Properties

Label 354.2.e.b.127.1
Level 354
Weight 2
Character 354.127
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 127.1
Character \(\chi\) = 354.127
Dual form 354.2.e.b.223.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.647386 + 0.762162i) q^{2} +(-0.796093 - 0.605174i) q^{3} +(-0.161782 - 0.986827i) q^{4} +(-1.07211 - 2.02222i) q^{5} +(0.976621 - 0.214970i) q^{6} +(-1.17973 - 0.128303i) q^{7} +(0.856857 + 0.515554i) q^{8} +(0.267528 + 0.963550i) q^{9} +O(q^{10})\) \(q+(-0.647386 + 0.762162i) q^{2} +(-0.796093 - 0.605174i) q^{3} +(-0.161782 - 0.986827i) q^{4} +(-1.07211 - 2.02222i) q^{5} +(0.976621 - 0.214970i) q^{6} +(-1.17973 - 0.128303i) q^{7} +(0.856857 + 0.515554i) q^{8} +(0.267528 + 0.963550i) q^{9} +(2.23533 + 0.492034i) q^{10} +(0.222057 + 0.0748198i) q^{11} +(-0.468408 + 0.883512i) q^{12} +(-1.65335 + 5.95483i) q^{13} +(0.861529 - 0.816084i) q^{14} +(-0.370294 + 2.25869i) q^{15} +(-0.947653 + 0.319302i) q^{16} +(-7.79523 + 0.847783i) q^{17} +(-0.907575 - 0.419889i) q^{18} +(-0.0855598 + 1.57806i) q^{19} +(-1.82213 + 1.38515i) q^{20} +(0.861529 + 0.816084i) q^{21} +(-0.200782 + 0.120806i) q^{22} +(-0.473540 + 0.219083i) q^{23} +(-0.370138 - 0.928977i) q^{24} +(-0.134019 + 0.197663i) q^{25} +(-3.46819 - 5.11520i) q^{26} +(0.370138 - 0.928977i) q^{27} +(0.0642459 + 1.18495i) q^{28} +(-2.73192 - 3.21626i) q^{29} +(-1.48177 - 1.74447i) q^{30} +(0.421203 + 7.76862i) q^{31} +(0.370138 - 0.928977i) q^{32} +(-0.131499 - 0.193947i) q^{33} +(4.40038 - 6.49007i) q^{34} +(1.00535 + 2.52323i) q^{35} +(0.907575 - 0.419889i) q^{36} +(2.27242 - 1.36727i) q^{37} +(-1.14735 - 1.08682i) q^{38} +(4.91993 - 3.74003i) q^{39} +(0.123916 - 2.28549i) q^{40} +(-5.32880 - 2.46536i) q^{41} +(-1.17973 + 0.128303i) q^{42} +(-6.70620 + 2.25958i) q^{43} +(0.0379093 - 0.231237i) q^{44} +(1.66169 - 1.57404i) q^{45} +(0.139587 - 0.502746i) q^{46} +(1.41966 - 2.67776i) q^{47} +(0.947653 + 0.319302i) q^{48} +(-5.46104 - 1.20207i) q^{49} +(-0.0638894 - 0.230109i) q^{50} +(6.71879 + 4.04256i) q^{51} +(6.14387 + 0.668186i) q^{52} +(-10.0924 + 2.22151i) q^{53} +(0.468408 + 0.883512i) q^{54} +(-0.0867686 - 0.529265i) q^{55} +(-0.944713 - 0.718152i) q^{56} +(1.02311 - 1.20450i) q^{57} +4.21992 q^{58} +(6.80324 + 3.56594i) q^{59} +2.28885 q^{60} +(6.95622 - 8.18949i) q^{61} +(-6.19363 - 4.70828i) q^{62} +(-0.191985 - 1.17105i) q^{63} +(0.468408 + 0.883512i) q^{64} +(13.8146 - 3.04082i) q^{65} +(0.232950 + 0.0253348i) q^{66} +(5.10505 + 3.07160i) q^{67} +(2.09774 + 7.55539i) q^{68} +(0.509566 + 0.112164i) q^{69} +(-2.57396 - 0.867268i) q^{70} +(3.36687 - 6.35058i) q^{71} +(-0.267528 + 0.963550i) q^{72} +(-7.30830 + 6.92279i) q^{73} +(-0.429052 + 2.61710i) q^{74} +(0.226312 - 0.0762536i) q^{75} +(1.57111 - 0.170869i) q^{76} +(-0.252368 - 0.116758i) q^{77} +(-0.334584 + 6.17103i) q^{78} +(1.72529 - 1.31153i) q^{79} +(1.66169 + 1.57404i) q^{80} +(-0.856857 + 0.515554i) q^{81} +(5.32880 - 2.46536i) q^{82} +(0.876396 + 2.19959i) q^{83} +(0.665953 - 0.982207i) q^{84} +(10.0718 + 14.8548i) q^{85} +(2.61934 - 6.57404i) q^{86} +(0.228462 + 4.21373i) q^{87} +(0.151698 + 0.178592i) q^{88} +(-0.151243 - 0.178057i) q^{89} +(0.123916 + 2.28549i) q^{90} +(2.71453 - 6.81296i) q^{91} +(0.292807 + 0.431858i) q^{92} +(4.36605 - 6.43945i) q^{93} +(1.12182 + 2.81556i) q^{94} +(3.28291 - 1.51884i) q^{95} +(-0.856857 + 0.515554i) q^{96} +(-0.201018 - 0.190414i) q^{97} +(4.45157 - 3.38400i) q^{98} +(-0.0126860 + 0.233980i) 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 \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{21}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.647386 + 0.762162i −0.457771 + 0.538930i
\(3\) −0.796093 0.605174i −0.459625 0.349397i
\(4\) −0.161782 0.986827i −0.0808910 0.493413i
\(5\) −1.07211 2.02222i −0.479464 0.904365i −0.998761 0.0497712i \(-0.984151\pi\)
0.519296 0.854594i \(-0.326194\pi\)
\(6\) 0.976621 0.214970i 0.398704 0.0877613i
\(7\) −1.17973 0.128303i −0.445896 0.0484941i −0.117583 0.993063i \(-0.537515\pi\)
−0.328313 + 0.944569i \(0.606480\pi\)
\(8\) 0.856857 + 0.515554i 0.302945 + 0.182276i
\(9\) 0.267528 + 0.963550i 0.0891761 + 0.321183i
\(10\) 2.23533 + 0.492034i 0.706875 + 0.155595i
\(11\) 0.222057 + 0.0748198i 0.0669528 + 0.0225590i 0.352579 0.935782i \(-0.385305\pi\)
−0.285626 + 0.958341i \(0.592201\pi\)
\(12\) −0.468408 + 0.883512i −0.135218 + 0.255048i
\(13\) −1.65335 + 5.95483i −0.458557 + 1.65157i 0.267215 + 0.963637i \(0.413897\pi\)
−0.725772 + 0.687936i \(0.758517\pi\)
\(14\) 0.861529 0.816084i 0.230253 0.218108i
\(15\) −0.370294 + 2.25869i −0.0956095 + 0.583192i
\(16\) −0.947653 + 0.319302i −0.236913 + 0.0798254i
\(17\) −7.79523 + 0.847783i −1.89062 + 0.205617i −0.978778 0.204921i \(-0.934306\pi\)
−0.911843 + 0.410539i \(0.865341\pi\)
\(18\) −0.907575 0.419889i −0.213918 0.0989688i
\(19\) −0.0855598 + 1.57806i −0.0196288 + 0.362031i 0.972175 + 0.234257i \(0.0752659\pi\)
−0.991803 + 0.127774i \(0.959217\pi\)
\(20\) −1.82213 + 1.38515i −0.407442 + 0.309729i
\(21\) 0.861529 + 0.816084i 0.188001 + 0.178084i
\(22\) −0.200782 + 0.120806i −0.0428068 + 0.0257560i
\(23\) −0.473540 + 0.219083i −0.0987400 + 0.0456820i −0.468637 0.883391i \(-0.655255\pi\)
0.369897 + 0.929073i \(0.379393\pi\)
\(24\) −0.370138 0.928977i −0.0755541 0.189627i
\(25\) −0.134019 + 0.197663i −0.0268038 + 0.0395327i
\(26\) −3.46819 5.11520i −0.680168 1.00317i
\(27\) 0.370138 0.928977i 0.0712331 0.178782i
\(28\) 0.0642459 + 1.18495i 0.0121413 + 0.223934i
\(29\) −2.73192 3.21626i −0.507304 0.597244i 0.447573 0.894248i \(-0.352289\pi\)
−0.954876 + 0.297003i \(0.904013\pi\)
\(30\) −1.48177 1.74447i −0.270532 0.318495i
\(31\) 0.421203 + 7.76862i 0.0756502 + 1.39529i 0.752222 + 0.658910i \(0.228982\pi\)
−0.676572 + 0.736377i \(0.736535\pi\)
\(32\) 0.370138 0.928977i 0.0654318 0.164221i
\(33\) −0.131499 0.193947i −0.0228911 0.0337618i
\(34\) 4.40038 6.49007i 0.754659 1.11304i
\(35\) 1.00535 + 2.52323i 0.169935 + 0.426504i
\(36\) 0.907575 0.419889i 0.151263 0.0699815i
\(37\) 2.27242 1.36727i 0.373583 0.224777i −0.316363 0.948638i \(-0.602462\pi\)
0.689946 + 0.723861i \(0.257634\pi\)
\(38\) −1.14735 1.08682i −0.186124 0.176306i
\(39\) 4.91993 3.74003i 0.787819 0.598885i
