | 15.0055i | − | 0.834928i | ||||||
\(324\) | −0.168355 | − | 1.99290i | −0.00935306 | − | 0.110717i | ||||
\(325\) | − | 7.91906i | − | 0.439270i | ||||||
\(326\) | −19.8058 | − | 18.2032i | −1.09694 | − | 1.00818i | ||||
\(327\) | − | 14.6802i | − | 0.811818i | ||||||
\(328\) | 19.5406 | − | 25.2307i | 1.07895 | − | 1.39313i | ||||
\(329\) | − | 5.85255i | − | 0.322661i | ||||||
\(330\) | 0.750370 | + | 0.689654i | 0.0413065 | + | 0.0379642i | ||||
\(331\) | 34.6082 | 1.90224 | 0.951120 | − | 0.308821i | \(-0.0999345\pi\) | ||||
0.951120 | + | 0.308821i | \(0.0999345\pi\) | |||||||
\(332\) | 22.6140 | − | 1.91037i | 1.24110 | − | 0.104845i | ||||
\(333\) | −7.80230 | −0.427563 | ||||||||
\(334\) | 8.72639 | + | 8.02029i | 0.477487 | + | 0.438851i | ||||
\(335\) | −2.50786 | − | 10.8732i | −0.137019 | − | 0.594067i | ||||
\(336\) | −6.17681 | + | 1.05110i | −0.336973 | + | 0.0573424i | ||||
\(337\) | − | 14.8377i | − | 0.808261i | −0.914701 | − | 0.404130i | \(-0.867574\pi\) | ||
0.914701 | − | 0.404130i | \(-0.132426\pi\) | |||||||
\(338\) | 6.35998 | − | 6.91991i | 0.345937 | − | 0.376393i | ||||
\(339\) | 13.5436i | 0.735586i | ||||||||
\(340\) | 16.2339 | − | 1.37140i | 0.880407 | − | 0.0743744i | ||||
\(341\) | 4.31283 | 0.233553 | ||||||||
\(342\) | −2.61480 | − | 2.40322i | −0.141392 | − | 0.129951i | ||||
\(343\) | −18.0863 | −0.976567 | ||||||||
\(344\) | −8.55783 | − | 6.62783i | −0.461407 | − | 0.357349i | ||||
\(345\) | 3.91666 | 0.210866 | ||||||||
\(346\) | −3.98953 | + | 4.34076i | −0.214478 | + | 0.233361i | ||||
\(347\) | −20.5055 | −1.10079 | −0.550396 | − | 0.834904i | \(-0.685523\pi\) | ||||
−0.550396 | + | 0.834904i | \(0.685523\pi\) | |||||||
\(348\) | 1.28846 | + | 15.2522i | 0.0690689 | + | 0.817603i | ||||
\(349\) | −13.8409 | −0.740885 | −0.370443 | − | 0.928855i | \(-0.620794\pi\) | ||||
−0.370443 | + | 0.928855i | \(0.620794\pi\) | |||||||
\(350\) | 4.70927 | − | 5.12387i | 0.251721 | − | 0.273882i | ||||
\(351\) | − | 2.52074i | − | 0.134547i | ||||||
\(352\) | −1.62553 | + | 2.50998i | −0.0866410 | + | 0.133782i | ||||
\(353\) | − | 34.4969i | − | 1.83608i | −0.396483 | − | 0.918042i | \(-0.629769\pi\) | ||
0.396483 | − | 0.918042i | \(-0.370231\pi\) | |||||||
\(354\) | −8.79501 | − | 8.08335i | −0.467449 | − | 0.429625i | ||||
\(355\) | −6.30272 | −0.334514 | ||||||||
\(356\) | −0.498832 | − | 5.90492i | −0.0264380 | − | 0.312960i | ||||
\(357\) | 9.35977 | 0.495372 | ||||||||
\(358\) | 15.5291 | − | 16.8963i | 0.820740 | − | 0.892998i | ||||
\(359\) | − | 19.8390i | − | 1.04706i | −0.852007 | − | 0.523531i | \(-0.824614\pi\) | ||
0.852007 | − | 0.523531i | \(-0.175386\pi\) | |||||||
\(360\) | 2.36098 | − | 3.04849i | 0.124435 | − | 0.160670i | ||||
\(361\) | 12.6937 | 0.668088 | ||||||||
\(362\) | −5.68309 | + | 6.18342i | −0.298696 | + | 0.324993i | ||||
\(363\) | −10.7206 | −0.562683 | ||||||||
\(364\) | −7.86897 | + | 0.664750i | −0.412446 | + | 0.0348424i | ||||
\(365\) | − | 16.5744i | − | 0.867542i | ||||||
\(366\) | −2.12909 | − | 1.95681i | −0.111289 | − | 0.102284i | ||||
\(367\) | −30.4913 | −1.59163 | −0.795815 | − | 0.605540i | \(-0.792957\pi\) | ||||
−0.795815 | + | 0.605540i | \(0.792957\pi\) | |||||||
\(368\) | 1.92789 | + | 11.3293i | 0.100498 | + | 0.590579i | ||||
\(369\) | 11.2829i | 0.587362i | ||||||||
\(370\) | −11.0751 | − | 10.1790i | −0.575767 | − | 0.529179i | ||||
\(371\) | 17.5986i | 0.913675i | ||||||||
\(372\) | −1.37353 | − | 16.2592i | −0.0712142 | − | 0.842998i | ||||
\(373\) | 13.4697i | 0.697436i | 0.937228 | + | 0.348718i | \(0.113383\pi\) | ||||
−0.937228 | + | 0.348718i | \(0.886617\pi\) | |||||||
\(374\) | 3.02286 | − | 3.28899i | 0.156308 | − | 0.170070i | ||||
\(375\) | 11.0990i | 0.573148i | ||||||||
\(376\) | −6.47083 | + | 8.35511i | −0.333707 | + | 0.430882i | ||||
\(377\) | 19.2919i | 0.993584i | ||||||||
\(378\) | 1.49903 | − | 1.63100i | 0.0771015 | − | 0.0838895i | ||||
\(379\) | 0.700479 | 0.0359812 | 0.0179906 | − | 0.999838i | \(-0.494273\pi\) | ||||
0.0179906 | + | 0.999838i | \(0.494273\pi\) | |||||||
\(380\) | −0.576354 | − | 6.82259i | −0.0295663 | − | 0.349991i | ||||
\(381\) | − | 11.8234i | − | 0.605730i | ||||||
\(382\) | −14.2007 | + | 15.4509i | −0.726570 | + | 0.790537i | ||||
\(383\) | −20.8295 | −1.06434 | −0.532170 | − | 0.846638i | \(-0.678623\pi\) | ||||
−0.532170 | + | 0.846638i | \(0.678623\pi\) | |||||||
\(384\) | 9.98018 | + | 5.32879i | 0.509299 | + | 0.271934i | ||||
\(385\) | 1.12883i | 0.0575305i | ||||||||
\(386\) | 10.8881 | − | 11.8466i | 0.554188 | − | 0.602978i | ||||
\(387\) | 3.82695 | 0.194535 | ||||||||
\(388\) | 27.3174 | − | 2.30770i | 1.38683 | − | 0.117156i | ||||
\(389\) | −13.9967 | −0.709661 | −0.354830 | − | 0.934931i | \(-0.615461\pi\) | ||||
−0.354830 | + | 0.934931i | \(0.615461\pi\) | |||||||
\(390\) | 3.28859 | − | 3.57811i | 0.166524 | − | 0.181185i | ||||
\(391\) | − | 17.1673i | − | 0.868189i | ||||||
\(392\) | 10.1666 | + | 7.87380i | 0.513492 | + | 0.397687i | ||||
\(393\) | − | 4.47623i | − | 0.225796i | ||||||
\(394\) | −14.6696 | − | 13.4826i | −0.739046 | − | 0.679245i | ||||
\(395\) | − | 3.63435i | − | 0.182864i | ||||||
\(396\) | −0.0889972 | − | 1.05350i | −0.00447228 | − | 0.0529406i | ||||
\(397\) | −0.391387 | −0.0196431 | −0.00982157 | − | 0.999952i | \(-0.503126\pi\) | ||||
−0.00982157 | + | 0.999952i | \(0.503126\pi\) | |||||||
\(398\) | 10.7743 | + | 9.90253i | 0.540069 | + | 0.496369i | ||||
\(399\) | − | 3.93361i | − | 0.196927i | ||||||
\(400\) | −12.3881 | + | 2.10808i | −0.619407 | + | 0.105404i | ||||
\(401\) | − | 13.7484i | − | 0.686561i | −0.939233 | − | 0.343281i | \(-0.888462\pi\) | ||
0.939233 | − | 0.343281i | \(-0.111538\pi\) | |||||||
\(402\) | −5.71739 | + | 10.0654i | −0.285158 | + | 0.502014i | ||||
\(403\) | − | 20.5656i | − | 1.02444i | ||||||
\(404\) | 1.49011 | − | 0.125881i | 0.0741357 | − | 0.00626279i | ||||
\(405\) | 1.36325i | 0.0677404i | ||||||||
\(406\) | −11.4724 | + | 12.4824i | −0.569367 | + | 0.619493i | ||||
