Properties

Label 576.2.bm.a.205.73
Level $576$
Weight $2$
Character 576.205
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 205.73
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.73

$q$-expansion

\(f(q)\) \(=\) \(q+(1.06405 - 0.931551i) q^{2} +(1.31174 - 1.13108i) q^{3} +(0.264426 - 1.98244i) q^{4} +(2.27288 + 2.59172i) q^{5} +(0.342106 - 2.42548i) q^{6} +(-1.60468 - 0.211260i) q^{7} +(-1.56538 - 2.35575i) q^{8} +(0.441323 - 2.96736i) q^{9} +O(q^{10})\) \(q+(1.06405 - 0.931551i) q^{2} +(1.31174 - 1.13108i) q^{3} +(0.264426 - 1.98244i) q^{4} +(2.27288 + 2.59172i) q^{5} +(0.342106 - 2.42548i) q^{6} +(-1.60468 - 0.211260i) q^{7} +(-1.56538 - 2.35575i) q^{8} +(0.441323 - 2.96736i) q^{9} +(4.83279 + 0.640432i) q^{10} +(1.80389 + 3.65793i) q^{11} +(-1.89544 - 2.89954i) q^{12} +(-0.973813 - 2.86876i) q^{13} +(-1.90427 + 1.27005i) q^{14} +(5.91287 + 0.828860i) q^{15} +(-3.86016 - 1.04842i) q^{16} +(1.07915 + 1.07915i) q^{17} +(-2.29466 - 3.56855i) q^{18} +(1.23163 - 6.19184i) q^{19} +(5.73895 - 3.82054i) q^{20} +(-2.34388 + 1.53790i) q^{21} +(5.32698 + 2.21182i) q^{22} +(0.0343074 + 0.260591i) q^{23} +(-4.71792 - 1.31957i) q^{24} +(-0.898413 + 6.82412i) q^{25} +(-3.70859 - 2.14536i) q^{26} +(-2.77742 - 4.39158i) q^{27} +(-0.843130 + 3.12532i) q^{28} +(0.590744 - 0.0387194i) q^{29} +(7.06374 - 4.62619i) q^{30} +(-6.42245 + 3.70801i) q^{31} +(-5.08407 + 2.48036i) q^{32} +(6.50363 + 2.75791i) q^{33} +(2.15356 + 0.142992i) q^{34} +(-3.09972 - 4.63906i) q^{35} +(-5.76593 - 1.65954i) q^{36} +(2.25001 + 11.3115i) q^{37} +(-4.45749 - 7.73579i) q^{38} +(-4.52218 - 2.66161i) q^{39} +(2.54753 - 9.41138i) q^{40} +(1.59932 + 12.1480i) q^{41} +(-1.06138 + 3.81985i) q^{42} +(5.57461 - 2.74910i) q^{43} +(7.72862 - 2.60886i) q^{44} +(8.69365 - 5.60067i) q^{45} +(0.279258 + 0.245324i) q^{46} +(-2.98277 + 0.799230i) q^{47} +(-6.24937 + 2.99089i) q^{48} +(-4.23111 - 1.13372i) q^{49} +(5.40106 + 8.09816i) q^{50} +(2.63617 + 0.194961i) q^{51} +(-5.94466 + 1.17195i) q^{52} +(-5.17089 + 7.73878i) q^{53} +(-7.04630 - 2.08557i) q^{54} +(-5.38031 + 12.9892i) q^{55} +(2.01426 + 4.11094i) q^{56} +(-5.38788 - 9.51516i) q^{57} +(0.592515 - 0.591508i) q^{58} +(-5.38752 - 6.14329i) q^{59} +(3.20668 - 11.5028i) q^{60} +(-0.313505 - 4.78316i) q^{61} +(-3.37965 + 9.92837i) q^{62} +(-1.33507 + 4.66843i) q^{63} +(-3.09915 + 7.37531i) q^{64} +(5.22167 - 9.04420i) q^{65} +(9.48935 - 3.12390i) q^{66} +(-1.06049 - 0.522977i) q^{67} +(2.42471 - 1.85400i) q^{68} +(0.339751 + 0.303023i) q^{69} +(-7.61979 - 2.04866i) q^{70} +(-4.32944 - 10.4522i) q^{71} +(-7.68121 + 3.60541i) q^{72} +(-0.785731 + 1.89692i) q^{73} +(12.9314 + 9.94011i) q^{74} +(6.54014 + 9.96765i) q^{75} +(-11.9493 - 4.07893i) q^{76} +(-2.12189 - 6.25089i) q^{77} +(-7.29128 + 1.38055i) q^{78} +(1.57564 + 5.88038i) q^{79} +(-6.05647 - 12.3874i) q^{80} +(-8.61047 - 2.61913i) q^{81} +(13.0183 + 11.4363i) q^{82} +(-2.84708 - 2.49683i) q^{83} +(2.42902 + 5.05326i) q^{84} +(-0.344080 + 5.24964i) q^{85} +(3.37077 - 8.11823i) q^{86} +(0.731108 - 0.718967i) q^{87} +(5.79340 - 9.97557i) q^{88} +(16.7918 - 6.95540i) q^{89} +(4.03321 - 14.0580i) q^{90} +(0.956604 + 4.80917i) q^{91} +(0.525678 + 0.000894394i) q^{92} +(-4.23054 + 12.1282i) q^{93} +(-2.42930 + 3.62902i) q^{94} +(18.8469 - 10.8813i) q^{95} +(-3.86350 + 9.00407i) q^{96} +(-6.95005 - 4.01261i) q^{97} +(-5.55826 + 2.73515i) q^{98} +(11.6505 - 3.73847i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.06405 0.931551i 0.752400 0.658706i
\(3\) 1.31174 1.13108i 0.757333 0.653029i
\(4\) 0.264426 1.98244i 0.132213 0.991221i
\(5\) 2.27288 + 2.59172i 1.01646 + 1.15905i 0.987201 + 0.159482i \(0.0509824\pi\)
0.0292619 + 0.999572i \(0.490684\pi\)
\(6\) 0.342106 2.42548i 0.139664 0.990199i
\(7\) −1.60468 0.211260i −0.606512 0.0798488i −0.178986 0.983852i \(-0.557282\pi\)
−0.427526 + 0.904003i \(0.640615\pi\)
\(8\) −1.56538 2.35575i −0.553446 0.832885i
\(9\) 0.441323 2.96736i 0.147108 0.989121i
\(10\) 4.83279 + 0.640432i 1.52826 + 0.202522i
\(11\) 1.80389 + 3.65793i 0.543893 + 1.10291i 0.979251 + 0.202649i \(0.0649550\pi\)
−0.435358 + 0.900257i \(0.643378\pi\)
\(12\) −1.89544 2.89954i −0.547167 0.837024i
\(13\) −0.973813 2.86876i −0.270087 0.795651i −0.994352 0.106130i \(-0.966154\pi\)
0.724265 0.689522i \(-0.242179\pi\)
\(14\) −1.90427 + 1.27005i −0.508937 + 0.339435i
\(15\) 5.91287 + 0.828860i 1.52670 + 0.214011i
\(16\) −3.86016 1.04842i −0.965040 0.262104i
\(17\) 1.07915 + 1.07915i 0.261733 + 0.261733i 0.825758 0.564025i \(-0.190748\pi\)
−0.564025 + 0.825758i \(0.690748\pi\)
\(18\) −2.29466 3.56855i −0.540856 0.841115i
\(19\) 1.23163 6.19184i 0.282556 1.42051i −0.535095 0.844792i \(-0.679724\pi\)
0.817651 0.575714i \(-0.195276\pi\)
\(20\) 5.73895 3.82054i 1.28327 0.854298i
\(21\) −2.34388 + 1.53790i −0.511475 + 0.335598i
\(22\) 5.32698 + 2.21182i 1.13572 + 0.471561i
\(23\) 0.0343074 + 0.260591i 0.00715359 + 0.0543369i 0.994649 0.103309i \(-0.0329430\pi\)
−0.987496 + 0.157646i \(0.949610\pi\)
\(24\) −4.71792 1.31957i −0.963041 0.269355i
\(25\) −0.898413 + 6.82412i −0.179683 + 1.36482i
\(26\) −3.70859 2.14536i −0.727314 0.420740i
\(27\) −2.77742 4.39158i −0.534514 0.845159i
\(28\) −0.843130 + 3.12532i −0.159337 + 0.590631i
\(29\) 0.590744 0.0387194i 0.109698 0.00719001i −0.0104551 0.999945i \(-0.503328\pi\)
0.120153 + 0.992755i \(0.461661\pi\)
\(30\) 7.06374 4.62619i 1.28966 0.844622i
\(31\) −6.42245 + 3.70801i −1.15351 + 0.665978i −0.949739 0.313042i \(-0.898652\pi\)
−0.203768 + 0.979019i \(0.565319\pi\)
\(32\) −5.08407 + 2.48036i −0.898746 + 0.438470i
\(33\) 6.50363 + 2.75791i 1.13214 + 0.480090i
\(34\) 2.15356 + 0.142992i 0.369332 + 0.0245229i
\(35\) −3.09972 4.63906i −0.523948 0.784144i
\(36\) −5.76593 1.65954i −0.960988 0.276591i
\(37\) 2.25001 + 11.3115i 0.369899 + 1.85961i 0.497048 + 0.867723i \(0.334417\pi\)
−0.127149 + 0.991884i \(0.540583\pi\)
\(38\) −4.45749 7.73579i −0.723100 1.25491i
\(39\) −4.52218 2.66161i −0.724129 0.426199i
\(40\) 2.54753 9.41138i 0.402800 1.48807i
\(41\) 1.59932 + 12.1480i 0.249771 + 1.89720i 0.413191 + 0.910644i \(0.364414\pi\)
−0.163420 + 0.986557i \(0.552253\pi\)
\(42\) −1.06138 + 3.81985i −0.163774 + 0.589416i
\(43\) 5.57461 2.74910i 0.850121 0.419233i 0.0355990 0.999366i \(-0.488666\pi\)
