Properties

Label 144.2.u.a.11.17
Level $144$
Weight $2$
Character 144.11
Analytic conductor $1.150$
Analytic rank $0$
Dimension $88$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.u (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(88\)
Relative dimension: \(22\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 11.17
Character \(\chi\) \(=\) 144.11
Dual form 144.2.u.a.131.17

$q$-expansion

\(f(q)\) \(=\) \(q+(0.772565 - 1.18454i) q^{2} +(-0.501476 - 1.65787i) q^{3} +(-0.806286 - 1.83027i) q^{4} +(3.72190 + 0.997280i) q^{5} +(-2.35124 - 0.686791i) q^{6} +(-0.481387 + 0.833787i) q^{7} +(-2.79095 - 0.458925i) q^{8} +(-2.49704 + 1.66276i) q^{9} +O(q^{10})\) \(q+(0.772565 - 1.18454i) q^{2} +(-0.501476 - 1.65787i) q^{3} +(-0.806286 - 1.83027i) q^{4} +(3.72190 + 0.997280i) q^{5} +(-2.35124 - 0.686791i) q^{6} +(-0.481387 + 0.833787i) q^{7} +(-2.79095 - 0.458925i) q^{8} +(-2.49704 + 1.66276i) q^{9} +(4.05673 - 3.63829i) q^{10} +(-3.75758 + 1.00684i) q^{11} +(-2.63002 + 2.25455i) q^{12} +(1.60802 + 0.430868i) q^{13} +(0.615754 + 1.21438i) q^{14} +(-0.213084 - 6.67053i) q^{15} +(-2.69981 + 2.95145i) q^{16} -2.58216i q^{17} +(0.0404807 + 4.24245i) q^{18} +(4.02190 + 4.02190i) q^{19} +(-1.17562 - 7.61619i) q^{20} +(1.62371 + 0.379952i) q^{21} +(-1.71033 + 5.22887i) q^{22} +(0.600513 - 0.346706i) q^{23} +(0.638755 + 4.85716i) q^{24} +(8.52786 + 4.92356i) q^{25} +(1.75268 - 1.57190i) q^{26} +(4.00884 + 3.30593i) q^{27} +(1.91419 + 0.208800i) q^{28} +(-5.75605 + 1.54233i) q^{29} +(-8.06615 - 4.90101i) q^{30} +(3.07839 - 1.77731i) q^{31} +(1.41034 + 5.47822i) q^{32} +(3.55354 + 5.72466i) q^{33} +(-3.05868 - 1.99488i) q^{34} +(-2.62320 + 2.62320i) q^{35} +(5.05664 + 3.22962i) q^{36} +(-2.11774 - 2.11774i) q^{37} +(7.87129 - 1.65693i) q^{38} +(-0.0920616 - 2.88196i) q^{39} +(-9.92995 - 4.49143i) q^{40} +(-4.97738 - 8.62108i) q^{41} +(1.70449 - 1.62982i) q^{42} +(-1.78256 - 6.65259i) q^{43} +(4.87248 + 6.06560i) q^{44} +(-10.9520 + 3.69837i) q^{45} +(0.0532467 - 0.979187i) q^{46} +(2.88971 - 5.00512i) q^{47} +(6.24700 + 2.99584i) q^{48} +(3.03653 + 5.25943i) q^{49} +(12.4205 - 6.29784i) q^{50} +(-4.28087 + 1.29489i) q^{51} +(-0.507919 - 3.29052i) q^{52} +(-6.68090 + 6.68090i) q^{53} +(7.01311 - 2.19460i) q^{54} -14.9894 q^{55} +(1.72617 - 2.10614i) q^{56} +(4.65088 - 8.68465i) q^{57} +(-2.61997 + 8.00984i) q^{58} +(-2.34478 + 8.75083i) q^{59} +(-12.0371 + 5.76836i) q^{60} +(0.570345 + 2.12855i) q^{61} +(0.272957 - 5.01957i) q^{62} +(-0.184342 - 2.88243i) q^{63} +(7.57878 + 2.56167i) q^{64} +(5.55520 + 3.20730i) q^{65} +(9.52645 + 0.213350i) q^{66} +(-1.12686 + 4.20548i) q^{67} +(-4.72606 + 2.08196i) q^{68} +(-0.875935 - 0.821706i) q^{69} +(1.08070 + 5.13388i) q^{70} -9.40024i q^{71} +(7.73220 - 3.49472i) q^{72} +3.77840i q^{73} +(-4.14465 + 0.872463i) q^{74} +(3.88610 - 16.6071i) q^{75} +(4.11837 - 10.6040i) q^{76} +(0.969360 - 3.61770i) q^{77} +(-3.48493 - 2.11745i) q^{78} +(-9.52430 - 5.49886i) q^{79} +(-12.9918 + 8.29254i) q^{80} +(3.47046 - 8.30397i) q^{81} +(-14.0574 - 0.764420i) q^{82} +(2.35550 + 8.79083i) q^{83} +(-0.613760 - 3.27819i) q^{84} +(2.57514 - 9.61053i) q^{85} +(-9.25742 - 3.02804i) q^{86} +(5.44349 + 8.76932i) q^{87} +(10.9493 - 1.08559i) q^{88} -13.0545 q^{89} +(-4.08025 + 15.8303i) q^{90} +(-1.13333 + 1.13333i) q^{91} +(-1.11875 - 0.819559i) q^{92} +(-4.49027 - 4.21228i) q^{93} +(-3.69629 - 7.28976i) q^{94} +(10.9581 + 18.9801i) q^{95} +(8.37491 - 5.08536i) q^{96} +(1.76559 - 3.05809i) q^{97} +(8.57594 + 0.466347i) q^{98} +(7.70871 - 8.76208i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} + O(q^{10}) \) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} - 8q^{10} - 6q^{11} - 16q^{12} - 2q^{13} - 6q^{14} - 2q^{16} - 10q^{18} - 8q^{19} - 48q^{20} + 2q^{21} - 2q^{22} - 12q^{23} - 16q^{27} + 8q^{28} - 6q^{29} - 34q^{30} - 6q^{32} - 8q^{33} + 2q^{34} - 26q^{36} - 8q^{37} - 6q^{38} - 32q^{39} - 2q^{40} + 48q^{42} - 2q^{43} + 6q^{45} - 40q^{46} + 42q^{48} - 24q^{49} + 72q^{50} - 12q^{51} - 2q^{52} - 38q^{54} - 16q^{55} + 36q^{56} + 16q^{58} - 42q^{59} + 70q^{60} - 2q^{61} - 44q^{64} - 12q^{65} + 104q^{66} - 2q^{67} + 96q^{68} - 10q^{69} - 16q^{70} - 10q^{72} + 78q^{74} - 56q^{75} - 14q^{76} - 6q^{77} + 12q^{78} - 8q^{81} - 36q^{82} + 54q^{83} + 158q^{84} + 8q^{85} + 54q^{86} + 48q^{87} + 22q^{88} + 64q^{90} + 20q^{91} + 108q^{92} - 34q^{93} + 6q^{94} - 58q^{96} - 4q^{97} + 46q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.772565 1.18454i 0.546286 0.837599i
\(3\) −0.501476 1.65787i −0.289527 0.957170i
\(4\) −0.806286 1.83027i −0.403143 0.915137i
\(5\) 3.72190 + 0.997280i 1.66448 + 0.445997i 0.963616 0.267292i \(-0.0861289\pi\)
0.700869 + 0.713290i \(0.252796\pi\)
\(6\) −2.35124 0.686791i −0.959889 0.280381i
\(7\) −0.481387 + 0.833787i −0.181947 + 0.315142i −0.942544 0.334083i \(-0.891573\pi\)
0.760596 + 0.649225i \(0.224907\pi\)
\(8\) −2.79095 0.458925i −0.986749 0.162255i
\(9\) −2.49704 + 1.66276i −0.832348 + 0.554253i
\(10\) 4.05673 3.63829i 1.28285 1.15053i
\(11\) −3.75758 + 1.00684i −1.13295 + 0.303574i −0.776114 0.630592i \(-0.782812\pi\)
−0.356839 + 0.934166i \(0.616145\pi\)
\(12\) −2.63002 + 2.25455i −0.759221 + 0.650833i
\(13\) 1.60802 + 0.430868i 0.445985 + 0.119501i 0.474820 0.880083i \(-0.342513\pi\)
−0.0288351 + 0.999584i \(0.509180\pi\)
\(14\) 0.615754 + 1.21438i 0.164567 + 0.324556i
\(15\) −0.213084 6.67053i −0.0550181 1.72232i
\(16\) −2.69981 + 2.95145i −0.674951 + 0.737862i
\(17\) 2.58216i 0.626265i −0.949709 0.313133i \(-0.898622\pi\)
0.949709 0.313133i \(-0.101378\pi\)
\(18\) 0.0404807 + 4.24245i 0.00954139 + 0.999954i
\(19\) 4.02190 + 4.02190i 0.922686 + 0.922686i 0.997219 0.0745325i \(-0.0237465\pi\)
−0.0745325 + 0.997219i \(0.523746\pi\)
\(20\) −1.17562 7.61619i −0.262877 1.70303i
\(21\) 1.62371 + 0.379952i 0.354323 + 0.0829123i
\(22\) −1.71033 + 5.22887i −0.364643 + 1.11480i
\(23\) 0.600513 0.346706i 0.125216 0.0722933i −0.436084 0.899906i \(-0.643635\pi\)
0.561300 + 0.827613i \(0.310302\pi\)
\(24\) 0.638755 + 4.85716i 0.130385 + 0.991463i
\(25\) 8.52786 + 4.92356i 1.70557 + 0.984712i
\(26\) 1.75268 1.57190i 0.343730 0.308275i
\(27\) 4.00884 + 3.30593i 0.771502 + 0.636227i
\(28\) 1.91419 + 0.208800i 0.361749 + 0.0394594i
