Properties

Label 546.2.bn.e.173.14
Level $546$
Weight $2$
Character 546.173
Analytic conductor $4.360$
Analytic rank $0$
Dimension $34$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bn (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(34\)
Relative dimension: \(17\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 173.14
Character \(\chi\) \(=\) 546.173
Dual form 546.2.bn.e.101.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 - 0.866025i) q^{2} +(1.57643 + 0.717543i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(1.41302 + 0.815806i) q^{5} +(-0.166804 - 1.72400i) q^{6} +(1.06124 - 2.42359i) q^{7} +1.00000 q^{8} +(1.97026 + 2.26231i) q^{9} +O(q^{10})\) \(q+(-0.500000 - 0.866025i) q^{2} +(1.57643 + 0.717543i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(1.41302 + 0.815806i) q^{5} +(-0.166804 - 1.72400i) q^{6} +(1.06124 - 2.42359i) q^{7} +1.00000 q^{8} +(1.97026 + 2.26231i) q^{9} -1.63161i q^{10} -2.07077 q^{11} +(-1.40963 + 1.00646i) q^{12} +(3.37445 + 1.27006i) q^{13} +(-2.62951 + 0.292738i) q^{14} +(1.64215 + 2.29996i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(1.52723 - 2.64525i) q^{17} +(0.974089 - 2.83745i) q^{18} +1.32484 q^{19} +(-1.41302 + 0.815806i) q^{20} +(3.41199 - 3.05914i) q^{21} +(1.03538 + 1.79334i) q^{22} +(-5.29037 + 3.05440i) q^{23} +(1.57643 + 0.717543i) q^{24} +(-1.16892 - 2.02463i) q^{25} +(-0.587322 - 3.55739i) q^{26} +(1.48267 + 4.98013i) q^{27} +(1.56827 + 2.13085i) q^{28} +(-2.79123 - 1.61152i) q^{29} +(1.17075 - 2.57212i) q^{30} +(3.28416 + 5.68833i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(-3.26442 - 1.48586i) q^{33} -3.05447 q^{34} +(3.47672 - 2.55881i) q^{35} +(-2.94435 + 0.575141i) q^{36} +(6.87437 - 3.96892i) q^{37} +(-0.662420 - 1.14734i) q^{38} +(4.40827 + 4.42348i) q^{39} +(1.41302 + 0.815806i) q^{40} +(7.41619 + 4.28174i) q^{41} +(-4.35528 - 1.42530i) q^{42} +(2.69662 + 4.67069i) q^{43} +(1.03538 - 1.79334i) q^{44} +(0.938408 + 4.80404i) q^{45} +(5.29037 + 3.05440i) q^{46} +(0.714173 + 0.412328i) q^{47} +(-0.166804 - 1.72400i) q^{48} +(-4.74756 - 5.14399i) q^{49} +(-1.16892 + 2.02463i) q^{50} +(4.30566 - 3.07419i) q^{51} +(-2.78713 + 2.28733i) q^{52} +(-9.25742 + 5.34477i) q^{53} +(3.57158 - 3.77410i) q^{54} +(-2.92603 - 1.68934i) q^{55} +(1.06124 - 2.42359i) q^{56} +(2.08852 + 0.950630i) q^{57} +3.22304i q^{58} +(-11.7755 - 6.79857i) q^{59} +(-2.81290 + 0.272160i) q^{60} -15.5525i q^{61} +(3.28416 - 5.68833i) q^{62} +(7.57383 - 2.37426i) q^{63} +1.00000 q^{64} +(3.73204 + 4.54752i) q^{65} +(0.345413 + 3.57000i) q^{66} -3.27341i q^{67} +(1.52723 + 2.64525i) q^{68} +(-10.5316 + 1.01897i) q^{69} +(-3.95436 - 1.73152i) q^{70} +(-4.59225 - 7.95402i) q^{71} +(1.97026 + 2.26231i) q^{72} +(-1.43611 - 2.48741i) q^{73} +(-6.87437 - 3.96892i) q^{74} +(-0.389962 - 4.03044i) q^{75} +(-0.662420 + 1.14734i) q^{76} +(-2.19757 + 5.01869i) q^{77} +(1.62671 - 6.02941i) q^{78} +(-3.24657 + 5.62322i) q^{79} -1.63161i q^{80} +(-1.23612 + 8.91471i) q^{81} -8.56348i q^{82} +6.85946i q^{83} +(0.943293 + 4.48444i) q^{84} +(4.31602 - 2.49186i) q^{85} +(2.69662 - 4.67069i) q^{86} +(-3.24385 - 4.54327i) q^{87} -2.07077 q^{88} +(0.929234 - 0.536494i) q^{89} +(3.69122 - 3.21471i) q^{90} +(6.65920 - 6.83045i) q^{91} -6.10879i q^{92} +(1.09562 + 11.3238i) q^{93} -0.824656i q^{94} +(1.87202 + 1.08081i) q^{95} +(-1.40963 + 1.00646i) q^{96} +(4.58560 + 7.94250i) q^{97} +(-2.08105 + 6.68350i) q^{98} +(-4.07996 - 4.68472i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q - 17q^{2} + 3q^{3} - 17q^{4} + 9q^{5} - 6q^{6} + 5q^{7} + 34q^{8} + 7q^{9} + O(q^{10}) \) \( 34q - 17q^{2} + 3q^{3} - 17q^{4} + 9q^{5} - 6q^{6} + 5q^{7} + 34q^{8} + 7q^{9} - 18q^{11} + 3q^{12} - 8q^{13} - 4q^{14} - 17q^{15} - 17q^{16} + 6q^{17} - 11q^{18} - 10q^{19} - 9q^{20} - 4q^{21} + 9q^{22} + 6q^{23} + 3q^{24} + 16q^{25} + 13q^{26} + 18q^{27} - q^{28} + 27q^{29} + 13q^{30} + q^{31} - 17q^{32} + 21q^{33} - 12q^{34} - 3q^{35} + 4q^{36} + 6q^{37} + 5q^{38} + 20q^{39} + 9q^{40} + 3q^{41} + 20q^{42} - 3q^{43} + 9q^{44} - 6q^{46} - 27q^{47} - 6q^{48} - 5q^{49} + 16q^{50} + 24q^{51} - 5q^{52} + 21q^{53} - 18q^{54} + 57q^{55} + 5q^{56} - 17q^{57} - 6q^{59} + 4q^{60} + q^{62} - 21q^{63} + 34q^{64} + 33q^{65} - 21q^{66} + 6q^{68} - 30q^{69} + 3q^{70} - 15q^{71} + 7q^{72} + 19q^{73} - 6q^{74} - 63q^{75} + 5q^{76} - 9q^{77} - 10q^{78} - 9q^{79} - 5q^{81} - 16q^{84} - 42q^{85} - 3q^{86} - 75q^{87} - 18q^{88} - 18q^{89} - 9q^{90} - 27q^{91} + 25q^{93} - 3q^{95} + 3q^{96} - 19q^{97} + 7q^{98} - 27q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 0.866025i −0.353553 0.612372i
\(3\) 1.57643 + 0.717543i 0.910152 + 0.414274i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) 1.41302 + 0.815806i 0.631921 + 0.364840i 0.781496 0.623911i \(-0.214457\pi\)
−0.149575 + 0.988750i \(0.547790\pi\)
\(6\) −0.166804 1.72400i −0.0680976 0.703820i
\(7\) 1.06124 2.42359i 0.401109 0.916030i
\(8\) 1.00000 0.353553
\(9\) 1.97026 + 2.26231i 0.656754 + 0.754104i
\(10\) 1.63161i 0.515961i
\(11\) −2.07077 −0.624360 −0.312180 0.950023i \(-0.601059\pi\)
−0.312180 + 0.950023i \(0.601059\pi\)
\(12\) −1.40963 + 1.00646i −0.406924 + 0.290539i
\(13\) 3.37445 + 1.27006i 0.935905 + 0.352252i
\(14\) −2.62951 + 0.292738i −0.702765 + 0.0782374i
\(15\) 1.64215 + 2.29996i 0.424001 + 0.593848i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 1.52723 2.64525i 0.370409 0.641567i −0.619220 0.785218i \(-0.712551\pi\)
0.989628 + 0.143651i \(0.0458843\pi\)
\(18\) 0.974089 2.83745i 0.229595 0.668795i
\(19\) 1.32484 0.303939 0.151970 0.988385i \(-0.451438\pi\)
0.151970 + 0.988385i \(0.451438\pi\)
\(20\) −1.41302 + 0.815806i −0.315960 + 0.182420i
\(21\) 3.41199 3.05914i 0.744558 0.667558i
\(22\) 1.03538 + 1.79334i 0.220744 + 0.382341i
\(23\) −5.29037 + 3.05440i −1.10312 + 0.636886i −0.937038 0.349226i \(-0.886444\pi\)
−0.166080 + 0.986112i \(0.553111\pi\)
\(24\) 1.57643 + 0.717543i 0.321787 + 0.146468i
\(25\) −1.16892 2.02463i −0.233784 0.404926i
\(26\) −0.587322 3.55739i −0.115183 0.697662i
\(27\) 1.48267 + 4.98013i 0.285341 + 0.958426i
