Properties

Label 177.2.f.a.32.2
Level $177$
Weight $2$
Character 177.32
Analytic conductor $1.413$
Analytic rank $0$
Dimension $504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(504\)
Relative dimension: \(18\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 32.2
Character \(\chi\) \(=\) 177.32
Dual form 177.2.f.a.83.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.660709 + 2.37966i) q^{2} +(-1.11645 + 1.32421i) q^{3} +(-3.51252 - 2.11341i) q^{4} +(-0.952806 - 0.0516596i) q^{5} +(-2.41352 - 3.53169i) q^{6} +(-0.387617 + 2.36436i) q^{7} +(3.76401 - 3.56546i) q^{8} +(-0.507069 - 2.95684i) q^{9} +O(q^{10})\) \(q+(-0.660709 + 2.37966i) q^{2} +(-1.11645 + 1.32421i) q^{3} +(-3.51252 - 2.11341i) q^{4} +(-0.952806 - 0.0516596i) q^{5} +(-2.41352 - 3.53169i) q^{6} +(-0.387617 + 2.36436i) q^{7} +(3.76401 - 3.56546i) q^{8} +(-0.507069 - 2.95684i) q^{9} +(0.752460 - 2.23322i) q^{10} +(1.09001 - 2.05597i) q^{11} +(6.72017 - 2.29179i) q^{12} +(-4.15091 + 1.65387i) q^{13} +(-5.37027 - 2.48455i) q^{14} +(1.13217 - 1.20404i) q^{15} +(2.15736 + 4.06921i) q^{16} +(1.79831 - 0.294817i) q^{17} +(7.37128 + 0.746957i) q^{18} +(3.93302 + 4.63031i) q^{19} +(3.23757 + 2.19513i) q^{20} +(-2.69815 - 3.15298i) q^{21} +(4.17234 + 3.95225i) q^{22} +(-4.81067 + 3.65697i) q^{23} +(0.519083 + 8.96501i) q^{24} +(-4.06552 - 0.442152i) q^{25} +(-1.19311 - 10.9705i) q^{26} +(4.48159 + 2.62970i) q^{27} +(6.35839 - 7.48567i) q^{28} +(-2.94190 + 0.816813i) q^{29} +(2.11717 + 3.48970i) q^{30} +(-7.25288 - 6.16066i) q^{31} +(-0.981901 + 0.216133i) q^{32} +(1.50560 + 3.73880i) q^{33} +(-0.486592 + 4.47414i) q^{34} +(0.491466 - 2.23275i) q^{35} +(-4.46793 + 11.4576i) q^{36} +(-5.20883 + 5.49890i) q^{37} +(-13.6171 + 6.29995i) q^{38} +(2.44422 - 7.34315i) q^{39} +(-3.77056 + 3.20274i) q^{40} +(-3.48062 + 4.57867i) q^{41} +(9.28571 - 4.33748i) q^{42} +(7.16569 - 3.79901i) q^{43} +(-8.17381 + 4.91802i) q^{44} +(0.330389 + 2.84349i) q^{45} +(-5.52390 - 13.8639i) q^{46} +(0.235486 + 4.34329i) q^{47} +(-7.79708 - 1.68628i) q^{48} +(1.19362 + 0.402178i) q^{49} +(3.73829 - 9.38241i) q^{50} +(-1.61732 + 2.71049i) q^{51} +(18.0755 + 2.96333i) q^{52} +(-0.628327 - 1.86481i) q^{53} +(-9.21882 + 8.92719i) q^{54} +(-1.14478 + 1.90264i) q^{55} +(6.97103 + 10.2815i) q^{56} +(-10.5225 + 0.0386289i) q^{57} -7.54038i q^{58} +(1.00544 + 7.61506i) q^{59} +(-6.52141 + 1.83647i) q^{60} +(5.01281 + 1.39180i) q^{61} +(19.4523 - 13.1890i) q^{62} +(7.18757 - 0.0527728i) q^{63} +(-0.364269 + 6.71854i) q^{64} +(4.04045 - 1.36139i) q^{65} +(-9.89183 + 1.11256i) q^{66} +(5.10185 + 5.38596i) q^{67} +(-6.93966 - 2.76501i) q^{68} +(0.528275 - 10.4532i) q^{69} +(4.98847 + 2.64472i) q^{70} +(12.6256 - 0.684540i) q^{71} +(-12.4511 - 9.32163i) q^{72} +(-4.73922 + 10.2437i) q^{73} +(-9.64398 - 16.0284i) q^{74} +(5.12446 - 4.88996i) q^{75} +(-4.02906 - 24.5761i) q^{76} +(4.43856 + 3.37410i) q^{77} +(15.8593 + 10.6681i) q^{78} +(-3.58394 + 5.28592i) q^{79} +(-1.84533 - 3.98861i) q^{80} +(-8.48576 + 2.99864i) q^{81} +(-8.59600 - 11.3078i) q^{82} +(13.7216 + 3.02036i) q^{83} +(2.81377 + 16.7772i) q^{84} +(-1.72867 + 0.188004i) q^{85} +(4.30590 + 19.5619i) q^{86} +(2.20285 - 4.80762i) q^{87} +(-3.22769 - 11.6251i) q^{88} +(-0.970051 - 3.49381i) q^{89} +(-6.98482 - 1.09250i) q^{90} +(-2.30139 - 10.4553i) q^{91} +(24.6263 - 2.67827i) q^{92} +(16.2555 - 2.72627i) q^{93} +(-10.4911 - 2.30927i) q^{94} +(-3.50820 - 4.61496i) q^{95} +(0.810040 - 1.54155i) q^{96} +(-0.0787672 - 0.170253i) q^{97} +(-1.74568 + 2.57469i) q^{98} +(-6.63189 - 2.18046i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} + O(q^{10}) \) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} - 58q^{10} - 15q^{12} - 58q^{13} - 38q^{15} - 66q^{16} - 29q^{18} - 66q^{19} - 24q^{21} - 62q^{22} - 29q^{24} - 20q^{25} - 54q^{27} - 26q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 13q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} - q^{45} - 46q^{46} + 147q^{48} - 48q^{49} + 59q^{51} - 58q^{52} + 174q^{54} - 58q^{55} + 83q^{57} + 250q^{60} - 58q^{61} + 82q^{63} + 10q^{64} + 226q^{66} - 58q^{67} + 87q^{69} - 58q^{70} + 145q^{72} - 58q^{73} - 28q^{75} - 150q^{76} - 13q^{78} - 30q^{79} + 13q^{81} - 58q^{82} - 69q^{84} - 86q^{85} - 36q^{87} + 22q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 162q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{5}{58}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.660709 + 2.37966i −0.467192 + 1.68267i 0.236066 + 0.971737i \(0.424142\pi\)
−0.703257 + 0.710935i \(0.748272\pi\)
\(3\) −1.11645 + 1.32421i −0.644584 + 0.764534i
\(4\) −3.51252 2.11341i −1.75626 1.05671i
\(5\) −0.952806 0.0516596i −0.426108 0.0231029i −0.160162 0.987091i \(-0.551202\pi\)
−0.265946 + 0.963988i \(0.585684\pi\)
\(6\) −2.41352 3.53169i −0.985315 1.44181i
\(7\) −0.387617 + 2.36436i −0.146505 + 0.893644i 0.806620 + 0.591070i \(0.201294\pi\)
−0.953126 + 0.302574i \(0.902154\pi\)
\(8\) 3.76401 3.56546i 1.33078 1.26058i
\(9\) −0.507069 2.95684i −0.169023 0.985612i
\(10\) 0.752460 2.23322i 0.237949 0.706206i
\(11\) 1.09001 2.05597i 0.328650 0.619900i −0.663035 0.748588i \(-0.730732\pi\)
0.991685 + 0.128689i \(0.0410768\pi\)
\(12\) 6.72017 2.29179i 1.93995 0.661584i
\(13\) −4.15091 + 1.65387i −1.15126 + 0.458702i −0.866145 0.499792i \(-0.833410\pi\)
−0.285110 + 0.958495i \(0.592030\pi\)
\(14\) −5.37027 2.48455i −1.43526 0.664024i
\(15\) 1.13217 1.20404i 0.292325 0.310882i
\(16\) 2.15736 + 4.06921i 0.539339 + 1.01730i
\(17\) 1.79831 0.294817i 0.436153 0.0715037i 0.0602944 0.998181i \(-0.480796\pi\)
0.375859 + 0.926677i \(0.377348\pi\)
\(18\) 7.37128 + 0.746957i 1.73743 + 0.176060i
\(19\) 3.93302 + 4.63031i 0.902296 + 1.06226i 0.997764 + 0.0668324i \(0.0212893\pi\)
−0.0954683 + 0.995432i \(0.530435\pi\)
\(20\) 3.23757 + 2.19513i 0.723944 + 0.490846i
\(21\) −2.69815 3.15298i −0.588786 0.688037i
\(22\) 4.17234 + 3.95225i 0.889546 + 0.842622i
\(23\) −4.81067 + 3.65697i −1.00309 + 0.762532i −0.971517 0.236969i \(-0.923846\pi\)
−0.0315765 + 0.999501i \(0.510053\pi\)
\(24\) 0.519083 + 8.96501i 0.105957 + 1.82997i
\(25\) −4.06552 0.442152i −0.813104 0.0884304i
\(26\) −1.19311 10.9705i −0.233988 2.15149i
\(27\) 4.48159 + 2.62970i 0.862483 + 0.506086i
\(28\) 6.35839 7.48567i 1.20162 1.41466i
\(29\) −2.94190 + 0.816813i −0.546296 + 0.151678i −0.529702 0.848184i \(-0.677696\pi\)
