Properties

Label 403.2.v.a.36.15
Level 403
Weight 2
Character 403.36
Analytic conductor 3.218
Analytic rank 0
Dimension 70
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 403 = 13 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 403.v (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(70\)
Relative dimension: \(35\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 36.15
Character \(\chi\) \(=\) 403.36
Dual form 403.2.v.a.56.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.700842 + 0.404632i) q^{2} +1.07124 q^{3} +(-0.672547 + 1.16488i) q^{4} +(-3.37908 + 1.95091i) q^{5} +(-0.750767 + 0.433456i) q^{6} +(2.06539 - 1.19246i) q^{7} -2.70706i q^{8} -1.85245 q^{9} +O(q^{10})\) \(q+(-0.700842 + 0.404632i) q^{2} +1.07124 q^{3} +(-0.672547 + 1.16488i) q^{4} +(-3.37908 + 1.95091i) q^{5} +(-0.750767 + 0.433456i) q^{6} +(2.06539 - 1.19246i) q^{7} -2.70706i q^{8} -1.85245 q^{9} +(1.57880 - 2.73456i) q^{10} +(0.548190 + 0.316498i) q^{11} +(-0.720456 + 1.24787i) q^{12} +(-2.35258 + 2.73228i) q^{13} +(-0.965010 + 1.67145i) q^{14} +(-3.61979 + 2.08989i) q^{15} +(-0.249731 - 0.432547i) q^{16} +(-1.34141 - 2.32339i) q^{17} +(1.29828 - 0.749561i) q^{18} +(-3.14186 + 1.81395i) q^{19} -5.24831i q^{20} +(2.21252 - 1.27740i) q^{21} -0.512260 q^{22} +(-2.45825 - 4.25782i) q^{23} -2.89990i q^{24} +(5.11211 - 8.85443i) q^{25} +(0.543217 - 2.86683i) q^{26} -5.19812 q^{27} +3.20793i q^{28} +(-3.82172 - 6.61941i) q^{29} +(1.69127 - 2.92936i) q^{30} +(-0.0308301 + 5.56768i) q^{31} +(5.03881 + 2.90916i) q^{32} +(0.587241 + 0.339044i) q^{33} +(1.88023 + 1.08555i) q^{34} +(-4.65275 + 8.05880i) q^{35} +(1.24586 - 2.15790i) q^{36} +6.64926i q^{37} +(1.46797 - 2.54259i) q^{38} +(-2.52016 + 2.92692i) q^{39} +(5.28123 + 9.14737i) q^{40} +(-5.47362 - 3.16019i) q^{41} +(-1.03375 + 1.79051i) q^{42} +(1.47396 + 2.55297i) q^{43} +(-0.737367 + 0.425719i) q^{44} +(6.25958 - 3.61397i) q^{45} +(3.44570 + 1.98937i) q^{46} +2.05460i q^{47} +(-0.267521 - 0.463360i) q^{48} +(-0.656100 + 1.13640i) q^{49} +8.27408i q^{50} +(-1.43696 - 2.48889i) q^{51} +(-1.60058 - 4.57807i) q^{52} +(3.64966 + 6.32139i) q^{53} +(3.64306 - 2.10332i) q^{54} -2.46983 q^{55} +(-3.22805 - 5.59114i) q^{56} +(-3.36567 + 1.94317i) q^{57} +(5.35684 + 3.09277i) q^{58} +(-7.44778 + 4.29998i) q^{59} -5.62218i q^{60} +(2.21243 - 3.83203i) q^{61} +(-2.23125 - 3.91454i) q^{62} +(-3.82605 + 2.20897i) q^{63} -3.70963 q^{64} +(2.61910 - 13.8223i) q^{65} -0.548751 q^{66} +(10.3671 + 5.98548i) q^{67} +3.60864 q^{68} +(-2.63337 - 4.56113i) q^{69} -7.53060i q^{70} +8.91533i q^{71} +5.01471i q^{72} +(5.01526 - 2.89556i) q^{73} +(-2.69050 - 4.66008i) q^{74} +(5.47627 - 9.48518i) q^{75} -4.87988i q^{76} +1.50964 q^{77} +(0.581914 - 3.07105i) q^{78} +(-2.16192 + 3.74455i) q^{79} +(1.68772 + 0.974406i) q^{80} -0.0110515 q^{81} +5.11486 q^{82} +(-9.99838 + 5.77257i) q^{83} +3.43645i q^{84} +(9.06544 + 5.23393i) q^{85} +(-2.06603 - 1.19282i) q^{86} +(-4.09396 - 7.09095i) q^{87} +(0.856778 - 1.48398i) q^{88} +(-2.10210 + 1.21365i) q^{89} +(-2.92465 + 5.06565i) q^{90} +(-1.60087 + 8.44859i) q^{91} +6.61316 q^{92} +(-0.0330263 + 5.96430i) q^{93} +(-0.831358 - 1.43995i) q^{94} +(7.07773 - 12.2590i) q^{95} +(5.39775 + 3.11639i) q^{96} +(-14.2577 - 8.23169i) q^{97} -1.06192i q^{98} +(-1.01550 - 0.586297i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 70q - 6q^{2} + 4q^{3} + 30q^{4} + 6q^{6} - 12q^{7} + 58q^{9} + O(q^{10}) \) \( 70q - 6q^{2} + 4q^{3} + 30q^{4} + 6q^{6} - 12q^{7} + 58q^{9} - q^{10} - 6q^{11} + 13q^{12} - 14q^{13} - 14q^{14} - 15q^{15} - 28q^{16} + 6q^{17} + 12q^{19} + 9q^{21} - 8q^{22} + 10q^{23} + 19q^{25} + 34q^{27} - 18q^{29} - 31q^{30} + 2q^{31} + 36q^{32} - 12q^{33} - 9q^{34} - 12q^{35} + 8q^{36} - 21q^{38} - 30q^{39} + 5q^{40} + 18q^{41} - 49q^{42} + 19q^{43} - 42q^{44} - 63q^{45} - 6q^{46} - 27q^{48} + 9q^{49} - 7q^{51} - 43q^{52} - 22q^{53} + 18q^{54} + 30q^{55} + 25q^{56} - 15q^{57} - 12q^{58} + 33q^{59} - 13q^{61} - 17q^{62} - 6q^{63} - 38q^{64} + 9q^{65} - 52q^{66} + 30q^{67} + 88q^{68} - 16q^{69} + 9q^{73} - 19q^{74} + 25q^{75} + 34q^{77} + 14q^{78} + 6q^{79} + 6q^{80} + 22q^{81} - 78q^{82} + 54q^{83} - 33q^{85} + 24q^{86} - 14q^{87} + 16q^{88} - 6q^{89} - 11q^{90} - 70q^{91} - 6q^{92} + 7q^{93} - 43q^{94} + 25q^{95} - 36q^{96} - 75q^{97} - 93q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.700842 + 0.404632i −0.495570 + 0.286118i −0.726882 0.686762i \(-0.759032\pi\)
0.231312 + 0.972880i \(0.425698\pi\)
\(3\) 1.07124 0.618478 0.309239 0.950984i \(-0.399926\pi\)
0.309239 + 0.950984i \(0.399926\pi\)
\(4\) −0.672547 + 1.16488i −0.336273 + 0.582442i
\(5\) −3.37908 + 1.95091i −1.51117 + 0.872474i −0.511254 + 0.859430i \(0.670819\pi\)
−0.999915 + 0.0130443i \(0.995848\pi\)
\(6\) −0.750767 + 0.433456i −0.306500 + 0.176958i
\(7\) 2.06539 1.19246i 0.780645 0.450706i −0.0560136 0.998430i \(-0.517839\pi\)
0.836659 + 0.547724i \(0.184506\pi\)
\(8\) 2.70706i 0.957090i
\(9\) −1.85245 −0.617485
\(10\) 1.57880 2.73456i 0.499260 0.864744i
\(11\) 0.548190 + 0.316498i 0.165285 + 0.0954276i 0.580361 0.814359i \(-0.302911\pi\)
−0.415075 + 0.909787i \(0.636245\pi\)
\(12\) −0.720456 + 1.24787i −0.207978 + 0.360228i
\(13\) −2.35258 + 2.73228i −0.652488 + 0.757799i
\(14\) −0.965010 + 1.67145i −0.257910 + 0.446713i
\(15\) −3.61979 + 2.08989i −0.934625 + 0.539606i
\(16\) −0.249731 0.432547i −0.0624328 0.108137i
\(17\) −1.34141 2.32339i −0.325339 0.563504i 0.656242 0.754551i \(-0.272145\pi\)
−0.981581 + 0.191047i \(0.938812\pi\)
\(18\) 1.29828 0.749561i 0.306007 0.176673i
\(19\) −3.14186 + 1.81395i −0.720792 + 0.416150i −0.815044 0.579399i \(-0.803287\pi\)
0.0942519 + 0.995548i \(0.469954\pi\)
\(20\) 5.24831i 1.17356i
\(21\) 2.21252 1.27740i 0.482812 0.278752i