0.814522 + 0.580133i \(0.196999\pi\)
\(44\) 7.72862 2.60886i 1.16513 0.393300i
\(45\) 8.69365 5.60067i 1.29597 0.834899i
\(46\) 0.279258 + 0.245324i 0.0411744 + 0.0361710i
\(47\) −2.98277 + 0.799230i −0.435081 + 0.116580i −0.469710 0.882821i \(-0.655642\pi\)
0.0346292 + 0.999400i \(0.488975\pi\)
\(48\) −6.24937 + 2.99089i −0.902018 + 0.431698i
\(49\) −4.23111 1.13372i −0.604445 0.161960i
\(50\) 5.40106 + 8.09816i 0.763825 + 1.14525i
\(51\) 2.63617 + 0.194961i 0.369138 + 0.0273000i
\(52\) −5.94466 + 1.17195i −0.824375 + 0.162521i
\(53\) −5.17089 + 7.73878i −0.710276 + 1.06300i 0.284274 + 0.958743i \(0.408247\pi\)
−0.994550 + 0.104260i \(0.966753\pi\)
\(54\) −7.04630 2.08557i −0.958880 0.283810i
\(55\) −5.38031 + 12.9892i −0.725480 + 1.75146i
\(56\) 2.01426 + 4.11094i 0.269167 + 0.549347i
\(57\) −5.38788 9.51516i −0.713642 1.26031i
\(58\) 0.592515 0.591508i 0.0778010 0.0776687i
\(59\) −5.38752 6.14329i −0.701395 0.799788i 0.285972 0.958238i \(-0.407684\pi\)
−0.987367 + 0.158450i \(0.949350\pi\)
\(60\) 3.20668 11.5028i 0.413981 1.48500i
\(61\) −0.313505 4.78316i −0.0401402 0.612421i −0.969785 0.243963i \(-0.921552\pi\)
0.929644 0.368458i \(-0.120114\pi\)
\(62\) −3.37965 + 9.92837i −0.429216 + 1.26090i
\(63\) −1.33507 + 4.66843i −0.168203 + 0.588167i
\(64\) −3.09915 + 7.37531i −0.387394 + 0.921914i
\(65\) 5.22167 9.04420i 0.647669 1.12180i
\(66\) 9.48935 3.12390i 1.16806 0.384526i
\(67\) −1.06049 0.522977i −0.129560 0.0638919i 0.376354 0.926476i \(-0.377178\pi\)
−0.505913 + 0.862584i \(0.668844\pi\)
\(68\) 2.42471 1.85400i 0.294039 0.224830i
\(69\) 0.339751 + 0.303023i 0.0409012 + 0.0364796i
\(70\) −7.61979 2.04866i −0.910739 0.244862i
\(71\) −4.32944 10.4522i −0.513810 1.24045i −0.941651 0.336592i \(-0.890726\pi\)
0.427841 0.903854i \(-0.359274\pi\)
\(72\) −7.68121 + 3.60541i −0.905240 + 0.424902i
\(73\) −0.785731 + 1.89692i −0.0919629 + 0.222018i −0.963168 0.268902i \(-0.913339\pi\)
0.871205 + 0.490920i \(0.163339\pi\)
\(74\) 12.9314 + 9.94011i 1.50325 + 1.15551i
\(75\) 6.54014 + 9.96765i 0.755190 + 1.15097i
\(76\) −11.9493 4.07893i −1.37068 0.467885i
\(77\) −2.12189 6.25089i −0.241812 0.712355i
\(78\) −7.29128 + 1.38055i −0.825574 + 0.156316i
\(79\) 1.57564 + 5.88038i 0.177274 + 0.661594i 0.996153 + 0.0876288i \(0.0279289\pi\)
−0.818880 + 0.573965i \(0.805404\pi\)
\(80\) −6.05647 12.3874i −0.677134 1.38495i
\(81\) −8.61047 2.61913i −0.956719 0.291014i
\(82\) 13.0183 + 11.4363i 1.43763 + 1.26293i
\(83\) −2.84708 2.49683i −0.312508 0.274062i 0.488695 0.872455i \(-0.337473\pi\)
−0.801203 + 0.598392i \(0.795806\pi\)
\(84\) 2.42902 + 5.05326i 0.265028 + 0.551356i
\(85\) −0.344080 + 5.24964i −0.0373207 + 0.569403i
\(86\) 3.37077 8.11823i 0.363480 0.875411i
\(87\) 0.731108 0.718967i 0.0783830 0.0770814i
\(88\) 5.79340 9.97557i 0.617578 1.06340i
\(89\) 16.7918 6.95540i 1.77993 0.737271i 0.787230 0.616659i \(-0.211514\pi\)
0.992700 0.120612i \(-0.0384856\pi\)
\(90\) 4.03321 14.0580i 0.425138 1.48184i
\(91\) 0.956604 + 4.80917i 0.100279 + 0.504138i
\(92\) 0.525678 0.000894394i 0.0548057 9.32470e-5i
\(93\) −4.23054 + 12.1282i −0.438687 + 1.25764i
\(94\) −2.42930 + 3.62902i −0.250564 + 0.374305i
\(95\) 18.8469 10.8813i 1.93365 1.11639i
\(96\) −3.86350 + 9.00407i −0.394317 + 0.918975i
\(97\) −6.95005 4.01261i −0.705670 0.407419i 0.103786 0.994600i \(-0.466904\pi\)
−0.809456 + 0.587181i \(0.800238\pi\)
\(98\) −5.55826 + 2.73515i −0.561469 + 0.276292i
\(99\) 11.6505 3.73847i 1.17092 0.375730i
\(100\) 13.2909 + 3.58553i 1.32909 + 0.358553i
\(101\) 0.371282 + 0.126033i 0.0369440 + 0.0125408i 0.339850 0.940480i \(-0.389624\pi\)
−0.302906 + 0.953020i \(0.597957\pi\)
\(102\) 2.98665 2.24828i 0.295722 0.222613i
\(103\) 4.52785 + 3.47434i 0.446143 + 0.342337i 0.807273 0.590178i \(-0.200942\pi\)
−0.361130 + 0.932515i \(0.617609\pi\)
\(104\) −5.23370 + 6.78477i −0.513207 + 0.665302i
\(105\) −9.31316 2.57921i −0.908871 0.251705i
\(106\) 1.70696 + 13.0514i 0.165795 + 1.26767i
\(107\) −0.707564 0.472779i −0.0684028 0.0457053i 0.520899 0.853619i \(-0.325597\pi\)
−0.589301 + 0.807913i \(0.700597\pi\)
\(108\) −9.44047 + 4.34483i −0.908410 + 0.418081i
\(109\) −3.52152 + 17.7039i −0.337300 + 1.69572i 0.324371 + 0.945930i \(0.394847\pi\)
−0.661672 + 0.749794i \(0.730153\pi\)
\(110\) 6.37517 + 18.8333i 0.607848 + 1.79568i
\(111\) 15.7457 + 12.2929i 1.49451 + 1.16679i
\(112\) 5.97283 + 2.49787i 0.564380 + 0.236027i
\(113\) 3.45007 + 0.924444i 0.324556 + 0.0869644i 0.417418 0.908715i \(-0.362935\pi\)
−0.0928626 + 0.995679i \(0.529602\pi\)
\(114\) −14.5969 5.10557i −1.36712 0.478181i
\(115\) −0.597402 + 0.681206i −0.0557080 + 0.0635228i
\(116\) 0.0794489 1.18135i 0.00737664 0.109686i
\(117\) −8.94242 + 1.62361i −0.826727 + 0.150103i
\(118\) −11.4554 1.51805i −1.05455 0.139748i
\(119\) −1.50371 1.95967i −0.137845 0.179643i
\(120\) −7.30331 15.2267i −0.666698 1.39001i
\(121\) −3.43003 + 4.47010i −0.311821 + 0.406373i
\(122\) −4.78935 4.79750i −0.433607 0.434346i
\(123\) 15.8382 + 14.1261i 1.42809 + 1.27371i
\(124\) 5.65265 + 13.7126i 0.507623 + 1.23143i
\(125\) −5.39712 + 3.60624i −0.482733 + 0.322552i
\(126\) 2.92830 + 6.21115i 0.260874 + 0.553333i
\(127\) −7.23150 −0.641692 −0.320846 0.947131i \(-0.603967\pi\)
−0.320846 + 0.947131i \(0.603967\pi\)
\(128\) 3.57281 + 10.7348i 0.315795 + 0.948827i
\(129\) 4.20300 9.91143i 0.370054 0.872652i
\(130\) −2.86899 14.4878i −0.251627 1.27066i
\(131\) 13.0766 + 6.44865i 1.14251 + 0.563421i 0.912220 0.409702i \(-0.134367\pi\)
0.230286 + 0.973123i \(0.426034\pi\)
\(132\) 7.18712 12.1638i 0.625558 1.05872i
\(133\) −3.28447 + 9.67573i −0.284799 + 0.838992i
\(134\) −1.61560 + 0.431427i −0.139567 + 0.0372696i
\(135\) 5.06901 17.1798i 0.436271 1.47860i
\(136\) 0.852930 4.23150i 0.0731381 0.362848i
\(137\) 1.11896 + 1.45826i 0.0955996 + 0.124588i 0.838704 0.544588i \(-0.183314\pi\)
−0.743104 + 0.669176i \(0.766647\pi\)
\(138\) 0.643795 + 0.00593758i 0.0548034 + 0.000505440i
\(139\) 2.79941 + 0.183483i 0.237443 + 0.0155629i 0.183660 0.982990i \(-0.441205\pi\)
0.0537831 + 0.998553i \(0.482872\pi\)
\(140\) −10.0163 + 4.91833i −0.846532 + 0.415675i
\(141\) −3.00862 + 4.42212i −0.253372 + 0.372410i
\(142\) −14.3435 7.08861i −1.20368 0.594863i
\(143\) 8.73706 8.73706i 0.730630 0.730630i
