Properties

Label 225.2.q.a.211.4
Level $225$
Weight $2$
Character 225.211
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 211.4
Character \(\chi\) \(=\) 225.211
Dual form 225.2.q.a.16.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.06085 - 0.917550i) q^{2} +(1.65499 - 0.510883i) q^{3} +(2.06695 + 2.29558i) q^{4} +(-2.23029 + 0.160691i) q^{5} +(-3.87945 - 0.465685i) q^{6} +(2.12428 + 3.67936i) q^{7} +(-0.759150 - 2.33642i) q^{8} +(2.47800 - 1.69101i) q^{9} +O(q^{10})\) \(q+(-2.06085 - 0.917550i) q^{2} +(1.65499 - 0.510883i) q^{3} +(2.06695 + 2.29558i) q^{4} +(-2.23029 + 0.160691i) q^{5} +(-3.87945 - 0.465685i) q^{6} +(2.12428 + 3.67936i) q^{7} +(-0.759150 - 2.33642i) q^{8} +(2.47800 - 1.69101i) q^{9} +(4.74373 + 1.71524i) q^{10} +(2.79930 + 1.24633i) q^{11} +(4.59355 + 2.74319i) q^{12} +(-2.17836 + 0.969869i) q^{13} +(-1.00183 - 9.53175i) q^{14} +(-3.60901 + 1.40536i) q^{15} +(0.0664873 - 0.632584i) q^{16} +(2.36985 + 7.29363i) q^{17} +(-6.65837 + 1.21124i) q^{18} +(-0.781940 - 2.40656i) q^{19} +(-4.97876 - 4.78765i) q^{20} +(5.39539 + 5.00406i) q^{21} +(-4.62537 - 5.13700i) q^{22} +(-0.656165 - 6.24299i) q^{23} +(-2.45003 - 3.47893i) q^{24} +(4.94836 - 0.716775i) q^{25} +5.37918 q^{26} +(3.23716 - 4.06458i) q^{27} +(-4.05548 + 12.4815i) q^{28} +(4.40315 - 0.935918i) q^{29} +(8.72712 + 0.415217i) q^{30} +(1.42509 + 0.302912i) q^{31} +(-3.17411 + 5.49772i) q^{32} +(5.26955 + 0.632551i) q^{33} +(1.80838 - 17.2055i) q^{34} +(-5.32900 - 7.86468i) q^{35} +(9.00374 + 2.19320i) q^{36} +(0.524265 + 0.380901i) q^{37} +(-0.596680 + 5.67703i) q^{38} +(-3.10968 + 2.71801i) q^{39} +(2.06856 + 5.08890i) q^{40} +(1.84882 - 0.823147i) q^{41} +(-6.52762 - 15.2632i) q^{42} +(0.433089 + 0.750133i) q^{43} +(2.92496 + 9.00211i) q^{44} +(-5.25491 + 4.16964i) q^{45} +(-4.37600 + 13.4679i) q^{46} +(-9.74091 + 2.07049i) q^{47} +(-0.213140 - 1.08089i) q^{48} +(-5.52514 + 9.56982i) q^{49} +(-10.8555 - 3.06320i) q^{50} +(7.64827 + 10.8602i) q^{51} +(-6.72897 - 2.99593i) q^{52} +(-0.161545 + 0.497185i) q^{53} +(-10.4008 + 5.40624i) q^{54} +(-6.44352 - 2.32985i) q^{55} +(6.98390 - 7.75641i) q^{56} +(-2.52357 - 3.58336i) q^{57} +(-9.93298 - 2.11132i) q^{58} +(1.08427 - 0.482747i) q^{59} +(-10.6857 - 5.37997i) q^{60} +(-9.93622 - 4.42389i) q^{61} +(-2.65896 - 1.93184i) q^{62} +(11.4858 + 5.52526i) q^{63} +(10.5566 - 7.66983i) q^{64} +(4.70252 - 2.51313i) q^{65} +(-10.2794 - 6.13867i) q^{66} +(2.36441 + 0.502571i) q^{67} +(-11.8448 + 20.5157i) q^{68} +(-4.27538 - 9.99688i) q^{69} +(3.76603 + 21.0975i) q^{70} +(-3.08718 + 9.50135i) q^{71} +(-5.83210 - 4.50592i) q^{72} +(-2.70313 + 1.96394i) q^{73} +(-0.730937 - 1.26602i) q^{74} +(7.82330 - 3.71429i) q^{75} +(3.90822 - 6.76924i) q^{76} +(1.36081 + 12.9472i) q^{77} +(8.90251 - 2.74813i) q^{78} +(1.44490 - 0.307122i) q^{79} +(-0.0466350 + 1.42153i) q^{80} +(3.28095 - 8.38066i) q^{81} -4.56542 q^{82} +(4.79891 - 5.32973i) q^{83} +(-0.335214 + 22.7286i) q^{84} +(-6.45746 - 15.8861i) q^{85} +(-0.204248 - 1.94329i) q^{86} +(6.80903 - 3.79843i) q^{87} +(0.786864 - 7.48651i) q^{88} +(0.415723 - 0.302040i) q^{89} +(14.6554 - 3.77135i) q^{90} +(-8.19595 - 5.95471i) q^{91} +(12.9750 - 14.4102i) q^{92} +(2.51326 - 0.226736i) q^{93} +(21.9743 + 4.67079i) q^{94} +(2.13066 + 5.24167i) q^{95} +(-2.44444 + 10.7203i) q^{96} +(-2.02334 + 0.430075i) q^{97} +(20.1673 - 14.6524i) q^{98} +(9.04423 - 1.64526i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{4}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.06085 0.917550i −1.45724 0.648806i −0.483269 0.875472i \(-0.660551\pi\)
−0.973972 + 0.226666i \(0.927217\pi\)
\(3\) 1.65499 0.510883i 0.955510 0.294958i
\(4\) 2.06695 + 2.29558i 1.03347 + 1.14779i
\(5\) −2.23029 + 0.160691i −0.997414 + 0.0718633i
\(6\) −3.87945 0.465685i −1.58378 0.190115i
\(7\) 2.12428 + 3.67936i 0.802903 + 1.39067i 0.917698 + 0.397279i \(0.130045\pi\)
−0.114795 + 0.993389i \(0.536621\pi\)
\(8\) −0.759150 2.33642i −0.268400 0.826050i
\(9\) 2.47800 1.69101i 0.825999 0.563671i
\(10\) 4.74373 + 1.71524i 1.50010 + 0.542406i
\(11\) 2.79930 + 1.24633i 0.844021 + 0.375783i 0.782748 0.622338i \(-0.213817\pi\)
0.0612732 + 0.998121i \(0.480484\pi\)
\(12\) 4.59355 + 2.74319i 1.32604 + 0.791892i
\(13\) −2.17836 + 0.969869i −0.604169 + 0.268993i −0.685940 0.727658i \(-0.740609\pi\)
0.0817713 + 0.996651i \(0.473942\pi\)
\(14\) −1.00183 9.53175i −0.267750 2.54747i
\(15\) −3.60901 + 1.40536i −0.931843 + 0.362862i
\(16\) 0.0664873 0.632584i 0.0166218 0.158146i
\(17\) 2.36985 + 7.29363i 0.574772 + 1.76897i 0.636955 + 0.770901i \(0.280194\pi\)
−0.0621827 + 0.998065i \(0.519806\pi\)
\(18\) −6.65837 + 1.21124i −1.56939 + 0.285492i
\(19\) −0.781940 2.40656i −0.179389 0.552103i 0.820417 0.571765i \(-0.193741\pi\)
−0.999807 + 0.0196617i \(0.993741\pi\)
\(20\) −4.97876 4.78765i −1.11328 1.07055i
\(21\) 5.39539 + 5.00406i 1.17737 + 1.09197i
\(22\) −4.62537 5.13700i −0.986133 1.09521i
\(23\) −0.656165 6.24299i −0.136820 1.30175i −0.820363 0.571844i \(-0.806228\pi\)
0.683543 0.729910i \(-0.260438\pi\)
\(24\) −2.45003 3.47893i −0.500109 0.710133i
\(25\) 4.94836 0.716775i 0.989671 0.143355i
\(26\) 5.37918 1.05494
\(27\) 3.23716 4.06458i 0.622991 0.782229i
\(28\) −4.05548 + 12.4815i −0.766414 + 2.35878i
\(29\) 4.40315 0.935918i 0.817644 0.173796i 0.219941 0.975513i \(-0.429413\pi\)
0.597703 + 0.801718i \(0.296080\pi\)
\(30\) 8.72712 + 0.415217i 1.59335 + 0.0758080i
\(31\) 1.42509 + 0.302912i 0.255953 + 0.0544046i 0.334101 0.942537i \(-0.391567\pi\)
−0.0781478 + 0.996942i \(0.524901\pi\)
\(32\) −3.17411 + 5.49772i −0.561108 + 0.971868i
\(33\) 5.26955 + 0.632551i 0.917311 + 0.110113i
\(34\) 1.80838 17.2055i 0.310134 2.95073i
\(35\) −5.32900 7.86468i −0.900765 1.32937i
\(36\) 9.00374 + 2.19320i 1.50062 + 0.365533i
\(37\) 0.524265 + 0.380901i 0.0861887 + 0.0626198i 0.630045 0.776559i \(-0.283036\pi\)
−0.543856 + 0.839178i \(0.683036\pi\)
\(38\) −0.596680 + 5.67703i −0.0967943 + 0.920937i
\(39\) −3.10968 + 2.71801i −0.497948 + 0.435231i
\(40\) 2.06856 + 5.08890i 0.327069 + 0.804627i
\(41\) 1.84882 0.823147i 0.288737 0.128554i −0.257257 0.966343i \(-0.582819\pi\)
0.545994 + 0.837789i \(0.316152\pi\)
