Properties

Label 162.3.h.a.5.7
Level $162$
Weight $3$
Character 162.5
Analytic conductor $4.414$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 162 = 2 \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 162.h (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.41418028264\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(18\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 5.7
Character \(\chi\) \(=\) 162.5
Dual form 162.3.h.a.65.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.326140 - 1.37609i) q^{2} +(2.26424 + 1.96805i) q^{3} +(-1.78727 + 0.897598i) q^{4} +(5.11004 - 3.80428i) q^{5} +(1.96976 - 3.75766i) q^{6} +(1.09207 - 0.718268i) q^{7} +(1.81808 + 2.16670i) q^{8} +(1.25355 + 8.91227i) q^{9} +O(q^{10})\) \(q+(-0.326140 - 1.37609i) q^{2} +(2.26424 + 1.96805i) q^{3} +(-1.78727 + 0.897598i) q^{4} +(5.11004 - 3.80428i) q^{5} +(1.96976 - 3.75766i) q^{6} +(1.09207 - 0.718268i) q^{7} +(1.81808 + 2.16670i) q^{8} +(1.25355 + 8.91227i) q^{9} +(-6.90163 - 5.79116i) q^{10} +(0.264665 - 2.26436i) q^{11} +(-5.81331 - 1.48505i) q^{12} +(-0.253032 - 0.845185i) q^{13} +(-1.34457 - 1.26854i) q^{14} +(19.0574 + 1.44301i) q^{15} +(2.38863 - 3.20849i) q^{16} +(23.3401 + 4.11548i) q^{17} +(11.8553 - 4.63166i) q^{18} +(-2.06885 - 11.7331i) q^{19} +(-5.71827 + 11.3860i) q^{20} +(3.88630 + 0.522926i) q^{21} +(-3.20228 + 0.374293i) q^{22} +(2.28944 - 3.48093i) q^{23} +(-0.147615 + 8.48400i) q^{24} +(4.46983 - 14.9303i) q^{25} +(-1.08053 + 0.623844i) q^{26} +(-14.7015 + 22.6466i) q^{27} +(-1.30711 + 2.26398i) q^{28} +(-24.5345 + 23.1471i) q^{29} +(-4.22965 - 26.6953i) q^{30} +(3.03032 - 52.0286i) q^{31} +(-5.19421 - 2.24057i) q^{32} +(5.05563 - 4.60617i) q^{33} +(-1.94884 - 33.4603i) q^{34} +(2.84804 - 7.82493i) q^{35} +(-10.2401 - 14.8034i) q^{36} +(-24.3114 + 8.84861i) q^{37} +(-15.4710 + 6.67355i) q^{38} +(1.09044 - 2.41168i) q^{39} +(17.5332 + 4.15544i) q^{40} +(-10.2088 + 43.0741i) q^{41} +(-0.547885 - 5.51846i) q^{42} +(-4.51350 - 10.4635i) q^{43} +(1.55945 + 4.28457i) q^{44} +(40.3105 + 40.7732i) q^{45} +(-5.53676 - 2.01522i) q^{46} +(-82.1152 + 4.78267i) q^{47} +(11.7229 - 2.56384i) q^{48} +(-18.7312 + 43.4238i) q^{49} +(-22.0033 - 1.28154i) q^{50} +(44.7480 + 55.2528i) q^{51} +(1.21087 + 1.28345i) q^{52} +(54.6415 + 31.5473i) q^{53} +(35.9585 + 12.8446i) q^{54} +(-7.26180 - 12.5778i) q^{55} +(3.54175 + 1.06033i) q^{56} +(18.4069 - 30.6380i) q^{57} +(39.8543 + 26.2126i) q^{58} +(6.73414 + 57.6143i) q^{59} +(-35.3558 + 14.5268i) q^{60} +(-93.3320 - 46.8731i) q^{61} +(-72.5846 + 12.7986i) q^{62} +(7.77037 + 8.83247i) q^{63} +(-1.38919 + 7.87846i) q^{64} +(-4.50832 - 3.35632i) q^{65} +(-7.98736 - 5.45476i) q^{66} +(-36.1251 + 38.2904i) q^{67} +(-45.4089 + 13.5945i) q^{68} +(12.0345 - 3.37591i) q^{69} +(-11.6967 - 1.36715i) q^{70} +(60.1310 - 71.6613i) q^{71} +(-17.0312 + 18.9193i) q^{72} +(-25.8024 + 21.6507i) q^{73} +(20.1054 + 30.5688i) q^{74} +(39.5043 - 25.0089i) q^{75} +(14.2292 + 19.1131i) q^{76} +(-1.33738 - 2.66294i) q^{77} +(-3.67433 - 0.714005i) q^{78} +(-73.7084 + 17.4692i) q^{79} -25.4825i q^{80} +(-77.8572 + 22.3440i) q^{81} +62.6035 q^{82} +(-9.29137 - 39.2034i) q^{83} +(-7.41523 + 2.55373i) q^{84} +(134.925 - 67.7619i) q^{85} +(-12.9267 + 9.62355i) q^{86} +(-101.107 + 4.12544i) q^{87} +(5.38736 - 3.54332i) q^{88} +(-34.7654 - 41.4318i) q^{89} +(42.9608 - 68.7688i) q^{90} +(-0.883398 - 0.741259i) q^{91} +(-0.967366 + 8.27635i) q^{92} +(109.256 - 111.841i) q^{93} +(33.3625 + 111.438i) q^{94} +(-55.2077 - 52.0858i) q^{95} +(-7.35140 - 15.2957i) q^{96} +(18.3640 - 24.6672i) q^{97} +(65.8642 + 11.6136i) q^{98} +(20.5123 - 0.479721i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324 q+O(q^{10}) \) Copy content Toggle raw display \( 324 q + 72 q^{18} + 108 q^{20} + 270 q^{21} + 162 q^{23} - 54 q^{27} - 162 q^{29} - 216 q^{30} - 378 q^{33} - 486 q^{35} - 180 q^{36} - 108 q^{38} + 216 q^{41} + 432 q^{45} + 324 q^{47} + 126 q^{51} - 216 q^{57} - 378 q^{59} - 540 q^{63} - 1728 q^{65} - 1008 q^{66} + 702 q^{67} - 216 q^{68} - 1872 q^{69} + 540 q^{70} - 1296 q^{71} - 576 q^{72} - 864 q^{74} - 900 q^{75} + 108 q^{76} - 864 q^{77} - 288 q^{78} + 108 q^{79} + 144 q^{81} + 432 q^{83} + 144 q^{84} - 540 q^{85} + 864 q^{86} + 2016 q^{87} - 216 q^{88} + 1782 q^{89} + 1440 q^{90} + 864 q^{92} + 2124 q^{93} - 756 q^{94} + 2808 q^{95} + 288 q^{96} - 918 q^{97} + 1296 q^{98} + 1800 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).

\(n\) \(83\)
\(\chi(n)\) \(e\left(\frac{23}{54}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.326140 1.37609i −0.163070 0.688047i
\(3\) 2.26424 + 1.96805i 0.754746 + 0.656017i
\(4\) −1.78727 + 0.897598i −0.446816 + 0.224400i
\(5\) 5.11004 3.80428i 1.02201 0.760856i 0.0507071 0.998714i \(-0.483853\pi\)
0.971300 + 0.237857i \(0.0764451\pi\)
\(6\) 1.96976 3.75766i 0.328294 0.626277i
\(7\) 1.09207 0.718268i 0.156011 0.102610i −0.469103 0.883143i \(-0.655423\pi\)
0.625114 + 0.780534i \(0.285052\pi\)
\(8\) 1.81808 + 2.16670i 0.227260 + 0.270838i
\(9\) 1.25355 + 8.91227i 0.139284 + 0.990253i
\(10\) −6.90163 5.79116i −0.690163 0.579116i
\(11\) 0.264665 2.26436i 0.0240605 0.205850i −0.975861 0.218393i \(-0.929918\pi\)
0.999921 + 0.0125427i \(0.00399256\pi\)
\(12\) −5.81331 1.48505i −0.484443 0.123754i
\(13\) −0.253032 0.845185i −0.0194640 0.0650142i 0.947706 0.319145i \(-0.103396\pi\)
−0.967170 + 0.254131i \(0.918211\pi\)
\(14\) −1.34457 1.26854i −0.0960409 0.0906099i
\(15\) 19.0574 + 1.44301i 1.27049 + 0.0962007i
\(16\) 2.38863 3.20849i 0.149290 0.200531i
\(17\) 23.3401 + 4.11548i 1.37294 + 0.242087i 0.810980 0.585074i \(-0.198935\pi\)
0.561965 + 0.827161i \(0.310046\pi\)
\(18\) 11.8553 4.63166i 0.658627 0.257314i
\(19\) −2.06885 11.7331i −0.108887 0.617529i −0.989596 0.143872i \(-0.954045\pi\)
0.880709 0.473657i \(-0.157066\pi\)
\(20\) −5.71827 + 11.3860i −0.285914 + 0.569301i
\(21\) 3.88630 + 0.522926i 0.185062 + 0.0249012i
\(22\) −3.20228 + 0.374293i −0.145558 + 0.0170133i
\(23\) 2.28944 3.48093i 0.0995410 0.151345i −0.782283 0.622923i \(-0.785945\pi\)
0.881824 + 0.471578i \(0.156315\pi\)
\(24\) −0.147615 + 8.48400i −0.00615062 + 0.353500i
\(25\) 4.46983 14.9303i 0.178793 0.597211i
\(26\) −1.08053 + 0.623844i −0.0415588 + 0.0239940i
\(27\) −14.7015 + 22.6466i −0.544499 + 0.838762i
\(28\) −1.30711 + 2.26398i −0.0466825 + 0.0808564i
