Properties

Label 168.2.ba.c.101.15
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 101.15
Character \(\chi\) \(=\) 168.101
Dual form 168.2.ba.c.5.15

$q$-expansion

\(f(q)\) \(=\) \(q+(0.368276 + 1.36542i) q^{2} +(-0.390548 + 1.68745i) q^{3} +(-1.72875 + 1.00570i) q^{4} +(-1.54900 + 0.894317i) q^{5} +(-2.44790 + 0.0881824i) q^{6} +(2.63573 - 0.230049i) q^{7} +(-2.00986 - 1.99009i) q^{8} +(-2.69494 - 1.31806i) q^{9} +O(q^{10})\) \(q+(0.368276 + 1.36542i) q^{2} +(-0.390548 + 1.68745i) q^{3} +(-1.72875 + 1.00570i) q^{4} +(-1.54900 + 0.894317i) q^{5} +(-2.44790 + 0.0881824i) q^{6} +(2.63573 - 0.230049i) q^{7} +(-2.00986 - 1.99009i) q^{8} +(-2.69494 - 1.31806i) q^{9} +(-1.79158 - 1.78568i) q^{10} +(-0.501346 + 0.868358i) q^{11} +(-1.02191 - 3.30994i) 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} +(0.807221 - 4.16514i) q^{18} +(1.85941 + 3.22059i) q^{19} +(1.77842 - 3.10388i) q^{20} +(-0.641185 + 4.53750i) q^{21} +(-1.37031 - 0.364754i) q^{22} +(6.85244 - 3.95626i) q^{23} +(4.14312 - 2.61431i) 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} +(3.71294 - 2.32580i) q^{30} +(2.87254 + 1.65846i) q^{31} +(5.47598 + 1.41904i) q^{32} +(-1.26951 - 1.18513i) q^{33} +(-9.10071 - 2.42246i) q^{34} +(-3.87702 + 2.71353i) q^{35} +(5.98445 - 0.431724i) q^{36} +(-3.22429 + 1.86155i) q^{37} +(-3.71268 + 3.72494i) q^{38} +(-0.965832 + 4.17308i) q^{39} +(4.89305 + 1.28520i) q^{40} +2.01044 q^{41} +(-6.43172 + 0.795563i) q^{42} -9.19651i q^{43} +(-0.00660852 - 2.00538i) q^{44} +(5.35324 - 0.368459i) q^{45} +(7.92554 + 7.89946i) q^{46} +(1.19840 + 2.07569i) q^{47} +(5.09544 + 4.69431i) q^{48} +(6.89415 - 1.21270i) q^{49} +(-2.46101 - 0.655080i) q^{50} +(-8.43126 - 7.87089i) q^{51} +(-4.27522 + 2.48712i) q^{52} +(6.33884 - 10.9792i) q^{53} +(6.71319 + 2.98883i) 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} +(4.54308 + 4.21319i) q^{60} +(-2.02442 - 3.50640i) q^{61} +(-1.20661 + 4.53300i) q^{62} +(-7.40637 - 2.85408i) q^{63} +(0.0790881 + 7.99961i) q^{64} +(-3.83071 + 2.21166i) q^{65} +(1.15067 - 2.16986i) 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} +(2.79341 + 8.01229i) q^{72} +(-5.68546 - 3.28250i) q^{73} +(-3.72922 - 3.71695i) q^{74} +(-2.27997 - 2.12844i) q^{75} +(-6.45340 - 3.69757i) q^{76} +(-1.12165 + 2.40409i) q^{77} +(-6.05370 + 0.218077i) q^{78} +(2.53988 + 4.39920i) q^{79} +(0.0471537 + 7.15438i) q^{80} +(5.52545 + 7.10419i) q^{81} +(0.740396 + 2.74510i) q^{82} +5.65457i q^{83} +(-3.45493 - 8.48902i) q^{84} -11.9110i q^{85} +(12.5571 - 3.38685i) q^{86} +(0.292288 - 1.26289i) q^{87} +(2.73575 - 0.747554i) q^{88} +(-7.39495 - 12.8084i) q^{89} +(2.47457 + 7.17372i) q^{90} +(6.51821 - 0.568916i) q^{91} +(-7.86731 + 13.7309i) q^{92} +(-3.92043 + 4.19955i) q^{93} +(-2.39285 + 2.40075i) q^{94} +(-5.76045 - 3.32580i) q^{95} +(-4.53318 + 8.68621i) 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
\(3\) −0.390548 + 1.68745i −0.225483 + 0.974247i
\(4\) −1.72875 + 1.00570i −0.864373 + 0.502851i
\(5\) −1.54900 + 0.894317i −0.692735 + 0.399951i −0.804636 0.593769i \(-0.797639\pi\)
0.111901 + 0.993719i \(0.464306\pi\)
\(6\) −2.44790 + 0.0881824i −0.999352 + 0.0360003i
\(7\) 2.63573 0.230049i 0.996213 0.0869505i
\(8\) −2.00986 1.99009i −0.710593 0.703603i
\(9\) −2.69494 1.31806i −0.898315 0.439353i
\(10\) −1.79158 1.78568i −0.566547 0.564683i
\(11\) −0.501346 + 0.868358i −0.151162 + 0.261820i −0.931655 0.363345i \(-0.881635\pi\)
0.780493 + 0.625164i \(0.214968\pi\)
\(12\) −1.02191 3.30994i −0.295000 0.955497i
\(13\) 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 \(0.465875\pi\)
−0.914554 + 0.404464i \(0.867458\pi\)
\(18\) 0.807221 4.16514i 0.190264 0.981733i
\(19\) 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
\(21\) −0.641185 + 4.53750i −0.139918 + 0.990163i
\(22\) −1.37031 0.364754i −0.292150 0.0777658i
\(23\) 6.85244 3.95626i 1.42883 0.824936i 0.431803 0.901968i \(-0.357877\pi\)
0.997029 + 0.0770314i \(0.0245442\pi\)
\(24\) 4.14312 2.61431i 0.845710 0.533643i
\(25\) −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 \(-0.522136\pi\)
−0.0694875 + 0.997583i \(0.522136\pi\)
\(30\) 3.71294 2.32580i 0.677888 0.424630i
\(31\) 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
\(33\) −1.26951 1.18513i −0.220993 0.206305i
\(34\) −9.10071 2.42246i −1.56076 0.415449i
\(35\) −3.87702 + 2.71353i −0.655335 + 0.458670i
\(36\) 5.98445 0.431724i 0.997408 0.0719540i
\(37\) −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
\(39\) −0.965832 + 4.17308i −0.154657 + 0.668228i