\(144\) −4.81461 + 10.9918i −0.401217 + 0.915983i
\(145\) 1.44304 + 1.44304i 0.119838 + 0.119838i
\(146\) 0.931019 + 2.75038i 0.0770517 + 0.227623i
\(147\) −6.83245 + 3.29857i −0.563531 + 0.272062i
\(148\) 23.0195 1.46945i 1.89219 0.120788i
\(149\) 1.20726 18.4192i 0.0989024 1.50896i −0.603606 0.797283i \(-0.706270\pi\)
0.702508 0.711676i \(-0.252063\pi\)
\(150\) 16.2444 + 4.51366i 1.32635 + 0.368539i
\(151\) 17.3581 13.3194i 1.41259 1.08392i 0.429034 0.903288i \(-0.358854\pi\)
0.983552 0.180627i \(-0.0578126\pi\)
\(152\) −16.5144 + 6.79118i −1.33950 + 0.550837i
\(153\) 3.67848 2.72598i 0.297388 0.220382i
\(154\) −8.08083 4.67464i −0.651172 0.376693i
\(155\) −24.2076 8.21737i −1.94440 0.660035i
\(156\) −6.47227 + 8.26117i −0.518196 + 0.661423i
\(157\) −2.94263 + 5.96707i −0.234848 + 0.476224i −0.982111 0.188304i \(-0.939701\pi\)
0.747263 + 0.664528i \(0.231367\pi\)
\(158\) 7.15444 + 4.78925i 0.569177 + 0.381013i
\(159\) 1.97031 + 15.9999i 0.156256 + 1.26888i
\(160\) −17.9839 7.53895i −1.42175 0.596006i
\(161\) 0.425412i 0.0335272i
\(162\) −11.6019 + 5.23420i −0.911528 + 0.411237i
\(163\) −12.2323 18.3069i −0.958106 1.43391i −0.900146 0.435588i \(-0.856541\pi\)
−0.0579596 0.998319i \(-0.518459\pi\)
\(164\) 24.5056 + 0.0416942i 1.91357 + 0.00325577i
\(165\) 7.63425 + 23.1240i 0.594326 + 1.80020i
\(166\) −5.35537 0.00455584i −0.415658 0.000353602i
\(167\) −1.09746 0.842113i −0.0849242 0.0651646i 0.565427 0.824799i \(-0.308711\pi\)
−0.650351 + 0.759634i \(0.725378\pi\)
\(168\) 7.29198 + 3.11419i 0.562588 + 0.240265i
\(169\) 3.03211 2.32662i 0.233240 0.178971i
\(170\) 4.52419 + 5.90643i 0.346989 + 0.453003i
\(171\) −17.8299 6.38730i −1.36349 0.488449i
\(172\) −3.97585 11.7783i −0.303156 0.898086i
\(173\) 6.26224 + 5.49183i 0.476109 + 0.417536i 0.863477 0.504389i \(-0.168282\pi\)
−0.387368 + 0.921925i \(0.626616\pi\)
\(174\) 0.108184 1.44608i 0.00820139 0.109627i
\(175\) 2.88333 10.7607i 0.217959 0.813436i
\(176\) −3.12826 16.0114i −0.235802 1.20690i
\(177\) −14.0156 1.96469i −1.05347 0.147675i
\(178\) 11.3881 23.0434i 0.853575 1.72717i
\(179\) −17.6225 3.50533i −1.31717 0.262001i −0.514018 0.857780i \(-0.671843\pi\)
−0.803148 + 0.595779i \(0.796843\pi\)
\(180\) −8.80418 18.7156i −0.656225 1.39498i
\(181\) 8.27397 12.3829i 0.614999 0.920412i −0.384997 0.922918i \(-0.625798\pi\)
0.999997 + 0.00250601i \(0.000797688\pi\)
\(182\) 5.49787 + 4.22610i 0.407529 + 0.313259i
\(183\) −5.82137 5.91967i −0.430328 0.437594i
\(184\) 0.560183 0.488744i 0.0412972 0.0360307i
\(185\) −24.2024 + 31.5412i −1.77940 + 2.31895i
\(186\) 6.79654 + 16.8461i 0.498347 + 1.23521i
\(187\) −2.00079 + 5.89412i −0.146312 + 0.431021i
\(188\) 0.795707 + 6.12450i 0.0580329 + 0.446675i
\(189\) 3.52910 + 7.63384i 0.256705 + 0.555280i
\(190\) 9.91768 29.1351i 0.719504 2.11368i
\(191\) 0.626829 1.08570i 0.0453558 0.0785585i −0.842456 0.538765i \(-0.818891\pi\)
0.887812 + 0.460206i \(0.152225\pi\)
\(192\) 4.27678 + 13.1799i 0.308650 + 0.951176i
\(193\) −6.00154 10.3950i −0.432001 0.748247i 0.565045 0.825060i \(-0.308859\pi\)
−0.997046 + 0.0768131i \(0.975526\pi\)
\(194\) −11.1332 + 2.20468i −0.799316 + 0.158287i
\(195\) −3.38023 17.7698i −0.242063 1.27252i
\(196\) −3.36636 + 8.08815i −0.240454 + 0.577725i
\(197\) 3.76844 0.749589i 0.268490 0.0534060i −0.0590091 0.998257i \(-0.518794\pi\)
0.327499 + 0.944851i \(0.393794\pi\)
\(198\) 8.91418 14.8310i 0.633503 1.05399i
\(199\) −4.63626 11.1929i −0.328656 0.793445i −0.998693 0.0511175i \(-0.983722\pi\)
0.670037 0.742328i \(-0.266278\pi\)
\(200\) 17.4823 8.56593i 1.23619 0.605703i
\(201\) −1.98262 + 0.513491i −0.139843 + 0.0362189i
\(202\) 0.512472 0.211762i 0.0360574 0.0148995i
\(203\) −0.956135 0.0626684i −0.0671075 0.00439846i
\(204\) 1.08357 5.17450i 0.0758650 0.362288i
\(205\) −27.8492 + 31.7560i −1.94507 + 2.21793i
\(206\) 8.05441 0.521033i 0.561178 0.0363021i
\(207\) 0.788407 + 0.0132020i 0.0547981 + 0.000917605i
\(208\) 0.751413 + 12.0948i 0.0521011 + 0.838626i
\(209\) 24.8710 6.66417i 1.72036 0.460970i
\(210\) −12.3124 + 5.93126i −0.849635 + 0.409296i
\(211\) −14.5664 + 4.94464i −1.00279 + 0.340403i −0.774078 0.633090i \(-0.781786\pi\)
−0.228716 + 0.973493i \(0.573453\pi\)
\(212\) 13.9744 + 12.2973i 0.959764 + 0.844584i
\(213\) −17.5013 8.81361i −1.19917 0.603899i
\(214\) −1.19330 + 0.156069i −0.0815726 + 0.0106686i
\(215\) 19.7953 + 8.19949i 1.35003 + 0.559201i
\(216\) −5.99775 + 13.4174i −0.408095 + 0.912939i
\(217\) 11.0893 4.59336i 0.752794 0.311817i
\(218\) 12.7450 + 22.1184i 0.863198 + 1.49805i
\(219\) 1.11489 + 3.37699i 0.0753375 + 0.228196i
\(220\) 24.3277 + 14.1008i 1.64017 + 0.950678i
\(221\) 2.04493 4.14672i 0.137557 0.278938i
\(222\) 28.2057 1.58760i 1.89304 0.106553i
\(223\) 25.6396 + 14.8030i 1.71696 + 0.991285i 0.924346 + 0.381556i \(0.124612\pi\)
0.792610 + 0.609729i \(0.208722\pi\)
\(224\) 8.68232 2.90612i 0.580112 0.194173i
\(225\) 19.8532 + 5.67756i 1.32354 + 0.378504i
\(226\) 4.53223 2.23026i 0.301480 0.148355i
\(227\) 7.40784 0.485536i 0.491676 0.0322261i 0.182451 0.983215i \(-0.441597\pi\)
0.309225 + 0.950989i \(0.399930\pi\)
\(228\) −20.2879 + 8.16510i −1.34360 + 0.540747i
\(229\) −6.07531 + 5.32790i −0.401468 + 0.352078i −0.836145 0.548509i \(-0.815196\pi\)
0.434677 + 0.900586i \(0.356862\pi\)
\(230\) −0.00109005 + 1.28135i −7.18759e−5 + 0.0844898i
\(231\) −9.85362 5.79952i −0.648321 0.381580i
\(232\) −1.01595 1.33104i −0.0667006 0.0873868i
\(233\) −9.03999 3.74449i −0.592229 0.245309i 0.0663801 0.997794i \(-0.478855\pi\)
−0.658609 + 0.752485i \(0.728855\pi\)
\(234\) −8.00275 + 10.0579i −0.523156 + 0.657507i
\(235\) −8.85085 5.91395i −0.577366 0.385784i
\(236\) −13.6033 + 9.05600i −0.885500 + 0.589495i
\(237\) 8.71800 + 5.93135i 0.566295 + 0.385283i
\(238\) −3.42557 0.684418i −0.222047 0.0443642i
\(239\) 0.473878 1.76854i 0.0306526 0.114397i −0.948904 0.315563i \(-0.897806\pi\)
0.979557 + 0.201166i \(0.0644731\pi\)
\(240\) −21.9556 9.39869i −1.41723 0.606683i
\(241\) −2.11557 7.89541i −0.136276 0.508588i −0.999989 0.00460500i \(-0.998534\pi\)
0.863714 0.503983i \(-0.168132\pi\)
\(242\) 0.514387 + 7.95168i 0.0330661 + 0.511153i
\(243\) −14.2571 + 6.30350i −0.914596 + 0.404370i
\(244\) −9.56525 0.643286i −0.612352 0.0411821i
\(245\) −6.67851 13.5427i −0.426675 0.865211i
