Properties

Label 144.2.u.a.83.20
Level $144$
Weight $2$
Character 144.83
Analytic conductor $1.150$
Analytic rank $0$
Dimension $88$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 83.20
Character \(\chi\) \(=\) 144.83
Dual form 144.2.u.a.59.20

$q$-expansion

\(f(q)\) \(=\) \(q+(1.20346 - 0.742754i) q^{2} +(0.819834 - 1.52574i) q^{3} +(0.896632 - 1.78775i) q^{4} +(-0.206232 + 0.769670i) q^{5} +(-0.146610 - 2.44510i) q^{6} +(-2.17574 + 3.76849i) q^{7} +(-0.248799 - 2.81746i) q^{8} +(-1.65574 - 2.50170i) q^{9} +O(q^{10})\) \(q+(1.20346 - 0.742754i) q^{2} +(0.819834 - 1.52574i) q^{3} +(0.896632 - 1.78775i) q^{4} +(-0.206232 + 0.769670i) q^{5} +(-0.146610 - 2.44510i) q^{6} +(-2.17574 + 3.76849i) q^{7} +(-0.248799 - 2.81746i) q^{8} +(-1.65574 - 2.50170i) q^{9} +(0.323483 + 1.07945i) q^{10} +(1.05570 + 3.93991i) q^{11} +(-1.99255 - 2.83368i) q^{12} +(-0.454903 + 1.69772i) q^{13} +(0.180648 + 6.15127i) q^{14} +(1.00524 + 0.945658i) q^{15} +(-2.39210 - 3.20591i) q^{16} -6.68683i q^{17} +(-3.85077 - 1.78089i) q^{18} +(-0.708282 + 0.708282i) q^{19} +(1.19106 + 1.05880i) q^{20} +(3.96598 + 6.40914i) q^{21} +(4.19687 + 3.95740i) q^{22} +(3.88191 - 2.24122i) q^{23} +(-4.50268 - 1.93025i) q^{24} +(3.78027 + 2.18254i) q^{25} +(0.713532 + 2.38102i) q^{26} +(-5.17437 + 0.475249i) q^{27} +(4.78628 + 7.26863i) q^{28} +(-1.06907 - 3.98981i) q^{29} +(1.91215 + 0.391417i) q^{30} +(-4.94177 + 2.85313i) q^{31} +(-5.26000 - 2.08144i) q^{32} +(6.87676 + 1.61936i) q^{33} +(-4.96668 - 8.04734i) q^{34} +(-2.45179 - 2.45179i) q^{35} +(-5.95701 + 0.716953i) q^{36} +(-1.51665 + 1.51665i) q^{37} +(-0.326309 + 1.37847i) q^{38} +(2.21733 + 2.08591i) q^{39} +(2.21983 + 0.389559i) q^{40} +(1.36389 + 2.36233i) q^{41} +(9.53331 + 4.76740i) q^{42} +(-8.60436 + 2.30553i) q^{43} +(7.99014 + 1.64533i) q^{44} +(2.26695 - 0.758445i) q^{45} +(3.00704 - 5.58052i) q^{46} +(1.23164 - 2.13327i) q^{47} +(-6.85250 + 1.02141i) q^{48} +(-5.96768 - 10.3363i) q^{49} +(6.17049 - 0.181213i) q^{50} +(-10.2023 - 5.48209i) q^{51} +(2.62722 + 2.33548i) q^{52} +(1.68291 + 1.68291i) q^{53} +(-5.87416 + 4.41523i) q^{54} -3.25015 q^{55} +(11.1589 + 5.19247i) q^{56} +(0.499978 + 1.66133i) q^{57} +(-4.25002 - 4.00752i) q^{58} +(-1.00516 - 0.269331i) q^{59} +(2.59193 - 0.949206i) q^{60} +(1.97401 - 0.528935i) q^{61} +(-3.82804 + 7.10415i) q^{62} +(13.0301 - 0.796606i) q^{63} +(-7.87620 + 1.40197i) q^{64} +(-1.21287 - 0.700250i) q^{65} +(9.47869 - 3.15891i) q^{66} +(8.01120 + 2.14659i) q^{67} +(-11.9544 - 5.99563i) q^{68} +(-0.236992 - 7.76019i) q^{69} +(-4.77170 - 1.12955i) q^{70} -8.05218i q^{71} +(-6.63650 + 5.28742i) q^{72} -9.73126i q^{73} +(-0.698727 + 2.95172i) q^{74} +(6.42917 - 3.97837i) q^{75} +(0.631163 + 1.90130i) q^{76} +(-17.1444 - 4.59383i) q^{77} +(4.21779 + 0.863379i) q^{78} +(11.9835 + 6.91865i) q^{79} +(2.96082 - 1.17997i) q^{80} +(-3.51702 + 8.28436i) q^{81} +(3.39603 + 1.82994i) q^{82} +(3.05012 - 0.817277i) q^{83} +(15.0140 - 1.34354i) q^{84} +(5.14666 + 1.37904i) q^{85} +(-8.64256 + 9.16554i) q^{86} +(-6.96385 - 1.63987i) q^{87} +(10.8379 - 3.95463i) q^{88} +1.71120 q^{89} +(2.16485 - 2.59655i) q^{90} +(-5.40809 - 5.40809i) q^{91} +(-0.526101 - 8.94943i) q^{92} +(0.301697 + 9.87893i) q^{93} +(-0.102261 - 3.48211i) q^{94} +(-0.399073 - 0.691214i) q^{95} +(-7.48805 + 6.31895i) q^{96} +(3.66561 - 6.34903i) q^{97} +(-14.8592 - 8.00683i) q^{98} +(8.10851 - 9.16451i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} + O(q^{10}) \) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} - 8q^{10} - 6q^{11} - 16q^{12} - 2q^{13} - 6q^{14} - 2q^{16} - 10q^{18} - 8q^{19} - 48q^{20} + 2q^{21} - 2q^{22} - 12q^{23} - 16q^{27} + 8q^{28} - 6q^{29} - 34q^{30} - 6q^{32} - 8q^{33} + 2q^{34} - 26q^{36} - 8q^{37} - 6q^{38} - 32q^{39} - 2q^{40} + 48q^{42} - 2q^{43} + 6q^{45} - 40q^{46} + 42q^{48} - 24q^{49} + 72q^{50} - 12q^{51} - 2q^{52} - 38q^{54} - 16q^{55} + 36q^{56} + 16q^{58} - 42q^{59} + 70q^{60} - 2q^{61} - 44q^{64} - 12q^{65} + 104q^{66} - 2q^{67} + 96q^{68} - 10q^{69} - 16q^{70} - 10q^{72} + 78q^{74} - 56q^{75} - 14q^{76} - 6q^{77} + 12q^{78} - 8q^{81} - 36q^{82} + 54q^{83} + 158q^{84} + 8q^{85} + 54q^{86} + 48q^{87} + 22q^{88} + 64q^{90} + 20q^{91} + 108q^{92} - 34q^{93} + 6q^{94} - 58q^{96} - 4q^{97} + 46q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.20346 0.742754i 0.850975 0.525207i
\(3\) 0.819834 1.52574i 0.473331 0.880884i
\(4\) 0.896632 1.78775i 0.448316 0.893875i
\(5\) −0.206232 + 0.769670i −0.0922300 + 0.344207i −0.996585 0.0825742i \(-0.973686\pi\)
0.904355 + 0.426781i \(0.140353\pi\)
\(6\) −0.146610 2.44510i −0.0598534 0.998207i
\(7\) −2.17574 + 3.76849i −0.822352 + 1.42436i 0.0815745 + 0.996667i \(0.474005\pi\)
−0.903926 + 0.427688i \(0.859328\pi\)
\(8\) −0.248799 2.81746i −0.0879638 0.996124i
\(9\) −1.65574 2.50170i −0.551915 0.833901i
\(10\) 0.323483 + 1.07945i 0.102294 + 0.341351i
\(11\) 1.05570 + 3.93991i 0.318304 + 1.18793i 0.920874 + 0.389861i \(0.127477\pi\)
−0.602570 + 0.798066i \(0.705856\pi\)
\(12\) −1.99255 2.83368i −0.575199 0.818014i
\(13\) −0.454903 + 1.69772i −0.126167 + 0.470863i −0.999879 0.0155820i \(-0.995040\pi\)
0.873711 + 0.486445i \(0.161707\pi\)
\(14\) 0.180648 + 6.15127i 0.0482803 + 1.64400i
\(15\) 1.00524 + 0.945658i 0.259551 + 0.244168i
\(16\) −2.39210 3.20591i −0.598026 0.801477i
\(17\) 6.68683i 1.62180i −0.585188 0.810898i \(-0.698979\pi\)
0.585188 0.810898i \(-0.301021\pi\)
\(18\) −3.85077 1.78089i −0.907636 0.419759i
\(19\) −0.708282 + 0.708282i −0.162491 + 0.162491i −0.783669 0.621178i \(-0.786654\pi\)
0.621178 + 0.783669i \(0.286654\pi\)
\(20\) 1.19106 + 1.05880i 0.266330 + 0.236755i
\(21\) 3.96598 + 6.40914i 0.865447 + 1.39859i
\(22\) 4.19687 + 3.95740i 0.894776 + 0.843720i
\(23\) 3.88191 2.24122i 0.809433 0.467327i −0.0373258 0.999303i \(-0.511884\pi\)
0.846759 + 0.531977i \(0.178551\pi\)
\(24\) −4.50268 1.93025i −0.919106 0.394011i
\(25\) 3.78027 + 2.18254i 0.756053 + 0.436508i
\(26\) 0.713532 + 2.38102i 0.139935 + 0.466956i
\(27\) −5.17437 + 0.475249i −0.995809 + 0.0914618i
\(28\) 4.78628 + 7.26863i 0.904523 + 1.37364i
\(29\) −1.06907 3.98981i −0.198520 0.740888i −0.991327 0.131415i \(-0.958048\pi\)
0.792807 0.609473i \(-0.208619\pi\)
\(30\) 1.91215 + 0.391417i 0.349110 + 0.0714627i
