Properties

Label 441.2.y.a.25.19
Level $441$
Weight $2$
Character 441.25
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.y (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 25.19
Character \(\chi\) \(=\) 441.25
Dual form 441.2.y.a.247.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.234242 + 1.02628i) q^{2} +(-0.449041 + 1.67283i) q^{3} +(0.803556 + 0.386972i) q^{4} +(0.973235 + 2.47976i) q^{5} +(-1.61161 - 0.852689i) q^{6} +(-1.43872 - 2.22038i) q^{7} +(-1.89803 + 2.38005i) q^{8} +(-2.59672 - 1.50234i) q^{9} +O(q^{10})\) \(q+(-0.234242 + 1.02628i) q^{2} +(-0.449041 + 1.67283i) q^{3} +(0.803556 + 0.386972i) q^{4} +(0.973235 + 2.47976i) q^{5} +(-1.61161 - 0.852689i) q^{6} +(-1.43872 - 2.22038i) q^{7} +(-1.89803 + 2.38005i) q^{8} +(-2.59672 - 1.50234i) q^{9} +(-2.77290 + 0.417948i) q^{10} +(-2.81587 + 0.868582i) q^{11} +(-1.00817 + 1.17045i) q^{12} +(0.821387 - 0.253364i) q^{13} +(2.61574 - 0.956426i) q^{14} +(-4.58525 + 0.514543i) q^{15} +(-0.885849 - 1.11082i) q^{16} +(-0.176020 + 2.34882i) q^{17} +(2.15008 - 2.31306i) q^{18} +(1.20770 + 2.09179i) q^{19} +(-0.177550 + 2.36924i) q^{20} +(4.36036 - 1.40970i) q^{21} +(-0.231813 - 3.09334i) q^{22} +(4.84253 - 3.30158i) q^{23} +(-3.12913 - 4.24382i) q^{24} +(-1.53678 + 1.42592i) q^{25} +(0.0676196 + 0.902321i) q^{26} +(3.67919 - 3.66927i) q^{27} +(-0.296869 - 2.34094i) q^{28} +(-0.461086 + 6.15276i) q^{29} +(0.545991 - 4.82628i) q^{30} -2.40618 q^{31} +(-4.13795 + 1.99273i) q^{32} +(-0.188548 - 5.10051i) q^{33} +(-2.36932 - 0.730838i) q^{34} +(4.10580 - 5.72864i) q^{35} +(-1.50525 - 2.21207i) q^{36} +(3.02263 + 2.06079i) q^{37} +(-2.42966 + 0.749451i) q^{38} +(0.0549992 + 1.48781i) q^{39} +(-7.74920 - 2.39031i) q^{40} +(6.15025 + 0.927001i) q^{41} +(0.425365 + 4.80516i) q^{42} +(-6.82726 + 1.02904i) q^{43} +(-2.59883 - 0.391710i) q^{44} +(1.19822 - 7.90139i) q^{45} +(2.25402 + 5.74316i) q^{46} +(1.70109 - 7.45295i) q^{47} +(2.25600 - 0.983072i) q^{48} +(-2.86016 + 6.38901i) q^{49} +(-1.10342 - 1.91118i) q^{50} +(-3.85014 - 1.34917i) q^{51} +(0.758075 + 0.114261i) q^{52} +(-6.29499 + 4.29185i) q^{53} +(2.90388 + 4.63538i) q^{54} +(-4.89439 - 6.13737i) q^{55} +(8.01536 + 0.790109i) q^{56} +(-4.04152 + 1.08097i) q^{57} +(-6.20645 - 1.91444i) q^{58} +(6.31164 + 7.91455i) q^{59} +(-3.88361 - 1.36090i) q^{60} +(6.31696 - 3.04209i) q^{61} +(0.563629 - 2.46942i) q^{62} +(0.400204 + 7.92716i) q^{63} +(-1.70813 - 7.48382i) q^{64} +(1.42769 + 1.79026i) q^{65} +(5.27872 + 1.00125i) q^{66} -0.918784 q^{67} +(-1.05037 + 1.81930i) q^{68} +(3.34849 + 9.58328i) q^{69} +(4.91744 + 5.55559i) q^{70} +(-3.85419 - 1.85608i) q^{71} +(8.50431 - 3.32886i) q^{72} +(-2.13378 - 0.658184i) q^{73} +(-2.82298 + 2.61934i) q^{74} +(-1.69525 - 3.21107i) q^{75} +(0.160987 + 2.14822i) q^{76} +(5.97984 + 5.00266i) q^{77} +(-1.53979 - 0.292063i) q^{78} +13.8623 q^{79} +(1.89243 - 3.27779i) q^{80} +(4.48596 + 7.80232i) q^{81} +(-2.39201 + 6.09474i) q^{82} +(12.6848 + 3.91274i) q^{83} +(4.04931 + 0.554568i) q^{84} +(-5.99583 + 1.84947i) q^{85} +(0.543142 - 7.24773i) q^{86} +(-10.0855 - 3.53416i) q^{87} +(3.27734 - 8.35053i) q^{88} +(3.64880 - 3.38559i) q^{89} +(7.82837 + 3.08055i) q^{90} +(-1.74431 - 1.45927i) q^{91} +(5.16886 - 0.779081i) q^{92} +(1.08048 - 4.02514i) q^{93} +(7.25035 + 3.49158i) q^{94} +(-4.01178 + 5.03061i) q^{95} +(-1.47539 - 7.81691i) q^{96} +(-0.0627050 + 0.108608i) q^{97} +(-5.88695 - 4.43190i) q^{98} +(8.61696 + 1.97493i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9} - 22 q^{10} - 8 q^{11} - 64 q^{12} - 4 q^{13} - 26 q^{14} - 4 q^{15} - 97 q^{16} - 37 q^{17} - q^{18} - 14 q^{19} - 11 q^{20} - 33 q^{21} - q^{22} + 31 q^{23} - 20 q^{24} + 38 q^{25} - 44 q^{26} - 49 q^{27} - 22 q^{28} + 73 q^{29} - 12 q^{30} - 20 q^{31} - q^{32} - 43 q^{33} - 7 q^{34} - 32 q^{35} + 20 q^{36} - 39 q^{37} - 40 q^{38} + q^{39} - q^{40} - 17 q^{41} + 82 q^{42} - q^{43} - 31 q^{44} - 177 q^{45} + 56 q^{46} + 5 q^{47} - 23 q^{48} - q^{49} - 21 q^{50} - 18 q^{51} - 48 q^{52} + 50 q^{53} - 15 q^{54} + 20 q^{55} + 127 q^{56} + 33 q^{57} - 82 q^{58} + 53 q^{59} + 43 q^{60} + 42 q^{61} - 30 q^{62} + 57 q^{63} - 88 q^{64} - 11 q^{65} - 90 q^{66} - 26 q^{67} + 145 q^{68} + 64 q^{69} - 46 q^{70} - 19 q^{71} - 46 q^{72} - 40 q^{73} + 18 q^{74} - 114 q^{75} + 43 q^{76} + 7 q^{77} - 129 q^{78} - 26 q^{79} + 163 q^{80} + 85 q^{81} - 28 q^{82} - 221 q^{83} - 113 q^{84} - 10 q^{85} - 18 q^{86} + 37 q^{87} - 4 q^{88} - 104 q^{89} - 60 q^{90} - 49 q^{91} + 119 q^{92} - 149 q^{93} - 13 q^{94} + 37 q^{95} + 186 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{8}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.234242 + 1.02628i −0.165634 + 0.725690i 0.822074 + 0.569380i \(0.192817\pi\)
−0.987708 + 0.156309i \(0.950040\pi\)
\(3\) −0.449041 + 1.67283i −0.259254 + 0.965809i
\(4\) 0.803556 + 0.386972i 0.401778 + 0.193486i
\(5\) 0.973235 + 2.47976i 0.435244 + 1.10898i 0.965328 + 0.261039i \(0.0840651\pi\)
−0.530084 + 0.847945i \(0.677840\pi\)
\(6\) −1.61161 0.852689i −0.657937 0.348109i
\(7\) −1.43872 2.22038i −0.543786 0.839224i
\(8\) −1.89803 + 2.38005i −0.671055 + 0.841476i
\(9\) −2.59672 1.50234i −0.865575 0.500780i
\(10\) −2.77290 + 0.417948i −0.876869 + 0.132167i
\(11\) −2.81587 + 0.868582i −0.849018 + 0.261887i −0.688582 0.725159i \(-0.741766\pi\)
−0.160436 + 0.987046i \(0.551290\pi\)
\(12\) −1.00817 + 1.17045i −0.291033 + 0.337879i
\(13\) 0.821387 0.253364i 0.227812 0.0702706i −0.178748 0.983895i \(-0.557205\pi\)
0.406559 + 0.913624i \(0.366728\pi\)
\(14\) 2.61574 0.956426i 0.699086 0.255616i
\(15\) −4.58525 + 0.514543i −1.18391 + 0.132854i
\(16\) −0.885849 1.11082i −0.221462 0.277705i
\(17\) −0.176020 + 2.34882i −0.0426911 + 0.569673i 0.934313 + 0.356453i \(0.116014\pi\)
−0.977004 + 0.213220i \(0.931605\pi\)
\(18\) 2.15008 2.31306i 0.506779 0.545193i
\(19\) 1.20770 + 2.09179i 0.277065 + 0.479891i 0.970654 0.240480i \(-0.0773049\pi\)
−0.693589 + 0.720371i \(0.743972\pi\)
\(20\) −0.177550 + 2.36924i −0.0397014 + 0.529779i
\(21\) 4.36036 1.40970i 0.951509 0.307621i
\(22\) −0.231813 3.09334i −0.0494228 0.659501i
\(23\) 4.84253 3.30158i 1.00974 0.688427i 0.0589466 0.998261i \(-0.481226\pi\)
0.950791 + 0.309834i \(0.100273\pi\)
\(24\) −3.12913 4.24382i −0.638732 0.866267i
\(25\) −1.53678 + 1.42592i −0.307356 + 0.285185i
\(26\) 0.0676196 + 0.902321i 0.0132613 + 0.176960i
