Properties

Label 354.2.e.b.19.2
Level 354
Weight 2
Character 354.19
Analytic conductor 2.827
Analytic rank 0
Dimension 56
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 354.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.82670423155\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(2\) over \(\Q(\zeta_{29})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 19.2
Character \(\chi\) = 354.19
Dual form 354.2.e.b.205.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.468408 + 0.883512i) q^{2} +(0.725995 - 0.687699i) q^{3} +(-0.561187 - 0.827689i) q^{4} +(3.92252 - 0.863413i) q^{5} +(0.267528 + 0.963550i) q^{6} +(-0.604650 + 0.459643i) q^{7} +(0.994138 - 0.108119i) q^{8} +(0.0541389 - 0.998533i) q^{9} +O(q^{10})\) \(q+(-0.468408 + 0.883512i) q^{2} +(0.725995 - 0.687699i) q^{3} +(-0.561187 - 0.827689i) q^{4} +(3.92252 - 0.863413i) q^{5} +(0.267528 + 0.963550i) q^{6} +(-0.604650 + 0.459643i) q^{7} +(0.994138 - 0.108119i) q^{8} +(0.0541389 - 0.998533i) q^{9} +(-1.07451 + 3.87003i) q^{10} +(-0.299077 - 0.750627i) q^{11} +(-0.976621 - 0.214970i) q^{12} +(0.00237843 + 0.0438676i) q^{13} +(-0.122877 - 0.749516i) q^{14} +(2.25397 - 3.32435i) q^{15} +(-0.370138 + 0.928977i) q^{16} +(-3.64238 - 2.76887i) q^{17} +(0.856857 + 0.515554i) q^{18} +(5.62069 - 1.89383i) q^{19} +(-2.91591 - 2.76209i) q^{20} +(-0.122877 + 0.749516i) q^{21} +(0.803279 + 0.0873618i) q^{22} +(-6.09993 + 3.67021i) q^{23} +(0.647386 - 0.762162i) q^{24} +(10.1028 - 4.67407i) q^{25} +(-0.0398717 - 0.0184466i) q^{26} +(-0.647386 - 0.762162i) q^{27} +(0.719763 + 0.242516i) q^{28} +(3.97100 + 7.49010i) q^{29} +(1.88133 + 3.54856i) q^{30} +(-3.23255 - 1.08917i) q^{31} +(-0.647386 - 0.762162i) q^{32} +(-0.733335 - 0.339277i) q^{33} +(4.15245 - 1.92113i) q^{34} +(-1.97489 + 2.32502i) q^{35} +(-0.856857 + 0.515554i) q^{36} +(6.37265 + 0.693068i) q^{37} +(-0.959556 + 5.85303i) q^{38} +(0.0318945 + 0.0302121i) q^{39} +(3.80618 - 1.28245i) q^{40} +(3.43549 + 2.06706i) q^{41} +(-0.604650 - 0.459643i) q^{42} +(-1.90101 + 4.77116i) q^{43} +(-0.453448 + 0.668785i) q^{44} +(-0.649786 - 3.96352i) q^{45} +(-0.385413 - 7.10852i) q^{46} +(-4.68291 - 1.03079i) q^{47} +(0.370138 + 0.928977i) q^{48} +(-1.71837 + 6.18900i) q^{49} +(-0.602657 + 11.1154i) q^{50} +(-4.54850 + 0.494680i) q^{51} +(0.0349740 - 0.0265866i) q^{52} +(-2.33867 - 8.42313i) q^{53} +(0.976621 - 0.214970i) q^{54} +(-1.82124 - 2.68613i) q^{55} +(-0.551409 + 0.522322i) q^{56} +(2.77821 - 5.24026i) q^{57} -8.47764 q^{58} +(-4.69358 + 6.08032i) q^{59} -4.01643 q^{60} +(-1.52570 + 2.87777i) q^{61} +(2.47645 - 2.34582i) q^{62} +(0.426233 + 0.628647i) q^{63} +(0.976621 - 0.214970i) q^{64} +(0.0472054 + 0.170018i) q^{65} +(0.643255 - 0.488990i) q^{66} +(7.12530 - 0.774923i) q^{67} +(-0.247703 + 4.56861i) q^{68} +(-1.90452 + 6.85947i) q^{69} +(-1.12913 - 2.83390i) q^{70} +(-15.3701 - 3.38321i) q^{71} +(-0.0541389 - 0.998533i) q^{72} +(-0.871827 - 5.31791i) q^{73} +(-3.59734 + 5.30568i) q^{74} +(4.12026 - 10.3411i) q^{75} +(-4.72176 - 3.58939i) q^{76} +(0.525857 + 0.316398i) q^{77} +(-0.0416324 + 0.0140276i) q^{78} +(-0.0990001 - 0.0937778i) q^{79} +(-0.649786 + 3.96352i) q^{80} +(-0.994138 - 0.108119i) q^{81} +(-3.43549 + 2.06706i) q^{82} +(-2.39648 + 2.82135i) q^{83} +(0.689323 - 0.318915i) q^{84} +(-16.6780 - 7.71607i) q^{85} +(-3.32493 - 3.91442i) q^{86} +(8.03386 + 2.70692i) q^{87} +(-0.378481 - 0.713891i) q^{88} +(-6.37807 - 12.0303i) q^{89} +(3.80618 + 1.28245i) q^{90} +(-0.0216016 - 0.0254313i) q^{91} +(6.46099 + 2.98917i) q^{92} +(-3.09584 + 1.43229i) q^{93} +(3.10423 - 3.65458i) q^{94} +(20.4121 - 12.2816i) q^{95} +(-0.994138 - 0.108119i) q^{96} +(-0.451929 + 2.75664i) q^{97} +(-4.66316 - 4.41718i) q^{98} +(-0.765718 + 0.258000i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + q^{7} + 2q^{8} - 2q^{9} + O(q^{10}) \) \( 56q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + q^{7} + 2q^{8} - 2q^{9} + 2q^{10} + 30q^{11} + 2q^{12} + 5q^{13} + 28q^{14} + 2q^{15} - 2q^{16} - 3q^{17} + 2q^{18} - 4q^{19} - 2q^{20} + 28q^{21} - q^{22} - 2q^{23} - 2q^{24} + 64q^{25} - 34q^{26} + 2q^{27} + q^{28} + 8q^{29} - 2q^{30} + 2q^{32} - q^{33} + 32q^{34} - 87q^{35} - 2q^{36} + 47q^{37} + 4q^{38} - 5q^{39} + 2q^{40} + 3q^{41} + q^{42} - 61q^{43} + q^{44} - 2q^{45} - 27q^{46} + 50q^{47} + 2q^{48} - 45q^{49} - 6q^{50} + 3q^{51} - 24q^{52} - 27q^{53} - 2q^{54} - 95q^{55} - q^{56} + 4q^{57} + 50q^{58} - 58q^{59} + 2q^{60} - 74q^{61} - 29q^{62} + q^{63} - 2q^{64} - 17q^{65} + q^{66} + 4q^{67} - 32q^{68} + 31q^{69} - 58q^{70} - 47q^{71} + 2q^{72} + 43q^{73} - 18q^{74} - 6q^{75} - 33q^{76} - 5q^{77} + 5q^{78} + 19q^{79} - 2q^{80} - 2q^{81} - 3q^{82} + 47q^{83} - q^{84} - 149q^{85} - 55q^{86} + 21q^{87} + 28q^{88} + 36q^{89} + 2q^{90} + 175q^{91} - 2q^{92} - 29q^{93} - 21q^{94} + 50q^{95} - 2q^{96} + 10q^{97} - 13q^{98} + q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{19}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.468408 + 0.883512i −0.331215 + 0.624737i
\(3\) 0.725995 0.687699i 0.419154 0.397043i
\(4\) −0.561187 0.827689i −0.280594 0.413844i
\(5\) 3.92252 0.863413i 1.75421 0.386130i 0.782561 0.622574i \(-0.213913\pi\)
0.971645 + 0.236444i \(0.0759818\pi\)
\(6\) 0.267528 + 0.963550i 0.109218 + 0.393368i
\(7\) −0.604650 + 0.459643i −0.228536 + 0.173729i −0.713176 0.700985i \(-0.752744\pi\)
0.484640 + 0.874714i \(0.338951\pi\)
\(8\) 0.994138 0.108119i 0.351481 0.0382258i
\(9\) 0.0541389 0.998533i 0.0180463 0.332844i
\(10\) −1.07451 + 3.87003i −0.339789 + 1.22381i
\(11\) −0.299077 0.750627i −0.0901752 0.226323i 0.876971 0.480543i \(-0.159560\pi\)
−0.967146 + 0.254220i \(0.918181\pi\)
\(12\) −0.976621 0.214970i −0.281926 0.0620566i
\(13\) 0.00237843 + 0.0438676i 0.000659659 + 0.0121667i 0.998845 0.0480546i \(-0.0153021\pi\)
−0.998185 + 0.0602213i \(0.980819\pi\)
\(14\) −0.122877 0.749516i −0.0328402 0.200316i
\(15\) 2.25397 3.32435i 0.581972 0.858344i
\(16\) −0.370138 + 0.928977i −0.0925345 + 0.232244i
\(17\) −3.64238 2.76887i −0.883408 0.671549i 0.0617752 0.998090i \(-0.480324\pi\)
−0.945183 + 0.326541i \(0.894117\pi\)
\(18\) 0.856857 + 0.515554i 0.201963 + 0.121517i
\(19\) 5.62069 1.89383i 1.28947 0.434474i 0.410725 0.911759i \(-0.365276\pi\)
0.878749 + 0.477285i \(0.158379\pi\)
\(20\) −2.91591 2.76209i −0.652017 0.617623i
\(21\) −0.122877 + 0.749516i −0.0268139 + 0.163558i
