Properties

Label 552.2.bb.a.13.12
Level $552$
Weight $2$
Character 552.13
Analytic conductor $4.408$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 552.bb (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(48\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 13.12
Character \(\chi\) \(=\) 552.13
Dual form 552.2.bb.a.85.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.08248 + 0.910071i) q^{2} +(0.540641 - 0.841254i) q^{3} +(0.343541 - 1.97027i) q^{4} +(-2.04961 - 0.936025i) q^{5} +(0.180366 + 1.40266i) q^{6} +(3.54305 + 1.04033i) q^{7} +(1.42121 + 2.44544i) q^{8} +(-0.415415 - 0.909632i) q^{9} +O(q^{10})\) \(q+(-1.08248 + 0.910071i) q^{2} +(0.540641 - 0.841254i) q^{3} +(0.343541 - 1.97027i) q^{4} +(-2.04961 - 0.936025i) q^{5} +(0.180366 + 1.40266i) q^{6} +(3.54305 + 1.04033i) q^{7} +(1.42121 + 2.44544i) q^{8} +(-0.415415 - 0.909632i) q^{9} +(3.07052 - 0.852058i) q^{10} +(2.25379 + 1.95292i) q^{11} +(-1.47177 - 1.35422i) q^{12} +(-1.41971 - 4.83508i) q^{13} +(-4.78207 + 2.09828i) q^{14} +(-1.89554 + 1.21819i) q^{15} +(-3.76396 - 1.35374i) q^{16} +(0.385395 + 2.68048i) q^{17} +(1.27751 + 0.606604i) q^{18} +(0.208985 + 0.0300475i) q^{19} +(-2.54835 + 3.71673i) q^{20} +(2.79070 - 2.41816i) q^{21} +(-4.21699 - 0.0628947i) q^{22} +(2.30498 - 4.20560i) q^{23} +(2.82560 + 0.126503i) q^{24} +(0.0504502 + 0.0582227i) q^{25} +(5.93707 + 3.94186i) q^{26} +(-0.989821 - 0.142315i) q^{27} +(3.26693 - 6.62338i) q^{28} +(-1.25460 + 0.180384i) q^{29} +(0.943250 - 3.04374i) q^{30} +(7.50991 - 4.82632i) q^{31} +(5.30642 - 1.96007i) q^{32} +(2.86140 - 0.840182i) q^{33} +(-2.85661 - 2.55084i) q^{34} +(-6.28809 - 5.44866i) q^{35} +(-1.93494 + 0.505986i) q^{36} +(8.01424 - 3.65998i) q^{37} +(-0.253568 + 0.157665i) q^{38} +(-4.83508 - 1.41971i) q^{39} +(-0.623940 - 6.34248i) q^{40} +(2.68265 - 5.87419i) q^{41} +(-0.820194 + 5.15735i) q^{42} +(-1.18566 + 1.84492i) q^{43} +(4.62207 - 3.76968i) q^{44} +2.25323i q^{45} +(1.33229 + 6.65019i) q^{46} -7.74290 q^{47} +(-3.17379 + 2.43456i) q^{48} +(5.58214 + 3.58742i) q^{49} +(-0.107598 - 0.0171118i) q^{50} +(2.46333 + 1.12496i) q^{51} +(-10.0142 + 1.13616i) q^{52} +(1.35011 - 4.59806i) q^{53} +(1.20098 - 0.746754i) q^{54} +(-2.79141 - 6.11234i) q^{55} +(2.49136 + 10.1428i) q^{56} +(0.138263 - 0.159564i) q^{57} +(1.19392 - 1.33704i) q^{58} +(0.831099 + 2.83046i) q^{59} +(1.74897 + 4.15322i) q^{60} +(2.51896 + 3.91958i) q^{61} +(-3.73705 + 12.0590i) q^{62} +(-0.525516 - 3.65504i) q^{63} +(-3.96031 + 6.95097i) q^{64} +(-1.61591 + 11.2389i) q^{65} +(-2.33279 + 3.51356i) q^{66} +(9.06703 - 7.85662i) q^{67} +(5.41368 + 0.161521i) q^{68} +(-2.29181 - 4.21279i) q^{69} +(11.7654 + 0.175476i) q^{70} +(-9.89160 - 11.4155i) q^{71} +(1.63405 - 2.30865i) q^{72} +(-2.26270 + 15.7374i) q^{73} +(-5.34444 + 11.2554i) q^{74} +(0.0762555 - 0.0109639i) q^{75} +(0.130997 - 0.401435i) q^{76} +(5.95362 + 9.26401i) q^{77} +(6.52593 - 2.86346i) q^{78} +(2.60042 - 0.763551i) q^{79} +(6.44751 + 6.29780i) q^{80} +(-0.654861 + 0.755750i) q^{81} +(2.44200 + 8.80012i) q^{82} +(1.34692 - 0.615119i) q^{83} +(-3.80571 - 6.32918i) q^{84} +(1.71909 - 5.85468i) q^{85} +(-0.395553 - 3.07613i) q^{86} +(-0.526538 + 1.15296i) q^{87} +(-1.57263 + 8.28703i) q^{88} +(6.87125 + 4.41588i) q^{89} +(-2.05060 - 2.43908i) q^{90} -18.6079i q^{91} +(-7.49432 - 5.98624i) q^{92} -8.92704i q^{93} +(8.38156 - 7.04659i) q^{94} +(-0.400212 - 0.257201i) q^{95} +(1.21995 - 5.52374i) q^{96} +(-3.69982 + 8.10148i) q^{97} +(-9.30739 + 1.19682i) q^{98} +(0.840182 - 2.86140i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} + O(q^{10}) \) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} - 4q^{10} - 4q^{14} - 8q^{15} - 8q^{16} - 4q^{18} + 20q^{20} + 20q^{22} - 8q^{23} - 4q^{24} + 48q^{25} + 16q^{30} + 16q^{31} + 4q^{32} + 6q^{34} - 22q^{36} + 90q^{38} - 74q^{40} + 90q^{42} - 130q^{44} + 96q^{46} - 88q^{48} - 48q^{49} + 142q^{50} - 142q^{52} + 18q^{54} - 82q^{56} + 22q^{58} + 2q^{60} - 40q^{62} - 8q^{63} + 16q^{66} - 44q^{68} + 16q^{71} - 4q^{72} + 10q^{74} - 138q^{76} - 40q^{79} - 170q^{80} - 48q^{81} - 124q^{82} - 8q^{84} - 216q^{86} - 108q^{88} + 4q^{90} - 198q^{92} - 238q^{94} + 80q^{95} + 4q^{96} - 132q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{7}{11}\right)\) \(1\) \(-1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.08248 + 0.910071i −0.765431 + 0.643517i
\(3\) 0.540641 0.841254i 0.312139 0.485698i
\(4\) 0.343541 1.97027i 0.171770 0.985137i
\(5\) −2.04961 0.936025i −0.916613 0.418603i −0.0994716 0.995040i \(-0.531715\pi\)
−0.817141 + 0.576437i \(0.804443\pi\)
\(6\) 0.180366 + 1.40266i 0.0736340 + 0.572635i
\(7\) 3.54305 + 1.04033i 1.33915 + 0.393209i 0.871365 0.490635i \(-0.163235\pi\)
0.467782 + 0.883844i \(0.345053\pi\)
\(8\) 1.42121 + 2.44544i 0.502474 + 0.864592i
\(9\) −0.415415 0.909632i −0.138472 0.303211i
\(10\) 3.07052 0.852058i 0.970983 0.269444i
\(11\) 2.25379 + 1.95292i 0.679545 + 0.588829i 0.924719 0.380650i \(-0.124300\pi\)
−0.245175 + 0.969479i \(0.578845\pi\)
\(12\) −1.47177 1.35422i −0.424863 0.390928i
\(13\) −1.41971 4.83508i −0.393756 1.34101i −0.883209 0.468980i \(-0.844622\pi\)
0.489453 0.872030i \(-0.337196\pi\)
\(14\) −4.78207 + 2.09828i −1.27806 + 0.560790i
\(15\) −1.89554 + 1.21819i −0.489425 + 0.314535i
\(16\) −3.76396 1.35374i −0.940990 0.338435i
\(17\) 0.385395 + 2.68048i 0.0934721 + 0.650113i 0.981661 + 0.190634i \(0.0610545\pi\)
−0.888189 + 0.459478i \(0.848036\pi\)
\(18\) 1.27751 + 0.606604i 0.301112 + 0.142978i
\(19\) 0.208985 + 0.0300475i 0.0479444 + 0.00689336i 0.166245 0.986084i \(-0.446836\pi\)
−0.118301 + 0.992978i \(0.537745\pi\)
\(20\) −2.54835 + 3.71673i −0.569828 + 0.831086i
\(21\) 2.79070 2.41816i 0.608981 0.527685i
\(22\) −4.21699 0.0628947i −0.899066 0.0134092i
\(23\) 2.30498 4.20560i 0.480622 0.876928i
\(24\) 2.82560 + 0.126503i 0.576773 + 0.0258223i
\(25\) 0.0504502 + 0.0582227i 0.0100900 + 0.0116445i
\(26\) 5.93707 + 3.94186i 1.16436 + 0.773062i
\(27\) −0.989821 0.142315i −0.190491 0.0273885i
\(28\) 3.26693 6.62338i 0.617391 1.25170i
\(29\) −1.25460 + 0.180384i −0.232973 + 0.0334964i −0.257812 0.966195i \(-0.583002\pi\)
0.0248395 + 0.999691i \(0.492093\pi\)
\(30\) 0.943250 3.04374i 0.172213 0.555709i
\(31\) 7.50991 4.82632i 1.34882 0.866833i 0.351234 0.936288i \(-0.385762\pi\)
0.997585 + 0.0694545i \(0.0221259\pi\)
