Properties

Label 507.2.t.b.10.3
Level $507$
Weight $2$
Character 507.10
Analytic conductor $4.048$
Analytic rank $0$
Dimension $360$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 507 = 3 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 507.t (of order \(78\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.04841538248\)
Analytic rank: \(0\)
Dimension: \(360\)
Relative dimension: \(15\) over \(\Q(\zeta_{78})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{78}]$

Embedding invariants

Embedding label 10.3
Character \(\chi\) \(=\) 507.10
Dual form 507.2.t.b.355.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.83778 - 0.375186i) q^{2} +(-0.987050 + 0.160411i) q^{3} +(1.39672 + 0.595086i) q^{4} +(-0.959864 + 3.89432i) q^{5} +(1.87417 + 0.0755263i) q^{6} +(1.09680 - 0.520440i) q^{7} +(0.743728 + 0.513358i) q^{8} +(0.948536 - 0.316668i) q^{9} +O(q^{10})\) \(q+(-1.83778 - 0.375186i) q^{2} +(-0.987050 + 0.160411i) q^{3} +(1.39672 + 0.595086i) q^{4} +(-0.959864 + 3.89432i) q^{5} +(1.87417 + 0.0755263i) q^{6} +(1.09680 - 0.520440i) q^{7} +(0.743728 + 0.513358i) q^{8} +(0.948536 - 0.316668i) q^{9} +(3.22511 - 6.79678i) q^{10} +(0.488729 - 1.46392i) q^{11} +(-1.47409 - 0.363330i) q^{12} +(3.18414 + 1.69153i) q^{13} +(-2.21095 + 0.544950i) q^{14} +(0.322741 - 3.99786i) q^{15} +(-3.27760 - 3.41234i) q^{16} +(2.51381 + 5.29775i) q^{17} +(-1.86201 + 0.226089i) q^{18} +(0.135744 + 0.0783717i) q^{19} +(-3.65811 + 4.86806i) q^{20} +(-0.999117 + 0.689641i) q^{21} +(-1.44742 + 2.50700i) q^{22} +(-2.62322 - 4.54356i) q^{23} +(-0.816446 - 0.387408i) q^{24} +(-9.81711 - 5.15242i) q^{25} +(-5.21711 - 4.30330i) q^{26} +(-0.885456 + 0.464723i) q^{27} +(1.84163 - 0.0742153i) q^{28} +(-1.00384 + 4.91712i) q^{29} +(-2.09307 + 7.22611i) q^{30} +(2.75520 + 5.24959i) q^{31} +(3.77726 + 5.97326i) q^{32} +(-0.247570 + 1.52336i) q^{33} +(-2.63220 - 10.6792i) q^{34} +(0.973978 + 4.77086i) q^{35} +(1.51328 + 0.122165i) q^{36} +(3.10529 - 4.91063i) q^{37} +(-0.220063 - 0.194959i) q^{38} +(-3.41424 - 1.15885i) q^{39} +(-2.71306 + 2.40356i) q^{40} +(1.63757 + 10.0763i) q^{41} +(2.09490 - 0.892554i) q^{42} +(-3.48833 + 2.20589i) q^{43} +(1.55377 - 1.75385i) q^{44} +(0.322741 + 3.99786i) q^{45} +(3.11623 + 9.33426i) q^{46} +(3.35029 + 0.406799i) q^{47} +(3.78253 + 2.84239i) q^{48} +(-3.49500 + 4.28059i) q^{49} +(16.1086 + 13.1523i) q^{50} +(-3.33108 - 4.82590i) q^{51} +(3.44074 + 4.25742i) q^{52} +(-2.09308 + 3.03234i) q^{53} +(1.80163 - 0.521849i) q^{54} +(5.23186 + 3.30843i) q^{55} +(1.08290 + 0.175988i) q^{56} +(-0.146558 - 0.0555820i) q^{57} +(3.68967 - 8.65997i) q^{58} +(-10.7690 - 10.3437i) q^{59} +(2.82985 - 5.39183i) q^{60} +(-3.63272 + 0.293264i) q^{61} +(-3.09388 - 10.6813i) q^{62} +(0.875552 - 0.840979i) q^{63} +(-1.34510 - 3.54673i) q^{64} +(-9.64369 + 10.7764i) q^{65} +(1.02652 - 2.70672i) q^{66} +(-4.04330 - 9.48998i) q^{67} +(0.358472 + 8.89539i) q^{68} +(3.31809 + 4.06392i) q^{69} -9.13322i q^{70} +(-7.09252 + 5.79086i) q^{71} +(0.868017 + 0.251424i) q^{72} +(5.41543 + 6.11276i) q^{73} +(-7.54925 + 7.85960i) q^{74} +(10.5165 + 3.51092i) q^{75} +(0.142958 + 0.190242i) q^{76} +(-0.225844 - 1.85999i) q^{77} +(5.83985 + 3.41069i) q^{78} +(-1.60956 + 13.2559i) q^{79} +(16.4348 - 9.48864i) q^{80} +(0.799443 - 0.600742i) q^{81} +(0.771014 - 19.1325i) q^{82} +(-1.26698 + 0.480503i) q^{83} +(-1.80588 + 0.368673i) q^{84} +(-23.0440 + 4.70447i) q^{85} +(7.23841 - 2.74517i) q^{86} +(0.202076 - 5.01447i) q^{87} +(1.11500 - 0.837866i) q^{88} +(-4.98790 + 2.87976i) q^{89} +(0.906814 - 7.46829i) q^{90} +(4.37272 + 0.198122i) q^{91} +(-0.960097 - 7.90711i) q^{92} +(-3.56161 - 4.73965i) q^{93} +(-6.00447 - 2.00459i) q^{94} +(-0.435500 + 0.453404i) q^{95} +(-4.68652 - 5.28999i) q^{96} +(5.73060 + 1.65989i) q^{97} +(8.02905 - 6.55552i) q^{98} -1.54335i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + O(q^{10}) \) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + 6q^{11} - 28q^{12} + 6q^{13} + 4q^{14} - 6q^{15} + 20q^{16} - 6q^{19} - 12q^{20} - 28q^{22} + 46q^{23} - 6q^{25} - 39q^{26} + 30q^{27} - 6q^{28} + 43q^{29} + 26q^{31} - 195q^{32} + 19q^{33} + 65q^{34} + 84q^{35} - 14q^{36} - 65q^{38} - 2q^{39} + 12q^{41} - 128q^{42} + 83q^{43} - 39q^{44} - 6q^{45} - 20q^{48} + 72q^{49} - 52q^{50} - 55q^{52} + 49q^{53} - 49q^{55} - 2q^{56} + 26q^{57} + 26q^{58} - 202q^{59} - 182q^{60} - 3q^{61} - 65q^{62} - 3q^{63} - 14q^{64} - 58q^{65} + 48q^{66} - 41q^{67} + 139q^{68} + 6q^{69} - 60q^{71} - 52q^{73} - 269q^{74} + 23q^{75} - 14q^{76} + 70q^{77} - 65q^{78} + 18q^{79} + 492q^{80} + 15q^{81} - 65q^{82} + 78q^{83} - 6q^{84} - 91q^{85} - 169q^{86} + 48q^{87} - 522q^{88} - 12q^{89} + 373q^{91} + 72q^{92} - 3q^{93} - 13q^{94} - 110q^{95} + 65q^{96} - 121q^{97} - 104q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).

