Properties

Label 354.2.e.b.121.1
Level 354
Weight 2
Character 354.121
Analytic conductor 2.827
Analytic rank 0
Dimension 56
CM No

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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 121.1
Character \(\chi\) = 354.121
Dual form 354.2.e.b.79.1

$q$-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 \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{25}{29}\right)\) \(1\)

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 0.0181373 0.999836i \(-0.494226\pi\)
−0.874871 + 0.484356i \(0.839054\pi\)
\(6\) −0.994138 + 0.108119i −0.405855 + 0.0441394i
\(7\) 0.0631741 1.16518i 0.0238776 0.440396i −0.962013 0.273004i \(-0.911983\pi\)
0.985890 0.167392i \(-0.0535345\pi\)
\(8\) −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 −0.915095 0.403238i \(-0.867885\pi\)
0.995947 0.0899389i \(-0.0286672\pi\)
\(12\) 0.856857 0.515554i 0.247353 0.148828i
\(13\) 2.88253 2.19124i 0.799471 0.607742i −0.123617 0.992330i \(-0.539450\pi\)
0.923088 + 0.384588i \(0.125656\pi\)
\(14\) 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 −0.936202 0.351463i \(-0.885684\pi\)
0.892714 0.450624i \(-0.148798\pi\)
\(18\) −0.976621 0.214970i −0.230192 0.0506690i
\(19\) 3.45205 3.26996i 0.791956 0.750180i −0.180423 0.983589i \(-0.557747\pi\)
0.972379 + 0.233409i \(0.0749881\pi\)
\(20\) −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 −0.203498 0.979075i \(-0.565231\pi\)
0.226413 + 0.974031i \(0.427300\pi\)
\(24\) −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 0.295530 0.955334i \(-0.404504\pi\)
−0.536797 + 0.843711i \(0.680366\pi\)
\(30\) 2.02911 + 0.938765i 0.370463 + 0.171394i
\(31\) 1.66505 + 1.57722i 0.299051 + 0.283276i 0.822481 0.568792i \(-0.192589\pi\)
−0.523430 + 0.852069i \(0.675348\pi\)
\(32\) 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 0.999573 + 0.0292255i \(0.00930409\pi\)
−0.841424 + 0.540376i \(0.818282\pi\)
\(38\) −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 0.191665 0.981460i \(-0.438611\pi\)
−0.238154 + 0.971227i \(0.576542\pi\)
\(42\) 0.0631741 + 1.16518i 0.00974797 + 0.179791i
\(43\) −0.582536 3.55332i −0.0888360 0.541876i −0.993322 0.115373i \(-0.963194\pi\)
0.904486 0.426503i \(-0.140255\pi\)
\(44\) −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 −0.425497 0.904960i \(-0.639901\pi\)
0.600237 + 0.799822i \(0.295073\pi\)
\(48\) 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 −0.243381 0.969931i \(-0.578256\pi\)
−0.0291841 + 0.999574i \(0.509291\pi\)
\(54\) −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 −0.936171 0.351544i \(-0.885657\pi\)
−0.338131 + 0.941099i \(0.609795\pi\)
\(62\) −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 −0.875556 0.483117i \(-0.839505\pi\)
0.999299 + 0.0374344i \(0.0119185\pi\)
\(68\) −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 −0.929822 0.368010i \(-0.880039\pi\)
−0.110395 + 0.993888i \(0.535212\pi\)
\(72\) −0.796093 + 0.605174i −0.0938205 + 0.0713205i
\(73\) 2.36115 + 5.92605i 0.276352 + 0.693592i 0.999994 + 0.00341606i \(0.00108737\pi\)
−0.723642 + 0.690175i \(0.757533\pi\)
\(74\) −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 −0.764294 0.644868i \(-0.776912\pi\)
−0.218191 + 0.975906i \(0.570016\pi\)
\(80\) −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 −0.920423 0.390923i \(-0.872156\pi\)
0.703842 + 0.710356i \(0.251466\pi\)
\(84\) −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 0.801652 0.597791i \(-0.203955\pi\)
0.0633649 + 0.997990i \(0.479817\pi\)
\(90\) 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 0.220573 + 0.975370i \(0.429207\pi\)
−0.830897 + 0.556427i \(0.812172\pi\)
\(98\) −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 0.969864 + 0.243646i \(0.0783434\pi\)
−0.937836 + 0.347078i \(0.887174\pi\)
\(102\) 0.535813 + 3.26831i 0.0530534 + 0.323611i
