Properties

Label 354.2.e.b.25.1
Level 354
Weight 2
Character 354.25
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 25.1
Character \(\chi\) = 354.25
Dual form 354.2.e.b.85.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.796093 - 0.605174i) q^{2} +(-0.468408 - 0.883512i) q^{3} +(0.267528 + 0.963550i) q^{4} +(-1.39125 - 1.31786i) q^{5} +(-0.161782 + 0.986827i) q^{6} +(1.52711 - 1.79785i) q^{7} +(0.370138 - 0.928977i) q^{8} +(-0.561187 + 0.827689i) q^{9} +O(q^{10})\) \(q+(-0.796093 - 0.605174i) q^{2} +(-0.468408 - 0.883512i) q^{3} +(0.267528 + 0.963550i) q^{4} +(-1.39125 - 1.31786i) q^{5} +(-0.161782 + 0.986827i) q^{6} +(1.52711 - 1.79785i) q^{7} +(0.370138 - 0.928977i) q^{8} +(-0.561187 + 0.827689i) q^{9} +(0.310029 + 1.89109i) q^{10} +(-2.11501 - 1.27256i) q^{11} +(0.725995 - 0.687699i) q^{12} +(0.133824 + 0.197375i) q^{13} +(-2.30374 + 0.507091i) q^{14} +(-0.512674 + 1.84649i) q^{15} +(-0.856857 + 0.515554i) q^{16} +(-0.891081 - 1.04906i) q^{17} +(0.947653 - 0.319302i) q^{18} +(-3.44304 + 1.59292i) q^{19} +(0.897628 - 1.69311i) q^{20} +(-2.30374 - 0.507091i) q^{21} +(0.913624 + 2.29302i) q^{22} +(-5.80152 - 1.95476i) q^{23} +(-0.994138 + 0.108119i) q^{24} +(-0.0718779 - 1.32571i) q^{25} +(0.0129103 - 0.238116i) q^{26} +(0.994138 + 0.108119i) q^{27} +(2.14087 + 0.990471i) q^{28} +(-3.70371 + 2.81549i) q^{29} +(1.52558 - 1.15972i) q^{30} +(-1.25482 - 0.580542i) q^{31} +(0.994138 + 0.108119i) q^{32} +(-0.133633 + 2.46471i) q^{33} +(0.0745183 + 1.37441i) q^{34} +(-4.49392 + 0.488743i) q^{35} +(-0.947653 - 0.319302i) q^{36} +(-0.0444409 - 0.111538i) q^{37} +(3.70497 + 0.815526i) q^{38} +(0.111699 - 0.210687i) q^{39} +(-1.73922 + 0.804649i) q^{40} +(-0.681705 + 0.229693i) q^{41} +(1.52711 + 1.79785i) q^{42} +(0.00778095 - 0.00468164i) q^{43} +(0.660349 - 2.37836i) q^{44} +(1.87153 - 0.411956i) q^{45} +(3.43558 + 5.06710i) q^{46} +(6.61093 - 6.26221i) q^{47} +(0.856857 + 0.515554i) q^{48} +(0.232262 + 1.41674i) q^{49} +(-0.745064 + 1.09889i) q^{50} +(-0.509469 + 1.27867i) q^{51} +(-0.154379 + 0.181750i) q^{52} +(-0.243356 + 1.48441i) q^{53} +(-0.725995 - 0.687699i) q^{54} +(1.26545 + 4.55774i) q^{55} +(-1.10492 - 2.08411i) q^{56} +(3.02011 + 2.29583i) q^{57} +4.65235 q^{58} +(-1.40286 - 7.55195i) q^{59} -1.91634 q^{60} +(-3.50593 - 2.66514i) q^{61} +(0.647625 + 1.22155i) q^{62} +(0.631069 + 2.27291i) q^{63} +(-0.725995 - 0.687699i) q^{64} +(0.0739312 - 0.450960i) q^{65} +(1.59796 - 1.88127i) q^{66} +(0.720240 - 1.80767i) q^{67} +(0.772434 - 1.13925i) q^{68} +(0.990428 + 6.04134i) q^{69} +(3.87335 + 2.33052i) q^{70} +(7.79009 - 7.37916i) q^{71} +(0.561187 + 0.827689i) q^{72} +(2.51388 - 0.553346i) q^{73} +(-0.0321210 + 0.115689i) q^{74} +(-1.13761 + 0.684479i) q^{75} +(-2.45597 - 2.89139i) q^{76} +(-5.51773 + 1.85914i) q^{77} +(-0.216426 + 0.100129i) q^{78} +(7.51128 - 14.1678i) q^{79} +(1.87153 + 0.411956i) q^{80} +(-0.370138 - 0.928977i) q^{81} +(0.681705 + 0.229693i) q^{82} +(13.4976 - 1.46796i) q^{83} +(-0.127708 - 2.35543i) q^{84} +(-0.142802 + 2.63383i) q^{85} +(-0.00902757 - 0.000981808i) q^{86} +(4.22236 + 1.95347i) q^{87} +(-1.96502 + 1.49377i) q^{88} +(0.118176 - 0.0898349i) q^{89} +(-1.73922 - 0.804649i) q^{90} +(0.559216 + 0.0608184i) q^{91} +(0.331438 - 6.11301i) q^{92} +(0.0748529 + 1.38058i) q^{93} +(-9.05264 + 0.984534i) q^{94} +(6.88938 + 2.32130i) q^{95} +(-0.370138 - 0.928977i) q^{96} +(10.8674 + 2.39211i) q^{97} +(0.672471 - 1.26841i) q^{98} +(2.24020 - 1.03643i) 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 \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{6}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.796093 0.605174i −0.562923 0.427923i
\(3\) −0.468408 0.883512i −0.270436 0.510096i
\(4\) 0.267528 + 0.963550i 0.133764 + 0.481775i
\(5\) −1.39125 1.31786i −0.622186 0.589366i 0.310270 0.950648i \(-0.399581\pi\)
−0.932457 + 0.361282i \(0.882339\pi\)
\(6\) −0.161782 + 0.986827i −0.0660472 + 0.402870i
\(7\) 1.52711 1.79785i 0.577194 0.679525i −0.393644 0.919263i \(-0.628786\pi\)
0.970838 + 0.239738i \(0.0770615\pi\)
\(8\) 0.370138 0.928977i 0.130864 0.328443i
\(9\) −0.561187 + 0.827689i −0.187062 + 0.275896i
\(10\) 0.310029 + 1.89109i 0.0980397 + 0.598016i
\(11\) −2.11501 1.27256i −0.637699 0.383691i 0.159681 0.987169i \(-0.448954\pi\)
−0.797380 + 0.603478i \(0.793781\pi\)
\(12\) 0.725995 0.687699i 0.209577 0.198522i
\(13\) 0.133824 + 0.197375i 0.0371161 + 0.0547421i 0.845794 0.533509i \(-0.179127\pi\)
−0.808678 + 0.588251i \(0.799817\pi\)
\(14\) −2.30374 + 0.507091i −0.615700 + 0.135526i
\(15\) −0.512674 + 1.84649i −0.132372 + 0.476760i
\(16\) −0.856857 + 0.515554i −0.214214 + 0.128888i
\(17\) −0.891081 1.04906i −0.216119 0.254435i 0.643410 0.765522i \(-0.277519\pi\)
−0.859529 + 0.511087i \(0.829243\pi\)
\(18\) 0.947653 0.319302i 0.223364 0.0752601i
\(19\) −3.44304 + 1.59292i −0.789887 + 0.365441i −0.772991 0.634416i \(-0.781240\pi\)
−0.0168959 + 0.999857i \(0.505378\pi\)
\(20\) 0.897628 1.69311i 0.200716 0.378590i
\(21\) −2.30374 0.507091i −0.502717 0.110656i
\(22\) 0.913624 + 2.29302i 0.194785 + 0.488874i
\(23\) −5.80152 1.95476i −1.20970 0.407596i −0.359046 0.933320i \(-0.616898\pi\)
−0.850655 + 0.525724i \(0.823794\pi\)
\(24\) −0.994138 + 0.108119i −0.202928 + 0.0220697i
\(25\) −0.0718779 1.32571i −0.0143756 0.265142i
\(26\) 0.0129103 0.238116i 0.00253191 0.0466984i
\(27\) 0.994138 + 0.108119i 0.191322 + 0.0208075i
\(28\) 2.14087 + 0.990471i 0.404586 + 0.187181i
\(29\) −3.70371 + 2.81549i −0.687761 + 0.522822i −0.889683 0.456579i \(-0.849074\pi\)
0.201922 + 0.979402i \(0.435281\pi\)
\(30\) 1.52558 1.15972i 0.278532 0.211734i
\(31\) −1.25482 0.580542i −0.225373 0.104268i 0.303954 0.952687i \(-0.401693\pi\)
−0.529326 + 0.848418i \(0.677555\pi\)
\(32\) 0.994138 + 0.108119i 0.175740 + 0.0191129i
\(33\) −0.133633 + 2.46471i −0.0232625 + 0.429051i
\(34\) 0.0745183 + 1.37441i 0.0127798 + 0.235709i
\(35\) −4.49392 + 0.488743i −0.759611 + 0.0826127i
\(36\) −0.947653 0.319302i −0.157942 0.0532169i
\(37\) −0.0444409 0.111538i −0.00730604 0.0183368i 0.925278 0.379289i \(-0.123831\pi\)
−0.932584 + 0.360952i \(0.882452\pi\)
\(38\) 3.70497 + 0.815526i 0.601026 + 0.132296i
\(39\) 0.111699 0.210687i 0.0178862 0.0337370i
\(40\) −1.73922 + 0.804649i −0.274995 + 0.127226i
