Properties

Label 138.2.f.a.5.2
Level $138$
Weight $2$
Character 138.5
Analytic conductor $1.102$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 138 = 2 \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 138.f (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.10193554789\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(8\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 5.2
Character \(\chi\) \(=\) 138.5
Dual form 138.2.f.a.83.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.281733 + 0.959493i) q^{2} +(-1.37386 - 1.05476i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(-0.493501 + 3.43237i) q^{5} +(1.39909 - 1.02105i) q^{6} +(-1.02427 + 0.467769i) q^{7} +(0.755750 - 0.654861i) q^{8} +(0.774979 + 2.89817i) q^{9} +O(q^{10})\) \(q+(-0.281733 + 0.959493i) q^{2} +(-1.37386 - 1.05476i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(-0.493501 + 3.43237i) q^{5} +(1.39909 - 1.02105i) q^{6} +(-1.02427 + 0.467769i) q^{7} +(0.755750 - 0.654861i) q^{8} +(0.774979 + 2.89817i) q^{9} +(-3.15430 - 1.44052i) q^{10} +(-5.23357 + 1.53672i) q^{11} +(0.585520 + 1.63008i) q^{12} +(-1.75336 + 3.83932i) q^{13} +(-0.160251 - 1.11457i) q^{14} +(4.29832 - 4.19508i) q^{15} +(0.415415 + 0.909632i) q^{16} +(5.62836 - 3.61713i) q^{17} +(-2.99911 - 0.0729229i) q^{18} +(0.292438 - 0.455042i) q^{19} +(2.27084 - 2.62069i) q^{20} +(1.90059 + 0.437708i) q^{21} -5.45452i q^{22} +(4.50939 + 1.63260i) q^{23} +(-1.72901 + 0.102555i) q^{24} +(-6.74018 - 1.97910i) q^{25} +(-3.18982 - 2.76400i) q^{26} +(1.99215 - 4.79910i) q^{27} +(1.11457 + 0.160251i) q^{28} +(-0.172034 - 0.267690i) q^{29} +(2.81417 + 5.30610i) q^{30} +(-0.725208 - 0.836935i) q^{31} +(-0.989821 + 0.142315i) q^{32} +(8.81105 + 3.40891i) q^{33} +(1.88492 + 6.41944i) q^{34} +(-1.10008 - 3.74653i) q^{35} +(0.914917 - 2.85708i) q^{36} +(2.43391 - 0.349943i) q^{37} +(0.354220 + 0.408792i) q^{38} +(6.45841 - 3.42532i) q^{39} +(1.87476 + 2.91719i) q^{40} +(-4.67346 - 0.671942i) q^{41} +(-0.955435 + 1.70028i) q^{42} +(5.53903 + 4.79960i) q^{43} +(5.23357 + 1.53672i) q^{44} +(-10.3301 + 1.22977i) q^{45} +(-2.83691 + 3.86677i) q^{46} +4.17207i q^{47} +(0.388718 - 1.68787i) q^{48} +(-3.75370 + 4.33200i) q^{49} +(3.79786 - 5.90958i) q^{50} +(-11.5478 - 0.967124i) q^{51} +(3.55071 - 2.28190i) q^{52} +(3.81724 + 8.35859i) q^{53} +(4.04344 + 3.26352i) q^{54} +(-2.69181 - 18.7219i) q^{55} +(-0.467769 + 1.02427i) q^{56} +(-0.881726 + 0.316713i) q^{57} +(0.305314 - 0.0896482i) q^{58} +(-2.19802 - 1.00380i) q^{59} +(-5.88400 + 1.20528i) q^{60} +(1.32902 - 1.15160i) q^{61} +(1.00735 - 0.460040i) q^{62} +(-2.14947 - 2.60601i) q^{63} +(0.142315 - 0.989821i) q^{64} +(-12.3127 - 7.91289i) q^{65} +(-5.75319 + 7.49374i) q^{66} +(1.38479 - 4.71615i) q^{67} -6.69045 q^{68} +(-4.47328 - 6.99927i) q^{69} +3.90470 q^{70} +(-2.57398 + 8.76616i) q^{71} +(2.48359 + 1.68279i) q^{72} +(-8.16392 - 5.24663i) q^{73} +(-0.349943 + 2.43391i) q^{74} +(7.17260 + 9.82825i) q^{75} +(-0.492028 + 0.224702i) q^{76} +(4.64177 - 4.02212i) q^{77} +(1.46702 + 7.16183i) q^{78} +(10.4223 + 4.75969i) q^{79} +(-3.32720 + 0.976955i) q^{80} +(-7.79882 + 4.49205i) q^{81} +(1.96139 - 4.29485i) q^{82} +(0.447423 + 3.11189i) q^{83} +(-1.36223 - 1.39576i) q^{84} +(9.63774 + 21.1037i) q^{85} +(-6.16571 + 3.96246i) q^{86} +(-0.0459972 + 0.549221i) q^{87} +(-2.94894 + 4.58863i) q^{88} +(1.93059 - 2.22803i) q^{89} +(1.73036 - 10.2581i) q^{90} -4.75268i q^{91} +(-2.91089 - 3.81139i) q^{92} +(0.113572 + 1.91475i) q^{93} +(-4.00307 - 1.17541i) q^{94} +(1.41756 + 1.22832i) q^{95} +(1.50998 + 0.848500i) q^{96} +(14.8791 + 2.13929i) q^{97} +(-3.09898 - 4.82211i) q^{98} +(-8.50958 - 13.9769i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80 q + 4 q^{3} + 8 q^{4} + 4 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 80 q + 4 q^{3} + 8 q^{4} + 4 q^{6} - 4 q^{12} + 8 q^{13} - 22 q^{15} - 8 q^{16} - 28 q^{18} - 66 q^{21} - 4 q^{24} - 48 q^{25} - 38 q^{27} - 44 q^{30} - 16 q^{31} - 22 q^{33} - 44 q^{37} - 24 q^{39} - 44 q^{43} - 16 q^{46} + 4 q^{48} - 76 q^{49} - 8 q^{52} - 6 q^{54} + 64 q^{55} + 66 q^{57} + 36 q^{58} + 22 q^{60} + 88 q^{61} + 110 q^{63} + 8 q^{64} + 88 q^{66} + 44 q^{67} + 82 q^{69} + 112 q^{70} + 28 q^{72} + 52 q^{73} + 136 q^{75} + 82 q^{78} + 88 q^{79} + 36 q^{81} + 44 q^{82} + 22 q^{84} + 20 q^{85} - 10 q^{87} + 8 q^{93} - 56 q^{94} + 4 q^{96} - 132 q^{97} - 66 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.281733 + 0.959493i −0.199215 + 0.678464i
\(3\) −1.37386 1.05476i −0.793198 0.608964i
\(4\) −0.841254 0.540641i −0.420627 0.270320i
\(5\) −0.493501 + 3.43237i −0.220700 + 1.53500i 0.514699 + 0.857371i \(0.327904\pi\)
−0.735400 + 0.677634i \(0.763006\pi\)
\(6\) 1.39909 1.02105i 0.571177 0.416842i
\(7\) −1.02427 + 0.467769i −0.387138 + 0.176800i −0.599470 0.800398i \(-0.704622\pi\)
0.212331 + 0.977198i \(0.431894\pi\)
\(8\) 0.755750 0.654861i 0.267198 0.231528i
\(9\) 0.774979 + 2.89817i 0.258326 + 0.966058i
\(10\) −3.15430 1.44052i −0.997478 0.455533i
\(11\) −5.23357 + 1.53672i −1.57798 + 0.463337i −0.949312 0.314335i \(-0.898218\pi\)
−0.628669 + 0.777673i \(0.716400\pi\)
\(12\) 0.585520 + 1.63008i 0.169025 + 0.470564i
\(13\) −1.75336 + 3.83932i −0.486294 + 1.06484i 0.494390 + 0.869240i \(0.335391\pi\)
−0.980685 + 0.195596i \(0.937336\pi\)
\(14\) −0.160251 1.11457i −0.0428288 0.297881i
\(15\) 4.29832 4.19508i 1.10982 1.08316i
\(16\) 0.415415 + 0.909632i 0.103854 + 0.227408i
\(17\) 5.62836 3.61713i 1.36508 0.877283i 0.366491 0.930421i \(-0.380559\pi\)
0.998587 + 0.0531388i \(0.0169226\pi\)
\(18\) −2.99911 0.0729229i −0.706898 0.0171881i
\(19\) 0.292438 0.455042i 0.0670898 0.104394i −0.806088 0.591796i \(-0.798419\pi\)
0.873178 + 0.487402i \(0.162055\pi\)
\(20\) 2.27084 2.62069i 0.507775 0.586004i
\(21\) 1.90059 + 0.437708i 0.414742 + 0.0955157i
\(22\) 5.45452i 1.16291i
\(23\) 4.50939 + 1.63260i 0.940273 + 0.340420i
\(24\) −1.72901 + 0.102555i −0.352933 + 0.0209340i
\(25\) −6.74018 1.97910i −1.34804 0.395819i
\(26\) −3.18982 2.76400i −0.625576 0.542064i
\(27\) 1.99215 4.79910i 0.383390 0.923586i
\(28\) 1.11457 + 0.160251i 0.210634 + 0.0302845i
\(29\) −0.172034 0.267690i −0.0319458 0.0497087i 0.824913 0.565259i \(-0.191224\pi\)
−0.856859 + 0.515550i \(0.827587\pi\)
\(30\) 2.81417 + 5.30610i 0.513795 + 0.968756i