\(22\) 0.803279 + 0.0873618i 0.171260 + 0.0186256i
\(23\) −6.09993 + 3.67021i −1.27192 + 0.765291i −0.981473 0.191599i \(-0.938633\pi\)
−0.290450 + 0.956890i \(0.593805\pi\)
\(24\) 0.647386 0.762162i 0.132147 0.155576i
\(25\) 10.1028 4.67407i 2.02057 0.934815i
\(26\) −0.0398717 0.0184466i −0.00781948 0.00361768i
\(27\) −0.647386 0.762162i −0.124590 0.146678i
\(28\) 0.719763 + 0.242516i 0.136022 + 0.0458313i
\(29\) 3.97100 + 7.49010i 0.737396 + 1.39088i 0.913638 + 0.406529i \(0.133261\pi\)
−0.176242 + 0.984347i \(0.556394\pi\)
\(30\) 1.88133 + 3.54856i 0.343482 + 0.647876i
\(31\) −3.23255 1.08917i −0.580584 0.195621i 0.0136596 0.999907i \(-0.495652\pi\)
−0.594243 + 0.804285i \(0.702548\pi\)
\(32\) −0.647386 0.762162i −0.114443 0.134732i
\(33\) −0.733335 0.339277i −0.127657 0.0590605i
\(34\) 4.15245 1.92113i 0.712140 0.329471i
\(35\) −1.97489 + 2.32502i −0.333818 + 0.393000i
\(36\) −0.856857 + 0.515554i −0.142810 + 0.0859256i
\(37\) 6.37265 + 0.693068i 1.04766 + 0.113940i 0.615721 0.787964i \(-0.288865\pi\)
0.431937 + 0.901904i \(0.357830\pi\)
\(38\) −0.959556 + 5.85303i −0.155660 + 0.949487i
\(39\) 0.0318945 + 0.0302121i 0.00510720 + 0.00483780i
\(40\) 3.80618 1.28245i 0.601810 0.202773i
\(41\) 3.43549 + 2.06706i 0.536533 + 0.322821i 0.757901 0.652369i \(-0.226225\pi\)
−0.221369 + 0.975190i \(0.571052\pi\)
\(42\) −0.604650 0.459643i −0.0932994 0.0709244i
\(43\) −1.90101 + 4.77116i −0.289901 + 0.727596i 0.709830 + 0.704373i \(0.248772\pi\)
−0.999730 + 0.0232224i \(0.992607\pi\)
\(44\) −0.453448 + 0.668785i −0.0683598 + 0.100823i
\(45\) −0.649786 3.96352i −0.0968643 0.590846i
\(46\) −0.385413 7.10852i −0.0568260 1.04809i
\(47\) −4.68291 1.03079i −0.683073 0.150356i −0.140140 0.990132i \(-0.544755\pi\)
−0.542933 + 0.839776i \(0.682686\pi\)
\(48\) 0.370138 + 0.928977i 0.0534248 + 0.134086i
\(49\) −1.71837 + 6.18900i −0.245481 + 0.884144i
\(50\) −0.602657 + 11.1154i −0.0852286 + 1.57195i
\(51\) −4.54850 + 0.494680i −0.636918 + 0.0692690i
\(52\) 0.0349740 0.0265866i 0.00485002 0.00368689i
\(53\) −2.33867 8.42313i −0.321241 1.15701i −0.931181 0.364558i \(-0.881220\pi\)
0.609940 0.792448i \(-0.291194\pi\)
\(54\) 0.976621 0.214970i 0.132901 0.0292538i
\(55\) −1.82124 2.68613i −0.245576 0.362197i
\(56\) −0.551409 + 0.522322i −0.0736851 + 0.0697982i
\(57\) 2.77821 5.24026i 0.367983 0.694089i
\(58\) −8.47764 −1.11317
\(59\) −4.69358 + 6.08032i −0.611051 + 0.791591i
\(60\) −4.01643 −0.518518
\(61\) −1.52570 + 2.87777i −0.195346 + 0.368461i −0.961764 0.273881i \(-0.911692\pi\)
0.766418 + 0.642343i \(0.222037\pi\)
\(62\) 2.47645 2.34582i 0.314510 0.297920i
\(63\) 0.426233 + 0.628647i 0.0537004 + 0.0792021i
\(64\) 0.976621 0.214970i 0.122078 0.0268713i
\(65\) 0.0472054 + 0.170018i 0.00585510 + 0.0210882i
\(66\) 0.643255 0.488990i 0.0791792 0.0601905i
\(67\) 7.12530 0.774923i 0.870494 0.0946720i 0.338041 0.941131i \(-0.390236\pi\)
0.532453 + 0.846459i \(0.321270\pi\)
\(68\) −0.247703 + 4.56861i −0.0300384 + 0.554026i
\(69\) −1.90452 + 6.85947i −0.229278 + 0.825783i
\(70\) −1.12913 2.83390i −0.134957 0.338716i
\(71\) −15.3701 3.38321i −1.82409 0.401513i −0.835174 0.549986i \(-0.814633\pi\)
−0.988916 + 0.148473i \(0.952564\pi\)
\(72\) −0.0541389 0.998533i −0.00638033 0.117678i
\(73\) −0.871827 5.31791i −0.102040 0.622414i −0.987490 0.157681i \(-0.949598\pi\)
0.885450 0.464734i \(-0.153850\pi\)
\(74\) −3.59734 + 5.30568i −0.418182 + 0.616773i
\(75\) 4.12026 10.3411i 0.475767 1.19408i
\(76\) −4.72176 3.58939i −0.541623 0.411731i
\(77\) 0.525857 + 0.316398i 0.0599270 + 0.0360569i
\(78\) −0.0416324 + 0.0140276i −0.00471394 + 0.00158831i
\(79\) −0.0990001 0.0937778i −0.0111384 0.0105508i 0.682110 0.731250i \(-0.261063\pi\)
−0.693248 + 0.720699i \(0.743821\pi\)
\(80\) −0.649786 + 3.96352i −0.0726482 + 0.443135i
\(81\) −0.994138 0.108119i −0.110460 0.0120132i
\(82\) −3.43549 + 2.06706i −0.379386 + 0.228269i
\(83\) −2.39648 + 2.82135i −0.263048 + 0.309684i −0.877791 0.479043i \(-0.840984\pi\)
0.614743 + 0.788727i \(0.289260\pi\)
\(84\) 0.689323 0.318915i 0.0752113 0.0347964i
\(85\) −16.6780 7.71607i −1.80899 0.836926i
\(86\) −3.32493 3.91442i −0.358537 0.422102i
\(87\) 8.03386 + 2.70692i 0.861320 + 0.290213i
\(88\) −0.378481 0.713891i −0.0403462 0.0761010i
\(89\) −6.37807 12.0303i −0.676074 1.27521i −0.949635 0.313357i \(-0.898546\pi\)
0.273561 0.961855i \(-0.411798\pi\)
\(90\) 3.80618 + 1.28245i 0.401207 + 0.135182i
\(91\) −0.0216016 0.0254313i −0.00226446 0.00266593i
\(92\) 6.46099 + 2.98917i 0.673605 + 0.311643i
\(93\) −3.09584 + 1.43229i −0.321024 + 0.148522i
\(94\) 3.10423 3.65458i 0.320177 0.376941i
\(95\) 20.4121 12.2816i 2.09424 1.26006i
\(96\) −0.994138 0.108119i −0.101464 0.0110349i
\(97\) −0.451929 + 2.75664i −0.0458864 + 0.279895i −0.999796 0.0201995i \(-0.993570\pi\)
0.953910 + 0.300094i \(0.0970181\pi\)
\(98\) −4.66316 4.41718i −0.471050 0.446203i
\(99\) −0.765718 + 0.258000i −0.0769576 + 0.0259300i
\(100\) −9.53826 5.73898i −0.953826 0.573898i
\(101\) 2.97909 + 2.26464i 0.296430 + 0.225340i 0.742808 0.669504i \(-0.233493\pi\)
−0.446378 + 0.894844i \(0.647286\pi\)
\(102\) 1.69350 4.25037i 0.167682 0.420849i
\(103\) −4.74894 + 7.00416i −0.467927 + 0.690141i −0.986290 0.165020i \(-0.947231\pi\)
0.518363 + 0.855161i \(0.326542\pi\)
\(104\) 0.00710742 + 0.0433533i 0.000696940 + 0.00425114i
\(105\) 0.165154 + 3.04609i 0.0161174 + 0.297268i
\(106\) 8.53739 + 1.87922i 0.829224 + 0.182526i
\(107\) 0.0559480 + 0.140419i 0.00540870 + 0.0135748i 0.931656 0.363341i \(-0.118364\pi\)
−0.926248 + 0.376916i \(0.876985\pi\)
\(108\) −0.267528 + 0.963550i −0.0257429 + 0.0927176i
\(109\) −0.271468 + 5.00693i −0.0260019 + 0.479577i 0.956314 + 0.292343i \(0.0944349\pi\)
−0.982315 + 0.187234i \(0.940048\pi\)
\(110\) 3.22631 0.350882i 0.307617 0.0334553i
\(111\) 5.10314 3.87931i 0.484369 0.368207i
\(112\) −0.203193 0.731837i −0.0192000 0.0691521i
\(113\) −14.0174 + 3.08546i −1.31864 + 0.290255i −0.817910 0.575346i \(-0.804867\pi\)
−0.500733 + 0.865602i \(0.666936\pi\)
\(114\) 3.32849 + 4.90916i 0.311742 + 0.459785i
\(115\) −20.7582 + 19.6632i −1.93571 + 1.83361i
\(116\) 3.97100 7.49010i 0.368698 0.695438i
\(117\) 0.0439321 0.00406152
\(118\) −3.17353 6.99491i −0.292147 0.643933i
\(119\) 3.47506 0.318558
\(120\) 1.88133 3.54856i 0.171741 0.323938i
\(121\) 7.51196 7.11570i 0.682905 0.646882i
\(122\) −1.82790 2.69595i −0.165490 0.244080i
\(123\) 3.91567 0.861903i 0.353064 0.0777152i
