Properties

Label 546.2.by.b.115.9
Level $546$
Weight $2$
Character 546.115
Analytic conductor $4.360$
Analytic rank $0$
Dimension $40$
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.by (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(10\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 115.9
Character \(\chi\) \(=\) 546.115
Dual form 546.2.by.b.19.9

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 - 0.258819i) q^{2} +1.00000i q^{3} +(0.866025 - 0.500000i) q^{4} +(2.82421 + 0.756745i) q^{5} +(0.258819 + 0.965926i) q^{6} +(-2.36822 + 1.17963i) q^{7} +(0.707107 - 0.707107i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(0.965926 - 0.258819i) q^{2} +1.00000i q^{3} +(0.866025 - 0.500000i) q^{4} +(2.82421 + 0.756745i) q^{5} +(0.258819 + 0.965926i) q^{6} +(-2.36822 + 1.17963i) q^{7} +(0.707107 - 0.707107i) q^{8} -1.00000 q^{9} +2.92384 q^{10} +(2.45207 - 2.45207i) q^{11} +(0.500000 + 0.866025i) q^{12} +(3.36737 + 1.28874i) q^{13} +(-1.98221 + 1.75238i) q^{14} +(-0.756745 + 2.82421i) q^{15} +(0.500000 - 0.866025i) q^{16} +(0.623139 + 1.07931i) q^{17} +(-0.965926 + 0.258819i) q^{18} +(-3.09653 + 3.09653i) q^{19} +(2.82421 - 0.756745i) q^{20} +(-1.17963 - 2.36822i) q^{21} +(1.73388 - 3.00316i) q^{22} +(-1.15250 - 0.665398i) q^{23} +(0.707107 + 0.707107i) q^{24} +(3.07338 + 1.77442i) q^{25} +(3.58618 + 0.373290i) q^{26} -1.00000i q^{27} +(-1.46112 + 2.20570i) q^{28} +(0.896358 + 1.55254i) q^{29} +2.92384i q^{30} +(0.443492 + 1.65514i) q^{31} +(0.258819 - 0.965926i) q^{32} +(2.45207 + 2.45207i) q^{33} +(0.881252 + 0.881252i) q^{34} +(-7.58104 + 1.53939i) q^{35} +(-0.866025 + 0.500000i) q^{36} +(-1.00099 - 3.73573i) q^{37} +(-2.18957 + 3.79246i) q^{38} +(-1.28874 + 3.36737i) q^{39} +(2.53212 - 1.46192i) q^{40} +(-2.20002 - 0.589495i) q^{41} +(-1.75238 - 1.98221i) q^{42} +(-4.56039 - 2.63294i) q^{43} +(0.897521 - 3.34960i) q^{44} +(-2.82421 - 0.756745i) q^{45} +(-1.28545 - 0.344435i) q^{46} +(2.98438 - 11.1379i) q^{47} +(0.866025 + 0.500000i) q^{48} +(4.21694 - 5.58726i) q^{49} +(3.42791 + 0.918507i) q^{50} +(-1.07931 + 0.623139i) q^{51} +(3.56059 - 0.567601i) q^{52} +(-2.96970 + 5.14367i) q^{53} +(-0.258819 - 0.965926i) q^{54} +(8.78077 - 5.06958i) q^{55} +(-0.840459 + 2.50871i) q^{56} +(-3.09653 - 3.09653i) q^{57} +(1.26764 + 1.26764i) q^{58} +(-2.57541 + 9.61156i) q^{59} +(0.756745 + 2.82421i) q^{60} -7.76947i q^{61} +(0.856761 + 1.48395i) q^{62} +(2.36822 - 1.17963i) q^{63} -1.00000i q^{64} +(8.53491 + 6.18791i) q^{65} +(3.00316 + 1.73388i) q^{66} +(-2.45591 - 2.45591i) q^{67} +(1.07931 + 0.623139i) q^{68} +(0.665398 - 1.15250i) q^{69} +(-6.92430 + 3.44905i) q^{70} +(-9.20456 + 2.46635i) q^{71} +(-0.707107 + 0.707107i) q^{72} +(15.5008 - 4.15344i) q^{73} +(-1.93376 - 3.34937i) q^{74} +(-1.77442 + 3.07338i) q^{75} +(-1.13341 + 4.22993i) q^{76} +(-2.91451 + 8.69960i) q^{77} +(-0.373290 + 3.58618i) q^{78} +(-3.83793 - 6.64749i) q^{79} +(2.06747 - 2.06747i) q^{80} +1.00000 q^{81} -2.27763 q^{82} +(-2.31664 + 2.31664i) q^{83} +(-2.20570 - 1.46112i) q^{84} +(0.943115 + 3.51975i) q^{85} +(-5.08645 - 1.36291i) q^{86} +(-1.55254 + 0.896358i) q^{87} -3.46776i q^{88} +(7.19049 - 1.92669i) q^{89} -2.92384 q^{90} +(-9.49490 + 0.920230i) q^{91} -1.33080 q^{92} +(-1.65514 + 0.443492i) q^{93} -11.5308i q^{94} +(-11.0885 + 6.40197i) q^{95} +(0.965926 + 0.258819i) q^{96} +(-2.79955 - 10.4481i) q^{97} +(2.62716 - 6.48830i) q^{98} +(-2.45207 + 2.45207i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q - 4q^{7} - 40q^{9} + O(q^{10}) \) \( 40q - 4q^{7} - 40q^{9} - 4q^{11} + 20q^{12} + 4q^{14} + 20q^{16} + 8q^{17} + 8q^{19} - 8q^{21} - 4q^{22} + 24q^{23} + 24q^{25} - 8q^{26} + 4q^{28} - 12q^{29} + 24q^{31} - 4q^{33} + 8q^{34} + 28q^{35} - 8q^{37} - 8q^{38} - 16q^{39} - 20q^{41} - 12q^{42} - 24q^{43} + 8q^{44} - 4q^{46} - 16q^{47} + 4q^{49} - 16q^{50} - 24q^{51} - 4q^{52} - 4q^{53} - 24q^{55} + 12q^{56} + 8q^{57} + 24q^{58} - 12q^{59} - 32q^{62} + 4q^{63} - 4q^{65} - 24q^{67} + 24q^{68} + 8q^{69} + 52q^{70} - 28q^{71} + 108q^{73} + 20q^{74} - 36q^{75} - 4q^{76} + 12q^{77} + 4q^{78} + 40q^{81} - 48q^{82} - 60q^{83} - 8q^{84} - 4q^{85} - 20q^{86} - 36q^{87} - 60q^{89} - 40q^{91} - 16q^{92} - 48q^{95} + 48q^{97} - 8q^{98} + 4q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(1\) \(e\left(\frac{7}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965926 0.258819i 0.683013 0.183013i
\(3\) 1.00000i 0.577350i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) 2.82421 + 0.756745i 1.26303 + 0.338427i 0.827355 0.561679i \(-0.189844\pi\)
0.435671 + 0.900106i \(0.356511\pi\)
\(6\) 0.258819 + 0.965926i 0.105662 + 0.394338i
\(7\) −2.36822 + 1.17963i −0.895103 + 0.445859i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) −1.00000 −0.333333
\(10\) 2.92384 0.924599
\(11\) 2.45207 2.45207i 0.739328 0.739328i −0.233120 0.972448i \(-0.574893\pi\)
0.972448 + 0.233120i \(0.0748935\pi\)
\(12\) 0.500000 + 0.866025i 0.144338 + 0.250000i
\(13\) 3.36737 + 1.28874i 0.933939 + 0.357432i
\(14\) −1.98221 + 1.75238i −0.529769 + 0.468343i
\(15\) −0.756745 + 2.82421i −0.195391 + 0.729208i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) 0.623139 + 1.07931i 0.151133 + 0.261771i 0.931644 0.363371i \(-0.118374\pi\)
−0.780511 + 0.625142i \(0.785041\pi\)
\(18\) −0.965926 + 0.258819i −0.227671 + 0.0610042i
\(19\) −3.09653 + 3.09653i −0.710392 + 0.710392i −0.966617 0.256225i \(-0.917521\pi\)
0.256225 + 0.966617i \(0.417521\pi\)
\(20\) 2.82421 0.756745i 0.631513 0.169213i
\(21\) −1.17963 2.36822i −0.257417 0.516788i
\(22\) 1.73388 3.00316i 0.369664 0.640277i
\(23\) −1.15250 0.665398i −0.240313 0.138745i 0.375007 0.927022i \(-0.377640\pi\)
−0.615321 + 0.788277i \(0.710974\pi\)
\(24\) 0.707107 + 0.707107i 0.144338 + 0.144338i
\(25\) 3.07338 + 1.77442i 0.614677 + 0.354884i
\(26\) 3.58618 + 0.373290i 0.703307 + 0.0732081i
\(27\) 1.00000i 0.192450i
\(28\) −1.46112 + 2.20570i −0.276126 + 0.416838i
\(29\) 0.896358 + 1.55254i 0.166450 + 0.288299i 0.937169 0.348875i \(-0.113436\pi\)
−0.770720 + 0.637175i \(0.780103\pi\)
\(30\) 2.92384i 0.533818i
\(31\) 0.443492 + 1.65514i 0.0796536 + 0.297271i 0.994248 0.107101i \(-0.0341568\pi\)
