Properties

Label 144.2.u.a.11.20
Level $144$
Weight $2$
Character 144.11
Analytic conductor $1.150$
Analytic rank $0$
Dimension $88$
CM no
Inner twists $4$

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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 11.20
Character \(\chi\) \(=\) 144.11
Dual form 144.2.u.a.131.20

$q$-expansion

\(f(q)\) \(=\) \(q+(1.29365 + 0.571371i) q^{2} +(1.61259 + 0.632098i) q^{3} +(1.34707 + 1.47831i) q^{4} +(-3.81396 - 1.02195i) q^{5} +(1.72497 + 1.73910i) q^{6} +(1.46715 - 2.54117i) q^{7} +(0.897978 + 2.68210i) q^{8} +(2.20090 + 2.03863i) q^{9} +O(q^{10})\) \(q+(1.29365 + 0.571371i) q^{2} +(1.61259 + 0.632098i) q^{3} +(1.34707 + 1.47831i) q^{4} +(-3.81396 - 1.02195i) q^{5} +(1.72497 + 1.73910i) q^{6} +(1.46715 - 2.54117i) q^{7} +(0.897978 + 2.68210i) q^{8} +(2.20090 + 2.03863i) q^{9} +(-4.35003 - 3.50123i) q^{10} +(-2.65006 + 0.710081i) q^{11} +(1.23784 + 3.23539i) q^{12} +(-2.34729 - 0.628955i) q^{13} +(3.34993 - 2.44911i) q^{14} +(-5.50439 - 4.05878i) q^{15} +(-0.370800 + 3.98278i) q^{16} -2.89808i q^{17} +(1.68239 + 3.89481i) q^{18} +(-1.99906 - 1.99906i) q^{19} +(-3.62692 - 7.01485i) q^{20} +(3.97218 - 3.17049i) q^{21} +(-3.83397 - 0.595568i) q^{22} +(-2.07141 + 1.19593i) q^{23} +(-0.247276 + 4.89273i) q^{24} +(9.17180 + 5.29534i) q^{25} +(-2.67721 - 2.15482i) q^{26} +(2.26054 + 4.67867i) q^{27} +(5.73299 - 1.25424i) q^{28} +(8.46218 - 2.26743i) q^{29} +(-4.80170 - 8.39570i) q^{30} +(-0.439075 + 0.253500i) q^{31} +(-2.75533 + 4.94046i) q^{32} +(-4.72230 - 0.530027i) q^{33} +(1.65588 - 3.74911i) q^{34} +(-8.19258 + 8.19258i) q^{35} +(-0.0489584 + 5.99980i) q^{36} +(1.36407 + 1.36407i) q^{37} +(-1.44388 - 3.72828i) q^{38} +(-3.38766 - 2.49797i) q^{39} +(-0.683892 - 11.1471i) q^{40} +(0.745739 + 1.29166i) q^{41} +(6.95014 - 1.83193i) q^{42} +(-1.27136 - 4.74478i) q^{43} +(-4.61954 - 2.96108i) q^{44} +(-6.31078 - 10.0245i) q^{45} +(-3.36300 + 0.363572i) q^{46} +(-3.25802 + 5.64306i) q^{47} +(-3.11546 + 6.18821i) q^{48} +(-0.805035 - 1.39436i) q^{49} +(8.83951 + 12.0908i) q^{50} +(1.83187 - 4.67343i) q^{51} +(-2.23218 - 4.31727i) q^{52} +(-5.17979 + 5.17979i) q^{53} +(0.251099 + 7.34418i) q^{54} +10.8329 q^{55} +(8.13313 + 1.65311i) q^{56} +(-1.96006 - 4.48726i) q^{57} +(12.2427 + 1.90177i) q^{58} +(0.664781 - 2.48100i) q^{59} +(-1.41467 - 13.6047i) q^{60} +(2.99657 + 11.1833i) q^{61} +(-0.712853 + 0.0770663i) q^{62} +(8.40956 - 2.60190i) q^{63} +(-6.38727 + 4.81693i) q^{64} +(8.30972 + 4.79762i) q^{65} +(-5.80617 - 3.38386i) q^{66} +(-2.53505 + 9.46095i) q^{67} +(4.28427 - 3.90393i) q^{68} +(-4.09628 + 0.619209i) q^{69} +(-15.2794 + 5.91735i) q^{70} -4.65399i q^{71} +(-3.49145 + 7.73368i) q^{72} -4.91897i q^{73} +(0.985240 + 2.54402i) q^{74} +(11.4432 + 14.3367i) q^{75} +(0.262354 - 5.64809i) q^{76} +(-2.08358 + 7.77604i) q^{77} +(-2.95519 - 5.16711i) q^{78} +(-3.61263 - 2.08575i) q^{79} +(5.48441 - 14.8112i) q^{80} +(0.687950 + 8.97367i) q^{81} +(0.226711 + 2.09705i) q^{82} +(-3.37411 - 12.5924i) q^{83} +(10.0378 + 1.60123i) q^{84} +(-2.96169 + 11.0532i) q^{85} +(1.06633 - 6.86451i) q^{86} +(15.0793 + 1.69249i) q^{87} +(-4.28420 - 6.47007i) q^{88} +7.33327 q^{89} +(-2.43627 - 16.5740i) q^{90} +(-5.04210 + 5.04210i) q^{91} +(-4.55828 - 1.45118i) q^{92} +(-0.868286 + 0.131254i) q^{93} +(-7.43902 + 5.43861i) q^{94} +(5.58139 + 9.66725i) q^{95} +(-7.56608 + 6.22531i) q^{96} +(2.50134 - 4.33245i) q^{97} +(-0.244738 - 2.26379i) q^{98} +(-7.28011 - 3.83968i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.29365 + 0.571371i 0.914750 + 0.404020i
\(3\) 1.61259 + 0.632098i 0.931030 + 0.364942i
\(4\) 1.34707 + 1.47831i 0.673535 + 0.739155i
\(5\) −3.81396 1.02195i −1.70566 0.457029i −0.731302 0.682053i \(-0.761087\pi\)
−0.974353 + 0.225024i \(0.927754\pi\)
\(6\) 1.72497 + 1.73910i 0.704216 + 0.709986i
\(7\) 1.46715 2.54117i 0.554529 0.960473i −0.443411 0.896318i \(-0.646232\pi\)
0.997940 0.0641541i \(-0.0204349\pi\)
\(8\) 0.897978 + 2.68210i 0.317483 + 0.948264i
\(9\) 2.20090 + 2.03863i 0.733634 + 0.679544i
\(10\) −4.35003 3.50123i −1.37560 1.10719i
\(11\) −2.65006 + 0.710081i −0.799022 + 0.214097i −0.635155 0.772385i \(-0.719064\pi\)
−0.163868 + 0.986482i \(0.552397\pi\)
\(12\) 1.23784 + 3.23539i 0.357333 + 0.933977i
\(13\) −2.34729 0.628955i −0.651021 0.174441i −0.0818307 0.996646i \(-0.526077\pi\)
−0.569191 + 0.822206i \(0.692743\pi\)
\(14\) 3.34993 2.44911i 0.895306 0.654551i
\(15\) −5.50439 4.05878i −1.42123 1.04797i
\(16\) −0.370800 + 3.98278i −0.0926999 + 0.995694i
\(17\) 2.89808i 0.702889i −0.936209 0.351444i \(-0.885691\pi\)
0.936209 0.351444i \(-0.114309\pi\)
\(18\) 1.68239 + 3.89481i 0.396543 + 0.918016i
\(19\) −1.99906 1.99906i −0.458615 0.458615i 0.439586 0.898201i \(-0.355125\pi\)
−0.898201 + 0.439586i \(0.855125\pi\)
\(20\) −3.62692 7.01485i −0.811004 1.56857i
\(21\) 3.97218 3.17049i 0.866800 0.691858i
\(22\) −3.83397 0.595568i −0.817406 0.126976i
\(23\) −2.07141 + 1.19593i −0.431918 + 0.249368i −0.700163 0.713983i \(-0.746890\pi\)
0.268245 + 0.963351i \(0.413556\pi\)
\(24\) −0.247276 + 4.89273i −0.0504751 + 0.998725i
\(25\) 9.17180 + 5.29534i 1.83436 + 1.05907i
\(26\) −2.67721 2.15482i −0.525044 0.422595i
\(27\) 2.26054 + 4.67867i 0.435041 + 0.900410i
\(28\) 5.73299 1.25424i 1.08343 0.237029i
\(29\) 8.46218 2.26743i 1.57139 0.421052i 0.635141 0.772396i \(-0.280942\pi\)
0.936246 + 0.351344i \(0.114275\pi\)
\(30\) −4.80170 8.39570i −0.876666 1.53284i
\(31\) −0.439075 + 0.253500i −0.0788602 + 0.0455300i −0.538912 0.842362i \(-0.681164\pi\)
0.460051 + 0.887892i \(0.347831\pi\)
\(32\) −2.75533 + 4.94046i −0.487078 + 0.873359i
\(33\) −4.72230 0.530027i −0.822047 0.0922658i
\(34\) 1.65588 3.74911i 0.283981 0.642968i
\(35\) −8.19258 + 8.19258i −1.38480 + 1.38480i
\(36\) −0.0489584 + 5.99980i −0.00815973 + 0.999967i
\(37\) 1.36407 + 1.36407i 0.224251 + 0.224251i 0.810286 0.586035i \(-0.199312\pi\)
−0.586035 + 0.810286i \(0.699312\pi\)
\(38\) −1.44388 3.72828i −0.234228 0.604808i
\(39\) −3.38766 2.49797i −0.542460 0.399995i
\(40\) −0.683892 11.1471i −0.108133 1.76251i
\(41\) 0.745739 + 1.29166i 0.116465 + 0.201723i 0.918364 0.395736i \(-0.129510\pi\)
