Properties

Label 588.2.ba.b.187.21
Level $588$
Weight $2$
Character 588.187
Analytic conductor $4.695$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.ba (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(28\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 187.21
Character \(\chi\) \(=\) 588.187
Dual form 588.2.ba.b.283.21

$q$-expansion

\(f(q)\) \(=\) \(q+(0.978694 - 1.02086i) q^{2} +(-0.988831 - 0.149042i) q^{3} +(-0.0843174 - 1.99822i) q^{4} +(2.70941 - 1.06337i) q^{5} +(-1.11991 + 0.863593i) q^{6} +(-2.19729 - 1.47375i) q^{7} +(-2.12243 - 1.86957i) q^{8} +(0.955573 + 0.294755i) q^{9} +O(q^{10})\) \(q+(0.978694 - 1.02086i) q^{2} +(-0.988831 - 0.149042i) q^{3} +(-0.0843174 - 1.99822i) q^{4} +(2.70941 - 1.06337i) q^{5} +(-1.11991 + 0.863593i) q^{6} +(-2.19729 - 1.47375i) q^{7} +(-2.12243 - 1.86957i) q^{8} +(0.955573 + 0.294755i) q^{9} +(1.56614 - 3.80665i) q^{10} +(-0.192138 - 0.622896i) q^{11} +(-0.214444 + 1.98847i) q^{12} +(-1.67169 - 0.381552i) q^{13} +(-3.65496 + 0.800779i) q^{14} +(-2.83764 + 0.647673i) q^{15} +(-3.98578 + 0.336970i) q^{16} +(1.43366 - 2.10279i) q^{17} +(1.23612 - 0.687033i) q^{18} +(0.182971 - 0.316916i) q^{19} +(-2.35329 - 5.32435i) q^{20} +(1.95309 + 1.78478i) q^{21} +(-0.823934 - 0.413478i) q^{22} +(2.51988 + 3.69599i) q^{23} +(1.82008 + 2.16502i) q^{24} +(2.54492 - 2.36134i) q^{25} +(-2.02559 + 1.33314i) q^{26} +(-0.900969 - 0.433884i) q^{27} +(-2.75960 + 4.51493i) q^{28} +(3.73489 - 1.79863i) q^{29} +(-2.11600 + 3.53071i) q^{30} +(-3.29773 - 5.71184i) q^{31} +(-3.55686 + 4.39872i) q^{32} +(0.0971541 + 0.644575i) q^{33} +(-0.743546 - 3.52156i) q^{34} +(-7.52049 - 1.65647i) q^{35} +(0.508415 - 1.93430i) q^{36} +(-0.0988249 + 1.31873i) q^{37} +(-0.144454 - 0.496952i) q^{38} +(1.59615 + 0.626443i) q^{39} +(-7.73858 - 2.80852i) q^{40} +(-5.90993 - 4.71302i) q^{41} +(3.73349 - 0.247091i) q^{42} +(3.72336 - 2.96928i) q^{43} +(-1.22848 + 0.436455i) q^{44} +(2.90248 - 0.217510i) q^{45} +(6.23929 + 1.04479i) q^{46} +(1.94447 + 1.80421i) q^{47} +(3.99149 + 0.260844i) q^{48} +(2.65614 + 6.47649i) q^{49} +(0.0800946 - 4.90904i) q^{50} +(-1.73105 + 1.86563i) q^{51} +(-0.621474 + 3.37258i) q^{52} +(0.210937 + 2.81476i) q^{53} +(-1.32471 + 0.495125i) q^{54} +(-1.18295 - 1.48337i) q^{55} +(1.90831 + 7.23591i) q^{56} +(-0.228162 + 0.286106i) q^{57} +(1.81916 - 5.57311i) q^{58} +(-3.17717 + 8.09530i) q^{59} +(1.53346 + 5.61562i) q^{60} +(3.20233 + 0.239981i) q^{61} +(-9.05846 - 2.22361i) q^{62} +(-1.66527 - 2.05593i) q^{63} +(1.00941 + 7.93606i) q^{64} +(-4.93503 + 0.743836i) q^{65} +(0.753106 + 0.531661i) q^{66} +(9.01042 - 5.20217i) q^{67} +(-4.32273 - 2.68747i) q^{68} +(-1.94088 - 4.03028i) q^{69} +(-9.05129 + 6.05621i) q^{70} +(5.67442 - 11.7831i) q^{71} +(-1.47707 - 2.41211i) q^{72} +(6.46380 + 6.96632i) q^{73} +(1.24952 + 1.39152i) q^{74} +(-2.86843 + 1.95566i) q^{75} +(-0.648696 - 0.338896i) q^{76} +(-0.495809 + 1.65184i) q^{77} +(2.20166 - 1.01635i) q^{78} +(13.4287 + 7.75309i) q^{79} +(-10.4408 + 5.15134i) q^{80} +(0.826239 + 0.563320i) q^{81} +(-10.5954 + 1.42063i) q^{82} +(-1.33714 - 5.85838i) q^{83} +(3.40170 - 4.05320i) q^{84} +(1.64834 - 7.22184i) q^{85} +(0.612804 - 6.70705i) q^{86} +(-3.96124 + 1.22188i) q^{87} +(-0.756748 + 1.68127i) q^{88} +(4.82757 - 15.6506i) q^{89} +(2.61859 - 3.17590i) q^{90} +(3.11087 + 3.30203i) q^{91} +(7.17294 - 5.34692i) q^{92} +(2.40959 + 6.13954i) q^{93} +(3.74489 - 0.219272i) q^{94} +(0.158748 - 1.05322i) q^{95} +(4.17273 - 3.81947i) q^{96} +11.1029i q^{97} +(9.21115 + 3.62695i) q^{98} -0.651856i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q + 28 q^{3} - 2 q^{7} - 6 q^{8} + 28 q^{9} + O(q^{10}) \) \( 336 q + 28 q^{3} - 2 q^{7} - 6 q^{8} + 28 q^{9} - 23 q^{10} - 6 q^{11} - 30 q^{14} - 12 q^{16} + 6 q^{19} + 25 q^{20} + 4 q^{21} + 6 q^{22} + 15 q^{24} - 26 q^{25} - 12 q^{26} - 56 q^{27} + 36 q^{28} - 13 q^{30} - 2 q^{31} - 25 q^{32} + 6 q^{33} + 68 q^{34} + 12 q^{35} + 16 q^{37} + 82 q^{38} - 8 q^{39} - 19 q^{40} - 9 q^{42} - 11 q^{44} + 10 q^{46} - 4 q^{47} - 8 q^{48} - 4 q^{49} - 114 q^{50} - 8 q^{52} - 4 q^{53} - 41 q^{56} - 12 q^{57} - 33 q^{58} + 10 q^{59} + 17 q^{60} + 2 q^{61} + 16 q^{62} + 12 q^{63} + 84 q^{64} - 4 q^{65} + 15 q^{66} - 42 q^{67} + 10 q^{68} - 38 q^{70} - 28 q^{71} + 33 q^{72} + 18 q^{73} + 2 q^{74} - 54 q^{75} - 7 q^{76} - 8 q^{77} - 6 q^{78} + 6 q^{79} - 14 q^{80} + 28 q^{81} - 87 q^{82} - 10 q^{83} - 14 q^{84} + 24 q^{85} + 126 q^{86} - 244 q^{88} - 20 q^{90} + 34 q^{91} + 14 q^{92} - 2 q^{93} - 184 q^{94} + 24 q^{95} - 20 q^{96} - 122 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.978694 1.02086i 0.692041 0.721858i
\(3\) −0.988831 0.149042i −0.570902 0.0860496i
\(4\) −0.0843174 1.99822i −0.0421587 0.999111i
\(5\) 2.70941 1.06337i 1.21169 0.475552i 0.328469 0.944515i \(-0.393467\pi\)
0.883218 + 0.468963i \(0.155372\pi\)
\(6\) −1.11991 + 0.863593i −0.457203 + 0.352560i
\(7\) −2.19729 1.47375i −0.830496 0.557024i
\(8\) −2.12243 1.86957i −0.750392 0.660993i
\(9\) 0.955573 + 0.294755i 0.318524 + 0.0982517i
\(10\) 1.56614 3.80665i 0.495256 1.20377i
\(11\) −0.192138 0.622896i −0.0579317 0.187810i 0.921982 0.387234i \(-0.126569\pi\)
−0.979913 + 0.199423i \(0.936093\pi\)
\(12\) −0.214444 + 1.98847i −0.0619046 + 0.574022i
\(13\) −1.67169 0.381552i −0.463644 0.105824i −0.0156831 0.999877i \(-0.504992\pi\)
−0.447960 + 0.894053i \(0.647849\pi\)
\(14\) −3.65496 + 0.800779i −0.976830 + 0.214017i
\(15\) −2.83764 + 0.647673i −0.732675 + 0.167228i
\(16\) −3.98578 + 0.336970i −0.996445 + 0.0842425i
\(17\) 1.43366 2.10279i 0.347713 0.510002i −0.612047 0.790821i \(-0.709654\pi\)
0.959761 + 0.280819i \(0.0906062\pi\)
\(18\) 1.23612 0.687033i 0.291356 0.161935i
\(19\) 0.182971 0.316916i 0.0419765 0.0727055i −0.844274 0.535912i \(-0.819968\pi\)
0.886250 + 0.463207i \(0.153301\pi\)
\(20\) −2.35329 5.32435i −0.526212 1.19056i
\(21\) 1.95309 + 1.78478i 0.426200 + 0.389470i
\(22\) −0.823934 0.413478i −0.175663 0.0881538i
\(23\) 2.51988 + 3.69599i 0.525432 + 0.770667i 0.993598 0.112973i \(-0.0360375\pi\)
−0.468166 + 0.883640i \(0.655085\pi\)
\(24\) 1.82008 + 2.16502i 0.371522 + 0.441933i
\(25\) 2.54492 2.36134i 0.508984 0.472268i
\(26\) −2.02559 + 1.33314i −0.397250 + 0.261451i
\(27\) −0.900969 0.433884i −0.173392 0.0835010i
\(28\) −2.75960 + 4.51493i −0.521516 + 0.853241i
\(29\) 3.73489 1.79863i 0.693551 0.333997i −0.0536826 0.998558i \(-0.517096\pi\)