−0.914595 + 0.404372i \(0.867490\pi\)
\(32\) 0.258819 0.965926i 0.0457532 0.170753i
\(33\) 2.45207 + 2.45207i 0.426851 + 0.426851i
\(34\) 0.881252 + 0.881252i 0.151133 + 0.151133i
\(35\) −7.58104 + 1.53939i −1.28143 + 0.260205i
\(36\) −0.866025 + 0.500000i −0.144338 + 0.0833333i
\(37\) −1.00099 3.73573i −0.164561 0.614151i −0.998096 0.0616834i \(-0.980353\pi\)
0.833535 0.552467i \(-0.186314\pi\)
\(38\) −2.18957 + 3.79246i −0.355196 + 0.615217i
\(39\) −1.28874 + 3.36737i −0.206364 + 0.539210i
\(40\) 2.53212 1.46192i 0.400363 0.231150i
\(41\) −2.20002 0.589495i −0.343586 0.0920636i 0.0828997 0.996558i \(-0.473582\pi\)
−0.426486 + 0.904494i \(0.640249\pi\)
\(42\) −1.75238 1.98221i −0.270398 0.305862i
\(43\) −4.56039 2.63294i −0.695453 0.401520i 0.110199 0.993910i \(-0.464851\pi\)
−0.805651 + 0.592390i \(0.798185\pi\)
\(44\) 0.897521 3.34960i 0.135306 0.504970i
\(45\) −2.82421 0.756745i −0.421009 0.112809i
\(46\) −1.28545 0.344435i −0.189529 0.0507842i
\(47\) 2.98438 11.1379i 0.435317 1.62462i −0.304990 0.952356i \(-0.598653\pi\)
0.740307 0.672269i \(-0.234680\pi\)
\(48\) 0.866025 + 0.500000i 0.125000 + 0.0721688i
\(49\) 4.21694 5.58726i 0.602420 0.798180i
\(50\) 3.42791 + 0.918507i 0.484780 + 0.129897i
\(51\) −1.07931 + 0.623139i −0.151133 + 0.0872569i
\(52\) 3.56059 0.567601i 0.493766 0.0787120i
\(53\) −2.96970 + 5.14367i −0.407920 + 0.706538i −0.994656 0.103240i \(-0.967079\pi\)
0.586737 + 0.809778i \(0.300412\pi\)
\(54\) −0.258819 0.965926i −0.0352208 0.131446i
\(55\) 8.78077 5.06958i 1.18400 0.683582i
\(56\) −0.840459 + 2.50871i −0.112311 + 0.335241i
\(57\) −3.09653 3.09653i −0.410145 0.410145i
\(58\) 1.26764 + 1.26764i 0.166450 + 0.166450i
\(59\) −2.57541 + 9.61156i −0.335290 + 1.25132i 0.568265 + 0.822846i \(0.307615\pi\)
−0.903555 + 0.428473i \(0.859052\pi\)
\(60\) 0.756745 + 2.82421i 0.0976954 + 0.364604i
\(61\) 7.76947i 0.994778i −0.867528 0.497389i \(-0.834292\pi\)
0.867528 0.497389i \(-0.165708\pi\)
\(62\) 0.856761 + 1.48395i 0.108809 + 0.188462i
\(63\) 2.36822 1.17963i 0.298368 0.148620i
\(64\) 1.00000i 0.125000i
\(65\) 8.53491 + 6.18791i 1.05862 + 0.767516i
\(66\) 3.00316 + 1.73388i 0.369664 + 0.213426i
\(67\) −2.45591 2.45591i −0.300037 0.300037i 0.540991 0.841028i \(-0.318049\pi\)
−0.841028 + 0.540991i \(0.818049\pi\)
\(68\) 1.07931 + 0.623139i 0.130885 + 0.0755667i
\(69\) 0.665398 1.15250i 0.0801045 0.138745i
\(70\) −6.92430 + 3.44905i −0.827612 + 0.412241i
\(71\) −9.20456 + 2.46635i −1.09238 + 0.292702i −0.759658 0.650323i \(-0.774634\pi\)
−0.332722 + 0.943025i \(0.607967\pi\)
\(72\) −0.707107 + 0.707107i −0.0833333 + 0.0833333i
\(73\) 15.5008 4.15344i 1.81424 0.486123i 0.818190 0.574948i \(-0.194978\pi\)
0.996047 + 0.0888247i \(0.0283111\pi\)
\(74\) −1.93376 3.34937i −0.224795 0.389356i
\(75\) −1.77442 + 3.07338i −0.204892 + 0.354884i
\(76\) −1.13341 + 4.22993i −0.130011 + 0.485207i
\(77\) −2.91451 + 8.69960i −0.332139 + 0.991411i
\(78\) −0.373290 + 3.58618i −0.0422667 + 0.406054i
\(79\) −3.83793 6.64749i −0.431801 0.747901i 0.565227 0.824935i \(-0.308788\pi\)
−0.997028 + 0.0770338i \(0.975455\pi\)
\(80\) 2.06747 2.06747i 0.231150 0.231150i
\(81\) 1.00000 0.111111
\(82\) −2.27763 −0.251522
\(83\) −2.31664 + 2.31664i −0.254284 + 0.254284i −0.822724 0.568440i \(-0.807547\pi\)
0.568440 + 0.822724i \(0.307547\pi\)
\(84\) −2.20570 1.46112i −0.240662 0.159422i
\(85\) 0.943115 + 3.51975i 0.102295 + 0.381771i
\(86\) −5.08645 1.36291i −0.548486 0.146966i
\(87\) −1.55254 + 0.896358i −0.166450 + 0.0960997i
\(88\) 3.46776i 0.369664i
\(89\) 7.19049 1.92669i 0.762190 0.204228i 0.143272 0.989683i \(-0.454238\pi\)
0.618919 + 0.785455i \(0.287571\pi\)
\(90\) −2.92384 −0.308200
\(91\) −9.49490 + 0.920230i −0.995336 + 0.0964663i
\(92\) −1.33080 −0.138745
\(93\) −1.65514 + 0.443492i −0.171630 + 0.0459880i
\(94\) 11.5308i 1.18931i
\(95\) −11.0885 + 6.40197i −1.13766 + 0.656828i
\(96\) 0.965926 + 0.258819i 0.0985844 + 0.0264156i
\(97\) −2.79955 10.4481i −0.284251 1.06084i −0.949385 0.314116i \(-0.898292\pi\)
0.665133 0.746725i \(-0.268375\pi\)
\(98\) 2.62716 6.48830i 0.265383 0.655417i
\(99\) −2.45207 + 2.45207i −0.246443 + 0.246443i
\(100\) 3.54884 0.354884
\(101\) −6.56962 −0.653701 −0.326851 0.945076i \(-0.605987\pi\)
−0.326851 + 0.945076i \(0.605987\pi\)
\(102\) −0.881252 + 0.881252i −0.0872569 + 0.0872569i
\(103\) −8.36742 14.4928i −0.824466 1.42802i −0.902326 0.431053i \(-0.858142\pi\)
0.0778601 0.996964i \(-0.475191\pi\)
\(104\) 3.29236 1.46981i 0.322843 0.144127i
\(105\) −1.53939 7.58104i −0.150229 0.739834i
\(106\) −1.53723 + 5.73702i −0.149309 + 0.557229i
\(107\) 10.0835 17.4652i 0.974811 1.68842i 0.294252 0.955728i \(-0.404929\pi\)
0.680559 0.732694i \(-0.261737\pi\)
\(108\) −0.500000 0.866025i −0.0481125 0.0833333i
\(109\) −18.5593 + 4.97295i −1.77766 + 0.476322i −0.990154 0.139985i \(-0.955295\pi\)
−0.787506 + 0.616307i \(0.788628\pi\)
\(110\) 7.16947 7.16947i 0.683582 0.683582i
\(111\) 3.73573 1.00099i 0.354580 0.0950094i
\(112\) −0.162519 + 2.64076i −0.0153566 + 0.249528i
\(113\) −5.57034 + 9.64811i −0.524014 + 0.907618i 0.475596 + 0.879664i \(0.342233\pi\)
−0.999609 + 0.0279542i \(0.991101\pi\)
\(114\) −3.79246 2.18957i −0.355196 0.205072i
\(115\) −2.75138 2.75138i −0.256567 0.256567i
\(116\) 1.55254 + 0.896358i 0.144150 + 0.0832248i
\(117\) −3.36737 1.28874i −0.311313 0.119144i
\(118\) 9.95062i 0.916029i
\(119\) −2.74892 1.82097i −0.251993 0.166928i
\(120\) 1.46192 + 2.53212i 0.133454 + 0.231150i
\(121\) 1.02533i 0.0932120i
\(122\) −2.01089 7.50473i −0.182057 0.679446i
\(123\) 0.589495 2.20002i 0.0531529 0.198370i
\(124\) 1.21164 + 1.21164i 0.108809 + 0.108809i
\(125\) −3.00023 3.00023i −0.268349 0.268349i
\(126\) 1.98221 1.75238i 0.176590 0.156114i
\(127\) −3.62141 + 2.09082i −0.321348 + 0.185531i −0.651993 0.758225i \(-0.726067\pi\)
0.330645 + 0.943755i \(0.392734\pi\)
\(128\) −0.258819 0.965926i −0.0228766 0.0853766i
\(129\) 2.63294 4.56039i 0.231818 0.401520i
\(130\) 9.84564 + 3.76807i 0.863519 + 0.330482i
\(131\) −16.6665 + 9.62242i −1.45616 + 0.840715i −0.998819 0.0485764i \(-0.984532\pi\)
−0.457341 + 0.889291i \(0.651198\pi\)
