Properties

Label 690.2.m.h.31.1
Level $690$
Weight $2$
Character 690.31
Analytic conductor $5.510$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.m (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(3\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 31.1
Character \(\chi\) \(=\) 690.31
Dual form 690.2.m.h.601.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.142315 - 0.989821i) q^{2} +(0.415415 + 0.909632i) q^{3} +(-0.959493 - 0.281733i) q^{4} +(0.654861 + 0.755750i) q^{5} +(0.959493 - 0.281733i) q^{6} +(-3.23498 - 2.07900i) q^{7} +(-0.415415 + 0.909632i) q^{8} +(-0.654861 + 0.755750i) q^{9} +O(q^{10})\) \(q+(0.142315 - 0.989821i) q^{2} +(0.415415 + 0.909632i) q^{3} +(-0.959493 - 0.281733i) q^{4} +(0.654861 + 0.755750i) q^{5} +(0.959493 - 0.281733i) q^{6} +(-3.23498 - 2.07900i) q^{7} +(-0.415415 + 0.909632i) q^{8} +(-0.654861 + 0.755750i) q^{9} +(0.841254 - 0.540641i) q^{10} +(-0.436188 - 3.03376i) q^{11} +(-0.142315 - 0.989821i) q^{12} +(5.09384 - 3.27361i) q^{13} +(-2.51822 + 2.90618i) q^{14} +(-0.415415 + 0.909632i) q^{15} +(0.841254 + 0.540641i) q^{16} +(4.68281 - 1.37500i) q^{17} +(0.654861 + 0.755750i) q^{18} +(-5.19533 - 1.52549i) q^{19} +(-0.415415 - 0.909632i) q^{20} +(0.547262 - 3.80629i) q^{21} -3.06495 q^{22} +(-4.47873 - 1.71493i) q^{23} -1.00000 q^{24} +(-0.142315 + 0.989821i) q^{25} +(-2.51536 - 5.50788i) q^{26} +(-0.959493 - 0.281733i) q^{27} +(2.51822 + 2.90618i) q^{28} +(7.16153 - 2.10282i) q^{29} +(0.841254 + 0.540641i) q^{30} +(3.85885 - 8.44970i) q^{31} +(0.654861 - 0.755750i) q^{32} +(2.57840 - 1.65704i) q^{33} +(-0.694568 - 4.83083i) q^{34} +(-0.547262 - 3.80629i) q^{35} +(0.841254 - 0.540641i) q^{36} +(0.683485 - 0.788784i) q^{37} +(-2.24933 + 4.92535i) q^{38} +(5.09384 + 3.27361i) q^{39} +(-0.959493 + 0.281733i) q^{40} +(-3.48638 - 4.02350i) q^{41} +(-3.68966 - 1.08338i) q^{42} +(4.81952 + 10.5533i) q^{43} +(-0.436188 + 3.03376i) q^{44} -1.00000 q^{45} +(-2.33486 + 4.18908i) q^{46} -3.07419 q^{47} +(-0.142315 + 0.989821i) q^{48} +(3.23498 + 7.08362i) q^{49} +(0.959493 + 0.281733i) q^{50} +(3.19605 + 3.68844i) q^{51} +(-5.80979 + 1.70591i) q^{52} +(-2.28501 - 1.46849i) q^{53} +(-0.415415 + 0.909632i) q^{54} +(2.00712 - 2.31634i) q^{55} +(3.23498 - 2.07900i) q^{56} +(-0.770587 - 5.35955i) q^{57} +(-1.06222 - 7.38790i) q^{58} +(5.57026 - 3.57979i) q^{59} +(0.654861 - 0.755750i) q^{60} +(-2.39017 + 5.23375i) q^{61} +(-7.81453 - 5.02209i) q^{62} +(3.68966 - 1.08338i) q^{63} +(-0.654861 - 0.755750i) q^{64} +(5.80979 + 1.70591i) q^{65} +(-1.27323 - 2.78798i) q^{66} +(-1.58527 + 11.0258i) q^{67} -4.88050 q^{68} +(-0.300576 - 4.78640i) q^{69} -3.84543 q^{70} +(1.89820 - 13.2023i) q^{71} +(-0.415415 - 0.909632i) q^{72} +(-14.7827 - 4.34058i) q^{73} +(-0.683485 - 0.788784i) q^{74} +(-0.959493 + 0.281733i) q^{75} +(4.55510 + 2.92739i) q^{76} +(-4.89611 + 10.7210i) q^{77} +(3.96522 - 4.57611i) q^{78} +(-8.79705 + 5.65352i) q^{79} +(0.142315 + 0.989821i) q^{80} +(-0.142315 - 0.989821i) q^{81} +(-4.47871 + 2.87829i) q^{82} +(4.49111 - 5.18302i) q^{83} +(-1.59745 + 3.49793i) q^{84} +(4.10574 + 2.63860i) q^{85} +(11.1317 - 3.26857i) q^{86} +(4.88780 + 5.64082i) q^{87} +(2.94080 + 0.863497i) q^{88} +(1.42517 + 3.12069i) q^{89} +(-0.142315 + 0.989821i) q^{90} -23.2843 q^{91} +(3.81416 + 2.90727i) q^{92} +9.28914 q^{93} +(-0.437503 + 3.04290i) q^{94} +(-2.24933 - 4.92535i) q^{95} +(0.959493 + 0.281733i) q^{96} +(-0.929335 - 1.07251i) q^{97} +(7.47190 - 2.19395i) q^{98} +(2.57840 + 1.65704i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30q + 3q^{2} - 3q^{3} - 3q^{4} + 3q^{5} + 3q^{6} + 8q^{7} + 3q^{8} - 3q^{9} + O(q^{10}) \) \( 30q + 3q^{2} - 3q^{3} - 3q^{4} + 3q^{5} + 3q^{6} + 8q^{7} + 3q^{8} - 3q^{9} - 3q^{10} - 18q^{11} - 3q^{12} + 13q^{13} - 8q^{14} + 3q^{15} - 3q^{16} - 6q^{17} + 3q^{18} + 4q^{19} + 3q^{20} - 3q^{21} - 4q^{22} - 23q^{23} - 30q^{24} - 3q^{25} + 9q^{26} - 3q^{27} + 8q^{28} + 18q^{29} - 3q^{30} - 8q^{31} + 3q^{32} + 4q^{33} - 5q^{34} + 3q^{35} - 3q^{36} - 32q^{37} - 15q^{38} + 13q^{39} - 3q^{40} + 35q^{41} + 3q^{42} + 48q^{43} - 18q^{44} - 30q^{45} + q^{46} + 8q^{47} - 3q^{48} - 11q^{49} + 3q^{50} + 27q^{51} + 2q^{52} + 26q^{53} + 3q^{54} - 4q^{55} - 8q^{56} - 29q^{57} - 7q^{58} + 55q^{59} + 3q^{60} + 21q^{61} + 8q^{62} - 3q^{63} - 3q^{64} - 2q^{65} + 7q^{66} + 4q^{67} - 28q^{68} - 45q^{69} - 14q^{70} - 41q^{71} + 3q^{72} - 39q^{73} + 32q^{74} - 3q^{75} + 4q^{76} - 33q^{77} - 2q^{78} + 18q^{79} + 3q^{80} - 3q^{81} + 31q^{82} - 85q^{83} - 3q^{84} - 5q^{85} + 40q^{86} + 18q^{87} - 15q^{88} + 43q^{89} - 3q^{90} + 38q^{91} + 10q^{92} + 36q^{93} - 19q^{94} - 15q^{95} + 3q^{96} + 43q^{97} + 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{3}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.142315 0.989821i 0.100632 0.699909i
\(3\) 0.415415 + 0.909632i 0.239840 + 0.525176i
\(4\) −0.959493 0.281733i −0.479746 0.140866i
\(5\) 0.654861 + 0.755750i 0.292863 + 0.337981i
\(6\) 0.959493 0.281733i 0.391711 0.115017i
\(7\) −3.23498 2.07900i −1.22271 0.785787i −0.239969 0.970781i \(-0.577137\pi\)
−0.982740 + 0.184993i \(0.940774\pi\)
\(8\) −0.415415 + 0.909632i −0.146871 + 0.321603i
\(9\) −0.654861 + 0.755750i −0.218287 + 0.251917i
\(10\) 0.841254 0.540641i 0.266028 0.170966i
\(11\) −0.436188 3.03376i −0.131516 0.914712i −0.943580 0.331144i \(-0.892565\pi\)
0.812065 0.583568i \(-0.198344\pi\)
\(12\) −0.142315 0.989821i −0.0410828 0.285737i
\(13\) 5.09384 3.27361i 1.41278 0.907937i 0.412781 0.910830i \(-0.364557\pi\)
0.999996 + 0.00289349i \(0.000921028\pi\)
\(14\) −2.51822 + 2.90618i −0.673023 + 0.776710i
\(15\) −0.415415 + 0.909632i −0.107260 + 0.234866i
\(16\) 0.841254 + 0.540641i 0.210313 + 0.135160i
\(17\) 4.68281 1.37500i 1.13575 0.333486i 0.340784 0.940142i \(-0.389308\pi\)
0.794964 + 0.606656i \(0.207489\pi\)
\(18\) 0.654861 + 0.755750i 0.154352 + 0.178132i
\(19\) −5.19533 1.52549i −1.19189 0.349971i −0.375144 0.926967i \(-0.622407\pi\)
−0.816747 + 0.576996i \(0.804225\pi\)
\(20\) −0.415415 0.909632i −0.0928896 0.203400i
\(21\) 0.547262 3.80629i 0.119422 0.830601i
\(22\) −3.06495 −0.653450
\(23\) −4.47873 1.71493i −0.933880 0.357588i
\(24\) −1.00000 −0.204124
\(25\) −0.142315 + 0.989821i −0.0284630 + 0.197964i
\(26\) −2.51536 5.50788i −0.493303 1.08018i
\(27\) −0.959493 0.281733i −0.184655 0.0542195i