\(31\) −4.94177 + 2.85313i −0.887568 + 0.512437i −0.873146 0.487459i \(-0.837924\pi\)
−0.0144215 + 0.999896i \(0.504591\pi\)
\(32\) −5.26000 2.08144i −0.929846 0.367949i
\(33\) 6.87676 + 1.61936i 1.19709 + 0.281894i
\(34\) −4.96668 8.04734i −0.851778 1.38011i
\(35\) −2.45179 2.45179i −0.414427 0.414427i
\(36\) −5.95701 + 0.716953i −0.992835 + 0.119492i
\(37\) −1.51665 + 1.51665i −0.249335 + 0.249335i −0.820698 0.571363i \(-0.806415\pi\)
0.571363 + 0.820698i \(0.306415\pi\)
\(38\) −0.326309 + 1.37847i −0.0529344 + 0.223617i
\(39\) 2.21733 + 2.08591i 0.355057 + 0.334013i
\(40\) 2.21983 + 0.389559i 0.350986 + 0.0615947i
\(41\) 1.36389 + 2.36233i 0.213005 + 0.368935i 0.952653 0.304058i \(-0.0983418\pi\)
−0.739649 + 0.672993i \(0.765008\pi\)
\(42\) 9.53331 + 4.76740i 1.47102 + 0.735625i
\(43\) −8.60436 + 2.30553i −1.31215 + 0.351590i −0.846033 0.533131i \(-0.821015\pi\)
−0.466120 + 0.884722i \(0.654348\pi\)
\(44\) 7.99014 + 1.64533i 1.20456 + 0.248042i
\(45\) 2.26695 0.758445i 0.337937 0.113062i
\(46\) 3.00704 5.58052i 0.443364 0.822803i
\(47\) 1.23164 2.13327i 0.179654 0.311169i −0.762108 0.647449i \(-0.775836\pi\)
0.941762 + 0.336280i \(0.109169\pi\)
\(48\) −6.85250 + 1.02141i −0.989073 + 0.147427i
\(49\) −5.96768 10.3363i −0.852525 1.47662i
\(50\) 6.17049 0.181213i 0.872639 0.0256274i
\(51\) −10.2023 5.48209i −1.42861 0.767647i
\(52\) 2.62722 + 2.33548i 0.364330 + 0.323873i
\(53\) 1.68291 + 1.68291i 0.231165 + 0.231165i 0.813179 0.582014i \(-0.197735\pi\)
−0.582014 + 0.813179i \(0.697735\pi\)
\(54\) −5.87416 + 4.41523i −0.799372 + 0.600837i
\(55\) −3.25015 −0.438250
\(56\) 11.1589 + 5.19247i 1.49117 + 0.693872i
\(57\) 0.499978 + 1.66133i 0.0662237 + 0.220048i
\(58\) −4.25002 4.00752i −0.558055 0.526213i
\(59\) −1.00516 0.269331i −0.130860 0.0350640i 0.192794 0.981239i \(-0.438245\pi\)
−0.323655 + 0.946175i \(0.604912\pi\)
\(60\) 2.59193 0.949206i 0.334616 0.122542i
\(61\) 1.97401 0.528935i 0.252747 0.0677232i −0.130221 0.991485i \(-0.541569\pi\)
0.382968 + 0.923762i \(0.374902\pi\)
\(62\) −3.82804 + 7.10415i −0.486162 + 0.902228i
\(63\) 13.0301 0.796606i 1.64164 0.100363i
\(64\) −7.87620 + 1.40197i −0.984525 + 0.175246i
\(65\) −1.21287 0.700250i −0.150438 0.0868553i
\(66\) 9.47869 3.15891i 1.16675 0.388835i
\(67\) 8.01120 + 2.14659i 0.978723 + 0.262248i 0.712507 0.701665i \(-0.247560\pi\)
0.266217 + 0.963913i \(0.414226\pi\)
\(68\) −11.9544 5.99563i −1.44968 0.727077i
\(69\) −0.236992 7.76019i −0.0285305 0.934217i
\(70\) −4.77170 1.12955i −0.570327 0.135007i
\(71\) 8.05218i 0.955618i −0.878464 0.477809i \(-0.841431\pi\)
0.878464 0.477809i \(-0.158569\pi\)
\(72\) −6.63650 + 5.28742i −0.782120 + 0.623128i
\(73\) 9.73126i 1.13896i −0.822006 0.569479i \(-0.807145\pi\)
0.822006 0.569479i \(-0.192855\pi\)
\(74\) −0.698727 + 2.95172i −0.0812254 + 0.343130i
\(75\) 6.42917 3.97837i 0.742377 0.459383i
\(76\) 0.631163 + 1.90130i 0.0723994 + 0.218094i
\(77\) −17.1444 4.59383i −1.95379 0.523516i
\(78\) 4.21779 + 0.863379i 0.477570 + 0.0977584i
\(79\) 11.9835 + 6.91865i 1.34824 + 0.778409i 0.988001 0.154449i \(-0.0493604\pi\)
0.360243 + 0.932858i \(0.382694\pi\)
\(80\) 2.96082 1.17997i 0.331030 0.131924i
\(81\) −3.51702 + 8.28436i −0.390780 + 0.920484i
\(82\) 3.39603 + 1.82994i 0.375028 + 0.202083i
\(83\) 3.05012 0.817277i 0.334794 0.0897078i −0.0875058 0.996164i \(-0.527890\pi\)
0.422300 + 0.906456i \(0.361223\pi\)
\(84\) 15.0140 1.34354i 1.63816 0.146592i
\(85\) 5.14666 + 1.37904i 0.558233 + 0.149578i
\(86\) −8.64256 + 9.16554i −0.931951 + 0.988346i
\(87\) −6.96385 1.63987i −0.746603 0.175812i
\(88\) 10.8379 3.95463i 1.15532 0.421565i
\(89\) 1.71120 0.181386 0.0906932 0.995879i \(-0.471092\pi\)
0.0906932 + 0.995879i \(0.471092\pi\)
\(90\) 2.16485 2.59655i 0.228195 0.273700i
\(91\) −5.40809 5.40809i −0.566922 0.566922i
\(92\) −0.526101 8.94943i −0.0548498 0.933042i
\(93\) 0.301697 + 9.87893i 0.0312845 + 1.02440i
\(94\) −0.102261 3.48211i −0.0105475 0.359152i
\(95\) −0.399073 0.691214i −0.0409440 0.0709171i
\(96\) −7.48805 + 6.31895i −0.764246 + 0.644925i
\(97\) 3.66561 6.34903i 0.372187 0.644646i −0.617715 0.786402i \(-0.711941\pi\)
0.989902 + 0.141756i \(0.0452748\pi\)
\(98\) −14.8592 8.00683i −1.50101 0.808812i
\(99\) 8.10851 9.16451i 0.814936 0.921068i
\(100\) 7.29134 4.80124i 0.729134 0.480124i
\(101\) −14.0255 + 3.75813i −1.39559 + 0.373948i −0.876760 0.480928i \(-0.840300\pi\)
−0.518833 + 0.854876i \(0.673633\pi\)
\(102\) −16.3500 + 0.980358i −1.61889 + 0.0970699i
\(103\) −7.43866 12.8841i −0.732953 1.26951i −0.955616 0.294616i \(-0.904808\pi\)
0.222663 0.974895i \(-0.428525\pi\)
\(104\) 4.89644 + 0.859280i 0.480136 + 0.0842594i
\(105\) −5.75084 + 1.73072i −0.561224 + 0.168901i
\(106\) 3.27530 + 0.775325i 0.318125 + 0.0753062i
\(107\) −0.0974799 + 0.0974799i −0.00942374 + 0.00942374i −0.711803 0.702379i \(-0.752121\pi\)
0.702379 + 0.711803i \(0.252121\pi\)
\(108\) −3.78988 + 9.67661i −0.364681 + 0.931132i
\(109\) 8.80665 + 8.80665i 0.843524 + 0.843524i 0.989315 0.145791i \(-0.0465728\pi\)
−0.145791 + 0.989315i \(0.546573\pi\)
\(110\) −3.91142 + 2.41406i −0.372939 + 0.230172i
\(111\) 1.07060 + 3.55740i 0.101617 + 0.337654i
\(112\) 17.2860 2.03940i 1.63338 0.192705i
\(113\) 7.22037 4.16868i 0.679235 0.392157i −0.120331 0.992734i \(-0.538396\pi\)
0.799567 + 0.600577i \(0.205062\pi\)
\(114\) 1.83566 + 1.62798i 0.171925 + 0.152474i
\(115\) 0.924424 + 3.45000i 0.0862030 + 0.321714i
\(116\) −8.09133 1.66616i −0.751262 0.154699i
\(117\) 5.00039 1.67296i 0.462286 0.154665i
\(118\) −1.40971 + 0.422456i −0.129775 + 0.0388903i
\(119\) 25.1993 + 14.5488i 2.31001 + 1.33369i
\(120\) 2.41425 3.06750i 0.220390 0.280023i
\(121\) −4.88210 + 2.81868i −0.443827 + 0.256244i
\(122\) 1.98278 2.10276i 0.179512 0.190375i
\(123\) 4.72247 0.144221i 0.425811 0.0130040i
\(124\) 0.669740 + 11.3929i 0.0601445 + 1.02311i
\(125\) −5.27664 + 5.27664i −0.471957 + 0.471957i
\(126\) 15.0895 10.6369i 1.34428 0.947606i
\(127\) 4.84829i 0.430216i −0.976590 0.215108i \(-0.930990\pi\)
0.976590 0.215108i \(-0.0690103\pi\)
\(128\) −8.43737 + 7.53729i −0.745765 + 0.666209i
\(129\) −3.53651 + 15.0181i −0.311373 + 1.32227i
\(130\) −1.97975 + 0.0581407i −0.173636 + 0.00509928i
\(131\) −5.49193 + 20.4961i −0.479832 + 1.79076i 0.122452 + 0.992474i \(0.460924\pi\)