\(27\) 3.67919 3.66927i 0.708061 0.706151i
\(28\) −0.296869 2.34094i −0.0561029 0.442397i
\(29\) −0.461086 + 6.15276i −0.0856214 + 1.14254i 0.774543 + 0.632522i \(0.217980\pi\)
−0.860164 + 0.510017i \(0.829639\pi\)
\(30\) 0.545991 4.82628i 0.0996839 0.881153i
\(31\) −2.40618 −0.432163 −0.216082 0.976375i \(-0.569328\pi\)
−0.216082 + 0.976375i \(0.569328\pi\)
\(32\) −4.13795 + 1.99273i −0.731493 + 0.352269i
\(33\) −0.188548 5.10051i −0.0328220 0.887885i
\(34\) −2.36932 0.730838i −0.406335 0.125338i
\(35\) 4.10580 5.72864i 0.694006 0.968317i
\(36\) −1.50525 2.21207i −0.250875 0.368679i
\(37\) 3.02263 + 2.06079i 0.496917 + 0.338793i 0.785706 0.618600i \(-0.212300\pi\)
−0.288788 + 0.957393i \(0.593252\pi\)
\(38\) −2.42966 + 0.749451i −0.394143 + 0.121577i
\(39\) 0.0549992 + 1.48781i 0.00880692 + 0.238240i
\(40\) −7.74920 2.39031i −1.22526 0.377941i
\(41\) 6.15025 + 0.927001i 0.960508 + 0.144773i 0.610537 0.791987i \(-0.290954\pi\)
0.349971 + 0.936761i \(0.386192\pi\)
\(42\) 0.425365 + 4.80516i 0.0656353 + 0.741453i
\(43\) −6.82726 + 1.02904i −1.04115 + 0.156928i −0.647290 0.762244i \(-0.724098\pi\)
−0.393857 + 0.919172i \(0.628860\pi\)
\(44\) −2.59883 0.391710i −0.391788 0.0590526i
\(45\) 1.19822 7.90139i 0.178620 1.17787i
\(46\) 2.25402 + 5.74316i 0.332338 + 0.846783i
\(47\) 1.70109 7.45295i 0.248129 1.08712i −0.685272 0.728288i \(-0.740317\pi\)
0.933401 0.358836i \(-0.116826\pi\)
\(48\) 2.25600 0.983072i 0.325625 0.141894i
\(49\) −2.86016 + 6.38901i −0.408594 + 0.912716i
\(50\) −1.10342 1.91118i −0.156047 0.270281i
\(51\) −3.85014 1.34917i −0.539128 0.188921i
\(52\) 0.758075 + 0.114261i 0.105126 + 0.0158452i
\(53\) −6.29499 + 4.29185i −0.864683 + 0.589531i −0.912386 0.409330i \(-0.865762\pi\)
0.0477028 + 0.998862i \(0.484810\pi\)
\(54\) 2.90388 + 4.63538i 0.395168 + 0.630795i
\(55\) −4.89439 6.13737i −0.659959 0.827562i
\(56\) 8.01536 + 0.790109i 1.07110 + 0.105583i
\(57\) −4.04152 + 1.08097i −0.535313 + 0.143178i
\(58\) −6.20645 1.91444i −0.814947 0.251378i
\(59\) 6.31164 + 7.91455i 0.821706 + 1.03039i 0.998931 + 0.0462160i \(0.0147163\pi\)
−0.177226 + 0.984170i \(0.556712\pi\)
\(60\) −3.88361 1.36090i −0.501372 0.175691i
\(61\) 6.31696 3.04209i 0.808804 0.389499i 0.0166808 0.999861i \(-0.494690\pi\)
0.792123 + 0.610361i \(0.208976\pi\)
\(62\) 0.563629 2.46942i 0.0715809 0.313617i
\(63\) 0.400204 + 7.92716i 0.0504209 + 0.998728i
\(64\) −1.70813 7.48382i −0.213517 0.935477i
\(65\) 1.42769 + 1.79026i 0.177083 + 0.222055i
\(66\) 5.27872 + 1.00125i 0.649765 + 0.123245i
\(67\) −0.918784 −0.112247 −0.0561237 0.998424i \(-0.517874\pi\)
−0.0561237 + 0.998424i \(0.517874\pi\)
\(68\) −1.05037 + 1.81930i −0.127376 + 0.220622i
\(69\) 3.34849 + 9.58328i 0.403111 + 1.15369i
\(70\) 4.91744 + 5.55559i 0.587747 + 0.664020i
\(71\) −3.85419 1.85608i −0.457408 0.220276i 0.190968 0.981596i \(-0.438837\pi\)
−0.648376 + 0.761320i \(0.724551\pi\)
\(72\) 8.50431 3.32886i 1.00224 0.392310i
\(73\) −2.13378 0.658184i −0.249740 0.0770346i 0.167358 0.985896i \(-0.446477\pi\)
−0.417098 + 0.908862i \(0.636953\pi\)
\(74\) −2.82298 + 2.61934i −0.328165 + 0.304492i
\(75\) −1.69525 3.21107i −0.195751 0.370782i
\(76\) 0.160987 + 2.14822i 0.0184664 + 0.246418i
\(77\) 5.97984 + 5.00266i 0.681466 + 0.570106i
\(78\) −1.53979 0.292063i −0.174347 0.0330696i
\(79\) 13.8623 1.55963 0.779813 0.626012i \(-0.215314\pi\)
0.779813 + 0.626012i \(0.215314\pi\)
\(80\) 1.89243 3.27779i 0.211580 0.366468i
\(81\) 4.48596 + 7.80232i 0.498440 + 0.866924i
\(82\) −2.39201 + 6.09474i −0.264153 + 0.673051i
\(83\) 12.6848 + 3.91274i 1.39234 + 0.429478i 0.898078 0.439837i \(-0.144964\pi\)
0.494257 + 0.869316i \(0.335440\pi\)
\(84\) 4.04931 + 0.554568i 0.441816 + 0.0605083i
\(85\) −5.99583 + 1.84947i −0.650339 + 0.200603i
\(86\) 0.543142 7.24773i 0.0585685 0.781543i
\(87\) −10.0855 3.53416i −1.08128 0.378902i
\(88\) 3.27734 8.35053i 0.349366 0.890169i
\(89\) 3.64880 3.38559i 0.386772 0.358872i −0.462692 0.886519i \(-0.653116\pi\)
0.849463 + 0.527647i \(0.176926\pi\)
\(90\) 7.82837 + 3.08055i 0.825183 + 0.324718i
\(91\) −1.74431 1.45927i −0.182853 0.152973i
\(92\) 5.16886 0.779081i 0.538891 0.0812248i
\(93\) 1.08048 4.02514i 0.112040 0.417387i
\(94\) 7.25035 + 3.49158i 0.747816 + 0.360129i
\(95\) −4.01178 + 5.03061i −0.411600 + 0.516130i
\(96\) −1.47539 7.81691i −0.150582 0.797810i
\(97\) −0.0627050 + 0.108608i −0.00636673 + 0.0110275i −0.869191 0.494476i \(-0.835360\pi\)
0.862824 + 0.505504i \(0.168693\pi\)
\(98\) −5.88695 4.43190i −0.594672 0.447689i
\(99\) 8.61696 + 1.97493i 0.866037 + 0.198488i
\(100\) −1.78668 + 0.551118i −0.178668 + 0.0551118i
\(101\) −0.387209 0.0583623i −0.0385287 0.00580727i 0.129750 0.991547i \(-0.458583\pi\)
−0.168278 + 0.985740i \(0.553821\pi\)
\(102\) 2.28649 3.63529i 0.226396 0.359948i
\(103\) −5.53002 14.0903i −0.544890 1.38836i −0.892641 0.450769i \(-0.851150\pi\)
0.347751 0.937587i \(-0.386945\pi\)
\(104\) −0.955996 + 2.43584i −0.0937431 + 0.238853i
\(105\) 7.73937 + 9.44070i 0.755285 + 0.921318i
\(106\) −2.93009 7.46576i −0.284596 0.725138i
\(107\) −13.1549 + 12.2060i −1.27173 + 1.18000i −0.297432 + 0.954743i \(0.596130\pi\)
−0.974300 + 0.225252i \(0.927679\pi\)
\(108\) 4.37634 1.52472i 0.421114 0.146716i
\(109\) 13.7992 + 12.8038i 1.32173 + 1.22638i 0.955194 + 0.295980i \(0.0956460\pi\)
0.366534 + 0.930405i \(0.380544\pi\)
\(110\) 7.44513 3.58539i 0.709865 0.341853i
\(111\) −4.80465 + 4.13097i −0.456037 + 0.392094i
\(112\) −1.19195 + 3.56508i −0.112629 + 0.336869i
\(113\) −7.19928 + 6.67996i −0.677251 + 0.628397i −0.941879 0.335953i \(-0.890942\pi\)
0.264627 + 0.964351i \(0.414751\pi\)
\(114\) −0.162688 4.40095i −0.0152371 0.412186i
\(115\) 12.9001 + 8.79511i 1.20294 + 0.820148i
\(116\) −2.75145 + 4.76566i −0.255466 + 0.442480i
\(117\) −2.51355 0.576084i −0.232378 0.0532590i
\(118\) −9.60099 + 4.62359i −0.883843 + 0.425636i
\(119\) 5.46852 2.98847i 0.501298 0.273953i
\(120\) 7.47830 11.8898i 0.682672 1.08538i
\(121\) −1.91391 + 1.30488i −0.173992 + 0.118626i
\(122\) 1.64234 + 7.19556i 0.148690 + 0.651455i
\(123\) −4.31243 + 9.87207i −0.388839 + 0.890134i
\(124\) −1.93350 0.931126i −0.173634 0.0836176i
\(125\) 6.96890 + 3.35604i 0.623317 + 0.300174i
\(126\) −8.22923 1.44615i −0.733118 0.128833i
\(127\) −3.46699 + 1.66961i −0.307645 + 0.148154i −0.581336 0.813664i \(-0.697470\pi\)
0.273691 + 0.961818i \(0.411756\pi\)