\(28\) 1.56827 + 2.13085i 0.296375 + 0.402693i
\(29\) −2.79123 1.61152i −0.518319 0.299251i 0.217928 0.975965i \(-0.430070\pi\)
−0.736246 + 0.676714i \(0.763404\pi\)
\(30\) 1.17075 2.57212i 0.213749 0.469603i
\(31\) 3.28416 + 5.68833i 0.589852 + 1.02165i 0.994251 + 0.107071i \(0.0341473\pi\)
−0.404399 + 0.914583i \(0.632519\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) −3.26442 1.48586i −0.568262 0.258656i
\(34\) −3.05447 −0.523837
\(35\) 3.47672 2.55881i 0.587673 0.432518i
\(36\) −2.94435 + 0.575141i −0.490725 + 0.0958569i
\(37\) 6.87437 3.96892i 1.13014 0.652486i 0.186169 0.982518i \(-0.440393\pi\)
0.943970 + 0.330032i \(0.107059\pi\)
\(38\) −0.662420 1.14734i −0.107459 0.186124i
\(39\) 4.40827 + 4.42348i 0.705888 + 0.708324i
\(40\) 1.41302 + 0.815806i 0.223418 + 0.128990i
\(41\) 7.41619 + 4.28174i 1.15821 + 0.668695i 0.950875 0.309574i \(-0.100186\pi\)
0.207339 + 0.978269i \(0.433520\pi\)
\(42\) −4.35528 1.42530i −0.672035 0.219929i
\(43\) 2.69662 + 4.67069i 0.411231 + 0.712273i 0.995025 0.0996291i \(-0.0317656\pi\)
−0.583794 + 0.811902i \(0.698432\pi\)
\(44\) 1.03538 1.79334i 0.156090 0.270356i
\(45\) 0.938408 + 4.80404i 0.139890 + 0.716145i
\(46\) 5.29037 + 3.05440i 0.780023 + 0.450346i
\(47\) 0.714173 + 0.412328i 0.104173 + 0.0601442i 0.551181 0.834386i \(-0.314177\pi\)
−0.447008 + 0.894530i \(0.647511\pi\)
\(48\) −0.166804 1.72400i −0.0240761 0.248838i
\(49\) −4.74756 5.14399i −0.678223 0.734856i
\(50\) −1.16892 + 2.02463i −0.165310 + 0.286326i
\(51\) 4.30566 3.07419i 0.602913 0.430473i
\(52\) −2.78713 + 2.28733i −0.386506 + 0.317196i
\(53\) −9.25742 + 5.34477i −1.27160 + 0.734161i −0.975290 0.220930i \(-0.929091\pi\)
−0.296314 + 0.955091i \(0.595758\pi\)
\(54\) 3.57158 3.77410i 0.486030 0.513590i
\(55\) −2.92603 1.68934i −0.394546 0.227791i
\(56\) 1.06124 2.42359i 0.141814 0.323866i
\(57\) 2.08852 + 0.950630i 0.276631 + 0.125914i
\(58\) 3.22304i 0.423205i
\(59\) −11.7755 6.79857i −1.53303 0.885098i −0.999220 0.0394965i \(-0.987425\pi\)
−0.533815 0.845601i \(-0.679242\pi\)
\(60\) −2.81290 + 0.272160i −0.363144 + 0.0351357i
\(61\) 15.5525i 1.99129i −0.0932030 0.995647i \(-0.529711\pi\)
0.0932030 0.995647i \(-0.470289\pi\)
\(62\) 3.28416 5.68833i 0.417088 0.722418i
\(63\) 7.57383 2.37426i 0.954213 0.299129i
\(64\) 1.00000 0.125000
\(65\) 3.73204 + 4.54752i 0.462903 + 0.564051i
\(66\) 0.345413 + 3.57000i 0.0425174 + 0.439437i
\(67\) 3.27341i 0.399910i −0.979805 0.199955i \(-0.935920\pi\)
0.979805 0.199955i \(-0.0640797\pi\)
\(68\) 1.52723 + 2.64525i 0.185204 + 0.320783i
\(69\) −10.5316 + 1.01897i −1.26785 + 0.122670i
\(70\) −3.95436 1.73152i −0.472636 0.206957i
\(71\) −4.59225 7.95402i −0.545000 0.943968i −0.998607 0.0527663i \(-0.983196\pi\)
0.453607 0.891202i \(-0.350137\pi\)
\(72\) 1.97026 + 2.26231i 0.232198 + 0.266616i
\(73\) −1.43611 2.48741i −0.168084 0.291129i 0.769662 0.638451i \(-0.220425\pi\)
−0.937746 + 0.347322i \(0.887091\pi\)
\(74\) −6.87437 3.96892i −0.799129 0.461377i
\(75\) −0.389962 4.03044i −0.0450289 0.465395i
\(76\) −0.662420 + 1.14734i −0.0759848 + 0.131609i
\(77\) −2.19757 + 5.01869i −0.250436 + 0.571932i
\(78\) 1.62671 6.02941i 0.184189 0.682696i
\(79\) −3.24657 + 5.62322i −0.365268 + 0.632662i −0.988819 0.149120i \(-0.952356\pi\)
0.623551 + 0.781782i \(0.285689\pi\)
\(80\) 1.63161i 0.182420i
\(81\) −1.23612 + 8.91471i −0.137347 + 0.990523i
\(82\) 8.56348i 0.945678i
\(83\) 6.85946i 0.752924i 0.926432 + 0.376462i \(0.122859\pi\)
−0.926432 + 0.376462i \(0.877141\pi\)
\(84\) 0.943293 + 4.48444i 0.102922 + 0.489292i
\(85\) 4.31602 2.49186i 0.468138 0.270280i
\(86\) 2.69662 4.67069i 0.290784 0.503653i
\(87\) −3.24385 4.54327i −0.347777 0.487090i
\(88\) −2.07077 −0.220744
\(89\) 0.929234 0.536494i 0.0984986 0.0568682i −0.449942 0.893058i \(-0.648555\pi\)
0.548440 + 0.836190i \(0.315222\pi\)
\(90\) 3.69122 3.21471i 0.389089 0.338860i
\(91\) 6.65920 6.83045i 0.698073 0.716026i
\(92\) 6.10879i 0.636886i
\(93\) 1.09562 + 11.3238i 0.113611 + 1.17422i
\(94\) 0.824656i 0.0850568i
\(95\) 1.87202 + 1.08081i 0.192065 + 0.110889i
\(96\) −1.40963 + 1.00646i −0.143869 + 0.102721i
\(97\) 4.58560 + 7.94250i 0.465598 + 0.806439i 0.999228 0.0392790i \(-0.0125061\pi\)
−0.533631 + 0.845718i \(0.679173\pi\)
\(98\) −2.08105 + 6.68350i −0.210218 + 0.675136i
\(99\) −4.07996 4.68472i −0.410051 0.470832i
\(100\) 2.33784 0.233784
\(101\) 0.762652 0.0758867 0.0379434 0.999280i \(-0.487919\pi\)
0.0379434 + 0.999280i \(0.487919\pi\)
\(102\) −4.81516 2.19171i −0.476772 0.217012i
\(103\) −11.8342 6.83246i −1.16606 0.673222i −0.213307 0.976985i \(-0.568424\pi\)
−0.952748 + 0.303763i \(0.901757\pi\)
\(104\) 3.37445 + 1.27006i 0.330893 + 0.124540i
\(105\) 7.31687 1.53909i 0.714053 0.150200i
\(106\) 9.25742 + 5.34477i 0.899160 + 0.519130i
\(107\) −7.90733 + 4.56530i −0.764431 + 0.441344i −0.830884 0.556445i \(-0.812165\pi\)
0.0664535 + 0.997790i \(0.478832\pi\)
\(108\) −5.05425 1.20603i −0.486346 0.116050i
\(109\) −14.4120 + 8.32078i −1.38042 + 0.796986i −0.992209 0.124584i \(-0.960240\pi\)
−0.388211 + 0.921570i \(0.626907\pi\)
\(110\) 3.37869i 0.322145i
\(111\) 13.6848 1.32407i 1.29891 0.125675i
\(112\) −2.62951 + 0.292738i −0.248465 + 0.0276611i
\(113\) 7.84130 4.52717i 0.737647 0.425881i −0.0835662 0.996502i \(-0.526631\pi\)
0.821213 + 0.570622i \(0.193298\pi\)
\(114\) −0.220989 2.28402i −0.0206975 0.213918i
\(115\) −9.96719 −0.929445
\(116\) 2.79123 1.61152i 0.259159 0.149626i
\(117\) 3.77529 + 10.1364i 0.349025 + 0.937113i
\(118\) 13.5971i 1.25172i
\(119\) −4.79024 6.50862i −0.439120 0.596644i
\(120\) 1.64215 + 2.29996i 0.149907 + 0.209957i
\(121\) −6.71193 −0.610175
\(122\) −13.4689 + 7.77625i −1.21941 + 0.704029i
\(123\) 8.61877 + 12.0713i 0.777128 + 1.08843i
\(124\) −6.56832 −0.589852
\(125\) 11.9725i 1.07085i
\(126\) −5.84308 5.37200i −0.520543 0.478576i
\(127\) 1.70273 2.94922i 0.151093 0.261701i −0.780536 0.625110i \(-0.785054\pi\)
0.931630 + 0.363409i \(0.118387\pi\)
\(128\) −0.500000 0.866025i −0.0441942 0.0765466i
\(129\) 0.899616 + 9.29795i 0.0792068 + 0.818639i
