Properties

Label 546.2.bu.a.197.1
Level $546$
Weight $2$
Character 546.197
Analytic conductor $4.360$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bu (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 197.1
Character \(\chi\) \(=\) 546.197
Dual form 546.2.bu.a.449.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.258819 + 0.965926i) q^{2} +(-1.73063 - 0.0700467i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(2.88717 + 2.88717i) q^{5} +(0.515581 - 1.65353i) q^{6} +(0.965926 - 0.258819i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.99019 + 0.242450i) q^{9} +O(q^{10})\) \(q+(-0.258819 + 0.965926i) q^{2} +(-1.73063 - 0.0700467i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(2.88717 + 2.88717i) q^{5} +(0.515581 - 1.65353i) q^{6} +(0.965926 - 0.258819i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.99019 + 0.242450i) q^{9} +(-3.53605 + 2.04154i) q^{10} +(-0.842051 - 0.225627i) q^{11} +(1.46375 + 0.925979i) q^{12} +(3.56233 - 0.556602i) q^{13} +1.00000i q^{14} +(-4.79440 - 5.19887i) q^{15} +(0.500000 + 0.866025i) q^{16} +(1.95846 - 3.39216i) q^{17} +(-1.00811 + 2.82555i) q^{18} +(-0.0297774 - 0.111131i) q^{19} +(-1.05678 - 3.94395i) q^{20} +(-1.68979 + 0.380261i) q^{21} +(0.435878 - 0.754962i) q^{22} +(2.17326 + 3.76420i) q^{23} +(-1.27327 + 1.17421i) q^{24} +11.6715i q^{25} +(-0.384362 + 3.58501i) q^{26} +(-5.15794 - 0.629046i) q^{27} +(-0.965926 - 0.258819i) q^{28} +(1.16799 - 0.674338i) q^{29} +(6.26261 - 3.28547i) q^{30} +(1.36887 - 1.36887i) q^{31} +(-0.965926 + 0.258819i) q^{32} +(1.44148 + 0.449460i) q^{33} +(2.76969 + 2.76969i) q^{34} +(3.53605 + 2.04154i) q^{35} +(-2.46835 - 1.70506i) q^{36} +(-1.56223 + 5.83031i) q^{37} +0.115051 q^{38} +(-6.20408 + 0.713745i) q^{39} +4.08308 q^{40} +(-2.40225 + 8.96532i) q^{41} +(0.0700467 - 1.73063i) q^{42} +(-5.15560 - 2.97658i) q^{43} +(0.616424 + 0.616424i) q^{44} +(7.93319 + 9.33318i) q^{45} +(-4.19842 + 1.12496i) q^{46} +(-8.16800 + 8.16800i) q^{47} +(-0.804655 - 1.53380i) q^{48} +(0.866025 - 0.500000i) q^{49} +(-11.2738 - 3.02081i) q^{50} +(-3.62699 + 5.73340i) q^{51} +(-3.36337 - 1.29913i) q^{52} +0.161836i q^{53} +(1.94258 - 4.81937i) q^{54} +(-1.77972 - 3.08257i) q^{55} +(0.500000 - 0.866025i) q^{56} +(0.0437494 + 0.194412i) q^{57} +(0.349063 + 1.30272i) q^{58} +(0.0250135 + 0.0933515i) q^{59} +(1.55264 + 6.89956i) q^{60} +(6.92750 - 11.9988i) q^{61} +(0.967936 + 1.67651i) q^{62} +(2.95105 - 0.539728i) q^{63} -1.00000i q^{64} +(11.8921 + 8.67805i) q^{65} +(-0.807227 + 1.27603i) q^{66} +(15.2291 + 4.08063i) q^{67} +(-3.39216 + 1.95846i) q^{68} +(-3.49745 - 6.66668i) q^{69} +(-2.88717 + 2.88717i) q^{70} +(4.81143 - 1.28922i) q^{71} +(2.28582 - 1.94294i) q^{72} +(-7.81198 - 7.81198i) q^{73} +(-5.22732 - 3.01799i) q^{74} +(0.817552 - 20.1991i) q^{75} +(-0.0297774 + 0.111131i) q^{76} -0.871755 q^{77} +(0.916308 - 6.17741i) q^{78} -9.72142 q^{79} +(-1.05678 + 3.94395i) q^{80} +(8.88244 + 1.44994i) q^{81} +(-8.03809 - 4.64079i) q^{82} +(0.690982 + 0.690982i) q^{83} +(1.65353 + 0.515581i) q^{84} +(15.4482 - 4.13933i) q^{85} +(4.20953 - 4.20953i) q^{86} +(-2.06860 + 1.08522i) q^{87} +(-0.754962 + 0.435878i) q^{88} +(-8.60332 - 2.30525i) q^{89} +(-11.0684 + 5.24727i) q^{90} +(3.29689 - 1.45964i) q^{91} -4.34652i q^{92} +(-2.46489 + 2.27312i) q^{93} +(-5.77565 - 10.0037i) q^{94} +(0.234881 - 0.406826i) q^{95} +(1.68979 - 0.380261i) q^{96} +(-0.809999 - 3.02296i) q^{97} +(0.258819 + 0.965926i) q^{98} +(-2.46319 - 0.878822i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 8q^{6} + 24q^{9} + O(q^{10}) \) \( 56q - 8q^{6} + 24q^{9} + 24q^{10} - 8q^{11} + 24q^{13} - 4q^{15} + 28q^{16} + 4q^{17} + 8q^{19} + 4q^{21} + 8q^{23} + 8q^{24} + 4q^{26} - 24q^{27} - 16q^{30} - 8q^{31} - 32q^{33} - 24q^{34} - 24q^{35} - 12q^{36} - 8q^{37} - 60q^{39} + 28q^{41} - 8q^{44} - 40q^{45} - 20q^{46} - 64q^{50} + 8q^{54} + 8q^{55} + 28q^{56} + 40q^{57} + 4q^{58} + 8q^{59} + 4q^{60} + 8q^{61} + 32q^{62} + 24q^{65} + 32q^{66} - 56q^{69} + 112q^{71} + 16q^{72} + 8q^{73} - 48q^{74} - 40q^{75} + 8q^{76} - 8q^{78} + 16q^{79} + 12q^{81} + 4q^{83} - 4q^{84} + 32q^{85} + 16q^{86} + 144q^{87} - 88q^{89} + 8q^{90} - 8q^{91} - 76q^{93} - 8q^{94} + 48q^{95} - 4q^{96} - 64q^{97} - 40q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{1}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.258819 + 0.965926i −0.183013 + 0.683013i
\(3\) −1.73063 0.0700467i −0.999182 0.0404415i
\(4\) −0.866025 0.500000i −0.433013 0.250000i
\(5\) 2.88717 + 2.88717i 1.29118 + 1.29118i 0.934056 + 0.357127i \(0.116244\pi\)
0.357127 + 0.934056i \(0.383756\pi\)
\(6\) 0.515581 1.65353i 0.210485 0.675053i
\(7\) 0.965926 0.258819i 0.365086 0.0978244i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) 2.99019 + 0.242450i 0.996729 + 0.0808168i
\(10\) −3.53605 + 2.04154i −1.11820 + 0.645591i
\(11\) −0.842051 0.225627i −0.253888 0.0680291i 0.129630 0.991562i \(-0.458621\pi\)
−0.383518 + 0.923533i \(0.625288\pi\)
\(12\) 1.46375 + 0.925979i 0.422548 + 0.267307i
\(13\) 3.56233 0.556602i 0.988013 0.154374i
\(14\) 1.00000i 0.267261i
\(15\) −4.79440 5.19887i −1.23791 1.34234i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) 1.95846 3.39216i 0.474997 0.822720i −0.524593 0.851353i \(-0.675782\pi\)
0.999590 + 0.0286338i \(0.00911565\pi\)
\(18\) −1.00811 + 2.82555i −0.237613 + 0.665988i
\(19\) −0.0297774 0.111131i −0.00683140 0.0254951i 0.962426 0.271544i \(-0.0875343\pi\)
−0.969257 + 0.246049i \(0.920868\pi\)
\(20\) −1.05678 3.94395i −0.236303 0.881894i
\(21\) −1.68979 + 0.380261i −0.368743 + 0.0829798i
\(22\) 0.435878 0.754962i 0.0929294 0.160958i
\(23\) 2.17326 + 3.76420i 0.453156 + 0.784890i 0.998580 0.0532707i \(-0.0169646\pi\)
−0.545424 + 0.838160i \(0.683631\pi\)
\(24\) −1.27327 + 1.17421i −0.259906 + 0.239685i
\(25\) 11.6715i 2.33431i
\(26\) −0.384362 + 3.58501i −0.0753796 + 0.703077i
\(27\) −5.15794 0.629046i −0.992645 0.121060i
\(28\) −0.965926 0.258819i −0.182543 0.0489122i
\(29\) 1.16799 0.674338i 0.216890 0.125222i −0.387619 0.921820i \(-0.626703\pi\)
0.604509 + 0.796598i \(0.293369\pi\)
\(30\) 6.26261 3.28547i 1.14339 0.599842i
\(31\) 1.36887 1.36887i 0.245856 0.245856i −0.573412 0.819268i \(-0.694380\pi\)
0.819268 + 0.573412i \(0.194380\pi\)
