Properties

Label 585.2.bt.b.571.37
Level $585$
Weight $2$
Character 585.571
Analytic conductor $4.671$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 585.bt (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.67124851824\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(54\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 571.37
Character \(\chi\) \(=\) 585.571
Dual form 585.2.bt.b.376.37

$q$-expansion

\(f(q)\) \(=\) \(q+(1.07284 - 0.619404i) q^{2} +(-1.48219 - 0.896168i) q^{3} +(-0.232678 + 0.403011i) q^{4} +(-0.866025 - 0.500000i) q^{5} +(-2.14524 - 0.0433707i) q^{6} +(-0.166629 + 0.0962033i) q^{7} +3.05410i q^{8} +(1.39377 + 2.65658i) q^{9} +O(q^{10})\) \(q+(1.07284 - 0.619404i) q^{2} +(-1.48219 - 0.896168i) q^{3} +(-0.232678 + 0.403011i) q^{4} +(-0.866025 - 0.500000i) q^{5} +(-2.14524 - 0.0433707i) q^{6} +(-0.166629 + 0.0962033i) q^{7} +3.05410i q^{8} +(1.39377 + 2.65658i) q^{9} -1.23881 q^{10} +(-0.223697 + 0.129152i) q^{11} +(0.706038 - 0.388819i) q^{12} +(2.62095 + 2.47601i) q^{13} +(-0.119177 + 0.206421i) q^{14} +(0.835529 + 1.51720i) q^{15} +(1.42637 + 2.47054i) q^{16} +3.42590 q^{17} +(3.14078 + 1.98678i) q^{18} +2.08354i q^{19} +(0.403011 - 0.232678i) q^{20} +(0.333190 + 0.00673617i) q^{21} +(-0.159994 + 0.277118i) q^{22} +(0.614267 - 1.06394i) q^{23} +(2.73699 - 4.52675i) q^{24} +(0.500000 + 0.866025i) q^{25} +(4.34550 + 1.03294i) q^{26} +(0.314919 - 5.18660i) q^{27} -0.0895377i q^{28} +(4.55796 + 7.89462i) q^{29} +(1.83615 + 1.11018i) q^{30} +(2.13714 + 1.23388i) q^{31} +(-2.22934 - 1.28711i) q^{32} +(0.447303 + 0.00904322i) q^{33} +(3.67544 - 2.12202i) q^{34} +0.192407 q^{35} +(-1.39493 - 0.0564262i) q^{36} +1.41990i q^{37} +(1.29055 + 2.23531i) q^{38} +(-1.66581 - 6.01873i) q^{39} +(1.52705 - 2.64493i) q^{40} +(-9.38294 - 5.41724i) q^{41} +(0.361632 - 0.199152i) q^{42} +(5.21080 + 9.02537i) q^{43} -0.120203i q^{44} +(0.121254 - 2.99755i) q^{45} -1.52192i q^{46} +(2.32341 - 1.34142i) q^{47} +(0.0998742 - 4.94006i) q^{48} +(-3.48149 + 6.03012i) q^{49} +(1.07284 + 0.619404i) q^{50} +(-5.07784 - 3.07019i) q^{51} +(-1.60770 + 0.480155i) q^{52} +9.93408 q^{53} +(-2.87474 - 5.75945i) q^{54} +0.258303 q^{55} +(-0.293815 - 0.508902i) q^{56} +(1.86721 - 3.08821i) q^{57} +(9.77991 + 5.64643i) q^{58} +(-10.3335 - 5.96605i) q^{59} +(-0.805857 - 0.0162922i) q^{60} +(2.57942 + 4.46768i) q^{61} +3.05707 q^{62} +(-0.487814 - 0.308579i) q^{63} -8.89442 q^{64} +(-1.03180 - 3.45476i) q^{65} +(0.485486 - 0.267359i) q^{66} +(-8.23135 - 4.75237i) q^{67} +(-0.797133 + 1.38068i) q^{68} +(-1.86393 + 1.02648i) q^{69} +(0.206421 - 0.119177i) q^{70} +6.11596i q^{71} +(-8.11347 + 4.25670i) q^{72} +10.7486i q^{73} +(0.879489 + 1.52332i) q^{74} +(0.0350101 - 1.73170i) q^{75} +(-0.839690 - 0.484795i) q^{76} +(0.0248496 - 0.0430409i) q^{77} +(-5.51517 - 5.42531i) q^{78} +(-2.92403 - 5.06458i) q^{79} -2.85273i q^{80} +(-5.11484 + 7.40530i) q^{81} -13.4218 q^{82} +(3.67679 - 2.12279i) q^{83} +(-0.0802408 + 0.132712i) q^{84} +(-2.96692 - 1.71295i) q^{85} +(11.1807 + 6.45518i) q^{86} +(0.319149 - 15.7860i) q^{87} +(-0.394442 - 0.683194i) q^{88} -2.03536i q^{89} +(-1.72661 - 3.29099i) q^{90} +(-0.674927 - 0.160432i) q^{91} +(0.285853 + 0.495112i) q^{92} +(-2.06188 - 3.74407i) q^{93} +(1.66176 - 2.87826i) q^{94} +(1.04177 - 1.80440i) q^{95} +(2.15084 + 3.90560i) q^{96} +(5.71691 - 3.30066i) q^{97} +8.62579i q^{98} +(-0.654883 - 0.414263i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9} - 8 q^{10} - 36 q^{12} - 4 q^{13} - 8 q^{14} - 64 q^{16} + 36 q^{17} + 24 q^{22} - 22 q^{23} + 54 q^{25} + 40 q^{26} + 48 q^{27} - 16 q^{29} + 20 q^{30} - 40 q^{35} - 76 q^{36} - 12 q^{38} + 26 q^{39} - 52 q^{42} - 6 q^{43} - 68 q^{48} + 58 q^{49} + 34 q^{51} + 22 q^{52} - 116 q^{53} + 24 q^{55} + 40 q^{56} + 18 q^{61} + 152 q^{62} - 216 q^{64} + 2 q^{65} - 72 q^{66} - 134 q^{69} + 32 q^{74} + 40 q^{77} - 34 q^{78} + 18 q^{79} + 34 q^{81} + 88 q^{82} + 60 q^{87} + 8 q^{90} + 16 q^{91} + 176 q^{92} - 76 q^{94} - 56 q^{95}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(1\) \(-1\)

Coefficient data

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.07284 0.619404i 0.758611 0.437985i −0.0701855 0.997534i \(-0.522359\pi\)
0.828797 + 0.559549i \(0.189026\pi\)
\(3\) −1.48219 0.896168i −0.855742 0.517403i
\(4\) −0.232678 + 0.403011i −0.116339 + 0.201505i
\(5\) −0.866025 0.500000i −0.387298 0.223607i
\(6\) −2.14524 0.0433707i −0.875790 0.0177060i
\(7\) −0.166629 + 0.0962033i −0.0629799 + 0.0363614i −0.531159 0.847272i \(-0.678243\pi\)
0.468179 + 0.883633i \(0.344910\pi\)
\(8\) 3.05410i 1.07979i
\(9\) 1.39377 + 2.65658i 0.464589 + 0.885527i
\(10\) −1.23881 −0.391745
\(11\) −0.223697 + 0.129152i −0.0674473 + 0.0389407i −0.533344 0.845898i \(-0.679065\pi\)
0.465897 + 0.884839i \(0.345732\pi\)
\(12\) 0.706038 0.388819i 0.203816 0.112242i
\(13\) 2.62095 + 2.47601i 0.726920 + 0.686722i
\(14\) −0.119177 + 0.206421i −0.0318515 + 0.0551684i
\(15\) 0.835529 + 1.51720i 0.215733 + 0.391739i
\(16\) 1.42637 + 2.47054i 0.356591 + 0.617634i
\(17\) 3.42590 0.830904 0.415452 0.909615i \(-0.363623\pi\)
0.415452 + 0.909615i \(0.363623\pi\)
\(18\) 3.14078 + 1.98678i 0.740289 + 0.468288i
\(19\) 2.08354i 0.477998i 0.971020 + 0.238999i \(0.0768192\pi\)
−0.971020 + 0.238999i \(0.923181\pi\)
\(20\) 0.403011 0.232678i 0.0901159 0.0520284i
\(21\) 0.333190 + 0.00673617i 0.0727080 + 0.00146995i
\(22\) −0.159994 + 0.277118i −0.0341108 + 0.0590817i
\(23\) 0.614267 1.06394i 0.128083 0.221847i −0.794851 0.606805i \(-0.792451\pi\)
0.922934 + 0.384958i \(0.125784\pi\)
\(24\) 2.73699 4.52675i 0.558685 0.924020i
\(25\) 0.500000 + 0.866025i 0.100000 + 0.173205i
\(26\) 4.34550 + 1.03294i 0.852223 + 0.202576i
\(27\) 0.314919 5.18660i 0.0606062 0.998162i
\(28\) 0.0895377i 0.0169210i
\(29\) 4.55796 + 7.89462i 0.846392 + 1.46599i 0.884407 + 0.466717i \(0.154563\pi\)
−0.0380149 + 0.999277i \(0.512103\pi\)
\(30\) 1.83615 + 1.11018i 0.335233 + 0.202690i
\(31\) 2.13714 + 1.23388i 0.383841 + 0.221611i 0.679488 0.733686i \(-0.262202\pi\)
