Properties

Label 588.2.ba.a.187.27
Level $588$
Weight $2$
Character 588.187
Analytic conductor $4.695$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.ba (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(28\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 187.27
Character \(\chi\) \(=\) 588.187
Dual form 588.2.ba.a.283.27

$q$-expansion

\(f(q)\) \(=\) \(q+(1.40887 - 0.122812i) q^{2} +(0.988831 + 0.149042i) q^{3} +(1.96983 - 0.346052i) q^{4} +(-2.61791 + 1.02745i) q^{5} +(1.41144 + 0.0885414i) q^{6} +(2.63745 + 0.209446i) q^{7} +(2.73274 - 0.729461i) q^{8} +(0.955573 + 0.294755i) q^{9} +O(q^{10})\) \(q+(1.40887 - 0.122812i) q^{2} +(0.988831 + 0.149042i) q^{3} +(1.96983 - 0.346052i) q^{4} +(-2.61791 + 1.02745i) q^{5} +(1.41144 + 0.0885414i) q^{6} +(2.63745 + 0.209446i) q^{7} +(2.73274 - 0.729461i) q^{8} +(0.955573 + 0.294755i) q^{9} +(-3.56211 + 1.76906i) q^{10} +(0.0741409 + 0.240359i) q^{11} +(1.99941 - 0.0485979i) q^{12} +(1.99817 + 0.456069i) q^{13} +(3.74155 - 0.0288269i) q^{14} +(-2.74180 + 0.625798i) q^{15} +(3.76050 - 1.36333i) q^{16} +(0.553691 - 0.812116i) q^{17} +(1.38248 + 0.297917i) q^{18} +(-2.11045 + 3.65541i) q^{19} +(-4.80129 + 2.92984i) q^{20} +(2.57677 + 0.600198i) q^{21} +(0.133974 + 0.329529i) q^{22} +(-4.14505 - 6.07967i) q^{23} +(2.81094 - 0.314019i) q^{24} +(2.13251 - 1.97868i) q^{25} +(2.87118 + 0.397144i) q^{26} +(0.900969 + 0.433884i) q^{27} +(5.26782 - 0.500119i) q^{28} +(0.989785 - 0.476655i) q^{29} +(-3.78599 + 1.21839i) q^{30} +(4.36774 + 7.56514i) q^{31} +(5.13062 - 2.38259i) q^{32} +(0.0374892 + 0.248725i) q^{33} +(0.680342 - 1.21217i) q^{34} +(-7.11978 + 2.16154i) q^{35} +(1.98432 + 0.249941i) q^{36} +(0.541656 - 7.22789i) q^{37} +(-2.52443 + 5.40919i) q^{38} +(1.90788 + 0.748787i) q^{39} +(-6.40458 + 4.71742i) q^{40} +(-4.29173 - 3.42254i) q^{41} +(3.70405 + 0.529144i) q^{42} +(-4.26544 + 3.40157i) q^{43} +(0.229222 + 0.447811i) q^{44} +(-2.80445 + 0.210164i) q^{45} +(-6.58649 - 8.05641i) q^{46} +(-7.47808 - 6.93865i) q^{47} +(3.92169 - 0.787629i) q^{48} +(6.91226 + 1.10481i) q^{49} +(2.76143 - 3.04960i) q^{50} +(0.668547 - 0.720522i) q^{51} +(4.09389 + 0.206911i) q^{52} +(-0.250022 - 3.33632i) q^{53} +(1.32263 + 0.500637i) q^{54} +(-0.441051 - 0.553061i) q^{55} +(7.36025 - 1.35155i) q^{56} +(-2.63169 + 3.30004i) q^{57} +(1.33594 - 0.793103i) q^{58} +(-3.61541 + 9.21191i) q^{59} +(-5.18433 + 2.18152i) q^{60} +(-8.77846 - 0.657855i) q^{61} +(7.08266 + 10.1219i) q^{62} +(2.45854 + 0.977542i) q^{63} +(6.93577 - 3.98686i) q^{64} +(-5.69961 + 0.859078i) q^{65} +(0.0833637 + 0.345817i) q^{66} +(-3.02809 + 1.74827i) q^{67} +(0.809647 - 1.79134i) q^{68} +(-3.19262 - 6.62955i) q^{69} +(-9.76540 + 3.91973i) q^{70} +(1.80982 - 3.75813i) q^{71} +(2.82635 + 0.108438i) q^{72} +(-11.3963 - 12.2823i) q^{73} +(-0.124547 - 10.2497i) q^{74} +(2.40360 - 1.63875i) q^{75} +(-2.89228 + 7.93088i) q^{76} +(0.145201 + 0.649463i) q^{77} +(2.77992 + 0.820635i) q^{78} +(-7.19109 - 4.15178i) q^{79} +(-8.44387 + 7.43280i) q^{80} +(0.826239 + 0.563320i) q^{81} +(-6.46682 - 4.29484i) q^{82} +(0.432683 + 1.89571i) q^{83} +(5.28352 + 0.290594i) q^{84} +(-0.615101 + 2.69493i) q^{85} +(-5.59170 + 5.31622i) q^{86} +(1.04977 - 0.323812i) q^{87} +(0.377941 + 0.602757i) q^{88} +(-0.340395 + 1.10353i) q^{89} +(-3.92529 + 0.640513i) q^{90} +(5.17455 + 1.62137i) q^{91} +(-10.2689 - 10.5415i) q^{92} +(3.19143 + 8.13162i) q^{93} +(-11.3878 - 8.85726i) q^{94} +(1.76921 - 11.7379i) q^{95} +(5.42842 - 1.59130i) q^{96} -5.11450i q^{97} +(9.87417 + 0.707623i) q^{98} +0.251534i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336q - 28q^{3} + 2q^{7} - 6q^{8} + 28q^{9} + O(q^{10}) \) \( 336q - 28q^{3} + 2q^{7} - 6q^{8} + 28q^{9} + 41q^{10} + 6q^{11} + 52q^{14} + 20q^{16} - 6q^{19} - 25q^{20} + 4q^{21} + 6q^{22} + 9q^{24} - 26q^{25} - 18q^{26} + 56q^{27} + 5q^{30} + 2q^{31} + 15q^{32} + 6q^{33} + 44q^{34} - 12q^{35} + 16q^{37} - 100q^{38} + 8q^{39} - 7q^{40} - 7q^{42} - 53q^{44} - 10q^{46} + 4q^{47} + 8q^{48} - 4q^{49} - 114q^{50} - 28q^{52} - 4q^{53} + q^{56} - 12q^{57} + 27q^{58} - 10q^{59} - 7q^{60} + 2q^{61} - 16q^{62} - 12q^{63} - 84q^{64} - 4q^{65} + 21q^{66} + 42q^{67} + 26q^{68} - 70q^{70} + 28q^{71} + 15q^{72} + 18q^{73} + 20q^{74} + 54q^{75} + 49q^{76} - 8q^{77} - 6q^{78} - 6q^{79} - 40q^{80} + 28q^{81} - 99q^{82} + 10q^{83} + 54q^{84} + 24q^{85} - 314q^{86} - 40q^{88} + 20q^{90} - 34q^{91} + 14q^{92} - 2q^{93} - 152q^{94} - 24q^{95} - 10q^{96} - 156q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.40887 0.122812i 0.996222 0.0868410i
\(3\) 0.988831 + 0.149042i 0.570902 + 0.0860496i
\(4\) 1.96983 0.346052i 0.984917 0.173026i
\(5\) −2.61791 + 1.02745i −1.17076 + 0.459491i −0.869443 0.494033i \(-0.835522\pi\)
−0.301319 + 0.953523i \(0.597427\pi\)
\(6\) 1.41144 + 0.0885414i 0.576218 + 0.0361469i
\(7\) 2.63745 + 0.209446i 0.996862 + 0.0791632i
\(8\) 2.73274 0.729461i 0.966171 0.257903i
\(9\) 0.955573 + 0.294755i 0.318524 + 0.0982517i
\(10\) −3.56211 + 1.76906i −1.12644 + 0.559425i
\(11\) 0.0741409 + 0.240359i 0.0223543 + 0.0724710i 0.966063 0.258308i \(-0.0831648\pi\)
−0.943708 + 0.330779i \(0.892689\pi\)
\(12\) 1.99941 0.0485979i 0.577180 0.0140290i
\(13\) 1.99817 + 0.456069i 0.554193 + 0.126491i 0.490440 0.871475i \(-0.336836\pi\)
0.0637526 + 0.997966i \(0.479693\pi\)
\(14\) 3.74155 0.0288269i 0.999970 0.00770432i
\(15\) −2.74180 + 0.625798i −0.707929 + 0.161580i
\(16\) 3.76050 1.36333i 0.940124 0.340832i
\(17\) 0.553691 0.812116i 0.134290 0.196967i −0.753203 0.657788i \(-0.771492\pi\)
0.887493 + 0.460821i \(0.152445\pi\)
\(18\) 1.38248 + 0.297917i 0.325853 + 0.0702196i
\(19\) −2.11045 + 3.65541i −0.484171 + 0.838609i −0.999835 0.0181822i \(-0.994212\pi\)
0.515664 + 0.856791i \(0.327545\pi\)
\(20\) −4.80129 + 2.92984i −1.07360 + 0.655132i
\(21\) 2.57677 + 0.600198i 0.562298 + 0.130974i
\(22\) 0.133974 + 0.329529i 0.0285633 + 0.0702559i
\(23\) −4.14505 6.07967i −0.864302 1.26770i −0.962156 0.272498i \(-0.912150\pi\)
0.0978540 0.995201i \(-0.468802\pi\)
\(24\) 2.81094 0.314019i 0.573781 0.0640988i
\(25\) 2.13251 1.97868i 0.426502 0.395736i
\(26\) 2.87118 + 0.397144i 0.563084 + 0.0778864i
\(27\) 0.900969 + 0.433884i 0.173392 + 0.0835010i
\(28\) 5.26782 0.500119i 0.995524 0.0945136i
\(29\) 0.989785 0.476655i 0.183798 0.0885127i −0.339722 0.940526i \(-0.610333\pi\)
0.523520 + 0.852013i \(0.324619\pi\)
\(30\) −3.78599 + 1.21839i −0.691223 + 0.222447i
