Properties

Label 177.2.e.b.139.2
Level $177$
Weight $2$
Character 177.139
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 139.2
Character \(\chi\) \(=\) 177.139
Dual form 177.2.e.b.163.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.992185 - 0.596978i) q^{2} +(0.370138 - 0.928977i) q^{3} +(-0.308769 - 0.582400i) q^{4} +(-0.793835 - 0.0863348i) q^{5} +(-0.921824 + 0.700752i) q^{6} +(-4.18976 - 1.41169i) q^{7} +(-0.166703 + 3.07465i) q^{8} +(-0.725995 - 0.687699i) q^{9} +O(q^{10})\) \(q+(-0.992185 - 0.596978i) q^{2} +(0.370138 - 0.928977i) q^{3} +(-0.308769 - 0.582400i) q^{4} +(-0.793835 - 0.0863348i) q^{5} +(-0.921824 + 0.700752i) q^{6} +(-4.18976 - 1.41169i) q^{7} +(-0.166703 + 3.07465i) q^{8} +(-0.725995 - 0.687699i) q^{9} +(0.736091 + 0.559562i) q^{10} +(0.744195 + 1.09760i) q^{11} +(-0.655323 + 0.0712707i) q^{12} +(2.28411 - 2.16363i) q^{13} +(3.31426 + 3.90185i) q^{14} +(-0.374032 + 0.705499i) q^{15} +(1.26104 - 1.85990i) q^{16} +(-7.48680 + 2.52260i) q^{17} +(0.309780 + 1.11573i) q^{18} +(0.837472 - 5.10835i) q^{19} +(0.194830 + 0.488987i) q^{20} +(-2.86222 + 3.36966i) q^{21} +(-0.0831328 - 1.53329i) q^{22} +(0.662011 - 2.38435i) q^{23} +(2.79457 + 1.29291i) q^{24} +(-4.26038 - 0.937781i) q^{25} +(-3.55790 + 0.783152i) q^{26} +(-0.907575 + 0.419889i) q^{27} +(0.471496 + 2.87600i) q^{28} +(6.94296 - 4.17744i) q^{29} +(0.792275 - 0.476696i) q^{30} +(-0.686795 - 4.18927i) q^{31} +(3.22765 - 1.49327i) q^{32} +(1.29510 - 0.285074i) q^{33} +(8.93422 + 1.96657i) q^{34} +(3.20410 + 1.48237i) q^{35} +(-0.176351 + 0.635160i) q^{36} +(0.435953 + 8.04068i) q^{37} +(-3.88050 + 4.56848i) q^{38} +(-1.16452 - 2.92273i) q^{39} +(0.397784 - 2.42637i) q^{40} +(-1.62041 - 5.83619i) q^{41} +(4.85146 - 1.63465i) q^{42} +(6.39177 - 9.42715i) q^{43} +(0.409461 - 0.772325i) q^{44} +(0.516948 + 0.608599i) q^{45} +(-2.08024 + 1.97051i) q^{46} +(3.69898 - 0.402288i) q^{47} +(-1.26104 - 1.85990i) q^{48} +(9.98853 + 7.59308i) q^{49} +(3.66725 + 3.47380i) q^{50} +(-0.427717 + 7.88877i) q^{51} +(-1.96536 - 0.662206i) q^{52} +(-1.10424 + 0.839421i) q^{53} +(1.15115 + 0.125195i) q^{54} +(-0.496006 - 0.935567i) q^{55} +(5.03891 - 12.6467i) q^{56} +(-4.43556 - 2.66879i) q^{57} -9.38254 q^{58} +(-7.67111 + 0.392457i) q^{59} +0.526372 q^{60} +(8.88976 + 5.34879i) q^{61} +(-1.81947 + 4.56653i) q^{62} +(2.07092 + 3.90618i) q^{63} +(-8.56172 - 0.931143i) q^{64} +(-2.00000 + 1.52036i) q^{65} +(-1.45517 - 0.490302i) q^{66} +(-0.0694302 + 1.28056i) q^{67} +(3.78085 + 3.58141i) q^{68} +(-1.96997 - 1.49753i) q^{69} +(-2.29411 - 3.38356i) q^{70} +(0.433685 - 0.0471661i) q^{71} +(2.23546 - 2.11754i) q^{72} +(-1.39656 - 1.64416i) q^{73} +(4.36756 - 8.23809i) q^{74} +(-2.44811 + 3.61069i) q^{75} +(-3.23369 + 1.08956i) q^{76} +(-1.56851 - 5.64927i) q^{77} +(-0.589383 + 3.59508i) q^{78} +(-1.73950 - 4.36581i) q^{79} +(-1.16163 + 1.36758i) q^{80} +(0.0541389 + 0.998533i) q^{81} +(-1.87633 + 6.75792i) q^{82} +(-3.34065 - 1.54555i) q^{83} +(2.84626 + 0.626509i) q^{84} +(6.16107 - 1.35615i) q^{85} +(-11.9696 + 5.53773i) q^{86} +(-1.31089 - 7.99608i) q^{87} +(-3.49881 + 2.10516i) q^{88} +(-5.98712 + 3.60233i) q^{89} +(-0.149588 - 0.912449i) q^{90} +(-12.6243 + 5.84060i) q^{91} +(-1.59305 + 0.350658i) q^{92} +(-4.14594 - 0.912590i) q^{93} +(-3.91022 - 1.80906i) q^{94} +(-1.10584 + 3.98289i) q^{95} +(-0.192536 - 3.55112i) q^{96} +(-6.66777 + 7.84990i) q^{97} +(-5.37756 - 13.4967i) q^{98} +(0.214540 - 1.30864i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q + q^{2} + 5q^{3} - q^{4} + 2q^{5} - q^{6} - 2q^{7} - 3q^{8} - 5q^{9} + O(q^{10}) \) \( 140q + q^{2} + 5q^{3} - q^{4} + 2q^{5} - q^{6} - 2q^{7} - 3q^{8} - 5q^{9} - 116q^{10} + 2q^{11} + q^{12} + 4q^{13} - 43q^{14} - 2q^{15} + 7q^{16} + q^{18} - 2q^{19} + 4q^{20} - 27q^{21} + 6q^{22} + 6q^{23} + 3q^{24} - 57q^{25} + 12q^{26} + 5q^{27} - 10q^{28} - 4q^{29} - 12q^{31} - 150q^{32} - 2q^{33} - 2q^{34} + 6q^{35} - q^{36} + 12q^{37} - 12q^{38} - 4q^{39} - 66q^{40} - 4q^{41} + 14q^{42} - 60q^{43} + 20q^{44} + 2q^{45} + 76q^{46} - 25q^{47} - 7q^{48} + 31q^{49} + 137q^{50} + 118q^{52} + 48q^{53} - q^{54} + 93q^{55} + 228q^{56} + 2q^{57} - 120q^{58} + 57q^{59} - 4q^{60} + 72q^{61} - 179q^{62} - 2q^{63} + 249q^{64} - 39q^{65} - 6q^{66} + 40q^{67} + 94q^{68} - 64q^{69} + 94q^{70} + 30q^{71} - 3q^{72} - 205q^{73} + 66q^{74} - q^{75} - 216q^{76} - 46q^{77} - 12q^{78} + 4q^{79} - 356q^{80} - 5q^{81} - 28q^{82} + 4q^{83} - 135q^{84} + 50q^{85} - 18q^{86} - 54q^{87} - 162q^{88} + 26q^{89} - 198q^{91} + 10q^{92} + 12q^{93} - 4q^{94} - 326q^{95} + 5q^{96} - 20q^{97} - 143q^{98} + 2q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{5}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.992185 0.596978i −0.701580 0.422127i 0.119580 0.992825i \(-0.461845\pi\)
−0.821160 + 0.570698i \(0.806673\pi\)
\(3\) 0.370138 0.928977i 0.213699 0.536345i
\(4\) −0.308769 0.582400i −0.154384 0.291200i
\(5\) −0.793835 0.0863348i −0.355014 0.0386101i −0.0711254 0.997467i \(-0.522659\pi\)
−0.283888 + 0.958857i \(0.591625\pi\)
\(6\) −0.921824 + 0.700752i −0.376333 + 0.286081i
\(7\) −4.18976 1.41169i −1.58358 0.533570i −0.616349 0.787473i \(-0.711389\pi\)
−0.967230 + 0.253903i \(0.918286\pi\)
\(8\) −0.166703 + 3.07465i −0.0589383 + 1.08705i
\(9\) −0.725995 0.687699i −0.241998 0.229233i
\(10\) 0.736091 + 0.559562i 0.232772 + 0.176949i
\(11\) 0.744195 + 1.09760i 0.224383 + 0.330940i 0.923172 0.384388i \(-0.125588\pi\)
−0.698789 + 0.715328i \(0.746277\pi\)
\(12\) −0.655323 + 0.0712707i −0.189176 + 0.0205741i
\(13\) 2.28411 2.16363i 0.633499 0.600082i −0.302045 0.953294i \(-0.597669\pi\)
0.935543 + 0.353212i \(0.114911\pi\)
\(14\) 3.31426 + 3.90185i 0.885774 + 1.04281i
\(15\) −0.374032 + 0.705499i −0.0965746 + 0.182159i
\(16\) 1.26104 1.85990i 0.315260 0.464974i
\(17\) −7.48680 + 2.52260i −1.81582 + 0.611819i −0.816405 + 0.577480i \(0.804036\pi\)
−0.999410 + 0.0343397i \(0.989067\pi\)
\(18\) 0.309780 + 1.11573i 0.0730159 + 0.262980i
\(19\) 0.837472 5.10835i 0.192129 1.17194i −0.697956 0.716141i \(-0.745907\pi\)
0.890085 0.455795i \(-0.150645\pi\)
\(20\) 0.194830 + 0.488987i 0.0435654 + 0.109341i
\(21\) −2.86222 + 3.36966i −0.624587 + 0.735321i
\(22\) −0.0831328 1.53329i −0.0177240 0.326899i
\(23\) 0.662011 2.38435i 0.138039 0.497171i −0.861912 0.507057i \(-0.830733\pi\)
0.999951 + 0.00988634i \(0.00314697\pi\)
\(24\) 2.79457 + 1.29291i 0.570440 + 0.263914i
