Properties

Label 177.2.e.a.16.2
Level $177$
Weight $2$
Character 177.16
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 16.2
Character \(\chi\) \(=\) 177.16
Dual form 177.2.e.a.166.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.29523 - 0.285102i) q^{2} +(-0.161782 - 0.986827i) q^{3} +(-0.218809 - 0.101232i) q^{4} +(0.106655 + 0.384136i) q^{5} +(-0.0718011 + 1.32429i) q^{6} +(-2.67256 - 2.53159i) q^{7} +(2.36617 + 1.79871i) q^{8} +(-0.947653 + 0.319302i) q^{9} +O(q^{10})\) \(q+(-1.29523 - 0.285102i) q^{2} +(-0.161782 - 0.986827i) q^{3} +(-0.218809 - 0.101232i) q^{4} +(0.106655 + 0.384136i) q^{5} +(-0.0718011 + 1.32429i) q^{6} +(-2.67256 - 2.53159i) q^{7} +(2.36617 + 1.79871i) q^{8} +(-0.947653 + 0.319302i) q^{9} +(-0.0286247 - 0.527952i) q^{10} +(-2.09462 + 2.46597i) q^{11} +(-0.0644988 + 0.232304i) q^{12} +(-5.28494 - 1.78070i) q^{13} +(2.73983 + 4.04094i) q^{14} +(0.361820 - 0.167396i) q^{15} +(-2.23976 - 2.63685i) q^{16} +(0.872638 - 0.826606i) q^{17} +(1.31846 - 0.143392i) q^{18} +(-1.70286 + 4.27385i) q^{19} +(0.0155497 - 0.0948491i) q^{20} +(-2.06586 + 3.04692i) q^{21} +(3.41607 - 2.59683i) q^{22} +(-6.61815 - 0.719767i) q^{23} +(1.39221 - 2.62599i) q^{24} +(4.14810 - 2.49583i) q^{25} +(6.33754 + 3.81317i) q^{26} +(0.468408 + 0.883512i) q^{27} +(0.328503 + 0.824481i) q^{28} +(-1.60158 + 0.352535i) q^{29} +(-0.516366 + 0.113661i) q^{30} +(-3.12782 - 7.85025i) q^{31} +(-0.635193 - 1.19810i) q^{32} +(2.77236 + 1.66807i) q^{33} +(-1.36593 + 0.821856i) q^{34} +(0.687431 - 1.29663i) q^{35} +(0.239678 + 0.0260666i) q^{36} +(7.38620 - 5.61484i) q^{37} +(3.42408 - 5.05014i) q^{38} +(-0.902237 + 5.50340i) q^{39} +(-0.438587 + 1.10077i) q^{40} +(8.92679 - 0.970847i) q^{41} +(3.54446 - 3.35749i) q^{42} +(2.79150 + 3.28641i) q^{43} +(0.707955 - 0.327535i) q^{44} +(-0.223727 - 0.329972i) q^{45} +(8.36683 + 2.81911i) q^{46} +(1.31279 - 4.72825i) q^{47} +(-2.23976 + 2.63685i) q^{48} +(0.354692 + 6.54191i) q^{49} +(-6.08432 + 2.05005i) q^{50} +(-0.956894 - 0.727412i) q^{51} +(0.976127 + 0.924637i) q^{52} +(-0.143850 + 2.65315i) q^{53} +(-0.354806 - 1.27790i) q^{54} +(-1.17067 - 0.541609i) q^{55} +(-1.77013 - 10.7973i) q^{56} +(4.49304 + 0.988993i) q^{57} +2.17493 q^{58} +(-7.66485 - 0.500088i) q^{59} -0.0961153 q^{60} +(-2.76520 - 0.608666i) q^{61} +(1.81314 + 11.0596i) q^{62} +(3.34100 + 1.54571i) q^{63} +(2.33227 + 8.40009i) q^{64} +(0.120368 - 2.22005i) q^{65} +(-3.11528 - 2.95095i) q^{66} +(-7.07476 - 5.37809i) q^{67} +(-0.274620 + 0.0925301i) q^{68} +(0.360412 + 6.64741i) q^{69} +(-1.26006 + 1.48345i) q^{70} +(0.401964 - 1.44774i) q^{71} +(-2.81664 - 0.949035i) q^{72} +(-4.99290 - 7.36398i) q^{73} +(-11.1676 + 5.16670i) q^{74} +(-3.13404 - 3.68968i) q^{75} +(0.805249 - 0.762772i) q^{76} +(11.8408 - 1.28777i) q^{77} +(2.73764 - 6.87095i) q^{78} +(-0.276124 + 1.68428i) q^{79} +(0.774026 - 1.14160i) q^{80} +(0.796093 - 0.605174i) q^{81} +(-11.8391 - 1.28757i) q^{82} +(2.66160 - 5.02031i) q^{83} +(0.760474 - 0.457562i) q^{84} +(0.410600 + 0.247050i) q^{85} +(-2.67868 - 5.05253i) q^{86} +(0.606998 + 1.52345i) q^{87} +(-9.39179 + 2.06729i) q^{88} +(-17.8537 + 3.92989i) q^{89} +(0.195702 + 0.491176i) q^{90} +(9.61633 + 18.1383i) q^{91} +(1.37525 + 0.827458i) q^{92} +(-7.24081 + 4.35665i) q^{93} +(-3.04841 + 5.74990i) q^{94} +(-1.82336 - 0.198302i) q^{95} +(-1.07956 + 0.820657i) q^{96} +(-3.26329 + 4.81300i) q^{97} +(1.40570 - 8.57442i) q^{98} +(1.19758 - 3.00570i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + O(q^{10}) \) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + 88q^{10} - 14q^{11} - 9q^{12} - 12q^{13} - q^{14} - 2q^{15} - 41q^{16} - 16q^{17} - q^{18} - 10q^{19} - 32q^{20} + 27q^{21} - 26q^{22} - 22q^{23} - 9q^{24} + 27q^{25} - 56q^{26} - 5q^{27} - 50q^{28} - 24q^{29} - 28q^{30} - 24q^{31} + 106q^{32} - 14q^{33} - 54q^{34} - 70q^{35} - 9q^{36} - 28q^{37} - 80q^{38} - 12q^{39} - 50q^{40} - 40q^{41} - 30q^{42} + 4q^{43} - 104q^{44} - 2q^{45} - 28q^{46} + 31q^{47} - 41q^{48} - q^{49} + 39q^{50} - 16q^{51} + 62q^{52} + 4q^{53} - q^{54} + 5q^{55} + 96q^{56} - 10q^{57} + 128q^{58} - q^{59} - 32q^{60} - 16q^{61} + 223q^{62} - 2q^{63} + 97q^{64} + 121q^{65} - 26q^{66} - 12q^{67} + 10q^{68} + 36q^{69} - 2q^{70} - 22q^{71} - 9q^{72} + 179q^{73} - 38q^{74} - 31q^{75} + 112q^{76} - 62q^{77} - 56q^{78} - 84q^{79} + 204q^{80} - 5q^{81} - 152q^{82} - 88q^{83} + 95q^{84} - 118q^{85} - 118q^{86} + 34q^{87} + 18q^{88} - 86q^{89} - 28q^{90} + 78q^{91} - 174q^{92} - 24q^{93} - 164q^{94} + 218q^{95} - 39q^{96} - 84q^{97} + 129q^{98} - 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{2}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.29523 0.285102i −0.915867 0.201598i −0.268060 0.963402i \(-0.586383\pi\)
−0.647807 + 0.761805i \(0.724314\pi\)
\(3\) −0.161782 0.986827i −0.0934049 0.569745i
\(4\) −0.218809 0.101232i −0.109404 0.0506159i
\(5\) 0.106655 + 0.384136i 0.0476975 + 0.171791i 0.983563 0.180568i \(-0.0577935\pi\)
−0.935865 + 0.352359i \(0.885380\pi\)
\(6\) −0.0718011 + 1.32429i −0.0293127 + 0.540641i
\(7\) −2.67256 2.53159i −1.01013 0.956850i −0.0110627 0.999939i \(-0.503521\pi\)
−0.999071 + 0.0430891i \(0.986280\pi\)
\(8\) 2.36617 + 1.79871i 0.836566 + 0.635941i
\(9\) −0.947653 + 0.319302i −0.315884 + 0.106434i
\(10\) −0.0286247 0.527952i −0.00905194 0.166953i
\(11\) −2.09462 + 2.46597i −0.631551 + 0.743519i −0.981122 0.193391i \(-0.938051\pi\)
0.349571 + 0.936910i \(0.386327\pi\)
\(12\) −0.0644988 + 0.232304i −0.0186192 + 0.0670603i
\(13\) −5.28494 1.78070i −1.46578 0.493878i −0.530467 0.847705i \(-0.677984\pi\)
−0.935311 + 0.353827i \(0.884880\pi\)
\(14\) 2.73983 + 4.04094i 0.732250 + 1.07999i
\(15\) 0.361820 0.167396i 0.0934216 0.0432215i
\(16\) −2.23976 2.63685i −0.559939 0.659211i
\(17\) 0.872638 0.826606i 0.211646 0.200481i −0.574532 0.818482i \(-0.694816\pi\)
0.786177 + 0.618001i \(0.212057\pi\)
\(18\) 1.31846 0.143392i 0.310765 0.0337977i
\(19\) −1.70286 + 4.27385i −0.390662 + 0.980488i 0.593756 + 0.804645i \(0.297644\pi\)
−0.984418 + 0.175843i \(0.943735\pi\)
\(20\) 0.0155497 0.0948491i 0.00347702 0.0212089i
\(21\) −2.06586 + 3.04692i −0.450808 + 0.664893i
\(22\) 3.41607 2.59683i 0.728308 0.553646i
\(23\) −6.61815 0.719767i −1.37998 0.150082i −0.612152 0.790740i \(-0.709696\pi\)
−0.767826 + 0.640658i \(0.778662\pi\)
\(24\) 1.39221 2.62599i 0.284184 0.536029i
\(25\) 4.14810 2.49583i 0.829620 0.499166i
\(26\) 6.33754 + 3.81317i 1.24289 + 0.747824i
