Properties

Label 168.2.ba.c.101.10
Level $168$
Weight $2$
Character 168.101
Analytic conductor $1.341$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 168 = 2^{3} \cdot 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 168.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.34148675396\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(24\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 101.10
Character \(\chi\) \(=\) 168.101
Dual form 168.2.ba.c.5.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.368276 - 1.36542i) q^{2} +(-1.26610 + 1.18195i) q^{3} +(-1.72875 + 1.00570i) q^{4} +(1.54900 - 0.894317i) q^{5} +(2.08013 + 1.29347i) q^{6} +(2.63573 - 0.230049i) q^{7} +(2.00986 + 1.99009i) q^{8} +(0.206000 - 2.99292i) q^{9} +O(q^{10})\) \(q+(-0.368276 - 1.36542i) q^{2} +(-1.26610 + 1.18195i) q^{3} +(-1.72875 + 1.00570i) q^{4} +(1.54900 - 0.894317i) q^{5} +(2.08013 + 1.29347i) q^{6} +(2.63573 - 0.230049i) q^{7} +(2.00986 + 1.99009i) q^{8} +(0.206000 - 2.99292i) q^{9} +(-1.79158 - 1.78568i) q^{10} +(0.501346 - 0.868358i) q^{11} +(1.00007 - 3.31660i) q^{12} +2.47302 q^{13} +(-1.28479 - 3.51416i) q^{14} +(-0.904151 + 2.96313i) q^{15} +(1.97713 - 3.47721i) q^{16} +(3.32963 - 5.76708i) q^{17} +(-4.16246 + 0.820942i) q^{18} +(1.85941 + 3.22059i) q^{19} +(-1.77842 + 3.10388i) q^{20} +(-3.06518 + 3.40656i) q^{21} +(-1.37031 - 0.364754i) q^{22} +(-6.85244 + 3.95626i) q^{23} +(-4.89686 - 0.144094i) q^{24} +(-0.900394 + 1.55953i) q^{25} +(-0.910752 - 3.37671i) q^{26} +(3.27666 + 4.03281i) q^{27} +(-4.32515 + 3.04846i) q^{28} +0.748403 q^{29} +(4.37890 + 0.143297i) q^{30} +(2.87254 + 1.65846i) q^{31} +(-5.47598 - 1.41904i) q^{32} +(0.391600 + 1.69199i) q^{33} +(-9.10071 - 2.42246i) q^{34} +(3.87702 - 2.71353i) q^{35} +(2.65386 + 5.38117i) q^{36} +(-3.22429 + 1.86155i) q^{37} +(3.71268 - 3.72494i) q^{38} +(-3.13108 + 2.92298i) q^{39} +(4.89305 + 1.28520i) q^{40} -2.01044 q^{41} +(5.78022 + 2.93071i) q^{42} -9.19651i q^{43} +(0.00660852 + 2.00538i) q^{44} +(-2.35752 - 4.82027i) q^{45} +(7.92554 + 7.89946i) q^{46} +(-1.19840 - 2.07569i) q^{47} +(1.60665 + 6.73934i) q^{48} +(6.89415 - 1.21270i) q^{49} +(2.46101 + 0.655080i) q^{50} +(2.60076 + 11.2371i) q^{51} +(-4.27522 + 2.48712i) q^{52} +(-6.33884 + 10.9792i) q^{53} +(4.29976 - 5.95920i) q^{54} -1.79345i q^{55} +(5.75527 + 4.78297i) q^{56} +(-6.16075 - 1.87985i) q^{57} +(-0.275619 - 1.02188i) q^{58} +(-7.34922 - 4.24308i) q^{59} +(-1.41698 - 6.03181i) q^{60} +(-2.02442 - 3.50640i) q^{61} +(1.20661 - 4.53300i) q^{62} +(-0.145558 - 7.93592i) q^{63} +(0.0790881 + 7.99961i) q^{64} +(3.83071 - 2.21166i) q^{65} +(2.16606 - 1.15782i) q^{66} +(-6.89843 - 3.98281i) q^{67} +(0.0438896 + 13.3184i) q^{68} +(3.99976 - 13.1082i) q^{69} +(-5.13292 - 4.29443i) q^{70} +5.46843i q^{71} +(6.37021 - 5.60539i) q^{72} +(-5.68546 - 3.28250i) q^{73} +(3.72922 + 3.71695i) q^{74} +(-0.703295 - 3.03873i) q^{75} +(-6.45340 - 3.69757i) q^{76} +(1.12165 - 2.40409i) q^{77} +(5.14419 + 3.19878i) q^{78} +(2.53988 + 4.39920i) q^{79} +(-0.0471537 - 7.15438i) q^{80} +(-8.91513 - 1.23308i) q^{81} +(0.740396 + 2.74510i) q^{82} -5.65457i q^{83} +(1.87294 - 8.97174i) q^{84} -11.9110i q^{85} +(-12.5571 + 3.38685i) q^{86} +(-0.947550 + 0.884573i) q^{87} +(2.73575 - 0.747554i) q^{88} +(7.39495 + 12.8084i) q^{89} +(-5.71347 + 4.99420i) q^{90} +(6.51821 - 0.568916i) q^{91} +(7.86731 - 13.7309i) q^{92} +(-5.59713 + 1.29542i) q^{93} +(-2.39285 + 2.40075i) q^{94} +(5.76045 + 3.32580i) q^{95} +(8.61034 - 4.67568i) q^{96} -1.75577i q^{97} +(-4.19479 - 8.96681i) q^{98} +(-2.49565 - 1.67937i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q + 6 q^{4} - 4 q^{7} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 48 q + 6 q^{4} - 4 q^{7} - 14 q^{9} - 30 q^{10} - 18 q^{12} + 4 q^{15} + 6 q^{16} - 36 q^{22} - 12 q^{24} - 8 q^{25} - 10 q^{28} + 22 q^{30} + 48 q^{31} - 42 q^{33} + 52 q^{36} - 8 q^{39} - 18 q^{40} + 12 q^{42} - 8 q^{46} - 36 q^{49} - 48 q^{52} + 60 q^{54} + 4 q^{57} + 30 q^{58} - 32 q^{60} - 6 q^{63} - 60 q^{64} + 54 q^{66} + 42 q^{70} + 42 q^{72} - 36 q^{73} - 68 q^{78} - 56 q^{79} + 42 q^{81} + 48 q^{82} + 48 q^{84} - 132 q^{87} + 6 q^{88} + 48 q^{94} + 90 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).

\(n\) \(73\) \(85\) \(113\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(-1\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.368276 1.36542i −0.260410 0.965498i
\(3\) −1.26610 + 1.18195i −0.730981 + 0.682398i
\(4\) −1.72875 + 1.00570i −0.864373 + 0.502851i
\(5\) 1.54900 0.894317i 0.692735 0.399951i −0.111901 0.993719i \(-0.535694\pi\)
0.804636 + 0.593769i \(0.202361\pi\)
\(6\) 2.08013 + 1.29347i 0.849209 + 0.528057i
\(7\) 2.63573 0.230049i 0.996213 0.0869505i
\(8\) 2.00986 + 1.99009i 0.710593 + 0.703603i
\(9\) 0.206000 2.99292i 0.0686667 0.997640i
\(10\) −1.79158 1.78568i −0.566547 0.564683i
\(11\) 0.501346 0.868358i 0.151162 0.261820i −0.780493 0.625164i \(-0.785032\pi\)
0.931655 + 0.363345i \(0.118365\pi\)
\(12\) 1.00007 3.31660i 0.288696 0.957421i
\(13\) 2.47302 0.685891 0.342946 0.939355i \(-0.388575\pi\)
0.342946 + 0.939355i \(0.388575\pi\)
\(14\) −1.28479 3.51416i −0.343375 0.939199i
\(15\) −0.904151 + 2.96313i −0.233451 + 0.765077i
\(16\) 1.97713 3.47721i 0.494281 0.869302i
\(17\) 3.32963 5.76708i 0.807553 1.39872i −0.107001 0.994259i \(-0.534125\pi\)
0.914554 0.404464i \(-0.132542\pi\)
\(18\) −4.16246 + 0.820942i −0.981101 + 0.193498i
\(19\) 1.85941 + 3.22059i 0.426577 + 0.738854i 0.996566 0.0827988i \(-0.0263859\pi\)
−0.569989 + 0.821652i \(0.693053\pi\)
\(20\) −1.77842 + 3.10388i −0.397666 + 0.694049i
\(21\) −3.06518 + 3.40656i −0.668878 + 0.743372i
\(22\) −1.37031 0.364754i −0.292150 0.0777658i
\(23\) −6.85244 + 3.95626i −1.42883 + 0.824936i −0.997029 0.0770314i \(-0.975456\pi\)
−0.431803 + 0.901968i \(0.642123\pi\)
\(24\) −4.89686 0.144094i −0.999567 0.0294131i
\(25\) −0.900394 + 1.55953i −0.180079 + 0.311906i
\(26\) −0.910752 3.37671i −0.178613 0.662227i
\(27\) 3.27666 + 4.03281i 0.630593 + 0.776114i
\(28\) −4.32515 + 3.04846i −0.817376 + 0.576104i
\(29\) 0.748403 0.138975 0.0694875 0.997583i \(-0.477864\pi\)
0.0694875 + 0.997583i \(0.477864\pi\)