\(32\) 5.30642 1.96007i 0.938052 0.346495i
\(33\) 2.86140 0.840182i 0.498105 0.146257i
\(34\) −2.85661 2.55084i −0.489905 0.437466i
\(35\) −6.28809 5.44866i −1.06288 0.920992i
\(36\) −1.93494 + 0.505986i −0.322489 + 0.0843309i
\(37\) 8.01424 3.65998i 1.31753 0.601697i 0.372306 0.928110i \(-0.378567\pi\)
0.945227 + 0.326413i \(0.105840\pi\)
\(38\) −0.253568 + 0.157665i −0.0411341 + 0.0255767i
\(39\) −4.83508 1.41971i −0.774232 0.227335i
\(40\) −0.623940 6.34248i −0.0986536 1.00283i
\(41\) 2.68265 5.87419i 0.418960 0.917395i −0.576031 0.817428i \(-0.695399\pi\)
0.994991 0.0999666i \(-0.0318736\pi\)
\(42\) −0.820194 + 5.15735i −0.126559 + 0.795797i
\(43\) −1.18566 + 1.84492i −0.180811 + 0.281347i −0.919814 0.392355i \(-0.871661\pi\)
0.739003 + 0.673702i \(0.235297\pi\)
\(44\) 4.62207 3.76968i 0.696803 0.568301i
\(45\) 2.25323i 0.335892i
\(46\) 1.33229 + 6.65019i 0.196435 + 0.980517i
\(47\) −7.74290 −1.12942 −0.564709 0.825290i \(-0.691011\pi\)
−0.564709 + 0.825290i \(0.691011\pi\)
\(48\) −3.17379 + 2.43456i −0.458097 + 0.351398i
\(49\) 5.58214 + 3.58742i 0.797449 + 0.512489i
\(50\) −0.107598 0.0171118i −0.0152167 0.00241997i
\(51\) 2.46333 + 1.12496i 0.344935 + 0.157526i
\(52\) −10.0142 + 1.13616i −1.38871 + 0.157558i
\(53\) 1.35011 4.59806i 0.185452 0.631593i −0.813309 0.581832i \(-0.802336\pi\)
0.998761 0.0497604i \(-0.0158458\pi\)
\(54\) 1.20098 0.746754i 0.163433 0.101620i
\(55\) −2.79141 6.11234i −0.376394 0.824187i
\(56\) 2.49136 + 10.1428i 0.332922 + 1.35539i
\(57\) 0.138263 0.159564i 0.0183134 0.0211348i
\(58\) 1.19392 1.33704i 0.156769 0.175561i
\(59\) 0.831099 + 2.83046i 0.108200 + 0.368495i 0.995737 0.0922420i \(-0.0294033\pi\)
−0.887537 + 0.460737i \(0.847585\pi\)
\(60\) 1.74897 + 4.15322i 0.225791 + 0.536179i
\(61\) 2.51896 + 3.91958i 0.322520 + 0.501851i 0.964219 0.265105i \(-0.0854067\pi\)
−0.641700 + 0.766956i \(0.721770\pi\)
\(62\) −3.73705 + 12.0590i −0.474606 + 1.53149i
\(63\) −0.525516 3.65504i −0.0662088 0.460492i
\(64\) −3.96031 + 6.95097i −0.495039 + 0.868871i
\(65\) −1.61591 + 11.2389i −0.200429 + 1.39401i
\(66\) −2.33279 + 3.51356i −0.287147 + 0.432489i
\(67\) 9.06703 7.85662i 1.10771 0.959839i 0.108301 0.994118i \(-0.465459\pi\)
0.999412 + 0.0342787i \(0.0109134\pi\)
\(68\) 5.41368 + 0.161521i 0.656506 + 0.0195874i
\(69\) −2.29181 4.21279i −0.275901 0.507161i
\(70\) 11.7654 + 0.175476i 1.40624 + 0.0209734i
\(71\) −9.89160 11.4155i −1.17392 1.35477i −0.922078 0.387004i \(-0.873510\pi\)
−0.251839 0.967769i \(-0.581035\pi\)
\(72\) 1.63405 2.30865i 0.192575 0.272077i
\(73\) −2.26270 + 15.7374i −0.264829 + 1.84192i 0.230319 + 0.973115i \(0.426023\pi\)
−0.495148 + 0.868809i \(0.664886\pi\)
\(74\) −5.34444 + 11.2554i −0.621279 + 1.30841i
\(75\) 0.0762555 0.0109639i 0.00880522 0.00126600i
\(76\) 0.130997 0.401435i 0.0150263 0.0460477i
\(77\) 5.95362 + 9.26401i 0.678477 + 1.05573i
\(78\) 6.52593 2.86346i 0.738916 0.324222i
\(79\) 2.60042 0.763551i 0.292570 0.0859062i −0.132154 0.991229i \(-0.542189\pi\)
0.424724 + 0.905323i \(0.360371\pi\)
\(80\) 6.44751 + 6.29780i 0.720854 + 0.704115i
\(81\) −0.654861 + 0.755750i −0.0727623 + 0.0839722i
\(82\) 2.44200 + 8.80012i 0.269674 + 0.971811i
\(83\) 1.34692 0.615119i 0.147844 0.0675180i −0.340119 0.940382i \(-0.610467\pi\)
0.487963 + 0.872864i \(0.337740\pi\)
\(84\) −3.80571 6.32918i −0.415237 0.690571i
\(85\) 1.71909 5.85468i 0.186461 0.635029i
\(86\) −0.395553 3.07613i −0.0426536 0.331707i
\(87\) −0.526538 + 1.15296i −0.0564508 + 0.123610i
\(88\) −1.57263 + 8.28703i −0.167643 + 0.883400i
\(89\) 6.87125 + 4.41588i 0.728351 + 0.468083i 0.851533 0.524301i \(-0.175673\pi\)
−0.123182 + 0.992384i \(0.539310\pi\)
\(90\) −2.05060 2.43908i −0.216152 0.257102i
\(91\) 18.6079i 1.95064i
\(92\) −7.49432 5.98624i −0.781337 0.624109i
\(93\) 8.92704i 0.925691i
\(94\) 8.38156 7.04659i 0.864492 0.726800i
\(95\) −0.400212 0.257201i −0.0410609 0.0263882i
\(96\) 1.21995 5.52374i 0.124511 0.563764i
\(97\) −3.69982 + 8.10148i −0.375660 + 0.822580i 0.623509 + 0.781816i \(0.285707\pi\)
−0.999169 + 0.0407642i \(0.987021\pi\)
\(98\) −9.30739 + 1.19682i −0.940188 + 0.120897i
\(99\) 0.840182 2.86140i 0.0844415 0.287581i
\(100\) 0.132046 0.0793989i 0.0132046 0.00793989i
\(101\) 6.45872 2.94960i 0.642667 0.293496i −0.0672984 0.997733i \(-0.521438\pi\)
0.709965 + 0.704237i \(0.248711\pi\)
\(102\) −3.69031 + 1.02405i −0.365395 + 0.101396i
\(103\) −10.1383 + 11.7002i −0.998957 + 1.15286i −0.0107178 + 0.999943i \(0.503412\pi\)
−0.988239 + 0.152915i \(0.951134\pi\)
\(104\) 9.80617 10.3435i 0.961574 1.01426i
\(105\) −7.98330 + 2.34411i −0.779091 + 0.228762i
\(106\) 2.72309 + 6.20603i 0.264490 + 0.602783i
\(107\) 4.66567 + 7.25992i 0.451047 + 0.701843i 0.990090 0.140435i \(-0.0448503\pi\)
−0.539043 + 0.842278i \(0.681214\pi\)
\(108\) −0.620443 + 1.90133i −0.0597022 + 0.182955i
\(109\) −17.8497 + 2.56640i −1.70969 + 0.245817i −0.926589 0.376076i \(-0.877273\pi\)
−0.783103 + 0.621892i \(0.786364\pi\)
\(110\) 8.58432 + 4.07612i 0.818483 + 0.388643i
\(111\) 1.25385 8.72074i 0.119011 0.827736i
\(112\) −11.9276 8.71214i −1.12705 0.823220i
\(113\) −2.94496 3.39867i −0.277039 0.319720i 0.600130 0.799903i \(-0.295116\pi\)
−0.877168 + 0.480183i \(0.840570\pi\)
\(114\) −0.00445282 + 0.298555i −0.000417045 + 0.0279622i
\(115\) −8.66086 + 6.46231i −0.807629 + 0.602613i
\(116\) −0.0756000 + 2.53387i −0.00701928 + 0.235264i
\(117\) −3.80837 + 3.29997i −0.352084 + 0.305083i
\(118\) −3.47557 2.30757i −0.319953 0.212429i
\(119\) −1.42312 + 9.89803i −0.130457 + 0.907351i
\(120\) −5.67296 2.90411i −0.517868 0.265108i
\(121\) −0.299786 2.08506i −0.0272533 0.189551i
\(122\) −6.29383 1.95045i −0.569817 0.176585i
\(123\) −3.49133 5.43262i −0.314803 0.489843i
\(124\) −6.92922 16.4546i −0.622262 1.47767i
\(125\) 3.12513 + 10.6432i 0.279520 + 0.951959i
\(126\) 3.89521 + 3.47827i 0.347013 + 0.309869i
\(127\) 0.785003 0.905942i 0.0696578 0.0803893i −0.719851 0.694129i \(-0.755790\pi\)
0.789509 + 0.613739i \(0.210335\pi\)
\(128\) −2.03890 11.1285i −0.180215 0.983627i
\(129\) 0.911030 + 1.99488i 0.0802117 + 0.175639i
\(130\) −8.47900 13.6365i −0.743658 1.19600i
\(131\) 0.552936 1.88313i 0.0483102 0.164529i −0.931805 0.362960i \(-0.881766\pi\)
0.980115 + 0.198430i \(0.0635844\pi\)
\(132\) −0.672382 5.92637i −0.0585233 0.515825i