\(40\) 4.89305 + 1.28520i 0.773659 + 0.203208i
\(41\) 2.01044 0.313978 0.156989 0.987600i \(-0.449821\pi\)
0.156989 + 0.987600i \(0.449821\pi\)
\(42\) −6.43172 + 0.795563i −0.992437 + 0.122758i
\(43\) 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
\(45\) 5.35324 0.368459i 0.798013 0.0549266i
\(46\) 7.92554 + 7.89946i 1.16856 + 1.16471i
\(47\) 1.19840 + 2.07569i 0.174805 + 0.302771i 0.940094 0.340916i \(-0.110737\pi\)
−0.765289 + 0.643687i \(0.777404\pi\)
\(48\) 5.09544 + 4.69431i 0.735463 + 0.677565i
\(49\) 6.89415 1.21270i 0.984879 0.173242i
\(50\) −2.46101 0.655080i −0.348039 0.0926423i
\(51\) −8.43126 7.87089i −1.18061 1.10214i
\(52\) −4.27522 + 2.48712i −0.592866 + 0.344901i
\(53\) 6.33884 10.9792i 0.870707 1.50811i 0.00943963 0.999955i \(-0.496995\pi\)
0.861267 0.508153i \(-0.169671\pi\)
\(54\) 6.71319 + 2.98883i 0.913549 + 0.406728i
\(55\) 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 0.895183 0.445699i \(-0.147045\pi\)
0.0616046 + 0.998101i \(0.480378\pi\)
\(60\) 4.54308 + 4.21319i 0.586508 + 0.543921i
\(61\) −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
\(63\) −7.40637 2.85408i −0.933114 0.359580i
\(64\) 0.0790881 + 7.99961i 0.00988602 + 0.999951i
\(65\) −3.83071 + 2.21166i −0.475141 + 0.274323i
\(66\) 1.15067 2.16986i 0.141638 0.267092i
\(67\) −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 \(-0.894807\pi\)
0.945889 0.324492i \(-0.105193\pi\)
\(72\) 2.79341 + 8.01229i 0.329207 + 0.944258i
\(73\) −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
\(75\) −2.27997 2.12844i −0.263268 0.245771i
\(76\) −6.45340 3.69757i −0.740255 0.424140i
\(77\) −1.12165 + 2.40409i −0.127824 + 0.273972i
\(78\) −6.05370 + 0.218077i −0.685447 + 0.0246923i
\(79\) 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
\(81\) 5.52545 + 7.10419i 0.613938 + 0.789354i
\(82\) 0.740396 + 2.74510i 0.0817631 + 0.303145i
\(83\) 5.65457i 0.620669i 0.950627 + 0.310335i \(0.100441\pi\)
−0.950627 + 0.310335i \(0.899559\pi\)
\(84\) −3.45493 8.48902i −0.376963 0.926228i
\(85\) 11.9110i 1.29193i
\(86\) 12.5571 3.38685i 1.35407 0.365213i
\(87\) 0.292288 1.26289i 0.0313365 0.135396i
\(88\) 2.73575 0.747554i 0.291632 0.0796896i
\(89\) −7.39495 12.8084i −0.783863 1.35769i −0.929676 0.368379i \(-0.879913\pi\)
0.145812 0.989312i \(-0.453420\pi\)
\(90\) 2.47457 + 7.17372i 0.260842 + 0.756177i
\(91\) 6.51821 0.568916i 0.683294 0.0596386i
\(92\) −7.86731 + 13.7309i −0.820223 + 1.43154i
\(93\) −3.92043 + 4.19955i −0.406530 + 0.435473i
\(94\) −2.39285 + 2.40075i −0.246804 + 0.247619i
\(95\) −5.76045 3.32580i −0.591010 0.341220i
\(96\) −4.53318 + 8.68621i −0.462666 + 0.886533i
\(97\) 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 −0.288330 0.957531i \(-0.593100\pi\)
−0.973411 + 0.229064i \(0.926433\pi\)
\(102\) 7.64204 14.4109i 0.756675 1.42689i
\(103\) −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
\(105\) −3.06476 7.60202i −0.299090 0.741881i
\(106\) 17.3257 + 4.61181i 1.68282 + 0.447939i
\(107\) 3.48110 + 6.02945i 0.336531 + 0.582889i 0.983778 0.179392i \(-0.0574130\pi\)
−0.647247 + 0.762281i \(0.724080\pi\)
\(108\) −1.60871 + 10.2670i −0.154798 + 0.987946i
\(109\) 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 \(0.00795328\pi\)
−0.999688 + 0.0249834i \(0.992047\pi\)
\(114\) −4.83565 7.71972i −0.452900 0.723018i
\(115\) −7.07629 + 12.2565i −0.659868 + 1.14292i
\(116\) 1.29380 0.752671i 0.120126 0.0698837i
\(117\) −6.66464 3.25958i −0.616146 0.301348i
\(118\) −3.08704 + 11.5974i −0.284185 + 1.06763i
\(119\) −7.44929 + 15.9665i −0.682875 + 1.46364i
\(120\) −4.07968 + 7.75482i −0.372422 + 0.707915i
\(121\) 4.99730 + 8.65558i 0.454300 + 0.786871i
\(122\) 4.04216 4.05550i 0.365960 0.367168i
\(123\) −0.785174 + 3.39251i −0.0707967 + 0.305892i
\(124\) −6.63382 + 0.0218611i −0.595734 + 0.00196319i
\(125\) 12.1641i 1.08799i
\(126\) 1.16943 11.1639i 0.104181 0.994558i
\(127\) −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
\(129\) 15.5186 + 3.59168i 1.36634 + 0.316230i
\(130\) −4.43060 4.41603i −0.388590 0.387311i
\(131\) 13.3927 7.73228i 1.17013 0.675573i 0.216416 0.976301i \(-0.430563\pi\)
0.953710 + 0.300729i \(0.0972298\pi\)
\(132\) 3.38654 + 0.772044i 0.294761 + 0.0671978i
\(133\) 5.64179 + 8.06085i 0.489205 + 0.698964i
\(134\) 2.89768 10.8860i 0.250322 0.940409i
\(135\) −1.46894 + 9.17720i −0.126427 + 0.789847i
\(136\) 18.1691 4.96478i 1.55799 0.425727i
\(137\) 9.71195 + 5.60719i 0.829748 + 0.479055i 0.853766 0.520657i \(-0.174313\pi\)