\(22\) −0.512260 −0.109214
\(23\) −2.45825 4.25782i −0.512581 0.887817i −0.999894 0.0145892i \(-0.995356\pi\)
0.487312 0.873228i \(-0.337977\pi\)
\(24\) 2.89990i 0.591940i
\(25\) 5.11211 8.85443i 1.02242 1.77089i
\(26\) 0.543217 2.86683i 0.106534 0.562231i
\(27\) −5.19812 −1.00038
\(28\) 3.20793i 0.606241i
\(29\) −3.82172 6.61941i −0.709675 1.22919i −0.964978 0.262332i \(-0.915508\pi\)
0.255303 0.966861i \(-0.417825\pi\)
\(30\) 1.69127 2.92936i 0.308782 0.534826i
\(31\) −0.0308301 + 5.56768i −0.00553725 + 0.999985i
\(32\) 5.03881 + 2.90916i 0.890744 + 0.514271i
\(33\) 0.587241 + 0.339044i 0.102225 + 0.0590199i
\(34\) 1.88023 + 1.08555i 0.322457 + 0.186171i
\(35\) −4.65275 + 8.05880i −0.786458 + 1.36219i
\(36\) 1.24586 2.15790i 0.207644 0.359649i
\(37\) 6.64926i 1.09313i 0.837416 + 0.546566i \(0.184065\pi\)
−0.837416 + 0.546566i \(0.815935\pi\)
\(38\) 1.46797 2.54259i 0.238136 0.412463i
\(39\) −2.52016 + 2.92692i −0.403549 + 0.468682i
\(40\) 5.28123 + 9.14737i 0.835036 + 1.44633i
\(41\) −5.47362 3.16019i −0.854835 0.493539i 0.00744400 0.999972i \(-0.497630\pi\)
−0.862279 + 0.506433i \(0.830964\pi\)
\(42\) −1.03375 + 1.79051i −0.159512 + 0.276282i
\(43\) 1.47396 + 2.55297i 0.224777 + 0.389325i 0.956252 0.292543i \(-0.0945014\pi\)
−0.731476 + 0.681868i \(0.761168\pi\)
\(44\) −0.737367 + 0.425719i −0.111162 + 0.0641795i
\(45\) 6.25958 3.61397i 0.933124 0.538739i
\(46\) 3.44570 + 1.98937i 0.508040 + 0.293317i
\(47\) 2.05460i 0.299695i 0.988709 + 0.149847i \(0.0478782\pi\)
−0.988709 + 0.149847i \(0.952122\pi\)
\(48\) −0.267521 0.463360i −0.0386133 0.0668802i
\(49\) −0.656100 + 1.13640i −0.0937286 + 0.162343i
\(50\) 8.27408i 1.17013i
\(51\) −1.43696 2.48889i −0.201215 0.348515i
\(52\) −1.60058 4.57807i −0.221960 0.634864i
\(53\) 3.64966 + 6.32139i 0.501319 + 0.868309i 0.999999 + 0.00152336i \(0.000484900\pi\)
−0.498680 + 0.866786i \(0.666182\pi\)
\(54\) 3.64306 2.10332i 0.495758 0.286226i
\(55\) −2.46983 −0.333032
\(56\) −3.22805 5.59114i −0.431366 0.747148i
\(57\) −3.36567 + 1.94317i −0.445794 + 0.257379i
\(58\) 5.35684 + 3.09277i 0.703388 + 0.406101i
\(59\) −7.44778 + 4.29998i −0.969618 + 0.559809i −0.899120 0.437703i \(-0.855792\pi\)
−0.0704982 + 0.997512i \(0.522459\pi\)
\(60\) 5.62218i 0.725820i
\(61\) 2.21243 3.83203i 0.283272 0.490642i −0.688917 0.724841i \(-0.741913\pi\)
0.972189 + 0.234199i \(0.0752467\pi\)
\(62\) −2.23125 3.91454i −0.283369 0.497147i
\(63\) −3.82605 + 2.20897i −0.482037 + 0.278304i
\(64\) −3.70963 −0.463703
\(65\) 2.61910 13.8223i 0.324859 1.71444i
\(66\) −0.548751 −0.0675466
\(67\) 10.3671 + 5.98548i 1.26655 + 0.731242i 0.974333 0.225110i \(-0.0722742\pi\)
0.292216 + 0.956352i \(0.405608\pi\)
\(68\) 3.60864 0.437611
\(69\) −2.63337 4.56113i −0.317020 0.549096i
\(70\) 7.53060i 0.900078i
\(71\) 8.91533i 1.05806i 0.848605 + 0.529028i \(0.177443\pi\)
−0.848605 + 0.529028i \(0.822557\pi\)
\(72\) 5.01471i 0.590989i
\(73\) 5.01526 2.89556i 0.586992 0.338900i −0.176915 0.984226i \(-0.556612\pi\)
0.763907 + 0.645326i \(0.223279\pi\)
\(74\) −2.69050 4.66008i −0.312764 0.541724i
\(75\) 5.47627 9.48518i 0.632345 1.09525i
\(76\) 4.87988i 0.559760i
\(77\) 1.50964 0.172039
\(78\) 0.581914 3.07105i 0.0658888 0.347728i
\(79\) −2.16192 + 3.74455i −0.243235 + 0.421295i −0.961634 0.274336i \(-0.911542\pi\)
0.718399 + 0.695631i \(0.244875\pi\)
\(80\) 1.68772 + 0.974406i 0.188693 + 0.108942i
\(81\) −0.0110515 −0.00122794
\(82\) 5.11486 0.564842
\(83\) −9.99838 + 5.77257i −1.09746 + 0.633622i −0.935554 0.353184i \(-0.885099\pi\)
−0.161911 + 0.986805i \(0.551766\pi\)
\(84\) 3.43645i 0.374947i
\(85\) 9.06544 + 5.23393i 0.983285 + 0.567700i
\(86\) −2.06603 1.19282i −0.222785 0.128625i
\(87\) −4.09396 7.09095i −0.438919 0.760229i
\(88\) 0.856778 1.48398i 0.0913329 0.158193i
\(89\) −2.10210 + 1.21365i −0.222822 + 0.128647i −0.607256 0.794506i \(-0.707730\pi\)
0.384434 + 0.923152i \(0.374397\pi\)
\(90\) −2.92465 + 5.06565i −0.308286 + 0.533966i
\(91\) −1.60087 + 8.44859i −0.167817 + 0.885652i
\(92\) 6.61316 0.689470
\(93\) −0.0330263 + 5.96430i −0.00342467 + 0.618469i
\(94\) −0.831358 1.43995i −0.0857480 0.148520i
\(95\) 7.07773 12.2590i 0.726159 1.25774i
\(96\) 5.39775 + 3.11639i 0.550906 + 0.318066i
\(97\) −14.2577 8.23169i −1.44765 0.835801i −0.449309 0.893376i \(-0.648330\pi\)
−0.998341 + 0.0575753i \(0.981663\pi\)
\(98\) 1.06192i 0.107270i
\(99\) −1.01550 0.586297i −0.102061 0.0589251i
\(100\) 6.87626 + 11.9100i 0.687626 + 1.19100i
\(101\) 8.63685 + 14.9595i 0.859398 + 1.48852i 0.872504 + 0.488607i \(0.162495\pi\)
−0.0131055 + 0.999914i \(0.504172\pi\)
\(102\) 2.01417 + 1.16288i 0.199433 + 0.115142i
\(103\) 0.511442 + 0.885844i 0.0503939 + 0.0872848i 0.890122 0.455722i \(-0.150619\pi\)
−0.839728 + 0.543007i \(0.817286\pi\)
\(104\) 7.39646 + 6.36857i 0.725283 + 0.624490i
\(105\) −4.98419 + 8.63287i −0.486407 + 0.842482i
\(106\) −5.11567 2.95353i −0.496877 0.286872i
\(107\) 2.72359 0.263299 0.131650 0.991296i \(-0.457973\pi\)
0.131650 + 0.991296i \(0.457973\pi\)
\(108\) 3.49598 6.05521i 0.336401 0.582663i
\(109\) 1.01015i 0.0967544i 0.998829 + 0.0483772i \(0.0154049\pi\)
−0.998829 + 0.0483772i \(0.984595\pi\)
\(110\) 1.73096 0.999373i 0.165041 0.0952865i
\(111\) 7.12292i 0.676078i
\(112\) −1.03159 0.595586i −0.0974757 0.0562776i
\(113\) −0.164971 −0.0155192 −0.00775958 0.999970i \(-0.502470\pi\)
−0.00775958 + 0.999970i \(0.502470\pi\)
\(114\) 1.57254 2.72372i 0.147282 0.255099i
\(115\) 16.6133 + 9.59167i 1.54919 + 0.894428i
\(116\) 10.2811 0.954579
\(117\) 4.35804 5.06143i 0.402901 0.467930i
\(118\) 3.47981 6.02721i 0.320343 0.554850i
\(119\) −5.54107 3.19914i −0.507949 0.293264i
\(120\) 5.65745 + 9.79898i 0.516452 + 0.894521i
\(121\) −5.29966 9.17928i −0.481787 0.834480i
\(122\) 3.58087i 0.324197i
