Properties

Label 105.2.x.a.2.9
Level 105
Weight 2
Character 105.2
Analytic conductor 0.838
Analytic rank 0
Dimension 48
CM no
Inner twists 8

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Newspace parameters

Level: \( N \) = \( 105 = 3 \cdot 5 \cdot 7 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 105.x (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.838429221223\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(12\) over \(\Q(\zeta_{12})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 2.9
Character \(\chi\) = 105.2
Dual form 105.2.x.a.53.9

$q$-expansion

\(f(q)\) \(=\) \(q+(0.340162 + 1.26950i) q^{2} +(0.224146 - 1.71749i) q^{3} +(0.236127 - 0.136328i) q^{4} +(-1.25032 - 1.85383i) q^{5} +(2.25660 - 0.299670i) q^{6} +(2.32676 + 1.25943i) q^{7} +(2.11207 + 2.11207i) q^{8} +(-2.89952 - 0.769934i) q^{9} +O(q^{10})\) \(q+(0.340162 + 1.26950i) q^{2} +(0.224146 - 1.71749i) q^{3} +(0.236127 - 0.136328i) q^{4} +(-1.25032 - 1.85383i) q^{5} +(2.25660 - 0.299670i) q^{6} +(2.32676 + 1.25943i) q^{7} +(2.11207 + 2.11207i) q^{8} +(-2.89952 - 0.769934i) q^{9} +(1.92813 - 2.21789i) q^{10} +(-3.38224 + 1.95274i) q^{11} +(-0.181214 - 0.436101i) q^{12} +(-1.56642 + 1.56642i) q^{13} +(-0.807377 + 3.38224i) q^{14} +(-3.46419 + 1.73188i) q^{15} +(-1.69017 + 2.92747i) q^{16} +(2.58656 + 0.693065i) q^{17} +(-0.00887250 - 3.94284i) q^{18} +(-1.61097 - 0.930096i) q^{19} +(-0.547963 - 0.267285i) q^{20} +(2.68459 - 3.71389i) q^{21} +(-3.62951 - 3.62951i) q^{22} +(2.38315 - 0.638564i) q^{23} +(4.10086 - 3.15404i) q^{24} +(-1.87339 + 4.63578i) q^{25} +(-2.52141 - 1.45574i) q^{26} +(-1.97227 + 4.80730i) q^{27} +(0.721106 - 0.0198165i) q^{28} -0.513153 q^{29} +(-3.37701 - 3.80867i) q^{30} +(-4.29138 - 7.43289i) q^{31} +(1.47892 + 0.396276i) q^{32} +(2.59569 + 6.24665i) q^{33} +3.51939i q^{34} +(-0.574425 - 5.88813i) q^{35} +(-0.789616 + 0.213483i) q^{36} +(-6.60698 + 1.77034i) q^{37} +(0.632766 - 2.36152i) q^{38} +(2.33920 + 3.04142i) q^{39} +(1.27465 - 6.55619i) q^{40} -0.308469i q^{41} +(5.62798 + 2.14477i) q^{42} +(7.60892 - 7.60892i) q^{43} +(-0.532425 + 0.922186i) q^{44} +(2.19800 + 6.33788i) q^{45} +(1.62131 + 2.80820i) q^{46} +(1.36920 + 5.10994i) q^{47} +(4.64904 + 3.55903i) q^{48} +(3.82765 + 5.86081i) q^{49} +(-6.52238 - 0.801352i) q^{50} +(1.77010 - 4.28702i) q^{51} +(-0.156327 + 0.583421i) q^{52} +(-0.498259 + 1.85953i) q^{53} +(-6.77377 - 0.868533i) q^{54} +(7.84894 + 3.82855i) q^{55} +(2.25427 + 7.57430i) q^{56} +(-1.95852 + 2.55835i) q^{57} +(-0.174555 - 0.651448i) q^{58} +(-0.259114 - 0.448799i) q^{59} +(-0.581882 + 0.881208i) q^{60} +(-2.55451 + 4.42454i) q^{61} +(7.97631 - 7.97631i) q^{62} +(-5.77681 - 5.44321i) q^{63} +8.77299i q^{64} +(4.86242 + 0.945351i) q^{65} +(-7.04718 + 5.42010i) q^{66} +(2.34332 - 8.74539i) q^{67} +(0.705238 - 0.188968i) q^{68} +(-0.562551 - 4.23616i) q^{69} +(7.27959 - 2.73215i) q^{70} -15.3749i q^{71} +(-4.49783 - 7.75014i) q^{72} +(2.79871 + 0.749913i) q^{73} +(-4.49489 - 7.78538i) q^{74} +(7.54197 + 4.25660i) q^{75} -0.507191 q^{76} +(-10.3290 + 0.283848i) q^{77} +(-3.06538 + 4.00420i) q^{78} +(4.37551 + 2.52620i) q^{79} +(7.54030 - 0.526980i) q^{80} +(7.81440 + 4.46488i) q^{81} +(0.391602 - 0.104930i) q^{82} +(-9.16088 - 9.16088i) q^{83} +(0.127598 - 1.24293i) q^{84} +(-1.94920 - 5.66159i) q^{85} +(12.2478 + 7.07127i) q^{86} +(-0.115021 + 0.881333i) q^{87} +(-11.2678 - 3.01921i) q^{88} +(5.67519 - 9.82972i) q^{89} +(-7.29828 + 4.94628i) q^{90} +(-5.61750 + 1.67189i) q^{91} +(0.475671 - 0.475671i) q^{92} +(-13.7278 + 5.70434i) q^{93} +(-6.02133 + 3.47641i) q^{94} +(0.289995 + 4.14939i) q^{95} +(1.01209 - 2.45120i) q^{96} +(-6.81964 - 6.81964i) q^{97} +(-6.13829 + 6.85283i) q^{98} +(11.3103 - 3.05789i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 2q^{3} - 24q^{6} - 12q^{7} + O(q^{10}) \) \( 48q - 2q^{3} - 24q^{6} - 12q^{7} - 8q^{10} - 10q^{12} - 16q^{13} + 4q^{15} - 8q^{16} + 14q^{18} - 28q^{21} - 8q^{22} + 4q^{25} + 40q^{27} - 60q^{28} + 40q^{30} - 24q^{31} - 4q^{33} + 8q^{36} + 4q^{37} - 16q^{40} + 14q^{42} + 16q^{43} + 40q^{45} - 32q^{46} + 44q^{48} + 8q^{51} + 36q^{52} - 40q^{55} - 88q^{57} + 56q^{58} - 50q^{60} - 8q^{61} + 44q^{63} + 76q^{66} + 12q^{67} + 140q^{70} - 34q^{72} + 52q^{73} + 6q^{75} + 64q^{76} - 120q^{78} + 20q^{81} + 104q^{82} - 24q^{85} - 46q^{87} - 84q^{90} + 72q^{91} - 44q^{93} + 12q^{96} - 120q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

\(n\) \(22\) \(31\) \(71\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{3}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.340162 + 1.26950i 0.240531 + 0.897673i 0.975577 + 0.219656i \(0.0704937\pi\)
−0.735046 + 0.678017i \(0.762840\pi\)
\(3\) 0.224146 1.71749i 0.129411 0.991591i
\(4\) 0.236127 0.136328i 0.118063 0.0681639i
\(5\) −1.25032 1.85383i −0.559161 0.829059i
\(6\) 2.25660 0.299670i 0.921252 0.122340i
\(7\) 2.32676 + 1.25943i 0.879434 + 0.476021i
\(8\) 2.11207 + 2.11207i 0.746729 + 0.746729i
\(9\) −2.89952 0.769934i −0.966506 0.256645i
\(10\) 1.92813 2.21789i 0.609728 0.701358i
\(11\) −3.38224 + 1.95274i −1.01978 + 0.588773i −0.914041 0.405621i \(-0.867055\pi\)
−0.105743 + 0.994394i \(0.533722\pi\)
\(12\) −0.181214 0.436101i −0.0523120 0.125892i
\(13\) −1.56642 + 1.56642i −0.434448 + 0.434448i −0.890138 0.455691i \(-0.849392\pi\)
0.455691 + 0.890138i \(0.349392\pi\)
\(14\) −0.807377 + 3.38224i −0.215781 + 0.903942i
\(15\) −3.46419 + 1.73188i −0.894449 + 0.447170i
\(16\) −1.69017 + 2.92747i −0.422544 + 0.731867i
\(17\) 2.58656 + 0.693065i 0.627332 + 0.168093i 0.558459 0.829532i \(-0.311393\pi\)
0.0688731 + 0.997625i \(0.478060\pi\)
\(18\) −0.00887250 3.94284i −0.00209127 0.929337i
\(19\) −1.61097 0.930096i −0.369582 0.213379i 0.303694 0.952770i \(-0.401780\pi\)
−0.673276 + 0.739391i \(0.735113\pi\)
\(20\) −0.547963 0.267285i −0.122528 0.0597668i
\(21\) 2.68459 3.71389i 0.585827 0.810436i
\(22\) −3.62951 3.62951i −0.773815 0.773815i
\(23\) 2.38315 0.638564i 0.496921 0.133150i −0.00164943 0.999999i \(-0.500525\pi\)
0.498571 + 0.866849i \(0.333858\pi\)
\(24\) 4.10086 3.15404i 0.837085 0.643815i
\(25\) −1.87339 + 4.63578i −0.374677 + 0.927155i
\(26\) −2.52141 1.45574i −0.494490 0.285494i
