Properties

Label 819.2.fy.a.50.16
Level $819$
Weight $2$
Character 819.50
Analytic conductor $6.540$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 819 = 3^{2} \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 819.fy (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.53974792554\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(84\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 50.16
Character \(\chi\) \(=\) 819.50
Dual form 819.2.fy.a.344.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.541434 - 2.02066i) q^{2} +(1.72494 + 0.156795i) q^{3} +(-2.05786 + 1.18811i) q^{4} +(-1.05055 - 3.92071i) q^{5} +(-0.617111 - 3.57041i) q^{6} +(-0.707107 + 0.707107i) q^{7} +(0.556508 + 0.556508i) q^{8} +(2.95083 + 0.540924i) q^{9} +O(q^{10})\) \(q+(-0.541434 - 2.02066i) q^{2} +(1.72494 + 0.156795i) q^{3} +(-2.05786 + 1.18811i) q^{4} +(-1.05055 - 3.92071i) q^{5} +(-0.617111 - 3.57041i) q^{6} +(-0.707107 + 0.707107i) q^{7} +(0.556508 + 0.556508i) q^{8} +(2.95083 + 0.540924i) q^{9} +(-7.35361 + 4.24561i) q^{10} +(3.17590 - 0.850980i) q^{11} +(-3.73598 + 1.72675i) q^{12} +(2.04474 - 2.96968i) q^{13} +(1.81167 + 1.04597i) q^{14} +(-1.19739 - 6.92770i) q^{15} +(-1.55302 + 2.68990i) q^{16} +(2.15361 - 3.73016i) q^{17} +(-0.504656 - 6.25550i) q^{18} +(-1.59384 + 0.427069i) q^{19} +(6.82011 + 6.82011i) q^{20} +(-1.33059 + 1.10885i) q^{21} +(-3.43908 - 5.95666i) q^{22} -7.24903 q^{23} +(0.872684 + 1.04720i) q^{24} +(-9.93815 + 5.73779i) q^{25} +(-7.10781 - 2.52384i) q^{26} +(5.00519 + 1.39574i) q^{27} +(0.615010 - 2.29525i) q^{28} +(2.76216 + 1.59473i) q^{29} +(-13.3502 + 6.17040i) q^{30} +(0.464434 - 0.124445i) q^{31} +(7.79664 + 2.08910i) q^{32} +(5.61166 - 0.969923i) q^{33} +(-8.70343 - 2.33208i) q^{34} +(3.51521 + 2.02951i) q^{35} +(-6.71508 + 2.39276i) q^{36} +(0.157111 + 0.0420979i) q^{37} +(1.72592 + 2.98939i) q^{38} +(3.99269 - 4.80192i) q^{39} +(1.59726 - 2.76654i) q^{40} +(-2.73381 + 2.73381i) q^{41} +(2.96102 + 2.08830i) q^{42} +2.53864i q^{43} +(-5.52451 + 5.52451i) q^{44} +(-0.979190 - 12.1376i) q^{45} +(3.92487 + 14.6478i) q^{46} +(-0.853614 + 3.18573i) q^{47} +(-3.10062 + 4.39641i) q^{48} -1.00000i q^{49} +(16.9750 + 16.9750i) q^{50} +(4.29972 - 6.09663i) q^{51} +(-0.679500 + 8.54058i) q^{52} +9.42441i q^{53} +(0.110330 - 10.8695i) q^{54} +(-6.67288 - 11.5578i) q^{55} -0.787021 q^{56} +(-2.81625 + 0.486761i) q^{57} +(1.72689 - 6.44483i) q^{58} +(2.75423 - 10.2789i) q^{59} +(10.6949 + 12.8336i) q^{60} -10.3465 q^{61} +(-0.502921 - 0.871085i) q^{62} +(-2.46904 + 1.70406i) q^{63} -10.6734i q^{64} +(-13.7914 - 4.89704i) q^{65} +(-4.99823 - 10.8141i) q^{66} +(8.83286 + 8.83286i) q^{67} +10.2349i q^{68} +(-12.5041 - 1.13661i) q^{69} +(2.19769 - 8.20188i) q^{70} +(-2.18019 - 8.13660i) q^{71} +(1.34113 + 1.94319i) q^{72} +(9.88411 - 9.88411i) q^{73} -0.340262i q^{74} +(-18.0424 + 8.33909i) q^{75} +(2.77251 - 2.77251i) q^{76} +(-1.64397 + 2.84743i) q^{77} +(-11.8648 - 5.46795i) q^{78} +(-2.64152 - 4.57524i) q^{79} +(12.1778 + 3.26304i) q^{80} +(8.41480 + 3.19235i) q^{81} +(7.00427 + 4.04391i) q^{82} +(2.19185 + 0.587305i) q^{83} +(1.42074 - 3.86273i) q^{84} +(-16.8874 - 4.52495i) q^{85} +(5.12973 - 1.37451i) q^{86} +(4.51451 + 3.18391i) q^{87} +(2.24099 + 1.29384i) q^{88} +(2.53372 - 9.45596i) q^{89} +(-23.9958 + 8.55032i) q^{90} +(0.654031 + 3.54574i) q^{91} +(14.9175 - 8.61263i) q^{92} +(0.820633 - 0.141839i) q^{93} +6.89945 q^{94} +(3.34883 + 5.80034i) q^{95} +(13.1212 + 4.82605i) q^{96} +(10.5814 + 10.5814i) q^{97} +(-2.02066 + 0.541434i) q^{98} +(9.83186 - 0.793176i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q - 12 q^{6} + 36 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 336 q - 12 q^{6} + 36 q^{8} - 12 q^{11} + 4 q^{15} + 168 q^{16} - 4 q^{18} - 4 q^{21} + 8 q^{24} - 96 q^{26} + 24 q^{27} - 120 q^{30} - 72 q^{32} + 36 q^{33} + 72 q^{38} + 8 q^{39} - 48 q^{41} - 76 q^{45} + 24 q^{48} - 24 q^{50} - 36 q^{52} + 72 q^{54} + 32 q^{57} + 36 q^{58} - 72 q^{59} + 4 q^{60} + 36 q^{62} - 8 q^{63} - 72 q^{65} - 20 q^{66} - 48 q^{71} - 176 q^{72} - 60 q^{75} - 124 q^{78} - 12 q^{79} - 96 q^{80} - 20 q^{81} - 156 q^{83} - 12 q^{84} - 108 q^{85} - 24 q^{87} + 60 q^{89} - 72 q^{92} + 20 q^{93} + 96 q^{94} + 88 q^{96} - 96 q^{97} + 108 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(379\) \(703\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{7}{12}\right)\) \(1\)

Coefficient data

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.541434 2.02066i −0.382852 1.42882i −0.841526 0.540217i \(-0.818342\pi\)
0.458674 0.888605i \(-0.348325\pi\)
\(3\) 1.72494 + 0.156795i 0.995894 + 0.0905257i
\(4\) −2.05786 + 1.18811i −1.02893 + 0.594054i
\(5\) −1.05055 3.92071i −0.469820 1.75339i −0.640393 0.768048i \(-0.721228\pi\)
0.170572 0.985345i \(-0.445438\pi\)
\(6\) −0.617111 3.57041i −0.251935 1.45761i
\(7\) −0.707107 + 0.707107i −0.267261 + 0.267261i
\(8\) 0.556508 + 0.556508i 0.196755 + 0.196755i
\(9\) 2.95083 + 0.540924i 0.983610 + 0.180308i
\(10\) −7.35361 + 4.24561i −2.32541 + 1.34258i
\(11\) 3.17590 0.850980i 0.957570 0.256580i 0.253998 0.967205i \(-0.418254\pi\)
0.703571 + 0.710625i \(0.251588\pi\)
\(12\) −3.73598 + 1.72675i −1.07848 + 0.498470i
\(13\) 2.04474 2.96968i 0.567110 0.823642i
\(14\) 1.81167 + 1.04597i 0.484190 + 0.279547i
\(15\) −1.19739 6.92770i −0.309164 1.78872i
\(16\) −1.55302 + 2.68990i −0.388254 + 0.672475i
\(17\) 2.15361 3.73016i 0.522328 0.904698i −0.477335 0.878721i \(-0.658397\pi\)
0.999663 0.0259764i \(-0.00826948\pi\)
\(18\) −0.504656 6.25550i −0.118949 1.47444i
\(19\) −1.59384 + 0.427069i −0.365653 + 0.0979764i −0.436967 0.899478i \(-0.643947\pi\)
0.0713142 + 0.997454i \(0.477281\pi\)
\(20\) 6.82011 + 6.82011i 1.52502 + 1.52502i
\(21\) −1.33059 + 1.10885i −0.290358 + 0.241970i
\(22\) −3.43908 5.95666i −0.733214 1.26996i
\(23\) −7.24903 −1.51153 −0.755764 0.654845i \(-0.772734\pi\)
−0.755764 + 0.654845i \(0.772734\pi\)
\(24\) 0.872684 + 1.04720i 0.178136 + 0.213759i
\(25\) −9.93815 + 5.73779i −1.98763 + 1.14756i
\(26\) −7.10781 2.52384i −1.39396 0.494967i
\(27\) 5.00519 + 1.39574i 0.963249 + 0.268610i
\(28\) 0.615010 2.29525i 0.116226 0.433761i