0.747234 + 0.664562i \(0.231382\pi\)
\(30\) −2.11600 + 3.53071i −0.386326 + 0.644617i
\(31\) −3.29773 5.71184i −0.592290 1.02588i −0.993923 0.110076i \(-0.964891\pi\)
0.401633 0.915801i \(-0.368443\pi\)
\(32\) −3.55686 + 4.39872i −0.628770 + 0.777592i
\(33\) 0.0971541 + 0.644575i 0.0169124 + 0.112206i
\(34\) −0.743546 3.52156i −0.127517 0.603942i
\(35\) −7.52049 1.65647i −1.27120 0.279995i
\(36\) 0.508415 1.93430i 0.0847358 0.322383i
\(37\) −0.0988249 + 1.31873i −0.0162467 + 0.216797i 0.983171 + 0.182686i \(0.0584791\pi\)
−0.999418 + 0.0341114i \(0.989140\pi\)
\(38\) −0.144454 0.496952i −0.0234336 0.0806163i
\(39\) 1.59615 + 0.626443i 0.255589 + 0.100311i
\(40\) −7.73858 2.80852i −1.22358 0.444066i
\(41\) −5.90993 4.71302i −0.922977 0.736049i 0.0417982 0.999126i \(-0.486691\pi\)
−0.964775 + 0.263077i \(0.915263\pi\)
\(42\) 3.73349 0.247091i 0.576090 0.0381270i
\(43\) 3.72336 2.96928i 0.567807 0.452811i −0.297027 0.954869i \(-0.595995\pi\)
0.864834 + 0.502058i \(0.167424\pi\)
\(44\) −1.22848 + 0.436455i −0.185201 + 0.0657981i
\(45\) 2.90248 0.217510i 0.432676 0.0324245i
\(46\) 6.23929 + 1.04479i 0.919933 + 0.154046i
\(47\) 1.94447 + 1.80421i 0.283631 + 0.263171i 0.809139 0.587618i \(-0.199934\pi\)
−0.525508 + 0.850789i \(0.676125\pi\)
\(48\) 3.99149 + 0.260844i 0.576121 + 0.0376495i
\(49\) 2.65614 + 6.47649i 0.379448 + 0.925213i
\(50\) 0.0800946 4.90904i 0.0113271 0.694243i
\(51\) −1.73105 + 1.86563i −0.242396 + 0.261240i
\(52\) −0.621474 + 3.37258i −0.0861829 + 0.467693i
\(53\) 0.210937 + 2.81476i 0.0289745 + 0.386637i 0.992773 + 0.120006i \(0.0382915\pi\)
−0.963799 + 0.266631i \(0.914089\pi\)
\(54\) −1.32471 + 0.495125i −0.180270 + 0.0673780i
\(55\) −1.18295 1.48337i −0.159509 0.200017i
\(56\) 1.90831 + 7.23591i 0.255009 + 0.966939i
\(57\) −0.228162 + 0.286106i −0.0302208 + 0.0378956i
\(58\) 1.81916 5.57311i 0.238867 0.731785i
\(59\) −3.17717 + 8.09530i −0.413632 + 1.05392i 0.560543 + 0.828125i \(0.310592\pi\)
−0.974175 + 0.225793i \(0.927503\pi\)
\(60\) 1.53346 + 5.61562i 0.197968 + 0.724974i
\(61\) 3.20233 + 0.239981i 0.410016 + 0.0307264i 0.278142 0.960540i \(-0.410281\pi\)
0.131874 + 0.991266i \(0.457901\pi\)
\(62\) −9.05846 2.22361i −1.15043 0.282399i
\(63\) −1.66527 2.05593i −0.209805 0.259023i
\(64\) 1.00941 + 7.93606i 0.126176 + 0.992008i
\(65\) −4.93503 + 0.743836i −0.612115 + 0.0922616i
\(66\) 0.753106 + 0.531661i 0.0927009 + 0.0654429i
\(67\) 9.01042 5.20217i 1.10080 0.635546i 0.164367 0.986399i \(-0.447442\pi\)
0.936430 + 0.350853i \(0.114108\pi\)
\(68\) −4.32273 2.68747i −0.524207 0.325903i
\(69\) −1.94088 4.03028i −0.233654 0.485188i
\(70\) −9.05129 + 6.05621i −1.08184 + 0.723855i
\(71\) 5.67442 11.7831i 0.673430 1.39839i −0.231501 0.972835i \(-0.574364\pi\)
0.904931 0.425558i \(-0.139922\pi\)
\(72\) −1.47707 2.41211i −0.174074 0.284270i
\(73\) 6.46380 + 6.96632i 0.756531 + 0.815346i 0.987501 0.157615i \(-0.0503804\pi\)
−0.230970 + 0.972961i \(0.574190\pi\)
\(74\) 1.24952 + 1.39152i 0.145253 + 0.161760i
\(75\) −2.86843 + 1.95566i −0.331218 + 0.225821i
\(76\) −0.648696 0.338896i −0.0744105 0.0388740i
\(77\) −0.495809 + 1.65184i −0.0565026 + 0.188245i
\(78\) 2.20166 1.01635i 0.249288 0.115079i
\(79\) 13.4287 + 7.75309i 1.51085 + 0.872291i 0.999920 + 0.0126698i \(0.00403303\pi\)
0.510932 + 0.859621i \(0.329300\pi\)
\(80\) −10.4408 + 5.15134i −1.16732 + 0.575937i
\(81\) 0.826239 + 0.563320i 0.0918043 + 0.0625911i
\(82\) −10.5954 + 1.42063i −1.17006 + 0.156882i
\(83\) −1.33714 5.85838i −0.146770 0.643040i −0.993770 0.111448i \(-0.964451\pi\)
0.847000 0.531592i \(-0.178406\pi\)
\(84\) 3.40170 4.05320i 0.371156 0.442241i
\(85\) 1.64834 7.22184i 0.178787 0.783318i
\(86\) 0.612804 6.70705i 0.0660804 0.723240i
\(87\) −3.96124 + 1.22188i −0.424690 + 0.130999i
\(88\) −0.756748 + 1.68127i −0.0806696 + 0.179224i
\(89\) 4.82757 15.6506i 0.511721 1.65896i −0.218569 0.975822i \(-0.570139\pi\)
0.730290 0.683138i \(-0.239385\pi\)
\(90\) 2.61859 3.17590i 0.276023 0.334770i
\(91\) 3.11087 + 3.30203i 0.326108 + 0.346147i
\(92\) 7.17294 5.34692i 0.747830 0.557455i
\(93\) 2.40959 + 6.13954i 0.249863 + 0.636641i
\(94\) 3.74489 0.219272i 0.386256 0.0226162i
\(95\) 0.158748 1.05322i 0.0162872 0.108058i
\(96\) 4.17273 3.81947i 0.425877 0.389823i
\(97\) 11.1029i 1.12733i 0.826003 + 0.563666i \(0.190610\pi\)
−0.826003 + 0.563666i \(0.809390\pi\)
\(98\) 9.21115 + 3.62695i 0.930466 + 0.366377i
\(99\) 0.651856i 0.0655140i
\(100\) −4.93306 4.88621i −0.493306 0.488621i
\(101\) −0.138034 + 0.915798i −0.0137349 + 0.0911253i −0.994648 0.103321i \(-0.967053\pi\)
0.980913 + 0.194447i \(0.0622911\pi\)
\(102\) 0.210381 + 3.59304i 0.0208308 + 0.355764i
\(103\) −1.72009 4.38272i −0.169485 0.431842i 0.820743 0.571298i \(-0.193560\pi\)
−0.990228 + 0.139456i \(0.955465\pi\)
\(104\) 2.83471 + 3.93516i 0.277966 + 0.385874i
\(105\) 7.18961 + 2.75884i 0.701634 + 0.269235i
\(106\) 3.07993 + 2.53945i 0.299149 + 0.246653i
\(107\) −5.43629 + 17.6240i −0.525546 + 1.70378i 0.170128 + 0.985422i \(0.445582\pi\)
−0.695675 + 0.718357i \(0.744894\pi\)
\(108\) −0.791029 + 1.83692i −0.0761168 + 0.176758i
\(109\) 18.1768 5.60679i 1.74102 0.537033i 0.748938 0.662641i \(-0.230564\pi\)
0.992080 + 0.125608i \(0.0400881\pi\)
\(110\) −2.67206 0.244138i −0.254771 0.0232777i
\(111\) 0.294267 1.28927i 0.0279306 0.122372i
\(112\) 9.25451 + 5.13361i 0.874469 + 0.485081i
\(113\) 0.455218 + 1.99444i 0.0428233 + 0.187621i 0.991816 0.127678i \(-0.0407524\pi\)
−0.948992 + 0.315299i \(0.897895\pi\)
\(114\) 0.0687740 + 0.512931i 0.00644127 + 0.0480404i
\(115\) 10.7576 + 7.33441i 1.00315 + 0.683937i
\(116\) −3.90897 7.31148i −0.362939 0.678853i
\(117\) −1.48496 0.857341i −0.137284 0.0792612i
\(118\) 5.15470 + 11.1663i 0.474529 + 1.02794i
\(119\) −6.24914 + 2.50758i −0.572858 + 0.229870i
\(120\) 7.23356 + 3.93053i 0.660330 + 0.358806i
\(121\) 8.73754 5.95716i 0.794322 0.541560i
\(122\) 3.37908 3.03426i 0.305928 0.274709i
\(123\) 5.14149 + 5.54121i 0.463592 + 0.499634i
\(124\) −11.1355 + 7.07120i −0.999994 + 0.635013i
\(125\) −1.93007 + 4.00784i −0.172631 + 0.358472i
\(126\) −3.72862 0.312117i −0.332172 0.0278056i
\(127\) 5.39973 + 11.2126i 0.479148 + 0.994962i 0.990745 + 0.135736i \(0.0433399\pi\)
−0.511597 + 0.859226i \(0.670946\pi\)
\(128\) 9.08953 + 6.73650i 0.803408 + 0.595429i
\(129\) −4.12432 + 2.38118i −0.363126 + 0.209651i
\(130\) −4.07053 + 5.76597i −0.357009 + 0.505709i