\(103\) −10.6429 12.5297i −1.04867 1.23459i −0.971367 0.237585i \(-0.923644\pi\)
−0.0773057 0.997007i \(-0.524632\pi\)
\(104\) 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 −0.986388 0.164435i \(-0.947420\pi\)
0.987258 + 0.159128i \(0.0508682\pi\)
\(108\) 0.994138 + 0.108119i 0.0956610 + 0.0104038i
\(109\) 5.71061 + 4.34109i 0.546977 + 0.415801i 0.841831 0.539741i \(-0.181478\pi\)
−0.294854 + 0.955542i \(0.595271\pi\)
\(110\) 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 0.193029 0.981193i \(-0.438169\pi\)
−0.776479 + 0.630143i \(0.782996\pi\)
\(114\) −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 0.0247081 0.999695i \(-0.492134\pi\)
−0.956646 + 0.291254i \(0.905927\pi\)
\(128\) 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 0.341736 0.939796i \(-0.388985\pi\)
0.996965 0.0778573i \(-0.0248079\pi\)
\(132\) −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 −0.237027 0.971503i \(-0.576173\pi\)
0.957246 + 0.289276i \(0.0934145\pi\)
\(138\) −0.106640 + 0.0359311i −0.00907777 + 0.00305866i
\(139\) −3.56267 + 8.94162i −0.302182 + 0.758418i 0.696965 + 0.717105i \(0.254533\pi\)
−0.999146 + 0.0413131i \(0.986846\pi\)
\(140\) 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 0.988767 + 0.149466i \(0.0477555\pi\)
0.202778 + 0.979225i \(0.435003\pi\)
\(150\) 0.000808707 0.00119275i 6.60306e−5 9.73879e-5i
\(151\) 3.98349 7.51366i 0.324172 0.611453i −0.666844 0.745197i \(-0.732355\pi\)
0.991016 + 0.133744i \(0.0427001\pi\)
\(152\) 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 0.402383 0.915471i \(-0.368182\pi\)
0.874354 + 0.485288i \(0.161285\pi\)
\(158\) 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 0.734849 0.678231i \(-0.237253\pi\)
−0.999916 + 0.0129631i \(0.995874\pi\)
\(164\) −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 0.152559 0.988294i \(-0.451248\pi\)
−0.0634614 + 0.997984i \(0.520214\pi\)
\(168\) 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 −0.416358 0.909201i \(-0.636694\pi\)
0.964583 + 0.263781i \(0.0849696\pi\)
\(174\) 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 0.300328 0.953836i \(-0.402904\pi\)
0.921406 + 0.388602i \(0.127042\pi\)
\(180\) −2.11871 0.713877i −0.157919 0.0532093i
\(181\) −9.18116 + 10.8089i −0.682430 + 0.803419i −0.988919 0.148455i \(-0.952570\pi\)
0.306489 + 0.951874i \(0.400846\pi\)
\(182\) 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 0.791692 0.610920i \(-0.209200\pi\)
−0.994894 + 0.100921i \(0.967821\pi\)
\(192\) −0.647386 0.762162i −0.0467211 0.0550043i
\(193\) 1.96059 + 11.9591i 0.141127 + 0.860834i 0.958577 + 0.284835i \(0.0919388\pi\)
−0.817450 + 0.576000i \(0.804613\pi\)
\(194\) −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 0.461376 0.887205i \(-0.347356\pi\)
0.904212 + 0.427085i \(0.140459\pi\)
\(198\) −0.613511 + 1.53980i −0.0436003 + 0.109429i
\(199\) 0.658025 + 2.36999i 0.0466461 + 0.168004i 0.983204 0.182508i \(-0.0584214\pi\)
−0.936558 + 0.350512i \(0.886008\pi\)
\(200\) 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 0.991110 + 0.133048i \(0.0424764\pi\)
−0.446076 + 0.894995i \(0.647179\pi\)
\(212\) −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 −0.272255 + 0.962225i \(0.587770\pi\)
−0.999988 + 0.00490918i \(0.998437\pi\)
\(224\) 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 0.788321 0.615264i \(-0.210951\pi\)
−0.381939 + 0.924187i \(0.624744\pi\)
\(228\) 1.27208 4.58161i 0.0842454 0.303424i
\(229\) −1.24351 + 22.9351i −0.0821732 + 1.51559i 0.609153 + 0.793052i \(0.291509\pi\)
−0.691327 + 0.722542i \(0.742973\pi\)
\(230\) 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 0.693229 0.720718i \(-0.256188\pi\)
0.115715 + 0.993282i \(0.463084\pi\)
\(234\) −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 0.812053 0.583583i \(-0.198350\pi\)
0.293300 + 0.956020i \(0.405246\pi\)
\(240\) −1.44739 + 1.70400i −0.0934287 + 0.109993i