\(25\) −4.26038 0.937781i −0.852076 0.187556i
\(26\) −3.55790 + 0.783152i −0.697761 + 0.153589i
\(27\) −0.907575 + 0.419889i −0.174663 + 0.0808077i
\(28\) 0.471496 + 2.87600i 0.0891045 + 0.543513i
\(29\) 6.94296 4.17744i 1.28928 0.775732i 0.304997 0.952353i \(-0.401345\pi\)
0.984279 + 0.176622i \(0.0565169\pi\)
\(30\) 0.792275 0.476696i 0.144649 0.0870324i
\(31\) −0.686795 4.18927i −0.123352 0.752414i −0.973978 0.226643i \(-0.927225\pi\)
0.850626 0.525771i \(-0.176223\pi\)
\(32\) 3.22765 1.49327i 0.570573 0.263975i
\(33\) 1.29510 0.285074i 0.225449 0.0496250i
\(34\) 8.93422 + 1.96657i 1.53221 + 0.337264i
\(35\) 3.20410 + 1.48237i 0.541591 + 0.250567i
\(36\) −0.176351 + 0.635160i −0.0293919 + 0.105860i
\(37\) 0.435953 + 8.04068i 0.0716702 + 1.32188i 0.784319 + 0.620358i \(0.213013\pi\)
−0.712649 + 0.701521i \(0.752505\pi\)
\(38\) −3.88050 + 4.56848i −0.629500 + 0.741105i
\(39\) −1.16452 2.92273i −0.186473 0.468011i
\(40\) 0.397784 2.42637i 0.0628951 0.383643i
\(41\) −1.62041 5.83619i −0.253065 0.911459i −0.975496 0.220016i \(-0.929389\pi\)
0.722431 0.691443i \(-0.243025\pi\)
\(42\) 4.85146 1.63465i 0.748597 0.252232i
\(43\) 6.39177 9.42715i 0.974735 1.43763i 0.0770311 0.997029i \(-0.475456\pi\)
0.897704 0.440598i \(-0.145234\pi\)
\(44\) 0.409461 0.772325i 0.0617286 0.116432i
\(45\) 0.516948 + 0.608599i 0.0770621 + 0.0907245i
\(46\) −2.08024 + 1.97051i −0.306715 + 0.290536i
\(47\) 3.69898 0.402288i 0.539551 0.0586797i 0.165714 0.986174i \(-0.447007\pi\)
0.373837 + 0.927494i \(0.378042\pi\)
\(48\) −1.26104 1.85990i −0.182016 0.268453i
\(49\) 9.98853 + 7.59308i 1.42693 + 1.08473i
\(50\) 3.66725 + 3.47380i 0.518628 + 0.491270i
\(51\) −0.427717 + 7.88877i −0.0598923 + 1.10465i
\(52\) −1.96536 0.662206i −0.272546 0.0918315i
\(53\) −1.10424 + 0.839421i −0.151679 + 0.115303i −0.678261 0.734821i \(-0.737266\pi\)
0.526582 + 0.850124i \(0.323473\pi\)
\(54\) 1.15115 + 0.125195i 0.156651 + 0.0170368i
\(55\) −0.496006 0.935567i −0.0668815 0.126152i
\(56\) 5.03891 12.6467i 0.673352 1.68999i
\(57\) −4.43556 2.66879i −0.587504 0.353490i
\(58\) −9.38254 −1.23199
\(59\) −7.67111 + 0.392457i −0.998694 + 0.0510936i
\(60\) 0.526372 0.0679543
\(61\) 8.88976 + 5.34879i 1.13822 + 0.684843i 0.954522 0.298140i \(-0.0963664\pi\)
0.183696 + 0.982983i \(0.441194\pi\)
\(62\) −1.81947 + 4.56653i −0.231073 + 0.579949i
\(63\) 2.07092 + 3.90618i 0.260912 + 0.492132i
\(64\) −8.56172 0.931143i −1.07021 0.116393i
\(65\) −2.00000 + 1.52036i −0.248070 + 0.188578i
\(66\) −1.45517 0.490302i −0.179118 0.0603520i
\(67\) −0.0694302 + 1.28056i −0.00848225 + 0.156446i 0.991224 + 0.132195i \(0.0422027\pi\)
−0.999706 + 0.0242504i \(0.992280\pi\)
\(68\) 3.78085 + 3.58141i 0.458495 + 0.434310i
\(69\) −1.96997 1.49753i −0.237156 0.180282i
\(70\) −2.29411 3.38356i −0.274199 0.404413i
\(71\) 0.433685 0.0471661i 0.0514689 0.00559758i −0.0823483 0.996604i \(-0.526242\pi\)
0.133817 + 0.991006i \(0.457276\pi\)
\(72\) 2.23546 2.11754i 0.263451 0.249555i
\(73\) −1.39656 1.64416i −0.163455 0.192434i 0.674337 0.738424i \(-0.264430\pi\)
−0.837792 + 0.545990i \(0.816154\pi\)
\(74\) 4.36756 8.23809i 0.507718 0.957659i
\(75\) −2.44811 + 3.61069i −0.282683 + 0.416926i
\(76\) −3.23369 + 1.08956i −0.370930 + 0.124981i
\(77\) −1.56851 5.64927i −0.178749 0.643794i
\(78\) −0.589383 + 3.59508i −0.0667345 + 0.407063i
\(79\) −1.73950 4.36581i −0.195709 0.491191i 0.798070 0.602565i \(-0.205854\pi\)
−0.993779 + 0.111373i \(0.964475\pi\)
\(80\) −1.16163 + 1.36758i −0.129875 + 0.152900i
\(81\) 0.0541389 + 0.998533i 0.00601543 + 0.110948i
\(82\) −1.87633 + 6.75792i −0.207206 + 0.746288i
\(83\) −3.34065 1.54555i −0.366684 0.169646i 0.227890 0.973687i \(-0.426817\pi\)
−0.594574 + 0.804041i \(0.702679\pi\)
\(84\) 2.84626 + 0.626509i 0.310552 + 0.0683577i
\(85\) 6.16107 1.35615i 0.668262 0.147096i
\(86\) −11.9696 + 5.53773i −1.29072 + 0.597149i
\(87\) −1.31089 7.99608i −0.140542 0.857270i
\(88\) −3.49881 + 2.10516i −0.372974 + 0.224411i
\(89\) −5.98712 + 3.60233i −0.634634 + 0.381846i −0.796216 0.605013i \(-0.793168\pi\)
0.161582 + 0.986859i \(0.448340\pi\)
\(90\) −0.149588 0.912449i −0.0157680 0.0961806i
\(91\) −12.6243 + 5.84060i −1.32338 + 0.612261i
\(92\) −1.59305 + 0.350658i −0.166087 + 0.0365586i
\(93\) −4.14594 0.912590i −0.429914 0.0946312i
\(94\) −3.91022 1.80906i −0.403309 0.186590i
\(95\) −1.10584 + 3.98289i −0.113457 + 0.408635i
\(96\) −0.192536 3.55112i −0.0196507 0.362435i
\(97\) −6.66777 + 7.84990i −0.677009 + 0.797037i −0.988177 0.153318i \(-0.951004\pi\)
0.311167 + 0.950355i \(0.399280\pi\)
\(98\) −5.37756 13.4967i −0.543216 1.36337i
\(99\) 0.214540 1.30864i 0.0215621 0.131523i
\(100\) 0.769310 + 2.77080i 0.0769310 + 0.277080i
\(101\) 0.188243 0.0634265i 0.0187309 0.00631117i −0.309920 0.950762i \(-0.600302\pi\)
0.328651 + 0.944451i \(0.393406\pi\)
\(102\) 5.13379 7.57178i 0.508321 0.749718i
\(103\) −2.88236 + 5.43671i −0.284008 + 0.535695i −0.983937 0.178517i \(-0.942870\pi\)
0.699929 + 0.714212i \(0.253215\pi\)
\(104\) 6.27162 + 7.38353i 0.614983 + 0.724014i
\(105\) 2.56305 2.42785i 0.250128 0.236934i
\(106\) 1.59672 0.173654i 0.155088 0.0168668i
\(107\) −5.57926 8.22880i −0.539368 0.795508i 0.456168 0.889894i \(-0.349222\pi\)
−0.995536 + 0.0943857i \(0.969911\pi\)
\(108\) 0.524775 + 0.398923i 0.0504965 + 0.0383864i
\(109\) 3.79341 + 3.59331i 0.363343 + 0.344177i 0.847491 0.530809i \(-0.178112\pi\)
−0.484148 + 0.874986i \(0.660871\pi\)
\(110\) −0.0663829 + 1.22436i −0.00632936 + 0.116738i
\(111\) 7.63097 + 2.57117i 0.724299 + 0.244045i
\(112\) −7.90906 + 6.01231i −0.747336 + 0.568110i
\(113\) −7.13771 0.776273i −0.671459 0.0730256i −0.233963 0.972246i \(-0.575169\pi\)
−0.437497 + 0.899220i \(0.644135\pi\)
\(114\) 2.80769 + 5.29586i 0.262964 + 0.496003i
\(115\) −0.731380 + 1.83563i −0.0682015 + 0.171173i
\(116\) −4.57671 2.75372i −0.424937 0.255676i
\(117\) −3.14618 −0.290864
\(118\) 7.84545 + 4.19009i 0.722232 + 0.385729i
\(119\) 34.9290 3.20194
\(120\) −2.10681 1.26762i −0.192324 0.115718i
\(121\) 3.42061 8.58508i 0.310964 0.780462i
\(122\) −5.62718 10.6140i −0.509461 0.960945i
\(123\) −6.02146 0.654873i −0.542936 0.0590479i
\(124\) −2.22777 + 1.69350i −0.200059 + 0.152081i
\(125\) 7.08466 + 2.38710i 0.633671 + 0.213509i
\(126\) 0.277161 5.11194i 0.0246915 0.455408i
\(127\) 11.3503 + 10.7516i 1.00718 + 0.954049i 0.998945 0.0459172i \(-0.0146210\pi\)
0.00823195 + 0.999966i \(0.497380\pi\)