\(29\) −5.75605 + 1.54233i −1.06887 + 0.286403i −0.750029 0.661405i \(-0.769961\pi\)
−0.318842 + 0.947808i \(0.603294\pi\)
\(30\) −8.06615 4.90101i −1.47267 0.894798i
\(31\) 3.07839 1.77731i 0.552894 0.319214i −0.197394 0.980324i \(-0.563248\pi\)
0.750289 + 0.661110i \(0.229915\pi\)
\(32\) 1.41034 + 5.47822i 0.249316 + 0.968422i
\(33\) 3.55354 + 5.72466i 0.618592 + 0.996536i
\(34\) −3.05868 1.99488i −0.524559 0.342120i
\(35\) −2.62320 + 2.62320i −0.443401 + 0.443401i
\(36\) 5.05664 + 3.22962i 0.842773 + 0.538269i
\(37\) −2.11774 2.11774i −0.348154 0.348154i 0.511267 0.859422i \(-0.329176\pi\)
−0.859422 + 0.511267i \(0.829176\pi\)
\(38\) 7.87129 1.65693i 1.27689 0.268790i
\(39\) −0.0920616 2.88196i −0.0147417 0.461482i
\(40\) −9.92995 4.49143i −1.57006 0.710158i
\(41\) −4.97738 8.62108i −0.777337 1.34639i −0.933472 0.358651i \(-0.883237\pi\)
0.156135 0.987736i \(-0.450096\pi\)
\(42\) 1.70449 1.62982i 0.263009 0.251487i
\(43\) −1.78256 6.65259i −0.271837 1.01451i −0.957931 0.286997i \(-0.907343\pi\)
0.686094 0.727513i \(-0.259324\pi\)
\(44\) 4.87248 + 6.06560i 0.734554 + 0.914424i
\(45\) −10.9520 + 3.69837i −1.63263 + 0.551321i
\(46\) 0.0532467 0.979187i 0.00785080 0.144373i
\(47\) 2.88971 5.00512i 0.421507 0.730072i −0.574580 0.818448i \(-0.694835\pi\)
0.996087 + 0.0883767i \(0.0281679\pi\)
\(48\) 6.24700 + 2.99584i 0.901676 + 0.432412i
\(49\) 3.03653 + 5.25943i 0.433790 + 0.751347i
\(50\) 12.4205 6.29784i 1.75652 0.890650i
\(51\) −4.28087 + 1.29489i −0.599442 + 0.181321i
\(52\) −0.507919 3.29052i −0.0704357 0.456314i
\(53\) −6.68090 + 6.68090i −0.917692 + 0.917692i −0.996861 0.0791696i \(-0.974773\pi\)
0.0791696 + 0.996861i \(0.474773\pi\)
\(54\) 7.01311 2.19460i 0.954364 0.298647i
\(55\) −14.9894 −2.02118
\(56\) 1.72617 2.10614i 0.230669 0.281444i
\(57\) 4.65088 8.68465i 0.616025 1.15031i
\(58\) −2.61997 + 8.00984i −0.344019 + 1.05174i
\(59\) −2.34478 + 8.75083i −0.305264 + 1.13926i 0.627454 + 0.778654i \(0.284097\pi\)
−0.932718 + 0.360607i \(0.882570\pi\)
\(60\) −12.0371 + 5.76836i −1.55398 + 0.744692i
\(61\) 0.570345 + 2.12855i 0.0730251 + 0.272534i 0.992778 0.119964i \(-0.0382779\pi\)
−0.919753 + 0.392497i \(0.871611\pi\)
\(62\) 0.272957 5.01957i 0.0346655 0.637486i
\(63\) −0.184342 2.88243i −0.0232249 0.363153i
\(64\) 7.57878 + 2.56167i 0.947347 + 0.320209i
\(65\) 5.55520 + 3.20730i 0.689038 + 0.397816i
\(66\) 9.52645 + 0.213350i 1.17263 + 0.0262615i
\(67\) −1.12686 + 4.20548i −0.137667 + 0.513782i 0.862305 + 0.506389i \(0.169020\pi\)
−0.999973 + 0.00739290i \(0.997647\pi\)
\(68\) −4.72606 + 2.08196i −0.573118 + 0.252474i
\(69\) −0.875935 0.821706i −0.105450 0.0989217i
\(70\) 1.08070 + 5.13388i 0.129168 + 0.613616i
\(71\) 9.40024i 1.11560i −0.829974 0.557801i \(-0.811645\pi\)
0.829974 0.557801i \(-0.188355\pi\)
\(72\) 7.73220 3.49472i 0.911249 0.411856i
\(73\) 3.77840i 0.442228i 0.975248 + 0.221114i \(0.0709693\pi\)
−0.975248 + 0.221114i \(0.929031\pi\)
\(74\) −4.14465 + 0.872463i −0.481805 + 0.101422i
\(75\) 3.88610 16.6071i 0.448728 1.91762i
\(76\) 4.11837 10.6040i 0.472410 1.21636i
\(77\) 0.969360 3.61770i 0.110469 0.412275i
\(78\) −3.48493 2.11745i −0.394590 0.239754i
\(79\) −9.52430 5.49886i −1.07157 0.618670i −0.142958 0.989729i \(-0.545661\pi\)
−0.928609 + 0.371059i \(0.878995\pi\)
\(80\) −12.9918 + 8.29254i −1.45253 + 0.927134i
\(81\) 3.47046 8.30397i 0.385607 0.922663i
\(82\) −14.0574 0.764420i −1.55238 0.0844161i
\(83\) 2.35550 + 8.79083i 0.258549 + 0.964919i 0.966081 + 0.258238i \(0.0831419\pi\)
−0.707532 + 0.706681i \(0.750191\pi\)
\(84\) −0.613760 3.27819i −0.0669667 0.357680i
\(85\) 2.57514 9.61053i 0.279313 1.04241i
\(86\) −9.25742 3.02804i −0.998253 0.326522i
\(87\) 5.44349 + 8.76932i 0.583604 + 0.940170i
\(88\) 10.9493 1.08559i 1.16720 0.115724i
\(89\) −13.0545 −1.38378 −0.691889 0.722004i \(-0.743221\pi\)
−0.691889 + 0.722004i \(0.743221\pi\)
\(90\) −4.08025 + 15.8303i −0.430096 + 1.66866i
\(91\) −1.13333 + 1.13333i −0.118806 + 0.118806i
\(92\) −1.11875 0.819559i −0.116638 0.0854449i
\(93\) −4.49027 4.21228i −0.465620 0.436793i
\(94\) −3.69629 7.28976i −0.381244 0.751882i
\(95\) 10.9581 + 18.9801i 1.12428 + 1.94731i
\(96\) 8.37491 5.08536i 0.854761 0.519022i
\(97\) 1.76559 3.05809i 0.179268 0.310502i −0.762362 0.647151i \(-0.775960\pi\)
0.941630 + 0.336649i \(0.109294\pi\)
\(98\) 8.57594 + 0.466347i 0.866301 + 0.0471082i
\(99\) 7.70871 8.76208i 0.774755 0.880622i
\(100\) 2.13557 19.5781i 0.213557 1.95781i
\(101\) −4.91426 18.3403i −0.488987 1.82492i −0.561393 0.827549i \(-0.689734\pi\)
0.0724058 0.997375i \(-0.476932\pi\)
\(102\) −1.77340 + 6.07127i −0.175593 + 0.601145i
\(103\) 1.72391 + 2.98591i 0.169862 + 0.294210i 0.938371 0.345629i \(-0.112334\pi\)
−0.768509 + 0.639839i \(0.779001\pi\)
\(104\) −4.29017 1.94049i −0.420686 0.190281i
\(105\) 5.66438 + 3.03344i 0.552787 + 0.296033i
\(106\) 2.75238 + 13.0752i 0.267335 + 1.26998i
\(107\) 6.09696 + 6.09696i 0.589415 + 0.589415i 0.937473 0.348058i \(-0.113159\pi\)
−0.348058 + 0.937473i \(0.613159\pi\)
\(108\) 2.81849 10.0028i 0.271210 0.962520i
\(109\) 3.96541 3.96541i 0.379817 0.379817i −0.491219 0.871036i \(-0.663448\pi\)
0.871036 + 0.491219i \(0.163448\pi\)
\(110\) −11.5803 + 17.7556i −1.10414 + 1.69293i
\(111\) −2.44894 + 4.57293i −0.232443 + 0.434043i
\(112\) −1.16123 3.67185i −0.109726 0.346957i
\(113\) 5.53559 3.19597i 0.520744 0.300652i −0.216495 0.976284i \(-0.569462\pi\)
0.737239 + 0.675632i \(0.236129\pi\)
\(114\) −6.69423 12.2186i −0.626972 1.14438i
\(115\) 2.58081 0.691527i 0.240662 0.0644852i
\(116\) 7.46390 + 9.29159i 0.693006 + 0.862702i
\(117\) −4.73173 + 1.59786i −0.437449 + 0.147722i
\(118\) 8.55424 + 9.53808i 0.787482 + 0.878051i
\(119\) 2.15297 + 1.24302i 0.197362 + 0.113947i
\(120\) −2.46657 + 18.7149i −0.225166 + 1.70843i
\(121\) 3.57940 2.06657i 0.325400 0.187870i
\(122\) 2.96199 + 0.968850i 0.268166 + 0.0877155i
\(123\) −11.7966 + 12.5751i −1.06366 + 1.13386i
\(124\) −5.73502 4.20127i −0.515020 0.377285i
\(125\) 13.2066 + 13.2066i 1.18123 + 1.18123i
\(126\) −3.55679 2.00851i −0.316864 0.178932i
\(127\) 3.08724i 0.273948i 0.990575 + 0.136974i \(0.0437377\pi\)
−0.990575 + 0.136974i \(0.956262\pi\)
\(128\) 8.88951 6.99833i 0.785729 0.618571i
\(129\) −10.1352 + 6.29135i −0.892354 + 0.553922i
\(130\) 8.09094 4.10253i 0.709622 0.359816i
