Properties

Label 192.2.s.a.131.7
Level $192$
Weight $2$
Character 192.131
Analytic conductor $1.533$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 192 = 2^{6} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 192.s (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.53312771881\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 131.7
Character \(\chi\) \(=\) 192.131
Dual form 192.2.s.a.107.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.04386 + 0.954131i) q^{2} +(1.68284 - 0.409950i) q^{3} +(0.179269 - 1.99195i) q^{4} +(0.0417075 - 0.0624196i) q^{5} +(-1.36549 + 2.03358i) q^{6} +(-0.100307 - 0.242162i) q^{7} +(1.71345 + 2.25035i) q^{8} +(2.66388 - 1.37976i) q^{9} +O(q^{10})\) \(q+(-1.04386 + 0.954131i) q^{2} +(1.68284 - 0.409950i) q^{3} +(0.179269 - 1.99195i) q^{4} +(0.0417075 - 0.0624196i) q^{5} +(-1.36549 + 2.03358i) q^{6} +(-0.100307 - 0.242162i) q^{7} +(1.71345 + 2.25035i) q^{8} +(2.66388 - 1.37976i) q^{9} +(0.0160199 + 0.104951i) q^{10} +(2.15600 - 0.428854i) q^{11} +(-0.514919 - 3.42562i) q^{12} +(0.751836 - 0.502361i) q^{13} +(0.335761 + 0.157077i) q^{14} +(0.0445980 - 0.122140i) q^{15} +(-3.93573 - 0.714188i) q^{16} +(1.66843 - 1.66843i) q^{17} +(-1.46424 + 3.98196i) q^{18} +(-1.06552 + 0.711956i) q^{19} +(-0.116860 - 0.0942690i) q^{20} +(-0.268075 - 0.366399i) q^{21} +(-1.84137 + 2.50477i) q^{22} +(-0.745366 + 1.79947i) q^{23} +(3.80599 + 3.08455i) q^{24} +(1.91126 + 4.61419i) q^{25} +(-0.305490 + 1.24174i) q^{26} +(3.91725 - 3.41396i) q^{27} +(-0.500357 + 0.156394i) q^{28} +(-1.26847 + 6.37705i) q^{29} +(0.0699837 + 0.170049i) q^{30} -10.1205 q^{31} +(4.78976 - 3.00969i) q^{32} +(3.45238 - 1.60554i) q^{33} +(-0.149699 + 3.33350i) q^{34} +(-0.0192992 - 0.00383886i) q^{35} +(-2.27086 - 5.55367i) q^{36} +(2.54831 - 3.81381i) q^{37} +(0.432947 - 1.75982i) q^{38} +(1.05928 - 1.15361i) q^{39} +(0.211930 - 0.0130964i) q^{40} +(-4.77720 - 1.97878i) q^{41} +(0.629424 + 0.126689i) q^{42} +(-9.37912 + 1.86562i) q^{43} +(-0.467754 - 4.37152i) q^{44} +(0.0249798 - 0.223825i) q^{45} +(-0.938878 - 2.58957i) q^{46} +(-8.04483 - 8.04483i) q^{47} +(-6.91597 + 0.411587i) q^{48} +(4.90117 - 4.90117i) q^{49} +(-6.39762 - 2.99296i) q^{50} +(2.12372 - 3.49166i) q^{51} +(-0.865897 - 1.58768i) q^{52} +(1.29422 + 6.50649i) q^{53} +(-0.831673 + 7.30125i) q^{54} +(0.0631522 - 0.152463i) q^{55} +(0.373080 - 0.640659i) q^{56} +(-1.50123 + 1.63491i) q^{57} +(-4.76044 - 7.86701i) q^{58} +(-3.86117 - 2.57995i) q^{59} +(-0.235302 - 0.110733i) q^{60} +(-0.853477 + 4.29072i) q^{61} +(10.5643 - 9.65624i) q^{62} +(-0.601331 - 0.506693i) q^{63} +(-2.12818 + 7.71173i) q^{64} -0.0678815i q^{65} +(-2.07189 + 4.96998i) q^{66} +(1.79590 + 0.357228i) q^{67} +(-3.02433 - 3.62252i) q^{68} +(-0.516636 + 3.33378i) q^{69} +(0.0238084 - 0.0144068i) q^{70} +(-5.21738 + 2.16111i) q^{71} +(7.66937 + 3.63053i) q^{72} +(10.0231 + 4.15171i) q^{73} +(0.978810 + 6.41248i) q^{74} +(5.10793 + 6.98141i) q^{75} +(1.22717 + 2.25009i) q^{76} +(-0.320114 - 0.479085i) q^{77} +(-0.00503859 + 2.21489i) q^{78} +(-5.93698 - 5.93698i) q^{79} +(-0.208728 + 0.215880i) q^{80} +(5.19254 - 7.35102i) q^{81} +(6.87472 - 2.49251i) q^{82} +(6.79190 + 10.1648i) q^{83} +(-0.777906 + 0.468308i) q^{84} +(-0.0345567 - 0.173728i) q^{85} +(8.01040 - 10.8963i) q^{86} +(0.479635 + 11.2516i) q^{87} +(4.65927 + 4.11693i) q^{88} +(-13.5709 + 5.62127i) q^{89} +(0.187483 + 0.257475i) q^{90} +(-0.197067 - 0.131676i) q^{91} +(3.45084 + 1.80732i) q^{92} +(-17.0311 + 4.14888i) q^{93} +(16.0735 + 0.721820i) q^{94} +0.0962031i q^{95} +(6.82656 - 7.02837i) q^{96} -13.0044i q^{97} +(-0.439755 + 9.79246i) q^{98} +(5.15161 - 4.11717i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 8q^{3} - 16q^{4} - 8q^{6} - 16q^{7} - 8q^{9} + O(q^{10}) \) \( 240q - 8q^{3} - 16q^{4} - 8q^{6} - 16q^{7} - 8q^{9} - 16q^{10} - 8q^{12} - 16q^{13} - 8q^{15} - 16q^{16} - 8q^{18} - 16q^{19} - 8q^{21} - 16q^{22} - 48q^{24} - 16q^{25} - 8q^{27} - 16q^{28} - 88q^{30} - 32q^{31} - 16q^{34} - 88q^{36} - 16q^{37} - 8q^{39} - 16q^{40} - 48q^{42} - 16q^{43} - 8q^{45} - 16q^{46} - 8q^{48} - 16q^{49} - 8q^{51} + 32q^{52} - 8q^{54} - 80q^{55} - 8q^{57} + 128q^{58} - 8q^{60} - 16q^{61} + 80q^{64} - 24q^{66} - 144q^{67} - 8q^{69} + 80q^{70} - 8q^{72} - 16q^{73} - 8q^{75} + 96q^{76} + 16q^{78} - 48q^{79} - 8q^{81} + 64q^{82} + 104q^{84} - 16q^{85} - 8q^{87} + 64q^{88} + 136q^{90} - 16q^{91} - 32q^{93} + 80q^{94} + 128q^{96} - 8q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(133\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{3}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.04386 + 0.954131i −0.738117 + 0.674672i
\(3\) 1.68284 0.409950i 0.971587 0.236685i
\(4\) 0.179269 1.99195i 0.0896343 0.995975i
\(5\) 0.0417075 0.0624196i 0.0186521 0.0279149i −0.822026 0.569449i \(-0.807156\pi\)
0.840679 + 0.541535i \(0.182156\pi\)
\(6\) −1.36549 + 2.03358i −0.557460 + 0.830204i
\(7\) −0.100307 0.242162i −0.0379125 0.0915288i 0.903789 0.427978i \(-0.140774\pi\)
−0.941702 + 0.336449i \(0.890774\pi\)
\(8\) 1.71345 + 2.25035i 0.605796 + 0.795620i
\(9\) 2.66388 1.37976i 0.887961 0.459919i
\(10\) 0.0160199 + 0.104951i 0.00506595 + 0.0331886i
\(11\) 2.15600 0.428854i 0.650058 0.129304i 0.140963 0.990015i \(-0.454980\pi\)
0.509095 + 0.860710i \(0.329980\pi\)
\(12\) −0.514919 3.42562i −0.148644 0.988891i
\(13\) 0.751836 0.502361i 0.208522 0.139330i −0.446924 0.894572i \(-0.647481\pi\)
0.655446 + 0.755242i \(0.272481\pi\)
\(14\) 0.335761 + 0.157077i 0.0897358 + 0.0419805i
\(15\) 0.0445980 0.122140i 0.0115151 0.0315364i
\(16\) −3.93573 0.714188i −0.983931 0.178547i
\(17\) 1.66843 1.66843i 0.404653 0.404653i −0.475216 0.879869i \(-0.657630\pi\)
0.879869 + 0.475216i \(0.157630\pi\)
\(18\) −1.46424 + 3.98196i −0.345125 + 0.938557i
\(19\) −1.06552 + 0.711956i −0.244446 + 0.163334i −0.671758 0.740770i \(-0.734461\pi\)
0.427312 + 0.904104i \(0.359461\pi\)
\(20\) −0.116860 0.0942690i −0.0261307 0.0210792i
\(21\) −0.268075 0.366399i −0.0584987 0.0799549i
\(22\) −1.84137 + 2.50477i −0.392581 + 0.534018i
\(23\) −0.745366 + 1.79947i −0.155419 + 0.375216i −0.982340 0.187102i \(-0.940090\pi\)
0.826921 + 0.562318i \(0.190090\pi\)
\(24\) 3.80599 + 3.08455i 0.776894 + 0.629631i
\(25\) 1.91126 + 4.61419i 0.382252 + 0.922838i
\(26\) −0.305490 + 1.24174i −0.0599116 + 0.243526i
\(27\) 3.91725 3.41396i 0.753875 0.657018i
\(28\) −0.500357 + 0.156394i −0.0945586 + 0.0295557i
