Properties

Label 546.2.u.a.185.6
Level $546$
Weight $2$
Character 546.185
Analytic conductor $4.360$
Analytic rank $0$
Dimension $76$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(76\)
Relative dimension: \(38\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 185.6
Character \(\chi\) \(=\) 546.185
Dual form 546.2.u.a.425.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(-1.18075 - 1.26722i) q^{3} +(0.500000 + 0.866025i) q^{4} +(0.386492 + 0.669424i) q^{5} +(0.388948 + 1.68782i) q^{6} +(0.662023 - 2.56159i) q^{7} -1.00000i q^{8} +(-0.211678 + 2.99252i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(-1.18075 - 1.26722i) q^{3} +(0.500000 + 0.866025i) q^{4} +(0.386492 + 0.669424i) q^{5} +(0.388948 + 1.68782i) q^{6} +(0.662023 - 2.56159i) q^{7} -1.00000i q^{8} +(-0.211678 + 2.99252i) q^{9} -0.772984i q^{10} -2.70245i q^{11} +(0.507069 - 1.65616i) q^{12} +(3.14302 + 1.76675i) q^{13} +(-1.85412 + 1.88739i) q^{14} +(0.391956 - 1.28019i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(1.32378 + 2.29285i) q^{17} +(1.67958 - 2.48576i) q^{18} -4.67151i q^{19} +(-0.386492 + 0.669424i) q^{20} +(-4.02777 + 2.18566i) q^{21} +(-1.35122 + 2.34039i) q^{22} +(-4.66390 - 2.69271i) q^{23} +(-1.26722 + 1.18075i) q^{24} +(2.20125 - 3.81267i) q^{25} +(-1.83856 - 3.10156i) q^{26} +(4.04211 - 3.26517i) q^{27} +(2.54941 - 0.707464i) q^{28} +(4.22905 - 2.44165i) q^{29} +(-0.979539 + 0.912698i) q^{30} +(-3.24180 - 1.87166i) q^{31} +(0.866025 - 0.500000i) q^{32} +(-3.42459 + 3.19090i) q^{33} -2.64755i q^{34} +(1.97065 - 0.546859i) q^{35} +(-2.69744 + 1.31294i) q^{36} +(-2.28416 + 3.95628i) q^{37} +(-2.33575 + 4.04565i) q^{38} +(-1.47225 - 6.06898i) q^{39} +(0.669424 - 0.386492i) q^{40} +(-4.90014 - 8.48729i) q^{41} +(4.58098 + 0.121050i) q^{42} +(-5.66191 + 9.80672i) q^{43} +(2.34039 - 1.35122i) q^{44} +(-2.08508 + 1.01488i) q^{45} +(2.69271 + 4.66390i) q^{46} +(-2.63336 - 4.56112i) q^{47} +(1.68782 - 0.388948i) q^{48} +(-6.12345 - 3.39166i) q^{49} +(-3.81267 + 2.20125i) q^{50} +(1.34249 - 4.38478i) q^{51} +(0.0414579 + 3.60531i) q^{52} +(-3.16257 - 1.82591i) q^{53} +(-5.13316 + 0.806662i) q^{54} +(1.80908 - 1.04447i) q^{55} +(-2.56159 - 0.662023i) q^{56} +(-5.91981 + 5.51587i) q^{57} -4.88329 q^{58} +(-5.61242 - 9.72100i) q^{59} +(1.30465 - 0.300650i) q^{60} -13.0175i q^{61} +(1.87166 + 3.24180i) q^{62} +(7.52547 + 2.52335i) q^{63} -1.00000 q^{64} +(0.0320463 + 2.78685i) q^{65} +(4.56123 - 1.05111i) q^{66} -6.94137 q^{67} +(-1.32378 + 2.29285i) q^{68} +(2.09464 + 9.08958i) q^{69} +(-1.98007 - 0.511734i) q^{70} +(9.71163 + 5.60701i) q^{71} +(2.99252 + 0.211678i) q^{72} +(8.99614 + 5.19392i) q^{73} +(3.95628 - 2.28416i) q^{74} +(-7.43060 + 1.71234i) q^{75} +(4.04565 - 2.33575i) q^{76} +(-6.92255 - 1.78908i) q^{77} +(-1.75948 + 5.99201i) q^{78} +(5.14638 + 8.91380i) q^{79} -0.772984 q^{80} +(-8.91039 - 1.26690i) q^{81} +9.80028i q^{82} +16.3639 q^{83} +(-3.90672 - 2.39532i) q^{84} +(-1.02326 + 1.77234i) q^{85} +(9.80672 - 5.66191i) q^{86} +(-8.08753 - 2.47617i) q^{87} -2.70245 q^{88} +(5.17484 - 8.96309i) q^{89} +(2.31317 + 0.163624i) q^{90} +(6.60644 - 6.88149i) q^{91} -5.38541i q^{92} +(1.45595 + 6.31802i) q^{93} +5.26673i q^{94} +(3.12722 - 1.80550i) q^{95} +(-1.65616 - 0.507069i) q^{96} +(6.86925 + 3.96597i) q^{97} +(3.60723 + 5.99899i) q^{98} +(8.08713 + 0.572048i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 76q + 38q^{4} + 10q^{7} - 8q^{9} + O(q^{10}) \) \( 76q + 38q^{4} + 10q^{7} - 8q^{9} + 2q^{13} + 12q^{15} - 38q^{16} - 8q^{21} - 42q^{25} + 20q^{28} + 20q^{30} + 12q^{31} - 4q^{36} - 6q^{37} + 12q^{39} + 8q^{42} - 2q^{43} - 4q^{46} + 2q^{49} + 10q^{51} - 14q^{52} + 18q^{54} + 24q^{55} + 8q^{57} + 16q^{58} - 12q^{60} + 32q^{63} - 76q^{64} - 24q^{66} + 96q^{67} - 30q^{69} - 54q^{73} - 12q^{75} + 18q^{76} - 12q^{78} - 60q^{79} + 8q^{81} + 8q^{84} + 8q^{85} - 24q^{87} + 48q^{91} + 16q^{93} - 66q^{97} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) −1.18075 1.26722i −0.681704 0.731628i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) 0.386492 + 0.669424i 0.172845 + 0.299376i 0.939413 0.342787i \(-0.111371\pi\)
−0.766569 + 0.642162i \(0.778038\pi\)
\(6\) 0.388948 + 1.68782i 0.158787 + 0.689048i
\(7\) 0.662023 2.56159i 0.250221 0.968189i
\(8\) 1.00000i 0.353553i
\(9\) −0.211678 + 2.99252i −0.0705592 + 0.997508i
\(10\) 0.772984i 0.244439i
\(11\) 2.70245i 0.814818i −0.913246 0.407409i \(-0.866432\pi\)
0.913246 0.407409i \(-0.133568\pi\)
\(12\) 0.507069 1.65616i 0.146378 0.478094i
\(13\) 3.14302 + 1.76675i 0.871717 + 0.490009i
\(14\) −1.85412 + 1.88739i −0.495535 + 0.504425i
\(15\) 0.391956 1.28019i 0.101203 0.330543i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 1.32378 + 2.29285i 0.321063 + 0.556097i 0.980708 0.195480i \(-0.0626265\pi\)
−0.659645 + 0.751578i \(0.729293\pi\)
\(18\) 1.67958 2.48576i 0.395881 0.585900i
\(19\) 4.67151i 1.07172i −0.844308 0.535859i \(-0.819988\pi\)
0.844308 0.535859i \(-0.180012\pi\)
\(20\) −0.386492 + 0.669424i −0.0864223 + 0.149688i
\(21\) −4.02777 + 2.18566i −0.878931 + 0.476949i
\(22\) −1.35122 + 2.34039i −0.288082 + 0.498972i
\(23\) −4.66390 2.69271i −0.972491 0.561468i −0.0724962 0.997369i \(-0.523097\pi\)
−0.899995 + 0.435901i \(0.856430\pi\)
\(24\) −1.26722 + 1.18075i −0.258670 + 0.241019i
\(25\) 2.20125 3.81267i 0.440250 0.762535i
\(26\) −1.83856 3.10156i −0.360571 0.608267i
\(27\) 4.04211 3.26517i 0.777905 0.628382i
\(28\) 2.54941 0.707464i 0.481793 0.133698i
\(29\) 4.22905 2.44165i 0.785316 0.453402i −0.0529953 0.998595i \(-0.516877\pi\)
0.838311 + 0.545193i \(0.183543\pi\)
\(30\) −0.979539 + 0.912698i −0.178839 + 0.166635i
\(31\) −3.24180 1.87166i −0.582245 0.336159i 0.179780 0.983707i \(-0.442461\pi\)
−0.762025 + 0.647547i \(0.775795\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) −3.42459 + 3.19090i −0.596144 + 0.555465i
\(34\) 2.64755i 0.454052i
\(35\) 1.97065 0.546859i 0.333101 0.0924360i
\(36\) −2.69744 + 1.31294i −0.449573 + 0.218824i