\(41\) −0.681705 + 0.229693i −0.106464 + 0.0358720i −0.372030 0.928221i \(-0.621338\pi\)
0.265565 + 0.964093i \(0.414441\pi\)
\(42\) 1.52711 + 1.79785i 0.235638 + 0.277415i
\(43\) 0.00778095 0.00468164i 0.00118658 0.000713944i −0.514960 0.857214i \(-0.672193\pi\)
0.516147 + 0.856500i \(0.327366\pi\)
\(44\) 0.660349 2.37836i 0.0995513 0.358551i
\(45\) 1.87153 0.411956i 0.278992 0.0614107i
\(46\) 3.43558 + 5.06710i 0.506549 + 0.747104i
\(47\) 6.61093 6.26221i 0.964303 0.913437i −0.0319872 0.999488i \(-0.510184\pi\)
0.996291 + 0.0860515i \(0.0274250\pi\)
\(48\) 0.856857 + 0.515554i 0.123677 + 0.0744138i
\(49\) 0.232262 + 1.41674i 0.0331803 + 0.202391i
\(50\) −0.745064 + 1.09889i −0.105368 + 0.155406i
\(51\) −0.509469 + 1.27867i −0.0713399 + 0.179050i
\(52\) −0.154379 + 0.181750i −0.0214086 + 0.0252041i
\(53\) −0.243356 + 1.48441i −0.0334275 + 0.203899i −0.998260 0.0589669i \(-0.981219\pi\)
0.964832 + 0.262866i \(0.0846676\pi\)
\(54\) −0.725995 0.687699i −0.0987955 0.0935840i
\(55\) 1.26545 + 4.55774i 0.170633 + 0.614565i
\(56\) −1.10492 2.08411i −0.147652 0.278500i
\(57\) 3.02011 + 2.29583i 0.400024 + 0.304090i
\(58\) 4.65235 0.610884
\(59\) −1.40286 7.55195i −0.182637 0.983180i
\(60\) −1.91634 −0.247398
\(61\) −3.50593 2.66514i −0.448889 0.341236i 0.356181 0.934417i \(-0.384079\pi\)
−0.805069 + 0.593181i \(0.797872\pi\)
\(62\) 0.647625 + 1.22155i 0.0822485 + 0.155137i
\(63\) 0.631069 + 2.27291i 0.0795072 + 0.286359i
\(64\) −0.725995 0.687699i −0.0907494 0.0859624i
\(65\) 0.0739312 0.450960i 0.00917004 0.0559347i
\(66\) 1.59796 1.88127i 0.196696 0.231568i
\(67\) 0.720240 1.80767i 0.0879913 0.220842i −0.878395 0.477935i \(-0.841385\pi\)
0.966387 + 0.257093i \(0.0827648\pi\)
\(68\) 0.772434 1.13925i 0.0936713 0.138155i
\(69\) 0.990428 + 6.04134i 0.119233 + 0.727292i
\(70\) 3.87335 + 2.33052i 0.462954 + 0.278550i
\(71\) 7.79009 7.37916i 0.924513 0.875746i −0.0680243 0.997684i \(-0.521670\pi\)
0.992538 + 0.121938i \(0.0389109\pi\)
\(72\) 0.561187 + 0.827689i 0.0661365 + 0.0975441i
\(73\) 2.51388 0.553346i 0.294227 0.0647642i −0.0654040 0.997859i \(-0.520834\pi\)
0.359631 + 0.933095i \(0.382903\pi\)
\(74\) −0.0321210 + 0.115689i −0.00373399 + 0.0134486i
\(75\) −1.13761 + 0.684479i −0.131360 + 0.0790368i
\(76\) −2.45597 2.89139i −0.281719 0.331665i
\(77\) −5.51773 + 1.85914i −0.628803 + 0.211868i
\(78\) −0.216426 + 0.100129i −0.0245054 + 0.0113374i
\(79\) 7.51128 14.1678i 0.845085 1.59400i 0.0412497 0.999149i \(-0.486866\pi\)
0.803836 0.594851i \(-0.202789\pi\)
\(80\) 1.87153 + 0.411956i 0.209244 + 0.0460580i
\(81\) −0.370138 0.928977i −0.0411265 0.103220i
\(82\) 0.681705 + 0.229693i 0.0752817 + 0.0253653i
\(83\) 13.4976 1.46796i 1.48156 0.161129i 0.668674 0.743556i \(-0.266862\pi\)
0.812883 + 0.582426i \(0.197897\pi\)
\(84\) −0.127708 2.35543i −0.0139340 0.256998i
\(85\) −0.142802 + 2.63383i −0.0154891 + 0.285679i
\(86\) −0.00902757 0.000981808i −0.000973468 0.000105871i
\(87\) 4.22236 + 1.95347i 0.452685 + 0.209434i
\(88\) −1.96502 + 1.49377i −0.209472 + 0.159236i
\(89\) 0.118176 0.0898349i 0.0125266 0.00952248i −0.598892 0.800830i \(-0.704392\pi\)
0.611419 + 0.791307i \(0.290599\pi\)
\(90\) −1.73922 0.804649i −0.183330 0.0848174i
\(91\) 0.559216 + 0.0608184i 0.0586218 + 0.00637550i
\(92\) 0.331438 6.11301i 0.0345548 0.637325i
\(93\) 0.0748529 + 1.38058i 0.00776188 + 0.143160i
\(94\) −9.05264 + 0.984534i −0.933709 + 0.101547i
\(95\) 6.88938 + 2.32130i 0.706836 + 0.238161i
\(96\) −0.370138 0.928977i −0.0377771 0.0948133i
\(97\) 10.8674 + 2.39211i 1.10342 + 0.242882i 0.729093 0.684414i \(-0.239942\pi\)
0.374329 + 0.927296i \(0.377873\pi\)
\(98\) 0.672471 1.26841i 0.0679298 0.128129i
\(99\) 2.24020 1.03643i 0.225148 0.104165i
\(100\) 1.25816 0.423923i 0.125816 0.0423923i
\(101\) 3.11235 + 3.66415i 0.309691 + 0.364596i 0.894885 0.446297i \(-0.147258\pi\)
−0.585194 + 0.810893i \(0.698982\pi\)
\(102\) 1.17940 0.709623i 0.116778 0.0702631i
\(103\) 0.759082 2.73396i 0.0747945 0.269386i −0.916692 0.399594i \(-0.869151\pi\)
0.991487 + 0.130209i \(0.0415648\pi\)
\(104\) 0.232890 0.0512631i 0.0228368 0.00502676i
\(105\) 2.53680 + 3.74150i 0.247566 + 0.365133i
\(106\) 1.09206 1.03445i 0.106070 0.100475i
\(107\) −3.31086 1.99208i −0.320072 0.192581i 0.346446 0.938070i \(-0.387389\pi\)
−0.666518 + 0.745489i \(0.732216\pi\)
\(108\) 0.161782 + 0.986827i 0.0155675 + 0.0949574i
\(109\) −1.78744 + 2.63628i −0.171206 + 0.252510i −0.903606 0.428365i \(-0.859090\pi\)
0.732400 + 0.680875i \(0.238400\pi\)
\(110\) 1.75081 4.39420i 0.166933 0.418971i
\(111\) −0.0777289 + 0.0915095i −0.00737770 + 0.00868570i
\(112\) −0.381626 + 2.32781i −0.0360602 + 0.219958i
\(113\) 10.4120 + 9.86272i 0.979474 + 0.927807i 0.997402 0.0720323i \(-0.0229485\pi\)
−0.0179284 + 0.999839i \(0.505707\pi\)
\(114\) −1.01491 3.65539i −0.0950554 0.342358i
\(115\) 5.49527 + 10.3652i 0.512436 + 0.966558i
\(116\) −3.70371 2.81549i −0.343881 0.261411i
\(117\) −0.238466 −0.0220462
\(118\) −3.45344 + 6.86103i −0.317915 + 0.631609i
\(119\) −3.24684 −0.297637
\(120\) 1.52558 + 1.15972i 0.139266 + 0.105867i
\(121\) −2.29864 4.33569i −0.208967 0.394154i
\(122\) 1.17817 + 4.24340i 0.106667 + 0.384179i
\(123\) 0.522253 + 0.494704i 0.0470899 + 0.0446060i
\(124\) 0.223681 1.36439i 0.0200872 0.122526i
\(125\) −7.85015 + 9.24191i −0.702139 + 0.826622i
\(126\) 0.873114 2.19135i 0.0777832 0.195221i
\(127\) 7.29223 10.7552i 0.647081 0.954373i −0.352745 0.935719i \(-0.614752\pi\)
0.999826 0.0186534i \(-0.00593791\pi\)
\(128\) 0.161782 + 0.986827i 0.0142996 + 0.0872240i
\(129\) −0.00778095 0.00468164i −0.000685075 0.000412196i
\(130\) −0.331766 + 0.314265i −0.0290978 + 0.0275629i
\(131\) −4.17888 6.16339i −0.365111 0.538498i 0.600116 0.799913i \(-0.295121\pi\)
−0.965226 + 0.261415i \(0.915811\pi\)
\(132\) −2.41062 + 0.530618i −0.209818 + 0.0461844i
\(133\) −2.39407 + 8.62265i −0.207592 + 0.747679i
\(134\) −1.66733 + 1.00320i −0.144035 + 0.0866633i
\(135\) −1.24061 1.46056i −0.106775 0.125705i
\(136\) −1.30438 + 0.439496i −0.111849 + 0.0376864i
\(137\) −15.4114 + 7.13008i −1.31669 + 0.609164i −0.947370 0.320140i \(-0.896270\pi\)
−0.369316 + 0.929304i \(0.620408\pi\)
\(138\) 2.86759 5.40885i 0.244106 0.460432i
\(139\) −21.7598 4.78969i −1.84564 0.406256i −0.852454 0.522803i \(-0.824886\pi\)
