Properties

Label 77.2.f.b.15.2
Level 77
Weight 2
Character 77.15
Analytic conductor 0.615
Analytic rank 0
Dimension 16
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 77 = 7 \cdot 11 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 77.f (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.614848095564\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{5})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 5 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 15.2
Root \(0.901622 + 0.655067i\)
Character \(\chi\) = 77.15
Dual form 77.2.f.b.36.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.901622 - 0.655067i) q^{2} +(-0.883423 + 2.71890i) q^{3} +(-0.234224 - 0.720867i) q^{4} +(-2.79603 + 2.03143i) q^{5} +(2.57757 - 1.87272i) q^{6} +(0.309017 + 0.951057i) q^{7} +(-0.949813 + 2.92322i) q^{8} +(-4.18492 - 3.04052i) q^{9} +O(q^{10})\) \(q+(-0.901622 - 0.655067i) q^{2} +(-0.883423 + 2.71890i) q^{3} +(-0.234224 - 0.720867i) q^{4} +(-2.79603 + 2.03143i) q^{5} +(2.57757 - 1.87272i) q^{6} +(0.309017 + 0.951057i) q^{7} +(-0.949813 + 2.92322i) q^{8} +(-4.18492 - 3.04052i) q^{9} +3.85168 q^{10} +(3.31530 - 0.0938970i) q^{11} +2.16688 q^{12} +(1.66629 + 1.21063i) q^{13} +(0.344389 - 1.05992i) q^{14} +(-3.05318 - 9.39672i) q^{15} +(1.54487 - 1.12241i) q^{16} +(-1.56442 + 1.13662i) q^{17} +(1.78147 + 5.48280i) q^{18} +(0.501522 - 1.54353i) q^{19} +(2.11929 + 1.53975i) q^{20} -2.85882 q^{21} +(-3.05065 - 2.08708i) q^{22} -0.807136 q^{23} +(-7.10886 - 5.16489i) q^{24} +(2.14596 - 6.60459i) q^{25} +(-0.709322 - 2.18307i) q^{26} +(5.02542 - 3.65118i) q^{27} +(0.613206 - 0.445520i) q^{28} +(2.46400 + 7.58342i) q^{29} +(-3.40267 + 10.4723i) q^{30} +(-0.637845 - 0.463421i) q^{31} +4.01918 q^{32} +(-2.67351 + 9.09690i) q^{33} +2.15508 q^{34} +(-2.79603 - 2.03143i) q^{35} +(-1.21160 + 3.72893i) q^{36} +(3.10926 + 9.56931i) q^{37} +(-1.46330 + 1.06315i) q^{38} +(-4.76363 + 3.46098i) q^{39} +(-3.28263 - 10.1029i) q^{40} +(-0.657011 + 2.02207i) q^{41} +(2.57757 + 1.87272i) q^{42} +3.08043 q^{43} +(-0.844208 - 2.36789i) q^{44} +17.8777 q^{45} +(0.727732 + 0.528728i) q^{46} +(2.33812 - 7.19600i) q^{47} +(1.68695 + 5.19190i) q^{48} +(-0.809017 + 0.587785i) q^{49} +(-6.26129 + 4.54910i) q^{50} +(-1.70830 - 5.25761i) q^{51} +(0.482420 - 1.48474i) q^{52} +(-8.75554 - 6.36127i) q^{53} -6.92280 q^{54} +(-9.07891 + 6.99733i) q^{55} -3.07366 q^{56} +(3.75363 + 2.72717i) q^{57} +(2.74605 - 8.45147i) q^{58} +(-1.01872 - 3.13529i) q^{59} +(-6.05866 + 4.40187i) q^{60} +(0.871010 - 0.632826i) q^{61} +(0.271523 + 0.835662i) q^{62} +(1.59850 - 4.91966i) q^{63} +(-6.71351 - 4.87765i) q^{64} -7.11832 q^{65} +(8.36958 - 6.45064i) q^{66} +2.40314 q^{67} +(1.18577 + 0.861515i) q^{68} +(0.713042 - 2.19452i) q^{69} +(1.19024 + 3.66317i) q^{70} +(2.57963 - 1.87421i) q^{71} +(12.8630 - 9.34552i) q^{72} +(0.378940 + 1.16626i) q^{73} +(3.46516 - 10.6647i) q^{74} +(16.0614 + 11.6693i) q^{75} -1.23015 q^{76} +(1.11378 + 3.12402i) q^{77} +6.56217 q^{78} +(7.67096 + 5.57328i) q^{79} +(-2.03939 + 6.27659i) q^{80} +(0.692124 + 2.13014i) q^{81} +(1.91697 - 1.39276i) q^{82} +(13.0004 - 9.44536i) q^{83} +(0.669603 + 2.06083i) q^{84} +(2.06520 - 6.35602i) q^{85} +(-2.77738 - 2.01789i) q^{86} -22.7953 q^{87} +(-2.87443 + 9.78053i) q^{88} -4.43830 q^{89} +(-16.1190 - 11.7111i) q^{90} +(-0.636468 + 1.95885i) q^{91} +(0.189050 + 0.581837i) q^{92} +(1.82348 - 1.32484i) q^{93} +(-6.82196 + 4.95645i) q^{94} +(1.73330 + 5.33455i) q^{95} +(-3.55063 + 10.9277i) q^{96} +(-5.23278 - 3.80184i) q^{97} +1.11447 q^{98} +(-14.1597 - 9.68727i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q - 3q^{2} - 2q^{3} - 11q^{4} - 5q^{5} + 3q^{6} - 4q^{7} - 5q^{8} - 12q^{9} + O(q^{10}) \) \( 16q - 3q^{2} - 2q^{3} - 11q^{4} - 5q^{5} + 3q^{6} - 4q^{7} - 5q^{8} - 12q^{9} + 12q^{10} - 3q^{11} + 18q^{12} - 7q^{13} + 2q^{14} - 18q^{15} + 17q^{16} - 5q^{17} + 11q^{18} + 19q^{19} + q^{20} + 8q^{21} - 33q^{22} + 32q^{23} - 35q^{24} + 7q^{25} - 27q^{26} + 10q^{27} + 4q^{28} + 3q^{29} - 2q^{30} - 7q^{31} + 32q^{32} - 26q^{33} - 24q^{34} - 5q^{35} + 52q^{36} + 4q^{37} - 5q^{38} + 11q^{39} - 10q^{40} - 10q^{41} + 3q^{42} - 8q^{43} - 38q^{44} + 70q^{45} - 42q^{46} - 23q^{47} - 36q^{48} - 4q^{49} + 52q^{50} - 29q^{51} + 33q^{52} + 4q^{53} + 60q^{54} - 12q^{55} - 11q^{57} + 20q^{58} + 17q^{59} - 30q^{60} - 7q^{61} + 79q^{62} - 2q^{63} + 7q^{64} - 8q^{65} + 8q^{66} - 38q^{67} - 2q^{68} + 10q^{69} - 18q^{70} - 14q^{71} - 35q^{73} - 29q^{74} + 9q^{75} + 52q^{76} - 3q^{77} - 58q^{78} + 15q^{79} - 87q^{80} - 14q^{81} + 19q^{82} + 5q^{83} + 8q^{84} + 6q^{85} - 52q^{86} - 72q^{87} + 55q^{88} + 74q^{89} - 14q^{90} + 13q^{91} - 55q^{92} + 32q^{93} - 24q^{94} + 32q^{95} - 42q^{96} + 20q^{97} + 2q^{98} + 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/77\mathbb{Z}\right)^\times\).