\(37\) −2.28416 + 3.95628i −0.375514 + 0.650409i −0.990404 0.138204i \(-0.955867\pi\)
0.614890 + 0.788613i \(0.289200\pi\)
\(38\) −2.33575 + 4.04565i −0.378909 + 0.656290i
\(39\) −1.47225 6.06898i −0.235749 0.971814i
\(40\) 0.669424 0.386492i 0.105845 0.0611098i
\(41\) −4.90014 8.48729i −0.765273 1.32549i −0.940102 0.340894i \(-0.889270\pi\)
0.174829 0.984599i \(-0.444063\pi\)
\(42\) 4.58098 + 0.121050i 0.706860 + 0.0186785i
\(43\) −5.66191 + 9.80672i −0.863434 + 1.49551i 0.00516013 + 0.999987i \(0.498357\pi\)
−0.868594 + 0.495525i \(0.834976\pi\)
\(44\) 2.34039 1.35122i 0.352827 0.203705i
\(45\) −2.08508 + 1.01488i −0.310825 + 0.151290i
\(46\) 2.69271 + 4.66390i 0.397018 + 0.687655i
\(47\) −2.63336 4.56112i −0.384116 0.665308i 0.607530 0.794296i \(-0.292160\pi\)
−0.991646 + 0.128989i \(0.958827\pi\)
\(48\) 1.68782 0.388948i 0.243615 0.0561397i
\(49\) −6.12345 3.39166i −0.874779 0.484523i
\(50\) −3.81267 + 2.20125i −0.539193 + 0.311303i
\(51\) 1.34249 4.38478i 0.187987 0.613993i
\(52\) 0.0414579 + 3.60531i 0.00574918 + 0.499967i
\(53\) −3.16257 1.82591i −0.434413 0.250808i 0.266812 0.963749i \(-0.414030\pi\)
−0.701225 + 0.712940i \(0.747363\pi\)
\(54\) −5.13316 + 0.806662i −0.698534 + 0.109773i
\(55\) 1.80908 1.04447i 0.243937 0.140837i
\(56\) −2.56159 0.662023i −0.342306 0.0884666i
\(57\) −5.91981 + 5.51587i −0.784099 + 0.730594i
\(58\) −4.88329 −0.641207
\(59\) −5.61242 9.72100i −0.730675 1.26557i −0.956595 0.291420i \(-0.905872\pi\)
0.225920 0.974146i \(-0.427461\pi\)
\(60\) 1.30465 0.300650i 0.168430 0.0388138i
\(61\) 13.0175i 1.66672i −0.552731 0.833359i \(-0.686414\pi\)
0.552731 0.833359i \(-0.313586\pi\)
\(62\) 1.87166 + 3.24180i 0.237701 + 0.411710i
\(63\) 7.52547 + 2.52335i 0.948120 + 0.317912i
\(64\) −1.00000 −0.125000
\(65\) 0.0320463 + 2.78685i 0.00397486 + 0.345666i
\(66\) 4.56123 1.05111i 0.561448 0.129383i
\(67\) −6.94137 −0.848023 −0.424011 0.905657i \(-0.639378\pi\)
−0.424011 + 0.905657i \(0.639378\pi\)
\(68\) −1.32378 + 2.29285i −0.160532 + 0.278049i
\(69\) 2.09464 + 9.08958i 0.252165 + 1.09426i
\(70\) −1.98007 0.511734i −0.236663 0.0611639i
\(71\) 9.71163 + 5.60701i 1.15256 + 0.665430i 0.949509 0.313739i \(-0.101582\pi\)
0.203049 + 0.979169i \(0.434915\pi\)
\(72\) 2.99252 + 0.211678i 0.352672 + 0.0249465i
\(73\) 8.99614 + 5.19392i 1.05292 + 0.607903i 0.923465 0.383683i \(-0.125344\pi\)
0.129453 + 0.991586i \(0.458678\pi\)
\(74\) 3.95628 2.28416i 0.459909 0.265528i
\(75\) −7.43060 + 1.71234i −0.858012 + 0.197724i
\(76\) 4.04565 2.33575i 0.464067 0.267929i
\(77\) −6.92255 1.78908i −0.788898 0.203885i
\(78\) −1.75948 + 5.99201i −0.199222 + 0.678462i
\(79\) 5.14638 + 8.91380i 0.579013 + 1.00288i 0.995593 + 0.0937812i \(0.0298954\pi\)
−0.416580 + 0.909099i \(0.636771\pi\)
\(80\) −0.772984 −0.0864223
\(81\) −8.91039 1.26690i −0.990043 0.140767i
\(82\) 9.80028i 1.08226i
\(83\) 16.3639 1.79617 0.898086 0.439820i \(-0.144958\pi\)
0.898086 + 0.439820i \(0.144958\pi\)
\(84\) −3.90672 2.39532i −0.426258 0.261351i
\(85\) −1.02326 + 1.77234i −0.110988 + 0.192237i
\(86\) 9.80672 5.66191i 1.05749 0.610540i
\(87\) −8.08753 2.47617i −0.867075 0.265473i
\(88\) −2.70245 −0.288082
\(89\) 5.17484 8.96309i 0.548532 0.950085i −0.449844 0.893107i \(-0.648520\pi\)
0.998375 0.0569778i \(-0.0181464\pi\)
\(90\) 2.31317 + 0.163624i 0.243830 + 0.0172474i
\(91\) 6.60644 6.88149i 0.692543 0.721376i
\(92\) 5.38541i 0.561468i
\(93\) 1.45595 + 6.31802i 0.150975 + 0.655148i
\(94\) 5.26673i 0.543221i
\(95\) 3.12722 1.80550i 0.320846 0.185241i
\(96\) −1.65616 0.507069i −0.169032 0.0517525i
\(97\) 6.86925 + 3.96597i 0.697467 + 0.402683i 0.806403 0.591366i \(-0.201411\pi\)
−0.108936 + 0.994049i \(0.534744\pi\)
\(98\) 3.60723 + 5.99899i 0.364386 + 0.605989i
\(99\) 8.08713 + 0.572048i 0.812787 + 0.0574929i
\(100\) 4.40250 0.440250
\(101\) −10.1670 −1.01165 −0.505825 0.862636i \(-0.668812\pi\)
−0.505825 + 0.862636i \(0.668812\pi\)
\(102\) −3.35502 + 3.12609i −0.332197 + 0.309529i
\(103\) 8.01582 4.62793i 0.789822 0.456004i −0.0500780 0.998745i \(-0.515947\pi\)
0.839900 + 0.542741i \(0.182614\pi\)
\(104\) 1.76675 3.14302i 0.173244 0.308199i
\(105\) −3.01983 1.85155i −0.294705 0.180692i
\(106\) 1.82591 + 3.16257i 0.177348 + 0.307176i
\(107\) −1.04934 0.605838i −0.101444 0.0585686i 0.448420 0.893823i \(-0.351987\pi\)
−0.549864 + 0.835254i \(0.685320\pi\)
\(108\) 4.84877 + 1.86799i 0.466574 + 0.179747i
\(109\) −3.83041 + 6.63447i −0.366887 + 0.635467i −0.989077 0.147400i \(-0.952910\pi\)
0.622190 + 0.782866i \(0.286243\pi\)
\(110\) −2.08895 −0.199173
\(111\) 7.71048 1.77684i 0.731847 0.168650i
\(112\) 1.88739 + 1.85412i 0.178341 + 0.175198i
\(113\) 8.89202 + 5.13381i 0.836491 + 0.482948i 0.856070 0.516860i \(-0.172899\pi\)
−0.0195790 + 0.999808i \(0.506233\pi\)
\(114\) 7.88464 1.81697i 0.738464 0.170175i
\(115\) 4.16284i 0.388187i
\(116\) 4.22905 + 2.44165i 0.392658 + 0.226701i
\(117\) −5.95236 + 9.03158i −0.550295 + 0.834970i
\(118\) 11.2248i 1.03333i
\(119\) 6.74970 1.87305i 0.618744 0.171702i
\(120\) −1.28019 0.391956i −0.116865 0.0357806i
\(121\) 3.69679 0.336071
\(122\) −6.50875 + 11.2735i −0.589274 + 1.02065i
\(123\) −4.96942 + 16.2309i −0.448077 + 1.46349i
\(124\) 3.74331i 0.336159i
\(125\) 7.26798 0.650068
\(126\) −5.25557 5.94802i −0.468204 0.529892i
\(127\) −3.63055 6.28830i −0.322159 0.557996i 0.658774 0.752341i \(-0.271075\pi\)
−0.980933 + 0.194345i \(0.937742\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) 19.1125 4.40438i 1.68276 0.387784i
\(130\) 1.36567 2.42951i 0.119777 0.213082i
\(131\) 5.48186 + 9.49487i 0.478953 + 0.829570i 0.999709 0.0241352i \(-0.00768323\pi\)
−0.520756 + 0.853706i \(0.674350\pi\)
\(132\) −4.47570 1.37033i −0.389559 0.119272i
\(133\) −11.9665 3.09265i −1.03762 0.268167i
\(134\) 6.01140 + 3.47068i 0.519306 + 0.299821i
\(135\) 3.74803 + 1.44393i 0.322579 + 0.124273i
\(136\) 2.29285 1.32378i 0.196610 0.113513i
\(137\) 4.31921 2.49370i 0.369015 0.213051i −0.304013 0.952668i \(-0.598327\pi\)
0.673028 + 0.739617i \(0.264993\pi\)