\(31\) 4.36774 + 7.56514i 0.784469 + 1.35874i 0.929316 + 0.369285i \(0.120398\pi\)
−0.144847 + 0.989454i \(0.546269\pi\)
\(32\) 5.13062 2.38259i 0.906974 0.421186i
\(33\) 0.0374892 + 0.248725i 0.00652603 + 0.0432974i
\(34\) 0.680342 1.21217i 0.116678 0.207885i
\(35\) −7.11978 + 2.16154i −1.20346 + 0.365367i
\(36\) 1.98432 + 0.249941i 0.330720 + 0.0416569i
\(37\) 0.541656 7.22789i 0.0890476 1.18826i −0.756367 0.654147i \(-0.773028\pi\)
0.845415 0.534111i \(-0.179353\pi\)
\(38\) −2.52443 + 5.40919i −0.409516 + 0.877487i
\(39\) 1.90788 + 0.748787i 0.305505 + 0.119902i
\(40\) −6.40458 + 4.71742i −1.01265 + 0.745890i
\(41\) −4.29173 3.42254i −0.670256 0.534511i 0.228178 0.973619i \(-0.426723\pi\)
−0.898434 + 0.439108i \(0.855294\pi\)
\(42\) 3.70405 + 0.529144i 0.571548 + 0.0816486i
\(43\) −4.26544 + 3.40157i −0.650473 + 0.518735i −0.892218 0.451605i \(-0.850852\pi\)
0.241745 + 0.970340i \(0.422280\pi\)
\(44\) 0.229222 + 0.447811i 0.0345565 + 0.0675100i
\(45\) −2.80445 + 0.210164i −0.418062 + 0.0313294i
\(46\) −6.58649 8.05641i −0.971125 1.18785i
\(47\) −7.47808 6.93865i −1.09079 1.01211i −0.999868 0.0162479i \(-0.994828\pi\)
−0.0909227 0.995858i \(-0.528982\pi\)
\(48\) 3.92169 0.787629i 0.566047 0.113684i
\(49\) 6.91226 + 1.10481i 0.987466 + 0.157829i
\(50\) 2.76143 3.04960i 0.390525 0.431279i
\(51\) 0.668547 0.720522i 0.0936153 0.100893i
\(52\) 4.09389 + 0.206911i 0.567720 + 0.0286934i
\(53\) −0.250022 3.33632i −0.0343432 0.458278i −0.987692 0.156409i \(-0.950008\pi\)
0.953349 0.301870i \(-0.0976107\pi\)
\(54\) 1.32263 + 0.500637i 0.179988 + 0.0681280i
\(55\) −0.441051 0.553061i −0.0594713 0.0745747i
\(56\) 7.36025 1.35155i 0.983555 0.180609i
\(57\) −2.63169 + 3.30004i −0.348576 + 0.437101i
\(58\) 1.33594 0.793103i 0.175418 0.104140i
\(59\) −3.61541 + 9.21191i −0.470686 + 1.19929i 0.476663 + 0.879086i \(0.341846\pi\)
−0.947349 + 0.320203i \(0.896249\pi\)
\(60\) −5.18433 + 2.18152i −0.669294 + 0.281633i
\(61\) −8.77846 0.657855i −1.12397 0.0842297i −0.500251 0.865881i \(-0.666759\pi\)
−0.623716 + 0.781651i \(0.714378\pi\)
\(62\) 7.08266 + 10.1219i 0.899499 + 1.28548i
\(63\) 2.45854 + 0.977542i 0.309747 + 0.123159i
\(64\) 6.93577 3.98686i 0.866972 0.498357i
\(65\) −5.69961 + 0.859078i −0.706950 + 0.106556i
\(66\) 0.0833637 + 0.345817i 0.0102614 + 0.0425671i
\(67\) −3.02809 + 1.74827i −0.369940 + 0.213585i −0.673432 0.739249i \(-0.735181\pi\)
0.303492 + 0.952834i \(0.401847\pi\)
\(68\) 0.809647 1.79134i 0.0981841 0.217232i
\(69\) −3.19262 6.62955i −0.384347 0.798104i
\(70\) −9.76540 + 3.91973i −1.16719 + 0.468497i
\(71\) 1.80982 3.75813i 0.214786 0.446009i −0.765541 0.643387i \(-0.777529\pi\)
0.980327 + 0.197379i \(0.0632428\pi\)
\(72\) 2.82635 + 0.108438i 0.333088 + 0.0127795i
\(73\) −11.3963 12.2823i −1.33384 1.43753i −0.810930 0.585143i \(-0.801038\pi\)
−0.522906 0.852391i \(-0.675152\pi\)
\(74\) −0.124547 10.2497i −0.0144782 1.19150i
\(75\) 2.40360 1.63875i 0.277544 0.189226i
\(76\) −2.89228 + 7.93088i −0.331767 + 0.909734i
\(77\) 0.145201 + 0.649463i 0.0165471 + 0.0740132i
\(78\) 2.77992 + 0.820635i 0.314763 + 0.0929186i
\(79\) −7.19109 4.15178i −0.809061 0.467111i 0.0375690 0.999294i \(-0.488039\pi\)
−0.846630 + 0.532183i \(0.821372\pi\)
\(80\) −8.44387 + 7.43280i −0.944053 + 0.831012i
\(81\) 0.826239 + 0.563320i 0.0918043 + 0.0625911i
\(82\) −6.46682 4.29484i −0.714141 0.474286i
\(83\) 0.432683 + 1.89571i 0.0474932 + 0.208081i 0.993107 0.117210i \(-0.0373949\pi\)
−0.945614 + 0.325291i \(0.894538\pi\)
\(84\) 5.28352 + 0.290594i 0.576479 + 0.0317064i
\(85\) −0.615101 + 2.69493i −0.0667171 + 0.292307i
\(86\) −5.59170 + 5.31622i −0.602969 + 0.573263i
\(87\) 1.04977 0.323812i 0.112547 0.0347163i
\(88\) 0.377941 + 0.602757i 0.0402886 + 0.0642541i
\(89\) −0.340395 + 1.10353i −0.0360818 + 0.116974i −0.971822 0.235715i \(-0.924257\pi\)
0.935740 + 0.352690i \(0.114733\pi\)
\(90\) −3.92529 + 0.640513i −0.413762 + 0.0675160i
\(91\) 5.17455 + 1.62137i 0.542440 + 0.169966i
\(92\) −10.2689 10.5415i −1.07061 1.09903i
\(93\) 3.19143 + 8.13162i 0.330936 + 0.843210i
\(94\) −11.3878 8.85726i −1.17456 0.913557i
\(95\) 1.76921 11.7379i 0.181517 1.20428i
\(96\) 5.42842 1.59130i 0.554036 0.162411i
\(97\) 5.11450i 0.519299i −0.965703 0.259650i \(-0.916393\pi\)
0.965703 0.259650i \(-0.0836070\pi\)
\(98\) 9.87417 + 0.707623i 0.997442 + 0.0714807i
\(99\) 0.251534i 0.0252801i
\(100\) 3.51597 4.63563i 0.351597 0.463563i
\(101\) −0.769953 + 5.10830i −0.0766131 + 0.508295i 0.917306 + 0.398183i \(0.130359\pi\)
−0.993919 + 0.110112i \(0.964879\pi\)
\(102\) 0.853408 1.09723i 0.0845000 0.108642i
\(103\) 0.177639 + 0.452617i 0.0175033 + 0.0445976i 0.939358 0.342937i \(-0.111422\pi\)
−0.921855 + 0.387535i \(0.873327\pi\)
\(104\) 5.79317 0.211266i 0.568067 0.0207164i
\(105\) −7.36242 + 1.07625i −0.718499 + 0.105031i
\(106\) −0.761988 4.66973i −0.0740108 0.453564i
\(107\) −5.22779 + 16.9481i −0.505389 + 1.63843i 0.239245 + 0.970959i \(0.423100\pi\)
−0.744634 + 0.667473i \(0.767376\pi\)
\(108\) 1.92491 + 0.542898i 0.185224 + 0.0522403i
\(109\) 6.35864 1.96138i 0.609047 0.187866i 0.0251365 0.999684i \(-0.491998\pi\)
0.583911 + 0.811818i \(0.301522\pi\)
\(110\) −0.689307 0.725025i −0.0657228 0.0691284i
\(111\) 1.61287 7.06643i 0.153087 0.670716i
\(112\) 10.2037 2.80809i 0.964155 0.265339i
\(113\) 4.63127 + 20.2909i 0.435673 + 1.90881i 0.416824 + 0.908987i \(0.363143\pi\)
0.0188494 + 0.999822i \(0.494000\pi\)
\(114\) −3.30243 + 4.97253i −0.309301 + 0.465720i
\(115\) 17.0979 + 11.6572i 1.59439 + 1.08704i
\(116\) 1.78477 1.28145i 0.165711 0.118980i
\(117\) 1.77497 + 1.02478i 0.164096 + 0.0947408i
\(118\) −3.96232 + 13.4224i −0.364761 + 1.23563i
\(119\) 1.63043 2.02595i 0.149461 0.185718i
\(120\) −7.03614 + 3.71018i −0.642309 + 0.338691i
\(121\) 9.03635 6.16088i 0.821486 0.560080i
\(122\) −12.4485 + 0.151265i −1.12704 + 0.0136949i
\(123\) −3.73369 4.02396i −0.336656 0.362829i
\(124\) 11.2216 + 13.3906i 1.00773 + 1.20251i
\(125\) 2.55137 5.29797i 0.228201 0.473865i
\(126\) 3.58382 + 1.07529i 0.319272 + 0.0957948i
\(127\) −0.457671 0.950364i −0.0406118 0.0843312i 0.879676 0.475574i \(-0.157760\pi\)
−0.920288 + 0.391243i \(0.872045\pi\)
\(128\) 9.28198 6.46876i 0.820419 0.571763i
\(129\) −4.72478 + 2.72785i −0.415993 + 0.240174i
\(130\) −7.92451 + 1.91031i −0.695026 + 0.167545i
\(131\) 14.2519 2.14813i 1.24520 0.187683i 0.506808 0.862059i \(-0.330825\pi\)
