Properties

Label 162.3.h.a.5.6
Level $162$
Weight $3$
Character 162.5
Analytic conductor $4.414$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 5.6
Character \(\chi\) \(=\) 162.5
Dual form 162.3.h.a.65.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.326140 - 1.37609i) q^{2} +(0.243053 - 2.99014i) q^{3} +(-1.78727 + 0.897598i) q^{4} +(-2.26822 + 1.68862i) q^{5} +(-4.19398 + 0.640740i) q^{6} +(-8.30694 + 5.46356i) q^{7} +(1.81808 + 2.16670i) q^{8} +(-8.88185 - 1.45353i) q^{9} +O(q^{10})\) \(q+(-0.326140 - 1.37609i) q^{2} +(0.243053 - 2.99014i) q^{3} +(-1.78727 + 0.897598i) q^{4} +(-2.26822 + 1.68862i) q^{5} +(-4.19398 + 0.640740i) q^{6} +(-8.30694 + 5.46356i) q^{7} +(1.81808 + 2.16670i) q^{8} +(-8.88185 - 1.45353i) q^{9} +(3.06346 + 2.57055i) q^{10} +(-1.30129 + 11.1332i) q^{11} +(2.24954 + 5.56233i) q^{12} +(-4.43168 - 14.8028i) q^{13} +(10.2276 + 9.64924i) q^{14} +(4.49792 + 7.19270i) q^{15} +(2.38863 - 3.20849i) q^{16} +(-4.36022 - 0.768825i) q^{17} +(0.896540 + 12.6963i) q^{18} +(-1.93069 - 10.9495i) q^{19} +(2.53820 - 5.05397i) q^{20} +(14.3178 + 26.1668i) q^{21} +(15.7448 - 1.84030i) q^{22} +(3.87583 - 5.89292i) q^{23} +(6.92062 - 4.90968i) q^{24} +(-4.87673 + 16.2894i) q^{25} +(-18.9247 + 10.9262i) q^{26} +(-6.50501 + 26.2047i) q^{27} +(9.94262 - 17.2211i) q^{28} +(-27.5564 + 25.9981i) q^{29} +(8.43088 - 8.53539i) q^{30} +(3.19250 - 54.8131i) q^{31} +(-5.19421 - 2.24057i) q^{32} +(32.9736 + 6.59700i) q^{33} +(0.364069 + 6.25082i) q^{34} +(9.61603 - 26.4198i) q^{35} +(17.1789 - 5.37450i) q^{36} +(-37.2076 + 13.5425i) q^{37} +(-14.4379 + 6.22789i) q^{38} +(-45.3397 + 9.65345i) q^{39} +(-7.78254 - 1.84450i) q^{40} +(-9.88313 + 41.7002i) q^{41} +(31.3384 - 28.2366i) q^{42} +(-27.3467 - 63.3968i) q^{43} +(-7.66742 - 21.0661i) q^{44} +(22.6004 - 11.7012i) q^{45} +(-9.37327 - 3.41159i) q^{46} +(62.3782 - 3.63312i) q^{47} +(-9.01327 - 7.92218i) q^{48} +(19.7468 - 45.7783i) q^{49} +(24.0062 + 1.39820i) q^{50} +(-3.35866 + 12.8508i) q^{51} +(21.2076 + 22.4787i) q^{52} +(-63.7434 - 36.8023i) q^{53} +(38.1816 + 0.405101i) q^{54} +(-15.8482 - 27.4500i) q^{55} +(-26.9406 - 8.06547i) q^{56} +(-33.2098 + 3.11173i) q^{57} +(44.7631 + 29.4411i) q^{58} +(-2.12952 - 18.2192i) q^{59} +(-14.4951 - 8.81794i) q^{60} +(35.5347 + 17.8462i) q^{61} +(-76.4692 + 13.4836i) q^{62} +(81.7224 - 36.4522i) q^{63} +(-1.38919 + 7.87846i) q^{64} +(35.0484 + 26.0926i) q^{65} +(-1.67593 - 47.5263i) q^{66} +(12.7808 - 13.5469i) q^{67} +(8.48297 - 2.53964i) q^{68} +(-16.6786 - 13.0216i) q^{69} +(-39.4923 - 4.61599i) q^{70} +(-16.0682 + 19.1493i) q^{71} +(-12.9985 - 21.8869i) q^{72} +(46.5772 - 39.0829i) q^{73} +(30.7706 + 46.7844i) q^{74} +(47.5223 + 18.5413i) q^{75} +(13.2789 + 17.8367i) q^{76} +(-50.0174 - 99.5928i) q^{77} +(28.0711 + 59.2432i) q^{78} +(-51.7309 + 12.2605i) q^{79} +11.3111i q^{80} +(76.7745 + 25.8200i) q^{81} +60.6067 q^{82} +(2.26668 + 9.56388i) q^{83} +(-49.0770 - 33.9155i) q^{84} +(11.1882 - 5.61892i) q^{85} +(-78.3211 + 58.3079i) q^{86} +(71.0403 + 88.7163i) q^{87} +(-26.4882 + 17.4216i) q^{88} +(-3.97168 - 4.73327i) q^{89} +(-23.4728 - 27.2840i) q^{90} +(117.690 + 98.7535i) q^{91} +(-1.63767 + 14.0112i) q^{92} +(-163.123 - 22.8685i) q^{93} +(-25.3435 - 84.6533i) q^{94} +(22.8688 + 21.5756i) q^{95} +(-7.96207 + 14.9868i) q^{96} +(-31.9894 + 42.9693i) q^{97} +(-69.4355 - 12.2433i) q^{98} +(27.7403 - 96.9922i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324 q+O(q^{10}) \) Copy content Toggle raw display \( 324 q + 72 q^{18} + 108 q^{20} + 270 q^{21} + 162 q^{23} - 54 q^{27} - 162 q^{29} - 216 q^{30} - 378 q^{33} - 486 q^{35} - 180 q^{36} - 108 q^{38} + 216 q^{41} + 432 q^{45} + 324 q^{47} + 126 q^{51} - 216 q^{57} - 378 q^{59} - 540 q^{63} - 1728 q^{65} - 1008 q^{66} + 702 q^{67} - 216 q^{68} - 1872 q^{69} + 540 q^{70} - 1296 q^{71} - 576 q^{72} - 864 q^{74} - 900 q^{75} + 108 q^{76} - 864 q^{77} - 288 q^{78} + 108 q^{79} + 144 q^{81} + 432 q^{83} + 144 q^{84} - 540 q^{85} + 864 q^{86} + 2016 q^{87} - 216 q^{88} + 1782 q^{89} + 1440 q^{90} + 864 q^{92} + 2124 q^{93} - 756 q^{94} + 2808 q^{95} + 288 q^{96} - 918 q^{97} + 1296 q^{98} + 1800 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

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

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.326140 1.37609i −0.163070 0.688047i
\(3\) 0.243053 2.99014i 0.0810178 0.996713i
\(4\) −1.78727 + 0.897598i −0.446816 + 0.224400i
\(5\) −2.26822 + 1.68862i −0.453643 + 0.337725i −0.799608 0.600523i \(-0.794959\pi\)
0.345964 + 0.938248i \(0.387552\pi\)
\(6\) −4.19398 + 0.640740i −0.698996 + 0.106790i
\(7\) −8.30694 + 5.46356i −1.18671 + 0.780509i −0.980214 0.197940i \(-0.936575\pi\)
−0.206491 + 0.978448i \(0.566205\pi\)
\(8\) 1.81808 + 2.16670i 0.227260 + 0.270838i
\(9\) −8.88185 1.45353i −0.986872 0.161503i
\(10\) 3.06346 + 2.57055i 0.306346 + 0.257055i
\(11\) −1.30129 + 11.1332i −0.118299 + 1.01211i 0.795502 + 0.605951i \(0.207207\pi\)
−0.913801 + 0.406162i \(0.866867\pi\)
\(12\) 2.24954 + 5.56233i 0.187462 + 0.463528i
\(13\) −4.43168 14.8028i −0.340898 1.13868i −0.940901 0.338682i \(-0.890019\pi\)
0.600002 0.799998i \(-0.295166\pi\)
\(14\) 10.2276 + 9.64924i 0.730542 + 0.689231i
\(15\) 4.49792 + 7.19270i 0.299861 + 0.479514i
\(16\) 2.38863 3.20849i 0.149290 0.200531i
\(17\) −4.36022 0.768825i −0.256484 0.0452250i 0.0439277 0.999035i \(-0.486013\pi\)
−0.300411 + 0.953810i \(0.597124\pi\)
\(18\) 0.896540 + 12.6963i 0.0498078 + 0.705350i
\(19\) −1.93069 10.9495i −0.101616 0.576290i −0.992518 0.122096i \(-0.961038\pi\)
0.890903 0.454194i \(-0.150073\pi\)
\(20\) 2.53820 5.05397i 0.126910 0.252698i
\(21\) 14.3178 + 26.1668i 0.681798 + 1.24604i
\(22\) 15.7448 1.84030i 0.715671 0.0836500i
\(23\) 3.87583 5.89292i 0.168515 0.256214i −0.741351 0.671118i \(-0.765814\pi\)
0.909865 + 0.414904i \(0.136185\pi\)
\(24\) 6.92062 4.90968i 0.288359 0.204570i
\(25\) −4.87673 + 16.2894i −0.195069 + 0.651576i
\(26\) −18.9247 + 10.9262i −0.727875 + 0.420239i
\(27\) −6.50501 + 26.2047i −0.240926 + 0.970543i
\(28\) 9.94262 17.2211i 0.355094 0.615040i
\(29\) −27.5564 + 25.9981i −0.950220 + 0.896487i −0.994731 0.102522i \(-0.967309\pi\)
0.0445104 + 0.999009i \(0.485827\pi\)
\(30\) 8.43088 8.53539i 0.281029 0.284513i
\(31\) 3.19250 54.8131i 0.102984 1.76816i −0.412208 0.911090i \(-0.635242\pi\)