\(124\) 0.912570 + 3.28678i 0.0819512 + 0.295162i
\(125\) 19.6058 14.9039i 1.75359 1.33305i
\(126\) −0.755069 + 0.0821187i −0.0672669 + 0.00731571i
\(127\) −0.00399882 + 0.0737540i −0.000354838 + 0.00654460i −0.998705 0.0508663i \(-0.983802\pi\)
0.998351 + 0.0574109i \(0.0182845\pi\)
\(128\) −0.267528 + 0.963550i −0.0236464 + 0.0851666i
\(129\) 1.90101 + 4.77116i 0.167374 + 0.420078i
\(130\) −0.172325 0.0379315i −0.0151139 0.00332681i
\(131\) 0.815750 + 15.0456i 0.0712724 + 1.31454i 0.787344 + 0.616514i \(0.211456\pi\)
−0.716071 + 0.698027i \(0.754061\pi\)
\(132\) 0.130722 + 0.797371i 0.0113779 + 0.0694022i
\(133\) −2.52806 + 3.72861i −0.219211 + 0.323312i
\(134\) −2.65290 + 6.65827i −0.229175 + 0.575187i
\(135\) −3.19745 2.43064i −0.275193 0.209196i
\(136\) −3.92040 2.35883i −0.336171 0.202268i
\(137\) −11.9370 + 4.02206i −1.01985 + 0.343628i −0.779060 0.626950i \(-0.784303\pi\)
−0.240790 + 0.970577i \(0.577407\pi\)
\(138\) −5.16833 4.89570i −0.439958 0.416750i
\(139\) −2.01626 + 12.2987i −0.171017 + 1.04316i 0.752215 + 0.658917i \(0.228985\pi\)
−0.923233 + 0.384242i \(0.874463\pi\)
\(140\) 3.03268 + 0.329824i 0.256308 + 0.0278752i
\(141\) −4.10864 + 2.47209i −0.346010 + 0.208187i
\(142\) 10.1886 11.9949i 0.855006 1.00659i
\(143\) 0.0322169 0.0149051i 0.00269411 0.00124643i
\(144\) 0.907575 + 0.419889i 0.0756313 + 0.0349908i
\(145\) 22.0434 + 25.9515i 1.83060 + 2.15515i
\(146\) 5.10681 + 1.72068i 0.422643 + 0.142405i
\(147\) 3.00865 + 5.67491i 0.248149 + 0.468059i
\(148\) −3.00261 5.66352i −0.246813 0.465538i
\(149\) 7.09844 + 2.39174i 0.581527 + 0.195939i 0.594664 0.803975i \(-0.297285\pi\)
−0.0131371 + 0.999914i \(0.504182\pi\)
\(150\) 7.20650 + 8.48415i 0.588408 + 0.692728i
\(151\) −11.1644 5.16520i −0.908545 0.420338i −0.0907675 0.995872i \(-0.528932\pi\)
−0.817778 + 0.575534i \(0.804794\pi\)
\(152\) 5.38298 2.49043i 0.436617 0.202001i
\(153\) −2.96200 + 3.48714i −0.239464 + 0.281918i
\(154\) −0.525857 + 0.316398i −0.0423748 + 0.0254961i
\(155\) −13.6202 1.48128i −1.09400 0.118980i
\(156\) 0.00710742 0.0433533i 0.000569049 0.00347104i
\(157\) −14.3035 13.5490i −1.14154 1.08132i −0.995758 0.0920082i \(-0.970671\pi\)
−0.145782 0.989317i \(-0.546570\pi\)
\(158\) 0.129226 0.0435414i 0.0102807 0.00346397i
\(159\) −7.49044 4.50685i −0.594031 0.357417i
\(160\) −3.19745 2.43064i −0.252781 0.192159i
\(161\) 2.00134 5.02298i 0.157727 0.395866i
\(162\) 0.561187 0.827689i 0.0440910 0.0650294i
\(163\) −1.98082 12.0825i −0.155150 0.946371i −0.943555 0.331215i \(-0.892541\pi\)
0.788405 0.615156i \(-0.210907\pi\)
\(164\) −0.217065 4.00352i −0.0169499 0.312623i
\(165\) −3.16946 0.697651i −0.246742 0.0543120i
\(166\) −1.37017 3.43887i −0.106346 0.266908i
\(167\) −1.59374 + 5.74015i −0.123328 + 0.444186i −0.999269 0.0382317i \(-0.987828\pi\)
0.875941 + 0.482418i \(0.160241\pi\)
\(168\) −0.0411196 + 0.758407i −0.00317245 + 0.0585124i
\(169\) 12.9219 1.40534i 0.993990 0.108103i
\(170\) 14.6294 11.1210i 1.12202 0.852938i
\(171\) −1.58675 5.71497i −0.121342 0.437035i
\(172\) 5.01586 1.10407i 0.382456 0.0841849i
\(173\) 10.0434 + 14.8129i 0.763584 + 1.12620i 0.988411 + 0.151804i \(0.0485081\pi\)
−0.224826 + 0.974399i \(0.572182\pi\)
\(174\) −6.15473 + 5.83007i −0.466589 + 0.441976i
\(175\) −3.96028 + 7.46987i −0.299369 + 0.564669i
\(176\) 0.808015 0.0609064
\(177\) 0.773921 + 7.64206i 0.0581715 + 0.574412i
\(178\) 13.6165 1.02060
\(179\) 9.97224 18.8096i 0.745360 1.40590i −0.162536 0.986703i \(-0.551967\pi\)
0.907896 0.419195i \(-0.137688\pi\)
\(180\) −2.91591 + 2.76209i −0.217339 + 0.205874i
\(181\) 9.88792 + 14.5836i 0.734963 + 1.08399i 0.993030 + 0.117863i \(0.0376042\pi\)
−0.258067 + 0.966127i \(0.583085\pi\)
\(182\) 0.0325872 0.00717299i 0.00241553 0.000531697i
\(183\) 0.871393 + 3.13847i 0.0644152 + 0.232003i
\(184\) −5.66735 + 4.30821i −0.417803 + 0.317605i
\(185\) 25.5953 2.78366i 1.88180 0.204659i
\(186\) 0.184674 3.40611i 0.0135410 0.249748i
\(187\) −0.989034 + 3.56218i −0.0723253 + 0.260492i
\(188\) 1.77482 + 4.45446i 0.129442 + 0.324875i
\(189\) 0.741764 + 0.163275i 0.0539554 + 0.0118765i
\(190\) 1.28970 + 23.7872i 0.0935648 + 1.72570i
\(191\) 0.723664 + 4.41416i 0.0523625 + 0.319397i 1.00000 4.90507e-5i \(1.56133e-5\pi\)
−0.947638 + 0.319348i \(0.896536\pi\)
\(192\) 0.561187 0.827689i 0.0405002 0.0597333i
\(193\) 8.90683 22.3545i 0.641128 1.60911i −0.143860 0.989598i \(-0.545951\pi\)
0.784988 0.619511i \(-0.212669\pi\)
\(194\) −2.22384 1.69052i −0.159662 0.121372i
\(195\) 0.151192 + 0.0909694i 0.0108271 + 0.00651446i
\(196\) 6.08690 2.05091i 0.434778 0.146494i
\(197\) 14.5982 + 13.8281i 1.04008 + 0.985212i 0.999902 0.0139809i \(-0.00445039\pi\)
0.0401733 + 0.999193i \(0.487209\pi\)
\(198\) 0.130722 0.797371i 0.00929003 0.0566667i
\(199\) 13.3196 + 1.44859i 0.944200 + 0.102688i 0.567250 0.823546i \(-0.308007\pi\)
0.376950 + 0.926234i \(0.376973\pi\)
\(200\) 9.53826 5.73898i 0.674457 0.405807i
\(201\) 4.64002 5.46266i 0.327282 0.385306i
\(202\) −3.39627 + 1.57128i −0.238960 + 0.110555i
\(203\) −5.84383 2.70364i −0.410156 0.189759i
\(204\) 2.96200 + 3.48714i 0.207382 + 0.244149i
\(205\) 15.2605 + 5.14187i 1.06584 + 0.359123i
\(206\) −3.96382 7.47656i −0.276172 0.520916i
\(207\) 3.33458 + 6.28968i 0.231769 + 0.437163i
\(208\) −0.0416324 0.0140276i −0.00288669 0.000972637i
\(209\) −3.10258 3.65264i −0.214610 0.252658i
\(210\) −2.76861 1.28090i −0.191053 0.0883903i
\(211\) 22.3294 10.3307i 1.53722 0.711195i 0.545324 0.838225i \(-0.316407\pi\)
0.991899 + 0.127031i \(0.0405446\pi\)
\(212\) −5.65930 + 6.66264i −0.388682 + 0.457592i
\(213\) −13.4852 + 8.11379i −0.923992 + 0.555948i
\(214\) −0.150268 0.0163427i −0.0102721 0.00111716i
\(215\) −3.33726 + 20.3564i −0.227599 + 1.38829i
\(216\) −0.725995 0.687699i −0.0493977 0.0467920i
\(217\) 2.45519 0.827251i 0.166669 0.0561574i
\(218\) −4.29652 2.58513i −0.290997 0.175087i
\(219\) −4.29007 3.26122i −0.289896 0.220373i
\(220\) −1.20122 + 3.01484i −0.0809864 + 0.203260i
\(221\) 0.112801 0.166368i 0.00758779 0.0111911i
\(222\) 1.03706 + 6.32579i 0.0696029 + 0.424559i
\(223\) 0.222321 + 4.10046i 0.0148877 + 0.274587i 0.996494 + 0.0836690i \(0.0266638\pi\)
−0.981606 + 0.190918i \(0.938853\pi\)
\(224\) 0.741764 + 0.163275i 0.0495612 + 0.0109092i
\(225\) −4.12026 10.3411i −0.274684 0.689405i
\(226\) 3.83982 13.8298i 0.255421 0.919942i
