Properties

Label 546.2.u.a.425.9
Level $546$
Weight $2$
Character 546.425
Analytic conductor $4.360$
Analytic rank $0$
Dimension $76$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.u (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(76\)
Relative dimension: \(38\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 425.9
Character \(\chi\) \(=\) 546.425
Dual form 546.2.u.a.185.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 + 0.500000i) q^{2} +(-0.219501 + 1.71809i) q^{3} +(0.500000 - 0.866025i) q^{4} +(0.356048 - 0.616693i) q^{5} +(-0.668950 - 1.59766i) q^{6} +(-2.23074 + 1.42260i) q^{7} +1.00000i q^{8} +(-2.90364 - 0.754242i) q^{9} +O(q^{10})\) \(q+(-0.866025 + 0.500000i) q^{2} +(-0.219501 + 1.71809i) q^{3} +(0.500000 - 0.866025i) q^{4} +(0.356048 - 0.616693i) q^{5} +(-0.668950 - 1.59766i) q^{6} +(-2.23074 + 1.42260i) q^{7} +1.00000i q^{8} +(-2.90364 - 0.754242i) q^{9} +0.712096i q^{10} -5.62302i q^{11} +(1.37816 + 1.04914i) q^{12} +(-3.20052 + 1.66032i) q^{13} +(1.22057 - 2.34738i) q^{14} +(0.981379 + 0.747085i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(0.965215 - 1.67180i) q^{17} +(2.89175 - 0.798626i) q^{18} -5.54996i q^{19} +(-0.356048 - 0.616693i) q^{20} +(-1.95451 - 4.14486i) q^{21} +(2.81151 + 4.86968i) q^{22} +(-6.23701 + 3.60094i) q^{23} +(-1.71809 - 0.219501i) q^{24} +(2.24646 + 3.89098i) q^{25} +(1.94157 - 3.03814i) q^{26} +(1.93320 - 4.82314i) q^{27} +(0.116641 + 2.64318i) q^{28} +(-7.73245 - 4.46433i) q^{29} +(-1.22344 - 0.156306i) q^{30} +(0.0986994 - 0.0569841i) q^{31} +(0.866025 + 0.500000i) q^{32} +(9.66083 + 1.23426i) q^{33} +1.93043i q^{34} +(0.0830599 + 1.88220i) q^{35} +(-2.10501 + 2.13750i) q^{36} +(2.54313 + 4.40483i) q^{37} +(2.77498 + 4.80641i) q^{38} +(-2.15006 - 5.86321i) q^{39} +(0.616693 + 0.356048i) q^{40} +(1.05781 - 1.83218i) q^{41} +(3.76508 + 2.61230i) q^{42} +(-4.02736 - 6.97559i) q^{43} +(-4.86968 - 2.81151i) q^{44} +(-1.49897 + 1.52211i) q^{45} +(3.60094 - 6.23701i) q^{46} +(2.78358 - 4.82130i) q^{47} +(1.59766 - 0.668950i) q^{48} +(2.95240 - 6.34692i) q^{49} +(-3.89098 - 2.24646i) q^{50} +(2.66043 + 2.02528i) q^{51} +(-0.162381 + 3.60189i) q^{52} +(1.94065 - 1.12043i) q^{53} +(0.737369 + 5.14357i) q^{54} +(-3.46768 - 2.00206i) q^{55} +(-1.42260 - 2.23074i) q^{56} +(9.53532 + 1.21822i) q^{57} +8.92867 q^{58} +(2.64976 - 4.58951i) q^{59} +(1.13768 - 0.476356i) q^{60} +5.75535i q^{61} +(-0.0569841 + 0.0986994i) q^{62} +(7.55025 - 2.44821i) q^{63} -1.00000 q^{64} +(-0.115631 + 2.56489i) q^{65} +(-8.98365 + 3.76152i) q^{66} -3.54009 q^{67} +(-0.965215 - 1.67180i) q^{68} +(-4.81769 - 11.5061i) q^{69} +(-1.01303 - 1.58850i) q^{70} +(-5.97185 + 3.44785i) q^{71} +(0.754242 - 2.90364i) q^{72} +(8.54660 - 4.93438i) q^{73} +(-4.40483 - 2.54313i) q^{74} +(-7.17814 + 3.00554i) q^{75} +(-4.80641 - 2.77498i) q^{76} +(7.99933 + 12.5435i) q^{77} +(4.79361 + 4.00266i) q^{78} +(0.594003 - 1.02884i) q^{79} -0.712096 q^{80} +(7.86224 + 4.38009i) q^{81} +2.11562i q^{82} -17.8477 q^{83} +(-4.56681 - 0.379780i) q^{84} +(-0.687326 - 1.19048i) q^{85} +(6.97559 + 4.02736i) q^{86} +(9.36739 - 12.3051i) q^{87} +5.62302 q^{88} +(5.78541 + 10.0206i) q^{89} +(0.537093 - 2.06767i) q^{90} +(4.77755 - 8.25682i) q^{91} +7.20187i q^{92} +(0.0762391 + 0.182082i) q^{93} +5.56715i q^{94} +(-3.42262 - 1.97605i) q^{95} +(-1.04914 + 1.37816i) q^{96} +(-7.57611 + 4.37407i) q^{97} +(0.616609 + 6.97279i) q^{98} +(-4.24112 + 16.3272i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 76q + 38q^{4} + 10q^{7} - 8q^{9} + O(q^{10}) \) \( 76q + 38q^{4} + 10q^{7} - 8q^{9} + 2q^{13} + 12q^{15} - 38q^{16} - 8q^{21} - 42q^{25} + 20q^{28} + 20q^{30} + 12q^{31} - 4q^{36} - 6q^{37} + 12q^{39} + 8q^{42} - 2q^{43} - 4q^{46} + 2q^{49} + 10q^{51} - 14q^{52} + 18q^{54} + 24q^{55} + 8q^{57} + 16q^{58} - 12q^{60} + 32q^{63} - 76q^{64} - 24q^{66} + 96q^{67} - 30q^{69} - 54q^{73} - 12q^{75} + 18q^{76} - 12q^{78} - 60q^{79} + 8q^{81} + 8q^{84} + 8q^{85} - 24q^{87} + 48q^{91} + 16q^{93} - 66q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 + 0.500000i −0.612372 + 0.353553i
\(3\) −0.219501 + 1.71809i −0.126729 + 0.991937i
\(4\) 0.500000 0.866025i 0.250000 0.433013i
\(5\) 0.356048 0.616693i 0.159229 0.275793i −0.775362 0.631518i \(-0.782432\pi\)
0.934591 + 0.355724i \(0.115766\pi\)
\(6\) −0.668950 1.59766i −0.273098 0.652241i
\(7\) −2.23074 + 1.42260i −0.843140 + 0.537694i
\(8\) 1.00000i 0.353553i
\(9\) −2.90364 0.754242i −0.967880 0.251414i
\(10\) 0.712096i 0.225184i
\(11\) 5.62302i 1.69540i −0.530473 0.847702i \(-0.677986\pi\)
0.530473 0.847702i \(-0.322014\pi\)
\(12\) 1.37816 + 1.04914i 0.397839 + 0.302860i
\(13\) −3.20052 + 1.66032i −0.887665 + 0.460490i
\(14\) 1.22057 2.34738i 0.326212 0.627364i
\(15\) 0.981379 + 0.747085i 0.253391 + 0.192897i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 0.965215 1.67180i 0.234099 0.405472i −0.724911 0.688842i \(-0.758119\pi\)
0.959010 + 0.283371i \(0.0914527\pi\)
\(18\) 2.89175 0.798626i 0.681591 0.188238i
\(19\) 5.54996i 1.27325i −0.771174 0.636625i \(-0.780330\pi\)
0.771174 0.636625i \(-0.219670\pi\)
\(20\) −0.356048 0.616693i −0.0796147 0.137897i
\(21\) −1.95451 4.14486i −0.426508 0.904484i
\(22\) 2.81151 + 4.86968i 0.599416 + 1.03822i
\(23\) −6.23701 + 3.60094i −1.30051 + 0.750847i −0.980491 0.196565i \(-0.937021\pi\)
−0.320015 + 0.947412i \(0.603688\pi\)
\(24\) −1.71809 0.219501i −0.350703 0.0448054i
\(25\) 2.24646 + 3.89098i 0.449292 + 0.778197i
\(26\) 1.94157 3.03814i 0.380774 0.595828i
\(27\) 1.93320 4.82314i 0.372045 0.928215i
\(28\) 0.116641 + 2.64318i 0.0220432 + 0.499514i
\(29\) −7.73245 4.46433i −1.43588 0.829006i −0.438320 0.898819i \(-0.644426\pi\)
−0.997560 + 0.0698128i \(0.977760\pi\)
\(30\) −1.22344 0.156306i −0.223369 0.0285374i
\(31\) 0.0986994 0.0569841i 0.0177269 0.0102347i −0.491110 0.871097i \(-0.663409\pi\)
0.508837 + 0.860863i \(0.330075\pi\)
\(32\) 0.866025 + 0.500000i 0.153093 + 0.0883883i
\(33\) 9.66083 + 1.23426i 1.68173 + 0.214857i
\(34\) 1.93043i 0.331066i