\(28\) 2.51822 + 2.90618i 0.475899 + 0.549217i
\(29\) 7.16153 2.10282i 1.32986 0.390483i 0.461821 0.886973i \(-0.347196\pi\)
0.868042 + 0.496490i \(0.165378\pi\)
\(30\) 0.841254 + 0.540641i 0.153591 + 0.0987071i
\(31\) 3.85885 8.44970i 0.693070 1.51761i −0.155107 0.987898i \(-0.549572\pi\)
0.848176 0.529714i \(-0.177701\pi\)
\(32\) 0.654861 0.755750i 0.115764 0.133599i
\(33\) 2.57840 1.65704i 0.448842 0.288453i
\(34\) −0.694568 4.83083i −0.119117 0.828480i
\(35\) −0.547262 3.80629i −0.0925042 0.643381i
\(36\) 0.841254 0.540641i 0.140209 0.0901068i
\(37\) 0.683485 0.788784i 0.112364 0.129675i −0.696781 0.717284i \(-0.745385\pi\)
0.809145 + 0.587609i \(0.199931\pi\)
\(38\) −2.24933 + 4.92535i −0.364890 + 0.798997i
\(39\) 5.09384 + 3.27361i 0.815667 + 0.524197i
\(40\) −0.959493 + 0.281733i −0.151709 + 0.0445458i
\(41\) −3.48638 4.02350i −0.544482 0.628365i 0.415107 0.909773i \(-0.363744\pi\)
−0.959588 + 0.281407i \(0.909199\pi\)
\(42\) −3.68966 1.08338i −0.569328 0.167170i
\(43\) 4.81952 + 10.5533i 0.734969 + 1.60936i 0.791657 + 0.610966i \(0.209219\pi\)
−0.0566873 + 0.998392i \(0.518054\pi\)
\(44\) −0.436188 + 3.03376i −0.0657578 + 0.457356i
\(45\) −1.00000 −0.149071
\(46\) −2.33486 + 4.18908i −0.344257 + 0.617646i
\(47\) −3.07419 −0.448417 −0.224208 0.974541i \(-0.571980\pi\)
−0.224208 + 0.974541i \(0.571980\pi\)
\(48\) −0.142315 + 0.989821i −0.0205414 + 0.142868i
\(49\) 3.23498 + 7.08362i 0.462140 + 1.01195i
\(50\) 0.959493 + 0.281733i 0.135693 + 0.0398430i
\(51\) 3.19605 + 3.68844i 0.447537 + 0.516485i
\(52\) −5.80979 + 1.70591i −0.805673 + 0.236567i
\(53\) −2.28501 1.46849i −0.313870 0.201712i 0.374215 0.927342i \(-0.377912\pi\)
−0.688085 + 0.725630i \(0.741549\pi\)
\(54\) −0.415415 + 0.909632i −0.0565308 + 0.123785i
\(55\) 2.00712 2.31634i 0.270640 0.312335i
\(56\) 3.23498 2.07900i 0.432293 0.277818i
\(57\) −0.770587 5.35955i −0.102067 0.709890i
\(58\) −1.06222 7.38790i −0.139476 0.970079i
\(59\) 5.57026 3.57979i 0.725186 0.466048i −0.125252 0.992125i \(-0.539974\pi\)
0.850437 + 0.526077i \(0.176337\pi\)
\(60\) 0.654861 0.755750i 0.0845422 0.0975669i
\(61\) −2.39017 + 5.23375i −0.306030 + 0.670112i −0.998691 0.0511510i \(-0.983711\pi\)
0.692661 + 0.721263i \(0.256438\pi\)
\(62\) −7.81453 5.02209i −0.992446 0.637806i
\(63\) 3.68966 1.08338i 0.464854 0.136493i
\(64\) −0.654861 0.755750i −0.0818576 0.0944687i
\(65\) 5.80979 + 1.70591i 0.720615 + 0.211592i
\(66\) −1.27323 2.78798i −0.156723 0.343176i
\(67\) −1.58527 + 11.0258i −0.193671 + 1.34701i 0.628517 + 0.777796i \(0.283662\pi\)
−0.822188 + 0.569216i \(0.807247\pi\)
\(68\) −4.88050 −0.591848
\(69\) −0.300576 4.78640i −0.0361851 0.576215i
\(70\) −3.84543 −0.459617
\(71\) 1.89820 13.2023i 0.225275 1.56682i −0.492352 0.870396i \(-0.663863\pi\)
0.717627 0.696428i \(-0.245228\pi\)
\(72\) −0.415415 0.909632i −0.0489571 0.107201i
\(73\) −14.7827 4.34058i −1.73018 0.508026i −0.743227 0.669040i \(-0.766706\pi\)
−0.986952 + 0.161013i \(0.948524\pi\)
\(74\) −0.683485 0.788784i −0.0794535 0.0916943i
\(75\) −0.959493 + 0.281733i −0.110793 + 0.0325317i
\(76\) 4.55510 + 2.92739i 0.522506 + 0.335794i
\(77\) −4.89611 + 10.7210i −0.557963 + 1.22177i
\(78\) 3.96522 4.57611i 0.448973 0.518142i
\(79\) −8.79705 + 5.65352i −0.989745 + 0.636071i −0.932075 0.362265i \(-0.882004\pi\)
−0.0576702 + 0.998336i \(0.518367\pi\)
\(80\) 0.142315 + 0.989821i 0.0159113 + 0.110665i
\(81\) −0.142315 0.989821i −0.0158128 0.109980i
\(82\) −4.47871 + 2.87829i −0.494591 + 0.317854i
\(83\) 4.49111 5.18302i 0.492963 0.568910i −0.453692 0.891159i \(-0.649893\pi\)
0.946655 + 0.322249i \(0.104439\pi\)
\(84\) −1.59745 + 3.49793i −0.174296 + 0.381655i
\(85\) 4.10574 + 2.63860i 0.445330 + 0.286196i
\(86\) 11.1317 3.26857i 1.20037 0.352459i
\(87\) 4.88780 + 5.64082i 0.524027 + 0.604759i
\(88\) 2.94080 + 0.863497i 0.313490 + 0.0920491i
\(89\) 1.42517 + 3.12069i 0.151068 + 0.330793i 0.970003 0.243094i \(-0.0781623\pi\)
−0.818935 + 0.573886i \(0.805435\pi\)
\(90\) −0.142315 + 0.989821i −0.0150013 + 0.104336i
\(91\) −23.2843 −2.44086
\(92\) 3.81416 + 2.90727i 0.397653 + 0.303104i
\(93\) 9.28914 0.963239
\(94\) −0.437503 + 3.04290i −0.0451250 + 0.313851i
\(95\) −2.24933 4.92535i −0.230777 0.505330i
\(96\) 0.959493 + 0.281733i 0.0979278 + 0.0287542i
\(97\) −0.929335 1.07251i −0.0943596 0.108897i 0.706606 0.707607i \(-0.250225\pi\)
−0.800965 + 0.598711i \(0.795680\pi\)
\(98\) 7.47190 2.19395i 0.754776 0.221622i
\(99\) 2.57840 + 1.65704i 0.259139 + 0.166539i
\(100\) 0.415415 0.909632i 0.0415415 0.0909632i
\(101\) −2.31941 + 2.67675i −0.230790 + 0.266346i −0.859319 0.511440i \(-0.829112\pi\)
0.628528 + 0.777787i \(0.283658\pi\)
\(102\) 4.10574 2.63860i 0.406529 0.261260i
\(103\) 2.52848 + 17.5860i 0.249138 + 1.73280i 0.603214 + 0.797579i \(0.293886\pi\)
−0.354076 + 0.935217i \(0.615205\pi\)
\(104\) 0.861725 + 5.99343i 0.0844991 + 0.587704i
\(105\) 3.23498 2.07900i 0.315702 0.202889i
\(106\) −1.77873 + 2.05277i −0.172766 + 0.199382i
\(107\) 1.02524 2.24495i 0.0991133 0.217028i −0.853580 0.520962i \(-0.825573\pi\)
0.952693 + 0.303935i \(0.0983004\pi\)
\(108\) 0.841254 + 0.540641i 0.0809497 + 0.0520232i
\(109\) −3.44988 + 1.01298i −0.330439 + 0.0970255i −0.442744 0.896648i \(-0.645995\pi\)
0.112305 + 0.993674i \(0.464177\pi\)
\(110\) −2.00712 2.31634i −0.191371 0.220854i
\(111\) 1.00143 + 0.294047i 0.0950518 + 0.0279097i
\(112\) −1.59745 3.49793i −0.150945 0.330523i
\(113\) 0.101466 0.705711i 0.00954511 0.0663877i −0.984492 0.175429i \(-0.943869\pi\)
0.994037 + 0.109041i \(0.0347780\pi\)
\(114\) −5.41466 −0.507130
\(115\) −1.63689 4.50784i −0.152640 0.420358i
\(116\) −7.46387 −0.693003
\(117\) −0.861725 + 5.99343i −0.0796665 + 0.554093i
\(118\) −2.75062 6.02302i −0.253215 0.554464i
\(119\) −18.0074 5.28746i −1.65074 0.484700i
\(120\) −0.654861 0.755750i −0.0597803 0.0689902i
\(121\) 1.54101 0.452482i 0.140092 0.0411347i
\(122\) 4.84032 + 3.11068i 0.438222 + 0.281628i
\(123\) 2.21161 4.84275i 0.199414 0.436656i
\(124\) −6.08310 + 7.02027i −0.546278 + 0.630439i
\(125\) −0.841254 + 0.540641i −0.0752440 + 0.0483564i
\(126\) −0.547262 3.80629i −0.0487540 0.339091i
\(127\) 2.37429 + 16.5136i 0.210684 + 1.46534i 0.770879 + 0.636981i \(0.219817\pi\)
−0.560195 + 0.828361i \(0.689274\pi\)
\(128\) −0.841254 + 0.540641i −0.0743570 + 0.0477863i