0.515192 0.857075i \(-0.327721\pi\)
\(32\) −5.19421 2.24057i −0.162319 0.0700177i
\(33\) 32.9736 + 6.59700i 0.999201 + 0.199909i
\(34\) 0.364069 + 6.25082i 0.0107079 + 0.183848i
\(35\) 9.61603 26.4198i 0.274744 0.754852i
\(36\) 17.1789 5.37450i 0.477192 0.149292i
\(37\) −37.2076 + 13.5425i −1.00561 + 0.366013i −0.791746 0.610850i \(-0.790828\pi\)
−0.213866 + 0.976863i \(0.568605\pi\)
\(38\) −14.4379 + 6.22789i −0.379944 + 0.163892i
\(39\) −45.3397 + 9.65345i −1.16256 + 0.247524i
\(40\) −7.78254 1.84450i −0.194563 0.0461124i
\(41\) −9.88313 + 41.7002i −0.241052 + 1.01708i 0.709055 + 0.705154i \(0.249122\pi\)
−0.950107 + 0.311925i \(0.899026\pi\)
\(42\) 31.3384 28.2366i 0.746152 0.672301i
\(43\) −27.3467 63.3968i −0.635970 1.47435i −0.865431 0.501027i \(-0.832956\pi\)
0.229461 0.973318i \(-0.426304\pi\)
\(44\) −7.66742 21.0661i −0.174260 0.478774i
\(45\) 22.6004 11.7012i 0.502231 0.260027i
\(46\) −9.37327 3.41159i −0.203767 0.0741650i
\(47\) 62.3782 3.63312i 1.32720 0.0773003i 0.620158 0.784477i \(-0.287068\pi\)
0.707037 + 0.707176i \(0.250031\pi\)
\(48\) −9.01327 7.92218i −0.187776 0.165045i
\(49\) 19.7468 45.7783i 0.402997 0.934251i
\(50\) 24.0062 + 1.39820i 0.480125 + 0.0279641i
\(51\) −3.35866 + 12.8508i −0.0658561 + 0.251977i
\(52\) 21.2076 + 22.4787i 0.407838 + 0.432283i
\(53\) −63.7434 36.8023i −1.20271 0.694382i −0.241549 0.970389i \(-0.577656\pi\)
−0.961156 + 0.276006i \(0.910989\pi\)
\(54\) 38.1816 + 0.405101i 0.707067 + 0.00750188i
\(55\) −15.8482 27.4500i −0.288150 0.499090i
\(56\) −26.9406 8.06547i −0.481081 0.144026i
\(57\) −33.2098 + 3.11173i −0.582628 + 0.0545917i
\(58\) 44.7631 + 29.4411i 0.771777 + 0.507606i
\(59\) −2.12952 18.2192i −0.0360935 0.308800i −0.999211 0.0397184i \(-0.987354\pi\)
0.963117 0.269082i \(-0.0867201\pi\)
\(60\) −14.4951 8.81794i −0.241586 0.146966i
\(61\) 35.5347 + 17.8462i 0.582537 + 0.292561i 0.715559 0.698552i \(-0.246172\pi\)
−0.133023 + 0.991113i \(0.542468\pi\)
\(62\) −76.4692 + 13.4836i −1.23337 + 0.217477i
\(63\) 81.7224 36.4522i 1.29718 0.578606i
\(64\) −1.38919 + 7.87846i −0.0217060 + 0.123101i
\(65\) 35.0484 + 26.0926i 0.539207 + 0.401425i
\(66\) −1.67593 47.5263i −0.0253929 0.720096i
\(67\) 12.7808 13.5469i 0.190758 0.202192i −0.624935 0.780677i \(-0.714874\pi\)
0.815693 + 0.578485i \(0.196356\pi\)
\(68\) 8.48297 2.53964i 0.124750 0.0373476i
\(69\) −16.6786 13.0216i −0.241719 0.188718i
\(70\) −39.4923 4.61599i −0.564176 0.0659427i
\(71\) −16.0682 + 19.1493i −0.226313 + 0.269709i −0.867238 0.497895i \(-0.834107\pi\)
0.640925 + 0.767604i \(0.278551\pi\)
\(72\) −12.9985 21.8869i −0.180535 0.303985i
\(73\) 46.5772 39.0829i 0.638043 0.535382i −0.265373 0.964146i \(-0.585495\pi\)
0.903417 + 0.428764i \(0.141051\pi\)
\(74\) 30.7706 + 46.7844i 0.415819 + 0.632222i
\(75\) 47.5223 + 18.5413i 0.633630 + 0.247217i
\(76\) 13.2789 + 17.8367i 0.174723 + 0.234693i
\(77\) −50.0174 99.5928i −0.649576 1.29341i
\(78\) 28.0711 + 59.2432i 0.359886 + 0.759529i
\(79\) −51.7309 + 12.2605i −0.654822 + 0.155196i −0.544580 0.838709i \(-0.683311\pi\)
−0.110242 + 0.993905i \(0.535163\pi\)
\(80\) 11.3111i 0.141388i
\(81\) 76.7745 + 25.8200i 0.947834 + 0.318765i
\(82\) 60.6067 0.739106
\(83\) 2.26668 + 9.56388i 0.0273094 + 0.115228i 0.984992 0.172598i \(-0.0552160\pi\)
−0.957683 + 0.287825i \(0.907068\pi\)
\(84\) −49.0770 33.9155i −0.584249 0.403755i
\(85\) 11.1882 5.61892i 0.131626 0.0661049i
\(86\) −78.3211 + 58.3079i −0.910711 + 0.677999i
\(87\) 71.0403 + 88.7163i 0.816555 + 1.01973i
\(88\) −26.4882 + 17.4216i −0.301003 + 0.197973i
\(89\) −3.97168 4.73327i −0.0446256 0.0531828i 0.743270 0.668992i \(-0.233274\pi\)
−0.787896 + 0.615809i \(0.788829\pi\)
\(90\) −23.4728 27.2840i −0.260809 0.303156i
\(91\) 117.690 + 98.7535i 1.29330 + 1.08520i
\(92\) −1.63767 + 14.0112i −0.0178007 + 0.152295i
\(93\) −163.123 22.8685i −1.75401 0.245898i
\(94\) −25.3435 84.6533i −0.269612 0.900567i
\(95\) 22.8688 + 21.5756i 0.240725 + 0.227112i
\(96\) −7.96207 + 14.9868i −0.0829382 + 0.156113i
\(97\) −31.9894 + 42.9693i −0.329788 + 0.442982i −0.935831 0.352450i \(-0.885349\pi\)
0.606043 + 0.795432i \(0.292756\pi\)
\(98\) −69.4355 12.2433i −0.708525 0.124932i
\(99\) 27.7403 96.9922i 0.280205 0.979720i
\(100\) −5.90534 33.4908i −0.0590534 0.334908i
\(101\) −54.8360 + 109.187i −0.542931 + 1.08106i 0.440156 + 0.897921i \(0.354923\pi\)
−0.983086 + 0.183142i \(0.941373\pi\)
\(102\) 18.7793 + 0.430667i 0.184111 + 0.00422222i
\(103\) −175.719 + 20.5385i −1.70600 + 0.199403i −0.912476 0.409130i \(-0.865832\pi\)
−0.793529 + 0.608533i \(0.791758\pi\)
\(104\) 24.0162 36.5148i 0.230925 0.351104i
\(105\) −76.6617 35.1747i −0.730112 0.334997i
\(106\) −29.8541 + 99.7195i −0.281642 + 0.940750i
\(107\) 126.882 73.2554i 1.18581 0.684630i 0.228462 0.973553i \(-0.426630\pi\)
0.957352 + 0.288923i \(0.0932971\pi\)
\(108\) −11.8951 52.6736i −0.110140 0.487718i
\(109\) −68.5628 + 118.754i −0.629017 + 1.08949i 0.358733 + 0.933440i \(0.383209\pi\)
−0.987749 + 0.156048i \(0.950124\pi\)
\(110\) −32.6050 + 30.7612i −0.296409 + 0.279647i
\(111\) 31.4504 + 114.548i 0.283337 + 1.03196i
\(112\) −2.31245 + 39.7032i −0.0206469 + 0.354493i
\(113\) 171.704 + 74.0661i 1.51951 + 0.655452i 0.982184 0.187924i \(-0.0601758\pi\)
0.537324 + 0.843376i \(0.319435\pi\)
\(114\) 15.1131 + 44.6849i 0.132571 + 0.391973i
\(115\) 1.15970 + 19.9112i 0.0100843 + 0.173141i
\(116\) 25.9147 71.2001i 0.223403 0.613794i
\(117\) 17.8452 + 137.918i 0.152523 + 1.17879i
\(118\) −24.3768 + 8.87243i −0.206583 + 0.0751901i
\(119\) 40.4206 17.4358i 0.339669 0.146519i
\(120\) −7.40687 + 22.8226i −0.0617239 + 0.190188i
\(121\) −4.51709 1.07057i −0.0373313 0.00884769i
\(122\) 12.9688 54.7195i 0.106301 0.448520i
\(123\) 122.287 + 39.6873i 0.994206 + 0.322661i
\(124\) 43.4943 + 100.831i 0.350761 + 0.813154i
\(125\) −40.6240 111.614i −0.324992 0.892909i
\(126\) −76.8145 100.569i −0.609639 0.798168i
\(127\) 73.9338 + 26.9097i 0.582156 + 0.211887i 0.616276 0.787530i \(-0.288641\pi\)
−0.0341200 + 0.999418i \(0.510863\pi\)
\(128\) 11.2946 0.657834i 0.0882388 0.00513933i
\(129\) −196.212 + 66.3617i −1.52102 + 0.514432i
\(130\) 24.4751 56.7398i 0.188270 0.436460i
\(131\) 76.3105 + 4.44458i 0.582523 + 0.0339281i 0.346877 0.937911i \(-0.387242\pi\)
0.235646 + 0.971839i \(0.424279\pi\)
\(132\) −64.8541 + 17.8065i −0.491319 + 0.134898i
