Properties

Label 462.2.bc.b.107.11
Level $462$
Weight $2$
Character 462.107
Analytic conductor $3.689$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 462.bc (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.68908857338\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 107.11
Character \(\chi\) \(=\) 462.107
Dual form 462.2.bc.b.95.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.104528 - 0.994522i) q^{2} +(0.752814 + 1.55989i) q^{3} +(-0.978148 + 0.207912i) q^{4} +(-0.112013 - 0.251585i) q^{5} +(1.47266 - 0.911743i) q^{6} +(-2.57741 + 0.597448i) q^{7} +(0.309017 + 0.951057i) q^{8} +(-1.86654 + 2.34862i) q^{9} +O(q^{10})\) \(q+(-0.104528 - 0.994522i) q^{2} +(0.752814 + 1.55989i) q^{3} +(-0.978148 + 0.207912i) q^{4} +(-0.112013 - 0.251585i) q^{5} +(1.47266 - 0.911743i) q^{6} +(-2.57741 + 0.597448i) q^{7} +(0.309017 + 0.951057i) q^{8} +(-1.86654 + 2.34862i) q^{9} +(-0.238498 + 0.137697i) q^{10} +(-0.877660 + 3.19839i) q^{11} +(-1.06068 - 1.36929i) q^{12} +(0.376661 + 0.518429i) q^{13} +(0.863588 + 2.50084i) q^{14} +(0.308121 - 0.364124i) q^{15} +(0.913545 - 0.406737i) q^{16} +(-0.638932 + 6.07903i) q^{17} +(2.53086 + 1.61082i) q^{18} +(0.228950 - 1.07712i) q^{19} +(0.161872 + 0.222798i) q^{20} +(-2.87227 - 3.57073i) q^{21} +(3.27261 + 0.538529i) q^{22} +(-1.05359 - 0.608290i) q^{23} +(-1.25092 + 1.19800i) q^{24} +(3.29491 - 3.65936i) q^{25} +(0.476217 - 0.428788i) q^{26} +(-5.06876 - 1.14353i) q^{27} +(2.39687 - 1.12027i) q^{28} +(-2.73094 + 8.40497i) q^{29} +(-0.394337 - 0.268371i) q^{30} +(-4.57176 - 2.03548i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(-5.64987 + 1.03874i) q^{33} +6.11252 q^{34} +(0.439011 + 0.581515i) q^{35} +(1.33745 - 2.68537i) q^{36} +(4.83899 + 5.37424i) q^{37} +(-1.09515 - 0.115105i) q^{38} +(-0.525139 + 0.977832i) q^{39} +(0.204657 - 0.184274i) q^{40} +(0.939549 + 2.89164i) q^{41} +(-3.25093 + 3.22978i) q^{42} -1.12509i q^{43} +(0.193498 - 3.31098i) q^{44} +(0.799953 + 0.206518i) q^{45} +(-0.494828 + 1.11140i) q^{46} +(0.496136 - 2.33414i) q^{47} +(1.32220 + 1.11884i) q^{48} +(6.28611 - 3.07974i) q^{49} +(-3.98373 - 2.89435i) q^{50} +(-9.96364 + 3.57971i) q^{51} +(-0.476217 - 0.428788i) q^{52} +(3.33385 - 7.48795i) q^{53} +(-0.607440 + 5.16052i) q^{54} +(0.902975 - 0.137455i) q^{55} +(-1.36467 - 2.26664i) q^{56} +(1.85256 - 0.453736i) q^{57} +(8.64439 + 1.83742i) q^{58} +(1.83954 + 8.65435i) q^{59} +(-0.225682 + 0.420229i) q^{60} +(-1.80155 - 4.04635i) q^{61} +(-1.54645 + 4.75948i) q^{62} +(3.40767 - 7.16853i) q^{63} +(-0.809017 + 0.587785i) q^{64} +(0.0882380 - 0.152833i) q^{65} +(1.62362 + 5.51034i) q^{66} +(-5.31001 - 9.19720i) q^{67} +(-0.638932 - 6.07903i) q^{68} +(0.155712 - 2.10142i) q^{69} +(0.532441 - 0.497391i) q^{70} +(6.62602 - 9.11993i) q^{71} +(-2.81046 - 1.04942i) q^{72} +(2.37065 + 11.1530i) q^{73} +(4.83899 - 5.37424i) q^{74} +(8.18867 + 2.38489i) q^{75} +1.10119i q^{76} +(0.351220 - 8.76793i) q^{77} +(1.02737 + 0.420051i) q^{78} +(12.3514 - 1.29819i) q^{79} +(-0.204657 - 0.184274i) q^{80} +(-2.03204 - 8.76760i) q^{81} +(2.77758 - 1.23666i) q^{82} +(3.41598 + 2.48186i) q^{83} +(3.55190 + 2.89552i) q^{84} +(1.60096 - 0.520183i) q^{85} +(-1.11893 + 0.117604i) q^{86} +(-15.1668 + 2.06740i) q^{87} +(-3.31306 + 0.153653i) q^{88} +(15.7235 + 9.07797i) q^{89} +(0.121769 - 0.817158i) q^{90} +(-1.28054 - 1.11117i) q^{91} +(1.15704 + 0.375944i) q^{92} +(-0.266553 - 8.66380i) q^{93} +(-2.37321 - 0.249434i) q^{94} +(-0.296633 + 0.0630513i) q^{95} +(0.974501 - 1.43190i) q^{96} +(-8.14146 + 5.91512i) q^{97} +(-3.71994 - 5.92976i) q^{98} +(-5.87362 - 8.03122i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9} + O(q^{10}) \) \( 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9} - 6 q^{11} - 12 q^{15} + 16 q^{16} - 2 q^{17} - 4 q^{18} + 2 q^{22} - 12 q^{25} - 18 q^{27} - 5 q^{28} + 38 q^{29} + 6 q^{30} - 3 q^{31} - 64 q^{32} + 28 q^{33} - 16 q^{34} - 31 q^{35} + 8 q^{36} + 2 q^{37} - 2 q^{39} + 5 q^{40} + 16 q^{41} - 13 q^{42} - q^{44} + 28 q^{45} + 38 q^{49} + 34 q^{50} + 4 q^{51} + 25 q^{53} - 6 q^{54} - 42 q^{55} - 100 q^{57} - 19 q^{58} + 40 q^{59} - 4 q^{60} + 40 q^{61} - 4 q^{62} - 106 q^{63} - 32 q^{64} + 20 q^{65} - 7 q^{66} + 16 q^{67} - 2 q^{68} - 68 q^{69} - 21 q^{70} + 80 q^{71} - 4 q^{72} + 10 q^{73} + 2 q^{74} - 14 q^{75} + q^{77} - 16 q^{78} - 5 q^{80} + 32 q^{81} - 8 q^{82} - 92 q^{83} + 8 q^{84} - 100 q^{85} - 40 q^{86} - 38 q^{87} - q^{88} + 4 q^{90} + 12 q^{91} - 20 q^{92} - 33 q^{93} + 40 q^{94} + 38 q^{95} - 16 q^{97} + 18 q^{98} + 2 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{3}{10}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.104528 0.994522i −0.0739128 0.703233i
\(3\) 0.752814 + 1.55989i 0.434637 + 0.900606i
\(4\) −0.978148 + 0.207912i −0.489074 + 0.103956i
\(5\) −0.112013 0.251585i −0.0500936 0.112512i 0.886765 0.462221i \(-0.152947\pi\)
−0.936858 + 0.349709i \(0.886281\pi\)
\(6\) 1.47266 0.911743i 0.601210 0.372218i
\(7\) −2.57741 + 0.597448i −0.974170 + 0.225814i
\(8\) 0.309017 + 0.951057i 0.109254 + 0.336249i
\(9\) −1.86654 + 2.34862i −0.622181 + 0.782874i
\(10\) −0.238498 + 0.137697i −0.0754196 + 0.0435435i
\(11\) −0.877660 + 3.19839i −0.264624 + 0.964352i
\(12\) −1.06068 1.36929i −0.306193 0.395279i
\(13\) 0.376661 + 0.518429i 0.104467 + 0.143786i 0.858050 0.513567i \(-0.171676\pi\)
−0.753583 + 0.657353i \(0.771676\pi\)
\(14\) 0.863588 + 2.50084i 0.230804 + 0.668378i
\(15\) 0.308121 0.364124i 0.0795564 0.0940165i
\(16\) 0.913545 0.406737i 0.228386 0.101684i
\(17\) −0.638932 + 6.07903i −0.154964 + 1.47438i 0.590069 + 0.807353i \(0.299101\pi\)
−0.745032 + 0.667028i \(0.767566\pi\)
\(18\) 2.53086 + 1.61082i 0.596530 + 0.379674i
\(19\) 0.228950 1.07712i 0.0525247 0.247109i −0.944051 0.329801i \(-0.893018\pi\)
0.996575 + 0.0826918i \(0.0263517\pi\)
\(20\) 0.161872 + 0.222798i 0.0361957 + 0.0498192i
\(21\) −2.87227 3.57073i −0.626780 0.779196i
\(22\) 3.27261 + 0.538529i 0.697723 + 0.114815i
\(23\) −1.05359 0.608290i −0.219689 0.126837i 0.386117 0.922450i \(-0.373816\pi\)
−0.605806 + 0.795612i \(0.707149\pi\)
\(24\) −1.25092 + 1.19800i −0.255342 + 0.244541i
\(25\) 3.29491 3.65936i 0.658981 0.731873i
\(26\) 0.476217 0.428788i 0.0933939 0.0840922i
\(27\) −5.06876 1.14353i −0.975483 0.220073i
\(28\) 2.39687 1.12027i 0.452967 0.211710i
\(29\) −2.73094 + 8.40497i −0.507123 + 1.56076i 0.290049 + 0.957012i \(0.406328\pi\)
−0.797172 + 0.603752i \(0.793672\pi\)