\(138\) 2.73078 8.91913i 0.232459 0.759246i
\(139\) −0.244965 0.141431i −0.0207777 0.0119960i 0.489575 0.871961i \(-0.337152\pi\)
−0.510353 + 0.859965i \(0.670485\pi\)
\(140\) 1.45892 + 1.43321i 0.123301 + 0.121128i
\(141\) −2.67059 + 8.72257i −0.224905 + 0.734573i
\(142\) −5.60701 9.71163i −0.470530 0.814982i
\(143\) 4.77455 8.49385i 0.399268 0.710291i
\(144\) −2.48576 1.67958i −0.207147 0.139965i
\(145\) 3.26899 + 1.88735i 0.271475 + 0.156736i
\(146\) −5.19392 8.99614i −0.429852 0.744525i
\(147\) 2.93227 + 11.7644i 0.241850 + 0.970314i
\(148\) −4.56832 −0.375514
\(149\) 0.399655i 0.0327410i −0.999866 0.0163705i \(-0.994789\pi\)
0.999866 0.0163705i \(-0.00521113\pi\)
\(150\) 7.29126 + 2.23237i 0.595329 + 0.182272i
\(151\) 3.60132 6.23766i 0.293071 0.507614i −0.681463 0.731852i \(-0.738656\pi\)
0.974534 + 0.224238i \(0.0719894\pi\)
\(152\) −4.67151 −0.378909
\(153\) −7.14162 + 3.47609i −0.577365 + 0.281025i
\(154\) 5.10056 + 5.01067i 0.411015 + 0.403771i
\(155\) 2.89352i 0.232413i
\(156\) 4.51976 4.30950i 0.361871 0.345036i
\(157\) −10.4752 6.04786i −0.836012 0.482672i 0.0198945 0.999802i \(-0.493667\pi\)
−0.855907 + 0.517130i \(0.827000\pi\)
\(158\) 10.2928i 0.818848i
\(159\) 1.42037 + 6.16360i 0.112643 + 0.488806i
\(160\) 0.669424 + 0.386492i 0.0529226 + 0.0305549i
\(161\) −9.98521 + 10.1644i −0.786945 + 0.801063i
\(162\) 7.08317 + 5.55236i 0.556506 + 0.436235i
\(163\) −9.44469 −0.739765 −0.369883 0.929079i \(-0.620602\pi\)
−0.369883 + 0.929079i \(0.620602\pi\)
\(164\) 4.90014 8.48729i 0.382637 0.662746i
\(165\) −3.45964 1.05924i −0.269333 0.0824618i
\(166\) −14.1716 8.18195i −1.09993 0.635043i
\(167\) 9.42868 + 16.3310i 0.729614 + 1.26373i 0.957047 + 0.289934i \(0.0936333\pi\)
−0.227433 + 0.973794i \(0.573033\pi\)
\(168\) 2.18566 + 4.02777i 0.168627 + 0.310749i
\(169\) 6.75717 + 11.1059i 0.519782 + 0.854299i
\(170\) 1.77234 1.02326i 0.135932 0.0784804i
\(171\) 13.9796 + 0.988854i 1.06905 + 0.0756196i
\(172\) −11.3238 −0.863434
\(173\) −12.0181 −0.913722 −0.456861 0.889538i \(-0.651026\pi\)
−0.456861 + 0.889538i \(0.651026\pi\)
\(174\) 5.76593 + 6.18819i 0.437114 + 0.469125i
\(175\) −8.30921 8.16276i −0.628117 0.617047i
\(176\) 2.34039 + 1.35122i 0.176413 + 0.101852i
\(177\) −5.69177 + 18.5902i −0.427820 + 1.39732i
\(178\) −8.96309 + 5.17484i −0.671812 + 0.387871i
\(179\) 13.6960i 1.02369i 0.859078 + 0.511844i \(0.171038\pi\)
−0.859078 + 0.511844i \(0.828962\pi\)
\(180\) −1.92146 1.29829i −0.143217 0.0967687i
\(181\) 13.0400i 0.969257i 0.874720 + 0.484628i \(0.161045\pi\)
−0.874720 + 0.484628i \(0.838955\pi\)
\(182\) −9.16209 + 2.65632i −0.679140 + 0.196900i
\(183\) −16.4960 + 15.3704i −1.21942 + 1.13621i
\(184\) −2.69271 + 4.66390i −0.198509 + 0.343827i
\(185\) −3.53124 −0.259622
\(186\) 1.89812 6.19954i 0.139177 0.454572i
\(187\) 6.19630 3.57744i 0.453118 0.261608i
\(188\) 2.63336 4.56112i 0.192058 0.332654i
\(189\) −5.68804 12.5158i −0.413744 0.910393i
\(190\) −3.61100 −0.261970
\(191\) 1.94038i 0.140401i 0.997533 + 0.0702005i \(0.0223639\pi\)
−0.997533 + 0.0702005i \(0.977636\pi\)
\(192\) 1.18075 + 1.26722i 0.0852130 + 0.0914535i
\(193\) 10.0456 0.723095 0.361548 0.932354i \(-0.382249\pi\)
0.361548 + 0.932354i \(0.382249\pi\)
\(194\) −3.96597 6.86925i −0.284740 0.493184i
\(195\) 3.49371 3.33117i 0.250189 0.238550i
\(196\) −0.124461 6.99889i −0.00889008 0.499921i
\(197\) −2.55609 + 1.47576i −0.182114 + 0.105143i −0.588285 0.808653i \(-0.700197\pi\)
0.406172 + 0.913797i \(0.366863\pi\)
\(198\) −6.71764 4.53897i −0.477402 0.322571i
\(199\) 2.42516 1.40017i 0.171915 0.0992553i −0.411573 0.911377i \(-0.635021\pi\)
0.583489 + 0.812121i \(0.301687\pi\)
\(200\) −3.81267 2.20125i −0.269597 0.155652i
\(201\) 8.19599 + 8.79622i 0.578100 + 0.620437i
\(202\) 8.80484 + 5.08348i 0.619507 + 0.357672i
\(203\) −3.45475 12.4495i −0.242476 0.873784i
\(204\) 4.46858 1.02976i 0.312863 0.0720976i
\(205\) 3.78773 6.56054i 0.264547 0.458208i
\(206\) −9.25587 −0.644887
\(207\) 9.04523 13.3868i 0.628687 0.930450i
\(208\) −3.10156 + 1.83856i −0.215055 + 0.127481i
\(209\) −12.6245 −0.873255
\(210\) 1.68948 + 3.11340i 0.116585 + 0.214845i
\(211\) −6.57341 11.3855i −0.452532 0.783809i 0.546010 0.837778i \(-0.316146\pi\)
−0.998543 + 0.0539696i \(0.982813\pi\)
\(212\) 3.65182i 0.250808i
\(213\) −4.36167 18.9272i −0.298856 1.29687i
\(214\) 0.605838 + 1.04934i 0.0414142 + 0.0717315i
\(215\) −8.75314 −0.596959
\(216\) −3.26517 4.04211i −0.222167 0.275031i
\(217\) −6.94056 + 7.06508i −0.471156 + 0.479609i
\(218\) 6.63447 3.83041i 0.449343 0.259428i
\(219\) −4.04033 17.5328i −0.273020 1.18475i
\(220\) 1.80908 + 1.04447i 0.121968 + 0.0704184i
\(221\) 0.109762 + 9.54526i 0.00738340 + 0.642084i
\(222\) −7.56589 2.31646i −0.507790 0.155470i
\(223\) 2.33020 1.34534i 0.156042 0.0900908i −0.419946 0.907549i \(-0.637951\pi\)
0.575988 + 0.817458i \(0.304618\pi\)
\(224\) −0.707464 2.54941i −0.0472694 0.170340i
\(225\) 10.9436 + 7.39434i 0.729570 + 0.492956i
\(226\) −5.13381 8.89202i −0.341496 0.591488i
\(227\) −2.64013 4.57284i −0.175232 0.303510i 0.765010 0.644019i \(-0.222734\pi\)
−0.940241 + 0.340509i \(0.889401\pi\)
\(228\) −7.73679 2.36878i −0.512381 0.156876i
\(229\) 22.9130 13.2288i 1.51414 0.874187i 0.514273 0.857626i \(-0.328062\pi\)
0.999863 0.0165604i \(-0.00527159\pi\)
\(230\) −2.08142 + 3.60512i −0.137245 + 0.237715i
\(231\) 5.90662 + 10.8848i 0.388627 + 0.716169i
\(232\) −2.44165 4.22905i −0.160302 0.277651i
\(233\) 3.01825 1.74259i 0.197732 0.114161i −0.397865 0.917444i \(-0.630249\pi\)
0.595597 + 0.803283i \(0.296915\pi\)
\(234\) 9.67068 4.84540i 0.632192 0.316754i
\(235\) 2.03555 3.52567i 0.132785 0.229990i
\(236\) 5.61242 9.72100i 0.365337 0.632783i
\(237\) 5.21914 17.0465i 0.339020 1.10729i
\(238\) −6.78194 1.75274i −0.439608 0.113613i
\(239\) 11.0001i 0.711539i 0.934574 + 0.355769i \(0.115781\pi\)
−0.934574 + 0.355769i \(0.884219\pi\)
\(240\) 0.912698 + 0.979539i 0.0589144 + 0.0632290i
\(241\) 2.00211 1.15592i 0.128967 0.0744594i −0.434128 0.900851i \(-0.642944\pi\)