\(35\) 0.0830599 + 1.88220i 0.0140397 + 0.318149i
\(36\) −2.10501 + 2.13750i −0.350835 + 0.356251i
\(37\) 2.54313 + 4.40483i 0.418088 + 0.724150i 0.995747 0.0921282i \(-0.0293670\pi\)
−0.577659 + 0.816278i \(0.696034\pi\)
\(38\) 2.77498 + 4.80641i 0.450162 + 0.779703i
\(39\) −2.15006 5.86321i −0.344285 0.938865i
\(40\) 0.616693 + 0.356048i 0.0975077 + 0.0562961i
\(41\) 1.05781 1.83218i 0.165202 0.286139i −0.771525 0.636199i \(-0.780506\pi\)
0.936727 + 0.350060i \(0.113839\pi\)
\(42\) 3.76508 + 2.61230i 0.580965 + 0.403087i
\(43\) −4.02736 6.97559i −0.614166 1.06377i −0.990530 0.137295i \(-0.956159\pi\)
0.376364 0.926472i \(-0.377174\pi\)
\(44\) −4.86968 2.81151i −0.734132 0.423851i
\(45\) −1.49897 + 1.52211i −0.223453 + 0.226902i
\(46\) 3.60094 6.23701i 0.530929 0.919596i
\(47\) 2.78358 4.82130i 0.406026 0.703258i −0.588414 0.808560i \(-0.700247\pi\)
0.994440 + 0.105301i \(0.0335808\pi\)
\(48\) 1.59766 0.668950i 0.230602 0.0965546i
\(49\) 2.95240 6.34692i 0.421771 0.906702i
\(50\) −3.89098 2.24646i −0.550268 0.317697i
\(51\) 2.66043 + 2.02528i 0.372535 + 0.283597i
\(52\) −0.162381 + 3.60189i −0.0225182 + 0.499493i
\(53\) 1.94065 1.12043i 0.266569 0.153904i −0.360759 0.932659i \(-0.617482\pi\)
0.627327 + 0.778756i \(0.284149\pi\)
\(54\) 0.737369 + 5.14357i 0.100343 + 0.699951i
\(55\) −3.46768 2.00206i −0.467581 0.269958i
\(56\) −1.42260 2.23074i −0.190103 0.298095i
\(57\) 9.53532 + 1.21822i 1.26298 + 0.161357i
\(58\) 8.92867 1.17239
\(59\) 2.64976 4.58951i 0.344969 0.597503i −0.640379 0.768059i \(-0.721223\pi\)
0.985348 + 0.170555i \(0.0545562\pi\)
\(60\) 1.13768 0.476356i 0.146874 0.0614973i
\(61\) 5.75535i 0.736897i 0.929648 + 0.368448i \(0.120111\pi\)
−0.929648 + 0.368448i \(0.879889\pi\)
\(62\) −0.0569841 + 0.0986994i −0.00723699 + 0.0125348i
\(63\) 7.55025 2.44821i 0.951242 0.308445i
\(64\) −1.00000 −0.125000
\(65\) −0.115631 + 2.56489i −0.0143422 + 0.318136i
\(66\) −8.98365 + 3.76152i −1.10581 + 0.463011i
\(67\) −3.54009 −0.432490 −0.216245 0.976339i \(-0.569381\pi\)
−0.216245 + 0.976339i \(0.569381\pi\)
\(68\) −0.965215 1.67180i −0.117050 0.202736i
\(69\) −4.81769 11.5061i −0.579982 1.38517i
\(70\) −1.01303 1.58850i −0.121080 0.189862i
\(71\) −5.97185 + 3.44785i −0.708728 + 0.409184i −0.810590 0.585614i \(-0.800853\pi\)
0.101862 + 0.994799i \(0.467520\pi\)
\(72\) 0.754242 2.90364i 0.0888883 0.342197i
\(73\) 8.54660 4.93438i 1.00030 0.577525i 0.0919654 0.995762i \(-0.470685\pi\)
0.908338 + 0.418237i \(0.137352\pi\)
\(74\) −4.40483 2.54313i −0.512051 0.295633i
\(75\) −7.17814 + 3.00554i −0.828860 + 0.347050i
\(76\) −4.80641 2.77498i −0.551333 0.318312i
\(77\) 7.99933 + 12.5435i 0.911608 + 1.42946i
\(78\) 4.79361 + 4.00266i 0.542769 + 0.453212i
\(79\) 0.594003 1.02884i 0.0668306 0.115754i −0.830674 0.556759i \(-0.812045\pi\)
0.897505 + 0.441005i \(0.145378\pi\)
\(80\) −0.712096 −0.0796147
\(81\) 7.86224 + 4.38009i 0.873582 + 0.486677i
\(82\) 2.11562i 0.233631i
\(83\) −17.8477 −1.95904 −0.979519 0.201350i \(-0.935467\pi\)
−0.979519 + 0.201350i \(0.935467\pi\)
\(84\) −4.56681 0.379780i −0.498280 0.0414374i
\(85\) −0.687326 1.19048i −0.0745509 0.129126i
\(86\) 6.97559 + 4.02736i 0.752197 + 0.434281i
\(87\) 9.36739 12.3051i 1.00429 1.31924i
\(88\) 5.62302 0.599416
\(89\) 5.78541 + 10.0206i 0.613252 + 1.06218i 0.990689 + 0.136148i \(0.0434723\pi\)
−0.377437 + 0.926035i \(0.623194\pi\)
\(90\) 0.537093 2.06767i 0.0566145 0.217951i
\(91\) 4.77755 8.25682i 0.500823 0.865550i
\(92\) 7.20187i 0.750847i
\(93\) 0.0762391 + 0.182082i 0.00790562 + 0.0188810i
\(94\) 5.56715i 0.574208i
\(95\) −3.42262 1.97605i −0.351154 0.202739i
\(96\) −1.04914 + 1.37816i −0.107077 + 0.140657i
\(97\) −7.57611 + 4.37407i −0.769238 + 0.444120i −0.832603 0.553871i \(-0.813150\pi\)
0.0633648 + 0.997990i \(0.479817\pi\)
\(98\) 0.616609 + 6.97279i 0.0622869 + 0.704358i
\(99\) −4.24112 + 16.3272i −0.426248 + 1.64095i
\(100\) 4.49292 0.449292
\(101\) −13.8469 −1.37782 −0.688911 0.724846i \(-0.741911\pi\)
−0.688911 + 0.724846i \(0.741911\pi\)
\(102\) −3.31665 0.423731i −0.328397 0.0419556i
\(103\) −12.2515 7.07342i −1.20718 0.696965i −0.245037 0.969514i \(-0.578800\pi\)
−0.962142 + 0.272549i \(0.912133\pi\)
\(104\) −1.66032 3.20052i −0.162808 0.313837i
\(105\) −3.25201 0.270439i −0.317363 0.0263922i
\(106\) −1.12043 + 1.94065i −0.108826 + 0.188493i
\(107\) −1.81959 + 1.05054i −0.175907 + 0.101560i −0.585368 0.810768i \(-0.699050\pi\)
0.409461 + 0.912327i \(0.365717\pi\)
\(108\) −3.21036 4.08578i −0.308917 0.393154i
\(109\) 5.57572 + 9.65742i 0.534057 + 0.925013i 0.999208 + 0.0397824i \(0.0126665\pi\)
−0.465152 + 0.885231i \(0.654000\pi\)
\(110\) 4.00413 0.381779
\(111\) −8.12610 + 3.40245i −0.771295 + 0.322947i
\(112\) 2.34738 + 1.22057i 0.221807 + 0.115333i
\(113\) −16.4734 + 9.51093i −1.54969 + 0.894713i −0.551524 + 0.834159i \(0.685954\pi\)
−0.998165 + 0.0605544i \(0.980713\pi\)
\(114\) −8.86694 + 3.71265i −0.830465 + 0.347721i
\(115\) 5.12842i 0.478228i
\(116\) −7.73245 + 4.46433i −0.717940 + 0.414503i
\(117\) 10.5454 2.40700i 0.974926 0.222527i
\(118\) 5.29951i 0.487859i
\(119\) 0.225168 + 5.10247i 0.0206411 + 0.467743i
\(120\) −0.747085 + 0.981379i −0.0681993 + 0.0895872i
\(121\) −20.6183 −1.87440
\(122\) −2.87767 4.98428i −0.260532 0.451255i
\(123\) 2.91566 + 2.21958i 0.262896 + 0.200132i
\(124\) 0.113968i 0.0102347i
\(125\) 6.75987 0.604621
\(126\) −5.31460 + 5.89534i −0.473462 + 0.525198i
\(127\) −7.11167 + 12.3178i −0.631059 + 1.09303i 0.356277 + 0.934380i \(0.384046\pi\)
−0.987336 + 0.158645i \(0.949287\pi\)
\(128\) 0.866025 0.500000i 0.0765466 0.0441942i
\(129\) 12.8687 5.38820i 1.13302 0.474404i
\(130\) −1.18231 2.27908i −0.103695 0.199888i
\(131\) −0.0931423 + 0.161327i −0.00813788 + 0.0140952i −0.870066 0.492936i \(-0.835924\pi\)
0.861928 + 0.507031i \(0.169257\pi\)
\(132\) 5.89931 7.74940i 0.513469 0.674498i
\(133\) 7.89540 + 12.3805i 0.684618 + 1.07353i
\(134\) 3.06580 1.77004i 0.264845 0.152908i
\(135\) −2.28609 2.90946i −0.196755 0.250407i
\(136\) 1.67180 + 0.965215i 0.143356 + 0.0827665i