\(n\) \(45\) \(57\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.901622 0.655067i −0.637543 0.463202i 0.221462 0.975169i \(-0.428917\pi\)
−0.859005 + 0.511967i \(0.828917\pi\)
\(3\) −0.883423 + 2.71890i −0.510045 + 1.56976i 0.282076 + 0.959392i \(0.408977\pi\)
−0.792121 + 0.610364i \(0.791023\pi\)
\(4\) −0.234224 0.720867i −0.117112 0.360433i
\(5\) −2.79603 + 2.03143i −1.25042 + 0.908484i −0.998246 0.0591979i \(-0.981146\pi\)
−0.252174 + 0.967682i \(0.581146\pi\)
\(6\) 2.57757 1.87272i 1.05229 0.764534i
\(7\) 0.309017 + 0.951057i 0.116797 + 0.359466i
\(8\) −0.949813 + 2.92322i −0.335810 + 1.03352i
\(9\) −4.18492 3.04052i −1.39497 1.01351i
\(10\) 3.85168 1.21801
\(11\) 3.31530 0.0938970i 0.999599 0.0283110i
\(12\) 2.16688 0.625525
\(13\) 1.66629 + 1.21063i 0.462147 + 0.335769i 0.794373 0.607430i \(-0.207800\pi\)
−0.332226 + 0.943200i \(0.607800\pi\)
\(14\) 0.344389 1.05992i 0.0920419 0.283276i
\(15\) −3.05318 9.39672i −0.788328 2.42622i
\(16\) 1.54487 1.12241i 0.386217 0.280603i
\(17\) −1.56442 + 1.13662i −0.379427 + 0.275670i −0.761109 0.648624i \(-0.775345\pi\)
0.381682 + 0.924294i \(0.375345\pi\)
\(18\) 1.78147 + 5.48280i 0.419897 + 1.29231i
\(19\) 0.501522 1.54353i 0.115057 0.354109i −0.876902 0.480669i \(-0.840394\pi\)
0.991959 + 0.126560i \(0.0403937\pi\)
\(20\) 2.11929 + 1.53975i 0.473887 + 0.344299i
\(21\) −2.85882 −0.623845
\(22\) −3.05065 2.08708i −0.650401 0.444967i
\(23\) −0.807136 −0.168299 −0.0841497 0.996453i \(-0.526817\pi\)
−0.0841497 + 0.996453i \(0.526817\pi\)
\(24\) −7.10886 5.16489i −1.45109 1.05428i
\(25\) 2.14596 6.60459i 0.429192 1.32092i
\(26\) −0.709322 2.18307i −0.139109 0.428135i
\(27\) 5.02542 3.65118i 0.967142 0.702670i
\(28\) 0.613206 0.445520i 0.115885 0.0841954i
\(29\) 2.46400 + 7.58342i 0.457554 + 1.40821i 0.868111 + 0.496371i \(0.165334\pi\)
−0.410557 + 0.911835i \(0.634666\pi\)
\(30\) −3.40267 + 10.4723i −0.621239 + 1.91198i
\(31\) −0.637845 0.463421i −0.114560 0.0832330i 0.529030 0.848603i \(-0.322556\pi\)
−0.643590 + 0.765370i \(0.722556\pi\)
\(32\) 4.01918 0.710497
\(33\) −2.67351 + 9.09690i −0.465399 + 1.58357i
\(34\) 2.15508 0.369592
\(35\) −2.79603 2.03143i −0.472615 0.343375i
\(36\) −1.21160 + 3.72893i −0.201934 + 0.621488i
\(37\) 3.10926 + 9.56931i 0.511159 + 1.57318i 0.790164 + 0.612895i \(0.209995\pi\)
−0.279005 + 0.960290i \(0.590005\pi\)
\(38\) −1.46330 + 1.06315i −0.237378 + 0.172465i
\(39\) −4.76363 + 3.46098i −0.762792 + 0.554200i
\(40\) −3.28263 10.1029i −0.519029 1.59741i
\(41\) −0.657011 + 2.02207i −0.102608 + 0.315795i −0.989162 0.146831i \(-0.953093\pi\)
0.886554 + 0.462626i \(0.153093\pi\)
\(42\) 2.57757 + 1.87272i 0.397728 + 0.288967i
\(43\) 3.08043 0.469761 0.234880 0.972024i \(-0.424530\pi\)
0.234880 + 0.972024i \(0.424530\pi\)
\(44\) −0.844208 2.36789i −0.127269 0.356973i
\(45\) 17.8777 2.66506
\(46\) 0.727732 + 0.528728i 0.107298 + 0.0779567i
\(47\) 2.33812 7.19600i 0.341050 1.04964i −0.622615 0.782529i \(-0.713930\pi\)
0.963665 0.267115i \(-0.0860705\pi\)
\(48\) 1.68695 + 5.19190i 0.243490 + 0.749387i
\(49\) −0.809017 + 0.587785i −0.115574 + 0.0839693i
\(50\) −6.26129 + 4.54910i −0.885481 + 0.643339i
\(51\) −1.70830 5.25761i −0.239210 0.736213i
\(52\) 0.482420 1.48474i 0.0668996 0.205896i
\(53\) −8.75554 6.36127i −1.20267 0.873788i −0.208122 0.978103i \(-0.566735\pi\)
−0.994544 + 0.104315i \(0.966735\pi\)
\(54\) −6.92280 −0.942073
\(55\) −9.07891 + 6.99733i −1.22420 + 0.943520i
\(56\) −3.07366 −0.410735
\(57\) 3.75363 + 2.72717i 0.497181 + 0.361223i
\(58\) 2.74605 8.45147i 0.360574 1.10973i
\(59\) −1.01872 3.13529i −0.132626 0.408180i 0.862587 0.505908i \(-0.168842\pi\)
−0.995213 + 0.0977281i \(0.968842\pi\)
\(60\) −6.05866 + 4.40187i −0.782169 + 0.568279i
\(61\) 0.871010 0.632826i 0.111521 0.0810250i −0.530627 0.847606i \(-0.678043\pi\)
0.642148 + 0.766581i \(0.278043\pi\)
\(62\) 0.271523 + 0.835662i 0.0344835 + 0.106129i
\(63\) 1.59850 4.91966i 0.201392 0.619819i
\(64\) −6.71351 4.87765i −0.839189 0.609707i
\(65\) −7.11832 −0.882919
\(66\) 8.36958 6.45064i 1.03022 0.794019i
\(67\) 2.40314 0.293590 0.146795 0.989167i \(-0.453104\pi\)
0.146795 + 0.989167i \(0.453104\pi\)
\(68\) 1.18577 + 0.861515i 0.143796 + 0.104474i
\(69\) 0.713042 2.19452i 0.0858402 0.264189i
\(70\) 1.19024 + 3.66317i 0.142260 + 0.437832i
\(71\) 2.57963 1.87421i 0.306145 0.222428i −0.424095 0.905618i \(-0.639408\pi\)
0.730241 + 0.683190i \(0.239408\pi\)
\(72\) 12.8630 9.34552i 1.51592 1.10138i
\(73\) 0.378940 + 1.16626i 0.0443516 + 0.136500i 0.970780 0.239970i \(-0.0771377\pi\)
−0.926429 + 0.376470i \(0.877138\pi\)
\(74\) 3.46516 10.6647i 0.402817 1.23974i
\(75\) 16.0614 + 11.6693i 1.85461 + 1.34745i
\(76\) −1.23015 −0.141107
\(77\) 1.11378 + 3.12402i 0.126927 + 0.356015i
\(78\) 6.56217 0.743020
\(79\) 7.67096 + 5.57328i 0.863050 + 0.627043i 0.928713 0.370799i \(-0.120916\pi\)
−0.0656630 + 0.997842i \(0.520916\pi\)
\(80\) −2.03939 + 6.27659i −0.228010 + 0.701744i
\(81\) 0.692124 + 2.13014i 0.0769027 + 0.236682i
\(82\) 1.91697 1.39276i 0.211694 0.153805i
\(83\) 13.0004 9.44536i 1.42698 1.03676i 0.436412 0.899747i \(-0.356249\pi\)
0.990569 0.137016i \(-0.0437511\pi\)
\(84\) 0.669603 + 2.06083i 0.0730597 + 0.224855i
\(85\) 2.06520 6.35602i 0.224002 0.689407i
\(86\) −2.77738 2.01789i −0.299493 0.217594i
\(87\) −22.7953 −2.44391
\(88\) −2.87443 + 9.78053i −0.306415 + 1.04261i
\(89\) −4.43830 −0.470459 −0.235230 0.971940i \(-0.575584\pi\)
−0.235230 + 0.971940i \(0.575584\pi\)
\(90\) −16.1190 11.7111i −1.69909 1.23446i
\(91\) −0.636468 + 1.95885i −0.0667199 + 0.205343i
\(92\) 0.189050 + 0.581837i 0.0197099 + 0.0606607i
\(93\) 1.82348 1.32484i 0.189086 0.137379i
\(94\) −6.82196 + 4.95645i −0.703632 + 0.511218i
\(95\) 1.73330 + 5.33455i 0.177833 + 0.547313i
\(96\) −3.55063 + 10.9277i −0.362385 + 1.11531i
\(97\) −5.23278 3.80184i −0.531308 0.386018i 0.289539 0.957166i \(-0.406498\pi\)
−0.820847 + 0.571148i \(0.806498\pi\)
\(98\) 1.11447 0.112578
\(99\) −14.1597 9.68727i −1.42311 0.973607i
\(100\) −5.26366 −0.526366
\(101\) 12.4952 + 9.07828i 1.24332 + 0.903323i 0.997815 0.0660728i \(-0.0210470\pi\)
0.245503 + 0.969396i \(0.421047\pi\)
\(102\) −1.90384 + 5.85943i −0.188509 + 0.580170i
\(103\) 2.75276 + 8.47213i 0.271238 + 0.834784i 0.990190 + 0.139725i \(0.0446218\pi\)
