Properties

Label 418.2.u.b.5.7
Level $418$
Weight $2$
Character 418.5
Analytic conductor $3.338$
Analytic rank $0$
Dimension $264$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 418 = 2 \cdot 11 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 418.u (of order \(45\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.33774680449\)
Analytic rank: \(0\)
Dimension: \(264\)
Relative dimension: \(11\) over \(\Q(\zeta_{45})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{45}]$

Embedding invariants

Embedding label 5.7
Character \(\chi\) \(=\) 418.5
Dual form 418.2.u.b.251.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.615661 - 0.788011i) q^{2} +(0.555466 - 0.536408i) q^{3} +(-0.241922 + 0.970296i) q^{4} +(-0.977067 + 0.610539i) q^{5} +(-0.764674 - 0.107468i) q^{6} +(2.99213 + 1.33218i) q^{7} +(0.913545 - 0.406737i) q^{8} +(-0.0838888 + 2.40226i) q^{9} +O(q^{10})\) \(q+(-0.615661 - 0.788011i) q^{2} +(0.555466 - 0.536408i) q^{3} +(-0.241922 + 0.970296i) q^{4} +(-0.977067 + 0.610539i) q^{5} +(-0.764674 - 0.107468i) q^{6} +(2.99213 + 1.33218i) q^{7} +(0.913545 - 0.406737i) q^{8} +(-0.0838888 + 2.40226i) q^{9} +(1.08265 + 0.394054i) q^{10} +(-1.05491 + 3.14439i) q^{11} +(0.386095 + 0.668735i) q^{12} +(-5.35486 + 2.84723i) q^{13} +(-0.792365 - 3.17800i) q^{14} +(-0.215230 + 0.863241i) q^{15} +(-0.882948 - 0.469472i) q^{16} +(-0.0924834 - 2.64838i) q^{17} +(1.94465 - 1.41287i) q^{18} +(3.04547 + 3.11851i) q^{19} +(-0.356030 - 1.09575i) q^{20} +(2.37662 - 0.865019i) q^{21} +(3.12728 - 1.10459i) q^{22} +(1.68098 - 1.41051i) q^{23} +(0.289267 - 0.715961i) q^{24} +(-1.60995 + 3.30089i) q^{25} +(5.54043 + 2.46676i) q^{26} +(2.79208 + 3.10092i) q^{27} +(-2.01647 + 2.58097i) q^{28} +(5.90592 - 1.69349i) q^{29} +(0.812752 - 0.361860i) q^{30} +(1.33412 - 1.48169i) q^{31} +(0.173648 + 0.984808i) q^{32} +(1.10070 + 2.31246i) q^{33} +(-2.03001 + 1.70338i) q^{34} +(-3.73686 + 0.525182i) q^{35} +(-2.31061 - 0.662556i) q^{36} +(0.617677 - 0.448769i) q^{37} +(0.582442 - 4.31981i) q^{38} +(-1.44717 + 4.45393i) q^{39} +(-0.644267 + 0.955165i) q^{40} +(5.47478 - 5.28693i) q^{41} +(-2.14484 - 1.34024i) q^{42} +(0.491108 + 0.412089i) q^{43} +(-2.79578 - 1.78427i) q^{44} +(-1.38471 - 2.39839i) q^{45} +(-2.14641 - 0.456233i) q^{46} +(-3.59165 - 5.32484i) q^{47} +(-0.742276 + 0.212844i) q^{48} +(2.49421 + 2.77010i) q^{49} +(3.59233 - 0.763573i) q^{50} +(-1.47198 - 1.42148i) q^{51} +(-1.46720 - 5.88461i) q^{52} +(-2.32788 - 1.45462i) q^{53} +(0.724581 - 4.10930i) q^{54} +(-0.889051 - 3.71634i) q^{55} +3.27529 q^{56} +(3.36445 + 0.0986147i) q^{57} +(-4.97054 - 3.61131i) q^{58} +(-1.50875 + 2.23681i) q^{59} +(-0.785530 - 0.417674i) q^{60} +(3.85045 + 9.53020i) q^{61} +(-1.98896 - 0.139081i) q^{62} +(-3.45125 + 7.07611i) q^{63} +(0.669131 - 0.743145i) q^{64} +(3.49371 - 6.05129i) q^{65} +(1.14459 - 2.29106i) q^{66} +(-0.920997 - 0.335215i) q^{67} +(2.59208 + 0.550964i) q^{68} +(0.177119 - 1.68518i) q^{69} +(2.71449 + 2.62135i) q^{70} +(1.36358 - 0.852057i) q^{71} +(0.900451 + 2.22869i) q^{72} +(0.445178 + 0.912750i) q^{73} +(-0.733915 - 0.210447i) q^{74} +(0.876350 + 2.69713i) q^{75} +(-3.76264 + 2.20057i) q^{76} +(-7.34533 + 8.00307i) q^{77} +(4.40071 - 1.60173i) q^{78} +(5.47815 - 0.769904i) q^{79} +(1.14933 - 0.0803690i) q^{80} +(-3.97934 - 0.278263i) q^{81} +(-7.53677 - 1.05922i) q^{82} +(-8.72343 + 1.85422i) q^{83} +(0.264368 + 2.51529i) q^{84} +(1.70730 + 2.53118i) q^{85} +(0.0223739 - 0.640706i) q^{86} +(2.37214 - 4.10866i) q^{87} +(0.315226 + 3.30161i) q^{88} +(-2.25465 - 12.7868i) q^{89} +(-1.03744 + 2.56776i) q^{90} +(-19.8155 + 1.38563i) q^{91} +(0.961945 + 1.97228i) q^{92} +(-0.0537313 - 1.53866i) q^{93} +(-1.98479 + 6.10856i) q^{94} +(-4.87960 - 1.18762i) q^{95} +(0.624714 + 0.453881i) q^{96} +(2.24259 + 2.87038i) q^{97} +(0.647281 - 3.67091i) q^{98} +(-7.46513 - 2.79795i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 264 q + 6 q^{3} - 9 q^{6} - 15 q^{7} + 33 q^{8} + 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 264 q + 6 q^{3} - 9 q^{6} - 15 q^{7} + 33 q^{8} + 6 q^{9} + 3 q^{11} - 6 q^{13} + 18 q^{14} - 39 q^{15} - 3 q^{17} - 78 q^{18} - 45 q^{19} - 24 q^{20} + 48 q^{21} + 6 q^{23} - 9 q^{24} + 30 q^{25} + 18 q^{26} - 24 q^{27} + 6 q^{28} - 3 q^{31} - 63 q^{33} - 36 q^{34} + 42 q^{35} - 9 q^{36} + 60 q^{37} - 3 q^{38} + 36 q^{39} + 39 q^{41} + 6 q^{42} - 60 q^{43} + 60 q^{44} - 108 q^{45} - 12 q^{46} - 24 q^{47} - 12 q^{48} + 6 q^{49} + 18 q^{50} + 96 q^{51} + 3 q^{52} - 117 q^{53} + 54 q^{54} + 102 q^{55} - 96 q^{57} - 60 q^{58} - 141 q^{59} + 36 q^{60} + 24 q^{61} - 27 q^{62} - 81 q^{63} + 33 q^{64} - 102 q^{65} + 72 q^{66} + 102 q^{67} - 21 q^{68} - 6 q^{69} - 33 q^{70} - 66 q^{71} - 12 q^{72} + 36 q^{73} + 18 q^{74} + 6 q^{76} - 174 q^{77} + 18 q^{78} + 36 q^{79} + 60 q^{81} - 36 q^{82} - 24 q^{83} + 48 q^{84} + 174 q^{85} - 21 q^{86} + 12 q^{87} + 3 q^{88} + 30 q^{89} - 48 q^{90} - 18 q^{91} + 18 q^{92} - 123 q^{93} - 120 q^{94} - 18 q^{95} - 24 q^{97} - 84 q^{98} - 141 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).

