Properties

Label 546.2.u.a.185.9
Level $546$
Weight $2$
Character 546.185
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 185.9
Character \(\chi\) \(=\) 546.185
Dual form 546.2.u.a.425.9

$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

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

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 0.934591 0.355724i \(-0.115766\pi\)
−0.775362 + 0.631518i \(0.782432\pi\)
\(6\) −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 \(0.322014\pi\)
−0.530473 + 0.847702i \(0.677986\pi\)
\(12\) 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 0.959010 0.283371i \(-0.0914527\pi\)
−0.724911 + 0.688842i \(0.758119\pi\)
\(18\) 2.89175 + 0.798626i 0.681591 + 0.188238i
\(19\) 5.54996i 1.27325i 0.771174 + 0.636625i \(0.219670\pi\)
−0.771174 + 0.636625i \(0.780330\pi\)
\(20\) −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 −0.320015 0.947412i \(-0.603688\pi\)
−0.980491 + 0.196565i \(0.937021\pi\)
\(24\) −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 −0.997560 0.0698128i \(-0.977760\pi\)
−0.438320 + 0.898819i \(0.644426\pi\)
\(30\) −1.22344 + 0.156306i −0.223369 + 0.0285374i
\(31\) 0.0986994 + 0.0569841i 0.0177269 + 0.0102347i 0.508837 0.860863i \(-0.330075\pi\)
−0.491110 + 0.871097i \(0.663409\pi\)
\(32\) 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 −0.577659 0.816278i \(-0.696034\pi\)
0.995747 + 0.0921282i \(0.0293670\pi\)
\(38\) 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 0.936727 0.350060i \(-0.113839\pi\)
−0.771525 + 0.636199i \(0.780506\pi\)
\(42\) 3.76508 2.61230i 0.580965 0.403087i
\(43\) −4.02736 + 6.97559i −0.614166 + 1.06377i 0.376364 + 0.926472i \(0.377174\pi\)
−0.990530 + 0.137295i \(0.956159\pi\)
\(44\) −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 0.994440 0.105301i \(-0.0335808\pi\)
−0.588414 + 0.808560i \(0.700247\pi\)
\(48\) 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 0.627327 0.778756i \(-0.284149\pi\)
−0.360759 + 0.932659i \(0.617482\pi\)
\(54\) 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 0.985348 0.170555i \(-0.0545562\pi\)
−0.640379 + 0.768059i \(0.721223\pi\)
\(60\) 1.13768 + 0.476356i 0.146874 + 0.0614973i
\(61\) 5.75535i 0.736897i −0.929648 0.368448i \(-0.879889\pi\)
0.929648 0.368448i \(-0.120111\pi\)
\(62\) −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 0.101862 0.994799i \(-0.467520\pi\)
−0.810590 + 0.585614i \(0.800853\pi\)
\(72\) 0.754242 + 2.90364i 0.0888883 + 0.342197i
\(73\) 8.54660 + 4.93438i 1.00030 + 0.577525i 0.908338 0.418237i \(-0.137352\pi\)
0.0919654 + 0.995762i \(0.470685\pi\)
\(74\) −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 0.897505 0.441005i \(-0.145378\pi\)
−0.830674 + 0.556759i \(0.812045\pi\)
\(80\) −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 −0.377437 0.926035i \(-0.623194\pi\)
0.990689 0.136148i \(-0.0434723\pi\)
\(90\) 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 0.0633648 0.997990i \(-0.479817\pi\)
−0.832603 + 0.553871i \(0.813150\pi\)
\(98\) 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 −0.962142 0.272549i \(-0.912133\pi\)
−0.245037 + 0.969514i \(0.578800\pi\)
\(104\) −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 0.409461 0.912327i \(-0.365717\pi\)
−0.585368 + 0.810768i \(0.699050\pi\)
\(108\) −3.21036 + 4.08578i −0.308917 + 0.393154i
\(109\) 5.57572 9.65742i 0.534057 0.925013i −0.465152 0.885231i \(-0.654000\pi\)
0.999208 0.0397824i \(-0.0126665\pi\)
\(110\) 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 −0.998165 0.0605544i \(-0.980713\pi\)
−0.551524 0.834159i \(-0.685954\pi\)
\(114\) −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 −0.987336 0.158645i \(-0.949287\pi\)
0.356277 0.934380i \(-0.384046\pi\)
\(128\) 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 0.861928 0.507031i \(-0.169257\pi\)
−0.870066 + 0.492936i \(0.835924\pi\)
\(132\) 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 −0.320950 0.947096i \(-0.604002\pi\)
0.659734 + 0.751499i \(0.270669\pi\)
\(138\) 9.92530 7.55575i 0.844898 0.643188i