\(123\) −5.86353 3.38531i −0.528697 0.305243i
\(124\) −6.46497 3.78044i −0.580571 0.339493i
\(125\) 20.3839i 1.82320i
\(126\) 1.78764 3.09628i 0.159255 0.275838i
\(127\) 16.4769 1.46208 0.731042 0.682332i \(-0.239034\pi\)
0.731042 + 0.682332i \(0.239034\pi\)
\(128\) −7.47776 + 4.31729i −0.660947 + 0.381598i
\(129\) 1.57896 + 2.73484i 0.139020 + 0.240789i
\(130\) 3.75735 + 10.7470i 0.329542 + 0.942574i
\(131\) 8.02190 13.8943i 0.700876 1.21395i −0.267283 0.963618i \(-0.586126\pi\)
0.968159 0.250336i \(-0.0805409\pi\)
\(132\) −0.789893 + 0.456045i −0.0687514 + 0.0396936i
\(133\) −4.32612 + 7.49306i −0.375122 + 0.649731i
\(134\) −9.68765 −0.836885
\(135\) 17.5649 10.1411i 1.51174 0.872805i
\(136\) −6.28955 + 3.63127i −0.539324 + 0.311379i
\(137\) 12.4285i 1.06184i 0.847423 + 0.530918i \(0.178153\pi\)
−0.847423 + 0.530918i \(0.821847\pi\)
\(138\) 3.69115 + 2.13109i 0.314212 + 0.181410i
\(139\) −0.511422 + 0.885808i −0.0433782 + 0.0751333i −0.886899 0.461963i \(-0.847145\pi\)
0.843521 + 0.537096i \(0.180479\pi\)
\(140\) −6.25838 10.8398i −0.528930 0.916133i
\(141\) 2.20097i 0.185355i
\(142\) −3.60742 6.24824i −0.302728 0.524341i
\(143\) −2.15442 + 0.753226i −0.180162 + 0.0629879i
\(144\) 0.462615 + 0.801273i 0.0385513 + 0.0667728i
\(145\) 25.8278 + 14.9117i 2.14488 + 1.23835i
\(146\) −2.34327 + 4.05867i −0.193931 + 0.335898i
\(147\) −0.702838 + 1.21735i −0.0579691 + 0.100405i
\(148\) −7.74562 4.47194i −0.636686 0.367591i
\(149\) 3.49517 2.01794i 0.286335 0.165316i −0.349953 0.936767i \(-0.613802\pi\)
0.636288 + 0.771452i \(0.280469\pi\)
\(150\) 8.86349i 0.723701i
\(151\) 4.83637i 0.393578i −0.980446 0.196789i \(-0.936949\pi\)
0.980446 0.196789i \(-0.0630515\pi\)
\(152\) 4.91048 + 8.50521i 0.398293 + 0.689863i
\(153\) 2.48490 + 4.30397i 0.200892 + 0.347955i
\(154\) −1.05802 + 0.610847i −0.0852575 + 0.0492234i
\(155\) −10.7579 18.8738i −0.864093 1.51598i
\(156\) −1.71460 4.90419i −0.137278 0.392650i
\(157\) −12.6893 −1.01272 −0.506359 0.862323i \(-0.669009\pi\)
−0.506359 + 0.862323i \(0.669009\pi\)
\(158\) 3.49912i 0.278375i
\(159\) 3.90964 + 6.77170i 0.310055 + 0.537030i
\(160\) −22.7020 −1.79475
\(161\) −10.1545 5.86272i −0.800289 0.462047i
\(162\) 0.00774533 0.00447177i 0.000608531 0.000351335i
\(163\) −10.8343 6.25517i −0.848606 0.489943i 0.0115741 0.999933i \(-0.496316\pi\)
−0.860180 + 0.509990i \(0.829649\pi\)
\(164\) 7.36253 4.25076i 0.574917 0.331928i
\(165\) −2.64577 −0.205973
\(166\) 4.67153 8.09132i 0.362581 0.628008i
\(167\) 8.04149i 0.622269i −0.950366 0.311135i \(-0.899291\pi\)
0.950366 0.311135i \(-0.100709\pi\)
\(168\) −3.45800 5.98943i −0.266791 0.462095i
\(169\) −1.93076 12.8558i −0.148520 0.988909i
\(170\) −8.47126 −0.649716
\(171\) 5.82015 3.36027i 0.445078 0.256966i
\(172\) −3.96523 −0.302346
\(173\) −17.4660 −1.32792 −0.663960 0.747769i \(-0.731125\pi\)
−0.663960 + 0.747769i \(0.731125\pi\)
\(174\) 5.73844 + 3.31309i 0.435030 + 0.251165i
\(175\) 24.3838i 1.84324i
\(176\) 0.316157i 0.0238312i
\(177\) −7.97832 + 4.60629i −0.599688 + 0.346230i
\(178\) 0.982162 1.70115i 0.0736162 0.127507i
\(179\) −11.9217 −0.891071 −0.445535 0.895264i \(-0.646987\pi\)
−0.445535 + 0.895264i \(0.646987\pi\)
\(180\) 9.72226i 0.724655i
\(181\) −4.34889 7.53249i −0.323250 0.559886i 0.657907 0.753100i \(-0.271442\pi\)
−0.981157 + 0.193214i \(0.938109\pi\)
\(182\) −2.29661 6.56889i −0.170236 0.486919i
\(183\) 2.37003 4.10501i 0.175198 0.303451i
\(184\) −11.5262 + 6.65464i −0.849721 + 0.490587i
\(185\) −12.9721 22.4684i −0.953729 1.65191i
\(186\) −2.39020 4.19340i −0.175258 0.307475i
\(187\) 1.69821i 0.124185i
\(188\) −2.39338 1.38182i −0.174555 0.100779i
\(189\) −10.7362 + 6.19853i −0.780941 + 0.450877i
\(190\) 11.4555i 0.831068i
\(191\) 7.65616 0.553980 0.276990 0.960873i \(-0.410663\pi\)
0.276990 + 0.960873i \(0.410663\pi\)
\(192\) −3.97388 −0.286790
\(193\) 1.75504i 0.126330i 0.998003 + 0.0631651i \(0.0201195\pi\)
−0.998003 + 0.0631651i \(0.979881\pi\)
\(194\) 13.3232 0.956550
\(195\) 2.80567 14.8069i 0.200918 1.06034i
\(196\) −0.882516 1.52856i −0.0630369 0.109183i
\(197\) 20.9453 + 12.0928i 1.49229 + 0.861573i 0.999961 0.00883657i \(-0.00281280\pi\)
0.492328 + 0.870410i \(0.336146\pi\)
\(198\) 0.948938 0.0674381
\(199\) −26.0993 −1.85013 −0.925065 0.379808i \(-0.875990\pi\)
−0.925065 + 0.379808i \(0.875990\pi\)
\(200\) −23.9695 13.8388i −1.69490 0.978550i
\(201\) 11.1057 + 6.41186i 0.783333 + 0.452257i
\(202\) −12.1061 6.98948i −0.851785 0.491778i
\(203\) −15.7867 9.11445i −1.10801 0.639709i
\(204\) 3.86570 0.270653
\(205\) 24.6610 1.72240
\(206\) −0.716881 0.413892i −0.0499475 0.0288372i
\(207\) 4.55380 + 7.88742i 0.316511 + 0.548213i
\(208\) 1.76935 + 0.335264i 0.122683 + 0.0232464i
\(209\) −2.29645 −0.158849
\(210\) 8.06704i 0.556679i
\(211\) 2.14037 0.147349 0.0736746 0.997282i \(-0.476527\pi\)
0.0736746 + 0.997282i \(0.476527\pi\)
\(212\) −9.81825 −0.674320
\(213\) 9.55042i 0.654384i
\(214\) −1.90881 + 1.10205i −0.130483 + 0.0753345i
\(215\) −9.96125 5.75113i −0.679352 0.392224i
\(216\) 14.0716i 0.957453i
\(217\) 6.57553 + 11.5362i 0.446376 + 0.783129i
\(218\) −0.408737 0.707953i −0.0276831 0.0479486i
\(219\) 5.37253 3.10183i 0.363042 0.209602i
\(220\) 1.66108 2.87707i 0.111990 0.193972i
\(221\) 9.50392 + 1.80084i 0.639303 + 0.121137i
\(222\) −2.88216 4.99205i −0.193438 0.335044i
\(223\) 13.1258i 0.878971i 0.898250 + 0.439486i \(0.144839\pi\)
−0.898250 + 0.439486i \(0.855161\pi\)
\(224\) 13.8762 0.927140
\(225\) −9.46994 + 16.4024i −0.631329 + 1.09349i
\(226\) 0.115619 0.0667524i 0.00769084 0.00444031i
\(227\) 26.0831i 1.73120i −0.500737 0.865599i \(-0.666938\pi\)
0.500737 0.865599i \(-0.333062\pi\)
\(228\) 5.22750i 0.346199i
\(229\) 21.9998 + 12.7016i 1.45379 + 0.839343i 0.998693 0.0511012i \(-0.0162731\pi\)
