Properties

Label 585.2.bt.b.376.18
Level $585$
Weight $2$
Character 585.376
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 376.18
Character \(\chi\) \(=\) 585.376
Dual form 585.2.bt.b.571.18

$q$-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} +(-3.45476 + 1.03180i) 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} +(4.19594 - 4.62537i) 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} +(1.21967 + 1.15223i) 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} +(-2.47601 + 2.62095i) 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} +(-7.36654 + 2.36329i) 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 \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(-1\)

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 \(-0.477641\pi\)
−0.828797 + 0.559549i \(0.810974\pi\)
\(3\) −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 \(-0.321757\pi\)
−0.468179 + 0.883633i \(0.655090\pi\)
\(8\) 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 \(-0.320935\pi\)
−0.465897 + 0.884839i \(0.654268\pi\)
\(12\) 0.706038 + 0.388819i 0.203816 + 0.112242i
\(13\) −3.45476 + 1.03180i −0.958179 + 0.286170i
\(14\) −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 0.922934 0.384958i \(-0.125784\pi\)
−0.794851 + 0.606805i \(0.792451\pi\)
\(24\) −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 −0.0380149 0.999277i \(-0.512103\pi\)
0.884407 0.466717i \(-0.154563\pi\)
\(30\) 1.83615 1.11018i 0.335233 0.202690i
\(31\) −2.13714 + 1.23388i −0.383841 + 0.221611i −0.679488 0.733686i \(-0.737798\pi\)
0.295647 + 0.955297i \(0.404465\pi\)
\(32\) 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
\(39\) 4.19594 4.62537i 0.671889 0.740652i
\(40\) 1.52705 + 2.64493i 0.241448 + 0.418200i
\(41\) 9.38294 5.41724i 1.46537 0.846031i 0.466118 0.884723i \(-0.345652\pi\)
0.999251 + 0.0386914i \(0.0123189\pi\)
\(42\) 0.361632 + 0.199152i 0.0558010 + 0.0307299i
\(43\) 5.21080 9.02537i 0.794640 1.37636i −0.128428 0.991719i \(-0.540993\pi\)
0.923068 0.384637i \(-0.125674\pi\)
\(44\) 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 \(-0.396020\pi\)
−0.659788 + 0.751452i \(0.729354\pi\)
\(48\) 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
\(52\) 1.21967 + 1.15223i 0.169138 + 0.159785i
\(53\) 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 \(-0.383552\pi\)
0.987581 + 0.157112i \(0.0502184\pi\)
\(60\) 0.805857 0.0162922i 0.104036 0.00210331i
\(61\) 2.57942 4.46768i 0.330261 0.572028i −0.652302 0.757959i \(-0.726197\pi\)
0.982563 + 0.185931i \(0.0595300\pi\)
\(62\) 3.05707 0.388249
\(63\) 0.487814 0.308579i 0.0614588 0.0388772i
\(64\) −8.89442 −1.11180
\(65\) −2.47601 + 2.62095i −0.307112 + 0.325088i
\(66\) 0.485486 + 0.267359i 0.0597591 + 0.0329097i
\(67\) 8.23135 4.75237i 1.00562 0.580595i 0.0957136 0.995409i \(-0.469487\pi\)
0.909906 + 0.414814i \(0.136153\pi\)
\(68\) −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
\(78\) −7.36654 + 2.36329i −0.834097 + 0.267590i
\(79\) −2.92403 + 5.06458i −0.328980 + 0.569809i −0.982310 0.187264i \(-0.940038\pi\)
0.653330 + 0.757073i \(0.273371\pi\)
\(80\) 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 \(-0.408190\pi\)
−0.688027 + 0.725685i \(0.741523\pi\)
\(84\) 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 \(-0.442114\pi\)
−0.761318 + 0.648379i \(0.775447\pi\)
\(98\) 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 −1.00000 0.000138125i \(-0.999956\pi\)
0.500120 + 0.865956i \(0.333289\pi\)
\(102\) 7.34938 0.148584i 0.727697 0.0147120i
\(103\) 2.27731 + 3.94442i 0.224390 + 0.388656i 0.956136 0.292922i \(-0.0946276\pi\)
−0.731746 + 0.681578i \(0.761294\pi\)
\(104\) −3.15122 10.5512i −0.309003 1.03463i