\(227\) 1.24291 22.9240i 0.0824945 1.52152i −0.605523 0.795828i \(-0.707036\pi\)
0.688017 0.725694i \(-0.258481\pi\)
\(228\) −5.89640 + 0.641272i −0.390498 + 0.0424693i
\(229\) 4.40785 3.35076i 0.291279 0.221425i −0.449321 0.893370i \(-0.648334\pi\)
0.740601 + 0.671945i \(0.234541\pi\)
\(230\) −7.64938 27.5506i −0.504385 1.81663i
\(231\) 0.599356 0.131928i 0.0394348 0.00868025i
\(232\) 4.75754 + 7.01685i 0.312348 + 0.460679i
\(233\) −19.5291 + 18.4990i −1.27939 + 1.21191i −0.314503 + 0.949256i \(0.601838\pi\)
−0.964891 + 0.262651i \(0.915403\pi\)
\(234\) −0.0205782 + 0.0388145i −0.00134524 + 0.00253738i
\(235\) −19.2588 −1.25631
\(236\) 7.66659 + 0.472621i 0.499053 + 0.0307650i
\(237\) −0.136365 −0.00885783
\(238\) −1.62775 + 3.07025i −0.105511 + 0.199015i
\(239\) 18.7567 17.7673i 1.21327 1.14927i 0.228848 0.973462i \(-0.426504\pi\)
0.984424 0.175810i \(-0.0562545\pi\)
\(240\) 2.25397 + 3.32435i 0.145493 + 0.214586i
\(241\) −13.1798 + 2.90109i −0.848985 + 0.186876i −0.618094 0.786104i \(-0.712095\pi\)
−0.230891 + 0.972980i \(0.574164\pi\)
\(242\) 2.76815 + 9.96996i 0.177943 + 0.640893i
\(243\) −0.796093 + 0.605174i −0.0510694 + 0.0388219i
\(244\) 3.23811 0.352165i 0.207298 0.0225451i
\(245\) −1.39668 + 25.7602i −0.0892304 + 1.64576i
\(246\) −1.07263 + 3.86326i −0.0683883 + 0.246313i
\(247\) 0.0964463 + 0.242062i 0.00613673 + 0.0154020i
\(248\) −3.33136 0.733289i −0.211542 0.0465639i
\(249\) 0.200410 + 3.69635i 0.0127005 + 0.234247i
\(250\) 3.98428 + 24.3030i 0.251988 + 1.53706i
\(251\) 7.45053 10.9887i 0.470274 0.693602i −0.516394 0.856351i \(-0.672726\pi\)
0.986667 + 0.162750i \(0.0520363\pi\)
\(252\) 0.281128 0.705577i 0.0177094 0.0444472i
\(253\) 4.57931 + 3.48110i 0.287899 + 0.218855i
\(254\) −0.0632894 0.0380800i −0.00397113 0.00238935i
\(255\) −17.4145 + 5.86763i −1.09054 + 0.367445i
\(256\) −0.725995 0.687699i −0.0453747 0.0429812i
\(257\) 4.85359 29.6056i 0.302758 1.84674i −0.196773 0.980449i \(-0.563046\pi\)
0.499531 0.866296i \(-0.333506\pi\)
\(258\) −5.10583 0.555292i −0.317875 0.0345710i
\(259\) −4.17179 + 2.51008i −0.259222 + 0.155969i
\(260\) 0.114231 0.134483i 0.00708432 0.00834031i
\(261\) 7.69410 3.55967i 0.476253 0.220338i
\(262\) −13.6751 6.32677i −0.844850 0.390869i
\(263\) −8.09092 9.52537i −0.498907 0.587359i 0.453855 0.891076i \(-0.350048\pi\)
−0.952763 + 0.303716i \(0.901773\pi\)
\(264\) −0.765718 0.258000i −0.0471267 0.0158788i
\(265\) −16.4461 31.0207i −1.01028 1.90559i
\(266\) −2.11011 3.98008i −0.129379 0.244035i
\(267\) −12.9037 4.34776i −0.789693 0.266079i
\(268\) −4.64002 5.46266i −0.283435 0.333685i
\(269\) −12.2695 5.67650i −0.748087 0.346102i 0.00852677 0.999964i \(-0.497286\pi\)
−0.756614 + 0.653862i \(0.773148\pi\)
\(270\) 3.64521 1.68645i 0.221840 0.102634i
\(271\) −7.64751 + 9.00334i −0.464553 + 0.546914i −0.943692 0.330825i \(-0.892673\pi\)
0.479139 + 0.877739i \(0.340949\pi\)
\(272\) 3.92040 2.35883i 0.237709 0.143025i
\(273\) −0.0331717 0.00360764i −0.00200764 0.000218345i
\(274\) 2.03787 12.4305i 0.123113 0.750953i
\(275\) −6.53002 6.18556i −0.393775 0.373003i
\(276\) 6.74630 2.27309i 0.406080 0.136824i
\(277\) −15.1946 9.14228i −0.912955 0.549307i −0.0201731 0.999797i \(-0.506422\pi\)
−0.892781 + 0.450490i \(0.851249\pi\)
\(278\) −9.92158 7.54219i −0.595057 0.452350i
\(279\) −1.26258 + 3.16885i −0.0755889 + 0.189714i
\(280\) −1.71194 + 2.52492i −0.102308 + 0.150893i
\(281\) −1.44002 8.78373i −0.0859043 0.523993i −0.994364 0.106021i \(-0.966189\pi\)
0.908460 0.417973i \(-0.137259\pi\)
\(282\) −0.259597 4.78798i −0.0154588 0.285120i
\(283\) −15.8768 3.49474i −0.943775 0.207741i −0.283677 0.958920i \(-0.591554\pi\)
−0.660098 + 0.751179i \(0.729485\pi\)
\(284\) 5.82524 + 14.6202i 0.345664 + 0.867552i
\(285\) 6.37308 22.9538i 0.377509 1.35966i
\(286\) −0.00192181 + 0.0354457i −0.000113639 + 0.00209595i
\(287\) −3.02738 + 0.329247i −0.178700 + 0.0194348i
\(288\) −0.796093 + 0.605174i −0.0469102 + 0.0356602i
\(289\) 1.05235 + 3.79021i 0.0619028 + 0.222954i
\(290\) −33.2538 + 7.31970i −1.95273 + 0.429828i
\(291\) 1.56764 + 2.31210i 0.0918969 + 0.135538i
\(292\) −3.91232 + 3.70595i −0.228951 + 0.216874i
\(293\) −5.54476 + 10.4585i −0.323928 + 0.610994i −0.990979 0.134019i \(-0.957212\pi\)
0.667050 + 0.745013i \(0.267557\pi\)
\(294\) −6.42313 −0.374604
\(295\) −13.1608 + 27.9027i −0.766253 + 1.62456i
\(296\) 6.41023 0.372587
\(297\) −0.378481 + 0.713891i −0.0219617 + 0.0414242i
\(298\) −5.43810 + 5.15124i −0.315021 + 0.298403i
\(299\) −0.175512 0.258860i −0.0101501 0.0149703i
\(300\) −10.8714 + 2.39298i −0.627662 + 0.138159i
\(301\) −1.04359 3.75867i −0.0601514 0.216646i
\(302\) 9.79301 7.44445i 0.563524 0.428380i
\(303\) 3.72020 0.404596i 0.213720 0.0232434i
\(304\) −0.321107 + 5.92247i −0.0184167 + 0.339677i
\(305\) −3.49989 + 12.6055i −0.200403 + 0.721786i
\(306\) −1.69350 4.25037i −0.0968111 0.242977i
\(307\) −7.64069 1.68184i −0.436077 0.0959878i −0.00849404 0.999964i \(-0.502704\pi\)
−0.427583 + 0.903976i \(0.640635\pi\)
\(308\) −0.0332253 0.612805i −0.00189319 0.0349178i
\(309\) 1.36905 + 8.35083i 0.0778825 + 0.475062i
\(310\) 7.68854 11.3397i 0.436680 0.644054i
\(311\) −9.28222 + 23.2966i −0.526347 + 1.32103i 0.390063 + 0.920788i \(0.372453\pi\)
−0.916409 + 0.400242i \(0.868926\pi\)
\(312\) 0.0349740 + 0.0265866i 0.00198001 + 0.00150517i
\(313\) 11.7553 + 7.07291i 0.664447 + 0.399784i 0.807449 0.589938i \(-0.200848\pi\)
−0.143002 + 0.989722i \(0.545675\pi\)
\(314\) 18.6705 6.29084i 1.05364 0.355012i
\(315\) 2.21469 + 2.09787i 0.124784 + 0.118202i
\(316\) −0.0220613 + 0.134568i −0.00124105 + 0.00757005i
\(317\) 16.3561 + 1.77884i 0.918652 + 0.0999094i 0.555212 0.831709i \(-0.312637\pi\)
0.363439 + 0.931618i \(0.381602\pi\)
\(318\) 7.49044 4.50685i 0.420043 0.252732i
\(319\) 4.43464 5.22086i 0.248292 0.292312i
\(320\) 3.64521 1.68645i 0.203773 0.0942756i
\(321\) 0.137184 + 0.0634681i 0.00765686 + 0.00354244i
\(322\) 3.50042 + 4.12101i 0.195071 + 0.229655i
\(323\) −25.7165 8.66489i −1.43090 0.482127i
\(324\) 0.468408 + 0.883512i 0.0260227 + 0.0490840i
\(325\) 0.229069 + 0.432071i 0.0127065 + 0.0239670i
\(326\) 11.6028 + 3.90945i 0.642621 + 0.216524i
\(327\) 3.24618 + 3.82169i 0.179514 + 0.211340i
\(328\) 3.63884 + 1.68351i 0.200921 + 0.0929560i
\(329\) 3.30531 1.52920i 0.182228 0.0843076i
\(330\) 2.10098 2.47347i 0.115655 0.136160i
\(331\) 10.9261 6.57399i 0.600550 0.361339i −0.182585 0.983190i \(-0.558447\pi\)
