Properties

Label 441.2.ba.a.106.53
Level $441$
Weight $2$
Character 441.106
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.ba (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 106.53
Character \(\chi\) \(=\) 441.106
Dual form 441.2.ba.a.337.53

$q$-expansion

\(f(q)\) \(=\) \(q+(2.66904 - 0.402293i) q^{2} +(-1.66495 - 0.477417i) q^{3} +(5.05080 - 1.55797i) q^{4} +(1.57905 + 1.07658i) q^{5} +(-4.63590 - 0.604446i) q^{6} +(-0.157382 - 2.64107i) q^{7} +(7.99028 - 3.84791i) q^{8} +(2.54415 + 1.58975i) q^{9} +O(q^{10})\) \(q+(2.66904 - 0.402293i) q^{2} +(-1.66495 - 0.477417i) q^{3} +(5.05080 - 1.55797i) q^{4} +(1.57905 + 1.07658i) q^{5} +(-4.63590 - 0.604446i) q^{6} +(-0.157382 - 2.64107i) q^{7} +(7.99028 - 3.84791i) q^{8} +(2.54415 + 1.58975i) q^{9} +(4.64765 + 2.23819i) q^{10} +(-3.91838 + 0.590601i) q^{11} +(-9.15316 + 0.182604i) q^{12} +(-1.69856 + 4.32787i) q^{13} +(-1.48254 - 6.98580i) q^{14} +(-2.11507 - 2.54632i) q^{15} +(11.0440 - 7.52968i) q^{16} +(-0.299635 - 1.31279i) q^{17} +(7.42998 + 3.21963i) q^{18} -2.09983 q^{19} +(9.65275 + 2.97748i) q^{20} +(-0.998856 + 4.47239i) q^{21} +(-10.2207 + 3.15268i) q^{22} +(6.65484 - 2.05275i) q^{23} +(-15.1405 + 2.59191i) q^{24} +(-0.492326 - 1.25442i) q^{25} +(-2.79246 + 12.2346i) q^{26} +(-3.47691 - 3.86149i) q^{27} +(-4.90960 - 13.0943i) q^{28} +(-1.95313 - 0.602459i) q^{29} +(-6.66958 - 5.94536i) q^{30} +(2.15723 + 3.73643i) q^{31} +(13.4456 - 12.4757i) q^{32} +(6.80589 + 0.887378i) q^{33} +(-1.32787 - 3.38335i) q^{34} +(2.59480 - 4.33981i) q^{35} +(15.3268 + 4.06584i) q^{36} +(1.70026 + 7.44935i) q^{37} +(-5.60452 + 0.844746i) q^{38} +(4.89422 - 6.39478i) q^{39} +(16.7596 + 2.52611i) q^{40} +(-1.39472 - 0.950901i) q^{41} +(-0.866775 + 12.3388i) q^{42} +(-9.84687 + 6.71348i) q^{43} +(-18.8708 + 9.08772i) q^{44} +(2.30584 + 5.24928i) q^{45} +(16.9362 - 8.15607i) q^{46} +(-7.00144 + 1.05530i) q^{47} +(-21.9826 + 7.26398i) q^{48} +(-6.95046 + 0.831313i) q^{49} +(-1.81868 - 3.15005i) q^{50} +(-0.127868 + 2.32878i) q^{51} +(-1.83643 + 24.5055i) q^{52} +(-2.49732 + 10.9415i) q^{53} +(-10.8335 - 8.90774i) q^{54} +(-6.82315 - 3.28586i) q^{55} +(-11.4201 - 20.4973i) q^{56} +(3.49611 + 1.00249i) q^{57} +(-5.45534 - 0.822260i) q^{58} +(-0.292766 - 3.90669i) q^{59} +(-14.6499 - 9.56575i) q^{60} +(5.09812 + 1.57256i) q^{61} +(7.26088 + 9.10485i) q^{62} +(3.79824 - 6.96946i) q^{63} +(14.2001 - 17.8064i) q^{64} +(-7.34140 + 5.00528i) q^{65} +(18.5222 - 0.369515i) q^{66} +(-1.10187 - 1.90850i) q^{67} +(-3.55868 - 6.16381i) q^{68} +(-12.0600 + 0.240596i) q^{69} +(5.17976 - 12.6270i) q^{70} +(0.264180 - 1.15745i) q^{71} +(26.4457 + 2.91292i) q^{72} +(1.88164 - 2.35950i) q^{73} +(7.53490 + 19.1986i) q^{74} +(0.220816 + 2.32360i) q^{75} +(-10.6058 + 3.27146i) q^{76} +(2.17650 + 10.2558i) q^{77} +(10.4903 - 19.0368i) q^{78} +(6.20923 - 10.7547i) q^{79} +25.5454 q^{80} +(3.94536 + 8.08914i) q^{81} +(-4.10510 - 1.97691i) q^{82} +(-4.24406 - 10.8137i) q^{83} +(1.92281 + 24.1454i) q^{84} +(0.940180 - 2.39554i) q^{85} +(-23.5809 + 21.8799i) q^{86} +(2.96424 + 1.93552i) q^{87} +(-29.0364 + 19.7967i) q^{88} +(7.00395 - 8.78267i) q^{89} +(8.26613 + 13.0829i) q^{90} +(11.6975 + 3.80489i) q^{91} +(30.4142 - 20.7360i) q^{92} +(-1.80785 - 7.25088i) q^{93} +(-18.2626 + 5.63326i) q^{94} +(-3.31573 - 2.26063i) q^{95} +(-28.3424 + 14.3523i) q^{96} +(4.83617 - 8.37650i) q^{97} +(-18.2166 + 5.01493i) q^{98} +(-10.9078 - 4.72669i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 5q^{2} - 10q^{3} + 47q^{4} - 9q^{5} - 34q^{6} - 7q^{7} - 28q^{8} + O(q^{10}) \) \( 648q - 5q^{2} - 10q^{3} + 47q^{4} - 9q^{5} - 34q^{6} - 7q^{7} - 28q^{8} - 28q^{10} - 5q^{11} + 5q^{12} - 7q^{13} - 38q^{14} - 22q^{15} + 47q^{16} - 16q^{17} - 46q^{18} - 44q^{19} - 29q^{20} - 12q^{21} - 13q^{22} - 20q^{23} - 2q^{24} + 41q^{25} - 20q^{26} - 13q^{27} - 28q^{28} - 35q^{29} - 6q^{30} - 20q^{31} - 25q^{32} - 22q^{33} - q^{34} - 44q^{35} - 28q^{36} - 30q^{37} - 7q^{38} - 8q^{39} + 5q^{40} - 29q^{41} - 104q^{42} - 13q^{43} - 88q^{44} + 63q^{45} + 32q^{46} - 55q^{47} - 14q^{48} - q^{49} + 6q^{50} - 18q^{51} + 3q^{52} - 136q^{53} + 30q^{54} - 100q^{55} + 145q^{56} - 96q^{57} + 17q^{58} - 19q^{59} + 118q^{60} + 42q^{61} + 96q^{62} - 6q^{63} - 124q^{64} - 11q^{65} + 120q^{66} - 26q^{67} + 166q^{68} - 134q^{69} - 7q^{70} - 22q^{71} + 32q^{72} + 8q^{73} - 45q^{74} - 36q^{75} - 41q^{76} + q^{77} - 18q^{78} - 26q^{79} - 440q^{80} + 64q^{81} - 28q^{82} + 61q^{83} - 86q^{84} + 5q^{85} + 15q^{86} + 34q^{87} - q^{88} + 22q^{89} + 96q^{90} - 16q^{91} - 43q^{92} - 110q^{93} - q^{94} - 38q^{95} - 165q^{96} - 14q^{97} - 144q^{98} - 196q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{6}{7}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.66904 0.402293i 1.88730 0.284464i 0.899112 0.437720i \(-0.144214\pi\)
0.988187 + 0.153255i \(0.0489756\pi\)
\(3\) −1.66495 0.477417i −0.961262 0.275637i
\(4\) 5.05080 1.55797i 2.52540 0.778983i
\(5\) 1.57905 + 1.07658i 0.706173 + 0.481461i 0.862379 0.506264i \(-0.168974\pi\)
−0.156206 + 0.987725i \(0.549926\pi\)
\(6\) −4.63590 0.604446i −1.89260 0.246764i
\(7\) −0.157382 2.64107i −0.0594848 0.998229i
\(8\) 7.99028 3.84791i 2.82499 1.36044i
\(9\) 2.54415 + 1.58975i 0.848049 + 0.529918i
\(10\) 4.64765 + 2.23819i 1.46972 + 0.707779i
\(11\) −3.91838 + 0.590601i −1.18144 + 0.178073i −0.710243 0.703957i \(-0.751415\pi\)
−0.471194 + 0.882030i \(0.656177\pi\)
\(12\) −9.15316 + 0.182604i −2.64229 + 0.0527133i
\(13\) −1.69856 + 4.32787i −0.471096 + 1.20033i 0.476017 + 0.879436i \(0.342080\pi\)
−0.947114 + 0.320898i \(0.896015\pi\)
\(14\) −1.48254 6.98580i −0.396226 1.86703i
\(15\) −2.11507 2.54632i −0.546109 0.657457i
\(16\) 11.0440 7.52968i 2.76100 1.88242i
\(17\) −0.299635 1.31279i −0.0726723 0.318398i 0.925506 0.378733i \(-0.123640\pi\)
−0.998178 + 0.0603352i \(0.980783\pi\)
\(18\) 7.42998 + 3.21963i 1.75126 + 0.758874i
\(19\) −2.09983 −0.481733 −0.240866 0.970558i \(-0.577432\pi\)
−0.240866 + 0.970558i \(0.577432\pi\)
\(20\) 9.65275 + 2.97748i 2.15842 + 0.665784i
\(21\) −0.998856 + 4.47239i −0.217968 + 0.975956i
\(22\) −10.2207 + 3.15268i −2.17907 + 0.672153i
\(23\) 6.65484 2.05275i 1.38763 0.428027i 0.491136 0.871083i \(-0.336582\pi\)
0.896494 + 0.443056i \(0.146106\pi\)
\(24\) −15.1405 + 2.59191i −3.09054 + 0.529071i
\(25\) −0.492326 1.25442i −0.0984651 0.250885i
