Properties

Label 648.2.bb.b.155.101
Level $648$
Weight $2$
Character 648.155
Analytic conductor $5.174$
Analytic rank $0$
Dimension $1872$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 648 = 2^{3} \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 648.bb (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.17430605098\)
Analytic rank: \(0\)
Dimension: \(1872\)
Relative dimension: \(104\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 155.101
Character \(\chi\) \(=\) 648.155
Dual form 648.2.bb.b.347.101

$q$-expansion

\(f(q)\) \(=\) \(q+(1.40044 + 0.196930i) q^{2} +(-0.739739 + 1.56614i) q^{3} +(1.92244 + 0.551575i) q^{4} +(-0.405895 + 0.266961i) q^{5} +(-1.34438 + 2.04760i) q^{6} +(0.678333 + 0.639974i) q^{7} +(2.58363 + 1.15103i) q^{8} +(-1.90557 - 2.31707i) q^{9} +O(q^{10})\) \(q+(1.40044 + 0.196930i) q^{2} +(-0.739739 + 1.56614i) q^{3} +(1.92244 + 0.551575i) q^{4} +(-0.405895 + 0.266961i) q^{5} +(-1.34438 + 2.04760i) q^{6} +(0.678333 + 0.639974i) q^{7} +(2.58363 + 1.15103i) q^{8} +(-1.90557 - 2.31707i) q^{9} +(-0.621002 + 0.293929i) q^{10} +(1.65746 + 3.30027i) q^{11} +(-2.28594 + 2.60278i) q^{12} +(-1.97624 + 0.852466i) q^{13} +(0.823931 + 1.02983i) q^{14} +(-0.117842 - 0.833168i) q^{15} +(3.39153 + 2.12074i) q^{16} +(-0.154421 - 0.184032i) q^{17} +(-2.21233 - 3.62017i) q^{18} +(2.97832 + 2.49911i) q^{19} +(-0.927556 + 0.289335i) q^{20} +(-1.50408 + 0.588948i) q^{21} +(1.67124 + 4.94822i) q^{22} +(-0.582884 - 0.617821i) q^{23} +(-3.71388 + 3.19485i) q^{24} +(-1.88692 + 4.37436i) q^{25} +(-2.93547 + 0.804643i) q^{26} +(5.03847 - 1.27036i) q^{27} +(0.951059 + 1.60446i) q^{28} +(-7.65039 + 0.894202i) q^{29} +(-0.000953789 - 1.19000i) q^{30} +(-2.31766 - 9.77897i) q^{31} +(4.33198 + 3.63785i) q^{32} +(-6.39477 + 0.154467i) q^{33} +(-0.180016 - 0.288135i) q^{34} +(-0.446180 - 0.0786735i) q^{35} +(-2.38531 - 5.50548i) q^{36} +(6.33859 - 1.11766i) q^{37} +(3.67880 + 4.08636i) q^{38} +(0.126822 - 3.72566i) q^{39} +(-1.35596 + 0.222531i) q^{40} +(6.78971 + 5.05475i) q^{41} +(-2.22234 + 0.528587i) q^{42} +(0.111122 - 1.90789i) q^{43} +(1.36602 + 7.25878i) q^{44} +(1.39203 + 0.431771i) q^{45} +(-0.694625 - 0.980006i) q^{46} +(-6.25000 - 1.48128i) q^{47} +(-5.83021 + 3.74281i) q^{48} +(-0.356445 - 6.11993i) q^{49} +(-3.50395 + 5.75442i) q^{50} +(0.402451 - 0.105709i) q^{51} +(-4.26939 + 0.548770i) q^{52} +(0.422453 + 0.731710i) q^{53} +(7.30622 - 0.786834i) q^{54} +(-1.55380 - 0.897086i) q^{55} +(1.01593 + 2.43424i) q^{56} +(-6.11714 + 2.81577i) q^{57} +(-10.8900 - 0.254316i) q^{58} +(1.02372 - 2.03839i) q^{59} +(0.233012 - 1.66671i) q^{60} +(3.82294 - 1.14451i) q^{61} +(-1.31996 - 14.1512i) q^{62} +(0.190251 - 2.79126i) q^{63} +(5.35026 + 5.94766i) q^{64} +(0.574569 - 0.873590i) q^{65} +(-8.98588 - 1.04300i) q^{66} +(13.3990 + 1.56612i) q^{67} +(-0.195358 - 0.438965i) q^{68} +(1.39878 - 0.455850i) q^{69} +(-0.609353 - 0.198043i) q^{70} +(4.03859 + 1.46993i) q^{71} +(-2.25628 - 8.17981i) q^{72} +(-1.45888 + 0.530988i) q^{73} +(9.09688 - 0.316960i) q^{74} +(-5.45503 - 6.19106i) q^{75} +(4.34720 + 6.44715i) q^{76} +(-0.987780 + 3.29942i) q^{77} +(0.911300 - 5.19257i) q^{78} +(12.3816 - 9.21773i) q^{79} +(-1.94276 + 0.0446119i) q^{80} +(-1.73759 + 8.83067i) q^{81} +(8.51312 + 8.41595i) q^{82} +(3.38952 - 2.52340i) q^{83} +(-3.21634 + 0.302606i) q^{84} +(0.111808 + 0.0334732i) q^{85} +(0.531341 - 2.65000i) q^{86} +(4.25885 - 12.6430i) q^{87} +(0.483547 + 10.4345i) q^{88} +(-3.16548 - 8.69708i) q^{89} +(1.86442 + 0.878800i) q^{90} +(-1.88610 - 0.686485i) q^{91} +(-0.779784 - 1.50923i) q^{92} +(17.0297 + 3.60412i) q^{93} +(-8.46101 - 3.30524i) q^{94} +(-1.87605 - 0.219279i) q^{95} +(-8.90190 + 4.09342i) q^{96} +(-13.0559 - 8.58702i) q^{97} +(0.706017 - 8.64075i) q^{98} +(4.48855 - 10.1294i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} + O(q^{10}) \) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} - 18q^{10} - 36q^{11} - 18q^{12} - 18q^{14} - 18q^{16} - 36q^{17} - 90q^{18} - 36q^{19} - 18q^{20} - 18q^{22} - 18q^{24} - 36q^{25} - 27q^{26} - 36q^{27} - 9q^{28} - 18q^{30} - 18q^{32} - 36q^{33} - 18q^{34} - 36q^{35} - 18q^{36} + 90q^{38} - 18q^{40} - 36q^{41} - 63q^{42} - 36q^{43} + 54q^{44} - 18q^{46} + 81q^{48} - 36q^{49} - 135q^{50} - 54q^{51} - 18q^{52} - 144q^{54} + 108q^{56} - 36q^{57} - 18q^{58} + 18q^{59} + 99q^{60} - 117q^{62} - 18q^{64} - 36q^{65} - 90q^{66} - 36q^{67} + 243q^{68} - 18q^{70} - 18q^{72} - 36q^{73} - 18q^{74} - 36q^{75} - 54q^{76} - 45q^{78} - 36q^{81} - 36q^{82} - 36q^{83} + 9q^{84} - 18q^{86} + 54q^{88} - 198q^{89} - 81q^{90} - 36q^{91} - 108q^{92} - 18q^{94} - 423q^{96} - 36q^{97} - 189q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).

\(n\) \(325\) \(487\) \(569\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{43}{54}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.40044 + 0.196930i 0.990257 + 0.139250i
\(3\) −0.739739 + 1.56614i −0.427089 + 0.904210i
\(4\) 1.92244 + 0.551575i 0.961219 + 0.275787i
\(5\) −0.405895 + 0.266961i −0.181522 + 0.119389i −0.637018 0.770849i \(-0.719832\pi\)
0.455496 + 0.890238i \(0.349462\pi\)
\(6\) −1.34438 + 2.04760i −0.548839 + 0.835928i
\(7\) 0.678333 + 0.639974i 0.256386 + 0.241887i 0.803693 0.595044i \(-0.202866\pi\)
−0.547307 + 0.836932i \(0.684347\pi\)
\(8\) 2.58363 + 1.15103i 0.913450 + 0.406950i
\(9\) −1.90557 2.31707i −0.635190 0.772356i
\(10\) −0.621002 + 0.293929i −0.196378 + 0.0929485i
\(11\) 1.65746 + 3.30027i 0.499743 + 0.995070i 0.992191 + 0.124728i \(0.0398059\pi\)
−0.492448 + 0.870342i \(0.663898\pi\)
\(12\) −2.28594 + 2.60278i −0.659895 + 0.751358i
\(13\) −1.97624 + 0.852466i −0.548110 + 0.236431i −0.652082 0.758149i \(-0.726104\pi\)
0.103972 + 0.994580i \(0.466845\pi\)
\(14\) 0.823931 + 1.02983i 0.220205 + 0.275233i
\(15\) −0.117842 0.833168i −0.0304265 0.215123i
\(16\) 3.39153 + 2.12074i 0.847883 + 0.530184i