\(29\) 2.76216 + 1.59473i 0.512920 + 0.296135i 0.734033 0.679114i \(-0.237636\pi\)
−0.221113 + 0.975248i \(0.570969\pi\)
\(30\) −13.3502 + 6.17040i −2.43741 + 1.12656i
\(31\) 0.464434 0.124445i 0.0834148 0.0223509i −0.216870 0.976200i \(-0.569585\pi\)
0.300285 + 0.953850i \(0.402918\pi\)
\(32\) 7.79664 + 2.08910i 1.37826 + 0.369305i
\(33\) 5.61166 0.969923i 0.976865 0.168842i
\(34\) −8.70343 2.33208i −1.49263 0.399948i
\(35\) 3.51521 + 2.02951i 0.594179 + 0.343049i
\(36\) −6.71508 + 2.39276i −1.11918 + 0.398793i
\(37\) 0.157111 + 0.0420979i 0.0258290 + 0.00692085i 0.271710 0.962379i \(-0.412411\pi\)
−0.245881 + 0.969300i \(0.579077\pi\)
\(38\) 1.72592 + 2.98939i 0.279982 + 0.484942i
\(39\) 3.99269 4.80192i 0.639342 0.768922i
\(40\) 1.59726 2.76654i 0.252550 0.437429i
\(41\) −2.73381 + 2.73381i −0.426949 + 0.426949i −0.887588 0.460639i \(-0.847620\pi\)
0.460639 + 0.887588i \(0.347620\pi\)
\(42\) 2.96102 + 2.08830i 0.456896 + 0.322231i
\(43\) 2.53864i 0.387140i 0.981087 + 0.193570i \(0.0620066\pi\)
−0.981087 + 0.193570i \(0.937993\pi\)
\(44\) −5.52451 + 5.52451i −0.832851 + 0.832851i
\(45\) −0.979190 12.1376i −0.145969 1.80937i
\(46\) 3.92487 + 14.6478i 0.578691 + 2.15970i
\(47\) −0.853614 + 3.18573i −0.124512 + 0.464687i −0.999822 0.0188767i \(-0.993991\pi\)
0.875309 + 0.483563i \(0.160658\pi\)
\(48\) −3.10062 + 4.39641i −0.447536 + 0.634567i
\(49\) 1.00000i 0.142857i
\(50\) 16.9750 + 16.9750i 2.40063 + 2.40063i
\(51\) 4.29972 6.09663i 0.602081 0.853699i
\(52\) −0.679500 + 8.54058i −0.0942297 + 1.18437i
\(53\) 9.42441i 1.29454i 0.762260 + 0.647271i \(0.224090\pi\)
−0.762260 + 0.647271i \(0.775910\pi\)
\(54\) 0.110330 10.8695i 0.0150141 1.47915i
\(55\) −6.67288 11.5578i −0.899771 1.55845i
\(56\) −0.787021 −0.105170
\(57\) −2.81625 + 0.486761i −0.373021 + 0.0644731i
\(58\) 1.72689 6.44483i 0.226751 0.846247i
\(59\) 2.75423 10.2789i 0.358571 1.33820i −0.517361 0.855767i \(-0.673085\pi\)
0.875931 0.482436i \(-0.160248\pi\)
\(60\) 10.6949 + 12.8336i 1.38071 + 1.65681i
\(61\) −10.3465 −1.32474 −0.662369 0.749177i \(-0.730449\pi\)
−0.662369 + 0.749177i \(0.730449\pi\)
\(62\) −0.502921 0.871085i −0.0638710 0.110628i
\(63\) −2.46904 + 1.70406i −0.311070 + 0.214692i
\(64\) 10.6734i 1.33417i
\(65\) −13.7914 4.89704i −1.71061 0.607403i
\(66\) −4.99823 10.8141i −0.615239 1.33113i
\(67\) 8.83286 + 8.83286i 1.07911 + 1.07911i 0.996590 + 0.0825159i \(0.0262955\pi\)
0.0825159 + 0.996590i \(0.473704\pi\)
\(68\) 10.2349i 1.24116i
\(69\) −12.5041 1.13661i −1.50532 0.136832i
\(70\) 2.19769 8.20188i 0.262674 0.980313i
\(71\) −2.18019 8.13660i −0.258742 0.965637i −0.965971 0.258652i \(-0.916722\pi\)
0.707229 0.706984i \(-0.249945\pi\)
\(72\) 1.34113 + 1.94319i 0.158054 + 0.229007i
\(73\) 9.88411 9.88411i 1.15685 1.15685i 0.171697 0.985150i \(-0.445075\pi\)
0.985150 0.171697i \(-0.0549251\pi\)
\(74\) 0.340262i 0.0395547i
\(75\) −18.0424 + 8.33909i −2.08335 + 0.962915i
\(76\) 2.77251 2.77251i 0.318028 0.318028i
\(77\) −1.64397 + 2.84743i −0.187347 + 0.324495i
\(78\) −11.8648 5.46795i −1.34343 0.619123i
\(79\) −2.64152 4.57524i −0.297194 0.514755i 0.678299 0.734786i \(-0.262717\pi\)
−0.975493 + 0.220031i \(0.929384\pi\)
\(80\) 12.1778 + 3.26304i 1.36152 + 0.364819i
\(81\) 8.41480 + 3.19235i 0.934978 + 0.354706i
\(82\) 7.00427 + 4.04391i 0.773492 + 0.446576i
\(83\) 2.19185 + 0.587305i 0.240587 + 0.0644651i 0.377098 0.926174i \(-0.376922\pi\)
−0.136511 + 0.990639i \(0.543589\pi\)
\(84\) 1.42074 3.86273i 0.155015 0.421459i
\(85\) −16.8874 4.52495i −1.83169 0.490800i
\(86\) 5.12973 1.37451i 0.553154 0.148217i
\(87\) 4.51451 + 3.18391i 0.484006 + 0.341351i
\(88\) 2.24099 + 1.29384i 0.238890 + 0.137923i
\(89\) 2.53372 9.45596i 0.268573 1.00233i −0.691453 0.722421i \(-0.743029\pi\)
0.960027 0.279908i \(-0.0903041\pi\)
\(90\) −23.9958 + 8.55032i −2.52938 + 0.901283i
\(91\) 0.654031 + 3.54574i 0.0685610 + 0.371694i
\(92\) 14.9175 8.61263i 1.55526 0.897929i
\(93\) 0.820633 0.141839i 0.0850957 0.0147080i
\(94\) 6.89945 0.711624
\(95\) 3.34883 + 5.80034i 0.343582 + 0.595102i
\(96\) 13.1212 + 4.82605i 1.33917 + 0.492557i
\(97\) 10.5814 + 10.5814i 1.07438 + 1.07438i 0.997002 + 0.0773739i \(0.0246535\pi\)
0.0773739 + 0.997002i \(0.475346\pi\)
\(98\) −2.02066 + 0.541434i −0.204117 + 0.0546931i
\(99\) 9.83186 0.793176i 0.988139 0.0797172i
\(100\) 13.6342 23.6152i 1.36342 2.36152i
\(101\) −3.74115 + 6.47987i −0.372259 + 0.644771i −0.989913 0.141679i \(-0.954750\pi\)
0.617654 + 0.786450i \(0.288083\pi\)
\(102\) −14.6472 5.38735i −1.45029 0.533427i
\(103\) 1.72553 + 0.996235i 0.170022 + 0.0981620i 0.582596 0.812762i \(-0.302037\pi\)
−0.412574 + 0.910924i \(0.635370\pi\)
\(104\) 2.79057 0.514735i 0.273638 0.0504740i
\(105\) 5.74530 + 4.05194i 0.560684 + 0.395429i
\(106\) 19.0435 5.10270i 1.84967 0.495618i
\(107\) 14.0693 8.12290i 1.36013 0.785270i 0.370487 0.928838i \(-0.379191\pi\)
0.989641 + 0.143567i \(0.0458574\pi\)
\(108\) −11.9583 + 3.07447i −1.15069 + 0.295841i
\(109\) −0.990101 0.990101i −0.0948345 0.0948345i 0.658098 0.752932i \(-0.271361\pi\)
−0.752932 + 0.658098i \(0.771361\pi\)
\(110\) −19.7414 + 19.7414i −1.88227 + 1.88227i
\(111\) 0.264407 + 0.0972506i 0.0250964 + 0.00923062i
\(112\) −0.803900 3.00020i −0.0759614 0.283492i
\(113\) −1.70953 + 0.986996i −0.160819 + 0.0928488i −0.578250 0.815860i \(-0.696264\pi\)
0.417431 + 0.908709i \(0.362931\pi\)
\(114\) 2.50839 + 5.42713i 0.234932 + 0.508297i
\(115\) 7.61547 + 28.4213i 0.710146 + 2.65030i
\(116\) −7.57886 −0.703680
\(117\) 7.64007 7.65698i 0.706325 0.707888i
\(118\) −22.2615 −2.04933
\(119\) 1.11479 + 4.16046i 0.102193 + 0.381389i
\(120\) 3.18896 4.52167i 0.291111 0.412770i
\(121\) −0.164108 + 0.0947479i −0.0149189 + 0.00861344i
\(122\) 5.60197 + 20.9068i 0.507178 + 1.89282i
\(123\) −5.14430 + 4.28700i −0.463846 + 0.386546i
\(124\) −0.807888 + 0.807888i −0.0725505 + 0.0725505i
\(125\) 18.5860 + 18.5860i 1.66238 + 1.66238i
\(126\) 4.78015 + 4.06646i 0.425850 + 0.362269i
\(127\) 11.3333 6.54328i 1.00567 0.580622i 0.0957471 0.995406i \(-0.469476\pi\)
0.909920 + 0.414783i \(0.136143\pi\)
\(128\) −5.97403 + 1.60074i −0.528035 + 0.141486i
\(129\) −0.398047 + 4.37901i −0.0350461 + 0.385550i