−0.0165944 + 0.999862i \(0.505282\pi\)
\(30\) 2.11717 + 3.48970i 0.386541 + 0.637129i
\(31\) −7.25288 6.16066i −1.30266 1.10649i −0.987529 0.157437i \(-0.949677\pi\)
−0.315127 0.949049i \(-0.602047\pi\)
\(32\) −0.981901 + 0.216133i −0.173577 + 0.0382072i
\(33\) 1.50560 + 3.73880i 0.262092 + 0.650841i
\(34\) −0.486592 + 4.47414i −0.0834499 + 0.767309i
\(35\) 0.491466 2.23275i 0.0830729 0.377404i
\(36\) −4.46793 + 11.4576i −0.744655 + 1.90960i
\(37\) −5.20883 + 5.49890i −0.856327 + 0.904013i −0.996283 0.0861445i \(-0.972545\pi\)
0.139956 + 0.990158i \(0.455304\pi\)
\(38\) −13.6171 + 6.29995i −2.20899 + 1.02199i
\(39\) 2.44422 7.34315i 0.391388 1.17585i
\(40\) −3.77056 + 3.20274i −0.596178 + 0.506398i
\(41\) −3.48062 + 4.57867i −0.543581 + 0.715068i −0.983080 0.183174i \(-0.941363\pi\)
0.439500 + 0.898243i \(0.355156\pi\)
\(42\) 9.28571 4.33748i 1.43282 0.669288i
\(43\) 7.16569 3.79901i 1.09276 0.579343i 0.178279 0.983980i \(-0.442947\pi\)
0.914477 + 0.404637i \(0.132602\pi\)
\(44\) −8.17381 + 4.91802i −1.23225 + 0.741419i
\(45\) 0.330389 + 2.84349i 0.0492515 + 0.423882i
\(46\) −5.52390 13.8639i −0.814454 2.04413i
\(47\) 0.235486 + 4.34329i 0.0343492 + 0.633534i 0.964132 + 0.265425i \(0.0855121\pi\)
−0.929782 + 0.368110i \(0.880005\pi\)
\(48\) −7.79708 1.68628i −1.12541 0.243394i
\(49\) 1.19362 + 0.402178i 0.170518 + 0.0574540i
\(50\) 3.73829 9.38241i 0.528675 1.32687i
\(51\) −1.61732 + 2.71049i −0.226470 + 0.379544i
\(52\) 18.0755 + 2.96333i 2.50662 + 0.410939i
\(53\) −0.628327 1.86481i −0.0863074 0.256151i 0.895805 0.444448i \(-0.146600\pi\)
−0.982112 + 0.188296i \(0.939703\pi\)
\(54\) −9.21882 + 8.92719i −1.25452 + 1.21484i
\(55\) −1.14478 + 1.90264i −0.154362 + 0.256551i
\(56\) 6.97103 + 10.2815i 0.931544 + 1.37392i
\(57\) −10.5225 + 0.0386289i −1.39374 + 0.00511652i
\(58\) 7.54038i 0.990101i
\(59\) 1.00544 + 7.61506i 0.130897 + 0.991396i
\(60\) −6.52141 + 1.83647i −0.841911 + 0.237088i
\(61\) 5.01281 + 1.39180i 0.641824 + 0.178202i 0.573167 0.819439i \(-0.305715\pi\)
0.0686573 + 0.997640i \(0.478129\pi\)
\(62\) 19.4523 13.1890i 2.47044 1.67500i
\(63\) 7.18757 0.0527728i 0.905549 0.00664875i
\(64\) −0.364269 + 6.71854i −0.0455336 + 0.839817i
\(65\) 4.04045 1.36139i 0.501156 0.168859i
\(66\) −9.89183 + 1.11256i −1.21760 + 0.136947i
\(67\) 5.10185 + 5.38596i 0.623290 + 0.658000i 0.958815 0.284032i \(-0.0916721\pi\)
−0.335524 + 0.942031i \(0.608914\pi\)
\(68\) −6.93966 2.76501i −0.841557 0.335307i
\(69\) 0.528275 10.4532i 0.0635969 1.25841i
\(70\) 4.98847 + 2.64472i 0.596236 + 0.316104i
\(71\) 12.6256 0.684540i 1.49838 0.0812400i 0.713400 0.700757i \(-0.247154\pi\)
0.784983 + 0.619517i \(0.212672\pi\)
\(72\) −12.4511 9.32163i −1.46738 1.09856i
\(73\) −4.73922 + 10.2437i −0.554684 + 1.19893i 0.404079 + 0.914724i \(0.367592\pi\)
−0.958763 + 0.284206i \(0.908270\pi\)
\(74\) −9.64398 16.0284i −1.12109 1.86327i
\(75\) 5.12446 4.88996i 0.591722 0.564644i
\(76\) −4.02906 24.5761i −0.462164 2.81908i
\(77\) 4.43856 + 3.37410i 0.505821 + 0.384515i
\(78\) 15.8593 + 10.6681i 1.79571 + 1.20792i
\(79\) −3.58394 + 5.28592i −0.403225 + 0.594713i −0.974043 0.226364i \(-0.927316\pi\)
0.570817 + 0.821077i \(0.306626\pi\)
\(80\) −1.84533 3.98861i −0.206314 0.445941i
\(81\) −8.48576 + 2.99864i −0.942862 + 0.333182i
\(82\) −8.59600 11.3078i −0.949269 1.24874i
\(83\) 13.7216 + 3.02036i 1.50614 + 0.331527i 0.889947 0.456064i \(-0.150741\pi\)
0.616198 + 0.787592i \(0.288672\pi\)
\(84\) 2.81377 + 16.7772i 0.307008 + 1.83055i
\(85\) −1.72867 + 0.188004i −0.187500 + 0.0203919i
\(86\) 4.30590 + 19.5619i 0.464318 + 2.10942i
\(87\) 2.20285 4.80762i 0.236171 0.515431i
\(88\) −3.22769 11.6251i −0.344073 1.23924i
\(89\) −0.970051 3.49381i −0.102825 0.370343i 0.894177 0.447713i \(-0.147761\pi\)
−0.997002 + 0.0773702i \(0.975348\pi\)
\(90\) −6.98482 1.09250i −0.736264 0.115160i
\(91\) −2.30139 10.4553i −0.241251 1.09602i
\(92\) 24.6263 2.67827i 2.56747 0.279229i
\(93\) 16.2555 2.72627i 1.68562 0.282701i
\(94\) −10.4911 2.30927i −1.08208 0.238183i
\(95\) −3.50820 4.61496i −0.359934 0.473485i
\(96\) 0.810040 1.54155i 0.0826744 0.157333i
\(97\) −0.0787672 0.170253i −0.00799760 0.0172865i 0.903535 0.428513i \(-0.140962\pi\)
−0.911533 + 0.411227i \(0.865100\pi\)
\(98\) −1.74568 + 2.57469i −0.176341 + 0.260083i
\(99\) −6.63189 2.18046i −0.666530 0.219144i
\(100\) 13.3458 + 10.1452i 1.33458 + 1.01452i
\(101\) 0.219029 + 1.33602i 0.0217942 + 0.132939i 0.995483 0.0949451i \(-0.0302676\pi\)
−0.973688 + 0.227884i \(0.926819\pi\)
\(102\) −5.38145 5.63952i −0.532843 0.558395i
\(103\) −5.59170 9.29349i −0.550967 0.915714i −0.999756 0.0220767i \(-0.992972\pi\)
0.448789 0.893638i \(-0.351855\pi\)
\(104\) −9.72725 + 21.0251i −0.953835 + 2.06168i
\(105\) 2.40794 + 3.14357i 0.234991 + 0.306781i
\(106\) 4.85275 0.263108i 0.471340 0.0255553i
\(107\) −14.7391 7.81417i −1.42488 0.755424i −0.435420 0.900227i \(-0.643400\pi\)
−0.989460 + 0.144803i \(0.953745\pi\)
\(108\) −10.1840 18.7083i −0.979961 1.80021i
\(109\) 0.697432 + 0.277882i 0.0668019 + 0.0266163i 0.403300 0.915068i \(-0.367863\pi\)
−0.336498 + 0.941684i \(0.609242\pi\)
\(110\) −3.77126 3.98127i −0.359575 0.379599i
\(111\) −1.46629 13.0369i −0.139174 1.23740i
\(112\) −10.4573 + 3.52347i −0.988122 + 0.332937i
\(113\) 0.781931 14.4219i 0.0735579 1.35670i −0.695964 0.718076i \(-0.745023\pi\)
0.769522 0.638620i \(-0.220494\pi\)
\(114\) 6.86040 25.0655i 0.642536 2.34760i
\(115\) 4.77255 3.23587i 0.445043 0.301746i
\(116\) 12.0597 + 3.34837i 1.11972 + 0.310888i
\(117\) 6.99503 + 11.4349i 0.646691 + 1.05716i
\(118\) −18.7855 2.63874i −1.72935 0.242916i
\(119\) 4.36612i 0.400241i
\(120\) −0.0314564 8.56873i −0.00287156 0.782214i
\(121\) 3.13414 + 4.62252i 0.284922 + 0.420229i
\(122\) −6.62401 + 11.0092i −0.599710 + 0.996725i
\(123\) −2.17719 9.72094i −0.196310 0.876507i
\(124\) 12.4559 + 36.9678i 1.11857 + 3.31981i
\(125\) 8.55899 + 1.40317i 0.765539 + 0.125504i
\(126\) −4.62331 + 17.1388i −0.411877 + 1.52685i
\(127\) 0.266397 0.668605i 0.0236389 0.0593291i −0.916684 0.399614i \(-0.869144\pi\)
0.940322 + 0.340285i \(0.110523\pi\)
\(128\) −17.6527 5.94789i −1.56029 0.525724i
\(129\) −2.96946 + 13.7303i −0.261446 + 1.20888i
\(130\) 0.570073 + 10.5144i 0.0499987 + 0.922172i
\(131\) 4.77700 + 11.9894i 0.417368 + 1.04752i 0.975936 + 0.218057i \(0.0699718\pi\)