\(32\) −0.965926 + 0.258819i −0.170753 + 0.0457532i
\(33\) 1.44148 + 0.449460i 0.250929 + 0.0782410i
\(34\) 2.76969 + 2.76969i 0.474997 + 0.474997i
\(35\) 3.53605 + 2.04154i 0.597701 + 0.345083i
\(36\) −2.46835 1.70506i −0.411392 0.284177i
\(37\) −1.56223 + 5.83031i −0.256829 + 0.958498i 0.710235 + 0.703964i \(0.248589\pi\)
−0.967064 + 0.254533i \(0.918078\pi\)
\(38\) 0.115051 0.0186637
\(39\) −6.20408 + 0.713745i −0.993447 + 0.114291i
\(40\) 4.08308 0.645591
\(41\) −2.40225 + 8.96532i −0.375169 + 1.40015i 0.477930 + 0.878398i \(0.341387\pi\)
−0.853098 + 0.521750i \(0.825279\pi\)
\(42\) 0.0700467 1.73063i 0.0108084 0.267043i
\(43\) −5.15560 2.97658i −0.786221 0.453925i 0.0524096 0.998626i \(-0.483310\pi\)
−0.838630 + 0.544701i \(0.816643\pi\)
\(44\) 0.616424 + 0.616424i 0.0929294 + 0.0929294i
\(45\) 7.93319 + 9.33318i 1.18261 + 1.39131i
\(46\) −4.19842 + 1.12496i −0.619023 + 0.165867i
\(47\) −8.16800 + 8.16800i −1.19143 + 1.19143i −0.214758 + 0.976667i \(0.568896\pi\)
−0.976667 + 0.214758i \(0.931104\pi\)
\(48\) −0.804655 1.53380i −0.116142 0.221384i
\(49\) 0.866025 0.500000i 0.123718 0.0714286i
\(50\) −11.2738 3.02081i −1.59436 0.427207i
\(51\) −3.62699 + 5.73340i −0.507881 + 0.802837i
\(52\) −3.36337 1.29913i −0.466415 0.180157i
\(53\) 0.161836i 0.0222298i 0.999938 + 0.0111149i \(0.00353806\pi\)
−0.999938 + 0.0111149i \(0.996462\pi\)
\(54\) 1.94258 4.81937i 0.264352 0.655834i
\(55\) −1.77972 3.08257i −0.239978 0.415654i
\(56\) 0.500000 0.866025i 0.0668153 0.115728i
\(57\) 0.0437494 + 0.194412i 0.00579475 + 0.0257505i
\(58\) 0.349063 + 1.30272i 0.0458343 + 0.171056i
\(59\) 0.0250135 + 0.0933515i 0.00325648 + 0.0121533i 0.967535 0.252737i \(-0.0813308\pi\)
−0.964278 + 0.264891i \(0.914664\pi\)
\(60\) 1.55264 + 6.89956i 0.200444 + 0.890729i
\(61\) 6.92750 11.9988i 0.886975 1.53629i 0.0435421 0.999052i \(-0.486136\pi\)
0.843433 0.537234i \(-0.180531\pi\)
\(62\) 0.967936 + 1.67651i 0.122928 + 0.212918i
\(63\) 2.95105 0.539728i 0.371797 0.0679994i
\(64\) 1.00000i 0.125000i
\(65\) 11.8921 + 8.67805i 1.47503 + 1.07638i
\(66\) −0.807227 + 1.27603i −0.0993628 + 0.157069i
\(67\) 15.2291 + 4.08063i 1.86053 + 0.498528i 0.999942 0.0107703i \(-0.00342836\pi\)
0.860590 + 0.509298i \(0.170095\pi\)
\(68\) −3.39216 + 1.95846i −0.411360 + 0.237499i
\(69\) −3.49745 6.66668i −0.421043 0.802574i
\(70\) −2.88717 + 2.88717i −0.345083 + 0.345083i
\(71\) 4.81143 1.28922i 0.571011 0.153002i 0.0382509 0.999268i \(-0.487821\pi\)
0.532760 + 0.846266i \(0.321155\pi\)
\(72\) 2.28582 1.94294i 0.269386 0.228978i
\(73\) −7.81198 7.81198i −0.914323 0.914323i 0.0822856 0.996609i \(-0.473778\pi\)
−0.996609 + 0.0822856i \(0.973778\pi\)
\(74\) −5.22732 3.01799i −0.607663 0.350835i
\(75\) 0.817552 20.1991i 0.0944028 2.33240i
\(76\) −0.0297774 + 0.111131i −0.00341570 + 0.0127476i
\(77\) −0.871755 −0.0993457
\(78\) 0.916308 6.17741i 0.103751 0.699454i
\(79\) −9.72142 −1.09375 −0.546873 0.837216i \(-0.684182\pi\)
−0.546873 + 0.837216i \(0.684182\pi\)
\(80\) −1.05678 + 3.94395i −0.118151 + 0.440947i
\(81\) 8.88244 + 1.44994i 0.986937 + 0.161105i
\(82\) −8.03809 4.64079i −0.887658 0.512490i
\(83\) 0.690982 + 0.690982i 0.0758451 + 0.0758451i 0.744012 0.668167i \(-0.232921\pi\)
−0.668167 + 0.744012i \(0.732921\pi\)
\(84\) 1.65353 + 0.515581i 0.180415 + 0.0562545i
\(85\) 15.4482 4.13933i 1.67559 0.448973i
\(86\) 4.20953 4.20953i 0.453925 0.453925i
\(87\) −2.06860 + 1.08522i −0.221777 + 0.116348i
\(88\) −0.754962 + 0.435878i −0.0804792 + 0.0464647i
\(89\) −8.60332 2.30525i −0.911950 0.244356i −0.227809 0.973706i \(-0.573156\pi\)
−0.684141 + 0.729350i \(0.739823\pi\)
\(90\) −11.0684 + 5.24727i −1.16671 + 0.553110i
\(91\) 3.29689 1.45964i 0.345608 0.153011i
\(92\) 4.34652i 0.453156i
\(93\) −2.46489 + 2.27312i −0.255598 + 0.235712i
\(94\) −5.77565 10.0037i −0.595713 1.03180i
\(95\) 0.234881 0.406826i 0.0240983 0.0417394i
\(96\) 1.68979 0.380261i 0.172464 0.0388102i
\(97\) −0.809999 3.02296i −0.0822430 0.306935i 0.912535 0.408999i \(-0.134122\pi\)
−0.994778 + 0.102064i \(0.967455\pi\)
\(98\) 0.258819 + 0.965926i 0.0261447 + 0.0975732i
\(99\) −2.46319 0.878822i −0.247560 0.0883249i
\(100\) 5.83576 10.1078i 0.583576 1.01078i
\(101\) −7.16549 12.4110i −0.712992 1.23494i −0.963729 0.266884i \(-0.914006\pi\)
0.250736 0.968055i \(-0.419327\pi\)
\(102\) −4.59931 4.98732i −0.455399 0.493818i
\(103\) 4.34254i 0.427883i −0.976846 0.213942i \(-0.931370\pi\)
0.976846 0.213942i \(-0.0686302\pi\)
\(104\) 2.12537 2.91252i 0.208410 0.285597i
\(105\) −5.97660 3.78085i −0.583257 0.368973i
\(106\) −0.156321 0.0418861i −0.0151833 0.00406834i
\(107\) 7.42949 4.28942i 0.718236 0.414674i −0.0958673 0.995394i \(-0.530562\pi\)
0.814103 + 0.580721i \(0.197229\pi\)
\(108\) 4.15238 + 3.12374i 0.399563 + 0.300582i
\(109\) 0.391997 0.391997i 0.0375465 0.0375465i −0.688084 0.725631i \(-0.741548\pi\)
0.725631 + 0.688084i \(0.241548\pi\)
\(110\) 3.43816 0.921252i 0.327816 0.0878379i
\(111\) 3.11204 9.98071i 0.295382 0.947327i
\(112\) 0.707107 + 0.707107i 0.0668153 + 0.0668153i
\(113\) 8.23216 + 4.75284i 0.774416 + 0.447109i 0.834448 0.551087i \(-0.185787\pi\)
−0.0600315 + 0.998196i \(0.519120\pi\)
\(114\) −0.199111 0.00805894i −0.0186484 0.000754789i
\(115\) −4.59331 + 17.1425i −0.428328 + 1.59854i
\(116\) −1.34868 −0.125222
\(117\) 10.7870 0.800656i 0.997257 0.0740207i
\(118\) −0.0966446 −0.00889686
\(119\) 1.01378 3.78346i 0.0929327 0.346829i
\(120\) −7.06631 0.286006i −0.645063 0.0261087i
\(121\) −8.86814 5.12002i −0.806194 0.465456i
\(122\) 9.79696 + 9.79696i 0.886975 + 0.886975i
\(123\) 4.78541 15.3474i 0.431486 1.38383i
\(124\) −1.86991 + 0.501041i −0.167923 + 0.0449948i
\(125\) −19.2618 + 19.2618i −1.72283 + 1.72283i
\(126\) −0.242450 + 2.99019i −0.0215992 + 0.266387i
\(127\) 6.15986 3.55640i 0.546599 0.315579i −0.201150 0.979560i \(-0.564468\pi\)
0.747749 + 0.663981i \(0.231135\pi\)
\(128\) 0.965926 + 0.258819i 0.0853766 + 0.0228766i
\(129\) 8.71395 + 5.51251i 0.767220 + 0.485349i
\(130\) −11.4602 + 9.24081i −1.00513 + 0.810473i
\(131\) 18.7794i 1.64077i −0.571815 0.820383i \(-0.693760\pi\)
0.571815 0.820383i \(-0.306240\pi\)
\(132\) −1.02363 1.10998i −0.0890952 0.0966116i
\(133\) −0.0575254 0.0996370i −0.00498809 0.00863962i