\(133\) 75.8615 + 80.4085i 0.570387 + 0.604575i
\(134\) −22.8101 13.1694i −0.170224 0.0982791i
\(135\) −29.4951 70.4224i −0.218482 0.521647i
\(136\) −6.26141 10.8451i −0.0460398 0.0797433i
\(137\) −68.6858 20.5632i −0.501356 0.150096i 0.0261321 0.999658i \(-0.491681\pi\)
−0.527488 + 0.849562i \(0.676866\pi\)
\(138\) −12.4793 + 27.1982i −0.0904300 + 0.197088i
\(139\) 54.7620 + 36.0175i 0.393971 + 0.259119i 0.731003 0.682374i \(-0.239053\pi\)
−0.337032 + 0.941493i \(0.609423\pi\)
\(140\) 6.52800 + 55.8506i 0.0466286 + 0.398933i
\(141\) 4.29771 187.402i 0.0304802 1.32910i
\(142\) 31.5918 + 15.8660i 0.222477 + 0.111732i
\(143\) 170.570 30.0762i 1.19280 0.210323i
\(144\) −25.8791 + 25.0254i −0.179716 + 0.173788i
\(145\) 18.6028 105.502i 0.128295 0.727598i
\(146\) −68.9724 51.3480i −0.472413 0.351699i
\(147\) −132.084 70.1724i −0.898530 0.477363i
\(148\) 54.3442 57.6015i 0.367191 0.389199i
\(149\) 29.7988 8.92119i 0.199992 0.0598737i −0.185240 0.982693i \(-0.559306\pi\)
0.385233 + 0.922819i \(0.374121\pi\)
\(150\) 10.0156 71.4421i 0.0667708 0.476281i
\(151\) −247.313 28.9067i −1.63783 0.191435i −0.753223 0.657765i \(-0.771502\pi\)
−0.884611 + 0.466329i \(0.845576\pi\)
\(152\) 20.2142 24.0903i 0.132988 0.158489i
\(153\) 37.6094 + 13.1663i 0.245813 + 0.0860542i
\(154\) −120.736 + 101.310i −0.784002 + 0.657855i
\(155\) 85.3175 + 129.719i 0.550435 + 0.836896i
\(156\) 72.3691 57.9501i 0.463904 0.371475i
\(157\) −129.302 173.682i −0.823577 1.10626i −0.992694 0.120660i \(-0.961499\pi\)
0.169117 0.985596i \(-0.445908\pi\)
\(158\) 33.7431 + 67.1880i 0.213564 + 0.425240i
\(159\) −125.537 + 181.657i −0.789540 + 1.14249i
\(160\) 15.5651 3.68899i 0.0972817 0.0230562i
\(161\) 70.1280i 0.435577i
\(162\) 10.4915 114.070i 0.0647622 0.704135i
\(163\) 320.066 1.96360 0.981798 0.189930i \(-0.0608261\pi\)
0.981798 + 0.189930i \(0.0608261\pi\)
\(164\) −19.7663 83.4004i −0.120526 0.508539i
\(165\) −85.9312 + 40.7166i −0.520795 + 0.246767i
\(166\) 12.4215 6.23833i 0.0748286 0.0375803i
\(167\) 78.1353 58.1696i 0.467876 0.348321i −0.337259 0.941412i \(-0.609500\pi\)
0.805135 + 0.593091i \(0.202093\pi\)
\(168\) −30.6649 + 78.5957i −0.182529 + 0.467831i
\(169\) −58.2869 + 38.3359i −0.344893 + 0.226840i
\(170\) −11.3811 13.5634i −0.0669475 0.0797849i
\(171\) 1.23274 + 100.058i 0.00720899 + 0.585136i
\(172\) 105.781 + 88.7606i 0.615004 + 0.516050i
\(173\) −14.1830 + 121.343i −0.0819824 + 0.701404i 0.888272 + 0.459317i \(0.151906\pi\)
−0.970255 + 0.242087i \(0.922168\pi\)
\(174\) 98.9129 126.692i 0.568465 0.728115i
\(175\) −48.4875 161.959i −0.277071 0.925482i
\(176\) 32.6126 + 30.7684i 0.185299 + 0.174820i
\(177\) −54.9955 + 1.93932i −0.310709 + 0.0109566i
\(178\) −5.21809 + 7.00911i −0.0293151 + 0.0393770i
\(179\) −247.540 43.6480i −1.38291 0.243844i −0.567806 0.823163i \(-0.692208\pi\)
−0.815101 + 0.579319i \(0.803319\pi\)
\(180\) −29.8900 + 41.1992i −0.166055 + 0.228885i
\(181\) −27.4797 155.845i −0.151822 0.861023i −0.961634 0.274334i \(-0.911543\pi\)
0.809813 0.586688i \(-0.199569\pi\)
\(182\) 97.5107 194.160i 0.535773 1.06681i
\(183\) 61.9995 101.916i 0.338795 0.556919i
\(184\) 19.8148 2.31601i 0.107689 0.0125870i
\(185\) 61.5268 93.5470i 0.332577 0.505659i
\(186\) 21.7317 + 231.931i 0.116837 + 1.24694i
\(187\) 14.2334 47.5429i 0.0761145 0.254240i
\(188\) −108.225 + 62.4839i −0.575666 + 0.332361i
\(189\) −89.1341 253.221i −0.471609 1.33979i
\(190\) 22.2317 38.5063i 0.117009 0.202665i
\(191\) −6.38254 + 6.02162i −0.0334164 + 0.0315268i −0.702769 0.711418i \(-0.748053\pi\)
0.669352 + 0.742945i \(0.266572\pi\)
\(192\) 23.2200 + 6.06874i 0.120938 + 0.0316080i
\(193\) −6.05934 + 104.035i −0.0313955 + 0.539040i 0.945540 + 0.325506i \(0.105535\pi\)
−0.976936 + 0.213534i \(0.931502\pi\)
\(194\) 69.5628 + 30.0064i 0.358571 + 0.154672i
\(195\) 86.5391 98.4578i 0.443790 0.504912i
\(196\) 5.79770 + 99.5427i 0.0295801 + 0.507871i
\(197\) 133.946 368.014i 0.679931 1.86809i 0.237113 0.971482i \(-0.423799\pi\)
0.442818 0.896612i \(-0.353979\pi\)
\(198\) −142.518 6.54017i −0.719786 0.0330311i
\(199\) −62.9827 + 22.9238i −0.316496 + 0.115195i −0.495383 0.868674i \(-0.664972\pi\)
0.178887 + 0.983870i \(0.442750\pi\)
\(200\) −44.1605 + 19.0490i −0.220803 + 0.0952450i
\(201\) −37.4006 41.5090i −0.186072 0.206512i
\(202\) 168.136 + 39.8490i 0.832358 + 0.197272i
\(203\) 86.8670 366.521i 0.427916 1.80552i
\(204\) −5.53205 25.9825i −0.0271179 0.127365i
\(205\) −47.9989 111.274i −0.234141 0.542800i
\(206\) 85.5718 + 235.107i 0.415397 + 1.14129i
\(207\) −42.9901 + 46.7064i −0.207682 + 0.225635i
\(208\) −58.0805 21.1396i −0.279233 0.101633i
\(209\) 124.416 7.24640i 0.595291 0.0346718i
\(210\) −23.4012 + 116.966i −0.111434 + 0.556979i
\(211\) −47.4040 + 109.895i −0.224663 + 0.520829i −0.992846 0.119402i \(-0.961902\pi\)
0.768182 + 0.640231i \(0.221161\pi\)
\(212\) 146.960 + 8.55944i 0.693207 + 0.0403747i
\(213\) 53.3538 + 52.7005i 0.250487 + 0.247420i
\(214\) −142.188 150.710i −0.664428 0.704253i
\(215\) 169.082 + 97.6194i 0.786427 + 0.454044i
\(216\) −68.6043 + 33.5477i −0.317612 + 0.155314i
\(217\) 272.955 + 472.772i 1.25786 + 2.17867i
\(218\) 185.778 + 55.6183i 0.852193 + 0.255130i
\(219\) −105.542 148.771i −0.481929 0.679321i
\(220\) 52.9641 + 34.8350i 0.240746 + 0.158341i
\(221\) 7.94232 + 67.9509i 0.0359381 + 0.307470i
\(222\) 147.371 80.6372i 0.663832 0.363231i
\(223\) 222.332 + 111.659i 0.997004 + 0.500714i 0.870983 0.491313i \(-0.163483\pi\)
0.126021 + 0.992028i \(0.459779\pi\)
\(224\) 55.3895 9.76666i 0.247274 0.0436012i
\(225\) 66.9915 137.592i 0.297740 0.611518i
\(226\) 45.9221 260.437i 0.203195 1.15238i
\(227\) −235.629 175.419i −1.03801 0.772771i −0.0636991 0.997969i \(-0.520290\pi\)
−0.974313 + 0.225198i \(0.927697\pi\)
\(228\) 56.5617 35.3706i 0.248078 0.155134i
\(229\) −101.180 + 107.245i −0.441834 + 0.468317i −0.909570 0.415552i \(-0.863589\pi\)
0.467735 + 0.883869i \(0.345070\pi\)
\(230\) 27.0215 8.08971i 0.117485 0.0351726i
\(231\) −309.953 + 125.352i −1.34179 + 0.542651i
\(232\) −106.430 12.4399i −0.458749 0.0536201i
\(233\) −265.405 + 316.298i −1.13908 + 1.35750i −0.214404 + 0.976745i \(0.568781\pi\)
−0.924675 + 0.380757i \(0.875663\pi\)
\(234\) 183.968 69.5373i 0.786189 0.297168i
\(235\) −135.352 + 113.574i −0.575967 + 0.483294i
\(236\) 20.1595 + 30.6511i 0.0854218 + 0.129878i