\(n\) \(287\) \(343\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\) \(e\left(\frac{2}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.615661 0.788011i −0.435338 0.557208i
\(3\) 0.555466 0.536408i 0.320699 0.309695i −0.516830 0.856088i \(-0.672888\pi\)
0.837529 + 0.546393i \(0.183999\pi\)
\(4\) −0.241922 + 0.970296i −0.120961 + 0.485148i
\(5\) −0.977067 + 0.610539i −0.436958 + 0.273042i −0.730511 0.682901i \(-0.760718\pi\)
0.293553 + 0.955943i \(0.405162\pi\)
\(6\) −0.764674 0.107468i −0.312177 0.0438736i
\(7\) 2.99213 + 1.33218i 1.13092 + 0.503517i 0.884915 0.465752i \(-0.154216\pi\)
0.246003 + 0.969269i \(0.420883\pi\)
\(8\) 0.913545 0.406737i 0.322987 0.143803i
\(9\) −0.0838888 + 2.40226i −0.0279629 + 0.800753i
\(10\) 1.08265 + 0.394054i 0.342365 + 0.124611i
\(11\) −1.05491 + 3.14439i −0.318068 + 0.948068i
\(12\) 0.386095 + 0.668735i 0.111456 + 0.193047i
\(13\) −5.35486 + 2.84723i −1.48517 + 0.789680i −0.996564 0.0828238i \(-0.973606\pi\)
−0.488608 + 0.872504i \(0.662495\pi\)
\(14\) −0.792365 3.17800i −0.211768 0.849357i
\(15\) −0.215230 + 0.863241i −0.0555722 + 0.222888i
\(16\) −0.882948 0.469472i −0.220737 0.117368i
\(17\) −0.0924834 2.64838i −0.0224305 0.642326i −0.957596 0.288115i \(-0.906972\pi\)
0.935165 0.354211i \(-0.115251\pi\)
\(18\) 1.94465 1.41287i 0.458359 0.333017i
\(19\) 3.04547 + 3.11851i 0.698679 + 0.715436i
\(20\) −0.356030 1.09575i −0.0796107 0.245017i
\(21\) 2.37662 0.865019i 0.518621 0.188763i
\(22\) 3.12728 1.10459i 0.666738 0.235500i
\(23\) 1.68098 1.41051i 0.350508 0.294111i −0.450486 0.892784i \(-0.648749\pi\)
0.800994 + 0.598672i \(0.204305\pi\)
\(24\) 0.289267 0.715961i 0.0590464 0.146145i
\(25\) −1.60995 + 3.30089i −0.321991 + 0.660179i
\(26\) 5.54043 + 2.46676i 1.08657 + 0.483771i
\(27\) 2.79208 + 3.10092i 0.537336 + 0.596772i
\(28\) −2.01647 + 2.58097i −0.381077 + 0.487757i
\(29\) 5.90592 1.69349i 1.09670 0.314474i 0.321961 0.946753i \(-0.395658\pi\)
0.774741 + 0.632279i \(0.217880\pi\)
\(30\) 0.812752 0.361860i 0.148387 0.0660664i
\(31\) 1.33412 1.48169i 0.239615 0.266120i −0.611328 0.791377i \(-0.709364\pi\)
0.850943 + 0.525258i \(0.176031\pi\)
\(32\) 0.173648 + 0.984808i 0.0306970 + 0.174091i
\(33\) 1.10070 + 2.31246i 0.191608 + 0.402548i
\(34\) −2.03001 + 1.70338i −0.348144 + 0.292128i
\(35\) −3.73686 + 0.525182i −0.631645 + 0.0887719i
\(36\) −2.31061 0.662556i −0.385101 0.110426i
\(37\) 0.617677 0.448769i 0.101545 0.0737771i −0.535854 0.844311i \(-0.680010\pi\)
0.637399 + 0.770534i \(0.280010\pi\)
\(38\) 0.582442 4.31981i 0.0944845 0.700766i
\(39\) −1.44717 + 4.45393i −0.231733 + 0.713200i
\(40\) −0.644267 + 0.955165i −0.101868 + 0.151025i
\(41\) 5.47478 5.28693i 0.855017 0.825680i −0.131162 0.991361i \(-0.541871\pi\)
0.986179 + 0.165680i \(0.0529820\pi\)
\(42\) −2.14484 1.34024i −0.330956 0.206804i
\(43\) 0.491108 + 0.412089i 0.0748933 + 0.0628429i 0.679466 0.733707i \(-0.262212\pi\)
−0.604573 + 0.796550i \(0.706656\pi\)
\(44\) −2.79578 1.78427i −0.421479 0.268989i
\(45\) −1.38471 2.39839i −0.206420 0.357530i
\(46\) −2.14641 0.456233i −0.316471 0.0672679i
\(47\) −3.59165 5.32484i −0.523896 0.776708i 0.470503 0.882398i \(-0.344072\pi\)
−0.994399 + 0.105691i \(0.966295\pi\)
\(48\) −0.742276 + 0.212844i −0.107138 + 0.0307214i
\(49\) 2.49421 + 2.77010i 0.356316 + 0.395729i
\(50\) 3.59233 0.763573i 0.508032 0.107985i
\(51\) −1.47198 1.42148i −0.206119 0.199047i
\(52\) −1.46720 5.88461i −0.203464 0.816048i
\(53\) −2.32788 1.45462i −0.319758 0.199807i 0.360538 0.932745i \(-0.382593\pi\)
−0.680296 + 0.732937i \(0.738149\pi\)
\(54\) 0.724581 4.10930i 0.0986030 0.559205i
\(55\) −0.889051 3.71634i −0.119880 0.501111i
\(56\) 3.27529 0.437679
\(57\) 3.36445 + 0.0986147i 0.445632 + 0.0130618i
\(58\) −4.97054 3.61131i −0.652664 0.474188i
\(59\) −1.50875 + 2.23681i −0.196422 + 0.291208i −0.914362 0.404897i \(-0.867307\pi\)
0.717940 + 0.696105i \(0.245085\pi\)
\(60\) −0.785530 0.417674i −0.101411 0.0539214i
\(61\) 3.85045 + 9.53020i 0.493000 + 1.22022i 0.944667 + 0.328031i \(0.106385\pi\)
−0.451667 + 0.892186i \(0.649171\pi\)
\(62\) −1.98896 0.139081i −0.252598 0.0176634i
\(63\) −3.45125 + 7.07611i −0.434817 + 0.891507i
\(64\) 0.669131 0.743145i 0.0836413 0.0928931i
\(65\) 3.49371 6.05129i 0.433342 0.750570i
\(66\) 1.14459 2.29106i 0.140889 0.282010i
\(67\) −0.920997 0.335215i −0.112518 0.0409531i 0.285148 0.958484i \(-0.407957\pi\)
−0.397665 + 0.917530i \(0.630180\pi\)
\(68\) 2.59208 + 0.550964i 0.314336 + 0.0668143i
\(69\) 0.177119 1.68518i 0.0213227 0.202872i
\(70\) 2.71449 + 2.62135i 0.324444 + 0.313312i
\(71\) 1.36358 0.852057i 0.161827 0.101121i −0.446588 0.894740i \(-0.647361\pi\)
0.608415 + 0.793619i \(0.291806\pi\)
\(72\) 0.900451 + 2.22869i 0.106119 + 0.262654i
\(73\) 0.445178 + 0.912750i 0.0521041 + 0.106829i 0.923258 0.384182i \(-0.125516\pi\)
−0.871153 + 0.491011i \(0.836627\pi\)
\(74\) −0.733915 0.210447i −0.0853158 0.0244639i
\(75\) 0.876350 + 2.69713i 0.101192 + 0.311437i
\(76\) −3.76264 + 2.20057i −0.431605 + 0.252423i
\(77\) −7.34533 + 8.00307i −0.837078 + 0.912035i
\(78\) 4.40071 1.60173i 0.498283 0.181360i
\(79\) 5.47815 0.769904i 0.616340 0.0866210i 0.175908 0.984407i \(-0.443714\pi\)
0.440433 + 0.897786i \(0.354825\pi\)
\(80\) 1.14933 0.0803690i 0.128499 0.00898553i
\(81\) −3.97934 0.278263i −0.442149 0.0309181i
\(82\) −7.53677 1.05922i −0.832297 0.116972i
\(83\) −8.72343 + 1.85422i −0.957521 + 0.203527i −0.660065 0.751208i \(-0.729471\pi\)
−0.297456 + 0.954736i \(0.596138\pi\)
\(84\) 0.264368 + 2.51529i 0.0288449 + 0.274441i
\(85\) 1.70730 + 2.53118i 0.185183 + 0.274545i
\(86\) 0.0223739 0.640706i 0.00241264 0.0690891i
\(87\) 2.37214 4.10866i 0.254320 0.440494i
\(88\) 0.315226 + 3.30161i 0.0336032 + 0.351953i
\(89\) −2.25465 12.7868i −0.238993 1.35540i −0.834039 0.551705i \(-0.813977\pi\)
0.595046 0.803691i \(-0.297134\pi\)
\(90\) −1.03744 + 2.56776i −0.109356 + 0.270666i
\(91\) −19.8155 + 1.38563i −2.07723 + 0.145254i
\(92\) 0.961945 + 1.97228i 0.100290 + 0.205624i
\(93\) −0.0537313 1.53866i −0.00557168 0.159552i
\(94\) −1.98479 + 6.10856i −0.204716 + 0.630050i
\(95\) −4.87960 1.18762i −0.500637 0.121847i
\(96\) 0.624714 + 0.453881i 0.0637596 + 0.0463241i
\(97\) 2.24259 + 2.87038i 0.227700 + 0.291443i 0.888270 0.459322i \(-0.151907\pi\)
−0.660570 + 0.750765i \(0.729685\pi\)
\(98\) 0.647281 3.67091i 0.0653852 0.370818i
\(99\) −7.46513 2.79795i −0.750274 0.281205i
\(100\) −2.81336 2.36069i −0.281336 0.236069i
\(101\) 5.93026 3.15317i 0.590083 0.313752i −0.147444 0.989070i \(-0.547105\pi\)
0.737527 + 0.675318i \(0.235994\pi\)
\(102\) −0.213896 + 2.03509i −0.0211789 + 0.201504i
\(103\) −1.70889 16.2590i −0.168382 1.60204i −0.673629 0.739069i \(-0.735266\pi\)