0.738388 + 0.674376i \(0.235587\pi\)
\(132\) 0.159919 + 0.476973i 0.0139192 + 0.0415152i
\(133\) −6.33182 + 9.19893i −0.549039 + 0.797649i
\(134\) −4.05148 + 2.83497i −0.349994 + 0.244904i
\(135\) −2.80445 0.210164i −0.241368 0.0180881i
\(136\) 0.920690 2.62320i 0.0789485 0.224938i
\(137\) 4.20050 10.7027i 0.358873 0.914394i −0.631425 0.775437i \(-0.717530\pi\)
0.990298 0.138957i \(-0.0443751\pi\)
\(138\) −5.31218 8.94809i −0.452203 0.761712i
\(139\) −1.39939 + 1.75478i −0.118694 + 0.148838i −0.837629 0.546240i \(-0.816059\pi\)
0.718934 + 0.695078i \(0.244630\pi\)
\(140\) −13.2768 + 6.72169i −1.12209 + 0.568087i
\(141\) −6.36041 7.97570i −0.535643 0.671675i
\(142\) 2.08826 5.51699i 0.175243 0.462976i
\(143\) 0.0385258 + 0.514092i 0.00322169 + 0.0429905i
\(144\) 3.99528 0.194334i 0.332940 0.0161945i
\(145\) −2.10142 + 2.26480i −0.174514 + 0.188081i
\(146\) −17.5643 15.9046i −1.45363 1.31627i
\(147\) 6.67040 + 2.12269i 0.550165 + 0.175076i
\(148\) −1.43425 14.4252i −0.117895 1.18574i
\(149\) −1.41894 1.31658i −0.116244 0.107859i 0.619909 0.784673i \(-0.287169\pi\)
−0.736153 + 0.676815i \(0.763360\pi\)
\(150\) 3.18510 2.60397i 0.260063 0.212613i
\(151\) 15.2606 1.14363i 1.24189 0.0930670i 0.562472 0.826816i \(-0.309850\pi\)
0.679420 + 0.733749i \(0.262231\pi\)
\(152\) −3.10085 + 11.5288i −0.251512 + 0.935109i
\(153\) 0.768468 0.612833i 0.0621270 0.0495446i
\(154\) 0.284331 + 0.897177i 0.0229120 + 0.0722966i
\(155\) −19.2071 15.3172i −1.54275 1.23031i
\(156\) 4.01733 + 0.814763i 0.321643 + 0.0652332i
\(157\) 16.6978 + 6.55342i 1.33263 + 0.523020i 0.921437 0.388528i \(-0.127016\pi\)
0.411195 + 0.911547i \(0.365112\pi\)
\(158\) −10.6412 4.96617i −0.846568 0.395087i
\(159\) 0.250022 3.33632i 0.0198281 0.264587i
\(160\) −10.9835 + 11.5089i −0.868321 + 0.909855i
\(161\) −9.65899 16.9030i −0.761235 1.33214i
\(162\) 1.23325 + 0.692173i 0.0968930 + 0.0543823i
\(163\) 1.41582 + 9.39336i 0.110896 + 0.735745i 0.973302 + 0.229528i \(0.0737183\pi\)
−0.862406 + 0.506217i \(0.831044\pi\)
\(164\) −9.63837 5.25668i −0.752631 0.410478i
\(165\) −0.353696 0.612619i −0.0275352 0.0476923i
\(166\) 0.842410 + 2.61767i 0.0653837 + 0.203171i
\(167\) −1.26603 + 0.609690i −0.0979686 + 0.0471792i −0.482226 0.876047i \(-0.660172\pi\)
0.384258 + 0.923226i \(0.374457\pi\)
\(168\) 7.47948 0.239468i 0.577055 0.0184754i
\(169\) −7.92791 3.81788i −0.609839 0.293683i
\(170\) −0.535629 + 3.87236i −0.0410809 + 0.296996i
\(171\) −3.09414 + 2.87094i −0.236615 + 0.219547i
\(172\) −7.22509 + 8.17660i −0.550908 + 0.623460i
\(173\) −7.91877 11.6147i −0.602053 0.883049i 0.397348 0.917668i \(-0.369931\pi\)
−0.999401 + 0.0346188i \(0.988978\pi\)
\(174\) 1.43923 0.585133i 0.109107 0.0443588i
\(175\) 6.03881 4.77202i 0.456491 0.360731i
\(176\) 0.606495 + 0.802791i 0.0457163 + 0.0605126i
\(177\) −4.94799 + 8.57018i −0.371914 + 0.644174i
\(178\) −0.344046 + 1.59654i −0.0257873 + 0.119666i
\(179\) −7.56974 + 11.1028i −0.565789 + 0.829860i −0.997390 0.0722044i \(-0.976997\pi\)
0.431601 + 0.902065i \(0.357949\pi\)
\(180\) −5.45157 + 1.38447i −0.406336 + 0.103192i
\(181\) −13.2562 + 3.02563i −0.985324 + 0.224894i −0.684681 0.728843i \(-0.740058\pi\)
−0.300643 + 0.953737i \(0.597201\pi\)
\(182\) 7.48939 + 1.64880i 0.555151 + 0.122217i
\(183\) −8.58237 1.95887i −0.634427 0.144804i
\(184\) −15.7622 13.5905i −1.16201 1.00191i
\(185\) 6.00831 + 19.4785i 0.441740 + 1.43208i
\(186\) 5.49497 + 11.0645i 0.402910 + 0.811286i
\(187\) 0.236251 + 0.0728737i 0.0172764 + 0.00532905i
\(188\) −17.1317 11.0802i −1.24946 0.808106i
\(189\) 2.28538 + 1.33305i 0.166237 + 0.0969651i
\(190\) 1.05103 16.7545i 0.0762497 1.21550i
\(191\) −15.1055 + 5.92847i −1.09300 + 0.428969i −0.842252 0.539084i \(-0.818770\pi\)
−0.250744 + 0.968054i \(0.580675\pi\)
\(192\) 7.45252 2.90860i 0.537839 0.209910i
\(193\) 6.98894 + 1.05341i 0.503075 + 0.0758263i 0.395677 0.918390i \(-0.370510\pi\)
0.107398 + 0.994216i \(0.465748\pi\)
\(194\) −0.628121 7.20567i −0.0450964 0.517337i
\(195\) −5.76399 −0.412768
\(196\) 13.9983 0.215715i 0.999881 0.0154082i
\(197\) 2.98183 0.212446 0.106223 0.994342i \(-0.466124\pi\)
0.106223 + 0.994342i \(0.466124\pi\)
\(198\) 0.0308913 + 0.354379i 0.00219535 + 0.0251846i
\(199\) 20.6088 + 3.10628i 1.46092 + 0.220198i 0.830918 0.556395i \(-0.187816\pi\)
0.630002 + 0.776593i \(0.283054\pi\)
\(200\) 4.38423 6.96281i 0.310012 0.492345i
\(201\) −3.25483 + 1.27743i −0.229578 + 0.0901028i
\(202\) −0.457405 + 7.29150i −0.0321829 + 0.513028i
\(203\) 2.71034 1.04985i 0.190229 0.0736848i
\(204\) 1.06759 1.65066i 0.0747462 0.115569i
\(205\) 14.7518 + 4.55034i 1.03031 + 0.317810i
\(206\) 0.305857 + 0.615862i 0.0213101 + 0.0429092i
\(207\) −2.16888 7.03134i −0.150748 0.488712i
\(208\) 8.13589 1.00912i 0.564122 0.0699696i
\(209\) −1.03508 0.236251i −0.0715981 0.0163418i
\(210\) −10.2405 + 2.42049i −0.706664 + 0.167030i
\(211\) 1.62072 0.369918i 0.111575 0.0254662i −0.166369 0.986064i \(-0.553204\pi\)
0.277944 + 0.960597i \(0.410347\pi\)
\(212\) −1.64704 6.48547i −0.113119 0.445424i
\(213\) 2.34973 3.44642i 0.161001 0.236145i
\(214\) −5.28386 + 24.5197i −0.361197 + 1.67613i
\(215\) 7.67156 13.2875i 0.523196 0.906202i
\(216\) 2.77862 + 0.528472i 0.189061 + 0.0359579i
\(217\) 9.93519 + 20.8675i 0.674445 + 1.41658i
\(218\) 8.71762 3.54425i 0.590432 0.240047i
\(219\) −9.43843 13.8436i −0.637790 0.935466i
\(220\) −1.06019 0.936812i −0.0714777 0.0631598i
\(221\) 1.47675 1.37023i 0.0993370 0.0921713i
\(222\) 1.40448 10.1538i 0.0942626 0.681476i
\(223\) −23.8276 11.4748i −1.59562 0.768409i −0.596210 0.802829i \(-0.703327\pi\)
−0.999407 + 0.0344198i \(0.989042\pi\)
\(224\) 14.0308 5.20936i 0.937470 0.348065i
\(225\) 2.62100 1.26220i 0.174733 0.0841470i
\(226\) 9.01683 + 28.0185i 0.599790 + 1.86376i
\(227\) −1.14002 1.97457i −0.0756657 0.131057i 0.825710 0.564095i \(-0.190775\pi\)
−0.901376 + 0.433038i \(0.857442\pi\)
\(228\) −4.04201 + 7.41123i −0.267689 + 0.490821i
\(229\) −1.90513 12.6397i −0.125894 0.835255i −0.959258 0.282531i \(-0.908826\pi\)
0.833364 0.552725i \(-0.186412\pi\)
\(230\) 25.5204 + 14.3236i 1.68276 + 0.944471i
\(231\) 0.0467814 + 0.663850i 0.00307799 + 0.0436781i
\(232\) 2.35713 2.02459i 0.154753 0.132921i
\(233\) −0.568040 + 7.57997i −0.0372135 + 0.496580i 0.947192 + 0.320667i \(0.103907\pi\)
−0.984406 + 0.175913i \(0.943712\pi\)
\(234\) 2.62656 + 1.22579i 0.171703 + 0.0801327i
\(235\) 26.7060 + 10.4813i 1.74211 + 0.683728i