\(105\) −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 0.919921 0.392104i \(-0.128253\pi\)
−0.799532 + 0.600623i \(0.794919\pi\)
\(114\) 0.0903648 + 4.46970i 0.00846344 + 0.418626i
\(115\) 1.06394 + 0.614267i 0.0992130 + 0.0572807i
\(116\) −4.24215 −0.393874
\(117\) −2.07407 + 10.6159i −0.191748 + 0.981444i
\(118\) −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
\(130\) 4.27979 1.27820i 0.375362 0.112106i
\(131\) 9.15493 + 15.8568i 0.799870 + 1.38542i 0.919700 + 0.392621i \(0.128432\pi\)
−0.119830 + 0.992794i \(0.538235\pi\)
\(132\) 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 \(-0.507751\pi\)
−0.877942 + 0.478766i \(0.841084\pi\)
\(138\) 1.36389 + 2.25577i 0.116102 + 0.192024i
\(139\) −1.78193 3.08639i −0.151141 0.261784i 0.780506 0.625148i \(-0.214961\pi\)
−0.931647 + 0.363364i \(0.881628\pi\)
\(140\) −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 \(-0.634586\pi\)
0.584596 + 0.811324i \(0.301253\pi\)
\(150\) 1.03506 1.87952i 0.0845122 0.153462i
\(151\) 14.9072 + 8.60666i 1.21313 + 0.700400i 0.963439 0.267926i \(-0.0863384\pi\)
0.249689 + 0.968326i \(0.419672\pi\)
\(152\) −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
\(156\) −2.84038 0.614786i −0.227412 0.0492223i
\(157\) 5.35683 + 9.27831i 0.427522 + 0.740489i 0.996652 0.0817578i \(-0.0260534\pi\)
−0.569130 + 0.822247i \(0.692720\pi\)
\(158\) 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 \(-0.834701\pi\)
−0.00429595 + 0.999991i \(0.501367\pi\)
\(168\) −0.0205729 1.01760i −0.00158724 0.0785093i
\(169\) 10.8708 7.12925i 0.836213 0.548404i
\(170\) −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 −0.554286 0.832327i \(-0.687008\pi\)
0.997959 + 0.0638622i \(0.0203418\pi\)
\(174\) 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 \(0.220039\pi\)
\(182\) 0.624715 + 0.590169i 0.0463070 + 0.0437463i
\(183\) 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 0.245446 + 0.969410i \(0.421066\pi\)
−0.962257 + 0.272143i \(0.912268\pi\)
\(192\) 13.1832 7.97090i 0.951416 0.575250i
\(193\) 10.3519 5.97666i 0.745145 0.430210i −0.0787920 0.996891i \(-0.525106\pi\)
0.823937 + 0.566681i \(0.191773\pi\)
\(194\) 4.08888 + 7.08215i 0.293565 + 0.508469i
\(195\) 1.32111 6.10366i 0.0946065 0.437092i
\(196\) −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 0.995309 0.0967433i \(-0.0308426\pi\)
−0.581437 + 0.813592i \(0.697509\pi\)
\(212\) −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
\(221\) −11.8357 + 3.53485i −0.796154 + 0.237780i
\(222\) 0.0615819 + 3.04602i 0.00413311 + 0.204435i
\(223\) 2.63097 + 1.51899i 0.176182 + 0.101719i 0.585498 0.810674i \(-0.300899\pi\)
−0.409315 + 0.912393i \(0.634232\pi\)
\(224\) 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 −0.982258 0.187535i \(-0.939950\pi\)
−0.653539 0.756893i \(-0.726717\pi\)
\(228\) −0.810121 + 1.47106i −0.0536516 + 0.0974235i
\(229\) −9.65151 + 5.57230i −0.637790 + 0.368228i −0.783763 0.621061i \(-0.786702\pi\)
0.145973 + 0.989289i \(0.453369\pi\)
\(230\) −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 \(0.652609\pi\)
\(234\) 8.80069 10.1045i 0.575319 0.660552i
\(235\) −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 \(-0.542357\pi\)
0.792031 + 0.610481i \(0.209024\pi\)
\(240\) 2.55653 + 4.22828i 0.165023 + 0.272935i
\(241\) −15.4519 8.92116i −0.995345 0.574663i −0.0884771 0.996078i \(-0.528200\pi\)
−0.906868 + 0.421416i \(0.861533\pi\)
\(242\) 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
\(247\) −2.14980 7.19815i −0.136789 0.458007i
\(248\) −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 0.782274 0.622934i \(-0.214060\pi\)
−0.930614 + 0.366002i \(0.880726\pi\)
\(258\) 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 −0.951564 0.307451i \(-0.900524\pi\)