\(31\) −0.725208 0.836935i −0.130251 0.150318i 0.686877 0.726773i \(-0.258981\pi\)
−0.817129 + 0.576455i \(0.804435\pi\)
\(32\) −0.989821 + 0.142315i −0.174977 + 0.0251579i
\(33\) 8.81105 + 3.40891i 1.53381 + 0.593415i
\(34\) 1.88492 + 6.41944i 0.323261 + 1.10092i
\(35\) −1.10008 3.74653i −0.185947 0.633279i
\(36\) 0.914917 2.85708i 0.152486 0.476181i
\(37\) 2.43391 0.349943i 0.400132 0.0575303i 0.0606887 0.998157i \(-0.480670\pi\)
0.339444 + 0.940626i \(0.389761\pi\)
\(38\) 0.354220 + 0.408792i 0.0574621 + 0.0663148i
\(39\) 6.45841 3.42532i 1.03417 0.548490i
\(40\) 1.87476 + 2.91719i 0.296426 + 0.461248i
\(41\) −4.67346 0.671942i −0.729872 0.104940i −0.232647 0.972561i \(-0.574739\pi\)
−0.497225 + 0.867621i \(0.665648\pi\)
\(42\) −0.955435 + 1.70028i −0.147427 + 0.262360i
\(43\) 5.53903 + 4.79960i 0.844694 + 0.731932i 0.965405 0.260756i \(-0.0839718\pi\)
−0.120710 + 0.992688i \(0.538517\pi\)
\(44\) 5.23357 + 1.53672i 0.788991 + 0.231669i
\(45\) −10.3301 + 1.22977i −1.53992 + 0.183323i
\(46\) −2.83691 + 3.86677i −0.418279 + 0.570125i
\(47\) 4.17207i 0.608558i 0.952583 + 0.304279i \(0.0984156\pi\)
−0.952583 + 0.304279i \(0.901584\pi\)
\(48\) 0.388718 1.68787i 0.0561066 0.243623i
\(49\) −3.75370 + 4.33200i −0.536243 + 0.618857i
\(50\) 3.79786 5.90958i 0.537098 0.835741i
\(51\) −11.5478 0.967124i −1.61701 0.135424i
\(52\) 3.55071 2.28190i 0.492395 0.316443i
\(53\) 3.81724 + 8.35859i 0.524338 + 1.14814i 0.967771 + 0.251833i \(0.0810334\pi\)
−0.443432 + 0.896308i \(0.646239\pi\)
\(54\) 4.04344 + 3.26352i 0.550243 + 0.444109i
\(55\) −2.69181 18.7219i −0.362964 2.52447i
\(56\) −0.467769 + 1.02427i −0.0625083 + 0.136874i
\(57\) −0.881726 + 0.316713i −0.116788 + 0.0419497i
\(58\) 0.305314 0.0896482i 0.0400897 0.0117714i
\(59\) −2.19802 1.00380i −0.286158 0.130684i 0.267165 0.963651i \(-0.413913\pi\)
−0.553323 + 0.832967i \(0.686641\pi\)
\(60\) −5.88400 + 1.20528i −0.759622 + 0.155600i
\(61\) 1.32902 1.15160i 0.170164 0.147448i −0.565616 0.824669i \(-0.691361\pi\)
0.735779 + 0.677221i \(0.236816\pi\)
\(62\) 1.00735 0.460040i 0.127933 0.0584252i
\(63\) −2.14947 2.60601i −0.270807 0.328326i
\(64\) 0.142315 0.989821i 0.0177894 0.123728i
\(65\) −12.3127 7.91289i −1.52720 0.981473i
\(66\) −5.75319 + 7.49374i −0.708168 + 0.922416i
\(67\) 1.38479 4.71615i 0.169179 0.576170i −0.830634 0.556819i \(-0.812022\pi\)
0.999813 0.0193510i \(-0.00616001\pi\)
\(68\) −6.69045 −0.811336
\(69\) −4.47328 6.99927i −0.538520 0.842613i
\(70\) 3.90470 0.466701
\(71\) −2.57398 + 8.76616i −0.305475 + 1.04035i 0.653516 + 0.756913i \(0.273293\pi\)
−0.958990 + 0.283439i \(0.908525\pi\)
\(72\) 2.48359 + 1.68279i 0.292694 + 0.198319i
\(73\) −8.16392 5.24663i −0.955514 0.614072i −0.0327610 0.999463i \(-0.510430\pi\)
−0.922753 + 0.385392i \(0.874066\pi\)
\(74\) −0.349943 + 2.43391i −0.0406801 + 0.282936i
\(75\) 7.17260 + 9.82825i 0.828220 + 1.13487i
\(76\) −0.492028 + 0.224702i −0.0564395 + 0.0257751i
\(77\) 4.64177 4.02212i 0.528979 0.458363i
\(78\) 1.46702 + 7.16183i 0.166108 + 0.810917i
\(79\) 10.4223 + 4.75969i 1.17260 + 0.535507i 0.903911 0.427721i \(-0.140683\pi\)
0.268686 + 0.963228i \(0.413411\pi\)
\(80\) −3.32720 + 0.976955i −0.371993 + 0.109227i
\(81\) −7.79882 + 4.49205i −0.866535 + 0.499116i
\(82\) 1.96139 4.29485i 0.216599 0.474286i
\(83\) 0.447423 + 3.11189i 0.0491110 + 0.341575i 0.999531 + 0.0306069i \(0.00974400\pi\)
−0.950420 + 0.310968i \(0.899347\pi\)
\(84\) −1.36223 1.39576i −0.148632 0.152290i
\(85\) 9.63774 + 21.1037i 1.04536 + 2.28902i
\(86\) −6.16571 + 3.96246i −0.664865 + 0.427283i
\(87\) −0.0459972 + 0.549221i −0.00493142 + 0.0588827i
\(88\) −2.94894 + 4.58863i −0.314358 + 0.489150i
\(89\) 1.93059 2.22803i 0.204643 0.236170i −0.644146 0.764903i \(-0.722787\pi\)
0.848789 + 0.528732i \(0.177333\pi\)
\(90\) 1.73036 10.2581i 0.182396 1.08130i
\(91\) 4.75268i 0.498216i
\(92\) −2.91089 3.81139i −0.303482 0.397365i
\(93\) 0.113572 + 1.91475i 0.0117768 + 0.198550i
\(94\) −4.00307 1.17541i −0.412885 0.121234i
\(95\) 1.41756 + 1.22832i 0.145438 + 0.126023i
\(96\) 1.50998 + 0.848500i 0.154112 + 0.0865996i
\(97\) 14.8791 + 2.13929i 1.51074 + 0.217212i 0.847340 0.531051i \(-0.178203\pi\)
0.663402 + 0.748263i \(0.269112\pi\)
\(98\) −3.09898 4.82211i −0.313045 0.487107i
\(99\) −8.50958 13.9769i −0.855245 1.40473i
\(100\) 4.60022 + 5.30894i 0.460022 + 0.530894i
\(101\) 12.0192 1.72810i 1.19596 0.171953i 0.484570 0.874753i \(-0.338976\pi\)
0.711387 + 0.702800i \(0.248067\pi\)
\(102\) 4.18133 10.8075i 0.414013 1.07011i
\(103\) −0.612755 2.08685i −0.0603766 0.205624i 0.923781 0.382922i \(-0.125082\pi\)
−0.984157 + 0.177299i \(0.943264\pi\)
\(104\) 1.18912 + 4.04977i 0.116603 + 0.397113i
\(105\) −2.44032 + 6.30752i −0.238151 + 0.615551i
\(106\) −9.09545 + 1.30773i −0.883428 + 0.127018i
\(107\) 3.98158 + 4.59498i 0.384913 + 0.444214i 0.914832 0.403835i \(-0.132323\pi\)
−0.529918 + 0.848049i \(0.677777\pi\)
\(108\) −4.27049 + 2.96022i −0.410928 + 0.284847i
\(109\) −4.62278 7.19318i −0.442782 0.688982i 0.546094 0.837724i \(-0.316114\pi\)
−0.988876 + 0.148742i \(0.952478\pi\)
\(110\) 18.7219 + 2.69181i 1.78507 + 0.256654i
\(111\) −3.71296 2.08641i −0.352418 0.198033i
\(112\) −0.850996 0.737392i −0.0804116 0.0696770i
\(113\) −2.36312 0.693874i −0.222303 0.0652742i 0.168684 0.985670i \(-0.446048\pi\)
−0.390988 + 0.920396i \(0.627866\pi\)
\(114\) −0.0554730 0.935239i −0.00519552 0.0875931i
\(115\) −7.82907 + 14.6722i −0.730065 + 1.36819i
\(116\) 0.318203i 0.0295444i
\(117\) −12.4858 2.10614i −1.15432 0.194713i
\(118\) 1.58240 1.82618i 0.145672 0.168114i
\(119\) −4.07299 + 6.33770i −0.373371 + 0.580976i
\(120\) 0.501262 5.98523i 0.0457587 0.546374i
\(121\) 15.7750 10.1380i 1.43409 0.921634i
\(122\) 0.730527 + 1.59963i 0.0661388 + 0.144824i
\(123\) 5.71194 + 5.85252i 0.515029 + 0.527704i
\(124\) 0.157603 + 1.09615i 0.0141531 + 0.0984373i
\(125\) 2.91667 6.38662i 0.260875 0.571237i
\(126\) 3.10602 1.32820i 0.276706 0.118326i
\(127\) 6.54035 1.92042i 0.580362 0.170410i 0.0216416 0.999766i \(-0.493111\pi\)
0.558720 + 0.829356i \(0.311293\pi\)
\(128\) 0.909632 + 0.415415i 0.0804009 + 0.0367178i
\(129\) −2.54744 12.4363i −0.224290 1.09496i
\(130\) 11.0612 9.58463i 0.970136 0.840627i
\(131\) −16.0068 + 7.31006i −1.39852 + 0.638683i −0.964949 0.262436i \(-0.915474\pi\)