\(131\) −5.07628 1.36018i −0.443516 0.118840i 0.0301478 0.999545i \(-0.490402\pi\)
−0.473664 + 0.880706i \(0.657069\pi\)
\(132\) 7.61253 11.1197i 0.662585 0.967843i
\(133\) −5.28949 + 1.41732i −0.458657 + 0.122897i
\(134\) 4.11101 + 4.58382i 0.355137 + 0.395982i
\(135\) 11.6236 + 16.3023i 1.00040 + 1.40308i
\(136\) −1.18502 + 7.20667i −0.101614 + 0.617966i
\(137\) −0.807507 + 1.39864i −0.0689899 + 0.119494i −0.898457 0.439062i \(-0.855311\pi\)
0.829467 + 0.558556i \(0.188644\pi\)
\(138\) −1.65006 + 0.402762i −0.140463 + 0.0342854i
\(139\) −3.80774 1.02028i −0.322968 0.0865390i 0.0936925 0.995601i \(-0.470133\pi\)
−0.416661 + 0.909062i \(0.636800\pi\)
\(140\) 6.91621 + 2.68612i 0.584527 + 0.227019i
\(141\) −9.74694 2.28080i −0.820840 0.192078i
\(142\) −11.1350 7.26230i −0.934427 0.609438i
\(143\) −6.47609 −0.541558
\(144\) 1.83399 11.8590i 0.152832 0.988252i
\(145\) −22.9616 −1.90685
\(146\) 4.47568 + 2.91906i 0.370410 + 0.241583i
\(147\) 7.19669 7.67164i 0.593573 0.632746i
\(148\) −2.16854 + 5.58355i −0.178253 + 0.458965i
\(149\) 4.31466 + 1.15611i 0.353471 + 0.0947122i 0.431185 0.902263i \(-0.358096\pi\)
−0.0777144 + 0.996976i \(0.524762\pi\)
\(150\) −16.6696 17.4333i −1.36106 1.42342i
\(151\) 9.60303 16.6329i 0.781483 1.35357i −0.149594 0.988747i \(-0.547797\pi\)
0.931078 0.364821i \(-0.118870\pi\)
\(152\) −9.37915 13.0706i −0.760749 1.06017i
\(153\) 4.29351 + 6.44776i 0.347109 + 0.521271i
\(154\) −3.53643 3.94316i −0.284974 0.317749i
\(155\) 13.2299 3.54495i 1.06265 0.284737i
\(156\) −5.20054 + 2.49218i −0.416377 + 0.199534i
\(157\) 18.2189 + 4.88175i 1.45403 + 0.389606i 0.897423 0.441170i \(-0.145436\pi\)
0.556606 + 0.830776i \(0.312103\pi\)
\(158\) −13.8718 + 7.03372i −1.10358 + 0.559573i
\(159\) 14.4263 + 7.72573i 1.14408 + 0.612690i
\(160\) −0.214167 + 21.7959i −0.0169314 + 1.72312i
\(161\) 0.667600i 0.0526142i
\(162\) −7.15525 10.5263i −0.562170 0.827022i
\(163\) 10.2654 + 10.2654i 0.804052 + 0.804052i 0.983726 0.179675i \(-0.0575045\pi\)
−0.179675 + 0.983726i \(0.557504\pi\)
\(164\) −11.7657 + 16.0610i −0.918750 + 1.25416i
\(165\) 7.51684 + 24.8505i 0.585185 + 1.93461i
\(166\) 12.2329 + 4.00130i 0.949457 + 0.310561i
\(167\) −4.99449 + 2.88357i −0.386485 + 0.223137i −0.680636 0.732622i \(-0.738296\pi\)
0.294151 + 0.955759i \(0.404963\pi\)
\(168\) −4.35733 1.80559i −0.336175 0.139304i
\(169\) −8.85824 5.11431i −0.681403 0.393408i
\(170\) −9.39464 10.4751i −0.720536 0.803405i
\(171\) −16.7303 3.35541i −1.27940 0.256594i
\(172\) −10.7388 + 8.62645i −0.818827 + 0.657761i
\(173\) 7.70414 2.06432i 0.585735 0.156947i 0.0462316 0.998931i \(-0.485279\pi\)
0.539503 + 0.841984i \(0.318612\pi\)
\(174\) 14.5931 + 0.326819i 1.10630 + 0.0247761i
\(175\) −8.21040 + 4.74028i −0.620648 + 0.358331i
\(176\) 7.17310 13.8086i 0.540693 1.04086i
\(177\) 15.6836 0.500998i 1.17885 0.0376573i
\(178\) −10.0855 + 15.4637i −0.755938 + 1.15905i
\(179\) −1.48408 + 1.48408i −0.110925 + 0.110925i −0.760391 0.649466i \(-0.774993\pi\)
0.649466 + 0.760391i \(0.274993\pi\)
\(180\) 15.5995 + 17.0632i 1.16272 + 1.27182i
\(181\) 4.93884 + 4.93884i 0.367101 + 0.367101i 0.866419 0.499318i \(-0.166416\pi\)
−0.499318 + 0.866419i \(0.666416\pi\)
\(182\) 0.466909 + 2.21806i 0.0346096 + 0.164413i
\(183\) 3.24285 2.01297i 0.239718 0.148803i
\(184\) −1.83511 + 0.692049i −0.135286 + 0.0510185i
\(185\) −5.77004 9.99400i −0.424222 0.734774i
\(186\) −8.45865 + 2.06466i −0.620219 + 0.151389i
\(187\) 2.59982 + 9.70266i 0.190118 + 0.709529i
\(188\) −11.4907 1.25340i −0.838043 0.0914134i
\(189\) −4.68625 + 1.75108i −0.340875 + 0.127373i
\(190\) 30.9486 + 1.68294i 2.24525 + 0.122093i
\(191\) 3.80239 6.58592i 0.275131 0.476541i −0.695037 0.718974i \(-0.744612\pi\)
0.970168 + 0.242433i \(0.0779455\pi\)
\(192\) 0.446341 13.8492i 0.0322119 0.999481i
\(193\) 0.964071 + 1.66982i 0.0693954 + 0.120196i 0.898635 0.438696i \(-0.144560\pi\)
−0.829240 + 0.558893i \(0.811226\pi\)
\(194\) −2.25841 4.45399i −0.162144 0.319778i
\(195\) 2.53147 10.8182i 0.181283 0.774705i
\(196\) 7.17788 9.79829i 0.512706 0.699878i
\(197\) 16.2088 16.2088i 1.15483 1.15483i 0.169254 0.985573i \(-0.445864\pi\)
0.985573 0.169254i \(-0.0541357\pi\)
\(198\) −4.42358 15.9006i −0.314370 1.13000i
\(199\) −6.55635 −0.464768 −0.232384 0.972624i \(-0.574653\pi\)
−0.232384 + 0.972624i \(0.574653\pi\)
\(200\) −21.5413 17.6550i −1.52320 1.24840i
\(201\) 7.53722 0.240770i 0.531635 0.0169826i
\(202\) −25.5214 8.34790i −1.79568 0.587356i
\(203\) 1.48491 5.54178i 0.104221 0.388956i
\(204\) 5.82161 + 6.79112i 0.407594 + 0.475473i
\(205\) −9.92769 37.0507i −0.693380 2.58773i
\(206\) 4.86877 + 0.264757i 0.339223 + 0.0184465i
\(207\) −0.923018 + 1.86425i −0.0641542 + 0.129574i
\(208\) −5.61303 + 3.58273i −0.389194 + 0.248418i
\(209\) −19.1620 11.0632i −1.32546 0.765257i
\(210\) 7.96934 4.36617i 0.549937 0.301294i
\(211\) −1.56388 + 5.83649i −0.107662 + 0.401800i −0.998634 0.0522589i \(-0.983358\pi\)
0.890971 + 0.454059i \(0.150025\pi\)
\(212\) 17.6146 + 6.84116i 1.20977 + 0.469853i
\(213\) −15.5843 + 4.71399i −1.06782 + 0.322997i
\(214\) 11.9324 2.51181i 0.815683 0.171704i
\(215\) 26.5380i 1.80988i
\(216\) −9.67129 11.0664i −0.658048 0.752976i
\(217\) 3.42229i 0.232320i
\(218\) −1.63366 7.76074i −0.110646 0.525624i
\(219\) 6.26408 1.89477i 0.423287 0.128037i
\(220\) 12.0858 + 27.4348i 0.814823 + 1.84965i
\(221\) 1.11257 4.15217i 0.0748395 0.279305i
\(222\) 3.52487 + 6.43375i 0.236574 + 0.431805i
\(223\) −4.51028 2.60401i −0.302031 0.174377i 0.341324 0.939946i \(-0.389125\pi\)
−0.643355 + 0.765568i \(0.722458\pi\)
\(224\) −5.24659 1.46122i −0.350553 0.0976319i
\(225\) −29.4811 + 1.88542i −1.96541 + 0.125695i
\(226\) 0.490833 9.02624i 0.0326498 0.600416i
\(227\) −1.68430 6.28589i −0.111791 0.417209i 0.887236 0.461316i \(-0.152623\pi\)
−0.999027 + 0.0441067i \(0.985956\pi\)
\(228\) −19.6452 1.51008i −1.30104 0.100008i
\(229\) −1.07052 + 3.99522i −0.0707418 + 0.264012i −0.992234 0.124385i \(-0.960304\pi\)
0.921492 + 0.388397i \(0.126971\pi\)
\(230\) 1.17470 3.59133i 0.0774576 0.236806i
\(231\) −6.48378 + 0.207119i −0.426601 + 0.0136274i
\(232\) 16.7726 1.66296i 1.10118 0.109179i
\(233\) 17.2178 1.12797 0.563987 0.825783i \(-0.309267\pi\)
0.563987 + 0.825783i \(0.309267\pi\)
\(234\) −1.76284 + 6.83939i −0.115241 + 0.447105i