0.455092 + 0.890445i \(0.349606\pi\)
\(230\) −15.5244 −1.02365
\(231\) 1.61718 0.106402
\(232\) −17.9191 + 10.3456i −1.17645 + 0.679223i
\(233\) −21.4055 −1.40232 −0.701161 0.713003i \(-0.747334\pi\)
−0.701161 + 0.713003i \(0.747334\pi\)
\(234\) −1.00629 + 5.31067i −0.0657829 + 0.347169i
\(235\) −4.00835 6.94267i −0.261476 0.452890i
\(236\) 11.5677i 0.752996i
\(237\) −2.31592 + 4.01129i −0.150435 + 0.260561i
\(238\) 5.17789 0.335633
\(239\) −4.51133 + 2.60462i −0.291814 + 0.168479i −0.638760 0.769406i \(-0.720552\pi\)
0.346946 + 0.937885i \(0.387219\pi\)
\(240\) 1.80795 + 1.04382i 0.116702 + 0.0673782i
\(241\) 15.1443 8.74354i 0.975527 0.563221i 0.0746104 0.997213i \(-0.476229\pi\)
0.900917 + 0.433992i \(0.142895\pi\)
\(242\) 7.42845 + 4.28882i 0.477519 + 0.275696i
\(243\) 15.5825 0.999620
\(244\) 2.97592 + 5.15444i 0.190514 + 0.329979i
\(245\) 5.11997i 0.327103i
\(246\) 5.47922 0.349342
\(247\) 2.43523 12.8519i 0.154950 0.817748i
\(248\) 15.0720 + 0.0834590i 0.957076 + 0.00529965i
\(249\) −10.7106 + 6.18378i −0.678758 + 0.391881i
\(250\) −8.24799 14.2859i −0.521649 0.903522i
\(251\) 9.04997 + 15.6750i 0.571229 + 0.989398i 0.996440 + 0.0843039i \(0.0268666\pi\)
−0.425211 + 0.905094i \(0.639800\pi\)
\(252\) 5.94254i 0.374345i
\(253\) 3.11213i 0.195658i
\(254\) −11.5477 + 6.66706i −0.724566 + 0.418328i
\(255\) 9.71122 + 5.60678i 0.608140 + 0.351110i
\(256\) 7.20345 12.4767i 0.450215 0.779796i
\(257\) −3.03717 + 5.26054i −0.189454 + 0.328143i −0.945068 0.326873i \(-0.894005\pi\)
0.755615 + 0.655017i \(0.227338\pi\)
\(258\) −2.21320 1.27779i −0.137788 0.0795519i
\(259\) 7.92894 + 13.7333i 0.492681 + 0.853348i
\(260\) 14.3399 + 12.3471i 0.889322 + 0.765732i
\(261\) 7.07956 + 12.2621i 0.438213 + 0.759008i
\(262\) 12.9837i 0.802133i
\(263\) 2.98681 + 5.17331i 0.184175 + 0.319000i 0.943298 0.331947i \(-0.107705\pi\)
−0.759123 + 0.650947i \(0.774372\pi\)
\(264\) 0.917811 1.58970i 0.0564874 0.0978390i
\(265\) −24.6649 14.2403i −1.51515 0.874775i
\(266\) 7.00194i 0.429316i
\(267\) −2.25185 + 1.30010i −0.137811 + 0.0795651i
\(268\) −13.9448 + 8.05102i −0.851813 + 0.491795i
\(269\) −26.9926 −1.64577 −0.822885 0.568208i \(-0.807637\pi\)
−0.822885 + 0.568208i \(0.807637\pi\)
\(270\) −8.20680 + 14.2146i −0.499450 + 0.865072i
\(271\) 13.0422 7.52991i 0.792257 0.457410i −0.0484997 0.998823i \(-0.515444\pi\)
0.840756 + 0.541414i \(0.182111\pi\)
\(272\) −0.669982 + 1.16044i −0.0406236 + 0.0703622i
\(273\) −1.71491 + 9.05043i −0.103791 + 0.547757i
\(274\) −5.02895 8.71040i −0.303810 0.526214i
\(275\) 5.60481 3.23594i 0.337983 0.195134i
\(276\) 7.08426 0.426422
\(277\) 11.8552 20.5339i 0.712313 1.23376i −0.251674 0.967812i \(-0.580981\pi\)
0.963987 0.265950i \(-0.0856855\pi\)
\(278\) 0.827749i 0.0496451i
\(279\) 0.0571114 10.3139i 0.00341917 0.617475i
\(280\) 21.8157 + 12.5953i 1.30373 + 0.752711i
\(281\) 13.8733i 0.827609i −0.910366 0.413804i \(-0.864200\pi\)
0.910366 0.413804i \(-0.135800\pi\)
\(282\) −0.890580 1.54253i −0.0530333 0.0918563i
\(283\) 9.17313 + 15.8883i 0.545286 + 0.944463i 0.998589 + 0.0531068i \(0.0169124\pi\)
−0.453303 + 0.891357i \(0.649754\pi\)
\(284\) −10.3853 5.99598i −0.616256 0.355796i
\(285\) 7.58191 13.1323i 0.449114 0.777888i
\(286\) 1.20513 1.39964i 0.0712609 0.0827624i
\(287\) −15.0736 −0.889764
\(288\) −9.33417 5.38908i −0.550021 0.317555i
\(289\) 4.90125 8.48922i 0.288309 0.499366i
\(290\) −24.1349 −1.41725
\(291\) −15.2734 8.81808i −0.895340 0.516925i
\(292\) 7.78960i 0.455852i
\(293\) −28.1589 + 16.2575i −1.64506 + 0.949776i −0.666065 + 0.745893i \(0.732023\pi\)
−0.978995 + 0.203883i \(0.934644\pi\)
\(294\) 1.13756i 0.0663439i
\(295\) 16.7777 29.0599i 0.976838 1.69193i
\(296\) 17.9999 1.04623
\(297\) −2.84956 1.64519i −0.165348 0.0954638i
\(298\) −1.63304 + 2.82851i −0.0945995 + 0.163851i
\(299\) 17.4168 + 3.30020i 1.00724 + 0.190856i
\(300\) 7.36609 + 12.7585i 0.425282 + 0.736609i
\(301\) 6.08862 + 3.51526i 0.350942 + 0.202616i
\(302\) 1.95695 + 3.38953i 0.112610 + 0.195046i
\(303\) 9.25210 + 16.0251i 0.531519 + 0.920618i
\(304\) 1.56924 + 0.906002i 0.0900021 + 0.0519628i
\(305\) 17.2650i 0.988590i
\(306\) −3.48304 2.01093i −0.199112 0.114957i
\(307\) −26.7492 15.4437i −1.52666 0.881418i −0.999499 0.0316524i \(-0.989923\pi\)
−0.527161 0.849765i \(-0.676744\pi\)
\(308\) −1.01530 + 1.75855i −0.0578522 + 0.100203i
\(309\) 0.547875 + 0.948948i 0.0311675 + 0.0539838i
\(310\) 15.1765 + 8.87456i 0.861967 + 0.504041i
\(311\) 12.5933 0.714102 0.357051 0.934085i \(-0.383782\pi\)
0.357051 + 0.934085i \(0.383782\pi\)
\(312\) 7.92335 + 6.82224i 0.448571 + 0.386233i
\(313\) −12.2644 + 21.2426i −0.693225 + 1.20070i 0.277551 + 0.960711i \(0.410477\pi\)
−0.970775 + 0.239990i \(0.922856\pi\)
\(314\) 8.89322 5.13450i 0.501873 0.289757i
\(315\) 8.61900 14.9286i 0.485626 0.841129i
\(316\) −2.90798 5.03677i −0.163587 0.283340i
\(317\) 12.8198 + 7.40151i 0.720031 + 0.415710i 0.814764 0.579793i \(-0.196866\pi\)
−0.0947332 + 0.995503i \(0.530200\pi\)
\(318\) −5.48008 3.16393i −0.307308 0.177424i
\(319\) 4.83826i 0.270890i
\(320\) 12.5351 7.23715i 0.700734 0.404569i
\(321\) 2.91760 0.162845
\(322\) 9.48896 0.528799
\(323\) 8.42903 + 4.86650i 0.469004 + 0.270779i
\(324\) 0.00743262 0.0128737i 0.000412924 0.000715205i
\(325\) 12.1662 + 34.7985i 0.674859 + 1.93027i
\(326\) 10.1242 0.560726
\(327\) 1.08210i 0.0598405i
\(328\) −8.55484 + 14.8174i −0.472362 + 0.818155i
\(329\) 2.45002 + 4.24357i 0.135074 + 0.233955i
\(330\) 1.85427 1.07056i 0.102074 0.0589326i
\(331\) 11.4180i 0.627588i 0.949491 + 0.313794i \(0.101600\pi\)
−0.949491 + 0.313794i \(0.898400\pi\)
\(332\) 15.5293i 0.852280i
\(333\) 12.3174i 0.674992i
\(334\) 3.25384 + 5.63582i 0.178042 + 0.308378i
\(335\) −46.7085 −2.55196
