Properties

Label 354.2.e.b.79.1
Level 354
Weight 2
Character 354.79
Analytic conductor 2.827
Analytic rank 0
Dimension 56
CM No

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 354.e (of order \(29\) and degree \(28\))

Newform invariants

Self dual: No
Analytic conductor: \(2.82670423155\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(2\) over \(\Q(\zeta_{29})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 79.1
Character \(\chi\) = 354.79
Dual form 354.2.e.b.121.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.907575 - 0.419889i) q^{2} +(0.947653 - 0.319302i) q^{3} +(0.647386 + 0.762162i) q^{4} +(-1.91571 + 1.15265i) q^{5} +(-0.994138 - 0.108119i) q^{6} +(0.0631741 + 1.16518i) q^{7} +(-0.267528 - 0.963550i) q^{8} +(0.796093 - 0.605174i) q^{9} +O(q^{10})\) \(q+(-0.907575 - 0.419889i) q^{2} +(0.947653 - 0.319302i) q^{3} +(0.647386 + 0.762162i) q^{4} +(-1.91571 + 1.15265i) q^{5} +(-0.994138 - 0.108119i) q^{6} +(0.0631741 + 1.16518i) q^{7} +(-0.267528 - 0.963550i) q^{8} +(0.796093 - 0.605174i) q^{9} +(2.22264 - 0.241727i) q^{10} +(0.268157 + 1.63568i) q^{11} +(0.856857 + 0.515554i) q^{12} +(2.88253 + 2.19124i) q^{13} +(0.431910 - 1.08401i) q^{14} +(-1.44739 + 1.70400i) q^{15} +(-0.161782 + 0.986827i) q^{16} +(-0.179305 + 3.30709i) q^{17} +(-0.976621 + 0.214970i) q^{18} +(3.45205 + 3.26996i) q^{19} +(-2.11871 - 0.713877i) q^{20} +(0.431910 + 1.08401i) q^{21} +(0.443433 - 1.59710i) q^{22} +(0.109899 + 0.0241907i) q^{23} +(-0.561187 - 0.827689i) q^{24} +(-0.000675007 + 0.00127320i) q^{25} +(-1.69604 - 3.19906i) q^{26} +(0.561187 - 0.827689i) q^{27} +(-0.847156 + 0.802469i) q^{28} +(-1.29927 + 0.601105i) q^{29} +(2.02911 - 0.938765i) q^{30} +(1.66505 - 1.57722i) q^{31} +(0.561187 - 0.827689i) q^{32} +(0.776396 + 1.46444i) q^{33} +(1.55134 - 2.92614i) q^{34} +(-1.46406 - 2.15933i) q^{35} +(0.976621 + 0.214970i) q^{36} +(0.961983 - 3.46475i) q^{37} +(-1.75998 - 4.41722i) q^{38} +(3.43131 + 1.15614i) q^{39} +(1.62314 + 1.53752i) q^{40} +(-0.297680 + 0.0655243i) q^{41} +(0.0631741 - 1.16518i) q^{42} +(-0.582536 + 3.55332i) q^{43} +(-1.07306 + 1.26330i) q^{44} +(-0.827535 + 2.07696i) q^{45} +(-0.0895846 - 0.0681004i) q^{46} +(1.19796 + 0.720786i) q^{47} +(0.161782 + 0.986827i) q^{48} +(5.60532 - 0.609615i) q^{49} +(0.00114722 - 0.000872095i) q^{50} +(0.886039 + 3.19122i) q^{51} +(0.196029 + 3.61554i) q^{52} +(-1.98430 - 0.215806i) q^{53} +(-0.856857 + 0.515554i) q^{54} +(-2.39908 - 2.82441i) q^{55} +(1.10581 - 0.372589i) q^{56} +(4.31545 + 1.99654i) q^{57} +1.43158 q^{58} +(7.48999 - 1.70296i) q^{59} -2.23575 q^{60} +(-9.95262 - 4.60457i) q^{61} +(-2.17341 + 0.732308i) q^{62} +(0.755428 + 0.889358i) q^{63} +(-0.856857 + 0.515554i) q^{64} +(-8.04784 - 0.875256i) q^{65} +(-0.0897363 - 1.65509i) q^{66} +(1.01288 + 3.64807i) q^{67} +(-2.63662 + 2.00430i) q^{68} +(0.111871 - 0.0121667i) q^{69} +(0.422068 + 2.57450i) q^{70} +(-8.76503 - 5.27374i) q^{71} +(-0.796093 - 0.605174i) q^{72} +(2.36115 - 5.92605i) q^{73} +(-2.32788 + 2.74059i) q^{74} +(-0.000233138 + 0.00142208i) q^{75} +(-0.257426 + 4.74795i) q^{76} +(-1.88892 + 0.415783i) q^{77} +(-2.62872 - 2.49006i) q^{78} +(-8.73252 - 2.94233i) q^{79} +(-0.827535 - 2.07696i) q^{80} +(0.267528 - 0.963550i) q^{81} +(0.297680 + 0.0655243i) q^{82} +(-1.97315 - 2.91017i) q^{83} +(-0.546581 + 1.03096i) q^{84} +(-3.46841 - 6.54211i) q^{85} +(2.02069 - 2.98030i) q^{86} +(-1.03932 + 0.984497i) q^{87} +(1.50432 - 0.695974i) q^{88} +(8.16055 - 3.77547i) q^{89} +(1.62314 - 1.53752i) q^{90} +(-2.37109 + 3.49709i) q^{91} +(0.0527101 + 0.0994218i) q^{92} +(1.07428 - 2.02631i) q^{93} +(-0.784585 - 1.15718i) q^{94} +(-10.3823 - 2.28531i) q^{95} +(0.267528 - 0.963550i) q^{96} +(-6.01099 - 15.0865i) q^{97} +(-5.34322 - 1.80034i) q^{98} +(1.20335 + 1.13988i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + q^{7} + 2q^{8} - 2q^{9} + O(q^{10}) \) \( 56q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + q^{7} + 2q^{8} - 2q^{9} + 2q^{10} + 30q^{11} + 2q^{12} + 5q^{13} + 28q^{14} + 2q^{15} - 2q^{16} - 3q^{17} + 2q^{18} - 4q^{19} - 2q^{20} + 28q^{21} - q^{22} - 2q^{23} - 2q^{24} + 64q^{25} - 34q^{26} + 2q^{27} + q^{28} + 8q^{29} - 2q^{30} + 2q^{32} - q^{33} + 32q^{34} - 87q^{35} - 2q^{36} + 47q^{37} + 4q^{38} - 5q^{39} + 2q^{40} + 3q^{41} + q^{42} - 61q^{43} + q^{44} - 2q^{45} - 27q^{46} + 50q^{47} + 2q^{48} - 45q^{49} - 6q^{50} + 3q^{51} - 24q^{52} - 27q^{53} - 2q^{54} - 95q^{55} - q^{56} + 4q^{57} + 50q^{58} - 58q^{59} + 2q^{60} - 74q^{61} - 29q^{62} + q^{63} - 2q^{64} - 17q^{65} + q^{66} + 4q^{67} - 32q^{68} + 31q^{69} - 58q^{70} - 47q^{71} + 2q^{72} + 43q^{73} - 18q^{74} - 6q^{75} - 33q^{76} - 5q^{77} + 5q^{78} + 19q^{79} - 2q^{80} - 2q^{81} - 3q^{82} + 47q^{83} - q^{84} - 149q^{85} - 55q^{86} + 21q^{87} + 28q^{88} + 36q^{89} + 2q^{90} + 175q^{91} - 2q^{92} - 29q^{93} - 21q^{94} + 50q^{95} - 2q^{96} + 10q^{97} - 13q^{98} + q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{4}{29}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.907575 0.419889i −0.641753 0.296906i
\(3\) 0.947653 0.319302i 0.547128 0.184349i
\(4\) 0.647386 + 0.762162i 0.323693 + 0.381081i
\(5\) −1.91571 + 1.15265i −0.856734 + 0.515480i −0.874871 0.484356i \(-0.839054\pi\)
0.0181373 + 0.999836i \(0.494226\pi\)
\(6\) −0.994138 0.108119i −0.405855 0.0441394i
\(7\) 0.0631741 + 1.16518i 0.0238776 + 0.440396i 0.985890 + 0.167392i \(0.0535345\pi\)
−0.962013 + 0.273004i \(0.911983\pi\)
\(8\) −0.267528 0.963550i −0.0945856 0.340666i
\(9\) 0.796093 0.605174i 0.265364 0.201725i
\(10\) 2.22264 0.241727i 0.702860 0.0764407i
\(11\) 0.268157 + 1.63568i 0.0808523 + 0.493177i 0.995947 + 0.0899389i \(0.0286672\pi\)
−0.915095 + 0.403238i \(0.867885\pi\)
\(12\) 0.856857 + 0.515554i 0.247353 + 0.148828i
\(13\) 2.88253 + 2.19124i 0.799471 + 0.607742i 0.923088 0.384588i \(-0.125656\pi\)
−0.123617 + 0.992330i \(0.539450\pi\)
\(14\) 0.431910 1.08401i 0.115433 0.289715i
\(15\) −1.44739 + 1.70400i −0.373715 + 0.439971i
\(16\) −0.161782 + 0.986827i −0.0404455 + 0.246707i
\(17\) −0.179305 + 3.30709i −0.0434879 + 0.802086i 0.892714 + 0.450624i \(0.148798\pi\)
−0.936202 + 0.351463i \(0.885684\pi\)
\(18\) −0.976621 + 0.214970i −0.230192 + 0.0506690i
\(19\) 3.45205 + 3.26996i 0.791956 + 0.750180i 0.972379 0.233409i \(-0.0749881\pi\)
−0.180423 + 0.983589i \(0.557747\pi\)
\(20\) −2.11871 0.713877i −0.473758 0.159628i
\(21\) 0.431910 + 1.08401i 0.0942505 + 0.236551i