\(137\) 3.96537 + 2.28941i 0.338784 + 0.195597i 0.659734 0.751499i \(-0.270669\pi\)
−0.320950 + 0.947096i \(0.604002\pi\)
\(138\) 9.92530 + 7.55575i 0.844898 + 0.643188i
\(139\) 9.28884 5.36291i 0.787869 0.454876i −0.0513428 0.998681i \(-0.516350\pi\)
0.839212 + 0.543805i \(0.183017\pi\)
\(140\) 1.67156 + 0.869166i 0.141273 + 0.0734579i
\(141\) 7.67240 + 5.84070i 0.646133 + 0.491876i
\(142\) 3.44785 5.97185i 0.289337 0.501146i
\(143\) 9.33601 + 17.9966i 0.780717 + 1.50495i
\(144\) 0.798626 + 2.89175i 0.0665522 + 0.240979i
\(145\) −5.50625 + 3.17903i −0.457269 + 0.264004i
\(146\) −4.93438 + 8.54660i −0.408372 + 0.707321i
\(147\) 10.2565 + 6.46562i 0.845942 + 0.533276i
\(148\) 5.08626 0.418088
\(149\) 22.1034i 1.81078i −0.424583 0.905389i \(-0.639579\pi\)
0.424583 0.905389i \(-0.360421\pi\)
\(150\) 4.71368 6.19194i 0.384871 0.505570i
\(151\) 1.46229 + 2.53277i 0.119000 + 0.206114i 0.919372 0.393390i \(-0.128698\pi\)
−0.800372 + 0.599504i \(0.795365\pi\)
\(152\) 5.54996 0.450162
\(153\) −4.06358 + 4.12630i −0.328521 + 0.333592i
\(154\) −13.1994 6.86332i −1.06364 0.553062i
\(155\) 0.0811563i 0.00651863i
\(156\) −6.15272 1.06960i −0.492612 0.0856367i
\(157\) 1.09503 0.632216i 0.0873929 0.0504563i −0.455667 0.890150i \(-0.650599\pi\)
0.543060 + 0.839694i \(0.317266\pi\)
\(158\) 1.18801i 0.0945127i
\(159\) 1.49903 + 3.58014i 0.118881 + 0.283923i
\(160\) 0.616693 0.356048i 0.0487539 0.0281481i
\(161\) 8.79043 16.9055i 0.692783 1.33234i
\(162\) −8.99894 + 0.137846i −0.707024 + 0.0108302i
\(163\) −0.255421 −0.0200062 −0.0100031 0.999950i \(-0.503184\pi\)
−0.0100031 + 0.999950i \(0.503184\pi\)
\(164\) −1.05781 1.83218i −0.0826012 0.143069i
\(165\) 4.20088 5.51831i 0.327038 0.429600i
\(166\) 15.4566 8.92385i 1.19966 0.692625i
\(167\) 7.20942 12.4871i 0.557882 0.966279i −0.439792 0.898100i \(-0.644948\pi\)
0.997673 0.0681793i \(-0.0217190\pi\)
\(168\) 4.14486 1.95451i 0.319783 0.150793i
\(169\) 7.48667 10.6278i 0.575898 0.817522i
\(170\) 1.19048 + 0.687326i 0.0913059 + 0.0527155i
\(171\) −4.18602 + 16.1151i −0.320113 + 1.23235i
\(172\) −8.05471 −0.614166
\(173\) 8.57771 0.652151 0.326075 0.945344i \(-0.394274\pi\)
0.326075 + 0.945344i \(0.394274\pi\)
\(174\) −1.95985 + 15.3402i −0.148576 + 1.16294i
\(175\) −10.5466 5.48395i −0.797248 0.414547i
\(176\) −4.86968 + 2.81151i −0.367066 + 0.211926i
\(177\) 7.30355 + 5.55991i 0.548968 + 0.417908i
\(178\) −10.0206 5.78541i −0.751077 0.433635i
\(179\) 18.4544i 1.37934i 0.724122 + 0.689672i \(0.242245\pi\)
−0.724122 + 0.689672i \(0.757755\pi\)
\(180\) 0.568698 + 2.05920i 0.0423883 + 0.153484i
\(181\) 8.57986i 0.637736i 0.947799 + 0.318868i \(0.103303\pi\)
−0.947799 + 0.318868i \(0.896697\pi\)
\(182\) −0.00907193 + 9.53939i −0.000672456 + 0.707106i
\(183\) −9.88818 1.26330i −0.730956 0.0933861i
\(184\) −3.60094 6.23701i −0.265465 0.459798i
\(185\) 3.62191 0.266288
\(186\) −0.157066 0.119568i −0.0115166 0.00876717i
\(187\) −9.40057 5.42742i −0.687438 0.396893i
\(188\) −2.78358 4.82130i −0.203013 0.351629i
\(189\) 2.54895 + 13.5094i 0.185409 + 0.982661i
\(190\) 3.95211 0.286716
\(191\) 9.48655i 0.686423i 0.939258 + 0.343211i \(0.111515\pi\)
−0.939258 + 0.343211i \(0.888485\pi\)
\(192\) 0.219501 1.71809i 0.0158411 0.123992i
\(193\) −12.8562 −0.925410 −0.462705 0.886512i \(-0.653121\pi\)
−0.462705 + 0.886512i \(0.653121\pi\)
\(194\) 4.37407 7.57611i 0.314040 0.543933i
\(195\) −4.38132 0.761659i −0.313753 0.0545436i
\(196\) −4.02039 5.73031i −0.287171 0.409308i
\(197\) 2.96565 + 1.71222i 0.211294 + 0.121991i 0.601913 0.798562i \(-0.294406\pi\)
−0.390619 + 0.920553i \(0.627739\pi\)
\(198\) −4.49069 16.2603i −0.319140 1.15557i
\(199\) 3.23419 + 1.86726i 0.229265 + 0.132366i 0.610233 0.792222i \(-0.291076\pi\)
−0.380968 + 0.924588i \(0.624409\pi\)
\(200\) −3.89098 + 2.24646i −0.275134 + 0.158849i
\(201\) 0.777051 6.08217i 0.0548090 0.429003i
\(202\) 11.9918 6.92347i 0.843740 0.487133i
\(203\) 23.6001 1.04145i 1.65640 0.0730957i
\(204\) 3.08416 1.29136i 0.215935 0.0904134i
\(205\) −0.753263 1.30469i −0.0526102 0.0911235i
\(206\) 14.1468 0.985658
\(207\) 20.8260 5.75161i 1.44751 0.399764i
\(208\) 3.03814 + 1.94157i 0.210657 + 0.134624i
\(209\) −31.2076 −2.15867
\(210\) 2.95154 1.39180i 0.203676 0.0960430i
\(211\) −4.16920 + 7.22126i −0.287020 + 0.497132i −0.973097 0.230396i \(-0.925998\pi\)
0.686077 + 0.727529i \(0.259331\pi\)
\(212\) 2.24087i 0.153904i
\(213\) −4.61287 11.0170i −0.316069 0.754869i
\(214\) 1.05054 1.81959i 0.0718136 0.124385i
\(215\) −5.73573 −0.391173
\(216\) 4.82314 + 1.93320i 0.328173 + 0.131538i
\(217\) −0.139107 + 0.267527i −0.00944319 + 0.0181609i
\(218\) −9.65742 5.57572i −0.654083 0.377635i
\(219\) 6.60170 + 15.7669i 0.446102 + 1.06543i
\(220\) −3.46768 + 2.00206i −0.233791 + 0.134979i
\(221\) −0.313465 + 6.95320i −0.0210860 + 0.467723i
\(222\) 5.33618 7.00966i 0.358141 0.470458i
\(223\) −7.22474 4.17120i −0.483804 0.279325i 0.238196 0.971217i \(-0.423444\pi\)
−0.722001 + 0.691893i \(0.756777\pi\)
\(224\) −2.64318 + 0.116641i −0.176605 + 0.00779344i
\(225\) −3.58816 12.9924i −0.239211 0.866159i
\(226\) 9.51093 16.4734i 0.632658 1.09580i
\(227\) 5.79685 10.0404i 0.384750 0.666407i −0.606984 0.794714i \(-0.707621\pi\)
0.991735 + 0.128307i \(0.0409542\pi\)
\(228\) 5.82267 7.64872i 0.385616 0.506549i
\(229\) −8.81586 5.08984i −0.582568 0.336346i 0.179585 0.983742i \(-0.442524\pi\)
−0.762153 + 0.647396i \(0.775858\pi\)
\(230\) −2.56421 4.44135i −0.169079 0.292854i
\(231\) −23.3067 + 10.9902i −1.53347 + 0.723104i
\(232\) 4.46433 7.73245i 0.293098 0.507660i
\(233\) −6.98379 4.03209i −0.457523 0.264151i 0.253479 0.967341i \(-0.418425\pi\)
−0.711002 + 0.703190i \(0.751758\pi\)
\(234\) −7.92912 + 7.35725i −0.518343 + 0.480958i
\(235\) −1.98217 3.43322i −0.129303 0.223959i
\(236\) −2.64976 4.58951i −0.172484 0.298752i
\(237\) 1.63726 + 1.24638i 0.106351 + 0.0809611i
\(238\) −2.74624 4.30629i −0.178012 0.279135i
\(239\) 3.86761i 0.250175i −0.992146 0.125087i \(-0.960079\pi\)
0.992146 0.125087i \(-0.0399211\pi\)