\(336\) −1.10507 0.638013i −0.0602866 0.0348065i
\(337\) −12.8416 −0.699526 −0.349763 0.936838i \(-0.613738\pi\)
−0.349763 + 0.936838i \(0.613738\pi\)
\(338\) 6.55503 + 8.22866i 0.356547 + 0.447580i
\(339\) −0.176723 −0.00959826
\(340\) −12.1939 + 7.04013i −0.661305 + 0.381805i
\(341\) −1.77906 + 3.04239i −0.0963414 + 0.164755i
\(342\) −2.71934 + 4.71004i −0.147045 + 0.254690i
\(343\) 19.8239i 1.07039i
\(344\) 6.91105 3.99010i 0.372619 0.215132i
\(345\) 17.7967 + 10.2749i 0.958143 + 0.553184i
\(346\) 12.2409 7.06731i 0.658077 0.379941i
\(347\) −1.90023 3.29129i −0.102010 0.176686i 0.810503 0.585735i \(-0.199194\pi\)
−0.912513 + 0.409049i \(0.865861\pi\)
\(348\) 11.0135 0.590386
\(349\) 13.5912 7.84688i 0.727520 0.420034i −0.0899941 0.995942i \(-0.528685\pi\)
0.817514 + 0.575908i \(0.195351\pi\)
\(350\) 9.86647 + 17.0892i 0.527385 + 0.913458i
\(351\) 12.2290 14.2027i 0.652735 0.758087i
\(352\) 1.84148 + 3.18954i 0.0981514 + 0.170003i
\(353\) 14.1945i 0.755498i −0.925908 0.377749i \(-0.876698\pi\)
0.925908 0.377749i \(-0.123302\pi\)
\(354\) 3.72770 6.45656i 0.198125 0.343162i
\(355\) −17.3930 30.1256i −0.923126 1.59890i
\(356\) 3.26494i 0.173042i
\(357\) −5.93579 3.42703i −0.314155 0.181378i
\(358\) 8.35524 4.82390i 0.441588 0.254951i
\(359\) 11.5197 6.65088i 0.607985 0.351020i −0.164192 0.986428i \(-0.552502\pi\)
0.772176 + 0.635408i \(0.219168\pi\)
\(360\) −9.78324 16.9451i −0.515622 0.893084i
\(361\) −2.91914 + 5.05610i −0.153639 + 0.266110i
\(362\) 6.09577 + 3.51939i 0.320386 + 0.184975i
\(363\) −5.67718 9.83317i −0.297975 0.516108i
\(364\) −8.76497 7.54690i −0.459409 0.395565i
\(365\) −11.2980 + 19.5687i −0.591363 + 1.02427i
\(366\) 3.83596i 0.200509i
\(367\) −4.82158 + 8.35122i −0.251684 + 0.435930i −0.963990 0.265940i \(-0.914318\pi\)
0.712305 + 0.701870i \(0.247651\pi\)
\(368\) −1.22781 + 2.12662i −0.0640038 + 0.110858i
\(369\) 10.1396 + 5.85412i 0.527848 + 0.304753i
\(370\) 18.1828 + 10.4979i 0.945279 + 0.545757i
\(371\) 15.0759 + 8.70410i 0.782704 + 0.451894i
\(372\) −6.92551 4.04974i −0.359071 0.209969i
\(373\) 1.79190 3.10367i 0.0927813 0.160702i −0.815899 0.578194i \(-0.803758\pi\)
0.908680 + 0.417492i \(0.137091\pi\)
\(374\) 0.687149 + 1.19018i 0.0355316 + 0.0615426i
\(375\) 21.8360i 1.12761i
\(376\) 5.56194 0.286835
\(377\) 27.0770 + 5.13065i 1.39454 + 0.264242i
\(378\) 5.01624 8.68838i 0.258008 0.446882i
\(379\) 26.3047i 1.35118i 0.737277 + 0.675591i \(0.236111\pi\)
−0.737277 + 0.675591i \(0.763889\pi\)
\(380\) 9.52020 + 16.4895i 0.488376 + 0.845892i
\(381\) 17.6506 0.904268
\(382\) −5.36576 + 3.09792i −0.274536 + 0.158504i
\(383\) 35.5713i 1.81761i −0.417224 0.908804i \(-0.636997\pi\)
0.417224 0.908804i \(-0.363003\pi\)
\(384\) −8.01044 + 4.62483i −0.408781 + 0.236010i
\(385\) −5.10118 + 2.94517i −0.259980 + 0.150100i
\(386\) −0.710143 1.23000i −0.0361453 0.0626055i
\(387\) −2.73044 4.72927i −0.138796 0.240402i
\(388\) 19.1779 11.0724i 0.973612 0.562115i
\(389\) 5.54026 9.59600i 0.280902 0.486537i −0.690705 0.723137i \(-0.742700\pi\)
0.971607 + 0.236600i \(0.0760330\pi\)
\(390\) 4.02501 + 11.5126i 0.203814 + 0.582962i
\(391\) −6.59504 + 11.4229i −0.333526 + 0.577683i
\(392\) 3.07630 + 1.77610i 0.155377 + 0.0897067i
\(393\) 8.59334 14.8841i 0.433477 0.750804i
\(394\) −19.5724 −0.986046
\(395\) 16.8708i 0.848863i
\(396\) 1.36594 0.788625i 0.0686410 0.0396299i
\(397\) −18.8150 + 10.8629i −0.944299 + 0.545191i −0.891305 0.453404i \(-0.850210\pi\)
−0.0529936 + 0.998595i \(0.516876\pi\)
\(398\) 18.2915 10.5606i 0.916870 0.529355i
\(399\) −4.63429 + 8.02683i −0.232005 + 0.401844i
\(400\) −5.10661 −0.255330
\(401\) 13.5462 7.82089i 0.676464 0.390557i −0.122057 0.992523i \(-0.538949\pi\)
0.798521 + 0.601966i \(0.205616\pi\)
\(402\) −10.3778 −0.517595
\(403\) −15.1400 13.1826i −0.754175 0.656674i
\(404\) −23.2347 −1.15597
\(405\) 0.0373437 0.0215604i 0.00185563 0.00107135i
\(406\) 14.7520 0.732129
\(407\) −2.10447 + 3.64506i −0.104315 + 0.180679i
\(408\) −6.73759 + 3.88995i −0.333560 + 0.192581i
\(409\) −3.83623 + 2.21485i −0.189690 + 0.109517i −0.591837 0.806057i \(-0.701597\pi\)
0.402148 + 0.915575i \(0.368264\pi\)
\(410\) −17.2835 + 9.97863i −0.853571 + 0.492809i
\(411\) 13.3138i 0.656722i
\(412\) −1.37588 −0.0677845
\(413\) −10.2551 + 17.7623i −0.504618 + 0.874025i
\(414\) −6.38300 3.68522i −0.313707 0.181119i
\(415\) 22.5235 39.0119i 1.10564 1.91502i
\(416\) −19.8028 + 6.92344i −0.970914 + 0.339450i
\(417\) −0.547853 + 0.948910i −0.0268285 + 0.0464683i
\(418\) 1.60945 0.929216i 0.0787207 0.0454494i
\(419\) 11.8835 + 20.5827i 0.580545 + 1.00553i 0.995415 + 0.0956524i \(0.0304937\pi\)
−0.414870 + 0.909881i \(0.636173\pi\)
\(420\) −6.70420 11.6120i −0.327131 0.566608i
\(421\) 3.42815 1.97925i 0.167078 0.0964625i −0.414129 0.910218i \(-0.635914\pi\)
0.581207 + 0.813756i \(0.302581\pi\)
\(422\) −1.50006 + 0.866061i −0.0730219 + 0.0421592i
\(423\) 3.80606i 0.185057i
\(424\) 17.1124 9.87984i 0.831051 0.479807i
\(425\) −27.4297 −1.33053
\(426\) −3.86440 6.69334i −0.187231 0.324293i
\(427\) 10.5529i 0.510690i
\(428\) −1.83174 + 3.17267i −0.0885405 + 0.153357i
\(429\) −2.30789 + 0.806882i −0.111426 + 0.0389567i
\(430\) 9.30835 0.448889
\(431\) 15.6334i 0.753034i −0.926410 0.376517i \(-0.877122\pi\)
0.926410 0.376517i \(-0.122878\pi\)
\(432\) 1.29813 + 2.24843i 0.0624564 + 0.108178i
\(433\) 4.16662 7.21680i 0.200235 0.346817i −0.748369 0.663283i \(-0.769163\pi\)
0.948604 + 0.316465i \(0.102496\pi\)
\(434\) −9.27633 5.42440i −0.445278 0.260379i
\(435\) 27.6676 + 15.9739i 1.32656 + 0.765890i
\(436\) −1.17670 0.679370i −0.0563539 0.0325359i
\(437\) 15.4470 + 8.91832i 0.738930 + 0.426621i
\(438\) −2.51020 + 4.34779i −0.119942 + 0.207745i
\(439\) 15.6712 27.1432i 0.747943 1.29548i −0.200864 0.979619i \(-0.564375\pi\)