0.505248 0.862974i \(-0.331401\pi\)
\(104\) −3.73384 + 4.77909i −0.366133 + 0.468629i
\(105\) −1.79399 + 2.29620i −0.175075 + 0.224086i
\(106\) 0.286929 + 2.72994i 0.0278690 + 0.265156i
\(107\) −0.0686457 + 0.653120i −0.00663623 + 0.0631395i −0.997339 0.0729060i \(-0.976773\pi\)
0.990703 + 0.136046i \(0.0434394\pi\)
\(108\) −3.68427 + 1.95896i −0.354519 + 0.188501i
\(109\) 15.7596 + 13.2239i 1.50949 + 1.26662i 0.864733 + 0.502231i \(0.167487\pi\)
0.644760 + 0.764385i \(0.276957\pi\)
\(110\) −2.38116 + 2.98859i −0.227035 + 0.284951i
\(111\) 0.102376 0.580603i 0.00971709 0.0551084i
\(112\) −2.01647 2.58097i −0.190539 0.243878i
\(113\) −9.26108 6.72857i −0.871209 0.632971i 0.0597019 0.998216i \(-0.480985\pi\)
−0.930911 + 0.365246i \(0.880985\pi\)
\(114\) −1.99365 2.71194i −0.186723 0.253996i
\(115\) −0.781258 + 2.40446i −0.0728527 + 0.224217i
\(116\) 0.214420 + 6.14018i 0.0199084 + 0.570101i
\(117\) −6.39058 13.1026i −0.590809 1.21134i
\(118\) 2.69150 0.188208i 0.247773 0.0173260i
\(119\) 3.25140 8.04749i 0.298055 0.737713i
\(120\) 0.154489 + 0.876151i 0.0141029 + 0.0799813i
\(121\) −8.77432 6.63410i −0.797665 0.603100i
\(122\) 5.13933 8.90157i 0.465293 0.805911i
\(123\) 0.205105 5.87343i 0.0184937 0.529589i
\(124\) 1.11493 + 1.65295i 0.100123 + 0.148439i
\(125\) −1.04445 9.93726i −0.0934183 0.888816i
\(126\) 7.70086 1.63687i 0.686047 0.145824i
\(127\) −7.82467 1.09969i −0.694327 0.0975813i −0.216823 0.976211i \(-0.569569\pi\)
−0.477504 + 0.878630i \(0.658458\pi\)
\(128\) −0.997564 0.0697565i −0.0881730 0.00616566i
\(129\) 0.493842 0.0345328i 0.0434803 0.00304044i
\(130\) −6.91943 + 0.972462i −0.606874 + 0.0852906i
\(131\) −18.4681 + 6.72186i −1.61357 + 0.587291i −0.982142 0.188143i \(-0.939753\pi\)
−0.631428 + 0.775435i \(0.717531\pi\)
\(132\) −2.51006 + 0.508573i −0.218472 + 0.0442656i
\(133\) 4.95802 + 13.3881i 0.429914 + 1.16090i
\(134\) 0.302869 + 0.932135i 0.0261639 + 0.0805242i
\(135\) −4.62128 1.32513i −0.397737 0.114049i
\(136\) −1.16168 2.38180i −0.0996133 0.204237i
\(137\) 7.02179 + 17.3795i 0.599912 + 1.48483i 0.855372 + 0.518014i \(0.173329\pi\)
−0.255460 + 0.966820i \(0.582227\pi\)
\(138\) −1.43699 + 0.897928i −0.122324 + 0.0764367i
\(139\) 8.53988 + 8.24687i 0.724344 + 0.699490i 0.962362 0.271770i \(-0.0876090\pi\)
−0.238019 + 0.971261i \(0.576498\pi\)
\(140\) 0.394447 3.75291i 0.0333369 0.317179i
\(141\) −4.85133 1.03118i −0.408555 0.0868411i
\(142\) −1.51093 0.549934i −0.126795 0.0461495i
\(143\) −3.30388 19.8413i −0.276284 1.65922i
\(144\) 1.20186 2.08169i 0.100155 0.173474i
\(145\) −4.73653 + 5.26045i −0.393348 + 0.436857i
\(146\) 0.445178 0.912750i 0.0368432 0.0755397i
\(147\) 2.87136 + 0.200785i 0.236825 + 0.0165604i
\(148\) 0.286009 + 0.707896i 0.0235098 + 0.0581887i
\(149\) 10.7133 + 5.69636i 0.877667 + 0.466664i 0.846215 0.532841i \(-0.178876\pi\)
0.0314520 + 0.999505i \(0.489987\pi\)
\(150\) 1.58583 2.35109i 0.129483 0.191966i
\(151\) 2.46303 + 1.78950i 0.200438 + 0.145627i 0.683477 0.729972i \(-0.260467\pi\)
−0.483039 + 0.875599i \(0.660467\pi\)
\(152\) 4.05059 + 1.61020i 0.328546 + 0.130604i
\(153\) 6.36985 0.514972
\(154\) 10.8287 + 0.861014i 0.872605 + 0.0693825i
\(155\) −0.398895 + 2.26225i −0.0320400 + 0.181708i
\(156\) −3.97153 2.48169i −0.317977 0.198694i
\(157\) −3.16739 12.7037i −0.252786 1.01387i −0.953733 0.300655i \(-0.902795\pi\)
0.700948 0.713213i \(-0.252761\pi\)
\(158\) −3.97938 3.84284i −0.316582 0.305720i
\(159\) −2.07333 + 0.440699i −0.164425 + 0.0349497i
\(160\) −0.770930 0.856204i −0.0609474 0.0676889i
\(161\) 6.90876 1.98105i 0.544486 0.156129i
\(162\) 2.23065 + 3.30708i 0.175257 + 0.259829i
\(163\) 4.13824 + 0.879611i 0.324132 + 0.0688964i 0.367104 0.930180i \(-0.380349\pi\)
−0.0429719 + 0.999076i \(0.513683\pi\)
\(164\) 3.80542 + 6.59118i 0.297153 + 0.514685i
\(165\) −2.48731 1.58741i −0.193637 0.123580i
\(166\) 6.83183 + 5.73258i 0.530253 + 0.444935i
\(167\) −3.06986 1.91826i −0.237553 0.148439i 0.405920 0.913909i \(-0.366951\pi\)
−0.643472 + 0.765469i \(0.722507\pi\)
\(168\) 1.81931 1.75689i 0.140363 0.135547i
\(169\) 13.2983 19.7156i 1.02295 1.51658i
\(170\) 0.943476 2.90372i 0.0723613 0.222705i
\(171\) −7.74695 + 7.05440i −0.592424 + 0.539464i
\(172\) −0.518658 + 0.376827i −0.0395473 + 0.0287328i
\(173\) 23.9318 + 6.86234i 1.81950 + 0.521734i 0.998770 0.0495775i \(-0.0157875\pi\)
0.820733 + 0.571312i \(0.193565\pi\)
\(174\) −4.69810 + 0.660275i −0.356162 + 0.0500553i
\(175\) −9.21458 + 7.73195i −0.696557 + 0.584480i
\(176\) 2.40763 2.28108i 0.181482 0.171943i
\(177\) 0.361783 + 2.05177i 0.0271933 + 0.154221i
\(178\) −8.68802 + 9.64902i −0.651194 + 0.723225i
\(179\) 6.46544 2.87860i 0.483250 0.215157i −0.150627 0.988591i \(-0.548129\pi\)
0.633877 + 0.773434i \(0.281463\pi\)
\(180\) 2.66214 0.763355i 0.198424 0.0568971i
\(181\) 8.50730 10.8888i 0.632343 0.809362i −0.359990 0.932956i \(-0.617220\pi\)
0.992333 + 0.123594i \(0.0394422\pi\)
\(182\) 13.2915 + 14.7617i 0.985233 + 1.09421i
\(183\) 7.25087 + 3.22829i 0.536000 + 0.238642i
\(184\) 0.961945 1.97228i 0.0709155 0.145398i
\(185\) −0.329521 + 0.815593i −0.0242269 + 0.0599636i
\(186\) −1.17940 + 0.989637i −0.0864780 + 0.0725637i
\(187\) 8.42508 + 2.50300i 0.616103 + 0.183038i
\(188\) 6.03557 2.19677i 0.440189 0.160216i
\(189\) 4.22327 + 12.9979i 0.307198 + 0.945458i
\(190\) 2.06833 + 4.57635i 0.150052 + 0.332003i
\(191\) −6.90086 + 5.01377i −0.499329 + 0.362784i −0.808761 0.588138i \(-0.799861\pi\)
0.309432 + 0.950922i \(0.399861\pi\)
\(192\) −0.0269490 0.771719i −0.00194488 0.0556940i
\(193\) 3.41148 + 1.81392i 0.245564 + 0.130568i 0.587692 0.809085i \(-0.300037\pi\)
−0.342128 + 0.939653i \(0.611148\pi\)
\(194\) 0.881216 3.53437i 0.0632676 0.253753i
\(195\) −1.30532 5.23534i −0.0934758 0.374911i
\(196\) −3.29122 + 1.74997i −0.235087 + 0.124998i
\(197\) 2.49182 + 4.31596i 0.177535 + 0.307500i 0.941036 0.338307i \(-0.109854\pi\)
−0.763501 + 0.645807i \(0.776521\pi\)
\(198\) 2.39118 + 7.60520i 0.169934 + 0.540478i
\(199\) 7.91205 + 2.87975i 0.560870 + 0.204140i 0.606870 0.794801i \(-0.292425\pi\)
−0.0459993 + 0.998941i \(0.514647\pi\)
\(200\) −0.128171 + 3.67034i −0.00906307 + 0.259532i
\(201\) −0.691395 + 0.307829i −0.0487672 + 0.0217126i
\(202\) −6.13576 2.73182i −0.431711 0.192210i
\(203\) 19.9273 + 2.80060i 1.39862 + 0.196564i
\(204\) 1.73536 1.08437i 0.121499 0.0759212i
\(205\) −2.12135 + 8.50826i −0.148161 + 0.594243i
\(206\) −11.7601 + 11.3566i −0.819368 + 0.791255i
\(207\) 3.24739 + 4.15647i 0.225709 + 0.288895i
\(208\) 6.06476 0.420515
\(209\) −13.0185 + 6.28638i −0.900509 + 0.434838i
\(210\) 2.91392 0.201080
\(211\) −10.9543 14.0208i −0.754122 0.965232i 0.245870 0.969303i \(-0.420927\pi\)
−0.999992 + 0.00407054i \(0.998704\pi\)