\(236\) −3.93396 + 19.3971i −0.256079 + 1.26264i
\(237\) −6.49198 5.17718i −0.421699 0.336294i
\(238\) 2.04825 3.05453i 0.132768 0.197996i
\(239\) 14.2097 11.3319i 0.919150 0.732998i −0.0448235 0.998995i \(-0.514273\pi\)
0.963974 + 0.265997i \(0.0857011\pi\)
\(240\) −9.45736 + 6.09128i −0.610470 + 0.393191i
\(241\) 28.9590 2.17017i 1.86541 0.139793i 0.906266 0.422708i \(-0.138920\pi\)
0.959145 + 0.282914i \(0.0913012\pi\)
\(242\) 11.9744 9.78965i 0.769745 0.629303i
\(243\) 0.733052 + 0.680173i 0.0470253 + 0.0436331i
\(244\) −17.5198 + 1.74194i −1.12159 + 0.111516i
\(245\) −19.2308 + 4.20974i −1.22861 + 0.268951i
\(246\) −5.75448 5.21070i −0.366892 0.332222i
\(247\) −5.88417 + 6.34162i −0.374401 + 0.403508i
\(248\) 17.4544 + 17.4875i 1.10835 + 1.11046i
\(249\) 0.145310 + 1.93902i 0.00920864 + 0.122881i
\(250\) 2.94389 7.77749i 0.186188 0.491892i
\(251\) 13.7983 + 17.3025i 0.870941 + 1.09213i 0.995002 + 0.0998505i \(0.0318365\pi\)
−0.124062 + 0.992274i \(0.539592\pi\)
\(252\) 5.18119 + 1.07482i 0.326385 + 0.0677070i
\(253\) 1.15399 1.44705i 0.0725505 0.0909754i
\(254\) −0.761516 1.28273i −0.0477817 0.0804858i
\(255\) −1.00989 + 2.57316i −0.0632418 + 0.161137i
\(256\) 12.2827 10.2536i 0.767667 0.640849i
\(257\) 8.59381 + 0.644017i 0.536067 + 0.0401727i 0.340014 0.940421i \(-0.389568\pi\)
0.196054 + 0.980593i \(0.437187\pi\)
\(258\) −6.32159 + 4.42345i −0.393565 + 0.275392i
\(259\) 2.94244 18.9497i 0.182834 1.17748i
\(260\) −10.9300 + 3.66460i −0.677850 + 0.227269i
\(261\) 1.08631 0.163735i 0.0672408 0.0101349i
\(262\) 19.8153 4.77674i 1.22419 0.295108i
\(263\) 14.5926 8.42507i 0.899821 0.519512i 0.0226790 0.999743i \(-0.492780\pi\)
0.877142 + 0.480231i \(0.159447\pi\)
\(264\) 0.283883 + 0.652353i 0.0174718 + 0.0401496i
\(265\) 4.08244 + 8.47727i 0.250782 + 0.520755i
\(266\) −7.79098 + 13.7377i −0.477696 + 0.842314i
\(267\) −0.501067 + 1.04048i −0.0306648 + 0.0636761i
\(268\) −5.35984 + 4.49167i −0.327405 + 0.274373i
\(269\) 0.362368 + 0.390540i 0.0220940 + 0.0238116i 0.744002 0.668177i \(-0.232925\pi\)
−0.721908 + 0.691989i \(0.756735\pi\)
\(270\) −3.97691 + 0.0483245i −0.242027 + 0.00294093i
\(271\) −5.52671 + 3.76805i −0.335724 + 0.228893i −0.719434 0.694561i \(-0.755599\pi\)
0.383710 + 0.923454i \(0.374646\pi\)
\(272\) 0.974974 3.80882i 0.0591165 0.230944i
\(273\) 4.87510 + 2.37449i 0.295055 + 0.143710i
\(274\) 4.60355 15.5946i 0.278111 0.942105i
\(275\) 0.633700 + 0.365867i 0.0382135 + 0.0220626i
\(276\) −8.58311 11.9543i −0.516642 0.719565i
\(277\) 0.695470 + 0.474163i 0.0417867 + 0.0284897i 0.584033 0.811730i \(-0.301474\pi\)
−0.542247 + 0.840219i \(0.682426\pi\)
\(278\) −1.75605 + 2.64411i −0.105321 + 0.158583i
\(279\) 1.94383 + 8.51646i 0.116374 + 0.509867i
\(280\) −17.8798 + 11.1005i −1.06852 + 0.663384i
\(281\) −5.37583 + 23.5530i −0.320695 + 1.40506i 0.515625 + 0.856814i \(0.327560\pi\)
−0.836320 + 0.548242i \(0.815297\pi\)
\(282\) −9.94050 10.4556i −0.591948 0.622622i
\(283\) −26.2017 + 8.08216i −1.55753 + 0.480434i −0.949576 0.313538i \(-0.898486\pi\)
−0.607954 + 0.793972i \(0.708010\pi\)
\(284\) 2.26454 8.02920i 0.134376 0.476445i
\(285\) 3.49889 11.3431i 0.207256 0.671908i
\(286\) 0.117414 + 0.719557i 0.00694286 + 0.0425483i
\(287\) −10.6024 9.92566i −0.625839 0.585893i
\(288\) 5.60496 0.764458i 0.330276 0.0450461i
\(289\) 5.85784 + 14.9255i 0.344579 + 0.877972i
\(290\) −2.68249 + 3.44888i −0.157521 + 0.202525i
\(291\) 0.762277 5.05738i 0.0446855 0.296469i
\(292\) −26.6991 20.2504i −1.56245 1.18506i
\(293\) 27.7502i 1.62118i 0.585611 + 0.810592i \(0.300855\pi\)
−0.585611 + 0.810592i \(0.699145\pi\)
\(294\) 9.65842 + 2.17139i 0.563290 + 0.126638i
\(295\) 27.8306i 1.62036i
\(296\) −3.79226 20.1471i −0.220420 1.17103i
\(297\) −0.0374892 + 0.248725i −0.00217534 + 0.0144325i
\(298\) −2.16080 1.68063i −0.125172 0.0973565i
\(299\) −5.50976 14.0386i −0.318638 0.811876i
\(300\) 4.16760 4.05983i 0.240617 0.234394i
\(301\) −11.9623 + 8.07810i −0.689497 + 0.465614i
\(302\) 21.3598 3.48540i 1.22912 0.200563i
\(303\) −1.52271 + 4.93649i −0.0874772 + 0.283594i
\(304\) −2.95282 + 16.6234i −0.169356 + 0.953418i
\(305\) 23.6571 7.29725i 1.35460 0.417839i
\(306\) 1.00741 0.957779i 0.0575898 0.0547526i
\(307\) 4.55889 19.9738i 0.260189 1.13996i −0.660857 0.750512i \(-0.729807\pi\)
0.921046 0.389453i \(-0.127336\pi\)
\(308\) 0.510769 + 1.22909i 0.0291038 + 0.0700338i
\(309\) 0.108196 + 0.474037i 0.00615505 + 0.0269670i
\(310\) −28.9415 19.2211i −1.64377 1.09168i
\(311\) 1.09858 + 0.748996i 0.0622945 + 0.0424717i 0.594067 0.804416i \(-0.297521\pi\)
−0.531772 + 0.846887i \(0.678474\pi\)
\(312\) 5.75996 + 0.654521i 0.326093 + 0.0370550i
\(313\) 15.1174 + 8.72804i 0.854487 + 0.493338i 0.862162 0.506632i \(-0.169110\pi\)
−0.00767546 + 0.999971i \(0.502443\pi\)
\(314\) 24.3299 + 7.18223i 1.37302 + 0.405317i
\(315\) −7.44060 0.0330831i −0.419230 0.00186402i
\(316\) −15.6020 5.68983i −0.877680 0.320078i
\(317\) 24.8285 16.9278i 1.39451 0.950760i 0.395024 0.918671i \(-0.370736\pi\)
0.999485 0.0320893i \(-0.0102161\pi\)
\(318\) −0.0574893 4.73114i −0.00322384 0.265309i
\(319\) 0.187952 + 0.202564i 0.0105233 + 0.0113414i
\(320\) −14.0609 + 17.5634i −0.786028 + 0.981823i
\(321\) −7.69538 + 15.9796i −0.429514 + 0.891895i
\(322\) −15.6841 22.6279i −0.874043 1.26100i
\(323\) 1.80008 + 3.73790i 0.100159 + 0.207982i
\(324\) 1.82249 + 0.823726i 0.101250 + 0.0457626i
\(325\) 5.16353 2.98117i 0.286421 0.165365i
\(326\) 3.14832 + 13.0602i 0.174370 + 0.723335i
\(327\) 6.57995 0.991768i 0.363872 0.0548449i
\(328\) −14.2248 6.22228i −0.785434 0.343568i
\(329\) −18.2698 19.8666i −1.00725 1.09528i
\(330\) −0.573548 0.819663i −0.0315728 0.0451210i
\(331\) −6.12974 0.459361i −0.336921 0.0252487i −0.0948045 0.995496i \(-0.530223\pi\)
−0.242117 + 0.970247i \(0.577842\pi\)
\(332\) 1.50833 + 3.58450i 0.0827803 + 0.196725i
\(333\) 2.64805 6.74712i 0.145112 0.369740i
\(334\) −1.70880 + 1.01446i −0.0935014 + 0.0555087i
\(335\) 6.13099 7.68802i 0.334972 0.420041i
\(336\) 10.5082 1.25595i 0.573270 0.0685175i
\(337\) −8.79303 11.0261i −0.478987 0.600631i 0.482359 0.875974i \(-0.339780\pi\)
−0.961346 + 0.275343i \(0.911209\pi\)
\(338\) −11.6383 4.40526i −0.633039 0.239615i
\(339\) 1.55534 + 20.7545i 0.0844744 + 1.12723i
\(340\) −0.279061 + 5.52143i −0.0151342 + 0.299442i
\(341\) −1.49452 + 1.61071i −0.0809329 + 0.0872249i
\(342\) −4.00666 + 4.42479i −0.216655 + 0.239265i