0.563096 + 0.826392i \(0.309610\pi\)
\(242\) −3.20151 1.84839i −0.205801 0.118819i
\(243\) 8.91546 + 12.7873i 0.571927 + 0.820304i
\(244\) 11.2735 6.50875i 0.721710 0.416680i
\(245\) −0.0962065 5.41004i −0.00614641 0.345634i
\(246\) 12.4191 11.5716i 0.791812 0.737781i
\(247\) 8.25340 14.6827i 0.525151 0.934235i
\(248\) −1.87166 + 3.24180i −0.118850 + 0.205855i
\(249\) −19.3216 20.7366i −1.22446 1.31413i
\(250\) −6.29426 3.63399i −0.398084 0.229834i
\(251\) 4.19795 7.27107i 0.264973 0.458946i −0.702584 0.711601i \(-0.747970\pi\)
0.967556 + 0.252655i \(0.0813038\pi\)
\(252\) 1.57745 + 7.77892i 0.0993700 + 0.490026i
\(253\) −7.27689 + 12.6039i −0.457494 + 0.792403i
\(254\) 7.26110i 0.455602i
\(255\) 3.45414 0.795988i 0.216307 0.0498467i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −12.3210 + 21.3406i −0.768564 + 1.33119i 0.169778 + 0.985482i \(0.445695\pi\)
−0.938342 + 0.345709i \(0.887638\pi\)
\(258\) −18.7541 5.74196i −1.16758 0.357479i
\(259\) 8.62219 + 8.47023i 0.535757 + 0.526314i
\(260\) −2.39746 + 1.42118i −0.148684 + 0.0881377i
\(261\) 6.41148 + 13.1724i 0.396861 + 0.815350i
\(262\) 10.9637i 0.677341i
\(263\) 22.8097i 1.40651i 0.710939 + 0.703254i \(0.248270\pi\)
−0.710939 + 0.703254i \(0.751730\pi\)
\(264\) 3.19090 + 3.42459i 0.196386 + 0.210769i
\(265\) 2.82280i 0.173403i
\(266\) 8.81695 + 8.66155i 0.540602 + 0.531074i
\(267\) −17.4683 + 4.02548i −1.06905 + 0.246356i
\(268\) −3.47068 6.01140i −0.212006 0.367205i
\(269\) −0.914446 1.58387i −0.0557548 0.0965701i 0.836801 0.547507i \(-0.184423\pi\)
−0.892556 + 0.450937i \(0.851090\pi\)
\(270\) −2.52392 3.12449i −0.153601 0.190150i
\(271\) 6.32104 + 3.64945i 0.383976 + 0.221689i 0.679547 0.733632i \(-0.262176\pi\)
−0.295571 + 0.955321i \(0.595510\pi\)
\(272\) −2.64755 −0.160532
\(273\) −16.5209 0.246506i −0.999889 0.0149192i
\(274\) −4.98739 −0.301299
\(275\) −10.3035 5.94875i −0.621327 0.358723i
\(276\) −6.82448 + 6.35880i −0.410786 + 0.382755i
\(277\) 8.45914 + 14.6517i 0.508260 + 0.880333i 0.999954 + 0.00956470i \(0.00304459\pi\)
−0.491694 + 0.870768i \(0.663622\pi\)
\(278\) 0.141431 + 0.244965i 0.00848244 + 0.0146920i
\(279\) 6.28719 9.30498i 0.376404 0.557075i
\(280\) −0.546859 1.97065i −0.0326811 0.117769i
\(281\) 31.6214i 1.88637i −0.332263 0.943187i \(-0.607812\pi\)
0.332263 0.943187i \(-0.392188\pi\)
\(282\) 6.67409 6.21867i 0.397436 0.370316i
\(283\) 0.682132i 0.0405485i 0.999794 + 0.0202743i \(0.00645394\pi\)
−0.999794 + 0.0202743i \(0.993546\pi\)
\(284\) 11.2140i 0.665430i
\(285\) −5.98042 1.83103i −0.354249 0.108461i
\(286\) −8.38181 + 4.96861i −0.495627 + 0.293800i
\(287\) −24.9849 + 6.93335i −1.47481 + 0.409263i
\(288\) 1.31294 + 2.69744i 0.0773659 + 0.158948i
\(289\) 4.99523 8.65199i 0.293837 0.508941i
\(290\) −1.88735 3.26899i −0.110829 0.191962i
\(291\) −3.08511 13.3876i −0.180852 0.784797i
\(292\) 10.3878i 0.607903i
\(293\) 3.90007 6.75511i 0.227844 0.394638i −0.729325 0.684168i \(-0.760166\pi\)
0.957169 + 0.289530i \(0.0934989\pi\)
\(294\) 3.34279 11.6544i 0.194956 0.679700i
\(295\) 4.33831 7.51418i 0.252586 0.437492i
\(296\) 3.95628 + 2.28416i 0.229954 + 0.132764i
\(297\) −8.82394 10.9236i −0.512017 0.633851i
\(298\) −0.199827 + 0.346111i −0.0115757 + 0.0200497i
\(299\) −9.90140 16.7032i −0.572613 0.965971i
\(300\) −5.19823 5.57892i −0.300120 0.322099i
\(301\) 21.3724 + 20.9958i 1.23189 + 1.21018i
\(302\) −6.23766 + 3.60132i −0.358937 + 0.207233i
\(303\) 12.0046 + 12.8837i 0.689646 + 0.740152i
\(304\) 4.04565 + 2.33575i 0.232034 + 0.133965i
\(305\) 8.71422 5.03116i 0.498975 0.288083i
\(306\) 7.92286 + 0.560428i 0.452920 + 0.0320375i
\(307\) 1.62307i 0.0926335i −0.998927 0.0463167i \(-0.985252\pi\)
0.998927 0.0463167i \(-0.0147484\pi\)
\(308\) −1.91188 6.88964i −0.108940 0.392574i
\(309\) −15.3292 4.69336i −0.872050 0.266996i
\(310\) −1.44676 + 2.50586i −0.0821705 + 0.142324i
\(311\) −15.1988 + 26.3252i −0.861847 + 1.49276i 0.00829636 + 0.999966i \(0.497359\pi\)
−0.870144 + 0.492798i \(0.835974\pi\)
\(312\) −6.06898 + 1.47225i −0.343588 + 0.0833498i
\(313\) 4.29992 2.48256i 0.243046 0.140323i −0.373530 0.927618i \(-0.621853\pi\)
0.616576 + 0.787296i \(0.288519\pi\)
\(314\) 6.04786 + 10.4752i 0.341301 + 0.591150i
\(315\) 1.21934 + 6.01299i 0.0687022 + 0.338793i
\(316\) −5.14638 + 8.91380i −0.289507 + 0.501440i
\(317\) −11.5891 + 6.69094i −0.650906 + 0.375801i −0.788803 0.614646i \(-0.789299\pi\)
0.137897 + 0.990447i \(0.455966\pi\)
\(318\) 1.85173 6.04802i 0.103840 0.339156i
\(319\) −6.59841 11.4288i −0.369440 0.639889i
\(320\) −0.386492 0.669424i −0.0216056 0.0374219i
\(321\) 0.471278 + 2.04508i 0.0263042 + 0.114145i
\(322\) 13.7296 3.80998i 0.765122 0.212322i
\(323\) 10.7111 6.18403i 0.595979 0.344089i
\(324\) −3.35802 8.35007i −0.186557 0.463893i
\(325\) 13.6546 8.09425i 0.757422 0.448988i
\(326\) 8.17934 + 4.72234i 0.453012 + 0.261546i
\(327\) 12.9300 2.97966i 0.715033 0.164775i
\(328\) −8.48729 + 4.90014i −0.468632 + 0.270565i
\(329\) −13.4271 + 3.72602i −0.740257 + 0.205422i
\(330\) 2.46652 + 2.64715i 0.135777 + 0.145721i
\(331\) −29.5150 −1.62229 −0.811145 0.584845i \(-0.801155\pi\)
−0.811145 + 0.584845i \(0.801155\pi\)
\(332\) 8.18195 + 14.1716i 0.449043 + 0.777765i
\(333\) −11.3558 7.67286i −0.622292 0.420470i
\(334\) 18.8574i 1.03183i
\(335\) −2.68278 4.64672i −0.146576 0.253877i
\(336\) 0.121050 4.58098i 0.00660383 0.249913i
\(337\) −30.1118 −1.64030 −0.820148 0.572152i \(-0.806109\pi\)
−0.820148 + 0.572152i \(0.806109\pi\)
\(338\) −0.298938 12.9966i −0.0162601 0.706920i
\(339\) −3.99357 17.3298i −0.216901 0.941228i
\(340\) −2.04652 −0.110988
\(341\) −5.05805 + 8.76080i −0.273909 + 0.474424i
\(342\) −11.6123 7.84617i −0.627919 0.424272i
\(343\) −12.7419 + 13.4404i −0.687998 + 0.725713i
\(344\) 9.80672 + 5.66191i 0.528743 + 0.305270i
\(345\) −5.27522 + 4.91525i −0.284008 + 0.264628i
\(346\) 10.4080 + 6.00907i 0.559538 + 0.323050i
\(347\) −11.6548 + 6.72891i −0.625663 + 0.361227i −0.779070 0.626936i \(-0.784309\pi\)