−0.993185 + 0.116547i \(0.962817\pi\)
\(140\) −1.67318 4.19937i −0.141410 0.354911i
\(141\) −8.62935 2.90757i −0.726722 0.244861i
\(142\) −10.6673 + 1.16014i −0.895181 + 0.0973568i
\(143\) −0.0318668 0.587749i −0.00266484 0.0491501i
\(144\) 0.0541389 0.998533i 0.00451158 0.0832111i
\(145\) 8.86321 + 0.963932i 0.736050 + 0.0800502i
\(146\) −2.33615 1.08082i −0.193341 0.0894491i
\(147\) 1.14291 0.868819i 0.0942657 0.0716589i
\(148\) 0.0955834 0.0726606i 0.00785691 0.00597267i
\(149\) 0.634129 + 0.293379i 0.0519499 + 0.0240346i 0.445692 0.895186i \(-0.352958\pi\)
−0.393742 + 0.919221i \(0.628820\pi\)
\(150\) 1.31987 + 0.143545i 0.107767 + 0.0117204i
\(151\) 0.398300 7.34620i 0.0324132 0.597825i −0.936537 0.350569i \(-0.885988\pi\)
0.968950 0.247256i \(-0.0795290\pi\)
\(152\) 0.205385 + 3.78810i 0.0166589 + 0.307256i
\(153\) 1.36836 0.148818i 0.110625 0.0120312i
\(154\) 5.51773 + 1.85914i 0.444631 + 0.149814i
\(155\) 0.980696 + 2.46136i 0.0787714 + 0.197701i
\(156\) 0.232890 + 0.0512631i 0.0186462 + 0.00410433i
\(157\) 5.87814 11.0874i 0.469127 0.884867i −0.530189 0.847880i \(-0.677879\pi\)
0.999316 0.0369875i \(-0.0117762\pi\)
\(158\) −14.5537 + 6.73324i −1.15783 + 0.535668i
\(159\) 1.42548 0.480300i 0.113048 0.0380903i
\(160\) −1.24061 1.46056i −0.0980788 0.115467i
\(161\) −12.3739 + 7.44516i −0.975203 + 0.586760i
\(162\) −0.267528 + 0.963550i −0.0210190 + 0.0757036i
\(163\) −21.8658 + 4.81302i −1.71266 + 0.376985i −0.959687 0.281070i \(-0.909311\pi\)
−0.752971 + 0.658054i \(0.771380\pi\)
\(164\) −0.403696 0.595407i −0.0315234 0.0464935i
\(165\) 3.43407 3.25292i 0.267342 0.253240i
\(166\) −11.6337 6.99979i −0.902953 0.543289i
\(167\) 2.57669 + 15.7171i 0.199391 + 1.21623i 0.876885 + 0.480701i \(0.159618\pi\)
−0.677494 + 0.735528i \(0.736934\pi\)
\(168\) −1.32378 + 1.95243i −0.102132 + 0.150633i
\(169\) 4.79075 12.0239i 0.368519 0.924913i
\(170\) 1.70761 2.01035i 0.130968 0.154187i
\(171\) 0.613747 3.74369i 0.0469344 0.286287i
\(172\) 0.00659262 + 0.00624486i 0.000502683 + 0.000476166i
\(173\) 4.69162 + 16.8977i 0.356697 + 1.28471i 0.896548 + 0.442946i \(0.146067\pi\)
−0.539851 + 0.841760i \(0.681520\pi\)
\(174\) −2.17920 4.11041i −0.165205 0.311609i
\(175\) −2.49320 1.89528i −0.188468 0.143270i
\(176\) 2.46833 0.186057
\(177\) −6.01513 + 4.77684i −0.452125 + 0.359049i
\(178\) −0.148445 −0.0111264
\(179\) 2.22598 + 1.69215i 0.166378 + 0.126477i 0.685050 0.728496i \(-0.259780\pi\)
−0.518672 + 0.854973i \(0.673574\pi\)
\(180\) 0.897628 + 1.69311i 0.0669052 + 0.126197i
\(181\) 2.22813 + 8.02499i 0.165616 + 0.596493i 0.999038 + 0.0438566i \(0.0139645\pi\)
−0.833422 + 0.552637i \(0.813622\pi\)
\(182\) −0.408382 0.386840i −0.0302713 0.0286745i
\(183\) −0.712475 + 4.34591i −0.0526677 + 0.321259i
\(184\) −3.96329 + 4.66595i −0.292178 + 0.343978i
\(185\) −0.0851637 + 0.213745i −0.00626136 + 0.0157148i
\(186\) 0.775902 1.14437i 0.0568919 0.0839092i
\(187\) 0.549651 + 3.35272i 0.0401945 + 0.245175i
\(188\) 7.80256 + 4.69465i 0.569060 + 0.342392i
\(189\) 1.71254 1.62221i 0.124569 0.117998i
\(190\) −4.07980 6.01725i −0.295980 0.436537i
\(191\) 7.67596 1.68961i 0.555413 0.122256i 0.0716102 0.997433i \(-0.477186\pi\)
0.483803 + 0.875177i \(0.339255\pi\)
\(192\) −0.267528 + 0.963550i −0.0193072 + 0.0695382i
\(193\) −12.9767 + 7.80781i −0.934082 + 0.562018i −0.899279 0.437376i \(-0.855908\pi\)
−0.0348029 + 0.999394i \(0.511080\pi\)
\(194\) −7.20386 8.48104i −0.517207 0.608903i
\(195\) −0.433059 + 0.145915i −0.0310120 + 0.0104492i
\(196\) −1.30296 + 0.602814i −0.0930686 + 0.0430581i
\(197\) 8.16780 15.4061i 0.581931 1.09764i −0.401415 0.915896i \(-0.631481\pi\)
0.983346 0.181743i \(-0.0581738\pi\)
\(198\) −2.41062 0.530618i −0.171316 0.0377094i
\(199\) −3.35937 8.43138i −0.238139 0.597685i 0.760527 0.649306i \(-0.224940\pi\)
−0.998667 + 0.0516212i \(0.983561\pi\)
\(200\) −1.25816 0.423923i −0.0889652 0.0299759i
\(201\) −1.93446 + 0.210385i −0.136446 + 0.0148394i
\(202\) −0.260276 4.80052i −0.0183130 0.337763i
\(203\) −0.594141 + 10.9583i −0.0417005 + 0.769121i
\(204\) −1.36836 0.148818i −0.0958043 0.0104193i
\(205\) 1.25113 + 0.578833i 0.0873824 + 0.0404274i
\(206\) −2.25882 + 1.71711i −0.157380 + 0.119637i
\(207\) 4.87367 3.70487i 0.338744 0.257506i
\(208\) −0.216426 0.100129i −0.0150064 0.00694271i
\(209\) 9.30914 + 1.01243i 0.643926 + 0.0700312i
\(210\) 0.244731 4.51379i 0.0168880 0.311481i
\(211\) −1.17135 21.6043i −0.0806390 1.48730i −0.706694 0.707519i \(-0.749814\pi\)
0.626055 0.779779i \(-0.284669\pi\)
\(212\) −1.49540 + 0.162635i −0.102705 + 0.0111698i
\(213\) −10.1685 3.42617i −0.696736 0.234758i
\(214\) 1.43020 + 3.58952i 0.0977662 + 0.245375i
\(215\) −0.0169950 0.00374089i −0.00115905 0.000255126i
\(216\) 0.468408 0.883512i 0.0318712 0.0601154i
\(217\) −2.95998 + 1.36943i −0.200937 + 0.0929632i
\(218\) 3.01838 1.01701i 0.204430 0.0688806i
\(219\) −1.66641 1.96185i −0.112605 0.132569i
\(220\) −4.05307 + 2.43865i −0.273258 + 0.164414i
\(221\) 0.0878111 0.316267i 0.00590681 0.0212744i
\(222\) 0.117259 0.0258106i 0.00786988 0.00173229i
\(223\) 10.6985 + 15.7791i 0.716422 + 1.05664i 0.995349 + 0.0963315i \(0.0307109\pi\)
−0.278927 + 0.960312i \(0.589979\pi\)
\(224\) 1.71254 1.62221i 0.114424 0.108388i
\(225\) 1.13761 + 0.684479i 0.0758408 + 0.0456319i
\(226\) −2.32022 14.1527i −0.154338 0.941423i
\(227\) 7.66080 11.2988i 0.508465 0.749930i −0.483650 0.875261i \(-0.660689\pi\)
0.992115 + 0.125332i \(0.0399996\pi\)
\(228\) −1.40418 + 3.52423i −0.0929942 + 0.233398i
\(229\) 0.172804 0.203441i 0.0114192 0.0134438i −0.756423 0.654083i \(-0.773055\pi\)
0.767842 + 0.640639i \(0.221331\pi\)
\(230\) 1.89799 11.5772i 0.125150 0.763380i
\(231\) 4.22712 + 4.00414i 0.278124 + 0.263453i
\(232\) 1.24464 + 4.48278i 0.0817144 + 0.294309i
\(233\) −5.96045 11.2426i −0.390482 0.736528i 0.607862 0.794042i \(-0.292027\pi\)
−0.998345 + 0.0575146i \(0.981682\pi\)
\(234\) 0.189841 + 0.144313i 0.0124103 + 0.00943405i
\(235\) −17.4502 −1.13833
\(236\) 6.90138 3.37209i 0.449241 0.219504i
\(237\) −16.0358 −1.04163
\(238\) 2.58479 + 1.96490i 0.167547 + 0.127366i
\(239\) 9.01682 + 17.0075i 0.583250 + 1.10013i 0.983018 + 0.183509i \(0.0587457\pi\)
−0.399768 + 0.916616i \(0.630909\pi\)
\(240\) −0.512674 1.84649i −0.0330930 0.119190i