−0.0240187 + 0.999712i \(0.507646\pi\)
\(138\) −16.4252 + 10.2888i −1.39821 + 0.875840i
\(139\) 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
\(144\) −9.91140 + 6.76491i −0.825950 + 0.563743i
\(145\) 1.15928 0.669310i 0.0962728 0.0555831i
\(146\) 2.38818 8.97191i 0.197647 0.742520i
\(147\) −0.646141 + 12.1071i −0.0532928 + 0.998579i
\(148\) 3.70182 6.46082i 0.304288 0.531076i
\(149\) 0.462495 + 0.801066i 0.0378891 + 0.0656258i 0.884348 0.466828i \(-0.154603\pi\)
−0.846459 + 0.532454i \(0.821270\pi\)
\(150\) 2.06655 3.89697i 0.168733 0.318186i
\(151\) 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
\(156\) −2.52720 8.18553i −0.202338 0.655367i
\(157\) −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
\(159\) 16.0512 + 14.9844i 1.27294 + 1.18834i
\(160\) −9.75137 + 2.69917i −0.770914 + 0.213388i
\(161\) 17.1510 12.0040i 1.35169 0.946050i
\(162\) −7.66531 + 10.1609i −0.602244 + 0.798312i
\(163\) −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
\(165\) 3.02635 + 0.700429i 0.235601 + 0.0545283i
\(166\) −7.72086 + 2.08244i −0.599255 + 0.161629i
\(167\) −7.93040 −0.613673 −0.306836 0.951762i \(-0.599270\pi\)
−0.306836 + 0.951762i \(0.599270\pi\)
\(168\) 10.3187 7.84373i 0.796106 0.605157i
\(169\) −6.88419 −0.529553
\(170\) 16.2635 4.38652i 1.24735 0.336431i
\(171\) −0.766076 11.1301i −0.0585833 0.851141i
\(172\) 9.24895 + 15.8984i 0.705226 + 1.21224i
\(173\) −3.69882 + 2.13552i −0.281216 + 0.162360i −0.633974 0.773354i \(-0.718577\pi\)
0.352758 + 0.935715i \(0.385244\pi\)
\(174\) 1.83202 0.0659960i 0.138885 0.00500314i
\(175\) −2.01443 + 4.31763i −0.152276 + 0.326382i
\(176\) 2.02823 + 3.46014i 0.152884 + 0.260818i
\(177\) −10.0302 + 10.7443i −0.753915 + 0.807590i
\(178\) 14.7655 14.8143i 1.10672 1.11038i
\(179\) −3.77825 + 6.54412i −0.282399 + 0.489130i −0.971975 0.235083i \(-0.924464\pi\)
0.689576 + 0.724214i \(0.257797\pi\)
\(180\) −8.88383 + 6.02073i −0.662161 + 0.448759i
\(181\) 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
\(186\) −7.17795 3.80645i −0.526313 0.279102i
\(187\) −3.33859 5.78261i −0.244142 0.422867i
\(188\) −4.15927 2.38311i −0.303346 0.173806i
\(189\) 7.70864 11.3832i 0.560721 0.828005i
\(190\) 2.41968 9.09025i 0.175542 0.659476i
\(191\) 10.4891 6.05587i 0.758963 0.438188i −0.0699601 0.997550i \(-0.522287\pi\)
0.828923 + 0.559362i \(0.188954\pi\)
\(192\) −13.5298 2.99078i −0.976429 0.215841i
\(193\) 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 \(-0.255380\pi\)
0.695054 + 0.718957i \(0.255380\pi\)
\(198\) 3.21213 + 2.78914i 0.228276 + 0.198215i
\(199\) −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
\(201\) 9.41494 10.0852i 0.664079 0.711358i
\(202\) 5.32638 20.0101i 0.374763 1.40791i
\(203\) −1.97259 + 0.172170i −0.138449 + 0.0120839i
\(204\) 22.4913 + 5.12743i 1.57470 + 0.358992i
\(205\) −3.11418 + 1.79797i −0.217503 + 0.125576i
\(206\) −9.87802 9.84552i −0.688234 0.685970i
\(207\) −23.6815 + 1.62998i −1.64598 + 0.113291i
\(208\) 4.88946 8.59919i 0.339023 0.596247i
\(209\) −3.72883 −0.257929
\(210\) 9.25127 6.98433i 0.638398 0.481965i
\(211\) 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
\(213\) 9.22768 + 2.13569i 0.632270 + 0.146335i
\(214\) −6.95073 + 6.97367i −0.475142 + 0.476710i
\(215\) 8.22459 + 14.2454i 0.560913 + 0.971529i
\(216\) −14.6113 + 1.58454i −0.994171 + 0.107814i
\(217\) 7.95278 + 3.71044i 0.539870 + 0.251881i
\(218\) −0.992886 + 3.73007i −0.0672467 + 0.252633i
\(219\) 7.75949 8.31193i 0.524338 0.561668i
\(220\) 1.80368 + 3.10042i 0.121604 + 0.209030i
\(221\) −8.23422 + 14.2621i −0.553894 + 0.959372i
\(222\) 7.72860 4.84121i 0.518710 0.324921i
\(223\) 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 −0.0269870 0.999636i \(-0.508591\pi\)
−0.879203 + 0.476446i \(0.841925\pi\)
\(228\) 8.75981 9.44567i 0.580132 0.625555i
\(229\) 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
\(231\) −3.61871 2.83164i −0.238094 0.186308i
\(232\) 1.50419 + 1.48939i 0.0987547 + 0.0977832i
\(233\) −15.7079 + 9.06896i −1.02906 + 0.594127i −0.916715 0.399542i \(-0.869169\pi\)
−0.112344 + 0.993669i \(0.535836\pi\)
\(234\) 1.99627 10.3005i 0.130500 0.673362i
\(235\) −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 \(0.0559877\pi\)
−0.984571 + 0.174985i \(0.944012\pi\)
\(240\) −12.0910 2.71456i −0.780473 0.175224i
\(241\) −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
\(243\) −14.1459 + 6.54936i −0.907459 + 0.420142i
\(244\) 7.02610 + 4.02571i 0.449800 + 0.257719i