\(343\) 17.9993 + 4.36162i 0.971873 + 0.235505i
\(344\) −9.17504 + 12.4071i −0.494685 + 0.668946i
\(345\) 15.1695 + 14.0753i 0.816700 + 0.757787i
\(346\) −12.5829 15.3911i −0.676463 0.827430i
\(347\) 32.9469 2.46903i 1.76868 0.132544i 0.849807 0.527094i \(-0.176718\pi\)
0.918875 + 0.394549i \(0.129099\pi\)
\(348\) 1.95582 1.00113i 0.104843 0.0536662i
\(349\) 13.7830 10.9916i 0.737789 0.588367i −0.180829 0.983515i \(-0.557878\pi\)
0.918618 + 0.395148i \(0.129307\pi\)
\(350\) 7.92185 7.46480i 0.423441 0.399010i
\(351\) 1.60241 + 1.27788i 0.0855302 + 0.0682081i
\(352\) 0.953065 + 1.05654i 0.0507986 + 0.0563140i
\(353\) −5.08484 1.99565i −0.270639 0.106218i 0.226141 0.974095i \(-0.427389\pi\)
−0.496780 + 0.867877i \(0.665484\pi\)
\(354\) −5.91857 + 12.6819i −0.314568 + 0.674038i
\(355\) −0.876640 + 11.6979i −0.0465272 + 0.620862i
\(356\) −0.288643 + 2.29157i −0.0152980 + 0.121453i
\(357\) 1.91417 1.76032i 0.101309 0.0931658i
\(358\) −9.30124 + 16.5720i −0.491586 + 0.875859i
\(359\) 4.19268 + 27.8166i 0.221281 + 1.46810i 0.773176 + 0.634191i \(0.218667\pi\)
−0.551895 + 0.833913i \(0.686095\pi\)
\(360\) −7.51052 + 2.62006i −0.395839 + 0.138089i
\(361\) 0.591978 + 1.02534i 0.0311568 + 0.0539651i
\(362\) −18.3047 + 5.89074i −0.962071 + 0.309611i
\(363\) 9.85365 4.74527i 0.517183 0.249062i
\(364\) 10.7541 + 1.40317i 0.563667 + 0.0735459i
\(365\) 42.4539 + 20.4447i 2.22214 + 1.07013i
\(366\) −12.3320 1.70578i −0.644605 0.0891625i
\(367\) −9.37429 + 8.69807i −0.489334 + 0.454035i −0.885836 0.463998i \(-0.846414\pi\)
0.396502 + 0.918034i \(0.370224\pi\)
\(368\) −23.8760 17.2115i −1.24462 0.897212i
\(369\) −3.09225 4.53550i −0.160976 0.236109i
\(370\) 10.8571 + 26.7047i 0.564434 + 1.38831i
\(371\) 0.0393574 8.85172i 0.00204333 0.459559i
\(372\) 9.10054 + 14.9136i 0.471841 + 0.773232i
\(373\) 5.88149 10.1870i 0.304532 0.527465i −0.672625 0.739983i \(-0.734833\pi\)
0.977157 + 0.212519i \(0.0681667\pi\)
\(374\) 0.341796 + 0.0736553i 0.0176739 + 0.00380862i
\(375\) 3.31249 4.85853i 0.171056 0.250894i
\(376\) −25.4972 13.5066i −1.31492 0.696549i
\(377\) 2.19515 0.501028i 0.113056 0.0258043i
\(378\) 3.38352 + 1.59742i 0.174030 + 0.0821626i
\(379\) 9.60613 + 2.19254i 0.493434 + 0.112623i 0.461995 0.886883i \(-0.347134\pi\)
0.0314389 + 0.999506i \(0.489991\pi\)
\(380\) −0.576880 23.7340i −0.0295933 1.21753i
\(381\) −0.310915 1.00796i −0.0159287 0.0516394i
\(382\) −20.5536 + 10.2076i −1.05161 + 0.522265i
\(383\) 5.11578 + 1.57801i 0.261404 + 0.0806325i 0.422687 0.906276i \(-0.361087\pi\)
−0.161283 + 0.986908i \(0.551563\pi\)
\(384\) 10.1424 5.01310i 0.517578 0.255824i
\(385\) −1.04741 1.55105i −0.0533811 0.0790486i
\(386\) 9.97589 + 0.625800i 0.507759 + 0.0318524i
\(387\) −5.07857 + 1.99319i −0.258158 + 0.101320i
\(388\) −1.76988 10.0747i −0.0898521 0.511467i
\(389\) −29.7891 4.48998i −1.51037 0.227651i −0.658968 0.752171i \(-0.729007\pi\)
−0.851398 + 0.524520i \(0.824245\pi\)
\(390\) −8.12072 + 0.707885i −0.411209 + 0.0358452i
\(391\) −7.23248 −0.365762
\(392\) 19.6954 2.02307i 0.994766 0.102181i
\(393\) 14.4129 0.727035
\(394\) 4.20101 0.366203i 0.211644 0.0184491i
\(395\) 23.0913 + 3.48046i 1.16185 + 0.175121i
\(396\) 0.0870437 + 0.495480i 0.00437411 + 0.0248988i
\(397\) 21.7745 8.54588i 1.09283 0.428905i 0.250639 0.968081i \(-0.419359\pi\)
0.842194 + 0.539175i \(0.181264\pi\)
\(398\) 29.4167 + 1.84534i 1.47452 + 0.0924987i
\(399\) −7.63213 + 8.15248i −0.382084 + 0.408134i
\(400\) 5.32171 10.3481i 0.266085 0.517407i
\(401\) −28.7518 8.86877i −1.43580 0.442885i −0.523365 0.852109i \(-0.675323\pi\)
−0.912434 + 0.409224i \(0.865800\pi\)
\(402\) −4.42876 + 2.19946i −0.220886 + 0.109699i
\(403\) 5.27725 + 17.1084i 0.262879 + 0.852232i
\(404\) 0.251057 + 10.3290i 0.0124905 + 0.513885i
\(405\) −2.74180 0.625798i −0.136241 0.0310961i
\(406\) 3.68959 1.81196i 0.183111 0.0899261i
\(407\) 1.77745 0.405691i 0.0881048 0.0201093i
\(408\) 1.30137 2.45668i 0.0644276 0.121624i
\(409\) 9.99659 14.6623i 0.494300 0.725004i −0.495321 0.868710i \(-0.664950\pi\)
0.989620 + 0.143706i \(0.0459019\pi\)
\(410\) 21.3423 + 4.59914i 1.05402 + 0.227136i
\(411\) 5.74875 9.95712i 0.283565 0.491148i
\(412\) 0.506548 + 0.830108i 0.0249558 + 0.0408965i
\(413\) −11.4649 + 23.5387i −0.564149 + 1.15826i
\(414\) −3.91920 9.63989i −0.192618 0.473775i
\(415\) −3.08048 4.51823i −0.151215 0.221791i
\(416\) 11.3385 2.42090i 0.555915 0.118694i
\(417\) −1.64529 + 1.52661i −0.0805704 + 0.0747584i
\(418\) −1.48731 0.205727i −0.0727468 0.0100624i
\(419\) 11.9592 + 5.75926i 0.584246 + 0.281358i 0.702567 0.711617i \(-0.252037\pi\)
−0.118321 + 0.992975i \(0.537751\pi\)
\(420\) −14.1303 + 4.66781i −0.689489 + 0.227766i
\(421\) −31.3558 + 15.1001i −1.52819 + 0.735936i −0.993995 0.109428i \(-0.965098\pi\)
−0.534191 + 0.845364i \(0.679384\pi\)
\(422\) 2.23795 0.720209i 0.108942 0.0350592i
\(423\) −5.10065 8.83459i −0.248002 0.429552i
\(424\) −3.11696 8.93491i −0.151373 0.433918i
\(425\) −0.426166 2.82742i −0.0206721 0.137150i
\(426\) 2.88720 5.14413i 0.139885 0.249234i
\(427\) −23.0150 3.57367i −1.11377 0.172942i
\(428\) −4.43297 + 35.1940i −0.214276 + 1.70117i
\(429\) −0.0385258 + 0.514092i −0.00186005 + 0.0248206i
\(430\) 9.17637 19.6626i 0.442524 0.948214i
\(431\) −7.80463 3.06309i −0.375936 0.147544i 0.169847 0.985470i \(-0.445673\pi\)
−0.545783 + 0.837926i \(0.683768\pi\)
\(432\) 3.97962 + 0.403302i 0.191469 + 0.0194039i
\(433\) −25.7535 20.5378i −1.23764 0.986982i −0.999877 0.0156573i \(-0.995016\pi\)
−0.237758 0.971324i \(-0.576413\pi\)
\(434\) 16.5602 + 28.1794i 0.794913 + 1.35266i
\(435\) −2.41550 + 1.92630i −0.115814 + 0.0923589i
\(436\) 11.8467 6.06401i 0.567355 0.290414i
\(437\) 30.9716 2.32100i 1.48157 0.111029i
\(438\) −14.9977 18.3447i −0.716617 0.876546i
\(439\) 10.6249 + 9.85843i 0.507097 + 0.470517i 0.891740 0.452548i \(-0.149485\pi\)
−0.384643 + 0.923065i \(0.625675\pi\)
\(440\) −1.60872 1.18964i −0.0766925 0.0567140i
\(441\) 6.27952 + 3.09315i 0.299025 + 0.147293i
\(442\) 1.91227 2.11183i 0.0909575 0.100450i
\(443\) 4.06224 4.37806i 0.193003 0.208008i −0.629135 0.777296i \(-0.716591\pi\)
0.822138 + 0.569288i \(0.192781\pi\)
\(444\) 0.731731 14.4778i 0.0347264 0.687088i
\(445\) −0.242706 3.23869i −0.0115054 0.153529i
\(446\) −34.9793 13.2402i −1.65632 0.626941i
\(447\) −1.20686 1.51336i −0.0570828 0.0715795i
\(448\) 19.1278 9.06246i 0.903702 0.428161i
\(449\) 11.8436 14.8513i 0.558932 0.700878i −0.419428 0.907789i \(-0.637769\pi\)