−0.801899 + 0.597459i \(0.796177\pi\)
\(42\) 6.95014 1.83193i 1.07243 0.282672i
\(43\) −1.27136 4.74478i −0.193881 0.723572i −0.992554 0.121807i \(-0.961131\pi\)
0.798673 0.601765i \(-0.205536\pi\)
\(44\) −4.61954 2.96108i −0.696421 0.446399i
\(45\) −6.31078 10.0245i −0.940756 1.49436i
\(46\) −3.36300 + 0.363572i −0.495847 + 0.0536058i
\(47\) −3.25802 + 5.64306i −0.475231 + 0.823124i −0.999598 0.0283684i \(-0.990969\pi\)
0.524367 + 0.851493i \(0.324302\pi\)
\(48\) −3.11546 + 6.18821i −0.449677 + 0.893191i
\(49\) −0.805035 1.39436i −0.115005 0.199195i
\(50\) 8.83951 + 12.0908i 1.25010 + 1.70990i
\(51\) 1.83187 4.67343i 0.256514 0.654411i
\(52\) −2.23218 4.31727i −0.309547 0.598698i
\(53\) −5.17979 + 5.17979i −0.711499 + 0.711499i −0.966849 0.255349i \(-0.917809\pi\)
0.255349 + 0.966849i \(0.417809\pi\)
\(54\) 0.251099 + 7.34418i 0.0341702 + 0.999416i
\(55\) 10.8329 1.46071
\(56\) 8.13313 + 1.65311i 1.08684 + 0.220906i
\(57\) −1.96006 4.48726i −0.259616 0.594352i
\(58\) 12.2427 + 1.90177i 1.60754 + 0.249715i
\(59\) 0.664781 2.48100i 0.0865472 0.322998i −0.909056 0.416675i \(-0.863195\pi\)
0.995603 + 0.0936766i \(0.0298620\pi\)
\(60\) −1.41467 13.6047i −0.182633 1.75635i
\(61\) 2.99657 + 11.1833i 0.383671 + 1.43188i 0.840251 + 0.542198i \(0.182408\pi\)
−0.456580 + 0.889682i \(0.650926\pi\)
\(62\) −0.712853 + 0.0770663i −0.0905324 + 0.00978743i
\(63\) 8.40956 2.60190i 1.05951 0.327809i
\(64\) −6.38727 + 4.81693i −0.798409 + 0.602116i
\(65\) 8.30972 + 4.79762i 1.03069 + 0.595071i
\(66\) −5.80617 3.38386i −0.714691 0.416524i
\(67\) −2.53505 + 9.46095i −0.309706 + 1.15584i 0.619112 + 0.785303i \(0.287493\pi\)
−0.928818 + 0.370536i \(0.879174\pi\)
\(68\) 4.28427 3.90393i 0.519544 0.473421i
\(69\) −4.09628 + 0.619209i −0.493134 + 0.0745440i
\(70\) −15.2794 + 5.91735i −1.82623 + 0.707259i
\(71\) 4.65399i 0.552327i −0.961111 0.276164i \(-0.910937\pi\)
0.961111 0.276164i \(-0.0890632\pi\)
\(72\) −3.49145 + 7.73368i −0.411471 + 0.911423i
\(73\) 4.91897i 0.575722i −0.957672 0.287861i \(-0.907056\pi\)
0.957672 0.287861i \(-0.0929441\pi\)
\(74\) 0.985240 + 2.54402i 0.114532 + 0.295736i
\(75\) 11.4432 + 14.3367i 1.32135 + 1.65546i
\(76\) 0.262354 5.64809i 0.0300940 0.647881i
\(77\) −2.08358 + 7.77604i −0.237446 + 0.886162i
\(78\) −2.95519 5.16711i −0.334609 0.585060i
\(79\) −3.61263 2.08575i −0.406453 0.234666i 0.282812 0.959175i \(-0.408733\pi\)
−0.689264 + 0.724510i \(0.742066\pi\)
\(80\) 5.48441 14.8112i 0.613175 1.65594i
\(81\) 0.687950 + 8.97367i 0.0764389 + 0.997074i
\(82\) 0.226711 + 2.09705i 0.0250361 + 0.231580i
\(83\) −3.37411 12.5924i −0.370357 1.38219i −0.860011 0.510275i \(-0.829544\pi\)
0.489654 0.871917i \(-0.337123\pi\)
\(84\) 10.0378 + 1.60123i 1.09521 + 0.174709i
\(85\) −2.96169 + 11.0532i −0.321241 + 1.19889i
\(86\) 1.06633 6.86451i 0.114985 0.740220i
\(87\) 15.0793 + 1.69249i 1.61667 + 0.181453i
\(88\) −4.28420 6.47007i −0.456697 0.689712i
\(89\) 7.33327 0.777325 0.388662 0.921380i \(-0.372937\pi\)
0.388662 + 0.921380i \(0.372937\pi\)
\(90\) −2.43627 16.5740i −0.256805 1.74705i
\(91\) −5.04210 + 5.04210i −0.528556 + 0.528556i
\(92\) −4.55828 1.45118i −0.475234 0.151296i
\(93\) −0.868286 + 0.131254i −0.0900371 + 0.0136104i
\(94\) −7.43902 + 5.43861i −0.767276 + 0.560950i
\(95\) 5.58139 + 9.66725i 0.572639 + 0.991839i
\(96\) −7.56608 + 6.22531i −0.772209 + 0.635368i
\(97\) 2.50134 4.33245i 0.253973 0.439893i −0.710643 0.703552i \(-0.751596\pi\)
0.964616 + 0.263659i \(0.0849294\pi\)
\(98\) −0.244738 2.26379i −0.0247222 0.228678i
\(99\) −7.28011 3.83968i −0.731679 0.385902i
\(100\) 4.52691 + 20.6920i 0.452691 + 2.06920i
\(101\) −2.82933 10.5592i −0.281529 1.05068i −0.951339 0.308147i \(-0.900291\pi\)
0.669810 0.742533i \(-0.266376\pi\)
\(102\) 5.04007 4.99911i 0.499041 0.494986i
\(103\) −0.321949 0.557632i −0.0317226 0.0549451i 0.849728 0.527221i \(-0.176766\pi\)
−0.881451 + 0.472276i \(0.843433\pi\)
\(104\) −0.420899 6.86044i −0.0412726 0.672722i
\(105\) −18.3898 + 8.03277i −1.79466 + 0.783918i
\(106\) −9.66043 + 3.74127i −0.938304 + 0.363384i
\(107\) 3.74155 + 3.74155i 0.361709 + 0.361709i 0.864442 0.502733i \(-0.167672\pi\)
−0.502733 + 0.864442i \(0.667672\pi\)
\(108\) −3.87141 + 9.64428i −0.372527 + 0.928021i
\(109\) 6.00859 6.00859i 0.575518 0.575518i −0.358147 0.933665i \(-0.616591\pi\)
0.933665 + 0.358147i \(0.116591\pi\)
\(110\) 14.0140 + 6.18959i 1.33618 + 0.590155i
\(111\) 1.33746 + 3.06191i 0.126946 + 0.290623i
\(112\) 9.57690 + 6.78558i 0.904932 + 0.641177i
\(113\) 14.4387 8.33620i 1.35828 0.784204i 0.368889 0.929474i \(-0.379738\pi\)
0.989392 + 0.145270i \(0.0464051\pi\)
\(114\) 0.0282530 6.92487i 0.00264614 0.648574i
\(115\) 9.12244 2.44435i 0.850672 0.227937i
\(116\) 14.7511 + 9.45533i 1.36961 + 0.877905i
\(117\) −3.88395 6.16953i −0.359071 0.570374i
\(118\) 2.27757 2.82971i 0.209667 0.260496i
\(119\) −7.36453 4.25191i −0.675105 0.389772i
\(120\) 5.94322 18.4080i 0.542539 1.68041i
\(121\) −3.00769 + 1.73649i −0.273426 + 0.157863i
\(122\) −2.51332 + 16.1795i −0.227545 + 1.46482i
\(123\) 0.386118 + 2.55430i 0.0348151 + 0.230313i
\(124\) −0.966217 0.307606i −0.0867689 0.0276239i
\(125\) −15.6093 15.6093i −1.39613 1.39613i
\(126\) 12.3657 + 1.43902i 1.10162 + 0.128199i
\(127\) 17.9975i 1.59702i −0.601983 0.798509i \(-0.705623\pi\)
0.601983 0.798509i \(-0.294377\pi\)
\(128\) −11.0152 + 2.58193i −0.973611 + 0.228212i
\(129\) 0.948984 8.45502i 0.0835533 0.744423i
\(130\) 8.00866 + 10.9544i 0.702406 + 0.960762i
\(131\) 17.4121 + 4.66555i 1.52130 + 0.407631i 0.920170 0.391520i \(-0.128051\pi\)
0.601131 + 0.799151i \(0.294717\pi\)
\(132\) −5.57773 7.69501i −0.485479 0.669765i
\(133\) −8.01285 + 2.14704i −0.694802 + 0.186172i
\(134\) −8.68519 + 10.7907i −0.750286 + 0.932176i
\(135\) −3.84026 20.1544i −0.330517 1.73462i
\(136\) 7.77294 2.60242i 0.666524 0.223155i
\(137\) −0.396155 + 0.686161i −0.0338458 + 0.0586227i −0.882452 0.470402i \(-0.844109\pi\)
0.848606 + 0.529025i \(0.177442\pi\)
\(138\) −5.65295 1.53945i −0.481211 0.131047i
\(139\) −20.5134 5.49654i −1.73992 0.466211i −0.757492 0.652844i \(-0.773576\pi\)
−0.982430 + 0.186633i \(0.940242\pi\)
\(140\) −23.1472 1.07519i −1.95629 0.0908697i