\(245\) −9.59453 + 8.04403i −0.612972 + 0.513914i
\(246\) −4.92136 + 0.177285i −0.313774 + 0.0113033i
\(247\) 4.59834 + 7.96457i 0.292586 + 0.506773i
\(248\) −2.47292 9.04990i −0.157031 0.574669i
\(249\) −9.54177 2.20838i −0.604685 0.139951i
\(250\) 16.6091 4.47975i 1.05045 0.283324i
\(251\) 19.8553i 1.25325i 0.779319 + 0.626627i \(0.215565\pi\)
−0.779319 + 0.626627i \(0.784435\pi\)
\(252\) 15.6741 2.51463i 0.987374 0.158407i
\(253\) 7.93382i 0.498795i
\(254\) −1.66605 6.17707i −0.104538 0.387584i
\(255\) 20.0991 + 4.65181i 1.25865 + 0.291308i
\(256\) −8.18195 13.7498i −0.511372 0.859360i
\(257\) −4.36616 7.56240i −0.272353 0.471730i 0.697111 0.716964i \(-0.254469\pi\)
−0.969464 + 0.245234i \(0.921135\pi\)
\(258\) 0.810970 + 22.5121i 0.0504888 + 1.40154i
\(259\) −8.07012 + 5.64828i −0.501453 + 0.350967i
\(260\) 4.39805 7.67595i 0.272755 0.476042i
\(261\) 2.01690 + 0.986439i 0.124843 + 0.0610590i
\(262\) 15.4900 + 15.4391i 0.956977 + 0.953828i
\(263\) −17.1429 9.89747i −1.05708 0.610304i −0.132455 0.991189i \(-0.542286\pi\)
−0.924623 + 0.380885i \(0.875619\pi\)
\(264\) 0.193016 + 4.90838i 0.0118793 + 0.302090i
\(265\) 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 0.524357 0.851498i \(-0.324306\pi\)
−0.475241 + 0.879856i \(0.657639\pi\)
\(270\) −13.0717 + 1.37401i −0.795519 + 0.0836197i
\(271\) −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
\(273\) −1.58566 + 11.2213i −0.0959685 + 0.679144i
\(274\) −4.07950 + 15.3259i −0.246452 + 0.925870i
\(275\) −0.902819 1.56373i −0.0544420 0.0942964i
\(276\) −20.0975 18.6382i −1.20973 1.12189i
\(277\) −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 \(0.219454\pi\)
−0.771605 + 0.636102i \(0.780546\pi\)
\(282\) −3.11661 4.97542i −0.185592 0.296282i
\(283\) 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
\(285\) 7.86184 8.42156i 0.465695 0.498850i
\(286\) −3.38879 0.902042i −0.200383 0.0533389i
\(287\) 5.29898 0.462500i 0.312789 0.0273005i
\(288\) −12.8871 11.0419i −0.759379 0.650649i
\(289\) −13.6728 23.6820i −0.804284 1.39306i
\(290\) 1.34082 + 1.33641i 0.0787358 + 0.0784768i
\(291\) 2.96276 + 0.685712i 0.173680 + 0.0401972i
\(292\) 13.1299 0.0432684i 0.768371 0.00253209i
\(293\) 13.1058i 0.765652i −0.923821 0.382826i \(-0.874951\pi\)
0.923821 0.382826i \(-0.125049\pi\)
\(294\) −16.7693 + 3.57651i −0.978004 + 0.208586i
\(295\) −15.1786 −0.883733
\(296\) 10.1850 + 2.67518i 0.591993 + 0.155492i
\(297\) 1.85918 + 4.86714i 0.107880 + 0.282420i
\(298\) −0.923465 + 0.926514i −0.0534949 + 0.0536715i
\(299\) 16.9462 9.78389i 0.980023 0.565817i
\(300\) 6.08207 + 1.38655i 0.351148 + 0.0800528i
\(301\) −2.11565 24.2395i −0.121944 1.39714i
\(302\) 26.1496 + 6.96060i 1.50474 + 0.400537i
\(303\) 17.3061 18.5382i 0.994208 1.06499i
\(304\) 14.8749 0.0980389i 0.853136 0.00562292i
\(305\) 6.27166 + 3.62094i 0.359114 + 0.207335i
\(306\) 21.3330 + 18.5237i 1.21952 + 1.05893i
\(307\) −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 \(-0.642973\pi\)
0.997231 0.0743677i \(-0.0236939\pi\)
\(312\) 10.2460 6.46522i 0.580065 0.366021i
\(313\) 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
\(315\) 14.0249 2.20267i 0.790215 0.124106i
\(316\) −8.81510 5.05074i −0.495888 0.284126i
\(317\) 5.35288 + 9.27147i 0.300648 + 0.520737i 0.976283 0.216499i \(-0.0694638\pi\)
−0.675635 + 0.737236i \(0.736130\pi\)
\(318\) −14.5487 + 27.4350i −0.815850 + 1.53848i
\(319\) 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
\(324\) −16.6968 6.72438i −0.927599 0.373577i
\(325\) −2.22669 + 3.85674i −0.123514 + 0.213933i
\(326\) −10.6545 10.6194i −0.590097 0.588155i
\(327\) −3.22601 + 3.45569i −0.178399 + 0.191100i
\(328\) −4.04071 4.00095i −0.223111 0.220916i
\(329\) 3.63618 + 5.19528i 0.200469 + 0.286425i
\(330\) 0.158151 + 4.39019i 0.00870592 + 0.241672i
\(331\) 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
\(333\) 11.1429 0.766958i 0.610628 0.0420290i
\(334\) −2.92057 10.8283i −0.159807 0.592500i
\(335\) 14.2476 0.778428
\(336\) 14.5101 + 11.2007i 0.791592 + 0.611050i
\(337\) −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
\(339\) −0.896293 0.207441i −0.0486799 0.0112667i
\(340\) 11.9789 + 20.5910i 0.649646 + 1.11671i
\(341\) −2.88028 + 1.66293i −0.155976 + 0.0900527i
\(342\) 14.9152 5.14497i 0.806519 0.278208i
\(343\) 17.8922 4.78234i 0.966086 0.258222i
\(344\) −18.3019 + 18.4837i −0.986771 + 0.996575i
\(345\) −17.9185 16.7276i −0.964702 0.900585i
\(346\) −4.27806 4.26399i −0.229990 0.229233i
\(347\) 9.94032 17.2171i 0.533624 0.924265i −0.465604 0.884993i \(-0.654163\pi\)