\(27\) −1.97227 + 4.80730i −0.379563 + 0.925166i
\(28\) 0.721106 0.0198165i 0.136276 0.00374496i
\(29\) −0.513153 −0.0952901 −0.0476450 0.998864i \(-0.515172\pi\)
−0.0476450 + 0.998864i \(0.515172\pi\)
\(30\) −3.37701 3.80867i −0.616555 0.695365i
\(31\) −4.29138 7.43289i −0.770755 1.33499i −0.937150 0.348928i \(-0.886546\pi\)
0.166394 0.986059i \(-0.446788\pi\)
\(32\) 1.47892 + 0.396276i 0.261439 + 0.0700524i
\(33\) 2.59569 + 6.24665i 0.451851 + 1.08740i
\(34\) 3.51939i 0.603570i
\(35\) −0.574425 5.88813i −0.0970956 0.995275i
\(36\) −0.789616 + 0.213483i −0.131603 + 0.0355804i
\(37\) −6.60698 + 1.77034i −1.08618 + 0.291041i −0.757126 0.653269i \(-0.773397\pi\)
−0.329056 + 0.944311i \(0.606730\pi\)
\(38\) 0.632766 2.36152i 0.102648 0.383088i
\(39\) 2.33920 + 3.04142i 0.374572 + 0.487017i
\(40\) 1.27465 6.55619i 0.201540 1.03662i
\(41\) 0.308469i 0.0481748i −0.999710 0.0240874i \(-0.992332\pi\)
0.999710 0.0240874i \(-0.00766800\pi\)
\(42\) 5.62798 + 2.14477i 0.868416 + 0.330946i
\(43\) 7.60892 7.60892i 1.16035 1.16035i 0.175950 0.984399i \(-0.443700\pi\)
0.984399 0.175950i \(-0.0562999\pi\)
\(44\) −0.532425 + 0.922186i −0.0802660 + 0.139025i
\(45\) 2.19800 + 6.33788i 0.327659 + 0.944796i
\(46\) 1.62131 + 2.80820i 0.239050 + 0.414046i
\(47\) 1.36920 + 5.10994i 0.199719 + 0.745361i 0.990995 + 0.133902i \(0.0427506\pi\)
−0.791276 + 0.611460i \(0.790583\pi\)
\(48\) 4.64904 + 3.55903i 0.671031 + 0.513702i
\(49\) 3.82765 + 5.86081i 0.546807 + 0.837258i
\(50\) −6.52238 0.801352i −0.922404 0.113328i
\(51\) 1.77010 4.28702i 0.247863 0.600304i
\(52\) −0.156327 + 0.583421i −0.0216787 + 0.0809059i
\(53\) −0.498259 + 1.85953i −0.0684411 + 0.255426i −0.991666 0.128834i \(-0.958877\pi\)
0.923225 + 0.384260i \(0.125543\pi\)
\(54\) −6.77377 0.868533i −0.921793 0.118192i
\(55\) 7.84894 + 3.82855i 1.05835 + 0.516242i
\(56\) 2.25427 + 7.57430i 0.301240 + 1.01216i
\(57\) −1.95852 + 2.55835i −0.259412 + 0.338861i
\(58\) −0.174555 0.651448i −0.0229202 0.0855393i
\(59\) −0.259114 0.448799i −0.0337338 0.0584287i 0.848666 0.528930i \(-0.177407\pi\)
−0.882399 + 0.470501i \(0.844073\pi\)
\(60\) −0.581882 + 0.881208i −0.0751207 + 0.113763i
\(61\) −2.55451 + 4.42454i −0.327071 + 0.566504i −0.981929 0.189248i \(-0.939395\pi\)
0.654858 + 0.755752i \(0.272728\pi\)
\(62\) 7.97631 7.97631i 1.01299 1.01299i
\(63\) −5.77681 5.44321i −0.727809 0.685779i
\(64\) 8.77299i 1.09662i
\(65\) 4.86242 + 0.945351i 0.603109 + 0.117256i
\(66\) −7.04718 + 5.42010i −0.867448 + 0.667168i
\(67\) 2.34332 8.74539i 0.286282 1.06842i −0.661615 0.749844i \(-0.730129\pi\)
0.947897 0.318576i \(-0.103205\pi\)
\(68\) 0.705238 0.188968i 0.0855227 0.0229157i
\(69\) −0.562551 4.23616i −0.0677232 0.509974i
\(70\) 7.27959 2.73215i 0.870077 0.326554i
\(71\) 15.3749i 1.82467i −0.409448 0.912333i \(-0.634279\pi\)
0.409448 0.912333i \(-0.365721\pi\)
\(72\) −4.49783 7.75014i −0.530074 0.913362i
\(73\) 2.79871 + 0.749913i 0.327565 + 0.0877707i 0.418854 0.908054i \(-0.362432\pi\)
−0.0912890 + 0.995824i \(0.529099\pi\)
\(74\) −4.49489 7.78538i −0.522520 0.905032i
\(75\) 7.54197 + 4.25660i 0.870872 + 0.491510i
\(76\) −0.507191 −0.0581788
\(77\) −10.3290 + 0.283848i −1.17710 + 0.0323475i
\(78\) −3.06538 + 4.00420i −0.347086 + 0.453386i
\(79\) 4.37551 + 2.52620i 0.492284 + 0.284220i 0.725521 0.688200i \(-0.241599\pi\)
−0.233238 + 0.972420i \(0.574932\pi\)
\(80\) 7.54030 0.526980i 0.843031 0.0589182i
\(81\) 7.81440 + 4.46488i 0.868267 + 0.496097i
\(82\) 0.391602 0.104930i 0.0432452 0.0115875i
\(83\) −9.16088 9.16088i −1.00554 1.00554i −0.999985 0.00555287i \(-0.998232\pi\)
−0.00555287 0.999985i \(-0.501768\pi\)
\(84\) 0.127598 1.24293i 0.0139221 0.135615i
\(85\) −1.94920 5.66159i −0.211421 0.614086i
\(86\) 12.2478 + 7.07127i 1.32071 + 0.762515i
\(87\) −0.115021 + 0.881333i −0.0123315 + 0.0944888i
\(88\) −11.2678 3.01921i −1.20116 0.321849i
\(89\) 5.67519 9.82972i 0.601569 1.04195i −0.391014 0.920385i \(-0.627876\pi\)
0.992584 0.121564i \(-0.0387910\pi\)
\(90\) −7.29828 + 4.94628i −0.769306 + 0.521383i
\(91\) −5.61750 + 1.67189i −0.588874 + 0.175262i
\(92\) 0.475671 0.475671i 0.0495922 0.0495922i
\(93\) −13.7278 + 5.70434i −1.42351 + 0.591513i
\(94\) −6.02133 + 3.47641i −0.621052 + 0.358565i
\(95\) 0.289995 + 4.14939i 0.0297528 + 0.425719i
\(96\) 1.01209 2.45120i 0.103296 0.250175i
\(97\) −6.81964 6.81964i −0.692430 0.692430i 0.270336 0.962766i \(-0.412865\pi\)
−0.962766 + 0.270336i \(0.912865\pi\)
\(98\) −6.13829 + 6.85283i −0.620060 + 0.692241i
\(99\) 11.3103 3.05789i 1.13673 0.307330i
\(100\) 0.189629 + 1.35002i 0.0189629 + 0.135002i
\(101\) −3.95893 + 2.28569i −0.393928 + 0.227434i −0.683861 0.729613i \(-0.739700\pi\)
0.289933 + 0.957047i \(0.406367\pi\)
\(102\) 6.04450 + 0.788856i 0.598495 + 0.0781084i
\(103\) 2.62415 + 9.79345i 0.258565 + 0.964978i 0.966072 + 0.258272i \(0.0831529\pi\)
−0.707507 + 0.706706i \(0.750180\pi\)
\(104\) −6.61679 −0.648829
\(105\) −10.2415 0.333231i −0.999471 0.0325200i
\(106\) −2.53016 −0.245751
\(107\) −0.457517 1.70748i −0.0442299 0.165068i 0.940278 0.340407i \(-0.110565\pi\)
−0.984508 + 0.175338i \(0.943898\pi\)
\(108\) 0.189664 + 1.40401i 0.0182505 + 0.135101i
\(109\) 4.65588 2.68808i 0.445953 0.257471i −0.260167 0.965564i \(-0.583778\pi\)
0.706119 + 0.708093i \(0.250444\pi\)
\(110\) −2.19045 + 11.2666i −0.208851 + 1.07423i
\(111\) 1.55960 + 11.7442i 0.148031 + 1.11471i
\(112\) −7.61959 + 4.68286i −0.719983 + 0.442489i
\(113\) 7.83259 + 7.83259i 0.736828 + 0.736828i 0.971963 0.235134i \(-0.0755530\pi\)
−0.235134 + 0.971963i \(0.575553\pi\)
\(114\) −3.91404 1.61609i −0.366583 0.151361i
\(115\) −4.16350 3.61955i −0.388248 0.337525i
\(116\) −0.121169 + 0.0699569i −0.0112503 + 0.00649534i
\(117\) 5.74791 3.33583i 0.531395 0.308397i
\(118\) 0.481611 0.481611i 0.0443358 0.0443358i
\(119\) 5.14543 + 4.87019i 0.471681 + 0.446450i
\(120\) −10.9745 3.65874i −1.00183 0.333996i
\(121\) 2.12637 3.68298i 0.193306 0.334816i
\(122\) −6.48590 1.73789i −0.587206 0.157341i
\(123\) −0.529792 0.0691421i −0.0477697 0.00623433i
\(124\) −2.02662 1.17007i −0.181996 0.105075i
\(125\) 10.9363 2.32327i 0.978171 0.207800i
\(126\) 4.94511 9.18524i 0.440545 0.818286i
\(127\) 8.12393 + 8.12393i 0.720883 + 0.720883i 0.968785 0.247902i \(-0.0797413\pi\)