\(237\) 24.0871 + 157.663i 0.101633 + 0.665243i
\(238\) −37.1760 49.9361i −0.156202 0.209815i
\(239\) −122.619 244.154i −0.513048 1.02156i −0.989792 0.142520i \(-0.954479\pi\)
0.476744 0.879042i \(-0.341817\pi\)
\(240\) 33.8216 + 2.74919i 0.140923 + 0.0114550i
\(241\) −2.55997 + 0.606725i −0.0106223 + 0.00251753i −0.235924 0.971772i \(-0.575812\pi\)
0.225301 + 0.974289i \(0.427663\pi\)
\(242\) 6.56510i 0.0271285i
\(243\) 95.8657 223.291i 0.394509 0.918892i
\(244\) −79.5287 −0.325937
\(245\) 32.5123 + 137.180i 0.132703 + 0.559919i
\(246\) 14.7307 181.222i 0.0598807 0.736676i
\(247\) −153.528 + 77.1045i −0.621570 + 0.312164i
\(248\) 124.568 92.7373i 0.502290 0.373941i
\(249\) 29.1483 4.45316i 0.117061 0.0178842i
\(250\) −140.342 + 92.3041i −0.561366 + 0.369217i
\(251\) 191.950 + 228.757i 0.764740 + 0.911381i 0.998138 0.0610000i \(-0.0194290\pi\)
−0.233398 + 0.972381i \(0.574985\pi\)
\(252\) −113.340 + 138.504i −0.449763 + 0.549617i
\(253\) 60.5637 + 50.8189i 0.239382 + 0.200865i
\(254\) 12.9175 110.516i 0.0508562 0.435103i
\(255\) −14.0820 34.8199i −0.0552236 0.136549i
\(256\) −4.58885 15.3278i −0.0179252 0.0598743i
\(257\) 62.2222 + 58.7036i 0.242110 + 0.228419i 0.797726 0.603020i \(-0.206036\pi\)
−0.555616 + 0.831439i \(0.687518\pi\)
\(258\) 155.312 + 248.363i 0.601986 + 0.962647i
\(259\) 235.091 315.783i 0.907689 1.21924i
\(260\) −86.0615 15.1750i −0.331006 0.0583653i
\(261\) 282.541 190.857i 1.08253 0.731254i
\(262\) −18.7718 106.460i −0.0716479 0.406336i
\(263\) −177.079 + 352.593i −0.673303 + 1.34066i 0.254313 + 0.967122i \(0.418151\pi\)
−0.927616 + 0.373534i \(0.878146\pi\)
\(264\) 45.6549 + 83.4378i 0.172935 + 0.316052i
\(265\) 206.729 24.1631i 0.780109 0.0911817i
\(266\) 85.9081 130.617i 0.322963 0.491041i
\(267\) −15.1184 + 10.7254i −0.0566234 + 0.0401702i
\(268\) −10.6830 + 35.6839i −0.0398621 + 0.133149i
\(269\) −315.709 + 182.275i −1.17364 + 0.677601i −0.954534 0.298101i \(-0.903647\pi\)
−0.219104 + 0.975701i \(0.570314\pi\)
\(270\) −87.2882 + 63.5556i −0.323290 + 0.235391i
\(271\) −193.239 + 334.699i −0.713058 + 1.23505i 0.250646 + 0.968079i \(0.419357\pi\)
−0.963704 + 0.266973i \(0.913976\pi\)
\(272\) −12.8818 + 12.1533i −0.0473594 + 0.0446813i
\(273\) 323.892 327.907i 1.18642 1.20112i
\(274\) −5.89566 + 101.225i −0.0215170 + 0.369433i
\(275\) −175.008 75.4910i −0.636392 0.274513i
\(276\) 41.4972 + 8.30231i 0.150352 + 0.0300808i
\(277\) −13.0289 223.698i −0.0470358 0.807574i −0.936521 0.350610i \(-0.885974\pi\)
0.889486 0.456963i \(-0.151063\pi\)
\(278\) 31.7034 87.1044i 0.114041 0.313325i
\(279\) −108.028 + 482.201i −0.387196 + 1.72832i
\(280\) 74.7266 27.1982i 0.266881 0.0971366i
\(281\) −442.056 + 190.684i −1.57315 + 0.678592i −0.990923 0.134433i \(-0.957079\pi\)
−0.582230 + 0.813024i \(0.697819\pi\)
\(282\) −259.285 + 55.2054i −0.919450 + 0.195764i
\(283\) −369.542 87.5831i −1.30580 0.309481i −0.481907 0.876223i \(-0.660056\pi\)
−0.823895 + 0.566742i \(0.808204\pi\)
\(284\) 11.5297 48.6478i 0.0405976 0.171295i
\(285\) 70.0725 63.1370i 0.245868 0.221533i
\(286\) −97.0174 224.912i −0.339222 0.786405i
\(287\) −145.733 400.398i −0.507781 1.39512i
\(288\) 42.8775 + 27.4503i 0.148880 + 0.0953135i
\(289\) −253.151 92.1393i −0.875954 0.318821i
\(290\) −151.247 + 8.80915i −0.521543 + 0.0303764i
\(291\) 120.709 + 106.097i 0.414807 + 0.364593i
\(292\) −48.1650 + 111.659i −0.164949 + 0.382394i
\(293\) −393.983 22.9469i −1.34465 0.0783171i −0.629345 0.777126i \(-0.716677\pi\)
−0.715308 + 0.698809i \(0.753714\pi\)
\(294\) −53.4858 + 204.646i −0.181925 + 0.696074i
\(295\) 35.5956 + 37.7291i 0.120663 + 0.127895i
\(296\) −96.9889 55.9965i −0.327665 0.189178i
\(297\) −283.278 106.522i −0.953797 0.358659i
\(298\) −21.9950 38.0964i −0.0738087 0.127840i
\(299\) −104.408 31.2578i −0.349192 0.104541i
\(300\) −101.578 + 9.51772i −0.338592 + 0.0317257i
\(301\) 573.540 + 377.223i 1.90545 + 1.25323i
\(302\) 40.8803 + 349.753i 0.135365 + 1.15812i
\(303\) 313.157 + 190.506i 1.03352 + 0.628731i
\(304\) −39.7432 19.9598i −0.130734 0.0656571i
\(305\) −110.736 + 19.5257i −0.363069 + 0.0640188i
\(306\) 5.85213 56.0480i 0.0191246 0.183164i
\(307\) 20.6352 117.028i 0.0672155 0.381198i −0.932580 0.360964i \(-0.882448\pi\)
0.999795 0.0202341i \(-0.00644114\pi\)
\(308\) 178.789 + 133.103i 0.580482 + 0.432153i
\(309\) 18.7041 + 530.415i 0.0605311 + 1.71655i
\(310\) 150.680 159.711i 0.486064 0.515198i
\(311\) −225.310 + 67.4535i −0.724471 + 0.216892i −0.627745 0.778419i \(-0.716022\pi\)
−0.0967256 + 0.995311i \(0.530837\pi\)
\(312\) −103.347 80.6868i −0.331241 0.258611i
\(313\) −38.6695 4.51981i −0.123545 0.0144403i 0.0540958 0.998536i \(-0.482772\pi\)
−0.177641 + 0.984095i \(0.556846\pi\)
\(314\) −196.832 + 234.576i −0.626855 + 0.747056i
\(315\) −123.810 + 220.680i −0.393048 + 0.700571i
\(316\) 81.4519 68.3463i 0.257759 0.216286i
\(317\) 74.3212 + 113.000i 0.234452 + 0.356467i 0.933481 0.358626i \(-0.116755\pi\)
−0.699029 + 0.715093i \(0.746384\pi\)
\(318\) 290.919 + 113.505i 0.914840 + 0.356934i
\(319\) −253.584 340.623i −0.794935 1.06778i
\(320\) −10.1528 20.2159i −0.0317275 0.0631746i
\(321\) −188.205 397.200i −0.586308 1.23738i
\(322\) 96.5026 22.8715i 0.299698 0.0710296i
\(323\) 49.2267i 0.152405i
\(324\) −160.392 + 22.7655i −0.495038 + 0.0702639i
\(325\) 262.742 0.808436
\(326\) −104.386 440.441i −0.320204 1.35105i
\(327\) 338.427 + 233.876i 1.03495 + 0.715217i
\(328\) −108.320 + 54.4005i −0.330245 + 0.165855i
\(329\) −498.322 + 370.987i −1.51466 + 1.12762i
\(330\) 84.0555 + 104.970i 0.254714 + 0.318091i
\(331\) 393.834 259.029i 1.18983 0.782565i 0.209095 0.977895i \(-0.432948\pi\)
0.980737 + 0.195330i \(0.0625779\pi\)
\(332\) −12.6357 15.0586i −0.0380593 0.0453573i
\(333\) 350.157 66.1999i 1.05152 0.198799i
\(334\) −105.530 88.5500i −0.315957 0.265120i
\(335\) −6.11407 + 52.3092i −0.0182509 + 0.156147i
\(336\) 118.156 + 16.5645i 0.351655 + 0.0492992i
\(337\) −26.2384 87.6425i −0.0778588 0.260067i 0.910194 0.414182i \(-0.135932\pi\)
−0.988053 + 0.154116i \(0.950747\pi\)
\(338\) 71.7634 + 67.7053i 0.212318 + 0.200312i
\(339\) 263.201 495.418i 0.776404 1.46141i
\(340\) −14.9527 + 20.0850i −0.0439786 + 0.0590735i
\(341\) 606.093 + 106.871i 1.77740 + 0.313403i
\(342\) 137.287 34.3294i 0.401425 0.100378i
\(343\) 1.47741 + 8.37882i 0.00430732 + 0.0244280i