\(128\) 2.27658 + 1.73061i 0.201223 + 0.152966i
\(129\) −6.39177 9.42715i −0.562764 0.830014i
\(130\) 2.89200 0.314524i 0.253645 0.0275856i
\(131\) 6.01093 5.69385i 0.525177 0.497474i −0.378551 0.925580i \(-0.623578\pi\)
0.903728 + 0.428106i \(0.140819\pi\)
\(132\) −0.565915 0.666247i −0.0492566 0.0579893i
\(133\) −10.7202 + 20.2205i −0.929562 + 1.75334i
\(134\) 0.833356 1.22911i 0.0719910 0.106179i
\(135\) 0.756716 0.254967i 0.0651278 0.0219441i
\(136\) −6.50803 23.4398i −0.558059 2.00995i
\(137\) −1.85540 + 11.3174i −0.158518 + 0.966914i 0.781029 + 0.624494i \(0.214695\pi\)
−0.939547 + 0.342420i \(0.888753\pi\)
\(138\) 1.06058 + 2.66186i 0.0902826 + 0.226592i
\(139\) 12.1020 14.2476i 1.02648 1.20847i 0.0487070 0.998813i \(-0.484490\pi\)
0.977775 0.209655i \(-0.0672342\pi\)
\(140\) −0.125992 2.32378i −0.0106482 0.196395i
\(141\) 0.995416 3.58516i 0.0838291 0.301925i
\(142\) −0.458453 0.212103i −0.0384725 0.0177993i
\(143\) 4.07463 + 0.896894i 0.340738 + 0.0750020i
\(144\) −2.19456 + 0.483059i −0.182880 + 0.0402550i
\(145\) −5.87223 + 2.71678i −0.487662 + 0.225616i
\(146\) 0.404120 + 2.46502i 0.0334452 + 0.204007i
\(147\) 10.7509 6.46862i 0.886722 0.533523i
\(148\) 4.54828 2.73661i 0.373866 0.224948i
\(149\) 2.87916 + 17.5621i 0.235870 + 1.43874i 0.793458 + 0.608625i \(0.208278\pi\)
−0.557588 + 0.830118i \(0.688273\pi\)
\(150\) 4.58447 2.12100i 0.374321 0.173179i
\(151\) 12.4650 2.74375i 1.01439 0.223283i 0.323485 0.946233i \(-0.395145\pi\)
0.690900 + 0.722950i \(0.257214\pi\)
\(152\) 15.5668 + 3.42651i 1.26263 + 0.277926i
\(153\) 7.17017 + 3.31727i 0.579674 + 0.268186i
\(154\) −1.81623 + 6.54149i −0.146356 + 0.527128i
\(155\) 0.183523 + 3.38488i 0.0147409 + 0.271880i
\(156\) −1.34263 + 1.58066i −0.107496 + 0.126554i
\(157\) −7.26263 18.2278i −0.579621 1.45474i −0.867678 0.497126i \(-0.834389\pi\)
0.288057 0.957613i \(-0.406991\pi\)
\(158\) −0.880387 + 5.37013i −0.0700399 + 0.427224i
\(159\) 0.371081 + 1.33651i 0.0294287 + 0.105992i
\(160\) −2.69114 + 0.906750i −0.212753 + 0.0716849i
\(161\) −6.13964 + 9.05528i −0.483871 + 0.713656i
\(162\) 0.542386 1.02305i 0.0426139 0.0803783i
\(163\) −7.48651 8.81380i −0.586388 0.690350i 0.386324 0.922363i \(-0.373745\pi\)
−0.972713 + 0.232013i \(0.925469\pi\)
\(164\) −2.89866 + 2.74576i −0.226347 + 0.214408i
\(165\) −1.05271 + 0.114489i −0.0819534 + 0.00891297i
\(166\) 2.39188 + 3.52777i 0.185646 + 0.273808i
\(167\) −3.21429 2.44344i −0.248729 0.189079i 0.473380 0.880858i \(-0.343034\pi\)
−0.722109 + 0.691780i \(0.756827\pi\)
\(168\) −9.88340 9.36205i −0.762521 0.722298i
\(169\) −0.167915 + 3.09700i −0.0129165 + 0.238231i
\(170\) −6.92251 2.33247i −0.530933 0.178892i
\(171\) −4.12101 + 3.13271i −0.315142 + 0.239564i
\(172\) −7.46395 0.811754i −0.569121 0.0618956i
\(173\) −3.10214 5.85125i −0.235851 0.444862i 0.737129 0.675752i \(-0.236181\pi\)
−0.972980 + 0.230890i \(0.925836\pi\)
\(174\) −3.47284 + 8.71616i −0.263275 + 0.660771i
\(175\) 16.5261 + 9.94343i 1.24926 + 0.751652i
\(176\) 2.97989 0.224618
\(177\) −2.47479 + 7.27155i −0.186016 + 0.546563i
\(178\) 8.09084 0.606434
\(179\) 7.43790 + 4.47524i 0.555935 + 0.334495i 0.765639 0.643270i \(-0.222423\pi\)
−0.209705 + 0.977765i \(0.567250\pi\)
\(180\) 0.194830 0.488987i 0.0145218 0.0364469i
\(181\) 3.00529 + 5.66857i 0.223381 + 0.421341i 0.969718 0.244227i \(-0.0785341\pi\)
−0.746337 + 0.665568i \(0.768189\pi\)
\(182\) 16.0123 + 1.74144i 1.18691 + 0.129084i
\(183\) 8.25935 6.27859i 0.610548 0.464127i
\(184\) 7.22068 + 2.43293i 0.532315 + 0.179358i
\(185\) 0.348115 6.42061i 0.0255940 0.472053i
\(186\) 3.56874 + 3.38049i 0.261673 + 0.247870i
\(187\) −8.34045 6.34024i −0.609914 0.463645i
\(188\) −1.37642 2.03007i −0.100386 0.148058i
\(189\) 4.39527 0.478015i 0.319709 0.0347705i
\(190\) 3.47489 3.29159i 0.252095 0.238797i
\(191\) −16.4433 19.3585i −1.18979 1.40073i −0.895526 0.445009i \(-0.853201\pi\)
−0.294266 0.955723i \(-0.595075\pi\)
\(192\) −4.03403 + 7.60898i −0.291131 + 0.549131i
\(193\) 0.407806 0.601468i 0.0293545 0.0432946i −0.812729 0.582642i \(-0.802019\pi\)
0.842083 + 0.539348i \(0.181329\pi\)
\(194\) 11.3019 3.80805i 0.811427 0.273402i
\(195\) 0.672105 + 2.42070i 0.0481304 + 0.173350i
\(196\) 1.33806 8.16183i 0.0955760 0.582988i
\(197\) −0.971271 2.43771i −0.0692002 0.173679i 0.890309 0.455357i \(-0.150488\pi\)
−0.959509 + 0.281678i \(0.909109\pi\)
\(198\) −0.994092 + 1.17034i −0.0706470 + 0.0831721i
\(199\) 0.0527440 + 0.972806i 0.00373892 + 0.0689604i 0.999807 0.0196264i \(-0.00624769\pi\)
−0.996068 + 0.0885868i \(0.971765\pi\)
\(200\) 3.59356 12.9429i 0.254103 0.915198i
\(201\) 1.16392 + 0.538485i 0.0820963 + 0.0379818i
\(202\) −0.224636 0.0494461i −0.0158053 0.00347902i
\(203\) −34.9866 + 7.70113i −2.45558 + 0.540513i
\(204\) 4.72649 2.18670i 0.330920 0.153100i
\(205\) 0.782472 + 4.77287i 0.0546502 + 0.333351i
\(206\) 6.10543 3.67352i 0.425386 0.255946i
\(207\) −2.12033 + 1.27576i −0.147373 + 0.0886716i
\(208\) −1.14376 6.97664i −0.0793056 0.483743i
\(209\) 6.23019 2.88239i 0.430951 0.199379i
\(210\) −3.99239 + 0.878791i −0.275501 + 0.0606424i
\(211\) −3.55199 0.781851i −0.244529 0.0538248i 0.0910148 0.995850i \(-0.470989\pi\)
−0.335544 + 0.942025i \(0.608920\pi\)
\(212\) 0.829833 + 0.383922i 0.0569932 + 0.0263679i
\(213\) 0.116707 0.420341i 0.00799664 0.0288013i
\(214\) 0.623251 + 11.4952i 0.0426045 + 0.785795i
\(215\) −5.88790 + 6.93177i −0.401551 + 0.472743i
\(216\) −1.13972 2.86047i −0.0775479 0.194631i
\(217\) −3.03645 + 18.5215i −0.206128 + 1.25732i
\(218\) −1.61864 5.82981i −0.109628 0.394845i
\(219\) −2.04430 + 0.688806i −0.138141 + 0.0465452i
\(220\) −0.391723 + 0.577748i −0.0264100 + 0.0389518i
\(221\) −11.6427 + 21.9605i −0.783175 + 1.47722i
\(222\) −6.03639 7.10659i −0.405136 0.476963i
\(223\) 3.70796 3.51237i 0.248304 0.235206i −0.553417 0.832904i \(-0.686677\pi\)
0.801721 + 0.597698i \(0.203918\pi\)
\(224\) −15.6311 + 1.69998i −1.04440 + 0.113585i
\(225\) 2.44811 + 3.61069i 0.163207 + 0.240712i
\(226\) 6.61851 + 5.03126i 0.440257 + 0.334674i
\(227\) 9.29992 + 8.80935i 0.617257 + 0.584697i 0.931094 0.364780i \(-0.118856\pi\)
−0.313836 + 0.949477i \(0.601614\pi\)
\(228\) −0.184739 + 3.40731i −0.0122346 + 0.225655i
\(229\) 20.8942 + 7.04007i 1.38073 + 0.465221i 0.909100 0.416578i \(-0.136771\pi\)
0.471626 + 0.881799i \(0.343667\pi\)
\(230\) 1.82149 1.38466i 0.120106 0.0913019i
\(231\) −5.82861 0.633899i −0.383494 0.0417075i