\(235\) 15.7467 15.7467i 1.02720 1.02720i
\(236\) 17.9070 2.76409i 1.16564 0.179927i
\(237\) −4.34017 + 18.5476i −0.281924 + 1.20479i
\(238\) 3.13572 1.58997i 0.203258 0.103063i
\(239\) −4.49270 7.78159i −0.290609 0.503349i 0.683345 0.730095i \(-0.260524\pi\)
−0.973954 + 0.226747i \(0.927191\pi\)
\(240\) 20.2630 + 17.3802i 1.30797 + 1.12189i
\(241\) 0.560812 0.971356i 0.0361251 0.0625705i −0.847398 0.530959i \(-0.821832\pi\)
0.883523 + 0.468388i \(0.155165\pi\)
\(242\) 0.317381 5.83652i 0.0204020 0.375185i
\(243\) −15.5072 1.58933i −0.994789 0.101956i
\(244\) 3.43598 2.76011i 0.219966 0.176698i
\(245\) 6.05655 + 22.6034i 0.386939 + 1.44408i
\(246\) 5.78213 + 23.6886i 0.368655 + 1.51033i
\(247\) 4.73439 + 8.20020i 0.301242 + 0.521766i
\(248\) −9.40726 + 3.54762i −0.597362 + 0.225274i
\(249\) 13.3928 8.31349i 0.848735 0.526846i
\(250\) 25.8467 5.44082i 1.63469 0.344107i
\(251\) −0.699267 0.699267i −0.0441373 0.0441373i 0.684694 0.728831i \(-0.259936\pi\)
−0.728831 + 0.684694i \(0.759936\pi\)
\(252\) −5.12701 + 2.66146i −0.322971 + 0.167656i
\(253\) −1.90740 + 1.90740i −0.119917 + 0.119917i
\(254\) 3.65696 + 2.38509i 0.229458 + 0.149654i
\(255\) −17.2244 + 0.550217i −1.07863 + 0.0344559i
\(256\) −1.42210 15.9367i −0.0888812 0.996042i
\(257\) 5.79978 3.34851i 0.361781 0.208874i −0.308081 0.951360i \(-0.599687\pi\)
0.669862 + 0.742486i \(0.266353\pi\)
\(258\) −0.377724 + 16.8661i −0.0235160 + 1.05003i
\(259\) 2.78520 0.746291i 0.173064 0.0463723i
\(260\) 1.39115 12.7535i 0.0862755 0.790941i
\(261\) 11.8086 13.4222i 0.730933 0.830812i
\(262\) −5.53295 + 4.96224i −0.341827 + 0.306568i
\(263\) 12.2113 + 7.05022i 0.752984 + 0.434735i 0.826771 0.562539i \(-0.190175\pi\)
−0.0737874 + 0.997274i \(0.523509\pi\)
\(264\) −7.29056 17.6080i −0.448703 1.08370i
\(265\) −31.5284 + 18.2029i −1.93677 + 1.11820i
\(266\) −2.40761 + 7.36060i −0.147620 + 0.451308i
\(267\) 6.54653 + 21.6427i 0.400641 + 1.32451i
\(268\) 8.60576 1.32837i 0.525680 0.0811430i
\(269\) 13.2566 + 13.2566i 0.808267 + 0.808267i 0.984371 0.176105i \(-0.0563498\pi\)
−0.176105 + 0.984371i \(0.556350\pi\)
\(270\) 28.2907 1.17403i 1.72172 0.0714490i
\(271\) 10.4494i 0.634755i −0.948299 0.317377i \(-0.897198\pi\)
0.948299 0.317377i \(-0.102802\pi\)
\(272\) 7.62110 + 6.97132i 0.462097 + 0.422699i
\(273\) 2.44726 + 1.31058i 0.148115 + 0.0793197i
\(274\) 1.03290 + 2.03707i 0.0623998 + 0.123064i
\(275\) −37.0013 9.91448i −2.23126 0.597866i
\(276\) −0.797692 + 2.26573i −0.0480154 + 0.136381i
\(277\) −15.6398 + 4.19068i −0.939707 + 0.251794i −0.695989 0.718052i \(-0.745034\pi\)
−0.243718 + 0.969846i \(0.578367\pi\)
\(278\) −4.15029 + 3.72220i −0.248918 + 0.223243i
\(279\) −4.73163 + 9.55663i −0.283275 + 0.572140i
\(280\) 8.52505 6.11735i 0.509469 0.365582i
\(281\) −12.1751 + 21.0879i −0.726306 + 1.25800i 0.232129 + 0.972685i \(0.425431\pi\)
−0.958434 + 0.285313i \(0.907902\pi\)
\(282\) −10.2319 + 9.78360i −0.609298 + 0.582605i
\(283\) −8.50029 2.27765i −0.505290 0.135392i −0.00283598 0.999996i \(-0.500903\pi\)
−0.502454 + 0.864604i \(0.667569\pi\)
\(284\) −17.2050 + 7.57928i −1.02093 + 0.449748i
\(285\) 25.9712 27.6852i 1.53840 1.63993i
\(286\) −5.00320 + 7.67121i −0.295845 + 0.453608i
\(287\) 9.58419 0.565737
\(288\) −12.6307 11.3343i −0.744269 0.667880i
\(289\) 10.3325 0.607792
\(290\) −17.7393 + 27.1990i −1.04169 + 1.59718i
\(291\) −5.95531 1.39355i −0.349106 0.0816916i
\(292\) 6.91550 3.04647i 0.404699 0.178281i
\(293\) −0.808690 0.216688i −0.0472442 0.0126590i 0.235120 0.971966i \(-0.424452\pi\)
−0.282364 + 0.959307i \(0.591118\pi\)
\(294\) −3.52748 14.4516i −0.205727 0.842836i
\(295\) −17.4541 + 30.2313i −1.01621 + 1.76014i
\(296\) 4.93862 + 6.88239i 0.287051 + 0.400031i
\(297\) −18.3921 8.38605i −1.06722 0.486608i
\(298\) 4.70282 4.21773i 0.272427 0.244327i
\(299\) 1.11502 0.298769i 0.0644834 0.0172783i
\(300\) −33.5288 + 6.27745i −1.93579 + 0.362429i
\(301\) 6.40494 + 1.71620i 0.369175 + 0.0989201i
\(302\) −12.2835 24.2252i −0.706834 1.39401i
\(303\) −27.9413 + 17.3444i −1.60519 + 0.996409i
\(304\) −22.7288 + 1.01208i −1.30358 + 0.0580469i
\(305\) 8.49106i 0.486197i
\(306\) 10.9547 0.104527i 0.626237 0.00597544i
\(307\) −21.1593 21.1593i −1.20763 1.20763i −0.971794 0.235831i \(-0.924219\pi\)
−0.235831 0.971794i \(-0.575781\pi\)
\(308\) −7.40297 + 1.14271i −0.421823 + 0.0651118i
\(309\) 4.08574 4.35538i 0.232429 0.247769i
\(310\) 6.02183 18.4101i 0.342017 1.04562i
\(311\) 10.8454 6.26157i 0.614984 0.355061i −0.159929 0.987128i \(-0.551127\pi\)
0.774914 + 0.632067i \(0.217793\pi\)
\(312\) −1.06566 + 8.08564i −0.0603313 + 0.457759i
\(313\) 28.1752 + 16.2670i 1.59256 + 0.919463i 0.992867 + 0.119230i \(0.0380425\pi\)
0.599689 + 0.800233i \(0.295291\pi\)
\(314\) 19.8580 17.8097i 1.12065 1.00506i
\(315\) 2.18849 10.9120i 0.123308 0.614820i
\(316\) −2.38510 + 21.8657i −0.134173 + 1.23004i
\(317\) −13.4383 + 3.60078i −0.754770 + 0.202240i −0.615633 0.788033i \(-0.711100\pi\)
−0.139137 + 0.990273i \(0.544433\pi\)
\(318\) 20.2968 11.1200i 1.13819 0.623578i
\(319\) 20.0759 11.5908i 1.12404 0.648963i
\(320\) 25.6527 + 17.0925i 1.43403 + 0.955497i
\(321\) 7.05047 13.1654i 0.393519 0.734822i
\(322\) 0.790801 + 0.515764i 0.0440696 + 0.0287424i
\(323\) 10.3852 10.3852i 0.577846 0.577846i
\(324\) −17.9967 + 0.343474i −0.999818 + 0.0190819i
\(325\) 11.5916 + 11.5916i 0.642985 + 0.642985i
\(326\) 20.0906 4.22914i 1.11271 0.234230i
\(327\) −8.56268 4.58557i −0.473517 0.253582i
\(328\) 9.93518 + 26.3452i 0.548579 + 1.45467i
\(329\) 2.78214 + 4.81880i 0.153384 + 0.265669i
\(330\) 35.2437 + 10.2946i 1.94010 + 0.566700i
\(331\) 1.41860 + 5.29427i 0.0779731 + 0.291000i 0.993891 0.110366i \(-0.0352023\pi\)
−0.915918 + 0.401366i \(0.868536\pi\)
\(332\) 14.1904 11.3991i 0.778801 0.625609i
\(333\) 8.80938 + 1.76680i 0.482751 + 0.0968200i
\(334\) −0.442855 + 8.14393i −0.0242319 + 0.445616i
\(335\) −8.38809 + 14.5286i −0.458291 + 0.793783i
\(336\) −5.50512 + 3.76651i −0.300329 + 0.205480i
\(337\) −4.44303 7.69556i −0.242027 0.419204i 0.719264 0.694737i \(-0.244479\pi\)
−0.961292 + 0.275533i \(0.911146\pi\)
\(338\) −12.9017 + 6.54184i −0.701759 + 0.355829i
\(339\) −8.07446 7.57456i −0.438544 0.411394i
\(340\) −19.6662 + 3.03564i −1.06655 + 0.164631i
\(341\) −9.77782 + 9.77782i −0.529498 + 0.529498i