\(30\) 4.37890 + 0.143297i 0.799474 + 0.0261623i
\(31\) 2.87254 + 1.65846i 0.515924 + 0.297869i 0.735265 0.677779i \(-0.237058\pi\)
−0.219341 + 0.975648i \(0.570391\pi\)
\(32\) −5.47598 1.41904i −0.968025 0.250853i
\(33\) 0.391600 + 1.69199i 0.0681688 + 0.294538i
\(34\) −9.10071 2.42246i −1.56076 0.415449i
\(35\) 3.87702 2.71353i 0.655335 0.458670i
\(36\) 2.65386 + 5.38117i 0.442311 + 0.896862i
\(37\) −3.22429 + 1.86155i −0.530071 + 0.306036i −0.741045 0.671455i \(-0.765670\pi\)
0.210975 + 0.977492i \(0.432336\pi\)
\(38\) 3.71268 3.72494i 0.602277 0.604265i
\(39\) −3.13108 + 2.92298i −0.501374 + 0.468051i
\(40\) 4.89305 + 1.28520i 0.773659 + 0.203208i
\(41\) −2.01044 −0.313978 −0.156989 0.987600i \(-0.550179\pi\)
−0.156989 + 0.987600i \(0.550179\pi\)
\(42\) 5.78022 + 2.93071i 0.891907 + 0.452218i
\(43\) 9.19651i 1.40245i −0.712938 0.701227i \(-0.752636\pi\)
0.712938 0.701227i \(-0.247364\pi\)
\(44\) 0.00660852 + 2.00538i 0.000996272 + 0.302322i
\(45\) −2.35752 4.82027i −0.351439 0.718563i
\(46\) 7.92554 + 7.89946i 1.16856 + 1.16471i
\(47\) −1.19840 2.07569i −0.174805 0.302771i 0.765289 0.643687i \(-0.222596\pi\)
−0.940094 + 0.340916i \(0.889263\pi\)
\(48\) 1.60665 + 6.73934i 0.231899 + 0.972740i
\(49\) 6.89415 1.21270i 0.984879 0.173242i
\(50\) 2.46101 + 0.655080i 0.348039 + 0.0926423i
\(51\) 2.60076 + 11.2371i 0.364179 + 1.57351i
\(52\) −4.27522 + 2.48712i −0.592866 + 0.344901i
\(53\) −6.33884 + 10.9792i −0.870707 + 1.50811i −0.00943963 + 0.999955i \(0.503005\pi\)
−0.861267 + 0.508153i \(0.830329\pi\)
\(54\) 4.29976 5.95920i 0.585123 0.810944i
\(55\) 1.79345i 0.241829i
\(56\) 5.75527 + 4.78297i 0.769081 + 0.639152i
\(57\) −6.16075 1.87985i −0.816012 0.248993i
\(58\) −0.275619 1.02188i −0.0361905 0.134180i
\(59\) −7.34922 4.24308i −0.956787 0.552401i −0.0616046 0.998101i \(-0.519622\pi\)
−0.895183 + 0.445699i \(0.852955\pi\)
\(60\) −1.41698 6.03181i −0.182931 0.778703i
\(61\) −2.02442 3.50640i −0.259200 0.448948i 0.706828 0.707386i \(-0.250126\pi\)
−0.966028 + 0.258438i \(0.916792\pi\)
\(62\) 1.20661 4.53300i 0.153240 0.575692i
\(63\) −0.145558 7.93592i −0.0183386 0.999832i
\(64\) 0.0790881 + 7.99961i 0.00988602 + 0.999951i
\(65\) 3.83071 2.21166i 0.475141 0.274323i
\(66\) 2.16606 1.15782i 0.266624 0.142517i
\(67\) −6.89843 3.98281i −0.842777 0.486577i 0.0154303 0.999881i \(-0.495088\pi\)
−0.858207 + 0.513303i \(0.828422\pi\)
\(68\) 0.0438896 + 13.3184i 0.00532240 + 1.61510i
\(69\) 3.99976 13.1082i 0.481514 1.57804i
\(70\) −5.13292 4.29443i −0.613501 0.513283i
\(71\) 5.46843i 0.648984i 0.945889 + 0.324492i \(0.105193\pi\)
−0.945889 + 0.324492i \(0.894807\pi\)
\(72\) 6.37021 5.60539i 0.750736 0.660602i
\(73\) −5.68546 3.28250i −0.665433 0.384188i 0.128911 0.991656i \(-0.458852\pi\)
−0.794344 + 0.607468i \(0.792185\pi\)
\(74\) 3.72922 + 3.71695i 0.433513 + 0.432087i
\(75\) −0.703295 3.03873i −0.0812095 0.350883i
\(76\) −6.45340 3.69757i −0.740255 0.424140i
\(77\) 1.12165 2.40409i 0.127824 0.273972i
\(78\) 5.14419 + 3.19878i 0.582465 + 0.362190i
\(79\) 2.53988 + 4.39920i 0.285759 + 0.494949i 0.972793 0.231676i \(-0.0744210\pi\)
−0.687034 + 0.726625i \(0.741088\pi\)
\(80\) −0.0471537 7.15438i −0.00527194 0.799884i
\(81\) −8.91513 1.23308i −0.990570 0.137009i
\(82\) 0.740396 + 2.74510i 0.0817631 + 0.303145i
\(83\) 5.65457i 0.620669i −0.950627 0.310335i \(-0.899559\pi\)
0.950627 0.310335i \(-0.100441\pi\)
\(84\) 1.87294 8.97174i 0.204354 0.978897i
\(85\) 11.9110i 1.29193i
\(86\) −12.5571 + 3.38685i −1.35407 + 0.365213i
\(87\) −0.947550 + 0.884573i −0.101588 + 0.0948362i
\(88\) 2.73575 0.747554i 0.291632 0.0796896i
\(89\) 7.39495 + 12.8084i 0.783863 + 1.35769i 0.929676 + 0.368379i \(0.120087\pi\)
−0.145812 + 0.989312i \(0.546580\pi\)
\(90\) −5.71347 + 4.99420i −0.602253 + 0.526435i
\(91\) 6.51821 0.568916i 0.683294 0.0596386i
\(92\) 7.86731 13.7309i 0.820223 1.43154i
\(93\) −5.59713 + 1.29542i −0.580396 + 0.134329i
\(94\) −2.39285 + 2.40075i −0.246804 + 0.247619i
\(95\) 5.76045 + 3.32580i 0.591010 + 0.341220i
\(96\) 8.61034 4.67568i 0.878789 0.477210i
\(97\) 1.75577i 0.178271i −0.996019 0.0891356i \(-0.971590\pi\)
0.996019 0.0891356i \(-0.0284105\pi\)
\(98\) −4.19479 8.96681i −0.423738 0.905785i
\(99\) −2.49565 1.67937i −0.250822 0.168783i
\(100\) −0.0118686 3.60156i −0.00118686 0.360156i
\(101\) 12.6803 + 7.32100i 1.26174 + 0.728467i 0.973411 0.229064i \(-0.0735667\pi\)
0.288330 + 0.957531i \(0.406900\pi\)
\(102\) 14.3856 7.68949i 1.42439 0.761373i
\(103\) −8.54056 + 4.93089i −0.841526 + 0.485855i −0.857783 0.514013i \(-0.828158\pi\)
0.0162566 + 0.999868i \(0.494825\pi\)
\(104\) 4.97042 + 4.92152i 0.487390 + 0.482595i
\(105\) −1.70143 + 8.01802i −0.166043 + 0.782478i
\(106\) 17.3257 + 4.61181i 1.68282 + 0.447939i
\(107\) −3.48110 6.02945i −0.336531 0.582889i 0.647247 0.762281i \(-0.275920\pi\)
−0.983778 + 0.179392i \(0.942587\pi\)
\(108\) −9.72031 3.67635i −0.935337 0.353757i
\(109\) 2.36373 + 1.36470i 0.226404 + 0.130715i 0.608912 0.793238i \(-0.291606\pi\)
−0.382508 + 0.923952i \(0.624939\pi\)
\(110\) −2.44881 + 0.660484i −0.233485 + 0.0629747i
\(111\) 1.88202 6.16785i 0.178633 0.585426i
\(112\) 4.41124 9.61982i 0.416823 0.908988i
\(113\) 0.531154i 0.0499667i −0.999688 0.0249834i \(-0.992047\pi\)
0.999688 0.0249834i \(-0.00795328\pi\)
\(114\) −0.297933 + 9.10432i −0.0279040 + 0.852698i
\(115\) −7.07629 + 12.2565i −0.659868 + 1.14292i
\(116\) −1.29380 + 0.752671i −0.120126 + 0.0698837i
\(117\) 0.509442 7.40154i 0.0470979 0.684272i
\(118\) −3.08704 + 11.5974i −0.284185 + 1.06763i
\(119\) 7.44929 15.9665i 0.682875 1.46364i
\(120\) −7.71411 + 4.15614i −0.704199 + 0.379402i
\(121\) 4.99730 + 8.65558i 0.454300 + 0.786871i
\(122\) −4.04216 + 4.05550i −0.365960 + 0.367168i
\(123\) 2.54541 2.37623i 0.229512 0.214258i
\(124\) −6.63382 + 0.0218611i −0.595734 + 0.00196319i
\(125\) 12.1641i 1.08799i
\(126\) −10.7823 + 3.12135i −0.960560 + 0.278072i
\(127\) −4.52393 −0.401434 −0.200717 0.979649i \(-0.564327\pi\)
−0.200717 + 0.979649i \(0.564327\pi\)
\(128\) 10.8937 3.05405i 0.962876 0.269942i
\(129\) 10.8698 + 11.6437i 0.957031 + 1.02517i
\(130\) −4.43060 4.41603i −0.388590 0.387311i
\(131\) −13.3927 + 7.73228i −1.17013 + 0.675573i −0.953710 0.300729i \(-0.902770\pi\)