\(141\) −8.82082 + 7.04056i −0.742847 + 0.592922i
\(142\) 2.65916 6.02065i 0.223151 0.505242i
\(143\) 6.66706 0.557528
\(144\) −8.93551 + 8.00978i −0.744626 + 0.667482i
\(145\) −34.5916 −2.87268
\(146\) 2.81055 6.36343i 0.232603 0.526641i
\(147\) −0.416819 2.75740i −0.0343787 0.227426i
\(148\) −0.179019 + 3.85401i −0.0147152 + 0.316798i
\(149\) −11.3030 3.02863i −0.925977 0.248115i −0.235839 0.971792i \(-0.575784\pi\)
−0.690139 + 0.723677i \(0.742450\pi\)
\(150\) 6.61193 + 25.0850i 0.539862 + 2.04818i
\(151\) −4.24025 + 7.34432i −0.345066 + 0.597673i −0.985366 0.170453i \(-0.945477\pi\)
0.640299 + 0.768125i \(0.278810\pi\)
\(152\) 3.56655 7.15677i 0.289285 0.580490i
\(153\) 5.90813 6.37840i 0.477644 0.515663i
\(154\) −7.13844 + 8.86899i −0.575232 + 0.714684i
\(155\) 1.93368 0.518128i 0.155317 0.0416170i
\(156\) −0.870651 8.37295i −0.0697079 0.670372i
\(157\) 3.53516 + 0.947242i 0.282136 + 0.0755981i 0.397112 0.917770i \(-0.370012\pi\)
−0.114976 + 0.993368i \(0.536679\pi\)
\(158\) −3.48175 4.76239i −0.276993 0.378875i
\(159\) −11.6270 + 5.07875i −0.922084 + 0.402771i
\(160\) 15.5576 16.0269i 1.22994 1.26704i
\(161\) 7.01840i 0.553127i
\(162\) −4.23732 + 12.0019i −0.332916 + 0.942957i
\(163\) −3.86060 3.86060i −0.302385 0.302385i 0.539561 0.841946i \(-0.318590\pi\)
−0.841946 + 0.539561i \(0.818590\pi\)
\(164\) −0.904908 + 2.84239i −0.0706614 + 0.221953i
\(165\) 17.4690 + 6.84745i 1.35996 + 0.533073i
\(166\) 2.82998 18.2180i 0.219649 1.41399i
\(167\) −5.98224 + 3.45385i −0.462920 + 0.267267i −0.713271 0.700888i \(-0.752787\pi\)
0.250351 + 0.968155i \(0.419454\pi\)
\(168\) 12.0705 + 7.80673i 0.931258 + 0.602302i
\(169\) −6.14414 3.54732i −0.472626 0.272871i
\(170\) −10.1469 + 12.6067i −0.778229 + 0.966894i
\(171\) −0.324387 8.47507i −0.0248065 0.648105i
\(172\) 5.30164 8.27102i 0.404247 0.630659i
\(173\) 3.86859 1.03659i 0.294123 0.0788101i −0.108740 0.994070i \(-0.534682\pi\)
0.402863 + 0.915260i \(0.368015\pi\)
\(174\) 18.5403 + 10.8053i 1.40554 + 0.819151i
\(175\) 26.9127 15.5381i 2.03441 1.17457i
\(176\) −1.84545 10.8179i −0.139106 0.815429i
\(177\) 2.64026 3.58063i 0.198454 0.269137i
\(178\) 9.48669 + 4.19001i 0.711058 + 0.314055i
\(179\) 10.0625 10.0625i 0.752109 0.752109i −0.222764 0.974872i \(-0.571508\pi\)
0.974872 + 0.222764i \(0.0715078\pi\)
\(180\) 6.31821 22.8330i 0.470931 1.70187i
\(181\) 15.0346 + 15.0346i 1.11751 + 1.11751i 0.992106 + 0.125405i \(0.0400229\pi\)
0.125405 + 0.992106i \(0.459977\pi\)
\(182\) −9.40363 + 3.64181i −0.697044 + 0.269949i
\(183\) −2.23673 + 19.9283i −0.165344 + 1.47314i
\(184\) −5.06767 4.48179i −0.373593 0.330402i
\(185\) −3.80849 6.59651i −0.280006 0.484985i
\(186\) −1.19825 0.326317i −0.0878603 0.0239267i
\(187\) 2.05787 + 7.68009i 0.150487 + 0.561624i
\(188\) −12.7310 + 2.78523i −0.928501 + 0.203134i
\(189\) 15.2058 + 1.11987i 1.10606 + 0.0814585i
\(190\) 1.69679 + 15.6951i 0.123098 + 1.13864i
\(191\) −10.9007 + 18.8806i −0.788749 + 1.36615i 0.137984 + 0.990434i \(0.455938\pi\)
−0.926734 + 0.375719i \(0.877396\pi\)
\(192\) −13.3448 + 3.73035i −0.963080 + 0.269215i
\(193\) −2.34723 4.06553i −0.168958 0.292643i 0.769096 0.639133i \(-0.220707\pi\)
−0.938054 + 0.346490i \(0.887373\pi\)
\(194\) 5.71130 4.17549i 0.410047 0.299782i
\(195\) 10.3676 + 12.9892i 0.742440 + 0.930173i
\(196\) 0.976859 3.06840i 0.0697757 0.219171i
\(197\) 14.3226 14.3226i 1.02044 1.02044i 0.0206566 0.999787i \(-0.493424\pi\)
0.999787 0.0206566i \(-0.00657567\pi\)
\(198\) −7.22406 9.12685i −0.513391 0.648617i
\(199\) −14.4965 −1.02763 −0.513816 0.857901i \(-0.671768\pi\)
−0.513816 + 0.857901i \(0.671768\pi\)
\(200\) −5.96653 + 29.3547i −0.421898 + 2.07569i
\(201\) −10.0683 + 13.6542i −0.710160 + 0.963096i
\(202\) 2.37305 15.2765i 0.166967 1.07485i
\(203\) 6.65332 24.8305i 0.466971 1.74276i
\(204\) 9.37644 3.58736i 0.656482 0.251165i
\(205\) −1.52421 5.68844i −0.106456 0.397298i
\(206\) −0.0978753 0.905334i −0.00681930 0.0630776i
\(207\) −6.99702 1.59072i −0.486327 0.110563i
\(208\) 3.37536 9.11552i 0.234039 0.632047i
\(209\) 6.71710 + 3.87812i 0.464632 + 0.268255i
\(210\) −28.3797 0.115787i −1.95839 0.00799008i
\(211\) −1.71268 + 6.39179i −0.117905 + 0.440029i −0.999488 0.0320010i \(-0.989812\pi\)
0.881582 + 0.472030i \(0.156479\pi\)
\(212\) −14.6349 0.679790i −1.00513 0.0466882i
\(213\) 2.94178 7.50499i 0.201568 0.514234i
\(214\) 2.70245 + 6.97808i 0.184736 + 0.477012i
\(215\) 19.3957i 1.32277i
\(216\) −10.5187 + 10.2643i −0.715708 + 0.698399i
\(217\) 1.48769i 0.100991i
\(218\) 11.2062 4.33989i 0.758976 0.293934i
\(219\) 3.10927 7.93229i 0.210105 0.536014i
\(220\) 14.5927 + 16.0144i 0.983837 + 1.07969i
\(221\) −1.82276 + 6.80265i −0.122612 + 0.457596i
\(222\) −0.0192786 + 4.72523i −0.00129390 + 0.317137i
\(223\) 1.59599 + 0.921443i 0.106875 + 0.0617044i 0.552485 0.833523i \(-0.313680\pi\)
−0.445610 + 0.895227i \(0.647013\pi\)
\(224\) 8.51209 + 14.2501i 0.568738 + 0.952128i
\(225\) 9.39099 + 30.3525i 0.626066 + 2.02350i
\(226\) 23.4417 2.53428i 1.55932 0.168578i
\(227\) −0.184084 0.687012i −0.0122181 0.0455986i 0.959548 0.281546i \(-0.0908473\pi\)
−0.971766 + 0.235948i \(0.924181\pi\)
\(228\) 3.99322 8.94223i 0.264457 0.592214i
\(229\) 1.98433 7.40562i 0.131128 0.489377i −0.868856 0.495066i \(-0.835144\pi\)
0.999984 + 0.00568843i \(0.00181069\pi\)
\(230\) 13.1979 + 2.05016i 0.870243 + 0.135183i
\(231\) −8.27520 + 11.2226i −0.544468 + 0.738390i
\(232\) 13.6803 + 20.6603i 0.898158 + 1.35641i
\(233\) 1.36925 0.0897024 0.0448512 0.998994i \(-0.485719\pi\)
0.0448512 + 0.998994i \(0.485719\pi\)
\(234\) −1.49939 10.2004i −0.0980183 0.666821i
\(235\) 18.1929 18.1929i 1.18677 1.18677i
\(236\) 4.56319 2.35933i 0.297038 0.153579i
\(237\) −4.50730 5.64701i −0.292780 0.366812i
\(238\) −7.09772 9.70837i −0.460077 0.629300i
\(239\) −0.773627 1.33996i −0.0500418 0.0866749i 0.839919 0.542711i \(-0.182602\pi\)
−0.889961 + 0.456036i \(0.849269\pi\)
\(240\) 18.2063 20.4178i 1.17521 1.31796i
\(241\) 3.83660 6.64519i 0.247137 0.428054i −0.715593 0.698517i \(-0.753844\pi\)
0.962730 + 0.270463i \(0.0871769\pi\)
\(242\) −4.88308 + 0.527908i −0.313896 + 0.0339352i
\(243\) −4.56286 + 14.9057i −0.292707 + 0.956202i