\(22\) 0.443433 1.59710i 0.0945403 0.340503i
\(23\) 0.109899 + 0.0241907i 0.0229156 + 0.00504411i 0.226413 0.974031i \(-0.427300\pi\)
−0.203498 + 0.979075i \(0.565231\pi\)
\(24\) −0.561187 0.827689i −0.114552 0.168951i
\(25\) −0.000675007 0.00127320i −0.000135001 0.000254639i
\(26\) −1.69604 3.19906i −0.332620 0.627388i
\(27\) 0.561187 0.827689i 0.108001 0.159289i
\(28\) −0.847156 + 0.802469i −0.160097 + 0.151652i
\(29\) −1.29927 + 0.601105i −0.241268 + 0.111622i −0.536797 0.843711i \(-0.680366\pi\)
0.295530 + 0.955334i \(0.404504\pi\)
\(30\) 2.02911 0.938765i 0.370463 0.171394i
\(31\) 1.66505 1.57722i 0.299051 0.283276i −0.523430 0.852069i \(-0.675348\pi\)
0.822481 + 0.568792i \(0.192589\pi\)
\(32\) 0.561187 0.827689i 0.0992048 0.146316i
\(33\) 0.776396 + 1.46444i 0.135153 + 0.254926i
\(34\) 1.55134 2.92614i 0.266053 0.501829i
\(35\) −1.46406 2.15933i −0.247472 0.364993i
\(36\) 0.976621 + 0.214970i 0.162770 + 0.0358284i
\(37\) 0.961983 3.46475i 0.158149 0.569601i −0.841424 0.540376i \(-0.818282\pi\)
0.999573 0.0292255i \(-0.00930409\pi\)
\(38\) −1.75998 4.41722i −0.285506 0.716567i
\(39\) 3.43131 + 1.15614i 0.549449 + 0.185131i
\(40\) 1.62314 + 1.53752i 0.256641 + 0.243103i
\(41\) −0.297680 + 0.0655243i −0.0464898 + 0.0102332i −0.238154 0.971227i \(-0.576542\pi\)
0.191665 + 0.981460i \(0.438611\pi\)
\(42\) 0.0631741 1.16518i 0.00974797 0.179791i
\(43\) −0.582536 + 3.55332i −0.0888360 + 0.541876i 0.904486 + 0.426503i \(0.140255\pi\)
−0.993322 + 0.115373i \(0.963194\pi\)
\(44\) −1.07306 + 1.26330i −0.161769 + 0.190449i
\(45\) −0.827535 + 2.07696i −0.123362 + 0.309614i
\(46\) −0.0895846 0.0681004i −0.0132085 0.0100409i
\(47\) 1.19796 + 0.720786i 0.174740 + 0.105137i 0.600237 0.799822i \(-0.295073\pi\)
−0.425497 + 0.904960i \(0.639901\pi\)
\(48\) 0.161782 + 0.986827i 0.0233512 + 0.142436i
\(49\) 5.60532 0.609615i 0.800760 0.0870879i
\(50\) 0.00114722 0.000872095i 0.000162242 0.000123333i
\(51\) 0.886039 + 3.19122i 0.124070 + 0.446861i
\(52\) 0.196029 + 3.61554i 0.0271843 + 0.501385i
\(53\) −1.98430 0.215806i −0.272565 0.0296432i −0.0291841 0.999574i \(-0.509291\pi\)
−0.243381 + 0.969931i \(0.578256\pi\)
\(54\) −0.856857 + 0.515554i −0.116603 + 0.0701580i
\(55\) −2.39908 2.82441i −0.323492 0.380844i
\(56\) 1.10581 0.372589i 0.147770 0.0497894i
\(57\) 4.31545 + 1.99654i 0.571596 + 0.264448i
\(58\) 1.43158 0.187976
\(59\) 7.48999 1.70296i 0.975113 0.221707i
\(60\) −2.23575 −0.288634
\(61\) −9.95262 4.60457i −1.27430 0.589555i −0.338131 0.941099i \(-0.609795\pi\)
−0.936171 + 0.351544i \(0.885657\pi\)
\(62\) −2.17341 + 0.732308i −0.276024 + 0.0930032i
\(63\) 0.755428 + 0.889358i 0.0951750 + 0.112049i
\(64\) −0.856857 + 0.515554i −0.107107 + 0.0644442i
\(65\) −8.04784 0.875256i −0.998212 0.108562i
\(66\) −0.0897363 1.65509i −0.0110458 0.203727i
\(67\) 1.01288 + 3.64807i 0.123743 + 0.445682i 0.999299 0.0374344i \(-0.0119185\pi\)
−0.875556 + 0.483117i \(0.839505\pi\)
\(68\) −2.63662 + 2.00430i −0.319737 + 0.243057i
\(69\) 0.111871 0.0121667i 0.0134676 0.00146469i
\(70\) 0.422068 + 2.57450i 0.0504467 + 0.307711i
\(71\) −8.76503 5.27374i −1.04022 0.625878i −0.110395 0.993888i \(-0.535212\pi\)
−0.929822 + 0.368010i \(0.880039\pi\)
\(72\) −0.796093 0.605174i −0.0938205 0.0713205i
\(73\) 2.36115 5.92605i 0.276352 0.693592i −0.723642 0.690175i \(-0.757533\pi\)
0.999994 0.00341606i \(-0.00108737\pi\)
\(74\) −2.32788 + 2.74059i −0.270611 + 0.318588i
\(75\) −0.000233138 0.00142208i −2.69205e−5 0.000164208i
\(76\) −0.257426 + 4.74795i −0.0295288 + 0.544627i
\(77\) −1.88892 + 0.415783i −0.215263 + 0.0473829i
\(78\) −2.62872 2.49006i −0.297644 0.281943i
\(79\) −8.73252 2.94233i −0.982485 0.331038i −0.218191 0.975906i \(-0.570016\pi\)
−0.764294 + 0.644868i \(0.776912\pi\)
\(80\) −0.827535 2.07696i −0.0925212 0.232211i
\(81\) 0.267528 0.963550i 0.0297254 0.107061i
\(82\) 0.297680 + 0.0655243i 0.0328733 + 0.00723595i
\(83\) −1.97315 2.91017i −0.216581 0.319433i 0.703842 0.710356i \(-0.251466\pi\)
−0.920423 + 0.390923i \(0.872156\pi\)
\(84\) −0.546581 + 1.03096i −0.0596368 + 0.112487i
\(85\) −3.46841 6.54211i −0.376202 0.709592i
\(86\) 2.02069 2.98030i 0.217897 0.321374i
\(87\) −1.03932 + 0.984497i −0.111427 + 0.105549i
\(88\) 1.50432 0.695974i 0.160361 0.0741911i
\(89\) 8.16055 3.77547i 0.865017 0.400199i 0.0633649 0.997990i \(-0.479817\pi\)
0.801652 + 0.597791i \(0.203955\pi\)
\(90\) 1.62314 1.53752i 0.171094 0.162069i
\(91\) −2.37109 + 3.49709i −0.248558 + 0.366595i
\(92\) 0.0527101 + 0.0994218i 0.00549541 + 0.0103654i
\(93\) 1.07428 2.02631i 0.111398 0.210118i
\(94\) −0.784585 1.15718i −0.0809238 0.119354i
\(95\) −10.3823 2.28531i −1.06520 0.234468i
\(96\) 0.267528 0.963550i 0.0273045 0.0983419i
\(97\) −6.01099 15.0865i −0.610324 1.53180i −0.830897 0.556427i \(-0.812172\pi\)
0.220573 0.975370i \(-0.429207\pi\)
\(98\) −5.34322 1.80034i −0.539747 0.181862i
\(99\) 1.20335 + 1.13988i 0.120941 + 0.114562i
\(100\) −0.00140737 0.000309786i −0.000140737 3.09786e-5i
\(101\) 0.321879 5.93670i 0.0320281 0.590724i −0.937836 0.347078i \(-0.887174\pi\)
0.969864 0.243646i \(-0.0783434\pi\)
\(102\) 0.535813 3.26831i 0.0530534 0.323611i
\(103\) −10.6429 + 12.5297i −1.04867 + 1.23459i −0.0773057 + 0.997007i \(0.524632\pi\)
−0.971367 + 0.237585i \(0.923644\pi\)
\(104\) 1.34021 3.36369i 0.131419 0.329836i
\(105\) −2.07690 1.57882i −0.202685 0.154077i
\(106\) 1.71029 + 1.02905i 0.166118 + 0.0999499i
\(107\) 0.00900002 + 0.0548977i 0.000870065 + 0.00530716i 0.987258 0.159128i \(-0.0508682\pi\)
−0.986388 + 0.164435i \(0.947420\pi\)
\(108\) 0.994138 0.108119i 0.0956610 0.0104038i
\(109\) 5.71061 4.34109i 0.546977 0.415801i −0.294854 0.955542i \(-0.595271\pi\)
0.841831 + 0.539741i \(0.181478\pi\)
\(110\) 0.991404 + 3.57072i 0.0945267 + 0.340454i
\(111\) −0.194674 3.59054i −0.0184776 0.340799i
\(112\) −1.16005 0.126163i −0.109614 0.0119213i
\(113\) −6.20216 + 3.73171i −0.583450 + 0.351050i −0.776479 0.630143i \(-0.782996\pi\)
0.193029 + 0.981193i \(0.438169\pi\)
\(114\) −3.07827 3.62402i −0.288307 0.339421i
\(115\) −0.238419 + 0.0803328i −0.0222327 + 0.00749107i
\(116\) −1.29927 0.601105i −0.120634 0.0558112i
\(117\) 3.62085 0.334748
\(118\) −7.51278 1.59940i −0.691608 0.147237i
\(119\) −3.86467 −0.354274
\(120\) 2.02911 + 0.938765i 0.185231 + 0.0856972i
\(121\) 7.82063 2.63508i 0.710966 0.239552i
\(122\) 7.09934 + 8.35799i 0.642744 + 0.756697i
\(123\) −0.261175 + 0.157144i −0.0235494 + 0.0141692i