\(27\) 0.468408 + 0.883512i 0.0901452 + 0.170032i
\(28\) 0.328503 + 0.824481i 0.0620813 + 0.155812i
\(29\) −1.60158 + 0.352535i −0.297406 + 0.0654641i −0.361167 0.932501i \(-0.617622\pi\)
0.0637607 + 0.997965i \(0.479691\pi\)
\(30\) −0.516366 + 0.113661i −0.0942752 + 0.0207515i
\(31\) −3.12782 7.85025i −0.561774 1.40995i −0.885875 0.463924i \(-0.846441\pi\)
0.324101 0.946022i \(-0.394938\pi\)
\(32\) −0.635193 1.19810i −0.112287 0.211796i
\(33\) 2.77236 + 1.66807i 0.482606 + 0.290374i
\(34\) −1.36593 + 0.821856i −0.234256 + 0.140947i
\(35\) 0.687431 1.29663i 0.116197 0.219171i
\(36\) 0.239678 + 0.0260666i 0.0399464 + 0.00434443i
\(37\) 7.38620 5.61484i 1.21428 0.923074i 0.215709 0.976458i \(-0.430794\pi\)
0.998574 + 0.0533836i \(0.0170006\pi\)
\(38\) 3.42408 5.05014i 0.555459 0.819240i
\(39\) −0.902237 + 5.50340i −0.144474 + 0.881250i
\(40\) −0.438587 + 1.10077i −0.0693466 + 0.174047i
\(41\) 8.92679 0.970847i 1.39413 0.151621i 0.619977 0.784620i \(-0.287142\pi\)
0.774153 + 0.632999i \(0.218176\pi\)
\(42\) 3.54446 3.35749i 0.546921 0.518072i
\(43\) 2.79150 + 3.28641i 0.425700 + 0.501173i 0.932640 0.360809i \(-0.117499\pi\)
−0.506940 + 0.861981i \(0.669223\pi\)
\(44\) 0.707955 0.327535i 0.106728 0.0493778i
\(45\) −0.223727 0.329972i −0.0333512 0.0491894i
\(46\) 8.36683 + 2.81911i 1.23362 + 0.415655i
\(47\) 1.31279 4.72825i 0.191491 0.689687i −0.803983 0.594652i \(-0.797290\pi\)
0.995474 0.0950349i \(-0.0302963\pi\)
\(48\) −2.23976 + 2.63685i −0.323281 + 0.380596i
\(49\) 0.354692 + 6.54191i 0.0506703 + 0.934559i
\(50\) −6.08432 + 2.05005i −0.860453 + 0.289920i
\(51\) −0.956894 0.727412i −0.133992 0.101858i
\(52\) 0.976127 + 0.924637i 0.135365 + 0.128224i
\(53\) −0.143850 + 2.65315i −0.0197593 + 0.364439i 0.971887 + 0.235449i \(0.0756561\pi\)
−0.991646 + 0.128989i \(0.958827\pi\)
\(54\) −0.354806 1.27790i −0.0482830 0.173900i
\(55\) −1.17067 0.541609i −0.157853 0.0730306i
\(56\) −1.77013 10.7973i −0.236544 1.44285i
\(57\) 4.49304 + 0.988993i 0.595117 + 0.130995i
\(58\) 2.17493 0.285582
\(59\) −7.66485 0.500088i −0.997878 0.0651059i
\(60\) −0.0961153 −0.0124084
\(61\) −2.76520 0.608666i −0.354047 0.0779317i 0.0343857 0.999409i \(-0.489053\pi\)
−0.388433 + 0.921477i \(0.626984\pi\)
\(62\) 1.81314 + 11.0596i 0.230268 + 1.40458i
\(63\) 3.34100 + 1.54571i 0.420927 + 0.194741i
\(64\) 2.33227 + 8.40009i 0.291534 + 1.05001i
\(65\) 0.120368 2.22005i 0.0149298 0.275364i
\(66\) −3.11528 2.95095i −0.383464 0.363236i
\(67\) −7.07476 5.37809i −0.864320 0.657039i 0.0760830 0.997101i \(-0.475759\pi\)
−0.940403 + 0.340063i \(0.889552\pi\)
\(68\) −0.274620 + 0.0925301i −0.0333025 + 0.0112209i
\(69\) 0.360412 + 6.64741i 0.0433885 + 0.800254i
\(70\) −1.26006 + 1.48345i −0.150605 + 0.177306i
\(71\) 0.401964 1.44774i 0.0477044 0.171816i −0.935861 0.352371i \(-0.885376\pi\)
0.983565 + 0.180555i \(0.0577894\pi\)
\(72\) −2.81664 0.949035i −0.331944 0.111845i
\(73\) −4.99290 7.36398i −0.584375 0.861888i 0.414464 0.910066i \(-0.363969\pi\)
−0.998839 + 0.0481773i \(0.984659\pi\)
\(74\) −11.1676 + 5.16670i −1.29821 + 0.600617i
\(75\) −3.13404 3.68968i −0.361888 0.426047i
\(76\) 0.805249 0.762772i 0.0923684 0.0874960i
\(77\) 11.8408 1.28777i 1.34939 0.146755i
\(78\) 2.73764 6.87095i 0.309976 0.777982i
\(79\) −0.276124 + 1.68428i −0.0310663 + 0.189496i −0.997801 0.0662864i \(-0.978885\pi\)
0.966734 + 0.255783i \(0.0823332\pi\)
\(80\) 0.774026 1.14160i 0.0865387 0.127635i
\(81\) 0.796093 0.605174i 0.0884548 0.0672416i
\(82\) −11.8391 1.28757i −1.30740 0.142189i
\(83\) 2.66160 5.02031i 0.292149 0.551051i −0.693377 0.720575i \(-0.743878\pi\)
0.985526 + 0.169524i \(0.0542230\pi\)
\(84\) 0.760474 0.457562i 0.0829745 0.0499241i
\(85\) 0.410600 + 0.247050i 0.0445358 + 0.0267963i
\(86\) −2.67868 5.05253i −0.288849 0.544828i
\(87\) 0.606998 + 1.52345i 0.0650770 + 0.163331i
\(88\) −9.39179 + 2.06729i −1.00117 + 0.220374i
\(89\) −17.8537 + 3.92989i −1.89248 + 0.416567i −0.999442 0.0334038i \(-0.989365\pi\)
−0.893043 + 0.449971i \(0.851434\pi\)
\(90\) 0.195702 + 0.491176i 0.0206288 + 0.0517745i
\(91\) 9.61633 + 18.1383i 1.00807 + 1.90141i
\(92\) 1.37525 + 0.827458i 0.143379 + 0.0862684i
\(93\) −7.24081 + 4.35665i −0.750837 + 0.451763i
\(94\) −3.04841 + 5.74990i −0.314419 + 0.593057i
\(95\) −1.82336 0.198302i −0.187072 0.0203453i
\(96\) −1.07956 + 0.820657i −0.110182 + 0.0837580i
\(97\) −3.26329 + 4.81300i −0.331337 + 0.488686i −0.956469 0.291833i \(-0.905735\pi\)
0.625132 + 0.780519i \(0.285045\pi\)
\(98\) 1.40570 8.57442i 0.141998 0.866147i
\(99\) 1.19758 3.00570i 0.120361 0.302084i
\(100\) −1.16030 + 0.126190i −0.116030 + 0.0126190i
\(101\) −11.5672 + 10.9570i −1.15098 + 1.09026i −0.156249 + 0.987718i \(0.549940\pi\)
−0.994728 + 0.102546i \(0.967301\pi\)
\(102\) 1.03201 + 1.21498i 0.102184 + 0.120301i
\(103\) 5.35311 2.47661i 0.527458 0.244028i −0.138041 0.990426i \(-0.544081\pi\)
0.665499 + 0.746398i \(0.268219\pi\)
\(104\) −9.30207 13.7195i −0.912143 1.34531i
\(105\) −1.39077 0.468603i −0.135725 0.0457310i
\(106\) 0.942738 3.39544i 0.0915668 0.329794i
\(107\) 5.21993 6.14538i 0.504630 0.594096i −0.449578 0.893241i \(-0.648426\pi\)
0.954208 + 0.299145i \(0.0967014\pi\)
\(108\) −0.0130524 0.240738i −0.00125597 0.0231650i
\(109\) 10.4546 3.52255i 1.00137 0.337399i 0.229585 0.973288i \(-0.426263\pi\)
0.771781 + 0.635889i \(0.219366\pi\)
\(110\) 1.36187 + 1.03527i 0.129850 + 0.0987091i
\(111\) −6.73583 6.38051i −0.639336 0.605612i
\(112\) −0.689511 + 12.7173i −0.0651526 + 1.20167i
\(113\) 3.45278 + 12.4358i 0.324810 + 1.16986i 0.928097 + 0.372337i \(0.121444\pi\)
−0.603287 + 0.797524i \(0.706143\pi\)
\(114\) −5.53756 2.56195i −0.518640 0.239949i
\(115\) −0.429369 2.61903i −0.0400388 0.244226i
\(116\) 0.386128 + 0.0849932i 0.0358511 + 0.00789142i
\(117\) 5.57687 0.515582
\(118\) 9.78518 + 2.83299i 0.900799 + 0.260798i
\(119\) −4.42480 −0.405621
\(120\) 1.15722 + 0.254724i 0.105640 + 0.0232530i
\(121\) 0.0859959 + 0.524552i 0.00781781 + 0.0476865i
\(122\) 3.40804 + 1.57673i 0.308550 + 0.142750i
\(123\) −2.40225 8.65213i −0.216604 0.780136i
\(124\) −0.110299 + 2.03434i −0.00990511 + 0.182689i
\(125\) 2.84830 + 2.69806i 0.254760 + 0.241322i
\(126\) −3.88669 2.95458i −0.346254 0.263215i
\(127\) −3.37457 + 1.13702i −0.299445 + 0.100895i −0.465013 0.885304i \(-0.653951\pi\)
0.165569 + 0.986198i \(0.447054\pi\)
\(128\) −0.479119 8.83684i −0.0423486 0.781073i
\(129\) 2.79150 3.28641i 0.245778 0.289352i