\(40\) 0.123916 2.28549i 0.0195928 0.361367i
\(41\) −5.32880 2.46536i −0.832218 0.385025i −0.0429526 0.999077i \(-0.513676\pi\)
−0.789266 + 0.614052i \(0.789539\pi\)
\(42\) −1.17973 + 0.128303i −0.182036 + 0.0197976i
\(43\) −6.70620 + 2.25958i −1.02269 + 0.344583i −0.780172 0.625565i \(-0.784869\pi\)
−0.242514 + 0.970148i \(0.577972\pi\)
\(44\) 0.0379093 0.231237i 0.00571504 0.0348602i
\(45\) 1.66169 1.57404i 0.247710 0.234644i
\(46\) 0.139587 0.502746i 0.0205809 0.0741258i
\(47\) 1.41966 2.67776i 0.207079 0.390592i −0.758118 0.652118i \(-0.773881\pi\)
0.965197 + 0.261526i \(0.0842256\pi\)
\(48\) 0.947653 + 0.319302i 0.136782 + 0.0460872i
\(49\) −5.46104 1.20207i −0.780149 0.171724i
\(50\) −0.0638894 0.230109i −0.00903533 0.0325423i
\(51\) 6.71879 + 4.04256i 0.940818 + 0.566072i
\(52\) 6.14387 + 0.668186i 0.852001 + 0.0926607i
\(53\) −10.0924 + 2.22151i −1.38630 + 0.305147i −0.844587 0.535418i \(-0.820154\pi\)
−0.541711 + 0.840565i \(0.682223\pi\)
\(54\) 0.468408 + 0.883512i 0.0637423 + 0.120231i
\(55\) −0.0867686 0.529265i −0.0116999 0.0713661i
\(56\) −0.944713 0.718152i −0.126243 0.0959671i
\(57\) 1.02311 1.20450i 0.135515 0.159540i
\(58\) 4.21992 0.554102
\(59\) 6.80324 + 3.56594i 0.885706 + 0.464246i
\(60\) 2.28885 0.295489
\(61\) 6.95622 8.18949i 0.890653 1.04856i −0.107867 0.994165i \(-0.534402\pi\)
0.998520 0.0543919i \(-0.0173220\pi\)
\(62\) −6.19363 4.70828i −0.786592 0.597952i
\(63\) −0.191985 1.17105i −0.0241878 0.147539i
\(64\) 0.468408 + 0.883512i 0.0585511 + 0.110439i
\(65\) 13.8146 3.04082i 1.71349 0.377167i
\(66\) 0.232950 + 0.0253348i 0.0286741 + 0.00311850i
\(67\) 5.10505 + 3.07160i 0.623681 + 0.375256i 0.792040 0.610470i \(-0.209019\pi\)
−0.168359 + 0.985726i \(0.553847\pi\)
\(68\) 2.09774 + 7.55539i 0.254389 + 0.916225i
\(69\) 0.509566 + 0.112164i 0.0613445 + 0.0135029i
\(70\) −2.57396 0.867268i −0.307647 0.103658i
\(71\) 3.36687 6.35058i 0.399573 0.753675i −0.599330 0.800502i \(-0.704566\pi\)
0.998903 + 0.0468270i \(0.0149109\pi\)
\(72\) −0.267528 + 0.963550i −0.0315285 + 0.113555i
\(73\) −7.30830 + 6.92279i −0.855371 + 0.810251i −0.983387 0.181521i \(-0.941898\pi\)
0.128016 + 0.991772i \(0.459139\pi\)
\(74\) −0.429052 + 2.61710i −0.0498762 + 0.304232i
\(75\) 0.226312 0.0762536i 0.0261323 0.00880500i
\(76\) 1.57111 0.170869i 0.180219 0.0196000i
\(77\) −0.252368 0.116758i −0.0287600 0.0133058i
\(78\) −0.334584 + 6.17103i −0.0378841 + 0.698732i
\(79\) 1.72529 1.31153i 0.194110 0.147559i −0.503605 0.863934i \(-0.667993\pi\)
0.697715 + 0.716375i \(0.254200\pi\)
\(80\) 1.66169 + 1.57404i 0.185783 + 0.175983i
\(81\) −0.856857 + 0.515554i −0.0952064 + 0.0572838i
\(82\) 5.32880 2.46536i 0.588467 0.272254i
\(83\) 0.876396 + 2.19959i 0.0961970 + 0.241436i 0.969198 0.246282i \(-0.0792088\pi\)
−0.873001 + 0.487718i \(0.837830\pi\)
\(84\) 0.665953 0.982207i 0.0726614 0.107168i
\(85\) 10.0718 + 14.8548i 1.09244 + 1.61123i
\(86\) 2.61934 6.57404i 0.282450 0.708896i
\(87\) 0.228462 + 4.21373i 0.0244937 + 0.451759i
\(88\) 0.151698 + 0.178592i 0.0161710 + 0.0190380i
\(89\) −0.151243 0.178057i −0.0160317 0.0188740i 0.754088 0.656774i \(-0.228079\pi\)
−0.770120 + 0.637900i \(0.779803\pi\)
\(90\) 0.123916 + 2.28549i 0.0130619 + 0.240912i
\(91\) 2.71453 6.81296i 0.284560 0.714192i
\(92\) 0.292807 + 0.431858i 0.0305273 + 0.0450244i
\(93\) 4.36605 6.43945i 0.452739 0.667740i
\(94\) 1.12182 + 2.81556i 0.115707 + 0.290403i
\(95\) 3.28291 1.51884i 0.336820 0.155829i
\(96\) −0.856857 + 0.515554i −0.0874526 + 0.0526185i
\(97\) −0.201018 0.190414i −0.0204103 0.0193336i 0.677426 0.735591i \(-0.263095\pi\)
−0.697837 + 0.716257i \(0.745854\pi\)
\(98\) 4.45157 3.38400i 0.449677 0.341835i
\(99\) −0.0126860 + 0.233980i −0.00127499 + 0.0235159i
\(100\) 0.216741 + 0.100275i 0.0216741 + 0.0100275i
\(101\) −11.9926 + 1.30427i −1.19330 + 0.129780i −0.683133 0.730294i \(-0.739383\pi\)
−0.510170 + 0.860073i \(0.670418\pi\)
\(102\) −7.43074 + 2.50371i −0.735753 + 0.247904i
\(103\) 2.57140 15.6849i 0.253368 1.54547i −0.487078 0.873358i \(-0.661937\pi\)
0.740446 0.672116i \(-0.234614\pi\)
\(104\) −4.48672 + 4.25005i −0.439959 + 0.416751i
\(105\) 0.726645 2.61714i 0.0709133 0.255407i
\(106\) 4.84053 9.13022i 0.470154 0.886805i
\(107\) 4.65531 + 1.56856i 0.450045 + 0.151638i 0.535192 0.844730i \(-0.320239\pi\)
−0.0851465 + 0.996368i \(0.527136\pi\)
\(108\) −0.976621 0.214970i −0.0939754 0.0206855i
\(109\) −1.43881 5.18211i −0.137813 0.496356i 0.862134 0.506680i \(-0.169127\pi\)
−0.999947 + 0.0103241i \(0.996714\pi\)
\(110\) 0.459558 + 0.276507i 0.0438172 + 0.0263639i
\(111\) −2.63649 0.286735i −0.250244 0.0272157i
\(112\) 1.15894 0.255103i 0.109510 0.0241049i
\(113\) 7.58928 + 14.3149i 0.713939 + 1.34663i 0.929018 + 0.370035i \(0.120654\pi\)
−0.215079 + 0.976597i \(0.569001\pi\)
\(114\) 0.255676 + 1.55956i 0.0239463 + 0.146066i
\(115\) 0.950724 + 0.722722i 0.0886555 + 0.0673942i
\(116\) −2.73192 + 3.21626i −0.253652 + 0.298622i
\(117\) −6.18009 −0.571350
\(118\) −7.12215 + 2.87663i −0.655647 + 0.264815i
\(119\) 9.30504 0.852992
\(120\) −1.48177 + 1.74447i −0.135266 + 0.159248i
\(121\) −8.71331 6.62369i −0.792119 0.602153i
\(122\) 1.73836 + 10.6035i 0.157384 + 0.959999i
\(123\) 2.75024 + 5.18751i 0.247981 + 0.467742i
\(124\) 7.59814 1.67248i 0.682333 0.150193i
\(125\) −10.8337 1.17824i −0.968999 0.105385i
\(126\) 1.01682 + 0.611801i 0.0905856 + 0.0545035i
\(127\) −5.53004 19.9174i −0.490712 1.76738i −0.629436 0.777052i \(-0.716714\pi\)
0.138725 0.990331i \(-0.455700\pi\)
\(128\) −0.976621 0.214970i −0.0863219 0.0190009i
\(129\) 6.70620 + 2.25958i 0.590448 + 0.198945i
\(130\) −6.62577 + 12.4975i −0.581118 + 1.09611i
\(131\) −2.25556 + 8.12381i −0.197070 + 0.709780i 0.797279 + 0.603612i \(0.206272\pi\)
−0.994348 + 0.106169i \(0.966142\pi\)
\(132\) −0.170118 + 0.161144i −0.0148069 + 0.0140258i
\(133\) 0.303408 1.85070i 0.0263088 0.160476i
\(134\) −5.64600 + 1.90236i −0.487740 + 0.164339i
\(135\) −2.27543 + 0.247468i −0.195838 + 0.0212986i
\(136\) −7.11648 3.29243i −0.610233 0.282324i
\(137\) 1.12372 20.7258i 0.0960057 1.77072i −0.413739 0.910396i \(-0.635777\pi\)
0.509744 0.860326i \(-0.329740\pi\)
\(138\) −0.415373 + 0.315758i −0.0353589 + 0.0268791i
\(139\) 12.3510 + 11.6995i 1.04760 + 0.992340i 0.999979 0.00652530i \(-0.00207708\pi\)