0.948807 0.315856i \(-0.102292\pi\)
\(440\) 6.68599i 0.318742i
\(441\) 1.21540 2.10513i 0.0578760 0.100244i
\(442\) −7.38942 + 2.58348i −0.351479 + 0.122884i
\(443\) −7.59799 13.1601i −0.360991 0.625255i 0.627133 0.778912i \(-0.284228\pi\)
−0.988124 + 0.153657i \(0.950895\pi\)
\(444\) −8.29739 4.79050i −0.393776 0.227347i
\(445\) 4.73545 8.20203i 0.224482 0.388814i
\(446\) −5.31113 9.19914i −0.251489 0.435592i
\(447\) 3.74415 2.16168i 0.177092 0.102244i
\(448\) −7.66183 + 4.42356i −0.361988 + 0.208994i
\(449\) −0.631391 0.364534i −0.0297972 0.0172034i 0.485027 0.874499i \(-0.338810\pi\)
−0.514825 + 0.857296i \(0.672143\pi\)
\(450\) 15.3273i 0.722538i
\(451\) −2.00039 3.46477i −0.0941946 0.163150i
\(452\) 0.110951 0.192172i 0.00521868 0.00903902i
\(453\) 5.18089i 0.243420i
\(454\) 10.5541 + 18.2802i 0.495327 + 0.857931i
\(455\) −11.0730 31.6716i −0.519109 1.48479i
\(456\) 5.26029 + 9.11108i 0.246335 + 0.426666i
\(457\) −25.1156 + 14.5005i −1.17486 + 0.678304i −0.954819 0.297187i \(-0.903952\pi\)
−0.220038 + 0.975491i \(0.570618\pi\)
\(458\) −20.5578 −0.960604
\(459\) 6.97280 + 12.0772i 0.325462 + 0.563717i
\(460\) −22.3464 + 12.9017i −1.04191 + 0.601544i
\(461\) 29.3832 + 16.9644i 1.36851 + 0.790111i 0.990738 0.135787i \(-0.0433563\pi\)
0.377774 + 0.925898i \(0.376690\pi\)
\(462\) −1.13339 + 0.654361i −0.0527299 + 0.0304436i
\(463\) 1.48300i 0.0689207i 0.999406 + 0.0344603i \(0.0109712\pi\)
−0.999406 + 0.0344603i \(0.989029\pi\)
\(464\) −1.90880 + 3.30614i −0.0886140 + 0.153484i
\(465\) −11.5242 20.2182i −0.534423 0.937599i
\(466\) 15.0019 8.66134i 0.694949 0.401229i
\(467\) 8.61417 0.398616 0.199308 0.979937i \(-0.436131\pi\)
0.199308 + 0.979937i \(0.436131\pi\)
\(468\) 2.96500 + 8.48067i 0.137057 + 0.392019i
\(469\) 28.5497 1.31830
\(470\) 5.61844 + 3.24381i 0.259159 + 0.149626i
\(471\) −13.5933 −0.626344
\(472\) 11.6403 + 20.1616i 0.535788 + 0.928012i
\(473\) 1.86602i 0.0857997i
\(474\) 3.74838i 0.172169i
\(475\) 37.0925i 1.70192i
\(476\) 7.45325 4.30314i 0.341619 0.197234i
\(477\) −6.76082 11.7101i −0.309557 0.536168i
\(478\) 2.10782 3.65086i 0.0964096 0.166986i
\(479\) 24.8992i 1.13767i 0.822451 + 0.568836i \(0.192606\pi\)
−0.822451 + 0.568836i \(0.807394\pi\)
\(480\) −24.3192 −1.11002
\(481\) −18.1677 15.6429i −0.828374 0.713255i
\(482\) −7.07582 + 12.2557i −0.322295 + 0.558231i
\(483\) −10.8779 6.28035i −0.494961 0.285766i
\(484\) 14.2571 0.648049
\(485\) 64.2371 2.91686
\(486\) −10.9209 + 6.30518i −0.495382 + 0.286009i
\(487\) 27.6249i 1.25180i 0.779902 + 0.625901i \(0.215269\pi\)
−0.779902 + 0.625901i \(0.784731\pi\)
\(488\) −10.3735 5.98917i −0.469588 0.271117i
\(489\) −11.6061 6.70077i −0.524845 0.303019i
\(490\) 2.07170 + 3.58829i 0.0935900 + 0.162103i
\(491\) 1.27632 2.21065i 0.0575995 0.0997653i −0.835788 0.549053i \(-0.814989\pi\)
0.893387 + 0.449287i \(0.148322\pi\)
\(492\) 7.88700 4.55356i 0.355573 0.205290i
\(493\) −10.2530 + 17.7586i −0.461770 + 0.799809i
\(494\) 3.49358 + 9.99255i 0.157184 + 0.449586i
\(495\) 4.57525 0.205642
\(496\) 2.41598 1.37709i 0.108481 0.0618330i
\(497\) 10.6311 + 18.4137i 0.476872 + 0.825966i
\(498\) 5.00430 8.66771i 0.224248 0.388409i
\(499\) 4.81740 + 2.78133i 0.215656 + 0.124509i 0.603937 0.797032i \(-0.293598\pi\)
−0.388281 + 0.921541i \(0.626931\pi\)
\(500\) −23.7450 13.7092i −1.06191 0.613092i
\(501\) 8.61433i 0.384860i
\(502\) −12.6852 7.32381i −0.566169 0.326878i
\(503\) 13.0825 + 22.6596i 0.583321 + 1.01034i 0.995082 + 0.0990496i \(0.0315803\pi\)
−0.411762 + 0.911292i \(0.635086\pi\)
\(504\) 5.97981 + 10.3573i 0.266362 + 0.461353i
\(505\) −58.3691 33.6994i −2.59739 1.49961i
\(506\) 1.25926 + 2.18111i 0.0559811 + 0.0969622i
\(507\) −2.06830 13.7716i −0.0918564 0.611619i
\(508\) −11.0815 + 19.1936i −0.491660 + 0.851580i
\(509\) 31.2581 + 18.0469i 1.38549 + 0.799913i 0.992803 0.119759i \(-0.0382121\pi\)
0.392688 + 0.919672i \(0.371545\pi\)
\(510\) −9.07471 −0.401835
\(511\) 6.90566 11.9609i 0.305488 0.529121i
\(512\) 5.61018i 0.247937i
\(513\) 16.3318 9.42916i 0.721066 0.416307i
\(514\) 4.91575i 0.216824i
\(515\) −3.45641 1.99556i −0.152307 0.0879348i
\(516\) −4.24769 −0.186994
\(517\) −0.650277 + 1.12631i −0.0285992 + 0.0495352i
\(518\) −11.1139 6.41660i −0.488316 0.281929i
\(519\) −18.7103 −0.821289
\(520\) −37.4177 7.09005i −1.64088 0.310919i
\(521\) 4.16860 7.22023i 0.182630 0.316324i −0.760145 0.649753i \(-0.774872\pi\)
0.942775 + 0.333429i \(0.108206\pi\)
\(522\) −9.92331 5.72922i −0.434331 0.250761i
\(523\) −6.68517 11.5790i −0.292322 0.506316i 0.682036 0.731318i \(-0.261095\pi\)
−0.974358 + 0.225002i \(0.927761\pi\)
\(524\) 10.7902 + 18.6892i 0.471372 + 0.816440i
\(525\) 26.1208i 1.14001i
\(526\) −4.18657 2.41712i −0.182543 0.105391i
\(527\) 12.9772 7.39690i 0.565297 0.322214i
\(528\) 0.338679i 0.0147391i
\(529\) −0.586027 + 1.01503i −0.0254794 + 0.0441317i
\(530\) 23.0483 1.00115
\(531\) 13.7967 7.96551i 0.598724 0.345674i
\(532\) −5.81903 10.0789i −0.252287 0.436974i
\(533\) 21.5117 7.52088i 0.931773 0.325765i
\(534\) 1.05213 1.82234i 0.0455300 0.0788603i
\(535\) −9.20321 + 5.31348i −0.397889 + 0.229722i
\(536\) 16.2030 28.0645i 0.699865 1.21220i
\(537\) −12.7710 −0.551108
\(538\) 18.9176 10.9221i 0.815595 0.470884i
\(539\) −0.719335 + 0.415308i −0.0309840 + 0.0178886i
\(540\) 27.2814i 1.17400i
\(541\) 1.15754 + 0.668306i 0.0497665 + 0.0287327i 0.524677 0.851301i \(-0.324186\pi\)
−0.474910 + 0.880034i \(0.657520\pi\)
\(542\) −6.09368 + 10.5546i −0.261746 + 0.453357i
\(543\) −4.65868 8.06907i −0.199923 0.346277i
\(544\) 15.6095i 0.669250i
\(545\) −1.97070 3.41336i −0.0844157 0.146212i
\(546\) −2.46021 7.03683i −0.105287 0.301148i
\(547\) −14.6344 25.3476i −0.625723 1.08378i −0.988400 0.151870i \(-0.951470\pi\)