\(131\) 10.7142 1.61491i 0.936104 0.141095i 0.336764 0.941589i \(-0.390668\pi\)
0.599341 + 0.800494i \(0.295430\pi\)
\(132\) 1.27981 0.248484i 0.111393 0.0216278i
\(133\) −0.869095 + 0.426701i −0.0753601 + 0.0369997i
\(134\) 3.50775 14.2897i 0.303023 1.23444i
\(135\) −2.90248 0.217510i −0.249805 0.0187203i
\(136\) −6.97415 + 1.78270i −0.598029 + 0.152865i
\(137\) −8.11545 + 20.6778i −0.693350 + 1.76663i −0.0529328 + 0.998598i \(0.516857\pi\)
−0.640417 + 0.768028i \(0.721238\pi\)
\(138\) −6.01388 1.96304i −0.511936 0.167105i
\(139\) 0.695796 0.872501i 0.0590167 0.0740045i −0.751447 0.659793i \(-0.770644\pi\)
0.810464 + 0.585789i \(0.199215\pi\)
\(140\) −2.67589 + 15.1673i −0.226154 + 1.28187i
\(141\) −1.65385 2.07387i −0.139280 0.174651i
\(142\) −6.47536 17.3248i −0.543400 1.45387i
\(143\) 0.0835277 + 1.11460i 0.00698494 + 0.0932075i
\(144\) −3.90803 0.852830i −0.325669 0.0710692i
\(145\) 8.20676 8.84478i 0.681534 0.734519i
\(146\) 13.4377 + 0.219247i 1.11211 + 0.0181450i
\(147\) −1.66120 6.80003i −0.137014 0.560857i
\(148\) 2.64344 + 0.0862824i 0.217289 + 0.00709237i
\(149\) −7.82263 7.25834i −0.640855 0.594626i 0.291324 0.956624i \(-0.405904\pi\)
−0.932179 + 0.361998i \(0.882095\pi\)
\(150\) −0.810854 + 4.84227i −0.0662060 + 0.395370i
\(151\) 18.1084 1.35704i 1.47364 0.110434i 0.686465 0.727163i \(-0.259162\pi\)
0.787175 + 0.616729i \(0.211543\pi\)
\(152\) −0.980840 + 0.330553i −0.0795567 + 0.0268114i
\(153\) 1.98977 1.58679i 0.160864 0.128284i
\(154\) 1.20106 + 2.12280i 0.0967840 + 0.171060i
\(155\) −15.0087 11.9690i −1.20553 0.961376i
\(156\) 1.11719 3.24229i 0.0894467 0.259591i
\(157\) −21.9832 8.62776i −1.75445 0.688570i −0.999461 0.0328303i \(-0.989548\pi\)
−0.754987 0.655740i \(-0.772357\pi\)
\(158\) 21.0575 6.12099i 1.67524 0.486960i
\(159\) 0.210937 2.81476i 0.0167284 0.223225i
\(160\) −4.95955 + 15.7002i −0.392087 + 1.24121i
\(161\) −0.0899512 11.8348i −0.00708915 0.932714i
\(162\) 1.38371 0.292158i 0.108714 0.0229541i
\(163\) 0.839186 + 5.56763i 0.0657301 + 0.436091i 0.997356 + 0.0726717i \(0.0231525\pi\)
−0.931626 + 0.363419i \(0.881609\pi\)
\(164\) −8.91934 + 12.2067i −0.696483 + 0.953187i
\(165\) 0.948650 + 1.64311i 0.0738523 + 0.127916i
\(166\) −7.28924 4.36853i −0.565755 0.339063i
\(167\) −3.27159 + 1.57551i −0.253163 + 0.121917i −0.556162 0.831074i \(-0.687727\pi\)
0.302999 + 0.952991i \(0.402012\pi\)
\(168\) −0.808541 7.43951i −0.0623803 0.573970i
\(169\) −9.06363 4.36481i −0.697202 0.335755i
\(170\) −5.75928 8.75069i −0.441717 0.671147i
\(171\) 0.268255 0.248904i 0.0205140 0.0190342i
\(172\) −6.24723 7.18974i −0.476347 0.548212i
\(173\) −6.86412 10.0678i −0.521870 0.765442i 0.471319 0.881963i \(-0.343778\pi\)
−0.993188 + 0.116521i \(0.962826\pi\)
\(174\) −2.62947 + 5.23973i −0.199340 + 0.397223i
\(175\) −9.07193 + 1.43797i −0.685774 + 0.108701i
\(176\) 0.975716 + 2.41798i 0.0735474 + 0.182262i
\(177\) 4.34822 7.53135i 0.326833 0.566091i
\(178\) −11.2524 20.2454i −0.843401 1.51746i
\(179\) 1.69991 2.49330i 0.127057 0.186358i −0.757439 0.652906i \(-0.773550\pi\)
0.884496 + 0.466547i \(0.154502\pi\)
\(180\) −0.679363 5.78145i −0.0506368 0.430924i
\(181\) −15.3081 + 3.49397i −1.13784 + 0.259705i −0.749624 0.661864i \(-0.769766\pi\)
−0.388216 + 0.921568i \(0.626909\pi\)
\(182\) 6.41551 + 0.0559055i 0.475549 + 0.00414399i
\(183\) −3.13079 0.714583i −0.231435 0.0528235i
\(184\) 1.56164 12.5556i 0.115126 0.925609i
\(185\) 1.13453 + 3.67806i 0.0834125 + 0.270417i
\(186\) 8.62588 + 3.54887i 0.632480 + 0.260216i
\(187\) −1.58528 0.488994i −0.115927 0.0357588i
\(188\) 3.44126 4.03762i 0.250979 0.294474i
\(189\) 1.34025 + 2.28117i 0.0974890 + 0.165931i
\(190\) −0.919829 1.19284i −0.0667314 0.0865378i
\(191\) −6.66548 + 2.61601i −0.482297 + 0.189288i −0.594018 0.804452i \(-0.702459\pi\)
0.111720 + 0.993740i \(0.464364\pi\)
\(192\) 0.184672 7.99787i 0.0133275 0.577196i
\(193\) 3.28829 + 0.495630i 0.236696 + 0.0356762i 0.266319 0.963885i \(-0.414193\pi\)
−0.0296228 + 0.999561i \(0.509431\pi\)
\(194\) 11.3346 + 10.8664i 0.813774 + 0.780160i
\(195\) 4.99078 0.357397
\(196\) 12.7175 5.85363i 0.908393 0.418117i
\(197\) 9.06822 0.646084 0.323042 0.946385i \(-0.395295\pi\)
0.323042 + 0.946385i \(0.395295\pi\)
\(198\) −0.665455 0.637967i −0.0472918 0.0453383i
\(199\) 19.9461 + 3.00639i 1.41394 + 0.213117i 0.811176 0.584802i \(-0.198828\pi\)
0.602765 + 0.797919i \(0.294066\pi\)
\(200\) −9.81610 + 0.253871i −0.694103 + 0.0179514i
\(201\) −9.68512 + 3.80113i −0.683136 + 0.268111i
\(202\) 0.799810 + 1.03720i 0.0562744 + 0.0729771i
\(203\) −10.8573 1.55218i −0.762036 0.108942i
\(204\) 3.87390 + 3.30172i 0.271227 + 0.231166i
\(205\) −21.0241 6.48508i −1.46839 0.452938i
\(206\) −6.15759 2.53336i −0.429020 0.176508i
\(207\) 1.31852 + 4.27453i 0.0916434 + 0.297101i
\(208\) 6.79156 + 0.957475i 0.470910 + 0.0663890i
\(209\) −0.232561 0.0530806i −0.0160866 0.00367166i
\(210\) 9.85282 4.63954i 0.679909 0.320159i
\(211\) −14.4007 + 3.28686i −0.991382 + 0.226277i −0.687304 0.726370i \(-0.741206\pi\)
−0.304079 + 0.952647i \(0.598349\pi\)
\(212\) 5.60673 0.658833i 0.385072 0.0452488i
\(213\) −7.36722 + 10.8057i −0.504794 + 0.740396i
\(214\) 12.6712 + 22.7982i 0.866187 + 1.55845i
\(215\) 6.93069 12.0043i 0.472669 0.818687i
\(216\) 1.10107 + 2.60531i 0.0749181 + 0.177269i
\(217\) −1.17174 + 17.4106i −0.0795432 + 1.18191i
\(218\) 12.0657 24.0433i 0.817194 1.62842i
\(219\) −5.35333 7.85189i −0.361744 0.530582i
\(220\) −2.86436 + 2.48887i −0.193115 + 0.167799i
\(221\) −3.19896 + 2.96820i −0.215185 + 0.199663i
\(222\) −1.02817 1.56220i −0.0690061 0.104848i
\(223\) 3.46204 + 1.66723i 0.231835 + 0.111646i 0.546195 0.837658i \(-0.316076\pi\)
−0.314360 + 0.949304i \(0.601790\pi\)
\(224\) 14.2980 4.42334i 0.955328 0.295547i
\(225\) 3.12787 1.50630i 0.208525 0.100420i
\(226\) 2.48157 + 1.48723i 0.165071 + 0.0989291i
\(227\) −6.72753 11.6524i −0.446522 0.773399i 0.551635 0.834086i \(-0.314004\pi\)
−0.998157 + 0.0606871i \(0.980671\pi\)
\(228\) 0.590941 + 0.431794i 0.0391360 + 0.0285963i
\(229\) 1.36439 + 9.05217i 0.0901618 + 0.598184i 0.987594 + 0.157031i \(0.0501923\pi\)
−0.897432 + 0.441153i \(0.854570\pi\)
\(230\) 18.0158 3.80388i 1.18793 0.250821i
\(231\) 0.736465 1.55950i 0.0484559 0.102607i
\(232\) −11.2897 3.16518i −0.741205 0.207804i
\(233\) 0.428847 5.72257i 0.0280947 0.374898i −0.965380 0.260847i \(-0.915998\pi\)
0.993475 0.114051i \(-0.0363827\pi\)
\(234\) −2.32854 + 0.676862i −0.152222 + 0.0442479i