0.0476220 + 0.998865i \(0.484836\pi\)
\(140\) 2.32735 1.40032i 0.196697 0.118348i
\(141\) −2.75070 + 1.27261i −0.231650 + 0.107173i
\(142\) 2.66051 + 6.67738i 0.223265 + 0.560353i
\(143\) −0.812678 + 1.19861i −0.0679596 + 0.100233i
\(144\) −0.561187 0.827689i −0.0467656 0.0689741i
\(145\) −3.57507 + 8.97274i −0.296893 + 0.745145i
\(146\) −0.544994 10.0518i −0.0451040 0.831895i
\(147\) 3.62004 + 4.26184i 0.298576 + 0.351511i
\(148\) −1.71689 2.02128i −0.141128 0.166148i
\(149\) 0.268825 + 4.95818i 0.0220230 + 0.406190i 0.988673 + 0.150088i \(0.0479556\pi\)
−0.966650 + 0.256102i \(0.917562\pi\)
\(150\) −0.0883940 + 0.221852i −0.00721734 + 0.0181142i
\(151\) −8.52834 12.5784i −0.694027 1.02361i −0.997493 0.0707705i \(-0.977454\pi\)
0.303466 0.952842i \(-0.401856\pi\)
\(152\) −0.886886 + 1.30806i −0.0719359 + 0.106098i
\(153\) −2.90233 7.28429i −0.234639 0.588900i
\(154\) 0.252368 0.116758i 0.0203364 0.00940862i
\(155\) 15.2583 9.18062i 1.22558 0.737405i
\(156\) −4.48672 4.25005i −0.359225 0.340276i
\(157\) −3.15762 + 2.40036i −0.252006 + 0.191570i −0.723549 0.690273i \(-0.757490\pi\)
0.471543 + 0.881843i \(0.343697\pi\)
\(158\) −0.117329 + 2.16401i −0.00933423 + 0.172160i
\(159\) 9.37889 + 4.33914i 0.743794 + 0.344116i
\(160\) −2.27543 + 0.247468i −0.179888 + 0.0195640i
\(161\) 0.586759 0.197702i 0.0462431 0.0155811i
\(162\) 0.161782 0.986827i 0.0127108 0.0775324i
\(163\) −9.52848 + 9.02585i −0.746328 + 0.706959i −0.963065 0.269271i \(-0.913217\pi\)
0.216737 + 0.976230i \(0.430459\pi\)
\(164\) −1.57078 + 5.65745i −0.122658 + 0.441773i
\(165\) −0.251222 + 0.473854i −0.0195576 + 0.0368895i
\(166\) −2.24381 0.756027i −0.174153 0.0586791i
\(167\) −13.2022 2.90603i −1.02162 0.224875i −0.327588 0.944821i \(-0.606236\pi\)
−0.694031 + 0.719945i \(0.744167\pi\)
\(168\) 0.317472 + 1.14343i 0.0244935 + 0.0882177i
\(169\) −21.5873 12.9886i −1.66056 0.999126i
\(170\) −17.8421 1.94044i −1.36843 0.148825i
\(171\) −1.54343 + 0.339734i −0.118029 + 0.0259801i
\(172\) 3.31476 + 6.25230i 0.252748 + 0.476733i
\(173\) 0.724937 + 4.42192i 0.0551160 + 0.336192i 0.999962 + 0.00867863i \(0.00276253\pi\)
−0.944846 + 0.327514i \(0.893789\pi\)
\(174\) −3.35945 2.55378i −0.254679 0.193602i
\(175\) 0.183467 0.215994i 0.0138688 0.0163276i
\(176\) −0.234323 −0.0176628
\(177\) −3.25799 6.95597i −0.244886 0.522843i
\(178\) 0.233621 0.0175107
\(179\) 5.58176 6.57135i 0.417200 0.491166i −0.512912 0.858441i \(-0.671433\pi\)
0.930112 + 0.367275i \(0.119709\pi\)
\(180\) −1.82213 1.38515i −0.135814 0.103243i
\(181\) 1.15761 + 7.06114i 0.0860448 + 0.524850i 0.994316 + 0.106468i \(0.0339543\pi\)
−0.908271 + 0.418382i \(0.862597\pi\)
\(182\) 3.43523 + 6.47953i 0.254636 + 0.480295i
\(183\) −10.4939 + 2.30987i −0.775729 + 0.170751i
\(184\) −0.518706 0.0564126i −0.0382395 0.00415879i
\(185\) −5.20121 3.12946i −0.382400 0.230083i
\(186\) 2.08138 + 7.49645i 0.152614 + 0.549667i
\(187\) −1.79442 0.394982i −0.131221 0.0288839i
\(188\) −2.87216 0.967745i −0.209474 0.0705800i
\(189\) −0.555854 + 1.04845i −0.0404324 + 0.0762637i
\(190\) −0.967713 + 3.48539i −0.0702052 + 0.252856i
\(191\) 5.43547 5.14875i 0.393297 0.372551i −0.465342 0.885131i \(-0.654069\pi\)
0.858639 + 0.512580i \(0.171310\pi\)
\(192\) 0.161782 0.986827i 0.0116756 0.0712181i
\(193\) −16.1810 + 5.45200i −1.16473 + 0.392444i −0.834259 0.551372i \(-0.814104\pi\)
−0.330472 + 0.943816i \(0.607208\pi\)
\(194\) 0.275263 0.0299366i 0.0197627 0.00214932i
\(195\) −12.8379 5.93945i −0.919342 0.425333i
\(196\) −0.302733 + 5.58357i −0.0216238 + 0.398827i
\(197\) 1.92977 1.46697i 0.137490 0.104518i −0.534168 0.845378i \(-0.679375\pi\)
0.671659 + 0.740861i \(0.265582\pi\)
\(198\) −0.170118 0.161144i −0.0120897 0.0114520i
\(199\) 1.94835 1.17228i 0.138115 0.0831009i −0.444819 0.895620i \(-0.646732\pi\)
0.582934 + 0.812519i \(0.301905\pi\)
\(200\) −0.216741 + 0.100275i −0.0153259 + 0.00709053i
\(201\) −2.20524 5.53472i −0.155545 0.390389i
\(202\) 6.76975 9.98463i 0.476318 0.702516i
\(203\) 2.81027 + 4.14483i 0.197242 + 0.290910i
\(204\) 2.90233 7.28429i 0.203204 0.510002i
\(205\) 0.727566 + 13.4192i 0.0508154 + 0.937235i
\(206\) 10.2897 + 12.1140i 0.716918 + 0.844021i
\(207\) −0.337783 0.397669i −0.0234775 0.0276399i
\(208\) −0.334584 6.17103i −0.0231992 0.427884i
\(209\) −0.137069 + 0.344018i −0.00948127 + 0.0237962i
\(210\) 1.52426 + 2.24812i 0.105184 + 0.155135i
\(211\) −1.08542 + 1.60088i −0.0747237 + 0.110209i −0.863214 0.504837i \(-0.831552\pi\)
0.788491 + 0.615047i \(0.210863\pi\)
\(212\) 3.82501 + 9.60005i 0.262703 + 0.659334i
\(213\) −6.52355 + 3.01811i −0.446986 + 0.206798i
\(214\) −4.20927 + 2.53264i −0.287740 + 0.173127i
\(215\) 11.7592 + 11.1389i 0.801970 + 0.759667i
\(216\) 0.796093 0.605174i 0.0541673 0.0411769i
\(217\) 0.499835 9.21892i 0.0339310 0.625821i
\(218\) 4.88107 + 2.25822i 0.330588 + 0.152946i
\(219\) 10.0076 1.08839i 0.676249 0.0735465i
\(220\) −0.508255 + 0.171251i −0.0342665 + 0.0115457i
\(221\) 7.83985 47.8210i 0.527365 3.21679i
\(222\) 1.92537 1.82380i 0.129222 0.122406i
\(223\) −2.46733 + 8.88651i −0.165224 + 0.595085i 0.833847 + 0.551996i \(0.186134\pi\)
−0.999071 + 0.0430887i \(0.986280\pi\)
\(224\) −0.555854 + 1.04845i −0.0371396 + 0.0700526i
\(225\) −0.226312 0.0762536i −0.0150875 0.00508357i
\(226\) −15.8235 3.48301i −1.05256 0.231686i
\(227\) 5.96305 + 21.4770i 0.395781 + 1.42548i 0.846299 + 0.532708i \(0.178826\pi\)
−0.450518 + 0.892768i \(0.648761\pi\)
\(228\) −1.35416 0.814768i −0.0896811 0.0539594i
\(229\) 4.98039 + 0.541650i 0.329114 + 0.0357933i 0.271184 0.962527i \(-0.412585\pi\)
0.0579292 + 0.998321i \(0.481550\pi\)
\(230\) −1.16632 + 0.256726i −0.0769047 + 0.0169280i
\(231\) 0.130250 + 0.245677i 0.00856980 + 0.0161644i
\(232\) −0.682706 4.16432i −0.0448219 0.273401i
\(233\) 13.6565 + 10.3814i 0.894669 + 0.680110i 0.947933 0.318471i \(-0.103169\pi\)
−0.0532638 + 0.998580i \(0.516962\pi\)
\(234\) 4.00091 4.71023i 0.261548 0.307918i
\(235\) −6.93707 −0.452525
\(236\) 2.41833 7.29052i 0.157420 0.474572i
\(237\) −2.16719 −0.140774
\(238\) −6.02396 + 7.09195i −0.390475 + 0.459703i
\(239\) −14.6745 11.1553i −0.949214 0.721573i 0.0112623 0.999937i \(-0.496415\pi\)
−0.960476 + 0.278363i \(0.910208\pi\)
