Properties

Label 576.2.bm.a.13.8
Level $576$
Weight $2$
Character 576.13
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 13.8
Character \(\chi\) \(=\) 576.13
Dual form 576.2.bm.a.133.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.35449 - 0.406653i) q^{2} +(0.905946 + 1.47623i) q^{3} +(1.66927 + 1.10161i) q^{4} +(-1.35493 + 3.99150i) q^{5} +(-0.626776 - 2.36794i) q^{6} +(0.639597 - 0.833539i) q^{7} +(-1.81302 - 2.17093i) q^{8} +(-1.35852 + 2.67477i) q^{9} +O(q^{10})\) \(q+(-1.35449 - 0.406653i) q^{2} +(0.905946 + 1.47623i) q^{3} +(1.66927 + 1.10161i) q^{4} +(-1.35493 + 3.99150i) q^{5} +(-0.626776 - 2.36794i) q^{6} +(0.639597 - 0.833539i) q^{7} +(-1.81302 - 2.17093i) q^{8} +(-1.35852 + 2.67477i) q^{9} +(3.45839 - 4.85544i) q^{10} +(-6.14620 - 0.402843i) q^{11} +(-0.113972 + 3.46223i) q^{12} +(-0.436988 + 0.498289i) q^{13} +(-1.20529 + 0.868923i) q^{14} +(-7.11987 + 1.61589i) q^{15} +(1.57290 + 3.67777i) q^{16} +(3.81355 + 3.81355i) q^{17} +(2.92781 - 3.07050i) q^{18} +(0.464562 - 2.33551i) q^{19} +(-6.65882 + 5.17026i) q^{20} +(1.80994 + 0.189052i) q^{21} +(8.16112 + 3.04502i) q^{22} +(3.00197 - 2.30349i) q^{23} +(1.56230 - 4.64319i) q^{24} +(-10.1294 - 7.77260i) q^{25} +(0.794525 - 0.497223i) q^{26} +(-5.17934 + 0.417704i) q^{27} +(1.98589 - 0.686810i) q^{28} +(2.11872 - 4.29633i) q^{29} +(10.3009 + 0.706622i) q^{30} +(-1.86974 - 1.07949i) q^{31} +(-0.634890 - 5.62111i) q^{32} +(-4.97343 - 9.43817i) q^{33} +(-3.61461 - 6.71619i) q^{34} +(2.46046 + 3.68234i) q^{35} +(-5.21430 + 2.96834i) q^{36} +(0.122483 + 0.615761i) q^{37} +(-1.57899 + 2.97450i) q^{38} +(-1.13148 - 0.193673i) q^{39} +(11.1218 - 4.29521i) q^{40} +(1.80487 - 1.38493i) q^{41} +(-2.37466 - 0.992086i) q^{42} +(-0.583749 + 8.90629i) q^{43} +(-9.81586 - 7.44319i) q^{44} +(-8.83565 - 9.04668i) q^{45} +(-5.00285 + 1.89929i) q^{46} +(1.75756 - 6.55930i) q^{47} +(-4.00428 + 5.65382i) q^{48} +(1.52603 + 5.69522i) q^{49} +(10.5594 + 14.6470i) q^{50} +(-2.17481 + 9.08455i) q^{51} +(-1.27837 + 0.350386i) q^{52} +(-6.39451 + 9.57006i) q^{53} +(7.18520 + 1.54042i) q^{54} +(9.93562 - 23.9867i) q^{55} +(-2.96916 + 0.122703i) q^{56} +(3.86862 - 1.43004i) q^{57} +(-4.61689 + 4.95774i) q^{58} +(-1.56236 + 4.60256i) q^{59} +(-13.6650 - 5.14600i) q^{60} +(2.35576 + 1.16173i) q^{61} +(2.09355 + 2.22249i) q^{62} +(1.36062 + 2.84316i) q^{63} +(-1.42590 + 7.87190i) q^{64} +(-1.39683 - 2.41938i) q^{65} +(2.89838 + 14.8063i) q^{66} +(-0.182099 - 2.77829i) q^{67} +(2.16477 + 10.5669i) q^{68} +(6.12011 + 2.34476i) q^{69} +(-1.83522 - 5.98823i) q^{70} +(3.32459 + 8.02628i) q^{71} +(8.26979 - 1.90016i) q^{72} +(-3.27998 + 7.91857i) q^{73} +(0.0845005 - 0.883848i) q^{74} +(2.29743 - 21.9950i) q^{75} +(3.34831 - 3.38682i) q^{76} +(-4.26687 + 4.86544i) q^{77} +(1.45381 + 0.722446i) q^{78} +(1.64186 + 0.439934i) q^{79} +(-16.8110 + 1.29509i) q^{80} +(-5.30883 - 7.26749i) q^{81} +(-3.00786 + 1.14191i) q^{82} +(-12.6217 + 4.28448i) q^{83} +(2.81300 + 2.30943i) q^{84} +(-20.3889 + 10.0547i) q^{85} +(4.41245 - 11.8261i) q^{86} +(8.26183 - 0.764527i) q^{87} +(10.2687 + 14.0733i) q^{88} +(-13.7772 + 5.70669i) q^{89} +(8.28890 + 15.8466i) q^{90} +(0.135847 + 0.682951i) q^{91} +(7.54864 - 0.538132i) q^{92} +(-0.100298 - 3.73813i) q^{93} +(-5.04795 + 8.16976i) q^{94} +(8.69273 + 5.01875i) q^{95} +(7.72289 - 6.02967i) q^{96} +(-6.87361 + 3.96848i) q^{97} +(0.248995 - 8.33467i) q^{98} +(9.42727 - 15.8924i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

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:
<
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.35449 0.406653i −0.957766 0.287547i
\(3\) 0.905946 + 1.47623i 0.523048 + 0.852303i
\(4\) 1.66927 + 1.10161i 0.834633 + 0.550807i
\(5\) −1.35493 + 3.99150i −0.605943 + 1.78505i 0.0133735 + 0.999911i \(0.495743\pi\)
−0.619317 + 0.785141i \(0.712590\pi\)
\(6\) −0.626776 2.36794i −0.255880 0.966708i
\(7\) 0.639597 0.833539i 0.241745 0.315048i −0.656685 0.754165i \(-0.728042\pi\)
0.898430 + 0.439117i \(0.144709\pi\)
\(8\) −1.81302 2.17093i −0.641000 0.767541i
\(9\) −1.35852 + 2.67477i −0.452841 + 0.891591i
\(10\) 3.45839 4.85544i 1.09364 1.53543i
\(11\) −6.14620 0.402843i −1.85315 0.121462i −0.902298 0.431112i \(-0.858121\pi\)
−0.950850 + 0.309651i \(0.899788\pi\)
\(12\) −0.113972 + 3.46223i −0.0329009 + 0.999459i
\(13\) −0.436988 + 0.498289i −0.121199 + 0.138201i −0.809257 0.587455i \(-0.800130\pi\)
0.688058 + 0.725655i \(0.258463\pi\)
\(14\) −1.20529 + 0.868923i −0.322126 + 0.232229i
\(15\) −7.11987 + 1.61589i −1.83834 + 0.417221i
\(16\) 1.57290 + 3.67777i 0.393224 + 0.919443i
\(17\) 3.81355 + 3.81355i 0.924921 + 0.924921i 0.997372 0.0724509i \(-0.0230820\pi\)
−0.0724509 + 0.997372i \(0.523082\pi\)
\(18\) 2.92781 3.07050i 0.690091 0.723723i
\(19\) 0.464562 2.33551i 0.106578 0.535803i −0.890199 0.455573i \(-0.849435\pi\)
0.996776 0.0802300i \(-0.0255655\pi\)
\(20\) −6.65882 + 5.17026i −1.48896 + 1.15611i
\(21\) 1.80994 + 0.189052i 0.394961 + 0.0412546i
\(22\) 8.16112 + 3.04502i 1.73996 + 0.649200i
\(23\) 3.00197 2.30349i 0.625953 0.480311i −0.246412 0.969165i \(-0.579252\pi\)
0.872366 + 0.488854i \(0.162585\pi\)
\(24\) 1.56230 4.64319i 0.318903 0.947787i
\(25\) −10.1294 7.77260i −2.02589 1.55452i
\(26\) 0.794525 0.497223i 0.155819 0.0975135i
\(27\) −5.17934 + 0.417704i −0.996764 + 0.0803872i
\(28\) 1.98589 0.686810i 0.375299 0.129795i
\(29\) 2.11872 4.29633i 0.393436 0.797809i −0.606560 0.795037i \(-0.707451\pi\)
0.999996 0.00277142i \(-0.000882171\pi\)
\(30\) 10.3009 + 0.706622i 1.88067 + 0.129011i
\(31\) −1.86974 1.07949i −0.335815 0.193883i 0.322605 0.946534i \(-0.395441\pi\)
−0.658420 + 0.752651i \(0.728775\pi\)
\(32\) −0.634890 5.62111i −0.112234 0.993682i
\(33\) −4.97343 9.43817i −0.865764 1.64297i
\(34\) −3.61461 6.71619i −0.619900 1.15182i
\(35\) 2.46046 + 3.68234i 0.415893 + 0.622428i
\(36\) −5.21430 + 2.96834i −0.869050 + 0.494723i
\(37\) 0.122483 + 0.615761i 0.0201360 + 0.101231i 0.989546 0.144215i \(-0.0460657\pi\)
−0.969410 + 0.245446i \(0.921066\pi\)
\(38\) −1.57899 + 2.97450i −0.256145 + 0.482528i
\(39\) −1.13148 0.193673i −0.181182 0.0310124i
\(40\) 11.1218 4.29521i 1.75851 0.679133i
\(41\) 1.80487 1.38493i 0.281874 0.216289i −0.458142 0.888879i \(-0.651485\pi\)
0.740015 + 0.672590i \(0.234818\pi\)