\(134\) −7.88317 + 13.6540i −0.681002 + 1.17953i
\(135\) −13.0757 16.7080i −1.12538 1.43800i
\(136\) −1.01378 3.78346i −0.0869306 0.324429i
\(137\) 4.74128 + 17.6947i 0.405075 + 1.51176i 0.803918 + 0.594740i \(0.202745\pi\)
−0.398844 + 0.917019i \(0.630588\pi\)
\(138\) 7.34473 1.65281i 0.625225 0.140697i
\(139\) −3.01558 + 5.22313i −0.255778 + 0.443020i −0.965107 0.261858i \(-0.915665\pi\)
0.709329 + 0.704878i \(0.248998\pi\)
\(140\) −2.04154 3.53605i −0.172542 0.298851i
\(141\) 14.7080 13.5637i 1.23863 1.14227i
\(142\) 4.98116i 0.418009i
\(143\) −3.12525 0.335070i −0.261346 0.0280199i
\(144\) 1.28513 + 2.71080i 0.107094 + 0.225900i
\(145\) 5.31911 + 1.42525i 0.441728 + 0.118361i
\(146\) 9.56768 5.52390i 0.791827 0.457162i
\(147\) −1.53380 + 0.804655i −0.126505 + 0.0663668i
\(148\) 4.26809 4.26809i 0.350835 0.350835i
\(149\) −18.5784 + 4.97807i −1.52200 + 0.407819i −0.920401 0.390976i \(-0.872137\pi\)
−0.601602 + 0.798796i \(0.705471\pi\)
\(150\) 19.2993 + 6.01762i 1.57578 + 0.491336i
\(151\) 2.29679 + 2.29679i 0.186910 + 0.186910i 0.794359 0.607449i \(-0.207807\pi\)
−0.607449 + 0.794359i \(0.707807\pi\)
\(152\) −0.0996370 0.0575254i −0.00808163 0.00466593i
\(153\) 6.67861 9.66836i 0.539933 0.781641i
\(154\) 0.225627 0.842051i 0.0181815 0.0678544i
\(155\) 7.90432 0.634890
\(156\) 5.72976 + 2.48392i 0.458748 + 0.198873i
\(157\) 22.1469 1.76752 0.883758 0.467945i \(-0.155005\pi\)
0.883758 + 0.467945i \(0.155005\pi\)
\(158\) 2.51609 9.39017i 0.200169 0.747042i
\(159\) 0.0113361 0.280078i 0.000899008 0.0222116i
\(160\) −3.53605 2.04154i −0.279549 0.161398i
\(161\) 3.07346 + 3.07346i 0.242222 + 0.242222i
\(162\) −3.69948 + 8.20450i −0.290659 + 0.644606i
\(163\) 13.8839 3.72018i 1.08747 0.291387i 0.329817 0.944045i \(-0.393013\pi\)
0.757652 + 0.652658i \(0.226346\pi\)
\(164\) 6.56307 6.56307i 0.512490 0.512490i
\(165\) 2.86412 + 5.45946i 0.222972 + 0.425019i
\(166\) −0.846276 + 0.488598i −0.0656838 + 0.0379225i
\(167\) −16.9617 4.54487i −1.31254 0.351693i −0.466359 0.884596i \(-0.654434\pi\)
−0.846176 + 0.532903i \(0.821101\pi\)
\(168\) −0.925979 + 1.46375i −0.0714408 + 0.112931i
\(169\) 12.3804 3.96560i 0.952338 0.305046i
\(170\) 15.9931i 1.22662i
\(171\) −0.0620962 0.339521i −0.00474862 0.0259638i
\(172\) 2.97658 + 5.15560i 0.226962 + 0.393110i
\(173\) −5.39796 + 9.34954i −0.410399 + 0.710832i −0.994933 0.100537i \(-0.967944\pi\)
0.584534 + 0.811369i \(0.301277\pi\)
\(174\) −0.512849 2.27899i −0.0388790 0.172769i
\(175\) 3.02081 + 11.2738i 0.228352 + 0.852221i
\(176\) −0.225627 0.842051i −0.0170073 0.0634720i
\(177\) −0.0367502 0.163309i −0.00276231 0.0122751i
\(178\) 4.45341 7.71353i 0.333797 0.578153i
\(179\) 2.08549 + 3.61218i 0.155877 + 0.269987i 0.933378 0.358895i \(-0.116846\pi\)
−0.777501 + 0.628882i \(0.783513\pi\)
\(180\) −2.20375 12.0494i −0.164258 0.898107i
\(181\) 0.322541i 0.0239743i 0.999928 + 0.0119872i \(0.00381572\pi\)
−0.999928 + 0.0119872i \(0.996184\pi\)
\(182\) 0.556602 + 3.56233i 0.0412581 + 0.264057i
\(183\) −12.8294 + 20.2802i −0.948379 + 1.49916i
\(184\) 4.19842 + 1.12496i 0.309512 + 0.0829334i
\(185\) −21.3435 + 12.3227i −1.56921 + 0.905983i
\(186\) −1.55771 2.96923i −0.114217 0.217715i
\(187\) −2.41449 + 2.41449i −0.176565 + 0.176565i
\(188\) 11.1577 2.98970i 0.813759 0.218046i
\(189\) −5.14499 + 0.727360i −0.374243 + 0.0529077i
\(190\) 0.332172 + 0.332172i 0.0240983 + 0.0240983i
\(191\) 0.762586 + 0.440279i 0.0551788 + 0.0318575i 0.527336 0.849657i \(-0.323191\pi\)
−0.472157 + 0.881515i \(0.656524\pi\)
\(192\) −0.0700467 + 1.73063i −0.00505519 + 0.124898i
\(193\) −3.00580 + 11.2178i −0.216362 + 0.807474i 0.769321 + 0.638863i \(0.220595\pi\)
−0.985683 + 0.168611i \(0.946072\pi\)
\(194\) 3.12960 0.224692
\(195\) −19.9729 15.8515i −1.43029 1.13515i
\(196\) −1.00000 −0.0714286
\(197\) 5.46039 20.3784i 0.389037 1.45190i −0.442668 0.896686i \(-0.645968\pi\)
0.831705 0.555218i \(-0.187365\pi\)
\(198\) 1.48640 2.15180i 0.105634 0.152922i
\(199\) −13.0082 7.51030i −0.922129 0.532391i −0.0378153 0.999285i \(-0.512040\pi\)
−0.884314 + 0.466893i \(0.845373\pi\)
\(200\) 8.25301 + 8.25301i 0.583576 + 0.583576i
\(201\) −26.0702 8.12882i −1.83885 0.573363i
\(202\) 13.8427 3.70913i 0.973966 0.260973i
\(203\) 0.953659 0.953659i 0.0669337 0.0669337i
\(204\) 6.00777 3.15178i 0.420628 0.220668i
\(205\) −32.8201 + 18.9487i −2.29226 + 1.32344i
\(206\) 4.19457 + 1.12393i 0.292250 + 0.0783081i
\(207\) 5.58583 + 11.7826i 0.388242 + 0.818945i
\(208\) 2.26320 + 2.80677i 0.156924 + 0.194614i
\(209\) 0.100296i 0.00693763i
\(210\) 5.19887 4.79440i 0.358756 0.330845i
\(211\) 5.63408 + 9.75852i 0.387866 + 0.671804i 0.992162 0.124956i \(-0.0398789\pi\)
−0.604296 + 0.796760i \(0.706546\pi\)
\(212\) 0.0809178 0.140154i 0.00555746 0.00962580i
\(213\) −8.41712 + 1.89414i −0.576732 + 0.129784i
\(214\) 2.22037 + 8.28652i 0.151781 + 0.566455i
\(215\) −6.29118 23.4790i −0.429055 1.60125i
\(216\) −4.09201 + 3.20241i −0.278426 + 0.217896i
\(217\) 0.967936 1.67651i 0.0657078 0.113809i
\(218\) 0.277184 + 0.480096i 0.0187732 + 0.0325162i
\(219\) 12.9725 + 14.0669i 0.876599 + 0.950552i
\(220\) 3.55944i 0.239978i
\(221\) 5.08861 13.1741i 0.342297 0.886184i
\(222\) 8.83517 + 5.58920i 0.592978 + 0.375122i
\(223\) 24.5334 + 6.57371i 1.64288 + 0.440208i 0.957607 0.288078i \(-0.0930162\pi\)
0.685273 + 0.728286i \(0.259683\pi\)
\(224\) −0.866025 + 0.500000i −0.0578638 + 0.0334077i
\(225\) −2.82977 + 34.9000i −0.188651 + 2.32667i
\(226\) −6.72153 + 6.72153i −0.447109 + 0.447109i
\(227\) 24.7480 6.63121i 1.64258 0.440129i 0.685061 0.728486i \(-0.259775\pi\)
0.957523 + 0.288356i \(0.0931088\pi\)
\(228\) 0.0593180 0.190241i 0.00392843 0.0125990i
\(229\) −18.9072 18.9072i −1.24942 1.24942i −0.955976 0.293443i \(-0.905199\pi\)
−0.293443 0.955976i \(-0.594801\pi\)
\(230\) −15.3695 8.87360i −1.01344 0.585108i
\(231\) 1.50869 + 0.0610636i 0.0992644 + 0.00401769i
\(232\) 0.349063 1.30272i 0.0229171 0.0855279i
\(233\) 5.73670 0.375824 0.187912 0.982186i \(-0.439828\pi\)
0.187912 + 0.982186i \(0.439828\pi\)
\(234\) −2.01850 + 10.6266i −0.131954 + 0.694686i
\(235\) −47.1649 −3.07670
\(236\) 0.0250135 0.0933515i 0.00162824 0.00607667i
\(237\) 16.8242 + 0.680954i 1.09285 + 0.0442327i
\(238\) 3.39216 + 1.95846i 0.219881 + 0.126948i