\(241\) −4.81117 2.89478i −0.309915 0.186469i 0.352096 0.935964i \(-0.385469\pi\)
−0.662011 + 0.749494i \(0.730297\pi\)
\(242\) −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 0.809586 0.587001i \(-0.199692\pi\)
−0.710245 + 0.703955i \(0.751416\pi\)
\(252\) −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 0.432609 + 0.901581i \(0.357593\pi\)
−0.934090 + 0.357039i \(0.883786\pi\)
\(258\) 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 −0.908231 0.418470i \(-0.862567\pi\)
−0.0525777 0.998617i \(-0.516744\pi\)
\(264\) 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 −0.603067 0.797691i \(-0.706055\pi\)
0.998673 + 0.0514977i \(0.0163995\pi\)
\(270\) 1.04724 + 1.97531i 0.0637331 + 0.120213i
\(271\) 9.02607 13.3125i 0.548295 0.808674i −0.448058 0.894005i \(-0.647884\pi\)
0.996353 + 0.0853302i \(0.0271945\pi\)
\(272\) −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 0.181610 0.983371i \(-0.441869\pi\)
−0.248082 + 0.968739i \(0.579800\pi\)
\(278\) −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 0.977311 0.211811i \(-0.0679362\pi\)
−0.855185 + 0.518322i \(0.826557\pi\)
\(282\) −1.11300 + 0.846083i −0.0662783 + 0.0503835i
\(283\) 20.4281 12.2912i 1.21433 0.730636i 0.243380 0.969931i \(-0.421744\pi\)
0.970947 + 0.239294i \(0.0769161\pi\)
\(284\) −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 −0.973647 0.228059i \(-0.926762\pi\)
−0.456508 + 0.889719i \(0.650900\pi\)
\(294\) −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 −0.381226 0.924482i \(-0.624498\pi\)
0.638221 + 0.769853i \(0.279671\pi\)
\(308\) −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 0.955217 + 0.295906i \(0.0956217\pi\)
−0.810731 + 0.585419i \(0.800930\pi\)
\(312\) 0.196029 + 3.61554i 0.0110979 + 0.204690i
\(313\) −22.2696 4.90192i −1.25875 0.277073i −0.464999 0.885311i \(-0.653945\pi\)
−0.793755 + 0.608238i \(0.791877\pi\)
\(314\) −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 0.949679 0.313225i \(-0.101410\pi\)
−0.975224 + 0.221221i \(0.928996\pi\)
\(318\) 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 −0.482794 0.875734i \(-0.660378\pi\)
−0.0704613 + 0.997515i \(0.522447\pi\)
\(332\) 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 0.999887 0.0150210i \(-0.00478152\pi\)
−0.995650 + 0.0931739i \(0.970299\pi\)
\(338\) 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 0.836472 + 0.548009i \(0.184614\pi\)
−0.890819 + 0.454358i \(0.849869\pi\)
\(348\) −1.42319 + 0.154781i −0.0762909 + 0.00829713i
\(349\) 1.23675 + 0.744125i 0.0662015 + 0.0398321i 0.548270 0.836302i \(-0.315287\pi\)
−0.482068 + 0.876134i \(0.660114\pi\)
\(350\) 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 0.901908 0.431928i \(-0.142166\pi\)
0.0408480 + 0.999165i \(0.486994\pi\)
\(360\) 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 0.00793991 0.999968i \(-0.497473\pi\)
0.965644 + 0.259869i \(0.0836795\pi\)
\(368\) −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 −0.236841 0.971548i \(-0.576112\pi\)
0.957301 + 0.289092i \(0.0933534\pi\)
\(374\) 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 0.786460 0.617642i \(-0.211912\pi\)
−0.952566 + 0.304332i \(0.901567\pi\)
\(380\) −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 −0.993857 0.110672i \(-0.964700\pi\)
−0.727759 0.685833i \(-0.759438\pi\)
\(384\) 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 −0.743516 0.668718i \(-0.766843\pi\)
0.896427 + 0.443192i \(0.146154\pi\)
\(390\) 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 0.691565 + 0.722314i \(0.256922\pi\)
−0.424727 + 0.905321i \(0.639630\pi\)
\(398\) −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 −0.282618 0.959232i \(-0.591203\pi\)
0.715113 + 0.699009i \(0.246375\pi\)
\(402\) −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 0.0976166 0.995224i \(-0.468878\pi\)
0.966321 0.257340i \(-0.0828460\pi\)