\(42\) −2.37466 0.992086i −0.366417 0.153082i
\(43\) −0.583749 + 8.90629i −0.0890209 + 1.35820i 0.686618 + 0.727019i \(0.259095\pi\)
−0.775638 + 0.631178i \(0.782572\pi\)
\(44\) −9.81586 7.44319i −1.47980 1.12210i
\(45\) −8.83565 9.04668i −1.31714 1.34860i
\(46\) −5.00285 + 1.89929i −0.737629 + 0.280034i
\(47\) 1.75756 6.55930i 0.256366 0.956772i −0.710959 0.703233i \(-0.751739\pi\)
0.967325 0.253539i \(-0.0815945\pi\)
\(48\) −4.00428 + 5.65382i −0.577968 + 0.816059i
\(49\) 1.52603 + 5.69522i 0.218004 + 0.813603i
\(50\) 10.5594 + 14.6470i 1.49333 + 2.07141i
\(51\) −2.17481 + 9.08455i −0.304535 + 1.27209i
\(52\) −1.27837 + 0.350386i −0.177278 + 0.0485897i
\(53\) −6.39451 + 9.57006i −0.878354 + 1.31455i 0.0700694 + 0.997542i \(0.477678\pi\)
−0.948423 + 0.317007i \(0.897322\pi\)
\(54\) 7.18520 + 1.54042i 0.977782 + 0.209625i
\(55\) 9.93562 23.9867i 1.33972 3.23437i
\(56\) −2.96916 + 0.122703i −0.396771 + 0.0163969i
\(57\) 3.86862 1.43004i 0.512412 0.189414i
\(58\) −4.61689 + 4.95774i −0.606227 + 0.650983i
\(59\) −1.56236 + 4.60256i −0.203402 + 0.599203i −0.999986 0.00532535i \(-0.998305\pi\)
0.796584 + 0.604528i \(0.206638\pi\)
\(60\) −13.6650 5.14600i −1.76415 0.664345i
\(61\) 2.35576 + 1.16173i 0.301624 + 0.148745i 0.586803 0.809730i \(-0.300386\pi\)
−0.285179 + 0.958474i \(0.592053\pi\)
\(62\) 2.09355 + 2.22249i 0.265882 + 0.282257i
\(63\) 1.36062 + 2.84316i 0.171422 + 0.358204i
\(64\) −1.42590 + 7.87190i −0.178237 + 0.983988i
\(65\) −1.39683 2.41938i −0.173256 0.300088i
\(66\) 2.89838 + 14.8063i 0.356766 + 1.82253i
\(67\) −0.182099 2.77829i −0.0222469 0.339422i −0.994445 0.105261i \(-0.966432\pi\)
0.972198 0.234161i \(-0.0752344\pi\)
\(68\) 2.16477 + 10.5669i 0.262517 + 1.28142i
\(69\) 6.12011 + 2.34476i 0.736774 + 0.282276i
\(70\) −1.83522 5.98823i −0.219351 0.715730i
\(71\) 3.32459 + 8.02628i 0.394557 + 0.952544i 0.988934 + 0.148358i \(0.0473987\pi\)
−0.594377 + 0.804187i \(0.702601\pi\)
\(72\) 8.26979 1.90016i 0.974604 0.223936i
\(73\) −3.27998 + 7.91857i −0.383893 + 0.926799i 0.607312 + 0.794463i \(0.292248\pi\)
−0.991205 + 0.132336i \(0.957752\pi\)
\(74\) 0.0845005 0.883848i 0.00982299 0.102745i
\(75\) 2.29743 21.9950i 0.265284 2.53976i
\(76\) 3.34831 3.38682i 0.384077 0.388495i
\(77\) −4.26687 + 4.86544i −0.486255 + 0.554468i
\(78\) 1.45381 + 0.722446i 0.164612 + 0.0818009i
\(79\) 1.64186 + 0.439934i 0.184723 + 0.0494964i 0.349995 0.936752i \(-0.386183\pi\)
−0.165272 + 0.986248i \(0.552850\pi\)
\(80\) −16.8110 + 1.29509i −1.87952 + 0.144796i
\(81\) −5.30883 7.26749i −0.589870 0.807498i
\(82\) −3.00786 + 1.14191i −0.332162 + 0.126103i
\(83\) −12.6217 + 4.28448i −1.38541 + 0.470283i −0.911866 0.410488i \(-0.865358\pi\)
−0.473543 + 0.880771i \(0.657025\pi\)
\(84\) 2.81300 + 2.30943i 0.306924 + 0.251979i
\(85\) −20.3889 + 10.0547i −2.21148 + 1.09058i
\(86\) 4.41245 11.8261i 0.475807 1.27524i
\(87\) 8.26183 0.764527i 0.885761 0.0819659i
\(88\) 10.2687 + 14.0733i 1.09464 + 1.50022i
\(89\) −13.7772 + 5.70669i −1.46038 + 0.604908i −0.964641 0.263566i \(-0.915101\pi\)
−0.495735 + 0.868474i \(0.665101\pi\)
\(90\) 8.28890 + 15.8466i 0.873727 + 1.67038i
\(91\) 0.135847 + 0.682951i 0.0142407 + 0.0715927i
\(92\) 7.54864 0.538132i 0.787000 0.0561041i
\(93\) −0.100298 3.73813i −0.0104004 0.387626i
\(94\) −5.04795 + 8.16976i −0.520656 + 0.842647i
\(95\) 8.69273 + 5.01875i 0.891855 + 0.514913i
\(96\) 7.72289 6.02967i 0.788214 0.615401i
\(97\) −6.87361 + 3.96848i −0.697909 + 0.402938i −0.806568 0.591141i \(-0.798678\pi\)
0.108659 + 0.994079i \(0.465344\pi\)
\(98\) 0.248995 8.33467i 0.0251523 0.841929i
\(99\) 9.42727 15.8924i 0.947476 1.59725i
\(100\) −8.34634 24.1333i −0.834634 2.41333i
\(101\) 0.399617 0.350455i 0.0397634 0.0348716i −0.639234 0.769013i \(-0.720748\pi\)
0.678997 + 0.734141i \(0.262415\pi\)
\(102\) 6.64002 11.4205i 0.657460 1.13080i
\(103\) 2.13221 16.1958i 0.210093 1.59582i −0.483431 0.875383i \(-0.660610\pi\)
0.693524 0.720434i \(-0.256057\pi\)
\(104\) 1.87402 + 0.0452615i 0.183763 + 0.00443826i
\(105\) −3.20694 + 6.96821i −0.312965 + 0.680027i
\(106\) 12.5530 10.3622i 1.21925 1.00646i
\(107\) 0.654505 + 0.437326i 0.0632734 + 0.0422779i 0.586805 0.809729i \(-0.300386\pi\)
−0.523531 + 0.852006i \(0.675386\pi\)
\(108\) −9.10584 5.00837i −0.876210 0.481930i
\(109\) −2.63117 + 13.2278i −0.252020 + 1.26699i 0.622737 + 0.782431i \(0.286021\pi\)
−0.874757 + 0.484561i \(0.838979\pi\)
\(110\) −23.2119 + 28.4493i −2.21317 + 2.71254i
\(111\) −0.798044 + 0.738659i −0.0757470 + 0.0701104i
\(112\) 4.07158 + 1.04122i 0.384729 + 0.0983860i
\(113\) −1.09245 4.07707i −0.102769 0.383539i 0.895314 0.445436i \(-0.146951\pi\)
−0.998082 + 0.0618977i \(0.980285\pi\)
\(114\) −5.82153 + 0.363787i −0.545236 + 0.0340718i
\(115\) 5.12692 + 15.1034i 0.478088 + 1.40840i
\(116\) 8.26960 4.83771i 0.767813 0.449171i
\(117\) −0.739152 1.84578i −0.0683347 0.170643i
\(118\) 3.98784 5.59877i 0.367111 0.515408i
\(119\) 5.61787 0.739607i 0.514990 0.0677997i
\(120\) 16.4165 + 12.5271i 1.49861 + 1.14356i
\(121\) 26.7076 + 3.51612i 2.42796 + 0.319647i
\(122\) −2.71842 2.53153i −0.246114 0.229194i
\(123\) 3.67959 + 1.40974i 0.331777 + 0.127112i
\(124\) −1.93190 3.86169i −0.173490 0.346790i
\(125\) 27.2249 18.1911i 2.43507 1.62706i
\(126\) −0.686761 4.40432i −0.0611815 0.392368i
\(127\) 2.24205 0.198949 0.0994747 0.995040i \(-0.468284\pi\)
0.0994747 + 0.995040i \(0.468284\pi\)
\(128\) 5.13249 10.0825i 0.453652 0.891179i
\(129\) −13.6766 + 7.20687i −1.20416 + 0.634529i
\(130\) 0.908139 + 3.84505i 0.0796490 + 0.337233i
\(131\) 0.193925 + 2.95872i 0.0169433 + 0.258504i 0.997924 + 0.0644001i \(0.0205134\pi\)
−0.980981 + 0.194104i \(0.937820\pi\)
\(132\) 2.09523 21.2336i 0.182366 1.84815i
\(133\) −1.64961 1.88102i −0.143039 0.163105i
\(134\) −0.883151 + 3.83721i −0.0762926 + 0.331484i
\(135\) 5.35038 21.2393i 0.460487 1.82798i
\(136\) 1.36491 15.1930i 0.117040 1.30279i
\(137\) 2.04361 0.269046i 0.174597 0.0229862i −0.0427206 0.999087i \(-0.513603\pi\)
0.217318 + 0.976101i \(0.430269\pi\)
\(138\) −7.33610 5.66471i −0.624490 0.482212i
\(139\) 8.87625 + 17.9993i 0.752874 + 1.52668i 0.847282 + 0.531144i \(0.178238\pi\)
−0.0944076 + 0.995534i \(0.530096\pi\)
\(140\) 0.0506496 + 8.85727i 0.00428068 + 0.748576i
