Properties

Label 441.2.bn.a.131.53
Level $441$
Weight $2$
Character 441.131
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.bn (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 131.53
Character \(\chi\) \(=\) 441.131
Dual form 441.2.bn.a.101.53

$q$-expansion

\(f(q)\) \(=\) \(q+(2.10146 + 1.67586i) q^{2} +(-0.574256 + 1.63408i) q^{3} +(1.16259 + 5.09363i) q^{4} +(-0.190264 - 2.53889i) q^{5} +(-3.94527 + 2.47159i) q^{6} +(-1.20290 + 2.35649i) q^{7} +(-3.76062 + 7.80901i) q^{8} +(-2.34046 - 1.87677i) q^{9} +O(q^{10})\) \(q+(2.10146 + 1.67586i) q^{2} +(-0.574256 + 1.63408i) q^{3} +(1.16259 + 5.09363i) q^{4} +(-0.190264 - 2.53889i) q^{5} +(-3.94527 + 2.47159i) q^{6} +(-1.20290 + 2.35649i) q^{7} +(-3.76062 + 7.80901i) q^{8} +(-2.34046 - 1.87677i) q^{9} +(3.85499 - 5.65423i) q^{10} +(-1.07254 + 0.420941i) q^{11} +(-8.99104 - 1.02528i) q^{12} +(5.20615 - 2.04326i) q^{13} +(-6.47698 + 2.93617i) q^{14} +(4.25803 + 1.14707i) q^{15} +(-11.5751 + 5.57429i) q^{16} +(-2.91640 + 0.899589i) q^{17} +(-1.77319 - 7.86622i) q^{18} +(5.90833 + 3.41117i) q^{19} +(12.7110 - 3.92082i) q^{20} +(-3.15992 - 3.31887i) q^{21} +(-2.95934 - 0.912835i) q^{22} +(-0.156274 - 0.168423i) q^{23} +(-10.6010 - 10.6295i) q^{24} +(-1.46563 + 0.220908i) q^{25} +(14.3647 + 4.43093i) q^{26} +(4.41081 - 2.74676i) q^{27} +(-13.4016 - 3.38751i) q^{28} +(1.38618 + 4.49390i) q^{29} +(7.02574 + 9.54636i) q^{30} -8.38508i q^{31} +(-16.7663 - 3.82680i) q^{32} +(-0.0719403 - 1.99435i) q^{33} +(-7.63627 - 2.99702i) q^{34} +(6.21174 + 2.60568i) q^{35} +(6.83856 - 14.1033i) q^{36} +(0.586868 + 0.544534i) q^{37} +(6.69946 + 17.0699i) q^{38} +(0.349200 + 9.68064i) q^{39} +(20.5418 + 8.06205i) q^{40} +(4.95221 - 3.37636i) q^{41} +(-1.07850 - 12.2700i) q^{42} +(5.71931 + 3.89936i) q^{43} +(-3.39104 - 4.97375i) q^{44} +(-4.31960 + 6.29926i) q^{45} +(-0.0461499 - 0.615828i) q^{46} +(1.77594 - 2.22696i) q^{47} +(-2.46177 - 22.1158i) q^{48} +(-4.10606 - 5.66924i) q^{49} +(-3.45016 - 1.99195i) q^{50} +(0.204754 - 5.28223i) q^{51} +(16.4602 + 24.1427i) q^{52} +(-6.44699 - 6.94821i) q^{53} +(13.8723 + 1.61968i) q^{54} +(1.27279 + 2.64298i) q^{55} +(-13.8782 - 18.2553i) q^{56} +(-8.96703 + 7.69581i) q^{57} +(-4.61812 + 11.7668i) q^{58} +(-8.75756 + 4.21742i) q^{59} +(-0.892412 + 23.0224i) q^{60} +(-10.4487 - 2.38485i) q^{61} +(14.0522 - 17.6209i) q^{62} +(7.23791 - 3.25770i) q^{63} +(-12.8000 - 16.0507i) q^{64} +(-6.17817 - 12.8291i) q^{65} +(3.19107 - 4.31161i) q^{66} +8.24492 q^{67} +(-7.97274 - 13.8092i) q^{68} +(0.364959 - 0.158647i) q^{69} +(8.68696 + 15.8857i) q^{70} +(-6.75372 + 1.54149i) q^{71} +(23.4573 - 11.2189i) q^{72} +(-4.40289 - 1.72801i) q^{73} +(0.320718 + 2.12782i) q^{74} +(0.480664 - 2.52182i) q^{75} +(-10.5063 + 34.0606i) q^{76} +(0.298217 - 3.03378i) q^{77} +(-15.4895 + 20.9287i) q^{78} +12.2651 q^{79} +(16.3549 + 28.3275i) q^{80} +(1.95551 + 8.78499i) q^{81} +(16.0651 + 1.20392i) q^{82} +(0.328587 - 0.837226i) q^{83} +(13.2314 - 19.9540i) q^{84} +(2.83885 + 7.23326i) q^{85} +(5.48412 + 17.7791i) q^{86} +(-8.13943 - 0.315507i) q^{87} +(0.746286 - 9.95849i) q^{88} +(-0.304902 + 0.0459566i) q^{89} +(-19.6341 + 5.99859i) q^{90} +(-1.44756 + 14.7261i) q^{91} +(0.676204 - 0.991809i) q^{92} +(13.7019 + 4.81518i) q^{93} +(7.46415 - 1.70364i) q^{94} +(7.53647 - 15.6496i) q^{95} +(15.8815 - 25.2000i) q^{96} +(-0.386947 + 0.223404i) q^{97} +(0.872116 - 18.7948i) q^{98} +(3.30025 + 1.02771i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 21q^{2} - 11q^{3} + 99q^{4} - 18q^{5} - 34q^{6} - 5q^{7} - 23q^{9} + O(q^{10}) \) \( 648q - 21q^{2} - 11q^{3} + 99q^{4} - 18q^{5} - 34q^{6} - 5q^{7} - 23q^{9} - 22q^{10} - 18q^{11} - 72q^{12} - 4q^{13} + 66q^{14} - 10q^{15} - 105q^{16} - 9q^{17} - 27q^{18} - 36q^{19} - 27q^{20} - 11q^{21} - 9q^{22} - 27q^{23} - 8q^{24} + 38q^{25} + 6q^{26} - 29q^{27} - 26q^{28} + 3q^{29} - 16q^{30} - 21q^{32} - 11q^{33} - 13q^{34} + 28q^{36} - 13q^{37} - 90q^{38} - 15q^{39} - 31q^{40} - 27q^{41} - 4q^{42} - 9q^{43} + 51q^{44} - 11q^{45} - 108q^{46} + 75q^{47} - 15q^{48} - 13q^{49} - 45q^{50} - 38q^{51} + 64q^{52} - 12q^{53} - 41q^{54} + 14q^{55} + 3q^{56} - 7q^{57} - 90q^{58} + 15q^{59} - 69q^{60} - 56q^{61} + 66q^{62} + 13q^{63} + 64q^{64} - 21q^{65} - 204q^{66} - 26q^{67} + 3q^{68} + 58q^{69} - 22q^{70} - 63q^{71} - 18q^{72} - 22q^{73} - 12q^{74} + 118q^{75} - 63q^{76} - 69q^{77} - 147q^{78} - 2q^{79} - 45q^{80} + 29q^{81} - 28q^{82} - 51q^{83} - 31q^{84} - 10q^{85} - 72q^{86} - 67q^{87} + 4q^{88} + 132q^{89} + 58q^{90} - 13q^{91} - 15q^{92} + 217q^{93} - 7q^{94} - 21q^{95} - 44q^{96} + 3q^{97} + 21q^{98} - 148q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{41}{42}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.10146 + 1.67586i 1.48596 + 1.18501i 0.937085 + 0.349103i \(0.113513\pi\)
0.548871 + 0.835907i \(0.315058\pi\)
\(3\) −0.574256 + 1.63408i −0.331547 + 0.943439i
\(4\) 1.16259 + 5.09363i 0.581294 + 2.54682i
\(5\) −0.190264 2.53889i −0.0850886 1.13543i −0.862371 0.506276i \(-0.831022\pi\)
0.777283 0.629151i \(-0.216597\pi\)
\(6\) −3.94527 + 2.47159i −1.61065 + 1.00902i
\(7\) −1.20290 + 2.35649i −0.454654 + 0.890668i
\(8\) −3.76062 + 7.80901i −1.32958 + 2.76090i
\(9\) −2.34046 1.87677i −0.780153 0.625588i
\(10\) 3.85499 5.65423i 1.21906 1.78803i
\(11\) −1.07254 + 0.420941i −0.323383 + 0.126919i −0.521479 0.853264i \(-0.674620\pi\)
0.198096 + 0.980183i \(0.436524\pi\)
\(12\) −8.99104 1.02528i −2.59549 0.295973i
\(13\) 5.20615 2.04326i 1.44393 0.566699i 0.491340 0.870968i \(-0.336507\pi\)
0.952586 + 0.304269i \(0.0984120\pi\)
\(14\) −6.47698 + 2.93617i −1.73105 + 0.784724i
\(15\) 4.25803 + 1.14707i 1.09942 + 0.296172i
\(16\) −11.5751 + 5.57429i −2.89378 + 1.39357i
\(17\) −2.91640 + 0.899589i −0.707330 + 0.218182i −0.627489 0.778625i \(-0.715917\pi\)
−0.0798409 + 0.996808i \(0.525441\pi\)
\(18\) −1.77319 7.86622i −0.417945 1.85409i
\(19\) 5.90833 + 3.41117i 1.35546 + 0.782577i 0.989008 0.147859i \(-0.0472383\pi\)
0.366454 + 0.930436i \(0.380572\pi\)
\(20\) 12.7110 3.92082i 2.84226 0.876722i
\(21\) −3.15992 3.31887i −0.689552 0.724236i
\(22\) −2.95934 0.912835i −0.630933 0.194617i
\(23\) −0.156274 0.168423i −0.0325854 0.0351187i 0.716549 0.697537i \(-0.245721\pi\)
−0.749134 + 0.662418i \(0.769530\pi\)
\(24\) −10.6010 10.6295i −2.16392 2.16975i
\(25\) −1.46563 + 0.220908i −0.293126 + 0.0441816i