\(212\) 1.97457 1.90682i 0.135614 0.130961i
\(213\) 0.300371 1.20472i 0.0205811 0.0825462i
\(214\) 0.556928 0.348008i 0.0380708 0.0237893i
\(215\) −0.731442 0.102797i −0.0498839 0.00701073i
\(216\) 3.81195 + 1.69719i 0.259370 + 0.115479i
\(217\) 5.96575 2.65612i 0.404981 0.180309i
\(218\) 0.717976 20.5601i 0.0486275 1.39251i
\(219\) 0.736887 + 0.268205i 0.0497942 + 0.0181236i
\(220\) 3.82103 + 0.0364224i 0.257614 + 0.00245560i
\(221\) 8.03578 + 13.9184i 0.540545 + 0.936252i
\(222\) −0.520550 + 0.276781i −0.0349370 + 0.0185763i
\(223\) −0.319614 1.28190i −0.0214030 0.0858426i 0.958644 0.284606i \(-0.0918629\pi\)
−0.980047 + 0.198764i \(0.936307\pi\)
\(224\) −0.792365 + 3.17800i −0.0529421 + 0.212339i
\(225\) −7.79455 4.14443i −0.519636 0.276296i
\(226\) 0.399506 + 11.4404i 0.0265747 + 0.761001i
\(227\) 10.1279 7.35834i 0.672211 0.488390i −0.198553 0.980090i \(-0.563624\pi\)
0.870765 + 0.491700i \(0.163624\pi\)
\(228\) −0.909619 + 3.24065i −0.0602410 + 0.214618i
\(229\) −7.71052 23.7306i −0.509526 1.56816i −0.793027 0.609187i \(-0.791496\pi\)
0.283501 0.958972i \(-0.408504\pi\)
\(230\) 2.37573 0.864697i 0.156651 0.0570164i
\(231\) 0.212827 + 8.38553i 0.0140030 + 0.551727i
\(232\) 4.70652 3.94924i 0.308998 0.259280i
\(233\) 8.15628 20.1875i 0.534336 1.32253i −0.382756 0.923850i \(-0.625025\pi\)
0.917091 0.398677i \(-0.130531\pi\)
\(234\) −6.39058 + 13.1026i −0.417765 + 0.856545i
\(235\) 6.76031 + 3.00988i 0.440994 + 0.196343i
\(236\) −1.80537 2.00506i −0.117519 0.130518i
\(237\) 2.62995 3.36618i 0.170833 0.218657i
\(238\) −8.34327 + 2.39239i −0.540814 + 0.155076i
\(239\) 20.5395 9.14475i 1.32859 0.591525i 0.385081 0.922883i \(-0.374173\pi\)
0.943505 + 0.331358i \(0.107507\pi\)
\(240\) 0.595304 0.661152i 0.0384267 0.0426772i
\(241\) 4.10594 + 23.2860i 0.264487 + 1.49998i 0.770492 + 0.637450i \(0.220011\pi\)
−0.506005 + 0.862531i \(0.668878\pi\)
\(242\) 0.174266 + 10.9986i 0.0112022 + 0.707018i
\(243\) −11.9491 + 10.0265i −0.766533 + 0.643198i
\(244\) −10.1786 + 1.43051i −0.651620 + 0.0915791i
\(245\) −4.12827 1.18376i −0.263746 0.0756278i
\(246\) −4.75460 + 3.45442i −0.303142 + 0.220246i
\(247\) −25.1872 8.02804i −1.60262 0.510812i
\(248\) 0.616122 1.89623i 0.0391238 0.120411i
\(249\) −3.85095 + 5.70927i −0.244044 + 0.361810i
\(250\) −7.18764 + 6.94103i −0.454586 + 0.438989i
\(251\) −13.2938 8.30690i −0.839099 0.524327i 0.0409773 0.999160i \(-0.486953\pi\)
−0.880076 + 0.474833i \(0.842508\pi\)
\(252\) −6.03099 5.06060i −0.379917 0.318788i
\(253\) 2.66190 + 6.77361i 0.167352 + 0.425853i
\(254\) 3.95078 + 6.84296i 0.247894 + 0.429365i
\(255\) 2.30609 + 0.490175i 0.144413 + 0.0306960i
\(256\) 0.559193 + 0.829038i 0.0349496 + 0.0518148i
\(257\) 16.0562 4.60404i 1.00156 0.287192i 0.265500 0.964111i \(-0.414463\pi\)
0.736058 + 0.676919i \(0.236685\pi\)
\(258\) −0.331251 0.367892i −0.0206228 0.0229040i
\(259\) 2.44601 0.519916i 0.151988 0.0323060i
\(260\) 5.02634 + 4.85388i 0.311720 + 0.301025i
\(261\) 3.57277 + 14.3296i 0.221149 + 0.886981i
\(262\) 16.6670 + 10.4147i 1.02969 + 0.643423i
\(263\) 4.17836 23.6967i 0.257649 1.46120i −0.531532 0.847038i \(-0.678384\pi\)
0.789181 0.614161i \(-0.210505\pi\)
\(264\) 1.94611 + 1.66484i 0.119775 + 0.102464i
\(265\) 3.16259 0.194277
\(266\) 7.49751 12.1495i 0.459702 0.744934i
\(267\) −8.11131 5.89321i −0.496404 0.360659i
\(268\) 0.548067 0.812543i 0.0334785 0.0496340i
\(269\) −7.00900 3.72675i −0.427347 0.227224i 0.241844 0.970315i \(-0.422248\pi\)
−0.669190 + 0.743091i \(0.733359\pi\)
\(270\) 1.80093 + 4.45745i 0.109601 + 0.271272i
\(271\) −25.9952 1.81776i −1.57910 0.110421i −0.746913 0.664921i \(-0.768465\pi\)
−0.832184 + 0.554500i \(0.812909\pi\)
\(272\) −1.16168 + 2.38180i −0.0704372 + 0.144418i
\(273\) −10.2636 + 11.3988i −0.621179 + 0.689889i
\(274\) 9.37221 16.2332i 0.566196 0.980681i
\(275\) −8.68092 8.54447i −0.523479 0.515251i
\(276\) 1.59227 + 0.579540i 0.0958436 + 0.0348842i
\(277\) 16.3145 + 3.46775i 0.980242 + 0.208357i 0.670049 0.742317i \(-0.266273\pi\)
0.310193 + 0.950674i \(0.399606\pi\)
\(278\) 1.24094 11.8068i 0.0744269 0.708125i
\(279\) 3.44749 + 3.32920i 0.206396 + 0.199314i
\(280\) −3.20018 + 1.99970i −0.191247 + 0.119505i
\(281\) 5.22230 + 12.9256i 0.311536 + 0.771079i 0.998994 + 0.0448542i \(0.0142823\pi\)
−0.687457 + 0.726225i \(0.741273\pi\)
\(282\) 2.17419 + 4.45776i 0.129471 + 0.265455i
\(283\) 27.1815 + 7.79418i 1.61578 + 0.463316i 0.957255 0.289247i \(-0.0934048\pi\)
0.658521 + 0.752563i \(0.271183\pi\)
\(284\) 0.496868 + 1.52920i 0.0294837 + 0.0907416i
\(285\) −3.34750 + 1.95778i −0.198289 + 0.115969i
\(286\) −13.6011 + 14.8190i −0.804251 + 0.876268i
\(287\) 23.4244 8.52579i 1.38270 0.503261i
\(288\) −2.38033 + 0.334534i −0.140262 + 0.0197126i
\(289\) 9.95323 0.695998i 0.585484 0.0409411i
\(290\) 7.06140 + 0.493781i 0.414659 + 0.0289958i
\(291\) 2.78538 + 0.391459i 0.163282 + 0.0229477i
\(292\) −0.993335 + 0.211140i −0.0581306 + 0.0123560i
\(293\) −2.50425 23.8263i −0.146300 1.39195i −0.783568 0.621307i \(-0.786602\pi\)
0.637268 0.770642i \(-0.280065\pi\)
\(294\) −1.60956 2.38627i −0.0938716 0.139170i
\(295\) 0.108487 3.10666i 0.00631636 0.180877i
\(296\) 0.381745 0.661202i 0.0221885 0.0384316i
\(297\) −12.6959 + 5.50818i −0.736690 + 0.319617i
\(298\) −2.10697 11.9492i −0.122053 0.692200i
\(299\) −4.98536 + 12.3392i −0.288311 + 0.713595i
\(300\) −2.82902 + 0.197824i −0.163333 + 0.0114214i
\(301\) 0.920482 + 1.88727i 0.0530557 + 0.108780i
\(302\) −0.106251 3.04262i −0.00611403 0.175083i
\(303\) 1.60267 4.93252i 0.0920711 0.283366i
\(304\) −1.22494 4.18324i −0.0702550 0.239925i
\(305\) −9.58071 6.96080i −0.548590 0.398574i
\(306\) −3.92167 5.01951i −0.224187 0.286946i
\(307\) 1.98935 11.2821i 0.113538 0.643906i −0.873926 0.486060i \(-0.838434\pi\)
0.987464 0.157846i \(-0.0504551\pi\)
\(308\) −5.98835 9.06326i −0.341218 0.516427i
\(309\) −9.67066 8.11465i −0.550145 0.461626i
\(310\) 2.02826 1.07844i 0.115197 0.0612515i
\(311\) −2.89440 + 27.5384i −0.164126 + 1.56156i 0.533938 + 0.845524i \(0.320712\pi\)
−0.698064 + 0.716035i \(0.745955\pi\)
\(312\) 0.489521 + 4.65749i 0.0277137 + 0.263678i
\(313\) −16.3367 + 20.9100i −0.923403 + 1.18190i 0.0595839 + 0.998223i \(0.481023\pi\)
−0.982986 + 0.183678i \(0.941200\pi\)
\(314\) −8.06063 + 10.3171i −0.454888 + 0.582229i
\(315\) −0.948142 9.02097i −0.0534217 0.508274i
\(316\) −0.578250 + 5.50168i −0.0325291 + 0.309494i
\(317\) 1.69592 0.901739i 0.0952526 0.0506467i −0.421162 0.906986i \(-0.638378\pi\)
0.516414 + 0.856339i \(0.327266\pi\)
\(318\) 1.62374 + 1.36248i 0.0910550 + 0.0764042i
\(319\) −0.905227 + 20.3570i −0.0506830 + 1.13977i
\(320\) −0.200066 + 1.13463i −0.0111841 + 0.0634279i