\(141\) 11.2753 3.34781i 0.949552 0.281936i
\(142\) −1.23920 12.2234i −0.103992 1.02577i
\(143\) 2.88655 2.88655i 0.241385 0.241385i
\(144\) −11.9740 0.789194i −0.997835 0.0657661i
\(145\) 14.2781 + 14.2781i 1.18573 + 1.18573i
\(146\) 7.66280 9.39178i 0.634178 0.777269i
\(147\) −7.02497 + 7.41234i −0.579410 + 0.611360i
\(148\) −0.473875 + 1.16280i −0.0389523 + 0.0955814i
\(149\) 11.5072 5.67471i 0.942705 0.464891i 0.0950700 0.995471i \(-0.469692\pi\)
0.847635 + 0.530580i \(0.178026\pi\)
\(150\) −12.0562 + 28.8576i −0.984382 + 2.35621i
\(151\) −0.311006 2.36232i −0.0253093 0.192243i 0.974120 0.226033i \(-0.0725757\pi\)
−0.999429 + 0.0337897i \(0.989242\pi\)
\(152\) −5.91250 + 3.22580i −0.479567 + 0.261647i
\(153\) −15.3812 + 5.01958i −1.24349 + 0.405809i
\(154\) 7.75797 4.85503i 0.625155 0.391229i
\(155\) 6.84216 6.00041i 0.549575 0.481965i
\(156\) −1.67539 1.56974i −0.134138 0.125680i
\(157\) −14.4095 + 0.944447i −1.15000 + 0.0753750i −0.628453 0.777847i \(-0.716312\pi\)
−0.521547 + 0.853222i \(0.674645\pi\)
\(158\) −2.04497 1.26355i −0.162689 0.100523i
\(159\) −19.9207 0.769824i −1.57982 0.0610510i
\(160\) 23.2969 + 5.08206i 1.84178 + 0.401772i
\(161\) 3.97556i 0.313318i
\(162\) 4.23538 + 12.0026i 0.332763 + 0.943010i
\(163\) 1.23977 + 1.85545i 0.0971067 + 0.145330i 0.876842 0.480779i \(-0.159646\pi\)
−0.779735 + 0.626110i \(0.784646\pi\)
\(164\) 4.53846 0.323541i 0.354394 0.0252643i
\(165\) 44.4111 7.06338i 3.45740 0.549883i
\(166\) 18.8382 0.670623i 1.46213 0.0520504i
\(167\) 1.44313 10.9617i 0.111673 0.848241i −0.840313 0.542101i \(-0.817629\pi\)
0.951986 0.306140i \(-0.0990376\pi\)
\(168\) −2.87104 4.27201i −0.221505 0.329593i
\(169\) 1.63951 + 12.4533i 0.126116 + 0.957945i
\(170\) 31.7052 5.32771i 2.43168 0.408617i
\(171\) 5.61584 + 4.41544i 0.429454 + 0.337657i
\(172\) −10.7857 + 14.2239i −0.822403 + 1.08456i
\(173\) −0.0743614 + 0.0252423i −0.00565360 + 0.00191914i −0.324265 0.945966i \(-0.605117\pi\)
0.318611 + 0.947885i \(0.396784\pi\)
\(174\) −11.5014 2.32416i −0.871921 0.176194i
\(175\) −12.9575 + 3.47196i −0.979497 + 0.262455i
\(176\) −8.18577 23.2379i −0.617026 1.75163i
\(177\) −8.20986 + 1.86327i −0.617091 + 0.140052i
\(178\) 20.9816 2.12710i 1.57264 0.159433i
\(179\) 13.2109 + 2.62781i 0.987427 + 0.196411i 0.662284 0.749253i \(-0.269587\pi\)
0.325143 + 0.945665i \(0.394587\pi\)
\(180\) −4.78311 24.8348i −0.356512 1.85107i
\(181\) 2.64993 3.96590i 0.196968 0.294783i −0.719818 0.694163i \(-0.755775\pi\)
0.916785 + 0.399380i \(0.130775\pi\)
\(182\) 0.0937209 0.980290i 0.00694706 0.0726639i
\(183\) 0.419205 + 4.53011i 0.0309885 + 0.334876i
\(184\) −10.4434 2.34079i −0.769895 0.172565i
\(185\) −2.62376 0.345425i −0.192903 0.0253962i
\(186\) −1.38427 + 5.10403i −0.101500 + 0.374246i
\(187\) −21.9026 24.9751i −1.60167 1.82636i
\(188\) 10.1596 9.01306i 0.740968 0.657345i
\(189\) −2.96451 + 4.58434i −0.215637 + 0.333462i
\(190\) −9.73329 10.3328i −0.706127 0.749617i
\(191\) 9.49234 + 16.4412i 0.686842 + 1.18964i 0.972854 + 0.231419i \(0.0743368\pi\)
−0.286012 + 0.958226i \(0.592330\pi\)
\(192\) −12.9125 + 5.02656i −0.931882 + 0.362761i
\(193\) −10.3238 + 17.8813i −0.743120 + 1.28712i 0.207947 + 0.978140i \(0.433322\pi\)
−0.951068 + 0.308982i \(0.900012\pi\)
\(194\) 10.9240 2.58007i 0.784297 0.185238i
\(195\) 2.30612 4.25388i 0.165145 0.304627i
\(196\) −3.72658 + 11.1879i −0.266184 + 0.799138i
\(197\) 15.2135 3.02615i 1.08392 0.215604i 0.379358 0.925250i \(-0.376145\pi\)
0.704559 + 0.709646i \(0.251145\pi\)
\(198\) −19.2318 + 17.6924i −1.36675 + 1.25735i
\(199\) 0.105795 + 0.255412i 0.00749960 + 0.0181056i 0.927585 0.373612i \(-0.121881\pi\)
−0.920085 + 0.391718i \(0.871881\pi\)
\(200\) 1.49113 + 36.0822i 0.105439 + 2.55140i
\(201\) 3.93643 2.78580i 0.277654 0.196495i
\(202\) −0.683790 + 0.312181i −0.0481113 + 0.0219650i
\(203\) −2.22604 4.51395i −0.156237 0.316817i
\(204\) −13.6380 + 12.7687i −0.954851 + 0.893990i
\(205\) 3.08245 + 9.08062i 0.215288 + 0.634218i
\(206\) −9.47412 + 21.0699i −0.660093 + 1.46801i
\(207\) 2.08307 + 11.1589i 0.144784 + 0.775599i
\(208\) −2.51993 0.823383i −0.174726 0.0570914i
\(209\) −3.79613 + 14.1674i −0.262584 + 0.979977i
\(210\) 7.17740 8.13423i 0.495288 0.561315i
\(211\) −0.0761671 0.0667967i −0.00524356 0.00459848i 0.656720 0.754134i \(-0.271943\pi\)
−0.661964 + 0.749536i \(0.730277\pi\)
\(212\) −21.2166 + 8.93070i −1.45717 + 0.613363i
\(213\) −8.83675 + 12.1793i −0.605484 + 0.834508i
\(214\) −0.708678 0.858509i −0.0484442 0.0586865i
\(215\) −34.7585 14.3974i −2.37051 0.981897i
\(216\) 10.2971 + 10.4867i 0.700626 + 0.713528i
\(217\) −2.09568 + 0.868058i −0.142264 + 0.0589276i
\(218\) 8.94301 16.8469i 0.605697 1.14101i
\(219\) −14.6611 + 2.33179i −0.990708 + 0.157568i
\(220\) 43.0093 29.0950i 2.89968 1.96158i
\(221\) −3.56672 + 0.233775i −0.239924 + 0.0157254i
\(222\) 1.38132 0.675976i 0.0927080 0.0453685i
\(223\) 8.62308 4.97854i 0.577444 0.333388i −0.182673 0.983174i \(-0.558475\pi\)
0.760117 + 0.649786i \(0.225142\pi\)
\(224\) −5.09149 3.06604i −0.340189 0.204858i
\(225\) 34.5510 16.5347i 2.30340 1.10231i
\(226\) −0.178249 + 5.96658i −0.0118570 + 0.396891i
\(227\) 6.90161 13.9951i 0.458076 0.928886i −0.538212 0.842809i \(-0.680900\pi\)
0.996288 0.0860771i \(-0.0274331\pi\)
\(228\) 8.03312 + 1.87460i 0.532006 + 0.124148i
\(229\) 6.25396 + 2.12293i 0.413274 + 0.140287i 0.520330 0.853966i \(-0.325809\pi\)
−0.107056 + 0.994253i \(0.534142\pi\)
\(230\) −0.802484 22.5422i −0.0529143 1.48639i
\(231\) −11.0481 1.89107i −0.726910 0.124424i
\(232\) −13.1683 + 3.18976i −0.864543 + 0.209418i
\(233\) −5.41169 2.24160i −0.354532 0.146852i 0.198307 0.980140i \(-0.436456\pi\)
−0.552839 + 0.833288i \(0.686456\pi\)
\(234\) 0.250578 + 2.80066i 0.0163808 + 0.183085i
\(235\) 23.8000 + 15.9027i 1.55254 + 1.03738i
\(236\) −7.67824 + 5.96178i −0.499811 + 0.388079i
\(237\) 0.837988 + 2.82232i 0.0544332 + 0.183329i
\(238\) −7.91010 1.28274i −0.512735 0.0831477i
\(239\) 3.44925 0.924224i 0.223113 0.0597831i −0.145530 0.989354i \(-0.546489\pi\)
0.368644 + 0.929571i \(0.379822\pi\)
\(240\) −17.1417 23.6436i −1.10649 1.52619i
\(241\) 15.6773 + 4.20072i 1.00986 + 0.270592i 0.725572 0.688146i \(-0.241575\pi\)
0.284291 + 0.958738i \(0.408242\pi\)
\(242\) −34.7452 15.6233i −2.23351 1.00430i