\(29\) −24.5345 + 23.1471i −0.846017 + 0.798176i −0.981271 0.192635i \(-0.938297\pi\)
0.135253 + 0.990811i \(0.456815\pi\)
\(30\) −4.22965 26.6953i −0.140988 0.889844i
\(31\) 3.03032 52.0286i 0.0977524 1.67834i −0.491873 0.870667i \(-0.663688\pi\)
0.589626 0.807677i \(-0.299275\pi\)
\(32\) −5.19421 2.24057i −0.162319 0.0700177i
\(33\) 5.05563 4.60617i 0.153201 0.139581i
\(34\) −1.94884 33.4603i −0.0573189 0.984127i
\(35\) 2.84804 7.82493i 0.0813726 0.223569i
\(36\) −10.2401 14.8034i −0.284446 0.411206i
\(37\) −24.3114 + 8.84861i −0.657064 + 0.239152i −0.648968 0.760816i \(-0.724799\pi\)
−0.00809567 + 0.999967i \(0.502577\pi\)
\(38\) −15.4710 + 6.67355i −0.407133 + 0.175620i
\(39\) 1.09044 2.41168i 0.0279601 0.0618379i
\(40\) 17.5332 + 4.15544i 0.438330 + 0.103886i
\(41\) −10.2088 + 43.0741i −0.248994 + 1.05059i 0.694577 + 0.719418i \(0.255592\pi\)
−0.943571 + 0.331170i \(0.892557\pi\)
\(42\) −0.547885 5.51846i −0.0130449 0.131392i
\(43\) −4.51350 10.4635i −0.104965 0.243336i 0.857637 0.514256i \(-0.171932\pi\)
−0.962602 + 0.270919i \(0.912672\pi\)
\(44\) 1.55945 + 4.28457i 0.0354422 + 0.0973765i
\(45\) 40.3105 + 40.7732i 0.895789 + 0.906070i
\(46\) −5.53676 2.01522i −0.120364 0.0438091i
\(47\) −82.1152 + 4.78267i −1.74713 + 0.101759i −0.901711 0.432340i \(-0.857688\pi\)
−0.845422 + 0.534099i \(0.820651\pi\)
\(48\) 11.7229 2.56384i 0.244227 0.0534133i
\(49\) −18.7312 + 43.4238i −0.382269 + 0.886200i
\(50\) −22.0033 1.28154i −0.440065 0.0256309i
\(51\) 44.7480 + 55.2528i 0.877411 + 1.08339i
\(52\) 1.21087 + 1.28345i 0.0232860 + 0.0246817i
\(53\) 54.6415 + 31.5473i 1.03097 + 0.595232i 0.917263 0.398282i \(-0.130393\pi\)
0.113709 + 0.993514i \(0.463727\pi\)
\(54\) 35.9585 + 12.8446i 0.665899 + 0.237863i
\(55\) −7.26180 12.5778i −0.132033 0.228687i
\(56\) 3.54175 + 1.06033i 0.0632455 + 0.0189345i
\(57\) 18.4069 30.6380i 0.322927 0.537509i
\(58\) 39.8543 + 26.2126i 0.687143 + 0.451941i
\(59\) 6.73414 + 57.6143i 0.114138 + 0.976513i 0.922013 + 0.387159i \(0.126544\pi\)
−0.807875 + 0.589354i \(0.799382\pi\)
\(60\) −35.3558 + 14.5268i −0.589263 + 0.242114i
\(61\) −93.3320 46.8731i −1.53003 0.768411i −0.533054 0.846081i \(-0.678956\pi\)
−0.996979 + 0.0776700i \(0.975252\pi\)
\(62\) −72.5846 + 12.7986i −1.17072 + 0.206429i
\(63\) 7.77037 + 8.83247i 0.123339 + 0.140198i
\(64\) −1.38919 + 7.87846i −0.0217060 + 0.123101i
\(65\) −4.50832 3.35632i −0.0693588 0.0516357i
\(66\) −7.98736 5.45476i −0.121021 0.0826480i
\(67\) −36.1251 + 38.2904i −0.539181 + 0.571499i −0.938485 0.345320i \(-0.887770\pi\)
0.399304 + 0.916819i \(0.369252\pi\)
\(68\) −45.4089 + 13.5945i −0.667778 + 0.199920i
\(69\) 12.0345 3.37591i 0.174413 0.0489263i
\(70\) −11.6967 1.36715i −0.167096 0.0195307i
\(71\) 60.1310 71.6613i 0.846916 1.00931i −0.152862 0.988247i \(-0.548849\pi\)
0.999778 0.0210672i \(-0.00670640\pi\)
\(72\) −17.0312 + 18.9193i −0.236544 + 0.262768i
\(73\) −25.8024 + 21.6507i −0.353457 + 0.296586i −0.802176 0.597087i \(-0.796325\pi\)
0.448720 + 0.893673i \(0.351880\pi\)
\(74\) 20.1054 + 30.5688i 0.271695 + 0.413092i
\(75\) 39.5043 25.0089i 0.526724 0.333452i
\(76\) 14.2292 + 19.1131i 0.187226 + 0.251488i
\(77\) −1.33738 2.66294i −0.0173686 0.0345837i
\(78\) −3.67433 0.714005i −0.0471068 0.00915391i
\(79\) −73.7084 + 17.4692i −0.933018 + 0.221129i −0.668893 0.743359i \(-0.733231\pi\)
−0.264125 + 0.964488i \(0.585083\pi\)
\(80\) 25.4825i 0.318532i
\(81\) −77.8572 + 22.3440i −0.961200 + 0.275852i
\(82\) 62.6035 0.763457
\(83\) −9.29137 39.2034i −0.111944 0.472330i −0.999923 0.0124446i \(-0.996039\pi\)
0.887978 0.459885i \(-0.152109\pi\)
\(84\) −7.41523 + 2.55373i −0.0882766 + 0.0304016i
\(85\) 134.925 67.7619i 1.58735 0.797198i
\(86\) −12.9267 + 9.62355i −0.150310 + 0.111902i
\(87\) −101.107 + 4.12544i −1.16215 + 0.0474188i
\(88\) 5.38736 3.54332i 0.0612200 0.0402650i
\(89\) −34.7654 41.4318i −0.390622 0.465526i 0.534514 0.845159i \(-0.320495\pi\)
−0.925137 + 0.379634i \(0.876050\pi\)
\(90\) 42.9608 68.7688i 0.477342 0.764097i
\(91\) −0.883398 0.741259i −0.00970767 0.00814570i
\(92\) −0.967366 + 8.27635i −0.0105148 + 0.0899603i
\(93\) 109.256 111.841i 1.17480 1.20260i
\(94\) 33.3625 + 111.438i 0.354920 + 1.18552i
\(95\) −55.2077 52.0858i −0.581134 0.548272i
\(96\) −7.35140 15.2957i −0.0765770 0.159330i
\(97\) 18.3640 24.6672i 0.189320 0.254301i −0.697321 0.716759i \(-0.745625\pi\)
0.886641 + 0.462458i \(0.153032\pi\)
\(98\) 65.8642 + 11.6136i 0.672083 + 0.118506i
\(99\) 20.5123 0.479721i 0.207195 0.00484567i
\(100\) 5.41262 + 30.6965i 0.0541262 + 0.306965i
\(101\) 35.8240 71.3314i 0.354693 0.706252i −0.643556 0.765399i \(-0.722542\pi\)
0.998249 + 0.0591471i \(0.0188381\pi\)
\(102\) 61.4390 79.5976i 0.602343 0.780368i
\(103\) 22.2638 2.60227i 0.216154 0.0252648i −0.00732670 0.999973i \(-0.502332\pi\)
0.223480 + 0.974708i \(0.428258\pi\)
\(104\) 1.37123 2.08486i 0.0131849 0.0200467i
\(105\) 21.8485 12.1124i 0.208081 0.115356i
\(106\) 25.5912 85.4807i 0.241427 0.806422i
\(107\) 60.6622 35.0233i 0.566936 0.327321i −0.188989 0.981979i \(-0.560521\pi\)
0.755925 + 0.654659i \(0.227188\pi\)
\(108\) 5.94789 53.6714i 0.0550730 0.496958i
\(109\) 20.7460 35.9330i 0.190330 0.329661i −0.755030 0.655691i \(-0.772378\pi\)
0.945360 + 0.326030i \(0.105711\pi\)
\(110\) −14.9399 + 14.0950i −0.135817 + 0.128137i
\(111\) −72.4612 27.8106i −0.652804 0.250546i
\(112\) 0.304006 5.21959i 0.00271434 0.0466035i
\(113\) 102.876 + 44.3765i 0.910410 + 0.392713i 0.799187 0.601083i \(-0.205264\pi\)
0.111224 + 0.993795i \(0.464523\pi\)
\(114\) −48.1640 15.3373i −0.422491 0.134537i
\(115\) −1.54330 26.4974i −0.0134200 0.230412i
\(116\) 23.0729 63.3922i 0.198904 0.546484i
\(117\) 7.21533 3.31457i 0.0616695 0.0283297i
\(118\) 77.0863 28.0571i 0.653274 0.237772i
\(119\) 28.4451 12.2700i 0.239034 0.103109i
\(120\) 31.5212 + 43.9151i 0.262677 + 0.365959i
\(121\) 112.681 + 26.7059i 0.931249 + 0.220710i
\(122\) −34.0624 + 143.721i −0.279200 + 1.17804i
\(123\) −107.887 + 77.4387i −0.877131 + 0.629583i
\(124\) 41.2848 + 95.7090i 0.332942 + 0.771847i
\(125\) 20.5142 + 56.3622i 0.164113 + 0.450898i
\(126\) 9.62007 13.5734i 0.0763498 0.107725i
\(127\) −59.4925 21.6535i −0.468445 0.170500i 0.0970030 0.995284i \(-0.469074\pi\)
−0.565448 + 0.824784i \(0.691297\pi\)
\(128\) 11.2946 0.657834i 0.0882388 0.00513933i
\(129\) 10.3730 32.5746i 0.0804108 0.252516i
\(130\) −3.14827 + 7.29850i −0.0242174 + 0.0561423i