\(128\) −1.10495 −0.0976643
\(129\) 1.34430 11.8829i 0.118359 1.04623i
\(130\) −2.17173 + 1.04585i −0.190474 + 0.0917273i
\(131\) 3.23749 0.487973i 0.282861 0.0426344i −0.00607945 0.999982i \(-0.501935\pi\)
0.288940 + 0.957347i \(0.406697\pi\)
\(132\) 1.82225 4.17151i 0.158606 0.363083i
\(133\) 2.90703 5.69106i 0.252072 0.493477i
\(134\) 0.215218 0.942930i 0.0185920 0.0814567i
\(135\) 12.6796 + 5.55247i 1.09129 + 0.477880i
\(136\) −5.25623 4.87707i −0.450718 0.418206i
\(137\) 2.23029 5.68270i 0.190547 0.485505i −0.803391 0.595452i \(-0.796973\pi\)
0.993937 + 0.109947i \(0.0350681\pi\)
\(138\) −10.6195 + 1.19169i −0.903991 + 0.101443i
\(139\) 12.3703 + 1.86453i 1.04924 + 0.158147i 0.650956 0.759115i \(-0.274368\pi\)
0.398283 + 0.917263i \(0.369606\pi\)
\(140\) 5.51606 3.01445i 0.466192 0.254768i
\(141\) 11.7037 + 6.19231i 0.985626 + 0.521486i
\(142\) 2.80767 3.52070i 0.235614 0.295451i
\(143\) −2.09285 + 1.42688i −0.175013 + 0.119322i
\(144\) 0.631479 + 4.21534i 0.0526232 + 0.351278i
\(145\) −15.7061 + 4.84470i −1.30432 + 0.402330i
\(146\) 1.17530 2.03568i 0.0972686 0.168474i
\(147\) −9.40341 7.65349i −0.775580 0.631249i
\(148\) 1.63138 + 2.82564i 0.134099 + 0.232266i
\(149\) −7.96857 7.39375i −0.652811 0.605720i 0.282619 0.959232i \(-0.408797\pi\)
−0.935430 + 0.353512i \(0.884987\pi\)
\(150\) 3.69256 0.987636i 0.301496 0.0806401i
\(151\) 1.54659 + 20.6378i 0.125859 + 1.67948i 0.600753 + 0.799435i \(0.294867\pi\)
−0.474894 + 0.880043i \(0.657514\pi\)
\(152\) −7.27083 1.09590i −0.589742 0.0888894i
\(153\) 3.98580 5.83480i 0.322233 0.471716i
\(154\) −6.53486 + 4.96516i −0.526594 + 0.400104i
\(155\) −2.34178 5.96677i −0.188097 0.479262i
\(156\) −0.531546 + 1.21682i −0.0425578 + 0.0974238i
\(157\) 8.86992 + 11.1225i 0.707897 + 0.887675i 0.997586 0.0694461i \(-0.0221232\pi\)
−0.289689 + 0.957121i \(0.593552\pi\)
\(158\) −3.24712 + 14.2266i −0.258327 + 1.13181i
\(159\) −4.35283 12.4577i −0.345202 0.987958i
\(160\) −8.96870 8.32174i −0.709038 0.657891i
\(161\) −14.2978 6.00219i −1.12683 0.473039i
\(162\) −9.05817 + 2.77622i −0.711677 + 0.218120i
\(163\) 8.02640 20.4509i 0.628676 1.60184i −0.160059 0.987107i \(-0.551168\pi\)
0.788735 0.614733i \(-0.210736\pi\)
\(164\) 4.58335 + 3.12487i 0.357899 + 0.244012i
\(165\) 12.4646 5.43155i 0.970364 0.422846i
\(166\) −6.98687 + 12.1016i −0.542286 + 0.939267i
\(167\) −18.0693 12.3194i −1.39824 0.953306i −0.999340 0.0363133i \(-0.988439\pi\)
−0.398903 0.916993i \(-0.630609\pi\)
\(168\) −4.92094 + 13.0535i −0.379659 + 1.00710i
\(169\) −10.1306 + 6.90694i −0.779279 + 0.531303i
\(170\) −0.493600 6.58663i −0.0378574 0.505171i
\(171\) 0.00652471 7.24619i 0.000498957 0.554130i
\(172\) −5.88429 1.81506i −0.448673 0.138397i
\(173\) −4.24703 2.04526i −0.322896 0.155498i 0.265413 0.964135i \(-0.414492\pi\)
−0.588309 + 0.808636i \(0.700206\pi\)
\(174\) 5.98948 9.52268i 0.454061 0.721913i
\(175\) 5.37709 + 1.36073i 0.406470 + 0.102861i
\(176\) 3.45928 + 2.35850i 0.260753 + 0.177778i
\(177\) −16.0739 + 7.00435i −1.20819 + 0.526479i
\(178\) 2.61986 + 4.53774i 0.196367 + 0.340118i
\(179\) 0.398616 5.31916i 0.0297940 0.397573i −0.962293 0.272017i \(-0.912309\pi\)
0.992087 0.125556i \(-0.0400715\pi\)
\(180\) 4.02045 5.88553i 0.299667 0.438682i
\(181\) −3.27191 14.3352i −0.243199 1.06553i −0.938085 0.346405i \(-0.887402\pi\)
0.694886 0.719120i \(-0.255455\pi\)
\(182\) 1.90621 1.44833i 0.141298 0.107357i
\(183\) 2.25232 + 11.9332i 0.166497 + 0.882129i
\(184\) −1.33332 + 17.7920i −0.0982940 + 1.31164i
\(185\) −2.16855 + 9.50105i −0.159435 + 0.698531i
\(186\) 3.87783 + 2.05173i 0.284336 + 0.150440i
\(187\) −1.54450 6.76688i −0.112945 0.494843i
\(188\) 4.25100 5.33058i 0.310036 0.388773i
\(189\) −13.4405 2.89015i −0.977653 0.210227i
\(190\) −4.22309 5.29559i −0.306375 0.384183i
\(191\) 14.9960 18.8044i 1.08507 1.36064i 0.157277 0.987554i \(-0.449728\pi\)
0.927797 0.373086i \(-0.121700\pi\)
\(192\) 13.2862 + 0.503124i 0.958847 + 0.0363098i
\(193\) 12.9283 16.2116i 0.930600 1.16694i −0.0551093 0.998480i \(-0.517551\pi\)
0.985709 0.168455i \(-0.0538778\pi\)
\(194\) −0.0967744 0.0897935i −0.00694799 0.00644680i
\(195\) −3.63589 + 1.58438i −0.260372 + 0.113460i
\(196\) −4.77067 + 4.02713i −0.340762 + 0.287652i
\(197\) 17.9454 1.27856 0.639279 0.768975i \(-0.279233\pi\)
0.639279 + 0.768975i \(0.279233\pi\)
\(198\) −4.04528 + 8.38080i −0.287486 + 0.595598i
\(199\) −0.731418 1.86362i −0.0518489 0.132109i 0.902603 0.430474i \(-0.141654\pi\)
−0.954452 + 0.298366i \(0.903558\pi\)
\(200\) −0.476921 6.36406i −0.0337234 0.450007i
\(201\) 0.412572 1.53697i 0.0291006 0.108410i
\(202\) 0.150597 0.383714i 0.0105959 0.0269980i
\(203\) 14.3248 7.82832i 1.00541 0.549441i
\(204\) −2.57171 2.57403i −0.180056 0.180218i
\(205\) 3.68690 + 16.1534i 0.257504 + 1.12820i
\(206\) 15.7559 2.37482i 1.09777 0.165462i
\(207\) −17.5348 + 1.29818i −1.21875 + 0.0902295i
\(208\) −1.00907 0.687970i −0.0699662 0.0477021i
\(209\) −5.21762 4.84125i −0.360911 0.334876i
\(210\) −11.5017 + 5.73136i −0.793692 + 0.395501i
\(211\) −6.18329 + 5.73725i −0.425675 + 0.394969i −0.863710 0.503989i \(-0.831865\pi\)
0.438035 + 0.898958i \(0.355675\pi\)
\(212\) −6.71920 + 1.01276i −0.461477 + 0.0695564i
\(213\) 4.83559 5.61394i 0.331329 0.384661i
\(214\) −9.44531 16.3598i −0.645668 1.11833i
\(215\) −9.19632 15.9285i −0.627184 1.08631i
\(216\) 1.74984 + 15.7211i 0.119061 + 1.06968i
\(217\) 3.46183 + 5.34264i 0.235004 + 0.362682i
\(218\) −16.3727 + 11.1627i −1.10890 + 0.756034i
\(219\) 2.05918 3.27390i 0.139147 0.221230i
\(220\) −1.55792 6.82571i −0.105035 0.460189i
\(221\) 0.450527 + 1.97389i 0.0303057 + 0.132778i
\(222\) −3.11408 5.89856i −0.209004 0.395885i
\(223\) 21.8435 14.8926i 1.46275 0.997284i 0.469294 0.883042i \(-0.344509\pi\)
0.993453 0.114241i \(-0.0364438\pi\)
\(224\) 10.3780 + 6.32083i 0.693408 + 0.422328i
\(225\) 6.13281 1.39397i 0.408854 0.0929310i
\(226\) −5.16913 8.95320i −0.343846 0.595558i
\(227\) −3.64868 6.31971i −0.242172 0.419454i 0.719161 0.694843i \(-0.244526\pi\)
−0.961333 + 0.275390i \(0.911193\pi\)
\(228\) −3.66590 0.695335i −0.242780 0.0460497i
\(229\) 20.0809 3.02671i 1.32698 0.200011i 0.552981 0.833194i \(-0.313490\pi\)
0.774002 + 0.633183i \(0.218252\pi\)
\(230\) −12.0480 + 11.1789i −0.794421 + 0.737115i
\(231\) −11.0538 + 7.75686i −0.727286 + 0.510364i
\(232\) −13.7687 12.7755i −0.903963 0.838755i