\(243\) 5.91899 14.4210i 0.379703 0.925108i
\(244\) 2.65261 + 4.53438i 0.169816 + 0.290284i
\(245\) −24.8001 1.62549i −1.58442 0.103849i
\(246\) −4.41068 3.40579i −0.281215 0.217145i
\(247\) 0.960752 + 1.25208i 0.0611312 + 0.0796677i
\(248\) 1.04637 + 6.01622i 0.0664445 + 0.382030i
\(249\) −17.7594 14.7510i −1.12546 0.934808i
\(250\) −44.2733 + 13.5685i −2.80009 + 0.858148i
\(251\) 9.10700 1.81149i 0.574828 0.114340i 0.100889 0.994898i \(-0.467831\pi\)
0.473940 + 0.880557i \(0.342831\pi\)
\(252\) −0.860824 + 6.24487i −0.0542268 + 0.393390i
\(253\) −19.3786 + 12.9484i −1.21832 + 0.814058i
\(254\) −3.03682 0.911736i −0.190547 0.0572074i
\(255\) −33.3142 20.9897i −2.08622 1.31443i
\(256\) −11.0520 + 11.5695i −0.690749 + 0.723094i
\(257\) 5.36066 9.28493i 0.334389 0.579178i −0.648978 0.760807i \(-0.724803\pi\)
0.983367 + 0.181628i \(0.0581368\pi\)
\(258\) 21.4555 4.19997i 1.33576 0.261479i
\(259\) 0.591600 + 0.291745i 0.0367603 + 0.0181282i
\(260\) 0.333541 5.57736i 0.0206853 0.345893i
\(261\) 8.61339 + 11.5038i 0.533155 + 0.712065i
\(262\) 0.940505 4.08640i 0.0581046 0.252459i
\(263\) −10.3131 + 13.4403i −0.635934 + 0.828766i −0.994500 0.104739i \(-0.966599\pi\)
0.358566 + 0.933505i \(0.383266\pi\)
\(264\) −11.4727 + 27.9086i −0.706095 + 1.71766i
\(265\) −29.5348 38.4904i −1.81431 2.36445i
\(266\) 1.46945 + 3.21863i 0.0900976 + 0.197347i
\(267\) −20.9058 15.1683i −1.27941 0.928288i
\(268\) 2.75663 4.83831i 0.168388 0.295547i
\(269\) −27.5667 5.48337i −1.68077 0.334327i −0.739805 0.672821i \(-0.765082\pi\)
−0.940968 + 0.338494i \(0.890082\pi\)
\(270\) −15.8840 + 26.5925i −0.966671 + 1.61837i
\(271\) −3.19159 + 3.19159i −0.193876 + 0.193876i −0.797368 0.603493i \(-0.793775\pi\)
0.603493 + 0.797368i \(0.293775\pi\)
\(272\) −8.02703 + 20.0237i −0.486710 + 1.21411i
\(273\) −0.885123 + 0.819259i −0.0535701 + 0.0495838i
\(274\) −2.87745 0.466621i −0.173833 0.0281896i
\(275\) 59.1264 + 51.8525i 3.56546 + 3.12682i
\(276\) 7.63307 + 10.6560i 0.459457 + 0.641417i
\(277\) 2.05746 31.3908i 0.123621 1.88609i −0.264363 0.964423i \(-0.585162\pi\)
0.387984 0.921666i \(-0.373172\pi\)
\(278\) −4.70330 27.9893i −0.282085 1.67869i
\(279\) 5.42748 3.53461i 0.324935 0.211611i
\(280\) 3.53324 12.0176i 0.211151 0.718192i
\(281\) −3.38488 2.59731i −0.201925 0.154942i 0.502849 0.864374i \(-0.332285\pi\)
−0.704774 + 0.709432i \(0.748952\pi\)
\(282\) −16.6336 0.0505843i −0.990519 0.00301225i
\(283\) 1.43822 + 0.488211i 0.0854935 + 0.0290211i 0.363859 0.931454i \(-0.381459\pi\)
−0.278365 + 0.960475i \(0.589792\pi\)
\(284\) −3.29222 + 17.0604i −0.195358 + 1.01235i
\(285\) 0.466303 + 17.3792i 0.0276214 + 1.02946i
\(286\) −5.08361 + 2.73596i −0.300600 + 0.161781i
\(287\) 2.39023i 0.141091i
\(288\) 15.8977 + 5.93823i 0.936782 + 0.349913i
\(289\) 12.0863i 0.710958i
\(290\) −13.5332 25.1457i −0.794699 1.47661i
\(291\) −12.0855 6.55181i −0.708465 0.384074i
\(292\) −14.1984 + 9.60493i −0.830896 + 0.562086i
\(293\) 15.0123 + 5.09598i 0.877026 + 0.297710i 0.723409 0.690420i \(-0.242574\pi\)
0.153617 + 0.988130i \(0.450908\pi\)
\(294\) 12.5295 7.18318i 0.730734 0.418932i
\(295\) −16.2542 12.4723i −0.946358 0.726166i
\(296\) 1.11471 1.38229i 0.0647913 0.0803440i
\(297\) 32.0015 0.480832i 1.85692 0.0279007i
\(298\) −17.8940 + 3.00689i −1.03657 + 0.174184i
\(299\) −0.164019 + 2.50245i −0.00948546 + 0.144720i
\(300\) 28.0650 34.1846i 1.62033 1.97365i
\(301\) 7.05037 + 6.18301i 0.406377 + 0.356383i
\(302\) −0.539394 + 3.32621i −0.0310386 + 0.191402i
\(303\) 0.879385 + 0.272435i 0.0505193 + 0.0156510i
\(304\) 9.32018 1.96497i 0.534549 0.112699i
\(305\) −7.82894 + 7.82894i −0.448284 + 0.448284i
\(306\) 22.8748 0.544148i 1.30767 0.0311069i
\(307\) −19.6748 3.91355i −1.12290 0.223358i −0.401486 0.915865i \(-0.631506\pi\)
−0.721411 + 0.692507i \(0.756506\pi\)
\(308\) −12.4824 + 3.42126i −0.711250 + 0.194945i
\(309\) 25.8404 11.5248i 1.47001 0.655626i
\(310\) −11.7077 + 5.34509i −0.664953 + 0.303581i
\(311\) 18.9526 + 24.6996i 1.07471 + 1.40058i 0.910181 + 0.414210i \(0.135942\pi\)
0.164524 + 0.986373i \(0.447391\pi\)
\(312\) 1.63095 + 2.80750i 0.0923341 + 0.158943i
\(313\) 0.664077 0.865442i 0.0375358 0.0489177i −0.774208 0.632931i \(-0.781852\pi\)
0.811744 + 0.584013i \(0.198518\pi\)
\(314\) 19.9015 + 4.58042i 1.12311 + 0.258488i
\(315\) −13.1920 + 1.57863i −0.743285 + 0.0889456i
\(316\) 2.25606 + 2.54306i 0.126913 + 0.143058i
\(317\) 21.4422 + 10.5741i 1.20431 + 0.593902i 0.929937 0.367720i \(-0.119862\pi\)
0.274378 + 0.961622i \(0.411528\pi\)
\(318\) 26.6693 + 9.14355i 1.49554 + 0.512745i
\(319\) −14.7528 + 25.5526i −0.825998 + 1.43067i
\(320\) −29.4887 16.3573i −1.64847 0.914403i
\(321\) −0.0526490 + 1.36240i −0.00293858 + 0.0760415i
\(322\) −1.61668 + 5.38484i −0.0900938 + 0.300086i
\(323\) 10.6782 7.13495i 0.594151 0.396999i
\(324\) −0.855887 17.9796i −0.0475493 0.998869i
\(325\) 8.29945 1.65086i 0.460370 0.0915734i
\(326\) −0.924731 3.01735i −0.0512161 0.167115i
\(327\) −21.9110 + 8.09944i −1.21168 + 0.447900i
\(328\) −6.27886 1.40735i −0.346692 0.0777079i
\(329\) −4.34330 5.66030i −0.239454 0.312062i
\(330\) −63.0266 8.49267i −3.46950 0.467506i
\(331\) 11.2338 + 0.736305i 0.617468 + 0.0404710i 0.370928 0.928662i \(-0.379040\pi\)
0.246540 + 0.969133i \(0.420706\pi\)
\(332\) −25.7888 6.75226i −1.41534 0.370579i
\(333\) −1.81342 0.508913i −0.0993747 0.0278883i
\(334\) −6.41232 + 14.2606i −0.350866 + 0.780306i
\(335\) 11.3363 + 3.03754i 0.619366 + 0.165959i
\(336\) 2.15155 + 6.95389i 0.117377 + 0.379366i
\(337\) −9.34641 + 2.50436i −0.509131 + 0.136421i −0.504235 0.863567i \(-0.668225\pi\)
−0.00489662 + 0.999988i \(0.501559\pi\)
\(338\) 2.84348 17.5345i 0.154665 0.953752i
\(339\) 5.02900 5.30631i 0.273138 0.288199i
\(340\) −45.1108 5.67671i −2.44648 0.307863i
\(341\) 11.0569 + 7.38799i 0.598765 + 0.400082i
\(342\) −5.81103 8.26436i −0.314224 0.446885i
\(343\) 12.5180 + 5.18511i 0.675907 + 0.279970i
\(344\) 20.3933 14.8800i 1.09953 0.802277i
\(345\) −17.6514 + 21.2514i −0.950321 + 1.14414i
\(346\) 0.110986 0.00395102i 0.00596667 0.000212408i
\(347\) 16.7718 + 5.69324i 0.900355 + 0.305629i 0.732969 0.680262i \(-0.238134\pi\)
0.167386 + 0.985891i \(0.446467\pi\)
\(348\) 14.6334 + 7.82514i 0.784433 + 0.419471i
\(349\) 5.95327 12.0720i 0.318671 0.646202i −0.677316 0.735692i \(-0.736857\pi\)