\(124\) 2.28002 + 0.247968i 0.204752 + 0.0222681i
\(125\) −0.605379 11.1656i −0.0541467 0.998677i
\(126\) −0.312176 1.12436i −0.0278108 0.100166i
\(127\) −10.5024 + 7.98372i −0.931938 + 0.708441i −0.956646 0.291254i \(-0.905927\pi\)
0.0247081 + 0.999695i \(0.492134\pi\)
\(128\) 0.994138 0.108119i 0.0878702 0.00955646i
\(129\) 0.582536 + 3.55332i 0.0512895 + 0.312852i
\(130\) 6.93652 + 4.17356i 0.608373 + 0.366046i
\(131\) 15.3221 + 11.6476i 1.33870 + 1.01765i 0.996965 + 0.0778573i \(0.0248079\pi\)
0.341736 + 0.939796i \(0.388985\pi\)
\(132\) −0.613511 + 1.53980i −0.0533993 + 0.134022i
\(133\) −3.59200 + 4.22883i −0.311466 + 0.366686i
\(134\) 0.612518 3.73619i 0.0529135 0.322758i
\(135\) −0.121041 + 2.23247i −0.0104175 + 0.192140i
\(136\) 3.23451 0.711970i 0.277357 0.0610509i
\(137\) 8.42994 + 7.98526i 0.720218 + 0.682227i 0.957246 0.289276i \(-0.0934145\pi\)
−0.237027 + 0.971503i \(0.576173\pi\)
\(138\) −0.106640 0.0359311i −0.00907777 0.00305866i
\(139\) −3.56267 8.94162i −0.302182 0.758418i −0.999146 0.0413131i \(-0.986846\pi\)
0.696965 0.717105i \(-0.254533\pi\)
\(140\) 0.697946 2.51377i 0.0589872 0.212453i
\(141\) 1.36539 + 0.300546i 0.114987 + 0.0253105i
\(142\) 5.74054 + 8.46666i 0.481735 + 0.710506i
\(143\) −2.81121 + 5.30251i −0.235086 + 0.443418i
\(144\) 0.468408 + 0.883512i 0.0390340 + 0.0736260i
\(145\) 1.79616 2.64914i 0.149163 0.219999i
\(146\) −4.63121 + 4.38691i −0.383282 + 0.363064i
\(147\) 5.11725 2.36749i 0.422063 0.195267i
\(148\) 3.26347 1.50984i 0.268256 0.124108i
\(149\) 14.5447 13.7774i 1.19154 1.12869i 0.202778 0.979225i \(-0.435003\pi\)
0.988767 0.149466i \(-0.0477555\pi\)
\(150\) 0.000808707 0.00119275i 6.60306e−5 9.73879e-5i
\(151\) 3.98349 + 7.51366i 0.324172 + 0.611453i 0.991016 0.133744i \(-0.0427001\pi\)
−0.666844 + 0.745197i \(0.732355\pi\)
\(152\) 2.22725 4.20103i 0.180654 0.340749i
\(153\) 1.85862 + 2.74126i 0.150261 + 0.221618i
\(154\) 1.88892 + 0.415783i 0.152214 + 0.0335048i
\(155\) −1.37178 + 4.94071i −0.110184 + 0.396847i
\(156\) 1.34021 + 3.36369i 0.107303 + 0.269310i
\(157\) 15.9975 + 5.39018i 1.27674 + 0.430183i 0.874354 0.485288i \(-0.161285\pi\)
0.402383 + 0.915471i \(0.368182\pi\)
\(158\) 6.68997 + 6.33707i 0.532225 + 0.504150i
\(159\) −1.94934 + 0.429082i −0.154593 + 0.0340284i
\(160\) −0.121041 + 2.23247i −0.00956912 + 0.176492i
\(161\) −0.0212436 + 0.129580i −0.00167423 + 0.0102124i
\(162\) −0.647386 + 0.762162i −0.0508635 + 0.0598811i
\(163\) −3.38415 + 8.49357i −0.265067 + 0.665268i −0.999916 0.0129631i \(-0.995874\pi\)
0.734849 + 0.678231i \(0.237253\pi\)
\(164\) −0.242654 0.184461i −0.0189481 0.0144040i
\(165\) −3.17533 1.91054i −0.247199 0.148735i
\(166\) 0.568829 + 3.46971i 0.0441497 + 0.269301i
\(167\) 1.15140 0.125222i 0.0890980 0.00968999i −0.0634614 0.997984i \(-0.520214\pi\)
0.152559 + 0.988294i \(0.451248\pi\)
\(168\) 0.928952 0.706171i 0.0716702 0.0544823i
\(169\) 0.0295762 + 0.106524i 0.00227509 + 0.00819414i
\(170\) 0.400881 + 7.39381i 0.0307461 + 0.567079i
\(171\) 4.72705 + 0.514098i 0.361487 + 0.0393140i
\(172\) −3.08533 + 1.85638i −0.235254 + 0.141548i
\(173\) 7.21077 + 8.48917i 0.548225 + 0.645420i 0.964583 0.263781i \(-0.0849696\pi\)
−0.416358 + 0.909201i \(0.636694\pi\)
\(174\) 1.35664 0.457106i 0.102847 0.0346531i
\(175\) −0.00152614 0.000706069i −0.000115366 5.33738e-5i
\(176\) −1.65752 −0.124940
\(177\) 6.55415 4.00538i 0.492640 0.301063i
\(178\) −8.99160 −0.673949
\(179\) 16.3457 + 7.56232i 1.22173 + 0.565234i 0.921406 0.388602i \(-0.127042\pi\)
0.300328 + 0.953836i \(0.402904\pi\)
\(180\) −2.11871 + 0.713877i −0.157919 + 0.0532093i
\(181\) −9.18116 10.8089i −0.682430 0.803419i 0.306489 0.951874i \(-0.400846\pi\)
−0.988919 + 0.148455i \(0.952570\pi\)
\(182\) 3.62033 2.17828i 0.268357 0.161465i
\(183\) −10.9019 1.18565i −0.805890 0.0876458i
\(184\) −0.00609227 0.112365i −0.000449128 0.00828367i
\(185\) 2.15075 + 7.74630i 0.158126 + 0.569519i
\(186\) −1.82581 + 1.38795i −0.133875 + 0.101769i
\(187\) −5.45743 + 0.593532i −0.399087 + 0.0434033i
\(188\) 0.226184 + 1.37966i 0.0164962 + 0.100622i
\(189\) 0.999857 + 0.601594i 0.0727289 + 0.0437595i
\(190\) 8.46311 + 6.43349i 0.613979 + 0.466734i
\(191\) −2.80831 + 7.04833i −0.203202 + 0.509999i −0.994894 0.100921i \(-0.967821\pi\)
0.791692 + 0.610920i \(0.209200\pi\)
\(192\) −0.647386 + 0.762162i −0.0467211 + 0.0550043i
\(193\) 1.96059 11.9591i 0.141127 0.860834i −0.817450 0.576000i \(-0.804613\pi\)
0.958577 0.284835i \(-0.0919388\pi\)
\(194\) −0.879208 + 16.2160i −0.0631235 + 1.16424i
\(195\) −7.90604 + 1.74025i −0.566163 + 0.124622i
\(196\) 4.09343 + 3.87750i 0.292388 + 0.276965i
\(197\) 19.1669 + 6.45809i 1.36559 + 0.460120i 0.904212 0.427085i \(-0.140459\pi\)
0.461376 + 0.887205i \(0.347356\pi\)
\(198\) −0.613511 1.53980i −0.0436003 0.109429i
\(199\) 0.658025 2.36999i 0.0466461 0.168004i −0.936558 0.350512i \(-0.886008\pi\)
0.983204 + 0.182508i \(0.0584214\pi\)
\(200\) 0.00140737 0.000309786i 9.95163e−5 2.19052e-5i
\(201\) 2.12469 + 3.13369i 0.149864 + 0.221033i
\(202\) −2.78489 + 5.25285i −0.195944 + 0.369589i
\(203\) −0.782474 1.47590i −0.0549189 0.103588i
\(204\) −1.85862 + 2.74126i −0.130129 + 0.191927i
\(205\) 0.494744 0.468646i 0.0345544 0.0327317i
\(206\) 14.9203 6.90287i 1.03955 0.480946i
\(207\) 0.102130 0.0472502i 0.00709850 0.00328412i
\(208\) −2.62872 + 2.49006i −0.182269 + 0.172654i
\(209\) −4.42293 + 6.52333i −0.305940 + 0.451228i
\(210\) 1.22202 + 2.30497i 0.0843271 + 0.159058i
\(211\) 7.91708 14.9332i 0.545034 1.02804i −0.446076 0.894995i \(-0.647179\pi\)
0.991110 0.133048i \(-0.0424764\pi\)
\(212\) −1.12013 1.65207i −0.0769309 0.113465i
\(213\) −9.99012 2.19899i −0.684512 0.150672i
\(214\) 0.0148828 0.0536028i 0.00101736 0.00366421i
\(215\) −2.97975 7.47860i −0.203217 0.510036i
\(216\) −0.947653 0.319302i −0.0644796 0.0217257i
\(217\) 1.94293 + 1.84044i 0.131894 + 0.124937i
\(218\) −7.00558 + 1.54205i −0.474478 + 0.104440i
\(219\) 0.345358 6.36976i 0.0233372 0.430428i
\(220\) 0.599530 3.65697i 0.0404203 0.246553i
\(221\) −7.76349 + 9.13989i −0.522229 + 0.614815i
\(222\) −1.33095 + 3.34043i −0.0893274 + 0.224195i
\(223\) −18.9986 14.4424i −1.27224 0.967134i −0.999988 0.00490918i \(-0.998437\pi\)
−0.272255 0.962225i \(-0.587770\pi\)
\(224\) 0.999857 + 0.601594i 0.0668058 + 0.0401957i
\(225\) 0.000233138 0.00142208i 1.55425e−5 9.48053e-5i
\(226\) 7.19583 0.782594i 0.478660 0.0520574i
\(227\) 6.12276 4.65440i 0.406382 0.308924i −0.381939 0.924187i \(-0.624744\pi\)