\(26\) −2.79246 + 12.2346i −0.547647 + 2.39940i
\(27\) −3.47691 3.86149i −0.669132 0.743144i
\(28\) −4.90960 13.0943i −0.927827 2.47459i
\(29\) −1.95313 0.602459i −0.362686 0.111874i 0.108056 0.994145i \(-0.465538\pi\)
−0.470742 + 0.882271i \(0.656014\pi\)
\(30\) −6.66958 5.94536i −1.21769 1.08547i
\(31\) 2.15723 + 3.73643i 0.387450 + 0.671082i 0.992106 0.125404i \(-0.0400228\pi\)
−0.604656 + 0.796487i \(0.706689\pi\)
\(32\) 13.4456 12.4757i 2.37687 2.20541i
\(33\) 6.80589 + 0.887378i 1.18475 + 0.154473i
\(34\) −1.32787 3.38335i −0.227727 0.580239i
\(35\) 2.59480 4.33981i 0.438601 0.733562i
\(36\) 15.3268 + 4.06584i 2.55446 + 0.677641i
\(37\) 1.70026 + 7.44935i 0.279522 + 1.22466i 0.898400 + 0.439178i \(0.144730\pi\)
−0.618878 + 0.785487i \(0.712413\pi\)
\(38\) −5.60452 + 0.844746i −0.909174 + 0.137036i
\(39\) 4.89422 6.39478i 0.783703 1.02398i
\(40\) 16.7596 + 2.52611i 2.64993 + 0.399413i
\(41\) −1.39472 0.950901i −0.217818 0.148506i 0.449496 0.893282i \(-0.351604\pi\)
−0.667314 + 0.744777i \(0.732556\pi\)
\(42\) −0.866775 + 12.3388i −0.133746 + 1.90392i
\(43\) −9.84687 + 6.71348i −1.50163 + 1.02380i −0.515680 + 0.856782i \(0.672461\pi\)
−0.985954 + 0.167015i \(0.946587\pi\)
\(44\) −18.8708 + 9.08772i −2.84489 + 1.37003i
\(45\) 2.30584 + 5.24928i 0.343734 + 0.782516i
\(46\) 16.9362 8.15607i 2.49711 1.20255i
\(47\) −7.00144 + 1.05530i −1.02126 + 0.153931i −0.638264 0.769817i \(-0.720347\pi\)
−0.383000 + 0.923748i \(0.625109\pi\)
\(48\) −21.9826 + 7.26398i −3.17291 + 1.04846i
\(49\) −6.95046 + 0.831313i −0.992923 + 0.118759i
\(50\) −1.81868 3.15005i −0.257201 0.445485i
\(51\) −0.127868 + 2.32878i −0.0179051 + 0.326095i
\(52\) −1.83643 + 24.5055i −0.254667 + 3.39830i
\(53\) −2.49732 + 10.9415i −0.343033 + 1.50292i 0.449603 + 0.893229i \(0.351566\pi\)
−0.792636 + 0.609696i \(0.791292\pi\)
\(54\) −10.8335 8.90774i −1.47425 1.21219i
\(55\) −6.82315 3.28586i −0.920034 0.443065i
\(56\) −11.4201 20.4973i −1.52608 2.73906i
\(57\) 3.49611 + 1.00249i 0.463071 + 0.132783i
\(58\) −5.45534 0.822260i −0.716321 0.107968i
\(59\) −0.292766 3.90669i −0.0381149 0.508608i −0.983290 0.182045i \(-0.941728\pi\)
0.945175 0.326563i \(-0.105891\pi\)
\(60\) −14.6499 9.56575i −1.89129 1.23493i
\(61\) 5.09812 + 1.57256i 0.652747 + 0.201346i 0.603403 0.797436i \(-0.293811\pi\)
0.0493435 + 0.998782i \(0.484287\pi\)
\(62\) 7.26088 + 9.10485i 0.922132 + 1.15632i
\(63\) 3.79824 6.96946i 0.478534 0.878069i
\(64\) 14.2001 17.8064i 1.77502 2.22580i
\(65\) −7.34140 + 5.00528i −0.910589 + 0.620829i
\(66\) 18.5222 0.369515i 2.27993 0.0454842i
\(67\) −1.10187 1.90850i −0.134615 0.233160i 0.790835 0.612029i \(-0.209646\pi\)
−0.925450 + 0.378869i \(0.876313\pi\)
\(68\) −3.55868 6.16381i −0.431553 0.747472i
\(69\) −12.0600 + 0.240596i −1.45186 + 0.0289643i
\(70\) 5.17976 12.6270i 0.619099 1.50922i
\(71\) 0.264180 1.15745i 0.0313524 0.137364i −0.956829 0.290650i \(-0.906128\pi\)
0.988182 + 0.153286i \(0.0489856\pi\)
\(72\) 26.4457 + 2.91292i 3.11665 + 0.343291i
\(73\) 1.88164 2.35950i 0.220229 0.276159i −0.659427 0.751768i \(-0.729201\pi\)
0.879656 + 0.475610i \(0.157773\pi\)
\(74\) 7.53490 + 19.1986i 0.875915 + 2.23179i
\(75\) 0.220816 + 2.32360i 0.0254976 + 0.268307i
\(76\) −10.6058 + 3.27146i −1.21657 + 0.375262i
\(77\) 2.17650 + 10.2558i 0.248035 + 1.16875i
\(78\) 10.4903 19.0368i 1.18779 2.15550i
\(79\) 6.20923 10.7547i 0.698593 1.21000i −0.270361 0.962759i \(-0.587143\pi\)
0.968954 0.247240i \(-0.0795236\pi\)
\(80\) 25.5454 2.85606
\(81\) 3.94536 + 8.08914i 0.438373 + 0.898793i
\(82\) −4.10510 1.97691i −0.453332 0.218313i
\(83\) −4.24406 10.8137i −0.465846 1.18696i −0.950077 0.312016i \(-0.898996\pi\)
0.484230 0.874940i \(-0.339100\pi\)
\(84\) 1.92281 + 24.1454i 0.209796 + 2.63447i
\(85\) 0.940180 2.39554i 0.101977 0.259833i
\(86\) −23.5809 + 21.8799i −2.54280 + 2.35937i
\(87\) 2.96424 + 1.93552i 0.317800 + 0.207510i
\(88\) −29.0364 + 19.7967i −3.09529 + 2.11033i
\(89\) 7.00395 8.78267i 0.742417 0.930962i −0.256954 0.966424i \(-0.582719\pi\)
0.999371 + 0.0354621i \(0.0112903\pi\)
\(90\) 8.26613 + 13.0829i 0.871327 + 1.37906i
\(91\) 11.6975 + 3.80489i 1.22623 + 0.398861i
\(92\) 30.4142 20.7360i 3.17090 2.16188i
\(93\) −1.80785 7.25088i −0.187466 0.751881i
\(94\) −18.2626 + 5.63326i −1.88364 + 0.581027i
\(95\) −3.31573 2.26063i −0.340187 0.231935i
\(96\) −28.3424 + 14.3523i −2.89269 + 1.46483i
\(97\) 4.83617 8.37650i 0.491039 0.850504i −0.508908 0.860821i \(-0.669951\pi\)
0.999947 + 0.0103166i \(0.00328393\pi\)
\(98\) −18.2166 + 5.01493i −1.84016 + 0.506585i
\(99\) −10.9078 4.72669i −1.09628 0.475050i
\(100\) −4.44099 5.56883i −0.444099 0.556883i
\(101\) −0.453596 + 6.05281i −0.0451344 + 0.602277i 0.928080 + 0.372380i \(0.121458\pi\)
−0.973215 + 0.229897i \(0.926161\pi\)
\(102\) 0.595569 + 6.26706i 0.0589701 + 0.620532i
\(103\) 13.3330 + 9.09027i 1.31374 + 0.895691i 0.998576 0.0533472i \(-0.0169890\pi\)
0.315161 + 0.949038i \(0.397941\pi\)
\(104\) 3.08128 + 41.1168i 0.302144 + 4.03183i
\(105\) −6.39212 + 5.98679i −0.623807 + 0.584250i
\(106\) −2.26377 + 30.2079i −0.219876 + 2.93405i
\(107\) 2.91802 3.65909i 0.282096 0.353737i −0.620515 0.784195i \(-0.713076\pi\)
0.902611 + 0.430457i \(0.141648\pi\)
\(108\) −23.5773 14.0867i −2.26872 1.35549i
\(109\) −0.0587631 0.0736865i −0.00562848 0.00705789i 0.779009 0.627012i \(-0.215722\pi\)
−0.784638 + 0.619955i \(0.787151\pi\)
\(110\) −19.5332 6.02518i −1.86241 0.574479i
\(111\) 0.725581 13.2146i 0.0688691 1.25427i
\(112\) −21.6245 27.9829i −2.04333 2.64414i
\(113\) −8.64762 1.30342i −0.813500 0.122615i −0.270901 0.962607i \(-0.587322\pi\)
−0.542599 + 0.839992i \(0.682560\pi\)
\(114\) 9.73457 + 1.26923i 0.911726 + 0.118874i
\(115\) 12.7183 + 3.92307i 1.18599 + 0.365828i
\(116\) −10.8035 −1.00308
\(117\) −11.2016 + 8.31043i −1.03559 + 0.768299i
\(118\) −2.35304 10.3094i −0.216615 0.949053i
\(119\) −3.42000 + 0.997966i −0.313511 + 0.0914834i
\(120\) −26.6980 12.2072i −2.43718 1.11436i
\(121\) 4.49361 1.38610i 0.408510 0.126009i
\(122\) 14.2397 + 2.14629i 1.28920 + 0.194316i
\(123\) 1.86816 + 2.24907i 0.168447 + 0.202792i
\(124\) 16.7170 + 15.5111i 1.50123 + 1.39294i
\(125\) 2.69941 11.8269i 0.241443 1.05783i
\(126\) 7.33391 20.1298i 0.653357 1.79330i
\(127\) 2.54105 + 11.1331i 0.225482 + 0.987900i 0.953275 + 0.302103i \(0.0976888\pi\)