\(n\) \(170\) \(340\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{78}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.83778 0.375186i −1.29951 0.265296i −0.500038 0.866003i \(-0.666681\pi\)
−0.799469 + 0.600707i \(0.794886\pi\)
\(3\) −0.987050 + 0.160411i −0.569874 + 0.0926135i
\(4\) 1.39672 + 0.595086i 0.698359 + 0.297543i
\(5\) −0.959864 + 3.89432i −0.429264 + 1.74159i 0.214834 + 0.976651i \(0.431079\pi\)
−0.644098 + 0.764943i \(0.722767\pi\)
\(6\) 1.87417 + 0.0755263i 0.765125 + 0.0308335i
\(7\) 1.09680 0.520440i 0.414553 0.196708i −0.209981 0.977705i \(-0.567340\pi\)
0.624534 + 0.780998i \(0.285289\pi\)
\(8\) 0.743728 + 0.513358i 0.262948 + 0.181500i
\(9\) 0.948536 0.316668i 0.316179 0.105556i
\(10\) 3.22511 6.79678i 1.01987 2.14933i
\(11\) 0.488729 1.46392i 0.147357 0.441389i −0.848826 0.528672i \(-0.822690\pi\)
0.996184 + 0.0872831i \(0.0278185\pi\)
\(12\) −1.47409 0.363330i −0.425533 0.104884i
\(13\) 3.18414 + 1.69153i 0.883121 + 0.469145i
\(14\) −2.21095 + 0.544950i −0.590901 + 0.145644i
\(15\) 0.322741 3.99786i 0.0833313 1.03224i
\(16\) −3.27760 3.41234i −0.819400 0.853086i
\(17\) 2.51381 + 5.29775i 0.609689 + 1.28489i 0.940050 + 0.341037i \(0.110778\pi\)
−0.330361 + 0.943855i \(0.607170\pi\)
\(18\) −1.86201 + 0.226089i −0.438880 + 0.0532897i
\(19\) 0.135744 + 0.0783717i 0.0311418 + 0.0179797i 0.515490 0.856896i \(-0.327610\pi\)
−0.484348 + 0.874875i \(0.660943\pi\)
\(20\) −3.65811 + 4.86806i −0.817979 + 1.08853i
\(21\) −0.999117 + 0.689641i −0.218025 + 0.150492i
\(22\) −1.44742 + 2.50700i −0.308591 + 0.534495i
\(23\) −2.62322 4.54356i −0.546980 0.947397i −0.998479 0.0551258i \(-0.982444\pi\)
0.451499 0.892271i \(-0.350889\pi\)
\(24\) −0.816446 0.387408i −0.166656 0.0790794i
\(25\) −9.81711 5.15242i −1.96342 1.03048i
\(26\) −5.21711 4.30330i −1.02316 0.843947i
\(27\) −0.885456 + 0.464723i −0.170406 + 0.0894360i
\(28\) 1.84163 0.0742153i 0.348036 0.0140254i
\(29\) −1.00384 + 4.91712i −0.186408 + 0.913087i 0.773720 + 0.633527i \(0.218394\pi\)
−0.960128 + 0.279560i \(0.909812\pi\)
\(30\) −2.09307 + 7.22611i −0.382140 + 1.31930i
\(31\) 2.75520 + 5.24959i 0.494848 + 0.942855i 0.996950 + 0.0780460i \(0.0248681\pi\)
−0.502101 + 0.864809i \(0.667440\pi\)
\(32\) 3.77726 + 5.97326i 0.667731 + 1.05593i
\(33\) −0.247570 + 1.52336i −0.0430964 + 0.265183i
\(34\) −2.63220 10.6792i −0.451418 1.83148i
\(35\) 0.973978 + 4.77086i 0.164632 + 0.806423i
\(36\) 1.51328 + 0.122165i 0.252214 + 0.0203608i
\(37\) 3.10529 4.91063i 0.510507 0.807302i −0.487318 0.873225i \(-0.662025\pi\)
0.997825 + 0.0659224i \(0.0209990\pi\)
\(38\) −0.220063 0.194959i −0.0356990 0.0316266i
\(39\) −3.41424 1.15885i −0.546717 0.185565i
\(40\) −2.71306 + 2.40356i −0.428972 + 0.380036i
\(41\) 1.63757 + 10.0763i 0.255745 + 1.57366i 0.723831 + 0.689978i \(0.242380\pi\)
−0.468086 + 0.883683i \(0.655056\pi\)
\(42\) 2.09490 0.892554i 0.323250 0.137724i
\(43\) −3.48833 + 2.20589i −0.531966 + 0.336395i −0.773293 0.634049i \(-0.781392\pi\)
0.241327 + 0.970444i \(0.422417\pi\)
\(44\) 1.55377 1.75385i 0.234240 0.264403i
\(45\) 0.322741 + 3.99786i 0.0481114 + 0.595966i
\(46\) 3.11623 + 9.33426i 0.459464 + 1.37626i
\(47\) 3.35029 + 0.406799i 0.488690 + 0.0593377i 0.361173 0.932499i \(-0.382376\pi\)
0.127516 + 0.991836i \(0.459299\pi\)
\(48\) 3.78253 + 2.84239i 0.545962 + 0.410264i
\(49\) −3.49500 + 4.28059i −0.499285 + 0.611513i
\(50\) 16.1086 + 13.1523i 2.27810 + 1.86001i
\(51\) −3.33108 4.82590i −0.466444 0.675761i
\(52\) 3.44074 + 4.25742i 0.477144 + 0.590398i
\(53\) −2.09308 + 3.03234i −0.287506 + 0.416525i −0.939950 0.341313i \(-0.889129\pi\)
0.652444 + 0.757837i \(0.273744\pi\)
\(54\) 1.80163 0.521849i 0.245171 0.0710147i
\(55\) 5.23186 + 3.30843i 0.705464 + 0.446109i
\(56\) 1.08290 + 0.175988i 0.144708 + 0.0235174i
\(57\) −0.146558 0.0555820i −0.0194120 0.00736201i
\(58\) 3.68967 8.65997i 0.484477 1.13711i
\(59\) −10.7690 10.3437i −1.40200 1.34664i −0.863810 0.503817i \(-0.831929\pi\)
−0.538191 0.842823i \(-0.680892\pi\)
\(60\) 2.82985 5.39183i 0.365332 0.696082i
\(61\) −3.63272 + 0.293264i −0.465123 + 0.0375486i −0.310807 0.950473i \(-0.600599\pi\)
−0.154316 + 0.988022i \(0.549317\pi\)
\(62\) −3.09388 10.6813i −0.392923 1.35653i
\(63\) 0.875552 0.840979i 0.110309 0.105953i
\(64\) −1.34510 3.54673i −0.168137 0.443341i
\(65\) −9.64369 + 10.7764i −1.19615 + 1.33665i
\(66\) 1.02652 2.70672i 0.126356 0.333174i
\(67\) −4.04330 9.48998i −0.493968 1.15939i −0.961350 0.275330i \(-0.911213\pi\)
0.467382 0.884056i \(-0.345197\pi\)
\(68\) 0.358472 + 8.89539i 0.0434711 + 1.07872i
\(69\) 3.31809 + 4.06392i 0.399451 + 0.489239i
\(70\) 9.13322i 1.09163i
\(71\) −7.09252 + 5.79086i −0.841727 + 0.687249i −0.951815 0.306673i \(-0.900784\pi\)
0.110088 + 0.993922i \(0.464887\pi\)
\(72\) 0.868017 + 0.251424i 0.102297 + 0.0296306i
\(73\) 5.41543 + 6.11276i 0.633829 + 0.715445i 0.974412 0.224770i \(-0.0721630\pi\)
−0.340583 + 0.940214i \(0.610625\pi\)
\(74\) −7.54925 + 7.85960i −0.877582 + 0.913660i
\(75\) 10.5165 + 3.51092i 1.21434 + 0.405406i
\(76\) 0.142958 + 0.190242i 0.0163984 + 0.0218223i
\(77\) −0.225844 1.85999i −0.0257373 0.211965i
\(78\) 5.83985 + 3.41069i 0.661233 + 0.386185i
\(79\) −1.60956 + 13.2559i −0.181090 + 1.49141i 0.564739 + 0.825269i \(0.308977\pi\)
−0.745829 + 0.666138i \(0.767946\pi\)
\(80\) 16.4348 9.48864i 1.83747 1.06086i
\(81\) 0.799443 0.600742i 0.0888270 0.0667491i
\(82\) 0.771014 19.1325i 0.0851442 2.11283i
\(83\) −1.26698 + 0.480503i −0.139069 + 0.0527420i −0.423158 0.906056i \(-0.639078\pi\)
0.284088 + 0.958798i \(0.408309\pi\)
\(84\) −1.80588 + 0.368673i −0.197038 + 0.0402255i
\(85\) −23.0440 + 4.70447i −2.49948 + 0.510272i
\(86\) 7.23841 2.74517i 0.780538 0.296019i
\(87\) 0.202076 5.01447i 0.0216649 0.537608i
\(88\) 1.11500 0.837866i 0.118859 0.0893168i
\(89\) −4.98790 + 2.87976i −0.528716 + 0.305254i −0.740494 0.672064i \(-0.765408\pi\)
0.211777 + 0.977318i \(0.432075\pi\)
\(90\) 0.906814 7.46829i 0.0955866 0.787226i
\(91\) 4.37272 + 0.198122i 0.458385 + 0.0207689i
\(92\) −0.960097 7.90711i −0.100097 0.824373i
\(93\) −3.56161 4.73965i −0.369322 0.491479i
\(94\) −6.00447 2.00459i −0.619314 0.206757i
\(95\) −0.435500 + 0.453404i −0.0446814 + 0.0465182i
\(96\) −4.68652 5.28999i −0.478316 0.539907i
\(97\) 5.73060 + 1.65989i 0.581855 + 0.168536i 0.556076 0.831131i \(-0.312306\pi\)
0.0257785 + 0.999668i \(0.491794\pi\)
\(98\) 8.02905 6.55552i 0.811057 0.662208i
\(99\) 1.54335i 0.155112i
\(100\) −10.6456 13.0385i −1.06456 1.30385i
\(101\) −0.567510 14.0826i −0.0564694 1.40127i −0.740616 0.671928i \(-0.765466\pi\)
0.684147 0.729344i \(-0.260175\pi\)
\(102\) 4.31118 + 10.1187i 0.426871 + 1.00190i