\(131\) −158.286 9.21911i −1.20829 0.0703748i −0.557856 0.829938i \(-0.688376\pi\)
−0.650434 + 0.759563i \(0.725413\pi\)
\(132\) −4.90127 + 12.7704i −0.0371308 + 0.0967452i
\(133\) −10.6868 11.3274i −0.0803520 0.0851681i
\(134\) 64.4730 + 37.2235i 0.481142 + 0.277788i
\(135\) 11.0289 + 171.653i 0.0816956 + 1.27151i
\(136\) 33.5170 + 58.0532i 0.246449 + 0.426862i
\(137\) −8.69608 2.60344i −0.0634751 0.0190032i 0.254908 0.966965i \(-0.417955\pi\)
−0.318383 + 0.947962i \(0.603140\pi\)
\(138\) −8.57050 15.4596i −0.0621051 0.112026i
\(139\) −3.89899 2.56440i −0.0280503 0.0184490i 0.535406 0.844595i \(-0.320158\pi\)
−0.563457 + 0.826146i \(0.690529\pi\)
\(140\) 1.93344 + 16.5416i 0.0138103 + 0.118154i
\(141\) −195.341 150.778i −1.38540 1.06935i
\(142\) −118.224 59.3742i −0.832562 0.418128i
\(143\) −1.98077 + 0.349263i −0.0138515 + 0.00244240i
\(144\) 31.5892 + 17.2661i 0.219370 + 0.119904i
\(145\) −37.3141 + 211.619i −0.257339 + 1.45944i
\(146\) 38.2086 + 28.4453i 0.261703 + 0.194831i
\(147\) −127.872 + 61.4579i −0.869878 + 0.418081i
\(148\) 35.5084 37.6367i 0.239921 0.254302i
\(149\) 275.056 82.3465i 1.84602 0.552661i 0.846212 0.532847i \(-0.178878\pi\)
0.999804 0.0198142i \(-0.00630748\pi\)
\(150\) −47.2985 46.2052i −0.315323 0.308035i
\(151\) −53.9699 6.30818i −0.357417 0.0417760i −0.0645100 0.997917i \(-0.520548\pi\)
−0.292907 + 0.956141i \(0.594623\pi\)
\(152\) 21.6607 25.8142i 0.142504 0.169830i
\(153\) −7.42030 + 213.172i −0.0484987 + 1.39328i
\(154\) −3.22828 + 2.70885i −0.0209629 + 0.0175900i
\(155\) −182.447 277.396i −1.17707 1.78965i
\(156\) 0.215810 + 5.28909i 0.00138340 + 0.0339044i
\(157\) 73.3589 + 98.5381i 0.467254 + 0.627631i 0.971815 0.235745i \(-0.0757530\pi\)
−0.504561 + 0.863376i \(0.668346\pi\)
\(158\) 48.0785 + 95.7322i 0.304295 + 0.605900i
\(159\) 61.6348 + 178.968i 0.387640 + 1.12558i
\(160\) −35.0664 + 8.31088i −0.219165 + 0.0519430i
\(161\) 5.44587i 0.0338253i
\(162\) 56.1398 + 99.8515i 0.346542 + 0.616367i
\(163\) −217.349 −1.33343 −0.666715 0.745313i \(-0.732300\pi\)
−0.666715 + 0.745313i \(0.732300\pi\)
\(164\) −20.4175 86.1482i −0.124497 0.525294i
\(165\) 8.31131 42.7707i 0.0503716 0.259216i
\(166\) −50.9172 + 25.5716i −0.306730 + 0.154046i
\(167\) 241.082 179.479i 1.44360 1.07472i 0.461337 0.887225i \(-0.347370\pi\)
0.982265 0.187497i \(-0.0600375\pi\)
\(168\) 5.93258 + 9.37118i 0.0353130 + 0.0557808i
\(169\) 140.547 92.4393i 0.831640 0.546978i
\(170\) −137.251 163.569i −0.807359 0.962173i
\(171\) 101.975 33.1462i 0.596344 0.193837i
\(172\) 17.4588 + 14.6497i 0.101505 + 0.0851726i
\(173\) −2.22332 + 19.0218i −0.0128516 + 0.109952i −0.998142 0.0609388i \(-0.980591\pi\)
0.985290 + 0.170891i \(0.0546646\pi\)
\(174\) 38.6519 + 137.787i 0.222137 + 0.791878i
\(175\) −5.84256 19.5155i −0.0333860 0.111517i
\(176\) −6.63298 6.25789i −0.0376874 0.0355562i
\(177\) −98.1401 + 143.706i −0.554464 + 0.811896i
\(178\) −45.6756 + 61.3530i −0.256605 + 0.344680i
\(179\) 279.389 + 49.2638i 1.56083 + 0.275217i 0.886329 0.463056i \(-0.153247\pi\)
0.674502 + 0.738273i \(0.264358\pi\)
\(180\) −108.643 36.6898i −0.603575 0.203832i
\(181\) 46.1681 + 261.832i 0.255072 + 1.44659i 0.795887 + 0.605445i \(0.207005\pi\)
−0.540815 + 0.841142i \(0.681884\pi\)
\(182\) −0.731930 + 1.45739i −0.00402159 + 0.00800765i
\(183\) −119.077 289.814i −0.650696 1.58368i
\(184\) 11.7045 1.36806i 0.0636115 0.00743512i
\(185\) −90.5693 + 137.704i −0.489564 + 0.744346i
\(186\) −189.537 113.871i −1.01902 0.612210i
\(187\) 15.4962 51.7610i 0.0828674 0.276797i
\(188\) 142.469 82.2544i 0.757813 0.437523i
\(189\) 0.211230 + 35.2913i 0.00111762 + 0.186726i
\(190\) −53.6695 + 92.9583i −0.282471 + 0.489254i
\(191\) −72.2706 + 68.1838i −0.378380 + 0.356983i −0.851812 0.523847i \(-0.824496\pi\)
0.473432 + 0.880830i \(0.343015\pi\)
\(192\) −18.6507 + 15.1047i −0.0971389 + 0.0786705i
\(193\) 20.2911 348.385i 0.105135 1.80510i −0.374069 0.927401i \(-0.622038\pi\)
0.479204 0.877703i \(-0.340925\pi\)
\(194\) −39.9336 17.2257i −0.205843 0.0887921i
\(195\) −3.60250 16.4721i −0.0184744 0.0844724i
\(196\) −5.49951 94.4229i −0.0280587 0.481750i
\(197\) 35.3171 97.0328i 0.179274 0.492553i −0.817209 0.576341i \(-0.804480\pi\)
0.996484 + 0.0837888i \(0.0267021\pi\)
\(198\) −7.35003 28.0704i −0.0371214 0.141770i
\(199\) −234.190 + 85.2382i −1.17683 + 0.428332i −0.855083 0.518492i \(-0.826494\pi\)
−0.321751 + 0.946824i \(0.604271\pi\)
\(200\) 40.4760 17.4596i 0.202380 0.0872981i
\(201\) −157.153 + 15.6025i −0.781858 + 0.0776245i
\(202\) −109.842 26.0331i −0.543774 0.128877i
\(203\) −10.1677 + 42.9007i −0.0500870 + 0.211334i
\(204\) −129.571 58.5858i −0.635154 0.287185i
\(205\) 111.699 + 258.947i 0.544873 + 1.26316i
\(206\) −10.8421 29.7884i −0.0526315 0.144604i
\(207\) 33.8929 + 16.0406i 0.163734 + 0.0774909i
\(208\) −3.31617 1.20699i −0.0159431 0.00580282i
\(209\) −27.1154 + 1.57929i −0.129739 + 0.00755641i
\(210\) −23.7935 26.1152i −0.113302 0.124358i
\(211\) −32.3843 + 75.0753i −0.153480 + 0.355807i −0.977557 0.210671i \(-0.932435\pi\)
0.824077 + 0.566478i \(0.191694\pi\)
\(212\) −125.976 7.33725i −0.594225 0.0346097i
\(213\) 277.184 43.9175i 1.30133 0.206186i
\(214\) −67.9797 72.0543i −0.317662 0.336702i
\(215\) −62.8701 36.2981i −0.292419 0.168828i
\(216\) −75.7967 + 9.31956i −0.350911 + 0.0431461i
\(217\) −34.0612 58.9957i −0.156964 0.271870i
\(218\) −56.2133 16.8292i −0.257859 0.0771980i
\(219\) −101.032 1.75789i −0.461335 0.00802687i
\(220\) 24.2686 + 15.9617i 0.110312 + 0.0725531i
\(221\) −2.42743 20.7680i −0.0109839 0.0939729i
\(222\) −14.6375 + 108.784i −0.0659347 + 0.490016i
\(223\) 243.831 + 122.456i 1.09341 + 0.549132i 0.901719 0.432323i \(-0.142306\pi\)
0.191693 + 0.981455i \(0.438602\pi\)
\(224\) −7.28179 + 1.28398i −0.0325080 + 0.00573204i
\(225\) 138.666 + 21.1205i 0.616293 + 0.0938688i
\(226\) 27.5141 156.040i 0.121744 0.690444i
\(227\) −97.8225 72.8261i −0.430936 0.320820i 0.359742 0.933052i \(-0.382865\pi\)
−0.790678 + 0.612232i \(0.790272\pi\)
\(228\) −5.39729 + 71.2803i −0.0236723 + 0.312633i
\(229\) −57.3193 + 60.7549i −0.250303 + 0.265305i −0.840327 0.542080i \(-0.817637\pi\)
0.590024 + 0.807386i \(0.299118\pi\)
\(230\) −35.9595 + 10.7656i −0.156346 + 0.0468068i
\(231\) 2.21266 8.66157i 0.00957861 0.0374960i
\(232\) −94.7585 11.0757i −0.408442 0.0477400i
\(233\) −249.640 + 297.510i −1.07142 + 1.27687i −0.112357 + 0.993668i \(0.535840\pi\)
−0.959061 + 0.283199i \(0.908604\pi\)