\(233\) −5.87295 4.00411i −0.384750 0.262318i 0.355463 0.934690i \(-0.384323\pi\)
−0.740213 + 0.672372i \(0.765275\pi\)
\(234\) 1.18000 2.44467i 0.0771392 0.159813i
\(235\) 20.1371 3.03518i 1.31360 0.197993i
\(236\) 2.00905 + 8.80221i 0.130778 + 0.572975i
\(237\) −6.22472 + 23.1892i −0.404339 + 1.50630i
\(238\) 1.78605 + 6.31226i 0.115773 + 0.409163i
\(239\) −0.0722413 + 0.184068i −0.00467290 + 0.0119064i −0.933191 0.359380i \(-0.882988\pi\)
0.928518 + 0.371287i \(0.121083\pi\)
\(240\) 4.63340 + 4.63758i 0.299085 + 0.299354i
\(241\) 1.20261 + 16.0477i 0.0774668 + 1.03372i 0.891535 + 0.452953i \(0.149629\pi\)
−0.814068 + 0.580770i \(0.802752\pi\)
\(242\) −0.890857 2.26987i −0.0572665 0.145913i
\(243\) −15.0663 + 4.00068i −0.966506 + 0.256644i
\(244\) 6.25323 0.400322
\(245\) −18.6268 0.874505i −1.19003 0.0558701i
\(246\) −9.12136 6.73821i −0.581556 0.429613i
\(247\) 1.52197 + 1.41218i 0.0968408 + 0.0898552i
\(248\) 4.56701 5.72685i 0.290005 0.363655i
\(249\) −12.2413 + 19.4625i −0.775763 + 1.23339i
\(250\) −5.07665 + 6.36592i −0.321075 + 0.402616i
\(251\) −8.48202 10.6361i −0.535381 0.671346i 0.438415 0.898773i \(-0.355540\pi\)
−0.973795 + 0.227427i \(0.926969\pi\)
\(252\) −2.74600 + 6.52478i −0.172982 + 0.411023i
\(253\) −10.7683 + 13.5030i −0.676995 + 0.848925i
\(254\) −0.901377 3.94919i −0.0565575 0.247794i
\(255\) −0.401475 10.8605i −0.0251413 0.680111i
\(256\) 3.67509 16.1016i 0.229693 1.00635i
\(257\) −2.00627 + 26.7718i −0.125148 + 1.66998i 0.482594 + 0.875844i \(0.339695\pi\)
−0.607741 + 0.794135i \(0.707924\pi\)
\(258\) 11.8803 + 4.16311i 0.739637 + 0.259184i
\(259\) 0.227019 9.67629i 0.0141063 0.601256i
\(260\) 0.454444 + 1.99105i 0.0281834 + 0.123480i
\(261\) 10.4408 15.2843i 0.646272 0.946075i
\(262\) −0.257558 + 3.43688i −0.0159120 + 0.212331i
\(263\) −12.4362 21.5401i −0.766849 1.32822i −0.939263 0.343197i \(-0.888490\pi\)
0.172414 0.985025i \(-0.444843\pi\)
\(264\) 12.4974 + 9.23217i 0.769159 + 0.568201i
\(265\) −16.7693 11.4331i −1.03013 0.702330i
\(266\) 5.15967 + 4.31652i 0.316360 + 0.264663i
\(267\) 4.02506 + 7.62409i 0.246330 + 0.466587i
\(268\) −0.738294 0.355544i −0.0450985 0.0217183i
\(269\) −23.4818 7.24318i −1.43171 0.441624i −0.520605 0.853797i \(-0.674294\pi\)
−0.911106 + 0.412173i \(0.864770\pi\)
\(270\) −8.66849 + 11.7122i −0.527547 + 0.712784i
\(271\) 1.00186 + 13.3688i 0.0608584 + 0.812099i 0.941220 + 0.337795i \(0.109681\pi\)
−0.880361 + 0.474304i \(0.842700\pi\)
\(272\) 2.76505 1.88518i 0.167656 0.114306i
\(273\) 3.22438 2.26267i 0.195148 0.136943i
\(274\) 5.30961 + 3.62003i 0.320765 + 0.218694i
\(275\) 3.08885 5.35004i 0.186264 0.322620i
\(276\) −1.01776 + 8.99647i −0.0612620 + 0.541524i
\(277\) −20.6910 14.1069i −1.24320 0.847599i −0.250489 0.968120i \(-0.580591\pi\)
−0.992711 + 0.120521i \(0.961544\pi\)
\(278\) −4.81118 + 12.2587i −0.288555 + 0.735227i
\(279\) 6.24820 + 3.61490i 0.374070 + 0.216419i
\(280\) 5.84155 + 20.6452i 0.349099 + 1.23378i
\(281\) −2.44153 2.26541i −0.145650 0.135143i 0.603983 0.796997i \(-0.293579\pi\)
−0.749633 + 0.661854i \(0.769770\pi\)
\(282\) −9.09653 + 10.5607i −0.541690 + 0.628883i
\(283\) −0.499874 + 2.19009i −0.0297144 + 0.130187i −0.987610 0.156931i \(-0.949840\pi\)
0.957895 + 0.287118i \(0.0926972\pi\)
\(284\) −2.37880 2.98292i −0.141156 0.177004i
\(285\) −6.61391 8.96998i −0.391774 0.531336i
\(286\) −0.974149 2.48209i −0.0576026 0.146769i
\(287\) −6.79021 14.9896i −0.400813 0.884807i
\(288\) 13.7389 + 1.04203i 0.809571 + 0.0614021i
\(289\) 11.3241 + 1.70684i 0.666126 + 0.100402i
\(290\) −1.29299 17.2537i −0.0759269 1.01317i
\(291\) −0.153526 0.153664i −0.00899986 0.00900796i
\(292\) −1.45991 1.35460i −0.0854349 0.0792720i
\(293\) 7.99244 + 13.8433i 0.466923 + 0.808735i 0.999286 0.0377816i \(-0.0120291\pi\)
−0.532363 + 0.846516i \(0.678696\pi\)
\(294\) 10.0573 7.85777i 0.586554 0.458274i
\(295\) −13.4835 + 23.3541i −0.785039 + 1.35973i
\(296\) −10.6418 + 3.28258i −0.618545 + 0.190796i
\(297\) −7.17309 + 13.5279i −0.416225 + 0.784967i
\(298\) 9.45464 6.44606i 0.547692 0.373410i
\(299\) 3.14109 3.93880i 0.181654 0.227787i
\(300\) −0.119634 3.23629i −0.00690709 0.186847i
\(301\) 12.1074 + 13.6786i 0.697859 + 0.788421i
\(302\) −21.5424 3.24700i −1.23963 0.186844i
\(303\) 0.271503 0.621528i 0.0155974 0.0357058i
\(304\) 1.25377 3.19455i 0.0719086 0.183220i
\(305\) 13.6915 + 12.7039i 0.783976 + 0.727423i
\(306\) 5.05450 + 5.45731i 0.288947 + 0.311973i
\(307\) 7.09763 31.0967i 0.405083 1.77478i −0.201215 0.979547i \(-0.564489\pi\)
0.606298 0.795237i \(-0.292654\pi\)
\(308\) 2.86925 + 6.33395i 0.163490 + 0.360910i
\(309\) 26.0538 2.92369i 1.48215 0.166323i
\(310\) 6.67212 1.00566i 0.378951 0.0571177i
\(311\) 10.5998 5.10461i 0.601061 0.289456i −0.108504 0.994096i \(-0.534606\pi\)
0.709565 + 0.704640i \(0.248892\pi\)
\(312\) −3.64546 2.69301i −0.206384 0.152462i
\(313\) 5.61033 0.317115 0.158557 0.987350i \(-0.449316\pi\)
0.158557 + 0.987350i \(0.449316\pi\)
\(314\) −13.4925 + 6.49767i −0.761428 + 0.366685i
\(315\) −19.2680 + 8.70740i −1.08563 + 0.490606i
\(316\) 11.1391 + 5.36431i 0.626623 + 0.301766i
\(317\) −5.34905 2.57597i −0.300432 0.144681i 0.277594 0.960698i \(-0.410463\pi\)
−0.578027 + 0.816018i \(0.696177\pi\)
\(318\) 13.8047 1.54912i 0.774128 0.0868703i
\(319\) −4.04582 17.7259i −0.226522 0.992459i
\(320\) 16.8957 11.5193i 0.944497 0.643947i
\(321\) −14.5114 27.4869i −0.809949 1.53417i
\(322\) 9.50908 13.2676i 0.529920 0.739374i
\(323\) −5.12583 + 2.46847i −0.285209 + 0.137349i
\(324\) 0.585436 + 8.00554i 0.0325242 + 0.444752i
\(325\) −0.901012 + 1.56060i −0.0499792 + 0.0865664i
\(326\) 19.1083 + 13.0278i 1.05831 + 0.721543i
\(327\) −27.6151 + 17.3344i −1.52712 + 0.958592i
\(328\) −13.8797 + 12.8785i −0.766377 + 0.711094i
\(329\) −18.9957 + 6.94566i −1.04727 + 0.382927i
\(330\) 2.65457 + 14.0644i 0.146130 + 0.774221i
\(331\) 21.7435 10.4711i 1.19513 0.575545i 0.272847 0.962058i \(-0.412035\pi\)
0.922284 + 0.386513i \(0.126321\pi\)
\(332\) 8.67880 + 8.05275i 0.476311 + 0.441952i
\(333\) −4.75293 9.89233i −0.260459 0.542096i
\(334\) 16.8758 15.6584i 0.923401 0.856791i
\(335\) −0.894193 2.27837i −0.0488550 0.124480i
\(336\) −5.42854 3.59480i −0.296151 0.196112i
\(337\) 7.18322 18.3025i 0.391295 0.997003i −0.590496 0.807040i \(-0.701068\pi\)
0.981791 0.189963i \(-0.0608367\pi\)
\(338\) −4.71544 12.0148i −0.256486 0.653516i
\(339\) −7.94166 15.0427i −0.431332 0.817010i