\(241\) −0.755199 0.715362i −0.0486466 0.0460805i 0.662990 0.748628i \(-0.269287\pi\)
−0.711637 + 0.702548i \(0.752046\pi\)
\(242\) −0.793919 + 4.84269i −0.0510351 + 0.311300i
\(243\) −0.647386 + 0.762162i −0.0415298 + 0.0488927i
\(244\) 1.63006 4.09114i 0.104354 0.261908i
\(245\) 1.54393 2.27713i 0.0986382 0.145480i
\(246\) −0.116380 0.709884i −0.00742009 0.0452606i
\(247\) −0.775164 0.466401i −0.0493225 0.0296764i
\(248\) −1.00377 + 0.950819i −0.0637393 + 0.0603771i
\(249\) −7.61936 11.2377i −0.482857 0.712161i
\(250\) 11.8424 2.60671i 0.748980 0.164863i
\(251\) −4.17280 + 15.0291i −0.263385 + 0.948625i 0.707031 + 0.707183i \(0.250034\pi\)
−0.970415 + 0.241442i \(0.922379\pi\)
\(252\) −2.02123 + 1.21613i −0.127325 + 0.0766092i
\(253\) 9.78272 + 11.5171i 0.615034 + 0.724074i
\(254\) −12.3141 + 4.14910i −0.772654 + 0.260338i
\(255\) 2.39391 1.10754i 0.149912 0.0693569i
\(256\) 0.468408 0.883512i 0.0292755 0.0552195i
\(257\) −8.98754 1.97831i −0.560627 0.123403i −0.0743884 0.997229i \(-0.523700\pi\)
−0.486239 + 0.873826i \(0.661632\pi\)
\(258\) 0.00336115 + 0.00843586i 0.000209256 + 0.000525193i
\(259\) −0.268396 0.0904330i −0.0166773 0.00561923i
\(260\) 0.454302 0.0494083i 0.0281746 0.00306417i
\(261\) −0.251873 4.64553i −0.0155906 0.287551i
\(262\) −0.403146 + 7.43558i −0.0249064 + 0.459372i
\(263\) 19.0386 + 2.07057i 1.17397 + 0.127677i 0.674246 0.738507i \(-0.264469\pi\)
0.499725 + 0.866184i \(0.333434\pi\)
\(264\) 2.24020 + 1.03643i 0.137875 + 0.0637876i
\(265\) 2.29481 1.74447i 0.140969 0.107162i
\(266\) 7.12410 5.41560i 0.436807 0.332052i
\(267\) −0.134725 0.0623303i −0.00824502 0.00381455i
\(268\) 1.93446 + 0.210385i 0.118166 + 0.0128513i
\(269\) −0.576576 + 10.6343i −0.0351545 + 0.648386i 0.926863 + 0.375399i \(0.122494\pi\)
−0.962018 + 0.272987i \(0.911988\pi\)
\(270\) 0.103748 + 1.91353i 0.00631392 + 0.116453i
\(271\) −2.92975 + 0.318630i −0.177970 + 0.0193554i −0.196670 0.980470i \(-0.563013\pi\)
0.0187002 + 0.999825i \(0.494047\pi\)
\(272\) 1.30438 + 0.439496i 0.0790894 + 0.0266483i
\(273\) −0.208208 0.522562i −0.0126013 0.0316269i
\(274\) 16.5839 + 3.65038i 1.00187 + 0.220528i
\(275\) −1.53502 + 2.89535i −0.0925652 + 0.174596i
\(276\) −5.55617 + 2.57056i −0.334442 + 0.154729i
\(277\) 16.4637 5.54727i 0.989209 0.333303i 0.222243 0.974991i \(-0.428662\pi\)
0.766966 + 0.641688i \(0.221766\pi\)
\(278\) 14.4242 + 16.9815i 0.865106 + 1.01848i
\(279\) 1.18470 0.712809i 0.0709260 0.0426748i
\(280\) −1.20934 + 4.35565i −0.0722719 + 0.260300i
\(281\) −10.8244 + 2.38263i −0.645730 + 0.142136i −0.525748 0.850640i \(-0.676215\pi\)
−0.119982 + 0.992776i \(0.538284\pi\)
\(282\) 5.11018 + 7.53695i 0.304307 + 0.448819i
\(283\) −18.6580 + 17.6738i −1.10910 + 1.05060i −0.110714 + 0.993852i \(0.535314\pi\)
−0.998389 + 0.0567453i \(0.981928\pi\)
\(284\) 9.19426 + 5.53200i 0.545579 + 0.328264i
\(285\) −1.17615 7.17417i −0.0696689 0.424961i
\(286\) −0.330322 + 0.487188i −0.0195323 + 0.0288080i
\(287\) −0.628084 + 1.57637i −0.0370746 + 0.0930503i
\(288\) −0.647386 + 0.762162i −0.0381476 + 0.0449108i
\(289\) 2.44379 14.9065i 0.143752 0.876850i
\(290\) −6.47259 6.13117i −0.380084 0.360035i
\(291\) −2.97695 10.7220i −0.174512 0.628535i
\(292\) 1.20571 + 2.27421i 0.0705588 + 0.133088i
\(293\) 11.6473 + 8.85402i 0.680440 + 0.517257i 0.887346 0.461103i \(-0.152546\pi\)
−0.206906 + 0.978361i \(0.566339\pi\)
\(294\) −1.43565 −0.0837288
\(295\) −8.00071 + 12.3554i −0.465819 + 0.719362i
\(296\) −0.120066 −0.00697868
\(297\) −1.96502 1.49377i −0.114022 0.0866774i
\(298\) −0.327280 0.617316i −0.0189588 0.0357601i
\(299\) −0.390560 1.40667i −0.0225867 0.0813499i
\(300\) −0.963873 0.913029i −0.0556492 0.0527137i
\(301\) 0.00346547 0.0211384i 0.000199746 0.00121840i
\(302\) −4.76282 + 5.60722i −0.274069 + 0.322659i
\(303\) 1.77946 4.46612i 0.102228 0.256572i
\(304\) 2.12896 3.13998i 0.122104 0.180090i
\(305\) 1.36534 + 8.32822i 0.0781792 + 0.476872i
\(306\) −1.17940 0.709623i −0.0674219 0.0405664i
\(307\) 12.2767 11.6292i 0.700671 0.663711i −0.251995 0.967728i \(-0.581087\pi\)
0.952666 + 0.304018i \(0.0983281\pi\)
\(308\) −3.26752 4.81923i −0.186184 0.274601i
\(309\) −2.77105 + 0.609954i −0.157640 + 0.0346991i
\(310\) 0.708827 2.55297i 0.0402587 0.144999i
\(311\) 11.7752 7.08488i 0.667709 0.401747i −0.140957 0.990016i \(-0.545018\pi\)
0.808665 + 0.588269i \(0.200190\pi\)
\(312\) −0.154379 0.181750i −0.00874001 0.0102895i
\(313\) 23.0237 7.75758i 1.30138 0.438484i 0.418553 0.908192i \(-0.362537\pi\)
0.882822 + 0.469708i \(0.155641\pi\)
\(314\) −11.3893 + 5.26926i −0.642737 + 0.297362i
\(315\) 2.11740 3.99385i 0.119302 0.225028i
\(316\) 15.6608 + 3.44721i 0.880992 + 0.193921i
\(317\) −10.7267 26.9220i −0.602473 1.51209i −0.841043 0.540968i \(-0.818058\pi\)
0.238571 0.971125i \(-0.423321\pi\)
\(318\) −1.42548 0.480300i −0.0799370 0.0269339i
\(319\) 11.4162 1.24159i 0.639187 0.0695157i
\(320\) 0.103748 + 1.91353i 0.00579971 + 0.106969i
\(321\) −0.209190 + 3.85829i −0.0116759 + 0.215349i
\(322\) 14.3564 + 1.56136i 0.800052 + 0.0870109i
\(323\) 4.73910 + 2.19254i 0.263690 + 0.121996i
\(324\) 0.796093 0.605174i 0.0442274 0.0336208i
\(325\) 0.252044 0.191599i 0.0139809 0.0106280i
\(326\) 20.3199 + 9.40098i 1.12541 + 0.520672i
\(327\) 3.16644 + 0.344371i 0.175104 + 0.0190437i
\(328\) −0.0389454 + 0.718306i −0.00215040 + 0.0396618i
\(329\) −1.16291 21.4486i −0.0641132 1.18250i
\(330\) −4.70242 + 0.511419i −0.258860 + 0.0281527i
\(331\) 18.7085 + 6.30363i 1.02831 + 0.346479i 0.782376 0.622807i \(-0.214008\pi\)
0.245937 + 0.969286i \(0.420904\pi\)
\(332\) 5.02545 + 12.6129i 0.275807 + 0.692224i
\(333\) 0.117259 + 0.0258106i 0.00642573 + 0.00141441i
\(334\) 7.46032 14.0717i 0.408211 0.769967i
\(335\) −3.38429 + 1.56574i −0.184904 + 0.0855455i
\(336\) 2.23541 0.753196i 0.121951 0.0410902i
\(337\) −12.5341 14.7562i −0.682773 0.803823i 0.306192 0.951970i \(-0.400945\pi\)
−0.988965 + 0.148147i \(0.952669\pi\)
\(338\) −11.0904 + 6.67288i −0.603239 + 0.362957i
\(339\) 3.83679 13.8189i 0.208386 0.750538i
\(340\) −2.57603 + 0.567027i −0.139705 + 0.0307514i
\(341\) 1.91518 + 2.82468i 0.103713 + 0.152965i
\(342\) −2.75419 + 2.60890i −0.148929 + 0.141073i
\(343\) 17.0504 + 10.2589i 0.920634 + 0.553927i
\(344\) −0.00146911 0.00896118i −7.92091e−5 0.000483154i