\(132\) 3.34960 + 0.897521i 0.291545 + 0.0781192i
\(133\) 3.68050 10.9860i 0.319140 0.952609i
\(134\) −3.00786 1.73659i −0.259839 0.150018i
\(135\) 0.756745 2.82421i 0.0651303 0.243069i
\(136\) 1.20381 + 0.322560i 0.103226 + 0.0276593i
\(137\) −15.7554 4.22164i −1.34607 0.360679i −0.487388 0.873186i \(-0.662050\pi\)
−0.858683 + 0.512507i \(0.828717\pi\)
\(138\) 0.344435 1.28545i 0.0293203 0.109425i
\(139\) 12.0586 + 6.96206i 1.02280 + 0.590514i 0.914914 0.403649i \(-0.132258\pi\)
0.107887 + 0.994163i \(0.465592\pi\)
\(140\) −5.79568 + 5.12367i −0.489824 + 0.433029i
\(141\) 11.1379 + 2.98438i 0.937978 + 0.251330i
\(142\) −8.25258 + 4.76463i −0.692541 + 0.399839i
\(143\) 11.4171 5.09694i 0.954747 0.426228i
\(144\) −0.500000 + 0.866025i −0.0416667 + 0.0721688i
\(145\) 1.35663 + 5.06301i 0.112662 + 0.420460i
\(146\) 13.8977 8.02383i 1.15018 0.664057i
\(147\) 5.58726 + 4.21694i 0.460829 + 0.347807i
\(148\) −2.73475 2.73475i −0.224795 0.224795i
\(149\) 8.71829 + 8.71829i 0.714230 + 0.714230i 0.967417 0.253187i \(-0.0814788\pi\)
−0.253187 + 0.967417i \(0.581479\pi\)
\(150\) −0.918507 + 3.42791i −0.0749958 + 0.279888i
\(151\) −1.92637 7.18931i −0.156766 0.585058i −0.998948 0.0458642i \(-0.985396\pi\)
0.842182 0.539193i \(-0.181271\pi\)
\(152\) 4.37915i 0.355196i
\(153\) −0.623139 1.07931i −0.0503778 0.0872569i
\(154\) −0.563576 + 9.15749i −0.0454143 + 0.737932i
\(155\) 5.01007i 0.402418i
\(156\) 0.567601 + 3.56059i 0.0454444 + 0.285076i
\(157\) 8.60391 + 4.96747i 0.686667 + 0.396447i 0.802362 0.596838i \(-0.203576\pi\)
−0.115695 + 0.993285i \(0.536910\pi\)
\(158\) −5.42765 5.42765i −0.431801 0.431801i
\(159\) −5.14367 2.96970i −0.407920 0.235513i
\(160\) 1.46192 2.53212i 0.115575 0.200182i
\(161\) 3.51430 + 0.216280i 0.276966 + 0.0170452i
\(162\) 0.965926 0.258819i 0.0758903 0.0203347i
\(163\) 2.74291 2.74291i 0.214842 0.214842i −0.591479 0.806320i \(-0.701456\pi\)
0.806320 + 0.591479i \(0.201456\pi\)
\(164\) −2.20002 + 0.589495i −0.171793 + 0.0460318i
\(165\) 5.06958 + 8.78077i 0.394666 + 0.683582i
\(166\) −1.63811 + 2.83729i −0.127142 + 0.220216i
\(167\) −4.18809 + 15.6302i −0.324084 + 1.20950i 0.591145 + 0.806565i \(0.298676\pi\)
−0.915229 + 0.402934i \(0.867991\pi\)
\(168\) −2.50871 0.840459i −0.193551 0.0648428i
\(169\) 9.67830 + 8.67932i 0.744484 + 0.667640i
\(170\) 1.82196 + 3.15572i 0.139738 + 0.242033i
\(171\) 3.09653 3.09653i 0.236797 0.236797i
\(172\) −5.26588 −0.401520
\(173\) 5.36783 0.408109 0.204054 0.978960i \(-0.434588\pi\)
0.204054 + 0.978960i \(0.434588\pi\)
\(174\) −1.26764 + 1.26764i −0.0960997 + 0.0960997i
\(175\) −9.37161 0.576754i −0.708427 0.0435985i
\(176\) −0.897521 3.34960i −0.0676532 0.252485i
\(177\) −9.61156 2.57541i −0.722449 0.193580i
\(178\) 6.44682 3.72207i 0.483209 0.278981i
\(179\) 15.1482i 1.13223i 0.824326 + 0.566116i \(0.191554\pi\)
−0.824326 + 0.566116i \(0.808446\pi\)
\(180\) −2.82421 + 0.756745i −0.210504 + 0.0564045i
\(181\) 8.93149 0.663873 0.331936 0.943302i \(-0.392298\pi\)
0.331936 + 0.943302i \(0.392298\pi\)
\(182\) −8.93320 + 3.34634i −0.662173 + 0.248047i
\(183\) 7.76947 0.574335
\(184\) −1.28545 + 0.344435i −0.0947646 + 0.0253921i
\(185\) 11.3080i 0.831380i
\(186\) −1.48395 + 0.856761i −0.108809 + 0.0628208i
\(187\) 4.17453 + 1.11856i 0.305272 + 0.0817973i
\(188\) −2.98438 11.1379i −0.217658 0.812312i
\(189\) 1.17963 + 2.36822i 0.0858056 + 0.172263i
\(190\) −9.05375 + 9.05375i −0.656828 + 0.656828i
\(191\) 19.6005 1.41825 0.709123 0.705085i \(-0.249091\pi\)
0.709123 + 0.705085i \(0.249091\pi\)
\(192\) 1.00000 0.0721688
\(193\) 6.19651 6.19651i 0.446035 0.446035i −0.447999 0.894034i \(-0.647863\pi\)
0.894034 + 0.447999i \(0.147863\pi\)
\(194\) −5.40832 9.36748i −0.388294 0.672546i
\(195\) −6.18791 + 8.53491i −0.443126 + 0.611197i
\(196\) 0.858346 6.94718i 0.0613104 0.496227i
\(197\) −2.82376 + 10.5384i −0.201185 + 0.750832i 0.789394 + 0.613887i \(0.210395\pi\)
−0.990579 + 0.136945i \(0.956272\pi\)
\(198\) −1.73388 + 3.00316i −0.123221 + 0.213426i
\(199\) 8.05090 + 13.9446i 0.570713 + 0.988505i 0.996493 + 0.0836776i \(0.0266666\pi\)
−0.425779 + 0.904827i \(0.640000\pi\)
\(200\) 3.42791 0.918507i 0.242390 0.0649483i
\(201\) 2.45591 2.45591i 0.173226 0.173226i
\(202\) −6.34576 + 1.70034i −0.446486 + 0.119636i
\(203\) −3.95420 2.61938i −0.277530 0.183844i
\(204\) −0.623139 + 1.07931i −0.0436285 + 0.0755667i
\(205\) −5.76724 3.32972i −0.402801 0.232557i
\(206\) −11.8333 11.8333i −0.824466 0.824466i
\(207\) 1.15250 + 0.665398i 0.0801045 + 0.0462483i
\(208\) 2.79976 2.27185i 0.194129 0.157525i
\(209\) 15.1858i 1.05043i
\(210\) −3.44905 6.92430i −0.238007 0.477822i
\(211\) −2.03799 3.52990i −0.140301 0.243008i 0.787309 0.616559i \(-0.211474\pi\)
−0.927610 + 0.373550i \(0.878140\pi\)
\(212\) 5.93940i 0.407920i
\(213\) −2.46635 9.20456i −0.168992 0.630686i
\(214\) 5.21961 19.4799i 0.356805 1.33162i
\(215\) −10.8870 10.8870i −0.742490 0.742490i
\(216\) −0.707107 0.707107i −0.0481125 0.0481125i
\(217\) −3.00274 3.39657i −0.203839 0.230574i
\(218\) −16.6398 + 9.60701i −1.12699 + 0.650669i
\(219\) 4.15344 + 15.5008i 0.280663 + 1.04745i
\(220\) 5.06958 8.78077i 0.341791 0.592000i
\(221\) 0.707388 + 4.43749i 0.0475841 + 0.298498i
\(222\) 3.34937 1.93376i 0.224795 0.129785i
\(223\) 24.1760 + 6.47794i 1.61894 + 0.433795i 0.950691 0.310139i \(-0.100375\pi\)
0.668254 + 0.743934i \(0.267042\pi\)
\(224\) 0.526496 + 2.59284i 0.0351780 + 0.173241i
\(225\) −3.07338 1.77442i −0.204892 0.118295i
\(226\) −2.88342 + 10.7611i −0.191802 + 0.715816i
\(227\) −2.40025 0.643146i −0.159310 0.0426871i 0.178282 0.983979i \(-0.442946\pi\)
−0.337593 + 0.941292i \(0.609613\pi\)
\(228\) −4.22993 1.13341i −0.280134 0.0750617i
\(229\) 1.61841 6.04000i 0.106948 0.399134i −0.891611 0.452802i \(-0.850424\pi\)
0.998559 + 0.0536676i \(0.0170911\pi\)
\(230\) −3.36973 1.94552i −0.222194 0.128284i
\(231\) −8.69960 2.91451i −0.572391 0.191760i
\(232\) 1.73163 + 0.463989i 0.113687 + 0.0304624i
\(233\) −0.775199 + 0.447562i −0.0507850 + 0.0293207i −0.525178 0.850993i \(-0.676001\pi\)
0.474393 + 0.880313i \(0.342668\pi\)
\(234\) −3.58618 0.373290i −0.234436 0.0244027i
\(235\) 16.8571 29.1973i 1.09963 1.90462i