−0.727794 + 0.685796i \(0.759454\pi\)
\(128\) 12.3954 21.4694i 1.09561 1.89765i
\(129\) 19.5997 6.47658i 1.72566 0.570231i
\(130\) −17.5809 + 16.3127i −1.54195 + 1.43072i
\(131\) −0.796914 10.6341i −0.0696267 0.929103i −0.917201 0.398426i \(-0.869557\pi\)
0.847574 0.530677i \(-0.178062\pi\)
\(132\) 35.7577 6.12138i 3.11231 0.532798i
\(133\) 0.330475 + 5.54578i 0.0286558 + 0.480880i
\(134\) −3.70872 4.65059i −0.320385 0.401750i
\(135\) −1.33302 9.84065i −0.114728 0.846949i
\(136\) −7.44567 9.33657i −0.638461 0.800605i
\(137\) 5.42815 3.70085i 0.463758 0.316185i −0.308802 0.951126i \(-0.599928\pi\)
0.772560 + 0.634941i \(0.218976\pi\)
\(138\) −32.0919 + 5.49383i −2.73185 + 0.467666i
\(139\) 10.7043 + 7.29804i 0.907924 + 0.619012i 0.924638 0.380848i \(-0.124368\pi\)
−0.0167137 + 0.999860i \(0.505320\pi\)
\(140\) 6.34455 25.9621i 0.536212 2.19420i
\(141\) 12.1609 + 1.58558i 1.02413 + 0.133530i
\(142\) 0.239474 3.19556i 0.0200962 0.268165i
\(143\) 4.09957 17.9614i 0.342824 1.50201i
\(144\) 40.0679 1.59934i 3.33900 0.133278i
\(145\) −2.43549 3.05401i −0.202256 0.253621i
\(146\) 4.07296 7.05458i 0.337081 0.583841i
\(147\) 11.9691 + 1.93417i 0.987193 + 0.159528i
\(148\) 20.1935 + 34.9762i 1.65990 + 2.87503i
\(149\) 7.80316 19.8821i 0.639260 1.62881i −0.131227 0.991352i \(-0.541892\pi\)
0.770487 0.637456i \(-0.220013\pi\)
\(150\) 1.52414 + 6.11297i 0.124445 + 0.499122i
\(151\) −1.08683 1.00843i −0.0884446 0.0820646i 0.634712 0.772749i \(-0.281119\pi\)
−0.723156 + 0.690684i \(0.757309\pi\)
\(152\) −16.7782 + 8.07995i −1.36089 + 0.655370i
\(153\) 1.32470 3.81627i 0.107095 0.308527i
\(154\) 9.93499 + 26.4975i 0.800585 + 2.13523i
\(155\) −0.616186 + 8.22244i −0.0494933 + 0.660442i
\(156\) 14.7569 39.9238i 1.18150 3.19646i
\(157\) 0.329580 + 4.39794i 0.0263033 + 0.350994i 0.994791 + 0.101933i \(0.0325028\pi\)
−0.968488 + 0.249061i \(0.919878\pi\)
\(158\) 12.2462 31.2027i 0.974252 2.48235i
\(159\) 9.38155 17.0248i 0.744005 1.35015i
\(160\) 34.6624 5.22451i 2.74030 0.413034i
\(161\) −6.46879 17.2528i −0.509812 1.35971i
\(162\) 13.7845 + 20.0031i 1.08302 + 1.57159i
\(163\) −12.6690 6.10107i −0.992312 0.477872i −0.133990 0.990983i \(-0.542779\pi\)
−0.858323 + 0.513110i \(0.828493\pi\)
\(164\) −8.52591 2.62989i −0.665762 0.205360i
\(165\) 9.79151 + 8.72829i 0.762268 + 0.679497i
\(166\) −15.6779 27.1548i −1.21684 2.10762i
\(167\) 2.41883 2.24435i 0.187175 0.173673i −0.581019 0.813890i \(-0.697346\pi\)
0.768194 + 0.640217i \(0.221156\pi\)
\(168\) 9.22825 + 39.5792i 0.711975 + 3.05360i
\(169\) −6.31563 5.86005i −0.485818 0.450773i
\(170\) 1.54567 6.77203i 0.118548 0.519391i
\(171\) −5.34226 3.33821i −0.408533 0.255279i
\(172\) −39.2752 + 49.2496i −2.99471 + 3.75525i
\(173\) −12.7089 11.7921i −0.966240 0.896540i 0.0284352 0.999596i \(-0.490948\pi\)
−0.994676 + 0.103056i \(0.967138\pi\)
\(174\) 8.69033 + 3.97350i 0.658812 + 0.301230i
\(175\) −3.23554 + 1.49769i −0.244584 + 0.113215i
\(176\) −38.8276 + 36.0268i −2.92674 + 2.71562i
\(177\) −1.37768 + 6.64424i −0.103553 + 0.499411i
\(178\) 15.1606 26.2590i 1.13634 1.96819i
\(179\) 0.172077 + 0.753917i 0.0128616 + 0.0563504i 0.980952 0.194253i \(-0.0622282\pi\)
−0.968090 + 0.250603i \(0.919371\pi\)
\(180\) 19.8245 + 22.9206i 1.47763 + 1.70840i
\(181\) 11.5348 14.4642i 0.857375 1.07511i −0.139021 0.990289i \(-0.544396\pi\)
0.996396 0.0848246i \(-0.0270330\pi\)
\(182\) 32.7518 + 5.44958i 2.42773 + 0.403949i
\(183\) −7.73736 5.05217i −0.571962 0.373467i
\(184\) 45.2752 42.0093i 3.33773 3.09696i
\(185\) −5.33500 + 13.5934i −0.392237 + 0.999404i
\(186\) −7.74222 18.6256i −0.567687 1.36570i
\(187\) 1.94942 + 4.96704i 0.142556 + 0.363226i
\(188\) −33.7188 + 16.2381i −2.45919 + 1.18429i
\(189\) −9.65124 + 9.79048i −0.702025 + 0.712153i
\(190\) −9.75926 4.69981i −0.708011 0.340960i
\(191\) −0.499894 + 6.67062i −0.0361711 + 0.482669i 0.949475 + 0.313843i \(0.101617\pi\)
−0.985646 + 0.168826i \(0.946002\pi\)
\(192\) −32.1436 + 22.8674i −2.31977 + 1.65032i
\(193\) −3.25801 2.22127i −0.234516 0.159891i 0.440360 0.897821i \(-0.354851\pi\)
−0.674877 + 0.737931i \(0.735803\pi\)
\(194\) 9.53814 24.3028i 0.684799 1.74484i
\(195\) 14.6127 4.82866i 1.04644 0.345787i
\(196\) −33.8103 + 15.0274i −2.41502 + 1.07338i
\(197\) −17.5019 −1.24696 −0.623478 0.781841i \(-0.714281\pi\)
−0.623478 + 0.781841i \(0.714281\pi\)
\(198\) −31.0150 8.22759i −2.20414 0.584709i
\(199\) −4.94588 + 2.38181i −0.350604 + 0.168842i −0.600894 0.799329i \(-0.705188\pi\)
0.250289 + 0.968171i \(0.419474\pi\)
\(200\) −8.76074 8.12878i −0.619478 0.574791i
\(201\) 0.923418 + 3.70362i 0.0651329 + 0.261233i
\(202\) 1.22434 + 16.3377i 0.0861443 + 1.14952i
\(203\) −1.28375 + 5.25315i −0.0901015 + 0.368699i
\(204\) 2.98233 + 11.9614i 0.208805 + 0.837469i
\(205\) −1.17861 3.00304i −0.0823175 0.209742i
\(206\) 39.2432 + 18.8986i 2.73421 + 1.31672i
\(207\) 20.1943 + 5.35708i 1.40360 + 0.372343i
\(208\) 13.8285 + 60.5867i 0.958835 + 4.20093i
\(209\) 8.22792 1.24016i 0.569137 0.0857836i
\(210\) −14.6524 + 18.5505i −1.01111 + 1.28011i
\(211\) 3.84423 + 0.579425i 0.264648 + 0.0398892i 0.280026 0.959993i \(-0.409657\pi\)
−0.0153779 + 0.999882i \(0.504895\pi\)
\(212\) 4.43297 + 59.1539i 0.304458 + 4.06270i
\(213\) −0.992433 + 1.80097i −0.0680004 + 0.123401i
\(214\) 6.31631 10.9402i 0.431774 0.747854i
\(215\) −22.7763 −1.55333
\(216\) −42.6402 17.4755i −2.90130 1.18906i
\(217\) 9.52865 6.28543i 0.646847 0.426683i
\(218\) −0.186485 0.173033i −0.0126303 0.0117192i
\(219\) −4.25931 + 3.03013i −0.287817 + 0.204758i
\(220\) −39.5817 5.96597i −2.66859 0.402226i
\(221\) 6.19052 + 0.933071i 0.416420 + 0.0627652i
\(222\) −3.37952 35.5621i −0.226819 2.38677i
\(223\) 8.04557 + 7.46520i 0.538771 + 0.499907i 0.901966 0.431806i \(-0.142124\pi\)
−0.363195 + 0.931713i \(0.618314\pi\)
\(224\) −35.0653 33.5473i −2.34290 2.24147i
\(225\) 0.741680 3.97412i 0.0494453 0.264941i
\(226\) −23.6052 −1.57020
\(227\) 12.8816 22.3116i 0.854984 1.48088i −0.0216761 0.999765i \(-0.506900\pi\)
0.876660 0.481111i \(-0.159766\pi\)
\(228\) 19.2200 0.383437i 1.27288 0.0253937i
\(229\) 0.767893 + 10.2468i 0.0507438 + 0.677129i 0.963343 + 0.268273i \(0.0864531\pi\)
−0.912599 + 0.408856i \(0.865928\pi\)
\(230\) 35.5238 + 5.35436i 2.34237 + 0.353056i
\(231\) 1.27250 18.1145i 0.0837243 1.19184i
\(232\) −17.9242 + 2.70164i −1.17678 + 0.177372i