\(244\) −12.4959 + 19.4946i −0.799965 + 1.24801i
\(245\) 1.64541 + 6.14075i 0.105121 + 0.392318i
\(246\) −0.959949 + 3.52499i −0.0612041 + 0.224745i
\(247\) 3.43505 + 5.94968i 0.218567 + 0.378569i
\(248\) −1.07419 0.950004i −0.0682112 0.0603253i
\(249\) 2.51855 22.4391i 0.159606 1.42202i
\(250\) −11.2743 29.1116i −0.713048 1.84118i
\(251\) −5.46632 5.46632i −0.345031 0.345031i 0.513224 0.858255i \(-0.328451\pi\)
−0.858255 + 0.513224i \(0.828451\pi\)
\(252\) 15.1747 + 8.92699i 0.955916 + 0.562348i
\(253\) 4.64014 4.64014i 0.291723 0.291723i
\(254\) 10.2832 23.2825i 0.645227 1.46087i
\(255\) −11.7627 + 15.9522i −0.736609 + 0.998965i
\(256\) −15.7250 2.95362i −0.982813 0.184602i
\(257\) −20.5918 + 11.8887i −1.28448 + 0.741596i −0.977664 0.210172i \(-0.932598\pi\)
−0.306818 + 0.951768i \(0.599264\pi\)
\(258\) 6.05861 10.3956i 0.377192 0.647204i
\(259\) 5.46761 1.46504i 0.339741 0.0910333i
\(260\) 4.10141 + 18.7471i 0.254359 + 1.16264i
\(261\) 23.2469 + 12.2609i 1.43895 + 0.758929i
\(262\) 19.8594 + 15.9844i 1.22692 + 0.987517i
\(263\) −6.13704 3.54322i −0.378426 0.218484i 0.298707 0.954345i \(-0.403445\pi\)
−0.677133 + 0.735860i \(0.736778\pi\)
\(264\) −2.81894 13.1416i −0.173494 0.808811i
\(265\) 25.0490 14.4621i 1.53875 0.888397i
\(266\) −11.5926 1.80079i −0.710788 0.110414i
\(267\) 11.8256 + 4.63535i 0.723713 + 0.283679i
\(268\) −17.4011 + 8.99698i −1.06294 + 0.549578i
\(269\) 20.6616 + 20.6616i 1.25976 + 1.25976i 0.951207 + 0.308553i \(0.0998448\pi\)
0.308553 + 0.951207i \(0.400155\pi\)
\(270\) 6.54769 28.2670i 0.398479 1.72028i
\(271\) 16.6901i 1.01385i 0.861989 + 0.506927i \(0.169218\pi\)
−0.861989 + 0.506927i \(0.830782\pi\)
\(272\) 11.5424 + 1.07461i 0.699862 + 0.0651577i
\(273\) −11.3180 + 4.94374i −0.684994 + 0.299209i
\(274\) −0.904539 + 0.661302i −0.0546452 + 0.0399507i
\(275\) −28.0659 7.52024i −1.69244 0.453487i
\(276\) −6.43336 5.22145i −0.387243 0.314294i
\(277\) 4.49217 1.20367i 0.269908 0.0723217i −0.121326 0.992613i \(-0.538715\pi\)
0.391235 + 0.920291i \(0.372048\pi\)
\(278\) −23.3966 18.8314i −1.40324 1.12943i
\(279\) −1.48316 0.337184i −0.0887942 0.0201867i
\(280\) −29.3301 14.6165i −1.75281 0.873505i
\(281\) −11.4153 + 19.7719i −0.680979 + 1.17949i 0.293703 + 0.955897i \(0.405112\pi\)
−0.974682 + 0.223594i \(0.928221\pi\)
\(282\) −15.4338 + 4.06807i −0.919072 + 0.242250i
\(283\) −24.9438 6.68368i −1.48276 0.397303i −0.575472 0.817822i \(-0.695182\pi\)
−0.907284 + 0.420518i \(0.861848\pi\)
\(284\) 6.88004 6.26926i 0.408256 0.372012i
\(285\) 2.88985 + 19.1173i 0.171180 + 1.13241i
\(286\) 8.62486 + 3.80937i 0.509999 + 0.225253i
\(287\) 4.37643 0.258333
\(288\) −16.1360 + 5.25638i −0.950823 + 0.309735i
\(289\) 8.60110 0.505947
\(290\) −44.7495 19.7646i −2.62778 1.16062i
\(291\) 6.77217 5.40538i 0.396992 0.316869i
\(292\) 7.27176 6.62620i 0.425547 0.387769i
\(293\) −2.76706 0.741431i −0.161653 0.0433149i 0.177085 0.984196i \(-0.443333\pi\)
−0.338738 + 0.940881i \(0.610000\pi\)
\(294\) 1.03628 3.80527i 0.0604369 0.221928i
\(295\) −5.07090 + 8.78306i −0.295239 + 0.511370i
\(296\) −2.43366 + 4.88346i −0.141453 + 0.283845i
\(297\) −9.31280 10.7936i −0.540383 0.626307i
\(298\) −12.8917 10.3762i −0.746794 0.601077i
\(299\) 5.61438 1.50437i 0.324688 0.0869998i
\(300\) −5.77930 + 36.2291i −0.333668 + 2.09169i
\(301\) −13.9226 3.73054i −0.802484 0.215025i
\(302\) −9.68174 + 7.07825i −0.557121 + 0.407307i
\(303\) 2.11190 18.8161i 0.121326 1.08096i
\(304\) 8.70304 7.22054i 0.499154 0.414127i
\(305\) 45.7152i 2.61764i
\(306\) 11.2875 4.87570i 0.645263 0.278725i
\(307\) −7.67329 7.67329i −0.437938 0.437938i 0.453380 0.891317i \(-0.350218\pi\)
−0.891317 + 0.453380i \(0.850218\pi\)
\(308\) −14.3021 + 7.39470i −0.814940 + 0.421352i
\(309\) −0.166694 1.10274i −0.00948289 0.0627325i
\(310\) 2.79755 + 0.434571i 0.158890 + 0.0246820i
\(311\) 15.0777 8.70513i 0.854980 0.493623i −0.00734815 0.999973i \(-0.502339\pi\)
0.862328 + 0.506350i \(0.169006\pi\)
\(312\) 3.65774 11.3291i 0.207079 0.641387i
\(313\) −21.3027 12.2991i −1.20410 0.695189i −0.242638 0.970117i \(-0.578013\pi\)
−0.961465 + 0.274928i \(0.911346\pi\)
\(314\) 4.03203 + 3.24529i 0.227541 + 0.183142i
\(315\) −34.7328 + 1.32941i −1.95697 + 0.0749039i
\(316\) −1.78308 8.15024i −0.100306 0.458487i
\(317\) −7.99342 + 2.14183i −0.448955 + 0.120297i −0.476211 0.879331i \(-0.657990\pi\)
0.0272552 + 0.999629i \(0.491323\pi\)
\(318\) −17.9432 0.0732070i −1.00620 0.00410524i
\(319\) −20.8152 + 12.0177i −1.16543 + 0.672860i
\(320\) 29.2835 11.8441i 1.63699 0.662106i
\(321\) 3.66857 + 8.39862i 0.204759 + 0.468765i
\(322\) −4.01011 + 9.07937i −0.223475 + 0.505973i
\(323\) −5.79343 + 5.79343i −0.322355 + 0.322355i
\(324\) −12.3391 + 13.1052i −0.685508 + 0.728065i
\(325\) −18.1983 18.1983i −1.00946 1.00946i
\(326\) −2.78844 7.20010i −0.154437 0.398777i
\(327\) 13.4874 5.89138i 0.745856 0.325794i
\(328\) −2.79469 + 3.16003i −0.154311 + 0.174483i
\(329\) 9.55998 + 16.5584i 0.527059 + 0.912893i
\(330\) 18.6864 + 18.8395i 1.02865 + 1.03708i
\(331\) 6.84245 + 25.5364i 0.376095 + 1.40361i 0.851738 + 0.523968i \(0.175549\pi\)
−0.475643 + 0.879639i \(0.657784\pi\)
\(332\) 14.0702 21.9508i 0.772205 1.20471i
\(333\) 0.221347 + 5.78301i 0.0121298 + 0.316907i
\(334\) −9.71236 + 1.05000i −0.531437 + 0.0574535i
\(335\) 19.3372 33.4930i 1.05650 1.82992i
\(336\) 11.1545 + 16.9959i 0.608526 + 0.927203i
\(337\) 12.3368 + 21.3679i 0.672026 + 1.16398i 0.977329 + 0.211728i \(0.0679092\pi\)
−0.305302 + 0.952256i \(0.598757\pi\)
\(338\) −5.92154 8.09958i −0.322090 0.440559i
\(339\) 28.5531 4.31619i 1.55079 0.234423i
\(340\) −20.3296 + 10.5111i −1.10253 + 0.570046i
\(341\) 0.983569 0.983569i 0.0532632 0.0532632i
\(342\) 4.42276 11.1491i 0.239156 0.602876i
\(343\) 15.8156 0.853964
\(344\) 11.5843 7.67062i 0.624584 0.413572i
\(345\) 16.2558 + 1.82454i 0.875185 + 0.0982300i
\(346\) 5.59688 + 0.869418i 0.300890 + 0.0467402i
\(347\) 6.16895 23.0228i 0.331166 1.23593i −0.576799 0.816886i \(-0.695699\pi\)
0.907966 0.419044i \(-0.137635\pi\)
\(348\) 17.8108 + 24.5718i 0.954762 + 1.31718i
\(349\) 6.94337 + 25.9130i 0.371670 + 1.38709i 0.858149 + 0.513400i \(0.171614\pi\)