\(133\) 0.709184 + 0.323874i 0.0614941 + 0.0280834i
\(134\) −2.66482 + 16.7563i −0.230205 + 1.44752i
\(135\) 1.89554 + 1.21819i 0.163142 + 0.104845i
\(136\) −6.00722 + 4.75199i −0.515115 + 0.407480i
\(137\) −8.50993 −0.727053 −0.363526 0.931584i \(-0.618427\pi\)
−0.363526 + 0.931584i \(0.618427\pi\)
\(138\) 6.31478 + 2.47457i 0.537550 + 0.210650i
\(139\) 19.7006i 1.67099i 0.549501 + 0.835493i \(0.314818\pi\)
−0.549501 + 0.835493i \(0.685182\pi\)
\(140\) −12.8956 + 10.5174i −1.08987 + 0.888884i
\(141\) −4.18613 + 6.51374i −0.352535 + 0.548556i
\(142\) 21.0964 + 3.35505i 1.77037 + 0.281549i
\(143\) 6.24281 13.6698i 0.522050 1.14313i
\(144\) 0.332200 + 3.98618i 0.0276833 + 0.332182i
\(145\) 2.74028 + 0.804618i 0.227568 + 0.0668199i
\(146\) −11.8728 19.0947i −0.982602 1.58029i
\(147\) 6.03587 2.75649i 0.497830 0.227351i
\(148\) −4.45795 17.0476i −0.366441 1.40130i
\(149\) 8.48173 + 7.34946i 0.694850 + 0.602091i 0.928987 0.370113i \(-0.120681\pi\)
−0.234137 + 0.972204i \(0.575226\pi\)
\(150\) −0.0725674 + 0.0812661i −0.00592510 + 0.00663535i
\(151\) −3.79293 + 1.11371i −0.308664 + 0.0906320i −0.432396 0.901684i \(-0.642332\pi\)
0.123732 + 0.992316i \(0.460514\pi\)
\(152\) 0.223533 + 0.553763i 0.0181309 + 0.0449161i
\(153\) 2.27815 1.46408i 0.184178 0.118364i
\(154\) −14.8756 4.60992i −1.19871 0.371478i
\(155\) −19.9099 + 2.86262i −1.59920 + 0.229931i
\(156\) −4.45826 + 9.03870i −0.356946 + 0.723675i
\(157\) −13.3923 1.92553i −1.06883 0.153674i −0.414623 0.909993i \(-0.636087\pi\)
−0.654203 + 0.756319i \(0.726996\pi\)
\(158\) −2.12002 + 3.19309i −0.168660 + 0.254029i
\(159\) −3.13821 3.62169i −0.248876 0.287219i
\(160\) −12.7108 0.949568i −1.00487 0.0750700i
\(161\) 12.5419 12.5027i 0.988440 0.985350i
\(162\) 0.0210900 1.41406i 0.00165699 0.111099i
\(163\) 8.11964 7.03571i 0.635979 0.551079i −0.276082 0.961134i \(-0.589036\pi\)
0.912061 + 0.410055i \(0.134491\pi\)
\(164\) −10.6522 7.30359i −0.831794 0.570314i
\(165\) −6.65118 0.956295i −0.517793 0.0744475i
\(166\) −0.898219 + 1.89165i −0.0697153 + 0.146821i
\(167\) 1.36676 + 9.50600i 0.105763 + 0.735596i 0.971832 + 0.235673i \(0.0757294\pi\)
−0.866070 + 0.499923i \(0.833362\pi\)
\(168\) 9.87963 + 3.38777i 0.762230 + 0.261372i
\(169\) −10.4261 + 6.70045i −0.802008 + 0.515420i
\(170\) 3.46729 + 7.90209i 0.265929 + 0.606063i
\(171\) −0.0594833 0.202581i −0.00454880 0.0154918i
\(172\) 3.22767 + 2.96987i 0.246108 + 0.226451i
\(173\) 16.2696 + 14.0976i 1.23695 + 1.07182i 0.994827 + 0.101579i \(0.0323895\pi\)
0.242124 + 0.970245i \(0.422156\pi\)
\(174\) −0.479304 1.72724i −0.0363360 0.130942i
\(175\) 0.118177 + 0.258771i 0.00893332 + 0.0195612i
\(176\) −5.83944 10.4018i −0.440164 0.784063i
\(177\) 2.83046 + 0.831099i 0.212751 + 0.0624692i
\(178\) −11.4568 + 1.47320i −0.858722 + 0.110421i
\(179\) −20.6597 9.43497i −1.54418 0.705203i −0.552449 0.833547i \(-0.686307\pi\)
−0.991730 + 0.128344i \(0.959034\pi\)
\(180\) 4.43948 + 0.774076i 0.330899 + 0.0576962i
\(181\) −2.63125 + 4.09430i −0.195579 + 0.304327i −0.925167 0.379560i \(-0.876075\pi\)
0.729588 + 0.683887i \(0.239712\pi\)
\(182\) 16.9345 + 20.1427i 1.25527 + 1.49308i
\(183\) 4.65921 0.344419
\(184\) 13.5604 0.340358i 0.999685 0.0250915i
\(185\) −19.8519 −1.45954
\(186\) 8.12424 + 9.66338i 0.595698 + 0.708553i
\(187\) −4.36618 + 6.79390i −0.319286 + 0.496819i
\(188\) −2.66000 + 15.2556i −0.194001 + 1.11263i
\(189\) −3.35893 1.53397i −0.244326 0.111580i
\(190\) 0.667294 0.0858059i 0.0484106 0.00622502i
\(191\) −1.93310 0.567610i −0.139874 0.0410708i 0.211046 0.977476i \(-0.432313\pi\)
−0.350920 + 0.936405i \(0.614131\pi\)
\(192\) 3.70642 + 7.08960i 0.267488 + 0.511648i
\(193\) 6.06200 + 13.2739i 0.436352 + 0.955478i 0.992254 + 0.124229i \(0.0396459\pi\)
−0.555902 + 0.831248i \(0.687627\pi\)
\(194\) −3.36793 12.1368i −0.241803 0.871373i
\(195\) 8.58114 + 7.43560i 0.614508 + 0.532474i
\(196\) 8.98590 9.76592i 0.641850 0.697566i
\(197\) −0.719709 2.45110i −0.0512772 0.174634i 0.929873 0.367881i \(-0.119916\pi\)
−0.981150 + 0.193247i \(0.938098\pi\)
\(198\) 1.69459 + 3.86204i 0.120429 + 0.274463i
\(199\) −1.56789 + 1.00762i −0.111145 + 0.0714283i −0.595032 0.803702i \(-0.702861\pi\)
0.483888 + 0.875130i \(0.339224\pi\)
\(200\) −0.0706793 + 0.206120i −0.00499778 + 0.0145749i
\(201\) −1.70741 11.8753i −0.120431 0.837618i
\(202\) −4.30711 + 9.07079i −0.303047 + 0.638218i
\(203\) −4.63276 0.666090i −0.325156 0.0467504i
\(204\) 3.06274 4.46696i 0.214435 0.312749i
\(205\) −10.9968 + 9.52877i −0.768049 + 0.665518i
\(206\) 0.326508 21.8919i 0.0227489 1.52528i
\(207\) −4.78307 0.349618i −0.332446 0.0243001i
\(208\) −1.20172 + 20.1209i −0.0833241 + 1.39514i
\(209\) 0.412328 + 0.475852i 0.0285213 + 0.0329154i
\(210\) 6.50849 9.80283i 0.449128 0.676460i
\(211\) 6.27233 + 0.901825i 0.431805 + 0.0620842i 0.354791 0.934946i \(-0.384552\pi\)
0.0770143 + 0.997030i \(0.475461\pi\)
\(212\) −8.59563 4.23972i −0.590350 0.291185i
\(213\) −14.9512 + 2.14965i −1.02444 + 0.147292i
\(214\) −11.6576 3.61265i −0.796894 0.246956i
\(215\) 4.15702 2.67156i 0.283507 0.182199i
\(216\) −1.05872 2.62280i −0.0720371 0.178459i
\(217\) 31.6290 9.28710i 2.14711 0.630450i
\(218\) 16.9864 19.0226i 1.15046 1.28837i
\(219\) 12.0158 + 10.4118i 0.811955 + 0.703563i
\(220\) −13.0019 + 3.40001i −0.876591 + 0.229228i
\(221\) 12.4132 5.66892i 0.835002 0.381333i
\(222\) 6.57922 + 10.5812i 0.441568 + 0.710161i
\(223\) 18.7183 + 5.49620i 1.25347 + 0.368052i 0.840061 0.542492i \(-0.182519\pi\)
0.413411 + 0.910545i \(0.364337\pi\)
\(224\) 20.8401 1.42418i 1.39243 0.0951568i
\(225\) 0.0320034 0.0700777i 0.00213356 0.00467185i
\(226\) 6.28090 + 0.998876i 0.417799 + 0.0664442i
\(227\) −3.03396 + 4.72094i −0.201371 + 0.313340i −0.927222 0.374513i \(-0.877810\pi\)
0.725851 + 0.687852i \(0.241446\pi\)
\(228\) −0.266886 0.327233i −0.0176750 0.0216716i
\(229\) 14.9339i 0.986857i −0.869786 0.493429i \(-0.835743\pi\)
0.869786 0.493429i \(-0.164257\pi\)
\(230\) 3.49408 14.8773i 0.230393 0.980983i
\(231\) 11.0121 0.724546
\(232\) −2.22417 2.81167i −0.146024 0.184595i
\(233\) 12.1086 + 7.78170i 0.793259 + 0.509796i 0.873410 0.486986i \(-0.161904\pi\)
−0.0801510 + 0.996783i \(0.525540\pi\)
\(234\) 1.11929 7.03806i 0.0731703 0.460092i
\(235\) 15.8699 + 7.24754i 1.03524 + 0.472778i
\(236\) 5.86231 0.665113i 0.381604 0.0432951i
\(237\) 0.763551 2.60042i 0.0495980 0.168915i