\(17\) −0.154421 0.184032i −0.0374527 0.0446344i 0.746993 0.664832i \(-0.231497\pi\)
−0.784446 + 0.620198i \(0.787052\pi\)
\(18\) −2.21233 3.62017i −0.521451 0.853281i
\(19\) 2.97832 + 2.49911i 0.683275 + 0.573335i 0.916961 0.398977i \(-0.130635\pi\)
−0.233687 + 0.972312i \(0.575079\pi\)
\(20\) −0.927556 + 0.289335i −0.207408 + 0.0646972i
\(21\) −1.50408 + 0.588948i −0.328216 + 0.128519i
\(22\) 1.67124 + 4.94822i 0.356310 + 1.05496i
\(23\) −0.582884 0.617821i −0.121540 0.128825i 0.663746 0.747958i \(-0.268966\pi\)
−0.785286 + 0.619133i \(0.787484\pi\)
\(24\) −3.71388 + 3.19485i −0.758093 + 0.652147i
\(25\) −1.88692 + 4.37436i −0.377383 + 0.874873i
\(26\) −2.93547 + 0.804643i −0.575693 + 0.157803i
\(27\) 5.03847 1.27036i 0.969654 0.244481i
\(28\) 0.951059 + 1.60446i 0.179733 + 0.303215i
\(29\) −7.65039 + 0.894202i −1.42064 + 0.166049i −0.791465 0.611214i \(-0.790681\pi\)
−0.629176 + 0.777263i \(0.716607\pi\)
\(30\) −0.000953789 1.19000i −0.000174137 0.217264i
\(31\) −2.31766 9.77897i −0.416264 1.75636i −0.627203 0.778856i \(-0.715800\pi\)
0.210939 0.977499i \(-0.432348\pi\)
\(32\) 4.33198 + 3.63785i 0.765794 + 0.643086i
\(33\) −6.39477 + 0.154467i −1.11319 + 0.0268893i
\(34\) −0.180016 0.288135i −0.0308724 0.0494148i
\(35\) −0.446180 0.0786735i −0.0754182 0.0132983i
\(36\) −2.38531 5.50548i −0.397551 0.917580i
\(37\) 6.33859 1.11766i 1.04206 0.183743i 0.373674 0.927560i \(-0.378098\pi\)
0.668383 + 0.743817i \(0.266987\pi\)
\(38\) 3.67880 + 4.08636i 0.596780 + 0.662896i
\(39\) 0.126822 3.72566i 0.0203078 0.596583i
\(40\) −1.35596 + 0.222531i −0.214396 + 0.0351853i
\(41\) 6.78971 + 5.05475i 1.06037 + 0.789420i 0.978297 0.207206i \(-0.0664371\pi\)
0.0820776 + 0.996626i \(0.473844\pi\)
\(42\) −2.22234 + 0.528587i −0.342915 + 0.0815627i
\(43\) 0.111122 1.90789i 0.0169460 0.290951i −0.979179 0.203000i \(-0.934931\pi\)
0.996125 0.0879515i \(-0.0280320\pi\)
\(44\) 1.36602 + 7.25878i 0.205935 + 1.09430i
\(45\) 1.39203 + 0.431771i 0.207511 + 0.0643647i
\(46\) −0.694625 0.980006i −0.102417 0.144494i
\(47\) −6.25000 1.48128i −0.911656 0.216066i −0.252082 0.967706i \(-0.581115\pi\)
−0.659574 + 0.751639i \(0.729263\pi\)
\(48\) −5.83021 + 3.74281i −0.841518 + 0.540228i
\(49\) −0.356445 6.11993i −0.0509207 0.874275i
\(50\) −3.50395 + 5.75442i −0.495533 + 0.813798i
\(51\) 0.402451 0.105709i 0.0563544 0.0148022i
\(52\) −4.26939 + 0.548770i −0.592058 + 0.0761006i
\(53\) 0.422453 + 0.731710i 0.0580284 + 0.100508i 0.893580 0.448903i \(-0.148185\pi\)
−0.835552 + 0.549412i \(0.814852\pi\)
\(54\) 7.30622 0.786834i 0.994251 0.107075i
\(55\) −1.55380 0.897086i −0.209514 0.120963i
\(56\) 1.01593 + 2.43424i 0.135759 + 0.325288i
\(57\) −6.11714 + 2.81577i −0.810234 + 0.372958i
\(58\) −10.8900 0.254316i −1.42992 0.0333934i
\(59\) 1.02372 2.03839i 0.133277 0.265376i −0.817088 0.576512i \(-0.804413\pi\)
0.950365 + 0.311136i \(0.100710\pi\)
\(60\) 0.233012 1.66671i 0.0300817 0.215172i