−0.433571 + 0.901119i \(0.642747\pi\)
\(132\) −5.56933 7.63137i −0.484748 0.664226i
\(133\) −0.0866811 + 0.602880i −0.00751620 + 0.0522763i
\(134\) 4.13498 + 2.65739i 0.357207 + 0.229563i
\(135\) 15.4892 + 9.20617i 1.33309 + 0.792341i
\(136\) 1.88492 6.41944i 0.161630 0.550462i
\(137\) 13.9061 1.18808 0.594041 0.804435i \(-0.297532\pi\)
0.594041 + 0.804435i \(0.297532\pi\)
\(138\) 7.97602 2.32016i 0.678964 0.197505i
\(139\) −14.8405 −1.25875 −0.629377 0.777100i \(-0.716690\pi\)
−0.629377 + 0.777100i \(0.716690\pi\)
\(140\) −1.10008 + 3.74653i −0.0929737 + 0.316640i
\(141\) 4.40051 5.73183i 0.370590 0.482707i
\(142\) −7.68589 4.93942i −0.644986 0.414507i
\(143\) 3.27639 22.7878i 0.273985 1.90561i
\(144\) −2.31433 + 1.90889i −0.192861 + 0.159074i
\(145\) 1.00371 0.458379i 0.0833535 0.0380663i
\(146\) 7.33415 6.35507i 0.606978 0.525950i
\(147\) 9.72626 1.99232i 0.802208 0.164324i
\(148\) −2.23673 1.02148i −0.183858 0.0839651i
\(149\) 3.31083 0.972148i 0.271234 0.0796415i −0.143287 0.989681i \(-0.545767\pi\)
0.414521 + 0.910040i \(0.363949\pi\)
\(150\) −11.4509 + 4.11312i −0.934961 + 0.335835i
\(151\) −1.88922 + 4.13680i −0.153742 + 0.336648i −0.970794 0.239917i \(-0.922880\pi\)
0.817051 + 0.576565i \(0.195607\pi\)
\(152\) −0.0769794 0.535404i −0.00624386 0.0434270i
\(153\) 14.8449 + 13.5088i 1.20014 + 1.09212i
\(154\) 2.55146 + 5.58691i 0.205602 + 0.450206i
\(155\) 3.23056 2.07616i 0.259485 0.166761i
\(156\) −7.28503 0.610120i −0.583269 0.0488487i
\(157\) −8.68042 + 13.5070i −0.692773 + 1.07798i 0.299523 + 0.954089i \(0.403172\pi\)
−0.992296 + 0.123887i \(0.960464\pi\)
\(158\) −7.50318 + 8.65914i −0.596921 + 0.688884i
\(159\) 3.57192 15.5098i 0.283272 1.23001i
\(160\) 3.46767i 0.274143i
\(161\) −5.38252 + 0.437132i −0.424202 + 0.0344508i
\(162\) −2.11291 8.74846i −0.166006 0.687344i
\(163\) −6.19048 1.81769i −0.484876 0.142372i 0.0301527 0.999545i \(-0.490401\pi\)
−0.515029 + 0.857173i \(0.672219\pi\)
\(164\) 3.56829 + 3.09194i 0.278636 + 0.241440i
\(165\) −16.0489 + 28.5605i −1.24941 + 2.22343i
\(166\) −3.11189 0.447423i −0.241530 0.0347267i
\(167\) −5.40295 8.40716i −0.418093 0.650565i 0.566775 0.823873i \(-0.308191\pi\)
−0.984868 + 0.173307i \(0.944555\pi\)
\(168\) 1.72301 0.913823i 0.132933 0.0705030i
\(169\) −3.15292 3.63866i −0.242532 0.279897i
\(170\) −22.9641 + 3.30174i −1.76127 + 0.253232i
\(171\) 1.54542 + 0.494887i 0.118181 + 0.0378450i
\(172\) −2.06487 7.03231i −0.157445 0.536208i
\(173\) −6.48288 22.0787i −0.492884 1.67861i −0.711409 0.702778i \(-0.751943\pi\)
0.218525 0.975831i \(-0.429875\pi\)
\(174\) −0.514015 0.198868i −0.0389674 0.0150761i
\(175\) 7.82954 1.12572i 0.591858 0.0850963i
\(176\) −3.57195 4.12225i −0.269246 0.310726i
\(177\) 1.96101 + 3.69747i 0.147398 + 0.277919i
\(178\) 1.59386 + 2.48010i 0.119465 + 0.185891i
\(179\) 13.9699 + 2.00857i 1.04416 + 0.150127i 0.642988 0.765876i \(-0.277694\pi\)
0.401170 + 0.916004i \(0.368604\pi\)
\(180\) 9.35507 + 4.55031i 0.697285 + 0.339160i
\(181\) −3.24823 2.81461i −0.241439 0.209208i 0.525733 0.850650i \(-0.323791\pi\)
−0.767172 + 0.641442i \(0.778337\pi\)
\(182\) 4.56016 + 1.33898i 0.338021 + 0.0992520i
\(183\) −3.04055 + 0.180348i −0.224764 + 0.0133317i
\(184\) 4.47710 1.71919i 0.330056 0.126740i
\(185\) 8.52679i 0.626902i
\(186\) −1.86918 0.430476i −0.137055 0.0315640i
\(187\) −23.8979 + 27.5797i −1.74759 + 2.01683i
\(188\) 2.25559 3.50977i 0.164506 0.255976i
\(189\) 0.204362 + 5.84745i 0.0148652 + 0.425339i
\(190\) −1.57793 + 1.01408i −0.114475 + 0.0735689i
\(191\) −3.52963 7.72880i −0.255395 0.559237i 0.737891 0.674919i \(-0.235822\pi\)
−0.993286 + 0.115683i \(0.963094\pi\)
\(192\) −1.23954 + 1.20977i −0.0894562 + 0.0873075i
\(193\) 0.171980 + 1.19615i 0.0123794 + 0.0861006i 0.995075 0.0991299i \(-0.0316059\pi\)
−0.982695 + 0.185230i \(0.940697\pi\)
\(194\) −6.24456 + 13.6737i −0.448333 + 0.981712i
\(195\) 8.56974 + 23.8581i 0.613692 + 1.70851i
\(196\) 5.49987 1.61491i 0.392848 0.115351i
\(197\) −0.0466277 0.0212941i −0.00332208 0.00151714i 0.413753 0.910389i \(-0.364218\pi\)
−0.417075 + 0.908872i \(0.636945\pi\)
\(198\) 15.8081 4.22714i 1.12344 0.300410i
\(199\) 12.7882 11.0810i 0.906531 0.785514i −0.0707424 0.997495i \(-0.522537\pi\)
0.977274 + 0.211981i \(0.0679914\pi\)
\(200\) −6.38992 + 2.91818i −0.451836 + 0.206346i
\(201\) −6.87689 + 5.01872i −0.485059 + 0.353993i
\(202\) −1.72810 + 12.0192i −0.121589 + 0.845669i
\(203\) 0.301426 + 0.193715i 0.0211560 + 0.0135961i
\(204\) 9.19173 + 7.05679i 0.643550 + 0.494074i
\(205\) 4.61271 15.7095i 0.322166 1.09720i
\(206\) 2.17495 0.151536
\(207\) −1.23687 + 14.3342i −0.0859682 + 0.996298i
\(208\) −4.22074 −0.292656
\(209\) −0.831224 + 2.83089i −0.0574969 + 0.195817i
\(210\) −5.36450 4.11850i −0.370186 0.284204i
\(211\) 9.41085 + 6.04799i 0.647870 + 0.416361i 0.822887 0.568205i \(-0.192362\pi\)
−0.175018 + 0.984565i \(0.555998\pi\)
\(212\) 1.30773 9.09545i 0.0898152 0.624678i
\(213\) 12.7824 9.32855i 0.875838 0.639182i
\(214\) −5.53059 + 2.52574i −0.378064 + 0.172656i
\(215\) −19.2075 + 16.6434i −1.30994 + 1.13507i
\(216\) −1.63717 4.93150i −0.111395 0.335546i
\(217\) 1.13430 + 0.518019i 0.0770015 + 0.0351654i
\(218\) 8.20419 2.40897i 0.555658 0.163156i
\(219\) 5.68216 + 15.8191i 0.383965 + 1.06895i
\(220\) −7.85735 + 17.2052i −0.529743 + 1.15997i
\(221\) 4.01878 + 27.9512i 0.270332 + 1.88020i
\(222\) 3.04795 2.97475i 0.204565 0.199652i
\(223\) −6.16749 13.5049i −0.413006 0.904356i −0.995784 0.0917254i \(-0.970762\pi\)
0.582779 0.812631i \(-0.301965\pi\)
\(224\) 0.947276 0.608777i 0.0632925 0.0406756i
\(225\) 0.512264 21.0680i 0.0341509 1.40453i
\(226\) 1.33153 2.07191i 0.0885724 0.137821i
\(227\) 4.69859 5.42246i 0.311856 0.359901i −0.578085 0.815977i \(-0.696200\pi\)
0.889941 + 0.456075i \(0.150745\pi\)
\(228\) 0.912984 + 0.210261i 0.0604638 + 0.0139249i
\(229\) 8.31850i 0.549702i −0.961487 0.274851i \(-0.911371\pi\)
0.961487 0.274851i \(-0.0886285\pi\)
\(230\) −11.8722 11.6456i −0.782830 0.767887i
\(231\) −10.6195 + 0.629887i −0.698712 + 0.0414435i
\(232\) −0.305314 0.0896482i −0.0200448 0.00588569i
\(233\) 0.846742 + 0.733706i 0.0554719 + 0.0480667i 0.682156 0.731207i \(-0.261043\pi\)
−0.626684 + 0.779274i \(0.715588\pi\)
\(234\) 5.53850 11.3867i 0.362063 0.744372i
\(235\) −14.3201 2.05892i −0.934140 0.134309i