\(239\) −17.1227 17.1227i −1.10757 1.10757i −0.993469 0.114105i \(-0.963600\pi\)
−0.114105 0.993469i \(-0.536400\pi\)
\(240\) 2.10516 6.75151i 0.135887 0.435808i
\(241\) −4.89874 + 1.31261i −0.315556 + 0.0845529i −0.413121 0.910676i \(-0.635561\pi\)
0.0975650 + 0.995229i \(0.468895\pi\)
\(242\) 7.24080 7.24080i 0.465456 0.465456i
\(243\) −15.2707 3.13151i −0.979615 0.200886i
\(244\) −11.9988 + 6.92750i −0.768143 + 0.443488i
\(245\) 3.94395 + 1.05678i 0.251970 + 0.0675151i
\(246\) 13.5859 + 8.59455i 0.866206 + 0.547969i
\(247\) −0.167932 0.379310i −0.0106853 0.0241349i
\(248\) 1.93587i 0.122928i
\(249\) −1.14744 1.24424i −0.0727158 0.0788503i
\(250\) −13.6202 23.5908i −0.861416 1.49202i
\(251\) 9.68826 16.7806i 0.611517 1.05918i −0.379467 0.925205i \(-0.623893\pi\)
0.990985 0.133974i \(-0.0427739\pi\)
\(252\) −2.82555 1.00811i −0.177993 0.0635047i
\(253\) −0.980692 3.65999i −0.0616556 0.230102i
\(254\) 1.84093 + 6.87043i 0.115510 + 0.431089i
\(255\) −27.0251 + 6.08156i −1.69238 + 0.380842i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 1.96073 + 3.39609i 0.122307 + 0.211842i 0.920677 0.390325i \(-0.127637\pi\)
−0.798370 + 0.602167i \(0.794304\pi\)
\(258\) −7.58001 + 6.99028i −0.471911 + 0.435196i
\(259\) 6.03599i 0.375058i
\(260\) −5.95981 13.4614i −0.369611 0.834843i
\(261\) 3.65600 1.73322i 0.226301 0.107284i
\(262\) 18.1395 + 4.86047i 1.12066 + 0.300281i
\(263\) −13.9023 + 8.02649i −0.857252 + 0.494935i −0.863091 0.505048i \(-0.831475\pi\)
0.00583890 + 0.999983i \(0.498141\pi\)
\(264\) 1.33709 0.701462i 0.0822925 0.0431720i
\(265\) −0.467247 + 0.467247i −0.0287028 + 0.0287028i
\(266\) 0.111131 0.0297774i 0.00681386 0.00182577i
\(267\) 14.7277 + 4.59218i 0.901322 + 0.281037i
\(268\) −11.1485 11.1485i −0.681002 0.681002i
\(269\) −24.1952 13.9691i −1.47521 0.851712i −0.475600 0.879662i \(-0.657769\pi\)
−0.999609 + 0.0279494i \(0.991102\pi\)
\(270\) 19.5229 8.30579i 1.18813 0.505474i
\(271\) 2.05418 7.66629i 0.124782 0.465694i −0.875050 0.484033i \(-0.839171\pi\)
0.999832 + 0.0183396i \(0.00583801\pi\)
\(272\) 3.91693 0.237499
\(273\) −5.80795 + 2.29516i −0.351513 + 0.138909i
\(274\) −18.3189 −1.10668
\(275\) 2.63341 9.82802i 0.158801 0.592652i
\(276\) −0.304460 + 7.52224i −0.0183263 + 0.452786i
\(277\) −8.41618 4.85909i −0.505680 0.291954i 0.225376 0.974272i \(-0.427639\pi\)
−0.731056 + 0.682318i \(0.760972\pi\)
\(278\) −4.26467 4.26467i −0.255778 0.255778i
\(279\) 4.42505 3.76129i 0.264921 0.225182i
\(280\) 3.94395 1.05678i 0.235696 0.0631546i
\(281\) 2.71928 2.71928i 0.162218 0.162218i −0.621330 0.783549i \(-0.713407\pi\)
0.783549 + 0.621330i \(0.213407\pi\)
\(282\) 9.29481 + 17.7173i 0.553498 + 1.05505i
\(283\) −6.69421 + 3.86490i −0.397929 + 0.229745i −0.685590 0.727988i \(-0.740456\pi\)
0.287661 + 0.957732i \(0.407122\pi\)
\(284\) −4.81143 1.28922i −0.285506 0.0765010i
\(285\) −0.434990 + 0.687613i −0.0257666 + 0.0407307i
\(286\) 1.13253 2.93203i 0.0669677 0.173375i
\(287\) 9.28158i 0.547875i
\(288\) −2.95105 + 0.539728i −0.173892 + 0.0318038i
\(289\) 0.828833 + 1.43558i 0.0487549 + 0.0844460i
\(290\) −2.75338 + 4.76899i −0.161684 + 0.280045i
\(291\) 1.19006 + 5.28837i 0.0697628 + 0.310010i
\(292\) 2.85938 + 10.6714i 0.167333 + 0.624494i
\(293\) 0.396164 + 1.47850i 0.0231441 + 0.0863751i 0.976532 0.215373i \(-0.0690966\pi\)
−0.953388 + 0.301748i \(0.902430\pi\)
\(294\) −0.380261 1.68979i −0.0221773 0.0985507i
\(295\) −0.197304 + 0.341740i −0.0114875 + 0.0198969i
\(296\) 3.01799 + 5.22732i 0.175417 + 0.303832i
\(297\) 4.20131 + 1.69346i 0.243785 + 0.0982644i
\(298\) 19.2338i 1.11418i
\(299\) 9.83704 + 12.1997i 0.568890 + 0.705525i
\(300\) −10.8076 + 17.0842i −0.623976 + 0.986356i
\(301\) −5.75032 1.54079i −0.331443 0.0888099i
\(302\) −2.81298 + 1.62407i −0.161869 + 0.0934549i
\(303\) 11.5315 + 21.9808i 0.662466 + 1.26276i
\(304\) 0.0813533 0.0813533i 0.00466593 0.00466593i
\(305\) 54.6434 14.6417i 3.12887 0.838379i
\(306\) 7.61037 + 8.95339i 0.435056 + 0.511831i
\(307\) 4.42995 + 4.42995i 0.252831 + 0.252831i 0.822130 0.569299i \(-0.192785\pi\)
−0.569299 + 0.822130i \(0.692785\pi\)
\(308\) 0.754962 + 0.435878i 0.0430180 + 0.0248364i
\(309\) −0.304181 + 7.51535i −0.0173042 + 0.427533i
\(310\) −2.04579 + 7.63498i −0.116193 + 0.433638i
\(311\) 24.0508 1.36379 0.681897 0.731449i \(-0.261155\pi\)
0.681897 + 0.731449i \(0.261155\pi\)
\(312\) −3.88225 + 4.89164i −0.219789 + 0.276935i
\(313\) −2.52633 −0.142797 −0.0713983 0.997448i \(-0.522746\pi\)
−0.0713983 + 0.997448i \(0.522746\pi\)
\(314\) −5.73204 + 21.3923i −0.323478 + 1.20724i
\(315\) 10.0785 + 6.96190i 0.567858 + 0.392259i
\(316\) 8.41900 + 4.86071i 0.473606 + 0.273436i
\(317\) −6.69332 6.69332i −0.375934 0.375934i 0.493699 0.869633i \(-0.335645\pi\)
−0.869633 + 0.493699i \(0.835645\pi\)
\(318\) 0.267601 + 0.0834394i 0.0150063 + 0.00467905i
\(319\) −1.13565 + 0.304298i −0.0635844 + 0.0170374i
\(320\) 2.88717 2.88717i 0.161398 0.161398i
\(321\) −13.1582 + 6.90300i −0.734418 + 0.385288i
\(322\) −3.76420 + 2.17326i −0.209771 + 0.121111i
\(323\) −0.435291 0.116636i −0.0242202 0.00648979i
\(324\) −6.96744 5.69691i −0.387080 0.316495i
\(325\) 6.49640 + 41.5778i 0.360355 + 2.30632i
\(326\) 14.3737i 0.796083i
\(327\) −0.705861 + 0.650945i −0.0390342 + 0.0359973i
\(328\) 4.64079 + 8.03809i 0.256245 + 0.443829i
\(329\) −5.77565 + 10.0037i −0.318422 + 0.551523i
\(330\) −6.01473 + 1.35352i −0.331100 + 0.0745087i
\(331\) 3.85568 + 14.3896i 0.211927 + 0.790923i 0.987226 + 0.159328i \(0.0509328\pi\)
−0.775298 + 0.631595i \(0.782400\pi\)
\(332\) −0.252917 0.943898i −0.0138806 0.0518032i
\(333\) −6.08492 + 17.0550i −0.333451 + 0.934606i
\(334\) 8.78002 15.2074i 0.480421 0.832114i
\(335\) 32.1876 + 55.7505i 1.75860 + 3.04598i
\(336\) −1.17421 1.27327i −0.0640585 0.0694628i
\(337\) 11.6165i 0.632792i 0.948627 + 0.316396i \(0.102473\pi\)
−0.948627 + 0.316396i \(0.897527\pi\)
\(338\) 0.626198 + 12.9849i 0.0340607 + 0.706286i
\(339\) −13.9139 8.80206i −0.755701 0.478062i
\(340\) −15.4482 4.13933i −0.837795 0.224486i
\(341\) −1.46151 + 0.843803i −0.0791452 + 0.0456945i
\(342\) 0.344024 + 0.0278941i 0.0186027 + 0.00150834i
\(343\) 0.707107 0.707107i 0.0381802 0.0381802i
\(344\) −5.75032 + 1.54079i −0.310036 + 0.0830740i