−0.295647 + 0.955297i \(0.595535\pi\)
\(32\) −2.22934 1.28711i −0.394095 0.227531i
\(33\) 0.447303 + 0.00904322i 0.0778655 + 0.00157422i
\(34\) 3.67544 2.12202i 0.630333 0.363923i
\(35\) 0.192407 0.0325227
\(36\) −1.39493 0.0564262i −0.232488 0.00940436i
\(37\) 1.41990i 0.233430i 0.993165 + 0.116715i \(0.0372363\pi\)
−0.993165 + 0.116715i \(0.962764\pi\)
\(38\) 1.29055 + 2.23531i 0.209356 + 0.362615i
\(39\) −1.66581 6.01873i −0.266744 0.963767i
\(40\) 1.52705 2.64493i 0.241448 0.418200i
\(41\) −9.38294 5.41724i −1.46537 0.846031i −0.466118 0.884723i \(-0.654348\pi\)
−0.999251 + 0.0386914i \(0.987681\pi\)
\(42\) 0.361632 0.199152i 0.0558010 0.0307299i
\(43\) 5.21080 + 9.02537i 0.794640 + 1.37636i 0.923068 + 0.384637i \(0.125674\pi\)
−0.128428 + 0.991719i \(0.540993\pi\)
\(44\) 0.120203i 0.0181213i
\(45\) 0.121254 2.99755i 0.0180754 0.446848i
\(46\) 1.52192i 0.224394i
\(47\) 2.32341 1.34142i 0.338905 0.195667i −0.320883 0.947119i \(-0.603980\pi\)
0.659788 + 0.751452i \(0.270646\pi\)
\(48\) 0.0998742 4.94006i 0.0144156 0.713037i
\(49\) −3.48149 + 6.03012i −0.497356 + 0.861445i
\(50\) 1.07284 + 0.619404i 0.151722 + 0.0875969i
\(51\) −5.07784 3.07019i −0.711039 0.429912i
\(52\) −1.60770 + 0.480155i −0.222947 + 0.0665856i
\(53\) 9.93408 1.36455 0.682276 0.731095i \(-0.260990\pi\)
0.682276 + 0.731095i \(0.260990\pi\)
\(54\) −2.87474 5.75945i −0.391203 0.783761i
\(55\) 0.258303 0.0348296
\(56\) −0.293815 0.508902i −0.0392627 0.0680049i
\(57\) 1.86721 3.08821i 0.247317 0.409043i
\(58\) 9.77991 + 5.64643i 1.28417 + 0.741413i
\(59\) −10.3335 5.96605i −1.34531 0.776714i −0.357727 0.933826i \(-0.616448\pi\)
−0.987581 + 0.157112i \(0.949782\pi\)
\(60\) −0.805857 0.0162922i −0.104036 0.00210331i
\(61\) 2.57942 + 4.46768i 0.330261 + 0.572028i 0.982563 0.185931i \(-0.0595300\pi\)
−0.652302 + 0.757959i \(0.726197\pi\)
\(62\) 3.05707 0.388249
\(63\) −0.487814 0.308579i −0.0614588 0.0388772i
\(64\) −8.89442 −1.11180
\(65\) −1.03180 3.45476i −0.127979 0.428511i
\(66\) 0.485486 0.267359i 0.0597591 0.0329097i
\(67\) −8.23135 4.75237i −1.00562 0.580595i −0.0957136 0.995409i \(-0.530513\pi\)
−0.909906 + 0.414814i \(0.863847\pi\)
\(68\) −0.797133 + 1.38068i −0.0966666 + 0.167432i
\(69\) −1.86393 + 1.02648i −0.224391 + 0.123573i
\(70\) 0.206421 0.119177i 0.0246721 0.0142444i
\(71\) 6.11596i 0.725831i 0.931822 + 0.362916i \(0.118219\pi\)
−0.931822 + 0.362916i \(0.881781\pi\)
\(72\) −8.11347 + 4.25670i −0.956181 + 0.501657i
\(73\) 10.7486i 1.25803i 0.777394 + 0.629015i \(0.216541\pi\)
−0.777394 + 0.629015i \(0.783459\pi\)
\(74\) 0.879489 + 1.52332i 0.102239 + 0.177082i
\(75\) 0.0350101 1.73170i 0.00404261 0.199959i
\(76\) −0.839690 0.484795i −0.0963191 0.0556098i
\(77\) 0.0248496 0.0430409i 0.00283188 0.00490496i
\(78\) −5.51517 5.42531i −0.624470 0.614295i
\(79\) −2.92403 5.06458i −0.328980 0.569809i 0.653330 0.757073i \(-0.273371\pi\)
−0.982310 + 0.187264i \(0.940038\pi\)
\(80\) 2.85273i 0.318945i
\(81\) −5.11484 + 7.40530i −0.568315 + 0.822811i
\(82\) −13.4218 −1.48219
\(83\) 3.67679 2.12279i 0.403580 0.233007i −0.284448 0.958692i \(-0.591810\pi\)
0.688027 + 0.725685i \(0.258477\pi\)
\(84\) −0.0802408 + 0.132712i −0.00875499 + 0.0144800i
\(85\) −2.96692 1.71295i −0.321808 0.185796i
\(86\) 11.1807 + 6.45518i 1.20565 + 0.696080i
\(87\) 0.319149 15.7860i 0.0342164 1.69244i
\(88\) −0.394442 0.683194i −0.0420477 0.0728288i
\(89\) 2.03536i 0.215748i −0.994165 0.107874i \(-0.965596\pi\)
0.994165 0.107874i \(-0.0344043\pi\)
\(90\) −1.72661 3.29099i −0.182000 0.346901i
\(91\) −0.674927 0.160432i −0.0707515 0.0168178i
\(92\) 0.285853 + 0.495112i 0.0298022 + 0.0516190i
\(93\) −2.06188 3.74407i −0.213807 0.388242i
\(94\) 1.66176 2.87826i 0.171398 0.296870i
\(95\) 1.04177 1.80440i 0.106884 0.185128i
\(96\) 2.15084 + 3.90560i 0.219519 + 0.398614i
\(97\) 5.71691 3.30066i 0.580464 0.335131i −0.180854 0.983510i \(-0.557886\pi\)
0.761318 + 0.648379i \(0.224553\pi\)
\(98\) 8.62579i 0.871336i
\(99\) −0.654883 0.414263i −0.0658183 0.0416350i
\(100\) −0.465357 −0.0465357
\(101\) −5.02374 8.70137i −0.499880 0.865818i 0.500120 0.865956i \(-0.333289\pi\)
−1.00000 0.000138125i \(0.999956\pi\)
\(102\) −7.34938 0.148584i −0.727697 0.0147120i
\(103\) 2.27731 3.94442i 0.224390 0.388656i −0.731746 0.681578i \(-0.761294\pi\)
0.956136 + 0.292922i \(0.0946276\pi\)
\(104\) −7.56199 + 8.00464i −0.741514 + 0.784919i
\(105\) −0.285183 0.172429i −0.0278310 0.0168273i
\(106\) 10.6577 6.15321i 1.03516 0.597652i
\(107\) 9.06498 0.876345 0.438172 0.898891i \(-0.355626\pi\)
0.438172 + 0.898891i \(0.355626\pi\)
\(108\) 2.01698 + 1.33372i 0.194084 + 0.128338i
\(109\) 6.52955i 0.625417i −0.949849 0.312709i \(-0.898764\pi\)
0.949849 0.312709i \(-0.101236\pi\)
\(110\) 0.277118 0.159994i 0.0264221 0.0152548i
\(111\) 1.27247 2.10455i 0.120777 0.199755i
\(112\) −0.475348 0.274442i −0.0449161 0.0259323i
\(113\) 1.27975 2.21659i 0.120389 0.208519i −0.799532 0.600623i \(-0.794919\pi\)
0.919921 + 0.392104i \(0.128253\pi\)
\(114\) 0.0903648 4.46970i 0.00846344 0.418626i
\(115\) −1.06394 + 0.614267i −0.0992130 + 0.0572807i
\(116\) −4.24215 −0.393874
\(117\) −2.92474 + 10.4137i −0.270392 + 0.962750i
\(118\) −14.7816 −1.36075
\(119\) −0.570855 + 0.329583i −0.0523302 + 0.0302129i
\(120\) −4.63368 + 2.55179i −0.422995 + 0.232945i
\(121\) −5.46664 + 9.46850i −0.496967 + 0.860773i
\(122\) 5.53460 + 3.19540i 0.501079 + 0.289298i
\(123\) 9.05253 + 16.4381i 0.816239 + 1.48217i
\(124\) −0.994531 + 0.574193i −0.0893115 + 0.0515640i
\(125\) 1.00000i 0.0894427i
\(126\) −0.714480 0.0289014i −0.0636509 0.00257474i
\(127\) −15.5870 −1.38312 −0.691560 0.722319i \(-0.743076\pi\)
−0.691560 + 0.722319i \(0.743076\pi\)
\(128\) −5.08360 + 2.93502i −0.449331 + 0.259421i
\(129\) 0.364861 18.0471i 0.0321242 1.58895i
\(130\) −3.24685 3.06730i −0.284767 0.269020i
\(131\) 9.15493 15.8568i 0.799870 1.38542i −0.119830 0.992794i \(-0.538235\pi\)
0.919700 0.392621i \(-0.128432\pi\)
\(132\) −0.107722 + 0.178164i −0.00937602 + 0.0155072i
\(133\) −0.200444 0.347179i −0.0173807 0.0301042i