0.153408 + 0.988163i \(0.450975\pi\)
\(348\) −1.89934 8.24209i −0.101816 0.441822i
\(349\) −8.96543 + 5.17619i −0.479908 + 0.277075i −0.720378 0.693581i \(-0.756032\pi\)
0.240470 + 0.970657i \(0.422698\pi\)
\(350\) 3.11461 + 11.2238i 0.166483 + 0.599936i
\(351\) 18.4732 3.12108i 0.986026 0.166591i
\(352\) −1.35122 2.34039i −0.0720204 0.124743i
\(353\) 29.9025 1.59155 0.795775 0.605593i \(-0.207064\pi\)
0.795775 + 0.605593i \(0.207064\pi\)
\(354\) 14.2243 13.2537i 0.756013 0.704425i
\(355\) 8.66826i 0.460064i
\(356\) 10.3497 0.548532
\(357\) −10.3432 6.34174i −0.547422 0.335640i
\(358\) 6.84801 11.8611i 0.361929 0.626879i
\(359\) 5.15529 2.97641i 0.272086 0.157089i −0.357749 0.933818i \(-0.616456\pi\)
0.629835 + 0.776729i \(0.283122\pi\)
\(360\) 1.01488 + 2.08508i 0.0534891 + 0.109893i
\(361\) −2.82299 −0.148579
\(362\) 6.52001 11.2930i 0.342684 0.593546i
\(363\) −4.36497 4.68463i −0.229101 0.245879i
\(364\) 9.26277 + 2.28060i 0.485501 + 0.119536i
\(365\) 8.02964i 0.420291i
\(366\) 21.9711 5.06312i 1.14845 0.264654i
\(367\) 17.0616i 0.890607i −0.895380 0.445303i \(-0.853096\pi\)
0.895380 0.445303i \(-0.146904\pi\)
\(368\) 4.66390 2.69271i 0.243123 0.140367i
\(369\) 26.4357 12.8672i 1.37619 0.669840i
\(370\) 3.05815 + 1.76562i 0.158985 + 0.0917903i
\(371\) −6.77093 + 6.89241i −0.351529 + 0.357836i
\(372\) −4.74359 + 4.41990i −0.245944 + 0.229161i
\(373\) 23.6660 1.22538 0.612690 0.790324i \(-0.290088\pi\)
0.612690 + 0.790324i \(0.290088\pi\)
\(374\) −7.15487 −0.369970
\(375\) −8.58164 9.21011i −0.443154 0.475608i
\(376\) −4.56112 + 2.63336i −0.235222 + 0.135805i
\(377\) 17.6058 0.202451i 0.906744 0.0104268i
\(378\) −1.33194 + 13.6831i −0.0685074 + 0.703780i
\(379\) 13.2966 + 23.0303i 0.682998 + 1.18299i 0.974061 + 0.226284i \(0.0726576\pi\)
−0.291063 + 0.956704i \(0.594009\pi\)
\(380\) 3.12722 + 1.80550i 0.160423 + 0.0926203i
\(381\) −3.68188 + 12.0256i −0.188628 + 0.616089i
\(382\) 0.970190 1.68042i 0.0496392 0.0859777i
\(383\) 15.6354 0.798929 0.399465 0.916749i \(-0.369196\pi\)
0.399465 + 0.916749i \(0.369196\pi\)
\(384\) −0.388948 1.68782i −0.0198484 0.0861310i
\(385\) −1.47786 5.32559i −0.0753185 0.271417i
\(386\) −8.69971 5.02278i −0.442804 0.255653i
\(387\) −28.1483 19.0193i −1.43086 0.966804i
\(388\) 7.93193i 0.402683i
\(389\) −4.64668 2.68276i −0.235596 0.136021i 0.377555 0.925987i \(-0.376765\pi\)
−0.613151 + 0.789966i \(0.710098\pi\)
\(390\) −4.69122 + 1.13803i −0.237549 + 0.0576262i
\(391\) 14.2582i 0.721066i
\(392\) −3.39166 + 6.12345i −0.171305 + 0.309281i
\(393\) 5.55937 18.1577i 0.280433 0.915937i
\(394\) 2.95151 0.148695
\(395\) −3.97807 + 6.89023i −0.200159 + 0.346685i
\(396\) 3.54816 + 7.28968i 0.178302 + 0.366320i
\(397\) 5.81650i 0.291922i −0.989290 0.145961i \(-0.953373\pi\)
0.989290 0.145961i \(-0.0466273\pi\)
\(398\) −2.80034 −0.140368
\(399\) 10.2103 + 18.8157i 0.511155 + 0.941966i
\(400\) 2.20125 + 3.81267i 0.110062 + 0.190634i
\(401\) 7.52248 + 4.34311i 0.375655 + 0.216884i 0.675926 0.736969i \(-0.263744\pi\)
−0.300271 + 0.953854i \(0.597077\pi\)
\(402\) −2.69983 11.7157i −0.134655 0.584328i
\(403\) −6.88231 11.6101i −0.342832 0.578341i
\(404\) −5.08348 8.80484i −0.252913 0.438057i
\(405\) −2.59570 6.45447i −0.128981 0.320725i
\(406\) −3.23285 + 12.5090i −0.160444 + 0.620810i
\(407\) 10.6916 + 6.17282i 0.529965 + 0.305975i
\(408\) −4.38478 1.34249i −0.217079 0.0664633i
\(409\) 8.71787 5.03326i 0.431071 0.248879i −0.268732 0.963215i \(-0.586605\pi\)
0.699803 + 0.714336i \(0.253271\pi\)
\(410\) −6.56054 + 3.78773i −0.324002 + 0.187063i
\(411\) −8.25994 2.52895i −0.407433 0.124744i
\(412\) 8.01582 + 4.62793i 0.394911 + 0.228002i
\(413\) −28.6167 + 7.94117i −1.40814 + 0.390759i
\(414\) −14.5268 + 7.07074i −0.713954 + 0.347508i
\(415\) 6.32452 + 10.9544i 0.310458 + 0.537730i
\(416\) 3.60531 0.0414579i 0.176765 0.00203264i
\(417\) 0.110018 + 0.477417i 0.00538761 + 0.0233792i
\(418\) 10.9331 + 6.31225i 0.534757 + 0.308742i
\(419\) 6.88362 + 11.9228i 0.336287 + 0.582466i 0.983731 0.179647i \(-0.0574955\pi\)
−0.647444 + 0.762113i \(0.724162\pi\)
\(420\) 0.0935700 3.54102i 0.00456575 0.172784i
\(421\) 5.26092 0.256402 0.128201 0.991748i \(-0.459080\pi\)
0.128201 + 0.991748i \(0.459080\pi\)
\(422\) 13.1468i 0.639977i
\(423\) 14.2067 6.91491i 0.690752 0.336215i
\(424\) −1.82591 + 3.16257i −0.0886741 + 0.153588i
\(425\) 11.6558 0.565391
\(426\) −5.68628 + 18.5723i −0.275501 + 0.899829i
\(427\) −33.3454 8.61788i −1.61370 0.417049i
\(428\) 1.21168i 0.0585686i
\(429\) −16.4011 + 3.97868i −0.791852 + 0.192092i
\(430\) 7.58044 + 4.37657i 0.365561 + 0.211057i
\(431\) 22.0983i 1.06444i 0.846606 + 0.532220i \(0.178642\pi\)
−0.846606 + 0.532220i \(0.821358\pi\)
\(432\) 0.806662 + 5.13316i 0.0388105 + 0.246969i
\(433\) 0.698470 + 0.403262i 0.0335663 + 0.0193795i 0.516689 0.856173i \(-0.327164\pi\)
−0.483123 + 0.875553i \(0.660498\pi\)
\(434\) 9.54324 2.64826i 0.458090 0.127121i
\(435\) −1.46816 6.37101i −0.0703930 0.305466i
\(436\) −7.66082 −0.366887
\(437\) −12.5790 + 21.7875i −0.601735 + 1.04224i
\(438\) −5.26735 + 17.2040i −0.251684 + 0.822038i
\(439\) −19.1502 11.0564i −0.913987 0.527691i −0.0322754 0.999479i \(-0.510275\pi\)
−0.881712 + 0.471788i \(0.843609\pi\)
\(440\) −1.04447 1.80908i −0.0497934 0.0862446i
\(441\) 11.4458 17.6066i 0.545039 0.838411i
\(442\) 4.67757 8.32132i 0.222489 0.395805i
\(443\) 22.9597 13.2558i 1.09085 0.629800i 0.157044 0.987592i \(-0.449803\pi\)
0.933802 + 0.357791i \(0.116470\pi\)
\(444\) 5.39403 + 5.78906i 0.255989 + 0.274736i
\(445\) 8.00014 0.379243
\(446\) −2.69068 −0.127408
\(447\) −0.506450 + 0.471891i −0.0239542 + 0.0223197i
\(448\) −0.662023 + 2.56159i −0.0312777 + 0.121024i
\(449\) −32.5645 18.8011i −1.53681 0.887279i −0.999023 0.0441993i \(-0.985926\pi\)
−0.537789 0.843079i \(-0.680740\pi\)
\(450\) −5.78023 11.8755i −0.272482 0.559815i
\(451\) −22.9364 + 13.2424i −1.08004 + 0.623559i
\(452\) 10.2676i 0.482948i
\(453\) −12.1567 + 2.80145i −0.571172 + 0.131623i
\(454\) 5.28026i 0.247815i