\(233\) −2.39729 10.5032i −0.157052 0.688089i −0.990731 0.135840i \(-0.956627\pi\)
0.833679 0.552249i \(-0.186230\pi\)
\(234\) −26.5544 + 26.6872i −1.73592 + 1.74460i
\(235\) −12.1917 5.87123i −0.795301 0.382997i
\(236\) −7.56520 19.2758i −0.492453 1.25475i
\(237\) −15.4726 + 14.9417i −1.00505 + 0.970568i
\(238\) −8.72666 + 4.03946i −0.565665 + 0.261839i
\(239\) 0.00205708 + 0.0274498i 0.000133062 + 0.00177558i 0.997270 0.0738423i \(-0.0235261\pi\)
−0.997137 + 0.0756179i \(0.975907\pi\)
\(240\) −42.5319 12.1958i −2.74542 0.787235i
\(241\) 11.6621 + 10.8209i 0.751224 + 0.697034i 0.959710 0.280991i \(-0.0906632\pi\)
−0.208486 + 0.978025i \(0.566854\pi\)
\(242\) 11.4360 5.50730i 0.735135 0.354022i
\(243\) −2.70695 15.3516i −0.173651 0.984807i
\(244\) 28.1996 1.80529
\(245\) −11.8701 6.17003i −0.758353 0.394189i
\(246\) 5.89099 + 5.25131i 0.375596 + 0.334811i
\(247\) 3.56668 9.08776i 0.226943 0.578240i
\(248\) 31.6143 + 21.5543i 2.00751 + 1.36870i
\(249\) 1.90353 + 20.0305i 0.120631 + 1.26938i
\(250\) 2.44696 32.6525i 0.154760 2.06512i
\(251\) 2.41001 + 1.16060i 0.152118 + 0.0732563i 0.508394 0.861125i \(-0.330239\pi\)
−0.356276 + 0.934381i \(0.615954\pi\)
\(252\) 8.32601 41.1189i 0.524489 2.59025i
\(253\) −24.8639 + 11.9738i −1.56318 + 0.752787i
\(254\) 11.2609 + 28.6924i 0.706573 + 1.80032i
\(255\) −2.70903 + 3.53961i −0.169646 + 0.221659i
\(256\) 7.80532 19.8876i 0.487832 1.24298i
\(257\) −21.8797 + 20.3014i −1.36482 + 1.26636i −0.433981 + 0.900922i \(0.642892\pi\)
−0.930834 + 0.365442i \(0.880918\pi\)
\(258\) 49.7070 25.1711i 3.09462 1.56708i
\(259\) 19.4066 5.66290i 1.20587 0.351876i
\(260\) −29.2819 + 36.7184i −1.81599 + 2.27718i
\(261\) −4.01127 4.63774i −0.248292 0.287069i
\(262\) −6.40501 28.0622i −0.395703 1.73369i
\(263\) −4.35715 + 7.54681i −0.268673 + 0.465356i −0.968520 0.248938i \(-0.919919\pi\)
0.699846 + 0.714294i \(0.253252\pi\)
\(264\) 57.7955 19.0981i 3.55707 1.17541i
\(265\) −15.7227 + 14.5886i −0.965839 + 0.896168i
\(266\) 3.11308 + 14.6690i 0.190875 + 0.899412i
\(267\) −15.8543 + 11.2789i −0.970264 + 0.690260i
\(268\) −8.53872 7.92277i −0.521585 0.483960i
\(269\) −3.58825 + 4.49953i −0.218780 + 0.274341i −0.879094 0.476648i \(-0.841852\pi\)
0.660314 + 0.750989i \(0.270423\pi\)
\(270\) −7.51673 25.7289i −0.457454 1.56581i
\(271\) −6.16784 + 27.0231i −0.374670 + 1.64153i 0.338807 + 0.940856i \(0.389977\pi\)
−0.713477 + 0.700679i \(0.752881\pi\)
\(272\) −13.1941 12.2423i −0.800007 0.742298i
\(273\) −17.6593 11.9195i −1.06879 0.721404i
\(274\) 12.9991 12.0614i 0.785306 0.728658i
\(275\) 2.66998 + 4.62455i 0.161006 + 0.278871i
\(276\) −60.5380 + 20.0043i −3.64396 + 1.20412i
\(277\) 8.71821 + 2.68921i 0.523826 + 0.161579i 0.545380 0.838189i \(-0.316385\pi\)
−0.0215541 + 0.999768i \(0.506861\pi\)
\(278\) 31.5061 + 15.1725i 1.88961 + 0.909988i
\(279\) −0.451702 + 12.9355i −0.0270427 + 0.774427i
\(280\) 4.03395 44.6609i 0.241075 2.66900i
\(281\) 31.3388 4.72357i 1.86952 0.281784i 0.886149 0.463401i \(-0.153371\pi\)
0.983369 + 0.181617i \(0.0581330\pi\)
\(282\) 33.0958 0.660256i 1.97083 0.0393177i
\(283\) 1.05151 2.67920i 0.0625058 0.159262i −0.896209 0.443633i \(-0.853689\pi\)
0.958714 + 0.284371i \(0.0917846\pi\)
\(284\) −0.468944 6.25762i −0.0278267 0.371322i
\(285\) 4.44128 + 5.34683i 0.263079 + 0.316719i
\(286\) 3.71618 49.5890i 0.219742 2.93226i
\(287\) −2.29189 + 3.83319i −0.135286 + 0.226266i
\(288\) 54.0409 10.3648i 3.18439 0.610751i
\(289\) 13.6828 6.58931i 0.804873 0.387606i
\(290\) −7.72903 7.17149i −0.453864 0.421125i
\(291\) −12.0511 + 11.6376i −0.706447 + 0.682209i
\(292\) 5.82777 14.8489i 0.341044 0.868966i
\(293\) −3.32274 5.75516i −0.194117 0.336220i 0.752494 0.658599i \(-0.228851\pi\)
−0.946611 + 0.322379i \(0.895517\pi\)
\(294\) 32.7241 + 0.347299i 1.90851 + 0.0202549i
\(295\) 3.74357 6.48405i 0.217959 0.377516i
\(296\) 42.2500 + 52.9799i 2.45573 + 3.07939i
\(297\) 15.9045 + 13.0773i 0.922871 + 0.758823i
\(298\) 12.8285 56.2054i 0.743137 3.25589i
\(299\) −2.41965 + 32.2880i −0.139932 + 1.86726i
\(300\) 4.73540 + 11.3920i 0.273398 + 0.657720i
\(301\) 19.2805 + 24.9497i 1.11131 + 1.43807i
\(302\) −3.30647 2.25431i −0.190266 0.129721i
\(303\) 3.64493 9.86110i 0.209396 0.566506i
\(304\) −23.1905 + 15.8110i −1.33007 + 0.906824i
\(305\) 6.35720 + 7.97168i 0.364012 + 0.456457i
\(306\) 2.00041 10.7187i 0.114356 0.612748i
\(307\) −17.7877 22.3051i −1.01520 1.27302i −0.961600 0.274454i \(-0.911503\pi\)
−0.0535970 0.998563i \(-0.517069\pi\)
\(308\) 26.9712 + 48.4089i 1.53683 + 2.75835i
\(309\) −17.8590 21.5003i −1.01596 1.22311i
\(310\) 1.66320 + 22.1939i 0.0944637 + 1.26053i
\(311\) −11.1294 + 10.3266i −0.631092 + 0.585568i −0.929478 0.368877i \(-0.879742\pi\)
0.298386 + 0.954445i \(0.403552\pi\)
\(312\) 14.4997 69.9286i 0.820881 3.95893i
\(313\) −5.47808 + 9.48831i −0.309639 + 0.536311i −0.978283 0.207272i \(-0.933542\pi\)
0.668644 + 0.743583i \(0.266875\pi\)
\(314\) 2.64893 + 11.6057i 0.149487 + 0.654948i
\(315\) 13.5008 6.91602i 0.760683 0.389673i
\(316\) 14.6061 63.9937i 0.821660 3.59993i
\(317\) 13.1298 + 12.1827i 0.737444 + 0.684248i 0.956588 0.291445i \(-0.0941359\pi\)
−0.219144 + 0.975693i \(0.570326\pi\)
\(318\) 18.1908 49.2140i 1.02009 2.75978i
\(319\) 8.00891 + 1.20715i 0.448413 + 0.0675873i
\(320\) 41.5927 12.8296i 2.32510 0.717199i
\(321\) −6.60529 + 4.69910i −0.368671 + 0.262278i
\(322\) −24.2062 43.4461i −1.34896 2.42116i
\(323\) 0.629182 + 2.75663i 0.0350086 + 0.153383i
\(324\) 32.5298 + 34.7099i 1.80721 + 1.92833i
\(325\) 6.26523 0.347532
\(326\) −36.2685 11.1874i −2.00873 0.619610i
\(327\) 0.0626586 + 0.150739i 0.00346503 + 0.00833590i
\(328\) −14.8032 2.23122i −0.817367 0.123198i
\(329\) 3.88901 + 18.3252i 0.214408 + 1.01030i
\(330\) 29.6453 + 19.3571i 1.63192 + 1.06557i
\(331\) −6.20470 1.91390i −0.341041 0.105197i 0.119504 0.992834i \(-0.461870\pi\)
−0.460545 + 0.887637i \(0.652346\pi\)
\(332\) −38.2833 48.0057i −2.10107 2.63466i
\(333\) −7.51691 + 21.6552i −0.411924 + 1.18670i
\(334\) 5.55308 6.96334i 0.303851 0.381017i
\(335\) 0.314737 4.19987i 0.0171959 0.229463i
\(336\) 22.6443 + 56.9142i 1.23535 + 3.10493i
\(337\) −0.579902 7.73825i −0.0315892 0.421529i −0.990471 0.137723i \(-0.956022\pi\)
0.958882 0.283807i \(-0.0915973\pi\)
\(338\) −19.2142 13.1000i −1.04511 0.712546i
\(339\) 13.7756 + 6.29866i 0.748189 + 0.342096i