\(130\) 2.07225 5.50580i 0.181748 0.482891i
\(131\) −5.11851 + 8.86551i −0.447206 + 0.774584i −0.998203 0.0599237i \(-0.980914\pi\)
0.550997 + 0.834507i \(0.314248\pi\)
\(132\) 2.91901 2.08414i 0.254067 0.181401i
\(133\) 1.40597 3.21087i 0.121913 0.278417i
\(134\) −2.83485 + 1.63670i −0.244894 + 0.141390i
\(135\) −1.96777 + 8.24659i −0.169359 + 0.709753i
\(136\) 1.52723 2.64525i 0.130959 0.226828i
\(137\) −1.84724 + 3.19951i −0.157820 + 0.273353i −0.934082 0.357058i \(-0.883780\pi\)
0.776262 + 0.630410i \(0.217113\pi\)
\(138\) 6.14824 + 8.61111i 0.523373 + 0.733027i
\(139\) −11.8635 + 6.84939i −1.00625 + 0.580958i −0.910091 0.414408i \(-0.863989\pi\)
−0.0961575 + 0.995366i \(0.530655\pi\)
\(140\) 0.477634 + 4.29034i 0.0403675 + 0.362600i
\(141\) 0.829981 + 1.16246i 0.0698970 + 0.0978965i
\(142\) −4.59225 + 7.95402i −0.385373 + 0.667486i
\(143\) −6.98771 2.63000i −0.584341 0.219932i
\(144\) 0.974089 2.83745i 0.0811741 0.236455i
\(145\) −2.62937 4.55421i −0.218358 0.378206i
\(146\) −1.43611 + 2.48741i −0.118853 + 0.205860i
\(147\) −3.79316 11.5157i −0.312854 0.949801i
\(148\) 7.93783i 0.652486i
\(149\) 19.3433 1.58466 0.792332 0.610090i \(-0.208867\pi\)
0.792332 + 0.610090i \(0.208867\pi\)
\(150\) −3.29548 + 2.35293i −0.269075 + 0.192116i
\(151\) −2.94889 + 1.70254i −0.239977 + 0.138551i −0.615166 0.788397i \(-0.710911\pi\)
0.375189 + 0.926948i \(0.377578\pi\)
\(152\) 1.32484 0.107459
\(153\) 8.99343 1.75675i 0.727076 0.142025i
\(154\) 5.44509 0.606191i 0.438778 0.0488483i
\(155\) 10.7169i 0.860806i
\(156\) −6.03498 + 1.60593i −0.483185 + 0.128577i
\(157\) −16.4481 + 9.49631i −1.31270 + 0.757888i −0.982543 0.186038i \(-0.940435\pi\)
−0.330158 + 0.943926i \(0.607102\pi\)
\(158\) 6.49314 0.516567
\(159\) −18.4288 + 1.78306i −1.46150 + 0.141406i
\(160\) −1.41302 + 0.815806i −0.111709 + 0.0644952i
\(161\) 1.78827 + 16.0631i 0.140936 + 1.26595i
\(162\) 8.33842 3.38684i 0.655129 0.266095i
\(163\) 1.12220i 0.0878974i 0.999034 + 0.0439487i \(0.0139938\pi\)
−0.999034 + 0.0439487i \(0.986006\pi\)
\(164\) −7.41619 + 4.28174i −0.579107 + 0.334348i
\(165\) −3.40050 4.76269i −0.264729 0.370775i
\(166\) 5.94047 3.42973i 0.461070 0.266199i
\(167\) −1.05294 0.607914i −0.0814787 0.0470418i 0.458707 0.888588i \(-0.348313\pi\)
−0.540186 + 0.841546i \(0.681646\pi\)
\(168\) 3.41199 3.05914i 0.263241 0.236017i
\(169\) 9.77389 + 8.57153i 0.751838 + 0.659348i
\(170\) −4.31602 2.49186i −0.331024 0.191117i
\(171\) 2.61028 + 2.99720i 0.199613 + 0.229202i
\(172\) −5.39324 −0.411231
\(173\) −19.2174 −1.46107 −0.730537 0.682873i \(-0.760730\pi\)
−0.730537 + 0.682873i \(0.760730\pi\)
\(174\) −2.31267 + 5.08089i −0.175323 + 0.385181i
\(175\) −6.14736 + 0.684373i −0.464697 + 0.0517338i
\(176\) 1.03538 + 1.79334i 0.0780450 + 0.135178i
\(177\) −13.6849 19.1669i −1.02862 1.44067i
\(178\) −0.929234 0.536494i −0.0696491 0.0402119i
\(179\) 16.5953i 1.24039i −0.784447 0.620196i \(-0.787053\pi\)
0.784447 0.620196i \(-0.212947\pi\)
\(180\) −4.62963 1.58934i −0.345072 0.118462i
\(181\) 21.1467i 1.57182i −0.618341 0.785910i \(-0.712195\pi\)
0.618341 0.785910i \(-0.287805\pi\)
\(182\) −9.24495 2.35180i −0.685281 0.174327i
\(183\) 11.1596 24.5174i 0.824941 1.81238i
\(184\) −5.29037 + 3.05440i −0.390011 + 0.225173i
\(185\) 12.9515 0.952211
\(186\) 9.25887 6.61073i 0.678893 0.484722i
\(187\) −3.16255 + 5.47769i −0.231268 + 0.400568i
\(188\) −0.714173 + 0.412328i −0.0520864 + 0.0300721i
\(189\) 13.6432 + 1.69169i 0.992400 + 0.123053i
\(190\) 2.16163i 0.156821i
\(191\) 6.55386i 0.474221i −0.971483 0.237110i \(-0.923800\pi\)
0.971483 0.237110i \(-0.0762003\pi\)
\(192\) 1.57643 + 0.717543i 0.113769 + 0.0517842i
\(193\) 9.94353i 0.715751i −0.933769 0.357875i \(-0.883501\pi\)
0.933769 0.357875i \(-0.116499\pi\)
\(194\) 4.58560 7.94250i 0.329227 0.570238i
\(195\) 2.62026 + 9.84675i 0.187641 + 0.705140i
\(196\) 6.82861 1.53951i 0.487758 0.109965i
\(197\) 0.185155 0.320698i 0.0131918 0.0228488i −0.859354 0.511381i \(-0.829134\pi\)
0.872546 + 0.488532i \(0.162467\pi\)
\(198\) −2.01711 + 5.87571i −0.143350 + 0.417568i
\(199\) 14.6253 + 8.44390i 1.03676 + 0.598572i 0.918913 0.394460i \(-0.129068\pi\)
0.117844 + 0.993032i \(0.462402\pi\)
\(200\) −1.16892 2.02463i −0.0826551 0.143163i
\(201\) 2.34881 5.16030i 0.165672 0.363979i
\(202\) −0.381326 0.660476i −0.0268300 0.0464709i
\(203\) −6.86781 + 5.05459i −0.482026 + 0.354763i
\(204\) 0.509499 + 5.26590i 0.0356720 + 0.368687i
\(205\) 6.98614 + 12.1003i 0.487933 + 0.845125i
\(206\) 13.6649i 0.952080i
\(207\) −17.3334 5.95051i −1.20476 0.413589i
\(208\) −0.587322 3.55739i −0.0407235 0.246661i
\(209\) −2.74343 −0.189767
\(210\) −4.99132 5.56705i −0.344434 0.384163i
\(211\) −0.132711 + 0.229862i −0.00913618 + 0.0158243i −0.870557 0.492067i \(-0.836242\pi\)
0.861421 + 0.507891i \(0.169575\pi\)
\(212\) 10.6895i 0.734161i
\(213\) −1.53202 15.8341i −0.104972 1.08493i
\(214\) 7.90733 + 4.56530i 0.540534 + 0.312078i
\(215\) 8.79969i 0.600134i
\(216\) 1.48267 + 4.98013i 0.100883 + 0.338855i
\(217\) 17.2714 1.92279i 1.17246 0.130528i
\(218\) 14.4120 + 8.32078i 0.976105 + 0.563554i
\(219\) −0.479098 4.95170i −0.0323744 0.334605i
\(220\) 2.92603 1.68934i 0.197273 0.113896i
\(221\) 8.51321 6.98659i 0.572660 0.469969i
\(222\) −7.98909 11.1894i −0.536192 0.750982i
\(223\) −5.03909 + 8.72796i −0.337442 + 0.584467i −0.983951 0.178439i \(-0.942895\pi\)
0.646508 + 0.762907i \(0.276229\pi\)
\(224\) 1.56827 + 2.13085i 0.104785 + 0.142373i
\(225\) 2.27726 6.63351i 0.151818 0.442234i
\(226\) −7.84130 4.52717i −0.521595 0.301143i
\(227\) −9.90698 5.71980i −0.657550 0.379636i 0.133793 0.991009i \(-0.457284\pi\)
−0.791343 + 0.611373i \(0.790618\pi\)
\(228\) −1.86753 + 1.33339i −0.123680 + 0.0883062i
\(229\) −4.74685 + 8.22179i −0.313681 + 0.543311i −0.979156 0.203109i \(-0.934895\pi\)
0.665475 + 0.746420i \(0.268229\pi\)
\(230\) 4.98359 + 8.63184i 0.328608 + 0.569166i
\(231\) −7.06544 + 6.33475i −0.464872 + 0.416796i
\(232\) −2.79123 1.61152i −0.183253 0.105801i
\(233\) 3.90224 + 2.25296i 0.255644 + 0.147596i 0.622346 0.782742i \(-0.286180\pi\)
−0.366702 + 0.930339i \(0.619513\pi\)