\(236\) 1.30640 + 2.03280i 0.0850393 + 0.132324i
\(237\) −9.29842 17.5321i −0.603997 1.13883i
\(238\) −4.93348 5.69354i −0.319790 0.369058i
\(239\) −5.10519 + 0.734016i −0.330227 + 0.0474795i −0.305434 0.952213i \(-0.598802\pi\)
−0.0247928 + 0.999693i \(0.507893\pi\)
\(240\) 5.60156 + 2.16719i 0.361579 + 0.139892i
\(241\) −2.93330 9.98989i −0.188950 0.643506i −0.998412 0.0563329i \(-0.982059\pi\)
0.809462 0.587173i \(-0.199759\pi\)
\(242\) 5.28298 + 17.9922i 0.339603 + 1.15658i
\(243\) 15.4525 + 2.05441i 0.991278 + 0.131790i
\(244\) −1.74065 + 0.250267i −0.111434 + 0.0160217i
\(245\) −13.0166 15.0219i −0.831600 0.959717i
\(246\) −7.22469 + 3.83173i −0.460629 + 0.244302i
\(247\) 1.23430 + 1.92061i 0.0785368 + 0.122206i
\(248\) −1.09615 0.157603i −0.0696057 0.0100078i
\(249\) 2.66759 4.74722i 0.169052 0.300843i
\(250\) 5.30620 + 4.59784i 0.335593 + 0.290793i
\(251\) −22.5777 6.62941i −1.42509 0.418445i −0.523869 0.851799i \(-0.675512\pi\)
−0.901224 + 0.433354i \(0.857330\pi\)
\(252\) 0.399332 + 3.35440i 0.0251556 + 0.211307i
\(253\) −26.1091 1.61466i −1.64146 0.101513i
\(254\) 6.81646i 0.427703i
\(255\) 9.01836 39.1590i 0.564752 2.45223i
\(256\) −0.654861 + 0.755750i −0.0409288 + 0.0472343i
\(257\) 13.2691 20.6471i 0.827702 1.28793i −0.127459 0.991844i \(-0.540682\pi\)
0.955161 0.296086i \(-0.0956816\pi\)
\(258\) 12.6502 + 1.05946i 0.787570 + 0.0659588i
\(259\) −2.32929 + 1.49695i −0.144735 + 0.0930157i
\(260\) 6.08007 + 13.3135i 0.377070 + 0.825668i
\(261\) 0.642488 0.706037i 0.0397690 0.0437026i
\(262\) −2.50431 17.4179i −0.154717 1.07608i
\(263\) −6.38077 + 13.9719i −0.393455 + 0.861547i 0.604437 + 0.796653i \(0.293398\pi\)
−0.997892 + 0.0648938i \(0.979329\pi\)
\(264\) 8.89131 3.19373i 0.547222 0.196560i
\(265\) −30.5736 + 8.97723i −1.87812 + 0.551467i
\(266\) −0.554038 0.253021i −0.0339703 0.0155137i
\(267\) −5.00239 + 1.02469i −0.306141 + 0.0627098i
\(268\) −3.71470 + 3.21881i −0.226912 + 0.196620i
\(269\) 18.9814 8.66850i 1.15731 0.528528i 0.258136 0.966109i \(-0.416892\pi\)
0.899179 + 0.437581i \(0.144165\pi\)
\(270\) −13.1971 + 12.2681i −0.803148 + 0.746610i
\(271\) −3.37020 + 23.4402i −0.204725 + 1.42389i 0.585299 + 0.810818i \(0.300977\pi\)
−0.790024 + 0.613076i \(0.789932\pi\)
\(272\) 5.62836 + 3.61713i 0.341270 + 0.219321i
\(273\) −5.01291 + 6.52951i −0.303395 + 0.395184i
\(274\) −3.91781 + 13.3429i −0.236684 + 0.806071i
\(275\) 38.3165 2.31057
\(276\) −0.0209289 + 8.30660i −0.00125977 + 0.499998i
\(277\) 33.1250 1.99029 0.995145 0.0984225i \(-0.0313797\pi\)
0.995145 + 0.0984225i \(0.0313797\pi\)
\(278\) 4.18105 14.2393i 0.250763 0.854019i
\(279\) 1.86356 2.75039i 0.111568 0.164661i
\(280\) −3.28484 2.11104i −0.196307 0.126159i
\(281\) −2.41184 + 16.7747i −0.143878 + 1.00070i 0.782109 + 0.623141i \(0.214144\pi\)
−0.925988 + 0.377554i \(0.876765\pi\)
\(282\) 4.25989 + 5.83711i 0.253672 + 0.347595i
\(283\) 20.1373 9.19639i 1.19704 0.546669i 0.285696 0.958320i \(-0.407775\pi\)
0.911341 + 0.411652i \(0.135048\pi\)
\(284\) 6.90471 5.98296i 0.409719 0.355024i
\(285\) −0.651945 3.18271i −0.0386179 0.188528i
\(286\) 20.9416 + 9.56373i 1.23831 + 0.565515i
\(287\) 5.10121 1.49785i 0.301115 0.0884153i
\(288\) −1.17954 2.75838i −0.0695053 0.162539i
\(289\) 11.5328 25.2533i 0.678399 1.48549i
\(290\) 0.157034 + 1.09219i 0.00922133 + 0.0641357i
\(291\) −18.1853 18.6329i −1.06604 1.09228i
\(292\) 4.03138 + 8.82749i 0.235919 + 0.516590i
\(293\) 22.7630 14.6289i 1.32983 0.854631i 0.333715 0.942674i \(-0.391698\pi\)
0.996117 + 0.0880433i \(0.0280614\pi\)
\(294\) −0.828586 + 9.89358i −0.0483241 + 0.577005i
\(295\) 4.53016 7.04906i 0.263756 0.410412i
\(296\) 1.61026 1.85834i 0.0935946 0.108014i
\(297\) −3.05124 + 28.1778i −0.177051 + 1.63504i
\(298\) 3.45061i 0.199888i
\(299\) −14.1746 + 14.4505i −0.819741 + 0.835692i
\(300\) −0.720422 12.1458i −0.0415936 0.701241i
\(301\) −7.91858 2.32510i −0.456419 0.134017i
\(302\) −3.43698 2.97816i −0.197776 0.171374i
\(303\) −18.3354 10.3032i −1.05334 0.591902i
\(304\) 0.535404 + 0.0769794i 0.0307075 + 0.00441507i
\(305\) 3.29686 + 5.13001i 0.188778 + 0.293744i
\(306\) −17.1439 + 10.4377i −0.980050 + 0.596686i
\(307\) 15.3903 + 17.7613i 0.878369 + 1.01369i 0.999778 + 0.0210896i \(0.00671352\pi\)
−0.121408 + 0.992603i \(0.538741\pi\)
\(308\) −6.07943 + 0.874090i −0.346408 + 0.0498059i
\(309\) −1.35928 + 3.51335i −0.0773268 + 0.199868i
\(310\) 1.08190 + 3.68462i 0.0614480 + 0.209273i
\(311\) −5.36040 18.2559i −0.303961 1.03519i −0.959891 0.280373i \(-0.909542\pi\)
0.655930 0.754821i \(-0.272276\pi\)
\(312\) 2.63784 6.81804i 0.149338 0.385996i
\(313\) −30.0771 + 4.32443i −1.70006 + 0.244431i −0.922945 0.384932i \(-0.874225\pi\)
−0.777111 + 0.629363i \(0.783316\pi\)
\(314\) −10.5143 12.1342i −0.593357 0.684770i
\(315\) 10.0056 6.09170i 0.563749 0.343229i
\(316\) −6.19449 9.63881i −0.348467 0.542226i
\(317\) −21.3003 3.06252i −1.19634 0.172008i −0.484784 0.874634i \(-0.661102\pi\)
−0.711559 + 0.702626i \(0.752011\pi\)
\(318\) 13.8752 + 7.79685i 0.778083 + 0.437226i
\(319\) 1.31171 + 1.13661i 0.0734418 + 0.0636377i
\(320\) 3.32720 + 0.976955i 0.185996 + 0.0546135i
\(321\) −0.623538 10.5125i −0.0348025 0.586748i
\(322\) 1.09701 5.28765i 0.0611338 0.294669i
\(323\) 3.61893i 0.201362i
\(324\) 8.98936 + 0.437408i 0.499409 + 0.0243005i
\(325\) 19.4163 22.4076i 1.07702 1.24295i
\(326\) 3.48812 5.42762i 0.193189 0.300608i
\(327\) −1.23601 + 14.7583i −0.0683513 + 0.816137i
\(328\) −3.97200 + 2.55265i −0.219317 + 0.140946i
\(329\) −1.95157 4.27333i −0.107593 0.235596i
\(330\) −22.8821 23.4453i −1.25962 1.29062i
\(331\) 3.52974 + 24.5499i 0.194012 + 1.34938i 0.821256 + 0.570560i \(0.193274\pi\)
−0.627244 + 0.778823i \(0.715817\pi\)
\(332\) 1.30602 2.85979i 0.0716772 0.156951i
\(333\) 2.90043 + 6.78269i 0.158942 + 0.371689i
\(334\) 9.58880 2.81552i 0.524676 0.154059i
\(335\) 15.5042 + 7.08053i 0.847085 + 0.386851i
\(336\) 0.391380 + 1.91067i 0.0213515 + 0.104235i
\(337\) 11.4915 9.95745i 0.625982 0.542417i −0.283070 0.959099i \(-0.591353\pi\)
0.909052 + 0.416683i \(0.136807\pi\)
\(338\) 4.37955 2.00007i 0.238216 0.108790i
\(339\) 2.51472 + 3.44580i 0.136581 + 0.187150i
\(340\) 3.30174 22.9641i 0.179062 1.24540i
\(341\) 5.08156 + 3.26572i 0.275182 + 0.176849i
\(342\) −0.910237 + 1.34340i −0.0492200 + 0.0726426i