\(340\) −5.53368 0.834068i −0.300106 0.0452337i
\(341\) 6.77551 2.08997i 0.366915 0.113178i
\(342\) 7.43509 + 1.70406i 0.402044 + 0.0921448i
\(343\) 18.3010 2.84138i 0.988161 0.153420i
\(344\) 10.5092 18.2024i 0.566616 0.981408i
\(345\) −20.5054 + 17.6303i −1.10397 + 0.949181i
\(346\) 3.09384 3.87956i 0.166326 0.208566i
\(347\) −16.9057 8.14137i −0.907547 0.437052i −0.0789382 0.996880i \(-0.525153\pi\)
−0.828609 + 0.559828i \(0.810867\pi\)
\(348\) −6.73662 6.74269i −0.361121 0.361446i
\(349\) 2.67366 0.402990i 0.143118 0.0215715i −0.0770926 0.997024i \(-0.524564\pi\)
0.220210 + 0.975452i \(0.429326\pi\)
\(350\) −2.65602 + 5.19966i −0.141970 + 0.277933i
\(351\) 2.09238 3.94606i 0.111683 0.210625i
\(352\) 9.92110 9.20543i 0.528796 0.490651i
\(353\) −4.74645 + 12.0938i −0.252628 + 0.643685i −0.999780 0.0209675i \(-0.993325\pi\)
0.747152 + 0.664653i \(0.231421\pi\)
\(354\) −3.42325 18.1370i −0.181944 0.963972i
\(355\) 0.851604 11.3639i 0.0451985 0.603131i
\(356\) 4.24214 1.30853i 0.224833 0.0693518i
\(357\) 2.54362 + 10.4899i 0.134623 + 0.555182i
\(358\) 5.36558 + 1.65506i 0.283580 + 0.0874727i
\(359\) 1.01617 2.58916i 0.0536313 0.136650i −0.901547 0.432681i \(-0.857568\pi\)
0.955179 + 0.296030i \(0.0956630\pi\)
\(360\) 16.5315 + 17.8489i 0.871286 + 0.940720i
\(361\) 6.58293 11.4020i 0.346470 0.600104i
\(362\) 15.4783 0.813523
\(363\) −1.32342 3.78760i −0.0694617 0.198797i
\(364\) −0.836955 1.84760i −0.0438684 0.0968407i
\(365\) −0.444530 5.93183i −0.0232677 0.310486i
\(366\) −12.7744 0.483745i −0.667730 0.0252857i
\(367\) −25.7684 + 23.9096i −1.34510 + 1.24807i −0.401970 + 0.915653i \(0.631674\pi\)
−0.943132 + 0.332419i \(0.892135\pi\)
\(368\) −7.95721 2.45448i −0.414798 0.127948i
\(369\) −14.5778 11.6469i −0.758892 0.606315i
\(370\) −9.24277 4.45108i −0.480509 0.231401i
\(371\) 18.5863 + 7.80248i 0.964951 + 0.405085i
\(372\) 2.42584 2.81631i 0.125774 0.146019i
\(373\) 7.81826 13.5416i 0.404814 0.701159i −0.589486 0.807779i \(-0.700670\pi\)
0.994300 + 0.106620i \(0.0340029\pi\)
\(374\) 7.30650 0.377810
\(375\) −8.74341 + 10.1508i −0.451508 + 0.524184i
\(376\) 14.5097 + 18.1946i 0.748281 + 0.938314i
\(377\) 1.18016 + 5.17062i 0.0607813 + 0.266300i
\(378\) 6.11443 13.1167i 0.314492 0.674652i
\(379\) −1.08670 + 4.76115i −0.0558201 + 0.244564i −0.995139 0.0984818i \(-0.968601\pi\)
0.939319 + 0.343046i \(0.111459\pi\)
\(380\) −5.17040 + 2.48993i −0.265236 + 0.127731i
\(381\) −1.23616 6.54940i −0.0633304 0.335536i
\(382\) 15.7859 + 19.7949i 0.807677 + 1.01280i
\(383\) 30.0047 + 9.25522i 1.53317 + 0.472920i 0.942559 0.334038i \(-0.108411\pi\)
0.590609 + 0.806958i \(0.298888\pi\)
\(384\) 0.496166 1.84839i 0.0253199 0.0943251i
\(385\) −6.58562 + 19.6974i −0.335634 + 1.00387i
\(386\) 13.6093 + 17.0655i 0.692694 + 0.868611i
\(387\) 19.2745 + 7.58471i 0.979777 + 0.385553i
\(388\) −0.0924153 + 0.0630077i −0.00469168 + 0.00319873i
\(389\) 10.9386 + 1.64872i 0.554607 + 0.0835936i 0.420365 0.907355i \(-0.361902\pi\)
0.134242 + 0.990949i \(0.457140\pi\)
\(390\) −0.774336 4.10257i −0.0392100 0.207742i
\(391\) 6.90245 + 11.9554i 0.349072 + 0.604610i
\(392\) −9.77753 18.9339i −0.493840 0.956305i
\(393\) −0.637469 + 5.63489i −0.0321561 + 0.284243i
\(394\) −4.20356 + 18.4170i −0.211773 + 0.927836i
\(395\) 13.4912 + 34.3751i 0.678818 + 1.72960i
\(396\) 6.15996 + 4.92149i 0.309550 + 0.247314i
\(397\) 18.2190 + 2.74607i 0.914384 + 0.137821i 0.589347 0.807880i \(-0.299385\pi\)
0.325037 + 0.945701i \(0.394623\pi\)
\(398\) 2.08393 0.314102i 0.104458 0.0157445i
\(399\) 8.21480 + 7.41849i 0.411254 + 0.371389i
\(400\) 2.94530 + 0.443932i 0.147265 + 0.0221966i
\(401\) −7.50276 2.31430i −0.374670 0.115570i 0.101700 0.994815i \(-0.467572\pi\)
−0.476370 + 0.879245i \(0.658048\pi\)
\(402\) 1.48072 + 0.783437i 0.0738516 + 0.0390743i
\(403\) −1.97641 + 0.609641i −0.0984519 + 0.0303684i
\(404\) −0.288559 0.196736i −0.0143564 0.00978800i
\(405\) −14.9820 + 18.7176i −0.744462 + 0.930085i
\(406\) 4.67858 + 16.5350i 0.232194 + 0.820619i
\(407\) −10.3013 3.17754i −0.510617 0.157505i
\(408\) 10.5188 6.60278i 0.520757 0.326887i
\(409\) 15.0832 7.26369i 0.745817 0.359166i −0.0220663 0.999757i \(-0.507024\pi\)
0.767883 + 0.640590i \(0.221310\pi\)
\(410\) −17.4415 −0.861374
\(411\) 8.50469 + 6.28267i 0.419506 + 0.309901i
\(412\) 1.00886 13.4623i 0.0497029 0.663239i
\(413\) 8.49259 25.4011i 0.417893 1.24990i
\(414\) 2.77509 18.2997i 0.136388 0.899382i
\(415\) 2.64262 + 35.2633i 0.129721 + 1.73101i
\(416\) −2.89397 + 2.68521i −0.141889 + 0.131653i
\(417\) −8.67383 + 19.8562i −0.424759 + 0.972364i
\(418\) 6.19066 4.22072i 0.302795 0.206442i
\(419\) 0.941040 + 12.5573i 0.0459728 + 0.613465i 0.971844 + 0.235625i \(0.0757138\pi\)
−0.925871 + 0.377839i \(0.876667\pi\)
\(420\) 2.56573 + 10.5810i 0.125195 + 0.516302i
\(421\) −0.0491254 + 0.655533i −0.00239423 + 0.0319487i −0.998273 0.0587461i \(-0.981290\pi\)
0.995879 + 0.0906949i \(0.0289088\pi\)
\(422\) −4.43965 7.68969i −0.216119 0.374328i
\(423\) −15.6141 + 16.7976i −0.759184 + 0.816729i
\(424\) 1.73324 23.1285i 0.0841736 1.12322i
\(425\) −3.07874 3.86061i −0.149341 0.187267i
\(426\) 4.62878 + 6.27769i 0.224265 + 0.304155i
\(427\) −15.8429 9.64932i −0.766693 0.466963i
\(428\) −15.2941 + 4.71759i −0.739266 + 0.228034i
\(429\) −1.44716 4.14172i −0.0698694 0.199964i
\(430\) 18.5013 5.70688i 0.892210 0.275210i
\(431\) −39.5482 + 5.96094i −1.90497 + 0.287128i −0.992523 0.122061i \(-0.961050\pi\)
−0.912449 + 0.409190i \(0.865811\pi\)
\(432\) −7.33511 0.836503i −0.352911 0.0402463i
\(433\) 16.2093 20.3258i 0.778970 0.976797i −0.221029 0.975267i \(-0.570942\pi\)
0.999999 0.00152977i \(-0.000486942\pi\)
\(434\) −6.29395 + 2.30134i −0.302119 + 0.110468i
\(435\) −1.05167 28.4492i −0.0504236 1.36403i
\(436\) 6.13374 + 15.6285i 0.293753 + 0.748470i
\(437\) 12.7545 + 6.14227i 0.610133 + 0.293824i
\(438\) 2.87759 + 2.88018i 0.137497 + 0.137621i
\(439\) −2.77503 + 12.1582i −0.132445 + 0.580279i 0.864532 + 0.502578i \(0.167615\pi\)
−0.996977 + 0.0777007i \(0.975242\pi\)
\(440\) 23.8970 1.13924
\(441\) 17.0255 12.2936i 0.810738 0.585408i
\(442\) −2.13130 −0.101375
\(443\) 1.71254 7.50311i 0.0813650 0.356483i −0.917813 0.397012i \(-0.870047\pi\)
0.999178 + 0.0405288i \(0.0129042\pi\)
\(444\) −5.45937 + 1.46020i −0.259090 + 0.0692980i
\(445\) 11.9466 + 5.75318i 0.566323 + 0.272727i