\(410\) −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 −0.872590 0.488453i \(-0.837561\pi\)
−0.747187 + 0.664614i \(0.768596\pi\)
\(420\) −0.141241 + 2.60504i −0.00689186 + 0.127113i
\(421\) −0.0900469 + 0.324319i −0.00438862 + 0.0158064i −0.965712 0.259616i \(-0.916404\pi\)
0.961323 + 0.275423i \(0.0888178\pi\)
\(422\) −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 0.210862 0.977516i \(-0.432373\pi\)
−0.219076 + 0.975708i \(0.570304\pi\)
\(432\) 0.725995 0.687699i 0.0349295 0.0330870i
\(433\) −28.8866 + 9.73303i −1.38820 + 0.467740i −0.911491 0.411320i \(-0.865068\pi\)
−0.476711 + 0.879060i \(0.658171\pi\)
\(434\) −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 −0.873243 0.487286i \(-0.837987\pi\)
0.893373 + 0.449315i \(0.148332\pi\)
\(440\) −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 0.257389 0.966308i \(-0.417138\pi\)
−0.569853 + 0.821746i \(0.693000\pi\)
\(444\) 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 −0.223125 0.974790i \(-0.571626\pi\)
0.206801 + 0.978383i \(0.433695\pi\)
\(450\) 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 −0.976357 0.216166i \(-0.930645\pi\)
−0.0553617 0.998466i \(-0.517631\pi\)
\(458\) −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 0.920216 + 0.391411i \(0.128013\pi\)
−0.997024 + 0.0770956i \(0.975435\pi\)
\(462\) 1.92280 + 0.209117i 0.0894569 + 0.00972902i
\(463\) 14.6994 + 11.1742i 0.683141 + 0.519310i 0.888210 0.459437i \(-0.151949\pi\)
−0.205069 + 0.978747i \(0.565742\pi\)
\(464\) −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 0.969935 0.243362i \(-0.0782505\pi\)
0.239312 + 0.970943i \(0.423078\pi\)
\(468\) 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 0.818227 + 0.574896i \(0.194957\pi\)
−0.875587 + 0.483060i \(0.839525\pi\)
\(480\) 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 0.326297 0.945267i \(-0.394199\pi\)
−0.985604 + 0.169071i \(0.945923\pi\)
\(488\) −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 −0.932243 0.361833i \(-0.882151\pi\)
0.310832 + 0.950465i \(0.399392\pi\)
\(492\) −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 0.668007 0.744155i \(-0.267147\pi\)
−0.938557 + 0.345123i \(0.887837\pi\)
\(500\) 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 0.580004 0.814614i \(-0.303051\pi\)
−0.782018 + 0.623256i \(0.785810\pi\)
\(504\) 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 −0.999952 0.00982844i \(-0.996871\pi\)
0.851749 0.523951i \(-0.175542\pi\)
\(510\) 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 −0.266806 0.963750i \(-0.585968\pi\)
−0.467746 + 0.883863i \(0.654934\pi\)
\(522\) 1.13967 + 0.866355i 0.0498820 + 0.0379193i
\(523\) −1.01066 + 3.64006i −0.0441930 + 0.159169i −0.982354 0.187030i \(-0.940114\pi\)
0.938161 + 0.346199i \(0.112528\pi\)
\(524\) 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 0.472216 0.881483i \(-0.343454\pi\)
0.271683 + 0.962387i \(0.412420\pi\)
\(542\) −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 −0.928999 0.370081i \(-0.879330\pi\)
0.762202 0.647339i \(-0.224118\pi\)
\(548\) −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 0.498497 + 0.866892i \(0.333886\pi\)
−0.997267 + 0.0738883i \(0.976459\pi\)
\(558\) −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 0.410607 0.911812i \(-0.365317\pi\)
−0.999034 + 0.0439483i \(0.986006\pi\)
\(564\) 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 −0.994272 0.106876i \(-0.965915\pi\)
0.795336 + 0.606169i \(0.207294\pi\)
\(570\) 10.0743 3.39443i 0.421967 0.142177i
\(571\) 1.98561 1.88087i 0.0830952 0.0787120i −0.645025 0.764162i \(-0.723153\pi\)
0.728120 + 0.685450i \(0.240394\pi\)
\(572\) −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 −0.00825624 0.999966i \(-0.502628\pi\)
0.961308 + 0.275475i \(0.0888350\pi\)
\(578\) −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 0.293353 0.956004i \(-0.405229\pi\)