\(232\) 11.6868 + 22.0436i 0.767273 + 1.44723i
\(233\) 4.30895 10.8147i 0.282289 0.708492i −0.717638 0.696416i \(-0.754777\pi\)
0.999927 0.0120755i \(-0.00384385\pi\)
\(234\) 3.12159 + 1.87820i 0.204065 + 0.122782i
\(235\) −2.97111 −0.193814
\(236\) 2.59717 + 4.34648i 0.169061 + 0.282932i
\(237\) −4.69959 −0.305271
\(238\) −34.6560 20.8518i −2.24642 1.35162i
\(239\) −4.80006 + 12.0472i −0.310490 + 0.779271i 0.688071 + 0.725643i \(0.258458\pi\)
−0.998561 + 0.0536279i \(0.982922\pi\)
\(240\) 0.840486 + 1.58532i 0.0542531 + 0.102332i
\(241\) −14.3385 1.55941i −0.923624 0.100450i −0.366066 0.930589i \(-0.619296\pi\)
−0.557557 + 0.830139i \(0.688261\pi\)
\(242\) −8.51898 + 6.47596i −0.547621 + 0.416290i
\(243\) 0.947653 + 0.319302i 0.0607920 + 0.0204832i
\(244\) 0.370254 6.82894i 0.0237031 0.437178i
\(245\) −7.27370 6.89001i −0.464699 0.440187i
\(246\) 5.58345 + 4.24443i 0.355988 + 0.270615i
\(247\) −9.13968 13.4800i −0.581544 0.857713i
\(248\) 12.9950 1.41329i 0.825184 0.0897442i
\(249\) −2.67228 + 2.53132i −0.169349 + 0.160416i
\(250\) −5.60424 6.59783i −0.354444 0.417283i
\(251\) 3.75643 7.08538i 0.237104 0.447225i −0.736194 0.676770i \(-0.763379\pi\)
0.973298 + 0.229545i \(0.0737238\pi\)
\(252\) 1.63552 2.41221i 0.103028 0.151955i
\(253\) 3.10974 1.04779i 0.195508 0.0658742i
\(254\) −4.84315 17.4434i −0.303886 1.09450i
\(255\) 1.02061 6.22546i 0.0639132 0.389853i
\(256\) 5.14976 + 12.9249i 0.321860 + 0.807807i
\(257\) 16.5510 19.4853i 1.03242 1.21546i 0.0562614 0.998416i \(-0.482082\pi\)
0.976161 0.217046i \(-0.0696421\pi\)
\(258\) 0.714014 + 13.1692i 0.0444526 + 0.819880i
\(259\) 9.52443 34.3039i 0.591820 2.13154i
\(260\) 1.50300 + 0.695362i 0.0932121 + 0.0431245i
\(261\) −7.91338 1.74187i −0.489826 0.107819i
\(262\) −9.36305 + 2.06096i −0.578451 + 0.127327i
\(263\) 20.8210 9.63280i 1.28388 0.593984i 0.345117 0.938560i \(-0.387839\pi\)
0.938758 + 0.344576i \(0.111977\pi\)
\(264\) 0.660605 + 4.02951i 0.0406574 + 0.247999i
\(265\) 0.949055 0.571027i 0.0583000 0.0350779i
\(266\) 22.7076 13.6627i 1.39229 0.837715i
\(267\) 1.13042 + 6.89526i 0.0691806 + 0.421983i
\(268\) 0.767238 0.354962i 0.0468665 0.0216828i
\(269\) −29.4845 + 6.49003i −1.79770 + 0.395704i −0.982916 0.184056i \(-0.941077\pi\)
−0.814787 + 0.579760i \(0.803146\pi\)
\(270\) −0.903012 0.198768i −0.0549556 0.0120966i
\(271\) 6.39160 + 2.95707i 0.388262 + 0.179629i 0.604302 0.796755i \(-0.293452\pi\)
−0.216040 + 0.976384i \(0.569314\pi\)
\(272\) −4.74940 + 17.1058i −0.287974 + 1.03719i
\(273\) 0.753065 + 13.8895i 0.0455776 + 0.840629i
\(274\) 8.59716 10.1214i 0.519373 0.611454i
\(275\) −2.14124 5.37411i −0.129122 0.324071i
\(276\) −0.263897 + 1.60970i −0.0158847 + 0.0968926i
\(277\) −4.24669 15.2952i −0.255159 0.919000i −0.974508 0.224351i \(-0.927974\pi\)
0.719349 0.694649i \(-0.244440\pi\)
\(278\) −20.5130 + 6.91163i −1.23029 + 0.414532i
\(279\) −2.38235 + 3.51370i −0.142627 + 0.210360i
\(280\) −5.09191 + 9.60436i −0.304300 + 0.573970i
\(281\) 6.91504 + 8.14101i 0.412517 + 0.485652i 0.928703 0.370824i \(-0.120925\pi\)
−0.516187 + 0.856476i \(0.672649\pi\)
\(282\) −3.12790 + 2.96290i −0.186264 + 0.176438i
\(283\) −4.66278 + 0.507108i −0.277174 + 0.0301445i −0.245650 0.969359i \(-0.579001\pi\)
−0.0315236 + 0.999503i \(0.510036\pi\)
\(284\) −0.161378 0.238015i −0.00957602 0.0141236i
\(285\) 3.29069 + 2.50152i 0.194924 + 0.148177i
\(286\) −3.50736 3.32235i −0.207395 0.196455i
\(287\) −1.44979 + 26.7397i −0.0855781 + 1.57840i
\(288\) −3.37018 1.13554i −0.198590 0.0669126i
\(289\) 36.1551 27.4844i 2.12677 1.61673i
\(290\) 7.44819 + 0.810040i 0.437373 + 0.0475672i
\(291\) 4.82438 + 9.09975i 0.282810 + 0.533437i
\(292\) −0.526342 + 1.32102i −0.0308019 + 0.0773068i
\(293\) −8.14496 4.90066i −0.475834 0.286300i 0.257365 0.966314i \(-0.417146\pi\)
−0.733198 + 0.680015i \(0.761973\pi\)
\(294\) −14.5285 −0.847321
\(295\) 6.12348 + 0.350737i 0.356523 + 0.0204207i
\(296\) −24.7949 −1.44118
\(297\) −1.13629 0.683680i −0.0659339 0.0396711i
\(298\) 7.62752 19.1436i 0.441850 1.10896i
\(299\) −3.64673 6.87847i −0.210896 0.397792i
\(300\) 2.85876 + 0.310909i 0.165051 + 0.0179504i
\(301\) −40.0882 + 30.4743i −2.31065 + 1.75651i
\(302\) −14.0055 4.71901i −0.805927 0.271548i
\(303\) 0.0107542 0.198350i 0.000617814 0.0113949i
\(304\) −8.44492 7.99946i −0.484350 0.458800i
\(305\) −6.59522 5.01356i −0.377641 0.287075i
\(306\) −5.13379 7.57178i −0.293479 0.432850i
\(307\) −9.36164 + 1.01814i −0.534297 + 0.0581083i −0.371291 0.928517i \(-0.621085\pi\)
−0.163006 + 0.986625i \(0.552119\pi\)
\(308\) −2.80583 + 2.65782i −0.159877 + 0.151443i
\(309\) 3.98371 + 4.68998i 0.226625 + 0.266804i
\(310\) 1.83861 3.46799i 0.104426 0.196968i
\(311\) 10.1967 15.0390i 0.578203 0.852785i −0.420306 0.907383i \(-0.638077\pi\)
0.998508 + 0.0545974i \(0.0173875\pi\)
\(312\) 9.18049 3.09327i 0.519743 0.175122i
\(313\) −5.64119 20.3177i −0.318859 1.14843i −0.933192 0.359379i \(-0.882989\pi\)
0.614333 0.789047i \(-0.289425\pi\)
\(314\) −3.67574 + 22.4210i −0.207434 + 1.26529i
\(315\) −1.30673 3.27965i −0.0736261 0.184787i
\(316\) −2.00554 + 2.36111i −0.112821 + 0.132823i
\(317\) −0.181796 3.35302i −0.0102107 0.188324i −0.999189 0.0402646i \(-0.987180\pi\)
0.988978 0.148060i \(-0.0473028\pi\)
\(318\) 0.429688 1.54760i 0.0240957 0.0867849i
\(319\) 9.75210 + 4.51180i 0.546013 + 0.252612i
\(320\) 6.71620 + 1.47835i 0.375447 + 0.0826422i
\(321\) −9.70946 + 2.13721i −0.541929 + 0.119288i
\(322\) 11.4975 5.31929i 0.640728 0.296432i
\(323\) 6.61633 + 40.3578i 0.368142 + 2.24557i
\(324\) 0.564829 0.339847i 0.0313794 0.0188804i
\(325\) −11.7602 + 7.07588i −0.652338 + 0.392499i
\(326\) 2.16636 + 13.2142i 0.119983 + 0.731866i
\(327\) 4.74219 2.19397i 0.262244 0.121327i
\(328\) 18.2143 4.00928i 1.00572 0.221376i
\(329\) −16.0657 3.53633i −0.885731 0.194964i
\(330\) 1.11283 + 0.514851i 0.0612593 + 0.0283416i
\(331\) −2.94133 + 10.5937i −0.161670 + 0.582282i 0.837678 + 0.546165i \(0.183913\pi\)
−0.999348 + 0.0361174i \(0.988501\pi\)
\(332\) 0.131361 + 2.42281i 0.00720938 + 0.132969i
\(333\) 5.21307 6.13730i 0.285674 0.336322i
\(334\) 1.73049 + 4.34320i 0.0946881 + 0.237649i
\(335\) 0.165673 1.01056i 0.00905170 0.0552129i
\(336\) 2.65785 + 9.57272i 0.144998 + 0.522235i
\(337\) 25.2273 8.50006i 1.37422 0.463028i 0.467212 0.884146i \(-0.345259\pi\)
0.907006 + 0.421118i \(0.138362\pi\)
\(338\) 2.01544 2.97256i 0.109626 0.161686i