\(344\) 87.6435 174.513i 0.254778 0.507304i
\(345\) 59.8192 + 1.37184i 0.173389 + 0.00397634i
\(346\) 171.605 20.0577i 0.495968 0.0579703i
\(347\) −121.144 + 184.191i −0.349120 + 0.530811i −0.966772 0.255641i \(-0.917714\pi\)
0.617652 + 0.786451i \(0.288084\pi\)
\(348\) −206.599 94.7940i −0.593677 0.272397i
\(349\) 9.86567 32.9536i 0.0282684 0.0944230i −0.942691 0.333666i \(-0.891714\pi\)
0.970960 + 0.239243i \(0.0768993\pi\)
\(350\) −207.058 + 119.545i −0.591593 + 0.341556i
\(351\) 416.732 19.8381i 1.18727 0.0565189i
\(352\) 31.7039 54.9128i 0.0900679 0.156002i
\(353\) 27.5058 25.9504i 0.0779202 0.0735139i −0.646296 0.763086i \(-0.723683\pi\)
0.724217 + 0.689573i \(0.242202\pi\)
\(354\) 20.6049 + 75.0465i 0.0582060 + 0.211996i
\(355\) 4.11012 70.5680i 0.0115778 0.198783i
\(356\) 11.3470 + 4.89463i 0.0318736 + 0.0137489i
\(357\) −42.3110 125.101i −0.118518 0.350423i
\(358\) 20.6691 + 354.874i 0.0577348 + 0.991268i
\(359\) 89.2451 245.199i 0.248594 0.683005i −0.751145 0.660137i \(-0.770498\pi\)
0.999738 0.0228678i \(-0.00727969\pi\)
\(360\) 66.4423 + 27.6947i 0.184562 + 0.0769296i
\(361\) 223.065 81.1889i 0.617908 0.224900i
\(362\) −205.495 + 88.6419i −0.567666 + 0.244867i
\(363\) −4.29905 + 13.2465i −0.0118431 + 0.0364918i
\(364\) −298.984 70.8605i −0.821385 0.194672i
\(365\) −39.6508 + 167.300i −0.108632 + 0.458355i
\(366\) −160.467 52.0781i −0.438434 0.142290i
\(367\) 82.9914 + 192.396i 0.226135 + 0.524239i 0.993075 0.117479i \(-0.0374813\pi\)
−0.766941 + 0.641718i \(0.778222\pi\)
\(368\) −9.64944 26.5116i −0.0262213 0.0720424i
\(369\) 148.393 356.010i 0.402149 0.964796i
\(370\) −148.796 54.1572i −0.402151 0.146371i
\(371\) 730.584 42.5517i 1.96923 0.114694i
\(372\) 312.070 105.547i 0.838899 0.283728i
\(373\) −113.842 + 263.916i −0.305207 + 0.707549i −0.999931 0.0117270i \(-0.996267\pi\)
0.694724 + 0.719276i \(0.255526\pi\)
\(374\) −70.0656 4.08086i −0.187341 0.0109114i
\(375\) −343.614 + 94.3434i −0.916304 + 0.251582i
\(376\) 121.280 + 128.550i 0.322554 + 0.341887i
\(377\) 506.967 + 292.698i 1.34474 + 0.776386i
\(378\) −319.386 + 205.242i −0.844936 + 0.542969i
\(379\) −136.630 236.650i −0.360500 0.624405i 0.627543 0.778582i \(-0.284061\pi\)
−0.988043 + 0.154177i \(0.950727\pi\)
\(380\) −60.2390 18.0344i −0.158524 0.0474588i
\(381\) 98.4336 214.532i 0.258356 0.563076i
\(382\) 10.3679 + 6.81908i 0.0271411 + 0.0178510i
\(383\) 46.1202 + 394.584i 0.120418 + 1.03024i 0.909427 + 0.415863i \(0.136520\pi\)
−0.789009 + 0.614382i \(0.789406\pi\)
\(384\) 0.778169 33.9322i 0.00202648 0.0883651i
\(385\) 281.625 + 141.437i 0.731493 + 0.367370i
\(386\) 145.138 25.5917i 0.376005 0.0662997i
\(387\) 150.741 + 602.830i 0.389511 + 1.55770i
\(388\) 18.6045 105.511i 0.0479496 0.271936i
\(389\) −343.463 255.699i −0.882939 0.657324i 0.0571084 0.998368i \(-0.481812\pi\)
−0.940047 + 0.341044i \(0.889219\pi\)
\(390\) −163.711 86.9749i −0.419772 0.223012i
\(391\) −21.4301 + 22.7146i −0.0548085 + 0.0580936i
\(392\) 135.089 40.4431i 0.344615 0.103171i
\(393\) 31.8374 227.099i 0.0810113 0.577859i
\(394\) −550.107 64.2983i −1.39621 0.163194i
\(395\) 96.6336 115.163i 0.244642 0.291553i
\(396\) 37.4808 + 198.251i 0.0946485 + 0.500633i
\(397\) 344.789 289.312i 0.868486 0.728746i −0.0952929 0.995449i \(-0.530379\pi\)
0.963779 + 0.266703i \(0.0859343\pi\)
\(398\) 52.0865 + 79.1937i 0.130871 + 0.198979i
\(399\) 258.871 207.293i 0.648799 0.519531i
\(400\) 40.6157 + 54.5564i 0.101539 + 0.136391i
\(401\) −277.126 551.803i −0.691087 1.37607i −0.915797 0.401642i \(-0.868440\pi\)
0.224709 0.974426i \(-0.427857\pi\)
\(402\) −44.9224 + 65.0044i −0.111747 + 0.161702i
\(403\) −825.538 + 195.656i −2.04848 + 0.485499i
\(404\) 244.368i 0.604870i
\(405\) −217.741 + 71.0780i −0.537633 + 0.175501i
\(406\) −532.697 −1.31206
\(407\) −102.354 431.864i −0.251483 1.06109i
\(408\) −33.9502 + 16.0866i −0.0832112 + 0.0394278i
\(409\) 365.789 183.706i 0.894350 0.449159i 0.0586074 0.998281i \(-0.481334\pi\)
0.835742 + 0.549122i \(0.185038\pi\)
\(410\) −137.469 + 102.342i −0.335290 + 0.249614i
\(411\) −78.1811 + 200.382i −0.190222 + 0.487548i
\(412\) 295.620 194.432i 0.717525 0.471923i
\(413\) 117.231 + 139.711i 0.283853 + 0.338283i
\(414\) 78.2932 + 43.9255i 0.189114 + 0.106100i
\(415\) −21.2911 17.8654i −0.0513039 0.0430491i
\(416\) −10.1476 + 86.8186i −0.0243934 + 0.208699i
\(417\) 121.007 154.992i 0.290186 0.371683i
\(418\) −50.5487 168.844i −0.120930 0.403934i
\(419\) 188.756 + 178.082i 0.450493 + 0.425018i 0.877755 0.479110i \(-0.159040\pi\)
−0.427262 + 0.904128i \(0.640522\pi\)
\(420\) 168.588 5.94494i 0.401399 0.0141546i
\(421\) 421.680 566.415i 1.00162 1.34540i 0.0639175 0.997955i \(-0.479641\pi\)
0.937699 0.347449i \(-0.112952\pi\)
\(422\) 166.686 + 29.3912i 0.394990 + 0.0696474i
\(423\) −559.314 58.3995i −1.32226 0.138060i
\(424\) −36.1509 205.022i −0.0852617 0.483543i
\(425\) 33.7873 67.2761i 0.0794996 0.158297i
\(426\) 55.1200 90.6075i 0.129390 0.212694i
\(427\) −392.689 + 45.8987i −0.919646 + 0.107491i
\(428\) −161.018 + 244.816i −0.376210 + 0.572000i
\(429\) −48.4742 517.339i −0.112993 1.20592i
\(430\) 79.1891 264.510i 0.184161 0.615139i
\(431\) 290.769 167.875i 0.674637 0.389502i −0.123194 0.992383i \(-0.539314\pi\)
0.797831 + 0.602881i \(0.205980\pi\)
\(432\) 68.5394 + 83.4646i 0.158656 + 0.193205i
\(433\) −49.3806 + 85.5298i −0.114043 + 0.197528i −0.917397 0.397974i \(-0.869714\pi\)
0.803354 + 0.595502i \(0.203047\pi\)
\(434\) 561.556 529.801i 1.29391 1.22074i
\(435\) −310.943 81.2675i −0.714812 0.186822i
\(436\) 15.9463 273.787i 0.0365741 0.627952i
\(437\) −72.0076 31.0611i −0.164777 0.0710780i
\(438\) −170.302 + 193.757i −0.388817 + 0.442367i
\(439\) −36.2353 622.136i −0.0825405 1.41717i −0.744498 0.667624i \(-0.767311\pi\)
0.661958 0.749541i \(-0.269726\pi\)
\(440\) 30.6625 84.2446i 0.0696875 0.191465i
\(441\) −241.928 + 377.894i −0.548591 + 0.856902i
\(442\) 90.9165 33.0909i 0.205693 0.0748663i
\(443\) 360.330 155.431i 0.813386 0.350861i 0.0515828 0.998669i \(-0.483573\pi\)
0.761804 + 0.647808i \(0.224314\pi\)
\(444\) −159.028 176.497i −0.358171 0.397516i
\(445\) 17.0013 + 4.02939i 0.0382053 + 0.00905481i
\(446\) 81.1422 342.366i 0.181933 0.767637i
\(447\) −19.4329 91.2710i −0.0434740 0.204186i
\(448\) −31.5046 73.0358i −0.0703227 0.163026i
\(449\) 92.2020 + 253.323i 0.205350 + 0.564193i 0.999025 0.0441480i \(-0.0140573\pi\)