0.742042 + 0.670353i \(0.233857\pi\)
\(264\) −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
\(273\) 1.14414 0.367058i 0.0692466 0.0222153i
\(274\) 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 −0.665522 0.746378i \(-0.731791\pi\)
0.979143 + 0.203170i \(0.0651244\pi\)
\(278\) 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 0.999366 + 0.0356022i \(0.0113349\pi\)
0.530515 + 0.847675i \(0.321998\pi\)
\(282\) −5.04245 2.77690i −0.300274 0.165362i
\(283\) 8.75840 + 15.1700i 0.520633 + 0.901763i 0.999712 + 0.0239910i \(0.00763730\pi\)
−0.479079 + 0.877772i \(0.659029\pi\)
\(284\) 2.46480 1.42305i 0.146259 0.0844426i
\(285\) −3.16115 1.74086i −0.187250 0.103120i
\(286\) 0.838672 + 0.792294i 0.0495917 + 0.0468494i
\(287\) 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 \(-0.642849\pi\)
0.563340 + 0.826225i \(0.309516\pi\)
\(294\) −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
\(299\) −3.21992 3.04186i −0.186213 0.175916i
\(300\) 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 0.868652 0.495423i \(-0.164987\pi\)
−0.863375 + 0.504563i \(0.831653\pi\)
\(312\) 14.1264 + 12.8148i 0.799747 + 0.725497i
\(313\) 3.29622 5.70923i 0.186314 0.322705i −0.757705 0.652598i \(-0.773679\pi\)
0.944018 + 0.329893i \(0.107013\pi\)
\(314\) 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 \(-0.555417\pi\)
−0.939543 + 0.342430i \(0.888750\pi\)
\(318\) 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 \(-0.456252\pi\)
−0.789355 + 0.613937i \(0.789585\pi\)
\(332\) 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 −0.981619 0.190850i \(-0.938876\pi\)
0.325529 0.945532i \(-0.394458\pi\)
\(338\) −16.0785 + 0.915142i −0.874554 + 0.0497772i
\(339\) −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 0.927499 0.373826i \(-0.121954\pi\)
−0.787492 + 0.616325i \(0.788621\pi\)
\(348\) 6.28767 3.80168i 0.337055 0.203792i
\(349\) −13.5744 7.83721i −0.726623 0.419516i 0.0905623 0.995891i \(-0.471134\pi\)
−0.817186 + 0.576375i \(0.804467\pi\)
\(350\) −0.238355 −0.0127406
\(351\) −6.43951 17.5935i −0.343716 0.939074i
\(352\) 0.664930 0.0354409
\(353\) 10.7905 + 6.22989i 0.574319 + 0.331583i 0.758873 0.651239i \(-0.225751\pi\)
−0.184553 + 0.982822i \(0.559084\pi\)
\(354\) 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
\(364\) 0.0923851 + 0.309332i 0.00484229 + 0.0162134i
\(365\) 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 −0.975399 0.220445i \(-0.929249\pi\)
0.678611 + 0.734498i \(0.262582\pi\)
\(368\) 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 0.952277 0.305236i \(-0.0987353\pi\)
−0.740480 + 0.672078i \(0.765402\pi\)
\(374\) −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 \(-0.502325\pi\)
0.862351 + 0.506311i \(0.168991\pi\)
\(384\) −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 −0.998141 0.0609502i \(-0.980587\pi\)
0.551855 + 0.833940i \(0.313920\pi\)
\(390\) −5.19796 + 5.72994i −0.263209 + 0.290147i
\(391\) 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 \(-0.744216\pi\)
0.276327 + 0.961064i \(0.410883\pi\)
\(402\) 17.4521 10.5520i 0.870432 0.526285i
\(403\) 6.11019 6.46785i 0.304370 0.322187i
\(404\) 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 −0.549806 + 0.835293i \(0.685298\pi\)
−0.998287 + 0.0584992i \(0.981368\pi\)
\(410\) −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
\(416\) −6.37380 + 6.74690i −0.312501 + 0.330794i
\(417\) 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 0.980921 0.194409i \(-0.0622789\pi\)
−0.658823 + 0.752298i \(0.728946\pi\)
\(420\) 0.135846 + 0.0748113i 0.00662863 + 0.00365042i
\(421\) 31.1530 + 17.9862i 1.51830 + 0.876592i 0.999768 + 0.0215354i \(0.00685548\pi\)