0.788321 + 0.615264i \(0.210951\pi\)
\(228\) 1.27208 + 4.58161i 0.0842454 + 0.303424i
\(229\) −1.24351 22.9351i −0.0821732 1.51559i −0.691327 0.722542i \(-0.742973\pi\)
0.609153 0.793052i \(-0.291509\pi\)
\(230\) 0.250114 + 0.0272016i 0.0164920 + 0.00179362i
\(231\) −1.65728 + 0.997154i −0.109041 + 0.0656079i
\(232\) 0.926785 + 1.09110i 0.0608464 + 0.0716339i
\(233\) 12.3480 4.16052i 0.808944 0.272565i 0.115715 0.993282i \(-0.463084\pi\)
0.693229 + 0.720718i \(0.256188\pi\)
\(234\) −3.28619 1.52036i −0.214825 0.0993887i
\(235\) −3.12575 −0.203902
\(236\) 6.14685 + 4.60611i 0.400126 + 0.299832i
\(237\) −9.21489 −0.598571
\(238\) 3.50748 + 1.62273i 0.227356 + 0.105186i
\(239\) 17.0884 5.75774i 1.10535 0.372437i 0.293300 0.956020i \(-0.405246\pi\)
0.812053 + 0.583583i \(0.198350\pi\)
\(240\) −1.44739 1.70400i −0.0934287 0.109993i
\(241\) −4.81117 + 2.89478i −0.309915 + 0.186469i −0.662011 0.749494i \(-0.730297\pi\)
0.352096 + 0.935964i \(0.385469\pi\)
\(242\) −8.20425 0.892266i −0.527389 0.0573570i
\(243\) −0.0541389 0.998533i −0.00347301 0.0640559i
\(244\) −2.93376 10.5664i −0.187815 0.676447i
\(245\) −10.0355 + 7.62880i −0.641146 + 0.487386i
\(246\) 0.303019 0.0329553i 0.0193198 0.00210116i
\(247\) 2.78538 + 16.9901i 0.177229 + 1.08105i
\(248\) −1.96517 1.18241i −0.124789 0.0750829i
\(249\) −2.79908 2.12781i −0.177385 0.134844i
\(250\) −4.13887 + 10.3878i −0.261765 + 0.656980i
\(251\) 1.57386 1.85289i 0.0993409 0.116953i −0.710245 0.703955i \(-0.751416\pi\)
0.809586 + 0.587001i \(0.199692\pi\)
\(252\) −0.188782 + 1.15152i −0.0118921 + 0.0725387i
\(253\) −0.0100980 + 0.186248i −0.000634859 + 0.0117093i
\(254\) 12.8840 2.83598i 0.808414 0.177945i
\(255\) −5.37575 5.09218i −0.336643 0.318885i
\(256\) −0.947653 0.319302i −0.0592283 0.0199563i
\(257\) −8.03934 20.1772i −0.501480 1.25862i −0.934090 0.357039i \(-0.883786\pi\)
0.432609 0.901581i \(-0.357593\pi\)
\(258\) 0.963303 3.46950i 0.0599726 0.216002i
\(259\) 4.09782 + 0.901998i 0.254626 + 0.0560474i
\(260\) −4.54298 6.70039i −0.281743 0.415541i
\(261\) −0.670564 + 1.26482i −0.0415069 + 0.0782903i
\(262\) −9.01529 17.0046i −0.556967 1.05055i
\(263\) −15.5817 + 22.9813i −0.960809 + 1.41709i −0.0525777 + 0.998617i \(0.516744\pi\)
−0.908231 + 0.418470i \(0.862567\pi\)
\(264\) 1.20335 1.13988i 0.0740612 0.0701545i
\(265\) 4.05010 1.87378i 0.248796 0.115105i
\(266\) 5.03565 2.32974i 0.308756 0.142846i
\(267\) 6.52786 6.18352i 0.399498 0.378425i
\(268\) −2.12469 + 3.13369i −0.129786 + 0.191420i
\(269\) 6.48843 + 12.2385i 0.395607 + 0.746193i 0.998673 0.0514977i \(-0.0163995\pi\)
−0.603067 + 0.797691i \(0.706055\pi\)
\(270\) 1.04724 1.97531i 0.0637331 0.120213i
\(271\) 9.02607 + 13.3125i 0.548295 + 0.808674i 0.996353 0.0853302i \(-0.0271945\pi\)
−0.448058 + 0.894005i \(0.647884\pi\)
\(272\) −3.23451 0.711970i −0.196121 0.0431695i
\(273\) −1.13034 + 4.07112i −0.0684114 + 0.246396i
\(274\) −4.29788 10.7869i −0.259645 0.651659i
\(275\) −0.00226356 0.000762681i −0.000136498 4.59914e-5i
\(276\) 0.0816965 + 0.0773870i 0.00491755 + 0.00465815i
\(277\) −1.10631 + 0.243516i −0.0664715 + 0.0146315i −0.248082 0.968739i \(-0.579800\pi\)
0.181610 + 0.983371i \(0.441869\pi\)
\(278\) −0.521100 + 9.61112i −0.0312535 + 0.576437i
\(279\) 0.371042 2.26326i 0.0222137 0.135498i
\(280\) −1.68894 + 1.98838i −0.100934 + 0.118828i
\(281\) 2.04719 5.13806i 0.122125 0.306511i −0.855185 0.518322i \(-0.826557\pi\)
0.977311 + 0.211811i \(0.0679362\pi\)
\(282\) −1.11300 0.846083i −0.0662783 0.0503835i
\(283\) 20.4281 + 12.2912i 1.21433 + 0.730636i 0.970947 0.239294i \(-0.0769161\pi\)
0.243380 + 0.969931i \(0.421744\pi\)
\(284\) −1.65491 10.0945i −0.0982010 0.598999i
\(285\) −10.5685 + 1.14939i −0.626023 + 0.0680841i
\(286\) 4.77786 3.63203i 0.282521 0.214767i
\(287\) −0.0951531 0.342711i −0.00561671 0.0202296i
\(288\) −0.0541389 0.998533i −0.00319017 0.0588391i
\(289\) 5.99567 + 0.652068i 0.352686 + 0.0383570i
\(290\) −2.74250 + 1.65011i −0.161045 + 0.0968976i
\(291\) −10.5135 12.3774i −0.616310 0.725576i
\(292\) 6.04519 2.03686i 0.353768 0.119198i
\(293\) −24.4803 11.3258i −1.43016 0.661660i −0.456508 0.889719i \(-0.650900\pi\)
−0.973647 + 0.228059i \(0.926762\pi\)
\(294\) −5.63837 −0.328836
\(295\) −12.3858 + 11.8957i −0.721127 + 0.692595i
\(296\) −3.59582 −0.209003
\(297\) 1.50432 + 0.695974i 0.0872897 + 0.0403845i
\(298\) −18.9854 + 6.39691i −1.09979 + 0.370563i
\(299\) 0.263781 + 0.310547i 0.0152548 + 0.0179594i
\(300\) −0.00123479 0.000742946i −7.12904e−5 4.28940e-5i
\(301\) −4.17704 0.454281i −0.240761 0.0261843i
\(302\) −0.460414 8.49184i −0.0264938 0.488650i
\(303\) −1.59057 5.72871i −0.0913758 0.329106i
\(304\) −3.78536 + 2.87756i −0.217105 + 0.165039i
\(305\) 24.3738 2.65081i 1.39564 0.151785i
\(306\) −0.535813 3.26831i −0.0306304 0.186837i
\(307\) 4.50291 + 2.70931i 0.256995 + 0.154629i 0.638221 0.769853i \(-0.279671\pi\)
−0.381226 + 0.924482i \(0.624498\pi\)
\(308\) −1.53976 1.17049i −0.0877358 0.0666950i
\(309\) −6.08498 + 15.2721i −0.346162 + 0.868801i
\(310\) 3.31955 3.90807i 0.188537 0.221964i
\(311\) 2.54804 15.5423i 0.144486 0.881325i −0.810731 0.585419i \(-0.800930\pi\)
0.955217 0.295906i \(-0.0956217\pi\)
\(312\) 0.196029 3.61554i 0.0110979 0.204690i
\(313\) −22.2696 + 4.90192i −1.25875 + 0.277073i −0.793755 0.608238i \(-0.791877\pi\)
−0.464999 + 0.885311i \(0.653945\pi\)
\(314\) −12.2556 11.6092i −0.691626 0.655143i
\(315\) −2.47230 0.833015i −0.139298 0.0469351i
\(316\) −3.41078 8.56041i −0.191871 0.481561i
\(317\) −0.454814 + 1.63809i −0.0255449 + 0.0920043i −0.975224 0.221221i \(-0.928996\pi\)
0.949679 + 0.313225i \(0.101410\pi\)
\(318\) 1.94934 + 0.429082i 0.109313 + 0.0240617i
\(319\) −1.33162 1.96400i −0.0745567 0.109963i
\(320\) 1.04724 1.97531i 0.0585426 0.110423i
\(321\) 0.0260578 + 0.0491503i 0.00145441 + 0.00274330i
\(322\) 0.0736896 0.108684i 0.00410656 0.00605673i
\(323\) −11.4330 + 10.8299i −0.636150 + 0.602593i
\(324\) 0.907575 0.419889i 0.0504209 0.0233272i
\(325\) −0.00473562 + 0.00219093i −0.000262685 + 0.000121531i
\(326\) 6.63772 6.28759i 0.367630 0.348237i
\(327\) 4.02556 5.93725i 0.222614 0.328331i
\(328\) 0.142774 + 0.269300i 0.00788336 + 0.0148696i
\(329\) −0.764164 + 1.44137i −0.0421297 + 0.0794651i
\(330\) 2.07964 + 3.06724i 0.114481 + 0.168846i
\(331\) −10.0656 2.21561i −0.553256 0.121781i −0.0704613 0.997515i \(-0.522447\pi\)
−0.482794 + 0.875734i \(0.660378\pi\)