−0.486479 + 0.873692i \(0.661719\pi\)
\(350\) 43.6937 4.72371i 2.33553 0.252493i
\(351\) −2.36348 12.4040i −0.126153 0.662075i
\(352\) 3.79365 15.0490i 0.202202 0.802115i
\(353\) 5.54075 + 3.19895i 0.294904 + 0.170263i 0.640151 0.768249i \(-0.278872\pi\)
−0.345247 + 0.938512i \(0.612205\pi\)
\(354\) 5.46144 3.12352i 0.290272 0.166013i
\(355\) −4.75614 + 17.7502i −0.252430 + 0.942080i
\(356\) 9.87843 + 10.8408i 0.523556 + 0.574563i
\(357\) −9.18835 11.5117i −0.486299 0.609264i
\(358\) 18.7668 7.26798i 0.991859 0.384125i
\(359\) 17.2363i 0.909697i 0.890569 + 0.454849i \(0.150307\pi\)
−0.890569 + 0.454849i \(0.849693\pi\)
\(360\) 21.2197 25.9279i 1.11837 1.36652i
\(361\) 11.0076i 0.579345i
\(362\) 10.8592 + 28.0398i 0.570746 + 1.47374i
\(363\) −5.94781 + 0.899094i −0.312179 + 0.0471902i
\(364\) −14.2459 0.661719i −0.746686 0.0346835i
\(365\) −5.02693 + 18.7608i −0.263121 + 0.981983i
\(366\) −14.2800 + 24.5023i −0.746427 + 1.28075i
\(367\) −1.26366 0.729575i −0.0659625 0.0380835i 0.466656 0.884439i \(-0.345459\pi\)
−0.532619 + 0.846355i \(0.678792\pi\)
\(368\) −3.99503 8.69340i −0.208255 0.453175i
\(369\) −0.991918 + 4.36310i −0.0516372 + 0.227134i
\(370\) −1.15782 10.7096i −0.0601920 0.556768i
\(371\) 5.56323 + 20.7623i 0.288829 + 1.07792i
\(372\) −1.36368 1.10679i −0.0707033 0.0573843i
\(373\) −2.08247 + 7.77189i −0.107826 + 0.402413i −0.998650 0.0519349i \(-0.983461\pi\)
0.890824 + 0.454348i \(0.150128\pi\)
\(374\) −1.72601 + 11.1112i −0.0892497 + 0.574545i
\(375\) −15.3048 35.0379i −0.790335 1.80935i
\(376\) −18.0608 3.67098i −0.931417 0.189316i
\(377\) −21.2893 −1.09646
\(378\) 19.0312 + 10.1369i 0.978860 + 0.521386i
\(379\) −16.4748 + 16.4748i −0.846255 + 0.846255i −0.989664 0.143409i \(-0.954194\pi\)
0.143409 + 0.989664i \(0.454194\pi\)
\(380\) −6.77266 + 21.2735i −0.347430 + 1.09131i
\(381\) 11.3762 29.0226i 0.582819 1.48687i
\(382\) −24.8896 + 18.1966i −1.27346 + 0.931019i
\(383\) −5.19654 9.00067i −0.265531 0.459913i 0.702172 0.712008i \(-0.252214\pi\)
−0.967703 + 0.252095i \(0.918881\pi\)
\(384\) −19.3950 2.79907i −0.989746 0.142839i
\(385\) 15.8934 27.5282i 0.810004 1.40297i
\(386\) −0.713580 6.60052i −0.0363203 0.335958i
\(387\) 6.87473 13.0346i 0.349462 0.662588i
\(388\) 9.77418 2.13836i 0.496209 0.108559i
\(389\) 6.24292 + 23.2989i 0.316529 + 1.18130i 0.922558 + 0.385859i \(0.126095\pi\)
−0.606029 + 0.795442i \(0.707239\pi\)
\(390\) 5.99046 + 22.7272i 0.303339 + 1.15084i
\(391\) 3.46590 + 6.00311i 0.175278 + 0.303590i
\(392\) 3.01691 3.41129i 0.152377 0.172296i
\(393\) 25.1295 + 18.5298i 1.26761 + 0.934704i
\(394\) 26.7120 10.3449i 1.34573 0.521171i
\(395\) 11.6469 + 11.6469i 0.586019 + 0.586019i
\(396\) −4.13060 15.9346i −0.207570 0.800743i
\(397\) 8.37131 8.37131i 0.420144 0.420144i −0.465109 0.885253i \(-0.653985\pi\)
0.885253 + 0.465109i \(0.153985\pi\)
\(398\) −18.7535 8.28289i −0.940026 0.415184i
\(399\) −14.2786 1.60262i −0.714824 0.0802312i
\(400\) −24.4911 + 34.5657i −1.22455 + 1.72829i
\(401\) −3.16266 + 1.82596i −0.157936 + 0.0911842i −0.576885 0.816825i \(-0.695732\pi\)
0.418949 + 0.908010i \(0.362399\pi\)
\(402\) −20.8265 + 11.9111i −1.03873 + 0.594073i
\(403\) 1.19008 0.318880i 0.0592820 0.0158846i
\(404\) 11.7985 18.4066i 0.586996 0.915764i
\(405\) 6.54681 34.9283i 0.325313 1.73560i
\(406\) 22.7945 28.3205i 1.13127 1.40552i
\(407\) −4.58345 2.64626i −0.227193 0.131170i
\(408\) 14.1796 + 0.716628i 0.701993 + 0.0354784i
\(409\) −12.1263 + 7.00113i −0.599607 + 0.346184i −0.768887 0.639385i \(-0.779189\pi\)
0.169280 + 0.985568i \(0.445856\pi\)
\(410\) 1.27841 8.22976i 0.0631361 0.406439i
\(411\) −1.07256 + 0.856089i −0.0529054 + 0.0422277i
\(412\) 0.390665 1.22711i 0.0192467 0.0604554i
\(413\) −5.32931 5.32931i −0.262238 0.262238i
\(414\) −8.14282 6.05573i −0.400198 0.297623i
\(415\) 51.4750i 2.52681i
\(416\) 9.57488 9.86373i 0.469447 0.483609i
\(417\) −29.6053 21.8302i −1.44978 1.06903i
\(418\) 6.47375 + 8.85490i 0.316641 + 0.433107i
\(419\) 0.601258 + 0.161107i 0.0293734 + 0.00787057i 0.273476 0.961879i \(-0.411827\pi\)
−0.244102 + 0.969749i \(0.578493\pi\)
\(420\) −36.6473 16.3651i −1.78821 0.798536i
\(421\) 17.3705 4.65440i 0.846585 0.226842i 0.190649 0.981658i \(-0.438941\pi\)
0.655936 + 0.754816i \(0.272274\pi\)
\(422\) −5.86769 + 7.29018i −0.285635 + 0.354881i
\(423\) −18.6747 + 5.77791i −0.907995 + 0.280932i
\(424\) −18.5440 9.24136i −0.900578 0.448800i
\(425\) 15.3463 26.5806i 0.744407 1.28935i
\(426\) 8.09377 8.02800i 0.392145 0.388958i
\(427\) 32.8152 + 8.79280i 1.58804 + 0.425514i
\(428\) −0.491037 + 10.5713i −0.0237352 + 0.510983i
\(429\) 10.7513 + 4.21424i 0.519075 + 0.203465i
\(430\) −11.0821 + 25.0913i −0.534427 + 1.21001i
\(431\) 6.34380 0.305570 0.152785 0.988259i \(-0.451176\pi\)
0.152785 + 0.988259i \(0.451176\pi\)
\(432\) −19.4723 + 7.26838i −0.936862 + 0.349700i
\(433\) 26.7319 1.28465 0.642327 0.766430i \(-0.277969\pi\)
0.642327 + 0.766430i \(0.277969\pi\)
\(434\) −0.850021 + 1.92455i −0.0408023 + 0.0923813i
\(435\) −55.7822 21.8653i −2.67455 1.04836i
\(436\) 16.9765 + 0.788560i 0.813029 + 0.0377652i
\(437\) 6.53158 + 1.75013i 0.312448 + 0.0837202i
\(438\) 8.55459 8.48507i 0.408754 0.405432i
\(439\) 0.347800 0.602407i 0.0165996 0.0287513i −0.857606 0.514307i \(-0.828049\pi\)
0.874206 + 0.485555i \(0.161383\pi\)
\(440\) 9.72769 + 29.0548i 0.463750 + 1.38513i
\(441\) 1.07079 4.71003i 0.0509899 0.224287i
\(442\) −6.24486 + 7.75878i −0.297037 + 0.369048i
\(443\) −15.8656 + 4.25119i −0.753800 + 0.201980i −0.615203 0.788369i \(-0.710926\pi\)
−0.138597 + 0.990349i \(0.544259\pi\)
\(444\) −2.72480 + 6.10179i −0.129313 + 0.289578i
\(445\) −27.9688 7.49422i −1.32585 0.355260i
\(446\) 1.53816 + 2.10393i 0.0728342 + 0.0996238i
\(447\) −16.3127 12.0285i −0.771565 0.568931i
\(448\) 2.86957 + 23.2983i 0.135575 + 1.10074i
\(449\) 12.0759i 0.569896i 0.958543 + 0.284948i \(0.0919763\pi\)
−0.958543 + 0.284948i \(0.908024\pi\)
\(450\) −5.19384 + 44.6313i −0.244840 + 2.10394i
\(451\) −2.89343 2.89343i −0.136247 0.136247i
\(452\) 31.7735 + 10.1155i 1.49450 + 0.475791i
\(453\) −11.4801 + 9.16314i −0.539383 + 0.430522i
\(454\) 0.154398 0.993935i 0.00724624 0.0466477i