0.518534 + 0.855057i \(0.326478\pi\)
\(422\) 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
\(429\) 1.53600 0.492770i 0.0741586 0.0237912i
\(430\) −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 0.404496 + 0.914540i \(0.367447\pi\)
−0.994263 + 0.106966i \(0.965886\pi\)
\(440\) 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 −0.596970 0.802263i \(-0.703629\pi\)
0.993266 + 0.115860i \(0.0369623\pi\)
\(444\) −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
\(455\) −0.664719 + 0.198525i −0.0311625 + 0.00930701i
\(456\) 9.43169 5.70264i 0.441679 0.267050i
\(457\) −22.4351 12.9529i −1.04947 0.605913i −0.126971 0.991906i \(-0.540525\pi\)
−0.922501 + 0.385994i \(0.873859\pi\)
\(458\) 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 0.978400 + 0.206721i \(0.0662792\pi\)
0.668226 + 0.743959i \(0.267054\pi\)
\(462\) 0.0551751 + 0.0912552i 0.00256698 + 0.00424557i
\(463\) −11.7259 + 6.76996i −0.544950 + 0.314627i −0.747083 0.664731i \(-0.768546\pi\)
0.202133 + 0.979358i \(0.435213\pi\)
\(464\) −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 \(0.859697\pi\)
\(468\) 4.76093 1.63423i 0.220074 0.0755422i
\(469\) 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 \(-0.250400\pi\)
−0.260032 + 0.965600i \(0.583733\pi\)
\(480\) 0.0901236 + 4.45777i 0.00411356 + 0.203468i
\(481\) −1.46505 4.90541i −0.0668005 0.223667i
\(482\) 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 0.543413 0.839465i \(-0.317132\pi\)
−0.998705 + 0.0508770i \(0.983798\pi\)
\(492\) 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 \(-0.743853\pi\)
0.277423 + 0.960748i \(0.410520\pi\)
\(500\) −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
\(507\) −9.72353 + 20.3089i −0.431837 + 0.901952i
\(508\) 3.62675 + 6.28172i 0.160911 + 0.278706i
\(509\) 17.1362 9.89357i 0.759547 0.438525i −0.0695859 0.997576i \(-0.522168\pi\)
0.829133 + 0.559051i \(0.188834\pi\)
\(510\) 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
\(520\) −8.00464 7.56199i −0.351027 0.331615i
\(521\) 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
\(533\) −26.8263 + 28.3966i −1.16198 + 1.22999i
\(534\) −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
\(546\) −1.45484 0.314892i −0.0622613 0.0134761i
\(547\) −15.0765 + 26.1133i −0.644625 + 1.11652i 0.339764 + 0.940511i \(0.389653\pi\)
−0.984388 + 0.176012i \(0.943680\pi\)
\(548\) 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 0.814307 0.580435i \(-0.197117\pi\)
−0.909825 + 0.414993i \(0.863784\pi\)
\(564\) −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 −0.966594 0.256311i \(-0.917493\pi\)
0.705269 + 0.708940i \(0.250826\pi\)
\(570\) 2.31311 + 3.82569i 0.0968854 + 0.160241i
\(571\) −9.40436 16.2888i −0.393560 0.681666i 0.599356 0.800483i \(-0.295423\pi\)
−0.992916 + 0.118816i \(0.962090\pi\)
\(572\) 0.124026 + 0.415273i 0.00518578 + 0.0173635i
\(573\) −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
\(585\) 3.51178 + 10.2307i 0.145194 + 0.422988i
\(586\) −3.17034 −0.130966
\(587\) 17.2688 + 9.97015i 0.712760 + 0.411512i 0.812082 0.583543i \(-0.198334\pi\)
−0.0993222 + 0.995055i \(0.531667\pi\)
\(588\) −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
\(598\) 1.57031 + 5.25786i 0.0642149 + 0.215010i
\(599\) −12.9431 22.4181i −0.528841 0.915980i −0.999434 0.0336295i \(-0.989293\pi\)
0.470593 0.882350i \(-0.344040\pi\)
\(600\) −5.28878 + 0.106924i −0.215913 + 0.00436517i
\(601\) −22.4572 + 38.8971i −0.916049 + 1.58664i −0.110692 + 0.993855i \(0.535307\pi\)
−0.805358 + 0.592789i \(0.798027\pi\)
\(602\) −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 0.766512 0.642230i \(-0.221991\pi\)
−0.939444 + 0.342704i \(0.888657\pi\)