\(61\) 3.82294 1.14451i 0.489477 0.146540i −0.0325475 0.999470i \(-0.510362\pi\)
0.522025 + 0.852930i \(0.325177\pi\)
\(62\) −1.31996 14.1512i −0.167635 1.79721i
\(63\) 0.190251 2.79126i 0.0239693 0.351666i
\(64\) 5.35026 + 5.94766i 0.668783 + 0.743458i
\(65\) 0.574569 0.873590i 0.0712665 0.108355i
\(66\) −8.98588 1.04300i −1.10609 0.128384i
\(67\) 13.3990 + 1.56612i 1.63695 + 0.191332i 0.884245 0.467022i \(-0.154673\pi\)
0.752708 + 0.658355i \(0.228747\pi\)
\(68\) −0.195358 0.438965i −0.0236906 0.0532323i
\(69\) 1.39878 0.455850i 0.168393 0.0548779i
\(70\) −0.609353 0.198043i −0.0728316 0.0236707i
\(71\) 4.03859 + 1.46993i 0.479292 + 0.174448i 0.570357 0.821397i \(-0.306805\pi\)
−0.0910650 + 0.995845i \(0.529027\pi\)
\(72\) −2.25628 8.17981i −0.265905 0.963999i
\(73\) −1.45888 + 0.530988i −0.170749 + 0.0621474i −0.425980 0.904733i \(-0.640071\pi\)
0.255231 + 0.966880i \(0.417848\pi\)
\(74\) 9.09688 0.316960i 1.05749 0.0368458i
\(75\) −5.45503 6.19106i −0.629892 0.714882i
\(76\) 4.34720 + 6.44715i 0.498658 + 0.739539i
\(77\) −0.987780 + 3.29942i −0.112568 + 0.376003i
\(78\) 0.911300 5.19257i 0.103184 0.587943i
\(79\) 12.3816 9.21773i 1.39303 1.03708i 0.400347 0.916364i \(-0.368890\pi\)
0.992688 0.120712i \(-0.0385177\pi\)
\(80\) −1.94276 + 0.0446119i −0.217207 + 0.00498776i
\(81\) −1.73759 + 8.83067i −0.193066 + 0.981186i
\(82\) 8.51312 + 8.41595i 0.940117 + 0.929386i
\(83\) 3.38952 2.52340i 0.372048 0.276979i −0.394854 0.918744i \(-0.629205\pi\)
0.766902 + 0.641765i \(0.221797\pi\)
\(84\) −3.21634 + 0.302606i −0.350932 + 0.0330170i
\(85\) 0.111808 + 0.0334732i 0.0121273 + 0.00363068i
\(86\) 0.531341 2.65000i 0.0572959 0.285757i
\(87\) 4.25885 12.6430i 0.456596 1.35548i
\(88\) 0.483547 + 10.4345i 0.0515463 + 1.11232i
\(89\) −3.16548 8.69708i −0.335540 0.921889i −0.986643 0.162899i \(-0.947915\pi\)
0.651103 0.758990i \(-0.274307\pi\)
\(90\) 1.86442 + 0.878800i 0.196527 + 0.0926336i
\(91\) −1.88610 0.686485i −0.197717 0.0719632i
\(92\) −0.779784 1.50923i −0.0812981 0.157348i
\(93\) 17.0297 + 3.60412i 1.76589 + 0.373730i
\(94\) −8.46101 3.30524i −0.872687 0.340910i
\(95\) −1.87605 0.219279i −0.192479 0.0224976i
\(96\) −8.90190 + 4.09342i −0.908547 + 0.417783i
\(97\) −13.0559 8.58702i −1.32563 0.871880i −0.328275 0.944582i \(-0.606467\pi\)
−0.997354 + 0.0727024i \(0.976838\pi\)
\(98\) 0.706017 8.64075i 0.0713185 0.872848i
\(99\) 4.48855 10.1294i 0.451116 1.01804i
\(100\) −6.04027 + 7.36867i −0.604027 + 0.736867i
\(101\) 0.830535 + 2.77418i 0.0826413 + 0.276041i 0.989315 0.145790i \(-0.0465725\pi\)
−0.906674 + 0.421832i \(0.861387\pi\)
\(102\) 0.584424 0.0687842i 0.0578666 0.00681065i
\(103\) 3.31799 6.60666i 0.326931 0.650973i −0.668783 0.743458i \(-0.733185\pi\)
0.995714 + 0.0924844i \(0.0294808\pi\)
\(104\) −6.08707 0.0722537i −0.596887 0.00708506i
\(105\) 0.453270 0.640581i 0.0442347 0.0625143i
\(106\) 0.447523 + 1.10791i 0.0434673 + 0.107609i