\(236\) 2.57541 + 9.61156i 0.167645 + 0.625659i
\(237\) 6.64749 3.83793i 0.431801 0.249300i
\(238\) −3.12655 1.04745i −0.202664 0.0678958i
\(239\) 12.8578 + 12.8578i 0.831703 + 0.831703i 0.987750 0.156047i \(-0.0498750\pi\)
−0.156047 + 0.987750i \(0.549875\pi\)
\(240\) 2.06747 + 2.06747i 0.133454 + 0.133454i
\(241\) −7.12871 + 26.6047i −0.459201 + 1.71376i 0.216235 + 0.976341i \(0.430622\pi\)
−0.675436 + 0.737419i \(0.736045\pi\)
\(242\) −0.265375 0.990395i −0.0170590 0.0636650i
\(243\) 1.00000i 0.0641500i
\(244\) −3.88473 6.72855i −0.248695 0.430752i
\(245\) 16.1377 12.5885i 1.03100 0.804247i
\(246\) 2.27763i 0.145217i
\(247\) −14.4178 + 6.43652i −0.917380 + 0.409546i
\(248\) 1.48395 + 0.856761i 0.0942312 + 0.0544044i
\(249\) −2.31664 2.31664i −0.146811 0.146811i
\(250\) −3.67451 2.12148i −0.232397 0.134174i
\(251\) 2.08228 3.60662i 0.131433 0.227648i −0.792796 0.609487i \(-0.791376\pi\)
0.924229 + 0.381839i \(0.124709\pi\)
\(252\) 1.46112 2.20570i 0.0920421 0.138946i
\(253\) −4.45763 + 1.19442i −0.280248 + 0.0750924i
\(254\) −2.95687 + 2.95687i −0.185531 + 0.185531i
\(255\) −3.51975 + 0.943115i −0.220416 + 0.0590602i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 9.76507 16.9136i 0.609128 1.05504i −0.382256 0.924056i \(-0.624853\pi\)
0.991384 0.130985i \(-0.0418139\pi\)
\(258\) 1.36291 5.08645i 0.0848511 0.316669i
\(259\) 6.77735 + 7.66624i 0.421124 + 0.476357i
\(260\) 10.4854 + 1.09144i 0.650277 + 0.0676882i
\(261\) −0.896358 1.55254i −0.0554832 0.0960997i
\(262\) −13.6082 + 13.6082i −0.840715 + 0.840715i
\(263\) −8.42237 −0.519346 −0.259673 0.965697i \(-0.583615\pi\)
−0.259673 + 0.965697i \(0.583615\pi\)
\(264\) 3.46776 0.213426
\(265\) −12.2795 + 12.2795i −0.754325 + 0.754325i
\(266\) 0.711695 11.5643i 0.0436368 0.709050i
\(267\) 1.92669 + 7.19049i 0.117911 + 0.440051i
\(268\) −3.35483 0.898924i −0.204929 0.0549105i
\(269\) 6.98743 4.03419i 0.426031 0.245969i −0.271623 0.962404i \(-0.587560\pi\)
0.697654 + 0.716435i \(0.254227\pi\)
\(270\) 2.92384i 0.177939i
\(271\) −13.3593 + 3.57961i −0.811519 + 0.217446i −0.640635 0.767845i \(-0.721329\pi\)
−0.170884 + 0.985291i \(0.554662\pi\)
\(272\) 1.24628 0.0755667
\(273\) −0.920230 9.49490i −0.0556948 0.574658i
\(274\) −16.3111 −0.985392
\(275\) 11.8872 3.18516i 0.716823 0.192072i
\(276\) 1.33080i 0.0801045i
\(277\) 5.72080 3.30291i 0.343730 0.198452i −0.318190 0.948027i \(-0.603075\pi\)
0.661920 + 0.749574i \(0.269742\pi\)
\(278\) 13.4497 + 3.60383i 0.806657 + 0.216143i
\(279\) −0.443492 1.65514i −0.0265512 0.0990904i
\(280\) −4.27209 + 6.44912i −0.255306 + 0.385408i
\(281\) 7.87812 7.87812i 0.469969 0.469969i −0.431935 0.901905i \(-0.642169\pi\)
0.901905 + 0.431935i \(0.142169\pi\)
\(282\) 11.5308 0.686647
\(283\) 19.1650 1.13924 0.569619 0.821909i \(-0.307091\pi\)
0.569619 + 0.821909i \(0.307091\pi\)
\(284\) −6.73821 + 6.73821i −0.399839 + 0.399839i
\(285\) −6.40197 11.0885i −0.379220 0.656828i
\(286\) 9.70890 7.87823i 0.574099 0.465850i
\(287\) 5.90553 1.19917i 0.348592 0.0707845i
\(288\) −0.258819 + 0.965926i −0.0152511 + 0.0569177i
\(289\) 7.72340 13.3773i 0.454317 0.786901i
\(290\) 2.62081 + 4.53937i 0.153899 + 0.266561i
\(291\) 10.4481 2.79955i 0.612476 0.164113i
\(292\) 11.3474 11.3474i 0.664057 0.664057i
\(293\) −13.4509 + 3.60415i −0.785807 + 0.210556i −0.629343 0.777127i \(-0.716676\pi\)
−0.156464 + 0.987684i \(0.550009\pi\)
\(294\) 6.48830 + 2.62716i 0.378405 + 0.153219i
\(295\) −14.5470 + 25.1962i −0.846959 + 1.46698i
\(296\) −3.34937 1.93376i −0.194678 0.112397i
\(297\) −2.45207 2.45207i −0.142284 0.142284i
\(298\) 10.6777 + 6.16476i 0.618542 + 0.357115i
\(299\) −3.02337 3.72591i −0.174846 0.215475i
\(300\) 3.54884i 0.204892i
\(301\) 13.9059 + 0.855806i 0.801523 + 0.0493278i
\(302\) −3.72146 6.44576i −0.214146 0.370912i
\(303\) 6.56962i 0.377415i
\(304\) 1.13341 + 4.22993i 0.0650054 + 0.242603i
\(305\) 5.87951 21.9426i 0.336660 1.25643i
\(306\) −0.881252 0.881252i −0.0503778 0.0503778i
\(307\) 1.15724 + 1.15724i 0.0660473 + 0.0660473i 0.739359 0.673312i \(-0.235129\pi\)
−0.673312 + 0.739359i \(0.735129\pi\)
\(308\) 1.82576 + 8.99132i 0.104032 + 0.512328i
\(309\) 14.4928 8.36742i 0.824466 0.476006i
\(310\) 1.29670 + 4.83935i 0.0736476 + 0.274857i
\(311\) −0.552024 + 0.956133i −0.0313024 + 0.0542173i −0.881252 0.472646i \(-0.843299\pi\)
0.849950 + 0.526864i \(0.176632\pi\)
\(312\) 1.46981 + 3.29236i 0.0832116 + 0.186393i
\(313\) 11.9513 6.90007i 0.675526 0.390015i −0.122642 0.992451i \(-0.539137\pi\)
0.798167 + 0.602436i \(0.205803\pi\)
\(314\) 9.59641 + 2.57135i 0.541557 + 0.145110i
\(315\) 7.58104 1.53939i 0.427143 0.0867349i
\(316\) −6.64749 3.83793i −0.373951 0.215900i
\(317\) −5.56818 + 20.7807i −0.312740 + 1.16716i 0.613335 + 0.789823i \(0.289827\pi\)
−0.926075 + 0.377339i \(0.876839\pi\)
\(318\) −5.73702 1.53723i −0.321716 0.0862036i
\(319\) 6.00488 + 1.60900i 0.336208 + 0.0900868i
\(320\) 0.756745 2.82421i 0.0423034 0.157878i
\(321\) 17.4652 + 10.0835i 0.974811 + 0.562807i
\(322\) 3.45053 0.700659i 0.192291 0.0390462i
\(323\) −5.27167 1.41254i −0.293324 0.0785959i
\(324\) 0.866025 0.500000i 0.0481125 0.0277778i
\(325\) 8.06244 + 9.93591i 0.447224 + 0.551145i
\(326\) 1.93953 3.35937i 0.107421 0.186058i
\(327\) −4.97295 18.5593i −0.275005 1.02633i
\(328\) −1.97249 + 1.13882i −0.108912 + 0.0628806i
\(329\) 6.07091 + 29.8974i 0.334700 + 1.64830i
\(330\) 7.16947 + 7.16947i 0.394666 + 0.394666i
\(331\) −19.5495 19.5495i −1.07454 1.07454i −0.996989 0.0775473i \(-0.975291\pi\)
−0.0775473 0.996989i \(-0.524709\pi\)
\(332\) −0.847948 + 3.16458i −0.0465372 + 0.173679i
\(333\) 1.00099 + 3.73573i 0.0548537 + 0.204717i
\(334\) 16.1815i 0.885415i
\(335\) −5.07750 8.79449i −0.277414 0.480495i
\(336\) −2.64076 0.162519i −0.144065 0.00886614i
\(337\) 0.926097i 0.0504477i 0.999682 + 0.0252239i \(0.00802985\pi\)
−0.999682 + 0.0252239i \(0.991970\pi\)
\(338\) 11.5949 + 5.87865i 0.630679 + 0.319757i
\(339\) −9.64811 5.57034i −0.524014 0.302539i
\(340\) 2.57664 + 2.57664i 0.139738 + 0.139738i
\(341\) 5.14599 + 2.97104i 0.278671 + 0.160891i
\(342\) 2.18957 3.79246i 0.118399 0.205072i