−0.602284 + 0.798282i \(0.705742\pi\)
\(132\) 9.06093 10.8420i 0.788652 0.943671i
\(133\) −1.12812 4.21019i −0.0978201 0.365070i
\(134\) 11.2355 3.36701i 0.970603 0.290866i
\(135\) 0.701338 4.08057i 0.0603616 0.351200i
\(136\) −18.8399 + 1.66368i −1.61551 + 0.142659i
\(137\) −2.93860 + 5.08981i −0.251062 + 0.434852i −0.963818 0.266560i \(-0.914113\pi\)
0.712757 + 0.701411i \(0.247446\pi\)
\(138\) −6.04913 9.16305i −0.514936 0.780011i
\(139\) −1.86863 + 6.97384i −0.158496 + 0.591513i 0.840285 + 0.542145i \(0.182388\pi\)
−0.998781 + 0.0493686i \(0.984279\pi\)
\(140\) −6.58153 + 2.18483i −0.556241 + 0.184652i
\(141\) −2.24506 3.62809i −0.189068 0.305540i
\(142\) −5.98079 9.69047i −0.501897 0.813206i
\(143\) −7.16910 −0.599510
\(144\) −4.05951 + 11.2925i −0.338293 + 0.941041i
\(145\) 3.29131 0.273328
\(146\) −7.22794 11.7112i −0.598188 0.969224i
\(147\) −20.6630 + 0.631036i −1.70426 + 0.0520470i
\(148\) 1.35151 + 4.07126i 0.111094 + 0.334655i
\(149\) 1.16425 4.34504i 0.0953792 0.355960i −0.901698 0.432367i \(-0.857678\pi\)
0.997077 + 0.0764076i \(0.0243450\pi\)
\(150\) 4.78229 9.56311i 0.390473 0.780824i
\(151\) −4.23499 + 7.33521i −0.344638 + 0.596931i −0.985288 0.170902i \(-0.945332\pi\)
0.640650 + 0.767833i \(0.278665\pi\)
\(152\) 2.17178 + 1.81934i 0.176154 + 0.147568i
\(153\) −16.7285 + 11.0717i −1.35242 + 0.895093i
\(154\) −24.0447 + 7.20560i −1.93758 + 0.580644i
\(155\) −1.17682 4.39194i −0.0945241 0.352769i
\(156\) 5.71722 2.09374i 0.457744 0.167633i
\(157\) −4.38117 + 16.3507i −0.349655 + 1.30493i 0.537423 + 0.843313i \(0.319398\pi\)
−0.887079 + 0.461618i \(0.847269\pi\)
\(158\) 19.5605 0.574445i 1.55615 0.0457004i
\(159\) 3.94738 1.18797i 0.313048 0.0942121i
\(160\) 2.68680 3.61921i 0.212410 0.286123i
\(161\) 19.5052i 1.53723i
\(162\) 1.92065 + 12.5822i 0.150900 + 0.988549i
\(163\) 13.6982 13.6982i 1.07293 1.07293i 0.0758059 0.997123i \(-0.475847\pi\)
0.997123 0.0758059i \(-0.0241529\pi\)
\(164\) 5.44618 0.320159i 0.425275 0.0250002i
\(165\) −2.66458 + 4.95887i −0.207437 + 0.386047i
\(166\) 3.06366 3.24905i 0.237786 0.252175i
\(167\) −7.11859 + 4.10992i −0.550853 + 0.318035i −0.749466 0.662043i \(-0.769690\pi\)
0.198613 + 0.980078i \(0.436356\pi\)
\(168\) 17.0708 12.7686i 1.31704 0.985118i
\(169\) 8.58301 + 4.95540i 0.660232 + 0.381185i
\(170\) 7.21808 2.16308i 0.553602 0.165901i
\(171\) 2.94464 + 0.599176i 0.225183 + 0.0458202i
\(172\) −3.59323 + 17.4497i −0.273981 + 1.33052i
\(173\) −2.52258 9.41440i −0.191788 0.715764i −0.993075 0.117483i \(-0.962517\pi\)
0.801287 0.598281i \(-0.204149\pi\)
\(174\) −9.59873 + 3.19892i −0.727678 + 0.242509i
\(175\) −16.4497 + 9.49727i −1.24348 + 0.717926i
\(176\) 10.1056 12.8091i 0.761742 0.965524i
\(177\) −1.23499 + 1.31280i −0.0928277 + 0.0986761i
\(178\) 2.05936 1.27100i 0.154355 0.0952654i
\(179\) 2.59887 + 2.59887i 0.194248 + 0.194248i 0.797529 0.603281i \(-0.206140\pi\)
−0.603281 + 0.797529i \(0.706140\pi\)
\(180\) 0.676712 4.73279i 0.0504391 0.352761i
\(181\) 6.92926 6.92926i 0.515048 0.515048i −0.401021 0.916069i \(-0.631345\pi\)
0.916069 + 0.401021i \(0.131345\pi\)
\(182\) −10.5253 2.49154i −0.780188 0.184685i
\(183\) 0.811348 3.44546i 0.0599765 0.254696i
\(184\) −7.28037 10.3795i −0.536716 0.765188i
\(185\) −0.854536 1.48010i −0.0628267 0.108819i
\(186\) 7.70070 + 11.6648i 0.564643 + 0.855305i
\(187\) 26.3455 7.05926i 1.92657 0.516224i
\(188\) −2.70942 4.11462i −0.197605 0.300090i
\(189\) 9.46711 20.5336i 0.688631 1.49360i
\(190\) −0.993670 0.535435i −0.0720884 0.0388446i
\(191\) 6.96728 12.0677i 0.504135 0.873187i −0.495854 0.868406i \(-0.665145\pi\)
0.999989 0.00478132i \(-0.00152195\pi\)
\(192\) −4.31815 + 13.1664i −0.311635 + 0.950202i
\(193\) −1.34094 2.32257i −0.0965226 0.167182i 0.813720 0.581256i \(-0.197439\pi\)
−0.910243 + 0.414074i \(0.864105\pi\)
\(194\) −0.304350 10.3635i −0.0218511 0.744053i
\(195\) −2.06275 + 1.27643i −0.147716 + 0.0914070i
\(196\) −23.8296 + 1.40085i −1.70211 + 0.100060i
\(197\) 14.2363 + 14.2363i 1.01430 + 1.01430i 0.999896 + 0.0144009i \(0.00458410\pi\)
0.0144009 + 0.999896i \(0.495416\pi\)
\(198\) 2.95129 17.0518i 0.209739 1.21182i
\(199\) 7.90078 0.560072 0.280036 0.959990i \(-0.409654\pi\)
0.280036 + 0.959990i \(0.409654\pi\)
\(200\) 5.20869 11.1938i 0.368310 0.791520i
\(201\) 9.84299 10.4631i 0.694271 0.738012i
\(202\) −14.0878 + 14.9403i −0.991214 + 1.05119i
\(203\) 17.3615 + 4.65201i 1.21854 + 0.326507i
\(204\) −18.9484 + 13.3238i −1.32665 + 0.932855i
\(205\) −2.09950 + 0.562559i −0.146635 + 0.0392908i
\(206\) −18.5219 9.98044i −1.29048 0.695370i
\(207\) −12.0343 6.00048i −0.836442 0.417062i
\(208\) 6.53091 2.60275i 0.452837 0.180468i
\(209\) −3.53830 2.04284i −0.244749 0.141306i
\(210\) −5.63540 + 6.35431i −0.388880 + 0.438489i
\(211\) 13.2108 + 3.53982i 0.909469 + 0.243691i 0.683078 0.730345i \(-0.260641\pi\)
0.226391 + 0.974037i \(0.427307\pi\)
\(212\) 4.51757 1.49967i 0.310268 0.102998i
\(213\) −12.2855 6.60145i −0.841789 0.452324i
\(214\) −0.0449095 + 0.189717i −0.00306995 + 0.0129688i
\(215\) 7.09799i 0.484079i
\(216\) 2.62638 + 14.4604i 0.178702 + 0.983903i
\(217\) 24.8307i 1.68562i
\(218\) 17.1396 + 4.05727i 1.16084 + 0.274793i
\(219\) −14.8473 7.97802i −1.00329 0.539105i
\(220\) −2.91418 + 5.81045i −0.196474 + 0.391741i
\(221\) 11.3524 + 3.04186i 0.763643 + 0.204618i
\(222\) 3.93071 + 3.48599i 0.263812 + 0.233965i
\(223\) −24.3372 14.0511i −1.62974 0.940931i −0.984169 0.177230i \(-0.943286\pi\)
−0.645570 0.763701i \(-0.723380\pi\)
\(224\) 19.2883 15.2936i 1.28875 1.02185i
\(225\) −0.799096 13.0708i −0.0532731 0.871388i
\(226\) 5.59312 10.3798i 0.372049 0.690454i
\(227\) 0.489998 0.131295i 0.0325223 0.00871433i −0.242521 0.970146i \(-0.577974\pi\)
0.275044 + 0.961432i \(0.411308\pi\)
\(228\) 3.41833 + 0.595761i 0.226385 + 0.0394552i
\(229\) −14.6181 3.91690i −0.965988 0.258836i −0.258855 0.965916i \(-0.583345\pi\)
−0.707133 + 0.707080i \(0.750012\pi\)
\(230\) 3.67501 + 3.46531i 0.242323 + 0.228496i
\(231\) −21.0646 + 22.3917i −1.38595 + 1.47326i
\(232\) −10.9751 + 4.00471i −0.720554 + 0.262922i
\(233\) 15.4968 1.01523 0.507614 0.861584i \(-0.330527\pi\)
0.507614 + 0.861584i \(0.330527\pi\)
\(234\) 4.77517 5.72740i 0.312163 0.374412i
\(235\) 1.38791 + 1.38791i 0.0905371 + 0.0905371i
\(236\) −1.38275 + 1.55548i −0.0900096 + 0.101253i