\(134\) −11.7746 −1.01717
\(135\) −2.86603 + 4.33427i −0.246668 + 0.373034i
\(136\) 10.4631i 0.897200i
\(137\) 10.5610 6.09742i 0.902290 0.520937i 0.0243476 0.999704i \(-0.492249\pi\)
0.877942 + 0.478766i \(0.158916\pi\)
\(138\) −1.36389 + 2.25577i −0.116102 + 0.192024i
\(139\) −1.78193 + 3.08639i −0.151141 + 0.261784i −0.931647 0.363364i \(-0.881628\pi\)
0.780506 + 0.625148i \(0.214961\pi\)
\(140\) −0.0447689 + 0.0775419i −0.00378366 + 0.00655349i
\(141\) −4.64588 0.0939266i −0.391253 0.00791005i
\(142\) 3.78825 + 6.56144i 0.317903 + 0.550624i
\(143\) −0.906080 0.215377i −0.0757702 0.0180108i
\(144\) −4.57516 + 7.23260i −0.381263 + 0.602717i
\(145\) 9.11592i 0.757036i
\(146\) 6.65772 + 11.5315i 0.550997 + 0.954355i
\(147\) 10.5642 5.81777i 0.871322 0.479842i
\(148\) −0.572233 0.330379i −0.0470373 0.0271570i
\(149\) −2.12719 1.22814i −0.174267 0.100613i 0.410330 0.911937i \(-0.365414\pi\)
−0.584596 + 0.811324i \(0.698747\pi\)
\(150\) −1.03506 1.87952i −0.0845122 0.153462i
\(151\) −14.9072 + 8.60666i −1.21313 + 0.700400i −0.963439 0.267926i \(-0.913662\pi\)
−0.249689 + 0.968326i \(0.580328\pi\)
\(152\) −6.36336 −0.516136
\(153\) 4.77491 + 9.10119i 0.386028 + 0.735787i
\(154\) 0.0615678i 0.00496128i
\(155\) −1.23388 2.13714i −0.0991074 0.171659i
\(156\) 2.81321 + 0.729086i 0.225237 + 0.0583736i
\(157\) 5.35683 9.27831i 0.427522 0.740489i −0.569130 0.822247i \(-0.692720\pi\)
0.996652 + 0.0817578i \(0.0260534\pi\)
\(158\) −6.27403 3.62231i −0.499135 0.288176i
\(159\) −14.7242 8.90261i −1.16770 0.706023i
\(160\) 1.28711 + 2.22934i 0.101755 + 0.176245i
\(161\) 0.236378i 0.0186292i
\(162\) −0.900523 + 11.1128i −0.0707517 + 0.873107i
\(163\) 3.83591i 0.300451i 0.988652 + 0.150226i \(0.0480000\pi\)
−0.988652 + 0.150226i \(0.952000\pi\)
\(164\) 4.36641 2.52095i 0.340960 0.196853i
\(165\) −0.382854 0.231483i −0.0298052 0.0180209i
\(166\) 2.62973 4.55483i 0.204107 0.353523i
\(167\) 11.2747 + 6.50944i 0.872461 + 0.503716i 0.868165 0.496275i \(-0.165299\pi\)
0.00429595 + 0.999991i \(0.498633\pi\)
\(168\) −0.0205729 + 1.01760i −0.00158724 + 0.0785093i
\(169\) 0.738728 + 12.9790i 0.0568252 + 0.998384i
\(170\) −4.24403 −0.325503
\(171\) −5.53510 + 2.90397i −0.423280 + 0.222072i
\(172\) −4.84976 −0.369791
\(173\) 5.83561 + 10.1076i 0.443673 + 0.768464i 0.997959 0.0638622i \(-0.0203418\pi\)
−0.554286 + 0.832327i \(0.687008\pi\)
\(174\) −9.43552 17.1335i −0.715305 1.29889i
\(175\) −0.166629 0.0962033i −0.0125960 0.00727229i
\(176\) −0.638148 0.368435i −0.0481022 0.0277718i
\(177\) 9.96962 + 18.1034i 0.749363 + 1.36073i
\(178\) −1.26071 2.18362i −0.0944943 0.163669i
\(179\) 21.1296 1.57930 0.789650 0.613558i \(-0.210262\pi\)
0.789650 + 0.613558i \(0.210262\pi\)
\(180\) 1.17983 + 0.746331i 0.0879394 + 0.0556282i
\(181\) 20.7303 1.54087 0.770436 0.637518i \(-0.220039\pi\)
0.770436 + 0.637518i \(0.220039\pi\)
\(182\) −0.823459 + 0.245935i −0.0610389 + 0.0182299i
\(183\) 0.180611 8.93354i 0.0133512 0.660386i
\(184\) 3.24939 + 1.87603i 0.239548 + 0.138303i
\(185\) 0.709948 1.22967i 0.0521964 0.0904069i
\(186\) −4.53116 2.73965i −0.332241 0.200881i
\(187\) −0.766365 + 0.442461i −0.0560422 + 0.0323560i
\(188\) 1.24848i 0.0910548i
\(189\) 0.446494 + 0.894535i 0.0324776 + 0.0650678i
\(190\) 2.58111i 0.187253i
\(191\) −9.90652 17.1586i −0.716811 1.24155i −0.962257 0.272143i \(-0.912268\pi\)
0.245446 0.969410i \(-0.421066\pi\)
\(192\) 13.1832 + 7.97090i 0.951416 + 0.575250i
\(193\) −10.3519 5.97666i −0.745145 0.430210i 0.0787920 0.996891i \(-0.474894\pi\)
−0.823937 + 0.566681i \(0.808227\pi\)
\(194\) 4.08888 7.08215i 0.293565 0.508469i
\(195\) −1.56672 + 6.04528i −0.112196 + 0.432911i
\(196\) −1.62013 2.80615i −0.115724 0.200440i
\(197\) 12.5008i 0.890642i −0.895371 0.445321i \(-0.853090\pi\)
0.895371 0.445321i \(-0.146910\pi\)
\(198\) −0.959180 0.0387997i −0.0681659 0.00275738i
\(199\) 2.23373 0.158345 0.0791724 0.996861i \(-0.474772\pi\)
0.0791724 + 0.996861i \(0.474772\pi\)
\(200\) −2.64493 + 1.52705i −0.187025 + 0.107979i
\(201\) 7.94149 + 14.4206i 0.560150 + 1.01715i
\(202\) −10.7793 6.22344i −0.758430 0.437880i
\(203\) −1.51898 0.876982i −0.106611 0.0615521i
\(204\) 2.41882 1.33206i 0.169351 0.0932626i
\(205\) 5.41724 + 9.38294i 0.378357 + 0.655333i
\(206\) 5.64231i 0.393118i
\(207\) 3.68259 + 0.148964i 0.255958 + 0.0103537i
\(208\) −2.37865 + 10.0068i −0.164930 + 0.693850i
\(209\) −0.269093 0.466083i −0.0186136 0.0322396i
\(210\) −0.412758 0.00834481i −0.0284830 0.000575847i
\(211\) 6.01185 10.4128i 0.413872 0.716848i −0.581437 0.813592i \(-0.697509\pi\)
0.995309 + 0.0967433i \(0.0308426\pi\)
\(212\) −2.31145 + 4.00354i −0.158751 + 0.274964i
\(213\) 5.48093 9.06501i 0.375547 0.621124i
\(214\) 9.72526 5.61488i 0.664805 0.383825i
\(215\) 10.4216i 0.710747i
\(216\) 15.8404 + 0.961794i 1.07780 + 0.0654418i
\(217\) −0.474812 −0.0322324
\(218\) −4.04443 7.00515i −0.273923 0.474449i
\(219\) 9.63256 15.9315i 0.650908 1.07655i
\(220\) −0.0601016 + 0.104099i −0.00405205 + 0.00701835i
\(221\) 8.97911 + 8.48258i 0.604000 + 0.570600i
\(222\) 0.0615819 3.04602i 0.00413311 0.204435i
\(223\) −2.63097 + 1.51899i −0.176182 + 0.101719i −0.585498 0.810674i \(-0.699101\pi\)
0.409315 + 0.912393i \(0.365768\pi\)
\(224\) 0.495297 0.0330934
\(225\) −1.60378 + 2.53533i −0.106919 + 0.169022i
\(226\) 3.17073i 0.210914i
\(227\) 24.6458 14.2292i 1.63580 0.944428i 0.653539 0.756893i \(-0.273283\pi\)
0.982258 0.187535i \(-0.0600499\pi\)
\(228\) 0.810121 + 1.47106i 0.0536516 + 0.0974235i
\(229\) 9.65151 + 5.57230i 0.637790 + 0.368228i 0.783763 0.621061i \(-0.213298\pi\)
−0.145973 + 0.989289i \(0.546631\pi\)
\(230\) −0.760958 + 1.31802i −0.0501761 + 0.0869076i
\(231\) −0.0754037 + 0.0415252i −0.00496120 + 0.00273216i
\(232\) −24.1110 + 13.9205i −1.58296 + 0.913924i
\(233\) −14.0822 −0.922558 −0.461279 0.887255i \(-0.652609\pi\)
−0.461279 + 0.887255i \(0.652609\pi\)
\(234\) 3.31253 + 12.9839i 0.216547 + 0.848781i
\(235\) −2.68285 −0.175010
\(236\) 4.80877 2.77634i 0.313024 0.180724i
\(237\) −0.204741 + 10.1271i −0.0132994 + 0.657825i