\(343\) −3.39573 + 18.2063i −0.183352 + 0.983047i
\(344\) −5.08645 + 1.36291i −0.274243 + 0.0734832i
\(345\) 2.75138 2.75138i 0.148129 0.148129i
\(346\) 5.18493 1.38930i 0.278744 0.0746891i
\(347\) −0.704206 1.21972i −0.0378037 0.0654780i 0.846504 0.532382i \(-0.178703\pi\)
−0.884308 + 0.466904i \(0.845370\pi\)
\(348\) −0.896358 + 1.55254i −0.0480499 + 0.0832248i
\(349\) −8.02729 + 29.9583i −0.429691 + 1.60363i 0.323769 + 0.946136i \(0.395050\pi\)
−0.753460 + 0.657493i \(0.771617\pi\)
\(350\) −9.20156 + 1.86845i −0.491844 + 0.0998729i
\(351\) 1.28874 3.36737i 0.0687879 0.179737i
\(352\) −1.73388 3.00316i −0.0924160 0.160069i
\(353\) −6.80416 + 6.80416i −0.362149 + 0.362149i −0.864604 0.502455i \(-0.832430\pi\)
0.502455 + 0.864604i \(0.332430\pi\)
\(354\) −9.95062 −0.528869
\(355\) −27.8620 −1.47876
\(356\) 5.26380 5.26380i 0.278981 0.278981i
\(357\) 1.82097 2.74892i 0.0963757 0.145488i
\(358\) 3.92065 + 14.6321i 0.207213 + 0.773329i
\(359\) −7.02546 1.88247i −0.370790 0.0993528i 0.0686122 0.997643i \(-0.478143\pi\)
−0.439402 + 0.898291i \(0.644810\pi\)
\(360\) −2.53212 + 1.46192i −0.133454 + 0.0770499i
\(361\) 0.176954i 0.00931339i
\(362\) 8.62716 2.31164i 0.453433 0.121497i
\(363\) 1.02533 0.0538160
\(364\) −7.76271 + 5.54439i −0.406877 + 0.290605i
\(365\) 46.9208 2.45595
\(366\) 7.50473 2.01089i 0.392278 0.105111i
\(367\) 34.7936i 1.81621i 0.418740 + 0.908106i \(0.362472\pi\)
−0.418740 + 0.908106i \(0.637528\pi\)
\(368\) −1.15250 + 0.665398i −0.0600783 + 0.0346862i
\(369\) 2.20002 + 0.589495i 0.114529 + 0.0306879i
\(370\) −2.92672 10.9227i −0.152153 0.567843i
\(371\) 0.965266 15.6845i 0.0501141 0.814299i
\(372\) −1.21164 + 1.21164i −0.0628208 + 0.0628208i
\(373\) 13.2174 0.684371 0.342185 0.939633i \(-0.388833\pi\)
0.342185 + 0.939633i \(0.388833\pi\)
\(374\) 4.32179 0.223474
\(375\) 3.00023 3.00023i 0.154931 0.154931i
\(376\) −5.76538 9.98594i −0.297327 0.514985i
\(377\) 1.01755 + 6.38314i 0.0524063 + 0.328748i
\(378\) 1.75238 + 1.98221i 0.0901326 + 0.101954i
\(379\) −2.58134 + 9.63370i −0.132595 + 0.494850i −0.999996 0.00275893i \(-0.999122\pi\)
0.867402 + 0.497609i \(0.165788\pi\)
\(380\) −6.40197 + 11.0885i −0.328414 + 0.568830i
\(381\) −2.09082 3.62141i −0.107116 0.185531i
\(382\) 18.9327 5.07299i 0.968680 0.259557i
\(383\) −21.5550 + 21.5550i −1.10141 + 1.10141i −0.107166 + 0.994241i \(0.534178\pi\)
−0.994241 + 0.107166i \(0.965822\pi\)
\(384\) 0.965926 0.258819i 0.0492922 0.0132078i
\(385\) −14.8146 + 22.3640i −0.755020 + 1.13977i
\(386\) 4.38159 7.58914i 0.223017 0.386277i
\(387\) 4.56039 + 2.63294i 0.231818 + 0.133840i
\(388\) −7.64851 7.64851i −0.388294 0.388294i
\(389\) 31.0688 + 17.9376i 1.57525 + 0.909470i 0.995509 + 0.0946679i \(0.0301789\pi\)
0.579739 + 0.814802i \(0.303154\pi\)
\(390\) −3.76807 + 9.84564i −0.190804 + 0.498553i
\(391\) 1.65854i 0.0838760i
\(392\) −0.968963 6.93261i −0.0489400 0.350150i
\(393\) −9.62242 16.6665i −0.485387 0.840715i
\(394\) 10.9102i 0.549647i
\(395\) −5.80867 21.6783i −0.292266 1.09075i
\(396\) −0.897521 + 3.34960i −0.0451021 + 0.168323i
\(397\) −16.6291 16.6291i −0.834593 0.834593i 0.153549 0.988141i \(-0.450930\pi\)
−0.988141 + 0.153549i \(0.950930\pi\)
\(398\) 11.3857 + 11.3857i 0.570713 + 0.570713i
\(399\) 10.9860 + 3.68050i 0.549989 + 0.184255i
\(400\) 3.07338 1.77442i 0.153669 0.0887210i
\(401\) −8.63266 32.2175i −0.431094 1.60887i −0.750244 0.661162i \(-0.770064\pi\)
0.319149 0.947704i \(-0.396603\pi\)
\(402\) 1.73659 3.00786i 0.0866131 0.150018i
\(403\) −0.639640 + 6.14499i −0.0318627 + 0.306104i
\(404\) −5.68945 + 3.28481i −0.283061 + 0.163425i
\(405\) 2.82421 + 0.756745i 0.140336 + 0.0376030i
\(406\) −4.49741 1.50671i −0.223203 0.0747765i
\(407\) −11.6148 6.70580i −0.575724 0.332394i
\(408\) −0.322560 + 1.20381i −0.0159691 + 0.0595976i
\(409\) −25.0607 6.71499i −1.23917 0.332035i −0.421027 0.907048i \(-0.638330\pi\)
−0.818144 + 0.575013i \(0.804997\pi\)
\(410\) −6.43252 1.72359i −0.317679 0.0851219i
\(411\) 4.22164 15.7554i 0.208238 0.777154i
\(412\) −14.4928 8.36742i −0.714009 0.412233i
\(413\) −5.23896 25.8003i −0.257793 1.26955i
\(414\) 1.28545 + 0.344435i 0.0631764 + 0.0169281i
\(415\) −8.29578 + 4.78957i −0.407224 + 0.235111i
\(416\) 2.11637 2.91907i 0.103763 0.143119i
\(417\) −6.96206 + 12.0586i −0.340934 + 0.590514i
\(418\) 3.93038 + 14.6684i 0.192241 + 0.717454i
\(419\) 30.4185 17.5621i 1.48604 0.857966i 0.486167 0.873866i \(-0.338395\pi\)
0.999874 + 0.0159001i \(0.00506136\pi\)
\(420\) −5.12367 5.79568i −0.250010 0.282800i
\(421\) −24.7826 24.7826i −1.20783 1.20783i −0.971729 0.236099i \(-0.924131\pi\)
−0.236099 0.971729i \(-0.575869\pi\)
\(422\) −2.88215 2.88215i −0.140301 0.140301i
\(423\) −2.98438 + 11.1379i −0.145106 + 0.541542i
\(424\) 1.53723 + 5.73702i 0.0746545 + 0.278615i
\(425\) 4.42284i 0.214539i
\(426\) −4.76463 8.25258i −0.230847 0.399839i
\(427\) 9.16511 + 18.3998i 0.443531 + 0.890429i
\(428\) 20.1670i 0.974811i
\(429\) 5.09694 + 11.4171i 0.246083 + 0.551223i
\(430\) −13.3338 7.69830i −0.643015 0.371245i
\(431\) 15.4341 + 15.4341i 0.743434 + 0.743434i 0.973237 0.229803i \(-0.0738082\pi\)
−0.229803 + 0.973237i \(0.573808\pi\)
\(432\) −0.866025 0.500000i −0.0416667 0.0240563i
\(433\) 2.92764 5.07082i 0.140693 0.243688i −0.787065 0.616871i \(-0.788400\pi\)
0.927758 + 0.373183i \(0.121734\pi\)
\(434\) −3.77952 2.50367i −0.181423 0.120180i
\(435\) −5.06301 + 1.35663i −0.242753 + 0.0650454i
\(436\) −13.5864 + 13.5864i −0.650669 + 0.650669i
\(437\) 5.62918 1.50833i 0.269280 0.0721534i
\(438\) 8.02383 + 13.8977i 0.383393 + 0.664057i
\(439\) −20.0524 + 34.7317i −0.957048 + 1.65766i −0.227437 + 0.973793i \(0.573034\pi\)
−0.729611 + 0.683862i \(0.760299\pi\)
\(440\) 2.62421 9.79368i 0.125104 0.466895i
\(441\) −4.21694 + 5.58726i −0.200807 + 0.266060i
\(442\) 1.83179 + 4.10320i 0.0871294 + 0.195169i
\(443\) −11.1323 19.2817i −0.528911 0.916100i −0.999432 0.0337113i \(-0.989267\pi\)
0.470521 0.882389i \(-0.344066\pi\)
\(444\) 2.73475 2.73475i 0.129785 0.129785i
\(445\) 21.7655 1.03178
\(446\) 25.0288 1.18515
\(447\) −8.71829 + 8.71829i −0.412361 + 0.412361i
\(448\) 1.17963 + 2.36822i 0.0557324 + 0.111888i
