Properties

Label 441.2.bd.a.110.49
Level $441$
Weight $2$
Character 441.110
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.bd (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 110.49
Character \(\chi\) \(=\) 441.110
Dual form 441.2.bd.a.437.49

$q$-expansion

\(f(q)\) \(=\) \(q+(2.28939 - 0.171566i) q^{2} +(0.623167 - 1.61606i) q^{3} +(3.23419 - 0.487476i) q^{4} +(0.442795 + 1.94001i) q^{5} +(1.14941 - 3.80671i) q^{6} +(2.56732 - 0.639424i) q^{7} +(2.84419 - 0.649167i) q^{8} +(-2.22333 - 2.01416i) q^{9} +O(q^{10})\) \(q+(2.28939 - 0.171566i) q^{2} +(0.623167 - 1.61606i) q^{3} +(3.23419 - 0.487476i) q^{4} +(0.442795 + 1.94001i) q^{5} +(1.14941 - 3.80671i) q^{6} +(2.56732 - 0.639424i) q^{7} +(2.84419 - 0.649167i) q^{8} +(-2.22333 - 2.01416i) q^{9} +(1.34657 + 4.36546i) q^{10} +(-1.84568 + 3.83259i) q^{11} +(1.22765 - 5.53044i) q^{12} +(-4.17934 + 0.313198i) q^{13} +(5.76788 - 1.90435i) q^{14} +(3.41112 + 0.493366i) q^{15} +(0.149238 - 0.0460337i) q^{16} +(1.78250 + 0.268669i) q^{17} +(-5.43561 - 4.22973i) q^{18} +(-5.84088 - 3.37223i) q^{19} +(2.37779 + 6.05851i) q^{20} +(0.566521 - 4.54742i) q^{21} +(-3.56793 + 9.09094i) q^{22} +(3.85793 - 3.07660i) q^{23} +(0.723308 - 5.00092i) q^{24} +(0.937269 - 0.451365i) q^{25} +(-9.51439 + 1.43406i) q^{26} +(-4.64051 + 2.33788i) q^{27} +(7.99150 - 3.31952i) q^{28} +(0.822724 - 0.322895i) q^{29} +(7.89401 + 0.544275i) q^{30} +(-8.22765 - 4.75023i) q^{31} +(-5.09757 + 2.00065i) q^{32} +(5.04355 + 5.37108i) q^{33} +(4.12692 + 0.309270i) q^{34} +(2.37729 + 4.69750i) q^{35} +(-8.17251 - 5.43035i) q^{36} +(2.25356 + 5.74197i) q^{37} +(-13.9506 - 6.71824i) q^{38} +(-2.09828 + 6.94926i) q^{39} +(2.51878 + 5.23030i) q^{40} +(7.66437 - 7.11150i) q^{41} +(0.516803 - 10.5080i) q^{42} +(5.11074 + 4.74207i) q^{43} +(-4.10098 + 13.2951i) q^{44} +(2.92301 - 5.20513i) q^{45} +(8.30445 - 7.70541i) q^{46} +(0.524137 + 6.99413i) q^{47} +(0.0186066 - 0.269864i) q^{48} +(6.18228 - 3.28321i) q^{49} +(2.06833 - 1.19415i) q^{50} +(1.54498 - 2.71321i) q^{51} +(-13.3641 + 3.05027i) q^{52} +(0.0150128 + 0.00589210i) q^{53} +(-10.2228 + 6.14846i) q^{54} +(-8.25253 - 1.88359i) q^{55} +(6.88684 - 3.48526i) q^{56} +(-9.08958 + 7.33776i) q^{57} +(1.82813 - 0.880383i) q^{58} +(-5.74936 - 5.33462i) q^{59} +(11.2727 - 0.0671958i) q^{60} +(-1.68588 + 11.1851i) q^{61} +(-19.6512 - 9.46353i) q^{62} +(-6.99589 - 3.74934i) q^{63} +(-11.6085 + 5.59034i) q^{64} +(-2.45820 - 7.96929i) q^{65} +(12.4681 + 11.4312i) q^{66} +(-0.481602 + 0.834158i) q^{67} +5.89591 q^{68} +(-2.56784 - 8.15190i) q^{69} +(6.24845 + 10.3465i) q^{70} +(8.93480 - 7.12527i) q^{71} +(-7.63107 - 4.28532i) q^{72} +(6.90851 - 10.1329i) q^{73} +(6.14439 + 12.7589i) q^{74} +(-0.145359 - 1.79596i) q^{75} +(-20.5344 - 8.05915i) q^{76} +(-2.28780 + 11.0197i) q^{77} +(-3.61152 + 16.2695i) q^{78} +(4.55906 + 7.89652i) q^{79} +(0.155387 + 0.269139i) q^{80} +(0.886350 + 8.95625i) q^{81} +(16.3266 - 17.5959i) q^{82} +(-0.292707 + 3.90591i) q^{83} +(-0.384522 - 14.9834i) q^{84} +(0.268062 + 3.57703i) q^{85} +(12.5140 + 9.97961i) q^{86} +(-0.00912495 - 1.53079i) q^{87} +(-2.76146 + 12.0988i) q^{88} +(-0.526338 + 7.02349i) q^{89} +(5.79887 - 12.4180i) q^{90} +(-10.5294 + 3.47645i) q^{91} +(10.9775 - 11.8310i) q^{92} +(-12.8039 + 10.3362i) q^{93} +(2.39990 + 15.9223i) q^{94} +(3.95586 - 12.8246i) q^{95} +(0.0565378 + 9.48473i) q^{96} +(0.607678 + 0.350843i) q^{97} +(13.5903 - 8.57720i) q^{98} +(11.8230 - 4.80361i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 18q^{2} - 11q^{3} - 60q^{4} - 15q^{5} - 22q^{6} - 5q^{7} + 13q^{9} + O(q^{10}) \) \( 648q - 18q^{2} - 11q^{3} - 60q^{4} - 15q^{5} - 22q^{6} - 5q^{7} + 13q^{9} - 22q^{10} - 21q^{11} + 24q^{12} - 10q^{13} - 24q^{14} - 10q^{15} + 42q^{16} + 9q^{17} + 12q^{18} - 36q^{19} - 15q^{20} - 38q^{21} - 9q^{22} - 84q^{23} - 38q^{24} - 97q^{25} - 6q^{26} - 20q^{27} - 26q^{28} - 123q^{29} - q^{30} - 6q^{31} - 30q^{32} - 8q^{33} - q^{34} + 70q^{36} - 13q^{37} - 75q^{38} - 24q^{39} - 7q^{40} - 15q^{41} - 133q^{42} - 9q^{43} - 51q^{44} - 41q^{45} - 108q^{46} - 36q^{47} + 15q^{48} + 5q^{49} - 45q^{50} + 10q^{51} - 35q^{52} + 12q^{53} - 50q^{54} + 14q^{55} + 33q^{56} - 7q^{57} + 33q^{58} - 3q^{59} + 180q^{60} + 55q^{61} - 66q^{62} - 20q^{63} + 64q^{64} + 3q^{65} + 285q^{66} + 13q^{67} + 6q^{68} + 82q^{69} + 11q^{70} + 63q^{71} - 21q^{72} - 22q^{73} - 21q^{74} - 107q^{75} + 21q^{76} - 69q^{77} + 63q^{78} + q^{79} + 45q^{80} - 211q^{81} - 28q^{82} + 9q^{83} + 239q^{84} - 10q^{85} - 21q^{86} - 109q^{87} - 29q^{88} - 132q^{89} - 275q^{90} - 13q^{91} + 195q^{92} + 19q^{93} - 4q^{94} - 129q^{95} - 5q^{96} - 3q^{97} - 21q^{98} - 148q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{11}{42}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.28939 0.171566i 1.61884 0.121315i 0.765771 0.643113i \(-0.222358\pi\)
0.853069 + 0.521798i \(0.174739\pi\)
\(3\) 0.623167 1.61606i 0.359786 0.933035i
\(4\) 3.23419 0.487476i 1.61710 0.243738i
\(5\) 0.442795 + 1.94001i 0.198024 + 0.867599i 0.972111 + 0.234520i \(0.0753520\pi\)
−0.774087 + 0.633079i \(0.781791\pi\)
\(6\) 1.14941 3.80671i 0.469244 1.55408i
\(7\) 2.56732 0.639424i 0.970356 0.241679i
\(8\) 2.84419 0.649167i 1.00557 0.229515i
\(9\) −2.22333 2.01416i −0.741108 0.671385i
\(10\) 1.34657 + 4.36546i 0.425822 + 1.38048i
\(11\) −1.84568 + 3.83259i −0.556493 + 1.15557i 0.413063 + 0.910702i \(0.364459\pi\)
−0.969556 + 0.244868i \(0.921255\pi\)
\(12\) 1.22765 5.53044i 0.354392 1.59650i
\(13\) −4.17934 + 0.313198i −1.15914 + 0.0868656i −0.640383 0.768056i \(-0.721224\pi\)
−0.518758 + 0.854921i \(0.673605\pi\)
\(14\) 5.76788 1.90435i 1.54153 0.508959i
\(15\) 3.41112 + 0.493366i 0.880747 + 0.127387i
\(16\) 0.149238 0.0460337i 0.0373094 0.0115084i
\(17\) 1.78250 + 0.268669i 0.432320 + 0.0651617i 0.361597 0.932334i \(-0.382232\pi\)
0.0707222 + 0.997496i \(0.477470\pi\)
\(18\) −5.43561 4.22973i −1.28119 0.996958i
\(19\) −5.84088 3.37223i −1.33999 0.773643i −0.353183 0.935554i \(-0.614901\pi\)
−0.986805 + 0.161911i \(0.948234\pi\)
\(20\) 2.37779 + 6.05851i 0.531690 + 1.35472i
\(21\) 0.566521 4.54742i 0.123625 0.992329i
\(22\) −3.56793 + 9.09094i −0.760685 + 1.93819i
\(23\) 3.85793 3.07660i 0.804434 0.641515i −0.132436 0.991192i \(-0.542280\pi\)
0.936870 + 0.349677i \(0.113709\pi\)
\(24\) 0.723308 5.00092i 0.147645 1.02081i
\(25\) 0.937269 0.451365i 0.187454 0.0902730i