\(107\) −1.51259 0.873295i −0.146228 0.0844246i 0.425101 0.905146i \(-0.360239\pi\)
−0.571329 + 0.820721i \(0.693572\pi\)
\(108\) 10.3868 + 0.336902i 0.999474 + 0.0324184i
\(109\) −2.00876 + 1.15976i −0.192405 + 0.111085i −0.593108 0.805123i \(-0.702099\pi\)
0.400703 + 0.916208i \(0.368766\pi\)
\(110\) −1.99933 1.56230i −0.190629 0.148960i
\(111\) −2.93849 + 10.7539i −0.278909 + 1.02071i
\(112\) 0.943371 + 3.60906i 0.0891402 + 0.341024i
\(113\) 2.27675 0.132606i 0.214179 0.0124745i 0.0492799 0.998785i \(-0.484307\pi\)
0.164899 + 0.986311i \(0.447270\pi\)
\(114\) −9.12116 + 2.73866i −0.854275 + 0.256499i
\(115\) 0.401524 + 0.0951629i 0.0374423 + 0.00887399i
\(116\) −15.2006 2.50071i −1.41134 0.232185i
\(117\) 5.74108 + 2.95464i 0.530763 + 0.273157i
\(118\) 1.83507 2.65304i 0.168932 0.244232i
\(119\) 0.0130267 0.223661i 0.00119416 0.0205029i
\(120\) 0.654543 2.28824i 0.0597513 0.208886i
\(121\) −1.57589 + 2.11679i −0.143263 + 0.192435i
\(122\) 5.57917 0.849966i 0.505114 0.0769523i
\(123\) −12.9391 + 6.89442i −1.16668 + 0.621649i
\(124\) 0.938278 20.0778i 0.0842598 1.80304i
\(125\) −0.823703 4.67145i −0.0736742 0.417827i
\(126\) 0.816115 3.87151i 0.0727053 0.344902i
\(127\) 20.5189 + 3.61803i 1.82075 + 0.321048i 0.976602 0.215056i \(-0.0689934\pi\)
0.844152 + 0.536104i \(0.180104\pi\)
\(128\) 6.32142 + 9.38294i 0.558740 + 0.829343i
\(129\) 2.90582 + 1.58538i 0.255844 + 0.139585i
\(130\) 0.976683 1.11026i 0.0856607 0.0973759i
\(131\) 2.63919 + 11.1356i 0.230587 + 0.972922i 0.958010 + 0.286733i \(0.0925694\pi\)
−0.727424 + 0.686189i \(0.759282\pi\)
\(132\) −12.3787 3.23024i −1.07743 0.281156i
\(133\) 0.420929 + 3.60128i 0.0364992 + 0.312271i
\(134\) 18.4561 + 4.83192i 1.59436 + 0.417415i
\(135\) −1.70595 + 1.86071i −0.146825 + 0.160144i
\(136\) −0.187141 0.653214i −0.0160472 0.0560126i
\(137\) 1.64802 + 0.710887i 0.140800 + 0.0607352i 0.465314 0.885146i \(-0.345941\pi\)
−0.324514 + 0.945881i \(0.605201\pi\)
\(138\) 2.04867 0.362928i 0.174394 0.0308945i
\(139\) −10.6595 11.2984i −0.904126 0.958318i 0.0951840 0.995460i \(-0.469656\pi\)
−0.999310 + 0.0371421i \(0.988175\pi\)
\(140\) −0.814359 0.397346i −0.0688259 0.0335819i
\(141\) 6.94325 8.69260i 0.584727 0.732049i
\(142\) 5.36631 + 2.85385i 0.450330 + 0.239490i
\(143\) −6.08890 5.10920i −0.509180 0.427253i
\(144\) −1.54892 11.8996i −0.129077 0.991635i
\(145\) 2.86653 2.40531i 0.238053 0.199750i
\(146\) −2.14763 + 0.456318i −0.177739 + 0.0377651i
\(147\) 9.84832 + 3.96891i 0.812276 + 0.327350i
\(148\) 12.8020 + 1.34756i 1.05232 + 0.110769i
\(149\) −3.38982 7.85849i −0.277705 0.643793i 0.721091 0.692840i \(-0.243641\pi\)
−0.998796 + 0.0490472i \(0.984382\pi\)
\(150\) −6.42021 9.74443i −0.524208 0.795630i
\(151\) −8.24400 16.4151i −0.670887 1.33585i −0.929125 0.369765i \(-0.879438\pi\)
0.258239 0.966081i \(-0.416858\pi\)
\(152\) 4.81833 + 9.88491i 0.390818 + 0.801772i
\(153\) −0.132154 + 0.708491i −0.0106840 + 0.0572781i