\(407\) | −4.12452 | −0.204445 | ||||||||
\(408\) | −13.3620 | − | 10.3486i | −0.661519 | − | 0.512330i | ||||
\(409\) | − | 19.5659i | − | 0.967469i | −0.875215 | − | 0.483735i | \(-0.839280\pi\) | ||
0.875215 | − | 0.483735i | \(-0.160720\pi\) | |||||||
\(410\) | −14.7197 | + | 16.0156i | −0.726955 | + | 0.790956i | ||||
\(411\) | 3.72743i | 0.183860i | ||||||||
\(412\) | −12.6318 | + | 1.06710i | −0.622323 | + | 0.0525722i | ||||
\(413\) | − | 13.2309i | − | 0.651050i | ||||||
\(414\) | −2.99151 | − | 2.74945i | −0.147025 | − | 0.135128i | ||||
\(415\) | −15.4692 | −0.759351 | ||||||||
\(416\) | 11.9687 | + | 7.75127i | 0.586816 | + | 0.380038i | ||||
\(417\) | 9.91407 | 0.485494 | ||||||||
\(418\) | −1.38226 | − | 1.27041i | −0.0676084 | − | 0.0621378i | ||||
\(419\) | − | 30.3583i | − | 1.48310i | −0.670896 | − | 0.741551i | \(-0.734090\pi\) | ||
0.670896 | − | 0.741551i | \(-0.265910\pi\) | |||||||
\(420\) | 4.25563 | − | 0.359505i | 0.207654 | − | 0.0175420i | ||||
\(421\) | −8.09140 | −0.394351 | −0.197175 | − | 0.980368i | \(-0.563177\pi\) | ||||
−0.197175 | + | 0.980368i | \(0.563177\pi\) | |||||||
\(422\) | −12.4472 | − | 11.4400i | −0.605918 | − | 0.556890i | ||||
\(423\) | − | 3.73630i | − | 0.181665i | ||||||
\(424\) | 19.4578 | − | 25.1238i | 0.944954 | − | 1.22012i | ||||
\(425\) | 18.7718 | 0.910567 | ||||||||
\(426\) | 4.81397 | + | 4.42445i | 0.233238 | + | 0.214365i | ||||
\(427\) | − | 3.20292i | − | 0.155000i | ||||||
\(428\) | 6.93439 | − | 0.585799i | 0.335186 | − | 0.0283156i | ||||
\(429\) | − | 1.33254i | − | 0.0643355i | ||||||
\(430\) | 5.43223 | + | 4.99268i | 0.261965 | + | 0.240768i | ||||
\(431\) | − | 21.3247i | − | 1.02717i | −0.858037 | − | 0.513587i | \(-0.828316\pi\) | ||
0.858037 | − | 0.513587i | \(-0.171684\pi\) | |||||||
\(432\) | −3.94331 | + | 0.671030i | −0.189723 | + | 0.0322849i | ||||
\(433\) | − | 10.3106i | − | 0.495494i | −0.968825 | − | 0.247747i | \(-0.920310\pi\) | ||
0.968825 | − | 0.247747i | \(-0.0796901\pi\) | |||||||
\(434\) | 12.2299 | − | 13.3066i | 0.587052 | − | 0.638735i | ||||
\(435\) | − | 10.4333i | − | 0.500238i | ||||||
\(436\) | −29.2562 | + | 2.47149i | −1.40112 | + | 0.118363i | ||||
\(437\) | −7.21488 | −0.345134 | ||||||||
\(438\) | −11.6350 | + | 12.6594i | −0.555943 | + | 0.604888i | ||||
\(439\) | − | 35.7951i | − | 1.70840i | −0.519941 | − | 0.854202i | \(-0.674046\pi\) | ||
0.519941 | − | 0.854202i | \(-0.325954\pi\) | |||||||
\(440\) | 1.24808 | − | 1.61152i | 0.0595000 | − | 0.0768262i | ||||
\(441\) | −4.54638 | −0.216494 | ||||||||
\(442\) | −15.6834 | − | 14.4144i | −0.745984 | − | 0.685623i | ||||
\(443\) | 9.33817 | 0.443670 | 0.221835 | − | 0.975084i | \(-0.428795\pi\) | ||||
0.221835 | + | 0.975084i | \(0.428795\pi\) | |||||||
\(444\) | 1.31356 | + | 15.5492i | 0.0623386 | + | 0.737933i | ||||
\(445\) | 4.03927i | 0.191480i | ||||||||
\(446\) | −20.8463 | − | 19.1595i | −0.987102 | − | 0.907230i | ||||
\(447\) | −3.92269 | −0.185537 | ||||||||
\(448\) | 3.13464 | + | 12.1328i | 0.148098 | + | 0.573222i | ||||
\(449\) | −6.33662 | −0.299044 | −0.149522 | − | 0.988758i | \(-0.547773\pi\) | ||||
−0.149522 | + | 0.988758i | \(0.547773\pi\) | |||||||
\(450\) | 3.00642 | − | 3.27111i | 0.141724 | − | 0.154201i | ||||
\(451\) | 5.96444i | 0.280854i | ||||||||
\(452\) | 26.9910 | − | 2.28013i | 1.26955 | − | 0.107248i | ||||
\(453\) | 23.1961i | 1.08985i | ||||||||
\(454\) | 27.2711 | + | 25.0644i | 1.27990 | + | 1.17633i | ||||
\(455\) | 5.38279 | 0.252349 | ||||||||
\(456\) | −4.34917 | + | 5.61563i | −0.203669 | + | 0.262976i | ||||
\(457\) | 2.11160 | 0.0987765 | 0.0493883 | − | 0.998780i | \(-0.484273\pi\) | ||||
0.0493883 | + | 0.998780i | \(0.484273\pi\) | |||||||
\(458\) | −2.45632 | − | 2.25757i | −0.114776 | − | 0.105489i | ||||
\(459\) | 5.97533 | 0.278904 | ||||||||
\(460\) | −0.659389 | − | 7.80552i | −0.0307442 | − | 0.363934i | ||||
\(461\) | 16.4701 | 0.767087 | 0.383544 | − | 0.923523i | \(-0.374704\pi\) | ||||
0.383544 | + | 0.923523i | \(0.374704\pi\) | |||||||
\(462\) | 0.792427 | − | 0.862192i | 0.0368670 | − | 0.0401128i | ||||
\(463\) | 3.43056 | 0.159432 | 0.0797158 | − | 0.996818i | \(-0.474599\pi\) | ||||
0.0797158 | + | 0.996818i | \(0.474599\pi\) | |||||||
\(464\) | 30.1792 | − | 5.13556i | 1.40103 | − | 0.238413i | ||||
\(465\) | 11.1221i | 0.515776i | ||||||||
\(466\) | 9.23851 | + | 8.49097i | 0.427966 | + | 0.393337i | ||||
\(467\) | − | 3.69099i | − | 0.170798i | −0.996347 | − | 0.0853992i | \(-0.972783\pi\) | ||
0.996347 | − | 0.0853992i | \(-0.0272166\pi\) | |||||||
\(468\) | −5.02360 | + | 0.424380i | −0.232216 | + | 0.0196170i | ||||
\(469\) | −12.4935 | + | 2.88158i | −0.576898 | + | 0.133059i | ||||
\(470\) | 4.87441 | − | 5.30355i | 0.224840 | − | 0.244635i | ||||
\(471\) | −1.72814 | −0.0796286 | ||||||||
\(472\) | −14.6286 | + | 18.8885i | −0.673338 | + | 0.869412i | ||||
\(473\) | 2.02304 | 0.0930193 | ||||||||
\(474\) | −2.55127 | + | 2.77589i | −0.117184 | + | 0.127501i | ||||
\(475\) | − | 7.88920i | − | 0.361981i | ||||||
\(476\) | −1.57576 | − | 18.6531i | −0.0722250 | − | 0.854963i | ||||
\(477\) | 11.2351i | 0.514418i | ||||||||
\(478\) | 1.09108 | − | 1.18713i | 0.0499047 | − | 0.0542982i | ||||
\(479\) | 21.8923i | 1.00028i | 0.865943 | + | 0.500142i | \(0.166719\pi\) | ||||
−0.865943 | + | 0.500142i | \(0.833281\pi\) | |||||||
\(480\) | −6.47283 | − | 4.19198i | −0.295443 | − | 0.191337i | ||||
\(481\) | 19.6676i | 0.896766i | ||||||||
\(482\) | −5.67578 | + | 6.17547i | −0.258525 | + | 0.281285i | ||||
\(483\) | − | 4.50033i | − | 0.204772i | ||||||
\(484\) | 1.80486 | + | 21.3650i | 0.0820390 | + | 0.971137i | ||||
\(485\) | −18.6865 | −0.848512 | ||||||||
\(486\) | 0.956986 | − | 1.04124i | 0.0434098 | − | 0.0472315i | ||||
\(487\) | 11.7289 | 0.531488 | 0.265744 | − | 0.964044i | \(-0.414382\pi\) | ||||
0.265744 | + | 0.964044i | \(0.414382\pi\) | |||||||
\(488\) | −3.54129 | + | 4.57250i | −0.160306 | + | 0.206987i | ||||
\(489\) | − | 19.0214i | − | 0.860178i | ||||||