−0.718953 + 0.695059i \(0.755378\pi\)
\(104\) −5.12162 + 3.72107i −0.502216 + 0.364881i
\(105\) 7.99333 5.80749i 0.780069 0.566753i
\(106\) 3.72713 + 11.4709i 0.362011 + 1.11416i
\(107\) 1.08533 3.34029i 0.104922 0.322918i −0.884790 0.465990i \(-0.845698\pi\)
0.989712 + 0.143072i \(0.0456981\pi\)
\(108\) −3.80909 2.76746i −0.366530 0.266299i
\(109\) 3.87655 0.371306 0.185653 0.982615i \(-0.440560\pi\)
0.185653 + 0.982615i \(0.440560\pi\)
\(110\) 12.7695 0.361662i 1.21752 0.0344831i
\(111\) −28.7648 −2.73023
\(112\) 1.54487 + 1.12241i 0.145976 + 0.106058i
\(113\) 3.29224 10.1325i 0.309708 0.953183i −0.668170 0.744008i \(-0.732922\pi\)
0.977878 0.209175i \(-0.0670777\pi\)
\(114\) −1.59788 4.91776i −0.149655 0.460591i
\(115\) 2.25677 1.63964i 0.210445 0.152897i
\(116\) 4.88951 3.55243i 0.453979 0.329835i
\(117\) −3.29235 10.1328i −0.304378 0.936778i
\(118\) −1.13533 + 3.49417i −0.104515 + 0.321665i
\(119\) −1.56442 1.13662i −0.143410 0.104194i
\(120\) 30.3687 2.77227
\(121\) 10.9824 0.622593i 0.998397 0.0565993i
\(122\) −1.19987 −0.108631
\(123\) −4.91739 3.57269i −0.443386 0.322139i
\(124\) −0.184667 + 0.568346i −0.0165836 + 0.0510389i
\(125\) 2.07667 + 6.39134i 0.185743 + 0.571659i
\(126\) −4.66395 + 3.38856i −0.415498 + 0.301877i
\(127\) −15.7361 + 11.4330i −1.39635 + 1.01451i −0.401220 + 0.915982i \(0.631414\pi\)
−0.995134 + 0.0985289i \(0.968586\pi\)
\(128\) 0.373878 + 1.15068i 0.0330464 + 0.101706i
\(129\) −2.72132 + 8.37537i −0.239599 + 0.737410i
\(130\) 6.41804 + 4.66298i 0.562899 + 0.408970i
\(131\) 5.11284 0.446711 0.223355 0.974737i \(-0.428299\pi\)
0.223355 + 0.974737i \(0.428299\pi\)
\(132\) 7.18385 0.203464i 0.625274 0.0177092i
\(133\) 1.62296 0.140728
\(134\) −2.16672 1.57422i −0.187176 0.135992i
\(135\) −6.63407 + 20.4176i −0.570970 + 1.75727i
\(136\) −1.83668 5.65272i −0.157494 0.484717i
\(137\) −7.36247 + 5.34915i −0.629019 + 0.457009i −0.856060 0.516876i \(-0.827095\pi\)
0.227042 + 0.973885i \(0.427095\pi\)
\(138\) −2.08045 + 1.51154i −0.177100 + 0.128671i
\(139\) −4.02234 12.3795i −0.341171 1.05002i −0.963602 0.267341i \(-0.913855\pi\)
0.622431 0.782675i \(-0.286145\pi\)
\(140\) −0.809496 + 2.49137i −0.0684149 + 0.210559i
\(141\) 17.4996 + 12.7142i 1.47373 + 1.07073i
\(142\) −3.55358 −0.298210
\(143\) 5.63793 + 3.85715i 0.471468 + 0.322551i
\(144\) −9.87786 −0.823155
\(145\) −22.2946 16.1980i −1.85147 1.34517i
\(146\) 0.422316 1.29975i 0.0349511 0.107568i
\(147\) −0.883423 2.71890i −0.0728635 0.224251i
\(148\) 6.16994 4.48272i 0.507166 0.368477i
\(149\) 2.54557 1.84947i 0.208541 0.151514i −0.478612 0.878026i \(-0.658860\pi\)
0.687153 + 0.726512i \(0.258860\pi\)
\(150\) −6.83715 21.0426i −0.558251 1.71812i
\(151\) 0.885940 2.72664i 0.0720968 0.221891i −0.908515 0.417853i \(-0.862783\pi\)
0.980612 + 0.195962i \(0.0627828\pi\)
\(152\) 4.03572 + 2.93212i 0.327340 + 0.237827i
\(153\) 10.0029 0.808684
\(154\) 1.04223 3.54629i 0.0839851 0.285768i
\(155\) 2.72484 0.218864
\(156\) 3.61066 + 2.62330i 0.289084 + 0.210032i
\(157\) −6.64062 + 20.4377i −0.529979 + 1.63111i 0.224275 + 0.974526i \(0.427999\pi\)
−0.754254 + 0.656582i \(0.772001\pi\)
\(158\) −3.26544 10.0500i −0.259784 0.799534i
\(159\) 25.0305 18.1857i 1.98505 1.44222i
\(160\) −11.2377 + 8.16468i −0.888420 + 0.645475i
\(161\) −0.249419 0.767632i −0.0196569 0.0604978i
\(162\) 0.771349 2.37397i 0.0606029 0.186517i
\(163\) 6.65210 + 4.83304i 0.521033 + 0.378553i 0.816993 0.576648i \(-0.195639\pi\)
−0.295960 + 0.955200i \(0.595639\pi\)
\(164\) 1.61153 0.125840
\(165\) −11.0045 30.8662i −0.856701 2.40293i
\(166\) −17.9088 −1.38999
\(167\) 17.5626 + 12.7600i 1.35904 + 0.987397i 0.998506 + 0.0546489i \(0.0174040\pi\)
0.360529 + 0.932748i \(0.382596\pi\)
\(168\) 2.71534 8.35696i 0.209493 0.644754i
\(169\) −2.70632 8.32919i −0.208178 0.640707i
\(170\) −6.02565 + 4.37789i −0.462146 + 0.335769i
\(171\) −6.79195 + 4.93464i −0.519393 + 0.377361i
\(172\) −0.721509 2.22058i −0.0550146 0.169317i
\(173\) −2.48624 + 7.65185i −0.189025 + 0.581760i −0.999994 0.00332915i \(-0.998940\pi\)
0.810969 + 0.585089i \(0.198940\pi\)
\(174\) 20.5527 + 14.9324i 1.55810 + 1.13203i
\(175\) 6.94447 0.524953
\(176\) 5.01630 3.86619i 0.378118 0.291425i
\(177\) 9.42449 0.708388
\(178\) 4.00167 + 2.90739i 0.299938 + 0.217918i
\(179\) −1.11892 + 3.44369i −0.0836322 + 0.257393i −0.984125 0.177478i \(-0.943206\pi\)
0.900493 + 0.434871i \(0.143206\pi\)
\(180\) −4.18739 12.8875i −0.312110 0.960575i
\(181\) −12.7970 + 9.29753i −0.951190 + 0.691080i −0.951088 0.308920i \(-0.900033\pi\)
−0.000102207 1.00000i \(0.500033\pi\)
\(182\) 1.85703 1.34921i 0.137652 0.100010i
\(183\) 0.951118 + 2.92724i 0.0703087 + 0.216388i
\(184\) 0.766628 2.35944i 0.0565165 0.173940i
\(185\) −28.1330 20.4398i −2.06838 1.50276i
\(186\) −2.51195 −0.184185
\(187\) −5.07979 + 3.91512i −0.371471 + 0.286302i
\(188\) −5.73500 −0.418268
\(189\) 5.02542 + 3.65118i 0.365545 + 0.265584i
\(190\) 1.93170 5.94518i 0.140141 0.431308i
\(191\) 0.132593 + 0.408080i 0.00959411 + 0.0295276i 0.955739 0.294216i \(-0.0950585\pi\)
−0.946145 + 0.323744i \(0.895058\pi\)
\(192\) 19.1927 13.9443i 1.38511 1.00634i
\(193\) 12.2767 8.91954i 0.883696 0.642042i −0.0505310 0.998722i \(-0.516091\pi\)
0.934227 + 0.356680i \(0.116091\pi\)
\(194\) 2.22753 + 6.85564i 0.159927 + 0.492206i
\(195\) 6.28849 19.3540i 0.450328 1.38597i
\(196\) 0.613206 + 0.445520i 0.0438004 + 0.0318229i
\(197\) −20.8082 −1.48252 −0.741262 0.671216i \(-0.765772\pi\)
−0.741262 + 0.671216i \(0.765772\pi\)
\(198\) 6.42092 + 18.0098i 0.456315 + 1.27990i
\(199\) 8.44567 0.598698 0.299349 0.954144i \(-0.403231\pi\)
0.299349 + 0.954144i \(0.403231\pi\)
\(200\) 17.2684 + 12.5462i 1.22106 + 0.887153i
\(201\) −2.12299 + 6.53389i −0.149744 + 0.460865i
\(202\) −5.31906 16.3704i −0.374247 1.15182i
\(203\) −6.45084 + 4.68681i −0.452760 + 0.328950i
\(204\) −3.38991 + 2.46292i −0.237341 + 0.172439i
\(205\) −2.27068 6.98844i −0.158591 0.488094i
\(206\) 3.06786 9.44190i 0.213748 0.657849i
\(207\) 3.37779 + 2.45411i 0.234773 + 0.170573i
\(208\) 3.93303 0.272707
\(209\) 1.51776 5.16434i 0.104986 0.357225i
\(210\) −11.0113 −0.759849
\(211\) 7.97632 + 5.79513i 0.549112 + 0.398953i 0.827458 0.561528i \(-0.189786\pi\)