\(29\) −1.26847 + 6.37705i −0.235550 + 1.18419i 0.664123 + 0.747624i \(0.268805\pi\)
−0.899672 + 0.436566i \(0.856195\pi\)
\(30\) 0.0699837 + 0.170049i 0.0127772 + 0.0310465i
\(31\) −10.1205 −1.81769 −0.908844 0.417137i \(-0.863033\pi\)
−0.908844 + 0.417137i \(0.863033\pi\)
\(32\) 4.78976 3.00969i 0.846718 0.532043i
\(33\) 3.45238 1.60554i 0.600983 0.279489i
\(34\) −0.149699 + 3.33350i −0.0256732 + 0.571690i
\(35\) −0.0192992 0.00383886i −0.00326217 0.000648885i
\(36\) −2.27086 5.55367i −0.378476 0.925611i
\(37\) 2.54831 3.81381i 0.418939 0.626986i −0.560637 0.828062i \(-0.689444\pi\)
0.979576 + 0.201075i \(0.0644436\pi\)
\(38\) 0.432947 1.75982i 0.0702333 0.285481i
\(39\) 1.05928 1.15361i 0.169620 0.184725i
\(40\) 0.211930 0.0130964i 0.0335090 0.00207072i
\(41\) −4.77720 1.97878i −0.746073 0.309033i −0.0229347 0.999737i \(-0.507301\pi\)
−0.723138 + 0.690704i \(0.757301\pi\)
\(42\) 0.629424 + 0.126689i 0.0971223 + 0.0195486i
\(43\) −9.37912 + 1.86562i −1.43030 + 0.284505i −0.848659 0.528940i \(-0.822590\pi\)
−0.581643 + 0.813444i \(0.697590\pi\)
\(44\) −0.467754 4.37152i −0.0705165 0.659031i
\(45\) 0.0249798 0.223825i 0.00372377 0.0333658i
\(46\) −0.938878 2.58957i −0.138430 0.381811i
\(47\) −8.04483 8.04483i −1.17346 1.17346i −0.981379 0.192080i \(-0.938477\pi\)
−0.192080 0.981379i \(-0.561523\pi\)
\(48\) −6.91597 + 0.411587i −0.998234 + 0.0594075i
\(49\) 4.90117 4.90117i 0.700167 0.700167i
\(50\) −6.39762 2.99296i −0.904760 0.423268i
\(51\) 2.12372 3.49166i 0.297380 0.488931i
\(52\) −0.865897 1.58768i −0.120078 0.220171i
\(53\) 1.29422 + 6.50649i 0.177775 + 0.893735i 0.961956 + 0.273203i \(0.0880831\pi\)
−0.784181 + 0.620532i \(0.786917\pi\)
\(54\) −0.831673 + 7.30125i −0.113176 + 0.993575i
\(55\) 0.0631522 0.152463i 0.00851544 0.0205581i
\(56\) 0.373080 0.640659i 0.0498549 0.0856117i
\(57\) −1.50123 + 1.63491i −0.198842 + 0.216550i
\(58\) −4.76044 7.86701i −0.625076 1.03299i
\(59\) −3.86117 2.57995i −0.502681 0.335881i 0.278239 0.960512i \(-0.410249\pi\)
−0.780920 + 0.624631i \(0.785249\pi\)
\(60\) −0.235302 0.110733i −0.0303773 0.0142955i
\(61\) −0.853477 + 4.29072i −0.109277 + 0.549370i 0.886897 + 0.461968i \(0.152857\pi\)
−0.996173 + 0.0874022i \(0.972143\pi\)
\(62\) 10.5643 9.65624i 1.34167 1.22634i
\(63\) −0.601331 0.506693i −0.0757606 0.0638373i
\(64\) −2.12818 + 7.71173i −0.266022 + 0.963967i
\(65\) 0.0678815i 0.00841967i
\(66\) −2.07189 + 4.96998i −0.255032 + 0.611762i
\(67\) 1.79590 + 0.357228i 0.219405 + 0.0436423i 0.303568 0.952810i \(-0.401822\pi\)
−0.0841638 + 0.996452i \(0.526822\pi\)
\(68\) −3.02433 3.62252i −0.366753 0.439295i
\(69\) −0.516636 + 3.33378i −0.0621957 + 0.401340i
\(70\) 0.0238084 0.0144068i 0.00284565 0.00172194i
\(71\) −5.21738 + 2.16111i −0.619190 + 0.256477i −0.670152 0.742224i \(-0.733771\pi\)
0.0509625 + 0.998701i \(0.483771\pi\)
\(72\) 7.66937 + 3.63053i 0.903844 + 0.427862i
\(73\) 10.0231 + 4.15171i 1.17312 + 0.485921i 0.882222 0.470834i \(-0.156047\pi\)
0.290895 + 0.956755i \(0.406047\pi\)
\(74\) 0.978810 + 6.41248i 0.113784 + 0.745436i
\(75\) 5.10793 + 6.98141i 0.589813 + 0.806144i
\(76\) 1.22717 + 2.25009i 0.140766 + 0.258103i
\(77\) −0.320114 0.479085i −0.0364804 0.0545967i
\(78\) −0.00503859 + 2.21489i −0.000570508 + 0.250786i
\(79\) −5.93698 5.93698i −0.667963 0.667963i 0.289281 0.957244i \(-0.406584\pi\)
−0.957244 + 0.289281i \(0.906584\pi\)
\(80\) −0.208728 + 0.215880i −0.0233365 + 0.0241361i
\(81\) 5.19254 7.35102i 0.576949 0.816780i
\(82\) 6.87472 2.49251i 0.759186 0.275252i
\(83\) 6.79190 + 10.1648i 0.745508 + 1.11573i 0.989299 + 0.145904i \(0.0466091\pi\)
−0.243790 + 0.969828i \(0.578391\pi\)
\(84\) −0.777906 + 0.468308i −0.0848765 + 0.0510965i
\(85\) −0.0345567 0.173728i −0.00374820 0.0188435i
\(86\) 8.01040 10.8963i 0.863783 1.17498i
\(87\) 0.479635 + 11.2516i 0.0514222 + 1.20629i
\(88\) 4.65927 + 4.11693i 0.496680 + 0.438867i
\(89\) −13.5709 + 5.62127i −1.43852 + 0.595853i −0.959438 0.281919i \(-0.909029\pi\)
−0.479079 + 0.877772i \(0.659029\pi\)
\(90\) 0.187483 + 0.257475i 0.0197624 + 0.0271402i
\(91\) −0.197067 0.131676i −0.0206583 0.0138034i
\(92\) 3.45084 + 1.80732i 0.359775 + 0.188426i
\(93\) −17.0311 + 4.14888i −1.76604 + 0.430219i
\(94\) 16.0735 + 0.721820i 1.65785 + 0.0744500i
\(95\) 0.0962031i 0.00987023i
\(96\) 6.82656 7.02837i 0.696733 0.717331i
\(97\) 13.0044i 1.32039i −0.751092 0.660197i \(-0.770473\pi\)
0.751092 0.660197i \(-0.229527\pi\)
\(98\) −0.439755 + 9.79246i −0.0444220 + 0.989188i
\(99\) 5.15161 4.11717i 0.517756 0.413791i
\(100\) 9.53386 2.97995i 0.953386 0.297995i
\(101\) 9.68443 + 6.47093i 0.963637 + 0.643882i 0.934601 0.355697i \(-0.115756\pi\)
0.0290356 + 0.999578i \(0.490756\pi\)
\(102\) 1.11465 + 5.67110i 0.110366 + 0.561523i
\(103\) 12.4024 5.13724i 1.22204 0.506187i 0.323985 0.946062i \(-0.394977\pi\)
0.898059 + 0.439875i \(0.144977\pi\)
\(104\) 2.41872 + 0.831127i 0.237175 + 0.0814987i
\(105\) −0.0340512 + 0.00145155i −0.00332306 + 0.000141656i
\(106\) −7.55902 5.55698i −0.734197 0.539741i
\(107\) 2.77724 + 13.9621i 0.268486 + 1.34977i 0.845910 + 0.533326i \(0.179058\pi\)
−0.577424 + 0.816445i \(0.695942\pi\)
\(108\) −6.09821 8.41498i −0.586800 0.809732i
\(109\) 5.47007 + 8.18653i 0.523937 + 0.784128i 0.995200 0.0978654i \(-0.0312015\pi\)
−0.471262 + 0.881993i \(0.656201\pi\)
\(110\) 0.0795478 + 0.219405i 0.00758459 + 0.0209194i
\(111\) 2.72491 7.46270i 0.258637 0.708328i
\(112\) 0.221831 + 1.02472i 0.0209611 + 0.0968272i
\(113\) −7.56860 7.56860i −0.711994 0.711994i 0.254958 0.966952i \(-0.417938\pi\)
−0.966952 + 0.254958i \(0.917938\pi\)
\(114\) 0.00714080 3.13898i 0.000668797 0.293993i
\(115\) 0.0812350 + 0.121577i 0.00757521 + 0.0113371i
\(116\) 12.4754 + 3.66994i 1.15831 + 0.340746i
\(117\) 1.30967 2.37558i 0.121079 0.219623i
\(118\) 6.49211 0.990964i 0.597647 0.0912256i
\(119\) −0.571385 0.236676i −0.0523788 0.0216960i
\(120\) 0.351275 0.108920i 0.0320668 0.00994296i
\(121\) −5.69827 + 2.36030i −0.518024 + 0.214573i
\(122\) −3.20300 5.29322i −0.289986 0.479226i
\(123\) −8.85044 1.37155i −0.798018 0.123669i
\(124\) −1.81428 + 20.1594i −0.162927 + 1.81037i
\(125\) 0.735875 + 0.146375i 0.0658186 + 0.0130921i
\(126\) 1.11115 0.0448346i 0.0989895 0.00399418i
\(127\) 0.413244i 0.0366695i 0.999832 + 0.0183347i \(0.00583646\pi\)
−0.999832 + 0.0183347i \(0.994164\pi\)
\(128\) −5.13649 10.0805i −0.454006 0.890999i
\(129\) −15.0187 + 6.98451i −1.32232 + 0.614951i
\(130\) 0.0647678 + 0.0708585i 0.00568052 + 0.00621470i