\(30\) −0.394337 0.268371i −0.0719957 0.0489977i
\(31\) −4.57176 2.03548i −0.821113 0.365583i −0.0472080 0.998885i \(-0.515032\pi\)
−0.773905 + 0.633302i \(0.781699\pi\)
\(32\) −0.500000 0.866025i −0.0883883 0.153093i
\(33\) −5.64987 + 1.03874i −0.983516 + 0.180821i
\(34\) 6.11252 1.04829
\(35\) 0.439011 + 0.581515i 0.0742065 + 0.0982940i
\(36\) 1.33745 2.68537i 0.222908 0.447562i
\(37\) 4.83899 + 5.37424i 0.795524 + 0.883519i 0.995351 0.0963120i \(-0.0307047\pi\)
−0.199827 + 0.979831i \(0.564038\pi\)
\(38\) −1.09515 0.115105i −0.177658 0.0186726i
\(39\) −0.525139 + 0.977832i −0.0840896 + 0.156578i
\(40\) 0.204657 0.184274i 0.0323592 0.0291363i
\(41\) 0.939549 + 2.89164i 0.146733 + 0.451598i 0.997230 0.0743826i \(-0.0236986\pi\)
−0.850497 + 0.525980i \(0.823699\pi\)
\(42\) −3.25093 + 3.22978i −0.501629 + 0.498365i
\(43\) 1.12509i 0.171575i −0.996313 0.0857877i \(-0.972659\pi\)
0.996313 0.0857877i \(-0.0273407\pi\)
\(44\) 0.193498 3.31098i 0.0291709 0.499148i
\(45\) 0.799953 + 0.206518i 0.119250 + 0.0307859i
\(46\) −0.494828 + 1.11140i −0.0729584 + 0.163867i
\(47\) 0.496136 2.33414i 0.0723689 0.340469i −0.927036 0.374973i \(-0.877652\pi\)
0.999405 + 0.0345044i \(0.0109853\pi\)
\(48\) 1.32220 + 1.11884i 0.190843 + 0.161490i
\(49\) 6.28611 3.07974i 0.898016 0.439963i
\(50\) −3.98373 2.89435i −0.563384 0.409323i
\(51\) −9.96364 + 3.57971i −1.39519 + 0.501260i
\(52\) −0.476217 0.428788i −0.0660395 0.0594622i
\(53\) 3.33385 7.48795i 0.457940 1.02855i −0.526071 0.850441i \(-0.676335\pi\)
0.984011 0.178109i \(-0.0569979\pi\)
\(54\) −0.607440 + 5.16052i −0.0826622 + 0.702258i
\(55\) 0.902975 0.137455i 0.121757 0.0185344i
\(56\) −1.36467 2.26664i −0.182362 0.302893i
\(57\) 1.85256 0.453736i 0.245377 0.0600988i
\(58\) 8.64439 + 1.83742i 1.13506 + 0.241265i
\(59\) 1.83954 + 8.65435i 0.239487 + 1.12670i 0.919375 + 0.393383i \(0.128695\pi\)
−0.679887 + 0.733317i \(0.737971\pi\)
\(60\) −0.225682 + 0.420229i −0.0291354 + 0.0542513i
\(61\) −1.80155 4.04635i −0.230665 0.518082i 0.760717 0.649084i \(-0.224847\pi\)
−0.991382 + 0.131001i \(0.958181\pi\)
\(62\) −1.54645 + 4.75948i −0.196399 + 0.604455i
\(63\) 3.40767 7.16853i 0.429326 0.903149i
\(64\) −0.809017 + 0.587785i −0.101127 + 0.0734732i
\(65\) 0.0882380 0.152833i 0.0109446 0.0189566i
\(66\) 1.62362 + 5.51034i 0.199854 + 0.678276i
\(67\) −5.31001 9.19720i −0.648721 1.12362i −0.983429 0.181295i \(-0.941971\pi\)
0.334708 0.942322i \(-0.391362\pi\)
\(68\) −0.638932 6.07903i −0.0774819 0.737191i
\(69\) 0.155712 2.10142i 0.0187455 0.252981i
\(70\) 0.532441 0.497391i 0.0636388 0.0594496i
\(71\) 6.62602 9.11993i 0.786363 1.08234i −0.208188 0.978089i \(-0.566757\pi\)
0.994551 0.104248i \(-0.0332434\pi\)
\(72\) −2.81046 1.04942i −0.331216 0.123676i
\(73\) 2.37065 + 11.1530i 0.277464 + 1.30536i 0.867277 + 0.497825i \(0.165868\pi\)
−0.589813 + 0.807540i \(0.700799\pi\)
\(74\) 4.83899 5.37424i 0.562521 0.624742i
\(75\) 8.18867 + 2.38489i 0.945546 + 0.275383i
\(76\) 1.10119i 0.126315i
\(77\) 0.351220 8.76793i 0.0400252 0.999199i
\(78\) 1.02737 + 0.420051i 0.116326 + 0.0475614i
\(79\) 12.3514 1.29819i 1.38964 0.146057i 0.620035 0.784574i \(-0.287118\pi\)
0.769608 + 0.638517i \(0.220452\pi\)
\(80\) −0.204657 0.184274i −0.0228814 0.0206025i
\(81\) −2.03204 8.76760i −0.225782 0.974178i
\(82\) 2.77758 1.23666i 0.306733 0.136566i
\(83\) 3.41598 + 2.48186i 0.374953 + 0.272419i 0.759262 0.650785i \(-0.225560\pi\)
−0.384309 + 0.923205i \(0.625560\pi\)
\(84\) 3.55190 + 2.89552i 0.387544 + 0.315927i
\(85\) 1.60096 0.520183i 0.173648 0.0564218i
\(86\) −1.11893 + 0.117604i −0.120657 + 0.0126816i
\(87\) −15.1668 + 2.06740i −1.62605 + 0.221649i
\(88\) −3.31306 + 0.153653i −0.353174 + 0.0163795i
\(89\) 15.7235 + 9.07797i 1.66669 + 0.962263i 0.969405 + 0.245468i \(0.0789418\pi\)
0.697284 + 0.716795i \(0.254392\pi\)
\(90\) 0.121769 0.817158i 0.0128355 0.0861360i
\(91\) −1.28054 1.11117i −0.134238 0.116482i
\(92\) 1.15704 + 0.375944i 0.120629 + 0.0391949i
\(93\) −0.266553 8.66380i −0.0276402 0.898395i
\(94\) −2.37321 0.249434i −0.244778 0.0257272i
\(95\) −0.296633 + 0.0630513i −0.0304339 + 0.00646892i
\(96\) 0.974501 1.43190i 0.0994596 0.146143i
\(97\) −8.14146 + 5.91512i −0.826640 + 0.600589i −0.918607 0.395173i \(-0.870685\pi\)
0.0919669 + 0.995762i \(0.470685\pi\)
\(98\) −3.71994 5.92976i −0.375771 0.598996i
\(99\) −5.87362 8.03122i −0.590321 0.807168i
\(100\) −2.46208 + 4.26445i −0.246208 + 0.426445i
\(101\) −4.80806 2.14068i −0.478419 0.213006i 0.153336 0.988174i \(-0.450998\pi\)
−0.631755 + 0.775168i \(0.717665\pi\)
\(102\) 4.60159 + 9.53488i 0.455625 + 0.944094i
\(103\) −8.86266 9.84298i −0.873264 0.969857i 0.126492 0.991968i \(-0.459628\pi\)
−0.999756 + 0.0221102i \(0.992962\pi\)
\(104\) −0.376661 + 0.518429i −0.0369346 + 0.0508362i
\(105\) −0.576609 + 1.12258i −0.0562713 + 0.109553i
\(106\) −7.79542 2.53288i −0.757158 0.246015i
\(107\) −6.65818 1.41524i −0.643670 0.136816i −0.125500 0.992094i \(-0.540053\pi\)
−0.518171 + 0.855277i \(0.673387\pi\)
\(108\) 5.19575 + 0.0646911i 0.499961 + 0.00622491i
\(109\) 4.10671 2.37101i 0.393352 0.227102i −0.290260 0.956948i \(-0.593742\pi\)
0.683611 + 0.729846i \(0.260408\pi\)
\(110\) −0.231088 0.883660i −0.0220334 0.0842537i
\(111\) −4.74039 + 11.5941i −0.449938 + 1.10046i
\(112\) −2.11158 + 1.59412i −0.199526 + 0.150631i
\(113\) 1.41966 0.461276i 0.133550 0.0433932i −0.241479 0.970406i \(-0.577633\pi\)
0.375030 + 0.927013i \(0.377633\pi\)
\(114\) −0.644896 1.79498i −0.0604000 0.168115i
\(115\) −0.0350211 + 0.333203i −0.00326573 + 0.0310713i
\(116\) 0.923771 8.78910i 0.0857700 0.816047i
\(117\) −1.92065 0.0830364i −0.177564 0.00767672i
\(118\) 8.41465 2.73409i 0.774632 0.251693i
\(119\) −1.98511 16.0499i −0.181975 1.47129i
\(120\) 0.441517 + 0.180520i 0.0403048 + 0.0164791i
\(121\) −9.45943 5.61420i −0.859948 0.510382i
\(122\) −3.83587 + 2.21464i −0.347284 + 0.200504i
\(123\) −3.80334 + 3.64246i −0.342936 + 0.328430i
\(124\) 4.89506 + 1.04048i 0.439589 + 0.0934376i
\(125\) −2.59928 0.844559i −0.232487 0.0755396i
\(126\) −7.48546 2.63969i −0.666857 0.235162i
\(127\) 0.0509999 0.0701953i 0.00452551 0.00622883i −0.806748 0.590895i \(-0.798775\pi\)
0.811274 + 0.584666i \(0.198775\pi\)
\(128\) 0.669131 + 0.743145i 0.0591433 + 0.0656853i
\(129\) 1.75503 0.846987i 0.154522 0.0745730i
\(130\) −0.161219 0.0717792i −0.0141398 0.00629545i
\(131\) −5.90912 + 10.2349i −0.516282 + 0.894227i 0.483539 + 0.875323i \(0.339351\pi\)