\(139\) 9.28884 + 5.36291i 0.787869 + 0.454876i 0.839212 0.543805i \(-0.183017\pi\)
−0.0513428 + 0.998681i \(0.516350\pi\)
\(140\) 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 \(0.360421\pi\)
−0.424583 + 0.905389i \(0.639579\pi\)
\(150\) 4.71368 + 6.19194i 0.384871 + 0.505570i
\(151\) 1.46229 2.53277i 0.119000 0.206114i −0.800372 0.599504i \(-0.795365\pi\)
0.919372 + 0.393390i \(0.128698\pi\)
\(152\) 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 0.543060 0.839694i \(-0.317266\pi\)
−0.455667 + 0.890150i \(0.650599\pi\)
\(158\) 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 0.997673 + 0.0681793i \(0.0217190\pi\)
−0.439792 + 0.898100i \(0.644948\pi\)
\(168\) 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 \(-0.757755\pi\)
0.724122 0.689672i \(-0.242245\pi\)
\(180\) 0.568698 2.05920i 0.0423883 0.153484i
\(181\) 8.57986i 0.637736i −0.947799 0.318868i \(-0.896697\pi\)
0.947799 0.318868i \(-0.103303\pi\)
\(182\) −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 \(-0.888485\pi\)
0.939258 0.343211i \(-0.111515\pi\)
\(192\) 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 −0.390619 0.920553i \(-0.627739\pi\)
0.601913 + 0.798562i \(0.294406\pi\)
\(198\) −4.49069 + 16.2603i −0.319140 + 1.15557i
\(199\) 3.23419 1.86726i 0.229265 0.132366i −0.380968 0.924588i \(-0.624409\pi\)
0.610233 + 0.792222i \(0.291076\pi\)
\(200\) −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 0.686077 0.727529i \(-0.259331\pi\)
−0.973097 + 0.230396i \(0.925998\pi\)
\(212\) 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 −0.722001 0.691893i \(-0.756777\pi\)
0.238196 + 0.971217i \(0.423444\pi\)
\(224\) −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 0.991735 0.128307i \(-0.0409542\pi\)
−0.606984 + 0.794714i \(0.707621\pi\)
\(228\) 5.82267 + 7.64872i 0.385616 + 0.506549i
\(229\) −8.81586 + 5.08984i −0.582568 + 0.336346i −0.762153 0.647396i \(-0.775858\pi\)
0.179585 + 0.983742i \(0.442524\pi\)
\(230\) −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 −0.711002 0.703190i \(-0.751758\pi\)
0.253479 + 0.967341i \(0.418425\pi\)
\(234\) −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 \(0.0399211\pi\)
−0.992146 + 0.125087i \(0.960079\pi\)
\(240\) 0.156306 + 1.22344i 0.0100895 + 0.0789728i
\(241\) 8.01620 4.62815i 0.516369 0.298126i −0.219079 0.975707i \(-0.570305\pi\)
0.735448 + 0.677582i \(0.236972\pi\)
\(242\) 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 0.302178 + 0.953251i \(0.402286\pi\)
−0.976629 + 0.214932i \(0.931047\pi\)
\(252\) 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 0.269698 + 0.962945i \(0.413076\pi\)
−0.968784 + 0.247907i \(0.920257\pi\)
\(258\) −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 \(-0.844119\pi\)
0.882466 0.470375i \(-0.155881\pi\)
\(264\) −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 0.996054 + 0.0887517i \(0.0282878\pi\)
−0.421166 + 0.906984i \(0.638379\pi\)
\(270\) 3.43454 1.37663i 0.209019 0.0837788i
\(271\) 15.4527 + 8.92161i 0.938683 + 0.541949i 0.889547 0.456843i \(-0.151020\pi\)
0.0491361 + 0.998792i \(0.484353\pi\)
\(272\) −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 0.873210 + 0.487343i \(0.162034\pi\)
−0.0145535 + 0.999894i \(0.504633\pi\)
\(278\) −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 \(0.000738323\pi\)
−0.999997 + 0.00231951i \(0.999262\pi\)
\(282\) −9.56485 + 1.22199i −0.569578 + 0.0727687i
\(283\) 12.3765i 0.735707i 0.929884 + 0.367854i \(0.119907\pi\)
−0.929884 + 0.367854i \(0.880093\pi\)
\(284\) 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 −0.412492 0.910961i \(-0.635341\pi\)
0.995162 0.0982523i \(-0.0313252\pi\)
\(294\) −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 \(0.149862\pi\)
−0.891204 + 0.453603i \(0.850138\pi\)
\(308\) 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 −0.858152 0.513395i \(-0.828388\pi\)
0.873689 + 0.486484i \(0.161721\pi\)
\(312\) 5.86321 + 2.15006i 0.331939 + 0.121723i
\(313\) −18.5777 + 10.7258i −1.05007 + 0.606260i −0.922670 0.385591i \(-0.873998\pi\)