\(339\) −3.36308 + 6.34344i −0.182657 + 0.344528i
\(340\) −2.69217 3.16947i −0.146004 0.171889i
\(341\) 4.08705 3.87146i 0.221326 0.209651i
\(342\) 5.95896 0.648076i 0.322224 0.0350439i
\(343\) −13.7626 20.2983i −0.743110 1.09601i
\(344\) 27.9197 + 21.2240i 1.50533 + 1.14432i
\(345\) 1.43454 + 1.35887i 0.0772331 + 0.0731591i
\(346\) −0.415173 + 7.65742i −0.0223199 + 0.411666i
\(347\) −8.50773 2.86659i −0.456719 0.153886i 0.0815329 0.996671i \(-0.474018\pi\)
−0.538252 + 0.842784i \(0.680915\pi\)
\(348\) −4.25216 + 3.23240i −0.227939 + 0.173275i
\(349\) 21.2727 + 2.31354i 1.13870 + 0.123841i 0.657982 0.753034i \(-0.271410\pi\)
0.480718 + 0.876875i \(0.340376\pi\)
\(350\) −10.4609 19.7314i −0.559161 1.05469i
\(351\) −1.16452 + 2.92273i −0.0621575 + 0.156004i
\(352\) 4.04101 + 2.43140i 0.215387 + 0.129594i
\(353\) 8.75208 0.465826 0.232913 0.972498i \(-0.425174\pi\)
0.232913 + 0.972498i \(0.425174\pi\)
\(354\) 6.79640 5.73733i 0.361225 0.304935i
\(355\) −0.348346 −0.0184883
\(356\) 3.94664 + 2.37461i 0.209171 + 0.125854i
\(357\) 12.9286 32.4482i 0.684252 1.71734i
\(358\) −4.70815 8.88052i −0.248834 0.469350i
\(359\) 1.85696 + 0.201956i 0.0980065 + 0.0106588i 0.156991 0.987600i \(-0.449821\pi\)
−0.0589844 + 0.998259i \(0.518786\pi\)
\(360\) −1.95740 + 1.48798i −0.103164 + 0.0784234i
\(361\) −7.38848 2.48947i −0.388868 0.131025i
\(362\) 0.402212 7.41836i 0.0211398 0.389900i
\(363\) −6.70924 6.35533i −0.352144 0.333568i
\(364\) 7.29954 + 5.54897i 0.382600 + 0.290845i
\(365\) 0.966689 + 1.42576i 0.0505988 + 0.0746277i
\(366\) −11.9430 + 1.29888i −0.624269 + 0.0678934i
\(367\) −8.22928 + 7.79518i −0.429565 + 0.406905i −0.871698 0.490044i \(-0.836981\pi\)
0.442133 + 0.896950i \(0.354222\pi\)
\(368\) −3.59982 4.23804i −0.187654 0.220923i
\(369\) −2.83713 + 5.35140i −0.147695 + 0.278583i
\(370\) −4.17836 + 6.16261i −0.217222 + 0.320379i
\(371\) 5.81150 1.95812i 0.301718 0.101661i
\(372\) 0.748645 + 2.69637i 0.0388154 + 0.139800i
\(373\) −2.72783 + 16.6390i −0.141242 + 0.861537i 0.817222 + 0.576323i \(0.195513\pi\)
−0.958464 + 0.285214i \(0.907935\pi\)
\(374\) 4.49028 + 11.2698i 0.232187 + 0.582745i
\(375\) 4.83986 5.69793i 0.249929 0.294240i
\(376\) 0.620265 + 11.4401i 0.0319877 + 0.589979i
\(377\) 6.82008 24.5637i 0.351252 1.26510i
\(378\) −4.64629 2.14960i −0.238979 0.110564i
\(379\) 7.93556 + 1.74675i 0.407622 + 0.0897244i 0.414048 0.910255i \(-0.364114\pi\)
−0.00642610 + 0.999979i \(0.502046\pi\)
\(380\) 2.66108 0.585749i 0.136511 0.0300483i
\(381\) 14.1892 6.56460i 0.726932 0.336315i
\(382\) 4.75816 + 29.0235i 0.243448 + 1.48497i
\(383\) 24.6615 14.8383i 1.26014 0.758204i 0.280676 0.959802i \(-0.409441\pi\)
0.979468 + 0.201599i \(0.0646137\pi\)
\(384\) 2.45035 1.47432i 0.125044 0.0752363i
\(385\) 0.757412 + 4.62001i 0.0386013 + 0.235457i
\(386\) −0.763682 + 0.353317i −0.0388704 + 0.0179833i
\(387\) −11.1234 + 2.44845i −0.565436 + 0.124462i
\(388\) 6.63058 + 1.45950i 0.336617 + 0.0740950i
\(389\) −3.20473 1.48267i −0.162486 0.0751742i 0.336960 0.941519i \(-0.390601\pi\)
−0.499447 + 0.866345i \(0.666463\pi\)
\(390\) 0.778253 2.80302i 0.0394084 0.141936i
\(391\) 1.05840 + 19.5211i 0.0535258 + 0.987226i
\(392\) −25.0112 + 29.4454i −1.26326 + 1.48722i
\(393\) −3.06458 7.69152i −0.154588 0.387986i
\(394\) −0.491576 + 2.99848i −0.0247652 + 0.151061i
\(395\) 1.00395 + 3.61591i 0.0505143 + 0.181936i
\(396\) −0.828394 + 0.279119i −0.0416284 + 0.0140262i
\(397\) −4.77515 + 7.04282i −0.239658 + 0.353469i −0.928429 0.371510i \(-0.878840\pi\)
0.688771 + 0.724979i \(0.258151\pi\)
\(398\) 0.528412 0.996690i 0.0264869 0.0499595i
\(399\) 14.8164 + 17.4432i 0.741748 + 0.873253i
\(400\) −7.11670 + 6.74129i −0.355835 + 0.337065i
\(401\) 24.9046 2.70854i 1.24368 0.135258i 0.537482 0.843275i \(-0.319376\pi\)
0.706195 + 0.708017i \(0.250410\pi\)
\(402\) −0.833356 1.22911i −0.0415640 0.0613023i
\(403\) −10.6327 8.08278i −0.529654 0.402632i
\(404\) −0.0950632 0.0900486i −0.00472957 0.00448009i
\(405\) 0.0432308 0.797345i 0.00214816 0.0396204i
\(406\) 39.3106 + 13.2453i 1.95095 + 0.657352i
\(407\) −8.50105 + 6.46233i −0.421382 + 0.320326i
\(408\) −24.1839 2.63016i −1.19728 0.130212i
\(409\) −7.67640 14.4792i −0.379574 0.715952i 0.617955 0.786214i \(-0.287961\pi\)
−0.997529 + 0.0702616i \(0.977617\pi\)
\(410\) 2.07294 5.20268i 0.102375 0.256942i
\(411\) 9.82689 + 5.91264i 0.484725 + 0.291649i
\(412\) 4.05633 0.199841
\(413\) 32.6941 + 9.18496i 1.60877 + 0.451962i
\(414\) 2.86536 0.140825
\(415\) 2.51849 + 1.51533i 0.123628 + 0.0743845i
\(416\) 4.14143 10.3942i 0.203050 0.509618i
\(417\) −8.75629 16.5161i −0.428797 0.808798i
\(418\) −7.90223 0.859419i −0.386511 0.0420356i
\(419\) −17.9264 + 13.6273i −0.875760 + 0.665735i −0.943286 0.331982i \(-0.892283\pi\)
0.0675257 + 0.997718i \(0.478490\pi\)
\(420\) −2.20537 0.743075i −0.107611 0.0362584i
\(421\) 1.51998 28.0343i 0.0740791 1.36631i −0.691225 0.722640i \(-0.742928\pi\)
0.765304 0.643669i \(-0.222589\pi\)
\(422\) 3.05748 + 2.89620i 0.148836 + 0.140985i
\(423\) −2.96209 2.25172i −0.144022 0.109483i
\(424\) −2.39684 3.53508i −0.116401 0.171679i
\(425\) 34.2623 3.72625i 1.66196 0.180749i
\(426\) −0.366729 + 0.347384i −0.0177681 + 0.0168308i
\(427\) −29.6951 34.9598i −1.43705 1.69182i
\(428\) −3.06975 + 5.79016i −0.148382 + 0.279878i
\(429\) 2.34137 3.45326i 0.113042 0.166725i
\(430\) 9.98000 3.36265i 0.481278 0.162162i
\(431\) −3.64968 13.1450i −0.175799 0.633170i −0.997956 0.0639092i \(-0.979643\pi\)
0.822157 0.569261i \(-0.192771\pi\)
\(432\) −0.363540 + 2.21750i −0.0174908 + 0.106689i
\(433\) −1.95391 4.90393i −0.0938987 0.235668i 0.874524 0.484982i \(-0.161174\pi\)
−0.968423 + 0.249314i \(0.919795\pi\)
\(434\) 14.0697 16.5641i 0.675366 0.795102i
\(435\) 0.350291 + 6.46075i 0.0167952 + 0.309769i
\(436\) 0.921456 3.31879i 0.0441298 0.158941i
\(437\) −11.6257 5.37861i −0.556132 0.257294i
\(438\) 2.43953 + 0.536980i 0.116565 + 0.0256579i
\(439\) −29.8771 + 6.57644i −1.42595 + 0.313876i −0.859888 0.510484i \(-0.829466\pi\)
−0.566066 + 0.824360i \(0.691535\pi\)
\(440\) 2.95923 1.36908i 0.141076 0.0652685i
\(441\) −2.02987 12.3816i −0.0966604 0.589602i
\(442\) 24.6617 14.8384i 1.17304 0.705793i
\(443\) −13.4066 + 8.06647i −0.636966 + 0.383250i −0.797102 0.603845i \(-0.793634\pi\)
0.160135 + 0.987095i \(0.448807\pi\)
\(444\) −0.858755 5.23817i −0.0407547 0.248593i
\(445\) 5.06379 2.34276i 0.240047 0.111058i