\(246\) 30.0119 + 0.276794i 1.91349 + 0.0176477i
\(247\) −18.9623 + 2.49643i −1.20654 + 0.158844i
\(248\) 18.7887 + 9.32527i 1.19309 + 0.592155i
\(249\) −6.55874 0.0549099i −0.415643 0.00347977i
\(250\) −2.38344 + 8.86493i −0.150742 + 0.560668i
\(251\) −7.34166 + 1.46035i −0.463401 + 0.0921763i −0.421269 0.906936i \(-0.638415\pi\)
−0.0421325 + 0.999112i \(0.513415\pi\)
\(252\) 8.90188 + 3.88115i 0.560765 + 0.244489i
\(253\) −0.891334 + 0.595571i −0.0560377 + 0.0374432i
\(254\) −7.69472 + 6.73651i −0.482810 + 0.422687i
\(255\) 5.48641 + 7.27534i 0.343572 + 0.455600i
\(256\) 13.8016 + 8.09412i 0.862603 + 0.505882i
\(257\) 0.903161 + 1.56432i 0.0563377 + 0.0975797i 0.892819 0.450416i \(-0.148724\pi\)
−0.836481 + 0.547996i \(0.815391\pi\)
\(258\) −4.76077 14.4616i −0.296393 0.900340i
\(259\) −1.22086 18.6268i −0.0758607 1.15741i
\(260\) −16.5489 12.7432i −1.02632 0.790299i
\(261\) 0.145814 1.77004i 0.00902567 0.109563i
\(262\) 19.9214 5.31977i 1.23075 0.328657i
\(263\) −7.22481 0.951165i −0.445501 0.0586513i −0.0955613 0.995424i \(-0.530465\pi\)
−0.349940 + 0.936772i \(0.613798\pi\)
\(264\) −3.68373 19.6381i −0.226718 1.20864i
\(265\) −31.8096 + 4.18781i −1.95405 + 0.257255i
\(266\) 5.51858 + 13.3552i 0.338366 + 0.818857i
\(267\) 14.1594 28.1166i 0.866541 1.72070i
\(268\) −1.31719 + 1.96408i −0.0804605 + 0.119975i
\(269\) 3.84678 + 0.765173i 0.234542 + 0.0466534i 0.310962 0.950422i \(-0.399349\pi\)
−0.0764195 + 0.997076i \(0.524349\pi\)
\(270\) −10.6102 23.0023i −0.645715 1.39988i
\(271\) 0.732564 0.732564i 0.0445001 0.0445001i −0.684507 0.729007i \(-0.739982\pi\)
0.729007 + 0.684507i \(0.239982\pi\)
\(272\) −3.03429 5.29709i −0.183981 0.321184i
\(273\) 6.69437 + 5.22639i 0.405162 + 0.316315i
\(274\) 2.54909 + 0.509300i 0.153996 + 0.0307679i
\(275\) −26.5828 + 9.02364i −1.60300 + 0.544146i
\(276\) 0.690564 0.593410i 0.0415671 0.0357191i
\(277\) 12.8064 6.31544i 0.769465 0.379458i −0.0147950 0.999891i \(-0.504710\pi\)
0.784260 + 0.620432i \(0.213043\pi\)
\(278\) 3.14966 2.41256i 0.188904 0.144696i
\(279\) 8.16862 + 20.6942i 0.489042 + 1.23893i
\(280\) −6.07623 + 14.5641i −0.363124 + 0.870370i
\(281\) 2.72345 20.6866i 0.162467 1.23406i −0.694805 0.719198i \(-0.744510\pi\)
0.857273 0.514863i \(-0.172157\pi\)
\(282\) 0.918096 + 7.50807i 0.0546718 + 0.447099i
\(283\) 12.5197 10.9795i 0.744221 0.652665i −0.200815 0.979629i \(-0.564359\pi\)
0.945037 + 0.326964i \(0.106026\pi\)
\(284\) −21.8657 + 5.81903i −1.29749 + 0.345296i
\(285\) 12.4147 35.5907i 0.735381 2.10821i
\(286\) 1.15770 17.4357i 0.0684560 1.03100i
\(287\) 19.8316i 1.17062i
\(288\) 5.11641 + 16.1809i 0.301487 + 0.953470i
\(289\) 14.6709i 0.862992i
\(290\) 2.87974 + 0.191209i 0.169104 + 0.0112282i
\(291\) −13.6552 + 2.59755i −0.800484 + 0.152271i
\(292\) 3.55277 + 2.05926i 0.207910 + 0.120509i
\(293\) −2.72061 + 2.38591i −0.158940 + 0.139386i −0.735122 0.677935i \(-0.762875\pi\)
0.576182 + 0.817321i \(0.304542\pi\)
\(294\) −4.19731 + 9.87463i −0.244792 + 0.575900i
\(295\) 3.67651 27.9259i 0.214055 1.62591i
\(296\) 23.1251 23.0074i 1.34412 1.33728i
\(297\) 11.0539 18.0815i 0.641413 1.04920i
\(298\) −15.8738 20.7236i −0.919546 1.20049i
\(299\) 0.714163 0.352186i 0.0413011 0.0203675i
\(300\) 21.4897 10.3297i 1.24071 0.596388i
\(301\) −9.52625 + 3.23373i −0.549084 + 0.186389i
\(302\) 6.06234 30.3425i 0.348849 1.74602i
\(303\) 0.629580 0.254627i 0.0361684 0.0146279i
\(304\) −11.2459 + 22.6102i −0.644999 + 1.29678i
\(305\) 11.6841 11.6841i 0.669028 0.669028i
\(306\) 1.37472 6.32729i 0.0785877 0.361707i
\(307\) 12.2274 + 2.43217i 0.697852 + 0.138811i 0.531253 0.847213i \(-0.321721\pi\)
0.166599 + 0.986025i \(0.446721\pi\)
\(308\) −12.9531 + 2.55363i −0.738072 + 0.145507i
\(309\) 9.86912 0.563923i 0.561435 0.0320804i
\(310\) −33.4131 + 13.8069i −1.89774 + 0.784178i
\(311\) −11.6393 + 1.53234i −0.660005 + 0.0868913i −0.453086 0.891467i \(-0.649677\pi\)
−0.206919 + 0.978358i \(0.566344\pi\)
\(312\) 0.808853 + 14.8196i 0.0457923 + 0.838994i
\(313\) −3.53242 0.465052i −0.199664 0.0262863i 0.0300307 0.999549i \(-0.490439\pi\)
−0.229695 + 0.973263i \(0.573773\pi\)
\(314\) 2.42751 + 9.09050i 0.136992 + 0.513007i
\(315\) −15.1337 + 7.15066i −0.852689 + 0.402894i
\(316\) 12.0742 1.56870i 0.679224 0.0882461i
\(317\) −1.12783 17.2073i −0.0633452 0.966460i −0.904720 0.426008i \(-0.859920\pi\)
0.841374 0.540453i \(-0.181747\pi\)
\(318\) 17.0013 + 15.1894i 0.953385 + 0.851778i
\(319\) 1.20727 + 2.09105i 0.0675941 + 0.117076i
\(320\) −26.1588 + 8.73106i −1.46232 + 0.488081i
\(321\) −1.46289 + 0.180147i −0.0816505 + 0.0100548i
\(322\) −0.396293 0.452662i −0.0220846 0.0252259i
\(323\) 8.01105 5.35281i 0.445747 0.297838i
\(324\) −7.46910 + 16.3772i −0.414950 + 0.909844i
\(325\) 20.4517 4.06809i 1.13445 0.225657i
\(326\) −30.0696 8.08455i −1.66540 0.447762i
\(327\) 15.4052 + 27.2060i 0.851907 + 1.50449i
\(328\) 26.1142 22.7839i 1.44191 1.25803i
\(329\) 4.95523 0.652369i 0.273191 0.0359663i
\(330\) 29.6645 + 17.4935i 1.63297 + 0.962987i
\(331\) 7.59386 + 15.3988i 0.417396 + 0.846396i 0.999447 + 0.0332434i \(0.0105837\pi\)
−0.582051 + 0.813152i \(0.697750\pi\)
\(332\) −5.70266 + 4.98396i −0.312974 + 0.273530i
\(333\) 34.5584 1.68454i 1.89379 0.0923123i
\(334\) −1.95223 + 0.126288i −0.106821 + 0.00691018i
\(335\) −1.05496 3.93717i −0.0576387 0.215111i
\(336\) 10.6601 3.47918i 0.581556 0.189805i
\(337\) −5.44014 + 20.3029i −0.296343 + 1.10597i 0.643802 + 0.765192i \(0.277356\pi\)
−0.940145 + 0.340775i \(0.889310\pi\)
\(338\) 1.05897 5.30022i 0.0576003 0.288294i
\(339\) 5.57122 2.68967i 0.302587 0.146083i
\(340\) 10.3161 + 2.07026i 0.559471 + 0.112276i
\(341\) −25.1490 16.8040i −1.36190 0.909989i
\(342\) −24.9221 + 9.81300i −1.34763 + 0.530627i
\(343\) 17.0173 + 7.04881i 0.918850 + 0.380600i
\(344\) −15.2026 8.82903i −0.819669 0.476030i
\(345\) −0.0131380 + 1.56927i −0.000707325 + 0.0844869i
\(346\) 11.7793 + 0.0100207i 0.633258 + 0.000538716i
\(347\) −24.0669 + 21.1061i −1.29198 + 1.13304i −0.308655 + 0.951174i \(0.599879\pi\)
−0.983324 + 0.181862i \(0.941788\pi\)
\(348\) −1.23199 1.63949i −0.0660415 0.0878860i
\(349\) −6.86878 + 0.450203i −0.367677 + 0.0240988i −0.248122 0.968729i \(-0.579813\pi\)
−0.119555 + 0.992828i \(0.538147\pi\)