0.362677 0.931915i \(-0.381863\pi\)
\(548\) −14.4777 8.35872i −0.618458 0.357067i
\(549\) −4.09842 + 7.09867i −0.174916 + 0.302964i
\(550\) −2.61873 + 4.53577i −0.111663 + 0.193406i
\(551\) 24.0146 + 13.8648i 1.02306 + 0.590662i
\(552\) −12.3473 + 7.12869i −0.525534 + 0.303417i
\(553\) 10.3120i 0.438509i
\(554\) 19.1880i 0.815221i
\(555\) −13.8962 24.0689i −0.589860 1.02167i
\(556\) −0.687910 1.19149i −0.0291739 0.0505306i
\(557\) −4.08888 + 2.36072i −0.173251 + 0.100027i −0.584118 0.811669i \(-0.698560\pi\)
0.410867 + 0.911695i \(0.365226\pi\)
\(558\) 4.13329 + 7.25151i 0.174976 + 0.306981i
\(559\) −10.4431 1.97879i −0.441694 0.0836939i
\(560\) 4.64774 0.196403
\(561\) 1.81918i 0.0768059i
\(562\) 5.61356 + 9.72297i 0.236794 + 0.410139i
\(563\) 31.2859 1.31855 0.659273 0.751904i \(-0.270864\pi\)
0.659273 + 0.751904i \(0.270864\pi\)
\(564\) −2.56387 1.48025i −0.107958 0.0623298i
\(565\) 0.557449 0.321844i 0.0234521 0.0135401i
\(566\) −12.8578 7.42348i −0.540455 0.312032i
\(567\) −0.0228256 + 0.0131784i −0.000958586 + 0.000553440i
\(568\) 24.1343 1.01265
\(569\) 1.61141 2.79105i 0.0675539 0.117007i −0.830270 0.557361i \(-0.811814\pi\)
0.897824 + 0.440354i \(0.145147\pi\)
\(570\) 12.2715i 0.513998i
\(571\) −0.204967 0.355013i −0.00857758 0.0148568i 0.861705 0.507410i \(-0.169397\pi\)
−0.870282 + 0.492553i \(0.836064\pi\)
\(572\) 0.571527 3.01623i 0.0238967 0.126115i
\(573\) 8.20155 0.342625
\(574\) 10.5642 6.09924i 0.440941 0.254577i
\(575\) −50.2674 −2.09630
\(576\) 6.87191 0.286330
\(577\) 34.7677 + 20.0731i 1.44740 + 0.835656i 0.998326 0.0578391i \(-0.0184210\pi\)
0.449073 + 0.893495i \(0.351754\pi\)
\(578\) 7.93280i 0.329961i
\(579\) 1.88006i 0.0781325i
\(580\) −34.7407 + 20.0576i −1.44253 + 0.832845i
\(581\) −13.7671 + 23.8452i −0.571154 + 0.989267i
\(582\) 14.2723 0.591605
\(583\) 4.62043i 0.191359i
\(584\) −7.83846 13.5766i −0.324358 0.561804i
\(585\) −4.85175 + 25.6051i −0.200595 + 1.05864i
\(586\) 13.1566 22.7880i 0.543496 0.941362i
\(587\) −16.5175 + 9.53639i −0.681751 + 0.393609i −0.800514 0.599314i \(-0.795440\pi\)
0.118764 + 0.992923i \(0.462107\pi\)
\(588\) −0.945383 1.63745i −0.0389869 0.0675273i
\(589\) −10.0027 17.5488i −0.412152 0.723086i
\(590\) 27.1552i 1.11796i
\(591\) 22.4373 + 12.9542i 0.922948 + 0.532864i
\(592\) 2.87612 1.66053i 0.118208 0.0682472i
\(593\) 12.1677i 0.499666i 0.968289 + 0.249833i \(0.0803758\pi\)
−0.968289 + 0.249833i \(0.919624\pi\)
\(594\) 2.66279 0.109256
\(595\) 24.9649 1.02346
\(596\) 5.42862i 0.222365i
\(597\) −27.9585 −1.14427
\(598\) −13.5418 + 4.73447i −0.553766 + 0.193607i
\(599\) 21.9616 + 38.0386i 0.897327 + 1.55422i 0.830898 + 0.556425i \(0.187827\pi\)
0.0664296 + 0.997791i \(0.478839\pi\)
\(600\) −25.6770 14.8246i −1.04826 0.605212i
\(601\) 5.20462 0.212301 0.106150 0.994350i \(-0.466147\pi\)
0.106150 + 0.994350i \(0.466147\pi\)
\(602\) −5.68955 −0.231889
\(603\) −19.2047 11.0878i −0.782075 0.451531i
\(604\) 5.63382 + 3.25269i 0.229237 + 0.132350i
\(605\) 35.8159 + 20.6783i 1.45612 + 0.840693i
\(606\) −12.9685 7.48738i −0.526810 0.304154i
\(607\) −32.7058 −1.32749 −0.663743 0.747960i \(-0.731033\pi\)
−0.663743 + 0.747960i \(0.731033\pi\)
\(608\) −21.1083 −0.856056
\(609\) −16.9113 9.76373i −0.685279 0.395646i
\(610\) −6.98596 12.1000i −0.282853 0.489916i
\(611\) −5.61376 4.83362i −0.227109 0.195547i
\(612\) −6.68483 −0.270218
\(613\) 16.2246i 0.655307i −0.944798 0.327653i \(-0.893742\pi\)
0.944798 0.327653i \(-0.106258\pi\)
\(614\) 24.9960 1.00876
\(615\) 26.4178 1.06527
\(616\) 4.08668i 0.164657i
\(617\) −7.15796 + 4.13265i −0.288169 + 0.166374i −0.637116 0.770768i \(-0.719873\pi\)
0.348947 + 0.937142i \(0.386539\pi\)
\(618\) −0.767949 0.443375i −0.0308914 0.0178352i
\(619\) 33.8112i 1.35899i −0.733681 0.679494i \(-0.762200\pi\)
0.733681 0.679494i \(-0.237800\pi\)
\(620\) 29.2209 + 0.161806i 1.17354 + 0.00649829i
\(621\) 12.7783 + 22.1327i 0.512776 + 0.888154i
\(622\) −8.82594 + 5.09566i −0.353888 + 0.204317i
\(623\) −2.89445 + 5.01333i −0.115964 + 0.200855i
\(624\) 1.89539 + 0.359146i 0.0758765 + 0.0143774i
\(625\) −14.2067 24.6068i −0.568269 0.984271i
\(626\) 19.8502i 0.793376i
\(627\) −2.46004 −0.0982444
\(628\) 8.53416 14.7816i 0.340550 0.589850i
\(629\) 15.4488 8.91936i 0.615984 0.355638i
\(630\) 13.9501i 0.555785i
\(631\) 21.6102i 0.860287i −0.902761 0.430143i \(-0.858463\pi\)
0.902761 0.430143i \(-0.141537\pi\)
\(632\) 10.1367 + 5.85244i 0.403217 + 0.232797i
\(633\) 2.29284 0.0911322
\(634\) −11.9795 −0.475768
\(635\) −55.6766 + 32.1449i −2.20946 + 1.27563i
\(636\) −10.5177 −0.417052
\(637\) −1.56144 4.46612i −0.0618665 0.176954i
\(638\) 1.95771 + 3.39086i 0.0775065 + 0.134245i
\(639\) 16.5152i 0.653333i
\(640\) 16.8453 29.1769i 0.665868 1.15332i
\(641\) −40.9908 −1.61904 −0.809520 0.587092i \(-0.800273\pi\)
−0.809520 + 0.587092i \(0.800273\pi\)
\(642\) −2.04478 + 1.18055i −0.0807011 + 0.0465928i
\(643\) −13.1726 7.60518i −0.519475 0.299919i 0.217245 0.976117i \(-0.430293\pi\)
−0.736720 + 0.676198i \(0.763626\pi\)
\(644\) 13.6588 7.88590i 0.538231 0.310748i
\(645\) −10.6708 6.16082i −0.420164 0.242582i
\(646\) −7.87656 −0.309899
\(647\) 1.35271 + 2.34297i 0.0531807 + 0.0921116i 0.891390 0.453237i \(-0.149731\pi\)
−0.838210 + 0.545348i \(0.816397\pi\)
\(648\) 0.0299170i 0.00117525i
\(649\) −5.44373 −0.213685
\(650\) −22.6071 19.4654i −0.886725 0.763496i
\(651\) 7.04395 + 12.3580i 0.276074 + 0.484348i
\(652\) 14.5731 8.41379i 0.570727 0.329510i
\(653\) −7.68690 13.3141i −0.300812 0.521021i 0.675508 0.737352i \(-0.263924\pi\)
−0.976320 + 0.216331i \(0.930591\pi\)
\(654\) −0.437853 0.758384i −0.0171214 0.0296552i
\(655\) 62.6000i 2.44599i
\(656\) 3.15680i 0.123252i
\(657\) −9.29054 + 5.36390i −0.362459 + 0.209266i