\(490\) | −6.45344 | − | 5.93126i | −0.291537 | − | 0.267947i | ||||
\(491\) | − | 8.85707i | − | 0.399714i | −0.979825 | − | 0.199857i | \(-0.935952\pi\) | ||
0.979825 | − | 0.199857i | \(-0.0640478\pi\) | |||||||
\(492\) | 22.4856 | − | 1.89952i | 1.01373 | − | 0.0856372i | ||||
\(493\) | −45.7307 | −2.05961 | ||||||||
\(494\) | −6.05791 | + | 6.59124i | −0.272558 | + | 0.296554i | ||||
\(495\) | 0.720652i | 0.0323909i | ||||||||
\(496\) | −32.1717 | + | 5.47462i | −1.44455 | + | 0.245818i | ||||
\(497\) | 7.24197i | 0.324847i | ||||||||
\(498\) | 11.8152 | + | 10.8592i | 0.529453 | + | 0.486612i | ||||
\(499\) | 21.7924 | 0.975561 | 0.487781 | − | 0.872966i | \(-0.337807\pi\) | ||||
0.487781 | + | 0.872966i | \(0.337807\pi\) | |||||||
\(500\) | 22.1191 | − | 1.86857i | 0.989198 | − | 0.0835648i | ||||
\(501\) | 8.38078i | 0.374426i | ||||||||
\(502\) | −10.0372 | + | 10.9208i | −0.447981 | + | 0.487421i | ||||
\(503\) | 11.4232 | 0.509334 | 0.254667 | − | 0.967029i | \(-0.418034\pi\) | ||||
0.254667 | + | 0.967029i | \(0.418034\pi\) | |||||||
\(504\) | −3.50279 | − | 2.71282i | −0.156027 | − | 0.120839i | ||||
\(505\) | −1.01931 | −0.0453588 | ||||||||
\(506\) | −1.58140 | − | 1.45344i | −0.0703017 | − | 0.0646132i | ||||
\(507\) | 6.64585 | 0.295152 | ||||||||
\(508\) | −23.5628 | + | 1.99053i | −1.04543 | + | 0.0883153i | ||||
\(509\) | −2.75233 | −0.121995 | −0.0609974 | − | 0.998138i | \(-0.519428\pi\) | ||||
−0.0609974 | + | 0.998138i | \(0.519428\pi\) | |||||||
\(510\) | 8.48178 | + | 7.79547i | 0.375580 | + | 0.345189i | ||||
\(511\) | −19.0443 | −0.842470 | ||||||||
\(512\) | 8.93955 | − | 20.7866i | 0.395076 | − | 0.918648i | ||||
\(513\) | − | 2.51124i | − | 0.110874i | ||||||
\(514\) | 29.9768 | − | 32.6159i | 1.32222 | − | 1.43863i | ||||
\(515\) | 8.64079 | 0.380759 | ||||||||
\(516\) | −0.644287 | − | 7.62674i | −0.0283631 | − | 0.335749i | ||||
\(517\) | − | 1.97511i | − | 0.0868654i | ||||||
\(518\) | −11.6958 | + | 12.7255i | −0.513886 | + | 0.559128i | ||||
\(519\) | −4.16884 | −0.182992 | ||||||||
\(520\) | −7.68448 | − | 5.95144i | −0.336987 | − | 0.260988i | ||||
\(521\) | − | 23.2054i | − | 1.01665i | −0.861166 | − | 0.508324i | \(-0.830265\pi\) | ||
0.861166 | − | 0.508324i | \(-0.169735\pi\) | |||||||
\(522\) | −7.32406 | + | 7.96886i | −0.320565 | + | 0.348788i | ||||
\(523\) | − | 3.30778i | − | 0.144639i | −0.997382 | − | 0.0723196i | \(-0.976960\pi\) | ||
0.997382 | − | 0.0723196i | \(-0.0230402\pi\) | |||||||
\(524\) | −8.92069 | + | 0.753596i | −0.389702 | + | 0.0329210i | ||||
\(525\) | 4.92094 | 0.214767 | ||||||||
\(526\) | −6.54374 | − | 6.01425i | −0.285321 | − | 0.262234i | ||||
\(527\) | 48.7499 | 2.12358 | ||||||||
\(528\) | −2.08455 | + | 0.354725i | −0.0907183 | + | 0.0154374i | ||||
\(529\) | 14.7457 | 0.641116 | ||||||||
\(530\) | −14.6574 | + | 15.9478i | −0.636676 | + | 0.692728i | ||||
\(531\) | − | 8.44668i | − | 0.366555i | ||||||
\(532\) | −7.83930 | + | 0.662243i | −0.339877 | + | 0.0287119i | ||||
\(533\) | 28.4412 | 1.23192 | ||||||||
\(534\) | 2.83553 | − | 3.08516i | 0.122705 | − | 0.133508i | ||||
\(535\) | −4.74348 | −0.205079 | ||||||||
\(536\) | 21.0218 | + | 9.69965i | 0.908004 | + | 0.418961i | ||||
\(537\) | 16.2271 | 0.700252 | ||||||||
\(538\) | −14.3873 | + | 15.6540i | −0.620281 | + | 0.674890i | ||||
\(539\) | −2.40335 | −0.103519 | ||||||||
\(540\) | 2.71682 | − | 0.229510i | 0.116913 | − | 0.00987653i | ||||
\(541\) | 12.1689i | 0.523183i | 0.965179 | + | 0.261592i | \(0.0842474\pi\) | ||||
−0.965179 | + | 0.261592i | \(0.915753\pi\) | |||||||
\(542\) | −18.0332 | + | 19.6208i | −0.774592 | + | 0.842787i | ||||
\(543\) | −5.93853 | −0.254847 | ||||||||
\(544\) | −18.3741 | + | 28.3714i | −0.787783 | + | 1.21642i | ||||
\(545\) | 20.0128 | 0.857254 | ||||||||
\(546\) | −4.11133 | − | 3.77866i | −0.175949 | − | 0.161712i | ||||
\(547\) | 15.3448 | 0.656096 | 0.328048 | − | 0.944661i | \(-0.393609\pi\) | ||||
0.328048 | + | 0.944661i | \(0.393609\pi\) | |||||||
\(548\) | 7.42839 | − | 0.627531i | 0.317325 | − | 0.0268068i | ||||
\(549\) | − | 2.04476i | − | 0.0872683i | ||||||
\(550\) | 1.58928 | − | 1.72920i | 0.0677671 | − | 0.0737333i | ||||
\(551\) | 19.2192i | 0.818764i | ||||||||
\(552\) | −4.97575 | + | 6.42468i | −0.211782 | + | 0.273452i | ||||
\(553\) | −4.17594 | −0.177579 | ||||||||
\(554\) | 6.63778 | − | 7.22216i | 0.282012 | − | 0.306840i | ||||
\(555\) | − | 10.6365i | − | 0.451493i | ||||||
\(556\) | −1.66908 | − | 19.7578i | −0.0707849 | − | 0.837916i | ||||
\(557\) | −22.2115 | −0.941132 | −0.470566 | − | 0.882365i | \(-0.655950\pi\) | ||||
−0.470566 | + | 0.882365i | \(0.655950\pi\) | |||||||
\(558\) | 7.80761 | − | 8.49498i | 0.330522 | − | 0.359621i | ||||
\(559\) | − | 9.64677i | − | 0.408015i | ||||||
\(560\) | −1.43291 | − | 8.42053i | −0.0605517 | − | 0.355832i | ||||
\(561\) | 3.15873 | 0.133362 | ||||||||
\(562\) | 14.9284 | + | 13.7205i | 0.629718 | + | 0.578764i | ||||
\(563\) | −46.6259 | −1.96505 | −0.982523 | − | 0.186143i | \(-0.940401\pi\) | ||||
−0.982523 | + | 0.186143i | \(0.940401\pi\) | |||||||
\(564\) | −7.44607 | + | 0.629025i | −0.313536 | + | 0.0264867i | ||||
\(565\) | −18.4633 | −0.776755 | ||||||||
\(566\) | −15.8089 | − | 14.5297i | −0.664498 | − | 0.610730i | ||||
\(567\) | 1.56640 | 0.0657827 | ||||||||
\(568\) | 8.00703 | − | 10.3386i | 0.335967 | − | 0.433800i | ||||
\(569\) | 13.3971 | 0.561637 | 0.280819 | − | 0.959761i | \(-0.409394\pi\) | ||||
0.280819 | + | 0.959761i | \(0.409394\pi\) | |||||||
\(570\) | 3.27619 | − | 3.56462i | 0.137224 | − | 0.149306i | ||||
\(571\) | 22.6544i | 0.948059i | 0.880509 | + | 0.474029i | \(0.157201\pi\) | ||||
−0.880509 | + | 0.474029i | \(0.842799\pi\) | |||||||
\(572\) | −2.65562 | + | 0.224339i | −0.111037 | + | 0.00938010i | ||||
\(573\) | −14.8390 | −0.619907 | ||||||||
\(574\) | 18.4023 | + | 16.9133i | 0.768098 | + | 0.705947i | ||||
\(575\) | − | 9.02579i | − | 0.376401i | ||||||
\(576\) | 2.00117 | + | 7.74566i | 0.0833822 | + | 0.322736i | ||||