\(237\) 20.3805 12.6114i 1.32385 0.819202i
\(238\) 41.1325 1.20797i 2.66622 0.0783007i
\(239\) −7.61709 13.1932i −0.492709 0.853397i 0.507256 0.861796i \(-0.330660\pi\)
−0.999965 + 0.00839869i \(0.997327\pi\)
\(240\) 0.627061 5.48481i 0.0404766 0.354043i
\(241\) −9.10697 + 15.7737i −0.586632 + 1.01608i 0.408038 + 0.912965i \(0.366213\pi\)
−0.994670 + 0.103111i \(0.967120\pi\)
\(242\) −3.78182 + 7.01837i −0.243105 + 0.451158i
\(243\) 9.75637 + 12.1578i 0.625871 + 0.779926i
\(244\) 0.824359 4.00330i 0.0527742 0.256285i
\(245\) 9.18628 2.46146i 0.586890 0.157257i
\(246\) 5.57618 3.68120i 0.355524 0.234705i
\(247\) −0.880265 1.52466i −0.0560099 0.0970121i
\(248\) 9.26810 + 13.2134i 0.588525 + 0.839051i
\(249\) 1.25364 5.32371i 0.0794463 0.337376i
\(250\) −2.43097 + 10.2695i −0.153748 + 0.649498i
\(251\) 2.18418 2.18418i 0.137864 0.137864i −0.634807 0.772671i \(-0.718920\pi\)
0.772671 + 0.634807i \(0.218920\pi\)
\(252\) 10.2591 24.0088i 0.646261 1.51241i
\(253\) 12.9283 + 12.9283i 0.812796 + 0.812796i
\(254\) −3.60109 5.83472i −0.225952 0.366103i
\(255\) 6.32346 6.72185i 0.395990 0.420939i
\(256\) −4.55568 + 15.3377i −0.284730 + 0.958608i
\(257\) 16.6777 9.62887i 1.04033 0.600633i 0.120400 0.992725i \(-0.461582\pi\)
0.919926 + 0.392093i \(0.128249\pi\)
\(258\) 6.89874 + 20.7005i 0.429497 + 1.28876i
\(259\) −2.41564 9.01529i −0.150101 0.560183i
\(260\) −2.33937 + 1.54044i −0.145081 + 0.0955340i
\(261\) −8.21121 + 9.28058i −0.508261 + 0.574453i
\(262\) 8.61429 + 28.7454i 0.532193 + 1.77590i
\(263\) −22.8254 13.1782i −1.40747 0.812605i −0.412329 0.911035i \(-0.635285\pi\)
−0.995144 + 0.0984300i \(0.968618\pi\)
\(264\) 2.85155 19.7779i 0.175501 1.21725i
\(265\) −1.64235 + 0.948214i −0.100889 + 0.0582483i
\(266\) −4.48478 4.22888i −0.274980 0.259289i
\(267\) 1.40290 2.61083i 0.0858559 0.159781i
\(268\) 11.0207 12.3973i 0.673194 0.757287i
\(269\) −0.605506 + 0.605506i −0.0369184 + 0.0369184i −0.725325 0.688407i \(-0.758310\pi\)
0.688407 + 0.725325i \(0.258310\pi\)
\(270\) −2.18683 5.43173i −0.133086 0.330564i
\(271\) 19.1084i 1.16075i 0.814349 + 0.580376i \(0.197094\pi\)
−0.814349 + 0.580376i \(0.802906\pi\)
\(272\) −21.4374 + 15.9956i −1.29983 + 0.969876i
\(273\) −12.6851 + 3.81759i −0.767735 + 0.231051i
\(274\) 0.243988 + 8.30804i 0.0147398 + 0.501907i
\(275\) −4.60819 + 17.1980i −0.277884 + 1.03708i
\(276\) −14.0858 6.53435i −0.847864 0.393322i
\(277\) −1.82792 6.82191i −0.109829 0.409889i 0.889019 0.457871i \(-0.151388\pi\)
−0.998848 + 0.0479819i \(0.984721\pi\)
\(278\) 2.93102 + 9.78067i 0.175791 + 0.586606i
\(279\) 15.3200 + 7.63877i 0.917183 + 0.457321i
\(280\) −6.29781 + 7.51782i −0.376366 + 0.449276i
\(281\) −11.8490 + 20.5230i −0.706849 + 1.22430i 0.259171 + 0.965831i \(0.416551\pi\)
−0.966020 + 0.258467i \(0.916783\pi\)
\(282\) −5.39662 2.69873i −0.321364 0.160707i
\(283\) −0.194826 + 0.727099i −0.0115812 + 0.0432215i −0.971475 0.237143i \(-0.923789\pi\)
0.959893 + 0.280365i \(0.0904555\pi\)
\(284\) −14.3953 7.21984i −0.854203 0.428419i
\(285\) −1.38178 + 0.0421989i −0.0818498 + 0.00249965i
\(286\) −8.62772 + 5.32488i −0.510168 + 0.314867i
\(287\) −11.8699 −0.700659
\(288\) 3.50209 + 16.6053i 0.206362 + 0.978476i
\(289\) −27.7137 −1.63022
\(290\) 3.96096 2.44463i 0.232596 0.143554i
\(291\) −6.68175 10.7979i −0.391691 0.632985i
\(292\) −17.3971 8.72536i −1.01809 0.510613i
\(293\) 5.31070 19.8198i 0.310255 1.15789i −0.618072 0.786121i \(-0.712086\pi\)
0.928327 0.371765i \(-0.121247\pi\)
\(294\) −24.3984 + 16.1070i −1.42294 + 0.939377i
\(295\) 0.414592 0.718095i 0.0241385 0.0418091i
\(296\) 4.65044 + 3.89576i 0.270301 + 0.226436i
\(297\) −7.33500 19.8848i −0.425620 1.15384i
\(298\) −1.82617 6.09384i −0.105787 0.353007i
\(299\) 2.03907 + 7.60993i 0.117923 + 0.440093i
\(300\) −1.34774 15.0609i −0.0778118 0.869541i
\(301\) 10.0325 37.4417i 0.578262 2.15810i
\(302\) 0.351624 + 11.9732i 0.0202337 + 0.688979i
\(303\) −5.76469 + 24.4803i −0.331173 + 1.40636i
\(304\) 3.96497 + 0.576403i 0.227407 + 0.0330590i
\(305\) 1.62842i 0.0932432i
\(306\) −11.9085 + 25.7495i −0.680763 + 1.47200i
\(307\) −15.3450 + 15.3450i −0.875783 + 0.875783i −0.993095 0.117312i \(-0.962572\pi\)
0.117312 + 0.993095i \(0.462572\pi\)
\(308\) −23.5849 + 26.5310i −1.34387 + 1.51174i
\(309\) −25.7563 + 0.786581i −1.46522 + 0.0447470i
\(310\) −4.67838 4.41144i −0.265714 0.250553i
\(311\) 0.576605 0.332903i 0.0326963 0.0188772i −0.483563 0.875310i \(-0.660658\pi\)
0.516259 + 0.856432i \(0.327324\pi\)
\(312\) 5.32531 6.76622i 0.301486 0.383062i
\(313\) 14.3283 + 8.27244i 0.809882 + 0.467586i 0.846915 0.531728i \(-0.178457\pi\)
−0.0370327 + 0.999314i \(0.511791\pi\)
\(314\) 6.87202 + 22.9316i 0.387811 + 1.29410i
\(315\) −2.07411 + 10.1932i −0.116863 + 0.574320i
\(316\) 23.1136 15.2199i 1.30024 0.856189i
\(317\) −1.75927 6.56570i −0.0988107 0.368767i 0.898759 0.438443i \(-0.144470\pi\)
−0.997570 + 0.0696766i \(0.977803\pi\)
\(318\) 3.86815 4.36161i 0.216915 0.244587i
\(319\) 14.5909 8.42404i 0.816931 0.471656i
\(320\) 0.545277 6.35120i 0.0304819 0.355043i
\(321\) 0.0688113 + 0.228646i 0.00384067 + 0.0127618i
\(322\) 14.4876 + 23.4738i 0.807362 + 1.30814i
\(323\) 4.73616 + 4.73616i 0.263527 + 0.263527i
\(324\) 11.6569 + 13.7156i 0.647605 + 0.761976i
\(325\) −5.42499 + 5.42499i −0.300924 + 0.300924i
\(326\) 6.31085 26.6597i 0.349526 1.47654i
\(327\) 20.6566 6.21664i 1.14231 0.343781i
\(328\) 6.31645 4.43047i 0.348768 0.244632i
\(329\) 5.35946 + 9.28286i 0.295477 + 0.511781i
\(330\) 0.476505 + 7.94693i 0.0262307 + 0.437464i
\(331\) 9.39568 2.51757i 0.516434 0.138378i 0.00881711 0.999961i \(-0.497193\pi\)
0.507616 + 0.861583i \(0.330527\pi\)
\(332\) 1.27375 6.18565i 0.0699059 0.339481i
\(333\) 6.30538 + 1.28302i 0.345532 + 0.0703090i
\(334\) −5.51427 + 10.2335i −0.301728 + 0.559951i
\(335\) −3.30434 + 5.72328i −0.180535 + 0.312696i
\(336\) 11.0601 28.0459i 0.603377 1.53003i
\(337\) 13.5580 + 23.4832i 0.738553 + 1.27921i 0.953147 + 0.302509i \(0.0978241\pi\)
−0.214593 + 0.976704i \(0.568843\pi\)
\(338\) 14.0100 0.411440i 0.762041 0.0223794i
\(339\) −0.440806 14.4340i −0.0239413 0.783948i
\(340\) 7.08004 7.96444i 0.383969 0.431933i
\(341\) −16.4581 16.4581i −0.891254 0.891254i
\(342\) 3.98880 1.46606i 0.215690 0.0792756i
\(343\) 21.4761 1.15960
