Properties

Label 300.2.r.a.59.1
Level $300$
Weight $2$
Character 300.59
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.r (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 59.1
Character \(\chi\) \(=\) 300.59
Dual form 300.2.r.a.239.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.41059 - 0.101112i) q^{2} +(-1.18137 + 1.26664i) q^{3} +(1.97955 + 0.285257i) q^{4} +(-0.243022 + 2.22282i) q^{5} +(1.79450 - 1.66726i) q^{6} -4.47645 q^{7} +(-2.76350 - 0.602540i) q^{8} +(-0.208752 - 2.99273i) q^{9} +O(q^{10})\) \(q+(-1.41059 - 0.101112i) q^{2} +(-1.18137 + 1.26664i) q^{3} +(1.97955 + 0.285257i) q^{4} +(-0.243022 + 2.22282i) q^{5} +(1.79450 - 1.66726i) q^{6} -4.47645 q^{7} +(-2.76350 - 0.602540i) q^{8} +(-0.208752 - 2.99273i) q^{9} +(0.567561 - 3.11093i) q^{10} +(1.05245 + 0.764650i) q^{11} +(-2.69989 + 2.17039i) q^{12} +(0.736621 + 1.01387i) q^{13} +(6.31445 + 0.452624i) q^{14} +(-2.52842 - 2.93379i) q^{15} +(3.83726 + 1.12936i) q^{16} +(1.61336 - 4.96542i) q^{17} +(-0.00813776 + 4.24263i) q^{18} +(-3.21344 - 1.04411i) q^{19} +(-1.11515 + 4.33087i) q^{20} +(5.28832 - 5.67004i) q^{21} +(-1.40726 - 1.18503i) q^{22} +(3.06736 - 4.22186i) q^{23} +(4.02791 - 2.78854i) q^{24} +(-4.88188 - 1.08039i) q^{25} +(-0.936558 - 1.50464i) q^{26} +(4.03732 + 3.27109i) q^{27} +(-8.86136 - 1.27694i) q^{28} +(-6.47783 + 2.10477i) q^{29} +(3.26993 + 4.39404i) q^{30} +(-6.27594 - 2.03918i) q^{31} +(-5.29862 - 1.98107i) q^{32} +(-2.21186 + 0.429744i) q^{33} +(-2.77786 + 6.84106i) q^{34} +(1.08788 - 9.95035i) q^{35} +(0.440462 - 5.98381i) q^{36} +(-2.72687 - 3.75321i) q^{37} +(4.42729 + 1.79774i) q^{38} +(-2.15443 - 0.264720i) q^{39} +(2.01093 - 5.99635i) q^{40} +(-1.72140 - 2.36931i) q^{41} +(-8.03298 + 7.46342i) q^{42} +6.01719 q^{43} +(1.86526 + 1.81388i) q^{44} +(6.70304 + 0.263281i) q^{45} +(-4.75369 + 5.64519i) q^{46} +(-6.89447 + 2.24015i) q^{47} +(-5.96370 + 3.52623i) q^{48} +13.0386 q^{49} +(6.77711 + 2.01761i) q^{50} +(4.38342 + 7.90952i) q^{51} +(1.16897 + 2.21714i) q^{52} +(3.12885 + 9.62961i) q^{53} +(-5.36427 - 5.02241i) q^{54} +(-1.95545 + 2.15358i) q^{55} +(12.3707 + 2.69724i) q^{56} +(5.11876 - 2.83680i) q^{57} +(9.35041 - 2.31399i) q^{58} +(-3.96541 + 2.88104i) q^{59} +(-4.16825 - 6.52884i) q^{60} +(-7.80041 - 5.66733i) q^{61} +(8.64662 + 3.51103i) q^{62} +(0.934467 + 13.3968i) q^{63} +(7.27389 + 3.33024i) q^{64} +(-2.43267 + 1.39098i) q^{65} +(3.16350 - 0.382548i) q^{66} +(1.77277 - 5.45604i) q^{67} +(4.61015 - 9.36908i) q^{68} +(1.72390 + 8.87281i) q^{69} +(-2.54066 + 13.9259i) q^{70} +(1.18235 + 3.63889i) q^{71} +(-1.22635 + 8.39619i) q^{72} +(-8.49786 + 11.6963i) q^{73} +(3.46701 + 5.56998i) q^{74} +(7.13575 - 4.90725i) q^{75} +(-6.06334 - 2.98353i) q^{76} +(-4.71124 - 3.42291i) q^{77} +(3.01226 + 0.591252i) q^{78} +(3.38369 - 1.09943i) q^{79} +(-3.44291 + 8.25508i) q^{80} +(-8.91285 + 1.24948i) q^{81} +(2.18863 + 3.51619i) q^{82} +(-4.14366 - 1.34636i) q^{83} +(12.0859 - 9.71562i) q^{84} +(10.6452 + 4.79292i) q^{85} +(-8.48782 - 0.608413i) q^{86} +(4.98669 - 10.6916i) q^{87} +(-2.44772 - 2.74725i) q^{88} +(-0.827124 + 1.13844i) q^{89} +(-9.42864 - 1.04914i) q^{90} +(-3.29744 - 4.53854i) q^{91} +(7.27633 - 7.48241i) q^{92} +(9.99708 - 5.54034i) q^{93} +(9.95181 - 2.46283i) q^{94} +(3.10181 - 6.88917i) q^{95} +(8.76890 - 4.37108i) q^{96} +(-8.52678 + 2.77052i) q^{97} +(-18.3921 - 1.31836i) q^{98} +(2.06869 - 3.30932i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} - 5q^{12} - 20q^{13} + 6q^{16} - 24q^{21} - 10q^{22} - 28q^{24} - 20q^{25} - 50q^{28} - 25q^{30} - 10q^{33} - 14q^{34} - 25q^{36} - 60q^{37} - 20q^{40} - 85q^{42} - 30q^{45} + 6q^{46} - 70q^{48} + 88q^{49} + 40q^{52} - 46q^{54} + 50q^{58} + 10q^{60} - 28q^{61} + 18q^{64} + 64q^{66} - 42q^{69} - 40q^{70} - 5q^{72} - 20q^{73} - 80q^{76} - 85q^{78} + 18q^{81} - 48q^{84} - 20q^{85} + 50q^{88} - 60q^{90} + 60q^{94} + 44q^{96} - 120q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{7}{10}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.41059 0.101112i −0.997441 0.0714973i
\(3\) −1.18137 + 1.26664i −0.682062 + 0.731295i
\(4\) 1.97955 + 0.285257i 0.989776 + 0.142629i
\(5\) −0.243022 + 2.22282i −0.108683 + 0.994076i
\(6\) 1.79450 1.66726i 0.732602 0.680658i
\(7\) −4.47645 −1.69194 −0.845969 0.533232i \(-0.820977\pi\)
−0.845969 + 0.533232i \(0.820977\pi\)
\(8\) −2.76350 0.602540i −0.977046 0.213030i
\(9\) −0.208752 2.99273i −0.0695840 0.997576i
\(10\) 0.567561 3.11093i 0.179479 0.983762i
\(11\) 1.05245 + 0.764650i 0.317326 + 0.230551i 0.735033 0.678031i \(-0.237166\pi\)
−0.417708 + 0.908581i \(0.637166\pi\)
\(12\) −2.69989 + 2.17039i −0.779392 + 0.626537i
\(13\) 0.736621 + 1.01387i 0.204302 + 0.281197i 0.898857 0.438242i \(-0.144399\pi\)
−0.694555 + 0.719440i \(0.744399\pi\)
\(14\) 6.31445 + 0.452624i 1.68761 + 0.120969i
\(15\) −2.52842 2.93379i −0.652834 0.757501i
\(16\) 3.83726 + 1.12936i 0.959314 + 0.282341i
\(17\) 1.61336 4.96542i 0.391298 1.20429i −0.540510 0.841338i \(-0.681769\pi\)
0.931808 0.362953i \(-0.118231\pi\)
\(18\) −0.00813776 + 4.24263i −0.00191809 + 0.999998i
\(19\) −3.21344 1.04411i −0.737215 0.239536i −0.0837439 0.996487i \(-0.526688\pi\)
−0.653471 + 0.756952i \(0.726688\pi\)
\(20\) −1.11515 + 4.33087i −0.249356 + 0.968412i
\(21\) 5.28832 5.67004i 1.15401 1.23731i
\(22\) −1.40726 1.18503i −0.300030 0.252649i
\(23\) 3.06736 4.22186i 0.639590 0.880320i −0.359004 0.933336i \(-0.616884\pi\)
0.998594 + 0.0530165i \(0.0168836\pi\)
\(24\) 4.02791 2.78854i 0.822193 0.569209i
\(25\) −4.88188 1.08039i −0.976376 0.216078i
\(26\) −0.936558 1.50464i −0.183674 0.295085i
\(27\) 4.03732 + 3.27109i 0.776983 + 0.629522i
\(28\) −8.86136 1.27694i −1.67464 0.241319i
\(29\) −6.47783 + 2.10477i −1.20290 + 0.390847i −0.840828 0.541302i \(-0.817931\pi\)
−0.362075 + 0.932149i \(0.617931\pi\)
\(30\) 3.26993 + 4.39404i 0.597004 + 0.802238i
\(31\) −6.27594 2.03918i −1.12719 0.366247i −0.314684 0.949197i \(-0.601898\pi\)
−0.812508 + 0.582950i \(0.801898\pi\)
\(32\) −5.29862 1.98107i −0.936672 0.350207i
\(33\) −2.21186 + 0.429744i −0.385036 + 0.0748089i
\(34\) −2.77786 + 6.84106i −0.476400 + 1.17323i
\(35\) 1.08788 9.95035i 0.183885 1.68192i
\(36\) 0.440462 5.98381i 0.0734103 0.997302i