\(130\) −0.788846 + 2.84117i −0.0691864 + 0.249187i
\(131\) 14.1472 + 4.76676i 1.23605 + 0.416474i 0.860081 0.510158i \(-0.170413\pi\)
0.375970 + 0.926632i \(0.377310\pi\)
\(132\) −0.437755 0.645640i −0.0381016 0.0561957i
\(133\) 15.3706 7.11120i 1.33280 0.616619i
\(134\) 7.63015 + 8.98291i 0.659145 + 0.776005i
\(135\) −0.289431 + 0.274163i −0.0249102 + 0.0235962i
\(136\) 3.55163 0.386263i 0.304550 0.0331218i
\(137\) 4.23038 10.6175i 0.361426 0.907110i −0.630019 0.776580i \(-0.716953\pi\)
0.991444 0.130530i \(-0.0416679\pi\)
\(138\) 1.42837 8.71269i 0.121591 0.741673i
\(139\) −2.29424 + 3.38374i −0.194595 + 0.287005i −0.912451 0.409185i \(-0.865813\pi\)
0.717857 + 0.696191i \(0.245123\pi\)
\(140\) −0.281676 + 0.214125i −0.0238060 + 0.0180968i
\(141\) −4.87835 0.530553i −0.410831 0.0446806i
\(142\) −0.933391 + 1.76056i −0.0783284 + 0.147743i
\(143\) 15.4611 9.30263i 1.29292 0.777925i
\(144\) 2.96446 + 1.78366i 0.247038 + 0.148638i
\(145\) −0.306237 0.577625i −0.0254316 0.0479692i
\(146\) 4.36748 + 10.9615i 0.361455 + 0.907184i
\(147\) 6.39835 1.40838i 0.527727 0.116162i
\(148\) −2.18456 + 0.480859i −0.179570 + 0.0395264i
\(149\) 0.583263 + 1.46388i 0.0477828 + 0.119926i 0.950931 0.309403i \(-0.100129\pi\)
−0.903148 + 0.429329i \(0.858750\pi\)
\(150\) 3.00737 + 5.67251i 0.245551 + 0.463158i
\(151\) 0.859222 + 0.516977i 0.0699225 + 0.0420710i 0.550086 0.835108i \(-0.314595\pi\)
−0.480163 + 0.877179i \(0.659423\pi\)
\(152\) −11.7167 + 7.04968i −0.950347 + 0.571805i
\(153\) −0.563021 + 1.06197i −0.0455176 + 0.0858552i
\(154\) −15.7038 1.70789i −1.26544 0.137625i
\(155\) 2.68196 2.03878i 0.215420 0.163758i
\(156\) 0.754536 1.11286i 0.0604113 0.0890999i
\(157\) 3.63134 22.1502i 0.289812 1.76778i −0.293919 0.955830i \(-0.594960\pi\)
0.583731 0.811947i \(-0.301592\pi\)
\(158\) 0.837836 2.10281i 0.0666546 0.167291i
\(159\) 2.64147 0.287278i 0.209482 0.0227826i
\(160\) 0.392487 0.371784i 0.0310288 0.0293921i
\(161\) 15.8653 + 18.6780i 1.25036 + 1.47203i
\(162\) −1.20366 + 0.556873i −0.0945686 + 0.0437521i
\(163\) −3.14958 4.64529i −0.246694 0.363847i 0.684101 0.729387i \(-0.260195\pi\)
−0.930796 + 0.365540i \(0.880884\pi\)
\(164\) −2.05154 0.691244i −0.160198 0.0539771i
\(165\) −0.345081 + 1.24287i −0.0268645 + 0.0967573i
\(166\) −4.87869 + 5.74364i −0.378660 + 0.445793i
\(167\) 0.701131 + 12.9316i 0.0542551 + 1.00068i 0.891263 + 0.453487i \(0.149820\pi\)
−0.837008 + 0.547191i \(0.815697\pi\)
\(168\) −10.3687 + 3.49362i −0.799963 + 0.269539i
\(169\) 14.4105 + 10.9546i 1.10850 + 0.842658i
\(170\) −0.461388 0.437050i −0.0353868 0.0335202i
\(171\) 0.249071 4.59385i 0.0190470 0.351301i
\(172\) −0.278116 1.00168i −0.0212062 0.0763777i
\(173\) −4.03516 1.86687i −0.306788 0.141935i 0.260454 0.965486i \(-0.416128\pi\)
−0.567242 + 0.823551i \(0.691990\pi\)
\(174\) −0.351864 2.14628i −0.0266748 0.162709i
\(175\) −17.4045 3.83101i −1.31565 0.289597i
\(176\) 11.1938 0.843766
\(177\) 0.746535 + 7.64478i 0.0561130 + 0.574617i
\(178\) 24.2451 1.81724
\(179\) −15.3849 3.38648i −1.14992 0.253117i −0.401194 0.915993i \(-0.631405\pi\)
−0.748729 + 0.662876i \(0.769336\pi\)
\(180\) 0.0155497 + 0.0948491i 0.00115901 + 0.00706963i
\(181\) 10.0776 + 4.66238i 0.749059 + 0.346552i 0.756998 0.653417i \(-0.226665\pi\)
−0.00793918 + 0.999968i \(0.502527\pi\)
\(182\) −7.28410 26.2350i −0.539934 1.94466i
\(183\) −0.153289 + 2.82724i −0.0113314 + 0.208996i
\(184\) −14.3650 13.6072i −1.05900 1.00314i
\(185\) 2.94463 + 2.23845i 0.216494 + 0.164574i
\(186\) 10.6206 3.57850i 0.778741 0.262388i
\(187\) 0.210548 + 3.88332i 0.0153968 + 0.283977i
\(188\) −0.765900 + 0.901687i −0.0558590 + 0.0657623i
\(189\) 0.984836 3.54706i 0.0716363 0.258011i
\(190\) 2.30513 + 0.776689i 0.167232 + 0.0563470i
\(191\) −14.5045 21.3925i −1.04951 1.54790i −0.818124 0.575042i \(-0.804986\pi\)
−0.231381 0.972863i \(-0.574324\pi\)
\(192\) 7.91211 3.66053i 0.571007 0.264176i
\(193\) −6.03315 7.10278i −0.434276 0.511269i 0.500875 0.865520i \(-0.333012\pi\)
−0.935150 + 0.354251i \(0.884736\pi\)
\(194\) 5.59892 5.30358i 0.401979 0.380775i
\(195\) −2.21028 + 0.240383i −0.158282 + 0.0172142i
\(196\) 0.584639 1.46733i 0.0417600 0.104810i
\(197\) −1.09864 + 6.70138i −0.0782745 + 0.477454i 0.918378 + 0.395704i \(0.129499\pi\)
−0.996653 + 0.0817501i \(0.973949\pi\)
\(198\) −2.40808 + 3.55165i −0.171135 + 0.252405i
\(199\) 1.11159 0.845007i 0.0787984 0.0599010i −0.565033 0.825068i \(-0.691137\pi\)
0.643832 + 0.765167i \(0.277344\pi\)
\(200\) 14.3044 + 1.55569i 1.01147 + 0.110004i
\(201\) −4.16268 + 7.85164i −0.293613 + 0.553812i
\(202\) 18.1060 10.8940i 1.27394 0.766503i
\(203\) 5.17280 + 3.11237i 0.363059 + 0.218446i
\(204\) 0.135740 + 0.256032i 0.00950368 + 0.0179258i
\(205\) 1.32502 + 3.32555i 0.0925435 + 0.232267i
\(206\) −7.63961 + 1.68161i −0.532277 + 0.117163i
\(207\) 6.50153 1.43109i 0.451888 0.0994680i
\(208\) 7.14154 + 17.9239i 0.495177 + 1.24280i
\(209\) −6.97236 13.1513i −0.482289 0.909693i
\(210\) 1.66776 + 1.00346i 0.115087 + 0.0692453i
\(211\) −12.9323 + 7.78113i −0.890299 + 0.535675i −0.885671 0.464314i \(-0.846301\pi\)
−0.00462874 + 0.999989i \(0.501473\pi\)
\(212\) 0.300059 0.565971i 0.0206081 0.0388710i
\(213\) −1.49370 0.162450i −0.102347 0.0111309i
\(214\) −8.51308 + 6.47148i −0.581942 + 0.442381i
\(215\) −0.964700 + 1.42283i −0.0657920 + 0.0970360i
\(216\) −0.480852 + 2.93307i −0.0327178 + 0.199570i
\(217\) −11.5143 + 28.8986i −0.781640 + 1.96177i
\(218\) −14.5454 + 1.58190i −0.985137 + 0.107140i
\(219\) −6.45921 + 6.11849i −0.436473 + 0.413449i
\(220\) 0.201325 + 0.237018i 0.0135733 + 0.0159797i
\(221\) −6.08378 + 2.81465i −0.409239 + 0.189334i
\(222\) 6.90536 + 10.1846i 0.463457 + 0.683548i
\(223\) −9.35816 3.15313i −0.626669 0.211149i −0.0119916 0.999928i \(-0.503817\pi\)
−0.614677 + 0.788779i \(0.710714\pi\)
\(224\) −1.33550 + 4.81005i −0.0892321 + 0.321385i
\(225\) −3.13404 + 3.68968i −0.208936 + 0.245978i
\(226\) −0.926682 17.0916i −0.0616419 1.13692i
\(227\) −14.5320 + 4.89639i −0.964521 + 0.324985i −0.757123 0.653272i \(-0.773396\pi\)
−0.207397 + 0.978257i \(0.566499\pi\)
\(228\) −0.882999 0.671238i −0.0584780 0.0444538i
\(229\) 13.4304 + 12.7220i 0.887507 + 0.840692i 0.988033 0.154243i \(-0.0492938\pi\)
−0.100526 + 0.994934i \(0.532052\pi\)
\(230\) −0.190560 + 3.51467i −0.0125651 + 0.231750i
\(231\) −3.18643 11.4765i −0.209652 0.755098i
\(232\) −4.42372 2.04663i −0.290431 0.134368i