\(130\) −2.42814 + 30.5191i −0.212962 + 2.67670i
\(131\) 10.7120 + 6.18459i 0.935914 + 0.540350i 0.888677 0.458534i \(-0.151625\pi\)
0.0472367 + 0.998884i \(0.484958\pi\)
\(132\) −10.3957 + 8.66323i −0.904826 + 0.754037i
\(133\) 0.825034 1.42900i 0.0715395 0.123910i
\(134\) 13.0658 22.6306i 1.12871 1.95499i
\(135\) 0.214075 21.0902i 0.0184247 1.81515i
\(136\) 3.27437 0.877364i 0.280775 0.0752333i
\(137\) −13.0588 13.0588i −1.11569 1.11569i −0.992366 0.123326i \(-0.960644\pi\)
−0.123326 0.992366i \(-0.539356\pi\)
\(138\) 4.47346 + 25.8820i 0.380806 + 2.20322i
\(139\) −0.659249 1.14185i −0.0559168 0.0968508i 0.836712 0.547643i \(-0.184475\pi\)
−0.892629 + 0.450792i \(0.851141\pi\)
\(140\) −9.64509 −0.815159
\(141\) −1.97194 + 5.36135i −0.166067 + 0.451507i
\(142\) −15.2609 + 8.81086i −1.28066 + 0.739391i
\(143\) 3.96676 11.1715i 0.331717 0.934204i
\(144\) −6.03772 + 7.09738i −0.503143 + 0.591448i
\(145\) 3.35069 12.5050i 0.278260 1.03848i
\(146\) −25.3240 14.6208i −2.09583 1.21003i
\(147\) 0.156795 1.72494i 0.0129322 0.142271i
\(148\) −0.373331 + 0.100034i −0.0306876 + 0.00822272i
\(149\) −8.96695 2.40269i −0.734602 0.196836i −0.127924 0.991784i \(-0.540831\pi\)
−0.606677 + 0.794948i \(0.707498\pi\)
\(150\) 26.6192 + 31.9424i 2.17345 + 2.60809i
\(151\) 3.74491 + 1.00345i 0.304756 + 0.0816592i 0.407956 0.913001i \(-0.366242\pi\)
−0.103200 + 0.994661i \(0.532908\pi\)
\(152\) −1.12465 0.649319i −0.0912214 0.0526667i
\(153\) 8.37268 9.84214i 0.676891 0.795690i
\(154\) 6.64379 + 1.78020i 0.535372 + 0.143453i
\(155\) −0.975822 1.69017i −0.0783799 0.135758i
\(156\) −2.51122 + 14.6254i −0.201058 + 1.17097i
\(157\) 9.10021 15.7620i 0.726276 1.25795i −0.232171 0.972675i \(-0.574583\pi\)
0.958447 0.285272i \(-0.0920839\pi\)
\(158\) −7.81480 + 7.81480i −0.621712 + 0.621712i
\(159\) −1.47770 + 16.2565i −0.117189 + 1.28923i
\(160\) 32.7630i 2.59014i
\(161\) 5.12584 5.12584i 0.403973 0.403973i
\(162\) 1.89460 18.7319i 0.148853 1.47172i
\(163\) −1.40519 5.24424i −0.110063 0.410761i 0.888807 0.458281i \(-0.151535\pi\)
−0.998870 + 0.0475206i \(0.984868\pi\)
\(164\) 2.37774 8.87385i 0.185670 0.692932i
\(165\) −9.69811 20.9827i −0.754997 1.63350i
\(166\) 4.74697i 0.368436i
\(167\) 11.2124 + 11.2124i 0.867641 + 0.867641i 0.992211 0.124570i \(-0.0397550\pi\)
−0.124570 + 0.992211i \(0.539755\pi\)
\(168\) −1.35756 0.123401i −0.104738 0.00952060i
\(169\) −4.63804 12.1445i −0.356772 0.934191i
\(170\) 36.5736i 2.80506i
\(171\) −4.93418 + 0.398060i −0.377326 + 0.0304404i
\(172\) −3.01618 5.22418i −0.229982 0.398340i
\(173\) −6.83393 −0.519574 −0.259787 0.965666i \(-0.583652\pi\)
−0.259787 + 0.965666i \(0.583652\pi\)
\(174\) 3.98929 10.8462i 0.302427 0.822246i
\(175\) 2.97010 11.0846i 0.224519 0.837915i
\(176\) −2.64317 + 9.86444i −0.199236 + 0.743560i
\(177\) 6.36257 17.2987i 0.478240 1.30025i
\(178\) −20.4791 −1.53497
\(179\) 9.09607 + 15.7549i 0.679872 + 1.17757i 0.975019 + 0.222121i \(0.0712980\pi\)
−0.295147 + 0.955452i \(0.595369\pi\)
\(180\) 16.4358 + 23.8141i 1.22505 + 1.77500i
\(181\) 24.9450i 1.85415i 0.374880 + 0.927074i \(0.377684\pi\)
−0.374880 + 0.927074i \(0.622316\pi\)
\(182\) 6.81061 3.24136i 0.504836 0.240265i
\(183\) −17.8472 1.62229i −1.31930 0.119923i
\(184\) −4.03414 4.03414i −0.297401 0.297401i
\(185\) 0.660214i 0.0485399i
\(186\) −0.730926 1.58142i −0.0535941 0.115956i
\(187\) 3.66536 13.6793i 0.268038 1.00033i
\(188\) −2.02837 7.56998i −0.147934 0.552098i
\(189\) −4.52614 + 2.55227i −0.329228 + 0.185650i
\(190\) 9.90733 9.90733i 0.718754 0.718754i
\(191\) 16.4181i 1.18797i −0.804475 0.593987i \(-0.797553\pi\)
0.804475 0.593987i \(-0.202447\pi\)
\(192\) 1.67354 18.4110i 0.120777 1.32870i
\(193\) 2.73582 2.73582i 0.196928 0.196928i −0.601754 0.798682i \(-0.705531\pi\)
0.798682 + 0.601754i \(0.205531\pi\)
\(194\) 15.6522 27.1105i 1.12377 1.94642i
\(195\) −23.0214 10.6095i −1.64860 0.759763i
\(196\) 1.18811 + 2.05786i 0.0848648 + 0.146990i
\(197\) −10.5597 2.82945i −0.752344 0.201590i −0.137787 0.990462i \(-0.543999\pi\)
−0.614558 + 0.788872i \(0.710665\pi\)
\(198\) −6.92604 19.4374i −0.492212 1.38135i
\(199\) 4.03921 + 2.33204i 0.286332 + 0.165314i 0.636287 0.771453i \(-0.280470\pi\)
−0.349954 + 0.936767i \(0.613803\pi\)
\(200\) −8.72378 2.33753i −0.616865 0.165288i
\(201\) 13.8512 + 16.6211i 0.976988 + 1.17236i
\(202\) 15.1192 + 4.05118i 1.06378 + 0.285040i
\(203\) −3.08079 + 0.825495i −0.216229 + 0.0579384i
\(204\) −1.60478 + 17.6546i −0.112357 + 1.23607i
\(205\) 13.5904 + 7.84645i 0.949198 + 0.548020i
\(206\) 1.07879 4.02610i 0.0751630 0.280512i
\(207\) −21.3907 3.92118i −1.48675 0.272541i
\(208\) 4.81264 + 10.1121i 0.333696 + 0.701150i
\(209\) −4.69846 + 2.71266i −0.324999 + 0.187638i
\(210\) 5.07689 13.8032i 0.350339 0.952509i
\(211\) 2.64721 0.182242 0.0911208 0.995840i \(-0.470955\pi\)
0.0911208 + 0.995840i \(0.470955\pi\)
\(212\) −11.1972 19.3941i −0.769028 1.33200i
\(213\) −2.48492 14.3770i −0.170264 0.985094i
\(214\) −24.0312 24.0312i −1.64274 1.64274i
\(215\) 9.95328 2.66697i 0.678808 0.181886i
\(216\) 2.00869 + 3.56216i 0.136674 + 0.242375i
\(217\) −0.240409 + 0.416400i −0.0163200 + 0.0282671i
\(218\) −1.46458 + 2.53673i −0.0991940 + 0.171809i
\(219\) 18.5993 15.4997i 1.25682 1.04737i
\(220\) 27.4638 + 15.8562i 1.85161 + 1.06903i
\(221\) −6.67382 14.0228i −0.448930 0.943274i
\(222\) 0.0533514 0.586931i 0.00358071 0.0393922i
\(223\) 1.38785 0.371874i 0.0929374 0.0249025i −0.212051 0.977259i \(-0.568014\pi\)
0.304988 + 0.952356i \(0.401348\pi\)
\(224\) −6.99027 + 4.03584i −0.467057 + 0.269656i
\(225\) −32.4295 + 11.5555i −2.16197 + 0.770365i
\(226\) 2.91998 + 2.91998i 0.194234 + 0.194234i
\(227\) 5.44603 5.44603i 0.361465 0.361465i −0.502887 0.864352i \(-0.667729\pi\)
0.864352 + 0.502887i \(0.167729\pi\)
\(228\) 5.21712 4.34769i 0.345512 0.287933i
\(229\) −6.33942 23.6590i −0.418921 1.56343i −0.776851 0.629685i \(-0.783184\pi\)
0.357930 0.933748i \(-0.383483\pi\)
\(230\) 53.3065 30.7765i 3.51493 2.02934i
\(231\) −3.28221 + 4.65388i −0.215953 + 0.306203i
\(232\) 0.649681 + 2.42464i 0.0426537 + 0.159186i
\(233\) −14.8951 −0.975807 −0.487904 0.872897i \(-0.662238\pi\)
−0.487904 + 0.872897i \(0.662238\pi\)