\(37\) −2.72687 3.75321i −0.448295 0.617025i 0.523735 0.851881i \(-0.324538\pi\)
−0.972030 + 0.234856i \(0.924538\pi\)
\(38\) 4.42729 + 1.79774i 0.718202 + 0.291631i
\(39\) −2.15443 0.264720i −0.344985 0.0423891i
\(40\) 2.01093 5.99635i 0.317956 0.948105i
\(41\) −1.72140 2.36931i −0.268838 0.370024i 0.653159 0.757221i \(-0.273443\pi\)
−0.921997 + 0.387197i \(0.873443\pi\)
\(42\) −8.03298 + 7.46342i −1.23952 + 1.15163i
\(43\) 6.01719 0.917613 0.458807 0.888536i \(-0.348277\pi\)
0.458807 + 0.888536i \(0.348277\pi\)
\(44\) 1.86526 + 1.81388i 0.281198 + 0.273453i
\(45\) 6.70304 + 0.263281i 0.999230 + 0.0392476i
\(46\) −4.75369 + 5.64519i −0.700893 + 0.832338i
\(47\) −6.89447 + 2.24015i −1.00566 + 0.326759i −0.765126 0.643881i \(-0.777323\pi\)
−0.240536 + 0.970640i \(0.577323\pi\)
\(48\) −5.96370 + 3.52623i −0.860786 + 0.508968i
\(49\) 13.0386 1.86265
\(50\) 6.77711 + 2.01761i 0.958428 + 0.285333i
\(51\) 4.38342 + 7.90952i 0.613802 + 1.10755i
\(52\) 1.16897 + 2.21714i 0.162106 + 0.307462i
\(53\) 3.12885 + 9.62961i 0.429780 + 1.32273i 0.898342 + 0.439297i \(0.144772\pi\)
−0.468561 + 0.883431i \(0.655228\pi\)
\(54\) −5.36427 5.02241i −0.729985 0.683463i
\(55\) −1.95545 + 2.15358i −0.263673 + 0.290389i
\(56\) 12.3707 + 2.69724i 1.65310 + 0.360433i
\(57\) 5.11876 2.83680i 0.677997 0.375743i
\(58\) 9.35041 2.31399i 1.22777 0.303842i
\(59\) −3.96541 + 2.88104i −0.516252 + 0.375079i −0.815190 0.579193i \(-0.803368\pi\)
0.298938 + 0.954273i \(0.403368\pi\)
\(60\) −4.16825 6.52884i −0.538119 0.842869i
\(61\) −7.80041 5.66733i −0.998740 0.725627i −0.0369226 0.999318i \(-0.511756\pi\)
−0.961818 + 0.273691i \(0.911756\pi\)
\(62\) 8.64662 + 3.51103i 1.09812 + 0.445901i
\(63\) 0.934467 + 13.3968i 0.117732 + 1.68784i
\(64\) 7.27389 + 3.33024i 0.909236 + 0.416280i
\(65\) −2.43267 + 1.39098i −0.301736 + 0.172530i
\(66\) 3.16350 0.382548i 0.389399 0.0470884i
\(67\) 1.77277 5.45604i 0.216579 0.666561i −0.782459 0.622702i \(-0.786035\pi\)
0.999038 0.0438589i \(-0.0139652\pi\)
\(68\) 4.61015 9.36908i 0.559063 1.13617i
\(69\) 1.72390 + 8.87281i 0.207534 + 1.06816i
\(70\) −2.54066 + 13.9259i −0.303666 + 1.66446i
\(71\) 1.18235 + 3.63889i 0.140319 + 0.431856i 0.996379 0.0850190i \(-0.0270951\pi\)
−0.856061 + 0.516875i \(0.827095\pi\)
\(72\) −1.22635 + 8.39619i −0.144527 + 0.989501i
\(73\) −8.49786 + 11.6963i −0.994600 + 1.36895i −0.0660192 + 0.997818i \(0.521030\pi\)
−0.928581 + 0.371131i \(0.878970\pi\)
\(74\) 3.46701 + 5.56998i 0.403032 + 0.647497i
\(75\) 7.13575 4.90725i 0.823965 0.566640i
\(76\) −6.06334 2.98353i −0.695513 0.342235i
\(77\) −4.71124 3.42291i −0.536895 0.390077i
\(78\) 3.01226 + 0.591252i 0.341071 + 0.0669461i
\(79\) 3.38369 1.09943i 0.380695 0.123695i −0.112417 0.993661i \(-0.535859\pi\)
0.493112 + 0.869966i \(0.335859\pi\)
\(80\) −3.44291 + 8.25508i −0.384929 + 0.922946i
\(81\) −8.91285 + 1.24948i −0.990316 + 0.138831i
\(82\) 2.18863 + 3.51619i 0.241694 + 0.388298i
\(83\) −4.14366 1.34636i −0.454826 0.147782i 0.0726399 0.997358i \(-0.476858\pi\)
−0.527466 + 0.849576i \(0.676858\pi\)
\(84\) 12.0859 9.71562i 1.31868 1.06006i
\(85\) 10.6452 + 4.79292i 1.15463 + 0.519865i
\(86\) −8.48782 0.608413i −0.915265 0.0656069i
\(87\) 4.98669 10.6916i 0.534630 1.14626i
\(88\) −2.44772 2.74725i −0.260927 0.292858i
\(89\) −0.827124 + 1.13844i −0.0876749 + 0.120674i −0.850601 0.525811i \(-0.823762\pi\)
0.762926 + 0.646485i \(0.223762\pi\)
\(90\) −9.42864 1.04914i −0.993866 0.110589i
\(91\) −3.29744 4.53854i −0.345666 0.475769i
\(92\) 7.27633 7.48241i 0.758609 0.780096i
\(93\) 9.99708 5.54034i 1.03665 0.574507i
\(94\) 9.95181 2.46283i 1.02645 0.254021i
\(95\) 3.10181 6.88917i 0.318239 0.706814i
\(96\) 8.76890 4.37108i 0.894973 0.446121i
\(97\) −8.52678 + 2.77052i −0.865763 + 0.281303i −0.708033 0.706179i \(-0.750417\pi\)
−0.157730 + 0.987482i \(0.550417\pi\)
\(98\) −18.3921 1.31836i −1.85789 0.133175i
\(99\) 2.06869 3.30932i 0.207911 0.332599i
\(100\) −9.35575 3.53128i −0.935575 0.353128i
\(101\) 5.95736i 0.592780i 0.955067 + 0.296390i \(0.0957827\pi\)
−0.955067 + 0.296390i \(0.904217\pi\)
\(102\) −5.38348 11.6003i −0.533044 1.14860i
\(103\) 3.42472 + 10.5402i 0.337448 + 1.03856i 0.965504 + 0.260389i \(0.0838509\pi\)
−0.628056 + 0.778168i \(0.716149\pi\)
\(104\) −1.42476 3.24568i −0.139709 0.318265i
\(105\) 11.3183 + 13.1329i 1.10456 + 1.28164i
\(106\) −3.43986 13.8998i −0.334109 1.35007i
\(107\) 9.35526i 0.904407i −0.891915 0.452204i \(-0.850638\pi\)
0.891915 0.452204i \(-0.149362\pi\)
\(108\) 7.05899 + 7.62697i 0.679251 + 0.733906i
\(109\) −2.83364 + 2.05876i −0.271414 + 0.197194i −0.715164 0.698957i \(-0.753648\pi\)
0.443750 + 0.896151i \(0.353648\pi\)
\(110\) 2.97610 2.84011i 0.283760 0.270794i
\(111\) 7.97540 + 0.979956i 0.756991 + 0.0930133i
\(112\) −17.1773 5.05553i −1.62310 0.477703i
\(113\) −10.1542 + 7.37743i −0.955223 + 0.694010i −0.952036 0.305985i \(-0.901014\pi\)
−0.00318631 + 0.999995i \(0.501014\pi\)
\(114\) −7.50734 + 3.48400i −0.703126 + 0.326307i
\(115\) 8.63902 + 7.84421i 0.805593 + 0.731477i
\(116\) −13.4236 + 2.31866i −1.24635 + 0.215283i
\(117\) 2.88047 2.41615i 0.266300 0.223374i
\(118\) 5.88489 3.66302i 0.541748 0.337209i
\(119\) −7.22212 + 22.2274i −0.662051 + 2.03758i
\(120\) 5.21956 + 9.63100i 0.476479 + 0.879186i
\(121\) −2.87622 8.85211i −0.261475 0.804737i
\(122\) 10.4302 + 8.78302i 0.944304 + 0.795178i
\(123\) 5.03466 + 0.618621i 0.453960 + 0.0557792i
\(124\) −11.8419 5.82691i −1.06343 0.523272i
\(125\) 3.58792 10.5890i 0.320914 0.947108i
\(126\) 0.0364282 18.9919i 0.00324529 1.69193i
\(127\) −3.02850 2.20034i −0.268736 0.195248i 0.445253 0.895405i \(-0.353114\pi\)
−0.713990 + 0.700156i \(0.753114\pi\)
\(128\) −9.92378 5.43310i −0.877147 0.480223i
\(129\) −7.10850 + 7.62162i −0.625869 + 0.671046i
\(130\) 3.57216 1.71614i 0.313299 0.150516i
\(131\) −0.453269 + 1.39502i −0.0396023 + 0.121883i −0.968903 0.247440i \(-0.920411\pi\)
0.929301 + 0.369324i \(0.120411\pi\)
\(132\) −4.50109 + 0.219751i −0.391769 + 0.0191269i
\(133\) 14.3848 + 4.67391i 1.24732 + 0.405279i
\(134\) −3.05234 + 7.51701i −0.263682 + 0.649371i
\(135\) −8.25222 + 8.17930i −0.710238 + 0.703962i
\(136\) −7.45039 + 12.7498i −0.638865 + 1.09329i