−0.278346 + 0.960481i \(0.589786\pi\)
\(212\) −2.53487 + 7.80154i −0.174096 + 0.535812i
\(213\) 2.81688 + 8.66946i 0.193009 + 0.594022i
\(214\) −3.16667 + 2.30072i −0.216469 + 0.157274i
\(215\) −8.61295 + 6.25768i −0.587399 + 0.426770i
\(216\) 5.90001 + 18.1584i 0.401445 + 1.23552i
\(217\) 0.243635 0.749832i 0.0165390 0.0509019i
\(218\) −3.49518 2.53940i −0.236724 0.171990i
\(219\) −3.50570 −0.236893
\(220\) 7.17064 + 4.90574i 0.483445 + 0.330745i
\(221\) −3.98281 −0.267913
\(222\) 25.9350 + 18.8429i 1.74064 + 1.26465i
\(223\) 5.37562 16.5445i 0.359978 1.10790i −0.593088 0.805138i \(-0.702091\pi\)
0.953066 0.302762i \(-0.0979087\pi\)
\(224\) 1.24199 + 3.82246i 0.0829842 + 0.255399i
\(225\) −29.0620 + 21.1148i −1.93747 + 1.40765i
\(226\) −9.60581 + 6.97903i −0.638969 + 0.464238i
\(227\) −3.90334 12.0133i −0.259074 0.797348i −0.993000 0.118118i \(-0.962314\pi\)
0.733926 0.679230i \(-0.237686\pi\)
\(228\) 1.08674 3.34464i 0.0719711 0.221504i
\(229\) −3.69997 2.68819i −0.244501 0.177640i 0.458785 0.888547i \(-0.348285\pi\)
−0.703286 + 0.710907i \(0.748285\pi\)
\(230\) −3.10883 −0.204990
\(231\) −9.47783 + 0.268434i −0.623595 + 0.0176617i
\(232\) −24.5084 −1.60905
\(233\) −19.3006 14.0227i −1.26443 0.918659i −0.265460 0.964122i \(-0.585524\pi\)
−0.998966 + 0.0454624i \(0.985524\pi\)
\(234\) −3.66921 + 11.2927i −0.239864 + 0.738225i
\(235\) 8.08073 + 24.8699i 0.527129 + 1.62234i
\(236\) −2.02152 + 1.46872i −0.131590 + 0.0956054i
\(237\) −21.9299 + 15.9330i −1.42450 + 1.03496i
\(238\) 0.665955 + 2.04960i 0.0431675 + 0.132856i
\(239\) 2.73114 8.40558i 0.176663 0.543711i −0.823043 0.567979i \(-0.807725\pi\)
0.999705 + 0.0242677i \(0.00772541\pi\)
\(240\) −15.2638 11.0898i −0.985271 0.715841i
\(241\) 18.9464 1.22045 0.610224 0.792229i \(-0.291079\pi\)
0.610224 + 0.792229i \(0.291079\pi\)
\(242\) −10.3098 6.63284i −0.662738 0.426375i
\(243\) 12.2322 0.784696
\(244\) −0.660194 0.479659i −0.0422646 0.0307070i
\(245\) 1.06799 3.28693i 0.0682312 0.209994i
\(246\) 2.09328 + 6.44244i 0.133462 + 0.410755i
\(247\) 2.70433 1.96481i 0.172072 0.125018i
\(248\) 1.96052 1.42440i 0.124493 0.0904495i
\(249\) 14.1961 + 43.6911i 0.899640 + 2.76881i
\(250\) 2.31438 7.12294i 0.146374 0.450494i
\(251\) 2.31938 + 1.68513i 0.146398 + 0.106364i 0.658573 0.752516i \(-0.271160\pi\)
−0.512175 + 0.858881i \(0.671160\pi\)
\(252\) −3.92083 −0.246989
\(253\) −2.67589 + 0.0757876i −0.168232 + 0.00476473i
\(254\) 21.6774 1.36016
\(255\) 15.4569 + 11.2301i 0.967950 + 0.703257i
\(256\) −4.71199 + 14.5020i −0.294500 + 0.906377i
\(257\) 6.92689 + 21.3188i 0.432087 + 1.32983i 0.896042 + 0.443969i \(0.146430\pi\)
−0.463955 + 0.885859i \(0.653570\pi\)
\(258\) 7.94003 5.76877i 0.494325 0.359148i
\(259\) −8.14014 + 5.91416i −0.505804 + 0.367488i
\(260\) 1.66728 + 5.13136i 0.103400 + 0.318234i
\(261\) 12.7459 39.2278i 0.788951 2.42814i
\(262\) −4.60985 3.34925i −0.284797 0.206917i
\(263\) 0.990706 0.0610895 0.0305448 0.999533i \(-0.490276\pi\)
0.0305448 + 0.999533i \(0.490276\pi\)
\(264\) −24.0529 16.4556i −1.48036 1.01277i
\(265\) 37.4032 2.29766
\(266\) −1.46330 1.06315i −0.0897205 0.0651858i
\(267\) 3.92090 12.0673i 0.239955 0.738506i
\(268\) −0.562873 1.73234i −0.0343829 0.105820i
\(269\) 5.81713 4.22639i 0.354677 0.257688i −0.396152 0.918185i \(-0.629655\pi\)
0.750828 + 0.660497i \(0.229655\pi\)
\(270\) 19.3563 14.0632i 1.17799 0.855858i
\(271\) −8.39423 25.8348i −0.509913 1.56935i −0.792351 0.610065i \(-0.791143\pi\)
0.282438 0.959285i \(-0.408857\pi\)
\(272\) −1.14107 + 3.51185i −0.0691874 + 0.212937i
\(273\) −4.76363 3.46098i −0.288308 0.209468i
\(274\) 10.1422 0.612714
\(275\) 6.49434 22.0977i 0.391624 1.33254i
\(276\) −1.74897 −0.105275
\(277\) −16.9777 12.3350i −1.02009 0.741140i −0.0537900 0.998552i \(-0.517130\pi\)
−0.966302 + 0.257412i \(0.917130\pi\)
\(278\) −4.48277 + 13.7965i −0.268859 + 0.827462i
\(279\) 1.26029 + 3.87876i 0.0754513 + 0.232215i
\(280\) 8.59403 6.24393i 0.513592 0.373146i
\(281\) 22.7803 16.5509i 1.35896 0.987341i 0.360448 0.932779i \(-0.382624\pi\)
0.998510 0.0545621i \(-0.0173763\pi\)
\(282\) −7.44939 22.9269i −0.443605 1.36527i
\(283\) −8.09369 + 24.9098i −0.481120 + 1.48074i 0.356403 + 0.934332i \(0.384003\pi\)
−0.837523 + 0.546403i \(0.815997\pi\)
\(284\) −1.95527 1.42058i −0.116024 0.0842961i
\(285\) −16.0353 −0.949851
\(286\) −2.55660 7.17091i −0.151175 0.424025i
\(287\) −2.12613 −0.125502
\(288\) −16.8199 12.2204i −0.991123 0.720093i
\(289\) −4.09778 + 12.6117i −0.241046 + 0.741863i
\(290\) 9.49056 + 29.2089i 0.557305 + 1.71521i
\(291\) 14.9596 10.8688i 0.876945 0.637138i
\(292\) 0.751959 0.546331i 0.0440051 0.0319716i
\(293\) −1.37941 4.24538i −0.0805858 0.248017i 0.902644 0.430388i \(-0.141623\pi\)
−0.983230 + 0.182370i \(0.941623\pi\)
\(294\) −0.984546 + 3.03012i −0.0574199 + 0.176720i
\(295\) 9.21748 + 6.69689i 0.536663 + 0.389908i
\(296\) −30.9264 −1.79756
\(297\) 16.3179 12.5766i 0.946861 0.729769i
\(298\) −3.50667 −0.203136
\(299\) −1.34493 0.977145i −0.0777790 0.0565098i
\(300\) 4.65004 14.3114i 0.268470 0.826267i
\(301\) 0.951904 + 2.92966i 0.0548669 + 0.168863i
\(302\) −2.58492 + 1.87805i −0.148745 + 0.108070i
\(303\) −35.7215 + 25.9532i −2.05214 + 1.49097i
\(304\) −0.957688 2.94746i −0.0549271 0.169048i
\(305\) −1.14982 + 3.53879i −0.0658387 + 0.202631i
\(306\) −9.01881 6.55255i −0.515571 0.374584i
\(307\) 12.8841 0.735334 0.367667 0.929957i \(-0.380157\pi\)
0.367667 + 0.929957i \(0.380157\pi\)
\(308\) 1.99113 1.53461i 0.113455 0.0874425i
\(309\) −25.4667 −1.44875
\(310\) −2.45678 1.78495i −0.139536 0.101379i
\(311\) 8.28779 25.5072i 0.469957 1.44638i −0.382682 0.923880i \(-0.624999\pi\)
0.852639 0.522500i \(-0.175001\pi\)
\(312\) −5.59266 17.2124i −0.316622 0.974463i
\(313\) −2.90331 + 2.10938i −0.164105 + 0.119229i −0.666807 0.745231i \(-0.732339\pi\)
0.502702 + 0.864460i \(0.332339\pi\)
\(314\) 19.3754 14.0771i 1.09342 0.794415i
\(315\) 5.52453 + 17.0027i 0.311272 + 0.957996i
\(316\) 2.22087 6.83513i 0.124934 0.384506i
\(317\) 13.6870 + 9.94418i 0.768738 + 0.558521i 0.901578 0.432617i \(-0.142410\pi\)
−0.132840 + 0.991138i \(0.542410\pi\)
\(318\) −34.4809 −1.93359
\(319\) 8.88095 + 24.9099i 0.497238 + 1.39469i
\(320\) 28.6798 1.60325