−0.247902 + 0.968785i \(0.579741\pi\)
\(128\) −8.17948 + 2.19168i −0.722971 + 0.193719i
\(129\) −11.3627 14.7737i −1.00043 1.30075i
\(130\) 0.453885 + 6.49442i 0.0398084 + 0.569599i
\(131\) −3.80678 2.19784i −0.332600 0.192027i 0.324395 0.945922i \(-0.394839\pi\)
−0.656995 + 0.753895i \(0.728173\pi\)
\(132\) 1.46450 + 1.12114i 0.127468 + 0.0975823i
\(133\) −2.57696 4.19303i −0.223451 0.363581i
\(134\) 11.8994 1.02795
\(135\) 11.3779 2.35443i 0.979254 0.202637i
\(136\) 3.99918 + 6.92678i 0.342927 + 0.593967i
\(137\) −6.42684 1.72207i −0.549082 0.147126i −0.0263963 0.999652i \(-0.508403\pi\)
−0.522686 + 0.852526i \(0.675070\pi\)
\(138\) 5.18646 2.15514i 0.441500 0.183458i
\(139\) 12.3455i 1.04713i −0.851987 0.523564i \(-0.824602\pi\)
0.851987 0.523564i \(-0.175398\pi\)
\(140\) −0.938352 1.31203i −0.0793052 0.110887i
\(141\) 9.08315 1.20622i 0.764939 0.101582i
\(142\) 19.5185 5.22996i 1.63795 0.438889i
\(143\) 2.23921 8.35683i 0.187252 0.698834i
\(144\) 7.15465 7.18692i 0.596221 0.598910i
\(145\) 0.641606 + 0.951299i 0.0532825 + 0.0790011i
\(146\) 3.80806i 0.315158i
\(147\) 10.9238 5.26026i 0.900981 0.433859i
\(148\) −1.31874 + 1.31874i −0.108400 + 0.108400i
\(149\) −4.91632 + 8.51531i −0.402761 + 0.697602i −0.994058 0.108852i \(-0.965283\pi\)
0.591297 + 0.806454i \(0.298616\pi\)
\(150\) −2.83828 + 11.0225i −0.231744 + 0.899982i
\(151\) −0.565526 0.979520i −0.0460219 0.0797122i 0.842097 0.539326i \(-0.181321\pi\)
−0.888119 + 0.459614i \(0.847988\pi\)
\(152\) −1.43806 5.36691i −0.116642 0.435314i
\(153\) −6.96615 4.00103i −0.563180 0.323464i
\(154\) −3.87388 13.0162i −0.312167 1.04887i
\(155\) −8.41372 + 17.2490i −0.675807 + 1.38547i
\(156\) 0.966977 + 0.399261i 0.0774201 + 0.0319665i
\(157\) −4.84463 + 18.0804i −0.386643 + 1.44297i 0.448916 + 0.893574i \(0.351810\pi\)
−0.835560 + 0.549399i \(0.814857\pi\)
\(158\) −1.71864 + 6.41404i −0.136727 + 0.510274i
\(159\) 3.08203 + 1.27256i 0.244421 + 0.100920i
\(160\) −1.11450 3.23715i −0.0881090 0.255919i
\(161\) 6.34926 + 1.51564i 0.500392 + 0.119449i
\(162\) −3.01001 + 11.4392i −0.236488 + 0.898747i
\(163\) −3.37156 12.5828i −0.264081 0.985564i −0.962810 0.270178i \(-0.912917\pi\)
0.698729 0.715386i \(-0.253749\pi\)
\(164\) −0.0420529 0.0728378i −0.00328378 0.00568767i
\(165\) 8.33480 12.6223i 0.648863 0.982644i
\(166\) 8.51357 14.7459i 0.660781 1.14451i
\(167\) −2.44412 + 2.44412i −0.189132 + 0.189132i −0.795321 0.606189i \(-0.792698\pi\)
0.606189 + 0.795321i \(0.292698\pi\)
\(168\) 13.5140 2.17394i 1.04263 0.167723i
\(169\) 8.09264i 0.622510i
\(170\) 6.52436 4.40037i 0.500395 0.337493i
\(171\) 3.95493 + 3.93717i 0.302441 + 0.301083i
\(172\) 0.759361 2.83397i 0.0579007 0.216089i
\(173\) −9.22913 + 2.47294i −0.701678 + 0.188014i −0.591982 0.805951i \(-0.701654\pi\)
−0.109696 + 0.993965i \(0.534988\pi\)
\(174\) −1.15798 + 0.153776i −0.0877862 + 0.0116578i
\(175\) −10.1974 + 8.42695i −0.770850 + 0.637017i
\(176\) 13.2019i 0.995128i
\(177\) −0.828886 + 0.344429i −0.0623029 + 0.0258889i
\(178\) 14.4093 + 3.86097i 1.08003 + 0.289392i
\(179\) 5.39030 + 9.33627i 0.402890 + 0.697826i 0.994073 0.108711i \(-0.0346724\pi\)
−0.591183 + 0.806537i \(0.701339\pi\)
\(180\) 1.38304 + 1.19689i 0.103085 + 0.0892112i
\(181\) −2.86639 −0.213057 −0.106529 0.994310i \(-0.533974\pi\)
−0.106529 + 0.994310i \(0.533974\pi\)
\(182\) −4.03333 6.56272i −0.298970 0.486461i
\(183\) 7.02650 + 5.37907i 0.519414 + 0.397633i
\(184\) 6.38207 + 3.68469i 0.470492 + 0.271639i
\(185\) 11.5428 + 10.0347i 0.848641 + 0.737769i
\(186\) −11.9113 15.4871i −0.873382 1.13557i
\(187\) −10.1017 + 2.70675i −0.738711 + 0.197937i
\(188\) 1.01993 + 1.01993i 0.0743862 + 0.0743862i
\(189\) −10.6435 + 8.70152i −0.774199 + 0.632942i
\(190\) −5.16902 + 1.77961i −0.375000 + 0.129107i
\(191\) 12.1299 + 7.00322i 0.877692 + 0.506736i 0.869897 0.493234i \(-0.164185\pi\)
0.00779509 + 0.999970i \(0.497519\pi\)
\(192\) 15.0675 + 1.96643i 1.08740 + 0.141915i
\(193\) 9.18541 + 2.46122i 0.661180 + 0.177163i 0.573779 0.819010i \(-0.305477\pi\)
0.0874017 + 0.996173i \(0.472144\pi\)
\(194\) 6.33776 10.9773i 0.455025 0.788126i
\(195\) 2.71352 8.13924i 0.194319 0.582863i
\(196\) 1.70280 + 0.862077i 0.121629 + 0.0615770i
\(197\) −5.29206 + 5.29206i −0.377044 + 0.377044i −0.870035 0.492991i \(-0.835904\pi\)
0.492991 + 0.870035i \(0.335904\pi\)
\(198\) 7.72935 + 13.3183i 0.549301 + 0.946492i
\(199\) −8.93994 + 5.16148i −0.633736 + 0.365888i −0.782197 0.623031i \(-0.785901\pi\)
0.148462 + 0.988918i \(0.452568\pi\)
\(200\) −13.7478 + 5.83436i −0.972116 + 0.412551i
\(201\) −14.4948 5.98486i −1.02239 0.422140i
\(202\) −4.24836 4.24836i −0.298914 0.298914i
\(203\) −1.19398 0.646282i −0.0838013 0.0453601i
\(204\) −0.166474 1.25359i −0.0116555 0.0877691i
\(205\) −0.571850 + 0.385686i −0.0399398 + 0.0269375i
\(206\) −11.5402 + 6.66272i −0.804042 + 0.464214i
\(207\) −7.40164 + 0.0166558i −0.514450 + 0.00115766i
\(208\) −1.93813 7.23318i −0.134385 0.501531i
\(209\) 7.26493 0.502526
\(210\) −3.06074 13.1150i −0.211211 0.905020i
\(211\) −4.34600 −0.299191 −0.149596 0.988747i \(-0.547797\pi\)
−0.149596 + 0.988747i \(0.547797\pi\)
\(212\) 0.135853 + 0.507010i 0.00933042 + 0.0348216i
\(213\) −26.4062 3.44622i −1.80932 0.236131i
\(214\) 2.01202 1.16164i 0.137539 0.0794079i
\(215\) −23.6193 4.59205i −1.61082 0.313176i
\(216\) −14.3189 + 5.98779i −0.974279 + 0.407418i
\(217\) −0.623792 22.6993i −0.0423458 1.54093i
\(218\) 4.99627 + 4.99627i 0.338390 + 0.338390i
\(219\) 1.91528 4.63866i 0.129423 0.313452i
\(220\) 2.37528 0.166005i 0.160141 0.0111920i
\(221\) −5.13727 + 2.96601i −0.345570 + 0.199515i
\(222\) −14.3788 + 5.97485i −0.965041 + 0.401006i
\(223\) −11.5568 + 11.5568i −0.773903 + 0.773903i −0.978786 0.204883i \(-0.934318\pi\)
0.204883 + 0.978786i \(0.434318\pi\)
\(224\) 2.94202 + 2.78464i 0.196572 + 0.186057i
\(225\) 9.00116 11.9991i 0.600077 0.799942i
\(226\) −7.27914 + 12.6078i −0.484201 + 0.838661i
\(227\) 13.7452 + 3.68303i 0.912304 + 0.244451i 0.684293 0.729207i \(-0.260111\pi\)
0.228011 + 0.973658i \(0.426778\pi\)
\(228\) −0.113685 + 0.871094i −0.00752896 + 0.0576896i
\(229\) 15.5725 + 8.99081i 1.02906 + 0.594129i 0.916716 0.399540i \(-0.130830\pi\)