0.999229 0.0392715i \(-0.0125037\pi\)
\(348\) 0.764800 + 2.47717i 0.0409976 + 0.132790i
\(349\) 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 −0.998474 0.0552182i \(-0.982415\pi\)
0.547057 + 0.837095i \(0.315748\pi\)
\(354\) −18.3643 9.73856i −0.976054 0.517599i
\(355\) 4.89051 + 8.47062i 0.259561 + 0.449574i
\(356\) 25.6655 + 14.7054i 1.36027 + 0.779385i
\(357\) −24.0332 18.8059i −1.27197 0.995316i
\(358\) −10.3269 2.74886i −0.545794 0.145282i
\(359\) 18.2162 10.5171i 0.961413 0.555072i 0.0648056 0.997898i \(-0.479357\pi\)
0.896608 + 0.442826i \(0.146024\pi\)
\(360\) −11.4925 9.91287i −0.605710 0.522454i
\(361\) 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
\(366\) 5.26478 + 8.40480i 0.275195 + 0.439326i
\(367\) 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
\(369\) −5.41802 2.64988i −0.282051 0.137947i
\(370\) 9.10071 + 2.42246i 0.473124 + 0.125938i
\(371\) 14.1817 30.3964i 0.736278 1.57810i
\(372\) 2.55394 11.2027i 0.132415 0.580835i
\(373\) 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
\(375\) 20.5263 + 4.75068i 1.05997 + 0.245324i
\(376\) 1.72219 6.55679i 0.0888154 0.338141i
\(377\) −1.85081 −0.0953217
\(378\) 18.3817 + 6.33339i 0.945454 + 0.325754i
\(379\) 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
\(381\) 1.76681 7.63389i 0.0905167 0.391096i
\(382\) 12.1317 + 12.0918i 0.620711 + 0.618669i
\(383\) −4.81069 8.33236i −0.245815 0.425763i 0.716546 0.697540i \(-0.245722\pi\)
−0.962360 + 0.271777i \(0.912389\pi\)
\(384\) −0.899025 19.5753i −0.0458782 0.998947i
\(385\) −0.412582 4.72705i −0.0210271 0.240913i
\(386\) 1.61928 + 0.431026i 0.0824192 + 0.0219387i
\(387\) −12.1215 + 24.7841i −0.616172 + 1.25984i
\(388\) 1.76578 + 3.03528i 0.0896439 + 0.154093i
\(389\) −14.0629 + 24.3576i −0.713017 + 1.23498i 0.250703 + 0.968064i \(0.419338\pi\)
−0.963719 + 0.266917i \(0.913995\pi\)
\(390\) 9.18217 5.75173i 0.464957 0.291250i
\(391\) 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
\(396\) −2.62539 + 5.41308i −0.131931 + 0.272018i
\(397\) −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
\(399\) −15.8056 + 6.37206i −0.791271 + 0.319002i
\(400\) 3.64261 + 6.21424i 0.182131 + 0.310712i
\(401\) −5.22718 + 3.01791i −0.261033 + 0.150707i −0.624806 0.780780i \(-0.714822\pi\)
0.363773 + 0.931488i \(0.381488\pi\)
\(402\) 17.2379 + 9.14120i 0.859748 + 0.455922i
\(403\) 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
\(408\) 1.28189 + 32.5984i 0.0634630 + 1.61386i
\(409\) 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
\(411\) −13.2548 + 14.1985i −0.653812 + 0.700360i
\(412\) 9.80544 17.1135i 0.483080 0.843123i
\(413\) 20.3467 + 9.49292i 1.00120 + 0.467116i
\(414\) −10.9469 31.7349i −0.538012 1.55969i
\(415\) −5.05698 8.75894i −0.248237 0.429959i
\(416\) 13.5422 + 3.50930i 0.663960 + 0.172058i
\(417\) −7.02301 + 30.3444i −0.343918 + 1.48597i
\(418\) −1.37324 5.09142i −0.0671672 0.249029i
\(419\) 2.51866i 0.123045i −0.998106 0.0615223i \(-0.980404\pi\)
0.998106 0.0615223i \(-0.0195955\pi\)
\(420\) 12.9436 + 10.0597i 0.631581 + 0.490864i
\(421\) 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
\(423\) −0.493742 7.17345i −0.0240066 0.348785i
\(424\) −34.5898 + 9.45180i −1.67983 + 0.459020i
\(425\) −5.99595 10.3853i −0.290846 0.503761i
\(426\) 0.482220 + 13.3862i 0.0233636 + 0.648563i
\(427\) −6.14247 8.77620i −0.297255 0.424710i
\(428\) −12.0818 6.92243i −0.583995 0.334608i
\(429\) −3.13951 2.93085i −0.151577 0.141503i
\(430\) −16.4221 + 16.4763i −0.791942 + 0.794556i
\(431\) −12.0003 6.92836i −0.578033 0.333727i 0.182319 0.983240i \(-0.441640\pi\)
−0.760351 + 0.649512i \(0.774973\pi\)
\(432\) −7.54454 19.3670i −0.362987 0.931794i
\(433\) 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
\(438\) 14.2069 + 7.53388i 0.678832 + 0.359983i
\(439\) 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
\(441\) −20.1778 5.81875i −0.960846 0.277083i
\(442\) −22.5062 5.99079i −1.07051 0.284953i
\(443\) −8.84884 15.3266i −0.420421 0.728191i 0.575559 0.817760i \(-0.304784\pi\)
−0.995981 + 0.0895692i \(0.971451\pi\)
\(444\) 9.45654 + 8.76989i 0.448788 + 0.416201i
\(445\) 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 \(-0.848099\pi\)
0.888279 0.459305i \(-0.151901\pi\)
\(450\) 5.76884 + 5.00915i 0.271946 + 0.236134i
\(451\) −1.00793 + 1.74578i −0.0474614 + 0.0822056i
\(452\) −0.534182 0.918230i −0.0251258 0.0431899i
\(453\) 24.2260 + 22.6159i 1.13824 + 1.06259i
\(454\) 5.73500 21.5453i 0.269157 1.01117i