−0.558568 + 0.829459i \(0.688649\pi\)
\(132\) 2.61317 16.3146i 0.227448 1.42000i
\(133\) −12.4722 + 7.50428i −1.08148 + 0.650704i
\(134\) −16.1876 + 8.58211i −1.39839 + 0.741382i
\(135\) −4.13424 2.73711i −0.355819 0.235573i
\(136\) 5.71768 7.52148i 0.490287 0.644962i
\(137\) −10.8246 + 9.19447i −0.924806 + 0.785537i −0.977031 0.213098i \(-0.931645\pi\)
0.0522252 + 0.998635i \(0.483369\pi\)
\(138\) 24.5260 + 8.16362i 2.08779 + 0.694934i
\(139\) 16.8171 7.78043i 1.42641 0.659927i 0.453530 0.891241i \(-0.350164\pi\)
0.972879 + 0.231314i \(0.0743024\pi\)
\(140\) −6.44502 + 6.80392i −0.544703 + 0.575036i
\(141\) −6.01434 4.53724i −0.506499 0.382105i
\(142\) −6.71288 + 30.4969i −0.563332 + 2.55924i
\(143\) −1.12421 + 10.3369i −0.0940109 + 0.864416i
\(144\) 10.9381 8.44232i 0.911505 0.703527i
\(145\) 2.84525 0.626287i 0.236285 0.0520103i
\(146\) −21.2452 18.0458i −1.75826 1.49348i
\(147\) −1.86519 + 1.13160i −0.153838 + 0.0933324i
\(148\) 29.9176 8.30658i 2.45921 0.682797i
\(149\) 5.42710 6.38928i 0.444606 0.523430i −0.493516 0.869737i \(-0.664288\pi\)
0.938121 + 0.346307i \(0.112564\pi\)
\(150\) 8.25066 + 15.4253i 0.673664 + 1.25947i
\(151\) −1.11378 10.2411i −0.0906383 0.833406i −0.947909 0.318540i \(-0.896807\pi\)
0.857271 0.514865i \(-0.172158\pi\)
\(152\) 31.3131 + 3.40550i 2.53983 + 0.276223i
\(153\) −1.78359 5.16780i −0.144195 0.417792i
\(154\) −10.9618 + 8.33295i −0.883328 + 0.671488i
\(155\) 6.59233 + 6.24459i 0.529509 + 0.501578i
\(156\) −24.1045 + 20.6274i −1.92990 + 1.65151i
\(157\) 0.795578 + 0.539415i 0.0634940 + 0.0430500i 0.592521 0.805555i \(-0.298133\pi\)
−0.529027 + 0.848605i \(0.677443\pi\)
\(158\) −10.2107 12.0210i −0.812323 0.956341i
\(159\) 3.17090 + 1.24993i 0.251468 + 0.0991260i
\(160\) 0.946726 0.155208i 0.0748453 0.0122703i
\(161\) −6.78171 12.7917i −0.534473 1.00812i
\(162\) −1.52912 22.1744i −0.120139 1.74219i
\(163\) −1.05094 0.486215i −0.0823157 0.0380833i 0.378299 0.925683i \(-0.376509\pi\)
−0.460615 + 0.887600i \(0.652371\pi\)
\(164\) 21.9024 8.72670i 1.71029 0.681441i
\(165\) −1.24140 3.64013i −0.0966429 0.283384i
\(166\) −16.2534 + 30.6572i −1.26151 + 2.37946i
\(167\) −0.695340 + 2.06370i −0.0538071 + 0.159694i −0.971187 0.238319i \(-0.923404\pi\)
0.917380 + 0.398013i \(0.130300\pi\)
\(168\) −21.3977 2.24769i −1.65087 0.173413i
\(169\) 5.05682 4.79008i 0.388986 0.368467i
\(170\) 0.694760 4.23785i 0.0532857 0.325028i
\(171\) 11.6967 13.9772i 0.894472 1.06886i
\(172\) −33.1985 1.79997i −2.53136 0.137247i
\(173\) −1.39762 0.840918i −0.106259 0.0639338i 0.461432 0.887175i \(-0.347336\pi\)
−0.567691 + 0.823242i \(0.692163\pi\)
\(174\) 9.98506 + 8.41848i 0.756965 + 0.638203i
\(175\) 2.62127 9.44096i 0.198149 0.713670i
\(176\) 10.7177 0.807879
\(177\) −11.2065 7.17044i −0.842329 0.538963i
\(178\) 8.95499 0.671205
\(179\) −6.53444 + 23.5349i −0.488407 + 1.75908i 0.149289 + 0.988794i \(0.452302\pi\)
−0.637695 + 0.770289i \(0.720112\pi\)
\(180\) 4.84897 10.6861i 0.361421 0.796492i
\(181\) −6.18025 3.71853i −0.459374 0.276396i 0.266999 0.963697i \(-0.413968\pi\)
−0.726373 + 0.687300i \(0.758796\pi\)
\(182\) 26.4006 + 1.43140i 1.95694 + 0.106102i
\(183\) −7.43959 + 5.08414i −0.549951 + 0.375830i
\(184\) −5.06861 + 30.9171i −0.373663 + 2.27924i
\(185\) 5.24708 4.97030i 0.385773 0.365423i
\(186\) −4.25256 + 40.4838i −0.311813 + 2.96842i
\(187\) 1.35403 4.01862i 0.0990166 0.293871i
\(188\) 8.35202 15.7536i 0.609134 1.14895i
\(189\) −7.95470 + 9.57678i −0.578619 + 0.696608i
\(190\) 13.2999 5.29918i 0.964878 0.384443i
\(191\) −13.7878 6.37891i −0.997649 0.461562i −0.148044 0.988981i \(-0.547298\pi\)
−0.849605 + 0.527419i \(0.823160\pi\)
\(192\) −8.49007 7.98330i −0.612718 0.576145i
\(193\) −3.87484 7.30872i −0.278917 0.526093i 0.703987 0.710213i \(-0.251401\pi\)
−0.982904 + 0.184120i \(0.941057\pi\)
\(194\) 0.457185 0.0749517i 0.0328240 0.00538122i
\(195\) −2.70821 + 6.87033i −0.193939 + 0.491995i
\(196\) −3.34266 3.93528i −0.238761 0.281091i
\(197\) 5.63030 + 3.81744i 0.401142 + 0.271981i 0.745032 0.667029i \(-0.232434\pi\)
−0.343890 + 0.939010i \(0.611745\pi\)
\(198\) 9.57049 14.3410i 0.680145 1.01917i
\(199\) 16.5630 + 15.6893i 1.17412 + 1.11219i 0.991648 + 0.128976i \(0.0411690\pi\)
0.182473 + 0.983211i \(0.441590\pi\)
\(200\) −16.8791 + 12.8312i −1.19353 + 0.907301i
\(201\) −12.8281 + 0.742761i −0.904826 + 0.0523903i
\(202\) −3.32398 0.361505i −0.233875 0.0254354i
\(203\) −0.790911 7.27231i −0.0555111 0.510416i
\(204\) 11.4093 6.10257i 0.798808 0.427265i
\(205\) 3.55288 4.18278i 0.248144 0.292138i
\(206\) 25.8098 7.16606i 1.79825 0.499283i
\(207\) 13.2524 + 12.3700i 0.921107 + 0.859776i
\(208\) −15.6850 13.3229i −1.08756 0.923779i
\(209\) 13.8068 3.03911i 0.955037 0.210220i
\(210\) −9.07156 + 3.65308i −0.625997 + 0.252087i
\(211\) 0.783194 7.20135i 0.0539173 0.495762i −0.935780 0.352585i \(-0.885303\pi\)
0.989697 0.143177i \(-0.0457317\pi\)
\(212\) −1.73410 + 7.87810i −0.119098 + 0.541070i
\(213\) −13.1894 + 17.4832i −0.903723 + 1.19793i
\(214\) 28.3333 29.9111i 1.93682 2.04468i
\(215\) −7.02376 + 3.24954i −0.479017 + 0.221617i
\(216\) 26.2448 6.08072i 1.78574 0.413741i
\(217\) 17.3773 14.7605i 1.17965 1.00200i
\(218\) −1.12206 + 1.47605i −0.0759958 + 0.0999708i
\(219\) −8.27365 17.7123i −0.559082 1.19689i
\(220\) 8.04212 4.26366i 0.542199 0.287456i
\(221\) −6.97702 + 4.19793i −0.469325 + 0.282383i
\(222\) 31.9920 + 5.12430i 2.14716 + 0.343920i
\(223\) 3.57300 + 8.96755i 0.239266 + 0.600512i 0.998748 0.0500159i \(-0.0159272\pi\)
−0.759483 + 0.650527i \(0.774548\pi\)
\(224\) −0.130414 2.40534i −0.00871365 0.160714i
\(225\) 0.754127 + 12.2453i 0.0502752 + 0.816352i
\(226\) 33.8025 + 11.3894i 2.24851 + 0.757611i
\(227\) 3.28663 8.24882i 0.218141 0.547493i −0.778657 0.627450i \(-0.784099\pi\)
0.996798 + 0.0799564i \(0.0254781\pi\)
\(228\) 37.0423 + 22.1028i 2.45318 + 1.46379i
\(229\) −12.8777 2.11119i −0.850980 0.139511i −0.279519 0.960140i \(-0.590175\pi\)
−0.571461 + 0.820629i \(0.693623\pi\)
\(230\) 4.54700 + 13.4950i 0.299820 + 0.889835i
\(231\) −9.42346 + 2.11056i −0.620018 + 0.138865i
\(232\) −8.16101 + 13.5637i −0.535797 + 0.890501i
\(233\) −5.14162 7.58333i −0.336839 0.496800i 0.621116 0.783719i \(-0.286680\pi\)
−0.957955 + 0.286918i \(0.907369\pi\)
\(234\) −31.8329 + 9.09062i −2.08098 + 0.594273i
\(235\) 4.15048i 0.270747i