\(449\) −3.51496 13.1180i −0.165881 0.619077i −0.997926 0.0643689i \(-0.979497\pi\)
0.832045 0.554708i \(-0.187170\pi\)
\(450\) −3.42791 0.918507i −0.161593 0.0432988i
\(451\) −6.84011 + 3.94914i −0.322088 + 0.185958i
\(452\) 11.1407i 0.524014i
\(453\) 7.18931 1.92637i 0.337783 0.0905087i
\(454\) −2.48492 −0.116623
\(455\) −27.5120 4.58630i −1.28978 0.215009i
\(456\) −4.37915 −0.205072
\(457\) 20.0893 5.38292i 0.939739 0.251802i 0.243736 0.969842i \(-0.421627\pi\)
0.696002 + 0.718039i \(0.254960\pi\)
\(458\) 6.25307i 0.292187i
\(459\) 1.07931 0.623139i 0.0503778 0.0290856i
\(460\) −3.75845 1.00707i −0.175239 0.0469550i
\(461\) 8.58810 + 32.0512i 0.399988 + 1.49277i 0.813116 + 0.582102i \(0.197769\pi\)
−0.413128 + 0.910673i \(0.635564\pi\)
\(462\) −9.15749 0.563576i −0.426045 0.0262199i
\(463\) −9.28412 + 9.28412i −0.431470 + 0.431470i −0.889128 0.457658i \(-0.848688\pi\)
0.457658 + 0.889128i \(0.348688\pi\)
\(464\) 1.79272 0.0832248
\(465\) −5.01007 −0.232336
\(466\) −0.632948 + 0.632948i −0.0293207 + 0.0293207i
\(467\) 3.85091 + 6.66997i 0.178199 + 0.308650i 0.941264 0.337672i \(-0.109640\pi\)
−0.763065 + 0.646322i \(0.776306\pi\)
\(468\) −3.56059 + 0.567601i −0.164589 + 0.0262373i
\(469\) 8.71319 + 2.91906i 0.402338 + 0.134790i
\(470\) 8.72586 32.5653i 0.402494 1.50213i
\(471\) −4.96747 + 8.60391i −0.228889 + 0.396447i
\(472\) 4.97531 + 8.61749i 0.229007 + 0.396652i
\(473\) −17.6386 + 4.72624i −0.811022 + 0.217313i
\(474\) 5.42765 5.42765i 0.249300 0.249300i
\(475\) −15.0114 + 4.02228i −0.688768 + 0.184555i
\(476\) −3.29111 0.202544i −0.150848 0.00928358i
\(477\) 2.96970 5.14367i 0.135973 0.235513i
\(478\) 15.7475 + 9.09185i 0.720276 + 0.415852i
\(479\) −18.3398 18.3398i −0.837965 0.837965i 0.150626 0.988591i \(-0.451871\pi\)
−0.988591 + 0.150626i \(0.951871\pi\)
\(480\) 2.53212 + 1.46192i 0.115575 + 0.0667272i
\(481\) 1.44370 13.8696i 0.0658272 0.632399i
\(482\) 27.5432i 1.25456i
\(483\) −0.216280 + 3.51430i −0.00984106 + 0.159906i
\(484\) −0.512666 0.887964i −0.0233030 0.0403620i
\(485\) 31.6261i 1.43607i
\(486\) 0.258819 + 0.965926i 0.0117403 + 0.0438153i
\(487\) 9.96607 37.1939i 0.451606 1.68542i −0.246273 0.969200i \(-0.579206\pi\)
0.697879 0.716215i \(-0.254127\pi\)
\(488\) −5.49384 5.49384i −0.248695 0.248695i
\(489\) 2.74291 + 2.74291i 0.124039 + 0.124039i
\(490\) 12.3296 16.3362i 0.556997 0.737996i
\(491\) 15.5396 8.97180i 0.701293 0.404891i −0.106536 0.994309i \(-0.533976\pi\)
0.807829 + 0.589417i \(0.200643\pi\)
\(492\) −0.589495 2.20002i −0.0265765 0.0991848i
\(493\) −1.11711 + 1.93489i −0.0503122 + 0.0871432i
\(494\) −12.2606 + 9.94879i −0.551630 + 0.447617i
\(495\) −8.78077 + 5.06958i −0.394666 + 0.227861i
\(496\) 1.65514 + 0.443492i 0.0743178 + 0.0199134i
\(497\) 18.8890 16.6989i 0.847289 0.749046i
\(498\) −2.83729 1.63811i −0.127142 0.0734055i
\(499\) −4.90053 + 18.2890i −0.219378 + 0.818729i 0.765202 + 0.643791i \(0.222639\pi\)
−0.984579 + 0.174938i \(0.944027\pi\)
\(500\) −4.09839 1.09816i −0.183285 0.0491112i
\(501\) −15.6302 4.18809i −0.698305 0.187110i
\(502\) 1.07787 4.02266i 0.0481077 0.179540i
\(503\) 14.9482 + 8.63035i 0.666507 + 0.384808i 0.794752 0.606934i \(-0.207601\pi\)
−0.128245 + 0.991743i \(0.540934\pi\)
\(504\) 0.840459 2.50871i 0.0374370 0.111747i
\(505\) −18.5540 4.97153i −0.825642 0.221230i
\(506\) −3.99660 + 2.30744i −0.177670 + 0.102578i
\(507\) −8.67932 + 9.67830i −0.385462 + 0.429828i
\(508\) −2.09082 + 3.62141i −0.0927653 + 0.160674i
\(509\) 7.04360 + 26.2871i 0.312202 + 1.16515i 0.926566 + 0.376131i \(0.122746\pi\)
−0.614364 + 0.789023i \(0.710587\pi\)
\(510\) −3.15572 + 1.82196i −0.139738 + 0.0806777i
\(511\) −31.8099 + 28.1216i −1.40719 + 1.24402i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) 3.09653 + 3.09653i 0.136715 + 0.136715i
\(514\) 5.05477 18.8647i 0.222956 0.832085i
\(515\) −12.6640 47.2627i −0.558043 2.08265i
\(516\) 5.26588i 0.231818i
\(517\) −19.9929 34.6288i −0.879289 1.52297i
\(518\) 8.53058 + 5.65092i 0.374812 + 0.248287i
\(519\) 5.36783i 0.235622i
\(520\) 10.4106 1.65957i 0.456535 0.0727771i
\(521\) 6.52885 + 3.76943i 0.286034 + 0.165142i 0.636152 0.771564i \(-0.280525\pi\)
−0.350118 + 0.936706i \(0.613859\pi\)
\(522\) −1.26764 1.26764i −0.0554832 0.0554832i
\(523\) 37.4317 + 21.6112i 1.63678 + 0.944993i 0.981933 + 0.189227i \(0.0605981\pi\)
0.654842 + 0.755766i \(0.272735\pi\)
\(524\) −9.62242 + 16.6665i −0.420357 + 0.728080i
\(525\) 0.576754 9.37161i 0.0251716 0.409011i
\(526\) −8.13539 + 2.17987i −0.354720 + 0.0950469i
\(527\) −1.51004 + 1.51004i −0.0657786 + 0.0657786i
\(528\) 3.34960 0.897521i 0.145772 0.0390596i
\(529\) −10.6145 18.3848i −0.461500 0.799341i
\(530\) −8.68293 + 15.0393i −0.377162 + 0.653265i
\(531\) 2.57541 9.61156i 0.111763 0.417106i
\(532\) −2.30561 11.3544i −0.0999607 0.492277i
\(533\) −6.64858 4.82030i −0.287982 0.208791i
\(534\) 3.72207 + 6.44682i 0.161070 + 0.278981i
\(535\) 41.6947 41.6947i 1.80262 1.80262i
\(536\) −3.47317 −0.150018
\(537\) −15.1482 −0.653694
\(538\) 5.70521 5.70521i 0.245969 0.245969i
\(539\) −3.36013 24.0406i −0.144731 1.03550i
\(540\) −0.756745 2.82421i −0.0325651 0.121535i
\(541\) −14.9723 4.01181i −0.643708 0.172481i −0.0778257 0.996967i \(-0.524798\pi\)
−0.565883 + 0.824486i \(0.691464\pi\)
\(542\) −11.9776 + 6.91528i −0.514482 + 0.297037i
\(543\) 8.93149i 0.383287i
\(544\) 1.20381 0.322560i 0.0516130 0.0138297i
\(545\) −56.1787 −2.40643
\(546\) −3.34634 8.93320i −0.143210 0.382306i
\(547\) 12.0848 0.516707 0.258353 0.966050i \(-0.416820\pi\)
0.258353 + 0.966050i \(0.416820\pi\)
\(548\) −15.7554 + 4.22164i −0.673035 + 0.180339i
\(549\) 7.76947i 0.331593i
\(550\) 10.6577 6.15325i 0.454448 0.262376i
\(551\) −7.58307 2.03188i −0.323050 0.0865609i
\(552\) −0.344435 1.28545i −0.0146601 0.0547124i
\(553\) 16.9307 + 11.2154i 0.719965 + 0.476926i
\(554\) 4.67101 4.67101i 0.198452 0.198452i
\(555\) 11.3080 0.479998
\(556\) 13.9241 0.590514
\(557\) 16.3653 16.3653i 0.693420 0.693420i −0.269563 0.962983i \(-0.586879\pi\)
0.962983 + 0.269563i \(0.0868791\pi\)
\(558\) −0.856761 1.48395i −0.0362696 0.0628208i
\(559\) −11.9633 14.7432i −0.505994 0.623572i
\(560\) −2.45737 + 7.33507i −0.103843 + 0.309963i