\(235\) 7.18692 + 2.82066i 0.468823 + 0.184000i
\(236\) 16.4441 + 5.66612i 1.07042 + 0.368833i
\(237\) −12.1232 9.66795i −0.787488 0.628001i
\(238\) −3.55610 + 8.83367i −0.230508 + 0.572602i
\(239\) −16.3451 + 13.0348i −1.05728 + 0.843151i −0.988001 0.154447i \(-0.950641\pi\)
−0.0692765 + 0.997597i \(0.522069\pi\)
\(240\) 11.0920 3.53768i 0.715983 0.228356i
\(241\) −22.4965 + 1.68588i −1.44913 + 0.108597i −0.775909 0.630844i \(-0.782709\pi\)
−0.673221 + 0.739442i \(0.735090\pi\)
\(242\) 2.46995 14.7501i 0.158774 0.948170i
\(243\) −0.733052 0.680173i −0.0470253 0.0436331i
\(244\) 0.209524 6.41919i 0.0134134 0.410947i
\(245\) 14.0835 + 14.7230i 0.899760 + 0.940621i
\(246\) 10.6887 + 0.174395i 0.681489 + 0.0111190i
\(247\) −0.426792 + 0.459972i −0.0271561 + 0.0292673i
\(248\) −3.67948 + 18.2883i −0.233647 + 1.16131i
\(249\) 0.449056 + 5.99223i 0.0284578 + 0.379742i
\(250\) 2.20250 + 5.89278i 0.139298 + 0.372692i
\(251\) −9.51756 11.9346i −0.600743 0.753308i 0.384751 0.923021i \(-0.374287\pi\)
−0.985494 + 0.169713i \(0.945716\pi\)
\(252\) −3.96780 + 3.50094i −0.249948 + 0.220538i
\(253\) 1.81805 2.27976i 0.114300 0.143327i
\(254\) 16.7312 + 5.46137i 1.04981 + 0.342677i
\(255\) −2.70629 + 6.89550i −0.169474 + 0.431813i
\(256\) 15.7729 2.68618i 0.985806 0.167886i
\(257\) −22.8510 1.71244i −1.42541 0.106819i −0.660434 0.750884i \(-0.729628\pi\)
−0.764971 + 0.644065i \(0.777247\pi\)
\(258\) −1.60559 + 6.54081i −0.0999599 + 0.407213i
\(259\) 2.16062 2.75198i 0.134254 0.171000i
\(260\) 1.90246 + 9.79857i 0.117986 + 0.607682i
\(261\) 4.09911 0.617841i 0.253729 0.0382434i
\(262\) 8.83733 12.5182i 0.545972 0.773378i
\(263\) 0.346778 0.200212i 0.0213832 0.0123456i −0.489270 0.872132i \(-0.662737\pi\)
0.510654 + 0.859787i \(0.329404\pi\)
\(264\) 0.998876 1.54970i 0.0614766 0.0953775i
\(265\) 3.56464 + 7.40205i 0.218974 + 0.454705i
\(266\) −0.414974 + 1.30484i −0.0254437 + 0.0800046i
\(267\) −7.10625 + 14.7563i −0.434895 + 0.903069i
\(268\) −11.1548 17.5662i −0.681389 1.07303i
\(269\) −0.611380 0.658911i −0.0372765 0.0401745i 0.714138 0.700005i \(-0.246819\pi\)
−0.751415 + 0.659830i \(0.770628\pi\)
\(270\) −3.06268 + 2.75015i −0.186389 + 0.167369i
\(271\) 5.31106 3.62102i 0.322624 0.219961i −0.391168 0.920319i \(-0.627929\pi\)
0.713791 + 0.700358i \(0.246976\pi\)
\(272\) −5.00567 + 8.86436i −0.303513 + 0.537481i
\(273\) −2.58398 3.72880i −0.156390 0.225677i
\(274\) 13.1667 + 28.5220i 0.795427 + 1.72308i
\(275\) −1.95984 1.13152i −0.118183 0.0682330i
\(276\) −7.88974 + 4.21813i −0.474906 + 0.253902i
\(277\) −14.8212 10.1050i −0.890522 0.607148i 0.0292623 0.999572i \(-0.490684\pi\)
−0.919784 + 0.392424i \(0.871637\pi\)
\(278\) −0.209731 1.56422i −0.0125789 0.0938158i
\(279\) −1.46763 6.43010i −0.0878646 0.384960i
\(280\) 12.8648 + 17.5758i 0.768821 + 1.05036i
\(281\) 1.45854 6.39028i 0.0870092 0.381212i −0.912609 0.408833i \(-0.865936\pi\)
0.999618 + 0.0276206i \(0.00879303\pi\)
\(282\) −3.73575 0.341324i −0.222460 0.0203256i
\(283\) −16.4969 + 5.08863i −0.980640 + 0.302487i −0.743314 0.668943i \(-0.766747\pi\)
−0.237326 + 0.971430i \(0.576271\pi\)
\(284\) −24.0236 10.3452i −1.42554 0.613877i
\(285\) −0.313949 + 1.01780i −0.0185967 + 0.0602892i
\(286\) 1.21960 + 1.00558i 0.0721165 + 0.0594613i
\(287\) 6.04003 + 19.0656i 0.356532 + 1.12541i
\(288\) −4.69538 + 3.15490i −0.276678 + 0.185904i
\(289\) 3.84444 + 9.79549i 0.226144 + 0.576205i
\(290\) −0.997397 17.0343i −0.0585692 1.00029i
\(291\) 1.65481 10.9789i 0.0970065 0.643596i
\(292\) 13.3752 13.5035i 0.782727 0.790232i
\(293\) 27.4307i 1.60252i 0.598319 + 0.801258i \(0.295836\pi\)
−0.598319 + 0.801258i \(0.704164\pi\)
\(294\) −8.56770 4.95929i −0.499678 0.289232i
\(295\) 25.3120i 1.47372i
\(296\) 2.67520 2.61414i 0.155493 0.151944i
\(297\) −0.0971541 + 0.644575i −0.00563745 + 0.0374020i
\(298\) −15.0657 + 0.882133i −0.872734 + 0.0511006i
\(299\) −2.80225 7.14002i −0.162058 0.412918i
\(300\) 4.14971 + 5.56687i 0.239584 + 0.321403i
\(301\) −12.5573 + 1.03707i −0.723789 + 0.0597757i
\(302\) 16.3372 19.8143i 0.940101 1.14018i
\(303\) 0.272985 0.884996i 0.0156826 0.0508417i
\(304\) −0.622493 + 1.32481i −0.0357024 + 0.0759832i
\(305\) 8.93162 2.75504i 0.511423 0.157753i
\(306\) 0.327484 3.58427i 0.0187210 0.204899i
\(307\) 5.26503 23.0676i 0.300491 1.31654i −0.568897 0.822409i \(-0.692630\pi\)
0.869389 0.494129i \(-0.164513\pi\)
\(308\) 3.34255 + 0.851457i 0.190460 + 0.0485162i
\(309\) 1.04767 + 4.59013i 0.0595997 + 0.261123i
\(310\) −26.9076 + 3.60778i −1.52825 + 0.204908i
\(311\) 26.7166 + 18.2151i 1.51496 + 1.03288i 0.982464 + 0.186453i \(0.0596991\pi\)
0.532498 + 0.846431i \(0.321253\pi\)
\(312\) −2.21654 4.31370i −0.125487 0.244215i
\(313\) 23.9208 + 13.8107i 1.35209 + 0.780627i 0.988541 0.150950i \(-0.0482333\pi\)
0.363544 + 0.931577i \(0.381567\pi\)
\(314\) −30.3225 + 13.9978i −1.71120 + 0.789944i
\(315\) −6.69813 3.79958i −0.377397 0.214082i
\(316\) 14.3601 27.4873i 0.807820 1.54628i
\(317\) −11.5406 + 7.86824i −0.648184 + 0.441925i −0.842267 0.539061i \(-0.818779\pi\)
0.194083 + 0.980985i \(0.437827\pi\)
\(318\) −2.66704 2.97013i −0.149560 0.166556i
\(319\) −1.83797 1.98086i −0.102907 0.110907i
\(320\) 11.1739 + 20.4287i 0.624638 + 1.14200i
\(321\) 8.00230 16.6169i 0.446645 0.927467i
\(322\) −12.1697 11.4908i −0.678193 0.640359i
\(323\) −0.404089 0.839100i −0.0224841 0.0466888i
\(324\) 1.05597 1.69851i 0.0586651 0.0943614i
\(325\) −5.15529 + 2.97641i −0.285964 + 0.165101i
\(326\) 6.50509 + 4.59232i 0.360284 + 0.254345i
\(327\) −18.8094 + 2.83506i −1.04016 + 0.156779i
\(328\) 3.73210 + 21.0521i 0.206071 + 1.16241i
\(329\) −1.61362 6.83003i −0.0889618 0.376552i
\(330\) 2.60583 + 0.639661i 0.143446 + 0.0352122i
\(331\) −17.5915 1.31830i −0.966918 0.0724605i −0.418099 0.908402i \(-0.637303\pi\)
−0.548819 + 0.835941i \(0.684922\pi\)
\(332\) −11.5936 + 3.16586i −0.636281 + 0.173749i
\(333\) −0.483136 + 1.23101i −0.0264757 + 0.0674589i
\(334\) −1.59350 + 4.88178i −0.0871925 + 0.267119i
\(335\) 18.8811 23.6762i 1.03159 1.29357i
\(336\) −8.38602 6.45559i −0.457495 0.352181i
\(337\) −10.1399 12.7150i −0.552353 0.692629i 0.424771 0.905301i \(-0.360355\pi\)
−0.977124 + 0.212672i \(0.931783\pi\)
\(338\) −13.3264 + 4.98090i −0.724860 + 0.270925i
\(339\) −0.152878 2.04001i −0.00830317 0.110798i
\(340\) −14.5698 2.68482i −0.790159 0.145605i
\(341\) −2.92426 + 3.15160i −0.158358 + 0.170669i