\(234\) 6.89076 8.33771i 0.450463 0.545053i
\(235\) 0.672760 + 1.16525i 0.0438860 + 0.0760128i
\(236\) 11.7755 6.79857i 0.766517 0.442549i
\(237\) −9.15290 + 6.53507i −0.594545 + 0.424498i
\(238\) −3.24151 + 7.40277i −0.210116 + 0.479851i
\(239\) 17.3876 1.12471 0.562354 0.826896i \(-0.309896\pi\)
0.562354 + 0.826896i \(0.309896\pi\)
\(240\) 1.17075 2.57212i 0.0755718 0.166030i
\(241\) −0.714410 + 1.23739i −0.0460192 + 0.0797076i −0.888118 0.459616i \(-0.847987\pi\)
0.842098 + 0.539324i \(0.181320\pi\)
\(242\) 3.35596 + 5.81270i 0.215729 + 0.373654i
\(243\) −8.34535 + 13.1664i −0.535355 + 0.844627i
\(244\) 13.4689 + 7.77625i 0.862256 + 0.497824i
\(245\) −2.51188 11.1416i −0.160478 0.711814i
\(246\) 6.14466 13.4997i 0.391770 0.860711i
\(247\) 4.47061 + 1.68263i 0.284458 + 0.107063i
\(248\) 3.28416 + 5.68833i 0.208544 + 0.361209i
\(249\) −4.92196 + 10.8135i −0.311916 + 0.685275i
\(250\) −10.3685 + 5.98626i −0.655762 + 0.378604i
\(251\) 3.39863 + 5.88660i 0.214520 + 0.371559i 0.953124 0.302580i \(-0.0978480\pi\)
−0.738604 + 0.674139i \(0.764515\pi\)
\(252\) −1.73074 + 7.74626i −0.109027 + 0.487968i
\(253\) 10.9551 6.32494i 0.688743 0.397646i
\(254\) −3.40547 −0.213678
\(255\) 8.59192 0.831305i 0.538047 0.0520583i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 7.07525 + 12.2547i 0.441342 + 0.764427i 0.997789 0.0664559i \(-0.0211692\pi\)
−0.556447 + 0.830883i \(0.687836\pi\)
\(258\) 7.60245 5.42807i 0.473308 0.337937i
\(259\) −2.32370 20.8726i −0.144388 1.29696i
\(260\) −5.80429 + 0.958282i −0.359967 + 0.0594301i
\(261\) −1.85370 9.48975i −0.114741 0.587401i
\(262\) 10.2370 0.632445
\(263\) 12.8664i 0.793376i −0.917953 0.396688i \(-0.870159\pi\)
0.917953 0.396688i \(-0.129841\pi\)
\(264\) −3.26442 1.48586i −0.200911 0.0914486i
\(265\) −17.4412 −1.07140
\(266\) −3.48367 + 0.387830i −0.213598 + 0.0237794i
\(267\) 1.84983 0.178979i 0.113208 0.0109533i
\(268\) 2.83485 + 1.63670i 0.173166 + 0.0999776i
\(269\) 13.6771 23.6895i 0.833909 1.44437i −0.0610064 0.998137i \(-0.519431\pi\)
0.894916 0.446236i \(-0.147236\pi\)
\(270\) 8.12564 2.41915i 0.494511 0.147225i
\(271\) −0.677785 1.17396i −0.0411725 0.0713129i 0.844705 0.535232i \(-0.179776\pi\)
−0.885877 + 0.463920i \(0.846443\pi\)
\(272\) −3.05447 −0.185204
\(273\) 15.3989 5.98947i 0.931984 0.362499i
\(274\) 3.69448 0.223192
\(275\) 2.42056 + 4.19253i 0.145965 + 0.252819i
\(276\) 4.38332 9.63009i 0.263845 0.579663i
\(277\) 10.4624 18.1215i 0.628627 1.08881i −0.359200 0.933260i \(-0.616951\pi\)
0.987827 0.155554i \(-0.0497161\pi\)
\(278\) 11.8635 + 6.84939i 0.711525 + 0.410799i
\(279\) −6.39813 + 18.6373i −0.383046 + 1.11579i
\(280\) 3.47672 2.55881i 0.207774 0.152918i
\(281\) 4.08136 0.243474 0.121737 0.992562i \(-0.461154\pi\)
0.121737 + 0.992562i \(0.461154\pi\)
\(282\) 0.591726 1.30001i 0.0352368 0.0774146i
\(283\) 2.16327i 0.128593i 0.997931 + 0.0642966i \(0.0204804\pi\)
−0.997931 + 0.0642966i \(0.979520\pi\)
\(284\) 9.18451 0.545000
\(285\) 2.17558 + 3.04708i 0.128870 + 0.180494i
\(286\) 1.21621 + 7.36653i 0.0719158 + 0.435592i
\(287\) 18.2475 13.4299i 1.07712 0.792739i
\(288\) −2.94435 + 0.575141i −0.173498 + 0.0338905i
\(289\) 3.83511 + 6.64261i 0.225595 + 0.390741i
\(290\) −2.62937 + 4.55421i −0.154402 + 0.267432i
\(291\) 1.52980 + 15.8112i 0.0896783 + 0.926867i
\(292\) 2.87221 0.168084
\(293\) 5.29149 3.05504i 0.309132 0.178478i −0.337406 0.941359i \(-0.609549\pi\)
0.646538 + 0.762882i \(0.276216\pi\)
\(294\) −8.07633 + 9.04283i −0.471021 + 0.527389i
\(295\) −11.0926 19.2130i −0.645838 1.11862i
\(296\) 6.87437 3.96892i 0.399564 0.230689i
\(297\) −3.07027 10.3127i −0.178155 0.598403i
\(298\) −9.67165 16.7518i −0.560263 0.970405i
\(299\) −21.7314 + 3.58783i −1.25676 + 0.207490i
\(300\) 3.68544 + 1.67750i 0.212779 + 0.0968506i
\(301\) 14.1816 1.57880i 0.817412 0.0910008i
\(302\) 2.94889 + 1.70254i 0.169689 + 0.0979703i
\(303\) 1.20227 + 0.547236i 0.0690685 + 0.0314379i
\(304\) −0.662420 1.14734i −0.0379924 0.0658047i
\(305\) 12.6878 21.9760i 0.726503 1.25834i
\(306\) −6.01811 6.91017i −0.344032 0.395028i
\(307\) 0.994225 0.0567434 0.0283717 0.999597i \(-0.490968\pi\)
0.0283717 + 0.999597i \(0.490968\pi\)
\(308\) −3.24752 4.41249i −0.185045 0.251425i
\(309\) −13.7532 19.2624i −0.782389 1.09580i
\(310\) 9.28115 5.35847i 0.527134 0.304341i
\(311\) 0.596522 + 1.03321i 0.0338256 + 0.0585877i 0.882443 0.470420i \(-0.155898\pi\)
−0.848617 + 0.529008i \(0.822564\pi\)
\(312\) 4.40827 + 4.42348i 0.249569 + 0.250430i
\(313\) 22.7854 + 13.1551i 1.28791 + 0.743573i 0.978280 0.207285i \(-0.0664629\pi\)
0.309626 + 0.950859i \(0.399796\pi\)
\(314\) 16.4481 + 9.49631i 0.928219 + 0.535908i
\(315\) 12.6389 + 2.82390i 0.712121 + 0.159109i
\(316\) −3.24657 5.62322i −0.182634 0.316331i
\(317\) 11.3370 19.6363i 0.636751 1.10289i −0.349390 0.936977i \(-0.613611\pi\)
0.986141 0.165908i \(-0.0530555\pi\)
\(318\) 10.7586 + 15.0683i 0.603310 + 0.844986i
\(319\) 5.77999 + 3.33708i 0.323617 + 0.186840i
\(320\) 1.41302 + 0.815806i 0.0789901 + 0.0456050i
\(321\) −15.7412 + 1.52302i −0.878586 + 0.0850069i
\(322\) 13.0169 9.58025i 0.725405 0.533886i
\(323\) 2.02334 3.50453i 0.112582 0.194997i
\(324\) −7.10230 5.52787i −0.394572 0.307104i
\(325\) −1.37306 8.31662i −0.0761639 0.461323i
\(326\) 0.971853 0.561100i 0.0538260 0.0310764i
\(327\) −28.6900 + 2.77588i −1.58656 + 0.153507i
\(328\) 7.41619 + 4.28174i 0.409490 + 0.236419i
\(329\) 1.75722 1.29328i 0.0968786 0.0713011i
\(330\) −2.42436 + 5.32627i −0.133456 + 0.293201i
\(331\) 5.13270i 0.282118i −0.990001 0.141059i \(-0.954949\pi\)
0.990001 0.141059i \(-0.0450508\pi\)
\(332\) −5.94047 3.42973i −0.326025 0.188231i
\(333\) 22.5232 + 7.73216i 1.23427 + 0.423720i
\(334\) 1.21583i 0.0665271i
\(335\) 2.67047 4.62539i 0.145903 0.252712i
\(336\) −4.35528 1.42530i −0.237600 0.0777567i
\(337\) 8.20935 0.447192 0.223596 0.974682i \(-0.428220\pi\)
0.223596 + 0.974682i \(0.428220\pi\)
\(338\) 2.53622 12.7502i 0.137952 0.693519i
\(339\) 15.6097 1.51030i 0.847802 0.0820285i
\(340\) 4.98371i 0.270280i
\(341\) −6.80072 11.7792i −0.368280 0.637879i