\(455\) −9.58793 + 6.71059i −0.449489 + 0.314597i
\(456\) 16.1233 + 8.48221i 0.755045 + 0.397216i
\(457\) 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
\(459\) 12.3475 + 32.3245i 0.576331 + 1.50878i
\(460\) −0.0932765 28.3050i −0.00434904 1.31973i
\(461\) 0.857290i 0.0399280i 0.999801 + 0.0199640i \(0.00635516\pi\)
−0.999801 + 0.0199640i \(0.993645\pi\)
\(462\) 2.53369 5.98389i 0.117878 0.278396i
\(463\) 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
\(465\) 2.31703 10.0112i 0.107450 0.464259i
\(466\) −18.1678 18.1080i −0.841606 0.838837i
\(467\) −8.69155 + 5.01807i −0.402197 + 0.232208i −0.687431 0.726249i \(-0.741262\pi\)
0.285235 + 0.958458i \(0.407928\pi\)
\(468\) 14.7996 1.06766i 0.684113 0.0493526i
\(469\) −19.0986 8.91063i −0.881893 0.411455i
\(470\) 1.55950 5.85874i 0.0719345 0.270244i
\(471\) −13.8479 12.9275i −0.638076 0.595668i
\(472\) −6.32682 23.1536i −0.291216 1.06573i
\(473\) 7.98586 + 4.61064i 0.367190 + 0.211997i
\(474\) −6.60531 10.5448i −0.303392 0.484341i
\(475\) −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 \(0.335292\pi\)
−0.999981 + 0.00615194i \(0.998042\pi\)
\(480\) −0.746318 17.5091i −0.0340646 0.799176i
\(481\) −7.97373 + 4.60364i −0.363571 + 0.209908i
\(482\) 7.81397 29.3555i 0.355917 1.33711i
\(483\) 13.5578 + 33.6296i 0.616902 + 1.53020i
\(484\) −17.3440 9.93751i −0.788364 0.451705i
\(485\) 1.57021 + 2.71969i 0.0712997 + 0.123495i
\(486\) −14.1522 16.9031i −0.641957 0.766740i
\(487\) 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 \(-0.691728\pi\)
−0.566565 + 0.824017i \(0.691728\pi\)
\(492\) −2.05449 6.65443i −0.0926234 0.300005i
\(493\) 2.49190 4.31610i 0.112230 0.194387i
\(494\) −9.18152 + 9.21183i −0.413096 + 0.414460i
\(495\) −2.36387 + 4.83325i −0.106248 + 0.217238i
\(496\) 11.4462 6.70944i 0.513950 0.301263i
\(497\) −1.25801 14.4133i −0.0564295 0.646526i
\(498\) −0.498633 13.8418i −0.0223443 0.620267i
\(499\) 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
\(501\) 3.09721 13.3821i 0.138373 0.597869i
\(502\) −27.1108 + 7.31222i −1.21001 + 0.326360i
\(503\) −13.3046 −0.593223 −0.296612 0.954998i \(-0.595857\pi\)
−0.296612 + 0.954998i \(0.595857\pi\)
\(504\) 9.20590 + 20.4756i 0.410064 + 0.912057i
\(505\) 26.1892 1.16540
\(506\) −10.8330 + 2.92183i −0.481586 + 0.129891i
\(507\) 2.68861 11.6167i 0.119405 0.515916i
\(508\) 7.82073 4.54973i 0.346989 0.201862i
\(509\) −20.2595 + 11.6968i −0.897985 + 0.518452i −0.876546 0.481318i \(-0.840158\pi\)
−0.0214392 + 0.999770i \(0.506825\pi\)
\(510\) 1.05034 + 29.1569i 0.0465097 + 1.29109i
\(511\) −15.7405 7.34385i −0.696318 0.324873i
\(512\) 15.7610 16.2355i 0.696544 0.717515i
\(513\) 19.0806 + 3.05413i 0.842431 + 0.134843i
\(514\) 8.71791 8.74669i 0.384531 0.385800i
\(515\) 8.81956 15.2759i 0.388636 0.673138i
\(516\) −30.4399 + 9.39799i −1.34004 + 0.413723i
\(517\) −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 −0.849460 0.527654i \(-0.823072\pi\)
0.881691 + 0.471827i \(0.156405\pi\)
\(522\) −0.604127 + 3.11720i −0.0264419 + 0.136436i
\(523\) 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
\(525\) −6.49904 5.08548i −0.283641 0.221949i
\(526\) 7.20089 27.0523i 0.313974 1.17954i
\(527\) −19.1290 + 11.0441i −0.833272 + 0.481090i
\(528\) −6.63092 + 2.07118i −0.288574 + 0.0901367i
\(529\) 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
\(534\) 19.2316 + 30.7017i 0.832233 + 1.32859i
\(535\) −10.7845 6.22642i −0.466254 0.269192i
\(536\) 5.93874 + 21.7334i 0.256514 + 0.938739i
\(537\) −9.56725 8.93138i −0.412857 0.385417i
\(538\) −0.338381 + 1.27123i −0.0145887 + 0.0548067i
\(539\) −2.40331 + 6.59457i −0.103518 + 0.284048i
\(540\) −6.69010 17.3424i −0.287896 0.746296i
\(541\) −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
\(543\) −1.95367 + 8.44125i −0.0838402 + 0.362249i
\(544\) −26.4167 + 26.8556i −1.13261 + 1.15142i
\(545\) −4.88190 −0.209118
\(546\) −15.9058 + 1.96744i −0.680704 + 0.0841987i
\(547\) 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
\(549\) 0.834061 + 12.1178i 0.0355969 + 0.517177i
\(550\) 1.80266 1.80861i 0.0768657 0.0771194i
\(551\) −1.39159 2.41030i −0.0592836 0.102682i
\(552\) 18.0476 34.3056i 0.768156 1.46014i
\(553\) 7.70648 + 11.0108i 0.327713 + 0.468228i
\(554\) 10.7358 40.3321i 0.456119 1.71355i
\(555\) 8.43126 + 7.87089i 0.357887 + 0.334101i
\(556\) −31.0871 + 18.0850i −1.31839 + 0.766974i
\(557\) 10.7167 18.5619i 0.454081 0.786492i −0.544554 0.838726i \(-0.683301\pi\)
0.998635 + 0.0522341i \(0.0166342\pi\)