0.112346 + 0.993669i \(0.464163\pi\)
\(230\) 3.17876 6.51680i 0.209601 0.429705i
\(231\) −1.82770 + 17.8036i −0.120254 + 1.17139i
\(232\) −1.08381 1.08381i −0.0711559 0.0711559i
\(233\) 11.1771 2.99490i 0.732239 0.196203i 0.126613 0.991952i \(-0.459589\pi\)
0.605626 + 0.795750i \(0.292923\pi\)
\(234\) 6.19006 + 6.16227i 0.404657 + 0.402840i
\(235\) 7.76102 8.92735i 0.506273 0.582356i
\(236\) −0.122368 0.0706489i −0.00796545 0.00459885i
\(237\) 5.31947 6.94865i 0.345537 0.451363i
\(238\) −4.43244 + 8.18879i −0.287312 + 0.530800i
\(239\) −24.0516 −1.55577 −0.777885 0.628407i \(-0.783707\pi\)
−0.777885 + 0.628407i \(0.783707\pi\)
\(240\) 0.785044 13.0685i 0.0506744 0.843566i
\(241\) −0.707286 1.22506i −0.0455603 0.0789127i 0.842346 0.538937i \(-0.181174\pi\)
−0.887906 + 0.460024i \(0.847841\pi\)
\(242\) 5.39886 + 1.44662i 0.347052 + 0.0929922i
\(243\) 9.41993 12.4203i 0.604289 0.796765i
\(244\) 1.39300i 0.0891778i
\(245\) 6.07916 14.4237i 0.388383 0.921498i
\(246\) −0.0924390 0.696091i −0.00589370 0.0443811i
\(247\) 3.98039 1.06654i 0.253266 0.0678624i
\(248\) 6.63509 24.7625i 0.421329 1.57242i
\(249\) −17.7871 + 13.6803i −1.12721 + 0.866955i
\(250\) 6.66951 + 13.0933i 0.421817 + 0.828096i
\(251\) 10.8892i 0.687318i −0.939094 0.343659i \(-0.888334\pi\)
0.939094 0.343659i \(-0.111666\pi\)
\(252\) −2.10612 0.497746i −0.132673 0.0313551i
\(253\) −6.81345 + 6.81345i −0.428358 + 0.428358i
\(254\) −7.54989 + 13.0768i −0.473722 + 0.820511i
\(255\) −10.1606 + 2.07870i −0.636282 + 0.130174i
\(256\) 3.20829 + 5.55693i 0.200518 + 0.347308i
\(257\) 5.13930 + 19.1801i 0.320581 + 1.19642i 0.918680 + 0.395002i \(0.129256\pi\)
−0.598100 + 0.801422i \(0.704077\pi\)
\(258\) 14.8901 19.4504i 0.927017 1.21093i
\(259\) −17.6025 4.20191i −1.09377 0.261094i
\(260\) 1.27702 0.439660i 0.0791977 0.0272666i
\(261\) 1.48790 + 0.395094i 0.0920984 + 0.0244557i
\(262\) 1.49525 5.58033i 0.0923766 0.344754i
\(263\) 6.78641 25.3272i 0.418468 1.56174i −0.359318 0.933215i \(-0.616991\pi\)
0.777786 0.628529i \(-0.216343\pi\)
\(264\) −7.71109 + 18.6756i −0.474585 + 1.14941i
\(265\) 4.07024 1.40132i 0.250033 0.0860825i
\(266\) 4.44647 4.69776i 0.272631 0.288038i
\(267\) −15.6103 11.9504i −0.955337 0.731350i
\(268\) −0.638919 2.38448i −0.0390282 0.145655i
\(269\) 0.241071 + 0.417547i 0.0146984 + 0.0254583i 0.873281 0.487217i \(-0.161988\pi\)
−0.858583 + 0.512675i \(0.828655\pi\)
\(270\) 6.85928 + 13.6434i 0.417443 + 0.830310i
\(271\) −2.96583 + 5.13697i −0.180161 + 0.312049i −0.941935 0.335794i \(-0.890995\pi\)
0.761774 + 0.647843i \(0.224329\pi\)
\(272\) −6.40065 + 6.40065i −0.388097 + 0.388097i
\(273\) 1.61231 + 10.0227i 0.0975812 + 0.606603i
\(274\) 8.74466i 0.528284i
\(275\) −2.71621 19.3375i −0.163794 1.16610i
\(276\) −0.710339 0.923579i −0.0427574 0.0555929i
\(277\) −3.50963 + 13.0981i −0.210873 + 0.786989i 0.776706 + 0.629864i \(0.216889\pi\)
−0.987579 + 0.157125i \(0.949777\pi\)
\(278\) 15.6726 4.19945i 0.939978 0.251866i
\(279\) 6.72010 + 24.8559i 0.402322 + 1.48808i
\(280\) 11.2229 13.6494i 0.670697 0.815705i
\(281\) 12.2359i 0.729932i −0.931021 0.364966i \(-0.881081\pi\)
0.931021 0.364966i \(-0.118919\pi\)
\(282\) 4.62104 + 11.1208i 0.275179 + 0.662232i
\(283\) 19.7700 + 5.29737i 1.17521 + 0.314896i 0.793024 0.609191i \(-0.208506\pi\)
0.382184 + 0.924086i \(0.375172\pi\)
\(284\) −2.09603 3.63043i −0.124376 0.215426i
\(285\) 7.19153 + 0.432007i 0.425989 + 0.0255899i
\(286\) 11.3707 0.672364
\(287\) 0.388497 0.717735i 0.0229322 0.0423666i
\(288\) −3.98305 2.28768i −0.234704 0.134803i
\(289\) −8.51250 4.91470i −0.500736 0.289100i
\(290\) −0.989425 + 1.13812i −0.0581011 + 0.0668325i
\(291\) −13.2412 + 10.1840i −0.776215 + 0.596999i
\(292\) 0.763084 0.204468i 0.0446561 0.0119656i
\(293\) 18.3002 + 18.3002i 1.06911 + 1.06911i 0.997427 + 0.0716843i \(0.0228374\pi\)
0.0716843 + 0.997427i \(0.477163\pi\)
\(294\) 10.3938 + 12.0785i 0.606177 + 0.704430i
\(295\) −0.508022 + 1.04150i −0.0295782 + 0.0606384i
\(296\) −17.6935 10.2153i −1.02841 0.593754i
\(297\) −2.71672 20.1108i −0.157640 1.16695i
\(298\) −12.4825 3.34469i −0.723095 0.193753i
\(299\) −2.73276 + 4.73328i −0.158040 + 0.273733i
\(300\) 2.36115 0.0230823i 0.136321 0.00133265i
\(301\) 27.2871 8.12122i 1.57280 0.468099i
\(302\) 1.05113 1.05113i 0.0604858 0.0604858i
\(303\) 3.03826 + 7.31173i 0.174544 + 0.420048i
\(304\) 5.44565 3.14405i 0.312329 0.180323i
\(305\) 11.3963 0.796471i 0.652551 0.0456058i
\(306\) 2.70970 10.2045i 0.154903 0.583354i
\(307\) 19.2900 + 19.2900i 1.10094 + 1.10094i 0.994298 + 0.106640i \(0.0340093\pi\)
0.106640 + 0.994298i \(0.465991\pi\)
\(308\) −2.40026 + 1.47516i −0.136767 + 0.0840548i
\(309\) 17.4083 2.31178i 0.990324 0.131512i
\(310\) −24.7597 4.81378i −1.40626 0.273404i
\(311\) −21.9700 + 12.6844i −1.24581 + 0.719266i −0.970270 0.242025i \(-0.922189\pi\)
−0.275536 + 0.961291i \(0.588855\pi\)
\(312\) −1.48312 + 11.3642i −0.0839654 + 0.643373i
\(313\) −6.33953 23.6594i −0.358331 1.33731i −0.876240 0.481875i \(-0.839956\pi\)
0.517909 0.855436i \(-0.326711\pi\)
\(314\) −24.6011 −1.38832
\(315\) −2.86791 + 17.5150i −0.161589 + 0.986858i
\(316\) 1.37757 0.0774942
\(317\) −3.11916 11.6409i −0.175189 0.653815i −0.996519 0.0833621i \(-0.973434\pi\)
0.821330 0.570453i \(-0.193232\pi\)
\(318\) −0.567125 + 4.34552i −0.0318028 + 0.243685i
\(319\) 1.73561 1.00205i 0.0971753 0.0561042i
\(320\) 16.2636 10.9691i 0.909165 0.613189i
\(321\) −3.03512 + 0.403056i −0.169404 + 0.0224964i
\(322\) 0.235673 + 8.57595i 0.0131335 + 0.477919i
\(323\) −3.52225 3.52225i −0.195983 0.195983i
\(324\) 2.45387 0.0110439i 0.136326 0.000613548i
\(325\) −4.32707 10.1961i −0.240023 0.565578i
\(326\) 14.8271 8.56041i 0.821195 0.474117i
\(327\) −3.57314 8.59893i −0.197595 0.475522i
\(328\) 0.651508 0.651508i 0.0359735 0.0359735i
\(329\) −3.24982 + 13.6140i −0.179168 + 0.750566i
\(330\) 18.8592 + 6.28741i 1.03816 + 0.346111i
\(331\) 4.87405 8.44210i 0.267902 0.464020i −0.700418 0.713733i \(-0.747003\pi\)
0.968320 + 0.249713i \(0.0803364\pi\)
\(332\) −3.41201 0.914245i −0.187258 0.0501757i
\(333\) 20.5201 0.0461760i 1.12450 0.00253043i
\(334\) −3.93422 2.27142i −0.215271 0.124287i
\(335\) −19.1424 + 6.59044i −1.04586 + 0.360074i