\(240\) −0.370294 2.25869i −0.0239024 0.145798i
\(241\) −1.50041 2.83008i −0.0966502 0.182302i 0.830472 0.557060i \(-0.188071\pi\)
−0.927123 + 0.374758i \(0.877726\pi\)
\(242\) 10.6892 2.35287i 0.687128 0.151248i
\(243\) 0.994138 + 0.108119i 0.0637740 + 0.00693584i
\(244\) −9.20700 5.53967i −0.589418 0.354641i
\(245\) 3.42402 + 12.3322i 0.218752 + 0.787875i
\(246\) −5.73419 1.26219i −0.365599 0.0804744i
\(247\) −9.25560 3.11858i −0.588920 0.198430i
\(248\) −3.64423 + 6.87375i −0.231409 + 0.436484i
\(249\) 0.633441 2.28145i 0.0401427 0.144581i
\(250\) 7.91162 7.49429i 0.500375 0.473980i
\(251\) −4.70436 + 28.6954i −0.296937 + 1.81123i 0.243557 + 0.969887i \(0.421686\pi\)
−0.540494 + 0.841348i \(0.681763\pi\)
\(252\) −1.12457 + 0.378911i −0.0708411 + 0.0238691i
\(253\) −0.121545 + 0.0132188i −0.00764146 + 0.000831059i
\(254\) 18.7604 + 8.67946i 1.17713 + 0.544598i
\(255\) 0.971647 17.9210i 0.0608469 1.12225i
\(256\) 0.796093 0.605174i 0.0497558 0.0378234i
\(257\) 0.825815 + 0.782254i 0.0515129 + 0.0487956i 0.713023 0.701141i \(-0.247325\pi\)
−0.661510 + 0.749936i \(0.730084\pi\)
\(258\) −6.06367 + 3.64839i −0.377508 + 0.227139i
\(259\) −2.85626 + 1.32145i −0.177479 + 0.0821108i
\(260\) −5.23571 13.1406i −0.324705 0.814948i
\(261\) 2.36816 3.49278i 0.146586 0.216197i
\(262\) −4.73144 6.97835i −0.292309 0.431124i
\(263\) −7.02137 + 17.6223i −0.432956 + 1.08664i 0.537048 + 0.843552i \(0.319539\pi\)
−0.970004 + 0.243087i \(0.921840\pi\)
\(264\) −0.0126860 0.233980i −0.000780770 0.0144005i
\(265\) 15.3126 + 18.0274i 0.940645 + 1.10741i
\(266\) 1.21411 + 1.42937i 0.0744421 + 0.0876401i
\(267\) 0.0126480 + 0.233279i 0.000774045 + 0.0142764i
\(268\) 2.20524 5.53472i 0.134706 0.338087i
\(269\) 6.55637 + 9.66992i 0.399749 + 0.589585i 0.973287 0.229594i \(-0.0737397\pi\)
−0.573538 + 0.819179i \(0.694429\pi\)
\(270\) 1.28447 1.89445i 0.0781704 0.115293i
\(271\) 1.30044 + 3.26385i 0.0789960 + 0.198265i 0.963170 0.268892i \(-0.0866575\pi\)
−0.884174 + 0.467157i \(0.845278\pi\)
\(272\) 7.11648 3.29243i 0.431500 0.199633i
\(273\) −6.28405 + 3.78099i −0.380328 + 0.228836i
\(274\) 15.0689 + 14.2740i 0.910346 + 0.862326i
\(275\) −0.0445491 + 0.0338653i −0.00268641 + 0.00204216i
\(276\) 0.0282477 0.520999i 0.00170031 0.0313605i
\(277\) 15.2008 + 7.03262i 0.913326 + 0.422549i 0.819526 0.573042i \(-0.194237\pi\)
0.0937994 + 0.995591i \(0.470099\pi\)
\(278\) −16.9128 + 1.83938i −1.01436 + 0.110319i
\(279\) −7.37277 + 2.48418i −0.441396 + 0.148724i
\(280\) −0.439423 + 2.68036i −0.0262605 + 0.160182i
\(281\) 2.49371 2.36217i 0.148762 0.140915i −0.609700 0.792633i \(-0.708710\pi\)
0.758462 + 0.651718i \(0.225951\pi\)
\(282\) 0.810830 2.92034i 0.0482842 0.173904i
\(283\) −3.03192 + 5.71880i −0.180229 + 0.339948i −0.957122 0.289685i \(-0.906450\pi\)
0.776893 + 0.629632i \(0.216794\pi\)
\(284\) −6.81162 2.29510i −0.404195 0.136189i
\(285\) −3.53267 0.777598i −0.209257 0.0460610i
\(286\) −0.387419 1.39536i −0.0229086 0.0825092i
\(287\) 5.97023 + 3.59217i 0.352411 + 0.212039i
\(288\) 0.994138 + 0.108119i 0.0585801 + 0.00637097i
\(289\) 43.4444 9.56283i 2.55555 0.562519i
\(290\) −4.52423 8.53361i −0.265672 0.501111i
\(291\) 0.0447952 + 0.273238i 0.00262594 + 0.0160175i
\(292\) 8.01394 + 6.09204i 0.468980 + 0.356510i
\(293\) 6.30656 7.42466i 0.368433 0.433753i −0.546437 0.837500i \(-0.684016\pi\)
0.914871 + 0.403747i \(0.132292\pi\)
\(294\) −5.59178 −0.326119
\(295\) −0.0827154 17.5808i −0.00481588 1.02359i
\(296\) 2.65204 0.154146
\(297\) 0.151698 0.178592i 0.00880240 0.0103630i
\(298\) −3.95297 3.00497i −0.228989 0.174073i
\(299\) −0.521674 3.18207i −0.0301692 0.184024i
\(300\) −0.111862 0.210995i −0.00645837 0.0121818i
\(301\) 8.20142 1.80527i 0.472722 0.104054i
\(302\) 15.1079 + 1.64308i 0.869361 + 0.0945487i
\(303\) 10.3365 + 6.21926i 0.593816 + 0.357287i
\(304\) −0.422795 1.52277i −0.0242490 0.0873369i
\(305\) −24.0188 5.28695i −1.37531 0.302730i
\(306\) 7.43074 + 2.50371i 0.424787 + 0.143127i
\(307\) −11.1064 + 20.9489i −0.633876 + 1.19562i 0.333614 + 0.942710i \(0.391732\pi\)
−0.967490 + 0.252908i \(0.918613\pi\)
\(308\) −0.0743912 + 0.267933i −0.00423883 + 0.0152669i
\(309\) −11.5391 + 10.9305i −0.656439 + 0.621812i
\(310\) −2.88090 + 17.5727i −0.163624 + 0.998063i
\(311\) 19.4992 6.57005i 1.10570 0.372553i 0.293514 0.955955i \(-0.405175\pi\)
0.812184 + 0.583402i \(0.198279\pi\)
\(312\) 6.14387 0.668186i 0.347828 0.0378286i
\(313\) 17.0687 + 7.89681i 0.964779 + 0.446354i 0.838056 0.545584i \(-0.183692\pi\)
0.126723 + 0.991938i \(0.459554\pi\)
\(314\) 0.214737 3.96058i 0.0121183 0.223509i
\(315\) −2.16230 + 1.64374i −0.121832 + 0.0926142i
\(316\) −1.57337 1.49038i −0.0885091 0.0838403i
\(317\) 1.68758 1.01538i 0.0947840 0.0570296i −0.467373 0.884060i \(-0.654799\pi\)
0.562157 + 0.827031i \(0.309972\pi\)
\(318\) −9.37889 + 4.33914i −0.525942 + 0.243327i
\(319\) −0.366002 0.918596i −0.0204922 0.0514315i
\(320\) 1.28447 1.89445i 0.0718041 0.105903i
\(321\) −2.75681 4.06599i −0.153870 0.226941i
\(322\) −0.229179 + 0.575195i −0.0127716 + 0.0320544i
\(323\) −0.670891 12.3739i −0.0373294 0.688500i
\(324\) 0.647386 + 0.762162i 0.0359659 + 0.0423423i
\(325\) −0.955471 1.12487i −0.0530000 0.0623964i
\(326\) −0.710557 13.1055i −0.0393541 0.725844i
\(327\) −1.99066 + 4.99617i −0.110084 + 0.276289i
\(328\) −3.29499 4.85975i −0.181935 0.268335i
\(329\) −2.01838 + 2.97689i −0.111277 + 0.164121i
\(330\) −0.198516 0.498238i −0.0109280 0.0274271i
\(331\) 25.8201 11.9456i 1.41920 0.656592i 0.447821 0.894123i \(-0.352200\pi\)
0.971380 + 0.237531i \(0.0763382\pi\)
\(332\) 2.02883 1.22070i 0.111346 0.0669949i
\(333\) 1.92537 + 1.82380i 0.105509 + 0.0999438i
\(334\) 10.7618 8.18091i 0.588860 0.447640i
\(335\) 0.738273 13.6166i 0.0403362 0.743957i
\(336\) −1.07701 0.498277i −0.0587556 0.0271832i
\(337\) −28.3522 + 3.08348i −1.54444 + 0.167968i −0.840311 0.542104i \(-0.817628\pi\)
−0.704129 + 0.710072i \(0.748662\pi\)
\(338\) 23.8748 8.04434i 1.29862 0.437555i
\(339\) 2.62123 15.9888i 0.142366 0.868394i
\(340\) 13.0297 12.3423i 0.706632 0.669357i
\(341\) −0.487716 + 1.75659i −0.0264113 + 0.0951249i
\(342\) 0.740261 1.39628i 0.0400287 0.0755022i
\(343\) 14.1603 + 4.77116i 0.764584 + 0.257618i