\(345\) 9.15011 29.3456i 0.492626 1.57991i
\(346\) −7.63386 7.63386i −0.410399 0.410399i
\(347\) −29.5535 17.0627i −1.58651 0.915974i −0.993876 0.110505i \(-0.964753\pi\)
−0.592638 0.805469i \(-0.701913\pi\)
\(348\) 2.33407 + 0.0944704i 0.125119 + 0.00506415i
\(349\) 9.04005 33.7379i 0.483903 1.80595i −0.101049 0.994881i \(-0.532220\pi\)
0.584952 0.811068i \(-0.301113\pi\)
\(350\) −11.6715 −0.623869
\(351\) −18.7244 + 0.630050i −0.999434 + 0.0336296i
\(352\) 0.871755 0.0464647
\(353\) −2.91553 + 10.8809i −0.155178 + 0.579133i 0.843912 + 0.536482i \(0.180247\pi\)
−0.999090 + 0.0426509i \(0.986420\pi\)
\(354\) 0.167256 + 0.00676964i 0.00888958 + 0.000359802i
\(355\) 17.6136 + 10.1692i 0.934833 + 0.539726i
\(356\) 6.29807 + 6.29807i 0.333797 + 0.333797i
\(357\) −2.01949 + 6.47678i −0.106883 + 0.342787i
\(358\) −4.02886 + 1.07953i −0.212932 + 0.0570549i
\(359\) 16.2023 16.2023i 0.855126 0.855126i −0.135633 0.990759i \(-0.543307\pi\)
0.990759 + 0.135633i \(0.0433068\pi\)
\(360\) 12.2092 + 0.989944i 0.643480 + 0.0521746i
\(361\) 16.4430 9.49338i 0.865422 0.499652i
\(362\) −0.311551 0.0834798i −0.0163748 0.00438760i
\(363\) 14.9889 + 9.48207i 0.786711 + 0.497679i
\(364\) −3.58501 0.384362i −0.187905 0.0201461i
\(365\) 45.1091i 2.36112i
\(366\) −16.2687 17.6412i −0.850379 0.922120i
\(367\) 9.99270 + 17.3079i 0.521615 + 0.903463i 0.999684 + 0.0251410i \(0.00800348\pi\)
−0.478069 + 0.878322i \(0.658663\pi\)
\(368\) −2.17326 + 3.76420i −0.113289 + 0.196222i
\(369\) −9.35682 + 26.2256i −0.487097 + 1.36525i
\(370\) −6.37870 23.8056i −0.331613 1.23760i
\(371\) 0.0418861 + 0.156321i 0.00217462 + 0.00811579i
\(372\) 3.27122 0.736137i 0.169605 0.0381669i
\(373\) 9.97248 17.2728i 0.516356 0.894354i −0.483464 0.875364i \(-0.660622\pi\)
0.999820 0.0189899i \(-0.00604503\pi\)
\(374\) −1.70730 2.95713i −0.0882825 0.152910i
\(375\) 34.6844 31.9860i 1.79110 1.65175i
\(376\) 11.5513i 0.595713i
\(377\) 3.78542 3.05232i 0.194959 0.157203i
\(378\) 0.629046 5.15794i 0.0323546 0.265296i
\(379\) −18.3638 4.92057i −0.943286 0.252753i −0.245775 0.969327i \(-0.579042\pi\)
−0.697511 + 0.716574i \(0.745709\pi\)
\(380\) −0.406826 + 0.234881i −0.0208697 + 0.0120491i
\(381\) −10.9096 + 5.72334i −0.558914 + 0.293216i
\(382\) −0.622649 + 0.622649i −0.0318575 + 0.0318575i
\(383\) −10.4033 + 2.78755i −0.531583 + 0.142437i −0.514619 0.857419i \(-0.672067\pi\)
−0.0169637 + 0.999856i \(0.505400\pi\)
\(384\) −1.65353 0.515581i −0.0843816 0.0263106i
\(385\) −2.51691 2.51691i −0.128273 0.128273i
\(386\) −10.0576 5.80675i −0.511918 0.295556i
\(387\) −14.6945 10.1505i −0.746964 0.515980i
\(388\) −0.809999 + 3.02296i −0.0411215 + 0.153467i
\(389\) −3.26720 −0.165654 −0.0828268 0.996564i \(-0.526395\pi\)
−0.0828268 + 0.996564i \(0.526395\pi\)
\(390\) 20.4808 15.1897i 1.03708 0.769160i
\(391\) 17.0250 0.860992
\(392\) 0.258819 0.965926i 0.0130723 0.0487866i
\(393\) −1.31544 + 32.5003i −0.0663550 + 1.63942i
\(394\) 18.2708 + 10.5487i 0.920470 + 0.531434i
\(395\) −28.0674 28.0674i −1.41222 1.41222i
\(396\) 1.69377 + 1.99268i 0.0851152 + 0.100136i
\(397\) 19.5199 5.23033i 0.979674 0.262503i 0.266766 0.963761i \(-0.414045\pi\)
0.712907 + 0.701258i \(0.247378\pi\)
\(398\) 10.6212 10.6212i 0.532391 0.532391i
\(399\) 0.0925762 + 0.176465i 0.00463461 + 0.00883428i
\(400\) −10.1078 + 5.83576i −0.505392 + 0.291788i
\(401\) −11.3347 3.03712i −0.566027 0.151666i −0.0355530 0.999368i \(-0.511319\pi\)
−0.530474 + 0.847701i \(0.677986\pi\)
\(402\) 14.5993 23.0780i 0.728147 1.15102i
\(403\) 4.11444 5.63828i 0.204955 0.280863i
\(404\) 14.3310i 0.712992i
\(405\) 21.4589 + 29.8314i 1.06630 + 1.48233i
\(406\) 0.674338 + 1.16799i 0.0334669 + 0.0579663i
\(407\) 2.63095 4.55694i 0.130411 0.225879i
\(408\) 1.48946 + 6.61880i 0.0737390 + 0.327679i
\(409\) −2.97208 11.0919i −0.146960 0.548462i −0.999660 0.0260615i \(-0.991703\pi\)
0.852700 0.522400i \(-0.174963\pi\)
\(410\) −9.80858 36.6061i −0.484411 1.80785i
\(411\) −6.96596 30.9551i −0.343605 1.52690i
\(412\) −2.17127 + 3.76075i −0.106971 + 0.185279i
\(413\) 0.0483223 + 0.0836967i 0.00237778 + 0.00411844i
\(414\) −12.8268 + 2.34594i −0.630403 + 0.115297i
\(415\) 3.98997i 0.195860i
\(416\) −3.29689 + 1.45964i −0.161643 + 0.0715645i
\(417\) 5.58472 8.82810i 0.273485 0.432314i
\(418\) −0.0968787 0.0259586i −0.00473849 0.00126968i
\(419\) 10.7938 6.23178i 0.527309 0.304442i −0.212611 0.977137i \(-0.568197\pi\)
0.739920 + 0.672695i \(0.234863\pi\)
\(420\) 3.28547 + 6.26261i 0.160314 + 0.305584i
\(421\) −9.74367 + 9.74367i −0.474877 + 0.474877i −0.903489 0.428612i \(-0.859003\pi\)
0.428612 + 0.903489i \(0.359003\pi\)
\(422\) −10.8842 + 2.91642i −0.529835 + 0.141969i
\(423\) −26.4042 + 22.4435i −1.28382 + 1.09124i
\(424\) 0.114435 + 0.114435i 0.00555746 + 0.00555746i
\(425\) 39.5917 + 22.8583i 1.92048 + 1.10879i
\(426\) 0.348914 8.62056i 0.0169049 0.417667i
\(427\) 3.58594 13.3829i 0.173536 0.647644i
\(428\) −8.57883 −0.414674
\(429\) 5.38519 + 0.798796i 0.259999 + 0.0385663i
\(430\) 24.3073 1.17220
\(431\) −5.92727 + 22.1209i −0.285506 + 1.06552i 0.662962 + 0.748653i \(0.269299\pi\)
−0.948469 + 0.316871i \(0.897368\pi\)
\(432\) −2.03420 4.78143i −0.0978704 0.230046i
\(433\) −19.4487 11.2287i −0.934645 0.539618i −0.0463677 0.998924i \(-0.514765\pi\)
−0.888278 + 0.459307i \(0.848098\pi\)
\(434\) 1.36887 + 1.36887i 0.0657078 + 0.0657078i
\(435\) −9.10561 2.83918i −0.436580 0.136128i
\(436\) −0.535478 + 0.143481i −0.0256447 + 0.00687148i
\(437\) 0.353604 0.353604i 0.0169152 0.0169152i
\(438\) −16.9451 + 8.88967i −0.809668 + 0.424765i
\(439\) −7.33701 + 4.23603i −0.350176 + 0.202174i −0.664763 0.747054i \(-0.731467\pi\)
0.314587 + 0.949229i \(0.398134\pi\)
\(440\) −3.43816 0.921252i −0.163908 0.0439190i
\(441\) 2.71080 1.28513i 0.129086 0.0611964i
\(442\) 11.4082 + 8.32492i 0.542631 + 0.395976i
\(443\) 13.2497i 0.629510i 0.949173 + 0.314755i \(0.101922\pi\)
−0.949173 + 0.314755i \(0.898078\pi\)
\(444\) −7.68546 + 7.08753i −0.364736 + 0.336359i
\(445\) −18.1836 31.4949i −0.861986 1.49300i
\(446\) −12.6994 + 21.9961i −0.601336 + 1.04154i
\(447\) 32.5011 7.31386i 1.53725 0.345934i
\(448\) −0.258819 0.965926i −0.0122281 0.0456357i
\(449\) −4.19329 15.6496i −0.197894 0.738550i −0.991499 0.130116i \(-0.958465\pi\)