\(340\) 1.01649 13.5642i 0.0551271 0.735621i
\(341\) −10.6596 13.3667i −0.577249 0.723847i
\(342\) −15.6017 6.76066i −0.843641 0.365575i
\(343\) 3.28943 + 18.2258i 0.177613 + 0.984101i
\(344\) −52.8463 + 91.5325i −2.84928 + 4.93510i
\(345\) −19.3024 12.6036i −1.03921 0.678558i
\(346\) −38.6645 26.3610i −2.07862 1.41718i
\(347\) 3.97002 1.22459i 0.213122 0.0657395i −0.186356 0.982482i \(-0.559668\pi\)
0.399478 + 0.916743i \(0.369191\pi\)
\(348\) 17.9873 + 5.15776i 0.964219 + 0.276485i
\(349\) −6.63151 + 4.52129i −0.354977 + 0.242019i −0.727658 0.685941i \(-0.759391\pi\)
0.372681 + 0.927960i \(0.378439\pi\)
\(350\) −8.03327 + 5.29903i −0.429397 + 0.283245i
\(351\) 22.6177 8.48863i 1.20725 0.453089i
\(352\) −45.3169 + 56.8256i −2.41540 + 3.02881i
\(353\) 5.05095 3.44368i 0.268835 0.183289i −0.421398 0.906876i \(-0.638460\pi\)
0.690233 + 0.723587i \(0.257508\pi\)
\(354\) −1.00415 + 18.2880i −0.0533700 + 0.971995i
\(355\) 1.66324 1.54326i 0.0882754 0.0819076i
\(356\) 21.6925 55.2715i 1.14970 2.92938i
\(357\) 6.17060 0.0288004i 0.326583 0.00152428i
\(358\) 0.762576 + 1.94301i 0.0403034 + 0.102691i
\(359\) 7.13699 + 3.43699i 0.376676 + 0.181398i 0.612636 0.790365i \(-0.290109\pi\)
−0.235960 + 0.971763i \(0.575823\pi\)
\(360\) 38.6231 + 33.0705i 2.03561 + 1.74297i
\(361\) −14.5907 −0.767933
\(362\) 24.9680 43.2459i 1.31229 2.27295i
\(363\) −8.14340 + 0.162460i −0.427418 + 0.00852692i
\(364\) 65.0097 + 0.993417i 3.40743 + 0.0520692i
\(365\) 5.51139 1.70004i 0.288479 0.0889841i
\(366\) −22.6838 10.3718i −1.18570 0.542141i
\(367\) −9.61945 24.5099i −0.502131 1.27941i −0.927308 0.374299i \(-0.877883\pi\)
0.425177 0.905110i \(-0.360212\pi\)
\(368\) 58.0396 72.7794i 3.02553 3.79389i
\(369\) −2.03666 4.63649i −0.106024 0.241366i
\(370\) −8.77083 + 38.4275i −0.455974 + 1.99775i
\(371\) 29.2901 + 4.87359i 1.52067 + 0.253024i
\(372\) −20.4277 33.8062i −1.05913 1.75277i
\(373\) 7.82442 + 13.5523i 0.405133 + 0.701711i 0.994337 0.106273i \(-0.0338918\pi\)
−0.589204 + 0.807984i \(0.700558\pi\)
\(374\) 7.20130 + 12.4730i 0.372370 + 0.644964i
\(375\) −10.1408 + 18.4025i −0.523667 + 0.950301i
\(376\) −51.8827 + 35.3730i −2.67565 + 1.82423i
\(377\) 5.92487 7.42955i 0.305146 0.382641i
\(378\) −21.8209 + 30.0138i −1.12235 + 1.54375i
\(379\) 5.53169 + 6.93652i 0.284144 + 0.356305i 0.903335 0.428935i \(-0.141111\pi\)
−0.619192 + 0.785240i \(0.712540\pi\)
\(380\) −20.2691 6.25218i −1.03978 0.320730i
\(381\) 1.08438 19.7492i 0.0555546 1.01178i
\(382\) 1.34931 + 18.0053i 0.0690367 + 0.921230i
\(383\) −2.92653 0.441104i −0.149539 0.0225393i 0.0738462 0.997270i \(-0.476473\pi\)
−0.223385 + 0.974730i \(0.571711\pi\)
\(384\) −30.8876 + 29.8278i −1.57623 + 1.52215i
\(385\) −7.60432 + 18.5375i −0.387552 + 0.944760i
\(386\) −9.58936 4.61799i −0.488086 0.235050i
\(387\) −35.7247 + 1.42597i −1.81599 + 0.0724862i
\(388\) 11.3763 49.8426i 0.577542 2.53038i
\(389\) 0.781255 10.4251i 0.0396112 0.528575i −0.941739 0.336345i \(-0.890809\pi\)
0.981350 0.192230i \(-0.0615719\pi\)
\(390\) 37.0594 18.7665i 1.87658 0.950278i
\(391\) −4.68885 8.12132i −0.237125 0.410713i
\(392\) −52.3373 + 33.3872i −2.64343 + 1.68631i
\(393\) −3.75006 + 18.0857i −0.189166 + 0.912303i
\(394\) −46.7132 + 7.04088i −2.35338 + 0.354715i
\(395\) 21.3830 10.2975i 1.07589 0.518123i
\(396\) −62.4574 6.87953i −3.13860 0.345709i
\(397\) 14.9519 7.20045i 0.750414 0.361380i −0.0192624 0.999814i \(-0.506132\pi\)
0.769677 + 0.638434i \(0.220417\pi\)
\(398\) −12.2426 + 8.34685i −0.613665 + 0.418390i
\(399\) 2.09742 9.39124i 0.105002 0.470150i
\(400\) −14.8827 10.1468i −0.744134 0.507342i
\(401\) −32.7580 4.93747i −1.63586 0.246566i −0.734172 0.678963i \(-0.762430\pi\)
−0.901683 + 0.432398i \(0.857668\pi\)
\(402\) 3.95458 + 9.51363i 0.197237 + 0.474497i
\(403\) −19.8349 + 2.98964i −0.988049 + 0.148924i
\(404\) 7.13906 + 31.2783i 0.355181 + 1.55615i
\(405\) −2.47867 + 17.0206i −0.123166 + 0.845763i
\(406\) −1.31307 + 14.5373i −0.0651666 + 0.721475i
\(407\) −11.0619 28.1852i −0.548317 1.39709i
\(408\) 7.93926 + 19.0997i 0.393052 + 0.945574i
\(409\) 9.70795 9.00766i 0.480027 0.445400i −0.402668 0.915346i \(-0.631917\pi\)
0.882695 + 0.469946i \(0.155727\pi\)
\(410\) −4.35386 7.54110i −0.215022 0.372429i
\(411\) −10.8045 + 3.57025i −0.532945 + 0.176108i
\(412\) 81.5046 + 25.1408i 4.01544 + 1.23860i
\(413\) −10.2718 + 1.38806i −0.505440 + 0.0683019i
\(414\) 56.0544 + 6.17426i 2.75493 + 0.303448i
\(415\) 4.94020 21.6444i 0.242505 1.06248i
\(416\) 31.1550 + 79.3816i 1.52750 + 3.89200i
\(417\) −14.3379 17.2613i −0.702130 0.845290i
\(418\) 21.4618 6.62008i 1.04973 0.323798i
\(419\) −0.572181 + 0.176494i −0.0279529 + 0.00862232i −0.308700 0.951159i \(-0.599894\pi\)
0.280747 + 0.959782i \(0.409418\pi\)
\(420\) −22.9582 + 40.1968i −1.12024 + 1.96140i
\(421\) 32.8539 + 10.1341i 1.60120 + 0.493906i 0.961521 0.274733i \(-0.0885895\pi\)
0.639683 + 0.768639i \(0.279066\pi\)
\(422\) 10.4935 0.510816
\(423\) −19.4903 8.44574i −0.947653 0.410646i
\(424\) 22.1475 + 97.0347i 1.07558 + 4.71242i
\(425\) −1.49928 + 1.02219i −0.0727256 + 0.0495835i
\(426\) −1.92433 + 5.20612i −0.0932339 + 0.252238i
\(427\) 3.35088 13.7120i 0.162161 0.663568i
\(428\) 9.03763 23.0275i 0.436850 1.11308i
\(429\) −15.4007 + 27.9477i −0.743552 + 1.34933i
\(430\) −60.7909 + 9.16276i −2.93160 + 0.441867i
\(431\) 13.5408 + 6.52090i 0.652237 + 0.314101i 0.730582 0.682826i \(-0.239249\pi\)
−0.0783444 + 0.996926i \(0.524963\pi\)
\(432\) −67.4748 16.4663i −3.24638 0.792235i
\(433\) −25.1961 + 12.1338i −1.21085 + 0.583114i −0.926749 0.375681i \(-0.877409\pi\)
−0.284100 + 0.958795i \(0.591695\pi\)
\(434\) 22.9038 20.6094i 1.09942 0.989282i
\(435\) 2.59694 + 6.24753i 0.124514 + 0.299546i
\(436\) −0.411602 0.280625i −0.0197122 0.0134395i
\(437\) −13.9740 + 4.31041i −0.668467 + 0.206195i
\(438\) −10.1493 + 9.80105i −0.484951 + 0.468312i
\(439\) 30.6155 4.61455i 1.46120 0.220240i 0.630165 0.776461i \(-0.282987\pi\)
0.831035 + 0.556221i \(0.187749\pi\)
\(440\) −67.1626 −3.20185
\(441\) −19.0046 8.93455i −0.904980 0.425455i
\(442\) 16.8981 0.803762
\(443\) 6.65455 1.00301i 0.316167 0.0476545i 0.0109583 0.999940i \(-0.496512\pi\)
0.305209 + 0.952285i \(0.401274\pi\)
\(444\) −16.9231 67.8746i −0.803133 3.22118i
\(445\) 20.5148 6.32799i 0.972496 0.299975i
\(446\) 24.4772 + 16.6883i 1.15903 + 0.790212i