\(131\) −1.04858 + 5.27154i −0.0916144 + 0.460577i 0.907559 + 0.419925i \(0.137944\pi\)
−0.999173 + 0.0406521i \(0.987056\pi\)
\(132\) −2.57926 7.16480i −0.224495 0.623616i
\(133\) 0.279288 + 0.186614i 0.0242173 + 0.0161815i
\(134\) −2.21551 + 1.34063i −0.191391 + 0.115813i
\(135\) −0.0497199 0.386901i −0.00427921 0.0332991i
\(136\) 6.61332 + 0.895784i 0.567087 + 0.0768129i
\(137\) 5.79645 13.9939i 0.495224 1.19558i −0.456804 0.889567i \(-0.651006\pi\)
0.952028 0.306010i \(-0.0989941\pi\)
\(138\) −2.64157 3.97292i −0.224865 0.338198i
\(139\) 1.71904 + 8.64218i 0.145807 + 0.733021i 0.982634 + 0.185554i \(0.0594078\pi\)
−0.836827 + 0.547467i \(0.815592\pi\)
\(140\) −0.0111066 + 0.0377549i −0.000938675 + 0.00319087i
\(141\) −16.8361 10.2402i −1.41786 0.862377i
\(142\) 3.38421 7.23395i 0.283997 0.607060i
\(143\) 1.40552 1.40552i 0.117535 0.117535i
\(144\) −11.4697 + 3.52783i −0.955810 + 0.293986i
\(145\) 0.345148 + 0.345148i 0.0286630 + 0.0286630i
\(146\) −14.4240 + 5.22958i −1.19374 + 0.432803i
\(147\) 6.23863 10.2571i 0.514554 0.845991i
\(148\) −7.14008 5.75979i −0.586911 0.473452i
\(149\) −6.01868 + 1.19719i −0.493069 + 0.0980776i −0.435361 0.900256i \(-0.643379\pi\)
−0.0577083 + 0.998333i \(0.518379\pi\)
\(150\) −11.9931 2.41395i −0.979234 0.197099i
\(151\) 7.84809 + 3.25079i 0.638669 + 0.264545i 0.678431 0.734664i \(-0.262660\pi\)
−0.0397624 + 0.999209i \(0.512660\pi\)
\(152\) −3.42786 1.17789i −0.278036 0.0955395i
\(153\) 2.14247 6.74652i 0.173208 0.545424i
\(154\) 0.791262 + 0.194664i 0.0637617 + 0.0156865i
\(155\) −0.422098 + 0.631715i −0.0339038 + 0.0507406i
\(156\) −2.10803 2.31683i −0.168778 0.185495i
\(157\) −12.5487 2.49608i −1.00149 0.199209i −0.332998 0.942927i \(-0.608060\pi\)
−0.668493 + 0.743718i \(0.733060\pi\)
\(158\) 11.8620 + 0.532694i 0.943691 + 0.0423788i
\(159\) 4.84530 + 10.4188i 0.384257 + 0.826264i
\(160\) 0.0119050 0.424501i 0.000941176 0.0335598i
\(161\) 0.510530 0.0402354
\(162\) 1.59358 + 12.6278i 0.125203 + 0.992131i
\(163\) 1.41044 7.09076i 0.110474 0.555391i −0.885414 0.464803i \(-0.846125\pi\)
0.995888 0.0905883i \(-0.0288747\pi\)
\(164\) −4.79803 + 9.16120i −0.374663 + 0.715370i
\(165\) 0.0437728 0.282460i 0.00340770 0.0219894i
\(166\) −16.7883 4.13022i −1.30303 0.320567i
\(167\) −5.06460 12.2270i −0.391911 0.946156i −0.989524 0.144371i \(-0.953884\pi\)
0.597613 0.801785i \(-0.296116\pi\)
\(168\) 0.365195 1.23107i 0.0281754 0.0949791i
\(169\) −4.66199 + 11.2550i −0.358615 + 0.865773i
\(170\) 0.201832 + 0.148376i 0.0154798 + 0.0113799i
\(171\) −1.85609 + 3.36672i −0.141939 + 0.257460i
\(172\) 2.03484 + 19.0172i 0.155155 + 1.45005i
\(173\) 20.0687 13.4095i 1.52580 1.01950i 0.541966 0.840400i \(-0.317680\pi\)
0.983830 0.179104i \(-0.0573200\pi\)
\(174\) −11.2361 11.2874i −0.851808 0.855693i
\(175\) 0.925671 0.925671i 0.0699742 0.0699742i
\(176\) −8.79170 + 0.148066i −0.662699 + 0.0111609i
\(177\) −7.55536 2.75875i −0.567896 0.207360i
\(178\) 8.80268 18.8162i 0.659789 1.41034i
\(179\) 10.2002 6.81555i 0.762398 0.509418i −0.112543 0.993647i \(-0.535900\pi\)
0.874941 + 0.484229i \(0.160900\pi\)
\(180\) −0.441369 0.0898833i −0.0328977 0.00669951i
\(181\) 10.3436 2.05747i 0.768834 0.152931i 0.204936 0.978775i \(-0.434301\pi\)
0.563897 + 0.825845i \(0.309301\pi\)
\(182\) 0.331346 0.0505771i 0.0245610 0.00374903i
\(183\) 0.322716 + 7.57046i 0.0238559 + 0.559625i
\(184\) −5.32659 + 1.40597i −0.392682 + 0.103649i
\(185\) −0.131773 0.318128i −0.00968815 0.0233893i
\(186\) 13.8194 20.5807i 1.01329 1.50905i
\(187\) 2.88161 4.31264i 0.210724 0.315371i
\(188\) −17.4671 + 14.5827i −1.27392 + 1.06355i
\(189\) −1.21966 0.606166i −0.0887173 0.0440921i
\(190\) −0.0917903 0.100422i −0.00665917 0.00728539i
\(191\) 27.5926 1.99653 0.998265 0.0588807i \(-0.0187532\pi\)
0.998265 + 0.0588807i \(0.0187532\pi\)
\(192\) −0.419955 + 13.8500i −0.0303076 + 0.999541i
\(193\) −5.03806 −0.362648 −0.181324 0.983423i \(-0.558038\pi\)
−0.181324 + 0.983423i \(0.558038\pi\)
\(194\) 12.4079 + 13.5747i 0.890834 + 0.974606i
\(195\) −0.0278280 0.114234i −0.00199280 0.00818043i
\(196\) −8.88425 10.6415i −0.634589 0.760107i
\(197\) 7.59394 11.3651i 0.541046 0.809732i −0.455718 0.890124i \(-0.650617\pi\)
0.996763 + 0.0803923i \(0.0256173\pi\)
\(198\) −1.44921 + 9.21304i −0.102991 + 0.654742i
\(199\) 4.56453 + 11.0197i 0.323571 + 0.781169i 0.999041 + 0.0437818i \(0.0139407\pi\)
−0.675470 + 0.737387i \(0.736059\pi\)
\(200\) −7.10871 + 12.2072i −0.502662 + 0.863179i
\(201\) 3.16866 0.135075i 0.223500 0.00952743i
\(202\) −16.2833 + 2.48550i −1.14569 + 0.174879i
\(203\) 1.67152 0.332486i 0.117318 0.0233359i
\(204\) −6.57450 4.85629i −0.460307 0.340008i
\(205\) −0.322759 + 0.215661i −0.0225425 + 0.0150624i
\(206\) −8.04471 + 17.1960i −0.560501 + 1.19811i
\(207\) 0.497268 + 5.82201i 0.0345625 + 0.404657i
\(208\) −3.31780 + 1.44020i −0.230048 + 0.0998600i
\(209\) −1.99193 + 1.99193i −0.137784 + 0.137784i
\(210\) 0.0341596 0.0340045i 0.00235724 0.00234653i
\(211\) 2.76673 1.84867i 0.190470 0.127268i −0.456679 0.889631i \(-0.650961\pi\)
0.647149 + 0.762364i \(0.275961\pi\)
\(212\) 13.1926 1.41161i 0.906072 0.0969500i
\(213\) −7.89406 + 5.77566i −0.540892 + 0.395742i
\(214\) −16.2207 11.9246i −1.10883 0.815149i
\(215\) −0.274728 + 0.663251i −0.0187363 + 0.0452334i
\(216\) 14.3946 + 2.96554i 0.979431 + 0.201779i
\(217\) 1.01515 + 2.45079i 0.0689130 + 0.166371i
\(218\) −13.5210 3.32640i −0.915757 0.225292i
\(219\) 18.5693 + 2.87768i 1.25479 + 0.194456i
\(220\) −0.292377 0.153128i −0.0197121 0.0103239i
\(221\) 0.416231 2.09254i 0.0279988 0.140759i
\(222\) 4.27597 + 10.3899i 0.286985 + 0.697324i
\(223\) −12.6115 −0.844531 −0.422265 0.906472i \(-0.638765\pi\)
−0.422265 + 0.906472i \(0.638765\pi\)
\(224\) −1.20928 0.858007i −0.0807984 0.0573280i
\(225\) 11.4578 + 9.65459i 0.763856 + 0.643639i
\(226\) 15.1220 + 0.679090i 1.00590 + 0.0451724i
\(227\) −13.6050 2.70621i −0.902997 0.179617i −0.278309 0.960492i \(-0.589774\pi\)
−0.624688 + 0.780874i \(0.714774\pi\)
\(228\) 2.98754 + 3.28346i 0.197855 + 0.217452i
\(229\) −0.0914294 + 0.136834i −0.00604182 + 0.00904223i −0.834478 0.551041i \(-0.814231\pi\)
0.828436 + 0.560083i \(0.189231\pi\)
\(230\) −0.200798 0.0493998i −0.0132402 0.00325733i
\(231\) −0.735100 0.674991i −0.0483661 0.0444111i
\(232\) −16.5241 + 8.07225i −1.08486 + 0.529969i
\(233\) 15.0334 + 6.22705i 0.984873 + 0.407948i 0.816229 0.577729i \(-0.196061\pi\)