\(446\) 10.1674 + 25.9060i 0.481438 + 1.22668i
\(447\) 15.9467 10.0100i 0.754254 0.473455i
\(448\) −14.1594 + 14.5598i −0.668968 + 0.687887i
\(449\) 9.42204 11.8149i 0.444653 0.557578i −0.508110 0.861292i \(-0.669656\pi\)
0.952763 + 0.303715i \(0.0982269\pi\)
\(450\) −0.00596132 + 6.62051i −0.000281020 + 0.312094i
\(451\) −18.1235 + 2.73168i −0.853403 + 0.128630i
\(452\) −8.36998 + 2.58180i −0.393691 + 0.121437i
\(453\) −35.2180 6.68002i −1.65468 0.313855i
\(454\) 7.34046 2.26423i 0.344505 0.106266i
\(455\) 1.92101 5.74569i 0.0900586 0.269362i
\(456\) 5.09816 11.6708i 0.238743 0.546534i
\(457\) −16.1631 20.2679i −0.756077 0.948091i 0.243686 0.969854i \(-0.421643\pi\)
−0.999763 + 0.0217632i \(0.993072\pi\)
\(458\) −1.59753 + 21.3176i −0.0746479 + 0.996107i
\(459\) 7.97085 + 9.28764i 0.372047 + 0.433510i
\(460\) 6.96245 + 12.0593i 0.324626 + 0.562269i
\(461\) −1.54033 + 20.5543i −0.0717405 + 0.957310i 0.838947 + 0.544213i \(0.183172\pi\)
−0.910687 + 0.413096i \(0.864447\pi\)
\(462\) −5.37146 13.1613i −0.249903 0.612318i
\(463\) −1.47294 19.6551i −0.0684535 0.913448i −0.920691 0.390293i \(-0.872374\pi\)
0.852237 0.523155i \(-0.175245\pi\)
\(464\) 7.24306 4.93823i 0.336251 0.229252i
\(465\) 11.0329 1.23808i 0.511641 0.0574148i
\(466\) 5.48503 5.08937i 0.254089 0.235760i
\(467\) −1.54619 20.6325i −0.0715492 0.954757i −0.911289 0.411768i \(-0.864911\pi\)
0.839740 0.542989i \(-0.182708\pi\)
\(468\) −1.79685 1.43559i −0.0830595 0.0663602i
\(469\) 1.32187 + 2.04005i 0.0610385 + 0.0942007i
\(470\) −1.60201 + 21.3773i −0.0738950 + 0.986060i
\(471\) −22.5891 + 9.84341i −1.04085 + 0.453560i
\(472\) −30.8167 −1.41846
\(473\) 18.3309 8.82770i 0.842856 0.405898i
\(474\) −22.3406 11.8202i −1.02614 0.542920i
\(475\) −4.83870 1.49254i −0.222015 0.0684826i
\(476\) 5.55071 0.285239i 0.254417 0.0130739i
\(477\) 22.7942 1.68755i 1.04367 0.0772675i
\(478\) −0.171983 0.117256i −0.00786633 0.00536317i
\(479\) 10.4446 3.22175i 0.477228 0.147205i −0.0468037 0.998904i \(-0.514904\pi\)
0.524032 + 0.851699i \(0.324427\pi\)
\(480\) 17.9482 11.2663i 0.819218 0.514235i
\(481\) 3.00488 + 0.926883i 0.137011 + 0.0422622i
\(482\) −16.7511 2.52483i −0.762993 0.115003i
\(483\) 16.4610 21.2226i 0.748999 0.965661i
\(484\) −2.04289 + 0.307916i −0.0928585 + 0.0139962i
\(485\) −0.330349 0.0497922i −0.0150004 0.00226095i
\(486\) −0.576658 16.3994i −0.0261577 0.743892i
\(487\) 4.04331 + 10.3022i 0.183220 + 0.466836i 0.992744 0.120251i \(-0.0383699\pi\)
−0.809524 + 0.587087i \(0.800275\pi\)
\(488\) −4.74945 + 20.8087i −0.214997 + 0.941965i
\(489\) 30.6068 + 22.6101i 1.38409 + 1.02246i
\(490\) 5.26067 18.9115i 0.237653 0.854335i
\(491\) 5.69188 + 9.85862i 0.256871 + 0.444913i 0.965402 0.260766i \(-0.0839752\pi\)
−0.708531 + 0.705680i \(0.750642\pi\)
\(492\) −7.28549 + 6.26397i −0.328455 + 0.282401i
\(493\) −14.3706 2.16602i −0.647218 0.0975525i
\(494\) −1.80581 + 1.23118i −0.0812471 + 0.0553933i
\(495\) 3.48897 + 23.2901i 0.156818 + 1.04681i
\(496\) 2.13152 + 2.67284i 0.0957079 + 0.120014i
\(497\) 1.42391 + 11.2281i 0.0638709 + 0.503650i
\(498\) −17.1066 17.1220i −0.766563 0.767254i
\(499\) −17.4374 5.37871i −0.780604 0.240784i −0.121255 0.992621i \(-0.538692\pi\)
−0.659349 + 0.751837i \(0.729168\pi\)
\(500\) 4.30120 + 5.39354i 0.192356 + 0.241206i
\(501\) 28.7222 24.6949i 1.28321 1.10329i
\(502\) 12.9025 6.21351i 0.575866 0.277323i
\(503\) 2.16192 9.47201i 0.0963954 0.422336i −0.903586 0.428406i \(-0.859075\pi\)
0.999982 + 0.00607054i \(0.00193233\pi\)
\(504\) −19.6267 14.0935i −0.874241 0.627773i
\(505\) −0.232121 1.01699i −0.0103292 0.0452553i
\(506\) −11.3355 14.2142i −0.503923 0.631899i
\(507\) −7.00508 20.0483i −0.311106 0.890377i
\(508\) −3.43201 −0.152271
\(509\) 10.2176 17.6974i 0.452886 0.784422i −0.545678 0.837995i \(-0.683728\pi\)
0.998564 + 0.0535729i \(0.0170610\pi\)
\(510\) 11.2400 + 2.13196i 0.497714 + 0.0944047i
\(511\) 1.60850 + 5.68474i 0.0711557 + 0.251478i
\(512\) 13.6729 + 6.58451i 0.604261 + 0.290997i
\(513\) 12.1187 + 3.26475i 0.535054 + 0.144142i
\(514\) −27.0054 8.33007i −1.19116 0.367424i
\(515\) 29.5585 27.4263i 1.30250 1.20855i
\(516\) 5.67858 9.02839i 0.249986 0.397453i
\(517\) 1.68345 + 22.4641i 0.0740381 + 0.987970i
\(518\) 9.87741 + 2.49958i 0.433989 + 0.109825i
\(519\) 5.32847 6.18615i 0.233894 0.271542i
\(520\) −6.97071 −0.305686
\(521\) 7.62066 13.1994i 0.333867 0.578275i −0.649399 0.760448i \(-0.724980\pi\)
0.983267 + 0.182173i \(0.0583129\pi\)
\(522\) 13.2403 + 14.2955i 0.579513 + 0.625695i
\(523\) −14.8165 + 37.7518i −0.647879 + 1.65077i 0.106486 + 0.994314i \(0.466040\pi\)
−0.754365 + 0.656455i \(0.772055\pi\)
\(524\) 2.79034 + 0.860705i 0.121896 + 0.0376001i
\(525\) −4.69079 + 8.38393i −0.204723 + 0.365905i
\(526\) 25.0193 7.71743i 1.09089 0.336496i
\(527\) 0.423536 5.65170i 0.0184495 0.246192i
\(528\) −5.49872 + 4.72773i −0.239301 + 0.205748i
\(529\) 4.14681 10.5659i 0.180296 0.459387i
\(530\) 15.6616 14.5319i 0.680298 0.631224i
\(531\) −4.49926 30.0341i −0.195251 1.30337i
\(532\) 4.53824 3.44814i 0.196758 0.149496i
\(533\) 5.28660 0.796827i 0.228988 0.0345144i
\(534\) −8.76729 + 2.34496i −0.379398 + 0.101476i
\(535\) −43.0707 20.7418i −1.86211 0.896745i
\(536\) 1.74388 2.18676i 0.0753241 0.0944535i
\(537\) 8.71906 + 3.05534i 0.376255 + 0.131848i
\(538\) 12.9339 22.4023i 0.557622 0.965830i
\(539\) 2.50447 20.4749i 0.107875 0.881918i
\(540\) 8.04015 + 9.36838i 0.345993 + 0.403151i
\(541\) −37.7356 + 11.6399i −1.62238 + 0.500438i −0.966982 0.254846i \(-0.917975\pi\)
−0.655398 + 0.755284i \(0.727499\pi\)
\(542\) −13.9548 2.10336i −0.599412 0.0903468i
\(543\) 25.4496 + 0.963729i 1.09215 + 0.0413576i
\(544\) −3.95221 10.0701i −0.169450 0.431751i
\(545\) −18.3206 + 46.6800i −0.784766 + 1.99955i
\(546\) 1.56685 + 3.83912i 0.0670548 + 0.164299i
\(547\) 9.31194 + 23.7264i 0.398150 + 1.01447i 0.979613 + 0.200896i \(0.0643853\pi\)
−0.581463 + 0.813573i \(0.697519\pi\)
\(548\) 3.99121 3.70330i 0.170496 0.158197i
\(549\) −20.9737 1.59075i −0.895134 0.0678916i
\(550\) 4.76710 + 4.42323i 0.203270 + 0.188607i
\(551\) −13.4272 + 6.46618i −0.572016 + 0.275469i
\(552\) −29.1643 10.2198i −1.24131 0.434982i
\(553\) −19.9439 30.7795i −0.848103 1.30888i
\(554\) 19.3243 17.9303i 0.821010 0.761786i
\(555\) −14.9199 7.89398i −0.633313 0.335081i
\(556\) 9.21874 + 6.28523i 0.390962 + 0.266553i
\(557\) −17.0178 + 29.4756i −0.721066 + 1.24892i 0.239507 + 0.970895i \(0.423014\pi\)