0.793605 0.608433i \(-0.208202\pi\)
\(450\) −32.9785 11.7661i −1.55462 0.554661i
\(451\) 4.04563 7.00724i 0.190501 0.329958i
\(452\) −4.75284 8.23216i −0.223555 0.387208i
\(453\) −3.81401 4.13578i −0.179198 0.194316i
\(454\) 25.6210i 1.20246i
\(455\) 13.7329 + 5.30446i 0.643808 + 0.248677i
\(456\) 0.168406 + 0.106535i 0.00788632 + 0.00498895i
\(457\) 23.5568 + 6.31204i 1.10194 + 0.295265i 0.763555 0.645742i \(-0.223452\pi\)
0.338387 + 0.941007i \(0.390119\pi\)
\(458\) 23.1564 13.3694i 1.08203 0.624710i
\(459\) −12.2355 + 16.2646i −0.571102 + 0.759166i
\(460\) 12.5492 12.5492i 0.585108 0.585108i
\(461\) 25.5878 6.85623i 1.19174 0.319326i 0.392168 0.919894i \(-0.371725\pi\)
0.799574 + 0.600567i \(0.205058\pi\)
\(462\) −0.449460 + 1.44148i −0.0209108 + 0.0670636i
\(463\) −16.4422 16.4422i −0.764135 0.764135i 0.212932 0.977067i \(-0.431699\pi\)
−0.977067 + 0.212932i \(0.931699\pi\)
\(464\) 1.16799 + 0.674338i 0.0542225 + 0.0313054i
\(465\) −13.6795 0.553672i −0.634371 0.0256759i
\(466\) −1.48477 + 5.54123i −0.0687806 + 0.256693i
\(467\) −21.3222 −0.986673 −0.493337 0.869839i \(-0.664223\pi\)
−0.493337 + 0.869839i \(0.664223\pi\)
\(468\) −9.74213 4.70010i −0.450330 0.217262i
\(469\) 15.7663 0.728022
\(470\) 12.2072 45.5577i 0.563074 2.10142i
\(471\) −38.3282 1.55132i −1.76607 0.0714810i
\(472\) 0.0836967 + 0.0483223i 0.00385245 + 0.00222421i
\(473\) 3.66968 + 3.66968i 0.168732 + 0.168732i
\(474\) −5.01218 + 16.0747i −0.230217 + 0.738336i
\(475\) 1.29706 0.347547i 0.0595134 0.0159466i
\(476\) −2.76969 + 2.76969i −0.126948 + 0.126948i
\(477\) −0.0392371 + 0.483919i −0.00179654 + 0.0221571i
\(478\) 20.9709 12.1076i 0.959187 0.553787i
\(479\) −9.17010 2.45712i −0.418993 0.112269i 0.0431621 0.999068i \(-0.486257\pi\)
−0.462155 + 0.886799i \(0.652923\pi\)
\(480\) 5.97660 + 3.78085i 0.272793 + 0.172571i
\(481\) −2.32000 + 21.6390i −0.105783 + 0.986655i
\(482\) 5.07155i 0.231003i
\(483\) −5.10374 5.53431i −0.232228 0.251820i
\(484\) 5.12002 + 8.86814i 0.232728 + 0.403097i
\(485\) 6.38919 11.0664i 0.290118 0.502500i
\(486\) 6.97715 13.9398i 0.316490 0.632324i
\(487\) 8.60540 + 32.1158i 0.389948 + 1.45531i 0.830217 + 0.557440i \(0.188216\pi\)
−0.440270 + 0.897866i \(0.645117\pi\)
\(488\) −3.58594 13.3829i −0.162328 0.605815i
\(489\) −24.2885 + 5.46574i −1.09836 + 0.247169i
\(490\) −2.04154 + 3.53605i −0.0922273 + 0.159742i
\(491\) −5.88750 10.1974i −0.265699 0.460204i 0.702048 0.712130i \(-0.252269\pi\)
−0.967747 + 0.251926i \(0.918936\pi\)
\(492\) −11.8180 + 10.8986i −0.532796 + 0.491345i
\(493\) 5.28267i 0.237920i
\(494\) 0.409849 0.0640376i 0.0184400 0.00288119i
\(495\) −4.57433 9.64895i −0.205601 0.433688i
\(496\) 1.86991 + 0.501041i 0.0839614 + 0.0224974i
\(497\) 4.31381 2.49058i 0.193501 0.111718i
\(498\) 1.49882 0.786305i 0.0671637 0.0352352i
\(499\) −4.13517 + 4.13517i −0.185116 + 0.185116i −0.793581 0.608465i \(-0.791786\pi\)
0.608465 + 0.793581i \(0.291786\pi\)
\(500\) 26.3122 7.05032i 1.17672 0.315300i
\(501\) 29.0361 + 9.05362i 1.29724 + 0.404486i
\(502\) 13.7013 + 13.7013i 0.611517 + 0.611517i
\(503\) −28.3520 16.3690i −1.26415 0.729859i −0.290278 0.956943i \(-0.593748\pi\)
−0.973875 + 0.227084i \(0.927081\pi\)
\(504\) 1.70506 2.46835i 0.0759495 0.109949i
\(505\) 15.1447 56.5206i 0.673929 2.51514i
\(506\) 3.78910 0.168446
\(507\) −21.7037 + 5.99580i −0.963895 + 0.266283i
\(508\) −7.11279 −0.315579
\(509\) −8.46335 + 31.5857i −0.375132 + 1.40001i 0.478021 + 0.878348i \(0.341354\pi\)
−0.853152 + 0.521662i \(0.825312\pi\)
\(510\) 1.12027 27.6782i 0.0496062 1.22561i
\(511\) −9.56768 5.52390i −0.423249 0.244363i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) 0.0836835 + 0.591936i 0.00369471 + 0.0261346i
\(514\) −3.78784 + 1.01495i −0.167075 + 0.0447675i
\(515\) 12.5377 12.5377i 0.552476 0.552476i
\(516\) −4.79024 9.13095i −0.210879 0.401968i
\(517\) 8.72079 5.03495i 0.383540 0.221437i
\(518\) −5.83031 1.56223i −0.256169 0.0686404i
\(519\) 9.99679 15.8025i 0.438810 0.693653i
\(520\) 14.5453 2.27265i 0.637852 0.0996623i
\(521\) 7.53022i 0.329905i −0.986302 0.164952i \(-0.947253\pi\)
0.986302 0.164952i \(-0.0527471\pi\)
\(522\) 0.727919 + 3.98001i 0.0318601 + 0.174200i
\(523\) 4.02890 + 6.97826i 0.176172 + 0.305138i 0.940566 0.339611i \(-0.110295\pi\)
−0.764395 + 0.644749i \(0.776962\pi\)
\(524\) −9.38971 + 16.2635i −0.410191 + 0.710472i
\(525\) −4.43823 19.7225i −0.193700 0.860759i
\(526\) −4.15482 15.5060i −0.181159 0.676094i
\(527\) −1.96254 7.32430i −0.0854896 0.319052i
\(528\) 0.331495 + 1.47309i 0.0144264 + 0.0641078i
\(529\) 2.05387 3.55741i 0.0892987 0.154670i
\(530\) −0.330394 0.572259i −0.0143514 0.0248573i
\(531\) 0.0521618 + 0.285203i 0.00226363 + 0.0123768i
\(532\) 0.115051i 0.00498809i
\(533\) −3.56749 + 33.2745i −0.154525 + 1.44128i
\(534\) −8.24752 + 13.0373i −0.356905 + 0.564181i
\(535\) 33.8345 + 9.06592i 1.46279 + 0.391954i
\(536\) 13.6540 7.88317i 0.589765 0.340501i
\(537\) −3.35620 6.39744i −0.144831 0.276070i
\(538\) 19.7553 19.7553i 0.851712 0.851712i
\(539\) −0.842051 + 0.225627i −0.0362697 + 0.00971844i
\(540\) 2.96987 + 21.0074i 0.127803 + 0.904015i
\(541\) 10.8254 + 10.8254i 0.465421 + 0.465421i 0.900427 0.435007i \(-0.143254\pi\)
−0.435007 + 0.900427i \(0.643254\pi\)
\(542\) 6.87340 + 3.96836i 0.295238 + 0.170456i
\(543\) 0.0225930 0.558201i 0.000969557 0.0239547i
\(544\) −1.01378 + 3.78346i −0.0434653 + 0.162215i
\(545\) 2.26352 0.0969587
\(546\) −0.713745 6.20408i −0.0305455 0.265510i
\(547\) −21.3214 −0.911635 −0.455818 0.890073i \(-0.650653\pi\)
−0.455818 + 0.890073i \(0.650653\pi\)
\(548\) 4.74128 17.6947i 0.202537 0.755879i
\(549\) 23.6236 34.1990i 1.00823 1.45958i
\(550\) 8.81156 + 5.08736i 0.375726 + 0.216926i
\(551\) −0.109719 0.109719i −0.00467420 0.00467420i
\(552\) −7.18713 2.24098i −0.305904 0.0953826i
\(553\) −9.39017 + 2.51609i −0.399311 + 0.106995i
\(554\) 6.87179 6.87179i 0.291954 0.291954i
\(555\) 37.8010 19.8310i 1.60456 0.841781i
\(556\) 5.22313 3.01558i 0.221510 0.127889i
\(557\) −22.3532 5.98952i −0.947134 0.253784i −0.247989 0.968763i \(-0.579770\pi\)
−0.699146 + 0.714979i \(0.746436\pi\)
\(558\) 2.48784 + 5.24777i 0.105319 + 0.222156i
\(559\) −20.0227 7.73396i −0.846870 0.327112i