\(236\) 12.5622 28.8730i 0.817726 1.87947i
\(237\) −2.99837 10.6474i −0.194765 0.691621i
\(238\) −10.3899 2.88473i −0.673475 0.186989i
\(239\) −12.1863 + 8.26253i −0.788267 + 0.534459i −0.887611 0.460595i \(-0.847636\pi\)
0.0993431 + 0.995053i \(0.468326\pi\)
\(240\) 7.34199 + 2.00949i 0.473923 + 0.129712i
\(241\) 0.608708 11.2270i 0.0392104 0.723193i −0.911156 0.412061i \(-0.864809\pi\)
0.950367 0.311132i \(-0.100708\pi\)
\(242\) −13.0708 + 4.40405i −0.840221 + 0.283103i
\(243\) 5.50312 14.5848i 0.353025 0.935614i
\(244\) −14.6661 15.4829i −0.938904 0.991189i
\(245\) −1.11651 0.444860i −0.0713315 0.0284211i
\(246\) 24.5710 + 1.24175i 1.56659 + 0.0791712i
\(247\) −23.9835 12.7153i −1.52604 0.809053i
\(248\) −49.2655 + 2.67110i −3.12836 + 0.169615i
\(249\) −19.3191 + 14.7982i −1.22430 + 0.937801i
\(250\) −8.99407 + 19.4404i −0.568835 + 1.22952i
\(251\) 8.67193 + 14.4129i 0.547367 + 0.909731i 0.999839 + 0.0179526i \(0.00571479\pi\)
−0.452472 + 0.891779i \(0.649458\pi\)
\(252\) −25.3580 15.0050i −1.59741 0.945223i
\(253\) 2.27498 + 13.8767i 0.143027 + 0.872424i
\(254\) 1.41504 + 1.07569i 0.0887876 + 0.0674946i
\(255\) 1.68102 2.49902i 0.105269 0.156494i
\(256\) 18.2655 26.9395i 1.14159 1.68372i
\(257\) −6.71439 14.5129i −0.418832 0.905290i −0.996058 0.0887058i \(-0.971727\pi\)
0.577226 0.816584i \(-0.304135\pi\)
\(258\) −30.7114 16.1380i −1.91201 1.00471i
\(259\) −10.9823 14.4470i −0.682409 0.897694i
\(260\) −17.0694 3.75725i −1.05860 0.233015i
\(261\) 3.90693 + 8.28452i 0.241833 + 0.512799i
\(262\) −31.6868 + 3.44615i −1.95762 + 0.212904i
\(263\) −1.72329 7.82898i −0.106262 0.482755i −0.999453 0.0330765i \(-0.989469\pi\)
0.893190 0.449679i \(-0.148462\pi\)
\(264\) 18.9976 + 8.70472i 1.16922 + 0.535738i
\(265\) 0.502338 + 1.80926i 0.0308584 + 0.111142i
\(266\) −9.61712 34.6377i −0.589664 2.12378i
\(267\) 5.70956 + 2.61612i 0.349419 + 0.160104i
\(268\) −6.53760 29.7006i −0.399348 1.81425i
\(269\) −3.48316 + 0.378816i −0.212372 + 0.0230968i −0.213686 0.976902i \(-0.568547\pi\)
0.00131459 + 0.999999i \(0.499582\pi\)
\(270\) 9.24492 8.02964i 0.562628 0.488669i
\(271\) 23.3258 + 5.13439i 1.41694 + 0.311892i 0.856433 0.516258i \(-0.172675\pi\)
0.560507 + 0.828150i \(0.310606\pi\)
\(272\) 5.07926 + 6.68165i 0.307975 + 0.405135i
\(273\) 16.4144 + 8.62534i 0.993447 + 0.522029i
\(274\) −14.7278 31.8337i −0.889740 1.92314i
\(275\) −5.34050 + 7.87666i −0.322045 + 0.474980i
\(276\) −23.9475 + 35.6006i −1.44147 + 2.14290i
\(277\) 7.51968 + 5.71631i 0.451814 + 0.343460i 0.806204 0.591638i \(-0.201518\pi\)
−0.354390 + 0.935098i \(0.615311\pi\)
\(278\) 7.40354 + 45.1596i 0.444035 + 2.70849i
\(279\) −14.5383 + 24.5695i −0.870388 + 1.47094i
\(280\) −6.11090 10.1564i −0.365196 0.606961i
\(281\) −3.44091 + 7.43741i −0.205268 + 0.443679i −0.982680 0.185313i \(-0.940670\pi\)
0.777412 + 0.628992i \(0.216532\pi\)
\(282\) 14.7708 11.3143i 0.879589 0.673756i
\(283\) 2.36440 0.128194i 0.140549 0.00762033i 0.0162697 0.999868i \(-0.494821\pi\)
0.124279 + 0.992247i \(0.460338\pi\)
\(284\) −45.7944 24.2787i −2.71740 1.44067i
\(285\) 10.0279 + 0.506784i 0.594003 + 0.0300193i
\(286\) −23.8555 9.50491i −1.41061 0.562037i
\(287\) −9.47648 10.0042i −0.559379 0.590529i
\(288\) 1.13696 + 2.79373i 0.0669960 + 0.164622i
\(289\) −12.9631 + 4.36778i −0.762536 + 0.256928i
\(290\) −0.389533 + 7.18452i −0.0228742 + 0.421890i
\(291\) 0.313390 + 0.0857744i 0.0183713 + 0.00502819i
\(292\) 38.2957 25.9652i 2.24109 1.51950i
\(293\) 17.7368 + 4.92460i 1.03620 + 0.287698i 0.743661 0.668557i \(-0.233088\pi\)
0.292534 + 0.956255i \(0.405501\pi\)
\(294\) −1.46046 5.18617i −0.0851758 0.302464i
\(295\) −0.564596 7.30761i −0.0328720 0.425466i
\(296\) 39.2698i 2.28251i
\(297\) 10.2916 6.34765i 0.597178 0.368328i
\(298\) 11.6186 + 17.1361i 0.673046 + 0.992668i
\(299\) 13.9205 23.1360i 0.805042 1.33799i
\(300\) −28.3343 + 6.34600i −1.63588 + 0.366386i
\(301\) 6.20467 + 18.4148i 0.357632 + 1.06141i
\(302\) 25.1061 + 4.11594i 1.44469 + 0.236846i
\(303\) −2.01371 1.20156i −0.115684 0.0690279i
\(304\) −10.3568 + 25.9935i −0.594001 + 1.49083i
\(305\) −4.70433 1.58507i −0.269369 0.0907611i
\(306\) 13.4760 0.829924i 0.770374 0.0474436i
\(307\) 0.779228 + 14.3720i 0.0444729 + 0.820254i 0.932656 + 0.360766i \(0.117485\pi\)
−0.888184 + 0.459489i \(0.848033\pi\)
\(308\) −8.45965 21.2321i −0.482034 1.20981i
\(309\) 18.5494 + 2.97114i 1.05524 + 0.169022i
\(310\) −19.2156 + 11.5616i −1.09137 + 0.656657i
\(311\) 12.7806 6.77582i 0.724719 0.384222i −0.0648405 0.997896i \(-0.520654\pi\)
0.789560 + 0.613674i \(0.210309\pi\)
\(312\) −16.9817 36.3545i −0.961397 2.05817i
\(313\) 10.6700 14.0361i 0.603102 0.793367i −0.388671 0.921377i \(-0.627066\pi\)
0.991773 + 0.128010i \(0.0408588\pi\)
\(314\) −1.80927 + 1.53681i −0.102103 + 0.0867271i
\(315\) −6.85109 0.321025i −0.386015 0.0180877i
\(316\) 23.7600 10.9926i 1.33661 0.618380i
\(317\) −3.44956 + 3.64165i −0.193746 + 0.204536i −0.815630 0.578574i \(-0.803609\pi\)
0.621883 + 0.783110i \(0.286368\pi\)
\(318\) −5.06945 + 6.71981i −0.284281 + 0.376828i
\(319\) −1.52734 + 6.93880i −0.0855149 + 0.388498i
\(320\) 0.694155 6.38265i 0.0388044 0.356801i
\(321\) 26.8031 10.7935i 1.49600 0.602435i
\(322\) 34.9205 7.68658i 1.94604 0.428357i
\(323\) 8.43786 + 7.16718i 0.469495 + 0.398793i
\(324\) 36.1438 + 7.40115i 2.00799 + 0.411175i
\(325\) 17.6069 4.88852i 0.976654 0.271167i
\(326\) 1.85139 2.17962i 0.102539 0.120718i
\(327\) −1.14662 + 0.613305i −0.0634085 + 0.0339158i
\(328\) 3.22400 + 29.6442i 0.178015 + 1.63682i
\(329\) −10.3604 1.12676i −0.571186 0.0621202i
\(330\) 9.48247 0.549045i 0.521993 0.0302239i
\(331\) 0.0962364 0.0731570i 0.00528963 0.00402107i −0.602526 0.798099i \(-0.705839\pi\)
0.607816 + 0.794078i \(0.292046\pi\)
\(332\) −41.8143 39.6086i −2.29486 2.17380i
\(333\) 18.9006 + 12.6133i 1.03575 + 0.691207i
\(334\) −4.45148 3.01818i −0.243574 0.165147i
\(335\) −4.58284 5.39533i −0.250387 0.294779i
\(336\) 7.00925 17.7815i 0.382386 0.970058i
\(337\) −17.0008 + 2.78715i −0.926095 + 0.151826i −0.605913 0.795531i \(-0.707192\pi\)
−0.320182 + 0.947356i \(0.603744\pi\)
\(338\) 8.05766 + 15.1984i 0.438279 + 0.826682i
\(339\) 18.2246 + 17.1368i 0.989825 + 0.930742i
\(340\) 6.46931 + 2.99302i 0.350848 + 0.162319i
\(341\) −20.5719 + 8.19658i −1.11403 + 0.443870i