\(26\) 14.3647 + 4.43093i 2.81715 + 0.868977i
\(27\) 4.41081 2.74676i 0.848862 0.528615i
\(28\) −13.4016 3.38751i −2.53265 0.640179i
\(29\) 1.38618 + 4.49390i 0.257408 + 0.834496i 0.988369 + 0.152076i \(0.0485960\pi\)
−0.730961 + 0.682419i \(0.760928\pi\)
\(30\) 7.02574 + 9.54636i 1.28272 + 1.74292i
\(31\) 8.38508i 1.50600i −0.658018 0.753002i \(-0.728605\pi\)
0.658018 0.753002i \(-0.271395\pi\)
\(32\) −16.7663 3.82680i −2.96389 0.676489i
\(33\) −0.0719403 1.99435i −0.0125232 0.347172i
\(34\) −7.63627 2.99702i −1.30961 0.513984i
\(35\) 6.21174 + 2.60568i 1.04998 + 0.440441i
\(36\) 6.83856 14.1033i 1.13976 2.35056i
\(37\) 0.586868 + 0.544534i 0.0964805 + 0.0895208i 0.726939 0.686702i \(-0.240942\pi\)
−0.630458 + 0.776223i \(0.717133\pi\)
\(38\) 6.69946 + 17.0699i 1.08680 + 2.76911i
\(39\) 0.349200 + 9.68064i 0.0559168 + 1.55014i
\(40\) 20.5418 + 8.06205i 3.24794 + 1.27472i
\(41\) 4.95221 3.37636i 0.773404 0.527298i −0.111112 0.993808i \(-0.535441\pi\)
0.884516 + 0.466510i \(0.154489\pi\)
\(42\) −1.07850 12.2700i −0.166417 1.89331i
\(43\) 5.71931 + 3.89936i 0.872187 + 0.594647i 0.914558 0.404455i \(-0.132539\pi\)
−0.0423710 + 0.999102i \(0.513491\pi\)
\(44\) −3.39104 4.97375i −0.511219 0.749821i
\(45\) −4.31960 + 6.29926i −0.643928 + 0.939038i
\(46\) −0.0461499 0.615828i −0.00680443 0.0907988i
\(47\) 1.77594 2.22696i 0.259048 0.324836i −0.635251 0.772306i \(-0.719103\pi\)
0.894299 + 0.447470i \(0.147675\pi\)
\(48\) −2.46177 22.1158i −0.355326 3.19214i
\(49\) −4.10606 5.66924i −0.586580 0.809891i
\(50\) −3.45016 1.99195i −0.487927 0.281705i
\(51\) 0.204754 5.28223i 0.0286713 0.739660i
\(52\) 16.4602 + 24.1427i 2.28262 + 3.34799i
\(53\) −6.44699 6.94821i −0.885563 0.954409i 0.113672 0.993518i \(-0.463739\pi\)
−0.999235 + 0.0391088i \(0.987548\pi\)
\(54\) 13.8723 + 1.61968i 1.88778 + 0.220411i
\(55\) 1.27279 + 2.64298i 0.171623 + 0.356379i
\(56\) −13.8782 18.2553i −1.85455 2.43947i
\(57\) −8.96703 + 7.69581i −1.18771 + 1.01934i
\(58\) −4.61812 + 11.7668i −0.606389 + 1.54505i
\(59\) −8.75756 + 4.21742i −1.14014 + 0.549061i −0.906057 0.423156i \(-0.860922\pi\)
−0.234081 + 0.972217i \(0.575208\pi\)
\(60\) −0.892412 + 23.0224i −0.115210 + 2.97218i
\(61\) −10.4487 2.38485i −1.33782 0.305349i −0.507028 0.861930i \(-0.669256\pi\)
−0.830794 + 0.556581i \(0.812113\pi\)
\(62\) 14.0522 17.6209i 1.78463 2.23785i
\(63\) 7.23791 3.25770i 0.911891 0.410432i
\(64\) −12.8000 16.0507i −1.60000 2.00634i
\(65\) −6.17817 12.8291i −0.766308 1.59125i
\(66\) 3.19107 4.31161i 0.392793 0.530722i
\(67\) 8.24492 1.00728 0.503639 0.863914i \(-0.331994\pi\)
0.503639 + 0.863914i \(0.331994\pi\)
\(68\) −7.97274 13.8092i −0.966837 1.67461i
\(69\) 0.364959 0.158647i 0.0439359 0.0190988i
\(70\) 8.68696 + 15.8857i 1.03829 + 1.89871i
\(71\) −6.75372 + 1.54149i −0.801519 + 0.182942i −0.603611 0.797279i \(-0.706272\pi\)
−0.197908 + 0.980221i \(0.563415\pi\)
\(72\) 23.4573 11.2189i 2.76447 1.32216i
\(73\) −4.40289 1.72801i −0.515320 0.202248i 0.0934070 0.995628i \(-0.470224\pi\)
−0.608727 + 0.793380i \(0.708319\pi\)
\(74\) 0.320718 + 2.12782i 0.0372827 + 0.247354i
\(75\) 0.480664 2.52182i 0.0555023 0.291194i
\(76\) −10.5063 + 34.0606i −1.20516 + 3.90702i
\(77\) 0.298217 3.03378i 0.0339850 0.345731i
\(78\) −15.4895 + 20.9287i −1.75385 + 2.36971i
\(79\) 12.2651 1.37993 0.689964 0.723844i \(-0.257626\pi\)
0.689964 + 0.723844i \(0.257626\pi\)
\(80\) 16.3549 + 28.3275i 1.82853 + 3.16711i
\(81\) 1.95551 + 8.78499i 0.217278 + 0.976110i
\(82\) 16.0651 + 1.20392i 1.77410 + 0.132950i
\(83\) 0.328587 0.837226i 0.0360671 0.0918974i −0.911705 0.410844i \(-0.865234\pi\)
0.947773 + 0.318947i \(0.103329\pi\)
\(84\) 13.2314 19.9540i 1.44366 2.17716i
\(85\) 2.83885 + 7.23326i 0.307916 + 0.784558i
\(86\) 5.48412 + 17.7791i 0.591368 + 1.91717i
\(87\) −8.13943 0.315507i −0.872638 0.0338259i
\(88\) 0.746286 9.95849i 0.0795543 1.06158i
\(89\) −0.304902 + 0.0459566i −0.0323195 + 0.00487139i −0.165182 0.986263i \(-0.552821\pi\)
0.132863 + 0.991134i \(0.457583\pi\)
\(90\) −19.6341 + 5.99859i −2.06962 + 0.632307i
\(91\) −1.44756 + 14.7261i −0.151745 + 1.54371i
\(92\) 0.676204 0.991809i 0.0704992 0.103403i
\(93\) 13.7019 + 4.81518i 1.42082 + 0.499311i
\(94\) 7.46415 1.70364i 0.769868 0.175717i
\(95\) 7.53647 15.6496i 0.773225 1.60562i
\(96\) 15.8815 25.2000i 1.62089 2.57196i
\(97\) −0.386947 + 0.223404i −0.0392885 + 0.0226833i −0.519516 0.854461i \(-0.673888\pi\)
0.480227 + 0.877144i \(0.340554\pi\)
\(98\) 0.872116 18.7948i 0.0880970 1.89857i
\(99\) 3.30025 + 1.02771i 0.331687 + 0.103289i
\(100\) −2.82914 7.20854i −0.282914 0.720854i
\(101\) 1.99416 1.35960i 0.198426 0.135285i −0.460031 0.887903i \(-0.652162\pi\)
0.658457 + 0.752618i \(0.271209\pi\)
\(102\) 9.28255 10.7573i 0.919109 1.06513i
\(103\) 1.61111 0.120736i 0.158747 0.0118965i 0.00488076 0.999988i \(-0.498446\pi\)
0.153867 + 0.988092i \(0.450827\pi\)
\(104\) −3.62250 + 48.3388i −0.355215 + 4.74001i
\(105\) −7.82503 + 8.65417i −0.763645 + 0.844561i
\(106\) −1.90389 25.4056i −0.184922 2.46761i
\(107\) −1.43023 9.48895i −0.138265 0.917332i −0.945153 0.326627i \(-0.894088\pi\)
0.806888 0.590705i \(-0.201150\pi\)
\(108\) 19.1190 + 19.2737i 1.83972 + 1.85461i
\(109\) 0.354374 + 0.0534133i 0.0339429 + 0.00511607i 0.165992 0.986127i \(-0.446917\pi\)
−0.132049 + 0.991243i \(0.542156\pi\)
\(110\) −1.75454 + 7.68712i −0.167288 + 0.732939i
\(111\) −1.22683 + 0.646290i −0.116445 + 0.0613431i
\(112\) 0.787990 33.9820i 0.0744580 3.21100i
\(113\) 0.110294 + 0.731753i 0.0103756 + 0.0688375i 0.993419 0.114533i \(-0.0365372\pi\)
−0.983044 + 0.183371i \(0.941299\pi\)
\(114\) −31.7409 + 1.14496i −2.97281 + 0.107235i
\(115\) −0.397876 + 0.428808i −0.0371021 + 0.0399866i
\(116\) −21.2787 + 12.2853i −1.97568 + 1.14066i
\(117\) −16.0195 4.98854i −1.48100 0.461191i
\(118\) −25.4714 5.81369i −2.34484 0.535194i
\(119\) 1.38826 7.95457i 0.127262 0.729194i
\(120\) −24.9703 + 28.9373i −2.27947 + 2.64160i
\(121\) −7.09042 + 6.57895i −0.644583 + 0.598086i
\(122\) −17.9609 22.5222i −1.62610 2.03907i
\(123\) 2.67342 + 10.0312i 0.241054 + 0.904484i
\(124\) 42.7105 9.74839i 3.83551 0.875431i
\(125\) −1.99299 8.73185i −0.178258 0.781001i
\(126\) 20.6696 + 5.28378i 1.84140 + 0.470717i
\(127\) 2.29697 10.0637i 0.203823 0.893006i −0.764760 0.644315i \(-0.777142\pi\)
0.968583 0.248691i \(-0.0800004\pi\)
\(128\) 20.7859i 1.83724i