−0.999821 + 0.0189040i \(0.993982\pi\)
\(132\) 5.31044 2.19071i 0.462215 0.190677i
\(133\) 0.0534271 + 2.91298i 0.00463272 + 0.252587i
\(134\) −8.59177 + 6.24229i −0.742216 + 0.539251i
\(135\) 0.280070 + 1.40331i 0.0241046 + 0.120778i
\(136\) −5.97894 + 1.27086i −0.512690 + 0.108976i
\(137\) 8.55726 + 0.899404i 0.731096 + 0.0768413i 0.462759 0.886484i \(-0.346859\pi\)
0.268337 + 0.963325i \(0.413526\pi\)
\(138\) −2.10618 + 0.0647993i −0.179290 + 0.00551609i
\(139\) 8.90966 + 2.89492i 0.755707 + 0.245544i 0.661435 0.750002i \(-0.269948\pi\)
0.0942720 + 0.995546i \(0.469948\pi\)
\(140\) −0.550322 0.477532i −0.0465107 0.0403588i
\(141\) 4.01450 0.983250i 0.338082 0.0828046i
\(142\) −9.76258 5.63643i −0.819257 0.472998i
\(143\) −1.98872 + 0.749704i −0.166305 + 0.0626934i
\(144\) −0.749901 + 2.90476i −0.0624918 + 0.242064i
\(145\) 2.42046 0.254401i 0.201008 0.0211268i
\(146\) 10.8441 3.52348i 0.897468 0.291605i
\(147\) 9.53634 + 7.48720i 0.786544 + 0.617534i
\(148\) −5.85061 4.25072i −0.480917 0.349407i
\(149\) −13.0189 + 5.79639i −1.06655 + 0.474859i −0.863521 0.504313i \(-0.831746\pi\)
−0.203030 + 0.979172i \(0.565079\pi\)
\(150\) 1.51587 8.39310i 0.123770 0.685294i
\(151\) −7.77891 7.00416i −0.633039 0.569991i 0.288884 0.957364i \(-0.406716\pi\)
−0.921923 + 0.387373i \(0.873382\pi\)
\(152\) 1.09515 0.115105i 0.0888288 0.00933628i
\(153\) −13.0847 12.8474i −1.05784 1.03865i
\(154\) −8.75661 + 0.567203i −0.705628 + 0.0457065i
\(155\) 1.37818i 0.110698i
\(156\) 0.310361 1.06565i 0.0248488 0.0853200i
\(157\) 10.0844 11.1999i 0.804826 0.893850i −0.191323 0.981527i \(-0.561278\pi\)
0.996149 + 0.0876774i \(0.0279445\pi\)
\(158\) −2.58215 12.1481i −0.205425 0.966448i
\(159\) 14.1902 0.436579i 1.12536 0.0346230i
\(160\) −0.161872 + 0.222798i −0.0127971 + 0.0176137i
\(161\) 3.07896 + 0.938351i 0.242656 + 0.0739524i
\(162\) −8.50716 + 2.93737i −0.668386 + 0.230782i
\(163\) 2.21897 + 21.1121i 0.173803 + 1.65362i 0.639582 + 0.768723i \(0.279108\pi\)
−0.465779 + 0.884901i \(0.654226\pi\)
\(164\) −1.52022 2.63310i −0.118709 0.205611i
\(165\) 0.894187 + 1.30507i 0.0696124 + 0.101599i
\(166\) 2.11119 3.65669i 0.163860 0.283815i
\(167\) 3.23429 2.34985i 0.250277 0.181837i −0.455573 0.890199i \(-0.650566\pi\)
0.705849 + 0.708362i \(0.250566\pi\)
\(168\) 2.50838 3.83510i 0.193526 0.295885i
\(169\) 3.89033 11.9732i 0.299256 0.921015i
\(170\) −0.684679 1.53781i −0.0525125 0.117945i
\(171\) 2.10241 + 2.54821i 0.160775 + 0.194867i
\(172\) 0.233920 + 1.10051i 0.0178363 + 0.0839130i
\(173\) 0.739743 + 0.157237i 0.0562417 + 0.0119545i 0.235947 0.971766i \(-0.424181\pi\)
−0.179705 + 0.983721i \(0.557514\pi\)
\(174\) 3.64143 + 14.8676i 0.276056 + 1.12711i
\(175\) −6.30605 + 11.4002i −0.476693 + 0.861776i
\(176\) 0.499121 + 3.27885i 0.0376227 + 0.247153i
\(177\) −12.1150 + 9.38460i −0.910622 + 0.705390i
\(178\) 7.38469 16.5863i 0.553506 1.24319i
\(179\) −1.35024 1.21576i −0.100922 0.0908704i 0.617125 0.786865i \(-0.288297\pi\)
−0.718047 + 0.695994i \(0.754964\pi\)
\(180\) −0.825410 0.0356854i −0.0615224 0.00265983i
\(181\) 16.7786 + 12.1904i 1.24714 + 0.906102i 0.998053 0.0623784i \(-0.0198686\pi\)
0.249090 + 0.968480i \(0.419869\pi\)
\(182\) −0.971230 + 1.38968i −0.0719924 + 0.103010i
\(183\) 4.95565 5.85638i 0.366332 0.432916i
\(184\) 0.252941 1.19000i 0.0186471 0.0877276i
\(185\) 0.810047 1.81940i 0.0595559 0.133765i
\(186\) −8.58848 + 1.17071i −0.629738 + 0.0858404i
\(187\) −18.8824 7.37888i −1.38081 0.539597i
\(188\) 2.38628i 0.174037i
\(189\) 13.7475 0.0809583i 0.999983 0.00588885i
\(190\) 0.0937124 + 0.288417i 0.00679862 + 0.0209240i
\(191\) −8.53554 + 7.68543i −0.617610 + 0.556098i −0.917430 0.397897i \(-0.869740\pi\)
0.299820 + 0.953996i \(0.403073\pi\)
\(192\) −1.52592 0.819488i −0.110124 0.0591415i
\(193\) 4.33302 + 0.455419i 0.311898 + 0.0327818i 0.259184 0.965828i \(-0.416546\pi\)
0.0527134 + 0.998610i \(0.483213\pi\)
\(194\) 6.73373 + 7.47856i 0.483453 + 0.536929i
\(195\) 0.304830 + 0.0225874i 0.0218293 + 0.00161752i
\(196\) −5.50843 + 4.31940i −0.393459 + 0.308528i
\(197\) 16.6705 1.18773 0.593863 0.804566i \(-0.297602\pi\)
0.593863 + 0.804566i \(0.297602\pi\)
\(198\) −7.37327 + 6.68094i −0.523995 + 0.474794i
\(199\) 2.72284 + 4.71610i 0.193017 + 0.334315i 0.946249 0.323440i \(-0.104839\pi\)
−0.753232 + 0.657755i \(0.771506\pi\)
\(200\) 4.49844 + 2.00284i 0.318088 + 0.141622i
\(201\) 10.3492 15.2068i 0.729977 1.07261i
\(202\) −1.62638 + 5.00548i −0.114432 + 0.352184i
\(203\) 2.01723 23.2947i 0.141582 1.63497i
\(204\) 9.00165 5.57305i 0.630242 0.390191i
\(205\) 0.622249 0.560276i 0.0434598 0.0391314i
\(206\) −8.86266 + 9.84298i −0.617491 + 0.685793i
\(207\) 3.39521 1.33908i 0.235984 0.0930727i
\(208\) 0.554961 + 0.320407i 0.0384796 + 0.0222162i
\(209\) 3.24412 + 1.67762i 0.224401 + 0.116043i
\(210\) 1.17671 + 0.456108i 0.0812005 + 0.0314744i
\(211\) 12.1580 + 16.7340i 0.836989 + 1.15202i 0.986582 + 0.163269i \(0.0522037\pi\)
−0.149593 + 0.988748i \(0.547796\pi\)
\(212\) −1.70417 + 8.01747i −0.117043 + 0.550642i
\(213\) 19.2143 + 3.47028i 1.31654 + 0.237779i
\(214\) −0.711518 + 6.76964i −0.0486383 + 0.462763i
\(215\) −0.283056 + 0.126025i −0.0193043 + 0.00859482i
\(216\) −0.478767 5.17405i −0.0325760 0.352049i
\(217\) 12.9994 + 2.51488i 0.882457 + 0.170721i
\(218\) −2.78729 3.83638i −0.188779 0.259832i
\(219\) −15.6129 + 12.0941i −1.05502 + 0.817246i
\(220\) −0.854664 + 0.322190i −0.0576215 + 0.0217220i
\(221\) −3.39221 + 1.95849i −0.228185 + 0.131742i
\(222\) 12.0261 + 3.50251i 0.807139 + 0.235073i
\(223\) 1.74306 + 5.36460i 0.116724 + 0.359240i 0.992303 0.123836i \(-0.0395196\pi\)
−0.875579 + 0.483076i \(0.839520\pi\)
\(224\) 1.80611 + 1.93338i 0.120676 + 0.129179i
\(225\) 2.44438 + 14.5688i 0.162958 + 0.971256i
\(226\) −0.607144 1.36367i −0.0403866 0.0907098i
\(227\) −23.4975 + 4.99455i −1.55958 + 0.331500i −0.905308 0.424755i \(-0.860360\pi\)
−0.654277 + 0.756255i \(0.727027\pi\)
\(228\) −1.71774 + 0.828989i −0.113760 + 0.0549011i
\(229\) 2.70995 + 25.7834i 0.179078 + 1.70382i 0.602692 + 0.797974i \(0.294095\pi\)
−0.423614 + 0.905843i \(0.639239\pi\)
\(230\) 0.335038 0.0220918
\(231\) 13.9415 6.05276i 0.917280 0.398242i
\(232\) −8.83751 −0.580211
\(233\) −1.76179 16.7624i −0.115419 1.09814i −0.886924 0.461915i \(-0.847162\pi\)
0.771505 0.636223i \(-0.219504\pi\)
\(234\) 0.118181 + 1.91880i 0.00772571 + 0.125436i