\(332\) 0.940636 3.38786i 0.0516241 0.185933i
\(333\) −1.33095 3.34043i −0.0729355 0.183054i
\(334\) −1.09756 0.369812i −0.0600559 0.0202352i
\(335\) −6.14532 5.82116i −0.335755 0.318044i
\(336\) −1.13961 + 0.250847i −0.0621707 + 0.0136848i
\(337\) 0.0777869 1.43470i 0.00423732 0.0781528i −0.995650 0.0931739i \(-0.970299\pi\)
0.999887 + 0.0150210i \(0.00478152\pi\)
\(338\) 0.0178856 0.109097i 0.000972846 0.00593410i
\(339\) −4.68595 + 5.51673i −0.254506 + 0.299628i
\(340\) 2.74075 6.87876i 0.148638 0.373053i
\(341\) 3.02632 + 2.30055i 0.163885 + 0.124582i
\(342\) −4.07429 2.45142i −0.220312 0.132558i
\(343\) 2.38589 + 14.5533i 0.128826 + 0.785804i
\(344\) 3.57964 0.389310i 0.193001 0.0209902i
\(345\) −0.200288 + 0.152255i −0.0107832 + 0.00819714i
\(346\) −2.97980 10.7323i −0.160195 0.576971i
\(347\) −1.01237 18.6720i −0.0543468 1.00237i −0.890819 0.454358i \(-0.849869\pi\)
0.836472 0.548009i \(-0.184614\pi\)
\(348\) −1.42319 0.154781i −0.0762909 0.00829713i
\(349\) 1.23675 0.744125i 0.0662015 0.0398321i −0.482068 0.876134i \(-0.660114\pi\)
0.548270 + 0.836302i \(0.315287\pi\)
\(350\) 0.00108862 + 0.00128162i 5.81892e−5 + 6.85056e-5i
\(351\) 3.43131 1.15614i 0.183150 0.0617103i
\(352\) 1.50432 + 0.695974i 0.0801807 + 0.0370956i
\(353\) −30.0048 −1.59700 −0.798498 0.601997i \(-0.794372\pi\)
−0.798498 + 0.601997i \(0.794372\pi\)
\(354\) −7.63020 + 0.883167i −0.405541 + 0.0469398i
\(355\) 22.8701 1.21382
\(356\) 8.16055 + 3.77547i 0.432508 + 0.200100i
\(357\) −3.66237 + 1.23400i −0.193833 + 0.0653100i
\(358\) −11.6596 13.7267i −0.616229 0.725481i
\(359\) 17.8627 10.7476i 0.942756 0.567238i 0.0408480 0.999165i \(-0.486994\pi\)
0.901908 + 0.431928i \(0.142166\pi\)
\(360\) 2.22264 + 0.241727i 0.117143 + 0.0127401i
\(361\) 0.195404 + 3.60402i 0.0102844 + 0.189685i
\(362\) 3.79406 + 13.6650i 0.199411 + 0.718214i
\(363\) 6.56986 4.99428i 0.344828 0.262132i
\(364\) −4.20036 + 0.456817i −0.220159 + 0.0239437i
\(365\) 2.30735 + 14.0742i 0.120772 + 0.736677i
\(366\) 9.39644 + 5.65365i 0.491160 + 0.295521i
\(367\) 18.6512 + 14.1783i 0.973584 + 0.740099i 0.965644 0.259869i \(-0.0836795\pi\)
0.00793991 + 0.999968i \(0.497473\pi\)
\(368\) −0.0416517 + 0.104538i −0.00217125 + 0.00544942i
\(369\) −0.197327 + 0.232312i −0.0102725 + 0.0120937i
\(370\) 1.30062 7.93343i 0.0676160 0.412439i
\(371\) 0.126096 2.32570i 0.00654656 0.120744i
\(372\) 2.23985 0.493028i 0.116131 0.0255623i
\(373\) 13.9144 + 13.1804i 0.720460 + 0.682456i 0.957301 0.289092i \(-0.0933534\pi\)
−0.236841 + 0.971548i \(0.576112\pi\)
\(374\) 5.20225 + 1.75284i 0.269002 + 0.0906373i
\(375\) −4.13887 10.3878i −0.213730 0.536422i
\(376\) 0.374026 1.34712i 0.0192889 0.0694725i
\(377\) −5.06235 1.11431i −0.260724 0.0573897i
\(378\) −0.654843 0.965821i −0.0336815 0.0496765i
\(379\) −3.23375 + 6.09950i −0.166106 + 0.313310i −0.952566 0.304332i \(-0.901567\pi\)
0.786460 + 0.617642i \(0.211912\pi\)
\(380\) −4.97956 9.39244i −0.255446 0.481822i
\(381\) −7.40342 + 10.9192i −0.379289 + 0.559409i
\(382\) 5.50827 5.21771i 0.281828 0.266961i
\(383\) −33.6927 + 15.5879i −1.72162 + 0.796505i −0.727759 + 0.685833i \(0.759438\pi\)
−0.993857 + 0.110672i \(0.964700\pi\)
\(384\) 0.907575 0.419889i 0.0463145 0.0214274i
\(385\) 3.13938 2.97378i 0.159998 0.151558i
\(386\) −6.80088 + 10.0305i −0.346156 + 0.510541i
\(387\) 1.68662 + 3.18131i 0.0857358 + 0.161715i
\(388\) 7.60689 14.3481i 0.386181 0.728415i
\(389\) 3.01587 + 4.44807i 0.152911 + 0.225526i 0.896427 0.443192i \(-0.146154\pi\)
−0.743516 + 0.668718i \(0.766843\pi\)
\(390\) 7.90604 + 1.74025i 0.400338 + 0.0881210i
\(391\) −0.0997062 + 0.359109i −0.00504236 + 0.0181609i
\(392\) −2.08698 5.23791i −0.105408 0.264555i
\(393\) 18.2391 + 6.14548i 0.920043 + 0.309999i
\(394\) −14.6838 13.9092i −0.739757 0.700735i
\(395\) 20.1205 4.42885i 1.01237 0.222840i
\(396\) −0.0897363 + 1.65509i −0.00450942 + 0.0831713i
\(397\) 5.31670 32.4304i 0.266837 1.62764i −0.424727 0.905321i \(-0.639630\pi\)
0.691565 0.722314i \(-0.256922\pi\)
\(398\) −1.59234 + 1.87465i −0.0798168 + 0.0939676i
\(399\) −2.05370 + 5.15440i −0.102814 + 0.258043i
\(400\) −0.00114722 0.000872095i −5.73611e−5 4.36047e-5i
\(401\) 8.66069 + 5.21097i 0.432494 + 0.260223i 0.715113 0.699009i \(-0.246375\pi\)
−0.282618 + 0.959232i \(0.591203\pi\)
\(402\) −0.612518 3.73619i −0.0305496 0.186344i
\(403\) 8.25562 0.897853i 0.411242 0.0447252i
\(404\) 4.73311 3.59802i 0.235481 0.179008i
\(405\) 0.598125 + 2.15425i 0.0297211 + 0.107046i
\(406\) 0.0904387 + 1.66804i 0.00448840 + 0.0827837i
\(407\) 5.92520 + 0.644404i 0.293701 + 0.0319419i
\(408\) 2.83786 1.70749i 0.140495 0.0845331i
\(409\) 21.5168 + 25.3315i 1.06394 + 1.25256i 0.966321 + 0.257340i \(0.0828460\pi\)
0.0976166 + 0.995224i \(0.468878\pi\)
\(410\) −0.645796 + 0.217594i −0.0318936 + 0.0107462i
\(411\) 10.5384 + 4.87557i 0.519819 + 0.240494i
\(412\) −16.4397 −0.809928
\(413\) 2.45742 + 8.61958i 0.120922 + 0.424142i
\(414\) −0.112530 −0.00553056
\(415\) 7.13439 + 3.30072i 0.350214 + 0.162026i
\(416\) 3.43131 1.15614i 0.168234 0.0566846i
\(417\) −6.23125 7.33599i −0.305145 0.359245i
\(418\) 6.75322 4.06328i 0.330311 0.198741i
\(419\) −33.1560 3.60593i −1.61978 0.176161i −0.747187 0.664614i \(-0.768596\pi\)
−0.872590 + 0.488453i \(0.837561\pi\)
\(420\) −0.141241 2.60504i −0.00689186 0.127113i
\(421\) −0.0900469 0.324319i −0.00438862 0.0158064i 0.961323 0.275423i \(-0.0888178\pi\)
−0.965712 + 0.259616i \(0.916404\pi\)
\(422\) −13.4556 + 10.2287i −0.655010 + 0.497925i
\(423\) 1.38989 0.151159i 0.0675785 0.00734961i
\(424\) 0.322917 + 1.96971i 0.0156823 + 0.0956575i
\(425\) −0.00408954 0.00246060i −0.000198372 0.000119356i
\(426\) 8.14345 + 6.19049i 0.394552 + 0.299930i
\(427\) 4.73640 11.8875i 0.229210 0.575274i
\(428\) −0.0360145 + 0.0423995i −0.00174082 + 0.00204946i
\(429\) −0.970956 + 5.92257i −0.0468782 + 0.285944i
\(430\) −0.435838 + 8.03855i −0.0210180 + 0.387654i
\(431\) −0.170526 + 0.0375357i −0.00821397 + 0.00180803i −0.219076 0.975708i \(-0.570304\pi\)
0.210862 + 0.977516i \(0.432373\pi\)
\(432\) 0.725995 + 0.687699i 0.0349295 + 0.0330870i
\(433\) −28.8866 9.73303i −1.38820 0.467740i −0.476711 0.879060i \(-0.658171\pi\)
−0.911491 + 0.411320i \(0.865068\pi\)
\(434\) −0.990572 2.48615i −0.0475490 0.119339i
\(435\) 0.856264 3.08398i 0.0410547 0.147866i
\(436\) 7.00558 + 1.54205i 0.335507 + 0.0738506i
\(437\) 0.300276 + 0.442874i 0.0143642 + 0.0211855i
\(438\) −2.98803 + 5.63602i −0.142774 + 0.269300i