\(137\) 3.81187 2.76949i 0.325670 0.236613i −0.412921 0.910767i \(-0.635491\pi\)
0.738591 + 0.674154i \(0.235491\pi\)
\(138\) −1.53458 12.6902i −0.130632 1.08027i
\(139\) 6.56082 9.03020i 0.556482 0.765931i −0.434392 0.900724i \(-0.643037\pi\)
0.990874 + 0.134792i \(0.0430368\pi\)
\(140\) 4.99192 19.3869i 0.421894 1.63849i
\(141\) 5.30743 11.3792i 0.446966 0.958305i
\(142\) −1.29987 5.25254i −0.109083 0.440783i
\(143\) 1.63031i 0.136333i
\(144\) 2.57884 11.7196i 0.214904 0.976635i
\(145\) −3.10428 14.9106i −0.257797 1.23826i
\(146\) 13.1697 15.6395i 1.08993 1.29433i
\(147\) −15.4033 + 16.5152i −1.27044 + 1.36215i
\(148\) −4.32735 8.20755i −0.355706 0.674656i
\(149\) 8.20957i 0.672555i −0.941763 0.336277i \(-0.890832\pi\)
0.941763 0.336277i \(-0.109168\pi\)
\(150\) −10.5618 + 6.20062i −0.862370 + 0.506279i
\(151\) 3.42909i 0.279056i 0.990218 + 0.139528i \(0.0445585\pi\)
−0.990218 + 0.139528i \(0.955442\pi\)
\(152\) 8.25124 + 4.82163i 0.669264 + 0.391086i
\(153\) −15.1969 3.79181i −1.22860 0.306550i
\(154\) 6.29954 + 5.30471i 0.507632 + 0.427465i
\(155\) 6.05792 13.4547i 0.486584 1.08071i
\(156\) −4.18929 1.13859i −0.335412 0.0911604i
\(157\) 16.1356i 1.28776i 0.765125 + 0.643881i \(0.222677\pi\)
−0.765125 + 0.643881i \(0.777323\pi\)
\(158\) −4.88418 + 1.20871i −0.388564 + 0.0961600i
\(159\) −15.8936 7.41296i −1.26044 0.587886i
\(160\) 5.69125 11.2964i 0.449932 0.893063i
\(161\) −13.7309 + 18.8989i −1.08215 + 1.48945i
\(162\) 12.6987 0.861304i 0.997708 0.0676704i
\(163\) 3.31970 2.41191i 0.260019 0.188915i −0.450136 0.892960i \(-0.648625\pi\)
0.710156 + 0.704045i \(0.248625\pi\)
\(164\) −2.73174 5.18121i −0.213313 0.404585i
\(165\) −0.417713 5.02102i −0.0325189 0.390886i
\(166\) 5.70889 + 2.31814i 0.443096 + 0.179922i
\(167\) 4.58770 + 1.49063i 0.355007 + 0.115349i 0.481091 0.876671i \(-0.340241\pi\)
−0.126084 + 0.992020i \(0.540241\pi\)
\(168\) −18.0307 + 12.4828i −1.39110 + 0.963066i
\(169\) 3.53190 10.8701i 0.271684 0.836158i
\(170\) −14.5314 7.83723i −1.11451 0.601088i
\(171\) −2.45393 + 9.83493i −0.187657 + 0.752096i
\(172\) 11.9113 + 1.71645i 0.908232 + 0.130878i
\(173\) −18.3656 13.3434i −1.39631 1.01448i −0.995139 0.0984777i \(-0.968603\pi\)
−0.401173 0.916002i \(-0.631397\pi\)
\(174\) −8.11525 + 14.5773i −0.615216 + 1.10510i
\(175\) 21.8535 + 4.83631i 1.65197 + 0.365591i
\(176\) 3.17495 + 4.12276i 0.239321 + 0.310764i
\(177\) 1.03536 8.42630i 0.0778224 0.633360i
\(178\) 1.28185 1.52224i 0.0960784 0.114097i
\(179\) −0.449118 1.38224i −0.0335687 0.103314i 0.932868 0.360218i \(-0.117298\pi\)
−0.966437 + 0.256904i \(0.917298\pi\)
\(180\) 13.1939 + 2.43327i 0.983416 + 0.181365i
\(181\) −3.75705 + 11.5630i −0.279260 + 0.859472i 0.708801 + 0.705408i \(0.249236\pi\)
−0.988061 + 0.154064i \(0.950764\pi\)
\(182\) 4.19245 + 6.73546i 0.310765 + 0.499265i
\(183\) 16.3936 3.18512i 1.21185 0.235451i
\(184\) −11.0205 + 9.81892i −0.812443 + 0.723861i
\(185\) 9.00542 5.14923i 0.662092 0.378579i
\(186\) −14.6620 + 6.80434i −1.07507 + 0.498919i
\(187\) 5.49479 3.99220i 0.401819 0.291938i
\(188\) −14.2870 + 2.46780i −1.04199 + 0.179983i
\(189\) −18.0728 14.6429i −1.31461 1.06511i
\(190\) −5.07198 + 9.40420i −0.367960 + 0.682252i
\(191\) −14.8532 + 10.7915i −1.07474 + 0.780844i −0.976758 0.214345i \(-0.931238\pi\)
−0.0979809 + 0.995188i \(0.531238\pi\)
\(192\) −12.8113 + 5.27917i −0.924579 + 0.380991i
\(193\) 4.78140i 0.344173i −0.985082 0.172086i \(-0.944949\pi\)
0.985082 0.172086i \(-0.0550509\pi\)
\(194\) 12.3080 3.04591i 0.883660 0.218684i
\(195\) 1.11200 4.72458i 0.0796319 0.338334i
\(196\) 25.8105 + 3.71935i 1.84361 + 0.265668i
\(197\) −0.513782 1.58126i −0.0366054 0.112660i 0.931084 0.364804i \(-0.118864\pi\)
−0.967690 + 0.252145i \(0.918864\pi\)
\(198\) −3.25269 + 4.45894i −0.231159 + 0.316883i
\(199\) 15.0174i 1.06456i 0.846570 + 0.532278i \(0.178664\pi\)
−0.846570 + 0.532278i \(0.821336\pi\)
\(200\) 12.8401 + 5.92719i 0.907933 + 0.419116i
\(201\) 4.81654 + 8.69104i 0.339733 + 0.613019i
\(202\) 0.602363 8.40342i 0.0423821 0.591262i
\(203\) 28.9977 9.42191i 2.03524 0.661288i
\(204\) 6.42097 + 16.9077i 0.449558 + 1.18378i
\(205\) 5.68489 3.25058i 0.397050 0.227030i
\(206\) −3.76515 15.2142i −0.262330 1.06003i
\(207\) −13.2752 8.29846i −0.922691 0.576783i
\(208\) 1.68157 + 4.72240i 0.116596 + 0.327440i
\(209\) −2.58361 3.55603i −0.178712 0.245976i
\(210\) −14.6377 19.6697i −1.01009 1.35734i
\(211\) −7.23425 + 9.95708i −0.498026 + 0.685474i −0.981843 0.189695i \(-0.939250\pi\)
0.483817 + 0.875169i \(0.339250\pi\)
\(212\) 3.44681 + 19.9548i 0.236728 + 1.37050i
\(213\) −6.00594 2.80125i −0.411520 0.191938i
\(214\) −0.945933 + 13.1965i −0.0646627 + 0.902092i
\(215\) −1.46231 + 13.3752i −0.0997289 + 0.912178i
\(216\) −9.18618 11.4723i −0.625041 0.780592i
\(217\) 28.0939 + 9.12826i 1.90714 + 0.619667i
\(218\) 4.20528 2.61756i 0.284818 0.177284i
\(219\) −4.77592 24.5813i −0.322727 1.66105i
\(220\) −4.48524 + 3.70532i −0.302395 + 0.249813i
\(221\) 6.22273 2.02189i 0.418586 0.136007i
\(222\) −11.1510 2.18873i −0.748404 0.146898i
\(223\) −13.3369 9.68981i −0.893103 0.648877i 0.0435821 0.999050i \(-0.486123\pi\)
−0.936685 + 0.350172i \(0.886123\pi\)
\(224\) 23.7190 + 8.86814i 1.58479 + 0.592528i
\(225\) −2.21421 + 14.8357i −0.147614 + 0.989045i
\(226\) 15.0693 9.37984i 1.00240 0.623938i
\(227\) 0.449836 0.619146i 0.0298567 0.0410942i −0.793828 0.608143i \(-0.791915\pi\)
0.823684 + 0.567049i \(0.191915\pi\)
\(228\) 10.9421 4.15543i 0.724657 0.275200i
\(229\) −1.96051 6.03382i −0.129554 0.398726i 0.865149 0.501514i \(-0.167224\pi\)
−0.994703 + 0.102788i \(0.967224\pi\)
\(230\) −11.3930 11.9385i −0.751232 0.787202i
\(231\) 9.90129 1.92373i 0.651457 0.126572i
\(232\) 19.1697 1.91340i 1.25855 0.125621i
\(233\) 2.73613 8.42093i 0.179250 0.551673i −0.820552 0.571571i \(-0.806334\pi\)
0.999802 + 0.0198978i \(0.00633409\pi\)
\(234\) −4.30748 + 3.11696i −0.281589 + 0.203762i
\(235\) −3.30394 15.8696i −0.215526 1.03522i
\(236\) −8.67157 + 4.57200i −0.564471 + 0.297612i
\(237\) −2.60480 + 5.58474i −0.169200 + 0.362768i
\(238\) 12.4350 30.6236i 0.806038 1.98503i
\(239\) −1.09912 0.798561i −0.0710965 0.0516546i 0.551669 0.834063i \(-0.313991\pi\)
−0.622766 + 0.782408i \(0.713991\pi\)
\(240\) −6.38887 14.1132i −0.412400 0.911003i