\(455\) 24.3831 14.0776i 1.14310 0.659969i
\(456\) 10.2752 9.28653i 0.481179 0.434882i
\(457\) −10.6069 6.12391i −0.496171 0.286464i 0.230960 0.972963i \(-0.425813\pi\)
−0.727131 + 0.686499i \(0.759147\pi\)
\(458\) 6.79839 8.44651i 0.317668 0.394679i
\(459\) 13.5592 6.55124i 0.632888 0.305786i
\(460\) 15.9021 + 10.1931i 0.741438 + 0.475255i
\(461\) −30.3154 + 8.12298i −1.41193 + 0.378325i −0.882613 0.470101i \(-0.844217\pi\)
−0.529314 + 0.848426i \(0.677551\pi\)
\(462\) −17.1175 + 9.78987i −0.796376 + 0.455466i
\(463\) 30.9163 17.8495i 1.43680 0.829538i 0.439176 0.898401i \(-0.355271\pi\)
0.997626 + 0.0688633i \(0.0219372\pi\)
\(464\) 5.89291 + 34.5437i 0.273572 + 1.60365i
\(465\) 3.44574 + 0.386747i 0.159793 + 0.0179350i
\(466\) 1.77133 + 0.782348i 0.0820553 + 0.0362416i
\(467\) −7.64586 + 7.64586i −0.353808 + 0.353808i −0.861524 0.507716i \(-0.830490\pi\)
0.507716 + 0.861524i \(0.330490\pi\)
\(468\) 3.88852 14.0525i 0.179747 0.649576i
\(469\) 20.3226 + 20.3226i 0.938411 + 0.938411i
\(470\) 33.9301 13.1404i 1.56508 0.606120i
\(471\) 5.10201 + 3.76208i 0.235088 + 0.173348i
\(472\) 7.25123 0.444875i 0.333765 0.0204770i
\(473\) 6.73836 + 11.6712i 0.309830 + 0.536641i
\(474\) −2.60434 9.88060i −0.119621 0.453831i
\(475\) −7.74926 28.9206i −0.355560 1.32697i
\(476\) −3.63490 16.6147i −0.166605 0.761533i
\(477\) −21.9599 + 0.840526i −1.00548 + 0.0384851i
\(478\) −0.235189 2.17547i −0.0107573 0.0995038i
\(479\) −3.03628 + 5.25898i −0.138731 + 0.240289i −0.927017 0.375020i \(-0.877636\pi\)
0.788286 + 0.615310i \(0.210969\pi\)
\(480\) 35.2187 16.0110i 1.60750 0.730797i
\(481\) −2.34393 4.05980i −0.106874 0.185111i
\(482\) 8.76009 6.40444i 0.399011 0.291714i
\(483\) −4.43632 + 11.3178i −0.201859 + 0.514978i
\(484\) −6.61864 2.10712i −0.300847 0.0957782i
\(485\) −13.9675 + 13.9675i −0.634234 + 0.634234i
\(486\) −14.4194 + 16.6757i −0.654079 + 0.756426i
\(487\) −7.15811 −0.324365 −0.162183 0.986761i \(-0.551853\pi\)
−0.162183 + 0.986761i \(0.551853\pi\)
\(488\) −27.3039 + 18.0795i −1.23599 + 0.818419i
\(489\) −3.78529 8.66584i −0.171177 0.391883i
\(490\) −1.38006 + 8.88413i −0.0623446 + 0.401344i
\(491\) −7.24226 + 27.0285i −0.326838 + 1.21978i 0.585612 + 0.810591i \(0.300854\pi\)
−0.912451 + 0.409187i \(0.865813\pi\)
\(492\) −3.25592 + 4.01162i −0.146788 + 0.180858i
\(493\) −6.57122 24.5241i −0.295953 1.10451i
\(494\) 1.04429 + 9.65950i 0.0469846 + 0.434602i
\(495\) 23.8421 + 22.0843i 1.07162 + 0.992614i
\(496\) −0.846826 1.84274i −0.0380236 0.0827413i
\(497\) −11.8266 6.82809i −0.530495 0.306282i
\(498\) 16.0792 27.5894i 0.720525 1.23631i
\(499\) 11.4708 42.8097i 0.513505 1.91643i 0.134937 0.990854i \(-0.456917\pi\)
0.378568 0.925573i \(-0.376416\pi\)
\(500\) 2.04854 44.1021i 0.0916135 1.97231i
\(501\) −11.8301 + 1.78828i −0.528529 + 0.0798945i
\(502\) −3.94822 10.1948i −0.176218 0.455017i
\(503\) 3.93000i 0.175230i −0.996154 0.0876151i \(-0.972075\pi\)
0.996154 0.0876151i \(-0.0279245\pi\)
\(504\) 14.5301 + 20.2188i 0.647224 + 0.900617i
\(505\) 43.1638i 1.92077i
\(506\) 8.65397 3.35149i 0.384716 0.148992i
\(507\) −7.66573 9.60408i −0.340447 0.426532i
\(508\) 26.6058 24.2439i 1.18044 1.07565i
\(509\) 10.8415 40.4609i 0.480539 1.79340i −0.118819 0.992916i \(-0.537911\pi\)
0.599358 0.800481i \(-0.295423\pi\)
\(510\) −24.3315 + 13.9157i −1.07741 + 0.616199i
\(511\) −12.4999 7.21684i −0.552965 0.319254i
\(512\) −18.6551 12.8058i −0.824446 0.565941i
\(513\) 4.83397 13.8719i 0.213425 0.612458i
\(514\) −33.4315 + 3.61427i −1.47460 + 0.159418i
\(515\) 0.658030 + 2.45580i 0.0289963 + 0.108216i
\(516\) 13.7775 9.98662i 0.606520 0.439636i
\(517\) 4.62691 17.2679i 0.203491 0.759441i
\(518\) 7.91027 + 1.22878i 0.347557 + 0.0539895i
\(519\) 6.89368 + 0.773740i 0.302599 + 0.0339634i
\(520\) −5.40572 + 26.5956i −0.237057 + 1.16629i
\(521\) −26.1826 −1.14708 −0.573540 0.819178i \(-0.694430\pi\)
−0.573540 + 0.819178i \(0.694430\pi\)
\(522\) 23.0679 + 29.1439i 1.00965 + 1.27559i
\(523\) 7.29036 7.29036i 0.318785 0.318785i −0.529515 0.848300i \(-0.677626\pi\)
0.848300 + 0.529515i \(0.177626\pi\)
\(524\) 16.5582 + 32.0253i 0.723347 + 1.39903i
\(525\) 53.2208 8.04507i 2.32275 0.351116i
\(526\) −5.91470 8.09022i −0.257893 0.352750i
\(527\) 0.734665 + 1.27248i 0.0320025 + 0.0554300i
\(528\) 3.86201 18.6113i 0.168072 0.809955i
\(529\) −8.63952 + 14.9641i −0.375631 + 0.650612i
\(530\) 40.6679 4.39659i 1.76650 0.190976i
\(531\) 6.52096 4.10519i 0.282986 0.178150i
\(532\) −13.9679 8.95326i −0.605584 0.388173i
\(533\) −0.938073 3.50093i −0.0406324 0.151642i
\(534\) 12.6497 + 12.7533i 0.547404 + 0.551889i
\(535\) −10.4465 18.0938i −0.451640 0.782263i
\(536\) −27.6516 + 1.69647i −1.19437 + 0.0732763i
\(537\) 22.5873 9.86624i 0.974712 0.425760i
\(538\) 14.9235 + 38.5344i 0.643397 + 1.66133i
\(539\) 3.12350 + 3.12350i 0.134539 + 0.134539i
\(540\) 24.6214 32.8265i 1.05954 1.41263i
\(541\) 13.6906 13.6906i 0.588607 0.588607i −0.348647 0.937254i \(-0.613359\pi\)
0.937254 + 0.348647i \(0.113359\pi\)
\(542\) −9.53625 + 21.5912i −0.409617 + 0.927422i
\(543\) 14.7413 + 33.7479i 0.632609 + 1.44826i
\(544\) 14.3179 + 7.98517i 0.613874 + 0.342361i
\(545\) −29.0570 + 16.7761i −1.24466 + 0.718607i
\(546\) −17.4662 0.0712609i −0.747484 0.00304969i
\(547\) 29.0133 7.77408i 1.24052 0.332396i 0.421851 0.906665i \(-0.361380\pi\)
0.818666 + 0.574269i \(0.194714\pi\)
\(548\) −1.54801 + 0.338667i −0.0661276 + 0.0144672i
\(549\) −16.2036 + 30.7224i −0.691552 + 1.31120i
\(550\) −32.0107 25.7646i −1.36494 1.09861i
\(551\) −21.4491 12.3836i −0.913762 0.527561i
\(552\) −5.33914 10.4306i −0.227249 0.443954i
\(553\) −10.6005 + 6.12021i −0.450780 + 0.260258i
\(554\) 6.49904 + 1.00956i 0.276118 + 0.0428921i
\(555\) −1.97191 13.0448i −0.0837027 0.553721i
\(556\) −19.5074 37.7294i −0.827297 1.60008i
\(557\) −1.85284 1.85284i −0.0785074 0.0785074i 0.666763 0.745270i \(-0.267679\pi\)
−0.745270 + 0.666763i \(0.767679\pi\)
\(558\) −1.72603 1.28363i −0.0730687 0.0543404i
\(559\) 11.9370i 0.504882i
\(560\) −29.5914 35.6670i −1.25047 1.50721i
\(561\) −1.53606 + 13.6856i −0.0648526 + 0.577808i
\(562\) −26.0645 + 19.0556i −1.09946 + 0.803810i