\(129\) −9.65623 + 7.10660i −0.850184 + 0.625702i
\(130\) 8.51657 37.3136i 0.746953 3.27262i
\(131\) −1.46794 1.00082i −0.128254 0.0874423i 0.497494 0.867468i \(-0.334254\pi\)
−0.625748 + 0.780025i \(0.715206\pi\)
\(132\) 10.0748 2.68504i 0.876903 0.233703i
\(133\) −15.1455 + 9.81959i −1.31328 + 0.851466i
\(134\) 17.3264 + 13.8173i 1.49677 + 1.19363i
\(135\) −7.81296 10.6760i −0.672433 0.918842i
\(136\) 3.94256 26.1572i 0.338072 2.24296i
\(137\) 8.16579 + 0.611941i 0.697650 + 0.0522816i 0.418834 0.908063i \(-0.362439\pi\)
0.278816 + 0.960344i \(0.410058\pi\)
\(138\) 1.03282 + 0.278230i 0.0879191 + 0.0236845i
\(139\) −2.00098 2.93490i −0.169721 0.248935i 0.731949 0.681359i \(-0.238611\pi\)
−0.901670 + 0.432424i \(0.857658\pi\)
\(140\) −6.05069 + 34.6696i −0.511377 + 2.93012i
\(141\) 2.61920 + 4.18089i 0.220576 + 0.352095i
\(142\) −16.7760 8.07889i −1.40781 0.677965i
\(143\) −4.72372 + 4.38297i −0.395017 + 0.366522i
\(144\) 37.5528 + 8.67741i 3.12940 + 0.723117i
\(145\) 11.1458 4.37440i 0.925607 0.363274i
\(146\) −6.35660 11.0100i −0.526076 0.911191i
\(147\) 11.6219 3.45405i 0.958562 0.284886i
\(148\) −2.09137 + 3.62236i −0.171909 + 0.297756i
\(149\) 1.36302 9.04308i 0.111663 0.740838i −0.860998 0.508609i \(-0.830160\pi\)
0.972661 0.232229i \(-0.0746019\pi\)
\(150\) 5.23630 4.49397i 0.427542 0.366931i
\(151\) −16.3307 5.03735i −1.32897 0.409933i −0.452662 0.891682i \(-0.649526\pi\)
−0.876309 + 0.481749i \(0.840002\pi\)
\(152\) −48.8569 + 33.3101i −3.96282 + 2.70180i
\(153\) 8.51403 + 3.36794i 0.688318 + 0.272282i
\(154\) 5.71087 5.87559i 0.460195 0.473469i
\(155\) −21.2888 + 1.59538i −1.70996 + 0.128144i
\(156\) −48.9036 + 13.0333i −3.91542 + 1.04350i
\(157\) 0.427702 + 0.888133i 0.0341344 + 0.0708808i 0.917339 0.398108i \(-0.130333\pi\)
−0.883204 + 0.468988i \(0.844619\pi\)
\(158\) 25.7745 + 20.5545i 2.05051 + 1.63523i
\(159\) 15.0562 6.54488i 1.19403 0.519043i
\(160\) −6.52581 + 43.2959i −0.515911 + 3.42285i
\(161\) 0.584870 0.165661i 0.0460942 0.0130559i
\(162\) −10.6130 + 21.7384i −0.833834 + 1.70793i
\(163\) −1.12362 + 14.9937i −0.0880088 + 1.17440i 0.761982 + 0.647598i \(0.224227\pi\)
−0.849991 + 0.526798i \(0.823393\pi\)
\(164\) 22.9553 + 21.2994i 1.79251 + 1.66320i
\(165\) −5.04976 + 0.562101i −0.393123 + 0.0437595i
\(166\) 2.09358 1.20873i 0.162493 0.0938156i
\(167\) −8.66694 8.04174i −0.670668 0.622289i 0.269500 0.963000i \(-0.413142\pi\)
−0.940168 + 0.340712i \(0.889332\pi\)
\(168\) 37.8004 12.1949i 2.91636 0.940856i
\(169\) 13.3994 12.4328i 1.03072 0.956371i
\(170\) −6.15620 + 19.9579i −0.472159 + 1.53070i
\(171\) −7.42623 19.0723i −0.567898 1.45849i
\(172\) −13.2127 + 33.6654i −1.00746 + 2.56696i
\(173\) −3.41414 14.9583i −0.259572 1.13726i −0.921711 0.387878i \(-0.873208\pi\)
0.662139 0.749381i \(-0.269649\pi\)
\(174\) −16.5759 14.3035i −1.25662 1.08435i
\(175\) 1.24244 3.71946i 0.0939195 0.281165i
\(176\) 10.0684 10.8511i 0.758931 0.817933i
\(177\) −1.86253 16.7325i −0.139997 1.25769i
\(178\) −0.717755 0.414396i −0.0537980 0.0310603i
\(179\) 4.35568 + 14.1208i 0.325559 + 1.05544i 0.959418 + 0.281987i \(0.0909936\pi\)
−0.633859 + 0.773448i \(0.718530\pi\)
\(180\) −37.1080 14.6790i −2.76587 1.09411i
\(181\) 16.8052 13.4017i 1.24912 0.996140i 0.249506 0.968373i \(-0.419732\pi\)
0.999614 0.0277670i \(-0.00883964\pi\)
\(182\) −27.7208 + 28.5203i −2.05480 + 2.11407i
\(183\) 9.89729 15.7046i 0.731629 1.16092i
\(184\) 1.90291 0.586970i 0.140284 0.0432720i
\(185\) 1.27085 1.59360i 0.0934351 0.117164i
\(186\) 20.7244 + 33.0814i 1.51959 + 2.42564i
\(187\) 2.74928 2.19248i 0.201047 0.160330i
\(188\) 13.4080 + 6.45696i 0.977881 + 0.470923i
\(189\) 1.16694 + 13.6981i 0.0848826 + 0.996391i
\(190\) 42.0641 20.2570i 3.05165 1.46960i
\(191\) −10.2988 + 21.3856i −0.745194 + 1.54741i 0.0890574 + 0.996026i \(0.471615\pi\)
−0.834251 + 0.551384i \(0.814100\pi\)
\(192\) 33.5787 11.6991i 2.42333 0.844308i
\(193\) −8.40433 4.04731i −0.604957 0.291332i 0.106223 0.994342i \(-0.466124\pi\)
−0.711179 + 0.703011i \(0.751839\pi\)
\(194\) −1.18755 0.178994i −0.0852609 0.0128510i
\(195\) 24.5117 2.72846i 1.75532 0.195389i
\(196\) 24.1033 27.5057i 1.72167 1.96470i
\(197\) 18.9379i 1.34927i −0.738152 0.674635i \(-0.764301\pi\)
0.738152 0.674635i \(-0.235699\pi\)
\(198\) 5.21304 + 7.69044i 0.370474 + 0.546535i
\(199\) −6.61025 + 0.495369i −0.468588 + 0.0351158i −0.306932 0.951731i \(-0.599302\pi\)
−0.161656 + 0.986847i \(0.551683\pi\)
\(200\) 3.78660 12.2759i 0.267753 0.868034i
\(201\) −4.73469 + 13.4729i −0.333960 + 0.950304i
\(202\) 6.46913 + 0.484794i 0.455167 + 0.0341100i
\(203\) −12.2573 2.13919i −0.860290 0.150141i
\(204\) 27.1438 5.09812i 1.90044 0.356940i
\(205\) −9.51444 11.9307i −0.664517 0.833278i
\(206\) 3.58802 + 2.44627i 0.249989 + 0.170440i
\(207\) 0.0496621 + 0.687478i 0.00345175 + 0.0477830i
\(208\) −48.8722 + 52.6717i −3.38867 + 3.65212i
\(209\) −7.77283 1.17157i −0.537658 0.0810388i
\(210\) −30.9471 + 5.07275i −2.13555 + 0.350053i
\(211\) −6.64622 + 1.00176i −0.457545 + 0.0689638i −0.373771 0.927521i \(-0.621935\pi\)
−0.0837738 + 0.996485i \(0.526697\pi\)
\(212\) 27.8964 40.9165i 1.91593 2.81016i
\(213\) 1.35944 11.9214i 0.0931471 0.816838i
\(214\) 12.8966 22.3375i 0.881591 1.52696i
\(215\) 8.81189 15.2626i 0.600966 1.04090i
\(216\) 4.86211 + 44.7737i 0.330825 + 3.04646i
\(217\) 19.7593 + 10.0864i 1.34135 + 0.684710i
\(218\) 0.655189 + 0.706126i 0.0443750 + 0.0478249i
\(219\) 5.35210 6.20238i 0.361661 0.419118i
\(220\) −11.9826 + 9.55582i −0.807868 + 0.644253i
\(221\) −13.3451 + 10.6424i −0.897689 + 0.715883i
\(222\) −3.66121 0.697835i −0.245725 0.0468356i
\(223\) −14.8181 15.9701i −0.992290 1.06943i −0.997586 0.0694488i \(-0.977876\pi\)
0.00529504 0.999986i \(-0.498315\pi\)
\(224\) 29.1860 34.9063i 1.95007 2.33228i
\(225\) 3.84483 + 2.23361i 0.256322 + 0.148908i
\(226\) −0.994535 + 1.72259i −0.0661555 + 0.114585i
\(227\) 3.33743 5.78060i 0.221513 0.383672i −0.733755 0.679415i \(-0.762234\pi\)
0.955268 + 0.295743i \(0.0955671\pi\)
\(228\) −49.6246 36.7277i −3.28647 2.43235i
\(229\) −14.1027 + 20.6849i −0.931934 + 1.36690i −0.00167297 + 0.999999i \(0.500533\pi\)
−0.930261 + 0.366898i \(0.880420\pi\)
\(230\) −1.55474 + 0.234339i −0.102517 + 0.0154519i
\(231\) 4.78620 + 2.22948i 0.314909 + 0.146689i
\(232\) −40.3058 6.07512i −2.64621 0.398851i