−0.793675 + 0.608342i \(0.791835\pi\)
\(450\) −211.188 47.3123i −0.469306 0.105139i
\(451\) −451.398 164.295i −1.00088 0.364291i
\(452\) −373.363 + 21.7459i −0.826024 + 0.0481104i
\(453\) −146.545 + 732.474i −0.323500 + 1.61694i
\(454\) −164.545 + 381.458i −0.362434 + 0.840217i
\(455\) −433.704 25.2604i −0.953195 0.0555173i
\(456\) −67.1202 66.2984i −0.147193 0.145391i
\(457\) 190.306 + 201.712i 0.416423 + 0.441383i 0.901297 0.433201i \(-0.142616\pi\)
−0.484874 + 0.874584i \(0.661135\pi\)
\(458\) 180.577 + 104.256i 0.394274 + 0.227634i
\(459\) 48.5101 109.257i 0.105687 0.238033i
\(460\) −19.9450 34.5457i −0.0433587 0.0750994i
\(461\) −732.325 219.244i −1.58856 0.475583i −0.633931 0.773389i \(-0.718560\pi\)
−0.954626 + 0.297806i \(0.903745\pi\)
\(462\) 273.585 + 385.642i 0.592175 + 0.834722i
\(463\) 59.4569 + 39.1055i 0.128417 + 0.0844610i 0.612092 0.790786i \(-0.290328\pi\)
−0.483675 + 0.875247i \(0.660698\pi\)
\(464\) 17.5926 + 150.514i 0.0379151 + 0.324385i
\(465\) 408.614 223.582i 0.878740 0.480822i
\(466\) 521.815 + 262.065i 1.11977 + 0.562372i
\(467\) −387.624 + 68.3485i −0.830029 + 0.146357i −0.572490 0.819911i \(-0.694023\pi\)
−0.257539 + 0.966268i \(0.582912\pi\)
\(468\) −155.689 230.479i −0.332669 0.492476i
\(469\) −32.1553 + 182.362i −0.0685613 + 0.388831i
\(470\) 200.432 + 149.216i 0.426452 + 0.317481i
\(471\) −550.761 + 344.415i −1.16934 + 0.731243i
\(472\) 35.6039 37.7380i 0.0754320 0.0799533i
\(473\) 741.398 221.960i 1.56744 0.469260i
\(474\) 209.103 84.5661i 0.441145 0.178410i
\(475\) 187.777 + 21.9479i 0.395319 + 0.0462062i
\(476\) −56.5921 + 67.4438i −0.118891 + 0.141689i
\(477\) 512.666 + 419.525i 1.07477 + 0.879507i
\(478\) −295.987 + 248.363i −0.619220 + 0.519587i
\(479\) 177.581 + 269.999i 0.370733 + 0.563672i 0.971883 0.235464i \(-0.0756611\pi\)
−0.601150 + 0.799136i \(0.705291\pi\)
\(480\) −7.24745 47.4383i −0.0150988 0.0988299i
\(481\) 365.359 + 490.763i 0.759583 + 1.02030i
\(482\) 1.66982 + 3.32488i 0.00346435 + 0.00689810i
\(483\) 209.692 + 17.0448i 0.434146 + 0.0352895i
\(484\) 9.03419 2.14114i 0.0186657 0.00442385i
\(485\) 151.482i 0.312333i
\(486\) −338.535 59.0960i −0.696573 0.121597i
\(487\) −707.994 −1.45379 −0.726893 0.686750i \(-0.759037\pi\)
−0.726893 + 0.686750i \(0.759037\pi\)
\(488\) 25.9375 + 109.439i 0.0531506 + 0.224260i
\(489\) 77.7931 957.042i 0.159086 1.95714i
\(490\) 178.169 89.4799i 0.363610 0.182612i
\(491\) −461.328 + 343.446i −0.939568 + 0.699482i −0.953808 0.300416i \(-0.902874\pi\)
0.0142402 + 0.999899i \(0.495467\pi\)
\(492\) −254.183 + 38.8331i −0.516632 + 0.0789291i
\(493\) 140.140 92.1716i 0.284260 0.186961i
\(494\) 156.175 + 186.122i 0.316143 + 0.376764i
\(495\) 100.862 + 266.842i 0.203763 + 0.539075i
\(496\) −168.242 141.172i −0.339197 0.284620i
\(497\) 28.8540 246.862i 0.0580564 0.496704i
\(498\) −15.6344 38.6584i −0.0313943 0.0776272i
\(499\) 74.3895 + 248.478i 0.149077 + 0.497952i 0.999609 0.0279717i \(-0.00890484\pi\)
−0.850532 + 0.525924i \(0.823720\pi\)
\(500\) 172.790 + 163.019i 0.345580 + 0.326038i
\(501\) −154.944 247.774i −0.309269 0.494558i
\(502\) 252.188 338.747i 0.502367 0.674796i
\(503\) −534.968 94.3293i −1.06356 0.187533i −0.385622 0.922657i \(-0.626013\pi\)
−0.677933 + 0.735123i \(0.737124\pi\)
\(504\) 227.559 + 110.795i 0.451505 + 0.219832i
\(505\) −59.9967 340.258i −0.118805 0.673778i
\(506\) 50.1794 99.9153i 0.0991687 0.197461i
\(507\) 100.463 + 183.603i 0.198151 + 0.362137i
\(508\) −156.293 + 18.2681i −0.307664 + 0.0359608i
\(509\) 95.2560 144.830i 0.187143 0.284538i −0.729714 0.683752i \(-0.760347\pi\)
0.916857 + 0.399215i \(0.130717\pi\)
\(510\) −43.3228 + 30.7343i −0.0849466 + 0.0602634i
\(511\) −173.382 + 579.136i −0.339299 + 1.13334i
\(512\) −19.5959 + 11.3137i −0.0382733 + 0.0220971i
\(513\) 299.488 + 20.6334i 0.583796 + 0.0402211i
\(514\) 60.4885 104.769i 0.117682 0.203831i
\(515\) 363.886 343.308i 0.706574 0.666618i
\(516\) 291.117 294.726i 0.564180 0.571173i
\(517\) −40.7237 + 699.199i −0.0787692 + 1.35241i
\(518\) −511.219 220.518i −0.986909 0.425711i
\(519\) 359.385 + 71.9018i 0.692457 + 0.138539i
\(520\) 7.18594 + 123.378i 0.0138191 + 0.237265i
\(521\) −215.507 + 592.101i −0.413641 + 1.13647i 0.541599 + 0.840637i \(0.317819\pi\)
−0.955240 + 0.295832i \(0.904403\pi\)
\(522\) −354.785 326.556i −0.679666 0.625586i
\(523\) 440.820 160.446i 0.842869 0.306779i 0.115739 0.993280i \(-0.463076\pi\)
0.727129 + 0.686500i \(0.240854\pi\)
\(524\) −140.377 + 60.5526i −0.267894 + 0.115558i
\(525\) −496.066 + 105.619i −0.944888 + 0.201180i
\(526\) 542.953 + 128.682i 1.03223 + 0.244643i
\(527\) −56.0617 + 236.543i −0.106379 + 0.448848i
\(528\) 99.9284 90.0378i 0.189258 0.170526i
\(529\) 189.822 + 440.056i 0.358831 + 0.831865i
\(530\) −100.673 276.598i −0.189950 0.521882i
\(531\) −7.56801 + 164.916i −0.0142524 + 0.310575i
\(532\) −207.759 75.6181i −0.390525 0.142139i
\(533\) 661.081 38.5036i 1.24030 0.0722393i
\(534\) 19.6899 + 17.3064i 0.0368725 + 0.0324090i
\(535\) −164.095 + 380.415i −0.306720 + 0.711057i
\(536\) 52.5885 + 3.06293i 0.0981128 + 0.00571442i
\(537\) −190.679 + 729.571i −0.355082 + 1.35861i
\(538\) 353.792 + 374.998i 0.657606 + 0.697022i
\(539\) 483.964 + 279.417i 0.897893 + 0.518399i
\(540\) 115.927 + 99.3887i 0.214679 + 0.184053i
\(541\) 188.264 + 326.083i 0.347993 + 0.602742i 0.985893 0.167378i \(-0.0535300\pi\)
−0.637900 + 0.770119i \(0.720197\pi\)
\(542\) 523.600 + 156.756i 0.966052 + 0.289217i
\(543\) −472.677 + 44.2894i −0.870492 + 0.0815643i
\(544\) 20.9253 + 13.7628i 0.0384657 + 0.0252993i
\(545\) −45.0161 385.137i −0.0825983 0.706674i
\(546\) −556.864 338.762i −1.01990 0.620443i
\(547\) 366.688 + 184.158i 0.670362 + 0.336668i 0.751215 0.660058i \(-0.229468\pi\)
−0.0808531 + 0.996726i \(0.525764\pi\)
\(548\) 141.217 24.9004i 0.257696 0.0454387i
\(549\) −289.674 210.158i −0.527640 0.382802i
\(550\) −46.8056 + 265.448i −0.0851010 + 0.482632i
\(551\) 337.870 + 251.535i 0.613194 + 0.456506i
\(552\) −2.10916 59.8118i −0.00382093 0.108355i
\(553\) 362.740 384.482i 0.655949 0.695266i
\(554\) −303.580 + 90.8859i −0.547978 + 0.164054i
\(555\) −264.764 206.711i −0.477052 0.372451i
\(556\) −130.203 15.2186i −0.234179 0.0273716i
\(557\) 75.3542 89.8037i 0.135286 0.161227i −0.694148 0.719832i \(-0.744219\pi\)
0.829434 + 0.558605i \(0.188663\pi\)