\(558\) 9.22651 10.6258i 0.390589 0.449826i
\(559\) 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 0.827932 0.560829i \(-0.189517\pi\)
−0.0717262 + 0.997424i \(0.522851\pi\)
\(564\) 5.64577 6.08781i 0.237730 0.256343i
\(565\) −0.475020 0.822758i −0.0199842 0.0346137i
\(566\) 28.4933 + 7.58447i 1.19766 + 0.318799i
\(567\) 16.1979 + 17.4536i 0.680248 + 0.732982i
\(568\) −10.8827 + 10.9908i −0.456627 + 0.461164i
\(569\) 23.8691 13.7808i 1.00064 0.577722i 0.0922056 0.995740i \(-0.470608\pi\)
0.908439 + 0.418018i \(0.137275\pi\)
\(570\) 14.3943 + 7.63326i 0.602911 + 0.319722i
\(571\) −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
\(576\) 10.3308 21.6627i 0.430450 0.902614i
\(577\) −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
\(579\) 1.50016 + 1.40046i 0.0623447 + 0.0582011i
\(580\) −1.33097 + 2.32296i −0.0552656 + 0.0964555i
\(581\) 1.30083 + 14.9039i 0.0539675 + 0.618319i
\(582\) 0.154828 + 4.29795i 0.00641782 + 0.178156i
\(583\) 6.35591 + 11.0088i 0.263235 + 0.455936i
\(584\) 4.89452 + 17.9119i 0.202536 + 0.741202i
\(585\) 13.2386 0.911205i 0.547350 0.0376737i
\(586\) 17.8950 4.82656i 0.739235 0.199384i
\(587\) 3.51421i 0.145047i −0.997367 0.0725236i \(-0.976895\pi\)
0.997367 0.0725236i \(-0.0231052\pi\)
\(588\) −11.0592 21.5800i −0.456072 0.889943i
\(589\) 12.3350i 0.508256i
\(590\) −5.58992 20.7252i −0.230133 0.853243i
\(591\) −7.62003 + 32.9239i −0.313446 + 1.35431i
\(592\) 0.0981518 + 14.8921i 0.00403401 + 0.612060i
\(593\) 17.8824 + 30.9732i 0.734342 + 1.27192i 0.955012 + 0.296568i \(0.0958423\pi\)
−0.220670 + 0.975349i \(0.570824\pi\)
\(594\) −5.96101 + 4.33101i −0.244583 + 0.177703i
\(595\) −2.74011 31.3941i −0.112334 1.28703i
\(596\) −1.60517 0.919706i −0.0657504 0.0376726i
\(597\) 17.4192 18.6593i 0.712919 0.763676i
\(598\) 19.6000 + 19.5355i 0.801503 + 0.798866i
\(599\) 35.4819 + 20.4855i 1.44975 + 0.837014i 0.998466 0.0553669i \(-0.0176328\pi\)
0.451284 + 0.892380i \(0.350966\pi\)
\(600\) 0.346647 + 8.81521i 0.0141518 + 0.359879i
\(601\) 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
\(606\) 31.6858 + 16.8029i 1.28715 + 0.682571i
\(607\) 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
\(609\) 0.479865 3.39588i 0.0194451 0.137608i
\(610\) −2.63441 + 9.89696i −0.106664 + 0.400716i
\(611\) 2.96367 + 5.13323i 0.119897 + 0.207668i
\(612\) −17.4362 + 35.9503i −0.704816 + 1.45320i
\(613\) −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 \(-0.850413\pi\)
0.891595 0.452834i \(-0.149587\pi\)
\(618\) 20.4716 12.8235i 0.823490 0.515836i
\(619\) −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
\(621\) 6.49827 40.5978i 0.260767 1.62914i
\(622\) 27.1384 + 7.22380i 1.08815 + 0.289648i
\(623\) −22.4377 32.0584i −0.898947 1.28439i
\(624\) 12.6011 + 11.6091i 0.504447 + 0.464736i
\(625\) 6.37661 + 11.0446i 0.255064 + 0.441785i
\(626\) 2.69613 + 2.68726i 0.107759 + 0.107404i
\(627\) 1.45629 6.29220i 0.0581585 0.251286i
\(628\) −0.0720863 21.8748i −0.00287656 0.872899i
\(629\) 24.7930i 0.988563i
\(630\) 8.17261 + 18.3387i 0.325604 + 0.730633i
\(631\) 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
\(633\) −25.1834 5.82853i −1.00095 0.231663i
\(634\) −10.6881 + 10.7234i −0.424479 + 0.425880i
\(635\) 7.00758 4.04583i 0.278087 0.160554i
\(636\) −42.8182 9.76145i −1.69785 0.387066i
\(637\) 17.0494 2.99902i 0.675520 0.118825i
\(638\) 1.02554 + 0.272983i 0.0406016 + 0.0108075i
\(639\) −7.20771 + 14.7371i −0.285133 + 0.582992i
\(640\) 14.1431 14.4732i 0.559055 0.572102i
\(641\) 0.0793494 + 0.0458124i 0.00313411 + 0.00180948i 0.501566 0.865119i \(-0.332757\pi\)
−0.498432 + 0.866929i \(0.666091\pi\)
\(642\) −9.05309 14.4525i −0.357297 0.570396i
\(643\) 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 −0.934716 0.355395i \(-0.884346\pi\)
0.775139 + 0.631791i \(0.217680\pi\)
\(648\) 3.03258 25.2746i 0.119131 0.992879i
\(649\) −7.36901 + 4.25450i −0.289259 + 0.167004i
\(650\) −6.08611 1.62002i −0.238717 0.0635426i
\(651\) −9.36710 + 11.9708i −0.367126 + 0.469172i
\(652\) 10.5762 18.4587i 0.414196 0.722899i
\(653\) −16.7312 28.9792i −0.654741 1.13404i −0.981959 0.189095i \(-0.939444\pi\)
0.327218 0.944949i \(-0.393889\pi\)
\(654\) −5.90653 3.13222i −0.230964 0.122479i
\(655\) −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 \(-0.402089\pi\)
0.302770 + 0.953064i \(0.402089\pi\)
\(660\) −5.93621 + 1.83274i −0.231067 + 0.0713394i
\(661\) 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
\(663\) −20.8506 19.4648i −0.809772 0.755952i