\(336\) 6.33485 + 14.1362i 0.345594 + 0.771192i
\(337\) 10.5951 + 10.5951i 0.577152 + 0.577152i 0.934117 0.356966i \(-0.116189\pi\)
−0.356966 + 0.934117i \(0.616189\pi\)
\(338\) −10.2736 + 2.75281i −0.558811 + 0.149733i
\(339\) 15.2080 11.6967i 0.825986 0.635279i
\(340\) −1.23209 1.07112i −0.0668195 0.0580898i
\(341\) 29.0290 + 16.7599i 1.57201 + 0.907599i
\(342\) −3.65293 + 6.36007i −0.197528 + 0.343913i
\(343\) 1.52474 + 18.4574i 0.0823280 + 0.996605i
\(344\) 32.1411 1.73293
\(345\) −7.14976 + 6.33944i −0.384930 + 0.341304i
\(346\) −6.27880 10.8752i −0.337550 0.584654i
\(347\) 20.8438 + 5.58508i 1.11895 + 0.299823i 0.770460 0.637488i \(-0.220027\pi\)
0.348494 + 0.937311i \(0.386693\pi\)
\(348\) 0.0929906 + 0.223787i 0.00498482 + 0.0119962i
\(349\) 28.5116i 1.52619i −0.646287 0.763094i \(-0.723679\pi\)
0.646287 0.763094i \(-0.276321\pi\)
\(350\) −14.1668 10.0791i −0.757246 0.538749i
\(351\) −4.44087 10.6197i −0.237036 0.566836i
\(352\) −5.77589 + 1.54765i −0.307856 + 0.0824898i
\(353\) −3.17961 + 11.8664i −0.169233 + 0.631587i 0.828229 + 0.560390i \(0.189349\pi\)
−0.997462 + 0.0711974i \(0.977318\pi\)
\(354\) −0.719208 0.935110i −0.0382255 0.0497006i
\(355\) −28.5025 + 19.2236i −1.51276 + 1.02028i
\(356\) 3.09474i 0.164021i
\(357\) 9.51782 7.74557i 0.503736 0.409939i
\(358\) −10.0188 + 10.0188i −0.529512 + 0.529512i
\(359\) 2.40785 4.17052i 0.127081 0.220112i −0.795463 0.606002i \(-0.792772\pi\)
0.922545 + 0.385890i \(0.126106\pi\)
\(360\) −8.74371 + 18.0284i −0.460834 + 0.950179i
\(361\) −7.76984 13.4578i −0.408939 0.708303i
\(362\) −0.975037 3.63889i −0.0512468 0.191256i
\(363\) −5.84885 4.47753i −0.306985 0.235010i
\(364\) −1.09852 + 1.16060i −0.0575779 + 0.0608319i
\(365\) −2.10908 6.12598i −0.110394 0.320648i
\(366\) −4.43860 + 10.7499i −0.232009 + 0.561907i
\(367\) 3.70888 13.8417i 0.193602 0.722532i −0.799022 0.601301i \(-0.794649\pi\)
0.992624 0.121231i \(-0.0386841\pi\)
\(368\) −2.15857 + 8.05588i −0.112523 + 0.419942i
\(369\) −0.237501 + 0.894412i −0.0123638 + 0.0465612i
\(370\) −8.81272 + 18.0670i −0.458151 + 0.939259i
\(371\) −3.50128 + 3.69916i −0.181778 + 0.192051i
\(372\) −2.46384 + 3.21842i −0.127744 + 0.166868i
\(373\) −0.301856 1.12654i −0.0156295 0.0583301i 0.957671 0.287866i \(-0.0929458\pi\)
−0.973300 + 0.229536i \(0.926279\pi\)
\(374\) −6.87245 11.9034i −0.355366 0.615512i
\(375\) −1.53887 19.3037i −0.0794667 0.996838i
\(376\) −7.90069 + 13.6844i −0.407447 + 0.705719i
\(377\) 0.803814 0.803814i 0.0413985 0.0413985i
\(378\) −14.6671 10.5520i −0.754394 0.542736i
\(379\) 24.8744i 1.27771i −0.769326 0.638856i \(-0.779408\pi\)
0.769326 0.638856i \(-0.220592\pi\)
\(380\) 0.634153 + 0.940247i 0.0325313 + 0.0482337i
\(381\) 15.7737 12.1318i 0.808111 0.621531i
\(382\) −4.76446 + 17.7812i −0.243771 + 0.909766i
\(383\) −1.71779 + 0.460280i −0.0877749 + 0.0235192i −0.302439 0.953169i \(-0.597801\pi\)
0.214664 + 0.976688i \(0.431134\pi\)
\(384\) 1.93079 + 14.5394i 0.0985304 + 0.741961i
\(385\) 13.4408 + 18.7934i 0.685007 + 0.957798i
\(386\) 12.4981i 0.636137i
\(387\) −27.9206 + 16.2038i −1.41928 + 0.823687i
\(388\) −2.54000 0.680592i −0.128949 0.0345518i
\(389\) −12.9155 22.3704i −0.654843 1.13422i −0.981933 0.189229i \(-0.939401\pi\)
0.327090 0.944993i \(-0.393932\pi\)
\(390\) 11.2558 + 0.676155i 0.569960 + 0.0342384i
\(391\) 6.60672 0.334116
\(392\) −4.29417 + 20.4627i −0.216888 + 1.03352i
\(393\) −4.62804 + 6.04545i −0.233454 + 0.304953i
\(394\) −8.51844 4.91812i −0.429153 0.247772i
\(395\) −0.787646 11.2700i −0.0396308 0.567057i
\(396\) 2.25380 2.26396i 0.113258 0.113768i
\(397\) 22.9598 6.15207i 1.15232 0.308763i 0.368426 0.929657i \(-0.379897\pi\)
0.783895 + 0.620894i \(0.213230\pi\)
\(398\) −9.59353 9.59353i −0.480880 0.480880i
\(399\) −7.77908 + 3.48604i −0.389441 + 0.174520i
\(400\) −10.4047 13.3195i −0.520237 0.665977i
\(401\) −6.94186 4.00789i −0.346660 0.200144i 0.316553 0.948575i \(-0.397474\pi\)
−0.663213 + 0.748430i \(0.730808\pi\)
\(402\) 2.66720 20.4371i 0.133028 1.01931i
\(403\) 18.3652 + 4.92094i 0.914835 + 0.245129i
\(404\) −0.623205 + 1.07942i −0.0310056 + 0.0537033i
\(405\) −1.49339 20.0691i −0.0742073 0.997243i
\(406\) 0.414308 1.73561i 0.0205618 0.0861367i
\(407\) 18.8894 18.8894i 0.936313 0.936313i
\(408\) 12.7931 5.31593i 0.633351 0.263178i
\(409\) 13.0923 7.55884i 0.647372 0.373761i −0.140076 0.990141i \(-0.544735\pi\)
0.787449 + 0.616380i \(0.211401\pi\)
\(410\) −0.684151 0.594769i −0.0337878 0.0293735i
\(411\) −4.39817 + 10.6520i −0.216946 + 0.525425i
\(412\) 1.95475 + 1.95475i 0.0963036 + 0.0963036i
\(413\) −0.0376647 1.37059i −0.00185336 0.0674422i
\(414\) −2.53890 9.39073i −0.124780 0.461529i
\(415\) −5.52868 + 28.4368i −0.271392 + 1.39591i
\(416\) −2.93735 + 1.69588i −0.144016 + 0.0831475i
\(417\) −21.2031 2.76718i −1.03832 0.135509i
\(418\) 2.47125 + 9.22284i 0.120873 + 0.451104i
\(419\) 26.4645 1.29287 0.646437 0.762967i \(-0.276258\pi\)
0.646437 + 0.762967i \(0.276258\pi\)
\(420\) −2.46373 + 1.31752i −0.120217 + 0.0642884i
\(421\) −10.4834 −0.510929 −0.255464 0.966818i \(-0.582228\pi\)
−0.255464 + 0.966818i \(0.582228\pi\)
\(422\) −1.47835 5.51726i −0.0719647 0.268576i
\(423\) −0.0357132 15.8706i −0.00173643 0.771653i
\(424\) −4.97981 + 2.87509i −0.241841 + 0.139627i
\(425\) −8.05851 + 10.6923i −0.390895 + 0.518653i
\(426\) −4.60740 34.6950i −0.223229 1.68098i
\(427\) −11.5161 + 7.07762i −0.557306 + 0.342510i
\(428\) −0.340809 0.340809i −0.0164736 0.0164736i
\(429\) −13.8508 5.71896i −0.668725 0.276114i
\(430\) −2.20475 31.5467i −0.106323 1.52132i
\(431\) −4.95598 + 2.86134i −0.238721 + 0.137826i −0.614589 0.788848i \(-0.710678\pi\)
0.375868 + 0.926673i \(0.377345\pi\)
\(432\) −10.7398 13.8989i −0.516717 0.668712i
\(433\) −0.977454 + 0.977454i −0.0469735 + 0.0469735i −0.730203 0.683230i \(-0.760575\pi\)
0.683230 + 0.730203i \(0.260575\pi\)
\(434\) 28.6046 8.51334i 1.37307 0.408654i
\(435\) 1.77766 0.888721i 0.0852321 0.0426109i
\(436\) 0.732918 1.26945i 0.0351004 0.0607957i
\(437\) −4.43312 1.18785i −0.212065 0.0568226i
\(438\) 6.54030 + 0.853561i 0.312507 + 0.0407847i
\(439\) −4.91850 2.83970i −0.234747 0.135531i 0.378013 0.925800i \(-0.376608\pi\)
−0.612760 + 0.790269i \(0.709941\pi\)