\(577\) | − | 28.6399i | − | 1.19229i | −0.802875 | − | 0.596147i | \(-0.796698\pi\) | ||
0.802875 | − | 0.596147i | \(-0.203302\pi\) | |||||||
\(578\) | 17.9000 | − | 19.4759i | 0.744542 | − | 0.810091i | ||||
\(579\) | 11.3774 | 0.472831 | ||||||||
\(580\) | −20.7925 | + | 1.75650i | −0.863362 | + | 0.0729345i | ||||
\(581\) | 17.7744i | 0.737406i | ||||||||
\(582\) | 14.2726 | + | 13.1178i | 0.591620 | + | 0.543749i | ||||
\(583\) | 5.93917i | 0.245975i | ||||||||
\(584\) | 27.1877 | + | 21.0562i | 1.12503 | + | 0.871312i | ||||
\(585\) | 3.43640 | 0.142078 | ||||||||
\(586\) | 17.7589 | − | 19.3224i | 0.733614 | − | 0.798201i | ||||
\(587\) | −46.9051 | −1.93598 | −0.967990 | − | 0.250988i | \(-0.919244\pi\) | ||||
−0.967990 | + | 0.250988i | \(0.919244\pi\) | |||||||
\(588\) | 0.765407 | + | 9.06050i | 0.0315648 | + | 0.373649i | ||||
\(589\) | − | 20.4880i | − | 0.844195i | ||||||
\(590\) | 11.0196 | − | 11.9898i | 0.453671 | − | 0.493611i | ||||
\(591\) | − | 14.0886i | − | 0.579529i | ||||||
\(592\) | 30.7669 | − | 5.23558i | 1.26451 | − | 0.215181i | ||||
\(593\) | − | 32.0451i | − | 1.31594i | −0.753046 | − | 0.657968i | \(-0.771416\pi\) | ||
0.753046 | − | 0.657968i | \(-0.228584\pi\) | |||||||
\(594\) | 0.505890 | − | 0.550428i | 0.0207569 | − | 0.0225843i | ||||
\(595\) | 12.7597i | 0.523096i | ||||||||
\(596\) | 0.660404 | + | 7.81753i | 0.0270512 | + | 0.320218i | ||||
\(597\) | 10.3476i | 0.423500i | ||||||||
\(598\) | −6.93067 | + | 7.54084i | −0.283416 | + | 0.308368i | ||||
\(599\) | 30.2463 | 1.23583 | 0.617915 | − | 0.786245i | \(-0.287978\pi\) | ||||
0.617915 | + | 0.786245i | \(0.287978\pi\) | |||||||
\(600\) | −7.02514 | − | 5.44080i | −0.286800 | − | 0.222120i | ||||
\(601\) | 14.4069 | 0.587670 | 0.293835 | − | 0.955856i | \(-0.405068\pi\) | ||||
0.293835 | + | 0.955856i | \(0.405068\pi\) | |||||||
\(602\) | 5.73670 | − | 6.24175i | 0.233810 | − | 0.254395i | ||||
\(603\) | −7.97595 | + | 1.83962i | −0.324806 | + | 0.0749151i | ||||
\(604\) | 46.2276 | − | 3.90518i | 1.88097 | − | 0.158900i | ||||
\(605\) | − | 14.6148i | − | 0.594175i | ||||||
\(606\) | 0.778543 | + | 0.715547i | 0.0316262 | + | 0.0290671i | ||||
\(607\) | 28.9051i | 1.17322i | 0.809869 | + | 0.586611i | \(0.199538\pi\) | ||||
−0.809869 | + | 0.586611i | \(0.800462\pi\) | |||||||
\(608\) | 11.9236 | + | 7.72205i | 0.483566 | + | 0.313170i | ||||
\(609\) | −11.9881 | −0.485781 | ||||||||
\(610\) | 2.66762 | − | 2.90247i | 0.108009 | − | 0.117518i | ||||
\(611\) | −9.41825 | −0.381022 | ||||||||
\(612\) | −1.00598 | − | 11.9082i | −0.0406642 | − | 0.481362i | ||||
\(613\) | 13.7771 | 0.556450 | 0.278225 | − | 0.960516i | \(-0.410254\pi\) | ||||
0.278225 | + | 0.960516i | \(0.410254\pi\) | |||||||
\(614\) | 9.54750 | + | 8.77496i | 0.385306 | + | 0.354129i | ||||
\(615\) | −15.3813 | −0.620235 | ||||||||
\(616\) | −1.85167 | − | 1.43407i | −0.0746060 | − | 0.0577805i | ||||
\(617\) | 27.5346 | 1.10850 | 0.554251 | − | 0.832349i | \(-0.313005\pi\) | ||||
0.554251 | + | 0.832349i | \(0.313005\pi\) | |||||||
\(618\) | −6.59977 | − | 6.06575i | −0.265482 | − | 0.244000i | ||||
\(619\) | 23.0359i | 0.925891i | 0.886387 | + | 0.462945i | \(0.153207\pi\) | ||||
−0.886387 | + | 0.462945i | \(0.846793\pi\) | |||||||
\(620\) | 22.1653 | − | 1.87246i | 0.890179 | − | 0.0751999i | ||||
\(621\) | − | 2.87303i | − | 0.115291i | ||||||
\(622\) | 0.292807 | − | 0.318586i | 0.0117405 | − | 0.0127741i | ||||
\(623\) | 4.64121 | 0.185946 | ||||||||
\(624\) | 1.69150 | + | 9.94009i | 0.0677140 | + | 0.397922i | ||||
\(625\) | 0.577128 | 0.0230851 | ||||||||
\(626\) | 4.25447 | + | 3.91021i | 0.170043 | + | 0.156284i | ||||
\(627\) | − | 1.32751i | − | 0.0530157i | ||||||
\(628\) | 0.290941 | + | 3.44402i | 0.0116098 | + | 0.137431i | ||||
\(629\) | −46.6213 | −1.85891 | ||||||||
\(630\) | 2.22346 | + | 2.04354i | 0.0885846 | + | 0.0814167i | ||||
\(631\) | 48.1322 | 1.91611 | 0.958055 | − | 0.286583i | \(-0.0925193\pi\) | ||||
0.958055 | + | 0.286583i | \(0.0925193\pi\) | |||||||
\(632\) | 5.96159 | + | 4.61710i | 0.237139 | + | 0.183659i | ||||
\(633\) | − | 11.9542i | − | 0.475136i | ||||||
\(634\) | −11.5874 | + | 12.6075i | −0.460193 | + | 0.500708i | ||||
\(635\) | 16.1182 | 0.639632 | ||||||||
\(636\) | 22.3904 | − | 1.89148i | 0.887836 | − | 0.0750020i | ||||
\(637\) | 11.4603i | 0.454073i | ||||||||
\(638\) | −3.87170 | + | 4.21257i | −0.153282 | + | 0.166777i | ||||
\(639\) | 4.62331i | 0.182895i | ||||||||
\(640\) | −7.26447 | + | 13.6055i | −0.287153 | + | 0.537803i | ||||
\(641\) | 40.2935i | 1.59150i | 0.605628 | + | 0.795748i | \(0.292922\pi\) | ||||
−0.605628 | + | 0.795748i | \(0.707078\pi\) | |||||||
\(642\) | 3.62304 | + | 3.32988i | 0.142990 | + | 0.131420i | ||||
\(643\) | 0.501719i | 0.0197859i | 0.999951 | + | 0.00989294i | \(0.00314907\pi\) | ||||
−0.999951 | + | 0.00989294i | \(0.996851\pi\) | |||||||
\(644\) | −8.96871 | + | 0.757653i | −0.353417 | + | 0.0298557i | ||||
\(645\) | 5.21709i | 0.205423i | ||||||||
\(646\) | −15.6243 | − | 14.3600i | −0.614729 | − | 0.564988i | ||||
\(647\) | 33.5887 | 1.32051 | 0.660253 | − | 0.751043i | \(-0.270449\pi\) | ||||
0.660253 | + | 0.751043i | \(0.270449\pi\) | |||||||
\(648\) | −2.23620 | − | 1.73188i | −0.0878462 | − | 0.0680347i | ||||
\(649\) | − | 4.46515i | − | 0.175273i | ||||||
\(650\) | −8.24562 | − | 7.57843i | −0.323420 | − | 0.297250i | ||||
\(651\) | 12.7795 | 0.500870 | ||||||||
\(652\) | −37.9078 | + | 3.20235i | −1.48458 | + | 0.125414i | ||||
\(653\) | 16.6382i | 0.651104i | 0.945524 | + | 0.325552i | \(0.105550\pi\) | ||||
−0.945524 | + | 0.325552i | \(0.894450\pi\) | |||||||
\(654\) | −15.2856 | − | 14.0488i | −0.597715 | − | 0.549350i | ||||
\(655\) | 6.10222 | 0.238433 | ||||||||
\(656\) | −7.57113 | − | 44.4918i | −0.295603 | − | 1.73711i | ||||
\(657\) | −12.1580 | −0.474328 | ||||||||
\(658\) | −6.09390 | − | 5.60080i | −0.237565 | − | 0.218342i | ||||
\(659\) | − | 19.4030i | − | 0.755835i | −0.925839 | − | 0.377917i | \(-0.876640\pi\) | ||
0.925839 | − | 0.377917i | \(-0.123360\pi\) | |||||||