\(608\) 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 \(-0.608457\pi\)
0.649152 + 0.760659i \(0.275124\pi\)
\(618\) 5.05646 + 8.36296i 0.203400 + 0.336408i
\(619\) 9.61491 + 5.55117i 0.386456 + 0.223120i 0.680623 0.732633i \(-0.261709\pi\)
−0.294168 + 0.955754i \(0.595042\pi\)
\(620\) 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
\(624\) −5.44220 16.9637i −0.217863 0.679092i
\(625\) −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
\(637\) 18.2496 + 17.2404i 0.723076 + 0.683090i
\(638\) −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 −0.740413 0.672152i \(-0.765370\pi\)
0.952307 + 0.305141i \(0.0987035\pi\)
\(642\) 19.4466 0.393155i 0.767494 0.0155166i
\(643\) −27.3665 + 15.8000i −1.07923 + 0.623093i −0.930688 0.365813i \(-0.880791\pi\)
−0.148540 + 0.988906i \(0.547458\pi\)
\(644\) 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
\(650\) 3.06730 3.24685i 0.120309 0.127352i
\(651\) 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 0.999107 0.0422600i \(-0.0134558\pi\)
−0.536152 + 0.844122i \(0.680122\pi\)
\(654\) −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 −0.0196062 0.999808i \(-0.506241\pi\)
0.875662 0.482924i \(-0.160425\pi\)
\(660\) 0.182372 + 0.100433i 0.00709882 + 0.00390936i
\(661\) 2.05866 1.18857i 0.0800724 0.0462298i −0.459429 0.888214i \(-0.651946\pi\)
0.539502 + 0.841985i \(0.318613\pi\)
\(662\) 8.48860 + 14.7027i 0.329919 + 0.571436i
\(663\) 14.3749 15.8461i 0.558275 0.615411i
\(664\) 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 0.475703 + 0.879606i \(0.342194\pi\)
−0.999613 + 0.0278317i \(0.991140\pi\)
\(674\) 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 0.466253 + 0.884651i \(0.345604\pi\)
−0.999257 + 0.0385383i \(0.987730\pi\)
\(678\) 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
\(689\) −34.3199 + 10.2500i −1.30748 + 0.390494i
\(690\) 2.30905 + 1.27161i 0.0879040 + 0.0484092i
\(691\) −34.4122 19.8679i −1.30910 0.755810i −0.327155 0.944971i \(-0.606090\pi\)
−0.981946 + 0.189161i \(0.939423\pi\)
\(692\) −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 \(0.566407\pi\)
\(702\) −3.98895 + 22.8637i −0.150553 + 0.862934i
\(703\) −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 \(-0.536063\pi\)
−0.917000 + 0.398887i \(0.869397\pi\)
\(710\) 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
\(715\) −0.892377 + 0.266518i −0.0333730 + 0.00996719i
\(716\) −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 −0.629444 0.777046i \(-0.716717\pi\)
0.987663 + 0.156592i \(0.0500508\pi\)
\(728\) 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 0.673479 0.739207i \(-0.264799\pi\)
0.976911 0.213646i \(-0.0685341\pi\)
\(734\) 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
\(741\) 9.63717 + 8.74243i 0.354030 + 0.321161i
\(742\) −1.18392 2.05061i −0.0434630 0.0752801i
\(743\) 5.19628 3.00008i 0.190633 0.110062i −0.401646 0.915795i \(-0.631562\pi\)
0.592279 + 0.805733i \(0.298228\pi\)
\(744\) 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 0.705061 0.709147i \(-0.250920\pi\)
−0.966670 + 0.256027i \(0.917586\pi\)
\(752\) −6.62807 + 3.82672i −0.241701 + 0.139546i
\(753\) 13.4259 8.11765i 0.489268 0.295823i
\(754\) 27.9613 29.5980i 1.01829 1.07790i
\(755\) 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 \(-0.751743\pi\)
0.253525 + 0.967329i \(0.418410\pi\)
\(762\) −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
\(767\) −29.5440 + 31.2734i −1.06677 + 1.12922i
\(768\) −15.9564 8.78726i −0.575776 0.317083i
\(769\) −42.0809 + 24.2954i −1.51748 + 0.876116i −0.517688 + 0.855570i \(0.673207\pi\)
−0.999789 + 0.0205458i \(0.993460\pi\)
\(770\) −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