\(42\) −6.52762 15.2632i −1.00723 2.35516i
\(43\) 0.433089 + 0.750133i 0.0660455 + 0.114394i 0.897157 0.441711i \(-0.145628\pi\)
−0.831112 + 0.556105i \(0.812295\pi\)
\(44\) 2.92496 + 9.00211i 0.440955 + 1.35712i
\(45\) −5.25491 + 4.16964i −0.783356 + 0.621573i
\(46\) −4.37600 + 13.4679i −0.645206 + 1.98574i
\(47\) −9.74091 + 2.07049i −1.42086 + 0.302012i −0.853342 0.521351i \(-0.825428\pi\)
−0.567515 + 0.823363i \(0.692095\pi\)
\(48\) −0.213140 1.08089i −0.0307642 0.156013i
\(49\) −5.52514 + 9.56982i −0.789305 + 1.36712i
\(50\) −10.8555 3.06320i −1.53520 0.433202i
\(51\) 7.64827 + 10.8602i 1.07097 + 1.52073i
\(52\) −6.72897 2.99593i −0.933140 0.415461i
\(53\) −0.161545 + 0.497185i −0.0221900 + 0.0682937i −0.961538 0.274671i \(-0.911431\pi\)
0.939348 + 0.342965i \(0.111431\pi\)
\(54\) −10.4008 + 5.40624i −1.41536 + 0.735696i
\(55\) −6.44352 2.32985i −0.868844 0.314157i
\(56\) 6.98390 7.75641i 0.933263 1.03649i
\(57\) −2.52357 3.58336i −0.334256 0.474628i
\(58\) −9.93298 2.11132i −1.30426 0.277230i
\(59\) 1.08427 0.482747i 0.141160 0.0628484i −0.334941 0.942239i \(-0.608716\pi\)
0.476101 + 0.879391i \(0.342050\pi\)
\(60\) −10.6857 5.37997i −1.37952 0.694551i
\(61\) −9.93622 4.42389i −1.27220 0.566421i −0.344166 0.938909i \(-0.611838\pi\)
−0.928037 + 0.372488i \(0.878505\pi\)
\(62\) −2.65896 1.93184i −0.337688 0.245345i
\(63\) 11.4858 + 5.52526i 1.44708 + 0.696118i
\(64\) 10.5566 7.66983i 1.31958 0.958728i
\(65\) 4.70252 2.51313i 0.583276 0.311715i
\(66\) −10.2794 6.13867i −1.26530 0.755618i
\(67\) 2.36441 + 0.502571i 0.288859 + 0.0613988i 0.350062 0.936727i \(-0.386161\pi\)
−0.0612034 + 0.998125i \(0.519494\pi\)
\(68\) −11.8448 + 20.5157i −1.43639 + 2.48790i
\(69\) −4.27538 9.99688i −0.514696 1.20348i
\(70\) 3.76603 + 21.0975i 0.450127 + 2.52164i
\(71\) −3.08718 + 9.50135i −0.366380 + 1.12760i 0.582732 + 0.812665i \(0.301984\pi\)
−0.949112 + 0.314938i \(0.898016\pi\)
\(72\) −5.83210 4.50592i −0.687319 0.531028i
\(73\) −2.70313 + 1.96394i −0.316378 + 0.229862i −0.734628 0.678470i \(-0.762643\pi\)
0.418250 + 0.908332i \(0.362643\pi\)
\(74\) −0.730937 1.26602i −0.0849697 0.147172i
\(75\) 7.82330 3.71429i 0.903357 0.428889i
\(76\) 3.90822 6.76924i 0.448304 0.776485i
\(77\) 1.36081 + 12.9472i 0.155078 + 1.47547i
\(78\) 8.90251 2.74813i 1.00801 0.311165i
\(79\) 1.44490 0.307122i 0.162564 0.0345540i −0.125911 0.992042i \(-0.540185\pi\)
0.288474 + 0.957488i \(0.406852\pi\)
\(80\) −0.0466350 + 1.42153i −0.00521395 + 0.158932i
\(81\) 3.28095 8.38066i 0.364550 0.931184i
\(82\) −4.56542 −0.504166
\(83\) 4.79891 5.32973i 0.526748 0.585013i −0.419783 0.907624i \(-0.637894\pi\)
0.946532 + 0.322611i \(0.104561\pi\)
\(84\) −0.335214 + 22.7286i −0.0365749 + 2.47990i
\(85\) −6.45746 15.8861i −0.700410 1.72309i
\(86\) −0.204248 1.94329i −0.0220247 0.209551i
\(87\) 6.80903 3.79843i 0.730005 0.407234i
\(88\) 0.786864 7.48651i 0.0838799 0.798064i
\(89\) 0.415723 0.302040i 0.0440665 0.0320162i −0.565534 0.824725i \(-0.691330\pi\)
0.609600 + 0.792709i \(0.291330\pi\)
\(90\) 14.6554 3.77135i 1.54482 0.397536i
\(91\) −8.19595 5.95471i −0.859169 0.624223i
\(92\) 12.9750 14.4102i 1.35274 1.50237i
\(93\) 2.51326 0.226736i 0.260613 0.0235114i
\(94\) 21.9743 + 4.67079i 2.26648 + 0.481755i
\(95\) 2.13066 + 5.24167i 0.218601 + 0.537784i
\(96\) −2.44444 + 10.7203i −0.249484 + 1.09413i
\(97\) −2.02334 + 0.430075i −0.205439 + 0.0436675i −0.309482 0.950905i \(-0.600156\pi\)
0.104042 + 0.994573i \(0.466822\pi\)
\(98\) 20.1673 14.6524i 2.03720 1.48011i
\(99\) 9.04423 1.64526i 0.908979 0.165354i
\(100\) 11.8734 + 9.87780i 1.18734 + 0.987780i
\(101\) −7.67282 13.2897i −0.763474 1.32238i −0.941049 0.338269i \(-0.890159\pi\)
0.177575 0.984107i \(-0.443175\pi\)
\(102\) −5.79716 29.3989i −0.574005 2.91093i
\(103\) −6.17144 6.85407i −0.608090 0.675352i 0.357952 0.933740i \(-0.383475\pi\)
−0.966041 + 0.258388i \(0.916809\pi\)
\(104\) 3.91973 + 4.35330i 0.384361 + 0.426876i
\(105\) −12.8374 10.2935i −1.25280 1.00454i
\(106\) 0.789113 0.876399i 0.0766454 0.0851234i
\(107\) 8.88999 0.859427 0.429714 0.902965i \(-0.358615\pi\)
0.429714 + 0.902965i \(0.358615\pi\)
\(108\) 16.0216 0.970126i 1.54168 0.0933504i
\(109\) −1.19596 0.868915i −0.114552 0.0832270i 0.529034 0.848600i \(-0.322554\pi\)
−0.643586 + 0.765373i \(0.722554\pi\)
\(110\) 11.1414 + 10.7137i 1.06229 + 1.02151i
\(111\) 1.06225 + 0.362550i 0.100824 + 0.0344118i
\(112\) 2.46874 1.09916i 0.233274 0.103860i
\(113\) −3.38269 + 1.50607i −0.318216 + 0.141679i −0.559628 0.828744i \(-0.689056\pi\)
0.241412 + 0.970423i \(0.422389\pi\)
\(114\) 1.91280 + 9.70028i 0.179150 + 0.908515i
\(115\) 2.46663 + 13.8182i 0.230014 + 1.28856i
\(116\) 11.2495 + 8.17327i 1.04449 + 0.758869i
\(117\) −3.75792 + 6.08697i −0.347419 + 0.562741i
\(118\) −2.67746 −0.246480
\(119\) −21.8017 + 24.2132i −1.99856 + 2.21962i
\(120\) 6.02329 + 7.36530i 0.549849 + 0.672357i
\(121\) −1.07768 1.19689i −0.0979709 0.108808i
\(122\) 16.4179 + 18.2340i 1.48641 + 1.65083i
\(123\) 2.63925 2.30683i 0.237973 0.208000i
\(124\) 2.25022 + 3.89750i 0.202076 + 0.350006i
\(125\) −10.9211 + 2.39377i −0.976811 + 0.214105i
\(126\) −18.6008 21.9255i −1.65709 1.95328i
\(127\) 4.74186 3.44516i 0.420772 0.305709i −0.357176 0.934037i \(-0.616261\pi\)
0.777948 + 0.628328i \(0.216261\pi\)
\(128\) −16.3741 + 3.48041i −1.44728 + 0.307628i
\(129\) 1.09999 + 1.02021i 0.0968487 + 0.0898242i
\(130\) −11.9971 + 0.864387i −1.05222 + 0.0758118i
\(131\) 6.27356 + 1.33349i 0.548124 + 0.116507i 0.473646 0.880715i \(-0.342938\pi\)
0.0744779 + 0.997223i \(0.476271\pi\)
\(132\) 9.43981 + 13.4041i 0.821630 + 1.16668i
\(133\) 7.19356 7.98925i 0.623760 0.692756i
\(134\) −4.41156 3.20519i −0.381101 0.276886i
\(135\) −6.56665 + 9.58536i −0.565167 + 0.824977i
\(136\) 15.2419 11.0739i 1.30699 0.949581i
\(137\) 1.45881 13.8797i 0.124635 1.18582i −0.736138 0.676831i \(-0.763353\pi\)
0.860773 0.508989i \(-0.169981\pi\)
\(138\) −0.361707 + 24.5250i −0.0307906 + 2.08770i
\(139\) −1.23615 11.7612i −0.104849 0.997573i −0.912823 0.408355i \(-0.866103\pi\)
0.807974 0.589218i \(-0.200564\pi\)
\(140\) 7.03922 28.4890i 0.594923 2.40776i
\(141\) −15.0633 + 8.40311i −1.26856 + 0.707669i