\(342\) −16.8999 + 17.2255i −0.913840 + 0.931448i
\(343\) −12.5864 −0.679602
\(344\) 1.92198 + 19.3851i 0.103626 + 1.04517i
\(345\) −2.44067 3.93186i −0.131401 0.211684i
\(346\) 3.50667 10.7207i 0.188520 0.576349i
\(347\) −3.55779 + 13.2779i −0.190992 + 0.712793i 0.802276 + 0.596954i \(0.203622\pi\)
−0.993268 + 0.115839i \(0.963044\pi\)
\(348\) 11.6612 17.0337i 0.625108 0.913100i
\(349\) 4.16907 + 15.5592i 0.223165 + 0.832863i 0.983131 + 0.182901i \(0.0585487\pi\)
−0.759966 + 0.649962i \(0.774785\pi\)
\(350\) −0.728006 + 13.3877i −0.0389136 + 0.715605i
\(351\) 5.02188 + 7.04330i 0.268048 + 0.375943i
\(352\) −10.8152 19.1649i −0.576451 1.02149i
\(353\) −7.72178 4.45817i −0.410989 0.237284i 0.280226 0.959934i \(-0.409591\pi\)
−0.691214 + 0.722650i \(0.742924\pi\)
\(354\) 11.5231 18.9649i 0.612447 1.00797i
\(355\) 9.37467 34.9868i 0.497556 1.85690i
\(356\) 10.5257 + 23.8934i 0.557860 + 1.26635i
\(357\) 0.981096 4.19268i 0.0519251 0.221900i
\(358\) 0.611409 + 2.90451i 0.0323140 + 0.153508i
\(359\) 20.3164i 1.07226i 0.844136 + 0.536129i \(0.180114\pi\)
−0.844136 + 0.536129i \(0.819886\pi\)
\(360\) 32.2637 5.29582i 1.70045 0.279114i
\(361\) 13.3513i 0.702699i
\(362\) 9.66585 2.03469i 0.508026 0.106941i
\(363\) −5.22108 4.89784i −0.274036 0.257070i
\(364\) 2.98810 + 1.16052i 0.156619 + 0.0608278i
\(365\) −3.76812 + 14.0628i −0.197233 + 0.736082i
\(366\) 0.120856 5.39645i 0.00631725 0.282077i
\(367\) 20.8621 + 12.0447i 1.08899 + 0.628729i 0.933308 0.359078i \(-0.116909\pi\)
0.155683 + 0.987807i \(0.450242\pi\)
\(368\) −0.597982 + 2.70842i −0.0311720 + 0.141186i
\(369\) 26.7635 + 13.2510i 1.39325 + 0.689821i
\(370\) −16.2961 0.886156i −0.847192 0.0460690i
\(371\) −2.35435 8.78654i −0.122232 0.456175i
\(372\) −4.08918 + 11.6147i −0.212014 + 0.602196i
\(373\) 7.05873 26.3435i 0.365487 1.36402i −0.501272 0.865290i \(-0.667134\pi\)
0.866759 0.498727i \(-0.166199\pi\)
\(374\) 13.5018 + 4.41634i 0.698159 + 0.228363i
\(375\) 15.2720 28.5175i 0.788640 1.47264i
\(376\) −10.3620 + 12.6429i −0.534379 + 0.652006i
\(377\) −9.92039 −0.510926
\(378\) −1.54620 + 6.90389i −0.0795278 + 0.355098i
\(379\) 26.4493 26.4493i 1.35861 1.35861i 0.482971 0.875636i \(-0.339558\pi\)
0.875636 0.482971i \(-0.160442\pi\)
\(380\) 25.9033 35.3598i 1.32881 1.81392i
\(381\) 5.11823 1.54817i 0.262215 0.0793153i
\(382\) −4.86372 9.59215i −0.248850 0.490777i
\(383\) −14.2366 24.6585i −0.727455 1.25999i −0.957955 0.286917i \(-0.907369\pi\)
0.230500 0.973072i \(-0.425964\pi\)
\(384\) −16.0602 11.2281i −0.819567 0.572983i
\(385\) 7.21573 12.4980i 0.367748 0.636957i
\(386\) 2.72278 + 0.148061i 0.138586 + 0.00753610i
\(387\) 15.5128 + 13.6478i 0.788559 + 0.693759i
\(388\) −7.02071 0.765816i −0.356423 0.0388784i
\(389\) 5.20211 + 19.4146i 0.263758 + 0.984357i 0.963006 + 0.269479i \(0.0868513\pi\)
−0.699249 + 0.714878i \(0.746482\pi\)
\(390\) −10.8589 11.3564i −0.549860 0.575053i
\(391\) −0.895250 1.55062i −0.0452747 0.0784182i
\(392\) −6.06112 16.0723i −0.306133 0.811775i
\(393\) 0.290624 + 9.09789i 0.0146600 + 0.458928i
\(394\) −6.67765 31.7223i −0.336415 1.59815i
\(395\) −29.9646 29.9646i −1.50768 1.50768i
\(396\) −22.2524 7.04431i −1.11823 0.353990i
\(397\) 5.95094 5.95094i 0.298669 0.298669i −0.541823 0.840492i \(-0.682266\pi\)
0.840492 + 0.541823i \(0.182266\pi\)
\(398\) −5.06521 + 7.76628i −0.253896 + 0.389289i
\(399\) 5.00227 + 8.05853i 0.250427 + 0.403431i
\(400\) −37.5552 + 11.8769i −1.87776 + 0.593844i
\(401\) −4.11912 + 2.37818i −0.205699 + 0.118761i −0.599311 0.800516i \(-0.704559\pi\)
0.393612 + 0.919277i \(0.371225\pi\)
\(402\) 5.53779 9.11418i 0.276200 0.454574i
\(403\) 5.71590 1.53157i 0.284729 0.0762929i
\(404\) −29.6054 + 23.7819i −1.47292 + 1.18320i
\(405\) 21.1981 27.4455i 1.05334 1.36378i
\(406\) −5.41728 6.04033i −0.268855 0.299776i
\(407\) 10.0898 + 5.82535i 0.500133 + 0.288752i
\(408\) 12.5419 1.64937i 0.620919 0.0816558i
\(409\) −7.24880 + 4.18510i −0.358430 + 0.206940i −0.668392 0.743809i \(-0.733017\pi\)
0.309962 + 0.950749i \(0.399684\pi\)
\(410\) −51.5579 16.8643i −2.54626 0.832867i
\(411\) 2.72371 + 0.637353i 0.134351 + 0.0314383i
\(412\) 4.07506 5.56273i 0.200764 0.274056i
\(413\) −6.16758 6.16758i −0.303487 0.303487i
\(414\) 1.49519 + 2.53361i 0.0734847 + 0.124520i
\(415\) 35.0677i 1.72141i
\(416\) −0.0925293 + 9.41678i −0.00453662 + 0.461695i
\(417\) 0.217998 + 6.82437i 0.0106754 + 0.334191i
\(418\) −27.9087 + 14.1512i −1.36506 + 0.692157i
\(419\) 30.9427 + 8.29108i 1.51165 + 0.405046i 0.916983 0.398926i \(-0.130617\pi\)
0.594668 + 0.803971i \(0.297284\pi\)
\(420\) 0.984919 12.8132i 0.0480591 0.625219i
\(421\) −28.9049 + 7.74504i −1.40874 + 0.377470i −0.881475 0.472232i \(-0.843449\pi\)
−0.527264 + 0.849702i \(0.676782\pi\)
\(422\) 5.70537 + 6.36155i 0.277733 + 0.309676i
\(423\) 1.10658 + 17.3029i 0.0538038 + 0.841295i
\(424\) 21.7121 15.5800i 1.05443 0.756632i
\(425\) 12.7134 22.0203i 0.616691 1.06814i
\(426\) −6.45599 + 22.1022i −0.312794 + 1.07085i
\(427\) −2.04932 0.549113i −0.0991735 0.0265734i
\(428\) 6.24321 16.0750i 0.301777 0.777015i
\(429\) 3.24760 + 10.7365i 0.156796 + 0.518363i
\(430\) −31.4354 20.5023i −1.51595 0.988710i
\(431\) −10.3884 −0.500389 −0.250195 0.968196i \(-0.580495\pi\)
−0.250195 + 0.968196i \(0.580495\pi\)
\(432\) −20.5804 + 2.90651i −0.990174 + 0.139839i
\(433\) −3.31869 −0.159486 −0.0797429 0.996815i \(-0.525410\pi\)
−0.0797429 + 0.996815i \(0.525410\pi\)
\(434\) 4.05385 + 2.64394i 0.194591 + 0.126913i
\(435\) 11.5147 + 38.0672i 0.552086 + 1.82518i
\(436\) −10.4550 4.06053i −0.500706 0.194464i
\(437\) 3.80962 + 1.02078i 0.182239 + 0.0488307i
\(438\) 2.59497 8.88391i 0.123992 0.424490i
\(439\) 15.8616 27.4732i 0.757035 1.31122i −0.187322 0.982299i \(-0.559981\pi\)
0.944356 0.328924i \(-0.106686\pi\)
\(440\) 41.8348 + 6.87903i 1.99439 + 0.327945i
\(441\) −16.3275 8.08401i −0.777501 0.384953i
\(442\) −4.05889 4.52571i −0.193062 0.215266i
\(443\) 12.8638 3.44686i 0.611180 0.163765i 0.0600649 0.998194i \(-0.480869\pi\)
0.551115 + 0.834429i \(0.314203\pi\)
\(444\) 10.3442 + 0.795138i 0.490916 + 0.0377356i
\(445\) −48.5877 13.0190i −2.30328 0.617161i
\(446\) −6.56905 + 3.33085i −0.311053 + 0.157720i
\(447\) −0.247021 7.73289i −0.0116837 0.365753i
\(448\) −5.78421 + 5.08593i −0.273278 + 0.240288i