\(344\) 8.63651 + 23.6689i 0.465649 + 1.27614i
\(345\) 6.02166 + 1.41800i 0.324195 + 0.0763425i
\(346\) −10.0284 9.45620i −0.539131 0.508368i
\(347\) −30.1679 8.08347i −1.61950 0.433944i −0.668645 0.743582i \(-0.733125\pi\)
−0.950854 + 0.309638i \(0.899792\pi\)
\(348\) −9.17568 + 10.9793i −0.491868 + 0.588551i
\(349\) −31.6714 + 8.48634i −1.69533 + 0.454263i −0.971757 0.235982i \(-0.924169\pi\)
−0.723576 + 0.690245i \(0.757503\pi\)
\(350\) −12.7425 + 23.6477i −0.681114 + 1.26402i
\(351\) 1.54700 9.00083i 0.0825726 0.480429i
\(352\) 2.64771 22.9213i 0.141123 1.22171i
\(353\) −3.48989 2.01489i −0.185748 0.107242i 0.404243 0.914652i \(-0.367535\pi\)
−0.589990 + 0.807410i \(0.700869\pi\)
\(354\) −0.511175 + 2.49720i −0.0271687 + 0.132725i
\(355\) 6.19752 + 1.66062i 0.328930 + 0.0881366i
\(356\) 1.53431 3.05919i 0.0813184 0.162137i
\(357\) 42.8569 26.5198i 2.26823 1.40358i
\(358\) 5.05795 + 1.19731i 0.267321 + 0.0632799i
\(359\) 14.8043i 0.781342i 0.920530 + 0.390671i \(0.127757\pi\)
−0.920530 + 0.390671i \(0.872243\pi\)
\(360\) −2.70091 6.19836i −0.142350 0.326682i
\(361\) 17.9967i 0.947193i
\(362\) 3.19235 13.4858i 0.167786 0.708800i
\(363\) 0.298054 + 9.75965i 0.0156438 + 0.512249i
\(364\) −14.5174 + 4.81925i −0.760918 + 0.252597i
\(365\) 7.48986 + 2.00690i 0.392037 + 0.105046i
\(366\) −1.58271 4.74911i −0.0827296 0.248240i
\(367\) −2.66934 1.54114i −0.139338 0.0804470i 0.428710 0.903442i \(-0.358968\pi\)
−0.568049 + 0.822995i \(0.692301\pi\)
\(368\) −16.4711 7.08380i −0.858613 0.369269i
\(369\) 3.65160 7.32348i 0.190094 0.381245i
\(370\) −2.12775 1.14653i −0.110616 0.0596052i
\(371\) −10.0036 + 2.68045i −0.519361 + 0.139162i
\(372\) 17.9316 + 8.31840i 0.929709 + 0.431289i
\(373\) 28.2816 + 7.57804i 1.46437 + 0.392376i 0.900996 0.433828i \(-0.142837\pi\)
0.563372 + 0.826204i \(0.309504\pi\)
\(374\) 26.4625 28.0638i 1.36834 1.45114i
\(375\) 3.72479 + 12.3767i 0.192347 + 0.639131i
\(376\) −6.31683 2.93935i −0.325766 0.151585i
\(377\) 7.25990 0.373904
\(378\) −3.85813 31.7431i −0.198441 1.63269i
\(379\) −13.0654 13.0654i −0.671124 0.671124i 0.286851 0.957975i \(-0.407392\pi\)
−0.957975 + 0.286851i \(0.907392\pi\)
\(380\) −1.59354 + 0.0936778i −0.0817468 + 0.00480557i
\(381\) −7.39721 3.97479i −0.378970 0.203635i
\(382\) −0.578483 19.6980i −0.0295978 1.00784i
\(383\) 1.66394 + 2.88203i 0.0850235 + 0.147265i 0.905401 0.424557i \(-0.139570\pi\)
−0.820378 + 0.571822i \(0.806237\pi\)
\(384\) 4.58267 + 19.0525i 0.233859 + 0.972271i
\(385\) 7.07147 12.2481i 0.360396 0.624223i
\(386\) −3.33886 1.79913i −0.169943 0.0915734i
\(387\) 20.0144 + 17.7082i 1.01739 + 0.900157i
\(388\) −8.06378 12.2459i −0.409376 0.621694i
\(389\) −6.62255 + 1.77451i −0.335777 + 0.0899711i −0.422768 0.906238i \(-0.638941\pi\)
0.0869912 + 0.996209i \(0.472275\pi\)
\(390\) −1.53436 + 3.06825i −0.0776954 + 0.155367i
\(391\) −14.9867 25.9577i −0.757908 1.31274i
\(392\) −27.6374 + 19.3854i −1.39590 + 0.979110i
\(393\) 26.7693 + 25.1827i 1.35033 + 1.27030i
\(394\) 27.7070 + 6.55876i 1.39586 + 0.330426i
\(395\) −7.79645 + 7.79645i −0.392282 + 0.392282i
\(396\) −9.11351 22.7132i −0.457971 1.14138i
\(397\) 2.33820 + 2.33820i 0.117351 + 0.117351i 0.763344 0.645993i \(-0.223556\pi\)
−0.645993 + 0.763344i \(0.723556\pi\)
\(398\) 9.50828 5.86834i 0.476607 0.294153i
\(399\) −7.34851 1.73045i −0.367886 0.0866307i
\(400\) −2.04577 17.3400i −0.102289 0.867002i
\(401\) 3.32787 1.92135i 0.166186 0.0959474i −0.414600 0.910004i \(-0.636079\pi\)
0.580786 + 0.814056i \(0.302745\pi\)
\(402\) 4.07411 19.9029i 0.203198 0.992665i
\(403\) −2.59579 9.68764i −0.129306 0.482575i
\(404\) −5.85714 + 28.4438i −0.291404 + 1.41513i
\(405\) −5.65090 4.41545i −0.280795 0.219405i
\(406\) 24.3492 7.29686i 1.20843 0.362137i
\(407\) −7.57656 4.37433i −0.375556 0.216828i
\(408\) −12.9073 + 30.1087i −0.639005 + 1.49060i
\(409\) 4.36888 2.52237i 0.216027 0.124723i −0.388082 0.921625i \(-0.626862\pi\)
0.604109 + 0.796901i \(0.293529\pi\)
\(410\) −2.10882 + 2.23643i −0.104147 + 0.110449i
\(411\) 5.35654 + 8.65634i 0.264219 + 0.426986i
\(412\) −29.7034 + 1.74614i −1.46338 + 0.0860262i
\(413\) 3.20193 3.20193i 0.157557 0.157557i
\(414\) −18.9397 + 1.71719i −0.930835 + 0.0843954i
\(415\) 2.51613i 0.123512i
\(416\) 5.92649 7.98316i 0.290570 0.391407i
\(417\) 9.10827 + 8.56844i 0.446034 + 0.419598i
\(418\) −5.77552 + 0.169614i −0.282490 + 0.00829607i
\(419\) 5.72083 21.3504i 0.279481 1.04304i −0.673298 0.739371i \(-0.735123\pi\)
0.952779 0.303665i \(-0.0982103\pi\)
\(420\) −2.06228 + 11.8329i −0.100629 + 0.577385i
\(421\) 2.13099 + 7.95298i 0.103858 + 0.387604i 0.998213 0.0597538i \(-0.0190316\pi\)
−0.894355 + 0.447358i \(0.852365\pi\)
\(422\) 18.5279 5.55234i 0.901923 0.270284i
\(423\) −7.37608 + 0.450943i −0.358637 + 0.0219256i
\(424\) 4.32283 5.16024i 0.209935 0.250603i
\(425\) 14.5943 25.2780i 0.707926 1.22616i
\(426\) −19.6884 + 1.18053i −0.953904 + 0.0571969i
\(427\) −2.30165 + 8.58988i −0.111385 + 0.415693i
\(428\) 0.0868662 + 0.261673i 0.00419884 + 0.0126485i
\(429\) −5.87747 + 10.9382i −0.283767 + 0.528099i
\(430\) −5.27207 8.54215i −0.254242 0.411939i
\(431\) −1.08094 −0.0520671 −0.0260336 0.999661i \(-0.508288\pi\)
−0.0260336 + 0.999661i \(0.508288\pi\)
\(432\) 13.9012 + 15.4517i 0.668824 + 0.743421i
\(433\) −15.5307 −0.746359 −0.373179 0.927759i \(-0.621732\pi\)
−0.373179 + 0.927759i \(0.621732\pi\)
\(434\) −18.4431 29.8827i −0.885297 1.43442i
\(435\) 2.69833 5.02167i 0.129375 0.240771i
\(436\) 23.6404 7.84777i 1.13217 0.375840i
\(437\) −1.16207 + 4.33690i −0.0555893 + 0.207462i
\(438\) −23.7939 + 1.42670i −1.13692 + 0.0681704i
\(439\) −2.26321 + 3.91999i −0.108017 + 0.187091i −0.914967 0.403529i \(-0.867783\pi\)
0.806950 + 0.590620i \(0.201117\pi\)
\(440\) 0.808634 + 9.15717i 0.0385501 + 0.436551i
\(441\) −15.9774 + 32.0437i −0.760831 + 1.52589i
\(442\) 15.9215 4.77127i 0.757308 0.226946i
\(443\) −6.82958 25.4883i −0.324483 1.21099i −0.914830 0.403838i \(-0.867676\pi\)
0.590347 0.807149i \(-0.298991\pi\)
\(444\) 7.31968 + 1.27571i 0.347377 + 0.0605423i
\(445\) −0.352904 + 1.31706i −0.0167293 + 0.0624345i
\(446\) −39.7254 + 1.16664i −1.88105 + 0.0552420i
\(447\) −5.67490 5.33856i −0.268414 0.252505i
\(448\) 11.8533 32.7317i 0.560014 1.54643i
\(449\) 5.94688i 0.280650i 0.990105 + 0.140325i \(0.0448148\pi\)