\(563\) 26.1400 + 7.00420i 1.10167 + 0.295192i 0.763445 0.645873i \(-0.223506\pi\)
0.338226 + 0.941065i \(0.390173\pi\)
\(564\) −22.2904 3.55578i −0.938595 0.149725i
\(565\) −63.5879 + 17.0383i −2.67516 + 0.716808i
\(566\) −28.4498 22.8985i −1.19583 0.962496i
\(567\) 23.8130 + 11.4175i 1.00005 + 0.479489i
\(568\) 12.4825 4.17918i 0.523752 0.175355i
\(569\) 5.84691 10.1271i 0.245115 0.424552i −0.717049 0.697023i \(-0.754508\pi\)
0.962164 + 0.272471i \(0.0878409\pi\)
\(570\) −7.18462 + 26.3823i −0.300930 + 1.10503i
\(571\) 44.1127 + 11.8200i 1.84606 + 0.494650i 0.999303 0.0373319i \(-0.0118859\pi\)
0.846756 + 0.531982i \(0.178553\pi\)
\(572\) 8.98101 + 9.85599i 0.375515 + 0.412100i
\(573\) −29.5128 + 23.5564i −1.23292 + 0.984082i
\(574\) 5.66158 + 2.50057i 0.236310 + 0.104372i
\(575\) −25.3314 −1.05639
\(576\) −23.8777 2.41971i −0.994905 0.100821i
\(577\) −32.6884 −1.36083 −0.680417 0.732825i \(-0.738202\pi\)
−0.680417 + 0.732825i \(0.738202\pi\)
\(578\) 11.1268 + 4.91442i 0.462815 + 0.204413i
\(579\) −1.21532 8.03972i −0.0505068 0.334119i
\(580\) −46.5974 51.1372i −1.93485 2.12335i
\(581\) −36.9497 9.90064i −1.53293 0.410748i
\(582\) 11.8493 3.12325i 0.491170 0.129463i
\(583\) 10.0487 17.4048i 0.416174 0.720834i
\(584\) 13.1931 4.41713i 0.545936 0.182782i
\(585\) 8.50830 + 27.4996i 0.351775 + 1.13697i
\(586\) −3.15598 2.54017i −0.130372 0.104933i
\(587\) 28.3101 7.58567i 1.16848 0.313094i 0.378134 0.925751i \(-0.376566\pi\)
0.790349 + 0.612657i \(0.209899\pi\)
\(588\) 3.51480 4.33060i 0.144948 0.178591i
\(589\) 1.38450 + 0.370975i 0.0570472 + 0.0152858i
\(590\) −11.5784 + 8.46486i −0.476674 + 0.348493i
\(591\) 32.1498 14.0432i 1.32247 0.577661i
\(592\) −5.93857 + 4.92698i −0.244074 + 0.202498i
\(593\) 43.9681i 1.80555i 0.430111 + 0.902776i \(0.358474\pi\)
−0.430111 + 0.902776i \(0.641526\pi\)
\(594\) −5.88039 19.2842i −0.241275 0.791240i
\(595\) 23.7428 + 23.7428i 0.973360 + 0.973360i
\(596\) −10.7487 20.7891i −0.440283 0.851555i
\(597\) −23.3770 9.16323i −0.956756 0.375026i
\(598\) 8.12260 + 1.26176i 0.332158 + 0.0515973i
\(599\) 2.81411 1.62473i 0.114982 0.0663846i −0.441406 0.897307i \(-0.645520\pi\)
0.556388 + 0.830923i \(0.312187\pi\)
\(600\) −28.1767 + 43.5658i −1.15031 + 1.77856i
\(601\) 12.6206 + 7.28651i 0.514806 + 0.297223i 0.734807 0.678276i \(-0.237273\pi\)
−0.220001 + 0.975500i \(0.570606\pi\)
\(602\) −15.8794 12.7810i −0.647198 0.520914i
\(603\) −24.8668 + 15.6546i −1.01266 + 0.637504i
\(604\) −16.5691 + 3.62493i −0.674187 + 0.147496i
\(605\) 13.2458 3.54920i 0.538519 0.144296i
\(606\) 13.4830 23.1348i 0.547711 0.939787i
\(607\) 32.0317 18.4935i 1.30013 0.750629i 0.319702 0.947518i \(-0.396417\pi\)
0.980426 + 0.196889i \(0.0630838\pi\)
\(608\) 15.3843 4.36821i 0.623916 0.177154i
\(609\) 26.4244 35.8359i 1.07077 1.45214i
\(610\) 26.1203 59.1395i 1.05758 2.39449i
\(611\) 11.1967 11.1967i 0.452972 0.452972i
\(612\) 17.3879 + 0.141886i 0.702865 + 0.00573538i
\(613\) 3.34985 + 3.34985i 0.135299 + 0.135299i 0.771513 0.636214i \(-0.219500\pi\)
−0.636214 + 0.771513i \(0.719500\pi\)
\(614\) −5.54227 14.3109i −0.223668 0.577539i
\(615\) 1.13772 10.1366i 0.0458774 0.408747i
\(616\) −22.7271 + 1.39434i −0.915701 + 0.0561797i
\(617\) −4.04358 7.00369i −0.162789 0.281958i 0.773079 0.634309i \(-0.218715\pi\)
−0.935868 + 0.352352i \(0.885382\pi\)
\(618\) 0.414427 1.52180i 0.0166707 0.0612158i
\(619\) 11.6692 + 43.5499i 0.469023 + 1.75042i 0.643194 + 0.765703i \(0.277609\pi\)
−0.174171 + 0.984715i \(0.555725\pi\)
\(620\) 3.37076 + 2.16062i 0.135373 + 0.0867727i
\(621\) −10.2778 6.98798i −0.412436 0.280418i
\(622\) 24.4792 2.64644i 0.981526 0.106112i
\(623\) 10.7590 18.6351i 0.431049 0.746599i
\(624\) 11.2050 12.5660i 0.448558 0.503044i
\(625\) 17.1046 + 29.6260i 0.684182 + 1.18504i
\(626\) −20.5310 28.0826i −0.820583 1.12241i
\(627\) 8.38059 + 10.4997i 0.334689 + 0.419318i
\(628\) 3.36179 + 6.50206i 0.134150 + 0.259460i
\(629\) 3.95318 3.95318i 0.157624 0.157624i
\(630\) −45.6917 18.1255i −1.82040 0.722137i
\(631\) −3.49919 −0.139300 −0.0696502 0.997571i \(-0.522188\pi\)
−0.0696502 + 0.997571i \(0.522188\pi\)
\(632\) 2.35013 11.5624i 0.0934830 0.459927i
\(633\) −6.80209 + 9.22477i −0.270359 + 0.366652i
\(634\) −11.5645 1.79642i −0.459284 0.0713451i
\(635\) −18.3925 + 68.6417i −0.729883 + 2.72396i
\(636\) −23.1704 10.3469i −0.918766 0.410282i
\(637\) 1.01266 + 3.77930i 0.0401231 + 0.149741i
\(638\) −33.7942 + 3.65348i −1.33792 + 0.144643i
\(639\) 9.48779 10.2430i 0.375331 0.405206i
\(640\) 44.6500 + 1.40955i 1.76495 + 0.0557174i
\(641\) 4.01739 + 2.31944i 0.158677 + 0.0916125i 0.577236 0.816577i \(-0.304131\pi\)
−0.418559 + 0.908190i \(0.637465\pi\)
\(642\) −0.0528800 + 12.9610i −0.00208701 + 0.511530i
\(643\) −10.6535 + 39.7595i −0.420134 + 1.56796i 0.354190 + 0.935173i \(0.384757\pi\)
−0.774324 + 0.632789i \(0.781910\pi\)
\(644\) −10.3754 + 9.45428i −0.408847 + 0.372551i
\(645\) −12.2600 + 31.2773i −0.482736 + 1.23154i
\(646\) −10.8049 + 4.18449i −0.425112 + 0.164636i
\(647\) 2.08960i 0.0821505i −0.999156 0.0410752i \(-0.986922\pi\)
0.999156 0.0410752i \(-0.0130783\pi\)
\(648\) −23.4505 + 9.90331i −0.921221 + 0.389039i
\(649\) 7.04684i 0.276613i
\(650\) −13.1443 33.9403i −0.515563 1.33125i
\(651\) −0.940365 + 2.39903i −0.0368558 + 0.0940255i
\(652\) 0.506660 10.9077i 0.0198423 0.427177i
\(653\) 4.75454 17.7442i 0.186059 0.694383i −0.808342 0.588713i \(-0.799635\pi\)
0.994401 0.105670i \(-0.0336987\pi\)
\(654\) 20.8142 + 0.0849205i 0.813899 + 0.00332065i
\(655\) −61.6410 35.5885i −2.40851 1.39056i
\(656\) −5.42091 + 2.49117i −0.211651 + 0.0972637i
\(657\) 10.0280 10.8262i 0.391228 0.422369i
\(658\) 2.90632 + 26.8831i 0.113300 + 1.04801i
\(659\) −7.84088 29.2626i −0.305437 1.13991i −0.932568 0.360994i \(-0.882438\pi\)
0.627131 0.778914i \(-0.284229\pi\)
\(660\) 13.4094 + 35.0486i 0.521958 + 1.36427i
\(661\) 12.5011 46.6546i 0.486235 1.81465i −0.0881985 0.996103i \(-0.528111\pi\)
0.574434 0.818551i \(-0.305222\pi\)
\(662\) −5.73899 + 36.9448i −0.223052 + 1.43590i
\(663\) −7.23932 + 9.81773i −0.281152 + 0.381289i
\(664\) 30.7440 20.3574i 1.19310 0.790019i
\(665\) 32.7549 1.27018
\(666\) −3.01790 + 7.60768i −0.116941 + 0.294791i