\(241\) 6.63172 4.81823i 0.427187 0.310369i −0.353336 0.935496i \(-0.614953\pi\)
0.780523 + 0.625127i \(0.214953\pi\)
\(242\) 3.16213 + 12.7776i 0.203269 + 0.821373i
\(243\) 8.94669 12.7655i 0.573930 0.818904i
\(244\) −13.8247 13.4439i −0.885034 0.860658i
\(245\) −3.16866 + 28.9824i −0.202438 + 1.85162i
\(246\) −7.03932 1.38169i −0.448810 0.0880933i
\(247\) −1.30850 4.02714i −0.0832576 0.256241i
\(248\) 16.1149 + 9.41677i 1.02330 + 0.597966i
\(249\) 6.60052 3.65798i 0.418291 0.231815i
\(250\) −6.13178 + 14.5740i −0.387808 + 0.921740i
\(251\) −7.12069 −0.449454 −0.224727 0.974422i \(-0.572149\pi\)
−0.224727 + 0.974422i \(0.572149\pi\)
\(252\) −1.97170 + 26.7862i −0.124206 + 1.68737i
\(253\) 6.45650 2.09784i 0.405916 0.131890i
\(254\) 4.04951 + 3.41000i 0.254089 + 0.213963i
\(255\) −18.6467 + 7.82138i −1.16770 + 0.489794i
\(256\) 13.4491 + 8.66732i 0.840567 + 0.541707i
\(257\) 16.3037 1.01700 0.508499 0.861062i \(-0.330200\pi\)
0.508499 + 0.861062i \(0.330200\pi\)
\(258\) 10.7979 10.0322i 0.672245 0.624581i
\(259\) 12.2067 + 16.8011i 0.758487 + 1.04397i
\(260\) −5.21239 + 2.05959i −0.323259 + 0.127730i
\(261\) 7.65128 + 18.9470i 0.473602 + 1.17279i
\(262\) 0.780432 1.92197i 0.0482152 0.118740i
\(263\) −15.6882 21.5930i −0.967379 1.33148i −0.943360 0.331771i \(-0.892354\pi\)
−0.0240187 0.999712i \(-0.507646\pi\)
\(264\) 6.37143 + 0.145136i 0.392134 + 0.00893252i
\(265\) −22.1653 + 4.61467i −1.36160 + 0.283477i
\(266\) −19.8185 8.04747i −1.21515 0.493422i
\(267\) −0.464856 2.39258i −0.0284487 0.146423i
\(268\) 5.06567 10.2948i 0.309435 0.628856i
\(269\) 11.6026 + 3.76991i 0.707422 + 0.229855i 0.640561 0.767907i \(-0.278702\pi\)
0.0668606 + 0.997762i \(0.478702\pi\)
\(270\) 12.4676 10.7033i 0.758751 0.651380i
\(271\) 3.06175 0.994824i 0.185988 0.0604313i −0.214542 0.976715i \(-0.568826\pi\)
0.400530 + 0.916283i \(0.368826\pi\)
\(272\) 11.7986 17.2315i 0.715398 1.04481i
\(273\) 9.64419 + 1.18500i 0.583693 + 0.0717197i
\(274\) −5.65704 + 3.52120i −0.341754 + 0.212723i
\(275\) −4.31182 4.86999i −0.260012 0.293671i
\(276\) 0.881524 + 18.0559i 0.0530615 + 1.08684i
\(277\) −3.92203 + 5.39821i −0.235652 + 0.324347i −0.910422 0.413681i \(-0.864243\pi\)
0.674770 + 0.738028i \(0.264243\pi\)
\(278\) −10.1677 + 12.0746i −0.609820 + 0.724184i
\(279\) −4.79259 + 19.2079i −0.286925 + 1.14994i
\(280\) −9.00183 + 26.8423i −0.537962 + 1.60414i
\(281\) 5.53363 + 1.79799i 0.330109 + 0.107259i 0.469382 0.882995i \(-0.344477\pi\)
−0.139273 + 0.990254i \(0.544477\pi\)
\(282\) −8.63721 + 15.5149i −0.514338 + 0.923896i
\(283\) −7.45613 + 22.9476i −0.443221 + 1.36409i 0.441202 + 0.897408i \(0.354552\pi\)
−0.884423 + 0.466686i \(0.845448\pi\)
\(284\) 1.30250 + 7.54064i 0.0772890 + 0.447455i
\(285\) 5.06173 + 12.0675i 0.299831 + 0.714818i
\(286\) 0.164844 2.29970i 0.00974745 0.135984i
\(287\) 7.70576 + 10.6061i 0.454857 + 0.626057i
\(288\) −4.82270 + 16.2709i −0.284180 + 0.958771i
\(289\) −8.29913 6.02967i −0.488184 0.354686i
\(290\) 2.87124 + 21.3467i 0.168605 + 1.25352i
\(291\) 6.56399 14.0733i 0.384788 0.824994i
\(292\) −20.1584 + 20.7294i −1.17968 + 1.21310i
\(293\) 21.5123 1.25676 0.628382 0.777905i \(-0.283718\pi\)
0.628382 + 0.777905i \(0.283718\pi\)
\(294\) 23.3977 21.7387i 1.36458 1.26783i
\(295\) −5.44035 9.51456i −0.316750 0.553959i
\(296\) 5.27425 + 12.0151i 0.306560 + 0.698361i
\(297\) 1.74784 + 6.52980i 0.101420 + 0.378897i
\(298\) −0.830090 + 11.5804i −0.0480858 + 0.670833i
\(299\) 6.53991 0.378213
\(300\) 15.5254 7.67863i 0.896361 0.443326i
\(301\) −26.9356 −1.55254
\(302\) 0.346724 4.83706i 0.0199517 0.278342i
\(303\) −7.54583 7.03782i −0.433497 0.404312i
\(304\) −11.1516 7.63567i −0.639590 0.437936i
\(305\) 14.4931 15.9616i 0.829875 0.913961i
\(306\) 21.0533 + 6.88531i 1.20354 + 0.393607i
\(307\) −28.2968 −1.61498 −0.807492 0.589879i \(-0.799175\pi\)
−0.807492 + 0.589879i \(0.799175\pi\)
\(308\) −8.34973 8.11975i −0.475770 0.462666i
\(309\) −17.3965 8.11395i −0.989652 0.461586i
\(310\) −9.90571 + 18.3666i −0.562606 + 1.04316i
\(311\) 20.3602 + 14.7925i 1.15452 + 0.838807i 0.989075 0.147412i \(-0.0470945\pi\)
0.165443 + 0.986219i \(0.447094\pi\)
\(312\) 5.79427 + 2.02968i 0.328036 + 0.114908i
\(313\) −13.1458 18.0936i −0.743045 1.02271i −0.998438 0.0558759i \(-0.982205\pi\)
0.255393 0.966837i \(-0.417795\pi\)
\(314\) 1.63151 22.7608i 0.0920715 1.28447i
\(315\) −30.0058 1.17856i −1.69063 0.0664045i
\(316\) 7.01181 1.21115i 0.394445 0.0681326i
\(317\) −2.57264 + 7.91778i −0.144494 + 0.444707i −0.996946 0.0780994i \(-0.975115\pi\)
0.852452 + 0.522806i \(0.175115\pi\)
\(318\) 21.6698 + 12.0637i 1.21518 + 0.676499i
\(319\) −8.42701 2.73810i −0.471822 0.153304i
\(320\) −9.17025 + 15.3592i −0.512633 + 0.858608i
\(321\) 11.8497 + 11.0520i 0.661388 + 0.616861i
\(322\) 21.2796 25.2704i 1.18587 1.40826i
\(323\) −10.3689 + 14.2716i −0.576941 + 0.794091i
\(324\) −17.9999 0.0690510i −0.999993 0.00383617i
\(325\) −2.50072 5.74544i −0.138715 0.318700i
\(326\) −4.92663 + 3.06656i −0.272861 + 0.169841i
\(327\) 0.739857 6.02135i 0.0409142 0.332981i
\(328\) 3.32950 + 7.58480i 0.183841 + 0.418800i
\(329\) 30.8627 10.0279i 1.70152 0.552857i
\(330\) 0.0815364 + 7.12486i 0.00448843 + 0.392210i
\(331\) 22.8906 + 7.43760i 1.25818 + 0.408808i 0.860846 0.508866i \(-0.169935\pi\)
0.397335 + 0.917674i \(0.369935\pi\)
\(332\) −7.81853 3.84719i −0.429098 0.211142i
\(333\) −10.6631 + 8.94427i −0.584335 + 0.490143i
\(334\) −6.32066 2.56655i −0.345851 0.140436i
\(335\) 11.6970 + 5.26650i 0.639074 + 0.287740i
\(336\) 26.6962 15.7850i 1.45640 0.861141i
\(337\) 1.83144 + 2.52076i 0.0997647 + 0.137314i 0.855981 0.517008i \(-0.172954\pi\)
−0.756216 + 0.654322i \(0.772954\pi\)
\(338\) −6.08117 + 14.9761i −0.330772 + 0.814594i
\(339\) 2.65123 21.5771i 0.143995 1.17191i
\(340\) 19.7054 + 12.5244i 1.06868 + 0.679234i
\(341\) −5.04586 6.94503i −0.273249 0.376094i
\(342\) 4.45593 13.6250i 0.240949 0.736754i
\(343\) −27.0313 −1.45955
\(344\) −16.6285 3.62560i −0.896550 0.195479i
\(345\) −20.1416 + 1.67564i −1.08439 + 0.0902135i
\(346\) 24.5573 + 20.6791i 1.32021 + 1.11172i
\(347\) 8.72590 2.83522i 0.468431 0.152202i −0.0652845 0.997867i \(-0.520795\pi\)
0.533715 + 0.845664i \(0.320795\pi\)