\(142\) 15.0802 16.7482i 1.26550 1.40548i
\(143\) −7.30667 −0.611015
\(144\) −0.904953 1.67997i −0.0754127 0.139998i
\(145\) −9.66989 + 2.79491i −0.803041 + 0.232105i
\(146\) 7.37277 1.56713i 0.610175 0.129697i
\(147\) −4.25500 + 18.6607i −0.350947 + 1.53911i
\(148\) 0.209241 + 1.99079i 0.0171995 + 0.163642i
\(149\) 6.20150 10.7413i 0.508047 0.879963i −0.491910 0.870646i \(-0.663701\pi\)
0.999957 0.00931695i \(-0.00296572\pi\)
\(150\) −19.5307 + 0.476318i −1.59468 + 0.0388912i
\(151\) 6.61985 + 11.4659i 0.538716 + 0.933083i 0.998974 + 0.0452978i \(0.0144237\pi\)
−0.460258 + 0.887785i \(0.652243\pi\)
\(152\) −5.02914 + 3.65388i −0.407917 + 0.296369i
\(153\) 18.2061 + 14.0662i 1.47188 + 1.13718i
\(154\) 9.07528 27.9309i 0.731307 2.25073i
\(155\) −3.22703 0.446581i −0.259201 0.0358703i
\(156\) −12.6670 1.52053i −1.01417 0.121740i
\(157\) 4.80131 8.31611i 0.383186 0.663698i −0.608330 0.793684i \(-0.708160\pi\)
0.991516 + 0.129987i \(0.0414935\pi\)
\(158\) −3.25952 0.692832i −0.259313 0.0551188i
\(159\) −0.0133529 + 0.905369i −0.00105895 + 0.0718004i
\(160\) 6.19574 12.7715i 0.489816 1.00968i
\(161\) 21.5764 15.6761i 1.70045 1.23545i
\(162\) −14.4512 + 14.2608i −1.13539 + 1.12044i
\(163\) −9.18728 6.67495i −0.719603 0.522822i 0.166654 0.986015i \(-0.446704\pi\)
−0.886257 + 0.463193i \(0.846704\pi\)
\(164\) 5.71101 + 2.54270i 0.445955 + 0.198552i
\(165\) −11.8543 0.563999i −0.922853 0.0439073i
\(166\) −14.7801 + 6.58053i −1.14716 + 0.510748i
\(167\) −18.1337 3.85444i −1.40323 0.298266i −0.556747 0.830682i \(-0.687951\pi\)
−0.846482 + 0.532417i \(0.821284\pi\)
\(168\) 7.59569 16.4047i 0.586020 1.26565i
\(169\) −4.89408 + 5.43543i −0.376468 + 0.418110i
\(170\) −1.26842 + 38.6639i −0.0972831 + 2.96538i
\(171\) −6.00717 4.64119i −0.459380 0.354920i
\(172\) −0.826815 + 2.54467i −0.0630440 + 0.194030i
\(173\) 8.23416 + 3.66608i 0.626032 + 0.278727i 0.695132 0.718883i \(-0.255346\pi\)
−0.0691000 + 0.997610i \(0.522013\pi\)
\(174\) −17.5176 + 1.58037i −1.32801 + 0.119807i
\(175\) 13.1490 + 16.6842i 0.993969 + 1.26120i
\(176\) 0.974526 1.68793i 0.0734577 0.127232i
\(177\) 1.54783 1.35288i 0.116342 0.101688i
\(178\) −1.13388 + 0.241013i −0.0849878 + 0.0180647i
\(179\) 5.80773 17.8744i 0.434090 1.33599i −0.459926 0.887957i \(-0.652124\pi\)
0.894016 0.448035i \(-0.147876\pi\)
\(180\) −20.4333 3.44464i −1.52301 0.256748i
\(181\) −0.674906 2.07715i −0.0501653 0.154393i 0.922836 0.385194i \(-0.125865\pi\)
−0.973001 + 0.230801i \(0.925865\pi\)
\(182\) 11.4269 + 19.7920i 0.847018 + 1.46708i
\(183\) −18.7045 2.24526i −1.38267 0.165975i
\(184\) −14.0881 + 6.27245i −1.03859 + 0.462411i
\(185\) −1.23047 0.765274i −0.0904659 0.0562641i
\(186\) −5.38750 1.83877i −0.395031 0.134825i
\(187\) −2.45636 + 23.3707i −0.179627 + 1.70903i
\(188\) −24.8869 18.0814i −1.81506 1.31872i
\(189\) 21.8317 + 3.27637i 1.58802 + 0.238321i
\(190\) 0.418519 12.7573i 0.0303626 0.925511i
\(191\) 1.30681 12.4335i 0.0945576 0.899655i −0.839699 0.543053i \(-0.817268\pi\)
0.934256 0.356603i \(-0.116065\pi\)
\(192\) 13.5527 18.0867i 0.978084 1.30529i
\(193\) 7.39092 12.8015i 0.532010 0.921469i −0.467291 0.884103i \(-0.654770\pi\)
0.999302 0.0373655i \(-0.0118966\pi\)
\(194\) 4.56443 + 0.970199i 0.327707 + 0.0696562i
\(195\) 6.49872 6.56165i 0.465383 0.469889i
\(196\) −33.3884 + 7.09692i −2.38489 + 0.506923i
\(197\) 3.83767 11.8111i 0.273422 0.841507i −0.716210 0.697885i \(-0.754125\pi\)
0.989633 0.143623i \(-0.0458752\pi\)
\(198\) −20.1484 4.90790i −1.43188 0.348789i
\(199\) 6.90105 0.489202 0.244601 0.969624i \(-0.421343\pi\)
0.244601 + 0.969624i \(0.421343\pi\)
\(200\) −5.43123 11.0173i −0.384046 0.779042i
\(201\) 4.16983 0.376185i 0.294117 0.0265341i
\(202\) 3.61856 + 34.4283i 0.254601 + 2.42237i
\(203\) 12.7971 + 14.2126i 0.898181 + 0.997531i
\(204\) −9.12185 + 40.0046i −0.638657 + 2.80088i
\(205\) −3.99112 + 2.13294i −0.278752 + 0.148971i
\(206\) 6.42945 + 19.7878i 0.447961 + 1.37868i
\(207\) −12.1830 14.3605i −0.846774 0.998127i
\(208\) 0.468691 + 1.44248i 0.0324978 + 0.100018i
\(209\) 0.810485 7.71125i 0.0560624 0.533398i
\(210\) 17.0111 + 32.9923i 1.17388 + 2.27668i
\(211\) 2.36206 + 22.4735i 0.162611 + 1.54714i 0.706337 + 0.707875i \(0.250346\pi\)
−0.543727 + 0.839262i \(0.682987\pi\)
\(212\) −1.47523 + 0.656816i −0.101319 + 0.0451103i
\(213\) −0.255177 + 17.3018i −0.0174844 + 1.18550i
\(214\) −18.3209 8.15700i −1.25239 0.557601i
\(215\) −1.08645 1.60342i −0.0740955 0.109352i
\(216\) −11.9541 4.47774i −0.813371 0.304672i
\(217\) 1.91276 + 5.88688i 0.129847 + 0.399628i
\(218\) 1.66742 + 2.88806i 0.112932 + 0.195604i
\(219\) −3.47032 + 4.63129i −0.234503 + 0.312954i
\(220\) −7.97006 19.6073i −0.537342 1.32192i
\(221\) −12.2363 13.5897i −0.823100 0.914145i
\(222\) −1.85648 1.72183i −0.124599 0.115562i
\(223\) 5.21313 + 2.32103i 0.349097 + 0.155428i 0.573792 0.819001i \(-0.305472\pi\)
−0.224695 + 0.974429i \(0.572139\pi\)
\(224\) −26.9708 −1.80206
\(225\) 11.0499 10.1439i 0.736663 0.676260i
\(226\) 8.35310 0.555640
\(227\) −11.8328 5.26831i −0.785372 0.349670i −0.0254432 0.999676i \(-0.508100\pi\)
−0.759929 + 0.650006i \(0.774766\pi\)
\(228\) 3.00979 13.1997i 0.199328 0.874170i
\(229\) 5.11674 + 5.68271i 0.338123 + 0.375524i 0.888096 0.459659i \(-0.152028\pi\)
−0.549972 + 0.835183i \(0.685362\pi\)
\(230\) 7.59555 30.7406i 0.500836 2.02697i
\(231\) 8.86662 + 20.7323i 0.583381 + 1.36409i
\(232\) −5.52935 9.57712i −0.363020 0.628769i
\(233\) 0.0969674 + 0.298435i 0.00635254 + 0.0195511i 0.954183 0.299225i \(-0.0967282\pi\)
−0.947830 + 0.318776i \(0.896728\pi\)
\(234\) 13.3296 9.09627i 0.871383 0.594642i
\(235\) 21.3923 6.18307i 1.39548 0.403339i
\(236\) 3.34931 + 1.49121i 0.218021 + 0.0970694i
\(237\) 2.23439 1.24646i 0.145139 0.0809662i
\(238\) 67.1469 29.8957i 4.35249 1.93785i
\(239\) 2.36316 + 22.4840i 0.152860 + 1.45437i 0.754867 + 0.655878i \(0.227701\pi\)
−0.602007 + 0.798491i \(0.705632\pi\)
\(240\) 0.649053 + 2.37644i 0.0418962 + 0.153399i
\(241\) −1.68606 + 16.0418i −0.108609 + 1.03334i 0.795474 + 0.605988i \(0.207222\pi\)
−0.904083 + 0.427357i \(0.859445\pi\)
\(242\) 1.12274 + 3.45543i 0.0721722 + 0.222123i
\(243\) 1.14841 15.5461i 0.0736706 0.997283i