\(660\) | 1.43619 | − | 0.121325i | 0.0559035 | − | 0.00472258i | ||||
\(661\) | 12.7137i | 0.494505i | 0.968951 | + | 0.247252i | \(0.0795277\pi\) | ||||
−0.968951 | + | 0.247252i | \(0.920472\pi\) | |||||||
\(662\) | 33.1196 | − | 36.0354i | 1.28723 | − | 1.40056i | ||||
\(663\) | − | 15.0623i | − | 0.584971i | ||||||
\(664\) | 19.6521 | − | 25.3748i | 0.762651 | − | 0.984732i | ||||
\(665\) | 5.36249 | 0.207948 | ||||||||
\(666\) | −7.46669 | + | 8.12405i | −0.289328 | + | 0.314801i | ||||
\(667\) | 21.9881i | 0.851381i | ||||||||
\(668\) | 16.7021 | − | 1.41095i | 0.646223 | − | 0.0545912i | ||||
\(669\) | − | 20.0207i | − | 0.774045i | ||||||
\(670\) | −13.7216 | − | 7.79423i | −0.530111 | − | 0.301117i | ||||
\(671\) | − | 1.08092i | − | 0.0417284i | ||||||
\(672\) | −4.81668 | + | 7.43743i | −0.185807 | + | 0.286905i | ||||
\(673\) | 49.2662i | 1.89907i | 0.313660 | + | 0.949535i | \(0.398445\pi\) | ||||
−0.313660 | + | 0.949535i | \(0.601555\pi\) | |||||||
\(674\) | −15.4496 | − | 14.1995i | −0.595096 | − | 0.546943i | ||||
\(675\) | 3.14155 | 0.120918 | ||||||||
\(676\) | −1.11886 | − | 13.2445i | −0.0430331 | − | 0.509404i | ||||
\(677\) | − | 5.46737i | − | 0.210128i | −0.994465 | − | 0.105064i | \(-0.966495\pi\) | ||
0.994465 | − | 0.105064i | \(-0.0335048\pi\) | |||||||
\(678\) | 14.1021 | + | 12.9610i | 0.541587 | + | 0.497765i | ||||
\(679\) | 21.4712i | 0.823991i | ||||||||
\(680\) | 14.1077 | − | 18.2158i | 0.541004 | − | 0.698543i | ||||
\(681\) | 26.1910i | 1.00364i | ||||||||
\(682\) | 4.12732 | − | 4.49069i | 0.158043 | − | 0.171957i | ||||
\(683\) | 27.5247 | 1.05320 | 0.526601 | − | 0.850112i | \(-0.323466\pi\) | ||||
0.526601 | + | 0.850112i | \(0.323466\pi\) | |||||||
\(684\) | −5.00465 | + | 0.422780i | −0.191358 | + | 0.0161654i | ||||
\(685\) | −5.08141 | −0.194151 | ||||||||
\(686\) | −17.3083 | + | 18.8321i | −0.660835 | + | 0.719014i | ||||
\(687\) | − | 2.35904i | − | 0.0900029i | ||||||
\(688\) | −15.0909 | + | 2.56800i | −0.575334 | + | 0.0979041i | ||||
\(689\) | 28.3207 | 1.07893 | ||||||||
\(690\) | 3.74819 | − | 4.07818i | 0.142691 | − | 0.155254i | ||||
\(691\) | 42.9779i | 1.63496i | 0.575960 | + | 0.817478i | \(0.304628\pi\) | ||||
−0.575960 | + | 0.817478i | \(0.695372\pi\) | |||||||
\(692\) | 0.701846 | + | 8.30810i | 0.0266802 | + | 0.315826i | ||||
\(693\) | 0.828045 | 0.0314548 | ||||||||
\(694\) | −19.6235 | + | 21.3511i | −0.744896 | + | 0.810476i | ||||
\(695\) | 13.5153i | 0.512666i | ||||||||
\(696\) | 17.1142 | + | 13.2545i | 0.648712 | + | 0.502412i | ||||
\(697\) | 67.4188i | 2.55367i | ||||||||
\(698\) | −13.2455 | + | 14.4117i | −0.501351 | + | 0.545489i | ||||
\(699\) | 8.87262i | 0.335593i | ||||||||
\(700\) | −0.828464 | − | 9.80694i | −0.0313130 | − | 0.370668i | ||||
\(701\) | − | 21.8416i | − | 0.824947i | −0.910970 | − | 0.412473i | \(-0.864665\pi\) | ||
0.910970 | − | 0.412473i | \(-0.135335\pi\) | |||||||
\(702\) | −2.62470 | − | 2.41232i | −0.0990628 | − | 0.0910471i | ||||
\(703\) | 19.5934i | 0.738981i | ||||||||
\(704\) | 1.05788 | + | 4.09458i | 0.0398702 | + | 0.154320i | ||||
\(705\) | 5.09350 | 0.191832 | ||||||||
\(706\) | −35.9195 | − | 33.0130i | −1.35185 | − | 1.24246i | ||||
\(707\) | 1.17121i | 0.0440480i | ||||||||
\(708\) | −16.8334 | + | 1.42204i | −0.632638 | + | 0.0534436i | ||||
\(709\) | 25.6113 | 0.961854 | 0.480927 | − | 0.876761i | \(-0.340300\pi\) | ||||
0.480927 | + | 0.876761i | \(0.340300\pi\) | |||||||
\(710\) | −6.03162 | + | 6.56264i | −0.226363 | + | 0.246291i | ||||
\(711\) | −2.66595 | −0.0999808 | ||||||||
\(712\) | −6.62580 | − | 5.13152i | −0.248312 | − | 0.192312i | ||||
\(713\) | − | 23.4397i | − | 0.877825i | ||||||
\(714\) | 8.95717 | − | 9.74575i | 0.335214 | − | 0.364726i | ||||
\(715\) | 1.81658 | 0.0679362 | ||||||||
\(716\) | −2.73192 | − | 32.3391i | −0.102097 | − | 1.20857i | ||||
\(717\) | 1.14012 | 0.0425785 | ||||||||
\(718\) | −20.6571 | − | 18.9856i | −0.770917 | − | 0.708538i | ||||
\(719\) | 22.2369i | 0.829296i | 0.909982 | + | 0.414648i | \(0.136095\pi\) | ||||
−0.909982 | + | 0.414648i | \(0.863905\pi\) | |||||||
\(720\) | −0.914781 | − | 5.37572i | −0.0340919 | − | 0.200341i | ||||
\(721\) | − | 9.92846i | − | 0.369755i | ||||||
\(722\) | 12.1477 | − | 13.2171i | 0.452089 | − | 0.491891i | ||||
\(723\) | −5.93089 | −0.220572 | ||||||||
\(724\) | 0.999781 | + | 11.8349i | 0.0371566 | + | 0.439841i | ||||
\(725\) | −24.0431 | −0.892939 | ||||||||
\(726\) | −10.2594 | + | 11.1627i | −0.380763 | + | 0.414285i | ||||
\(727\) | −44.1322 | −1.63677 | −0.818387 | − | 0.574668i | \(-0.805131\pi\) | ||||
−0.818387 | + | 0.574668i | \(0.805131\pi\) | |||||||
\(728\) | −6.83833 | + | 8.82963i | −0.253446 | + | 0.327248i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | −17.2579 | − | 15.8614i | −0.638742 | − | 0.587058i | ||||
\(731\) | 22.8673 | 0.845778 | ||||||||
\(732\) | −4.07501 | + | 0.344246i | −0.150617 | + | 0.0127237i | ||||
\(733\) | 25.1028i | 0.927194i | 0.886046 | + | 0.463597i | \(0.153441\pi\) | ||||
−0.886046 | + | 0.463597i | \(0.846559\pi\) | |||||||
\(734\) | −29.1797 | + | 31.7487i | −1.07704 | + | 1.17186i | ||||
\(735\) | − | 6.19785i | − | 0.228611i | ||||||
\(736\) | 13.6414 | + | 8.83456i | 0.502830 | + | 0.325646i | ||||
\(737\) | −4.21631 | + | 0.972474i | −0.155310 | + | 0.0358216i | ||||
\(738\) | 11.7481 | + | 10.7975i | 0.432455 | + | 0.397463i | ||||
\(739\) | −26.6506 | −0.980358 | −0.490179 | − | 0.871622i | \(-0.663069\pi\) | ||||
−0.490179 | + | 0.871622i | \(0.663069\pi\) | |||||||
\(740\) | −21.1974 | + | 1.79070i | −0.779234 | + | 0.0658276i | ||||
\(741\) | −6.33020 | −0.232546 | ||||||||
\(742\) | 18.3244 | + | 16.8416i | 0.672709 | + | 0.618276i | ||||
\(743\) | 24.2167i | 0.888424i | 0.895922 | + | 0.444212i | \(0.146516\pi\) | ||||
−0.895922 | + | 0.444212i | \(0.853484\pi\) | |||||||
\(744\) | −18.2441 | − | 14.1296i | −0.668862 | − | 0.518017i | ||||
\(745\) | − | 5.34760i | − | 0.195921i | ||||||
\(746\) | 14.0252 | + | 12.8903i | 0.513499 | + | 0.471949i | ||||