\(447\) −22.4840 + 29.3775i −1.06346 + 1.38951i
\(448\) −49.2627 34.7011i −2.32744 1.63947i
\(449\) 1.67845 0.808297i 0.0792108 0.0381459i −0.393859 0.919171i \(-0.628860\pi\)
0.473070 + 0.881025i \(0.343146\pi\)
\(450\) 0.380814 10.9055i 0.0179518 0.514088i
\(451\) 6.02663 + 2.90227i 0.283783 + 0.136663i
\(452\) −45.7081 + 6.88939i −2.14993 + 0.324050i
\(453\) 1.32807 + 2.19785i 0.0623984 + 0.103264i
\(454\) 25.4058 64.7329i 1.19235 3.03807i
\(455\) 14.3747 + 18.6014i 0.673896 + 0.872047i
\(456\) 31.7924 5.44256i 1.48882 0.254871i
\(457\) 4.61471 3.14626i 0.215867 0.147176i −0.450559 0.892746i \(-0.648775\pi\)
0.666426 + 0.745571i \(0.267823\pi\)
\(458\) 6.17177 + 27.0403i 0.288388 + 1.26351i
\(459\) −4.02751 + 5.72149i −0.187988 + 0.267056i
\(460\) 70.3495 3.28006
\(461\) 4.12060 + 1.27104i 0.191916 + 0.0591981i 0.389223 0.921144i \(-0.372744\pi\)
−0.197307 + 0.980342i \(0.563220\pi\)
\(462\) −3.89098 48.8602i −0.181025 2.27318i
\(463\) −24.8452 + 7.66373i −1.15465 + 0.356164i −0.812205 0.583372i \(-0.801733\pi\)
−0.342450 + 0.939536i \(0.611257\pi\)
\(464\) −26.1067 + 8.05284i −1.21197 + 0.373844i
\(465\) 4.95145 13.3958i 0.229618 0.621215i
\(466\) −10.6238 27.0691i −0.492140 1.25395i
\(467\) −5.12701 + 22.4629i −0.237250 + 1.03946i 0.706218 + 0.707995i \(0.250400\pi\)
−0.943468 + 0.331465i \(0.892457\pi\)
\(468\) −43.6299 + 59.4261i −2.01679 + 2.74697i
\(469\) −4.86706 + 3.21048i −0.224740 + 0.148246i
\(470\) −34.9022 10.7659i −1.60992 0.496594i
\(471\) 1.55091 7.47972i 0.0714624 0.344647i
\(472\) −17.3719 30.0890i −0.799607 1.38496i
\(473\) 34.6188 32.1216i 1.59177 1.47695i
\(474\) −35.2860 + 46.1046i −1.62074 + 2.11765i
\(475\) 1.03380 + 2.63407i 0.0474339 + 0.120860i
\(476\) −15.7190 + 10.3688i −0.720478 + 0.475252i
\(477\) −23.7478 + 23.8665i −1.08734 + 1.09277i
\(478\) 0.0165333 + 0.0724372i 0.000756217 + 0.00331320i
\(479\) −30.1494 + 4.54430i −1.37756 + 0.207634i −0.795719 0.605666i \(-0.792907\pi\)
−0.581844 + 0.813300i \(0.697669\pi\)
\(480\) −60.2055 7.84983i −2.74799 0.358294i
\(481\) −35.1278 5.29466i −1.60169 0.241416i
\(482\) 35.4799 + 24.1898i 1.61607 + 1.10181i
\(483\) 2.53346 + 31.8135i 0.115276 + 1.44756i
\(484\) 20.5369 14.0018i 0.933493 0.636445i
\(485\) 16.6545 8.02039i 0.756243 0.364187i
\(486\) −13.4008 39.8852i −0.607874 1.80923i
\(487\) −20.7532 + 9.99423i −0.940419 + 0.452882i −0.840317 0.542095i \(-0.817631\pi\)
−0.100102 + 0.994977i \(0.531917\pi\)
\(488\) 46.7864 7.05192i 2.11792 0.319225i
\(489\) 18.1805 + 16.2064i 0.822153 + 0.732878i
\(490\) −34.1640 11.6928i −1.54337 0.528228i
\(491\) −2.00079 3.46547i −0.0902943 0.156394i 0.817341 0.576155i \(-0.195447\pi\)
−0.907635 + 0.419760i \(0.862114\pi\)
\(492\) 12.9397 + 8.44907i 0.583366 + 0.380913i
\(493\) −0.205676 + 2.74456i −0.00926319 + 0.123609i
\(494\) 5.86368 25.6905i 0.263820 1.15587i
\(495\) −12.1354 19.2068i −0.545445 0.863283i
\(496\) 51.9586 + 25.0219i 2.33301 + 1.12352i
\(497\) −3.09847 0.515555i −0.138986 0.0231258i
\(498\) 13.1387 + 52.6965i 0.588761 + 2.36138i
\(499\) −10.4789 1.57944i −0.469100 0.0707055i −0.0897614 0.995963i \(-0.528610\pi\)
−0.379339 + 0.925258i \(0.623849\pi\)
\(500\) −4.79171 63.9410i −0.214292 2.85953i
\(501\) −5.09873 + 2.58195i −0.227795 + 0.115353i
\(502\) 6.89931 + 2.12816i 0.307931 + 0.0949843i
\(503\) 19.1141 + 23.9683i 0.852255 + 1.06869i 0.996858 + 0.0792046i \(0.0252380\pi\)
−0.144603 + 0.989490i \(0.546191\pi\)
\(504\) 3.53115 70.3032i 0.157290 3.13155i
\(505\) −7.23258 + 9.06937i −0.321845 + 0.403581i
\(506\) −61.5457 + 41.9612i −2.73604 + 1.86540i
\(507\) 7.71755 + 12.7719i 0.342749 + 0.567220i
\(508\) 30.1793 + 52.2720i 1.33899 + 2.31920i
\(509\) 6.93499 + 12.0118i 0.307388 + 0.532412i 0.977790 0.209586i \(-0.0672117\pi\)
−0.670402 + 0.741998i \(0.733878\pi\)
\(510\) −5.80655 + 10.5372i −0.257119 + 0.466595i
\(511\) −6.52773 4.59819i −0.288770 0.203412i
\(512\) 1.79915 7.88260i 0.0795120 0.348365i
\(513\) 7.30091 + 8.10845i 0.322343 + 0.357997i
\(514\) −50.2306 + 62.9872i −2.21558 + 2.77825i
\(515\) 11.2671 + 28.7080i 0.496486 + 1.26503i
\(516\) 88.9041 63.2476i 3.91378 2.78432i
\(517\) 26.8110 8.27011i 1.17915 0.363719i
\(518\) 49.5190 22.9217i 2.17574 1.00712i
\(519\) 15.5300 + 25.7008i 0.681691 + 1.12814i
\(520\) −39.3999 + 68.2427i −1.72780 + 2.99264i
\(521\) −30.0013 −1.31438 −0.657190 0.753725i \(-0.728255\pi\)
−0.657190 + 0.753725i \(0.728255\pi\)
\(522\) −12.5720 10.7646i −0.550261 0.471154i
\(523\) −39.9513 19.2396i −1.74695 0.841287i −0.979843 0.199768i \(-0.935981\pi\)
−0.767107 0.641519i \(-0.778304\pi\)
\(524\) −20.5926 52.4690i −0.899591 2.29212i
\(525\) 6.10204 0.948883i 0.266315 0.0414126i
\(526\) −8.59339 + 21.8956i −0.374690 + 0.954694i
\(527\) 4.25876 3.95155i 0.185514 0.172132i
\(528\) 81.8460 41.4460i 3.56189 1.80370i
\(529\) 21.0697 14.3650i 0.916072 0.624567i
\(530\) −36.0957 + 45.2626i −1.56790 + 1.96608i
\(531\) 5.46584 10.4046i 0.237197 0.451522i
\(532\) 10.3093 + 27.4958i 0.446965 + 1.19209i
\(533\) 6.48438 4.42098i 0.280870 0.191494i
\(534\) −37.7782 + 36.4821i −1.63482 + 1.57873i
\(535\) 8.54700 2.63640i 0.369519 0.113982i
\(536\) −16.1480 11.0095i −0.697488 0.475539i
\(537\) 0.0734330 1.33739i 0.00316887 0.0577127i
\(538\) −7.76707 + 13.4530i −0.334862 + 0.579998i
\(539\) 26.7436 7.36235i 1.15193 0.317119i
\(540\) −22.0643 47.6264i −0.949494 2.04951i
\(541\) 26.8899 + 33.7188i 1.15609 + 1.44968i 0.871068 + 0.491163i \(0.163428\pi\)
0.285017 + 0.958522i \(0.408001\pi\)
\(542\) −5.59102 + 74.6070i −0.240155 + 3.20465i
\(543\) −26.1104 + 18.5753i −1.12050 + 0.797142i
\(544\) −20.4067 13.9131i −0.874932 0.596518i
\(545\) −0.0134605 0.179618i −0.000576584 0.00769398i
\(546\) −51.9286 24.7096i −2.22234 1.05747i
\(547\) −0.280367 + 3.74123i −0.0119876 + 0.159964i 0.987997 + 0.154471i \(0.0493674\pi\)
−0.999985 + 0.00549249i \(0.998252\pi\)
\(548\) 21.6507 27.1491i 0.924872 1.15975i
\(549\) 10.4704 + 12.1056i 0.446864 + 0.516654i
\(550\) 8.98673 + 11.2690i 0.383195 + 0.480512i
\(551\) 4.10122 + 1.26506i 0.174718 + 0.0538933i
\(552\) −95.4371 + 48.3284i −4.06207 + 2.05699i
\(553\) −29.3811 14.7064i −1.24941 0.625380i
\(554\) 24.3511 + 3.67034i 1.03458 + 0.155938i
\(555\) 15.3722 20.0853i 0.652515 0.852574i
\(556\) 65.4352 + 20.1841i 2.77507 + 0.855996i
\(557\) −21.7646 −0.922197 −0.461098 0.887349i \(-0.652544\pi\)