\(560\) 4.08308i 0.172542i
\(561\) 4.34772 4.00947i 0.183561 0.169280i
\(562\) 1.92282 + 3.33042i 0.0811092 + 0.140485i
\(563\) 6.79147 11.7632i 0.286226 0.495758i −0.686680 0.726960i \(-0.740932\pi\)
0.972906 + 0.231202i \(0.0742658\pi\)
\(564\) −19.5193 + 4.39251i −0.821911 + 0.184958i
\(565\) 10.0454 + 37.4899i 0.422613 + 1.57721i
\(566\) −2.00062 7.46642i −0.0840924 0.313837i
\(567\) 8.95505 0.898405i 0.376077 0.0377294i
\(568\) 2.49058 4.31381i 0.104502 0.181003i
\(569\) 1.47239 + 2.55025i 0.0617256 + 0.106912i 0.895237 0.445591i \(-0.147006\pi\)
−0.833511 + 0.552503i \(0.813673\pi\)
\(570\) −0.551600 0.598135i −0.0231040 0.0250531i
\(571\) 5.33967i 0.223458i −0.993739 0.111729i \(-0.964361\pi\)
0.993739 0.111729i \(-0.0356389\pi\)
\(572\) 2.53901 + 1.85280i 0.106161 + 0.0774696i
\(573\) −1.28892 0.815378i −0.0538453 0.0340629i
\(574\) −8.96532 2.40225i −0.374205 0.100268i
\(575\) −43.9339 + 25.3653i −1.83217 + 1.05781i
\(576\) 0.242450 2.99019i 0.0101021 0.124591i
\(577\) 26.8762 26.8762i 1.11887 1.11887i 0.126965 0.991907i \(-0.459476\pi\)
0.991907 0.126965i \(-0.0405236\pi\)
\(578\) −1.60118 + 0.429036i −0.0666004 + 0.0178455i
\(579\) 5.98770 19.2033i 0.248840 0.798064i
\(580\) −3.89386 3.89386i −0.161684 0.161684i
\(581\) 0.846276 + 0.488598i 0.0351095 + 0.0202705i
\(582\) −5.41619 0.219218i −0.224508 0.00908688i
\(583\) 0.0365145 0.136274i 0.00151227 0.00564388i
\(584\) −11.0478 −0.457162
\(585\) 33.4555 + 28.8322i 1.38321 + 1.19207i
\(586\) −1.53066 −0.0632309
\(587\) 2.66767 9.95588i 0.110107 0.410923i −0.888768 0.458358i \(-0.848438\pi\)
0.998874 + 0.0474345i \(0.0151045\pi\)
\(588\) 1.73063 + 0.0700467i 0.0713701 + 0.00288868i
\(589\) −0.192884 0.111362i −0.00794767 0.00458859i
\(590\) −0.279030 0.279030i −0.0114875 0.0114875i
\(591\) −10.8774 + 34.8851i −0.447435 + 1.43498i
\(592\) −5.83031 + 1.56223i −0.239624 + 0.0642072i
\(593\) −0.898752 + 0.898752i −0.0369073 + 0.0369073i −0.725320 0.688412i \(-0.758308\pi\)
0.688412 + 0.725320i \(0.258308\pi\)
\(594\) −2.72313 + 3.61986i −0.111732 + 0.148525i
\(595\) 13.8505 7.99656i 0.567813 0.327827i
\(596\) 18.5784 + 4.97807i 0.761002 + 0.203910i
\(597\) 21.9864 + 13.9088i 0.899844 + 0.569248i
\(598\) −14.3300 + 6.34434i −0.585997 + 0.259439i
\(599\) 27.5064i 1.12388i 0.827177 + 0.561941i \(0.189945\pi\)
−0.827177 + 0.561941i \(0.810055\pi\)
\(600\) −13.7048 14.8610i −0.559498 0.606700i
\(601\) −24.1175 41.7728i −0.983775 1.70395i −0.647260 0.762269i \(-0.724085\pi\)
−0.336515 0.941678i \(-0.609248\pi\)
\(602\) 2.97658 5.15560i 0.121317 0.210126i
\(603\) 44.5485 + 15.8941i 1.81416 + 0.647260i
\(604\) −0.840682 3.13747i −0.0342069 0.127662i
\(605\) −10.8215 40.3862i −0.439955 1.64193i
\(606\) −24.2164 + 5.44951i −0.983723 + 0.221371i
\(607\) −10.3216 + 17.8775i −0.418940 + 0.725625i −0.995833 0.0911944i \(-0.970932\pi\)
0.576893 + 0.816820i \(0.304265\pi\)
\(608\) 0.0575254 + 0.0996370i 0.00233296 + 0.00404081i
\(609\) −1.71723 + 1.58363i −0.0695859 + 0.0641721i
\(610\) 56.5710i 2.29049i
\(611\) −24.5508 + 33.6434i −0.993218 + 1.36107i
\(612\) −10.6180 + 5.03374i −0.429208 + 0.203477i
\(613\) −21.7484 5.82748i −0.878411 0.235370i −0.208690 0.977982i \(-0.566920\pi\)
−0.669722 + 0.742612i \(0.733587\pi\)
\(614\) −5.42556 + 3.13245i −0.218958 + 0.126415i
\(615\) 58.1269 30.4943i 2.34390 1.22965i
\(616\) −0.616424 + 0.616424i −0.0248364 + 0.0248364i
\(617\) −25.4865 + 6.82908i −1.02605 + 0.274929i −0.732320 0.680961i \(-0.761562\pi\)
−0.293727 + 0.955889i \(0.594896\pi\)
\(618\) −7.18054 2.23893i −0.288844 0.0900630i
\(619\) 13.9198 + 13.9198i 0.559485 + 0.559485i 0.929161 0.369676i \(-0.120531\pi\)
−0.369676 + 0.929161i \(0.620531\pi\)
\(620\) −6.84534 3.95216i −0.274915 0.158722i
\(621\) −8.84169 20.7826i −0.354805 0.833976i
\(622\) −6.22479 + 23.2312i −0.249591 + 0.931488i
\(623\) −8.90681 −0.356844
\(624\) −3.72016 5.01602i −0.148926 0.200801i
\(625\) −52.8669 −2.11467
\(626\) 0.653862 2.44025i 0.0261336 0.0975318i
\(627\) 0.00702542 0.173576i 0.000280568 0.00693196i
\(628\) −19.1798 11.0735i −0.765357 0.441879i
\(629\) 16.7178 + 16.7178i 0.666582 + 0.666582i
\(630\) −9.33318 + 7.93319i −0.371843 + 0.316066i
\(631\) 19.1388 5.12823i 0.761904 0.204151i 0.143112 0.989707i \(-0.454289\pi\)
0.618792 + 0.785555i \(0.287622\pi\)
\(632\) −6.87408 + 6.87408i −0.273436 + 0.273436i
\(633\) −9.06698 17.2831i −0.360380 0.686940i
\(634\) 8.19760 4.73289i 0.325568 0.187967i
\(635\) 28.0525 + 7.51664i 1.11323 + 0.298289i
\(636\) −0.149856 + 0.236887i −0.00594219 + 0.00939317i
\(637\) 2.80677 2.26320i 0.111208 0.0896711i
\(638\) 1.17572i 0.0465470i
\(639\) 14.6996 2.68847i 0.581509 0.106354i
\(640\) 2.04154 + 3.53605i 0.0806989 + 0.139775i
\(641\) 15.5716 26.9709i 0.615043 1.06529i −0.375334 0.926889i \(-0.622472\pi\)
0.990377 0.138396i \(-0.0441945\pi\)
\(642\) −3.26220 14.4965i −0.128749 0.572129i
\(643\) −9.54790 35.6332i −0.376532 1.40524i −0.851093 0.525015i \(-0.824060\pi\)
0.474561 0.880223i \(-0.342607\pi\)
\(644\) −1.12496 4.19842i −0.0443297 0.165441i
\(645\) 9.24310 + 41.0742i 0.363947 + 1.61730i
\(646\) 0.225323 0.390271i 0.00886522 0.0153550i
\(647\) 8.18728 + 14.1808i 0.321875 + 0.557504i 0.980875 0.194639i \(-0.0623536\pi\)
−0.659000 + 0.752143i \(0.729020\pi\)
\(648\) 7.30610 5.25556i 0.287011 0.206458i
\(649\) 0.0842504i 0.00330712i
\(650\) −41.8425 4.48609i −1.64120 0.175959i
\(651\) −1.79258 + 2.83363i −0.0702566 + 0.111059i
\(652\) −13.8839 3.72018i −0.543735 0.145693i
\(653\) −27.9679 + 16.1473i −1.09447 + 0.631893i −0.934763 0.355272i \(-0.884388\pi\)
−0.159707 + 0.987164i \(0.551055\pi\)
\(654\) −0.446074 0.850286i −0.0174429 0.0332488i
\(655\) 54.2194 54.2194i 2.11853 2.11853i
\(656\) −8.96532 + 2.40225i −0.350037 + 0.0937921i
\(657\) −21.4653 25.2533i −0.837440 0.985225i
\(658\) −8.16800 8.16800i −0.318422 0.318422i
\(659\) 6.00941 + 3.46954i 0.234093 + 0.135154i 0.612459 0.790502i \(-0.290180\pi\)
−0.378366 + 0.925656i \(0.623514\pi\)
\(660\) 0.249327 6.16009i 0.00970506 0.239781i
\(661\) 1.55533 5.80456i 0.0604952 0.225771i −0.929059 0.369931i \(-0.879381\pi\)
0.989554 + 0.144160i \(0.0460480\pi\)
\(662\) −14.8972 −0.578996
\(663\) −9.72933 + 22.4431i −0.377856 + 0.871616i
\(664\) 0.977196 0.0379225