\(26\) −9.51439 + 1.43406i −1.86593 + 0.281243i
\(27\) −4.64051 + 2.33788i −0.893066 + 0.449925i
\(28\) 7.99150 3.31952i 1.51025 0.627331i
\(29\) 0.822724 0.322895i 0.152776 0.0599601i −0.287721 0.957714i \(-0.592898\pi\)
0.440497 + 0.897754i \(0.354802\pi\)
\(30\) 7.89401 + 0.544275i 1.44124 + 0.0993706i
\(31\) −8.22765 4.75023i −1.47773 0.853167i −0.478045 0.878335i \(-0.658655\pi\)
−0.999683 + 0.0251681i \(0.991988\pi\)
\(32\) −5.09757 + 2.00065i −0.901131 + 0.353668i
\(33\) 5.04355 + 5.37108i 0.877969 + 0.934986i
\(34\) 4.12692 + 0.309270i 0.707761 + 0.0530394i
\(35\) 2.37729 + 4.69750i 0.401835 + 0.794022i
\(36\) −8.17251 5.43035i −1.36208 0.905058i
\(37\) 2.25356 + 5.74197i 0.370482 + 0.943974i 0.987584 + 0.157091i \(0.0502114\pi\)
−0.617102 + 0.786883i \(0.711693\pi\)
\(38\) −13.9506 6.71824i −2.26308 1.08984i
\(39\) −2.09828 + 6.94926i −0.335994 + 1.11277i
\(40\) 2.51878 + 5.23030i 0.398254 + 0.826984i
\(41\) 7.66437 7.11150i 1.19697 1.11063i 0.205727 0.978609i \(-0.434044\pi\)
0.991247 0.132020i \(-0.0421464\pi\)
\(42\) 0.516803 10.5080i 0.0797444 1.62142i
\(43\) 5.11074 + 4.74207i 0.779381 + 0.723159i 0.965794 0.259312i \(-0.0834958\pi\)
−0.186413 + 0.982471i \(0.559686\pi\)
\(44\) −4.10098 + 13.2951i −0.618246 + 2.00431i
\(45\) 2.92301 5.20513i 0.435736 0.775935i
\(46\) 8.30445 7.70541i 1.22443 1.13610i
\(47\) 0.524137 + 6.99413i 0.0764533 + 1.02020i 0.895090 + 0.445886i \(0.147111\pi\)
−0.818636 + 0.574312i \(0.805270\pi\)
\(48\) 0.0186066 0.269864i 0.00268563 0.0389515i
\(49\) 6.18228 3.28321i 0.883182 0.469030i
\(50\) 2.06833 1.19415i 0.292506 0.168879i
\(51\) 1.54498 2.71321i 0.216341 0.379925i
\(52\) −13.3641 + 3.05027i −1.85327 + 0.422996i
\(53\) 0.0150128 + 0.00589210i 0.00206217 + 0.000809342i 0.366372 0.930469i \(-0.380600\pi\)
−0.364310 + 0.931278i \(0.618695\pi\)
\(54\) −10.2228 + 6.14846i −1.39115 + 0.836700i
\(55\) −8.25253 1.88359i −1.11277 0.253983i
\(56\) 6.88684 3.48526i 0.920293 0.465737i
\(57\) −9.08958 + 7.33776i −1.20394 + 0.971911i
\(58\) 1.82813 0.880383i 0.240046 0.115600i
\(59\) −5.74936 5.33462i −0.748503 0.694509i 0.210598 0.977573i \(-0.432459\pi\)
−0.959101 + 0.283064i \(0.908649\pi\)
\(60\) 11.2727 0.0671958i 1.45530 0.00867495i
\(61\) −1.68588 + 11.1851i −0.215855 + 1.43211i 0.574021 + 0.818841i \(0.305383\pi\)
−0.789876 + 0.613266i \(0.789855\pi\)
\(62\) −19.6512 9.46353i −2.49571 1.20187i
\(63\) −6.99589 3.74934i −0.881399 0.472372i
\(64\) −11.6085 + 5.59034i −1.45106 + 0.698793i
\(65\) −2.45820 7.96929i −0.304902 0.988468i
\(66\) 12.4681 + 11.4312i 1.53472 + 1.40708i
\(67\) −0.481602 + 0.834158i −0.0588370 + 0.101909i −0.893944 0.448179i \(-0.852073\pi\)
0.835107 + 0.550088i \(0.185406\pi\)
\(68\) 5.89591 0.714984
\(69\) −2.56784 8.15190i −0.309132 0.981373i
\(70\) 6.24845 + 10.3465i 0.746833 + 1.23665i
\(71\) 8.93480 7.12527i 1.06037 0.845613i 0.0719537 0.997408i \(-0.477077\pi\)
0.988412 + 0.151795i \(0.0485052\pi\)
\(72\) −7.63107 4.28532i −0.899331 0.505030i
\(73\) 6.90851 10.1329i 0.808579 1.18597i −0.171071 0.985259i \(-0.554723\pi\)
0.979651 0.200710i \(-0.0643248\pi\)
\(74\) 6.14439 + 12.7589i 0.714270 + 1.48320i
\(75\) −0.145359 1.79596i −0.0167847 0.207380i
\(76\) −20.5344 8.05915i −2.35546 0.924448i
\(77\) −2.28780 + 11.0197i −0.260719 + 1.25581i
\(78\) −3.61152 + 16.2695i −0.408924 + 1.84216i
\(79\) 4.55906 + 7.89652i 0.512934 + 0.888428i 0.999887 + 0.0149997i \(0.00477474\pi\)
−0.486954 + 0.873428i \(0.661892\pi\)
\(80\) 0.155387 + 0.269139i 0.0173728 + 0.0300907i
\(81\) 0.886350 + 8.95625i 0.0984834 + 0.995139i
\(82\) 16.3266 17.5959i 1.80297 1.94314i
\(83\) −0.292707 + 3.90591i −0.0321288 + 0.428729i 0.957826 + 0.287348i \(0.0927735\pi\)
−0.989955 + 0.141382i \(0.954846\pi\)
\(84\) −0.384522 14.9834i −0.0419548 1.63482i
\(85\) 0.268062 + 3.57703i 0.0290754 + 0.387984i
\(86\) 12.5140 + 9.97961i 1.34942 + 1.07613i
\(87\) −0.00912495 1.53079i −0.000978297 0.164118i
\(88\) −2.76146 + 12.0988i −0.294373 + 1.28973i
\(89\) −0.526338 + 7.02349i −0.0557917 + 0.744489i 0.897226 + 0.441573i \(0.145579\pi\)
−0.953017 + 0.302916i \(0.902040\pi\)
\(90\) 5.79887 12.4180i 0.611255 1.30898i
\(91\) −10.5294 + 3.47645i −1.10379 + 0.364431i
\(92\) 10.9775 11.8310i 1.14449 1.23346i
\(93\) −12.8039 + 10.3362i −1.32770 + 1.07182i
\(94\) 2.39990 + 15.9223i 0.247531 + 1.64226i
\(95\) 3.95586 12.8246i 0.405862 1.31577i
\(96\) 0.0565378 + 9.48473i 0.00577037 + 0.968031i
\(97\) 0.607678 + 0.350843i 0.0617004 + 0.0356227i 0.530533 0.847664i \(-0.321992\pi\)
−0.468832 + 0.883287i \(0.655325\pi\)
\(98\) 13.5903 8.57720i 1.37283 0.866428i
\(99\) 11.8230 4.80361i 1.18826 0.482781i
\(100\) 2.81128 1.91670i 0.281128 0.191670i
\(101\) 0.641515 + 2.81066i 0.0638332 + 0.279671i 0.996764 0.0803845i \(-0.0256148\pi\)
−0.932931 + 0.360056i \(0.882758\pi\)
\(102\) 3.07156 6.47664i 0.304130 0.641283i
\(103\) 1.56483 0.357163i 0.154187 0.0351923i −0.144730 0.989471i \(-0.546231\pi\)
0.298918 + 0.954279i \(0.403374\pi\)
\(104\) −11.6835 + 3.60388i −1.14566 + 0.353390i
\(105\) 9.07290 0.914518i 0.885425 0.0892479i
\(106\) 0.0353810 + 0.0109136i 0.00343651 + 0.00106002i
\(107\) −4.85767 0.364032i −0.469608 0.0351923i −0.162175 0.986762i \(-0.551851\pi\)
−0.307433 + 0.951570i \(0.599470\pi\)
\(108\) −13.8686 + 9.82328i −1.33451 + 0.945246i
\(109\) −0.0900780 1.20201i −0.00862790 0.115131i 0.991227 0.132171i \(-0.0421949\pi\)
−0.999855 + 0.0170398i \(0.994576\pi\)
\(110\) −19.2164 2.89640i −1.83221 0.276161i
\(111\) 10.6837 0.0636850i 1.01405 0.00604471i
\(112\) 0.353706 0.213609i 0.0334220 0.0201842i
\(113\) 2.27168 3.33195i 0.213702 0.313443i −0.704388 0.709815i \(-0.748778\pi\)
0.918090 + 0.396372i \(0.129731\pi\)
\(114\) −19.5507 + 18.3584i −1.83109 + 1.71942i
\(115\) 7.67691 + 6.12213i 0.715875 + 0.570891i
\(116\) 2.50344 1.44536i 0.232439 0.134199i
\(117\) 9.92287 + 7.72150i 0.917369 + 0.713853i
\(118\) −14.0777 11.2266i −1.29596 1.03349i
\(119\) 4.74804 0.450014i 0.435252 0.0412527i
\(120\) 10.0221 0.811158i 0.914891 0.0740483i
\(121\) −4.42385 5.54733i −0.402168 0.504303i
\(122\) −1.94066 + 25.8963i −0.175699 + 2.34454i
\(123\) −6.71645 16.8178i −0.605602 1.51641i
\(124\) −28.9254 11.3524i −2.59758 1.01947i
\(125\) 7.49409 + 9.39729i 0.670292 + 0.840519i
\(126\) −16.6595 7.38343i −1.48415 0.657768i
\(127\) −1.32113 + 1.65664i −0.117231 + 0.147003i −0.836984 0.547227i \(-0.815684\pi\)
