Properties

Label 370.2.q.f.103.2
Level $370$
Weight $2$
Character 370.103
Analytic conductor $2.954$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 370 = 2 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 370.q (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 103.2
Character \(\chi\) \(=\) 370.103
Dual form 370.2.q.f.97.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} +(-0.676906 - 2.52625i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(1.00515 + 1.99742i) q^{5} +(1.84934 - 1.84934i) q^{6} +(1.06481 + 3.97392i) q^{7} -1.00000 q^{8} +(-3.32566 + 1.92007i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} +(-0.676906 - 2.52625i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(1.00515 + 1.99742i) q^{5} +(1.84934 - 1.84934i) q^{6} +(1.06481 + 3.97392i) q^{7} -1.00000 q^{8} +(-3.32566 + 1.92007i) q^{9} +(-1.22724 + 1.86919i) q^{10} +1.28194i q^{11} +(2.52625 + 0.676906i) q^{12} +(-0.158198 + 0.274007i) q^{13} +(-2.90911 + 2.90911i) q^{14} +(4.36559 - 3.89132i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(0.887335 - 0.512303i) q^{17} +(-3.32566 - 1.92007i) q^{18} +(2.85215 - 0.764232i) q^{19} +(-2.23239 - 0.128227i) q^{20} +(9.31834 - 5.37994i) q^{21} +(-1.11019 + 0.640968i) q^{22} +9.01738 q^{23} +(0.676906 + 2.52625i) q^{24} +(-2.97936 + 4.01540i) q^{25} -0.316396 q^{26} +(1.55370 + 1.55370i) q^{27} +(-3.97392 - 1.06481i) q^{28} +(-5.62213 + 5.62213i) q^{29} +(5.55277 + 1.83505i) q^{30} +(0.661953 + 0.661953i) q^{31} +(0.500000 - 0.866025i) q^{32} +(3.23849 - 0.867750i) q^{33} +(0.887335 + 0.512303i) q^{34} +(-6.86729 + 6.12124i) q^{35} -3.84014i q^{36} +(3.18573 - 5.18181i) q^{37} +(2.08792 + 2.08792i) q^{38} +(0.799296 + 0.214171i) q^{39} +(-1.00515 - 1.99742i) q^{40} +(-9.70680 - 5.60422i) q^{41} +(9.31834 + 5.37994i) q^{42} +5.24672 q^{43} +(-1.11019 - 0.640968i) q^{44} +(-7.17795 - 4.71278i) q^{45} +(4.50869 + 7.80928i) q^{46} +(2.65016 - 2.65016i) q^{47} +(-1.84934 + 1.84934i) q^{48} +(-8.59605 + 4.96293i) q^{49} +(-4.96712 - 0.572505i) q^{50} +(-1.89485 - 1.89485i) q^{51} +(-0.158198 - 0.274007i) q^{52} +(1.83172 - 6.83608i) q^{53} +(-0.568694 + 2.12239i) q^{54} +(-2.56056 + 1.28853i) q^{55} +(-1.06481 - 3.97392i) q^{56} +(-3.86128 - 6.68794i) q^{57} +(-7.67997 - 2.05784i) q^{58} +(2.26214 - 8.44244i) q^{59} +(1.18718 + 5.72637i) q^{60} +(-7.25981 + 1.94526i) q^{61} +(-0.242292 + 0.904244i) q^{62} +(-11.1714 - 11.1714i) q^{63} +1.00000 q^{64} +(-0.706320 - 0.0405706i) q^{65} +(2.37074 + 2.37074i) q^{66} +(-1.39786 + 0.374556i) q^{67} +1.02461i q^{68} +(-6.10392 - 22.7802i) q^{69} +(-8.73480 - 2.88663i) q^{70} +(-3.61602 + 6.26312i) q^{71} +(3.32566 - 1.92007i) q^{72} +(-7.58180 + 7.58180i) q^{73} +(6.08044 + 0.168023i) q^{74} +(12.1606 + 4.80856i) q^{75} +(-0.764232 + 2.85215i) q^{76} +(-5.09431 + 1.36502i) q^{77} +(0.214171 + 0.799296i) q^{78} +(4.64055 - 1.24343i) q^{79} +(1.22724 - 1.86919i) q^{80} +(-2.88688 + 5.00023i) q^{81} -11.2084i q^{82} +(-0.409176 + 1.52707i) q^{83} +10.7599i q^{84} +(1.91518 + 1.25744i) q^{85} +(2.62336 + 4.54379i) q^{86} +(18.0086 + 10.3972i) q^{87} -1.28194i q^{88} +(1.06048 + 0.284155i) q^{89} +(0.492409 - 8.57268i) q^{90} +(-1.25733 - 0.336902i) q^{91} +(-4.50869 + 7.80928i) q^{92} +(1.22418 - 2.12034i) q^{93} +(3.62018 + 0.970024i) q^{94} +(4.39332 + 4.92878i) q^{95} +(-2.52625 - 0.676906i) q^{96} +11.2088i q^{97} +(-8.59605 - 4.96293i) q^{98} +(-2.46140 - 4.26328i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q + 16 q^{2} - 2 q^{3} - 16 q^{4} + 6 q^{5} + 8 q^{6} - 10 q^{7} - 32 q^{8} + 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 32 q + 16 q^{2} - 2 q^{3} - 16 q^{4} + 6 q^{5} + 8 q^{6} - 10 q^{7} - 32 q^{8} + 12 q^{9} + 6 q^{10} + 10 q^{12} + 10 q^{13} - 8 q^{14} - 8 q^{15} - 16 q^{16} - 12 q^{17} + 12 q^{18} + 2 q^{19} - 54 q^{21} + 6 q^{22} + 12 q^{23} + 2 q^{24} - 16 q^{25} + 20 q^{26} + 40 q^{27} + 2 q^{28} + 6 q^{29} + 8 q^{30} - 4 q^{31} + 16 q^{32} + 26 q^{33} - 12 q^{34} - 12 q^{35} + 20 q^{37} - 26 q^{38} - 58 q^{39} - 6 q^{40} + 18 q^{41} - 54 q^{42} - 32 q^{43} + 6 q^{44} + 56 q^{45} + 6 q^{46} + 18 q^{47} - 8 q^{48} - 12 q^{49} - 14 q^{50} - 4 q^{51} + 10 q^{52} - 24 q^{53} + 20 q^{54} - 32 q^{55} + 10 q^{56} + 8 q^{57} + 36 q^{58} + 42 q^{59} + 16 q^{60} - 46 q^{61} - 14 q^{62} + 32 q^{64} - 18 q^{65} + 4 q^{66} + 50 q^{67} - 66 q^{69} + 12 q^{70} - 12 q^{71} - 12 q^{72} - 28 q^{73} + 16 q^{74} - 20 q^{75} - 28 q^{76} + 12 q^{77} - 26 q^{78} + 38 q^{79} - 6 q^{80} + 56 q^{81} - 8 q^{85} - 16 q^{86} + 18 q^{87} + 18 q^{89} + 4 q^{90} + 4 q^{91} - 6 q^{92} + 32 q^{93} + 30 q^{94} + 96 q^{95} - 10 q^{96} - 12 q^{98} - 26 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{7}{12}\right)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 + 0.866025i 0.353553 + 0.612372i
\(3\) −0.676906 2.52625i −0.390812 1.45853i −0.828798 0.559549i \(-0.810975\pi\)
0.437986 0.898982i \(-0.355692\pi\)
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) 1.00515 + 1.99742i 0.449515 + 0.893273i
\(6\) 1.84934 1.84934i 0.754991 0.754991i
\(7\) 1.06481 + 3.97392i 0.402460 + 1.50200i 0.808693 + 0.588231i \(0.200176\pi\)
−0.406233 + 0.913770i \(0.633158\pi\)
\(8\) −1.00000 −0.353553
\(9\) −3.32566 + 1.92007i −1.10855 + 0.640023i
\(10\) −1.22724 + 1.86919i −0.388088 + 0.591090i
\(11\) 1.28194i 0.386518i 0.981148 + 0.193259i \(0.0619058\pi\)
−0.981148 + 0.193259i \(0.938094\pi\)
\(12\) 2.52625 + 0.676906i 0.729265 + 0.195406i
\(13\) −0.158198 + 0.274007i −0.0438763 + 0.0759960i −0.887130 0.461521i \(-0.847304\pi\)
0.843253 + 0.537516i \(0.180637\pi\)
\(14\) −2.90911 + 2.90911i −0.777493 + 0.777493i
\(15\) 4.36559 3.89132i 1.12719 1.00473i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 0.887335 0.512303i 0.215210 0.124252i −0.388520 0.921440i \(-0.627014\pi\)
0.603730 + 0.797188i \(0.293680\pi\)
\(18\) −3.32566 1.92007i −0.783865 0.452564i
\(19\) 2.85215 0.764232i 0.654329 0.175327i 0.0836437 0.996496i \(-0.473344\pi\)
0.570685 + 0.821169i \(0.306678\pi\)
\(20\) −2.23239 0.128227i −0.499177 0.0286724i
\(21\) 9.31834 5.37994i 2.03343 1.17400i
\(22\) −1.11019 + 0.640968i −0.236693 + 0.136655i