\(238\) −7.46740 12.0096i −0.484040 0.778466i
\(239\) −11.3927 24.9466i −0.736933 1.61366i −0.788534 0.614991i \(-0.789160\pi\)
0.0516014 0.998668i \(-0.483567\pi\)
\(240\) 8.78383 2.01914i 0.566994 0.130335i
\(241\) 8.18095 9.44132i 0.526981 0.608169i −0.428384 0.903597i \(-0.640917\pi\)
0.955365 + 0.295428i \(0.0954623\pi\)
\(242\) 2.22207 + 1.98422i 0.142840 + 0.127550i
\(243\) 0.281733 + 0.959493i 0.0180732 + 0.0615515i
\(244\) 8.58801 3.61651i 0.549791 0.231523i
\(245\) −8.08329 12.5778i −0.516422 0.803569i
\(246\) 8.72338 + 2.70336i 0.556182 + 0.172360i
\(247\) −0.151415 1.05312i −0.00963432 0.0670082i
\(248\) 22.4756 + 11.5058i 1.42720 + 0.730617i
\(249\) 0.210730 1.46566i 0.0133545 0.0928825i
\(250\) −13.0690 8.67703i −0.826556 0.548783i
\(251\) −2.98029 + 2.58244i −0.188114 + 0.163002i −0.743827 0.668373i \(-0.766991\pi\)
0.555712 + 0.831375i \(0.312446\pi\)
\(252\) −7.38197 0.220247i −0.465021 0.0138742i
\(253\) 13.4082 4.97710i 0.842964 0.312907i
\(254\) −0.0252813 + 1.69508i −0.00158629 + 0.106359i
\(255\) −3.99586 4.61147i −0.250231 0.288781i
\(256\) 12.3348 + 10.1908i 0.770924 + 0.636928i
\(257\) −2.10570 + 14.6455i −0.131350 + 0.913559i 0.812447 + 0.583035i \(0.198135\pi\)
−0.943797 + 0.330525i \(0.892774\pi\)
\(258\) −2.80165 1.33032i −0.174423 0.0828221i
\(259\) 32.2025 4.63002i 2.00096 0.287695i
\(260\) 21.5886 + 7.04481i 1.33887 + 0.436900i
\(261\) 0.685261 + 1.06629i 0.0424166 + 0.0660015i
\(262\) 1.11523 + 2.54166i 0.0688994 + 0.157025i
\(263\) 22.7382 6.67655i 1.40210 0.411694i 0.508695 0.860947i \(-0.330128\pi\)
0.893404 + 0.449253i \(0.148310\pi\)
\(264\) 6.12126 + 5.80329i 0.376738 + 0.357168i
\(265\) −7.07111 + 8.16049i −0.434375 + 0.501295i
\(266\) −1.06243 + 0.294820i −0.0651417 + 0.0180766i
\(267\) 7.42976 3.39306i 0.454694 0.207652i
\(268\) −12.3648 20.5636i −0.755301 1.25612i
\(269\) 1.37834 4.69419i 0.0840388 0.286210i −0.906742 0.421686i \(-0.861438\pi\)
0.990781 + 0.135476i \(0.0432565\pi\)
\(270\) −3.16052 + 0.406405i −0.192343 + 0.0247330i
\(271\) −12.9654 + 28.3902i −0.787590 + 1.72458i −0.104165 + 0.994560i \(0.533217\pi\)
−0.683425 + 0.730021i \(0.739510\pi\)
\(272\) 2.17806 10.6110i 0.132065 0.643384i
\(273\) −15.6540 10.0602i −0.947421 0.608870i
\(274\) 9.21186 7.74464i 0.556509 0.467871i
\(275\) 0.229747i 0.0138543i
\(276\) −9.08769 + 3.06822i −0.547014 + 0.184685i
\(277\) 30.0507i 1.80557i 0.430091 + 0.902786i \(0.358481\pi\)
−0.430091 + 0.902786i \(0.641519\pi\)
\(278\) −17.9290 21.3256i −1.07531 1.27903i
\(279\) −7.50991 4.82632i −0.449606 0.288944i
\(280\) 4.38764 23.1208i 0.262212 1.38173i
\(281\) 6.32815 13.8567i 0.377506 0.826622i −0.621559 0.783368i \(-0.713500\pi\)
0.999064 0.0432542i \(-0.0137725\pi\)
\(282\) −1.39655 10.8607i −0.0831636 0.646745i
\(283\) −4.68166 + 15.9443i −0.278296 + 0.947788i 0.695149 + 0.718866i \(0.255338\pi\)
−0.973445 + 0.228922i \(0.926480\pi\)
\(284\) −25.8899 + 15.5675i −1.53628 + 0.923759i
\(285\) −0.432742 + 0.197627i −0.0256334 + 0.0117064i
\(286\) 5.68280 + 20.4788i 0.336031 + 1.21094i
\(287\) 15.6159 18.0217i 0.921777 1.06379i
\(288\) −3.98731 4.01265i −0.234954 0.236448i
\(289\) 9.27492 2.72336i 0.545584 0.160198i
\(290\) −3.69856 + 1.62286i −0.217187 + 0.0952977i
\(291\) 4.81512 + 7.49248i 0.282267 + 0.439217i
\(292\) 30.2297 + 9.86458i 1.76906 + 0.577281i
\(293\) −31.5248 + 4.53258i −1.84170 + 0.264796i −0.973043 0.230624i \(-0.925923\pi\)
−0.868653 + 0.495420i \(0.835014\pi\)
\(294\) −4.02513 + 8.47692i −0.234750 + 0.494384i
\(295\) 0.945957 6.57927i 0.0550757 0.383060i
\(296\) 20.3402 + 14.3967i 1.18225 + 0.836791i
\(297\) −1.95292 2.25379i −0.113320 0.130778i
\(298\) −15.8699 0.236692i −0.919316 0.0137112i
\(299\) −23.6068 5.17406i −1.36522 0.299223i
\(300\) 0.00459503 0.154011i 0.000265294 0.00889181i
\(301\) −6.12017 + 5.30316i −0.352761 + 0.305669i
\(302\) 3.09223 4.65740i 0.177938 0.268004i
\(303\) 1.01049 7.02810i 0.0580510 0.403754i
\(304\) −0.745934 0.396008i −0.0427822 0.0227126i
\(305\) −1.49406 10.3914i −0.0855496 0.595011i
\(306\) −1.13365 + 3.65813i −0.0648063 + 0.209121i
\(307\) −0.456124 0.709743i −0.0260324 0.0405072i 0.827993 0.560738i \(-0.189482\pi\)
−0.854026 + 0.520231i \(0.825846\pi\)
\(308\) 20.2979 8.54769i 1.15658 0.487050i
\(309\) 4.36168 + 14.8545i 0.248127 + 0.845043i
\(310\) 18.9470 21.2182i 1.07612 1.20511i
\(311\) −14.4322 + 16.6556i −0.818373 + 0.944453i −0.999237 0.0390551i \(-0.987565\pi\)
0.180864 + 0.983508i \(0.442111\pi\)
\(312\) −3.39987 13.8416i −0.192480 0.783625i
\(313\) 7.20180 + 15.7697i 0.407070 + 0.891358i 0.996504 + 0.0835423i \(0.0266234\pi\)
−0.589434 + 0.807816i \(0.700649\pi\)
\(314\) 16.2494 10.1036i 0.917005 0.570181i
\(315\) −2.34411 + 7.98330i −0.132076 + 0.449808i
\(316\) −0.611055 5.38584i −0.0343745 0.302977i
\(317\) 16.1806 + 7.38943i 0.908793 + 0.415032i 0.814267 0.580491i \(-0.197139\pi\)
0.0945257 + 0.995522i \(0.469867\pi\)
\(318\) 6.69306 + 1.06442i 0.375328 + 0.0596899i
\(319\) −3.17988 2.04358i −0.178039 0.114419i
\(320\) 14.6234 10.5398i 0.817471 0.589193i
\(321\) 8.62988 0.481673
\(322\) −2.19805 + 24.9480i −0.122493 + 1.39030i
\(323\) 0.571760i 0.0318136i
\(324\) 1.26406 + 1.54989i 0.0702257 + 0.0861048i
\(325\) 0.209887 0.326590i 0.0116424 0.0181159i
\(326\) −2.38638 + 15.0055i −0.132169 + 0.831077i
\(327\) −7.49129 + 16.4036i −0.414269 + 0.907123i
\(328\) 18.1776 1.78822i 1.00369 0.0987377i
\(329\) −27.4335 8.05520i −1.51246 0.444097i
\(330\) 8.07009 5.01787i 0.444244 0.276225i
\(331\) −16.5740 + 7.56908i −0.910988 + 0.416034i −0.815075 0.579355i \(-0.803304\pi\)
−0.0959130 + 0.995390i \(0.530577\pi\)
\(332\) −0.749229 2.86512i −0.0411193 0.157244i
\(333\) −6.65847 5.76960i −0.364882 0.316172i
\(334\) −10.1306 9.04624i −0.554323 0.494988i
\(335\) −25.9379 + 7.61604i −1.41714 + 0.416109i
\(336\) −13.7776 + 5.32396i −0.751632 + 0.290446i
\(337\) 6.02405 3.87142i 0.328151 0.210890i −0.366183 0.930543i \(-0.619335\pi\)
0.694334 + 0.719653i \(0.255699\pi\)
\(338\) 5.18820 16.7416i 0.282201 0.910625i
\(339\) −4.45131 + 0.640001i −0.241762 + 0.0347601i
\(340\) −10.9447 5.39840i −0.593562 0.292769i
\(341\) 26.3512 + 3.78873i 1.42700 + 0.205171i
\(342\) 0.248753 + 0.165157i 0.0134510 + 0.00893067i
\(343\) −0.881408 1.01720i −0.0475916 0.0549236i
\(344\) −6.19670 0.277428i −0.334104 0.0149579i