\(455\) 7.15997 + 1.76287i 0.335665 + 0.0826447i
\(456\) 5.51587 + 5.91981i 0.258304 + 0.277221i
\(457\) −9.55304 + 16.5464i −0.446873 + 0.774006i −0.998181 0.0602958i \(-0.980796\pi\)
0.551308 + 0.834302i \(0.314129\pi\)
\(458\) −26.4577 −1.23629
\(459\) 12.8374 + 4.94560i 0.599198 + 0.230841i
\(460\) 3.60512 2.08142i 0.168090 0.0970467i
\(461\) −2.14345 + 3.71257i −0.0998306 + 0.172912i −0.911614 0.411046i \(-0.865163\pi\)
0.811784 + 0.583958i \(0.198497\pi\)
\(462\) 0.327132 12.3798i 0.0152195 0.575962i
\(463\) 30.5605 1.42027 0.710134 0.704066i \(-0.248634\pi\)
0.710134 + 0.704066i \(0.248634\pi\)
\(464\) 4.88329i 0.226701i
\(465\) −3.66672 + 3.41652i −0.170040 + 0.158437i
\(466\) −3.48518 −0.161448
\(467\) 9.65321 + 16.7199i 0.446697 + 0.773703i 0.998169 0.0604912i \(-0.0192667\pi\)
−0.551471 + 0.834194i \(0.685933\pi\)
\(468\) −10.7978 0.639100i −0.499126 0.0295424i
\(469\) −4.59535 + 17.7809i −0.212193 + 0.821046i
\(470\) −3.52567 + 2.03555i −0.162627 + 0.0938929i
\(471\) 4.70460 + 20.4153i 0.216777 + 0.940689i
\(472\) −9.72100 + 5.61242i −0.447445 + 0.258333i
\(473\) 26.5021 + 15.3010i 1.21857 + 0.703541i
\(474\) −13.0432 + 12.1531i −0.599093 + 0.558212i
\(475\) −17.8109 10.2831i −0.817222 0.471823i
\(476\) 4.99696 + 4.90889i 0.229035 + 0.224999i
\(477\) 6.13353 9.07756i 0.280835 0.415633i
\(478\) 5.50006 9.52638i 0.251567 0.435727i
\(479\) 37.6069 1.71830 0.859152 0.511720i \(-0.170991\pi\)
0.859152 + 0.511720i \(0.170991\pi\)
\(480\) −0.300650 1.30465i −0.0137228 0.0595491i
\(481\) −14.1689 + 8.39914i −0.646048 + 0.382968i
\(482\) −2.31184 −0.105302
\(483\) 24.6704 + 0.651905i 1.12254 + 0.0296627i
\(484\) 1.84839 + 3.20151i 0.0840179 + 0.145523i
\(485\) 6.13126i 0.278406i
\(486\) −1.32738 15.5318i −0.0602111 0.704539i
\(487\) 17.5209 + 30.3471i 0.793948 + 1.37516i 0.923505 + 0.383586i \(0.125311\pi\)
−0.129558 + 0.991572i \(0.541356\pi\)
\(488\) −13.0175 −0.589274
\(489\) 11.1518 + 11.9685i 0.504301 + 0.541233i
\(490\) −2.62170 + 4.73333i −0.118436 + 0.213830i
\(491\) 21.2054 12.2429i 0.956985 0.552516i 0.0617415 0.998092i \(-0.480335\pi\)
0.895244 + 0.445576i \(0.147001\pi\)
\(492\) −16.5411 + 3.81180i −0.745729 + 0.171849i
\(493\) 11.1966 + 6.46439i 0.504272 + 0.291141i
\(494\) −14.4890 + 8.58885i −0.651890 + 0.386431i
\(495\) 2.74267 + 5.63481i 0.123274 + 0.253266i
\(496\) 3.24180 1.87166i 0.145561 0.0840399i
\(497\) 20.7922 21.1652i 0.932656 0.949389i
\(498\) 6.36470 + 27.6192i 0.285209 + 1.23765i
\(499\) 9.94836 + 17.2311i 0.445350 + 0.771368i 0.998077 0.0619941i \(-0.0197460\pi\)
−0.552727 + 0.833363i \(0.686413\pi\)
\(500\) 3.63399 + 6.29426i 0.162517 + 0.281488i
\(501\) 9.56199 31.2309i 0.427198 1.39529i
\(502\) −7.27107 + 4.19795i −0.324524 + 0.187364i
\(503\) 5.22211 9.04495i 0.232842 0.403295i −0.725801 0.687905i \(-0.758531\pi\)
0.958643 + 0.284610i \(0.0918641\pi\)
\(504\) 2.52335 7.52547i 0.112399 0.335211i
\(505\) −3.92945 6.80601i −0.174858 0.302863i
\(506\) 12.6039 7.27689i 0.560314 0.323497i
\(507\) 6.09506 21.6760i 0.270691 0.962666i
\(508\) 3.63055 6.28830i 0.161080 0.278998i
\(509\) 0.749658 1.29845i 0.0332280 0.0575526i −0.848933 0.528500i \(-0.822755\pi\)
0.882161 + 0.470948i \(0.156088\pi\)
\(510\) −3.38937 1.03773i −0.150084 0.0459513i
\(511\) 19.2603 19.6059i 0.852027 0.867313i
\(512\) 1.00000i 0.0441942i
\(513\) −15.2533 18.8828i −0.673448 0.833695i
\(514\) 21.3406 12.3210i 0.941295 0.543457i
\(515\) 6.19610 + 3.57732i 0.273033 + 0.157636i
\(516\) 13.3706 + 14.3497i 0.588606 + 0.631712i
\(517\) −12.3262 + 7.11652i −0.542105 + 0.312984i
\(518\) −3.23192 11.6465i −0.142003 0.511719i
\(519\) 14.1904 + 15.2296i 0.622888 + 0.668505i
\(520\) 2.78685 0.0320463i 0.122211 0.00140533i
\(521\) −9.88915 + 17.1285i −0.433252 + 0.750414i −0.997151 0.0754296i \(-0.975967\pi\)
0.563900 + 0.825843i \(0.309301\pi\)
\(522\) 1.03368 14.6134i 0.0452431 0.639609i
\(523\) 11.4165 + 6.59133i 0.499210 + 0.288219i 0.728387 0.685166i \(-0.240270\pi\)
−0.229178 + 0.973385i \(0.573604\pi\)
\(524\) −5.48186 + 9.49487i −0.239476 + 0.414785i
\(525\) −0.532923 + 20.1677i −0.0232587 + 0.880192i
\(526\) 11.4049 19.7538i 0.497275 0.861306i
\(527\) 9.91062i 0.431713i
\(528\) −1.05111 4.56123i −0.0457437 0.198502i
\(529\) 3.00132 + 5.19845i 0.130492 + 0.226019i
\(530\) −1.41140 + 2.44462i −0.0613074 + 0.106187i
\(531\) 30.2783 14.7376i 1.31397 0.639556i
\(532\) −3.30492 11.9096i −0.143287 0.516346i
\(533\) −0.406300 35.3331i −0.0175988 1.53045i
\(534\) 17.1408 + 5.24800i 0.741754 + 0.227103i
\(535\) 0.936606i 0.0404930i
\(536\) 6.94137i 0.299821i
\(537\) 17.3558 16.1715i 0.748960 0.697853i
\(538\) 1.82889i 0.0788492i
\(539\) −9.16578 + 16.5483i −0.394798 + 0.712785i
\(540\) 0.623537 + 3.96785i 0.0268328 + 0.170749i
\(541\) 10.6958 + 18.5257i 0.459848 + 0.796480i 0.998953 0.0457586i \(-0.0145705\pi\)
−0.539104 + 0.842239i \(0.681237\pi\)
\(542\) −3.64945 6.32104i −0.156757 0.271512i
\(543\) 16.5245 15.3969i 0.709135 0.660746i
\(544\) 2.29285 + 1.32378i 0.0983051 + 0.0567565i
\(545\) −5.92170 −0.253658
\(546\) 14.1842 + 8.47392i 0.607030 + 0.362650i
\(547\) −25.6199 −1.09543 −0.547713 0.836666i \(-0.684501\pi\)
−0.547713 + 0.836666i \(0.684501\pi\)
\(548\) 4.31921 + 2.49370i 0.184507 + 0.106525i
\(549\) 38.9551 + 2.75551i 1.66256 + 0.117602i
\(550\) 5.94875 + 10.3035i 0.253656 + 0.439344i
\(551\) −11.4062 19.7561i −0.485919 0.841636i
\(552\) 9.08958 2.09464i 0.386878 0.0891539i
\(553\) 26.2405 7.28176i 1.11586 0.309652i
\(554\) 16.9183i 0.718789i
\(555\) 4.16950 + 4.47485i 0.176985 + 0.189947i
\(556\) 0.282861i 0.0119960i
\(557\) 15.8251i 0.670532i 0.942124 + 0.335266i \(0.108826\pi\)
−0.942124 + 0.335266i \(0.891174\pi\)
\(558\) −10.0974 + 4.91476i −0.427455 + 0.208058i
\(559\) −35.1216 + 20.8195i −1.48548 + 0.880573i
\(560\) −0.511734 + 1.98007i −0.0216247 + 0.0836731i
\(561\) −11.8496 3.62801i −0.500292 0.153175i
\(562\) −15.8107 + 27.3849i −0.666934 + 1.15516i
\(563\) −4.87300 8.44029i −0.205373 0.355716i 0.744879 0.667200i \(-0.232507\pi\)