−0.216416 + 0.976301i \(0.569437\pi\)
\(132\) −2.37862 2.53119i −0.207032 0.220312i
\(133\) 5.64179 + 8.06085i 0.489205 + 0.698964i
\(134\) −2.89768 + 10.8860i −0.250322 + 0.940409i
\(135\) 8.68216 + 3.31646i 0.747241 + 0.285435i
\(136\) 18.1691 4.96478i 1.55799 0.425727i
\(137\) −9.71195 5.60719i −0.829748 0.479055i 0.0240187 0.999712i \(-0.492354\pi\)
−0.853766 + 0.520657i \(0.825687\pi\)
\(138\) −19.3712 0.633912i −1.64899 0.0539622i
\(139\) 17.9824 1.52525 0.762625 0.646840i \(-0.223910\pi\)
0.762625 + 0.646840i \(0.223910\pi\)
\(140\) −3.97338 + 8.59012i −0.335812 + 0.725998i
\(141\) 3.97066 + 1.21158i 0.334390 + 0.102033i
\(142\) 7.46671 2.01389i 0.626592 0.169002i
\(143\) 1.23984 2.14746i 0.103680 0.179580i
\(144\) −9.99971 6.63368i −0.833309 0.552807i
\(145\) 1.15928 0.669310i 0.0962728 0.0555831i
\(146\) −2.38818 + 8.97191i −0.197647 + 0.742520i
\(147\) −7.29532 + 9.68392i −0.601708 + 0.798716i
\(148\) 3.70182 6.46082i 0.304288 0.531076i
\(149\) −0.462495 0.801066i −0.0378891 0.0656258i 0.846459 0.532454i \(-0.178730\pi\)
−0.884348 + 0.466828i \(0.845397\pi\)
\(150\) −3.89014 + 2.07938i −0.317629 + 0.169781i
\(151\) 9.56720 16.5709i 0.778568 1.34852i −0.154200 0.988040i \(-0.549280\pi\)
0.932767 0.360479i \(-0.117387\pi\)
\(152\) −2.67211 + 10.1733i −0.216736 + 0.825165i
\(153\) −16.5745 11.1533i −1.33997 0.901693i
\(154\) −3.69567 0.646154i −0.297806 0.0520686i
\(155\) 5.93277 0.476531
\(156\) 2.47319 8.20201i 0.198014 0.656687i
\(157\) −5.46873 + 9.47212i −0.436452 + 0.755957i −0.997413 0.0718851i \(-0.977099\pi\)
0.560961 + 0.827842i \(0.310432\pi\)
\(158\) 5.07139 5.08813i 0.403458 0.404790i
\(159\) −4.95125 21.3929i −0.392659 1.69657i
\(160\) −9.75137 + 2.69917i −0.770914 + 0.213388i
\(161\) −17.1510 + 12.0040i −1.35169 + 0.946050i
\(162\) 1.59955 + 12.6270i 0.125672 + 0.992072i
\(163\) −9.21188 + 5.31848i −0.721530 + 0.416576i −0.815316 0.579017i \(-0.803437\pi\)
0.0937855 + 0.995592i \(0.470103\pi\)
\(164\) 3.47554 2.02190i 0.271394 0.157884i
\(165\) 2.11976 + 2.27068i 0.165023 + 0.176772i
\(166\) −7.72086 + 2.08244i −0.599255 + 0.161629i
\(167\) 7.93040 0.613673 0.306836 0.951762i \(-0.400730\pi\)
0.306836 + 0.951762i \(0.400730\pi\)
\(168\) −12.9400 + 0.746727i −0.998339 + 0.0576112i
\(169\) −6.88419 −0.529553
\(170\) −16.2635 + 4.38652i −1.24735 + 0.336431i
\(171\) 10.0220 4.90161i 0.766401 0.374836i
\(172\) 9.24895 + 15.8984i 0.705226 + 1.21224i
\(173\) 3.69882 2.13552i 0.281216 0.162360i −0.352758 0.935715i \(-0.614756\pi\)
0.633974 + 0.773354i \(0.281423\pi\)
\(174\) 1.55677 + 0.968038i 0.118019 + 0.0733868i
\(175\) −2.01443 + 4.31763i −0.152276 + 0.326382i
\(176\) −2.02823 3.46014i −0.152884 0.260818i
\(177\) 14.3199 3.31425i 1.07635 0.249115i
\(178\) 14.7655 14.8143i 1.10672 1.11038i
\(179\) 3.77825 6.54412i 0.282399 0.489130i −0.689576 0.724214i \(-0.742203\pi\)
0.971975 + 0.235083i \(0.0755363\pi\)
\(180\) 8.92331 + 5.96205i 0.665105 + 0.444385i
\(181\) 5.00239 0.371824 0.185912 0.982566i \(-0.440476\pi\)
0.185912 + 0.982566i \(0.440476\pi\)
\(182\) −3.17731 8.69057i −0.235518 0.644188i
\(183\) 6.70749 + 2.04668i 0.495832 + 0.151295i
\(184\) −21.6458 5.68543i −1.59575 0.419136i
\(185\) −3.32963 + 5.76708i −0.244799 + 0.424004i
\(186\) 3.83008 + 7.16537i 0.280835 + 0.525390i
\(187\) −3.33859 5.78261i −0.244142 0.422867i
\(188\) 4.15927 + 2.38311i 0.303346 + 0.173806i
\(189\) 9.56413 + 9.87560i 0.695688 + 0.718344i
\(190\) 2.41968 9.09025i 0.175542 0.659476i
\(191\) −10.4891 + 6.05587i −0.758963 + 0.438188i −0.828923 0.559362i \(-0.811046\pi\)
0.0699601 + 0.997550i \(0.477713\pi\)
\(192\) −9.55525 10.0348i −0.689591 0.724199i
\(193\) 0.592437 1.02613i 0.0426445 0.0738625i −0.843915 0.536476i \(-0.819755\pi\)
0.886560 + 0.462614i \(0.153088\pi\)
\(194\) −2.39736 + 0.646607i −0.172121 + 0.0464237i
\(195\) −2.23598 + 7.32787i −0.160122 + 0.524760i
\(196\) −10.6986 + 9.02991i −0.764188 + 0.644994i
\(197\) −19.5111 −1.39011 −0.695054 0.718957i \(-0.744620\pi\)
−0.695054 + 0.718957i \(0.744620\pi\)
\(198\) −1.37396 + 4.02608i −0.0976432 + 0.286121i
\(199\) −12.7632 7.36884i −0.904760 0.522363i −0.0260186 0.999661i \(-0.508283\pi\)
−0.878741 + 0.477298i \(0.841616\pi\)
\(200\) −4.91327 + 1.34257i −0.347421 + 0.0949341i
\(201\) 13.4415 3.11096i 0.948093 0.219430i
\(202\) 5.32638 20.0101i 0.374763 1.40791i
\(203\) 1.97259 0.172170i 0.138449 0.0120839i
\(204\) −15.7973 16.8105i −1.10603 1.17697i
\(205\) −3.11418 + 1.79797i −0.217503 + 0.125576i
\(206\) 9.87802 + 9.84552i 0.688234 + 0.685970i
\(207\) 10.4292 + 21.3238i 0.724876 + 1.48211i
\(208\) 4.88946 8.59919i 0.339023 0.596247i
\(209\) 3.72883 0.257929
\(210\) 11.5746 0.629671i 0.798720 0.0434514i
\(211\) 14.9240i 1.02741i 0.857967 + 0.513704i \(0.171727\pi\)
−0.857967 + 0.513704i \(0.828273\pi\)
\(212\) −0.0835557 25.3552i −0.00573863 1.74140i
\(213\) −6.46340 6.92356i −0.442865 0.474395i
\(214\) −6.95073 + 6.97367i −0.475142 + 0.476710i
\(215\) −8.22459 14.2454i −0.560913 0.971529i
\(216\) −1.44002 + 14.6262i −0.0979807 + 0.995188i
\(217\) 7.95278 + 3.71044i 0.539870 + 0.251881i
\(218\) 0.992886 3.73007i 0.0672467 0.252633i
\(219\) 11.0781 2.56395i 0.748587 0.173256i
\(220\) 1.80368 + 3.10042i 0.121604 + 0.209030i
\(221\) 8.23422 14.2621i 0.553894 0.959372i
\(222\) −9.11480 0.298276i −0.611746 0.0200190i
\(223\) 7.62187i 0.510398i −0.966889 0.255199i \(-0.917859\pi\)
0.966889 0.255199i \(-0.0821410\pi\)
\(224\) −14.7597 2.48045i −0.986171 0.165732i
\(225\) 4.48206 + 3.01607i 0.298804 + 0.201071i
\(226\) −0.725248 + 0.195611i −0.0482428 + 0.0130118i
\(227\) 13.6531 + 7.88264i 0.906190 + 0.523189i 0.879203 0.476446i \(-0.158075\pi\)
0.0269870 + 0.999636i \(0.491409\pi\)
\(228\) 12.5410 2.94610i 0.830545 0.195110i
\(229\) 8.82193 + 15.2800i 0.582970 + 1.00973i 0.995125 + 0.0986198i \(0.0314428\pi\)
−0.412155 + 0.911114i \(0.635224\pi\)
\(230\) 19.3413 + 5.14835i 1.27533 + 0.339472i
\(231\) 1.42139 + 4.36954i 0.0935208 + 0.287495i
\(232\) 1.50419 + 1.48939i 0.0987547 + 0.0977832i
\(233\) 15.7079 9.06896i 1.02906 0.594127i 0.112344 0.993669i \(-0.464164\pi\)
0.916715 + 0.399542i \(0.130831\pi\)
\(234\) −10.2938 + 2.03020i −0.672928 + 0.132719i