0.995988 + 0.0894902i \(0.0285238\pi\)
\(350\) 18.9627 + 0.566503i 1.01360 + 0.0302808i
\(351\) 2.05517 2.76334i 0.109697 0.147496i
\(352\) 1.63773 + 34.8042i 0.0872914 + 1.85507i
\(353\) 0.463530 0.267619i 0.0246712 0.0142439i −0.487614 0.873060i \(-0.662133\pi\)
0.512285 + 0.858816i \(0.328799\pi\)
\(354\) 11.8779 + 0.814800i 0.631301 + 0.0433061i
\(355\) −36.5415 + 2.39505i −1.93942 + 0.127116i
\(356\) −29.2843 5.65112i −1.55207 0.299509i
\(357\) 6.18132 + 7.62324i 0.327150 + 0.403465i
\(358\) −16.8253 8.93157i −0.889247 0.472048i
\(359\) 1.75421 0.726617i 0.0925836 0.0383494i −0.335911 0.941894i \(-0.609044\pi\)
0.428495 + 0.903544i \(0.359044\pi\)
\(360\) −3.62049 + 35.5834i −0.190817 + 1.87541i
\(361\) 12.3149 + 5.10101i 0.648154 + 0.268474i
\(362\) −5.20204 + 4.29415i −0.273413 + 0.225696i
\(363\) 19.0050 + 42.6120i 0.997505 + 2.23655i
\(364\) −0.525582 + 1.28968i −0.0275480 + 0.0675975i
\(365\) −27.1628 23.8211i −1.42177 1.24686i
\(366\) 1.27438 6.30645i 0.0666129 0.329643i
\(367\) −4.53112 + 16.9104i −0.236523 + 0.882714i 0.740934 + 0.671578i \(0.234383\pi\)
−0.977457 + 0.211136i \(0.932284\pi\)
\(368\) 13.1935 + 7.41739i 0.687759 + 0.386658i
\(369\) 1.25240 + 6.70908i 0.0651976 + 0.349261i
\(370\) 3.41338 + 1.53484i 0.177453 + 0.0797923i
\(371\) 3.88711 + 11.4511i 0.201809 + 0.594509i
\(372\) 3.95055 6.35042i 0.204826 0.329254i
\(373\) 1.30903 + 2.65446i 0.0677792 + 0.137443i 0.928126 0.372267i \(-0.121419\pi\)
−0.860346 + 0.509710i \(0.829753\pi\)
\(374\) 19.5105 + 42.7352i 1.00886 + 2.20978i
\(375\) 51.5187 + 23.7102i 2.66041 + 1.22439i
\(376\) −17.4263 + 8.07662i −0.898692 + 0.416520i
\(377\) 1.21496 + 2.93318i 0.0625738 + 0.151066i
\(378\) 5.87963 5.00390i 0.302416 0.257373i
\(379\) 6.82893 1.35836i 0.350778 0.0697742i −0.0165564 0.999863i \(-0.505270\pi\)
0.367335 + 0.930089i \(0.380270\pi\)
\(380\) 8.98176 + 17.9537i 0.460755 + 0.921003i
\(381\) 2.03117 + 3.30978i 0.104060 + 0.169565i
\(382\) −6.17137 26.1295i −0.315755 1.33690i
\(383\) 15.1284 26.2031i 0.773025 1.33892i −0.162873 0.986647i \(-0.552076\pi\)
0.935898 0.352271i \(-0.114591\pi\)
\(384\) 19.5339 1.55748i 0.996836 0.0794799i
\(385\) −13.6391 23.6235i −0.695111 1.20397i
\(386\) 21.2549 20.0217i 1.08184 1.01908i
\(387\) −23.0293 13.6608i −1.17064 0.694418i
\(388\) −15.8456 0.947609i −0.804439 0.0481075i
\(389\) 5.34651 + 6.09652i 0.271079 + 0.309106i 0.871322 0.490711i \(-0.163263\pi\)
−0.600244 + 0.799817i \(0.704930\pi\)
\(390\) −4.85346 + 4.82403i −0.245764 + 0.244274i
\(391\) 20.2326 + 2.66367i 1.02321 + 0.134708i
\(392\) 9.59722 13.6385i 0.484733 0.688847i
\(393\) −4.19207 + 2.96672i −0.211462 + 0.149651i
\(394\) −21.8371 2.08774i −1.10014 0.105179i
\(395\) −3.98060 + 5.95738i −0.200286 + 0.299748i
\(396\) 33.2439 16.1435i 1.67057 0.811240i
\(397\) −5.62716 1.11931i −0.282419 0.0561767i 0.0518481 0.998655i \(-0.483489\pi\)
−0.334267 + 0.942478i \(0.608489\pi\)
\(398\) −0.0394338 0.388973i −0.00197664 0.0194975i
\(399\) 1.28236 4.13930i 0.0641984 0.207224i
\(400\) 12.6532 49.4793i 0.632662 2.47396i
\(401\) −0.497107 + 0.133200i −0.0248244 + 0.00665167i −0.271210 0.962520i \(-0.587424\pi\)
0.246385 + 0.969172i \(0.420757\pi\)
\(402\) −6.46469 + 2.17257i −0.322430 + 0.108358i
\(403\) 1.35495 0.459944i 0.0674950 0.0229115i
\(404\) 1.05313 0.144779i 0.0523953 0.00720302i
\(405\) 36.2012 11.3432i 1.79885 0.563650i
\(406\) 1.17952 + 7.01931i 0.0585386 + 0.348363i
\(407\) −0.504747 3.83393i −0.0250194 0.190041i
\(408\) 23.6649 11.7491i 1.17159 0.581668i
\(409\) 3.89055 29.5517i 0.192375 1.46124i −0.574006 0.818851i \(-0.694612\pi\)
0.766382 0.642385i \(-0.222055\pi\)
\(410\) −0.482477 13.5531i −0.0238279 0.669338i
\(411\) 2.24857 + 2.77310i 0.110914 + 0.136787i
\(412\) 21.4007 24.6862i 1.05434 1.21620i
\(413\) 2.83713 + 4.24607i 0.139606 + 0.208936i
\(414\) 1.71632 15.9617i 0.0843528 0.784475i
\(415\) 56.1846i 2.75799i
\(416\) 3.07838 + 2.14000i 0.150930 + 0.104922i
\(417\) −18.5297 + 29.4098i −0.907403 + 1.44020i
\(418\) 10.9030 17.6458i 0.533284 0.863084i
\(419\) −33.8193 + 2.21663i −1.65218 + 0.108290i −0.862777 0.505584i \(-0.831277\pi\)
−0.789404 + 0.613874i \(0.789610\pi\)
\(420\) −13.0295 + 8.09898i −0.635775 + 0.395190i
\(421\) −15.3610 + 13.4713i −0.748652 + 0.656550i −0.946141 0.323755i \(-0.895055\pi\)
0.197489 + 0.980305i \(0.436721\pi\)
\(422\) 0.0760042 + 0.121449i 0.00369982 + 0.00591204i
\(423\) 15.1570 + 13.6120i 0.736956 + 0.661840i
\(424\) 32.3694 3.46869i 1.57199 0.168454i
\(425\) −8.98795 68.2703i −0.435980 3.31160i
\(426\) 16.9220 12.9031i 0.819873 0.625159i
\(427\) 2.47509 1.22058i 0.119778 0.0590679i
\(428\) 0.610779 + 1.45103i 0.0295231 + 0.0701380i
\(429\) 6.87627 + 1.64616i 0.331989 + 0.0794773i
\(430\) 41.2251 + 33.6358i 1.98805 + 1.62206i
\(431\) −16.9026 16.9026i −0.814168 0.814168i 0.171088 0.985256i \(-0.445272\pi\)
−0.985256 + 0.171088i \(0.945272\pi\)
\(432\) −9.68278 18.3914i −0.465863 0.884857i
\(433\) −3.56897 + 3.56897i −0.171514 + 0.171514i −0.787644 0.616130i \(-0.788699\pi\)
0.616130 + 0.787644i \(0.288699\pi\)
\(434\) 3.19157 0.323558i 0.153200 0.0155313i
\(435\) −8.14259 + 34.0129i −0.390408 + 1.63080i
\(436\) −18.9640 + 19.1822i −0.908212 + 0.918659i
\(437\) −3.98523 8.08124i −0.190639 0.386578i
\(438\) 20.8065 + 2.80363i 0.994175 + 0.133963i
\(439\) 9.62565 1.26724i 0.459407 0.0604821i 0.102729 0.994709i \(-0.467243\pi\)
0.356678 + 0.934227i \(0.383909\pi\)
\(440\) −70.0870 + 21.9189i −3.34127 + 1.04494i
\(441\) −17.3066 3.65531i −0.824123 0.174062i
\(442\) 4.92614 + 1.13378i 0.234313 + 0.0539282i
\(443\) −10.3298 11.7789i −0.490784 0.559632i 0.452437 0.891796i \(-0.350555\pi\)
−0.943222 + 0.332164i \(0.892221\pi\)
\(444\) −2.14586 + 0.353883i −0.101838 + 0.0167945i
\(445\) −4.11113 62.7237i −0.194886 2.97339i
\(446\) −13.7044 + 3.23676i −0.648921 + 0.153265i
\(447\) 18.8021 + 11.8463i 0.889308 + 0.560310i
\(448\) 5.64954 + 6.22338i 0.266916 + 0.294027i
\(449\) −9.57721 −0.451977 −0.225988 0.974130i \(-0.572561\pi\)
−0.225988 + 0.974130i \(0.572561\pi\)
\(450\) −53.5228 + 8.34575i −2.52309 + 0.393422i
\(451\) −11.6510 + 7.78495i −0.548624 + 0.366579i
\(452\) 2.66777 8.00917i 0.125481 0.376720i
\(453\) 3.20558 2.59925i 0.150611 0.122124i