\(439\) 0.421787 + 0.795575i 0.0201308 + 0.0379707i 0.893373 0.449315i \(-0.148332\pi\)
−0.873243 + 0.487286i \(0.837987\pi\)
\(440\) −2.07964 + 3.06724i −0.0991431 + 0.146225i
\(441\) 4.09343 3.87750i 0.194925 0.184643i
\(442\) 10.8837 5.03533i 0.517684 0.239506i
\(443\) −6.57663 + 3.04267i −0.312465 + 0.144562i −0.569853 0.821746i \(-0.693000\pi\)
0.257389 + 0.966308i \(0.417138\pi\)
\(444\) 2.61055 2.47284i 0.123891 0.117356i
\(445\) −11.2815 + 16.6390i −0.534794 + 0.788763i
\(446\) 11.1785 + 21.0849i 0.529317 + 0.998398i
\(447\) 9.38413 17.7004i 0.443854 0.837198i
\(448\) −0.654843 0.965821i −0.0309384 0.0456308i
\(449\) −0.345901 0.0761385i −0.0163241 0.00359320i 0.206801 0.978383i \(-0.433695\pi\)
−0.223125 + 0.974790i \(0.571626\pi\)
\(450\) 0.000385525 0.00138854i 1.81738e−5 6.54563e-5i
\(451\) −0.187002 0.469340i −0.00880558 0.0221003i
\(452\) −6.85936 2.31119i −0.322637 0.108709i
\(453\) 6.17409 + 5.84841i 0.290084 + 0.274782i
\(454\) −7.51120 + 1.65334i −0.352518 + 0.0775951i
\(455\) 0.511413 9.43246i 0.0239754 0.442201i
\(456\) 0.769261 4.69229i 0.0360240 0.219736i
\(457\) −22.0556 + 25.9659i −1.03172 + 1.21463i −0.0553617 + 0.998466i \(0.517631\pi\)
−0.976357 + 0.216166i \(0.930645\pi\)
\(458\) −8.50163 + 21.3375i −0.397255 + 0.997035i
\(459\) 2.63662 + 2.00430i 0.123067 + 0.0935529i
\(460\) −0.215576 0.129708i −0.0100513 0.00604765i
\(461\) −1.64913 10.0593i −0.0768078 0.468507i −0.997024 0.0770956i \(-0.975435\pi\)
0.920216 0.391411i \(-0.128013\pi\)
\(462\) 1.92280 0.209117i 0.0894569 0.00972902i
\(463\) 14.6994 11.1742i 0.683141 0.519310i −0.205069 0.978747i \(-0.565742\pi\)
0.888210 + 0.459437i \(0.151949\pi\)
\(464\) −0.382988 1.37940i −0.0177798 0.0640370i
\(465\) 0.277603 + 5.12009i 0.0128735 + 0.237439i
\(466\) −12.9537 1.40880i −0.600068 0.0652614i
\(467\) 26.1321 15.7231i 1.20925 0.727580i 0.239312 0.970943i \(-0.423078\pi\)
0.969935 + 0.243362i \(0.0782505\pi\)
\(468\) 2.34409 + 2.75967i 0.108356 + 0.127566i
\(469\) −4.18666 + 1.41065i −0.193322 + 0.0651377i
\(470\) 2.83686 + 1.31247i 0.130854 + 0.0605397i
\(471\) 16.8812 0.777842
\(472\) −3.64467 6.76139i −0.167760 0.311218i
\(473\) −5.96831 −0.274423
\(474\) 8.36320 + 3.86923i 0.384135 + 0.177720i
\(475\) −0.00649346 + 0.00218790i −0.000297941 + 0.000100388i
\(476\) −2.50193 2.94551i −0.114676 0.135007i
\(477\) −1.71029 + 1.02905i −0.0783088 + 0.0471168i
\(478\) −17.9266 1.94963i −0.819943 0.0891742i
\(479\) −1.25540 23.1545i −0.0573607 1.05796i −0.875587 0.483060i \(-0.839525\pi\)
0.818227 0.574896i \(-0.194957\pi\)
\(480\) 0.598125 + 2.15425i 0.0273006 + 0.0983277i
\(481\) 10.3651 7.87931i 0.472606 0.359266i
\(482\) 5.58199 0.607078i 0.254252 0.0276516i
\(483\) 0.0212436 + 0.129580i 0.000966619 + 0.00589612i
\(484\) 7.07132 + 4.25467i 0.321424 + 0.193394i
\(485\) 28.9047 + 21.9728i 1.31249 + 0.997733i
\(486\) −0.370138 + 0.928977i −0.0167898 + 0.0421392i
\(487\) −14.5496 + 17.1292i −0.659307 + 0.776196i −0.985604 0.169071i \(-0.945923\pi\)
0.326297 + 0.945267i \(0.394199\pi\)
\(488\) −1.77413 + 10.8217i −0.0803110 + 0.489875i
\(489\) −0.494988 + 9.12952i −0.0223841 + 0.412851i
\(490\) 12.3112 2.70991i 0.556165 0.122421i
\(491\) −13.7695 13.0432i −0.621411 0.588631i 0.310832 0.950465i \(-0.399392\pi\)
−0.932243 + 0.361833i \(0.882151\pi\)
\(492\) −0.288851 0.0973251i −0.0130224 0.00438775i
\(493\) −1.75494 4.40457i −0.0790385 0.198372i
\(494\) 4.60600 16.5893i 0.207234 0.746389i
\(495\) −3.61915 0.796636i −0.162669 0.0358061i
\(496\) 1.28706 + 1.89828i 0.0577909 + 0.0852352i
\(497\) 5.59112 10.5460i 0.250796 0.473052i
\(498\) 1.64694 + 3.10645i 0.0738009 + 0.139203i
\(499\) −6.04363 + 8.91369i −0.270550 + 0.399032i −0.938557 0.345123i \(-0.887837\pi\)
0.668007 + 0.744155i \(0.267147\pi\)
\(500\) 8.11805 7.68982i 0.363050 0.343899i
\(501\) 1.05114 0.486311i 0.0469617 0.0217268i
\(502\) −2.20640 + 1.02079i −0.0984764 + 0.0455600i
\(503\) −4.53071 + 4.29172i −0.202014 + 0.191358i −0.782018 0.623256i \(-0.785810\pi\)
0.580004 + 0.814614i \(0.303051\pi\)
\(504\) 0.654843 0.965821i 0.0291690 0.0430211i
\(505\) 6.22630 + 11.7440i 0.277067 + 0.522603i
\(506\) 0.0873681 0.164794i 0.00388398 0.00732597i
\(507\) 0.0620412 + 0.0915039i 0.00275535 + 0.00406383i
\(508\) −12.8840 2.83598i −0.571635 0.125826i
\(509\) −3.34361 + 12.0426i −0.148203 + 0.533779i 0.851749 + 0.523951i \(0.175542\pi\)
−0.999952 + 0.00982844i \(0.996871\pi\)
\(510\) 2.74075 + 6.87876i 0.121362 + 0.304597i
\(511\) 7.05406 + 2.37679i 0.312053 + 0.105143i
\(512\) 0.725995 + 0.687699i 0.0320848 + 0.0303923i
\(513\) 4.64376 1.02217i 0.205027 0.0451298i
\(514\) −1.17589 + 21.6880i −0.0518662 + 0.956616i
\(515\) 5.94631 36.2709i 0.262026 1.59829i
\(516\) −2.33108 + 2.74435i −0.102620 + 0.120813i
\(517\) −0.857738 + 2.15276i −0.0377233 + 0.0946783i
\(518\) −3.34034 2.53926i −0.146766 0.111569i
\(519\) 9.54391 + 5.74238i 0.418931 + 0.252063i
\(520\) 1.30967 + 7.98866i 0.0574330 + 0.350326i
\(521\) −16.7665 + 1.82346i −0.734552 + 0.0798873i −0.467746 0.883863i \(-0.654934\pi\)
−0.266806 + 0.963750i \(0.585968\pi\)
\(522\) 1.13967 0.866355i 0.0498820 0.0379193i
\(523\) −1.01066 3.64006i −0.0441930 0.159169i 0.938161 0.346199i \(-0.112528\pi\)
−0.982354 + 0.187030i \(0.940114\pi\)
\(524\) 1.04199 + 19.2184i 0.0455197 + 0.839561i
\(525\) −0.00167170 0.000181809i −7.29592e−5 7.93479e-6i
\(526\) 23.7912 14.3147i 1.03734 0.624149i
\(527\) 4.91744 + 5.78926i 0.214207 + 0.252184i
\(528\) −1.57075 + 0.529249i −0.0683583 + 0.0230326i
\(529\) −20.8627 9.65213i −0.907076 0.419658i
\(530\) −4.46255 −0.193841
\(531\) 4.93214 5.88846i 0.214037 0.255538i
\(532\) −5.54847 −0.240557
\(533\) −1.00165 0.463414i −0.0433864 0.0200727i
\(534\) −8.52092 + 2.87103i −0.368736 + 0.124242i
\(535\) −0.0805192 0.0947945i −0.00348115 0.00409832i
\(536\) 3.24412 1.95192i 0.140125 0.0843102i
\(537\) 17.9047 + 1.94725i 0.772645 + 0.0840302i
\(538\) −0.749936 13.8318i −0.0323321 0.596330i
\(539\) 2.50024 + 9.00506i 0.107693 + 0.387875i
\(540\) −1.77986 + 1.35302i −0.0765931 + 0.0582245i
\(541\) 17.3027 1.88178i 0.743899 0.0809039i 0.271683 0.962387i \(-0.412420\pi\)
0.472216 + 0.881483i \(0.343454\pi\)
\(542\) −2.60208 15.8720i −0.111769 0.681761i
\(543\) −12.1519 7.31153i −0.521486 0.313768i
\(544\) 2.63662 + 2.00430i 0.113044 + 0.0859338i
\(545\) −5.93615 + 14.8986i −0.254277 + 0.638186i
\(546\) 2.73529 3.22023i 0.117060 0.137813i