\(238\) −0.408290 + 0.707180i −0.0264655 + 0.0458396i
\(239\) −10.1934 5.88514i −0.659354 0.380678i 0.132677 0.991159i \(-0.457643\pi\)
−0.792031 + 0.610481i \(0.790976\pi\)
\(240\) −2.55653 + 4.22828i −0.165023 + 0.272935i
\(241\) 15.4519 8.92116i 0.995345 0.574663i 0.0884771 0.996078i \(-0.471800\pi\)
0.906868 + 0.421416i \(0.138467\pi\)
\(242\) 13.5442i 0.870656i
\(243\) 14.2175 6.39230i 0.912056 0.410066i
\(244\) −2.40070 −0.153689
\(245\) 6.03012 3.48149i 0.385250 0.222424i
\(246\) 19.8937 + 12.0282i 1.26838 + 0.766892i
\(247\) −5.15888 + 5.46086i −0.328252 + 0.347466i
\(248\) −3.76839 + 6.52704i −0.239293 + 0.414467i
\(249\) −7.35207 0.148638i −0.465919 0.00941957i
\(250\) −0.619404 1.07284i −0.0391745 0.0678523i
\(251\) −9.05817 −0.571747 −0.285873 0.958267i \(-0.592284\pi\)
−0.285873 + 0.958267i \(0.592284\pi\)
\(252\) 0.237864 0.124795i 0.0149840 0.00786132i
\(253\) 0.317334i 0.0199506i
\(254\) −16.7223 + 9.65463i −1.04925 + 0.605785i
\(255\) 2.86244 + 5.19778i 0.179253 + 0.325497i
\(256\) 5.25850 9.10799i 0.328656 0.569250i
\(257\) −2.37807 + 4.11893i −0.148340 + 0.256932i −0.930614 0.366002i \(-0.880726\pi\)
0.782274 + 0.622934i \(0.214060\pi\)
\(258\) −10.7870 19.5876i −0.671568 1.21947i
\(259\) −0.136599 0.236596i −0.00848783 0.0147014i
\(260\) 1.63238 + 0.388022i 0.101236 + 0.0240641i
\(261\) −14.6200 + 23.1118i −0.904953 + 1.43059i
\(262\) 22.6824i 1.40132i
\(263\) −3.39788 5.88530i −0.209522 0.362903i 0.742042 0.670353i \(-0.233857\pi\)
−0.951564 + 0.307451i \(0.900524\pi\)
\(264\) −0.0276189 + 1.36611i −0.00169983 + 0.0840782i
\(265\) −8.60317 4.96704i −0.528488 0.305123i
\(266\) −0.430088 0.248311i −0.0263704 0.0152249i
\(267\) −1.82403 + 3.01679i −0.111629 + 0.184625i
\(268\) 3.83051 2.21155i 0.233986 0.135092i
\(269\) −1.94607 −0.118654 −0.0593269 0.998239i \(-0.518895\pi\)
−0.0593269 + 0.998239i \(0.518895\pi\)
\(270\) −0.390124 + 6.42520i −0.0237422 + 0.391025i
\(271\) 7.64114i 0.464166i −0.972696 0.232083i \(-0.925446\pi\)
0.972696 0.232083i \(-0.0745541\pi\)
\(272\) 4.88659 + 8.46382i 0.296293 + 0.513195i
\(273\) 0.856595 + 0.842638i 0.0518435 + 0.0509988i
\(274\) 7.55352 13.0831i 0.456325 0.790378i
\(275\) −0.223697 0.129152i −0.0134895 0.00778814i
\(276\) 0.0200155 0.990022i 0.00120479 0.0595923i
\(277\) 5.21970 + 9.04078i 0.313621 + 0.543208i 0.979143 0.203170i \(-0.0651244\pi\)
−0.665522 + 0.746378i \(0.731791\pi\)
\(278\) 4.41493i 0.264790i
\(279\) −0.299224 + 7.39721i −0.0179141 + 0.442860i
\(280\) 0.587630i 0.0351176i
\(281\) −25.6455 + 14.8064i −1.52988 + 0.883277i −0.530515 + 0.847675i \(0.678002\pi\)
−0.999366 + 0.0356022i \(0.988665\pi\)
\(282\) −5.04245 + 2.77690i −0.300274 + 0.165362i
\(283\) 8.75840 15.1700i 0.520633 0.901763i −0.479079 0.877772i \(-0.659029\pi\)
0.999712 0.0239910i \(-0.00763730\pi\)
\(284\) −2.46480 1.42305i −0.146259 0.0844426i
\(285\) −3.16115 + 1.74086i −0.187250 + 0.103120i
\(286\) −1.10548 + 0.330164i −0.0653686 + 0.0195230i
\(287\) 2.08463 0.123052
\(288\) 0.312134 7.71635i 0.0183926 0.454690i
\(289\) −5.26318 −0.309599
\(290\) −5.64643 9.77991i −0.331570 0.574296i
\(291\) −11.4315 0.231113i −0.670126 0.0135481i
\(292\) −4.33180 2.50097i −0.253500 0.146358i
\(293\) −2.21632 1.27959i −0.129479 0.0747547i 0.433862 0.900980i \(-0.357151\pi\)
−0.563340 + 0.826225i \(0.690484\pi\)
\(294\) 7.73016 12.7850i 0.450832 0.745639i
\(295\) 5.96605 + 10.3335i 0.347357 + 0.601640i
\(296\) −4.33651 −0.252054
\(297\) 0.599412 + 1.20090i 0.0347814 + 0.0696833i
\(298\) −3.04285 −0.176267
\(299\) 4.24429 1.26760i 0.245454 0.0733073i
\(300\) 0.689746 + 0.417038i 0.0398225 + 0.0240777i
\(301\) −1.73654 1.00259i −0.100093 0.0577885i
\(302\) −10.6620 + 18.4671i −0.613529 + 1.06266i
\(303\) −0.351763 + 17.3992i −0.0202082 + 0.999556i
\(304\) −5.14747 + 2.97189i −0.295228 + 0.170450i
\(305\) 5.15884i 0.295394i
\(306\) 10.7600 + 6.80651i 0.615109 + 0.389102i
\(307\) 16.0587i 0.916516i −0.888819 0.458258i \(-0.848474\pi\)
0.888819 0.458258i \(-0.151526\pi\)
\(308\) 0.0115639 + 0.0200293i 0.000658917 + 0.00114128i
\(309\) −6.91028 + 3.80552i −0.393112 + 0.216489i
\(310\) −2.64750 1.52854i −0.150368 0.0868150i
\(311\) 0.0930698 0.161202i 0.00527750 0.00914090i −0.863375 0.504563i \(-0.831653\pi\)
0.868652 + 0.495423i \(0.164987\pi\)
\(312\) 18.3818 5.08757i 1.04066 0.288027i
\(313\) 3.29622 + 5.70923i 0.186314 + 0.322705i 0.944018 0.329893i \(-0.107013\pi\)
−0.757705 + 0.652598i \(0.773679\pi\)
\(314\) 13.2722i 0.748992i
\(315\) 0.268170 + 0.511144i 0.0151097 + 0.0287997i
\(316\) 2.72144 0.153093
\(317\) 19.8122 11.4386i 1.11276 0.642453i 0.173218 0.984883i \(-0.444583\pi\)
0.939543 + 0.342430i \(0.111250\pi\)
\(318\) −21.3110 0.430848i −1.19506 0.0241608i
\(319\) −2.03921 1.17734i −0.114174 0.0659182i
\(320\) 7.70280 + 4.44721i 0.430599 + 0.248607i
\(321\) −13.4360 8.12375i −0.749925 0.453423i
\(322\) 0.146413 + 0.253596i 0.00815930 + 0.0141323i
\(323\) 7.13802i 0.397170i
\(324\) −1.79430 3.78439i −0.0996835 0.210244i
\(325\) −0.833816 + 3.50781i −0.0462518 + 0.194578i
\(326\) 2.37597 + 4.11531i 0.131593 + 0.227926i
\(327\) −5.85157 + 9.67802i −0.323593 + 0.535196i
\(328\) 16.5448 28.6565i 0.913534 1.58229i
\(329\) −0.258099 + 0.447040i −0.0142294 + 0.0246461i
\(330\) −0.554122 0.0112028i −0.0305034 0.000616694i
\(331\) 11.8684 6.85224i 0.652348 0.376633i −0.137007 0.990570i \(-0.543748\pi\)
0.789355 + 0.613937i \(0.210415\pi\)
\(332\) 1.97571i 0.108431i
\(333\) −3.77207 + 1.97900i −0.206708 + 0.108449i
\(334\) 16.1279 0.882479
\(335\) 4.75237 + 8.23135i 0.259650 + 0.449727i
\(336\) 0.458609 + 0.832767i 0.0250192 + 0.0454311i
\(337\) −12.0442 + 20.8612i −0.656090 + 1.13638i 0.325529 + 0.945532i \(0.394458\pi\)
−0.981619 + 0.190850i \(0.938876\pi\)
\(338\) 8.83177 + 13.4668i 0.480385 + 0.732497i
\(339\) −3.88327 + 2.13854i −0.210910 + 0.116149i
\(340\) 1.38068 0.797133i 0.0748776 0.0432306i
\(341\) −0.637429 −0.0345187
\(342\) −4.13954 + 6.54396i −0.223841 + 0.353857i
\(343\) 2.68657i 0.145061i
\(344\) −27.5644 + 15.9143i −1.48617 + 0.858042i