−0.990105 + 0.140325i \(0.955185\pi\)
\(450\) −10.6701 15.1367i −0.502993 0.713550i
\(451\) −7.86752 + 7.86752i −0.370467 + 0.370467i
\(452\) −0.978552 16.6460i −0.0460272 0.782962i
\(453\) 7.71961 + 12.4751i 0.362699 + 0.586133i
\(454\) 0.492173 0.521956i 0.0230988 0.0244966i
\(455\) 5.27777 3.04712i 0.247426 0.142851i
\(456\) 4.55633 1.82201i 0.213370 0.0853233i
\(457\) −18.2318 10.5261i −0.852846 0.492391i 0.00876413 0.999962i \(-0.497210\pi\)
−0.861610 + 0.507571i \(0.830544\pi\)
\(458\) −20.5015 + 6.14380i −0.957974 + 0.287081i
\(459\) 3.17791 + 34.6002i 0.148332 + 1.61500i
\(460\) 6.99660 + 1.44074i 0.326218 + 0.0671747i
\(461\) 10.2518 + 38.2603i 0.477475 + 1.78196i 0.611788 + 0.791021i \(0.290450\pi\)
−0.134314 + 0.990939i \(0.542883\pi\)
\(462\) −8.71883 + 42.5933i −0.405637 + 1.98162i
\(463\) 9.98020 5.76207i 0.463819 0.267786i −0.249829 0.968290i \(-0.580375\pi\)
0.713649 + 0.700504i \(0.247041\pi\)
\(464\) −10.2336 + 12.9714i −0.475085 + 0.602180i
\(465\) −7.66573 1.80515i −0.355490 0.0837118i
\(466\) 18.6498 11.5103i 0.863934 0.533205i
\(467\) −25.1476 25.1476i −1.16369 1.16369i −0.983661 0.180032i \(-0.942380\pi\)
−0.180032 0.983661i \(-0.557620\pi\)
\(468\) 1.49268 10.4395i 0.0689990 0.482565i
\(469\) −25.5197 + 25.5197i −1.17839 + 1.17839i
\(470\) 2.70116 + 0.639416i 0.124595 + 0.0294941i
\(471\) 21.3551 + 20.0894i 0.983990 + 0.925671i
\(472\) −0.508748 + 2.89901i −0.0234170 + 0.133438i
\(473\) −18.1672 31.4664i −0.835327 1.44683i
\(474\) 15.1599 30.3151i 0.696317 1.39242i
\(475\) −4.22335 + 1.13164i −0.193780 + 0.0519233i
\(476\) 48.6041 32.0051i 2.22776 1.46695i
\(477\) 1.42367 6.99660i 0.0651853 0.320352i
\(478\) −18.9662 10.2199i −0.867493 0.467445i
\(479\) 2.64784 4.58619i 0.120983 0.209548i −0.799173 0.601101i \(-0.794729\pi\)
0.920155 + 0.391553i \(0.128062\pi\)
\(480\) −3.31922 7.06650i −0.151501 0.322540i
\(481\) −1.88491 3.26477i −0.0859447 0.148861i
\(482\) 0.756138 + 25.7473i 0.0344412 + 1.17276i
\(483\) 29.7598 + 15.9911i 1.35412 + 0.727618i
\(484\) 0.661654 + 11.2553i 0.0300752 + 0.511604i
\(485\) 4.13069 + 4.13069i 0.187565 + 0.187565i
\(486\) 20.7717 + 7.38489i 0.942223 + 0.334986i
\(487\) 1.85543 0.0840775 0.0420387 0.999116i \(-0.486615\pi\)
0.0420387 + 0.999116i \(0.486615\pi\)
\(488\) −1.98139 5.43011i −0.0896933 0.245810i
\(489\) −9.66962 32.1302i −0.437275 1.45298i
\(490\) 9.22707 9.78542i 0.416836 0.442060i
\(491\) −3.49505 0.936497i −0.157730 0.0422635i 0.179090 0.983833i \(-0.442685\pi\)
−0.336820 + 0.941569i \(0.609351\pi\)
\(492\) 3.97648 8.57191i 0.179274 0.386451i
\(493\) −26.6792 + 7.14866i −1.20157 + 0.321960i
\(494\) −2.19182 1.18105i −0.0986144 0.0531380i
\(495\) 5.38141 + 8.13090i 0.241877 + 0.365457i
\(496\) 20.9681 + 9.01786i 0.941495 + 0.404914i
\(497\) 30.3446 + 17.5194i 1.36114 + 0.785854i
\(498\) −2.44550 7.33802i −0.109585 0.328824i
\(499\) −12.0253 3.22216i −0.538325 0.144244i −0.0205953 0.999788i \(-0.506556\pi\)
−0.517730 + 0.855544i \(0.673223\pi\)
\(500\) 4.70211 + 14.1645i 0.210285 + 0.633456i
\(501\) 0.434592 + 14.2305i 0.0194162 + 0.635774i
\(502\) 1.00626 4.25088i 0.0449118 0.189726i
\(503\) 16.6233i 0.741198i −0.928793 0.370599i \(-0.879152\pi\)
0.928793 0.370599i \(-0.120848\pi\)
\(504\) −5.48629 36.5136i −0.244379 1.62645i
\(505\) 11.5701i 0.514862i
\(506\) 25.1613 + 5.95614i 1.11855 + 0.264783i
\(507\) 14.5973 9.03281i 0.648288 0.401161i
\(508\) −8.66753 4.34713i −0.384559 0.192873i
\(509\) 15.1091 + 4.04848i 0.669700 + 0.179446i 0.577620 0.816306i \(-0.303982\pi\)
0.0920802 + 0.995752i \(0.470648\pi\)
\(510\) 2.61734 12.7863i 0.115898 0.566185i
\(511\) 36.6722 + 21.1727i 1.62228 + 0.936624i
\(512\) 5.90958 + 21.8421i 0.261169 + 0.965293i
\(513\) 3.32830 4.00153i 0.146948 0.176672i
\(514\) 12.9191 23.9754i 0.569835 1.05751i
\(515\) 11.4506 3.06819i 0.504575 0.135200i
\(516\) 23.6777 + 19.7881i 1.04235 + 0.871124i
\(517\) 9.70511 + 2.60048i 0.426830 + 0.114369i
\(518\) −9.60328 9.05532i −0.421944 0.397868i
\(519\) −16.4320 3.86945i −0.721285 0.169850i
\(520\) −1.67117 + 3.59143i −0.0732856 + 0.157495i
\(521\) −40.4461 −1.77198 −0.885988 0.463709i \(-0.846518\pi\)
−0.885988 + 0.463709i \(0.846518\pi\)
\(522\) −2.98866 + 17.2677i −0.130810 + 0.755787i
\(523\) 7.69126 + 7.69126i 0.336315 + 0.336315i 0.854979 0.518663i \(-0.173570\pi\)
−0.518663 + 0.854979i \(0.673570\pi\)
\(524\) 31.7178 + 28.1957i 1.38560 + 1.23173i
\(525\) 1.00426 + 32.8842i 0.0438296 + 1.43518i
\(526\) −37.2576 + 1.09417i −1.62451 + 0.0477080i
\(527\) 19.0784 + 33.0448i 0.831069 + 1.43945i
\(528\) −11.2584 25.9199i −0.489959 1.12802i
\(529\) −1.45387 + 2.51818i −0.0632119 + 0.109486i
\(530\) −1.27222 + 2.36100i −0.0552616 + 0.102555i
\(531\) 0.990498 + 2.96055i 0.0429840 + 0.128477i
\(532\) −8.53827 1.75820i −0.370181 0.0762275i
\(533\) −4.63102 + 1.24088i −0.200592 + 0.0537484i
\(534\) −0.250879 4.18404i −0.0108566 0.181061i
\(535\) −0.0549239 0.0951309i −0.00237457 0.00411287i
\(536\) 4.05477 23.1053i 0.175139 0.997998i
\(537\) 6.09583 1.83455i 0.263054 0.0791666i
\(538\) −0.278960 + 1.17844i −0.0120268 + 0.0508063i
\(539\) 34.4241 34.4241i 1.48275 1.48275i
\(540\) −6.66620 4.91259i −0.286868 0.211404i
\(541\) −17.0176 17.0176i −0.731643 0.731643i 0.239302 0.970945i \(-0.423081\pi\)
−0.970945 + 0.239302i \(0.923081\pi\)
\(542\) 14.1928 + 22.9962i 0.609635 + 0.987771i
\(543\) −4.89138 16.2531i −0.209909 0.697486i
\(544\) −13.9182 + 35.1728i −0.596739 + 1.50802i
\(545\) −8.59443 + 4.96200i −0.368145 + 0.212549i
\(546\) −12.4304 + 14.0162i −0.531974 + 0.599838i
\(547\) −5.77510 21.5530i −0.246926 0.921539i −0.972406 0.233296i \(-0.925049\pi\)
0.725480 0.688243i \(-0.241618\pi\)
\(548\) 6.46447 + 9.81718i 0.276148 + 0.419369i
\(549\) −4.59170 4.06261i −0.195969 0.173388i
\(550\) 7.22812 + 24.1199i 0.308208 + 1.02847i
\(551\) 3.58311 + 2.06871i 0.152645 + 0.0881299i
\(552\) −21.8051 + 2.59845i −0.928086 + 0.110597i
\(553\) −52.1457 + 30.1064i −2.21746 + 1.28025i
\(554\) −7.26683 6.85219i −0.308738 0.291122i
\(555\) −2.95882 + 0.0903606i −0.125595 + 0.00383559i
\(556\) 10.7920 + 9.59362i 0.457683 + 0.406860i
\(557\) −11.6516 + 11.6516i −0.493695 + 0.493695i −0.909468 0.415773i \(-0.863511\pi\)
0.415773 + 0.909468i \(0.363511\pi\)
\(558\) 24.1107 2.18603i 1.02069 0.0925420i