\(240\) 0.156306 1.22344i 0.0100895 0.0789728i
\(241\) 8.01620 + 4.62815i 0.516369 + 0.298126i 0.735448 0.677582i \(-0.236972\pi\)
−0.219079 + 0.975707i \(0.570305\pi\)
\(242\) 17.8560 10.3092i 1.14783 0.662699i
\(243\) −9.25115 + 12.5466i −0.593461 + 0.804863i
\(244\) 4.98428 + 2.87767i 0.319086 + 0.184224i
\(245\) −2.86290 4.08053i −0.182904 0.260695i
\(246\) −3.63482 0.464381i −0.231748 0.0296078i
\(247\) 9.21472 + 17.7628i 0.586319 + 1.13022i
\(248\) 0.0569841 + 0.0986994i 0.00361850 + 0.00626742i
\(249\) 3.91758 30.6639i 0.248267 1.94324i
\(250\) −5.85422 + 3.37993i −0.370253 + 0.213766i
\(251\) −10.6853 18.5075i −0.674451 1.16818i −0.976629 0.214932i \(-0.931047\pi\)
0.302178 0.953251i \(-0.402286\pi\)
\(252\) 1.65491 7.76281i 0.104250 0.489011i
\(253\) 20.2481 + 35.0708i 1.27299 + 2.20488i
\(254\) 14.2233i 0.892452i
\(255\) 2.19622 0.919573i 0.137533 0.0575859i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −11.2072 19.4114i −0.699086 1.21085i −0.968784 0.247907i \(-0.920257\pi\)
0.269698 0.962945i \(-0.413076\pi\)
\(258\) −8.45049 + 11.1007i −0.526105 + 0.691096i
\(259\) −11.9394 6.20817i −0.741878 0.385757i
\(260\) 2.16345 + 1.38259i 0.134171 + 0.0857443i
\(261\) 19.0851 + 18.7950i 1.18134 + 1.16338i
\(262\) 0.186285i 0.0115087i
\(263\) 15.2564i 0.940751i 0.882466 + 0.470375i \(0.155881\pi\)
−0.882466 + 0.470375i \(0.844119\pi\)
\(264\) −1.23426 + 9.66083i −0.0759633 + 0.594583i
\(265\) 1.59571i 0.0980239i
\(266\) −13.0279 6.77415i −0.798791 0.415350i
\(267\) −18.4862 + 7.74029i −1.13134 + 0.473698i
\(268\) −1.77004 + 3.06580i −0.108123 + 0.187274i
\(269\) 9.42887 16.3313i 0.574888 0.995735i −0.421166 0.906984i \(-0.638379\pi\)
0.996054 0.0887517i \(-0.0282878\pi\)
\(270\) 3.43454 + 1.37663i 0.209019 + 0.0837788i
\(271\) 15.4527 8.92161i 0.938683 0.541949i 0.0491361 0.998792i \(-0.484353\pi\)
0.889547 + 0.456843i \(0.151020\pi\)
\(272\) −1.93043 −0.117050
\(273\) 13.1372 + 10.0206i 0.795102 + 0.606475i
\(274\) −4.57881 −0.276616
\(275\) 21.8791 12.6319i 1.31936 0.761731i
\(276\) −12.3734 1.58082i −0.744794 0.0951540i
\(277\) 14.2909 24.7526i 0.858657 1.48724i −0.0145535 0.999894i \(-0.504633\pi\)
0.873210 0.487343i \(-0.162034\pi\)
\(278\) −5.36291 + 9.28884i −0.321646 + 0.557108i
\(279\) −0.329567 + 0.0910181i −0.0197307 + 0.00544911i
\(280\) −1.88220 + 0.0830599i −0.112483 + 0.00496378i
\(281\) 0.0777640i 0.00463901i −0.999997 0.00231951i \(-0.999262\pi\)
0.999997 0.00231951i \(-0.000738323\pi\)
\(282\) −9.56485 1.22199i −0.569578 0.0727687i
\(283\) 12.3765i 0.735707i −0.929884 0.367854i \(-0.880093\pi\)
0.929884 0.367854i \(-0.119907\pi\)
\(284\) 6.89570i 0.409184i
\(285\) 4.14630 5.44662i 0.245605 0.322630i
\(286\) −17.0835 10.9175i −1.01017 0.645565i
\(287\) 0.246769 + 5.59197i 0.0145663 + 0.330083i
\(288\) −2.13750 2.10501i −0.125954 0.124039i
\(289\) 6.63672 + 11.4951i 0.390395 + 0.676184i
\(290\) 3.17903 5.50625i 0.186679 0.323338i
\(291\) −5.85207 13.9765i −0.343054 0.819319i
\(292\) 9.86876i 0.577525i
\(293\) 9.97370 + 17.2750i 0.582670 + 1.00921i 0.995162 + 0.0982523i \(0.0313252\pi\)
−0.412492 + 0.910961i \(0.635341\pi\)
\(294\) −12.1152 0.471146i −0.706573 0.0274778i
\(295\) −1.88688 3.26817i −0.109858 0.190280i
\(296\) −4.40483 + 2.54313i −0.256026 + 0.147817i
\(297\) −27.1206 10.8704i −1.57370 0.630767i
\(298\) 11.0517 + 19.1421i 0.640207 + 1.10887i
\(299\) 13.9830 21.8803i 0.808656 1.26537i
\(300\) −0.986199 + 7.71922i −0.0569382 + 0.445670i
\(301\) 18.9075 + 9.83138i 1.08981 + 0.566671i
\(302\) −2.53277 1.46229i −0.145744 0.0841456i
\(303\) 3.03941 23.7902i 0.174610 1.36671i
\(304\) −4.80641 + 2.77498i −0.275667 + 0.159156i
\(305\) 3.54928 + 2.04918i 0.203231 + 0.117336i
\(306\) 1.45601 5.60527i 0.0832347 0.320432i
\(307\) 15.8955i 0.907206i −0.891204 0.453603i \(-0.850138\pi\)
0.891204 0.453603i \(-0.149862\pi\)
\(308\) 14.8626 0.655877i 0.846878 0.0373721i
\(309\) 14.8420 19.4966i 0.844330 1.10912i
\(310\) 0.0405782 + 0.0702834i 0.00230468 + 0.00399183i
\(311\) 0.273994 + 0.474572i 0.0155368 + 0.0269105i 0.873689 0.486484i \(-0.161721\pi\)
−0.858152 + 0.513395i \(0.828388\pi\)
\(312\) 5.86321 2.15006i 0.331939 0.121723i
\(313\) −18.5777 10.7258i −1.05007 0.606260i −0.127404 0.991851i \(-0.540664\pi\)
−0.922670 + 0.385591i \(0.873998\pi\)
\(314\) −0.632216 + 1.09503i −0.0356780 + 0.0617961i
\(315\) 1.17846 5.52787i 0.0663985 0.311460i
\(316\) −0.594003 1.02884i −0.0334153 0.0578770i
\(317\) −7.04632 4.06819i −0.395761 0.228492i 0.288893 0.957362i \(-0.406713\pi\)
−0.684653 + 0.728869i \(0.740046\pi\)
\(318\) −3.08827 2.35098i −0.173181 0.131836i
\(319\) −25.1030 + 43.4797i −1.40550 + 2.43440i
\(320\) −0.356048 + 0.616693i −0.0199037 + 0.0344742i
\(321\) −1.40552 3.35681i −0.0784485 0.187359i
\(322\) 0.840037 + 19.0358i 0.0468134 + 1.06083i
\(323\) −9.27844 5.35691i −0.516266 0.298066i
\(324\) 7.72439 4.61885i 0.429133 0.256603i
\(325\) −13.6501 8.72333i −0.757172 0.483883i
\(326\) 0.221201 0.127711i 0.0122512 0.00707324i
\(327\) −17.8162 + 7.45975i −0.985236 + 0.412525i
\(328\) 1.83218 + 1.05781i 0.101165 + 0.0584078i
\(329\) 0.649361 + 14.7150i 0.0358004 + 0.811263i
\(330\) −0.878909 + 6.87944i −0.0483823 + 0.378700i
\(331\) −11.9474 −0.656686 −0.328343 0.944559i \(-0.606490\pi\)
−0.328343 + 0.944559i \(0.606490\pi\)
\(332\) −8.92385 + 15.4566i −0.489760 + 0.848289i
\(333\) −4.06202 14.7082i −0.222598 0.806003i
\(334\) 14.4188i 0.788964i
\(335\) −1.26044 + 2.18315i −0.0688652 + 0.119278i
\(336\) −2.61230 + 3.76508i −0.142513 + 0.205402i
\(337\) 16.0614 0.874921 0.437460 0.899238i \(-0.355878\pi\)
0.437460 + 0.899238i \(0.355878\pi\)
\(338\) −1.16976 + 12.9473i −0.0636264 + 0.704238i
\(339\) −12.7247 30.3904i −0.691109 1.65058i
\(340\) −1.37465 −0.0745509
\(341\) −0.320423 0.554989i −0.0173519 0.0300543i
\(342\) −4.43235 16.0491i −0.239674 0.867835i
\(343\) 2.44312 + 18.3584i 0.131916 + 0.991261i
\(344\) 6.97559 4.02736i 0.376098 0.217141i
\(345\) −8.81107 1.12569i −0.474372 0.0606053i
\(346\) −7.42851 + 4.28885i −0.399359 + 0.230570i