\(244\) −10.3823 31.9533i −0.664656 2.04560i
\(245\) 10.7849 22.2313i 0.689019 1.42030i
\(246\) −7.55573 + 2.33239i −0.481736 + 0.148708i
\(247\) 4.03740 + 4.48399i 0.256894 + 0.285309i
\(248\) −0.374125 3.55956i −0.0237570 0.226033i
\(249\) 5.21929 11.2723i 0.330759 0.714355i
\(250\) 24.7031 + 5.08743i 1.56236 + 0.321757i
\(251\) −18.3401 −1.15762 −0.578809 0.815463i \(-0.696482\pi\)
−0.578809 + 0.815463i \(0.696482\pi\)
\(252\) 11.0569 + 37.7870i 0.696519 + 2.38036i
\(253\) 5.94402 18.2938i 0.373698 1.15012i
\(254\) −12.9334 + 2.74907i −0.811512 + 0.172492i
\(255\) −18.8030 22.9923i −1.17749 1.43984i
\(256\) 11.4109 + 2.42545i 0.713179 + 0.151591i
\(257\) −11.2959 + 19.5650i −0.704616 + 1.22043i 0.262214 + 0.965010i \(0.415547\pi\)
−0.966830 + 0.255421i \(0.917786\pi\)
\(258\) −1.33082 3.11179i −0.0828535 0.193731i
\(259\) −0.287786 + 2.73810i −0.0178822 + 0.170137i
\(260\) 15.4889 + 5.60050i 0.960584 + 0.347328i
\(261\) 9.32834 9.76499i 0.577410 0.604438i
\(262\) −11.7053 8.50443i −0.723158 0.525405i
\(263\) 0.238572 2.26986i 0.0147110 0.139965i −0.984701 0.174252i \(-0.944249\pi\)
0.999412 + 0.0342866i \(0.0109159\pi\)
\(264\) −2.52247 12.7921i −0.155247 0.787300i
\(265\) 0.280399 1.13482i 0.0172248 0.0697117i
\(266\) −22.1554 + 9.86421i −1.35843 + 0.604814i
\(267\) 0.533711 0.712260i 0.0326626 0.0435896i
\(268\) 3.73342 + 6.46647i 0.228055 + 0.395002i
\(269\) −0.759927 2.33881i −0.0463335 0.142600i 0.925213 0.379447i \(-0.123886\pi\)
−0.971547 + 0.236847i \(0.923886\pi\)
\(270\) 22.3279 13.7288i 1.35883 0.835506i
\(271\) −4.44549 + 13.6818i −0.270044 + 0.831111i 0.720444 + 0.693513i \(0.243938\pi\)
−0.990488 + 0.137598i \(0.956062\pi\)
\(272\) 4.77140 1.01419i 0.289309 0.0614945i
\(273\) −16.6064 5.66783i −1.00506 0.343032i
\(274\) −15.7417 + 27.2654i −0.950990 + 1.64716i
\(275\) 14.7453 + 4.16081i 0.889174 + 0.250907i
\(276\) 14.1116 30.4775i 0.849419 1.83453i
\(277\) −25.6221 11.4077i −1.53949 0.685423i −0.550691 0.834709i \(-0.685636\pi\)
−0.988794 + 0.149286i \(0.952303\pi\)
\(278\) −8.24397 + 25.3723i −0.494441 + 1.52173i
\(279\) 4.04359 1.65923i 0.242084 0.0993354i
\(280\) −14.3297 + 18.4213i −0.856364 + 1.10088i
\(281\) 8.00633 8.89193i 0.477618 0.530448i −0.455396 0.890289i \(-0.650502\pi\)
0.933014 + 0.359841i \(0.117169\pi\)
\(282\) 38.7536 3.49619i 2.30774 0.208195i
\(283\) −30.4217 6.46633i −1.80838 0.384383i −0.824884 0.565302i \(-0.808760\pi\)
−0.983498 + 0.180919i \(0.942093\pi\)
\(284\) −28.1921 + 12.5519i −1.67289 + 0.744820i
\(285\) 6.20411 + 7.58641i 0.367500 + 0.449380i
\(286\) 15.0580 + 6.70424i 0.890396 + 0.396430i
\(287\) 6.95607 + 5.05388i 0.410604 + 0.298321i
\(288\) 1.43128 + 18.9908i 0.0843389 + 1.11904i
\(289\) −33.8276 + 24.5772i −1.98986 + 1.44572i
\(290\) 22.4927 + 3.11271i 1.32082 + 0.182784i
\(291\) −3.12890 + 1.74546i −0.183419 + 0.102321i
\(292\) −10.0956 2.14589i −0.590801 0.125579i
\(293\) 9.75305 16.8928i 0.569779 0.986886i −0.426808 0.904342i \(-0.640362\pi\)
0.996587 0.0825441i \(-0.0263045\pi\)
\(294\) 25.8910 34.5527i 1.50999 2.01515i
\(295\) −2.34066 + 1.25090i −0.136278 + 0.0728301i
\(296\) 0.491950 1.51407i 0.0285940 0.0880034i
\(297\) 14.1276 7.34342i 0.819766 0.426109i
\(298\) −22.6361 + 16.4461i −1.31127 + 0.952695i
\(299\) 7.48425 + 12.9631i 0.432826 + 0.749676i
\(300\) 24.6968 + 10.2818i 1.42587 + 0.593618i
\(301\) −1.84001 + 3.18699i −0.106056 + 0.183695i
\(302\) −3.12197 29.7036i −0.179649 1.70925i
\(303\) −19.4879 18.0745i −1.11955 1.03835i
\(304\) −1.57434 + 0.334637i −0.0902947 + 0.0191927i
\(305\) 22.8715 + 8.26988i 1.30962 + 0.473532i
\(306\) −24.6137 45.6933i −1.40707 2.61211i
\(307\) 27.0345 1.54294 0.771469 0.636267i \(-0.219522\pi\)
0.771469 + 0.636267i \(0.219522\pi\)
\(308\) −26.9086 + 29.8850i −1.53326 + 1.70286i
\(309\) −13.7153 8.19056i −0.780236 0.465945i
\(310\) 6.24067 + 3.88130i 0.354446 + 0.220443i
\(311\) 2.19188 + 20.8544i 0.124290 + 1.18254i 0.861815 + 0.507222i \(0.169328\pi\)
−0.737525 + 0.675320i \(0.764006\pi\)
\(312\) 8.71115 + 5.20216i 0.493172 + 0.294514i
\(313\) 2.87675 27.3705i 0.162604 1.54707i −0.543772 0.839233i \(-0.683004\pi\)
0.706376 0.707837i \(-0.250329\pi\)
\(314\) −17.5252 + 12.7328i −0.989005 + 0.718554i
\(315\) −26.5045 10.4773i −1.49336 0.590326i
\(316\) 3.69155 + 2.68207i 0.207666 + 0.150878i
\(317\) −4.19062 + 4.65416i −0.235369 + 0.261403i −0.849245 0.527999i \(-0.822943\pi\)
0.613876 + 0.789402i \(0.289609\pi\)
\(318\) 0.858239 1.85358i 0.0481277 0.103943i
\(319\) 13.4922 + 2.86786i 0.755419 + 0.160569i
\(320\) −22.3118 + 18.8023i −1.24727 + 1.05108i
\(321\) 14.7129 4.54174i 0.821192 0.253495i
\(322\) −58.8493 + 12.5088i −3.27954 + 0.697088i
\(323\) 15.6995 11.4064i 0.873544 0.634667i
\(324\) 26.0200 9.79070i 1.44555 0.543928i
\(325\) −10.0841 + 6.36066i −0.559367 + 0.352826i
\(326\) 12.8090 + 22.1859i 0.709426 + 1.22876i
\(327\) −2.42322 0.827053i −0.134004 0.0457361i
\(328\) −3.32675 3.69473i −0.183689 0.204007i
\(329\) −28.3105 31.4420i −1.56081 1.73345i
\(330\) 23.9124 + 12.0392i 1.31633 + 0.662736i
\(331\) −1.60189 + 1.77908i −0.0880478 + 0.0977870i −0.785559 0.618787i \(-0.787624\pi\)
0.697511 + 0.716574i \(0.254291\pi\)
\(332\) 22.1539 1.21585
\(333\) 1.94324 + 0.0573323i 0.106489 + 0.00314179i
\(334\) 33.8342 + 24.5820i 1.85133 + 1.34507i
\(335\) −5.35407 0.740937i −0.292524 0.0404817i
\(336\) 3.52421 3.08033i 0.192262 0.168046i
\(337\) −6.42544 + 2.86079i −0.350016 + 0.155837i −0.574211 0.818707i \(-0.694691\pi\)
0.224195 + 0.974544i \(0.428025\pi\)
\(338\) 15.0732 6.71104i 0.819876 0.365033i
\(339\) −4.82889 + 4.22069i −0.262269 + 0.229236i
\(340\) 23.1205 47.6593i 1.25388 2.58469i
\(341\) 3.61172 + 2.62407i 0.195586 + 0.142101i
\(342\) 8.12137 + 15.0767i 0.439153 + 0.815253i
\(343\) −17.2078 −0.929135
\(344\) 1.42385 1.58134i 0.0767688 0.0852603i
\(345\) 11.1417 + 21.6089i 0.599851 + 1.16338i
\(346\) −13.6056 15.1105i −0.731439 0.812346i
\(347\) 7.78217 + 8.64298i 0.417769 + 0.463979i 0.914891 0.403701i \(-0.132277\pi\)
−0.497122 + 0.867681i \(0.665610\pi\)
\(348\) 22.7935 + 7.77950i 1.22186 + 0.417025i
\(349\) 9.48461 + 16.4278i 0.507700 + 0.879362i 0.999960 + 0.00891382i \(0.00283739\pi\)