0.719753 + 0.694230i \(0.244255\pi\)
\(128\) −16.1323 + 9.31396i −1.42590 + 0.823246i
\(129\) 10.8483 5.30418i 0.955143 0.467007i
\(130\) −6.99502 17.8230i −0.613504 1.56318i
\(131\) 2.32054 10.1669i 0.202746 0.888289i −0.766509 0.642233i \(-0.778008\pi\)
0.969256 0.246056i \(-0.0791348\pi\)
\(132\) 18.9301 + 14.9125i 1.64765 + 1.29797i
\(133\) −17.1517 4.92281i −1.48724 0.426861i
\(134\) −0.959459 + 1.99234i −0.0828846 + 0.172112i
\(135\) −6.59031 7.96744i −0.567203 0.685728i
\(136\) 5.24417 0.392996i 0.449684 0.0336991i
\(137\) 8.34830 + 1.90544i 0.713243 + 0.162793i 0.563721 0.825965i \(-0.309369\pi\)
0.149522 + 0.988758i \(0.452226\pi\)
\(138\) −7.27737 18.2223i −0.619491 1.55118i
\(139\) −4.41090 4.75381i −0.374127 0.403213i 0.517720 0.855550i \(-0.326781\pi\)
−0.891847 + 0.452337i \(0.850590\pi\)
\(140\) 9.97851 + 14.0337i 0.843338 + 1.18607i
\(141\) 11.6296 + 3.51147i 0.979387 + 0.295719i
\(142\) 19.2328 17.8454i 1.61398 1.49755i
\(143\) 6.51336 16.5958i 0.544675 1.38781i
\(144\) −0.424523 0.198240i −0.0353769 0.0165200i
\(145\) 0.990718 + 1.45312i 0.0822747 + 0.120675i
\(146\) 14.0778 24.3834i 1.16508 2.01799i
\(147\) −1.45329 12.0369i −0.119865 0.992790i
\(148\) 10.0875 + 17.4721i 0.829188 + 1.43619i
\(149\) 0.407049 0.845246i 0.0333467 0.0692452i −0.883630 0.468186i \(-0.844908\pi\)
0.916977 + 0.398941i \(0.130622\pi\)
\(150\) −0.640909 4.08671i −0.0523300 0.333679i
\(151\) −14.2001 17.8064i −1.15559 1.44906i −0.871588 0.490239i \(-0.836909\pi\)
−0.284001 0.958824i \(-0.591662\pi\)
\(152\) −18.8017 5.79955i −1.52502 0.470405i
\(153\) −3.42193 4.18757i −0.276647 0.338545i
\(154\) −3.34706 + 25.6208i −0.269714 + 2.06458i
\(155\) 5.57235 18.0651i 0.447582 1.45102i
\(156\) −3.39864 + 23.4981i −0.272109 + 1.88135i
\(157\) −8.21553 + 8.85424i −0.655671 + 0.706645i −0.970119 0.242629i \(-0.921990\pi\)
0.314448 + 0.949275i \(0.398181\pi\)
\(158\) 11.7922 + 17.2960i 0.938138 + 1.37600i
\(159\) 0.0188775 0.0205899i 0.00149708 0.00163289i
\(160\) −6.13845 9.00346i −0.485287 0.711786i
\(161\) 7.93730 10.3655i 0.625547 0.816913i
\(162\) 3.56578 + 20.3522i 0.280154 + 1.59902i
\(163\) −13.2684 12.3113i −1.03926 0.964297i −0.0398743 0.999205i \(-0.512696\pi\)
−0.999391 + 0.0349079i \(0.988886\pi\)
\(164\) 21.3214 26.7361i 1.66492 2.08774i
\(165\) −8.18670 + 12.1628i −0.637334 + 0.946875i
\(166\) 8.99235i 0.697942i
\(167\) 11.6125 + 1.75030i 0.898601 + 0.135442i 0.582069 0.813139i \(-0.302243\pi\)
0.316532 + 0.948582i \(0.397482\pi\)
\(168\) −1.34075 13.3015i −0.103441 1.02623i
\(169\) 4.51400 0.680376i 0.347231 0.0523366i
\(170\) 1.22739 + 8.14322i 0.0941367 + 0.624556i
\(171\) 6.19397 + 19.2620i 0.473664 + 1.47300i
\(172\) 18.8408 + 12.8454i 1.43659 + 0.979453i
\(173\) 3.53860 9.01620i 0.269034 0.685489i −0.730961 0.682419i \(-0.760928\pi\)
0.999995 0.00306921i \(-0.000976962\pi\)
\(174\) −0.283522 3.50301i −0.0214937 0.265562i
\(175\) 2.11766 1.75811i 0.160080 0.132901i
\(176\) −0.0990163 + 0.656930i −0.00746363 + 0.0495180i
\(177\) −12.2039 + 5.96697i −0.917302 + 0.448505i
\(178\) 16.1698i 1.21198i
\(179\) 1.59545 10.5851i 0.119249 0.791167i −0.846631 0.532180i \(-0.821373\pi\)
0.965881 0.258988i \(-0.0833889\pi\)
\(180\) 6.91619 18.2593i 0.515502 1.36097i
\(181\) −3.16093 6.56374i −0.234950 0.487879i 0.749842 0.661617i \(-0.230130\pi\)
−0.984792 + 0.173738i \(0.944415\pi\)
\(182\) −23.5095 + 9.76543i −1.74264 + 0.723862i
\(183\) 17.0253 + 9.69470i 1.25854 + 0.716652i
\(184\) 8.97545 11.2549i 0.661679 0.829719i
\(185\) −10.1416 + 6.91444i −0.745627 + 0.508360i
\(186\) −27.5397 + 25.8603i −2.01931 + 1.89617i
\(187\) −4.31962 + 6.33572i −0.315882 + 0.463314i
\(188\) 5.10463 + 22.3648i 0.372293 + 1.63112i
\(189\) −10.4188 + 8.96934i −0.757855 + 0.652423i
\(190\) 6.85622 30.0391i 0.497403 2.17926i
\(191\) −3.18919 3.43713i −0.230762 0.248702i 0.607047 0.794666i \(-0.292354\pi\)
−0.837809 + 0.545964i \(0.816164\pi\)
\(192\) 1.80034 + 22.2437i 0.129928 + 1.60530i
\(193\) −0.116847 0.0360425i −0.00841082 0.00259439i 0.290547 0.956861i \(-0.406163\pi\)
−0.298958 + 0.954266i \(0.596639\pi\)
\(194\) 1.45140 + 0.698959i 0.104205 + 0.0501823i
\(195\) −14.4107 0.993591i −1.03197 0.0711525i
\(196\) 18.3942 13.6322i 1.31387 0.973731i
\(197\) 2.78420i 0.198366i 0.995069 + 0.0991829i \(0.0316229\pi\)
−0.995069 + 0.0991829i \(0.968377\pi\)
\(198\) 26.2432 13.0257i 1.86503 0.925700i
\(199\) 8.36406 + 9.01432i 0.592913 + 0.639008i 0.956216 0.292663i \(-0.0945415\pi\)
−0.363303 + 0.931671i \(0.618351\pi\)
\(200\) 2.37276 1.89221i 0.167779 0.133799i
\(201\) 1.04794 + 1.29812i 0.0739156 + 0.0915623i
\(202\) 1.95089 + 6.32463i 0.137264 + 0.444999i
\(203\) 1.90573 1.35504i 0.133756 0.0951055i
\(204\) 3.67414 9.52817i 0.257241 0.667105i
\(205\) 17.1901 + 11.7200i 1.20061 + 0.818563i
\(206\) 3.52123 1.08615i 0.245336 0.0756760i
\(207\) −14.7742 0.930199i −1.02688 0.0646533i
\(208\) −0.609297 + 0.239131i −0.0422471 + 0.0165808i
\(209\) 23.7048 16.1616i 1.63969 1.11792i
\(210\) 20.6145 3.65028i 1.42253 0.251894i
\(211\) −0.365770 0.249378i −0.0251807 0.0171679i 0.550664 0.834727i \(-0.314374\pi\)
−0.575845 + 0.817559i \(0.695327\pi\)
\(212\) 0.0514266 + 0.0117378i 0.00353199 + 0.000806154i
\(213\) −5.94701 18.8794i −0.407482 1.29360i
\(214\) −11.1835 −0.764490
\(215\) −6.93667 + 12.0147i −0.473077 + 0.819393i
\(216\) −11.6808 + 9.66183i −0.794777 + 0.657404i
\(217\) −24.1604 6.93442i −1.64012 0.470739i
\(218\) −0.412446 2.73640i −0.0279344 0.185333i
\(219\) −12.0703 17.4791i −0.815634 1.18113i
\(220\) −27.6085 2.06897i −1.86136 0.139490i
\(221\) −7.53382 0.564582i −0.506779 0.0379779i
\(222\) 24.4483 1.97876i 1.64086 0.132806i
\(223\) −3.20503 21.2640i −0.214625 1.42394i −0.793522 0.608541i \(-0.791755\pi\)
0.578897 0.815400i \(-0.303483\pi\)
\(224\) −11.8078 + 8.39581i −0.788944 + 0.560968i
\(225\) −2.99297 0.884275i −0.199532 0.0589517i
\(226\) 4.62911 8.01786i 0.307924 0.533340i
\(227\) 16.7831 1.11393 0.556966 0.830535i \(-0.311965\pi\)
0.556966 + 0.830535i \(0.311965\pi\)
\(228\) −25.8205 + 28.1627i −1.71000 + 1.86512i
\(229\) −2.03134 0.463640i −0.134235 0.0306382i 0.154876 0.987934i \(-0.450502\pi\)
−0.289110 + 0.957296i \(0.593359\pi\)
\(230\) 18.6257 + 12.6988i 1.22815 + 0.837335i
\(231\) 16.3828 + 10.5643i 1.07791 + 0.695082i
\(232\) 2.13037 1.45246i 0.139865 0.0953586i
\(233\) −26.7571 + 10.5014i −1.75292 + 0.687969i −0.753378 + 0.657587i \(0.771577\pi\)