0.783136 + 0.621851i \(0.213619\pi\)
\(332\) 3.68008 + 0.400233i 0.201971 + 0.0219656i
\(333\) 1.03706 6.32579i 0.0568305 0.346651i
\(334\) −4.32497 4.09683i −0.236652 0.224168i
\(335\) 27.2801 9.19174i 1.49047 0.502198i
\(336\) −0.650801 0.391574i −0.0355041 0.0213621i
\(337\) 15.6428 + 11.8913i 0.852116 + 0.647762i 0.937269 0.348606i \(-0.113345\pi\)
−0.0851532 + 0.996368i \(0.527138\pi\)
\(338\) −4.81108 + 12.0749i −0.261688 + 0.656788i
\(339\) −8.05468 + 11.8798i −0.437470 + 0.645220i
\(340\) 2.97298 + 18.1344i 0.161232 + 0.983474i
\(341\) 0.149219 + 2.75219i 0.00808068 + 0.149039i
\(342\) 5.79250 + 1.27503i 0.313222 + 0.0689455i
\(343\) −3.77361 9.47106i −0.203756 0.511389i
\(344\) −1.37401 + 4.94873i −0.0740816 + 0.266818i
\(345\) −1.54798 + 28.5508i −0.0833405 + 1.53713i
\(346\) −17.7918 + 1.93497i −0.956491 + 0.104025i
\(347\) 18.2184 13.8493i 0.978015 0.743467i 0.0114617 0.999934i \(-0.496352\pi\)
0.966553 + 0.256467i \(0.0825585\pi\)
\(348\) −2.26801 8.16863i −0.121578 0.437884i
\(349\) 18.5501 4.08319i 0.992965 0.218568i 0.311363 0.950291i \(-0.399214\pi\)
0.681602 + 0.731723i \(0.261283\pi\)
\(350\) −4.74470 6.99790i −0.253615 0.374054i
\(351\) 0.0318945 0.0302121i 0.00170240 0.00161260i
\(352\) −0.378481 + 0.713891i −0.0201731 + 0.0380505i
\(353\) 5.54098 0.294917 0.147458 0.989068i \(-0.452891\pi\)
0.147458 + 0.989068i \(0.452891\pi\)
\(354\) −7.11436 2.89584i −0.378124 0.153912i
\(355\) −63.2105 −3.35487
\(356\) −6.37807 + 12.0303i −0.338037 + 0.637606i
\(357\) 2.52287 2.38979i 0.133525 0.126481i
\(358\) 11.9475 + 17.6212i 0.631443 + 0.931308i
\(359\) 29.2347 6.43505i 1.54295 0.339629i 0.639659 0.768659i \(-0.279075\pi\)
0.903290 + 0.429030i \(0.141144\pi\)
\(360\) −1.07451 3.87003i −0.0566315 0.203968i
\(361\) 12.8798 9.79094i 0.677882 0.515313i
\(362\) −17.5164 + 1.90502i −0.920640 + 0.100126i
\(363\) 0.560181 10.3319i 0.0294019 0.542286i
\(364\) −0.00892671 + 0.0321511i −0.000467887 + 0.00168518i
\(365\) −8.01132 20.1069i −0.419332 1.05244i
\(366\) −3.18105 0.700202i −0.166276 0.0366001i
\(367\) 0.647325 + 11.9392i 0.0337901 + 0.623221i 0.965561 + 0.260175i \(0.0837804\pi\)
−0.931771 + 0.363046i \(0.881737\pi\)
\(368\) −1.15172 7.02518i −0.0600375 0.366213i
\(369\) 2.25003 3.31854i 0.117132 0.172756i
\(370\) −9.52966 + 23.9176i −0.495423 + 1.24342i
\(371\) 5.28570 + 4.01809i 0.274420 + 0.208609i
\(372\) 2.92284 + 1.75861i 0.151542 + 0.0911799i
\(373\) −5.47051 + 1.84323i −0.283252 + 0.0954388i −0.457342 0.889291i \(-0.651198\pi\)
0.174089 + 0.984730i \(0.444302\pi\)
\(374\) −2.68396 2.54238i −0.138784 0.131463i
\(375\) 3.98428 24.3030i 0.205747 1.25500i
\(376\) −4.76691 0.518433i −0.245835 0.0267361i
\(377\) −0.319128 + 0.192013i −0.0164359 + 0.00988917i
\(378\) −0.491704 + 0.578878i −0.0252905 + 0.0297743i
\(379\) 0.733459 0.339334i 0.0376753 0.0174304i −0.400961 0.916095i \(-0.631324\pi\)
0.438636 + 0.898665i \(0.355462\pi\)
\(380\) −21.6203 10.0026i −1.10910 0.513124i
\(381\) 0.0478174 + 0.0562950i 0.00244976 + 0.00288408i
\(382\) −4.23893 1.42826i −0.216883 0.0730762i
\(383\) −0.948681 1.78940i −0.0484754 0.0914342i 0.858091 0.513498i \(-0.171651\pi\)
−0.906566 + 0.422064i \(0.861306\pi\)
\(384\) 0.468408 + 0.883512i 0.0239034 + 0.0450865i
\(385\) 2.33587 + 0.787046i 0.119047 + 0.0401116i
\(386\) 15.5784 + 18.3403i 0.792920 + 0.933497i
\(387\) 4.66125 + 2.15652i 0.236945 + 0.109622i
\(388\) 2.53526 1.17294i 0.128708 0.0595468i
\(389\) −7.20709 + 8.48485i −0.365414 + 0.430199i −0.913886 0.405970i \(-0.866934\pi\)
0.548472 + 0.836169i \(0.315210\pi\)
\(390\) −0.151192 + 0.0909694i −0.00765592 + 0.00460642i
\(391\) 32.3806 + 3.52160i 1.63756 + 0.178095i
\(392\) −1.03915 + 6.33851i −0.0524848 + 0.320143i
\(393\) 10.9391 + 10.3621i 0.551804 + 0.522697i
\(394\) −19.0552 + 6.42044i −0.959987 + 0.323457i
\(395\) −0.469299 0.282368i −0.0236130 0.0142075i
\(396\) 0.643255 + 0.488990i 0.0323248 + 0.0245727i
\(397\) 9.69354 24.3290i 0.486505 1.22104i −0.456937 0.889499i \(-0.651054\pi\)
0.943442 0.331537i \(-0.107567\pi\)
\(398\) −7.51885 + 11.0895i −0.376886 + 0.555865i
\(399\) 0.728803 + 4.44550i 0.0364858 + 0.222553i
\(400\) 0.602657 + 11.1154i 0.0301329 + 0.555768i
\(401\) −18.8040 4.13908i −0.939028 0.206696i −0.281016 0.959703i \(-0.590671\pi\)
−0.658012 + 0.753007i \(0.728602\pi\)
\(402\) 2.65290 + 6.65827i 0.132315 + 0.332084i
\(403\) 0.0400911 0.144395i 0.00199708 0.00719283i
\(404\) 0.202595 3.73664i 0.0100795 0.185905i
\(405\) −3.99288 + 0.434252i −0.198408 + 0.0215782i
\(406\) 5.12600 3.89668i 0.254399 0.193389i
\(407\) −1.38568 4.99077i −0.0686856 0.247383i
\(408\) −4.46836 + 0.983559i −0.221217 + 0.0486934i
\(409\) 3.56639 + 5.26003i 0.176347 + 0.260092i 0.905582 0.424171i \(-0.139434\pi\)
−0.729235 + 0.684263i \(0.760124\pi\)
\(410\) −11.6911 + 11.0744i −0.577380 + 0.546923i
\(411\) −5.90027 + 11.1291i −0.291039 + 0.548958i
\(412\) 8.46231 0.416908
\(413\) 0.0431918 5.83383i 0.00212533 0.287064i
\(414\) −7.11896 −0.349878
\(415\) −6.96426 + 13.1360i −0.341862 + 0.644820i
\(416\) 0.0318945 0.0302121i 0.00156376 0.00148127i
\(417\) 6.99398 + 10.3154i 0.342497 + 0.505145i
\(418\) 4.68043 1.03024i 0.228927 0.0503907i
\(419\) −9.11885 32.8431i −0.445485 1.60449i −0.756437 0.654067i \(-0.773061\pi\)
0.310952 0.950426i \(-0.399352\pi\)
\(420\) 2.42853 1.84612i 0.118500 0.0900815i
\(421\) 20.0095 2.17616i 0.975204 0.106060i 0.393381 0.919376i \(-0.371305\pi\)
0.581823 + 0.813316i \(0.302340\pi\)
\(422\) −1.33200 + 24.5673i −0.0648408 + 1.19592i
\(423\) −1.28280 + 4.62024i −0.0623720 + 0.224644i
\(424\) −3.23566 8.12090i −0.157138 0.394386i
\(425\) −49.7403 10.9487i −2.41276 0.531089i
\(426\) −0.852038 15.7149i −0.0412814 0.761391i
\(427\) −0.400234 2.44132i −0.0193687 0.118144i
\(428\) 0.0848259 0.125109i 0.00410021 0.00604736i
\(429\) 0.0131391 0.0329766i 0.000634361 0.00159213i
\(430\) −16.4219 12.4836i −0.791934 0.602013i
\(431\) 25.7315 + 15.4821i 1.23944 + 0.745749i 0.975756 0.218860i \(-0.0702337\pi\)
0.263687 + 0.964608i \(0.415061\pi\)
\(432\) 0.947653 0.319302i 0.0455940 0.0153624i
\(433\) −23.9961 22.7303i −1.15318 1.09235i −0.994470 0.105023i \(-0.966508\pi\)
−0.158708 0.987326i \(-0.550733\pi\)
\(434\) −0.419147 + 2.55668i −0.0201197 + 0.122725i
\(435\) 33.8502 + 3.68143i 1.62299 + 0.176511i
\(436\) 4.29652 2.58513i 0.205766 0.123805i
\(437\) −27.3350 + 32.1813i −1.30761 + 1.53944i