\(321\) 0.312208 + 0.399609i 0.0174258 + 0.0223040i
\(322\) −5.81455 4.22452i −0.324032 0.235423i
\(323\) 7.97734 8.35397i 0.443871 0.464827i
\(324\) 1.23269 3.79382i 0.0684826 0.210768i
\(325\) −0.777327 22.2597i −0.0431184 1.23475i
\(326\) −1.85461 3.80252i −0.102718 0.210602i
\(327\) 15.8473 1.10815i 0.876357 0.0612809i
\(328\) 2.85107 7.05665i 0.157424 0.389638i
\(329\) −3.65303 20.7173i −0.201398 1.14218i
\(330\) 0.280446 + 2.93734i 0.0154381 + 0.161695i
\(331\) −15.9073 + 27.5522i −0.874343 + 1.51441i −0.0168829 + 0.999857i \(0.505374\pi\)
−0.857461 + 0.514550i \(0.827959\pi\)
\(332\) 0.311245 8.91288i 0.0170818 0.489158i
\(333\) 1.02624 + 1.52147i 0.0562378 + 0.0833759i
\(334\) 0.378384 + 3.60008i 0.0207042 + 0.196988i
\(335\) 1.10454 0.234777i 0.0603474 0.0128272i
\(336\) −2.50453 0.351989i −0.136633 0.0192026i
\(337\) −20.3538 1.42328i −1.10874 0.0775309i −0.496379 0.868106i \(-0.665337\pi\)
−0.612365 + 0.790575i \(0.709782\pi\)
\(338\) −23.7234 + 1.65890i −1.29038 + 0.0902322i
\(339\) −8.75348 + 1.23022i −0.475424 + 0.0668164i
\(340\) −2.86903 + 1.04424i −0.155595 + 0.0566319i
\(341\) 3.25163 + 5.75805i 0.176086 + 0.311816i
\(342\) 10.3284 + 1.76156i 0.558498 + 0.0952542i
\(343\) −3.31212 10.1937i −0.178838 0.550406i
\(344\) 0.616261 + 0.176710i 0.0332266 + 0.00952757i
\(345\) 0.855811 + 1.75467i 0.0460753 + 0.0944684i
\(346\) −9.32631 23.0834i −0.501385 1.24097i
\(347\) −4.00659 + 2.50360i −0.215085 + 0.134400i −0.633184 0.774002i \(-0.718252\pi\)
0.418098 + 0.908402i \(0.362697\pi\)
\(348\) 3.41274 + 3.29565i 0.182942 + 0.176665i
\(349\) 1.52274 14.4879i 0.0815105 0.775521i −0.875059 0.484016i \(-0.839178\pi\)
0.956569 0.291504i \(-0.0941558\pi\)
\(350\) 11.7659 + 2.50092i 0.628915 + 0.133680i
\(351\) −23.7802 8.65530i −1.26929 0.461986i
\(352\) −3.27980 0.492869i −0.174814 0.0262700i
\(353\) 2.42726 4.20414i 0.129190 0.223764i −0.794173 0.607692i \(-0.792096\pi\)
0.923363 + 0.383928i \(0.125429\pi\)
\(354\) 1.39408 1.54829i 0.0740947 0.0822905i
\(355\) −0.812092 + 1.66503i −0.0431014 + 0.0883709i
\(356\) 12.9524 + 0.905721i 0.686476 + 0.0480031i
\(357\) −2.51069 6.21419i −0.132880 0.328890i
\(358\) −6.24889 3.32259i −0.330264 0.175605i
\(359\) −5.73712 + 8.50563i −0.302794 + 0.448910i −0.949472 0.313853i \(-0.898380\pi\)
0.646678 + 0.762763i \(0.276158\pi\)
\(360\) −2.24051 1.62782i −0.118085 0.0857938i
\(361\) −0.450224 + 18.9947i −0.0236960 + 0.999719i
\(362\) −13.8181 −0.726266
\(363\) −8.43242 + 1.02159i −0.442587 + 0.0536196i
\(364\) 3.44932 19.5621i 0.180794 1.02533i
\(365\) −0.992238 0.620019i −0.0519361 0.0324533i
\(366\) −1.92015 7.70130i −0.100368 0.402553i
\(367\) 2.24608 + 2.16902i 0.117245 + 0.113222i 0.750970 0.660336i \(-0.229586\pi\)
−0.633726 + 0.773558i \(0.718475\pi\)
\(368\) −2.14641 + 0.456233i −0.111889 + 0.0237828i
\(369\) 12.2413 + 13.5954i 0.637257 + 0.707746i
\(370\) 0.845570 0.242463i 0.0439591 0.0126051i
\(371\) −5.02749 7.45356i −0.261014 0.386970i
\(372\) 1.50596 + 0.320101i 0.0780803 + 0.0165965i
\(373\) −2.67352 4.63068i −0.138430 0.239767i 0.788473 0.615070i \(-0.210872\pi\)
−0.926902 + 0.375302i \(0.877539\pi\)
\(374\) −3.21461 8.18006i −0.166223 0.422981i
\(375\) −5.91058 4.95956i −0.305221 0.256111i
\(376\) −5.44694 3.40363i −0.280905 0.175529i
\(377\) −26.8036 + 25.8839i −1.38046 + 1.33309i
\(378\) 7.64238 11.3303i 0.393082 0.582767i
\(379\) −1.35876 + 4.18183i −0.0697947 + 0.214806i −0.979870 0.199637i \(-0.936024\pi\)
0.910075 + 0.414443i \(0.136024\pi\)
\(380\) 2.33282 4.44735i 0.119671 0.228144i
\(381\) −4.93622 + 3.58637i −0.252890 + 0.183735i
\(382\) 8.19950 + 2.35117i 0.419523 + 0.120296i
\(383\) 33.5435 4.71423i 1.71399 0.240886i 0.787264 0.616616i \(-0.211497\pi\)
0.926729 + 0.375730i \(0.122608\pi\)
\(384\) −0.591531 + 0.496354i −0.0301865 + 0.0253294i
\(385\) 2.29069 12.3042i 0.116744 0.627078i
\(386\) −0.670931 3.80504i −0.0341495 0.193671i
\(387\) −1.03114 + 1.14520i −0.0524159 + 0.0582138i
\(388\) −3.32765 + 1.48156i −0.168936 + 0.0752151i
\(389\) −29.7485 + 8.53024i −1.50831 + 0.432500i −0.925068 0.379801i \(-0.875993\pi\)
−0.583239 + 0.812301i \(0.698215\pi\)
\(390\) −3.32187 + 4.25180i −0.168210 + 0.215298i
\(391\) −3.89102 4.32142i −0.196777 0.218543i
\(392\) 3.40528 + 1.51613i 0.171993 + 0.0765760i
\(393\) −6.65278 + 13.6402i −0.335588 + 0.688058i
\(394\) 1.86691 4.62075i 0.0940534 0.232790i
\(395\) −4.88247 + 4.09688i −0.245664 + 0.206136i
\(396\) 4.52082 6.56650i 0.227180 0.329979i
\(397\) −1.04816 + 0.381498i −0.0526055 + 0.0191468i −0.368189 0.929751i \(-0.620022\pi\)
0.315583 + 0.948898i \(0.397800\pi\)
\(398\) −2.60187 8.00773i −0.130420 0.401391i
\(399\) 9.93549 + 4.77713i 0.497397 + 0.239155i
\(400\) 2.97118 2.15869i 0.148559 0.107934i
\(401\) 1.01050 + 28.9370i 0.0504621 + 1.44505i 0.715696 + 0.698412i \(0.246110\pi\)
−0.665234 + 0.746635i \(0.731668\pi\)
\(402\) 0.668238 + 0.355308i 0.0333287 + 0.0177212i
\(403\) −2.92532 + 11.7328i −0.145721 + 0.584453i
\(404\) 1.62485 + 6.51692i 0.0808394 + 0.324229i
\(405\) 4.05798 2.15766i 0.201642 0.107215i
\(406\) −10.0616 17.4272i −0.499347 0.864895i
\(407\) 0.759506 + 2.41563i 0.0376473 + 0.119738i
\(408\) −1.92289 0.699874i −0.0951972 0.0346489i
\(409\) 0.717593 20.5492i 0.0354827 1.01609i −0.842881 0.538099i \(-0.819142\pi\)
0.878364 0.477992i \(-0.158635\pi\)
\(410\) 8.01063 3.56656i 0.395617 0.176140i
\(411\) 13.2229 + 5.88721i 0.652237 + 0.290394i
\(412\) 16.1894 + 2.27527i 0.797596 + 0.112095i
\(413\) −7.49419 + 4.68289i −0.368765 + 0.230430i
\(414\) 1.27605 5.11796i 0.0627145 0.251534i
\(415\) 7.39130 7.13770i 0.362825 0.350376i
\(416\) −3.73384 4.77909i −0.183066 0.234314i
\(417\) 9.16730 0.448925
\(418\) 12.9687 + 6.38844i 0.634321 + 0.312469i
\(419\) −37.5185 −1.83290 −0.916448 0.400153i \(-0.868957\pi\)
−0.916448 + 0.400153i \(0.868957\pi\)
\(420\) −1.79399 2.29620i −0.0875377 0.112043i
\(421\) 14.2275 13.7394i 0.693407 0.669616i −0.261946 0.965083i \(-0.584364\pi\)
0.955353 + 0.295467i \(0.0954752\pi\)
\(422\) −4.30443 + 17.2641i −0.209537 + 0.840405i
\(423\) 13.0929 8.18138i 0.636601 0.397792i
\(424\) −2.71827 0.382028i −0.132011 0.0185529i
\(425\) 8.89091 + 3.95849i 0.431272 + 0.192015i
\(426\) −1.13426 + 0.505005i −0.0549551 + 0.0244676i
\(427\) −1.17491 + 33.6451i −0.0568580 + 1.62820i
\(428\) −0.617113 0.224611i −0.0298293 0.0108570i
\(429\) −12.4782 9.24897i −0.602455 0.446544i
\(430\) 0.369315 + 0.639673i 0.0178100 + 0.0308478i
\(431\) −35.0546 + 18.6389i −1.68852 + 0.897802i −0.706814 + 0.707400i \(0.749868\pi\)
−0.981706 + 0.190402i \(0.939021\pi\)
\(432\) −1.00947 4.04875i −0.0485680 0.194796i
\(433\) 4.88700 19.6007i 0.234854 0.941950i −0.730899 0.682486i \(-0.760899\pi\)
0.965753 0.259463i \(-0.0835457\pi\)