\(558\) 698.786 8.60919i 1.25231 0.0154287i
\(559\) −817.261 + 685.764i −1.46201 + 1.22677i
\(560\) −61.7987 93.9603i −0.110355 0.167786i
\(561\) −138.700 54.1154i −0.247238 0.0964623i
\(562\) 406.571 + 546.120i 0.723437 + 0.971744i
\(563\) 175.788 + 350.023i 0.312235 + 0.621710i 0.993941 0.109916i \(-0.0350580\pi\)
−0.681706 + 0.731626i \(0.738762\pi\)
\(564\) 160.531 + 338.795i 0.284629 + 0.600701i
\(565\) −514.532 + 121.946i −0.910677 + 0.215834i
\(566\) 537.089i 0.948920i
\(567\) −778.830 + 204.977i −1.37360 + 0.361512i
\(568\) −70.7042 −0.124479
\(569\) −25.3740 107.061i −0.0445939 0.188157i 0.946189 0.323614i \(-0.104898\pi\)
−0.990783 + 0.135457i \(0.956750\pi\)
\(570\) −109.736 75.8348i −0.192519 0.133044i
\(571\) 128.715 64.6431i 0.225420 0.113210i −0.332505 0.943101i \(-0.607894\pi\)
0.557925 + 0.829891i \(0.311598\pi\)
\(572\) −277.858 + 206.858i −0.485766 + 0.361639i
\(573\) 16.4542 + 20.5483i 0.0287158 + 0.0358608i
\(574\) −503.456 + 331.128i −0.877101 + 0.576878i
\(575\) 77.0908 + 91.8732i 0.134071 + 0.159779i
\(576\) 23.7901 67.9561i 0.0413022 0.117979i
\(577\) −808.987 678.821i −1.40206 1.17647i −0.960177 0.279393i \(-0.909867\pi\)
−0.441881 0.897074i \(-0.645689\pi\)
\(578\) −44.2297 + 378.409i −0.0765220 + 0.654687i
\(579\) 309.606 + 43.4042i 0.534725 + 0.0749642i
\(580\) 61.4500 + 205.257i 0.105948 + 0.353892i
\(581\) −71.0820 67.0624i −0.122344 0.115426i
\(582\) 106.631 200.709i 0.183215 0.344861i
\(583\) 492.677 661.779i 0.845071 1.13513i
\(584\) 169.362 + 29.8631i 0.290003 + 0.0511354i
\(585\) −273.369 282.694i −0.467297 0.483238i
\(586\) 96.9167 + 549.642i 0.165387 + 0.937955i
\(587\) 439.367 874.851i 0.748495 1.49038i −0.118980 0.992897i \(-0.537963\pi\)
0.867476 0.497480i \(-0.165741\pi\)
\(588\) 299.056 + 6.85826i 0.508598 + 0.0116637i
\(589\) −606.341 + 70.8711i −1.02944 + 0.120324i
\(590\) 40.3096 61.2878i 0.0683214 0.103878i
\(591\) −1067.86 489.965i −1.80687 0.829044i
\(592\) −45.4245 + 151.728i −0.0767306 + 0.256298i
\(593\) −125.582 + 72.5049i −0.211774 + 0.122268i −0.602136 0.798394i \(-0.705683\pi\)
0.390361 + 0.920662i \(0.372350\pi\)
\(594\) −54.1954 + 424.558i −0.0912380 + 0.714744i
\(595\) −62.2403 + 107.803i −0.104606 + 0.181182i
\(596\) −45.2508 + 42.6919i −0.0759241 + 0.0716307i
\(597\) 53.2372 + 193.899i 0.0891746 + 0.324788i
\(598\) −8.96191 + 153.870i −0.0149865 + 0.257308i
\(599\) 460.043 + 198.443i 0.768019 + 0.331291i 0.743788 0.668415i \(-0.233027\pi\)
0.0242308 + 0.999706i \(0.492286\pi\)
\(600\) 46.2258 + 136.676i 0.0770430 + 0.227793i
\(601\) 13.5977 + 233.463i 0.0226251 + 0.388457i 0.990544 + 0.137195i \(0.0438087\pi\)
−0.967919 + 0.251262i \(0.919154\pi\)
\(602\) 332.040 912.272i 0.551561 1.51540i
\(603\) −133.208 + 101.744i −0.220909 + 0.168730i
\(604\) 467.961 170.324i 0.774769 0.281993i
\(605\) 12.0535 5.19939i 0.0199232 0.00859403i
\(606\) 160.020 493.065i 0.264060 0.813639i
\(607\) 997.890 + 236.504i 1.64397 + 0.389628i 0.945400 0.325913i \(-0.105672\pi\)
0.698571 + 0.715541i \(0.253820\pi\)
\(608\) −14.5047 + 61.2000i −0.0238563 + 0.100658i
\(609\) −1074.83 348.828i −1.76492 0.572789i
\(610\) 62.9847 + 146.015i 0.103254 + 0.239369i
\(611\) −330.221 907.273i −0.540459 1.48490i
\(612\) −79.0359 + 10.2264i −0.129144 + 0.0167099i
\(613\) −701.220 255.223i −1.14392 0.416351i −0.300589 0.953754i \(-0.597183\pi\)
−0.843326 + 0.537402i \(0.819406\pi\)
\(614\) −167.771 + 9.77155i −0.273243 + 0.0159146i
\(615\) −344.391 + 116.478i −0.559985 + 0.189395i
\(616\) 124.852 289.440i 0.202682 0.469870i
\(617\) −423.422 24.6615i −0.686259 0.0399701i −0.288527 0.957472i \(-0.593166\pi\)
−0.397732 + 0.917502i \(0.630203\pi\)
\(618\) 723.800 198.728i 1.17120 0.321566i
\(619\) −40.7381 43.1799i −0.0658128 0.0697575i 0.693631 0.720331i \(-0.256010\pi\)
−0.759443 + 0.650573i \(0.774529\pi\)
\(620\) −268.920 155.261i −0.433743 0.250421i
\(621\) 129.210 + 139.898i 0.208067 + 0.225279i
\(622\) 166.305 + 288.049i 0.267372 + 0.463101i
\(623\) 58.8530 + 17.6194i 0.0944671 + 0.0282816i
\(624\) −77.3269 + 168.531i −0.123921 + 0.270081i
\(625\) −74.5429 49.0277i −0.119269 0.0784443i
\(626\) 6.39198 + 54.6869i 0.0102108 + 0.0873593i
\(627\) 8.57196 373.782i 0.0136714 0.596143i
\(628\) 386.993 + 194.355i 0.616231 + 0.309483i
\(629\) 172.645 30.4421i 0.274476 0.0483975i
\(630\) 344.055 + 98.4017i 0.546120 + 0.156193i
\(631\) −80.4354 + 456.172i −0.127473 + 0.722935i 0.852335 + 0.522996i \(0.175186\pi\)
−0.979808 + 0.199939i \(0.935926\pi\)
\(632\) −120.616 89.7950i −0.190847 0.142081i
\(633\) 317.079 + 168.455i 0.500915 + 0.266121i
\(634\) 131.259 139.127i 0.207034 0.219443i
\(635\) −213.138 + 63.8094i −0.335651 + 0.100487i
\(636\) 61.3130 437.350i 0.0964041 0.687657i
\(637\) −765.161 89.4345i −1.20119 0.140400i
\(638\) −386.025 + 460.046i −0.605054 + 0.721076i
\(639\) 170.550 146.726i 0.266901 0.229618i
\(640\) −24.5077 + 20.5644i −0.0382933 + 0.0321319i
\(641\) −226.042 343.680i −0.352639 0.536162i 0.614991 0.788534i \(-0.289160\pi\)
−0.967630 + 0.252372i \(0.918789\pi\)
\(642\) −485.203 + 388.530i −0.755768 + 0.605187i
\(643\) −439.349 590.148i −0.683279 0.917803i 0.316244 0.948678i \(-0.397578\pi\)
−0.999523 + 0.0308745i \(0.990171\pi\)
\(644\) −62.9468 125.337i −0.0977434 0.194623i
\(645\) 332.991 481.851i 0.516266 0.747056i
\(646\) 67.7405 16.0548i 0.104862 0.0248526i
\(647\) 388.767i 0.600876i 0.953801 + 0.300438i \(0.0971328\pi\)
−0.953801 + 0.300438i \(0.902867\pi\)
\(648\) 83.6378 + 213.290i 0.129071 + 0.329152i
\(649\) 205.610 0.316810
\(650\) −85.6906 361.557i −0.131832 0.556241i
\(651\) 1479.99 701.264i 2.27342 1.07721i
\(652\) −572.043 + 287.291i −0.877366 + 0.440630i
\(653\) 967.690 720.419i 1.48191 1.10324i 0.512240 0.858842i \(-0.328816\pi\)
0.969674 0.244402i \(-0.0785917\pi\)
\(654\) 211.460 541.984i 0.323334 0.828721i
\(655\) −180.594 + 118.779i −0.275716 + 0.181341i
\(656\) 110.188 + 131.317i 0.167969 + 0.200178i
\(657\) −470.499 + 279.427i −0.716133 + 0.425308i
\(658\) 673.035 + 564.744i 1.02285 + 0.858273i
\(659\) −20.6323 + 176.521i −0.0313085 + 0.267861i 0.968513 + 0.248963i \(0.0800899\pi\)
−0.999821 + 0.0188981i \(0.993984\pi\)
\(660\) 117.035 149.903i 0.177325 0.227126i
\(661\) 10.7356 + 35.8595i 0.0162415 + 0.0542504i 0.965726 0.259563i \(-0.0835785\pi\)
−0.949485 + 0.313813i \(0.898393\pi\)