\(23\) 9.01738 1.88025 0.940127 0.340824i \(-0.110706\pi\)
0.940127 + 0.340824i \(0.110706\pi\)
\(24\) 0.676906 + 2.52625i 0.138173 + 0.515668i
\(25\) −2.97936 + 4.01540i −0.595872 + 0.803079i
\(26\) −0.316396 −0.0620504
\(27\) 1.55370 + 1.55370i 0.299010 + 0.299010i
\(28\) −3.97392 1.06481i −0.751000 0.201230i
\(29\) −5.62213 + 5.62213i −1.04400 + 1.04400i −0.0450170 + 0.998986i \(0.514334\pi\)
−0.998986 + 0.0450170i \(0.985666\pi\)
\(30\) 5.55277 + 1.83505i 1.01379 + 0.335033i
\(31\) 0.661953 + 0.661953i 0.118890 + 0.118890i 0.764049 0.645159i \(-0.223209\pi\)
−0.645159 + 0.764049i \(0.723209\pi\)
\(32\) 0.500000 0.866025i 0.0883883 0.153093i
\(33\) 3.23849 0.867750i 0.563748 0.151056i
\(34\) 0.887335 + 0.512303i 0.152177 + 0.0878592i
\(35\) −6.86729 + 6.12124i −1.16078 + 1.03468i
\(36\) 3.84014i 0.640023i
\(37\) 3.18573 5.18181i 0.523731 0.851884i
\(38\) 2.08792 + 2.08792i 0.338706 + 0.338706i
\(39\) 0.799296 + 0.214171i 0.127990 + 0.0342948i
\(40\) −1.00515 1.99742i −0.158928 0.315820i
\(41\) −9.70680 5.60422i −1.51595 0.875232i −0.999825 0.0187171i \(-0.994042\pi\)
−0.516122 0.856515i \(-0.672625\pi\)
\(42\) 9.31834 + 5.37994i 1.43785 + 0.830143i
\(43\) 5.24672 0.800117 0.400059 0.916490i \(-0.368990\pi\)
0.400059 + 0.916490i \(0.368990\pi\)
\(44\) −1.11019 0.640968i −0.167367 0.0966295i
\(45\) −7.17795 4.71278i −1.07003 0.702539i
\(46\) 4.50869 + 7.80928i 0.664770 + 1.15142i
\(47\) 2.65016 2.65016i 0.386565 0.386565i −0.486895 0.873460i \(-0.661871\pi\)
0.873460 + 0.486895i \(0.161871\pi\)
\(48\) −1.84934 + 1.84934i −0.266930 + 0.266930i
\(49\) −8.59605 + 4.96293i −1.22801 + 0.708990i
\(50\) −4.96712 0.572505i −0.702456 0.0809645i
\(51\) −1.89485 1.89485i −0.265332 0.265332i
\(52\) −0.158198 0.274007i −0.0219381 0.0379980i
\(53\) 1.83172 6.83608i 0.251606 0.939008i −0.718341 0.695692i \(-0.755098\pi\)
0.969947 0.243316i \(-0.0782353\pi\)
\(54\) −0.568694 + 2.12239i −0.0773894 + 0.288821i
\(55\) −2.56056 + 1.28853i −0.345266 + 0.173746i
\(56\) −1.06481 3.97392i −0.142291 0.531037i
\(57\) −3.86128 6.68794i −0.511439 0.885839i
\(58\) −7.67997 2.05784i −1.00843 0.270208i
\(59\) 2.26214 8.44244i 0.294506 1.09911i −0.647103 0.762403i \(-0.724020\pi\)
0.941609 0.336709i \(-0.109314\pi\)
\(60\) 1.18718 + 5.72637i 0.153265 + 0.739271i
\(61\) −7.25981 + 1.94526i −0.929524 + 0.249065i −0.691652 0.722231i \(-0.743117\pi\)
−0.237872 + 0.971296i \(0.576450\pi\)
\(62\) −0.242292 + 0.904244i −0.0307711 + 0.114839i
\(63\) −11.1714 11.1714i −1.40746 1.40746i
\(64\) 1.00000 0.125000
\(65\) −0.706320 0.0405706i −0.0876082 0.00503216i
\(66\) 2.37074 + 2.37074i 0.291818 + 0.291818i
\(67\) −1.39786 + 0.374556i −0.170776 + 0.0457593i −0.343194 0.939265i \(-0.611509\pi\)
0.172418 + 0.985024i \(0.444842\pi\)
\(68\) 1.02461i 0.124252i
\(69\) −6.10392 22.7802i −0.734826 2.74241i
\(70\) −8.73480 2.88663i −1.04401 0.345018i
\(71\) −3.61602 + 6.26312i −0.429142 + 0.743296i −0.996797 0.0799705i \(-0.974517\pi\)
0.567655 + 0.823266i \(0.307851\pi\)
\(72\) 3.32566 1.92007i 0.391932 0.226282i
\(73\) −7.58180 + 7.58180i −0.887382 + 0.887382i −0.994271 0.106889i \(-0.965911\pi\)
0.106889 + 0.994271i \(0.465911\pi\)
\(74\) 6.08044 + 0.168023i 0.706837 + 0.0195323i
\(75\) 12.1606 + 4.80856i 1.40419 + 0.555245i
\(76\) −0.764232 + 2.85215i −0.0876635 + 0.327165i
\(77\) −5.09431 + 1.36502i −0.580550 + 0.155558i
\(78\) 0.214171 + 0.799296i 0.0242501 + 0.0905025i
\(79\) 4.64055 1.24343i 0.522103 0.139897i 0.0118639 0.999930i \(-0.496224\pi\)
0.510239 + 0.860033i \(0.329557\pi\)
\(80\) 1.22724 1.86919i 0.137210 0.208982i
\(81\) −2.88688 + 5.00023i −0.320765 + 0.555581i
\(82\) 11.2084i 1.23777i
\(83\) −0.409176 + 1.52707i −0.0449129 + 0.167617i −0.984740 0.174034i \(-0.944320\pi\)
0.939827 + 0.341652i \(0.110986\pi\)
\(84\) 10.7599i 1.17400i
\(85\) 1.91518 + 1.25744i 0.207731 + 0.136388i
\(86\) 2.62336 + 4.54379i 0.282884 + 0.489970i
\(87\) 18.0086 + 10.3972i 1.93072 + 1.11470i
\(88\) 1.28194i 0.136655i
\(89\) 1.06048 + 0.284155i 0.112411 + 0.0301203i 0.314586 0.949229i \(-0.398134\pi\)
−0.202175 + 0.979349i \(0.564801\pi\)
\(90\) 0.492409 8.57268i 0.0519045 0.903639i
\(91\) −1.25733 0.336902i −0.131804 0.0353169i
\(92\) −4.50869 + 7.80928i −0.470064 + 0.814174i
\(93\) 1.22418 2.12034i 0.126941 0.219869i
\(94\) 3.62018 + 0.970024i 0.373393 + 0.100050i
\(95\) 4.39332 + 4.92878i 0.450746 + 0.505682i
\(96\) −2.52625 0.676906i −0.257834 0.0690865i
\(97\) 11.2088i 1.13808i 0.822311 + 0.569039i \(0.192684\pi\)
−0.822311 + 0.569039i \(0.807316\pi\)
\(98\) −8.59605 4.96293i −0.868332 0.501332i
\(99\) −2.46140 4.26328i −0.247380 0.428475i
\(100\) −1.98775 4.58790i −0.198775 0.458790i
\(101\) 17.5901i 1.75028i −0.483868 0.875141i \(-0.660769\pi\)
0.483868 0.875141i \(-0.339231\pi\)
\(102\) 0.693562 2.58841i 0.0686729 0.256291i
\(103\) 11.7069i 1.15352i −0.816914 0.576759i \(-0.804317\pi\)
0.816914 0.576759i \(-0.195683\pi\)
\(104\) 0.158198 0.274007i 0.0155126 0.0268686i
\(105\) 20.1123 + 13.2050i 1.96276 + 1.28867i
\(106\) 6.83608 1.83172i 0.663979 0.177913i
\(107\) −2.18387 8.15032i −0.211123 0.787921i −0.987496 0.157647i \(-0.949609\pi\)
0.776373 0.630274i \(-0.217057\pi\)
\(108\) −2.12239 + 0.568694i −0.204227 + 0.0547226i
\(109\) −0.477608 + 1.78246i −0.0457466 + 0.170729i −0.985020 0.172442i \(-0.944834\pi\)
0.939273 + 0.343171i \(0.111501\pi\)
\(110\) −2.39618 1.57325i −0.228467 0.150003i
\(111\) −15.2470 4.54036i −1.44718 0.430952i
\(112\) 2.90911 2.90911i 0.274885 0.274885i
\(113\) 13.0794 7.55141i 1.23041 0.710377i 0.263294 0.964716i \(-0.415191\pi\)
0.967115 + 0.254339i \(0.0818579\pi\)
\(114\) 3.86128 6.68794i 0.361642 0.626383i
\(115\) 9.06379 + 18.0115i 0.845203 + 1.67958i
\(116\) −2.05784 7.67997i −0.191066 0.713067i
\(117\) 1.21501i 0.112327i
\(118\) 8.44244 2.26214i 0.777189 0.208247i
\(119\) 2.98069 + 2.98069i 0.273240 + 0.273240i
\(120\) −4.36559 + 3.89132i −0.398522 + 0.355227i
\(121\) 9.35664 0.850604
\(122\) −5.31455 5.31455i −0.481157 0.481157i
\(123\) −7.58707 + 28.3153i −0.684103 + 2.55311i
\(124\) −0.904244 + 0.242292i −0.0812035 + 0.0217584i
\(125\) −11.0151 1.91497i −0.985222 0.171280i
\(126\) 4.08901 15.2604i 0.364278 1.35950i