\(103\) 0.761721 2.00849i 0.0750546 0.197903i −0.892238 0.451565i \(-0.850866\pi\)
0.967293 + 0.253662i \(0.0816352\pi\)
\(104\) 1.49977 + 2.89264i 0.147065 + 0.283647i
\(105\) −1.72667 4.55284i −0.168505 0.444312i
\(106\) 4.98431 4.78749i 0.484119 0.465003i
\(107\) −3.08887 10.6640i −0.298613 1.03093i −0.959794 0.280704i \(-0.909432\pi\)
0.661182 0.750226i \(-0.270055\pi\)
\(108\) −1.51328 + 0.122165i −0.145616 + 0.0117553i
\(109\) 5.21251 9.93161i 0.499268 0.951276i −0.497227 0.867621i \(-0.665648\pi\)
0.996495 0.0836549i \(-0.0266594\pi\)
\(110\) −8.37375 8.04309i −0.798405 0.766879i
\(111\) −2.27736 + 5.34516i −0.216157 + 0.507340i
\(112\) −5.37081 2.03688i −0.507494 0.192467i
\(113\) −8.79942 1.43005i −0.827780 0.134527i −0.268263 0.963346i \(-0.586449\pi\)
−0.559518 + 0.828818i \(0.689014\pi\)
\(114\) 0.248487 + 0.157134i 0.0232730 + 0.0147169i
\(115\) 20.2120 5.85448i 1.88478 0.545933i
\(116\) −4.32819 + 6.27046i −0.401862 + 0.582198i
\(117\) 3.55592 + 0.596162i 0.328745 + 0.0551152i
\(118\) 15.9102 + 23.0499i 1.46465 + 2.12192i
\(119\) 5.51432 + 4.50230i 0.505497 + 0.412725i
\(120\) 2.29237 2.80764i 0.209264 0.256301i
\(121\) 6.88966 + 5.17725i 0.626333 + 0.470659i
\(122\) 6.78618 + 0.823991i 0.614392 + 0.0746007i
\(123\) −3.23272 9.68317i −0.291484 0.873102i
\(124\) 0.724277 + 8.97178i 0.0650420 + 0.805689i
\(125\) 16.1898 18.2745i 1.44806 1.63452i
\(126\) −1.92460 + 1.21704i −0.171457 + 0.108423i
\(127\) −7.32427 + 3.12058i −0.649924 + 0.276907i −0.691661 0.722222i \(-0.743121\pi\)
0.0417376 + 0.999129i \(0.486711\pi\)
\(128\) −1.12606 6.92890i −0.0995302 0.612434i
\(129\) 3.08931 2.73689i 0.271999 0.240970i
\(130\) 21.7662 16.1865i 1.90902 1.41965i
\(131\) 2.32810 + 2.06252i 0.203407 + 0.180203i 0.758676 0.651468i \(-0.225846\pi\)
−0.555269 + 0.831671i \(0.687385\pi\)
\(132\) −1.25232 + 1.98038i −0.109000 + 0.172370i
\(133\) 0.189672 + 0.0153119i 0.0164467 + 0.00132771i
\(134\) 3.87020 + 18.9575i 0.334334 + 1.63768i
\(135\) −0.959864 3.89432i −0.0826119 0.335170i
\(136\) −0.850050 + 5.23057i −0.0728912 + 0.448518i
\(137\) −8.66002 13.6947i −0.739876 1.17002i −0.979946 0.199264i \(-0.936145\pi\)
0.240070 0.970756i \(-0.422830\pi\)
\(138\) −4.57320 8.71351i −0.389297 0.741743i
\(139\) −5.44986 + 18.8151i −0.462251 + 1.59587i 0.303563 + 0.952812i \(0.401824\pi\)
−0.765813 + 0.643063i \(0.777663\pi\)
\(140\) −1.47870 + 7.24314i −0.124973 + 0.612157i
\(141\) −3.37216 + 0.135893i −0.283987 + 0.0114443i
\(142\) 15.2072 7.98133i 1.27616 0.669778i
\(143\) 4.03244 3.83463i 0.337210 0.320668i
\(144\) −4.18950 2.19882i −0.349125 0.183235i
\(145\) −18.1853 8.62903i −1.51021 0.716602i
\(146\) −7.65896 13.2657i −0.633860 1.09788i
\(147\) 2.76308 4.78580i 0.227895 0.394726i
\(148\) 7.25946 5.01084i 0.596724 0.411889i
\(149\) 1.45262 1.93309i 0.119003 0.158365i −0.736010 0.676971i \(-0.763292\pi\)
0.855013 + 0.518606i \(0.173549\pi\)
\(150\) −18.0098 10.3979i −1.47049 0.848988i
\(151\) −0.0734972 + 0.00892418i −0.00598112 + 0.000726239i −0.123527 0.992341i \(-0.539420\pi\)
0.117546 + 0.993067i \(0.462497\pi\)
\(152\) 0.0607237 + 0.127972i 0.00492534 + 0.0103799i
\(153\) 4.06207 + 4.22906i 0.328399 + 0.341899i
\(154\) −0.282790 + 3.50299i −0.0227879 + 0.282279i
\(155\) −23.0882 + 5.69073i −1.85449 + 0.457091i
\(156\) −4.07912 3.65036i −0.326591 0.292262i
\(157\) 7.31977 + 1.80416i 0.584182 + 0.143988i 0.520321 0.853971i \(-0.325812\pi\)
0.0638609 + 0.997959i \(0.479659\pi\)
\(158\) 7.93145 23.7576i 0.630992 1.89005i
\(159\) 1.57955 3.32883i 0.125266 0.263993i
\(160\) −26.8874 + 8.97635i −2.12564 + 0.709642i
\(161\) −5.24181 3.61816i −0.413113 0.285151i
\(162\) −1.69459 + 0.804093i −0.133140 + 0.0631755i
\(163\) 19.0246 + 0.766666i 1.49012 + 0.0600499i 0.771892 0.635754i \(-0.219311\pi\)
0.718232 + 0.695804i \(0.244952\pi\)
\(164\) −3.70907 + 15.0483i −0.289630 + 1.17507i
\(165\) −5.69482 2.42634i −0.443341 0.188890i
\(166\) 2.50871 0.407705i 0.194714 0.0316441i
\(167\) 23.7151 + 4.84147i 1.83513 + 0.374644i 0.987712 0.156285i \(-0.0499518\pi\)
0.847416 + 0.530929i \(0.178157\pi\)
\(168\) −1.09710 −0.0846434
\(169\) 7.27747 + 10.7721i 0.559805 + 0.828624i
\(170\) 44.1150 3.38346
\(171\) 0.153576 + 0.0313527i 0.0117442 + 0.00239760i
\(172\) −6.18491 + 1.00515i −0.471595 + 0.0766416i
\(173\) −5.33124 2.27143i −0.405327 0.172694i 0.179674 0.983726i \(-0.442496\pi\)
−0.585001 + 0.811033i \(0.698906\pi\)
\(174\) −2.25273 + 9.13969i −0.170779 + 0.692878i
\(175\) −13.4490 0.541975i −1.01665 0.0409695i
\(176\) −6.59726 + 3.13044i −0.497287 + 0.235966i
\(177\) 12.2888 + 8.48233i 0.923681 + 0.637571i
\(178\) 10.2471 3.42099i 0.768054 0.256414i
\(179\) −8.66450 + 18.2600i −0.647615 + 1.36482i 0.268257 + 0.963347i \(0.413552\pi\)
−0.915871 + 0.401472i \(0.868499\pi\)
\(180\) −1.92829 + 5.77594i −0.143726 + 0.430513i
\(181\) −10.0398 2.47460i −0.746254 0.183935i −0.152188 0.988351i \(-0.548632\pi\)
−0.594066 + 0.804416i \(0.702478\pi\)
\(182\) −7.96176 2.00469i −0.590165 0.148597i
\(183\) 3.53864 0.872196i 0.261584 0.0644746i
\(184\) 0.381508 4.72583i 0.0281251 0.348392i
\(185\) 16.1429 + 16.8065i 1.18685 + 1.23564i
\(186\) 4.76722 + 10.0467i 0.349550 + 0.736660i
\(187\) 8.98405 1.09086i 0.656979 0.0797717i
\(188\) 4.43732 + 2.56189i 0.323625 + 0.186845i
\(189\) −0.729312 + 0.970537i −0.0530496 + 0.0705962i
\(190\) 0.970465 0.669863i 0.0704049 0.0485970i
\(191\) 0.826124 1.43089i 0.0597762 0.103536i −0.834589 0.550874i \(-0.814295\pi\)
0.894365 + 0.447338i \(0.147628\pi\)
\(192\) 1.89661 + 3.28503i 0.136876 + 0.237077i
\(193\) 4.25626 + 2.01962i 0.306372 + 0.145376i 0.575671 0.817681i \(-0.304741\pi\)
−0.269299 + 0.963057i \(0.586792\pi\)
\(194\) −9.90883 5.20055i −0.711412 0.373378i
\(195\) 7.79015 12.1838i 0.557864 0.872502i
\(196\) −7.42884 + 3.89896i −0.530631 + 0.278497i
\(197\) −5.51207 + 0.222129i −0.392719 + 0.0158260i −0.235840 0.971792i \(-0.575784\pi\)
−0.156879 + 0.987618i \(0.550143\pi\)
\(198\) −0.579042 + 2.83633i −0.0411507 + 0.201569i
\(199\) −0.853196 + 2.94558i −0.0604815 + 0.208806i −0.985068 0.172166i \(-0.944923\pi\)
0.924586 + 0.380972i \(0.124411\pi\)
\(200\) −4.65623 8.87170i −0.329245 0.627324i
\(201\) 5.51324 + 8.71850i 0.388874 + 0.614955i
\(202\) −4.24064 + 26.0937i −0.298370 + 1.83595i
\(203\) 1.45805 + 5.91556i 0.102335 + 0.415191i
\(204\) −1.78075 8.72269i −0.124677 0.610711i
\(205\) −40.8123 3.29471i −2.85046 0.230113i
\(206\) −2.15343 + 3.40538i −0.150037 + 0.237264i
\(207\) −3.92702 3.47904i −0.272947 0.241810i
\(208\) −4.66426 16.4095i −0.323408 1.13780i
\(209\) 0.181072 0.160416i 0.0125250 0.0110962i
\(210\) 1.46507 + 9.01495i 0.101100 + 0.622091i
\(211\) 16.2567 6.92633i 1.11916 0.476828i 0.248457 0.968643i \(-0.420077\pi\)