−0.999538 + 0.0303816i \(0.990328\pi\)
\(234\) 24.0420 + 15.9751i 1.57168 + 1.04432i
\(235\) −13.3366 + 4.11380i −0.869984 + 0.268354i
\(236\) −21.1950 14.4505i −1.37968 0.940649i
\(237\) 15.6023 2.44688i 1.01348 0.158942i
\(238\) 10.7929 1.84486i 0.699599 0.119584i
\(239\) 1.04546 + 3.38929i 0.0676250 + 0.219235i 0.983077 0.183192i \(-0.0586430\pi\)
−0.915452 + 0.402427i \(0.868167\pi\)
\(240\) 0.531778 0.0833975i 0.0343261 0.00538328i
\(241\) −9.47427 + 7.55548i −0.610291 + 0.486691i −0.879186 0.476479i \(-0.841913\pi\)
0.268895 + 0.963170i \(0.413342\pi\)
\(242\) −11.0796 11.9410i −0.712226 0.767597i
\(243\) 15.0262 + 4.14884i 0.963932 + 0.266148i
\(244\) 36.9966i 2.36847i
\(245\) 9.10694 + 10.5399i 0.581821 + 0.673369i
\(246\) −18.2619 37.3501i −1.16434 2.38135i
\(247\) 25.4672 + 12.2644i 1.62044 + 0.780362i
\(248\) −26.4846 8.16943i −1.68178 0.518759i
\(249\) 6.12979 + 2.90707i 0.388460 + 0.184228i
\(250\) 18.7691 + 20.2283i 1.18706 + 1.27935i
\(251\) −0.0951713 + 0.416973i −0.00600716 + 0.0263191i −0.977843 0.209341i \(-0.932868\pi\)
0.971836 + 0.235660i \(0.0757252\pi\)
\(252\) −24.4537 8.71575i −1.54044 0.549041i
\(253\) 4.67084 + 20.4643i 0.293653 + 1.28658i
\(254\) −2.74035 + 4.01935i −0.171945 + 0.252197i
\(255\) 5.94776 + 1.79588i 0.372463 + 0.112463i
\(256\) −14.0438 + 9.57488i −0.877735 + 0.598430i
\(257\) −13.8211 + 17.3311i −0.862138 + 1.08109i 0.133797 + 0.991009i \(0.457283\pi\)
−0.995935 + 0.0900780i \(0.971288\pi\)
\(258\) 23.9260 14.0045i 1.48957 0.871883i
\(259\) 9.45715 + 13.3005i 0.587639 + 0.826453i
\(260\) −11.8351 24.5759i −0.733983 1.52413i
\(261\) −2.47954 0.939193i −0.153480 0.0581346i
\(262\) 3.56831 23.6742i 0.220451 1.46259i
\(263\) 17.5124i 1.07986i 0.841710 + 0.539930i \(0.181549\pi\)
−0.841710 + 0.539930i \(0.818451\pi\)
\(264\) 17.8315 + 12.0023i 1.09745 + 0.738688i
\(265\) −0.00478314 + 0.0317340i −0.000293826 + 0.00194941i
\(266\) −40.1114 8.32756i −2.45939 0.510596i
\(267\) 11.0224 + 5.22741i 0.674561 + 0.319912i
\(268\) −1.15096 + 2.93260i −0.0703060 + 0.179137i
\(269\) −4.01903 2.74013i −0.245044 0.167068i 0.434570 0.900638i \(-0.356900\pi\)
−0.679614 + 0.733570i \(0.737853\pi\)
\(270\) −16.4547 17.1099i −1.00140 1.04127i
\(271\) 0.439092 + 2.91318i 0.0266729 + 0.176963i 0.998201 0.0599627i \(-0.0190982\pi\)
−0.971528 + 0.236926i \(0.923860\pi\)
\(272\) 0.278384 0.0419596i 0.0168795 0.00254417i
\(273\) −0.943439 + 19.1827i −0.0570995 + 1.16099i
\(274\) 19.4394 + 2.93001i 1.17438 + 0.177009i
\(275\) 4.42525i 0.266852i
\(276\) −12.2787 25.1130i −0.739093 1.51163i
\(277\) 13.7582 17.2523i 0.826651 1.03659i −0.172022 0.985093i \(-0.555030\pi\)
0.998673 0.0514949i \(-0.0163986\pi\)
\(278\) −10.9138 10.1266i −0.654568 0.607351i
\(279\) 8.72502 + 27.1331i 0.522353 + 1.62441i
\(280\) 9.81090 + 11.8173i 0.586313 + 0.706219i
\(281\) −1.60039 2.34734i −0.0954714 0.140031i 0.775531 0.631309i \(-0.217482\pi\)
−0.871003 + 0.491278i \(0.836530\pi\)
\(282\) 27.2270 + 6.04387i 1.62135 + 0.359907i
\(283\) 0.137609 + 0.201836i 0.00818003 + 0.0119979i 0.830307 0.557306i \(-0.188165\pi\)
−0.822127 + 0.569304i \(0.807213\pi\)
\(284\) 25.4235 27.4000i 1.50860 1.62589i
\(285\) −18.2602 14.3848i −1.08164 0.852080i
\(286\) 12.0643 39.1116i 0.713379 2.31272i
\(287\) 15.1296 23.1583i 0.893075 1.36699i
\(288\) 15.3632 + 5.81920i 0.905283 + 0.342900i
\(289\) −13.1396 4.05304i −0.772919 0.238414i
\(290\) 2.51744 + 3.15677i 0.147829 + 0.185372i
\(291\) 0.945670 0.763413i 0.0554362 0.0447521i
\(292\) 17.4039 36.1395i 1.01848 2.11490i
\(293\) −9.38183 16.2498i −0.548092 0.949324i −0.998405 0.0564528i \(-0.982021\pi\)
0.450313 0.892871i \(-0.351312\pi\)
\(294\) −5.39226 27.3079i −0.314483 1.59263i
\(295\) 7.80344 13.5160i 0.454334 0.786930i
\(296\) 10.1370 + 14.8683i 0.589203 + 0.864202i
\(297\) −0.395250 22.1002i −0.0229347 1.28238i
\(298\) 0.786877 2.00493i 0.0455825 0.116142i
\(299\) −15.1600 + 14.0664i −0.876727 + 0.813484i
\(300\) −1.34561 5.73763i −0.0776887 0.331262i
\(301\) 16.1531 + 8.90650i 0.931049 + 0.513362i
\(302\) −35.5645 38.3294i −2.04651 2.20561i
\(303\) 4.94198 + 0.714783i 0.283909 + 0.0410632i
\(304\) −1.02691 0.234386i −0.0588976 0.0134430i
\(305\) −22.4457 + 1.68208i −1.28524 + 0.0963154i
\(306\) −8.55257 8.99987i −0.488918 0.514489i
\(307\) −0.244790 + 0.508311i −0.0139709 + 0.0290109i −0.907838 0.419322i \(-0.862268\pi\)
0.893867 + 0.448333i \(0.147982\pi\)
\(308\) −2.02737 + 36.7550i −0.115520 + 2.09431i
\(309\) 0.397954 2.75144i 0.0226388 0.156524i
\(310\) 9.65790 42.3140i 0.548532 2.40327i
\(311\) 5.26491 + 13.4148i 0.298546 + 0.760682i 0.998900 + 0.0468866i \(0.0149299\pi\)
−0.700355 + 0.713795i \(0.746975\pi\)
\(312\) −1.45667 + 21.1271i −0.0824677 + 1.19609i
\(313\) 13.6945 7.90654i 0.774060 0.446904i −0.0602608 0.998183i \(-0.519193\pi\)
0.834321 + 0.551279i \(0.185860\pi\)
\(314\) −17.2894 + 21.6803i −0.975699 + 1.22349i
\(315\) 4.17602 15.2323i 0.235292 0.858242i
\(316\) 18.5942 + 23.3164i 1.04601 + 1.31165i
\(317\) 20.7599 + 8.14766i 1.16599 + 0.457618i 0.867813 0.496892i \(-0.165525\pi\)
0.298180 + 0.954510i \(0.403621\pi\)
\(318\) 0.0396854 0.0503770i 0.00222544 0.00282500i
\(319\) −0.280958 + 3.74913i −0.0157306 + 0.209911i
\(320\) −15.9855 20.0452i −0.893617 1.12056i
\(321\) −3.61544 + 7.62344i −0.201794 + 0.425499i
\(322\) 16.3932 25.0923i 0.913556 1.39834i
\(323\) −9.50534 7.58026i −0.528891 0.421777i
\(324\) 7.23258 + 28.5341i 0.401810 + 1.58523i
\(325\) −3.77580 + 2.17996i −0.209444 + 0.120922i
\(326\) −32.4888 25.9089i −1.79939 1.43496i
\(327\) −1.99865 0.603479i −0.110526 0.0333725i
\(328\) 17.1824 25.2019i 0.948737 1.39154i
\(329\) 5.81784 + 17.6210i 0.320748 + 0.971478i
\(330\) −16.6558 + 29.2500i −0.916871 + 1.61016i
\(331\) 26.8264 + 4.04343i 1.47451 + 0.222247i 0.836580 0.547845i \(-0.184552\pi\)
0.637933 + 0.770092i \(0.279790\pi\)
\(332\) 0.957364 + 12.7751i 0.0525422 + 0.701127i
\(333\) 6.55483 17.3053i 0.359203 0.948323i
\(334\) 26.8857 + 2.01481i 1.47112 + 0.110245i
\(335\) −1.83153 0.564951i −0.100067 0.0308666i
\(336\) −0.124788 0.704725i −0.00680777 0.0384459i
\(337\) −30.7710 + 9.49161i −1.67620 + 0.517041i −0.979693 0.200504i \(-0.935742\pi\)
−0.696512 + 0.717545i \(0.745266\pi\)
\(338\) 10.2176 2.33209i 0.555762 0.126849i
\(339\) −3.96900 5.74755i −0.215567 0.312164i
\(340\) 2.61068 + 11.4381i 0.141584 + 0.620320i