\(129\) −7.59749 + 8.76797i −0.668922 + 0.771977i
\(130\) 2.51536 5.50788i 0.220612 0.483073i
\(131\) 16.3366 + 10.4989i 1.42733 + 0.917292i 0.999912 + 0.0132390i \(0.00421423\pi\)
0.427421 + 0.904053i \(0.359422\pi\)
\(132\) −2.94080 + 0.863497i −0.255964 + 0.0751577i
\(133\) 13.6353 + 15.7360i 1.18233 + 1.36448i
\(134\) 10.6879 + 3.13826i 0.923296 + 0.271104i
\(135\) −0.415415 0.909632i −0.0357532 0.0782887i
\(136\) −0.694568 + 4.83083i −0.0595587 + 0.414240i
\(137\) −0.482154 −0.0411932 −0.0205966 0.999788i \(-0.506557\pi\)
−0.0205966 + 0.999788i \(0.506557\pi\)
\(138\) −4.78046 0.383660i −0.406940 0.0326593i
\(139\) −2.20181 −0.186755 −0.0933777 0.995631i \(-0.529766\pi\)
−0.0933777 + 0.995631i \(0.529766\pi\)
\(140\) −0.547262 + 3.80629i −0.0462521 + 0.321690i
\(141\) −1.27707 2.79638i −0.107548 0.235498i
\(142\) −12.7978 3.75776i −1.07397 0.315345i
\(143\) −12.1532 14.0256i −1.01630 1.17288i
\(144\) −0.959493 + 0.281733i −0.0799577 + 0.0234777i
\(145\) 6.27901 + 4.03527i 0.521443 + 0.335111i
\(146\) −6.40019 + 14.0145i −0.529684 + 1.15985i
\(147\) −5.09963 + 5.88528i −0.420610 + 0.485410i
\(148\) −0.878025 + 0.564273i −0.0721732 + 0.0463829i
\(149\) 0.370985 + 2.58026i 0.0303923 + 0.211383i 0.999359 0.0358097i \(-0.0114010\pi\)
−0.968966 + 0.247193i \(0.920492\pi\)
\(150\) 0.142315 + 0.989821i 0.0116200 + 0.0808186i
\(151\) 16.6099 10.6746i 1.35170 0.868683i 0.353917 0.935277i \(-0.384849\pi\)
0.997780 + 0.0665934i \(0.0212130\pi\)
\(152\) 3.54585 4.09213i 0.287606 0.331915i
\(153\) −2.02743 + 4.43946i −0.163908 + 0.358909i
\(154\) 9.91507 + 6.37203i 0.798979 + 0.513473i
\(155\) 8.91287 2.61705i 0.715899 0.210207i
\(156\) −3.96522 4.57611i −0.317472 0.366382i
\(157\) 16.3839 + 4.81074i 1.30758 + 0.383939i 0.859994 0.510304i \(-0.170467\pi\)
0.447582 + 0.894243i \(0.352285\pi\)
\(158\) 4.34402 + 9.51209i 0.345592 + 0.756741i
\(159\) 0.386555 2.68855i 0.0306558 0.213216i
\(160\) 1.00000 0.0790569
\(161\) 10.9233 + 14.8590i 0.860875 + 1.17106i
\(162\) −1.00000 −0.0785674
\(163\) 0.676572 4.70566i 0.0529932 0.368576i −0.946018 0.324114i \(-0.894934\pi\)
0.999011 0.0444615i \(-0.0141572\pi\)
\(164\) 2.21161 + 4.84275i 0.172698 + 0.378155i
\(165\) 2.94080 + 0.863497i 0.228941 + 0.0672231i
\(166\) −4.49111 5.18302i −0.348578 0.402280i
\(167\) 2.96972 0.871988i 0.229804 0.0674764i −0.164803 0.986326i \(-0.552699\pi\)
0.394607 + 0.918850i \(0.370881\pi\)
\(168\) 3.23498 + 2.07900i 0.249584 + 0.160398i
\(169\) 9.83028 21.5253i 0.756175 1.65579i
\(170\) 3.19605 3.68844i 0.245126 0.282890i
\(171\) 4.55510 2.92739i 0.348338 0.223863i
\(172\) −1.65109 11.4836i −0.125895 0.875616i
\(173\) 2.38730 + 16.6040i 0.181503 + 1.26238i 0.853211 + 0.521565i \(0.174652\pi\)
−0.671709 + 0.740816i \(0.734439\pi\)
\(174\) 6.27901 4.03527i 0.476010 0.305913i
\(175\) 2.51822 2.90618i 0.190360 0.219687i
\(176\) 1.27323 2.78798i 0.0959731 0.210152i
\(177\) 5.57026 + 3.57979i 0.418686 + 0.269073i
\(178\) 3.29175 0.966545i 0.246727 0.0724456i
\(179\) −14.1915 16.3779i −1.06073 1.22414i −0.973675 0.227939i \(-0.926801\pi\)
−0.0870502 0.996204i \(-0.527744\pi\)
\(180\) 0.959493 + 0.281733i 0.0715164 + 0.0209991i
\(181\) −6.65219 14.5663i −0.494453 1.08270i −0.978233 0.207511i \(-0.933464\pi\)
0.483780 0.875190i \(-0.339264\pi\)
\(182\) −3.31370 + 23.0473i −0.245628 + 1.70838i
\(183\) −5.75370 −0.425325
\(184\) 3.42049 3.36159i 0.252162 0.247820i
\(185\) 1.04371 0.0767351
\(186\) 1.32198 9.19459i 0.0969325 0.674180i
\(187\) −6.21399 13.6067i −0.454412 0.995023i
\(188\) 2.94967 + 0.866100i 0.215126 + 0.0631668i
\(189\) 2.51822 + 2.90618i 0.183174 + 0.211394i
\(190\) −5.19533 + 1.52549i −0.376909 + 0.110670i
\(191\) 16.5791 + 10.6547i 1.19962 + 0.770949i 0.978890 0.204386i \(-0.0655197\pi\)
0.220730 + 0.975335i \(0.429156\pi\)
\(192\) 0.415415 0.909632i 0.0299800 0.0656470i
\(193\) −15.8062 + 18.2414i −1.13776 + 1.31304i −0.194531 + 0.980896i \(0.562318\pi\)
−0.943228 + 0.332147i \(0.892227\pi\)
\(194\) −1.19385 + 0.767241i −0.0857135 + 0.0550847i
\(195\) 0.861725 + 5.99343i 0.0617094 + 0.429198i
\(196\) −1.10825 7.70808i −0.0791611 0.550577i
\(197\) 8.58077 5.51452i 0.611354 0.392894i −0.198010 0.980200i \(-0.563448\pi\)
0.809365 + 0.587306i \(0.199812\pi\)
\(198\) 2.00712 2.31634i 0.142640 0.164615i
\(199\) 2.23053 4.88418i 0.158118 0.346230i −0.813948 0.580938i \(-0.802686\pi\)
0.972066 + 0.234707i \(0.0754132\pi\)
\(200\) −0.841254 0.540641i −0.0594856 0.0382291i
\(201\) −10.6879 + 3.13826i −0.753868 + 0.221356i
\(202\) 2.31941 + 2.67675i 0.163193 + 0.188335i
\(203\) −27.5392 8.08624i −1.93287 0.567542i
\(204\) −2.02743 4.43946i −0.141949 0.310825i
\(205\) 0.757664 5.26967i 0.0529175 0.368049i
\(206\) 17.7668 1.23787
\(207\) 4.22900 2.26176i 0.293936 0.157203i
\(208\) 6.05506 0.419843
\(209\) −2.36181 + 16.4268i −0.163370 + 1.13626i
\(210\) −1.59745 3.49793i −0.110235 0.241380i
\(211\) 15.5100 + 4.55414i 1.06775 + 0.313520i 0.767968 0.640488i \(-0.221268\pi\)
0.299782 + 0.954008i \(0.403086\pi\)
\(212\) 1.77873 + 2.05277i 0.122164 + 0.140985i
\(213\) 12.7978 3.75776i 0.876889 0.257478i
\(214\) −2.07620 1.33429i −0.141926 0.0912102i
\(215\) −4.81952 + 10.5533i −0.328688 + 0.719727i
\(216\) 0.654861 0.755750i 0.0445576 0.0514222i
\(217\) −30.0502 + 19.3121i −2.03994 + 1.31099i
\(218\) 0.511697 + 3.55893i 0.0346565 + 0.241041i
\(219\) −2.19261 15.2499i −0.148163 1.03049i
\(220\) −2.57840 + 1.65704i −0.173836 + 0.111717i
\(221\) 19.3523 22.3337i 1.30178 1.50233i
\(222\) 0.433573 0.949393i 0.0290995 0.0637191i
\(223\) 10.1096 + 6.49704i 0.676988 + 0.435074i 0.833439 0.552612i \(-0.186369\pi\)
−0.156451 + 0.987686i \(0.550005\pi\)
\(224\) −3.68966 + 1.08338i −0.246526 + 0.0723866i
\(225\) −0.654861 0.755750i −0.0436574 0.0503833i
\(226\) −0.684087 0.200866i −0.0455048 0.0133614i
\(227\) 4.60031 + 10.0733i 0.305333 + 0.668586i 0.998644 0.0520520i \(-0.0165761\pi\)
−0.693311 + 0.720638i \(0.743849\pi\)
\(228\) −0.770587 + 5.35955i −0.0510334 + 0.354945i
\(229\) 4.56808 0.301868 0.150934 0.988544i \(-0.451772\pi\)
0.150934 + 0.988544i \(0.451772\pi\)
\(230\) −4.69491 + 0.978693i −0.309573 + 0.0645331i
\(231\) −11.7861 −0.775466
\(232\) −1.06222 + 7.38790i −0.0697382 + 0.485039i
\(233\) −11.7984 25.8348i −0.772936 1.69249i −0.720079 0.693892i \(-0.755895\pi\)