\(449\) 13.0580i 0.616243i 0.951347 + 0.308121i \(0.0997003\pi\)
−0.951347 + 0.308121i \(0.900300\pi\)
\(450\) −20.5427 + 36.3783i −0.968394 + 1.71489i
\(451\) 27.3830 + 27.3830i 1.28941 + 1.28941i
\(452\) −10.3128 7.55477i −0.485072 0.355347i
\(453\) −32.3909 7.57953i −1.52186 0.356118i
\(454\) −8.74714 2.86113i −0.410524 0.134280i
\(455\) −5.34841 + 3.08790i −0.250737 + 0.144763i
\(456\) −16.9660 + 22.1040i −0.794505 + 1.03511i
\(457\) 10.0451 + 5.79955i 0.469890 + 0.271291i 0.716194 0.697901i \(-0.245883\pi\)
−0.246303 + 0.969193i \(0.579216\pi\)
\(458\) 3.90547 + 4.35465i 0.182491 + 0.203479i
\(459\) 8.53644 10.3515i 0.398447 0.483165i
\(460\) −3.34656 4.16603i −0.156034 0.194242i
\(461\) −13.3098 + 3.56634i −0.619898 + 0.166101i −0.555081 0.831796i \(-0.687313\pi\)
−0.0648164 + 0.997897i \(0.520646\pi\)
\(462\) −4.76380 + 7.84033i −0.221632 + 0.364765i
\(463\) 11.4905 6.63406i 0.534010 0.308311i −0.208638 0.977993i \(-0.566903\pi\)
0.742648 + 0.669682i \(0.233570\pi\)
\(464\) 10.9881 21.1527i 0.510110 0.981988i
\(465\) −12.5115 20.1557i −0.580208 0.934700i
\(466\) 13.3019 20.3952i 0.616197 0.944790i
\(467\) −28.1581 + 28.1581i −1.30300 + 1.30300i −0.376647 + 0.926357i \(0.622923\pi\)
−0.926357 + 0.376647i \(0.877077\pi\)
\(468\) 6.73964 + 7.37204i 0.311540 + 0.340773i
\(469\) −2.96402 2.96402i −0.136866 0.136866i
\(470\) −6.48730 30.8180i −0.299237 1.42153i
\(471\) −1.04306 32.6527i −0.0480617 1.50456i
\(472\) 10.5601 23.3470i 0.486069 1.07463i
\(473\) 13.3962 + 23.2029i 0.615958 + 1.06687i
\(474\) 18.6173 + 19.4703i 0.855122 + 0.894301i
\(475\) 14.4961 + 54.1002i 0.665127 + 2.48229i
\(476\) 0.539153 4.94275i 0.0247121 0.226551i
\(477\) 5.57377 27.7912i 0.255206 1.27247i
\(478\) −12.6885 0.689983i −0.580360 0.0315591i
\(479\) −3.40138 + 5.89137i −0.155413 + 0.269183i −0.933209 0.359333i \(-0.883004\pi\)
0.777796 + 0.628517i \(0.216338\pi\)
\(480\) 36.2421 10.5751i 1.65422 0.482683i
\(481\) −2.49291 4.31784i −0.113667 0.196877i
\(482\) −0.717349 1.41474i −0.0326743 0.0644397i
\(483\) 1.10679 0.334785i 0.0503608 0.0152332i
\(484\) −6.66841 4.88504i −0.303109 0.222047i
\(485\) 9.62112 9.62112i 0.436873 0.436873i
\(486\) −13.8630 + 17.1411i −0.628837 + 0.777537i
\(487\) −10.9714 −0.497160 −0.248580 0.968611i \(-0.579964\pi\)
−0.248580 + 0.968611i \(0.579964\pi\)
\(488\) −0.614954 6.20243i −0.0278377 0.280771i
\(489\) 11.8709 22.1666i 0.536819 1.00241i
\(490\) 31.4537 + 10.2883i 1.42093 + 0.464779i
\(491\) −1.87065 + 6.98135i −0.0844211 + 0.315064i −0.995204 0.0978219i \(-0.968812\pi\)
0.910783 + 0.412886i \(0.135479\pi\)
\(492\) 32.5273 + 11.4518i 1.46644 + 0.516288i
\(493\) 3.98253 + 14.8630i 0.179364 + 0.669397i
\(494\) 13.3711 + 0.727102i 0.601595 + 0.0327139i
\(495\) 37.4293 24.9238i 1.68232 1.12024i
\(496\) −3.06541 + 13.8841i −0.137641 + 0.623414i
\(497\) 7.83780 + 4.52515i 0.351573 + 0.202981i
\(498\) 0.499130 22.2871i 0.0223665 0.998708i
\(499\) −6.80645 + 25.4020i −0.304698 + 1.13715i 0.628506 + 0.777805i \(0.283667\pi\)
−0.933205 + 0.359346i \(0.883000\pi\)
\(500\) 13.5234 34.8199i 0.604783 1.55719i
\(501\) 7.28518 + 6.83415i 0.325478 + 0.305327i
\(502\) −1.36854 + 0.288083i −0.0610810 + 0.0128578i
\(503\) 1.37571i 0.0613400i −0.999530 0.0306700i \(-0.990236\pi\)
0.999530 0.0306700i \(-0.00976410\pi\)
\(504\) −0.808333 + 8.12932i −0.0360060 + 0.362109i
\(505\) 73.1616i 3.25565i
\(506\) 0.785806 + 3.73298i 0.0349333 + 0.165951i
\(507\) −4.03665 + 17.2505i −0.179274 + 0.766121i
\(508\) 5.65049 2.48920i 0.250700 0.110440i
\(509\) −3.94915 + 14.7384i −0.175043 + 0.653269i 0.821502 + 0.570206i \(0.193137\pi\)
−0.996544 + 0.0830623i \(0.973530\pi\)
\(510\) −12.6552 + 20.8281i −0.560381 + 0.922283i
\(511\) −3.15038 1.81887i −0.139365 0.0804622i
\(512\) −19.9763 10.6276i −0.882838 0.469677i
\(513\) 2.82701 + 29.4193i 0.124816 + 1.29889i
\(514\) 0.514260 9.45704i 0.0226830 0.417132i
\(515\) 3.43845 + 12.8325i 0.151516 + 0.565467i
\(516\) 19.6868 + 13.4776i 0.866661 + 0.593316i
\(517\) −5.81895 + 21.7166i −0.255917 + 0.955096i
\(518\) 1.26773 3.87575i 0.0557009 0.170291i
\(519\) −7.28580 11.7372i −0.319811 0.515207i
\(520\) −14.0324 11.5008i −0.615360 0.504344i
\(521\) 23.4677 1.02814 0.514070 0.857748i \(-0.328137\pi\)
0.514070 + 0.857748i \(0.328137\pi\)
\(522\) −6.77626 24.3573i −0.296589 1.06609i
\(523\) −30.0762 + 30.0762i −1.31514 + 1.31514i −0.397567 + 0.917573i \(0.630145\pi\)
−0.917573 + 0.397567i \(0.869855\pi\)
\(524\) 1.60342 + 10.3877i 0.0700458 + 0.453788i
\(525\) 11.9761 + 11.2346i 0.522678 + 0.490319i
\(526\) 17.7854 9.01811i 0.775478 0.393208i
\(527\) −4.58929 7.94888i −0.199912 0.346259i
\(528\) −26.4899 4.96738i −1.15283 0.216177i
\(529\) −11.2596 + 19.5022i −0.489547 + 0.847921i
\(530\) −2.79558 + 51.4096i −0.121432 + 2.23309i
\(531\) −8.69551 25.7500i −0.377353 1.11746i
\(532\) 6.85892 + 8.53846i 0.297372 + 0.370189i
\(533\) −4.28919 16.0075i −0.185786 0.693361i
\(534\) 30.6943 + 8.96573i 1.32827 + 0.387985i
\(535\) 16.6119 + 28.7727i 0.718195 + 1.24395i
\(536\) 5.07500 11.2201i 0.219207 0.484636i
\(537\) 3.20464 + 1.71618i 0.138290 + 0.0740585i
\(538\) 25.9445 5.46141i 1.11855 0.235458i
\(539\) −16.7054 16.7054i −0.719553 0.719553i
\(540\) 20.4658 34.4186i 0.880706 1.48114i
\(541\) −18.7809 + 18.7809i −0.807453 + 0.807453i −0.984248 0.176795i \(-0.943427\pi\)
0.176795 + 0.984248i \(0.443427\pi\)
\(542\) −12.3777 8.07283i −0.531670 0.346758i
\(543\) 5.71123 10.6646i 0.245092 0.457664i
\(544\) 14.1456 3.64173i 0.606489 0.156138i
\(545\) 18.7135 10.8042i 0.801598 0.462803i
\(546\) 3.44310 1.88637i 0.147351 0.0807293i
\(547\) −14.9578 + 4.00793i −0.639548 + 0.171366i −0.563999 0.825776i \(-0.690738\pi\)
−0.0755496 + 0.997142i \(0.524071\pi\)
\(548\) 3.21098 + 0.350252i 0.137166 + 0.0149620i
\(549\) −4.96345 4.36675i −0.211835 0.186368i
\(550\) −40.3301 + 36.1701i −1.71968 + 1.54230i
\(551\) −29.3533 16.9471i −1.25049 0.721972i
\(552\) 2.06759 + 2.69533i 0.0880024 + 0.114721i
\(553\) 9.16975 5.29416i 0.389937 0.225130i
\(554\) −7.11875 + 21.7637i −0.302447 + 0.924649i
\(555\) −13.6752 + 14.5777i −0.580479 + 0.618789i
\(556\) 1.20273 + 7.79184i 0.0510072 + 0.330448i
\(557\) −31.8166 31.8166i −1.34811 1.34811i −0.887712 0.460398i \(-0.847707\pi\)
−0.460398 0.887712i \(-0.652293\pi\)
\(558\) 7.66475 + 12.9879i 0.324475 + 0.549824i