\(234\) −19.6087 11.2922i −1.28186 0.738196i
\(235\) 13.3871 0.873276
\(236\) 6.54465 + 24.4250i 0.426020 + 1.58993i
\(237\) −3.83908 8.30619i −0.249375 0.539545i
\(238\) 7.80328 4.50523i 0.505812 0.292031i
\(239\) 5.13836 + 19.1766i 0.332373 + 1.24043i 0.906689 + 0.421799i \(0.138601\pi\)
−0.574316 + 0.818634i \(0.694732\pi\)
\(240\) 20.4944 + 7.53797i 1.32291 + 0.486574i
\(241\) −10.0224 + 10.0224i −0.645597 + 0.645597i −0.951926 0.306329i \(-0.900899\pi\)
0.306329 + 0.951926i \(0.400899\pi\)
\(242\) 0.280307 + 0.280307i 0.0180188 + 0.0180188i
\(243\) 14.0145 + 6.82601i 0.899029 + 0.437889i
\(244\) 21.2918 12.2928i 1.36307 0.786966i
\(245\) −3.92071 + 1.05055i −0.250485 + 0.0671172i
\(246\) 11.4479 + 8.07374i 0.729889 + 0.514763i
\(247\) −1.99074 + 5.60646i −0.126668 + 0.356730i
\(248\) 0.327716 + 0.189207i 0.0208100 + 0.0120146i
\(249\) 3.68872 + 1.35674i 0.233763 + 0.0859797i
\(250\) 27.4928 47.6189i 1.73880 3.01169i
\(251\) 11.0554 19.1485i 0.697811 1.20864i −0.271413 0.962463i \(-0.587491\pi\)
0.969224 0.246181i \(-0.0791758\pi\)
\(252\) 3.05635 6.44021i 0.192532 0.405695i
\(253\) −23.0222 + 6.16878i −1.44739 + 0.387828i
\(254\) −19.3580 19.3580i −1.21463 1.21463i
\(255\) −28.4202 10.4531i −1.77974 0.654600i
\(256\) −4.20431 7.28208i −0.262770 0.455130i
\(257\) 8.47200 0.528469 0.264235 0.964458i \(-0.414881\pi\)
0.264235 + 0.964458i \(0.414881\pi\)
\(258\) 9.06400 1.56663i 0.564300 0.0975338i
\(259\) −0.140862 + 0.0813269i −0.00875276 + 0.00505341i
\(260\) 34.1989 6.30818i 2.12093 0.391217i
\(261\) 7.28803 + 6.19991i 0.451118 + 0.383765i
\(262\) 6.69709 24.9939i 0.413748 1.54413i
\(263\) 25.1765 + 14.5356i 1.55245 + 0.896306i 0.997942 + 0.0641250i \(0.0204256\pi\)
0.554505 + 0.832181i \(0.312908\pi\)
\(264\) 3.66270 + 2.58316i 0.225424 + 0.158983i
\(265\) 36.9503 9.90081i 2.26984 0.608202i
\(266\) −3.33423 0.893403i −0.204435 0.0547781i
\(267\) 5.85316 15.9137i 0.358207 0.973901i
\(268\) −28.6712 7.68243i −1.75137 0.469279i
\(269\) −7.29651 4.21264i −0.444876 0.256849i 0.260788 0.965396i \(-0.416018\pi\)
−0.705664 + 0.708547i \(0.749351\pi\)
\(270\) −42.7319 + 10.9864i −2.60058 + 0.668609i
\(271\) −5.26232 1.41004i −0.319663 0.0856536i 0.0954195 0.995437i \(-0.469581\pi\)
−0.415083 + 0.909784i \(0.636247\pi\)
\(272\) 6.68918 + 11.5860i 0.405591 + 0.702505i
\(273\) 0.572209 + 6.21873i 0.0346316 + 0.376375i
\(274\) −19.3170 + 33.4580i −1.16698 + 2.02127i
\(275\) −26.6798 + 26.6798i −1.60885 + 1.60885i
\(276\) 27.0822 12.5173i 1.63016 0.753451i
\(277\) 19.8269i 1.19128i −0.803250 0.595641i \(-0.796898\pi\)
0.803250 0.595641i \(-0.203102\pi\)
\(278\) −1.95036 + 1.95036i −0.116975 + 0.116975i
\(279\) 1.43778 0.115992i 0.0860777 0.00694424i
\(280\) 0.826804 + 3.08568i 0.0494110 + 0.184404i
\(281\) −2.01625 + 7.52476i −0.120280 + 0.448890i −0.999628 0.0272902i \(-0.991312\pi\)
0.879348 + 0.476180i \(0.157979\pi\)
\(282\) 11.9011 + 1.08180i 0.708702 + 0.0644203i
\(283\) 12.2082i 0.725705i 0.931847 + 0.362852i \(0.118197\pi\)
−0.931847 + 0.362852i \(0.881803\pi\)
\(284\) 14.1537 + 14.1537i 0.839867 + 0.839867i
\(285\) 4.86706 + 10.5303i 0.288299 + 0.623761i
\(286\) −24.7214 1.96687i −1.46181 0.116304i
\(287\) 3.86619i 0.228214i
\(288\) 21.8765 + 10.3820i 1.28909 + 0.611764i
\(289\) −0.776085 1.34422i −0.0456520 0.0790717i
\(290\) −27.0824 −1.59034
\(291\) 16.5931 + 19.9113i 0.972706 + 1.16722i
\(292\) −8.59675 + 32.0835i −0.503087 + 1.87755i
\(293\) 3.73016 13.9212i 0.217918 0.813282i −0.767200 0.641407i \(-0.778351\pi\)
0.985119 0.171875i \(-0.0549825\pi\)
\(294\) −3.57041 + 0.617111i −0.208230 + 0.0359907i
\(295\) −43.1941 −2.51486
\(296\) 0.0640059 + 0.110861i 0.00372027 + 0.00644369i
\(297\) 17.0837 + 0.173408i 0.991298 + 0.0100621i
\(298\) 19.4201i 1.12497i
\(299\) −14.8224 + 21.5273i −0.857202 + 1.24496i
\(300\) 27.2210 38.5970i 1.57160 2.22840i
\(301\) −1.79509 1.79509i −0.103467 0.103467i
\(302\) 8.11049i 0.466706i
\(303\) −7.46928 + 10.5908i −0.429099 + 0.608425i
\(304\) 1.32649 4.95053i 0.0760794 0.283932i
\(305\) 10.8696 + 40.5657i 0.622389 + 2.32279i
\(306\) −24.4209 11.5895i −1.39605 0.662525i
\(307\) −20.3301 + 20.3301i −1.16030 + 1.16030i −0.175888 + 0.984410i \(0.556280\pi\)
−0.984410 + 0.175888i \(0.943720\pi\)
\(308\) 7.81284i 0.445178i
\(309\) 2.82023 + 1.98900i 0.160437 + 0.113150i
\(310\) −2.88692 + 2.88692i −0.163966 + 0.163966i
\(311\) 11.5831 20.0625i 0.656817 1.13764i −0.324618 0.945845i \(-0.605236\pi\)
0.981435 0.191795i \(-0.0614310\pi\)
\(312\) 4.89427 0.450340i 0.277083 0.0254955i
\(313\) 16.1363 + 27.9488i 0.912076 + 1.57976i 0.811127 + 0.584869i \(0.198854\pi\)
0.100948 + 0.994892i \(0.467812\pi\)
\(314\) −36.7769 9.85433i −2.07544 0.556112i
\(315\) 9.27498 + 7.89019i 0.522586 + 0.444562i
\(316\) 10.8718 + 6.27682i 0.611585 + 0.353099i
\(317\) −6.07340 1.62736i −0.341116 0.0914017i 0.0841943 0.996449i \(-0.473168\pi\)
−0.425310 + 0.905048i \(0.639835\pi\)
\(318\) 33.6490 5.81591i 1.88694 0.326140i
\(319\) 10.1294 + 2.71417i 0.567139 + 0.151964i
\(320\) −41.8473 + 11.2129i −2.33933 + 0.626822i
\(321\) 25.5423 11.8055i 1.42563 0.658919i
\(322\) −13.1329 7.58227i −0.731867 0.422543i
\(323\) −1.83948 + 6.86504i −0.102352 + 0.381981i
\(324\) −21.1094 + 3.42827i −1.17274 + 0.190459i
\(325\) −3.28155 + 41.2455i −0.182028 + 2.28789i
\(326\) −9.83600 + 5.67882i −0.544766 + 0.314521i
\(327\) −1.55262 1.86311i −0.0858601 0.103030i
\(328\) −3.04277 −0.168009
\(329\) −1.64906 2.85625i −0.0909154 0.157470i
\(330\) −37.1481 + 30.9573i −2.04493 + 1.70415i
\(331\) 1.36308 + 1.36308i 0.0749219 + 0.0749219i 0.743575 0.668653i \(-0.233129\pi\)
−0.668653 + 0.743575i \(0.733129\pi\)
\(332\) −5.20831 + 1.39556i −0.285843 + 0.0765914i
\(333\) 0.440837 + 0.209209i 0.0241577 + 0.0114646i
\(334\) 16.5857 28.7272i 0.907527 1.57188i
\(335\) 25.3517 43.9104i 1.38511 2.39908i
\(336\) −0.916262 5.30120i −0.0499862 0.289204i
\(337\) 29.8719 + 17.2465i 1.62722 + 0.939478i 0.984916 + 0.173031i \(0.0553560\pi\)
0.642307 + 0.766447i \(0.277977\pi\)
\(338\) −22.0287 + 15.9473i −1.19820 + 0.867421i
\(339\) −3.10359 + 1.43446i −0.168564 + 0.0779093i
\(340\) 40.1280 10.7523i 2.17625 0.583123i
\(341\) 1.36910 0.790448i 0.0741407 0.0428052i