\(233\) 6.85544 7.38841i 0.449115 0.484031i −0.467392 0.884050i \(-0.654806\pi\)
0.916507 + 0.400020i \(0.130997\pi\)
\(234\) −25.3042 37.3296i −1.65419 2.44031i
\(235\) −5.99192 4.08522i −0.390870 0.266491i
\(236\) −31.6634 39.7047i −2.06111 2.58455i
\(237\) −7.04329 + 20.0422i −0.457511 + 1.30188i
\(238\) 16.2481 14.3897i 1.05321 0.932743i
\(239\) 19.5139 + 1.46236i 1.26225 + 0.0945924i 0.688983 0.724778i \(-0.258057\pi\)
0.573265 + 0.819370i \(0.305677\pi\)
\(240\) −55.6813 + 10.4580i −3.59421 + 0.675061i
\(241\) −6.67851 + 21.6512i −0.430201 + 1.39468i 0.438228 + 0.898864i \(0.355606\pi\)
−0.868429 + 0.495813i \(0.834870\pi\)
\(242\) −25.9256 + 1.94285i −1.66656 + 0.124891i
\(243\) −15.4784 1.84937i −0.992938 0.118637i
\(244\) 55.9945i 3.58468i
\(245\) −13.6124 + 11.5035i −0.869662 + 0.734932i
\(246\) −11.1928 + 25.5604i −0.713627 + 1.62967i
\(247\) 37.7296 + 5.68682i 2.40067 + 0.361843i
\(248\) 65.4792 + 31.5331i 4.15793 + 2.00235i
\(249\) 1.17940 + 1.01772i 0.0747417 + 0.0644954i
\(250\) 10.4452 21.6896i 0.660610 1.37177i
\(251\) −3.64860 + 1.75707i −0.230298 + 0.110905i −0.545474 0.838128i \(-0.683650\pi\)
0.315177 + 0.949033i \(0.397936\pi\)
\(252\) 25.0082 + 33.0799i 1.57537 + 2.08384i
\(253\) 0.238507 + 0.114859i 0.0149948 + 0.00722111i
\(254\) 21.6923 17.2990i 1.36109 1.08544i
\(255\) −13.4500 + 0.485168i −0.842271 + 0.0303824i
\(256\) 9.23424 11.5794i 0.577140 0.723711i
\(257\) 22.2851 6.87403i 1.39010 0.428790i 0.492777 0.870156i \(-0.335982\pi\)
0.897327 + 0.441365i \(0.145506\pi\)
\(258\) −32.2018 1.24823i −2.00480 0.0777116i
\(259\) −1.98913 + 0.727927i −0.123599 + 0.0452312i
\(260\) 58.1640 46.3843i 3.60718 2.87663i
\(261\) 5.18968 13.1193i 0.321233 0.812066i
\(262\) −1.40757 4.56324i −0.0869602 0.281918i
\(263\) 9.83809 + 5.68003i 0.606643 + 0.350245i 0.771650 0.636047i \(-0.219432\pi\)
−0.165008 + 0.986292i \(0.552765\pi\)
\(264\) 15.8445 + 6.93822i 0.975159 + 0.427018i
\(265\) −16.4141 + 17.6902i −1.00831 + 1.08670i
\(266\) −48.2839 4.74625i −2.96047 0.291011i
\(267\) 0.0999949 0.524626i 0.00611959 0.0321066i
\(268\) 9.58544 + 41.9966i 0.585524 + 2.56535i
\(269\) 3.75582 9.56968i 0.228997 0.583474i −0.769479 0.638672i \(-0.779484\pi\)
0.998475 + 0.0551987i \(0.0175792\pi\)
\(270\) 1.47281 35.5285i 0.0896322 2.16220i
\(271\) −0.306496 + 0.993636i −0.0186183 + 0.0603591i −0.964405 0.264429i \(-0.914817\pi\)
0.945787 + 0.324788i \(0.105293\pi\)
\(272\) 28.7431 26.6697i 1.74281 1.61709i
\(273\) −23.2324 10.8220i −1.40609 0.654975i
\(274\) 16.1345 + 14.9707i 0.974723 + 0.904410i
\(275\) 1.47896 0.853876i 0.0891844 0.0514907i
\(276\) 1.23239 + 1.67453i 0.0741809 + 0.100795i
\(277\) 8.97582 + 8.32834i 0.539305 + 0.500402i 0.902135 0.431453i \(-0.141999\pi\)
−0.362830 + 0.931855i \(0.618190\pi\)
\(278\) 0.713495 9.52092i 0.0427926 0.571027i
\(279\) −15.7368 + 19.6249i −0.942139 + 1.17491i
\(280\) −43.7078 + 38.7086i −2.61204 + 2.31328i
\(281\) −0.178707 + 1.18564i −0.0106608 + 0.0707296i −0.993529 0.113582i \(-0.963768\pi\)
0.982868 + 0.184312i \(0.0590056\pi\)
\(282\) −1.50244 + 13.1754i −0.0894688 + 0.784582i
\(283\) 9.84199 + 7.84872i 0.585045 + 0.466558i 0.870727 0.491766i \(-0.163649\pi\)
−0.285682 + 0.958325i \(0.592220\pi\)
\(284\) −15.7036 32.6088i −0.931836 1.93498i
\(285\) 21.2450 + 21.3021i 1.25844 + 1.26183i
\(286\) −17.2719 + 1.29435i −1.02131 + 0.0765366i
\(287\) 1.99933 + 15.7312i 0.118017 + 0.928585i
\(288\) 32.0588 + 40.4229i 1.88909 + 2.38194i
\(289\) −6.34995 + 4.32932i −0.373526 + 0.254666i
\(290\) 30.7533 + 9.48613i 1.80589 + 0.557045i
\(291\) −0.142854 0.760596i −0.00837426 0.0445869i
\(292\) 3.68309 24.4357i 0.215536 1.42999i
\(293\) −12.7299 + 22.0488i −0.743689 + 1.28811i 0.207116 + 0.978316i \(0.433592\pi\)
−0.950805 + 0.309791i \(0.899741\pi\)
\(294\) 30.2115 + 12.2182i 1.76197 + 0.712578i
\(295\) 12.3738 + 21.4321i 0.720432 + 1.24782i
\(296\) −6.45926 + 2.53507i −0.375437 + 0.147348i
\(297\) −3.57455 + 4.80271i −0.207417 + 0.278682i
\(298\) 18.0192 16.7194i 1.04383 0.968529i
\(299\) −1.15772 0.557528i −0.0669527 0.0322427i
\(300\) 13.4040 0.483510i 0.773881 0.0279155i
\(301\) −16.0686 + 8.78694i −0.926176 + 0.506471i
\(302\) −25.8764 37.9536i −1.48902 2.18399i
\(303\) 1.07653 + 4.03938i 0.0618453 + 0.232056i
\(304\) −87.4046 6.55007i −5.01299 0.375672i
\(305\) −4.06687 + 26.9819i −0.232869 + 1.54498i
\(306\) 12.2477 + 21.3459i 0.700154 + 1.22026i
\(307\) −5.05028 4.02746i −0.288234 0.229859i 0.468688 0.883364i \(-0.344727\pi\)
−0.756923 + 0.653504i \(0.773298\pi\)
\(308\) 15.7997 2.00803i 0.900269 0.114418i
\(309\) −0.727897 + 2.70202i −0.0414086 + 0.153713i
\(310\) −47.4112 32.3244i −2.69277 1.83590i
\(311\) −4.26023 + 18.6653i −0.241575 + 1.05841i 0.698008 + 0.716090i \(0.254070\pi\)
−0.939583 + 0.342321i \(0.888787\pi\)
\(312\) −76.9095 33.6783i −4.35414 1.90666i
\(313\) 18.2142i 1.02953i 0.857331 + 0.514765i \(0.172121\pi\)
−0.857331 + 0.514765i \(0.827879\pi\)
\(314\) −0.589586 + 2.58314i −0.0332722 + 0.145775i
\(315\) −9.64807 17.7565i −0.543607 1.00046i
\(316\) 14.2592 + 62.4737i 0.802144 + 3.51442i
\(317\) −1.56854 + 0.358009i −0.0880980 + 0.0201078i −0.266343 0.963878i \(-0.585815\pi\)
0.178245 + 0.983986i \(0.442958\pi\)
\(318\) 42.6082 + 11.4782i 2.38935 + 0.643666i
\(319\) −3.37841 4.23639i −0.189154 0.237192i
\(320\) −38.3157 + 35.5517i −2.14191 + 1.98740i
\(321\) 16.3271 + 3.11197i 0.911288 + 0.173693i
\(322\) 1.50670 + 0.632028i 0.0839653 + 0.0352215i
\(323\) −20.2997 4.63327i −1.12950 0.257802i
\(324\) −42.4740 + 20.1739i −2.35967 + 1.12077i
\(325\) −7.17890 + 4.14474i −0.398214 + 0.229909i
\(326\) −27.4885 + 29.6256i −1.52245 + 1.64081i
\(327\) −0.290783 + 0.548404i −0.0160804 + 0.0303268i
\(328\) 7.74264 + 51.3690i 0.427516 + 2.83638i
\(329\) 3.11153 + 6.86381i 0.171544 + 0.378414i
\(330\) −11.5539 7.28144i −0.636019 0.400830i
\(331\) 2.87011 12.5748i 0.157756 0.691173i −0.832744 0.553658i \(-0.813231\pi\)
0.990500 0.137515i \(-0.0439115\pi\)
\(332\) 4.64653 + 0.700351i 0.255011 + 0.0384368i
\(333\) −0.351579 2.37587i −0.0192664 0.130197i
\(334\) −4.73639 31.4239i −0.259164 1.71944i
\(335\) −1.56871 20.9330i −0.0857078 1.14369i
\(336\) 55.0769 + 20.8020i 3.00469 + 1.13484i
\(337\) −0.119646 + 1.59657i −0.00651755 + 0.0869707i −0.999514 0.0311737i \(-0.990076\pi\)
0.992996 + 0.118144i \(0.0376945\pi\)
\(338\) 48.9939 3.67159i 2.66492 0.199708i