\(345\) 2.12745 + 0.0430110i 0.114538 + 0.00231564i
\(346\) 12.5213 + 7.22919i 0.673151 + 0.388644i
\(347\) 2.60803 4.51725i 0.140007 0.242499i −0.787492 0.616325i \(-0.788621\pi\)
0.927499 + 0.373826i \(0.121954\pi\)
\(348\) 6.28767 + 3.80168i 0.337055 + 0.203792i
\(349\) 13.5744 7.83721i 0.726623 0.419516i −0.0905623 0.995891i \(-0.528866\pi\)
0.817186 + 0.576375i \(0.195533\pi\)
\(350\) −0.238355 −0.0127406
\(351\) 13.6675 12.8141i 0.729516 0.683964i
\(352\) 0.664930 0.0354409
\(353\) −10.7905 + 6.22989i −0.574319 + 0.331583i −0.758873 0.651239i \(-0.774249\pi\)
0.184553 + 0.982822i \(0.440916\pi\)
\(354\) 21.9091 + 13.2468i 1.16446 + 0.704058i
\(355\) 3.05798 5.29658i 0.162301 0.281113i
\(356\) 0.820273 + 0.473585i 0.0434744 + 0.0250999i
\(357\) 1.14148 + 0.0230775i 0.0604134 + 0.00122139i
\(358\) 22.6686 13.0877i 1.19807 0.691709i
\(359\) 23.7595i 1.25398i 0.779027 + 0.626990i \(0.215713\pi\)
−0.779027 + 0.626990i \(0.784287\pi\)
\(360\) 9.15482 + 0.370321i 0.482501 + 0.0195176i
\(361\) 14.6588 0.771518
\(362\) 22.2403 12.8404i 1.16892 0.674878i
\(363\) 16.5880 9.13507i 0.870642 0.479467i
\(364\) 0.221696 0.234674i 0.0116201 0.0123002i
\(365\) 5.37430 9.30856i 0.281304 0.487233i
\(366\) −5.33970 9.69612i −0.279111 0.506824i
\(367\) −5.68566 9.84785i −0.296789 0.514053i 0.678611 0.734498i \(-0.262582\pi\)
−0.975399 + 0.220445i \(0.929249\pi\)
\(368\) 3.50468 0.182694
\(369\) 1.31372 32.4769i 0.0683896 1.69068i
\(370\) 1.75898i 0.0914449i
\(371\) −1.65531 + 0.955692i −0.0859392 + 0.0496170i
\(372\) 1.98866 + 0.0402050i 0.103107 + 0.00208453i
\(373\) 4.09047 7.08489i 0.211796 0.366842i −0.740480 0.672078i \(-0.765402\pi\)
0.952277 + 0.305236i \(0.0987353\pi\)
\(374\) −0.548124 + 0.949379i −0.0283428 + 0.0490912i
\(375\) −0.896168 + 1.48219i −0.0462779 + 0.0765399i
\(376\) 4.09684 + 7.09594i 0.211279 + 0.365945i
\(377\) −7.60100 + 31.9769i −0.391471 + 1.64690i
\(378\) 1.03309 + 0.683132i 0.0531366 + 0.0351365i
\(379\) 13.6581i 0.701569i 0.936456 + 0.350784i \(0.114085\pi\)
−0.936456 + 0.350784i \(0.885915\pi\)
\(380\) 0.484795 + 0.839690i 0.0248695 + 0.0430752i
\(381\) 23.1028 + 13.9686i 1.18359 + 0.715631i
\(382\) −21.2562 12.2723i −1.08756 0.627904i
\(383\) −16.7336 9.66116i −0.855048 0.493662i 0.00730285 0.999973i \(-0.497675\pi\)
−0.862351 + 0.506311i \(0.831009\pi\)
\(384\) 10.1651 + 0.205510i 0.518737 + 0.0104874i
\(385\) −0.0430409 + 0.0248496i −0.00219356 + 0.00126646i
\(386\) −14.8079 −0.753701
\(387\) −16.7140 + 26.4222i −0.849620 + 1.34311i
\(388\) 3.07197i 0.155956i
\(389\) −8.80214 15.2457i −0.446286 0.772990i 0.551855 0.833940i \(-0.313920\pi\)
−0.998141 + 0.0609502i \(0.980587\pi\)
\(390\) 2.06362 + 7.45604i 0.104496 + 0.377551i
\(391\) 2.10442 3.64496i 0.106425 0.184334i
\(392\) −18.4166 10.6328i −0.930178 0.537039i
\(393\) −27.7797 + 15.2984i −1.40130 + 0.771703i
\(394\) −7.74301 13.4113i −0.390087 0.675651i
\(395\) 5.84807i 0.294248i
\(396\) 0.319329 0.167535i 0.0160469 0.00841895i
\(397\) 33.0627i 1.65937i 0.558232 + 0.829685i \(0.311480\pi\)
−0.558232 + 0.829685i \(0.688520\pi\)
\(398\) 2.39643 1.38358i 0.120122 0.0693526i
\(399\) −0.0140351 + 0.694216i −0.000702634 + 0.0347543i
\(400\) −1.42637 + 2.47054i −0.0713183 + 0.123527i
\(401\) 8.36675 + 4.83054i 0.417815 + 0.241226i 0.694142 0.719838i \(-0.255784\pi\)
−0.276327 + 0.961064i \(0.589117\pi\)
\(402\) 17.4521 + 10.5520i 0.870432 + 0.526285i
\(403\) 2.54623 + 8.52551i 0.126837 + 0.424686i
\(404\) 4.67566 0.232623
\(405\) 8.13223 3.85576i 0.404094 0.191594i
\(406\) −2.17282 −0.107835
\(407\) −0.183382 0.317627i −0.00908991 0.0157442i
\(408\) 9.37666 15.5082i 0.464214 0.767772i
\(409\) 31.3082 + 18.0758i 1.54809 + 0.893792i 0.998287 + 0.0584992i \(0.0186315\pi\)
0.549806 + 0.835293i \(0.314702\pi\)
\(410\) 11.6237 + 6.71092i 0.574051 + 0.331429i
\(411\) −21.1178 0.426942i −1.04166 0.0210595i
\(412\) 1.05976 + 1.83556i 0.0522108 + 0.0904317i
\(413\) 2.29582 0.112970
\(414\) 4.04309 2.12119i 0.198707 0.104251i
\(415\) −4.24559 −0.208408
\(416\) −2.65608 8.89332i −0.130225 0.436031i
\(417\) 5.40708 2.97771i 0.264786 0.145819i
\(418\) −0.577387 0.333355i −0.0282409 0.0163049i
\(419\) 6.59316 11.4197i 0.322097 0.557889i −0.658823 0.752298i \(-0.728946\pi\)
0.980921 + 0.194409i \(0.0622789\pi\)
\(420\) 0.135846 0.0748113i 0.00662863 0.00365042i
\(421\) −31.1530 + 17.9862i −1.51830 + 0.876592i −0.518534 + 0.855057i \(0.673522\pi\)
−0.999768 + 0.0215354i \(0.993145\pi\)
\(422\) 14.8950i 0.725079i
\(423\) 6.80189 + 4.30270i 0.330719 + 0.209205i
\(424\) 30.3397i 1.47343i
\(425\) 1.71295 + 2.96692i 0.0830904 + 0.143917i
\(426\) 0.265254 13.1202i 0.0128516 0.635676i
\(427\) −0.859612 0.496297i −0.0415995 0.0240175i
\(428\) −2.10922 + 3.65328i −0.101953 + 0.176588i
\(429\) 1.14997 + 1.13123i 0.0555209 + 0.0546163i
\(430\) −6.45518 11.1807i −0.311296 0.539181i
\(431\) 33.9269i 1.63420i −0.576495 0.817100i \(-0.695580\pi\)
0.576495 0.817100i \(-0.304420\pi\)
\(432\) 13.2629 6.61997i 0.638110 0.318503i
\(433\) 16.2821 0.782469 0.391234 0.920291i \(-0.372048\pi\)
0.391234 + 0.920291i \(0.372048\pi\)
\(434\) −0.509397 + 0.294101i −0.0244518 + 0.0141173i
\(435\) −8.16940 + 13.5115i −0.391693 + 0.647827i
\(436\) 2.63148 + 1.51928i 0.126025 + 0.0727605i
\(437\) 2.21677 + 1.27985i 0.106042 + 0.0612236i
\(438\) 0.466175 23.0583i 0.0222747 1.10177i
\(439\) −12.3570 21.4029i −0.589767 1.02151i −0.994263 0.106966i \(-0.965886\pi\)
0.404496 0.914540i \(-0.367447\pi\)
\(440\) 0.788885i 0.0376086i
\(441\) −20.8719 0.844286i −0.993899 0.0402041i
\(442\) 14.8873 + 3.53874i 0.708116 + 0.168321i
\(443\) 8.34105 + 14.4471i 0.396295 + 0.686404i 0.993266 0.115860i \(-0.0369623\pi\)
−0.596970 + 0.802263i \(0.703629\pi\)
\(444\) 0.552082 + 1.00250i 0.0262007 + 0.0475766i
\(445\) −1.01768 + 1.76268i −0.0482427 + 0.0835588i
\(446\) −1.88173 + 3.25926i −0.0891027 + 0.154330i
\(447\) 2.05229 + 3.72665i 0.0970698 + 0.176265i
\(448\) 1.48207 0.855673i 0.0700212 0.0404268i
\(449\) 18.0631i 0.852450i 0.904617 + 0.426225i \(0.140157\pi\)
−0.904617 + 0.426225i \(0.859843\pi\)