\(350\) −6.95615 14.1360i −0.371822 0.755600i
\(351\) −9.89370 + 12.2443i −0.528087 + 0.653554i
\(352\) −18.2441 14.1229i −0.972413 0.752752i
\(353\) 13.3066 + 7.68256i 0.708238 + 0.408901i 0.810408 0.585865i \(-0.199245\pi\)
−0.102170 + 0.994767i \(0.532579\pi\)
\(354\) −16.7435 + 10.9657i −0.889909 + 0.582819i
\(355\) 17.2489 34.9773i 0.915475 1.85640i
\(356\) −9.34850 35.1280i −0.495469 1.86178i
\(357\) −4.18902 0.869767i −0.221707 0.0460330i
\(358\) −22.0167 + 12.6864i −1.16362 + 0.670496i
\(359\) 7.88794 3.26729i 0.416309 0.172441i −0.164689 0.986345i \(-0.552662\pi\)
0.580999 + 0.813905i \(0.302662\pi\)
\(360\) −26.8027 11.7129i −1.41263 0.617325i
\(361\) −19.2683 7.98118i −1.01412 0.420062i
\(362\) −2.73132 20.8837i −0.143555 1.09762i
\(363\) 0.556730 + 9.74324i 0.0292207 + 0.511387i
\(364\) 9.78686 0.624744i 0.512971 0.0327455i
\(365\) −6.70217 + 2.27508i −0.350808 + 0.119083i
\(366\) −11.7087 0.875947i −0.612025 0.0457865i
\(367\) 0.539692 0.144610i 0.0281717 0.00754859i −0.244706 0.969597i \(-0.578691\pi\)
0.272877 + 0.962049i \(0.412025\pi\)
\(368\) 0.140776 1.04189i 0.00733845 0.0543122i
\(369\) 36.7534 + 0.615443i 1.91330 + 0.0320387i
\(370\) 3.62953 + 56.1073i 0.188691 + 2.91688i
\(371\) 9.93252 11.3259i 0.515671 0.588010i
\(372\) 22.9249 + 11.5938i 1.18860 + 0.601112i
\(373\) −18.2504 1.19619i −0.944969 0.0619366i −0.414878 0.909877i \(-0.636176\pi\)
−0.530091 + 0.847940i \(0.677842\pi\)
\(374\) 3.36173 + 8.13550i 0.173831 + 0.420677i
\(375\) −3.00068 + 10.8350i −0.154954 + 0.559518i
\(376\) 6.55196 + 5.77556i 0.337892 + 0.297852i
\(377\) −0.686351 1.65700i −0.0353489 0.0853397i
\(378\) 10.8665 + 4.83528i 0.558911 + 0.248700i
\(379\) 15.0624 2.99610i 0.773705 0.153899i 0.207579 0.978218i \(-0.433442\pi\)
0.566126 + 0.824319i \(0.308442\pi\)
\(380\) −16.5879 40.2402i −0.850940 2.06428i
\(381\) −9.48585 + 8.17940i −0.485975 + 0.419043i
\(382\) −0.344404 1.73917i −0.0176212 0.0889835i
\(383\) −5.94468 10.2965i −0.303759 0.526126i 0.673225 0.739437i \(-0.264908\pi\)
−0.976984 + 0.213311i \(0.931575\pi\)
\(384\) 16.8285 + 10.0401i 0.858773 + 0.512356i
\(385\) 11.3778 19.7069i 0.579865 1.00436i
\(386\) −16.0694 5.47009i −0.817912 0.278420i
\(387\) −5.69736 17.7551i −0.289613 0.902544i
\(388\) −9.79254 + 12.7170i −0.497141 + 0.645609i
\(389\) −6.02967 + 17.7628i −0.305716 + 0.900611i 0.680149 + 0.733074i \(0.261915\pi\)
−0.985866 + 0.167538i \(0.946418\pi\)
\(390\) −20.1502 15.7592i −1.02034 0.797996i
\(391\) −0.244194 + 0.318239i −0.0123494 + 0.0160941i
\(392\) 3.95254 + 11.7422i 0.199633 + 0.593069i
\(393\) 24.4470 6.33168i 1.23319 0.319391i
\(394\) 3.31155 4.30810i 0.166833 0.217039i
\(395\) −11.6591 + 17.4490i −0.586631 + 0.877956i
\(396\) −4.33061 24.0850i −0.217621 1.21032i
\(397\) −29.1515 5.79859i −1.46307 0.291023i −0.601586 0.798808i \(-0.705464\pi\)
−0.861484 + 0.507785i \(0.830464\pi\)
\(398\) −15.3600 7.59097i −0.769928 0.380501i
\(399\) 6.63564 + 16.4070i 0.332198 + 0.821379i
\(400\) 10.6225 25.4003i 0.531127 1.27001i
\(401\) 9.32155 34.7885i 0.465496 1.73726i −0.189743 0.981834i \(-0.560766\pi\)
0.655239 0.755421i \(-0.272568\pi\)
\(402\) −1.63127 + 2.39329i −0.0813605 + 0.119367i
\(403\) 16.8917 + 14.8136i 0.841433 + 0.737917i
\(404\) 0.348031 0.702720i 0.0173152 0.0349616i
\(405\) −12.7825 28.2689i −0.635168 1.40469i
\(406\) −1.07576 + 0.824006i −0.0533890 + 0.0408947i
\(407\) −37.3180 + 28.6351i −1.84979 + 1.41939i
\(408\) −3.66734 6.51536i −0.181560 0.322558i
\(409\) 6.44379 + 4.94449i 0.318625 + 0.244489i 0.755674 0.654948i \(-0.227310\pi\)
−0.437049 + 0.899438i \(0.643976\pi\)
\(410\) −0.0508152 + 59.7331i −0.00250958 + 2.95001i
\(411\) 3.11720 + 0.647225i 0.153760 + 0.0319253i
\(412\) 8.08497 8.05750i 0.398318 0.396965i
\(413\) 7.34741 + 10.9962i 0.361542 + 0.541087i
\(414\) 0.851207 0.720394i 0.0418345 0.0354054i
\(415\) 13.0538i 0.640788i
\(416\) 12.0665 + 12.1696i 0.591609 + 0.596663i
\(417\) 3.87964 2.92568i 0.189987 0.143271i
\(418\) 20.2561 30.2597i 0.990759 1.48005i
\(419\) −5.42846 + 11.0078i −0.265198 + 0.537768i −0.988217 0.153060i \(-0.951087\pi\)
0.723019 + 0.690828i \(0.242754\pi\)
\(420\) −7.57577 + 17.7808i −0.369660 + 0.867614i
\(421\) −23.4271 7.95243i −1.14177 0.387578i −0.314428 0.949281i \(-0.601813\pi\)
−0.827339 + 0.561704i \(0.810146\pi\)
\(422\) −10.8933 + 18.8307i −0.530278 + 0.916666i
\(423\) 1.05524 + 9.20366i 0.0513076 + 0.447497i
\(424\) 26.3251 + 0.0671848i 1.27846 + 0.00326278i
\(425\) −8.33378 + 6.39474i −0.404248 + 0.310190i
\(426\) −26.8327 + 6.92522i −1.30005 + 0.335528i
\(427\) −0.507417 + 7.74168i −0.0245556 + 0.374646i
\(428\) −1.12435 + 1.27769i −0.0543477 + 0.0617594i
\(429\) 1.57845 21.3431i 0.0762082 1.03045i
\(430\) 28.7016 9.71564i 1.38411 0.468530i
\(431\) 6.23557 + 6.23557i 0.300357 + 0.300357i 0.841153 0.540797i \(-0.181877\pi\)
−0.540797 + 0.841153i \(0.681877\pi\)
\(432\) 6.11707 + 19.8641i 0.294308 + 0.955711i
\(433\) 16.1373 16.1373i 0.775508 0.775508i −0.203555 0.979064i \(-0.565250\pi\)
0.979064 + 0.203555i \(0.0652496\pi\)
\(434\) 7.52072 15.2179i 0.361006 0.730481i
\(435\) 3.52508 + 0.260701i 0.169015 + 0.0124997i
\(436\) 34.1657 + 11.6626i 1.63624 + 0.558536i
\(437\) 1.65579 + 0.108526i 0.0792072 + 0.00519151i
\(438\) 4.33215 + 2.55472i 0.206998 + 0.122069i
\(439\) −19.1600 24.9698i −0.914456 1.19174i −0.981010 0.193959i \(-0.937867\pi\)
0.0665540 0.997783i \(-0.478800\pi\)
\(440\) 39.0216 7.65841i 1.86028 0.365100i
\(441\) −5.23145 + 12.0549i −0.249117 + 0.574043i
\(442\) −1.68696 6.31730i −0.0802403 0.300483i
\(443\) −11.5357 + 33.9832i −0.548079 + 1.61459i 0.220887 + 0.975299i \(0.429105\pi\)
−0.768966 + 0.639289i \(0.779229\pi\)
\(444\) 28.5335 27.9643i 1.35414 1.32713i
\(445\) 56.1923 + 27.7110i 2.66377 + 1.31363i
\(446\) 41.0717 8.13336i 1.94480 0.385126i
\(447\) −19.2499 25.5267i −0.910491 1.20737i
\(448\) 6.53126 11.1803i 0.308573 0.528219i
\(449\) −14.2668 −0.673290 −0.336645 0.941632i \(-0.609292\pi\)
−0.336645 + 0.941632i \(0.609292\pi\)
\(450\) 26.4138 12.4530i 1.24516 0.587040i
\(451\) −41.5515 + 27.7639i −1.95659 + 1.30735i
\(452\) 2.74495 6.59512i 0.129111 0.310209i
\(453\) 7.70411 37.1050i 0.361971 1.74334i
\(454\) 7.43005 7.41742i 0.348710 0.348117i
\(455\) −10.2898 + 13.4099i −0.482393 + 0.628667i
