Properties

Label 546.2.bn.e.101.14
Level $546$
Weight $2$
Character 546.101
Analytic conductor $4.360$
Analytic rank $0$
Dimension $34$
CM no
Inner twists $2$

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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 101.14
Character \(\chi\) \(=\) 546.101
Dual form 546.2.bn.e.173.14

$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

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

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 −0.149575 0.988750i \(-0.547790\pi\)
0.781496 + 0.623911i \(0.214457\pi\)
\(6\) −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 0.989628 0.143651i \(-0.0458843\pi\)
−0.619220 + 0.785218i \(0.712551\pi\)
\(18\) 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 −0.166080 0.986112i \(-0.553111\pi\)
−0.937038 + 0.349226i \(0.886444\pi\)
\(24\) 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 −0.736246 0.676714i \(-0.763404\pi\)
0.217928 + 0.975965i \(0.430070\pi\)
\(30\) 1.17075 + 2.57212i 0.213749 + 0.469603i
\(31\) 3.28416 5.68833i 0.589852 1.02165i −0.404399 0.914583i \(-0.632519\pi\)
0.994251 0.107071i \(-0.0341473\pi\)
\(32\) −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 0.943970 0.330032i \(-0.107059\pi\)
0.186169 + 0.982518i \(0.440393\pi\)
\(38\) −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 0.207339 0.978269i \(-0.433520\pi\)
0.950875 + 0.309574i \(0.100186\pi\)
\(42\) −4.35528 + 1.42530i −0.672035 + 0.219929i
\(43\) 2.69662 4.67069i 0.411231 0.712273i −0.583794 0.811902i \(-0.698432\pi\)
0.995025 + 0.0996291i \(0.0317656\pi\)
\(44\) 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 −0.447008 0.894530i \(-0.647511\pi\)
0.551181 + 0.834386i \(0.314177\pi\)
\(48\) −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 −0.296314 0.955091i \(-0.595758\pi\)
−0.975290 + 0.220930i \(0.929091\pi\)
\(54\) 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 −0.533815 + 0.845601i \(0.679242\pi\)
−0.999220 + 0.0394965i \(0.987425\pi\)
\(60\) −2.81290 0.272160i −0.363144 0.0351357i
\(61\) 15.5525i 1.99129i 0.0932030 + 0.995647i \(0.470289\pi\)
−0.0932030 + 0.995647i \(0.529711\pi\)
\(62\) 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 \(0.0640797\pi\)
−0.979805 + 0.199955i \(0.935920\pi\)
\(68\) 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 0.453607 + 0.891202i \(0.350137\pi\)
−0.998607 + 0.0527663i \(0.983196\pi\)
\(72\) 1.97026 2.26231i 0.232198 0.266616i
\(73\) −1.43611 + 2.48741i −0.168084 + 0.291129i −0.937746 0.347322i \(-0.887091\pi\)
0.769662 + 0.638451i \(0.220425\pi\)
\(74\) −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 0.623551 0.781782i \(-0.285689\pi\)
−0.988819 + 0.149120i \(0.952356\pi\)
\(80\) 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 \(-0.877141\pi\)
0.926432 0.376462i \(-0.122859\pi\)
\(84\) 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 0.548440 0.836190i \(-0.315222\pi\)
−0.449942 + 0.893058i \(0.648555\pi\)
\(90\) 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 −0.533631 0.845718i \(-0.679173\pi\)
0.999228 + 0.0392790i \(0.0125061\pi\)
\(98\) −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 −0.952748 0.303763i \(-0.901757\pi\)
−0.213307 + 0.976985i \(0.568424\pi\)
\(104\) 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 0.0664535 0.997790i \(-0.478832\pi\)
−0.830884 + 0.556445i \(0.812165\pi\)
\(108\) −5.05425 + 1.20603i −0.486346 + 0.116050i
\(109\) −14.4120 8.32078i −1.38042 0.796986i −0.388211 0.921570i \(-0.626907\pi\)
−0.992209 + 0.124584i \(0.960240\pi\)
\(110\) 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 0.821213 0.570622i \(-0.193298\pi\)
−0.0835662 + 0.996502i \(0.526631\pi\)
\(114\) −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 0.931630 0.363409i \(-0.118387\pi\)
−0.780536 + 0.625110i \(0.785054\pi\)
\(128\) −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 0.550997 0.834507i \(-0.314248\pi\)
−0.998203 + 0.0599237i \(0.980914\pi\)
\(132\) 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 0.776262 0.630410i \(-0.217113\pi\)
−0.934082 + 0.357058i \(0.883780\pi\)
\(138\) 6.14824 8.61111i 0.523373 0.733027i