\(127\) 10.6556 + 2.85517i 0.945536 + 0.253355i 0.698467 0.715642i \(-0.253866\pi\)
0.247069 + 0.968998i \(0.420533\pi\)
\(128\) 0.500000 + 0.866025i 0.0441942 + 0.0765466i
\(129\) −3.55154 13.2545i −0.312695 1.16700i
\(130\) −0.318025 0.631976i −0.0278926 0.0554280i
\(131\) 5.08374 18.9728i 0.444168 1.65766i −0.273956 0.961742i \(-0.588332\pi\)
0.718124 0.695915i \(-0.245001\pi\)
\(132\) −0.867750 + 3.23849i −0.0755280 + 0.281874i
\(133\) 6.07400 + 10.5205i 0.526682 + 0.912241i
\(134\) −1.02331 1.02331i −0.0884003 0.0884003i
\(135\) −1.54169 + 4.66508i −0.132688 + 0.401506i
\(136\) −0.887335 + 0.512303i −0.0760883 + 0.0439296i
\(137\) −4.87205 + 4.87205i −0.416247 + 0.416247i −0.883908 0.467661i \(-0.845097\pi\)
0.467661 + 0.883908i \(0.345097\pi\)
\(138\) 16.6762 16.6762i 1.41957 1.41957i
\(139\) 2.69637 + 4.67024i 0.228703 + 0.396125i 0.957424 0.288686i \(-0.0932182\pi\)
−0.728721 + 0.684811i \(0.759885\pi\)
\(140\) −1.86750 9.00787i −0.157833 0.761304i
\(141\) −8.48886 4.90105i −0.714891 0.412742i
\(142\) −7.23203 −0.606899
\(143\) −0.351260 0.202800i −0.0293738 0.0169590i
\(144\) 3.32566 + 1.92007i 0.277138 + 0.160006i
\(145\) −16.8808 5.57868i −1.40187 0.463284i
\(146\) −10.3569 2.77513i −0.857146 0.229671i
\(147\) 18.3563 + 18.3563i 1.51400 + 1.51400i
\(148\) 2.89471 + 5.34983i 0.237944 + 0.439753i
\(149\) 19.5916i 1.60500i −0.596650 0.802501i \(-0.703502\pi\)
0.596650 0.802501i \(-0.296498\pi\)
\(150\) 1.91598 + 12.9357i 0.156439 + 1.05620i
\(151\) −7.97563 4.60473i −0.649048 0.374728i 0.139044 0.990286i \(-0.455597\pi\)
−0.788091 + 0.615558i \(0.788931\pi\)
\(152\) −2.85215 + 0.764232i −0.231340 + 0.0619874i
\(153\) −1.96731 + 3.40749i −0.159048 + 0.275479i
\(154\) −3.72929 3.72929i −0.300515 0.300515i
\(155\) −0.656837 + 1.98756i −0.0527584 + 0.159644i
\(156\) −0.585125 + 0.585125i −0.0468475 + 0.0468475i
\(157\) 23.4233 + 6.27626i 1.86939 + 0.500900i 0.999977 + 0.00680694i \(0.00216673\pi\)
0.869409 + 0.494093i \(0.164500\pi\)
\(158\) 3.39712 + 3.39712i 0.270260 + 0.270260i
\(159\) −18.5095 −1.46790
\(160\) 2.23239 + 0.128227i 0.176486 + 0.0101372i
\(161\) 9.60179 + 35.8344i 0.756727 + 2.82414i
\(162\) −5.77376 −0.453630
\(163\) 10.3880 5.99752i 0.813652 0.469762i −0.0345707 0.999402i \(-0.511006\pi\)
0.848222 + 0.529640i \(0.177673\pi\)
\(164\) 9.70680 5.60422i 0.757973 0.437616i
\(165\) 4.98841 + 5.59640i 0.388348 + 0.435679i
\(166\) −1.52707 + 0.409176i −0.118523 + 0.0317582i
\(167\) −13.0807 7.55214i −1.01221 0.584402i −0.100375 0.994950i \(-0.532004\pi\)
−0.911839 + 0.410548i \(0.865338\pi\)
\(168\) −9.31834 + 5.37994i −0.718925 + 0.415072i
\(169\) 6.44995 + 11.1716i 0.496150 + 0.859357i
\(170\) −0.131382 + 2.28732i −0.0100766 + 0.175429i
\(171\) −8.01790 + 8.01790i −0.613144 + 0.613144i
\(172\) −2.62336 + 4.54379i −0.200029 + 0.346461i
\(173\) 5.55587 + 1.48869i 0.422405 + 0.113183i 0.463759 0.885961i \(-0.346500\pi\)
−0.0413538 + 0.999145i \(0.513167\pi\)
\(174\) 20.7945i 1.57643i
\(175\) −19.1293 7.56412i −1.44604 0.571794i
\(176\) 1.11019 0.640968i 0.0836836 0.0483148i
\(177\) −22.8590 −1.71818
\(178\) 0.284155 + 1.06048i 0.0212983 + 0.0794863i
\(179\) −12.3375 + 12.3375i −0.922149 + 0.922149i −0.997181 0.0750320i \(-0.976094\pi\)
0.0750320 + 0.997181i \(0.476094\pi\)
\(180\) 7.67036 3.85990i 0.571715 0.287700i
\(181\) 3.76005 6.51260i 0.279483 0.484078i −0.691774 0.722114i \(-0.743170\pi\)
0.971256 + 0.238036i \(0.0765038\pi\)
\(182\) −0.336902 1.25733i −0.0249728 0.0931998i
\(183\) 9.82843 + 17.0233i 0.726538 + 1.25840i
\(184\) −9.01738 −0.664770
\(185\) 13.5524 + 1.15477i 0.996389 + 0.0849004i
\(186\) 2.44835 0.179522
\(187\) 0.656739 + 1.13751i 0.0480255 + 0.0831826i
\(188\) 0.970024 + 3.62018i 0.0707463 + 0.264029i
\(189\) −4.51989 + 7.82867i −0.328773 + 0.569452i
\(190\) −2.07179 + 6.26912i −0.150303 + 0.454810i
\(191\) −15.3950 + 15.3950i −1.11394 + 1.11394i −0.121331 + 0.992612i \(0.538716\pi\)
−0.992612 + 0.121331i \(0.961284\pi\)
\(192\) −0.676906 2.52625i −0.0488515 0.182316i
\(193\) −11.5000 −0.827787 −0.413894 0.910325i \(-0.635831\pi\)
−0.413894 + 0.910325i \(0.635831\pi\)
\(194\) −9.70707 + 5.60438i −0.696927 + 0.402371i
\(195\) 0.375621 + 1.81180i 0.0268988 + 0.129746i
\(196\) 9.92586i 0.708990i
\(197\) −7.07040 1.89451i −0.503745 0.134978i −0.00200770 0.999998i \(-0.500639\pi\)
−0.501738 + 0.865020i \(0.667306\pi\)
\(198\) 2.46140 4.26328i 0.174924 0.302978i
\(199\) 12.1172 12.1172i 0.858964 0.858964i −0.132252 0.991216i \(-0.542221\pi\)
0.991216 + 0.132252i \(0.0422209\pi\)
\(200\) 2.97936 4.01540i 0.210673 0.283931i
\(201\) 1.89245 + 3.27781i 0.133483 + 0.231199i
\(202\) 15.2335 8.79506i 1.07182 0.618818i
\(203\) −28.3284 16.3554i −1.98826 1.14792i
\(204\) 2.58841 0.693562i 0.181225 0.0485591i
\(205\) 1.43723 25.0216i 0.100380 1.74758i
\(206\) 10.1385 5.85347i 0.706383 0.407830i
\(207\) −29.9887 + 17.3140i −2.08436 + 1.20341i
\(208\) 0.316396 0.0219381
\(209\) 0.979697 + 3.65628i 0.0677670 + 0.252910i
\(210\) −1.37971 + 24.0203i −0.0952090 + 1.65755i
\(211\) −13.3691 −0.920364 −0.460182 0.887825i \(-0.652216\pi\)
−0.460182 + 0.887825i \(0.652216\pi\)
\(212\) 5.00436 + 5.00436i 0.343701 + 0.343701i
\(213\) 18.2699 + 4.89541i 1.25183 + 0.335428i
\(214\) 5.96645 5.96645i 0.407858 0.407858i
\(215\) 5.27372 + 10.4799i 0.359665 + 0.714723i
\(216\) −1.55370 1.55370i −0.105716 0.105716i
\(217\) −1.92569 + 3.33540i −0.130725 + 0.226422i
\(218\) −1.78246 + 0.477608i −0.120723 + 0.0323477i
\(219\) 24.2857 + 14.0213i 1.64107 + 0.947474i
\(220\) 0.164379 2.86178i 0.0110824 0.192941i
\(221\) 0.324182i 0.0218068i
\(222\) −3.69142 15.4744i −0.247752 1.03858i
\(223\) −1.68532 1.68532i −0.112857 0.112857i 0.648423 0.761280i \(-0.275429\pi\)
−0.761280 + 0.648423i \(0.775429\pi\)
\(224\) 3.97392 + 1.06481i 0.265519 + 0.0711455i
\(225\) 2.19850 19.0744i 0.146567 1.27163i
\(226\) 13.0794 + 7.55141i 0.870030 + 0.502312i
\(227\) −13.9524 8.05545i −0.926057 0.534659i −0.0404943 0.999180i \(-0.512893\pi\)
−0.885562 + 0.464521i \(0.846227\pi\)
\(228\) 7.72257 0.511439
\(229\) 15.8140 + 9.13024i 1.04502 + 0.603343i 0.921251 0.388968i \(-0.127168\pi\)
0.123770 + 0.992311i \(0.460502\pi\)
\(230\) −11.0665 + 16.8552i −0.729704 + 1.11140i