\(233\) 3.39174 + 20.6887i 0.222200 + 1.35536i 0.828439 + 0.560079i \(0.189229\pi\)
−0.606239 + 0.795282i \(0.707323\pi\)
\(234\) −7.22334 1.58998i −0.472204 0.103940i
\(235\) 1.95631 0.127615
\(236\) 1.62651 + 0.885349i 0.105877 + 0.0576313i
\(237\) 1.70676 0.110866
\(238\) 5.73115 + 1.26152i 0.371495 + 0.0817722i
\(239\) 3.50730 + 21.3936i 0.226868 + 1.38384i 0.817051 + 0.576566i \(0.195608\pi\)
−0.590182 + 0.807270i \(0.700944\pi\)
\(240\) −1.25179 0.579138i −0.0808025 0.0373832i
\(241\) −7.14873 25.7474i −0.460490 1.65854i −0.720901 0.693038i \(-0.756272\pi\)
0.260411 0.965498i \(-0.416142\pi\)
\(242\) 0.0381662 0.703934i 0.00245342 0.0452506i
\(243\) −0.725995 0.687699i −0.0465726 0.0441159i
\(244\) 0.543433 + 0.413107i 0.0347898 + 0.0264465i
\(245\) −2.47515 + 0.833976i −0.158132 + 0.0532808i
\(246\) 0.644733 + 11.8914i 0.0411067 + 0.758168i
\(247\) 16.6099 19.5547i 1.05687 1.24424i
\(248\) 6.71939 24.2010i 0.426681 1.53677i
\(249\) −5.38478 1.81434i −0.341246 0.114979i
\(250\) −2.91999 4.30667i −0.184677 0.272378i
\(251\) 15.4919 7.16731i 0.977839 0.452397i 0.135167 0.990823i \(-0.456843\pi\)
0.842673 + 0.538426i \(0.180981\pi\)
\(252\) −0.574565 0.676431i −0.0361942 0.0426111i
\(253\) 15.6374 14.8125i 0.983115 0.931256i
\(254\) 4.69502 0.510614i 0.294592 0.0320388i
\(255\) 0.177368 0.445159i 0.0111072 0.0278769i
\(256\) 0.921953 5.62367i 0.0576221 0.351479i
\(257\) 7.67195 11.3153i 0.478563 0.705828i −0.509398 0.860531i \(-0.670132\pi\)
0.987961 + 0.154703i \(0.0494421\pi\)
\(258\) −4.55260 + 3.46080i −0.283433 + 0.215460i
\(259\) −33.9545 3.69278i −2.10983 0.229458i
\(260\) −0.251077 + 0.473582i −0.0155712 + 0.0293703i
\(261\) 1.40518 0.845468i 0.0869784 0.0523332i
\(262\) −16.9649 10.2075i −1.04810 0.630620i
\(263\) 3.43469 + 6.47851i 0.211792 + 0.399482i 0.966534 0.256540i \(-0.0825826\pi\)
−0.754742 + 0.656022i \(0.772238\pi\)
\(264\) 3.55948 + 8.93361i 0.219071 + 0.549826i
\(265\) −1.03451 + 0.227713i −0.0635496 + 0.0139883i
\(266\) −21.9359 + 4.82846i −1.34498 + 0.296052i
\(267\) 6.76652 + 16.9827i 0.414104 + 1.03932i
\(268\) 1.00359 + 1.89296i 0.0613038 + 0.115631i
\(269\) 4.28700 + 2.57940i 0.261383 + 0.157269i 0.640213 0.768197i \(-0.278846\pi\)
−0.378830 + 0.925466i \(0.623674\pi\)
\(270\) 0.453044 0.272588i 0.0275714 0.0165892i
\(271\) 8.33827 15.7276i 0.506514 0.955387i −0.489981 0.871733i \(-0.662996\pi\)
0.996495 0.0836535i \(-0.0266589\pi\)
\(272\) −4.13413 0.449614i −0.250668 0.0272618i
\(273\) 16.3436 12.4241i 0.989161 0.751941i
\(274\) −8.50638 + 12.5460i −0.513889 + 0.757930i
\(275\) −2.53403 + 15.4569i −0.152808 + 0.932087i
\(276\) 0.594067 1.49100i 0.0357586 0.0897474i
\(277\) 5.51977 0.600311i 0.331651 0.0360692i 0.0592210 0.998245i \(-0.481138\pi\)
0.272430 + 0.962176i \(0.412173\pi\)
\(278\) 3.93628 3.72864i 0.236082 0.223629i
\(279\) 5.47069 + 6.44059i 0.327522 + 0.385588i
\(280\) 3.95884 1.83156i 0.236586 0.109456i
\(281\) −14.8223 21.8613i −0.884224 1.30413i −0.951895 0.306425i \(-0.900867\pi\)
0.0676705 0.997708i \(-0.478443\pi\)
\(282\) 6.16734 + 2.07802i 0.367259 + 0.123744i
\(283\) −2.66919 + 9.61354i −0.158667 + 0.571466i 0.840876 + 0.541228i \(0.182040\pi\)
−0.999543 + 0.0302380i \(0.990373\pi\)
\(284\) −0.234511 + 0.276087i −0.0139157 + 0.0163828i
\(285\) 0.0992965 + 1.83142i 0.00588182 + 0.108484i
\(286\) −22.6779 + 7.64107i −1.34097 + 0.451826i
\(287\) −26.3152 20.0043i −1.55334 1.18082i
\(288\) 0.984499 + 0.932567i 0.0580121 + 0.0549520i
\(289\) −0.842143 + 15.5324i −0.0495378 + 0.913671i
\(290\) 0.231966 + 0.835467i 0.0136215 + 0.0490603i
\(291\) 5.27754 + 2.44165i 0.309375 + 0.143132i
\(292\) 0.347022 + 2.11674i 0.0203079 + 0.123873i
\(293\) −11.1971 2.46467i −0.654143 0.143988i −0.124515 0.992218i \(-0.539737\pi\)
−0.529628 + 0.848230i \(0.677668\pi\)
\(294\) −8.68888 −0.506746
\(295\) −0.625391 2.99768i −0.0364117 0.174532i
\(296\) 27.5764 1.60285
\(297\) −3.15985 0.695536i −0.183353 0.0403591i
\(298\) −0.338106 2.06235i −0.0195859 0.119469i
\(299\) 33.6948 + 15.5889i 1.94862 + 0.901528i
\(300\) 0.312243 + 1.12460i 0.0180274 + 0.0649287i
\(301\) 0.859366 15.8501i 0.0495330 0.913583i
\(302\) −0.965500 0.914570i −0.0555583 0.0526276i
\(303\) 12.6840 + 9.64215i 0.728679 + 0.553927i
\(304\) 15.0835 5.08221i 0.865096 0.291485i
\(305\) −0.0611111 1.12713i −0.00349921 0.0645392i
\(306\) 1.03201 1.21498i 0.0589962 0.0694557i
\(307\) −1.66853 + 6.00952i −0.0952283 + 0.342981i −0.995781 0.0917665i \(-0.970749\pi\)
0.900552 + 0.434748i \(0.143162\pi\)
\(308\) −2.72124 0.916892i −0.155057 0.0522448i
\(309\) −3.31003 4.88192i −0.188301 0.277723i
\(310\) −4.05502 + 1.87605i −0.230310 + 0.106553i
\(311\) −9.90972 11.6666i −0.561929 0.661554i 0.405678 0.914016i \(-0.367035\pi\)
−0.967607 + 0.252463i \(0.918760\pi\)
\(312\) −12.0339 + 11.3991i −0.681284 + 0.645347i
\(313\) −24.1890 + 2.63071i −1.36724 + 0.148696i −0.762120 0.647436i \(-0.775841\pi\)
−0.605122 + 0.796133i \(0.706876\pi\)
\(314\) −11.0185 + 27.6543i −0.621809 + 1.56062i
\(315\) −0.237429 + 1.44826i −0.0133776 + 0.0816000i
\(316\) 0.230921 0.340583i 0.0129903 0.0191593i
\(317\) 0.435223 0.330848i 0.0244446 0.0185823i −0.592881 0.805290i \(-0.702009\pi\)
0.617325 + 0.786708i \(0.288216\pi\)
\(318\) −3.50322 0.380999i −0.196451 0.0213653i
\(319\) 2.48536 4.68788i 0.139153 0.262471i
\(320\) −2.97802 + 1.79182i −0.166477 + 0.100166i
\(321\) −6.90891 4.15696i −0.385618 0.232019i
\(322\) −15.2240 28.7156i −0.848403 1.60026i
\(323\) 2.04681 + 5.13711i 0.113888 + 0.285837i
\(324\) −0.235455 + 0.0518276i −0.0130808 + 0.00287931i
\(325\) −26.3668 + 5.80377i −1.46257 + 0.321935i
\(326\) 2.75506 + 6.91467i 0.152589 + 0.382968i
\(327\) −5.16751 9.74696i −0.285764 0.539008i
\(328\) 22.8685 + 13.7595i 1.26270 + 0.759743i
\(329\) −15.4785 + 9.31311i −0.853358 + 0.513448i
\(330\) 0.801305 1.51142i 0.0441104 0.0832010i
\(331\) 5.72953 + 0.623124i 0.314923 + 0.0342500i 0.264216 0.964464i \(-0.414887\pi\)
0.0507074 + 0.998714i \(0.483852\pi\)
\(332\) −1.09060 + 0.829050i −0.0598542 + 0.0455000i
\(333\) −5.20673 + 7.67935i −0.285327 + 0.420826i
\(334\) 2.77870 16.9493i 0.152044 0.927425i
\(335\) 1.31136 3.29127i 0.0716473 0.179821i
\(336\) 12.6613 1.37700i 0.690730 0.0751214i
\(337\) 14.7819 14.0022i 0.805221 0.762746i −0.169653 0.985504i \(-0.554265\pi\)
0.974874 + 0.222758i \(0.0715060\pi\)
\(338\) −15.5417 18.2971i −0.845358 0.995233i
\(339\) 11.7134 5.41919i 0.636183 0.294330i