\(342\) 0.00844263 0.517453i 0.000456525 0.0279806i
\(343\) 3.70841 18.1452i 0.200235 0.979748i
\(344\) −13.4539 0.658997i −0.725383 0.0355307i
\(345\) −9.54431 8.85582i −0.513848 0.476782i
\(346\) −16.9957 2.84599i −0.913696 0.153001i
\(347\) −30.4077 + 2.27874i −1.63237 + 0.122329i −0.859120 0.511774i \(-0.828989\pi\)
−0.773249 + 0.634103i \(0.781370\pi\)
\(348\) 2.77559 + 7.81241i 0.148787 + 0.418789i
\(349\) −6.18010 + 4.92847i −0.330813 + 0.263815i −0.774783 0.632227i \(-0.782141\pi\)
0.443970 + 0.896042i \(0.353570\pi\)
\(350\) −7.41067 + 10.6685i −0.396117 + 0.570257i
\(351\) 1.34059 + 1.06909i 0.0715555 + 0.0570636i
\(352\) 3.42335 + 1.37039i 0.182465 + 0.0730421i
\(353\) 32.8266 + 12.8835i 1.74718 + 0.685719i 0.999772 + 0.0213576i \(0.00679884\pi\)
0.747411 + 0.664361i \(0.231296\pi\)
\(354\) −3.43288 11.8098i −0.182456 0.627685i
\(355\) 2.84465 37.9592i 0.150978 2.01466i
\(356\) −31.6804 8.32693i −1.67906 0.441327i
\(357\) 6.55308 1.54819i 0.346826 0.0819389i
\(358\) −0.881632 4.17555i −0.0465957 0.220685i
\(359\) 1.09276 + 7.24997i 0.0576736 + 0.382639i 0.998983 + 0.0450935i \(0.0143586\pi\)
−0.941309 + 0.337545i \(0.890403\pi\)
\(360\) −6.56695 4.96473i −0.346109 0.261664i
\(361\) 9.43304 + 16.3385i 0.496476 + 0.859922i
\(362\) −11.4151 + 19.0470i −0.599962 + 1.00109i
\(363\) −9.52782 + 4.58836i −0.500081 + 0.240826i
\(364\) 6.33589 6.49463i 0.332091 0.340411i
\(365\) 24.9209 + 12.0013i 1.30442 + 0.628175i
\(366\) −3.79358 + 2.49675i −0.198293 + 0.130507i
\(367\) 0.0814429 0.0755680i 0.00425128 0.00394462i −0.678044 0.735021i \(-0.737172\pi\)
0.682296 + 0.731076i \(0.260982\pi\)
\(368\) −11.2891 13.8823i −0.588487 0.723664i
\(369\) −4.25819 6.24561i −0.221672 0.325134i
\(370\) 4.86515 + 2.44150i 0.252927 + 0.126927i
\(371\) 3.68476 6.49571i 0.191303 0.337240i
\(372\) 12.0650 5.33257i 0.625541 0.276481i
\(373\) 0.800553 1.38660i 0.0414511 0.0717954i −0.844556 0.535468i \(-0.820135\pi\)
0.886007 + 0.463673i \(0.153469\pi\)
\(374\) −2.05070 + 1.13978i −0.106039 + 0.0589364i
\(375\) 2.50585 3.67541i 0.129402 0.189797i
\(376\) −0.753914 7.46464i −0.0388801 0.384959i
\(377\) −6.92984 + 1.58169i −0.356905 + 0.0814613i
\(378\) 3.64045 + 0.864352i 0.187245 + 0.0444575i
\(379\) −20.7164 4.72839i −1.06413 0.242881i −0.345605 0.938380i \(-0.612326\pi\)
−0.718527 + 0.695499i \(0.755183\pi\)
\(380\) −2.11796 0.228408i −0.108649 0.0117171i
\(381\) −3.66826 11.8922i −0.187931 0.609256i
\(382\) −3.85288 + 9.36481i −0.197131 + 0.479145i
\(383\) 20.2947 + 6.26010i 1.03701 + 0.319876i 0.766095 0.642727i \(-0.222197\pi\)
0.270917 + 0.962603i \(0.412673\pi\)
\(384\) −7.98398 8.01599i −0.407431 0.409064i
\(385\) 0.413164 + 5.00275i 0.0210568 + 0.254964i
\(386\) 3.72420 2.87182i 0.189557 0.146172i
\(387\) 4.43315 1.73988i 0.225350 0.0884433i
\(388\) 22.1861 0.936171i 1.12633 0.0475269i
\(389\) −6.58447 0.992450i −0.333846 0.0503192i −0.0200197 0.999800i \(-0.506373\pi\)
−0.313826 + 0.949480i \(0.601611\pi\)
\(390\) 4.88444 5.09489i 0.247333 0.257990i
\(391\) 11.3845 0.575741
\(392\) 6.47079 18.7117i 0.326824 0.945085i
\(393\) −10.8352 −0.546565
\(394\) 8.87501 9.25740i 0.447116 0.466381i
\(395\) 44.6284 + 6.72665i 2.24550 + 0.338455i
\(396\) −1.30255 + 0.0549628i −0.0654557 + 0.00276198i
\(397\) 14.9987 5.88655i 0.752762 0.295437i 0.0422356 0.999108i \(-0.486552\pi\)
0.710527 + 0.703670i \(0.248457\pi\)
\(398\) 22.5902 17.4199i 1.13235 0.873179i
\(399\) 0.922984 0.292404i 0.0462070 0.0146385i
\(400\) −9.34779 + 10.2693i −0.467389 + 0.513467i
\(401\) −21.5560 6.64916i −1.07646 0.332043i −0.294677 0.955597i \(-0.595212\pi\)
−0.781780 + 0.623554i \(0.785688\pi\)
\(402\) −5.59834 + 13.6073i −0.279220 + 0.678671i
\(403\) 3.33342 + 10.8067i 0.166049 + 0.538319i
\(404\) 1.84161 + 0.198606i 0.0916233 + 0.00988099i
\(405\) 2.83764 + 0.647673i 0.141003 + 0.0321831i
\(406\) −12.2106 + 9.56473i −0.606000 + 0.474690i
\(407\) 0.840417 0.191820i 0.0416579 0.00950815i
\(408\) 7.16196 0.723344i 0.354570 0.0358109i
\(409\) 12.8619 18.8649i 0.635980 0.932811i −0.364019 0.931391i \(-0.618596\pi\)
0.999999 0.00141941i \(-0.000451814\pi\)
\(410\) −27.1966 + 15.1158i −1.34314 + 0.746517i
\(411\) 11.1067 19.2373i 0.547852 0.948907i
\(412\) −8.61261 + 3.80666i −0.424313 + 0.187541i
\(413\) 18.9116 13.1053i 0.930578 0.644872i
\(414\) 5.65414 + 2.83743i 0.277886 + 0.139452i
\(415\) −9.85246 14.4509i −0.483638 0.709367i
\(416\) 7.62431 5.99617i 0.373813 0.293987i
\(417\) −0.818064 + 0.759053i −0.0400608 + 0.0371710i
\(418\) −0.281794 + 0.185463i −0.0137830 + 0.00907130i
\(419\) −34.0797 16.4119i −1.66490 0.801774i −0.998416 0.0562554i \(-0.982084\pi\)
−0.666485 0.745519i \(-0.732202\pi\)
\(420\) 4.90657 14.5991i 0.239416 0.712361i
\(421\) 19.0608 9.17921i 0.928968 0.447367i 0.0927034 0.995694i \(-0.470449\pi\)
0.836264 + 0.548326i \(0.184735\pi\)
\(422\) −10.7384 + 17.9179i −0.522738 + 0.872230i
\(423\) 1.32629 + 2.29720i 0.0644863 + 0.111694i
\(424\) 4.81470 6.36850i 0.233822 0.309281i
\(425\) −1.31686 8.73678i −0.0638770 0.423796i
\(426\) 3.82090 + 18.0964i 0.185123 + 0.876774i
\(427\) −6.68276 5.24673i −0.323401 0.253907i
\(428\) 35.6751 + 9.37691i 1.72442 + 0.453250i
\(429\) 0.0835277 1.11460i 0.00403275 0.0538134i
\(430\) −5.47172 18.8238i −0.263870 0.907765i
\(431\) 30.8079 + 12.0912i 1.48397 + 0.582413i 0.962602 0.270921i \(-0.0873283\pi\)
0.521364 + 0.853335i \(0.325424\pi\)
\(432\) 3.73727 + 1.42577i 0.179810 + 0.0685972i
\(433\) −14.6778 11.7051i −0.705369 0.562513i 0.203764 0.979020i \(-0.434683\pi\)
−0.909132 + 0.416507i \(0.863254\pi\)
\(434\) 16.6270 + 18.2358i 0.798122 + 0.875346i
\(435\) −9.43334 + 7.52284i −0.452294 + 0.360692i
\(436\) −12.7362 35.8484i −0.609954 1.71683i
\(437\) 1.63238 0.122330i 0.0780875 0.00585185i
\(438\) −13.2550 2.21959i −0.633347 0.106056i
\(439\) 12.8184 + 11.8937i 0.611789 + 0.567657i 0.924018 0.382350i \(-0.124885\pi\)
−0.312228 + 0.950007i \(0.601075\pi\)
\(440\) −0.262541 + 5.35995i −0.0125162 + 0.255526i
\(441\) 0.629154 + 6.97167i 0.0299597 + 0.331984i
\(442\) −0.100679 + 6.17065i −0.00478880 + 0.293508i
\(443\) −16.5765 + 17.8653i −0.787575 + 0.848804i −0.991490 0.130185i \(-0.958443\pi\)
0.203915 + 0.978989i \(0.434633\pi\)
\(444\) −2.60106 0.479303i −0.123441 0.0227467i
\(445\) −3.56244 47.5374i −0.168876 2.25349i
\(446\) 5.09029 1.90256i 0.241032 0.0900887i
\(447\) 6.65346 + 8.34317i 0.314698 + 0.394619i