\(559\) 15.6566i 0.662203i
\(560\) −1.99527 + 13.7251i −0.0843157 + 0.579992i
\(561\) 10.8284 45.9837i 0.457174 1.94143i
\(562\) 0.983800 + 33.4994i 0.0414991 + 1.41309i
\(563\) −1.30826 + 4.88249i −0.0551365 + 0.205772i −0.987999 0.154460i \(-0.950636\pi\)
0.932862 + 0.360233i \(0.117303\pi\)
\(564\) −8.49911 + 0.760552i −0.357877 + 0.0320250i
\(565\) 1.71944 + 6.41702i 0.0723372 + 0.269966i
\(566\) 0.305591 + 1.01974i 0.0128450 + 0.0428629i
\(567\) −23.5674 31.2785i −0.989737 1.31357i
\(568\) −22.6867 + 2.00338i −0.951913 + 0.0840598i
\(569\) 2.79764 4.84565i 0.117283 0.203140i −0.801407 0.598119i \(-0.795915\pi\)
0.918690 + 0.394979i \(0.129248\pi\)
\(570\) −1.63158 + 1.07711i −0.0683393 + 0.0451152i
\(571\) −2.31993 + 8.65808i −0.0970859 + 0.362329i −0.997327 0.0730613i \(-0.976723\pi\)
0.900242 + 0.435391i \(0.143390\pi\)
\(572\) −6.42804 + 12.8166i −0.268770 + 0.535887i
\(573\) −12.7001 20.5237i −0.530554 0.857392i
\(574\) −14.2850 + 8.81643i −0.596243 + 0.367991i
\(575\) 19.5662 0.815966
\(576\) 16.5483 + 17.3826i 0.689511 + 0.724275i
\(577\) 16.6893 0.694785 0.347393 0.937720i \(-0.387067\pi\)
0.347393 + 0.937720i \(0.387067\pi\)
\(578\) −33.3524 + 20.5845i −1.38728 + 0.856203i
\(579\) −4.64297 + 0.141794i −0.192955 + 0.00589274i
\(580\) 2.95109 5.88404i 0.122537 0.244321i
\(581\) −3.55636 + 13.2725i −0.147543 + 0.550637i
\(582\) −16.0614 8.03196i −0.665767 0.332935i
\(583\) −4.85387 + 8.40714i −0.201027 + 0.348188i
\(584\) −27.4175 + 2.42113i −1.13454 + 0.100187i
\(585\) 0.256384 + 4.19367i 0.0106002 + 0.173387i
\(586\) −8.33004 27.7969i −0.344111 1.14828i
\(587\) 1.34545 + 5.02128i 0.0555325 + 0.207250i 0.988118 0.153700i \(-0.0491190\pi\)
−0.932585 + 0.360950i \(0.882452\pi\)
\(588\) −17.3990 + 37.5061i −0.717521 + 1.54673i
\(589\) 1.47934 5.52099i 0.0609553 0.227488i
\(590\) −0.0344230 1.17214i −0.00141717 0.0482562i
\(591\) 33.3923 10.0495i 1.37358 0.413380i
\(592\) 8.49020 + 1.23425i 0.348945 + 0.0507275i
\(593\) 44.7927i 1.83942i −0.392602 0.919708i \(-0.628425\pi\)
0.392602 0.919708i \(-0.371575\pi\)
\(594\) −23.5969 18.4825i −0.968194 0.758346i
\(595\) −16.3947 + 16.3947i −0.672116 + 0.672116i
\(596\) −6.72395 5.97729i −0.275424 0.244840i
\(597\) 6.47733 12.0545i 0.265100 0.493358i
\(598\) 8.10625 + 7.64371i 0.331489 + 0.312575i
\(599\) −27.1165 + 15.6557i −1.10795 + 0.639674i −0.938297 0.345830i \(-0.887597\pi\)
−0.169651 + 0.985504i \(0.554264\pi\)
\(600\) −12.8085 17.1241i −0.522904 0.699090i
\(601\) 15.4248 + 8.90549i 0.629189 + 0.363262i 0.780438 0.625233i \(-0.214996\pi\)
−0.151249 + 0.988496i \(0.548330\pi\)
\(602\) −15.7363 52.5112i −0.641364 2.14020i
\(603\) −7.89436 23.5958i −0.321483 0.960897i
\(604\) 9.31630 + 14.1481i 0.379075 + 0.575677i
\(605\) −1.16261 4.33891i −0.0472667 0.176402i
\(606\) 11.2453 + 33.7428i 0.456808 + 1.37071i
\(607\) 29.3159 16.9255i 1.18989 0.686986i 0.231612 0.972808i \(-0.425600\pi\)
0.958283 + 0.285823i \(0.0922668\pi\)
\(608\) 5.19981 2.25132i 0.210880 0.0913031i
\(609\) 21.3313 22.6753i 0.864389 0.918848i
\(610\) 1.20952 + 1.95974i 0.0489720 + 0.0793476i
\(611\) 3.06141 + 3.06141i 0.123852 + 0.123852i
\(612\) 4.79414 + 39.8335i 0.193792 + 1.61018i
\(613\) −11.3734 + 11.3734i −0.459367 + 0.459367i −0.898448 0.439081i \(-0.855304\pi\)
0.439081 + 0.898448i \(0.355304\pi\)
\(614\) −7.06951 + 29.8646i −0.285302 + 1.20524i
\(615\) −0.862923 + 3.66448i −0.0347964 + 0.147766i
\(616\) −8.67744 + 49.4467i −0.349624 + 1.99226i
\(617\) 18.0269 + 31.2236i 0.725738 + 1.25701i 0.958670 + 0.284521i \(0.0918346\pi\)
−0.232932 + 0.972493i \(0.574832\pi\)
\(618\) −30.4124 + 20.0772i −1.22337 + 0.807623i
\(619\) 16.0209 4.29280i 0.643936 0.172542i 0.0779503 0.996957i \(-0.475162\pi\)
0.565986 + 0.824415i \(0.308496\pi\)
\(620\) −8.90686 1.83410i −0.357708 0.0736591i
\(621\) −19.0213 + 13.4418i −0.763298 + 0.539400i
\(622\) 0.446656 0.828912i 0.0179093 0.0332363i
\(623\) −3.72312 + 6.44863i −0.149163 + 0.258359i
\(624\) 1.38316 12.0983i 0.0553706 0.484318i
\(625\) 7.93964 + 13.7519i 0.317585 + 0.550074i
\(626\) 23.3879 0.686848i 0.934769 0.0274520i
\(627\) −6.01764 + 3.72372i −0.240322 + 0.148711i
\(628\) 25.3027 + 22.4930i 1.00969 + 0.897569i
\(629\) 10.1416 + 10.1416i 0.404371 + 0.404371i
\(630\) 5.07492 + 13.8076i 0.202189 + 0.550109i
\(631\) 24.4330 0.972664 0.486332 0.873774i \(-0.338335\pi\)
0.486332 + 0.873774i \(0.338335\pi\)
\(632\) 16.5116 35.4843i 0.656795 1.41149i
\(633\) 16.2315 17.2541i 0.645144 0.685790i
\(634\) −6.99392 6.59485i −0.277764 0.261915i
\(635\) 3.73158 + 0.999874i 0.148083 + 0.0396788i
\(636\) 1.41555 8.12210i 0.0561304 0.322062i
\(637\) 20.2629 5.42943i 0.802845 0.215122i
\(638\) 11.3025 20.9754i 0.447471 0.830425i
\(639\) −20.1441 + 13.3323i −0.796890 + 0.527420i
\(640\) −4.06117 8.04843i −0.160532 0.318142i
\(641\) −40.0952 23.1490i −1.58366 0.914329i −0.994318 0.106448i \(-0.966052\pi\)
−0.589346 0.807881i \(-0.700615\pi\)
\(642\) 0.252640 + 0.224056i 0.00997089 + 0.00884280i
\(643\) 10.5870 + 2.83678i 0.417511 + 0.111872i 0.461458 0.887162i \(-0.347326\pi\)
−0.0439466 + 0.999034i \(0.513993\pi\)
\(644\) 34.8705 + 17.4890i 1.37409 + 0.689163i
\(645\) −10.8297 5.81918i −0.426418 0.229130i
\(646\) 9.21759 + 2.18198i 0.362661 + 0.0858487i
\(647\) 10.0479i 0.395025i −0.980300 0.197512i \(-0.936714\pi\)
0.980300 0.197512i \(-0.0632863\pi\)
\(648\) 24.2159 + 7.84794i 0.951290 + 0.308296i
\(649\) 4.24456i 0.166614i
\(650\) −2.49932 + 10.5582i −0.0980316 + 0.414127i
\(651\) −37.8851 20.3570i −1.48483 0.797855i
\(652\) −12.2068 36.7713i −0.478053 1.44008i
\(653\) −25.5935 6.85777i −1.00155 0.268365i −0.279457 0.960158i \(-0.590154\pi\)
−0.722096 + 0.691793i \(0.756821\pi\)
\(654\) 20.2420 22.8243i 0.791524 0.892500i
\(655\) −14.6427 8.45394i −0.572136 0.330323i
\(656\) 4.31085 10.0235i 0.168310 0.391351i
\(657\) −24.3447 + 16.1125i −0.949778 + 0.628608i
\(658\) 13.3448 + 7.19079i 0.520234 + 0.280326i
\(659\) 6.76233 1.81196i 0.263423 0.0705840i −0.124690 0.992196i \(-0.539794\pi\)
0.388113 + 0.921612i \(0.373127\pi\)
\(660\) 6.47607 + 9.20988i 0.252081 + 0.358494i
\(661\) 20.1902 + 5.40993i 0.785306 + 0.210422i 0.629123 0.777306i \(-0.283414\pi\)
0.156183 + 0.987728i \(0.450081\pi\)
\(662\) 9.43740 10.0085i 0.366795 0.388990i