\(340\) −0.0648336 0.0956224i −0.00351609 0.00518585i
\(341\) 25.9101 + 8.73013i 1.40311 + 0.472763i
\(342\) −1.63232 + 5.87909i −0.0882658 + 0.317905i
\(343\) −1.06880 + 1.25829i −0.0577099 + 0.0679414i
\(344\) 0.693849 + 12.7973i 0.0374098 + 0.689984i
\(345\) −2.51507 + 0.847425i −0.135407 + 0.0456238i
\(346\) 4.69423 + 3.56846i 0.252363 + 0.191841i
\(347\) 9.15757 + 8.67451i 0.491604 + 0.465672i 0.892886 0.450282i \(-0.148677\pi\)
−0.401282 + 0.915955i \(0.631435\pi\)
\(348\) 0.0214050 0.394792i 0.00114743 0.0211630i
\(349\) 4.36898 + 15.7356i 0.233866 + 0.842310i 0.983569 + 0.180535i \(0.0577828\pi\)
−0.749703 + 0.661775i \(0.769803\pi\)
\(350\) 21.4506 + 9.92410i 1.14658 + 0.530465i
\(351\) −0.902237 5.50340i −0.0481579 0.293750i
\(352\) 4.28497 + 0.943194i 0.228390 + 0.0502724i
\(353\) −13.1930 −0.702193 −0.351096 0.936339i \(-0.614191\pi\)
−0.351096 + 0.936339i \(0.614191\pi\)
\(354\) 1.21261 10.1146i 0.0644494 0.537585i
\(355\) 0.599001 0.0317917
\(356\) 4.30437 + 0.947463i 0.228131 + 0.0502154i
\(357\) 0.715854 + 4.36651i 0.0378870 + 0.231100i
\(358\) 18.9615 + 8.77254i 1.00215 + 0.463643i
\(359\) −6.96495 25.0855i −0.367596 1.32396i −0.883948 0.467584i \(-0.845124\pi\)
0.516353 0.856376i \(-0.327289\pi\)
\(360\) 0.0641507 1.18319i 0.00338104 0.0623595i
\(361\) −1.57214 1.48921i −0.0827444 0.0783796i
\(362\) −11.7235 8.91199i −0.616175 0.468404i
\(363\) 0.503729 0.169726i 0.0264389 0.00890831i
\(364\) −0.267964 4.94230i −0.0140451 0.259047i
\(365\) 2.29625 2.70335i 0.120191 0.141500i
\(366\) 1.00460 3.61823i 0.0525111 0.189128i
\(367\) −9.74048 3.28195i −0.508449 0.171316i 0.0533729 0.998575i \(-0.483003\pi\)
−0.561822 + 0.827258i \(0.689899\pi\)
\(368\) 12.9251 + 19.0631i 0.673769 + 0.993734i
\(369\) −8.14951 + 3.77036i −0.424246 + 0.196277i
\(370\) −3.17580 3.73884i −0.165102 0.194373i
\(371\) 7.10113 6.72655i 0.368672 0.349225i
\(372\) 2.02538 0.220274i 0.105011 0.0114207i
\(373\) −1.83540 + 4.60651i −0.0950336 + 0.238516i −0.968807 0.247817i \(-0.920287\pi\)
0.873773 + 0.486334i \(0.161666\pi\)
\(374\) 0.834436 5.08983i 0.0431476 0.263189i
\(375\) 2.20171 3.24728i 0.113696 0.167689i
\(376\) 11.6111 8.82649i 0.598794 0.455192i
\(377\) 9.09202 + 0.988817i 0.468263 + 0.0509267i
\(378\) −2.28686 + 4.31348i −0.117624 + 0.221862i
\(379\) 29.9657 18.0298i 1.53923 0.926127i 0.542972 0.839751i \(-0.317299\pi\)
0.996263 0.0863760i \(-0.0275286\pi\)
\(380\) 0.378892 + 0.227972i 0.0194367 + 0.0116947i
\(381\) 1.66799 + 3.14616i 0.0854538 + 0.161183i
\(382\) 12.6876 + 31.8435i 0.649154 + 1.62925i
\(383\) −3.81391 + 0.839504i −0.194882 + 0.0428967i −0.311339 0.950299i \(-0.600777\pi\)
0.116457 + 0.993196i \(0.462846\pi\)
\(384\) −8.64291 + 1.90245i −0.441057 + 0.0970839i
\(385\) 1.75756 + 4.41114i 0.0895734 + 0.224812i
\(386\) 5.78931 + 10.9198i 0.294668 + 0.555803i
\(387\) −3.69473 2.22305i −0.187814 0.113004i
\(388\) 1.20127 0.722778i 0.0609850 0.0366935i
\(389\) −2.59750 + 4.89940i −0.131698 + 0.248410i −0.940587 0.339552i \(-0.889725\pi\)
0.808889 + 0.587962i \(0.200069\pi\)
\(390\) 2.93136 + 0.318805i 0.148435 + 0.0161433i
\(391\) −6.37021 + 4.84250i −0.322155 + 0.244896i
\(392\) −10.9278 + 16.1172i −0.551935 + 0.814044i
\(393\) 2.41520 14.7321i 0.121831 0.743134i
\(394\) 3.33357 8.36662i 0.167943 0.421504i
\(395\) −0.676442 + 0.0735675i −0.0340355 + 0.00370158i
\(396\) −0.566314 + 0.536441i −0.0284583 + 0.0269572i
\(397\) −23.0528 27.1399i −1.15699 1.36211i −0.920626 0.390446i \(-0.872321\pi\)
−0.236362 0.971665i \(-0.575955\pi\)
\(398\) −1.68068 + 0.777564i −0.0842447 + 0.0389758i
\(399\) −9.50421 14.0177i −0.475806 0.701761i
\(400\) −15.8719 5.34785i −0.793593 0.267393i
\(401\) −0.101462 + 0.365432i −0.00506676 + 0.0182488i −0.966040 0.258392i \(-0.916807\pi\)
0.960973 + 0.276641i \(0.0892212\pi\)
\(402\) 7.63015 8.98291i 0.380557 0.448027i
\(403\) 2.55140 + 47.0578i 0.127094 + 2.34412i
\(404\) 3.64020 1.22653i 0.181107 0.0610219i
\(405\) 0.317376 + 0.241263i 0.0157705 + 0.0119885i
\(406\) −5.81263 5.50602i −0.288476 0.273259i
\(407\) −1.62520 + 29.9751i −0.0805583 + 1.48581i
\(408\) −0.955765 3.44235i −0.0473174 0.170422i
\(409\) 8.38123 + 3.87757i 0.414425 + 0.191734i 0.616011 0.787737i \(-0.288747\pi\)
−0.201586 + 0.979471i \(0.564610\pi\)
\(410\) −0.768088 4.68513i −0.0379331 0.231382i
\(411\) −11.1620 2.45694i −0.550580 0.121192i
\(412\) −1.42202 −0.0700579
\(413\) 19.2188 + 20.7407i 0.945694 + 1.02059i
\(414\) −8.82900 −0.433921
\(415\) 2.21235 + 0.486976i 0.108600 + 0.0239047i
\(416\) 1.22349 + 7.46299i 0.0599867 + 0.365903i
\(417\) 3.71033 + 1.71658i 0.181696 + 0.0840615i
\(418\) 5.28137 + 19.0218i 0.258320 + 0.930386i
\(419\) 1.64079 30.2626i 0.0801579 1.47843i −0.631213 0.775610i \(-0.717443\pi\)
0.711371 0.702817i \(-0.248075\pi\)
\(420\) 0.256874 + 0.243324i 0.0125342 + 0.0118730i
\(421\) 4.09321 + 3.11157i 0.199491 + 0.151649i 0.700151 0.713995i \(-0.253116\pi\)
−0.500660 + 0.865644i \(0.666909\pi\)
\(422\) 18.9688 6.39133i 0.923387 0.311125i
\(423\) 0.265666 + 4.89992i 0.0129171 + 0.238242i
\(424\) −5.11263 + 6.01905i −0.248291 + 0.292311i
\(425\) 1.55672 5.60680i 0.0755120 0.271970i
\(426\) 1.88838 + 0.636268i 0.0914921 + 0.0308273i
\(427\) 5.84928 + 8.62704i 0.283066 + 0.417492i
\(428\) −1.76427 + 0.816240i −0.0852794 + 0.0394545i
\(429\) −11.6814 13.7524i −0.563984 0.663973i
\(430\) 1.65516 1.56785i 0.0798190 0.0756085i
\(431\) 32.9582 3.58442i 1.58754 0.172655i 0.728675 0.684860i \(-0.240137\pi\)
0.858864 + 0.512204i \(0.171171\pi\)
\(432\) 1.28056 3.21397i 0.0616112 0.154632i
\(433\) 5.95312 36.3124i 0.286089 1.74506i −0.317949 0.948108i \(-0.602994\pi\)
0.604038 0.796956i \(-0.293558\pi\)
\(434\) 23.1527 34.1477i 1.11137 1.63914i
\(435\) −0.520472 + 0.395653i −0.0249547 + 0.0189701i
\(436\) −2.64415 0.287568i −0.126632 0.0137720i
\(437\) 14.3459 27.0593i 0.686259 1.29442i
\(438\) 10.1106 6.08332i 0.483101 0.290672i
\(439\) 20.3645 + 12.2529i 0.971943 + 0.584798i 0.910587 0.413317i \(-0.135630\pi\)
0.0613557 + 0.998116i \(0.480458\pi\)
\(440\) −1.79580 3.38723i −0.0856113 0.161480i
\(441\) −2.42497 6.08621i −0.115475 0.289820i
\(442\) 8.68236 1.91113i 0.412978 0.0909033i
\(443\) 6.39002 1.40655i 0.303599 0.0668272i −0.0605583 0.998165i \(-0.519288\pi\)
0.364157 + 0.931337i \(0.381357\pi\)
\(444\) 0.827948 + 2.07799i 0.0392927 + 0.0986171i
\(445\) −3.41379 6.43909i −0.161829 0.305242i
\(446\) 11.2220 + 6.75207i 0.531378 + 0.319720i