\(448\) 9.47778 18.9254i 0.447783 0.894142i
\(449\) −11.6399 + 14.5960i −0.549322 + 0.688828i −0.976544 0.215319i \(-0.930921\pi\)
0.427222 + 0.904147i \(0.359492\pi\)
\(450\) 1.52350 4.66733i 0.0718185 0.220020i
\(451\) −1.80019 + 4.58682i −0.0847679 + 0.215985i
\(452\) 3.94695 1.07779i 0.185649 0.0506951i
\(453\) −18.1084 1.35704i −0.850806 0.0637591i
\(454\) −18.4797 4.53628i −0.867296 0.212898i
\(455\) 11.9399 + 5.63857i 0.559752 + 0.264340i
\(456\) 1.01915 0.180675i 0.0477262 0.00846087i
\(457\) 7.15305 1.07815i 0.334605 0.0504336i 0.0204092 0.999792i \(-0.493503\pi\)
0.314196 + 0.949358i \(0.398265\pi\)
\(458\) 10.5763 + 7.46644i 0.494200 + 0.348884i
\(459\) −2.20405 + 1.27251i −0.102876 + 0.0593956i
\(460\) 13.7487 22.1145i 0.641037 1.03109i
\(461\) −9.87349 20.5025i −0.459854 0.954898i −0.993987 0.109497i \(-0.965076\pi\)
0.534133 0.845401i \(-0.320638\pi\)
\(462\) −0.871257 2.27810i −0.0405345 0.105987i
\(463\) −4.00358 + 8.31352i −0.186062 + 0.386362i −0.973046 0.230612i \(-0.925927\pi\)
0.786984 + 0.616974i \(0.211642\pi\)
\(464\) −14.2804 + 8.42748i −0.662949 + 0.391236i
\(465\) 13.0572 + 14.0723i 0.605512 + 0.652586i
\(466\) −5.42224 6.03843i −0.251180 0.279725i
\(467\) 4.32942 2.95175i 0.200342 0.136591i −0.458994 0.888439i \(-0.651790\pi\)
0.659336 + 0.751849i \(0.270838\pi\)
\(468\) −1.58795 + 3.03956i −0.0734030 + 0.140504i
\(469\) −27.4652 1.84843i −1.26822 0.0853524i
\(470\) 9.91330 4.57629i 0.457266 0.211089i
\(471\) 20.4517 + 11.8078i 0.942366 + 0.544075i
\(472\) 21.8780 11.2417i 1.00702 0.517443i
\(473\) −2.56495 1.74875i −0.117937 0.0804078i
\(474\) −21.7346 + 2.91417i −0.998301 + 0.133852i
\(475\) −0.282698 1.23858i −0.0129711 0.0568301i
\(476\) 5.53762 + 12.2757i 0.253816 + 0.562657i
\(477\) −0.628100 + 2.75189i −0.0287587 + 0.126000i
\(478\) −2.69014 + 29.4432i −0.123044 + 1.34670i
\(479\) 7.97506 2.45998i 0.364390 0.112399i −0.107153 0.994243i \(-0.534174\pi\)
0.471543 + 0.881843i \(0.343697\pi\)
\(480\) 7.24415 14.7857i 0.330649 0.674870i
\(481\) 0.668368 2.16680i 0.0304749 0.0987974i
\(482\) −20.2962 + 24.6158i −0.924465 + 1.12122i
\(483\) −1.67494 + 11.7160i −0.0762125 + 0.533098i
\(484\) −12.6404 16.9573i −0.574566 0.770785i
\(485\) 11.8065 + 30.0825i 0.536105 + 1.36597i
\(486\) −1.41180 + 0.0826639i −0.0640403 + 0.00374971i
\(487\) −1.69136 + 11.2215i −0.0766429 + 0.508493i 0.917265 + 0.398278i \(0.130392\pi\)
−0.993908 + 0.110215i \(0.964846\pi\)
\(488\) −6.34805 6.49632i −0.287363 0.294075i
\(489\) 5.63052i 0.254621i
\(490\) 28.8136 + 0.0320836i 1.30167 + 0.00144939i
\(491\) 28.3147i 1.27783i 0.769279 + 0.638913i \(0.220616\pi\)
−0.769279 + 0.638913i \(0.779384\pi\)
\(492\) 10.6390 10.7411i 0.479645 0.484244i
\(493\) 1.57242 10.4323i 0.0708181 0.469847i
\(494\) 0.0518695 + 0.885867i 0.00233372 + 0.0398570i
\(495\) −0.693162 1.76615i −0.0311553 0.0793824i
\(496\) 15.0687 + 21.6549i 0.676607 + 0.972333i
\(497\) −29.8336 + 17.5281i −1.33822 + 0.786243i
\(498\) 6.55673 + 5.40614i 0.293814 + 0.242255i
\(499\) 2.25663 7.31581i 0.101021 0.327501i −0.890928 0.454145i \(-0.849945\pi\)
0.991948 + 0.126645i \(0.0404209\pi\)
\(500\) 8.17129 + 3.51878i 0.365431 + 0.157365i
\(501\) 3.46987 1.07031i 0.155022 0.0478180i
\(502\) −21.4984 1.96425i −0.959520 0.0876686i
\(503\) −0.554258 + 2.42836i −0.0247131 + 0.108275i −0.985780 0.168040i \(-0.946256\pi\)
0.961067 + 0.276315i \(0.0891134\pi\)
\(504\) −0.309291 + 7.47692i −0.0137769 + 0.333049i
\(505\) 0.599837 + 2.62806i 0.0266924 + 0.116947i
\(506\) −0.548009 4.08717i −0.0243620 0.181697i
\(507\) 8.31185 + 5.66693i 0.369142 + 0.251677i
\(508\) 21.9501 11.7353i 0.973877 0.520669i
\(509\) 17.3945 + 10.0427i 0.771000 + 0.445137i 0.833231 0.552925i \(-0.186488\pi\)
−0.0622315 + 0.998062i \(0.519822\pi\)
\(510\) 4.39073 + 9.51133i 0.194425 + 0.421169i
\(511\) −3.93623 24.8330i −0.174128 1.09855i
\(512\) 12.6946 18.7309i 0.561028 0.827797i
\(513\) −0.302356 + 0.206143i −0.0133494 + 0.00910143i
\(514\) −24.1123 + 21.6517i −1.06355 + 0.955017i
\(515\) −9.32087 10.0455i −0.410727 0.442658i
\(516\) 5.10588 + 8.04054i 0.224774 + 0.353965i
\(517\) 0.750226 1.55786i 0.0329949 0.0685147i
\(518\) −0.694807 4.89903i −0.0305281 0.215251i
\(519\) 5.28693 + 10.9784i 0.232070 + 0.481899i
\(520\) 11.8649 + 7.64765i 0.520311 + 0.335372i
\(521\) −16.4516 + 9.49833i −0.720758 + 0.416130i −0.815031 0.579417i \(-0.803280\pi\)
0.0942739 + 0.995546i \(0.469947\pi\)
\(522\) 3.38104 4.78930i 0.147984 0.209622i
\(523\) −3.62664 + 0.546629i −0.158582 + 0.0239024i −0.227853 0.973695i \(-0.573171\pi\)
0.0692713 + 0.997598i \(0.477933\pi\)
\(524\) −4.13034 21.2732i −0.180435 0.929324i
\(525\) 9.18492 0.0698105i 0.400863 0.00304678i
\(526\) 0.135000 0.549958i 0.00588629 0.0239793i
\(527\) −16.7386 1.25439i −0.729146 0.0546419i
\(528\) −0.604437 2.53640i −0.0263048 0.110383i
\(529\) 1.09232 2.78318i 0.0474921 0.121008i
\(530\) 11.0452 + 3.60534i 0.479771 + 0.156606i
\(531\) −5.42215 + 6.79916i −0.235301 + 0.295058i
\(532\) 0.925924 + 1.70067i 0.0401439 + 0.0737332i
\(533\) 8.08132 + 10.1337i 0.350041 + 0.438937i
\(534\) 8.10928 + 21.6964i 0.350923 + 0.938894i
\(535\) 4.01164 + 53.5316i 0.173438 + 2.31437i
\(536\) −28.8498 5.80438i −1.24612 0.250711i
\(537\) −2.05253 + 2.21210i −0.0885731 + 0.0954591i
\(538\) −1.27101 0.0207375i −0.0547972 0.000894057i
\(539\) 3.52383 2.89888i 0.151782 0.124863i
\(540\) −0.189905 + 5.81813i −0.00817221 + 0.250372i
\(541\) 16.0738 + 14.9143i 0.691067 + 0.641217i 0.945405 0.325899i \(-0.105667\pi\)
−0.254338 + 0.967116i \(0.581857\pi\)
\(542\) 1.50134 8.96572i 0.0644880 0.385111i
\(543\) 15.6578 1.17339i 0.671942 0.0503551i
\(544\) 4.15027 + 13.7856i 0.177941 + 0.591053i
\(545\) 43.2863 34.5197i 1.85418 1.47866i
\(546\) −6.33552 1.01146i −0.271135 0.0432866i
\(547\) −26.3625 21.0234i −1.12718 0.898895i −0.131459 0.991322i \(-0.541966\pi\)
−0.995720 + 0.0924264i \(0.970538\pi\)
\(548\) 42.0032 + 14.4730i 1.79429 + 0.618254i
\(549\) 2.98932 + 1.17322i 0.127581 + 0.0500719i
\(550\) −3.07321 + 0.893321i −0.131042 + 0.0380913i
\(551\) 0.113364 1.51274i 0.00482948 0.0644450i
\(552\) −3.41551 + 12.1826i −0.145374 + 0.518525i
\(553\) −18.0807 36.8263i −0.768870 1.56602i
\(554\) −24.8212 + 5.24079i −1.05455 + 0.222660i
\(555\) −0.573674 3.80608i −0.0243511 0.161559i
\(556\) −1.80212 1.31679i −0.0764268 0.0558442i
\(557\) 14.8417 + 25.7065i 0.628862 + 1.08922i 0.987780 + 0.155852i \(0.0498121\pi\)