\(235\) −3.71266 2.14350i −0.242187 0.139827i
\(236\) 16.9722 0.0559303i 1.10480 0.00364075i
\(237\) −8.41536 2.56781i −0.546637 0.166797i
\(238\) −24.5443 4.29135i −1.59097 0.278167i
\(239\) 5.41040i 0.349970i −0.984571 0.174985i \(-0.944012\pi\)
0.984571 0.174985i \(-0.0559877\pi\)
\(240\) 8.51580 + 9.00240i 0.549693 + 0.581103i
\(241\) −18.6025 10.7401i −1.19829 0.691834i −0.238117 0.971236i \(-0.576530\pi\)
−0.960174 + 0.279403i \(0.909863\pi\)
\(242\) 9.97813 10.0111i 0.641418 0.643535i
\(243\) 12.7449 8.97601i 0.817583 0.575811i
\(244\) 7.02610 + 4.02571i 0.449800 + 0.257719i
\(245\) 9.59453 8.04403i 0.612972 0.513914i
\(246\) −4.18197 2.60045i −0.266633 0.165798i
\(247\) 4.59834 + 7.96457i 0.292586 + 0.506773i
\(248\) 2.47292 + 9.04990i 0.157031 + 0.574669i
\(249\) 6.68340 + 7.15923i 0.423543 + 0.453698i
\(250\) 16.6091 4.47975i 1.05045 0.283324i
\(251\) 19.8553i 1.25325i −0.779319 0.626627i \(-0.784435\pi\)
0.779319 0.626627i \(-0.215565\pi\)
\(252\) 8.23281 + 13.5728i 0.518618 + 0.855006i
\(253\) 7.93382i 0.498795i
\(254\) 1.66605 + 6.17707i 0.104538 + 0.387584i
\(255\) 14.0781 + 15.0804i 0.881607 + 0.944373i
\(256\) −8.18195 13.7498i −0.511372 0.859360i
\(257\) 4.36616 + 7.56240i 0.272353 + 0.471730i 0.969464 0.245234i \(-0.0788647\pi\)
−0.697111 + 0.716964i \(0.745531\pi\)
\(258\) 11.8954 19.1299i 0.740576 1.19098i
\(259\) −8.07012 + 5.64828i −0.501453 + 0.350967i
\(260\) −4.39805 + 7.67595i −0.272755 + 0.476042i
\(261\) 0.154171 2.23991i 0.00954295 0.138647i
\(262\) 15.4900 + 15.4391i 0.956977 + 0.953828i
\(263\) 17.1429 + 9.89747i 1.05708 + 0.610304i 0.924623 0.380885i \(-0.124381\pi\)
0.132455 + 0.991189i \(0.457714\pi\)
\(264\) −2.58015 + 4.17998i −0.158797 + 0.257260i
\(265\) 22.6757i 1.39296i
\(266\) 8.92871 10.6720i 0.547454 0.654344i
\(267\) −24.5016 7.47627i −1.49947 0.457540i
\(268\) 15.9311 0.0524996i 0.973150 0.00320692i
\(269\) −0.805574 0.465098i −0.0491167 0.0283575i 0.475241 0.879856i \(-0.342361\pi\)
−0.524357 + 0.851498i \(0.675694\pi\)
\(270\) 1.33093 13.0762i 0.0809977 0.795790i
\(271\) −7.45646 + 4.30499i −0.452948 + 0.261509i −0.709074 0.705134i \(-0.750887\pi\)
0.256127 + 0.966643i \(0.417554\pi\)
\(272\) −13.4703 22.9801i −0.816754 1.39337i
\(273\) −7.58025 + 8.42448i −0.458777 + 0.509873i
\(274\) −4.07950 + 15.3259i −0.246452 + 0.925870i
\(275\) 0.902819 + 1.56373i 0.0544420 + 0.0942964i
\(276\) 6.26840 + 26.6834i 0.377314 + 1.60615i
\(277\) −25.5583 14.7561i −1.53565 0.886607i −0.999086 0.0427456i \(-0.986390\pi\)
−0.536562 0.843861i \(-0.680277\pi\)
\(278\) −6.62250 24.5536i −0.397191 1.47263i
\(279\) 5.55539 8.25565i 0.332593 0.494253i
\(280\) 13.1924 + 2.26180i 0.788398 + 0.135168i
\(281\) 21.3260i 1.27220i −0.771605 0.636102i \(-0.780546\pi\)
0.771605 0.636102i \(-0.219454\pi\)
\(282\) 0.192020 5.86781i 0.0114346 0.349423i
\(283\) 10.4247 18.0561i 0.619684 1.07332i −0.369860 0.929088i \(-0.620594\pi\)
0.989543 0.144236i \(-0.0460724\pi\)
\(284\) −5.49962 9.45353i −0.326342 0.560964i
\(285\) −11.2242 + 2.59777i −0.664865 + 0.153879i
\(286\) −3.38879 0.902042i −0.200383 0.0533389i
\(287\) −5.29898 + 0.462500i −0.312789 + 0.0273005i
\(288\) −5.37511 + 16.0968i −0.316732 + 0.948515i
\(289\) −13.6728 23.6820i −0.804284 1.39306i
\(290\) −1.34082 1.33641i −0.0787358 0.0784768i
\(291\) 2.07523 + 2.22297i 0.121652 + 0.130313i
\(292\) 13.1299 0.0432684i 0.768371 0.00253209i
\(293\) 13.1058i 0.765652i 0.923821 + 0.382826i \(0.125049\pi\)
−0.923821 + 0.382826i \(0.874951\pi\)
\(294\) 15.9093 + 6.39483i 0.927850 + 0.372954i
\(295\) −15.1786 −0.883733
\(296\) −10.1850 2.67518i −0.591993 0.155492i
\(297\) 5.14466 0.823477i 0.298523 0.0477830i
\(298\) −0.923465 + 0.926514i −0.0534949 + 0.0536715i
\(299\) −16.9462 + 9.78389i −0.980023 + 0.565817i
\(300\) 4.27188 + 4.54589i 0.246637 + 0.262457i
\(301\) −2.11565 24.2395i −0.121944 1.39714i
\(302\) −26.1496 6.96060i −1.50474 0.400537i
\(303\) −24.7076 + 5.71841i −1.41941 + 0.328514i
\(304\) 14.8749 0.0980389i 0.853136 0.00562292i
\(305\) −6.27166 3.62094i −0.359114 0.207335i
\(306\) −9.12499 + 26.7387i −0.521641 + 1.52855i
\(307\) −18.6425 −1.06398 −0.531992 0.846750i \(-0.678556\pi\)
−0.531992 + 0.846750i \(0.678556\pi\)
\(308\) 0.478754 + 5.28411i 0.0272795 + 0.301090i
\(309\) 4.98511 16.3375i 0.283593 0.929406i
\(310\) −2.18489 8.10072i −0.124094 0.460090i
\(311\) −9.92896 + 17.1975i −0.563020 + 0.975179i 0.434211 + 0.900811i \(0.357027\pi\)
−0.997231 + 0.0743677i \(0.976306\pi\)
\(312\) −12.1100 0.356347i −0.685595 0.0201742i
\(313\) 2.33108 1.34585i 0.131760 0.0760718i −0.432671 0.901552i \(-0.642429\pi\)
0.564431 + 0.825480i \(0.309096\pi\)
\(314\) 14.9474 + 3.97876i 0.843532 + 0.224535i
\(315\) −7.32270 12.1626i −0.412587 0.685284i
\(316\) −8.81510 5.05074i −0.495888 0.284126i
\(317\) −5.35288 9.27147i −0.300648 0.520737i 0.675635 0.737236i \(-0.263870\pi\)
−0.976283 + 0.216499i \(0.930536\pi\)
\(318\) −27.3869 + 14.6390i −1.53578 + 0.820915i
\(319\) 0.375209 0.649881i 0.0210077 0.0363864i
\(320\) 7.27669 + 12.3207i 0.406780 + 0.688747i
\(321\) 11.5339 + 3.51938i 0.643760 + 0.196433i
\(322\) 22.7069 + 18.9976i 1.26540 + 1.05869i
\(323\) 24.7645 1.37794
\(324\) 16.6521 6.83428i 0.925117 0.379682i
\(325\) −2.22669 + 3.85674i −0.123514 + 0.213933i
\(326\) 10.6545 + 10.6194i 0.590097 + 0.588155i
\(327\) −4.60572 + 1.06596i −0.254697 + 0.0589479i
\(328\) −4.04071 4.00095i −0.223111 0.220916i
\(329\) −3.63618 5.19528i −0.200469 0.286425i
\(330\) 2.31978 3.73061i 0.127700 0.205363i
\(331\) 18.8525 10.8845i 1.03623 0.598266i 0.117465 0.993077i \(-0.462523\pi\)
0.918762 + 0.394811i \(0.129190\pi\)
\(332\) 5.68681 + 9.77531i 0.312104 + 0.536490i
\(333\) 4.90725 + 10.0335i 0.268916 + 0.549834i
\(334\) −2.92057 10.8283i −0.159807 0.592500i
\(335\) −14.2476 −0.778428
\(336\) 5.78507 + 17.3935i 0.315601 + 0.948892i
\(337\) −11.3104 −0.616116 −0.308058 0.951368i \(-0.599679\pi\)
−0.308058 + 0.951368i \(0.599679\pi\)
\(338\) 2.53528 + 9.39982i 0.137901 + 0.511283i
\(339\) 0.627796 + 0.672492i 0.0340972 + 0.0365247i
\(340\) 11.9789 + 20.5910i 0.649646 + 1.11671i
\(341\) 2.88028 1.66293i 0.155976 0.0900527i
\(342\) −10.3836 11.8791i −0.561482 0.642348i