\(235\) −0.642806 + 0.136633i −0.0419320 + 0.00891293i
\(236\) −3.59868 8.08277i −0.234254 0.526143i
\(237\) 11.3234 + 18.2896i 0.735531 + 1.18804i
\(238\) −15.7545 + 3.65191i −1.02121 + 0.236718i
\(239\) 4.22887 + 13.0151i 0.273543 + 0.841877i 0.989601 + 0.143837i \(0.0459442\pi\)
−0.716059 + 0.698040i \(0.754056\pi\)
\(240\) 0.133380 0.457968i 0.00860961 0.0295617i
\(241\) 2.75040 1.58794i 0.177169 0.102288i −0.408793 0.912627i \(-0.634050\pi\)
0.585962 + 0.810339i \(0.300717\pi\)
\(242\) −4.59467 + 9.99445i −0.295356 + 0.642468i
\(243\) 12.1468 9.77014i 0.779217 0.626755i
\(244\) 2.60347 + 3.58337i 0.166670 + 0.229401i
\(245\) −1.47894 1.23652i −0.0944859 0.0789983i
\(246\) 4.02006 + 3.40176i 0.256310 + 0.216889i
\(247\) 0.644649 0.287016i 0.0410180 0.0182624i
\(248\) 0.523104 4.97700i 0.0332171 0.316040i
\(249\) −1.29984 + 7.19695i −0.0823737 + 0.456088i
\(250\) −0.568233 + 2.67333i −0.0359382 + 0.169076i
\(251\) 5.83265 + 8.02796i 0.368154 + 0.506720i 0.952398 0.304858i \(-0.0986089\pi\)
−0.584244 + 0.811578i \(0.698609\pi\)
\(252\) −1.84279 + 7.72037i −0.116085 + 0.486338i
\(253\) 2.87024 2.83592i 0.180451 0.178293i
\(254\) −0.0751417 0.0433831i −0.00471481 0.00272210i
\(255\) 2.01665 + 2.10573i 0.126288 + 0.131866i
\(256\) 0.669131 0.743145i 0.0418207 0.0464466i
\(257\) −15.5229 + 13.9769i −0.968290 + 0.871852i −0.991791 0.127871i \(-0.959186\pi\)
0.0235005 + 0.999724i \(0.492519\pi\)
\(258\) −1.02580 1.65688i −0.0638634 0.103153i
\(259\) −15.6829 10.9606i −0.974487 0.681058i
\(260\) −0.0545341 + 0.167839i −0.00338206 + 0.0104089i
\(261\) −14.6427 22.1022i −0.906359 1.36809i
\(262\) 10.7965 + 4.80691i 0.667010 + 0.296972i
\(263\) 9.65220 + 16.7181i 0.595180 + 1.03088i 0.993521 + 0.113645i \(0.0362526\pi\)
−0.398341 + 0.917237i \(0.630414\pi\)
\(264\) −2.73380 5.05236i −0.168254 0.310951i
\(265\) −2.25729 −0.138664
\(266\) 2.89144 0.357624i 0.177285 0.0219273i
\(267\) −2.32380 + 31.3610i −0.142214 + 1.91926i
\(268\) 7.10618 + 7.89221i 0.434079 + 0.482093i
\(269\) 21.5198 + 2.26183i 1.31209 + 0.137906i 0.734604 0.678496i \(-0.237368\pi\)
0.577484 + 0.816402i \(0.304035\pi\)
\(270\) 1.36635 0.425221i 0.0831534 0.0258781i
\(271\) −17.0856 + 15.3840i −1.03788 + 0.934509i −0.997905 0.0646918i \(-0.979394\pi\)
−0.0399721 + 0.999201i \(0.512727\pi\)
\(272\) 1.88887 + 5.81335i 0.114530 + 0.352486i
\(273\) 0.769297 2.83402i 0.0465600 0.171523i
\(274\) 8.60439i 0.519810i
\(275\) 8.81227 + 13.7501i 0.531400 + 0.829161i
\(276\) 0.284600 + 2.08787i 0.0171309 + 0.125675i
\(277\) 12.5072 28.0916i 0.751484 1.68786i 0.0259608 0.999663i \(-0.491735\pi\)
0.725523 0.688198i \(-0.241598\pi\)
\(278\) 1.94775 9.16345i 0.116818 0.549587i
\(279\) 13.3140 6.93803i 0.797086 0.415369i
\(280\) −0.417392 + 0.597223i −0.0249439 + 0.0356909i
\(281\) −5.30840 3.85678i −0.316673 0.230076i 0.418082 0.908409i \(-0.362703\pi\)
−0.734754 + 0.678333i \(0.762703\pi\)
\(282\) −1.39749 3.88973i −0.0832195 0.231630i
\(283\) 15.1591 + 13.6493i 0.901115 + 0.811368i 0.982682 0.185300i \(-0.0593257\pi\)
−0.0815666 + 0.996668i \(0.525992\pi\)
\(284\) −4.58508 + 10.2983i −0.272075 + 0.611089i
\(285\) −0.321663 0.415250i −0.0190537 0.0245973i
\(286\) 0.953475 + 1.89946i 0.0563802 + 0.112317i
\(287\) −4.14921 6.89161i −0.244920 0.406799i
\(288\) 2.96724 + 0.442163i 0.174846 + 0.0260547i
\(289\) −19.9179 4.23367i −1.17164 0.249040i
\(290\) −0.506014 2.38061i −0.0297142 0.139794i
\(291\) −15.3560 8.24683i −0.900182 0.483438i
\(292\) −4.63770 10.4164i −0.271401 0.609576i
\(293\) −2.75468 + 8.47805i −0.160930 + 0.495293i −0.998713 0.0507105i \(-0.983851\pi\)
0.837783 + 0.546003i \(0.183851\pi\)
\(294\) 6.44937 10.2667i 0.376135 0.598768i
\(295\) 1.97125 1.43220i 0.114770 0.0833856i
\(296\) −3.61587 + 6.26288i −0.210168 + 0.364022i
\(297\) 8.10612 15.2082i 0.470365 0.882472i
\(298\) 7.12549 + 12.3417i 0.412768 + 0.714936i
\(299\) −0.0814905 0.775331i −0.00471272 0.0448385i
\(300\) −8.50557 0.630249i −0.491070 0.0363875i
\(301\) 0.672185 + 2.89983i 0.0387441 + 0.167144i
\(302\) −6.15267 + 8.46843i −0.354047 + 0.487303i
\(303\) −0.280330 9.11160i −0.0161045 0.523448i
\(304\) −0.228950 1.07712i −0.0131312 0.0617773i
\(305\) −0.816203 + 0.906485i −0.0467356 + 0.0519052i
\(306\) −11.4093 + 14.3560i −0.652225 + 0.820677i
\(307\) 18.1321i 1.03485i −0.855728 0.517426i \(-0.826890\pi\)
0.855728 0.517426i \(-0.173110\pi\)
\(308\) 1.47941 + 8.64936i 0.0842973 + 0.492843i
\(309\) 8.68208 21.2347i 0.493906 1.20800i
\(310\) 1.37063 0.144059i 0.0778468 0.00818203i
\(311\) −14.8237 13.3473i −0.840574 0.756856i 0.131554 0.991309i \(-0.458003\pi\)
−0.972127 + 0.234453i \(0.924670\pi\)
\(312\) −1.09225 0.197270i −0.0618365 0.0111682i
\(313\) −22.4597 + 9.99970i −1.26950 + 0.565216i −0.927267 0.374400i \(-0.877849\pi\)
−0.342229 + 0.939616i \(0.611182\pi\)
\(314\) −12.1927 8.85849i −0.688072 0.499913i
\(315\) −2.18519 0.0543518i −0.123122 0.00306238i
\(316\) −11.8116 + 3.83782i −0.664455 + 0.215894i
\(317\) 15.7403 1.65437i 0.884061 0.0929185i 0.348394 0.937348i \(-0.386727\pi\)
0.535667 + 0.844430i \(0.320060\pi\)
\(318\) −1.91747 14.0668i −0.107526 0.788828i
\(319\) −24.4856 16.1113i −1.37093 0.902061i
\(320\) 0.238498 + 0.137697i 0.0133324 + 0.00769748i
\(321\) −2.80475 11.4515i −0.156546 0.639159i
\(322\) 0.611371 3.16017i 0.0340704 0.176110i
\(323\) 6.40158 + 2.08000i 0.356194 + 0.115734i
\(324\) 3.81052 + 8.15352i 0.211696 + 0.452973i
\(325\) 3.13818 + 0.329836i 0.174075 + 0.0182960i
\(326\) 20.7645 4.41362i 1.15004 0.244448i
\(327\) 6.79012 + 4.62111i 0.375495 + 0.255548i
\(328\) −2.45977 + 1.78713i −0.135818 + 0.0986777i
\(329\) 0.115777 + 6.31245i 0.00638299 + 0.348016i
\(330\) 1.20445 1.02571i 0.0663028 0.0564632i
\(331\) 2.50319 4.33564i 0.137588 0.238309i −0.788995 0.614399i \(-0.789399\pi\)
0.926583 + 0.376091i \(0.122732\pi\)
\(332\) −3.85734 1.71740i −0.211699 0.0942545i
\(333\) −21.6542 + 1.33370i −1.18664 + 0.0730863i
\(334\) −2.67505 2.97094i −0.146372 0.162563i
\(335\) −1.71909 + 2.36612i −0.0939237 + 0.129275i
\(336\) −4.07629 2.09376i −0.222380 0.114224i
\(337\) −33.0515 10.7391i −1.80043 0.584996i −0.800534 0.599287i \(-0.795451\pi\)
−0.999898 + 0.0142910i \(0.995451\pi\)
\(338\) −12.3143 2.61747i −0.669807 0.142372i
\(339\) 1.78828 + 1.86727i 0.0971261 + 0.101416i
\(340\) −1.45782 + 0.841674i −0.0790615 + 0.0456462i
\(341\) 10.5227 12.8358i 0.569837 0.695099i
\(342\) 2.31449 2.35725i 0.125153 0.127466i