\(231\) 6.89674 + 11.9455i 0.453772 + 0.785957i
\(232\) 5.62213 5.62213i 0.369111 0.369111i
\(233\) 16.8682 16.8682i 1.10507 1.10507i 0.111286 0.993788i \(-0.464503\pi\)
0.993788 0.111286i \(-0.0354971\pi\)
\(234\) 1.05223 0.607503i 0.0687861 0.0397137i
\(235\) 7.95726 + 2.62968i 0.519075 + 0.171541i
\(236\) 6.18029 + 6.18029i 0.402303 + 0.402303i
\(237\) −6.28244 10.8815i −0.408088 0.706830i
\(238\) −1.09101 + 4.07170i −0.0707196 + 0.263929i
\(239\) −0.850999 + 3.17597i −0.0550465 + 0.205436i −0.987972 0.154633i \(-0.950580\pi\)
0.932925 + 0.360070i \(0.117247\pi\)
\(240\) −5.55277 1.83505i −0.358430 0.118452i
\(241\) −0.114824 0.428531i −0.00739649 0.0276041i 0.962129 0.272595i \(-0.0878818\pi\)
−0.969525 + 0.244991i \(0.921215\pi\)
\(242\) 4.67832 + 8.10309i 0.300734 + 0.520886i
\(243\) 20.9531 + 5.61438i 1.34414 + 0.360162i
\(244\) 1.94526 7.25981i 0.124533 0.464762i
\(245\) −18.5533 12.1814i −1.18533 0.778243i
\(246\) −28.3153 + 7.58707i −1.80532 + 0.483734i
\(247\) −0.241800 + 0.902411i −0.0153854 + 0.0574191i
\(248\) −0.661953 0.661953i −0.0420340 0.0420340i
\(249\) 4.13472 0.262027
\(250\) −3.84915 10.4969i −0.243441 0.663880i
\(251\) 15.7017 + 15.7017i 0.991081 + 0.991081i 0.999961 0.00887934i \(-0.00282642\pi\)
−0.00887934 + 0.999961i \(0.502826\pi\)
\(252\) 15.2604 4.08901i 0.961315 0.257583i
\(253\) 11.5597i 0.726752i
\(254\) 2.85517 + 10.6556i 0.179149 + 0.668595i
\(255\) 1.88020 5.68940i 0.117743 0.356284i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 14.5578 8.40494i 0.908089 0.524286i 0.0282735 0.999600i \(-0.490999\pi\)
0.879816 + 0.475315i \(0.157666\pi\)
\(258\) 9.70298 9.70298i 0.604081 0.604081i
\(259\) 23.9843 + 7.14222i 1.49031 + 0.443796i
\(260\) 0.388295 0.591405i 0.0240810 0.0366774i
\(261\) 7.90239 29.4921i 0.489146 1.82552i
\(262\) 18.9728 5.08374i 1.17214 0.314074i
\(263\) −1.50086 5.60128i −0.0925470 0.345390i 0.904089 0.427344i \(-0.140551\pi\)
−0.996636 + 0.0819539i \(0.973884\pi\)
\(264\) −3.23849 + 0.867750i −0.199315 + 0.0534063i
\(265\) 15.4957 3.21255i 0.951891 0.197345i
\(266\) −6.07400 + 10.5205i −0.372421 + 0.645052i
\(267\) 2.87138i 0.175726i
\(268\) 0.374556 1.39786i 0.0228797 0.0853881i
\(269\) 20.6435i 1.25866i −0.777139 0.629329i \(-0.783330\pi\)
0.777139 0.629329i \(-0.216670\pi\)
\(270\) −4.81093 + 0.997397i −0.292784 + 0.0606996i
\(271\) 2.00895 + 3.47961i 0.122035 + 0.211371i 0.920570 0.390577i \(-0.127725\pi\)
−0.798535 + 0.601948i \(0.794391\pi\)
\(272\) −0.887335 0.512303i −0.0538026 0.0310629i
\(273\) 3.40439i 0.206043i
\(274\) −6.65534 1.78329i −0.402064 0.107733i
\(275\) −5.14748 3.81935i −0.310405 0.230315i
\(276\) 22.7802 + 6.10392i 1.37120 + 0.367413i
\(277\) −9.64325 + 16.7026i −0.579407 + 1.00356i 0.416141 + 0.909300i \(0.363382\pi\)
−0.995547 + 0.0942619i \(0.969951\pi\)
\(278\) −2.69637 + 4.67024i −0.161717 + 0.280103i
\(279\) −3.47242 0.930432i −0.207888 0.0557035i
\(280\) 6.86729 6.12124i 0.410399 0.365814i
\(281\) −17.9274 4.80363i −1.06946 0.286561i −0.319188 0.947691i \(-0.603410\pi\)
−0.750271 + 0.661131i \(0.770077\pi\)
\(282\) 9.80209i 0.583706i
\(283\) −20.8688 12.0486i −1.24052 0.716216i −0.271322 0.962489i \(-0.587461\pi\)
−0.969201 + 0.246273i \(0.920794\pi\)
\(284\) −3.61602 6.26312i −0.214571 0.371648i
\(285\) 9.47746 14.4350i 0.561396 0.855053i
\(286\) 0.405600i 0.0239836i
\(287\) 11.9348 44.5415i 0.704492 2.62920i
\(288\) 3.84014i 0.226282i
\(289\) −7.97509 + 13.8133i −0.469123 + 0.812545i
\(290\) −3.60912 17.4086i −0.211935 1.02227i
\(291\) 28.3161 7.58728i 1.65992 0.444774i
\(292\) −2.77513 10.3569i −0.162402 0.606093i
\(293\) 8.37202 2.24328i 0.489099 0.131054i −0.00583742 0.999983i \(-0.501858\pi\)
0.494936 + 0.868929i \(0.335191\pi\)
\(294\) −6.71888 + 25.0752i −0.391853 + 1.46242i
\(295\) 19.1369 3.96744i 1.11419 0.230993i
\(296\) −3.18573 + 5.18181i −0.185167 + 0.301186i
\(297\) −1.99174 + 1.99174i −0.115573 + 0.115573i
\(298\) 16.9668 9.79578i 0.982860 0.567454i
\(299\) −1.42653 + 2.47083i −0.0824986 + 0.142892i
\(300\) −10.2447 + 8.12714i −0.591476 + 0.469221i
\(301\) 5.58675 + 20.8500i 0.322015 + 1.20178i
\(302\) 9.20947i 0.529945i
\(303\) −44.4370 + 11.9069i −2.55284 + 0.684031i
\(304\) −2.08792 2.08792i −0.119751 0.119751i
\(305\) −11.1827 12.5456i −0.640318 0.718360i
\(306\) −3.93463 −0.224928
\(307\) −1.09942 1.09942i −0.0627473 0.0627473i 0.675037 0.737784i \(-0.264128\pi\)
−0.737784 + 0.675037i \(0.764128\pi\)
\(308\) 1.36502 5.09431i 0.0777790 0.290275i
\(309\) −29.5746 + 7.92450i −1.68244 + 0.450809i
\(310\) −2.04969 + 0.424940i −0.116415 + 0.0241350i
\(311\) −6.59852 + 24.6260i −0.374168 + 1.39641i 0.480389 + 0.877055i \(0.340495\pi\)
−0.854557 + 0.519357i \(0.826171\pi\)
\(312\) −0.799296 0.214171i −0.0452512 0.0121250i
\(313\) −2.48821 4.30971i −0.140642 0.243599i 0.787096 0.616830i \(-0.211583\pi\)
−0.927739 + 0.373231i \(0.878250\pi\)
\(314\) 6.27626 + 23.4233i 0.354190 + 1.32186i
\(315\) 11.0851 33.5428i 0.624572 1.88992i
\(316\) −1.24343 + 4.64055i −0.0699486 + 0.261052i
\(317\) −6.10824 + 22.7963i −0.343073 + 1.28037i 0.551774 + 0.833994i \(0.313951\pi\)
−0.894847 + 0.446373i \(0.852716\pi\)
\(318\) −9.25477 16.0297i −0.518982 0.898903i
\(319\) −7.20721 7.20721i −0.403526 0.403526i
\(320\) 1.00515 + 1.99742i 0.0561894 + 0.111659i
\(321\) −19.1115 + 11.0340i −1.06670 + 0.615858i
\(322\) −26.2326 + 26.2326i −1.46188 + 1.46188i
\(323\) 2.13930 2.13930i 0.119034 0.119034i
\(324\) −2.88688 5.00023i −0.160382 0.277790i
\(325\) −0.628918 1.45160i −0.0348861 0.0805200i
\(326\) 10.3880 + 5.99752i 0.575339 + 0.332172i
\(327\) 4.82623 0.266891
\(328\) 9.70680 + 5.60422i 0.535968 + 0.309441i
\(329\) 13.3534 + 7.70960i 0.736198 + 0.425044i
\(330\) −2.35242 + 7.11829i −0.129496 + 0.391849i
\(331\) 28.9715 + 7.76288i 1.59242 + 0.426687i 0.942741 0.333526i \(-0.108238\pi\)
0.649675 + 0.760212i \(0.274905\pi\)
\(332\) −1.11789 1.11789i −0.0613522 0.0613522i
\(333\) −0.645231 + 23.3497i −0.0353584 + 1.27956i
\(334\) 15.1043i 0.826469i
\(335\) −2.15320 2.41563i −0.117642 0.131980i
\(336\) −9.31834 5.37994i −0.508357 0.293500i
\(337\) −17.4513 + 4.67605i −0.950631 + 0.254721i −0.700630 0.713525i \(-0.747098\pi\)