\(438\) 4.89084 2.26274i 0.233693 0.108118i
\(439\) 23.7760 + 11.0000i 1.13477 + 0.525000i 0.895105 0.445856i \(-0.147101\pi\)
0.239664 + 0.970856i \(0.422963\pi\)
\(440\) −2.10098 2.47347i −0.100161 0.117918i
\(441\) 6.08690 + 2.05091i 0.289852 + 0.0976626i
\(442\) 0.0941517 + 0.177589i 0.00447834 + 0.00844705i
\(443\) 9.16055 + 17.2786i 0.435231 + 0.820933i 0.999991 0.00432257i \(-0.00137592\pi\)
−0.564760 + 0.825255i \(0.691031\pi\)
\(444\) −6.07468 2.04680i −0.288291 0.0971367i
\(445\) −35.4053 41.6823i −1.67837 1.97593i
\(446\) −3.72695 1.72427i −0.176476 0.0816465i
\(447\) 6.79823 3.14520i 0.321545 0.148763i
\(448\) −0.491704 + 0.578878i −0.0232308 + 0.0273494i
\(449\) −22.9116 + 13.7854i −1.08126 + 0.650576i −0.940612 0.339483i \(-0.889748\pi\)
−0.140653 + 0.990059i \(0.544920\pi\)
\(450\) 11.0664 + 1.20355i 0.521677 + 0.0567357i
\(451\) 0.524119 3.19698i 0.0246798 0.150540i
\(452\) 10.4202 + 9.87050i 0.490123 + 0.464269i
\(453\) −11.6574 + 3.92783i −0.547712 + 0.184546i
\(454\) 19.6715 + 11.8359i 0.923228 + 0.555488i
\(455\) −0.106690 0.0811039i −0.00500172 0.00380221i
\(456\) 2.19535 5.50991i 0.102807 0.258025i
\(457\) −0.413715 + 0.610184i −0.0193528 + 0.0285432i −0.837242 0.546832i \(-0.815834\pi\)
0.817890 + 0.575375i \(0.195144\pi\)
\(458\) 0.895764 + 5.46392i 0.0418563 + 0.255312i
\(459\) 0.247703 + 4.56861i 0.0115618 + 0.213245i
\(460\) 27.9243 + 6.14660i 1.30198 + 0.286587i
\(461\) −7.06842 17.7404i −0.329209 0.826253i −0.996665 0.0816032i \(-0.973996\pi\)
0.667456 0.744649i \(-0.267383\pi\)
\(462\) −0.164183 + 0.591335i −0.00763850 + 0.0275114i
\(463\) −0.492517 + 9.08394i −0.0228892 + 0.422166i 0.964523 + 0.263999i \(0.0850414\pi\)
−0.987412 + 0.158168i \(0.949441\pi\)
\(464\) −8.42794 + 0.916594i −0.391257 + 0.0425518i
\(465\) −10.9069 + 8.29118i −0.505794 + 0.384494i
\(466\) −7.19645 25.9193i −0.333369 1.20069i
\(467\) 16.9483 3.73061i 0.784276 0.172632i 0.195258 0.980752i \(-0.437446\pi\)
0.589018 + 0.808120i \(0.299515\pi\)
\(468\) −0.0246541 0.0363621i −0.00113964 0.00168084i
\(469\) −3.95212 + 3.74365i −0.182492 + 0.172866i
\(470\) 9.02100 17.0154i 0.416108 0.784862i
\(471\) −19.7019 −0.907814
\(472\) −4.00866 + 6.55215i −0.184514 + 0.301587i
\(473\) 4.14991 0.190813
\(474\) 0.0638743 0.120480i 0.00293384 0.00553382i
\(475\) 47.9330 45.4046i 2.19932 2.08330i
\(476\) −1.95016 2.87627i −0.0893853 0.131833i
\(477\) −8.53739 + 1.87922i −0.390900 + 0.0860436i
\(478\) 6.91183 + 24.8942i 0.316140 + 1.13863i
\(479\) 1.47230 1.11921i 0.0672710 0.0511381i −0.570998 0.820951i \(-0.693444\pi\)
0.638269 + 0.769813i \(0.279651\pi\)
\(480\) −3.99288 + 0.434252i −0.182249 + 0.0198208i
\(481\) −0.0152463 + 0.281202i −0.000695172 + 0.0128217i
\(482\) 3.61038 13.0034i 0.164448 0.592289i
\(483\) −2.00134 5.02298i −0.0910640 0.228553i
\(484\) −10.1052 2.22432i −0.459327 0.101106i
\(485\) 0.607420 + 11.2032i 0.0275815 + 0.508711i
\(486\) −0.161782 0.986827i −0.00733858 0.0447634i
\(487\) 6.01939 8.87793i 0.272764 0.402297i −0.666493 0.745511i \(-0.732205\pi\)
0.939257 + 0.343214i \(0.111516\pi\)
\(488\) −1.20561 + 3.02586i −0.0545756 + 0.136974i
\(489\) −9.74717 7.40960i −0.440782 0.335074i
\(490\) −22.1052 13.3003i −0.998612 0.600845i
\(491\) 32.6554 11.0029i 1.47372 0.496553i 0.536080 0.844167i \(-0.319905\pi\)
0.937638 + 0.347614i \(0.113008\pi\)
\(492\) −2.91081 2.75727i −0.131229 0.124307i
\(493\) 6.27519 38.2770i 0.282620 1.72391i
\(494\) −0.259041 0.0281724i −0.0116548 0.00126754i
\(495\) −2.78079 + 1.67314i −0.124987 + 0.0752022i
\(496\) 2.20831 2.59982i 0.0991560 0.116735i
\(497\) 10.8486 5.01908i 0.486625 0.225137i
\(498\) −3.35964 1.55434i −0.150549 0.0696515i
\(499\) −2.40286 2.82886i −0.107567 0.126637i 0.705744 0.708467i \(-0.250613\pi\)
−0.813311 + 0.581830i \(0.802337\pi\)
\(500\) −23.3383 7.86359i −1.04372 0.351670i
\(501\) 2.79045 + 5.26334i 0.124668 + 0.235149i
\(502\) 6.21877 + 11.7298i 0.277557 + 0.523529i
\(503\) 21.7167 + 7.31721i 0.968299 + 0.326258i 0.758635 0.651515i \(-0.225866\pi\)
0.209664 + 0.977773i \(0.432763\pi\)
\(504\) 0.491704 + 0.578878i 0.0219022 + 0.0257853i
\(505\) 13.6409 + 6.31093i 0.607010 + 0.280833i
\(506\) −5.22058 + 2.41530i −0.232083 + 0.107373i
\(507\) 8.41477 9.90664i 0.373713 0.439969i
\(508\) 0.0632894 0.0380800i 0.00280801 0.00168953i
\(509\) 1.90139 + 0.206789i 0.0842778 + 0.00916577i 0.150161 0.988662i \(-0.452021\pi\)
−0.0658829 + 0.997827i \(0.520986\pi\)
\(510\) 2.97298 18.1344i 0.131646 0.803004i
\(511\) 2.97149 + 2.81474i 0.131451 + 0.124517i
\(512\) 0.947653 0.319302i 0.0418807 0.0141113i
\(513\) −5.08216 3.05783i −0.224383 0.135007i
\(514\) 23.8834 + 18.1557i 1.05345 + 0.800814i
\(515\) −12.5804 + 31.5743i −0.554357 + 1.39133i
\(516\) 2.88222 4.25096i 0.126883 0.187138i
\(517\) 0.626816 + 3.82341i 0.0275673 + 0.168153i
\(518\) −0.263586 4.86157i −0.0115813 0.213605i
\(519\) 17.4783 + 3.84726i 0.767210 + 0.168876i
\(520\) 0.0653109 + 0.163918i 0.00286407 + 0.00718827i
\(521\) −6.61779 + 23.8351i −0.289931 + 1.04424i 0.664863 + 0.746965i \(0.268490\pi\)
−0.954793 + 0.297270i \(0.903924\pi\)
\(522\) −0.458970 + 8.46521i −0.0200886 + 0.370512i
\(523\) −35.1175 + 3.81926i −1.53558 + 0.167004i −0.836472 0.548010i \(-0.815385\pi\)
−0.699109 + 0.715015i \(0.746420\pi\)
\(524\) 11.9953 9.11859i 0.524017 0.398348i
\(525\) 2.26189 + 8.14657i 0.0987168 + 0.355546i
\(526\) 12.2056 2.68666i 0.532191 0.117144i
\(527\) 8.75842 + 12.9177i 0.381523 + 0.562704i
\(528\) 0.586615 0.555672i 0.0255292 0.0241825i
\(529\) 12.9653 24.4552i 0.563710 1.06327i
\(530\) 35.1107 1.52511
\(531\) 5.81730 + 5.01587i 0.252449 + 0.217670i
\(532\) 4.50484 0.195310
\(533\) −0.0825061 + 0.155623i −0.00357374 + 0.00674078i
\(534\) 9.88550 9.36404i 0.427787 0.405222i
\(535\) 0.340697 + 0.502490i 0.0147296 + 0.0217246i
\(536\) 6.99975 1.54076i 0.302343 0.0665508i
\(537\) −5.69558 20.5136i −0.245782 0.885228i
\(538\) 10.7624 8.18137i 0.464001 0.352724i
\(539\) 5.15956 0.561136i 0.222238 0.0241698i
\(540\) −0.217445 + 4.01054i −0.00935734 + 0.172586i
\(541\) 1.37404 4.94886i 0.0590748 0.212768i −0.928122 0.372277i \(-0.878577\pi\)
0.987197 + 0.159509i \(0.0509910\pi\)
\(542\) −4.37240 10.9739i −0.187811 0.471370i
\(543\) 17.2077 + 3.78770i 0.738454 + 0.162546i
\(544\) 0.247703 + 4.56861i 0.0106202 + 0.195878i
\(545\) 3.25821 + 19.8742i 0.139566 + 0.851317i
\(546\) 0.0187253 0.0276178i 0.000801370 0.00118193i