0.870700 + 0.491815i \(0.163666\pi\)
\(212\) −4.72794 + 2.98977i −0.324716 + 0.205338i
\(213\) 6.07175 6.85359i 0.416030 0.469600i
\(214\) 1.67568 + 20.7571i 0.114547 + 1.41892i
\(215\) −5.24211 15.7020i −0.357509 1.07087i
\(216\) −0.897108 0.108929i −0.0610405 0.00741166i
\(217\) 5.75401 + 4.32386i 0.390608 + 0.293523i
\(218\) −13.3057 + 16.2965i −0.901172 + 1.10374i
\(219\) −6.32586 5.16491i −0.427462 0.349012i
\(220\) 5.33864 + 7.73435i 0.359931 + 0.521450i
\(221\) −0.956963 + 21.1209i −0.0643723 + 1.42075i
\(222\) 6.19072 8.96880i 0.415494 0.601947i
\(223\) 2.17504 0.630008i 0.145652 0.0421885i −0.204591 0.978848i \(-0.565586\pi\)
0.350242 + 0.936659i \(0.386099\pi\)
\(224\) 7.25164 + 4.58566i 0.484521 + 0.306392i
\(225\) −10.9435 1.77849i −0.729566 0.118566i
\(226\) 15.6349 + 5.92953i 1.04002 + 0.394426i
\(227\) 3.44747 8.09151i 0.228817 0.537052i −0.765510 0.643424i \(-0.777513\pi\)
0.994326 + 0.106372i \(0.0339234\pi\)
\(228\) −0.171624 0.164847i −0.0113660 0.0109172i
\(229\) −10.2830 + 19.5927i −0.679521 + 1.29472i 0.264356 + 0.964425i \(0.414840\pi\)
−0.943878 + 0.330295i \(0.892852\pi\)
\(230\) −39.3418 + 3.17600i −2.59412 + 0.209419i
\(231\) 0.521282 + 1.79967i 0.0342978 + 0.118410i
\(232\) −3.27083 + 3.14167i −0.214740 + 0.206261i
\(233\) 7.05418 + 18.6003i 0.462134 + 1.21855i 0.940321 + 0.340290i \(0.110525\pi\)
−0.478186 + 0.878258i \(0.658706\pi\)
\(234\) −6.31134 2.42975i −0.412585 0.158837i
\(235\) −4.80002 + 12.6566i −0.313119 + 0.825627i
\(236\) −8.88580 20.8557i −0.578416 1.35759i
\(237\) −0.537682 13.3424i −0.0349262 0.866685i
\(238\) −8.44492 10.3431i −0.547403 0.670446i
\(239\) 3.23767i 0.209428i −0.994502 0.104714i \(-0.966607\pi\)
0.994502 0.104714i \(-0.0333927\pi\)
\(240\) −14.6999 + 12.0021i −0.948874 + 0.774732i
\(241\) 13.9956 + 4.05386i 0.901533 + 0.261132i 0.696444 0.717611i \(-0.254764\pi\)
0.205089 + 0.978743i \(0.434252\pi\)
\(242\) −10.7193 12.0995i −0.689060 0.777788i
\(243\) −0.692724 + 0.721202i −0.0444383 + 0.0462652i
\(244\) −5.24840 1.75217i −0.335995 0.112171i
\(245\) −13.3153 17.7194i −0.850682 1.13205i
\(246\) 2.30804 + 19.0084i 0.147155 + 1.21193i
\(247\) 0.299659 + 0.479161i 0.0190668 + 0.0304883i
\(248\) −0.645804 + 5.31868i −0.0410086 + 0.337736i
\(249\) 1.17350 0.677518i 0.0743673 0.0429360i
\(250\) −36.6096 + 27.5103i −2.31539 + 1.73991i
\(251\) −0.598808 + 14.8593i −0.0377964 + 0.937909i 0.863406 + 0.504510i \(0.168327\pi\)
−0.901202 + 0.433399i \(0.857314\pi\)
\(252\) 1.72335 0.653582i 0.108561 0.0411718i
\(253\) −7.93345 + 1.61963i −0.498772 + 0.101825i
\(254\) 14.6312 2.98698i 0.918043 0.187420i
\(255\) 21.9910 8.34008i 1.37713 0.522276i
\(256\) −0.835656 + 20.7366i −0.0522285 + 1.29604i
\(257\) 7.84105 5.89217i 0.489112 0.367543i −0.327388 0.944890i \(-0.606168\pi\)
0.816499 + 0.577347i \(0.195912\pi\)
\(258\) −6.70432 + 3.87074i −0.417393 + 0.240982i
\(259\) 0.850211 7.00212i 0.0528296 0.435091i
\(260\) −19.8824 + 9.31279i −1.23305 + 0.577554i
\(261\) 0.604919 + 4.98195i 0.0374435 + 0.308375i
\(262\) −3.50471 4.66392i −0.216522 0.288138i
\(263\) 23.8431 + 7.96000i 1.47023 + 0.490834i 0.935237 0.354023i \(-0.115187\pi\)
0.534992 + 0.844857i \(0.320315\pi\)
\(264\) −0.966155 + 1.00587i −0.0594627 + 0.0619073i
\(265\) −9.79985 11.0617i −0.602000 0.679518i
\(266\) −0.342831 0.0993023i −0.0210203 0.00608861i
\(267\) 4.46136 3.64259i 0.273031 0.222923i
\(268\) 15.6609i 0.956644i
\(269\) −11.4570 14.0322i −0.698543 0.855560i 0.296497 0.955034i \(-0.404182\pi\)
−0.995040 + 0.0994735i \(0.968284\pi\)
\(270\) 0.302926 + 7.51704i 0.0184355 + 0.457472i
\(271\) −10.7185 25.1573i −0.651103 1.52819i −0.837916 0.545799i \(-0.816226\pi\)
0.186813 0.982395i \(-0.440184\pi\)
\(272\) 9.83846 25.9419i 0.596544 1.57296i
\(273\) −4.34787 + 0.505876i −0.263145 + 0.0306170i
\(274\) 10.7772 + 28.4170i 0.651072 + 1.71674i
\(275\) −12.3406 + 11.8533i −0.744168 + 0.714783i
\(276\) 2.21605 + 7.65070i 0.133391 + 0.460518i
\(277\) 2.59284 0.209316i 0.155789 0.0125766i −0.00232602 0.999997i \(-0.500740\pi\)
0.158115 + 0.987421i \(0.449458\pi\)
\(278\) 17.0748 32.5333i 1.02408 1.95122i
\(279\) 4.27579 + 4.10695i 0.255985 + 0.245877i
\(280\) −1.72479 + 4.04822i −0.103076 + 0.241928i
\(281\) 21.3546 + 8.09872i 1.27391 + 0.483129i 0.896552 0.442939i \(-0.146064\pi\)
0.377356 + 0.926068i \(0.376833\pi\)
\(282\) 6.24827 + 1.01544i 0.372079 + 0.0604688i
\(283\) 0.725279 + 0.458639i 0.0431134 + 0.0272632i 0.555849 0.831284i \(-0.312393\pi\)
−0.512735 + 0.858547i \(0.671368\pi\)
\(284\) −13.3523 + 3.86754i −0.792314 + 0.229496i
\(285\) 0.357129 0.517391i 0.0211545 0.0306476i
\(286\) −8.84944 + 5.53429i −0.523279 + 0.327250i
\(287\) 7.04022 + 10.1995i 0.415571 + 0.602059i
\(288\) 5.47441 + 4.46972i 0.322583 + 0.263381i
\(289\) −10.9953 + 13.4668i −0.646782 + 0.792164i
\(290\) 30.1831 + 22.6811i 1.77241 + 1.33188i
\(291\) −5.92266 0.719141i −0.347192 0.0421568i
\(292\) 3.92621 + 11.7604i 0.229764 + 0.688228i
\(293\) 2.17372 + 26.9264i 0.126990 + 1.57306i 0.675784 + 0.737100i \(0.263805\pi\)
−0.548793 + 0.835958i \(0.684913\pi\)
\(294\) −6.87350 + 7.75858i −0.400871 + 0.452490i
\(295\) 50.6186 32.0093i 2.94713 1.86365i
\(296\) 4.83041 2.05804i 0.280762 0.119621i
\(297\) 0.247570 + 1.52336i 0.0143655 + 0.0883944i
\(298\) −3.39487 + 3.00759i −0.196660 + 0.174225i
\(299\) −0.667152 18.9046i −0.0385824 1.09328i
\(300\) 12.5993 + 11.1620i 0.727419 + 0.644437i
\(301\) −2.67799 + 4.23490i −0.154357 + 0.244095i
\(302\) 0.138420 + 0.0111744i 0.00796518 + 0.000643016i
\(303\) 2.81917 + 13.8092i 0.161957 + 0.793319i
\(304\) −0.177483 0.720076i −0.0101793 0.0412992i
\(305\) 2.34486 14.4285i 0.134266 0.826172i
\(306\) −5.87851 9.29612i −0.336052 0.531424i
\(307\) 11.5458 + 21.9987i 0.658953 + 1.25553i 0.953931 + 0.300027i \(0.0969955\pi\)
−0.294978 + 0.955504i \(0.595312\pi\)
\(308\) 0.791413 2.73228i 0.0450950 0.155686i
\(309\) −0.429672 + 2.10467i −0.0244432 + 0.119731i
\(310\) 44.5662 1.79596i 2.53119 0.102003i
\(311\) 8.23324 4.32114i 0.466864 0.245029i −0.214851 0.976647i \(-0.568927\pi\)
0.681715 + 0.731618i \(0.261234\pi\)
\(312\) −1.94436 2.61460i −0.110078 0.148023i
\(313\) −23.0110 12.0771i −1.30066 0.682638i −0.334943 0.942238i \(-0.608717\pi\)
−0.965716 + 0.259600i \(0.916409\pi\)
\(314\) −12.7752 6.06193i −0.720949 0.342095i
\(315\) 2.43463 + 4.21691i 0.137176 + 0.237596i
\(316\) −10.1365 + 17.5569i −0.570223 + 0.987655i
\(317\) 23.4977 16.2193i 1.31976 0.910968i 0.320424 0.947274i \(-0.396175\pi\)
0.999341 + 0.0363067i \(0.0115593\pi\)
\(318\) −4.15180 + 5.52504i −0.232821 + 0.309829i
\(319\) 6.70767 + 3.87268i 0.375558 + 0.216828i
\(320\) 15.1032 1.83386i 0.844294 0.102516i