0.168645 + 0.985677i \(0.446061\pi\)
\(234\) 0.899513 + 3.72936i 0.0588030 + 0.243796i
\(235\) −0.837684 + 0.166626i −0.0546445 + 0.0108695i
\(236\) −5.83131 + 7.22874i −0.379586 + 0.470551i
\(237\) −12.4248 7.55711i −0.807080 0.490887i
\(238\) 0.822263 0.298121i 0.0532994 0.0193243i
\(239\) −9.91200 9.91200i −0.641154 0.641154i 0.309685 0.950839i \(-0.399776\pi\)
−0.950839 + 0.309685i \(0.899776\pi\)
\(240\) −0.262756 + 0.448858i −0.0169608 + 0.0289737i
\(241\) 6.54008 6.54008i 0.421283 0.421283i −0.464362 0.885645i \(-0.653716\pi\)
0.885645 + 0.464362i \(0.153716\pi\)
\(242\) 3.69613 7.90070i 0.237596 0.507877i
\(243\) 5.72465 14.4993i 0.367236 0.930128i
\(244\) 8.39389 + 2.46927i 0.537364 + 0.158079i
\(245\) −0.101514 0.510344i −0.00648548 0.0326047i
\(246\) 10.5472 7.01278i 0.672467 0.447118i
\(247\) −0.443436 + 1.07055i −0.0282151 + 0.0681174i
\(248\) −17.3409 22.7746i −1.10115 1.44619i
\(249\) 15.5967 + 14.3214i 0.988402 + 0.907580i
\(250\) −0.907807 + 0.549327i −0.0574148 + 0.0347425i
\(251\) −18.8565 12.5995i −1.19021 0.795273i −0.207106 0.978318i \(-0.566405\pi\)
−0.983105 + 0.183045i \(0.941405\pi\)
\(252\) −1.11711 + 1.10699i −0.0703711 + 0.0697337i
\(253\) −0.835295 + 4.19931i −0.0525145 + 0.264008i
\(254\) −0.394289 0.431367i −0.0247399 0.0270664i
\(255\) −0.129373 0.278190i −0.00810167 0.0174209i
\(256\) 14.9799 + 5.62170i 0.936242 + 0.351356i
\(257\) 0.247927i 0.0154652i 0.999970 + 0.00773262i \(0.00246139\pi\)
−0.999970 + 0.00773262i \(0.997539\pi\)
\(258\) 9.01324 21.6206i 0.561140 1.34604i
\(259\) −1.17917 0.234552i −0.0732703 0.0145744i
\(260\) −0.135217 0.0121690i −0.00838577 0.000754691i
\(261\) 5.41972 + 18.7379i 0.335472 + 1.15985i
\(262\) −3.93518 6.50321i −0.243116 0.401769i
\(263\) 24.7866 10.2669i 1.52841 0.633087i 0.549153 0.835722i \(-0.314950\pi\)
0.979254 + 0.202635i \(0.0649504\pi\)
\(264\) 9.52852 + 5.01807i 0.586440 + 0.308841i
\(265\) 0.460111 + 0.190584i 0.0282644 + 0.0117075i
\(266\) −0.469591 + 0.0716789i −0.0287924 + 0.00439492i
\(267\) −20.5333 + 15.0231i −1.25661 + 0.919398i
\(268\) 1.03353 3.51331i 0.0631328 0.214610i
\(269\) −7.89201 11.8112i −0.481184 0.720143i 0.508868 0.860845i \(-0.330064\pi\)
−0.990052 + 0.140701i \(0.955064\pi\)
\(270\) 0.421055 + 0.356429i 0.0256246 + 0.0216916i
\(271\) −7.91386 7.91386i −0.480733 0.480733i 0.424633 0.905366i \(-0.360403\pi\)
−0.905366 + 0.424633i \(0.860403\pi\)
\(272\) −7.75804 + 5.37490i −0.470400 + 0.325901i
\(273\) −0.385613 0.140802i −0.0233384 0.00852172i
\(274\) 7.30133 + 20.1382i 0.441089 + 1.21659i
\(275\) 6.09949 + 9.12853i 0.367813 + 0.550471i
\(276\) 6.54811 + 1.62676i 0.394150 + 0.0979192i
\(277\) −4.80902 24.1766i −0.288946 1.45263i −0.803568 0.595213i \(-0.797068\pi\)
0.514622 0.857417i \(-0.327932\pi\)
\(278\) −10.0402 7.38101i −0.602171 0.442683i
\(279\) −26.9597 + 13.9638i −1.61403 + 0.835989i
\(280\) −0.0244295 0.0500078i −0.00145994 0.00298854i
\(281\) −21.3506 + 8.84369i −1.27367 + 0.527570i −0.914077 0.405540i \(-0.867084\pi\)
−0.359590 + 0.933110i \(0.617084\pi\)
\(282\) 27.3449 5.37461i 1.62837 0.320053i
\(283\) −2.13260 1.42496i −0.126770 0.0847050i 0.490569 0.871403i \(-0.336789\pi\)
−0.617339 + 0.786698i \(0.711789\pi\)
\(284\) 3.36951 + 10.7802i 0.199944 + 0.639686i
\(285\) 0.0394384 + 0.161894i 0.00233613 + 0.00958978i
\(286\) −0.126110 + 2.80820i −0.00745701 + 0.166053i
\(287\) 1.35534i 0.0800034i
\(288\) 8.60671 14.6262i 0.507155 0.861855i
\(289\) 11.4327i 0.672512i
\(290\) −0.689602 0.0309683i −0.0404948 0.00181852i
\(291\) −5.33114 21.8843i −0.312517 1.28288i
\(292\) 10.0668 19.2213i 0.589116 1.12484i
\(293\) 15.6865 + 10.4814i 0.916416 + 0.612329i 0.921804 0.387656i \(-0.126715\pi\)
−0.00538828 + 0.999985i \(0.501715\pi\)
\(294\) 3.27438 + 16.6594i 0.190966 + 0.971596i
\(295\) −0.322079 + 0.133409i −0.0187522 + 0.00776740i
\(296\) 12.9488 0.800183i 0.752634 0.0465097i
\(297\) 6.98148 9.04043i 0.405107 0.524579i
\(298\) 5.14036 6.99230i 0.297773 0.405053i
\(299\) 0.343591 + 1.72735i 0.0198704 + 0.0998953i
\(300\) 14.8223 8.92318i 0.855766 0.515180i
\(301\) 1.39257 + 2.08414i 0.0802667 + 0.120128i
\(302\) −11.2940 + 4.09476i −0.649894 + 0.235627i
\(303\) 18.9501 + 6.91939i 1.08865 + 0.397509i
\(304\) 4.70206 2.04108i 0.269681 0.117064i
\(305\) 0.232229 + 0.232229i 0.0132974 + 0.0132974i
\(306\) 4.20063 + 9.08659i 0.240134 + 0.519446i
\(307\) 7.34995 + 11.0000i 0.419484 + 0.627802i 0.979682 0.200556i \(-0.0642750\pi\)
−0.560198 + 0.828359i \(0.689275\pi\)
\(308\) −1.01170 + 0.551766i −0.0576469 + 0.0314398i
\(309\) 18.7652 13.7295i 1.06751 0.781044i
\(310\) −0.162129 1.06216i −0.00920830 0.0603264i
\(311\) −4.34991 1.80179i −0.246661 0.102170i 0.255928 0.966696i \(-0.417619\pi\)
−0.502589 + 0.864526i \(0.667619\pi\)
\(312\) 4.41104 + 0.407096i 0.249726 + 0.0230473i
\(313\) −8.83610 + 3.66003i −0.499446 + 0.206877i −0.618162 0.786051i \(-0.712122\pi\)
0.118716 + 0.992928i \(0.462122\pi\)
\(314\) 15.4806 9.36751i 0.873619 0.528639i
\(315\) −0.0567076 + 0.0164020i −0.00319511 + 0.000924148i
\(316\) −12.8905 + 10.7619i −0.725146 + 0.605402i
\(317\) −1.84684 0.367359i −0.103729 0.0206329i 0.142953 0.989729i \(-0.454340\pi\)
−0.246682 + 0.969097i \(0.579340\pi\)
\(318\) −14.9987 6.25267i −0.841084 0.350632i
\(319\) 14.2929i 0.800249i
\(320\) 0.392603 + 0.454477i 0.0219472 + 0.0254060i
\(321\) 10.3974 + 22.3575i 0.580327 + 1.24787i
\(322\) −0.532920 + 0.487112i −0.0296984 + 0.0271457i
\(323\) −0.589892 + 2.96559i −0.0328225 + 0.165010i
\(324\) −13.7120 11.6611i −0.761778 0.647838i
\(325\) 3.75494 + 2.50897i 0.208287 + 0.139173i
\(326\) 5.29321 + 8.74747i 0.293164 + 0.484477i
\(327\) 12.5613 + 11.5342i 0.694641 + 0.637840i
\(328\) −3.73253 14.1409i −0.206095 0.780802i
\(329\) −1.14120 + 2.75511i −0.0629166 + 0.151894i
\(330\) 0.223811 + 0.336612i 0.0123204 + 0.0185299i
\(331\) −5.48542 27.5771i −0.301506 1.51577i −0.773286 0.634057i \(-0.781388\pi\)
0.471780 0.881716i \(-0.343612\pi\)
\(332\) 21.4653 11.7069i 1.17806 0.642500i
\(333\) 1.52626 13.6756i 0.0836383 0.749417i
\(334\) 16.9529 + 7.93096i 0.927621 + 0.433963i
\(335\) 0.0972006 0.0972006i 0.00531064 0.00531064i
\(336\) 0.793391 + 1.63350i 0.0432830 + 0.0891149i
\(337\) −14.8867 14.8867i −0.810928 0.810928i 0.173845 0.984773i \(-0.444381\pi\)
−0.984773 + 0.173845i \(0.944381\pi\)
\(338\) −5.87234 16.1968i −0.319413 0.880990i
\(339\) −15.8395 9.63397i −0.860281 0.523246i
\(340\) −0.352253 + 0.0376912i −0.0191036 + 0.00204409i