\(347\) 7.96954 + 4.60122i 0.427827 + 0.247006i 0.698421 0.715688i \(-0.253887\pi\)
−0.270593 + 0.962694i \(0.587220\pi\)
\(348\) −5.97283 14.2649i −0.320177 0.764681i
\(349\) 27.6684 + 15.9743i 1.48105 + 0.855087i 0.999769 0.0214767i \(-0.00683677\pi\)
0.481285 + 0.876564i \(0.340170\pi\)
\(350\) 11.8756 0.524061i 0.634777 0.0280122i
\(351\) 1.82070 + 18.6463i 0.0971820 + 0.995267i
\(352\) 2.81151 4.86968i 0.149854 0.259555i
\(353\) 27.3031 1.45320 0.726598 0.687063i \(-0.241100\pi\)
0.726598 + 0.687063i \(0.241100\pi\)
\(354\) −9.10501 1.16325i −0.483926 0.0618258i
\(355\) 4.91039i 0.260617i
\(356\) 11.5708 0.613252
\(357\) −8.81591 0.733138i −0.466588 0.0388018i
\(358\) −9.22719 15.9820i −0.487672 0.844672i
\(359\) 3.65821 + 2.11207i 0.193073 + 0.111471i 0.593420 0.804893i \(-0.297777\pi\)
−0.400347 + 0.916363i \(0.631110\pi\)
\(360\) −1.52211 1.49897i −0.0802221 0.0790027i
\(361\) −11.8021 −0.621164
\(362\) −4.28993 7.43037i −0.225474 0.390532i
\(363\) 4.52574 35.4241i 0.237540 1.85928i
\(364\) −4.76184 8.26589i −0.249588 0.433250i
\(365\) 7.02750i 0.367836i
\(366\) 9.19507 3.85004i 0.480634 0.201245i
\(367\) 27.1487i 1.41715i −0.705634 0.708576i \(-0.749338\pi\)
0.705634 0.708576i \(-0.250662\pi\)
\(368\) 6.23701 + 3.60094i 0.325126 + 0.187712i
\(369\) −4.45341 + 4.52215i −0.231835 + 0.235414i
\(370\) −3.13666 + 1.81095i −0.163067 + 0.0941470i
\(371\) −2.73515 + 5.26017i −0.142002 + 0.273095i
\(372\) 0.195807 + 0.0250161i 0.0101521 + 0.00129703i
\(373\) 25.7130 1.33137 0.665683 0.746234i \(-0.268140\pi\)
0.665683 + 0.746234i \(0.268140\pi\)
\(374\) 10.8548 0.561291
\(375\) −1.48380 + 11.6140i −0.0766229 + 0.599746i
\(376\) 4.82130 + 2.78358i 0.248639 + 0.143552i
\(377\) 32.1601 + 1.44985i 1.65633 + 0.0746709i
\(378\) −8.96214 10.4250i −0.460963 0.536203i
\(379\) 9.50707 16.4667i 0.488345 0.845839i −0.511565 0.859245i \(-0.670934\pi\)
0.999910 + 0.0134057i \(0.00426729\pi\)
\(380\) −3.42262 + 1.97605i −0.175577 + 0.101369i
\(381\) −19.6020 14.9222i −1.00424 0.764488i
\(382\) −4.74328 8.21559i −0.242687 0.420346i
\(383\) 19.3643 0.989470 0.494735 0.869044i \(-0.335265\pi\)
0.494735 + 0.869044i \(0.335265\pi\)
\(384\) 0.668950 + 1.59766i 0.0341372 + 0.0815301i
\(385\) 10.5836 0.467047i 0.539392 0.0238029i
\(386\) 11.1338 6.42811i 0.566696 0.327182i
\(387\) 6.43271 + 23.2922i 0.326993 + 1.18401i
\(388\) 8.74814i 0.444120i
\(389\) −26.6606 + 15.3925i −1.35175 + 0.780431i −0.988494 0.151260i \(-0.951667\pi\)
−0.363252 + 0.931691i \(0.618334\pi\)
\(390\) 4.17517 1.53105i 0.211418 0.0775275i
\(391\) 13.9027i 0.703091i
\(392\) 6.34692 + 2.95240i 0.320568 + 0.149119i
\(393\) −0.256729 0.195438i −0.0129503 0.00985854i
\(394\) −3.42444 −0.172521
\(395\) −0.422987 0.732635i −0.0212828 0.0368629i
\(396\) 12.0192 + 11.8365i 0.603989 + 0.594808i
\(397\) 13.9149i 0.698368i 0.937054 + 0.349184i \(0.113541\pi\)
−0.937054 + 0.349184i \(0.886459\pi\)
\(398\) −3.73452 −0.187194
\(399\) −23.0039 + 10.8474i −1.15163 + 0.543051i
\(400\) 2.24646 3.89098i 0.112323 0.194549i
\(401\) 9.22185 5.32424i 0.460517 0.265880i −0.251745 0.967794i \(-0.581004\pi\)
0.712262 + 0.701914i \(0.247671\pi\)
\(402\) 2.36814 + 5.65584i 0.118112 + 0.282088i
\(403\) −0.221278 + 0.346252i −0.0110226 + 0.0172480i
\(404\) −6.92347 + 11.9918i −0.344455 + 0.596614i
\(405\) 5.50051 3.28906i 0.273322 0.163435i
\(406\) −19.9175 + 12.7020i −0.988490 + 0.630388i
\(407\) 24.7685 14.3001i 1.22773 0.708829i
\(408\) −2.02528 + 2.66043i −0.100267 + 0.131711i
\(409\) 6.80867 + 3.93099i 0.336667 + 0.194375i 0.658797 0.752321i \(-0.271066\pi\)
−0.322130 + 0.946695i \(0.604399\pi\)
\(410\) 1.30469 + 0.753263i 0.0644340 + 0.0372010i
\(411\) −4.80380 + 6.31032i −0.236954 + 0.311265i
\(412\) −12.2515 + 7.07342i −0.603590 + 0.348483i
\(413\) 0.618143 + 14.0076i 0.0304168 + 0.689267i
\(414\) −15.1600 + 15.3940i −0.745075 + 0.756576i
\(415\) −6.35463 + 11.0065i −0.311937 + 0.540290i
\(416\) −3.60189 0.162381i −0.176597 0.00796138i
\(417\) 7.17504 + 17.1362i 0.351363 + 0.839163i
\(418\) 27.0265 15.6038i 1.32191 0.763206i
\(419\) −11.5591 + 20.0210i −0.564699 + 0.978088i 0.432378 + 0.901692i \(0.357675\pi\)
−0.997078 + 0.0763955i \(0.975659\pi\)
\(420\) −1.86021 + 2.68110i −0.0907690 + 0.130824i
\(421\) 3.46283 0.168768 0.0843840 0.996433i \(-0.473108\pi\)
0.0843840 + 0.996433i \(0.473108\pi\)
\(422\) 8.33840i 0.405907i
\(423\) −11.7189 + 11.8998i −0.569794 + 0.578589i
\(424\) 1.12043 + 1.94065i 0.0544131 + 0.0942463i
\(425\) 8.67327 0.420715
\(426\) 9.50334 + 7.23452i 0.460438 + 0.350514i
\(427\) −8.18758 12.8387i −0.396225 0.621307i
\(428\) 2.10108i 0.101560i
\(429\) −32.9690 + 12.0898i −1.59176 + 0.583701i
\(430\) 4.96729 2.86786i 0.239544 0.138301i
\(431\) 10.7708i 0.518812i −0.965768 0.259406i \(-0.916473\pi\)
0.965768 0.259406i \(-0.0835267\pi\)
\(432\) −5.14357 + 0.737369i −0.247470 + 0.0354767i
\(433\) −4.10756 + 2.37150i −0.197397 + 0.113967i −0.595441 0.803399i \(-0.703022\pi\)
0.398044 + 0.917366i \(0.369689\pi\)
\(434\) −0.0132934 0.301239i −0.000638105 0.0144599i
\(435\) −4.25323 10.1580i −0.203927 0.487039i
\(436\) 11.1514 0.534057
\(437\) 19.9851 + 34.6152i 0.956016 + 1.65587i
\(438\) −13.6007 10.3537i −0.649866 0.494718i
\(439\) −2.60093 + 1.50165i −0.124136 + 0.0716697i −0.560782 0.827964i \(-0.689499\pi\)
0.436646 + 0.899633i \(0.356166\pi\)
\(440\) 2.00206 3.46768i 0.0954447 0.165315i
\(441\) −13.3598 + 16.2023i −0.636181 + 0.771540i
\(442\) −3.20513 6.17838i −0.152453 0.293876i
\(443\) −2.86188 1.65230i −0.135972 0.0785034i 0.430471 0.902604i \(-0.358347\pi\)
−0.566443 + 0.824101i \(0.691681\pi\)
\(444\) −1.11644 + 8.73864i −0.0529838 + 0.414717i
\(445\) 8.23953 0.390591
\(446\) 8.34241 0.395025
\(447\) 37.9755 + 4.85170i 1.79618 + 0.229478i
\(448\) 2.23074 1.42260i 0.105393 0.0672117i
\(449\) −0.505378 + 0.291780i −0.0238503 + 0.0137699i −0.511878 0.859058i \(-0.671050\pi\)
0.488027 + 0.872828i \(0.337717\pi\)
\(450\) 9.60363 + 9.45765i 0.452720 + 0.445838i
\(451\) −10.3024 5.94809i −0.485121 0.280085i