\(446\) −5.77579 + 1.27135i −0.273492 + 0.0602001i
\(447\) 17.3805 + 3.82573i 0.822067 + 0.180951i
\(448\) 34.5570 + 15.9878i 1.63267 + 0.755352i
\(449\) −9.31068 + 33.5340i −0.439398 + 1.58257i 0.330117 + 0.943940i \(0.392912\pi\)
−0.769515 + 0.638629i \(0.779502\pi\)
\(450\) −0.273474 5.04393i −0.0128917 0.237773i
\(451\) 5.19993 6.12183i 0.244855 0.288266i
\(452\) 1.75180 + 4.39669i 0.0823978 + 0.206803i
\(453\) 2.06488 12.5952i 0.0970167 0.591776i
\(454\) −3.96825 14.2923i −0.186239 0.670773i
\(455\) 10.5258 3.54656i 0.493458 0.166265i
\(456\) 8.94500 13.1929i 0.418888 0.617814i
\(457\) −3.79277 + 7.15393i −0.177418 + 0.334647i −0.956232 0.292608i \(-0.905477\pi\)
0.778814 + 0.627255i \(0.215822\pi\)
\(458\) −16.5281 19.4584i −0.772308 0.909231i
\(459\) 5.73562 5.43307i 0.267716 0.253594i
\(460\) 1.29490 0.140828i 0.0603748 0.00656616i
\(461\) 3.00186 + 4.42741i 0.139811 + 0.206205i 0.891148 0.453714i \(-0.149901\pi\)
−0.751337 + 0.659919i \(0.770591\pi\)
\(462\) 5.40463 + 4.10849i 0.251446 + 0.191144i
\(463\) −2.09195 1.98160i −0.0972214 0.0920930i 0.637545 0.770413i \(-0.279950\pi\)
−0.734767 + 0.678320i \(0.762708\pi\)
\(464\) 0.985752 18.1811i 0.0457624 0.844038i
\(465\) 3.21240 + 1.08238i 0.148972 + 0.0501944i
\(466\) −10.7314 + 8.15779i −0.497122 + 0.377902i
\(467\) 10.0330 + 1.09115i 0.464272 + 0.0504926i 0.337266 0.941409i \(-0.390498\pi\)
0.127006 + 0.991902i \(0.459463\pi\)
\(468\) 0.971443 + 1.83234i 0.0449049 + 0.0846997i
\(469\) 2.09866 5.26724i 0.0969071 0.243218i
\(470\) 2.94789 + 1.77369i 0.135976 + 0.0818140i
\(471\) −19.6214 −0.904107
\(472\) 0.0721257 23.6514i 0.00331986 1.08864i
\(473\) 15.1040 0.694483
\(474\) 4.66286 + 2.80555i 0.214172 + 0.128863i
\(475\) −8.35846 + 20.9782i −0.383513 + 0.962544i
\(476\) −10.7850 20.3426i −0.494329 0.932404i
\(477\) 1.37894 + 0.149969i 0.0631374 + 0.00686661i
\(478\) 11.9545 9.08756i 0.546785 0.415655i
\(479\) −37.0448 12.4818i −1.69262 0.570310i −0.702642 0.711543i \(-0.747997\pi\)
−0.989976 + 0.141234i \(0.954893\pi\)
\(480\) −0.153743 + 2.83563i −0.00701739 + 0.129428i
\(481\) 18.3928 + 17.4226i 0.838639 + 0.794401i
\(482\) 13.2955 + 10.1070i 0.605594 + 0.460360i
\(483\) 6.13964 + 9.05528i 0.279363 + 0.412030i
\(484\) −6.05613 + 0.658644i −0.275279 + 0.0299383i
\(485\) 5.97083 5.65587i 0.271121 0.256820i
\(486\) −0.749631 0.882534i −0.0340040 0.0400325i
\(487\) −8.04378 + 15.1722i −0.364498 + 0.687517i −0.996143 0.0877408i \(-0.972035\pi\)
0.631645 + 0.775258i \(0.282380\pi\)
\(488\) −17.9276 + 26.4412i −0.811545 + 1.19694i
\(489\) −10.9589 + 3.69247i −0.495576 + 0.166979i
\(490\) 3.10367 + 11.1784i 0.140209 + 0.504989i
\(491\) 5.31911 32.4451i 0.240048 1.46423i −0.541668 0.840593i \(-0.682207\pi\)
0.781716 0.623635i \(-0.214345\pi\)
\(492\) 1.47784 + 3.70910i 0.0666262 + 0.167219i
\(493\) −41.4426 + 48.7900i −1.86648 + 2.19739i
\(494\) 1.02098 + 18.8309i 0.0459360 + 0.847240i
\(495\) −0.283291 + 1.02032i −0.0127330 + 0.0458600i
\(496\) −8.65768 4.00547i −0.388741 0.179851i
\(497\) −1.88362 0.414616i −0.0844918 0.0185981i
\(498\) 4.16254 0.916244i 0.186528 0.0410579i
\(499\) −38.9781 + 18.0332i −1.74490 + 0.807277i −0.756765 + 0.653687i \(0.773221\pi\)
−0.988135 + 0.153589i \(0.950917\pi\)
\(500\) −0.797276 4.86317i −0.0356553 0.217487i
\(501\) −3.45963 + 2.08159i −0.154565 + 0.0929985i
\(502\) −7.95689 + 4.78750i −0.355133 + 0.213677i
\(503\) 3.93390 + 23.9957i 0.175404 + 1.06992i 0.916946 + 0.399010i \(0.130646\pi\)
−0.741543 + 0.670906i \(0.765905\pi\)
\(504\) −12.3553 + 5.71619i −0.550351 + 0.254619i
\(505\) −0.154910 + 0.0340982i −0.00689340 + 0.00151735i
\(506\) −3.71094 0.816840i −0.164972 0.0363130i
\(507\) 2.81489 + 1.30231i 0.125014 + 0.0578375i
\(508\) 2.75710 9.93018i 0.122327 0.440580i
\(509\) −2.07068 38.1914i −0.0917813 1.69281i −0.575674 0.817679i \(-0.695260\pi\)
0.483893 0.875127i \(-0.339222\pi\)
\(510\) −4.72909 + 5.56752i −0.209408 + 0.246534i
\(511\) 3.53020 + 8.86012i 0.156167 + 0.391949i
\(512\) 3.53167 21.5422i 0.156079 0.952041i
\(513\) 1.38487 + 4.98786i 0.0611436 + 0.220219i
\(514\) −28.0540 + 9.45248i −1.23741 + 0.416931i
\(515\) 2.75750 4.06701i 0.121510 0.179214i
\(516\) −3.51679 + 6.63338i −0.154818 + 0.292018i
\(517\) 3.19431 + 3.76063i 0.140486 + 0.165392i
\(518\) −29.9287 + 28.3499i −1.31499 + 1.24562i
\(519\) −6.58389 + 0.716041i −0.289001 + 0.0314307i
\(520\) −4.34118 6.40276i −0.190373 0.280780i
\(521\) −33.7434 25.6510i −1.47832 1.12379i −0.963903 0.266254i \(-0.914214\pi\)
−0.514420 0.857538i \(-0.671993\pi\)
\(522\) 6.81168 + 6.45237i 0.298139 + 0.282412i
\(523\) 0.484092 8.92856i 0.0211679 0.390419i −0.968682 0.248304i \(-0.920127\pi\)
0.989850 0.142115i \(-0.0453903\pi\)
\(524\) −5.17209 1.74268i −0.225944 0.0761293i
\(525\) 15.3542 11.6719i 0.670110 0.509405i
\(526\) −26.4088 2.87213i −1.15148 0.125231i
\(527\) 15.7097 + 29.6317i 0.684326 + 1.29078i
\(528\) 1.10297 2.76825i 0.0480007 0.120473i
\(529\) 14.4609 + 8.70081i 0.628733 + 0.378296i
\(530\) −1.28253 −0.0557095
\(531\) 5.83909 + 4.99050i 0.253395 + 0.216569i
\(532\) 15.0865 0.654082
\(533\) −16.3285 9.82454i −0.707267 0.425548i
\(534\) 2.99473 7.51620i 0.129595 0.325258i
\(535\) 3.71858 + 7.01399i 0.160768 + 0.303241i
\(536\) −3.92571 0.426947i −0.169565 0.0184413i
\(537\) 6.91044 5.25318i 0.298208 0.226691i
\(538\) 33.1285 + 11.1623i 1.42827 + 0.481240i
\(539\) −0.900795 + 16.6142i −0.0388000 + 0.715624i
\(540\) −0.382144 0.361986i −0.0164448 0.0155774i
\(541\) −3.00212 2.28215i −0.129071 0.0981174i 0.538647 0.842532i \(-0.318936\pi\)
−0.667718 + 0.744414i \(0.732729\pi\)
\(542\) −4.57634 6.74960i −0.196571 0.289920i
\(543\) 6.37834 0.693686i 0.273721 0.0297689i
\(544\) −20.3978 + 19.3218i −0.874549 + 0.828417i
\(545\) −2.70112 3.18000i −0.115703 0.136216i
\(546\) 7.54452 14.2305i 0.322876 0.609008i
\(547\) −13.9910 + 20.6352i −0.598214 + 0.882300i −0.999433 0.0336828i \(-0.989276\pi\)
0.401219 + 0.915982i \(0.368587\pi\)
\(548\) 7.16417 2.41389i 0.306038 0.103116i
\(549\) −2.77557 9.99669i −0.118458 0.426648i
\(550\) −1.08372 + 6.61038i −0.0462098 + 0.281868i
\(551\) −15.5253 38.9656i −0.661400 1.65999i
\(552\) 4.93278 5.80732i 0.209953 0.247176i
\(553\) 1.12489 + 20.7473i 0.0478350 + 0.882265i
\(554\) −4.91739 + 17.7109i −0.208920 + 0.752462i
\(555\) −5.83575 2.69990i −0.247714 0.114605i
\(556\) −12.0346 2.64901i −0.510379 0.112343i