−0.461098 + 0.887349i \(0.652544\pi\)
\(558\) 3.99825 + 34.7071i 0.169259 + 1.46927i
\(559\) −12.3295 54.0192i −0.521484 2.28477i
\(560\) −4.02038 67.4670i −0.169892 2.85100i
\(561\) −0.874346 9.20059i −0.0369149 0.388449i
\(562\) 81.7444 25.2148i 3.44818 1.06362i
\(563\) −2.63715 0.397486i −0.111143 0.0167521i 0.0932354 0.995644i \(-0.470279\pi\)
−0.204378 + 0.978892i \(0.565517\pi\)
\(564\) 63.8925 10.9378i 2.69036 0.460564i
\(565\) −12.2518 11.3680i −0.515437 0.478256i
\(566\) 1.72870 7.57393i 0.0726627 0.318356i
\(567\) 20.7430 11.6930i 0.871125 0.491062i
\(568\) −2.34289 10.2649i −0.0983055 0.430704i
\(569\) 16.3036 28.2386i 0.683481 1.18382i −0.290431 0.956896i \(-0.593799\pi\)
0.973912 0.226927i \(-0.0728679\pi\)
\(570\) 14.0050 + 12.4842i 0.586603 + 0.522906i
\(571\) 2.41893 2.24444i 0.101229 0.0939267i −0.627935 0.778266i \(-0.716100\pi\)
0.729164 + 0.684339i \(0.239909\pi\)
\(572\) −7.27713 97.1065i −0.304272 4.06023i
\(573\) 4.01697 10.8676i 0.167811 0.454001i
\(574\) −4.57508 + 11.1530i −0.190960 + 0.465516i
\(575\) −5.85136 7.33738i −0.244019 0.305990i
\(576\) 64.4350 22.7273i 2.68479 0.946973i
\(577\) 19.1296 + 23.9877i 0.796375 + 0.998623i 0.999809 + 0.0195340i \(0.00621825\pi\)
−0.203434 + 0.979089i \(0.565210\pi\)
\(578\) 33.8692 23.0917i 1.40877 0.960486i
\(579\) 4.36396 + 5.25374i 0.181360 + 0.218338i
\(580\) −17.0592 11.6308i −0.708345 0.482942i
\(581\) −27.8917 + 12.9107i −1.15714 + 0.535627i
\(582\) −27.4831 + 35.9094i −1.13921 + 1.48849i
\(583\) 3.32340 44.3477i 0.137641 1.83669i
\(584\) 5.95566 26.0935i 0.246447 1.07975i
\(585\) −26.6348 + 1.06314i −1.10121 + 0.0439555i
\(586\) −11.1838 14.0240i −0.461998 0.579328i
\(587\) −2.34163 + 4.05582i −0.0966495 + 0.167402i −0.910296 0.413958i \(-0.864146\pi\)
0.813646 + 0.581360i \(0.197479\pi\)
\(588\) 63.4669 8.87832i 2.61733 0.366136i
\(589\) −4.52980 7.84585i −0.186647 0.323283i
\(590\) 7.38325 18.8122i 0.303964 0.774487i
\(591\) 29.1398 + 8.35568i 1.19865 + 0.343707i
\(592\) 74.8690 + 69.4682i 3.07710 + 2.85513i
\(593\) 2.38705 1.14954i 0.0980242 0.0472060i −0.384229 0.923238i \(-0.625533\pi\)
0.482253 + 0.876032i \(0.339818\pi\)
\(594\) 47.7106 + 28.5057i 1.95759 + 1.16960i
\(595\) −6.47475 2.10606i −0.265439 0.0863402i
\(596\) 8.43654 112.578i 0.345574 4.61137i
\(597\) 9.37178 1.60436i 0.383562 0.0656620i
\(598\) 6.53109 + 87.1514i 0.267076 + 3.56389i
\(599\) −6.76005 + 17.2243i −0.276208 + 0.703767i 0.723699 + 0.690116i \(0.242441\pi\)
−0.999907 + 0.0136509i \(0.995655\pi\)
\(600\) 10.7054 + 17.7166i 0.437047 + 0.723276i
\(601\) −10.3925 + 1.56641i −0.423918 + 0.0638953i −0.357537 0.933899i \(-0.616383\pi\)
−0.0663810 + 0.997794i \(0.521145\pi\)
\(602\) 61.4975 + 58.8353i 2.50645 + 2.39795i
\(603\) 0.230721 6.60721i 0.00939569 0.269066i
\(604\) −7.06044 3.40013i −0.287285 0.138349i
\(605\) 8.58788 + 2.64901i 0.349147 + 0.107698i
\(606\) 5.76142 27.7860i 0.234042 1.12873i
\(607\) 2.95637 + 5.12058i 0.119995 + 0.207838i 0.919766 0.392468i \(-0.128379\pi\)
−0.799770 + 0.600306i \(0.795045\pi\)
\(608\) −28.2334 + 26.1968i −1.14502 + 1.06242i
\(609\) 4.64533 8.13337i 0.188238 0.329581i
\(610\) 20.1746 + 18.7193i 0.816845 + 0.757922i
\(611\) 7.32519 32.0938i 0.296346 1.29837i
\(612\) 0.745152 21.3391i 0.0301210 0.862581i
\(613\) 17.9784 22.5442i 0.726141 0.910552i −0.272527 0.962148i \(-0.587859\pi\)
0.998668 + 0.0515957i \(0.0164307\pi\)
\(614\) −56.4493 52.3773i −2.27811 2.11378i
\(615\) 0.528624 + 5.56262i 0.0213162 + 0.224306i
\(616\) 56.8541 + 73.5714i 2.29072 + 2.96427i
\(617\) 11.4654 10.6383i 0.461578 0.428282i −0.414795 0.909915i \(-0.636147\pi\)
0.876373 + 0.481633i \(0.159956\pi\)
\(618\) −56.3157 50.2006i −2.26535 2.01936i
\(619\) −11.8112 + 20.4576i −0.474732 + 0.822261i −0.999581 0.0289348i \(-0.990788\pi\)
0.524849 + 0.851195i \(0.324122\pi\)
\(620\) 9.69804 + 42.4899i 0.389483 + 1.70644i
\(621\) −31.0650 18.5604i −1.24659 0.744802i
\(622\) −25.5506 + 32.0395i −1.02449 + 1.28467i
\(623\) −24.2979 17.1157i −0.973476 0.685724i
\(624\) 5.90126 107.476i 0.236239 4.30248i
\(625\) 12.0559 11.1862i 0.482235 0.447449i
\(626\) −10.8041 + 27.5285i −0.431820 + 1.10026i
\(627\) −14.2912 1.86334i −0.570735 0.0744146i
\(628\) 8.51649 + 21.6997i 0.339845 + 0.865910i
\(629\) 9.26996 4.46418i 0.369617 0.177998i
\(630\) 33.2519 23.8904i 1.32479 0.951817i
\(631\) −32.7739 15.7831i −1.30471 0.628314i −0.353087 0.935591i \(-0.614868\pi\)
−0.951620 + 0.307277i \(0.900582\pi\)
\(632\) 8.23030 109.826i 0.327384 4.36863i
\(633\) −6.12384 2.80002i −0.243401 0.111291i
\(634\) 39.9450 + 27.2341i 1.58642 + 1.08160i
\(635\) −7.97317 + 20.3153i −0.316406 + 0.806188i
\(636\) 20.8604 100.605i 0.827167 3.98924i
\(637\) 8.20798 31.4927i 0.325212 1.24779i
\(638\) 21.8617 0.865515
\(639\) 2.51217 2.52473i 0.0993799 0.0998770i
\(640\) 42.6864 20.5567i 1.68733 0.812575i
\(641\) 9.78660 + 9.08064i 0.386548 + 0.358664i 0.849380 0.527782i \(-0.176976\pi\)
−0.462832 + 0.886446i \(0.653167\pi\)
\(642\) −15.7394 + 15.1994i −0.621184 + 0.599871i
\(643\) 1.32966 + 17.7431i 0.0524367 + 0.699719i 0.960035 + 0.279880i \(0.0902946\pi\)
−0.907598 + 0.419840i \(0.862086\pi\)
\(644\) −59.5519 77.0624i −2.34667 3.03668i
\(645\) 37.9215 + 10.8738i 1.49316 + 0.428155i
\(646\) 2.78829 + 7.10444i 0.109704 + 0.279520i
\(647\) 15.5940 + 7.50969i 0.613065 + 0.295236i 0.714532 0.699602i \(-0.246640\pi\)
−0.101468 + 0.994839i \(0.532354\pi\)
\(648\) 62.6508 + 49.4530i 2.46116 + 1.94270i
\(649\) 3.45447 + 15.1350i 0.135600 + 0.594101i
\(650\) 16.7222 2.52046i 0.655897 0.0988606i
\(651\) −18.8655 + 5.91582i −0.739399 + 0.231859i
\(652\) −73.4939 11.0774i −2.87824 0.433825i
\(653\) 1.53345 + 20.4625i 0.0600086 + 0.800759i 0.943301 + 0.331937i \(0.107702\pi\)
−0.883293 + 0.468822i \(0.844679\pi\)
\(654\) 0.227880 + 0.377122i 0.00891081 + 0.0147466i
\(655\) 10.1900 17.6497i 0.398158 0.689630i
\(656\) −22.5633 −0.880947
\(657\) 8.53819 3.01157i 0.333107 0.117493i
\(658\) 17.7520 + 47.3461i 0.692046 + 1.84574i
\(659\) −5.46742 5.07302i −0.212980 0.197617i 0.566467 0.824084i \(-0.308310\pi\)
−0.779448 + 0.626467i \(0.784500\pi\)
\(660\) 63.0534 + 28.8300i 2.45435 + 1.12221i
\(661\) 4.54051 + 0.684372i 0.176605 + 0.0266190i 0.236750 0.971571i \(-0.423918\pi\)
−0.0601441 + 0.998190i \(0.519156\pi\)
\(662\) −17.3306 2.61216i −0.673571 0.101525i