−0.250001 + 0.968246i \(0.580431\pi\)
\(338\) −6.44995 + 11.1716i −0.350831 + 0.607657i
\(339\) −27.9303 27.9303i −1.51696 1.51696i
\(340\) −2.04657 + 1.02988i −0.110991 + 0.0558530i
\(341\) −0.848581 + 0.848581i −0.0459532 + 0.0459532i
\(342\) −10.9527 2.93476i −0.592252 0.158693i
\(343\) −8.51166 8.51166i −0.459587 0.459587i
\(344\) −5.24672 −0.282884
\(345\) 39.3662 35.0895i 2.11940 1.88915i
\(346\) 1.48869 + 5.55587i 0.0800325 + 0.298686i
\(347\) 8.48949 0.455739 0.227870 0.973692i \(-0.426824\pi\)
0.227870 + 0.973692i \(0.426824\pi\)
\(348\) −18.0086 + 10.3972i −0.965360 + 0.557351i
\(349\) 9.23117 5.32962i 0.494133 0.285288i −0.232154 0.972679i \(-0.574577\pi\)
0.726288 + 0.687391i \(0.241244\pi\)
\(350\) −3.01394 20.3485i −0.161102 1.08767i
\(351\) −0.671518 + 0.179933i −0.0358430 + 0.00960409i
\(352\) 1.11019 + 0.640968i 0.0591733 + 0.0341637i
\(353\) −20.5678 + 11.8748i −1.09472 + 0.632034i −0.934828 0.355101i \(-0.884447\pi\)
−0.159888 + 0.987135i \(0.551113\pi\)
\(354\) −11.4295 19.7964i −0.607470 1.05217i
\(355\) −16.1447 0.927342i −0.856872 0.0492182i
\(356\) −0.776325 + 0.776325i −0.0411451 + 0.0411451i
\(357\) 5.51232 9.54762i 0.291743 0.505314i
\(358\) −16.8534 4.51584i −0.890728 0.238670i
\(359\) 7.20698i 0.380370i 0.981748 + 0.190185i \(0.0609088\pi\)
−0.981748 + 0.190185i \(0.939091\pi\)
\(360\) 7.17795 + 4.71278i 0.378311 + 0.248385i
\(361\) −8.90375 + 5.14058i −0.468618 + 0.270557i
\(362\) 7.52011 0.395248
\(363\) −6.33357 23.6372i −0.332426 1.24063i
\(364\) 0.920432 0.920432i 0.0482438 0.0482438i
\(365\) −22.7648 7.52321i −1.19157 0.393783i
\(366\) −9.82843 + 17.0233i −0.513740 + 0.889824i
\(367\) −0.389839 1.45490i −0.0203494 0.0759452i 0.955004 0.296592i \(-0.0958500\pi\)
−0.975354 + 0.220646i \(0.929183\pi\)
\(368\) −4.50869 7.80928i −0.235032 0.407087i
\(369\) 43.0419 2.24067
\(370\) 5.77612 + 12.3141i 0.300286 + 0.640178i
\(371\) 29.1165 1.51165
\(372\) 1.22418 + 2.12034i 0.0634706 + 0.109934i
\(373\) 3.38844 + 12.6458i 0.175447 + 0.654777i 0.996475 + 0.0838891i \(0.0267341\pi\)
−0.821028 + 0.570888i \(0.806599\pi\)
\(374\) −0.656739 + 1.13751i −0.0339592 + 0.0588190i
\(375\) 2.61851 + 29.1232i 0.135219 + 1.50392i
\(376\) −2.65016 + 2.65016i −0.136671 + 0.136671i
\(377\) −0.651094 2.42992i −0.0335330 0.125147i
\(378\) −9.03977 −0.464956
\(379\) 10.0980 5.83006i 0.518697 0.299470i −0.217704 0.976015i \(-0.569857\pi\)
0.736401 + 0.676545i \(0.236524\pi\)
\(380\) −6.46511 + 1.34034i −0.331653 + 0.0687580i
\(381\) 28.8515i 1.47811i
\(382\) −21.0300 5.63496i −1.07599 0.288310i
\(383\) 9.45011 16.3681i 0.482878 0.836369i −0.516929 0.856028i \(-0.672925\pi\)
0.999807 + 0.0196592i \(0.00625811\pi\)
\(384\) 1.84934 1.84934i 0.0943739 0.0943739i
\(385\) −7.84703 8.80343i −0.399922 0.448664i
\(386\) −5.75000 9.95928i −0.292667 0.506914i
\(387\) −17.4488 + 10.0741i −0.886971 + 0.512093i
\(388\) −9.70707 5.60438i −0.492802 0.284519i
\(389\) −27.5808 + 7.39025i −1.39840 + 0.374701i −0.877771 0.479081i \(-0.840970\pi\)
−0.520631 + 0.853782i \(0.674303\pi\)
\(390\) −1.38126 + 1.23120i −0.0699426 + 0.0623441i
\(391\) 8.00143 4.61963i 0.404650 0.233625i
\(392\) 8.59605 4.96293i 0.434166 0.250666i
\(393\) −51.3711 −2.59133
\(394\) −1.89451 7.07040i −0.0954440 0.356202i
\(395\) 7.14809 + 8.01930i 0.359660 + 0.403495i
\(396\) 4.92281 0.247380
\(397\) 19.2370 + 19.2370i 0.965477 + 0.965477i 0.999424 0.0339463i \(-0.0108075\pi\)
−0.0339463 + 0.999424i \(0.510808\pi\)
\(398\) 16.5524 + 4.43519i 0.829695 + 0.222316i
\(399\) 22.4658 22.4658i 1.12470 1.12470i
\(400\) 4.96712 + 0.572505i 0.248356 + 0.0286253i
\(401\) −6.04888 6.04888i −0.302067 0.302067i 0.539755 0.841822i \(-0.318517\pi\)
−0.841822 + 0.539755i \(0.818517\pi\)
\(402\) −1.89245 + 3.27781i −0.0943866 + 0.163482i
\(403\) −0.286100 + 0.0766602i −0.0142516 + 0.00381871i
\(404\) 15.2335 + 8.79506i 0.757894 + 0.437570i
\(405\) −12.8893 0.740353i −0.640474 0.0367884i
\(406\) 32.7108i 1.62341i
\(407\) 6.64274 + 4.08390i 0.329268 + 0.202432i
\(408\) 1.89485 + 1.89485i 0.0938089 + 0.0938089i
\(409\) −19.7000 5.27859i −0.974100 0.261009i −0.263542 0.964648i \(-0.584891\pi\)
−0.710558 + 0.703639i \(0.751557\pi\)
\(410\) 22.3879 11.2661i 1.10566 0.556394i
\(411\) 15.6059 + 9.01008i 0.769783 + 0.444435i
\(412\) 10.1385 + 5.85347i 0.499488 + 0.288380i
\(413\) 35.9583 1.76939
\(414\) −29.9887 17.3140i −1.47386 0.850936i
\(415\) −3.46147 + 0.717629i −0.169917 + 0.0352270i
\(416\) 0.158198 + 0.274007i 0.00775630 + 0.0134343i
\(417\) 9.97301 9.97301i 0.488381 0.488381i
\(418\) −2.67658 + 2.67658i −0.130916 + 0.130916i
\(419\) −11.5211 + 6.65171i −0.562843 + 0.324957i −0.754286 0.656546i \(-0.772017\pi\)
0.191443 + 0.981504i \(0.438683\pi\)
\(420\) −21.4920 + 10.8153i −1.04870 + 0.527731i
\(421\) −16.5257 16.5257i −0.805413 0.805413i 0.178523 0.983936i \(-0.442868\pi\)
−0.983936 + 0.178523i \(0.942868\pi\)
\(422\) −6.68453 11.5779i −0.325398 0.563606i
\(423\) −3.72502 + 13.9020i −0.181117 + 0.675937i
\(424\) −1.83172 + 6.83608i −0.0889563 + 0.331989i
\(425\) −0.586592 + 5.08933i −0.0284539 + 0.246869i
\(426\) 4.89541 + 18.2699i 0.237183 + 0.885180i
\(427\) −15.4606 26.7786i −0.748192 1.29591i
\(428\) 8.15032 + 2.18387i 0.393960 + 0.105561i
\(429\) −0.274553 + 1.02465i −0.0132555 + 0.0494704i
\(430\) −6.43899 + 9.80712i −0.310516 + 0.472941i
\(431\) −6.77322 + 1.81488i −0.326255 + 0.0874197i −0.418229 0.908342i \(-0.637349\pi\)
0.0919741 + 0.995761i \(0.470682\pi\)
\(432\) 0.568694 2.12239i 0.0273613 0.102114i
\(433\) 3.46329 + 3.46329i 0.166435 + 0.166435i 0.785410 0.618975i \(-0.212452\pi\)
−0.618975 + 0.785410i \(0.712452\pi\)
\(434\) −3.85139 −0.184873
\(435\) −2.66642 + 46.4214i −0.127845 + 2.22573i
\(436\) −1.30485 1.30485i −0.0624910 0.0624910i
\(437\) 25.7190 6.89138i 1.23030 0.329659i
\(438\) 28.0427i 1.33993i
\(439\) 3.93412 + 14.6823i 0.187765 + 0.700749i 0.994022 + 0.109183i \(0.0348235\pi\)
−0.806256 + 0.591566i \(0.798510\pi\)
\(440\) 2.56056 1.28853i 0.122070 0.0614284i
\(441\) 19.0583 33.0100i 0.907540 1.57190i
\(442\) −0.280749 + 0.162091i −0.0133539 + 0.00770987i
\(443\) 0.683223 0.683223i 0.0324609 0.0324609i −0.690690 0.723151i \(-0.742693\pi\)