\(321\) 4.75950 + 10.0304i 0.265650 + 0.559845i
\(322\) 8.27583 + 8.61605i 0.461194 + 0.480154i
\(323\) −0.0739591 + 0.916148i −0.00411519 + 0.0509758i
\(324\) 1.47409 0.363330i 0.0818938 0.0201850i
\(325\) −22.5436 33.0119i −1.25049 1.83117i
\(326\) −34.6755 8.54674i −1.92050 0.473360i
\(327\) −3.55187 + 10.6391i −0.196419 + 0.588346i
\(328\) −3.95487 + 8.33472i −0.218371 + 0.460208i
\(329\) 3.88632 1.29745i 0.214260 0.0715305i
\(330\) 9.55551 + 6.59569i 0.526014 + 0.363081i
\(331\) 2.68756 1.27526i 0.147722 0.0700949i −0.353397 0.935474i \(-0.614973\pi\)
0.501118 + 0.865379i \(0.332922\pi\)
\(332\) −2.05555 0.0828360i −0.112813 0.00454622i
\(333\) 1.39044 5.64126i 0.0761959 0.309139i
\(334\) −41.7667 17.7951i −2.28537 0.973706i
\(335\) 40.8380 6.63683i 2.23122 0.362609i
\(336\) 5.62800 + 1.14896i 0.307032 + 0.0626811i
\(337\) −12.6531 −0.689258 −0.344629 0.938739i \(-0.611995\pi\)
−0.344629 + 0.938739i \(0.611995\pi\)
\(338\) −9.33285 22.5272i −0.507640 1.22532i
\(339\) 8.91487 0.484189
\(340\) −34.9856 7.14236i −1.89736 0.387349i
\(341\) 9.03153 1.46777i 0.489085 0.0794840i
\(342\) −0.270476 0.115239i −0.0146256 0.00623140i
\(343\) −3.63927 + 14.7651i −0.196502 + 0.797240i
\(344\) −3.72678 0.150184i −0.200935 0.00809739i
\(345\) −19.0111 + 9.02090i −1.02353 + 0.485669i
\(346\) 8.94545 + 6.17460i 0.480910 + 0.331948i
\(347\) 18.0942 6.04074i 0.971349 0.324284i 0.213666 0.976907i \(-0.431460\pi\)
0.757683 + 0.652623i \(0.226331\pi\)
\(348\) 3.26629 6.88355i 0.175091 0.368997i
\(349\) 2.23496 6.69453i 0.119635 0.358350i −0.871643 0.490142i \(-0.836945\pi\)
0.991277 + 0.131792i \(0.0420731\pi\)
\(350\) 24.5129 + 6.04190i 1.31027 + 0.322953i
\(351\) −3.60551 0.0180312i −0.192448 0.000962433i
\(352\) 10.5904 2.61031i 0.564472 0.139130i
\(353\) −1.13190 + 14.0210i −0.0602447 + 0.746265i 0.894160 + 0.447748i \(0.147774\pi\)
−0.954404 + 0.298517i \(0.903508\pi\)
\(354\) −19.4016 20.1992i −1.03118 1.07358i
\(355\) −15.7436 33.1790i −0.835585 1.76096i
\(356\) −8.68039 + 1.05399i −0.460060 + 0.0558614i
\(357\) −6.16513 3.55944i −0.326293 0.188386i
\(358\) 22.7744 30.3072i 1.20366 1.60178i
\(359\) 7.75871 5.35545i 0.409489 0.282650i −0.345460 0.938433i \(-0.612277\pi\)
0.754949 + 0.655784i \(0.227662\pi\)
\(360\) −1.81231 + 3.13900i −0.0955169 + 0.165440i
\(361\) −9.48772 16.4332i −0.499353 0.864906i
\(362\) 17.5226 + 8.31457i 0.920966 + 0.437004i
\(363\) −7.63093 4.00502i −0.400520 0.210209i
\(364\) 5.98955 + 2.87886i 0.313938 + 0.150893i
\(365\) −29.0031 + 15.2220i −1.51809 + 0.796757i
\(366\) −6.83048 + 0.275259i −0.357035 + 0.0143880i
\(367\) −2.96920 + 14.5441i −0.154991 + 0.759195i 0.825774 + 0.564001i \(0.190739\pi\)
−0.980765 + 0.195194i \(0.937466\pi\)
\(368\) −6.90630 + 23.8433i −0.360016 + 1.24292i
\(369\) 4.74415 + 9.03921i 0.246970 + 0.470563i
\(370\) −23.3616 36.9433i −1.21451 1.92059i
\(371\) −0.717542 + 4.41521i −0.0372529 + 0.229226i
\(372\) −2.15407 8.73941i −0.111683 0.453117i
\(373\) −5.04048 24.6899i −0.260986 1.27839i −0.873067 0.487600i \(-0.837873\pi\)
0.612081 0.790795i \(-0.290333\pi\)
\(374\) −16.9200 1.36592i −0.874912 0.0706302i
\(375\) −13.0487 + 20.6348i −0.673831 + 1.06558i
\(376\) 2.28287 + 2.02245i 0.117730 + 0.104300i
\(377\) −11.5138 + 13.9588i −0.592991 + 0.718914i
\(378\) 1.70445 1.51001i 0.0876673 0.0776665i
\(379\) −0.326059 2.00632i −0.0167485 0.103058i 0.977330 0.211721i \(-0.0679070\pi\)
−0.994079 + 0.108664i \(0.965343\pi\)
\(380\) −0.878085 + 0.374117i −0.0450448 + 0.0191918i
\(381\) 6.72885 4.25506i 0.344729 0.217994i
\(382\) −2.05508 + 2.31971i −0.105147 + 0.118687i
\(383\) 0.0990087 + 1.22644i 0.00505911 + 0.0626683i 0.998794 0.0490927i \(-0.0156330\pi\)
−0.993735 + 0.111761i \(0.964351\pi\)
\(384\) 2.22295 + 6.65854i 0.113439 + 0.339792i
\(385\) 7.46017 + 0.905829i 0.380206 + 0.0461653i
\(386\) −7.06435 5.30851i −0.359566 0.270196i
\(387\) −2.61028 + 3.19701i −0.132688 + 0.162513i
\(388\) 7.01626 + 5.72860i 0.356196 + 0.290825i
\(389\) −10.4605 15.1546i −0.530367 0.768369i 0.462625 0.886554i \(-0.346908\pi\)
−0.992992 + 0.118185i \(0.962292\pi\)
\(390\) −18.8878 + 19.4684i −0.956420 + 0.985823i
\(391\) 17.4763 25.3188i 0.883816 1.28043i
\(392\) −4.79680 + 1.38941i −0.242275 + 0.0701759i
\(393\) −2.62880 1.66235i −0.132605 0.0838546i
\(394\) 10.2133 + 1.65983i 0.514539 + 0.0836208i
\(395\) −50.0778 18.9920i −2.51969 0.955592i
\(396\) 0.918424 2.15562i 0.0461525 0.108324i
\(397\) 15.2027 + 14.6024i 0.763000 + 0.732871i 0.969371 0.245603i \(-0.0789858\pi\)
−0.206371 + 0.978474i \(0.566165\pi\)
\(398\) 2.67313 5.09322i 0.133992 0.255300i
\(399\) −0.189672 + 0.0153119i −0.00949549 + 0.000766555i
\(400\) 14.5948 + 50.3869i 0.729738 + 2.51935i
\(401\) −1.57674 + 1.51448i −0.0787388 + 0.0756297i −0.731061 0.682312i \(-0.760974\pi\)
0.652322 + 0.757942i \(0.273795\pi\)
\(402\) −6.86108 18.0912i −0.342200 0.902306i
\(403\) −0.106901 + 21.3759i −0.00532513 + 1.06481i
\(404\) 7.58771 20.0072i 0.377503 0.995393i
\(405\) 1.57213 + 3.68992i 0.0781196 + 0.183353i
\(406\) −0.460152 11.4185i −0.0228370 0.566693i
\(407\) −5.67113 6.94587i −0.281107 0.344294i
\(408\) 5.29919i 0.262349i
\(409\) −21.3188 + 17.4063i −1.05415 + 0.860686i −0.990531 0.137289i \(-0.956161\pi\)
−0.0636173 + 0.997974i \(0.520264\pi\)
\(410\) 73.7680 + 21.3672i 3.64314 + 1.05525i
\(411\) 10.7447 + 12.1282i 0.529995 + 0.598241i
\(412\) 2.25913 2.35201i 0.111300 0.115875i
\(413\) −17.1948 5.74045i −0.846099 0.282469i
\(414\) 5.91172 + 7.86708i 0.290545 + 0.386646i
\(415\) −0.655102 5.39525i −0.0321577 0.264842i
\(416\) 1.92338 + 25.4090i 0.0943015 + 1.24578i
\(417\) 2.36113 19.4457i 0.115625 0.952258i
\(418\) −0.392956 + 0.226873i −0.0192201 + 0.0110967i
\(419\) −8.72376 + 6.55548i −0.426184 + 0.320256i −0.792100 0.610392i \(-0.791012\pi\)
0.365916 + 0.930648i \(0.380756\pi\)
\(420\) 0.297668 7.38655i 0.0145247 0.360427i
\(421\) 32.2814 12.2427i 1.57330 0.596674i 0.594974 0.803745i \(-0.297163\pi\)
0.978326 + 0.207072i \(0.0663933\pi\)
\(422\) −32.4749 + 6.62980i −1.58085 + 0.322733i
\(423\) 3.30669 0.675065i 0.160777 0.0328228i
\(424\) −3.11336 + 1.18074i −0.151198 + 0.0573419i
\(425\) 2.61783 64.9608i 0.126983 3.15106i
\(426\) −13.7299 + 10.3174i −0.665217 + 0.499878i
\(427\) −3.83176 + 2.21227i −0.185432 + 0.107059i
\(428\) 2.03173 16.7328i 0.0982072 0.808809i
\(429\) −3.36511 + 4.43182i −0.162469 + 0.213970i
\(430\) 3.74267 + 30.8237i 0.180488 + 1.48645i
\(431\) −10.1019 13.4432i −0.486590 0.647534i 0.487652 0.873038i \(-0.337854\pi\)
−0.974242 + 0.225504i \(0.927597\pi\)
\(432\) 4.48797 + 1.49830i 0.215927 + 0.0720871i
\(433\) 24.2421 25.2387i 1.16500 1.21290i 0.192176 0.981360i \(-0.438446\pi\)