−0.345013 + 0.938598i \(0.612125\pi\)
\(588\) 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 0.105443 0.994425i \(-0.466374\pi\)
−0.517858 + 0.855466i \(0.673271\pi\)
\(594\) −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 0.183766 0.982970i \(-0.441171\pi\)
−0.897978 + 0.440040i \(0.854964\pi\)
\(600\) 0.00143262 0.000155806i 5.84863e−5 6.36077e-6i
\(601\) 3.96017 24.1559i 0.161539 0.985342i −0.774276 0.632848i \(-0.781886\pi\)
0.935814 0.352493i \(-0.114666\pi\)
\(602\) 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 0.889050 + 0.457810i \(0.151366\pi\)
−0.834340 + 0.551249i \(0.814151\pi\)
\(608\) 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 −0.0310506 0.999518i \(-0.509885\pi\)
0.391506 + 0.920176i \(0.371954\pi\)
\(614\) −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 −0.992742 0.120262i \(-0.961626\pi\)
0.255731 0.966748i \(-0.417684\pi\)
\(618\) 11.9352 + 11.3056i 0.480103 + 0.454778i
\(619\) 7.90029 + 3.65506i 0.317540 + 0.146909i 0.572184 0.820125i \(-0.306096\pi\)
−0.254644 + 0.967035i \(0.581958\pi\)
\(620\) −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 −0.524442 0.851446i \(-0.675726\pi\)
−0.833484 + 0.552544i \(0.813657\pi\)
\(632\) −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 0.0738918 + 0.997266i \(0.476458\pi\)
−0.577459 + 0.816420i \(0.695956\pi\)
\(642\) −0.00301178 + 0.0555490i −0.000118865 + 0.00219234i
\(643\) 44.1375 4.80025i 1.74061 0.189303i 0.818050 0.575147i \(-0.195055\pi\)
0.922564 + 0.385844i \(0.126090\pi\)
\(644\) −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 −0.656964 0.753922i \(-0.728160\pi\)
0.149301 + 0.988792i \(0.452298\pi\)
\(648\) −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 −0.926971 0.375134i \(-0.877597\pi\)
0.520159 + 0.854069i \(0.325873\pi\)
\(654\) −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 0.903052 0.429531i \(-0.141321\pi\)
0.789603 + 0.613618i \(0.210286\pi\)
\(660\) −0.599530 + 3.65697i −0.0233367 + 0.142348i
\(661\) 25.9903 15.6379i 1.01091 0.608243i 0.0891530 0.996018i \(-0.471584\pi\)
0.921754 + 0.387775i \(0.126756\pi\)
\(662\) 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 0.322690 + 0.946505i \(0.395413\pi\)
−0.998721 + 0.0505658i \(0.983898\pi\)
\(674\) −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 −0.999966 0.00825374i \(-0.997373\pi\)
−0.0623787 0.998053i \(-0.519869\pi\)
\(678\) 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 0.961273 0.275599i \(-0.0888761\pi\)
−0.767564 + 0.640972i \(0.778531\pi\)
\(684\) 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 0.863440 + 0.504452i \(0.168305\pi\)
−0.803838 + 0.594849i \(0.797212\pi\)
\(692\) −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 −0.995167 0.0981935i \(-0.968694\pi\)
0.999950 + 0.00997866i \(0.00317636\pi\)
\(702\) −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 0.905867 + 0.423562i \(0.139220\pi\)
−0.993692 + 0.112145i \(0.964228\pi\)
\(720\) −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 −0.794713 0.606986i \(-0.792378\pi\)
0.563071 + 0.826409i \(0.309620\pi\)
\(728\) 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 0.963964 + 0.266031i \(0.0857125\pi\)
−0.320773 + 0.947156i \(0.603943\pi\)
\(734\) −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 0.700251 0.713897i \(-0.253071\pi\)
−0.674939 + 0.737874i \(0.735830\pi\)
\(740\) −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 0.113732 + 0.993511i \(0.463719\pi\)
−0.965046 + 0.262082i \(0.915591\pi\)
\(744\) −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 0.605390 + 0.795929i \(0.293017\pi\)
−0.319558 + 0.947567i \(0.603534\pi\)
\(752\) −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 0.101843 0.994800i \(-0.467526\pi\)
−0.114390 + 0.993436i \(0.536491\pi\)
\(758\) 5.49598 + 4.17794i 0.199623 + 0.151750i
\(759\) 0.0498997 0.179722i 0.00181124