\(342\) 3.47587 + 9.75476i 0.187954 + 0.527477i
\(343\) 0.707107 + 0.707107i 0.0381802 + 0.0381802i
\(344\) −1.41277 + 1.41277i −0.0761717 + 0.0761717i
\(345\) 8.67989 + 50.2191i 0.467310 + 2.70371i
\(346\) 3.70012 + 13.8090i 0.198920 + 0.742379i
\(347\) 11.8014 6.81354i 0.633532 0.365770i −0.148587 0.988899i \(-0.547472\pi\)
0.782119 + 0.623130i \(0.214139\pi\)
\(348\) −13.0731 1.18833i −0.700790 0.0637011i
\(349\) 7.28102 + 27.1731i 0.389744 + 1.45454i 0.830551 + 0.556942i \(0.188026\pi\)
−0.440807 + 0.897602i \(0.645308\pi\)
\(350\) −24.0063 −1.28319
\(351\) 14.3792 12.0099i 0.767507 0.641041i
\(352\) 26.5391 1.41454
\(353\) −7.44675 27.7917i −0.396351 1.47920i −0.819468 0.573126i \(-0.805731\pi\)
0.423117 0.906075i \(-0.360936\pi\)
\(354\) −38.3997 3.49049i −2.04092 0.185517i
\(355\) −29.6108 + 17.0958i −1.57158 + 0.907351i
\(356\) 6.02066 + 22.4694i 0.319094 + 1.19088i
\(357\) 1.27061 + 7.35133i 0.0672477 + 0.389074i
\(358\) 26.9103 26.9103i 1.42225 1.42225i
\(359\) −14.8917 14.8917i −0.785956 0.785956i 0.194873 0.980829i \(-0.437571\pi\)
−0.980829 + 0.194873i \(0.937571\pi\)
\(360\) 6.20974 7.29960i 0.327282 0.384722i
\(361\) −14.0965 + 8.13864i −0.741923 + 0.428349i
\(362\) 50.4053 13.5061i 2.64925 0.709863i
\(363\) −0.297933 + 0.137703i −0.0156374 + 0.00722753i
\(364\) −5.55862 6.51958i −0.291351 0.341719i
\(365\) −49.1364 28.3689i −2.57192 1.48490i
\(366\) 6.38497 + 36.9414i 0.333747 + 1.93096i
\(367\) −16.2224 + 28.0981i −0.846805 + 1.46671i 0.0372402 + 0.999306i \(0.488143\pi\)
−0.884045 + 0.467402i \(0.845190\pi\)
\(368\) 11.2579 19.4992i 0.586856 1.01646i
\(369\) −9.54578 + 6.58822i −0.496933 + 0.342969i
\(370\) −1.33407 + 0.357462i −0.0693548 + 0.0185836i
\(371\) −6.66407 6.66407i −0.345981 0.345981i
\(372\) −1.52023 + 1.26688i −0.0788203 + 0.0656849i
\(373\) 12.9972 + 22.5118i 0.672970 + 1.16562i 0.977058 + 0.212974i \(0.0683150\pi\)
−0.304088 + 0.952644i \(0.598352\pi\)
\(374\) −29.6258 −1.53191
\(375\) 29.1454 + 34.9738i 1.50506 + 1.80604i
\(376\) −2.24793 + 1.29784i −0.115928 + 0.0669310i
\(377\) 10.3838 4.94192i 0.534791 0.254522i
\(378\) 7.60787 + 7.76390i 0.391307 + 0.399332i
\(379\) 2.02535 7.55871i 0.104035 0.388265i −0.894199 0.447670i \(-0.852254\pi\)
0.998234 + 0.0594053i \(0.0189204\pi\)
\(380\) −13.7828 7.95753i −0.707045 0.408213i
\(381\) 20.5752 9.50975i 1.05410 0.487199i
\(382\) −33.1754 + 8.88933i −1.69740 + 0.454818i
\(383\) 26.6648 + 7.14482i 1.36251 + 0.365083i 0.864737 0.502224i \(-0.167485\pi\)
0.497772 + 0.867308i \(0.334151\pi\)
\(384\) −10.5558 + 1.82447i −0.538675 + 0.0931048i
\(385\) 12.8910 + 3.45414i 0.656987 + 0.176039i
\(386\) −7.00942 4.04689i −0.356770 0.205981i
\(387\) −1.37321 + 7.49111i −0.0698044 + 0.380794i
\(388\) −34.3468 9.20321i −1.74370 0.467222i
\(389\) −3.56435 6.17363i −0.180719 0.313015i 0.761406 0.648275i \(-0.224509\pi\)
−0.942126 + 0.335260i \(0.891176\pi\)
\(390\) −8.97364 + 52.2628i −0.454398 + 2.64643i
\(391\) −15.6116 + 27.0401i −0.789512 + 1.36748i
\(392\) 0.556508 0.556508i 0.0281079 0.0281079i
\(393\) 17.5079 + 12.3476i 0.883155 + 0.622856i
\(394\) 22.8694i 1.15214i
\(395\) −15.1631 + 15.1631i −0.762940 + 0.762940i
\(396\) −19.2902 + 13.3136i −0.969371 + 0.669031i
\(397\) −5.65323 21.0981i −0.283727 1.05889i −0.949764 0.312966i \(-0.898677\pi\)
0.666037 0.745919i \(-0.267989\pi\)
\(398\) 2.52529 9.42452i 0.126582 0.472409i
\(399\) 1.64719 2.33558i 0.0824629 0.116925i
\(400\) 35.6435i 1.78218i
\(401\) −3.25011 3.25011i −0.162303 0.162303i 0.621283 0.783586i \(-0.286612\pi\)
−0.783586 + 0.621283i \(0.786612\pi\)
\(402\) 26.0861 36.9878i 1.30105 1.84478i
\(403\) 0.580088 1.63368i 0.0288962 0.0813794i
\(404\) 17.7796i 0.884567i
\(405\) 3.67610 36.3457i 0.182667 1.80603i
\(406\) 3.33609 + 5.77827i 0.165567 + 0.286771i
\(407\) 0.534795 0.0265088
\(408\) 5.78565 0.999994i 0.286432 0.0495071i
\(409\) −6.51727 + 24.3228i −0.322258 + 1.20269i 0.594781 + 0.803888i \(0.297239\pi\)
−0.917039 + 0.398797i \(0.869428\pi\)
\(410\) 8.49667 31.7100i 0.419621 1.56605i
\(411\) −20.4782 24.5733i −1.01011 1.21211i
\(412\) −4.73454 −0.233254
\(413\) 5.32077 + 9.21584i 0.261818 + 0.453482i
\(414\) 3.65827 + 45.3463i 0.179794 + 2.22865i
\(415\) 9.21059i 0.452130i
\(416\) 22.1461 18.8819i 1.08580 0.925760i
\(417\) −0.958128 2.07300i −0.0469197 0.101515i
\(418\) 8.02526 + 8.02526i 0.392528 + 0.392528i
\(419\) 5.68379i 0.277671i −0.990315 0.138836i \(-0.955664\pi\)
0.990315 0.138836i \(-0.0443360\pi\)
\(420\) −16.6372 1.51230i −0.811812 0.0737929i
\(421\) −6.34085 + 23.6644i −0.309034 + 1.15333i 0.620383 + 0.784299i \(0.286977\pi\)
−0.929417 + 0.369031i \(0.879689\pi\)
\(422\) −1.43329 5.34911i −0.0697715 0.260391i
\(423\) −4.24211 + 8.93881i −0.206258 + 0.434620i
\(424\) −5.24476 + 5.24476i −0.254708 + 0.254708i
\(425\) 49.4279i 2.39761i
\(426\) −27.7056 + 12.8054i −1.34234 + 0.620422i
\(427\) 7.31611 7.31611i 0.354051 0.354051i
\(428\) −19.3018 + 33.4316i −0.932986 + 1.61598i
\(429\) 8.59405 18.6481i 0.414925 0.900339i
\(430\) −10.7781 18.6682i −0.519765 0.900260i
\(431\) −20.4817 5.48806i −0.986570 0.264351i −0.270761 0.962647i \(-0.587275\pi\)
−0.715809 + 0.698296i \(0.753942\pi\)
\(432\) −11.5275 + 11.2959i −0.554619 + 0.543473i
\(433\) 6.26901 + 3.61941i 0.301269 + 0.173938i 0.643013 0.765855i \(-0.277684\pi\)
−0.341744 + 0.939793i \(0.611017\pi\)
\(434\) 0.971569 + 0.260331i 0.0466368 + 0.0124963i
\(435\) 7.74046 21.0449i 0.371127 1.00903i
\(436\) 3.21384 + 0.861145i 0.153915 + 0.0412414i
\(437\) 11.5538 3.09584i 0.552694 0.148094i
\(438\) −41.3899 29.1907i −1.97769 1.39479i
\(439\) 8.70168 + 5.02392i 0.415309 + 0.239779i 0.693068 0.720872i \(-0.256258\pi\)
−0.277759 + 0.960651i \(0.589592\pi\)
\(440\) 2.71848 10.1455i 0.129598 0.483668i
\(441\) 0.540924 2.95083i 0.0257583 0.140516i
\(442\) −24.7218 + 21.0779i −1.17590 + 1.00257i
\(443\) −28.6136 + 16.5201i −1.35947 + 0.784893i −0.989553 0.144170i \(-0.953949\pi\)
−0.369922 + 0.929063i \(0.620616\pi\)
\(444\) −0.659657 + 0.114016i −0.0313060 + 0.00541094i
\(445\) −39.7358 −1.88366
\(446\) −1.50286 2.60303i −0.0711625 0.123257i
\(447\) −15.0907 5.55047i −0.713767 0.262528i
\(448\) 7.54723 + 7.54723i 0.356573 + 0.356573i