\(456\) −13.9813 + 27.5874i −0.654734 + 1.29190i
\(457\) 24.7142 + 32.2082i 1.15608 + 1.50664i 0.826882 + 0.562376i \(0.190113\pi\)
0.329201 + 0.944260i \(0.393221\pi\)
\(458\) −1.50125 + 11.3286i −0.0701487 + 0.529352i
\(459\) 1.74192 7.73643i 0.0813059 0.361106i
\(460\) 1.19248 + 1.36444i 0.0555999 + 0.0636175i
\(461\) 3.19334 3.64131i 0.148729 0.169593i −0.672678 0.739935i \(-0.734856\pi\)
0.821407 + 0.570343i \(0.193190\pi\)
\(462\) −15.8873 + 3.00814i −0.739146 + 0.139952i
\(463\) −31.7766 8.51450i −1.47678 0.395702i −0.571531 0.820580i \(-0.693650\pi\)
−0.905251 + 0.424878i \(0.860317\pi\)
\(464\) −2.32096 0.469883i −0.107748 0.0218138i
\(465\) −41.0486 + 16.6016i −1.90358 + 0.769882i
\(466\) −13.1072 + 4.43687i −0.607180 + 0.205534i
\(467\) −2.63233 + 13.2336i −0.121810 + 0.612379i 0.870861 + 0.491529i \(0.163562\pi\)
−0.992671 + 0.120850i \(0.961438\pi\)
\(468\) 0.854102 + 18.1572i 0.0394809 + 0.839315i
\(469\) 1.59127 + 1.06325i 0.0734780 + 0.0490964i
\(470\) −14.9269 + 1.95225i −0.688528 + 0.0900507i
\(471\) 2.88925 + 11.1556i 0.133130 + 0.514022i
\(472\) −6.03854 + 22.3083i −0.277946 + 1.02682i
\(473\) 20.1120 + 15.4325i 0.924750 + 0.709585i
\(474\) 14.8018 1.80998i 0.679869 0.0831352i
\(475\) 41.1474 + 13.9677i 1.88797 + 0.640880i
\(476\) −4.28256 + 2.46283i −0.196291 + 0.112884i
\(477\) 20.6817 + 18.7592i 0.946951 + 0.858924i
\(478\) −1.14325 2.32326i −0.0522911 0.106264i
\(479\) 32.3128 + 18.6558i 1.47641 + 0.852406i 0.999645 0.0266251i \(-0.00847603\pi\)
0.476765 + 0.879031i \(0.341809\pi\)
\(480\) −32.1173 + 10.4521i −1.46595 + 0.477069i
\(481\) 30.2590 17.4701i 1.37969 0.796566i
\(482\) −9.60605 6.43039i −0.437544 0.292896i
\(483\) −0.481175 0.558030i −0.0218942 0.0253913i
\(484\) 7.95473 + 7.98184i 0.361579 + 0.362811i
\(485\) −5.39704 27.1328i −0.245067 1.23204i
\(486\) −9.29834 + 19.9885i −0.421781 + 0.906698i
\(487\) 21.6006 8.94727i 0.978818 0.405440i 0.164830 0.986322i \(-0.447292\pi\)
0.813988 + 0.580882i \(0.197292\pi\)
\(488\) −10.7772 + 8.22602i −0.487861 + 0.372375i
\(489\) −36.7521 10.1782i −1.66199 0.460275i
\(490\) −19.7220 8.18879i −0.890950 0.369932i
\(491\) 1.66427 25.3919i 0.0751075 1.14592i −0.779416 0.626506i \(-0.784484\pi\)
0.854524 0.519412i \(-0.173849\pi\)
\(492\) 32.1922 27.6631i 1.45134 1.24715i
\(493\) 0.679286 + 0.595718i 0.0305935 + 0.0268298i
\(494\) −17.8514 + 20.3207i −0.803171 + 0.914271i
\(495\) 36.1692 + 21.6977i 1.62569 + 0.975241i
\(496\) 28.6792 7.58007i 1.28774 0.340355i
\(497\) 4.73923 + 17.6871i 0.212584 + 0.793373i
\(498\) −7.03001 + 6.05137i −0.315022 + 0.271169i
\(499\) 7.25035 + 21.3589i 0.324570 + 0.956154i 0.979671 + 0.200612i \(0.0642930\pi\)
−0.655100 + 0.755542i \(0.727374\pi\)
\(500\) 5.72203 + 11.6531i 0.255897 + 0.521141i
\(501\) −2.39208 + 0.136684i −0.106870 + 0.00610658i
\(502\) −6.45154 + 8.39302i −0.287946 + 0.374599i
\(503\) −6.54544 + 15.8021i −0.291847 + 0.704580i −0.999999 0.00147970i \(-0.999529\pi\)
0.708152 + 0.706060i \(0.249529\pi\)
\(504\) 13.0876 4.16280i 0.582967 0.185426i
\(505\) 0.517237 + 1.24872i 0.0230167 + 0.0555673i
\(506\) −0.393624 + 1.46404i −0.0174987 + 0.0650847i
\(507\) 1.34575 6.48148i 0.0597669 0.287853i
\(508\) −1.91220 + 14.3360i −0.0848400 + 0.636059i
\(509\) 22.0543 + 10.8760i 0.977538 + 0.482069i 0.859608 0.510953i \(-0.170708\pi\)
0.117930 + 0.993022i \(0.462374\pi\)
\(510\) 12.6152 + 2.63049i 0.558610 + 0.116480i
\(511\) 1.66159 2.87796i 0.0735045 0.127313i
\(512\) 22.2258 4.24435i 0.982250 0.187575i
\(513\) −30.6127 + 11.7885i −1.35158 + 0.520476i
\(514\) 2.41826 + 0.823183i 0.106665 + 0.0363090i
\(515\) 1.28673 + 19.6317i 0.0567001 + 0.865076i
\(516\) −18.5375 10.9530i −0.816066 0.482181i
\(517\) −8.30410 9.46902i −0.365214 0.416447i
\(518\) −18.6508 18.6826i −0.819471 0.820866i
\(519\) 14.4261 + 0.120776i 0.633236 + 0.00530147i
\(520\) −29.4798 + 1.85666i −1.29278 + 0.0814201i
\(521\) 14.1123 34.0701i 0.618271 1.49264i −0.235438 0.971889i \(-0.575653\pi\)
0.853709 0.520750i \(-0.174347\pi\)
\(522\) −1.49373 2.01925i −0.0653786 0.0883802i
\(523\) −7.30377 + 10.9309i −0.319371 + 0.477973i −0.956070 0.293140i \(-0.905300\pi\)
0.636698 + 0.771113i \(0.280300\pi\)
\(524\) 16.2419 24.2184i 0.709529 1.05798i
\(525\) −8.38906 17.3766i −0.366129 0.758376i
\(526\) −8.57366 + 5.71819i −0.373829 + 0.249325i
\(527\) −10.9323 2.92930i −0.476218 0.127602i
\(528\) −22.2136 17.4645i −0.966724 0.760044i
\(529\) 22.1496 5.93496i 0.963025 0.258042i
\(530\) −29.9460 + 34.0883i −1.30077 + 1.48070i
\(531\) −20.6070 + 13.2755i −0.894267 + 0.576109i
\(532\) 18.3131 + 9.06978i 0.793973 + 0.393225i
\(533\) 33.2923 16.4180i 1.44205 0.711140i
\(534\) −11.1256 43.1078i −0.481453 1.86546i
\(535\) −0.382895 2.90838i −0.0165540 0.125740i
\(536\) 0.428072 + 3.31692i 0.0184899 + 0.143269i
\(537\) −27.0809 + 15.3343i −1.16863 + 0.661725i
\(538\) 4.80599 2.76929i 0.207201 0.119392i
\(539\) −3.48538 17.5222i −0.150126 0.754735i
\(540\) −32.7176 14.5918i −1.40794 0.627932i
\(541\) −19.0818 28.5580i −0.820392 1.22780i −0.970969 0.239205i \(-0.923113\pi\)
0.150577 0.988598i \(-0.451887\pi\)
\(542\) 0.0970677 1.46191i 0.00416941 0.0627944i
\(543\) −3.15270 25.6016i −0.135296 1.09867i
\(544\) −8.16317 2.80980i −0.349993 0.120469i
\(545\) −53.8875 + 31.1120i −2.30829 + 1.33269i
\(546\) 11.9918 0.674980i 0.513203 0.0288865i
\(547\) 15.6911 1.02845i 0.670902 0.0439732i 0.273854 0.961771i \(-0.411701\pi\)
0.397048 + 0.917798i \(0.370035\pi\)
\(548\) 3.18681 1.83268i 0.136134 0.0782883i
\(549\) −14.3317 1.18064i −0.611663 0.0503883i
\(550\) −19.8796 + 34.3649i −0.847667 + 1.46532i
\(551\) 0.487836 3.70548i 0.0207825 0.157859i
\(552\) 0.182007 1.27472i 0.00774672 0.0542555i
\(553\) −1.28611 9.76900i −0.0546911 0.415420i
\(554\) 7.74361 18.6498i 0.328994 0.792356i
\(555\) 3.92830 + 68.7486i 0.166747 + 2.91822i
\(556\) 1.10398 5.50116i 0.0468193 0.233301i
\(557\) −6.21054 + 31.2225i −0.263149 + 1.32294i 0.592579 + 0.805512i \(0.298110\pi\)
−0.855728 + 0.517426i \(0.826890\pi\)
\(558\) 27.9695 + 14.4102i 1.18404 + 0.610034i
\(559\) −13.3151 13.3151i −0.563170 0.563170i
\(560\) 7.10173 + 21.1573i 0.300103 + 0.894059i
\(561\) 4.04221 + 9.99460i 0.170662 + 0.421972i
\(562\) −16.3727 24.5487i −0.690643 1.03553i