\(747\) | 11.3473i | 0.415175i | ||||||||
\(748\) | −0.531788 | − | 6.29503i | −0.0194441 | − | 0.230169i | ||||
\(749\) | 5.45037i | 0.199152i | ||||||||
\(750\) | 11.5567 | + | 10.6216i | 0.421990 | + | 0.387844i | ||||
\(751\) | 51.6938i | 1.88633i | 0.332321 | + | 0.943166i | \(0.392168\pi\) | ||||
−0.332321 | + | 0.943166i | \(0.607832\pi\) | |||||||
\(752\) | 2.50717 | + | 14.7334i | 0.0914270 | + | 0.537272i | ||||
\(753\) | −10.4883 | −0.382215 | ||||||||
\(754\) | 20.0875 | + | 18.4621i | 0.731543 | + | 0.672349i | ||||
\(755\) | −31.6221 | −1.15085 | ||||||||
\(756\) | −0.263712 | − | 3.12169i | −0.00959110 | − | 0.113535i | ||||
\(757\) | − | 49.1422i | − | 1.78610i | −0.449953 | − | 0.893052i | \(-0.648559\pi\) | ||
0.449953 | − | 0.893052i | \(-0.351441\pi\) | |||||||
\(758\) | 0.670349 | − | 0.729366i | 0.0243482 | − | 0.0264918i | ||||
\(759\) | − | 1.51877i | − | 0.0551277i | ||||||
\(760\) | −7.65550 | − | 5.92900i | −0.277694 | − | 0.215067i | ||||
\(761\) | −42.2284 | −1.53078 | −0.765389 | − | 0.643567i | \(-0.777454\pi\) | ||||
−0.765389 | + | 0.643567i | \(0.777454\pi\) | |||||||
\(762\) | −12.3110 | − | 11.3148i | −0.445979 | − | 0.409893i | ||||
\(763\) | − | 22.9951i | − | 0.832480i | ||||||
\(764\) | 2.49821 | + | 29.5726i | 0.0903822 | + | 1.06990i | ||||
\(765\) | 8.14586i | 0.294514i | ||||||||
\(766\) | −19.9336 | + | 21.6885i | −0.720229 | + | 0.783638i | ||||
\(767\) | −21.2919 | −0.768807 | ||||||||
\(768\) | 15.0994 | − | 5.29216i | 0.544854 | − | 0.190964i | ||||
\(769\) | 25.7365i | 0.928081i | 0.885814 | + | 0.464040i | \(0.153601\pi\) | ||||
−0.885814 | + | 0.464040i | \(0.846399\pi\) | |||||||
\(770\) | 1.17538 | + | 1.08028i | 0.0423578 | + | 0.0389304i | ||||
\(771\) | 31.3242 | 1.12811 | ||||||||
\(772\) | −1.91545 | − | 22.6741i | −0.0689386 | − | 0.816060i | ||||
\(773\) | 21.8098 | 0.784443 | 0.392221 | − | 0.919871i | \(-0.371707\pi\) | ||||
0.392221 | + | 0.919871i | \(0.371707\pi\) | |||||||
\(774\) | 3.66234 | − | 3.98477i | 0.131640 | − | 0.143230i | ||||
\(775\) | 25.6305 | 0.920674 | ||||||||
\(776\) | 23.7395 | − | 30.6524i | 0.852200 | − | 1.10036i | ||||
\(777\) | −12.2215 | −0.438445 | ||||||||
\(778\) | −13.3946 | + | 14.5739i | −0.480221 | + | 0.522500i | ||||
\(779\) | 28.3340 | 1.01517 | ||||||||
\(780\) | −0.578535 | − | 6.84841i | −0.0207149 | − | 0.245212i | ||||
\(781\) | 2.44401i | 0.0874537i | ||||||||
\(782\) | −17.8753 | − | 16.4289i | −0.639219 | − | 0.587496i | ||||
\(783\) | −7.65326 | −0.273505 | ||||||||
\(784\) | 17.9278 | − | 3.05076i | 0.640279 | − | 0.108956i | ||||
\(785\) | − | 2.35589i | − | 0.0840852i | ||||||
\(786\) | −4.66083 | − | 4.28369i | −0.166246 | − | 0.152794i | ||||
\(787\) | −14.5403 | −0.518305 | −0.259153 | − | 0.965836i | \(-0.583443\pi\) | ||||
−0.259153 | + | 0.965836i | \(0.583443\pi\) | |||||||
\(788\) | −28.0773 | + | 2.37189i | −1.00021 | + | 0.0844952i | ||||
\(789\) | − | 6.28457i | − | 0.223737i | ||||||
\(790\) | −3.78422 | − | 3.47802i | −0.134637 | − | 0.123742i | ||||
\(791\) | 21.2147i | 0.754307i | ||||||||
\(792\) | −1.18212 | − | 0.915522i | −0.0420047 | − | 0.0325316i | ||||
\(793\) | −5.15432 | −0.183035 | ||||||||
\(794\) | −0.374552 | + | 0.407527i | −0.0132923 | + | 0.0144626i | ||||
\(795\) | −15.3162 | −0.543209 | ||||||||
\(796\) | 20.6218 | − | 1.74207i | 0.730920 | − | 0.0617462i | ||||
\(797\) | 22.2998 | 0.789899 | 0.394949 | − | 0.918703i | \(-0.370762\pi\) | ||||
0.394949 | + | 0.918703i | \(0.370762\pi\) | |||||||
\(798\) | −4.09583 | − | 3.76441i | −0.144991 | − | 0.133259i | ||||
\(799\) | − | 22.3256i | − | 0.789823i | ||||||
\(800\) | −9.66026 | + | 14.9164i | −0.341542 | + | 0.527374i | ||||
\(801\) | 2.96297 | 0.104692 | ||||||||
\(802\) | −14.3153 | − | 13.1570i | −0.505492 | − | 0.464590i | ||||
\(803\) | −6.42706 | −0.226806 | ||||||||
\(804\) | 5.00897 | + | 15.5856i | 0.176653 | + | 0.549661i | ||||
\(805\) | 6.13506 | 0.216233 | ||||||||
\(806\) | −21.4137 | − | 19.6810i | −0.754265 | − | 0.693233i | ||||
\(807\) | −15.0340 | −0.529221 | ||||||||
\(808\) | 1.29494 | − | 1.67203i | 0.0455559 | − | 0.0588217i | ||||
\(809\) | 23.3384i | 0.820536i | 0.911965 | + | 0.410268i | \(0.134565\pi\) | ||||
−0.911965 | + | 0.410268i | \(0.865435\pi\) | |||||||
\(810\) | 1.41947 | + | 1.30461i | 0.0498750 | + | 0.0458393i | ||||
\(811\) | 7.29983 | 0.256332 | 0.128166 | − | 0.991753i | \(-0.459091\pi\) | ||||
0.128166 | + | 0.991753i | \(0.459091\pi\) | |||||||
\(812\) | 2.01825 | + | 23.8911i | 0.0708268 | + | 0.838412i | ||||
\(813\) | −18.8437 | −0.660879 | ||||||||
\(814\) | −3.94711 | + | 4.29461i | −0.138346 | + | 0.150526i | ||||
\(815\) | 25.9309 | 0.908320 | ||||||||
\(816\) | −23.5626 | + | 4.00962i | −0.824856 | + | 0.140365i | ||||
\(817\) | − | 9.61040i | − | 0.336225i | ||||||
\(818\) | −20.3727 | − | 18.7243i | −0.712315 | − | 0.654678i | ||||
\(819\) | − | 3.94850i | − | 0.137972i | ||||||
\(820\) | 2.58952 | + | 30.6535i | 0.0904301 | + | 1.07047i | ||||
\(821\) | −35.0403 | −1.22292 | −0.611458 | − | 0.791277i | \(-0.709417\pi\) | ||||
−0.611458 | + | 0.791277i | \(0.709417\pi\) | |||||||
\(822\) | 3.88114 | + | 3.56709i | 0.135370 | + | 0.124417i | ||||
\(823\) | − | 10.4767i | − | 0.365195i | −0.983188 | − | 0.182597i | \(-0.941550\pi\) | ||
0.983188 | − | 0.182597i | \(-0.0584505\pi\) | |||||||
\(824\) | −10.9773 | + | 14.1739i | −0.382413 | + | 0.493771i | ||||
\(825\) | 1.66071 | 0.0578186 | ||||||||
\(826\) | −13.7765 | − | 12.6618i | −0.479346 | − | 0.440560i | ||||
\(827\) | − | 44.9087i | − | 1.56163i | −0.624764 | − | 0.780814i | \(-0.714805\pi\) | ||
0.624764 | − | 0.780814i | \(-0.285195\pi\) | |||||||
\(828\) | −5.72567 | + | 0.483690i | −0.198981 | + | 0.0168094i | ||||
\(829\) | 2.55939 | 0.0888911 | 0.0444456 | − | 0.999012i | \(-0.485848\pi\) | ||||
0.0444456 | + | 0.999012i | \(0.485848\pi\) | |||||||
\(830\) | −14.8038 | + | 16.1071i | −0.513846 | + | 0.559085i | ||||
\(831\) | 6.93613 | 0.240612 | ||||||||