\(663\) −9.86147 4.50898i −0.382988 0.175114i
\(664\) −75.5214 70.0736i −2.93080 2.71938i
\(665\) −5.44863 + 9.11285i −0.211289 + 0.353381i
\(666\) −11.3512 + 60.8227i −0.439850 + 2.35683i
\(667\) −14.2344 −0.551160
\(668\) 8.72042 15.1042i 0.337403 0.584400i
\(669\) −9.83150 16.2703i −0.380108 0.629047i
\(670\) −0.849534 11.3362i −0.0328204 0.437957i
\(671\) −20.9051 3.15094i −0.807033 0.121641i
\(672\) 42.3660 + 72.5955i 1.63430 + 2.80043i
\(673\) −37.2207 + 5.61011i −1.43475 + 0.216254i −0.819953 0.572431i \(-0.806001\pi\)
−0.614798 + 0.788685i \(0.710762\pi\)
\(674\) −4.66083 20.4204i −0.179528 0.786565i
\(675\) −3.13217 + 6.26263i −0.120557 + 0.241049i
\(676\) −41.0288 19.7584i −1.57803 0.759939i
\(677\) 7.80722 + 19.8925i 0.300056 + 0.764530i 0.998791 + 0.0491500i \(0.0156512\pi\)
−0.698735 + 0.715380i \(0.746254\pi\)
\(678\) 39.3016 + 11.2695i 1.50937 + 0.432804i
\(679\) −22.8840 11.4543i −0.878208 0.439577i
\(680\) −1.70553 22.7588i −0.0654042 0.872759i
\(681\) −32.0993 + 30.9980i −1.23005 + 1.18784i
\(682\) −33.8282 31.3880i −1.29535 1.20191i
\(683\) −4.88510 + 2.35254i −0.186923 + 0.0900175i −0.525005 0.851099i \(-0.675936\pi\)
0.338081 + 0.941117i \(0.390222\pi\)
\(684\) −32.1835 8.53756i −1.23057 0.326442i
\(685\) 12.5556 0.479724
\(686\) 16.1117 + 47.3221i 0.615149 + 1.80677i
\(687\) 3.61350 17.4271i 0.137864 0.664885i
\(688\) −58.1986 + 148.288i −2.21880 + 5.65341i
\(689\) −43.1113 29.3928i −1.64241 1.11978i
\(690\) −56.5893 25.8744i −2.15432 0.985023i
\(691\) −3.82284 + 51.0123i −0.145428 + 1.94060i 0.157362 + 0.987541i \(0.449701\pi\)
−0.302790 + 0.953057i \(0.597918\pi\)
\(692\) −82.5620 39.7597i −3.13853 1.51144i
\(693\) −10.7668 + 29.5522i −0.408997 + 1.12260i
\(694\) 10.1035 4.86560i 0.383524 0.184696i
\(695\) 9.04566 + 23.0480i 0.343121 + 0.874259i
\(696\) 31.1328 + 4.05922i 1.18009 + 0.153864i
\(697\) −0.830426 + 2.11589i −0.0314546 + 0.0801451i
\(698\) −15.8809 + 14.7353i −0.601101 + 0.557740i
\(699\) −1.02303 + 18.6319i −0.0386947 + 0.704723i
\(700\) −14.0087 + 12.6054i −0.529479 + 0.476439i
\(701\) 10.0162 12.5599i 0.378306 0.474380i −0.555831 0.831295i \(-0.687600\pi\)
0.934137 + 0.356915i \(0.116171\pi\)
\(702\) 56.9528 31.7555i 2.14955 1.19853i
\(703\) −3.57026 15.6423i −0.134655 0.589961i
\(704\) −45.1250 + 78.1588i −1.70071 + 2.94572i
\(705\) 17.4957 + 15.5959i 0.658924 + 0.587374i
\(706\) 12.0958 11.2233i 0.455233 0.422395i
\(707\) 16.0573 + 0.245372i 0.603896 + 0.00922817i
\(708\) 3.39311 + 35.7051i 0.127521 + 1.34188i
\(709\) −15.3697 14.2610i −0.577222 0.535584i 0.336627 0.941638i \(-0.390714\pi\)
−0.913849 + 0.406054i \(0.866904\pi\)
\(710\) 3.81841 4.78813i 0.143302 0.179695i
\(711\) 32.8945 17.4904i 1.23364 0.655941i
\(712\) 22.1685 97.1266i 0.830800 3.63997i
\(713\) 22.0260 + 20.4371i 0.824878 + 0.765375i
\(714\) 16.4580 2.55926i 0.615925 0.0957779i
\(715\) 25.8103 23.9485i 0.965250 0.895621i
\(716\) 2.04370 + 3.53980i 0.0763768 + 0.132288i
\(717\) 0.00968007 0.0466848i 0.000361509 0.00174348i
\(718\) 20.4316 + 6.30232i 0.762501 + 0.235200i
\(719\) 33.4616 + 16.1143i 1.24791 + 0.600960i 0.936950 0.349464i \(-0.113636\pi\)
0.310957 + 0.950424i \(0.399351\pi\)
\(720\) 64.9911 + 40.6109i 2.42208 + 1.51348i
\(721\) 21.9096 36.6439i 0.815957 1.36469i
\(722\) −38.9433 + 5.86976i −1.44932 + 0.218450i
\(723\) −14.2508 23.5840i −0.529995 0.877097i
\(724\) 35.7253 91.0266i 1.32772 3.38298i
\(725\) 0.205833 + 2.74666i 0.00764446 + 0.102008i
\(726\) −21.6697 + 3.70965i −0.804239 + 0.137678i
\(727\) −3.18248 + 42.4672i −0.118032 + 1.57502i 0.552738 + 0.833355i \(0.313583\pi\)
−0.670769 + 0.741666i \(0.734036\pi\)
\(728\) 108.107 14.6089i 4.00672 0.541442i
\(729\) −2.82217 + 26.8521i −0.104525 + 0.994522i
\(730\) 14.0262 6.75467i 0.519134 0.250002i
\(731\) 11.7639 + 10.9153i 0.435102 + 0.403716i
\(732\) −46.9510 13.4630i −1.73536 0.497605i
\(733\) −8.42971 + 21.4786i −0.311359 + 0.793329i 0.686451 + 0.727176i \(0.259168\pi\)
−0.997810 + 0.0661525i \(0.978928\pi\)
\(734\) −35.5349 61.5483i −1.31162 2.27179i
\(735\) 16.8175 + 15.9398i 0.620323 + 0.587949i
\(736\) 63.8690 110.624i 2.35424 4.07766i
\(737\) 5.44472 + 6.82746i 0.200559 + 0.251493i
\(738\) −7.30117 11.5557i −0.268760 0.425369i
\(739\) −0.632477 + 2.77106i −0.0232661 + 0.101935i −0.985228 0.171249i \(-0.945220\pi\)
0.961962 + 0.273184i \(0.0880769\pi\)
\(740\) −5.76804 + 76.9692i −0.212037 + 2.82944i
\(741\) −10.2770 + 13.4279i −0.377536 + 0.493287i
\(742\) 80.1372 + 1.22458i 2.94193 + 0.0449558i
\(743\) −28.6572 19.5382i −1.05133 0.716786i −0.0910584 0.995846i \(-0.529025\pi\)
−0.960274 + 0.279059i \(0.909977\pi\)
\(744\) −42.3460 50.9801i −1.55248 1.86902i
\(745\) 33.7263 22.9942i 1.23564 0.842442i
\(746\) 26.3357 + 33.0239i 0.964219 + 1.20909i
\(747\) 6.39361 34.2586i 0.233930 1.25346i
\(748\) 17.5846 + 22.0504i 0.642958 + 0.806243i
\(749\) −10.1231 7.13082i −0.369891 0.260555i
\(750\) −19.6629 + 53.1966i −0.717988 + 1.94247i
\(751\) 1.33799 + 17.8542i 0.0488239 + 0.651509i 0.966908 + 0.255124i \(0.0821164\pi\)
−0.918084 + 0.396385i \(0.870265\pi\)
\(752\) −69.3779 + 64.3733i −2.52995 + 2.34745i
\(753\) −3.45846 3.08292i −0.126033 0.112348i
\(754\) 12.8249 22.2133i 0.467054 0.808962i
\(755\) −0.630502 2.76241i −0.0229463 0.100534i
\(756\) −33.4933 + 64.4861i −1.21814 + 2.34534i
\(757\) 5.83803 25.5781i 0.212187 0.929652i −0.750890 0.660427i \(-0.770375\pi\)
0.963077 0.269225i \(-0.0867675\pi\)
\(758\) 17.5548 + 16.2885i 0.637620 + 0.591625i
\(759\) 47.1137 8.06541i 1.71012 0.292756i
\(760\) −35.1923 5.30439i −1.27656 0.192410i
\(761\) 44.9175 13.8552i 1.62826 0.502251i 0.659803 0.751439i \(-0.270640\pi\)
0.968455 + 0.249188i \(0.0801636\pi\)
\(762\) −5.05070 53.1476i −0.182968 1.92534i
\(763\) −0.185363 + 0.166794i −0.00671058 + 0.00603835i
\(764\) 7.86774 + 34.4708i 0.284645 + 1.24711i
\(765\) 6.20028 4.59995i 0.224172 0.166312i
\(766\) −7.98849 −0.288636
\(767\) 17.4049 + 5.36871i 0.628455 + 0.193853i
\(768\) −22.4902 + 29.3856i −0.811545 + 1.06036i
\(769\) −17.5838 2.65033i −0.634089 0.0955735i −0.175871 0.984413i \(-0.556274\pi\)
−0.458218 + 0.888840i \(0.651512\pi\)
\(770\) −12.8387 + 52.5366i −0.462676 + 1.89329i
\(771\) 46.1208 23.3551i 1.66100 0.841114i
\(772\) −19.9162 6.14334i −0.716800 0.221104i
\(773\) 8.56650 + 10.7421i 0.308116 + 0.386365i 0.911647 0.410975i