\(561\) −1.11856 + 4.17453i −0.0472257 + 0.176249i
\(562\) 5.57067 9.64869i 0.234985 0.407005i
\(563\) 4.91553 + 8.51395i 0.207165 + 0.358820i 0.950820 0.309743i \(-0.100243\pi\)
−0.743655 + 0.668563i \(0.766910\pi\)
\(564\) 11.1379 2.98438i 0.468989 0.125665i
\(565\) −23.0330 + 23.0330i −0.969005 + 0.969005i
\(566\) 18.5119 4.96026i 0.778114 0.208495i
\(567\) −2.36822 + 1.17963i −0.0994559 + 0.0495399i
\(568\) −4.76463 + 8.25258i −0.199919 + 0.346271i
\(569\) −15.2959 8.83112i −0.641239 0.370220i 0.143852 0.989599i \(-0.454051\pi\)
−0.785092 + 0.619379i \(0.787384\pi\)
\(570\) −9.05375 9.05375i −0.379220 0.379220i
\(571\) 23.6251 + 13.6399i 0.988678 + 0.570814i 0.904879 0.425669i \(-0.139961\pi\)
0.0837994 + 0.996483i \(0.473295\pi\)
\(572\) 7.33904 10.1226i 0.306861 0.423249i
\(573\) 19.6005i 0.818824i
\(574\) 5.39394 2.68677i 0.225139 0.112144i
\(575\) −2.36139 4.09005i −0.0984767 0.170567i
\(576\) 1.00000i 0.0416667i
\(577\) 1.03370 + 3.85783i 0.0430335 + 0.160603i 0.984099 0.177621i \(-0.0568402\pi\)
−0.941065 + 0.338225i \(0.890174\pi\)
\(578\) 3.99792 14.9205i 0.166292 0.620609i
\(579\) 6.19651 + 6.19651i 0.257518 + 0.257518i
\(580\) 3.70638 + 3.70638i 0.153899 + 0.153899i
\(581\) 2.75353 8.21909i 0.114236 0.340985i
\(582\) 9.36748 5.40832i 0.388294 0.224182i
\(583\) 5.33074 + 19.8946i 0.220777 + 0.823950i
\(584\) 8.02383 13.8977i 0.332028 0.575090i
\(585\) −8.53491 6.18791i −0.352875 0.255839i
\(586\) −12.0597 + 6.96267i −0.498182 + 0.287625i
\(587\) −36.4120 9.75655i −1.50288 0.402696i −0.588818 0.808266i \(-0.700407\pi\)
−0.914064 + 0.405570i \(0.867073\pi\)
\(588\) 6.94718 + 0.858346i 0.286497 + 0.0353976i
\(589\) −6.49846 3.75189i −0.267764 0.154594i
\(590\) −7.53008 + 28.1027i −0.310009 + 1.15697i
\(591\) −10.5384 2.82376i −0.433493 0.116154i
\(592\) −3.73573 1.00099i −0.153538 0.0411403i
\(593\) −5.39659 + 20.1404i −0.221611 + 0.827065i 0.762122 + 0.647433i \(0.224157\pi\)
−0.983734 + 0.179632i \(0.942509\pi\)
\(594\) −3.00316 1.73388i −0.123221 0.0711419i
\(595\) −6.38552 7.22302i −0.261781 0.296115i
\(596\) 11.9094 + 3.19112i 0.487829 + 0.130713i
\(597\) −13.9446 + 8.05090i −0.570713 + 0.329502i
\(598\) −3.88469 2.81645i −0.158857 0.115173i
\(599\) −12.3956 + 21.4699i −0.506472 + 0.877235i 0.493500 + 0.869746i \(0.335717\pi\)
−0.999972 + 0.00748950i \(0.997616\pi\)
\(600\) 0.918507 + 3.42791i 0.0374979 + 0.139944i
\(601\) 2.04852 1.18271i 0.0835608 0.0482438i −0.457637 0.889139i \(-0.651304\pi\)
0.541198 + 0.840895i \(0.317971\pi\)
\(602\) 13.6536 2.77247i 0.556478 0.112997i
\(603\) 2.45591 + 2.45591i 0.100012 + 0.100012i
\(604\) −5.26294 5.26294i −0.214146 0.214146i
\(605\) 0.775915 2.89576i 0.0315454 0.117729i
\(606\) −1.70034 6.34576i −0.0690717 0.257779i
\(607\) 39.5041i 1.60342i −0.597712 0.801711i \(-0.703923\pi\)
0.597712 0.801711i \(-0.296077\pi\)
\(608\) 2.18957 + 3.79246i 0.0887990 + 0.153804i
\(609\) 2.61938 3.95420i 0.106143 0.160232i
\(610\) 22.7167i 0.919771i
\(611\) 24.4033 33.6592i 0.987253 1.36170i
\(612\) −1.07931 0.623139i −0.0436285 0.0251889i
\(613\) −24.8496 24.8496i −1.00367 1.00367i −0.999993 0.00367329i \(-0.998831\pi\)
−0.00367329 0.999993i \(-0.501169\pi\)
\(614\) 1.41733 + 0.818294i 0.0571987 + 0.0330237i
\(615\) 3.32972 5.76724i 0.134267 0.232557i
\(616\) 4.09068 + 8.21241i 0.164818 + 0.330887i
\(617\) −13.7662 + 3.68865i −0.554207 + 0.148499i −0.525044 0.851075i \(-0.675951\pi\)
−0.0291634 + 0.999575i \(0.509284\pi\)
\(618\) 11.8333 11.8333i 0.476006 0.476006i
\(619\) −1.20899 + 0.323948i −0.0485934 + 0.0130206i −0.283034 0.959110i \(-0.591341\pi\)
0.234440 + 0.972130i \(0.424674\pi\)
\(620\) 2.50503 + 4.33884i 0.100605 + 0.174252i
\(621\) −0.665398 + 1.15250i −0.0267015 + 0.0462483i
\(622\) −0.285748 + 1.06643i −0.0114575 + 0.0427598i
\(623\) −14.7559 + 13.0449i −0.591182 + 0.522635i
\(624\) 2.27185 + 2.79976i 0.0909469 + 0.112080i
\(625\) −15.0750 26.1106i −0.602999 1.04442i
\(626\) 9.75817 9.75817i 0.390015 0.390015i
\(627\) −15.1858 −0.606463
\(628\) 9.93494 0.396447
\(629\) 3.40825 3.40825i 0.135896 0.135896i
\(630\) 6.92430 3.44905i 0.275871 0.137414i
\(631\) −5.63407 21.0266i −0.224289 0.837058i −0.982688 0.185267i \(-0.940685\pi\)
0.758399 0.651790i \(-0.225982\pi\)
\(632\) −7.41431 1.98666i −0.294926 0.0790251i
\(633\) 3.52990 2.03799i 0.140301 0.0810028i
\(634\) 21.5138i 0.854421i
\(635\) −11.8099 + 3.16444i −0.468660 + 0.125577i
\(636\) −5.93940 −0.235513
\(637\) 21.4005 13.3798i 0.847918 0.530127i
\(638\) 6.21670 0.246122
\(639\) 9.20456 2.46635i 0.364127 0.0975675i
\(640\) 2.92384i 0.115575i
\(641\) −36.8798 + 21.2926i −1.45666 + 0.841006i −0.998845 0.0480396i \(-0.984703\pi\)
−0.457819 + 0.889045i \(0.651369\pi\)
\(642\) 19.4799 + 5.21961i 0.768809 + 0.206002i
\(643\) −8.24101 30.7559i −0.324994 1.21289i −0.914318 0.404996i \(-0.867273\pi\)
0.589325 0.807896i \(-0.299394\pi\)
\(644\) 3.15162 1.56985i 0.124191 0.0618607i
\(645\) 10.8870 10.8870i 0.428677 0.428677i
\(646\) −5.45764 −0.214728
\(647\) 2.97164 0.116827 0.0584136 0.998292i \(-0.481396\pi\)
0.0584136 + 0.998292i \(0.481396\pi\)
\(648\) 0.707107 0.707107i 0.0277778 0.0277778i
\(649\) 17.2532 + 29.8833i 0.677246 + 1.17302i
\(650\) 10.3593 + 7.51064i 0.406326 + 0.294592i
\(651\) 3.39657 3.00274i 0.133122 0.117687i
\(652\) 1.00398 3.74689i 0.0393187 0.146739i
\(653\) −22.7558 + 39.4142i −0.890504 + 1.54240i −0.0512317 + 0.998687i \(0.516315\pi\)
−0.839272 + 0.543711i \(0.817019\pi\)
\(654\) −9.60701 16.6398i −0.375664 0.650669i
\(655\) −54.3515 + 14.5634i −2.12369 + 0.569041i
\(656\) −1.61053 + 1.61053i −0.0628806 + 0.0628806i
\(657\) −15.5008 + 4.15344i −0.604746 + 0.162041i
\(658\) 13.6021 + 27.3074i 0.530264 + 1.06455i
\(659\) −4.60455 + 7.97531i −0.179368 + 0.310674i −0.941664 0.336554i \(-0.890739\pi\)
0.762296 + 0.647228i \(0.224072\pi\)
\(660\) 8.78077 + 5.06958i 0.341791 + 0.197333i
\(661\) −19.7310 19.7310i −0.767446 0.767446i 0.210211 0.977656i \(-0.432585\pi\)
−0.977656 + 0.210211i \(0.932585\pi\)
\(662\) −23.9431 13.8236i −0.930575 0.537268i
\(663\) −4.43749 + 0.707388i −0.172338 + 0.0274727i
\(664\) 3.27622i 0.127142i