\(665\) 0.121583 0.453755i 0.00471480 0.0175959i
\(666\) −14.8989 10.2917i −0.577322 0.398796i
\(667\) 5.07669 + 2.93103i 0.196570 + 0.113490i
\(668\) 12.4168 + 12.4168i 0.480421 + 0.480421i
\(669\) −41.9979 13.0952i −1.62373 0.506289i
\(670\) −62.1816 + 16.6615i −2.40229 + 0.643691i
\(671\) −8.54055 + 8.54055i −0.329704 + 0.329704i
\(672\) 1.53380 0.804655i 0.0591675 0.0310402i
\(673\) −15.8633 + 9.15871i −0.611487 + 0.353042i −0.773547 0.633739i \(-0.781519\pi\)
0.162060 + 0.986781i \(0.448186\pi\)
\(674\) −11.2207 3.00658i −0.432205 0.115809i
\(675\) 7.34192 60.2010i 0.282591 2.31714i
\(676\) −12.7045 2.75588i −0.488636 0.105995i
\(677\) 1.21920i 0.0468577i 0.999726 + 0.0234289i \(0.00745832\pi\)
−0.999726 + 0.0234289i \(0.992542\pi\)
\(678\) 12.1033 11.1617i 0.464825 0.428662i
\(679\) −1.56480 2.71031i −0.0600514 0.104012i
\(680\) 7.99656 13.8505i 0.306654 0.531141i
\(681\) −43.2943 + 9.74269i −1.65904 + 0.373341i
\(682\) −0.436785 1.63010i −0.0167254 0.0624199i
\(683\) −1.66736 6.22267i −0.0637997 0.238104i 0.926661 0.375898i \(-0.122666\pi\)
−0.990461 + 0.137794i \(0.955999\pi\)
\(684\) −0.115984 + 0.325082i −0.00443474 + 0.0124298i
\(685\) −37.3987 + 64.7765i −1.42893 + 2.47498i
\(686\) 0.500000 + 0.866025i 0.0190901 + 0.0330650i
\(687\) 31.3970 + 34.0457i 1.19787 + 1.29893i
\(688\) 5.95317i 0.226962i
\(689\) 0.0900781 + 0.576512i 0.00343170 + 0.0219634i
\(690\) 25.9774 + 16.4335i 0.988944 + 0.625614i
\(691\) −1.34963 0.361632i −0.0513424 0.0137571i 0.233056 0.972463i \(-0.425127\pi\)
−0.284399 + 0.958706i \(0.591794\pi\)
\(692\) 9.34954 5.39796i 0.355416 0.205200i
\(693\) −2.60671 0.211357i −0.0990208 0.00802881i
\(694\) 24.1303 24.1303i 0.915974 0.915974i
\(695\) −23.7866 + 6.37360i −0.902276 + 0.241764i
\(696\) −0.695352 + 2.23008i −0.0263573 + 0.0845311i
\(697\) 25.7071 + 25.7071i 0.973725 + 0.973725i
\(698\) 30.2486 + 17.4640i 1.14493 + 0.661023i
\(699\) −9.92814 0.401837i −0.375517 0.0151989i
\(700\) 3.02081 11.2738i 0.114176 0.426111i
\(701\) 28.4732 1.07542 0.537709 0.843131i \(-0.319290\pi\)
0.537709 + 0.843131i \(0.319290\pi\)
\(702\) 4.23765 18.2494i 0.159940 0.688781i
\(703\) 0.694445 0.0261915
\(704\) −0.225627 + 0.842051i −0.00850363 + 0.0317360i
\(705\) 81.6251 + 3.30374i 3.07418 + 0.124426i
\(706\) −9.75556 5.63238i −0.367155 0.211977i
\(707\) −10.1335 10.1335i −0.381111 0.381111i
\(708\) −0.0498281 + 0.159805i −0.00187266 + 0.00600585i
\(709\) −18.9191 + 5.06934i −0.710520 + 0.190383i −0.595938 0.803031i \(-0.703220\pi\)
−0.114582 + 0.993414i \(0.536553\pi\)
\(710\) −14.3815 + 14.3815i −0.539726 + 0.539726i
\(711\) −29.0689 2.35696i −1.09017 0.0883930i
\(712\) −7.71353 + 4.45341i −0.289077 + 0.166898i
\(713\) 8.12760 + 2.17778i 0.304381 + 0.0815587i
\(714\) −5.73340 3.62699i −0.214567 0.135737i
\(715\) −8.05572 9.99053i −0.301267 0.373625i
\(716\) 4.17098i 0.155877i
\(717\) 28.4337 + 30.8325i 1.06188 + 1.15146i
\(718\) 11.4568 + 19.8437i 0.427563 + 0.740561i
\(719\) 9.90890 17.1627i 0.369540 0.640061i −0.619954 0.784638i \(-0.712849\pi\)
0.989494 + 0.144577i \(0.0461821\pi\)
\(720\) −4.11618 + 11.5369i −0.153401 + 0.429956i
\(721\) −1.12393 4.19457i −0.0418574 0.156214i
\(722\) 4.91414 + 18.3398i 0.182885 + 0.682537i
\(723\) 8.56988 1.92851i 0.318717 0.0717222i
\(724\) 0.161271 0.279329i 0.00599358 0.0103812i
\(725\) 7.87056 + 13.6322i 0.292305 + 0.506287i
\(726\) −13.0384 + 12.0240i −0.483899 + 0.446252i
\(727\) 33.4588i 1.24092i 0.784239 + 0.620459i \(0.213054\pi\)
−0.784239 + 0.620459i \(0.786946\pi\)
\(728\) 1.29913 3.36337i 0.0481491 0.124655i
\(729\) 26.2086 + 6.48916i 0.970689 + 0.240339i
\(730\) 43.5720 + 11.6751i 1.61267 + 0.432114i
\(731\) −20.1941 + 11.6591i −0.746906 + 0.431226i
\(732\) 21.2507 11.1485i 0.785450 0.412060i
\(733\) −18.2108 + 18.2108i −0.672630 + 0.672630i −0.958322 0.285691i \(-0.907777\pi\)
0.285691 + 0.958322i \(0.407777\pi\)
\(734\) −19.3044 + 5.17260i −0.712539 + 0.190924i
\(735\) −6.75151 2.10516i −0.249033 0.0776499i
\(736\) −3.07346 3.07346i −0.113289 0.113289i
\(737\) −11.9030 6.87219i −0.438452 0.253140i
\(738\) −22.9102 15.8257i −0.843337 0.582551i
\(739\) 3.99352 14.9040i 0.146904 0.548253i −0.852759 0.522304i \(-0.825073\pi\)
0.999663 0.0259489i \(-0.00826071\pi\)
\(740\) 24.6454 0.905983
\(741\) 0.264060 + 0.668209i 0.00970049 + 0.0245473i
\(742\) −0.161836 −0.00594117
\(743\) 4.60363 17.1810i 0.168891 0.630309i −0.828621 0.559810i \(-0.810874\pi\)
0.997512 0.0704991i \(-0.0224592\pi\)
\(744\) −0.135602 + 3.35029i −0.00497139 + 0.122827i
\(745\) −68.0116 39.2665i −2.49175 1.43861i
\(746\) 14.1032 + 14.1032i 0.516356 + 0.516356i
\(747\) 1.89864 + 2.23369i 0.0694674 + 0.0817266i
\(748\) 3.29825 0.883764i 0.120596 0.0323136i
\(749\) 6.06615 6.06615i 0.221652 0.221652i
\(750\) 21.9191 + 41.7812i 0.800372 + 1.52563i
\(751\) −36.2976 + 20.9564i −1.32452 + 0.764710i −0.984446 0.175690i \(-0.943784\pi\)
−0.340071 + 0.940400i \(0.610451\pi\)
\(752\) −11.1577 2.98970i −0.406879 0.109023i
\(753\) −17.9422 + 28.3624i −0.653852 + 1.03358i
\(754\) 1.96858 + 4.44644i 0.0716913 + 0.161930i
\(755\) 13.2624i 0.482669i
\(756\) 4.81937 + 1.94258i 0.175279 + 0.0706511i
\(757\) −1.16801 2.02306i −0.0424522 0.0735294i 0.844019 0.536314i \(-0.180184\pi\)
−0.886471 + 0.462785i \(0.846850\pi\)
\(758\) 9.50581 16.4645i 0.345267 0.598019i
\(759\) 1.44085 + 6.40280i 0.0522995 + 0.232407i
\(760\) −0.121583 0.453755i −0.00441029 0.0164594i
\(761\) 4.92633 + 18.3853i 0.178579 + 0.666467i 0.995914 + 0.0903043i \(0.0287840\pi\)
−0.817335 + 0.576163i \(0.804549\pi\)
\(762\) −2.70472 12.0191i −0.0979816 0.435408i
\(763\) 0.277184 0.480096i 0.0100347 0.0173806i
\(764\) −0.440279 0.762586i −0.0159287 0.0275894i
\(765\) 47.1965 8.63194i 1.70639 0.312088i
\(766\) 10.7703i 0.389146i
\(767\) 0.141066 + 0.318626i 0.00509359 + 0.0115049i
\(768\) 0.925979 1.46375i 0.0334134 0.0528185i
\(769\) −25.6951 6.88497i −0.926588 0.248278i −0.236189 0.971707i \(-0.575898\pi\)
−0.690399 + 0.723429i \(0.742565\pi\)
\(770\) 3.08257 1.77972i 0.111088 0.0641367i
\(771\) −3.15542 6.01473i −0.113640 0.216615i
\(772\) 8.21199 8.21199i 0.295556 0.295556i
\(773\) 5.87152 1.57327i 0.211184 0.0565866i −0.151676 0.988430i \(-0.548467\pi\)
0.362860 + 0.931844i