\(557\) 36.6543 8.06823i 1.55309 0.341862i 0.646183 0.763183i \(-0.276364\pi\)
0.906912 + 0.421321i \(0.138433\pi\)
\(558\) 4.46132 2.06403i 0.188863 0.0873773i
\(559\) −5.79732 35.3621i −0.245200 1.49566i
\(560\) 6.79756 4.08996i 0.287250 0.172832i
\(561\) −8.97706 + 5.40132i −0.379012 + 0.228044i
\(562\) −2.00099 12.2055i −0.0844067 0.514858i
\(563\) −3.18405 + 1.47310i −0.134192 + 0.0620837i −0.485836 0.874050i \(-0.661485\pi\)
0.351644 + 0.936134i \(0.385623\pi\)
\(564\) −2.39535 + 0.527257i −0.100863 + 0.0222015i
\(565\) 5.59914 + 1.23246i 0.235558 + 0.0518502i
\(566\) 4.92908 + 2.28043i 0.207184 + 0.0958537i
\(567\) 1.18279 4.26004i 0.0496727 0.178905i
\(568\) 0.0727227 + 1.34129i 0.00305138 + 0.0562793i
\(569\) −9.96616 + 11.7331i −0.417803 + 0.491876i −0.930293 0.366817i \(-0.880447\pi\)
0.512490 + 0.858693i \(0.328723\pi\)
\(570\) −1.77162 4.44644i −0.0742052 0.186241i
\(571\) −5.59746 + 34.1430i −0.234246 + 1.42884i 0.563635 + 0.826024i \(0.309402\pi\)
−0.797881 + 0.602815i \(0.794046\pi\)
\(572\) −0.735768 2.65000i −0.0307640 0.110802i
\(573\) −24.0699 + 8.11009i −1.00553 + 0.338804i
\(574\) 17.4015 25.6652i 0.726323 1.07125i
\(575\) −5.05642 + 9.53742i −0.210867 + 0.397738i
\(576\) 5.57542 + 6.56389i 0.232309 + 0.273496i
\(577\) −7.20125 + 6.82139i −0.299792 + 0.283978i −0.822778 0.568363i \(-0.807577\pi\)
0.522986 + 0.852342i \(0.324818\pi\)
\(578\) −52.2801 + 5.68580i −2.17456 + 0.236498i
\(579\) −0.407806 0.601468i −0.0169478 0.0249962i
\(580\) 3.39541 + 2.58113i 0.140987 + 0.107175i
\(581\) 11.8147 + 11.1915i 0.490155 + 0.464300i
\(582\) 0.645670 11.9087i 0.0267639 0.493631i
\(583\) −1.74312 0.587326i −0.0721927 0.0243245i
\(584\) 5.28801 4.01984i 0.218819 0.166342i
\(585\) 2.49755 + 0.271625i 0.103261 + 0.0112303i
\(586\) 5.15572 + 9.72472i 0.212981 + 0.401724i
\(587\) 10.6872 26.8227i 0.441106 1.10709i −0.525493 0.850798i \(-0.676119\pi\)
0.966599 0.256295i \(-0.0825017\pi\)
\(588\) −7.08688 4.26403i −0.292258 0.175846i
\(589\) −21.9754 −0.905481
\(590\) −5.86624 4.00358i −0.241509 0.164825i
\(591\) −2.62408 −0.107940
\(592\) 15.5046 + 9.32880i 0.637235 + 0.383411i
\(593\) −0.0333929 + 0.0838098i −0.00137128 + 0.00344166i −0.929661 0.368417i \(-0.879900\pi\)
0.928289 + 0.371858i \(0.121279\pi\)
\(594\) 0.719263 + 1.35667i 0.0295117 + 0.0556650i
\(595\) −27.7279 3.01559i −1.13673 0.123627i
\(596\) 9.33916 7.09945i 0.382547 0.290805i
\(597\) 0.923236 + 0.311075i 0.0377856 + 0.0127314i
\(598\) −0.488059 + 9.00173i −0.0199582 + 0.368108i
\(599\) 4.53741 + 4.29806i 0.185393 + 0.175614i 0.774767 0.632246i \(-0.217867\pi\)
−0.589374 + 0.807860i \(0.700626\pi\)
\(600\) −10.6935 8.12898i −0.436560 0.331864i
\(601\) −0.938158 1.38368i −0.0382683 0.0564415i 0.808074 0.589082i \(-0.200510\pi\)
−0.846342 + 0.532640i \(0.821200\pi\)
\(602\) 57.9673 6.30433i 2.36257 0.256945i
\(603\) 0.931049 0.881937i 0.0379153 0.0359152i
\(604\) −5.44676 6.41242i −0.221625 0.260918i
\(605\) −3.45659 + 6.51982i −0.140530 + 0.265068i
\(606\) −0.129081 + 0.190380i −0.00524354 + 0.00773365i
\(607\) 0.934319 0.314809i 0.0379228 0.0127777i −0.300276 0.953852i \(-0.597079\pi\)
0.338199 + 0.941075i \(0.390182\pi\)
\(608\) −4.92507 17.7385i −0.199738 0.719392i
\(609\) −5.79570 + 35.3522i −0.234854 + 1.43254i
\(610\) 3.55069 + 8.91157i 0.143763 + 0.360819i
\(611\) 7.57847 8.92207i 0.306592 0.360948i
\(612\) −0.281945 5.20018i −0.0113970 0.210205i
\(613\) 5.47497 19.7190i 0.221132 0.796445i −0.766844 0.641834i \(-0.778174\pi\)
0.987975 0.154611i \(-0.0494123\pi\)
\(614\) 9.89628 + 4.57851i 0.399381 + 0.184774i
\(615\) 4.72350 + 1.03972i 0.190470 + 0.0419256i
\(616\) 17.6310 3.88088i 0.710373 0.156365i
\(617\) −7.96916 + 3.68693i −0.320826 + 0.148430i −0.573692 0.819071i \(-0.694489\pi\)
0.252865 + 0.967502i \(0.418627\pi\)
\(618\) −1.15276 7.03151i −0.0463707 0.282849i
\(619\) 8.28427 4.98448i 0.332973 0.200343i −0.339242 0.940699i \(-0.610171\pi\)
0.672215 + 0.740356i \(0.265343\pi\)
\(620\) 1.91469 1.15203i 0.0768957 0.0462666i
\(621\) 0.400337 + 2.44195i 0.0160650 + 0.0979920i
\(622\) −19.0950 + 8.83428i −0.765639 + 0.354222i
\(623\) 30.1700 6.64091i 1.20873 0.266063i
\(624\) −6.90448 1.51979i −0.276401 0.0608404i
\(625\) 14.3779 + 6.65195i 0.575118 + 0.266078i
\(626\) −6.53213 + 23.5266i −0.261076 + 0.940312i
\(627\) −0.371645 6.85459i −0.0148421 0.273746i
\(628\) −8.37342 + 9.85795i −0.334136 + 0.393375i
\(629\) −23.5473 59.0992i −0.938891 2.35644i
\(630\) −0.661359 + 4.03411i −0.0263492 + 0.160723i
\(631\) −2.67131 9.62119i −0.106343 0.383014i 0.891156 0.453698i \(-0.149896\pi\)
−0.997499 + 0.0706843i \(0.977482\pi\)
\(632\) 13.7133 4.62055i 0.545486 0.183796i
\(633\) −2.04105 + 3.01032i −0.0811243 + 0.119649i
\(634\) −1.82130 + 3.43534i −0.0723332 + 0.136435i
\(635\) −8.08204 9.51491i −0.320726 0.377588i
\(636\) 0.663807 0.628792i 0.0263217 0.0249332i
\(637\) 39.2435 4.26799i 1.55488 0.169104i
\(638\) −6.98244 10.2983i −0.276437 0.407714i
\(639\) −0.347289 0.264002i −0.0137386 0.0104438i
\(640\) −1.65782 1.57037i −0.0655310 0.0620742i
\(641\) −1.42450 + 26.2733i −0.0562642 + 1.03773i 0.825008 + 0.565122i \(0.191171\pi\)
−0.881272 + 0.472610i \(0.843312\pi\)
\(642\) 10.9094 + 3.67582i 0.430562 + 0.145073i
\(643\) 4.57009 3.47409i 0.180227 0.137005i −0.511171 0.859479i \(-0.670788\pi\)
0.691398 + 0.722474i \(0.256995\pi\)
\(644\) 7.16953 + 0.779733i 0.282519 + 0.0307258i
\(645\) 4.26012 + 8.03544i 0.167742 + 0.316395i
\(646\) 17.5281 43.9922i 0.689633 1.73085i
\(647\) 1.57126 + 0.945395i 0.0617726 + 0.0371673i 0.546105 0.837717i \(-0.316110\pi\)
−0.484333 + 0.874884i \(0.660938\pi\)
\(648\) −3.07917 −0.120961
\(649\) −6.13956 8.12779i −0.240999 0.319044i
\(650\) 15.8924 0.623352
\(651\) 16.0822 + 9.67632i 0.630310 + 0.379245i
\(652\) −2.82155 + 7.08157i −0.110501 + 0.277336i
\(653\) 16.4492 + 31.0265i 0.643707 + 1.21416i 0.963763 + 0.266762i \(0.0859536\pi\)
−0.320056 + 0.947399i \(0.603702\pi\)
\(654\) −6.01488 0.654157i −0.235200 0.0255796i
\(655\) −5.26326 + 4.00103i −0.205653 + 0.156333i
\(656\) −12.8981 4.34588i −0.503587 0.169678i
\(657\) −0.116790 + 2.15406i −0.00455641 + 0.0840380i
\(658\) 13.8290 + 13.0996i 0.539112 + 0.510674i
\(659\) −12.7676 9.70566i −0.497354 0.378079i 0.326214 0.945296i \(-0.394227\pi\)
−0.823568 + 0.567217i \(0.808020\pi\)
\(660\) 0.391723 + 0.577748i 0.0152478 + 0.0224888i
\(661\) 16.0604 1.74667i 0.624677 0.0679377i 0.209694 0.977767i \(-0.432753\pi\)