\(345\) 6.58373 9.71027i 0.354456 0.522783i
\(346\) 6.49107 16.2914i 0.348962 0.875829i
\(347\) 7.59549 8.94210i 0.407747 0.480037i −0.519509 0.854465i \(-0.673885\pi\)
0.927256 + 0.374428i \(0.122161\pi\)
\(348\) −0.752667 + 4.59107i −0.0403472 + 0.246107i
\(349\) 23.2559 + 22.0291i 1.24486 + 1.17919i 0.976417 + 0.215895i \(0.0692669\pi\)
0.268441 + 0.963296i \(0.413492\pi\)
\(350\) 0.837843 + 3.01764i 0.0447846 + 0.161300i
\(351\) 0.111699 + 0.210687i 0.00596207 + 0.0112457i
\(352\) −1.96502 1.49377i −0.104736 0.0796182i
\(353\) 3.43673 0.182919 0.0914594 0.995809i \(-0.470847\pi\)
0.0914594 + 0.995809i \(0.470847\pi\)
\(354\) 7.67942 0.162609i 0.408157 0.00864259i
\(355\) −20.5627 −1.09135
\(356\) 0.118176 + 0.0898349i 0.00626330 + 0.00476124i
\(357\) 1.52085 + 2.86862i 0.0804917 + 0.151824i
\(358\) −0.748044 2.69421i −0.0395354 0.142394i
\(359\) −21.7704 20.6220i −1.14900 1.08839i −0.994955 0.100322i \(-0.968013\pi\)
−0.154040 0.988065i \(-0.549229\pi\)
\(360\) 0.310029 1.89109i 0.0163399 0.0996693i
\(361\) −2.98321 + 3.51211i −0.157011 + 0.184848i
\(362\) 3.08272 7.73705i 0.162024 0.406650i
\(363\) −2.75394 + 4.06175i −0.144544 + 0.213187i
\(364\) 0.0910046 + 0.555103i 0.00476994 + 0.0290953i
\(365\) −4.22667 2.54310i −0.221234 0.133112i
\(366\) 3.19723 3.02857i 0.167122 0.158306i
\(367\) −6.78857 10.0124i −0.354360 0.522642i 0.608174 0.793804i \(-0.291902\pi\)
−0.962534 + 0.271162i \(0.912592\pi\)
\(368\) 5.97886 1.31605i 0.311670 0.0686037i
\(369\) 0.192449 0.693140i 0.0100185 0.0360834i
\(370\) 0.197151 0.118622i 0.0102494 0.00616685i
\(371\) 2.29712 + 2.70437i 0.119260 + 0.140404i
\(372\) −1.31023 + 0.441469i −0.0679324 + 0.0228891i
\(373\) −28.4118 + 13.1447i −1.47111 + 0.680606i −0.981522 0.191350i \(-0.938714\pi\)
−0.489584 + 0.871956i \(0.662851\pi\)
\(374\) 1.59141 3.00172i 0.0822898 0.155215i
\(375\) 11.8424 + 2.60671i 0.611540 + 0.134610i
\(376\) −3.37049 8.45928i −0.173820 0.436254i
\(377\) −1.05135 0.354242i −0.0541474 0.0182444i
\(378\) −2.34506 + 0.255041i −0.120617 + 0.0131179i
\(379\) −1.12117 20.6787i −0.0575905 1.06219i −0.874375 0.485251i \(-0.838728\pi\)
0.816784 0.576943i \(-0.195755\pi\)
\(380\) −0.393587 + 7.25928i −0.0201906 + 0.372393i
\(381\) −12.9181 1.40493i −0.661815 0.0719768i
\(382\) −7.13329 3.30021i −0.364971 0.168853i
\(383\) 4.10566 3.12104i 0.209789 0.159478i −0.495003 0.868891i \(-0.664833\pi\)
0.704793 + 0.709413i \(0.251040\pi\)
\(384\) 0.796093 0.605174i 0.0406255 0.0308827i
\(385\) 10.1266 + 4.68508i 0.516101 + 0.238774i
\(386\) 15.0557 + 1.63741i 0.766316 + 0.0833419i
\(387\) −0.000491625 0.00906749i −2.49907e−5 0.000460926i
\(388\) 0.602436 + 11.1113i 0.0305841 + 0.564090i
\(389\) 2.60214 0.283000i 0.131934 0.0143487i −0.0419138 0.999121i \(-0.513345\pi\)
0.173848 + 0.984773i \(0.444380\pi\)
\(390\) 0.433059 + 0.145915i 0.0219288 + 0.00738867i
\(391\) 3.11896 + 7.82800i 0.157733 + 0.395879i
\(392\) 1.40209 + 0.308622i 0.0708160 + 0.0155878i
\(393\) −3.48800 + 6.57908i −0.175947 + 0.331870i
\(394\) −15.8257 + 7.32175i −0.797287 + 0.368864i
\(395\) −29.1213 + 9.81210i −1.46525 + 0.493700i
\(396\) 1.59796 + 1.88127i 0.0803007 + 0.0945373i
\(397\) 5.75386 3.46198i 0.288778 0.173752i −0.363793 0.931480i \(-0.618518\pi\)
0.652570 + 0.757728i \(0.273691\pi\)
\(398\) −2.42808 + 8.74517i −0.121709 + 0.438356i
\(399\) 8.73962 1.92373i 0.437528 0.0963072i
\(400\) 0.745064 + 1.09889i 0.0372532 + 0.0549443i
\(401\) 7.14050 6.76384i 0.356580 0.337770i −0.488350 0.872648i \(-0.662401\pi\)
0.844929 + 0.534878i \(0.179642\pi\)
\(402\) 1.66733 + 1.00320i 0.0831589 + 0.0500351i
\(403\) −0.0533403 0.325361i −0.00265707 0.0162074i
\(404\) −2.69794 + 3.97917i −0.134228 + 0.197971i
\(405\) −0.709309 + 1.78023i −0.0352458 + 0.0884604i
\(406\) 7.10466 8.36426i 0.352599 0.415111i
\(407\) −0.0479460 + 0.292458i −0.00237660 + 0.0144966i
\(408\) 0.999281 + 0.946569i 0.0494718 + 0.0468621i
\(409\) 4.74789 + 17.1004i 0.234768 + 0.845559i 0.983228 + 0.182379i \(0.0583798\pi\)
−0.748460 + 0.663180i \(0.769206\pi\)
\(410\) −0.645718 1.21795i −0.0318898 0.0601505i
\(411\) 13.5183 + 10.2764i 0.666811 + 0.506897i
\(412\) 2.83739 0.139788
\(413\) −15.7196 9.01053i −0.773513 0.443379i
\(414\) −6.12199 −0.300879
\(415\) −20.7132 15.7457i −1.01677 0.772928i
\(416\) 0.111699 + 0.210687i 0.00547651 + 0.0103298i
\(417\) 5.96071 + 21.4685i 0.291897 + 1.05132i
\(418\) −6.79824 6.43964i −0.332513 0.314973i
\(419\) −2.02609 + 12.3586i −0.0989808 + 0.603756i 0.890029 + 0.455904i \(0.150684\pi\)
−0.989010 + 0.147852i \(0.952764\pi\)
\(420\) −2.92646 + 3.44529i −0.142797 + 0.168113i
\(421\) −1.36657 + 3.42983i −0.0666025 + 0.167160i −0.958511 0.285057i \(-0.907987\pi\)
0.891908 + 0.452217i \(0.149367\pi\)
\(422\) −12.1418 + 17.9079i −0.591055 + 0.871742i
\(423\) 1.47319 + 8.98606i 0.0716290 + 0.436917i
\(424\) 1.28890 + 0.775508i 0.0625947 + 0.0376620i
\(425\) −1.32670 + 1.25672i −0.0643545 + 0.0609598i
\(426\) 6.02166 + 8.88128i 0.291750 + 0.430300i
\(427\) −10.1455 + 2.23319i −0.490974 + 0.108072i
\(428\) 1.03372 3.72311i 0.0499666 0.179963i
\(429\) −0.504357 + 0.303461i −0.0243506 + 0.0146513i
\(430\) 0.0112657 + 0.0132630i 0.000543282 + 0.000639601i
\(431\) −12.7972 + 4.31189i −0.616422 + 0.207697i −0.610153 0.792284i \(-0.708892\pi\)
−0.00626877 + 0.999980i \(0.501995\pi\)
\(432\) −0.907575 + 0.419889i −0.0436657 + 0.0202019i
\(433\) −7.85477 + 14.8157i −0.377476 + 0.711996i −0.997354 0.0727030i \(-0.976837\pi\)
0.619877 + 0.784699i \(0.287182\pi\)
\(434\) 3.18517 + 0.701108i 0.152893 + 0.0336543i
\(435\) −3.29996 8.28227i −0.158221 0.397104i
\(436\) −3.01838 1.01701i −0.144554 0.0487059i
\(437\) 23.0886 2.51104i 1.10448 0.120119i
\(438\) 0.139357 + 2.57028i 0.00665872 + 0.122813i
\(439\) −1.76336 + 32.5233i −0.0841607 + 1.55225i 0.586169 + 0.810189i \(0.300636\pi\)
−0.670329 + 0.742064i \(0.733847\pi\)
\(440\) 4.70242 + 0.511419i 0.224179 + 0.0243810i
\(441\) −1.30296 0.602814i −0.0620458 0.0287054i
\(442\) −0.261302 + 0.198637i −0.0124289 + 0.00944819i
\(443\) 23.0824 17.5468i 1.09668 0.833673i 0.109610 0.993975i \(-0.465040\pi\)
0.987068 + 0.160302i \(0.0512468\pi\)
\(444\) −0.108969 0.0504143i −0.00517142 0.00239256i
\(445\) −0.282802 0.0307566i −0.0134061 0.00145800i