\(339\) −1.25908 0.239984i −0.0683840 0.0130341i
\(340\) −33.5432 + 22.8693i −1.81913 + 1.24026i
\(341\) 3.52963 + 8.99334i 0.191140 + 0.487017i
\(342\) 16.3565 52.5248i 0.884456 2.84022i
\(343\) 18.2987 2.85635i 0.988035 0.154229i
\(344\) −51.9583 + 29.9982i −2.80141 + 1.61739i
\(345\) −0.472226 0.896408i −0.0254238 0.0482610i
\(346\) 17.8933 37.1559i 0.961951 1.99751i
\(347\) −19.9330 + 4.54958i −1.07006 + 0.244234i −0.721049 0.692884i \(-0.756340\pi\)
−0.349011 + 0.937118i \(0.613483\pi\)
\(348\) −7.85572 41.8260i −0.421111 2.24211i
\(349\) −1.81760 + 2.66593i −0.0972939 + 0.142704i −0.871799 0.489864i \(-0.837047\pi\)
0.774505 + 0.632568i \(0.217999\pi\)
\(350\) 8.84422 5.73415i 0.472743 0.306503i
\(351\) 17.3510 23.3125i 0.926128 1.24433i
\(352\) 19.5934 2.95323i 1.04433 0.157408i
\(353\) 1.55646 20.7696i 0.0828422 1.10545i −0.788584 0.614926i \(-0.789186\pi\)
0.871427 0.490526i \(-0.163195\pi\)
\(354\) 24.1272 38.2839i 1.28235 2.03477i
\(355\) 5.19867 + 16.8537i 0.275917 + 0.894501i
\(356\) −0.588561 1.49963i −0.0311937 0.0794802i
\(357\) 12.2012 + 6.83650i 0.645757 + 0.361826i
\(358\) −14.5111 + 36.9737i −0.766936 + 1.95412i
\(359\) 29.9809 + 2.24675i 1.58233 + 0.118579i 0.836654 0.547731i \(-0.184508\pi\)
0.745675 + 0.666310i \(0.232127\pi\)
\(360\) −32.9466 57.4210i −1.73644 3.02635i
\(361\) 13.7722 + 23.8542i 0.724853 + 1.25548i
\(362\) 57.7747 3.03657
\(363\) −6.67883 15.3643i −0.350548 0.806419i
\(364\) −76.6920 + 9.74703i −4.01976 + 0.510883i
\(365\) −3.54952 + 11.5073i −0.185790 + 0.602318i
\(366\) 47.1174 16.4161i 2.46286 0.858081i
\(367\) −1.30408 8.65199i −0.0680723 0.451630i −0.996738 0.0807111i \(-0.974281\pi\)
0.928665 0.370919i \(-0.120957\pi\)
\(368\) 2.74774 + 1.07841i 0.143236 + 0.0562158i
\(369\) −17.9271 1.39190i −0.933246 0.0724594i
\(370\) 5.34129 1.21912i 0.277681 0.0633788i
\(371\) 24.1284 6.83425i 1.25269 0.354817i
\(372\) −8.59707 + 75.3906i −0.445737 + 3.90882i
\(373\) −11.5727 20.0445i −0.599212 1.03787i −0.992938 0.118637i \(-0.962147\pi\)
0.393726 0.919228i \(-0.371186\pi\)
\(374\) 9.45178 0.488740
\(375\) 15.4131 + 1.75761i 0.795927 + 0.0907626i
\(376\) 10.7117 + 22.2432i 0.552416 + 1.14710i
\(377\) 16.3989 + 20.5636i 0.844586 + 1.05908i
\(378\) −20.5038 + 30.7416i −1.05460 + 1.58118i
\(379\) −8.93257 + 11.2011i −0.458835 + 0.575361i −0.956398 0.292067i \(-0.905657\pi\)
0.497563 + 0.867428i \(0.334228\pi\)
\(380\) 88.4752 + 20.1939i 4.53868 + 1.03593i
\(381\) 15.1258 + 9.53256i 0.774920 + 0.488368i
\(382\) −57.4817 + 27.6817i −2.94102 + 1.41632i
\(383\) −10.6536 + 27.1448i −0.544371 + 1.38704i 0.348749 + 0.937216i \(0.386607\pi\)
−0.893120 + 0.449819i \(0.851489\pi\)
\(384\) 33.9660 + 11.9365i 1.73332 + 0.609130i
\(385\) −7.75919 0.179924i −0.395445 0.00916975i
\(386\) −10.8786 22.5897i −0.553708 1.14979i
\(387\) −6.06764 19.8601i −0.308435 1.00955i
\(388\) −1.58780 1.71124i −0.0806082 0.0868750i
\(389\) 5.26974 + 7.72928i 0.267186 + 0.391890i 0.936261 0.351305i \(-0.114262\pi\)
−0.669075 + 0.743195i \(0.733310\pi\)
\(390\) 56.0828 + 35.3443i 2.83986 + 1.78973i
\(391\) 0.607269 + 0.350607i 0.0307109 + 0.0177310i
\(392\) 59.7125 10.7444i 3.01594 0.542675i
\(393\) 2.47840 1.82400i 0.125019 0.0920089i
\(394\) 31.7372 39.7972i 1.59890 2.00495i
\(395\) −2.33360 31.1397i −0.117416 1.56681i
\(396\) −1.39795 + 18.0050i −0.0702498 + 0.904788i
\(397\) 12.4491 + 18.2595i 0.624802 + 0.916416i 0.999944 0.0105513i \(-0.00335864\pi\)
−0.375143 + 0.926967i \(0.622406\pi\)
\(398\) −14.7213 10.0368i −0.737913 0.503101i
\(399\) −7.34863 30.3880i −0.367892 1.52130i
\(400\) 15.7334 10.7269i 0.786672 0.536344i
\(401\) −26.5033 10.4018i −1.32351 0.519439i −0.404812 0.914400i \(-0.632663\pi\)
−0.918698 + 0.394960i \(0.870758\pi\)
\(402\) −32.5284 + 20.3780i −1.62237 + 1.01636i
\(403\) −17.1329 43.6540i −0.853451 2.17456i
\(404\) 9.24366 + 8.57687i 0.459889 + 0.426715i
\(405\) 21.9321 6.63629i 1.08981 0.329760i
\(406\) −22.1731 25.0368i −1.10043 1.24256i
\(407\) −0.858657 0.336998i −0.0425621 0.0167044i
\(408\) 40.4790 + 21.4634i 2.00401 + 1.06260i
\(409\) −5.01598 1.14487i −0.248024 0.0566099i 0.0967012 0.995313i \(-0.469171\pi\)
−0.344726 + 0.938704i \(0.612028\pi\)
\(410\) 41.0167i 2.02567i
\(411\) −5.68921 + 12.9922i −0.280628 + 0.640856i
\(412\) 2.48804 + 8.06604i 0.122577 + 0.397385i
\(413\) 0.596180 25.7102i 0.0293361 1.26512i
\(414\) −1.04775 + 1.52793i −0.0514942 + 0.0750938i
\(415\) −2.18815 0.674953i −0.107412 0.0331322i
\(416\) −95.1070 + 14.3351i −4.66300 + 0.702835i
\(417\) 5.94495 1.58439i 0.291125 0.0775877i
\(418\) −14.3709 15.4881i −0.702903 0.757550i
\(419\) −0.803624 0.247885i −0.0392596 0.0121100i 0.275063 0.961426i \(-0.411301\pi\)
−0.314323 + 0.949316i \(0.601777\pi\)
\(420\) −53.1784 29.7966i −2.59484 1.45392i
\(421\) 38.3996 11.8447i 1.87148 0.577276i 0.876001 0.482309i \(-0.160202\pi\)
0.995480 0.0949666i \(-0.0302744\pi\)
\(422\) −15.6456 9.03297i −0.761614 0.439718i
\(423\) −8.33602 + 1.87909i −0.405311 + 0.0913645i
\(424\) 78.5033 24.2151i 3.81246 1.17599i
\(425\) 4.07563 1.96272i 0.197697 0.0952058i
\(426\) 22.8353 22.7740i 1.10637 1.10340i
\(427\) 18.1886 21.7535i 0.880210 1.05273i
\(428\) 46.6704 18.3168i 2.25590 0.885376i
\(429\) −4.44951 10.2359i −0.214825 0.494194i
\(430\) 44.0958 17.3063i 2.12649 0.834585i
\(431\) −13.7706 + 20.1978i −0.663306 + 0.972892i 0.336210 + 0.941787i \(0.390855\pi\)
−0.999516 + 0.0311045i \(0.990098\pi\)
\(432\) −35.7445 + 56.3813i −1.71976 + 2.71265i
\(433\) −3.68506 + 7.65211i −0.177093 + 0.367737i −0.970554 0.240884i \(-0.922563\pi\)
0.793461 + 0.608621i \(0.208277\pi\)
\(434\) 24.6200 + 54.3100i 1.18180 + 2.60696i
\(435\) 0.747599 + 20.7252i 0.0358446 + 0.993696i
\(436\) 0.139923 + 1.86715i 0.00670112 + 0.0894202i
\(437\) −0.348797 1.52818i −0.0166852 0.0731027i
\(438\) 21.6415 4.06469i 1.03407 0.194218i
\(439\) 3.73513 + 2.97867i 0.178268 + 0.142164i 0.708559 0.705652i \(-0.249346\pi\)
−0.530291 + 0.847816i \(0.677917\pi\)
\(440\) −25.4255 −1.21212
\(441\) −1.02976 + 20.9747i −0.0490360 + 0.998797i
\(442\) −45.8793 −2.18225
\(443\) −9.16163 7.30616i −0.435282 0.347126i 0.381204 0.924491i \(-0.375510\pi\)
−0.816486 + 0.577365i \(0.804081\pi\)
\(444\) −4.71825 5.49763i −0.223918 0.260906i
\(445\) 0.174691 + 0.765370i 0.00828113 + 0.0362820i
\(446\) −4.37598 58.3934i −0.207209 2.76501i