\(449\) −34.4406 + 9.22832i −1.62535 + 0.435511i −0.952567 0.304329i \(-0.901568\pi\)
−0.672783 + 0.739840i \(0.734901\pi\)
\(450\) 40.9081 + 59.2725i 1.92843 + 2.79413i
\(451\) −6.35588 + 11.0087i −0.299287 + 0.518380i
\(452\) 2.34532 4.06220i 0.110314 0.191070i
\(453\) 6.30241 + 2.31807i 0.296113 + 0.108912i
\(454\) −13.9532 8.05590i −0.654857 0.378082i
\(455\) 13.2147 6.28923i 0.619515 0.294844i
\(456\) −1.83815 1.29638i −0.0860792 0.0607084i
\(457\) −12.1001 + 3.24222i −0.566020 + 0.151665i −0.530471 0.847703i \(-0.677985\pi\)
−0.0355493 + 0.999368i \(0.511318\pi\)
\(458\) −44.3745 + 25.6196i −2.07348 + 1.19713i
\(459\) 15.9856 15.6643i 0.746142 0.731147i
\(460\) −49.4392 49.4392i −2.30511 2.30511i
\(461\) −25.5944 + 25.5944i −1.19205 + 1.19205i −0.215562 + 0.976490i \(0.569158\pi\)
−0.976490 + 0.215562i \(0.930842\pi\)
\(462\) 11.1810 + 4.11245i 0.520188 + 0.191328i
\(463\) −9.04094 33.7412i −0.420168 1.56809i −0.774254 0.632875i \(-0.781874\pi\)
0.354086 0.935213i \(-0.384792\pi\)
\(464\) −8.57935 + 4.95329i −0.398286 + 0.229951i
\(465\) −1.41822 3.06845i −0.0657685 0.142296i
\(466\) 8.06469 + 30.0978i 0.373590 + 1.39426i
\(467\) −1.65007 −0.0763563 −0.0381781 0.999271i \(-0.512155\pi\)
−0.0381781 + 0.999271i \(0.512155\pi\)
\(468\) −6.62490 + 24.8342i −0.306236 + 1.14796i
\(469\) −12.4916 −0.576806
\(470\) −7.24822 27.0507i −0.334335 1.24776i
\(471\) 18.1687 25.7617i 0.837170 1.18704i
\(472\) 7.25306 4.18755i 0.333849 0.192748i
\(473\) 2.16033 + 8.06248i 0.0993323 + 0.370713i
\(474\) −14.7054 + 12.2547i −0.675440 + 0.562879i
\(475\) 13.3894 13.3894i 0.614349 0.614349i
\(476\) −7.23716 7.23716i −0.331715 0.331715i
\(477\) −5.09789 + 27.8098i −0.233416 + 1.27333i
\(478\) 35.9674 20.7658i 1.64511 0.949804i
\(479\) 25.6057 6.86102i 1.16995 0.313488i 0.379018 0.925389i \(-0.376262\pi\)
0.790934 + 0.611901i \(0.209595\pi\)
\(480\) 5.13708 56.5142i 0.234475 2.57951i
\(481\) 0.446270 0.380492i 0.0203482 0.0173489i
\(482\) 25.6782 + 14.8253i 1.16961 + 0.675275i
\(483\) 9.64547 8.03805i 0.438884 0.365744i
\(484\) 0.225141 0.389956i 0.0102337 0.0177253i
\(485\) 30.3702 52.6027i 1.37904 2.38857i
\(486\) 6.20513 32.0143i 0.281471 1.45220i
\(487\) −11.5384 + 3.09172i −0.522857 + 0.140099i −0.510588 0.859826i \(-0.670572\pi\)
−0.0122691 + 0.999925i \(0.503905\pi\)
\(488\) −5.75793 5.75793i −0.260649 0.260649i
\(489\) −1.60160 9.26632i −0.0724266 0.419038i
\(490\) 4.24561 + 7.35361i 0.191797 + 0.332202i
\(491\) 1.40610 0.0634562 0.0317281 0.999497i \(-0.489899\pi\)
0.0317281 + 0.999497i \(0.489899\pi\)
\(492\) 5.49284 14.9340i 0.247636 0.673278i
\(493\) 11.8972 6.86887i 0.535825 0.309358i
\(494\) 12.4066 + 0.987086i 0.558199 + 0.0444111i
\(495\) −13.4387 37.7145i −0.604023 1.69514i
\(496\) −0.386529 + 1.44255i −0.0173557 + 0.0647723i
\(497\) 7.29507 + 4.21181i 0.327229 + 0.188926i
\(498\) 0.744302 8.18824i 0.0333530 0.366924i
\(499\) 14.0585 3.76695i 0.629343 0.168632i 0.0699714 0.997549i \(-0.477709\pi\)
0.559371 + 0.828917i \(0.311043\pi\)
\(500\) −60.3295 16.1652i −2.69802 0.722931i
\(501\) 17.5827 + 21.0987i 0.785535 + 0.942623i
\(502\) −44.6784 11.9715i −1.99410 0.534316i
\(503\) 16.8506 + 9.72872i 0.751333 + 0.433782i 0.826175 0.563413i \(-0.190512\pi\)
−0.0748423 + 0.997195i \(0.523845\pi\)
\(504\) −2.32236 0.425719i −0.103446 0.0189630i
\(505\) 29.3359 + 7.86054i 1.30543 + 0.349789i
\(506\) 24.9300 + 43.1800i 1.10827 + 1.91959i
\(507\) −6.09614 21.6757i −0.270739 0.962653i
\(508\) −15.5482 + 26.9303i −0.689842 + 1.19484i
\(509\) 4.92777 4.92777i 0.218419 0.218419i −0.589413 0.807832i \(-0.700641\pi\)
0.807832 + 0.589413i \(0.200641\pi\)
\(510\) −5.73456 + 63.0872i −0.253930 + 2.79355i
\(511\) 13.9782i 0.618361i
\(512\) −21.1848 + 21.1848i −0.936246 + 0.936246i
\(513\) −8.57357 0.0870257i −0.378532 0.00384228i
\(514\) −4.58703 17.1190i −0.202325 0.755088i
\(515\) 2.09319 7.81189i 0.0922370 0.344233i
\(516\) −4.38360 9.48432i −0.192977 0.417524i
\(517\) 10.8440i 0.476917i
\(518\) 0.240602 + 0.240602i 0.0105714 + 0.0105714i
\(519\) −11.7881 1.07153i −0.517441 0.0470348i
\(520\) −4.94976 10.4002i −0.217061 0.456081i
\(521\) 16.0002i 0.700980i 0.936566 + 0.350490i \(0.113985\pi\)
−0.936566 + 0.350490i \(0.886015\pi\)
\(522\) 8.58191 18.0835i 0.375620 0.791492i
\(523\) 8.18303 + 14.1734i 0.357819 + 0.619760i 0.987596 0.157015i \(-0.0501872\pi\)
−0.629777 + 0.776776i \(0.716854\pi\)
\(524\) −29.3918 −1.28399
\(525\) 6.86125 18.6545i 0.299450 0.814149i
\(526\) 15.7402 58.7431i 0.686304 2.56132i
\(527\) 0.536011 2.00042i 0.0233490 0.0871397i
\(528\) −6.10600 + 16.6011i −0.265730 + 0.722471i
\(529\) 29.5484 1.28471
\(530\) −40.0124 69.3034i −1.73803 3.01035i
\(531\) 13.6874 28.8416i 0.593983 1.25162i
\(532\) 3.92092i 0.169993i
\(533\) 2.52860 + 13.7085i 0.109526 + 0.593780i
\(534\) −35.3252 3.21103i −1.52867 0.138955i
\(535\) −46.6280 46.6280i −2.01590 2.01590i
\(536\) 9.83111i 0.424639i
\(537\) 13.2199 + 28.6024i 0.570480 + 1.23428i
\(538\) −4.56174 + 17.0246i −0.196670 + 0.733984i
\(539\) −0.850980 3.17590i −0.0366543 0.136796i
\(540\) 24.6169 + 43.6550i 1.05934 + 1.87861i
\(541\) −1.79736 + 1.79736i −0.0772745 + 0.0772745i −0.744688 0.667413i \(-0.767402\pi\)
0.667413 + 0.744688i \(0.267402\pi\)
\(542\) 11.3968i 0.489535i
\(543\) −3.91126 + 43.0286i −0.167848 + 1.84653i
\(544\) 24.5836 24.5836i 1.05401 1.05401i
\(545\) −2.84174 + 4.92204i −0.121727 + 0.210837i
\(546\) 12.2561 4.52327i 0.524513 0.193578i
\(547\) 10.7766 + 18.6657i 0.460776 + 0.798087i 0.999000 0.0447147i \(-0.0142379\pi\)
−0.538224 + 0.842802i \(0.680905\pi\)
\(548\) 42.3886 + 11.3580i 1.81075 + 0.485190i
\(549\) −30.5309 5.59669i −1.30303 0.238861i
\(550\) 68.3562 + 39.4655i 2.91472 + 1.68281i
\(551\) −5.08351 1.36212i −0.216565 0.0580284i
\(552\) −6.32611 7.59118i −0.269257 0.323102i
\(553\) 5.10302 + 1.36735i 0.217003 + 0.0581457i
\(554\) −40.0634 + 10.7350i −1.70213 + 0.456085i
\(555\) 0.103518 1.13883i 0.00439411 0.0483406i
\(556\) 2.71329 + 1.56652i 0.115069 + 0.0664352i
\(557\) −7.01507 + 26.1806i −0.297238 + 1.10931i 0.642186 + 0.766549i \(0.278028\pi\)
−0.939424 + 0.342758i \(0.888639\pi\)
\(558\) −1.01284 2.84246i −0.0428771 0.120331i