\(446\) 1.03210 19.0360i 0.0488715 0.901382i
\(447\) −0.0378272 0.697682i −0.00178917 0.0329992i
\(448\) −2.34506 + 0.255041i −0.110794 + 0.0120495i
\(449\) −7.86762 2.65091i −0.371296 0.125104i 0.127467 0.991843i \(-0.459315\pi\)
−0.498762 + 0.866739i \(0.666212\pi\)
\(450\) −0.491416 1.23336i −0.0231656 0.0581413i
\(451\) 1.73411 + 0.381706i 0.0816560 + 0.0179738i
\(452\) −6.71774 + 12.6710i −0.315976 + 0.595993i
\(453\) −6.67702 + 3.08912i −0.313714 + 0.145140i
\(454\) −12.9365 + 4.35880i −0.607138 + 0.204569i
\(455\) −0.697860 0.821584i −0.0327162 0.0385165i
\(456\) 3.25063 1.95584i 0.152225 0.0915906i
\(457\) 6.63043 23.8806i 0.310158 1.11709i −0.630068 0.776540i \(-0.716973\pi\)
0.940227 0.340550i \(-0.110613\pi\)
\(458\) −0.260686 + 0.0573813i −0.0121810 + 0.00268125i
\(459\) −0.772434 1.13925i −0.0360541 0.0531758i
\(460\) −8.51722 + 8.06794i −0.397118 + 0.376170i
\(461\) 6.62746 + 3.98761i 0.308672 + 0.185722i 0.661458 0.749982i \(-0.269938\pi\)
−0.352786 + 0.935704i \(0.614766\pi\)
\(462\) −0.941978 5.74581i −0.0438248 0.267319i
\(463\) −16.9328 + 24.9741i −0.786936 + 1.16064i 0.196698 + 0.980464i \(0.436978\pi\)
−0.983634 + 0.180180i \(0.942332\pi\)
\(464\) 1.72201 4.32193i 0.0799425 0.200641i
\(465\) 1.71528 2.01938i 0.0795441 0.0936465i
\(466\) −2.05866 + 12.5573i −0.0953656 + 0.581705i
\(467\) −20.5393 19.4559i −0.950447 0.900311i 0.0446714 0.999002i \(-0.485776\pi\)
−0.995118 + 0.0986908i \(0.968535\pi\)
\(468\) −0.0637963 0.229774i −0.00294899 0.0106213i
\(469\) −2.15003 4.05540i −0.0992794 0.187261i
\(470\) 13.8920 + 10.5604i 0.640789 + 0.487115i
\(471\) −12.5492 −0.578236
\(472\) −7.53484 1.49204i −0.346819 0.0686768i
\(473\) −0.0224144 −0.00103062
\(474\) 12.7660 + 9.70443i 0.586360 + 0.445739i
\(475\) 2.35923 + 4.44997i 0.108249 + 0.204179i
\(476\) −0.868621 3.12849i −0.0398132 0.143394i
\(477\) −1.09206 1.03445i −0.0500019 0.0473643i
\(478\) 3.11429 18.9963i 0.142444 0.868871i
\(479\) 0.771508 0.908290i 0.0352511 0.0415008i −0.744254 0.667897i \(-0.767195\pi\)
0.779505 + 0.626396i \(0.215471\pi\)
\(480\) −0.709309 + 1.78023i −0.0323754 + 0.0812561i
\(481\) 0.0160677 0.0236980i 0.000732622 0.00108054i
\(482\) 0.168290 + 1.02652i 0.00766538 + 0.0467568i
\(483\) 12.3739 + 7.44516i 0.563034 + 0.338766i
\(484\) 3.56271 3.37477i 0.161941 0.153399i
\(485\) −11.9669 17.6498i −0.543388 0.801437i
\(486\) 0.976621 0.214970i 0.0443004 0.00975126i
\(487\) −0.0738418 + 0.265954i −0.00334609 + 0.0120515i −0.965204 0.261497i \(-0.915784\pi\)
0.961858 + 0.273549i \(0.0881975\pi\)
\(488\) −3.77353 + 2.27046i −0.170820 + 0.102779i
\(489\) 14.4945 + 17.0642i 0.655462 + 0.771670i
\(490\) −2.60717 + 0.878459i −0.117780 + 0.0396847i
\(491\) −29.1924 + 13.5059i −1.31744 + 0.609511i −0.947562 0.319572i \(-0.896461\pi\)
−0.369873 + 0.929082i \(0.620599\pi\)
\(492\) −0.336955 + 0.635564i −0.0151911 + 0.0286534i
\(493\) 6.25392 + 1.37659i 0.281662 + 0.0619986i
\(494\) 0.334849 + 0.840408i 0.0150656 + 0.0378117i
\(495\) −4.48254 1.51034i −0.201475 0.0678850i
\(496\) 1.37450 0.149486i 0.0617170 0.00671213i
\(497\) −1.37033 25.2743i −0.0614677 1.13371i
\(498\) −0.735056 + 13.5573i −0.0329386 + 0.607518i
\(499\) −38.4296 4.17947i −1.72034 0.187099i −0.805967 0.591961i \(-0.798354\pi\)
−0.914378 + 0.404862i \(0.867319\pi\)
\(500\) −11.0052 5.09154i −0.492167 0.227701i
\(501\) 12.6793 9.63858i 0.566471 0.430620i
\(502\) 12.4171 9.43926i 0.554204 0.421295i
\(503\) 4.60226 + 2.12923i 0.205205 + 0.0949378i 0.519800 0.854288i \(-0.326007\pi\)
−0.314595 + 0.949226i \(0.601869\pi\)
\(504\) 2.34506 + 0.255041i 0.104457 + 0.0113604i
\(505\) 0.498777 9.19940i 0.0221953 0.409368i
\(506\) −0.818098 15.0889i −0.0363689 0.670785i
\(507\) −12.8673 + 1.39940i −0.571455 + 0.0621495i
\(508\) 12.3141 + 4.14910i 0.546349 + 0.184086i
\(509\) −1.70492 4.27903i −0.0755693 0.189665i 0.886339 0.463037i \(-0.153240\pi\)
−0.961908 + 0.273372i \(0.911861\pi\)
\(510\) −2.57603 0.567027i −0.114069 0.0251084i
\(511\) 2.84413 5.36460i 0.125817 0.237316i
\(512\) −0.907575 + 0.419889i −0.0401095 + 0.0185567i
\(513\) −3.59508 + 1.21132i −0.158727 + 0.0534813i
\(514\) 5.95770 + 7.01394i 0.262783 + 0.309372i
\(515\) −4.65906 + 2.80327i −0.205303 + 0.123527i
\(516\) 0.00242937 0.00874981i 0.000106947 0.000385189i
\(517\) −21.9512 + 4.83182i −0.965412 + 0.212503i
\(518\) 0.158940 + 0.234419i 0.00698343 + 0.0102998i
\(519\) 12.7317 12.0601i 0.558860 0.529380i
\(520\) −0.391567 0.235598i −0.0171713 0.0103317i
\(521\) −6.52115 39.7773i −0.285697 1.74267i −0.606096 0.795392i \(-0.707265\pi\)
0.320399 0.947283i \(-0.396183\pi\)
\(522\) −2.61084 + 3.85070i −0.114273 + 0.168541i
\(523\) 2.08107 5.22309i 0.0909989 0.228390i −0.876432 0.481526i \(-0.840083\pi\)
0.967431 + 0.253136i \(0.0814620\pi\)
\(524\) 4.82076 5.67544i 0.210596 0.247933i
\(525\) −0.506668 + 3.09054i −0.0221128 + 0.134882i
\(526\) −13.9034 13.1700i −0.606219 0.574241i
\(527\) 0.509123 + 1.83369i 0.0221777 + 0.0798770i
\(528\) −1.15619 2.18080i −0.0503166 0.0949072i
\(529\) 11.5264 + 8.76216i 0.501149 + 0.380964i
\(530\) −2.88260 −0.125212
\(531\) 7.03793 + 3.07693i 0.305420 + 0.133527i
\(532\) −8.94883 −0.387981
\(533\) −0.136564 0.103813i −0.00591525 0.00449665i
\(534\) 0.0695327 + 0.131153i 0.00300898 + 0.00567553i
\(535\) 1.98095 + 7.13473i 0.0856439 + 0.308461i
\(536\) −1.41269 1.33817i −0.0610190 0.0578003i
\(537\) 0.452364 2.75930i 0.0195209 0.119072i
\(538\) 6.89462 8.11698i 0.297248 0.349948i
\(539\) 1.31164 3.29198i 0.0564965 0.141796i
\(540\) 1.07542 1.58613i 0.0462788 0.0682562i
\(541\) 6.49650 + 39.6269i 0.279306 + 1.70369i 0.637833 + 0.770175i \(0.279831\pi\)
−0.358527 + 0.933519i \(0.616721\pi\)
\(542\) 2.52518 + 1.51935i 0.108466 + 0.0652617i
\(543\) 6.04651 5.72755i 0.259480 0.245793i
\(544\) −0.772434 1.13925i −0.0331178 0.0488451i
\(545\) 5.96103 1.31212i 0.255343 0.0562051i
\(546\) −0.150488 + 0.542010i −0.00644031 + 0.0231959i
\(547\) −6.15788 + 3.70507i −0.263292 + 0.158417i −0.641079 0.767475i \(-0.721513\pi\)
0.377787 + 0.925893i \(0.376685\pi\)
\(548\) −10.9932 12.9422i −0.469605 0.552862i
\(549\) 4.17339 1.40618i 0.178116 0.0600143i
\(550\) 2.97421 1.37602i 0.126821 0.0586736i
\(551\) 8.26717 15.5935i 0.352193 0.664307i
\(552\) 5.97886 + 1.31605i 0.254477 + 0.0560147i