\(343\) 4.03911 13.7559i 0.218091 0.742751i
\(344\) 7.32919 0.395163
\(345\) 26.2317 11.8998i 1.41227 0.640665i
\(346\) 23.0108 1.23707
\(347\) −1.31185 + 4.46777i −0.0704241 + 0.239842i −0.987181 0.159602i \(-0.948979\pi\)
0.916757 + 0.399445i \(0.130797\pi\)
\(348\) 0.335627 0.437166i 0.0179915 0.0234346i
\(349\) 5.79333 + 3.72315i 0.310110 + 0.199296i 0.686433 0.727193i \(-0.259175\pi\)
−0.376323 + 0.926488i \(0.622812\pi\)
\(350\) −1.12572 + 7.82954i −0.0601722 + 0.418507i
\(351\) 14.9323 + 16.0631i 0.797027 + 0.857382i
\(352\) 4.96160 2.26589i 0.264454 0.120772i
\(353\) −26.4583 + 22.9262i −1.40823 + 1.22024i −0.466215 + 0.884671i \(0.654383\pi\)
−0.942016 + 0.335568i \(0.891072\pi\)
\(354\) −4.10017 + 0.839877i −0.217922 + 0.0446390i
\(355\) −28.8185 13.1610i −1.52953 0.698511i
\(356\) −2.82868 + 0.830576i −0.149920 + 0.0440204i
\(357\) 12.2804 4.41109i 0.649950 0.233460i
\(358\) −5.86298 + 12.8381i −0.309868 + 0.678516i
\(359\) 0.132119 + 0.918905i 0.00697295 + 0.0484979i 0.993011 0.118023i \(-0.0376557\pi\)
−0.986038 + 0.166521i \(0.946747\pi\)
\(360\) −7.00162 + 7.69415i −0.369018 + 0.405517i
\(361\) 7.77134 + 17.0169i 0.409018 + 0.895624i
\(362\) 3.61573 2.32369i 0.190038 0.122130i
\(363\) −32.3657 2.71062i −1.69876 0.142271i
\(364\) −2.56949 + 3.99820i −0.134678 + 0.209563i
\(365\) 22.0373 25.4324i 1.15348 1.33119i
\(366\) 0.683579 2.96819i 0.0357313 0.155150i
\(367\) 12.4382i 0.649268i 0.945840 + 0.324634i \(0.105241\pi\)
−0.945840 + 0.324634i \(0.894759\pi\)
\(368\) 0.388206 + 4.78009i 0.0202367 + 0.249180i
\(369\) −1.67443 14.0652i −0.0871673 0.732207i
\(370\) −8.18139 2.40227i −0.425330 0.124888i
\(371\) −7.81979 6.77589i −0.405983 0.351786i
\(372\) 0.939648 1.67219i 0.0487185 0.0866990i
\(373\) 4.16743 + 0.599187i 0.215782 + 0.0310247i 0.249358 0.968411i \(-0.419781\pi\)
−0.0335761 + 0.999436i \(0.510690\pi\)
\(374\) −19.7297 30.7000i −1.02020 1.58746i
\(375\) −10.7434 + 5.69794i −0.554788 + 0.294240i
\(376\) 2.73212 + 3.15304i 0.140898 + 0.162606i
\(377\) 1.32938 0.191136i 0.0684667 0.00984402i
\(378\) −5.66816 1.45133i −0.291539 0.0746485i
\(379\) 2.31115 + 7.87107i 0.118716 + 0.404310i 0.997313 0.0732537i \(-0.0233383\pi\)
−0.878597 + 0.477563i \(0.841520\pi\)
\(380\) −0.528444 1.79972i −0.0271086 0.0923235i
\(381\) −11.0111 4.26009i −0.564115 0.218251i
\(382\) 8.41014 1.20920i 0.430300 0.0618679i
\(383\) 22.1774 + 25.5940i 1.13321 + 1.30779i 0.945519 + 0.325566i \(0.105555\pi\)
0.187691 + 0.982228i \(0.439900\pi\)
\(384\) −0.811545 1.53016i −0.0414140 0.0780857i
\(385\) 11.5147 + 17.9172i 0.586843 + 0.913146i
\(386\) −1.19615 0.171980i −0.0608823 0.00875356i
\(387\) −9.61743 + 19.7727i −0.488882 + 1.00510i
\(388\) −11.3605 9.84393i −0.576742 0.499750i
\(389\) 2.08019 + 0.610799i 0.105470 + 0.0309687i 0.334042 0.942558i \(-0.391587\pi\)
−0.228572 + 0.973527i \(0.573406\pi\)
\(390\) −25.3060 + 1.50101i −1.28142 + 0.0760065i
\(391\) 31.2858 7.12220i 1.58219 0.360185i
\(392\) 5.73206i 0.289513i
\(393\) 29.7014 + 6.84027i 1.49824 + 0.345046i
\(394\) 0.0335681 0.0387397i 0.00169114 0.00195168i
\(395\) −21.4804 + 33.4242i −1.08080 + 1.68175i
\(396\) −0.397759 + 16.3587i −0.0199882 + 0.822057i
\(397\) −24.3971 + 15.6791i −1.22446 + 0.786911i −0.983019 0.183505i \(-0.941255\pi\)
−0.241438 + 0.970416i \(0.577619\pi\)
\(398\) 7.02933 + 15.3921i 0.352348 + 0.771535i
\(399\) 0.754979 0.736845i 0.0377962 0.0368884i
\(400\) −0.999724 6.95323i −0.0499862 0.347662i
\(401\) −13.6290 + 29.8434i −0.680600 + 1.49031i 0.181406 + 0.983408i \(0.441935\pi\)
−0.862006 + 0.506898i \(0.830792\pi\)
\(402\) −2.87798 8.01227i −0.143541 0.399616i
\(403\) 4.48481 1.31686i 0.223404 0.0655974i
\(404\) −11.0455 5.04431i −0.549534 0.250964i
\(405\) −11.5697 28.9853i −0.574901 1.44029i
\(406\) −0.270790 + 0.234641i −0.0134391 + 0.0116450i
\(407\) −12.2003 + 5.57168i −0.604745 + 0.276178i
\(408\) −9.36055 + 6.83128i −0.463416 + 0.338199i
\(409\) 0.956843 6.65499i 0.0473128 0.329068i −0.952394 0.304869i \(-0.901387\pi\)
0.999707 0.0241991i \(-0.00770357\pi\)
\(410\) 13.7736 + 8.85173i 0.680228 + 0.437156i
\(411\) −19.1051 14.6676i −0.942385 0.723499i
\(412\) −0.612755 + 2.08685i −0.0301883 + 0.102812i
\(413\) 2.72092 0.133888
\(414\) −13.4051 5.22518i −0.658826 0.256804i
\(415\) −10.9020 −0.535157
\(416\) 1.18912 4.04977i 0.0583014 0.198556i
\(417\) 20.3887 + 15.6531i 0.998441 + 0.766535i
\(418\) −2.48203 1.59511i −0.121400 0.0780192i
\(419\) −0.634594 + 4.41370i −0.0310019 + 0.215623i −0.999433 0.0336566i \(-0.989285\pi\)
0.968432 + 0.249280i \(0.0801938\pi\)
\(420\) 5.46303 3.98689i 0.266569 0.194540i
\(421\) 4.31204 1.96924i 0.210156 0.0959750i −0.307556 0.951530i \(-0.599511\pi\)
0.517712 + 0.855555i \(0.326784\pi\)
\(422\) −8.45434 + 7.32573i −0.411551 + 0.356611i
\(423\) −12.0914 + 3.23326i −0.587903 + 0.157207i
\(424\) 8.35859 + 3.81724i 0.405929 + 0.185382i
\(425\) −45.0948 + 13.2410i −2.18742 + 0.642285i
\(426\) 5.34945 + 14.8928i 0.259182 + 0.721559i
\(427\) −0.822594 + 1.80123i −0.0398081 + 0.0871676i
\(428\) −0.865279 6.01815i −0.0418248 0.290898i
\(429\) −28.5368 + 27.8514i −1.37777 + 1.34468i
\(430\) −10.5579 23.1185i −0.509145 1.11487i
\(431\) 23.8818 15.3479i 1.15035 0.739282i 0.180638 0.983550i \(-0.442184\pi\)
0.969708 + 0.244268i \(0.0785476\pi\)
\(432\) 5.19298 0.181490i 0.249847 0.00873192i
\(433\) 5.81783 9.05272i 0.279587 0.435046i −0.672851 0.739778i \(-0.734931\pi\)
0.952438 + 0.304732i \(0.0985669\pi\)
\(434\) −0.816605 + 0.942413i −0.0391983 + 0.0452373i
\(435\) −1.86243 0.428921i −0.0892968 0.0205652i
\(436\) 8.55055i 0.409497i
\(437\) 2.06162 1.57453i 0.0986205 0.0753200i
\(438\) −16.7791 + 0.995242i −0.801738 + 0.0475545i
\(439\) 0.155517 + 0.0456639i 0.00742242 + 0.00217942i 0.285442 0.958396i \(-0.407860\pi\)
−0.278019 + 0.960576i \(0.589678\pi\)
\(440\) −14.2946 12.3863i −0.681468 0.590496i
\(441\) −15.4639 7.52166i −0.736377 0.358174i
\(442\) −27.9512 4.01878i −1.32950 0.191154i
\(443\) −12.3664 19.2424i −0.587543 0.914236i −0.999995 0.00325581i \(-0.998964\pi\)
0.412451 0.910980i \(-0.364673\pi\)
\(444\) 1.99554 + 3.76257i 0.0947041 + 0.178564i
\(445\) 6.69466 + 7.72606i 0.317358 + 0.366250i
\(446\) 14.6955 2.11289i 0.695850 0.100048i
\(447\) −5.57400 2.15653i −0.263641 0.102000i
\(448\) 0.317239 + 1.08042i 0.0149881 + 0.0510449i