\(662\) −484.893 457.473i −0.732467 0.691047i
\(663\) 205.113 7.23294i 0.309371 0.0109094i
\(664\) −16.6011 + 22.2991i −0.0250016 + 0.0335830i
\(665\) −307.850 54.2822i −0.462932 0.0816274i
\(666\) −205.298 460.258i −0.308255 0.691078i
\(667\) 46.4008 + 263.152i 0.0695664 + 0.394531i
\(668\) −87.4356 + 174.099i −0.130892 + 0.260627i
\(669\) 387.915 637.664i 0.579843 0.953160i
\(670\) 73.9763 8.64659i 0.110412 0.0129054i
\(671\) −244.927 + 372.393i −0.365018 + 0.554983i
\(672\) −15.7411 167.996i −0.0234242 0.249994i
\(673\) 28.1374 93.9854i 0.0418089 0.139651i −0.934537 0.355866i \(-0.884186\pi\)
0.976346 + 0.216215i \(0.0693711\pi\)
\(674\) −112.047 + 64.6902i −0.166242 + 0.0959796i
\(675\) −395.135 233.756i −0.585386 0.346305i
\(676\) 69.7639 120.835i 0.103201 0.178749i
\(677\) −24.6484 + 23.2546i −0.0364083 + 0.0343495i −0.704231 0.709971i \(-0.748708\pi\)
0.667823 + 0.744321i \(0.267227\pi\)
\(678\) −767.582 200.614i −1.13213 0.295890i
\(679\) 30.9691 531.719i 0.0456099 0.783092i
\(680\) 32.5155 + 14.0258i 0.0478169 + 0.0206262i
\(681\) −581.798 + 661.926i −0.854329 + 0.971992i
\(682\) −50.6074 868.895i −0.0742043 1.27404i
\(683\) 388.988 1068.74i 0.569529 1.56477i −0.235713 0.971823i \(-0.575742\pi\)
0.805242 0.592946i \(-0.202035\pi\)
\(684\) −92.0154 177.724i −0.134525 0.259831i
\(685\) 190.518 69.3428i 0.278128 0.101230i
\(686\) 11.0482 4.76573i 0.0161052 0.00694712i
\(687\) 296.084 + 328.608i 0.430981 + 0.478324i
\(688\) −268.730 63.6901i −0.390595 0.0925728i
\(689\) −262.288 + 1106.68i −0.380679 + 1.60621i
\(690\) −17.6217 82.7642i −0.0255387 0.119948i
\(691\) 330.267 + 765.644i 0.477955 + 1.10802i 0.971229 + 0.238149i \(0.0765408\pi\)
−0.493274 + 0.869874i \(0.664200\pi\)
\(692\) −83.5685 229.603i −0.120764 0.331796i
\(693\) 299.486 + 957.269i 0.432159 + 1.38134i
\(694\) 292.974 + 106.634i 0.422153 + 0.153651i
\(695\) −185.032 + 10.7769i −0.266233 + 0.0155063i
\(696\) −63.0650 + 315.216i −0.0906107 + 0.452897i
\(697\) 75.1529 174.224i 0.107823 0.249963i
\(698\) −48.5649 2.82858i −0.0695772 0.00405241i
\(699\) 881.267 + 870.476i 1.26075 + 1.24532i
\(700\) 232.034 + 245.942i 0.331478 + 0.351346i
\(701\) 1194.11 + 689.419i 1.70344 + 0.983479i 0.942228 + 0.334972i \(0.108727\pi\)
0.761208 + 0.648508i \(0.224607\pi\)
\(702\) −163.212 566.992i −0.232496 0.807680i
\(703\) 220.120 + 381.259i 0.313115 + 0.542332i
\(704\) −85.9050 25.7183i −0.122024 0.0365316i
\(705\) 306.704 + 432.326i 0.435041 + 0.613229i
\(706\) −44.6809 29.3871i −0.0632875 0.0416248i
\(707\) −141.033 1206.61i −0.199481 1.70667i
\(708\) 96.5508 52.8300i 0.136371 0.0746186i
\(709\) −529.817 266.084i −0.747274 0.375295i 0.0340504 0.999420i \(-0.489159\pi\)
−0.781325 + 0.624125i \(0.785456\pi\)
\(710\) −98.4487 + 17.3592i −0.138660 + 0.0244495i
\(711\) 477.287 33.7033i 0.671290 0.0474026i
\(712\) 3.03474 17.2109i 0.00426228 0.0241726i
\(713\) −310.636 231.260i −0.435674 0.324347i
\(714\) −158.352 + 99.0243i −0.221781 + 0.138690i
\(715\) −336.103 + 356.249i −0.470074 + 0.498250i
\(716\) 481.599 144.181i 0.672624 0.201370i
\(717\) −759.856 + 307.304i −1.05977 + 0.428597i
\(718\) −366.523 42.8404i −0.510478 0.0596663i
\(719\) 394.836 470.548i 0.549146 0.654447i −0.418066 0.908417i \(-0.637292\pi\)
0.967212 + 0.253969i \(0.0817363\pi\)
\(720\) 16.4409 100.463i 0.0228346 0.139532i
\(721\) 1347.47 1130.66i 1.86889 1.56818i
\(722\) −184.474 280.479i −0.255504 0.388475i
\(723\) 1.19198 + 7.80214i 0.00164866 + 0.0107913i
\(724\) 189.000 + 253.871i 0.261049 + 0.350650i
\(725\) −289.109 575.663i −0.398771 0.794018i
\(726\) 19.6305 + 1.59567i 0.0270393 + 0.00219789i
\(727\) 718.375 170.258i 0.988136 0.234192i 0.295392 0.955376i \(-0.404550\pi\)
0.692744 + 0.721184i \(0.256402\pi\)
\(728\) 434.540i 0.596896i
\(729\) −644.370 340.923i −0.883909 0.467659i
\(730\) 243.152 0.333085
\(731\) 70.4968 + 297.449i 0.0964388 + 0.406907i
\(732\) −19.3297 + 237.802i −0.0264067 + 0.324866i
\(733\) −323.745 + 162.591i −0.441671 + 0.221815i −0.655715 0.755009i \(-0.727633\pi\)
0.214044 + 0.976824i \(0.431336\pi\)
\(734\) 237.688 176.952i 0.323825 0.241079i
\(735\) 418.090 63.8741i 0.568830 0.0869036i
\(736\) −33.3354 + 21.9250i −0.0452926 + 0.0297894i
\(737\) 134.189 + 159.920i 0.182074 + 0.216988i
\(738\) −538.299 88.0934i −0.729403 0.119368i
\(739\) −1007.63 845.504i −1.36351 1.14412i −0.974882 0.222723i \(-0.928505\pi\)
−0.388626 0.921396i \(-0.627050\pi\)
\(740\) −25.9971 + 222.420i −0.0351313 + 0.300567i
\(741\) 193.238 + 477.809i 0.260780 + 0.644817i
\(742\) −296.828 991.473i −0.400037 1.33622i
\(743\) 263.789 + 248.872i 0.355033 + 0.334956i 0.843008 0.537902i \(-0.180783\pi\)
−0.487975 + 0.872858i \(0.662264\pi\)
\(744\) −247.021 395.015i −0.332017 0.530934i
\(745\) −52.5257 + 70.5542i −0.0705043 + 0.0947037i
\(746\) 400.301 + 70.5839i 0.536597 + 0.0946165i
\(747\) −6.23098 88.2397i −0.00834133 0.118125i
\(748\) 17.2356 + 97.7477i 0.0230422 + 0.130679i
\(749\) −653.767 + 1301.76i −0.872853 + 1.73799i
\(750\) 241.892 + 442.076i 0.322522 + 0.589434i
\(751\) −789.841 + 92.3192i −1.05172 + 0.122928i −0.624347 0.781147i \(-0.714635\pi\)
−0.427373 + 0.904076i \(0.640561\pi\)
\(752\) 137.342 208.818i 0.182635 0.277684i
\(753\) 730.668 518.356i 0.970343 0.688388i
\(754\) 237.437 793.094i 0.314903 1.05185i
\(755\) 609.772 352.052i 0.807645 0.466294i
\(756\) 386.597 + 372.567i 0.511372 + 0.492813i
\(757\) −166.653 + 288.651i −0.220149 + 0.381309i −0.954853 0.297078i \(-0.903988\pi\)
0.734704 + 0.678388i \(0.237321\pi\)
\(758\) −281.091 + 265.196i −0.370833 + 0.349863i
\(759\) 166.676 168.742i 0.219599 0.222321i
\(760\) −5.17062 + 88.7762i −0.00680345 + 0.116811i
\(761\) 781.052 + 336.913i 1.02635 + 0.442724i 0.841623 0.540066i \(-0.181601\pi\)
0.184727 + 0.982790i \(0.440860\pi\)
\(762\) −327.319 65.4864i −0.429552 0.0859401i
\(763\) −79.2740 1361.08i −0.103898 1.78386i
\(764\) 6.00230 16.4912i 0.00785641 0.0215853i
\(765\) −107.539 + 33.6441i −0.140574 + 0.0439792i
\(766\) 527.942 192.155i 0.689219 0.250855i
\(767\) −260.259 + 112.265i −0.339320 + 0.146368i
\(768\) −46.9477 + 9.99582i −0.0611298 + 0.0130154i
\(769\) 501.404 + 118.835i 0.652021 + 0.154532i 0.543298 0.839540i \(-0.317176\pi\)
0.108724 + 0.994072i \(0.465324\pi\)
\(770\) 102.782 433.671i 0.133483 0.563209i
\(771\) 190.655 171.785i 0.247283 0.222808i