\(447\) 1.35023 0.812409i 0.0638639 0.0384256i
\(448\) 15.0324 28.3541i 0.710214 1.33961i
\(449\) −29.2095 3.17672i −1.37848 0.149919i −0.611324 0.791380i \(-0.709363\pi\)
−0.767155 + 0.641461i \(0.778328\pi\)
\(450\) 5.11124 3.88546i 0.240946 0.183163i
\(451\) −16.3041 + 24.0468i −0.767731 + 1.13232i
\(452\) 0.503398 3.07059i 0.0236779 0.144429i
\(453\) 0.371160 0.931540i 0.0174386 0.0437676i
\(454\) 20.2182 2.19887i 0.948889 0.103198i
\(455\) −5.94195 + 5.62851i −0.278563 + 0.263869i
\(456\) 8.85236 + 10.4218i 0.414550 + 0.488046i
\(457\) 14.8060 6.84999i 0.692596 0.320429i −0.0418233 0.999125i \(-0.513317\pi\)
0.734419 + 0.678696i \(0.237455\pi\)
\(458\) −13.7684 20.3069i −0.643357 0.948881i
\(459\) 1.13907 + 0.383796i 0.0531671 + 0.0179141i
\(460\) −0.171180 + 0.616533i −0.00798129 + 0.0287460i
\(461\) 2.99386 3.52464i 0.139438 0.164159i −0.688010 0.725701i \(-0.741516\pi\)
0.827448 + 0.561542i \(0.189792\pi\)
\(462\) 0.855197 + 15.7732i 0.0397874 + 0.733835i
\(463\) −0.0290069 + 0.00977355i −0.00134806 + 0.000454215i −0.319975 0.947426i \(-0.603675\pi\)
0.318627 + 0.947880i \(0.396778\pi\)
\(464\) 4.51673 + 3.43353i 0.209684 + 0.159398i
\(465\) −2.44581 2.31680i −0.113422 0.107439i
\(466\) 1.50530 27.7636i 0.0697317 1.28613i
\(467\) −0.983326 3.54162i −0.0455029 0.163887i 0.937308 0.348502i \(-0.113310\pi\)
−0.982811 + 0.184616i \(0.940896\pi\)
\(468\) −1.22027 0.564556i −0.0564069 0.0260966i
\(469\) 5.29264 + 32.2837i 0.244391 + 1.49072i
\(470\) −2.53387 0.557747i −0.116879 0.0257270i
\(471\) −22.4459 −1.03425
\(472\) −17.2368 14.9701i −0.793387 0.689057i
\(473\) −13.9513 −0.641483
\(474\) −2.21065 0.486602i −0.101539 0.0223504i
\(475\) 3.60317 + 21.9784i 0.165325 + 1.00844i
\(476\) 0.968186 + 0.447930i 0.0443767 + 0.0205309i
\(477\) −0.710836 2.56020i −0.0325469 0.117223i
\(478\) 1.55659 28.7096i 0.0711967 1.31315i
\(479\) −17.9868 17.0380i −0.821836 0.778484i 0.156022 0.987754i \(-0.450133\pi\)
−0.977858 + 0.209269i \(0.932891\pi\)
\(480\) −0.430383 0.327169i −0.0196442 0.0149332i
\(481\) −49.0340 + 16.5215i −2.23576 + 0.753314i
\(482\) 1.91863 + 35.3870i 0.0873910 + 1.61183i
\(483\) 15.8653 18.6780i 0.721894 0.849880i
\(484\) 0.0342846 0.123482i 0.00155839 0.00561282i
\(485\) −2.19689 0.740219i −0.0997557 0.0336116i
\(486\) 0.744268 + 1.09771i 0.0337607 + 0.0497933i
\(487\) −33.6990 + 15.5908i −1.52705 + 0.706487i −0.990516 0.137395i \(-0.956127\pi\)
−0.536530 + 0.843882i \(0.680265\pi\)
\(488\) −5.44810 6.41400i −0.246624 0.290348i
\(489\) −4.07455 + 3.85961i −0.184257 + 0.174538i
\(490\) 3.44367 0.374521i 0.155569 0.0169191i
\(491\) −8.43309 + 21.1655i −0.380580 + 0.955184i 0.606518 + 0.795070i \(0.292566\pi\)
−0.987098 + 0.160115i \(0.948814\pi\)
\(492\) −0.350236 + 2.13635i −0.0157899 + 0.0963139i
\(493\) −1.10619 + 1.63151i −0.0498204 + 0.0734796i
\(494\) −27.0888 + 20.5924i −1.21878 + 0.926496i
\(495\) 1.28233 + 0.139461i 0.0576362 + 0.00626832i
\(496\) −13.6943 + 25.8302i −0.614893 + 1.15981i
\(497\) −4.73936 + 2.85158i −0.212589 + 0.127911i
\(498\) 6.45726 + 3.88520i 0.289357 + 0.174100i
\(499\) 7.50765 + 14.1609i 0.336089 + 0.633931i 0.992742 0.120262i \(-0.0383734\pi\)
−0.656653 + 0.754192i \(0.728029\pi\)
\(500\) −0.350105 0.878697i −0.0156572 0.0392965i
\(501\) 12.6478 2.78399i 0.565063 0.124380i
\(502\) −22.1090 + 4.86656i −0.986773 + 0.217205i
\(503\) −13.0787 32.8252i −0.583152 1.46360i −0.863822 0.503797i \(-0.831936\pi\)
0.280670 0.959804i \(-0.409443\pi\)
\(504\) 5.12507 + 9.66691i 0.228289 + 0.430598i
\(505\) −5.44268 3.27475i −0.242196 0.145724i
\(506\) −24.4771 + 14.7274i −1.08814 + 0.654713i
\(507\) 8.47889 15.9929i 0.376561 0.710269i
\(508\) 0.853488 + 0.0928224i 0.0378674 + 0.00411833i
\(509\) 4.00166 3.04198i 0.177371 0.134834i −0.512722 0.858555i \(-0.671363\pi\)
0.690093 + 0.723721i \(0.257570\pi\)
\(510\) −0.356648 + 0.526016i −0.0157926 + 0.0232924i
\(511\) −5.29870 + 32.3207i −0.234401 + 1.42978i
\(512\) −9.34877 + 23.4636i −0.413161 + 1.03696i
\(513\) −4.57363 + 0.497412i −0.201931 + 0.0219613i
\(514\) −13.1630 + 12.4686i −0.580594 + 0.549968i
\(515\) 1.52229 + 1.79218i 0.0670802 + 0.0789729i
\(516\) −0.943494 + 0.436507i −0.0415350 + 0.0192161i
\(517\) 8.90995 + 13.1412i 0.391859 + 0.577949i
\(518\) 42.9262 + 14.4635i 1.88607 + 0.635490i
\(519\) −1.18946 + 4.28403i −0.0522113 + 0.188048i
\(520\) 4.27805 5.03651i 0.187605 0.220865i
\(521\) −0.869656 16.0399i −0.0381003 0.702719i −0.953724 0.300683i \(-0.902785\pi\)
0.915624 0.402036i \(-0.131697\pi\)
\(522\) −2.06108 + 0.694458i −0.0902109 + 0.0303956i
\(523\) 14.9226 + 11.3439i 0.652519 + 0.496032i 0.878277 0.478151i \(-0.158693\pi\)
−0.225759 + 0.974183i \(0.572486\pi\)
\(524\) −2.61299 2.47516i −0.114149 0.108128i
\(525\) −0.964816 + 17.7950i −0.0421080 + 0.776637i
\(526\) −2.60168 9.37041i −0.113439 0.408569i
\(527\) −9.21852 4.26494i −0.401565 0.185784i
\(528\) −1.81096 11.0464i −0.0788119 0.480731i
\(529\) 20.8195 + 4.58272i 0.905196 + 0.199249i
\(530\) 1.40486 0.0610230
\(531\) 7.42330 1.97349i 0.322144 0.0856421i
\(532\) −4.08310 −0.177025
\(533\) −48.9063 10.7651i −2.11837 0.466288i
\(534\) −3.92241 23.9257i −0.169739 1.03536i
\(535\) 2.91739 + 1.34973i 0.126130 + 0.0583538i
\(536\) −7.06641 25.4509i −0.305223 1.09931i
\(537\) −0.852862 + 15.7301i −0.0368037 + 0.678805i
\(538\) −4.81726 4.56315i −0.207687 0.196731i
\(539\) −16.8751 12.8281i −0.726863 0.552547i
\(540\) 0.0910839 0.0306898i 0.00391963 0.00132068i
\(541\) −0.265883 4.90392i −0.0114312 0.210836i −0.998669 0.0515817i \(-0.983574\pi\)
0.987238 0.159254i \(-0.0509090\pi\)
\(542\) −15.2840 + 17.9937i −0.656503 + 0.772895i
\(543\) 2.97059 10.6991i 0.127480 0.459142i
\(544\) −1.54465 0.520454i −0.0662264 0.0223143i
\(545\) 2.46817 + 3.64028i 0.105725 + 0.155932i
\(546\) −24.7109 + 11.4325i −1.05753 + 0.489265i
\(547\) 23.1800 + 27.2896i 0.991106 + 1.16682i 0.985985 + 0.166833i \(0.0533540\pi\)
0.00512037 + 0.999987i \(0.498370\pi\)
\(548\) −2.00047 + 1.89494i −0.0854557 + 0.0809479i
\(549\) 2.81480 0.306128i 0.120133 0.0130652i
\(550\) 7.68896 19.2978i 0.327858 0.822862i
\(551\) 1.22058 7.44523i 0.0519986 0.317178i
\(552\) −11.1040 + 16.3771i −0.472617 + 0.697057i
\(553\) 5.00186 3.80231i 0.212701 0.161691i
\(554\) −7.32053 0.796155i −0.311019 0.0338254i
\(555\) 1.73258 3.26798i 0.0735437 0.138718i
\(556\) 0.844541 0.508143i 0.0358165 0.0215501i