\(342\) 1.29051 3.75917i 0.0697829 0.203273i
\(343\) −17.5052 + 6.04714i −0.945192 + 0.326515i
\(344\) 2.69662 + 4.67069i 0.145392 + 0.251827i
\(345\) −15.7126 7.15189i −0.845936 0.385045i
\(346\) 9.60871 + 16.6428i 0.516568 + 0.894721i
\(347\) −9.27968 5.35762i −0.498159 0.287612i 0.229794 0.973239i \(-0.426195\pi\)
−0.727953 + 0.685627i \(0.759528\pi\)
\(348\) 5.55651 0.537616i 0.297860 0.0288193i
\(349\) −2.23834 + 3.87693i −0.119816 + 0.207527i −0.919695 0.392634i \(-0.871564\pi\)
0.799879 + 0.600162i \(0.204897\pi\)
\(350\) 3.66637 + 4.98159i 0.195976 + 0.266277i
\(351\) −1.32185 + 18.6883i −0.0705551 + 0.997508i
\(352\) 1.03538 1.79334i 0.0551861 0.0955852i
\(353\) 17.9679i 0.956335i 0.878269 + 0.478168i \(0.158699\pi\)
−0.878269 + 0.478168i \(0.841301\pi\)
\(354\) −9.75653 + 21.4349i −0.518554 + 1.13925i
\(355\) 14.9856i 0.795351i
\(356\) 1.07299i 0.0568682i
\(357\) −2.88126 13.6976i −0.152492 0.724953i
\(358\) −14.3720 + 8.29766i −0.759582 + 0.438545i
\(359\) −2.59460 + 4.49398i −0.136938 + 0.237183i −0.926336 0.376698i \(-0.877059\pi\)
0.789398 + 0.613881i \(0.210393\pi\)
\(360\) 0.938408 + 4.80404i 0.0494584 + 0.253195i
\(361\) −17.2448 −0.907621
\(362\) −18.3135 + 10.5733i −0.962539 + 0.555722i
\(363\) −10.5809 4.81610i −0.555352 0.252780i
\(364\) 2.58575 + 9.18226i 0.135530 + 0.481281i
\(365\) 4.68634i 0.245294i
\(366\) −26.8125 + 2.59423i −1.40151 + 0.135602i
\(367\) 16.4813i 0.860319i −0.902753 0.430160i \(-0.858457\pi\)
0.902753 0.430160i \(-0.141543\pi\)
\(368\) 5.29037 + 3.05440i 0.275780 + 0.159221i
\(369\) 4.92521 + 25.2139i 0.256396 + 1.31258i
\(370\) −6.47574 11.2163i −0.336657 0.583108i
\(371\) 3.12923 + 28.1082i 0.162462 + 1.45931i
\(372\) −10.3545 4.71305i −0.536855 0.244360i
\(373\) 35.5875 1.84265 0.921325 0.388794i \(-0.127108\pi\)
0.921325 + 0.388794i \(0.127108\pi\)
\(374\) 6.32509 0.327063
\(375\) 8.59080 18.8738i 0.443627 0.974640i
\(376\) 0.714173 + 0.412328i 0.0368307 + 0.0212642i
\(377\) −7.37216 8.98303i −0.379685 0.462649i
\(378\) −5.35657 12.6612i −0.275512 0.651224i
\(379\) 25.3582 + 14.6406i 1.30256 + 0.752035i 0.980843 0.194800i \(-0.0624057\pi\)
0.321720 + 0.946835i \(0.395739\pi\)
\(380\) −1.87202 + 1.08081i −0.0960327 + 0.0554445i
\(381\) 4.80044 3.42746i 0.245934 0.175594i
\(382\) −5.67581 + 3.27693i −0.290400 + 0.167662i
\(383\) 10.1419i 0.518228i −0.965847 0.259114i \(-0.916569\pi\)
0.965847 0.259114i \(-0.0834305\pi\)
\(384\) −0.166804 1.72400i −0.00851220 0.0879775i
\(385\) −7.19948 + 5.29870i −0.366920 + 0.270047i
\(386\) −8.61135 + 4.97176i −0.438306 + 0.253056i
\(387\) −5.25350 + 15.3031i −0.267050 + 0.777900i
\(388\) −9.17121 −0.465598
\(389\) −23.9026 + 13.8002i −1.21191 + 0.699696i −0.963175 0.268876i \(-0.913348\pi\)
−0.248734 + 0.968572i \(0.580015\pi\)
\(390\) 7.21741 7.19259i 0.365468 0.364211i
\(391\) 18.6591i 0.943632i
\(392\) −4.74756 5.14399i −0.239788 0.259811i
\(393\) −14.4304 + 10.3031i −0.727915 + 0.519723i
\(394\) −0.370310 −0.0186560
\(395\) −9.17493 + 5.29715i −0.461641 + 0.266528i
\(396\) 6.09707 1.19098i 0.306389 0.0598492i
\(397\) 0.219678 0.0110253 0.00551266 0.999985i \(-0.498245\pi\)
0.00551266 + 0.999985i \(0.498245\pi\)
\(398\) 16.8878i 0.846509i
\(399\) 4.52034 4.05286i 0.226300 0.202897i
\(400\) −1.16892 + 2.02463i −0.0584460 + 0.101231i
\(401\) 11.9325 + 20.6677i 0.595882 + 1.03210i 0.993422 + 0.114513i \(0.0365307\pi\)
−0.397540 + 0.917585i \(0.630136\pi\)
\(402\) −5.64336 + 0.546019i −0.281465 + 0.0272329i
\(403\) 3.85772 + 23.3661i 0.192167 + 1.16395i
\(404\) −0.381326 + 0.660476i −0.0189717 + 0.0328599i
\(405\) −9.01934 + 11.5882i −0.448175 + 0.575822i
\(406\) 7.81131 + 3.42040i 0.387669 + 0.169752i
\(407\) −14.2352 + 8.21870i −0.705613 + 0.407386i
\(408\) 4.30566 3.07419i 0.213162 0.152195i
\(409\) 3.87344 6.70900i 0.191529 0.331739i −0.754228 0.656613i \(-0.771989\pi\)
0.945757 + 0.324874i \(0.105322\pi\)
\(410\) 6.98614 12.1003i 0.345021 0.597594i
\(411\) −5.20783 + 3.71833i −0.256883 + 0.183412i
\(412\) 11.8342 6.83246i 0.583028 0.336611i
\(413\) −28.9735 + 21.3240i −1.42569 + 1.04929i
\(414\) 3.51342 + 17.9864i 0.172675 + 0.883985i
\(415\) −5.59599 + 9.69254i −0.274696 + 0.475788i
\(416\) −2.78713 + 2.28733i −0.136650 + 0.112146i
\(417\) −23.6167 + 2.28502i −1.15652 + 0.111898i
\(418\) 1.37172 + 2.37588i 0.0670929 + 0.116208i
\(419\) −1.65804 + 2.87182i −0.0810008 + 0.140297i −0.903680 0.428208i \(-0.859145\pi\)
0.822679 + 0.568506i \(0.192478\pi\)
\(420\) −2.32554 + 7.10614i −0.113475 + 0.346744i
\(421\) 25.2793i 1.23204i 0.787731 + 0.616019i \(0.211256\pi\)
−0.787731 + 0.616019i \(0.788744\pi\)
\(422\) 0.265421 0.0129205
\(423\) 0.474294 + 2.42808i 0.0230610 + 0.118057i
\(424\) −9.25742 + 5.34477i −0.449580 + 0.259565i
\(425\) −7.14086 −0.346383
\(426\) −12.9467 + 9.24381i −0.627271 + 0.447864i
\(427\) −37.6929 16.5049i −1.82409 0.798726i
\(428\) 9.13060i 0.441344i
\(429\) −9.12849 9.15999i −0.440728 0.442249i
\(430\) 7.62075 4.39984i 0.367505 0.212179i
\(431\) 24.8809 1.19847 0.599235 0.800573i \(-0.295472\pi\)
0.599235 + 0.800573i \(0.295472\pi\)
\(432\) 3.57158 3.77410i 0.171838 0.181581i
\(433\) 17.2062 9.93398i 0.826875 0.477396i −0.0259066 0.999664i \(-0.508247\pi\)
0.852781 + 0.522268i \(0.174914\pi\)
\(434\) −10.3009 13.9961i −0.494459 0.671834i
\(435\) −0.877182 9.06608i −0.0420576 0.434685i
\(436\) 16.6416i 0.796986i
\(437\) −7.00889 + 4.04659i −0.335281 + 0.193574i
\(438\) −4.04875 + 2.89076i −0.193457 + 0.138126i
\(439\) 1.13469 0.655115i 0.0541559 0.0312670i −0.472678 0.881235i \(-0.656712\pi\)
0.526834 + 0.849969i \(0.323379\pi\)
\(440\) −2.92603 1.68934i −0.139493 0.0805363i
\(441\) 2.28338 20.8755i 0.108733 0.994071i
\(442\) −10.3072 3.87936i −0.490262 0.184522i
\(443\) 13.3621 + 7.71462i 0.634853 + 0.366533i 0.782629 0.622488i \(-0.213878\pi\)
−0.147776 + 0.989021i \(0.547211\pi\)
\(444\) −5.69574 + 12.5134i −0.270308 + 0.593862i
\(445\) 1.75070 0.0829911
\(446\) 10.0782 0.477216
\(447\) 30.4933 + 13.8796i 1.44229 + 0.656485i
\(448\) 1.06124 2.42359i 0.0501386 0.114504i