\(345\) 0.754026 + 10.7798i 0.0405954 + 0.580363i
\(346\) −30.4414 0.454020i −1.63654 0.0244083i
\(347\) −7.45661 + 6.46119i −0.400292 + 0.346855i −0.831625 0.555338i \(-0.812589\pi\)
0.431333 + 0.902193i \(0.358043\pi\)
\(348\) 2.09075 + 1.43351i 0.112076 + 0.0768443i
\(349\) −16.0875 2.31304i −0.861145 0.123814i −0.302428 0.953172i \(-0.597797\pi\)
−0.558717 + 0.829358i \(0.688706\pi\)
\(350\) −0.363424 0.172566i −0.0194258 0.00922404i
\(351\) 0.717153 + 4.98791i 0.0382788 + 0.266235i
\(352\) 15.7875 + 5.94545i 0.841474 + 0.316893i
\(353\) 6.65839 4.27909i 0.354391 0.227753i −0.351316 0.936257i \(-0.614266\pi\)
0.705707 + 0.708504i \(0.250629\pi\)
\(354\) −3.82029 + 1.67627i −0.203046 + 0.0890929i
\(355\) 9.58871 + 32.6561i 0.508916 + 1.73321i
\(356\) 11.0611 12.0212i 0.586235 0.637123i
\(357\) 7.55735 + 6.54848i 0.399978 + 0.346582i
\(358\) 30.9503 8.58860i 1.63577 0.453922i
\(359\) 10.3008 + 22.5555i 0.543653 + 1.19043i 0.959683 + 0.281084i \(0.0906938\pi\)
−0.416030 + 0.909351i \(0.636579\pi\)
\(360\) −5.51013 + 3.20232i −0.290409 + 0.168777i
\(361\) −18.1876 5.34036i −0.957242 0.281072i
\(362\) −0.877823 6.82664i −0.0461374 0.358800i
\(363\) −1.91614 0.875072i −0.100571 0.0459294i
\(364\) −36.6627 6.39257i −1.92165 0.335062i
\(365\) 19.3682 30.1376i 1.01378 1.57747i
\(366\) −5.04352 + 4.24022i −0.263629 + 0.221640i
\(367\) 21.1541 1.10423 0.552117 0.833767i \(-0.313820\pi\)
0.552117 + 0.833767i \(0.313820\pi\)
\(368\) −14.3691 + 12.7094i −0.749044 + 0.662521i
\(369\) −6.45777 −0.336178
\(370\) 21.4894 18.0666i 1.11718 0.939240i
\(371\) 9.56704 14.8866i 0.496696 0.772874i
\(372\) −17.5887 3.06681i −0.911933 0.159006i
\(373\) −8.98707 4.10426i −0.465333 0.212510i 0.168930 0.985628i \(-0.445969\pi\)
−0.634263 + 0.773118i \(0.718696\pi\)
\(374\) −1.45662 11.3278i −0.0753201 0.585748i
\(375\) 10.6432 + 3.12513i 0.549614 + 0.161381i
\(376\) −11.0043 18.9348i −0.567503 0.976485i
\(377\) 2.65333 + 5.80998i 0.136653 + 0.299229i
\(378\) 5.03201 1.39637i 0.258819 0.0718214i
\(379\) −25.1717 21.8114i −1.29298 1.12038i −0.985655 0.168774i \(-0.946019\pi\)
−0.307330 0.951603i \(-0.599435\pi\)
\(380\) −0.644245 + 0.700168i −0.0330491 + 0.0359179i
\(381\) −0.337722 1.15018i −0.0173020 0.0589253i
\(382\) 2.60911 1.14483i 0.133494 0.0585747i
\(383\) 0.684470 0.439882i 0.0349748 0.0224769i −0.523037 0.852310i \(-0.675201\pi\)
0.558011 + 0.829833i \(0.311565\pi\)
\(384\) −10.4642 4.30127i −0.533998 0.219498i
\(385\) −3.53124 24.5603i −0.179969 1.25171i
\(386\) −18.6422 8.85195i −0.948864 0.450552i
\(387\) 2.17074 + 0.312105i 0.110345 + 0.0158652i
\(388\) 14.6911 + 10.0729i 0.745827 + 0.511372i
\(389\) 4.01106 3.47560i 0.203369 0.176220i −0.547222 0.836988i \(-0.684315\pi\)
0.750591 + 0.660768i \(0.229769\pi\)
\(390\) −16.0559 0.239466i −0.813020 0.0121258i
\(391\) 12.1614 + 4.55765i 0.615027 + 0.230490i
\(392\) −0.839409 + 18.7493i −0.0423966 + 0.946981i
\(393\) −1.28525 1.48325i −0.0648321 0.0748203i
\(394\) 3.00975 + 1.99829i 0.151629 + 0.100673i
\(395\) −6.04454 0.869073i −0.304134 0.0437278i
\(396\) −5.34910 2.63840i −0.268802 0.132584i
\(397\) 17.0090 2.44553i 0.853657 0.122737i 0.298425 0.954433i \(-0.403539\pi\)
0.555232 + 0.831696i \(0.312629\pi\)
\(398\) 0.780206 2.51762i 0.0391082 0.126197i
\(399\) 0.655874 0.421505i 0.0328348 0.0211016i
\(400\) −0.111074 0.287444i −0.00555371 0.0143722i
\(401\) 0.982046 0.288355i 0.0490410 0.0143997i −0.257120 0.966379i \(-0.582774\pi\)
0.306161 + 0.951980i \(0.400955\pi\)
\(402\) 12.6556 + 11.3009i 0.631204 + 0.563639i
\(403\) −33.9975 29.4590i −1.69354 1.46746i
\(404\) −3.59268 13.7388i −0.178743 0.683529i
\(405\) 2.04961 0.936025i 0.101846 0.0465115i
\(406\) 5.62108 3.49511i 0.278969 0.173459i
\(407\) 25.2101 + 7.40236i 1.24962 + 0.366921i
\(408\) 0.749883 + 7.62272i 0.0371247 + 0.377381i
\(409\) 0.765633 1.67650i 0.0378581 0.0828977i −0.889758 0.456432i \(-0.849127\pi\)
0.927616 + 0.373535i \(0.121854\pi\)
\(410\) 3.23198 20.3226i 0.159616 1.00366i
\(411\) −4.60082 + 7.15901i −0.226942 + 0.353128i
\(412\) 19.5697 + 23.9948i 0.964132 + 1.18214i
\(413\) 10.8931i 0.536014i
\(414\) 5.49577 3.97448i 0.270102 0.195335i
\(415\) −3.33643 −0.163779
\(416\) −17.0107 22.8742i −0.834016 1.12150i
\(417\) 16.5732 + 10.6510i 0.811595 + 0.521580i
\(418\) −0.879398 0.139854i −0.0430128 0.00684049i
\(419\) −20.4854 9.35535i −1.00078 0.457039i −0.153475 0.988153i \(-0.549046\pi\)
−0.847300 + 0.531114i \(0.821774\pi\)
\(420\) 1.87595 + 16.5346i 0.0915368 + 0.806806i
\(421\) −6.39531 + 21.7804i −0.311688 + 1.06151i 0.643483 + 0.765460i \(0.277489\pi\)
−0.955171 + 0.296053i \(0.904329\pi\)
\(422\) −7.61042 + 4.73205i −0.370469 + 0.230353i
\(423\) 3.21652 + 7.04319i 0.156392 + 0.342451i
\(424\) 13.1631 3.23321i 0.639255 0.157018i
\(425\) −0.136622 + 0.157670i −0.00662712 + 0.00764810i
\(426\) 14.2280 15.9336i 0.689351 0.771984i
\(427\) 4.84714 + 16.5078i 0.234569 + 0.798870i
\(428\) 15.9069 6.69856i 0.768888 0.323787i
\(429\) −8.12469 12.6423i −0.392264 0.610374i
\(430\) −2.06860 + 6.67510i −0.0997569 + 0.321902i
\(431\) 4.39529 + 30.5699i 0.211713 + 1.47250i 0.767433 + 0.641130i \(0.221534\pi\)
−0.555719 + 0.831370i \(0.687557\pi\)
\(432\) 3.53299 + 1.87563i 0.169981 + 0.0902412i
\(433\) 2.56768 17.8586i 0.123395 0.858229i −0.830271 0.557360i \(-0.811814\pi\)
0.953665 0.300869i \(-0.0972767\pi\)
\(434\) −25.7859 + 38.8377i −1.23776 + 1.86427i
\(435\) 2.15839 1.87026i 0.103487 0.0896720i
\(436\) −1.07559 + 36.0505i −0.0515116 + 1.72650i
\(437\) 0.608074 0.809647i 0.0290881 0.0387307i
\(438\) −22.4824 0.335316i −1.07425 0.0160220i
\(439\) −15.8078 18.2432i −0.754466 0.870700i 0.240527 0.970642i \(-0.422680\pi\)
−0.994993 + 0.0999420i \(0.968134\pi\)
\(440\) 10.9801 15.5131i 0.523458 0.739560i
\(441\) 0.944331 6.56796i 0.0449681 0.312760i
\(442\) −8.27796 + 17.4334i −0.393742 + 0.829222i
\(443\) 4.71201 0.677484i 0.223874 0.0321883i −0.0294648 0.999566i \(-0.509380\pi\)
0.253339 + 0.967378i \(0.418471\pi\)
\(444\) −16.7515 5.46637i −0.794991 0.259422i
\(445\) −9.95000 15.4825i −0.471675 0.733941i
\(446\) −25.2642 + 11.0855i −1.19629 + 0.524912i
\(447\) 10.7683 3.16187i 0.509324 0.149551i
\(448\) −21.2629 + 20.5076i −1.00458 + 0.968892i
\(449\) −8.42199 + 9.71950i −0.397458 + 0.458692i −0.918839 0.394633i \(-0.870872\pi\)