\(452\) 19.0219i 0.894713i
\(453\) −4.67249 + 1.95640i −0.219533 + 0.0919198i
\(454\) 11.5937i 0.544119i
\(455\) −3.39088 5.88610i −0.158967 0.275945i
\(456\) −1.21822 + 9.53532i −0.0570484 + 0.446532i
\(457\) −14.6725 25.4136i −0.686353 1.18880i −0.973010 0.230764i \(-0.925877\pi\)
0.286657 0.958033i \(-0.407456\pi\)
\(458\) 10.1797 0.475665
\(459\) −6.19738 7.88731i −0.289269 0.368148i
\(460\) 4.44135 + 2.56421i 0.207079 + 0.119557i
\(461\) −13.4919 23.3687i −0.628383 1.08839i −0.987876 0.155243i \(-0.950384\pi\)
0.359494 0.933148i \(-0.382949\pi\)
\(462\) 14.6890 21.1711i 0.683396 0.984971i
\(463\) −21.4118 −0.995091 −0.497545 0.867438i \(-0.665765\pi\)
−0.497545 + 0.867438i \(0.665765\pi\)
\(464\) 8.92867i 0.414503i
\(465\) 0.139434 + 0.0178139i 0.00646608 + 0.000826099i
\(466\) 8.06419 0.373566
\(467\) −2.30577 + 3.99371i −0.106698 + 0.184807i −0.914431 0.404742i \(-0.867361\pi\)
0.807733 + 0.589549i \(0.200695\pi\)
\(468\) 3.18820 10.3361i 0.147374 0.477787i
\(469\) 7.89701 5.03614i 0.364650 0.232547i
\(470\) 3.43322 + 1.98217i 0.158363 + 0.0914308i
\(471\) 0.845842 + 2.02013i 0.0389743 + 0.0930826i
\(472\) 4.58951 + 2.64976i 0.211249 + 0.121965i
\(473\) −39.2239 + 22.6459i −1.80352 + 1.04126i
\(474\) −2.04110 0.260768i −0.0937507 0.0119775i
\(475\) 21.5948 12.4678i 0.990838 0.572061i
\(476\) 4.53146 + 2.35624i 0.207699 + 0.107998i
\(477\) −6.48002 + 1.78962i −0.296700 + 0.0819409i
\(478\) 1.93380 + 3.34945i 0.0884502 + 0.153200i
\(479\) −10.3048 −0.470837 −0.235419 0.971894i \(-0.575646\pi\)
−0.235419 + 0.971894i \(0.575646\pi\)
\(480\) 0.476356 + 1.13768i 0.0217426 + 0.0519279i
\(481\) −15.4528 9.87535i −0.704586 0.450277i
\(482\) −9.25631 −0.421613
\(483\) 27.1157 + 18.8135i 1.23381 + 0.856043i
\(484\) −10.3092 + 17.8560i −0.468599 + 0.811637i
\(485\) 6.22952i 0.282868i
\(486\) 1.73844 15.4912i 0.0788574 0.702696i
\(487\) 0.953459 1.65144i 0.0432054 0.0748339i −0.843614 0.536950i \(-0.819576\pi\)
0.886819 + 0.462116i \(0.152910\pi\)
\(488\) −5.75535 −0.260532
\(489\) 0.0560652 0.438836i 0.00253536 0.0198449i
\(490\) 4.51961 + 2.10239i 0.204175 + 0.0949762i
\(491\) 28.8254 + 16.6423i 1.30087 + 0.751059i 0.980554 0.196252i \(-0.0628769\pi\)
0.320318 + 0.947310i \(0.396210\pi\)
\(492\) 3.38004 1.41525i 0.152384 0.0638042i
\(493\) −14.9270 + 8.61809i −0.672277 + 0.388139i
\(494\) −16.8616 10.7757i −0.758638 0.484820i
\(495\) 8.55884 + 8.42874i 0.384691 + 0.378844i
\(496\) −0.0986994 0.0569841i −0.00443174 0.00255866i
\(497\) 8.41671 16.1868i 0.377541 0.726078i
\(498\) 11.9392 + 28.5145i 0.535009 + 1.27776i
\(499\) −1.95109 + 3.37939i −0.0873428 + 0.151282i −0.906387 0.422448i \(-0.861171\pi\)
0.819044 + 0.573730i \(0.194504\pi\)
\(500\) 3.37993 5.85422i 0.151155 0.261809i
\(501\) 19.8714 + 15.1273i 0.887789 + 0.675839i
\(502\) 18.5075 + 10.6853i 0.826030 + 0.476909i
\(503\) −5.38338 9.32430i −0.240033 0.415750i 0.720690 0.693257i \(-0.243825\pi\)
−0.960723 + 0.277507i \(0.910492\pi\)
\(504\) 2.44821 + 7.55025i 0.109052 + 0.336315i
\(505\) −4.93017 + 8.53931i −0.219390 + 0.379994i
\(506\) −35.0708 20.2481i −1.55909 0.900140i
\(507\) 16.6161 + 15.1956i 0.737947 + 0.674858i
\(508\) 7.11167 + 12.3178i 0.315529 + 0.546513i
\(509\) −0.925076 1.60228i −0.0410033 0.0710198i 0.844795 0.535089i \(-0.179722\pi\)
−0.885799 + 0.464070i \(0.846389\pi\)
\(510\) −1.44220 + 1.89448i −0.0638615 + 0.0838891i
\(511\) −12.0456 + 23.1657i −0.532864 + 1.02479i
\(512\) 1.00000i 0.0441942i
\(513\) −26.7683 10.7292i −1.18185 0.473706i
\(514\) 19.4114 + 11.2072i 0.856202 + 0.494328i
\(515\) −8.72426 + 5.03695i −0.384437 + 0.221955i
\(516\) 1.76802 13.8387i 0.0778325 0.609214i
\(517\) −27.1102 15.6521i −1.19231 0.688379i
\(518\) 13.4439 0.593269i 0.590691 0.0260668i
\(519\) −1.88281 + 14.7372i −0.0826463 + 0.646893i
\(520\) −2.56489 0.115631i −0.112478 0.00507075i
\(521\) 4.58751 + 7.94581i 0.200983 + 0.348112i 0.948845 0.315741i \(-0.102253\pi\)
−0.747863 + 0.663853i \(0.768920\pi\)
\(522\) −25.9256 6.73438i −1.13473 0.294756i
\(523\) 37.5869 21.7008i 1.64356 0.948909i 0.664005 0.747728i \(-0.268855\pi\)
0.979554 0.201181i \(-0.0644779\pi\)
\(524\) 0.0931423 + 0.161327i 0.00406894 + 0.00704761i
\(525\) 11.7369 16.9162i 0.512239 0.738285i
\(526\) −7.62821 13.2124i −0.332606 0.576090i
\(527\) 0.220008i 0.00958369i
\(528\) −3.76152 8.98365i −0.163699 0.390963i
\(529\) 14.4335 24.9996i 0.627543 1.08694i
\(530\) 0.797857 + 1.38193i 0.0346567 + 0.0600271i
\(531\) −11.1555 + 11.3277i −0.484109 + 0.491581i
\(532\) 14.6696 0.647356i 0.636006 0.0280664i
\(533\) −0.343537 + 7.62024i −0.0148802 + 0.330069i
\(534\) 12.1394 15.9464i 0.525321 0.690067i
\(535\) 1.49617i 0.0646852i
\(536\) 3.54009i 0.152908i
\(537\) −31.7062 4.05075i −1.36822 0.174803i
\(538\) 18.8577i 0.813015i
\(539\) −35.6888 16.6014i −1.53723 0.715072i
\(540\) −3.66271 + 0.525077i −0.157618 + 0.0225957i
\(541\) 10.1315 17.5483i 0.435588 0.754461i −0.561755 0.827304i \(-0.689874\pi\)
0.997343 + 0.0728424i \(0.0232070\pi\)
\(542\) −8.92161 + 15.4527i −0.383216 + 0.663749i
\(543\) −14.7409 1.88328i −0.632594 0.0808195i
\(544\) 1.67180 0.965215i 0.0716779 0.0413833i
\(545\) 7.94089 0.340150
\(546\) −16.3875 2.10949i −0.701320 0.0902778i
\(547\) 19.1094 0.817059 0.408529 0.912745i \(-0.366042\pi\)
0.408529 + 0.912745i \(0.366042\pi\)
\(548\) 3.96537 2.28941i 0.169392 0.0977986i
\(549\) 4.34093 16.7115i 0.185266 0.713227i
\(550\) −12.6319 + 21.8791i −0.538625 + 0.932927i
\(551\) −24.7769 + 42.9148i −1.05553 + 1.82823i
\(552\) 11.5061 4.81769i 0.489733 0.205055i
\(553\) 0.138571 + 3.14011i 0.00589263 + 0.133531i
\(554\) 28.5818i 1.21432i
\(555\) −0.795011 + 6.22275i −0.0337463 + 0.264141i
\(556\) 10.7258i 0.454876i
\(557\) 34.7242i 1.47131i −0.677355 0.735657i \(-0.736874\pi\)
0.677355 0.735657i \(-0.263126\pi\)
\(558\) 0.239905 0.243608i 0.0101560 0.0103127i
\(559\) 24.4714 + 15.6388i 1.03503 + 0.661451i
\(560\) 1.58850 1.01303i 0.0671264 0.0428083i
\(561\) 11.3882 14.9597i 0.480811 0.631598i
\(562\) 0.0388820 + 0.0673456i 0.00164014 + 0.00284080i