\(449\) 10.2266 + 17.7130i 0.482625 + 0.835930i 0.999801 0.0199485i \(-0.00635023\pi\)
−0.517176 + 0.855879i \(0.673017\pi\)
\(450\) −6.88342 + 1.34459i −0.324488 + 0.0633845i
\(451\) −15.3572 8.86648i −0.723142 0.417506i
\(452\) 9.05435i 0.425881i
\(453\) −5.87036 + 0.567983i −0.275814 + 0.0266862i
\(454\) 11.4396i 0.536887i
\(455\) 14.9819 4.21894i 0.702362 0.197787i
\(456\) 2.08852 + 0.950630i 0.0978038 + 0.0445173i
\(457\) −28.1572 + 16.2566i −1.31714 + 0.760450i −0.983267 0.182169i \(-0.941688\pi\)
−0.333871 + 0.942619i \(0.608355\pi\)
\(458\) 9.49370 0.443612
\(459\) 15.4381 + 3.68378i 0.720587 + 0.171944i
\(460\) 4.98359 8.63184i 0.232361 0.402461i
\(461\) 20.3615 11.7557i 0.948329 0.547518i 0.0557678 0.998444i \(-0.482239\pi\)
0.892562 + 0.450926i \(0.148906\pi\)
\(462\) 9.01878 + 2.95147i 0.419592 + 0.137315i
\(463\) 33.0233i 1.53472i −0.641214 0.767362i \(-0.721569\pi\)
0.641214 0.767362i \(-0.278431\pi\)
\(464\) 3.22304i 0.149626i
\(465\) −7.68987 + 16.8945i −0.356609 + 0.783465i
\(466\) 4.50592i 0.208733i
\(467\) −14.2621 + 24.7027i −0.659972 + 1.14310i 0.320651 + 0.947197i \(0.396098\pi\)
−0.980623 + 0.195907i \(0.937235\pi\)
\(468\) −10.6660 1.79872i −0.493038 0.0831458i
\(469\) −7.93339 3.47386i −0.366330 0.160408i
\(470\) 0.672760 1.16525i 0.0310321 0.0537491i
\(471\) −32.7433 + 3.16805i −1.50873 + 0.145976i
\(472\) −11.7755 6.79857i −0.542010 0.312929i
\(473\) −5.58407 9.67190i −0.256756 0.444714i
\(474\) 10.2360 + 4.65911i 0.470154 + 0.214000i
\(475\) −1.54863 2.68231i −0.0710561 0.123073i
\(476\) 8.03175 0.894158i 0.368134 0.0409836i
\(477\) −30.3311 10.4126i −1.38877 0.476759i
\(478\) −8.69379 15.0581i −0.397645 0.688741i
\(479\) 34.8785i 1.59364i −0.604216 0.796821i \(-0.706513\pi\)
0.604216 0.796821i \(-0.293487\pi\)
\(480\) −2.81290 + 0.272160i −0.128391 + 0.0124224i
\(481\) 28.2380 4.66206i 1.28754 0.212572i
\(482\) 1.42882 0.0650810
\(483\) −8.70689 + 26.6055i −0.396177 + 1.21059i
\(484\) 3.35596 5.81270i 0.152544 0.264214i
\(485\) 14.9639i 0.679474i
\(486\) 15.5751 + 0.644067i 0.706503 + 0.0292155i
\(487\) 0.192670 + 0.111238i 0.00873073 + 0.00504069i 0.504359 0.863494i \(-0.331729\pi\)
−0.495628 + 0.868535i \(0.665062\pi\)
\(488\) 15.5525i 0.704029i
\(489\) −0.805226 + 1.76907i −0.0364136 + 0.0800000i
\(490\) −8.39301 + 7.74618i −0.379157 + 0.349937i
\(491\) 25.2390 + 14.5717i 1.13902 + 0.657613i 0.946188 0.323619i \(-0.104899\pi\)
0.192832 + 0.981232i \(0.438233\pi\)
\(492\) −14.7634 + 1.42843i −0.665587 + 0.0643984i
\(493\) −8.52573 + 4.92233i −0.383979 + 0.221691i
\(494\) −0.778107 4.71298i −0.0350087 0.212047i
\(495\) −1.94322 9.94805i −0.0873414 0.447132i
\(496\) 3.28416 5.68833i 0.147463 0.255413i
\(497\) −24.1507 + 2.68865i −1.08331 + 0.120602i
\(498\) 11.8257 1.14419i 0.529923 0.0512723i
\(499\) −34.1625 19.7237i −1.52932 0.882954i −0.999390 0.0349141i \(-0.988884\pi\)
−0.529932 0.848040i \(-0.677782\pi\)
\(500\) 10.3685 + 5.98626i 0.463693 + 0.267714i
\(501\) −1.22368 1.71386i −0.0546699 0.0765697i
\(502\) 3.39863 5.88660i 0.151688 0.262732i
\(503\) 15.0219 + 26.0187i 0.669793 + 1.16012i 0.977962 + 0.208784i \(0.0669505\pi\)
−0.308169 + 0.951332i \(0.599716\pi\)
\(504\) 7.57383 2.37426i 0.337365 0.105758i
\(505\) 1.07764 + 0.622177i 0.0479544 + 0.0276865i
\(506\) −10.9551 6.32494i −0.487015 0.281178i
\(507\) 9.25741 + 20.5256i 0.411136 + 0.911574i
\(508\) 1.70273 + 2.94922i 0.0755466 + 0.130851i
\(509\) 34.5427 19.9432i 1.53108 0.883969i 0.531766 0.846891i \(-0.321529\pi\)
0.999312 0.0370772i \(-0.0118048\pi\)
\(510\) −5.01589 7.02517i −0.222107 0.311080i
\(511\) −7.55251 + 0.840805i −0.334103 + 0.0371950i
\(512\) 1.00000 0.0441942
\(513\) 1.96431 + 6.59787i 0.0867262 + 0.291303i
\(514\) 7.07525 12.2547i 0.312076 0.540532i
\(515\) −11.1479 19.3088i −0.491236 0.850846i
\(516\) −8.50207 3.86989i −0.374283 0.170362i
\(517\) −1.47889 0.853835i −0.0650413 0.0375516i
\(518\) −16.9143 + 12.4487i −0.743173 + 0.546964i
\(519\) −30.2949 13.7893i −1.32980 0.605285i
\(520\) 3.73204 + 4.54752i 0.163661 + 0.199422i
\(521\) 11.5449 + 19.9963i 0.505789 + 0.876052i 0.999978 + 0.00669760i \(0.00213193\pi\)
−0.494188 + 0.869355i \(0.664535\pi\)
\(522\) −7.29152 + 6.35023i −0.319141 + 0.277942i
\(523\) −21.6044 + 12.4733i −0.944696 + 0.545420i −0.891429 0.453160i \(-0.850297\pi\)
−0.0532666 + 0.998580i \(0.516963\pi\)
\(524\) −5.11851 8.86551i −0.223603 0.387292i
\(525\) −10.1820 3.33213i −0.444377 0.145426i
\(526\) −11.1426 + 6.43320i −0.485842 + 0.280501i
\(527\) 20.0627 0.873946
\(528\) 0.345413 + 3.57000i 0.0150322 + 0.155364i
\(529\) 7.15868 12.3992i 0.311247 0.539096i
\(530\) 8.72060 + 15.1045i 0.378799 + 0.656098i
\(531\) −7.82027 40.0348i −0.339371 1.73736i
\(532\) 2.07771 + 2.82304i 0.0900801 + 0.122394i
\(533\) 19.5875 + 23.8675i 0.848430 + 1.03382i
\(534\) −1.07992 1.51251i −0.0467325 0.0654527i
\(535\) −14.8976 −0.644080
\(536\) 3.27341i 0.141390i
\(537\) 11.9079 26.1613i 0.513862 1.12895i
\(538\) −27.3543 −1.17933
\(539\) 9.83109 + 10.6520i 0.423455 + 0.458815i
\(540\) −6.15787 5.82744i −0.264992 0.250773i
\(541\) 29.0831 + 16.7911i 1.25038 + 0.721907i 0.971185 0.238327i \(-0.0765990\pi\)
0.279195 + 0.960234i \(0.409932\pi\)
\(542\) −0.677785 + 1.17396i −0.0291134 + 0.0504258i
\(543\) 15.1736 33.3362i 0.651164 1.43059i
\(544\) 1.52723 + 2.64525i 0.0654796 + 0.113414i
\(545\) −27.1526 −1.16309
\(546\) −12.8865 10.3411i −0.551491 0.442558i
\(547\) −25.6327 −1.09597 −0.547987 0.836487i \(-0.684606\pi\)
−0.547987 + 0.836487i \(0.684606\pi\)
\(548\) −1.84724 3.19951i −0.0789102 0.136676i
\(549\) 35.1846 30.6425i 1.50164 1.30779i
\(550\) 2.42056 4.19253i 0.103213 0.178770i
\(551\) −3.69793 2.13500i −0.157537 0.0909542i
\(552\) −10.5316 + 1.01897i −0.448253 + 0.0433704i
\(553\) 10.1830 + 13.8359i 0.433025 + 0.588363i
\(554\) −20.9249 −0.889013
\(555\) 20.4171 + 9.29324i 0.866657 + 0.394476i
\(556\) 13.6988i 0.580958i
\(557\) 30.0323 1.27251 0.636255 0.771479i \(-0.280483\pi\)
0.636255 + 0.771479i \(0.280483\pi\)
\(558\) 19.3394 3.77771i 0.818704 0.159923i
\(559\) 3.16757 + 19.1859i 0.133974 + 0.811477i