\(440\) 8.49133 + 24.6637i 0.404808 + 1.17579i
\(441\) −6.58590 19.9406i −0.313615 0.949550i
\(442\) −5.51285 5.51285i −0.262220 0.262220i
\(443\) −21.8406 + 5.85218i −1.03768 + 0.278045i −0.737151 0.675728i \(-0.763830\pi\)
−0.300528 + 0.953773i \(0.597163\pi\)
\(444\) 1.96933 + 2.56050i 0.0934600 + 0.121516i
\(445\) −25.3185 + 1.76947i −1.20021 + 0.0838809i
\(446\) −18.6026 10.7402i −0.880859 0.508564i
\(447\) 13.5230 + 10.3524i 0.639614 + 0.489651i
\(448\) −11.0490 + 20.4127i −0.522016 + 0.964408i
\(449\) −32.0075 −1.51053 −0.755264 0.655420i \(-0.772491\pi\)
−0.755264 + 0.655420i \(0.772491\pi\)
\(450\) 18.2948 + 7.34534i 0.862424 + 0.346263i
\(451\) 0.602360 + 1.04332i 0.0283640 + 0.0491279i
\(452\) 2.91728 + 0.781684i 0.137217 + 0.0367673i
\(453\) −1.80907 + 0.751728i −0.0849976 + 0.0353193i
\(454\) 18.7024i 0.877749i
\(455\) 10.1231 + 8.32351i 0.474578 + 0.390212i
\(456\) −9.53993 + 1.26688i −0.446748 + 0.0593270i
\(457\) 6.37935 1.70934i 0.298413 0.0799596i −0.106506 0.994312i \(-0.533966\pi\)
0.404919 + 0.914352i \(0.367300\pi\)
\(458\) −6.11666 + 22.8277i −0.285813 + 1.06667i
\(459\) −8.43315 + 11.0674i −0.393626 + 0.516584i
\(460\) −1.47656 0.287072i −0.0688448 0.0133848i
\(461\) 28.3844i 1.32199i 0.750389 + 0.660996i \(0.229866\pi\)
−0.750389 + 0.660996i \(0.770134\pi\)
\(462\) −23.2234 + 3.73583i −1.08045 + 0.173806i
\(463\) −3.86974 + 3.86974i −0.179842 + 0.179842i −0.791287 0.611445i \(-0.790589\pi\)
0.611445 + 0.791287i \(0.290589\pi\)
\(464\) 0.867317 1.50224i 0.0402642 0.0697396i
\(465\) 27.7391 + 18.3167i 1.28637 + 0.849419i
\(466\) 7.60407 + 13.1706i 0.352252 + 0.610118i
\(467\) 2.13398 + 7.96411i 0.0987486 + 0.368535i 0.997561 0.0697985i \(-0.0222356\pi\)
−0.898813 + 0.438333i \(0.855569\pi\)
\(468\) 0.902469 1.57128i 0.0417167 0.0726323i
\(469\) 16.4666 17.3972i 0.760357 0.803328i
\(470\) 13.9733 + 6.81589i 0.644540 + 0.314393i
\(471\) 29.9669 + 12.3732i 1.38080 + 0.570128i
\(472\) 0.400628 1.49516i 0.0184404 0.0688204i
\(473\) −10.8770 + 40.5934i −0.500124 + 1.86649i
\(474\) 10.6308 + 4.38942i 0.488289 + 0.201613i
\(475\) 7.32969 5.72568i 0.336309 0.262712i
\(476\) 1.87891 + 0.448517i 0.0861199 + 0.0205578i
\(477\) 2.87642 5.00811i 0.131702 0.229305i
\(478\) −8.18145 30.5336i −0.374211 1.39657i
\(479\) 10.8658 + 18.8202i 0.496473 + 0.859917i 0.999992 0.00406782i \(-0.00129483\pi\)
−0.503519 + 0.863984i \(0.667961\pi\)
\(480\) −5.80956 + 1.18855i −0.265169 + 0.0542495i
\(481\) 7.57624 13.1224i 0.345447 0.598331i
\(482\) 1.31462 1.31462i 0.0598792 0.0598792i
\(483\) 4.02624 10.5650i 0.183200 0.480726i
\(484\) 1.15953i 0.0527060i
\(485\) −4.11572 + 21.1692i −0.186885 + 0.961245i
\(486\) 18.9719 + 7.73369i 0.860585 + 0.350807i
\(487\) 2.34208 8.74077i 0.106130 0.396082i −0.892341 0.451362i \(-0.850938\pi\)
0.998471 + 0.0552796i \(0.0176050\pi\)
\(488\) −14.7402 + 3.94963i −0.667259 + 0.178791i
\(489\) −22.3666 + 2.97022i −1.01145 + 0.134318i
\(490\) 20.3788 + 2.81110i 0.920622 + 0.126992i
\(491\) 28.9156i 1.30494i 0.757814 + 0.652471i \(0.226268\pi\)
−0.757814 + 0.652471i \(0.773732\pi\)
\(492\) −0.134524 + 0.0558990i −0.00606480 + 0.00252012i
\(493\) −1.32730 0.355648i −0.0597785 0.0160176i
\(494\) 2.70795 + 4.69031i 0.121837 + 0.211027i
\(495\) −19.8104 17.1441i −0.890411 0.770571i
\(496\) 29.0127 1.30271
\(497\) 19.3637 35.7738i 0.868580 1.60467i
\(498\) −23.4177 17.9272i −1.04937 0.803336i
\(499\) 27.9320 + 16.1266i 1.25041 + 0.721924i 0.971191 0.238304i \(-0.0765915\pi\)
0.279218 + 0.960228i \(0.409925\pi\)
\(500\) 2.26562 2.03951i 0.101322 0.0912095i
\(501\) 3.64991 + 4.74559i 0.163066 + 0.212017i
\(502\) 13.8238 3.70408i 0.616987 0.165321i
\(503\) 7.21038 + 7.21038i 0.321495 + 0.321495i 0.849340 0.527845i \(-0.177000\pi\)
−0.527845 + 0.849340i \(0.677000\pi\)
\(504\) −0.704591 23.6974i −0.0313850 1.05557i
\(505\) 9.18722 + 4.48134i 0.408826 + 0.199417i
\(506\) −10.9674 6.33201i −0.487558 0.281492i
\(507\) 13.8990 + 1.81393i 0.617276 + 0.0805595i
\(508\) 3.02579 + 0.810759i 0.134248 + 0.0359716i
\(509\) 11.9373 20.6761i 0.529113 0.916451i −0.470311 0.882501i \(-0.655858\pi\)
0.999424 0.0339497i \(-0.0108086\pi\)
\(510\) −6.09517 12.1918i −0.269899 0.539863i
\(511\) 5.56748 + 5.26966i 0.246291 + 0.233116i
\(512\) −17.9388 + 17.9388i −0.792789 + 0.792789i
\(513\) 7.64852 5.91004i 0.337690 0.260935i
\(514\) −22.6010 + 13.0487i −0.996888 + 0.575553i
\(515\) 14.8744 17.1097i 0.655444 0.753944i
\(516\) −4.69710 1.93942i −0.206778 0.0853780i
\(517\) −14.6093 14.6093i −0.642518 0.642518i
\(518\) −0.653374 23.7757i −0.0287076 1.04465i
\(519\) 2.17857 + 16.4052i 0.0956285 + 0.720109i
\(520\) 8.27312 + 12.2664i 0.362800 + 0.537918i
\(521\) 18.3151 10.5743i 0.802401 0.463267i −0.0419089 0.999121i \(-0.513344\pi\)
0.844310 + 0.535855i \(0.180011\pi\)
\(522\) 0.00455295 + 2.02328i 0.000199277 + 0.0885566i
\(523\) −4.29744 16.0383i −0.187914 0.701305i −0.993988 0.109490i \(-0.965078\pi\)
0.806074 0.591815i \(-0.201588\pi\)
\(524\) −1.19851 −0.0523571
\(525\) 12.1875 + 19.4027i 0.531905 + 0.846804i
\(526\) 34.4614 1.50259
\(527\) −5.94842 22.1998i −0.259117 0.967039i
\(528\) −22.6740 2.95914i −0.986760 0.128780i
\(529\) −14.6469 + 8.45641i −0.636823 + 0.367670i
\(530\) 3.16352 + 4.69049i 0.137414 + 0.203742i
\(531\) 0.405761 + 1.50080i 0.0176085 + 0.0651293i
\(532\) −1.18011 0.638774i −0.0511644 0.0276944i
\(533\) 0.483193 + 0.483193i 0.0209294 + 0.0209294i
\(534\) 9.86095 23.8824i 0.426725 1.03349i
\(535\) −2.59333 + 2.98306i −0.112120 + 0.128969i
\(536\) 23.4201 13.5216i 1.01160 0.584045i
\(537\) 17.2431 7.16508i 0.744096 0.309196i
\(538\) −0.448074 + 0.448074i −0.0193178 + 0.0193178i
\(539\) −24.3907 12.3483i −1.05058 0.531878i
\(540\) 2.36565 2.10707i 0.101801 0.0906737i
\(541\) −20.2965 + 35.1545i −0.872613 + 1.51141i −0.0133293 + 0.999911i \(0.504243\pi\)
−0.859284 + 0.511499i \(0.829090\pi\)
\(542\) −7.53026 2.01773i −0.323452 0.0866687i
\(543\) −0.642489 + 4.92299i −0.0275719 + 0.211266i
\(544\) 3.55067 + 2.04998i 0.152234 + 0.0878921i
\(545\) −10.8046 5.27026i −0.462818 0.225753i
\(546\) −12.1754 + 5.45618i −0.521060 + 0.233503i
\(547\) −7.28811 7.28811i −0.311617 0.311617i 0.533919 0.845536i \(-0.320719\pi\)