\(547\) 4.70800 11.8162i 0.201299 0.505223i −0.793322 0.608803i \(-0.791650\pi\)
0.994621 + 0.103579i \(0.0330295\pi\)
\(548\) 10.0279 + 7.62303i 0.428372 + 0.325640i
\(549\) 2.79095 + 1.67926i 0.119115 + 0.0716691i
\(550\) 8.52373 2.87198i 0.363453 0.122462i
\(551\) 36.5047 + 34.5791i 1.55515 + 1.47312i
\(552\) −1.15172 + 7.02518i −0.0490204 + 0.299011i
\(553\) 0.102965 + 0.0111981i 0.00437850 + 0.000476191i
\(554\) 15.1946 9.14228i 0.645556 0.388418i
\(555\) 16.6678 19.6228i 0.707507 0.832941i
\(556\) 11.3110 5.23301i 0.479692 0.221929i
\(557\) −2.98568 1.38132i −0.126507 0.0585286i 0.355614 0.934633i \(-0.384272\pi\)
−0.482122 + 0.876104i \(0.660134\pi\)
\(558\) −2.20831 2.59982i −0.0934852 0.110059i
\(559\) −0.213821 0.0720447i −0.00904367 0.00304717i
\(560\) −1.42891 2.69521i −0.0603824 0.113893i
\(561\) 1.73167 + 3.26628i 0.0731113 + 0.137903i
\(562\) 8.43505 + 2.84210i 0.355811 + 0.119887i
\(563\) −24.4703 28.8087i −1.03130 1.21414i −0.976472 0.215646i \(-0.930814\pi\)
−0.0548292 0.998496i \(-0.517461\pi\)
\(564\) 4.35184 + 2.01338i 0.183245 + 0.0847784i
\(565\) −52.3195 + 24.2056i −2.20110 + 1.01834i
\(566\) 10.5244 12.3903i 0.442376 0.520805i
\(567\) 0.650801 0.391574i 0.0273311 0.0164446i
\(568\) −15.6457 1.70158i −0.656481 0.0713966i
\(569\) −5.56762 + 33.9610i −0.233407 + 1.42372i 0.566731 + 0.823903i \(0.308208\pi\)
−0.800138 + 0.599816i \(0.795241\pi\)
\(570\) 17.2947 + 16.3824i 0.724396 + 0.686185i
\(571\) 5.12714 1.72754i 0.214564 0.0722951i −0.209967 0.977709i \(-0.567336\pi\)
0.424531 + 0.905413i \(0.360439\pi\)
\(572\) −0.0304165 0.0183010i −0.00127178 0.000765204i
\(573\) 3.56099 + 2.70699i 0.148762 + 0.113086i
\(574\) 1.12715 2.82895i 0.0470465 0.118078i
\(575\) −44.4718 + 65.5910i −1.85460 + 2.73533i
\(576\) −0.161782 0.986827i −0.00674092 0.0411178i
\(577\) 1.43074 + 26.3885i 0.0595626 + 1.09857i 0.863662 + 0.504072i \(0.168165\pi\)
−0.804099 + 0.594495i \(0.797352\pi\)
\(578\) −3.84163 0.845606i −0.159791 0.0351726i
\(579\) −8.90683 22.3545i −0.370155 0.929020i
\(580\) 9.10929 32.8087i 0.378243 1.36231i
\(581\) 0.152216 2.80746i 0.00631498 0.116473i
\(582\) −2.77707 + 0.302024i −0.115113 + 0.0125193i
\(583\) −5.62319 + 4.27464i −0.232889 + 0.177037i
\(584\) −1.44168 5.19248i −0.0596573 0.214866i
\(585\) 0.172325 0.0379315i 0.00712475 0.00156828i
\(586\) −6.64302 9.79772i −0.274421 0.404740i
\(587\) −9.22572 + 8.73906i −0.380786 + 0.360700i −0.854023 0.520236i \(-0.825844\pi\)
0.473237 + 0.880935i \(0.343086\pi\)
\(588\) 3.00865 5.67491i 0.124075 0.234029i
\(589\) −20.2319 −0.833640
\(590\) −18.4877 24.6976i −0.761128 1.01679i
\(591\) 20.1078 0.827123
\(592\) −3.00261 + 5.66352i −0.123406 + 0.232769i
\(593\) −33.0208 + 31.2790i −1.35600 + 1.28447i −0.432110 + 0.901821i \(0.642231\pi\)
−0.923892 + 0.382653i \(0.875011\pi\)
\(594\) −0.453448 0.668785i −0.0186052 0.0274406i
\(595\) 13.6310 3.00041i 0.558816 0.123005i
\(596\) −2.00393 7.21751i −0.0820843 0.295641i
\(597\) 10.6662 8.10820i 0.436537 0.331846i
\(598\) 0.310917 0.0338143i 0.0127143 0.00138277i
\(599\) 0.788053 14.5348i 0.0321990 0.593875i −0.937261 0.348627i \(-0.886648\pi\)
0.969460 0.245248i \(-0.0788693\pi\)
\(600\) 2.97804 10.7259i 0.121578 0.437884i
\(601\) 12.2576 + 30.7642i 0.499997 + 1.25490i 0.935057 + 0.354497i \(0.115348\pi\)
−0.435060 + 0.900402i \(0.643273\pi\)
\(602\) 3.80965 + 0.838568i 0.155270 + 0.0341775i
\(603\) −0.388031 7.15681i −0.0158018 0.291448i
\(604\) 1.99013 + 12.1393i 0.0809774 + 0.493940i
\(605\) 23.3220 34.3974i 0.948176 1.39845i
\(606\) −1.38511 + 3.47635i −0.0562661 + 0.141217i
\(607\) 10.7806 + 8.19523i 0.437573 + 0.332634i 0.800658 0.599122i \(-0.204484\pi\)
−0.363085 + 0.931756i \(0.618277\pi\)
\(608\) −5.08216 3.05783i −0.206109 0.124012i
\(609\) −6.10189 + 2.05597i −0.247261 + 0.0833119i
\(610\) −9.49769 8.99669i −0.384550 0.364265i
\(611\) 0.0340802 0.207880i 0.00137874 0.00840992i
\(612\) 4.54850 + 0.494680i 0.183862 + 0.0199962i
\(613\) 10.2032 6.13907i 0.412104 0.247955i −0.294373 0.955691i \(-0.595111\pi\)
0.706477 + 0.707736i \(0.250283\pi\)
\(614\) 5.06489 5.96285i 0.204402 0.240641i
\(615\) 14.6151 6.76168i 0.589339 0.272657i
\(616\) 0.556983 + 0.257688i 0.0224415 + 0.0103825i
\(617\) −17.6263 20.7513i −0.709607 0.835414i 0.282701 0.959208i \(-0.408770\pi\)
−0.992308 + 0.123794i \(0.960494\pi\)
\(618\) −8.01934 2.70203i −0.322585 0.108692i
\(619\) −6.11463 11.5334i −0.245768 0.463567i 0.729683 0.683786i \(-0.239668\pi\)
−0.975451 + 0.220219i \(0.929323\pi\)
\(620\) 6.41743 + 12.1046i 0.257730 + 0.486130i
\(621\) 6.74630 + 2.27309i 0.270720 + 0.0912161i
\(622\) −16.2350 19.1133i −0.650963 0.766373i
\(623\) 9.38615 + 4.34249i 0.376048 + 0.173978i
\(624\) −0.0398717 + 0.0184466i −0.00159614 + 0.000738455i
\(625\) 28.0033 32.9681i 1.12013 1.31872i
\(626\) −11.7553 + 7.07291i −0.469835 + 0.282690i
\(627\) −4.76438 0.518157i −0.190271 0.0206932i
\(628\) −3.18741 + 19.4423i −0.127191 + 0.775833i
\(629\) −21.2926 20.1695i −0.848993 0.804209i
\(630\) −2.89087 + 0.974049i −0.115175 + 0.0388070i
\(631\) −2.85246 1.71627i −0.113555 0.0683237i 0.457643 0.889136i \(-0.348694\pi\)
−0.571198 + 0.820812i \(0.693521\pi\)
\(632\) −0.108559 0.0825243i −0.00431824 0.00328264i
\(633\) 9.10666 22.8560i 0.361957 0.908444i
\(634\) −9.23297 + 13.6176i −0.366688 + 0.540825i
\(635\) 0.0479946 + 0.292754i 0.00190461 + 0.0116176i
\(636\) 0.473270 + 8.72895i 0.0187664 + 0.346125i
\(637\) −0.275584 0.0606606i −0.0109190 0.00240346i
\(638\) 2.53547 + 6.36355i 0.100380 + 0.251935i
\(639\) −4.21036 + 15.1644i −0.166559 + 0.599893i
\(640\) −0.217445 + 4.01054i −0.00859527 + 0.158530i
\(641\) 5.99382 0.651868i 0.236742 0.0257472i 0.0110211 0.999939i \(-0.496492\pi\)
0.225721 + 0.974192i \(0.427526\pi\)
\(642\) −0.120333 + 0.0914747i −0.00474916 + 0.00361022i
\(643\) 3.76525 + 13.5612i 0.148487 + 0.534802i 0.999946 + 0.0103812i \(0.00330448\pi\)
−0.851459 + 0.524421i \(0.824282\pi\)
\(644\) −5.28059 + 1.16234i −0.208084 + 0.0458028i
\(645\) 11.5762 + 17.0737i 0.455814 + 0.672275i
\(646\) 19.7013 18.6621i 0.775139 0.734251i
\(647\) 10.8715 20.5058i 0.427402 0.806165i −0.572504 0.819902i \(-0.694028\pi\)
0.999906 + 0.0137370i \(0.00437276\pi\)
\(648\) −1.00000 −0.0392837
\(649\) 5.96780 + 1.70464i 0.234257 + 0.0669129i
\(650\) −0.489038 −0.0191816
\(651\) 1.21356 2.28902i 0.0475631 0.0897136i