\(342\) 25.5327 + 37.0691i 1.38065 + 2.00447i
\(343\) −9.26945 + 17.4840i −0.500503 + 0.944050i
\(344\) 13.4265 39.8485i 0.723909 2.14848i
\(345\) −1.04335 + 9.93256i −0.0561721 + 0.534751i
\(346\) 2.92452 2.77025i 0.157223 0.148930i
\(347\) −3.19040 + 19.4606i −0.171270 + 1.04470i 0.751609 + 0.659609i \(0.229278\pi\)
−0.922879 + 0.385090i \(0.874170\pi\)
\(348\) −17.8981 + 12.2313i −0.959438 + 0.655669i
\(349\) 9.17644 + 0.497532i 0.491204 + 0.0266323i 0.298078 0.954542i \(-0.403655\pi\)
0.193126 + 0.981174i \(0.438137\pi\)
\(350\) 20.7344 + 12.4755i 1.10830 + 0.666841i
\(351\) −22.9519 3.50366i −1.22508 0.187012i
\(352\) −0.625917 + 2.25435i −0.0333615 + 0.120157i
\(353\) 37.0603 1.97252 0.986261 0.165194i \(-0.0528252\pi\)
0.986261 + 0.165194i \(0.0528252\pi\)
\(354\) 24.4674 21.9300i 1.30043 1.16557i
\(355\) −12.0651 −0.640350
\(356\) −3.97654 + 14.3222i −0.210756 + 0.759075i
\(357\) −5.78166 4.87456i −0.305998 0.257989i
\(358\) −51.6877 31.0995i −2.73178 1.64366i
\(359\) 17.6446 + 0.956660i 0.931244 + 0.0504906i 0.513515 0.858081i \(-0.328343\pi\)
0.417730 + 0.908571i \(0.362826\pi\)
\(360\) 11.3819 + 9.52492i 0.599880 + 0.502007i
\(361\) −2.89725 + 17.6724i −0.152487 + 0.930128i
\(362\) 12.9322 12.2500i 0.679700 0.643846i
\(363\) −9.62031 1.01055i −0.504935 0.0530402i
\(364\) −14.0127 + 41.5883i −0.734467 + 2.17982i
\(365\) 5.04474 9.51540i 0.264054 0.498059i
\(366\) −7.18310 21.0628i −0.375467 1.10097i
\(367\) −25.8604 + 10.3037i −1.34990 + 0.537851i −0.929277 0.369383i \(-0.879569\pi\)
−0.420627 + 0.907234i \(0.638190\pi\)
\(368\) −25.2593 11.6862i −1.31673 0.609186i
\(369\) 15.3033 + 7.96991i 0.796658 + 0.414897i
\(370\) 8.36082 + 15.7702i 0.434658 + 0.819852i
\(371\) 4.65263 0.762760i 0.241552 0.0396005i
\(372\) −62.8596 24.7785i −3.25912 1.28471i
\(373\) 12.8263 + 15.1003i 0.664120 + 0.781862i 0.986326 0.164807i \(-0.0527003\pi\)
−0.322206 + 0.946670i \(0.604424\pi\)
\(374\) 8.66833 + 5.87727i 0.448229 + 0.303907i
\(375\) −11.4138 + 9.76733i −0.589406 + 0.504383i
\(376\) 16.3722 + 15.5086i 0.844332 + 0.799794i
\(377\) 10.8606 8.25605i 0.559352 0.425208i
\(378\) −17.5337 25.2569i −0.901837 1.29908i
\(379\) 27.5967 + 3.00132i 1.41755 + 0.154168i 0.784588 0.620018i \(-0.212875\pi\)
0.632959 + 0.774185i \(0.281840\pi\)
\(380\) 2.56931 + 23.6244i 0.131803 + 1.21191i
\(381\) 0.587955 + 1.09923i 0.0301219 + 0.0563153i
\(382\) 24.2893 28.5956i 1.24275 1.46308i
\(383\) 15.5632 4.32109i 0.795240 0.220797i 0.153933 0.988081i \(-0.450806\pi\)
0.641307 + 0.767284i \(0.278392\pi\)
\(384\) 27.5847 16.7354i 1.40767 0.854023i
\(385\) −4.05478 3.44416i −0.206651 0.175531i
\(386\) 19.9524 4.39185i 1.01555 0.223539i
\(387\) −14.8665 19.2614i −0.755709 0.979112i
\(388\) −0.0831426 + 0.764484i −0.00422093 + 0.0388108i
\(389\) 4.41939 20.0775i 0.224072 1.01797i −0.721464 0.692452i \(-0.756531\pi\)
0.945536 0.325517i \(-0.105538\pi\)
\(390\) −14.5597 10.9839i −0.737260 0.556191i
\(391\) −7.57291 + 7.99463i −0.382979 + 0.404306i
\(392\) 5.92676 2.74201i 0.299346 0.138492i
\(393\) −21.2097 7.05980i −1.06989 0.356120i
\(394\) −12.8042 + 10.8760i −0.645066 + 0.547924i
\(395\) 3.68787 4.85131i 0.185557 0.244096i
\(396\) 18.6865 + 21.6748i 0.939030 + 1.08920i
\(397\) 0.875760 0.464299i 0.0439531 0.0233025i −0.446287 0.894890i \(-0.647254\pi\)
0.490240 + 0.871587i \(0.336909\pi\)
\(398\) −48.2786 + 29.0482i −2.41999 + 1.45606i
\(399\) 3.98738 24.8940i 0.199619 1.24626i
\(400\) −6.97157 17.4973i −0.348579 0.874866i
\(401\) −0.892082 16.4535i −0.0445485 0.821648i −0.932380 0.361480i \(-0.882272\pi\)
0.887832 0.460169i \(-0.152211\pi\)
\(402\) 6.70813 31.0173i 0.334571 1.54700i
\(403\) 40.2950 + 13.5770i 2.00724 + 0.676317i
\(404\) 2.05422 5.15570i 0.102201 0.256506i
\(405\) 8.24019 2.41875i 0.409459 0.120189i
\(406\) 17.8282 + 2.92278i 0.884798 + 0.145055i
\(407\) 5.62792 + 16.7031i 0.278966 + 0.827941i
\(408\) 3.57651 + 15.9688i 0.177064 + 0.790573i
\(409\) −6.34977 + 10.5534i −0.313976 + 0.521832i −0.973154 0.230155i \(-0.926077\pi\)
0.659178 + 0.751987i \(0.270904\pi\)
\(410\) 7.60616 + 11.2182i 0.375642 + 0.554030i
\(411\) −0.0903053 24.5992i −0.00445443 1.21339i
\(412\) 44.4612i 2.19044i
\(413\) −18.3945 0.574510i −0.905132 0.0282698i
\(414\) −38.1924 + 23.3632i −1.87705 + 1.14824i
\(415\) −12.9180 3.58667i −0.634121 0.176063i
\(416\) 3.71833 2.52109i 0.182306 0.123607i
\(417\) −8.47258 + 30.9559i −0.414904 + 1.51592i
\(418\) −1.89024 + 34.8635i −0.0924548 + 1.70523i
\(419\) 3.93646 1.32635i 0.192309 0.0647964i −0.221499 0.975161i \(-0.571095\pi\)
0.413808 + 0.910364i \(0.364198\pi\)
\(420\) −1.81427 16.1308i −0.0885275 0.787103i
\(421\) −19.2099 20.2796i −0.936233 0.988369i 0.0637210 0.997968i \(-0.479703\pi\)
−0.999954 + 0.00959865i \(0.996945\pi\)
\(422\) 16.6193 + 6.62173i 0.809015 + 0.322341i
\(423\) 12.7230 2.89864i 0.618613 0.140937i
\(424\) −9.01393 4.77888i −0.437755 0.232083i
\(425\) −7.44140 + 0.403461i −0.360961 + 0.0195707i
\(426\) −32.8897 42.9376i −1.59351 2.08033i
\(427\) −5.23376 + 11.3126i −0.253279 + 0.547455i
\(428\) 35.2568 + 58.5972i 1.70420 + 2.83240i
\(429\) −12.4331 13.0293i −0.600277 0.629063i
\(430\) −3.09213 18.8612i −0.149116 0.909566i
\(431\) −23.2497 17.6739i −1.11990 0.851324i −0.129777 0.991543i \(-0.541426\pi\)
−0.990121 + 0.140219i \(0.955219\pi\)
\(432\) −1.03240 + 23.9097i −0.0496714 + 1.15036i
\(433\) −3.48730 + 5.14339i −0.167589 + 0.247176i −0.902205 0.431308i \(-0.858052\pi\)
0.734616 + 0.678484i \(0.237363\pi\)
\(434\) 23.6435 + 51.1045i 1.13492 + 2.45309i
\(435\) −2.34725 + 4.46693i −0.112542 + 0.214173i
\(436\) −1.86247 2.45003i −0.0891959 0.117335i
\(437\) −35.8533 7.89192i −1.71510 0.377522i
\(438\) 47.6157 7.98580i 2.27516 0.381576i
\(439\) −19.4510 + 2.11542i −0.928344 + 0.100964i −0.559782 0.828640i \(-0.689115\pi\)
−0.368562 + 0.929603i \(0.620150\pi\)
\(440\) 2.47482 + 11.2432i 0.117982 + 0.535998i
\(441\) 0.583927 3.73328i 0.0278060 0.177775i
\(442\) −5.37987 19.3765i −0.255894 0.921647i
\(443\) 2.07366 + 7.46867i 0.0985228 + 0.354847i 0.996336 0.0855304i \(-0.0272585\pi\)
−0.897813 + 0.440377i \(0.854845\pi\)
\(444\) −22.4019 + 48.8911i −1.06315 + 2.32027i
\(445\) 0.743782 + 3.37903i 0.0352586 + 0.160182i
\(446\) −23.7004 + 2.57758i −1.12225 + 0.122052i
\(447\) 2.40165 + 14.3200i 0.113594 + 0.677311i
\(448\) −15.7438 3.46548i −0.743827 0.163729i