\(343\) 17.8922 4.78234i 0.966086 0.258222i
\(344\) 18.3019 18.4837i 0.986771 0.996575i
\(345\) −5.52727 23.8817i −0.297578 1.28575i
\(346\) −4.27806 4.26399i −0.229990 0.229233i
\(347\) −9.94032 + 17.2171i −0.533624 + 0.924265i 0.465604 + 0.884993i \(0.345837\pi\)
−0.999229 + 0.0392715i \(0.987496\pi\)
\(348\) 0.748457 2.48216i 0.0401215 0.133058i
\(349\) 9.45348 0.506033 0.253017 0.967462i \(-0.418577\pi\)
0.253017 + 0.967462i \(0.418577\pi\)
\(350\) 6.63725 + 1.16046i 0.354776 + 0.0620293i
\(351\) 8.10323 + 9.97319i 0.432518 + 0.532330i
\(352\) −3.97759 + 4.04368i −0.212006 + 0.215529i
\(353\) 8.48135 14.6901i 0.451417 0.781877i −0.547057 0.837095i \(-0.684252\pi\)
0.998474 + 0.0552182i \(0.0175854\pi\)
\(354\) −9.79903 18.3322i −0.520812 0.974343i
\(355\) 4.89051 + 8.47062i 0.259561 + 0.449574i
\(356\) −25.6655 14.7054i −1.36027 0.779385i
\(357\) 9.44000 + 29.0197i 0.499618 + 1.53589i
\(358\) −10.3269 2.74886i −0.545794 0.145282i
\(359\) −18.2162 + 10.5171i −0.961413 + 0.555072i −0.896608 0.442826i \(-0.853976\pi\)
−0.0648056 + 0.997898i \(0.520643\pi\)
\(360\) 4.85447 14.3798i 0.255853 0.757880i
\(361\) 2.58521 4.47771i 0.136064 0.235669i
\(362\) −1.84226 6.83036i −0.0968269 0.358996i
\(363\) −16.5575 5.05225i −0.869044 0.265174i
\(364\) −10.6962 + 7.53889i −0.560631 + 0.395145i
\(365\) −11.7424 −0.614625
\(366\) 0.324373 9.91228i 0.0169553 0.518123i
\(367\) 1.24875 + 0.720966i 0.0651842 + 0.0376341i 0.532238 0.846595i \(-0.321351\pi\)
−0.467054 + 0.884229i \(0.654685\pi\)
\(368\) 0.208597 + 31.6494i 0.0108739 + 1.64984i
\(369\) −0.414151 + 6.01708i −0.0215598 + 0.313237i
\(370\) 9.10071 + 2.42246i 0.473124 + 0.125938i
\(371\) −14.1817 + 30.3964i −0.736278 + 1.57810i
\(372\) 8.37321 7.86850i 0.434131 0.407963i
\(373\) 18.8362 10.8751i 0.975302 0.563091i 0.0744535 0.997224i \(-0.476279\pi\)
0.900848 + 0.434134i \(0.142945\pi\)
\(374\) −6.66618 + 6.68818i −0.344700 + 0.345838i
\(375\) −14.3774 15.4010i −0.742443 0.795302i
\(376\) 1.72219 6.55679i 0.0888154 0.338141i
\(377\) 1.85081 0.0953217
\(378\) 9.96210 16.6960i 0.512395 0.858750i
\(379\) 1.82298i 0.0936402i −0.998903 0.0468201i \(-0.985091\pi\)
0.998903 0.0468201i \(-0.0149087\pi\)
\(380\) −13.3031 + 0.0438392i −0.682436 + 0.00224890i
\(381\) 5.72774 5.34705i 0.293441 0.273938i
\(382\) 12.1317 + 12.0918i 0.620711 + 0.618669i
\(383\) 4.81069 + 8.33236i 0.245815 + 0.425763i 0.962360 0.271777i \(-0.0876112\pi\)
−0.716546 + 0.697540i \(0.754278\pi\)
\(384\) −10.1828 + 16.7425i −0.519636 + 0.854388i
\(385\) −0.412582 4.72705i −0.0210271 0.240913i
\(386\) −1.61928 0.431026i −0.0824192 0.0219387i
\(387\) −27.5244 1.89448i −1.39914 0.0963019i
\(388\) 1.76578 + 3.03528i 0.0896439 + 0.154093i
\(389\) 14.0629 24.3576i 0.713017 1.23498i −0.250703 0.968064i \(-0.580662\pi\)
0.963719 0.266917i \(-0.0860050\pi\)
\(390\) 10.8291 + 0.354375i 0.548352 + 0.0179445i
\(391\) 52.6914i 2.66472i
\(392\) 16.2697 + 11.2826i 0.821743 + 0.569859i
\(393\) 7.81730 25.6193i 0.394331 1.29232i
\(394\) 7.18546 + 26.6409i 0.361998 + 1.34215i
\(395\) 7.86857 + 4.54292i 0.395911 + 0.228579i
\(396\) 6.00329 + 0.393329i 0.301676 + 0.0197655i
\(397\) −9.42646 16.3271i −0.473101 0.819434i 0.526425 0.850221i \(-0.323532\pi\)
−0.999526 + 0.0307871i \(0.990199\pi\)
\(398\) −5.36119 + 20.1409i −0.268732 + 1.00957i
\(399\) −16.6706 3.53751i −0.834571 0.177097i
\(400\) 3.64261 + 6.21424i 0.182131 + 0.310712i
\(401\) 5.22718 3.01791i 0.261033 0.150707i −0.363773 0.931488i \(-0.618512\pi\)
0.624806 + 0.780780i \(0.285178\pi\)
\(402\) −9.19796 17.2077i −0.458753 0.858240i
\(403\) 7.10385 + 4.10141i 0.353868 + 0.204306i
\(404\) −29.2838 + 0.0965021i −1.45693 + 0.00480116i
\(405\) −14.9123 + 6.06290i −0.740999 + 0.301268i
\(406\) −0.961541 2.63001i −0.0477205 0.130525i
\(407\) 3.73312i 0.185044i
\(408\) −17.1357 + 27.7608i −0.848344 + 1.37437i
\(409\) 22.6629 + 13.0844i 1.12061 + 0.646984i 0.941556 0.336856i \(-0.109364\pi\)
0.179052 + 0.983840i \(0.442697\pi\)
\(410\) 3.60186 + 3.59001i 0.177883 + 0.177298i
\(411\) 18.9237 4.37976i 0.933436 0.216038i
\(412\) 9.80544 17.1135i 0.483080 0.843123i
\(413\) −20.3467 9.49292i −1.00120 0.467116i
\(414\) 25.2751 22.0932i 1.24220 1.08582i
\(415\) −5.05698 8.75894i −0.248237 0.429959i
\(416\) −13.5422 3.50930i −0.663960 0.172058i
\(417\) −22.7675 + 21.2543i −1.11493 + 1.04083i
\(418\) −1.37324 5.09142i −0.0671672 0.249029i
\(419\) 2.51866i 0.123045i 0.998106 + 0.0615223i \(0.0195955\pi\)
−0.998106 + 0.0615223i \(0.980404\pi\)
\(420\) −5.12239 15.5722i −0.249947 0.759848i
\(421\) 33.4873i 1.63207i 0.578003 + 0.816034i \(0.303832\pi\)
−0.578003 + 0.816034i \(0.696168\pi\)
\(422\) 20.3775 5.49614i 0.991961 0.267548i
\(423\) −6.45926 + 3.15913i −0.314060 + 0.153602i
\(424\) −34.5898 + 9.45180i −1.67983 + 0.459020i
\(425\) 5.99595 + 10.3853i 0.290846 + 0.503761i
\(426\) −7.07326 + 11.3750i −0.342701 + 0.551123i
\(427\) −6.14247 8.77620i −0.297255 0.424710i
\(428\) 12.0818 + 6.92243i 0.583995 + 0.334608i
\(429\) 0.968433 + 4.18432i 0.0467564 + 0.202021i
\(430\) −16.4221 + 16.4763i −0.791942 + 0.794556i
\(431\) 12.0003 + 6.92836i 0.578033 + 0.333727i 0.760351 0.649512i \(-0.225027\pi\)
−0.182319 + 0.983240i \(0.558360\pi\)
\(432\) 20.5013 3.42026i 0.986368 0.164557i
\(433\) 9.79368i 0.470654i −0.971916 0.235327i \(-0.924384\pi\)
0.971916 0.235327i \(-0.0756161\pi\)
\(434\) 2.13749 12.2254i 0.102603 0.586836i
\(435\) −0.676669 + 2.21762i −0.0324438 + 0.106327i
\(436\) −5.45878 + 0.0179889i −0.261428 + 0.000861511i
\(437\) −25.4829 14.7126i −1.21901 0.703798i
\(438\) −7.58066 14.1820i −0.362218 0.677642i
\(439\) 6.99463 4.03835i 0.333835 0.192740i −0.323707 0.946157i \(-0.604929\pi\)
0.657543 + 0.753417i \(0.271596\pi\)
\(440\) 3.56913 3.60459i 0.170151 0.171842i
\(441\) −2.20931 20.8835i −0.105205 0.994451i
\(442\) −22.5062 5.99079i −1.07051 0.284953i
\(443\) 8.84884 + 15.3266i 0.420421 + 0.728191i 0.995981 0.0895692i \(-0.0285490\pi\)
−0.575559 + 0.817760i \(0.695216\pi\)
\(444\) 2.94949 + 12.5554i 0.139977 + 0.595852i
\(445\) 22.9096 + 13.2269i 1.08602 + 0.627014i
\(446\) −10.4071 + 2.80695i −0.492788 + 0.132913i
\(447\) 1.53238 + 0.467581i 0.0724791 + 0.0221158i