0.723151 + 0.690690i \(0.242693\pi\)
\(444\) 11.5556 10.9341i 0.548402 0.518909i
\(445\) 0.498361 + 2.40384i 0.0236246 + 0.113953i
\(446\) 0.616869 2.30219i 0.0292096 0.109012i
\(447\) −49.4932 + 13.2617i −2.34095 + 0.627255i
\(448\) 1.06481 + 3.97392i 0.0503075 + 0.187750i
\(449\) −22.3408 + 5.98619i −1.05433 + 0.282506i −0.744038 0.668137i \(-0.767092\pi\)
−0.310287 + 0.950643i \(0.600425\pi\)
\(450\) 17.6182 7.63325i 0.830528 0.359835i
\(451\) 7.18425 12.4435i 0.338293 0.585941i
\(452\) 15.1028i 0.710377i
\(453\) −6.23395 + 23.2654i −0.292896 + 1.09310i
\(454\) 16.1109i 0.756122i
\(455\) −0.590871 2.85006i −0.0277005 0.133613i
\(456\) 3.86128 + 6.68794i 0.180821 + 0.313191i
\(457\) −0.394118 0.227544i −0.0184361 0.0106441i 0.490754 0.871298i \(-0.336722\pi\)
−0.509190 + 0.860654i \(0.670055\pi\)
\(458\) 18.2605i 0.853256i
\(459\) 2.17462 + 0.582687i 0.101502 + 0.0271975i
\(460\) −20.1303 1.15627i −0.938580 0.0539115i
\(461\) 1.76440 + 0.472769i 0.0821762 + 0.0220191i 0.299673 0.954042i \(-0.403122\pi\)
−0.217497 + 0.976061i \(0.569789\pi\)
\(462\) −6.89674 + 11.9455i −0.320865 + 0.555755i
\(463\) −9.85847 + 17.0754i −0.458162 + 0.793560i −0.998864 0.0476546i \(-0.984825\pi\)
0.540702 + 0.841214i \(0.318159\pi\)
\(464\) 7.67997 + 2.05784i 0.356534 + 0.0955329i
\(465\) 5.46568 + 0.313945i 0.253465 + 0.0145589i
\(466\) 23.0424 + 6.17420i 1.06742 + 0.286014i
\(467\) 5.43514i 0.251508i −0.992061 0.125754i \(-0.959865\pi\)
0.992061 0.125754i \(-0.0401350\pi\)
\(468\) 1.05223 + 0.607503i 0.0486391 + 0.0280818i
\(469\) −2.97691 5.15617i −0.137461 0.238090i
\(470\) 1.70127 + 8.20603i 0.0784735 + 0.378516i
\(471\) 63.4216i 2.92231i
\(472\) −2.26214 + 8.44244i −0.104124 + 0.388595i
\(473\) 6.72595i 0.309260i
\(474\) 6.28244 10.8815i 0.288562 0.499804i
\(475\) −5.42890 + 13.7295i −0.249095 + 0.629951i
\(476\) −4.07170 + 1.09101i −0.186626 + 0.0500063i
\(477\) 7.03406 + 26.2515i 0.322068 + 1.20197i
\(478\) −3.17597 + 0.850999i −0.145265 + 0.0389238i
\(479\) 1.75560 6.55198i 0.0802154 0.299368i −0.914150 0.405376i \(-0.867140\pi\)
0.994365 + 0.106009i \(0.0338071\pi\)
\(480\) −1.18718 5.72637i −0.0541873 0.261372i
\(481\) 0.915875 + 1.69267i 0.0417603 + 0.0771789i
\(482\) 0.313706 0.313706i 0.0142889 0.0142889i
\(483\) 84.0270 48.5130i 3.82336 2.20742i
\(484\) −4.67832 + 8.10309i −0.212651 + 0.368322i
\(485\) −22.3886 + 11.2664i −1.01661 + 0.511583i
\(486\) 5.61438 + 20.9531i 0.254673 + 0.950454i
\(487\) 6.62657i 0.300278i 0.988665 + 0.150139i \(0.0479722\pi\)
−0.988665 + 0.150139i \(0.952028\pi\)
\(488\) 7.25981 1.94526i 0.328636 0.0880578i
\(489\) −22.1829 22.1829i −1.00315 1.00315i
\(490\) 1.27276 22.1584i 0.0574976 1.00101i
\(491\) 33.6405 1.51818 0.759088 0.650988i \(-0.225645\pi\)
0.759088 + 0.650988i \(0.225645\pi\)
\(492\) −20.7282 20.7282i −0.934502 0.934502i
\(493\) −2.10848 + 7.86894i −0.0949610 + 0.354399i
\(494\) −0.902411 + 0.241800i −0.0406014 + 0.0108791i
\(495\) 6.04148 9.20167i 0.271544 0.413584i
\(496\) 0.242292 0.904244i 0.0108792 0.0406018i
\(497\) −28.7395 7.70073i −1.28914 0.345425i
\(498\) 2.06736 + 3.58077i 0.0926406 + 0.160458i
\(499\) −3.85319 14.3803i −0.172492 0.643751i −0.996965 0.0778489i \(-0.975195\pi\)
0.824473 0.565902i \(-0.191472\pi\)
\(500\) 7.16598 8.58189i 0.320472 0.383794i
\(501\) −10.2242 + 38.1572i −0.456783 + 1.70474i
\(502\) −5.74721 + 21.4489i −0.256511 + 0.957311i
\(503\) −2.29732 3.97907i −0.102432 0.177418i 0.810254 0.586079i \(-0.199329\pi\)
−0.912686 + 0.408661i \(0.865996\pi\)
\(504\) 11.1714 + 11.1714i 0.497613 + 0.497613i
\(505\) 35.1348 17.6806i 1.56348 0.786778i
\(506\) −10.0110 + 5.77985i −0.445043 + 0.256946i
\(507\) 23.8563 23.8563i 1.05950 1.05950i
\(508\) −7.80047 + 7.80047i −0.346090 + 0.346090i
\(509\) 9.21302 + 15.9574i 0.408360 + 0.707300i 0.994706 0.102760i \(-0.0327674\pi\)
−0.586346 + 0.810061i \(0.699434\pi\)
\(510\) 5.86727 1.21640i 0.259807 0.0538629i
\(511\) −38.2026 22.0563i −1.68998 0.975713i
\(512\) −1.00000 −0.0441942
\(513\) 5.61878 + 3.24400i 0.248075 + 0.143226i
\(514\) 14.5578 + 8.40494i 0.642116 + 0.370726i
\(515\) 23.3837 11.7672i 1.03041 0.518524i
\(516\) 13.2545 + 3.55154i 0.583498 + 0.156348i
\(517\) 3.39733 + 3.39733i 0.149414 + 0.149414i
\(518\) 5.80680 + 24.3421i 0.255136 + 1.06953i
\(519\) 15.0432i 0.660324i
\(520\) 0.706320 + 0.0405706i 0.0309742 + 0.00177914i
\(521\) 18.6627 + 10.7749i 0.817629 + 0.472058i 0.849598 0.527430i \(-0.176844\pi\)
−0.0319690 + 0.999489i \(0.510178\pi\)
\(522\) 29.4921 7.90239i 1.29084 0.345878i
\(523\) −0.0543266 + 0.0940964i −0.00237554 + 0.00411455i −0.867211 0.497941i \(-0.834089\pi\)
0.864835 + 0.502056i \(0.167423\pi\)
\(524\) 13.8890 + 13.8890i 0.606745 + 0.606745i
\(525\) −6.16009 + 53.4456i −0.268848 + 2.33256i
\(526\) 4.10042 4.10042i 0.178787 0.178787i
\(527\) 0.926494 + 0.248253i 0.0403587 + 0.0108141i
\(528\) −2.37074 2.37074i −0.103173 0.103173i
\(529\) 58.3132 2.53536
\(530\) 10.5300 + 11.8134i 0.457393 + 0.513140i
\(531\) 8.68694 + 32.4201i 0.376981 + 1.40691i
\(532\) −12.1480 −0.526682
\(533\) 3.07119 1.77316i 0.133028 0.0768039i
\(534\) 2.48669 1.43569i 0.107610 0.0621284i
\(535\) 14.0845 12.5544i 0.608925 0.542772i
\(536\) 1.39786 0.374556i 0.0603785 0.0161784i
\(537\) 39.5190 + 22.8163i 1.70537 + 0.984596i
\(538\) 17.8778 10.3218i 0.770768 0.445003i
\(539\) −6.36216 11.0196i −0.274038 0.474647i
\(540\) −3.26923 3.66769i −0.140685 0.157832i
\(541\) −31.8709 + 31.8709i −1.37024 + 1.37024i −0.510155 + 0.860082i \(0.670412\pi\)
−0.860082 + 0.510155i \(0.829588\pi\)
\(542\) −2.00895 + 3.47961i −0.0862919 + 0.149462i
\(543\) −18.9977 5.09041i −0.815268 0.218450i
\(544\) 1.02461i 0.0439296i
\(545\) −4.04038 + 0.837648i −0.173071 + 0.0358809i
\(546\) −2.94829 + 1.70219i −0.126175 + 0.0728472i
\(547\) −19.5536 −0.836050 −0.418025 0.908435i \(-0.637278\pi\)
−0.418025 + 0.908435i \(0.637278\pi\)
\(548\) −1.78329 6.65534i −0.0761785 0.284302i
\(549\) 20.4086 20.4086i 0.871018 0.871018i
\(550\) 0.733915 6.36752i 0.0312942 0.271512i
\(551\) −11.7386 + 20.3318i −0.500080 + 0.866164i
\(552\) 6.10392 + 22.7802i 0.259800 + 0.969588i
\(553\) 9.88261 + 17.1172i 0.420251 + 0.727896i
\(554\) −19.2865 −0.819405