\(557\) −6.64998 4.00116i −0.281769 0.169535i 0.367653 0.929963i \(-0.380161\pi\)
−0.649422 + 0.760428i \(0.724989\pi\)
\(558\) −5.24958 9.90177i −0.222233 0.419175i
\(559\) −8.90080 22.3393i −0.376464 0.944852i
\(560\) −4.95870 + 1.09149i −0.209543 + 0.0461240i
\(561\) 3.79810 0.836026i 0.160356 0.0352970i
\(562\) 12.9656 + 32.5413i 0.546922 + 1.37267i
\(563\) −1.76856 3.33585i −0.0745358 0.140589i 0.843443 0.537218i \(-0.180525\pi\)
−0.917979 + 0.396629i \(0.870180\pi\)
\(564\) 1.01372 + 0.609934i 0.0426852 + 0.0256828i
\(565\) −4.40878 + 2.65267i −0.185479 + 0.111599i
\(566\) 6.19806 11.6908i 0.260524 0.491400i
\(567\) −3.65966 0.398012i −0.153691 0.0167149i
\(568\) 3.55519 2.70258i 0.149172 0.113398i
\(569\) 22.5906 33.3187i 0.947048 1.39679i 0.0293249 0.999570i \(-0.490664\pi\)
0.917723 0.397221i \(-0.130025\pi\)
\(570\) 0.393529 2.40042i 0.0164831 0.100542i
\(571\) −13.3451 + 33.4937i −0.558476 + 1.40167i 0.330540 + 0.943792i \(0.392769\pi\)
−0.889016 + 0.457877i \(0.848610\pi\)
\(572\) −4.32474 + 0.470344i −0.180827 + 0.0196661i
\(573\) −18.7641 + 17.7743i −0.783881 + 0.742532i
\(574\) 28.3810 + 33.4127i 1.18460 + 1.39462i
\(575\) −29.2492 + 13.5321i −1.21977 + 0.564328i
\(576\) −4.89235 7.21567i −0.203848 0.300653i
\(577\) −1.61596 0.544480i −0.0672732 0.0226670i 0.285464 0.958390i \(-0.407852\pi\)
−0.352737 + 0.935723i \(0.614749\pi\)
\(578\) 5.51909 19.8780i 0.229564 0.826815i
\(579\) −6.03315 + 7.10278i −0.250729 + 0.295181i
\(580\) 0.00853346 + 0.157390i 0.000354333 + 0.00653528i
\(581\) −19.8226 + 6.67903i −0.822382 + 0.277093i
\(582\) −6.13951 4.66714i −0.254491 0.193459i
\(583\) −6.24129 5.91207i −0.258488 0.244853i
\(584\) 1.43165 26.4052i 0.0592420 1.09265i
\(585\) 0.594800 + 2.14227i 0.0245919 + 0.0885722i
\(586\) 13.8002 + 6.38465i 0.570080 + 0.263747i
\(587\) −0.331584 2.02257i −0.0136859 0.0834805i 0.979100 0.203377i \(-0.0651918\pi\)
−0.992786 + 0.119897i \(0.961744\pi\)
\(588\) −1.54259 0.339549i −0.0636153 0.0140028i
\(589\) 38.8770 1.60190
\(590\) −0.0446181 + 4.06099i −0.00183690 + 0.167188i
\(591\) 6.79084 0.279338
\(592\) −31.3488 6.90038i −1.28843 0.283604i
\(593\) −7.15290 43.6307i −0.293734 1.79170i −0.560726 0.828001i \(-0.689478\pi\)
0.266992 0.963699i \(-0.413970\pi\)
\(594\) 3.89444 + 1.80176i 0.159791 + 0.0739272i
\(595\) −0.471926 1.69972i −0.0193471 0.0696819i
\(596\) 0.0205680 0.379354i 0.000842498 0.0155390i
\(597\) −1.01371 0.960237i −0.0414884 0.0392999i
\(598\) −39.1982 29.7977i −1.60293 1.21852i
\(599\) 44.6160 15.0329i 1.82296 0.614227i 0.824103 0.566440i \(-0.191680\pi\)
0.998858 0.0477872i \(-0.0152169\pi\)
\(600\) −0.778989 14.3676i −0.0318021 0.586555i
\(601\) 9.03176 10.6330i 0.368413 0.433729i −0.546451 0.837491i \(-0.684022\pi\)
0.914864 + 0.403762i \(0.132297\pi\)
\(602\) −5.63196 + 20.2845i −0.229542 + 0.826735i
\(603\) 8.42165 + 2.83759i 0.342956 + 0.115555i
\(604\) −0.135671 0.200099i −0.00552037 0.00814193i
\(605\) −0.192327 + 0.0889801i −0.00781922 + 0.00361755i
\(606\) −13.6798 16.1051i −0.555703 0.654224i
\(607\) −3.83356 + 3.63134i −0.155600 + 0.147392i −0.761539 0.648119i \(-0.775556\pi\)
0.605940 + 0.795511i \(0.292797\pi\)
\(608\) 6.20215 0.674524i 0.251530 0.0273556i
\(609\) 2.23450 5.60818i 0.0905467 0.227255i
\(610\) −0.242194 + 1.47732i −0.00980613 + 0.0598148i
\(611\) −15.3576 + 22.6508i −0.621304 + 0.916355i
\(612\) 0.230699 0.175373i 0.00932546 0.00708903i
\(613\) −40.9795 4.45678i −1.65514 0.180008i −0.767664 0.640853i \(-0.778581\pi\)
−0.887481 + 0.460845i \(0.847546\pi\)
\(614\) 3.87446 7.30801i 0.156361 0.294927i
\(615\) 3.06738 1.84558i 0.123689 0.0744210i
\(616\) 30.3337 + 18.2512i 1.22218 + 0.735360i
\(617\) 12.0661 + 22.7591i 0.485763 + 0.916246i 0.998339 + 0.0576043i \(0.0183462\pi\)
−0.512577 + 0.858641i \(0.671309\pi\)
\(618\) 2.89540 + 7.26692i 0.116470 + 0.292318i
\(619\) −2.63936 + 0.580967i −0.106085 + 0.0233510i −0.267696 0.963504i \(-0.586262\pi\)
0.161611 + 0.986855i \(0.448331\pi\)
\(620\) −0.793226 + 0.174602i −0.0318567 + 0.00701219i
\(621\) −2.46407 6.18436i −0.0988798 0.248170i
\(622\) 9.50920 + 17.9363i 0.381284 + 0.719179i
\(623\) 57.6639 + 34.6952i 2.31026 + 1.39003i
\(624\) 16.5324 9.94723i 0.661826 0.398208i
\(625\) 10.6053 20.0038i 0.424214 0.800152i
\(626\) 32.0803 + 3.48895i 1.28219 + 0.139446i
\(627\) −11.8500 + 9.00815i −0.473244 + 0.359751i
\(628\) −3.03687 + 4.47905i −0.121184 + 0.178733i
\(629\) 1.80421 11.0052i 0.0719386 0.438806i
\(630\) 0.720427 1.80814i 0.0287025 0.0720378i
\(631\) −38.6547 + 4.20395i −1.53882 + 0.167357i −0.837876 0.545861i \(-0.816203\pi\)
−0.700943 + 0.713217i \(0.747237\pi\)
\(632\) −3.68289 + 3.48862i −0.146497 + 0.138770i
\(633\) 9.77085 + 11.5031i 0.388356 + 0.457209i
\(634\) −0.658041 + 0.304442i −0.0261341 + 0.0120909i
\(635\) −0.796686 1.17502i −0.0316155 0.0466294i
\(636\) −0.607059 0.204542i −0.0240715 0.00811062i
\(637\) 9.77468 35.2052i 0.387287 1.39488i
\(638\) −4.55564 + 5.36332i −0.180360 + 0.212336i
\(639\) 0.0813443 + 1.50031i 0.00321793 + 0.0593512i
\(640\) 3.34344 1.12654i 0.132161 0.0445303i
\(641\) 38.0741 + 28.9432i 1.50384 + 1.14319i 0.950706 + 0.310095i \(0.100361\pi\)
0.553133 + 0.833093i \(0.313432\pi\)
\(642\) 7.76349 + 7.35397i 0.306400 + 0.290238i
\(643\) −0.865620 + 15.9654i −0.0341367 + 0.629615i 0.930542 + 0.366185i \(0.119336\pi\)
−0.964679 + 0.263430i \(0.915146\pi\)
\(644\) −1.58065 5.69298i −0.0622863 0.224335i
\(645\) 1.56015 + 0.721804i 0.0614310 + 0.0284210i
\(646\) −1.18650 7.23730i −0.0466820 0.284748i
\(647\) −15.0037 3.30257i −0.589857 0.129837i −0.0899946 0.995942i \(-0.528685\pi\)
−0.499862 + 0.866105i \(0.666616\pi\)
\(648\) 2.97222 0.116760
\(649\) 17.2881 17.8538i 0.678618 0.700824i
\(650\) 35.8058 1.40442
\(651\) 30.3807 + 6.68731i 1.19072 + 0.262096i
\(652\) 0.218906 + 1.33527i 0.00857302 + 0.0522931i
\(653\) −27.7377 12.8328i −1.08546 0.502187i −0.206190 0.978512i \(-0.566106\pi\)
−0.879269 + 0.476325i \(0.841968\pi\)
\(654\) 3.91425 + 14.0978i 0.153059 + 0.551269i
\(655\) −0.322213 + 5.94286i −0.0125899 + 0.232207i
\(656\) −22.5538 21.3641i −0.880578 0.834128i
\(657\) 7.08287 + 5.38426i 0.276329 + 0.210060i
\(658\) 22.7034 7.64968i 0.885072 0.298216i
\(659\) −0.407220 7.51072i −0.0158630 0.292576i −0.995691 0.0927334i \(-0.970440\pi\)
0.979828 0.199843i \(-0.0640432\pi\)
\(660\) 0.201325 0.237018i 0.00783655 0.00922590i
\(661\) 11.5517 41.6054i 0.449308 1.61826i −0.298545 0.954396i \(-0.596501\pi\)