−0.127404 + 0.991851i \(0.540664\pi\)
\(314\) −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 −0.684653 0.728869i \(-0.740046\pi\)
0.288893 + 0.957362i \(0.406713\pi\)
\(318\) −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 −0.270593 0.962694i \(-0.587220\pi\)
0.698421 + 0.715688i \(0.253887\pi\)
\(348\) −5.97283 + 14.2649i −0.320177 + 0.764681i
\(349\) 27.6684 15.9743i 1.48105 0.855087i 0.481285 0.876564i \(-0.340170\pi\)
0.999769 + 0.0214767i \(0.00683677\pi\)
\(350\) 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 −0.400347 0.916363i \(-0.631110\pi\)
0.593420 + 0.804893i \(0.297777\pi\)
\(360\) −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 \(0.250662\pi\)
−0.705634 + 0.708576i \(0.749338\pi\)
\(368\) 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 0.999910 0.0134057i \(-0.00426729\pi\)
−0.511565 + 0.859245i \(0.670934\pi\)
\(380\) −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 −0.363252 0.931691i \(-0.618334\pi\)
−0.988494 + 0.151260i \(0.951667\pi\)
\(390\) 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 \(-0.886459\pi\)
0.937054 0.349184i \(-0.113541\pi\)
\(398\) −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 0.712262 0.701914i \(-0.247671\pi\)
−0.251745 + 0.967794i \(0.581004\pi\)
\(402\) 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 −0.322130 0.946695i \(-0.604399\pi\)
0.658797 + 0.752321i \(0.271066\pi\)
\(410\) 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 −0.997078 0.0763955i \(-0.975659\pi\)
0.432378 0.901692i \(-0.357675\pi\)
\(420\) −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 \(0.0835267\pi\)
−0.965768 + 0.259406i \(0.916473\pi\)
\(432\) −5.14357 0.737369i −0.247470 0.0354767i
\(433\) −4.10756 2.37150i −0.197397 0.113967i 0.398044 0.917366i \(-0.369689\pi\)
−0.595441 + 0.803399i \(0.703022\pi\)
\(434\) −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 0.436646 0.899633i \(-0.356166\pi\)
−0.560782 + 0.827964i \(0.689499\pi\)
\(440\) 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 −0.566443 0.824101i \(-0.691681\pi\)
0.430471 + 0.902604i \(0.358347\pi\)
\(444\) −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 0.488027 0.872828i \(-0.337717\pi\)
−0.511878 + 0.859058i \(0.671050\pi\)
\(450\) 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 0.286657 + 0.958033i \(0.407456\pi\)
−0.973010 + 0.230764i \(0.925877\pi\)
\(458\) 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 0.359494 + 0.933148i \(0.382949\pi\)
−0.987876 + 0.155243i \(0.950384\pi\)
\(462\) 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 0.807733 0.589549i \(-0.200695\pi\)
−0.914431 + 0.404742i \(0.867361\pi\)
\(468\) 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 0.886819 0.462116i \(-0.152910\pi\)
−0.843614 + 0.536950i \(0.819576\pi\)
\(488\) −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 0.320318 0.947310i \(-0.396210\pi\)
0.980554 + 0.196252i \(0.0628769\pi\)
\(492\) 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 0.819044 0.573730i \(-0.194504\pi\)
−0.906387 + 0.422448i \(0.861171\pi\)
\(500\) 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 −0.960723 0.277507i \(-0.910492\pi\)
0.720690 + 0.693257i \(0.243825\pi\)
\(504\) 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 −0.885799 0.464070i \(-0.846389\pi\)
0.844795 + 0.535089i \(0.179722\pi\)
\(510\) −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 −0.747863 0.663853i \(-0.768920\pi\)
0.948845 + 0.315741i \(0.102253\pi\)
\(522\) −25.9256 + 6.73438i −1.13473 + 0.294756i
\(523\) 37.5869 + 21.7008i 1.64356 + 0.948909i 0.979554 + 0.201181i \(0.0644779\pi\)
0.664005 + 0.747728i \(0.268855\pi\)
\(524\) 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 0.997343 0.0728424i \(-0.0232070\pi\)
−0.561755 + 0.827304i \(0.689874\pi\)
\(542\) −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 \(0.263126\pi\)
−0.677355 + 0.735657i \(0.736874\pi\)
\(558\) 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 0.515716 0.856760i \(-0.327526\pi\)
−0.999834 + 0.0182434i \(0.994193\pi\)