\(832\) | 19.5248 | − | 5.04445i | 0.676902 | − | 0.174885i | ||||
\(833\) | −27.1661 | −0.941251 | ||||||||
\(834\) | 9.48763 | − | 10.3229i | 0.328530 | − | 0.357453i | ||||
\(835\) | −11.4251 | −0.395381 | ||||||||
\(836\) | −2.64560 | + | 0.223493i | −0.0915001 | + | 0.00772968i | ||||
\(837\) | 8.15854 | 0.282000 | ||||||||
\(838\) | −31.6103 | − | 29.0525i | −1.09196 | − | 1.00360i | ||||
\(839\) | 25.4580i | 0.878907i | 0.898265 | + | 0.439454i | \(0.144828\pi\) | ||||
−0.898265 | + | 0.439454i | \(0.855172\pi\) | |||||||
\(840\) | 3.69825 | − | 4.77517i | 0.127602 | − | 0.164759i | ||||
\(841\) | 29.5723 | 1.01973 | ||||||||
\(842\) | −7.74336 | + | 8.42508i | −0.266854 | + | 0.290347i | ||||
\(843\) | 14.3372i | 0.493799i | ||||||||
\(844\) | −23.8235 | + | 2.01255i | −0.820039 | + | 0.0692747i | ||||
\(845\) | 9.05994i | 0.311671i | ||||||||
\(846\) | −3.89038 | − | 3.57559i | −0.133754 | − | 0.122931i | ||||
\(847\) | −16.7927 | −0.577004 | ||||||||
\(848\) | −7.53907 | − | 44.3034i | −0.258893 | − | 1.52138i | ||||
\(849\) | − | 15.1828i | − | 0.521072i | ||||||
\(850\) | 17.9644 | − | 19.5459i | 0.616173 | − | 0.670420i | ||||
\(851\) | 22.4163i | 0.768420i | ||||||||
\(852\) | 9.21381 | − | 0.778358i | 0.315660 | − | 0.0266661i | ||||
\(853\) | 10.3963 | 0.355963 | 0.177981 | − | 0.984034i | \(-0.443043\pi\) | ||||
0.177981 | + | 0.984034i | \(0.443043\pi\) | |||||||
\(854\) | −3.33500 | − | 3.06515i | −0.114121 | − | 0.104887i | ||||
\(855\) | 3.42344 | 0.117079 | ||||||||
\(856\) | 6.02616 | − | 7.78095i | 0.205970 | − | 0.265948i | ||||
\(857\) | − | 11.9104i | − | 0.406852i | −0.979090 | − | 0.203426i | \(-0.934792\pi\) | ||
0.979090 | − | 0.203426i | \(-0.0652077\pi\) | |||||||
\(858\) | −1.38749 | − | 1.27522i | −0.0473681 | − | 0.0435353i | ||||
\(859\) | − | 11.2164i | − | 0.382700i | −0.981522 | − | 0.191350i | \(-0.938713\pi\) | ||
0.981522 | − | 0.191350i | \(-0.0612865\pi\) | |||||||
\(860\) | 10.3971 | − | 0.878323i | 0.354540 | − | 0.0299506i | ||||
\(861\) | 17.6735i | 0.602311i | ||||||||
\(862\) | −22.2041 | − | 20.4074i | −0.756275 | − | 0.695080i | ||||
\(863\) | − | 47.9119i | − | 1.63094i | −0.578799 | − | 0.815470i | \(-0.696478\pi\) | ||
0.578799 | − | 0.815470i | \(-0.303522\pi\) | |||||||
\(864\) | −3.07499 | + | 4.74810i | −0.104613 | + | 0.161533i | ||||
\(865\) | − | 5.68317i | − | 0.193234i | ||||||
\(866\) | −10.7357 | − | 9.86706i | −0.364816 | − | 0.335296i | ||||
\(867\) | 18.7046 | 0.635240 | ||||||||
\(868\) | −2.15150 | − | 25.4684i | −0.0730267 | − | 0.864453i | ||||
\(869\) | −1.40929 | −0.0478070 | ||||||||
\(870\) | −10.8635 | − | 9.98451i | −0.368309 | − | 0.338507i | ||||
\(871\) | 4.63721 | + | 20.1053i | 0.157126 | + | 0.681243i | ||||
\(872\) | −25.4244 | + | 32.8279i | −0.860979 | + | 1.11169i | ||||
\(873\) | 13.7074i | 0.463924i | ||||||||
\(874\) | −6.90454 | + | 7.51241i | −0.233549 | + | 0.254111i | ||||
\(875\) | 17.3854i | 0.587735i | ||||||||
\(876\) | 2.04686 | + | 24.2297i | 0.0691570 | + | 0.818645i | ||||
\(877\) | −27.5238 | −0.929412 | −0.464706 | − | 0.885465i | \(-0.653840\pi\) | ||||
−0.464706 | + | 0.885465i | \(0.653840\pi\) | |||||||
\(878\) | −37.2712 | − | 34.2554i | −1.25784 | − | 1.15606i | ||||
\(879\) | 18.5571 | 0.625917 | ||||||||
\(880\) | −0.483579 | − | 2.84176i | −0.0163014 | − | 0.0957956i | ||||
\(881\) | 28.1568 | 0.948626 | 0.474313 | − | 0.880356i | \(-0.342697\pi\) | ||||
0.474313 | + | 0.880356i | \(0.342697\pi\) | |||||||
\(882\) | −4.35083 | + | 4.73387i | −0.146500 | + | 0.159398i | ||||
\(883\) | 22.4001 | 0.753822 | 0.376911 | − | 0.926249i | \(-0.376986\pi\) | ||||
0.376911 | + | 0.926249i | \(0.376986\pi\) | |||||||
\(884\) | −30.0176 | + | 2.53581i | −1.00960 | + | 0.0852885i | ||||
\(885\) | 11.5149 | 0.387070 | ||||||||
\(886\) | 8.93650 | − | 9.72326i | 0.300228 | − | 0.326659i | ||||
\(887\) | − | 34.0814i | − | 1.14434i | −0.820134 | − | 0.572171i | \(-0.806101\pi\) | ||
0.820134 | − | 0.572171i | \(-0.193899\pi\) | |||||||
\(888\) | 17.4475 | + | 13.5127i | 0.585500 | + | 0.453455i | ||||
\(889\) | − | 18.5202i | − | 0.621147i | ||||||
\(890\) | 4.20584 | + | 3.86553i | 0.140980 | + | 0.129573i | ||||
\(891\) | 0.528628 | 0.0177097 | ||||||||
\(892\) | −39.8993 | + | 3.37059i | −1.33593 | + | 0.112856i | ||||
\(893\) | −9.38274 | −0.313981 | ||||||||
\(894\) | −3.75396 | + | 4.08445i | −0.125551 | + | 0.136605i | ||||
\(895\) | 22.1216i | 0.739444i | ||||||||
\(896\) | 15.6330 | + | 8.34704i | 0.522261 | + | 0.278855i | ||||
\(897\) | −7.24219 | −0.241810 | ||||||||
\(898\) | −6.06406 | + | 6.59793i | −0.202360 | + | 0.220176i | ||||
\(899\) | −62.4394 | −2.08247 | ||||||||
\(900\) | −0.528896 | − | 6.26081i | −0.0176299 | − | 0.208694i | ||||
\(901\) | 67.1332i | 2.23653i | ||||||||
\(902\) | 6.21040 | + | 5.70788i | 0.206784 | + | 0.190052i | ||||
\(903\) | 5.99455 | 0.199486 | ||||||||
\(904\) | 23.4559 | − | 30.2861i | 0.780130 | − | 1.00730i | ||||
\(905\) | − | 8.09569i | − | 0.269110i | ||||||
\(906\) | 24.1527 | + | 22.1984i | 0.802420 | + | 0.737491i | ||||
\(907\) | 35.6830i | 1.18483i | 0.805632 | + | 0.592417i | \(0.201826\pi\) | ||||
−0.805632 | + | 0.592417i | \(0.798174\pi\) | |||||||
\(908\) | 52.1961 | − | 4.40939i | 1.73219 | − | 0.146331i | ||||
\(909\) | 0.747709i | 0.0247999i | ||||||||
\(910\) | 5.15125 | − | 5.60476i | 0.170762 | − | 0.185796i | ||||
\(911\) | 22.3930i | 0.741914i | 0.928650 | + | 0.370957i | \(0.120970\pi\) | ||||
−0.928650 | + | 0.370957i | \(0.879030\pi\) | |||||||
\(912\) | 1.68512 | + | 9.90261i | 0.0557998 | + | 0.327908i | ||||
\(913\) | 5.99849i | 0.198521i | ||||||||
\(914\) | 2.02077 | − | 2.19868i | 0.0668412 | − | 0.0727259i | ||||
\(915\) | 2.78752 | 0.0921525 | ||||||||
\(916\) | −4.70133 | + | 0.397156i | −0.155336 | + | 0.0131224i | ||||
\(917\) | − | 7.01158i | − | 0.231543i | ||||||
\(918\) | 5.71831 | − | 6.22174i | 0.188732 | − | 0.205348i | ||||
\(919\) | −14.9161 | −0.492036 | −0.246018 | − | 0.969265i | \(-0.579122\pi\) | ||||
−0.246018 | + | 0.969265i | \(0.579122\pi\) | |||||||