\(343\) −14.3619 + 11.6934i −0.775471 + 0.631383i
\(344\) 1.07003 0.347673i 0.0576921 0.0187453i
\(345\) −0.546126 + 0.196211i −0.0294024 + 0.0105636i
\(346\) 0.0790517 0.752127i 0.00424985 0.0404346i
\(347\) 0.595247 5.66339i 0.0319545 0.304027i −0.966858 0.255314i \(-0.917821\pi\)
0.998813 0.0487133i \(-0.0155121\pi\)
\(348\) 14.4055 5.17557i 0.772215 0.277440i
\(349\) 1.53551 0.498918i 0.0821941 0.0267065i −0.267631 0.963521i \(-0.586241\pi\)
0.349825 + 0.936815i \(0.386241\pi\)
\(350\) 11.9969 + 5.07986i 0.641263 + 0.271530i
\(351\) −1.31636 3.05852i −0.0702622 0.163252i
\(352\) 3.20872 0.839120i 0.171025 0.0447253i
\(353\) −3.35330 + 1.93603i −0.178478 + 0.103044i −0.586578 0.809893i \(-0.699525\pi\)
0.408099 + 0.912938i \(0.366192\pi\)
\(354\) 10.5996 + 11.0677i 0.563360 + 0.588242i
\(355\) −3.03663 0.645456i −0.161168 0.0342572i
\(356\) −17.2673 5.61050i −0.915167 0.297356i
\(357\) 23.5417 15.1792i 1.24596 0.803366i
\(358\) −1.06796 + 1.46993i −0.0564436 + 0.0776880i
\(359\) 8.86611 + 9.84681i 0.467935 + 0.519695i 0.930203 0.367046i \(-0.119631\pi\)
−0.462268 + 0.886740i \(0.652964\pi\)
\(360\) 0.0507889 + 0.824618i 0.00267681 + 0.0434612i
\(361\) 16.2496 + 7.23478i 0.855241 + 0.380778i
\(362\) 10.3697 17.9609i 0.545021 0.944004i
\(363\) 1.63637 18.9822i 0.0858874 0.996305i
\(364\) 1.48359 + 0.820649i 0.0777611 + 0.0430137i
\(365\) 2.54039 1.84570i 0.132970 0.0966084i
\(366\) −6.34231 4.31634i −0.331518 0.225619i
\(367\) −9.16748 + 1.94861i −0.478539 + 0.101717i −0.440865 0.897574i \(-0.645328\pi\)
−0.0376739 + 0.999290i \(0.511995\pi\)
\(368\) −1.20992 0.127167i −0.0630712 0.00662905i
\(369\) −8.54506 3.19071i −0.444838 0.166102i
\(370\) −1.89410 0.615431i −0.0984697 0.0319947i
\(371\) −4.11905 + 21.2913i −0.213851 + 1.10539i
\(372\) 2.06203 + 8.41906i 0.106911 + 0.436508i
\(373\) −11.2890 6.51770i −0.584522 0.337474i 0.178406 0.983957i \(-0.442906\pi\)
−0.762928 + 0.646483i \(0.776239\pi\)
\(374\) −5.36471 + 19.5502i −0.277403 + 1.01092i
\(375\) −0.639355 4.69040i −0.0330161 0.242211i
\(376\) 2.37321 0.249434i 0.122389 0.0128636i
\(377\) −5.38602 + 1.75002i −0.277394 + 0.0901308i
\(378\) −1.51752 13.6637i −0.0780527 0.702786i
\(379\) 3.50425 + 2.54599i 0.180001 + 0.130778i 0.674137 0.738606i \(-0.264516\pi\)
−0.494136 + 0.869385i \(0.664516\pi\)
\(380\) 0.277042 0.123347i 0.0142119 0.00632756i
\(381\) 0.147891 + 0.0267104i 0.00757667 + 0.00136842i
\(382\) 8.53554 + 7.68543i 0.436716 + 0.393221i
\(383\) −18.5415 + 1.94879i −0.947428 + 0.0995787i −0.565623 0.824664i \(-0.691364\pi\)
−0.381805 + 0.924243i \(0.624697\pi\)
\(384\) −0.655497 + 1.60322i −0.0334507 + 0.0818141i
\(385\) −2.24522 + 0.893758i −0.114427 + 0.0455501i
\(386\) 4.35689i 0.221760i
\(387\) 2.64242 + 2.10004i 0.134322 + 0.106751i
\(388\) 6.73373 7.47856i 0.341853 0.379666i
\(389\) −6.44589 30.3255i −0.326820 1.53757i −0.768179 0.640236i \(-0.778837\pi\)
0.441359 0.897331i \(-0.354497\pi\)
\(390\) −0.00939972 0.305521i −0.000475973 0.0154706i
\(391\) 4.37099 6.01615i 0.221050 0.304250i
\(392\) 4.87152 + 5.02676i 0.246049 + 0.253890i
\(393\) −20.4138 1.51263i −1.02974 0.0763021i
\(394\) −1.74254 16.5792i −0.0877881 0.835248i
\(395\) −1.71012 2.96201i −0.0860454 0.149035i
\(396\) 7.41505 + 6.63453i 0.372620 + 0.333398i
\(397\) −0.560544 + 0.970891i −0.0281329 + 0.0487276i −0.879749 0.475438i \(-0.842289\pi\)
0.851616 + 0.524166i \(0.175623\pi\)
\(398\) 4.40565 3.20089i 0.220835 0.160446i
\(399\) −4.50372 + 2.27627i −0.225468 + 0.113956i
\(400\) 1.52165 4.68315i 0.0760824 0.234158i
\(401\) 4.70955 + 10.5778i 0.235184 + 0.528232i 0.992125 0.125251i \(-0.0399738\pi\)
−0.756941 + 0.653483i \(0.773307\pi\)
\(402\) −16.2053 8.70298i −0.808248 0.434065i
\(403\) −0.666751 3.13682i −0.0332133 0.156256i
\(404\) 5.14806 + 1.09425i 0.256126 + 0.0544412i
\(405\) −1.97818 + 1.49331i −0.0982965 + 0.0742033i
\(406\) −23.3779 + 0.428776i −1.16023 + 0.0212798i
\(407\) −21.4359 + 10.7602i −1.06254 + 0.533364i
\(408\) −6.48344 8.36980i −0.320978 0.414367i
\(409\) 7.37683 16.5686i 0.364761 0.819266i −0.634177 0.773188i \(-0.718661\pi\)
0.998938 0.0460783i \(-0.0146724\pi\)
\(410\) −0.622249 0.560276i −0.0307307 0.0276700i
\(411\) 5.03905 + 14.0255i 0.248558 + 0.691827i
\(412\) 10.7155 + 7.78523i 0.527913 + 0.383551i
\(413\) −9.91177 21.2068i −0.487726 1.04352i
\(414\) −1.68664 3.23664i −0.0828940 0.159072i
\(415\) 0.241763 1.13741i 0.0118677 0.0558331i
\(416\) 0.260642 0.585412i 0.0127790 0.0287022i
\(417\) 2.19154 + 16.0775i 0.107320 + 0.787317i
\(418\) 1.32933 3.40171i 0.0650194 0.166383i
\(419\) 11.8865i 0.580692i −0.956922 0.290346i \(-0.906230\pi\)
0.956922 0.290346i \(-0.0937704\pi\)
\(420\) 0.330610 1.21794i 0.0161321 0.0594292i
\(421\) 8.22765 + 25.3221i 0.400991 + 1.23412i 0.924197 + 0.381917i \(0.124736\pi\)
−0.523206 + 0.852206i \(0.675264\pi\)
\(422\) 15.3715 13.8405i 0.748272 0.673747i
\(423\) 4.55594 + 5.52200i 0.221517 + 0.268489i
\(424\) 8.15168 + 0.856777i 0.395881 + 0.0416087i
\(425\) 20.1402 + 22.3679i 0.976941 + 1.08500i
\(426\) 1.44283 19.4718i 0.0699052 0.943410i
\(427\) 7.06083 + 9.35279i 0.341697 + 0.452613i
\(428\) 6.80693 0.329025
\(429\) −2.66660 2.53780i −0.128744 0.122526i
\(430\) 0.154922 + 0.268333i 0.00747100 + 0.0129401i
\(431\) 4.19913 + 1.86957i 0.202265 + 0.0900543i 0.505369 0.862903i \(-0.331356\pi\)
−0.303104 + 0.952957i \(0.598023\pi\)
\(432\) −5.09566 + 1.01698i −0.245165 + 0.0489295i
\(433\) −5.62756 + 17.3199i −0.270443 + 0.832339i 0.719946 + 0.694030i \(0.244167\pi\)
−0.990389 + 0.138309i \(0.955833\pi\)
\(434\) 1.14230 13.1911i 0.0548320 0.633192i
\(435\) 2.21899 + 3.58415i 0.106393 + 0.171847i
\(436\) −3.52401 + 3.17303i −0.168770 + 0.151961i
\(437\) −0.896423 + 0.995579i −0.0428817 + 0.0476250i
\(438\) 13.6599 + 14.2632i 0.652694 + 0.681522i
\(439\) 19.3916 + 11.1958i 0.925513 + 0.534345i 0.885390 0.464850i \(-0.153892\pi\)
0.0401231 + 0.999195i \(0.487225\pi\)
\(440\) 0.409762 + 0.816304i 0.0195346 + 0.0389158i
\(441\) −4.50016 + 20.5122i −0.214293 + 0.976769i
\(442\) 2.30234 + 3.16891i 0.109511 + 0.150729i
\(443\) 3.23742 15.2308i 0.153814 0.723639i −0.831861 0.554984i \(-0.812724\pi\)
0.985675 0.168655i \(-0.0539424\pi\)
\(444\) 2.22625 12.3263i 0.105653 0.584982i
\(445\) 0.522645 4.97264i 0.0247758 0.235726i
\(446\) 5.15301 2.29427i 0.244002 0.108637i
\(447\) −18.8426 15.9445i −0.891224 0.754150i
\(448\) 1.73400 1.99831i 0.0819238 0.0944113i