\(139\) −11.8635 6.84939i −1.00625 0.580958i −0.0961575 0.995366i \(-0.530655\pi\)
−0.910091 + 0.414408i \(0.863989\pi\)
\(140\) 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 0.375189 0.926948i \(-0.377578\pi\)
−0.615166 + 0.788397i \(0.710911\pi\)
\(152\) 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 −0.330158 0.943926i \(-0.607102\pi\)
−0.982543 + 0.186038i \(0.940435\pi\)
\(158\) 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 \(-0.986006\pi\)
0.999034 0.0439487i \(-0.0139938\pi\)
\(164\) −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 −0.540186 0.841546i \(-0.681646\pi\)
0.458707 + 0.888588i \(0.348313\pi\)
\(168\) 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 \(0.212947\pi\)
−0.784447 + 0.620196i \(0.787053\pi\)
\(180\) −4.62963 + 1.58934i −0.345072 + 0.118462i
\(181\) 21.1467i 1.57182i 0.618341 + 0.785910i \(0.287805\pi\)
−0.618341 + 0.785910i \(0.712195\pi\)
\(182\) −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 \(0.0762003\pi\)
−0.971483 + 0.237110i \(0.923800\pi\)
\(192\) 1.57643 0.717543i 0.113769 0.0517842i
\(193\) 9.94353i 0.715751i 0.933769 + 0.357875i \(0.116499\pi\)
−0.933769 + 0.357875i \(0.883501\pi\)
\(194\) 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 0.872546 0.488532i \(-0.162467\pi\)
−0.859354 + 0.511381i \(0.829134\pi\)
\(198\) −2.01711 5.87571i −0.143350 0.417568i
\(199\) 14.6253 8.44390i 1.03676 0.598572i 0.117844 0.993032i \(-0.462402\pi\)
0.918913 + 0.394460i \(0.129068\pi\)
\(200\) −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 0.861421 0.507891i \(-0.169575\pi\)
−0.870557 + 0.492067i \(0.836242\pi\)
\(212\) 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 0.646508 0.762907i \(-0.276229\pi\)
−0.983951 + 0.178439i \(0.942895\pi\)
\(224\) 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 −0.791343 0.611373i \(-0.790618\pi\)
0.133793 + 0.991009i \(0.457284\pi\)
\(228\) −1.86753 1.33339i −0.123680 0.0883062i
\(229\) −4.74685 8.22179i −0.313681 0.543311i 0.665475 0.746420i \(-0.268229\pi\)
−0.979156 + 0.203109i \(0.934895\pi\)
\(230\) 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 −0.366702 0.930339i \(-0.619513\pi\)
0.622346 + 0.782742i \(0.286180\pi\)
\(234\) 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 0.842098 0.539324i \(-0.181320\pi\)
−0.888118 + 0.459616i \(0.847987\pi\)
\(242\) 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 −0.738604 0.674139i \(-0.764515\pi\)
0.953124 + 0.302580i \(0.0978480\pi\)
\(252\) −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 −0.556447 0.830883i \(-0.687836\pi\)
0.997789 + 0.0664559i \(0.0211692\pi\)
\(258\) 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 \(0.129841\pi\)
−0.917953 + 0.396688i \(0.870159\pi\)
\(264\) −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 0.894916 + 0.446236i \(0.147236\pi\)
−0.0610064 + 0.998137i \(0.519431\pi\)
\(270\) 8.12564 + 2.41915i 0.494511 + 0.147225i
\(271\) −0.677785 + 1.17396i −0.0411725 + 0.0713129i −0.885877 0.463920i \(-0.846443\pi\)
0.844705 + 0.535232i \(0.179776\pi\)
\(272\) −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 0.987827 + 0.155554i \(0.0497161\pi\)
−0.359200 + 0.933260i \(0.616951\pi\)
\(278\) 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 \(-0.979520\pi\)
0.997931 0.0642966i \(-0.0204804\pi\)
\(284\) 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 0.646538 0.762882i \(-0.276216\pi\)
−0.337406 + 0.941359i \(0.609549\pi\)
\(294\) −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 −0.848617 0.529008i \(-0.822564\pi\)
0.882443 + 0.470420i \(0.155898\pi\)
\(312\) 4.40827 4.42348i 0.249569 0.250430i
\(313\) 22.7854 13.1551i 1.28791 0.743573i 0.309626 0.950859i \(-0.399796\pi\)
0.978280 + 0.207285i \(0.0664629\pi\)
\(314\) 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 0.986141 + 0.165908i \(0.0530555\pi\)
−0.349390 + 0.936977i \(0.613611\pi\)
\(318\) 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 \(0.0450508\pi\)
−0.990001 + 0.141059i \(0.954949\pi\)
\(332\) −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 −0.727953 0.685627i \(-0.759528\pi\)
0.229794 + 0.973239i \(0.426195\pi\)