\(234\) −6.91437 8.84795i −0.0295486 0.0378117i
\(235\) −401.417 + 336.829i −1.70816 + 1.43332i
\(236\) −63.7502 96.9274i −0.270128 0.410710i
\(237\) −201.274 105.507i −0.849256 0.445179i
\(238\) −26.1618 35.1413i −0.109923 0.147653i
\(239\) 195.020 + 388.317i 0.815983 + 1.62476i 0.780310 + 0.625392i \(0.215061\pi\)
0.0356726 + 0.999364i \(0.488643\pi\)
\(240\) 50.1509 57.6986i 0.208962 0.240411i
\(241\) 404.311 95.8235i 1.67764 0.397608i 0.721941 0.691955i \(-0.243250\pi\)
0.955699 + 0.294347i \(0.0951020\pi\)
\(242\) 163.770i 0.676734i
\(243\) −220.261 102.635i −0.906426 0.422365i
\(244\) 208.882 0.856075
\(245\) 69.4792 + 293.156i 0.283589 + 1.19655i
\(246\) 141.749 + 123.207i 0.576216 + 0.500841i
\(247\) −9.39311 + 4.71740i −0.0380288 + 0.0190988i
\(248\) 118.240 88.0263i 0.476774 0.354945i
\(249\) 56.1164 107.052i 0.225367 0.429927i
\(250\) 70.8692 46.6114i 0.283477 0.186446i
\(251\) 209.976 + 250.239i 0.836557 + 0.996970i 0.999946 + 0.0104083i \(0.00331313\pi\)
−0.163389 + 0.986562i \(0.552242\pi\)
\(252\) −21.8157 8.81129i −0.0865703 0.0349654i
\(253\) −7.27613 6.10540i −0.0287594 0.0241320i
\(254\) −10.3943 + 88.9293i −0.0409226 + 0.350115i
\(255\) 438.861 + 112.110i 1.72102 + 0.439648i
\(256\) −4.58885 15.3278i −0.0179252 0.0598743i
\(257\) −186.831 176.266i −0.726970 0.685861i 0.230927 0.972971i \(-0.425824\pi\)
−0.957898 + 0.287110i \(0.907306\pi\)
\(258\) −48.2087 3.65033i −0.186856 0.0141486i
\(259\) −20.1941 + 27.1254i −0.0779696 + 0.104731i
\(260\) 11.0702 + 1.95197i 0.0425777 + 0.00750759i
\(261\) −237.049 189.642i −0.908233 0.726598i
\(262\) 38.9370 + 220.823i 0.148615 + 0.842836i
\(263\) 139.288 277.345i 0.529612 1.05454i −0.456695 0.889624i \(-0.650967\pi\)
0.986307 0.164921i \(-0.0527369\pi\)
\(264\) 19.1717 + 2.57967i 0.0726201 + 0.00977148i
\(265\) 399.235 46.6639i 1.50655 0.176090i
\(266\) −12.1021 + 18.4004i −0.0454967 + 0.0691743i
\(267\) 2.82270 162.232i 0.0105719 0.607609i
\(268\) 30.1958 100.861i 0.112671 0.376347i
\(269\) −208.996 + 120.664i −0.776936 + 0.448564i −0.835343 0.549729i \(-0.814731\pi\)
0.0584075 + 0.998293i \(0.481398\pi\)
\(270\) 232.614 71.1598i 0.861533 0.263555i
\(271\) 243.048 420.972i 0.896857 1.55340i 0.0653677 0.997861i \(-0.479178\pi\)
0.831489 0.555541i \(-0.187489\pi\)
\(272\) 68.9553 65.0560i 0.253512 0.239177i
\(273\) −0.541389 3.41696i −0.00198311 0.0125163i
\(274\) −0.746430 + 12.8157i −0.00272420 + 0.0467727i
\(275\) −32.6245 14.0728i −0.118634 0.0511739i
\(276\) −18.4786 + 16.8358i −0.0669515 + 0.0609993i
\(277\) −15.5547 267.064i −0.0561542 0.964131i −0.902281 0.431149i \(-0.858108\pi\)
0.846127 0.532982i \(-0.178929\pi\)
\(278\) −2.25724 + 6.20173i −0.00811958 + 0.0223084i
\(279\) 467.492 38.2136i 1.67560 0.136966i
\(280\) 22.1322 8.05548i 0.0790437 0.0287696i
\(281\) −157.564 + 67.9665i −0.560726 + 0.241874i −0.657528 0.753430i \(-0.728398\pi\)
0.0968021 + 0.995304i \(0.469139\pi\)
\(282\) −143.776 + 317.982i −0.509843 + 1.12760i
\(283\) −130.819 31.0047i −0.462258 0.109557i −0.00711356 0.999975i \(-0.502264\pi\)
−0.455145 + 0.890417i \(0.650412\pi\)
\(284\) −43.1470 + 182.051i −0.151926 + 0.641026i
\(285\) −22.4960 226.586i −0.0789332 0.795040i
\(286\) 1.12663 + 2.61181i 0.00393925 + 0.00913221i
\(287\) 19.7901 + 54.3727i 0.0689549 + 0.189452i
\(288\) 13.4573 49.1009i 0.0467268 0.170489i
\(289\) 256.250 + 93.2673i 0.886678 + 0.322724i
\(290\) 303.377 17.6697i 1.04613 0.0609299i
\(291\) 90.1268 19.7110i 0.309714 0.0677355i
\(292\) 26.6820 61.8558i 0.0913766 0.211835i
\(293\) 7.16287 + 0.417190i 0.0244467 + 0.00142386i 0.0703638 0.997521i \(-0.477584\pi\)
−0.0459171 + 0.998945i \(0.514621\pi\)
\(294\) 126.276 + 155.920i 0.429510 + 0.530340i
\(295\) 253.593 + 268.792i 0.859636 + 0.911161i
\(296\) −63.3722 36.5880i −0.214095 0.123608i
\(297\) 47.3889 + 39.2831i 0.159559 + 0.132266i
\(298\) −203.023 351.647i −0.681286 1.18002i
\(299\) −3.52133 1.05422i −0.0117770 0.00352581i
\(300\) −48.1568 + 80.1565i −0.160523 + 0.267188i
\(301\) −12.4446 8.18497i −0.0413443 0.0271926i
\(302\) 8.92111 + 76.3250i 0.0295401 + 0.252732i
\(303\) 221.498 91.0079i 0.731016 0.300356i
\(304\) −42.5871 21.3881i −0.140089 0.0703555i
\(305\) −655.248 + 115.538i −2.14836 + 0.378813i
\(306\) 295.764 59.3129i 0.966551 0.193833i
\(307\) 60.3763 342.411i 0.196666 1.11535i −0.713361 0.700796i \(-0.752828\pi\)
0.910027 0.414549i \(-0.136061\pi\)
\(308\) 4.78051 + 3.55896i 0.0155211 + 0.0115551i
\(309\) 55.5320 + 37.9242i 0.179715 + 0.122732i
\(310\) −322.220 + 341.534i −1.03942 + 1.10172i
\(311\) 182.804 54.7280i 0.587795 0.175974i 0.0209244 0.999781i \(-0.493339\pi\)
0.566871 + 0.823807i \(0.308154\pi\)
\(312\) 7.20789 2.02196i 0.0231022 0.00648063i
\(313\) −451.845 52.8131i −1.44360 0.168732i −0.642048 0.766664i \(-0.721915\pi\)
−0.801547 + 0.597932i \(0.795989\pi\)
\(314\) 111.672 133.086i 0.355644 0.423840i
\(315\) 73.3081 + 15.5736i 0.232724 + 0.0494399i
\(316\) 116.056 97.3827i 0.367266 0.308173i
\(317\) −308.536 469.105i −0.973298 1.47983i −0.874679 0.484703i \(-0.838928\pi\)
−0.0986193 0.995125i \(-0.531443\pi\)
\(318\) 226.175 143.184i 0.711242 0.450264i
\(319\) 45.9199 + 61.6811i 0.143949 + 0.193358i
\(320\) 22.8731 + 45.5441i 0.0714784 + 0.142325i
\(321\) 206.281 + 40.0851i 0.642621 + 0.124876i
\(322\) −7.49402 + 1.77612i −0.0232734 + 0.00551589i
\(323\) 282.364i 0.874193i
\(324\) 119.096 109.819i 0.367579 0.338948i
\(325\) −13.7499 −0.0423072
\(326\) 70.8863 + 299.093i 0.217443 + 0.917462i
\(327\) 117.692 40.5319i 0.359914 0.123951i
\(328\) −111.889 + 56.1928i −0.341125 + 0.171319i
\(329\) −86.2406 + 64.2038i −0.262130 + 0.195148i
\(330\) −61.5671 + 2.51211i −0.186567 + 0.00761246i
\(331\) −264.488 + 173.956i −0.799056 + 0.525548i −0.882136 0.470995i \(-0.843895\pi\)
0.0830794 + 0.996543i \(0.473525\pi\)
\(332\) 51.7950 + 61.7269i 0.156009 + 0.185924i
\(333\) −109.337 205.577i −0.328339 0.617349i
\(334\) −325.606 273.216i −0.974867 0.818011i
\(335\) −38.9333 + 333.096i −0.116219 + 0.994315i
\(336\) 10.9608 11.2201i 0.0326213 0.0333931i
\(337\) −93.7518 313.153i −0.278195 0.929236i −0.976877 0.213804i \(-0.931415\pi\)
0.698682 0.715433i \(-0.253770\pi\)
\(338\) −173.043 163.258i −0.511962 0.483011i
\(339\) 145.601 + 302.945i 0.429503 + 0.893643i
\(340\) −180.324 + 242.217i −0.530364 + 0.712402i
\(341\) −117.009 20.6319i −0.343136 0.0605041i
\(342\) −78.8703 129.516i −0.230615 0.378703i