\(560\) −3.95436 1.73152i −0.167102 0.0731703i
\(561\) −8.91601 + 6.36593i −0.376434 + 0.268770i
\(562\) −2.04068 3.53456i −0.0860810 0.149097i
\(563\) −13.0895 + 22.6717i −0.551658 + 0.955500i 0.446497 + 0.894785i \(0.352671\pi\)
−0.998155 + 0.0607150i \(0.980662\pi\)
\(564\) −1.42171 + 0.137556i −0.0598647 + 0.00579216i
\(565\) 14.7732 0.621513
\(566\) 1.87345 1.08164i 0.0787469 0.0454645i
\(567\) 20.2938 + 12.4565i 0.852258 + 0.523122i
\(568\) −4.59225 7.95402i −0.192687 0.333743i
\(569\) 5.07189 2.92826i 0.212625 0.122759i −0.389906 0.920855i \(-0.627492\pi\)
0.602531 + 0.798096i \(0.294159\pi\)
\(570\) 1.55106 3.40765i 0.0649667 0.142731i
\(571\) 15.5567 + 26.9450i 0.651027 + 1.12761i 0.982874 + 0.184279i \(0.0589950\pi\)
−0.331847 + 0.943333i \(0.607672\pi\)
\(572\) 5.77150 4.73653i 0.241319 0.198044i
\(573\) 4.70268 10.3317i 0.196457 0.431613i
\(574\) −20.7543 9.08786i −0.866269 0.379320i
\(575\) 12.3680 + 7.14069i 0.515783 + 0.297787i
\(576\) 1.97026 + 2.26231i 0.0820943 + 0.0942631i
\(577\) −2.11078 3.65597i −0.0878727 0.152200i 0.818739 0.574166i \(-0.194674\pi\)
−0.906612 + 0.421966i \(0.861340\pi\)
\(578\) 3.83511 6.64261i 0.159520 0.276296i
\(579\) 7.13491 15.6753i 0.296517 0.651442i
\(580\) 5.25875 0.218358
\(581\) 16.6245 + 7.27950i 0.689701 + 0.302005i
\(582\) 12.9280 9.23043i 0.535882 0.382613i
\(583\) 19.1699 11.0678i 0.793938 0.458380i
\(584\) −1.43611 2.48741i −0.0594265 0.102930i
\(585\) −2.93481 + 17.4029i −0.121340 + 0.719520i
\(586\) −5.29149 3.05504i −0.218590 0.126203i
\(587\) −25.6971 14.8362i −1.06063 0.612358i −0.135027 0.990842i \(-0.543112\pi\)
−0.925608 + 0.378484i \(0.876445\pi\)
\(588\) 11.8695 + 2.47289i 0.489490 + 0.101980i
\(589\) 4.35098 + 7.53612i 0.179279 + 0.310521i
\(590\) −11.0926 + 19.2130i −0.456676 + 0.790986i
\(591\) 0.521999 0.372701i 0.0214722 0.0153309i
\(592\) −6.87437 3.96892i −0.282535 0.163121i
\(593\) 32.5826 + 18.8116i 1.33801 + 0.772500i 0.986512 0.163690i \(-0.0523396\pi\)
0.351497 + 0.936189i \(0.385673\pi\)
\(594\) −7.39591 + 7.81528i −0.303458 + 0.320665i
\(595\) −1.45892 13.1047i −0.0598098 0.537240i
\(596\) −9.67165 + 16.7518i −0.396166 + 0.686180i
\(597\) 16.9968 + 23.8055i 0.695635 + 0.974294i
\(598\) 13.9728 + 17.0260i 0.571392 + 0.696246i
\(599\) 31.7637 18.3388i 1.29783 0.749302i 0.317800 0.948158i \(-0.397056\pi\)
0.980029 + 0.198856i \(0.0637226\pi\)
\(600\) −0.389962 4.03044i −0.0159201 0.164542i
\(601\) −3.55065 2.04997i −0.144834 0.0836199i 0.425832 0.904802i \(-0.359981\pi\)
−0.570666 + 0.821182i \(0.693315\pi\)
\(602\) −8.45807 11.4922i −0.344725 0.468387i
\(603\) 7.40548 6.44948i 0.301574 0.262643i
\(604\) 3.40508i 0.138551i
\(605\) −9.48407 5.47563i −0.385582 0.222616i
\(606\) −0.127214 1.31481i −0.00516770 0.0534106i
\(607\) 4.44726i 0.180509i 0.995919 + 0.0902543i \(0.0287680\pi\)
−0.995919 + 0.0902543i \(0.971232\pi\)
\(608\) −0.662420 + 1.14734i −0.0268647 + 0.0465310i
\(609\) −14.4535 + 3.04027i −0.585686 + 0.123198i
\(610\) −25.3757 −1.02743
\(611\) 1.88626 + 2.29843i 0.0763100 + 0.0929843i
\(612\) −2.97533 + 8.66692i −0.120270 + 0.350339i
\(613\) 5.82405i 0.235231i −0.993059 0.117616i \(-0.962475\pi\)
0.993059 0.117616i \(-0.0375251\pi\)
\(614\) −0.497113 0.861024i −0.0200618 0.0347481i
\(615\) 2.33064 + 24.0882i 0.0939803 + 0.971330i
\(616\) −2.19757 + 5.01869i −0.0885426 + 0.202209i
\(617\) −16.4572 28.5046i −0.662540 1.14755i −0.979946 0.199263i \(-0.936145\pi\)
0.317406 0.948290i \(-0.397188\pi\)
\(618\) −9.80517 + 21.5418i −0.394422 + 0.866538i
\(619\) 13.6240 + 23.5975i 0.547595 + 0.948463i 0.998439 + 0.0558598i \(0.0177900\pi\)
−0.450843 + 0.892603i \(0.648877\pi\)
\(620\) −9.28115 5.35847i −0.372740 0.215202i
\(621\) −23.0552 21.8180i −0.925173 0.875528i
\(622\) 0.596522 1.03321i 0.0239183 0.0414278i
\(623\) −0.314104 2.82143i −0.0125843 0.113038i
\(624\) 1.62671 6.02941i 0.0651206 0.241370i
\(625\) 3.92265 6.79423i 0.156906 0.271769i
\(626\) 26.3103i 1.05157i
\(627\) −4.32483 1.96853i −0.172717 0.0786156i
\(628\) 18.9926i 0.757888i
\(629\) 24.2459i 0.966746i
\(630\) −3.87387 12.3576i −0.154339 0.492337i
\(631\) 1.34761 0.778043i 0.0536475 0.0309734i −0.472936 0.881097i \(-0.656806\pi\)
0.526584 + 0.850123i \(0.323473\pi\)
\(632\) −3.24657 + 5.62322i −0.129142 + 0.223680i
\(633\) −0.374145 + 0.267135i −0.0148709 + 0.0106177i
\(634\) −22.6741 −0.900502
\(635\) 4.81199 2.77820i 0.190958 0.110250i
\(636\) 7.67021 16.8513i 0.304144 0.668198i
\(637\) −9.48724 23.3879i −0.375898 0.926661i
\(638\) 6.67415i 0.264232i
\(639\) 8.94653 26.0606i 0.353919 1.03094i
\(640\) 1.63161i 0.0644952i
\(641\) −22.8839 13.2120i −0.903861 0.521844i −0.0254102 0.999677i \(-0.508089\pi\)
−0.878451 + 0.477833i \(0.841423\pi\)
\(642\) 9.18956 + 12.8707i 0.362683 + 0.507967i
\(643\) −18.5300 32.0948i −0.730751 1.26570i −0.956563 0.291526i \(-0.905837\pi\)
0.225812 0.974171i \(-0.427496\pi\)
\(644\) −14.8052 6.48287i −0.583407 0.255461i
\(645\) −6.31415 + 13.8721i −0.248620 + 0.546213i
\(646\) −4.04668 −0.159215
\(647\) −37.5321 −1.47554 −0.737769 0.675053i \(-0.764121\pi\)
−0.737769 + 0.675053i \(0.764121\pi\)
\(648\) −1.23612 + 8.91471i −0.0485596 + 0.350203i
\(649\) 24.3842 + 14.0782i 0.957165 + 0.552619i
\(650\) −6.51587 + 5.34742i −0.255573 + 0.209743i
\(651\) 28.6069 + 9.36185i 1.12119 + 0.366920i
\(652\) −0.971853 0.561100i −0.0380607 0.0219744i
\(653\) −37.0507 + 21.3912i −1.44990 + 0.837103i −0.998475 0.0552038i \(-0.982419\pi\)
−0.451430 + 0.892307i \(0.649086\pi\)
\(654\) 16.7490 + 23.4584i 0.654938 + 0.917295i
\(655\) −14.4651 + 8.35142i −0.565198 + 0.326317i
\(656\) 8.56348i 0.334348i
\(657\) 2.79779 8.14978i 0.109152 0.317953i
\(658\) −1.99863 0.875154i −0.0779146 0.0341170i
\(659\) 28.1909 16.2760i 1.09816 0.634024i 0.162425 0.986721i \(-0.448068\pi\)
0.935738 + 0.352696i \(0.114735\pi\)
\(660\) 5.82486 0.563580i 0.226732 0.0219373i
\(661\) −20.2885 −0.789130 −0.394565 0.918868i \(-0.629105\pi\)
−0.394565 + 0.918868i \(0.629105\pi\)
\(662\) −4.44504 + 2.56635i −0.172762 + 0.0997439i
\(663\) 18.4337 4.90527i 0.715904 0.190505i