\(563\) 1.30066 + 3.83163i 0.0548163 + 0.161484i 0.970890 0.239527i \(-0.0769923\pi\)
−0.916073 + 0.401011i \(0.868659\pi\)
\(564\) 7.97105 + 7.13374i 0.335642 + 0.300385i
\(565\) 5.44570 + 11.0428i 0.229102 + 0.464573i
\(566\) 3.09371 23.3456i 0.130038 0.981288i
\(567\) 13.2637 + 6.02191i 0.557024 + 0.252897i
\(568\) −17.8455 + 26.5608i −0.748783 + 1.11446i
\(569\) 37.2766 + 4.90755i 1.56271 + 0.205735i 0.861702 0.507414i \(-0.169399\pi\)
0.701012 + 0.713149i \(0.252732\pi\)
\(570\) −19.9447 49.4353i −0.835390 2.07062i
\(571\) 11.7060 + 13.3482i 0.489882 + 0.558603i 0.942976 0.332859i \(-0.108013\pi\)
−0.453095 + 0.891462i \(0.649680\pi\)
\(572\) −15.0104 19.6310i −0.627617 0.820815i
\(573\) −0.405775 2.13315i −0.0169515 0.0891136i
\(574\) −18.4741 21.1019i −0.771094 0.880775i
\(575\) −1.80913 −0.0754457
\(576\) 20.5175 + 12.4512i 0.854896 + 0.518800i
\(577\) −12.0559 −0.501895 −0.250948 0.968001i \(-0.580742\pi\)
−0.250948 + 0.968001i \(0.580742\pi\)
\(578\) −13.6667 15.6106i −0.568458 0.649316i
\(579\) −19.6300 6.84729i −0.815795 0.284564i
\(580\) 3.24232 2.47917i 0.134630 0.102942i
\(581\) 4.04118 + 4.60808i 0.167656 + 0.191176i
\(582\) −12.1102 + 15.4845i −0.501983 + 0.641852i
\(583\) −37.6356 4.95482i −1.55871 0.205208i
\(584\) 5.69865 1.11842i 0.235812 0.0462806i
\(585\) −24.5330 19.4860i −1.01431 0.805647i
\(586\) −0.672280 + 5.07312i −0.0277716 + 0.209569i
\(587\) −12.2222 24.7842i −0.504466 1.02296i −0.988963 0.148163i \(-0.952664\pi\)
0.484497 0.874793i \(-0.339003\pi\)
\(588\) 4.73255 + 14.4172i 0.195167 + 0.594554i
\(589\) 15.0493 + 44.3337i 0.620094 + 1.82674i
\(590\) −22.1024 33.1396i −0.909941 1.36433i
\(591\) 4.09537 5.24567i 0.168461 0.215778i
\(592\) 3.17384 46.0233i 0.130444 1.89155i
\(593\) 32.3363 + 32.3363i 1.32789 + 1.32789i 0.907205 + 0.420689i \(0.138212\pi\)
0.420689 + 0.907205i \(0.361788\pi\)
\(594\) −5.08188 29.5370i −0.208512 1.21192i
\(595\) 1.66118 8.35130i 0.0681017 0.342370i
\(596\) −36.1958 7.26383i −1.48264 0.297538i
\(597\) −18.7416 9.43823i −0.767045 0.386281i
\(598\) 0.431829 1.04002i 0.0176588 0.0425298i
\(599\) 1.88537 + 14.3208i 0.0770343 + 0.585133i 0.985812 + 0.167853i \(0.0536834\pi\)
−0.908778 + 0.417280i \(0.862983\pi\)
\(600\) 13.2435 31.0101i 0.540664 1.26598i
\(601\) −3.30614 + 25.1126i −0.134860 + 1.02436i 0.781471 + 0.623942i \(0.214470\pi\)
−0.916331 + 0.400422i \(0.868864\pi\)
\(602\) −7.12407 + 12.3150i −0.290355 + 0.501924i
\(603\) −2.01988 + 2.91607i −0.0822560 + 0.118751i
\(604\) −21.8150 37.9335i −0.887638 1.54349i
\(605\) −19.3813 + 1.27032i −0.787962 + 0.0516458i
\(606\) 0.432710 0.857422i 0.0175776 0.0348304i
\(607\) −20.0414 + 11.5709i −0.813456 + 0.469649i −0.848155 0.529749i \(-0.822286\pi\)
0.0346983 + 0.999398i \(0.488953\pi\)
\(608\) 9.09628 + 34.5347i 0.368903 + 1.40057i
\(609\) −1.32508 + 0.999259i −0.0536951 + 0.0404920i
\(610\) 1.54819 23.3168i 0.0626842 0.944070i
\(611\) 5.19746 + 7.77854i 0.210267 + 0.314686i
\(612\) −4.43141 8.01320i −0.179129 0.323915i
\(613\) −1.97197 9.91379i −0.0796473 0.400414i −0.999957 0.00922452i \(-0.997064\pi\)
0.920310 0.391190i \(-0.127936\pi\)
\(614\) 15.2763 8.80244i 0.616500 0.355237i
\(615\) −0.612457 + 73.1552i −0.0246966 + 2.94990i
\(616\) −11.4040 + 14.7837i −0.459480 + 0.595652i
\(617\) 3.89535 + 29.5882i 0.156821 + 1.19117i 0.871026 + 0.491237i \(0.163455\pi\)
−0.714205 + 0.699937i \(0.753211\pi\)
\(618\) 9.97597 9.79363i 0.401292 0.393958i
\(619\) −16.6391 + 8.20548i −0.668781 + 0.329806i −0.744788 0.667301i \(-0.767449\pi\)
0.0760073 + 0.997107i \(0.475783\pi\)
\(620\) −22.6916 + 45.8173i −0.911316 + 1.84007i
\(621\) 1.04912 0.874433i 0.0420996 0.0350898i
\(622\) −10.9574 + 12.4731i −0.439352 + 0.500126i
\(623\) −28.4149 + 7.61375i −1.13842 + 0.305039i
\(624\) 14.6659 + 15.0154i 0.587105 + 0.601096i
\(625\) 11.6290 + 3.11598i 0.465160 + 0.124639i
\(626\) −4.19191 + 2.79579i −0.167542 + 0.111742i
\(627\) 25.0866 36.8727i 1.00186 1.47256i
\(628\) 11.0513 + 7.41145i 0.440993 + 0.295749i
\(629\) −9.77877 + 14.6350i −0.389905 + 0.583534i
\(630\) −9.44191 + 21.7065i −0.376175 + 0.864809i
\(631\) −2.55223 + 6.16162i −0.101603 + 0.245290i −0.966504 0.256651i \(-0.917381\pi\)
0.864901 + 0.501942i \(0.167381\pi\)
\(632\) 11.3862 12.9169i 0.452920 0.513805i
\(633\) −13.5146 + 22.9619i −0.537157 + 0.912652i
\(634\) −17.2296 17.2589i −0.684274 0.685439i
\(635\) −16.4363 18.7421i −0.652256 0.743756i
\(636\) 32.2400 + 0.324772i 1.27840 + 0.0128780i
\(637\) 0.867932 + 13.2421i 0.0343887 + 0.524671i
\(638\) 3.23252 + 1.10036i 0.127977 + 0.0435637i
\(639\) −32.9261 + 8.23422i −1.30254 + 0.325741i
\(640\) −19.7009 + 33.6586i −0.778748 + 1.33047i
\(641\) 5.39699 9.34785i 0.213168 0.369218i −0.739536 0.673117i \(-0.764955\pi\)
0.952704 + 0.303899i \(0.0982885\pi\)
\(642\) −1.38878 + 1.55444i −0.0548107 + 0.0613489i
\(643\) 21.1434 + 10.4268i 0.833816 + 0.411192i 0.808506 0.588487i \(-0.200276\pi\)
0.0253092 + 0.999680i \(0.491943\pi\)
\(644\) −0.843356 0.112490i −0.0332329 0.00443273i
\(645\) 35.2406 11.6345i 1.38760 0.458107i
\(646\) 3.53778 13.1584i 0.139192 0.517710i
\(647\) −11.4417 27.6227i −0.449819 1.08596i −0.972390 0.233363i \(-0.925027\pi\)
0.522570 0.852596i \(-0.324973\pi\)
\(648\) 7.30866 + 24.3841i 0.287111 + 0.957897i
\(649\) 12.7532 30.7889i 0.500607 1.20857i
\(650\) 17.9721 23.3804i 0.704922 0.917056i
\(651\) 9.35088 18.5682i 0.366490 0.727745i
\(652\) −39.5269 + 19.4090i −1.54799 + 0.760114i
\(653\) 2.75011 + 8.10157i 0.107620 + 0.317039i 0.987378 0.158384i \(-0.0506284\pi\)
−0.879757 + 0.475423i \(0.842295\pi\)
\(654\) 41.7357 + 14.5980i 1.63200 + 0.570826i
\(655\) 13.0084 + 48.5479i 0.508279 + 1.89692i
\(656\) 6.56258 48.5700i 0.256226 1.89634i
\(657\) 5.28209 + 3.16870i 0.206074 + 0.123623i
\(658\) 4.66492 5.31021i 0.181858 0.207013i
\(659\) 7.16711 + 6.28539i 0.279191 + 0.244844i 0.787476 0.616345i \(-0.211387\pi\)
−0.508285 + 0.861189i \(0.669721\pi\)
\(660\) 47.8607 9.01989i 1.86298 0.351099i
\(661\) −0.231369 + 3.53001i −0.00899922 + 0.137302i 0.990995 + 0.133899i \(0.0427498\pi\)
−0.999994 + 0.00340265i \(0.998917\pi\)
\(662\) 22.4251 + 9.31112i 0.871575 + 0.361887i
\(663\) −2.00784 7.75240i −0.0779781 0.301078i
\(664\) −1.42513 + 10.6155i −0.0553058 + 0.411962i