\(447\) 13.9944 + 7.42034i 0.661913 + 0.350970i
\(448\) 53.2204 10.8557i 2.51443 0.512882i
\(449\) −10.2470 + 21.2781i −0.483585 + 1.00417i 0.506307 + 0.862353i \(0.331010\pi\)
−0.989892 + 0.141822i \(0.954704\pi\)
\(450\) 4.33654 + 11.1372i 0.204427 + 0.525014i
\(451\) −3.89020 + 5.70587i −0.183182 + 0.268679i
\(452\) −3.59905 + 1.41252i −0.169285 + 0.0664395i
\(453\) 17.6094 23.7930i 0.827363 1.11789i
\(454\) 16.7009 6.55463i 0.783814 0.307624i
\(455\) 37.6633 + 0.873355i 1.76568 + 0.0409435i
\(456\) −26.3751 98.9647i −1.23513 4.63445i
\(457\) −5.94214 + 2.86158i −0.277962 + 0.133859i −0.567671 0.823255i \(-0.692156\pi\)
0.289710 + 0.957115i \(0.406441\pi\)
\(458\) −64.3012 + 19.8343i −3.00460 + 0.926796i
\(459\) −10.3927 + 11.9786i −0.485091 + 0.559112i
\(460\) −2.64676 1.52811i −0.123406 0.0712483i
\(461\) −7.73840 + 2.38698i −0.360413 + 0.111173i −0.469673 0.882840i \(-0.655628\pi\)
0.109260 + 0.994013i \(0.465152\pi\)
\(462\) 6.32171 + 12.7061i 0.294112 + 0.591143i
\(463\) 2.06592 + 0.637251i 0.0960114 + 0.0296156i 0.342389 0.939558i \(-0.388764\pi\)
−0.246377 + 0.969174i \(0.579240\pi\)
\(464\) −41.0956 44.2905i −1.90781 2.05613i
\(465\) 9.61825 35.7039i 0.446036 1.65573i
\(466\) 26.7883 4.03769i 1.24095 0.187042i
\(467\) 26.6810 + 8.23001i 1.23465 + 0.380839i 0.842317 0.538983i \(-0.181191\pi\)
0.392335 + 0.919823i \(0.371668\pi\)
\(468\) 6.78571 87.3971i 0.313670 4.03993i
\(469\) −9.91782 + 19.4290i −0.457962 + 0.897150i
\(470\) −5.74553 18.6265i −0.265021 0.859178i
\(471\) −1.69690 + 0.188886i −0.0781888 + 0.00870340i
\(472\) 84.2480i 3.87783i
\(473\) −7.77560 1.77473i −0.357523 0.0816022i
\(474\) −48.3890 + 30.3142i −2.22258 + 1.39238i
\(475\) −9.41296 3.69431i −0.431896 0.169507i
\(476\) 42.1316 2.17658i 1.93110 0.0997633i
\(477\) 2.04878 + 28.3615i 0.0938071 + 1.29858i
\(478\) 38.5569 + 35.7756i 1.76355 + 1.63634i
\(479\) −8.97381 22.8649i −0.410024 1.04472i −0.975508 0.219965i \(-0.929406\pi\)
0.565484 0.824759i \(-0.308689\pi\)
\(480\) −67.0017 35.5267i −3.05820 1.62156i
\(481\) 4.16795 + 1.63580i 0.190042 + 0.0745860i
\(482\) −50.3190 + 34.3069i −2.29197 + 1.56264i
\(483\) −0.0651606 + 1.05086i −0.00296491 + 0.0478157i
\(484\) −41.7540 28.4674i −1.89791 1.29397i
\(485\) 0.640821 + 0.939912i 0.0290982 + 0.0426792i
\(486\) −29.4279 29.8259i −1.33487 1.35293i
\(487\) 1.34374 + 17.9309i 0.0608906 + 0.812528i 0.941140 + 0.338017i \(0.109756\pi\)
−0.880249 + 0.474511i \(0.842625\pi\)
\(488\) 57.9170 72.6257i 2.62178 3.28761i
\(489\) −23.8557 10.4463i −1.07879 0.472398i
\(490\) −47.8840 + 1.36177i −2.16318 + 0.0615184i
\(491\) 30.6185 + 17.6776i 1.38179 + 0.797779i 0.992372 0.123281i \(-0.0393415\pi\)
0.389422 + 0.921059i \(0.372675\pi\)
\(492\) −47.9872 + 25.2796i −2.16343 + 1.13969i
\(493\) −8.08532 11.8590i −0.364145 0.534102i
\(494\) 69.7568 + 75.1799i 3.13851 + 3.38251i
\(495\) 1.98133 8.57452i 0.0890543 0.385396i
\(496\) 46.7409 + 97.0584i 2.09873 + 4.35805i
\(497\) 4.49155 17.7693i 0.201473 0.797063i
\(498\) 0.772914 + 4.11521i 0.0346351 + 0.184407i
\(499\) 0.106691 0.271844i 0.00477615 0.0121694i −0.928466 0.371418i \(-0.878872\pi\)
0.933242 + 0.359249i \(0.116967\pi\)
\(500\) 42.1598 20.3031i 1.88544 0.907982i
\(501\) 18.1179 9.54448i 0.809449 0.426416i
\(502\) −10.6120 2.42212i −0.473636 0.108104i
\(503\) −12.0526 + 15.1134i −0.537398 + 0.673875i −0.974201 0.225682i \(-0.927539\pi\)
0.436803 + 0.899557i \(0.356111\pi\)
\(504\) −1.77962 + 68.7719i −0.0792706 + 3.06335i
\(505\) −3.83129 4.80428i −0.170490 0.213788i
\(506\) 0.308725 + 0.641074i 0.0137245 + 0.0284992i
\(507\) 12.6216 + 29.0354i 0.560545 + 1.28951i
\(508\) 53.9310 2.39280
\(509\) 8.86079 + 15.3473i 0.392748 + 0.680259i 0.992811 0.119694i \(-0.0381912\pi\)
−0.600063 + 0.799953i \(0.704858\pi\)
\(510\) −29.0777 21.5207i −1.28758 0.952952i
\(511\) 9.36827 8.29674i 0.414428 0.367026i
\(512\) −1.71886 + 0.392319i −0.0759638 + 0.0173382i
\(513\) 35.4302 1.18272i 1.56428 0.0522185i
\(514\) 58.3510 + 22.9011i 2.57375 + 1.01012i
\(515\) −0.613072 4.06747i −0.0270152 0.179234i
\(516\) −47.4246 40.9232i −2.08775 1.80154i
\(517\) −0.967353 + 3.13608i −0.0425441 + 0.137925i
\(518\) −5.39998 1.80379i −0.237261 0.0792540i
\(519\) 26.4037 + 3.01092i 1.15900 + 0.132165i
\(520\) 123.416 5.41217
\(521\) 6.89123 + 11.9360i 0.301910 + 0.522924i 0.976569 0.215206i \(-0.0690424\pi\)
−0.674658 + 0.738130i \(0.735709\pi\)
\(522\) 32.8920 18.8726i 1.43964 0.826029i
\(523\) −28.2754 2.11895i −1.23640 0.0926551i −0.559561 0.828789i \(-0.689030\pi\)
−0.676836 + 0.736134i \(0.736649\pi\)
\(524\) 3.39122 8.64068i 0.148146 0.377470i
\(525\) 5.36444 + 4.16617i 0.234123 + 0.181827i
\(526\) 11.1554 + 28.4236i 0.486400 + 1.23933i
\(527\) 7.54313 + 24.4542i 0.328584 + 1.06524i
\(528\) 11.9498 + 22.6839i 0.520049 + 0.987188i
\(529\) 1.71485 22.8830i 0.0745586 0.994915i
\(530\) −64.1399 + 9.66753i −2.78606 + 0.419931i
\(531\) 28.4118 + 6.56518i 1.23297 + 0.284905i
\(532\) −67.6253 65.7295i −2.93193 2.84974i
\(533\) 18.8831 27.6965i 0.817919 1.19967i
\(534\) 1.08933 0.934902i 0.0471401 0.0404572i
\(535\) −23.8193 + 5.43660i −1.02980 + 0.235045i
\(536\) −31.0060 + 64.3847i −1.33926 + 2.78099i
\(537\) −25.5758 0.991390i −1.10368 0.0427816i
\(538\) 23.9301 13.8161i 1.03170 0.595653i
\(539\) 6.79034 + 4.35208i 0.292481 + 0.187457i
\(540\) 45.2962 52.2081i 1.94924 2.24668i
\(541\) −7.43256 18.9378i −0.319551 0.814202i −0.996910 0.0785496i \(-0.974971\pi\)
0.677360 0.735652i \(-0.263124\pi\)
\(542\) −2.30928 + 1.57444i −0.0991921 + 0.0676280i
\(543\) 12.2490 + 35.1571i 0.525655 + 1.50874i
\(544\) 52.3397 3.92232i 2.24405 0.168168i
\(545\) 0.0681861 0.909881i 0.00292077 0.0389750i
\(546\) −30.6858 61.6760i −1.31323 2.63949i
\(547\) −0.394823 5.26855i −0.0168814 0.225267i −0.999263 0.0383816i \(-0.987780\pi\)
0.982382 0.186885i \(-0.0598393\pi\)
\(548\) 6.37644 + 42.3049i 0.272388 + 1.80718i
\(549\) 19.9790 + 25.1914i 0.852683 + 1.07514i
\(550\) 4.53894 + 0.684135i 0.193541 + 0.0291716i
\(551\) −7.13944 + 31.2799i −0.304150 + 1.33257i
\(552\) −0.133599 + 3.44658i −0.00568636 + 0.146696i
\(553\) −14.7537 + 28.9025i −0.627389 + 1.22906i
\(554\) 4.90520 + 32.5439i 0.208402 + 1.38266i
\(555\) 1.87428 + 2.99182i 0.0795588 + 0.126996i
\(556\) 12.6230 13.6043i 0.535333 0.576952i
\(557\) −1.95860 + 1.13080i −0.0829884 + 0.0479134i −0.540920 0.841074i \(-0.681924\pi\)