\(555\) −6.25644 35.0183i −0.265571 1.48644i
\(556\) −5.39273 −0.228703
\(557\) −16.1397 27.9548i −0.683862 1.18448i −0.973793 0.227436i \(-0.926966\pi\)
0.289931 0.957047i \(-0.406368\pi\)
\(558\) −0.930432 3.47242i −0.0393883 0.146999i
\(559\) −0.830021 + 1.43764i −0.0351062 + 0.0608057i
\(560\) 8.73480 + 2.88663i 0.369113 + 0.121982i
\(561\) 2.42907 2.42907i 0.102555 0.102555i
\(562\) −4.80363 17.9274i −0.202629 0.756222i
\(563\) −10.5166 −0.443221 −0.221610 0.975135i \(-0.571131\pi\)
−0.221610 + 0.975135i \(0.571131\pi\)
\(564\) 8.48886 4.90105i 0.357445 0.206371i
\(565\) 28.2301 + 18.5348i 1.18765 + 0.779766i
\(566\) 24.0972i 1.01288i
\(567\) −22.9445 6.14795i −0.963577 0.258190i
\(568\) 3.61602 6.26312i 0.151725 0.262795i
\(569\) 17.6830 17.6830i 0.741311 0.741311i −0.231520 0.972830i \(-0.574370\pi\)
0.972830 + 0.231520i \(0.0743698\pi\)
\(570\) 17.2398 + 0.990242i 0.722094 + 0.0414767i
\(571\) −12.0264 20.8303i −0.503289 0.871723i −0.999993 0.00380245i \(-0.998790\pi\)
0.496703 0.867920i \(-0.334544\pi\)
\(572\) 0.351260 0.202800i 0.0146869 0.00847949i
\(573\) 49.3126 + 28.4706i 2.06006 + 1.18938i
\(574\) 44.5415 11.9348i 1.85912 0.498151i
\(575\) −26.8660 + 36.2084i −1.12039 + 1.50999i
\(576\) −3.32566 + 1.92007i −0.138569 + 0.0800028i
\(577\) −23.1465 + 13.3636i −0.963602 + 0.556336i −0.897280 0.441462i \(-0.854460\pi\)
−0.0663223 + 0.997798i \(0.521127\pi\)
\(578\) −15.9502 −0.663440
\(579\) 7.78442 + 29.0518i 0.323509 + 1.20735i
\(580\) 13.2717 11.8299i 0.551077 0.491209i
\(581\) −6.50413 −0.269837
\(582\) 20.7288 + 20.7288i 0.859238 + 0.859238i
\(583\) 8.76342 + 2.34815i 0.362944 + 0.0972504i
\(584\) 7.58180 7.58180i 0.313737 0.313737i
\(585\) 2.42687 1.22126i 0.100339 0.0504928i
\(586\) 6.12874 + 6.12874i 0.253176 + 0.253176i
\(587\) 11.5117 19.9388i 0.475137 0.822961i −0.524458 0.851437i \(-0.675732\pi\)
0.999594 + 0.0284753i \(0.00906518\pi\)
\(588\) −25.0752 + 6.71888i −1.03408 + 0.277082i
\(589\) 2.39388 + 1.38211i 0.0986380 + 0.0569487i
\(590\) 13.0043 + 14.5893i 0.535380 + 0.600632i
\(591\) 19.1440i 0.787479i
\(592\) −6.08044 0.168023i −0.249905 0.00690570i
\(593\) −18.8196 18.8196i −0.772828 0.772828i 0.205772 0.978600i \(-0.434030\pi\)
−0.978600 + 0.205772i \(0.934030\pi\)
\(594\) −2.72077 0.729028i −0.111635 0.0299124i
\(595\) −2.95766 + 8.94972i −0.121252 + 0.366903i
\(596\) 16.9668 + 9.79578i 0.694987 + 0.401251i
\(597\) −38.8132 22.4088i −1.58852 0.917131i
\(598\) −2.85307 −0.116671
\(599\) 26.6032 + 15.3593i 1.08698 + 0.627566i 0.932770 0.360473i \(-0.117385\pi\)
0.154206 + 0.988039i \(0.450718\pi\)
\(600\) −12.1606 4.80856i −0.496456 0.196309i
\(601\) −17.0654 29.5582i −0.696112 1.20570i −0.969804 0.243885i \(-0.921578\pi\)
0.273692 0.961817i \(-0.411755\pi\)
\(602\) −15.2633 + 15.2633i −0.622085 + 0.622085i
\(603\) 3.92964 3.92964i 0.160027 0.160027i
\(604\) 7.97563 4.60473i 0.324524 0.187364i
\(605\) 9.40479 + 18.6891i 0.382359 + 0.759821i
\(606\) −32.5301 32.5301i −1.32145 1.32145i
\(607\) 0.365862 + 0.633692i 0.0148499 + 0.0257208i 0.873355 0.487084i \(-0.161940\pi\)
−0.858505 + 0.512805i \(0.828606\pi\)
\(608\) 0.764232 2.85215i 0.0309937 0.115670i
\(609\) −22.1422 + 82.6356i −0.897245 + 3.34857i
\(610\) 5.27348 15.9573i 0.213517 0.646092i
\(611\) 0.306912 + 1.14541i 0.0124163 + 0.0463384i
\(612\) −1.96731 3.40749i −0.0795239 0.137739i
\(613\) −24.7224 6.62436i −0.998530 0.267555i −0.277700 0.960668i \(-0.589572\pi\)
−0.720829 + 0.693113i \(0.756239\pi\)
\(614\) 0.402416 1.50184i 0.0162402 0.0606092i
\(615\) −64.1836 + 13.3065i −2.58813 + 0.536569i
\(616\) 5.09431 1.36502i 0.205256 0.0549981i
\(617\) −5.97970 + 22.3165i −0.240733 + 0.898430i 0.734747 + 0.678342i \(0.237301\pi\)
−0.975480 + 0.220088i \(0.929366\pi\)
\(618\) −21.6501 21.6501i −0.870896 0.870896i
\(619\) −5.92880 −0.238299 −0.119149 0.992876i \(-0.538017\pi\)
−0.119149 + 0.992876i \(0.538017\pi\)
\(620\) −1.39286 1.56262i −0.0559384 0.0627562i
\(621\) 14.0103 + 14.0103i 0.562214 + 0.562214i
\(622\) −24.6260 + 6.59852i −0.987413 + 0.264576i
\(623\) 4.51683i 0.180963i
\(624\) −0.214171 0.799296i −0.00857369 0.0319975i
\(625\) −7.24681 23.9266i −0.289872 0.957065i
\(626\) 2.48821 4.30971i 0.0994490 0.172251i
\(627\) 8.57350 4.94992i 0.342393 0.197681i
\(628\) −17.1471 + 17.1471i −0.684243 + 0.684243i
\(629\) 0.172157 6.23005i 0.00686436 0.248409i
\(630\) 34.5915 7.17146i 1.37816 0.285718i
\(631\) −5.52933 + 20.6357i −0.220119 + 0.821496i 0.764182 + 0.645000i \(0.223143\pi\)
−0.984301 + 0.176495i \(0.943524\pi\)
\(632\) −4.64055 + 1.24343i −0.184591 + 0.0494611i
\(633\) 9.04960 + 33.7736i 0.359690 + 1.34238i
\(634\) −22.7963 + 6.10824i −0.905356 + 0.242589i
\(635\) 5.00751 + 24.1536i 0.198717 + 0.958508i
\(636\) 9.25477 16.0297i 0.366976 0.635621i
\(637\) 3.14051i 0.124431i
\(638\) 2.63802 9.84523i 0.104440 0.389776i
\(639\) 27.7720i 1.09864i
\(640\) −1.22724 + 1.86919i −0.0485110 + 0.0738863i
\(641\) 3.77010 + 6.53000i 0.148910 + 0.257919i 0.930825 0.365466i \(-0.119090\pi\)
−0.781915 + 0.623385i \(0.785757\pi\)
\(642\) −19.1115 11.0340i −0.754269 0.435477i
\(643\) 13.3314i 0.525738i 0.964832 + 0.262869i \(0.0846687\pi\)
−0.964832 + 0.262869i \(0.915331\pi\)
\(644\) −35.8344 9.60179i −1.41207 0.378363i
\(645\) 22.9050 20.4166i 0.901884 0.803904i
\(646\) 2.92233 + 0.783037i 0.114978 + 0.0308082i
\(647\) −11.2347 + 19.4591i −0.441682 + 0.765016i −0.997814 0.0660780i \(-0.978951\pi\)
0.556132 + 0.831094i \(0.312285\pi\)
\(648\) 2.88688 5.00023i 0.113407 0.196427i
\(649\) 10.8227 + 2.89992i 0.424827 + 0.113832i
\(650\) 0.942659 1.27046i 0.0369741 0.0498314i
\(651\) 9.72957 + 2.60703i 0.381332 + 0.102178i
\(652\) 11.9950i 0.469762i
\(653\) −11.0498 6.37961i −0.432412 0.249653i 0.267962 0.963430i \(-0.413650\pi\)
−0.700374 + 0.713776i \(0.746983\pi\)
\(654\) 2.41311 + 4.17964i 0.0943603 + 0.163437i
\(655\) 43.0064 8.91605i 1.68040 0.348379i
\(656\) 11.2084i 0.437616i
\(657\) 10.6569 39.7720i 0.415764 1.55165i
\(658\) 15.4192i 0.601103i
\(659\) −21.1866 + 36.6963i −0.825314 + 1.42949i 0.0763650 + 0.997080i \(0.475669\pi\)
−0.901679 + 0.432406i \(0.857665\pi\)
\(660\) −7.34083 + 1.52189i −0.285741 + 0.0592396i