\(321\) 8.12311 + 5.90178i 0.453388 + 0.329405i
\(322\) −0.277969 + 0.855500i −0.0154906 + 0.0476751i
\(323\) 0.969808 + 2.98476i 0.0539616 + 0.166077i
\(324\) 1.37343 0.997859i 0.0763019 0.0554366i
\(325\) 11.5715 8.40721i 0.641873 0.466348i
\(326\) −2.83172 8.71515i −0.156835 0.482687i
\(327\) −3.42463 + 10.5399i −0.189383 + 0.582860i
\(328\) −5.28693 3.84118i −0.291922 0.212094i
\(329\) 7.56632 0.417145
\(330\) −10.2975 + 35.0384i −0.566860 + 1.92880i
\(331\) −1.23826 −0.0680610 −0.0340305 0.999421i \(-0.510834\pi\)
−0.0340305 + 0.999421i \(0.510834\pi\)
\(332\) −9.85385 7.15924i −0.540800 0.392914i
\(333\) 16.0837 49.5005i 0.881381 2.71261i
\(334\) −7.47620 23.0094i −0.409079 1.25902i
\(335\) −6.71924 + 4.88181i −0.367111 + 0.266722i
\(336\) −4.41650 + 3.20877i −0.240940 + 0.175053i
\(337\) −6.32885 19.4782i −0.344754 1.06104i −0.961715 0.274051i \(-0.911636\pi\)
0.616961 0.786994i \(-0.288364\pi\)
\(338\) −3.01610 + 9.28261i −0.164054 + 0.504907i
\(339\) 24.6407 + 17.9025i 1.33830 + 0.972332i
\(340\) −5.06556 −0.274719
\(341\) −2.15816 1.47649i −0.116871 0.0799563i
\(342\) 9.35630 0.505931
\(343\) −0.809017 0.587785i −0.0436828 0.0317374i
\(344\) −2.92583 + 9.00478i −0.157750 + 0.485505i
\(345\) 2.46433 + 7.58443i 0.132675 + 0.408332i
\(346\) 7.25412 5.27043i 0.389984 0.283340i
\(347\) −22.0618 + 16.0288i −1.18434 + 0.860472i −0.992654 0.120985i \(-0.961395\pi\)
−0.191684 + 0.981457i \(0.561395\pi\)
\(348\) 5.33920 + 16.4324i 0.286211 + 0.880868i
\(349\) 2.46730 7.59356i 0.132071 0.406474i −0.863052 0.505116i \(-0.831450\pi\)
0.995123 + 0.0986418i \(0.0314498\pi\)
\(350\) −6.26129 4.54910i −0.334680 0.243159i
\(351\) 12.7941 0.682897
\(352\) 13.3248 0.377388i 0.710212 0.0201149i
\(353\) 5.93472 0.315873 0.157937 0.987449i \(-0.449516\pi\)
0.157937 + 0.987449i \(0.449516\pi\)
\(354\) −8.49733 6.17367i −0.451628 0.328127i
\(355\) −3.40538 + 10.4807i −0.180739 + 0.556256i
\(356\) 1.03956 + 3.19942i 0.0550964 + 0.169569i
\(357\) 4.47239 3.24938i 0.236704 0.171976i
\(358\) 3.26469 2.37194i 0.172544 0.125361i
\(359\) 8.78235 + 27.0293i 0.463515 + 1.42655i 0.860841 + 0.508874i \(0.169938\pi\)
−0.397326 + 0.917677i \(0.630062\pi\)
\(360\) −16.9805 + 52.2606i −0.894951 + 2.75438i
\(361\) 13.2404 + 9.61969i 0.696862 + 0.506300i
\(362\) 17.6285 0.926535
\(363\) −8.00931 + 30.4099i −0.420380 + 1.59611i
\(364\) 1.56114 0.0818261
\(365\) −3.42870 2.49109i −0.179466 0.130390i
\(366\) 1.05999 3.26231i 0.0554065 0.170524i
\(367\) −9.39456 28.9135i −0.490392 1.50927i −0.824017 0.566565i \(-0.808272\pi\)
0.333625 0.942706i \(-0.391728\pi\)
\(368\) −1.24692 + 0.905939i −0.0650001 + 0.0472253i
\(369\) 8.89769 6.46455i 0.463195 0.336531i
\(370\) 11.9759 + 36.8580i 0.622596 + 1.91615i
\(371\) 3.34432 10.2928i 0.173628 0.534373i
\(372\) −1.38213 1.00418i −0.0716603 0.0520643i
\(373\) 14.4226 0.746772 0.373386 0.927676i \(-0.378197\pi\)
0.373386 + 0.927676i \(0.378197\pi\)
\(374\) 7.14471 0.202355i 0.369444 0.0104635i
\(375\) −19.2120 −0.992103
\(376\) 18.8147 + 13.6697i 0.970296 + 0.704961i
\(377\) −5.07499 + 15.6192i −0.261375 + 0.804430i
\(378\) −2.13926 6.58397i −0.110032 0.338643i
\(379\) 18.1278 13.1706i 0.931163 0.676529i −0.0151144 0.999886i \(-0.504811\pi\)
0.946277 + 0.323356i \(0.104811\pi\)
\(380\) 3.43952 2.49896i 0.176444 0.128194i
\(381\) −17.1834 52.8850i −0.880331 2.70938i
\(382\) 0.147771 0.454792i 0.00756061 0.0232692i
\(383\) −27.2465 19.7957i −1.39223 1.01152i −0.995616 0.0935305i \(-0.970185\pi\)
−0.396615 0.917985i \(-0.629815\pi\)
\(384\) −3.45887 −0.176510
\(385\) −9.46040 6.47226i −0.482146 0.329857i
\(386\) −16.9118 −0.860790
\(387\) −12.8913 9.36610i −0.655303 0.476106i
\(388\) −1.51498 + 4.66262i −0.0769112 + 0.236708i
\(389\) 0.750241 + 2.30900i 0.0380387 + 0.117071i 0.968273 0.249896i \(-0.0803963\pi\)
−0.930234 + 0.366967i \(0.880396\pi\)
\(390\) −18.3480 + 13.3306i −0.929087 + 0.675021i
\(391\) 1.26270 0.917404i 0.0638574 0.0463951i
\(392\) −0.949813 2.92322i −0.0479728 0.147645i
\(393\) −4.51680 + 13.9013i −0.227842 + 0.701227i
\(394\) 18.7611 + 13.6308i 0.945173 + 0.686708i
\(395\) −32.7699 −1.64883
\(396\) −3.66669 + 12.4763i −0.184258 + 0.626956i
\(397\) −5.89696 −0.295960 −0.147980 0.988990i \(-0.547277\pi\)
−0.147980 + 0.988990i \(0.547277\pi\)
\(398\) −7.61481 5.53248i −0.381696 0.277318i
\(399\) −1.43376 + 4.41266i −0.0717778 + 0.220909i
\(400\) −4.09784 12.6119i −0.204892 0.630593i
\(401\) −9.09302 + 6.60646i −0.454084 + 0.329911i −0.791206 0.611550i \(-0.790546\pi\)
0.337122 + 0.941461i \(0.390546\pi\)
\(402\) 6.19427 4.50040i 0.308942 0.224460i
\(403\) −0.501804 1.54439i −0.0249966 0.0769317i
\(404\) 3.61756 11.1337i 0.179981 0.553923i
\(405\) −6.26243 4.54992i −0.311183 0.226087i
\(406\) 8.88640 0.441025
\(407\) 11.2066 + 31.4331i 0.555492 + 1.55808i
\(408\) 16.9917 0.841216
\(409\) −23.7320 17.2423i −1.17347 0.852578i −0.182052 0.983289i \(-0.558274\pi\)
−0.991421 + 0.130711i \(0.958274\pi\)
\(410\) −2.53060 + 7.78839i −0.124977 + 0.384641i
\(411\) −8.03961 24.7434i −0.396565 1.22050i
\(412\) 5.46251 3.96875i 0.269119 0.195526i
\(413\) 2.66704 1.93771i 0.131236 0.0953487i
\(414\) −1.43789 4.42536i −0.0706683 0.217495i
\(415\) −17.1619 + 52.8189i −0.842445 + 2.59278i
\(416\) 6.69713 + 4.86575i 0.328354 + 0.238563i
\(417\) 37.2120 1.82228
\(418\) −4.75144 + 3.66205i −0.232400 + 0.179117i
\(419\) −20.2858 −0.991027 −0.495514 0.868600i \(-0.665020\pi\)
−0.495514 + 0.868600i \(0.665020\pi\)
\(420\) −6.05866 4.40187i −0.295632 0.214789i
\(421\) −0.945600 + 2.91026i −0.0460857 + 0.141837i −0.971452 0.237238i \(-0.923758\pi\)
0.925366 + 0.379075i \(0.123758\pi\)
\(422\) −3.39542 10.4500i −0.165287 0.508700i
\(423\) −31.6644 + 23.0055i −1.53958 + 1.11857i
\(424\) 26.9116 19.5524i 1.30694 0.949548i
\(425\) 4.14971 + 12.7715i 0.201290 + 0.619508i
\(426\) 3.13932 9.66183i 0.152100 0.468117i
\(427\) 0.871010 + 0.632826i 0.0421511 + 0.0306246i
\(428\) −2.66211 −0.128678
\(429\) −15.4679 + 11.9215i −0.746796 + 0.575574i
\(430\) 11.8648 0.572173
\(431\) −6.10158 4.43306i −0.293903 0.213533i 0.431056 0.902325i \(-0.358141\pi\)
−0.724959 + 0.688792i \(0.758141\pi\)
\(432\) 3.66548 11.2812i 0.176355 0.542766i
\(433\) −9.93848 30.5875i −0.477613 1.46994i −0.842401 0.538851i \(-0.818859\pi\)