\(449\) −0.00112074 0.00381690i −5.28911e−5 0.000180131i 0.959467 0.281823i \(-0.0909390\pi\)
−0.959519 + 0.281642i \(0.909121\pi\)
\(450\) 20.0702 + 6.42705i 0.946121 + 0.302974i
\(451\) 25.4915 3.66512i 1.20035 0.172584i
\(452\) 1.61285 + 1.86132i 0.0758619 + 0.0875492i
\(453\) 6.95884 3.69073i 0.326955 0.173405i
\(454\) 3.87907 + 6.03595i 0.182054 + 0.283281i
\(455\) 16.3130 + 2.34545i 0.764763 + 0.109956i
\(456\) −0.458961 + 0.816764i −0.0214928 + 0.0382485i
\(457\) −2.60575 2.25790i −0.121892 0.105620i 0.591782 0.806098i \(-0.298425\pi\)
−0.713674 + 0.700478i \(0.752970\pi\)
\(458\) 7.98154 + 2.34359i 0.372953 + 0.109509i
\(459\) −6.14638 34.2169i −0.286889 1.59711i
\(460\) 14.5186 8.11035i 0.676935 0.378147i
\(461\) 18.0351i 0.839979i −0.907529 0.419989i \(-0.862034\pi\)
0.907529 0.419989i \(-0.137966\pi\)
\(462\) 2.38749 10.3668i 0.111076 0.482307i
\(463\) 5.02851 5.80321i 0.233695 0.269698i −0.626774 0.779201i \(-0.715625\pi\)
0.860469 + 0.509503i \(0.170171\pi\)
\(464\) 0.172034 0.267690i 0.00798646 0.0124272i
\(465\) −6.62818 0.555109i −0.307374 0.0257426i
\(466\) −0.942540 + 0.605734i −0.0436623 + 0.0280601i
\(467\) −6.12689 13.4160i −0.283519 0.620820i 0.713270 0.700889i \(-0.247213\pi\)
−0.996789 + 0.0800692i \(0.974486\pi\)
\(468\) 9.36508 + 8.52215i 0.432901 + 0.393937i
\(469\) 0.787673 + 5.47838i 0.0363713 + 0.252968i
\(470\) 6.00995 13.1600i 0.277219 0.607024i
\(471\) 26.1723 9.40099i 1.20595 0.433175i
\(472\) −2.31851 + 0.680775i −0.106718 + 0.0313352i
\(473\) −36.3645 16.6071i −1.67204 0.763597i
\(474\) 19.4416 3.98241i 0.892982 0.182918i
\(475\) −2.87165 + 2.48830i −0.131761 + 0.114171i
\(476\) 6.85284 3.12959i 0.314099 0.143444i
\(477\) −21.2664 + 17.5408i −0.973720 + 0.803136i
\(478\) 0.734016 5.10519i 0.0335731 0.233506i
\(479\) 2.02491 + 1.30133i 0.0925203 + 0.0594592i 0.586083 0.810251i \(-0.300669\pi\)
−0.493563 + 0.869710i \(0.664306\pi\)
\(480\) −3.65755 + 4.76409i −0.166943 + 0.217450i
\(481\) −2.92397 + 9.95813i −0.133322 + 0.454052i
\(482\) 10.4116 0.474237
\(483\) 7.85590 + 5.07669i 0.357456 + 0.230998i
\(484\) −18.7518 −0.852353
\(485\) −14.6857 + 50.0148i −0.666843 + 2.27106i
\(486\) −6.32466 + 14.2478i −0.286892 + 0.646292i
\(487\) 18.7222 + 12.0320i 0.848385 + 0.545224i 0.891071 0.453865i \(-0.149955\pi\)
−0.0426858 + 0.999089i \(0.513591\pi\)
\(488\) 0.250267 1.74065i 0.0113291 0.0787954i
\(489\) 6.58763 + 9.02670i 0.297903 + 0.408202i
\(490\) 18.0807 8.25716i 0.816801 0.373020i
\(491\) 26.4667 22.9335i 1.19442 1.03497i 0.195903 0.980623i \(-0.437236\pi\)
0.998522 0.0543513i \(-0.0173091\pi\)
\(492\) −1.64108 8.01156i −0.0739858 0.361189i
\(493\) −1.93654 0.884386i −0.0872172 0.0398307i
\(494\) −2.19056 + 0.643206i −0.0985579 + 0.0289392i
\(495\) 52.1733 22.3104i 2.34502 1.00278i
\(496\) 0.460040 1.00735i 0.0206564 0.0452312i
\(497\) −1.46409 10.1830i −0.0656733 0.456768i
\(498\) 3.80338 + 3.89698i 0.170434 + 0.174628i
\(499\) −13.5846 29.7461i −0.608129 1.33162i −0.923846 0.382764i \(-0.874972\pi\)
0.315717 0.948853i \(-0.397755\pi\)
\(500\) −5.90653 + 3.79589i −0.264148 + 0.169758i
\(501\) −1.44460 + 17.2490i −0.0645402 + 0.770631i
\(502\) 12.7218 19.7954i 0.567800 0.883513i
\(503\) 3.18224 3.67250i 0.141889 0.163749i −0.680357 0.732881i \(-0.738175\pi\)
0.822246 + 0.569132i \(0.192721\pi\)
\(504\) −3.33103 0.561887i −0.148376 0.0250285i
\(505\) 42.1073i 1.87375i
\(506\) 8.90503 24.5966i 0.395877 1.09345i
\(507\) 0.493765 + 8.32457i 0.0219289 + 0.369707i
\(508\) −6.54035 1.92042i −0.290181 0.0852048i
\(509\) 17.6690 + 15.3103i 0.783164 + 0.678616i 0.951683 0.307083i \(-0.0993529\pi\)
−0.168519 + 0.985698i \(0.553898\pi\)
\(510\) 35.0320 + 19.6854i 1.55124 + 0.871685i
\(511\) 10.8163 + 1.55515i 0.478484 + 0.0687957i
\(512\) −0.540641 0.841254i −0.0238932 0.0371785i
\(513\) −1.60121 2.30995i −0.0706951 0.101987i
\(514\) 16.0724 + 18.5485i 0.708924 + 0.818141i
\(515\) 7.46526 1.07334i 0.328958 0.0472971i
\(516\) −4.58052 + 11.8393i −0.201646 + 0.521198i
\(517\) −6.41128 21.8348i −0.281968 0.960294i
\(518\) −0.780071 2.65668i −0.0342744 0.116728i
\(519\) −14.3810 + 37.1708i −0.631257 + 1.63162i
\(520\) −14.4872 + 2.08294i −0.635304 + 0.0913429i
\(521\) 6.62077 + 7.64077i 0.290061 + 0.334748i 0.882013 0.471225i \(-0.156188\pi\)
−0.591952 + 0.805973i \(0.701643\pi\)
\(522\) 0.496428 + 0.815377i 0.0217280 + 0.0356881i
\(523\) −11.0228 17.1518i −0.481994 0.749997i 0.512052 0.858954i \(-0.328885\pi\)
−0.994046 + 0.108957i \(0.965249\pi\)
\(524\) 17.4179 + 2.50431i 0.760904 + 0.109401i
\(525\) −11.9440 6.71168i −0.521281 0.292922i
\(526\) −11.6083 10.0587i −0.506146 0.438578i
\(527\) −7.10903 2.08740i −0.309674 0.0909286i
\(528\) 0.559388 + 9.43093i 0.0243442 + 0.410428i
\(529\) 17.6692 + 14.7240i 0.768228 + 0.640176i
\(530\) 31.8644i 1.38410i
\(531\) 1.20578 7.14818i 0.0523262 0.310205i
\(532\) 0.398862 0.460312i 0.0172929 0.0199570i
\(533\) 10.7741 16.7648i 0.466676 0.726162i
\(534\) 0.426156 5.08844i 0.0184416 0.220199i
\(535\) −17.7366 + 11.3986i −0.766821 + 0.492806i
\(536\) −2.04187 4.47107i −0.0881954 0.193121i
\(537\) −17.0741 17.4943i −0.736802 0.754935i
\(538\) 2.96970 + 20.6547i 0.128033 + 0.890487i
\(539\) 12.9882 28.4402i 0.559442 1.22501i
\(540\) −8.05308 16.1188i −0.346549 0.693643i
\(541\) 2.46769 0.724579i 0.106094 0.0311521i −0.228255 0.973601i \(-0.573302\pi\)
0.334349 + 0.942449i \(0.391484\pi\)
\(542\) −21.5413 9.83756i −0.925276 0.422559i
\(543\) 1.49389 + 7.29296i 0.0641088 + 0.312971i
\(544\) −5.05630 + 4.38131i −0.216787 + 0.187847i
\(545\) 26.9710 12.3173i 1.15531 0.527613i
\(546\) −4.85272 6.64943i −0.207677 0.284569i
\(547\) 5.56535 38.7079i 0.237957 1.65503i −0.424130 0.905601i \(-0.639420\pi\)
0.662087 0.749427i \(-0.269671\pi\)
\(548\) −11.6986 7.51823i −0.499739 0.321163i
\(549\) 4.36751 + 2.95926i 0.186401 + 0.126298i
\(550\) −10.7950 + 36.7644i −0.460301 + 1.56764i
\(551\) −0.172119 −0.00733252
\(552\) −7.96423 2.36032i −0.338980 0.100462i
\(553\) −12.9017 −0.548635
\(554\) −9.33240 + 31.7832i −0.396496 + 1.35034i
\(555\) 8.99368 11.7146i 0.381760 0.497257i
\(556\) 12.4846 + 8.02337i 0.529465 + 0.340267i
\(557\) −2.58495 + 17.9787i −0.109528 + 0.761783i 0.858838 + 0.512247i \(0.171187\pi\)
−0.968366 + 0.249535i \(0.919722\pi\)
\(558\) 2.11395 + 2.56295i 0.0894906 + 0.108498i