\(344\) −6.91119 1.52127i −0.372627 0.0820213i
\(345\) −0.319492 1.15071i −0.0172009 0.0619520i
\(346\) −3.83954 2.31017i −0.206415 0.124196i
\(347\) −35.0779 3.81495i −1.88308 0.204797i −0.906837 0.421482i \(-0.861510\pi\)
−0.976242 + 0.216685i \(0.930475\pi\)
\(348\) 4.12126 0.907157i 0.220923 0.0486287i
\(349\) −14.7375 27.7979i −0.788880 1.48799i −0.870956 0.491360i \(-0.836500\pi\)
0.0820759 0.996626i \(-0.473845\pi\)
\(350\) 0.0458485 + 0.279664i 0.00245071 + 0.0149486i
\(351\) 4.91993 + 3.74003i 0.262606 + 0.199628i
\(352\) 0.151698 0.178592i 0.00808552 0.00951901i
\(353\) −3.34372 −0.177968 −0.0889842 0.996033i \(-0.528362\pi\)
−0.0889842 + 0.996033i \(0.528362\pi\)
\(354\) 7.41075 + 2.02008i 0.393877 + 0.107366i
\(355\) −16.4520 −0.873179
\(356\) −0.151243 + 0.178057i −0.00801587 + 0.00943702i
\(357\) −7.40768 5.63117i −0.392056 0.298033i
\(358\) 1.39488 + 8.50841i 0.0737218 + 0.449683i
\(359\) 10.1935 + 19.2270i 0.537992 + 1.01476i 0.992293 + 0.123912i \(0.0395442\pi\)
−0.454301 + 0.890848i \(0.650111\pi\)
\(360\) 2.23533 0.492034i 0.117812 0.0259325i
\(361\) 16.4057 + 1.78422i 0.863457 + 0.0939066i
\(362\) −6.13116 3.68899i −0.322246 0.193889i
\(363\) 2.92812 + 10.5461i 0.153687 + 0.553529i
\(364\) −7.16237 1.57656i −0.375410 0.0826341i
\(365\) 21.8347 + 7.35698i 1.14288 + 0.385082i
\(366\) 5.03309 9.49341i 0.263084 0.496228i
\(367\) 2.42850 8.74665i 0.126766 0.456571i −0.872733 0.488197i \(-0.837655\pi\)
0.999500 + 0.0316258i \(0.0100685\pi\)
\(368\) 0.378798 0.358817i 0.0197462 0.0187046i
\(369\) 0.949897 5.79412i 0.0494497 0.301630i
\(370\) 5.75235 1.93819i 0.299050 0.100762i
\(371\) 12.1913 1.32589i 0.632943 0.0688367i
\(372\) −7.06097 3.26675i −0.366094 0.169373i
\(373\) −0.942316 + 17.3800i −0.0487913 + 0.899902i 0.867015 + 0.498282i \(0.166036\pi\)
−0.915806 + 0.401620i \(0.868447\pi\)
\(374\) 1.46272 1.11193i 0.0756356 0.0574967i
\(375\) 7.91162 + 7.49429i 0.408554 + 0.387003i
\(376\) 2.59698 1.56255i 0.133929 0.0805824i
\(377\) 23.6691 10.9505i 1.21902 0.563979i
\(378\) −0.439238 1.10240i −0.0225920 0.0567016i
\(379\) 21.3256 31.4530i 1.09542 1.61563i 0.367423 0.930054i \(-0.380240\pi\)
0.728001 0.685576i \(-0.240450\pi\)
\(380\) −2.02994 2.99394i −0.104134 0.153586i
\(381\) −7.65107 + 19.2027i −0.391976 + 0.983786i
\(382\) 0.405334 + 7.47594i 0.0207387 + 0.382503i
\(383\) −2.52864 2.97695i −0.129208 0.152115i 0.693754 0.720212i \(-0.255956\pi\)
−0.822961 + 0.568097i \(0.807680\pi\)
\(384\) 0.647386 + 0.762162i 0.0330368 + 0.0388939i
\(385\) 0.0344570 + 0.635522i 0.00175609 + 0.0323892i
\(386\) 6.32003 15.8621i 0.321681 0.807358i
\(387\) −3.97132 5.85726i −0.201874 0.297741i
\(388\) −0.155385 + 0.229175i −0.00788847 + 0.0116346i
\(389\) 7.32953 + 18.3957i 0.371622 + 0.932700i 0.989251 + 0.146231i \(0.0467142\pi\)
−0.617629 + 0.786470i \(0.711907\pi\)
\(390\) 12.8379 5.93945i 0.650073 0.300756i
\(391\) 3.50562 2.10926i 0.177287 0.106670i
\(392\) −4.05960 3.84546i −0.205041 0.194225i
\(393\) 6.71196 5.10230i 0.338573 0.257377i
\(394\) −0.131236 + 2.42050i −0.00661155 + 0.121943i
\(395\) −4.50191 2.08280i −0.226516 0.104797i
\(396\) 0.232950 0.0253348i 0.0117062 0.00127312i
\(397\) −3.37640 + 1.13764i −0.169457 + 0.0570967i −0.402751 0.915310i \(-0.631946\pi\)
0.233294 + 0.972406i \(0.425049\pi\)
\(398\) −0.367865 + 2.24388i −0.0184394 + 0.112475i
\(399\) −1.36154 + 1.28972i −0.0681622 + 0.0645667i
\(400\) 0.0638894 0.230109i 0.00319447 0.0115054i
\(401\) −11.5150 + 21.7197i −0.575034 + 1.08463i 0.409970 + 0.912099i \(0.365539\pi\)
−0.985004 + 0.172530i \(0.944806\pi\)
\(402\) 5.64600 + 1.90236i 0.281597 + 0.0948810i
\(403\) −46.9572 10.3361i −2.33911 0.514876i
\(404\) 3.22727 + 11.6236i 0.160562 + 0.578294i
\(405\) 1.96121 + 1.18002i 0.0974535 + 0.0586358i
\(406\) −4.97836 0.541429i −0.247072 0.0268707i
\(407\) 0.606905 0.133590i 0.0300832 0.00662181i
\(408\) 3.67288 + 6.92779i 0.181835 + 0.342977i
\(409\) 0.435248 + 2.65490i 0.0215216 + 0.131276i 0.995402 0.0957857i \(-0.0305363\pi\)
−0.973880 + 0.227062i \(0.927088\pi\)
\(410\) −10.6986 8.13286i −0.528366 0.401653i
\(411\) −13.4373 + 15.8196i −0.662812 + 0.780323i
\(412\) −15.8942 −0.783053
\(413\) −7.56846 5.07973i −0.372420 0.249957i
\(414\) 0.521764 0.0256433
\(415\) 3.50846 4.13048i 0.172224 0.202757i
\(416\) 4.91993 + 3.74003i 0.241219 + 0.183370i
\(417\) −2.75232 16.7884i −0.134782 0.822133i
\(418\) −0.173461 0.327181i −0.00848423 0.0160030i
\(419\) −19.9865 + 4.39936i −0.976404 + 0.214923i −0.674386 0.738379i \(-0.735591\pi\)
−0.302019 + 0.953302i \(0.597660\pi\)
\(420\) −2.70022 0.293667i −0.131757 0.0143295i
\(421\) 7.44734 + 4.48092i 0.362961 + 0.218387i 0.685338 0.728225i \(-0.259654\pi\)
−0.322377 + 0.946611i \(0.604482\pi\)
\(422\) −0.517442 1.86366i −0.0251887 0.0907214i
\(423\) 2.95996 + 0.651536i 0.143918 + 0.0316788i
\(424\) −9.79305 3.29966i −0.475593 0.160246i
\(425\) 0.877135 1.65445i 0.0425473 0.0802527i
\(426\) 1.92296 6.92588i 0.0931678 0.335560i
\(427\) −9.25720 + 8.76889i −0.447987 + 0.424356i
\(428\) 0.794747 4.84774i 0.0384156 0.234325i
\(429\) 1.37234 0.462394i 0.0662570 0.0223246i
\(430\) −16.1024 + 1.75124i −0.776526 + 0.0844523i
\(431\) 7.03695 + 3.25564i 0.338958 + 0.156819i 0.581982 0.813202i \(-0.302277\pi\)
−0.243024 + 0.970020i \(0.578139\pi\)
\(432\) −0.0541389 + 0.998533i −0.00260476 + 0.0480420i
\(433\) −5.53422 + 4.20701i −0.265958 + 0.202176i −0.729651 0.683820i \(-0.760317\pi\)
0.463693 + 0.885996i \(0.346524\pi\)
\(434\) 6.70273 + 6.34916i 0.321741 + 0.304769i
\(435\) 8.27616 4.97960i 0.396811 0.238753i
\(436\) −4.88107 + 2.25822i −0.233761 + 0.108149i
\(437\) −0.305210 0.766018i −0.0146002 0.0366436i
\(438\) −5.64924 + 8.33200i −0.269931 + 0.398119i
\(439\) 1.33409 + 1.96764i 0.0636726 + 0.0939101i 0.858192 0.513328i \(-0.171588\pi\)
−0.794520 + 0.607238i \(0.792277\pi\)
\(440\) 0.198516 0.498238i 0.00946389 0.0237526i
\(441\) −0.302733 5.58357i −0.0144158 0.265884i
\(442\) 31.3719 + 36.9339i 1.49221 + 1.75677i
\(443\) −16.1695 19.0362i −0.768236 0.904437i 0.229388 0.973335i \(-0.426328\pi\)
−0.997624 + 0.0688981i \(0.978052\pi\)
\(444\) 0.143578 + 2.64815i 0.00681392 + 0.125675i
\(445\) −0.197921 + 0.496745i −0.00938237 + 0.0235480i
\(446\) −5.17565 7.63351i −0.245074 0.361457i