\(920\) | −8.75843 | − | 6.78319i | −0.288757 | − | 0.223635i | ||||
\(921\) | 9.16937i | 0.302141i | ||||||||
\(922\) | 15.7616 | − | 17.1493i | 0.519081 | − | 0.564781i | ||||
\(923\) | 11.6542 | 0.383602 | ||||||||
\(924\) | −0.139405 | − | 1.65021i | −0.00458610 | − | 0.0542880i | ||||
\(925\) | −24.5113 | −0.805928 | ||||||||
\(926\) | 3.28300 | − | 3.57203i | 0.107886 | − | 0.117384i | ||||
\(927\) | − | 6.33839i | − | 0.208180i | ||||||
\(928\) | 23.5337 | − | 36.3384i | 0.772532 | − | 1.19287i | ||||
\(929\) | 55.4132i | 1.81805i | 0.416745 | + | 0.909023i | \(0.363171\pi\) | ||||
−0.416745 | + | 0.909023i | \(0.636829\pi\) | |||||||
\(930\) | 11.5808 | + | 10.6437i | 0.379748 | + | 0.349021i | ||||
\(931\) | 11.4171i | 0.374179i | ||||||||
\(932\) | 17.6823 | − | 1.49375i | 0.579201 | − | 0.0489294i | ||||
\(933\) | 0.305968 | 0.0100169 | ||||||||
\(934\) | −3.84320 | − | 3.53222i | −0.125753 | − | 0.115578i | ||||
\(935\) | 4.30613i | 0.140826i | ||||||||
\(936\) | −4.36563 | + | 5.63689i | −0.142695 | + | 0.184247i | ||||
\(937\) | − | 32.0855i | − | 1.04819i | −0.851661 | − | 0.524094i | \(-0.824404\pi\) | ||
0.851661 | − | 0.524094i | \(-0.175596\pi\) | |||||||
\(938\) | −8.95574 | + | 15.7664i | −0.292415 | + | 0.514791i | ||||
\(939\) | 4.08597i | 0.133340i | ||||||||
\(940\) | −0.857517 | − | 10.1508i | −0.0279691 | − | 0.331084i | ||||
\(941\) | 50.7319i | 1.65381i | 0.562339 | + | 0.826906i | \(0.309901\pi\) | ||||
−0.562339 | + | 0.826906i | \(0.690099\pi\) | |||||||
\(942\) | −1.65381 | + | 1.79941i | −0.0538840 | + | 0.0586279i | ||||
\(943\) | 32.4160 | 1.05561 | ||||||||
\(944\) | 5.66797 | + | 33.3079i | 0.184477 | + | 1.08408i | ||||
\(945\) | 2.13540i | 0.0694644i | ||||||||
\(946\) | 1.93602 | − | 2.10646i | 0.0629453 | − | 0.0684870i | ||||
\(947\) | − | 21.3349i | − | 0.693290i | −0.937996 | − | 0.346645i | \(-0.887321\pi\) | ||
0.937996 | − | 0.346645i | \(-0.112679\pi\) | |||||||
\(948\) | 0.448825 | + | 5.31297i | 0.0145772 | + | 0.172557i | ||||
\(949\) | 30.6472i | 0.994850i | ||||||||
\(950\) | −8.21453 | − | 7.54985i | −0.266515 | − | 0.244950i | ||||
\(951\) | −12.1082 | −0.392635 | ||||||||
\(952\) | −20.9303 | − | 16.2100i | −0.678355 | − | 0.525369i | ||||
\(953\) | −51.1663 | −1.65744 | −0.828720 | − | 0.559663i | \(-0.810931\pi\) | ||||
−0.828720 | + | 0.559663i | \(0.810931\pi\) | |||||||
\(954\) | 11.6984 | + | 10.7518i | 0.378749 | + | 0.348102i | ||||
\(955\) | − | 20.2292i | − | 0.654601i | ||||||
\(956\) | −0.191944 | − | 2.27214i | −0.00620793 | − | 0.0734863i | ||||
\(957\) | −4.04573 | −0.130780 | ||||||||
\(958\) | 22.7951 | + | 20.9506i | 0.736476 | + | 0.676884i | ||||
\(959\) | 5.83865i | 0.188540i | ||||||||
\(960\) | −10.5593 | + | 2.72810i | −0.340799 | + | 0.0880489i | ||||
\(961\) | 35.5617 | 1.14715 | ||||||||
\(962\) | 20.4787 | + | 18.8216i | 0.660259 | + | 0.606834i | ||||
\(963\) | 3.47954i | 0.112127i | ||||||||
\(964\) | 0.998496 | + | 11.8197i | 0.0321594 | + | 0.380687i | ||||
\(965\) | 15.5103i | 0.499294i | ||||||||
\(966\) | −4.68591 | − | 4.30675i | −0.150767 | − | 0.138567i | ||||
\(967\) | 24.7300i | 0.795264i | 0.917545 | + | 0.397632i | \(0.130168\pi\) | ||||
−0.917545 | + | 0.397632i | \(0.869832\pi\) | |||||||
\(968\) | 23.9733 | + | 18.5667i | 0.770531 | + | 0.596757i | ||||
\(969\) | − | 15.0055i | − | 0.482046i | ||||||
\(970\) | −17.8828 | + | 19.4572i | −0.574181 | + | 0.624731i | ||||
\(971\) | − | 21.2460i | − | 0.681817i | −0.940096 | − | 0.340908i | \(-0.889265\pi\) | ||
0.940096 | − | 0.340908i | \(-0.110735\pi\) | |||||||
\(972\) | −0.168355 | − | 1.99290i | −0.00539999 | − | 0.0639223i | ||||
\(973\) | 15.5294 | 0.497850 | ||||||||
\(974\) | 11.2244 | − | 12.2126i | 0.359653 | − | 0.391317i | ||||
\(975\) | − | 7.91906i | − | 0.253613i | ||||||
\(976\) | 1.37210 | + | 8.06314i | 0.0439197 | + | 0.258095i | ||||
\(977\) | 12.6253 | 0.403919 | 0.201959 | − | 0.979394i | \(-0.435269\pi\) | ||||
0.201959 | + | 0.979394i | \(0.435269\pi\) | |||||||
\(978\) | −19.8058 | − | 18.2032i | −0.633320 | − | 0.582075i | ||||
\(979\) | 1.56631 | 0.0500596 | ||||||||
\(980\) | −12.3517 | + | 1.04344i | −0.394561 | + | 0.0333314i | ||||
\(981\) | − | 14.6802i | − | 0.468703i | ||||||
\(982\) | −9.22232 | − | 8.47610i | −0.294296 | − | 0.270483i | ||||
\(983\) | 12.3440 | 0.393713 | 0.196856 | − | 0.980432i | \(-0.436927\pi\) | ||||
0.196856 | + | 0.980432i | \(0.436927\pi\) | |||||||
\(984\) | 19.5406 | − | 25.2307i | 0.622930 | − | 0.804326i | ||||
\(985\) | 19.2063 | 0.611964 | ||||||||
\(986\) | −43.7637 | + | 47.6166i | −1.39372 | + | 1.51642i | ||||
\(987\) | − | 5.85255i | − | 0.186289i | ||||||
\(988\) | 1.06572 | + | 12.6155i | 0.0339051 | + | 0.401351i | ||||
\(989\) | − | 10.9950i | − | 0.349620i | ||||||
\(990\) | 0.750370 | + | 0.689654i | 0.0238483 | + | 0.0219186i | ||||
\(991\) | 22.9311 | 0.728431 | 0.364215 | − | 0.931315i | \(-0.381337\pi\) | ||||
0.364215 | + | 0.931315i | \(0.381337\pi\) | |||||||
\(992\) | −25.0874 | + | 38.7375i | −0.796527 | + | 1.22992i | ||||
\(993\) | 34.6082 | 1.09826 | ||||||||
\(994\) | 7.54061 | + | 6.93046i | 0.239174 | + | 0.219821i | ||||
\(995\) | −14.1064 | −0.447202 | ||||||||
\(996\) | 22.6140 | − | 1.91037i | 0.716552 | − | 0.0605324i | ||||
\(997\) | 47.2660 | 1.49693 | 0.748464 | − | 0.663175i | \(-0.230791\pi\) | ||||
0.748464 | + | 0.663175i | \(0.230791\pi\) | |||||||
\(998\) | 20.8550 | − | 22.6911i | 0.660154 | − | 0.718273i | ||||
\(999\) | −7.80230 | −0.246854 |
(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 | 804.2.e.b.535.27 | yes | 34 | |
4.3 | odd | 2 | 804.2.e.a.535.7 | ✓ | 34 | ||
67.66 | odd | 2 | 804.2.e.a.535.8 | yes | 34 | ||
268.267 | even | 2 | inner | 804.2.e.b.535.28 | yes | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.e.a.535.7 | ✓ | 34 | 4.3 | odd | 2 | ||
804.2.e.a.535.8 | yes | 34 | 67.66 | odd | 2 | ||
804.2.e.b.535.27 | yes | 34 | 1.1 | even | 1 | trivial | |
804.2.e.b.535.28 | yes | 34 | 268.267 | even | 2 | inner |