\(449\) −20.1188 26.4658i −0.949464 1.24900i −0.968458 0.249178i \(-0.919839\pi\)
0.0189941 0.999820i \(-0.493954\pi\)
\(450\) −29.6378 6.29600i −1.39714 0.296796i
\(451\) 5.61973 + 12.1468i 0.264623 + 0.571973i
\(452\) −33.2260 + 49.0046i −1.56282 + 2.30498i
\(453\) 14.8048 + 9.95877i 0.695590 + 0.467904i
\(454\) 17.4579 + 13.2711i 0.819338 + 0.622845i
\(455\) 1.65266 + 10.0808i 0.0774779 + 0.472594i
\(456\) −39.4692 + 37.6630i −1.84831 + 1.76373i
\(457\) −6.36529 10.5792i −0.297756 0.494874i 0.671475 0.741027i \(-0.265661\pi\)
−0.969231 + 0.246153i \(0.920833\pi\)
\(458\) 13.5323 29.2496i 0.632322 1.36674i
\(459\) 8.83455 + 3.40775i 0.412362 + 0.159060i
\(460\) −23.6024 + 1.27969i −1.10047 + 0.0596657i
\(461\) 27.0372 + 14.3342i 1.25925 + 0.667611i 0.958228 0.286006i \(-0.0923277\pi\)
0.301021 + 0.953618i \(0.402673\pi\)
\(462\) 1.20375 23.8191i 0.0560036 1.10816i
\(463\) 14.6737 + 5.84655i 0.681946 + 0.271712i 0.685277 0.728282i \(-0.259681\pi\)
−0.00333123 + 0.999994i \(0.501060\pi\)
\(464\) −9.67051 10.2090i −0.448942 0.473942i
\(465\) −15.6292 + 1.75785i −0.724786 + 0.0815185i
\(466\) 21.4428 7.22493i 0.993320 0.334689i
\(467\) −0.416549 + 7.68279i −0.0192756 + 0.355517i 0.972946 + 0.231033i \(0.0742105\pi\)
−0.992222 + 0.124485i \(0.960272\pi\)
\(468\) −0.403447 54.9489i −0.0186494 2.54001i
\(469\) −14.7119 + 9.97492i −0.679333 + 0.460599i
\(470\) 9.87672 + 2.74226i 0.455579 + 0.126491i
\(471\) −1.60252 + 0.451282i −0.0738404 + 0.0207940i
\(472\) 30.9357 + 25.0783i 1.42393 + 1.15432i
\(473\) 18.8734i 0.867801i
\(474\) 27.3182 0.100287i 1.25477 0.00460633i
\(475\) −13.9425 20.5636i −0.639724 0.943522i
\(476\) 9.22742 15.3361i 0.422938 0.702928i
\(477\) −5.19533 + 2.80345i −0.237878 + 0.128361i
\(478\) −11.6104 34.4584i −0.531047 1.57609i
\(479\) −31.2161 5.11761i −1.42630 0.233830i −0.601326 0.799004i \(-0.705361\pi\)
−0.824972 + 0.565174i \(0.808809\pi\)
\(480\) −0.851447 + 1.42695i −0.0388631 + 0.0651310i
\(481\) 12.5269 31.4402i 0.571178 1.43355i
\(482\) 26.3142 + 8.86628i 1.19858 + 0.403848i
\(483\) 24.5103 + 5.30086i 1.11526 + 0.241198i
\(484\) −1.23946 22.8604i −0.0563390 1.03911i
\(485\) 0.0662547 + 0.166287i 0.00300847 + 0.00755069i
\(486\) 31.0708 + 22.7318i 1.40940 + 1.03114i
\(487\) −20.3541 + 12.2466i −0.922331 + 0.554948i −0.895681 0.444697i \(-0.853311\pi\)
−0.0266498 + 0.999645i \(0.508484\pi\)
\(488\) 23.8307 12.6342i 1.07876 0.571924i
\(489\) 1.81717 0.848826i 0.0821753 0.0383852i
\(490\) 1.79631 2.36300i 0.0811488 0.106749i
\(491\) −27.2005 + 23.1043i −1.22754 + 1.04268i −0.229960 + 0.973200i \(0.573860\pi\)
−0.997583 + 0.0694843i \(0.977865\pi\)
\(492\) −12.8970 + 38.7463i −0.581440 + 1.74682i
\(493\) −5.04962 + 2.33620i −0.227423 + 0.105217i
\(494\) 46.1041 48.6716i 2.07432 2.18984i
\(495\) 6.20626 + 2.42015i 0.278951 + 0.108778i
\(496\) 9.42193 42.8042i 0.423057 1.92197i
\(497\) −3.27540 + 30.1168i −0.146922 + 1.35092i
\(498\) −22.4504 55.7503i −1.00603 2.49823i
\(499\) 24.5584 5.40572i 1.09939 0.241993i 0.372008 0.928230i \(-0.378670\pi\)
0.727378 + 0.686237i \(0.240738\pi\)
\(500\) −27.0981 23.0174i −1.21187 1.02937i
\(501\) −1.95646 3.22480i −0.0874080 0.144073i
\(502\) −40.0273 + 11.1135i −1.78651 + 0.496021i
\(503\) 10.3669 12.2049i 0.462239 0.544190i −0.480818 0.876820i \(-0.659660\pi\)
0.943057 + 0.332630i \(0.107936\pi\)
\(504\) 26.8659 25.8256i 1.19670 1.15037i
\(505\) −0.139674 1.28428i −0.00621542 0.0571498i
\(506\) −34.5250 3.75482i −1.53482 0.166922i
\(507\) 0.697371 + 12.0442i 0.0309713 + 0.534901i
\(508\) −2.34877 + 1.78548i −0.104210 + 0.0792181i
\(509\) −17.0726 16.1721i −0.756731 0.716814i 0.208554 0.978011i \(-0.433124\pi\)
−0.965286 + 0.261197i \(0.915883\pi\)
\(510\) 4.83614 + 5.65137i 0.214148 + 0.250247i
\(511\) −22.3827 15.1758i −0.990152 0.671340i
\(512\) 27.9199 + 32.8699i 1.23390 + 1.45266i
\(513\) 5.44986 + 31.0938i 0.240617 + 1.37282i
\(514\) 38.9720 6.38914i 1.71898 0.281813i
\(515\) 4.84771 + 9.14375i 0.213616 + 0.402922i
\(516\) 39.4481 41.9522i 1.73661 1.84684i
\(517\) 9.18638 + 4.25007i 0.404016 + 0.186918i
\(518\) 41.6351 16.5889i 1.82934 0.728876i
\(519\) 2.67393 0.911895i 0.117372 0.0400277i
\(520\) 10.3543 19.5303i 0.454067 0.856462i
\(521\) −5.55522 + 16.4873i −0.243378 + 0.722322i 0.754444 + 0.656364i \(0.227907\pi\)
−0.997822 + 0.0659571i \(0.978990\pi\)
\(522\) −22.2957 + 3.82349i −0.975855 + 0.167350i
\(523\) −13.3215 + 12.6188i −0.582507 + 0.551780i −0.921186 0.389122i \(-0.872778\pi\)
0.338679 + 0.940902i \(0.390020\pi\)
\(524\) 8.55918 52.2087i 0.373910 2.28075i
\(525\) 9.57530 + 14.0115i 0.417900 + 0.611512i
\(526\) 19.7689 + 1.07184i 0.861964 + 0.0467343i
\(527\) −14.8592 8.94047i −0.647276 0.389453i
\(528\) −11.9658 + 14.1925i −0.520746 + 0.617651i
\(529\) 3.61591 13.0233i 0.157214 0.566232i
\(530\) −4.63732 −0.201432
\(531\) 22.0067 6.83427i 0.955007 0.296582i
\(532\) 59.6686 2.58696
\(533\) 6.87518 24.7622i 0.297797 1.07257i
\(534\) −9.99782 + 11.8583i −0.432648 + 0.513159i
\(535\) 13.6398 + 8.20680i 0.589700 + 0.354811i
\(536\) 38.4068 + 2.08236i 1.65892 + 0.0899442i
\(537\) −23.8698 34.9286i −1.03006 1.50728i
\(538\) 1.39990 8.53901i 0.0603540 0.368143i
\(539\) 2.12793 2.01568i 0.0916563 0.0868215i
\(540\) 8.73696 + 18.3515i 0.375979 + 0.789724i
\(541\) 12.5980 37.3896i 0.541631 1.60750i −0.231210 0.972904i \(-0.574268\pi\)
0.772841 0.634600i \(-0.218835\pi\)
\(542\) −27.6296 + 52.1150i −1.18679 + 2.23853i
\(543\) 11.8241 4.03239i 0.507420 0.173046i
\(544\) −1.70204 + 0.678154i −0.0729743 + 0.0290756i
\(545\) −0.650162 0.300797i −0.0278499 0.0128847i
\(546\) −31.3705 + 33.3619i −1.34253 + 1.42776i
\(547\) 1.76711 + 3.33313i 0.0755563 + 0.142514i 0.918412 0.395625i \(-0.129472\pi\)
−0.842856 + 0.538140i \(0.819127\pi\)
\(548\) 57.4533 9.41899i 2.45428 0.402359i
\(549\) 1.57348 15.5278i 0.0671546 0.662710i
\(550\) −15.2152 17.9128i −0.648780 0.763802i
\(551\) −15.3526 10.4093i −0.654044 0.443453i
\(552\) −35.2819 41.2294i −1.50170 1.75484i
\(553\) −11.1086 10.5226i −0.472387 0.447468i
\(554\) −18.5712 + 14.1175i −0.789014 + 0.599793i
\(555\) 0.723609 + 12.4973i 0.0307155 + 0.530482i
\(556\) −75.5138 8.21262i −3.20250 0.348293i
\(557\) 1.86681 + 17.1651i 0.0790994 + 0.727307i 0.964788 + 0.263028i \(0.0847211\pi\)
−0.885689 + 0.464279i \(0.846313\pi\)