\(449\) 10.9616 + 15.0873i 0.517309 + 0.712014i 0.985130 0.171809i \(-0.0549610\pi\)
−0.467822 + 0.883823i \(0.654961\pi\)
\(450\) 14.2335 3.95384i 0.670975 0.186386i
\(451\) −10.0732 + 0.467175i −0.474328 + 0.0219984i
\(452\) −1.29273 + 0.746360i −0.0608050 + 0.0351058i
\(453\) 5.06968 17.4071i 0.238194 0.817857i
\(454\) 7.42335 + 22.8467i 0.348395 + 1.07225i
\(455\) −0.136116 + 0.446630i −0.00638122 + 0.0209384i
\(456\) 1.00400 + 1.62167i 0.0470166 + 0.0759418i
\(457\) −7.79806 17.5147i −0.364778 0.819304i −0.998937 0.0461017i \(-0.985320\pi\)
0.634159 0.773203i \(-0.281347\pi\)
\(458\) 25.3589 5.39020i 1.18494 0.251868i
\(459\) 10.1902 30.0825i 0.475637 1.40413i
\(460\) −0.0350211 0.333203i −0.00163287 0.0155357i
\(461\) 23.8811 1.11225 0.556126 0.831098i \(-0.312287\pi\)
0.556126 + 0.831098i \(0.312287\pi\)
\(462\) −7.47688 13.2324i −0.347856 0.615627i
\(463\) −9.27277 −0.430942 −0.215471 0.976510i \(-0.569129\pi\)
−0.215471 + 0.976510i \(0.569129\pi\)
\(464\) 0.923771 + 8.78910i 0.0428850 + 0.408024i
\(465\) −2.14982 + 1.03752i −0.0996956 + 0.0481137i
\(466\) −16.4864 + 3.50429i −0.763716 + 0.162333i
\(467\) −11.7726 26.4416i −0.544769 1.22357i −0.950827 0.309723i \(-0.899764\pi\)
0.406058 0.913847i \(-0.366903\pi\)
\(468\) 1.89594 0.318103i 0.0876399 0.0147043i
\(469\) 19.1809 + 20.5325i 0.885693 + 0.948104i
\(470\) 0.203076 + 0.625002i 0.00936718 + 0.0288292i
\(471\) 25.0624 + 7.29922i 1.15481 + 0.336330i
\(472\) −7.66232 + 4.42384i −0.352687 + 0.203624i
\(473\) 3.59849 + 0.987450i 0.165459 + 0.0454030i
\(474\) 17.0058 13.1731i 0.781103 0.605061i
\(475\) −3.18722 4.38683i −0.146240 0.201282i
\(476\) 5.27869 + 15.2864i 0.241949 + 0.700653i
\(477\) 11.3636 + 21.8065i 0.520303 + 0.998453i
\(478\) 12.5018 5.56615i 0.571818 0.254590i
\(479\) 3.33424 31.7232i 0.152345 1.44947i −0.604880 0.796317i \(-0.706779\pi\)
0.757225 0.653154i \(-0.226554\pi\)
\(480\) −0.469401 0.0847782i −0.0214251 0.00386958i
\(481\) −0.963505 + 4.53293i −0.0439320 + 0.206684i
\(482\) −1.86674 2.56934i −0.0850275 0.117030i
\(483\) 0.854154 + 5.50925i 0.0388654 + 0.250680i
\(484\) 10.4200 + 3.52479i 0.473635 + 0.160218i
\(485\) 2.40010 + 1.38570i 0.108983 + 0.0629213i
\(486\) −10.9863 11.0590i −0.498349 0.501646i
\(487\) 12.8020 14.2181i 0.580114 0.644281i −0.379637 0.925136i \(-0.623951\pi\)
0.959750 + 0.280854i \(0.0906177\pi\)
\(488\) 3.29160 2.96377i 0.149004 0.134164i
\(489\) −31.2621 + 19.3548i −1.41372 + 0.875255i
\(490\) −1.07515 + 1.60009i −0.0485705 + 0.0722846i
\(491\) 8.01785 24.6764i 0.361841 1.11363i −0.590095 0.807334i \(-0.700910\pi\)
0.951936 0.306297i \(-0.0990901\pi\)
\(492\) 2.96292 4.35362i 0.133579 0.196276i
\(493\) −49.3492 21.9717i −2.22258 0.989555i
\(494\) −0.352828 0.611116i −0.0158745 0.0274954i
\(495\) −1.36261 + 2.37731i −0.0612448 + 0.106852i
\(496\) −5.00442 −0.224705
\(497\) −11.6293 + 27.4645i −0.521645 + 1.23195i
\(498\) 7.29339 + 0.540429i 0.326825 + 0.0242172i
\(499\) 14.2687 + 15.8470i 0.638755 + 0.709410i 0.972408 0.233286i \(-0.0749480\pi\)
−0.333653 + 0.942696i \(0.608281\pi\)
\(500\) 2.71808 + 0.285681i 0.121556 + 0.0127761i
\(501\) 6.10033 + 3.27615i 0.272543 + 0.146368i
\(502\) 7.37430 6.63985i 0.329131 0.296351i
\(503\) −10.3394 31.8215i −0.461013 1.41885i −0.863929 0.503614i \(-0.832003\pi\)
0.402916 0.915237i \(-0.367997\pi\)
\(504\) 7.87070 + 1.02569i 0.350589 + 0.0456879i
\(505\) 1.44942i 0.0644982i
\(506\) −3.12041 2.55809i −0.138719 0.113721i
\(507\) 21.6056 2.94509i 0.959539 0.130796i
\(508\) −0.0352910 + 0.0792649i −0.00156578 + 0.00351681i
\(509\) 1.20700 5.67847i 0.0534991 0.251694i −0.943269 0.332031i \(-0.892266\pi\)
0.996768 + 0.0803369i \(0.0255996\pi\)
\(510\) 1.88339 2.22572i 0.0833980 0.0985563i
\(511\) −12.7735 27.3297i −0.565067 1.20899i
\(512\) −0.809017 0.587785i −0.0357538 0.0259767i
\(513\) −2.39222 + 5.19787i −0.105619 + 0.229492i
\(514\) 15.5229 + 13.9769i 0.684685 + 0.616493i
\(515\) −1.48361 + 3.33225i −0.0653757 + 0.146836i
\(516\) −1.54058 + 1.19337i −0.0678202 + 0.0525352i
\(517\) 7.03004 + 3.63541i 0.309181 + 0.159885i
\(518\) −9.26124 + 16.7427i −0.406915 + 0.735631i
\(519\) 0.311616 + 1.27229i 0.0136784 + 0.0558474i
\(520\) 0.172619 + 0.0366914i 0.00756987 + 0.00160902i
\(521\) 1.69719 + 7.98464i 0.0743552 + 0.349814i 0.999560 0.0296540i \(-0.00944054\pi\)
−0.925205 + 0.379468i \(0.876107\pi\)
\(522\) −20.4505 + 16.8728i −0.895095 + 0.738501i
\(523\) 2.40958 + 5.41201i 0.105364 + 0.236651i 0.958532 0.284985i \(-0.0919886\pi\)
−0.853168 + 0.521636i \(0.825322\pi\)
\(524\) 3.65204 11.2398i 0.159540 0.491013i
\(525\) −22.5304 1.25453i −0.983309 0.0547522i
\(526\) 15.6176 11.3468i 0.680959 0.494746i
\(527\) 15.2948 26.4913i 0.666251 1.15398i
\(528\) −4.73892 + 3.24694i −0.206235 + 0.141305i
\(529\) −10.7600 18.6368i −0.467825 0.810296i
\(530\) 0.235951 + 2.24492i 0.0102490 + 0.0975131i
\(531\) −23.7594 11.8333i −1.03107 0.513523i
\(532\) −0.657902 2.83821i −0.0285237 0.123052i
\(533\) −1.14522 + 1.57626i −0.0496048 + 0.0682752i
\(534\) 31.4321 0.967049i 1.36020 0.0418483i
\(535\) 0.389748 + 1.83362i 0.0168503 + 0.0792743i
\(536\) 7.10618 7.89221i 0.306940 0.340891i
\(537\) 0.879981 3.02148i 0.0379740 0.130386i
\(538\) 21.6384i 0.932897i
\(539\) 4.33314 + 22.8084i 0.186642 + 0.982428i
\(540\) −0.565714 1.31442i −0.0243445 0.0565635i
\(541\) 15.4635 1.62528i 0.664829 0.0698764i 0.233898 0.972261i \(-0.424852\pi\)
0.430931 + 0.902385i \(0.358185\pi\)
\(542\) 17.0856 + 15.3840i 0.733890 + 0.660798i
\(543\) −6.38452 + 35.3499i −0.273986 + 1.51701i
\(544\) 5.58406 2.48618i 0.239415 0.106594i
\(545\) −1.05651 0.767602i −0.0452561 0.0328805i
\(546\) −2.89891 0.468847i −0.124062 0.0200648i
\(547\) −17.7453 + 5.76579i −0.758734 + 0.246527i −0.662735 0.748854i \(-0.730604\pi\)
−0.0959986 + 0.995381i \(0.530604\pi\)
\(548\) −8.55726 + 0.899404i −0.365548 + 0.0384206i
\(549\) 12.8660 + 3.32152i 0.549108 + 0.141759i
\(550\) 12.7536 10.2013i 0.543816 0.434984i
\(551\) 8.42794 + 4.86588i 0.359043 + 0.207293i
\(552\) 2.04669 0.501283i 0.0871127 0.0213360i
\(553\) −31.0591 + 10.7253i −1.32077 + 0.456086i
\(554\) −29.2451 9.50230i −1.24250 0.403714i
\(555\) 3.44788 0.106078i 0.146354 0.00450278i
\(556\) −9.31685 0.979240i −0.395122 0.0415290i
\(557\) −44.9497 + 9.55435i −1.90458 + 0.404831i −0.999779 0.0210059i \(-0.993313\pi\)
−0.904800 + 0.425837i \(0.859980\pi\)
\(558\) −8.29171 12.5158i −0.351016 0.529836i