\(667\) −14.8169 + 14.8169i −0.573714 + 0.573714i
\(668\) −13.1644 4.19103i −0.509344 0.162156i
\(669\) 1.99123 + 2.49473i 0.0769854 + 0.0964519i
\(670\) 44.1525 32.2796i 1.70576 1.24707i
\(671\) −15.8822 27.5087i −0.613124 1.06196i
\(672\) 4.71904 + 28.3601i 0.182041 + 1.09402i
\(673\) 8.92590 15.4601i 0.344068 0.595944i −0.641116 0.767444i \(-0.721528\pi\)
0.985184 + 0.171500i \(0.0548615\pi\)
\(674\) 3.75049 + 34.6915i 0.144463 + 1.33627i
\(675\) −4.04192 + 54.8822i −0.155574 + 2.11241i
\(676\) −3.03255 13.8614i −0.116637 0.533132i
\(677\) 0.575049 + 2.14611i 0.0221009 + 0.0824818i 0.976095 0.217342i \(-0.0697387\pi\)
−0.953995 + 0.299824i \(0.903072\pi\)
\(678\) 39.4039 + 10.7307i 1.51330 + 0.412111i
\(679\) −7.33966 12.7127i −0.281670 0.487867i
\(680\) −32.3052 + 1.98198i −1.23885 + 0.0760053i
\(681\) 0.137406 1.22423i 0.00526543 0.0469126i
\(682\) 1.83438 0.710413i 0.0702420 0.0272031i
\(683\) 0.857818 + 0.857818i 0.0328235 + 0.0328235i 0.723328 0.690505i \(-0.242611\pi\)
−0.690505 + 0.723328i \(0.742611\pi\)
\(684\) 12.0918 11.8961i 0.462342 0.454857i
\(685\) 2.21214 2.21214i 0.0845216 0.0845216i
\(686\) 20.4599 + 9.03659i 0.781163 + 0.345019i
\(687\) 7.88099 10.6879i 0.300679 0.407771i
\(688\) 19.3688 3.30418i 0.738429 0.125971i
\(689\) 15.4163 8.90063i 0.587316 0.339087i
\(690\) 19.9869 + 11.6484i 0.760889 + 0.443448i
\(691\) −37.8791 + 10.1497i −1.44099 + 0.386112i −0.892880 0.450295i \(-0.851319\pi\)
−0.548109 + 0.836407i \(0.684652\pi\)
\(692\) 6.74366 + 4.32262i 0.256355 + 0.164321i
\(693\) −20.4383 + 12.8667i −0.776386 + 0.488764i
\(694\) 21.1350 26.2588i 0.802275 0.996769i
\(695\) 72.6201 + 41.9272i 2.75464 + 1.59039i
\(696\) 9.00146 + 41.9639i 0.341199 + 1.59064i
\(697\) 3.74334 2.16122i 0.141789 0.0818619i
\(698\) −5.82363 + 37.4897i −0.220428 + 1.41900i
\(699\) 2.20804 + 0.865499i 0.0835156 + 0.0327362i
\(700\) 59.2235 + 18.8545i 2.23844 + 0.712632i
\(701\) −14.3403 14.3403i −0.541627 0.541627i 0.382379 0.924006i \(-0.375105\pi\)
−0.924006 + 0.382379i \(0.875105\pi\)
\(702\) 4.02975 17.3969i 0.152093 0.656602i
\(703\) 5.45369i 0.205690i
\(704\) 13.5062 17.3006i 0.509035 0.652041i
\(705\) 40.8374 17.8380i 1.53802 0.671817i
\(706\) 5.34001 + 7.30415i 0.200974 + 0.274895i
\(707\) −30.9838 8.30208i −1.16527 0.312232i
\(708\) 8.84989 0.920246i 0.332599 0.0345850i
\(709\) −4.26177 + 1.14194i −0.160054 + 0.0428864i −0.337956 0.941162i \(-0.609736\pi\)
0.177902 + 0.984048i \(0.443069\pi\)
\(710\) −16.2947 + 20.2450i −0.611529 + 0.759781i
\(711\) −3.69896 11.9554i −0.138722 0.448361i
\(712\) 6.58511 + 19.6685i 0.246787 + 0.737109i
\(713\) 0.606335 1.05020i 0.0227074 0.0393304i
\(714\) −5.30908 20.1421i −0.198687 0.753799i
\(715\) −25.4279 6.81339i −0.950951 0.254806i
\(716\) 28.4305 + 1.32059i 1.06250 + 0.0493530i
\(717\) −0.400557 2.64982i −0.0149591 0.0989593i
\(718\) −9.84832 + 22.2978i −0.367536 + 0.832146i
\(719\) −49.2509 −1.83675 −0.918374 0.395714i \(-0.870497\pi\)
−0.918374 + 0.395714i \(0.870497\pi\)
\(720\) 42.2653 21.4174i 1.57513 0.798178i
\(721\) −1.88938 −0.0703644
\(722\) 6.28939 14.2399i 0.234067 0.529956i
\(723\) 10.3873 8.29086i 0.386307 0.308340i
\(724\) −1.97312 + 42.4784i −0.0733304 + 1.57870i
\(725\) 89.6203 + 24.0137i 3.32841 + 0.891846i
\(726\) −8.20811 2.23529i −0.304631 0.0829593i
\(727\) −2.18154 + 3.77855i −0.0809090 + 0.140139i −0.903641 0.428291i \(-0.859116\pi\)
0.822732 + 0.568430i \(0.192449\pi\)
\(728\) −18.0511 8.99570i −0.669018 0.333403i
\(729\) −16.7799 + 21.1527i −0.621478 + 0.783432i
\(730\) −17.2224 + 21.3976i −0.637431 + 0.791962i
\(731\) −13.7508 + 3.68451i −0.508591 + 0.136277i
\(732\) −32.4732 + 23.5382i −1.20024 + 0.869998i
\(733\) 30.7314 + 8.23445i 1.13509 + 0.304146i 0.776975 0.629532i \(-0.216753\pi\)
0.358114 + 0.933678i \(0.383420\pi\)
\(734\) −1.21788 1.66583i −0.0449527 0.0614871i
\(735\) −1.22818 + 10.9426i −0.0453023 + 0.403623i
\(736\) −0.201029 13.5289i −0.00741003 0.498681i
\(737\) 26.8722i 0.989849i
\(738\) −3.77615 + 5.07759i −0.139002 + 0.186909i
\(739\) −32.4463 32.4463i −1.19356 1.19356i −0.976061 0.217495i \(-0.930211\pi\)
−0.217495 0.976061i \(-0.569789\pi\)
\(740\) 4.62137 14.5161i 0.169885 0.533622i
\(741\) 1.77855 + 11.7657i 0.0653366 + 0.432224i
\(742\) −4.66606 + 30.0378i −0.171297 + 1.10272i
\(743\) −10.8406 + 6.25880i −0.397702 + 0.229613i −0.685492 0.728080i \(-0.740413\pi\)
0.287790 + 0.957693i \(0.407079\pi\)
\(744\) −1.13174 2.21096i −0.0414915 0.0810578i
\(745\) 40.0141 + 23.1021i 1.46600 + 0.846397i
\(746\) −7.13463 + 8.86426i −0.261217 + 0.324544i
\(747\) 18.2451 34.5932i 0.667554 1.26570i
\(748\) −8.58145 + 13.3878i −0.313769 + 0.489507i
\(749\) 14.9973 4.01852i 0.547990 0.146834i
\(750\) 0.220608 54.0716i 0.00805548 1.97442i
\(751\) −34.0479 + 19.6575i −1.24242 + 0.717314i −0.969587 0.244747i \(-0.921295\pi\)
−0.272837 + 0.962060i \(0.587962\pi\)
\(752\) −21.2670 15.0684i −0.775526 0.549488i
\(753\) −5.35969 12.2702i −0.195318 0.447151i
\(754\) −27.5410 12.1641i −1.00298 0.442990i
\(755\) 23.6777 23.6777i 0.861718 0.861718i
\(756\) 18.8278 + 23.9875i 0.684762 + 0.872417i
\(757\) −25.3026 25.3026i −0.919640 0.919640i 0.0773631 0.997003i \(-0.475350\pi\)
−0.997003 + 0.0773631i \(0.975350\pi\)
\(758\) −30.7259 + 11.8995i −1.11602 + 0.432208i
\(759\) 10.4157 4.54963i 0.378065 0.165141i
\(760\) −20.9165 + 23.6508i −0.758722 + 0.857905i
\(761\) 11.0907 + 19.2097i 0.402039 + 0.696352i 0.993972 0.109635i \(-0.0349683\pi\)
−0.591933 + 0.805987i \(0.701635\pi\)
\(762\) 31.2995 31.0451i 1.13386 1.12465i
\(763\) −6.45338 24.0843i −0.233628 0.871911i
\(764\) −42.5955 + 9.31888i −1.54105 + 0.337145i
\(765\) −29.0518 + 18.2892i −1.05037 + 0.661247i
\(766\) −1.57979 14.6129i −0.0570803 0.527985i
\(767\) −3.12087 + 5.40551i −0.112688 + 0.195182i
\(768\) −23.4910 14.7027i −0.847660 0.530540i
\(769\) 0.792978 + 1.37348i 0.0285955 + 0.0495289i 0.879969 0.475031i \(-0.157563\pi\)
−0.851374 + 0.524560i \(0.824230\pi\)
\(770\) 36.2894 26.5309i 1.30778 0.956107i
\(771\) −40.7210 + 6.15555i −1.46653 + 0.221687i
\(772\) 2.84822 8.94650i 0.102510 0.321991i
\(773\) −0.198602 + 0.198602i −0.00714323 + 0.00714323i