\(348\) 12.9213 19.7421i 0.692653 1.05829i
\(349\) 0.811880 0.0434589 0.0217295 0.999764i \(-0.493083\pi\)
0.0217295 + 0.999764i \(0.493083\pi\)
\(350\) −30.3374 9.03173i −1.62160 0.482766i
\(351\) −0.342493 + 6.50288i −0.0182809 + 0.347098i
\(352\) −4.06171 6.13656i −0.216490 0.327080i
\(353\) 9.89930 + 30.4669i 0.526886 + 1.62159i 0.760555 + 0.649273i \(0.224927\pi\)
−0.233669 + 0.972316i \(0.575073\pi\)
\(354\) −2.31248 + 11.7814i −0.122907 + 0.626175i
\(355\) −8.37593 + 1.74381i −0.444548 + 0.0925521i
\(356\) −1.96208 + 2.01766i −0.103990 + 0.106936i
\(357\) −19.6222 35.4065i −1.03851 1.87391i
\(358\) 0.493761 + 1.99520i 0.0260961 + 0.105449i
\(359\) 10.2064 7.41542i 0.538675 0.391371i −0.284917 0.958552i \(-0.591966\pi\)
0.823593 + 0.567181i \(0.191966\pi\)
\(360\) −18.3652 4.76642i −0.967932 0.251213i
\(361\) −6.13527 4.45753i −0.322909 0.234607i
\(362\) 6.46884 15.9308i 0.339995 0.837307i
\(363\) 14.6103 + 6.81444i 0.766842 + 0.357665i
\(364\) −5.23281 9.92490i −0.274274 0.520206i
\(365\) −23.9336 21.7317i −1.25274 1.13749i
\(366\) −23.4468 + 2.83532i −1.22558 + 0.148204i
\(367\) 11.1742 34.3906i 0.583287 1.79517i −0.0227549 0.999741i \(-0.507244\pi\)
0.606042 0.795433i \(-0.292756\pi\)
\(368\) 16.5383 12.7362i 0.862118 0.663921i
\(369\) −6.73135 + 5.64629i −0.350420 + 0.293934i
\(370\) −13.2236 + 6.35292i −0.687465 + 0.330273i
\(371\) −14.0061 43.1064i −0.727162 2.23797i
\(372\) 21.3702 8.11566i 1.10799 0.420777i
\(373\) 8.70151 11.9766i 0.450547 0.620125i −0.521968 0.852965i \(-0.674802\pi\)
0.972515 + 0.232840i \(0.0748019\pi\)
\(374\) −8.15457 + 5.07578i −0.421663 + 0.262462i
\(375\) 9.17379 + 17.0541i 0.473733 + 0.880669i
\(376\) 20.4027 2.03647i 1.05219 0.105023i
\(377\) −6.90568 5.01727i −0.355661 0.258402i
\(378\) 24.0129 + 22.4825i 1.23509 + 1.15638i
\(379\) −3.45493 + 1.12257i −0.177468 + 0.0576628i −0.396403 0.918077i \(-0.629742\pi\)
0.218935 + 0.975739i \(0.429742\pi\)
\(380\) 8.10539 12.7527i 0.415798 0.654198i
\(381\) 6.36480 1.23662i 0.326079 0.0633540i
\(382\) 22.0430 13.7205i 1.12782 0.702004i
\(383\) −6.51898 2.11815i −0.333104 0.108232i 0.137689 0.990475i \(-0.456032\pi\)
−0.470794 + 0.882243i \(0.656032\pi\)
\(384\) 18.6054 6.15138i 0.949452 0.313911i
\(385\) 8.75347 9.64040i 0.446118 0.491320i
\(386\) −0.483459 + 6.74462i −0.0246074 + 0.343292i
\(387\) −1.25610 18.0078i −0.0638512 0.915389i
\(388\) −17.6695 + 3.05206i −0.897034 + 0.154945i
\(389\) −4.62659 + 6.36795i −0.234577 + 0.322868i −0.910035 0.414530i \(-0.863946\pi\)
0.675458 + 0.737398i \(0.263946\pi\)
\(390\) −2.04629 + 6.55203i −0.103618 + 0.331775i
\(391\) −16.0145 22.0421i −0.809890 1.11472i
\(392\) −36.0321 7.85626i −1.81990 0.396801i
\(393\) −1.23151 2.22215i −0.0621214 0.112093i
\(394\) 0.564853 + 2.28246i 0.0284569 + 0.114989i
\(395\) 1.62152 + 7.78853i 0.0815875 + 0.391883i
\(396\) 5.03908 5.96086i 0.253224 0.299545i
\(397\) −15.1377 + 4.91853i −0.759738 + 0.246854i −0.663166 0.748472i \(-0.730788\pi\)
−0.0965716 + 0.995326i \(0.530788\pi\)
\(398\) 1.51845 21.1835i 0.0761129 1.06183i
\(399\) −22.9139 + 12.6988i −1.14713 + 0.635734i
\(400\) −17.5129 9.65915i −0.875644 0.482958i
\(401\) 21.1953i 1.05844i −0.848484 0.529221i \(-0.822484\pi\)
0.848484 0.529221i \(-0.177516\pi\)
\(402\) −5.91541 12.7465i −0.295034 0.635740i
\(403\) −2.55553 7.86510i −0.127300 0.391788i
\(404\) −1.69938 + 11.7929i −0.0845473 + 0.586719i
\(405\) −0.611343 20.1153i −0.0303779 0.999538i
\(406\) −41.8566 + 10.3585i −2.07731 + 0.514082i
\(407\) 6.03517i 0.299152i
\(408\) −7.34780 24.4992i −0.363770 1.21289i
\(409\) 27.8293 20.2192i 1.37607 0.999773i 0.378835 0.925464i \(-0.376325\pi\)
0.997235 0.0743092i \(-0.0236752\pi\)
\(410\) −8.34774 + 4.01043i −0.412266 + 0.198061i
\(411\) −0.995272 + 8.10005i −0.0490931 + 0.399546i
\(412\) 3.77274 + 21.8418i 0.185870 + 1.07607i
\(413\) 17.7509 12.8968i 0.873466 0.634611i
\(414\) 17.8869 + 13.0481i 0.879091 + 0.641277i
\(415\) 3.99971 8.88342i 0.196338 0.436070i
\(416\) −1.89453 6.83142i −0.0928868 0.334938i
\(417\) 3.68728 + 18.9782i 0.180567 + 0.929365i
\(418\) 3.28487 + 5.27736i 0.160668 + 0.258124i
\(419\) −8.66099 + 26.6558i −0.423117 + 1.30222i 0.481669 + 0.876353i \(0.340031\pi\)
−0.904786 + 0.425867i \(0.859969\pi\)
\(420\) 18.6589 + 29.2260i 0.910463 + 1.42608i
\(421\) 12.1913 + 37.5211i 0.594170 + 1.82867i 0.558817 + 0.829291i \(0.311256\pi\)
0.0353531 + 0.999375i \(0.488744\pi\)
\(422\) 11.2114 13.3139i 0.545761 0.648112i
\(423\) 8.14339 + 20.1656i 0.395945 + 0.980487i
\(424\) −2.84436 28.4967i −0.138134 1.38392i
\(425\) −13.2408 + 22.4975i −0.642274 + 1.09129i
\(426\) 8.18870 + 4.55870i 0.396744 + 0.220870i
\(427\) 34.9181 + 25.3695i 1.68981 + 1.22772i
\(428\) 2.66866 18.5192i 0.128994 0.895161i
\(429\) −2.06501 1.92599i −0.0996997 0.0929876i
\(430\) 3.41512 18.7191i 0.164692 0.902713i
\(431\) −9.74410 + 29.9892i −0.469357 + 1.44453i 0.384063 + 0.923307i \(0.374525\pi\)
−0.853420 + 0.521224i \(0.825475\pi\)
\(432\) 11.7980 + 17.1116i 0.567631 + 0.823283i
\(433\) 34.0081 + 11.0499i 1.63433 + 0.531024i 0.975260 0.221061i \(-0.0709521\pi\)
0.659065 + 0.752086i \(0.270952\pi\)
\(434\) −38.7061 15.7169i −1.85795 0.754436i
\(435\) 22.5536 + 13.6828i 1.08136 + 0.656041i
\(436\) −6.19662 + 3.26711i −0.296764 + 0.156466i
\(437\) −14.2649 + 10.3641i −0.682383 + 0.495780i
\(438\) 4.25141 + 35.1572i 0.203140 + 1.67988i
\(439\) −21.0159 + 28.9259i −1.00303 + 1.38056i −0.0795890 + 0.996828i \(0.525361\pi\)
−0.923445 + 0.383730i \(0.874639\pi\)
\(440\) 6.70151 4.77320i 0.319482 0.227553i
\(441\) −2.72183 39.0209i −0.129611 1.85814i
\(442\) −8.98219 + 2.22287i −0.427239 + 0.105731i
\(443\) 10.3222i 0.490422i 0.969470 + 0.245211i \(0.0788572\pi\)
−0.969470 + 0.245211i \(0.921143\pi\)
\(444\) 15.5082 + 4.21492i 0.735986 + 0.200031i
\(445\) −2.32954 2.11522i −0.110431 0.100271i
\(446\) 17.8332 + 15.0169i 0.844425 + 0.711071i
\(447\) 10.3986 + 9.69851i 0.491836 + 0.458724i
\(448\) −32.5612 14.9076i −1.53837 0.704320i
\(449\) 6.11417i 0.288546i −0.989538 0.144273i \(-0.953916\pi\)
0.989538 0.144273i \(-0.0460843\pi\)
\(450\) 4.62343 20.7032i 0.217951 0.975960i
\(451\) 3.80985i 0.179399i
\(452\) −22.2051 + 11.7075i −1.04444 + 0.550672i
\(453\) −4.34343 4.05101i −0.204072 0.190333i