−0.358919 + 0.933369i \(0.616855\pi\)
\(558\) −8.00060 4.79485i −0.338692 0.202982i
\(559\) −7.35724 + 3.54306i −0.311178 + 0.149856i
\(560\) 30.5332 + 4.06815i 1.29026 + 0.171911i
\(561\) 1.49469 + 0.719806i 0.0631060 + 0.0303902i
\(562\) −5.09613 7.74310i −0.214967 0.326623i
\(563\) 18.0104 16.7112i 0.759049 0.704295i −0.202392 0.979305i \(-0.564872\pi\)
0.961441 + 0.275010i \(0.0886811\pi\)
\(564\) −4.00460 + 3.47963i −0.168624 + 0.146519i
\(565\) 3.35419 + 4.91970i 0.141112 + 0.206973i
\(566\) −10.9507 + 21.8213i −0.460290 + 0.917217i
\(567\) −0.985292 2.45544i −0.0413784 0.103119i
\(568\) −34.0728 + 14.4000i −1.42966 + 0.604210i
\(569\) 17.3101 29.9819i 0.725676 1.25691i −0.233019 0.972472i \(-0.574860\pi\)
0.958695 0.284436i \(-0.0918063\pi\)
\(570\) 0.731771 + 1.31661i 0.0306505 + 0.0551468i
\(571\) −5.98920 + 8.78454i −0.250640 + 0.367622i −0.930854 0.365393i \(-0.880935\pi\)
0.680213 + 0.733014i \(0.261887\pi\)
\(572\) 2.22017 0.260887i 0.0928301 0.0109082i
\(573\) 6.98093 1.59335i 0.291633 0.0665632i
\(574\) 25.3747 + 12.4933i 1.05912 + 0.521462i
\(575\) 15.1404 + 3.45569i 0.631397 + 0.144112i
\(576\) −1.37463 + 7.88101i −0.0572762 + 0.328376i
\(577\) 13.1685 + 42.6913i 0.548212 + 1.77726i 0.625468 + 0.780249i \(0.284908\pi\)
−0.0772561 + 0.997011i \(0.524616\pi\)
\(578\) 13.7624 + 5.66213i 0.572439 + 0.235514i
\(579\) −3.17769 0.980188i −0.132060 0.0407352i
\(580\) −18.3658 15.6531i −0.762598 0.649962i
\(581\) −5.69570 + 14.8431i −0.236297 + 0.615797i
\(582\) −9.58842 12.4343i −0.397453 0.515420i
\(583\) 1.71277 0.672214i 0.0709359 0.0278403i
\(584\) −0.694931 26.8701i −0.0287565 1.11189i
\(585\) −4.93503 0.743836i −0.204038 0.0307539i
\(586\) 28.0029 + 26.8462i 1.15679 + 1.10901i
\(587\) −36.6298 −1.51188 −0.755938 0.654644i \(-0.772819\pi\)
−0.755938 + 0.654644i \(0.772819\pi\)
\(588\) −13.4479 + 3.89281i −0.554582 + 0.160537i
\(589\) −2.41356 −0.0994491
\(590\) 25.8401 + 24.7727i 1.06382 + 1.01988i
\(591\) −8.96693 1.35155i −0.368850 0.0555952i
\(592\) −0.0504767 5.28945i −0.00207458 0.217395i
\(593\) 9.17723 3.60180i 0.376864 0.147908i −0.169346 0.985557i \(-0.554165\pi\)
0.546210 + 0.837649i \(0.316070\pi\)
\(594\) 0.562938 + 0.730022i 0.0230976 + 0.0299532i
\(595\) −14.2650 + 13.4392i −0.584809 + 0.550954i
\(596\) −13.8442 + 16.2434i −0.567080 + 0.665354i
\(597\) −19.2752 5.94562i −0.788883 0.243338i
\(598\) −10.0315 4.12718i −0.410219 0.168773i
\(599\) −1.45041 4.70212i −0.0592623 0.192124i 0.921101 0.389324i \(-0.127291\pi\)
−0.980363 + 0.197200i \(0.936815\pi\)
\(600\) 9.74430 + 1.21198i 0.397809 + 0.0494788i
\(601\) 29.8944 + 6.82320i 1.21942 + 0.278324i 0.783345 0.621588i \(-0.213512\pi\)
0.436072 + 0.899912i \(0.356369\pi\)
\(602\) −11.2310 + 13.8342i −0.457742 + 0.563840i
\(603\) 10.1435 2.31518i 0.413074 0.0942815i
\(604\) −4.23851 36.0702i −0.172463 1.46767i
\(605\) 17.3390 25.4316i 0.704930 1.03394i
\(606\) −0.636290 1.14482i −0.0258475 0.0465052i
\(607\) 10.7775 18.6671i 0.437444 0.757675i −0.560048 0.828460i \(-0.689217\pi\)
0.997492 + 0.0707851i \(0.0225505\pi\)
\(608\) 0.743221 + 1.93207i 0.0301416 + 0.0783556i
\(609\) 10.5047 + 3.15305i 0.425673 + 0.127768i
\(610\) 5.92880 11.8143i 0.240050 0.478347i
\(611\) −2.56216 3.75800i −0.103654 0.152032i
\(612\) −3.33853 3.84221i −0.134952 0.155312i
\(613\) 27.3919 25.4159i 1.10635 1.02654i 0.106868 0.994273i \(-0.465918\pi\)
0.999479 0.0322669i \(-0.0102727\pi\)
\(614\) −18.3960 27.9510i −0.742401 1.12801i
\(615\) 19.8228 + 9.54613i 0.799331 + 0.384937i
\(616\) 4.14056 2.57897i 0.166828 0.103910i
\(617\) −8.52251 + 4.10423i −0.343103 + 0.165230i −0.597498 0.801871i \(-0.703838\pi\)
0.254394 + 0.967101i \(0.418124\pi\)
\(618\) 5.71124 + 3.42281i 0.229740 + 0.137686i
\(619\) −3.39346 5.87765i −0.136395 0.236243i 0.789735 0.613449i \(-0.210218\pi\)
−0.926129 + 0.377206i \(0.876885\pi\)
\(620\) −22.6513 + 30.9999i −0.909698 + 1.24499i
\(621\) −0.666706 4.42331i −0.0267540 0.177501i
\(622\) 44.7425 9.44700i 1.79401 0.378790i
\(623\) −33.6726 + 27.2742i −1.34906 + 1.09272i
\(624\) −6.57300 1.95901i −0.263131 0.0784232i
\(625\) −2.26476 + 30.2211i −0.0905904 + 1.20884i
\(626\) 37.5100 10.9034i 1.49920 0.435788i
\(627\) 0.222052 + 0.0871492i 0.00886792 + 0.00348040i
\(628\) −15.3866 + 44.6547i −0.613993 + 1.78192i
\(629\) 2.63132 + 2.09841i 0.104918 + 0.0836691i
\(630\) −10.4343 + 3.11923i −0.415711 + 0.124273i
\(631\) −10.9717 + 8.74961i −0.436775 + 0.348317i −0.817060 0.576553i \(-0.804397\pi\)
0.380285 + 0.924870i \(0.375826\pi\)
\(632\) −14.0066 41.5614i −0.557153 1.65322i
\(633\) 14.7297 1.10384i 0.585453 0.0438736i
\(634\) −3.26232 + 19.4820i −0.129563 + 0.773727i
\(635\) 26.5533 + 24.6378i 1.05373 + 0.977722i
\(636\) −5.64230 0.184166i −0.223732 0.00730265i
\(637\) −1.96912 11.8401i −0.0780194 0.469124i
\(638\) −3.82099 0.0623424i −0.151275 0.00246816i
\(639\) 8.89544 9.58701i 0.351898 0.379256i
\(640\) 31.7907 + 8.58648i 1.25664 + 0.339410i
\(641\) −0.439010 5.85818i −0.0173398 0.231384i −0.999140 0.0414666i \(-0.986797\pi\)
0.981800 0.189918i \(-0.0608221\pi\)
\(642\) −9.13180 24.4321i −0.360404 0.964260i
\(643\) −6.79678 8.52289i −0.268039 0.336110i 0.629537 0.776971i \(-0.283245\pi\)
−0.897576 + 0.440861i \(0.854673\pi\)
\(644\) −23.6410 + 1.17762i −0.931586 + 0.0464049i
\(645\) −8.64243 + 10.8373i −0.340295 + 0.426717i
\(646\) −1.25208 0.408702i −0.0492626 0.0160802i
\(647\) 2.47885 6.31600i 0.0974536 0.248308i −0.873830 0.486231i \(-0.838371\pi\)
0.971284 + 0.237923i \(0.0764666\pi\)
\(648\) −0.700467 2.74032i −0.0275169 0.107650i
\(649\) 5.65298 + 0.423632i 0.221899 + 0.0166290i
\(650\) −2.00695 + 8.17583i −0.0787190 + 0.320682i
\(651\) 3.75357 17.0415i 0.147114 0.667908i
\(652\) 11.0546 2.14633i 0.432932 0.0840567i
\(653\) 33.7316 5.08422i 1.32002 0.198961i 0.549027 0.835805i \(-0.314998\pi\)
0.770993 + 0.636844i \(0.219760\pi\)
\(654\) −15.5144 + 21.9764i −0.606662 + 0.859347i
\(655\) 27.3120 15.7686i 1.06717 0.616129i
\(656\) 25.1438 + 16.7936i 0.981702 + 0.655679i
\(657\) 4.12327 + 8.56206i 0.160864 + 0.334038i
\(658\) −8.55175 5.03722i −0.333382 0.196371i
\(659\) 11.4860 23.8508i 0.447430 0.929097i −0.548256 0.836310i \(-0.684708\pi\)
0.995686 0.0927868i \(-0.0295775\pi\)
\(660\) 3.20331 2.03416i 0.124689 0.0791794i
\(661\) 7.37968 + 7.95340i 0.287036 + 0.309352i 0.860066 0.510183i \(-0.170422\pi\)
−0.573029 + 0.819535i \(0.694232\pi\)