\(661\) −5.22723 + 1.40063i −0.203316 + 0.0544783i −0.359040 0.933322i \(-0.616896\pi\)
0.155724 + 0.987801i \(0.450229\pi\)
\(662\) 7.76288 + 28.9715i 0.301713 + 1.12601i
\(663\) 0.818963 0.219441i 0.0318059 0.00852236i
\(664\) 0.409176 1.52707i 0.0158791 0.0592616i
\(665\) −14.9085 + 22.7069i −0.578128 + 0.880537i
\(666\) −20.5441 + 11.1161i −0.796067 + 0.430739i
\(667\) −50.6969 + 50.6969i −1.96299 + 1.96299i
\(668\) 13.0807 7.55214i 0.506107 0.292201i
\(669\) −3.11673 + 5.39833i −0.120500 + 0.208712i
\(670\) 1.01540 3.07255i 0.0392283 0.118703i
\(671\) −2.49370 9.30661i −0.0962682 0.359278i
\(672\) 10.7599i 0.415072i
\(673\) −26.6381 + 7.13765i −1.02682 + 0.275136i −0.732642 0.680614i \(-0.761713\pi\)
−0.294180 + 0.955750i \(0.595046\pi\)
\(674\) −12.7752 12.7752i −0.492083 0.492083i
\(675\) −10.8678 + 1.60969i −0.418300 + 0.0619568i
\(676\) −12.8999 −0.496150
\(677\) 27.1242 + 27.1242i 1.04247 + 1.04247i 0.999057 + 0.0434117i \(0.0138227\pi\)
0.0434117 + 0.999057i \(0.486177\pi\)
\(678\) 10.2232 38.1535i 0.392619 1.46528i
\(679\) −44.5427 + 11.9352i −1.70939 + 0.458030i
\(680\) −1.91518 1.25744i −0.0734440 0.0482206i
\(681\) −10.9056 + 40.7001i −0.417902 + 1.55963i
\(682\) −1.15918 0.310602i −0.0443874 0.0118936i
\(683\) −7.20750 12.4838i −0.275787 0.477678i 0.694546 0.719448i \(-0.255605\pi\)
−0.970333 + 0.241771i \(0.922272\pi\)
\(684\) −2.93476 10.9527i −0.112213 0.418785i
\(685\) −14.6286 4.83440i −0.558931 0.184713i
\(686\) 3.11548 11.6271i 0.118950 0.443926i
\(687\) 12.3606 46.1305i 0.471588 1.75999i
\(688\) −2.62336 4.54379i −0.100015 0.173230i
\(689\) 1.58336 + 1.58336i 0.0603213 + 0.0603213i
\(690\) 50.0715 + 16.5474i 1.90619 + 0.629947i
\(691\) 11.9196 6.88177i 0.453442 0.261795i −0.255841 0.966719i \(-0.582352\pi\)
0.709283 + 0.704924i \(0.249019\pi\)
\(692\) −4.06718 + 4.06718i −0.154611 + 0.154611i
\(693\) 14.3210 14.3210i 0.544010 0.544010i
\(694\) 4.24474 + 7.35211i 0.161128 + 0.279082i
\(695\) −6.61819 + 10.0801i −0.251042 + 0.382358i
\(696\) −18.0086 10.3972i −0.682612 0.394106i
\(697\) −11.4842 −0.434996
\(698\) 9.23117 + 5.32962i 0.349405 + 0.201729i
\(699\) −54.0316 31.1951i −2.04366 1.17991i
\(700\) 16.1154 12.7844i 0.609104 0.483205i
\(701\) 15.4790 + 4.14760i 0.584635 + 0.156653i 0.539000 0.842306i \(-0.318802\pi\)
0.0456352 + 0.998958i \(0.485469\pi\)
\(702\) −0.491585 0.491585i −0.0185537 0.0185537i
\(703\) 5.12610 17.2139i 0.193334 0.649236i
\(704\) 1.28194i 0.0483148i
\(705\) 1.25689 21.8821i 0.0473373 0.824127i
\(706\) −20.5678 11.8748i −0.774081 0.446916i
\(707\) 69.9017 18.7301i 2.62892 0.704418i
\(708\) 11.4295 19.7964i 0.429546 0.743996i
\(709\) 11.2508 + 11.2508i 0.422534 + 0.422534i 0.886075 0.463541i \(-0.153421\pi\)
−0.463541 + 0.886075i \(0.653421\pi\)
\(710\) −7.26925 14.4454i −0.272810 0.542126i
\(711\) −13.0454 + 13.0454i −0.489241 + 0.489241i
\(712\) −1.06048 0.284155i −0.0397432 0.0106491i
\(713\) 5.96908 + 5.96908i 0.223544 + 0.223544i
\(714\) 11.0246 0.412587
\(715\) 0.0520089 0.905456i 0.00194502 0.0338621i
\(716\) −4.51584 16.8534i −0.168765 0.629840i
\(717\) 8.59934 0.321148
\(718\) −6.24143 + 3.60349i −0.232928 + 0.134481i
\(719\) 35.4007 20.4386i 1.32022 0.762231i 0.336458 0.941698i \(-0.390771\pi\)
0.983764 + 0.179468i \(0.0574375\pi\)
\(720\) −0.492409 + 8.57268i −0.0183510 + 0.319485i
\(721\) 46.5224 12.4656i 1.73259 0.464245i
\(722\) −8.90375 5.14058i −0.331363 0.191313i
\(723\) −1.00485 + 0.580150i −0.0373708 + 0.0215760i
\(724\) 3.76005 + 6.51260i 0.139741 + 0.242039i
\(725\) −5.82472 39.3254i −0.216325 1.46051i
\(726\) 17.3036 17.3036i 0.642198 0.642198i
\(727\) 12.4215 21.5146i 0.460687 0.797933i −0.538308 0.842748i \(-0.680936\pi\)
0.998995 + 0.0448149i \(0.0142698\pi\)
\(728\) 1.25733 + 0.336902i 0.0465999 + 0.0124864i
\(729\) 39.4120i 1.45970i
\(730\) −4.86713 23.4765i −0.180141 0.868905i
\(731\) 4.65559 2.68791i 0.172193 0.0994159i
\(732\) −19.6569 −0.726538
\(733\) −5.39322 20.1278i −0.199203 0.743436i −0.991139 0.132831i \(-0.957593\pi\)
0.791936 0.610604i \(-0.209073\pi\)
\(734\) 1.06506 1.06506i 0.0393121 0.0393121i
\(735\) −18.2145 + 55.1160i −0.671851 + 2.03299i
\(736\) 4.50869 7.80928i 0.166193 0.287854i
\(737\) −0.480157 1.79197i −0.0176868 0.0660081i
\(738\) 21.5210 + 37.2754i 0.792198 + 1.37213i
\(739\) −5.96184 −0.219310 −0.109655 0.993970i \(-0.534975\pi\)
−0.109655 + 0.993970i \(0.534975\pi\)
\(740\) −7.77624 + 11.1593i −0.285860 + 0.410224i
\(741\) 2.44339 0.0897602
\(742\) 14.5582 + 25.2156i 0.534450 + 0.925694i
\(743\) 4.38642 + 16.3703i 0.160922 + 0.600569i 0.998525 + 0.0542899i \(0.0172895\pi\)
−0.837603 + 0.546279i \(0.816044\pi\)
\(744\) −1.22418 + 2.12034i −0.0448805 + 0.0777353i
\(745\) 39.1325 19.6924i 1.43371 0.721473i
\(746\) −9.25740 + 9.25740i −0.338937 + 0.338937i
\(747\) −1.57129 5.86414i −0.0574905 0.214558i
\(748\) −1.31348 −0.0480255
\(749\) 30.0633 17.3571i 1.09849 0.634213i
\(750\) −23.9122 + 16.8293i −0.873149 + 0.614519i
\(751\) 0.463178i 0.0169016i −0.999964 0.00845080i \(-0.997310\pi\)
0.999964 0.00845080i \(-0.00269001\pi\)
\(752\) −3.62018 0.970024i −0.132014 0.0353731i
\(753\) 29.0378 50.2949i 1.05820 1.83285i
\(754\) 1.77882 1.77882i 0.0647809 0.0647809i
\(755\) 1.18090 20.5591i 0.0429775 0.748223i
\(756\) −4.51989 7.82867i −0.164387 0.284726i
\(757\) 46.5341 26.8665i 1.69131 0.976480i 0.737851 0.674963i \(-0.235841\pi\)
0.953461 0.301516i \(-0.0974928\pi\)
\(758\) 10.0980 + 5.83006i 0.366774 + 0.211757i
\(759\) 29.2027 7.82484i 1.05999 0.284024i
\(760\) −4.39332 4.92878i −0.159363 0.178786i
\(761\) −17.6933 + 10.2152i −0.641380 + 0.370301i −0.785146 0.619311i \(-0.787412\pi\)
0.143766 + 0.989612i \(0.454079\pi\)
\(762\) 24.9861 14.4257i 0.905152 0.522590i
\(763\) −7.59191 −0.274846
\(764\) −5.63496 21.0300i −0.203866 0.760837i
\(765\) −8.78361 0.504525i −0.317572 0.0182412i
\(766\) 18.9002 0.682893
\(767\) 1.95542 + 1.95542i 0.0706062 + 0.0706062i
\(768\) 2.52625 + 0.676906i 0.0911582 + 0.0244258i
\(769\) −13.9242 + 13.9242i −0.502119 + 0.502119i −0.912096 0.409977i \(-0.865537\pi\)
0.409977 + 0.912096i \(0.365537\pi\)
\(770\) 3.70047 11.1974i 0.133356 0.403528i
\(771\) −31.0872 31.0872i −1.11958 1.11958i