\(348\) 5.55651 + 0.537616i 0.297860 + 0.0288193i
\(349\) −2.23834 3.87693i −0.119816 0.207527i 0.799879 0.600162i \(-0.204897\pi\)
−0.919695 + 0.392634i \(0.871564\pi\)
\(350\) 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 \(-0.841301\pi\)
0.878269 0.478168i \(-0.158699\pi\)
\(354\) −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 0.789398 0.613881i \(-0.210393\pi\)
−0.926336 + 0.376698i \(0.877059\pi\)
\(360\) 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 \(0.141543\pi\)
−0.902753 + 0.430160i \(0.858457\pi\)
\(368\) 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 0.321720 0.946835i \(-0.395739\pi\)
0.980843 + 0.194800i \(0.0624057\pi\)
\(380\) −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 \(0.0834305\pi\)
−0.965847 + 0.259114i \(0.916569\pi\)
\(384\) −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 −0.248734 0.968572i \(-0.580015\pi\)
−0.963175 + 0.268876i \(0.913348\pi\)
\(390\) 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 −0.397540 0.917585i \(-0.630136\pi\)
0.993422 0.114513i \(-0.0365307\pi\)
\(402\) −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 0.945757 0.324874i \(-0.105322\pi\)
−0.754228 + 0.656613i \(0.771989\pi\)
\(410\) 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 0.822679 0.568506i \(-0.192478\pi\)
−0.903680 + 0.428208i \(0.859145\pi\)
\(420\) −2.32554 7.10614i −0.113475 0.346744i
\(421\) 25.2793i 1.23204i −0.787731 0.616019i \(-0.788744\pi\)
0.787731 0.616019i \(-0.211256\pi\)
\(422\) 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 0.852781 0.522268i \(-0.174914\pi\)
−0.0259066 + 0.999664i \(0.508247\pi\)
\(434\) −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 0.526834 0.849969i \(-0.323379\pi\)
−0.472678 + 0.881235i \(0.656712\pi\)
\(440\) −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 −0.147776 0.989021i \(-0.547211\pi\)
0.782629 + 0.622488i \(0.213878\pi\)
\(444\) −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 −0.517176 0.855879i \(-0.673017\pi\)
0.999801 + 0.0199485i \(0.00635023\pi\)
\(450\) −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 −0.333871 0.942619i \(-0.608355\pi\)
−0.983267 + 0.182169i \(0.941688\pi\)
\(458\) 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 0.892562 0.450926i \(-0.148906\pi\)
0.0557678 + 0.998444i \(0.482239\pi\)
\(462\) 9.01878 2.95147i 0.419592 0.137315i
\(463\) 33.0233i 1.53472i 0.641214 + 0.767362i \(0.278431\pi\)
−0.641214 + 0.767362i \(0.721569\pi\)
\(464\) 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 −0.980623 0.195907i \(-0.937235\pi\)
0.320651 0.947197i \(-0.396098\pi\)
\(468\) −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 \(0.293487\pi\)
−0.604216 + 0.796821i \(0.706513\pi\)
\(480\) −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 −0.495628 0.868535i \(-0.665062\pi\)
0.504359 + 0.863494i \(0.331729\pi\)
\(488\) 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 0.192832 0.981232i \(-0.438233\pi\)
0.946188 + 0.323619i \(0.104899\pi\)
\(492\) −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 −0.529932 + 0.848040i \(0.677782\pi\)
−0.999390 + 0.0349141i \(0.988884\pi\)
\(500\) 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 −0.308169 0.951332i \(-0.599716\pi\)
0.977962 0.208784i \(-0.0669505\pi\)
\(504\) 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 0.999312 + 0.0370772i \(0.0118048\pi\)
0.531766 + 0.846891i \(0.321529\pi\)
\(510\) −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 −0.494188 0.869355i \(-0.664535\pi\)
0.999978 0.00669760i \(-0.00213193\pi\)
\(522\) −7.29152 6.35023i −0.319141 0.277942i
\(523\) −21.6044 12.4733i −0.944696 0.545420i −0.0532666 0.998580i \(-0.516963\pi\)
−0.891429 + 0.453160i \(0.850297\pi\)
\(524\) −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 0.279195 0.960234i \(-0.409932\pi\)
0.971185 + 0.238327i \(0.0765990\pi\)
\(542\) −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 −0.998155 0.0607150i \(-0.980662\pi\)
0.446497 0.894785i \(-0.352671\pi\)
\(564\) −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 0.602531 0.798096i \(-0.294159\pi\)
−0.389906 + 0.920855i \(0.627492\pi\)
\(570\) 1.55106 + 3.40765i 0.0649667 + 0.142731i