\(559\) −28.1391 + 12.8507i −1.19016 + 0.543526i
\(560\) 2.95097 2.55703i 0.124701 0.108054i
\(561\) 61.9223 12.6841i 2.61436 0.535524i
\(562\) −15.4157 7.04013i −0.650273 0.296970i
\(563\) 8.47052 2.48717i 0.356990 0.104822i −0.0983196 0.995155i \(-0.531347\pi\)
0.455310 + 0.890333i \(0.349529\pi\)
\(564\) −6.80081 + 2.44283i −0.286366 + 0.102862i
\(565\) 3.54784 7.76868i 0.149259 0.326831i
\(566\) 3.15054 + 21.9125i 0.132427 + 0.921051i
\(567\) 5.88687 8.24912i 0.247225 0.346431i
\(568\) 3.79533 + 8.31062i 0.159249 + 0.348706i
\(569\) 5.93908 3.81682i 0.248979 0.160009i −0.410199 0.911996i \(-0.634541\pi\)
0.659178 + 0.751987i \(0.270904\pi\)
\(570\) 3.23746 + 0.271137i 0.135602 + 0.0113567i
\(571\) 2.96871 4.61940i 0.124237 0.193316i −0.773564 0.633718i \(-0.781528\pi\)
0.897801 + 0.440402i \(0.145164\pi\)
\(572\) −15.0763 + 17.3989i −0.630370 + 0.727486i
\(573\) −3.30279 + 14.3412i −0.137976 + 0.599112i
\(574\) 5.31657i 0.221909i
\(575\) −27.1631 19.9285i −1.13278 0.831077i
\(576\) 2.97896 0.354638i 0.124124 0.0147766i
\(577\) 29.4154 + 8.63714i 1.22458 + 0.359569i 0.829201 0.558950i \(-0.188796\pi\)
0.395377 + 0.918519i \(0.370614\pi\)
\(578\) 20.9812 + 18.1803i 0.872702 + 0.756201i
\(579\) 1.02537 1.82474i 0.0426128 0.0758335i
\(580\) −1.09219 0.157034i −0.0453508 0.00652046i
\(581\) −1.91393 2.97813i −0.0794032 0.123554i
\(582\) 23.0015 12.1992i 0.953444 0.505674i
\(583\) −32.8226 37.8793i −1.35937 1.56880i
\(584\) −9.60569 + 1.38109i −0.397486 + 0.0571499i
\(585\) 13.3908 41.8166i 0.553643 1.72891i
\(586\) 7.62326 + 25.9624i 0.314914 + 1.07250i
\(587\) 0.278923 + 0.949924i 0.0115124 + 0.0392076i 0.965049 0.262070i \(-0.0844051\pi\)
−0.953536 + 0.301278i \(0.902587\pi\)
\(588\) −9.25938 3.58237i −0.381850 0.147734i
\(589\) −0.592919 + 0.0852488i −0.0244308 + 0.00351262i
\(590\) 5.48723 + 6.33261i 0.225906 + 0.260709i
\(591\) 0.0415997 + 0.0784360i 0.00171118 + 0.00322642i
\(592\) 1.32940 + 2.06859i 0.0546381 + 0.0850186i
\(593\) 31.7713 + 4.56802i 1.30469 + 0.187586i 0.759379 0.650648i \(-0.225503\pi\)
0.545310 + 0.838234i \(0.316412\pi\)
\(594\) −26.1768 10.8662i −1.07405 0.445847i
\(595\) −19.7433 17.1077i −0.809398 0.701347i
\(596\) −3.31083 0.972148i −0.135617 0.0398208i
\(597\) −29.2570 + 1.73536i −1.19741 + 0.0710234i
\(598\) −9.87167 17.6716i −0.403682 0.722647i
\(599\) 24.9640i 1.02000i 0.860174 + 0.510000i \(0.170355\pi\)
−0.860174 + 0.510000i \(0.829645\pi\)
\(600\) 11.8568 + 2.73064i 0.484053 + 0.111478i
\(601\) −1.43270 + 1.65343i −0.0584412 + 0.0674447i −0.784217 0.620486i \(-0.786935\pi\)
0.725776 + 0.687931i \(0.241481\pi\)
\(602\) 4.46184 6.94276i 0.181851 0.282966i
\(603\) 14.7414 + 0.358435i 0.600317 + 0.0145966i
\(604\) 3.82583 2.45871i 0.155671 0.100044i
\(605\) 27.0123 + 59.1488i 1.09821 + 2.40474i
\(606\) 15.0515 14.6900i 0.611426 0.596740i
\(607\) 2.04248 + 14.2058i 0.0829017 + 0.576594i 0.988357 + 0.152152i \(0.0486205\pi\)
−0.905455 + 0.424442i \(0.860470\pi\)
\(608\) −0.224702 + 0.492028i −0.00911286 + 0.0199544i
\(609\) −0.209795 0.584068i −0.00850133 0.0236676i
\(610\) −5.85105 + 1.71802i −0.236902 + 0.0695607i
\(611\) −16.0179 7.31513i −0.648015 0.295938i
\(612\) −5.18496 19.3901i −0.209589 0.783797i
\(613\) −34.8471 + 30.1952i −1.40746 + 1.21957i −0.464976 + 0.885323i \(0.653937\pi\)
−0.942485 + 0.334249i \(0.891517\pi\)
\(614\) −21.3778 + 9.76292i −0.862738 + 0.393999i
\(615\) −22.9069 + 16.7173i −0.923694 + 0.674107i
\(616\) 0.874090 6.07943i 0.0352181 0.244947i
\(617\) −28.1178 18.0702i −1.13198 0.727479i −0.166008 0.986124i \(-0.553088\pi\)
−0.965972 + 0.258645i \(0.916724\pi\)
\(618\) −2.98808 2.29405i −0.120198 0.0922801i
\(619\) −4.48251 + 15.2660i −0.180167 + 0.613593i 0.819038 + 0.573739i \(0.194508\pi\)
−0.999206 + 0.0398542i \(0.987311\pi\)
\(620\) −3.84018 −0.154225
\(621\) 16.8184 18.3886i 0.674899 0.737910i
\(622\) 19.0266 0.762896
\(623\) −0.935252 + 3.18518i −0.0374701 + 0.127611i
\(624\) 5.79870 + 4.45185i 0.232134 + 0.178217i
\(625\) −9.06602 5.82638i −0.362641 0.233055i
\(626\) 4.32443 30.0771i 0.172839 1.20212i
\(627\) 4.12788 3.01250i 0.164852 0.120308i
\(628\) 14.6049 6.66982i 0.582798 0.266155i
\(629\) 12.4331 10.7734i 0.495742 0.429563i
\(630\) 3.02606 + 11.3165i 0.120561 + 0.450860i
\(631\) −24.9128 11.3773i −0.991763 0.452923i −0.147622 0.989044i \(-0.547162\pi\)
−0.844141 + 0.536121i \(0.819889\pi\)
\(632\) 10.9936 3.22800i 0.437300 0.128403i
\(633\) −6.55003 18.2352i −0.260340 0.724786i
\(634\) 8.93945 19.5747i 0.355031 0.777409i
\(635\) 3.36393 + 23.3966i 0.133493 + 0.928467i
\(636\) −11.3901 + 11.1165i −0.451648 + 0.440799i
\(637\) −10.0504 22.0072i −0.398209 0.871957i
\(638\) −1.46012 + 0.938361i −0.0578066 + 0.0371501i
\(639\) −27.4006 0.666241i −1.08395 0.0263561i
\(640\) −1.87476 + 2.91719i −0.0741065 + 0.115312i
\(641\) −8.21721 + 9.48316i −0.324560 + 0.374562i −0.894457 0.447154i \(-0.852438\pi\)
0.569897 + 0.821716i \(0.306983\pi\)
\(642\) 10.2623 + 2.36342i 0.405020 + 0.0932767i
\(643\) 6.52422i 0.257290i 0.991691 + 0.128645i \(0.0410628\pi\)
−0.991691 + 0.128645i \(0.958937\pi\)
\(644\) 4.76440 + 2.54227i 0.187744 + 0.100180i
\(645\) 43.9432 2.60646i 1.73026 0.102629i
\(646\) 3.47233 + 1.01957i 0.136617 + 0.0401144i
\(647\) 13.1388 + 11.3849i 0.516541 + 0.447585i 0.873705 0.486457i \(-0.161711\pi\)
−0.357164 + 0.934042i \(0.616256\pi\)
\(648\) −2.95229 + 8.50200i −0.115977 + 0.333990i
\(649\) 13.0461 + 1.87574i 0.512104 + 0.0736294i
\(650\) 16.0298 + 24.9428i 0.628739 + 0.978337i
\(651\) −1.01199 1.90810i −0.0396630 0.0747842i
\(652\) 4.22505 + 4.87597i 0.165466 + 0.190958i
\(653\) −24.6073 + 3.53800i −0.962958 + 0.138453i −0.605822 0.795600i \(-0.707156\pi\)
−0.357136 + 0.934052i \(0.616247\pi\)
\(654\) −13.8123 5.34384i −0.540103 0.208961i
\(655\) −17.1915 58.5488i −0.671727 2.28769i
\(656\) −1.33021 4.53027i −0.0519358 0.176877i
\(657\) 8.87878 27.7265i 0.346394 1.08171i
\(658\) 4.65005 0.668576i 0.181278 0.0260638i
\(659\) −1.15555 1.33358i −0.0450140 0.0519489i 0.732796 0.680448i \(-0.238215\pi\)
−0.777810 + 0.628499i \(0.783669\pi\)
\(660\) 28.9422 15.3499i 1.12657 0.597496i
\(661\) −9.56182 14.8785i −0.371912 0.578706i 0.603970 0.797007i \(-0.293585\pi\)
−0.975881 + 0.218301i \(0.929948\pi\)
\(662\) −24.5499 3.52974i −0.954158 0.137187i