\(553\) −14.0010 35.1400i −0.595385 1.49430i
\(554\) −16.4637 5.54727i −0.699476 0.235681i
\(555\) 0.228737 0.0248767i 0.00970936 0.00105596i
\(556\) −1.20625 22.2480i −0.0511564 0.943525i
\(557\) −0.961828 + 17.7399i −0.0407540 + 0.751663i 0.904728 + 0.425989i \(0.140074\pi\)
−0.945482 + 0.325674i \(0.894409\pi\)
\(558\) −1.37450 0.149486i −0.0581874 0.00632826i
\(559\) 0.00196532 0.000909253i 8.31241e−5 3.84573e-5i
\(560\) 3.59868 2.73564i 0.152072 0.115602i
\(561\) 2.70471 2.05607i 0.114193 0.0868073i
\(562\) 10.0591 + 4.65385i 0.424319 + 0.196311i
\(563\) −1.73409 0.188594i −0.0730834 0.00794829i 0.0715043 0.997440i \(-0.477220\pi\)
−0.144588 + 0.989492i \(0.546186\pi\)
\(564\) 0.492990 9.09267i 0.0207586 0.382870i
\(565\) −1.48792 27.4431i −0.0625972 1.15454i
\(566\) 25.5492 2.77865i 1.07391 0.116795i
\(567\) −2.23541 0.753196i −0.0938783 0.0316313i
\(568\) −3.97166 9.96812i −0.166647 0.418253i
\(569\) −9.00733 1.98266i −0.377607 0.0831176i 0.0221116 0.999756i \(-0.492961\pi\)
−0.399718 + 0.916638i \(0.630892\pi\)
\(570\) −3.40530 + 6.42308i −0.142632 + 0.269033i
\(571\) −16.3680 + 7.57263i −0.684978 + 0.316905i −0.731333 0.682020i \(-0.761102\pi\)
0.0463548 + 0.998925i \(0.485240\pi\)
\(572\) 0.557800 0.187945i 0.0233228 0.00785837i
\(573\) −5.08827 5.99038i −0.212566 0.250252i
\(574\) 1.45399 0.874839i 0.0606885 0.0365151i
\(575\) −2.17444 + 7.83164i −0.0906806 + 0.326602i
\(576\) 0.976621 0.214970i 0.0406925 0.00895710i
\(577\) 2.34568 + 3.45963i 0.0976521 + 0.144026i 0.873376 0.487046i \(-0.161926\pi\)
−0.775724 + 0.631072i \(0.782615\pi\)
\(578\) −10.9665 + 10.3880i −0.456146 + 0.432084i
\(579\) 12.9767 + 7.80781i 0.539292 + 0.324481i
\(580\) 1.44236 + 8.79803i 0.0598909 + 0.365318i
\(581\) 17.9732 26.5085i 0.745655 1.09976i
\(582\) −4.11875 + 10.3373i −0.170728 + 0.428494i
\(583\) 2.40369 2.82985i 0.0995508 0.117200i
\(584\) 0.416436 2.54015i 0.0172322 0.105112i
\(585\) 0.331766 + 0.314265i 0.0137168 + 0.0129933i
\(586\) −3.91408 14.0972i −0.161689 0.582352i
\(587\) −6.28784 11.8601i −0.259527 0.489520i 0.719169 0.694835i \(-0.244523\pi\)
−0.978696 + 0.205315i \(0.934178\pi\)
\(588\) 1.14291 + 0.868819i 0.0471329 + 0.0358295i
\(589\) 5.24516 0.216123
\(590\) 13.8465 4.99426i 0.570052 0.205610i
\(591\) −17.4373 −0.717276
\(592\) 0.0955834 + 0.0726606i 0.00392846 + 0.00298633i
\(593\) 19.9519 + 37.6332i 0.819325 + 1.54541i 0.838055 + 0.545586i \(0.183693\pi\)
−0.0187294 + 0.999825i \(0.505962\pi\)
\(594\) 0.660349 + 2.37836i 0.0270944 + 0.0975853i
\(595\) 4.51717 + 4.27889i 0.185186 + 0.175417i
\(596\) −0.113038 + 0.689502i −0.00463022 + 0.0282431i
\(597\) −5.87567 + 6.91737i −0.240475 + 0.283109i
\(598\) −0.540359 + 1.35620i −0.0220969 + 0.0554591i
\(599\) −5.02570 + 7.41236i −0.205345 + 0.302861i −0.916391 0.400285i \(-0.868911\pi\)
0.711046 + 0.703145i \(0.248222\pi\)
\(600\) 0.214791 + 1.31017i 0.00876880 + 0.0534873i
\(601\) −13.1073 7.88637i −0.534656 0.321692i 0.222493 0.974934i \(-0.428581\pi\)
−0.757149 + 0.653242i \(0.773408\pi\)
\(602\) −0.0155513 + 0.0147309i −0.000633822 + 0.000600388i
\(603\) 1.09200 + 1.61057i 0.0444695 + 0.0655876i
\(604\) 7.18499 1.58154i 0.292353 0.0643518i
\(605\) −2.51587 + 9.06133i −0.102284 + 0.368395i
\(606\) −4.11940 + 2.47856i −0.167339 + 0.100685i
\(607\) 12.3938 + 14.5911i 0.503049 + 0.592236i 0.953810 0.300409i \(-0.0971232\pi\)
−0.450761 + 0.892645i \(0.648847\pi\)
\(608\) −3.59508 + 1.21132i −0.145800 + 0.0491257i
\(609\) 9.96008 4.60802i 0.403603 0.186727i
\(610\) 3.95308 7.45631i 0.160056 0.301897i
\(611\) 2.12071 + 0.466803i 0.0857946 + 0.0188848i
\(612\) 0.509469 + 1.27867i 0.0205940 + 0.0516872i
\(613\) 39.8216 + 13.4174i 1.60838 + 0.541926i 0.973105 0.230362i \(-0.0739910\pi\)
0.635273 + 0.772288i \(0.280888\pi\)
\(614\) −16.8111 + 1.82832i −0.678441 + 0.0737849i
\(615\) −0.0746325 1.37652i −0.00300947 0.0555064i
\(616\) −0.315225 + 5.81398i −0.0127008 + 0.234252i
\(617\) 5.02168 + 0.546141i 0.202165 + 0.0219868i 0.208641 0.977992i \(-0.433096\pi\)
−0.00647597 + 0.999979i \(0.502061\pi\)
\(618\) 2.57514 + 1.19139i 0.103587 + 0.0479247i
\(619\) −22.1462 + 16.8351i −0.890132 + 0.676661i −0.946831 0.321730i \(-0.895736\pi\)
0.0566990 + 0.998391i \(0.481942\pi\)
\(620\) −2.10928 + 1.60343i −0.0847108 + 0.0643955i
\(621\) −5.55617 2.57056i −0.222961 0.103153i
\(622\) −13.6617 1.48580i −0.547785 0.0595752i
\(623\) 0.0189575 0.349651i 0.000759517 0.0140085i
\(624\) 0.0129103 + 0.238116i 0.000516825 + 0.00953227i
\(625\) 16.5017 1.79467i 0.660070 0.0717869i
\(626\) −23.0237 7.75758i −0.920211 0.310055i
\(627\) −3.46598 8.69897i −0.138418 0.347403i
\(628\) 12.2558 + 2.69770i 0.489059 + 0.107650i
\(629\) −0.0774100 + 0.146011i −0.00308654 + 0.00582183i
\(630\) −4.10262 + 1.89808i −0.163452 + 0.0756211i
\(631\) −20.5408 + 6.92100i −0.817717 + 0.275521i −0.696913 0.717156i \(-0.745444\pi\)
−0.120804 + 0.992676i \(0.538547\pi\)
\(632\) −10.3813 12.2218i −0.412947 0.486159i
\(633\) −18.5390 + 11.1545i −0.736857 + 0.443352i
\(634\) −7.75306 + 27.9240i −0.307913 + 1.10900i
\(635\) −24.3193 + 5.35307i −0.965080 + 0.212430i
\(636\) 0.844150 + 1.24503i 0.0334727 + 0.0493686i
\(637\) −0.248547 + 0.235436i −0.00984779 + 0.00932832i
\(638\) −9.83977 5.92039i −0.389560 0.234391i
\(639\) 1.73596 + 10.5889i 0.0686734 + 0.418889i
\(640\) 1.07542 1.58613i 0.0425098 0.0626973i
\(641\) −9.62629 + 24.1602i −0.380216 + 0.954269i 0.606975 + 0.794721i \(0.292383\pi\)
−0.987190 + 0.159548i \(0.948996\pi\)
\(642\) 2.50147 2.94496i 0.0987251 0.116228i
\(643\) −6.61978 + 40.3789i −0.261059 + 1.59239i 0.452482 + 0.891774i \(0.350539\pi\)
−0.713541 + 0.700614i \(0.752910\pi\)
\(644\) −10.4842 9.93112i −0.413134 0.391341i
\(645\) 0.00465549 + 0.0167676i 0.000183310 + 0.000660223i
\(646\) −2.44589 4.61344i −0.0962324 0.181514i
\(647\) 25.6348 + 19.4871i 1.00781 + 0.766115i 0.972415 0.233258i \(-0.0749388\pi\)
0.0353924 + 0.999373i \(0.488732\pi\)
\(648\) −1.00000 −0.0392837
\(649\) −6.64324 + 17.7577i −0.260770 + 0.697049i
\(650\) −0.316601 −0.0124181
\(651\) 2.59639 + 1.97373i 0.101761 + 0.0773564i
\(652\) −10.4873 19.7811i −0.410714 0.774689i
\(653\) 1.45444 + 5.23844i 0.0569168 + 0.204996i 0.986541 0.163512i \(-0.0522824\pi\)
−0.929624 + 0.368508i \(0.879869\pi\)