0.521380 + 0.853324i \(0.325417\pi\)
\(450\) 0.0291325 + 0.104983i 0.00137332 + 0.00494896i
\(451\) 17.5180 8.00020i 0.824890 0.376715i
\(452\) −7.70802 + 4.63480i −0.362555 + 0.218003i
\(453\) −1.11371 + 3.79293i −0.0523264 + 0.178207i
\(454\) −1.01218 7.87146i −0.0475038 0.369426i
\(455\) −17.4175 + 38.1389i −0.816543 + 1.78798i
\(456\) 0.586706 + 0.111339i 0.0274750 + 0.00521394i
\(457\) −18.5504 11.9216i −0.867752 0.557670i 0.0293123 0.999570i \(-0.490668\pi\)
−0.897064 + 0.441900i \(0.854305\pi\)
\(458\) 13.5909 + 16.1657i 0.635060 + 0.755371i
\(459\) 2.70805i 0.126401i
\(460\) 9.75716 + 19.2843i 0.454930 + 0.899137i
\(461\) 4.98610i 0.232226i −0.993236 0.116113i \(-0.962957\pi\)
0.993236 0.116113i \(-0.0370434\pi\)
\(462\) −11.9205 + 10.0218i −0.554590 + 0.466258i
\(463\) −6.78229 4.35871i −0.315200 0.202567i 0.373469 0.927643i \(-0.378168\pi\)
−0.688669 + 0.725076i \(0.741805\pi\)
\(464\) 4.96645 + 1.01944i 0.230561 + 0.0473263i
\(465\) −8.35594 + 18.2969i −0.387497 + 0.848501i
\(466\) −20.1892 + 2.59609i −0.935248 + 0.120262i
\(467\) 11.9809 40.8031i 0.554409 1.88814i 0.105869 0.994380i \(-0.466238\pi\)
0.448540 0.893763i \(-0.351944\pi\)
\(468\) 5.19352 + 8.63722i 0.240071 + 0.399255i
\(469\) 40.2985 18.4037i 1.86081 0.849803i
\(470\) −23.7747 + 6.59740i −1.09664 + 0.304315i
\(471\) −8.86031 + 10.2253i −0.408261 + 0.471159i
\(472\) −5.74055 + 6.05509i −0.264230 + 0.278708i
\(473\) −6.27521 + 1.84257i −0.288535 + 0.0847214i
\(474\) 1.54003 + 3.50979i 0.0707360 + 0.161210i
\(475\) 0.00879389 + 0.0136836i 0.000403491 + 0.000627844i
\(476\) 19.0129 + 6.20432i 0.871456 + 0.284374i
\(477\) −4.74340 + 0.681998i −0.217185 + 0.0312266i
\(478\) 35.0356 + 16.6361i 1.60249 + 0.760915i
\(479\) 1.69123 11.7628i 0.0772745 0.537456i −0.914007 0.405697i \(-0.867029\pi\)
0.991282 0.131758i \(-0.0420623\pi\)
\(480\) −7.67079 + 10.1796i −0.350122 + 0.464633i
\(481\) −29.0742 33.5534i −1.32567 1.52990i
\(482\) −0.263471 + 17.6653i −0.0120008 + 0.804633i
\(483\) −3.73728 17.3104i −0.170052 0.787650i
\(484\) −4.21113 0.125642i −0.191415 0.00571101i
\(485\) 15.1664 13.1417i 0.688670 0.596736i
\(486\) −1.17818 0.782239i −0.0534432 0.0354831i
\(487\) 3.42009 23.7872i 0.154979 1.07790i −0.752738 0.658320i \(-0.771267\pi\)
0.907717 0.419583i \(-0.137824\pi\)
\(488\) −6.00510 + 11.7305i −0.271838 + 0.531015i
\(489\) −1.52901 10.6345i −0.0691440 0.480907i
\(490\) 20.1968 + 6.25894i 0.912396 + 0.282750i
\(491\) −14.8349 23.0835i −0.669488 1.04174i −0.995350 0.0963266i \(-0.969291\pi\)
0.325862 0.945418i \(-0.394346\pi\)
\(492\) −11.9032 + 5.01255i −0.536636 + 0.225983i
\(493\) −0.967032 3.29341i −0.0435529 0.148328i
\(494\) 1.12232 + 1.00218i 0.0504954 + 0.0450903i
\(495\) −4.40038 + 5.07831i −0.197783 + 0.228253i
\(496\) −34.8006 + 7.99963i −1.56259 + 0.359194i
\(497\) −23.1705 50.7363i −1.03934 2.27584i
\(498\) 1.10574 + 1.77833i 0.0495496 + 0.0796890i
\(499\) −1.33643 + 4.55146i −0.0598268 + 0.203752i −0.983983 0.178264i \(-0.942952\pi\)
0.924156 + 0.382016i \(0.124770\pi\)
\(500\) 22.0437 2.50098i 0.985824 0.111847i
\(501\) 8.73588 + 3.98954i 0.390290 + 0.178240i
\(502\) 0.875915 5.50773i 0.0390940 0.245822i
\(503\) −10.2482 6.58609i −0.456943 0.293659i 0.291849 0.956464i \(-0.405729\pi\)
−0.748792 + 0.662805i \(0.769366\pi\)
\(504\) 8.19130 6.47971i 0.364870 0.288629i
\(505\) −15.9988 −0.711935
\(506\) −9.98461 + 17.5900i −0.443870 + 0.781971i
\(507\) 12.3935i 0.550416i
\(508\) −1.51527 1.85790i −0.0672294 0.0824310i
\(509\) −6.00693 + 9.34697i −0.266252 + 0.414297i −0.948477 0.316846i \(-0.897376\pi\)
0.682225 + 0.731143i \(0.261013\pi\)
\(510\) 8.52222 + 1.35532i 0.377370 + 0.0600147i
\(511\) −24.3890 + 53.4045i −1.07891 + 2.36247i
\(512\) −22.6266 + 0.194107i −0.999963 + 0.00857838i
\(513\) −0.202581 0.0594833i −0.00894419 0.00262625i
\(514\) −11.0490 17.7698i −0.487352 0.783793i
\(515\) 31.7313 14.4912i 1.39825 0.638558i
\(516\) 4.24343 1.10966i 0.186807 0.0488499i
\(517\) −17.4509 15.1213i −0.767489 0.665033i
\(518\) −30.6450 + 34.3185i −1.34646 + 1.50787i
\(519\) 20.6557 6.06506i 0.906684 0.266226i
\(520\) −29.7806 + 12.0213i −1.30596 + 0.527167i
\(521\) 17.7133 11.3837i 0.776035 0.498727i −0.0916808 0.995788i \(-0.529224\pi\)
0.867715 + 0.497061i \(0.165588\pi\)
\(522\) −1.71218 0.530602i −0.0749402 0.0232238i
\(523\) 18.5017 2.66014i 0.809023 0.116320i 0.274624 0.961552i \(-0.411447\pi\)
0.534400 + 0.845232i \(0.320538\pi\)
\(524\) −3.52032 1.73637i −0.153786 0.0758535i
\(525\) 0.281583 + 0.0404855i 0.0122893 + 0.00176693i
\(526\) −18.5376 + 27.9207i −0.808279 + 1.21740i
\(527\) 15.8312 + 18.2701i 0.689616 + 0.795859i
\(528\) −11.9076 0.711176i −0.518210 0.0309500i
\(529\) −12.3741 19.3877i −0.538005 0.842942i
\(530\) 0.227728 15.2688i 0.00989186 0.663235i
\(531\) 2.22943 1.93181i 0.0967490 0.0838335i
\(532\) 0.881754 1.28602i 0.0382289 0.0557562i
\(533\) −32.2108 4.63121i −1.39520 0.200600i
\(534\) −4.95467 + 10.4345i −0.214409 + 0.451546i
\(535\) −2.76733 19.2472i −0.119642 0.832128i
\(536\) 32.0990 + 11.0069i 1.38647 + 0.475426i
\(537\) −19.1067 + 12.2791i −0.824514 + 0.529883i
\(538\) 2.78002 + 6.33577i 0.119855 + 0.273155i
\(539\) 5.57503 + 18.9868i 0.240134 + 0.817820i
\(540\) 3.05136 3.31623i 0.131310 0.142708i
\(541\) −4.70932 4.08065i −0.202470 0.175441i 0.547724 0.836659i \(-0.315494\pi\)
−0.750194 + 0.661218i \(0.770040\pi\)
\(542\) −11.8023 42.5313i −0.506952 1.82688i
\(543\) 2.02179 + 4.42709i 0.0867631 + 0.189985i
\(544\) 7.29900 + 13.4684i 0.312942 + 0.577452i
\(545\) 38.9871 + 11.4477i 1.67003 + 0.490364i
\(546\) 26.1006 3.35623i 1.11700 0.143633i
\(547\) −6.36652 2.90749i −0.272213 0.124315i 0.274632 0.961549i \(-0.411444\pi\)
−0.546845 + 0.837234i \(0.684171\pi\)
\(548\) −2.92351 + 16.7669i −0.124886 + 0.716246i
\(549\) 2.51896 3.91958i 0.107507 0.167284i
\(550\) −0.209086 0.248698i −0.00891548 0.0106045i
\(551\) −0.267612 −0.0114006
\(552\) 7.04497 11.5917i 0.299854 0.493377i
\(553\) 10.0078 0.425573
\(554\) −27.3483 32.5294i −1.16192 1.38204i
\(555\) −10.7327 + 16.7005i −0.455580 + 0.708896i
\(556\) 38.8157 + 6.76798i 1.64615 + 0.287026i
\(557\) −6.13447 2.80152i −0.259926 0.118704i 0.281190 0.959652i \(-0.409271\pi\)
−0.541116 + 0.840948i \(0.681998\pi\)
\(558\) 12.5216 1.61013i 0.530084 0.0681624i
\(559\) 10.6036 + 3.11350i 0.448485 + 0.131687i