\(454\) −0.697139 + 0.827880i −0.0327184 + 0.0388543i
\(455\) 10.8897 6.22667i 0.510518 0.291911i
\(456\) −15.8550 + 4.75524i −0.742479 + 0.222685i
\(457\) 20.4200i 0.955205i −0.878576 0.477603i \(-0.841506\pi\)
0.878576 0.477603i \(-0.158494\pi\)
\(458\) 2.15539 + 8.70951i 0.100715 + 0.406968i
\(459\) 22.7560 14.7695i 1.06216 0.689382i
\(460\) 14.8638 + 17.9924i 0.693027 + 0.838899i
\(461\) 3.22314 4.43628i 0.150117 0.206618i −0.727335 0.686282i \(-0.759242\pi\)
0.877452 + 0.479664i \(0.159242\pi\)
\(462\) −14.1612 + 1.71246i −0.658839 + 0.0796706i
\(463\) −5.64555 + 4.10173i −0.262371 + 0.190624i −0.711192 0.702998i \(-0.751844\pi\)
0.448821 + 0.893622i \(0.351844\pi\)
\(464\) −27.2341 + 0.760735i −1.26431 + 0.0353162i
\(465\) 9.88568 + 23.5682i 0.458438 + 1.09295i
\(466\) −4.71102 + 11.6019i −0.218234 + 0.537446i
\(467\) 12.3383 + 4.00897i 0.570950 + 0.185513i 0.580242 0.814444i \(-0.302958\pi\)
−0.00929248 + 0.999957i \(0.502958\pi\)
\(468\) 6.39127 3.96123i 0.295437 0.183108i
\(469\) −7.93573 + 24.4237i −0.366438 + 1.12778i
\(470\) 3.05591 + 22.7196i 0.140959 + 1.04798i
\(471\) −20.4380 19.0621i −0.941734 0.878333i
\(472\) 12.6944 5.57244i 0.584305 0.256492i
\(473\) 6.33280 + 4.60105i 0.291182 + 0.211556i
\(474\) 4.23900 7.61443i 0.194704 0.349742i
\(475\) 14.5596 + 8.56900i 0.668040 + 0.393173i
\(476\) −20.6371 + 41.9402i −0.945900 + 1.92232i
\(477\) 28.1656 11.3740i 1.28962 0.520779i
\(478\) 1.46967 + 1.23758i 0.0672213 + 0.0566056i
\(479\) −12.6155 38.8266i −0.576418 1.77403i −0.631299 0.775539i \(-0.717478\pi\)
0.0548810 0.998493i \(-0.482522\pi\)
\(480\) 7.58509 + 20.5540i 0.346210 + 0.938157i
\(481\) 1.79661 5.52939i 0.0819183 0.252119i
\(482\) −9.84185 + 6.12602i −0.448284 + 0.279032i
\(483\) −7.71696 39.7186i −0.351134 1.80726i
\(484\) −3.16851 18.3437i −0.144023 0.833804i
\(485\) −4.08617 19.6268i −0.185544 0.891208i
\(486\) −13.9109 + 17.1022i −0.631011 + 0.775774i
\(487\) −23.7327 + 17.2428i −1.07543 + 0.781347i −0.976881 0.213785i \(-0.931421\pi\)
−0.0985510 + 0.995132i \(0.531421\pi\)
\(488\) 18.1417 + 20.3617i 0.821235 + 0.921733i
\(489\) −0.866767 + 7.05421i −0.0391966 + 0.319002i
\(490\) 7.40018 40.5621i 0.334306 1.83241i
\(491\) −2.03850 + 1.48105i −0.0919961 + 0.0668391i −0.632832 0.774289i \(-0.718108\pi\)
0.540836 + 0.841128i \(0.318108\pi\)
\(492\) 9.78991 + 2.66077i 0.441363 + 0.119957i
\(493\) 35.5609i 1.60158i
\(494\) 1.43856 + 5.81296i 0.0647240 + 0.261537i
\(495\) 6.85329 + 5.40257i 0.308033 + 0.242827i
\(496\) −21.7794 14.9127i −0.977925 0.669598i
\(497\) −5.29271 16.2893i −0.237410 0.730674i
\(498\) −9.68053 + 4.49254i −0.433795 + 0.201315i
\(499\) 38.1145i 1.70624i −0.521717 0.853119i \(-0.674708\pi\)
0.521717 0.853119i \(-0.325292\pi\)
\(500\) 10.1231 19.9380i 0.452717 0.891654i
\(501\) −7.30784 + 4.04998i −0.326490 + 0.180940i
\(502\) 10.0444 + 0.719991i 0.448304 + 0.0321348i
\(503\) −25.1690 + 8.17789i −1.12223 + 0.364634i −0.810618 0.585575i \(-0.800869\pi\)
−0.311611 + 0.950210i \(0.600869\pi\)
\(504\) 5.48969 37.5851i 0.244530 1.67417i
\(505\) −13.2422 1.44777i −0.589268 0.0644250i
\(506\) −9.31961 + 2.30637i −0.414307 + 0.102531i
\(507\) 9.59598 + 17.3151i 0.426173 + 0.768993i
\(508\) −5.36742 5.21958i −0.238141 0.231582i
\(509\) 6.70246 + 9.22514i 0.297081 + 0.408897i 0.931298 0.364258i \(-0.118677\pi\)
−0.634217 + 0.773155i \(0.718677\pi\)
\(510\) 27.0938 9.14738i 1.19973 0.405053i
\(511\) 38.0402 52.3579i 1.68280 2.31618i
\(512\) −18.0948 13.5859i −0.799685 0.600419i
\(513\) −9.55832 14.7269i −0.422010 0.650208i
\(514\) −22.9979 1.64851i −1.01440 0.0727126i
\(515\) −24.2613 + 5.05104i −1.06908 + 0.222575i
\(516\) −16.2458 + 13.0596i −0.715180 + 0.574918i
\(517\) −8.96902 2.91421i −0.394457 0.128167i
\(518\) −15.5199 24.9337i −0.681905 1.09553i
\(519\) 38.5978 7.49919i 1.69425 0.329178i
\(520\) 7.56082 2.37821i 0.331564 0.104291i
\(521\) 14.7030 4.77729i 0.644150 0.209297i 0.0313169 0.999510i \(-0.490030\pi\)
0.612833 + 0.790213i \(0.290030\pi\)
\(522\) −8.87707 27.5002i −0.388539 1.20365i
\(523\) −1.62855 1.18321i −0.0712115 0.0517382i 0.551610 0.834102i \(-0.314014\pi\)
−0.622821 + 0.782364i \(0.714014\pi\)
\(524\) −1.29521 + 2.63221i −0.0565814 + 0.114989i
\(525\) −31.9428 + 21.9670i −1.39410 + 0.958720i
\(526\) 19.9464 + 32.0453i 0.869706 + 1.39724i
\(527\) −20.2507 + 27.8727i −0.882135 + 1.21415i
\(528\) −8.97283 0.848959i −0.390492 0.0369462i
\(529\) −1.30803 4.02569i −0.0568707 0.175030i
\(530\) 31.7328 4.26824i 1.37839 0.185400i
\(531\) 9.44995 + 11.2660i 0.410093 + 0.488901i
\(532\) 27.1422 + 13.3556i 1.17676 + 0.579039i
\(533\) 1.13415 3.49056i 0.0491256 0.151193i
\(534\) 0.413803 + 3.42196i 0.0179070 + 0.148083i
\(535\) 20.7951 + 2.27354i 0.899050 + 0.0982936i
\(536\) −8.18655 + 14.0096i −0.353605 + 0.605123i
\(537\) 2.28138 + 1.06406i 0.0984487 + 0.0459177i
\(538\) −15.9854 6.49098i −0.689177 0.279846i
\(539\) 13.7224 + 9.96994i 0.591068 + 0.429436i
\(540\) −18.6689 + 13.8373i −0.803382 + 0.595465i
\(541\) 0.414058 0.300831i 0.0178018 0.0129337i −0.578849 0.815435i \(-0.696498\pi\)
0.596651 + 0.802501i \(0.296498\pi\)
\(542\) −4.41948 + 1.09371i −0.189833 + 0.0469790i
\(543\) −10.2077 18.4190i −0.438056 0.790434i
\(544\) −18.3854 + 23.1137i −0.788268 + 0.990990i
\(545\) −3.88762 6.79901i −0.166527 0.291237i
\(546\) −13.4842 2.64671i −0.577071 0.113269i
\(547\) 6.44638 + 19.8399i 0.275627 + 0.848294i 0.989053 + 0.147562i \(0.0471427\pi\)
−0.713425 + 0.700731i \(0.752857\pi\)
\(548\) 8.33582 4.39498i 0.356089 0.187744i
\(549\) −15.3324 + 24.5276i −0.654372 + 1.04681i
\(550\) 5.58981 + 7.30555i 0.238350 + 0.311510i
\(551\) 23.0138 0.980419
\(552\) 0.582209 25.5587i 0.0247804 1.08785i
\(553\) −15.1469 + 4.92153i −0.644112 + 0.209285i
\(554\) 6.07821 7.21811i 0.258239 0.306668i
\(555\) −4.11647 + 17.4897i −0.174734 + 0.742398i
\(556\) 15.5634 16.0042i 0.660036 0.678730i
\(557\) 23.4145 0.992105 0.496052 0.868293i \(-0.334782\pi\)
0.496052 + 0.868293i \(0.334782\pi\)
\(558\) 8.70255 26.6099i 0.368408 1.12649i
\(559\) 4.43239 + 6.10066i 0.187470 + 0.258031i
\(560\) 15.4120 36.9534i 0.651277 1.56157i
\(561\) −1.43468 + 11.6762i −0.0605721 + 0.492968i
\(562\) −7.62391 3.09575i −0.321595 0.130586i