−0.0528566 0.998602i \(-0.516833\pi\)
\(234\) 5.80979 + 1.70591i 0.379798 + 0.111519i
\(235\) −2.01317 2.32332i −0.131325 0.151557i
\(236\) −6.35316 + 1.86546i −0.413556 + 0.121431i
\(237\) −8.79705 5.65352i −0.571430 0.367236i
\(238\) −7.79636 + 17.0717i −0.505363 + 1.10659i
\(239\) 1.13581 1.31079i 0.0734694 0.0847882i −0.717825 0.696224i \(-0.754862\pi\)
0.791294 + 0.611435i \(0.209408\pi\)
\(240\) −0.841254 + 0.540641i −0.0543027 + 0.0348982i
\(241\) 0.00632836 + 0.0440147i 0.000407645 + 0.00283524i 0.990024 0.140897i \(-0.0449987\pi\)
−0.989617 + 0.143732i \(0.954090\pi\)
\(242\) −0.228567 1.58972i −0.0146929 0.102191i
\(243\) 0.841254 0.540641i 0.0539664 0.0346821i
\(244\) 3.76787 4.34835i 0.241213 0.278375i
\(245\) −3.23498 + 7.08362i −0.206675 + 0.452556i
\(246\) −4.47871 2.87829i −0.285552 0.183513i
\(247\) −31.4580 + 9.23691i −2.00163 + 0.587731i
\(248\) 6.08310 + 7.02027i 0.386277 + 0.445787i
\(249\) 6.58031 + 1.93215i 0.417010 + 0.122445i
\(250\) 0.415415 + 0.909632i 0.0262732 + 0.0575302i
\(251\) 1.45531 10.1219i 0.0918584 0.638889i −0.890928 0.454144i \(-0.849945\pi\)
0.982786 0.184745i \(-0.0591459\pi\)
\(252\) −3.84543 −0.242239
\(253\) −3.24911 + 14.3354i −0.204270 + 0.901259i
\(254\) 16.6834 1.04681
\(255\) −0.694568 + 4.83083i −0.0434955 + 0.302518i
\(256\) 0.415415 + 0.909632i 0.0259634 + 0.0568520i
\(257\) −4.61249 1.35435i −0.287719 0.0844819i 0.134688 0.990888i \(-0.456997\pi\)
−0.422407 + 0.906406i \(0.638815\pi\)
\(258\) 7.59749 + 8.76797i 0.472999 + 0.545870i
\(259\) −3.85094 + 1.13074i −0.239286 + 0.0702607i
\(260\) −5.09384 3.27361i −0.315907 0.203021i
\(261\) −3.10060 + 6.78938i −0.191923 + 0.420252i
\(262\) 12.7170 14.6762i 0.785656 0.906696i
\(263\) 0.978902 0.629102i 0.0603617 0.0387921i −0.510112 0.860108i \(-0.670396\pi\)
0.570474 + 0.821316i \(0.306760\pi\)
\(264\) 0.436188 + 3.03376i 0.0268455 + 0.186715i
\(265\) −0.386555 2.68855i −0.0237459 0.165156i
\(266\) 17.5163 11.2571i 1.07400 0.690215i
\(267\) −2.24664 + 2.59276i −0.137492 + 0.158675i
\(268\) 4.62737 10.1325i 0.282661 0.618942i
\(269\) 7.14425 + 4.59133i 0.435593 + 0.279938i 0.740004 0.672602i \(-0.234823\pi\)
−0.304412 + 0.952541i \(0.598460\pi\)
\(270\) −0.959493 + 0.281733i −0.0583929 + 0.0171457i
\(271\) −0.229496 0.264853i −0.0139409 0.0160887i 0.748736 0.662868i \(-0.230661\pi\)
−0.762677 + 0.646779i \(0.776115\pi\)
\(272\) 4.68281 + 1.37500i 0.283937 + 0.0833714i
\(273\) −9.67266 21.1802i −0.585416 1.28188i
\(274\) −0.0686177 + 0.477246i −0.00414535 + 0.0288315i
\(275\) 3.06495 0.184824
\(276\) −1.06009 + 4.67720i −0.0638096 + 0.281534i
\(277\) 22.3494 1.34285 0.671424 0.741074i \(-0.265683\pi\)
0.671424 + 0.741074i \(0.265683\pi\)
\(278\) −0.313351 + 2.17940i −0.0187935 + 0.130712i
\(279\) 3.85885 + 8.44970i 0.231023 + 0.505871i
\(280\) 3.68966 + 1.08338i 0.220500 + 0.0647445i
\(281\) −3.02162 3.48714i −0.180255 0.208025i 0.658430 0.752642i \(-0.271221\pi\)
−0.838685 + 0.544616i \(0.816675\pi\)
\(282\) −2.94967 + 0.866100i −0.175650 + 0.0515755i
\(283\) −7.78762 5.00480i −0.462926 0.297504i 0.288311 0.957537i \(-0.406906\pi\)
−0.751237 + 0.660032i \(0.770543\pi\)
\(284\) −5.54083 + 12.1327i −0.328788 + 0.719945i
\(285\) 3.54585 4.09213i 0.210038 0.242397i
\(286\) −15.6124 + 10.0335i −0.923179 + 0.593291i
\(287\) 2.91354 + 20.2641i 0.171981 + 1.19615i
\(288\) 0.142315 + 0.989821i 0.00838598 + 0.0583258i
\(289\) 5.73678 3.68681i 0.337458 0.216871i
\(290\) 4.88780 5.64082i 0.287021 0.331240i
\(291\) 0.589529 1.29089i 0.0345588 0.0756732i
\(292\) 12.9610 + 8.32951i 0.758484 + 0.487448i
\(293\) 5.74181 1.68595i 0.335440 0.0984941i −0.109675 0.993968i \(-0.534981\pi\)
0.445115 + 0.895473i \(0.353163\pi\)
\(294\) 5.09963 + 5.88528i 0.297416 + 0.343237i
\(295\) 6.35316 + 1.86546i 0.369896 + 0.108611i
\(296\) 0.433573 + 0.949393i 0.0252009 + 0.0551823i
\(297\) −0.436188 + 3.03376i −0.0253102 + 0.176036i
\(298\) 2.60679 0.151007
\(299\) −28.4279 + 5.92604i −1.64403 + 0.342712i
\(300\) 1.00000 0.0577350
\(301\) 6.34916 44.1594i 0.365960 2.54531i
\(302\) −8.20207 17.9600i −0.471976 1.03348i
\(303\) −3.39837 0.997853i −0.195232 0.0573251i
\(304\) −3.54585 4.09213i −0.203368 0.234700i
\(305\) −5.52063 + 1.62100i −0.316110 + 0.0928184i
\(306\) 4.10574 + 2.63860i 0.234710 + 0.150839i
\(307\) −8.41931 + 18.4357i −0.480516 + 1.05218i 0.501806 + 0.864980i \(0.332669\pi\)
−0.982321 + 0.187202i \(0.940058\pi\)
\(308\) 7.71823 8.90731i 0.439787 0.507541i
\(309\) −14.9464 + 9.60546i −0.850270 + 0.546435i
\(310\) −1.32198 9.19459i −0.0750836 0.522218i
\(311\) −1.26760 8.81632i −0.0718788 0.499928i −0.993679 0.112262i \(-0.964190\pi\)
0.921800 0.387666i \(-0.126719\pi\)
\(312\) −5.09384 + 3.27361i −0.288382 + 0.185332i
\(313\) 13.1429 15.1677i 0.742881 0.857330i −0.250977 0.967993i \(-0.580752\pi\)
0.993858 + 0.110663i \(0.0352973\pi\)
\(314\) 7.09345 15.5325i 0.400306 0.876549i
\(315\) 3.23498 + 2.07900i 0.182271 + 0.117138i
\(316\) 10.0335 2.94610i 0.564428 0.165731i
\(317\) 10.1232 + 11.6828i 0.568577 + 0.656173i 0.965109 0.261848i \(-0.0843319\pi\)
−0.396532 + 0.918021i \(0.629786\pi\)
\(318\) −2.60617 0.765242i −0.146147 0.0429126i
\(319\) −9.50321 20.8091i −0.532077 1.16509i
\(320\) 0.142315 0.989821i 0.00795564 0.0553327i
\(321\) 2.46798 0.137749
\(322\) 16.2623 8.69743i 0.906265 0.484689i
\(323\) −26.4263 −1.47040
\(324\) −0.142315 + 0.989821i −0.00790638 + 0.0549901i
\(325\) 2.51536 + 5.50788i 0.139527 + 0.305522i
\(326\) −4.56148 1.33937i −0.252637 0.0741809i
\(327\) −2.35457 2.71732i −0.130208 0.150268i
\(328\) 5.10820 1.49990i 0.282053 0.0828183i
\(329\) 9.94496 + 6.39124i 0.548283 + 0.352360i
\(330\) 1.27323 2.78798i 0.0700888 0.153473i
\(331\) −4.81080 + 5.55196i −0.264425 + 0.305163i −0.872399 0.488794i \(-0.837437\pi\)
0.607974 + 0.793957i \(0.291983\pi\)
\(332\) −5.76941 + 3.70778i −0.316638 + 0.203491i
\(333\) 0.148536 + 1.03309i 0.00813970 + 0.0566128i
\(334\) −0.440477 3.06359i −0.0241018 0.167632i
\(335\) −9.37084 + 6.02228i −0.511984 + 0.329032i
\(336\) 2.51822 2.90618i 0.137380 0.158545i
\(337\) −5.56352 + 12.1824i −0.303064 + 0.663618i −0.998487 0.0549828i \(-0.982490\pi\)
0.695423 + 0.718600i \(0.255217\pi\)
\(338\) −19.9072 12.7936i −1.08281 0.695879i
\(339\) 0.684087 0.200866i 0.0371545 0.0109096i
\(340\) −3.19605 3.68844i −0.173330 0.200034i