\(563\) −11.4870 + 19.8960i −0.484118 + 0.838516i −0.999834 0.0182434i \(-0.994193\pi\)
0.515716 + 0.856760i \(0.327526\pi\)
\(564\) 8.89440 3.72415i 0.374522 0.156815i
\(565\) 13.5454i 0.569859i
\(566\) 6.18825 + 10.7184i 0.260112 + 0.450527i
\(567\) −23.7697 + 1.41400i −0.998235 + 0.0593825i
\(568\) −3.44785 5.97185i −0.144668 0.250573i
\(569\) −40.4012 + 23.3256i −1.69371 + 0.977862i −0.742228 + 0.670147i \(0.766231\pi\)
−0.951479 + 0.307715i \(0.900436\pi\)
\(570\) −0.867490 + 6.79006i −0.0363352 + 0.284404i
\(571\) −18.4063 31.8806i −0.770279 1.33416i −0.937410 0.348228i \(-0.886783\pi\)
0.167130 0.985935i \(-0.446550\pi\)
\(572\) 20.2535 + 0.913072i 0.846842 + 0.0381774i
\(573\) −16.2987 2.08230i −0.680888 0.0869895i
\(574\) −3.00969 4.71940i −0.125622 0.196984i
\(575\) −28.0224 16.1787i −1.16861 0.674699i
\(576\) 2.90364 + 0.754242i 0.120985 + 0.0314268i
\(577\) −8.25747 + 4.76745i −0.343763 + 0.198472i −0.661935 0.749561i \(-0.730264\pi\)
0.318172 + 0.948033i \(0.396931\pi\)
\(578\) −11.4951 6.63672i −0.478135 0.276051i
\(579\) 2.82195 22.0881i 0.117276 0.917949i
\(580\) 6.35807i 0.264004i
\(581\) 39.8135 25.3902i 1.65174 1.05336i
\(582\) 12.0563 + 9.17799i 0.499750 + 0.380440i
\(583\) −6.30022 10.9123i −0.260929 0.451942i
\(584\) 4.93438 + 8.54660i 0.204186 + 0.353661i
\(585\) 2.27030 7.36031i 0.0938654 0.304311i
\(586\) −17.2750 9.97370i −0.713622 0.412010i
\(587\) −15.6323 + 27.0760i −0.645216 + 1.11755i 0.339036 + 0.940774i \(0.389899\pi\)
−0.984252 + 0.176773i \(0.943434\pi\)
\(588\) 10.7276 5.64957i 0.442401 0.232985i
\(589\) −0.316260 0.547778i −0.0130313 0.0225708i
\(590\) 3.26817 + 1.88688i 0.134548 + 0.0776816i
\(591\) −3.59271 + 4.71941i −0.147784 + 0.194131i
\(592\) 2.54313 4.40483i 0.104522 0.181038i
\(593\) −2.94182 + 5.09538i −0.120806 + 0.209242i −0.920086 0.391717i \(-0.871881\pi\)
0.799280 + 0.600959i \(0.205215\pi\)
\(594\) 28.9224 4.14624i 1.18670 0.170122i
\(595\) 3.22683 + 1.67786i 0.132287 + 0.0687858i
\(596\) −19.1421 11.0517i −0.784090 0.452695i
\(597\) −3.91802 + 5.14675i −0.160354 + 0.210642i
\(598\) −1.16945 + 25.9404i −0.0478223 + 1.06078i
\(599\) −9.70494 + 5.60315i −0.396533 + 0.228938i −0.684987 0.728555i \(-0.740192\pi\)
0.288454 + 0.957494i \(0.406859\pi\)
\(600\) −3.00554 7.17814i −0.122701 0.293046i
\(601\) 20.8089 + 12.0140i 0.848812 + 0.490062i 0.860250 0.509873i \(-0.170307\pi\)
−0.0114376 + 0.999935i \(0.503641\pi\)
\(602\) −21.2901 + 0.939514i −0.867718 + 0.0382917i
\(603\) 10.2791 + 2.67008i 0.418599 + 0.108734i
\(604\) 2.92459 0.119000
\(605\) −7.34112 + 12.7152i −0.298459 + 0.516946i
\(606\) 9.26290 + 22.1226i 0.376280 + 0.898671i
\(607\) 5.27283i 0.214018i 0.994258 + 0.107009i \(0.0341273\pi\)
−0.994258 + 0.107009i \(0.965873\pi\)
\(608\) 2.77498 4.80641i 0.112540 0.194926i
\(609\) −3.39093 + 40.7755i −0.137407 + 1.65231i
\(610\) −4.09836 −0.165938
\(611\) −0.904000 + 20.0523i −0.0365719 + 0.811229i
\(612\) 1.54169 + 5.58231i 0.0623192 + 0.225652i
\(613\) −32.9769 −1.33192 −0.665962 0.745986i \(-0.731979\pi\)
−0.665962 + 0.745986i \(0.731979\pi\)
\(614\) 7.94777 + 13.7659i 0.320746 + 0.555548i
\(615\) 2.40691 1.00779i 0.0970560 0.0406380i
\(616\) −12.5435 + 7.99933i −0.505392 + 0.322302i
\(617\) 28.6611 16.5475i 1.15385 0.666177i 0.204029 0.978965i \(-0.434596\pi\)
0.949823 + 0.312788i \(0.101263\pi\)
\(618\) −3.10524 + 24.3055i −0.124911 + 0.977711i
\(619\) 22.9948 13.2760i 0.924238 0.533609i 0.0392534 0.999229i \(-0.487502\pi\)
0.884985 + 0.465620i \(0.154169\pi\)
\(620\) −0.0702834 0.0405782i −0.00282265 0.00162966i
\(621\) 5.31044 + 37.0433i 0.213100 + 1.48650i
\(622\) −0.474572 0.273994i −0.0190286 0.0109862i
\(623\) −27.1611 14.1230i −1.08819 0.565828i
\(624\) −4.00266 + 4.79361i −0.160235 + 0.191898i
\(625\) −8.82546 + 15.2862i −0.353019 + 0.611446i
\(626\) 21.4517 0.857382
\(627\) 6.85008 53.6173i 0.273566 2.14127i
\(628\) 1.26443i 0.0504563i
\(629\) 9.81868 0.391496
\(630\) 1.74336 + 5.37650i 0.0694571 + 0.214205i
\(631\) −15.2708 26.4498i −0.607921 1.05295i −0.991582 0.129477i \(-0.958670\pi\)
0.383661 0.923474i \(-0.374663\pi\)
\(632\) 1.02884 + 0.594003i 0.0409252 + 0.0236282i
\(633\) −11.4916 8.74812i −0.456751 0.347706i
\(634\) 8.13638 0.323137
\(635\) 5.06419 + 8.77143i 0.200966 + 0.348084i
\(636\) 3.85001 + 0.491872i 0.152663 + 0.0195040i
\(637\) 1.08871 + 25.2154i 0.0431362 + 0.999069i
\(638\) 50.2061i 1.98768i
\(639\) 19.9406 5.50708i 0.788838 0.217857i
\(640\) 0.712096i 0.0281481i
\(641\) 15.4187 + 8.90201i 0.609003 + 0.351608i 0.772575 0.634923i \(-0.218968\pi\)
−0.163572 + 0.986531i \(0.552302\pi\)
\(642\) 2.89562 + 2.20432i 0.114281 + 0.0869977i
\(643\) 2.67987 1.54722i 0.105684 0.0610165i −0.446226 0.894920i \(-0.647232\pi\)
0.551910 + 0.833904i \(0.313899\pi\)
\(644\) −10.2454 16.0655i −0.403726 0.633070i
\(645\) 1.25900 9.85447i 0.0495729 0.388019i
\(646\) 10.7138 0.421530
\(647\) 24.7924 0.974691 0.487345 0.873209i \(-0.337965\pi\)
0.487345 + 0.873209i \(0.337965\pi\)
\(648\) −4.38009 + 7.86224i −0.172066 + 0.308858i
\(649\) −25.8069 14.8996i −1.01301 0.584861i
\(650\) 16.1830 + 0.729565i 0.634750 + 0.0286159i
\(651\) −0.429100 0.297720i −0.0168178 0.0116686i
\(652\) −0.127711 + 0.221201i −0.00500154 + 0.00866292i
\(653\) 9.80033 5.65822i 0.383517 0.221423i −0.295831 0.955240i \(-0.595596\pi\)
0.679347 + 0.733817i \(0.262263\pi\)
\(654\) 11.6994 15.3684i 0.457482 0.600952i
\(655\) 0.0663262 + 0.114880i 0.00259158 + 0.00448875i
\(656\) −2.11562 −0.0826012
\(657\) −28.5379 + 7.88145i −1.11337 + 0.307485i
\(658\) −7.91985 12.4189i −0.308748 0.484138i
\(659\) 4.74253 2.73810i 0.184743 0.106661i −0.404776 0.914416i \(-0.632651\pi\)
0.589519 + 0.807754i \(0.299317\pi\)
\(660\) −2.67856 6.39722i −0.104263 0.249011i
\(661\) 32.3945i 1.26000i −0.776596 0.629999i \(-0.783055\pi\)
0.776596 0.629999i \(-0.216945\pi\)
\(662\) 10.3467 5.97368i 0.402136 0.232173i
\(663\) −11.8774 2.06479i −0.461280 0.0801899i
\(664\) 17.8477i 0.692625i
\(665\) 10.4461 0.460979i 0.405083 0.0178760i