\(447\) 2.78655 4.10986i 0.131799 0.194389i
\(448\) −0.439238 1.10240i −0.0207520 0.0520837i
\(449\) −14.5589 + 6.73567i −0.687078 + 0.317876i −0.732185 0.681106i \(-0.761499\pi\)
0.0451069 + 0.998982i \(0.485637\pi\)
\(450\) 0.204629 0.123121i 0.00964631 0.00580399i
\(451\) −0.998840 0.946152i −0.0470336 0.0445526i
\(452\) 12.8985 9.80519i 0.606695 0.461197i
\(453\) −0.822747 + 15.1747i −0.0386560 + 0.712969i
\(454\) −20.2293 9.35908i −0.949409 0.439243i
\(455\) −16.6876 + 1.81489i −0.782327 + 0.0850832i
\(456\) 1.49765 0.504616i 0.0701338 0.0236308i
\(457\) 5.14721 31.3966i 0.240776 1.46867i −0.538837 0.842410i \(-0.681136\pi\)
0.779613 0.626261i \(-0.215416\pi\)
\(458\) −3.63706 + 3.44521i −0.169949 + 0.160984i
\(459\) −2.09774 + 7.55539i −0.0979142 + 0.352655i
\(460\) 0.559391 1.05512i 0.0260817 0.0491954i
\(461\) −35.5748 11.9865i −1.65688 0.558269i −0.673402 0.739276i \(-0.735168\pi\)
−0.983482 + 0.181007i \(0.942064\pi\)
\(462\) −0.271567 0.0597765i −0.0126345 0.00278105i
\(463\) 7.91272 + 28.4990i 0.367735 + 1.32446i 0.883781 + 0.467901i \(0.154990\pi\)
−0.516046 + 0.856561i \(0.672597\pi\)
\(464\) 3.61586 + 2.17559i 0.167862 + 0.100999i
\(465\) −17.7029 1.92531i −0.820953 0.0892840i
\(466\) −16.7534 + 3.68770i −0.776085 + 0.170829i
\(467\) 16.8499 + 31.7822i 0.779718 + 1.47070i 0.879605 + 0.475706i \(0.157807\pi\)
−0.0998864 + 0.994999i \(0.531848\pi\)
\(468\) 0.999828 + 6.09868i 0.0462171 + 0.281912i
\(469\) −5.62848 4.27866i −0.259899 0.197570i
\(470\) 4.49097 5.28717i 0.207153 0.243879i
\(471\) 3.96640 0.182762
\(472\) 3.99097 + 6.56294i 0.183699 + 0.302084i
\(473\) −1.65822 −0.0762452
\(474\) 1.40301 1.65175i 0.0644424 0.0758675i
\(475\) −0.300458 0.228402i −0.0137859 0.0104798i
\(476\) −1.50539 9.18246i −0.0689994 0.420878i
\(477\) −4.84053 9.13022i −0.221633 0.418044i
\(478\) 18.0022 3.96258i 0.823400 0.181244i
\(479\) −28.3355 3.08167i −1.29468 0.140805i −0.565285 0.824895i \(-0.691234\pi\)
−0.729397 + 0.684090i \(0.760199\pi\)
\(480\) 1.96121 + 1.18002i 0.0895167 + 0.0538604i
\(481\) 4.38474 + 15.7924i 0.199927 + 0.720072i
\(482\) 3.12833 + 0.688597i 0.142491 + 0.0313647i
\(483\) −0.586759 0.197702i −0.0266985 0.00899576i
\(484\) −5.12677 + 9.67012i −0.233035 + 0.439551i
\(485\) −0.169546 + 0.610649i −0.00769868 + 0.0277281i
\(486\) −0.725995 + 0.687699i −0.0329318 + 0.0311947i
\(487\) 3.15862 19.2668i 0.143131 0.873060i −0.813459 0.581622i \(-0.802418\pi\)
0.956590 0.291438i \(-0.0941336\pi\)
\(488\) 10.1826 3.43092i 0.460945 0.155310i
\(489\) 13.0478 1.41903i 0.590040 0.0641708i
\(490\) −11.6158 5.37404i −0.524748 0.242774i
\(491\) −0.152159 + 2.80641i −0.00686684 + 0.126651i 0.993090 + 0.117356i \(0.0374418\pi\)
−0.999957 + 0.00929582i \(0.997041\pi\)
\(492\) 4.67423 3.55326i 0.210731 0.160193i
\(493\) 24.0226 + 22.7554i 1.08192 + 1.02485i
\(494\) 8.36881 5.03535i 0.376531 0.226551i
\(495\) 0.486760 0.225199i 0.0218782 0.0101220i
\(496\) −2.87969 7.22747i −0.129302 0.324523i
\(497\) −4.78679 + 7.05999i −0.214717 + 0.316684i
\(498\) 1.32875 + 1.95976i 0.0595428 + 0.0878191i
\(499\) −6.85707 + 17.2100i −0.306965 + 0.770423i 0.691863 + 0.722028i \(0.256790\pi\)
−0.998828 + 0.0483952i \(0.984589\pi\)
\(500\) 0.589985 + 10.8816i 0.0263849 + 0.486642i
\(501\) 8.75155 + 10.3031i 0.390990 + 0.460309i
\(502\) −18.8250 22.1625i −0.840199 0.989159i
\(503\) 0.208248 + 3.84091i 0.00928533 + 0.171258i 0.999498 + 0.0316894i \(0.0100887\pi\)
−0.990212 + 0.139568i \(0.955428\pi\)
\(504\) 0.439238 1.10240i 0.0195652 0.0491050i
\(505\) 15.4949 + 22.8533i 0.689514 + 1.01696i
\(506\) 0.0686116 0.101195i 0.00305016 0.00449865i
\(507\) 9.32510 + 23.4042i 0.414142 + 1.03942i
\(508\) −18.7604 + 8.67946i −0.832356 + 0.385089i
\(509\) −20.5858 + 12.3861i −0.912451 + 0.549004i −0.892625 0.450800i \(-0.851139\pi\)
−0.0198260 + 0.999803i \(0.506311\pi\)
\(510\) 13.0297 + 12.3423i 0.576963 + 0.546528i
\(511\) 9.51003 7.22934i 0.420699 0.319807i
\(512\) −0.0541389 + 0.998533i −0.00239262 + 0.0441294i
\(513\) 1.43431 + 0.663582i 0.0633263 + 0.0292979i
\(514\) −1.13083 + 0.122985i −0.0498786 + 0.00542462i
\(515\) −34.4751 + 11.6160i −1.51915 + 0.511863i
\(516\) 1.14487 6.98342i 0.0504002 0.307428i
\(517\) 0.515596 0.488399i 0.0226759 0.0214797i
\(518\) 0.841948 3.03242i 0.0369931 0.133237i
\(519\) 2.09892 3.95897i 0.0921322 0.173780i
\(520\) 13.4048 + 4.51661i 0.587840 + 0.198066i
\(521\) 22.0784 + 4.85983i 0.967274 + 0.212913i 0.670397 0.742003i \(-0.266124\pi\)
0.296877 + 0.954916i \(0.404055\pi\)
\(522\) 1.12895 + 4.06610i 0.0494127 + 0.177968i
\(523\) −14.3512 8.63485i −0.627536 0.377576i 0.165977 0.986130i \(-0.446922\pi\)
−0.793513 + 0.608554i \(0.791750\pi\)
\(524\) 8.38170 + 0.911565i 0.366156 + 0.0398219i
\(525\) −0.276771 + 0.0609220i −0.0120793 + 0.00265885i
\(526\) −8.88552 16.7599i −0.387427 0.730765i
\(527\) −9.86948 60.2011i −0.429921 2.62240i
\(528\) 0.186543 + 0.141807i 0.00811825 + 0.00617134i
\(529\) −14.7136 + 17.3222i −0.639724 + 0.753141i
\(530\) −23.6529 −1.02742
\(531\) −1.61591 + 7.50925i −0.0701244 + 0.325874i
\(532\) −1.87541 −0.0813093
\(533\) 23.4912 27.6560i 1.01752 1.19791i
\(534\) −0.185984 0.141382i −0.00804833 0.00611818i
\(535\) −1.81905 11.0957i −0.0786445 0.479711i
\(536\) 2.79072 + 5.26385i 0.120541 + 0.227364i
\(537\) −8.42041 + 1.85347i −0.363367 + 0.0799832i
\(538\) −11.6145 1.26316i −0.500739 0.0544586i
\(539\) −1.12273 0.675522i −0.0483592 0.0290968i
\(540\) 0.612331 + 2.20542i 0.0263505 + 0.0949060i
\(541\) 30.7092 + 6.75960i 1.32029 + 0.290618i 0.818568 0.574410i \(-0.194768\pi\)
0.501724 + 0.865028i \(0.332699\pi\)
\(542\) −3.32947 1.12183i −0.143013 0.0481867i
\(543\) 3.35165 6.32188i 0.143833 0.271298i
\(544\) −2.09774 + 7.55539i −0.0899400 + 0.323935i
\(545\) −8.93681 + 8.46540i −0.382811 + 0.362618i
\(546\) 1.18648 7.23722i 0.0507768 0.309725i
\(547\) 37.5973 12.6680i 1.60754 0.541645i 0.634631 0.772815i \(-0.281152\pi\)
0.972913 + 0.231170i \(0.0742555\pi\)
\(548\) −20.6345 + 2.24414i −0.881464 + 0.0958649i
\(549\) 9.75197 + 4.51174i 0.416204 + 0.192556i
\(550\) 0.00302959 0.0558776i 0.000129182 0.00238263i
\(551\) 5.30918 4.03594i 0.226179 0.171937i
\(552\) 0.378798 + 0.358817i 0.0161227 + 0.0152723i