\(154\) −2.03307 + 4.42609i −0.163830 + 0.356665i
\(155\) 3.55133 + 3.35051i 0.285250 + 0.269119i
\(156\) 2.29879 7.09240i 0.184050 0.567846i
\(157\) −2.17823 3.31184i −0.173842 0.264313i 0.738049 0.674748i \(-0.235748\pi\)
−0.911890 + 0.410434i \(0.865377\pi\)
\(158\) 19.1548 10.4705i 1.52388 0.832991i
\(159\) −1.45846 + 0.120345i −0.115664 + 0.00954396i
\(160\) −2.72949 0.320111i −0.215785 0.0253070i
\(161\) 0.792119i 0.0624278i
\(162\) −4.17241 + 12.0246i −0.327816 + 0.944742i
\(163\) 16.7882 1.31495 0.657475 0.753476i \(-0.271625\pi\)
0.657475 + 0.753476i \(0.271625\pi\)
\(164\) 10.2647 + 13.4625i 0.801540 + 1.05124i
\(165\) 2.55437 1.76985i 0.198857 0.137783i
\(166\) 5.24373 2.86637i 0.406993 0.222473i
\(167\) −17.3272 + 11.3963i −1.34082 + 0.881870i −0.998337 0.0576551i \(-0.981638\pi\)
−0.342481 + 0.939525i \(0.611267\pi\)
\(168\) −4.56387 0.209613i −0.352110 0.0161720i
\(169\) −5.74232 + 6.08651i −0.441717 + 0.468193i
\(170\) 0.149988 + 0.0688954i 0.0115036 + 0.00528403i
\(171\) 0.115196 11.6632i 0.00880928 0.891908i
\(172\) 1.26597 3.60652i 0.0965294 0.274994i
\(173\) −15.4431 + 7.75583i −1.17412 + 0.589664i −0.925430 0.378919i \(-0.876296\pi\)
−0.248689 + 0.968583i \(0.580000\pi\)
\(174\) 8.45403 16.8671i 0.640898 1.27869i
\(175\) −4.07944 + 1.75970i −0.308376 + 0.133021i
\(176\) −1.37768 + 14.7080i −0.103847 + 1.10866i
\(177\) 2.43512 + 3.11117i 0.183035 + 0.233850i
\(178\) −2.72033 12.8031i −0.203898 0.959631i
\(179\) −6.52494 7.77612i −0.487697 0.581215i 0.464933 0.885346i \(-0.346078\pi\)
−0.952630 + 0.304131i \(0.901634\pi\)
\(180\) 2.43793 + 1.59786i 0.181713 + 0.119098i
\(181\) 0.335615 0.399970i 0.0249461 0.0297295i −0.753427 0.657531i \(-0.771601\pi\)
0.778373 + 0.627802i \(0.216045\pi\)
\(182\) −2.50617 1.33281i −0.185770 0.0987943i
\(183\) −1.03551 + 6.83389i −0.0765474 + 0.505176i
\(184\) −0.794826 2.26714i −0.0585953 0.167136i
\(185\) −2.27443 + 2.14581i −0.167219 + 0.157763i
\(186\) 23.1392 + 8.40098i 1.69665 + 0.615990i
\(187\) 0.351409 0.814659i 0.0256976 0.0595737i
\(188\) −11.1982 6.29500i −0.816713 0.459110i
\(189\) 4.23076 + 2.36276i 0.307742 + 0.171866i
\(190\) −2.58411 0.676536i −0.187471 0.0490811i
\(191\) −3.91819 + 0.457971i −0.283510 + 0.0331376i −0.256660 0.966502i \(-0.582622\pi\)
−0.0268507 + 0.999639i \(0.508548\pi\)
\(192\) −13.2727 + 3.97953i −0.957871 + 0.287198i
\(193\) −1.48159 + 0.351142i −0.106647 + 0.0252758i −0.283593 0.958945i \(-0.591526\pi\)
0.176946 + 0.984221i \(0.443378\pi\)
\(194\) −16.5929 14.5967i −1.19130 1.04798i
\(195\) 0.943130 + 1.54608i 0.0675390 + 0.110717i
\(196\) 2.69035 11.9618i 0.192168 0.854413i
\(197\) −0.494678 + 2.80546i −0.0352444 + 0.199881i −0.997346 0.0728113i \(-0.976803\pi\)
0.962101 + 0.272692i \(0.0879140\pi\)
\(198\) 8.28069 13.3016i 0.588483 0.945302i
\(199\) 12.3977 2.18605i 0.878852 0.154965i 0.284023 0.958818i \(-0.408331\pi\)
0.594829 + 0.803852i \(0.297220\pi\)