\(547\) −3.90107 + 23.7955i −0.166798 + 1.01742i 0.762202 + 0.647339i \(0.224118\pi\)
−0.928999 + 0.370081i \(0.879330\pi\)
\(548\) −0.628637 + 11.5945i −0.0268541 + 0.495294i
\(549\) −10.7098 + 2.35740i −0.457082 + 0.100611i
\(550\) 0.00173411 + 0.00164263i 7.39426e−5 + 7.00421e-5i
\(551\) −6.45073 2.17350i −0.274810 0.0925943i
\(552\) −0.0416517 0.104538i −0.00177282 0.00444943i
\(553\) 2.87666 10.3608i 0.122328 0.440586i
\(554\) 1.10631 + 0.243516i 0.0470025 + 0.0103460i
\(555\) 4.51157 + 6.65407i 0.191505 + 0.282449i
\(556\) 4.50854 8.50401i 0.191205 0.360651i
\(557\) −11.7714 22.2032i −0.498770 0.940780i −0.997267 0.0738883i \(-0.976459\pi\)
0.498497 0.866892i \(-0.333886\pi\)
\(558\) −1.28706 + 1.89828i −0.0544858 + 0.0803605i
\(559\) −9.46537 + 8.96607i −0.400342 + 0.379224i
\(560\) 2.36774 1.09543i 0.100055 0.0462906i
\(561\) −4.98224 + 2.30503i −0.210350 + 0.0973184i
\(562\) −4.01540 + 3.80358i −0.169379 + 0.160445i
\(563\) −13.9620 + 20.5923i −0.588426 + 0.867864i −0.999034 0.0439483i \(-0.986006\pi\)
0.410607 + 0.911812i \(0.365317\pi\)
\(564\) 0.654873 + 1.23522i 0.0275751 + 0.0520122i
\(565\) 7.58021 14.2978i 0.318902 0.601513i
\(566\) −13.3791 19.7328i −0.562367 0.829430i
\(567\) 1.13961 + 0.250847i 0.0478590 + 0.0105346i
\(568\) −2.73662 + 9.85642i −0.114826 + 0.413566i
\(569\) −4.74537 11.9100i −0.198936 0.499292i 0.795336 0.606169i \(-0.207294\pi\)
−0.994272 + 0.106876i \(0.965915\pi\)
\(570\) 10.0743 + 3.39443i 0.421967 + 0.142177i
\(571\) 1.98561 + 1.88087i 0.0830952 + 0.0787120i 0.728120 0.685450i \(-0.240394\pi\)
−0.645025 + 0.764162i \(0.723153\pi\)
\(572\) −5.86131 + 1.29017i −0.245074 + 0.0539448i
\(573\) −0.410763 + 7.57607i −0.0171599 + 0.316495i
\(574\) −0.0575418 + 0.350989i −0.00240175 + 0.0146500i
\(575\) −0.000104982 0 0.000123595i −4.37806e−6 0 5.15426e-6i
\(576\) −0.370138 + 0.928977i −0.0154224 + 0.0387074i
\(577\) 22.8931 + 17.4029i 0.953052 + 0.724491i 0.961308 0.275475i \(-0.0888350\pi\)
−0.00825624 + 0.999966i \(0.502628\pi\)
\(578\) −5.16773 3.10932i −0.214949 0.129331i
\(579\) −1.96059 11.9591i −0.0814795 0.497003i
\(580\) 3.18189 0.346051i 0.132121 0.0143690i
\(581\) 3.26622 2.48291i 0.135506 0.103009i
\(582\) 4.34462 + 15.6479i 0.180090 + 0.648627i
\(583\) −0.179114 3.30356i −0.00741814 0.136820i
\(584\) −6.34172 0.689704i −0.262422 0.0285401i
\(585\) −6.93652 + 4.17356i −0.286790 + 0.172556i
\(586\) 17.4622 + 20.5580i 0.721355 + 0.849245i
\(587\) −1.25161 + 0.421716i −0.0516594 + 0.0174061i −0.345013 0.938598i \(-0.612125\pi\)
0.293353 + 0.956004i \(0.405229\pi\)
\(588\) 5.11725 + 2.36749i 0.211032 + 0.0976337i
\(589\) 10.9053 0.449344
\(590\) 16.2359 5.59560i 0.668421 0.230367i
\(591\) 20.2257 0.831973
\(592\) 3.26347 + 1.50984i 0.134128 + 0.0620542i
\(593\) −10.0430 + 3.38387i −0.412415 + 0.138959i −0.517858 0.855466i \(-0.673271\pi\)
0.105443 + 0.994425i \(0.466374\pi\)
\(594\) −1.07306 1.26330i −0.0440280 0.0518338i
\(595\) 7.40361 4.45460i 0.303518 0.182621i
\(596\) 19.9166 + 2.16607i 0.815818 + 0.0887255i
\(597\) −0.133162 2.45604i −0.00544998 0.100519i
\(598\) −0.109006 0.392603i −0.00445758 0.0160547i
\(599\) −17.4800 + 13.2879i −0.714212 + 0.542930i −0.897978 0.440040i \(-0.854964\pi\)
0.183766 + 0.982970i \(0.441171\pi\)
\(600\) 0.00143262 0.000155806i 5.84863e−5 6.36077e-6i
\(601\) 3.96017 + 24.1559i 0.161539 + 0.985342i 0.935814 + 0.352493i \(0.114666\pi\)
−0.774276 + 0.632848i \(0.781886\pi\)
\(602\) 3.60024 + 2.16619i 0.146735 + 0.0882873i
\(603\) 3.01406 + 2.29123i 0.122742 + 0.0933061i
\(604\) −3.14777 + 7.90030i −0.128081 + 0.321459i
\(605\) −11.9448 + 14.0625i −0.485624 + 0.571721i
\(606\) −0.961862 + 5.86710i −0.0390730 + 0.238335i
\(607\) 1.34790 24.8606i 0.0547096 1.00906i −0.834340 0.551249i \(-0.814151\pi\)
0.889050 0.457810i \(-0.151366\pi\)
\(608\) 4.64376 1.02217i 0.188329 0.0414544i
\(609\) −1.21277 1.14880i −0.0491440 0.0465516i
\(610\) −23.2341 7.82849i −0.940723 0.316966i
\(611\) 1.87373 + 4.70270i 0.0758029 + 0.190251i
\(612\) −0.886039 + 3.19122i −0.0358160 + 0.128998i
\(613\) 8.92446 + 1.96442i 0.360455 + 0.0793422i 0.391506 0.920176i \(-0.371954\pi\)
−0.0310506 + 0.999518i \(0.509885\pi\)
\(614\) −2.94912 4.34963i −0.119017 0.175537i
\(615\) 0.319206 0.602086i 0.0128716 0.0242785i
\(616\) 0.905968 + 1.70884i 0.0365025 + 0.0688510i
\(617\) −18.3070 + 27.0008i −0.737011 + 1.08701i 0.255731 + 0.966748i \(0.417684\pi\)
−0.992742 + 0.120262i \(0.961626\pi\)
\(618\) 11.9352 11.3056i 0.480103 0.454778i
\(619\) 7.90029 3.65506i 0.317540 0.146909i −0.254644 0.967035i \(-0.581958\pi\)
0.572184 + 0.820125i \(0.306096\pi\)
\(620\) −4.65369 + 2.15303i −0.186897 + 0.0864677i
\(621\) 0.0816965 0.0773870i 0.00327837 0.00310543i
\(622\) −8.83860 + 13.0360i −0.354395 + 0.522694i
\(623\) 4.91463 + 9.26998i 0.196901 + 0.371394i
\(624\) −1.69604 + 3.19906i −0.0678958 + 0.128065i
\(625\) 14.0256 + 20.6863i 0.561025 + 0.827450i
\(626\) 22.2696 + 4.90192i 0.890073 + 0.195920i
\(627\) −2.10849 + 7.59411i −0.0842051 + 0.303279i
\(628\) 6.24836 + 15.6822i 0.249337 + 0.625788i
\(629\) 11.2857 + 3.80261i 0.449992 + 0.151620i
\(630\) 1.89403 + 1.79412i 0.0754598 + 0.0714793i
\(631\) −34.1107 + 7.50834i −1.35793 + 0.298902i −0.833484 0.552544i \(-0.813657\pi\)
−0.524442 + 0.851446i \(0.675726\pi\)
\(632\) −0.498884 + 9.20137i −0.0198445 + 0.366011i
\(633\) 2.73445 16.6794i 0.108685 0.662947i
\(634\) 1.10059 1.29572i 0.0437102 0.0514596i
\(635\) 10.9172 27.4001i 0.433236 1.08734i
\(636\) −1.58900 1.20793i −0.0630081 0.0478975i
\(637\) 17.4933 + 10.5254i 0.693111 + 0.417031i
\(638\) 0.383888 + 2.34161i 0.0151983 + 0.0927053i
\(639\) −10.1693 + 1.10598i −0.402292 + 0.0437519i
\(640\) −1.77986 + 1.35302i −0.0703552 + 0.0534826i
\(641\) −12.7493 45.9189i −0.503567 1.81369i −0.577459 0.816420i \(-0.695956\pi\)
0.0738918 0.997266i \(-0.476458\pi\)
\(642\) −0.00301178 0.0555490i −0.000118865 0.00219234i
\(643\) 44.1375 + 4.80025i 1.74061 + 0.189303i 0.922564 0.385844i \(-0.126090\pi\)
0.818050 + 0.575147i \(0.195055\pi\)
\(644\) −0.112514 + 0.0676975i −0.00443368 + 0.00266766i
\(645\) −5.21169 6.13568i −0.205210 0.241592i
\(646\) 14.9237 5.02838i 0.587165 0.197839i
\(647\) −12.9130 5.97419i −0.507663 0.234870i 0.149301 0.988792i \(-0.452298\pi\)
−0.656964 + 0.753922i \(0.728160\pi\)
\(648\) −1.00000 −0.0392837
\(649\) 4.79400 + 11.7946i 0.188181 + 0.462978i
\(650\) 0.00521788 0.000204662
\(651\) 2.42887 + 1.12372i 0.0951951 + 0.0440419i