\(553\) −2.20365 + 1.32589i −0.0937086 + 0.0563826i
\(554\) −15.2008 + 7.03262i −0.645819 + 0.298788i
\(555\) 2.24678 + 5.63898i 0.0953703 + 0.239361i
\(556\) 9.54722 14.0811i 0.404892 0.597171i
\(557\) 1.48253 + 2.18657i 0.0628170 + 0.0926481i 0.857800 0.513983i \(-0.171831\pi\)
−0.794983 + 0.606632i \(0.792520\pi\)
\(558\) 2.87969 7.22747i 0.121907 0.305963i
\(559\) −2.36773 43.6702i −0.100144 1.84705i
\(560\) −1.75839 2.07014i −0.0743057 0.0874794i
\(561\) 1.18949 + 1.40038i 0.0502204 + 0.0591240i
\(562\) 0.185961 + 3.42984i 0.00784428 + 0.144679i
\(563\) −6.84806 + 17.1873i −0.288611 + 0.724360i 0.711161 + 0.703029i \(0.248170\pi\)
−0.999772 + 0.0213308i \(0.993210\pi\)
\(564\) 1.70086 + 2.50857i 0.0716190 + 0.105630i
\(565\) 20.8113 30.6944i 0.875539 1.29132i
\(566\) −2.39583 6.01309i −0.100704 0.252749i
\(567\) 1.07701 0.498277i 0.0452301 0.0209257i
\(568\) 6.15899 3.70574i 0.258425 0.155489i
\(569\) 7.20771 + 6.82751i 0.302163 + 0.286224i 0.823725 0.566989i \(-0.191892\pi\)
−0.521562 + 0.853213i \(0.674651\pi\)
\(570\) 2.87965 2.18906i 0.120615 0.0916895i
\(571\) −1.18275 + 21.8145i −0.0494964 + 0.912907i 0.863350 + 0.504605i \(0.168362\pi\)
−0.912847 + 0.408302i \(0.866121\pi\)
\(572\) 1.31430 + 0.608059i 0.0549535 + 0.0254242i
\(573\) −7.44304 + 0.809479i −0.310937 + 0.0338165i
\(574\) −6.60286 + 2.22476i −0.275598 + 0.0928597i
\(575\) 0.0201587 0.122963i 0.000840678 0.00512791i
\(576\) −0.725995 + 0.687699i −0.0302498 + 0.0286541i
\(577\) −5.01345 + 18.0568i −0.208713 + 0.751715i 0.782864 + 0.622193i \(0.213758\pi\)
−0.991577 + 0.129522i \(0.958656\pi\)
\(578\) −20.8369 + 39.3025i −0.866699 + 1.63477i
\(579\) 16.1810 + 5.45200i 0.672458 + 0.226577i
\(580\) 9.43292 + 2.07634i 0.391681 + 0.0862154i
\(581\) −0.751696 2.70736i −0.0311856 0.112320i
\(582\) −0.237252 0.142750i −0.00983440 0.00591716i
\(583\) −2.40730 0.261810i −0.0997004 0.0108431i
\(584\) −9.83124 + 2.16402i −0.406819 + 0.0895477i
\(585\) 6.62577 + 12.4975i 0.273942 + 0.516709i
\(586\) 1.57601 + 9.61325i 0.0651045 + 0.397120i
\(587\) −11.8065 8.97510i −0.487308 0.370442i 0.332479 0.943111i \(-0.392115\pi\)
−0.819787 + 0.572669i \(0.805908\pi\)
\(588\) 3.62004 4.26184i 0.149288 0.175755i
\(589\) −12.2954 −0.506622
\(590\) 13.4529 + 11.3185i 0.553849 + 0.465975i
\(591\) −2.42405 −0.0997122
\(592\) −1.71689 + 2.02128i −0.0705638 + 0.0830741i
\(593\) −20.8843 15.8759i −0.857617 0.651943i 0.0810724 0.996708i \(-0.474165\pi\)
−0.938689 + 0.344765i \(0.887959\pi\)
\(594\) 0.0379093 + 0.231237i 0.00155544 + 0.00948775i
\(595\) −9.97607 18.8169i −0.408979 0.771416i
\(596\) 4.84937 1.06743i 0.198638 0.0437235i
\(597\) −2.26050 0.245844i −0.0925162 0.0100617i
\(598\) 2.76298 + 1.66243i 0.112987 + 0.0679818i
\(599\) 2.04649 + 7.37077i 0.0836171 + 0.301162i 0.993520 0.113660i \(-0.0362576\pi\)
−0.909903 + 0.414822i \(0.863844\pi\)
\(600\) 0.233230 + 0.0513379i 0.00952159 + 0.00209586i
\(601\) −13.4347 4.52666i −0.548011 0.184647i 0.0316574 0.999499i \(-0.489921\pi\)
−0.579669 + 0.814852i \(0.696818\pi\)
\(602\) −3.93358 + 7.41952i −0.160321 + 0.302397i
\(603\) −1.59390 + 5.74071i −0.0649086 + 0.233780i
\(604\) −11.0329 + 10.4509i −0.448924 + 0.425243i
\(605\) −4.05290 + 24.7216i −0.164774 + 1.00508i
\(606\) −11.4318 + 3.85182i −0.464385 + 0.156469i
\(607\) 46.6929 5.07816i 1.89521 0.206116i 0.914911 0.403654i \(-0.132260\pi\)
0.980295 + 0.197538i \(0.0632947\pi\)
\(608\) 1.43431 + 0.663582i 0.0581689 + 0.0269118i
\(609\) 0.271112 5.00037i 0.0109860 0.202625i
\(610\) 19.5790 14.8836i 0.792730 0.602617i
\(611\) 13.5984 + 12.8811i 0.550134 + 0.521114i
\(612\) −6.71879 + 4.04256i −0.271591 + 0.163411i
\(613\) −21.8449 + 10.1065i −0.882309 + 0.408199i −0.808101 0.589043i \(-0.799505\pi\)
−0.0742072 + 0.997243i \(0.523643\pi\)
\(614\) −8.77633 22.0269i −0.354184 0.888934i
\(615\) 7.54172 11.1232i 0.304112 0.448531i
\(616\) −0.156048 0.230154i −0.00628737 0.00927318i
\(617\) −6.90699 + 17.3352i −0.278065 + 0.697890i 0.721918 + 0.691979i \(0.243261\pi\)
−0.999983 + 0.00591114i \(0.998118\pi\)
\(618\) −0.860497 15.8709i −0.0346142 0.638422i
\(619\) −12.8997 15.1867i −0.518483 0.610406i 0.439144 0.898417i \(-0.355282\pi\)
−0.957627 + 0.288011i \(0.907006\pi\)
\(620\) −11.5282 13.5720i −0.462984 0.545067i
\(621\) 0.0282477 + 0.520999i 0.00113354 + 0.0209070i
\(622\) −7.61608 + 19.1149i −0.305377 + 0.766438i
\(623\) 0.155581 + 0.229465i 0.00623321 + 0.00919330i
\(624\) −3.46819 + 5.11520i −0.138839 + 0.204772i
\(625\) 9.67431 + 24.2807i 0.386973 + 0.971228i
\(626\) −17.0687 + 7.89681i −0.682202 + 0.315620i
\(627\) 0.317310 0.190919i 0.0126722 0.00762458i
\(628\) 2.87959 + 2.72769i 0.114908 + 0.108847i
\(629\) −16.5549 + 12.5847i −0.660086 + 0.501784i
\(630\) 0.147049 2.71216i 0.00585857 0.108055i
\(631\) −40.2279 18.6114i −1.60145 0.740909i −0.603062 0.797695i \(-0.706053\pi\)
−0.998386 + 0.0567858i \(0.981915\pi\)
\(632\) 2.15449 0.234315i 0.0857009 0.00932054i
\(633\) 1.83291 0.617580i 0.0728517 0.0245466i
\(634\) −0.318630 + 1.94356i −0.0126544 + 0.0771885i
\(635\) −34.3486 + 32.5367i −1.36308 + 1.29118i
\(636\) 2.76464 9.95733i 0.109625 0.394834i
\(637\) 16.1871 30.5321i 0.641357 1.20973i
\(638\) 0.937063 + 0.315733i 0.0370987 + 0.0125000i
\(639\) 7.01983 + 1.54518i 0.277700 + 0.0611265i
\(640\) 0.612331 + 2.20542i 0.0242045 + 0.0871768i
\(641\) −8.35126 5.02478i −0.329855 0.198467i 0.340986 0.940068i \(-0.389239\pi\)
−0.670841 + 0.741601i \(0.734067\pi\)
\(642\) 4.88366 + 0.531130i 0.192743 + 0.0209620i
\(643\) 8.94376 1.96867i 0.352707 0.0776368i −0.0350828 0.999384i \(-0.511170\pi\)
0.387790 + 0.921748i \(0.373238\pi\)
\(644\) −0.290025 0.547045i −0.0114286 0.0215566i
\(645\) −2.62044 15.9840i −0.103180 0.629368i
\(646\) 9.86521 + 7.49934i 0.388142 + 0.295058i
\(647\) 21.5783 25.4039i 0.848331 0.998732i −0.151616 0.988439i \(-0.548448\pi\)
0.999947 0.0102926i \(-0.00327631\pi\)
\(648\) −1.00000 −0.0392837
\(649\) 1.24391 + 1.30086i 0.0488276 + 0.0510633i
\(650\) 1.47589 0.0578892
\(651\) −5.97697 + 7.03663i −0.234256 + 0.275787i
\(652\) 10.4485 + 7.94273i 0.409194 + 0.311061i
\(653\) −4.98521 30.4085i −0.195086 1.18997i −0.884828 0.465919i \(-0.845724\pi\)
0.689741 0.724056i \(-0.257724\pi\)