\(559\) 11.4656i 0.484941i
\(560\) −0.660109 14.8243i −0.0278947 0.626443i
\(561\) 14.7820 9.17580i 0.624096 0.387403i
\(562\) 15.5735 + 30.7137i 0.656927 + 1.29558i
\(563\) 33.0941 + 8.86755i 1.39475 + 0.373723i 0.876457 0.481480i \(-0.159900\pi\)
0.518294 + 0.855202i \(0.326567\pi\)
\(564\) 3.68432 + 19.6785i 0.155138 + 0.828616i
\(565\) 23.7902 6.37456i 1.00086 0.268180i
\(566\) −9.26500 + 8.30934i −0.389437 + 0.349267i
\(567\) 5.25310 + 6.89105i 0.220610 + 0.289397i
\(568\) −4.31401 + 26.2356i −0.181012 + 1.10082i
\(569\) −2.54964 + 4.41610i −0.106886 + 0.185133i −0.914507 0.404569i \(-0.867421\pi\)
0.807621 + 0.589702i \(0.200755\pi\)
\(570\) −12.7299 52.1526i −0.533195 2.18443i
\(571\) −6.68977 1.79252i −0.279958 0.0750146i 0.116108 0.993237i \(-0.462958\pi\)
−0.396066 + 0.918222i \(0.629625\pi\)
\(572\) 5.22158 + 11.8530i 0.218325 + 0.495599i
\(573\) −12.8254 3.00117i −0.535788 0.125376i
\(574\) 7.40442 11.3529i 0.309054 0.473861i
\(575\) 6.82812 0.284752
\(576\) −23.1840 + 6.20507i −0.965999 + 0.258545i
\(577\) 18.2939 0.761585 0.380793 0.924660i \(-0.375651\pi\)
0.380793 + 0.924660i \(0.375651\pi\)
\(578\) 7.98250 12.2393i 0.332028 0.509086i
\(579\) 2.28488 2.43568i 0.0949564 0.101223i
\(580\) 18.5136 + 42.0260i 0.768735 + 1.74503i
\(581\) −8.46359 2.26781i −0.351129 0.0940847i
\(582\) −6.25159 + 5.97771i −0.259137 + 0.247784i
\(583\) 18.3774 31.8306i 0.761114 1.31829i
\(584\) 1.73400 10.5453i 0.0717535 0.436368i
\(585\) −19.2046 + 1.22820i −0.794011 + 0.0507798i
\(586\) −0.881442 + 0.790523i −0.0364120 + 0.0326562i
\(587\) 13.8472 3.71035i 0.571536 0.153143i 0.0385349 0.999257i \(-0.487731\pi\)
0.533001 + 0.846115i \(0.321064\pi\)
\(588\) −19.8438 6.98637i −0.818344 0.288113i
\(589\) 19.5291 + 5.23280i 0.804682 + 0.215614i
\(590\) 22.3259 + 44.0308i 0.919143 + 1.81272i
\(591\) −35.0003 18.7437i −1.43972 0.771011i
\(592\) 11.9679 0.532915i 0.491877 0.0219027i
\(593\) 16.9058i 0.694238i 0.937821 + 0.347119i \(0.112840\pi\)
−0.937821 + 0.347119i \(0.887160\pi\)
\(594\) −24.1427 + 15.3075i −0.990588 + 0.628072i
\(595\) 6.77350 + 6.77350i 0.277687 + 0.277687i
\(596\) −1.36285 8.82917i −0.0558246 0.361657i
\(597\) 3.28785 + 10.8696i 0.134563 + 0.444861i
\(598\) 0.507522 1.55161i 0.0207541 0.0634501i
\(599\) −18.4047 + 10.6260i −0.751997 + 0.434166i −0.826415 0.563062i \(-0.809623\pi\)
0.0744181 + 0.997227i \(0.476290\pi\)
\(600\) −18.4673 + 44.5661i −0.753924 + 1.81940i
\(601\) −28.1475 16.2510i −1.14816 0.662891i −0.199722 0.979853i \(-0.564004\pi\)
−0.948438 + 0.316962i \(0.897337\pi\)
\(602\) 6.98115 6.26106i 0.284530 0.255182i
\(603\) −4.17890 12.3750i −0.170178 0.503948i
\(604\) −38.1856 4.16527i −1.55375 0.169482i
\(605\) 15.3831 4.12190i 0.625413 0.167579i
\(606\) −1.04133 + 46.4974i −0.0423012 + 1.88883i
\(607\) 9.86566 5.69594i 0.400435 0.231191i −0.286237 0.958159i \(-0.592404\pi\)
0.686672 + 0.726968i \(0.259071\pi\)
\(608\) −16.3606 + 27.7051i −0.663509 + 1.12359i
\(609\) −9.93217 + 0.317275i −0.402472 + 0.0128566i
\(610\) 10.0580 + 6.55990i 0.407238 + 0.265603i
\(611\) 6.80326 6.80326i 0.275230 0.275230i
\(612\) 8.33938 13.0570i 0.337099 0.527799i
\(613\) 12.9149 + 12.9149i 0.521630 + 0.521630i 0.918063 0.396434i \(-0.129752\pi\)
−0.396434 + 0.918063i \(0.629752\pi\)
\(614\) −41.4111 + 8.71717i −1.67121 + 0.351796i
\(615\) −56.4466 + 35.0388i −2.27615 + 1.41290i
\(616\) −4.36569 + 9.65195i −0.175899 + 0.388888i
\(617\) 5.36926 + 9.29983i 0.216158 + 0.374397i 0.953630 0.300981i \(-0.0973139\pi\)
−0.737472 + 0.675378i \(0.763981\pi\)
\(618\) −2.00264 8.20455i −0.0805580 0.330035i
\(619\) −4.04330 15.0898i −0.162514 0.606510i −0.998344 0.0575222i \(-0.981680\pi\)
0.835830 0.548988i \(-0.184987\pi\)
\(620\) −17.1553 21.3561i −0.688974 0.857683i
\(621\) 3.55355 + 0.595366i 0.142599 + 0.0238912i
\(622\) 0.961645 17.6843i 0.0385585 0.709075i
\(623\) 6.28428 10.8847i 0.251774 0.436086i
\(624\) 8.75449 + 7.50901i 0.350460 + 0.300601i
\(625\) 11.3651 + 19.6849i 0.454603 + 0.787396i
\(626\) 41.0361 20.8075i 1.64013 0.831633i
\(627\) −8.73202 + 37.3160i −0.348723 + 1.49026i
\(628\) −5.75474 37.2817i −0.229639 1.48770i
\(629\) −5.46834 + 5.46834i −0.218037 + 0.218037i
\(630\) −11.2350 11.0226i −0.447611 0.439150i
\(631\) 39.5399 1.57406 0.787029 0.616916i \(-0.211618\pi\)
0.787029 + 0.616916i \(0.211618\pi\)
\(632\) 24.0582 + 19.7180i 0.956986 + 0.784338i
\(633\) 10.4604 0.334147i 0.415762 0.0132812i
\(634\) −6.11668 + 18.7001i −0.242924 + 0.742675i
\(635\) −3.07884 + 11.4904i −0.122180 + 0.455982i
\(636\) 2.50844 32.6333i 0.0994663 1.29399i
\(637\) 2.61669 + 9.76562i 0.103677 + 0.386928i
\(638\) 1.78011 32.7355i 0.0704751 1.29601i
\(639\) 15.6303 + 23.4728i 0.618326 + 0.928570i
\(640\) 40.0652 17.1818i 1.58372 0.679169i
\(641\) −18.9744 10.9549i −0.749445 0.432692i 0.0760486 0.997104i \(-0.475770\pi\)
−0.825493 + 0.564412i \(0.809103\pi\)
\(642\) −10.1481 18.5227i −0.400512 0.731034i
\(643\) 11.1343 41.5536i 0.439092 1.63871i −0.291988 0.956422i \(-0.594317\pi\)
0.731080 0.682292i \(-0.239017\pi\)
\(644\) 1.22189 0.538277i 0.0481492 0.0212111i
\(645\) −43.9964 + 13.3082i −1.73236 + 0.524008i
\(646\) −4.27846 20.3249i −0.168334 0.799672i
\(647\) 31.4508i 1.23646i 0.785998 + 0.618229i \(0.212149\pi\)
−0.785998 + 0.618229i \(0.787851\pi\)
\(648\) −13.4968 + 21.5833i −0.530204 + 0.847870i
\(649\) 35.2428i 1.38340i
\(650\) 22.6860 4.77548i 0.889817 0.187310i
\(651\) 5.67370 1.71620i 0.222370 0.0672630i
\(652\) 10.5117 27.0655i 0.411670 1.05997i
\(653\) 10.1932 38.0415i 0.398891 1.48868i −0.416160 0.909291i \(-0.636624\pi\)
0.815051 0.579389i \(-0.196709\pi\)
\(654\) −12.0470 + 6.60022i −0.471076 + 0.258089i
\(655\) −17.5369 10.1249i −0.685224 0.395614i
\(656\) 38.8826 + 8.58475i 1.51811 + 0.335178i
\(657\) −6.28257 9.43483i −0.245106 0.368088i
\(658\) 7.85746 + 0.427277i 0.306316 + 0.0166570i
\(659\) −0.390374 1.45690i −0.0152068 0.0567526i 0.957906 0.287084i \(-0.0926858\pi\)
−0.973112 + 0.230331i \(0.926019\pi\)
\(660\) 39.4225 33.7945i 1.53452 1.31545i
\(661\) 9.57641 35.7396i 0.372479 1.39011i −0.484514 0.874783i \(-0.661004\pi\)
0.856993 0.515328i \(-0.172330\pi\)
\(662\) 7.36725 + 2.40978i 0.286336 + 0.0936589i
\(663\) −7.44166 + 0.237717i −0.289010 + 0.00923218i