\(341\) 33.3913 22.7658i 1.80824 1.23284i
\(342\) 17.4851 + 43.0355i 0.945485 + 2.32709i
\(343\) 13.7725 12.3821i 0.743646 0.668573i
\(344\) 17.6143 + 10.1696i 0.949699 + 0.548309i
\(345\) 14.6777 8.59126i 0.790223 0.462538i
\(346\) 6.55434 21.2487i 0.352364 1.14233i
\(347\) −2.09514 13.9003i −0.112473 0.746210i −0.971976 0.235079i \(-0.924465\pi\)
0.859503 0.511130i \(-0.170773\pi\)
\(348\) −0.775736 4.94642i −0.0415838 0.265156i
\(349\) −13.1042 + 14.1230i −0.701453 + 0.755987i −0.978808 0.204781i \(-0.934352\pi\)
0.277355 + 0.960768i \(0.410542\pi\)
\(350\) 4.54650 4.38831i 0.243021 0.234565i
\(351\) 18.6620 11.2242i 0.996106 0.599103i
\(352\) 1.74081 23.2295i 0.0927853 1.23813i
\(353\) −7.10983 + 31.1502i −0.378418 + 1.65796i 0.323898 + 0.946092i \(0.395007\pi\)
−0.702316 + 0.711865i \(0.747851\pi\)
\(354\) −26.9157 + 15.7545i −1.43055 + 0.837340i
\(355\) 17.7794 + 14.1786i 0.943631 + 0.752521i
\(356\) 1.72150 + 22.9719i 0.0912396 + 1.21751i
\(357\) 2.23157 7.95357i 0.118107 0.420948i
\(358\) 1.83655 24.5071i 0.0970648 1.29524i
\(359\) −16.4387 + 17.7167i −0.867599 + 0.935049i −0.998411 0.0563579i \(-0.982051\pi\)
0.130812 + 0.991407i \(0.458242\pi\)
\(360\) 4.93458 16.7019i 0.260075 0.880267i
\(361\) 13.2439 + 22.9391i 0.697047 + 1.20732i
\(362\) −8.36270 14.4846i −0.439534 0.761295i
\(363\) −11.7216 + 3.69231i −0.615227 + 0.193796i
\(364\) −32.3595 + 16.3763i −1.69610 + 0.858354i
\(365\) 22.7170 + 8.91577i 1.18906 + 0.466673i
\(366\) 40.6407 + 19.2739i 2.12432 + 1.00747i
\(367\) −2.57409 5.34515i −0.134366 0.279014i 0.822919 0.568158i \(-0.192344\pi\)
−0.957286 + 0.289144i \(0.906629\pi\)
\(368\) 0.434121 0.636739i 0.0226301 0.0331923i
\(369\) −31.3641 + 0.373932i −1.63275 + 0.0194661i
\(370\) −22.0318 + 17.5698i −1.14538 + 0.913409i
\(371\) 0.0423103 + 0.00552736i 0.00219664 + 0.000286966i
\(372\) −36.3715 + 39.6709i −1.88578 + 2.05684i
\(373\) −7.21150 −0.373397 −0.186699 0.982417i \(-0.559779\pi\)
−0.186699 + 0.982417i \(0.559779\pi\)
\(374\) −8.80228 + 15.2460i −0.455155 + 0.788352i
\(375\) 19.8567 6.25484i 1.02540 0.322999i
\(376\) 6.03110 + 19.5523i 0.311030 + 1.00833i
\(377\) −3.33731 + 1.60717i −0.171880 + 0.0827732i
\(378\) −22.3138 + 22.3218i −1.14770 + 1.14811i
\(379\) −31.7904 15.3094i −1.63296 0.786394i −0.999925 0.0122730i \(-0.996093\pi\)
−0.633038 0.774121i \(-0.718192\pi\)
\(380\) 6.54232 43.4055i 0.335614 2.22665i
\(381\) 1.85396 + 3.16739i 0.0949811 + 0.162271i
\(382\) −7.89098 7.32176i −0.403738 0.374614i
\(383\) −16.7873 + 8.08432i −0.857789 + 0.413089i −0.810463 0.585790i \(-0.800784\pi\)
−0.0473261 + 0.998879i \(0.515070\pi\)
\(384\) 4.99887 + 31.8749i 0.255097 + 1.62661i
\(385\) −22.3913 + 0.441092i −1.14117 + 0.0224801i
\(386\) −0.273691 0.0624682i −0.0139305 0.00317955i
\(387\) −1.81156 20.8370i −0.0920868 1.05920i
\(388\) 2.13638 + 0.838465i 0.108458 + 0.0425666i
\(389\) 36.2609 8.27631i 1.83850 0.419626i 0.845128 0.534564i \(-0.179524\pi\)
0.993373 + 0.114938i \(0.0366670\pi\)
\(390\) −33.1622 + 0.197678i −1.67923 + 0.0100098i
\(391\) 7.70334 4.44753i 0.389575 0.224921i
\(392\) 15.4522 13.3514i 0.780453 0.674347i
\(393\) −14.9843 10.0858i −0.755860 0.508763i
\(394\) 0.477673 + 6.37410i 0.0240648 + 0.321122i
\(395\) −13.3006 + 12.3412i −0.669226 + 0.620951i
\(396\) 35.8961 21.2992i 1.80385 1.07033i
\(397\) −8.90218 + 28.8601i −0.446787 + 1.44845i 0.399999 + 0.916516i \(0.369011\pi\)
−0.846786 + 0.531933i \(0.821466\pi\)
\(398\) 20.6951 + 19.2023i 1.03735 + 0.962522i
\(399\) −18.6439 + 24.6505i −0.933364 + 1.23407i
\(400\) 0.119098 0.110507i 0.00595489 0.00552533i
\(401\) 5.35570 + 11.1212i 0.267451 + 0.555367i 0.990835 0.135078i \(-0.0431286\pi\)
−0.723384 + 0.690446i \(0.757414\pi\)
\(402\) 2.62184 + 2.79211i 0.130766 + 0.139258i
\(403\) 35.8739 + 17.2760i 1.78701 + 0.860577i
\(404\) 3.44491 + 8.77749i 0.171391 + 0.436697i
\(405\) −16.9827 + 5.68531i −0.843880 + 0.282505i
\(406\) 4.13047 3.42918i 0.204992 0.170187i
\(407\) −26.1660 1.96087i −1.29700 0.0971967i
\(408\) 2.63289 8.71981i 0.130347 0.431695i
\(409\) −8.09673 + 3.17773i −0.400358 + 0.157129i −0.556972 0.830531i \(-0.688037\pi\)
0.156615 + 0.987660i \(0.449942\pi\)
\(410\) 41.3656 + 23.8824i 2.04290 + 1.17947i
\(411\) 8.28170 12.3040i 0.408506 0.606910i
\(412\) 4.88686 1.91795i 0.240758 0.0944906i
\(413\) −18.1715 10.0194i −0.894163 0.493023i
\(414\) −33.9834 + 0.405160i −1.67019 + 0.0199125i
\(415\) −7.70712 + 1.16166i −0.378327 + 0.0570237i
\(416\) 20.6779 9.95794i 1.01382 0.488228i
\(417\) −10.4312 + 4.16587i −0.510818 + 0.204003i
\(418\) 51.4966 41.0672i 2.51878 2.00866i
\(419\) −10.3312 + 26.3234i −0.504710 + 1.28598i 0.420764 + 0.907170i \(0.361762\pi\)
−0.925474 + 0.378811i \(0.876333\pi\)
\(420\) 28.8977 7.38055i 1.41006 0.360134i
\(421\) −6.93197 17.6624i −0.337844 0.860811i −0.994317 0.106462i \(-0.966048\pi\)
0.656473 0.754349i \(-0.272047\pi\)
\(422\) −0.880174 0.508169i −0.0428462 0.0247373i
\(423\) 12.9219 16.6059i 0.628286 0.807407i
\(424\) 0.0465242 + 0.00701240i 0.00225942 + 0.000340552i
\(425\) 1.79195 0.552743i 0.0869223 0.0268120i
\(426\) −16.8541 42.2020i −0.816582 2.04469i
\(427\) 2.82382 + 29.7938i 0.136654 + 1.44182i
\(428\) −15.8881 + 1.19065i −0.767979 + 0.0575521i
\(429\) −22.7609 20.8680i −1.09891 1.00751i
\(430\) −13.8194 + 28.6963i −0.666431 + 1.38386i
\(431\) 8.17194 + 26.4928i 0.393628 + 1.27611i 0.908154 + 0.418637i \(0.137492\pi\)
−0.514525 + 0.857475i \(0.672032\pi\)
\(432\) −0.584917 + 0.562519i −0.0281418 + 0.0270642i
\(433\) 30.2687 6.90864i 1.45462 0.332008i 0.579128 0.815237i \(-0.303393\pi\)
0.875494 + 0.483229i \(0.160536\pi\)
\(434\) −56.5022 11.7305i −2.71219 0.563081i
\(435\) 2.96571 0.695529i 0.142195 0.0333481i
\(436\) −0.877278 3.84361i −0.0420140 0.184075i
\(437\) −32.9087 + 4.96019i −1.57424 + 0.237278i
\(438\) −30.6324 37.9455i −1.46367 1.81311i
\(439\) −6.12625 + 0.459099i −0.292390 + 0.0219116i −0.220118 0.975473i \(-0.570644\pi\)
−0.0722724 + 0.997385i \(0.523025\pi\)
\(440\) −24.6945 −1.17726
\(441\) −20.3581 5.15242i −0.969434 0.245353i
\(442\) −17.3447 −0.825002
\(443\) −37.8852 + 2.83910i −1.79998 + 0.134890i −0.932173 0.362014i \(-0.882089\pi\)
−0.867806 + 0.496904i \(0.834470\pi\)
\(444\) 34.5222 5.41403i 1.63835 0.256938i
\(445\) −13.8587 + 2.08886i −0.656966 + 0.0990217i
\(446\) −10.9857 48.1316i −0.520189 2.27910i