−0.492261 + 0.870448i \(0.663829\pi\)
\(350\) −11.7895 46.4484i −0.630176 2.48277i
\(351\) −3.10959 + 11.9937i −0.165978 + 0.640179i
\(352\) −15.7373 + 11.4338i −0.838799 + 0.609423i
\(353\) −17.9763 + 3.82097i −0.956780 + 0.203370i −0.659739 0.751495i \(-0.729333\pi\)
−0.297041 + 0.954865i \(0.596000\pi\)
\(354\) −4.43117 + 1.36787i −0.235514 + 0.0727013i
\(355\) 5.35850 21.6868i 0.284400 1.15102i
\(356\) 1.55263 + 0.330022i 0.0822894 + 0.0174911i
\(357\) −23.7115 + 51.2108i −1.25495 + 2.71037i
\(358\) −28.3695 + 31.5075i −1.49937 + 1.66522i
\(359\) −9.64076 7.00442i −0.508820 0.369679i 0.303556 0.952814i \(-0.401826\pi\)
−0.812376 + 0.583134i \(0.801826\pi\)
\(360\) 13.7313 + 9.11233i 0.723703 + 0.480262i
\(361\) 10.1912 7.40435i 0.536379 0.389702i
\(362\) −0.515005 + 4.89995i −0.0270681 + 0.257536i
\(363\) −2.39502 1.43027i −0.125706 0.0750696i
\(364\) −3.27111 31.1225i −0.171453 1.63126i
\(365\) 5.71318 4.81452i 0.299041 0.252004i
\(366\) 36.4870 + 21.7894i 1.90720 + 1.13895i
\(367\) 17.3734 19.2951i 0.906885 1.00720i −0.0930481 0.995662i \(-0.529661\pi\)
0.999933 0.0115366i \(-0.00367231\pi\)
\(368\) −3.99285 −0.208141
\(369\) 3.18942 5.16614i 0.166034 0.268938i
\(370\) 1.83364 + 2.70613i 0.0953263 + 0.140685i
\(371\) −2.17249 + 0.461778i −0.112790 + 0.0239743i
\(372\) 5.71527 + 5.30073i 0.296323 + 0.274830i
\(373\) 3.95418 + 37.6215i 0.204740 + 1.94797i 0.303440 + 0.952850i \(0.401865\pi\)
−0.0987007 + 0.995117i \(0.531469\pi\)
\(374\) 26.5060 45.9097i 1.37059 2.37393i
\(375\) −16.8514 + 9.54106i −0.870200 + 0.492698i
\(376\) 12.2324 + 21.1871i 0.630836 + 1.09264i
\(377\) −8.68394 + 6.30925i −0.447245 + 0.324943i
\(378\) −41.9856 26.7838i −2.15951 1.37761i
\(379\) −8.50160 + 26.1652i −0.436698 + 1.34402i 0.454639 + 0.890676i \(0.349768\pi\)
−0.891337 + 0.453342i \(0.850232\pi\)
\(380\) −7.62870 + 15.7254i −0.391344 + 0.806694i
\(381\) 6.08766 8.12425i 0.311881 0.416218i
\(382\) −14.1015 + 24.4245i −0.721495 + 1.24967i
\(383\) 28.8177 + 6.12539i 1.47251 + 0.312993i 0.873137 0.487474i \(-0.162082\pi\)
0.599377 + 0.800467i \(0.295415\pi\)
\(384\) −25.3209 + 14.1253i −1.29215 + 0.720828i
\(385\) −5.11549 28.6573i −0.260709 1.46051i
\(386\) −26.9776 + 19.6003i −1.37312 + 0.997631i
\(387\) 2.34168 + 1.12647i 0.119034 + 0.0572616i
\(388\) −5.16941 3.75580i −0.262437 0.190672i
\(389\) 27.9229 + 12.4321i 1.41575 + 0.630331i 0.964983 0.262312i \(-0.0844850\pi\)
0.450764 + 0.892643i \(0.351152\pi\)
\(390\) −19.4135 + 7.55967i −0.983043 + 0.382799i
\(391\) 43.9791 19.5808i 2.22412 0.990241i
\(392\) 26.5535 + 5.64413i 1.34116 + 0.285072i
\(393\) 11.0640 0.998144i 0.558103 0.0503497i
\(394\) −18.7461 + 20.8197i −0.944417 + 1.04888i
\(395\) −3.17318 + 0.917153i −0.159660 + 0.0461470i
\(396\) 22.4707 + 17.3611i 1.12920 + 0.872426i
\(397\) −2.97055 + 9.14241i −0.149088 + 0.458844i −0.997514 0.0704690i \(-0.977550\pi\)
0.848426 + 0.529313i \(0.177550\pi\)
\(398\) −14.2220 6.33205i −0.712886 0.317397i
\(399\) 7.82371 16.8972i 0.391675 0.845919i
\(400\) −0.124418 3.17791i −0.00622088 0.158895i
\(401\) 4.31447 7.47289i 0.215454 0.373178i −0.737959 0.674846i \(-0.764210\pi\)
0.953413 + 0.301668i \(0.0975434\pi\)
\(402\) −8.93857 3.05077i −0.445816 0.152159i
\(403\) −3.39814 + 0.722298i −0.169274 + 0.0359802i
\(404\) 14.6482 45.0827i 0.728778 2.24295i
\(405\) −5.97076 + 19.2185i −0.296689 + 0.954974i
\(406\) −13.3321 41.0321i −0.661663 2.03639i
\(407\) 0.992849 + 1.71967i 0.0492137 + 0.0852406i
\(408\) 19.5678 26.1141i 0.968752 1.29284i
\(409\) 21.7649 9.69034i 1.07620 0.479157i 0.209412 0.977827i \(-0.432845\pi\)
0.866791 + 0.498671i \(0.166178\pi\)
\(410\) 10.1822 0.733623i 0.502863 0.0362310i
\(411\) −4.67656 23.7160i −0.230678 1.16983i
\(412\) 2.97802 28.3340i 0.146717 1.39592i
\(413\) 4.07949 + 2.96392i 0.200739 + 0.145845i
\(414\) 11.9308 + 40.7734i 0.586364 + 2.00390i
\(415\) −9.84650 + 12.6580i −0.483346 + 0.621355i
\(416\) 1.58229 15.0545i 0.0775782 0.738107i
\(417\) −8.05443 18.8332i −0.394427 0.922265i
\(418\) −8.74575 + 15.1481i −0.427768 + 0.740917i
\(419\) −5.80677 1.23427i −0.283679 0.0602979i 0.0638744 0.997958i \(-0.479654\pi\)
−0.347554 + 0.937660i \(0.612988\pi\)
\(420\) −2.90467 50.7453i −0.141733 2.47612i
\(421\) 15.0822 3.20582i 0.735061 0.156242i 0.174853 0.984594i \(-0.444055\pi\)
0.560207 + 0.828353i \(0.310722\pi\)
\(422\) 15.7527 48.4818i 0.766829 2.36006i
\(423\) −20.6367 + 21.6027i −1.00339 + 1.05036i
\(424\) 1.28427 0.0623698
\(425\) 16.9547 + 34.3929i 0.822425 + 1.66830i
\(426\) 16.4012 35.4224i 0.794640 1.71622i
\(427\) −4.83023 45.9565i −0.233751 2.22399i
\(428\) 18.3751 + 20.4076i 0.888195 + 0.986440i
\(429\) −12.0925 + 3.73285i −0.583831 + 0.180224i
\(430\) 0.767802 + 4.30128i 0.0370267 + 0.207426i
\(431\) −3.02158 9.29948i −0.145545 0.447940i 0.851536 0.524296i \(-0.175671\pi\)
−0.997081 + 0.0763560i \(0.975671\pi\)
\(432\) −2.35596 2.31802i −0.113351 0.111526i
\(433\) −5.55389 17.0931i −0.266903 0.821443i −0.991249 0.132006i \(-0.957858\pi\)
0.724346 0.689437i \(-0.242142\pi\)
\(434\) 1.45959 13.8870i 0.0700624 0.666599i
\(435\) −14.5757 + 9.56574i −0.698852 + 0.458642i
\(436\) −0.477322 4.54142i −0.0228596 0.217494i
\(437\) −14.5111 + 6.46075i −0.694159 + 0.309059i
\(438\) 11.4013 6.36021i 0.544773 0.303903i
\(439\) 26.8307 + 11.9458i 1.28056 + 0.570142i 0.930399 0.366548i \(-0.119460\pi\)
0.350160 + 0.936690i \(0.386127\pi\)
\(440\) −0.551916 + 16.8235i −0.0263115 + 0.802029i
\(441\) 2.49141 + 33.0571i 0.118639 + 1.57415i
\(442\) 12.7478 + 39.2338i 0.606353 + 1.86616i
\(443\) −5.20445 9.01437i −0.247271 0.428285i 0.715497 0.698616i \(-0.246200\pi\)
−0.962768 + 0.270331i \(0.912867\pi\)
\(444\) 1.36335 + 3.18785i 0.0647019 + 0.151289i
\(445\) −0.878646 + 0.740439i −0.0416518 + 0.0351002i
\(446\) −8.61381 9.56660i −0.407876 0.452992i
\(447\) 4.77589 20.9450i 0.225892 0.990666i
\(448\) 50.6453 + 22.5487i 2.39276 + 1.06533i
\(449\) 11.4000 0.538000 0.269000 0.963140i \(-0.413307\pi\)
0.269000 + 0.963140i \(0.413307\pi\)
\(450\) −32.0798 + 10.7662i −1.51226 + 0.507523i
\(451\) 6.20132 0.292009
\(452\) −10.4491 4.65225i −0.491485 0.218823i
\(453\) 16.8135 + 15.5940i 0.789969 + 0.732672i