\(448\) 2.04876 + 21.0666i 0.0967948 + 0.995304i
\(449\) 19.4650i 0.918609i 0.888279 + 0.459305i \(0.151901\pi\)
−0.888279 + 0.459305i \(0.848099\pi\)
\(450\) 2.46757 7.23064i 0.116322 0.340856i
\(451\) −1.00793 + 1.74578i −0.0474614 + 0.0822056i
\(452\) 0.534182 + 0.918230i 0.0251258 + 0.0431899i
\(453\) 7.47291 + 32.2882i 0.351108 + 1.51703i
\(454\) 5.73500 21.5453i 0.269157 1.01117i
\(455\) 9.58793 6.71059i 0.449489 0.314597i
\(456\) −8.64119 16.0387i −0.404661 0.751081i
\(457\) 7.75626 + 13.4342i 0.362823 + 0.628427i 0.988424 0.151715i \(-0.0484797\pi\)
−0.625601 + 0.780143i \(0.715146\pi\)
\(458\) 17.6148 17.6729i 0.823084 0.825801i
\(459\) 34.1676 5.46902i 1.59481 0.255272i
\(460\) −0.0932765 28.3050i −0.00434904 1.31973i
\(461\) 0.857290i 0.0399280i −0.999801 0.0199640i \(-0.993645\pi\)
0.999801 0.0199640i \(-0.00635516\pi\)
\(462\) 5.44280 3.55000i 0.253222 0.165161i
\(463\) 37.5731 1.74617 0.873086 0.487566i \(-0.162115\pi\)
0.873086 + 0.487566i \(0.162115\pi\)
\(464\) 1.47969 2.60235i 0.0686927 0.120811i
\(465\) −7.51146 + 7.01222i −0.348335 + 0.325184i
\(466\) −18.1678 18.1080i −0.841606 0.838837i
\(467\) 8.69155 5.01807i 0.402197 0.232208i −0.285235 0.958458i \(-0.592072\pi\)
0.687431 + 0.726249i \(0.258738\pi\)
\(468\) 6.56305 + 13.3077i 0.303377 + 0.615150i
\(469\) −19.0986 8.91063i −0.881893 0.411455i
\(470\) −1.55950 + 5.85874i −0.0719345 + 0.270244i
\(471\) −4.27161 18.4564i −0.196825 0.850424i
\(472\) −6.32682 23.1536i −0.291216 1.06573i
\(473\) −7.98586 4.61064i −0.367190 0.211997i
\(474\) −0.406966 + 12.4362i −0.0186926 + 0.571212i
\(475\) −6.69680 −0.307270
\(476\) 3.17958 + 35.0937i 0.145736 + 1.60852i
\(477\) 31.5540 + 21.2333i 1.44476 + 0.972208i
\(478\) −7.38747 + 1.99252i −0.337895 + 0.0911357i
\(479\) 11.0594 19.1555i 0.505318 0.875237i −0.494663 0.869085i \(-0.664708\pi\)
0.999981 0.00615194i \(-0.00195824\pi\)
\(480\) 9.15590 14.9430i 0.417908 0.682052i
\(481\) −7.97373 + 4.60364i −0.363571 + 0.209908i
\(482\) −7.81397 + 29.3555i −0.355917 + 1.33711i
\(483\) 7.52675 35.4699i 0.342479 1.61394i
\(484\) −17.3440 9.93751i −0.788364 0.451705i
\(485\) −1.57021 2.71969i −0.0712997 0.123495i
\(486\) −16.9496 14.0964i −0.768852 0.639427i
\(487\) 11.2659 19.5131i 0.510506 0.884223i −0.489419 0.872049i \(-0.662791\pi\)
0.999926 0.0121746i \(-0.00387541\pi\)
\(488\) 2.90924 11.0761i 0.131695 0.501394i
\(489\) 5.37696 17.6217i 0.243155 0.796879i
\(490\) −14.5169 10.1381i −0.655807 0.457995i
\(491\) 25.1085 1.13313 0.566565 0.824017i \(-0.308272\pi\)
0.566565 + 0.824017i \(0.308272\pi\)
\(492\) −2.01058 + 6.66783i −0.0906441 + 0.300609i
\(493\) 2.49190 4.31610i 0.112230 0.194387i
\(494\) 9.18152 9.21183i 0.413096 0.414460i
\(495\) −5.36765 0.369451i −0.241258 0.0166056i
\(496\) 11.4462 6.70944i 0.513950 0.301263i
\(497\) 1.25801 + 14.4133i 0.0564295 + 0.646526i
\(498\) 7.31402 11.7622i 0.327749 0.527078i
\(499\) 9.19695 5.30986i 0.411712 0.237702i −0.279813 0.960054i \(-0.590273\pi\)
0.691525 + 0.722353i \(0.256939\pi\)
\(500\) −12.2335 21.0287i −0.547098 0.940431i
\(501\) −10.0407 + 9.37332i −0.448583 + 0.418769i
\(502\) −27.1108 + 7.31222i −1.21001 + 0.326360i
\(503\) 13.3046 0.593223 0.296612 0.954998i \(-0.404143\pi\)
0.296612 + 0.954998i \(0.404143\pi\)
\(504\) 15.5006 16.2398i 0.690453 0.723377i
\(505\) 26.1892 1.16540
\(506\) 10.8330 2.92183i 0.481586 0.129891i
\(507\) 8.71605 8.13675i 0.387093 0.361366i
\(508\) 7.82073 4.54973i 0.346989 0.201862i
\(509\) 20.2595 11.6968i 0.897985 0.518452i 0.0214392 0.999770i \(-0.493175\pi\)
0.876546 + 0.481318i \(0.159842\pi\)
\(510\) 15.4065 24.7763i 0.682211 1.09711i
\(511\) −15.7405 7.34385i −0.696318 0.324873i
\(512\) −15.7610 + 16.2355i −0.696544 + 0.717515i
\(513\) −6.89536 + 18.0514i −0.304438 + 0.796988i
\(514\) 8.71791 8.74669i 0.384531 0.385800i
\(515\) −8.81956 + 15.2759i −0.388636 + 0.673138i
\(516\) −30.5012 9.19717i −1.34274 0.404883i
\(517\) −2.40326 −0.105695
\(518\) 10.6843 + 8.93899i 0.469442 + 0.392757i
\(519\) −2.15900 + 7.07558i −0.0947695 + 0.310584i
\(520\) 12.1006 + 3.17832i 0.530646 + 0.139379i
\(521\) −0.735700 + 1.27427i −0.0322316 + 0.0558267i −0.881691 0.471827i \(-0.843595\pi\)
0.849460 + 0.527654i \(0.176928\pi\)
\(522\) −3.11520 + 0.614396i −0.136348 + 0.0268914i
\(523\) 5.30372 + 9.18631i 0.231915 + 0.401689i 0.958372 0.285523i \(-0.0921674\pi\)
−0.726456 + 0.687213i \(0.758834\pi\)
\(524\) 15.3762 26.8362i 0.671713 1.17235i
\(525\) −2.55275 7.84749i −0.111411 0.342492i
\(526\) 7.20089 27.0523i 0.313974 1.17954i
\(527\) 19.1290 11.0441i 0.833272 0.481090i
\(528\) 6.65764 + 1.98360i 0.289737 + 0.0863252i
\(529\) 19.8039 34.3014i 0.861040 1.49137i
\(530\) 30.9619 8.35092i 1.34490 0.362741i
\(531\) −14.2131 + 21.1216i −0.616797 + 0.916597i
\(532\) −17.8600 8.26119i −0.774331 0.358168i
\(533\) −4.97185 −0.215355
\(534\) −1.18490 + 36.2083i −0.0512754 + 1.56689i
\(535\) −10.7845 6.22642i −0.466254 0.269192i
\(536\) −5.93874 21.7334i −0.256514 0.938739i
\(537\) 2.95118 + 12.7512i 0.127353 + 0.550254i
\(538\) −0.338381 + 1.27123i −0.0145887 + 0.0548067i
\(539\) 2.40331 6.59457i 0.103518 0.284048i
\(540\) −18.3446 + 2.99836i −0.789426 + 0.129029i
\(541\) −14.0009 + 8.08343i −0.601946 + 0.347534i −0.769807 0.638277i \(-0.779647\pi\)
0.167861 + 0.985811i \(0.446314\pi\)
\(542\) 8.62415 + 8.59578i 0.370439 + 0.369220i
\(543\) −6.33350 + 5.91256i −0.271797 + 0.253732i
\(544\) −26.4167 + 26.8556i −1.13261 + 1.15142i
\(545\) 4.88190 0.209118
\(546\) 14.2946 + 7.24769i 0.611751 + 0.310173i
\(547\) 12.4170i 0.530914i 0.964123 + 0.265457i \(0.0855228\pi\)
−0.964123 + 0.265457i \(0.914477\pi\)
\(548\) 22.4287 0.0739115i 0.958105 0.00315734i
\(549\) −10.9114 + 5.33660i −0.465687 + 0.227761i
\(550\) 1.80266 1.80861i 0.0768657 0.0771194i
\(551\) 1.39159 + 2.41030i 0.0592836 + 0.102682i
\(552\) 34.1255 18.3858i 1.45248 0.782553i
\(553\) 7.70648 + 11.0108i 0.327713 + 0.468228i
\(554\) −10.7358 + 40.3321i −0.456119 + 1.71355i
\(555\) −2.60076 11.2371i −0.110396 0.476989i
\(556\) −31.0871 + 18.0850i −1.31839 + 0.766974i
\(557\) −10.7167 + 18.5619i −0.454081 + 0.786492i −0.998635 0.0522341i \(-0.983366\pi\)
0.544554 + 0.838726i \(0.316699\pi\)
\(558\) −13.3183 4.54509i −0.563810 0.192409i