\(341\) −21.8197 + 4.34020i −1.18160 + 0.235035i
\(342\) −1.27481 5.28532i −0.0689337 0.285797i
\(343\) −3.37364 1.39741i −0.182159 0.0754528i
\(344\) −20.2690 17.9097i −1.09283 0.965625i
\(345\) 0.186546 + 0.171292i 0.0100433 + 0.00922204i
\(346\) −8.15443 + 33.1458i −0.438385 + 1.78193i
\(347\) −10.7084 + 16.0262i −0.574855 + 0.860332i −0.998975 0.0452745i \(-0.985584\pi\)
0.424119 + 0.905606i \(0.360584\pi\)
\(348\) 22.4985 + 1.06164i 1.20605 + 0.0569100i
\(349\) 18.0984 + 3.59999i 0.968783 + 0.192703i 0.654028 0.756470i \(-0.273078\pi\)
0.314755 + 0.949173i \(0.398078\pi\)
\(350\) −0.0830555 + 1.84948i −0.00443950 + 0.0988588i
\(351\) 1.23009 4.53461i 0.0656572 0.242040i
\(352\) 9.03599 8.54299i 0.481620 0.455343i
\(353\) 10.1922 0.542474 0.271237 0.962513i \(-0.412567\pi\)
0.271237 + 0.962513i \(0.412567\pi\)
\(354\) 10.5189 4.32907i 0.559074 0.230087i
\(355\) −0.0827081 + 0.415802i −0.00438969 + 0.0220685i
\(356\) 8.76444 + 28.0404i 0.464514 + 1.48614i
\(357\) −1.05857 0.164047i −0.0560257 0.00868230i
\(358\) −4.14460 + 16.8468i −0.219049 + 0.890379i
\(359\) 6.12003 + 14.7751i 0.323003 + 0.779798i 0.999077 + 0.0429641i \(0.0136801\pi\)
−0.676074 + 0.736834i \(0.736320\pi\)
\(360\) 0.546486 0.327299i 0.0288024 0.0172502i
\(361\) −6.64254 + 16.0365i −0.349607 + 0.844027i
\(362\) −8.83413 + 12.0168i −0.464311 + 0.631591i
\(363\) −8.62165 + 6.30800i −0.452519 + 0.331084i
\(364\) −0.297620 + 0.368943i −0.0155995 + 0.0193379i
\(365\) 0.677187 0.452482i 0.0354456 0.0236840i
\(366\) −7.56008 7.59456i −0.395172 0.396974i
\(367\) −9.95497 + 9.95497i −0.519645 + 0.519645i −0.917464 0.397819i \(-0.869767\pi\)
0.397819 + 0.917464i \(0.369767\pi\)
\(368\) 4.21872 6.54990i 0.219916 0.341437i
\(369\) −15.4561 + 1.32014i −0.804614 + 0.0687235i
\(370\) 0.441088 + 0.206351i 0.0229311 + 0.0107277i
\(371\) 1.44581 0.966058i 0.0750626 0.0501552i
\(372\) 5.21122 + 34.6688i 0.270189 + 1.79749i
\(373\) −19.3566 + 3.85026i −1.00224 + 0.199359i −0.668825 0.743420i \(-0.733203\pi\)
−0.333420 + 0.942779i \(0.608203\pi\)
\(374\) 1.10683 + 7.25121i 0.0572330 + 0.374951i
\(375\) 1.29836 0.0553470i 0.0670472 0.00285811i
\(376\) 4.31930 31.8881i 0.222751 1.64450i
\(377\) 2.24990 + 5.43173i 0.115876 + 0.279748i
\(378\) 1.85151 0.530967i 0.0952315 0.0273100i
\(379\) 0.800844 1.19855i 0.0411366 0.0615653i −0.810331 0.585972i \(-0.800713\pi\)
0.851468 + 0.524407i \(0.175713\pi\)
\(380\) 0.191632 + 0.0172462i 0.00983050 + 0.000884711i
\(381\) 0.169409 + 0.695423i 0.00867910 + 0.0356276i
\(382\) −28.8027 + 26.3269i −1.47367 + 1.34700i
\(383\) 21.7067 1.10916 0.554580 0.832130i \(-0.312879\pi\)
0.554580 + 0.832130i \(0.312879\pi\)
\(384\) −12.7764 14.8581i −0.651992 0.758226i
\(385\) −0.0432554 −0.00220450
\(386\) 5.25901 4.80697i 0.267677 0.244668i
\(387\) −22.4108 + 17.9107i −1.13920 + 0.910452i
\(388\) −25.9041 2.33128i −1.31508 0.118353i
\(389\) 17.4324 26.0894i 0.883858 1.32279i −0.0619565 0.998079i \(-0.519734\pi\)
0.945814 0.324708i \(-0.105266\pi\)
\(390\) 0.138042 + 0.0926917i 0.00699004 + 0.00469363i
\(391\) 1.75870 + 4.24588i 0.0889413 + 0.214723i
\(392\) 19.4273 + 2.63145i 0.981225 + 0.132908i
\(393\) 0.396486 + 9.30101i 0.0200001 + 0.469174i
\(394\) 2.91685 + 19.1092i 0.146949 + 0.962706i
\(395\) −0.618201 + 0.122968i −0.0311050 + 0.00618718i
\(396\) −7.27767 10.9998i −0.365717 0.552762i
\(397\) 10.9547 7.31968i 0.549799 0.367364i −0.249428 0.968393i \(-0.580242\pi\)
0.799227 + 0.601029i \(0.205242\pi\)
\(398\) −15.2790 7.14786i −0.765866 0.358290i
\(399\) 0.546499 + 0.199547i 0.0273591 + 0.00998986i
\(400\) −4.22680 19.5252i −0.211340 0.976259i
\(401\) −20.2825 + 20.2825i −1.01286 + 1.01286i −0.0129431 + 0.999916i \(0.504120\pi\)
−0.999916 + 0.0129431i \(0.995880\pi\)
\(402\) −3.17874 + 3.16431i −0.158541 + 0.157822i
\(403\) −7.60892 + 5.08412i −0.379027 + 0.253258i
\(404\) 14.6259 18.1309i 0.727665 0.902044i
\(405\) −0.242280 0.630709i −0.0120390 0.0313402i
\(406\) −1.42759 + 1.94192i −0.0708501 + 0.0963757i
\(407\) 3.85857 9.31541i 0.191262 0.461748i
\(408\) 11.4964 1.20367i 0.569155 0.0595905i
\(409\) −6.31288 15.2406i −0.312152 0.753601i −0.999625 0.0273914i \(-0.991280\pi\)
0.687473 0.726210i \(-0.258720\pi\)
\(410\) 0.131145 0.533073i 0.00647681 0.0263266i
\(411\) 4.01770 25.9257i 0.198179 1.27882i
\(412\) −8.00976 25.6259i −0.394613 1.26250i
\(413\) −0.237465 + 1.19382i −0.0116849 + 0.0587439i
\(414\) −6.07403 5.60287i −0.298522 0.275366i
\(415\) 0.917756 0.0450509
\(416\) 2.08916 4.66898i 0.102430 0.228916i
\(417\) 6.43572 + 13.8387i 0.315159 + 0.677683i
\(418\) 0.178725 3.97984i 0.00874172 0.194661i
\(419\) −31.4491 6.25562i −1.53639 0.305607i −0.646904 0.762571i \(-0.723937\pi\)
−0.889485 + 0.456964i \(0.848937\pi\)
\(420\) −0.00321291 + 0.0680885i −0.000156774 + 0.00332238i
\(421\) −9.69566 + 14.5106i −0.472537 + 0.707202i −0.988803 0.149226i \(-0.952322\pi\)
0.516266 + 0.856428i \(0.327322\pi\)
\(422\) −1.12419 + 4.56957i −0.0547249 + 0.222443i
\(423\) −32.5304 10.3306i −1.58168 0.502289i
\(424\) −12.4243 + 14.0610i −0.603378 + 0.682862i
\(425\) 10.8872 + 4.50964i 0.528109 + 0.218750i
\(426\) 2.72952 13.5609i 0.132246 0.657029i
\(427\) 1.12466 0.223709i 0.0544262 0.0108260i
\(428\) 28.3097 3.02915i 1.36840 0.146420i
\(429\) 1.78906 2.94145i 0.0863769 0.142014i
\(430\) −0.346053 0.954465i −0.0166881 0.0460284i
\(431\) −13.1610 13.1610i −0.633944 0.633944i 0.315111 0.949055i \(-0.397958\pi\)
−0.949055 + 0.315111i \(0.897958\pi\)
\(432\) −17.8554 + 10.6388i −0.859070 + 0.511858i
\(433\) 18.5364 18.5364i 0.890803 0.890803i −0.103795 0.994599i \(-0.533099\pi\)
0.994599 + 0.103795i \(0.0330987\pi\)
\(434\) −3.39805 1.58969i −0.163112 0.0763074i
\(435\) 0.722322 + 0.439335i 0.0346327 + 0.0210645i
\(436\) 17.2878 9.42851i 0.827934 0.451544i
\(437\) −0.486945 2.44804i −0.0232937 0.117105i
\(438\) −22.1293 + 14.7136i −1.05738 + 0.703044i
\(439\) 8.76979 21.1722i 0.418559 1.01049i −0.564206 0.825634i \(-0.690818\pi\)
0.982765 0.184858i \(-0.0591824\pi\)
\(440\) 0.451304 0.119123i 0.0215151 0.00567896i
\(441\) 6.29371 19.8186i 0.299700 0.943741i
\(442\) 1.56207 + 2.58145i 0.0743000 + 0.122787i
\(443\) 5.76224 + 3.85021i 0.273773 + 0.182929i 0.684876 0.728660i \(-0.259856\pi\)
−0.411103 + 0.911589i \(0.634856\pi\)
\(444\) −14.3768 6.76572i −0.682294 0.321087i
\(445\) −0.215132 + 1.08154i −0.0101982 + 0.0512700i
\(446\) 13.1646 12.0331i 0.623363 0.569781i