\(447\) −1.11231 1.18455i −0.0526105 0.0560271i
\(448\) −26.2281 + 21.7749i −1.23916 + 1.02877i
\(449\) 12.9817 2.96300i 0.612646 0.139833i 0.0950714 0.995470i \(-0.469692\pi\)
0.517575 + 0.855638i \(0.326835\pi\)
\(450\) −7.00378 1.51096i −0.330162 0.0712271i
\(451\) 13.1095 + 42.5000i 0.617303 + 2.00125i
\(452\) 5.72282 11.8835i 0.269179 0.558955i
\(453\) −37.6253 + 11.8519i −1.76779 + 0.556853i
\(454\) 38.4229 2.87940i 1.80328 0.135137i
\(455\) −11.4067 18.8879i −0.534756 0.885478i
\(456\) −21.0890 + 26.7706i −0.987584 + 1.25365i
\(457\) −39.1214 + 12.0674i −1.83002 + 0.564487i −0.830045 + 0.557697i \(0.811685\pi\)
−0.999977 + 0.00679009i \(0.997839\pi\)
\(458\) −4.73006 0.712942i −0.221021 0.0333136i
\(459\) −8.89982 + 2.92051i −0.415408 + 0.136318i
\(460\) 27.8130 + 16.0578i 1.29679 + 0.748700i
\(461\) −6.72694 17.1400i −0.313305 0.798287i −0.997610 0.0690919i \(-0.977990\pi\)
0.684306 0.729195i \(-0.260105\pi\)
\(462\) 39.3190 + 21.3751i 1.82929 + 0.994460i
\(463\) 6.03748 15.3832i 0.280585 0.714920i −0.719212 0.694791i \(-0.755497\pi\)
0.999797 0.0201290i \(-0.00640771\pi\)
\(464\) 0.107917 0.0860611i 0.00500993 0.00399529i
\(465\) −25.7219 20.2628i −1.19282 0.939667i
\(466\) −59.4557 + 28.6323i −2.75423 + 1.32637i
\(467\) 5.17283 0.779679i 0.239370 0.0360792i −0.0282615 0.999601i \(-0.508997\pi\)
0.267632 + 0.963521i \(0.413759\pi\)
\(468\) 35.8565 + 20.1357i 1.65747 + 0.930771i
\(469\) −0.703045 + 2.44950i −0.0324636 + 0.113107i
\(470\) −29.8268 + 11.7062i −1.37581 + 0.539965i
\(471\) 9.18936 + 18.7945i 0.423424 + 0.866005i
\(472\) −19.8153 11.4404i −0.912073 0.526586i
\(473\) −27.6072 + 10.8350i −1.26938 + 0.498196i
\(474\) 35.3000 8.27867i 1.62138 0.380252i
\(475\) −6.99658 0.524321i −0.321025 0.0240575i
\(476\) 15.1367 3.76998i 0.693789 0.172797i
\(477\) −0.0215108 0.0433382i −0.000984911 0.00198432i
\(478\) 2.97494 + 7.58003i 0.136071 + 0.346702i
\(479\) −4.34046 2.09026i −0.198321 0.0955062i 0.332088 0.943249i \(-0.392247\pi\)
−0.530408 + 0.847742i \(0.677961\pi\)
\(480\) −18.3754 + 4.30947i −0.838720 + 0.196700i
\(481\) −11.2168 23.2918i −0.511440 1.06202i
\(482\) −20.3940 + 18.9229i −0.928921 + 0.861913i
\(483\) −11.8050 19.2866i −0.537146 0.877571i
\(484\) −17.0118 15.7846i −0.773262 0.717483i
\(485\) −0.411563 + 1.33425i −0.0186881 + 0.0605854i
\(486\) 35.1126 + 6.92031i 1.59274 + 0.313912i
\(487\) 21.0349 19.5175i 0.953183 0.884425i −0.0402095 0.999191i \(-0.512803\pi\)
0.993392 + 0.114767i \(0.0366120\pi\)
\(488\) 2.46604 + 32.9070i 0.111632 + 1.48963i
\(489\) −28.1643 + 13.7706i −1.27364 + 0.622730i
\(490\) 22.6576 + 22.5674i 1.02357 + 1.01949i
\(491\) 10.9086 6.29811i 0.492300 0.284230i −0.233228 0.972422i \(-0.574929\pi\)
0.725528 + 0.688192i \(0.241595\pi\)
\(492\) −29.9205 51.1178i −1.34892 2.30457i
\(493\) 1.55326 0.354521i 0.0699551 0.0159668i
\(494\) 60.4084 + 23.7085i 2.71790 + 1.06670i
\(495\) 14.5542 + 20.8097i 0.654164 + 0.935327i
\(496\) −1.44654 0.330164i −0.0649518 0.0148248i
\(497\) 18.3824 24.0060i 0.824565 1.07681i
\(498\) 14.5322 + 5.60374i 0.651204 + 0.251110i
\(499\) −18.7128 + 9.01163i −0.837702 + 0.403416i −0.802998 0.595982i \(-0.796763\pi\)
−0.0347036 + 0.999398i \(0.511049\pi\)
\(500\) 28.8183 + 26.7394i 1.28879 + 1.19582i
\(501\) 10.0651 17.6758i 0.449676 0.789696i
\(502\) −0.146346 + 0.970939i −0.00653172 + 0.0433351i
\(503\) 0.939734 + 0.452552i 0.0419007 + 0.0201783i 0.454717 0.890636i \(-0.349740\pi\)
−0.412816 + 0.910814i \(0.635455\pi\)
\(504\) −22.3316 6.12232i −0.994726 0.272710i
\(505\) −5.16866 + 2.48909i −0.230002 + 0.110763i
\(506\) 14.2043 + 46.0493i 0.631460 + 2.04714i
\(507\) 1.71345 7.71890i 0.0760968 0.342808i
\(508\) −3.46521 + 6.00192i −0.153744 + 0.266292i
\(509\) 37.5879 1.66605 0.833027 0.553233i \(-0.186606\pi\)
0.833027 + 0.553233i \(0.186606\pi\)
\(510\) 13.9248 + 3.09104i 0.616602 + 0.136874i
\(511\) 11.2571 30.4319i 0.497986 1.34623i
\(512\) −1.38108 + 1.10138i −0.0610358 + 0.0486744i
\(513\) 34.9885 + 1.99360i 1.54478 + 0.0880197i
\(514\) −28.6685 + 42.0489i −1.26451 + 1.85470i
\(515\) 1.38580 + 2.87764i 0.0610656 + 0.126804i
\(516\) 32.4999 22.4430i 1.43073 0.987999i
\(517\) −27.7730 10.9001i −1.22146 0.479386i
\(518\) 23.9330 + 28.8275i 1.05155 + 1.26661i
\(519\) −12.3656 11.3372i −0.542790 0.497648i
\(520\) −12.1650 21.0703i −0.533469 0.923996i
\(521\) 13.2069 + 22.8750i 0.578604 + 1.00217i 0.995640 + 0.0932819i \(0.0297358\pi\)
−0.417035 + 0.908890i \(0.636931\pi\)
\(522\) −5.83777 1.72477i −0.255512 0.0754911i
\(523\) −5.42589 + 5.84772i −0.237258 + 0.255703i −0.840445 0.541896i \(-0.817707\pi\)
0.603188 + 0.797599i \(0.293897\pi\)
\(524\) 2.54892 34.0130i 0.111350 1.48587i
\(525\) −1.52157 4.51787i −0.0664065 0.197176i
\(526\) 3.00452 + 40.0926i 0.131003 + 1.74812i
\(527\) −13.3895 10.6778i −0.583257 0.465132i
\(528\) 0.999938 + 0.569394i 0.0435167 + 0.0247797i
\(529\) 0.300201 1.31527i 0.0130522 0.0571854i
\(530\) −0.00550597 + 0.0734721i −0.000239164 + 0.00319142i
\(531\) 2.03793 + 23.4407i 0.0884385 + 1.01724i
\(532\) −57.8716 7.56026i −2.50905 0.327779i
\(533\) −29.8047 + 32.1219i −1.29099 + 1.39135i
\(534\) 26.1314 + 10.0765i 1.13082 + 0.436052i
\(535\) −1.44472 9.58511i −0.0624608 0.414401i
\(536\) −0.828256 + 2.68514i −0.0357752 + 0.115980i
\(537\) −16.1120 9.17463i −0.695283 0.395914i
\(538\) −9.67122 5.58368i −0.416956 0.240730i
\(539\) 1.17271 + 29.7539i 0.0505124 + 1.28159i
\(540\) −25.1982 22.5556i −1.08436 0.970638i
\(541\) −15.3601 + 10.4723i −0.660381 + 0.450240i −0.846572 0.532273i \(-0.821338\pi\)
0.186192 + 0.982513i \(0.440385\pi\)
\(542\) 1.50505 + 6.59407i 0.0646476 + 0.283240i
\(543\) −12.5772 + 1.01796i −0.539740 + 0.0436848i
\(544\) −9.62392 + 2.19660i −0.412622 + 0.0941783i
\(545\) 2.29202 0.706995i 0.0981794 0.0302843i
\(546\) 1.13119 + 44.0784i 0.0484105 + 1.88638i
\(547\) 35.0081 + 10.7986i 1.49684 + 0.461713i 0.931683 0.363272i \(-0.118340\pi\)
0.565154 + 0.824985i \(0.308817\pi\)
\(548\) 27.9288 + 2.09298i 1.19306 + 0.0894075i
\(549\) 26.2768 21.4725i 1.12147 0.916425i
\(550\) 0.759221 + 10.1311i 0.0323733 + 0.431991i
\(551\) −5.89430 0.888423i −0.251106 0.0378481i
\(552\) −12.5954 21.5186i −0.536094 0.915890i
\(553\) 16.7538 + 17.3577i 0.712443 + 0.738126i
\(554\) 28.5380 41.8575i 1.21246 1.77836i
\(555\) 4.85425 + 20.6984i 0.206051 + 0.878596i
\(556\) −16.5830 13.2245i −0.703278 0.560845i