\(454\) −15.0393 + 16.1496i −0.705829 + 0.757937i
\(455\) −2.91006 0.383117i −0.136426 0.0179608i
\(456\) −10.1184 5.80582i −0.473839 0.271882i
\(457\) −18.2496 + 2.40261i −0.853682 + 0.112389i −0.544651 0.838663i \(-0.683338\pi\)
−0.309031 + 0.951052i \(0.600005\pi\)
\(458\) −7.60761 5.41868i −0.355480 0.253198i
\(459\) −21.3446 18.1587i −0.996280 0.847576i
\(460\) −8.07993 + 30.8595i −0.376729 + 1.43883i
\(461\) 7.44683 + 21.9376i 0.346833 + 1.02174i 0.970718 + 0.240221i \(0.0772201\pi\)
−0.623885 + 0.781516i \(0.714447\pi\)
\(462\) 14.1955 + 7.05417i 0.660432 + 0.328190i
\(463\) 1.37326 + 5.12506i 0.0638206 + 0.238182i 0.990467 0.137753i \(-0.0439882\pi\)
−0.926646 + 0.375935i \(0.877321\pi\)
\(464\) 19.1334 + 1.03446i 0.888248 + 0.0480238i
\(465\) 15.0566 + 4.66457i 0.698235 + 0.216314i
\(466\) 6.41851 + 5.23690i 0.297332 + 0.242595i
\(467\) 2.69032 13.5252i 0.124493 0.625870i −0.867275 0.497829i \(-0.834131\pi\)
0.991769 0.128042i \(-0.0408692\pi\)
\(468\) 0.799495 3.89536i 0.0369567 0.180063i
\(469\) −2.43228 1.62520i −0.112312 0.0750447i
\(470\) −25.7700 31.2183i −1.18868 1.43999i
\(471\) −14.4484 20.4161i −0.665748 0.940725i
\(472\) 12.8244 4.95277i 0.590293 0.227970i
\(473\) 7.17567 54.5047i 0.329938 2.50613i
\(474\) 0.0126617 4.16356i 0.000581573 0.191239i
\(475\) −22.8587 + 20.0466i −1.04883 + 0.919800i
\(476\) 10.1925 + 4.95412i 0.467172 + 0.227072i
\(477\) −16.9107 30.1050i −0.774286 1.37841i
\(478\) −5.04780 0.150801i −0.230881 0.00689749i
\(479\) −30.1178 + 17.3885i −1.37612 + 0.794501i −0.991689 0.128655i \(-0.958934\pi\)
−0.384426 + 0.923156i \(0.625601\pi\)
\(480\) 13.6034 + 38.9957i 0.620909 + 1.77990i
\(481\) −0.360351 0.208048i −0.0164306 0.00948619i
\(482\) −19.5264 12.0650i −0.889404 0.549547i
\(483\) 5.86885 3.60164i 0.267042 0.163880i
\(484\) 40.7087 + 35.2908i 1.85039 + 1.60413i
\(485\) −6.52691 32.8130i −0.296372 1.48996i
\(486\) −13.8815 + 17.1261i −0.629679 + 0.776855i
\(487\) 23.5543 9.75651i 1.06735 0.442110i 0.221293 0.975207i \(-0.428972\pi\)
0.846054 + 0.533098i \(0.178972\pi\)
\(488\) −1.74900 7.22044i −0.0791737 0.326854i
\(489\) −1.61591 + 3.51114i −0.0730741 + 0.158779i
\(490\) 32.9304 + 12.2868i 1.48765 + 0.555059i
\(491\) 9.93913 4.90144i 0.448547 0.221199i −0.203964 0.978978i \(-0.565382\pi\)
0.652511 + 0.757780i \(0.273716\pi\)
\(492\) 4.58922 + 6.40672i 0.206898 + 0.288837i
\(493\) 24.4641 8.30444i 1.10181 0.374013i
\(494\) −0.792164 2.08661i −0.0356411 0.0938811i
\(495\) 50.6612 + 59.1620i 2.27705 + 2.65914i
\(496\) 1.02922 8.57440i 0.0462135 0.385002i
\(497\) 8.81662 + 2.36241i 0.395479 + 0.105968i
\(498\) 18.0564 + 27.2020i 0.809126 + 1.21895i
\(499\) 21.0284 23.9783i 0.941361 1.07342i −0.0558239 0.998441i \(-0.517779\pi\)
0.997185 0.0749764i \(-0.0238881\pi\)
\(500\) 65.4853 0.374472i 2.92859 0.0167469i
\(501\) 17.4894 7.80030i 0.781369 0.348492i
\(502\) −13.0720 1.24975i −0.583430 0.0557790i
\(503\) −13.3294 + 32.1800i −0.594328 + 1.43484i 0.284957 + 0.958540i \(0.408021\pi\)
−0.879285 + 0.476295i \(0.841979\pi\)
\(504\) 3.70547 8.10853i 0.165055 0.361182i
\(505\) 0.857386 + 2.06991i 0.0381532 + 0.0921099i
\(506\) 31.5136 9.65803i 1.40095 0.429352i
\(507\) −16.8986 + 13.7023i −0.750495 + 0.608541i
\(508\) 3.74257 + 2.46987i 0.166050 + 0.109583i
\(509\) 0.367665 + 5.60948i 0.0162965 + 0.248636i 0.998233 + 0.0594244i \(0.0189265\pi\)
−0.981936 + 0.189212i \(0.939407\pi\)
\(510\) 36.5881 + 41.9776i 1.62015 + 1.85880i
\(511\) 4.50257 + 7.79868i 0.199182 + 0.344993i
\(512\) 19.6745 11.1764i 0.869500 0.493932i
\(513\) −1.43057 + 12.2904i −0.0631612 + 0.542636i
\(514\) −11.0367 + 10.3964i −0.486808 + 0.458565i
\(515\) 61.7563 + 30.4549i 2.72131 + 1.34200i
\(516\) −30.7691 3.03614i −1.35453 0.133659i
\(517\) −13.4447 + 39.6067i −0.591296 + 1.74190i
\(518\) −0.682675 0.635741i −0.0299950 0.0279329i
\(519\) −0.104631 0.0869066i −0.00459279 0.00381478i
\(520\) −2.71983 + 7.41882i −0.119272 + 0.325337i
\(521\) 12.3798 29.8875i 0.542370 1.30940i −0.380677 0.924708i \(-0.624309\pi\)
0.923047 0.384688i \(-0.125691\pi\)
\(522\) −6.98867 19.0843i −0.305886 0.835299i
\(523\) −2.58504 + 3.86879i −0.113036 + 0.169170i −0.883674 0.468103i \(-0.844938\pi\)
0.770638 + 0.637273i \(0.219938\pi\)
\(524\) −2.93565 + 5.15252i −0.128245 + 0.225089i
\(525\) −16.8642 15.9829i −0.736015 0.697551i
\(526\) 19.4345 14.0109i 0.847386 0.610903i
\(527\) −3.01363 11.2470i −0.131276 0.489928i
\(528\) 26.8887 33.1364i 1.17018 1.44208i
\(529\) −2.24710 + 8.38629i −0.0976999 + 0.364621i
\(530\) 24.3521 + 64.1452i 1.05779 + 2.78629i
\(531\) −10.1883 10.4316i −0.442135 0.452695i
\(532\) −0.681480 4.95714i −0.0295459 0.214919i
\(533\) −0.0986130 + 1.50454i −0.00427140 + 0.0651690i
\(534\) 22.1483 + 29.0467i 0.958451 + 1.25697i
\(535\) −2.63240 + 2.01991i −0.113808 + 0.0873283i
\(536\) −5.70133 + 5.43243i −0.246260 + 0.234645i
\(537\) 8.08908 + 21.8830i 0.349070 + 0.944320i
\(538\) 35.1089 + 18.6373i 1.51365 + 0.803509i
\(539\) −7.08500 35.6187i −0.305173 1.53421i
\(540\) 32.3287 29.5599i 1.39120 1.27206i
\(541\) 10.5376 + 15.7707i 0.453048 + 0.678035i 0.985740 0.168275i \(-0.0538195\pi\)
−0.532692 + 0.846309i \(0.678820\pi\)
\(542\) 5.62084 3.02510i 0.241436 0.129939i
\(543\) 8.25528 + 0.319020i 0.354268 + 0.0136905i
\(544\) 19.0152 23.8576i 0.815270 1.02288i
\(545\) −49.2336 28.4250i −2.10894 1.21759i
\(546\) 1.53204 0.749736i 0.0655653 0.0320857i
\(547\) −4.79900 + 9.73141i −0.205190 + 0.416085i −0.975005 0.222182i \(-0.928682\pi\)
0.769815 + 0.638267i \(0.220349\pi\)
\(548\) 3.70771 + 1.80216i 0.158386 + 0.0769843i
\(549\) −6.30772 + 4.72288i −0.269207 + 0.201568i
\(550\) −59.0000 94.2775i −2.51577 4.02000i
\(551\) −9.04985 6.94420i −0.385537 0.295833i
\(552\) −6.00557 17.5375i −0.255614 0.746443i
\(553\) 1.41683 1.08717i 0.0602497 0.0462312i
\(554\) −15.5520 + 41.6817i −0.660740 + 1.77089i
\(555\) −1.86706 4.18622i −0.0792523 0.177695i
\(556\) −5.01139 + 39.8238i −0.212530 + 1.68890i
\(557\) −1.99860 + 10.0477i −0.0846835 + 0.425733i 0.915065 + 0.403306i \(0.132139\pi\)
−0.999748 + 0.0224264i \(0.992861\pi\)
\(558\) −8.78881 + 2.58047i −0.372060 + 0.109240i
\(559\) −4.18282 4.18282i −0.176914 0.176914i
\(560\) −9.67274 + 14.8409i −0.408748 + 0.627144i
\(561\) 17.0265 54.9593i 0.718859 2.32039i