\(447\) −9.63767 + 4.48203i −0.455846 + 0.211993i
\(448\) 2.08096 0.258176i 0.0983163 0.0121977i
\(449\) 6.65138i 0.313898i 0.987607 + 0.156949i \(0.0501659\pi\)
−0.987607 + 0.156949i \(0.949834\pi\)
\(450\) −21.1721 + 0.854283i −0.998061 + 0.0402713i
\(451\) −11.1482 2.21752i −0.524950 0.104419i
\(452\) −16.4331 + 13.7195i −0.772947 + 0.645309i
\(453\) 14.5397 + 2.25322i 0.683136 + 0.105866i
\(454\) 16.7838 10.1561i 0.787701 0.476649i
\(455\) −0.0164384 + 0.00680899i −0.000770642 + 0.000319210i
\(456\) −6.25141 0.576945i −0.292749 0.0270179i
\(457\) −15.3039 6.33908i −0.715886 0.296530i −0.00514839 0.999987i \(-0.501639\pi\)
−0.710738 + 0.703457i \(0.751639\pi\)
\(458\) −0.0351182 0.230070i −0.00164097 0.0107505i
\(459\) 0.839694 12.2316i 0.0391935 0.570922i
\(460\) 0.256738 0.140021i 0.0119705 0.00652852i
\(461\) 14.2247 + 21.2887i 0.662509 + 0.991515i 0.998762 + 0.0497436i \(0.0158404\pi\)
−0.336253 + 0.941772i \(0.609160\pi\)
\(462\) 1.41137 + 0.00321069i 0.0656628 + 0.000149375i
\(463\) 9.91878 + 9.91878i 0.460965 + 0.460965i 0.898972 0.438007i \(-0.144315\pi\)
−0.438007 + 0.898972i \(0.644315\pi\)
\(464\) 9.54679 24.1924i 0.443198 1.12310i
\(465\) −0.451352 + 1.23611i −0.0209309 + 0.0573233i
\(466\) −21.6342 + 7.84372i −1.00218 + 0.363353i
\(467\) 2.12128 + 3.17472i 0.0981612 + 0.146909i 0.877299 0.479944i \(-0.159343\pi\)
−0.779138 + 0.626852i \(0.784343\pi\)
\(468\) −4.49726 3.03466i −0.207886 0.140277i
\(469\) −0.0936346 0.470733i −0.00432365 0.0217364i
\(470\) 0.715439 0.973194i 0.0330007 0.0448901i
\(471\) −22.1406 + 0.943817i −1.02019 + 0.0434888i
\(472\) −0.810119 13.1096i −0.0372887 0.603418i
\(473\) −19.4213 + 8.04455i −0.892991 + 0.369889i
\(474\) 20.1802 3.96639i 0.926908 0.182182i
\(475\) −5.32158 3.55577i −0.244171 0.163150i
\(476\) −0.573877 + 1.09574i −0.0263036 + 0.0502233i
\(477\) 12.4250 + 15.5468i 0.568903 + 0.711839i
\(478\) 19.8040 + 0.889350i 0.905815 + 0.0406779i
\(479\) 4.64745i 0.212347i −0.994348 0.106174i \(-0.966140\pi\)
0.994348 0.106174i \(-0.0338599\pi\)
\(480\) −0.153990 0.719247i −0.00702865 0.0328290i
\(481\) 4.14753i 0.189111i
\(482\) −0.586806 + 13.0670i −0.0267283 + 0.595185i
\(483\) 0.859139 0.209292i 0.0390922 0.00952310i
\(484\) 3.68008 + 11.7738i 0.167276 + 0.535172i
\(485\) −0.811728 0.542380i −0.0368587 0.0246282i
\(486\) 7.85848 + 20.5972i 0.356468 + 0.934308i
\(487\) 18.0003 7.45596i 0.815670 0.337862i 0.0644565 0.997921i \(-0.479469\pi\)
0.751214 + 0.660059i \(0.229469\pi\)
\(488\) −11.1180 + 5.43131i −0.503289 + 0.245864i
\(489\) −0.533314 12.5108i −0.0241173 0.565758i
\(490\) 0.592901 + 0.435868i 0.0267845 + 0.0196905i
\(491\) 2.10722 + 10.5937i 0.0950974 + 0.478087i 0.998757 + 0.0498362i \(0.0158699\pi\)
−0.903660 + 0.428251i \(0.859130\pi\)
\(492\) −4.31867 + 17.3838i −0.194701 + 0.783720i
\(493\) 8.52329 + 12.7560i 0.383870 + 0.574502i
\(494\) −0.558561 1.54059i −0.0251308 0.0693146i
\(495\) −0.0421318 0.493278i −0.00189368 0.0221712i
\(496\) 39.8313 + 7.22791i 1.78848 + 0.324543i
\(497\) 1.04668 + 1.04668i 0.0469500 + 0.0469500i
\(498\) −29.9452 0.0681216i −1.34188 0.00305260i
\(499\) 19.8260 + 29.6718i 0.887535 + 1.32829i 0.944021 + 0.329887i \(0.107011\pi\)
−0.0564854 + 0.998403i \(0.517989\pi\)
\(500\) 0.423490 1.43958i 0.0189390 0.0643802i
\(501\) −13.5354 18.4999i −0.604716 0.826513i
\(502\) 31.7050 4.83950i 1.41506 0.215997i
\(503\) −0.0322396 0.0133541i −0.00143749 0.000595428i 0.381965 0.924177i \(-0.375248\pi\)
−0.383402 + 0.923582i \(0.625248\pi\)
\(504\) 0.109887 2.22140i 0.00489476 0.0989491i
\(505\) 0.807826 0.334612i 0.0359478 0.0148901i
\(506\) −3.13476 5.18045i −0.139357 0.230299i
\(507\) −3.23137 + 20.8516i −0.143510 + 0.926052i
\(508\) 0.823162 + 0.0740817i 0.0365219 + 0.00328684i
\(509\) −3.75595 0.747106i −0.166480 0.0331149i 0.111147 0.993804i \(-0.464548\pi\)
−0.277626 + 0.960689i \(0.589548\pi\)
\(510\) 0.400477 + 0.166951i 0.0177334 + 0.00739273i
\(511\) 2.84367i 0.125796i
\(512\) −21.0007 + 8.42452i −0.928107 + 0.372315i
\(513\) −1.74330 + 6.42655i −0.0769688 + 0.283739i
\(514\) −0.236555 0.258800i −0.0104340 0.0114152i
\(515\) 0.196608 0.988414i 0.00866357 0.0435547i
\(516\) 11.2204 + 31.1686i 0.493950 + 1.37212i
\(517\) −20.7947 13.8946i −0.914549 0.611082i
\(518\) 1.45468 0.880248i 0.0639150 0.0386759i
\(519\) 28.2752 30.7932i 1.24114 1.35167i
\(520\) 0.152757 0.116312i 0.00669885 0.00510060i
\(521\) 5.37144 12.9678i 0.235327 0.568130i −0.761461 0.648210i \(-0.775518\pi\)
0.996788 + 0.0800804i \(0.0255177\pi\)
\(522\) −23.5358 14.3885i −1.03013 0.629770i
\(523\) −2.63083 13.2261i −0.115038 0.578337i −0.994707 0.102750i \(-0.967236\pi\)
0.879669 0.475587i \(-0.157764\pi\)
\(524\) 10.3127 + 3.03373i 0.450511 + 0.132529i
\(525\) 1.17828 1.93723i 0.0514241 0.0845478i
\(526\) −16.0776 + 34.3669i −0.701018 + 1.49847i
\(527\) −16.8852 + 16.8852i −0.735533 + 0.735533i
\(528\) −14.7343 + 3.85332i −0.641228 + 0.167694i
\(529\) 13.5809 + 13.5809i 0.590475 + 0.590475i
\(530\) −0.662132 + 0.240064i −0.0287612 + 0.0104277i
\(531\) −13.8454 1.54521i −0.600839 0.0670563i
\(532\) 0.421794 0.522873i 0.0182871 0.0226694i
\(533\) −4.58573 + 0.912158i −0.198630 + 0.0395100i
\(534\) 7.09976 35.2733i 0.307237 1.52643i
\(535\) 0.987343 + 0.408971i 0.0426866 + 0.0176814i
\(536\) 2.27330 + 4.65351i 0.0981918 + 0.201001i
\(537\) 14.3712 15.6510i 0.620164 0.675392i
\(538\) 19.5076 + 4.79920i 0.841031 + 0.206908i
\(539\) 8.46501 12.6688i 0.364614 0.545683i
\(540\) −0.779600 + 0.0296803i −0.0335487 + 0.00127724i
\(541\) 26.2221 + 5.21590i 1.12738 + 0.224249i 0.723339 0.690494i \(-0.242607\pi\)
0.404037 + 0.914743i \(0.367607\pi\)
\(542\) 15.8118 + 0.710069i 0.679175 + 0.0305001i
\(543\) 16.5631 7.70274i 0.710792 0.330556i
\(544\) 2.96992 13.0128i 0.127334 0.557920i
\(545\) 0.739143 0.0316614
\(546\) 0.536868 0.220948i 0.0229758 0.00945572i
\(547\) −6.71870 + 33.7772i −0.287271 + 1.44421i 0.520070 + 0.854124i \(0.325906\pi\)
−0.807341 + 0.590085i \(0.799094\pi\)
\(548\) −26.8360 14.0549i −1.14638 0.600396i
\(549\) 3.64659 + 12.6076i 0.155633 + 0.538078i
\(550\) −15.0768 3.70916i −0.642877 0.158159i
\(551\) −3.18860 7.69796i −0.135839 0.327944i
\(552\) −8.38741 + 4.54965i −0.356992 + 0.193646i
\(553\) −0.842194 + 2.03324i −0.0358137 + 0.0864620i
\(554\) 28.0875 + 20.6484i 1.19333 + 0.877267i
\(555\) −0.352169 0.481338i −0.0149488 0.0204317i
\(556\) 17.5230 1.87496i 0.743139 0.0795161i
\(557\) −11.7060 + 7.82170i −0.495999 + 0.331416i −0.778282 0.627915i \(-0.783908\pi\)