\(664\) 6.85946i 0.266199i
\(665\) 4.60610 3.39002i 0.178617 0.131459i
\(666\) −4.56538 23.3718i −0.176905 0.905638i
\(667\) 19.6889 0.762356
\(668\) 1.05294 0.607914i 0.0407394 0.0235209i
\(669\) −14.2065 + 10.1433i −0.549254 + 0.392161i
\(670\) −5.34093 −0.206338
\(671\) 32.2056i 1.24328i
\(672\) 0.943293 + 4.48444i 0.0363883 + 0.172991i
\(673\) −11.3708 + 19.6948i −0.438312 + 0.759179i −0.997559 0.0698219i \(-0.977757\pi\)
0.559247 + 0.829001i \(0.311090\pi\)
\(674\) −4.10467 7.10950i −0.158106 0.273848i
\(675\) 8.34978 8.82324i 0.321383 0.339607i
\(676\) −12.3101 + 4.17867i −0.473466 + 0.160718i
\(677\) −16.2207 + 28.0950i −0.623412 + 1.07978i 0.365434 + 0.930837i \(0.380921\pi\)
−0.988846 + 0.148943i \(0.952413\pi\)
\(678\) −9.11281 12.7632i −0.349975 0.490169i
\(679\) 24.1158 2.68476i 0.925478 0.103032i
\(680\) 4.31602 2.49186i 0.165512 0.0955583i
\(681\) −11.5135 16.1256i −0.441197 0.617933i
\(682\) −6.80072 + 11.7792i −0.260413 + 0.451049i
\(683\) 3.59703 6.23024i 0.137637 0.238393i −0.788965 0.614438i \(-0.789383\pi\)
0.926602 + 0.376045i \(0.122716\pi\)
\(684\) −3.90080 + 0.761970i −0.149151 + 0.0291347i
\(685\) −5.22037 + 3.01398i −0.199460 + 0.115158i
\(686\) 13.9896 + 12.1364i 0.534125 + 0.463369i
\(687\) −13.3826 + 9.55500i −0.510577 + 0.364546i
\(688\) 2.69662 4.67069i 0.102808 0.178068i
\(689\) −38.0269 + 6.27820i −1.44871 + 0.239181i
\(690\) 1.66257 + 17.1834i 0.0632930 + 0.654162i
\(691\) 13.0186 + 22.5489i 0.495252 + 0.857801i 0.999985 0.00547440i \(-0.00174257\pi\)
−0.504733 + 0.863275i \(0.668409\pi\)
\(692\) 9.60871 16.6428i 0.365268 0.632664i
\(693\) −15.6836 + 4.91654i −0.595772 + 0.186764i
\(694\) 10.7152i 0.406745i
\(695\) −22.3511 −0.847826
\(696\) −3.24385 4.54327i −0.122958 0.172212i
\(697\) 22.6525 13.0784i 0.858025 0.495381i
\(698\) 4.47669 0.169445
\(699\) 4.53501 + 6.35166i 0.171530 + 0.240242i
\(700\) 2.48100 5.66596i 0.0937729 0.214153i
\(701\) 26.3672i 0.995877i 0.867212 + 0.497938i \(0.165909\pi\)
−0.867212 + 0.497938i \(0.834091\pi\)
\(702\) 16.8455 8.19940i 0.635791 0.309466i
\(703\) 9.10743 5.25818i 0.343493 0.198316i
\(704\) −2.07077 −0.0780450
\(705\) 0.224438 + 2.31968i 0.00845284 + 0.0873640i
\(706\) 15.5607 8.98395i 0.585633 0.338116i
\(707\) 0.809353 1.84835i 0.0304389 0.0695145i
\(708\) 23.4415 2.26806i 0.880984 0.0852389i
\(709\) 28.2847i 1.06225i 0.847292 + 0.531127i \(0.178231\pi\)
−0.847292 + 0.531127i \(0.821769\pi\)
\(710\) −12.9779 + 7.49278i −0.487051 + 0.281199i
\(711\) −19.1181 + 3.73447i −0.716985 + 0.140054i
\(712\) 0.929234 0.536494i 0.0348245 0.0201060i
\(713\) −34.7488 20.0622i −1.30135 0.751337i
\(714\) −10.4218 + 9.34403i −0.390027 + 0.349692i
\(715\) −7.72819 9.41685i −0.289018 0.352170i
\(716\) 14.3720 + 8.29766i 0.537105 + 0.310098i
\(717\) 27.4103 + 12.4763i 1.02366 + 0.465937i
\(718\) 5.18920 0.193659
\(719\) 18.6039 0.693807 0.346904 0.937901i \(-0.387233\pi\)
0.346904 + 0.937901i \(0.387233\pi\)
\(720\) 3.69122 3.21471i 0.137564 0.119805i
\(721\) −29.1179 + 21.4303i −1.08441 + 0.798106i
\(722\) 8.62240 + 14.9344i 0.320893 + 0.555802i
\(723\) −2.01410 + 1.43805i −0.0749053 + 0.0534815i
\(724\) 18.3135 + 10.5733i 0.680618 + 0.392955i
\(725\) 7.53494i 0.279841i
\(726\) 1.11958 + 11.5714i 0.0415515 + 0.429453i
\(727\) 48.9063i 1.81383i −0.421309 0.906917i \(-0.638429\pi\)
0.421309 0.906917i \(-0.361571\pi\)
\(728\) 6.65920 6.83045i 0.246806 0.253154i
\(729\) −22.6034 + 14.7678i −0.837161 + 0.546956i
\(730\) −4.05849 + 2.34317i −0.150211 + 0.0867246i
\(731\) 16.4735 0.609294
\(732\) 15.6529 + 21.9232i 0.578549 + 0.810305i
\(733\) −0.276176 + 0.478352i −0.0102008 + 0.0176683i −0.871081 0.491140i \(-0.836580\pi\)
0.860880 + 0.508808i \(0.169914\pi\)
\(734\) −14.2733 + 8.24067i −0.526836 + 0.304169i
\(735\) 4.03480 19.3664i 0.148826 0.714341i
\(736\) 6.10879i 0.225173i
\(737\) 6.77846i 0.249688i
\(738\) 19.3733 16.8723i 0.713140 0.621078i
\(739\) 32.3244i 1.18907i 0.804068 + 0.594537i \(0.202665\pi\)
−0.804068 + 0.594537i \(0.797335\pi\)
\(740\) −6.47574 + 11.2163i −0.238053 + 0.412320i
\(741\) 5.84025 + 5.86040i 0.214547 + 0.215287i
\(742\) 22.7778 16.7641i 0.836200 0.615430i
\(743\) 19.1716 33.2062i 0.703339 1.21822i −0.263949 0.964537i \(-0.585025\pi\)
0.967288 0.253682i \(-0.0816416\pi\)
\(744\) 1.09562 + 11.3238i 0.0401675 + 0.415150i
\(745\) 27.3324 + 15.7804i 1.00138 + 0.578148i
\(746\) −17.7937 30.8197i −0.651475 1.12839i
\(747\) −15.5182 + 13.5149i −0.567783 + 0.494486i
\(748\) −3.16255 5.47769i −0.115634 0.200284i
\(749\) 2.67287 + 24.0090i 0.0976645 + 0.877269i
\(750\) −20.6406 + 1.99707i −0.753689 + 0.0729226i
\(751\) 7.09736 + 12.2930i 0.258986 + 0.448577i 0.965971 0.258652i \(-0.0832782\pi\)
−0.706984 + 0.707229i \(0.749945\pi\)
\(752\) 0.824656i 0.0300721i
\(753\) 1.13381 + 11.7185i 0.0413184 + 0.427045i
\(754\) −4.09345 + 10.8760i −0.149075 + 0.396080i
\(755\) −5.55578 −0.202195
\(756\) −8.28667 + 10.9696i −0.301383 + 0.398959i
\(757\) −16.0710 + 27.8358i −0.584111 + 1.01171i 0.410875 + 0.911692i \(0.365223\pi\)
−0.994986 + 0.100018i \(0.968110\pi\)
\(758\) 29.2811i 1.06354i
\(759\) 21.8084 2.11006i 0.791595 0.0765902i
\(760\) 1.87202 + 1.08081i 0.0679054 + 0.0392052i
\(761\) 4.65512i 0.168748i −0.996434 0.0843740i \(-0.973111\pi\)
0.996434 0.0843740i \(-0.0268890\pi\)
\(762\) −5.36848 2.44357i −0.194480 0.0885213i
\(763\) 4.87161 + 43.7591i 0.176364 + 1.58419i
\(764\) 5.67581 + 3.27693i 0.205344 + 0.118555i
\(765\) 14.1411 + 4.85458i 0.511271 + 0.175518i
\(766\) −8.78316 + 5.07096i −0.317348 + 0.183221i
\(767\) −31.1012 37.8970i −1.12300 1.36838i
\(768\) −1.40963 + 1.00646i −0.0508655 + 0.0363174i
\(769\) 20.9476 36.2823i 0.755389 1.30837i −0.189792 0.981824i \(-0.560781\pi\)
0.945181 0.326548i \(-0.105885\pi\)
\(770\) 8.18855 + 3.58558i 0.295095 + 0.129215i
\(771\) 2.36037 + 24.3955i 0.0850065 + 0.878582i
\(772\) 8.61135 + 4.97176i 0.309929 + 0.178938i
\(773\) −42.2523 24.3944i −1.51971 0.877406i −0.999730 0.0232279i \(-0.992606\pi\)
−0.519981 0.854178i \(-0.674061\pi\)
\(774\) 15.8796 3.10188i 0.570781 0.111495i