\(562\) 3.52857 + 4.89449i 0.148844 + 0.206462i
\(563\) −18.3813 + 20.9598i −0.774678 + 0.883351i −0.995768 0.0919023i \(-0.970705\pi\)
0.221090 + 0.975253i \(0.429039\pi\)
\(564\) 22.5095 + 6.83264i 0.947819 + 0.287706i
\(565\) 17.7538 + 1.16365i 0.746908 + 0.0489550i
\(566\) −1.74952 1.24613i −0.0735378 0.0523789i
\(567\) −9.45324 0.223148i −0.396999 0.00937132i
\(568\) 11.3969 21.7693i 0.478205 0.913420i
\(569\) 27.4293 35.7465i 1.14989 1.49857i 0.314218 0.949351i \(-0.398258\pi\)
0.835677 0.549221i \(-0.185076\pi\)
\(570\) 6.43571 23.7295i 0.269562 0.993920i
\(571\) −4.96596 + 14.6292i −0.207819 + 0.612215i 0.792179 + 0.610288i \(0.208946\pi\)
−0.999998 + 0.00192620i \(0.999387\pi\)
\(572\) 7.99827 1.63856i 0.334425 0.0685115i
\(573\) −15.6715 + 28.9078i −0.654687 + 1.20764i
\(574\) −0.971993 + 3.23753i −0.0405702 + 0.135132i
\(575\) −48.3124 −2.01476
\(576\) −19.1184 14.5081i −0.796602 0.604505i
\(577\) 14.9459 0.622206 0.311103 0.950376i \(-0.399302\pi\)
0.311103 + 0.950376i \(0.399302\pi\)
\(578\) 4.91493 16.3707i 0.204434 0.680932i
\(579\) −35.7497 + 0.959204i −1.48571 + 0.0398631i
\(580\) 8.10499 + 39.5628i 0.336542 + 1.64276i
\(581\) −4.50150 + 13.2610i −0.186754 + 0.550159i
\(582\) 13.7053 + 13.7890i 0.568105 + 0.571571i
\(583\) 43.1572 56.2435i 1.78739 2.32937i
\(584\) 23.1374 7.23594i 0.957431 0.299425i
\(585\) 8.36893 0.449419i 0.346013 0.0185812i
\(586\) −18.2616 13.0072i −0.754380 0.537323i
\(587\) −21.4699 1.40721i −0.886157 0.0580818i −0.384476 0.923135i \(-0.625618\pi\)
−0.501680 + 0.865053i \(0.667285\pi\)
\(588\) −19.8921 + 4.63437i −0.820335 + 0.191118i
\(589\) −3.38978 + 3.86530i −0.139673 + 0.159267i
\(590\) 16.9442 + 23.5034i 0.697582 + 0.967620i
\(591\) 18.2499 + 19.7171i 0.750701 + 0.811054i
\(592\) −2.07198 + 1.41899i −0.0851577 + 0.0583202i
\(593\) 29.7217 + 29.7217i 1.22052 + 1.22052i 0.967446 + 0.253078i \(0.0814428\pi\)
0.253078 + 0.967446i \(0.418557\pi\)
\(594\) −43.5411 12.3622i −1.78651 0.507229i
\(595\) −4.65969 + 23.4258i −0.191029 + 0.960366i
\(596\) 25.4599 + 3.20385i 1.04288 + 0.131235i
\(597\) −0.281202 + 0.387567i −0.0115088 + 0.0158621i
\(598\) 1.23979 3.32283i 0.0506988 0.135881i
\(599\) 2.72159 2.08835i 0.111201 0.0853276i −0.551664 0.834066i \(-0.686007\pi\)
0.662865 + 0.748739i \(0.269340\pi\)
\(600\) −51.9149 + 34.8898i −2.11942 + 1.42437i
\(601\) 7.64188 + 5.86382i 0.311719 + 0.239190i 0.752758 0.658298i \(-0.228723\pi\)
−0.441039 + 0.897488i \(0.645390\pi\)
\(602\) −7.03529 11.2419i −0.286737 0.458184i
\(603\) 7.67868 + 3.28730i 0.312700 + 0.133869i
\(604\) 2.08322 4.28595i 0.0847648 0.174393i
\(605\) −50.2215 + 101.839i −2.04179 + 4.14035i
\(606\) −1.08033 0.726614i −0.0438853 0.0295167i
\(607\) −23.0177 13.2893i −0.934261 0.539396i −0.0461043 0.998937i \(-0.514681\pi\)
−0.888157 + 0.459541i \(0.848014\pi\)
\(608\) −13.4231 1.12856i −0.544379 0.0457693i
\(609\) 4.64698 7.37554i 0.188305 0.298872i
\(610\) 13.7879 7.42053i 0.558254 0.300448i
\(611\) 2.50040 + 3.74211i 0.101155 + 0.151389i
\(612\) −31.2049 8.56508i −1.26138 0.346223i
\(613\) 4.69609 + 23.6088i 0.189673 + 0.953552i 0.951939 + 0.306288i \(0.0990870\pi\)
−0.762266 + 0.647264i \(0.775913\pi\)
\(614\) 25.0577 + 13.3017i 1.01125 + 0.536811i
\(615\) −10.6126 + 12.7770i −0.427940 + 0.515217i
\(616\) 18.2985 + 0.441946i 0.737267 + 0.0178065i
\(617\) −28.6240 + 21.9640i −1.15236 + 0.884237i −0.994655 0.103249i \(-0.967076\pi\)
−0.157705 + 0.987486i \(0.550409\pi\)
\(618\) −39.6871 + 5.10217i −1.59645 + 0.205239i
\(619\) 2.45495 37.4553i 0.0986727 1.50545i −0.605739 0.795663i \(-0.707123\pi\)
0.704412 0.709791i \(-0.251211\pi\)
\(620\) 18.0315 2.47887i 0.724163 0.0995539i
\(621\) −14.5860 + 13.1845i −0.585317 + 0.529075i
\(622\) −15.6269 41.1624i −0.626583 1.65046i
\(623\) −4.05508 + 15.1338i −0.162464 + 0.606322i
\(624\) −1.06742 4.46594i −0.0427308 0.178781i
\(625\) 19.1991 + 71.6519i 0.767962 + 2.86607i
\(626\) −1.25142 + 0.902180i −0.0500167 + 0.0360584i
\(627\) −24.3534 + 7.23089i −0.972582 + 0.288774i
\(628\) −25.0937 14.2971i −1.00135 0.570518i
\(629\) −1.88114 + 2.81533i −0.0750060 + 0.112254i
\(630\) 18.5103 + 3.22634i 0.737470 + 0.128541i
\(631\) −14.3656 + 34.6816i −0.571884 + 1.38065i 0.328065 + 0.944655i \(0.393604\pi\)
−0.899949 + 0.435995i \(0.856396\pi\)
\(632\) −2.02166 4.36197i −0.0804171 0.173510i
\(633\) 0.0296042 0.172955i 0.00117666 0.00687433i
\(634\) −24.7432 23.0421i −0.982677 0.915117i
\(635\) −3.03782 + 8.94912i −0.120552 + 0.355135i
\(636\) −32.4049 23.2300i −1.28494 0.921128i
\(637\) −3.50473 1.72834i −0.138862 0.0684793i
\(638\) 30.3735 28.6114i 1.20250 1.13273i
\(639\) −25.9850 2.01135i −1.02795 0.0795680i
\(640\) 33.2902 + 34.1475i 1.31591 + 1.34980i
\(641\) −1.29859 2.24922i −0.0512912 0.0888390i 0.839240 0.543761i \(-0.183000\pi\)
−0.890531 + 0.454922i \(0.849667\pi\)
\(642\) 0.625335 1.82394i 0.0246800 0.0719850i
\(643\) −2.88478 44.0132i −0.113765 1.73571i −0.549373 0.835577i \(-0.685134\pi\)
0.435609 0.900136i \(-0.356533\pi\)
\(644\) 4.37953 6.63627i 0.172578 0.261506i
\(645\) −10.2354 64.3549i −0.403017 2.53397i
\(646\) −17.3649 + 5.32186i −0.683214 + 0.209386i
\(647\) 7.23184 + 17.4592i 0.284313 + 0.686392i 0.999927 0.0121039i \(-0.00385288\pi\)
−0.715614 + 0.698496i \(0.753853\pi\)
\(648\) −6.15220 + 24.7012i −0.241681 + 0.970356i
\(649\) 11.4567 27.6589i 0.449714 1.08571i
\(650\) −11.9128 1.13893i −0.467259 0.0446724i
\(651\) −3.18003 2.30729i −0.124635 0.0904300i
\(652\) 0.0255213 + 4.46300i 0.000999492 + 0.174785i
\(653\) −14.8766 + 16.9635i −0.582165 + 0.663832i −0.965690 0.259699i \(-0.916377\pi\)
0.383525 + 0.923531i \(0.374710\pi\)
\(654\) 32.9718 2.06040i 1.28930 0.0805682i
\(655\) −12.0725 3.23481i −0.471710 0.126394i
\(656\) 7.93232 + 4.45956i 0.309705 + 0.174116i
\(657\) −16.7245 19.5308i −0.652483 0.761968i
\(658\) 3.58116 + 9.43302i 0.139608 + 0.367737i
\(659\) 7.26650 2.46664i 0.283062 0.0960868i −0.176298 0.984337i \(-0.556412\pi\)
0.459360 + 0.888250i \(0.348079\pi\)
\(660\) 81.9150 + 37.1332i 3.18854 + 1.44541i
\(661\) 7.24189 3.57131i 0.281677 0.138908i −0.295963 0.955199i \(-0.595640\pi\)
0.577640 + 0.816292i \(0.303974\pi\)
\(662\) −14.9167 5.56560i −0.579753 0.216313i
\(663\) −3.57637 5.05353i −0.138895 0.196263i