0.282282 + 0.959331i \(0.408908\pi\)
\(558\) 14.8188 40.2992i 0.627328 1.70600i
\(559\) −6.11434 + 6.11434i −0.258609 + 0.258609i
\(560\) 0.0732148 + 0.0288920i 0.00309389 + 0.00122091i
\(561\) 3.08132 8.43878i 0.130093 0.356286i
\(562\) 13.8489 29.6028i 0.584179 1.24872i
\(563\) 1.45663 0.973290i 0.0613897 0.0410193i −0.524497 0.851412i \(-0.675746\pi\)
0.585886 + 0.810393i \(0.300746\pi\)
\(564\) −23.4161 + 31.7009i −0.985995 + 1.33485i
\(565\) −0.788096 + 0.156762i −0.0331554 + 0.00659503i
\(566\) 3.58572 0.547330i 0.150719 0.0230060i
\(567\) −2.30099 0.520079i −0.0966325 0.0218413i
\(568\) −13.8030 8.03800i −0.579161 0.337267i
\(569\) −3.39021 8.18469i −0.142125 0.343120i 0.836748 0.547588i \(-0.184454\pi\)
−0.978873 + 0.204468i \(0.934454\pi\)
\(570\) −0.195636 0.131365i −0.00819430 0.00550226i
\(571\) 18.1245 27.1252i 0.758486 1.13515i −0.228373 0.973574i \(-0.573341\pi\)
0.986859 0.161581i \(-0.0516593\pi\)
\(572\) −2.54775 3.05168i −0.106527 0.127597i
\(573\) 46.4338 11.3116i 1.93980 0.472548i
\(574\) −1.29317 1.41478i −0.0539761 0.0590519i
\(575\) −9.72770 −0.405673
\(576\) 4.97110 + 23.4795i 0.207129 + 0.978314i
\(577\) 18.8087 0.783017 0.391509 0.920174i \(-0.371953\pi\)
0.391509 + 0.920174i \(0.371953\pi\)
\(578\) −10.9083 11.9341i −0.453725 0.496393i
\(579\) −8.47824 + 2.06535i −0.352344 + 0.0858331i
\(580\) 0.749392 0.625644i 0.0311168 0.0259784i
\(581\) 1.78026 2.66435i 0.0738576 0.110536i
\(582\) 26.4454 + 17.7574i 1.09620 + 0.736068i
\(583\) 5.58067 + 13.4729i 0.231128 + 0.557992i
\(584\) 7.83129 + 29.6693i 0.324061 + 1.22772i
\(585\) −0.0936600 0.180828i −0.00387236 0.00747633i
\(586\) −26.3751 + 4.02593i −1.08954 + 0.166309i
\(587\) 34.1088 6.78466i 1.40782 0.280033i 0.568059 0.822988i \(-0.307694\pi\)
0.839762 + 0.542955i \(0.182694\pi\)
\(588\) −19.3132 14.2658i −0.796464 0.588312i
\(589\) 10.7835 7.20532i 0.444327 0.296890i
\(590\) 0.208914 0.446565i 0.00860084 0.0183848i
\(591\) 8.12023 22.2388i 0.334022 0.914782i
\(592\) −12.7532 + 13.1901i −0.524154 + 0.542111i
\(593\) −1.14918 + 1.14918i −0.0471910 + 0.0471910i −0.730308 0.683118i \(-0.760624\pi\)
0.683118 + 0.730308i \(0.260624\pi\)
\(594\) 1.33809 + 16.0982i 0.0549025 + 0.660515i
\(595\) −0.0386042 + 0.0257945i −0.00158262 + 0.00105747i
\(596\) 1.30578 + 12.2035i 0.0534869 + 0.499876i
\(597\) 12.1989 + 16.6732i 0.499268 + 0.682389i
\(598\) −2.00678 1.47527i −0.0820633 0.0603284i
\(599\) 1.00985 2.43798i 0.0412612 0.0996132i −0.901905 0.431934i \(-0.857831\pi\)
0.943167 + 0.332320i \(0.107831\pi\)
\(600\) −6.95847 + 23.4569i −0.284078 + 0.957625i
\(601\) −1.00588 2.42841i −0.0410307 0.0990568i 0.902036 0.431662i \(-0.142073\pi\)
−0.943066 + 0.332605i \(0.892073\pi\)
\(602\) −3.44218 0.846838i −0.140293 0.0345145i
\(603\) 5.27697 1.52630i 0.214895 0.0621557i
\(604\) 7.88232 15.0502i 0.320727 0.612386i
\(605\) −0.0903312 + 0.454126i −0.00367249 + 0.0184628i
\(606\) −26.3832 + 10.8580i −1.07174 + 0.441076i
\(607\) 42.0620 1.70725 0.853623 0.520892i \(-0.174400\pi\)
0.853623 + 0.520892i \(0.174400\pi\)
\(608\) −2.96081 + 6.61697i −0.120077 + 0.268354i
\(609\) 2.67659 1.24476i 0.108461 0.0504402i
\(610\) −0.463990 0.0208366i −0.0187864 0.000843651i
\(611\) −10.0898 2.00699i −0.408190 0.0811940i
\(612\) −13.0546 5.47713i −0.527703 0.221400i
\(613\) −16.8711 + 25.2494i −0.681417 + 1.01981i 0.316055 + 0.948741i \(0.397642\pi\)
−0.997471 + 0.0710711i \(0.977358\pi\)
\(614\) −18.1677 4.46958i −0.733189 0.180377i
\(615\) −0.454741 + 0.495237i −0.0183369 + 0.0199699i
\(616\) 0.529610 1.54126i 0.0213386 0.0620990i
\(617\) 15.9796 + 6.61898i 0.643316 + 0.266470i 0.680399 0.732842i \(-0.261807\pi\)
−0.0370828 + 0.999312i \(0.511807\pi\)
\(618\) −6.48842 + 32.2361i −0.261003 + 1.29672i
\(619\) 34.6693 6.89615i 1.39348 0.277180i 0.559432 0.828876i \(-0.311019\pi\)
0.834045 + 0.551696i \(0.186019\pi\)
\(620\) 1.18268 + 0.954045i 0.0474974 + 0.0383154i
\(621\) 3.22355 + 9.59363i 0.129357 + 0.384979i
\(622\) 6.25983 2.26958i 0.250996 0.0910017i
\(623\) 2.72252 + 2.72252i 0.109075 + 0.109075i
\(624\) −4.99291 + 3.78376i −0.199876 + 0.151471i
\(625\) −17.6179 + 17.6179i −0.704717 + 0.704717i
\(626\) 5.73146 12.2513i 0.229075 0.489662i
\(627\) −2.53550 + 4.16868i −0.101258 + 0.166481i
\(628\) −7.22165 + 24.5488i −0.288175 + 0.979604i
\(629\) −2.11140 10.6147i −0.0841870 0.423237i
\(630\) 0.0435449 0.0712278i 0.00173487 0.00283778i
\(631\) 1.74700 4.21763i 0.0695470 0.167901i −0.885284 0.465051i \(-0.846036\pi\)
0.954831 + 0.297150i \(0.0960360\pi\)
\(632\) 3.18759 23.5330i 0.126795 0.936094i
\(633\) 3.89810 4.24523i 0.154935 0.168733i
\(634\) 2.27834 1.37866i 0.0904845 0.0547534i
\(635\) 0.0257945 + 0.0172354i 0.00102363 + 0.000683964i
\(636\) 21.6223 7.78382i 0.857381 0.308649i
\(637\) 1.22272 6.14703i 0.0484459 0.243554i
\(638\) −13.6373 14.9197i −0.539906 0.590678i
\(639\) −10.9167 + 12.9557i −0.431858 + 0.512518i
\(640\) −0.843451 0.0998140i −0.0333403 0.00394549i
\(641\) 31.5734i 1.24708i −0.781793 0.623538i \(-0.785695\pi\)
0.781793 0.623538i \(-0.214305\pi\)
\(642\) −32.1854 13.4175i −1.27025 0.529545i
\(643\) 24.3933 + 4.85212i 0.961976 + 0.191349i 0.651008 0.759071i \(-0.274347\pi\)
0.310969 + 0.950420i \(0.399347\pi\)
\(644\) 0.0915220 1.01695i 0.00360647 0.0400734i
\(645\) −0.190422 + 1.22877i −0.00749787 + 0.0483827i
\(646\) −2.21380 3.65848i −0.0871006 0.143941i
\(647\) −17.3176 + 7.17319i −0.680826 + 0.282007i −0.696172 0.717875i \(-0.745115\pi\)
0.0153463 + 0.999882i \(0.495115\pi\)
\(648\) 25.4396 0.910562i 0.999360 0.0357703i
\(649\) −9.43108 3.90648i −0.370202 0.153343i
\(650\) −6.31351 + 0.963702i −0.247636 + 0.0377995i
\(651\) 2.71304 + 3.70813i 0.106332 + 0.145333i
\(652\) −13.8716 4.08067i −0.543253 0.159812i
\(653\) 18.8122 + 28.1544i 0.736178 + 1.10177i 0.990880 + 0.134748i \(0.0430225\pi\)
−0.254702 + 0.967020i \(0.581977\pi\)
\(654\) −24.1173 0.0548638i −0.943060 0.00214535i
\(655\) 0.285314 + 0.285314i 0.0111482 + 0.0111482i
\(656\) 17.3885 + 11.1998i 0.678907 + 0.437277i
\(657\) 32.4288 2.76980i 1.26517 0.108060i
\(658\) −1.43748 3.96479i −0.0560389 0.154564i
\(659\) 2.59960 + 3.89057i 0.101266 + 0.151555i 0.878642 0.477481i \(-0.158450\pi\)
−0.777376 + 0.629036i \(0.783450\pi\)
\(660\) −0.554798 0.137829i −0.0215955 0.00536500i
\(661\) −5.49642 27.6324i −0.213786 1.07477i −0.927353 0.374187i \(-0.877922\pi\)
0.713567 0.700587i \(-0.247078\pi\)