0.364788 0.931091i \(-0.381141\pi\)
\(434\) −0.710857 + 0.516468i −0.0341222 + 0.0247912i
\(435\) 63.7362 46.3071i 3.05592 2.22025i
\(436\) −0.907980 2.79447i −0.0434844 0.133831i
\(437\) −0.404796 + 1.24584i −0.0193640 + 0.0595964i
\(438\) 3.16082 + 2.29647i 0.151030 + 0.109729i
\(439\) −4.66725 −0.222756 −0.111378 0.993778i \(-0.535526\pi\)
−0.111378 + 0.993778i \(0.535526\pi\)
\(440\) −11.8315 33.1858i −0.564045 1.58207i
\(441\) 5.17284 0.246326
\(442\) 3.59099 + 2.60901i 0.170806 + 0.124098i
\(443\) 5.33893 16.4315i 0.253660 0.780686i −0.740430 0.672133i \(-0.765378\pi\)
0.994091 0.108553i \(-0.0346218\pi\)
\(444\) 6.73739 + 20.7356i 0.319743 + 0.984066i
\(445\) 12.4096 9.01611i 0.588272 0.427404i
\(446\) −15.6845 + 11.3955i −0.742684 + 0.539591i
\(447\) 2.77969 + 8.55501i 0.131475 + 0.404638i
\(448\) 2.56433 7.89221i 0.121153 0.372872i
\(449\) 13.5430 + 9.83957i 0.639134 + 0.464358i 0.859553 0.511047i \(-0.170742\pi\)
−0.220418 + 0.975405i \(0.570742\pi\)
\(450\) 40.0346 1.88725
\(451\) −1.98832 + 6.76546i −0.0936264 + 0.318573i
\(452\) −8.07529 −0.379829
\(453\) 6.63080 + 4.81756i 0.311542 + 0.226349i
\(454\) −4.35015 + 13.3884i −0.204162 + 0.628347i
\(455\) −2.19968 6.76992i −0.103123 0.317379i
\(456\) −11.5374 + 8.38241i −0.540288 + 0.392542i
\(457\) 17.5536 12.7534i 0.821121 0.596580i −0.0959121 0.995390i \(-0.530577\pi\)
0.917033 + 0.398810i \(0.130577\pi\)
\(458\) 1.57503 + 4.84746i 0.0735965 + 0.226507i
\(459\) −3.71187 + 11.4240i −0.173255 + 0.533224i
\(460\) −1.71055 1.24279i −0.0797549 0.0579453i
\(461\) −6.07778 −0.283070 −0.141535 0.989933i \(-0.545204\pi\)
−0.141535 + 0.989933i \(0.545204\pi\)
\(462\) 8.72126 + 5.96658i 0.405750 + 0.277591i
\(463\) −5.14719 −0.239210 −0.119605 0.992822i \(-0.538163\pi\)
−0.119605 + 0.992822i \(0.538163\pi\)
\(464\) 12.3183 + 8.94975i 0.571862 + 0.415482i
\(465\) −2.40719 + 7.40856i −0.111631 + 0.343564i
\(466\) 8.21605 + 25.2864i 0.380601 + 1.17137i
\(467\) 3.17076 2.30369i 0.146725 0.106602i −0.512001 0.858985i \(-0.671096\pi\)
0.658726 + 0.752383i \(0.271096\pi\)
\(468\) −6.53325 + 4.74669i −0.302000 + 0.219416i
\(469\) 0.742611 + 2.28552i 0.0342906 + 0.105536i
\(470\) 9.00570 27.7167i 0.415402 1.27848i
\(471\) −49.7016 36.1103i −2.29013 1.66388i
\(472\) 10.1327 0.466397
\(473\) 10.2125 0.289243i 0.469572 0.0132994i
\(474\) 30.2096 1.38757
\(475\) −9.11811 6.62469i −0.418368 0.303962i
\(476\) −0.452925 + 1.39396i −0.0207598 + 0.0638921i
\(477\) 17.2996 + 53.2428i 0.792096 + 2.43782i
\(478\) −7.96867 + 5.78958i −0.364478 + 0.264809i
\(479\) 12.2266 8.88315i 0.558648 0.405882i −0.272316 0.962208i \(-0.587790\pi\)
0.830964 + 0.556326i \(0.187790\pi\)
\(480\) −12.2713 37.7671i −0.560104 1.72382i
\(481\) −6.40399 + 19.7095i −0.291997 + 0.898674i
\(482\) −17.0825 12.4112i −0.778088 0.565314i
\(483\) 2.30745 0.104993
\(484\) −3.02114 7.77100i −0.137324 0.353227i
\(485\) 22.3541 1.01505
\(486\) −11.0288 8.01291i −0.500278 0.363473i
\(487\) 7.74916 23.8495i 0.351148 1.08072i −0.607062 0.794655i \(-0.707652\pi\)
0.958210 0.286067i \(-0.0923480\pi\)
\(488\) 1.02259 + 3.14722i 0.0462907 + 0.142468i
\(489\) −19.0172 + 13.8168i −0.859985 + 0.624816i
\(490\) −3.11608 + 2.26396i −0.140770 + 0.102275i
\(491\) 11.5019 + 35.3991i 0.519071 + 1.59754i 0.775750 + 0.631040i \(0.217372\pi\)
−0.256679 + 0.966497i \(0.582628\pi\)
\(492\) −1.42367 + 4.38159i −0.0641838 + 0.197538i
\(493\) −12.4742 9.06302i −0.561809 0.408178i
\(494\) −3.72536 −0.167612
\(495\) 59.2700 1.67867i 2.66399 0.0754504i
\(496\) −1.50554 −0.0676006
\(497\) 2.57963 + 1.87421i 0.115712 + 0.0840698i
\(498\) 15.8211 48.6922i 0.708959 2.18195i
\(499\) −9.83087 30.2563i −0.440090 1.35446i −0.887780 0.460269i \(-0.847753\pi\)
0.447689 0.894189i \(-0.352247\pi\)
\(500\) 4.12090 2.99401i 0.184292 0.133896i
\(501\) −50.2083 + 36.4785i −2.24314 + 1.62974i
\(502\) −0.987334 3.03870i −0.0440669 0.135624i
\(503\) −5.93493 + 18.2658i −0.264626 + 0.814434i 0.727154 + 0.686474i \(0.240843\pi\)
−0.991779 + 0.127959i \(0.959157\pi\)
\(504\) 12.8630 + 9.34552i 0.572964 + 0.416283i
\(505\) −53.3788 −2.37532
\(506\) 2.46229 + 1.68456i 0.109462 + 0.0748877i
\(507\) 25.0370 1.11193
\(508\) 11.9274 + 8.66577i 0.529193 + 0.384481i
\(509\) 0.777328 2.39237i 0.0344545 0.106040i −0.932350 0.361556i \(-0.882246\pi\)
0.966805 + 0.255516i \(0.0822455\pi\)
\(510\) −6.57984 20.2506i −0.291360 0.896714i
\(511\) −0.992078 + 0.720787i −0.0438869 + 0.0318857i
\(512\) 15.7059 11.4110i 0.694109 0.504300i
\(513\) −3.11533 9.58801i −0.137545 0.423321i
\(514\) 7.71978 23.7590i 0.340505 1.04797i
\(515\) −24.9073 18.0962i −1.09755 0.797416i
\(516\) 6.67492 0.293847
\(517\) 7.07588 24.0764i 0.311197 1.05888i
\(518\) 11.2135 0.492693
\(519\) −18.6082 13.5196i −0.816809 0.593447i
\(520\) 6.76107 20.8084i 0.296493 0.912510i
\(521\) 4.60335 + 14.1677i 0.201677 + 0.620697i 0.999834 + 0.0182471i \(0.00580856\pi\)
−0.798157 + 0.602450i \(0.794191\pi\)
\(522\) −37.1888 + 27.0193i −1.62771 + 1.18260i
\(523\) 8.01333 5.82203i 0.350399 0.254579i −0.398638 0.917109i \(-0.630517\pi\)
0.749036 + 0.662529i \(0.230517\pi\)
\(524\) −1.19755 3.68567i −0.0523151 0.161009i
\(525\) −6.13491 + 18.8813i −0.267749 + 0.824048i
\(526\) −0.893242 0.648979i −0.0389472 0.0282968i
\(527\) 1.52459 0.0664122
\(528\) 6.08025 + 17.0543i 0.264609 + 0.742193i
\(529\) −22.3485 −0.971675
\(530\) −33.7236 24.5016i −1.46486 1.06428i
\(531\) −5.26966 + 16.2183i −0.228684 + 0.703816i
\(532\) −0.380136 1.16994i −0.0164810 0.0507232i
\(533\) −3.54276 + 2.57397i −0.153454 + 0.111491i
\(534\) −11.4401 + 8.31169i −0.495060 + 0.359682i
\(535\) 3.75097 + 11.5443i 0.162169 + 0.499104i
\(536\) −2.28253 + 7.02491i −0.0985904 + 0.303430i
\(537\) −8.37456 6.08447i −0.361389 0.262564i
\(538\) −8.01342 −0.345483
\(539\) −2.62694 + 2.02465i −0.113150 + 0.0872077i
\(540\) 16.2722 0.700245
\(541\) 17.8052 + 12.9362i 0.765503 + 0.556171i 0.900593 0.434663i \(-0.143132\pi\)
−0.135090 + 0.990833i \(0.543132\pi\)
\(542\) −9.35508 + 28.7920i −0.401835 + 1.23672i
\(543\) −13.9739 43.0073i −0.599678 1.84562i
\(544\) −6.28768 + 4.56826i −0.269582 + 0.195863i
\(545\) −10.8389 + 7.87494i −0.464289 + 0.337325i
\(546\) 2.02782 + 6.24100i 0.0867828 + 0.267090i