\(454\) 19.5517 + 21.7144i 0.917609 + 1.01911i
\(455\) 19.2362 + 11.9637i 0.901807 + 0.560866i
\(456\) −6.45648 + 8.61645i −0.302352 + 0.403502i
\(457\) −9.11863 15.7939i −0.426552 0.738809i 0.570012 0.821636i \(-0.306938\pi\)
−0.996564 + 0.0828271i \(0.973605\pi\)
\(458\) −5.33066 16.4061i −0.249085 0.766606i
\(459\) 37.3171 + 13.9782i 1.74181 + 0.652447i
\(460\) −26.6224 + 34.2239i −1.24128 + 1.59570i
\(461\) −34.8569 15.5193i −1.62345 0.722806i −0.625116 0.780532i \(-0.714948\pi\)
−0.998332 + 0.0577259i \(0.981615\pi\)
\(462\) 0.750137 50.8617i 0.0348995 2.36630i
\(463\) −14.5875 + 6.49477i −0.677939 + 0.301838i −0.716670 0.697412i \(-0.754335\pi\)
0.0387319 + 0.999250i \(0.487668\pi\)
\(464\) −0.299294 2.84759i −0.0138944 0.132196i
\(465\) −5.56886 + 0.909545i −0.258250 + 0.0421792i
\(466\) 0.0739936 0.704002i 0.00342769 0.0326123i
\(467\) −2.63535 8.11077i −0.121949 0.375321i 0.871384 0.490602i \(-0.163223\pi\)
−0.993333 + 0.115281i \(0.963223\pi\)
\(468\) −21.7405 + 3.95487i −1.00496 + 0.182814i
\(469\) 3.17353 + 9.76712i 0.146540 + 0.451004i
\(470\) −49.7596 6.88612i −2.29524 0.317633i
\(471\) 3.69757 16.2160i 0.170375 0.747194i
\(472\) −1.95102 2.16683i −0.0898032 0.0997365i
\(473\) 0.277435 + 2.63962i 0.0127565 + 0.121370i
\(474\) −5.74843 + 0.518600i −0.264034 + 0.0238201i
\(475\) −5.59428 11.3481i −0.256683 0.520684i
\(476\) −100.646 −4.61312
\(477\) 0.440438 + 1.50520i 0.0201663 + 0.0689184i
\(478\) 15.7601 48.5045i 0.720848 2.21854i
\(479\) −7.93651 + 1.68696i −0.362629 + 0.0770791i −0.385623 0.922657i \(-0.626013\pi\)
0.0229942 + 0.999736i \(0.492680\pi\)
\(480\) 3.72914 24.3021i 0.170211 1.10923i
\(481\) −1.51146 0.321272i −0.0689169 0.0146487i
\(482\) 18.1939 31.5128i 0.828709 1.43537i
\(483\) 27.7000 36.9669i 1.26039 1.68205i
\(484\) 0.520034 4.94779i 0.0236379 0.224900i
\(485\) 4.44353 1.28432i 0.201770 0.0583182i
\(486\) −16.6310 + 30.9845i −0.754398 + 1.40548i
\(487\) 12.1898 + 8.85644i 0.552374 + 0.401323i 0.828660 0.559752i \(-0.189104\pi\)
−0.276286 + 0.961076i \(0.589104\pi\)
\(488\) −2.79300 + 26.5736i −0.126433 + 1.20293i
\(489\) −18.6150 6.35337i −0.841799 0.287309i
\(490\) −42.6243 + 35.9197i −1.92557 + 1.62269i
\(491\) −3.50680 + 1.56133i −0.158260 + 0.0704618i −0.484338 0.874881i \(-0.660939\pi\)
0.326078 + 0.945343i \(0.394273\pi\)
\(492\) 10.7507 + 1.29050i 0.484679 + 0.0581803i
\(493\) 17.2610 + 29.8970i 0.777398 + 1.34649i
\(494\) −4.20620 12.9453i −0.189246 0.582438i
\(495\) −19.9068 + 5.12272i −0.894746 + 0.230249i
\(496\) 0.286367 0.881348i 0.0128583 0.0395737i
\(497\) −41.5169 + 8.82470i −1.86229 + 0.395842i
\(498\) −21.0991 + 18.4416i −0.945473 + 0.826389i
\(499\) −8.93474 + 15.4754i −0.399974 + 0.692775i −0.993722 0.111876i \(-0.964314\pi\)
0.593748 + 0.804651i \(0.297648\pi\)
\(500\) −28.0684 20.1224i −1.25525 0.899899i
\(501\) −31.9803 + 2.88513i −1.42878 + 0.128898i
\(502\) 37.7962 + 16.8280i 1.68693 + 0.751069i
\(503\) −12.3252 + 37.9329i −0.549552 + 1.69135i 0.160363 + 0.987058i \(0.448734\pi\)
−0.709915 + 0.704288i \(0.751266\pi\)
\(504\) 4.18990 31.0302i 0.186633 1.38220i
\(505\) 19.2481 + 28.4069i 0.856531 + 1.26409i
\(506\) −29.0352 + 32.2469i −1.29077 + 1.43355i
\(507\) −5.32280 + 11.4959i −0.236394 + 0.510550i
\(508\) 17.7098 + 3.76433i 0.785745 + 0.167015i
\(509\) 2.90742 1.29447i 0.128869 0.0573762i −0.341289 0.939958i \(-0.610864\pi\)
0.470158 + 0.882582i \(0.344197\pi\)
\(510\) 17.6535 + 64.6364i 0.781709 + 2.86215i
\(511\) −12.9683 5.77385i −0.573683 0.255420i
\(512\) 5.79508 + 4.21037i 0.256109 + 0.186074i
\(513\) −12.3129 4.61217i −0.543629 0.203632i
\(514\) 41.2309 29.9560i 1.81862 1.32130i
\(515\) 14.8655 + 14.2949i 0.655050 + 0.629907i
\(516\) −0.0683421 + 4.63382i −0.00300859 + 0.203993i
\(517\) −29.8483 6.34444i −1.31272 0.279028i
\(518\) 3.10543 5.37876i 0.136445 0.236329i
\(519\) 15.5004 + 1.86065i 0.680392 + 0.0816735i
\(520\) −9.44166 9.07924i −0.414044 0.398151i
\(521\) 5.21002 16.0348i 0.228255 0.702497i −0.769690 0.638418i \(-0.779589\pi\)
0.997945 0.0640786i \(-0.0204109\pi\)
\(522\) −28.1842 + 11.5650i −1.23359 + 0.506185i
\(523\) 4.47138 3.24865i 0.195520 0.142053i −0.485718 0.874115i \(-0.661442\pi\)
0.681238 + 0.732062i \(0.261442\pi\)
\(524\) 9.90600 + 17.1577i 0.432746 + 0.749537i
\(525\) 30.2851 + 20.8946i 1.32175 + 0.911914i
\(526\) −2.57437 + 4.45894i −0.112248 + 0.194419i
\(527\) 1.16791 + 11.1119i 0.0508750 + 0.484043i
\(528\) 0.750500 3.29138i 0.0326613 0.143239i
\(529\) −16.0470 + 3.41090i −0.697697 + 0.148300i
\(530\) −1.61912 + 2.08142i −0.0703300 + 0.0904113i
\(531\) 1.87048 3.02976i 0.0811720 0.131480i
\(532\) 33.2086 1.43978
\(533\) −3.22905 + 3.58623i −0.139866 + 0.155337i
\(534\) −1.75343 + 0.978155i −0.0758784 + 0.0423289i
\(535\) −19.8272 + 1.42854i −0.857205 + 0.0617613i
\(536\) −0.620723 5.90579i −0.0268112 0.255091i
\(537\) 0.480050 32.5490i 0.0207157 1.40459i
\(538\) −0.579883 + 5.51722i −0.0250005 + 0.237864i
\(539\) −27.3937 + 19.9027i −1.17993 + 0.857269i
\(540\) −35.5768 + 4.73819i −1.53098 + 0.203899i
\(541\) −3.34560 2.43072i −0.143838 0.104505i 0.513539 0.858066i \(-0.328334\pi\)
−0.657377 + 0.753562i \(0.728334\pi\)
\(542\) 21.7152 24.1172i 0.932749 1.03592i
\(543\) −2.17814 3.09286i −0.0934730 0.132727i
\(544\) −47.6205 10.1220i −2.04171 0.433979i
\(545\) 2.80696 + 1.74575i 0.120237 + 0.0747797i
\(546\) 29.0228 + 26.9177i 1.24206 + 1.15197i
\(547\) 41.5266 8.82676i 1.77555 0.377405i 0.800490 0.599346i \(-0.204573\pi\)
0.975060 + 0.221941i \(0.0712392\pi\)
\(548\) 34.8771 25.3397i 1.48988 1.08246i
\(549\) −32.1028 + 5.83989i −1.37011 + 0.249241i
\(550\) −26.5701 22.1044i −1.13295 0.942533i
\(551\) −5.69534 9.86462i −0.242630 0.420247i
\(552\) −20.1113 + 17.5782i −0.855993 + 0.748180i
\(553\) 4.19938 + 4.66389i 0.178576 + 0.198329i
\(554\) 42.3363 + 47.0192i 1.79870 + 1.99765i
\(555\) −2.42738 0.637897i −0.103037 0.0270772i
\(556\) 24.4437 27.1475i 1.03664 1.15131i
\(557\) −15.6043 −0.661177 −0.330588 0.943775i \(-0.607247\pi\)
−0.330588 + 0.943775i \(0.607247\pi\)
\(558\) −9.85566 0.290777i −0.417224 0.0123096i
\(559\) −1.67096 1.21402i −0.0706740 0.0513476i