\(559\) 22.7431i 0.961931i
\(560\) −1.77015 18.8462i −0.0748023 0.796396i
\(561\) 11.0617 + 3.37530i 0.467026 + 0.142505i
\(562\) −29.1190 + 7.85385i −1.22831 + 0.331295i
\(563\) −17.9430 10.3594i −0.756205 0.436595i 0.0717262 0.997424i \(-0.477149\pi\)
−0.827932 + 0.560829i \(0.810483\pi\)
\(564\) −8.08274 + 1.89878i −0.340345 + 0.0799532i
\(565\) −0.475020 0.822758i −0.0199842 0.0346137i
\(566\) −28.4933 7.58447i −1.19766 0.318799i
\(567\) −23.7815 1.19916i −0.998731 0.0503598i
\(568\) −10.8827 + 10.9908i −0.456627 + 0.461164i
\(569\) −23.8691 + 13.7808i −1.00064 + 0.577722i −0.908439 0.418018i \(-0.862725\pi\)
−0.0922056 + 0.995740i \(0.529392\pi\)
\(570\) 7.68065 + 14.3691i 0.321707 + 0.601854i
\(571\) −0.339940 0.196264i −0.0142260 0.00821340i 0.492870 0.870103i \(-0.335948\pi\)
−0.507096 + 0.861889i \(0.669281\pi\)
\(572\) 0.0163430 + 4.95933i 0.000683334 + 0.207360i
\(573\) 6.12246 20.0649i 0.255770 0.838222i
\(574\) 2.58299 + 7.06500i 0.107812 + 0.294888i
\(575\) 14.2488i 0.594214i
\(576\) 23.9585 + 1.41122i 0.998270 + 0.0588007i
\(577\) −12.7927 7.38589i −0.532569 0.307479i 0.209493 0.977810i \(-0.432819\pi\)
−0.742062 + 0.670331i \(0.766152\pi\)
\(578\) −27.3006 + 27.3907i −1.13555 + 1.13930i
\(579\) 0.462751 + 1.99941i 0.0192313 + 0.0830926i
\(580\) −1.33097 + 2.32296i −0.0552656 + 0.0964555i
\(581\) −1.30083 14.9039i −0.0539675 0.618319i
\(582\) 2.27104 3.65222i 0.0941375 0.151389i
\(583\) 6.35591 + 11.0088i 0.263235 + 0.455936i
\(584\) −4.89452 17.9119i −0.202536 0.741202i
\(585\) −5.83019 11.9206i −0.241049 0.492856i
\(586\) 17.8950 4.82656i 0.739235 0.199384i
\(587\) 3.51421i 0.145047i 0.997367 + 0.0725236i \(0.0231052\pi\)
−0.997367 + 0.0725236i \(0.976895\pi\)
\(588\) 2.87262 24.0780i 0.118465 0.992958i
\(589\) 12.3350i 0.508256i
\(590\) 5.58992 + 20.7252i 0.230133 + 0.853243i
\(591\) 24.7029 23.0611i 1.01614 0.948607i
\(592\) 0.0981518 + 14.8921i 0.00403401 + 0.612060i
\(593\) −17.8824 30.9732i −0.734342 1.27192i −0.955012 0.296568i \(-0.904158\pi\)
0.220670 0.975349i \(-0.429176\pi\)
\(594\) −3.01905 6.72135i −0.123873 0.275781i
\(595\) −2.74011 31.3941i −0.112334 1.28703i
\(596\) 1.60517 + 0.919706i 0.0657504 + 0.0376726i
\(597\) 24.8690 5.75578i 1.01782 0.235568i
\(598\) 19.6000 + 19.5355i 0.801503 + 0.798866i
\(599\) −35.4819 20.4855i −1.44975 0.837014i −0.451284 0.892380i \(-0.649034\pi\)
−0.998466 + 0.0553669i \(0.982367\pi\)
\(600\) 4.63382 7.50705i 0.189175 0.306474i
\(601\) 36.1540i 1.47475i 0.675482 + 0.737377i \(0.263936\pi\)
−0.675482 + 0.737377i \(0.736064\pi\)
\(602\) −32.3180 + 11.8156i −1.31718 + 0.481567i
\(603\) −13.3413 + 19.8260i −0.543300 + 0.807376i
\(604\) 0.126110 + 38.2686i 0.00513136 + 1.55713i
\(605\) 15.4817 + 8.93835i 0.629419 + 0.363395i
\(606\) 16.9072 + 31.6303i 0.686809 + 1.28489i
\(607\) 9.04038 5.21946i 0.366938 0.211851i −0.305182 0.952294i \(-0.598717\pi\)
0.672120 + 0.740443i \(0.265384\pi\)
\(608\) −5.61194 20.2744i −0.227594 0.822237i
\(609\) −2.29399 + 2.54948i −0.0929573 + 0.103310i
\(610\) −2.63441 + 9.89696i −0.106664 + 0.400716i
\(611\) −2.96367 5.13323i −0.119897 0.207668i
\(612\) 39.8700 + 2.61224i 1.61165 + 0.105594i
\(613\) −5.37925 3.10571i −0.217266 0.125439i 0.387418 0.921904i \(-0.373367\pi\)
−0.604684 + 0.796466i \(0.706700\pi\)
\(614\) 6.86558 + 25.4548i 0.277072 + 1.02727i
\(615\) 1.81774 5.95720i 0.0732984 0.240217i
\(616\) 7.03872 2.59971i 0.283598 0.104745i
\(617\) 22.4963i 0.905669i 0.891595 + 0.452834i \(0.149587\pi\)
−0.891595 + 0.452834i \(0.850413\pi\)
\(618\) −24.1434 0.790078i −0.971191 0.0317816i
\(619\) −14.1624 + 24.5300i −0.569235 + 0.985943i 0.427407 + 0.904059i \(0.359427\pi\)
−0.996642 + 0.0818842i \(0.973906\pi\)
\(620\) −10.2563 + 5.96660i −0.411901 + 0.239624i
\(621\) −38.4079 14.6712i −1.54126 0.588737i
\(622\) 27.1384 + 7.22380i 1.08815 + 0.289648i
\(623\) 22.4377 + 32.0584i 0.898947 + 1.28439i
\(624\) 3.97326 + 16.6665i 0.159058 + 0.667194i
\(625\) 6.37661 + 11.0446i 0.255064 + 0.441785i
\(626\) −2.69613 2.68726i −0.107759 0.107404i
\(627\) −4.72106 + 4.40728i −0.188541 + 0.176010i
\(628\) −0.0720863 21.8748i −0.00287656 0.872899i
\(629\) 24.7930i 0.988563i
\(630\) −13.9103 + 14.4777i −0.554198 + 0.576807i
\(631\) 8.51542 0.338993 0.169497 0.985531i \(-0.445786\pi\)
0.169497 + 0.985531i \(0.445786\pi\)
\(632\) −3.65000 + 13.8964i −0.145189 + 0.552768i
\(633\) −17.6393 18.8952i −0.701101 0.751016i
\(634\) −10.6881 + 10.7234i −0.424479 + 0.425880i
\(635\) −7.00758 + 4.04583i −0.278087 + 0.160554i
\(636\) 30.0743 + 32.0034i 1.19252 + 1.26902i
\(637\) 17.0494 2.99902i 0.675520 0.118825i
\(638\) −1.02554 0.272983i −0.0406016 0.0108075i
\(639\) 16.3666 + 1.12650i 0.647452 + 0.0445636i
\(640\) 14.1431 14.4732i 0.559055 0.572102i
\(641\) −0.0793494 0.0458124i −0.00313411 0.00180948i 0.498432 0.866929i \(-0.333909\pi\)
−0.501566 + 0.865119i \(0.667243\pi\)
\(642\) 0.557778 17.0447i 0.0220138 0.672702i
\(643\) 5.89351 0.232417 0.116209 0.993225i \(-0.462926\pi\)
0.116209 + 0.993225i \(0.462926\pi\)
\(644\) 17.5773 38.0008i 0.692644 1.49744i
\(645\) 27.2505 + 8.31503i 1.07299 + 0.327404i
\(646\) −9.12017 33.8140i −0.358828 1.33039i
\(647\) 4.05903 7.03045i 0.159577 0.276396i −0.775139 0.631791i \(-0.782320\pi\)
0.934716 + 0.355395i \(0.115654\pi\)
\(648\) −15.4642 20.2202i −0.607492 0.794326i
\(649\) −7.36901 + 4.25450i −0.289259 + 0.167004i
\(650\) 6.08611 + 1.62002i 0.238717 + 0.0635426i
\(651\) −14.4545 + 4.70200i −0.566518 + 0.184286i
\(652\) 10.5762 18.4587i 0.414196 0.722899i
\(653\) 16.7312 + 28.9792i 0.654741 + 1.13404i 0.981959 + 0.189095i \(0.0605555\pi\)
−0.327218 + 0.944949i \(0.606111\pi\)
\(654\) 3.15166 + 5.89617i 0.123240 + 0.230559i
\(655\) −13.8302 + 23.9547i −0.540392 + 0.935986i
\(656\) −3.97489 + 6.99072i −0.155193 + 0.272942i
\(657\) −10.9955 + 16.3399i −0.428974 + 0.637481i
\(658\) −5.75463 + 6.87821i −0.224339 + 0.268141i
\(659\) −15.5448 −0.605540 −0.302770 0.953064i \(-0.597911\pi\)
−0.302770 + 0.953064i \(0.597911\pi\)
\(660\) −5.94816 1.79358i −0.231532 0.0698150i
\(661\) 15.4190 26.7065i 0.599731 1.03876i −0.393130 0.919483i \(-0.628608\pi\)
0.992861 0.119281i \(-0.0380590\pi\)