\(200\) −9.91011 + 9.12983i −0.700751 + 0.645577i
\(201\) −12.3646 + 19.8262i −0.872129 + 1.39843i
\(202\) 0.616792 + 4.04862i 0.0433973 + 0.284860i
\(203\) −5.76177 4.28948i −0.404397 0.301063i
\(204\) 0.831994 + 0.0187626i 0.0582512 + 0.00131364i
\(205\) −4.10533 0.239108i −0.286729 0.0167000i
\(206\) 5.94767 8.59878i 0.414394 0.599106i
\(207\) −0.320805 + 2.52789i −0.0222975 + 0.175700i
\(208\) −8.51032 1.29991i −0.590085 0.0901327i
\(209\) −3.31130 + 13.9715i −0.229047 + 0.966427i
\(210\) 0.760925 0.807830i 0.0525088 0.0557455i
\(211\) 0.569526 + 9.77839i 0.0392078 + 0.673172i 0.959460 + 0.281846i \(0.0909466\pi\)
−0.920252 + 0.391326i \(0.872016\pi\)
\(212\) 0.408547 + 1.63968i 0.0280591 + 0.112614i
\(213\) −5.28961 + 5.23762i −0.362438 + 0.358876i
\(214\) −1.94631 1.52087i −0.133047 0.103964i
\(215\) 0.464230 + 0.804070i 0.0316602 + 0.0548371i
\(216\) 14.4798 + 2.51729i 0.985222 + 0.171280i
\(217\) 4.68614 8.11664i 0.318116 0.550993i
\(218\) −3.04153 + 1.22858i −0.205999 + 0.0832101i
\(219\) 0.247589 2.67760i 0.0167305 0.180935i
\(220\) −2.49227 2.58163i −0.168029 0.174053i
\(221\) 0.462054 + 0.232052i 0.0310811 + 0.0156095i
\(222\) −6.23292 + 14.4814i −0.418326 + 0.971930i
\(223\) −21.5637 + 6.45575i −1.44401 + 0.432309i −0.910509 0.413488i \(-0.864310\pi\)
−0.533504 + 0.845798i \(0.679125\pi\)
\(224\) 0.610400 + 5.24003i 0.0407841 + 0.350114i
\(225\) 13.7313 3.96355i 0.915423 0.264237i
\(226\) 3.21455 + 0.262654i 0.213829 + 0.0174715i
\(227\) −7.54329 + 11.4690i −0.500666 + 0.761225i −0.994089 0.108564i \(-0.965375\pi\)
0.493424 + 0.869789i \(0.335745\pi\)
\(228\) −13.3129 + 2.03909i −0.881670 + 0.135042i
\(229\) 0.374671 3.20551i 0.0247589 0.211826i −0.975196 0.221344i \(-0.928956\pi\)
0.999955 + 0.00951790i \(0.00302969\pi\)
\(230\) 0.543568 + 0.212342i 0.0358418 + 0.0140014i
\(231\) −4.43664 3.98771i −0.291909 0.262372i
\(232\) −20.7950 6.49553i −1.36526 0.426453i
\(233\) −3.65202 + 10.0338i −0.239252 + 0.657338i 0.760714 + 0.649087i \(0.224849\pi\)
−0.999966 + 0.00825163i \(0.997373\pi\)
\(234\) 7.45816 + 5.26837i 0.487555 + 0.344404i
\(235\) 2.93229 1.06726i 0.191281 0.0696207i
\(236\) 3.09236 3.35403i 0.201296 0.218329i
\(237\) 5.27710 + 26.2099i 0.342785 + 1.70252i
\(238\) 0.0622885 0.310657i 0.00403757 0.0201369i
\(239\) −5.36658 + 17.9256i −0.347135 + 1.15951i 0.589077 + 0.808077i \(0.299491\pi\)
−0.936212 + 0.351435i \(0.885694\pi\)
\(240\) 1.36727 3.07563i 0.0882567 0.198531i
\(241\) −10.5179 14.1280i −0.677520 0.910067i 0.321805 0.946806i \(-0.395710\pi\)
−0.999325 + 0.0367387i \(0.988303\pi\)
\(242\) −2.62379 + 2.65409i −0.168664 + 0.170611i
\(243\) −12.5447 9.25371i −0.804741 0.593626i
\(244\) 7.98065 0.0916184i 0.510909 0.00586527i
\(245\) 1.77846 + 2.38889i 0.113622 + 0.152620i
\(246\) −19.4780 + 7.10711i −1.24187 + 0.453133i
\(247\) −8.01628 2.39992i −0.510064 0.152703i
\(248\) 5.26792 27.9329i 0.334513 1.77374i