0.414983 + 0.909829i \(0.363788\pi\)
\(662\) 9.24254 8.75500i 0.359222 0.340273i
\(663\) 16.0914 + 18.9443i 0.624938 + 0.735734i
\(664\) 5.30892 10.0137i 0.206026 0.388606i
\(665\) 10.2558 15.1262i 0.397704 0.586569i
\(666\) −8.83616 + 2.97725i −0.342394 + 0.115366i
\(667\) −5.36416 19.3200i −0.207701 0.748072i
\(668\) −0.430586 + 2.62646i −0.0166599 + 0.101621i
\(669\) −1.89045 4.74468i −0.0730891 0.183440i
\(670\) −0.767662 + 0.903761i −0.0296574 + 0.0349153i
\(671\) 0.744852 + 13.7380i 0.0287547 + 0.530349i
\(672\) −4.20642 + 15.1501i −0.162266 + 0.584429i
\(673\) 31.4438 + 14.5475i 1.21207 + 0.560763i 0.918594 0.395203i \(-0.129326\pi\)
0.293476 + 0.955966i \(0.405188\pi\)
\(674\) −30.1045 6.62649i −1.15958 0.255243i
\(675\) 4.26038 0.937781i 0.163982 0.0360952i
\(676\) 1.85554 0.858465i 0.0713670 0.0330179i
\(677\) −5.73680 34.9929i −0.220483 1.34489i −0.832492 0.554037i \(-0.813087\pi\)
0.612009 0.790851i \(-0.290362\pi\)
\(678\) 7.12368 4.28618i 0.273583 0.164610i
\(679\) 39.0180 23.4763i 1.49737 0.900939i
\(680\) 3.14263 + 19.1692i 0.120514 + 0.735106i
\(681\) 11.6259 5.37873i 0.445507 0.206113i
\(682\) −6.36628 + 1.40132i −0.243777 + 0.0536595i
\(683\) 48.6714 + 10.7134i 1.86236 + 0.409936i 0.995990 0.0894664i \(-0.0285162\pi\)
0.866370 + 0.499403i \(0.166447\pi\)
\(684\) 3.09693 + 1.43279i 0.118414 + 0.0547842i
\(685\) 2.44997 8.82400i 0.0936086 0.337148i
\(686\) 1.53740 + 28.3556i 0.0586981 + 1.08262i
\(687\) 14.2738 16.8044i 0.544579 0.641128i
\(688\) −9.47325 23.7761i −0.361164 0.906454i
\(689\) −0.706013 + 4.30649i −0.0268970 + 0.164064i
\(690\) −0.612115 2.20464i −0.0233028 0.0839292i
\(691\) −28.1356 + 9.47999i −1.07033 + 0.360636i −0.798677 0.601760i \(-0.794466\pi\)
−0.271652 + 0.962396i \(0.587570\pi\)
\(692\) −2.44992 + 3.61337i −0.0931321 + 0.137360i
\(693\) −2.74627 + 5.18001i −0.104322 + 0.196772i
\(694\) 6.72995 + 7.92311i 0.255465 + 0.300757i
\(695\) −10.8371 + 10.2654i −0.411075 + 0.389391i
\(696\) 24.8037 2.69756i 0.940181 0.102251i
\(697\) 26.8540 + 39.6067i 1.01717 + 1.50021i
\(698\) −19.7253 14.9948i −0.746613 0.567560i
\(699\) −8.45166 8.00583i −0.319671 0.302808i
\(700\) 0.688304 12.6950i 0.0260155 0.479827i
\(701\) 25.8068 + 8.69531i 0.974708 + 0.328417i 0.761195 0.648523i \(-0.224613\pi\)
0.213513 + 0.976940i \(0.431510\pi\)
\(702\) 2.90022 2.20469i 0.109462 0.0832108i
\(703\) 41.4397 + 4.50684i 1.56293 + 0.169979i
\(704\) −5.34956 10.0903i −0.201619 0.380294i
\(705\) −1.09972 + 2.76009i −0.0414179 + 0.103951i
\(706\) −8.68368 5.22479i −0.326814 0.196638i
\(707\) −0.878231 −0.0330293
\(708\) 4.99909 0.803912i 0.187877 0.0302129i
\(709\) 26.0629 0.978812 0.489406 0.872056i \(-0.337214\pi\)
0.489406 + 0.872056i \(0.337214\pi\)
\(710\) 0.345624 + 0.207955i 0.0129710 + 0.00780441i
\(711\) −1.73950 + 4.36581i −0.0652362 + 0.163730i
\(712\) −10.0778 19.0088i −0.377683 0.712386i
\(713\) −10.4433 1.13578i −0.391106 0.0425353i
\(714\) −32.1984 + 24.4766i −1.20499 + 0.916012i
\(715\) −3.15715 1.06377i −0.118071 0.0397827i
\(716\) 0.309785 5.71365i 0.0115772 0.213529i
\(717\) 9.41492 + 8.91829i 0.351607 + 0.333060i
\(718\) −1.72188 1.30894i −0.0642600 0.0488492i
\(719\) 24.8663 + 36.6750i 0.927356 + 1.36775i 0.929924 + 0.367752i \(0.119872\pi\)
−0.00256756 + 0.999997i \(0.500817\pi\)
\(720\) 1.78382 0.194003i 0.0664792 0.00723005i
\(721\) 19.7514 18.7095i 0.735579 0.696778i
\(722\) 5.84458 + 6.88077i 0.217513 + 0.256076i
\(723\) −6.75587 + 12.7429i −0.251254 + 0.473915i
\(724\) 2.37344 3.50056i 0.0882081 0.130097i
\(725\) −33.4972 + 11.2865i −1.24405 + 0.419171i
\(726\) 2.86282 + 10.3109i 0.106249 + 0.382675i
\(727\) 2.96185 18.0665i 0.109849 0.670049i −0.873292 0.487198i \(-0.838019\pi\)
0.983141 0.182851i \(-0.0585326\pi\)
\(728\) −15.8533 39.7888i −0.587562 1.47467i
\(729\) 0.647386 0.762162i 0.0239773 0.0282282i
\(730\) −0.107987 1.99171i −0.00399679 0.0737165i
\(731\) −24.0730 + 86.7030i −0.890371 + 3.20683i
\(732\) −6.20688 2.87161i −0.229413 0.106138i
\(733\) −32.1939 7.08642i −1.18911 0.261743i −0.424012 0.905657i \(-0.639378\pi\)
−0.765098 + 0.643914i \(0.777309\pi\)
\(734\) 12.8185 2.82157i 0.473140 0.104146i
\(735\) −9.09293 + 4.20684i −0.335398 + 0.155172i
\(736\) −1.42373 8.68439i −0.0524795 0.320111i
\(737\) −1.45722 + 0.876782i −0.0536775 + 0.0322967i
\(738\) 6.00962 3.61587i 0.221217 0.133102i
\(739\) −3.02035 18.4233i −0.111106 0.677714i −0.982377 0.186912i \(-0.940152\pi\)
0.871271 0.490802i \(-0.163296\pi\)
\(740\) −3.84685 + 1.77974i −0.141413 + 0.0654246i
\(741\) −15.9056 + 3.50108i −0.584306 + 0.128615i
\(742\) −6.93503 1.52652i −0.254593 0.0560402i
\(743\) 42.5593 + 19.6900i 1.56135 + 0.722357i 0.994817 0.101683i \(-0.0324229\pi\)
0.566531 + 0.824040i \(0.308285\pi\)
\(744\) 3.49703 12.5952i 0.128207 0.461762i
\(745\) −0.769358 14.1900i −0.0281871 0.519880i
\(746\) 12.6397 14.8805i 0.462771 0.544816i
\(747\) 1.36242 + 3.41943i 0.0498485 + 0.125110i
\(748\) −1.11729 + 6.81515i −0.0408520 + 0.249186i
\(749\) 11.7592 + 42.3529i 0.429672 + 1.54754i
\(750\) −8.20357 + 2.76411i −0.299552 + 0.100931i
\(751\) 0.750798 1.10734i 0.0273970 0.0404075i −0.813744 0.581224i \(-0.802574\pi\)
0.841141 + 0.540816i \(0.181885\pi\)
\(752\) 3.91635 7.38702i 0.142815 0.269377i
\(753\) −5.19176 6.11221i −0.189198 0.222741i
\(754\) −21.4308 + 20.3003i −0.780463 + 0.739294i
\(755\) −10.1320 + 1.10192i −0.368742 + 0.0401031i
\(756\) −1.63552 2.41221i −0.0594833 0.0877313i
\(757\) 18.7522 + 14.2551i 0.681561 + 0.518109i 0.887705 0.460413i \(-0.152299\pi\)
−0.206144 + 0.978522i \(0.566092\pi\)
\(758\) −6.83077 6.47045i −0.248105 0.235017i
\(759\) 0.177658 3.27670i 0.00644856 0.118937i
\(760\) −12.0616 4.06404i −0.437521 0.147418i
\(761\) −36.4550 + 27.7124i −1.32149 + 1.00457i −0.323191 + 0.946334i \(0.604756\pi\)
−0.998303 + 0.0582398i \(0.981451\pi\)
\(762\) −17.9972 1.95731i −0.651969 0.0709059i
\(763\) −10.8208 20.4102i −0.391740 0.738900i
\(764\) −6.19722 + 15.5539i −0.224208 + 0.562719i
\(765\) −5.40554 3.25240i −0.195438 0.117591i
\(766\) −33.3269 −1.20415
\(767\) −16.6726 + 17.4938i −0.602011 + 0.631666i
\(768\) 13.9131 0.502045
\(769\) 6.84073 + 4.11593i 0.246683 + 0.148424i 0.633526 0.773721i \(-0.281607\pi\)
−0.386843 + 0.922146i \(0.626434\pi\)
\(770\) 2.00655 5.03606i 0.0723110 0.181487i
\(771\) −11.9753 22.5878i −0.431279 0.813478i
\(772\) −0.476213 0.0517913i −0.0171393 0.00186401i