0.457932 + 0.888987i \(0.348590\pi\)
\(558\) −65.9588 + 14.8683i −2.79226 + 0.629426i
\(559\) 37.7430 + 8.61460i 1.59636 + 0.364359i
\(560\) −86.4266 + 4.46492i −3.65219 + 0.188677i
\(561\) 2.00390 + 5.75160i 0.0846048 + 0.242833i
\(562\) −2.36252 + 2.19210i −0.0996568 + 0.0924680i
\(563\) −17.2870 21.6772i −0.728560 0.913585i 0.270229 0.962796i \(-0.412901\pi\)
−0.998788 + 0.0492110i \(0.984329\pi\)
\(564\) −18.2509 + 18.2019i −0.768500 + 0.766438i
\(565\) 1.83686 0.419251i 0.0772772 0.0176380i
\(566\) 7.52919 + 32.9875i 0.316475 + 1.38657i
\(567\) −23.0540 5.95934i −0.968176 0.250269i
\(568\) 13.3607 58.5369i 0.560601 2.45615i
\(569\) 34.2940i 1.43768i 0.695175 + 0.718840i \(0.255327\pi\)
−0.695175 + 0.718840i \(0.744673\pi\)
\(570\) 8.94608 + 80.3690i 0.374710 + 3.36629i
\(571\) −3.34948 + 14.6750i −0.140171 + 0.614130i 0.855223 + 0.518261i \(0.173420\pi\)
−0.995394 + 0.0958696i \(0.969437\pi\)
\(572\) −27.8170 18.9653i −1.16309 0.792978i
\(573\) −29.0318 29.1099i −1.21282 1.21608i
\(574\) −22.1618 + 36.4091i −0.925015 + 1.51969i
\(575\) 0.266246 + 0.212324i 0.0111032 + 0.00885451i
\(576\) −0.165492 + 61.5887i −0.00689548 + 2.56619i
\(577\) 0.248914 1.65143i 0.0103624 0.0687501i −0.983052 0.183327i \(-0.941313\pi\)
0.993414 + 0.114577i \(0.0365513\pi\)
\(578\) −20.5995 1.54372i −0.856825 0.0642102i
\(579\) 11.4399 11.4092i 0.475425 0.474150i
\(580\) 35.2395 + 51.6869i 1.46324 + 2.14618i
\(581\) 1.57765 + 1.78141i 0.0654521 + 0.0739053i
\(582\) 0.974447 1.83776i 0.0403921 0.0761777i
\(583\) 9.83945 + 4.73843i 0.407508 + 0.196246i
\(584\) 30.0517 27.8839i 1.24355 1.15384i
\(585\) −9.61745 + 41.6210i −0.397633 + 1.72082i
\(586\) −63.7021 + 25.0012i −2.63151 + 1.03279i
\(587\) −9.42287 16.3209i −0.388923 0.673635i 0.603382 0.797453i \(-0.293820\pi\)
−0.992305 + 0.123817i \(0.960486\pi\)
\(588\) 31.1052 + 55.1822i 1.28276 + 2.27568i
\(589\) 28.6029 49.5418i 1.17856 2.04133i
\(590\) −9.91405 + 65.7754i −0.408155 + 2.70793i
\(591\) 30.9461 + 10.8752i 1.27295 + 0.447346i
\(592\) −9.82847 3.03168i −0.403948 0.124601i
\(593\) 27.4561 18.7192i 1.12749 0.768707i 0.151915 0.988394i \(-0.451456\pi\)
0.975570 + 0.219687i \(0.0705036\pi\)
\(594\) −15.5604 + 4.10226i −0.638452 + 0.168318i
\(595\) −20.4599 2.01119i −0.838776 0.0824508i
\(596\) 47.6467 3.57063i 1.95169 0.146259i
\(597\) 2.98650 11.0862i 0.122229 0.453726i
\(598\) −1.49856 3.11179i −0.0612807 0.127251i
\(599\) 23.0800 + 18.4057i 0.943023 + 0.752035i 0.968854 0.247631i \(-0.0796520\pi\)
−0.0258319 + 0.999666i \(0.508223\pi\)
\(600\) 17.8853 + 13.2371i 0.730164 + 0.540403i
\(601\) 2.88277 19.1260i 0.117591 0.780164i −0.849842 0.527037i \(-0.823303\pi\)
0.967433 0.253127i \(-0.0814590\pi\)
\(602\) −48.4931 8.46321i −1.97643 0.344935i
\(603\) −19.2969 15.4738i −0.785831 0.630141i
\(604\) 6.67253 89.0388i 0.271502 3.62294i
\(605\) 18.0523 + 16.7501i 0.733930 + 0.680988i
\(606\) −4.50713 + 10.2927i −0.183090 + 0.418113i
\(607\) 6.09997 3.52182i 0.247590 0.142946i −0.371070 0.928605i \(-0.621009\pi\)
0.618660 + 0.785659i \(0.287676\pi\)
\(608\) −86.0069 79.8027i −3.48804 3.23643i
\(609\) 10.5344 18.8009i 0.426876 0.761852i
\(610\) −53.7642 + 49.8859i −2.17685 + 2.01982i
\(611\) 4.69556 15.2226i 0.189962 0.615842i
\(612\) −7.25673 + 47.2828i −0.293336 + 1.91130i
\(613\) 10.5753 26.9453i 0.427131 1.08831i −0.541697 0.840574i \(-0.682218\pi\)
0.968827 0.247737i \(-0.0796869\pi\)
\(614\) −3.86350 16.9271i −0.155918 0.683121i
\(615\) 24.9595 8.69609i 1.00647 0.350660i
\(616\) 22.5693 + 13.7377i 0.909345 + 0.553507i
\(617\) −4.38992 + 4.73121i −0.176732 + 0.190471i −0.815205 0.579172i \(-0.803376\pi\)
0.638473 + 0.769644i \(0.279566\pi\)
\(618\) −6.05785 + 4.45834i −0.243683 + 0.179341i
\(619\) 8.97698 + 5.18286i 0.360815 + 0.208317i 0.669438 0.742868i \(-0.266535\pi\)
−0.308623 + 0.951184i \(0.599868\pi\)
\(620\) −32.8764 106.583i −1.32035 4.28046i
\(621\) −1.15192 0.313636i −0.0462248 0.0125858i
\(622\) −40.2330 + 32.0848i −1.61320 + 1.28648i
\(623\) 0.258471 0.773778i 0.0103554 0.0310008i
\(624\) −58.0048 110.108i −2.32205 4.40786i
\(625\) −28.8717 + 8.90575i −1.15487 + 0.356230i
\(626\) −30.5245 + 38.2765i −1.22000 + 1.52983i
\(627\) 6.37803 12.0287i 0.254714 0.480379i
\(628\) −4.02658 + 3.21109i −0.160678 + 0.128136i
\(629\) −2.20140 1.06014i −0.0877755 0.0422704i
\(630\) 9.48228 53.4833i 0.377783 2.13082i
\(631\) 35.8251 17.2525i 1.42618 0.686810i 0.447894 0.894087i \(-0.352174\pi\)
0.978282 + 0.207277i \(0.0664601\pi\)
\(632\) −46.1243 + 95.7781i −1.83473 + 3.80985i
\(633\) 2.17968 11.4357i 0.0866345 0.454530i
\(634\) −3.89619 1.87631i −0.154738 0.0745177i
\(635\) −25.9876 3.91700i −1.03129 0.155442i
\(636\) 50.8413 + 69.0816i 2.01599 + 2.73926i
\(637\) −32.9605 21.1251i −1.30594 0.837008i
\(638\) 14.5643i 0.576607i
\(639\) 18.6998 + 9.06734i 0.739754 + 0.358699i
\(640\) −52.7733 + 3.95481i −2.08605 + 0.156328i
\(641\) 7.68190 24.9041i 0.303417 0.983654i −0.667575 0.744542i \(-0.732668\pi\)
0.970992 0.239111i \(-0.0768561\pi\)
\(642\) 29.0954 + 33.9015i 1.14830 + 1.33799i
\(643\) −31.8368 2.38584i −1.25552 0.0940883i −0.569697 0.821855i \(-0.692939\pi\)
−0.685825 + 0.727767i \(0.740558\pi\)
\(644\) 1.52378 + 2.78651i 0.0600453 + 0.109804i
\(645\) 19.8801 + 23.1640i 0.782780 + 0.912082i
\(646\) −34.8942 43.7560i −1.37290 1.72156i
\(647\) −27.7965 18.9514i −1.09280 0.745055i −0.123843 0.992302i \(-0.539522\pi\)
−0.968953 + 0.247247i \(0.920474\pi\)
\(648\) −75.9560 17.7665i −2.98383 0.697932i
\(649\) 7.61756 8.20978i 0.299015 0.322262i
\(650\) −22.0322 3.32081i −0.864172 0.130253i
\(651\) −27.8290 + 26.4962i −1.09070 + 1.03847i
\(652\) −77.6786 + 11.7082i −3.04213 + 0.458527i
\(653\) 16.5111 24.2174i 0.646130 0.947699i −0.353793 0.935324i \(-0.615108\pi\)
0.999923 0.0123752i \(-0.00393925\pi\)
\(654\) −1.53012 + 0.665137i −0.0598322 + 0.0260089i
\(655\) −2.26169 + 3.91736i −0.0883715 + 0.153064i
\(656\) −38.5017 + 66.6868i −1.50324 + 2.60368i
\(657\) 7.06173 + 12.3075i 0.275504 + 0.480163i
\(658\) −4.96401 + 19.6385i −0.193517 + 0.765588i
\(659\) −20.1585 21.7257i −0.785265 0.846315i 0.205951 0.978562i \(-0.433971\pi\)
−0.991217 + 0.132248i \(0.957781\pi\)
\(660\) −8.73392 25.0681i −0.339967 0.975774i
\(661\) −39.5900 + 31.5720i −1.53987 + 1.22801i −0.661592 + 0.749864i \(0.730119\pi\)
−0.878281 + 0.478144i \(0.841310\pi\)