\(560\) −5.32938 + 2.84814i −0.225207 + 0.120356i
\(561\) 7.87443 + 39.9332i 0.332459 + 1.68598i
\(562\) −24.6586 + 10.9787i −1.04016 + 0.463110i
\(563\) −38.2572 + 17.0332i −1.61235 + 0.717865i −0.997492 0.0707733i \(-0.977453\pi\)
−0.614858 + 0.788638i \(0.710787\pi\)
\(564\) −50.4251 17.2103i −2.12328 0.724683i
\(565\) 7.30235 3.90253i 0.307212 0.164181i
\(566\) 56.7614 + 41.2396i 2.38586 + 1.73343i
\(567\) 37.8051 5.73107i 1.58767 0.240682i
\(568\) 24.5428 1.02979
\(569\) 16.0904 17.8702i 0.674546 0.749159i −0.304564 0.952492i \(-0.598511\pi\)
0.979110 + 0.203333i \(0.0651774\pi\)
\(570\) −5.82483 21.3270i −0.243975 0.893291i
\(571\) 11.0384 + 12.2594i 0.461944 + 0.513041i 0.928440 0.371482i \(-0.121150\pi\)
−0.466496 + 0.884523i \(0.654484\pi\)
\(572\) −15.1025 16.7730i −0.631467 0.701315i
\(573\) −4.18929 21.2449i −0.175010 0.887520i
\(574\) −9.69823 16.7978i −0.404796 0.701128i
\(575\) −7.72176 30.4222i −0.322020 1.26869i
\(576\) 13.1895 36.8572i 0.549562 1.53572i
\(577\) −6.91645 + 5.02510i −0.287936 + 0.209198i −0.722371 0.691505i \(-0.756948\pi\)
0.434436 + 0.900703i \(0.356948\pi\)
\(578\) 92.2645 19.6114i 3.83770 0.815728i
\(579\) 5.69188 24.9622i 0.236546 1.03739i
\(580\) −26.4031 16.4210i −1.09633 0.681846i
\(581\) 29.8042 + 6.33508i 1.23649 + 0.262823i
\(582\) 8.04975 0.726215i 0.333673 0.0301026i
\(583\) −1.07187 + 1.19043i −0.0443924 + 0.0493027i
\(584\) 6.64069 + 4.82474i 0.274794 + 0.199649i
\(585\) 7.40311 14.1796i 0.306081 0.586253i
\(586\) −35.5995 + 25.8646i −1.47060 + 1.06846i
\(587\) 1.54336 14.6841i 0.0637014 0.606078i −0.915377 0.402597i \(-0.868108\pi\)
0.979079 0.203482i \(-0.0652257\pi\)
\(588\) −51.6318 + 28.8029i −2.12926 + 1.18781i
\(589\) −0.385356 3.66642i −0.0158783 0.151072i
\(590\) 5.97150 0.430244i 0.245843 0.0177129i
\(591\) 0.317210 21.5079i 0.0130483 0.884717i
\(592\) 0.275809 0.306317i 0.0113357 0.0125895i
\(593\) 39.0327 1.60288 0.801441 0.598074i \(-0.204067\pi\)
0.801441 + 0.598074i \(0.204067\pi\)
\(594\) −35.8528 + 2.17093i −1.47106 + 0.0890743i
\(595\) 44.7332 57.5058i 1.83388 2.35751i
\(596\) 37.4757 7.96570i 1.53506 0.326288i
\(597\) 11.4212 3.52563i 0.467438 0.144294i
\(598\) −3.52963 33.5822i −0.144337 1.37328i
\(599\) 2.16975 3.75811i 0.0886534 0.153552i −0.818289 0.574807i \(-0.805077\pi\)
0.906942 + 0.421255i \(0.138410\pi\)
\(600\) −14.6172 15.4588i −0.596745 0.631105i
\(601\) 7.63713 + 13.2279i 0.311525 + 0.539577i 0.978693 0.205331i \(-0.0658270\pi\)
−0.667168 + 0.744907i \(0.732494\pi\)
\(602\) 6.71620 4.87960i 0.273732 0.198878i
\(603\) 6.70886 2.75288i 0.273206 0.112106i
\(604\) −12.6380 + 38.8958i −0.514233 + 1.58265i
\(605\) 2.59586 + 2.49622i 0.105537 + 0.101486i
\(606\) 23.5775 + 55.1299i 0.957771 + 2.23950i
\(607\) −16.3162 + 28.2605i −0.662255 + 1.14706i 0.317766 + 0.948169i \(0.397067\pi\)
−0.980022 + 0.198891i \(0.936266\pi\)
\(608\) 15.7126 + 3.33981i 0.637229 + 0.135447i
\(609\) 28.4401 + 16.9840i 1.15245 + 0.688225i
\(610\) −39.5467 38.0287i −1.60120 1.53974i
\(611\) 19.2111 13.9577i 0.777199 0.564668i
\(612\) 5.34107 + 70.8675i 0.215900 + 2.86465i
\(613\) −13.4253 9.75406i −0.542243 0.393963i 0.282674 0.959216i \(-0.408778\pi\)
−0.824917 + 0.565253i \(0.808778\pi\)
\(614\) −55.7140 24.8055i −2.24843 1.00107i
\(615\) −5.51560 + 5.56900i −0.222410 + 0.224564i
\(616\) 29.2171 13.0083i 1.17719 0.524119i
\(617\) −36.6450 7.78913i −1.47527 0.313578i −0.601091 0.799181i \(-0.705267\pi\)
−0.874180 + 0.485602i \(0.838600\pi\)
\(618\) 20.7499 + 29.4640i 0.834685 + 1.18522i
\(619\) −10.6559 + 11.8346i −0.428296 + 0.475671i −0.918207 0.396102i \(-0.870363\pi\)
0.489910 + 0.871773i \(0.337029\pi\)
\(620\) −5.64494 8.33095i −0.226706 0.334579i
\(621\) −27.4993 17.5425i −1.10351 0.703957i
\(622\) 14.6178 44.9889i 0.586119 1.80389i
\(623\) 1.99443 + 0.887976i 0.0799050 + 0.0355760i
\(624\) 1.51262 + 2.14785i 0.0605532 + 0.0859828i
\(625\) 23.9725 7.09371i 0.958899 0.283749i
\(626\) −31.0423 + 53.7669i −1.24070 + 2.14896i
\(627\) −2.59820 13.1761i −0.103762 0.526204i
\(628\) 29.0143 6.16718i 1.15780 0.246097i
\(629\) −1.53573 + 4.72648i −0.0612334 + 0.188457i
\(630\) 45.0084 + 45.9113i 1.79318 + 1.82915i
\(631\) −3.82191 11.7626i −0.152148 0.468263i 0.845713 0.533638i \(-0.179176\pi\)
−0.997861 + 0.0653753i \(0.979176\pi\)
\(632\) −1.81446 3.14274i −0.0721754 0.125012i
\(633\) 15.3905 + 35.9867i 0.611717 + 1.43034i
\(634\) 12.9067 5.74642i 0.512589 0.228219i
\(635\) −10.0221 + 8.44567i −0.397715 + 0.335156i
\(636\) −2.10594 + 1.84070i −0.0835060 + 0.0729883i
\(637\) 2.75428 26.2052i 0.109128 1.03829i
\(638\) −25.1740 18.2900i −0.996649 0.724108i
\(639\) 8.41690 + 28.7648i 0.332967 + 1.13792i
\(640\) 35.9596 10.3935i 1.42143 0.410839i
\(641\) −2.44347 + 23.2481i −0.0965114 + 0.918244i 0.833946 + 0.551845i \(0.186076\pi\)
−0.930458 + 0.366399i \(0.880591\pi\)
\(642\) −34.4883 4.13993i −1.36114 0.163390i
\(643\) −1.29303 + 2.23959i −0.0509921 + 0.0883208i −0.890395 0.455189i \(-0.849572\pi\)
0.839403 + 0.543510i \(0.182905\pi\)
\(644\) 80.5829 + 17.1284i 3.17541 + 0.674955i
\(645\) −2.61723 2.09859i −0.103053 0.0826321i
\(646\) −42.8203 + 9.10173i −1.68474 + 0.358103i
\(647\) −5.47796 + 16.8594i −0.215361 + 0.662812i 0.783767 + 0.621055i \(0.213296\pi\)
−0.999128 + 0.0417574i \(0.986704\pi\)
\(648\) −22.0715 1.30351i −0.867050 0.0512066i
\(649\) 3.63686 0.142759
\(650\) 26.6181 3.85566i 1.04405 0.151232i
\(651\) 6.17312 + 8.76555i 0.241944 + 0.343549i
\(652\) −3.66676 34.8869i −0.143601 1.36628i
\(653\) −2.36951 2.63160i −0.0927259 0.102983i 0.694996 0.719014i \(-0.255406\pi\)
−0.787722 + 0.616031i \(0.788740\pi\)
\(654\) 4.23502 + 3.92785i 0.165603 + 0.153591i
\(655\) −14.2061 1.96595i −0.555079 0.0768161i
\(656\) −0.397787 1.22426i −0.0155310 0.0477994i
\(657\) −3.37731 + 9.43768i −0.131761 + 0.368199i
\(658\) 29.4941 + 90.7736i 1.14980 + 3.53872i
\(659\) −1.37129 + 13.0470i −0.0534179 + 0.508237i 0.934799 + 0.355177i \(0.115579\pi\)
−0.988217 + 0.153060i \(0.951087\pi\)
\(660\) −23.2074 28.3781i −0.903347 1.10462i
\(661\) −4.11615 39.1625i −0.160100 1.52325i −0.719585 0.694405i \(-0.755668\pi\)
0.559485 0.828840i \(-0.310999\pi\)
\(662\) 4.93365 2.19660i 0.191752 0.0853734i