\(560\) 16.2920 + 29.0210i 0.688465 + 1.22636i
\(561\) 3.35486 + 7.34612i 0.141642 + 0.310154i
\(562\) 5.76048 + 20.7587i 0.242991 + 0.875654i
\(563\) 10.7805 + 9.34135i 0.454344 + 0.393691i 0.851747 0.523953i \(-0.175543\pi\)
−0.397404 + 0.917644i \(0.630089\pi\)
\(564\) 11.3957 + 10.4856i 0.479847 + 0.441521i
\(565\) 2.85478 + 9.72250i 0.120102 + 0.409028i
\(566\) −9.44259 21.5200i −0.396902 0.904555i
\(567\) −3.10644 + 1.99639i −0.130458 + 0.0838403i
\(568\) 13.8579 40.4132i 0.581463 1.69570i
\(569\) −5.99943 41.7269i −0.251509 1.74928i −0.589164 0.808014i \(-0.700543\pi\)
0.337655 0.941270i \(-0.390366\pi\)
\(570\) 0.288582 0.607753i 0.0120874 0.0254560i
\(571\) 30.4480 + 4.37776i 1.27421 + 0.183203i 0.746020 0.665924i \(-0.231962\pi\)
0.528188 + 0.849127i \(0.322872\pi\)
\(572\) −24.7887 16.9962i −1.03647 0.710647i
\(573\) −1.52262 + 1.31935i −0.0636082 + 0.0551168i
\(574\) −0.502916 + 33.7198i −0.0209913 + 1.40744i
\(575\) 0.361148 0.0779711i 0.0150609 0.00325162i
\(576\) 7.96799 + 0.714891i 0.332000 + 0.0297871i
\(577\) −7.08329 8.17455i −0.294881 0.340311i 0.588905 0.808202i \(-0.299559\pi\)
−0.883786 + 0.467891i \(0.845014\pi\)
\(578\) −7.56150 + 11.3888i −0.314517 + 0.473713i
\(579\) 14.4441 + 2.07675i 0.600276 + 0.0863067i
\(580\) 2.52672 5.12268i 0.104916 0.212708i
\(581\) 5.41214 0.778149i 0.224533 0.0322830i
\(582\) −12.0310 3.72838i −0.498700 0.154546i
\(583\) 12.0225 7.72642i 0.497923 0.319996i
\(584\) −41.7006 + 16.8329i −1.72558 + 0.696551i
\(585\) 10.8945 3.19892i 0.450434 0.132259i
\(586\) 30.0001 33.5962i 1.23929 1.38785i
\(587\) 20.5766 + 17.8298i 0.849289 + 0.735913i 0.966355 0.257211i \(-0.0828037\pi\)
−0.117067 + 0.993124i \(0.537349\pi\)
\(588\) −3.35747 12.8393i −0.138460 0.529483i
\(589\) 1.71448 0.782975i 0.0706437 0.0322619i
\(590\) 4.96362 + 7.98284i 0.204349 + 0.328648i
\(591\) −2.45110 0.719709i −0.100825 0.0296049i
\(592\) −35.1199 + 2.92682i −1.44342 + 0.120292i
\(593\) −17.8842 + 39.1610i −0.734417 + 1.60815i 0.0581094 + 0.998310i \(0.481493\pi\)
−0.792526 + 0.609838i \(0.791234\pi\)
\(594\) 4.16512 + 0.662395i 0.170897 + 0.0271784i
\(595\) 12.1816 18.9550i 0.499399 0.777080i
\(596\) 17.3943 14.1865i 0.712497 0.581101i
\(597\) 1.86375i 0.0762783i
\(598\) 30.2627 15.8830i 1.23753 0.649505i
\(599\) −5.97461 −0.244116 −0.122058 0.992523i \(-0.538949\pi\)
−0.122058 + 0.992523i \(0.538949\pi\)
\(600\) 0.135187 + 0.170896i 0.00551897 + 0.00697679i
\(601\) 21.9797 + 14.1255i 0.896571 + 0.576191i 0.905772 0.423766i \(-0.139292\pi\)
−0.00920026 + 0.999958i \(0.502929\pi\)
\(602\) 1.79873 11.3104i 0.0733109 0.460977i
\(603\) −10.9132 4.98390i −0.444421 0.202960i
\(604\) 0.891277 + 7.85572i 0.0362655 + 0.319645i
\(605\) −1.33722 + 4.55416i −0.0543658 + 0.185153i
\(606\) 5.30223 + 8.52741i 0.215388 + 0.346402i
\(607\) −0.375766 0.822812i −0.0152519 0.0333969i 0.901853 0.432043i \(-0.142207\pi\)
−0.917105 + 0.398647i \(0.869480\pi\)
\(608\) 1.16786 0.250180i 0.0473629 0.0101461i
\(609\) −3.06501 + 3.53721i −0.124201 + 0.143335i
\(610\) 11.0742 + 9.88884i 0.448382 + 0.400387i
\(611\) 10.9926 + 37.4375i 0.444715 + 1.51456i
\(612\) −2.10200 4.99156i −0.0849683 0.201772i
\(613\) 11.4209 + 17.7713i 0.461286 + 0.717775i 0.991503 0.130087i \(-0.0415257\pi\)
−0.530216 + 0.847862i \(0.677889\pi\)
\(614\) 1.13966 + 0.353180i 0.0459931 + 0.0142532i
\(615\) 2.07080 + 14.4027i 0.0835027 + 0.580774i
\(616\) −14.1932 + 27.7253i −0.571860 + 1.11708i
\(617\) −6.88248 + 47.8687i −0.277078 + 1.92712i 0.0879474 + 0.996125i \(0.471969\pi\)
−0.365026 + 0.930997i \(0.618940\pi\)
\(618\) −18.2401 12.1103i −0.733725 0.487149i
\(619\) −1.20992 + 1.04840i −0.0486308 + 0.0421388i −0.678837 0.734289i \(-0.737516\pi\)
0.630206 + 0.776428i \(0.282970\pi\)
\(620\) −1.19974 + 40.2114i −0.0481827 + 1.61493i
\(621\) −2.88004 + 3.83476i −0.115572 + 0.153884i
\(622\) 0.464794 31.1637i 0.0186365 1.24955i
\(623\) 19.7512 + 22.7941i 0.791315 + 0.913226i
\(624\) 16.2771 + 11.8892i 0.651606 + 0.475947i
\(625\) 3.61185 25.1209i 0.144474 1.00484i
\(626\) −22.1474 10.5163i −0.885189 0.420317i
\(627\) 0.623234 0.0896075i 0.0248896 0.00357858i
\(628\) −8.39464 + 25.7251i −0.334983 + 1.02654i
\(629\) 12.8992 + 20.0715i 0.514324 + 0.800303i
\(630\) −4.72791 10.7751i −0.188365 0.429290i
\(631\) 7.75957 2.27842i 0.308904 0.0907023i −0.123607 0.992331i \(-0.539446\pi\)
0.432510 + 0.901629i \(0.357628\pi\)
\(632\) 5.56296 + 5.27398i 0.221283 + 0.209788i
\(633\) 4.14974 4.78905i 0.164937 0.190348i
\(634\) −24.2401 + 6.72656i −0.962699 + 0.267146i
\(635\) −2.45693 + 1.12204i −0.0975004 + 0.0445270i
\(636\) −8.21382 + 4.93894i −0.325699 + 0.195842i
\(637\) 9.42047 32.0832i 0.373253 1.27118i
\(638\) 5.30197 0.681770i 0.209907 0.0269915i
\(639\) −6.27480 + 13.7399i −0.248227 + 0.543542i
\(640\) −6.23758 + 24.7175i −0.246562 + 0.977044i
\(641\) 24.1109 + 15.4951i 0.952322 + 0.612020i 0.921863 0.387516i \(-0.126667\pi\)
0.0304588 + 0.999536i \(0.490303\pi\)
\(642\) −9.34171 + 7.85381i −0.368688 + 0.309965i
\(643\) 0.0544138i 0.00214587i 0.999999 + 0.00107294i \(0.000341526\pi\)
−0.999999 + 0.00107294i \(0.999658\pi\)
\(644\) −20.3251 29.0062i −0.800920 1.14300i
\(645\) 4.94146i 0.194570i
\(646\) −0.520343 0.618921i −0.0204726 0.0243511i
\(647\) −27.3843 17.5988i −1.07659 0.691880i −0.122820 0.992429i \(-0.539194\pi\)
−0.953766 + 0.300549i \(0.902830\pi\)
\(648\) −2.77883 0.527339i −0.109163 0.0207159i
\(649\) −3.65455 + 8.00236i −0.143454 + 0.314120i
\(650\) 0.0700213 + 0.544540i 0.00274646 + 0.0213586i
\(651\) 9.28710 31.6290i 0.363990 1.23964i
\(652\) −11.0728 18.4150i −0.433646 0.721186i
\(653\) 15.9162 7.26870i 0.622850 0.284446i −0.0788855 0.996884i \(-0.525136\pi\)
0.701735 + 0.712438i \(0.252409\pi\)
\(654\) −6.81928 24.5743i −0.266655 0.960930i
\(655\) −2.89596 + 3.34211i −0.113154 + 0.130587i
\(656\) −18.0495 + 18.4786i −0.704716 + 0.721468i
\(657\) 15.2552 4.47933i 0.595162 0.174755i
\(658\) 37.0271 16.2468i 1.44347 0.633366i
\(659\) −24.1148 37.5234i −0.939381 1.46171i −0.886298 0.463115i \(-0.846732\pi\)
−0.0530829 0.998590i \(-0.516905\pi\)
\(660\) −4.16911 + 12.7761i −0.162283 + 0.497310i
\(661\) 8.75569 1.25888i 0.340557 0.0489647i 0.0300853 0.999547i \(-0.490422\pi\)
0.310472 + 0.950583i \(0.399513\pi\)
\(662\) 11.0527 23.2769i 0.429573 0.904682i
\(663\) 1.94208 13.5075i 0.0754243 0.524587i