\(563\) 13.7664 + 18.9478i 0.580184 + 0.798555i 0.993716 0.111935i \(-0.0357049\pi\)
−0.413532 + 0.910490i \(0.635705\pi\)
\(564\) 13.7523 21.0118i 0.579078 0.884758i
\(565\) −13.9310 24.3638i −0.586083 1.02499i
\(566\) 12.8379 31.6159i 0.539616 1.32891i
\(567\) 39.8979 5.59321i 1.67555 0.234893i
\(568\) −1.07484 10.7685i −0.0450994 0.451835i
\(569\) −21.5260 6.99423i −0.902418 0.293213i −0.179184 0.983816i \(-0.557346\pi\)
−0.723235 + 0.690602i \(0.757346\pi\)
\(570\) −5.91987 17.5342i −0.247956 0.734425i
\(571\) −18.3456 + 5.96084i −0.767739 + 0.249454i −0.666597 0.745418i \(-0.732250\pi\)
−0.101142 + 0.994872i \(0.532250\pi\)
\(572\) −0.465057 + 3.22728i −0.0194450 + 0.134939i
\(573\) 3.87813 31.5623i 0.162011 1.31853i
\(574\) −9.79730 15.7400i −0.408931 0.656976i
\(575\) −19.5358 + 17.2967i −0.814698 + 0.721322i
\(576\) 8.44806 22.4640i 0.352003 0.935999i
\(577\) −25.2341 + 34.7318i −1.05051 + 1.44590i −0.162144 + 0.986767i \(0.551841\pi\)
−0.888366 + 0.459136i \(0.848159\pi\)
\(578\) 11.0970 + 9.34456i 0.461575 + 0.388682i
\(579\) 6.05632 + 5.64858i 0.251692 + 0.234747i
\(580\) −1.89174 30.4018i −0.0785503 1.26237i
\(581\) 18.5489 + 6.02689i 0.769537 + 0.250038i
\(582\) −10.6821 + 19.1881i −0.442788 + 0.795372i
\(583\) −4.07032 + 12.5272i −0.168575 + 0.518822i
\(584\) 30.5314 27.2025i 1.26340 1.12565i
\(585\) 4.67066 + 6.98996i 0.193108 + 0.288999i
\(586\) −30.3452 2.17516i −1.25355 0.0898552i
\(587\) 13.9606 + 19.2151i 0.576216 + 0.793094i 0.993274 0.115786i \(-0.0369387\pi\)
−0.417058 + 0.908880i \(0.636939\pi\)
\(588\) −35.2027 + 28.2987i −1.45174 + 1.16702i
\(589\) 18.0383 + 13.1056i 0.743253 + 0.540005i
\(590\) 6.71209 + 13.9713i 0.276332 + 0.575188i
\(591\) 2.60985 + 1.21727i 0.107355 + 0.0500716i
\(592\) −6.22496 17.4817i −0.255844 0.718492i
\(593\) −28.4331 −1.16761 −0.583804 0.811895i \(-0.698436\pi\)
−0.583804 + 0.811895i \(0.698436\pi\)
\(594\) −1.80525 9.38762i −0.0740702 0.385179i
\(595\) −47.6525 21.4553i −1.95356 0.879580i
\(596\) 2.34184 16.2513i 0.0959255 0.665679i
\(597\) −19.0216 17.7410i −0.778504 0.726093i
\(598\) −9.22517 0.661267i −0.377245 0.0270412i
\(599\) 10.0807 0.411886 0.205943 0.978564i \(-0.433974\pi\)
0.205943 + 0.978564i \(0.433974\pi\)
\(600\) −22.6765 + 9.26162i −0.925763 + 0.378104i
\(601\) −39.1585 −1.59731 −0.798654 0.601790i \(-0.794454\pi\)
−0.798654 + 0.601790i \(0.794454\pi\)
\(602\) 37.9953 + 2.72353i 1.54857 + 0.111003i
\(603\) −16.6985 4.16647i −0.680016 0.169672i
\(604\) −0.978174 + 6.78807i −0.0398013 + 0.276203i
\(605\) 20.3757 4.24208i 0.828388 0.172465i
\(606\) 9.93249 + 10.6905i 0.403480 + 0.434271i
\(607\) −20.9133 −0.848845 −0.424422 0.905464i \(-0.639523\pi\)
−0.424422 + 0.905464i \(0.639523\pi\)
\(608\) 14.9584 + 11.8984i 0.606642 + 0.482544i
\(609\) −22.3227 + 47.8603i −0.904560 + 1.93940i
\(610\) −22.0579 + 21.0500i −0.893097 + 0.852288i
\(611\) −7.34984 5.33997i −0.297343 0.216032i
\(612\) −29.0015 11.8411i −1.17232 0.478649i
\(613\) 27.7441 + 38.1864i 1.12057 + 1.54234i 0.804844 + 0.593487i \(0.202249\pi\)
0.315729 + 0.948849i \(0.397751\pi\)
\(614\) 39.9153 + 2.86116i 1.61085 + 0.115467i
\(615\) −2.59862 + 11.0408i −0.104786 + 0.445209i
\(616\) 10.9571 + 12.2979i 0.441473 + 0.495498i
\(617\) −5.68196 + 17.4873i −0.228747 + 0.704011i 0.769143 + 0.639077i \(0.220684\pi\)
−0.997890 + 0.0649336i \(0.979316\pi\)
\(618\) 23.7190 + 13.2045i 0.954117 + 0.531162i
\(619\) 0.368158 + 0.119622i 0.0147975 + 0.00480801i 0.316406 0.948624i \(-0.397524\pi\)
−0.301609 + 0.953432i \(0.597524\pi\)
\(620\) 15.8300 24.9063i 0.635749 1.00026i
\(621\) 26.1940 7.01139i 1.05113 0.281357i
\(622\) −27.2242 22.9249i −1.09159 0.919205i
\(623\) 3.70258 5.09616i 0.148341 0.204173i
\(624\) −7.96813 3.44893i −0.318981 0.138068i
\(625\) 22.6655 + 10.5487i 0.906620 + 0.421947i
\(626\) 16.7139 + 26.8520i 0.668022 + 1.07322i
\(627\) 7.55640 + 0.928473i 0.301774 + 0.0370796i
\(628\) −4.60280 + 31.9413i −0.183672 + 1.27460i
\(629\) −23.0357 + 7.48475i −0.918493 + 0.298437i
\(630\) 42.2068 + 4.69643i 1.68156 + 0.187110i
\(631\) 35.2927 + 11.4673i 1.40498 + 0.456506i 0.910798 0.412852i \(-0.135467\pi\)
0.494183 + 0.869358i \(0.335467\pi\)
\(632\) −10.0133 + 0.999463i −0.398307 + 0.0397565i
\(633\) −4.06575 20.9261i −0.161599 0.831739i
\(634\) 4.42954 10.9086i 0.175920 0.433238i
\(635\) 5.62695 6.19709i 0.223299 0.245924i
\(636\) −29.3475 19.2081i −1.16371 0.761650i
\(637\) 9.60448 + 13.2194i 0.380544 + 0.523773i
\(638\) 11.6102 + 4.71443i 0.459654 + 0.186646i
\(639\) 10.6434 4.29806i 0.421046 0.170029i
\(640\) 14.4885 20.7384i 0.572709 0.819759i
\(641\) 16.3537 + 22.5089i 0.645931 + 0.889048i 0.998914 0.0465817i \(-0.0148328\pi\)
−0.352983 + 0.935630i \(0.614833\pi\)
\(642\) −15.5977 16.7880i −0.615592 0.662570i
\(643\) 47.4878 1.87274 0.936368 0.351019i \(-0.114165\pi\)
0.936368 + 0.351019i \(0.114165\pi\)
\(644\) −32.5721 + 33.4946i −1.28352 + 1.31987i
\(645\) −15.2140 17.6532i −0.599050 0.695093i
\(646\) 16.0693 19.0830i 0.632239 0.750809i
\(647\) 23.4696 7.62574i 0.922685 0.299799i 0.191117 0.981567i \(-0.438789\pi\)
0.731568 + 0.681769i \(0.238789\pi\)
\(648\) 25.3835 + 1.91741i 0.997159 + 0.0753231i
\(649\) −6.37638 −0.250295
\(650\) 2.94656 + 8.35734i 0.115574 + 0.327802i
\(651\) −44.7514 + 24.8010i −1.75394 + 0.972029i
\(652\) 7.25954 3.82753i 0.284306 0.149897i
\(653\) −9.76882 30.0653i −0.382283 1.17655i −0.938432 0.345464i \(-0.887721\pi\)
0.556149 0.831083i \(-0.312279\pi\)
\(654\) −1.65247 + 8.41887i −0.0646168 + 0.329204i
\(655\) −2.99072 1.34656i −0.116857 0.0526143i
\(656\) −3.92965 11.0357i −0.153427 0.430873i
\(657\) 36.7778 + 22.9902i 1.43484 + 0.896932i
\(658\) −44.5487 + 11.0247i −1.73669 + 0.429788i
\(659\) 5.43161 3.94629i 0.211585 0.153726i −0.476945 0.878933i \(-0.658256\pi\)
0.688531 + 0.725207i \(0.258256\pi\)
\(660\) 0.605397 10.0585i 0.0235650 0.391528i
\(661\) 11.6305 + 8.45008i 0.452376 + 0.328670i 0.790533 0.612419i \(-0.209804\pi\)
−0.338157 + 0.941090i \(0.609804\pi\)
\(662\) −31.5373 12.8060i −1.22573 0.497718i
\(663\) −4.79032 + 10.2705i −0.186040 + 0.398875i
\(664\) 10.6398 + 6.21738i 0.412903 + 0.241281i
\(665\) −13.8851 + 30.8390i −0.538441 + 1.19589i
\(666\) 15.9457 11.5386i 0.617883 0.447110i