−0.960573 + 0.278028i \(0.910319\pi\)
\(558\) −5.17349 + 5.56564i −0.219011 + 0.235612i
\(559\) −5.34710 + 2.57503i −0.226158 + 0.108912i
\(560\) −10.0006 + 0.513910i −0.422603 + 0.0217167i
\(561\) 12.0134 + 0.454925i 0.507205 + 0.0192070i
\(562\) 2.89685 1.97504i 0.122196 0.0833121i
\(563\) −5.30240 23.2313i −0.223470 0.979084i −0.954844 0.297108i \(-0.903978\pi\)
0.731374 0.681976i \(-0.238879\pi\)
\(564\) 7.00829 + 9.50485i 0.295102 + 0.400226i
\(565\) −23.5713 11.3513i −0.991652 0.477554i
\(566\) −2.13056 1.02602i −0.0895540 0.0431269i
\(567\) 10.8701 21.1859i 0.456500 0.889724i
\(568\) 11.7329 5.65028i 0.492303 0.237080i
\(569\) −0.949379 −0.0398001 −0.0199000 0.999802i \(-0.506335\pi\)
−0.0199000 + 0.999802i \(0.506335\pi\)
\(570\) 10.7550 4.68658i 0.450476 0.196299i
\(571\) −26.2835 + 12.6575i −1.09993 + 0.529699i −0.893637 0.448791i \(-0.851855\pi\)
−0.206295 + 0.978490i \(0.566141\pi\)
\(572\) −2.23389 + 0.336705i −0.0934036 + 0.0140783i
\(573\) 24.7228 + 33.5298i 1.03281 + 1.40073i
\(574\) 16.9741 3.45747i 0.708484 0.144312i
\(575\) −2.73410 + 11.9789i −0.114020 + 0.499554i
\(576\) −6.80768 + 21.9996i −0.283653 + 0.916650i
\(577\) −24.6785 22.8983i −1.02738 0.953269i −0.0284535 0.999595i \(-0.509058\pi\)
−0.998926 + 0.0463259i \(0.985249\pi\)
\(578\) −4.40428 + 11.2219i −0.183194 + 0.466771i
\(579\) 21.3139 + 28.9065i 0.885775 + 1.20131i
\(580\) −14.4955 2.18485i −0.601893 0.0907208i
\(581\) −9.56211 33.7943i −0.396703 1.40203i
\(582\) 0.193665 0.121566i 0.00802767 0.00503908i
\(583\) 13.9981 17.5530i 0.579741 0.726972i
\(584\) 5.61649 3.82926i 0.232412 0.158456i
\(585\) −1.01773 6.79368i −0.0420779 0.280884i
\(586\) −16.0793 + 4.95980i −0.664229 + 0.204887i
\(587\) −5.30553 + 9.18944i −0.218982 + 0.379289i −0.954497 0.298220i \(-0.903607\pi\)
0.735515 + 0.677509i \(0.236940\pi\)
\(588\) −4.59447 9.78886i −0.189473 0.403686i
\(589\) −2.90594 5.03324i −0.119737 0.207391i
\(590\) −20.8094 19.3083i −0.856711 0.794912i
\(591\) −8.05822 + 30.0196i −0.331471 + 1.23484i
\(592\) −0.388424 5.18315i −0.0159641 0.213026i
\(593\) 28.9663 + 4.36596i 1.18950 + 0.179289i 0.713821 0.700329i \(-0.246963\pi\)
0.475682 + 0.879617i \(0.342201\pi\)
\(594\) −12.2032 10.5304i −0.500702 0.432067i
\(595\) 12.7329 + 10.6521i 0.521996 + 0.436695i
\(596\) −3.54202 9.02491i −0.145087 0.369675i
\(597\) 3.44596 0.386696i 0.141034 0.0158264i
\(598\) 3.30654 + 4.14627i 0.135214 + 0.169553i
\(599\) 2.93781 12.8714i 0.120036 0.525911i −0.878778 0.477230i \(-0.841641\pi\)
0.998814 0.0486816i \(-0.0155020\pi\)
\(600\) 10.8602 + 2.05992i 0.443364 + 0.0840958i
\(601\) 13.2695 + 12.3123i 0.541272 + 0.502227i 0.902757 0.430151i \(-0.141540\pi\)
−0.361485 + 0.932378i \(0.617730\pi\)
\(602\) −16.8741 + 9.22148i −0.687738 + 0.375840i
\(603\) 2.38583 + 1.38032i 0.0971585 + 0.0562112i
\(604\) −6.74347 + 17.1821i −0.274388 + 0.699129i
\(605\) −5.09849 3.47609i −0.207283 0.141323i
\(606\) 0.574264 + 0.424226i 0.0233279 + 0.0172330i
\(607\) −16.0026 + 27.7173i −0.649526 + 1.12501i 0.333711 + 0.942676i \(0.391699\pi\)
−0.983236 + 0.182336i \(0.941634\pi\)
\(608\) −9.16578 6.24912i −0.371722 0.253435i
\(609\) 6.66303 + 27.4782i 0.269999 + 1.11347i
\(610\) −16.2449 + 11.0756i −0.657736 + 0.448437i
\(611\) −0.491060 6.55274i −0.0198662 0.265096i
\(612\) 5.46072 3.14620i 0.220737 0.127177i
\(613\) 5.15695 + 1.59071i 0.208287 + 0.0642481i 0.397143 0.917757i \(-0.370002\pi\)
−0.188856 + 0.982005i \(0.560478\pi\)
\(614\) 30.2514 + 14.5683i 1.22085 + 0.587929i
\(615\) −28.6774 1.08596i −1.15638 0.0437902i
\(616\) −23.2565 + 4.73715i −0.937032 + 0.190865i
\(617\) 7.90848 + 5.39191i 0.318383 + 0.217070i 0.711957 0.702223i \(-0.247809\pi\)
−0.393574 + 0.919293i \(0.628761\pi\)
\(618\) −3.10238 + 27.4234i −0.124796 + 1.10313i
\(619\) −13.8947 24.0663i −0.558474 0.967306i −0.997624 0.0688922i \(-0.978054\pi\)
0.439150 0.898414i \(-0.355280\pi\)
\(620\) 0.427218 5.70083i 0.0171575 0.228951i
\(621\) 5.70222 29.9157i 0.228822 1.20048i
\(622\) 2.75584 + 12.0741i 0.110499 + 0.484127i
\(623\) −12.7669 3.23079i −0.511495 0.129439i
\(624\) 1.60397 1.37907i 0.0642102 0.0552070i
\(625\) −2.32314 + 31.0002i −0.0929257 + 1.24001i
\(626\) −1.31417 + 5.75777i −0.0525250 + 0.230127i
\(627\) 10.4415 6.55428i 0.416994 0.261753i
\(628\) 2.82337 + 12.3700i 0.112665 + 0.493616i
\(629\) −5.37249 + 6.73688i −0.214215 + 0.268617i
\(630\) −4.42287 21.8140i −0.176211 0.869090i
\(631\) −21.9225 27.4900i −0.872722 1.09436i −0.994801 0.101839i \(-0.967527\pi\)
0.122079 0.992520i \(-0.461044\pi\)
\(632\) −26.3110 + 32.9929i −1.04660 + 1.31239i
\(633\) −6.82090 12.9199i −0.271107 0.513518i
\(634\) 3.89663 4.88622i 0.154755 0.194057i
\(635\) −7.51444 6.97238i −0.298201 0.276690i
\(636\) 1.32303 11.6949i 0.0524614 0.463731i
\(637\) −0.730549 + 5.97251i −0.0289454 + 0.236640i
\(638\) 19.1394 0.757737
\(639\) 7.21980 + 10.6100i 0.285611 + 0.419726i
\(640\) −1.07537 2.74000i −0.0425078 0.108308i
\(641\) −1.77138 23.6374i −0.0699652 0.933621i −0.916177 0.400774i \(-0.868741\pi\)
0.846212 0.532847i \(-0.178878\pi\)
\(642\) 31.6084 8.45421i 1.24749 0.333661i
\(643\) −6.11950 + 15.5922i −0.241329 + 0.614897i −0.999301 0.0373906i \(-0.988095\pi\)
0.757971 + 0.652288i \(0.226191\pi\)
\(644\) −9.16641 10.3559i −0.361207 0.408082i
\(645\) 30.7752 8.23134i 1.21177 0.324109i
\(646\) −1.33266 5.83876i −0.0524328 0.229723i
\(647\) −25.9967 + 3.91837i −1.02203 + 0.154047i −0.638614 0.769527i \(-0.720492\pi\)
−0.383420 + 0.923574i \(0.625254\pi\)
\(648\) −27.0844 4.13222i −1.06398 0.162329i
\(649\) −24.6472 16.8042i −0.967488 0.659622i
\(650\) −1.39056 1.29025i −0.0545421 0.0506077i
\(651\) −10.4918 + 3.39199i −0.411207 + 0.132943i
\(652\) 14.3636 13.3275i 0.562522 0.521944i
\(653\) 27.4773 4.14153i 1.07527 0.162071i 0.412547 0.910936i \(-0.364639\pi\)
0.662722 + 0.748866i \(0.269401\pi\)
\(654\) −11.3213 32.4012i −0.442698 1.26699i
\(655\) 4.36090 + 7.55330i 0.170394 + 0.295132i
\(656\) −4.41846 7.65300i −0.172512 0.298800i
\(657\) 4.55202 + 4.91478i 0.177591 + 0.191744i
\(658\) −2.67860 21.1219i −0.104423 0.823418i
\(659\) −32.3926 + 22.0849i −1.26184 + 0.860305i −0.994646 0.103338i \(-0.967048\pi\)
−0.267190 + 0.963644i \(0.586095\pi\)
\(660\) 12.1178 + 0.458880i 0.471686 + 0.0178619i
\(661\) 3.26248 + 14.2939i 0.126896 + 0.555967i 0.997905 + 0.0646998i \(0.0206090\pi\)