\(665\) −32.5420 + 13.4793i −1.26193 + 0.522707i
\(666\) 35.2028 33.9854i 1.36408 1.31691i
\(667\) 0.0303568 + 0.152614i 0.00117542 + 0.00590924i
\(668\) −1.95964 + 1.95298i −0.0758206 + 0.0755631i
\(669\) 50.3759 9.58268i 1.94765 0.370488i
\(670\) −4.79021 3.20661i −0.185062 0.123882i
\(671\) 16.9309 9.77508i 0.653611 0.377363i
\(672\) 8.10189 13.6325i 0.312537 0.525884i
\(673\) 12.0090 + 6.93341i 0.462914 + 0.267263i 0.713269 0.700891i \(-0.247214\pi\)
−0.250355 + 0.968154i \(0.580547\pi\)
\(674\) 13.1246 + 26.6711i 0.505539 + 1.02733i
\(675\) 32.4639 15.0080i 1.24954 0.577658i
\(676\) −3.81063 6.62621i −0.146563 0.254854i
\(677\) 26.4169 + 8.96734i 1.01529 + 0.344643i 0.778989 0.627038i \(-0.215733\pi\)
0.236297 + 0.971681i \(0.424066\pi\)
\(678\) 3.42251 8.05183i 0.131441 0.309229i
\(679\) 10.3049 + 7.90723i 0.395466 + 0.303452i
\(680\) 12.9055 7.40713i 0.494902 0.284050i
\(681\) 9.16798 9.01575i 0.351318 0.345484i
\(682\) −42.4137 + 5.54717i −1.62411 + 0.212412i
\(683\) −18.8173 12.5733i −0.720022 0.481103i 0.140781 0.990041i \(-0.455039\pi\)
−0.860804 + 0.508937i \(0.830039\pi\)
\(684\) −17.3771 + 33.6578i −0.664432 + 1.28694i
\(685\) −1.23614 + 6.21450i −0.0472305 + 0.237444i
\(686\) 24.6737 8.35220i 0.942047 0.318888i
\(687\) −1.94295 + 13.8605i −0.0741280 + 0.528810i
\(688\) −24.4011 + 4.76742i −0.930283 + 0.181756i
\(689\) 27.2362 + 7.29792i 1.03762 + 0.278028i
\(690\) 1.44788 + 1.68203i 0.0551198 + 0.0640339i
\(691\) 5.95200 6.78695i 0.226425 0.258188i −0.627462 0.778648i \(-0.715906\pi\)
0.853886 + 0.520460i \(0.174239\pi\)
\(692\) 12.5431 10.9623i 0.476819 0.416726i
\(693\) −19.4851 + 3.53776i −0.740178 + 0.134388i
\(694\) −5.94709 + 44.8776i −0.225749 + 1.70353i
\(695\) 5.88720 + 7.67234i 0.223314 + 0.291029i
\(696\) −2.83817 0.596850i −0.107581 0.0226235i
\(697\) −11.3836 + 14.8354i −0.431186 + 0.561932i
\(698\) −6.88937 + 6.87766i −0.260766 + 0.260323i
\(699\) −16.0934 + 5.31315i −0.608709 + 0.200962i
\(700\) −20.5701 8.56146i −0.777478 0.323593i
\(701\) −40.4210 + 27.0084i −1.52668 + 1.02009i −0.543090 + 0.839675i \(0.682746\pi\)
−0.983590 + 0.180420i \(0.942254\pi\)
\(702\) 0.878776 + 22.2451i 0.0331673 + 0.839588i
\(703\) 72.8105 2.74610
\(704\) −32.5689 + 1.96778i −1.22749 + 0.0741634i
\(705\) −18.2992 + 2.25345i −0.689186 + 0.0848697i
\(706\) 21.3156 4.22110i 0.802225 0.158863i
\(707\) −0.569164 0.280681i −0.0214056 0.0105561i
\(708\) −7.60095 + 27.2655i −0.285661 + 1.02470i
\(709\) −4.11454 + 12.1210i −0.154525 + 0.455216i −0.996431 0.0844080i \(-0.973100\pi\)
0.841906 + 0.539624i \(0.181433\pi\)
\(710\) −14.2293 53.2859i −0.534018 1.99979i
\(711\) 18.1446 2.08036i 0.680475 0.0780195i
\(712\) −42.6709 28.6695i −1.59916 1.07444i
\(713\) −1.18661 1.54642i −0.0444389 0.0579139i
\(714\) −5.26758 + 2.97681i −0.197134 + 0.111404i
\(715\) 42.5023 + 2.78575i 1.58950 + 0.104181i
\(716\) −11.6090 + 34.0087i −0.433847 + 1.27096i
\(717\) −1.37875 2.85586i −0.0514904 0.106654i
\(718\) 5.34955 10.8246i 0.199643 0.403970i
\(719\) 26.7738 26.7738i 0.998494 0.998494i −0.00150469 0.999999i \(-0.500479\pi\)
0.999999 + 0.00150469i \(0.000478957\pi\)
\(720\) −39.4307 + 12.5049i −1.46950 + 0.466030i
\(721\) −6.53177 6.53177i −0.243256 0.243256i
\(722\) −27.9374 + 9.45696i −1.03972 + 0.351952i
\(723\) −11.7054 7.96384i −0.435328 0.296179i
\(724\) −22.3605 19.6770i −0.831021 0.731291i
\(725\) −0.266506 + 4.06610i −0.00989778 + 0.151011i
\(726\) 9.66871 + 9.84872i 0.358840 + 0.365520i
\(727\) −42.1887 + 32.3725i −1.56469 + 1.20063i −0.681290 + 0.732014i \(0.738581\pi\)
−0.883402 + 0.468616i \(0.844753\pi\)
\(728\) 9.83178 9.78172i 0.364390 0.362535i
\(729\) −11.5719 + 24.3945i −0.428589 + 0.903500i
\(730\) −5.01212 + 8.66422i −0.185507 + 0.320677i
\(731\) 8.98254 + 3.04916i 0.332231 + 0.112777i
\(732\) −13.2747 + 9.97522i −0.490648 + 0.368695i
\(733\) 13.8419 28.0685i 0.511261 1.03673i −0.476268 0.879300i \(-0.658011\pi\)
0.987529 0.157435i \(-0.0503224\pi\)
\(734\) 0.439551 0.656624i 0.0162241 0.0242364i
\(735\) −24.0783 10.2106i −0.888142 0.376622i
\(736\) −0.820780 1.23977i −0.0302543 0.0456984i
\(737\) 4.82260i 0.177643i
\(738\) 39.6809 33.5828i 1.46067 1.23620i
\(739\) −15.9160 23.8199i −0.585478 0.876230i 0.413941 0.910304i \(-0.364152\pi\)
−0.999419 + 0.0340739i \(0.989152\pi\)
\(740\) 56.1288 + 56.3202i 2.06334 + 2.07037i
\(741\) −22.0499 + 24.7225i −0.810025 + 0.908204i
\(742\) 0.0181234 21.3040i 0.000665331 0.782094i
\(743\) −21.5800 16.5589i −0.791693 0.607488i 0.131723 0.991287i \(-0.457949\pi\)
−0.923417 + 0.383799i \(0.874616\pi\)
\(744\) 35.1936 9.01922i 1.29026 0.330661i
\(745\) 50.4814 38.7357i 1.84949 1.41917i
\(746\) −20.5337 + 15.7284i −0.751793 + 0.575856i
\(747\) −8.66547 + 7.34642i −0.317053 + 0.268792i
\(748\) 11.1557 + 5.52500i 0.407893 + 0.202014i
\(749\) 1.03553 + 0.908139i 0.0378376 + 0.0331827i
\(750\) 6.90049 + 14.3243i 0.251970 + 0.523051i
\(751\) −2.13145 + 7.95467i −0.0777776 + 0.290270i −0.993849 0.110746i \(-0.964676\pi\)
0.916071 + 0.401016i \(0.131343\pi\)
\(752\) 12.3519 + 0.0420314i 0.450427 + 0.00153273i
\(753\) −7.97858 + 10.2196i −0.290756 + 0.372422i
\(754\) −2.27389 1.12377i −0.0828103 0.0409251i
\(755\) 73.9731 + 14.7142i 2.69216 + 0.535503i
\(756\) 16.0668 4.97766i 0.584345 0.181036i
\(757\) −11.2174 + 16.7880i −0.407703 + 0.610170i −0.977327 0.211735i \(-0.932089\pi\)
0.569625 + 0.821905i \(0.307089\pi\)
\(758\) 13.2362 17.2194i 0.480761 0.625438i
\(759\) −0.495562 + 1.78940i −0.0179877 + 0.0649512i
\(760\) −55.1362 27.3653i −2.00000 0.992644i
\(761\) 25.1102 32.7243i 0.910246 1.18626i −0.0717636 0.997422i \(-0.522863\pi\)
0.982009 0.188833i \(-0.0604706\pi\)
\(762\) −2.47394 + 17.5399i −0.0896214 + 0.635403i
\(763\) 9.39104 27.6651i 0.339978 1.00154i
\(764\) −1.98659 1.52974i −0.0718722 0.0553440i
\(765\) 15.4257 + 3.33779i 0.557718 + 0.120678i
\(766\) −15.9172 5.41826i −0.575111 0.195770i
\(767\) −12.3772 + 21.4379i −0.446914 + 0.774078i
\(768\) 27.2592 4.99337i 0.983633 0.180183i
\(769\) −9.36979 16.2290i −0.337883 0.585231i 0.646151 0.763209i \(-0.276378\pi\)
−0.984034 + 0.177979i \(0.943044\pi\)
\(770\) −6.25139 31.5682i −0.225284 1.13764i
\(771\) 2.95408 + 1.03044i 0.106389 + 0.0371103i
\(772\) −22.1944 + 9.14902i −0.798794 + 0.329280i
\(773\)