\(654\) −2.31237 2.19040i −0.0904209 0.0856513i
\(655\) −2.30863 + 14.0820i −0.0902056 + 0.550230i
\(656\) 0.465704 0.548269i 0.0181827 0.0214063i
\(657\) −0.952756 + 2.39124i −0.0371706 + 0.0932911i
\(658\) −12.0543 + 17.7788i −0.469927 + 0.693091i
\(659\) −0.520175 3.17293i −0.0202631 0.123600i 0.974758 0.223264i \(-0.0716713\pi\)
−0.995021 + 0.0996646i \(0.968223\pi\)
\(660\) 4.05307 + 2.43865i 0.157765 + 0.0949243i
\(661\) −4.72963 + 4.48015i −0.183961 + 0.174257i −0.774138 0.633016i \(-0.781817\pi\)
0.590177 + 0.807274i \(0.299058\pi\)
\(662\) −11.0789 16.3402i −0.430594 0.635079i
\(663\) −0.320557 + 0.0705599i −0.0124494 + 0.00274032i
\(664\) 3.63229 13.0823i 0.140960 0.507693i
\(665\) 14.6942 8.84122i 0.569817 0.342848i
\(666\) −0.0777289 0.0915095i −0.00301193 0.00354592i
\(667\) 26.9907 9.09424i 1.04509 0.352130i
\(668\) −14.4549 + 6.68756i −0.559277 + 0.258749i
\(669\) 8.92974 16.8433i 0.345244 0.651198i
\(670\) 3.64176 + 0.801611i 0.140693 + 0.0309689i
\(671\) 4.02353 + 10.0983i 0.155327 + 0.389840i
\(672\) −2.23541 0.753196i −0.0862327 0.0290552i
\(673\) 17.1428 1.86439i 0.660807 0.0718671i 0.228430 0.973560i \(-0.426641\pi\)
0.432377 + 0.901693i \(0.357675\pi\)
\(674\) 1.04818 + 19.3326i 0.0403745 + 0.744665i
\(675\) 0.0718779 1.32571i 0.00276658 0.0510266i
\(676\) 12.8673 + 1.39940i 0.494895 + 0.0538230i
\(677\) −19.0123 8.79602i −0.730702 0.338059i 0.0190136 0.999819i \(-0.493947\pi\)
−0.749715 + 0.661761i \(0.769809\pi\)
\(678\) −11.4173 + 8.67918i −0.438477 + 0.333322i
\(679\) 20.8965 15.8851i 0.801933 0.609613i
\(680\) 2.39391 + 1.10754i 0.0918023 + 0.0424723i
\(681\) −13.5710 1.47594i −0.520043 0.0565581i
\(682\) 0.184762 3.40773i 0.00707489 0.130489i
\(683\) −2.76997 51.0892i −0.105990 1.95487i −0.257169 0.966367i \(-0.582790\pi\)
0.151179 0.988506i \(-0.451693\pi\)
\(684\) 3.77143 0.410168i 0.144204 0.0156832i
\(685\) 30.8376 + 10.3904i 1.17824 + 0.396997i
\(686\) −7.36529 18.4855i −0.281208 0.705779i
\(687\) −0.260686 0.0573813i −0.00994578 0.00218923i
\(688\) −0.00425353 + 0.00802300i −0.000162164 + 0.000305874i
\(689\) −0.325552 + 0.150617i −0.0124026 + 0.00573803i
\(690\) −11.1177 + 3.74598i −0.423242 + 0.142607i
\(691\) 1.26037 + 1.48382i 0.0479466 + 0.0564471i 0.785613 0.618719i \(-0.212348\pi\)
−0.737666 + 0.675166i \(0.764072\pi\)
\(692\) −15.0266 + 9.04121i −0.571226 + 0.343695i
\(693\) 1.55769 5.61029i 0.0591717 0.213117i
\(694\) −11.4582 + 2.52215i −0.434949 + 0.0957395i
\(695\) 23.9611 + 35.3400i 0.908898 + 1.34052i
\(696\) 3.37759 3.19942i 0.128027 0.121274i
\(697\) 0.848416 + 0.510475i 0.0321360 + 0.0193356i
\(698\) −5.18237 31.6111i −0.196156 1.19650i
\(699\) −7.14105 + 10.5323i −0.270099 + 0.398367i
\(700\) 1.15920 2.90936i 0.0438135 0.109964i
\(701\) 22.1500 26.0770i 0.836594 0.984915i −0.163405 0.986559i \(-0.552248\pi\)
0.999999 + 0.00164446i \(0.000523448\pi\)
\(702\) 0.0385795 0.235324i 0.00145609 0.00888174i
\(703\) 0.330683 + 0.313240i 0.0124719 + 0.0118141i
\(704\) 0.660349 + 2.37836i 0.0248878 + 0.0896378i
\(705\) 8.17382 + 15.4175i 0.307844 + 0.580655i
\(706\) −2.73596 2.07982i −0.102969 0.0782751i
\(707\) 11.3405 0.426504
\(708\) −6.21194 4.51794i −0.233459 0.169794i
\(709\) 28.4426 1.06818 0.534092 0.845426i \(-0.320654\pi\)
0.534092 + 0.845426i \(0.320654\pi\)
\(710\) 16.3698 + 12.4440i 0.614348 + 0.467016i
\(711\) 7.51128 + 14.1678i 0.281695 + 0.531333i
\(712\) −0.0397131 0.143034i −0.00148831 0.00536042i
\(713\) 6.14505 + 5.82090i 0.230134 + 0.217994i
\(714\) 0.525280 3.20407i 0.0196581 0.119909i
\(715\) −0.730238 + 0.859703i −0.0273094 + 0.0321511i
\(716\) −1.03495 + 2.59754i −0.0386781 + 0.0970746i
\(717\) 10.8028 15.9329i 0.403438 0.595026i
\(718\) 4.85134 + 29.5919i 0.181050 + 1.10436i
\(719\) −30.2857 18.2223i −1.12947 0.679578i −0.176997 0.984211i \(-0.556638\pi\)
−0.952470 + 0.304634i \(0.901466\pi\)
\(720\) −1.39125 + 1.31786i −0.0518489 + 0.0491139i
\(721\) −3.75607 5.53979i −0.139883 0.206312i
\(722\) 4.50035 0.990602i 0.167486 0.0368664i
\(723\) −0.278290 + 1.00231i −0.0103497 + 0.0372763i
\(724\) −7.13640 + 4.29383i −0.265222 + 0.159579i
\(725\) 3.99873 + 4.70767i 0.148509 + 0.174838i
\(726\) 4.65046 1.56692i 0.172595 0.0581539i
\(727\) −16.5368 + 7.65072i −0.613314 + 0.283749i −0.701851 0.712323i \(-0.747643\pi\)
0.0885369 + 0.996073i \(0.471781\pi\)
\(728\) 0.263486 0.496988i 0.00976545 0.0184196i
\(729\) 0.976621 + 0.214970i 0.0361711 + 0.00796187i
\(730\) 1.82580 + 4.58242i 0.0675759 + 0.169603i
\(731\) −0.0118448 0.00399097i −0.000438095 0.000147611i
\(732\) −4.37811 + 0.476148i −0.161819 + 0.0175989i
\(733\) −2.36394 43.6003i −0.0873141 1.61041i −0.634175 0.773190i \(-0.718660\pi\)
0.546860 0.837224i \(-0.315823\pi\)
\(734\) −0.654907 + 12.0791i −0.0241731 + 0.445846i
\(735\) −2.73506 0.297456i −0.100884 0.0109718i
\(736\) −5.55617 2.57056i −0.204803 0.0947520i
\(737\) −3.82367 + 2.90668i −0.140847 + 0.107069i
\(738\) −0.572678 + 0.435339i −0.0210806 + 0.0160250i
\(739\) 41.9716 + 19.4181i 1.54395 + 0.714307i 0.992765 0.120076i \(-0.0383137\pi\)
0.551185 + 0.834383i \(0.314176\pi\)
\(740\) −0.228737 0.0248767i −0.00840855 0.000914485i
\(741\) −0.0489773 + 0.903333i −0.00179923 + 0.0331848i
\(742\) −0.192101 3.54309i −0.00705224 0.130071i
\(743\) 33.6312 3.65761i 1.23381 0.134185i 0.532120 0.846669i \(-0.321395\pi\)
0.701688 + 0.712484i \(0.252430\pi\)
\(744\) 1.31023 + 0.441469i 0.0480355 + 0.0161850i
\(745\) −0.495599 1.24386i −0.0181573 0.0455715i
\(746\) 30.5732 + 6.72968i 1.11937 + 0.246391i
\(747\) −6.35969 + 11.9956i −0.232689 + 0.438897i
\(748\) −3.08347 + 1.42657i −0.112743 + 0.0521604i
\(749\) −8.63751 + 2.91032i −0.315608 + 0.106341i
\(750\) −7.85015 9.24191i −0.286647 0.337467i
\(751\) 28.7175 17.2788i 1.04792 0.630512i 0.116026 0.993246i \(-0.462984\pi\)
0.931892 + 0.362735i \(0.118157\pi\)
\(752\) −2.43612 + 8.77411i −0.0888361 + 0.319959i
\(753\) 15.2329 3.35302i 0.555119 0.122191i
\(754\) 0.622596 + 0.918261i 0.0226736 + 0.0334411i
\(755\) −10.2354 + 9.69551i −0.372505 + 0.352856i
\(756\) 2.02123 + 1.21613i 0.0735114 + 0.0442303i
\(757\) −7.39797 45.1256i −0.268884 1.64012i −0.683377 0.730066i \(-0.739489\pi\)
0.414493 0.910053i \(-0.363959\pi\)
\(758\) −11.6217 + 17.1407i −0.422118 + 0.622578i
\(759\) 5.59319 14.0379i 0.203020 0.509542i