\(667\) −10.9838 + 33.8046i −0.425294 + 1.30892i
\(668\) 8.65638 + 4.25946i 0.334925 + 0.164804i
\(669\) 28.0292 5.44581i 1.08367 0.210547i
\(670\) −15.9672 8.61161i −0.616866 0.332695i
\(671\) −3.87602 11.9292i −0.149632 0.460520i
\(672\) −39.2535 + 19.5669i −1.51424 + 0.754809i
\(673\) 14.8417 20.4278i 0.572104 0.787434i −0.420698 0.907201i \(-0.638215\pi\)
0.992802 + 0.119767i \(0.0382147\pi\)
\(674\) −2.32853 3.74095i −0.0896918 0.144096i
\(675\) −16.1757 20.3310i −0.622601 0.782539i
\(676\) 10.0923 20.5103i 0.388167 0.788860i
\(677\) 22.7742 + 16.5464i 0.875284 + 0.635931i 0.932000 0.362459i \(-0.118063\pi\)
−0.0567157 + 0.998390i \(0.518063\pi\)
\(678\) −5.92152 + 30.1685i −0.227415 + 1.15861i
\(679\) 38.1697 12.4021i 1.46482 0.475948i
\(680\) −26.5300 19.6594i −1.01738 0.753903i
\(681\) 0.252814 + 1.30122i 0.00968787 + 0.0498628i
\(682\) 6.41543 + 10.3068i 0.245659 + 0.394668i
\(683\) −3.41152 1.10847i −0.130538 0.0424145i 0.243019 0.970021i \(-0.421862\pi\)
−0.373558 + 0.927607i \(0.621862\pi\)
\(684\) −7.66317 + 18.7688i −0.293008 + 0.717641i
\(685\) 5.22971 + 9.14617i 0.199817 + 0.349457i
\(686\) 38.1302 + 2.73320i 1.45582 + 0.104354i
\(687\) 9.95875 + 4.64489i 0.379950 + 0.177214i
\(688\) 23.0895 + 6.79560i 0.880279 + 0.259080i
\(689\) −7.45841 + 10.2656i −0.284143 + 0.391089i
\(690\) 28.5811 0.327080i 1.08806 0.0124517i
\(691\) −5.82024 8.01087i −0.221412 0.304748i 0.683832 0.729640i \(-0.260312\pi\)
−0.905244 + 0.424892i \(0.860312\pi\)
\(692\) −32.5494 31.6529i −1.23734 1.20326i
\(693\) −9.26037 + 14.8140i −0.351772 + 0.562737i
\(694\) −12.5954 + 3.11704i −0.478114 + 0.118321i
\(695\) 18.4781 + 16.7781i 0.700914 + 0.636429i
\(696\) −20.2228 + 26.5415i −0.766545 + 1.00605i
\(697\) −14.5418 + 4.72493i −0.550811 + 0.178969i
\(698\) −1.14523 0.0820911i −0.0433477 0.00310720i
\(699\) 7.43392 + 13.4139i 0.281177 + 0.507360i
\(700\) 41.8805 + 15.8076i 1.58293 + 0.597471i
\(701\) 18.6611i 0.704821i −0.935846 0.352410i \(-0.885362\pi\)
0.935846 0.352410i \(-0.114638\pi\)
\(702\) 1.14064 9.13830i 0.0430507 0.344903i
\(703\) 4.84387 + 14.9079i 0.182690 + 0.562262i
\(704\) 5.10894 + 9.06689i 0.192550 + 0.341721i
\(705\) 24.0042 + 14.5629i 0.904051 + 0.548470i
\(706\) −10.8833 43.9774i −0.409599 1.65511i
\(707\) 26.6678i 1.00295i
\(708\) 4.45321 16.3850i 0.167362 0.615785i
\(709\) 24.5731 17.8534i 0.922862 0.670499i −0.0213726 0.999772i \(-0.506804\pi\)
0.944235 + 0.329273i \(0.106804\pi\)
\(710\) 11.9914 1.61290i 0.450028 0.0605312i
\(711\) −3.99664 9.89696i −0.149886 0.371165i
\(712\) 2.97171 2.64770i 0.111370 0.0992268i
\(713\) −27.8597 + 20.2413i −1.04335 + 0.758041i
\(714\) 24.0989 + 51.9283i 0.901877 + 1.94337i
\(715\) −3.62388 0.396201i −0.135526 0.0148171i
\(716\) −0.494758 2.86434i −0.0184900 0.107045i
\(717\) 2.30996 0.448803i 0.0862669 0.0167608i
\(718\) −15.1469 + 9.42814i −0.565279 + 0.351855i
\(719\) 14.3775 44.2494i 0.536190 1.65022i −0.204873 0.978789i \(-0.565678\pi\)
0.741063 0.671435i \(-0.234322\pi\)
\(720\) 25.4239 + 8.58044i 0.947494 + 0.319774i
\(721\) −15.3306 47.1827i −0.570941 1.75717i
\(722\) 8.20366 + 6.90812i 0.305309 + 0.257094i
\(723\) −1.73153 + 14.0921i −0.0643962 + 0.524091i
\(724\) −10.7357 + 21.8179i −0.398990 + 0.810855i
\(725\) 33.8980 3.27667i 1.25894 0.121692i
\(726\) −19.9202 11.0897i −0.739308 0.411577i
\(727\) −27.5008 19.9805i −1.01995 0.741035i −0.0536754 0.998558i \(-0.517094\pi\)
−0.966272 + 0.257523i \(0.917094\pi\)
\(728\) 6.37784 + 14.5291i 0.236379 + 0.538485i
\(729\) 5.59992 + 26.4129i 0.207404 + 0.978255i
\(730\) 31.5633 + 33.0746i 1.16821 + 1.22415i
\(731\) 9.70791 29.8779i 0.359060 1.10507i
\(732\) 33.3606 1.62872i 1.23304 0.0601993i
\(733\) −30.2488 9.82844i −1.11727 0.363022i −0.308542 0.951211i \(-0.599841\pi\)
−0.808724 + 0.588189i \(0.799841\pi\)
\(734\) −19.2395 + 47.3813i −0.710145 + 1.74888i
\(735\) −32.9669 38.2524i −1.21600 1.41096i
\(736\) −24.6166 + 16.2934i −0.907380 + 0.600583i
\(737\) 6.03772 4.38666i 0.222402 0.161585i
\(738\) 10.0661 7.28400i 0.370539 0.268128i
\(739\) −2.31204 + 3.18225i −0.0850497 + 0.117061i −0.849422 0.527715i \(-0.823049\pi\)
0.764372 + 0.644775i \(0.223049\pi\)
\(740\) 19.2956 7.62432i 0.709319 0.280275i
\(741\) 6.64674 + 3.10013i 0.244174 + 0.113886i
\(742\) 15.3984 + 62.2219i 0.565292 + 2.28424i
\(743\) 1.51567i 0.0556044i 0.999613 + 0.0278022i \(0.00885085\pi\)
−0.999613 + 0.0278022i \(0.991149\pi\)
\(744\) −30.9652 + 9.28711i −1.13524 + 0.340482i
\(745\) 18.2484 + 1.99511i 0.668571 + 0.0730952i
\(746\) −13.4853 + 16.0143i −0.493731 + 0.586325i
\(747\) −3.16428 + 12.6819i −0.115775 + 0.464006i
\(748\) 12.0160 6.33533i 0.439349 0.231643i
\(749\) 41.8783i 1.53020i
\(750\) −11.2161 24.9840i −0.409555 0.912286i
\(751\) 4.07456i 0.148683i 0.997233 + 0.0743413i \(0.0236854\pi\)
−0.997233 + 0.0743413i \(0.976315\pi\)
\(752\) −28.9858 + 0.809664i −1.05700 + 0.0295254i
\(753\) 8.41214 9.01935i 0.306555 0.328683i
\(754\) 9.23380 + 7.77558i 0.336275 + 0.283170i
\(755\) −7.62227 0.833346i −0.277403 0.0303286i
\(756\) −31.5992 34.1417i −1.14925 1.24172i
\(757\) 39.9026i 1.45028i −0.688599 0.725142i \(-0.741774\pi\)
0.688599 0.725142i \(-0.258226\pi\)
\(758\) 4.98701 1.23416i 0.181136 0.0448267i
\(759\) −4.97027 + 10.6564i −0.180409 + 0.386802i
\(760\) −12.7229 + 17.1693i −0.461507 + 0.622795i
\(761\) 9.31639 12.8229i 0.337719 0.464830i −0.606055 0.795423i \(-0.707249\pi\)
0.943773 + 0.330593i \(0.107249\pi\)
\(762\) −9.10319 + 1.10081i −0.329774 + 0.0398781i
\(763\) 12.6846 9.21593i 0.459215 0.333639i
\(764\) −32.4810 + 17.1253i −1.17512 + 0.619572i
\(765\) 12.1217 32.8586i 0.438262 1.18800i
\(766\) 8.98147 + 3.64699i 0.324514 + 0.131771i
\(767\) −5.84201 1.89818i −0.210943 0.0685394i
\(768\) −26.8666 + 6.79587i −0.969466 + 0.245225i
\(769\) −2.21356 + 6.81263i −0.0798229 + 0.245670i −0.983002 0.183594i \(-0.941227\pi\)
0.903179 + 0.429264i \(0.141227\pi\)
\(770\) −13.3224 + 12.7136i −0.480104 + 0.458167i
\(771\) −19.2607 + 20.6509i −0.693656 + 0.743726i
\(772\) 1.36393 9.46504i 0.0490889 0.340654i
\(773\) −20.3181 14.7620i −0.730791 0.530951i 0.159022 0.987275i \(-0.449166\pi\)
−0.889814 + 0.456324i \(0.849166\pi\)
\(774\) −0.0489665 + 25.5287i