−0.845536 + 0.533919i \(0.820719\pi\)
\(548\) −1.75231 + 0.469531i −0.0748551 + 0.0200574i
\(549\) 10.8134 10.8622i 0.461507 0.463588i
\(550\) 23.6251 10.0261i 1.00738 0.427516i
\(551\) 0.826675 + 0.477281i 0.0352175 + 0.0203329i
\(552\) 7.75892 10.1352i 0.330241 0.431383i
\(553\) 6.99920 + 11.3886i 0.297636 + 0.484290i
\(554\) −17.8219 −0.757181
\(555\) 19.8218 17.5753i 0.841389 0.746030i
\(556\) −1.68303 2.91509i −0.0713762 0.123627i
\(557\) −31.7945 8.51930i −1.34718 0.360975i −0.488084 0.872797i \(-0.662304\pi\)
−0.859091 + 0.511822i \(0.828971\pi\)
\(558\) −29.2687 + 16.9862i −1.23904 + 0.719084i
\(559\) 23.8376i 1.00822i
\(560\) 18.2082 + 8.27035i 0.769436 + 0.349486i
\(561\) 2.38455 + 17.9563i 0.100676 + 0.758115i
\(562\) 15.5335 4.16218i 0.655240 0.175571i
\(563\) −3.65033 + 13.6232i −0.153843 + 0.574150i 0.845359 + 0.534199i \(0.179387\pi\)
−0.999202 + 0.0399510i \(0.987280\pi\)
\(564\) 1.98033 1.52311i 0.0833870 0.0641343i
\(565\) 4.72704 24.3136i 0.198868 1.02288i
\(566\) 26.9001i 1.13069i
\(567\) 12.5590 + 20.2304i 0.527430 + 0.849598i
\(568\) 32.4729 32.4729i 1.36253 1.36253i
\(569\) 22.7130 39.3401i 0.952178 1.64922i 0.211481 0.977382i \(-0.432171\pi\)
0.740697 0.671839i \(-0.234495\pi\)
\(570\) 1.89785 + 9.27661i 0.0794922 + 0.388554i
\(571\) −11.0051 19.0614i −0.460548 0.797693i 0.538440 0.842664i \(-0.319014\pi\)
−0.998988 + 0.0449706i \(0.985681\pi\)
\(572\) −0.610532 2.27854i −0.0255276 0.0952704i
\(573\) 14.7468 19.2633i 0.616057 0.804734i
\(574\) 1.04332 + 0.249051i 0.0435472 + 0.0103952i
\(575\) −1.50433 + 12.2440i −0.0627347 + 0.510612i
\(576\) 6.75463 25.4374i 0.281443 1.05989i
\(577\) −10.2713 + 38.3331i −0.427601 + 1.59583i 0.330576 + 0.943779i \(0.392757\pi\)
−0.758177 + 0.652049i \(0.773910\pi\)
\(578\) 3.34359 12.4784i 0.139075 0.519034i
\(579\) 6.28599 15.2241i 0.261237 0.632694i
\(580\) 0.281189 + 0.137158i 0.0116757 + 0.00569518i
\(581\) −9.77767 32.8527i −0.405646 1.36296i
\(582\) −17.4328 13.3455i −0.722614 0.553191i
\(583\) −1.94594 7.26234i −0.0805925 0.300775i
\(584\) 4.32721 + 7.49494i 0.179061 + 0.310143i
\(585\) −13.3708 6.48481i −0.552815 0.268114i
\(586\) −17.0071 + 29.4572i −0.702559 + 1.21687i
\(587\) −2.66817 + 2.66817i −0.110127 + 0.110127i −0.760023 0.649896i \(-0.774812\pi\)
0.649896 + 0.760023i \(0.274812\pi\)
\(588\) 1.86228 2.73131i 0.0767992 0.112637i
\(589\) 15.9656i 0.657851i
\(590\) −1.49499 0.290656i −0.0615479 0.0119661i
\(591\) 7.90285 + 10.2752i 0.325080 + 0.422667i
\(592\) 5.98435 22.3339i 0.245955 0.917918i
\(593\) −11.6653 + 3.12571i −0.479037 + 0.128357i −0.490254 0.871580i \(-0.663096\pi\)
0.0112174 + 0.999937i \(0.496429\pi\)
\(594\) 24.6065 10.2898i 1.00962 0.422196i
\(595\) 2.59507 15.6281i 0.106388 0.640689i
\(596\) 2.68092i 0.109815i
\(597\) 6.86092 + 16.5112i 0.280799 + 0.675756i
\(598\) −6.93849 1.85916i −0.283736 0.0760269i
\(599\) 16.3639 + 28.3431i 0.668610 + 1.15807i 0.978293 + 0.207226i \(0.0664436\pi\)
−0.309683 + 0.950840i \(0.600223\pi\)
\(600\) 6.93892 + 24.9194i 0.283280 + 1.01733i
\(601\) −46.3697 −1.89146 −0.945729 0.324956i \(-0.894651\pi\)
−0.945729 + 0.324956i \(0.894651\pi\)
\(602\) 19.5919 + 31.8785i 0.798508 + 1.29927i
\(603\) −13.5279 + 23.5532i −0.550898 + 0.959161i
\(604\) −0.267071 0.154194i −0.0108670 0.00627406i
\(605\) −9.48627 + 0.662981i −0.385672 + 0.0269540i
\(606\) −8.24875 + 6.34425i −0.335083 + 0.257718i
\(607\) −15.6745 + 4.19997i −0.636208 + 0.170471i −0.562485 0.826807i \(-0.690155\pi\)
−0.0737227 + 0.997279i \(0.523488\pi\)
\(608\) −2.01393 2.01393i −0.0816756 0.0816756i
\(609\) −1.37761 + 1.90579i −0.0558234 + 0.0772265i
\(610\) 4.88771 + 14.1967i 0.197898 + 0.574808i
\(611\) −10.1491 5.85957i −0.410588 0.237053i
\(612\) −2.19034 + 0.00492889i −0.0885394 + 0.000199238i
\(613\) −13.3150 3.56775i −0.537789 0.144100i −0.0203066 0.999794i \(-0.506464\pi\)
−0.517483 + 0.855694i \(0.673131\pi\)
\(614\) −17.9270 + 31.0504i −0.723473 + 1.25309i
\(615\) 0.534233 + 1.06859i 0.0215423 + 0.0430899i
\(616\) −22.4151 21.2161i −0.903130 0.854821i
\(617\) 10.5782 10.5782i 0.425862 0.425862i −0.461354 0.887216i \(-0.652636\pi\)
0.887216 + 0.461354i \(0.152636\pi\)
\(618\) 8.85645 + 21.3135i 0.356259 + 0.857355i
\(619\) −25.0531 + 14.4644i −1.00697 + 0.581375i −0.910303 0.413942i \(-0.864152\pi\)
−0.0966677 + 0.995317i \(0.530818\pi\)
\(620\) 0.364816 + 5.21998i 0.0146514 + 0.209639i
\(621\) −1.63044 + 12.7159i −0.0654273 + 0.510273i
\(622\) −23.5762 23.5762i −0.945321 0.945321i
\(623\) 25.5847 15.7239i 1.02503 0.629965i
\(624\) −12.8573 + 1.70742i −0.514704 + 0.0683514i
\(625\) −17.9808 17.3692i −0.719234 0.694768i
\(626\) 27.8792 16.0961i 1.11428 0.643329i
\(627\) 1.62840 12.4774i 0.0650322 0.498300i
\(628\) 1.32091 + 4.92972i 0.0527102 + 0.196717i
\(629\) −18.3163 −0.730318
\(630\) −23.2109 + 2.31711i −0.924743 + 0.0923160i
\(631\) −4.13783 −0.164724 −0.0823622 0.996602i \(-0.526246\pi\)
−0.0823622 + 0.996602i \(0.526246\pi\)
\(632\) 3.90587 + 14.5769i 0.155367 + 0.579838i
\(633\) −0.974138 + 7.46420i −0.0387185 + 0.296675i
\(634\) 13.7171 7.91955i 0.544774 0.314526i
\(635\) 4.90287 25.2179i 0.194564 1.00074i
\(636\) 0.901234 0.119681i 0.0357362 0.00474568i
\(637\) −15.1762 3.18478i −0.601304 0.126186i
\(638\) 1.86249 + 1.86249i 0.0737369 + 0.0737369i
\(639\) −11.8377 + 44.5798i −0.468291 + 1.76355i
\(640\) 14.2900 + 12.4231i 0.564862 + 0.491065i
\(641\) 0.533980 0.308293i 0.0210909 0.0121769i −0.489417 0.872050i \(-0.662791\pi\)
0.510508 + 0.859873i \(0.329457\pi\)
\(642\) −1.54411 3.71599i −0.0609413 0.146658i
\(643\) −12.1411 + 12.1411i −0.478799 + 0.478799i −0.904747 0.425949i \(-0.859940\pi\)
0.425949 + 0.904747i \(0.359940\pi\)
\(644\) 1.70585 0.507698i 0.0672200 0.0200061i
\(645\) −13.1809 + 39.5365i −0.518999 + 1.55675i
\(646\) 3.27337 5.66964i 0.128789 0.223069i
\(647\) −28.1479 7.54222i −1.10661 0.296515i −0.341156 0.940007i \(-0.610818\pi\)
−0.765453 + 0.643492i \(0.777485\pi\)
\(648\) 7.07443 + 25.9347i 0.277910 + 1.01881i
\(649\) 1.75277 + 1.01196i 0.0688024 + 0.0397231i
\(650\) 11.4721 8.96155i 0.449971 0.351501i
\(651\) −39.1256 4.01660i −1.53345 0.157423i
\(652\) −2.51151 2.51151i −0.0983581 0.0983581i