\(665\) 18.7081 28.2417i 0.725470 1.09516i
\(666\) 1.93376 + 3.34937i 0.0749316 + 0.129785i
\(667\) 2.38574i 0.0923762i
\(668\) 4.18809 + 15.6302i 0.162042 + 0.604750i
\(669\) −6.47794 + 24.1760i −0.250452 + 0.934698i
\(670\) −7.18067 7.18067i −0.277414 0.277414i
\(671\) −19.0513 19.0513i −0.735467 0.735467i
\(672\) −2.59284 + 0.526496i −0.100021 + 0.0203100i
\(673\) −32.1731 + 18.5751i −1.24018 + 0.716018i −0.969131 0.246547i \(-0.920704\pi\)
−0.271049 + 0.962565i \(0.587371\pi\)
\(674\) 0.239692 + 0.894541i 0.00923257 + 0.0344564i
\(675\) 1.77442 3.07338i 0.0682974 0.118295i
\(676\) 12.7213 + 2.67736i 0.489281 + 0.102976i
\(677\) 3.29099 1.90006i 0.126483 0.0730251i −0.435423 0.900226i \(-0.643401\pi\)
0.561907 + 0.827201i \(0.310068\pi\)
\(678\) −10.7611 2.88342i −0.413277 0.110737i
\(679\) 18.9548 + 21.4409i 0.727419 + 0.822826i
\(680\) 3.15572 + 1.82196i 0.121017 + 0.0698689i
\(681\) 0.643146 2.40025i 0.0246454 0.0919779i
\(682\) 5.73961 + 1.53792i 0.219781 + 0.0588901i
\(683\) 44.7218 + 11.9832i 1.71123 + 0.458524i 0.975726 0.218993i \(-0.0702773\pi\)
0.735507 + 0.677517i \(0.236944\pi\)
\(684\) 1.13341 4.22993i 0.0433369 0.161736i
\(685\) −41.3018 23.8456i −1.57806 0.911093i
\(686\) 1.43211 + 18.4648i 0.0546783 + 0.704990i
\(687\) 6.04000 + 1.61841i 0.230440 + 0.0617463i
\(688\) −4.56039 + 2.63294i −0.173863 + 0.100380i
\(689\) −16.6289 + 13.4935i −0.633512 + 0.514060i
\(690\) 1.94552 3.36973i 0.0740645 0.128284i
\(691\) 5.63846 + 21.0430i 0.214497 + 0.800515i 0.986343 + 0.164705i \(0.0526671\pi\)
−0.771846 + 0.635810i \(0.780666\pi\)
\(692\) 4.64868 2.68392i 0.176716 0.102027i
\(693\) 2.91451 8.69960i 0.110713 0.330470i
\(694\) −0.995897 0.995897i −0.0378037 0.0378037i
\(695\) 28.7877 + 28.7877i 1.09198 + 1.09198i
\(696\) −0.463989 + 1.73163i −0.0175875 + 0.0656373i
\(697\) −0.734674 2.74184i −0.0278278 0.103855i
\(698\) 31.0151i 1.17394i
\(699\) −0.447562 0.775199i −0.0169283 0.0293207i
\(700\) −8.40443 + 4.18632i −0.317658 + 0.158228i
\(701\) 25.4454i 0.961061i 0.876978 + 0.480531i \(0.159556\pi\)
−0.876978 + 0.480531i \(0.840444\pi\)
\(702\) 0.373290 3.58618i 0.0140889 0.135351i
\(703\) 14.6674 + 8.46821i 0.553191 + 0.319385i
\(704\) −2.45207 2.45207i −0.0924160 0.0924160i
\(705\) 29.1973 + 16.8571i 1.09963 + 0.634874i
\(706\) −4.81127 + 8.33336i −0.181074 + 0.313630i
\(707\) 15.5583 7.74973i 0.585130 0.291459i
\(708\) −9.61156 + 2.57541i −0.361224 + 0.0967898i
\(709\) 20.9842 20.9842i 0.788077 0.788077i −0.193102 0.981179i \(-0.561855\pi\)
0.981179 + 0.193102i \(0.0618548\pi\)
\(710\) −26.9127 + 7.21122i −1.01001 + 0.270632i
\(711\) 3.83793 + 6.64749i 0.143934 + 0.249300i
\(712\) 3.72207 6.44682i 0.139491 0.241605i
\(713\) 0.590197 2.20265i 0.0221031 0.0824898i
\(714\) 1.04745 3.12655i 0.0391997 0.117008i
\(715\) 36.1014 5.75499i 1.35012 0.215225i
\(716\) 7.57411 + 13.1187i 0.283058 + 0.490271i
\(717\) −12.8578 + 12.8578i −0.480184 + 0.480184i
\(718\) −7.27329 −0.271437
\(719\) 13.6951 0.510740 0.255370 0.966843i \(-0.417803\pi\)
0.255370 + 0.966843i \(0.417803\pi\)
\(720\) −2.06747 + 2.06747i −0.0770499 + 0.0770499i
\(721\) 36.9121 + 24.4517i 1.37468 + 0.910627i
\(722\) −0.0457992 0.170925i −0.00170447 0.00636117i
\(723\) −26.6047 7.12871i −0.989440 0.265120i
\(724\) 7.73490 4.46575i 0.287465 0.165968i
\(725\) 6.36206i 0.236281i
\(726\) 0.990395 0.265375i 0.0367570 0.00984901i
\(727\) 36.5760 1.35653 0.678265 0.734817i \(-0.262732\pi\)
0.678265 + 0.734817i \(0.262732\pi\)
\(728\) −6.06321 + 7.36461i −0.224717 + 0.272951i
\(729\) −1.00000 −0.0370370
\(730\) 45.3220 12.1440i 1.67744 0.449469i
\(731\) 6.56275i 0.242732i
\(732\) 6.72855 3.88473i 0.248695 0.143584i
\(733\) −44.1023 11.8172i −1.62895 0.436477i −0.675340 0.737507i \(-0.736003\pi\)
−0.953615 + 0.301029i \(0.902670\pi\)
\(734\) 9.00525 + 33.6081i 0.332390 + 1.24050i
\(735\) 12.5885 + 16.1377i 0.464332 + 0.595246i
\(736\) −0.941014 + 0.941014i −0.0346862 + 0.0346862i
\(737\) −12.0441 −0.443651
\(738\) 2.27763 0.0838408
\(739\) 22.9806 22.9806i 0.845356 0.845356i −0.144193 0.989550i \(-0.546059\pi\)
0.989550 + 0.144193i \(0.0460587\pi\)
\(740\) −5.65400 9.79301i −0.207845 0.359998i
\(741\) −6.43652 14.4178i −0.236451 0.529649i
\(742\) −3.12707 15.3999i −0.114799 0.565348i
\(743\) −0.893620 + 3.33504i −0.0327837 + 0.122351i −0.980379 0.197124i \(-0.936840\pi\)
0.947595 + 0.319475i \(0.103506\pi\)
\(744\) −0.856761 + 1.48395i −0.0314104 + 0.0544044i
\(745\) 18.0248 + 31.2198i 0.660377 + 1.14381i
\(746\) 12.7670 3.42091i 0.467434 0.125249i
\(747\) 2.31664 2.31664i 0.0847613 0.0847613i
\(748\) 4.17453 1.11856i 0.152636 0.0408986i
\(749\) −3.27753 + 53.2562i −0.119758 + 1.94594i
\(750\) 2.12148 3.67451i 0.0774656 0.134174i
\(751\) 22.8976 + 13.2200i 0.835546 + 0.482403i 0.855748 0.517393i \(-0.173097\pi\)
−0.0202015 + 0.999796i \(0.506431\pi\)
\(752\) −8.15348 8.15348i −0.297327 0.297327i
\(753\) 3.60662 + 2.08228i 0.131433 + 0.0758826i
\(754\) 2.63495 + 5.90228i 0.0959593 + 0.214948i
\(755\) 21.7619i 0.791997i
\(756\) 2.20570 + 1.46112i 0.0802206 + 0.0531405i
\(757\) −11.1187 19.2581i −0.404116 0.699949i 0.590103 0.807328i \(-0.299087\pi\)
−0.994218 + 0.107380i \(0.965754\pi\)
\(758\) 9.97354i 0.362255i
\(759\) −1.19442 4.45763i −0.0433546 0.161802i
\(760\) −3.31390 + 12.3676i −0.120208 + 0.448622i
\(761\) 33.5353 + 33.5353i 1.21565 + 1.21565i 0.969139 + 0.246513i \(0.0792849\pi\)
0.246513 + 0.969139i \(0.420715\pi\)
\(762\) −2.95687 2.95687i −0.107116 0.107116i
\(763\) 38.0863 33.6702i 1.37882 1.21894i
\(764\) 16.9746 9.80027i 0.614118 0.354561i
\(765\) −0.943115 3.51975i −0.0340984 0.127257i
\(766\) −15.2417 + 26.3993i −0.550704 + 0.953847i
\(767\) −21.0591 + 29.0466i −0.760402 + 1.04881i
\(768\) 0.866025 0.500000i 0.0312500 0.0180422i
\(769\) 11.4954 + 3.08019i 0.414536 + 0.111075i 0.460058 0.887889i \(-0.347828\pi\)
−0.0455222 + 0.998963i \(0.514495\pi\)
\(770\) −8.52155 + 25.4362i −0.307095 + 0.916658i
\(771\) 16.9136 + 9.76507i 0.609128 + 0.351680i
\(772\) 2.26808 8.46459i 0.0816300 0.304647i
\(773\) 1.37390 + 0.368134i 0.0494156 + 0.0132409i 0.283442 0.958989i \(-0.408524\pi\)
−0.234027 + 0.972230i \(0.575190\pi\)