−0.950251 + 0.311484i \(0.899174\pi\)
\(564\) −8.88926 + 2.04848i −0.374305 + 0.0862566i
\(565\) 7.93671i 0.333900i
\(566\) 0.341066 0.590743i 0.0143361 0.0248308i
\(567\) −9.14416 + 21.9860i −0.384019 + 0.923325i
\(568\) 5.60701 9.71163i 0.235265 0.407491i
\(569\) 16.0935 + 9.29160i 0.674675 + 0.389524i 0.797846 0.602862i \(-0.205973\pi\)
−0.123171 + 0.992386i \(0.539306\pi\)
\(570\) 4.26368 + 4.57592i 0.178586 + 0.191664i
\(571\) −16.5767 + 28.7116i −0.693712 + 1.20154i 0.276901 + 0.960899i \(0.410693\pi\)
−0.970613 + 0.240646i \(0.922641\pi\)
\(572\) 9.74316 0.112038i 0.407382 0.00468454i
\(573\) 2.45888 2.29110i 0.102721 0.0957119i
\(574\) 25.1043 + 6.48802i 1.04783 + 0.270805i
\(575\) −20.5328 + 11.8546i −0.856277 + 0.494372i
\(576\) 0.211678 2.99252i 0.00881990 0.124688i
\(577\) −31.6525 18.2746i −1.31771 0.760780i −0.334350 0.942449i \(-0.608517\pi\)
−0.983360 + 0.181668i \(0.941850\pi\)
\(578\) −8.65199 + 4.99523i −0.359875 + 0.207774i
\(579\) −11.8613 12.7299i −0.492937 0.529037i
\(580\) 3.77471i 0.156736i
\(581\) 10.8333 41.9175i 0.449440 1.73903i
\(582\) −4.02204 + 13.1366i −0.166719 + 0.544529i
\(583\) −4.93443 + 8.54668i −0.204363 + 0.353967i
\(584\) 5.19392 8.99614i 0.214926 0.372263i
\(585\) −8.34650 0.494015i −0.345085 0.0204250i
\(586\) −6.75511 + 3.90007i −0.279051 + 0.161110i
\(587\) −17.2008 29.7927i −0.709953 1.22967i −0.964874 0.262713i \(-0.915383\pi\)
0.254921 0.966962i \(-0.417951\pi\)
\(588\) −8.72216 + 8.42163i −0.359696 + 0.347302i
\(589\) −8.74346 + 15.1441i −0.360268 + 0.624002i
\(590\) −7.51418 + 4.33831i −0.309354 + 0.178605i
\(591\) 4.88819 + 1.49662i 0.201073 + 0.0615628i
\(592\) −2.28416 3.95628i −0.0938785 0.162602i
\(593\) 1.21051 + 2.09667i 0.0497099 + 0.0861000i 0.889810 0.456332i \(-0.150837\pi\)
−0.840100 + 0.542432i \(0.817504\pi\)
\(594\) 2.17996 + 13.8721i 0.0894448 + 0.569178i
\(595\) 3.86257 + 3.79449i 0.158350 + 0.155559i
\(596\) 0.346111 0.199827i 0.0141773 0.00818525i
\(597\) −4.63782 1.41996i −0.189813 0.0581153i
\(598\) 0.223268 + 19.4161i 0.00913011 + 0.793983i
\(599\) 29.8409 + 17.2287i 1.21927 + 0.703944i 0.964761 0.263127i \(-0.0847539\pi\)
0.254506 + 0.967071i \(0.418087\pi\)
\(600\) 1.71234 + 7.43060i 0.0699060 + 0.303353i
\(601\) 14.8253 8.55938i 0.604736 0.349145i −0.166166 0.986098i \(-0.553139\pi\)
0.770903 + 0.636953i \(0.219806\pi\)
\(602\) −8.01120 28.8691i −0.326512 1.17662i
\(603\) 1.46933 20.7722i 0.0598358 0.845909i
\(604\) 7.20263 0.293071
\(605\) 1.42878 + 2.47472i 0.0580881 + 0.100612i
\(606\) −3.95441 17.1599i −0.160637 0.697075i
\(607\) 14.6934i 0.596388i −0.954505 0.298194i \(-0.903616\pi\)
0.954505 0.298194i \(-0.0963843\pi\)
\(608\) −2.33575 4.04565i −0.0947273 0.164073i
\(609\) −11.6970 + 19.0776i −0.473988 + 0.773065i
\(610\) −10.0623 −0.407411
\(611\) −0.218348 18.9882i −0.00883340 0.768180i
\(612\) −6.58119 4.44678i −0.266029 0.179750i
\(613\) 29.6540 1.19771 0.598857 0.800856i \(-0.295622\pi\)
0.598857 + 0.800856i \(0.295622\pi\)
\(614\) −0.811535 + 1.40562i −0.0327509 + 0.0567262i
\(615\) −12.7860 + 2.94646i −0.515581 + 0.118813i
\(616\) −1.78908 + 6.92255i −0.0720842 + 0.278917i
\(617\) 15.2938 + 8.82986i 0.615704 + 0.355477i 0.775195 0.631723i \(-0.217652\pi\)
−0.159491 + 0.987199i \(0.550985\pi\)
\(618\) 10.9288 + 11.7292i 0.439622 + 0.471817i
\(619\) −21.5803 12.4594i −0.867387 0.500786i −0.000907672 1.00000i \(-0.500289\pi\)
−0.866479 + 0.499214i \(0.833622\pi\)
\(620\) 2.50586 1.44676i 0.100638 0.0581033i
\(621\) −27.6442 + 4.34420i −1.10932 + 0.174327i
\(622\) 26.3252 15.1988i 1.05554 0.609418i
\(623\) −19.5339 19.1896i −0.782607 0.768814i
\(624\) 5.99201 + 1.75948i 0.239873 + 0.0704356i
\(625\) −8.19722 14.1980i −0.327889 0.567920i
\(626\) −4.96512 −0.198446
\(627\) 14.9063 + 15.9980i 0.595301 + 0.638898i
\(628\) 12.0957i 0.482672i
\(629\) −12.0949 −0.482254
\(630\) 1.95051 5.81707i 0.0777102 0.231758i
\(631\) 4.25946 7.37761i 0.169567 0.293698i −0.768701 0.639608i \(-0.779097\pi\)
0.938268 + 0.345910i \(0.112430\pi\)
\(632\) 8.91380 5.14638i 0.354572 0.204712i
\(633\) −6.66635 + 21.7733i −0.264963 + 0.865411i
\(634\) 13.3819 0.531463
\(635\) 2.80636 4.86076i 0.111367 0.192893i
\(636\) −4.62765 + 4.31188i −0.183498 + 0.170977i
\(637\) −13.2539 21.4787i −0.525139 0.851016i
\(638\) 13.1968i 0.522467i
\(639\) −18.8348 + 27.8754i −0.745095 + 1.10273i
\(640\) 0.772984i 0.0305549i
\(641\) 17.6989 10.2185i 0.699065 0.403605i −0.107934 0.994158i \(-0.534424\pi\)
0.806999 + 0.590553i \(0.201090\pi\)
\(642\) 0.614403 2.00673i 0.0242486 0.0791995i
\(643\) −28.2804 16.3277i −1.11527 0.643902i −0.175082 0.984554i \(-0.556019\pi\)
−0.940190 + 0.340652i \(0.889352\pi\)
\(644\) −13.7952 3.56527i −0.543607 0.140491i
\(645\) 10.3352 + 11.0921i 0.406950 + 0.436752i
\(646\) −12.3681 −0.486615
\(647\) −3.26300 −0.128282 −0.0641410 0.997941i \(-0.520431\pi\)
−0.0641410 + 0.997941i \(0.520431\pi\)
\(648\) −1.26690 + 8.91039i −0.0497686 + 0.350033i
\(649\) −26.2705 + 15.1673i −1.03121 + 0.595367i
\(650\) −15.8724 + 0.182518i −0.622566 + 0.00715896i
\(651\) 17.1480 + 0.453129i 0.672084 + 0.0177595i
\(652\) −4.72234 8.17934i −0.184941 0.320328i
\(653\) 23.5817 + 13.6149i 0.922822 + 0.532792i 0.884534 0.466475i \(-0.154476\pi\)
0.0382879 + 0.999267i \(0.487810\pi\)
\(654\) −12.6876 3.88457i −0.496124 0.151899i
\(655\) −4.23739 + 7.33938i −0.165569 + 0.286773i
\(656\) 9.80028 0.382637
\(657\) −17.4472 + 25.8217i −0.680680 + 1.00740i
\(658\) 13.4912 + 3.48670i 0.525941 + 0.135926i
\(659\) −40.7276 23.5141i −1.58652 0.915980i −0.993874 0.110520i \(-0.964748\pi\)
−0.592650 0.805460i \(-0.701918\pi\)
\(660\) −0.812491 3.52576i −0.0316262 0.137240i
\(661\) 4.05512i 0.157726i −0.996885 0.0788630i \(-0.974871\pi\)
0.996885 0.0788630i \(-0.0251290\pi\)
\(662\) 25.5607 + 14.7575i 0.993445 + 0.573566i
\(663\) 11.9663 11.4096i 0.464733 0.443113i
\(664\) 16.3639i 0.635043i
\(665\) −2.55466 9.20593i −0.0990653 0.356991i
\(666\) 5.99795 + 12.3228i 0.232416 + 0.477498i