\(653\) 14.6142 3.91588i 0.571900 0.153240i 0.0387320 0.999250i \(-0.487668\pi\)
0.533168 + 0.846010i \(0.321001\pi\)
\(654\) 9.70092 7.46113i 0.379336 0.291753i
\(655\) 0.685266 + 9.80514i 0.0267756 + 0.383119i
\(656\) 0.903034 + 0.521367i 0.0352575 + 0.0203560i
\(657\) −7.53753 4.32921i −0.294067 0.168899i
\(658\) −18.3885 + 0.505329i −0.716859 + 0.0196998i
\(659\) 6.05597 0.235907 0.117954 0.993019i \(-0.462367\pi\)
0.117954 + 0.993019i \(0.462367\pi\)
\(660\) 0.247298 4.11672i 0.00962607 0.160243i
\(661\) −10.7793 18.6702i −0.419264 0.726187i 0.576601 0.817026i \(-0.304379\pi\)
−0.995866 + 0.0908385i \(0.971045\pi\)
\(662\) 12.3752 + 3.31593i 0.480977 + 0.128877i
\(663\) 3.94258 + 9.48801i 0.153117 + 0.368484i
\(664\) 38.6968i 1.50173i
\(665\) −4.55114 + 10.0199i −0.176486 + 0.388554i
\(666\) 7.03878 + 26.0346i 0.272747 + 1.00882i
\(667\) −1.22292 + 0.327681i −0.0473517 + 0.0126878i
\(668\) −0.243921 + 0.910324i −0.00943757 + 0.0352215i
\(669\) 17.2583 + 22.4391i 0.667244 + 0.867547i
\(670\) −14.8781 22.0595i −0.574791 0.852232i
\(671\) 19.9531i 0.770282i
\(672\) 5.44203 4.42871i 0.209931 0.170841i
\(673\) 14.8200 14.8200i 0.571271 0.571271i −0.361213 0.932483i \(-0.617637\pi\)
0.932483 + 0.361213i \(0.117637\pi\)
\(674\) −9.84644 + 17.0545i −0.379271 + 0.656916i
\(675\) −18.5908 18.1489i −0.715559 0.698552i
\(676\) 1.10325 + 1.91089i 0.0424327 + 0.0734956i
\(677\) −0.0551469 0.205811i −0.00211947 0.00790997i 0.964858 0.262772i \(-0.0846367\pi\)
−0.966977 + 0.254862i \(0.917970\pi\)
\(678\) 20.0222 + 15.3278i 0.768948 + 0.588661i
\(679\) −7.27880 24.4566i −0.279335 0.938557i
\(680\) 7.84083 16.0745i 0.300682 0.616430i
\(681\) 9.40649 22.7817i 0.360457 0.872998i
\(682\) −11.4022 + 42.5534i −0.436611 + 1.62945i
\(683\) 9.98776 37.2748i 0.382171 1.42628i −0.460408 0.887708i \(-0.652297\pi\)
0.842579 0.538573i \(-0.181037\pi\)
\(684\) 1.47061 + 0.390504i 0.0562302 + 0.0149313i
\(685\) 4.84320 + 14.0674i 0.185049 + 0.537488i
\(686\) −22.9130 + 8.21416i −0.874823 + 0.313618i
\(687\) 18.9321 24.7304i 0.722305 0.943522i
\(688\) 9.41447 + 35.1353i 0.358923 + 1.33952i
\(689\) −2.13232 3.69329i −0.0812350 0.140703i
\(690\) −10.4800 6.92020i −0.398967 0.263447i
\(691\) 10.7637 18.6432i 0.409469 0.709220i −0.585362 0.810772i \(-0.699047\pi\)
0.994830 + 0.101552i \(0.0323808\pi\)
\(692\) −1.84211 + 1.84211i −0.0700266 + 0.0700266i
\(693\) 30.1677 + 7.12964i 1.14598 + 0.270833i
\(694\) 28.3611i 1.07657i
\(695\) −22.8864 + 15.4358i −0.868130 + 0.585513i
\(696\) −2.10437 + 1.61850i −0.0797658 + 0.0613492i
\(697\) 0.213789 0.797873i 0.00809785 0.0302216i
\(698\) 36.1955 9.69855i 1.37002 0.367095i
\(699\) −2.63840 19.8679i −0.0997934 0.751472i
\(700\) −1.25905 + 3.38001i −0.0475875 + 0.127752i
\(701\) 5.55742i 0.209901i −0.994477 0.104951i \(-0.966532\pi\)
0.994477 0.104951i \(-0.0334684\pi\)
\(702\) 11.9711 9.25010i 0.451819 0.349122i
\(703\) 12.2903 + 3.29316i 0.463536 + 0.124204i
\(704\) −17.1313 29.6724i −0.645662 1.11832i
\(705\) −13.5930 15.3305i −0.511942 0.577379i
\(706\) −16.1461 −0.607665
\(707\) −12.0902 + 0.332246i −0.454697 + 0.0124954i
\(708\) −0.148767 + 0.194329i −0.00559100 + 0.00730333i
\(709\) 33.7512 + 19.4863i 1.26755 + 0.731822i 0.974524 0.224282i \(-0.0720036\pi\)
0.293028 + 0.956104i \(0.405337\pi\)
\(710\) −34.0999 29.6448i −1.27975 1.11255i
\(711\) −10.7419 10.6936i −0.402852 0.401043i
\(712\) 32.7475 8.77465i 1.22726 0.328844i
\(713\) −14.9734 14.9734i −0.560758 0.560758i
\(714\) 13.0706 + 9.44814i 0.489156 + 0.353588i
\(715\) −18.2919 + 6.29763i −0.684078 + 0.235518i
\(716\) 2.54559 + 1.46969i 0.0951330 + 0.0549251i
\(717\) −5.39107 + 41.3083i −0.201333 + 1.54269i
\(718\) 6.11354 + 1.63812i 0.228155 + 0.0611340i
\(719\) 6.37639 11.0442i 0.237799 0.411881i −0.722283 0.691597i \(-0.756907\pi\)
0.960083 + 0.279717i \(0.0902406\pi\)
\(720\) −22.2690 4.27755i −0.829915 0.159415i
\(721\) −6.22844 + 26.0920i −0.231959 + 0.971716i
\(722\) 14.4417 14.4417i 0.537463 0.537463i
\(723\) −2.26255 + 0.940163i −0.0841451 + 0.0349650i
\(724\) −0.676831 + 0.390769i −0.0251542 + 0.0145228i
\(725\) 0.961333 2.37886i 0.0357030 0.0883487i
\(726\) 3.69468 8.94821i 0.137122 0.332099i
\(727\) 7.96907 + 7.96907i 0.295557 + 0.295557i 0.839271 0.543714i \(-0.182982\pi\)
−0.543714 + 0.839271i \(0.682982\pi\)
\(728\) −15.3957 8.33341i −0.570602 0.308857i
\(729\) −19.2203 18.9626i −0.711864 0.702317i
\(730\) 7.05951 4.76131i 0.261284 0.176224i
\(731\) 24.9544 14.4074i 0.922971 0.532877i
\(732\) 2.39246 + 0.312235i 0.0884279 + 0.0115405i
\(733\) 1.40354 + 5.23810i 0.0518411 + 0.193474i 0.986990 0.160781i \(-0.0514013\pi\)
−0.935149 + 0.354255i \(0.884735\pi\)
\(734\) 18.8337 0.695165
\(735\) −23.4099 13.6739i −0.863488 0.504369i
\(736\) 3.77754 0.139242
\(737\) 9.15178 + 34.1549i 0.337110 + 1.25811i
\(738\) −1.21625 + 0.00273689i −0.0447706 + 0.000100746i
\(739\) 12.8892 7.44158i 0.474136 0.273743i −0.243833 0.969817i \(-0.578405\pi\)
0.717970 + 0.696074i \(0.245072\pi\)
\(740\) 4.09357 + 0.795871i 0.150483 + 0.0292568i
\(741\) −0.939584 7.07532i −0.0345165 0.259918i
\(742\) −5.88709 3.18657i −0.216122 0.116983i
\(743\) −22.4301 22.4301i −0.822879 0.822879i 0.163641 0.986520i \(-0.447676\pi\)
−0.986520 + 0.163641i \(0.947676\pi\)
\(744\) −41.0420 16.9461i −1.50467 0.621273i
\(745\) 21.9329 1.53286i 0.803561 0.0561597i
\(746\) 1.32747 0.766412i 0.0486020 0.0280604i
\(747\) 19.5089 + 33.6154i 0.713792 + 1.22992i
\(748\) −2.01628 + 2.01628i −0.0737225 + 0.0737225i
\(749\) 1.08592 4.54911i 0.0396787 0.166221i
\(750\) 23.9826 8.51997i 0.875720 0.311105i
\(751\) 21.2065 36.7307i 0.773836 1.34032i −0.161610 0.986855i \(-0.551669\pi\)
0.935446 0.353469i \(-0.114998\pi\)
\(752\) −17.2734 4.62839i −0.629895 0.168780i
\(753\) −18.7020 2.44076i −0.681539 0.0889463i
\(754\) 1.29387 + 0.747017i 0.0471200 + 0.0272047i
\(755\) −1.10878 + 2.27311i −0.0403525 + 0.0827268i
\(756\) −1.32695 + 3.50566i −0.0482607 + 0.127500i
\(757\) 13.4589 + 13.4589i 0.489171 + 0.489171i 0.908045 0.418873i \(-0.137575\pi\)
−0.418873 + 0.908045i \(0.637575\pi\)
\(758\) 31.5781 8.46132i 1.14697 0.307329i
\(759\) 10.1748 + 13.2292i 0.369322 + 0.480190i
\(760\) −8.15131 + 9.37629i −0.295679 + 0.340114i
\(761\) 29.3030