\(662\) 27.1050 21.6155i 1.05346 0.840110i
\(663\) −9.72701 27.9185i −0.377766 1.08426i
\(664\) 5.30222 + 5.71443i 0.205766 + 0.221763i
\(665\) 27.8125 + 36.5845i 1.07852 + 1.41869i
\(666\) 3.24280 5.58199i 0.125656 0.216298i
\(667\) 0.540253 0.935745i 0.0209187 0.0362322i
\(668\) 30.8856 53.4954i 1.19500 2.06980i
\(669\) 34.6058 15.0430i 1.33794 0.581597i
\(670\) 31.7841 46.6187i 1.22793 1.80104i
\(671\) 12.2106 1.84045i 0.471384 0.0710497i
\(672\) 40.2796 + 67.7375i 1.55382 + 2.61303i
\(673\) −20.6904 3.11857i −0.797555 0.120212i −0.262392 0.964961i \(-0.584511\pi\)
−0.535162 + 0.844749i \(0.679750\pi\)
\(674\) −2.92705 + 3.15461i −0.112746 + 0.121511i
\(675\) −5.85783 + 5.00012i −0.225468 + 0.192455i
\(676\) 78.9062 + 53.7973i 3.03485 + 2.06913i
\(677\) 9.96336 + 12.4937i 0.382923 + 0.480170i 0.935518 0.353280i \(-0.114934\pi\)
−0.552595 + 0.833450i \(0.686362\pi\)
\(678\) −2.24373 2.61436i −0.0861700 0.100404i
\(679\) −0.0609899 1.18057i −0.00234058 0.0453061i
\(680\) −67.1605 5.03298i −2.57549 0.193006i
\(681\) 7.52945 + 8.77319i 0.288529 + 0.336189i
\(682\) −7.65419 + 24.8143i −0.293094 + 0.950188i
\(683\) −28.8072 + 2.15880i −1.10228 + 0.0826042i −0.613418 0.789759i \(-0.710206\pi\)
−0.488859 + 0.872363i \(0.662587\pi\)
\(684\) 88.5134 59.9996i 3.38439 2.29414i
\(685\) 20.8485i 0.796580i
\(686\) 43.2407 + 24.6634i 1.65094 + 0.941655i
\(687\) −25.7023 34.9235i −0.980603 1.33241i
\(688\) −87.9380 13.2545i −3.35261 0.505324i
\(689\) −47.7610 23.0005i −1.81955 0.876249i
\(690\) 0.509889 2.67515i 0.0194111 0.101841i
\(691\) 2.08025 4.31969i 0.0791365 0.164329i −0.857646 0.514240i \(-0.828074\pi\)
0.936783 + 0.349911i \(0.113788\pi\)
\(692\) 72.2229 34.7807i 2.74550 1.32216i
\(693\) −6.39166 + 6.54076i −0.242799 + 0.248463i
\(694\) −49.5128 23.8441i −1.87948 0.905111i
\(695\) −7.07068 + 5.63868i −0.268206 + 0.213887i
\(696\) 33.0731 62.3744i 1.25363 2.36430i
\(697\) −11.4053 + 14.3017i −0.432005 + 0.541717i
\(698\) −8.28733 + 2.55630i −0.313680 + 0.0967574i
\(699\) 8.13650 + 15.4452i 0.307751 + 0.584191i
\(700\) 20.3900 + 2.00432i 0.770670 + 0.0757560i
\(701\) −32.8621 + 26.2066i −1.24118 + 0.989811i −0.241371 + 0.970433i \(0.577597\pi\)
−0.999812 + 0.0193780i \(0.993831\pi\)
\(702\) 75.5309 19.9125i 2.85073 0.751549i
\(703\) 1.60991 + 5.21919i 0.0607188 + 0.196846i
\(704\) 20.4850 + 11.8270i 0.772056 + 0.445747i
\(705\) 10.1165 7.44534i 0.381009 0.280408i
\(706\) 38.0777 41.0380i 1.43307 1.54448i
\(707\) 0.805093 + 6.33467i 0.0302786 + 0.238240i
\(708\) 83.0636 28.9400i 3.12172 1.08763i
\(709\) 2.24004 + 9.81427i 0.0841266 + 0.368583i 0.999414 0.0342179i \(-0.0108940\pi\)
−0.915288 + 0.402800i \(0.868037\pi\)
\(710\) −17.3196 + 44.1296i −0.649992 + 1.65615i
\(711\) −28.7059 23.0187i −1.07656 0.863267i
\(712\) 0.787745 2.55381i 0.0295220 0.0957080i
\(713\) −1.41224 + 1.31037i −0.0528889 + 0.0490737i
\(714\) 14.1833 + 34.8141i 0.530798 + 1.30289i
\(715\) 12.0266 + 11.1591i 0.449771 + 0.417326i
\(716\) −66.8621 + 38.6029i −2.49875 + 1.44266i
\(717\) −13.5956 + 31.0475i −0.507737 + 1.15949i
\(718\) 59.2383 + 54.9651i 2.21075 + 2.05128i
\(719\) 2.62268 34.9972i 0.0978095 1.30518i −0.705114 0.709094i \(-0.749104\pi\)
0.802923 0.596083i \(-0.203277\pi\)
\(720\) 14.8861 96.9935i 0.554771 3.61474i
\(721\) −1.65349 + 3.94180i −0.0615793 + 0.146800i
\(722\) −11.0344 + 73.2088i −0.410659 + 2.72455i
\(723\) −31.5447 23.3466i −1.17316 0.868269i
\(724\) 87.8008 + 70.0188i 3.26309 + 2.60223i
\(725\) −3.02437 6.28016i −0.112322 0.233239i
\(726\) 11.7131 43.4803i 0.434715 1.61370i
\(727\) 32.1783 2.41143i 1.19343 0.0894351i 0.536840 0.843684i \(-0.319618\pi\)
0.656588 + 0.754249i \(0.271999\pi\)
\(728\) −109.552 66.6832i −4.06028 2.47144i
\(729\) 11.9106 24.2309i 0.441132 0.897442i
\(730\) −26.7437 + 18.2335i −0.989828 + 0.674854i
\(731\) −20.1876 6.22705i −0.746666 0.230316i
\(732\) 91.4997 + 32.1552i 3.38193 + 1.18849i
\(733\) −0.617825 + 4.09900i −0.0228199 + 0.151400i −0.997339 0.0729049i \(-0.976773\pi\)
0.974519 + 0.224305i \(0.0720111\pi\)
\(734\) 11.7590 20.3672i 0.434034 0.751768i
\(735\) −10.9807 28.8497i −0.405030 1.06414i
\(736\) 1.97562 + 3.42187i 0.0728221 + 0.126132i
\(737\) −8.84301 + 3.47063i −0.325737 + 0.127842i
\(738\) −35.3404 32.9682i −1.30090 1.21358i
\(739\) 3.52805 3.27355i 0.129781 0.120419i −0.612612 0.790384i \(-0.709881\pi\)
0.742393 + 0.669964i \(0.233691\pi\)
\(740\) 9.59469 + 4.62056i 0.352708 + 0.169855i
\(741\) −30.9592 + 58.3876i −1.13731 + 2.14492i
\(742\) 62.1581 + 26.0739i 2.28190 + 0.957204i
\(743\) 4.00513 + 5.87445i 0.146934 + 0.215513i 0.892649 0.450752i \(-0.148844\pi\)
−0.745715 + 0.666265i \(0.767892\pi\)
\(744\) −89.1296 + 88.8904i −3.26765 + 3.25888i
\(745\) −23.2187 1.74000i −0.850669 0.0637488i
\(746\) 9.27218 61.5169i 0.339478 2.25229i
\(747\) −2.34032 + 1.34281i −0.0856278 + 0.0491309i
\(748\) 14.3640 + 11.4549i 0.525198 + 0.418832i
\(749\) 24.0810 + 8.04395i 0.879901 + 0.293919i
\(750\) 29.4444 + 29.5236i 1.07516 + 1.07805i
\(751\) −32.9799 22.4853i −1.20345 0.820501i −0.215690 0.976462i \(-0.569200\pi\)
−0.987763 + 0.155961i \(0.950152\pi\)
\(752\) −8.14306 + 35.6771i −0.296947 + 1.30101i
\(753\) −0.775974 6.97113i −0.0282781 0.254042i
\(754\) 70.6957i 2.57458i
\(755\) −9.68215 + 42.4203i −0.352370 + 1.54383i
\(756\) −68.4164 + 21.8692i −2.48828 + 0.795376i
\(757\) −10.9865 48.1350i −0.399311 1.74950i −0.630119 0.776498i \(-0.716994\pi\)
0.230808 0.972999i \(-0.425863\pi\)
\(758\) −37.5428 + 8.56891i −1.36362 + 0.311237i
\(759\) −0.324653 + 0.323782i −0.0117842 + 0.0117525i
\(760\) 93.8664 + 117.705i 3.40489 + 4.26960i
\(761\) 0.849075 0.787826i 0.0307789 0.0285587i −0.664633 0.747170i \(-0.731412\pi\)
0.695412 + 0.718611i \(0.255222\pi\)
\(762\) 15.8111 + 45.3810i 0.572776 + 1.64398i
\(763\) −0.552144 + 0.770827i −0.0199890 + 0.0279058i
\(764\) −120.904 27.5955i −4.37415 0.998370i
\(765\) 6.93093 22.2570i 0.250588 0.804704i
\(766\) −67.8788 + 39.1899i −2.45256 + 1.41599i
\(767\) −36.9759 + 39.8505i −1.33512 + 1.43892i
\(768\) 13.6188 + 21.7390i 0.491428 + 0.784440i
\(769\) 7.11635 + 47.2139i 0.256622 + 1.70258i 0.631396 + 0.775461i \(0.282482\pi\)
−0.374774 + 0.927116i \(0.622280\pi\)
\(770\) −16.0041 13.3814i −0.576747 0.482232i
\(771\) −1.56459 + 40.3631i −0.0563473 + 1.45364i
\(772\) 10.8447 47.5139i 0.390311 1.71006i
\(773\) 15.9400 + 2.40257i 0.573322