\(341\) −27.3175 8.02115i −1.47933 0.434369i
\(342\) −2.24933 4.92535i −0.121630 0.266332i
\(343\) 0.430884 2.99686i 0.0232656 0.161815i
\(344\) −11.6017 −0.625521
\(345\) 3.42049 3.36159i 0.184153 0.180982i
\(346\) 16.7748 0.901817
\(347\) 0.609118 4.23651i 0.0326992 0.227428i −0.966918 0.255086i \(-0.917896\pi\)
0.999617 + 0.0276587i \(0.00880516\pi\)
\(348\) −3.10060 6.78938i −0.166210 0.363949i
\(349\) −26.4639 7.77050i −1.41658 0.415945i −0.518235 0.855238i \(-0.673411\pi\)
−0.898344 + 0.439293i \(0.855229\pi\)
\(350\) −2.51822 2.90618i −0.134605 0.155342i
\(351\) −5.80979 + 1.70591i −0.310103 + 0.0910546i
\(352\) −2.57840 1.65704i −0.137429 0.0883204i
\(353\) −6.66261 + 14.5891i −0.354615 + 0.776498i 0.645306 + 0.763924i \(0.276730\pi\)
−0.999921 + 0.0125742i \(0.995997\pi\)
\(354\) 4.33608 5.00410i 0.230460 0.265965i
\(355\) 11.2207 7.21110i 0.595532 0.382725i
\(356\) −0.488242 3.39580i −0.0258768 0.179977i
\(357\) −2.67091 18.5766i −0.141360 0.983179i
\(358\) −18.2309 + 11.7163i −0.963532 + 0.619224i
\(359\) −16.6495 + 19.2146i −0.878729 + 1.01411i 0.121040 + 0.992648i \(0.461377\pi\)
−0.999770 + 0.0214603i \(0.993168\pi\)
\(360\) 0.415415 0.909632i 0.0218943 0.0479418i
\(361\) 8.68053 + 5.57864i 0.456870 + 0.293613i
\(362\) −15.3647 + 4.51148i −0.807551 + 0.237118i
\(363\) 1.05175 + 1.21379i 0.0552026 + 0.0637072i
\(364\) 22.3411 + 6.55995i 1.17099 + 0.343835i
\(365\) −6.40019 14.0145i −0.335001 0.733550i
\(366\) −0.818836 + 5.69513i −0.0428013 + 0.297689i
\(367\) 4.86933 0.254177 0.127089 0.991891i \(-0.459437\pi\)
0.127089 + 0.991891i \(0.459437\pi\)
\(368\) −2.84059 3.86407i −0.148076 0.201429i
\(369\) 5.32386 0.277149
\(370\) 0.148536 1.03309i 0.00772199 0.0537076i
\(371\) 4.33899 + 9.50107i 0.225269 + 0.493271i
\(372\) −8.91287 2.61705i −0.462111 0.135688i
\(373\) −6.03879 6.96913i −0.312676 0.360848i 0.577559 0.816349i \(-0.304005\pi\)
−0.890235 + 0.455501i \(0.849460\pi\)
\(374\) −14.3526 + 4.21430i −0.742155 + 0.217916i
\(375\) −0.841254 0.540641i −0.0434421 0.0279186i
\(376\) 1.27707 2.79638i 0.0658596 0.144212i
\(377\) 29.5959 34.1555i 1.52427 1.75910i
\(378\) 3.23498 2.07900i 0.166390 0.106932i
\(379\) −2.59669 18.0604i −0.133383 0.927699i −0.941100 0.338128i \(-0.890206\pi\)
0.807717 0.589570i \(-0.200703\pi\)
\(380\) 0.770587 + 5.35955i 0.0395303 + 0.274939i
\(381\) −14.0350 + 9.01972i −0.719032 + 0.462094i
\(382\) 12.9057 14.8940i 0.660315 0.762044i
\(383\) 8.19442 17.9433i 0.418715 0.916858i −0.576310 0.817231i \(-0.695508\pi\)
0.995025 0.0996268i \(-0.0317649\pi\)
\(384\) −0.841254 0.540641i −0.0429300 0.0275895i
\(385\) −11.3086 + 3.32052i −0.576342 + 0.169229i
\(386\) 15.8062 + 18.2414i 0.804517 + 0.928462i
\(387\) −11.1317 3.26857i −0.565858 0.166151i
\(388\) 0.589529 + 1.29089i 0.0299288 + 0.0655350i
\(389\) 3.32009 23.0917i 0.168335 1.17080i −0.713989 0.700157i \(-0.753113\pi\)
0.882325 0.470641i \(-0.155977\pi\)
\(390\) 6.05506 0.306610
\(391\) −23.3311 1.87245i −1.17990 0.0946940i
\(392\) −7.78735 −0.393320
\(393\) −2.76366 + 19.2217i −0.139408 + 0.969605i
\(394\) −4.23722 9.27823i −0.213468 0.467430i
\(395\) −10.0335 2.94610i −0.504840 0.148234i
\(396\) −2.00712 2.31634i −0.100861 0.116400i
\(397\) 13.9787 4.10452i 0.701572 0.206000i 0.0885565 0.996071i \(-0.471775\pi\)
0.613015 + 0.790071i \(0.289956\pi\)
\(398\) −4.51703 2.90292i −0.226418 0.145510i
\(399\) −8.64965 + 18.9401i −0.433024 + 0.948191i
\(400\) −0.654861 + 0.755750i −0.0327430 + 0.0377875i
\(401\) −9.33830 + 6.00136i −0.466333 + 0.299694i −0.752626 0.658448i \(-0.771213\pi\)
0.286293 + 0.958142i \(0.407577\pi\)
\(402\) 1.58527 + 11.0258i 0.0790658 + 0.549915i
\(403\) −8.00469 55.6738i −0.398742 2.77331i
\(404\) 2.97959 1.91487i 0.148240 0.0952681i
\(405\) 0.654861 0.755750i 0.0325403 0.0375535i
\(406\) −11.9232 + 26.1081i −0.591737 + 1.29572i
\(407\) −2.69111 1.72947i −0.133393 0.0857266i
\(408\) −4.68281 + 1.37500i −0.231834 + 0.0680725i
\(409\) −13.4845 15.5620i −0.666767 0.769490i 0.317100 0.948392i \(-0.397291\pi\)
−0.983867 + 0.178902i \(0.942746\pi\)
\(410\) −5.10820 1.49990i −0.252276 0.0740749i
\(411\) −0.200294 0.438583i −0.00987978 0.0216337i
\(412\) 2.52848 17.5860i 0.124569 0.866398i
\(413\) −25.4621 −1.25291
\(414\) −1.63689 4.50784i −0.0804486 0.221548i
\(415\) 6.85811 0.336652
\(416\) 0.861725 5.99343i 0.0422495 0.293852i
\(417\) −0.914666 2.00284i −0.0447914 0.0980795i
\(418\) 15.9234 + 4.67554i 0.778841 + 0.228688i
\(419\) −19.3576 22.3398i −0.945679 1.09137i −0.995701 0.0926235i \(-0.970475\pi\)
0.0500224 0.998748i \(-0.484071\pi\)
\(420\) −3.68966 + 1.08338i −0.180037 + 0.0528637i
\(421\) 6.42699 + 4.13038i 0.313232 + 0.201302i 0.687805 0.725895i \(-0.258574\pi\)
−0.374573 + 0.927197i \(0.622211\pi\)
\(422\) 6.71508 14.7040i 0.326885 0.715778i
\(423\) 2.01317 2.32332i 0.0978836 0.112964i
\(424\) 2.28501 1.46849i 0.110970 0.0713161i
\(425\) 0.694568 + 4.83083i 0.0336915 + 0.234330i
\(426\) −1.89820 13.2023i −0.0919683 0.639653i
\(427\) 18.6131 11.9619i 0.900751 0.578878i
\(428\) −1.61618 + 1.86517i −0.0781211 + 0.0901566i
\(429\) 7.70947 16.8814i 0.372217 0.815040i
\(430\) 9.75996 + 6.27235i 0.470667 + 0.302479i
\(431\) 32.2552 9.47097i 1.55368 0.456201i 0.611480 0.791260i \(-0.290574\pi\)
0.942197 + 0.335059i \(0.108756\pi\)
\(432\) −0.654861 0.755750i −0.0315070 0.0363610i
\(433\) 5.58923 + 1.64115i 0.268601 + 0.0788684i 0.413260 0.910613i \(-0.364390\pi\)
−0.144658 + 0.989482i \(0.546208\pi\)
\(434\) 14.8389 + 32.4928i 0.712292 + 1.55970i
\(435\) −1.06222 + 7.38790i −0.0509295 + 0.354223i
\(436\) 3.59552 0.172194
\(437\) 20.6524 + 15.7419i 0.987937 + 0.753036i
\(438\) −15.4067 −0.736162
\(439\) −3.76775 + 26.2053i −0.179825 + 1.25071i 0.677341 + 0.735669i \(0.263132\pi\)
−0.857166 + 0.515040i \(0.827777\pi\)
\(440\) 1.27323 + 2.78798i 0.0606987 + 0.132912i
\(441\) −7.47190 2.19395i −0.355805 0.104474i
\(442\) −19.3523 22.3337i −0.920494 1.06231i
\(443\) −3.03802 + 0.892042i −0.144341 + 0.0423822i −0.353105 0.935584i \(-0.614874\pi\)
0.208764 + 0.977966i \(0.433056\pi\)
\(444\) −0.878025 0.564273i −0.0416692 0.0267792i
\(445\) −1.42517 + 3.12069i −0.0675596 + 0.147935i
\(446\) 7.86965 9.08206i 0.372639 0.430048i
\(447\) −2.19297 + 1.40934i −0.103724 + 0.0666594i
\(448\) 0.547262 + 3.80629i 0.0258557 + 0.179830i