\(434\) −5.76593 3.06580i −0.276774 0.147163i
\(435\) 0.190762 + 5.46272i 0.00914635 + 0.261917i
\(436\) −16.6436 + 12.0923i −0.797086 + 0.579117i
\(437\) 9.51805 + 0.946489i 0.455310 + 0.0452767i
\(438\) −0.242325 0.745799i −0.0115787 0.0356356i
\(439\) 35.3366 12.8615i 1.68652 0.613844i 0.692343 0.721569i \(-0.256579\pi\)
0.994181 + 0.107724i \(0.0343564\pi\)
\(440\) −2.32376 3.03344i −0.110781 0.144613i
\(441\) −6.86374 + 5.75937i −0.326845 + 0.274255i
\(442\) 6.02051 14.9013i 0.286367 0.708782i
\(443\) −3.56054 + 7.30019i −0.169166 + 0.346842i −0.966488 0.256712i \(-0.917361\pi\)
0.797321 + 0.603555i \(0.206250\pi\)
\(444\) 0.538589 + 0.239795i 0.0255603 + 0.0113802i
\(445\) 10.0098 + 11.1170i 0.474509 + 0.526996i
\(446\) −0.813379 + 1.04108i −0.0385146 + 0.0492965i
\(447\) 9.00644 2.58256i 0.425990 0.122151i
\(448\) 2.99213 1.33218i 0.141365 0.0629397i
\(449\) 0.0316659 0.0351686i 0.00149441 0.00165971i −0.742397 0.669960i \(-0.766311\pi\)
0.743892 + 0.668300i \(0.232978\pi\)
\(450\) 1.53294 + 8.69376i 0.0722637 + 0.409828i
\(451\) 10.8487 + 22.7921i 0.510847 + 1.07324i
\(452\) 8.76916 7.35820i 0.412467 0.346101i
\(453\) 2.32803 0.327183i 0.109380 0.0153724i
\(454\) −12.0338 3.45064i −0.564774 0.161946i
\(455\) 18.5151 13.4520i 0.868000 0.630639i
\(456\) 3.11369 1.27836i 0.145812 0.0598645i
\(457\) 12.0867 37.1989i 0.565391 1.74009i −0.101398 0.994846i \(-0.532332\pi\)
0.666788 0.745247i \(-0.267668\pi\)
\(458\) −13.9529 + 20.6860i −0.651974 + 0.966591i
\(459\) 7.95418 7.68127i 0.371269 0.358531i
\(460\) −2.14404 1.33974i −0.0999663 0.0624659i
\(461\) −6.67280 5.59915i −0.310783 0.260778i 0.474032 0.880507i \(-0.342798\pi\)
−0.784816 + 0.619729i \(0.787242\pi\)
\(462\) 6.47686 5.33035i 0.301331 0.247991i
\(463\) −3.71324 6.43153i −0.172569 0.298898i 0.766748 0.641948i \(-0.221873\pi\)
−0.939317 + 0.343050i \(0.888540\pi\)
\(464\) −6.00966 1.27739i −0.278992 0.0593015i
\(465\) 0.991914 + 1.47057i 0.0459989 + 0.0681962i
\(466\) −20.9295 + 6.00143i −0.969539 + 0.278011i
\(467\) −5.87075 6.52012i −0.271666 0.301715i 0.591839 0.806056i \(-0.298402\pi\)
−0.863505 + 0.504341i \(0.831736\pi\)
\(468\) 14.2594 3.03094i 0.659143 0.140105i
\(469\) −2.30917 2.22994i −0.106628 0.102969i
\(470\) −1.79024 7.18027i −0.0825777 0.331201i
\(471\) −8.57375 5.35748i −0.395058 0.246859i
\(472\) −0.468516 + 2.65709i −0.0215652 + 0.122302i
\(473\) −1.81384 + 1.10952i −0.0834005 + 0.0510156i
\(474\) −4.27174 −0.196208
\(475\) −15.1969 + 5.03212i −0.697283 + 0.230889i
\(476\) 7.02186 + 5.10168i 0.321847 + 0.233835i
\(477\) 3.68966 5.47014i 0.168938 0.250460i
\(478\) −19.8515 10.5552i −0.907987 0.482785i
\(479\) −4.00972 9.92440i −0.183209 0.453457i 0.807431 0.589962i \(-0.200857\pi\)
−0.990639 + 0.136505i \(0.956413\pi\)
\(480\) −0.887500 0.0620601i −0.0405087 0.00283264i
\(481\) −2.02983 + 4.16176i −0.0925522 + 0.189760i
\(482\) 15.8217 17.5718i 0.720659 0.800373i
\(483\) 2.77493 4.80632i 0.126264 0.218695i
\(484\) 8.55974 6.90875i 0.389079 0.314034i
\(485\) −3.94364 1.43537i −0.179071 0.0651767i
\(486\) 15.2575 + 3.24309i 0.692096 + 0.147110i
\(487\) 3.49722 33.2738i 0.158474 1.50778i −0.569395 0.822064i \(-0.692823\pi\)
0.727869 0.685716i \(-0.240511\pi\)
\(488\) 7.39384 + 7.14015i 0.334704 + 0.323220i
\(489\) 2.77048 1.73119i 0.125286 0.0782872i
\(490\) 1.60880 + 3.98192i 0.0726782 + 0.179885i
\(491\) 10.1137 + 20.7362i 0.456425 + 0.935811i 0.995608 + 0.0936217i \(0.0298444\pi\)
−0.539183 + 0.842189i \(0.681267\pi\)
\(492\) 5.64934 + 1.61992i 0.254692 + 0.0730318i
\(493\) −5.03121 15.4845i −0.226594 0.697386i
\(494\) 9.18060 + 24.7903i 0.413055 + 1.11537i
\(495\) 9.00220 1.82397i 0.404619 0.0819814i
\(496\) −1.87357 + 0.681924i −0.0841259 + 0.0306193i
\(497\) 5.21509 0.732933i 0.233929 0.0328766i
\(498\) 6.86985 0.480387i 0.307845 0.0215266i
\(499\) −10.4006 0.727280i −0.465595 0.0325575i −0.164967 0.986299i \(-0.552752\pi\)
−0.300628 + 0.953742i \(0.597196\pi\)
\(500\) 9.89476 + 1.39062i 0.442507 + 0.0621903i
\(501\) −2.73417 + 0.581166i −0.122154 + 0.0259646i
\(502\) 1.63857 + 15.5899i 0.0731328 + 0.695812i
\(503\) 9.51162 + 14.1016i 0.424102 + 0.628757i 0.979169 0.203049i \(-0.0650850\pi\)
−0.555067 + 0.831806i \(0.687307\pi\)
\(504\) −0.274760 + 7.86810i −0.0122388 + 0.350473i
\(505\) −3.86912 + 6.70152i −0.172174 + 0.298214i
\(506\) 3.69885 6.26785i 0.164434 0.278640i
\(507\) −3.18881 18.0847i −0.141620 0.803168i
\(508\) 2.95998 7.32620i 0.131328 0.325048i
\(509\) 13.0087 0.909656i 0.576600 0.0403198i 0.221520 0.975156i \(-0.428898\pi\)
0.355080 + 0.934836i \(0.384454\pi\)
\(510\) −1.03351 2.11901i −0.0457646 0.0938312i
\(511\) 0.116081 + 3.32412i 0.00513512 + 0.147051i
\(512\) 0.309017 0.951057i 0.0136568 0.0420312i
\(513\) −1.16705 + 18.1509i −0.0515267 + 0.801381i
\(514\) −13.5132 9.81792i −0.596042 0.433050i
\(515\) 11.5964 + 14.8428i 0.511000 + 0.654050i
\(516\) −0.0859641 + 0.487527i −0.00378436 + 0.0214622i
\(517\) 20.5322 5.67629i 0.903006 0.249643i
\(518\) −1.91561 1.60739i −0.0841672 0.0706247i
\(519\) 16.9743 9.02542i 0.745091 0.396172i
\(520\) 0.730385 6.94915i 0.0320295 0.304740i
\(521\) −1.62309 15.4426i −0.0711087 0.676554i −0.970778 0.239981i \(-0.922859\pi\)
0.899669 0.436573i \(-0.143808\pi\)
\(522\) 9.09227 11.6376i 0.397958 0.509363i
\(523\) −14.0229 + 17.9485i −0.613180 + 0.784835i −0.989942 0.141475i \(-0.954815\pi\)
0.376762 + 0.926310i \(0.377038\pi\)
\(524\) −2.05434 19.5457i −0.0897442 0.853859i
\(525\) −0.970912 + 9.23761i −0.0423741 + 0.403162i
\(526\) −21.2457 + 11.2965i −0.926356 + 0.492552i
\(527\) −4.04747 3.39623i −0.176310 0.147942i
\(528\) 0.113772 2.55853i 0.00495129 0.111346i
\(529\) −3.15775 + 17.9085i −0.137294 + 0.778631i
\(530\) −1.94709 2.49216i −0.0845761 0.108252i
\(531\) −5.24683 3.81204i −0.227693 0.165429i
\(532\) −14.1899 + 1.57187i −0.615209 + 0.0681490i
\(533\) −14.2636 + 43.8988i −0.617824 + 1.90147i
\(534\) 0.349907 + 10.0200i 0.0151420 + 0.433609i
\(535\) −0.331684 0.680054i −0.0143400 0.0294013i
\(536\) −0.977717 + 0.0683686i −0.0422309 + 0.00295307i
\(537\) 2.04723 5.06708i 0.0883446 0.218661i
\(538\) 1.37845 + 7.81759i 0.0594293 + 0.337040i
\(539\) −11.3414 + 4.92055i −0.488511 + 0.211943i
\(540\) 2.40376 4.16343i 0.103441 0.179166i
\(541\) 1.09306 31.3013i 0.0469945 1.34575i −0.715437 0.698677i \(-0.753772\pi\)
0.762432 0.647069i \(-0.224005\pi\)
\(542\) 14.5718 + 21.6036i 0.625914 + 0.927956i
\(543\) −1.11534 10.6118i −0.0478639 0.455395i
\(544\) 2.59208 0.550964i 0.111135 0.0236224i
\(545\) −23.4719 3.29875i −1.00542 0.141303i
\(546\) 15.3013 + 1.06997i 0.654835 + 0.0457905i
\(547\) −43.1108 + 3.01460i −1.84329 + 0.128895i −0.948335 0.317270i \(-0.897234\pi\)