\(664\) 32.1847 + 19.6329i 1.24901 + 0.761906i
\(665\) 9.74317 4.03575i 0.377824 0.156500i
\(666\) 2.24930 + 1.42675i 0.0871585 + 0.0552854i
\(667\) −3.53624 17.7779i −0.136924 0.688363i
\(668\) 14.4845 16.7082i 0.560423 0.646460i
\(669\) 15.1615 + 8.21938i 0.586178 + 0.317780i
\(670\) −14.1196 8.72424i −0.545487 0.337047i
\(671\) −14.0110 8.08924i −0.540887 0.312282i
\(672\) −0.0864259 10.2939i −0.00333395 0.397095i
\(673\) −24.7225 + 14.2735i −0.952982 + 0.550205i −0.894006 0.448055i \(-0.852117\pi\)
−0.0589762 + 0.998259i \(0.518784\pi\)
\(674\) 13.6780 + 0.408625i 0.526856 + 0.0157396i
\(675\) 55.7104 + 36.0258i 2.14430 + 1.38663i
\(676\) −10.9819 + 22.5940i −0.422382 + 0.868998i
\(677\) 17.3518 15.2171i 0.666883 0.584841i −0.257513 0.966275i \(-0.582903\pi\)
0.924396 + 0.381434i \(0.124570\pi\)
\(678\) −8.96955 + 5.14227i −0.344473 + 0.197488i
\(679\) −1.08846 + 8.26764i −0.0417711 + 0.317283i
\(680\) 58.7935 + 26.0335i 2.25463 + 0.998338i
\(681\) 26.9125 2.49041i 1.03129 0.0954327i
\(682\) −11.9721 14.5033i −0.458435 0.555359i
\(683\) −35.7105 23.8610i −1.36643 0.913016i −0.366576 0.930388i \(-0.619470\pi\)
−0.999849 + 0.0173720i \(0.994470\pi\)
\(684\) 4.51022 + 13.5570i 0.172453 + 0.518366i
\(685\) −1.69505 + 8.52160i −0.0647646 + 0.325594i
\(686\) −14.8469 12.1136i −0.566856 0.462501i
\(687\) 2.53181 + 11.1556i 0.0965945 + 0.425611i
\(688\) −33.6735 + 11.8618i −1.28379 + 0.452226i
\(689\) −1.97433 7.36832i −0.0752162 0.280711i
\(690\) 32.5506 21.6067i 1.23918 0.822553i
\(691\) −6.43113 18.9455i −0.244652 0.720721i −0.998007 0.0631070i \(-0.979899\pi\)
0.753355 0.657614i \(-0.228434\pi\)
\(692\) −0.151936 0.0397814i −0.00577575 0.00151226i
\(693\) −7.21730 18.0227i −0.274162 0.684627i
\(694\) −20.4019 14.5317i −0.774447 0.551616i
\(695\) −83.8707 + 11.0418i −3.18140 + 0.418839i
\(696\) −16.6386 16.5498i −0.630685 0.627317i
\(697\) 12.1644 + 1.60148i 0.460761 + 0.0606604i
\(698\) −12.9728 + 13.9305i −0.491026 + 0.527277i
\(699\) −1.59358 10.0197i −0.0602749 0.378979i
\(700\) −25.4543 8.47855i −0.962082 0.320459i
\(701\) 38.2626 25.5662i 1.44516 0.965623i 0.447713 0.894177i \(-0.352239\pi\)
0.997444 0.0714459i \(-0.0227613\pi\)
\(702\) −3.90742 + 2.90716i −0.147476 + 0.109724i
\(703\) 1.49502 0.0563856
\(704\) 11.9350 47.8079i 0.449817 1.80183i
\(705\) −1.91450 + 49.5414i −0.0721041 + 1.86584i
\(706\) −0.736674 + 0.173991i −0.0277251 + 0.00654822i
\(707\) −0.0365239 0.557246i −0.00137362 0.0209574i
\(708\) −15.7570 5.93380i −0.592186 0.223006i
\(709\) −27.4221 31.2689i −1.02986 1.17433i −0.984505 0.175356i \(-0.943892\pi\)
−0.0453517 0.998971i \(-0.514441\pi\)
\(710\) 50.4689 + 11.6156i 1.89406 + 0.435927i
\(711\) −3.40722 + 3.79393i −0.127781 + 0.142284i
\(712\) 37.3672 + 19.5629i 1.40039 + 0.733152i
\(713\) −8.09949 + 1.06632i −0.303328 + 0.0399339i
\(714\) −5.27250 12.8392i −0.197318 0.480496i
\(715\) 7.61057 + 15.4327i 0.284619 + 0.577151i
\(716\) 19.1576 + 18.9398i 0.715954 + 0.707813i
\(717\) 4.48920 + 4.25460i 0.167652 + 0.158891i
\(718\) −2.67153 + 0.270838i −0.0997007 + 0.0101076i
\(719\) 8.24377 8.24377i 0.307441 0.307441i −0.536475 0.843916i \(-0.680245\pi\)
0.843916 + 0.536475i \(0.180245\pi\)
\(720\) 19.3740 46.7250i 0.722028 1.74134i
\(721\) −12.1360 12.1360i −0.451970 0.451970i
\(722\) −14.6060 11.9172i −0.543581 0.443510i
\(723\) 8.00154 + 26.9489i 0.297580 + 1.00224i
\(724\) 8.79233 3.70094i 0.326764 0.137545i
\(725\) −54.8551 + 27.0515i −2.03727 + 1.00467i
\(726\) −8.41371 65.4458i −0.312262 2.42892i
\(727\) −0.378098 2.87194i −0.0140229 0.106514i 0.983002 0.183595i \(-0.0587735\pi\)
−0.997025 + 0.0770805i \(0.975440\pi\)
\(728\) 1.23635 1.53312i 0.0458220 0.0568212i
\(729\) 26.6510 4.32686i 0.987076 0.160254i
\(730\) 27.1047 + 43.3113i 1.00319 + 1.60302i
\(731\) −36.1907 + 31.7384i −1.33856 + 1.17389i
\(732\) −4.29067 + 8.02377i −0.158588 + 0.296567i
\(733\) 15.4724 1.01411i 0.571485 0.0374571i 0.223078 0.974801i \(-0.428389\pi\)
0.348407 + 0.937343i \(0.386723\pi\)
\(734\) 13.0140 21.0623i 0.480355 0.777422i
\(735\) −20.0680 38.0834i −0.740219 1.40473i
\(736\) −14.8541 15.4119i −0.547529 0.568092i
\(737\) 17.1493i 0.631702i
\(738\) 1.03191 9.59665i 0.0379850 0.353258i
\(739\) 6.41569 + 9.60177i 0.236005 + 0.353207i 0.930501 0.366290i \(-0.119372\pi\)
−0.694495 + 0.719497i \(0.744372\pi\)
\(740\) −3.99924 3.46698i −0.147015 0.127449i
\(741\) −0.977966 + 2.55261i −0.0359265 + 0.0937723i
\(742\) −0.608425 17.0910i −0.0223360 0.627430i
\(743\) 0.535727 4.06925i 0.0196539 0.149286i −0.978804 0.204799i \(-0.934346\pi\)
0.998458 + 0.0555126i \(0.0176793\pi\)
\(744\) −7.93338 + 6.99506i −0.290852 + 0.256451i
\(745\) 7.05917 + 53.6197i 0.258628 + 1.96447i
\(746\) −0.693624 4.12775i −0.0253954 0.151128i
\(747\) 5.68683 39.5807i 0.208070 1.44818i
\(748\) −9.04832 65.8182i −0.330839 2.40655i
\(749\) 0.783148 0.265843i 0.0286156 0.00971369i
\(750\) −60.1395 53.0653i −2.19598 1.93767i
\(751\) 16.4684 4.41269i 0.600939 0.161021i 0.0544913 0.998514i \(-0.482646\pi\)
0.546448 + 0.837493i \(0.315980\pi\)
\(752\) 26.8881 3.85321i 0.980506 0.140512i
\(753\) 10.9246 + 11.8029i 0.398116 + 0.430123i
\(754\) −0.452863 4.46702i −0.0164923 0.162679i
\(755\) 9.85060 + 1.95941i 0.358500 + 0.0713101i
\(756\) −9.99873 + 4.38673i −0.363650 + 0.159544i
\(757\) 8.93665 13.3746i 0.324808 0.486110i −0.632747 0.774358i \(-0.718073\pi\)
0.957556 + 0.288248i \(0.0930729\pi\)
\(758\) −9.80207 0.937130i −0.356027 0.0340381i
\(759\) −36.6708 16.8768i −1.33107 0.612590i
\(760\) −4.86475 27.9704i −0.176463 1.01459i
\(761\) 45.9066 + 6.04372i 1.66411 + 0.219085i 0.903032 0.429572i \(-0.141336\pi\)
0.761081 + 0.648657i \(0.224669\pi\)
\(762\) −1.40526 5.30904i −0.0509073 0.192326i
\(763\) 9.34299 + 10.6536i 0.338239 + 0.385687i
\(764\) −2.26662 + 37.9017i −0.0820034 + 1.37123i
\(765\) 0.804774 68.1951i 0.0290967 2.46560i
\(766\) −31.1468 + 29.3398i −1.12538 + 1.06009i
\(767\) −1.61068 2.78977i −0.0581581 0.100733i
\(768\) −27.0918 5.83395i −0.977591 0.210515i
\(769\) −7.61125 + 13.1831i −0.274469 + 0.475393i −0.970001 0.243101i \(-0.921835\pi\)
0.695532 + 0.718495i \(0.255169\pi\)
\(770\) 8.86732 + 37.5441i 0.319556 + 1.35300i
\(771\) 18.5632 0.498071i 0.668537 0.0179376i
\(772\) −36.9313 + 18.4758i −1.32919 + 0.664959i
\(773\)