\(662\) −21.8048 21.7331i −0.847469 0.844681i
\(663\) 6.43172 + 27.7896i 0.249787 + 1.07926i
\(664\) 11.2531 11.3649i 0.436705 0.441044i
\(665\) 15.9481 + 7.44072i 0.618441 + 0.288539i
\(666\) 11.8928 10.3956i 0.460835 0.402820i
\(667\) −5.12838 + 2.96087i −0.198572 + 0.114646i
\(668\) −13.7096 + 7.97562i −0.530442 + 0.308586i
\(669\) 9.00865 + 9.65002i 0.348294 + 0.373091i
\(670\) 5.24703 + 19.4539i 0.202711 + 0.751571i
\(671\) −4.05974 −0.156725
\(672\) 21.6189 14.3046i 0.833967 0.551814i
\(673\) 3.84855 0.148351 0.0741753 0.997245i \(-0.476368\pi\)
0.0741753 + 0.997245i \(0.476368\pi\)
\(674\) 4.16534 + 15.4434i 0.160443 + 0.594858i
\(675\) −9.23956 + 1.47893i −0.355631 + 0.0569239i
\(676\) 11.9010 6.92345i 0.457731 0.266286i
\(677\) 32.5497 18.7926i 1.25099 0.722257i 0.279680 0.960093i \(-0.409772\pi\)
0.971305 + 0.237836i \(0.0764382\pi\)
\(678\) 0.687032 1.10487i 0.0263853 0.0424322i
\(679\) −0.403913 4.62773i −0.0155008 0.177596i
\(680\) 23.7039 23.9394i 0.909003 0.918034i
\(681\) −26.6031 + 6.15711i −1.01943 + 0.235941i
\(682\) −3.33134 3.32038i −0.127563 0.127144i
\(683\) 1.02051 1.76757i 0.0390487 0.0676343i −0.845841 0.533436i \(-0.820901\pi\)
0.884889 + 0.465802i \(0.154234\pi\)
\(684\) −12.3959 + 18.5528i −0.473970 + 0.709384i
\(685\) −20.0584 −0.766394
\(686\) −13.1191 22.6691i −0.500891 0.865510i
\(687\) −29.2296 8.91894i −1.11518 0.340279i
\(688\) −31.9782 18.1826i −1.21916 0.693207i
\(689\) −15.6761 + 27.1517i −0.597210 + 1.03440i
\(690\) −30.5730 + 16.3421i −1.16390 + 0.622133i
\(691\) −11.7334 20.3229i −0.446360 0.773119i 0.551786 0.833986i \(-0.313947\pi\)
−0.998146 + 0.0608673i \(0.980613\pi\)
\(692\) −4.24663 + 7.41168i −0.161433 + 0.281750i
\(693\) −6.96419 3.85225i −0.264548 0.146335i
\(694\) 27.1694 + 7.23206i 1.03134 + 0.274525i
\(695\) 27.8548 16.0820i 1.05659 0.610025i
\(696\) −3.66482 0.107840i −0.138915 0.00408768i
\(697\) −6.69401 + 11.5944i −0.253554 + 0.439168i
\(698\) −3.48149 12.9080i −0.131776 0.488574i
\(699\) −9.16868 + 30.0481i −0.346791 + 1.13652i
\(700\) −0.859818 9.49000i −0.0324981 0.358688i
\(701\) −15.4603 −0.583926 −0.291963 0.956430i \(-0.594308\pi\)
−0.291963 + 0.956430i \(0.594308\pi\)
\(702\) 10.6334 14.7372i 0.401331 0.556220i
\(703\) −11.9906 6.92275i −0.452232 0.261096i
\(704\) 6.98617 + 3.94190i 0.263301 + 0.148566i
\(705\) 7.23409 1.67428i 0.272452 0.0630572i
\(706\) −23.1817 6.17059i −0.872454 0.232233i
\(707\) 35.1062 + 16.3791i 1.32030 + 0.615999i
\(708\) −21.4223 + 20.1311i −0.805101 + 0.756572i
\(709\) 41.7153 24.0843i 1.56665 0.904505i 0.570093 0.821580i \(-0.306907\pi\)
0.996556 0.0829254i \(-0.0264263\pi\)
\(710\) 9.76490 9.79713i 0.366470 0.367680i
\(711\) 13.6897 6.69542i 0.513403 0.251098i
\(712\) −10.6271 + 40.4598i −0.398267 + 1.51630i
\(713\) −26.2452 −0.982891
\(714\) 36.1476 23.5768i 1.35279 0.882341i
\(715\) 4.43523i 0.165868i
\(716\) 0.0498031 + 15.1129i 0.00186123 + 0.564796i
\(717\) 6.39481 + 6.85009i 0.238819 + 0.255821i
\(718\) 21.0689 + 20.9995i 0.786283 + 0.783696i
\(719\) −6.49021 11.2414i −0.242044 0.419232i 0.719252 0.694749i \(-0.244484\pi\)
−0.961296 + 0.275517i \(0.911151\pi\)
\(720\) −21.4222 1.33268i −0.798358 0.0496659i
\(721\) −21.3763 + 14.9613i −0.796094 + 0.557186i
\(722\) −7.06603 1.88086i −0.262970 0.0699985i
\(723\) 36.2468 8.38909i 1.34803 0.311994i
\(724\) −8.64786 + 5.03091i −0.321395 + 0.186972i
\(725\) −0.673858 + 1.16716i −0.0250264 + 0.0433471i
\(726\) −0.800719 + 24.4686i −0.0297175 + 0.908115i
\(727\) 12.0095i 0.445406i 0.974886 + 0.222703i \(0.0714880\pi\)
−0.974886 + 0.222703i \(0.928512\pi\)
\(728\) 14.2329 + 11.8284i 0.527506 + 0.438389i
\(729\) −5.52704 + 26.4282i −0.204705 + 0.978824i
\(730\) 4.32444 + 16.0333i 0.160055 + 0.593419i
\(731\) −53.0370 30.6209i −1.96164 1.13256i
\(732\) −13.6539 + 3.20755i −0.504662 + 0.118554i
\(733\) −4.29808 7.44449i −0.158753 0.274968i 0.775666 0.631143i \(-0.217414\pi\)
−0.934419 + 0.356175i \(0.884081\pi\)
\(734\) 0.524538 1.97058i 0.0193610 0.0727355i
\(735\) −2.63998 + 21.5247i −0.0973770 + 0.793952i
\(736\) 43.1379 11.9405i 1.59008 0.440133i
\(737\) −6.91700 + 3.99353i −0.254791 + 0.147104i
\(738\) 8.36837 1.65046i 0.308044 0.0607541i
\(739\) 2.25350 + 1.30106i 0.0828963 + 0.0478602i 0.540875 0.841103i \(-0.318093\pi\)
−0.457979 + 0.888963i \(0.651426\pi\)
\(740\) −0.0438896 13.3184i −0.00161342 0.489595i
\(741\) −15.2356 4.64891i −0.559695 0.170782i
\(742\) 46.7267 + 8.16974i 1.71539 + 0.299921i
\(743\) 13.4061i 0.491823i −0.969292 0.245911i \(-0.920913\pi\)
0.969292 0.245911i \(-0.0790872\pi\)
\(744\) −13.8275 8.53518i −0.506940 0.312915i
\(745\) −1.43281 0.827235i −0.0524942 0.0303075i
\(746\) −21.7860 21.7143i −0.797642 0.795018i
\(747\) −16.9237 1.16484i −0.619204 0.0426193i
\(748\) 11.5872 + 6.63904i 0.423669 + 0.242747i
\(749\) −10.5623 15.0912i −0.385939 0.551420i
\(750\) −15.7339 + 25.3029i −0.574522 + 0.923932i
\(751\) −7.86182 13.6171i −0.286882 0.496894i 0.686182 0.727430i \(-0.259285\pi\)
−0.973064 + 0.230536i \(0.925952\pi\)
\(752\) −9.58701 + 0.0631869i −0.349602 + 0.00230419i
\(753\) 23.4679 + 25.1387i 0.855218 + 0.916105i
\(754\) −0.681609 2.52714i −0.0248228 0.0920329i
\(755\) 34.2244i 1.24555i
\(756\) −26.4659 7.45373i −0.962554 0.271090i
\(757\) 48.7626i 1.77231i −0.463391 0.886154i \(-0.653367\pi\)
0.463391 0.886154i \(-0.346633\pi\)
\(758\) −2.48913 + 0.671359i −0.0904094 + 0.0243849i
\(759\) −9.37736 10.0450i −0.340377 0.364610i
\(760\) 4.95908 + 18.1482i 0.179885 + 0.658305i
\(761\) −21.7170 37.6149i −0.787240 1.36354i −0.927652 0.373447i \(-0.878176\pi\)
0.140411 0.990093i \(-0.455158\pi\)
\(762\) −9.41036 5.85158i −0.340901 0.211980i
\(763\) 6.54411 + 3.05321i 0.236913 + 0.110534i
\(764\) 12.0426 21.0180i 0.435684 0.760403i
\(765\) −35.6486 2.45366i −1.28888 0.0887123i
\(766\) 9.60551 9.63722i 0.347061 0.348207i
\(767\) −18.1747 10.4932i −0.656252 0.378887i
\(768\) 26.6106 + 7.73788i 0.960228 + 0.279217i
\(769\) 23.9226i 0.862670i −0.902192 0.431335i \(-0.858043\pi\)
0.902192 0.431335i \(-0.141957\pi\)
\(770\) −6.30247 + 2.30421i −0.227125 + 0.0830379i
\(771\) −14.4663 4.41417i −0.520993 0.158972i
\(772\) 0.00780924 + 2.36974i 0.000281061 + 0.0852886i