\(667\) −26.2985 −1.01828
\(668\) −9.42868 + 16.3310i −0.364807 + 0.631864i
\(669\) −4.45622 1.36436i −0.172287 0.0527493i
\(670\) 5.36557i 0.207290i
\(671\) −35.1791 −1.35807
\(672\) −2.39532 + 3.90672i −0.0924015 + 0.150705i
\(673\) 20.5401 + 35.5765i 0.791763 + 1.37137i 0.924874 + 0.380273i \(0.124170\pi\)
−0.133111 + 0.991101i \(0.542497\pi\)
\(674\) 26.0776 + 15.0559i 1.00447 + 0.579932i
\(675\) −3.55132 22.5987i −0.136691 0.869824i
\(676\) −6.23939 + 11.4048i −0.239977 + 0.438647i
\(677\) −0.255669 0.442832i −0.00982616 0.0170194i 0.861071 0.508486i \(-0.169794\pi\)
−0.870897 + 0.491466i \(0.836461\pi\)
\(678\) −5.20639 + 17.0049i −0.199950 + 0.653068i
\(679\) 14.7068 14.9706i 0.564394 0.574520i
\(680\) 1.77234 + 1.02326i 0.0679660 + 0.0392402i
\(681\) −2.67746 + 8.74498i −0.102600 + 0.335108i
\(682\) 8.76080 5.05805i 0.335468 0.193683i
\(683\) 15.1002 8.71812i 0.577794 0.333589i −0.182462 0.983213i \(-0.558407\pi\)
0.760256 + 0.649623i \(0.225073\pi\)
\(684\) 6.13343 + 12.6011i 0.234517 + 0.481816i
\(685\) 3.33868 + 1.92759i 0.127564 + 0.0736493i
\(686\) 17.7550 5.26877i 0.677889 0.201163i
\(687\) −43.8183 13.4159i −1.67177 0.511848i
\(688\) −5.66191 9.80672i −0.215858 0.373878i
\(689\) −6.71410 11.3264i −0.255787 0.431500i
\(690\) 7.02610 1.61913i 0.267479 0.0616391i
\(691\) −7.83883 4.52575i −0.298203 0.172168i 0.343432 0.939177i \(-0.388410\pi\)
−0.641635 + 0.767010i \(0.721744\pi\)
\(692\) −6.00907 10.4080i −0.228431 0.395653i
\(693\) 6.81922 20.3372i 0.259041 0.772545i
\(694\) 13.4578 0.510852
\(695\) 0.218647i 0.00829377i
\(696\) −2.47617 + 8.08753i −0.0938588 + 0.306557i
\(697\) 12.9734 22.4706i 0.491402 0.851133i
\(698\) 10.3524 0.391844
\(699\) −5.77203 1.76723i −0.218318 0.0668427i
\(700\) 2.91455 11.2774i 0.110160 0.426245i
\(701\) 0.299896i 0.0113269i −0.999984 0.00566346i \(-0.998197\pi\)
0.999984 0.00566346i \(-0.00180274\pi\)
\(702\) −17.5588 6.53366i −0.662714 0.246597i
\(703\) 18.4818 + 10.6705i 0.697055 + 0.402445i
\(704\) 2.70245i 0.101852i
\(705\) −6.87126 + 1.58344i −0.258787 + 0.0596359i
\(706\) −25.8963 14.9512i −0.974621 0.562698i
\(707\) −6.73076 + 26.0435i −0.253136 + 0.979468i
\(708\) −18.9455 + 4.36587i −0.712014 + 0.164080i
\(709\) −35.4700 −1.33210 −0.666052 0.745905i \(-0.732017\pi\)
−0.666052 + 0.745905i \(0.732017\pi\)
\(710\) 4.33413 7.50694i 0.162657 0.281730i
\(711\) −27.7641 + 13.5138i −1.04124 + 0.506808i
\(712\) −8.96309 5.17484i −0.335906 0.193935i
\(713\) 10.0796 + 17.4584i 0.377485 + 0.653824i
\(714\) 5.78664 + 10.6637i 0.216560 + 0.399080i
\(715\) 7.53131 0.0866035i 0.281655 0.00323879i
\(716\) −11.8611 + 6.84801i −0.443270 + 0.255922i
\(717\) 13.9395 12.9883i 0.520582 0.485059i
\(718\) −5.95282 −0.222157
\(719\) 45.3957 1.69297 0.846487 0.532410i \(-0.178713\pi\)
0.846487 + 0.532410i \(0.178713\pi\)
\(720\) 0.163624 2.31317i 0.00609789 0.0862069i
\(721\) −6.54819 23.5970i −0.243868 0.878798i
\(722\) 2.44478 + 1.41150i 0.0909854 + 0.0525305i
\(723\) −3.82879 1.17226i −0.142394 0.0435970i
\(724\) −11.2930 + 6.52001i −0.419701 + 0.242314i
\(725\) 21.4987i 0.798440i
\(726\) 1.43786 + 6.23949i 0.0533638 + 0.231569i
\(727\) 11.4955i 0.426346i 0.977014 + 0.213173i \(0.0683798\pi\)
−0.977014 + 0.213173i \(0.931620\pi\)
\(728\) −6.88149 6.60644i −0.255045 0.244851i
\(729\) 5.67736 26.3964i 0.210273 0.977643i
\(730\) 4.01482 6.95387i 0.148595 0.257374i
\(731\) −29.9804 −1.10887
\(732\) −21.5591 6.60077i −0.796847 0.243971i
\(733\) 3.91444 2.26000i 0.144583 0.0834751i −0.425963 0.904740i \(-0.640065\pi\)
0.570546 + 0.821265i \(0.306731\pi\)
\(734\) −8.53079 + 14.7758i −0.314877 + 0.545383i
\(735\) −6.74209 + 6.50979i −0.248686 + 0.240117i
\(736\) −5.38541 −0.198509
\(737\) 18.7587i 0.690984i
\(738\) −29.3276 2.07450i −1.07956 0.0763634i
\(739\) 7.97258 0.293276 0.146638 0.989190i \(-0.453155\pi\)
0.146638 + 0.989190i \(0.453155\pi\)
\(740\) −1.76562 3.05815i −0.0649055 0.112420i
\(741\) −28.3513 + 6.87763i −1.04151 + 0.252656i
\(742\) 9.31000 2.58353i 0.341781 0.0948445i
\(743\) −18.4735 + 10.6657i −0.677726 + 0.391285i −0.798998 0.601334i \(-0.794636\pi\)
0.121272 + 0.992619i \(0.461303\pi\)
\(744\) 6.31802 1.45595i 0.231630 0.0533778i
\(745\) 0.267539 0.154464i 0.00980186 0.00565911i
\(746\) −20.4954 11.8330i −0.750388 0.433237i
\(747\) −3.46387 + 48.9693i −0.126736 + 1.79169i
\(748\) 6.19630 + 3.57744i 0.226559 + 0.130804i
\(749\) −2.24660 + 2.28690i −0.0820888 + 0.0835616i
\(750\) 2.82686 + 12.2670i 0.103222 + 0.447928i
\(751\) 18.8325 32.6189i 0.687209 1.19028i −0.285528 0.958370i \(-0.592169\pi\)
0.972737 0.231910i \(-0.0744976\pi\)
\(752\) 5.26673 0.192058
\(753\) −14.1707 + 3.26557i −0.516411 + 0.119004i
\(754\) −15.3483 8.62757i −0.558952 0.314197i
\(755\) 5.56752 0.202623
\(756\) 7.99502 11.1839i 0.290776 0.406755i
\(757\) −16.7324 28.9814i −0.608150 1.05335i −0.991545 0.129762i \(-0.958579\pi\)
0.383395 0.923584i \(-0.374755\pi\)
\(758\) 26.5931i 0.965905i
\(759\) 24.5641 5.66066i 0.891620 0.205469i
\(760\) −1.80550 3.12722i −0.0654924 0.113436i
\(761\) 10.2577 0.371840 0.185920 0.982565i \(-0.440473\pi\)
0.185920 + 0.982565i \(0.440473\pi\)
\(762\) 9.20139 8.57352i 0.333331 0.310586i
\(763\) 14.4589 + 14.2041i 0.523449 + 0.514223i
\(764\) −1.68042 + 0.970190i −0.0607954 + 0.0351002i
\(765\) −5.08716 3.43729i −0.183926 0.124275i
\(766\) −13.5406 7.81768i −0.489242 0.282464i
\(767\) −0.465359 40.4691i −0.0168031 1.46125i
\(768\) −0.507069 + 1.65616i −0.0182973 + 0.0597617i
\(769\) 23.6054 13.6286i 0.851232 0.491459i −0.00983428 0.999952i \(-0.503130\pi\)
0.861066 + 0.508493i \(0.169797\pi\)
\(770\) −1.38293 + 5.35102i −0.0498374 + 0.192837i
\(771\) 41.5912 9.58446i 1.49787 0.345176i
\(772\) 5.02278 + 8.69971i 0.180774 + 0.313109i
\(773\) 19.7527 + 34.2128i 0.710457 + 1.23055i 0.964686 + 0.263403i \(0.0848451\pi\)
−0.254229 + 0.967144i \(0.581822\pi\)
\(774\) 14.8675 + 30.5453i 0.534403 + 1.09793i
\(775\) −14.2720 + 8.23996i −0.512666 + 0.295988i
\(776\)