\(450\) −0.150210 + 3.71338i −0.00708096 + 0.175051i
\(451\) 2.79858 0.131780
\(452\) 0.595540 + 1.03151i 0.0280118 + 0.0485179i
\(453\) 29.8082 + 0.602639i 1.40051 + 0.0283145i
\(454\) 17.6273 30.5314i 0.827290 1.43291i
\(455\) 0.504288 + 0.476401i 0.0236414 + 0.0223340i
\(456\) 9.43169 + 5.70264i 0.441679 + 0.267050i
\(457\) 22.4351 12.9529i 1.04947 0.605913i 0.126971 0.991906i \(-0.459475\pi\)
0.922501 + 0.385994i \(0.126141\pi\)
\(458\) 13.8060 0.645113
\(459\) 1.07888 17.7688i 0.0503579 0.829376i
\(460\) 0.571706i 0.0266559i
\(461\) −35.3545 + 20.4120i −1.64663 + 0.950680i −0.668226 + 0.743959i \(0.732946\pi\)
−0.978400 + 0.206721i \(0.933721\pi\)
\(462\) −0.0551751 + 0.0912552i −0.00256698 + 0.00424557i
\(463\) 11.7259 + 6.76996i 0.544950 + 0.314627i 0.747083 0.664731i \(-0.231454\pi\)
−0.202133 + 0.979358i \(0.564787\pi\)
\(464\) −13.0026 + 22.5212i −0.603632 + 1.04552i
\(465\) −0.0863962 + 4.27340i −0.00400653 + 0.198174i
\(466\) −15.1080 + 8.72259i −0.699863 + 0.404066i
\(467\) −39.0894 −1.80884 −0.904422 0.426640i \(-0.859697\pi\)
−0.904422 + 0.426640i \(0.859697\pi\)
\(468\) −3.51632 3.60175i −0.162542 0.166491i
\(469\) 1.82878 0.0844451
\(470\) −2.87826 + 1.66176i −0.132764 + 0.0766515i
\(471\) −16.2548 + 8.95158i −0.748980 + 0.412467i
\(472\) 18.2209 31.5596i 0.838686 1.45265i
\(473\) −2.33128 1.34597i −0.107193 0.0618876i
\(474\) 6.05310 + 10.9915i 0.278028 + 0.504858i
\(475\) −1.80440 + 1.04177i −0.0827916 + 0.0477998i
\(476\) 0.306748i 0.0140598i
\(477\) 13.8458 + 26.3907i 0.633955 + 1.20835i
\(478\) −14.5811 −0.666924
\(479\) −9.76527 + 5.63798i −0.446186 + 0.257606i −0.706218 0.707994i \(-0.749600\pi\)
0.260032 + 0.965600i \(0.416267\pi\)
\(480\) 0.0901236 4.45777i 0.00411356 0.203468i
\(481\) −3.51568 + 3.72147i −0.160301 + 0.169685i
\(482\) 11.0516 19.1419i 0.503387 0.871891i
\(483\) 0.211834 0.350357i 0.00963880 0.0159418i
\(484\) −2.54394 4.40623i −0.115633 0.200283i
\(485\) −6.60132 −0.299750
\(486\) 11.2937 15.6643i 0.512293 0.710547i
\(487\) 28.5174i 1.29225i −0.763233 0.646123i \(-0.776389\pi\)
0.763233 0.646123i \(-0.223611\pi\)
\(488\) −13.6448 + 7.87781i −0.617669 + 0.356611i
\(489\) 3.43762 5.68553i 0.155454 0.257109i
\(490\) 4.31289 7.47015i 0.194837 0.337467i
\(491\) −10.0886 + 17.4740i −0.455292 + 0.788588i −0.998705 0.0508770i \(-0.983798\pi\)
0.543413 + 0.839465i \(0.317132\pi\)
\(492\) −8.73104 0.176517i −0.393626 0.00795801i
\(493\) 15.6151 + 27.0462i 0.703270 + 1.21810i
\(494\) −2.15217 + 9.05405i −0.0968307 + 0.407361i
\(495\) 0.360014 + 0.686204i 0.0161814 + 0.0308426i
\(496\) 7.03984i 0.316098i
\(497\) −0.588376 1.01910i −0.0263923 0.0457128i
\(498\) −7.97965 + 4.39443i −0.357577 + 0.196919i
\(499\) 9.29046 + 5.36385i 0.415898 + 0.240119i 0.693321 0.720629i \(-0.256147\pi\)
−0.277423 + 0.960748i \(0.589480\pi\)
\(500\) 0.403011 + 0.232678i 0.0180232 + 0.0104057i
\(501\) −10.8777 19.7522i −0.485978 0.882465i
\(502\) −9.71796 + 5.61067i −0.433734 + 0.250416i
\(503\) −20.9283 −0.933149 −0.466574 0.884482i \(-0.654512\pi\)
−0.466574 + 0.884482i \(0.654512\pi\)
\(504\) 0.942430 1.48983i 0.0419792 0.0663624i
\(505\) 10.0475i 0.447107i
\(506\) 0.196558 + 0.340449i 0.00873807 + 0.0151348i
\(507\) 10.5364 19.8993i 0.467939 0.883761i
\(508\) 3.62675 6.28172i 0.160911 0.278706i
\(509\) −17.1362 9.89357i −0.759547 0.438525i 0.0695859 0.997576i \(-0.477832\pi\)
−0.829133 + 0.559051i \(0.811166\pi\)
\(510\) 6.29046 + 3.80337i 0.278546 + 0.168416i
\(511\) −1.03405 1.79103i −0.0457438 0.0792305i
\(512\) 24.7686i 1.09463i
\(513\) 10.8065 + 0.656147i 0.477119 + 0.0289696i
\(514\) 5.89193i 0.259882i
\(515\) −3.94442 + 2.27731i −0.173812 + 0.100350i
\(516\) 7.18826 + 4.34620i 0.316445 + 0.191331i
\(517\) −0.346494 + 0.600145i −0.0152388 + 0.0263944i
\(518\) −0.293097 0.169220i −0.0128779 0.00743508i
\(519\) 0.408610 20.2110i 0.0179360 0.887165i
\(520\) 10.5512 3.15122i 0.462701 0.138190i
\(521\) 2.69918 0.118253 0.0591266 0.998250i \(-0.481168\pi\)
0.0591266 + 0.998250i \(0.481168\pi\)
\(522\) −1.36930 + 33.8509i −0.0599327 + 1.48161i
\(523\) −24.4314 −1.06831 −0.534155 0.845387i \(-0.679370\pi\)
−0.534155 + 0.845387i \(0.679370\pi\)
\(524\) 4.26031 + 7.37907i 0.186112 + 0.322356i
\(525\) 0.160761 + 0.291919i 0.00701620 + 0.0127404i
\(526\) −7.29075 4.20931i −0.317892 0.183535i
\(527\) 7.32163 + 4.22714i 0.318935 + 0.184137i
\(528\) 0.615676 + 1.11798i 0.0267939 + 0.0486537i
\(529\) 10.7454 + 18.6115i 0.467189 + 0.809195i
\(530\) −12.3064 −0.534556
\(531\) 1.44681 35.7671i 0.0627863 1.55216i
\(532\) 0.186556 0.00808822
\(533\) −11.1790 37.4306i −0.484218 1.62130i
\(534\) −0.0882751 + 4.36634i −0.00382004 + 0.188950i
\(535\) −7.85050 4.53249i −0.339407 0.195957i
\(536\) 14.5142 25.1394i 0.626919 1.08586i
\(537\) −31.3180 18.9357i −1.35147 0.817134i
\(538\) −2.08782 + 1.20540i −0.0900122 + 0.0519686i
\(539\) 1.79856i 0.0774695i
\(540\) −1.07989 2.16353i −0.0464712 0.0931035i
\(541\) 16.1042i 0.692375i −0.938165 0.346188i \(-0.887476\pi\)
0.938165 0.346188i \(-0.112524\pi\)
\(542\) −4.73295 8.19771i −0.203298 0.352122i
\(543\) −30.7262 18.5778i −1.31859 0.797251i
\(544\) −7.63751 4.40952i −0.327455 0.189056i
\(545\) −3.26478 + 5.65476i −0.139848 + 0.242223i
\(546\) 1.44092 + 0.373436i 0.0616657 + 0.0159816i
\(547\) −15.0765 26.1133i −0.644625 1.11652i −0.984388 0.176012i \(-0.943680\pi\)
0.339764 0.940511i \(-0.389653\pi\)
\(548\) 5.67494i 0.242422i
\(549\) −8.27365 + 13.0793i −0.353111 + 0.558212i
\(550\) −0.319988 −0.0136443
\(551\) −16.4488 + 9.49671i −0.700742 + 0.404573i
\(552\) −3.13496 5.69263i −0.133433 0.242294i
\(553\) 0.974458 + 0.562604i 0.0414382 + 0.0239243i
\(554\) 11.1998 + 6.46620i 0.475833 + 0.274723i
\(555\) −2.15426 + 1.18636i −0.0914434 + 0.0503584i
\(556\) −0.829232 1.43627i −0.0351673 0.0609115i
\(557\) 10.0629i 0.426380i 0.977011 + 0.213190i \(0.0683853\pi\)
−0.977011 + 0.213190i \(0.931615\pi\)
\(558\) 4.26084 + 8.12136i 0.180376 + 0.343804i
\(559\) −8.68970 + 36.5570i −0.367535 + 1.54620i
\(560\) 0.274442 + 0.475348i 0.0115973 + 0.0200871i