\(654\) −2.51917 4.75165i −0.0985072 0.185804i
\(655\) 18.8464 4.14840i 0.736389 0.162091i
\(656\) 5.83705 + 0.634817i 0.227898 + 0.0247854i
\(657\) −8.62563 5.18987i −0.336518 0.202476i
\(658\) −0.962201 3.46553i −0.0375105 0.135101i
\(659\) −1.11304 0.244999i −0.0433580 0.00954382i 0.193238 0.981152i \(-0.438101\pi\)
−0.236596 + 0.971608i \(0.576032\pi\)
\(660\) 0.508255 + 0.171251i 0.0197838 + 0.00666594i
\(661\) 12.2123 23.0348i 0.475002 0.895949i −0.524019 0.851707i \(-0.675568\pi\)
0.999021 0.0442423i \(-0.0140874\pi\)
\(662\) −7.61106 + 27.4125i −0.295812 + 1.06542i
\(663\) −35.1813 + 33.3255i −1.36633 + 1.29425i
\(664\) −0.383060 + 2.33656i −0.0148656 + 0.0906762i
\(665\) −4.06782 + 1.37061i −0.157743 + 0.0531499i
\(666\) −2.63649 + 0.286735i −0.102162 + 0.0111108i
\(667\) 1.99830 + 0.924512i 0.0773745 + 0.0357973i
\(668\) −0.731865 + 13.4985i −0.0283167 + 0.522271i
\(669\) 7.34211 5.58132i 0.283862 0.215786i
\(670\) 9.90014 + 9.37792i 0.382476 + 0.362300i
\(671\) 2.15742 1.29807i 0.0832861 0.0501116i
\(672\) 1.07701 0.498277i 0.0415465 0.0192214i
\(673\) 5.43377 + 13.6377i 0.209457 + 0.525696i 0.995744 0.0921649i \(-0.0293787\pi\)
−0.786287 + 0.617861i \(0.787999\pi\)
\(674\) 16.0047 23.6051i 0.616477 0.909236i
\(675\) 0.134019 + 0.197663i 0.00515840 + 0.00760807i
\(676\) −9.32510 + 23.4042i −0.358658 + 0.900163i
\(677\) −1.76594 32.5708i −0.0678705 1.25180i −0.811958 0.583715i \(-0.801598\pi\)
0.744088 0.668082i \(-0.232884\pi\)
\(678\) 10.4891 + 12.3488i 0.402832 + 0.474251i
\(679\) 0.212716 + 0.250429i 0.00816329 + 0.00961057i
\(680\) 0.971647 + 17.9210i 0.0372610 + 0.687238i
\(681\) 8.25016 20.7063i 0.316147 0.793469i
\(682\) −1.02307 1.50891i −0.0391753 0.0577793i
\(683\) 20.2229 29.8266i 0.773809 1.14128i −0.212627 0.977134i \(-0.568202\pi\)
0.986436 0.164149i \(-0.0524879\pi\)
\(684\) 0.584957 + 1.46813i 0.0223664 + 0.0561354i
\(685\) −43.1169 + 19.9480i −1.64741 + 0.762173i
\(686\) −12.8036 + 7.70366i −0.488843 + 0.294127i
\(687\) −3.63706 3.44521i −0.138763 0.131443i
\(688\) 5.63367 4.28260i 0.214781 0.163273i
\(689\) 3.45759 63.7715i 0.131724 2.42950i
\(690\) 1.08386 + 0.501447i 0.0412619 + 0.0190898i
\(691\) −31.9922 + 3.47936i −1.21704 + 0.132361i −0.694017 0.719958i \(-0.744161\pi\)
−0.523022 + 0.852319i \(0.675195\pi\)
\(692\) 4.24639 1.43077i 0.161423 0.0543899i
\(693\) 0.0449865 0.274405i 0.00170889 0.0104238i
\(694\) 25.6165 24.2653i 0.972390 0.921097i
\(695\) 10.4173 37.5198i 0.395151 1.42321i
\(696\) −1.97664 + 3.72835i −0.0749245 + 0.141323i
\(697\) 43.6293 + 14.7004i 1.65258 + 0.556818i
\(698\) 30.7273 + 6.76360i 1.16305 + 0.256006i
\(699\) −4.58930 16.5292i −0.173583 0.625190i
\(700\) −0.242831 0.146106i −0.00917814 0.00552230i
\(701\) 23.5958 + 2.56620i 0.891202 + 0.0969240i 0.542251 0.840217i \(-0.317572\pi\)
0.348951 + 0.937141i \(0.386538\pi\)
\(702\) −6.03561 + 1.32854i −0.227799 + 0.0501424i
\(703\) 1.96320 + 3.70298i 0.0740434 + 0.139661i
\(704\) 0.0379093 + 0.231237i 0.00142876 + 0.00871506i
\(705\) 5.52256 + 4.19814i 0.207992 + 0.158111i
\(706\) 2.16468 2.54846i 0.0814688 0.0959125i
\(707\) 14.3153 0.538383
\(708\) −6.33725 + 4.34042i −0.238168 + 0.163123i
\(709\) 25.9647 0.975126 0.487563 0.873088i \(-0.337886\pi\)
0.487563 + 0.873088i \(0.337886\pi\)
\(710\) 10.6508 12.5391i 0.399716 0.470582i
\(711\) 1.72529 + 1.31153i 0.0647033 + 0.0491862i
\(712\) −0.0377957 0.230544i −0.00141645 0.00863999i
\(713\) −1.90143 3.58648i −0.0712091 0.134315i
\(714\) 9.08750 2.00031i 0.340091 0.0748597i
\(715\) 3.29514 + 0.358368i 0.123231 + 0.0134022i
\(716\) −7.38781 4.44510i −0.276095 0.166121i
\(717\) 4.93138 + 17.7612i 0.184166 + 0.663306i
\(718\) −21.2532 4.67818i −0.793162 0.174588i
\(719\) −35.4537 11.9458i −1.32220 0.445502i −0.432331 0.901715i \(-0.642309\pi\)
−0.889870 + 0.456213i \(0.849205\pi\)
\(720\) −1.07211 + 2.02222i −0.0399553 + 0.0753638i
\(721\) −5.04598 + 18.1740i −0.187922 + 0.676834i
\(722\) −11.9807 + 11.3487i −0.445875 + 0.422355i
\(723\) −0.518223 + 3.16102i −0.0192729 + 0.117560i
\(724\) 6.78084 2.28473i 0.252008 0.0849113i
\(725\) 1.00187 0.108959i 0.0372084 0.00404665i
\(726\) −9.93350 4.59573i −0.368667 0.170563i
\(727\) 2.91379 53.7416i 0.108066 1.99317i −0.00834030 0.999965i \(-0.502655\pi\)
0.116407 0.993202i \(-0.462862\pi\)
\(728\) 5.83842 4.43825i 0.216386 0.164492i
\(729\) −0.725995 0.687699i −0.0268887 0.0254704i
\(730\) −19.7427 + 11.8788i −0.730711 + 0.439654i
\(731\) 50.3608 23.2994i 1.86266 0.861758i
\(732\) 3.97716 + 9.98193i 0.147000 + 0.368943i
\(733\) 1.35862 2.00382i 0.0501819 0.0740127i −0.801770 0.597632i \(-0.796108\pi\)
0.851952 + 0.523620i \(0.175419\pi\)
\(734\) 5.09419 + 7.51337i 0.188030 + 0.277323i
\(735\) 4.73729 11.8897i 0.174738 0.438558i
\(736\) 0.0282477 + 0.520999i 0.00104123 + 0.0192043i
\(737\) 0.903796 + 1.06403i 0.0332918 + 0.0391941i
\(738\) 3.80111 + 4.47501i 0.139921 + 0.164727i
\(739\) −0.811517 14.9675i −0.0298521 0.550590i −0.974760 0.223254i \(-0.928332\pi\)
0.944908 0.327336i \(-0.106151\pi\)
\(740\) −2.24678 + 5.63898i −0.0825931 + 0.207293i
\(741\) 5.48104 + 8.08393i 0.201351 + 0.296970i
\(742\) −6.88196 + 10.1501i −0.252645 + 0.372623i
\(743\) 8.89030 + 22.3130i 0.326153 + 0.818583i 0.997030 + 0.0770144i \(0.0245387\pi\)
−0.670877 + 0.741569i \(0.734082\pi\)
\(744\) 7.06097 3.26675i 0.258868 0.119765i
\(745\) 9.73833 5.85936i 0.356785 0.214670i
\(746\) −12.6363 11.9698i −0.462649 0.438244i
\(747\) −1.88495 + 1.43290i −0.0689668 + 0.0524272i
\(748\) −0.0994736 + 1.83468i −0.00363711 + 0.0670826i
\(749\) −5.29075 2.44776i −0.193320 0.0894393i
\(750\) −10.8337 + 1.17824i −0.395592 + 0.0430232i
\(751\) −44.6981 + 15.0605i −1.63106 + 0.549567i −0.978155 0.207875i \(-0.933345\pi\)
−0.652902 + 0.757442i \(0.726449\pi\)
\(752\) −0.490332 + 2.99089i −0.0178806 + 0.109067i
\(753\) 21.1108 19.9972i 0.769320 0.728739i
\(754\) −6.97700 + 25.1289i −0.254087 + 0.915140i
\(755\) −16.2929 + 30.7317i −0.592959 + 1.11844i
\(756\) 1.12457 + 0.378911i 0.0409001 + 0.0137809i
\(757\) 33.7640 + 7.43201i 1.22717 + 0.270121i 0.780831 0.624742i \(-0.214796\pi\)
0.446341 + 0.894863i \(0.352727\pi\)
\(758\) 10.1663 + 36.6158i 0.369258 + 1.32995i
\(759\) 0.104761 + 0.0630324i 0.00380257 + 0.00228793i
\(760\)