\(557\) 17.0326 9.83378i 0.721695 0.416671i −0.0936813 0.995602i \(-0.529863\pi\)
0.815376 + 0.578931i \(0.196530\pi\)
\(558\) 24.6300 + 60.6212i 1.04267 + 2.56630i
\(559\) −22.8447 18.2181i −0.966229 0.770542i
\(560\) 0.571023 + 0.591608i 0.0241301 + 0.0250000i
\(561\) 7.54708 + 10.9290i 0.318638 + 0.461422i
\(562\) −4.06664 5.09940i −0.171541 0.215105i
\(563\) 0.609877 8.13824i 0.0257032 0.342986i −0.969495 0.245110i \(-0.921176\pi\)
0.995199 0.0978763i \(-0.0312049\pi\)
\(564\) 39.3240 + 5.68763i 1.65584 + 0.239492i
\(565\) 7.46991 + 2.93172i 0.314261 + 0.123339i
\(566\) 0.349669 + 0.438471i 0.0146977 + 0.0184303i
\(567\) 8.00238 + 22.4268i 0.336068 + 0.941838i
\(568\) 20.7867 26.0658i 0.872192 1.09369i
\(569\) 17.4481 10.0737i 0.731464 0.422311i −0.0874936 0.996165i \(-0.527886\pi\)
0.818957 + 0.573854i \(0.194552\pi\)
\(570\) −44.2725 29.7995i −1.85437 1.24816i
\(571\) −14.6261 37.2666i −0.612082 1.55956i −0.814439 0.580249i \(-0.802955\pi\)
0.202357 0.979312i \(-0.435140\pi\)
\(572\) 12.9754 56.8490i 0.542529 2.37698i
\(573\) −7.54202 + 3.01203i −0.315073 + 0.125829i
\(574\) 30.6644 55.6140i 1.27991 2.32128i
\(575\) 2.22725 4.62494i 0.0928828 0.192873i
\(576\) 37.0692 + 10.9521i 1.54455 + 0.456338i
\(577\) −2.15358 + 0.161388i −0.0896546 + 0.00671868i −0.119482 0.992836i \(-0.538123\pi\)
0.0298272 + 0.999555i \(0.490504\pi\)
\(578\) −30.7770 7.02465i −1.28016 0.292187i
\(579\) −0.131062 + 0.166371i −0.00544675 + 0.00691416i
\(580\) 3.91253 + 4.21670i 0.162459 + 0.175089i
\(581\) 1.74606 + 10.2149i 0.0724386 + 0.423785i
\(582\) 2.03403 1.90999i 0.0843132 0.0791717i
\(583\) −0.0502909 + 0.0466631i −0.00208284 + 0.00193259i
\(584\) 13.0711 33.3047i 0.540887 1.37816i
\(585\) −10.5860 + 22.6695i −0.437678 + 0.937269i
\(586\) −24.2665 35.5925i −1.00244 1.47031i
\(587\) 18.7021 32.3930i 0.771919 1.33700i −0.164591 0.986362i \(-0.552630\pi\)
0.936510 0.350641i \(-0.114036\pi\)
\(588\) −10.5679 38.2213i −0.435814 1.57622i
\(589\) 32.0378 + 55.4910i 1.32009 + 2.28647i
\(590\) 15.5462 32.2821i 0.640028 1.32903i
\(591\) 4.49944 + 1.73502i 0.185082 + 0.0713692i
\(592\) 0.600639 + 0.753178i 0.0246861 + 0.0309554i
\(593\) 16.4121 + 5.06247i 0.673966 + 0.207891i 0.612802 0.790237i \(-0.290042\pi\)
0.0611642 + 0.998128i \(0.480519\pi\)
\(594\) −4.69651 50.5280i −0.192700 2.07319i
\(595\) 2.97544 + 9.01199i 0.121981 + 0.369455i
\(596\) 0.904437 2.93211i 0.0370472 0.120104i
\(597\) 19.7799 7.89943i 0.809538 0.323302i
\(598\) −32.2938 + 34.8045i −1.32059 + 1.42326i
\(599\) −15.1654 22.2435i −0.619640 0.908845i 0.380231 0.924891i \(-0.375844\pi\)
−0.999871 + 0.0160465i \(0.994892\pi\)
\(600\) −1.57931 5.01369i −0.0644750 0.204683i
\(601\) −3.35173 4.91609i −0.136720 0.200531i 0.751773 0.659423i \(-0.229199\pi\)
−0.888492 + 0.458891i \(0.848247\pi\)
\(602\) 38.5087 + 17.6191i 1.56950 + 0.718100i
\(603\) 2.75088 0.884585i 0.112025 0.0360231i
\(604\) −54.6061 50.6670i −2.22189 2.06161i
\(605\) 8.80303 11.0387i 0.357894 0.448785i
\(606\) 11.4367 + 0.788539i 0.464585 + 0.0320322i
\(607\) 25.1457i 1.02063i 0.859987 + 0.510316i \(0.170472\pi\)
−0.859987 + 0.510316i \(0.829528\pi\)
\(608\) 36.5209 + 5.50464i 1.48112 + 0.223243i
\(609\) −1.00225 3.92420i −0.0406133 0.159017i
\(610\) −51.0984 + 7.70184i −2.06891 + 0.311838i
\(611\) −4.38110 29.0667i −0.177240 1.17591i
\(612\) −13.1085 11.8753i −0.529881 0.480030i
\(613\) 15.8410 + 10.8002i 0.639812 + 0.436217i 0.839289 0.543686i \(-0.182972\pi\)
−0.199476 + 0.979903i \(0.563924\pi\)
\(614\) −0.473209 + 1.20572i −0.0190972 + 0.0486588i
\(615\) 29.6527 20.4768i 1.19571 0.825705i
\(616\) 0.646670 + 32.8271i 0.0260551 + 1.32264i
\(617\) −2.47073 + 16.3922i −0.0994677 + 0.659925i 0.882420 + 0.470462i \(0.155913\pi\)
−0.981888 + 0.189463i \(0.939325\pi\)
\(618\) 0.439018 6.36738i 0.0176599 0.256134i
\(619\) 3.01717i 0.121270i 0.998160 + 0.0606351i \(0.0193126\pi\)
−0.998160 + 0.0606351i \(0.980687\pi\)
\(620\) 9.21573 61.1424i 0.370112 2.45554i
\(621\) −10.7100 + 23.2964i −0.429779 + 0.934851i
\(622\) 14.3549 + 29.8083i 0.575580 + 1.19520i
\(623\) 3.13971 + 18.3681i 0.125790 + 0.735903i
\(624\) 0.00675780 + 1.13368i 0.000270529 + 0.0453836i
\(625\) −11.6694 + 14.6330i −0.466778 + 0.585321i
\(626\) 29.9956 20.4506i 1.19886 0.817371i
\(627\) −11.3462 48.3798i −0.453124 1.93210i
\(628\) −22.2544 + 32.6412i −0.888046 + 1.30252i
\(629\) 2.47428 + 10.8405i 0.0986559 + 0.432240i
\(630\) 6.94717 35.5890i 0.276782 1.41790i
\(631\) 10.6468 46.6468i 0.423843 1.85698i −0.0853853 0.996348i \(-0.527212\pi\)
0.509229 0.860631i \(-0.329931\pi\)
\(632\) 18.0930 + 19.4996i 0.719699 + 0.775651i
\(633\) −0.630947 + 0.435704i −0.0250779 + 0.0173177i
\(634\) 48.9253 + 15.0915i 1.94307 + 0.599358i
\(635\) −3.79889 1.82945i −0.150755 0.0725996i
\(636\) 0.0510164 0.0757940i 0.00202293 0.00300543i
\(637\) −24.8095 + 15.6579i −0.982990 + 0.620390i
\(638\) 8.63140i 0.341720i
\(639\) −34.2164 2.15430i −1.35358 0.0852228i
\(640\) −25.2125 27.1726i −0.996610 1.07409i
\(641\) −11.0046 + 8.77585i −0.434654 + 0.346625i −0.816245 0.577706i \(-0.803948\pi\)
0.381591 + 0.924331i \(0.375376\pi\)
\(642\) −6.96921 + 18.0733i −0.275053 + 0.713296i
\(643\) −6.28288 20.3686i −0.247773 0.803259i −0.990958 0.134173i \(-0.957162\pi\)
0.743185 0.669086i \(-0.233314\pi\)
\(644\) 20.6178 37.3931i 0.812456 1.47350i
\(645\) 15.0938 + 18.6972i 0.594316 + 0.736203i
\(646\) −23.0619 15.7233i −0.907359 0.618627i
\(647\) −15.4400 + 4.76261i −0.607010 + 0.187238i −0.582997 0.812474i \(-0.698120\pi\)
−0.0240122 + 0.999712i \(0.507644\pi\)
\(648\) 8.33504 + 24.8978i 0.327431 + 0.978080i
\(649\) 31.0569 12.1889i 1.21909 0.478458i
\(650\) −8.27026 + 5.63857i −0.324386 + 0.221163i
\(651\) −26.2625 + 34.7235i −1.02931 + 1.36092i
\(652\) −48.9141 33.3491i −1.91563 1.30605i
\(653\) 29.8202 + 6.80628i 1.16696 + 0.266350i 0.761748 0.647874i \(-0.224342\pi\)
0.405209 + 0.914224i \(0.367199\pi\)
\(654\) −4.67922 1.03870i −0.182972 0.0406163i
\(655\) 20.7515 0.810828
\(656\) 0.816444 1.41412i 0.0318768 0.0552122i
\(657\) −35.7691 + 8.61396i −1.39549 + 0.336063i
\(658\) 16.3424 + 39.3432i 0.637095 + 1.53376i
\(659\) 4.34505 + 28.8275i 0.169259 + 1.12296i 0.898587 + 0.438796i \(0.144595\pi\)
−0.729328 + 0.684164i \(0.760167\pi\)
\(660\) −20.5483 + 43.3277i −0.799840 + 1.68653i
\(661\) 13.2935 + 0.996214i 0.517059 + 0.0387482i 0.330705 0.943734i \(-0.392714\pi\)