0.978360 + 0.206910i \(0.0663408\pi\)
\(450\) 3.53763 2.10017i 0.166765 0.0990031i
\(451\) 0.504446 1.28531i 0.0237534 0.0605227i
\(452\) 16.1445 + 38.3671i 0.759375 + 1.80464i
\(453\) 15.2606 + 1.14363i 0.717007 + 0.0537322i
\(454\) −1.84864 2.64191i −0.0867609 0.123991i
\(455\) −15.2124 + 1.07201i −0.713166 + 0.0502567i
\(456\) −4.78449 + 10.9379i −0.224054 + 0.512213i
\(457\) −26.3805 + 3.97622i −1.23403 + 0.186000i −0.733481 0.679710i \(-0.762106\pi\)
−0.500547 + 0.865710i \(0.666868\pi\)
\(458\) −4.23639 17.5737i −0.197953 0.821167i
\(459\) 0.851223 0.491454i 0.0397317 0.0229391i
\(460\) 37.7140 + 17.0459i 1.75843 + 0.794770i
\(461\) 4.69221 + 9.74348i 0.218538 + 0.453799i 0.981199 0.193000i \(-0.0618216\pi\)
−0.762661 + 0.646799i \(0.776107\pi\)
\(462\) 0.147438 + 0.929534i 0.00685941 + 0.0432458i
\(463\) −16.5475 + 34.3613i −0.769030 + 1.59691i 0.0328787 + 0.999459i \(0.489533\pi\)
−0.801908 + 0.597447i \(0.796182\pi\)
\(464\) 3.07225 3.14186i 0.142625 0.145857i
\(465\) −16.7097 18.0088i −0.774894 0.835137i
\(466\) 0.130613 + 10.7490i 0.00605054 + 0.497936i
\(467\) −4.14468 + 2.82580i −0.191793 + 0.130762i −0.655410 0.755274i \(-0.727504\pi\)
0.463616 + 0.886036i \(0.346552\pi\)
\(468\) 3.85102 + 1.40441i 0.178014 + 0.0649190i
\(469\) −8.35260 + 3.97674i −0.385687 + 0.183629i
\(470\) 38.9126 + 11.4871i 1.79490 + 0.529858i
\(471\) 15.5346 + 8.96890i 0.715796 + 0.413265i
\(472\) −3.16026 + 27.8111i −0.145463 + 1.28011i
\(473\) −1.13384 0.773041i −0.0521341 0.0355445i
\(474\) −9.78218 6.49669i −0.449310 0.298403i
\(475\) 2.73233 + 11.9711i 0.125368 + 0.549272i
\(476\) 2.51059 4.55499i 0.115073 0.208778i
\(477\) 0.744482 3.26179i 0.0340875 0.149347i
\(478\) 18.6280 17.7103i 0.852024 0.810049i
\(479\) −10.4056 + 3.20970i −0.475444 + 0.146655i −0.523210 0.852204i \(-0.675266\pi\)
0.0477666 + 0.998859i \(0.484790\pi\)
\(480\) −12.5761 + 9.74331i −0.574019 + 0.444719i
\(481\) 4.37874 14.1955i 0.199653 0.647260i
\(482\) 40.5329 6.61400i 1.84622 0.301259i
\(483\) −7.03185 18.1538i −0.319960 0.826026i
\(484\) 15.6681 15.2630i 0.712188 0.693771i
\(485\) 5.25491 + 13.3893i 0.238613 + 0.607976i
\(486\) 1.11631 + 0.868248i 0.0506368 + 0.0393845i
\(487\) −1.31588 + 8.73027i −0.0596280 + 0.395606i 0.939031 + 0.343833i \(0.111725\pi\)
−0.998659 + 0.0517733i \(0.983513\pi\)
\(488\) −24.4692 + 4.60579i −1.10767 + 0.208495i
\(489\) 9.49946i 0.429581i
\(490\) −26.5767 + 8.29275i −1.20061 + 0.374628i
\(491\) 23.5706i 1.06372i 0.846831 + 0.531862i \(0.178508\pi\)
−0.846831 + 0.531862i \(0.821492\pi\)
\(492\) −8.74725 6.63449i −0.394357 0.299106i
\(493\) 0.160936 1.06774i 0.00724819 0.0480886i
\(494\) −7.51121 + 9.65717i −0.337945 + 0.434497i
\(495\) −0.258439 0.658492i −0.0116160 0.0295970i
\(496\) 26.7386 + 22.4940i 1.20060 + 1.01001i
\(497\) 5.56044 9.53282i 0.249420 0.427606i
\(498\) 0.442858 + 2.71399i 0.0198449 + 0.121617i
\(499\) −8.20830 + 26.6107i −0.367454 + 1.19126i 0.563499 + 0.826117i \(0.309455\pi\)
−0.930953 + 0.365140i \(0.881021\pi\)
\(500\) 3.19240 11.3190i 0.142768 0.506202i
\(501\) −1.34276 + 0.414187i −0.0599902 + 0.0185045i
\(502\) 21.5650 + 22.6824i 0.962492 + 1.01237i
\(503\) 7.00298 30.6821i 0.312248 1.36805i −0.538568 0.842582i \(-0.681035\pi\)
0.850816 0.525464i \(-0.176108\pi\)
\(504\) 7.43163 + 0.877966i 0.331031 + 0.0391077i
\(505\) −3.23287 14.1641i −0.143861 0.630296i
\(506\) 1.44810 2.18043i 0.0643760 0.0969321i
\(507\) −7.27034 4.95683i −0.322887 0.220141i
\(508\) −1.23041 1.71368i −0.0545907 0.0760324i
\(509\) −23.9074 13.8029i −1.05968 0.611804i −0.134333 0.990936i \(-0.542889\pi\)
−0.925342 + 0.379132i \(0.876222\pi\)
\(510\) −1.10679 + 3.74927i −0.0490095 + 0.166021i
\(511\) −27.4847 34.7808i −1.21585 1.53861i
\(512\) 16.0454 15.9544i 0.709115 0.705093i
\(513\) −3.48748 + 2.37772i −0.153976 + 0.104979i
\(514\) 12.1867 0.148083i 0.537531 0.00653167i
\(515\) −0.930084 1.00239i −0.0409844 0.0441707i
\(516\) −8.36305 + 7.00843i −0.368163 + 0.308529i
\(517\) 1.11333 2.31186i 0.0489644 0.101676i
\(518\) 1.81827 27.0591i 0.0798903 1.18891i
\(519\) −6.09924 12.6652i −0.267727 0.555941i
\(520\) −14.9489 + 6.50528i −0.655553 + 0.285275i
\(521\) −7.77572 + 4.48931i −0.340660 + 0.196680i −0.660564 0.750770i \(-0.729683\pi\)
0.319904 + 0.947450i \(0.396349\pi\)
\(522\) 1.51036 0.364092i 0.0661066 0.0159359i
\(523\) −30.3733 + 4.57803i −1.32813 + 0.200183i −0.774497 0.632578i \(-0.781997\pi\)
−0.553633 + 0.832761i \(0.686759\pi\)
\(524\) 27.3306 9.16336i 1.19394 0.400303i
\(525\) 6.68260 3.81868i 0.291652 0.166661i
\(526\) 19.5245 13.6620i 0.851307 0.595691i
\(527\) 8.56215 + 0.641645i 0.372973 + 0.0279505i
\(528\) 0.480071 + 0.884218i 0.0208924 + 0.0384806i
\(529\) −11.3781 + 28.9910i −0.494700 + 1.26048i
\(530\) 6.79274 + 11.4420i 0.295058 + 0.497009i
\(531\) −6.17005 + 7.73699i −0.267757 + 0.335757i
\(532\) −9.28934 + 20.3115i −0.402744 + 0.880616i
\(533\) −7.01469 8.79615i −0.303840 0.381003i
\(534\) −0.578156 + 1.52743i −0.0250192 + 0.0660985i
\(535\) −3.72748 49.7398i −0.161153 2.15044i
\(536\) −6.99970 + 6.98644i −0.302341 + 0.301768i
\(537\) −9.13998 + 9.85056i −0.394419 + 0.425083i
\(538\) 0.558493 + 0.505717i 0.0240783 + 0.0218030i
\(539\) 0.246932 + 1.74334i 0.0106361 + 0.0750908i
\(540\) −5.59702 + 0.556494i −0.240857 + 0.0239477i
\(541\) −9.92499 9.20905i −0.426709 0.395928i 0.437372 0.899281i \(-0.355909\pi\)
−0.864081 + 0.503353i \(0.832100\pi\)
\(542\) −7.32367 + 5.98744i −0.314578 + 0.257183i
\(543\) −13.5591 + 1.01611i −0.581875 + 0.0436055i
\(544\) 0.905844 5.48588i 0.0388377 0.235205i
\(545\) −14.6311 + 11.6679i −0.626727 + 0.499798i
\(546\) 7.16000 + 2.74662i 0.306420 + 0.117545i
\(547\) −1.30326 1.03931i −0.0557233 0.0444378i 0.595232 0.803554i \(-0.297060\pi\)
−0.650955 + 0.759116i \(0.725632\pi\)
\(548\) 4.57061 22.5362i 0.195247 0.962697i
\(549\) −8.19455 3.21613i −0.349735 0.137261i
\(550\) 0.937734 + 0.437633i 0.0399851 + 0.0186608i
\(551\) −0.346523 + 4.62403i −0.0147624 + 0.196990i
\(552\) −13.5606 15.7880i −0.577178 0.671981i
\(553\) −18.0965 12.4562i −0.769543 0.529693i
\(554\) 1.03806 + 0.582623i 0.0441029 + 0.0247533i
\(555\) 3.03809 + 20.1564i 0.128960 + 0.855591i
\(556\) −2.14932 + 3.94088i −0.0911514 + 0.167131i
\(557\) −7.54057 13.0606i −0.319504 0.553397i 0.660881 0.750491i \(-0.270183\pi\)
−0.980385 + 0.197094i \(0.936850\pi\)