0.972826 0.231536i \(-0.0743750\pi\)
\(434\) −8.95237 10.1051i −0.429728 0.485062i
\(435\) 19.3340 + 5.60016i 0.926995 + 0.268507i
\(436\) 13.1906 10.7698i 0.631713 0.515778i
\(437\) 0.822346i 0.0393382i
\(438\) 9.68775 + 11.8653i 0.462899 + 0.566948i
\(439\) −0.384933 9.55200i −0.0183718 0.455892i −0.982027 0.188742i \(-0.939559\pi\)
0.963655 0.267150i \(-0.0860820\pi\)
\(440\) 2.19267 + 5.14639i 0.104532 + 0.245345i
\(441\) −1.95960 + 5.16705i −0.0933145 + 0.246050i
\(442\) 9.68296 38.4566i 0.460572 1.82920i
\(443\) 3.23758 + 8.53680i 0.153822 + 0.405595i 0.989670 0.143366i \(-0.0457926\pi\)
−0.835848 + 0.548961i \(0.815023\pi\)
\(444\) −6.36166 + 6.11045i −0.301911 + 0.289989i
\(445\) −6.42702 22.1887i −0.304670 1.05184i
\(446\) −4.23362 + 0.341773i −0.200468 + 0.0161834i
\(447\) −1.12372 + 2.14107i −0.0531502 + 0.101269i
\(448\) −3.32117 3.19002i −0.156910 0.150714i
\(449\) 0.281838 0.661499i 0.0133008 0.0312181i −0.913197 0.407519i \(-0.866394\pi\)
0.926497 + 0.376301i \(0.122804\pi\)
\(450\) 19.4445 + 7.37432i 0.916622 + 0.347629i
\(451\) 15.5513 + 2.52733i 0.732282 + 0.119007i
\(452\) −11.4393 7.23378i −0.538060 0.340248i
\(453\) 0.0711139 0.0205984i 0.00334122 0.000967797i
\(454\) −9.37152 + 13.5770i −0.439827 + 0.637199i
\(455\) −4.96876 + 16.8386i −0.232939 + 0.789405i
\(456\) −0.0804656 0.116574i −0.00376815 0.00545910i
\(457\) 14.0117 + 11.4402i 0.655438 + 0.535149i 0.900773 0.434290i \(-0.143001\pi\)
−0.245335 + 0.969438i \(0.578898\pi\)
\(458\) 26.2488 32.1490i 1.22653 1.50222i
\(459\) −4.68785 3.52269i −0.218810 0.164425i
\(460\) 31.7144 + 3.85082i 1.47869 + 0.179546i
\(461\) −8.15212 24.4186i −0.379682 1.13729i −0.949029 0.315189i \(-0.897932\pi\)
0.569347 0.822098i \(-0.307196\pi\)
\(462\) −0.282790 3.50299i −0.0131566 0.162974i
\(463\) −2.44058 + 2.75485i −0.113423 + 0.128029i −0.802480 0.596679i \(-0.796487\pi\)
0.689057 + 0.724707i \(0.258025\pi\)
\(464\) 20.0691 12.6909i 0.931684 0.589161i
\(465\) 21.8764 9.32065i 1.01449 0.432235i
\(466\) −5.98545 36.8300i −0.277271 1.70612i
\(467\) 9.67246 8.56905i 0.447588 0.396528i −0.408996 0.912536i \(-0.634121\pi\)
0.856584 + 0.516008i \(0.172582\pi\)
\(468\) 4.61185 + 2.94875i 0.213183 + 0.136306i
\(469\) −9.37368 8.30436i −0.432836 0.383460i
\(470\) 13.5700 21.4592i 0.625936 0.989839i
\(471\) −7.51439 0.606625i −0.346245 0.0279518i
\(472\) −2.69914 13.2213i −0.124238 0.608558i
\(473\) 1.52440 + 6.18472i 0.0700919 + 0.284374i
\(474\) −4.01775 + 24.7222i −0.184542 + 1.13553i
\(475\) −0.928808 1.46879i −0.0426166 0.0673928i
\(476\) 5.02269 + 9.56994i 0.230215 + 0.438637i
\(477\) −1.02511 + 3.53910i −0.0469367 + 0.162044i
\(478\) −1.21473 + 5.95014i −0.0555604 + 0.272153i
\(479\) −25.5090 + 1.02798i −1.16554 + 0.0469696i −0.615477 0.788155i \(-0.711037\pi\)
−0.550061 + 0.835125i \(0.685395\pi\)
\(480\) 25.0993 13.1732i 1.14562 0.601269i
\(481\) 18.1941 10.3834i 0.829582 0.473443i
\(482\) −24.1998 12.7011i −1.10227 0.578517i
\(483\) 5.75433 + 2.73046i 0.261831 + 0.124240i
\(484\) 6.54201 + 11.3311i 0.297364 + 0.515049i
\(485\) −11.9647 + 20.7235i −0.543291 + 0.941007i
\(486\) 1.54366 1.06551i 0.0700219 0.0483326i
\(487\) −4.34495 + 5.78207i −0.196888 + 0.262011i −0.887080 0.461616i \(-0.847270\pi\)
0.690192 + 0.723627i \(0.257526\pi\)
\(488\) −2.85231 1.64678i −0.129118 0.0745463i
\(489\) −18.9012 + 2.29503i −0.854744 + 0.103785i
\(490\) 17.8225 + 37.5601i 0.805138 + 1.69679i
\(491\) 2.44349 + 2.54395i 0.110273 + 0.114807i 0.774051 0.633123i \(-0.218227\pi\)
−0.663778 + 0.747930i \(0.731048\pi\)
\(492\) 1.24712 15.4484i 0.0562247 0.696468i
\(493\) −28.5731 + 7.04264i −1.28687 + 0.317185i
\(494\) −0.370933 0.993021i −0.0166891 0.0446781i
\(495\) 6.01029 + 1.48140i 0.270142 + 0.0665841i
\(496\) 8.88297 26.6078i 0.398857 1.19472i
\(497\) −4.76531 + 10.0427i −0.213753 + 0.450476i
\(498\) −2.41082 + 0.804851i −0.108032 + 0.0360663i
\(499\) 22.1056 + 15.2584i 0.989584 + 0.683060i 0.948724 0.316104i \(-0.102375\pi\)
0.0408595 + 0.999165i \(0.486990\pi\)
\(500\) 33.4874 15.8900i 1.49760 0.710621i
\(501\) −24.1846 0.974606i −1.08049 0.0435422i
\(502\) 6.67547 27.0834i 0.297941 1.20879i
\(503\) −32.4935 13.8442i −1.44881 0.617281i −0.482788 0.875737i \(-0.660376\pi\)
−0.966023 + 0.258456i \(0.916786\pi\)
\(504\) 1.08290 0.175988i 0.0482361 0.00783912i
\(505\) 55.3870 + 11.3073i 2.46469 + 0.503170i
\(506\) 15.1876 0.675172
\(507\) −8.91119 9.46523i −0.395760 0.420366i
\(508\) −12.0869 −0.536272
\(509\) 31.6769 + 6.46688i 1.40405 + 0.286640i 0.841561 0.540163i \(-0.181637\pi\)
0.562493 + 0.826802i \(0.309842\pi\)
\(510\) −43.5437 + 7.07654i −1.92815 + 0.313354i
\(511\) 9.12100 + 3.88610i 0.403489 + 0.171911i
\(512\) 5.95592 24.1641i 0.263217 1.06791i
\(513\) −0.156616 0.00631142i −0.00691478 0.000278656i
\(514\) −16.6208 + 7.88667i −0.733112 + 0.347866i
\(515\) 7.09057 + 4.89427i 0.312448 + 0.215667i
\(516\) 5.94358 1.98426i 0.261651 0.0873521i
\(517\) 2.23290 4.70574i 0.0982029 0.206958i
\(518\) −4.18960 + 12.5494i −0.184080 + 0.551388i
\(519\) 5.62657 + 1.38682i 0.246979 + 0.0608748i
\(520\) −12.7044 + 3.06405i −0.557127 + 0.134368i
\(521\) −4.30137 + 1.06019i −0.188446 + 0.0464478i −0.332409 0.943135i \(-0.607862\pi\)
0.143963 + 0.989583i \(0.454015\pi\)
\(522\) 0.757450 9.38270i 0.0331527 0.410670i
\(523\) −5.30792 5.52613i −0.232099 0.241641i 0.594960 0.803755i \(-0.297168\pi\)
−0.827060 + 0.562114i \(0.809988\pi\)
\(524\) 2.02432 + 4.26617i 0.0884330 + 0.186368i
\(525\) 13.3618 1.62241i 0.583155 0.0708078i
\(526\) −40.8319 23.5743i −1.78036 1.02789i
\(527\) −20.8850 + 27.7928i −0.909763 + 1.21067i
\(528\) 6.00967 4.14817i 0.261537 0.180526i
\(529\) −2.26261 + 3.91895i −0.0983743 + 0.170389i
\(530\) 13.8598 + 24.0058i 0.602030 + 1.04275i
\(531\) −13.4903 6.40122i −0.585429 0.277789i
\(532\) 0.255807 + 0.134258i 0.0110906 + 0.00582081i
\(533\) −11.8302 + 34.8545i −0.512422 + 1.50971i
\(534\) −9.56565 + 5.02044i −0.413946 + 0.217256i
\(535\) 44.4940 1.79305i 1.92364 0.0775202i
\(536\) 1.86464 9.13363i 0.0805403 0.394513i
\(537\) 5.62318 19.4135i 0.242658 0.837753i
\(538\) 15.7907 + 30.0867i 0.680785 + 1.29713i
\(539\) 4.55834 + 7.20844i 0.196342 + 0.310490i
\(540\) 0.976796 6.01047i 0.0420346 0.258649i
\(541\) −7.86380 31.9047i −0.338091 1.37169i −0.856319 0.516447i \(-0.827254\pi\)
0.518228 0.855243i \(-0.326592\pi\)
\(542\) 10.2596 + 50.2550i 0.440689 + 2.15864i
\(543\) 10.3068 + 0.832048i 0.442306 + 0.0357066i
\(544\) −22.1495 + 35.0266i −0.949651 + 1.50175i
\(545\) 33.6736 + 29.8322i 1.44242 + 1.27787i
\(546\) 8.18024 + 0.701570i 0.350082 + 0.0300244i
\(547\) 1.85206 1.64079i 0.0791886 0.0701549i −0.622600 0.782540i \(-0.713924\pi\)
0.701789 + 0.712385i \(0.252385\pi\)