\(558\) −48.8613 50.8295i −2.06847 2.15179i
\(559\) −23.4610 + 27.6205i −0.992297 + 1.16822i
\(560\) 10.1458 2.81697i 0.428738 0.119039i
\(561\) 3.80979 + 6.27963i 0.160850 + 0.265126i
\(562\) −15.4251 13.1022i −0.650667 0.552681i
\(563\) −20.3244 + 4.47374i −0.856572 + 0.188546i −0.621483 0.783428i \(-0.713469\pi\)
−0.235089 + 0.971974i \(0.575538\pi\)
\(564\) 11.5364 + 28.6480i 0.485772 + 1.20630i
\(565\) −1.49006 + 13.7009i −0.0626872 + 0.576399i
\(566\) −1.25712 + 5.71116i −0.0528407 + 0.240058i
\(567\) −3.80063 21.2257i −0.159612 0.891396i
\(568\) 45.0822 47.5927i 1.89161 1.99694i
\(569\) 26.8708 12.4318i 1.12648 0.521167i 0.233996 0.972238i \(-0.424820\pi\)
0.892488 + 0.451071i \(0.148958\pi\)
\(570\) −7.83151 + 23.5282i −0.328026 + 0.985487i
\(571\) −5.25543 + 4.46400i −0.219933 + 0.186813i −0.750579 0.660781i \(-0.770225\pi\)
0.530646 + 0.847594i \(0.321949\pi\)
\(572\) 25.7950 33.9327i 1.07854 1.41880i
\(573\) 23.8404 11.1362i 0.995948 0.465221i
\(574\) 30.0678 15.9409i 1.25500 0.665361i
\(575\) 21.1748 12.7405i 0.883050 0.531314i
\(576\) 20.0503 2.32968i 0.835431 0.0970700i
\(577\) 9.82847 + 24.6676i 0.409165 + 1.02693i 0.978762 + 0.205002i \(0.0657199\pi\)
−0.569597 + 0.821924i \(0.692901\pi\)
\(578\) −1.82898 33.7336i −0.0760757 1.40313i
\(579\) 14.0044 + 3.02873i 0.582001 + 0.125870i
\(580\) −11.3176 3.81335i −0.469939 0.158341i
\(581\) −12.4600 + 31.2721i −0.516926 + 1.29739i
\(582\) −0.411173 + 0.689089i −0.0170437 + 0.0285637i
\(583\) −4.51888 0.740833i −0.187153 0.0306822i
\(584\) 18.6849 + 55.4547i 0.773186 + 2.29473i
\(585\) −6.07419 11.2566i −0.251137 0.465405i
\(586\) −23.4377 + 38.9538i −0.968204 + 1.60917i
\(587\) −3.22116 4.75085i −0.132951 0.196089i 0.755386 0.655280i \(-0.227449\pi\)
−0.888337 + 0.459192i \(0.848139\pi\)
\(588\) 8.94306 0.0328306i 0.368806 0.00135391i
\(589\) 57.8130i 2.38214i
\(590\) 17.7627 + 3.48466i 0.731277 + 0.143461i
\(591\) −11.3411 + 3.19372i −0.466509 + 0.131372i
\(592\) −33.6135 9.33274i −1.38151 0.383573i
\(593\) −7.94006 + 5.38349i −0.326059 + 0.221074i −0.713223 0.700937i \(-0.752765\pi\)
0.387164 + 0.922011i \(0.373455\pi\)
\(594\) 8.30549 + 28.6844i 0.340778 + 1.17693i
\(595\) 0.225552 4.16006i 0.00924673 0.170546i
\(596\) −32.5660 + 10.9728i −1.33396 + 0.449462i
\(597\) −39.2678 + 4.41655i −1.60712 + 0.180757i
\(598\) 45.8584 + 48.4122i 1.87529 + 1.97972i
\(599\) 25.9416 + 10.3361i 1.05995 + 0.422321i 0.833969 0.551811i \(-0.186063\pi\)
0.225978 + 0.974133i \(0.427442\pi\)
\(600\) 1.85355 36.6769i 0.0756710 1.49733i
\(601\) −9.42853 4.99869i −0.384598 0.203901i 0.264880 0.964281i \(-0.414668\pi\)
−0.649478 + 0.760381i \(0.725012\pi\)
\(602\) −47.9205 + 2.59817i −1.95309 + 0.105894i
\(603\) 13.3384 17.8164i 0.543182 0.725540i
\(604\) −17.7314 + 38.3258i −0.721481 + 1.55946i
\(605\) −2.74743 4.56627i −0.111699 0.185645i
\(606\) 4.18978 3.99805i 0.170198 0.162410i
\(607\) 3.69832 + 22.5587i 0.150110 + 0.915631i 0.949258 + 0.314497i \(0.101836\pi\)
−0.799148 + 0.601134i \(0.794716\pi\)
\(608\) −4.86259 3.69645i −0.197204 0.149911i
\(609\) 10.5131 + 7.07185i 0.426012 + 0.286566i
\(610\) 6.88013 10.1474i 0.278568 0.410857i
\(611\) −8.16074 17.6392i −0.330148 0.713604i
\(612\) −4.65681 + 21.9215i −0.188240 + 0.886124i
\(613\) 0.143288 + 0.188492i 0.00578733 + 0.00761310i 0.798978 0.601361i \(-0.205375\pi\)
−0.793190 + 0.608974i \(0.791581\pi\)
\(614\) −34.7153 7.64142i −1.40100 0.308383i
\(615\) 1.57226 + 9.37464i 0.0633995 + 0.378022i
\(616\) 28.7370 3.12534i 1.15785 0.125923i
\(617\) −2.86016 12.9938i −0.115146 0.523112i −0.998517 0.0544386i \(-0.982663\pi\)
0.883371 0.468674i \(-0.155268\pi\)
\(618\) −19.3260 + 42.1782i −0.777408 + 1.69666i
\(619\) 1.68175 + 6.05711i 0.0675952 + 0.243456i 0.989628 0.143657i \(-0.0458862\pi\)
−0.922032 + 0.387113i \(0.873472\pi\)
\(620\) −9.95831 35.8666i −0.399936 1.44044i
\(621\) −31.1762 + 3.73846i −1.25106 + 0.150019i
\(622\) 7.67992 + 34.8902i 0.307937 + 1.39897i
\(623\) 8.63663 0.939290i 0.346019 0.0376319i
\(624\) 35.1539 5.89579i 1.40728 0.236020i
\(625\) 11.8868 + 2.61649i 0.475474 + 0.104660i
\(626\) 26.3514 + 34.6646i 1.05321 + 1.38548i
\(627\) −11.3902 + 21.6762i −0.454882 + 0.865662i
\(628\) −1.65448 3.57610i −0.0660209 0.142702i
\(629\) −7.74590 + 11.4244i −0.308849 + 0.455519i
\(630\) 5.29051 16.0911i 0.210779 0.641087i
\(631\) −4.72446 3.59144i −0.188078 0.142973i 0.506898 0.862006i \(-0.330792\pi\)
−0.694976 + 0.719033i \(0.744585\pi\)
\(632\) 5.35674 + 32.6747i 0.213080 + 1.29973i
\(633\) 8.66171 + 9.07708i 0.344272 + 0.360782i
\(634\) −6.38674 10.6148i −0.253650 0.421569i
\(635\) −0.288364 + 0.623289i −0.0114434 + 0.0247345i
\(636\) −8.49622 11.0918i −0.336897 0.439820i
\(637\) −5.61977 + 0.304695i −0.222664 + 0.0120725i
\(638\) −15.5028 8.21908i −0.613763 0.325397i
\(639\) −8.42612 36.9847i −0.333332 1.46309i
\(640\) 16.5123 + 6.57912i 0.652708 + 0.260062i
\(641\) 19.3531 + 20.4309i 0.764403 + 0.806971i 0.985749 0.168225i \(-0.0538034\pi\)
−0.221345 + 0.975195i \(0.571045\pi\)
\(642\) 7.97583 + 70.9136i 0.314781 + 2.79873i
\(643\) −6.61274 + 2.22809i −0.260781 + 0.0878673i −0.446655 0.894706i \(-0.647385\pi\)
0.185874 + 0.982574i \(0.440488\pi\)
\(644\) −3.21318 + 59.2635i −0.126617 + 2.33531i
\(645\) 3.53862 12.9289i 0.139333 0.509075i
\(646\) −22.6304 + 15.3438i −0.890382 + 0.603694i
\(647\) 21.1508 + 5.87249i 0.831524 + 0.230871i 0.657104 0.753800i \(-0.271781\pi\)
0.174420 + 0.984671i \(0.444195\pi\)
\(648\) −21.2490 + 41.5425i −0.834738 + 1.63195i
\(649\) 16.7523 + 6.23333i 0.657585 + 0.244679i
\(650\) 45.1282i 1.77007i
\(651\) 0.144973 + 39.4906i 0.00568193 + 1.54776i
\(652\) 2.66386 + 3.92891i 0.104325 + 0.153868i
\(653\) −2.82124 + 4.68894i −0.110404 + 0.183493i −0.907133 0.420844i \(-0.861734\pi\)
0.796729 + 0.604336i \(0.206562\pi\)
\(654\) −0.701871 3.13379i −0.0274453 0.122541i
\(655\) −3.93219 11.6703i −0.153643 0.455997i
\(656\) −26.1405 4.28552i −1.02062 0.167321i
\(657\) 32.6919 + 8.81886i 1.27543 + 0.344057i
\(658\) 9.52650 23.9097i 0.371382 0.932097i
\(659\) −30.5074 10.2791i −1.18840 0.400418i −0.345463 0.938432i \(-0.612278\pi\)
−0.842936 + 0.538014i \(0.819175\pi\)
\(660\) −3.33265 + 15.4096i −0.129723 + 0.599819i
\(661\) −1.47152 27.1405i −0.0572354 1.05564i −0.876245 0.481865i \(-0.839960\pi\)
0.819010 0.573779i \(-0.194523\pi\)