\(343\) 21.8560 + 123.951i 0.0637200 + 0.361374i
\(344\) 14.4653 28.8028i 0.0420503 0.0837291i
\(345\) 48.6538 63.0336i 0.141025 0.182706i
\(346\) 26.9008 3.14426i 0.0777481 0.00908745i
\(347\) −125.143 + 190.271i −0.360643 + 0.548331i −0.969545 0.244915i \(-0.921240\pi\)
0.608902 + 0.793246i \(0.291610\pi\)
\(348\) 177.001 98.1264i 0.508625 0.281972i
\(349\) 33.4737 111.810i 0.0959131 0.320372i −0.896546 0.442951i \(-0.853931\pi\)
0.992459 + 0.122579i \(0.0391166\pi\)
\(350\) −24.9497 + 14.4047i −0.0712847 + 0.0411563i
\(351\) 22.8605 + 6.69515i 0.0651295 + 0.0190745i
\(352\) −6.44816 + 11.1685i −0.0183186 + 0.0317288i
\(353\) −305.401 + 288.131i −0.865159 + 0.816235i −0.984275 0.176645i \(-0.943475\pi\)
0.119116 + 0.992880i \(0.461994\pi\)
\(354\) 229.760 + 88.1818i 0.649039 + 0.249101i
\(355\) 34.6517 594.947i 0.0976105 1.67591i
\(356\) 99.3241 + 42.8442i 0.279000 + 0.120349i
\(357\) 88.5544 + 28.1991i 0.248052 + 0.0789891i
\(358\) −23.3283 400.532i −0.0651629 1.11880i
\(359\) 47.2077 129.702i 0.131498 0.361287i −0.856417 0.516284i \(-0.827315\pi\)
0.987915 + 0.154998i \(0.0495370\pi\)
\(360\) −15.0556 + 161.470i −0.0418212 + 0.448527i
\(361\) 205.845 74.9213i 0.570207 0.207538i
\(362\) 345.248 148.926i 0.953724 0.411397i
\(363\) 202.578 + 282.231i 0.558067 + 0.777495i
\(364\) 2.24422 + 0.531890i 0.00616544 + 0.00146124i
\(365\) −49.4854 + 208.795i −0.135577 + 0.572042i
\(366\) −359.975 + 258.381i −0.983539 + 0.705960i
\(367\) 173.776 + 402.859i 0.473505 + 1.09771i 0.972878 + 0.231320i \(0.0743044\pi\)
−0.499373 + 0.866387i \(0.666436\pi\)
\(368\) −5.69989 15.6603i −0.0154888 0.0425553i
\(369\) −396.685 36.9875i −1.07503 0.100237i
\(370\) 219.032 + 79.7211i 0.591978 + 0.215462i
\(371\) 82.3320 4.79529i 0.221919 0.0129253i
\(372\) −94.8815 + 297.959i −0.255058 + 0.800964i
\(373\) −111.213 + 257.821i −0.298158 + 0.691208i −0.999772 0.0213492i \(-0.993204\pi\)
0.701614 + 0.712557i \(0.252463\pi\)
\(374\) −76.2818 4.44291i −0.203962 0.0118794i
\(375\) −64.4748 + 167.991i −0.171933 + 0.447975i
\(376\) −159.655 169.224i −0.424613 0.450064i
\(377\) 25.7716 + 14.8792i 0.0683597 + 0.0394675i
\(378\) 48.4952 11.8006i 0.128294 0.0312185i
\(379\) −23.3582 40.4576i −0.0616312 0.106748i 0.833563 0.552424i \(-0.186297\pi\)
−0.895195 + 0.445675i \(0.852964\pi\)
\(380\) 145.423 + 43.5368i 0.382692 + 0.114571i
\(381\) −92.0900 166.113i −0.241706 0.435992i
\(382\) 117.398 + 77.2136i 0.307323 + 0.202130i
\(383\) −67.1021 574.095i −0.175201 1.49894i −0.739379 0.673290i \(-0.764881\pi\)
0.564178 0.825654i \(-0.309193\pi\)
\(384\) 26.8682 + 20.7388i 0.0699694 + 0.0540073i
\(385\) −16.9646 8.51996i −0.0440640 0.0221298i
\(386\) −486.028 + 85.6999i −1.25914 + 0.222020i
\(387\) 87.5954 53.3421i 0.226345 0.137835i
\(388\) −10.6802 + 60.5703i −0.0275262 + 0.156109i
\(389\) 408.941 + 304.446i 1.05126 + 0.782637i 0.976706 0.214580i \(-0.0688383\pi\)
0.0745570 + 0.997217i \(0.476246\pi\)
\(390\) −21.4922 + 10.3296i −0.0551083 + 0.0264862i
\(391\) 67.7614 71.8229i 0.173303 0.183690i
\(392\) −128.141 + 38.3629i −0.326891 + 0.0978646i
\(393\) −340.253 332.389i −0.865785 0.845773i
\(394\) −145.045 16.9533i −0.368133 0.0430286i
\(395\) −310.195 + 369.676i −0.785303 + 0.935888i
\(396\) −36.2304 + 19.2692i −0.0914908 + 0.0486596i
\(397\) −29.4507 + 24.7121i −0.0741832 + 0.0622471i −0.679125 0.734022i \(-0.737641\pi\)
0.604942 + 0.796269i \(0.293196\pi\)
\(398\) 193.674 + 294.468i 0.486619 + 0.739868i
\(399\) −1.90468 46.6801i −0.00477363 0.116993i
\(400\) −37.2269 50.0044i −0.0930673 0.125011i
\(401\) 173.423 + 345.313i 0.432476 + 0.861130i 0.999304 + 0.0372940i \(0.0118738\pi\)
−0.566829 + 0.823836i \(0.691830\pi\)
\(402\) 72.7246 + 211.169i 0.180907 + 0.525296i
\(403\) −44.7406 + 10.6037i −0.111019 + 0.0263119i
\(404\) 159.644i 0.395158i
\(405\) −312.850 + 410.369i −0.772470 + 1.01326i
\(406\) 62.3514 0.153575
\(407\) 13.6020 + 57.3915i 0.0334202 + 0.141011i
\(408\) −38.3611 + 197.409i −0.0940222 + 0.483847i
\(409\) −289.629 + 145.457i −0.708140 + 0.355641i −0.766139 0.642675i \(-0.777824\pi\)
0.0579987 + 0.998317i \(0.481528\pi\)
\(410\) 319.906 238.161i 0.780259 0.580881i
\(411\) −14.5663 23.0091i −0.0354412 0.0559833i
\(412\) −37.4556 + 24.6349i −0.0909116 + 0.0597935i
\(413\) 48.7367 + 58.0821i 0.118006 + 0.140635i
\(414\) 11.0195 51.8713i 0.0266172 0.125293i
\(415\) −196.620 164.984i −0.473783 0.397551i
\(416\) −0.579391 + 4.95700i −0.00139277 + 0.0119159i
\(417\) −3.78136 13.4798i −0.00906801 0.0323257i
\(418\) 11.0167 + 36.7982i 0.0263556 + 0.0880339i
\(419\) −514.046 484.978i −1.22684 1.15746i −0.982197 0.187852i \(-0.939848\pi\)
−0.244644 0.969613i \(-0.578671\pi\)
\(420\) −28.1770 + 41.2593i −0.0670881 + 0.0982364i
\(421\) −18.8004 + 25.2533i −0.0446565 + 0.0599841i −0.823891 0.566749i \(-0.808201\pi\)
0.779234 + 0.626733i \(0.215608\pi\)
\(422\) 113.872 + 20.0788i 0.269840 + 0.0475801i
\(423\) −145.560 725.838i −0.344114 1.71593i
\(424\) 30.9890 + 175.747i 0.0730873 + 0.414498i
\(425\) 165.771 330.078i 0.390050 0.776654i
\(426\) −150.835 367.108i −0.354074 0.861756i
\(427\) −135.593 + 15.8485i −0.317548 + 0.0371160i
\(428\) −76.9825 + 117.046i −0.179866 + 0.273473i
\(429\) −5.17230 3.10744i −0.0120566 0.00724344i
\(430\) −29.4451 + 98.3534i −0.0684769 + 0.228729i
\(431\) 126.377 72.9640i 0.293219 0.169290i −0.346174 0.938170i \(-0.612519\pi\)
0.639393 + 0.768880i \(0.279186\pi\)
\(432\) 37.5449 + 101.264i 0.0869096 + 0.234407i
\(433\) 396.711 687.123i 0.916191 1.58689i 0.111043 0.993816i \(-0.464581\pi\)
0.805148 0.593074i \(-0.202086\pi\)
\(434\) −70.0749 + 66.1122i −0.161463 + 0.152332i
\(435\) −500.964 + 405.719i −1.15164 + 0.932688i
\(436\) −4.82508 + 82.8434i −0.0110667 + 0.190008i
\(437\) −45.5785 19.6606i −0.104299 0.0449900i
\(438\) 30.5317 + 139.603i 0.0697071 + 0.318729i
\(439\) 3.82205 + 65.6221i 0.00870627 + 0.149481i 0.999860 + 0.0167588i \(0.00533474\pi\)
−0.991153 + 0.132722i \(0.957628\pi\)
\(440\) 14.0498 38.6016i 0.0319314 0.0877308i
\(441\) −410.485 112.503i −0.930805 0.255110i
\(442\) −27.7870 + 10.1136i −0.0628666 + 0.0228816i
\(443\) −232.268 + 100.191i −0.524308 + 0.226164i −0.641748 0.766916i \(-0.721790\pi\)
0.117440 + 0.993080i \(0.462531\pi\)
\(444\) 154.470 15.3361i 0.347906 0.0345408i
\(445\) −335.271 79.4606i −0.753417 0.178563i
\(446\) 88.9885 375.472i 0.199526 0.841865i