\(652\) −8.88891 + 8.42002i −0.348117 + 0.329754i
\(653\) 24.8816 + 36.6976i 0.973692 + 1.43609i 0.898527 + 0.438918i \(0.144638\pi\)
0.0751651 + 0.997171i \(0.476052\pi\)
\(654\) −4.89705 + 1.07792i −0.191490 + 0.0421501i
\(655\) 16.1904 + 58.3125i 0.632610 + 2.27846i
\(656\) −3.19186 + 2.42639i −0.124621 + 0.0947345i
\(657\) −5.35731 + 0.582643i −0.209009 + 0.0227311i
\(658\) −0.197169 + 3.63658i −0.00768646 + 0.141768i
\(659\) 11.5902 41.7441i 0.451490 1.62612i −0.291327 0.956624i \(-0.594097\pi\)
0.742816 0.669495i \(-0.233490\pi\)
\(660\) 1.20122 + 3.01484i 0.0467575 + 0.117352i
\(661\) −33.5437 7.38352i −1.30470 0.287186i −0.492369 0.870386i \(-0.663869\pi\)
−0.812328 + 0.583201i \(0.801800\pi\)
\(662\) 0.690342 + 12.7326i 0.0268309 + 0.494867i
\(663\) −0.0325187 0.198356i −0.00126292 0.00770349i
\(664\) −2.07739 + 3.06392i −0.0806184 + 0.118903i
\(665\) −6.69705 + 16.8083i −0.259700 + 0.651799i
\(666\) 5.10314 + 3.87931i 0.197743 + 0.150320i
\(667\) −51.7130 31.1147i −2.00234 1.20477i
\(668\) 5.64545 1.90217i 0.218429 0.0735973i
\(669\) 2.98129 + 2.82403i 0.115263 + 0.109183i
\(670\) −4.65722 + 28.4078i −0.179924 + 1.09749i
\(671\) 2.61644 + 0.284555i 0.101006 + 0.0109851i
\(672\) 0.650801 0.391574i 0.0251052 0.0151053i
\(673\) −7.96116 + 9.37260i −0.306880 + 0.361287i −0.893885 0.448296i \(-0.852031\pi\)
0.587005 + 0.809583i \(0.300307\pi\)
\(674\) −17.8333 + 8.25058i −0.686915 + 0.317801i
\(675\) −10.1028 4.67407i −0.388859 0.179905i
\(676\) −8.41477 9.90664i −0.323645 0.381024i
\(677\) −33.2894 11.2165i −1.27942 0.431086i −0.404135 0.914699i \(-0.632427\pi\)
−0.875281 + 0.483614i \(0.839324\pi\)
\(678\) −6.72303 12.6810i −0.258197 0.487010i
\(679\) −0.993812 1.87453i −0.0381390 0.0719378i
\(680\) −17.4145 5.86763i −0.667816 0.225013i
\(681\) −14.8625 17.4975i −0.569533 0.670506i
\(682\) −2.50149 1.15731i −0.0957870 0.0443158i
\(683\) −40.2238 + 18.6095i −1.53912 + 0.712074i −0.992147 0.125076i \(-0.960083\pi\)
−0.546975 + 0.837149i \(0.684221\pi\)
\(684\) −3.83975 + 4.52051i −0.146817 + 0.172846i
\(685\) −43.3506 + 26.0832i −1.65634 + 0.996588i
\(686\) 10.1354 + 1.10229i 0.386971 + 0.0420856i
\(687\) 0.895764 5.46392i 0.0341755 0.208461i
\(688\) −3.72867 3.53198i −0.142154 0.134655i
\(689\) 0.363940 0.122626i 0.0138650 0.00467167i
\(690\) −24.4999 14.7411i −0.932696 0.561185i
\(691\) 25.1063 + 19.0853i 0.955090 + 0.726040i 0.961748 0.273937i \(-0.0883261\pi\)
−0.00665773 + 0.999978i \(0.502119\pi\)
\(692\) 6.62424 16.6256i 0.251816 0.632010i
\(693\) 0.344403 0.507957i 0.0130828 0.0192957i
\(694\) 3.70234 + 22.5833i 0.140539 + 0.857250i
\(695\) 2.70998 + 49.9827i 0.102795 + 1.89595i
\(696\) 8.27944 + 1.82244i 0.313831 + 0.0690795i
\(697\) −6.78993 17.0415i −0.257187 0.645491i
\(698\) −5.08149 + 18.3019i −0.192337 + 0.692736i
\(699\) −1.45632 + 26.8603i −0.0550832 + 1.01595i
\(700\) 8.40519 0.914119i 0.317686 0.0345505i
\(701\) −4.61260 + 3.50641i −0.174215 + 0.132435i −0.688648 0.725096i \(-0.741796\pi\)
0.514433 + 0.857531i \(0.328002\pi\)
\(702\) 0.0117531 + 0.0423307i 0.000443591 + 0.00159767i
\(703\) 37.1312 8.17321i 1.40043 0.308258i
\(704\) −0.453448 0.668785i −0.0170900 0.0252058i
\(705\) −13.9818 + 13.2443i −0.526586 + 0.498809i
\(706\) −2.59544 + 4.89553i −0.0976808 + 0.184246i
\(707\) −2.84223 −0.106893
\(708\) 5.89093 4.92919i 0.221395 0.185250i
\(709\) −39.4733 −1.48245 −0.741226 0.671255i \(-0.765755\pi\)
−0.741226 + 0.671255i \(0.765755\pi\)
\(710\) 29.6084 55.8473i 1.11118 2.09591i
\(711\) −0.0990001 + 0.0937778i −0.00371279 + 0.00351694i
\(712\) −7.64139 11.2702i −0.286373 0.422369i
\(713\) 23.7158 5.22025i 0.888165 0.195500i
\(714\) 0.929676 + 3.34839i 0.0347922 + 0.125310i
\(715\) 0.113502 0.0862822i 0.00424475 0.00322677i
\(716\) −21.1648 + 2.30181i −0.790966 + 0.0860228i
\(717\) 1.39873 25.7980i 0.0522364 0.963443i
\(718\) −8.00835 + 28.8435i −0.298869 + 1.07643i
\(719\) −10.6981 26.8503i −0.398973 1.00135i −0.981998 0.188892i \(-0.939511\pi\)
0.583025 0.812454i \(-0.301869\pi\)
\(720\) 3.92252 + 0.863413i 0.146184 + 0.0321775i
\(721\) −0.347967 6.41788i −0.0129590 0.239014i
\(722\) 2.61742 + 15.9656i 0.0974105 + 0.594178i
\(723\) −7.57339 + 11.1699i −0.281658 + 0.415414i
\(724\) 6.52170 16.3682i 0.242377 0.608321i
\(725\) 75.1276 + 57.1105i 2.79017 + 2.12103i
\(726\) 8.86600 + 5.33449i 0.329048 + 0.197982i
\(727\) 26.5836 8.95705i 0.985930 0.332198i 0.220266 0.975440i \(-0.429307\pi\)
0.765664 + 0.643241i \(0.222411\pi\)
\(728\) −0.0242245 0.0229467i −0.000897821 0.000850461i
\(729\) −0.161782 + 0.986827i −0.00599193 + 0.0365491i
\(730\) 21.5173 + 2.34014i 0.796389 + 0.0866126i
\(731\) 20.1349 12.1148i 0.744717 0.448081i
\(732\) 2.10867 2.48251i 0.0779385 0.0917563i
\(733\) 4.22415 1.95430i 0.156023 0.0721837i −0.340324 0.940308i \(-0.610537\pi\)
0.496346 + 0.868125i \(0.334675\pi\)
\(734\) −10.8516 5.02050i −0.400541 0.185310i
\(735\) 16.7013 + 19.6623i 0.616036 + 0.725254i
\(736\) 6.74630 + 2.27309i 0.248672 + 0.0837874i
\(737\) −2.71269 5.11668i −0.0999234 0.188476i
\(738\) 1.87804 + 3.54236i 0.0691316 + 0.130396i
\(739\) 12.3556 + 4.16308i 0.454507 + 0.153141i 0.537238 0.843431i \(-0.319468\pi\)
−0.0827310 + 0.996572i \(0.526364\pi\)
\(740\) −16.6678 19.6228i −0.612719 0.721348i
\(741\) 0.236485 + 0.109410i 0.00868751 + 0.00401927i
\(742\) −6.02590 + 2.78788i −0.221218 + 0.102346i
\(743\) −18.5914 + 21.8875i −0.682054 + 0.802976i −0.988868 0.148793i \(-0.952461\pi\)
0.306814 + 0.951769i \(0.400737\pi\)
\(744\) −2.92284 + 1.75861i −0.107156 + 0.0644739i
\(745\) 29.9089 + 3.25278i 1.09578 + 0.119173i
\(746\) 0.933918 5.69665i 0.0341932 0.208569i
\(747\) 2.68747 + 2.54571i 0.0983295 + 0.0931427i
\(748\) 3.50341 1.18044i 0.128097 0.0431610i
\(749\) −0.0983714 0.0591881i −0.00359441 0.00216269i
\(750\) 19.6058 + 14.9039i 0.715901 + 0.544214i
\(751\) 3.42389 8.59331i 0.124939 0.313574i −0.853181 0.521616i \(-0.825330\pi\)
0.978120 + 0.208041i \(0.0667089\pi\)
\(752\) 2.69090 3.96878i 0.0981271 0.144727i
\(753\) −2.14788 13.1015i −0.0782731 0.477445i
\(754\) −0.0201635 0.371894i −0.000734312 0.0135436i
\(755\) −48.2523 10.6211i −1.75608 0.386543i
\(756\) −0.281128 0.705577i −0.0102245 0.0256616i
\(757\) −1.24378 + 4.47968i −0.0452059 + 0.162817i −0.982708 0.185163i \(-0.940719\pi\)
0.937502 + 0.347980i \(0.113132\pi\)
\(758\) −0.0437525 + 0.806967i −0.00158916 + 0.0293104i
\(759\) 5.71851