\(449\) 1.06967 + 7.43975i 0.0504811 + 0.351103i 0.999370 + 0.0354931i \(0.0113002\pi\)
−0.948889 + 0.315610i \(0.897791\pi\)
\(450\) −0.841254 + 0.540641i −0.0396571 + 0.0254861i
\(451\) −10.6856 + 12.3318i −0.503165 + 0.580684i
\(452\) −0.296177 + 0.648538i −0.0139310 + 0.0305047i
\(453\) 16.6099 + 10.6746i 0.780403 + 0.501535i
\(454\) 10.6254 3.11991i 0.498676 0.146425i
\(455\) −15.2480 17.5971i −0.714837 0.824965i
\(456\) 5.19533 + 1.52549i 0.243294 + 0.0714375i
\(457\) 9.70564 + 21.2524i 0.454010 + 0.994144i 0.988812 + 0.149167i \(0.0476591\pi\)
−0.534802 + 0.844978i \(0.679614\pi\)
\(458\) 0.650106 4.52159i 0.0303775 0.211280i
\(459\) −4.88050 −0.227802
\(460\) 0.300576 + 4.78640i 0.0140144 + 0.223167i
\(461\) 34.3912 1.60176 0.800879 0.598826i \(-0.204366\pi\)
0.800879 + 0.598826i \(0.204366\pi\)
\(462\) −1.67733 + 11.6661i −0.0780365 + 0.542756i
\(463\) 3.32011 + 7.27003i 0.154299 + 0.337867i 0.970957 0.239255i \(-0.0769031\pi\)
−0.816658 + 0.577122i \(0.804176\pi\)
\(464\) 7.16153 + 2.10282i 0.332466 + 0.0976208i
\(465\) 6.08310 + 7.02027i 0.282097 + 0.325557i
\(466\) −27.2509 + 8.00159i −1.26237 + 0.370667i
\(467\) 16.4693 + 10.5842i 0.762108 + 0.489777i 0.863052 0.505115i \(-0.168550\pi\)
−0.100944 + 0.994892i \(0.532186\pi\)
\(468\) 2.51536 5.50788i 0.116273 0.254602i
\(469\) 28.0508 32.3724i 1.29527 1.49482i
\(470\) −2.58617 + 1.66203i −0.119291 + 0.0766639i
\(471\) 2.43011 + 16.9018i 0.111973 + 0.778792i
\(472\) 0.942320 + 6.55398i 0.0433738 + 0.301671i
\(473\) 29.9138 19.2244i 1.37544 0.883941i
\(474\) −6.84793 + 7.90293i −0.314536 + 0.362993i
\(475\) 2.24933 4.92535i 0.103206 0.225991i
\(476\) 15.7883 + 10.1466i 0.723658 + 0.465067i
\(477\) 2.60617 0.765242i 0.119328 0.0350380i
\(478\) −1.13581 1.31079i −0.0519507 0.0599543i
\(479\) 6.71320 + 1.97117i 0.306734 + 0.0900652i 0.431477 0.902124i \(-0.357993\pi\)
−0.124743 + 0.992189i \(0.539811\pi\)
\(480\) 0.415415 + 0.909632i 0.0189610 + 0.0415188i
\(481\) 0.899391 6.25540i 0.0410087 0.285222i
\(482\) 0.0444673 0.00202543
\(483\) −8.97856 + 16.1088i −0.408539 + 0.732977i
\(484\) −1.60607 −0.0730031
\(485\) 0.201964 1.40469i 0.00917070 0.0637836i
\(486\) −0.415415 0.909632i −0.0188436 0.0412617i
\(487\) 14.7121 + 4.31987i 0.666670 + 0.195752i 0.597519 0.801854i \(-0.296153\pi\)
0.0691501 + 0.997606i \(0.477971\pi\)
\(488\) −3.76787 4.34835i −0.170563 0.196841i
\(489\) 4.56148 1.33937i 0.206277 0.0605685i
\(490\) 6.55113 + 4.21016i 0.295950 + 0.190195i
\(491\) −14.9584 + 32.7544i −0.675065 + 1.47819i 0.192723 + 0.981253i \(0.438268\pi\)
−0.867789 + 0.496934i \(0.834459\pi\)
\(492\) −3.48638 + 4.02350i −0.157178 + 0.181393i
\(493\) 30.6447 19.6942i 1.38017 0.886981i
\(494\) 4.66595 + 32.4524i 0.209931 + 1.46010i
\(495\) 0.436188 + 3.03376i 0.0196052 + 0.136357i
\(496\) 7.81453 5.02209i 0.350883 0.225499i
\(497\) −33.5882 + 38.7628i −1.50664 + 1.73875i
\(498\) 2.84896 6.23836i 0.127665 0.279548i
\(499\) 2.44744 + 1.57287i 0.109562 + 0.0704115i 0.594275 0.804262i \(-0.297439\pi\)
−0.484712 + 0.874674i \(0.661076\pi\)
\(500\) 0.959493 0.281733i 0.0429098 0.0125995i
\(501\) 2.02685 + 2.33911i 0.0905531 + 0.104504i
\(502\) −9.81177 2.88100i −0.437921 0.128585i
\(503\) −9.00933 19.7277i −0.401706 0.879614i −0.997094 0.0761760i \(-0.975729\pi\)
0.595388 0.803438i \(-0.296998\pi\)
\(504\) −0.547262 + 3.80629i −0.0243770 + 0.169546i
\(505\) −3.54184 −0.157610
\(506\) 13.7271 + 5.25618i 0.610244 + 0.233666i
\(507\) 23.6637 1.05094
\(508\) 2.37429 16.5136i 0.105342 0.732671i
\(509\) 9.09940 + 19.9249i 0.403324 + 0.883156i 0.996922 + 0.0783947i \(0.0249794\pi\)
−0.593599 + 0.804761i \(0.702293\pi\)
\(510\) 4.68281 + 1.37500i 0.207358 + 0.0608859i
\(511\) 38.7976 + 44.7748i 1.71630 + 1.98072i
\(512\) 0.959493 0.281733i 0.0424040 0.0124509i
\(513\) 4.55510 + 2.92739i 0.201113 + 0.129247i
\(514\) −1.99699 + 4.37279i −0.0880834 + 0.192876i
\(515\) −11.6348 + 13.4272i −0.512690 + 0.591675i
\(516\) 9.75996 6.27235i 0.429658 0.276125i
\(517\) 1.34093 + 9.32635i 0.0589739 + 0.410172i
\(518\) 0.571183 + 3.97267i 0.0250963 + 0.174549i
\(519\) −14.1118 + 9.06912i −0.619441 + 0.398090i
\(520\) −3.96522 + 4.57611i −0.173886 + 0.200676i
\(521\) −4.19311 + 9.18164i −0.183704 + 0.402255i −0.978970 0.204006i \(-0.934604\pi\)
0.795266 + 0.606261i \(0.207331\pi\)
\(522\) 6.27901 + 4.03527i 0.274825 + 0.176619i
\(523\) −30.2327 + 8.87712i −1.32198 + 0.388169i −0.865208 0.501413i \(-0.832814\pi\)
−0.456775 + 0.889582i \(0.650996\pi\)
\(524\) −12.7170 14.6762i −0.555543 0.641131i
\(525\) 3.68966 + 1.08338i 0.161030 + 0.0472827i
\(526\) −0.483386 1.05847i −0.0210766 0.0461514i
\(527\) 6.45194 44.8743i 0.281051 1.95475i
\(528\) 3.06495 0.133385
\(529\) 17.1180 + 15.3614i 0.744262 + 0.667888i
\(530\) −2.71620 −0.117984
\(531\) −0.942320 + 6.55398i −0.0408932 + 0.284419i
\(532\) −8.64965 18.9401i −0.375010 0.821157i
\(533\) −30.9305 9.08200i −1.33975 0.393385i
\(534\) 2.24664 + 2.59276i 0.0972217 + 0.112200i
\(535\) 2.36801 0.695310i 0.102378 0.0300609i
\(536\) −9.37084 6.02228i −0.404759 0.260123i
\(537\) 9.00249 19.7127i 0.388486 0.850666i
\(538\) 5.56133 6.41812i 0.239766 0.276705i
\(539\) 20.0789 12.9039i 0.864860 0.555812i
\(540\) 0.142315 + 0.989821i 0.00612426 + 0.0425951i
\(541\) −0.770902 5.36174i −0.0331437 0.230519i 0.966516 0.256606i \(-0.0826044\pi\)
−0.999660 + 0.0260871i \(0.991695\pi\)
\(542\) −0.294818 + 0.189468i −0.0126635 + 0.00813834i
\(543\) 10.4865 12.1021i 0.450019 0.519350i
\(544\) 2.02743 4.43946i 0.0869256 0.190340i
\(545\) −3.02475 1.94389i −0.129566 0.0832670i
\(546\) −22.3411 + 6.55995i −0.956113 + 0.280740i
\(547\) −10.7400 12.3946i −0.459208 0.529954i 0.478170 0.878267i \(-0.341300\pi\)
−0.937378 + 0.348313i \(0.886755\pi\)
\(548\) 0.462624 + 0.135839i 0.0197623 + 0.00580273i
\(549\) −2.39017 5.23375i −0.102010 0.223371i
\(550\) 0.436188 3.03376i 0.0185991 0.129360i
\(551\) −40.4144 −1.72171
\(552\) 4.47873 + 1.71493i 0.190627 + 0.0729923i
\(553\) 40.2120 1.70999
\(554\) 3.18066 22.1219i 0.135133 0.939871i
\(555\) 0.433573 + 0.949393i 0.0184042 + 0.0402995i
\(556\) 2.11262 + 0.620323i 0.0895952 + 0.0263075i
\(557\) 3.13883 + 3.62241i 0.132997 + 0.153486i 0.818341 0.574732i \(-0.194894\pi\)
−0.685345 + 0.728219i \(0.740348\pi\)
\(558\) 8.91287 2.61705i 0.377312 0.110789i