\(571\) 15.5567 26.9450i 0.651027 1.12761i −0.331847 0.943333i \(-0.607672\pi\)
0.982874 0.184279i \(-0.0589950\pi\)
\(572\) 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 −0.906612 0.421966i \(-0.861340\pi\)
0.818739 + 0.574166i \(0.194674\pi\)
\(578\) 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 −0.925608 0.378484i \(-0.876445\pi\)
−0.135027 + 0.990842i \(0.543112\pi\)
\(588\) 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 0.351497 0.936189i \(-0.385673\pi\)
0.986512 + 0.163690i \(0.0523396\pi\)
\(594\) −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 0.980029 0.198856i \(-0.0637226\pi\)
0.317800 + 0.948158i \(0.397056\pi\)
\(600\) −0.389962 + 4.03044i −0.0159201 + 0.164542i
\(601\) −3.55065 + 2.04997i −0.144834 + 0.0836199i −0.570666 0.821182i \(-0.693315\pi\)
0.425832 + 0.904802i \(0.359981\pi\)
\(602\) −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 \(-0.971232\pi\)
0.995919 0.0902543i \(-0.0287680\pi\)
\(608\) −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 \(0.0375251\pi\)
−0.993059 + 0.117616i \(0.962475\pi\)
\(614\) −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 0.317406 + 0.948290i \(0.397188\pi\)
−0.979946 + 0.199263i \(0.936145\pi\)
\(618\) −9.80517 21.5418i −0.394422 0.866538i
\(619\) 13.6240 23.5975i 0.547595 0.948463i −0.450843 0.892603i \(-0.648877\pi\)
0.998439 0.0558598i \(-0.0177900\pi\)
\(620\) −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 0.526584 0.850123i \(-0.323473\pi\)
−0.472936 + 0.881097i \(0.656806\pi\)
\(632\) −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 −0.878451 0.477833i \(-0.841423\pi\)
−0.0254102 + 0.999677i \(0.508089\pi\)
\(642\) 9.18956 12.8707i 0.362683 0.507967i
\(643\) −18.5300 + 32.0948i −0.730751 + 1.26570i 0.225812 + 0.974171i \(0.427496\pi\)
−0.956563 + 0.291526i \(0.905837\pi\)
\(644\) −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 −0.451430 0.892307i \(-0.649086\pi\)
−0.998475 + 0.0552038i \(0.982419\pi\)
\(654\) 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 0.935738 0.352696i \(-0.114735\pi\)
0.162425 + 0.986721i \(0.448068\pi\)
\(660\) 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 0.559247 0.829001i \(-0.311090\pi\)
−0.997559 + 0.0698219i \(0.977757\pi\)
\(674\) −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 −0.988846 0.148943i \(-0.952413\pi\)
0.365434 0.930837i \(-0.380921\pi\)
\(678\) −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 0.926602 0.376045i \(-0.122716\pi\)
−0.788965 + 0.614438i \(0.789383\pi\)
\(684\) −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 −0.504733 0.863275i \(-0.668409\pi\)
0.999985 + 0.00547440i \(0.00174257\pi\)
\(692\) 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 \(-0.834091\pi\)
0.867212 0.497938i \(-0.165909\pi\)
\(702\) 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 \(-0.821769\pi\)
0.847292 0.531127i \(-0.178231\pi\)
\(710\) −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 \(0.361571\pi\)
−0.421309 + 0.906917i \(0.638429\pi\)
\(728\) 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 0.860880 0.508808i \(-0.169914\pi\)
−0.871081 + 0.491140i \(0.836580\pi\)
\(734\) −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 \(-0.797335\pi\)
0.804068 0.594537i \(-0.202665\pi\)
\(740\) −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 0.967288 + 0.253682i \(0.0816416\pi\)
−0.263949 + 0.964537i \(0.585025\pi\)
\(744\) 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 −0.706984 0.707229i \(-0.749945\pi\)
0.965971 + 0.258652i \(0.0832782\pi\)
\(752\) 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 −0.994986 0.100018i \(-0.968110\pi\)
0.410875 0.911692i \(-0.365223\pi\)
\(758\) 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 \(0.0268890\pi\)
−0.996434 + 0.0843740i \(0.973111\pi\)
\(762\) −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 0.945181 + 0.326548i \(0.105885\pi\)
−0.189792 + 0.981824i \(0.560781\pi\)
\(770\) 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 −0.519981 + 0.854178i \(0.674061\pi\)
−0.999730 + 0.0232279i \(0.992606\pi\)
\(774\) 15.8796 + 3.10188i 0.570781 + 0.111495i