\(663\) −27.1937 16.2396i −1.05611 0.630695i
\(664\) −16.0956 7.16622i −0.624630 0.278103i
\(665\) −14.7599 + 18.9743i −0.572364 + 0.735790i
\(666\) −3.95212 1.90117i −0.153141 0.0736689i
\(667\) −8.73212 26.8747i −0.338109 1.04059i
\(668\) −28.6333 49.5943i −1.10785 1.91886i
\(669\) 9.81346 + 1.17800i 0.379410 + 0.0455440i
\(670\) 10.3541 + 6.43959i 0.400013 + 0.248783i
\(671\) −22.3009 24.7676i −0.860915 0.956143i
\(672\) −44.6364 + 13.7789i −1.72189 + 0.531533i
\(673\) −39.4094 17.5462i −1.51912 0.676356i −0.533573 0.845754i \(-0.679151\pi\)
−0.985548 + 0.169398i \(0.945818\pi\)
\(674\) 15.8668 0.611166
\(675\) 13.1052 22.4333i 0.504420 0.863458i
\(676\) −22.5932 −0.868971
\(677\) 27.8062 + 12.3801i 1.06868 + 0.475807i 0.864244 0.503072i \(-0.167797\pi\)
0.204437 + 0.978880i \(0.434464\pi\)
\(678\) 13.8243 4.26745i 0.530920 0.163891i
\(679\) −5.88055 6.53102i −0.225675 0.250637i
\(680\) −32.2144 + 27.1473i −1.23537 + 1.04105i
\(681\) −22.2747 2.67383i −0.853569 0.102461i
\(682\) −5.03551 8.72175i −0.192820 0.333973i
\(683\) 15.4441 + 47.5321i 0.590952 + 1.81876i 0.573924 + 0.818909i \(0.305420\pi\)
0.0170281 + 0.999855i \(0.494580\pi\)
\(684\) −1.76231 23.3830i −0.0673835 0.894072i
\(685\) −1.02323 + 31.1901i −0.0390956 + 1.19171i
\(686\) 35.4628 + 15.7890i 1.35397 + 0.602828i
\(687\) 11.3714 + 6.79079i 0.433844 + 0.259085i
\(688\) 0.503317 0.224091i 0.0191888 0.00854340i
\(689\) −0.130301 1.23973i −0.00496406 0.0472299i
\(690\) −3.13423 54.7558i −0.119318 2.08452i
\(691\) 1.95655 18.6153i 0.0744305 0.708159i −0.892140 0.451759i \(-0.850797\pi\)
0.966571 0.256400i \(-0.0825365\pi\)
\(692\) 8.60379 + 26.4797i 0.327067 + 1.00661i
\(693\) 25.2660 + 29.7820i 0.959775 + 1.13132i
\(694\) −8.10753 24.9524i −0.307758 0.947181i
\(695\) 4.64690 + 26.0322i 0.176267 + 0.987459i
\(696\) −14.0438 13.0252i −0.532329 0.493719i
\(697\) 10.3852 + 11.5339i 0.393366 + 0.436877i
\(698\) −4.47302 42.5579i −0.169306 1.61084i
\(699\) 0.312945 + 0.444368i 0.0118367 + 0.0168076i
\(700\) −11.1216 + 64.6697i −0.420355 + 2.44429i
\(701\) 37.2362 1.40639 0.703195 0.710997i \(-0.251756\pi\)
0.703195 + 0.710997i \(0.251756\pi\)
\(702\) 17.4133 21.8641i 0.657221 0.825208i
\(703\) 0.506719 1.55952i 0.0191113 0.0588184i
\(704\) 39.1103 8.31315i 1.47402 0.313314i
\(705\) 32.2453 21.1619i 1.21443 0.797003i
\(706\) 40.5523 + 8.61967i 1.52621 + 0.324405i
\(707\) 32.5985 56.4622i 1.22599 2.12348i
\(708\) 6.30491 + 0.756834i 0.236953 + 0.0284436i
\(709\) 5.22998 49.7599i 0.196416 1.86877i −0.242373 0.970183i \(-0.577926\pi\)
0.438789 0.898590i \(-0.355407\pi\)
\(710\) −30.9418 + 39.7766i −1.16123 + 1.49279i
\(711\) 3.06111 3.20439i 0.114800 0.120174i
\(712\) −1.02129 0.742010i −0.0382744 0.0278080i
\(713\) 0.955983 9.09557i 0.0358019 0.340632i
\(714\) 95.8544 83.7814i 3.58726 3.13544i
\(715\) 16.2960 1.17412i 0.609435 0.0439095i
\(716\) 53.0362 23.6132i 1.98206 0.882468i
\(717\) 15.3977 + 36.0035i 0.575037 + 1.34458i
\(718\) 13.4413 + 23.2809i 0.501623 + 0.868837i
\(719\) 12.5051 + 38.4868i 0.466362 + 1.43532i 0.857261 + 0.514882i \(0.172164\pi\)
−0.390899 + 0.920434i \(0.627836\pi\)
\(720\) 2.28826 + 3.60140i 0.0852785 + 0.134216i
\(721\) 12.1088 37.2669i 0.450954 1.38789i
\(722\) −27.7964 + 5.90831i −1.03448 + 0.219885i
\(723\) 5.40507 + 27.4105i 0.201017 + 1.01941i
\(724\) 3.37325 5.84265i 0.125366 0.217140i
\(725\) 21.1175 7.78732i 0.784285 0.289214i
\(726\) 3.62344 + 5.14512i 0.134478 + 0.190953i
\(727\) 19.5293 + 8.69500i 0.724301 + 0.322480i 0.735562 0.677457i \(-0.236918\pi\)
−0.0112613 + 0.999937i \(0.503585\pi\)
\(728\) −7.69076 + 23.6697i −0.285039 + 0.877259i
\(729\) −6.04162 26.3154i −0.223764 0.974643i
\(730\) −16.1916 + 4.67989i −0.599277 + 0.173211i
\(731\) −4.44484 + 4.93650i −0.164398 + 0.182583i
\(732\) −33.5069 47.5784i −1.23845 1.75855i
\(733\) 15.0890 + 3.20726i 0.557324 + 0.118463i 0.477958 0.878383i \(-0.341377\pi\)
0.0793660 + 0.996846i \(0.474710\pi\)
\(734\) −53.5083 + 23.8234i −1.97503 + 0.879339i
\(735\) 6.49127 42.3024i 0.239434 1.56035i
\(736\) 36.4050 + 16.2085i 1.34190 + 0.597454i
\(737\) 5.99233 + 4.35368i 0.220730 + 0.160370i
\(738\) −11.3131 + 7.72019i −0.416441 + 0.284184i
\(739\) −25.1767 + 18.2919i −0.926139 + 0.672879i −0.945044 0.326942i \(-0.893982\pi\)
0.0189056 + 0.999821i \(0.493982\pi\)
\(740\) −0.786570 4.40642i −0.0289149 0.161983i
\(741\) 8.97266 + 5.35832i 0.329619 + 0.196843i
\(742\) 4.90089 + 1.04172i 0.179917 + 0.0382426i
\(743\) −14.4868 + 25.0919i −0.531470 + 0.920533i 0.467856 + 0.883805i \(0.345027\pi\)
−0.999325 + 0.0367277i \(0.988307\pi\)
\(744\) −2.43769 5.69992i −0.0893702 0.208969i
\(745\) −12.1051 + 24.9527i −0.443496 + 0.914198i
\(746\) 26.3706 81.1605i 0.965497 2.97150i
\(747\) 2.87904 21.3221i 0.105339 0.780134i
\(748\) −58.7264 + 42.6672i −2.14725 + 1.56007i
\(749\) 18.8848 + 32.7095i 0.690036 + 1.19518i
\(750\) 43.4825 4.20074i 1.58776 0.153389i
\(751\) −10.6074 + 18.3726i −0.387070 + 0.670425i −0.992054 0.125813i \(-0.959846\pi\)
0.604984 + 0.796238i \(0.293179\pi\)
\(752\) 0.662115 + 6.29960i 0.0241448 + 0.229723i
\(753\) −30.3528 + 9.36965i −1.10612 + 0.341449i
\(754\) 23.6853 5.03448i 0.862569 0.183345i
\(755\) −16.6066 24.5085i −0.604377 0.891957i
\(756\) 37.6038 + 56.8884i 1.36764 + 2.06901i
\(757\) 35.8369 1.30251 0.651257 0.758857i \(-0.274242\pi\)
0.651257 + 0.758857i \(0.274242\pi\)
\(758\) 41.5284 46.1220i 1.50838 1.67523i
\(759\) 0.491316 33.3128i 0.0178336 1.20918i
\(760\) 10.6293 8.95735i 0.385564 0.324917i
\(761\) 4.23275 + 40.2719i 0.153437 + 1.45986i 0.752203 + 0.658931i \(0.228991\pi\)
−0.598766 + 0.800924i \(0.704342\pi\)
\(762\) −20.0002 + 11.1571i −0.724530 + 0.404180i
\(763\) 0.656501 6.24619i 0.0237669 0.226127i
\(764\) 31.2431 22.6995i 1.13034 0.821237i
\(765\) −42.8651 28.4460i −1.54979 1.02847i
\(766\) −53.7686 39.0652i −1.94274 1.41148i
\(767\) −1.89373 + 2.10320i −0.0683785 + 0.0759421i
\(768\) 20.1240 1.81550i 0.726162 0.0655113i
\(769\) −20.3031 4.31556i −0.732150 0.155623i −0.173273 0.984874i \(-0.555434\pi\)
−0.558877 + 0.829251i \(0.688768\pi\)
\(770\) −15.7522 + 63.7521i −0.567671 + 2.29747i
\(771\) −8.69913 + 38.1508i −0.313292