0.747853 0.663865i \(-0.231085\pi\)
\(662\) −7.24341 2.44059i −0.281523 0.0948562i
\(663\) 3.76182 + 5.54827i 0.146097 + 0.215477i
\(664\) 15.3279 7.09143i 0.594837 0.275201i
\(665\) 4.37101 + 5.14596i 0.169501 + 0.199552i
\(666\) 8.93331 8.46208i 0.346159 0.327899i
\(667\) 10.8532 1.18036i 0.420239 0.0457038i
\(668\) 1.15567 2.90052i 0.0447144 0.112225i
\(669\) −1.59761 + 9.74500i −0.0617672 + 0.376763i
\(670\) −2.63686 + 3.88908i −0.101871 + 0.150248i
\(671\) 7.29299 5.54398i 0.281543 0.214023i
\(672\) 4.96275 + 0.539731i 0.191442 + 0.0208206i
\(673\) −6.13764 + 11.5768i −0.236589 + 0.446253i −0.973167 0.230098i \(-0.926095\pi\)
0.736579 + 0.676352i \(0.236440\pi\)
\(674\) −23.1380 + 13.9217i −0.891243 + 0.536243i
\(675\) 4.14810 + 2.49583i 0.159660 + 0.0960645i
\(676\) −2.04419 3.85575i −0.0786226 0.148298i
\(677\) 4.92780 + 12.3678i 0.189391 + 0.475335i 0.992755 0.120153i \(-0.0383384\pi\)
−0.803365 + 0.595487i \(0.796959\pi\)
\(678\) −16.7166 + 3.67959i −0.641996 + 0.141314i
\(679\) 20.9059 4.60173i 0.802294 0.176598i
\(680\) 0.527176 + 1.32311i 0.0202163 + 0.0507390i
\(681\) 7.18290 + 13.5484i 0.275249 + 0.519175i
\(682\) −31.0706 18.6946i −1.18975 0.715852i
\(683\) −2.65466 + 1.59726i −0.101578 + 0.0611173i −0.565436 0.824792i \(-0.691292\pi\)
0.463859 + 0.885909i \(0.346465\pi\)
\(684\) −0.519542 + 0.979961i −0.0198652 + 0.0374697i
\(685\) 4.52973 + 0.492638i 0.173072 + 0.0188227i
\(686\) 1.74309 1.32506i 0.0665515 0.0505911i
\(687\) 10.3816 15.3117i 0.396082 0.584177i
\(688\) 2.41347 14.7215i 0.0920127 0.561253i
\(689\) 5.48471 13.7656i 0.208951 0.524427i
\(690\) 3.49920 0.380561i 0.133212 0.0144877i
\(691\) 31.5953 29.9287i 1.20194 1.13854i 0.215145 0.976582i \(-0.430978\pi\)
0.986798 0.161958i \(-0.0517809\pi\)
\(692\) 0.693943 + 0.816973i 0.0263798 + 0.0310567i
\(693\) −10.8098 + 5.00115i −0.410631 + 0.189978i
\(694\) −9.38806 13.8463i −0.356366 0.525600i
\(695\) −1.54451 0.520405i −0.0585865 0.0197401i
\(696\) −1.30399 + 4.69655i −0.0494276 + 0.178022i
\(697\) 6.98734 8.22614i 0.264665 0.311587i
\(698\) −1.17258 21.6269i −0.0443827 0.818591i
\(699\) 19.8674 6.69411i 0.751455 0.253195i
\(700\) 3.42043 + 2.60014i 0.129280 + 0.0982762i
\(701\) −3.35336 3.17648i −0.126655 0.119974i 0.621751 0.783215i \(-0.286422\pi\)
−0.748406 + 0.663241i \(0.769180\pi\)
\(702\) −0.400425 + 7.38541i −0.0151131 + 0.278744i
\(703\) 11.4193 + 41.1288i 0.430689 + 1.55120i
\(704\) −25.5996 11.8436i −0.964822 0.446374i
\(705\) −0.316495 1.93054i −0.0119199 0.0727082i
\(706\) 17.0880 + 3.76135i 0.643115 + 0.141560i
\(707\) 58.6527 2.20586
\(708\) 0.610546 1.74832i 0.0229457 0.0657058i
\(709\) 15.4285 0.579431 0.289716 0.957113i \(-0.406439\pi\)
0.289716 + 0.957113i \(0.406439\pi\)
\(710\) −0.775845 0.170777i −0.0291170 0.00640913i
\(711\) −0.276124 1.68428i −0.0103554 0.0631654i
\(712\) −49.3135 22.8148i −1.84810 0.855022i
\(713\) 15.0501 + 54.2054i 0.563629 + 2.03001i
\(714\) 0.317706 5.85974i 0.0118898 0.219295i
\(715\) 5.22247 + 4.94699i 0.195309 + 0.185007i
\(716\) 3.02354 + 2.29843i 0.112995 + 0.0858964i
\(717\) 20.5443 6.92219i 0.767242 0.258514i
\(718\) 1.86930 + 34.4772i 0.0697617 + 1.28668i
\(719\) 30.7928 36.2521i 1.14838 1.35197i 0.222148 0.975013i \(-0.428693\pi\)
0.926229 0.376961i \(-0.123031\pi\)
\(720\) −0.368993 + 1.32899i −0.0137515 + 0.0495286i
\(721\) −20.5763 6.93296i −0.766302 0.258197i
\(722\) 1.61171 + 2.37710i 0.0599817 + 0.0884664i
\(723\) −24.2517 + 11.2200i −0.901930 + 0.417277i
\(724\) −1.73308 2.04034i −0.0644093 0.0758285i
\(725\) −5.76366 + 5.45963i −0.214057 + 0.202765i
\(726\) −0.700835 + 0.0762204i −0.0260104 + 0.00282881i
\(727\) 5.86531 14.7208i 0.217532 0.545965i −0.779197 0.626779i \(-0.784373\pi\)
0.996729 + 0.0808144i \(0.0257521\pi\)
\(728\) −9.87179 + 60.2153i −0.365873 + 2.23173i
\(729\) −0.561187 + 0.827689i −0.0207847 + 0.0306551i
\(730\) −3.74491 + 2.84680i −0.138605 + 0.105365i
\(731\) 5.15254 + 0.560372i 0.190573 + 0.0207261i
\(732\) 0.319748 0.603108i 0.0118182 0.0222915i
\(733\) 7.12629 4.28775i 0.263216 0.158372i −0.377829 0.925876i \(-0.623329\pi\)
0.641044 + 0.767504i \(0.278502\pi\)
\(734\) 11.6805 + 7.02792i 0.431135 + 0.259405i
\(735\) 1.22343 + 2.30762i 0.0451267 + 0.0851180i
\(736\) 3.34145 + 8.38640i 0.123167 + 0.309127i
\(737\) 28.0812 6.18113i 1.03438 0.227685i
\(738\) 11.6304 2.56005i 0.428122 0.0942369i
\(739\) −2.34306 5.88063i −0.0861908 0.216323i 0.879563 0.475782i \(-0.157835\pi\)
−0.965754 + 0.259459i \(0.916456\pi\)
\(740\) −0.417709 0.787883i −0.0153553 0.0289632i
\(741\) −21.9843 13.2275i −0.807615 0.485926i
\(742\) −11.1154 + 6.68789i −0.408058 + 0.245520i
\(743\) −6.11405 + 11.5323i −0.224303 + 0.423080i −0.969965 0.243244i \(-0.921788\pi\)
0.745662 + 0.666324i \(0.232133\pi\)
\(744\) −24.9693 2.71558i −0.915419 0.0995578i
\(745\) −0.500121 + 0.380182i −0.0183230 + 0.0139288i
\(746\) 3.69060 5.44323i 0.135122 0.199291i
\(747\) −0.919281 + 5.60737i −0.0336347 + 0.205163i
\(748\) 0.347046 0.871020i 0.0126893 0.0318476i
\(749\) −29.5082 + 3.20921i −1.07820 + 0.117262i
\(750\) −3.77753 + 3.57827i −0.137936 + 0.130660i
\(751\) 27.7862 + 32.7124i 1.01393 + 1.19369i 0.980955 + 0.194236i \(0.0622227\pi\)
0.0329763 + 0.999456i \(0.489501\pi\)
\(752\) −15.4080 + 7.12851i −0.561872 + 0.259950i
\(753\) −9.57920 14.1283i −0.349085 0.514862i
\(754\) −11.4944 3.87290i −0.418600 0.141043i
\(755\) −0.106949 + 0.385196i −0.00389227 + 0.0140187i
\(756\) −0.574565 + 0.676431i −0.0208967 + 0.0246016i
\(757\) 0.488301 + 9.00619i 0.0177476 + 0.327335i 0.993903 + 0.110261i \(0.0351687\pi\)
−0.976155 + 0.217074i \(0.930349\pi\)
\(758\) −43.9528 + 14.8094i −1.59644 + 0.537903i
\(759\) −17.1473 13.0350i −0.622406 0.473141i
\(760\) −3.95767 3.74891i −0.143560 0.135987i
\(761\) 0.348741 6.43215i 0.0126419 0.233165i −0.985383 0.170351i \(-0.945510\pi\)
0.998025 0.0628140i \(-0.0200075\pi\)
\(762\) −1.26346 4.55056i −0.0457702 0.164849i
\(763\) −36.8581 17.0524i −1.33435 0.617338i
\(764\) 1.00811 + 6.14917i 0.0364720 + 0.222469i
\(765\) −0.467990 0.103012i −0.0169202 0.00372442i
\(766\) 5.17924 0.187133
\(767\) 39.6178 + 16.2918i 1.43051 + 0.588261i
\(768\) −5.69874 −0.205635
\(769\) −37.4682 8.24737i −1.35114 0.297408i −0.520329 0.853966i \(-0.674191\pi\)
−0.830809 + 0.556558i \(0.812122\pi\)
\(770\) −1.01882 6.21453i −0.0367157 0.223956i
\(771\) −12.4074 5.74028i −0.446842 0.206731i
\(772\) 0.601080 + 2.16490i 0.0216334 + 0.0779163i