\(547\) −3.35724 + 10.3325i −0.143545 + 0.441787i −0.996821 0.0796728i \(-0.974612\pi\)
0.853276 + 0.521460i \(0.174612\pi\)
\(548\) 5.58049 + 4.05446i 0.238387 + 0.173198i
\(549\) −5.56922 −0.237689
\(550\) −20.3309 + 15.6695i −0.866912 + 0.668150i
\(551\) 12.9410 0.551303
\(552\) 5.73781 + 4.16876i 0.244218 + 0.177434i
\(553\) −2.93004 + 9.01775i −0.124598 + 0.383474i
\(554\) 7.22721 + 22.2431i 0.307055 + 0.945018i
\(555\) 80.4270 58.4337i 3.41394 2.48037i
\(556\) −7.98184 + 5.79915i −0.338506 + 0.245939i
\(557\) 10.3869 + 31.9675i 0.440105 + 1.35451i 0.887763 + 0.460300i \(0.152258\pi\)
−0.447658 + 0.894205i \(0.647742\pi\)
\(558\) 1.40455 4.32275i 0.0594592 0.182997i
\(559\) 5.13290 + 3.72927i 0.217098 + 0.157731i
\(560\) −6.59959 −0.278884
\(561\) −6.15720 17.2701i −0.259957 0.729145i
\(562\) −31.3811 −1.32373
\(563\) 1.66130 + 1.20701i 0.0700155 + 0.0508693i 0.622242 0.782825i \(-0.286222\pi\)
−0.552227 + 0.833694i \(0.686222\pi\)
\(564\) 5.06643 15.5929i 0.213335 0.656578i
\(565\) 11.3782 + 35.0186i 0.478686 + 1.47324i
\(566\) 23.6151 17.1573i 0.992615 0.721177i
\(567\) −1.81200 + 1.31650i −0.0760971 + 0.0552877i
\(568\) 3.02857 + 9.32098i 0.127076 + 0.391099i
\(569\) 1.01177 3.11391i 0.0424156 0.130542i −0.927606 0.373559i \(-0.878137\pi\)
0.970022 + 0.243017i \(0.0781372\pi\)
\(570\) 14.4578 + 10.5042i 0.605571 + 0.439973i
\(571\) −43.8897 −1.83673 −0.918363 0.395738i \(-0.870489\pi\)
−0.918363 + 0.395738i \(0.870489\pi\)
\(572\) 1.45995 4.96763i 0.0610437 0.207707i
\(573\) −1.22666 −0.0512446
\(574\) 1.91697 + 1.39276i 0.0800128 + 0.0581327i
\(575\) −1.73208 + 5.33080i −0.0722328 + 0.222310i
\(576\) 13.2649 + 40.8251i 0.552704 + 1.70105i
\(577\) 35.5081 25.7981i 1.47822 1.07399i 0.500096 0.865970i \(-0.333298\pi\)
0.978125 0.208020i \(-0.0667019\pi\)
\(578\) 11.9561 8.68664i 0.497310 0.361317i
\(579\) 13.4058 + 41.2588i 0.557126 + 1.71466i
\(580\) −6.45466 + 19.8654i −0.268015 + 0.824866i
\(581\) 13.0004 + 9.44536i 0.539348 + 0.391859i
\(582\) −20.6076 −0.854214
\(583\) −29.6245 20.2674i −1.22692 0.839389i
\(584\) −3.76915 −0.155969
\(585\) 29.7896 + 21.6434i 1.23165 + 0.894844i
\(586\) −1.53730 + 4.73133i −0.0635054 + 0.195449i
\(587\) 0.862670 + 2.65503i 0.0356062 + 0.109585i 0.967280 0.253711i \(-0.0816513\pi\)
−0.931674 + 0.363296i \(0.881651\pi\)
\(588\) −1.75304 + 1.27366i −0.0722943 + 0.0525249i
\(589\) −1.03520 + 0.752114i −0.0426545 + 0.0309903i
\(590\) −3.92378 12.0761i −0.161539 0.497167i
\(591\) 18.3825 56.5754i 0.756153 2.32720i
\(592\) 15.5441 + 11.2935i 0.638859 + 0.464158i
\(593\) 23.2526 0.954871 0.477435 0.878667i \(-0.341566\pi\)
0.477435 + 0.878667i \(0.341566\pi\)
\(594\) −22.9511 + 0.650030i −0.941696 + 0.0266710i
\(595\) 6.68312 0.273981
\(596\) −1.92945 1.40183i −0.0790334 0.0574211i
\(597\) −7.46111 + 22.9629i −0.305363 + 0.939810i
\(598\) 0.572519 + 1.76203i 0.0234120 + 0.0720549i
\(599\) −8.46187 + 6.14791i −0.345743 + 0.251197i −0.747081 0.664733i \(-0.768545\pi\)
0.401338 + 0.915930i \(0.368545\pi\)
\(600\) −49.3673 + 35.8674i −2.01541 + 1.46428i
\(601\) 6.89406 + 21.2177i 0.281215 + 0.865489i 0.987508 + 0.157570i \(0.0503660\pi\)
−0.706293 + 0.707919i \(0.749634\pi\)
\(602\) 1.06087 3.26501i 0.0432376 0.133072i
\(603\) −10.0569 7.30679i −0.409550 0.297556i
\(604\) −2.17306 −0.0884204
\(605\) −29.4422 + 24.0507i −1.19700 + 0.977800i
\(606\) 49.2083 1.99895
\(607\) −15.3619 11.1611i −0.623522 0.453015i 0.230628 0.973042i \(-0.425922\pi\)
−0.854150 + 0.520027i \(0.825922\pi\)
\(608\) 2.01571 6.20370i 0.0817477 0.251593i
\(609\) −7.04413 21.6796i −0.285443 0.878502i
\(610\) 3.35485 2.43744i 0.135834 0.0986892i
\(611\) 12.6077 9.16004i 0.510053 0.370576i
\(612\) −2.34291 7.21074i −0.0947066 0.291477i
\(613\) 6.23030 19.1749i 0.251639 0.774467i −0.742834 0.669476i \(-0.766519\pi\)
0.994473 0.104991i \(-0.0334813\pi\)
\(614\) −11.6166 8.43995i −0.468807 0.340608i
\(615\) 21.0068 0.847077
\(616\) −10.1901 + 0.288607i −0.410570 + 0.0116283i
\(617\) 7.03919 0.283387 0.141694 0.989911i \(-0.454745\pi\)
0.141694 + 0.989911i \(0.454745\pi\)
\(618\) 22.9614 + 16.6824i 0.923641 + 0.671064i
\(619\) −9.60520 + 29.5618i −0.386066 + 1.18819i 0.549639 + 0.835402i \(0.314765\pi\)
−0.935704 + 0.352785i \(0.885235\pi\)
\(620\) −0.638222 1.96425i −0.0256316 0.0788860i
\(621\) −4.05619 + 2.94700i −0.162769 + 0.118259i
\(622\) −24.1814 + 17.5688i −0.969585 + 0.704445i
\(623\) −1.37151 4.22108i −0.0549484 0.169114i
\(624\) −3.47453 + 10.6935i −0.139093 + 0.428083i
\(625\) 9.30098 + 6.75756i 0.372039 + 0.270302i
\(626\) 3.99947 0.159851
\(627\) 12.7005 + 8.68894i 0.507208 + 0.347003i
\(628\) 16.2883 0.649973
\(629\) −15.7408 11.4364i −0.627628 0.455998i
\(630\) 6.15690 18.9490i 0.245297 0.754946i
\(631\) 6.78971 + 20.8966i 0.270294 + 0.831880i 0.990426 + 0.138043i \(0.0440812\pi\)
−0.720132 + 0.693837i \(0.755919\pi\)
\(632\) −23.5779 + 17.1303i −0.937879 + 0.681409i
\(633\) −22.8028 + 16.5672i −0.906331 + 0.658488i
\(634\) −5.82639 17.9318i −0.231396 0.712163i
\(635\) 20.7733 63.9337i 0.824364 2.53713i
\(636\) −18.9722 13.7841i −0.752298 0.546576i
\(637\) −2.05965 −0.0816064
\(638\) 8.31039 28.2770i 0.329012 1.11950i
\(639\) −16.4941 −0.652496
\(640\) −3.38290 2.45782i −0.133721 0.0971538i
\(641\) −4.10713 + 12.6404i −0.162222 + 0.499267i −0.998821 0.0485485i \(-0.984540\pi\)
0.836599 + 0.547816i \(0.184540\pi\)
\(642\) −3.45791 10.6424i −0.136473 0.420020i
\(643\) −11.8848 + 8.63480i −0.468690 + 0.340523i −0.796930 0.604071i \(-0.793544\pi\)
0.328241 + 0.944594i \(0.393544\pi\)
\(644\) −0.494940 + 0.359595i −0.0195034 + 0.0141700i
\(645\) −9.40510 28.9459i −0.370325 1.13974i
\(646\) 1.08082 3.32642i 0.0425242 0.130876i
\(647\) 4.97160 + 3.61208i 0.195454 + 0.142005i 0.681208 0.732090i \(-0.261455\pi\)
−0.485754 + 0.874095i \(0.661455\pi\)
\(648\) −6.88426 −0.270439
\(649\) −3.67174 10.2988i −0.144128 0.404261i
\(650\) −15.9404 −0.625236
\(651\) 1.82348 + 1.32484i 0.0714679 + 0.0519245i
\(652\) 1.92589 5.92729i 0.0754238 0.232131i
\(653\) −12.5674 38.6786i −0.491802 1.51361i −0.821882 0.569658i \(-0.807076\pi\)
0.330079 0.943953i \(-0.392924\pi\)
\(654\) 9.99209 7.25968i 0.390722 0.283876i
\(655\) −14.2956 + 10.3864i −0.558576 + 0.405829i