\(666\) 10.8719 + 10.7066i 0.421278 + 0.414874i
\(667\) 64.3031 2.48983
\(668\) −7.20942 12.4871i −0.278941 0.483140i
\(669\) 8.75232 11.4971i 0.338384 0.444505i
\(670\) 2.52088i 0.0973901i
\(671\) 32.3624 1.24934
\(672\) 0.379780 4.56681i 0.0146503 0.176169i
\(673\) −24.7381 + 42.8476i −0.953584 + 1.65166i −0.216007 + 0.976392i \(0.569303\pi\)
−0.737577 + 0.675263i \(0.764030\pi\)
\(674\) −13.9096 + 8.03070i −0.535777 + 0.309331i
\(675\) 23.1096 3.31294i 0.889490 0.127515i
\(676\) −5.46059 11.7975i −0.210023 0.453752i
\(677\) 6.94762 12.0336i 0.267019 0.462490i −0.701072 0.713091i \(-0.747295\pi\)
0.968091 + 0.250601i \(0.0806281\pi\)
\(678\) 26.2151 + 19.9565i 1.00678 + 0.766426i
\(679\) 10.6778 20.5352i 0.409775 0.788070i
\(680\) 1.19048 0.687326i 0.0456529 0.0263577i
\(681\) 15.9779 + 12.1634i 0.612275 + 0.466101i
\(682\) 0.554989 + 0.320423i 0.0212516 + 0.0122696i
\(683\) 16.5540 + 9.55744i 0.633420 + 0.365705i 0.782075 0.623184i \(-0.214161\pi\)
−0.148655 + 0.988889i \(0.547495\pi\)
\(684\) 11.8631 + 11.6827i 0.453596 + 0.446701i
\(685\) 2.82372 1.63028i 0.107889 0.0622897i
\(686\) −11.2950 14.6773i −0.431246 0.560381i
\(687\) 10.6799 14.0292i 0.407462 0.535247i
\(688\) −4.02736 + 6.97559i −0.153542 + 0.265942i
\(689\) −4.35081 + 6.80807i −0.165753 + 0.259367i
\(690\) 8.19346 3.43066i 0.311920 0.130603i
\(691\) −1.75974 + 1.01598i −0.0669435 + 0.0386498i −0.533098 0.846053i \(-0.678972\pi\)
0.466155 + 0.884703i \(0.345639\pi\)
\(692\) 4.28885 7.42851i 0.163038 0.282390i
\(693\) −13.7663 42.4552i −0.522940 1.61274i
\(694\) −9.20243 −0.349320
\(695\) 7.63782i 0.289719i
\(696\) 12.3051 + 9.36739i 0.466423 + 0.355070i
\(697\) −2.04203 3.53690i −0.0773474 0.133970i
\(698\) −31.9487 −1.20928
\(699\) 8.46043 11.1137i 0.320003 0.420359i
\(700\) −10.0225 + 6.39165i −0.378816 + 0.241581i
\(701\) 32.3984i 1.22367i −0.790985 0.611836i \(-0.790431\pi\)
0.790985 0.611836i \(-0.209569\pi\)
\(702\) −10.8999 15.2378i −0.411391 0.575115i
\(703\) 24.4467 14.1143i 0.922024 0.532331i
\(704\) 5.62302i 0.211926i
\(705\) 6.33366 2.65195i 0.238540 0.0998782i
\(706\) −23.6451 + 13.6515i −0.889897 + 0.513782i
\(707\) 30.8889 19.6987i 1.16170 0.740846i
\(708\) 8.46680 3.54511i 0.318202 0.133233i
\(709\) −12.1765 −0.457298 −0.228649 0.973509i \(-0.573431\pi\)
−0.228649 + 0.973509i \(0.573431\pi\)
\(710\) −2.45520 4.25253i −0.0921419 0.159594i
\(711\) −2.50077 + 2.53937i −0.0937861 + 0.0952337i
\(712\) −10.0206 + 5.78541i −0.375539 + 0.216817i
\(713\) −0.410393 + 0.710821i −0.0153693 + 0.0266205i
\(714\) 8.00137 3.77304i 0.299444 0.141202i
\(715\) 14.4224 + 0.650194i 0.539369 + 0.0243159i
\(716\) 15.9820 + 9.22719i 0.597274 + 0.344836i
\(717\) 6.64489 + 0.848943i 0.248158 + 0.0317044i
\(718\) −4.22414 −0.157644
\(719\) 4.18697 0.156148 0.0780738 0.996948i \(-0.475123\pi\)
0.0780738 + 0.996948i \(0.475123\pi\)
\(720\) 2.06767 + 0.537093i 0.0770575 + 0.0200163i
\(721\) 37.3926 1.65011i 1.39258 0.0614533i
\(722\) 10.2209 5.90106i 0.380384 0.219615i
\(723\) −9.71113 + 12.7566i −0.361161 + 0.474424i
\(724\) 7.43037 + 4.28993i 0.276148 + 0.159434i
\(725\) 40.1158i 1.48986i
\(726\) 13.7926 + 32.9410i 0.511893 + 1.22256i
\(727\) 1.11253i 0.0412613i −0.999787 0.0206306i \(-0.993433\pi\)
0.999787 0.0206306i \(-0.00656740\pi\)
\(728\) 8.25682 + 4.77755i 0.306018 + 0.177068i
\(729\) −19.5254 18.6482i −0.723165 0.690676i
\(730\) 3.51375 + 6.08599i 0.130050 + 0.225253i
\(731\) −15.5491 −0.575103
\(732\) −6.03814 + 7.93177i −0.223176 + 0.293167i
\(733\) 5.06046 + 2.92166i 0.186912 + 0.107914i 0.590536 0.807011i \(-0.298916\pi\)
−0.403624 + 0.914925i \(0.632250\pi\)
\(734\) 13.5744 + 23.5115i 0.501039 + 0.867825i
\(735\) 7.63911 4.02304i 0.281773 0.148392i
\(736\) −7.20187 −0.265465
\(737\) 19.9060i 0.733246i
\(738\) 1.59569 6.14300i 0.0587382 0.226127i
\(739\) 15.9445 0.586527 0.293263 0.956032i \(-0.405259\pi\)
0.293263 + 0.956032i \(0.405259\pi\)
\(740\) 1.81095 3.13666i 0.0665720 0.115306i
\(741\) −32.5406 + 11.9327i −1.19541 + 0.438360i
\(742\) −0.261378 5.92302i −0.00959550 0.217441i
\(743\) −36.9217 21.3167i −1.35452 0.782035i −0.365645 0.930754i \(-0.619152\pi\)
−0.988879 + 0.148719i \(0.952485\pi\)
\(744\) −0.182082 + 0.0762391i −0.00667546 + 0.00279506i
\(745\) −13.6310 7.86985i −0.499401 0.288329i
\(746\) −22.2681 + 12.8565i −0.815292 + 0.470709i
\(747\) 51.8233 + 13.4615i 1.89611 + 0.492530i
\(748\) −9.40057 + 5.42742i −0.343719 + 0.198446i
\(749\) 2.56453 4.93204i 0.0937059 0.180213i
\(750\) −4.52201 10.7999i −0.165121 0.394358i
\(751\) −0.303919 0.526403i −0.0110902 0.0192087i 0.860427 0.509574i \(-0.170197\pi\)
−0.871517 + 0.490365i \(0.836864\pi\)
\(752\) −5.56715 −0.203013
\(753\) 34.1429 14.2959i 1.24424 0.520970i
\(754\) −28.5764 + 14.8244i −1.04069 + 0.539875i
\(755\) 2.08259 0.0757931
\(756\) 12.9739 + 4.54723i 0.471857 + 0.165381i
\(757\) 4.47273 7.74699i 0.162564 0.281569i −0.773224 0.634134i \(-0.781357\pi\)
0.935788 + 0.352564i \(0.114690\pi\)
\(758\) 19.0141i 0.690625i
\(759\) −64.6991 + 27.0900i −2.34843 + 0.983304i
\(760\) 1.97605 3.42262i 0.0716790 0.124152i
\(761\) −25.0833 −0.909267 −0.454634 0.890678i \(-0.650230\pi\)
−0.454634 + 0.890678i \(0.650230\pi\)
\(762\) 24.4369 + 3.12203i 0.885256 + 0.113099i
\(763\) −26.1767 13.6112i −0.947659 0.492757i
\(764\) 8.21559 + 4.74328i 0.297230 + 0.171606i
\(765\) 1.09783 + 3.97514i 0.0396922 + 0.143722i
\(766\) −16.7700 + 9.68215i −0.605924 + 0.349830i
\(767\) −0.860540 + 19.0883i −0.0310723 + 0.689237i
\(768\) −1.37816 1.04914i −0.0497299 0.0378574i
\(769\) −35.1370 20.2863i −1.26707 0.731544i −0.292639 0.956223i \(-0.594533\pi\)
−0.974433 + 0.224679i \(0.927867\pi\)
\(770\) −8.93217 + 5.69629i −0.321893 + 0.205280i
\(771\) 35.8105 14.9941i 1.28968 0.540000i
\(772\) −6.42811 + 11.1338i −0.231353 + 0.400715i
\(773\) −24.2640 + 42.0265i −0.872716 + 1.51159i −0.0135402 + 0.999908i \(0.504310\pi\)
−0.859176 + 0.511680i \(0.829023\pi\)
\(774\) −17.2170 16.9553i −0.618852 0.609445i
\(775\) 0.443449 + 0.256025i 0.0159291 + 0.00919670i