\(447\) 784.855 + 354.873i 1.75583 + 0.793899i
\(448\) 4.14175 + 9.60167i 0.00924499 + 0.0214323i
\(449\) 249.455 + 685.372i 0.555579 + 1.52644i 0.825984 + 0.563694i \(0.190620\pi\)
−0.270405 + 0.962747i \(0.587157\pi\)
\(450\) −16.1608 197.705i −0.0359128 0.439345i
\(451\) 94.8332 + 34.5165i 0.210273 + 0.0765332i
\(452\) −223.700 + 13.0290i −0.494911 + 0.0288253i
\(453\) −109.786 120.499i −0.242353 0.266002i
\(454\) −68.3117 + 158.364i −0.150466 + 0.348820i
\(455\) −7.33415 0.427166i −0.0161190 0.000938826i
\(456\) 99.8486 15.8202i 0.218966 0.0346934i
\(457\) 375.792 + 398.317i 0.822303 + 0.871590i 0.993522 0.113643i \(-0.0362520\pi\)
−0.171219 + 0.985233i \(0.554770\pi\)
\(458\) 102.299 + 59.0621i 0.223359 + 0.128957i
\(459\) −436.334 + 468.069i −0.950620 + 1.01976i
\(460\) 26.5423 + 45.9726i 0.0577006 + 0.0999403i
\(461\) −114.767 34.3591i −0.248953 0.0745316i 0.159895 0.987134i \(-0.448884\pi\)
−0.408848 + 0.912602i \(0.634069\pi\)
\(462\) −12.6408 0.219939i −0.0273610 0.000476059i
\(463\) −676.225 444.760i −1.46053 0.960606i −0.997228 0.0744050i \(-0.976294\pi\)
−0.463302 0.886201i \(-0.653335\pi\)
\(464\) 15.6634 + 134.009i 0.0337573 + 0.288812i
\(465\) 132.828 987.156i 0.285651 2.12292i
\(466\) 490.819 + 246.499i 1.05326 + 0.528967i
\(467\) −75.3773 + 13.2910i −0.161407 + 0.0284605i −0.253768 0.967265i \(-0.581670\pi\)
0.0923604 + 0.995726i \(0.470559\pi\)
\(468\) −9.92055 + 12.4005i −0.0211978 + 0.0264968i
\(469\) −11.9485 + 67.7635i −0.0254766 + 0.144485i
\(470\) 594.426 + 442.534i 1.26474 + 0.941562i
\(471\) −27.8259 + 367.488i −0.0590784 + 0.780229i
\(472\) −112.590 + 119.338i −0.238538 + 0.252835i
\(473\) −24.8876 + 7.45085i −0.0526164 + 0.0157523i
\(474\) −79.5446 + 311.382i −0.167816 + 0.656923i
\(475\) −184.425 21.5562i −0.388264 0.0453815i
\(476\) −39.8254 + 47.4620i −0.0836667 + 0.0997101i
\(477\) −212.662 + 526.527i −0.445833 + 1.10383i
\(478\) 470.756 395.011i 0.984845 0.826383i
\(479\) 389.774 + 592.623i 0.813724 + 1.23721i 0.968440 + 0.249249i \(0.0801837\pi\)
−0.154715 + 0.987959i \(0.549446\pi\)
\(480\) −95.7548 50.1946i −0.199489 0.104572i
\(481\) 13.6303 + 18.3086i 0.0283373 + 0.0380636i
\(482\) −263.724 525.118i −0.547146 1.08946i
\(483\) 10.7177 12.3307i 0.0221899 0.0255295i
\(484\) −225.362 + 53.4119i −0.465625 + 0.110355i
\(485\) 195.912i 0.403942i
\(486\) −69.3989 + 336.574i −0.142796 + 0.692538i
\(487\) 744.550 1.52885 0.764425 0.644713i \(-0.223023\pi\)
0.764425 + 0.644713i \(0.223023\pi\)
\(488\) −68.1249 287.441i −0.139600 0.589019i
\(489\) −492.130 427.754i −1.00640 0.874753i
\(490\) 380.750 191.220i 0.777040 0.390244i
\(491\) 482.501 359.209i 0.982690 0.731586i 0.0193347 0.999813i \(-0.493845\pi\)
0.963356 + 0.268227i \(0.0864378\pi\)
\(492\) 123.314 235.243i 0.250638 0.478136i
\(493\) −667.898 + 439.284i −1.35476 + 0.891042i
\(494\) 9.55505 + 11.3873i 0.0193422 + 0.0230511i
\(495\) 102.994 80.4860i 0.208068 0.162598i
\(496\) −159.695 134.000i −0.321966 0.270162i
\(497\) 14.1954 121.450i 0.0285622 0.244365i
\(498\) −165.615 42.3075i −0.332560 0.0849548i
\(499\) 202.003 + 674.738i 0.404816 + 1.35218i 0.881117 + 0.472898i \(0.156792\pi\)
−0.476301 + 0.879282i \(0.658023\pi\)
\(500\) −87.2549 82.3208i −0.174510 0.164642i
\(501\) 899.089 + 68.0784i 1.79459 + 0.135885i
\(502\) 275.871 370.560i 0.549544 0.738166i
\(503\) 436.484 + 76.9639i 0.867762 + 0.153010i 0.589768 0.807573i \(-0.299219\pi\)
0.277994 + 0.960583i \(0.410330\pi\)
\(504\) −5.01018 + 32.8942i −0.00994083 + 0.0652663i
\(505\) −88.3029 500.790i −0.174857 0.991664i
\(506\) −6.02856 + 12.0038i −0.0119141 + 0.0237230i
\(507\) 500.157 + 67.2992i 0.986504 + 0.132740i
\(508\) 125.765 14.6998i 0.247569 0.0289366i
\(509\) 164.909 250.732i 0.323986 0.492597i −0.636366 0.771388i \(-0.719563\pi\)
0.960352 + 0.278790i \(0.0899334\pi\)
\(510\) 11.1438 640.477i 0.0218506 1.25584i
\(511\) −12.6270 + 42.1772i −0.0247104 + 0.0825386i
\(512\) −19.5959 + 11.3137i −0.0382733 + 0.0220971i
\(513\) 296.129 + 125.641i 0.577249 + 0.244913i
\(514\) −181.626 + 314.585i −0.353357 + 0.612033i
\(515\) 103.869 97.9956i 0.201688 0.190283i
\(516\) 10.6996 + 67.5302i 0.0207357 + 0.130873i
\(517\) −10.9034 + 187.204i −0.0210897 + 0.362097i
\(518\) 43.9132 + 18.9423i 0.0847745 + 0.0365682i
\(519\) −42.4699 + 38.6942i −0.0818303 + 0.0745553i
\(520\) −0.924336 15.8702i −0.00177757 0.0305197i
\(521\) 34.5691 94.9779i 0.0663515 0.182299i −0.902086 0.431557i \(-0.857964\pi\)
0.968437 + 0.249258i \(0.0801866\pi\)
\(522\) −183.654 + 388.051i −0.351828 + 0.743393i
\(523\) −728.099 + 265.007i −1.39216 + 0.506705i −0.925841 0.377912i \(-0.876642\pi\)
−0.466318 + 0.884617i \(0.654420\pi\)
\(524\) 291.174 125.600i 0.555676 0.239695i
\(525\) 25.1786 55.6862i 0.0479592 0.106069i
\(526\) −427.080 101.220i −0.811940 0.192433i
\(527\) 284.851 1201.88i 0.540514 2.28061i
\(528\) −2.70280 27.2234i −0.00511893 0.0515595i
\(529\) 202.651 + 469.798i 0.383083 + 0.888086i
\(530\) −194.420 534.166i −0.366831 1.00786i
\(531\) −505.033 + 132.239i −0.951097 + 0.249038i
\(532\) 29.2676 + 10.6525i 0.0550143 + 0.0200236i
\(533\) 38.9887 2.27083i 0.0731496 0.00426048i
\(534\) −224.166 + 49.0259i −0.419787 + 0.0918088i
\(535\) 176.747 409.746i 0.330369 0.765881i
\(536\) −148.642 8.65742i −0.277318 0.0161519i
\(537\) 535.649 + 661.396i 0.997484 + 1.23165i
\(538\) 234.206 + 248.244i 0.435328 + 0.461421i
\(539\) 93.3694 + 53.9068i 0.173227 + 0.100013i
\(540\) −173.787 296.890i −0.321828 0.549797i
\(541\) 251.679 + 435.921i 0.465211 + 0.805769i 0.999211 0.0397152i \(-0.0126451\pi\)
−0.534000 + 0.845485i \(0.679312\pi\)
\(542\) −658.564 197.161i −1.21506 0.363766i
\(543\) −410.763 + 683.712i −0.756470 + 1.25914i
\(544\) −112.012 73.6716i −0.205905 0.135426i
\(545\) −30.6868 262.543i −0.0563061 0.481730i
\(546\) −4.52549 + 1.85941i −0.00828844 + 0.00340551i
\(547\) 79.6738 + 40.0137i 0.145656 + 0.0731511i 0.520134 0.854085i \(-0.325882\pi\)
−0.374478 + 0.927236i \(0.622178\pi\)
\(548\) 17.8791 3.15256i 0.0326260 0.00575284i
\(549\) 300.749 890.558i 0.547813 1.62215i
\(550\) −8.72537 + 49.4840i −0.0158643 + 0.0899709i
\(551\) 322.345 + 239.977i 0.585017 + 0.435529i
\(552\) 29.1942 + 19.9375i 0.0528881 + 0.0361186i
\(553\) −67.9474 + 72.0201i −0.122871 + 0.130235i
\(554\) −362.432 + 108.505i −0.654210 + 0.195858i
\(555\) −476.079 + 133.550i −0.857800 + 0.240630i
\(556\) 9.27033 + 1.08355i 0.0166733 + 0.00194882i