\(662\) 32.0381 + 23.5527i 1.24520 + 0.915401i
\(663\) −0.157385 3.69203i −0.00611233 0.143387i
\(664\) −11.2368 + 32.7011i −0.436073 + 1.26905i
\(665\) 0.0232968 0.00964984i 0.000903410 0.000374205i
\(666\) 11.4551 + 15.7316i 0.443876 + 0.609586i
\(667\) −10.5299 7.03582i −0.407718 0.272428i
\(668\) −25.2636 + 7.89651i −0.977476 + 0.305525i
\(669\) −21.2232 + 5.17009i −0.820535 + 0.199887i
\(670\) −0.00872129 + 0.194205i −0.000336933 + 0.00750281i
\(671\) 9.61679i 0.371252i
\(672\) −2.38676 0.948142i −0.0920713 0.0365754i
\(673\) 11.0254i 0.424996i 0.977161 + 0.212498i \(0.0681599\pi\)
−0.977161 + 0.212498i \(0.931840\pi\)
\(674\) 29.7433 + 1.33570i 1.14567 + 0.0514492i
\(675\) 23.2396 + 11.5500i 0.894491 + 0.444558i
\(676\) 21.5837 + 11.3041i 0.830144 + 0.434774i
\(677\) −10.9422 7.31133i −0.420542 0.280997i 0.327240 0.944941i \(-0.393881\pi\)
−0.747782 + 0.663944i \(0.768881\pi\)
\(678\) 25.7262 5.05644i 0.988008 0.194192i
\(679\) −3.14917 + 1.30443i −0.120854 + 0.0500594i
\(680\) 0.331739 0.375440i 0.0127216 0.0143975i
\(681\) −24.0045 + 1.02327i −0.919853 + 0.0392118i
\(682\) 18.6355 25.3494i 0.713589 0.970677i
\(683\) −6.11205 30.7273i −0.233871 1.17575i −0.902011 0.431713i \(-0.857909\pi\)
0.668140 0.744036i \(-0.267091\pi\)
\(684\) 6.37360 + 4.30078i 0.243701 + 0.164444i
\(685\) −0.631737 0.945461i −0.0241374 0.0361242i
\(686\) 4.85490 1.76020i 0.185361 0.0672048i
\(687\) −0.0977658 + 0.267750i −0.00373000 + 0.0102153i
\(688\) 38.2460 0.644123i 1.45812 0.0245570i
\(689\) 4.24165 + 4.24165i 0.161594 + 0.161594i
\(690\) −0.358162 0.000814773i −0.0136350 3.10179e-5i
\(691\) 3.78957 + 5.67149i 0.144162 + 0.215754i 0.896523 0.442998i \(-0.146085\pi\)
−0.752361 + 0.658751i \(0.771085\pi\)
\(692\) −23.1133 42.3798i −0.878637 1.61104i
\(693\) −1.51377 0.834545i −0.0575032 0.0317017i
\(694\) −4.11311 26.9462i −0.156131 1.02286i
\(695\) 0.611138 + 0.253142i 0.0231818 + 0.00960222i
\(696\) −24.4981 + 20.3583i −0.928600 + 0.771680i
\(697\) −11.2719 + 4.66896i −0.426952 + 0.176849i
\(698\) −22.3269 + 13.5103i −0.845087 + 0.511374i
\(699\) 27.8516 + 4.31616i 1.05344 + 0.163252i
\(700\) −1.67795 2.00983i −0.0634204 0.0759646i
\(701\) −45.6378 9.07793i −1.72372 0.342869i −0.768743 0.639558i \(-0.779118\pi\)
−0.954974 + 0.296689i \(0.904118\pi\)
\(702\) 3.04258 + 5.90715i 0.114835 + 0.222951i
\(703\) 5.87796i 0.221692i
\(704\) −1.28114 + 17.5392i −0.0482846 + 0.661032i
\(705\) −1.34138 + 0.623813i −0.0505192 + 0.0234941i
\(706\) −10.6392 + 9.72466i −0.400410 + 0.365992i
\(707\) 0.595600 2.99429i 0.0223999 0.112612i
\(708\) −6.84973 + 14.5553i −0.257429 + 0.547023i
\(709\) −32.9914 22.0441i −1.23902 0.827885i −0.248955 0.968515i \(-0.580087\pi\)
−0.990062 + 0.140630i \(0.955087\pi\)
\(710\) −0.310394 0.512951i −0.0116489 0.0192507i
\(711\) −24.0070 7.62383i −0.900334 0.285916i
\(712\) −35.9030 20.9077i −1.34552 0.783547i
\(713\) 7.54344 18.2115i 0.282504 0.682025i
\(714\) 1.26152 0.838776i 0.0472112 0.0313904i
\(715\) −0.0291113 0.146352i −0.00108870 0.00547327i
\(716\) −11.7477 21.5401i −0.439030 0.804990i
\(717\) −20.7437 12.6169i −0.774687 0.471185i
\(718\) −20.4858 9.58372i −0.764522 0.357661i
\(719\) −27.3837 + 27.3837i −1.02124 + 1.02124i −0.0214686 + 0.999770i \(0.506834\pi\)
−0.999770 + 0.0214686i \(0.993166\pi\)
\(720\) −0.258167 + 0.863072i −0.00962130 + 0.0321648i
\(721\) −2.48809 2.48809i −0.0926614 0.0926614i
\(722\) −8.36708 23.0776i −0.311390 0.858861i
\(723\) 8.32478 13.6870i 0.309602 0.509025i
\(724\) −2.24409 20.9728i −0.0834011 0.779447i
\(725\) −31.8493 + 6.33523i −1.18285 + 0.235284i
\(726\) 2.98110 14.8108i 0.110639 0.549681i
\(727\) 0.372141 + 0.154146i 0.0138019 + 0.00571695i 0.389574 0.920995i \(-0.372622\pi\)
−0.375772 + 0.926712i \(0.622622\pi\)
\(728\) −0.0413471 0.669092i −0.00153243 0.0247982i
\(729\) 3.68969 26.7467i 0.136655 0.990619i
\(730\) −0.275158 + 1.11845i −0.0101841 + 0.0413957i
\(731\) −12.5357 + 18.7610i −0.463650 + 0.693902i
\(732\) 15.1378 + 0.714313i 0.559510 + 0.0264018i
\(733\) −20.6905 4.11560i −0.764223 0.152013i −0.202436 0.979295i \(-0.564886\pi\)
−0.561787 + 0.827282i \(0.689886\pi\)
\(734\) 0.893206 19.8899i 0.0329688 0.734149i
\(735\) −0.380047 0.817211i −0.0140182 0.0301433i
\(736\) 1.84573 + 10.8624i 0.0680344 + 0.400392i
\(737\) 4.02516 0.148269
\(738\) 14.8744 16.1252i 0.547533 0.593577i
\(739\) −1.24476 + 6.25783i −0.0457892 + 0.230198i −0.996903 0.0786433i \(-0.974941\pi\)
0.951114 + 0.308841i \(0.0999412\pi\)
\(740\) −0.657319 + 0.205455i −0.0241635 + 0.00755268i
\(741\) −0.307359 + 1.98335i −0.0112911 + 0.0728600i
\(742\) −0.587469 + 2.38791i −0.0215667 + 0.0876631i
\(743\) 14.4970 + 34.9988i 0.531843 + 1.28398i 0.930302 + 0.366795i \(0.119545\pi\)
−0.398459 + 0.917186i \(0.630455\pi\)
\(744\) −38.5183 31.2170i −1.41215 1.14447i
\(745\) −0.176296 + 0.425615i −0.00645897 + 0.0155933i
\(746\) 16.5318 22.4878i 0.605272 0.823337i
\(747\) 32.1178 + 17.7067i 1.17513 + 0.647853i
\(748\) −8.07397 6.51315i −0.295214 0.238144i
\(749\) 3.10253 2.07304i 0.113364 0.0757474i
\(750\) −1.30250 + 1.29658i −0.0475604 + 0.0473445i
\(751\) 16.0660 16.0660i 0.586258 0.586258i −0.350358 0.936616i \(-0.613940\pi\)
0.936616 + 0.350358i \(0.113940\pi\)
\(752\) 25.9167 + 37.4078i 0.945085 + 1.36412i
\(753\) −36.8976 13.4727i −1.34462 0.490972i
\(754\) −7.53115 3.52325i −0.274268 0.128309i
\(755\) 0.530237 0.354293i 0.0192973 0.0128940i
\(756\) −1.42610 + 2.32084i −0.0518667 + 0.0844081i
\(757\) −46.1515 + 9.18010i −1.67740 + 0.333656i −0.939838 0.341619i \(-0.889025\pi\)
−0.737566 + 0.675276i \(0.764025\pi\)
\(758\) 0.307606 + 2.01522i 0.0111728 + 0.0731961i
\(759\) 0.315841 + 7.40918i 0.0114643 + 0.268936i
\(760\) −0.216491 + 0.164839i −0.00785295 + 0.00597934i
\(761\) −13.3019 32.1135i −0.482192 1.16412i −0.958566 0.284872i \(-0.908049\pi\)
0.476373 0.879243i \(-0.341951\pi\)
\(762\) −0.840363 0.564282i −0.0304431 0.0204418i
\(763\) 1.43379 2.14581i 0.0519065 0.0776836i
\(764\) 4.94649 54.9631i 0.178958 1.98849i
\(765\) −0.331758 0.415112i −0.0119947 0.0150084i
\(766\) −22.6587 + 20.7110i −0.818691 + 0.748320i
\(767\) −4.19903 −0.151618
\(768\) 27.5133 + 3.31941i 0.992801 + 0.119779i
\(769\) −29.4345 −1.06144 −0.530718 0.847549i \(-0.678078\pi\)
−0.530718 + 0.847549i \(0.678078\pi\)
\(770\) 0.0451524 0.0412713i 0.00162718 0.00148732i
\(771\) 0.101638 + 0.417220i 0.00366039 + 0.0150258i
\(772\) −0.903167 + 10.0356i −0.0325057 + 0.361188i