\(559\) 7.53897 + 5.19088i 0.318864 + 0.219551i
\(560\) −10.9183 + 6.30371i −0.461384 + 0.266380i
\(561\) 8.46737 23.0213i 0.357493 0.971958i
\(562\) 16.2966 0.687433
\(563\) 4.31526 + 7.47425i 0.181866 + 0.315002i 0.942516 0.334161i \(-0.108453\pi\)
−0.760650 + 0.649163i \(0.775119\pi\)
\(564\) −2.31188 13.3758i −0.0973477 0.563223i
\(565\) 5.66566 + 5.66566i 0.238356 + 0.238356i
\(566\) 24.6687 6.60996i 1.03690 0.277837i
\(567\) −8.20750 + 3.69283i −0.344682 + 0.155084i
\(568\) 3.31478 5.74137i 0.139085 0.240903i
\(569\) 6.83812 11.8440i 0.286669 0.496525i −0.686344 0.727277i \(-0.740785\pi\)
0.973012 + 0.230752i \(0.0741188\pi\)
\(570\) 18.6430 15.5361i 0.780868 0.650737i
\(571\) −18.5955 10.7361i −0.778198 0.449293i 0.0575930 0.998340i \(-0.481657\pi\)
−0.835791 + 0.549047i \(0.814991\pi\)
\(572\) 5.10983 + 27.7023i 0.213653 + 1.15829i
\(573\) 2.57428 28.3203i 0.107542 1.18310i
\(574\) −7.81224 + 2.09328i −0.326077 + 0.0873720i
\(575\) 72.0420 41.5934i 3.00436 1.73457i
\(576\) 5.77350 31.4954i 0.240563 1.31231i
\(577\) −13.4381 13.4381i −0.559436 0.559436i 0.369711 0.929147i \(-0.379457\pi\)
−0.929147 + 0.369711i \(0.879457\pi\)
\(578\) −2.29601 + 2.29601i −0.0955014 + 0.0955014i
\(579\) 5.14808 4.29015i 0.213947 0.178293i
\(580\) 7.96197 + 29.7145i 0.330603 + 1.23383i
\(581\) −1.96516 + 1.13459i −0.0815286 + 0.0470705i
\(582\) 31.2500 44.3097i 1.29535 1.83670i
\(583\) 8.01998 + 29.9310i 0.332154 + 1.23961i
\(584\) 11.0012 0.455231
\(585\) −38.0470 21.9104i −1.57305 0.905884i
\(586\) −30.1495 −1.24547
\(587\) −3.70014 13.8091i −0.152721 0.569963i −0.999290 0.0376836i \(-0.988002\pi\)
0.846568 0.532280i \(-0.178665\pi\)
\(588\) 1.72675 + 3.73598i 0.0712100 + 0.154069i
\(589\) −0.687089 + 0.396691i −0.0283110 + 0.0163454i
\(590\) 23.3868 + 87.2806i 0.962818 + 3.59329i
\(591\) −17.7711 6.53633i −0.731006 0.268869i
\(592\) −0.357236 + 0.357236i −0.0146823 + 0.0146823i
\(593\) 17.1896 + 17.1896i 0.705894 + 0.705894i 0.965669 0.259775i \(-0.0836485\pi\)
−0.259775 + 0.965669i \(0.583648\pi\)
\(594\) −8.89931 34.6143i −0.365143 1.42024i
\(595\) 15.1408 8.74154i 0.620712 0.358368i
\(596\) 21.3074 5.70931i 0.872786 0.233862i
\(597\) 6.60175 + 4.65596i 0.270191 + 0.190556i
\(598\) 51.5247 + 18.2954i 2.10700 + 0.748156i
\(599\) −27.1610 15.6814i −1.10977 0.640725i −0.170999 0.985271i \(-0.554699\pi\)
−0.938769 + 0.344546i \(0.888033\pi\)
\(600\) −14.6815 5.39994i −0.599369 0.220452i
\(601\) 6.95720 12.0502i 0.283790 0.491539i −0.688525 0.725213i \(-0.741741\pi\)
0.972315 + 0.233674i \(0.0750748\pi\)
\(602\) −2.65535 + 4.59919i −0.108224 + 0.187449i
\(603\) 21.2864 + 30.8422i 0.866848 + 1.25599i
\(604\) −8.89871 + 2.38440i −0.362084 + 0.0970200i
\(605\) 0.543882 + 0.543882i 0.0221120 + 0.0221120i
\(606\) 25.4445 + 9.35865i 1.03361 + 0.380169i
\(607\) 8.58712 + 14.8733i 0.348540 + 0.603690i 0.985990 0.166802i \(-0.0533441\pi\)
−0.637450 + 0.770492i \(0.720011\pi\)
\(608\) −13.3188 −0.540149
\(609\) −5.44361 + 0.940876i −0.220586 + 0.0381262i
\(610\) 76.0844 43.9273i 3.08057 1.77857i
\(611\) 7.71519 + 9.04897i 0.312123 + 0.366082i
\(612\) −5.53630 + 30.2014i −0.223792 + 1.22082i
\(613\) −3.35658 + 12.5269i −0.135571 + 0.505958i 0.864424 + 0.502764i \(0.167684\pi\)
−0.999995 + 0.00319450i \(0.998983\pi\)
\(614\) 52.0875 + 30.0728i 2.10208 + 1.21364i
\(615\) 22.2124 + 15.6656i 0.895691 + 0.631696i
\(616\) −2.49950 + 0.669738i −0.100708 + 0.0269845i
\(617\) 19.2636 + 5.16166i 0.775522 + 0.207801i 0.624810 0.780777i \(-0.285177\pi\)
0.150713 + 0.988578i \(0.451843\pi\)
\(618\) 2.49212 6.77564i 0.100248 0.272556i
\(619\) 1.42837 + 0.382731i 0.0574111 + 0.0153833i 0.287410 0.957808i \(-0.407206\pi\)
−0.229999 + 0.973191i \(0.573872\pi\)
\(620\) 4.01622 + 2.31876i 0.161295 + 0.0931238i
\(621\) −36.2828 10.1177i −1.45598 0.406011i
\(622\) −46.8110 12.5430i −1.87695 0.502927i
\(623\) 4.89476 + 8.47798i 0.196105 + 0.339663i
\(624\) 6.71597 + 18.1974i 0.268854 + 0.728479i
\(625\) 24.6556 42.7048i 0.986224 1.70819i
\(626\) 47.7383 47.7383i 1.90801 1.90801i
\(627\) −8.52989 + 3.94247i −0.340651 + 0.157447i
\(628\) 43.2481i 1.72579i
\(629\) 0.495389 0.495389i 0.0197525 0.0197525i
\(630\) 10.9216 23.0136i 0.435127 0.916883i
\(631\) 2.21659 + 8.27241i 0.0882409 + 0.329319i 0.995908 0.0903710i \(-0.0288053\pi\)
−0.907667 + 0.419690i \(0.862139\pi\)
\(632\) 1.07613 4.01618i 0.0428063 0.159755i
\(633\) 4.56628 + 0.415070i 0.181493 + 0.0164976i
\(634\) 13.1534i 0.522387i
\(635\) −37.5605 37.5605i −1.49054 1.49054i
\(636\) −16.2736 35.2094i −0.645291 1.39614i
\(637\) −2.96968 2.04474i −0.117663 0.0810157i
\(638\) 21.9377i 0.868520i
\(639\) −2.03210 25.1890i −0.0803887 0.996463i
\(640\) 12.5520 + 21.7408i 0.496163 + 0.859379i
\(641\) −39.0413 −1.54204 −0.771020 0.636811i \(-0.780253\pi\)
−0.771020 + 0.636811i \(0.780253\pi\)
\(642\) −37.6844 45.2203i −1.48728 1.78470i
\(643\) −5.89025 + 21.9827i −0.232289 + 0.866913i 0.747064 + 0.664752i \(0.231463\pi\)
−0.979352 + 0.202161i \(0.935204\pi\)
\(644\) −4.45822 + 16.6383i −0.175679 + 0.655642i
\(645\) 17.5870 3.03974i 0.692486 0.119690i
\(646\) 14.8679 0.584968
\(647\) −8.62727 14.9429i −0.339173 0.587465i 0.645105 0.764094i \(-0.276814\pi\)
−0.984277 + 0.176630i \(0.943480\pi\)
\(648\) 2.90633 + 6.45947i 0.114172 + 0.253752i
\(649\) 34.9887i 1.37343i
\(650\) 85.1198 15.7008i 3.33867 0.615837i
\(651\) −0.479980 + 0.680570i −0.0188119 + 0.0266736i
\(652\) 9.12241 + 9.12241i 0.357261 + 0.357261i
\(653\) 50.2547i 1.96662i 0.181941 + 0.983309i \(0.441762\pi\)
−0.181941 + 0.983309i \(0.558238\pi\)
\(654\) −2.92406 + 4.14607i −0.114340 + 0.162124i
\(655\) 12.9944 48.4959i 0.507735 1.89489i
\(656\) −3.10803 11.5993i −0.121348 0.452877i
\(657\) 34.5129 23.8198i 1.34648 0.929298i
\(658\) −4.87865 + 4.87865i −0.190190 + 0.190190i
\(659\) 10.0825i 0.392757i 0.980528 + 0.196379i \(0.0629182\pi\)
−0.980528 + 0.196379i \(0.937082\pi\)
\(660\) 44.8871 + 31.6572i 1.74723 + 1.23225i
\(661\) −2.15260 + 2.15260i −0.0837266 + 0.0837266i −0.747730 0.664003i \(-0.768856\pi\)
0.664003 + 0.747730i \(0.268856\pi\)
\(662\) 2.01631 3.49235i 0.0783661 0.135734i
\(663\) −9.31323 25.2349i −0.361696 0.980041i