\(658\) −3.43416 1.98271i −0.133878 0.0772942i
\(659\) 5.58255 9.66926i 0.217465 0.376661i −0.736567 0.676364i \(-0.763554\pi\)
0.954032 + 0.299704i \(0.0968878\pi\)
\(660\) 1.77941 3.08202i 0.0692633 0.119968i
\(661\) 7.02696 + 4.05702i 0.273317 + 0.157800i 0.630394 0.776275i \(-0.282893\pi\)
−0.357077 + 0.934075i \(0.616227\pi\)
\(662\) −4.62007 8.00219i −0.179564 0.311014i
\(663\) 10.1809 + 1.92912i 0.395395 + 0.0749209i
\(664\) 15.6267 + 27.0662i 0.606433 + 1.05037i
\(665\) 33.7595i 1.30914i
\(666\) 4.98403 + 8.63259i 0.193127 + 0.334506i
\(667\) −18.7895 + 32.5444i −0.727533 + 1.26012i
\(668\) 9.36741 + 5.40828i 0.362436 + 0.209253i
\(669\) 14.0609i 0.543625i
\(670\) 32.7353 18.8997i 1.26468 0.730161i
\(671\) 2.42566 1.40046i 0.0936415 0.0540640i
\(672\) 14.8646 0.573416
\(673\) 18.0527 31.2682i 0.695881 1.20530i −0.274001 0.961729i \(-0.588347\pi\)
0.969883 0.243572i \(-0.0783194\pi\)
\(674\) 8.99993 5.19611i 0.346664 0.200147i
\(675\) −26.5734 + 46.0264i −1.02281 + 1.77156i
\(676\) 16.2741 + 6.39703i 0.625926 + 0.246040i
\(677\) 15.3266 + 26.5465i 0.589049 + 1.02026i 0.994357 + 0.106083i \(0.0338309\pi\)
−0.405308 + 0.914180i \(0.632836\pi\)
\(678\) 0.123855 0.0715076i 0.00475661 0.00274623i
\(679\) −39.2637 −1.50680
\(680\) 14.1686 24.5407i 0.543340 0.941092i
\(681\) 27.9412i 1.07071i
\(682\) 0.0157930 2.85210i 0.000604746 0.109212i
\(683\) −7.44778 4.29998i −0.284982 0.164534i 0.350695 0.936490i \(-0.385945\pi\)
−0.635676 + 0.771956i \(0.719279\pi\)
\(684\) 9.03974i 0.345643i
\(685\) −24.2468 41.9967i −0.926424 1.60461i
\(686\) −8.02136 13.8934i −0.306257 0.530452i
\(687\) 23.5669 + 13.6064i 0.899134 + 0.519116i
\(688\) 0.736187 1.27511i 0.0280669 0.0486133i
\(689\) −25.8579 4.89966i −0.985109 0.186662i
\(690\) −16.6303 −0.633103
\(691\) −19.6393 11.3387i −0.747113 0.431346i 0.0775367 0.996990i \(-0.475295\pi\)
−0.824650 + 0.565643i \(0.808628\pi\)
\(692\) 11.7467 20.3459i 0.446544 0.773436i
\(693\) −2.79653 −0.106232
\(694\) 2.66352 + 1.53779i 0.101106 + 0.0583736i
\(695\) 3.99095i 0.151385i
\(696\) −19.1956 + 11.0826i −0.727608 + 0.420085i
\(697\) 16.9564i 0.642271i
\(698\) −6.35019 + 10.9989i −0.240358 + 0.416313i
\(699\) −22.9303 −0.867305
\(700\) 28.4044 + 16.3993i 1.07358 + 0.619834i
\(701\) −6.95569 + 12.0476i −0.262713 + 0.455032i −0.966962 0.254921i \(-0.917950\pi\)
0.704249 + 0.709953i \(0.251284\pi\)
\(702\) −2.82371 + 14.9021i −0.106574 + 0.562444i
\(703\) −12.0615 20.8910i −0.454906 0.787921i
\(704\) −2.03358 1.17409i −0.0766434 0.0442501i
\(705\) −4.29389 7.43723i −0.161717 0.280102i
\(706\) 5.74355 + 9.94812i 0.216161 + 0.374402i
\(707\) 35.6770 + 20.5981i 1.34177 + 0.774672i
\(708\) 12.3918i 0.465711i
\(709\) −45.8256 26.4574i −1.72102 0.993630i −0.916855 0.399221i \(-0.869281\pi\)
−0.804163 0.594409i \(-0.797386\pi\)
\(710\) 24.3795 + 14.0755i 0.914947 + 0.528245i
\(711\) 4.00485 6.93660i 0.150194 0.260143i
\(712\) 3.28542 + 5.69052i 0.123126 + 0.213261i
\(713\) 23.7820 13.5555i 0.890642 0.507658i
\(714\) 5.54674 0.207581
\(715\) 5.81048 6.74829i 0.217300 0.252372i
\(716\) 8.01791 13.8874i 0.299643 0.518997i
\(717\) −4.83270 + 2.79016i −0.180481 + 0.104201i
\(718\) −5.38231 + 9.32244i −0.200866 + 0.347910i
\(719\) −18.8780 32.6976i −0.704030 1.21942i −0.967040 0.254623i \(-0.918049\pi\)
0.263010 0.964793i \(-0.415285\pi\)
\(720\) −3.12643 1.80504i −0.116515 0.0672700i
\(721\) 2.11266 + 1.21974i 0.0786796 + 0.0454257i
\(722\) 4.72470i 0.175835i
\(723\) 16.2231 9.36639i 0.603342 0.348340i
\(724\) 11.6993 0.434801
\(725\) −78.1481 −2.90235
\(726\) 7.95762 + 4.59433i 0.295335 + 0.170512i
\(727\) −5.79440 + 10.0362i −0.214902 + 0.372222i −0.953242 0.302207i \(-0.902277\pi\)
0.738340 + 0.674429i \(0.235610\pi\)
\(728\) 22.8708 + 4.33365i 0.847650 + 0.160616i
\(729\) 16.7257 0.619471
\(730\) 18.2861i 0.676797i
\(731\) 3.95436 6.84916i 0.146257 0.253325i
\(732\) 3.18791 + 5.52162i 0.117829 + 0.204085i
\(733\) −1.54304 + 0.890877i −0.0569936 + 0.0329053i −0.528226 0.849104i \(-0.677143\pi\)
0.471232 + 0.882009i \(0.343809\pi\)
\(734\) 7.80385i 0.288046i
\(735\) 5.48470i 0.202306i
\(736\) 28.6058i 1.05442i
\(737\) 3.78878 + 6.56236i 0.139561 + 0.241727i
\(738\) −9.47504 −0.348781
\(739\) −28.2440 16.3067i −1.03897 0.599851i −0.119430 0.992843i \(-0.538107\pi\)
−0.919542 + 0.392992i \(0.871440\pi\)
\(740\) 34.8974 1.28285
\(741\) 2.60871 13.7674i 0.0958332 0.505760i
\(742\) −14.0878 −0.517180
\(743\) −12.2344 + 7.06352i −0.448835 + 0.259135i −0.707338 0.706875i \(-0.750104\pi\)
0.258503 + 0.966011i \(0.416771\pi\)
\(744\) 16.1457 + 0.0894042i 0.591931 + 0.00327772i
\(745\) −7.87362 + 13.6375i −0.288467 + 0.499640i
\(746\) 2.90024i 0.106186i
\(747\) 18.5215 10.6934i 0.677668 0.391252i
\(748\) 1.97822 + 1.14212i 0.0723308 + 0.0417602i
\(749\) 5.62528 3.24776i 0.205543 0.118670i
\(750\) −8.83554 15.3036i −0.322628 0.558809i
\(751\) 7.19301 0.262477 0.131238 0.991351i \(-0.458105\pi\)
0.131238 + 0.991351i \(0.458105\pi\)
\(752\) 0.888713 0.513099i 0.0324080 0.0187108i
\(753\) 9.69466 + 16.7916i 0.353293 + 0.611921i
\(754\) −21.0527 + 7.36043i −0.766695 + 0.268051i
\(755\) 9.43533 + 16.3425i 0.343387 + 0.594763i
\(756\) 16.6752i 0.606471i
\(757\) −5.69246 + 9.85962i −0.206896 + 0.358354i −0.950735 0.310004i \(-0.899669\pi\)
0.743839 + 0.668359i \(0.233003\pi\)
\(758\) −10.6437 18.4355i −0.386597 0.669606i
\(759\) 3.33382i 0.121010i
\(760\) −33.1858 19.1598i −1.20378 0.695000i
\(761\) −31.1182 + 17.9661i −1.12803 + 0.651271i −0.943440 0.331544i \(-0.892430\pi\)
−0.184594 + 0.982815i \(0.559097\pi\)
\(762\) −12.3703 + 7.14199i −0.448128 + 0.258727i
\(763\) 1.20455 + 2.08635i 0.0436078 + 0.0755308i
\(764\) −5.14912 + 8.91855i −0.186289 + 0.322662i
\(765\) −16.7933 9.69562i −0.607163 0.350546i