−0.894950 + 0.446165i \(0.852789\pi\)
\(548\) −18.5620 + 2.60872i −0.792930 + 0.111439i
\(549\) −23.2170 + 8.45031i −0.990879 + 0.360650i
\(550\) −1.38862 + 12.1012i −0.0592111 + 0.515995i
\(551\) 23.2675 + 13.2602i 0.991228 + 0.564903i
\(552\) −0.523617 1.61153i −0.0222866 0.0685912i
\(553\) 17.4170 + 4.99424i 0.740646 + 0.212377i
\(554\) −7.31157 14.9909i −0.310639 0.636904i
\(555\) 0.254453 + 0.629792i 0.0108009 + 0.0267332i
\(556\) −10.0679 + 6.29111i −0.426974 + 0.266803i
\(557\) 14.5982 + 14.0973i 0.618546 + 0.597323i 0.936450 0.350800i \(-0.114090\pi\)
−0.317905 + 0.948123i \(0.602979\pi\)
\(558\) 0.500961 4.76632i 0.0212074 0.201775i
\(559\) −3.80313 0.808380i −0.160855 0.0341908i
\(560\) 3.54601 + 1.29064i 0.149846 + 0.0545396i
\(561\) 6.02248 3.12895i 0.254269 0.132104i
\(562\) 6.97037 12.0730i 0.294028 0.509271i
\(563\) −4.13642 + 4.59396i −0.174329 + 0.193612i −0.823977 0.566623i \(-0.808250\pi\)
0.649648 + 0.760235i \(0.274916\pi\)
\(564\) 2.17419 4.45776i 0.0915500 0.187705i
\(565\) 13.1568 + 0.920010i 0.553509 + 0.0387051i
\(566\) −10.5927 26.2179i −0.445246 1.10202i
\(567\) −11.5360 6.13381i −0.484467 0.257596i
\(568\) 0.899126 1.33301i 0.0377265 0.0559318i
\(569\) −10.1507 7.37489i −0.425538 0.309172i 0.354324 0.935123i \(-0.384711\pi\)
−0.779862 + 0.625951i \(0.784711\pi\)
\(570\) 3.60368 + 1.43254i 0.150941 + 0.0600025i
\(571\) 36.1939 1.51467 0.757333 0.653029i \(-0.226502\pi\)
0.757333 + 0.653029i \(0.226502\pi\)
\(572\) 20.0512 + 1.59431i 0.838385 + 0.0666615i
\(573\) −1.14377 + 6.48666i −0.0477818 + 0.270984i
\(574\) −21.1399 13.2097i −0.882363 0.551362i
\(575\) 1.94964 + 7.81958i 0.0813056 + 0.326099i
\(576\) 1.72909 + 1.66977i 0.0720456 + 0.0695736i
\(577\) 17.9353 3.81226i 0.746656 0.158707i 0.181155 0.983454i \(-0.442016\pi\)
0.565501 + 0.824748i \(0.308683\pi\)
\(578\) −6.67628 7.41476i −0.277696 0.308413i
\(579\) 2.86796 0.822374i 0.119188 0.0341767i
\(580\) −3.95832 5.86846i −0.164360 0.243674i
\(581\) −28.5718 6.07312i −1.18536 0.251955i
\(582\) −1.40637 2.43591i −0.0582961 0.100972i
\(583\) 7.02959 5.78525i 0.291136 0.239600i
\(584\) 0.777939 + 0.652768i 0.0321913 + 0.0270117i
\(585\) 14.2437 + 8.90045i 0.588904 + 0.367988i
\(586\) −17.2336 + 16.6423i −0.711915 + 0.687488i
\(587\) 7.01705 10.4032i 0.289625 0.429386i −0.655944 0.754810i \(-0.727729\pi\)
0.945568 + 0.325423i \(0.105507\pi\)
\(588\) −0.889464 + 2.73749i −0.0366809 + 0.112892i
\(589\) 8.68370 0.351976i 0.357806 0.0145029i
\(590\) −2.51487 + 1.82716i −0.103536 + 0.0752231i
\(591\) 3.69924 + 1.06074i 0.152166 + 0.0436330i
\(592\) −0.756061 + 0.106257i −0.0310739 + 0.00436715i
\(593\) −18.7180 + 15.7063i −0.768657 + 0.644979i −0.940365 0.340168i \(-0.889516\pi\)
0.171708 + 0.985148i \(0.445071\pi\)
\(594\) 12.1569 + 6.61332i 0.498802 + 0.271348i
\(595\) 1.73648 + 9.84805i 0.0711886 + 0.403731i
\(596\) −8.11893 + 9.01699i −0.332564 + 0.369350i
\(597\) 5.93960 2.64448i 0.243092 0.108231i
\(598\) 12.7927 3.66826i 0.523134 0.150006i
\(599\) 7.00280 8.96318i 0.286127 0.366225i −0.623377 0.781921i \(-0.714240\pi\)
0.909504 + 0.415696i \(0.136462\pi\)
\(600\) 1.89761 + 2.10750i 0.0774694 + 0.0860385i
\(601\) −10.7195 4.77264i −0.437258 0.194680i 0.176288 0.984339i \(-0.443591\pi\)
−0.613546 + 0.789659i \(0.710258\pi\)
\(602\) 0.920482 1.88727i 0.0375160 0.0769193i
\(603\) 0.882536 2.18435i 0.0359396 0.0889537i
\(604\) −2.33220 + 1.95695i −0.0948959 + 0.0796271i
\(605\) 12.6235 + 1.12490i 0.513218 + 0.0457336i
\(606\) −4.87358 + 1.77384i −0.197976 + 0.0720572i
\(607\) 12.7594 + 39.2693i 0.517887 + 1.59389i 0.777968 + 0.628304i \(0.216251\pi\)
−0.260081 + 0.965587i \(0.583749\pi\)
\(608\) −2.54229 + 3.54073i −0.103104 + 0.143595i
\(609\) 12.5712 9.13352i 0.509411 0.370109i
\(610\) 0.413294 + 11.8352i 0.0167338 + 0.479193i
\(611\) 34.3938 + 18.2875i 1.39143 + 0.739834i
\(612\) −1.54101 + 6.18064i −0.0622915 + 0.249838i
\(613\) 6.37436 + 25.5661i 0.257458 + 1.03261i 0.950255 + 0.311474i \(0.100823\pi\)
−0.692797 + 0.721133i \(0.743622\pi\)
\(614\) −10.1152 + 5.37836i −0.408217 + 0.217053i
\(615\) 3.38556 + 5.86396i 0.136519 + 0.236458i
\(616\) −3.45515 + 10.2988i −0.139212 + 0.414950i
\(617\) −13.0165 4.73761i −0.524024 0.190729i 0.0664441 0.997790i \(-0.478835\pi\)
−0.590468 + 0.807061i \(0.701057\pi\)
\(618\) −0.440577 + 12.6165i −0.0177226 + 0.507509i
\(619\) 12.2217 5.44147i 0.491233 0.218711i −0.146144 0.989263i \(-0.546686\pi\)
0.637377 + 0.770552i \(0.280020\pi\)
\(620\) −2.09855 0.934334i −0.0842797 0.0375237i
\(621\) 9.06729 + 1.27433i 0.363858 + 0.0511369i
\(622\) 23.4825 14.6735i 0.941563 0.588354i
\(623\) 10.2881 41.2633i 0.412184 1.65318i
\(624\) 3.36877 3.25318i 0.134859 0.130232i
\(625\) −4.21775 5.39847i −0.168710 0.215939i
\(626\) 26.5351 1.06056
\(627\) −3.85928 + 10.4751i −0.154125 + 0.418335i
\(628\) 13.0926 0.522453
\(629\) −1.24563 1.59434i −0.0496667 0.0635705i
\(630\) −6.52488 + 6.30101i −0.259958 + 0.251038i
\(631\) 1.98492 7.96109i 0.0790185 0.316926i −0.917759 0.397137i \(-0.870004\pi\)
0.996778 + 0.0802108i \(0.0255594\pi\)
\(632\) 4.69139 2.93151i 0.186614 0.116609i
\(633\) −13.6056 1.91214i −0.540774 0.0760008i
\(634\) −1.75470 0.781241i −0.0696879 0.0310270i
\(635\) 8.31663 3.70280i 0.330035 0.146941i
\(636\) 0.0739746 2.11835i 0.00293328 0.0839982i
\(637\) −21.2433 7.73193i −0.841690 0.306350i
\(638\) 16.5988 11.8197i 0.657154 0.467945i
\(639\) 1.93247 + 3.34714i 0.0764475 + 0.132411i
\(640\) 1.01728 0.540895i 0.0402114 0.0213808i
\(641\) 9.26320 + 37.1526i 0.365874 + 1.46744i 0.817861 + 0.575417i \(0.195160\pi\)
−0.451986 + 0.892025i \(0.649284\pi\)
\(642\) 0.122681 0.492047i 0.00484184 0.0194196i
\(643\) 27.9972 + 14.8864i 1.10410 + 0.587062i 0.918444 0.395552i \(-0.129447\pi\)
0.185660 + 0.982614i \(0.440558\pi\)
\(644\) 0.250829 + 7.18280i 0.00988404 + 0.283042i
\(645\) −0.461433 + 0.335251i −0.0181689 + 0.0132005i
\(646\) −11.4944 1.14302i −0.452239 0.0449713i
\(647\) 5.36744 + 16.5193i 0.211016 + 0.649440i 0.999413 + 0.0342729i \(0.0109115\pi\)
−0.788397 + 0.615167i \(0.789088\pi\)
\(648\) −3.74849 + 1.36434i −0.147255 + 0.0535963i
\(649\) −5.44179 7.10371i −0.213609 0.278845i
\(650\) −17.0623 + 14.3170i −0.669240 + 0.561559i
\(651\) 1.88901 4.67546i 0.0740361 0.183246i
\(652\) −1.85461 + 3.80252i −0.0726323 + 0.148918i
\(653\) −3.20666 1.42770i −0.125486 0.0558701i 0.343033 0.939323i \(-0.388546\pi\)
−0.468519 + 0.883453i \(0.655212\pi\)
\(654\) −10.6298 11.8056i −0.415658 0.461635i
\(655\) 13.9407 17.8432i 0.544707 0.697193i
\(656\) −7.31601 + 2.09783i −0.285642 + 0.0819066i
\(657\) −2.23001 + 0.992863i −0.0870009 + 0.0387353i
\(658\) −14.0765 + 15.6335i −0.548757 + 0.609457i