\(564\) 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 −0.951479 0.307715i \(-0.900436\pi\)
−0.742228 0.670147i \(-0.766231\pi\)
\(570\) −0.867490 6.79006i −0.0363352 0.284404i
\(571\) −18.4063 + 31.8806i −0.770279 + 1.33416i 0.167130 + 0.985935i \(0.446550\pi\)
−0.937410 + 0.348228i \(0.886783\pi\)
\(572\) 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 0.318172 0.948033i \(-0.396931\pi\)
−0.661935 + 0.749561i \(0.730264\pi\)
\(578\) −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 −0.984252 0.176773i \(-0.943434\pi\)
0.339036 0.940774i \(-0.389899\pi\)
\(588\) 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 0.799280 0.600959i \(-0.205215\pi\)
−0.920086 + 0.391717i \(0.871881\pi\)
\(594\) 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 0.288454 0.957494i \(-0.406859\pi\)
−0.684987 + 0.728555i \(0.740192\pi\)
\(600\) −3.00554 + 7.17814i −0.122701 + 0.293046i
\(601\) 20.8089 12.0140i 0.848812 0.490062i −0.0114376 0.999935i \(-0.503641\pi\)
0.860250 + 0.509873i \(0.170307\pi\)
\(602\) −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 \(-0.965873\pi\)
0.994258 0.107009i \(-0.0341273\pi\)
\(608\) 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 0.949823 0.312788i \(-0.101263\pi\)
0.204029 + 0.978965i \(0.434596\pi\)
\(618\) −3.10524 24.3055i −0.124911 0.977711i
\(619\) 22.9948 + 13.2760i 0.924238 + 0.533609i 0.884985 0.465620i \(-0.154169\pi\)
0.0392534 + 0.999229i \(0.487502\pi\)
\(620\) −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 0.383661 + 0.923474i \(0.374663\pi\)
−0.991582 + 0.129477i \(0.958670\pi\)
\(632\) 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 −0.163572 0.986531i \(-0.552302\pi\)
0.772575 + 0.634923i \(0.218968\pi\)
\(642\) 2.89562 2.20432i 0.114281 0.0869977i
\(643\) 2.67987 + 1.54722i 0.105684 + 0.0610165i 0.551910 0.833904i \(-0.313899\pi\)
−0.446226 + 0.894920i \(0.647232\pi\)
\(644\) −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 0.679347 0.733817i \(-0.262263\pi\)
−0.295831 + 0.955240i \(0.595596\pi\)
\(654\) 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 0.589519 0.807754i \(-0.299317\pi\)
−0.404776 + 0.914416i \(0.632651\pi\)
\(660\) −2.67856 + 6.39722i −0.104263 + 0.249011i
\(661\) 32.3945i 1.26000i 0.776596 + 0.629999i \(0.216945\pi\)
−0.776596 + 0.629999i \(0.783055\pi\)
\(662\) 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 −0.737577 0.675263i \(-0.764030\pi\)
−0.216007 0.976392i \(-0.569303\pi\)
\(674\) −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 0.968091 0.250601i \(-0.0806281\pi\)
−0.701072 + 0.713091i \(0.747295\pi\)
\(678\) 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 −0.148655 0.988889i \(-0.547495\pi\)
0.782075 + 0.623184i \(0.214161\pi\)
\(684\) 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 0.466155 0.884703i \(-0.345639\pi\)
−0.533098 + 0.846053i \(0.678972\pi\)
\(692\) 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 \(0.209569\pi\)
−0.790985 + 0.611836i \(0.790431\pi\)
\(702\) −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 \(0.00656740\pi\)
−0.999787 + 0.0206306i \(0.993433\pi\)
\(728\) 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 −0.403624 0.914925i \(-0.632250\pi\)
0.590536 + 0.807011i \(0.298916\pi\)
\(734\) 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 −0.988879 0.148719i \(-0.952485\pi\)
−0.365645 + 0.930754i \(0.619152\pi\)
\(744\) −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 −0.871517 0.490365i \(-0.836864\pi\)
0.860427 + 0.509574i \(0.170197\pi\)
\(752\) −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 0.935788 0.352564i \(-0.114690\pi\)
−0.773224 + 0.634134i \(0.781357\pi\)
\(758\) 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 −0.974433 0.224679i \(-0.927867\pi\)
−0.292639 + 0.956223i \(0.594533\pi\)
\(770\) −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 −0.859176 0.511680i \(-0.829023\pi\)
−0.0135402 0.999908i \(-0.504310\pi\)
\(774\) −17.2170 + 16.9553i −0.618852 + 0.609445i
\(775\) 0.443449 0.256025i 0.0159291 0.00919670i
\(776\)