\(664\) 11.2531 11.3649i 0.436705 0.441044i
\(665\) −15.9481 7.44072i −0.618441 0.288539i
\(666\) 5.15089 + 14.9323i 0.199593 + 0.578616i
\(667\) −5.12838 + 2.96087i −0.198572 + 0.114646i
\(668\) 13.7096 7.97562i 0.530442 0.308586i
\(669\) 12.8615 + 2.97671i 0.497254 + 0.115086i
\(670\) 5.24703 + 19.4539i 0.202711 + 0.751571i
\(671\) 4.05974 0.156725
\(672\) −9.94999 + 23.9374i −0.383829 + 0.923404i
\(673\) 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
\(675\) 3.33899 + 8.74115i 0.128518 + 0.336447i
\(676\) 11.9010 6.92345i 0.457731 0.266286i
\(677\) −32.5497 + 18.7926i −1.25099 + 0.722257i −0.971305 0.237836i \(-0.923562\pi\)
−0.279680 + 0.960093i \(0.590228\pi\)
\(678\) −0.0468384 1.30021i −0.00179882 0.0499343i
\(679\) −0.403913 4.62773i −0.0155008 0.177596i
\(680\) −23.7039 + 23.9394i −0.909003 + 0.918034i
\(681\) 18.6337 19.9604i 0.714046 0.764883i
\(682\) −3.33134 3.32038i −0.127563 0.127144i
\(683\) −1.02051 + 1.76757i −0.0390487 + 0.0676343i −0.884889 0.465802i \(-0.845766\pi\)
0.845841 + 0.533436i \(0.179099\pi\)
\(684\) 12.5179 + 18.4707i 0.478635 + 0.706244i
\(685\) −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
\(690\) 16.2413 30.6267i 0.618295 1.16594i
\(691\) −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
\(693\) 6.19151 5.00049i 0.235196 0.189953i
\(694\) 27.1694 + 7.23206i 1.03134 + 0.274525i
\(695\) −27.8548 + 16.0820i −1.05659 + 0.610025i
\(696\) −3.10072 + 1.95655i −0.117532 + 0.0741630i
\(697\) −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 \(-0.405692\pi\)
0.291963 + 0.956430i \(0.405692\pi\)
\(702\) 16.6018 + 7.39143i 0.626595 + 0.278971i
\(703\) −11.9906 6.92275i −0.452232 0.261096i
\(704\) −6.98617 3.94190i −0.263301 0.148566i
\(705\) 5.06702 5.42777i 0.190835 0.204421i
\(706\) −23.1817 6.17059i −0.872454 0.232233i
\(707\) −35.1062 16.3791i −1.32030 0.615999i
\(708\) 6.53409 28.6615i 0.245566 1.07717i
\(709\) 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
\(711\) −1.04643 15.2033i −0.0392443 0.570169i
\(712\) −10.6271 + 40.4598i −0.398267 + 1.51630i
\(713\) 26.2452 0.982891
\(714\) 16.8272 39.7412i 0.629741 1.48728i
\(715\) 4.43523i 0.165868i
\(716\) −0.0498031 15.1129i −0.00186123 0.564796i
\(717\) −9.12976 2.11302i −0.340957 0.0789123i
\(718\) 21.0689 + 20.9995i 0.786283 + 0.783696i
\(719\) 6.49021 + 11.2414i 0.242044 + 0.419232i 0.961296 0.275517i \(-0.0888489\pi\)
−0.719252 + 0.694749i \(0.755516\pi\)
\(720\) 9.30281 19.3428i 0.346695 0.720864i
\(721\) −21.3763 + 14.9613i −0.796094 + 0.557186i
\(722\) 7.06603 + 1.88086i 0.262970 + 0.0699985i
\(723\) 25.3886 27.1961i 0.944211 1.01143i
\(724\) −8.64786 + 5.03091i −0.321395 + 0.186972i
\(725\) 0.673858 1.16716i 0.0250264 0.0433471i
\(726\) −12.9962 20.7473i −0.482333 0.770006i
\(727\) 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
\(732\) −9.53719 + 10.2839i −0.352505 + 0.380105i
\(733\) −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
\(735\) −9.82673 19.3318i −0.362465 0.713065i
\(736\) 43.1379 11.9405i 1.59008 0.440133i
\(737\) 6.91700 3.99353i 0.254791 0.147104i
\(738\) 1.62287 8.37376i 0.0597386 0.308242i
\(739\) 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 \(0.0790872\pi\)
−0.969292 + 0.245911i \(0.920913\pi\)
\(744\) 16.2370 0.638500i 0.595278 0.0234085i
\(745\) −1.43281 0.827235i −0.0524942 0.0303075i
\(746\) 21.7860 + 21.7143i 0.797642 + 0.795018i
\(747\) 7.45305 15.2387i 0.272693 0.557556i
\(748\) 11.5872 + 6.63904i 0.423669 + 0.242747i
\(749\) 10.5623 + 15.0912i 0.385939 + 0.551420i
\(750\) 1.07266 + 29.7766i 0.0391681 + 1.08729i
\(751\) −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
\(753\) −33.5047 7.75445i −1.22098 0.282588i
\(754\) −0.681609 2.52714i −0.0248228 0.0920329i
\(755\) 34.2244i 1.24555i
\(756\) −1.87819 + 27.4312i −0.0683091 + 0.997664i
\(757\) 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
\(759\) −13.3879 3.09854i −0.485950 0.112470i
\(760\) 4.95908 + 18.1482i 0.179885 + 0.658305i
\(761\) 21.7170 + 37.6149i 0.787240 + 1.36354i 0.927652 + 0.373447i \(0.121824\pi\)
−0.140411 + 0.990093i \(0.544842\pi\)
\(762\) 11.0741 0.398931i 0.401174 0.0144518i
\(763\) 6.54411 + 3.05321i 0.236913 + 0.110534i
\(764\) −12.0426 + 21.0180i −0.435684 + 0.760403i
\(765\) −15.6993 + 32.0994i −0.567611 + 1.16056i
\(766\) 9.60551 9.63722i 0.347061 0.348207i
\(767\) 18.1747 + 10.4932i 0.656252 + 0.378887i
\(768\) 26.3974 8.43665i 0.952534 0.304431i
\(769\) 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