\(561\) 1.53242 + 0.0309812i 0.0646987 + 0.00130803i
\(562\) −18.3423 + 31.7698i −0.773724 + 1.34013i
\(563\) −2.26642 + 3.92556i −0.0955182 + 0.165442i −0.909825 0.414993i \(-0.863784\pi\)
0.814307 + 0.580435i \(0.197117\pi\)
\(564\) 1.11885 1.85048i 0.0471120 0.0779194i
\(565\) −2.21659 + 1.27975i −0.0932527 + 0.0538395i
\(566\) 21.6999i 0.912117i
\(567\) 0.139866 1.72600i 0.00587381 0.0724853i
\(568\) −18.6788 −0.783744
\(569\) −6.23358 10.7969i −0.261325 0.452629i 0.705269 0.708940i \(-0.250826\pi\)
−0.966594 + 0.256311i \(0.917493\pi\)
\(570\) −2.31311 + 3.82569i −0.0968854 + 0.160241i
\(571\) −9.40436 + 16.2888i −0.393560 + 0.681666i −0.992916 0.118816i \(-0.962090\pi\)
0.599356 + 0.800483i \(0.295423\pi\)
\(572\) 0.297625 0.315046i 0.0124443 0.0131727i
\(573\) −0.693656 + 34.3102i −0.0289779 + 1.43333i
\(574\) 2.23647 1.29123i 0.0933484 0.0538947i
\(575\) 1.22853 0.0512334
\(576\) −12.3967 23.6287i −0.516531 0.984531i
\(577\) 27.4658i 1.14342i −0.820457 0.571709i \(-0.806281\pi\)
0.820457 0.571709i \(-0.193719\pi\)
\(578\) −5.64655 + 3.26003i −0.234865 + 0.135600i
\(579\) 9.98735 + 18.1356i 0.415060 + 0.753689i
\(580\) 3.67381 + 2.12108i 0.152547 + 0.0880729i
\(581\) −0.408440 + 0.707438i −0.0169449 + 0.0293495i
\(582\) −12.4073 + 6.83276i −0.514299 + 0.283227i
\(583\) −2.22223 + 1.28300i −0.0920353 + 0.0531366i
\(584\) −32.8273 −1.35840
\(585\) 7.73977 7.55619i 0.320000 0.312410i
\(586\) −3.17034 −0.130966
\(587\) −17.2688 + 9.97015i −0.712760 + 0.411512i −0.812082 0.583543i \(-0.801666\pi\)
0.0993222 + 0.995055i \(0.468333\pi\)
\(588\) −0.113442 + 5.61116i −0.00467827 + 0.231400i
\(589\) −2.57084 + 4.45282i −0.105930 + 0.183475i
\(590\) 12.8012 + 7.39079i 0.527018 + 0.304274i
\(591\) −11.2028 + 18.5285i −0.460821 + 0.762160i
\(592\) −3.50791 + 2.02529i −0.144174 + 0.0832389i
\(593\) 17.3576i 0.712792i −0.934335 0.356396i \(-0.884005\pi\)
0.934335 0.356396i \(-0.115995\pi\)
\(594\) 1.38691 + 0.917095i 0.0569058 + 0.0376289i
\(595\) 0.659167 0.0270232
\(596\) 0.989904 0.571521i 0.0405480 0.0234104i
\(597\) −3.31081 2.00180i −0.135502 0.0819281i
\(598\) 3.76828 3.98886i 0.154097 0.163117i
\(599\) −12.9431 + 22.4181i −0.528841 + 0.915980i 0.470593 + 0.882350i \(0.344040\pi\)
−0.999434 + 0.0336295i \(0.989293\pi\)
\(600\) 5.28878 + 0.106924i 0.215913 + 0.00436517i
\(601\) −22.4572 38.8971i −0.916049 1.58664i −0.805358 0.592789i \(-0.798027\pi\)
−0.110692 0.993855i \(-0.535307\pi\)
\(602\) −2.48404 −0.101242
\(603\) 1.15249 28.4909i 0.0469328 1.16024i
\(604\) 8.01033i 0.325936i
\(605\) 9.46850 5.46664i 0.384949 0.222251i
\(606\) 10.3997 + 18.8844i 0.422460 + 0.767126i
\(607\) −4.26059 + 7.37955i −0.172932 + 0.299527i −0.939444 0.342704i \(-0.888657\pi\)
0.766512 + 0.642230i \(0.221991\pi\)
\(608\) 2.68175 4.64493i 0.108759 0.188377i
\(609\) 1.46549 + 2.66111i 0.0593846 + 0.107834i
\(610\) −3.19540 5.53460i −0.129378 0.224089i
\(611\) 9.41092 + 2.23700i 0.380725 + 0.0904993i
\(612\) −4.77889 0.193311i −0.193175 0.00781412i
\(613\) 20.1449i 0.813645i −0.913507 0.406822i \(-0.866637\pi\)
0.913507 0.406822i \(-0.133363\pi\)
\(614\) −9.94679 17.2284i −0.401420 0.695280i
\(615\) 0.379316 18.7620i 0.0152955 0.756559i
\(616\) 0.131451 + 0.0758934i 0.00529632 + 0.00305783i
\(617\) −7.82388 4.51712i −0.314977 0.181852i 0.334174 0.942511i \(-0.391543\pi\)
−0.649152 + 0.760659i \(0.724876\pi\)
\(618\) −5.05646 + 8.36296i −0.203400 + 0.336408i
\(619\) −9.61491 + 5.55117i −0.386456 + 0.223120i −0.680623 0.732633i \(-0.738291\pi\)
0.294168 + 0.955754i \(0.404958\pi\)
\(620\) 1.14839 0.0461203
\(621\) −5.32480 3.52101i −0.213677 0.141293i
\(622\) 0.230591i 0.00924586i
\(623\) 0.195809 + 0.339151i 0.00784491 + 0.0135878i
\(624\) 12.4934 12.7004i 0.500137 0.508421i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) 7.07263 + 4.08339i 0.282679 + 0.163205i
\(627\) −0.0188419 + 0.931976i −0.000752475 + 0.0372195i
\(628\) 2.49284 + 4.31772i 0.0994750 + 0.172296i
\(629\) 4.86443i 0.193957i
\(630\) 0.604307 + 0.382269i 0.0240762 + 0.0152300i
\(631\) 17.9767i 0.715641i −0.933790 0.357821i \(-0.883520\pi\)
0.933790 0.357821i \(-0.116480\pi\)
\(632\) 15.4677 8.93030i 0.615273 0.355228i
\(633\) −18.2423 + 10.0461i −0.725067 + 0.399298i
\(634\) 14.1702 24.5434i 0.562769 0.974745i
\(635\) 13.4987 + 7.79349i 0.535680 + 0.309275i
\(636\) 7.01384 3.86256i 0.278117 0.153160i
\(637\) −24.0554 + 7.18441i −0.953111 + 0.284657i
\(638\) −2.91699 −0.115485
\(639\) −16.2475 + 8.52422i −0.642743 + 0.337213i
\(640\) 5.87004 0.232034
\(641\) 5.36473 + 9.29198i 0.211894 + 0.367011i 0.952307 0.305141i \(-0.0987035\pi\)
−0.740413 + 0.672152i \(0.765370\pi\)
\(642\) −19.4466 0.393155i −0.767494 0.0155166i
\(643\) 27.3665 + 15.8000i 1.07923 + 0.623093i 0.930688 0.365813i \(-0.119209\pi\)
0.148540 + 0.988906i \(0.452542\pi\)
\(644\) −0.0952629 0.0550000i −0.00375388 0.00216731i
\(645\) −9.33951 + 15.4468i −0.367743 + 0.608216i
\(646\) 4.42132 + 7.65794i 0.173954 + 0.301298i
\(647\) 44.0698 1.73256 0.866281 0.499557i \(-0.166504\pi\)
0.866281 + 0.499557i \(0.166504\pi\)
\(648\) −22.6165 15.6212i −0.888462 0.613660i
\(649\) 3.08210 0.120983
\(650\) 1.27820 + 4.27979i 0.0501352 + 0.167867i
\(651\) 0.703762 + 0.425512i 0.0275826 + 0.0166771i
\(652\) −1.54591 0.892532i −0.0605425 0.0349542i
\(653\) 11.8303 20.4907i 0.462955 0.801862i −0.536152 0.844122i \(-0.680122\pi\)
0.999107 + 0.0422600i \(0.0134558\pi\)
\(654\) −0.283191 + 14.0074i −0.0110737 + 0.547734i
\(655\) −15.8568 + 9.15493i −0.619577 + 0.357713i
\(656\) 30.9079i 1.20675i
\(657\) −28.5545 + 14.9810i −1.11402 + 0.584466i
\(658\) 0.639469i 0.0249291i
\(659\) 21.9758 + 38.0632i 0.856056 + 1.48273i 0.875662 + 0.482924i \(0.160425\pi\)
−0.0196062 + 0.999808i \(0.506241\pi\)
\(660\) 0.182372 0.100433i 0.00709882 0.00390936i
\(661\) −2.05866 1.18857i −0.0800724 0.0462298i 0.459429 0.888214i \(-0.348054\pi\)
−0.539502 + 0.841985i \(0.681387\pi\)
\(662\) 8.48860 14.7027i 0.329919 0.571436i
\(663\) −5.70692 20.6196i −0.221638 0.800798i