\(656\) 1.25460 + 3.86127i 0.0489841 + 0.150757i
\(657\) 1.96020 6.03286i 0.0764745 0.235364i
\(658\) −6.82196 4.95645i −0.265948 0.193222i
\(659\) 18.0090 0.701531 0.350765 0.936463i \(-0.385921\pi\)
0.350765 + 0.936463i \(0.385921\pi\)
\(660\) −19.6729 + 15.1624i −0.765767 + 0.590196i
\(661\) −17.1420 −0.666745 −0.333373 0.942795i \(-0.608187\pi\)
−0.333373 + 0.942795i \(0.608187\pi\)
\(662\) 1.11644 + 0.811145i 0.0433919 + 0.0315260i
\(663\) 3.51851 10.8289i 0.136647 0.420558i
\(664\) 15.2629 + 46.9744i 0.592316 + 1.82296i
\(665\) −4.53784 + 3.29693i −0.175970 + 0.127850i
\(666\) −46.9276 + 34.0949i −1.81841 + 1.32115i
\(667\) −1.98878 6.12085i −0.0770060 0.237000i
\(668\) 5.08466 15.6490i 0.196732 0.605478i
\(669\) 40.2338 + 29.2315i 1.55553 + 1.13016i
\(670\) 9.25613 0.357596
\(671\) 2.82823 2.17979i 0.109183 0.0841498i
\(672\) −11.4901 −0.443240
\(673\) 18.7632 + 13.6322i 0.723268 + 0.525485i 0.887426 0.460949i \(-0.152491\pi\)
−0.164159 + 0.986434i \(0.552491\pi\)
\(674\) −7.05329 + 21.7078i −0.271683 + 0.836153i
\(675\) −13.3302 41.0261i −0.513079 1.57910i
\(676\) −5.37035 + 3.90179i −0.206552 + 0.150069i
\(677\) 22.3050 16.2056i 0.857252 0.622830i −0.0698841 0.997555i \(-0.522263\pi\)
0.927136 + 0.374725i \(0.122263\pi\)
\(678\) −10.4893 32.2826i −0.402838 1.23981i
\(679\) 1.99874 6.15150i 0.0767047 0.236073i
\(680\) 16.6185 + 12.0741i 0.637291 + 0.463019i
\(681\) 36.1111 1.38378
\(682\) 0.978646 + 2.74497i 0.0374743 + 0.105110i
\(683\) 21.9351 0.839322 0.419661 0.907681i \(-0.362149\pi\)
0.419661 + 0.907681i \(0.362149\pi\)
\(684\) 5.14806 + 3.74028i 0.196841 + 0.143013i
\(685\) 9.71923 29.9127i 0.371353 1.14291i
\(686\) 0.344389 + 1.05992i 0.0131488 + 0.0404680i
\(687\) 10.5775 7.68503i 0.403558 0.293202i
\(688\) 4.75885 3.45751i 0.181430 0.131816i
\(689\) −6.88814 21.1995i −0.262417 0.807637i
\(690\) 2.74641 8.45259i 0.104554 0.321785i
\(691\) 20.7647 + 15.0865i 0.789928 + 0.573916i 0.907942 0.419096i \(-0.137653\pi\)
−0.118014 + 0.993012i \(0.537653\pi\)
\(692\) 6.09830 0.231823
\(693\) 4.83754 16.4602i 0.183763 0.625273i
\(694\) 30.3913 1.15364
\(695\) 36.3947 + 26.4423i 1.38053 + 1.00301i
\(696\) 21.6513 66.6357i 0.820689 2.52582i
\(697\) −1.27048 3.91014i −0.0481229 0.148107i
\(698\) −7.19886 + 5.23028i −0.272481 + 0.197969i
\(699\) 55.1770 40.0884i 2.08699 1.51628i
\(700\) −1.62656 5.00604i −0.0614782 0.189211i
\(701\) −5.69007 + 17.5122i −0.214911 + 0.661428i 0.784249 + 0.620446i \(0.213049\pi\)
−0.999160 + 0.0409817i \(0.986951\pi\)
\(702\) −11.5354 8.38097i −0.435376 0.316319i
\(703\) 16.3298 0.615892
\(704\) −22.7153 15.5405i −0.856114 0.585704i
\(705\) −74.7575 −2.81553
\(706\) −5.35087 3.88764i −0.201383 0.146313i
\(707\) −4.77274 + 14.6890i −0.179497 + 0.552436i
\(708\) −2.20744 6.79380i −0.0829607 0.255327i
\(709\) −19.1430 + 13.9082i −0.718930 + 0.522334i −0.886042 0.463604i \(-0.846556\pi\)
0.167112 + 0.985938i \(0.446556\pi\)
\(710\) 9.93591 7.21886i 0.372888 0.270919i
\(711\) −15.1567 46.6474i −0.568419 1.74941i
\(712\) 4.21556 12.9741i 0.157985 0.486227i
\(713\) 0.514827 + 0.374044i 0.0192804 + 0.0140081i
\(714\) −6.16097 −0.230569
\(715\) −23.5993 + 0.668389i −0.882565 + 0.0249963i
\(716\) 2.74452 0.102568
\(717\) 20.4411 + 14.8514i 0.763389 + 0.554634i
\(718\) 9.78763 30.1232i 0.365271 1.12419i
\(719\) 3.43696 + 10.5779i 0.128177 + 0.394488i 0.994467 0.105054i \(-0.0335015\pi\)
−0.866289 + 0.499542i \(0.833502\pi\)
\(720\) 27.6187 20.0662i 1.02929 0.747823i
\(721\) −7.20682 + 5.23606i −0.268396 + 0.195001i
\(722\) −5.63627 17.3467i −0.209760 0.645576i
\(723\) −16.7377 + 51.5135i −0.622483 + 1.91581i
\(724\) 9.69964 + 7.04720i 0.360484 + 0.261907i
\(725\) 55.3730 2.05650
\(726\) 27.1419 22.1716i 1.00733 0.822867i
\(727\) 42.4803 1.57551 0.787753 0.615991i \(-0.211244\pi\)
0.787753 + 0.615991i \(0.211244\pi\)
\(728\) −5.12162 3.72107i −0.189820 0.137912i
\(729\) −12.8826 + 39.6485i −0.477133 + 1.46846i
\(730\) 1.45956 + 4.49205i 0.0540206 + 0.166258i
\(731\) −4.81908 + 3.50127i −0.178240 + 0.129499i
\(732\) 1.88738 1.37126i 0.0697594 0.0506832i
\(733\) 6.85660 + 21.1025i 0.253254 + 0.779437i 0.994169 + 0.107837i \(0.0343925\pi\)
−0.740914 + 0.671600i \(0.765607\pi\)
\(734\) −10.4699 + 32.2231i −0.386452 + 1.18938i
\(735\) 7.99333 + 5.80749i 0.294838 + 0.214213i
\(736\) −3.24402 −0.119576
\(737\) 7.96712 0.225648i 0.293473 0.00831184i
\(738\) −12.2571 −0.451189
\(739\) −23.8240 17.3092i −0.876381 0.636728i 0.0559106 0.998436i \(-0.482194\pi\)
−0.932292 + 0.361708i \(0.882194\pi\)
\(740\) −8.14496 + 25.0676i −0.299415 + 0.921504i
\(741\) 2.95305 + 9.08855i 0.108483 + 0.333876i
\(742\) −9.75776 + 7.08943i −0.358219 + 0.260261i
\(743\) −13.6772 + 9.93704i −0.501766 + 0.364555i −0.809691 0.586856i \(-0.800365\pi\)
0.307925 + 0.951411i \(0.400365\pi\)
\(744\) 2.14083 + 6.58879i 0.0784866 + 0.241557i
\(745\) −3.36042 + 10.3423i −0.123116 + 0.378913i
\(746\) −13.0037 9.44774i −0.476099 0.345906i
\(747\) −83.1244 −3.04136
\(748\) 4.01208 + 2.74484i 0.146696 + 0.100361i
\(749\) 3.51219 0.128333
\(750\) 17.3220 + 12.5851i 0.632508 + 0.459544i
\(751\) −0.479429 + 1.47553i −0.0174946 + 0.0538429i −0.959423 0.281972i \(-0.909012\pi\)
0.941928 + 0.335815i \(0.109012\pi\)
\(752\) −4.46479 13.7412i −0.162814 0.501090i
\(753\) −6.63069 + 4.81748i −0.241636 + 0.175559i
\(754\) 14.8074 10.7582i 0.539252 0.391789i
\(755\) 3.06188 + 9.42349i 0.111433 + 0.342956i
\(756\) 1.45494 4.47785i 0.0529157 0.162858i
\(757\) −10.1505 7.37474i −0.368925 0.268040i 0.387840 0.921727i \(-0.373221\pi\)
−0.756765 + 0.653687i \(0.773221\pi\)
\(758\) −24.9721 −0.907027
\(759\) 2.15789 7.34243i 0.0783264 0.266513i
\(760\) −17.2404 −0.625375
\(761\) 7.30895 + 5.31026i 0.264949 + 0.192497i 0.712326 0.701849i \(-0.247642\pi\)
−0.447377 + 0.894346i \(0.647642\pi\)
\(762\) −19.1503 + 58.9386i −0.693742 + 2.13512i
\(763\) 1.19792 + 3.68682i 0.0433676 + 0.133472i
\(764\) 0.263115 0.191164i 0.00951916 0.00691608i
\(765\) −27.9683 + 20.3201i −1.01120 + 0.734677i
\(766\) 11.5985 + 35.6966i 0.419072 + 1.28977i
\(767\) 2.09820 6.45761i 0.0757617 0.233171i
\(768\) −35.2668 25.6229i −1.27258 0.924585i
\(769\) −16.1383 −0.581963 −0.290981 0.956729i \(-0.593982\pi\)
−0.290981