\(558\) 3.78452 + 11.7599i 0.160211 + 0.497835i
\(559\) −10.0744 + 4.85159i −0.426103 + 0.205200i
\(560\) −23.8270 + 17.8351i −1.00688 + 0.753670i
\(561\) 0.222751 + 0.107271i 0.00940454 + 0.00452899i
\(562\) −4.68126 + 33.8434i −0.197467 + 1.42760i
\(563\) −19.1321 + 17.7520i −0.806320 + 0.748156i −0.971228 0.238153i \(-0.923458\pi\)
0.164907 + 0.986309i \(0.447268\pi\)
\(564\) −15.2890 13.5098i −0.643781 0.568864i
\(565\) −32.9722 48.3613i −1.38715 2.03458i
\(566\) −35.9222 + 14.6046i −1.50992 + 0.613877i
\(567\) 2.06118 + 1.65878i 0.0865613 + 0.0696622i
\(568\) 2.20437 11.5902i 0.0924932 0.486314i
\(569\) 5.52461 9.56891i 0.231604 0.401150i −0.726676 0.686980i \(-0.758936\pi\)
0.958280 + 0.285830i \(0.0922693\pi\)
\(570\) 3.53642 16.4107i 0.148124 0.687368i
\(571\) 10.9415 16.0482i 0.457888 0.671598i −0.525980 0.850497i \(-0.676301\pi\)
0.983867 + 0.178899i \(0.0572536\pi\)
\(572\) 0.253792 + 0.999344i 0.0106116 + 0.0417847i
\(573\) −15.8204 + 3.61090i −0.660906 + 0.150847i
\(574\) −16.1564 12.6819i −0.674354 0.529331i
\(575\) −20.8691 4.76323i −0.870301 0.198640i
\(576\) 7.80278 1.76538i 0.325116 0.0735574i
\(577\) −4.38056 14.2014i −0.182365 0.591213i −0.999883 0.0153099i \(-0.995127\pi\)
0.817518 0.575904i \(-0.195350\pi\)
\(578\) 10.0860 + 20.3087i 0.419521 + 0.844732i
\(579\) 6.75388 + 2.08329i 0.280681 + 0.0865788i
\(580\) −3.35572 + 5.18847i −0.139339 + 0.215440i
\(581\) 0.744131 + 5.09046i 0.0308718 + 0.211188i
\(582\) 0.452845 7.21881i 0.0187710 0.299229i
\(583\) 0.783377 0.307453i 0.0324441 0.0127334i
\(584\) −40.1026 25.2512i −1.65946 1.04490i
\(585\) −5.69961 0.859078i −0.235650 0.0355185i
\(586\) 3.40805 + 39.0965i 0.140785 + 1.61506i
\(587\) 16.8725 0.696403 0.348201 0.937420i \(-0.386793\pi\)
0.348201 + 0.937420i \(0.386793\pi\)
\(588\) 13.8741 + 1.87304i 0.572160 + 0.0772428i
\(589\) −36.8716 −1.51927
\(590\) −3.41792 39.2097i −0.140714 1.61424i
\(591\) 2.94852 + 0.444418i 0.121286 + 0.0182809i
\(592\) −7.81710 27.9189i −0.321281 1.14746i
\(593\) −3.19611 + 1.25438i −0.131249 + 0.0515112i −0.430056 0.902802i \(-0.641506\pi\)
0.298808 + 0.954313i \(0.403411\pi\)
\(594\) −0.0222712 + 0.355025i −0.000913797 + 0.0145668i
\(595\) −2.18674 + 6.97892i −0.0896476 + 0.286108i
\(596\) −3.25068 2.10243i −0.133153 0.0861187i
\(597\) 19.9157 + 6.14317i 0.815094 + 0.251423i
\(598\) −9.48665 19.1020i −0.387938 0.781138i
\(599\) 11.5561 + 37.4638i 0.472168 + 1.53073i 0.808216 + 0.588886i \(0.200433\pi\)
−0.336049 + 0.941845i \(0.609091\pi\)
\(600\) 5.37302 6.23160i 0.219353 0.254404i
\(601\) −15.4216 3.51988i −0.629061 0.143579i −0.103908 0.994587i \(-0.533135\pi\)
−0.525153 + 0.851008i \(0.675992\pi\)
\(602\) −15.8613 + 12.8501i −0.646458 + 0.523731i
\(603\) −3.40887 + 0.778052i −0.138820 + 0.0316847i
\(604\) 29.6652 7.53372i 1.20706 0.306543i
\(605\) −17.3263 + 25.4130i −0.704414 + 1.03319i
\(606\) −1.53904 + 7.14188i −0.0625191 + 0.290119i
\(607\) 17.6227 30.5235i 0.715285 1.23891i −0.247565 0.968871i \(-0.579630\pi\)
0.962850 0.270038i \(-0.0870363\pi\)
\(608\) −2.11860 + 23.7829i −0.0859205 + 0.964523i
\(609\) 2.83654 0.634166i 0.114942 0.0256977i
\(610\) 32.4336 13.1862i 1.31320 0.533896i
\(611\) −11.7780 17.2751i −0.476486 0.698877i
\(612\) 1.30168 1.47311i 0.0526174 0.0595469i
\(613\) −31.8939 + 29.5932i −1.28818 + 1.19526i −0.319322 + 0.947646i \(0.603455\pi\)
−0.968860 + 0.247611i \(0.920355\pi\)
\(614\) 3.96987 28.7004i 0.160211 1.15825i
\(615\) 13.9089 + 6.69816i 0.560860 + 0.270096i
\(616\) 0.870554 + 1.66890i 0.0350756 + 0.0672418i
\(617\) 37.2697 17.9481i 1.50042 0.722564i 0.509939 0.860211i \(-0.329668\pi\)
0.990481 + 0.137647i \(0.0439538\pi\)
\(618\) 0.210651 + 0.654569i 0.00847364 + 0.0263306i
\(619\) −7.14206 12.3704i −0.287063 0.497208i 0.686044 0.727560i \(-0.259346\pi\)
−0.973107 + 0.230352i \(0.926012\pi\)
\(620\) −43.1354 23.5257i −1.73236 0.944813i
\(621\) −1.09669 7.27606i −0.0440087 0.291978i
\(622\) 1.63974 + 0.920321i 0.0657474 + 0.0369015i
\(623\) −1.12891 + 2.83922i −0.0452287 + 0.113751i
\(624\) 8.19542 + 0.214746i 0.328079 + 0.00859672i
\(625\) −2.32281 + 30.9957i −0.0929124 + 1.23983i
\(626\) 22.3704 + 10.4401i 0.894101 + 0.417270i
\(627\) −0.988310 0.387883i −0.0394693 0.0154906i
\(628\) 35.1598 + 7.13083i 1.40303 + 0.284551i
\(629\) −5.56998 4.44191i −0.222090 0.177111i
\(630\) −10.4869 + 0.867182i −0.417808 + 0.0345494i
\(631\) −8.00250 + 6.38178i −0.318575 + 0.254055i −0.769700 0.638406i \(-0.779594\pi\)
0.451125 + 0.892461i \(0.351023\pi\)
\(632\) −22.6800 6.10012i −0.902160 0.242650i
\(633\) 1.65775 0.124231i 0.0658895 0.00493774i
\(634\) 32.9013 26.8983i 1.30668 1.06827i
\(635\) 2.17459 + 2.01773i 0.0862961 + 0.0800711i
\(636\) −0.662035 6.65851i −0.0262514 0.264027i
\(637\) 13.3080 + 5.36006i 0.527283 + 0.212373i
\(638\) 0.289677 + 0.262304i 0.0114684 + 0.0103847i
\(639\) 2.83715 3.05772i 0.112236 0.120961i
\(640\) −17.6530 + 26.4714i −0.697796 + 1.04637i
\(641\) −2.90695 38.7905i −0.114818 1.53213i −0.695810 0.718225i \(-0.744955\pi\)
0.580993 0.813909i \(-0.302664\pi\)
\(642\) −8.87931 + 23.4583i −0.350438 + 0.925825i
\(643\) −16.0259 20.0959i −0.632000 0.792503i 0.357977 0.933730i \(-0.383467\pi\)
−0.989977 + 0.141227i \(0.954895\pi\)
\(644\) −24.8759 29.9536i −0.980248 1.18034i
\(645\) 9.56628 11.9957i 0.376672 0.472332i
\(646\) 2.99514 + 5.04515i 0.117842 + 0.198499i
\(647\) −0.287021 + 0.731319i −0.0112840 + 0.0287511i −0.936405 0.350922i \(-0.885868\pi\)
0.925121 + 0.379673i \(0.123963\pi\)
\(648\) 2.66882 + 0.936701i 0.104841 + 0.0367971i
\(649\) −2.48222 0.186016i −0.0974355 0.00730178i
\(650\) 6.90863 4.83422i 0.270979 0.189614i
\(651\) 6.71409 + 22.1152i 0.263146 + 0.866762i
\(652\) 6.03952 + 18.0134i 0.236526 + 0.705460i
\(653\) −19.1613 + 2.88811i −0.749841 + 0.113020i −0.512834 0.858488i \(-0.671404\pi\)
−0.237007 + 0.971508i \(0.576166\pi\)
\(654\) 9.14850 2.20537i 0.357735 0.0862367i
\(655\) −35.1031 + 20.2668i −1.37159 + 0.791888i
\(656\) −20.8051 7.01941i −0.812302 0.274062i
\(657\) −7.26973 15.0957i −0.283619 0.588941i
\(658\) −28.1796 25.7457i −1.09856 1.00367i
\(659\) −14.2543 + 29.5993i −0.555268 + 1.15303i 0.414737 + 0.909941i \(0.363874\pi\)
−0.970005 + 0.243085i \(0.921841\pi\)
\(660\) −0.908720 1.08436i −0.0353719 0.0422087i
\(661\) 15.2803 + 16.4683i 0.594335 + 0.640541i 0.956555 0.291552i \(-0.0941715\pi\)
−0.362220 + 0.932093i \(0.617981\pi\)
\(662\) −8.69243 + 0.105624i −0.337841 + 0.00410519i