\(664\) 6.48323 + 11.2293i 0.251598 + 0.435781i
\(665\) 0.400888i 0.0155458i
\(666\) −2.82102 + 4.45958i −0.109312 + 0.172805i
\(667\) 11.1992 0.433635
\(668\) −5.24675 + 3.02921i −0.203003 + 0.117204i
\(669\) 5.26086 + 0.106360i 0.203396 + 0.00411211i
\(670\) 10.1971 + 5.88728i 0.393947 + 0.227445i
\(671\) −1.15402 0.666272i −0.0445504 0.0257212i
\(672\) −0.734124 0.443870i −0.0283194 0.0171226i
\(673\) −13.5914 23.5410i −0.523909 0.907437i −0.999613 0.0278317i \(-0.991140\pi\)
0.475703 0.879606i \(-0.342194\pi\)
\(674\) 29.8409i 1.14943i
\(675\) 4.64919 2.32057i 0.178947 0.0893189i
\(676\) −5.40256 2.72221i −0.207791 0.104701i
\(677\) −13.8683 24.0207i −0.533004 0.923190i −0.999257 0.0385383i \(-0.987730\pi\)
0.466253 0.884651i \(-0.345604\pi\)
\(678\) −2.84150 + 4.69961i −0.109127 + 0.180488i
\(679\) −0.635069 + 1.09997i −0.0243717 + 0.0422130i
\(680\) 5.23153 9.06127i 0.200620 0.347484i
\(681\) −49.2815 0.996333i −1.88847 0.0381796i
\(682\) −0.683859 + 0.394826i −0.0261863 + 0.0151187i
\(683\) 20.2386i 0.774409i −0.921994 0.387204i \(-0.873441\pi\)
0.921994 0.387204i \(-0.126559\pi\)
\(684\) 0.117566 2.90640i 0.00449526 0.111129i
\(685\) −12.1948 −0.465941
\(686\) −1.66407 2.88226i −0.0635345 0.110045i
\(687\) −9.31164 16.9086i −0.355261 0.645102i
\(688\) −14.8650 + 25.7469i −0.566723 + 0.981593i
\(689\) 26.0367 + 24.5969i 0.991919 + 0.937068i
\(690\) 2.30905 1.27161i 0.0879040 0.0484092i
\(691\) 34.4122 19.8679i 1.30910 0.755810i 0.327155 0.944971i \(-0.393910\pi\)
0.981946 + 0.189161i \(0.0605769\pi\)
\(692\) −5.43128 −0.206466
\(693\) 0.148976 + 0.00602622i 0.00565913 + 0.000228917i
\(694\) 6.46170i 0.245283i
\(695\) 3.08639 1.78193i 0.117074 0.0675924i
\(696\) 48.2121 + 0.974713i 1.82747 + 0.0369464i
\(697\) −32.1451 18.5590i −1.21758 0.702970i
\(698\) 9.70879 16.8161i 0.367483 0.636499i
\(699\) 20.8725 + 12.6200i 0.789471 + 0.477334i
\(700\) 0.0775419 0.0447689i 0.00293081 0.00169210i
\(701\) −10.9673 −0.414230 −0.207115 0.978317i \(-0.566407\pi\)
−0.207115 + 0.978317i \(0.566407\pi\)
\(702\) 6.72591 22.2131i 0.253853 0.838380i
\(703\) −2.95842 −0.111579
\(704\) 1.98966 1.14873i 0.0749881 0.0432944i
\(705\) 3.97648 + 2.40428i 0.149763 + 0.0905505i
\(706\) −7.71763 + 13.3673i −0.290457 + 0.503086i
\(707\) 1.67420 + 0.966600i 0.0629648 + 0.0363527i
\(708\) −9.61557 0.194400i −0.361375 0.00730599i
\(709\) 27.4273 15.8352i 1.03005 0.594702i 0.113054 0.993589i \(-0.463937\pi\)
0.917000 + 0.398887i \(0.130603\pi\)
\(710\) 7.57650i 0.284341i
\(711\) 9.37903 14.8268i 0.351741 0.556047i
\(712\) 6.21620 0.232962
\(713\) 2.62555 1.51586i 0.0983275 0.0567694i
\(714\) 1.23891 0.682277i 0.0463652 0.0255336i
\(715\) 0.677000 + 0.639562i 0.0253183 + 0.0239183i
\(716\) −4.91640 + 8.51545i −0.183734 + 0.318237i
\(717\) 9.83441 + 17.8579i 0.367273 + 0.666914i
\(718\) 14.7167 + 25.4902i 0.549224 + 0.951284i
\(719\) 24.7245 0.922069 0.461035 0.887382i \(-0.347478\pi\)
0.461035 + 0.887382i \(0.347478\pi\)
\(720\) 7.57851 3.97604i 0.282434 0.148178i
\(721\) 0.876341i 0.0326366i
\(722\) 15.7266 9.07974i 0.585282 0.337913i
\(723\) −30.8975 0.624661i −1.14909 0.0232314i
\(724\) −4.82349 + 8.35453i −0.179264 + 0.310494i
\(725\) −4.55796 + 7.89462i −0.169278 + 0.293199i
\(726\) 12.1379 20.0751i 0.450480 0.745057i
\(727\) 9.65864 + 16.7293i 0.358219 + 0.620454i 0.987663 0.156592i \(-0.0500508\pi\)
−0.629444 + 0.777046i \(0.716717\pi\)
\(728\) 0.489975 2.06129i 0.0181597 0.0763967i
\(729\) −26.8017 3.26672i −0.992654 0.120990i
\(730\) 13.3154i 0.492827i
\(731\) 17.8517 + 30.9201i 0.660269 + 1.14362i
\(732\) 3.55829 + 2.15143i 0.131518 + 0.0795191i
\(733\) −44.6826 25.7975i −1.65039 0.952853i −0.976911 0.213646i \(-0.931466\pi\)
−0.673479 0.739207i \(-0.735201\pi\)
\(734\) −12.1996 7.04343i −0.450295 0.259978i
\(735\) −12.0578 0.243774i −0.444758 0.00899175i
\(736\) −2.73882 + 1.58126i −0.100954 + 0.0582860i
\(737\) 2.45511 0.0904351
\(738\) −18.7069 35.6562i −0.688610 1.31252i
\(739\) 2.05130i 0.0754582i −0.999288 0.0377291i \(-0.987988\pi\)
0.999288 0.0377291i \(-0.0120124\pi\)
\(740\) 0.330379 + 0.572233i 0.0121450 + 0.0210357i
\(741\) 12.5403 3.47080i 0.460679 0.127503i
\(742\) −1.18392 + 2.05061i −0.0434630 + 0.0752801i
\(743\) −5.19628 3.00008i −0.190633 0.110062i 0.401646 0.915795i \(-0.368438\pi\)
−0.592279 + 0.805733i \(0.701772\pi\)
\(744\) 11.4348 6.29719i 0.419219 0.230866i
\(745\) 1.22814 + 2.12719i 0.0449954 + 0.0779344i
\(746\) 10.1346i 0.371054i
\(747\) 10.7640 + 6.80900i 0.393832 + 0.249128i
\(748\) 0.411805i 0.0150571i
\(749\) −1.51049 + 0.872082i −0.0551921 + 0.0318652i
\(750\) −0.0433707 + 2.14524i −0.00158367 + 0.0783330i
\(751\) −7.16922 + 12.4175i −0.261609 + 0.453119i −0.966670 0.256027i \(-0.917586\pi\)
0.705061 + 0.709147i \(0.250920\pi\)
\(752\) 6.62807 + 3.82672i 0.241701 + 0.139546i
\(753\) 13.4259 + 8.11765i 0.489268 + 0.295823i
\(754\) 11.6520 + 39.0142i 0.424340 + 1.42081i
\(755\) 17.2133 0.626457
\(756\) −0.464396 0.0281971i −0.0168899 0.00102552i
\(757\) 35.5542 1.29224 0.646120 0.763236i \(-0.276391\pi\)
0.646120 + 0.763236i \(0.276391\pi\)
\(758\) 8.45987 + 14.6529i 0.307276 + 0.532218i
\(759\) 0.284385 0.470349i 0.0103225 0.0170726i
\(760\) 5.51083 + 3.18168i 0.199899 + 0.115412i
\(761\) 12.6192 + 7.28568i 0.457445 + 0.264106i 0.710969 0.703223i \(-0.248257\pi\)
−0.253525 + 0.967329i \(0.581590\pi\)
\(762\) 33.4378 + 0.676018i 1.21132 + 0.0244896i
\(763\) 0.628165 + 1.08801i 0.0227411 + 0.0393887i
\(764\) 9.22013 0.333573
\(765\) 0.415403 10.2693i 0.0150189 0.371288i
\(766\) −23.9366 −0.864866
\(767\) −12.3116 41.2226i −0.444545 1.48846i
\(768\) −15.9564 + 8.78726i −0.575776 + 0.317083i
\(769\) 42.0809 + 24.2954i 1.51748 + 0.876116i 0.999789 + 0.0205458i \(0.00654040\pi\)
0.517688 + 0.855570i \(0.326793\pi\)
\(770\) −0.0307839 + 0.0533193i −0.00110938 + 0.00192149i
\(771\) 7.21599 3.97388i 0.259878 0.143116i
\(772\) 4.81732 2.78128i 0.173379 0.100100i
\(773\) 37.9417i 1.36467i −0.731040 0.682334i \(-0.760965\pi\)
0.731040 0.682334i \(-0.239035\pi\)
\(774\) −1.56543 + 38.6994i