0.186355 + 0.982483i \(0.440333\pi\)
\(662\) 62.1097 + 4.65448i 2.41396 + 0.180901i
\(663\) −5.60723 + 11.8233i −0.217767 + 0.459179i
\(664\) 1.70307 + 11.2991i 0.0660920 + 0.438492i
\(665\) 1.95562 35.4543i 0.0758357 1.37486i
\(666\) 12.0375 40.7430i 0.466445 1.57876i
\(667\) 2.18059 3.77690i 0.0844329 0.146242i
\(668\) 38.4102 1.48614
\(669\) −36.3612 8.07148i −1.40581 0.312062i
\(670\) −4.29000 0.979164i −0.165737 0.0378284i
\(671\) −39.7564 27.1055i −1.53478 1.04639i
\(672\) 6.20991 + 24.3142i 0.239552 + 0.937940i
\(673\) 11.3685 7.75094i 0.438225 0.298777i −0.324038 0.946044i \(-0.605041\pi\)
0.762263 + 0.647267i \(0.224088\pi\)
\(674\) −68.8183 + 27.0092i −2.65078 + 1.04036i
\(675\) −3.29417 + 4.28579i −0.126793 + 0.164960i
\(676\) 14.2675 4.40093i 0.548749 0.169267i
\(677\) 12.8312 + 8.74819i 0.493145 + 0.336220i 0.784223 0.620479i \(-0.213062\pi\)
−0.291078 + 0.956699i \(0.594014\pi\)
\(678\) −10.0727 12.4774i −0.386838 0.479192i
\(679\) 1.78444 + 0.512163i 0.0684806 + 0.0196550i
\(680\) 3.08451 + 9.99973i 0.118285 + 0.383472i
\(681\) 10.4587 27.1225i 0.400777 1.03934i
\(682\) 72.5398 57.8485i 2.77769 2.21513i
\(683\) 10.7041 + 11.5363i 0.409581 + 0.441423i 0.903827 0.427899i \(-0.140746\pi\)
−0.494246 + 0.869322i \(0.664556\pi\)
\(684\) 29.4222 + 59.2776i 1.12499 + 2.26653i
\(685\) 17.0395i 0.651046i
\(686\) 29.4063 30.7104i 1.12274 1.17253i
\(687\) −2.01513 + 2.99385i −0.0768822 + 0.114222i
\(688\) 0.981009 + 0.472429i 0.0374006 + 0.0180112i
\(689\) −0.0645891 0.0199231i −0.00246065 0.000759010i
\(690\) 32.1291 22.1869i 1.22313 0.844641i
\(691\) −23.4961 25.3227i −0.893832 0.963322i 0.105685 0.994400i \(-0.466297\pi\)
−0.999517 + 0.0310776i \(0.990106\pi\)
\(692\) 7.04932 30.8851i 0.267975 1.17407i
\(693\) 27.2819 19.8923i 1.03635 0.755647i
\(694\) −7.18141 31.4638i −0.272602 1.19435i
\(695\) 7.26933 10.6622i 0.275741 0.404438i
\(696\) −1.01969 4.34793i −0.0386513 0.164808i
\(697\) 15.5724 10.6171i 0.589846 0.402150i
\(698\) −27.5776 + 34.5812i −1.04383 + 1.30892i
\(699\) 0.296767 + 49.7853i 0.0112248 + 1.88305i
\(700\) 5.99187 6.71837i 0.226471 0.253931i
\(701\) −3.34842 6.95306i −0.126468 0.262614i 0.828115 0.560558i \(-0.189413\pi\)
−0.954583 + 0.297944i \(0.903699\pi\)
\(702\) 40.7989 28.8983i 1.53986 1.09070i
\(703\) 6.20050 41.1376i 0.233856 1.55154i
\(704\) 54.8085i 2.06567i
\(705\) −1.66277 + 24.1164i −0.0626237 + 0.908275i
\(706\) −10.9328 + 72.5346i −0.411463 + 2.72988i
\(707\) 3.44418 + 6.80567i 0.129532 + 0.255954i
\(708\) −36.5610 + 25.2474i −1.37405 + 0.948856i
\(709\) 3.62304 9.23136i 0.136066 0.346691i −0.846558 0.532296i \(-0.821329\pi\)
0.982624 + 0.185605i \(0.0594245\pi\)
\(710\) 43.1364 + 29.4099i 1.61888 + 1.10373i
\(711\) 5.76855 26.7392i 0.216338 1.00280i
\(712\) 3.06241 + 20.3178i 0.114769 + 0.761442i
\(713\) −46.3562 + 6.98708i −1.73606 + 0.261668i
\(714\) 3.74437 18.5917i 0.140130 0.695775i
\(715\) 35.0801 + 5.28747i 1.31192 + 0.197740i
\(716\) 35.0120i 1.30846i
\(717\) 6.12880 + 0.422568i 0.228884 + 0.0157811i
\(718\) −34.5948 + 43.3806i −1.29107 + 1.61895i
\(719\) 17.1904 + 15.9503i 0.641093 + 0.594847i 0.932244 0.361830i \(-0.117848\pi\)
−0.291151 + 0.956677i \(0.594038\pi\)
\(720\) 0.196611 0.911358i 0.00732726 0.0339643i
\(721\) 3.78905 1.91754i 0.141112 0.0714130i
\(722\) 34.2559 + 50.2442i 1.27487 + 1.86990i
\(723\) 6.30608 + 20.0193i 0.234526 + 0.744527i
\(724\) −13.4227 19.6875i −0.498851 0.731681i
\(725\) 0.625370 0.673989i 0.0232257 0.0250313i
\(726\) −26.2019 + 10.4642i −0.972444 + 0.388361i
\(727\) −0.490648 + 1.59064i −0.0181971 + 0.0589936i −0.964216 0.265118i \(-0.914589\pi\)
0.946019 + 0.324112i \(0.105065\pi\)
\(728\) −27.6909 + 16.7230i −1.02629 + 0.619797i
\(729\) 16.0686 21.6979i 0.595135 0.803626i
\(730\) 53.5377 + 16.5142i 1.98152 + 0.611217i
\(731\) 7.83584 + 9.82584i 0.289819 + 0.363422i
\(732\) 59.7889 + 23.0551i 2.20986 + 0.852140i
\(733\) 1.92206 3.99120i 0.0709929 0.147418i −0.862452 0.506138i \(-0.831072\pi\)
0.933445 + 0.358720i \(0.116787\pi\)
\(734\) −6.81012 11.7955i −0.251366 0.435379i
\(735\) 22.7083 8.14929i 0.837608 0.300591i
\(736\) −13.5109 + 23.4015i −0.498017 + 0.862591i
\(737\) −2.30811 3.38537i −0.0850202 0.124702i
\(738\) −71.7403 + 6.23707i −2.64080 + 0.229590i
\(739\) 13.5573 34.5435i 0.498714 1.27070i −0.430978 0.902363i \(-0.641831\pi\)
0.929691 0.368339i \(-0.120074\pi\)
\(740\) −29.4293 + 27.3064i −1.08184 + 1.00380i
\(741\) 35.6903 33.5139i 1.31112 1.23116i
\(742\) 0.0978129 + 0.00539526i 0.00359082 + 0.000198066i
\(743\) −18.8066 20.2687i −0.689946 0.743585i 0.286799 0.957991i \(-0.407409\pi\)
−0.976745 + 0.214406i \(0.931218\pi\)
\(744\) −29.7067 + 37.7100i −1.08910 + 1.38251i
\(745\) 1.82002 + 0.415409i 0.0666806 + 0.0152194i
\(746\) −16.5099 + 1.23725i −0.604471 + 0.0452988i
\(747\) 8.51789 8.09455i 0.311653 0.296164i
\(748\) −10.8820 + 22.5966i −0.397884 + 0.826215i
\(749\) −12.7040 + 2.17152i −0.464192 + 0.0793456i
\(750\) 44.3865 17.7265i 1.62077 0.647279i
\(751\) −0.702827 + 3.07929i −0.0256465 + 0.112365i −0.986131 0.165969i \(-0.946925\pi\)
0.960484 + 0.278334i \(0.0897820\pi\)
\(752\) 0.400186 + 1.01966i 0.0145933 + 0.0371831i
\(753\) 0.614547 + 0.413647i 0.0223953 + 0.0150741i
\(754\) −7.36466 + 4.25199i −0.268205 + 0.154848i
\(755\) 28.2568 35.4330i 1.02837 1.28954i
\(756\) −29.3240 + 34.0874i −1.06650 + 1.23975i
\(757\) −27.8609 34.9365i −1.01262 1.26979i −0.962568 0.271042i \(-0.912632\pi\)
−0.0500550 0.998746i \(-0.515940\pi\)
\(758\) −75.4071 29.5951i −2.73891 1.07494i
\(759\) 35.9823 + 5.20430i 1.30608 + 0.188904i
\(760\) 2.92590 39.0435i 0.106134 1.41626i
\(761\) 6.01396 + 7.54127i 0.218006 + 0.273371i 0.878794 0.477202i \(-0.158349\pi\)
−0.660788 + 0.750573i \(0.729778\pi\)
\(762\) 4.78784 + 6.93331i 0.173445 + 0.251167i
\(763\) −0.999850 3.02834i −0.0361970 0.109633i
\(764\) −11.9900 9.56168i −0.433782 0.345930i
\(765\) 6.60871 8.49283i 0.238939 0.307059i
\(766\) −37.0455 + 21.3882i −1.33851 + 0.772789i
\(767\) 25.6993 + 20.4945i 0.927949 + 0.740014i
\(768\) 6.72200 + 28.6624i 0.242559 + 1.03426i
\(769\) 13.1011 19.2157i 0.472436 0.692937i −0.513869 0.857869i \(-0.671788\pi\)
0.986305 + 0.164932i \(0.0527405\pi\)
\(770\) −51.1867 + 4.85141i −1.84464 + 0.174833i
\(771\) 19.3954 + 33.1360i 0.698507 + 1.19336i
\(772\) −0.395475 0.0596082i −0.0142334 0.00214535i
\(773\) −1.57100 20.9636i −0.0565050 0.754007i