\(559\) 0.583282 0.423779i 0.0246702 0.0179239i
\(560\) 0.637580 + 0.352679i 0.0269427 + 0.0149034i
\(561\) −2.70464 35.0094i −0.114190 1.47810i
\(562\) −3.28077 + 5.68246i −0.138391 + 0.239700i
\(563\) 2.94216 + 1.30993i 0.123997 + 0.0552072i 0.467798 0.883836i \(-0.345048\pi\)
−0.343800 + 0.939043i \(0.611714\pi\)
\(564\) −3.72235 + 1.79643i −0.156739 + 0.0756432i
\(565\) −0.275070 0.305496i −0.0115723 0.0128523i
\(566\) 11.9900 16.5028i 0.503977 0.693665i
\(567\) 10.4756 + 21.3837i 0.439933 + 0.898030i
\(568\) 10.7211 + 3.48350i 0.449848 + 0.146165i
\(569\) 15.9791 + 3.39647i 0.669880 + 0.142387i 0.530282 0.847821i \(-0.322086\pi\)
0.139597 + 0.990208i \(0.455419\pi\)
\(570\) −0.379352 + 0.363306i −0.0158893 + 0.0152172i
\(571\) 36.1012 20.8430i 1.51079 0.872253i 0.510865 0.859661i \(-0.329325\pi\)
0.999921 0.0125921i \(-0.00400830\pi\)
\(572\) 1.78939 1.14680i 0.0748181 0.0479501i
\(573\) −18.4141 7.52884i −0.769261 0.314522i
\(574\) −6.42014 + 4.84685i −0.267972 + 0.202303i
\(575\) −5.69743 + 1.85121i −0.237599 + 0.0772007i
\(576\) 0.129580 2.99720i 0.00539915 0.124883i
\(577\) −4.05864 + 38.6154i −0.168963 + 1.60758i 0.501176 + 0.865345i \(0.332901\pi\)
−0.670140 + 0.742235i \(0.733766\pi\)
\(578\) −2.12850 + 20.2513i −0.0885338 + 0.842343i
\(579\) 2.55155 + 7.10190i 0.106039 + 0.295145i
\(580\) −2.31467 + 0.752083i −0.0961116 + 0.0312286i
\(581\) −10.2872 4.35590i −0.426784 0.180713i
\(582\) −6.59652 + 16.1339i −0.273435 + 0.668770i
\(583\) 21.0234 + 17.2348i 0.870701 + 0.713794i
\(584\) −9.87460 + 5.70110i −0.408614 + 0.235913i
\(585\) 0.194246 + 0.492506i 0.00803108 + 0.0203626i
\(586\) 8.71955 + 1.85340i 0.360201 + 0.0765631i
\(587\) −19.6492 6.38441i −0.811009 0.263513i −0.125984 0.992032i \(-0.540209\pi\)
−0.685025 + 0.728520i \(0.740209\pi\)
\(588\) −10.8846 5.34087i −0.448874 0.220254i
\(589\) −3.23917 + 4.45833i −0.133468 + 0.183702i
\(590\) −1.63040 1.81074i −0.0671226 0.0745472i
\(591\) 12.5498 + 26.0043i 0.516230 + 1.06967i
\(592\) 6.60653 + 2.94142i 0.271527 + 0.120892i
\(593\) −4.92618 + 8.53239i −0.202294 + 0.350383i −0.949267 0.314471i \(-0.898173\pi\)
0.746973 + 0.664854i \(0.231506\pi\)
\(594\) −15.9723 6.47202i −0.655350 0.265550i
\(595\) −3.81555 + 2.29721i −0.156422 + 0.0941766i
\(596\) 11.5293 8.37651i 0.472258 0.343115i
\(597\) −5.30682 + 7.79769i −0.217194 + 0.319138i
\(598\) −0.762565 + 0.162088i −0.0311836 + 0.00662828i
\(599\) 2.87618 + 0.302299i 0.117518 + 0.0123516i 0.163105 0.986609i \(-0.447849\pi\)
−0.0455871 + 0.998960i \(0.514516\pi\)
\(600\) 0.262278 + 8.52486i 0.0107074 + 0.348026i
\(601\) 3.36832 + 1.09443i 0.137396 + 0.0446428i 0.376908 0.926251i \(-0.376987\pi\)
−0.239512 + 0.970894i \(0.576987\pi\)
\(602\) 2.81369 0.971618i 0.114677 0.0396002i
\(603\) 31.5121 + 4.69577i 1.28327 + 0.191227i
\(604\) 9.06517 + 5.23378i 0.368856 + 0.212959i
\(605\) −0.352871 + 3.00871i −0.0143462 + 0.122321i
\(606\) −9.03238 + 1.23122i −0.366915 + 0.0500147i
\(607\) −11.0904 + 1.16565i −0.450146 + 0.0473123i −0.326890 0.945063i \(-0.606001\pi\)
−0.123257 + 0.992375i \(0.539334\pi\)
\(608\) −1.04729 + 0.340286i −0.0424733 + 0.0138004i
\(609\) 37.8558 14.3899i 1.53400 0.583108i
\(610\) 0.986836 + 0.716978i 0.0399558 + 0.0290296i
\(611\) 1.39696 0.621966i 0.0565149 0.0251621i
\(612\) 15.4699 + 9.84616i 0.625335 + 0.398007i
\(613\) 5.82568 + 5.24547i 0.235297 + 0.211862i 0.778341 0.627842i \(-0.216062\pi\)
−0.543044 + 0.839704i \(0.682728\pi\)
\(614\) −18.0327 + 1.89532i −0.727743 + 0.0764888i
\(615\) 1.34241 + 0.548860i 0.0541312 + 0.0221322i
\(616\) 8.44733 2.37541i 0.340353 0.0957080i
\(617\) 31.5067i 1.26841i −0.773165 0.634205i \(-0.781327\pi\)
0.773165 0.634205i \(-0.218673\pi\)
\(618\) −22.0259 6.41488i −0.886013 0.258044i
\(619\) 8.37604 9.30253i 0.336661 0.373900i −0.550915 0.834562i \(-0.685721\pi\)
0.887576 + 0.460661i \(0.152388\pi\)
\(620\) −0.286541 1.34807i −0.0115077 0.0541397i
\(621\) 4.64479 + 4.28809i 0.186389 + 0.172075i
\(622\) −11.7247 + 16.1376i −0.470117 + 0.647061i
\(623\) −45.9496 14.0037i −1.84093 0.561047i
\(624\) −0.0820185 + 1.10689i −0.00328337 + 0.0443109i
\(625\) −2.49490 23.7374i −0.0997959 0.949495i
\(626\) 12.2926 + 21.2914i 0.491311 + 0.850975i
\(627\) −0.174687 + 6.32343i −0.00697634 + 0.252533i
\(628\) −7.53548 + 13.0518i −0.300698 + 0.520825i
\(629\) −35.7619 + 25.9826i −1.42592 + 1.03599i
\(630\) 0.174361 + 2.17890i 0.00694670 + 0.0868096i
\(631\) 11.8671 36.5231i 0.472420 1.45396i −0.376985 0.926219i \(-0.623039\pi\)
0.849405 0.527741i \(-0.176961\pi\)
\(632\) 5.05145 + 11.3457i 0.200936 + 0.451309i
\(633\) −16.9506 + 31.5627i −0.673726 + 1.25451i
\(634\) −3.29061 15.4811i −0.130687 0.614833i
\(635\) −0.0233727 0.00496802i −0.000927517 0.000197150i
\(636\) −13.7893 + 3.37734i −0.546782 + 0.133920i
\(637\) 3.96436 + 2.09889i 0.157074 + 0.0831609i
\(638\) −13.4636 + 26.0355i −0.533030 + 1.03076i
\(639\) 9.05152 + 32.5847i 0.358072 + 1.28903i
\(640\) 0.112013 0.251585i 0.00442769 0.00994475i
\(641\) −17.1858 15.4741i −0.678797 0.611192i 0.255872 0.966711i \(-0.417638\pi\)
−0.934669 + 0.355519i \(0.884304\pi\)
\(642\) −11.0956 + 3.98639i −0.437907 + 0.157330i
\(643\) −2.06467 1.50007i −0.0814226 0.0591570i 0.546329 0.837570i \(-0.316025\pi\)
−0.627752 + 0.778414i \(0.716025\pi\)
\(644\) −3.20677 0.277694i −0.126364 0.0109427i
\(645\) −0.409674 0.346665i −0.0161309 0.0136499i
\(646\) 1.39946 6.58394i 0.0550610 0.259041i
\(647\) 11.2366 25.2378i 0.441756 0.992199i −0.546227 0.837637i \(-0.683937\pi\)
0.987983 0.154563i \(-0.0493968\pi\)
\(648\) 7.71055 4.64192i 0.302899 0.182352i
\(649\) −29.2945 1.71201i −1.14991 0.0672022i
\(650\) 3.15547i 0.123768i
\(651\) 5.86319 + 22.1709i 0.229796 + 0.868948i
\(652\) −6.55992 20.1894i −0.256906 0.790677i
\(653\) 8.39627 7.56003i 0.328571 0.295847i −0.488290 0.872682i \(-0.662379\pi\)
0.816861 + 0.576835i \(0.195712\pi\)
\(654\) 3.88603 7.23596i 0.151956 0.282948i
\(655\) 3.23684 + 0.340205i 0.126474 + 0.0132929i
\(656\) 2.03445 + 2.25949i 0.0794321 + 0.0882183i
\(657\) −30.6192 15.2499i −1.19457 0.594954i
\(658\) 6.26576 0.774973i 0.244265 0.0302116i
\(659\) 34.2568 1.33445 0.667227 0.744855i \(-0.267481\pi\)
0.667227 + 0.744855i \(0.267481\pi\)
\(660\) −1.14599 1.09064i −0.0446074 0.0424530i
\(661\) −14.5364 25.1779i −0.565402 0.979306i −0.997012 0.0772451i \(-0.975388\pi\)
0.431610 0.902060i \(-0.357946\pi\)