\(652\) −8.66432 + 2.91935i −0.339321 + 0.114331i
\(653\) −10.3956 12.2387i −0.406811 0.478935i 0.520159 0.854069i \(-0.325873\pi\)
−0.926971 + 0.375134i \(0.877597\pi\)
\(654\) −6.14648 + 3.69822i −0.240347 + 0.144612i
\(655\) −42.7784 4.65243i −1.67149 0.181785i
\(656\) −0.0165019 0.304359i −0.000644290 0.0118832i
\(657\) −1.70659 6.14660i −0.0665806 0.239802i
\(658\) 1.29875 0.987284i 0.0506306 0.0384883i
\(659\) 43.4521 4.72571i 1.69266 0.184087i 0.789603 0.613618i \(-0.210286\pi\)
0.903052 + 0.429531i \(0.141321\pi\)
\(660\) −0.599530 3.65697i −0.0233367 0.142348i
\(661\) 25.9903 + 15.6379i 1.01091 + 0.608243i 0.921754 0.387775i \(-0.126756\pi\)
0.0891530 + 0.996018i \(0.471584\pi\)
\(662\) 8.20499 + 6.23727i 0.318896 + 0.242418i
\(663\) −4.43872 + 11.1403i −0.172385 + 0.432655i
\(664\) −2.27623 + 2.67978i −0.0883347 + 0.103996i
\(665\) 2.00690 12.2416i 0.0778243 0.474707i
\(666\) −0.194674 + 3.59054i −0.00754345 + 0.139131i
\(667\) −0.157330 + 0.0346309i −0.00609183 + 0.00134091i
\(668\) 0.840840 + 0.796486i 0.0325331 + 0.0308170i
\(669\) −22.6156 7.62008i −0.874370 0.294609i
\(670\) 3.13310 + 7.86350i 0.121042 + 0.303793i
\(671\) 4.86276 17.5141i 0.187725 0.676124i
\(672\) 1.13961 + 0.250847i 0.0439613 + 0.00967662i
\(673\) −17.5377 25.8662i −0.676031 0.997070i −0.998721 0.0505658i \(-0.983898\pi\)
0.322690 0.946505i \(-0.395413\pi\)
\(674\) −0.673010 + 1.26943i −0.0259234 + 0.0488967i
\(675\) 0.000675007 0.00127320i 2.59810e−5 4.90054e-5i
\(676\) −0.0620412 + 0.0915039i −0.00238620 + 0.00351938i
\(677\) −27.6414 + 26.1833i −1.06234 + 1.00631i −0.0623787 + 0.998053i \(0.519869\pi\)
−0.999966 + 0.00825374i \(0.997373\pi\)
\(678\) 6.56927 3.03927i 0.252291 0.116722i
\(679\) 17.1987 7.95694i 0.660024 0.305360i
\(680\) −5.37575 + 5.09218i −0.206151 + 0.195276i
\(681\) 4.31610 6.36577i 0.165393 0.243937i
\(682\) −1.78064 3.35864i −0.0681842 0.128609i
\(683\) 5.06244 9.54877i 0.193709 0.365374i −0.767564 0.640972i \(-0.778531\pi\)
0.961273 + 0.275599i \(0.0888761\pi\)
\(684\) 2.66840 + 3.93560i 0.102029 + 0.150481i
\(685\) −25.3536 5.58074i −0.968710 0.213229i
\(686\) 3.94539 14.2100i 0.150636 0.542541i
\(687\) −8.50163 21.3375i −0.324357 0.814076i
\(688\) −3.41226 1.14972i −0.130091 0.0438329i
\(689\) −5.24693 4.97016i −0.199892 0.189348i
\(690\) 0.245707 0.0540842i 0.00935391 0.00205895i
\(691\) 1.56676 28.8972i 0.0596023 1.09930i −0.803838 0.594849i \(-0.797212\pi\)
0.863440 0.504452i \(-0.168305\pi\)
\(692\) −1.80197 + 10.9915i −0.0685007 + 0.417836i
\(693\) −1.25214 + 1.47413i −0.0475647 + 0.0559975i
\(694\) −6.92138 + 17.3714i −0.262732 + 0.659408i
\(695\) 17.1316 + 13.0231i 0.649838 + 0.493994i
\(696\) 1.22666 + 0.738056i 0.0464964 + 0.0279760i
\(697\) −0.163319 0.996203i −0.00618615 0.0377339i
\(698\) −1.43489 + 0.156054i −0.0543114 + 0.00590672i
\(699\) 10.3732 7.88547i 0.392349 0.298256i
\(700\) −0.000449865 0.00162027i −1.70033e−5 6.12404e-5i
\(701\) 0.126633 + 2.33561i 0.00478287 + 0.0882148i 0.999950 0.00997866i \(-0.00317636\pi\)
−0.995167 + 0.0981935i \(0.968694\pi\)
\(702\) −3.59962 0.391483i −0.135859 0.0147756i
\(703\) 14.6504 8.81486i 0.552551 0.332459i
\(704\) −1.07306 1.26330i −0.0404423 0.0476124i
\(705\) −2.96213 + 0.998058i −0.111560 + 0.0375890i
\(706\) 27.2317 + 12.5987i 1.02488 + 0.474159i
\(707\) 6.93765 0.260917
\(708\) 7.29582 + 2.40230i 0.274194 + 0.0902839i
\(709\) 31.0214 1.16503 0.582516 0.812819i \(-0.302068\pi\)
0.582516 + 0.812819i \(0.302068\pi\)
\(710\) −20.7563 9.60289i −0.778970 0.360390i
\(711\) −8.73252 + 2.94233i −0.327495 + 0.110346i
\(712\) −5.82104 6.85305i −0.218153 0.256829i
\(713\) 0.221142 0.133056i 0.00828182 0.00498300i
\(714\) 3.84202 + 0.417844i 0.143784 + 0.0156374i
\(715\) −0.726442 13.3984i −0.0271674 0.501073i
\(716\) 4.81826 + 17.3538i 0.180067 + 0.648542i
\(717\) 14.3554 10.9127i 0.536111 0.407541i
\(718\) −20.7245 + 2.25393i −0.773433 + 0.0841159i
\(719\) −2.35494 14.3645i −0.0878246 0.535706i −0.993692 0.112145i \(-0.964228\pi\)
0.905867 0.423562i \(-0.139220\pi\)
\(720\) −1.91571 1.15265i −0.0713945 0.0429566i
\(721\) −15.2717 11.6093i −0.568749 0.432352i
\(722\) 1.33595 3.35297i 0.0497188 0.124785i
\(723\) −3.63501 + 4.27946i −0.135187 + 0.159155i
\(724\) 2.29437 13.9951i 0.0852697 0.520122i
\(725\) 0.000111688 0.00205997i 4.14801e−6 7.65055e-5i
\(726\) −8.05969 + 1.77407i −0.299123 + 0.0658420i
\(727\) −6.24575 5.91629i −0.231642 0.219423i 0.563071 0.826409i \(-0.309620\pi\)
−0.794713 + 0.606986i \(0.792378\pi\)
\(728\) 4.00396 + 1.34909i 0.148397 + 0.0500006i
\(729\) −0.370138 0.928977i −0.0137088 0.0344065i
\(730\) 3.81551 13.7422i 0.141218 0.508623i
\(731\) −11.6467 2.56363i −0.430768 0.0948191i
\(732\) −6.15407 9.07657i −0.227461 0.335480i
\(733\) 17.4137 32.8458i 0.643191 1.21319i −0.320773 0.947156i \(-0.603943\pi\)
0.963964 0.266031i \(-0.0857125\pi\)
\(734\) −10.9741 20.6993i −0.405060 0.764024i
\(735\) −7.07430 + 10.4338i −0.260940 + 0.384857i
\(736\) 0.0816965 0.0773870i 0.00301137 0.00285252i
\(737\) −5.69547 + 2.63501i −0.209795 + 0.0970617i
\(738\) 0.276635 0.127985i 0.0101831 0.00471119i
\(739\) 0.688101 0.651804i 0.0253122 0.0239770i −0.674939 0.737874i \(-0.735830\pi\)
0.700251 + 0.713897i \(0.253071\pi\)
\(740\) −4.51157 + 6.65407i −0.165849 + 0.244608i
\(741\) 8.06453 + 15.2113i 0.296258 + 0.558802i
\(742\) −1.09098 + 2.05780i −0.0400510 + 0.0755442i
\(743\) −23.2051 34.2250i −0.851314 1.25559i −0.965046 0.262082i \(-0.915591\pi\)
0.113732 0.993511i \(-0.463719\pi\)
\(744\) −2.23985 0.493028i −0.0821168 0.0180753i
\(745\) −11.9829 + 43.1585i −0.439019 + 1.58120i
\(746\) −7.09405 17.8047i −0.259732 0.651878i
\(747\) −3.33197 1.12267i −0.121910 0.0410764i
\(748\) −3.98543 3.77520i −0.145722 0.138035i
\(749\) −0.0633970 + 0.0139547i −0.00231648 + 0.000509895i
\(750\) −0.605379 + 11.1656i −0.0221053 + 0.407708i
\(751\) 7.83304 47.7794i 0.285832 1.74350i −0.319558 0.947567i \(-0.603534\pi\)
0.605390 0.795929i \(-0.293017\pi\)
\(752\) −0.905098 + 1.06556i −0.0330055 + 0.0388571i
\(753\) 0.899840 2.25843i 0.0327920 0.0823017i
\(754\) 4.12658 + 3.13694i 0.150281 + 0.114241i
\(755\) −16.2918 9.80247i −0.592920 0.356748i
\(756\) 0.188782 + 1.15152i 0.00686592 + 0.0418803i
\(757\) −0.345209 + 0.0375438i −0.0125468 + 0.00136455i −0.114390 0.993436i \(-0.536491\pi\)
0.101843 + 0.994800i \(0.467526\pi\)
\(758\) 5.49598 4.17794i 0.199623 0.151750i
\(759\) 0.0498997 + 0.179722i 0.00181124