\(548\) −3.94607 24.2811i −0.168568 1.03724i
\(549\) −3.35290 + 1.42854i −0.143098 + 0.0609685i
\(550\) 27.1266 17.1538i 1.15668 0.731441i
\(551\) −0.521628 + 0.588796i −0.0222221 + 0.0250836i
\(552\) 0.381508 + 4.72583i 0.0162381 + 0.201144i
\(553\) 5.13354 + 15.3768i 0.218300 + 0.653889i
\(554\) −4.84361 0.588121i −0.205785 0.0249869i
\(555\) −18.6298 13.9994i −0.790792 0.594241i
\(556\) −18.8085 + 23.0362i −0.797658 + 0.976953i
\(557\) 2.19315 + 1.79065i 0.0929269 + 0.0758725i 0.677770 0.735274i \(-0.262947\pi\)
−0.584843 + 0.811146i \(0.698844\pi\)
\(558\) −6.31709 9.15189i −0.267424 0.387430i
\(559\) −14.8387 + 1.12324i −0.627608 + 0.0475079i
\(560\) 13.0875 18.9605i 0.553048 0.801228i
\(561\) −8.69272 + 2.51788i −0.367007 + 0.106305i
\(562\) −36.2065 22.8956i −1.52728 0.965793i
\(563\) 36.1897 + 5.88140i 1.52522 + 0.247872i 0.864449 0.502720i \(-0.167667\pi\)
0.660766 + 0.750592i \(0.270232\pi\)
\(564\) −4.79082 1.81692i −0.201730 0.0765060i
\(565\) 14.0153 32.8951i 0.589628 1.38391i
\(566\) −1.16083 1.11499i −0.0487933 0.0468666i
\(567\) 0.564182 1.07496i 0.0236934 0.0451440i
\(568\) −8.24770 + 0.665823i −0.346066 + 0.0279373i
\(569\) 1.33558 + 4.61095i 0.0559903 + 0.193301i 0.983638 0.180155i \(-0.0576599\pi\)
−0.927648 + 0.373456i \(0.878173\pi\)
\(570\) −0.850444 + 0.816862i −0.0356212 + 0.0342146i
\(571\) 0.599449 + 1.58062i 0.0250862 + 0.0661468i 0.946974 0.321310i \(-0.104123\pi\)
−0.921888 + 0.387456i \(0.873354\pi\)
\(572\) 7.91411 2.95624i 0.330906 0.123607i
\(573\) −0.585895 + 1.54488i −0.0244761 + 0.0645383i
\(574\) −9.11168 21.3859i −0.380314 0.892630i
\(575\) 2.34218 + 58.1206i 0.0976756 + 2.42380i
\(576\) −2.39901 2.93825i −0.0999586 0.122427i
\(577\) 1.67511i 0.0697359i 0.999392 + 0.0348679i \(0.0111011\pi\)
−0.999392 + 0.0348679i \(0.988899\pi\)
\(578\) 25.2595 20.6237i 1.05066 0.857834i
\(579\) −4.52511 1.31072i −0.188057 0.0544715i
\(580\) −20.2647 22.8741i −0.841447 0.949797i
\(581\) −1.13956 + 1.18641i −0.0472768 + 0.0492204i
\(582\) 10.6147 + 3.54372i 0.439995 + 0.146892i
\(583\) 3.41617 + 4.54609i 0.141483 + 0.188280i
\(584\) 0.889573 + 7.32629i 0.0368108 + 0.303164i
\(585\) −5.73485 + 13.2757i −0.237107 + 0.548881i
\(586\) 6.10758 50.3004i 0.252302 2.07789i
\(587\) 26.3659 15.2224i 1.08824 0.628295i 0.155132 0.987894i \(-0.450420\pi\)
0.933107 + 0.359599i \(0.117087\pi\)
\(588\) 6.70720 5.04014i 0.276600 0.207852i
\(589\) −0.0374185 + 0.928529i −0.00154180 + 0.0382594i
\(590\) −105.035 + 39.8346i −4.32424 + 1.63997i
\(591\) 5.40506 1.10345i 0.222334 0.0453899i
\(592\) −26.9347 + 5.49875i −1.10701 + 0.225997i
\(593\) −42.9599 + 16.2925i −1.76415 + 0.669055i −0.764449 + 0.644684i \(0.776989\pi\)
−0.999703 + 0.0243706i \(0.992242\pi\)
\(594\) 0.116563 2.89249i 0.00478265 0.118680i
\(595\) −22.8264 + 17.1529i −0.935792 + 0.703202i
\(596\) 3.17926 1.83555i 0.130227 0.0751869i
\(597\) 0.369644 3.04429i 0.0151285 0.124595i
\(598\) −5.86665 + 34.9928i −0.239905 + 1.43096i
\(599\) −2.84321 23.4159i −0.116170 0.956748i −0.927929 0.372756i \(-0.878413\pi\)
0.811759 0.583992i \(-0.198510\pi\)
\(600\) 6.01905 + 8.00990i 0.245727 + 0.327003i
\(601\) 14.8786 + 4.96720i 0.606910 + 0.202616i 0.603480 0.797378i \(-0.293780\pi\)
0.00342938 + 0.999994i \(0.498908\pi\)
\(602\) 6.51043 6.77807i 0.265345 0.276254i
\(603\) −6.84039 7.72121i −0.278562 0.314432i
\(604\) −0.107966 0.0312726i −0.00439305 0.00127246i
\(605\) −26.7750 + 21.8611i −1.08856 + 0.888780i
\(606\) 26.4360i 1.07389i
\(607\) 17.1329 + 20.9840i 0.695403 + 0.851714i 0.994740 0.102434i \(-0.0326630\pi\)
−0.299337 + 0.954147i \(0.596766\pi\)
\(608\) 0.0446051 + 1.10686i 0.00180897 + 0.0448892i
\(609\) −2.38810 5.60507i −0.0967705 0.227129i
\(610\) −9.72269 + 25.6366i −0.393660 + 1.03800i
\(611\) 9.97966 + 6.96241i 0.403734 + 0.281669i
\(612\) 3.15691 + 8.32408i 0.127610 + 0.336481i
\(613\) −22.2342 + 21.3562i −0.898029 + 0.862569i −0.991104 0.133090i \(-0.957510\pi\)
0.0930746 + 0.995659i \(0.470331\pi\)
\(614\) −12.9651 44.7606i −0.523227 1.80639i
\(615\) 40.8123 3.29471i 1.64571 0.132856i
\(616\) 0.786875 1.49926i 0.0317041 0.0604071i
\(617\) 27.1651 + 26.0925i 1.09363 + 1.05044i 0.998488 + 0.0549787i \(0.0175091\pi\)
0.0951392 + 0.995464i \(0.469670\pi\)
\(618\) 1.57929 3.70672i 0.0635282 0.149106i
\(619\) −27.4671 10.4169i −1.10400 0.418691i −0.265784 0.964033i \(-0.585631\pi\)
−0.838214 + 0.545341i \(0.816400\pi\)
\(620\) −35.6342 5.79112i −1.43110 0.232577i
\(621\) 4.43425 + 2.80405i 0.177940 + 0.112523i
\(622\) −16.7521 + 4.85231i −0.671699 + 0.194560i
\(623\) −3.97200 + 5.75444i −0.159135 + 0.230547i
\(624\) 7.23613 + 15.4488i 0.289677 + 0.618448i
\(625\) 24.1358 + 34.9668i 0.965432 + 1.39867i
\(626\) 37.7580 + 30.8285i 1.50911 + 1.23215i
\(627\) −0.152995 + 0.187384i −0.00611001 + 0.00748341i
\(628\) 9.15002 + 6.87580i 0.365126 + 0.274374i
\(629\) 33.8214 + 4.10666i 1.34855 + 0.163743i
\(630\) −2.89220 8.66319i −0.115228 0.345150i
\(631\) −0.763509 9.45775i −0.0303948 0.376507i −0.994016 0.109235i \(-0.965160\pi\)
0.963621 0.267272i \(-0.0861222\pi\)
\(632\) −8.00211 + 9.03252i −0.318307 + 0.359294i
\(633\) −14.9351 + 9.44439i −0.593617 + 0.375381i
\(634\) −49.2690 + 20.9915i −1.95672 + 0.833681i
\(635\) −5.12224 31.5184i −0.203270 1.25077i
\(636\) 4.18712 3.70947i 0.166030 0.147090i
\(637\) −18.3693 + 7.71811i −0.727818 + 0.305803i
\(638\) −10.8743 9.63376i −0.430516 0.381404i
\(639\) −4.89373 + 7.73882i −0.193593 + 0.306143i
\(640\) 28.0642 + 2.26558i 1.10934 + 0.0895548i
\(641\) −3.82071 18.7151i −0.150909 0.739202i −0.982860 0.184353i \(-0.940981\pi\)
0.831951 0.554849i \(-0.187224\pi\)
\(642\) −4.98365 20.2195i −0.196689 0.797998i
\(643\) 3.12220 19.2116i 0.123127 0.757633i −0.849900 0.526944i \(-0.823338\pi\)
0.973027 0.230689i \(-0.0740981\pi\)
\(644\) −5.16822 8.17288i −0.203656 0.322057i
\(645\) 7.69301 + 14.6578i 0.302912 + 0.577151i
\(646\) 0.479646 1.65593i 0.0188714 0.0651517i
\(647\) −1.84924 + 9.05816i −0.0727010 + 0.356113i −0.999826 0.0186385i \(-0.994067\pi\)
0.927125 + 0.374751i \(0.122272\pi\)
\(648\) 0.902964 0.0363882i 0.0354718 0.00142946i
\(649\) −20.4055 + 10.7096i −0.800987 + 0.420390i
\(650\) 29.0446 + 69.1267i 1.13922 + 2.71137i
\(651\) −6.37310 3.34486i −0.249781 0.131095i
\(652\) 26.1158 + 12.3921i 1.02277 + 0.485312i
\(653\) −23.2547 40.2783i −0.910026 1.57621i −0.814024 0.580831i \(-0.802728\pi\)
−0.0960021 0.995381i \(-0.530606\pi\)
\(654\) 10.5192 18.2198i 0.411334 0.712451i
\(655\) −10.2668 + 7.08663i −0.401155 + 0.276898i
\(656\) 29.0167 38.6142i 1.13291 1.50763i
\(657\) 7.07245 + 4.08328i 0.275923 + 0.159304i
\(658\) −7.62900 + 0.926328i −0.297409 + 0.0361120i