\(662\) −4.57355 2.03627i −0.177756 0.0791421i
\(663\) −5.60874 3.81711i −0.217825 0.148244i
\(664\) −1.30479 + 4.01573i −0.0506356 + 0.155840i
\(665\) 0.726876 0.339732i 0.0281870 0.0131742i
\(666\) 3.58988 + 21.3962i 0.139105 + 0.829085i
\(667\) 7.98995 7.19419i 0.309372 0.278560i
\(668\) −2.67505 + 2.97094i −0.103501 + 0.114949i
\(669\) −7.05600 + 6.75754i −0.272801 + 0.261262i
\(670\) 2.53285 + 1.46234i 0.0978525 + 0.0564952i
\(671\) 14.5230 2.21075i 0.560653 0.0853450i
\(672\) −1.65620 + 4.27282i −0.0638895 + 0.164828i
\(673\) 6.21543 + 8.55481i 0.239587 + 0.329764i 0.911831 0.410567i \(-0.134669\pi\)
−0.672243 + 0.740330i \(0.734669\pi\)
\(674\) −7.22544 + 33.9930i −0.278314 + 1.30936i
\(675\) −20.8857 + 14.7806i −0.803891 + 0.568905i
\(676\) −1.31595 + 12.5204i −0.0506133 + 0.481554i
\(677\) −39.3125 + 17.5031i −1.51090 + 0.672697i −0.984153 0.177323i \(-0.943256\pi\)
−0.526750 + 0.850020i \(0.676590\pi\)
\(678\) 1.67011 1.97367i 0.0641402 0.0757982i
\(679\) 17.4499 20.1098i 0.669667 0.771743i
\(680\) 0.989447 + 1.36186i 0.0379436 + 0.0522248i
\(681\) −25.4802 32.8937i −0.976404 1.26049i
\(682\) −13.8654 9.12336i −0.530935 0.349351i
\(683\) −7.54826 + 4.35799i −0.288826 + 0.166754i −0.637412 0.770523i \(-0.719995\pi\)
0.348586 + 0.937277i \(0.386662\pi\)
\(684\) −2.58627 2.05541i −0.0988886 0.0785907i
\(685\) −0.732245 2.25362i −0.0279776 0.0861063i
\(686\) 13.1306 + 13.0610i 0.501327 + 0.498670i
\(687\) −38.1793 + 23.6374i −1.45663 + 0.901821i
\(688\) −0.457617 1.02783i −0.0174465 0.0391855i
\(689\) 5.13770 1.09205i 0.195731 0.0416039i
\(690\) 0.252222 + 0.522625i 0.00960191 + 0.0198960i
\(691\) 0.153012 + 1.45581i 0.00582086 + 0.0553818i 0.997047 0.0767970i \(-0.0244693\pi\)
−0.991226 + 0.132179i \(0.957803\pi\)
\(692\) −0.756270 −0.0287491
\(693\) 19.9370 + 17.1906i 0.757343 + 0.653017i
\(694\) −5.69459 −0.216164
\(695\) −0.269676 2.56580i −0.0102294 0.0973263i
\(696\) −6.65300 13.7856i −0.252181 0.522541i
\(697\) −18.1786 + 3.86399i −0.688565 + 0.146359i
\(698\) −0.656690 1.47495i −0.0248561 0.0558276i
\(699\) 24.8212 15.3671i 0.938824 0.581239i
\(700\) 3.79801 12.4622i 0.143551 0.471027i
\(701\) 2.37893 + 7.32158i 0.0898508 + 0.276532i 0.985878 0.167468i \(-0.0535590\pi\)
−0.896027 + 0.444000i \(0.853559\pi\)
\(702\) −2.90416 + 1.62885i −0.109611 + 0.0614771i
\(703\) 6.89660 3.98176i 0.260110 0.150175i
\(704\) −1.16993 3.10343i −0.0440932 0.116965i
\(705\) −0.697046 0.899850i −0.0262523 0.0338903i
\(706\) 2.27594 + 3.13256i 0.0856561 + 0.117896i
\(707\) 13.6713 + 2.64486i 0.514162 + 0.0994704i
\(708\) 9.89913 11.6984i 0.372032 0.439652i
\(709\) 41.7752 18.5995i 1.56890 0.698519i 0.575996 0.817452i \(-0.304614\pi\)
0.992902 + 0.118933i \(0.0379475\pi\)
\(710\) −0.324506 + 3.08746i −0.0121785 + 0.115870i
\(711\) −20.0055 + 31.4319i −0.750265 + 1.17879i
\(712\) −3.77483 + 17.7592i −0.141468 + 0.665554i
\(713\) 3.57860 + 4.92552i 0.134020 + 0.184462i
\(714\) −17.5568 21.8261i −0.657046 0.816822i
\(715\) 0.411376 + 0.416355i 0.0153846 + 0.0155708i
\(716\) 1.57351 + 0.908464i 0.0588047 + 0.0339509i
\(717\) −17.1186 + 16.3945i −0.639308 + 0.612265i
\(718\) 8.86611 9.84681i 0.330880 0.367480i
\(719\) −19.1451 + 17.2383i −0.713991 + 0.642881i −0.943862 0.330340i \(-0.892836\pi\)
0.229870 + 0.973221i \(0.426170\pi\)
\(720\) 0.814792 0.136707i 0.0303655 0.00509476i
\(721\) 28.7234 + 20.0744i 1.06971 + 0.747611i
\(722\) 5.49660 16.9168i 0.204562 0.629578i
\(723\) 4.54756 + 3.09490i 0.169125 + 0.115101i
\(724\) −18.9464 8.43550i −0.704139 0.313503i
\(725\) 21.7586 + 37.6871i 0.808096 + 1.39966i
\(726\) −19.0492 + 0.356766i −0.706983 + 0.0132408i
\(727\) 48.6736 1.80521 0.902603 0.430474i \(-0.141654\pi\)
0.902603 + 0.430474i \(0.141654\pi\)
\(728\) 0.661076 1.56124i 0.0245011 0.0578634i
\(729\) 24.3847 + 11.5926i 0.903135 + 0.429356i
\(730\) −2.10113 2.33354i −0.0777664 0.0863684i
\(731\) 6.83948 + 0.718859i 0.252967 + 0.0265880i
\(732\) −3.62975 + 6.75874i −0.134159 + 0.249810i
\(733\) 31.1698 28.0654i 1.15128 1.03662i 0.152452 0.988311i \(-0.451283\pi\)
0.998832 0.0483098i \(-0.0153835\pi\)
\(734\) 2.89620 + 8.91357i 0.106901 + 0.329006i
\(735\) 0.815474 3.23786i 0.0300792 0.119430i
\(736\) 1.21658i 0.0448438i
\(737\) 34.0766 8.91147i 1.25523 0.328258i
\(738\) −2.28003 + 8.83177i −0.0839292 + 0.325102i
\(739\) −7.30858 + 16.4153i −0.268851 + 0.603848i −0.996636 0.0819568i \(-0.973883\pi\)
0.727785 + 0.685805i \(0.240550\pi\)
\(740\) −0.414072 + 1.94806i −0.0152216 + 0.0716120i
\(741\) 0.933015 + 0.789514i 0.0342752 + 0.0290035i
\(742\) 21.6053 + 1.87094i 0.793154 + 0.0686842i
\(743\) −16.6041 12.0636i −0.609145 0.442570i 0.239968 0.970781i \(-0.422863\pi\)
−0.849113 + 0.528211i \(0.822863\pi\)
\(744\) 8.15740 2.93077i 0.299065 0.107447i
\(745\) 2.91657 + 2.62609i 0.106855 + 0.0962124i
\(746\) −5.30198 + 11.9084i −0.194119 + 0.435999i
\(747\) −12.2050 + 3.39036i −0.446558 + 0.124047i
\(748\) 20.0039 + 3.29177i 0.731415 + 0.120359i
\(749\) 18.0064 0.330257i 0.657940 0.0120673i
\(750\) −4.59788 + 1.12613i −0.167891 + 0.0411206i
\(751\) 5.82008 + 1.23710i 0.212378 + 0.0451422i 0.312872 0.949795i \(-0.398709\pi\)
−0.100494 + 0.994938i \(0.532042\pi\)
\(752\) −0.496136 2.33414i −0.0180922 0.0851172i
\(753\) −8.13187 + 15.1419i −0.296342 + 0.551801i
\(754\) 2.30343 + 5.17359i 0.0838859 + 0.188411i
\(755\) −0.890802 + 2.74161i −0.0324196 + 0.0997773i
\(756\) −13.4302 + 2.93745i −0.488453 + 0.106834i
\(757\) 29.7626 21.6238i 1.08174 0.785930i 0.103754 0.994603i \(-0.466914\pi\)
0.977985 + 0.208673i \(0.0669145\pi\)
\(758\) 2.16574 3.75118i 0.0786634 0.136249i
\(759\) 6.58450 + 2.34236i 0.239002 + 0.0850222i
\(760\) −0.151630 0.262631i −0.00550020 0.00952662i
\(761\) −1.46847 13.9716i −0.0532320 0.506469i −0.988357 0.152151i \(-0.951380\pi\)
0.935125 0.354317i \(-0.115287\pi\)
\(762\) 0.0111053 0.149873i 0.000402303 0.00542931i
\(763\) −9.16814 + 8.56462i −0.331909 + 0.310060i
\(764\) 6.75112 9.29212i 0.244247 0.336177i
\(765\) −1.76654 + 4.73099i −0.0638695 + 0.171049i
\(766\) 3.87623 + 18.2362i 0.140054 + 0.658902i
\(767\) −3.79378 + 4.21342i −0.136986 + 0.152138i
\(768\) 1.66296 + 0.484323i 0.0600068 + 0.0174765i
\(769\) 46.4499i 1.67503i 0.546416 + 0.837514i \(0.315992\pi\)
−0.546416 + 0.837514i \(0.684008\pi\)
\(770\) 1.12355 + 2.13949i 0.0404900 + 0.0771020i
\(771\) −33.4883 13.6921i −1.20605 0.493108i
\(772\) −4.33302 + 0.455419i −0.155949 + 0.0163909i