\(557\) −159.099 + 189.607i −0.285636 + 0.340408i −0.889715 0.456517i \(-0.849097\pi\)
0.604079 + 0.796925i \(0.293541\pi\)
\(558\) −205.053 630.850i −0.367479 1.13056i
\(559\) −7.70150 + 6.46233i −0.0137773 + 0.0115605i
\(560\) −18.3033 27.8288i −0.0326845 0.0496943i
\(561\) 136.955 86.7018i 0.244127 0.154549i
\(562\) 144.916 + 194.656i 0.257858 + 0.346363i
\(563\) −222.566 443.165i −0.395321 0.787149i 0.604635 0.796503i \(-0.293319\pi\)
−0.999956 + 0.00935329i \(0.997023\pi\)
\(564\) 484.464 + 94.1422i 0.858979 + 0.166919i
\(565\) 694.523 164.605i 1.22924 0.291336i
\(566\) 190.131i 0.335921i
\(567\) −68.9768 + 80.3237i −0.121652 + 0.141664i
\(568\) 264.592 0.465830
\(569\) 7.53569 + 31.7956i 0.0132438 + 0.0558798i 0.979266 0.202581i \(-0.0649329\pi\)
−0.966022 + 0.258461i \(0.916785\pi\)
\(570\) −304.467 + 104.855i −0.534153 + 0.183957i
\(571\) 65.9189 33.1057i 0.115445 0.0579785i −0.390140 0.920756i \(-0.627573\pi\)
0.505584 + 0.862777i \(0.331277\pi\)
\(572\) 3.22666 2.40216i 0.00564101 0.00419958i
\(573\) −297.827 + 12.1522i −0.519768 + 0.0212080i
\(574\) 68.3676 44.9661i 0.119107 0.0783381i
\(575\) −41.7378 49.7412i −0.0725875 0.0865065i
\(576\) −71.9564 2.50473i −0.124924 0.00434849i
\(577\) 440.010 + 369.212i 0.762582 + 0.639883i 0.938798 0.344469i \(-0.111941\pi\)
−0.176215 + 0.984352i \(0.556386\pi\)
\(578\) 44.7712 383.042i 0.0774588 0.662702i
\(579\) 731.584 748.893i 1.26353 1.29343i
\(580\) −123.258 411.712i −0.212515 0.709848i
\(581\) −38.3054 36.1393i −0.0659301 0.0622019i
\(582\) −56.5182 117.594i −0.0971102 0.202052i
\(583\) 85.8960 115.378i 0.147335 0.197905i
\(584\) −93.8214 16.5432i −0.160653 0.0283275i
\(585\) 24.2610 44.3867i 0.0414718 0.0758747i
\(586\) −1.76201 9.99284i −0.00300684 0.0170526i
\(587\) 65.6739 130.768i 0.111881 0.222773i −0.830723 0.556686i \(-0.812073\pi\)
0.942604 + 0.333913i \(0.108369\pi\)
\(588\) 173.377 224.619i 0.294859 0.382006i
\(589\) −616.724 + 72.0847i −1.04707 + 0.122385i
\(590\) 287.177 436.631i 0.486740 0.740053i
\(591\) 270.932 150.200i 0.458430 0.254145i
\(592\) −29.6802 + 99.1389i −0.0501356 + 0.167464i
\(593\) 618.399 357.033i 1.04283 0.602079i 0.122198 0.992506i \(-0.461006\pi\)
0.920634 + 0.390427i \(0.127673\pi\)
\(594\) 38.6018 78.0234i 0.0649861 0.131352i
\(595\) 98.6768 170.913i 0.165843 0.287249i
\(596\) −417.685 + 394.065i −0.700813 + 0.661183i
\(597\) −698.015 267.898i −1.16920 0.448740i
\(598\) −0.302254 + 5.18950i −0.000505441 + 0.00867810i
\(599\) 357.754 + 154.320i 0.597253 + 0.257630i 0.673174 0.739484i \(-0.264931\pi\)
−0.0759213 + 0.997114i \(0.524190\pi\)
\(600\) 126.009 + 40.1260i 0.210014 + 0.0668766i
\(601\) −58.8342 1010.14i −0.0978938 1.68077i −0.587808 0.809001i \(-0.700009\pi\)
0.489914 0.871771i \(-0.337028\pi\)
\(602\) −7.20459 + 19.7944i −0.0119678 + 0.0328811i
\(603\) −386.539 273.958i −0.641027 0.454325i
\(604\) 102.121 37.1689i 0.169074 0.0615379i
\(605\) 677.402 292.203i 1.11967 0.482979i
\(606\) −197.475 275.120i −0.325866 0.453994i
\(607\) 380.415 + 90.1600i 0.626713 + 0.148534i 0.531687 0.846941i \(-0.321558\pi\)
0.0950264 + 0.995475i \(0.469706\pi\)
\(608\) −15.5426 + 65.5794i −0.0255635 + 0.107861i
\(609\) −107.453 + 77.1270i −0.176441 + 0.126645i
\(610\) 372.694 + 864.001i 0.610973 + 1.41640i
\(611\) 24.8200 + 68.1924i 0.0406219 + 0.111608i
\(612\) −178.081 387.655i −0.290982 0.633424i
\(613\) −187.508 68.2473i −0.305886 0.111333i 0.184517 0.982829i \(-0.440928\pi\)
−0.490402 + 0.871496i \(0.663150\pi\)
\(614\) −490.881 + 28.5905i −0.799480 + 0.0465644i
\(615\) −256.708 + 806.148i −0.417412 + 1.31081i
\(616\) 3.33834 7.73914i 0.00541938 0.0125635i
\(617\) 639.138 + 37.2256i 1.03588 + 0.0603332i 0.567647 0.823272i \(-0.307854\pi\)
0.468233 + 0.883605i \(0.344891\pi\)
\(618\) 34.0760 88.7859i 0.0551392 0.143666i
\(619\) 678.237 + 718.889i 1.09570 + 1.16137i 0.985886 + 0.167420i \(0.0535436\pi\)
0.109813 + 0.993952i \(0.464975\pi\)
\(620\) 575.071 + 332.017i 0.927534 + 0.535512i
\(621\) 45.1729 + 103.023i 0.0727423 + 0.165898i
\(622\) −134.931 233.707i −0.216930 0.375734i
\(623\) −67.7255 20.2757i −0.108709 0.0325452i
\(624\) −5.13319 9.25929i −0.00822626 0.0148386i
\(625\) 644.773 + 424.074i 1.03164 + 0.678518i
\(626\) 74.6891 + 639.006i 0.119312 + 1.02078i
\(627\) −64.5038 49.7885i −0.102877 0.0794075i
\(628\) −219.559 110.267i −0.349617 0.175584i
\(629\) −603.845 + 106.474i −0.960008 + 0.169275i
\(630\) −2.47804 105.958i −0.00393339 0.168187i
\(631\) 32.7357 185.654i 0.0518791 0.294221i −0.947818 0.318810i \(-0.896717\pi\)
0.999698 + 0.0245892i \(0.00782777\pi\)
\(632\) −171.858 127.944i −0.271928 0.202443i
\(633\) −221.078 + 106.254i −0.349254 + 0.167858i
\(634\) −544.907 + 577.568i −0.859475 + 0.910990i
\(635\) −386.385 + 115.676i −0.608480 + 0.182167i
\(636\) −270.799 264.540i −0.425785 0.415943i
\(637\) 41.4407 + 4.84372i 0.0650560 + 0.00760396i
\(638\) 69.9026 83.3067i 0.109565 0.130575i
\(639\) 714.043 + 446.073i 1.11744 + 0.698079i
\(640\) 55.2131 46.3293i 0.0862704 0.0723895i
\(641\) 121.591 + 184.869i 0.189689 + 0.288408i 0.917793 0.397058i \(-0.129969\pi\)
−0.728105 + 0.685466i \(0.759598\pi\)
\(642\) −12.1158 296.936i −0.0188720 0.462517i
\(643\) 428.460 + 575.522i 0.666345 + 0.895057i 0.998845 0.0480463i \(-0.0152995\pi\)
−0.332500 + 0.943103i \(0.607892\pi\)
\(644\) 4.88820 + 9.73321i 0.00759037 + 0.0151137i
\(645\) −70.9165 205.919i −0.109948 0.319254i
\(646\) −388.560 + 92.0904i −0.601486 + 0.142555i
\(647\) 969.712i 1.49878i −0.662128 0.749391i \(-0.730346\pi\)
0.662128 0.749391i \(-0.269654\pi\)
\(648\) −189.963 128.070i −0.293153 0.197639i
\(649\) 132.242 0.203762
\(650\) 4.48438 + 18.9211i 0.00689904 + 0.0291094i
\(651\) 38.9839 200.614i 0.0598831 0.308164i
\(652\) 388.461 195.092i 0.595799 0.299221i
\(653\) −715.573 + 532.724i −1.09582 + 0.815810i −0.984044 0.177923i \(-0.943062\pi\)
−0.111779 + 0.993733i \(0.535655\pi\)
\(654\) −94.1597 148.736i −0.143975 0.227425i
\(655\) −843.919 + 555.054i −1.28843 + 0.847411i
\(656\) 113.818 + 135.643i 0.173503 + 0.206773i
\(657\) −225.302 202.817i −0.342925 0.308702i
\(658\) 116.477 + 97.7357i 0.177017 + 0.148535i
\(659\) −55.1692 + 472.002i −0.0837165 + 0.716240i 0.884572 + 0.466404i \(0.154451\pi\)
−0.968288 + 0.249836i \(0.919623\pi\)
\(660\) 23.5364 + 83.9028i 0.0356612 + 0.127126i
\(661\) 15.1491 + 50.6017i 0.0229185 + 0.0765532i 0.968684 0.248298i \(-0.0798711\pi\)