\(659\) 15.8322 + 33.3657i 0.616735 + 1.29974i 0.935974 + 0.352068i \(0.114521\pi\)
−0.319239 + 0.947674i \(0.603427\pi\)
\(660\) −6.51018 6.77781i −0.253408 0.263826i
\(661\) −3.04712 + 37.7454i −0.118519 + 1.46812i 0.615039 + 0.788497i \(0.289140\pi\)
−0.733558 + 0.679627i \(0.762142\pi\)
\(662\) −5.41761 + 1.33532i −0.210562 + 0.0518988i
\(663\) −2.44347 21.0009i −0.0948963 0.815609i
\(664\) −1.18896 0.293052i −0.0461406 0.0113726i
\(665\) −0.241689 + 0.723947i −0.00937230 + 0.0280735i
\(666\) −4.67185 + 9.84572i −0.181031 + 0.381514i
\(667\) 24.9745 8.33772i 0.967017 0.322838i
\(668\) 30.2422 + 20.8747i 1.17011 + 0.807665i
\(669\) −2.04581 + 0.970751i −0.0790958 + 0.0375314i
\(670\) −77.5414 3.12481i −2.99569 0.120722i
\(671\) −1.34610 + 5.46134i −0.0519656 + 0.210833i
\(672\) −7.89332 3.36303i −0.304492 0.129732i
\(673\) 22.5180 3.65953i 0.868004 0.141064i 0.289929 0.957048i \(-0.406368\pi\)
0.578075 + 0.815984i \(0.303804\pi\)
\(674\) 23.2536 + 4.74726i 0.895696 + 0.182858i
\(675\) 11.0871 0.426742
\(676\) 3.75423 + 19.3763i 0.144393 + 0.745243i
\(677\) 20.2626 0.778756 0.389378 0.921078i \(-0.372690\pi\)
0.389378 + 0.921078i \(0.372690\pi\)
\(678\) −16.3836 3.34473i −0.629208 0.128454i
\(679\) 7.14922 1.16186i 0.274362 0.0445882i
\(680\) −19.5536 8.33100i −0.749846 0.319479i
\(681\) −2.10486 + 8.53974i −0.0806583 + 0.327244i
\(682\) −17.1487 0.691068i −0.656656 0.0264624i
\(683\) −11.4118 + 5.41494i −0.436659 + 0.207197i −0.634316 0.773074i \(-0.718718\pi\)
0.197657 + 0.980271i \(0.436667\pi\)
\(684\) 0.195844 + 0.135182i 0.00748830 + 0.00516880i
\(685\) 61.6441 20.5798i 2.35530 0.786315i
\(686\) 12.2278 25.7696i 0.466861 0.983888i
\(687\) 7.00698 20.9885i 0.267333 0.800760i
\(688\) 18.9606 + 4.67337i 0.722866 + 0.178171i
\(689\) −11.7939 + 6.11491i −0.449313 + 0.232959i
\(690\) 38.3228 9.44573i 1.45893 0.359593i
\(691\) −3.37200 + 41.7697i −0.128277 + 1.58899i 0.537776 + 0.843088i \(0.319265\pi\)
−0.666053 + 0.745905i \(0.732017\pi\)
\(692\) −6.09454 6.34509i −0.231680 0.241204i
\(693\) −0.803220 1.69275i −0.0305118 0.0643023i
\(694\) −35.5196 + 4.31286i −1.34831 + 0.163714i
\(695\) −68.0408 39.2834i −2.58094 1.49010i
\(696\) 2.72451 3.62567i 0.103272 0.137431i
\(697\) −49.2654 + 34.0054i −1.86606 + 1.28805i
\(698\) −6.61907 + 11.4646i −0.250535 + 0.433940i
\(699\) −9.94653 17.2279i −0.376212 0.651619i
\(700\) −18.4619 8.76028i −0.697794 0.331108i
\(701\) −32.8740 17.2536i −1.24163 0.651660i −0.289453 0.957192i \(-0.593473\pi\)
−0.952182 + 0.305532i \(0.901166\pi\)
\(702\) 6.61937 + 1.38587i 0.249832 + 0.0523064i
\(703\) 0.806379 0.423220i 0.0304131 0.0159621i
\(704\) −5.84951 + 0.235727i −0.220462 + 0.00888431i
\(705\) 2.70760 13.2627i 0.101974 0.499502i
\(706\) 7.34067 25.3429i 0.276270 0.953794i
\(707\) −7.95161 15.1505i −0.299051 0.569794i
\(708\) 12.1162 + 19.1603i 0.455356 + 0.720088i
\(709\) −6.03662 + 37.1448i −0.226710 + 1.39500i 0.585043 + 0.811003i \(0.301078\pi\)
−0.811753 + 0.584001i \(0.801486\pi\)
\(710\) 16.4851 + 66.8825i 0.618673 + 2.51006i
\(711\) 2.67100 + 13.0834i 0.100170 + 0.490666i
\(712\) −5.18799 0.418818i −0.194428 0.0156959i
\(713\) 16.6243 26.2893i 0.622586 0.984541i
\(714\) 9.99471 + 8.85454i 0.374043 + 0.331373i
\(715\) 11.0627 + 19.3843i 0.413720 + 0.724933i
\(716\) −22.9681 + 20.3480i −0.858360 + 0.760440i
\(717\) 0.519360 + 3.19575i 0.0193958 + 0.119347i
\(718\) −16.2681 + 6.93119i −0.607120 + 0.258670i
\(719\) −32.4975 + 20.5502i −1.21195 + 0.766391i −0.978554 0.205990i \(-0.933959\pi\)
−0.233397 + 0.972382i \(0.574984\pi\)
\(720\) 12.5843 14.2047i 0.468988 0.529378i
\(721\) −0.209842 2.59936i −0.00781491 0.0968050i
\(722\) 11.2708 + 33.7603i 0.419457 + 1.25643i
\(723\) −14.4646 1.75632i −0.537945 0.0653183i
\(724\) −12.5502 9.43087i −0.466425 0.350495i
\(725\) 35.1899 43.0998i 1.30692 1.60068i
\(726\) 12.5214 + 10.2234i 0.464711 + 0.379425i
\(727\) −28.9540 41.9471i −1.07385 1.55573i −0.805671 0.592363i \(-0.798195\pi\)
−0.268174 0.963371i \(-0.586420\pi\)
\(728\) 3.15040 + 2.39212i 0.116762 + 0.0886579i
\(729\) 0.568065 0.822984i 0.0210394 0.0304809i
\(730\) 59.0125 17.0932i 2.18415 0.632647i
\(731\) −20.4552 12.9351i −0.756565 0.478422i
\(732\) 5.46151 + 0.887581i 0.201863 + 0.0328060i
\(733\) −31.8510 12.0795i −1.17644 0.446167i −0.312580 0.949891i \(-0.601193\pi\)
−0.863864 + 0.503725i \(0.831963\pi\)
\(734\) 10.9135 25.6149i 0.402824 0.945462i
\(735\) 15.9852 + 15.3540i 0.589625 + 0.566342i
\(736\) 17.2312 32.8314i 0.635152 1.21018i
\(737\) −15.8687 + 1.28105i −0.584529 + 0.0471881i
\(738\) −5.32732 18.3920i −0.196101 0.677020i
\(739\) −20.0390 + 19.2477i −0.737146 + 0.708039i −0.964004 0.265889i \(-0.914334\pi\)
0.226857 + 0.973928i \(0.427155\pi\)
\(740\) 12.5457 + 33.0804i 0.461191 + 1.21606i
\(741\) −0.372641 0.424887i −0.0136893 0.0156086i
\(742\) 2.97521 7.84498i 0.109223 0.287998i
\(743\) 0.577366 + 1.35513i 0.0211815 + 0.0497148i 0.930234 0.366966i \(-0.119604\pi\)
−0.909053 + 0.416681i \(0.863193\pi\)
\(744\) −0.215734 5.35339i −0.00790921 0.196265i
\(745\) 6.13375 + 7.51248i 0.224723 + 0.275236i
\(746\) 47.2658i 1.73052i
\(747\) −1.04962 + 0.856986i −0.0384035 + 0.0313555i
\(748\) 13.1973 + 3.82266i 0.482542 + 0.139770i
\(749\) −8.93788 10.0888i −0.326583 0.368636i
\(750\) 31.7225 33.0267i 1.15834 1.20596i
\(751\) 14.2305 + 4.75085i 0.519279 + 0.173361i 0.564213 0.825629i \(-0.309180\pi\)
−0.0449341 + 0.998990i \(0.514308\pi\)
\(752\) −9.59277 12.7657i −0.349812 0.465515i
\(753\) −1.79254 14.7629i −0.0653238 0.537990i
\(754\) 26.3970 21.3334i 0.961322 0.776915i
\(755\) 0.0357937 0.294788i 0.00130267 0.0107284i
\(756\) −1.59620 + 0.921564i −0.0580531 + 0.0335169i
\(757\) 19.2358 14.4548i 0.699138 0.525368i −0.190698 0.981649i \(-0.561075\pi\)
0.889836 + 0.456281i \(0.150819\pi\)
\(758\) −0.153518 + 3.80951i −0.00557603 + 0.138368i
\(759\) 7.57091 2.87127i 0.274807 0.104220i
\(760\) −0.556652 + 0.113641i −0.0201919 + 0.00412221i
\(761\) 50.3753 10.2842i 1.82610 0.372802i 0.840492 0.541824i \(-0.182266\pi\)
0.985612 + 0.169022i \(0.0540609\pi\)
\(762\) −13.9626 + 5.29531i −0.505811 + 0.191829i
\(763\) 0.548296 13.6058i 0.0198497 0.492564i
\(764\) 2.00536 1.50693i 0.0725515 0.0545189i
\(765\) −20.3684 + 11.7597i −0.736419 + 0.425172i
\(766\) 0.278187 2.29108i 0.0100513 0.0827801i
\(767\) −16.7932 51.1519i −0.606366 1.84699i
\(768\) −2.50155 20.6021i −0.0902668 0.743414i
\(769\) −10.1346 13.4867i −0.365463 0.486343i 0.578830 0.815448i \(-0.303509\pi\)
−0.944293 + 0.329105i \(0.893253\pi\)
\(770\) −13.3703 4.46367i −0.481833 0.160859i
\(771\) −6.79434 + 7.07366i −0.244692 + 0.254752i
\(772\) 4.74295 + 5.35368i 0.170702 + 0.192683i
\(773\) 10.3485 + 2.99748i 0.372210 +