\(663\) 23.9605 42.6399i 0.930548 1.65599i
\(664\) 2.37600 + 2.05881i 0.0922065 + 0.0798974i
\(665\) −2.02653 0.595044i −0.0785856 0.0230748i
\(666\) −7.32509 + 0.872032i −0.283842 + 0.0337906i
\(667\) −0.338738 1.48798i −0.0131160 0.0576148i
\(668\) 9.99361i 0.386664i
\(669\) −5.77113 + 25.0591i −0.223125 + 0.968839i
\(670\) −11.1618 + 12.8814i −0.431216 + 0.497650i
\(671\) −5.18584 + 8.06933i −0.200197 + 0.311513i
\(672\) −1.94354 0.162771i −0.0749735 0.00627902i
\(673\) −26.4183 + 16.9780i −1.01835 + 0.654453i −0.939541 0.342437i \(-0.888748\pi\)
−0.0788082 + 0.996890i \(0.525111\pi\)
\(674\) 6.31657 + 13.8314i 0.243305 + 0.532764i
\(675\) −22.9253 + 28.4041i −0.882397 + 1.09327i
\(676\) 0.685195 + 4.76563i 0.0263536 + 0.183294i
\(677\) −0.624956 + 1.36846i −0.0240190 + 0.0525943i −0.921261 0.388944i \(-0.872840\pi\)
0.897242 + 0.441539i \(0.145567\pi\)
\(678\) −4.01470 + 1.44207i −0.154184 + 0.0553822i
\(679\) −16.2409 + 4.76877i −0.623270 + 0.183008i
\(680\) 21.1037 + 9.63774i 0.809290 + 0.369590i
\(681\) −12.1746 + 2.49383i −0.466531 + 0.0955639i
\(682\) −4.56508 + 3.95566i −0.174806 + 0.151470i
\(683\) −19.3713 + 8.84656i −0.741221 + 0.338504i −0.749983 0.661457i \(-0.769938\pi\)
0.00876169 + 0.999962i \(0.497211\pi\)
\(684\) −1.03254 1.25184i −0.0394800 0.0478655i
\(685\) −6.86270 + 47.7311i −0.262210 + 1.82371i
\(686\) 12.0608 + 7.75099i 0.460482 + 0.295934i
\(687\) −8.77399 + 11.4285i −0.334749 + 0.436023i
\(688\) −2.06487 + 7.03231i −0.0787225 + 0.268104i
\(689\) −38.7843 −1.47756
\(690\) 4.02748 + 28.5217i 0.153323 + 1.08580i
\(691\) 7.45907 0.283756 0.141878 0.989884i \(-0.454686\pi\)
0.141878 + 0.989884i \(0.454686\pi\)
\(692\) −6.48288 + 22.0787i −0.246442 + 0.839305i
\(693\) 15.2541 + 10.3356i 0.579454 + 0.392617i
\(694\) −3.91720 2.51743i −0.148695 0.0955604i
\(695\) 7.32379 50.9381i 0.277807 1.93219i
\(696\) 0.324901 + 0.445196i 0.0123153 + 0.0168751i
\(697\) −28.7344 + 13.1226i −1.08839 + 0.497053i
\(698\) −5.20451 + 4.50973i −0.196993 + 0.170696i
\(699\) −0.389423 1.90111i −0.0147293 0.0719068i
\(700\) −7.19524 3.28595i −0.271954 0.124197i
\(701\) −7.24645 + 2.12775i −0.273695 + 0.0803640i −0.415700 0.909502i \(-0.636463\pi\)
0.142005 + 0.989866i \(0.454645\pi\)
\(702\) −19.6193 + 9.80195i −0.740483 + 0.369951i
\(703\) 0.552528 1.20987i 0.0208390 0.0456310i
\(704\) 0.776259 + 5.39900i 0.0292564 + 0.203482i
\(705\) 17.5021 + 17.9329i 0.659169 + 0.675391i
\(706\) −14.5434 31.8456i −0.547348 1.19852i
\(707\) −11.5026 + 7.39227i −0.432600 + 0.278015i
\(708\) 0.349296 4.17071i 0.0131273 0.156745i
\(709\) 2.93580 4.56820i 0.110256 0.171562i −0.781740 0.623604i \(-0.785668\pi\)
0.891997 + 0.452042i \(0.149304\pi\)
\(710\) 20.7469 23.9433i 0.778619 0.898574i
\(711\) −5.71737 + 33.8942i −0.214418 + 1.27113i
\(712\) 2.94810i 0.110485i
\(713\) −1.90387 4.95804i −0.0713005 0.185680i
\(714\) 0.772612 + 13.0258i 0.0289143 + 0.487476i
\(715\) 76.5992 + 22.4916i 2.86465 + 0.841137i
\(716\) −10.6663 9.24240i −0.398618 0.345405i
\(717\) 7.78802 + 4.37630i 0.290849 + 0.163436i
\(718\) −0.918905 0.132119i −0.0342932 0.00493062i
\(719\) −7.29869 11.3570i −0.272195 0.423544i 0.678065 0.735002i \(-0.262819\pi\)
−0.950260 + 0.311458i \(0.899183\pi\)
\(720\) −5.40990 8.88570i −0.201615 0.331150i
\(721\) 1.60379 + 1.85088i 0.0597284 + 0.0689303i
\(722\) −18.5170 + 2.66234i −0.689131 + 0.0990821i
\(723\) −6.50696 + 16.8186i −0.241997 + 0.625491i
\(724\) 1.21089 + 4.12392i 0.0450025 + 0.153264i
\(725\) 0.629755 + 2.14475i 0.0233885 + 0.0796539i
\(726\) 11.7193 30.2910i 0.434944 1.12420i
\(727\) −1.04977 + 0.150933i −0.0389336 + 0.00559781i −0.161754 0.986831i \(-0.551715\pi\)
0.122820 + 0.992429i \(0.460806\pi\)
\(728\) −3.11234 3.59183i −0.115351 0.133122i
\(729\) −19.0626 19.1211i −0.706024 0.708188i
\(730\) 18.1936 + 28.3098i 0.673375 + 1.04779i
\(731\) 48.5364 + 6.97849i 1.79519 + 0.258109i
\(732\) 2.65538 + 1.49213i 0.0981455 + 0.0551506i
\(733\) 25.8250 + 22.3775i 0.953869 + 0.826532i 0.984924 0.172986i \(-0.0553414\pi\)
−0.0310556 + 0.999518i \(0.509887\pi\)
\(734\) −11.9344 3.50424i −0.440505 0.129344i
\(735\) 2.03847 + 34.3674i 0.0751903 + 1.26766i
\(736\) −4.69584 0.974227i −0.173091 0.0359105i
\(737\) 26.8103i 0.987572i
\(738\) 13.9672 + 2.35603i 0.514141 + 0.0867268i
\(739\) 29.0748 33.5541i 1.06953 1.23431i 0.0985575 0.995131i \(-0.468577\pi\)
0.970976 0.239176i \(-0.0768774\pi\)
\(740\) 4.60993 7.17319i 0.169464 0.263692i
\(741\) 0.330020 3.94054i 0.0121236 0.144759i
\(742\) 8.70450 5.59404i 0.319552 0.205364i
\(743\) −15.5165 33.9765i −0.569247 1.24648i −0.947198 0.320650i \(-0.896099\pi\)
0.377951 0.925826i \(-0.376629\pi\)
\(744\) 1.33973 + 1.37270i 0.0491167 + 0.0503255i
\(745\) 1.70288 + 11.8438i 0.0623886 + 0.433922i
\(746\) −1.74902 + 3.82981i −0.0640361 + 0.140219i
\(747\) −8.67206 + 3.70836i −0.317294 + 0.135682i
\(748\) 35.0149 10.2813i 1.28027 0.375922i
\(749\) −6.22761 2.84405i −0.227552 0.103919i
\(750\) −2.44036 11.9135i −0.0891094 0.435021i
\(751\) −21.7132 + 18.8146i −0.792327 + 0.686556i −0.953840 0.300315i \(-0.902908\pi\)
0.161513 + 0.986871i \(0.448363\pi\)
\(752\) −3.79505 + 1.73314i −0.138391 + 0.0632011i
\(753\) 24.0262 + 32.9219i 0.875563 + 1.19974i
\(754\) −0.191136 + 1.32938i −0.00696077 + 0.0484132i
\(755\) −13.2667 8.52601i −0.482826 0.310293i
\(756\) 2.98945 5.02967i 0.108725 0.182927i
\(757\) 6.18376 21.0600i 0.224753 0.765437i −0.767483 0.641069i \(-0.778491\pi\)
0.992236 0.124368i \(-0.0396905\pi\)
\(758\) −8.20336 −0.297960
\(759\) 34.1671 + 29.7570i 1.24019 + 1.08011i
\(760\) 1.87569 0.0680386
\(761\) 10.5126 35.8025i 0.381080 1.29784i −0.516235 0.856447i \(-0.672667\pi\)
0.897315 0.441391i \(-0.145515\pi\)
\(762\) 7.18970 9.36486i 0.260456 0.339253i
\(763\) 8.09973 + 5.20538i 0.293230 + 0.188447i
\(764\) −1.20920 + 8.41014i −0.0437472 + 0.304268i
\(765\) −53.6931 + 44.2868i −1.94128 + 1.60119i
\(766\) −30.8054 + 14.0683i −1.11304 + 0.508310i
\(767\) 7.70785 6.67889i 0.278314 0.241161i
\(768\) 1.69682 0.347575i 0.0612286 0.0125420i
\(769\) 32.5205 + 14.8516i 1.17272 + 0.535563i 0.903949 0.427641i \(-0.140655\pi\)
0.268771 + 0.963204i \(0.413383\pi\)
\(770\) −20.4355 + 6.00041i −0.736445 + 0.216240i
\(771\) −40.0075 + 14.3706i −1.44083 + 0.517543i
\(772\) 0.502008 1.09924i 0.0180676 0.0395626i