\(659\) 7.40403 + 41.9903i 0.288420 + 1.63571i 0.692807 + 0.721123i \(0.256374\pi\)
−0.404387 + 0.914588i \(0.632515\pi\)
\(660\) 2.14199 2.02940i 0.0833769 0.0789943i
\(661\) −11.3569 + 9.52959i −0.441733 + 0.370658i −0.836357 0.548184i \(-0.815319\pi\)
0.394624 + 0.918843i \(0.370875\pi\)
\(662\) 31.5050 4.42773i 1.22447 0.172089i
\(663\) 11.9295 + 3.42074i 0.463305 + 0.132850i
\(664\) −7.21507 + 5.24205i −0.279999 + 0.203431i
\(665\) −13.0183 10.0540i −0.504827 0.389878i
\(666\) 0.567115 1.74540i 0.0219752 0.0676328i
\(667\) 7.53903 11.1771i 0.291912 0.432778i
\(668\) 2.60394 2.51460i 0.100750 0.0972928i
\(669\) −0.865158 0.540611i −0.0334489 0.0209012i
\(670\) −0.865028 0.725845i −0.0334190 0.0280418i
\(671\) −34.0285 + 2.05377i −1.31366 + 0.0792851i
\(672\) 1.26457 + 2.19030i 0.0487820 + 0.0844928i
\(673\) 22.8664 + 4.86040i 0.881434 + 0.187355i 0.626329 0.779559i \(-0.284557\pi\)
0.255105 + 0.966913i \(0.417890\pi\)
\(674\) 11.4095 + 16.9153i 0.439478 + 0.651553i
\(675\) −14.7309 + 4.22402i −0.566993 + 0.162583i
\(676\) 15.9128 + 17.6729i 0.612030 + 0.679728i
\(677\) −39.6170 + 8.42085i −1.52260 + 0.323639i −0.891846 0.452340i \(-0.850589\pi\)
−0.630758 + 0.775979i \(0.717256\pi\)
\(678\) 6.35861 + 6.14043i 0.244201 + 0.235822i
\(679\) 2.88624 + 11.5761i 0.110764 + 0.444249i
\(680\) 2.58922 + 1.61793i 0.0992921 + 0.0620446i
\(681\) 1.67863 9.51998i 0.0643252 0.364807i
\(682\) 2.53550 6.10733i 0.0970894 0.233862i
\(683\) −34.7278 −1.32882 −0.664411 0.747367i \(-0.731318\pi\)
−0.664411 + 0.747367i \(0.731318\pi\)
\(684\) −4.97070 9.22345i −0.190059 0.352667i
\(685\) −17.4716 12.6939i −0.667557 0.485009i
\(686\) −5.99357 + 8.88584i −0.228836 + 0.339263i
\(687\) −17.0122 9.04554i −0.649055 0.345109i
\(688\) −0.240159 0.594414i −0.00915597 0.0226618i
\(689\) 16.6071 + 1.16128i 0.632680 + 0.0442413i
\(690\) 0.855811 1.75467i 0.0325802 0.0667992i
\(691\) 23.8662 26.5061i 0.907914 1.00834i −0.0920066 0.995758i \(-0.529328\pi\)
0.999921 0.0125825i \(-0.00400524\pi\)
\(692\) −12.4481 + 21.5608i −0.473207 + 0.819619i
\(693\) −18.6093 18.3167i −0.706907 0.695796i
\(694\) 4.43957 + 1.61587i 0.168524 + 0.0613376i
\(695\) −13.3791 2.84381i −0.507498 0.107872i
\(696\) 0.495911 4.71828i 0.0187975 0.178846i
\(697\) −14.5081 14.0103i −0.549535 0.530679i
\(698\) −12.3541 + 7.71972i −0.467611 + 0.292196i
\(699\) −6.29819 15.5886i −0.238219 0.589614i
\(700\) −5.27307 10.8114i −0.199303 0.408632i
\(701\) −49.0737 14.0717i −1.85349 0.531479i −0.999945 0.0104559i \(-0.996672\pi\)
−0.853543 0.521023i \(-0.825550\pi\)
\(702\) 7.82011 + 24.0678i 0.295151 + 0.908381i
\(703\) 3.28061 + 0.559521i 0.123730 + 0.0211027i
\(704\) 1.63086 + 2.88796i 0.0614653 + 0.108844i
\(705\) 5.36965 1.95439i 0.202233 0.0736067i
\(706\) −4.80728 + 0.675619i −0.180924 + 0.0254273i
\(707\) 21.9447 1.53452i 0.825315 0.0577116i
\(708\) −2.07835 0.145332i −0.0781092 0.00546193i
\(709\) 50.2016 + 7.05537i 1.88536 + 0.264970i 0.985304 0.170807i \(-0.0546376\pi\)
0.900055 + 0.435777i \(0.143526\pi\)
\(710\) 1.81204 0.385161i 0.0680046 0.0144548i
\(711\) 1.38995 + 13.2245i 0.0521273 + 0.495959i
\(712\) −7.26058 10.7643i −0.272102 0.403408i
\(713\) 0.152690 4.37248i 0.00571830 0.163751i
\(714\) −3.35111 + 5.80429i −0.125412 + 0.217220i
\(715\) 15.3420 + 17.3692i 0.573759 + 0.649570i
\(716\) 1.22896 + 6.96979i 0.0459284 + 0.260473i
\(717\) 6.50366 16.0971i 0.242884 0.601158i
\(718\) 10.2347 0.715677i 0.381954 0.0267088i
\(719\) 12.6138 + 25.8622i 0.470416 + 0.964496i 0.993672 + 0.112321i \(0.0358284\pi\)
−0.523256 + 0.852176i \(0.675283\pi\)
\(720\) 0.0966513 + 2.76773i 0.00360198 + 0.103147i
\(721\) 16.5467 50.9255i 0.616231 1.89656i
\(722\) 15.2452 11.3395i 0.567367 0.422013i
\(723\) 14.7715 + 10.7321i 0.549357 + 0.399131i
\(724\) 8.50730 + 10.8888i 0.316171 + 0.404681i
\(725\) −3.91821 + 22.2213i −0.145519 + 0.825277i
\(726\) 5.99654 + 6.01589i 0.222553 + 0.223270i
\(727\) 0.0174446 + 0.0146378i 0.000646986 + 0.000542885i 0.643111 0.765773i \(-0.277643\pi\)
−0.642464 + 0.766316i \(0.722088\pi\)
\(728\) −17.5387 + 9.32552i −0.650029 + 0.345627i
\(729\) −0.00812539 + 0.0773079i −0.000300940 + 0.00286326i
\(730\) 0.122301 + 1.16362i 0.00452656 + 0.0430674i
\(731\) 1.04595 1.33875i 0.0386858 0.0495155i
\(732\) −4.88654 + 6.25449i −0.180612 + 0.231173i
\(733\) −3.63270 34.5628i −0.134177 1.27661i −0.829743 0.558145i \(-0.811513\pi\)
0.695567 0.718462i \(-0.255153\pi\)
\(734\) 0.326382 3.10532i 0.0120470 0.114619i
\(735\) −2.92810 + 1.55690i −0.108004 + 0.0574270i
\(736\) 1.68098 + 1.41051i 0.0619617 + 0.0519920i
\(737\) 2.02562 2.54235i 0.0746146 0.0936485i
\(738\) 3.17678 18.0164i 0.116939 0.663194i
\(739\) 21.3298 + 27.3009i 0.784630 + 1.00428i 0.999617 + 0.0276640i \(0.00880684\pi\)
−0.214987 + 0.976617i \(0.568971\pi\)
\(740\) −0.711648 0.517043i −0.0261607 0.0190069i
\(741\) −18.2969 + 9.05130i −0.672155 + 0.332508i
\(742\) −2.77825 + 8.55059i −0.101993 + 0.313902i
\(743\) −1.58912 45.5065i −0.0582992 1.66947i −0.578694 0.815545i \(-0.696437\pi\)
0.520395 0.853926i \(-0.325785\pi\)
\(744\) −0.674917 1.38378i −0.0247437 0.0507320i
\(745\) −13.9455 + 0.975162i −0.510922 + 0.0357272i
\(746\) −2.00304 + 4.95769i −0.0733364 + 0.181514i
\(747\) −3.72253 21.1115i −0.136200 0.772429i
\(748\) −4.46687 + 7.56929i −0.163325 + 0.276761i
\(749\) −1.07547 + 1.86277i −0.0392969 + 0.0680642i
\(750\) −0.269275 + 7.71101i −0.00983251 + 0.281566i
\(751\) −4.53510 6.72356i −0.165488 0.245346i 0.737167 0.675710i \(-0.236163\pi\)
−0.902655 + 0.430364i \(0.858385\pi\)
\(752\) 0.671378 + 6.38773i 0.0244826 + 0.232937i
\(753\) −11.8402 + 2.51670i −0.431479 + 0.0917138i
\(754\) 36.8988 + 5.18579i 1.34377 + 0.188855i
\(755\) −3.49910 0.244681i −0.127345 0.00890486i
\(756\) −13.6335 + 0.953348i −0.495846 + 0.0346729i
\(757\) −13.4491 + 1.89014i −0.488815 + 0.0686985i −0.379275 0.925284i \(-0.623827\pi\)
−0.109540 + 0.993982i \(0.534938\pi\)
\(758\) 4.13186 1.50387i 0.150076 0.0546231i
\(759\) 5.11201 + 2.33465i 0.185554 + 0.0847424i
\(760\) −4.94079 + 0.899772i −0.179221 + 0.0326382i
\(761\) −7.69175 23.6728i −0.278826 0.858138i −0.988182 0.153287i \(-0.951014\pi\)
0.709356 0.704850i \(-0.248986\pi\)
\(762\) 5.86514 + 1.68180i 0.212472 + 0.0609253i
\(763\) 29.5381 + 60.5621i 1.06935 + 2.19250i
\(764\) −3.19537 7.90882i −0.115604 0.286131i
\(765\) −6.22377 + 3.88905i −0.225021 + 0.140609i
\(766\) −24.3663 23.5303i −0.880391 0.850183i
\(767\) 1.71042 16.2735i 0.0617596 0.587604i
\(768\) 0.755315 + 0.160547i 0.0272551 + 0.00579325i
\(769\) 11.7952 + 4.29310i 0.425346 + 0.154813i 0.545818 0.837904i \(-0.316219\pi\)
−0.120473 + 0.992717i \(0.538441\pi\)
\(770\) −11.1061 + 5.77010i −0.400236 + 0.207940i
\(771\) 6.44903 11.17