\(664\) −2.53973 25.6158i −0.0985608 0.994084i
\(665\) −21.1004 −0.818240
\(666\) 8.89867 9.07013i 0.344817 0.351460i
\(667\) −2.92185 + 2.92185i −0.113134 + 0.113134i
\(668\) 9.30470 + 6.81630i 0.360010 + 0.263730i
\(669\) −2.05531 + 8.78329i −0.0794628 + 0.339582i
\(670\) 10.7294 + 21.1604i 0.414513 + 0.817496i
\(671\) −4.28623 7.42397i −0.165468 0.286599i
\(672\) 0.208529 + 9.43092i 0.00804417 + 0.363806i
\(673\) 1.54334 2.67314i 0.0594912 0.103042i −0.834746 0.550635i \(-0.814386\pi\)
0.894237 + 0.447594i \(0.147719\pi\)
\(674\) −12.5483 0.682355i −0.483341 0.0262833i
\(675\) 17.9098 + 47.9303i 0.689350 + 1.84484i
\(676\) −2.21831 + 20.3366i −0.0853196 + 0.782177i
\(677\) −10.6718 39.8275i −0.410149 1.53070i −0.794358 0.607450i \(-0.792193\pi\)
0.384209 0.923246i \(-0.374474\pi\)
\(678\) −15.2104 + 3.71270i −0.584153 + 0.142585i
\(679\) 1.69986 + 2.94425i 0.0652348 + 0.112990i
\(680\) −11.5976 + 25.6407i −0.444747 + 0.983276i
\(681\) −9.57653 + 5.94456i −0.366974 + 0.227796i
\(682\) 4.02825 + 19.1362i 0.154250 + 0.732765i
\(683\) 15.0423 + 15.0423i 0.575578 + 0.575578i 0.933682 0.358104i \(-0.116577\pi\)
−0.358104 + 0.933682i \(0.616577\pi\)
\(684\) 7.34809 + 33.3264i 0.280961 + 1.27427i
\(685\) −4.40030 + 4.40030i −0.168127 + 0.168127i
\(686\) −9.72382 + 14.9092i −0.371257 + 0.569234i
\(687\) 7.16039 0.228732i 0.273186 0.00872668i
\(688\) 24.4473 + 12.6996i 0.932046 + 0.484167i
\(689\) −13.6216 + 7.86444i −0.518942 + 0.299611i
\(690\) −6.54304 0.146535i −0.249089 0.00557847i
\(691\) −42.4064 + 11.3628i −1.61321 + 0.432260i −0.948998 0.315281i \(-0.897901\pi\)
−0.664216 + 0.747540i \(0.731235\pi\)
\(692\) −9.99000 12.4363i −0.379763 0.472755i
\(693\) 3.59483 + 10.6454i 0.136556 + 0.404384i
\(694\) 12.9796 + 14.4724i 0.492698 + 0.549364i
\(695\) −13.1545 7.59476i −0.498979 0.288086i
\(696\) −11.1680 26.9729i −0.423323 1.02240i
\(697\) −22.2610 + 12.8524i −0.843195 + 0.486819i
\(698\) 21.6514 + 7.08203i 0.819517 + 0.268059i
\(699\) −8.63430 28.5448i −0.326579 1.07966i
\(700\) 15.2959 + 11.2053i 0.578132 + 0.423519i
\(701\) 7.87056 + 7.87056i 0.297267 + 0.297267i 0.839942 0.542676i \(-0.182589\pi\)
−0.542676 + 0.839942i \(0.682589\pi\)
\(702\) 12.2228 0.507230i 0.461321 0.0191442i
\(703\) 17.0347i 0.642474i
\(704\) −31.0571 1.99507i −1.17051 0.0751920i
\(705\) −34.0025 18.2094i −1.28061 0.685804i
\(706\) −11.2465 + 5.70255i −0.423267 + 0.214618i
\(707\) 17.6575 + 4.73132i 0.664080 + 0.177940i
\(708\) −13.5624 28.3013i −0.509706 1.06363i
\(709\) 27.9701 7.49458i 1.05044 0.281465i 0.308007 0.951384i \(-0.400338\pi\)
0.742434 + 0.669919i \(0.233671\pi\)
\(710\) −34.2008 38.1343i −1.28353 1.43115i
\(711\) 32.9259 2.10573i 1.23482 0.0789709i
\(712\) 36.4345 + 5.99105i 1.36544 + 0.224524i
\(713\) 1.23241 2.13459i 0.0461540 0.0799411i
\(714\) −4.20845 4.40127i −0.157497 0.164713i
\(715\) −24.1034 6.45848i −0.901414 0.241533i
\(716\) 3.91287 + 1.51968i 0.146231 + 0.0567931i
\(717\) −10.6479 + 11.3506i −0.397651 + 0.423895i
\(718\) 24.0656 + 15.6957i 0.898122 + 0.585760i
\(719\) −0.674555 −0.0251567 −0.0125783 0.999921i \(-0.504004\pi\)
−0.0125783 + 0.999921i \(0.504004\pi\)
\(720\) 18.6527 42.3091i 0.695145 1.57677i
\(721\) −3.31948 −0.123624
\(722\) 15.8152 + 10.3147i 0.588580 + 0.383875i
\(723\) −1.89161 0.442641i −0.0703498 0.0164620i
\(724\) 5.05731 13.0215i 0.187954 0.483942i
\(725\) −56.6805 15.1875i −2.10506 0.564049i
\(726\) −9.83532 + 2.40069i −0.365023 + 0.0890981i
\(727\) −1.32251 + 2.29066i −0.0490493 + 0.0849559i −0.889508 0.456920i \(-0.848952\pi\)
0.840458 + 0.541876i \(0.182286\pi\)
\(728\) 3.68319 2.64296i 0.136508 0.0979546i
\(729\) 5.14160 + 26.5059i 0.190430 + 0.981701i
\(730\) 13.7469 + 15.3280i 0.508796 + 0.567313i
\(731\) −17.1780 + 4.60284i −0.635352 + 0.170242i
\(732\) −6.29895 4.31227i −0.232816 0.159386i
\(733\) −19.9416 5.34335i −0.736562 0.197361i −0.129012 0.991643i \(-0.541181\pi\)
−0.607549 + 0.794282i \(0.707847\pi\)
\(734\) 30.3848 15.4067i 1.12152 0.568671i
\(735\) 34.4361 21.3760i 1.27020 0.788465i
\(736\) 2.74626 + 2.80077i 0.101229 + 0.103238i
\(737\) 16.9370i 0.623883i
\(738\) 36.3730 21.4653i 1.33891 0.790148i
\(739\) −27.6094 27.6094i −1.01563 1.01563i −0.999876 0.0157506i \(-0.994986\pi\)
−0.0157506 0.999876i \(-0.505014\pi\)
\(740\) −13.6395 + 18.6188i −0.501396 + 0.684440i
\(741\) 11.2207 11.9612i 0.412201 0.439405i
\(742\) −12.2269 3.99935i −0.448865 0.146821i
\(743\) 16.4755 9.51215i 0.604429 0.348967i −0.166353 0.986066i \(-0.553199\pi\)
0.770782 + 0.637099i \(0.219866\pi\)
\(744\) 10.5990 + 13.8169i 0.388578 + 0.506554i
\(745\) 14.9058 + 8.60585i 0.546105 + 0.315294i
\(746\) −25.7517 28.7135i −0.942838 1.05127i
\(747\) −20.4988 18.0345i −0.750013 0.659847i
\(748\) 15.6623 12.5815i 0.572672 0.460025i
\(749\) −8.01857 + 2.14857i −0.292992 + 0.0785070i
\(750\) −21.9816 40.1219i −0.802655 1.46504i
\(751\) −30.5334 + 17.6285i −1.11418 + 0.643273i −0.939909 0.341425i \(-0.889091\pi\)
−0.174272 + 0.984698i \(0.555757\pi\)
\(752\) 6.97071 + 22.0417i 0.254195 + 0.803777i
\(753\) −0.808626 + 1.50996i −0.0294680 + 0.0550259i
\(754\) −7.66415 + 11.7511i −0.279112 + 0.427951i
\(755\) 52.3292 52.3292i 1.90446 1.90446i
\(756\) 6.98342 + 7.16525i 0.253985 + 0.260597i
\(757\) 24.8190 + 24.8190i 0.902061 + 0.902061i 0.995614 0.0935534i \(-0.0298226\pi\)
−0.0935534 + 0.995614i \(0.529823\pi\)
\(758\) −10.8965 51.7641i −0.395779 1.88016i
\(759\) 4.11872 + 2.20570i 0.149500 + 0.0800618i
\(760\) −21.8732 58.0013i −0.793423 2.10393i
\(761\) −2.73041 4.72921i −0.0989774 0.171434i 0.812284 0.583262i \(-0.198224\pi\)
−0.911262 + 0.411828i \(0.864890\pi\)
\(762\) 2.12028 7.25883i 0.0768098 0.262959i
\(763\) 1.39741 + 5.21521i 0.0505897 + 0.188803i
\(764\) −15.1199 1.64927i −0.547017 0.0596684i
\(765\) 9.54978 + 28.2798i 0.345273 + 1.02246i
\(766\) −40.2077 2.18644i −1.45276 0.0789992i
\(767\) −7.54091 + 13.0612i −0.272286 + 0.471614i
\(768\) −25.7077 + 10.3495i −0.927648 + 0.373456i
\(769\) 14.4745 + 25.0706i 0.521964 + 0.904068i 0.999674 + 0.0255501i \(0.00813372\pi\)
−0.477710 + 0.878518i \(0.658533\pi\)
\(770\) −9.22981 18.2029i −0.332619 0.655986i
\(771\) −8.45983 7.93608i −0.304673 0.285811i
\(772\) 2.27891 3.11087i 0.0820198 0.111963i
\(773\) −11.3458 + 11.3458i −0.408079 + 0.408079i −0.881068 0.472989i