−0.945765 + 0.324851i \(0.894686\pi\)
\(662\) 325.640 + 307.226i 0.491903 + 0.464087i
\(663\) 35.3762 51.8010i 0.0533578 0.0781313i
\(664\) 68.0496 91.4064i 0.102484 0.137660i
\(665\) −97.7025 17.2276i −0.146921 0.0259061i
\(666\) −247.234 + 217.505i −0.371223 + 0.326584i
\(667\) 24.4031 + 138.397i 0.0365864 + 0.207492i
\(668\) −269.777 + 537.170i −0.403858 + 0.804147i
\(669\) 311.091 + 757.142i 0.465008 + 1.13175i
\(670\) 471.068 55.0600i 0.703087 0.0821791i
\(671\) −130.839 + 198.931i −0.194991 + 0.296470i
\(672\) −19.0146 11.4237i −0.0282956 0.0169996i
\(673\) −93.3322 + 311.751i −0.138681 + 0.463226i −0.998910 0.0466818i \(-0.985135\pi\)
0.860229 + 0.509908i \(0.170321\pi\)
\(674\) −400.351 + 231.143i −0.593993 + 0.342942i
\(675\) 272.407 + 320.723i 0.403565 + 0.475146i
\(676\) −168.222 + 291.368i −0.248849 + 0.431018i
\(677\) 187.850 177.228i 0.277475 0.261784i −0.534906 0.844912i \(-0.679653\pi\)
0.812380 + 0.583128i \(0.198171\pi\)
\(678\) 369.394 299.164i 0.544829 0.441244i
\(679\) 2.33723 40.1287i 0.00344216 0.0590996i
\(680\) 392.124 + 169.146i 0.576653 + 0.248744i
\(681\) −78.1679 357.415i −0.114784 0.524839i
\(682\) 9.77001 + 167.745i 0.0143255 + 0.245960i
\(683\) 53.9603 148.255i 0.0790049 0.217064i −0.893902 0.448263i \(-0.852043\pi\)
0.972906 + 0.231199i \(0.0742649\pi\)
\(684\) −152.504 + 150.773i −0.222959 + 0.220429i
\(685\) −54.3415 + 19.7787i −0.0793307 + 0.0288740i
\(686\) 163.440 70.5013i 0.238251 0.102772i
\(687\) −249.353 + 24.7563i −0.362960 + 0.0360354i
\(688\) −44.3531 10.5119i −0.0644667 0.0152789i
\(689\) 12.8373 54.1647i 0.0186317 0.0786134i
\(690\) −102.608 46.3943i −0.148707 0.0672381i
\(691\) −97.0340 224.950i −0.140425 0.325543i 0.833461 0.552578i \(-0.186356\pi\)
−0.973886 + 0.227035i \(0.927097\pi\)
\(692\) −13.1002 35.9926i −0.0189310 0.0520124i
\(693\) 22.0564 15.2572i 0.0318274 0.0220162i
\(694\) 302.644 + 110.154i 0.436087 + 0.158723i
\(695\) −29.6797 + 1.72864i −0.0427046 + 0.00248726i
\(696\) −192.758 211.568i −0.276952 0.303976i
\(697\) −415.544 + 963.338i −0.596189 + 1.38212i
\(698\) −164.778 9.59722i −0.236071 0.0137496i
\(699\) −1150.76 + 182.328i −1.64630 + 0.260842i
\(700\) 27.9593 + 29.6351i 0.0399418 + 0.0423359i
\(701\) −378.546 218.554i −0.540009 0.311774i 0.205073 0.978747i \(-0.434257\pi\)
−0.745083 + 0.666972i \(0.767590\pi\)
\(702\) 1.75744 33.6417i 0.00250347 0.0479226i
\(703\) 154.118 + 266.940i 0.219229 + 0.379715i
\(704\) 17.4720 + 5.23076i 0.0248181 + 0.00743006i
\(705\) −1571.80 27.3481i −2.22950 0.0387916i
\(706\) 496.099 + 326.289i 0.702689 + 0.462166i
\(707\) −12.1127 103.630i −0.0171325 0.146578i
\(708\) 46.4125 344.930i 0.0655544 0.487190i
\(709\) −967.888 486.092i −1.36515 0.685602i −0.392903 0.919580i \(-0.628529\pi\)
−0.972242 + 0.233978i \(0.924826\pi\)
\(710\) −830.004 + 146.352i −1.16902 + 0.206130i
\(711\) −248.088 635.011i −0.348928 0.893124i
\(712\) 26.5641 150.652i 0.0373091 0.211591i
\(713\) −174.170 129.665i −0.244278 0.181858i
\(714\) 9.92347 131.056i 0.0138984 0.183552i
\(715\) −8.79310 + 9.32014i −0.0122980 + 0.0130352i
\(716\) −543.561 + 162.731i −0.759163 + 0.227279i
\(717\) −322.655 + 1263.05i −0.450007 + 1.76158i
\(718\) −193.878 22.6611i −0.270026 0.0315615i
\(719\) −146.854 + 175.013i −0.204247 + 0.243412i −0.858438 0.512917i \(-0.828565\pi\)
0.654191 + 0.756329i \(0.273009\pi\)
\(720\) 227.107 31.9437i 0.315427 0.0443663i
\(721\) 22.4446 18.8333i 0.0311298 0.0261210i
\(722\) −170.233 258.827i −0.235780 0.358486i
\(723\) 1104.04 + 578.738i 1.52703 + 0.800467i
\(724\) −317.535 426.523i −0.438584 0.589120i
\(725\) 235.928 + 469.771i 0.325418 + 0.647960i
\(726\) 322.307 370.814i 0.443949 0.510763i
\(727\) −73.2191 + 17.3532i −0.100714 + 0.0238697i −0.280664 0.959806i \(-0.590555\pi\)
0.179950 + 0.983676i \(0.442406\pi\)
\(728\) 3.26173i 0.00448039i
\(729\) −296.734 665.875i −0.407043 0.913409i
\(730\) 303.461 0.415700
\(731\) −62.2831 262.793i −0.0852026 0.359498i
\(732\) 472.959 + 411.091i 0.646119 + 0.561600i
\(733\) −1067.44 + 536.088i −1.45626 + 0.731362i −0.988319 0.152397i \(-0.951301\pi\)
−0.467942 + 0.883759i \(0.655005\pi\)
\(734\) 497.695 370.521i 0.678059 0.504796i
\(735\) −419.628 + 800.513i −0.570922 + 1.08913i
\(736\) −19.6911 + 12.9510i −0.0267542 + 0.0175965i
\(737\) 77.1421 + 91.9343i 0.104670 + 0.124741i
\(738\) 78.4768 + 557.939i 0.106337 + 0.756015i
\(739\) −782.010 656.184i −1.05820 0.887935i −0.0642684 0.997933i \(-0.520471\pi\)
−0.993932 + 0.109997i \(0.964916\pi\)
\(740\) 38.2686 327.408i 0.0517143 0.442444i
\(741\) −30.5523 7.80480i −0.0412312 0.0105328i
\(742\) −33.4505 111.733i −0.0450816 0.150583i
\(743\) 66.3855 + 62.6315i 0.0893479 + 0.0842954i 0.729620 0.683853i \(-0.239697\pi\)
−0.640272 + 0.768148i \(0.721178\pi\)
\(744\) 440.964 + 33.3895i 0.592693 + 0.0448783i
\(745\) 1092.28 1467.18i 1.46615 1.96938i
\(746\) 391.056 + 68.9537i 0.524204 + 0.0924313i
\(747\) 337.744 131.951i 0.452134 0.176641i
\(748\) 18.7647 + 106.420i 0.0250865 + 0.142273i
\(749\) 41.0914 81.8197i 0.0548617 0.109239i
\(750\) 252.198 + 33.9348i 0.336265 + 0.0452464i
\(751\) 854.582 99.8863i 1.13793 0.133004i 0.473805 0.880630i \(-0.342880\pi\)
0.664120 + 0.747626i \(0.268806\pi\)
\(752\) −180.798 + 274.890i −0.240423 + 0.365545i
\(753\) −17.0485 + 979.845i −0.0226408 + 1.30126i
\(754\) 12.0701 40.3168i 0.0160080 0.0534706i
\(755\) −299.786 + 173.082i −0.397068 + 0.229247i
\(756\) −32.0549 62.8853i −0.0424007 0.0831816i
\(757\) 233.360 404.191i 0.308269 0.533938i −0.669715 0.742618i \(-0.733584\pi\)
0.977984 + 0.208681i \(0.0669170\pi\)
\(758\) −48.0554 + 45.3380i −0.0633977 + 0.0598126i
\(759\) −4.45916 28.1439i −0.00587505 0.0370802i
\(760\) 12.4824 214.315i 0.0164242 0.281993i
\(761\) 172.210 + 74.2843i 0.226295 + 0.0976141i 0.506209 0.862411i \(-0.331047\pi\)
−0.279914 + 0.960025i \(0.590306\pi\)
\(762\) −198.553 + 180.900i −0.260568 + 0.237402i
\(763\) −3.15345 54.1427i −0.00413297 0.0709603i
\(764\) 67.9650 186.732i 0.0889595 0.244414i
\(765\) 773.048 + 1117.54i 1.01052 + 1.46084i
\(766\) −768.124 + 279.574i −1.00277 + 0.364979i
\(767\) 46.9907 20.2698i 0.0612656 0.0264274i
\(768\) 19.7757 43.7370i 0.0257496 0.0569492i
\(769\) −592.706 140.474i −0.770749 0.182671i −0.173616 0.984813i \(-0.555545\pi\)
−0.597133 + 0.802142i \(0.703693\pi\)
\(770\) −6.19142 + 26.1236i −0.00804080 + 0.0339268i
\(771\) −76.1298