\(663\) 13.9481 14.8269i 0.541701 0.575830i
\(664\) −3.06151 8.39026i −0.118810 0.325605i
\(665\) 3.47311 0.134681
\(666\) 8.54124 3.13928i 0.330966 0.121645i
\(667\) −13.0920 13.0920i −0.506926 0.506926i
\(668\) 0.964757 + 16.4113i 0.0373276 + 0.634974i
\(669\) −41.3907 + 25.6126i −1.60026 + 0.990240i
\(670\) 0.274354 + 9.34205i 0.0105992 + 0.360915i
\(671\) 4.16791 + 7.21904i 0.160901 + 0.278688i
\(672\) −7.52084 41.9670i −0.290123 1.61891i
\(673\) 3.86200 6.68918i 0.148869 0.257849i −0.781941 0.623353i \(-0.785770\pi\)
0.930810 + 0.365504i \(0.119103\pi\)
\(674\) 33.7588 + 18.1908i 1.30034 + 0.700684i
\(675\) −20.5978 9.49670i −0.792808 0.365528i
\(676\) 16.5548 10.9011i 0.636724 0.419274i
\(677\) 7.62160 2.04220i 0.292922 0.0784882i −0.109366 0.994002i \(-0.534882\pi\)
0.402287 + 0.915513i \(0.368215\pi\)
\(678\) −11.2514 17.0433i −0.432108 0.654546i
\(679\) 15.9508 + 27.6277i 0.612137 + 1.06025i
\(680\) 2.60492 14.8436i 0.0998940 0.569227i
\(681\) 0.201396 0.855248i 0.00771752 0.0327732i
\(682\) −32.0309 7.58232i −1.22653 0.290342i
\(683\) −23.0318 + 23.0318i −0.881288 + 0.881288i −0.993666 0.112378i \(-0.964153\pi\)
0.112378 + 0.993666i \(0.464153\pi\)
\(684\) 3.71144 4.72705i 0.141910 0.180743i
\(685\) −3.31144 3.31144i −0.126524 0.126524i
\(686\) 25.8456 15.9515i 0.986790 0.609029i
\(687\) −17.9605 + 19.0921i −0.685237 + 0.728409i
\(688\) 27.9738 + 22.0697i 1.06649 + 0.841400i
\(689\) −3.62267 + 2.09155i −0.138013 + 0.0796816i
\(690\) 8.30005 2.76611i 0.315978 0.105304i
\(691\) −6.66520 24.8749i −0.253556 0.946285i −0.968888 0.247500i \(-0.920391\pi\)
0.715332 0.698785i \(-0.246276\pi\)
\(692\) −19.0924 3.93151i −0.725785 0.149453i
\(693\) 16.8944 + 50.4964i 0.641764 + 1.91820i
\(694\) −42.3099 + 12.6792i −1.60606 + 0.481297i
\(695\) −4.98218 2.87646i −0.188985 0.109111i
\(696\) −2.88766 + 20.0284i −0.109457 + 0.759174i
\(697\) 15.7965 9.12014i 0.598337 0.345450i
\(698\) −31.8120 + 33.7371i −1.20410 + 1.27697i
\(699\) 12.7048 23.6440i 0.480540 0.894299i
\(700\) 2.22938 + 37.9236i 0.0842625 + 1.43338i
\(701\) 35.0396 35.0396i 1.32343 1.32343i 0.412443 0.910983i \(-0.364675\pi\)
0.910983 0.412443i \(-0.135325\pi\)
\(702\) −4.82366 11.9812i −0.182057 0.452200i
\(703\) 2.14843i 0.0810295i
\(704\) −13.8385 29.5514i −0.521557 1.11376i
\(705\) 3.25543 0.979727i 0.122607 0.0368987i
\(706\) −5.69650 + 0.167293i −0.214391 + 0.00629616i
\(707\) 16.3534 61.0318i 0.615034 2.29534i
\(708\) 1.23963 + 3.38495i 0.0465880 + 0.127214i
\(709\) −12.2110 45.5722i −0.458595 1.71150i −0.677297 0.735710i \(-0.736849\pi\)
0.218702 0.975792i \(-0.429818\pi\)
\(710\) 8.69190 2.60474i 0.326201 0.0977543i
\(711\) −2.53314 41.4345i −0.0950000 1.55392i
\(712\) −0.425744 4.82123i −0.0159554 0.180683i
\(713\) −12.7890 + 22.1512i −0.478951 + 0.829568i
\(714\) 31.8788 63.7477i 1.19303 2.38570i
\(715\) 1.47850 5.51784i 0.0552928 0.206356i
\(716\) 6.97635 2.31590i 0.260719 0.0865492i
\(717\) −26.3741 + 0.805449i −0.984959 + 0.0300801i
\(718\) 10.9960 + 17.8164i 0.410366 + 0.664902i
\(719\) 26.0582 0.971806 0.485903 0.874013i \(-0.338491\pi\)
0.485903 + 0.874013i \(0.338491\pi\)
\(720\) −7.85429 5.45336i −0.292712 0.203235i
\(721\) 64.7383 2.41098
\(722\) 13.3671 + 21.6583i 0.497472 + 0.806038i
\(723\) 16.6004 + 26.8267i 0.617374 + 0.997695i
\(724\) −6.17480 18.6008i −0.229484 0.691293i
\(725\) 4.66655 17.4158i 0.173311 0.646807i
\(726\) 7.60772 + 11.5240i 0.282349 + 0.427695i
\(727\) −4.96698 + 8.60307i −0.184215 + 0.319070i −0.943312 0.331908i \(-0.892308\pi\)
0.759097 + 0.650978i \(0.225641\pi\)
\(728\) −13.8916 + 16.5826i −0.514856 + 0.614593i
\(729\) 26.5483 4.91824i 0.983269 0.182157i
\(730\) 10.5044 3.14790i 0.388785 0.116509i
\(731\) 15.4167 + 57.5359i 0.570207 + 2.12804i
\(732\) −5.43215 4.53980i −0.200778 0.167796i
\(733\) 3.40512 12.7081i 0.125771 0.469384i −0.874095 0.485755i \(-0.838545\pi\)
0.999866 + 0.0163712i \(0.00521135\pi\)
\(734\) −4.35713 + 0.127959i −0.160825 + 0.00472305i
\(735\) 3.77569 16.0338i 0.139269 0.591417i
\(736\) −25.0838 + 3.70888i −0.924601 + 0.136711i
\(737\) 33.8295i 1.24613i
\(738\) −1.04500 11.5258i −0.0384669 0.424269i
\(739\) −32.6637 + 32.6637i −1.20155 + 1.20155i −0.227861 + 0.973694i \(0.573173\pi\)
−0.973694 + 0.227861i \(0.926827\pi\)
\(740\) −3.41225 + 0.200593i −0.125437 + 0.00737393i
\(741\) −3.04791 + 0.0930813i −0.111968 + 0.00341943i
\(742\) −10.0480 + 10.6560i −0.368874 + 0.391195i
\(743\) −8.76936 + 5.06299i −0.321717 + 0.185743i −0.652157 0.758084i \(-0.726136\pi\)
0.330441 + 0.943827i \(0.392803\pi\)
\(744\) 27.7585 3.30789i 1.01767 0.121273i
\(745\) 3.10414 + 1.79218i 0.113727 + 0.0656603i
\(746\) 39.6644 11.8864i 1.45222 0.435193i
\(747\) −7.09480 6.27728i −0.259585 0.229674i
\(748\) 11.0020 53.4287i 0.402274 1.95355i
\(749\) −0.155261 0.579443i −0.00567312 0.0211724i
\(750\) 13.6755 + 12.1283i 0.499359 + 0.442862i
\(751\) −22.6187 + 13.0589i −0.825368 + 0.476526i −0.852264 0.523112i \(-0.824771\pi\)
0.0268964 + 0.999638i \(0.491438\pi\)
\(752\) −9.78527 + 1.15446i −0.356832 + 0.0420990i
\(753\) −1.54182 5.12315i −0.0561870 0.186698i
\(754\) 8.73699 5.39232i 0.318183 0.196377i
\(755\) −4.77230 4.77230i −0.173682 0.173682i
\(756\) −28.2204 35.3359i −1.02637 1.28515i
\(757\) 2.39808 2.39808i 0.0871596 0.0871596i −0.662183 0.749342i \(-0.730370\pi\)
0.749342 + 0.662183i \(0.230370\pi\)
\(758\) −25.4281 6.01930i −0.923589 0.218631i
\(759\) 30.3243 9.12612i 1.10070 0.331257i
\(760\) −1.84818 + 1.29635i −0.0670406 + 0.0470234i
\(761\) −23.1857 40.1589i −0.840482 1.45576i −0.889488 0.456959i \(-0.848939\pi\)
0.0490055 0.998799i \(-0.484395\pi\)
\(762\) −11.8545 + 0.710808i −0.429445 + 0.0257499i
\(763\) −52.3487 + 14.0268i −1.89515 + 0.507804i
\(764\) −15.3269 23.2760i −0.554509 0.842098i
\(765\) −5.07159 15.1587i −0.183364 0.548065i
\(766\) 4.14313 + 2.23251i 0.149697 + 0.0806639i
\(767\) 0.914499 1.58396i 0.0330206 0.0571934i
\(768\) 19.6664 + 19.5252i 0.709651 + 0.704554i
\(769\) −7.38255 12.7870i −0.266222 0.461109i 0.701661 0.712511i \(-0.252442\pi\)
−0.967883 + 0.251401i \(0.919109\pi\)
\(770\) −0.587134 19.9925i −0.0211588 0.720480i
\(771\) −1.01818 33.3398i −0.0366688 1.20071i
\(772\) −5.35450 + 0.314770i −0.192713 + 0.0113288i
\(773\) 22.1409 + 22.1409i 0.796353 + 0.796353i