−0.871009 + 0.491267i \(0.836534\pi\)
\(662\) 5.65306 + 24.7677i 0.219713 + 0.962624i
\(663\) −3.50429 0.132701i −0.136095 0.00515368i
\(664\) −33.3886 + 22.7640i −1.29573 + 0.883413i
\(665\) 16.9417 + 1.67002i 0.656971 + 0.0647605i
\(666\) 11.2656 2.56064i 0.436535 0.0992227i
\(667\) 18.0810 + 31.3172i 0.700100 + 1.21261i
\(668\) −9.75240 16.8917i −0.377332 0.653558i
\(669\) 15.1042 + 43.2278i 0.583963 + 1.67128i
\(670\) 2.54770 0.384004i 0.0984263 0.0148354i
\(671\) −15.1455 + 14.0529i −0.584684 + 0.542508i
\(672\) −15.2338 + 14.5223i −0.587657 + 0.560209i
\(673\) −24.6206 22.8446i −0.949055 0.880594i 0.0439062 0.999036i \(-0.486020\pi\)
−0.992961 + 0.118441i \(0.962210\pi\)
\(674\) 17.1009 + 11.6592i 0.658703 + 0.449096i
\(675\) −0.422015 + 10.8851i −0.0162434 + 0.418968i
\(676\) −10.8133 + 1.62984i −0.415897 + 0.0626863i
\(677\) −9.91596 43.4447i −0.381101 1.66971i −0.694037 0.719940i \(-0.744169\pi\)
0.312935 0.949774i \(-0.398688\pi\)
\(678\) 17.2983 4.62673i 0.664339 0.177689i
\(679\) 0.331366 0.0170282i 0.0127167 0.000653483i
\(680\) 6.97843 17.7808i 0.267611 0.681861i
\(681\) 12.2102 3.26582i 0.467896 0.125147i
\(682\) 0.557786 + 7.44313i 0.0213587 + 0.285012i
\(683\) −10.8875 27.7410i −0.416600 1.06148i −0.973049 0.230599i \(-0.925932\pi\)
0.556449 0.830882i \(-0.312164\pi\)
\(684\) 2.80931 5.82019i 0.107417 0.222541i
\(685\) 16.2623 0.621352
\(686\) −1.37081 + 19.4475i −0.0523378 + 0.742510i
\(687\) −3.95397 + 34.9511i −0.150854 + 1.33347i
\(688\) 7.19101 + 6.67228i 0.274155 + 0.254378i
\(689\) −4.08322 + 5.12019i −0.155558 + 0.195064i
\(690\) −13.2904 25.1740i −0.505955 0.958358i
\(691\) −11.9231 + 14.9511i −0.453577 + 0.568768i −0.955065 0.296397i \(-0.904215\pi\)
0.501487 + 0.865165i \(0.332786\pi\)
\(692\) −2.62127 3.28696i −0.0996456 0.124952i
\(693\) −8.01231 21.9743i −0.304363 0.834734i
\(694\) 12.3154 15.4430i 0.467485 0.586207i
\(695\) 7.41567 + 32.4902i 0.281292 + 1.23242i
\(696\) 27.5540 17.2960i 1.04443 0.655605i
\(697\) −3.25993 + 14.2827i −0.123479 + 0.540995i
\(698\) −0.212703 + 2.83832i −0.00805093 + 0.107432i
\(699\) 9.33540 8.02645i 0.353097 0.303588i
\(700\) 3.79423 + 3.17420i 0.143408 + 0.119974i
\(701\) 3.20422 + 14.0386i 0.121022 + 0.530230i 0.998700 + 0.0509797i \(0.0162344\pi\)
−0.877678 + 0.479251i \(0.840908\pi\)
\(702\) 3.55965 + 3.07170i 0.134350 + 0.115934i
\(703\) −0.660334 + 8.81154i −0.0249050 + 0.332334i
\(704\) 11.3102 + 19.5898i 0.426269 + 0.738320i
\(705\) −3.96504 + 35.0489i −0.149332 + 1.32002i
\(706\) −11.2998 7.70405i −0.425272 0.289946i
\(707\) 0.427499 + 0.943717i 0.0160778 + 0.0354921i
\(708\) −15.6267 0.591757i −0.587289 0.0222396i
\(709\) −7.55033 3.63605i −0.283558 0.136555i 0.286699 0.958021i \(-0.407442\pi\)
−0.570257 + 0.821466i \(0.693156\pi\)
\(710\) 11.4630 + 3.53588i 0.430200 + 0.132699i
\(711\) −35.9965 20.8258i −1.34997 0.781029i
\(712\) 1.13236 + 15.1103i 0.0424370 + 0.566282i
\(713\) −11.6520 + 7.94421i −0.436372 + 0.297513i
\(714\) −11.3613 + 0.153303i −0.425188 + 0.00573724i
\(715\) −5.57517 3.80109i −0.208500 0.142153i
\(716\) 2.37868 4.11999i 0.0888953 0.153971i
\(717\) −0.275475 0.203501i −0.0102878 0.00759990i
\(718\) 2.41917 + 1.64936i 0.0902826 + 0.0615537i
\(719\) −3.53026 + 8.99496i −0.131657 + 0.335455i −0.981466 0.191634i \(-0.938621\pi\)
0.849810 + 0.527089i \(0.176717\pi\)
\(720\) −9.83846 + 5.66843i −0.366658 + 0.211250i
\(721\) −23.3296 + 32.5507i −0.868839 + 1.21225i
\(722\) 10.1596 + 9.42675i 0.378102 + 0.350827i
\(723\) −27.3851 5.19431i −1.01846 0.193178i
\(724\) 2.91815 12.7853i 0.108452 0.475160i
\(725\) −8.06477 10.1129i −0.299518 0.375584i
\(726\) 4.19714 0.470990i 0.155770 0.0174801i
\(727\) 11.4529 + 29.1815i 0.424764 + 1.08228i 0.969807 + 0.243874i \(0.0784182\pi\)
−0.545043 + 0.838408i \(0.683487\pi\)
\(728\) 6.78389 1.38182i 0.251428 0.0512137i
\(729\) 0.0729350 26.9999i 0.00270129 0.999996i
\(730\) 6.19185 + 0.933272i 0.229171 + 0.0345419i
\(731\) −1.21531 16.2172i −0.0449498 0.599813i
\(732\) −2.80796 + 10.4606i −0.103785 + 0.386635i
\(733\) 26.5018 + 24.5901i 0.978867 + 0.908256i 0.995796 0.0916010i \(-0.0291984\pi\)
−0.0169289 + 0.999857i \(0.505389\pi\)
\(734\) −18.5019 32.0463i −0.682918 1.18285i
\(735\) 9.82712 30.7669i 0.362479 1.13485i
\(736\) −13.4590 + 23.3116i −0.496105 + 0.859278i
\(737\) 2.58718 0.798040i 0.0953000 0.0293962i
\(738\) 15.3678 12.2328i 0.565695 0.450294i
\(739\) −23.1577 + 15.7886i −0.851869 + 0.580794i −0.908634 0.417593i \(-0.862874\pi\)
0.0567653 + 0.998388i \(0.481921\pi\)
\(740\) −5.41919 + 6.79545i −0.199213 + 0.249806i
\(741\) −3.04577 + 1.91187i −0.111889 + 0.0702345i
\(742\) −12.3612 + 17.2471i −0.453794 + 0.633160i
\(743\) 39.2106 + 5.91005i 1.43850 + 0.216819i 0.821528 0.570168i \(-0.193122\pi\)
0.616970 + 0.786987i \(0.288360\pi\)
\(744\) 7.52927 + 10.2114i 0.276037 + 0.374369i
\(745\) 10.5795 26.9560i 0.387602 0.987593i
\(746\) 12.0661 + 11.1957i 0.441773 + 0.409905i
\(747\) −27.0606 29.2171i −0.990096 1.06900i
\(748\) 1.37750 6.03524i 0.0503665 0.220670i
\(749\) 46.0281 + 11.6479i 1.68183 + 0.425604i
\(750\) −8.36948 11.3509i −0.305610 0.414477i
\(751\) 20.5871 3.10301i 0.751235 0.113230i 0.237747 0.971327i \(-0.423591\pi\)
0.513488 + 0.858097i \(0.328353\pi\)
\(752\) −9.78579 + 4.71259i −0.356851 + 0.171850i
\(753\) 21.6012 9.41294i 0.787192 0.343026i
\(754\) −5.58294 −0.203319
\(755\) −49.6716 + 23.9206i −1.80773 + 0.870559i
\(756\) −9.68179 7.52349i −0.352123 0.273627i
\(757\) 3.86032 + 1.85903i 0.140306 + 0.0675677i 0.502719 0.864450i \(-0.332333\pi\)
−0.362414 + 0.932017i \(0.618047\pi\)
\(758\) −4.63172 2.23052i −0.168232 0.0810161i
\(759\) −17.7528 24.0769i −0.644386 0.873935i
\(760\) −4.35865 19.0965i −0.158105 0.692703i
\(761\) −10.3806 + 7.07741i −0.376298 + 0.256556i −0.736669 0.676253i \(-0.763602\pi\)
0.360371 + 0.932809i \(0.382650\pi\)
\(762\) 7.01109 + 0.265497i 0.253985 + 0.00961795i
\(763\) 8.57607 49.0607i 0.310475 1.77612i
\(764\) 19.3269 9.30736i 0.699224 0.336728i
\(765\) 18.3481 + 4.20521i 0.663375 + 0.152040i
\(766\) −16.5268 + 28.6253i −0.597138 + 1.03427i
\(767\) 7.18956 + 4.90176i 0.259600 + 0.176992i
\(768\) 25.2850 + 13.3781i 0.912394 + 0.482740i
\(769\) 16.0727 14.9133i 0.579596 0.537786i −0.334967 0.942230i \(-0.608725\pi\)
0.914563 + 0.404444i \(0.132535\pi\)
\(770\) −18.6724 11.3726i −0.672906 0.409841i