\(559\) 59.0972 + 37.9794i 2.49954 + 1.60636i
\(560\) 1.59745 3.49793i 0.0675046 0.147814i
\(561\) 9.79574 11.3049i 0.413577 0.477293i
\(562\) −3.88167 + 2.49460i −0.163738 + 0.105228i
\(563\) −0.450218 3.13134i −0.0189744 0.131970i 0.978132 0.207983i \(-0.0666900\pi\)
−0.997107 + 0.0760132i \(0.975781\pi\)
\(564\) 0.437503 + 3.04290i 0.0184222 + 0.128129i
\(565\) 0.599787 0.385459i 0.0252332 0.0162164i
\(566\) −6.06215 + 6.99609i −0.254811 + 0.294068i
\(567\) −1.59745 + 3.49793i −0.0670866 + 0.146899i
\(568\) 11.2207 + 7.21110i 0.470810 + 0.302571i
\(569\) 1.22787 0.360535i 0.0514750 0.0151144i −0.255894 0.966705i \(-0.582370\pi\)
0.307369 + 0.951591i \(0.400552\pi\)
\(570\) −3.54585 4.09213i −0.148519 0.171400i
\(571\) −0.392300 0.115190i −0.0164172 0.00482054i 0.273514 0.961868i \(-0.411814\pi\)
−0.289931 + 0.957048i \(0.593632\pi\)
\(572\) 7.70947 + 16.8814i 0.322349 + 0.705846i
\(573\) −2.80468 + 19.5070i −0.117167 + 0.814917i
\(574\) 20.4725 0.854507
\(575\) 2.33486 4.18908i 0.0973706 0.174697i
\(576\) 1.00000 0.0416667
\(577\) 4.09206 28.4609i 0.170355 1.18484i −0.707782 0.706431i \(-0.750304\pi\)
0.878136 0.478411i \(-0.158787\pi\)
\(578\) −2.83285 6.20308i −0.117831 0.258014i
\(579\) −23.1591 6.80012i −0.962459 0.282603i
\(580\) −4.88780 5.64082i −0.202955 0.234222i
\(581\) −25.3041 + 7.42997i −1.04979 + 0.308247i
\(582\) −1.19385 0.767241i −0.0494867 0.0318032i
\(583\) −3.45834 + 7.57270i −0.143230 + 0.313629i
\(584\) 10.0893 11.6436i 0.417497 0.481817i
\(585\) −5.09384 + 3.27361i −0.210604 + 0.135347i
\(586\) −0.851642 5.92330i −0.0351810 0.244689i
\(587\) −4.92725 34.2698i −0.203369 1.41447i −0.794193 0.607665i \(-0.792106\pi\)
0.590824 0.806800i \(-0.298803\pi\)
\(588\) 6.55113 4.21016i 0.270164 0.173624i
\(589\) −32.9379 + 38.0124i −1.35718 + 1.56627i
\(590\) 2.75062 6.02302i 0.113241 0.247964i
\(591\) 8.58077 + 5.51452i 0.352966 + 0.226837i
\(592\) 1.00143 0.294047i 0.0411586 0.0120853i
\(593\) 22.6874 + 26.1826i 0.931658 + 1.07519i 0.997006 + 0.0773280i \(0.0246389\pi\)
−0.0653478 + 0.997863i \(0.520816\pi\)
\(594\) 2.94080 + 0.863497i 0.120662 + 0.0354297i
\(595\) −7.79636 17.0717i −0.319620 0.699870i
\(596\) 0.370985 2.58026i 0.0151961 0.105691i
\(597\) 5.36940 0.219755
\(598\) 1.82001 + 28.9820i 0.0744256 + 1.18516i
\(599\) 18.3410 0.749392 0.374696 0.927148i \(-0.377747\pi\)
0.374696 + 0.927148i \(0.377747\pi\)
\(600\) 0.142315 0.989821i 0.00580998 0.0404093i
\(601\) 4.97210 + 10.8874i 0.202816 + 0.444106i 0.983521 0.180795i \(-0.0578669\pi\)
−0.780705 + 0.624900i \(0.785140\pi\)
\(602\) −42.8063 12.5691i −1.74466 0.512277i
\(603\) −7.29459 8.41840i −0.297059 0.342824i
\(604\) −18.9445 + 5.56260i −0.770840 + 0.226339i
\(605\) 1.35111 + 0.868306i 0.0549305 + 0.0353017i
\(606\) −1.47134 + 3.22177i −0.0597689 + 0.130876i
\(607\) 19.5656 22.5799i 0.794143 0.916490i −0.203902 0.978991i \(-0.565362\pi\)
0.998045 + 0.0625016i \(0.0199079\pi\)
\(608\) −4.55510 + 2.92739i −0.184734 + 0.118721i
\(609\) −4.08469 28.4097i −0.165520 1.15122i
\(610\) 0.818836 + 5.69513i 0.0331537 + 0.230589i
\(611\) −15.6594 + 10.0637i −0.633513 + 0.407134i
\(612\) 3.19605 3.68844i 0.129193 0.149096i
\(613\) 4.45461 9.75422i 0.179920 0.393969i −0.798087 0.602542i \(-0.794155\pi\)
0.978007 + 0.208573i \(0.0668818\pi\)
\(614\) 17.0499 + 10.9573i 0.688077 + 0.442200i
\(615\) 5.10820 1.49990i 0.205983 0.0604819i
\(616\) −7.71823 8.90731i −0.310976 0.358886i
\(617\) −31.6401 9.29037i −1.27378 0.374016i −0.426176 0.904640i \(-0.640139\pi\)
−0.847607 + 0.530624i \(0.821958\pi\)
\(618\) 7.38059 + 16.1612i 0.296891 + 0.650101i
\(619\) −3.60712 + 25.0881i −0.144982 + 1.00837i 0.779296 + 0.626656i \(0.215577\pi\)
−0.924278 + 0.381719i \(0.875332\pi\)
\(620\) −9.28914 −0.373061
\(621\) 3.81416 + 2.90727i 0.153057 + 0.116665i
\(622\) −8.90698 −0.357137
\(623\) 1.87750 13.0583i 0.0752205 0.523170i
\(624\) 2.51536 + 5.50788i 0.100695 + 0.220491i
\(625\) −0.959493 0.281733i −0.0383797 0.0112693i
\(626\) −13.1429 15.1677i −0.525296 0.606224i
\(627\) −15.9234 + 4.67554i −0.635921 + 0.186723i
\(628\) −14.3649 9.23175i −0.573221 0.368387i
\(629\) 2.11606 4.63351i 0.0843726 0.184750i
\(630\) 2.51822 2.90618i 0.100328 0.115785i
\(631\) −19.3925 + 12.4628i −0.772002 + 0.496136i −0.866371 0.499402i \(-0.833553\pi\)
0.0943685 + 0.995537i \(0.469917\pi\)
\(632\) −1.48820 10.3506i −0.0591973 0.411726i
\(633\) 2.30048 + 16.0002i 0.0914360 + 0.635951i
\(634\) 13.0046 8.35755i 0.516479 0.331921i
\(635\) −10.9253 + 12.6085i −0.433557 + 0.500351i
\(636\) −1.12835 + 2.47074i −0.0447420 + 0.0979712i
\(637\) 39.6675 + 25.4927i 1.57168 + 1.01006i
\(638\) −21.9498 + 6.44503i −0.868999 + 0.255161i
\(639\) 8.73457 + 10.0802i 0.345534 + 0.398768i
\(640\) −0.959493 0.281733i −0.0379273 0.0111365i
\(641\) 17.0034 + 37.2324i 0.671596 + 1.47059i 0.871309 + 0.490735i \(0.163272\pi\)
−0.199713 + 0.979854i \(0.564001\pi\)
\(642\) 0.351230 2.44286i 0.0138619 0.0964119i
\(643\) 27.6361 1.08986 0.544930 0.838481i \(-0.316556\pi\)
0.544930 + 0.838481i \(0.316556\pi\)
\(644\) −6.29453 17.3346i −0.248039 0.683078i
\(645\) −11.6017 −0.456816
\(646\) −3.76085 + 26.1573i −0.147969 + 1.02915i
\(647\) 20.3398 + 44.5379i 0.799640 + 1.75097i 0.646719 + 0.762729i \(0.276141\pi\)
0.152921 + 0.988238i \(0.451132\pi\)
\(648\) 0.959493 + 0.281733i 0.0376924 + 0.0110675i
\(649\) −13.2899 15.3373i −0.521673 0.602043i
\(650\) 5.80979 1.70591i 0.227879 0.0669112i
\(651\) −30.0502 19.3121i −1.17776 0.756901i
\(652\) −1.97490 + 4.32444i −0.0773432 + 0.169358i
\(653\) −29.4183 + 33.9505i −1.15123 + 1.32859i −0.215237 + 0.976562i \(0.569053\pi\)
−0.935990 + 0.352026i \(0.885493\pi\)
\(654\) −3.02475 + 1.94389i −0.118277 + 0.0760120i
\(655\) 2.76366 + 19.2217i 0.107985 + 0.751053i
\(656\) −0.757664 5.26967i −0.0295818 0.205746i
\(657\) 12.9610 8.32951i 0.505656 0.324965i
\(658\) 7.74150 8.93416i 0.301795 0.348290i
\(659\) 18.0413 39.5050i 0.702791 1.53890i −0.133763 0.991013i \(-0.542706\pi\)
0.836554 0.547885i \(-0.184567\pi\)
\(660\) −2.57840 1.65704i −0.100364 0.0645001i
\(661\) −31.6985 + 9.30753i −1.23293 + 0.362021i −0.832355 0.554243i \(-0.813008\pi\)
−0.400575 + 0.916264i \(0.631190\pi\)
\(662\) 4.81080 + 5.55196i 0.186977 + 0.215783i
\(663\) 28.3547 + 8.32569i 1.10120 + 0.323343i