\(664\) 0.892942 + 1.54662i 0.0346529 + 0.0600205i
\(665\) −6.46943 1.73348i −0.250874 0.0672214i
\(666\) 0.184056 1.00406i 0.00713202 0.0389064i
\(667\) −20.0230 11.5603i −0.775293 0.447615i
\(668\) −36.3951 9.75204i −1.40817 0.377318i
\(669\) 2.45227 0.423851i 0.0948101 0.0163870i
\(670\) −102.454 27.4525i −3.95815 1.06058i
\(671\) −32.8596 + 8.80469i −1.26853 + 0.339901i
\(672\) −12.6906 + 5.86553i −0.489550 + 0.226268i
\(673\) 4.15521 + 2.39901i 0.160171 + 0.0924750i 0.577943 0.816077i \(-0.303855\pi\)
−0.417772 + 0.908552i \(0.637189\pi\)
\(674\) 18.6757 69.6987i 0.719361 2.68469i
\(675\) −57.7508 + 14.8477i −2.22283 + 0.571488i
\(676\) 23.9734 + 19.4812i 0.922054 + 0.749277i
\(677\) 17.6081 10.1661i 0.676736 0.390713i −0.121888 0.992544i \(-0.538895\pi\)
0.798624 + 0.601830i \(0.205562\pi\)
\(678\) 4.57895 + 5.49462i 0.175853 + 0.211020i
\(679\) −14.9643 −0.574278
\(680\) −6.87977 11.9161i −0.263827 0.456962i
\(681\) 10.2480 8.54015i 0.392703 0.327259i
\(682\) −2.33850 2.33850i −0.0895458 0.0895458i
\(683\) −39.9816 + 10.7130i −1.52985 + 0.409923i −0.922971 0.384870i \(-0.874246\pi\)
−0.606881 + 0.794793i \(0.707580\pi\)
\(684\) 9.68092 6.68148i 0.370159 0.255473i
\(685\) −37.4809 + 64.9189i −1.43207 + 2.48042i
\(686\) 1.04597 1.81167i 0.0399353 0.0691700i
\(687\) −7.22549 41.8044i −0.275670 1.59494i
\(688\) −6.82870 3.94255i −0.260342 0.150308i
\(689\) 27.9875 + 19.2705i 1.06624 + 0.734148i
\(690\) 96.7761 44.7294i 3.68420 1.70282i
\(691\) −31.5973 + 8.46646i −1.20202 + 0.322079i −0.803625 0.595136i \(-0.797098\pi\)
−0.398392 + 0.917215i \(0.630432\pi\)
\(692\) 14.0633 8.11944i 0.534606 0.308655i
\(693\) −6.39131 + 7.51303i −0.242786 + 0.285397i
\(694\) −20.1575 20.1575i −0.765169 0.765169i
\(695\) −3.78430 + 3.78430i −0.143547 + 0.143547i
\(696\) 0.740488 + 4.28423i 0.0280681 + 0.162393i
\(697\) 4.30999 + 16.0851i 0.163253 + 0.609267i
\(698\) 50.9654 29.4249i 1.92907 1.11375i
\(699\) −25.6931 2.33547i −0.971801 0.0883357i
\(700\) 7.05760 + 26.3393i 0.266752 + 0.995533i
\(701\) 22.9434 0.866561 0.433280 0.901259i \(-0.357356\pi\)
0.433280 + 0.901259i \(0.357356\pi\)
\(702\) −32.0533 22.5530i −1.20977 0.851207i
\(703\) −0.268390 −0.0101225
\(704\) −9.08285 33.8976i −0.342323 1.27757i
\(705\) 23.0919 + 2.09903i 0.869691 + 0.0790540i
\(706\) −52.1255 + 30.0947i −1.96177 + 1.13263i
\(707\) −1.93656 7.22736i −0.0728320 0.271813i
\(708\) 7.45941 + 43.1578i 0.280342 + 1.62197i
\(709\) 9.66443 9.66443i 0.362955 0.362955i −0.501945 0.864900i \(-0.667382\pi\)
0.864900 + 0.501945i \(0.167382\pi\)
\(710\) 50.5771 + 50.5771i 1.89812 + 1.89812i
\(711\) −5.31981 14.9296i −0.199509 0.559905i
\(712\) 6.67234 3.85228i 0.250057 0.144370i
\(713\) −3.36670 + 0.902104i −0.126084 + 0.0337840i
\(714\) 14.1666 6.54773i 0.530171 0.245042i
\(715\) −47.9673 3.81634i −1.79387 0.142723i
\(716\) −37.4369 21.6142i −1.39908 0.807761i
\(717\) 5.85656 + 33.8842i 0.218717 + 1.26543i
\(718\) −22.0282 + 38.1540i −0.822086 + 1.42390i
\(719\) 21.7543 37.6796i 0.811299 1.40521i −0.100657 0.994921i \(-0.532094\pi\)
0.911955 0.410289i \(-0.134572\pi\)
\(720\) 34.1697 + 16.2160i 1.27343 + 0.604333i
\(721\) −1.92458 + 0.515689i −0.0716750 + 0.0192053i
\(722\) 24.0778 + 24.0778i 0.896081 + 0.896081i
\(723\) −18.8594 + 15.7165i −0.701390 + 0.584503i
\(724\) −29.6373 51.3334i −1.10146 1.90779i
\(725\) −36.6010 −1.35933
\(726\) 0.439562 + 0.527463i 0.0163137 + 0.0195760i
\(727\) 18.0155 10.4013i 0.668160 0.385762i −0.127219 0.991875i \(-0.540605\pi\)
0.795379 + 0.606112i \(0.207272\pi\)
\(728\) −1.60926 + 2.33720i −0.0596430 + 0.0866225i
\(729\) 23.1038 + 13.9719i 0.855698 + 0.517476i
\(730\) −30.7198 + 114.648i −1.13699 + 4.24331i
\(731\) 9.46956 + 5.46725i 0.350244 + 0.202214i
\(732\) 38.6544 17.8659i 1.42871 0.660342i
\(733\) −18.6602 + 4.99999i −0.689231 + 0.184679i −0.586402 0.810020i \(-0.699456\pi\)
−0.102829 + 0.994699i \(0.532789\pi\)
\(734\) 65.5601 + 17.5668i 2.41987 + 0.648401i
\(735\) −6.92770 + 1.19739i −0.255532 + 0.0441663i
\(736\) −56.5181 15.1440i −2.08328 0.558214i
\(737\) 35.5689 + 20.5357i 1.31020 + 0.756442i
\(738\) 18.4810 + 15.7217i 0.680293 + 0.578723i
\(739\) 3.70645 + 0.993139i 0.136344 + 0.0365332i 0.326346 0.945251i \(-0.394183\pi\)
−0.190002 + 0.981784i \(0.560849\pi\)
\(740\) 0.784405 + 1.35863i 0.0288353 + 0.0499442i
\(741\) −4.31298 + 9.35866i −0.158441 + 0.343799i
\(742\) −9.85765 + 17.0740i −0.361886 + 0.626805i
\(743\) −28.8448 + 28.8448i −1.05821 + 1.05821i −0.0600149 + 0.998197i \(0.519115\pi\)
−0.998197 + 0.0600149i \(0.980885\pi\)
\(744\) 0.535623 + 0.377754i 0.0196369 + 0.0138491i
\(745\) 37.6809i 1.38052i
\(746\) 38.4516 38.4516i 1.40781 1.40781i
\(747\) 6.15009 + 2.91866i 0.225020 + 0.106788i
\(748\) 8.70968 + 32.5050i 0.318458 + 1.18850i
\(749\) −4.20472 + 15.6922i −0.153637 + 0.573382i
\(750\) 54.8898 77.8290i 2.00429 2.84191i
\(751\) 34.5139i 1.25943i 0.776826 + 0.629715i \(0.216828\pi\)
−0.776826 + 0.629715i \(0.783172\pi\)
\(752\) −7.24363 7.24363i −0.264148 0.264148i
\(753\) 22.0723 31.2966i 0.804359 1.14051i
\(754\) −15.6081 18.3063i −0.568412 0.666677i
\(755\) 15.7369i 0.572723i
\(756\) 6.28180 10.6298i 0.228467 0.386601i
\(757\) −24.1657 41.8562i −0.878318 1.52129i −0.853186 0.521607i \(-0.825333\pi\)
−0.0251319 0.999684i \(-0.508001\pi\)
\(758\) −16.3702 −0.594592
\(759\) −40.6791 + 7.03100i −1.47656 + 0.255209i
\(760\) −1.36428 + 5.09158i −0.0494878 + 0.184691i
\(761\) −7.95834 + 29.7009i −0.288489 + 1.07666i 0.657762 + 0.753226i \(0.271503\pi\)
−0.946252 + 0.323432i \(0.895163\pi\)
\(762\) −30.3561 36.4266i −1.09969 1.31960i
\(763\) 1.40021 0.0506911
\(764\) 19.5065 + 33.7862i 0.705720 + 1.22234i
\(765\) −47.3841 22.4871i −1.71317 0.813025i
\(766\) 57.7490i 2.08656i
\(767\) −24.8935 29.1970i −0.898852 1.05424i
\(768\) −6.11039 13.2204i −0.220490 0.477049i
\(769\) −2.51854 2.51854i −0.0908210 0.0908210i 0.660237 0.751058i \(-0.270456\pi\)
−0.751058 + 0.660237i \(0.770456\pi\)
\(770\) 27.9185i 1.00611i
\(771\) 14.6137 + 1.32837i 0.526299 + 0.0478401i
\(772\) −2.37949 + 8.88038i −0.0856397 + 0.319612i
\(773\) −6.31122 23.5538i −0.226999 0.847171i −0.981594 0.190981i \(-0.938833\pi\)
0.754595 0.656191i