\(662\) −18.5625 + 16.6683i −0.721453 + 0.647832i
\(663\) 3.60562 2.45827i 0.140031 0.0954712i
\(664\) −8.11467 + 14.9339i −0.314910 + 0.579546i
\(665\) −1.90100 + 2.08028i −0.0737175 + 0.0806697i
\(666\) 0.783849 + 1.69800i 0.0303735 + 0.0657960i
\(667\) 16.0592 + 9.27177i 0.621814 + 0.359004i
\(668\) 3.42408 + 6.40452i 0.132482 + 0.247798i
\(669\) −3.17489 2.16460i −0.122748 0.0836883i
\(670\) −5.69128 42.4468i −0.219873 1.63986i
\(671\) −0.465805 2.04082i −0.0179822 0.0787852i
\(672\) −14.7976 + 2.24292i −0.570830 + 0.0865227i
\(673\) 1.42970 6.26391i 0.0551108 0.241456i −0.939869 0.341536i \(-0.889053\pi\)
0.994979 + 0.100080i \(0.0319099\pi\)
\(674\) −22.9040 2.09268i −0.882231 0.0806069i
\(675\) −3.31744 + 1.02329i −0.127688 + 0.0393866i
\(676\) −7.95764 + 18.4792i −0.306063 + 0.710737i
\(677\) −9.03948 + 29.3053i −0.347415 + 1.12629i 0.598293 + 0.801277i \(0.295846\pi\)
−0.945709 + 0.325016i \(0.894630\pi\)
\(678\) −2.23219 1.84048i −0.0857267 0.0706831i
\(679\) 16.3629 24.3963i 0.627951 0.936245i
\(680\) −17.0002 + 12.2462i −0.651928 + 0.469619i
\(681\) 4.91569 + 12.5250i 0.188369 + 0.479958i
\(682\) 0.355396 + 6.06972i 0.0136088 + 0.232421i
\(683\) −0.738313 + 4.89839i −0.0282508 + 0.187432i −0.998505 0.0546556i \(-0.982594\pi\)
0.970255 + 0.242087i \(0.0778320\pi\)
\(684\) −0.519985 0.515046i −0.0198821 0.0196933i
\(685\) 64.6545i 2.47032i
\(686\) −14.8943 21.5444i −0.568668 0.822567i
\(687\) 9.15442i 0.349263i
\(688\) −13.8399 + 13.0896i −0.527643 + 0.499035i
\(689\) 0.721358 4.78589i 0.0274815 0.182328i
\(690\) −18.3815 + 1.07628i −0.699773 + 0.0409733i
\(691\) 12.3484 + 31.4631i 0.469754 + 1.19691i 0.947881 + 0.318624i \(0.103221\pi\)
−0.478127 + 0.878291i \(0.658684\pi\)
\(692\) −19.5390 + 14.5649i −0.742760 + 0.553676i
\(693\) −0.960671 + 1.43231i −0.0364929 + 0.0544091i
\(694\) −27.4335 + 33.2722i −1.04136 + 1.26300i
\(695\) 0.957412 3.10385i 0.0363167 0.117736i
\(696\) 10.6918 + 4.81247i 0.405273 + 0.182416i
\(697\) −18.3833 + 5.67050i −0.696318 + 0.214786i
\(698\) −1.01714 + 11.1325i −0.0384995 + 0.421371i
\(699\) −1.27696 + 5.59473i −0.0482991 + 0.211612i
\(700\) 3.63831 + 18.0065i 0.137515 + 0.680581i
\(701\) 2.23126 + 9.77578i 0.0842734 + 0.369226i 0.999426 0.0338820i \(-0.0107870\pi\)
−0.915152 + 0.403108i \(0.867930\pi\)
\(702\) 2.40342 0.322251i 0.0907112 0.0121626i
\(703\) 0.399843 + 0.272608i 0.0150804 + 0.0102816i
\(704\) 4.74939 2.15358i 0.178999 0.0811659i
\(705\) −6.68625 3.86031i −0.251819 0.145388i
\(706\) 45.2794 20.9024i 1.70411 0.786673i
\(707\) 1.65296 1.80884i 0.0621658 0.0680286i
\(708\) −15.4159 8.05369i −0.579366 0.302676i
\(709\) 30.4504 20.7607i 1.14359 0.779685i 0.165159 0.986267i \(-0.447186\pi\)
0.978429 + 0.206582i \(0.0662339\pi\)
\(710\) −35.9670 40.0544i −1.34982 1.50322i
\(711\) 10.5469 + 11.3668i 0.395539 + 0.426290i
\(712\) −39.5061 + 24.1918i −1.48055 + 0.906626i
\(713\) 12.8010 26.5815i 0.479401 0.995486i
\(714\) 4.83297 8.20499i 0.180869 0.307064i
\(715\) 1.41154 + 2.93109i 0.0527886 + 0.109617i
\(716\) −5.12551 3.18656i −0.191549 0.119087i
\(717\) 18.1053 10.4531i 0.676154 0.390378i
\(718\) 8.47070 + 5.97995i 0.316124 + 0.223170i
\(719\) −18.9528 + 2.85667i −0.706820 + 0.106536i −0.492608 0.870251i \(-0.663956\pi\)
−0.214212 + 0.976787i \(0.568718\pi\)
\(720\) −11.4953 + 1.84500i −0.428406 + 0.0687589i
\(721\) −2.67949 + 12.1651i −0.0997893 + 0.453051i
\(722\) 25.9114 + 6.36056i 0.964323 + 0.236716i
\(723\) 22.4965 + 1.68588i 0.836656 + 0.0626987i
\(724\) 8.27246 + 30.2943i 0.307444 + 1.12588i
\(725\) 5.25781 13.3967i 0.195270 0.497541i
\(726\) −4.64074 + 14.2172i −0.172234 + 0.527649i
\(727\) −23.7248 + 29.7499i −0.879903 + 1.10336i 0.114041 + 0.993476i \(0.463621\pi\)
−0.993944 + 0.109888i \(0.964951\pi\)
\(728\) −0.429227 12.8243i −0.0159082 0.475301i
\(729\) 0.623490 + 0.781831i 0.0230922 + 0.0289567i
\(730\) 36.6415 13.6952i 1.35616 0.506882i
\(731\) −0.905749 12.0864i −0.0335003 0.447031i
\(732\) −1.16391 + 6.31627i −0.0430195 + 0.233456i
\(733\) −15.9983 + 17.2421i −0.590912 + 0.636852i −0.955736 0.294225i \(-0.904939\pi\)
0.364824 + 0.931076i \(0.381129\pi\)
\(734\) 0.00256320 0.157100i 9.46095e−5 0.00579866i
\(735\) −11.7318 16.6576i −0.432734 0.614426i
\(736\) −25.2205 2.06185i −0.929640 0.0760008i
\(737\) −4.97165 4.61302i −0.183133 0.169923i
\(738\) −10.5434 1.76552i −0.388107 0.0649898i
\(739\) 11.1961 0.839028i 0.411854 0.0308642i 0.132807 0.991142i \(-0.457601\pi\)
0.279046 + 0.960278i \(0.409982\pi\)
\(740\) 7.25392 2.57717i 0.266660 0.0947387i
\(741\) 0.490580 0.391225i 0.0180219 0.0143720i
\(742\) −3.02497 10.1189i −0.111050 0.371478i
\(743\) −8.94699 7.13498i −0.328233 0.261757i 0.445482 0.895291i \(-0.353032\pi\)
−0.773715 + 0.633534i \(0.781604\pi\)
\(744\) 6.36412 17.5356i 0.233320 0.642888i
\(745\) −28.9130 11.3475i −1.05929 0.415741i
\(746\) −0.632029 2.17431i −0.0231402 0.0796071i
\(747\) 0.449056 5.99223i 0.0164301 0.219244i
\(748\) −0.843452 + 3.20897i −0.0308396 + 0.117332i
\(749\) 37.9185 30.7133i 1.38551 1.12224i
\(750\) −1.29962 6.15523i −0.0474556 0.224757i
\(751\) 5.62391 + 37.3122i 0.205219 + 1.36154i 0.819783 + 0.572674i \(0.194094\pi\)
−0.614564 + 0.788867i \(0.710668\pi\)
\(752\) −8.35821 6.53595i −0.304793 0.238342i
\(753\) 7.63249 + 13.2199i 0.278143 + 0.481758i
\(754\) −5.16751 + 8.62240i −0.188189 + 0.314009i
\(755\) 47.6201 22.9326i 1.73307 0.834604i
\(756\) 4.44527 2.87046i 0.161673 0.104398i
\(757\) 42.0619 + 20.2559i 1.52877 + 0.736215i 0.994061 0.108824i \(-0.0347086\pi\)
0.534705 + 0.845039i \(0.320423\pi\)
\(758\) −25.1021 + 16.5210i −0.911749 + 0.600069i
\(759\) −2.13753 + 1.98333i −0.0775873 + 0.0719905i
\(760\) −2.30600 + 1.93860i −0.0836476 + 0.0703204i
\(761\) −10.8938 15.9782i −0.394899 0.579210i 0.576372 0.817187i \(-0.304468\pi\)
−0.971271 + 0.237978i \(0.923516\pi\)
\(762\) −15.7304 7.89404i −0.569852 0.285971i
\(763\) −48.2025 14.4682i −1.74505 0.523785i
\(764\) 5.78938 + 13.0985i 0.209453 + 0.473888i
\(765\) 3.70378 6.41513i 0.133910 0.231940i
\(766\) 26.2530 14.5914i 0.948560 0.527209i
\(767\) 8.40002 12.3206i 0.303307 0.444870i
\(768\) −15.9971 + 0.305345i −0.577245 + 0.0110182i
\(769\) 28.9993 6.61891i 1.04574 0.238684i 0.335060 0.942197i \(-0.391243\pi\)
0.710683 + 0.703513i \(0.248386\pi\)
\(770\) 5.51148 + 4.47438i 0.198620 + 0.161245i
\(771\) 22.3405 + 5.09908i 0.804575 + 0.183639i
\(772\) 0.713118 6.61252i 0.0256657 0.237990i