\(664\) 2.84896 + 6.23836i 0.110561 + 0.242095i
\(665\) −2.96324 + 20.6098i −0.114909 + 0.799213i
\(666\) 1.04371 0.0404430
\(667\) −35.6808 2.86359i −1.38156 0.110879i
\(668\) −3.09509 −0.119753
\(669\) −1.71024 + 11.8950i −0.0661217 + 0.459886i
\(670\) 4.62737 + 10.1325i 0.178771 + 0.391453i
\(671\) 16.9205 + 4.96830i 0.653207 + 0.191799i
\(672\) −2.51822 2.90618i −0.0971425 0.112108i
\(673\) 6.34127 1.86197i 0.244438 0.0717735i −0.157219 0.987564i \(-0.550253\pi\)
0.401657 + 0.915790i \(0.368435\pi\)
\(674\) 11.2666 + 7.24062i 0.433974 + 0.278898i
\(675\) 0.415415 0.909632i 0.0159893 0.0350118i
\(676\) −15.4965 + 17.8839i −0.596018 + 0.687841i
\(677\) −2.08538 + 1.34020i −0.0801479 + 0.0515079i −0.580101 0.814545i \(-0.696987\pi\)
0.499953 + 0.866052i \(0.333351\pi\)
\(678\) −0.101466 0.705711i −0.00389677 0.0271027i
\(679\) 0.776638 + 5.40163i 0.0298046 + 0.207296i
\(680\) −4.10574 + 2.63860i −0.157448 + 0.101186i
\(681\) −7.25193 + 8.36917i −0.277895 + 0.320707i
\(682\) −11.8272 + 25.8979i −0.452887 + 0.991683i
\(683\) 16.1015 + 10.3478i 0.616108 + 0.395949i 0.811143 0.584848i \(-0.198846\pi\)
−0.195035 + 0.980796i \(0.562482\pi\)
\(684\) −5.19533 + 1.52549i −0.198648 + 0.0583284i
\(685\) −0.315744 0.364388i −0.0120640 0.0139225i
\(686\) −2.90504 0.852997i −0.110915 0.0325676i
\(687\) 1.89765 + 4.15528i 0.0723999 + 0.158534i
\(688\) −1.65109 + 11.4836i −0.0629473 + 0.437808i
\(689\) −16.4467 −0.626571
\(690\) −2.84059 3.86407i −0.108139 0.147103i
\(691\) −45.9941 −1.74970 −0.874848 0.484397i \(-0.839039\pi\)
−0.874848 + 0.484397i \(0.839039\pi\)
\(692\) 2.38730 16.6040i 0.0907515 0.631190i
\(693\) −4.89611 10.7210i −0.185988 0.407256i
\(694\) −4.10670 1.20584i −0.155888 0.0457729i
\(695\) −1.44188 1.66402i −0.0546937 0.0631199i
\(696\) −7.16153 + 2.10282i −0.271457 + 0.0797070i
\(697\) −21.8584 14.0475i −0.827945 0.532088i
\(698\) −11.4576 + 25.0887i −0.433677 + 0.949620i
\(699\) 18.5989 21.4643i 0.703477 0.811855i
\(700\) −3.23498 + 2.07900i −0.122271 + 0.0785787i
\(701\) −3.63951 25.3134i −0.137463 0.956073i −0.935465 0.353419i \(-0.885019\pi\)
0.798003 0.602654i \(-0.205890\pi\)
\(702\) 0.861725 + 5.99343i 0.0325237 + 0.226207i
\(703\) −4.75421 + 3.05535i −0.179308 + 0.115235i
\(704\) −2.00712 + 2.31634i −0.0756461 + 0.0873002i
\(705\) 1.27707 2.79638i 0.0480971 0.105318i
\(706\) 13.4924 + 8.67104i 0.507793 + 0.326339i
\(707\) 13.0682 3.83717i 0.491481 0.144312i
\(708\) −4.33608 5.00410i −0.162960 0.188066i
\(709\) −27.9383 8.20342i −1.04924 0.308086i −0.288732 0.957410i \(-0.593234\pi\)
−0.760512 + 0.649324i \(0.775052\pi\)
\(710\) −5.54083 12.1327i −0.207944 0.455333i
\(711\) 1.48820 10.3506i 0.0558117 0.388179i
\(712\) −3.43072 −0.128572
\(713\) −31.7734 + 31.2263i −1.18992 + 1.16943i
\(714\) −18.7676 −0.702362
\(715\) 2.64115 18.3696i 0.0987732 0.686983i
\(716\) 9.00249 + 19.7127i 0.336439 + 0.736699i
\(717\) 1.66417 + 0.488645i 0.0621497 + 0.0182488i
\(718\) 16.6495 + 19.2146i 0.621356 + 0.717083i
\(719\) 36.6066 10.7487i 1.36520 0.400858i 0.484604 0.874733i \(-0.338964\pi\)
0.880592 + 0.473876i \(0.157145\pi\)
\(720\) −0.841254 0.540641i −0.0313517 0.0201485i
\(721\) 28.3816 62.1470i 1.05698 2.31447i
\(722\) 6.75723 7.79826i 0.251478 0.290221i
\(723\) −0.0374083 + 0.0240408i −0.00139123 + 0.000894089i
\(724\) 2.27894 + 15.8504i 0.0846960 + 0.589074i
\(725\) 1.06222 + 7.38790i 0.0394499 + 0.274380i
\(726\) 1.35111 0.868306i 0.0501444 0.0322259i
\(727\) 17.1593 19.8029i 0.636402 0.734447i −0.342332 0.939579i \(-0.611217\pi\)
0.978734 + 0.205132i \(0.0657623\pi\)
\(728\) 9.67266 21.1802i 0.358492 0.784989i
\(729\) 0.841254 + 0.540641i 0.0311575 + 0.0200237i
\(730\) −14.7827 + 4.34058i −0.547131 + 0.160652i
\(731\) 37.0796 + 42.7921i 1.37144 + 1.58272i
\(732\) 5.52063 + 1.62100i 0.204048 + 0.0599140i
\(733\) −0.732875 1.60477i −0.0270694 0.0592736i 0.895614 0.444831i \(-0.146736\pi\)
−0.922684 + 0.385558i \(0.874009\pi\)
\(734\) 0.692978 4.81977i 0.0255783 0.177901i
\(735\) −7.78735 −0.287241
\(736\) −4.22900 + 2.26176i −0.155883 + 0.0833695i
\(737\) 34.1409 1.25760
\(738\) 0.757664 5.26967i 0.0278900 0.193979i
\(739\) 0.100690 + 0.220480i 0.00370394 + 0.00811049i 0.911475 0.411356i \(-0.134945\pi\)
−0.907771 + 0.419466i \(0.862217\pi\)
\(740\) −1.00143 0.294047i −0.0368134 0.0108094i
\(741\) −21.4703 24.7781i −0.788732 0.910246i
\(742\) 10.0219 2.94268i 0.367914 0.108029i
\(743\) 17.0647 + 10.9668i 0.626043 + 0.402333i 0.814842 0.579682i \(-0.196823\pi\)
−0.188800 + 0.982016i \(0.560460\pi\)
\(744\) −3.85885 + 8.44970i −0.141472 + 0.309781i
\(745\) −1.70708 + 1.97008i −0.0625428 + 0.0721782i
\(746\) −7.75760 + 4.98551i −0.284026 + 0.182532i
\(747\) 0.976011 + 6.78831i 0.0357104 + 0.248371i
\(748\) 2.12882 + 14.8063i 0.0778373 + 0.541370i
\(749\) −7.98387 + 5.13092i −0.291724 + 0.187480i
\(750\) −0.654861 + 0.755750i −0.0239121 + 0.0275961i
\(751\) 17.0584 37.3527i 0.622469 1.36302i −0.291240 0.956650i \(-0.594068\pi\)
0.913710 0.406368i \(-0.133205\pi\)
\(752\) −2.58617 1.66203i −0.0943081 0.0606081i
\(753\) 9.81177 2.88100i 0.357561 0.104989i
\(754\) −29.5959 34.1555i −1.07782 1.24387i
\(755\) 18.9445 + 5.56260i 0.689461 + 0.202444i
\(756\) −1.59745 3.49793i −0.0580987 0.127218i
\(757\) −1.40841 + 9.79570i −0.0511895 + 0.356031i 0.948087 + 0.318010i \(0.103014\pi\)
−0.999277 + 0.0380210i \(0.987895\pi\)
\(758\) −18.2461 −0.662728
\(759\) −14.3897 + 2.99965i −0.522312 + 0.108880i
\(760\) 5.41466 0.196410
\(761\) −0.302349 + 2.10289i −0.0109602 + 0.0762296i −0.994567 0.104095i \(-0.966806\pi\)
0.983607 + 0.180324i \(0.0577146\pi\)
\(762\) 6.93053 + 15.1757i 0.251066 + 0.549759i
\(763\) 13.2663 + 3.89533i 0.480272 + 0.141020i
\(764\) −12.9057 14.8940i −0.466913 0.538846i
\(765\) −4.68281 + 1.37500i −0.169307 + 0.0497131i
\(766\) −16.5944 10.6646i −0.599582 0.385328i
\(767\) 16.6552 36.4697i 0.601383 1.31685i
\(768\) −0.654861 + 0.755750i −0.0236303 + 0.0272708i
\(769\) −6.35159 + 4.08192i −0.229044 + 0.147198i −0.650130 0.759823i \(-0.725286\pi\)
0.421086 + 0.907021i \(0.361649\pi\)
\(770\) 1.67733 + 11.6661i 0.0604468 + 0.420417i
\(771\) −0.684137 4.75828i −0.0246386 0.171365i
\(772\) 20.3052 13.0493i 0.730799 0.469656i
\(773\) 0.278771 0.321719i 0.0100267 0.0115714i −0.750714 0.660627i \(-0.770290\pi\)
0.760741 + 0.649056i \(0.224836\p