\(664\) 3.41850 + 2.41960i 0.132663 + 0.0938986i
\(665\) −1.15040 1.32763i −0.0446105 0.0514832i
\(666\) 12.4584 + 0.185812i 0.482754 + 0.00720008i
\(667\) −2.13320 + 5.69211i −0.0825980 + 0.220399i
\(668\) 19.1990 + 0.572816i 0.742830 + 0.0221629i
\(669\) 14.7436 12.7754i 0.570020 0.493925i
\(670\) 21.1462 31.8495i 0.816948 1.23045i
\(671\) −1.97742 + 13.7533i −0.0763375 + 0.530939i
\(672\) 10.0689 18.3017i 0.388416 0.706005i
\(673\) 5.94638 + 41.3580i 0.229216 + 1.59423i 0.701423 + 0.712745i \(0.252548\pi\)
−0.472207 + 0.881488i \(0.656543\pi\)
\(674\) −2.99767 + 9.67307i −0.115466 + 0.372593i
\(675\) −0.0416508 0.0648099i −0.00160314 0.00249453i
\(676\) 9.61993 + 22.8442i 0.369997 + 0.878622i
\(677\) −3.98473 13.5707i −0.153146 0.521566i 0.846801 0.531910i \(-0.178526\pi\)
−0.999946 + 0.0103441i \(0.996707\pi\)
\(678\) 4.23602 4.74380i 0.162683 0.182184i
\(679\) −21.5369 + 24.8549i −0.826510 + 0.953844i
\(680\) 16.7604 4.11682i 0.642733 0.157873i
\(681\) 2.33122 + 5.10467i 0.0893327 + 0.195611i
\(682\) −31.9728 + 19.8802i −1.22430 + 0.761254i
\(683\) −8.70812 + 29.6571i −0.333207 + 1.13480i 0.607144 + 0.794592i \(0.292315\pi\)
−0.940351 + 0.340206i \(0.889503\pi\)
\(684\) −0.419576 + 0.0476033i −0.0160429 + 0.00182016i
\(685\) 17.4420 + 7.96551i 0.666426 + 0.304346i
\(686\) 1.87983 + 0.298957i 0.0717723 + 0.0114142i
\(687\) −12.5632 8.07385i −0.479314 0.308037i
\(688\) 6.96030 5.33913i 0.265359 0.203552i
\(689\) −24.1488 −0.919994
\(690\) −10.6266 10.9827i −0.404547 0.418104i
\(691\) 25.9008i 0.985313i −0.870224 0.492656i \(-0.836026\pi\)
0.870224 0.492656i \(-0.163974\pi\)
\(692\) 33.3655 27.2124i 1.26837 1.03446i
\(693\) 5.95362 9.26401i 0.226159 0.351911i
\(694\) 2.19152 13.7802i 0.0831888 0.523088i
\(695\) 18.4403 40.3786i 0.699480 1.53165i
\(696\) −3.56780 + 0.350982i −0.135237 + 0.0133039i
\(697\) 16.7796 + 4.92692i 0.635571 + 0.186620i
\(698\) 19.5195 12.1370i 0.738824 0.459391i
\(699\) 13.0928 5.97927i 0.495214 0.226157i
\(700\) 0.550448 0.143942i 0.0208050 0.00544050i
\(701\) −32.5863 28.2362i −1.23077 1.06647i −0.995522 0.0945313i \(-0.969865\pi\)
−0.235247 0.971936i \(-0.575590\pi\)
\(702\) −5.31566 4.74667i −0.200627 0.179151i
\(703\) 1.78483 0.524073i 0.0673161 0.0197658i
\(704\) −22.5004 + 7.93186i −0.848017 + 0.298943i
\(705\) 14.6769 9.43230i 0.552766 0.355241i
\(706\) −3.31333 + 10.6917i −0.124699 + 0.402386i
\(707\) 25.9521 3.73136i 0.976031 0.140332i
\(708\) 2.60987 5.29127i 0.0980850 0.198858i
\(709\) −37.4679 5.38707i −1.40714 0.202316i −0.603465 0.797390i \(-0.706214\pi\)
−0.803671 + 0.595074i \(0.797123\pi\)
\(710\) −40.0990 26.6233i −1.50489 0.999156i
\(711\) −1.77480 2.04823i −0.0665603 0.0768146i
\(712\) −1.03326 + 23.0791i −0.0387230 + 0.864926i
\(713\) −2.98737 42.7082i −0.111878 1.59944i
\(714\) −14.1403 0.210896i −0.529187 0.00789260i
\(715\) −25.5906 + 22.1744i −0.957036 + 0.829276i
\(716\) −25.6869 + 37.4640i −0.959966 + 1.40009i
\(717\) −27.1457 3.90297i −1.01378 0.145759i
\(718\) −31.6775 15.0415i −1.18219 0.561346i
\(719\) 1.92573 + 13.3937i 0.0718174 + 0.499501i 0.993704 + 0.112040i \(0.0357386\pi\)
−0.921886 + 0.387461i \(0.873352\pi\)
\(720\) 3.05029 8.48106i 0.113677 0.316070i
\(721\) −48.0927 + 30.9073i −1.79107 + 1.15105i
\(722\) 24.5479 10.7712i 0.913577 0.400861i
\(723\) −3.51959 11.9866i −0.130895 0.445787i
\(724\) 7.16295 + 6.59084i 0.266209 + 0.244947i
\(725\) −0.0737971 0.0639456i −0.00274076 0.00237488i
\(726\) 2.87057 0.796573i 0.106537 0.0295636i
\(727\) 3.91823 + 8.57972i 0.145319 + 0.318204i 0.968269 0.249909i \(-0.0804007\pi\)
−0.822950 + 0.568113i \(0.807673\pi\)
\(728\) 45.5044 26.4458i 1.68651 0.980145i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) 6.46154 + 50.2499i 0.239152 + 1.85983i
\(731\) −5.40222 2.46711i −0.199808 0.0912494i
\(732\) 1.60063 9.17993i 0.0591610 0.339300i
\(733\) 15.5514 24.1985i 0.574406 0.893793i −0.425532 0.904943i \(-0.639913\pi\)
0.999938 + 0.0111506i \(0.00354941\pi\)
\(734\) −22.8989 + 19.2517i −0.845215 + 0.710594i
\(735\) −14.9513 −0.551487
\(736\) 3.98795 26.8346i 0.146998 0.989137i
\(737\) 35.7786 1.31792
\(738\) 6.99043 5.87703i 0.257321 0.216336i
\(739\) 26.7781 41.6676i 0.985050 1.53277i 0.145591 0.989345i \(-0.453492\pi\)
0.839459 0.543423i \(-0.182872\pi\)
\(740\) −6.81994 + 39.1137i −0.250706 + 1.43785i
\(741\) −0.967799 0.441979i −0.0355530 0.0162365i
\(742\) 3.19171 + 24.8212i 0.117171 + 0.911215i
\(743\) −6.82530 2.00409i −0.250396 0.0735229i 0.154126 0.988051i \(-0.450744\pi\)
−0.404522 + 0.914528i \(0.632562\pi\)
\(744\) 21.8305 12.6872i 0.800345 0.465136i
\(745\) −10.5049 23.0026i −0.384871 0.842751i
\(746\) 13.4635 3.73608i 0.492935 0.136788i
\(747\) −1.11906 0.969674i −0.0409444 0.0354785i
\(748\) 11.8859 + 10.9365i 0.434591 + 0.399880i
\(749\) 8.97796 + 30.5761i 0.328047 + 1.11723i
\(750\) −14.3652 + 6.30319i −0.524543 + 0.230160i
\(751\) 23.1362 14.8687i 0.844252 0.542568i −0.0455249 0.998963i \(-0.514496\pi\)
0.889777 + 0.456395i \(0.150860\pi\)
\(752\) 29.1439 + 10.4819i 1.06277 + 0.382234i
\(753\) 0.561218 + 3.90336i 0.0204519 + 0.142246i
\(754\) −8.15968 3.87449i −0.297158 0.141101i
\(755\) 8.81648 + 1.26762i 0.320865 + 0.0461334i
\(756\) −4.17628 + 6.09104i −0.151890 + 0.221529i
\(757\) −28.1014 + 24.3500i −1.02136 + 0.885015i −0.993412 0.114594i \(-0.963443\pi\)
−0.0279495 + 0.999609i \(0.508898\pi\)
\(758\) 47.0979 + 0.702445i 1.71067 + 0.0255140i
\(759\) 3.06200 13.9705i 0.111144 0.507097i
\(760\) 0.0601815 1.34423i 0.00218301 0.0487603i
\(761\) −12.0057 13.8553i −0.435206 0.502255i 0.495203 0.868777i \(-0.335094\pi\)
−0.930409 + 0.366523i \(0.880548\pi\)
\(762\) 1.41232 + 0.937695i 0.0511630 + 0.0339691i
\(763\) −65.9123 9.47676i −2.38619 0.343082i
\(764\) −1.78245 + 3.61374i −0.0644866 + 0.130741i
\(765\) −6.03974 + 0.868384i −0.218367 + 0.0313965i
\(766\) −0.340603 + 1.09908i −0.0123065 + 0.0397114i
\(767\) 12.5056 8.03686i 0.451551 0.290194i
\(768\) 15.2418 4.86709i 0.549990 0.175626i
\(769\) −21.0989 + 6.19519i −0.760845 + 0.223404i −0.639065 0.769153i \(-0.720678\pi\)
−0.121780 + 0.992557i \(0.538860\pi\)
\(770\) 26.1742 + 23.3725i 0.943251 + 0.842285i
\(771\) 11.1821 + 9.68937i 0.402714 + 0.348954i
\(772\) 28.2358 7.38366i 1.01623 0.265744i
\(773\) −18.4186 + 8.41150i −0.662471 + 0.302540i −0.718130 0.695909