\(662\) 0.110504 + 0.277345i 0.00429488 + 0.0107793i
\(663\) 2.23056 13.9258i 0.0866277 0.540834i
\(664\) 62.4173 37.5553i 2.42226 1.45743i
\(665\) 12.2713 6.50581i 0.475859 0.252285i
\(666\) −42.5032 + 36.6432i −1.64697 + 1.41989i
\(667\) 11.1654 14.6879i 0.432327 0.568716i
\(668\) 6.80385 5.77924i 0.263249 0.223606i
\(669\) −15.8640 5.28044i −0.613338 0.204154i
\(670\) 15.8670 7.34084i 0.612995 0.283602i
\(671\) 8.32551 8.78913i 0.321403 0.339301i
\(672\) 3.33078 + 2.51276i 0.128488 + 0.0969317i
\(673\) −1.99651 + 9.07023i −0.0769598 + 0.349632i −0.999327 0.0366826i \(-0.988321\pi\)
0.922367 + 0.386314i \(0.126252\pi\)
\(674\) 4.60015 42.2977i 0.177191 1.62925i
\(675\) −17.0573 12.6726i −0.656535 0.487770i
\(676\) −27.8856 + 6.13809i −1.07252 + 0.236080i
\(677\) −8.35172 7.09402i −0.320983 0.272645i 0.472379 0.881395i \(-0.343395\pi\)
−0.793362 + 0.608750i \(0.791671\pi\)
\(678\) −52.8208 + 32.0459i −2.02857 + 1.23072i
\(679\) 0.433070 0.120241i 0.0166197 0.00461444i
\(680\) −5.83640 + 6.87114i −0.223816 + 0.263496i
\(681\) 7.25381 + 13.5616i 0.277967 + 0.519682i
\(682\) −5.91304 54.3696i −0.226422 2.08192i
\(683\) 5.30287 + 0.576722i 0.202909 + 0.0220677i 0.209009 0.977914i \(-0.432976\pi\)
−0.00610012 + 0.999981i \(0.501942\pi\)
\(684\) −70.6246 + 24.3751i −2.70040 + 0.932004i
\(685\) 10.7887 8.20136i 0.412215 0.313358i
\(686\) −35.4816 33.6100i −1.35470 1.28324i
\(687\) 17.1729 14.6957i 0.655189 0.560676i
\(688\) 30.9179 + 20.9629i 1.17873 + 0.799201i
\(689\) 5.69229 + 6.70148i 0.216859 + 0.255306i
\(690\) −22.9467 9.04535i −0.873568 0.344351i
\(691\) −20.8143 + 3.41234i −0.791814 + 0.129811i −0.544099 0.839021i \(-0.683128\pi\)
−0.247716 + 0.968833i \(0.579680\pi\)
\(692\) 3.13195 + 5.90749i 0.119059 + 0.224569i
\(693\) 7.72602 14.8350i 0.293487 0.563535i
\(694\) −44.2016 20.4498i −1.67787 0.776266i
\(695\) −16.4254 + 6.54447i −0.623050 + 0.248246i
\(696\) −8.84983 25.9501i −0.335452 0.983637i
\(697\) −4.90934 + 9.26000i −0.185954 + 0.350747i
\(698\) −7.24691 + 21.5081i −0.274300 + 0.814093i
\(699\) 15.7823 + 1.65783i 0.596941 + 0.0627048i
\(700\) −29.1599 + 27.6218i −1.10214 + 1.04400i
\(701\) 4.93577 30.1068i 0.186421 1.13712i −0.713366 0.700791i \(-0.752830\pi\)
0.899788 0.436328i \(-0.143721\pi\)
\(702\) 23.5020 52.3027i 0.887027 1.97404i
\(703\) −45.9480 2.49123i −1.73296 0.0939585i
\(704\) 13.4161 + 8.07220i 0.505638 + 0.304232i
\(705\) 5.49611 + 4.63381i 0.206995 + 0.174519i
\(706\) −24.4861 + 88.1909i −0.921546 + 3.31911i
\(707\) −3.24373 −0.121993
\(708\) 24.2089 + 48.8702i 0.909824 + 1.83666i
\(709\) 13.9012 0.522070 0.261035 0.965329i \(-0.415936\pi\)
0.261035 + 0.965329i \(0.415936\pi\)
\(710\) 7.97153 28.7108i 0.299166 1.07750i
\(711\) 17.4469 + 7.91681i 0.654310 + 0.296904i
\(712\) −16.1083 9.69205i −0.603685 0.363225i
\(713\) 57.4206 + 3.11325i 2.15042 + 0.116592i
\(714\) 15.4198 10.5377i 0.577071 0.394364i
\(715\) 1.60515 9.79099i 0.0600293 0.366162i
\(716\) 72.6914 68.8570i 2.71661 2.57331i
\(717\) 2.66411 25.3620i 0.0994931 0.947160i
\(718\) −13.9344 + 41.3559i −0.520029 + 1.54339i
\(719\) −24.0236 + 45.3133i −0.895928 + 1.68990i −0.189791 + 0.981824i \(0.560781\pi\)
−0.706137 + 0.708075i \(0.749564\pi\)
\(720\) −10.8580 + 7.47884i −0.404653 + 0.278720i
\(721\) 24.1406 9.61849i 0.899042 0.358211i
\(722\) −40.1401 18.5708i −1.49386 0.691133i
\(723\) 14.1873 + 13.3404i 0.527631 + 0.496136i
\(724\) 13.8495 + 26.1229i 0.514711 + 0.970848i
\(725\) 12.3215 2.02001i 0.457609 0.0750211i
\(726\) 8.76099 22.2254i 0.325151 0.824861i
\(727\) −6.63681 7.81346i −0.246146 0.289785i 0.625190 0.780473i \(-0.285022\pi\)
−0.871336 + 0.490687i \(0.836746\pi\)
\(728\) −45.9405 31.1484i −1.70267 1.15444i
\(729\) 13.1694 + 23.5705i 0.487754 + 0.872981i
\(730\) 19.3103 + 18.2917i 0.714706 + 0.677005i
\(731\) 11.7661 8.94434i 0.435184 0.330818i
\(732\) 36.8766 2.13519i 1.36300 0.0789190i
\(733\) −13.2825 1.44456i −0.490601 0.0533561i −0.140525 0.990077i \(-0.544879\pi\)
−0.350077 + 0.936721i \(0.613844\pi\)
\(734\) −7.43316 68.3468i −0.274363 2.52273i
\(735\) 1.83562 0.981836i 0.0677080 0.0362156i
\(736\) 3.93321 4.63053i 0.144980 0.170684i
\(737\) 16.6345 4.61853i 0.612738 0.170126i
\(738\) −29.0767 + 31.1508i −1.07033 + 1.14668i
\(739\) −4.43109 3.76380i −0.163000 0.138454i 0.562174 0.827019i \(-0.309965\pi\)
−0.725175 + 0.688565i \(0.758241\pi\)
\(740\) −28.9348 + 6.36903i −1.06366 + 0.234130i
\(741\) 43.6142 17.5633i 1.60221 0.645203i
\(742\) −1.25893 + 11.5756i −0.0462166 + 0.424955i
\(743\) −0.933471 + 4.24080i −0.0342457 + 0.155580i −0.990640 0.136497i \(-0.956415\pi\)
0.956395 + 0.292077i \(0.0943465\pi\)
\(744\) 51.4655 68.2201i 1.88682 2.50107i
\(745\) −5.50104 + 5.80738i −0.201543 + 0.212766i
\(746\) −44.4079 + 20.5453i −1.62589 + 0.752216i
\(747\) 1.97290 42.1041i 0.0721845 1.54051i
\(748\) −13.2491 + 11.2539i −0.484435 + 0.411483i
\(749\) 24.1886 31.8196i 0.883833 1.16266i
\(750\) −15.7017 33.6143i −0.573345 1.22742i
\(751\) 34.2533 18.1599i 1.24992 0.662666i 0.293864 0.955847i \(-0.405059\pi\)
0.956057 + 0.293182i \(0.0947140\pi\)
\(752\) −17.1657 + 10.3283i −0.625970 + 0.376633i
\(753\) −28.7675 4.60780i −1.04834 0.167918i
\(754\) 12.4708 + 31.2995i 0.454161 + 1.13986i
\(755\) 0.532169 + 9.81528i 0.0193676 + 0.357215i
\(756\) 48.1808 16.8271i 1.75232 0.611995i
\(757\) −9.95326 3.35364i −0.361757 0.121890i 0.132553 0.991176i \(-0.457683\pi\)
−0.494310 + 0.869286i \(0.664579\pi\)
\(758\) −25.3755 + 63.6877i −0.921680 + 2.31324i
\(759\) −20.9156 12.4802i −0.759190 0.453002i
\(760\) −29.6594 4.86241i −1.07586 0.176378i
\(761\) −7.70780 22.8759i −0.279407 0.829252i −0.991837 0.127509i \(-0.959302\pi\)
0.712430 0.701743i \(-0.247595\pi\)
\(762\) −3.00426 + 0.672861i −0.108833 + 0.0243752i
\(763\) −0.927351 + 1.54127i −0.0335723 + 0.0557977i
\(764\) 34.9486 + 51.5454i 1.26440 + 1.86485i
\(765\) 1.43245 + 5.01605i 0.0517903 + 0.181356i
\(766\) 39.8900i 1.44128i
\(767\) −16.7678 29.9466i −0.605451 1.08131i
\(768\) 15.2811 + 54.2640i 0.551410 + 1.95808i
\(769\) 28.8734 + 8.01665i 1.04120 + 0.289088i 0.745719 0.666260i \(-0.232106\pi\)
0.295482 + 0.955348i \(0.404520\pi\)
\(770\) 10.8750 7.37340i 0.391906 0.265719i
\(771\) 26.7144 + 7.31170i 0.962097 + 0.263325i
\(772\) −1.83590 + 33.8612i −0.0660755 + 1.21869i
\(773\) 24.9488 8.40622i 0.897345 0.302351i 0.167426 &