\(663\) 1.66448 1.13482i 0.0646430 0.0440729i
\(664\) 2.56526 + 4.86486i 0.0995514 + 0.188793i
\(665\) 7.12465 30.5876i 0.276282 1.18614i
\(666\) 2.90214 9.83103i 0.112455 0.380945i
\(667\) −7.00061 4.04181i −0.271065 0.156499i
\(668\) −2.28289 + 1.63910i −0.0883278 + 0.0634187i
\(669\) −21.8513 14.8980i −0.844819 0.575988i
\(670\) 7.69359 11.5844i 0.297229 0.447544i
\(671\) −0.492722 2.15876i −0.0190213 0.0833379i
\(672\) 14.6505 3.06000i 0.565154 0.118042i
\(673\) −7.91792 + 34.6907i −0.305214 + 1.33723i 0.556928 + 0.830561i \(0.311980\pi\)
−0.862142 + 0.506667i \(0.830877\pi\)
\(674\) −13.7424 14.4545i −0.529337 0.556766i
\(675\) 2.77984 0.857468i 0.106996 0.0330040i
\(676\) −16.9379 4.77713i −0.651456 0.183736i
\(677\) −7.33941 + 23.7938i −0.282076 + 0.914469i 0.698042 + 0.716057i \(0.254055\pi\)
−0.980119 + 0.198413i \(0.936421\pi\)
\(678\) 4.74017 + 29.0495i 0.182045 + 1.11564i
\(679\) 1.07121 13.4892i 0.0411094 0.517669i
\(680\) 0.284935 + 7.81326i 0.0109268 + 0.299625i
\(681\) −0.832991 2.12243i −0.0319203 0.0813316i
\(682\) −1.90777 + 2.45283i −0.0730524 + 0.0939237i
\(683\) −0.840168 + 5.57415i −0.0321481 + 0.213289i −0.999137 0.0415284i \(-0.986777\pi\)
0.966989 + 0.254817i \(0.0820154\pi\)
\(684\) −5.10145 + 6.72602i −0.195059 + 0.257176i
\(685\) 32.3345i 1.23544i
\(686\) 25.8944 + 3.93442i 0.988653 + 0.150217i
\(687\) 12.7825i 0.487682i
\(688\) −11.4027 + 18.6068i −0.434724 + 0.709378i
\(689\) 1.02200 6.78055i 0.0389353 0.258319i
\(690\) 23.1005 + 17.9672i 0.879422 + 0.684001i
\(691\) −0.0832919 0.212224i −0.00316857 0.00807340i 0.929281 0.369374i \(-0.120428\pi\)
−0.932449 + 0.361301i \(0.882333\pi\)
\(692\) −19.6179 20.1387i −0.745763 0.765560i
\(693\) −0.0526828 + 0.663408i −0.00200125 + 0.0252008i
\(694\) 46.1147 7.52481i 1.75049 0.285638i
\(695\) 1.86051 6.03164i 0.0705734 0.228793i
\(696\) 2.63255 1.65066i 0.0997865 0.0625682i
\(697\) −5.15580 + 1.59035i −0.195290 + 0.0602389i
\(698\) 18.0686 17.1785i 0.683907 0.650214i
\(699\) −1.69143 + 7.41064i −0.0639758 + 0.280296i
\(700\) 10.2441 11.4898i 0.387190 0.434275i
\(701\) 2.82784 + 12.3896i 0.106806 + 0.467948i 0.999839 + 0.0179560i \(0.00571589\pi\)
−0.893033 + 0.449992i \(0.851427\pi\)
\(702\) 2.41452 + 1.60357i 0.0911304 + 0.0605229i
\(703\) 25.2778 + 17.2341i 0.953369 + 0.649996i
\(704\) 1.47250 + 1.37149i 0.0554970 + 0.0516898i
\(705\) 24.8456 + 14.3446i 0.935739 + 0.540249i
\(706\) −7.40897 2.18714i −0.278840 0.0823141i
\(707\) −3.10062 + 13.3116i −0.116611 + 0.500635i
\(708\) −6.78101 + 18.5941i −0.254846 + 0.698809i
\(709\) 31.9448 21.7796i 1.19971 0.817951i 0.212470 0.977168i \(-0.431849\pi\)
0.987244 + 0.159217i \(0.0508969\pi\)
\(710\) 0.201572 + 16.5886i 0.00756486 + 0.622557i
\(711\) −5.64785 6.08693i −0.211811 0.228278i
\(712\) −0.125228 + 3.26398i −0.00469312 + 0.122323i
\(713\) 27.8891 57.9123i 1.04445 2.16883i
\(714\) 2.48063 2.71514i 0.0928352 0.101612i
\(715\) −0.629062 1.30626i −0.0235256 0.0488513i
\(716\) −11.0690 + 24.4902i −0.413668 + 0.915240i
\(717\) 15.7399 9.08746i 0.587819 0.339377i
\(718\) 9.32315 + 38.6751i 0.347937 + 1.44334i
\(719\) 23.6389 3.56300i 0.881583 0.132877i 0.307377 0.951588i \(-0.400549\pi\)
0.574206 + 0.818711i \(0.305311\pi\)
\(720\) −10.2596 + 4.61370i −0.382352 + 0.171943i
\(721\) 0.373715 + 1.23096i 0.0139179 + 0.0458433i
\(722\) 0.959944 + 1.37187i 0.0357254 + 0.0510555i
\(723\) 28.9590 + 2.17017i 1.07700 + 0.0807097i
\(724\) −25.0654 + 10.5473i −0.931550 + 0.391988i
\(725\) 1.16758 2.97494i 0.0433628 0.110487i
\(726\) 13.2998 7.89562i 0.493600 0.293034i
\(727\) 28.7361 36.0339i 1.06576 1.33642i 0.126984 0.991905i \(-0.459470\pi\)
0.938779 0.344520i \(-0.111958\pi\)
\(728\) 15.3234 + 0.656154i 0.567924 + 0.0243187i
\(729\) 0.623490 + 0.781831i 0.0230922 + 0.0289567i
\(730\) 62.3229 + 23.5901i 2.30667 + 0.873110i
\(731\) 0.400736 + 5.34745i 0.0148218 + 0.197783i
\(732\) −17.5837 0.888707i −0.649913 0.0328475i
\(733\) −21.4821 + 23.1522i −0.793458 + 0.855144i −0.992168 0.124914i \(-0.960134\pi\)
0.198710 + 0.980058i \(0.436325\pi\)
\(734\) −12.1389 + 13.4057i −0.448056 + 0.494814i
\(735\) −19.6434 + 1.29652i −0.724559 + 0.0478230i
\(736\) −35.7520 21.3165i −1.31784 0.785738i
\(737\) −0.644717 0.598210i −0.0237485 0.0220354i
\(738\) −4.91359 6.01017i −0.180872 0.221237i
\(739\) 35.3635 2.65013i 1.30087 0.0974866i 0.593789 0.804621i \(-0.297631\pi\)
0.707080 + 0.707134i \(0.250012\pi\)
\(740\) 18.5759 + 36.2902i 0.682865 + 1.33405i
\(741\) −6.76361 + 5.39380i −0.248468 + 0.198146i
\(742\) −1.03165 12.4758i −0.0378729 0.458000i
\(743\) −21.6665 17.2785i −0.794867 0.633885i 0.139490 0.990223i \(-0.455454\pi\)
−0.934357 + 0.356338i \(0.884025\pi\)
\(744\) 14.6530 + 19.8936i 0.537207 + 0.729335i
\(745\) 5.06738 + 1.98880i 0.185654 + 0.0728640i
\(746\) 7.03517 15.0745i 0.257576 0.551918i
\(747\) −0.145310 + 1.93902i −0.00531661 + 0.0709452i
\(748\) 0.490593 + 0.0617942i 0.0179378 + 0.00225942i
\(749\) −17.3377 + 43.6047i −0.633507 + 1.59328i
\(750\) 4.07019 7.25186i 0.148622 0.264800i
\(751\) −2.32939 15.4545i −0.0850006 0.563942i −0.990276 0.139117i \(-0.955574\pi\)
0.905275 0.424825i \(-0.139664\pi\)
\(752\) −37.5810 15.8977i −1.37044 0.579729i
\(753\) 11.0654 + 19.1658i 0.403245 + 0.698440i
\(754\) 3.03115 0.975474i 0.110388 0.0355247i
\(755\) −38.7759 + 18.6735i −1.41120 + 0.679597i
\(756\) 4.96313 + 1.83503i 0.180507 + 0.0667393i
\(757\) 37.7891 + 18.1983i 1.37347 + 0.661428i 0.967596 0.252502i \(-0.0812533\pi\)
0.405873 + 0.913930i \(0.366968\pi\)
\(758\) 13.8031 + 1.90926i 0.501350 + 0.0693473i
\(759\) 1.35677 1.25890i 0.0492476 0.0456951i
\(760\) −3.72756 33.3673i −0.135213 1.21036i
\(761\) 1.99850 + 2.93127i 0.0724457 + 0.106258i 0.860752 0.509025i \(-0.169994\pi\)
−0.788306 + 0.615283i \(0.789042\pi\)
\(762\) −0.561829 1.38190i −0.0203529 0.0500611i
\(763\) 17.1814 3.84125i 0.622008 0.139062i
\(764\) −27.7038 + 16.9054i −1.00229 + 0.611616i
\(765\) −1.38212 + 2.39390i −0.0499707 + 0.0865517i
\(766\) 7.40127 + 1.59493i 0.267419 + 0.0576273i
\(767\) −11.4255 + 16.7581i −0.412550 + 0.605100i
\(768\) 13.6737 8.30843i 0.493407 0.299804i
\(769\) 21.9206 5.00323i 0.790476 0.180421i 0.191823 0.981430i \(-0.438560\pi\)
0.598653 + 0.801009i \(0.295703\pi\)
\(770\) −1.66616 2.05659i −0.0600441 0.0741143i
\(771\) 8.40184 + 1.91766i 0.302585 + 0.0690630i
\(772\) 14.1316 0.343484i 0.508607 0.0123623i
\(773\) −5.49838