\(249\) 1.44464 + 7.17511i 0.0915500 + 0.454704i
\(250\) −0.233595 6.70427i −0.0147738 0.424015i
\(251\) −3.22211 8.85267i −0.203378 0.558776i 0.795509 0.605941i \(-0.207203\pi\)
−0.998887 + 0.0471656i \(0.984981\pi\)
\(252\) 1.90533 5.26108i 0.120025 0.331417i
\(253\) 1.07287 2.94769i 0.0674509 0.185320i
\(254\) 28.0228 + 9.10758i 1.75831 + 0.571461i
\(255\) −0.135133 + 0.150346i −0.00846233 + 0.00941501i
\(256\) 7.00497 + 14.3851i 0.437810 + 0.899067i
\(257\) 1.02413 8.76197i 0.0638833 0.546557i −0.922962 0.384891i \(-0.874239\pi\)
0.986846 0.161666i \(-0.0516867\pi\)
\(258\) 3.75721 + 2.79246i 0.233914 + 0.173851i
\(259\) 5.01495 + 3.29838i 0.311614 + 0.204952i
\(260\) 1.58642 1.36250i 0.0983858 0.0844989i
\(261\) 16.6503 + 16.0225i 1.03063 + 0.991767i
\(262\) 1.50308 + 16.1144i 0.0928605 + 0.995552i
\(263\) 2.65265 + 8.86047i 0.163569 + 0.546360i 0.999999 0.00171513i \(-0.000545942\pi\)
−0.836429 + 0.548075i \(0.815361\pi\)
\(264\) −16.6995 6.96148i −1.02778 0.428450i
\(265\) −0.366810 0.184219i −0.0225329 0.0113165i
\(266\) −0.119715 + 5.12625i −0.00734019 + 0.314311i
\(267\) 15.9625 + 1.47600i 0.976886 + 0.0903297i
\(268\) 24.8950 + 10.4013i 1.52070 + 0.635363i
\(269\) 7.50663 13.0019i 0.457687 0.792738i −0.541151 0.840925i \(-0.682011\pi\)
0.998838 + 0.0481878i \(0.0153446\pi\)
\(270\) −2.75550 + 2.26985i −0.167695 + 0.138139i
\(271\) 3.93492 2.27183i 0.239029 0.138004i −0.375701 0.926741i \(-0.622598\pi\)
0.614731 + 0.788737i \(0.289265\pi\)
\(272\) −0.133441 0.951637i −0.00809106 0.0577015i
\(273\) 2.47035 2.44608i 0.149513 0.148043i
\(274\) 2.16795 + 1.32010i 0.130971 + 0.0797499i
\(275\) −17.5641 + 1.02299i −1.05915 + 0.0616887i
\(276\) 2.94049 0.104814i 0.176997 0.00630909i
\(277\) −5.71858 + 24.1286i −0.343596 + 1.44975i 0.477336 + 0.878721i \(0.341602\pi\)
−0.820932 + 0.571025i \(0.806546\pi\)
\(278\) −12.7029 17.9218i −0.761871 1.07488i
\(279\) −18.2421 + 24.0047i −1.09212 + 1.43712i
\(280\) −1.06221 0.716829i −0.0634790 0.0428387i
\(281\) 11.1226 + 0.647818i 0.663519 + 0.0386456i 0.386600 0.922248i \(-0.373649\pi\)
0.276919 + 0.960893i \(0.410686\pi\)
\(282\) 11.4354 10.8061i 0.680969 0.643493i
\(283\) −2.54316 + 3.41606i −0.151175 + 0.203064i −0.871259 0.490823i \(-0.836696\pi\)
0.720084 + 0.693887i \(0.244103\pi\)
\(284\) 6.95316 + 5.05342i 0.412594 + 0.299865i
\(285\) 1.73121 2.77595i 0.102548 0.164433i
\(286\) −7.52096 8.35419i −0.444724 0.493993i
\(287\) 1.37077 + 7.77404i 0.0809142 + 0.458887i
\(288\) 0.174225 16.9697i 0.0102663 0.999947i
\(289\) 2.94200 16.6849i 0.173059 0.981464i
\(290\) 4.48807 2.80397i 0.263549 0.164655i
\(291\) 23.1064 14.0952i 1.35452 0.826276i
\(292\) −3.09748 + 0.216111i −0.181266 + 0.0126470i
\(293\) −23.2839 + 5.51839i −1.36026 + 0.322388i −0.845055 0.534679i \(-0.820433\pi\)
−0.515205 + 0.857067i \(0.672284\pi\)
\(294\) 13.0103 + 7.49763i 0.758778 + 0.437270i
\(295\) 0.128650 + 1.10067i 0.00749027 + 0.0640833i
\(296\) 17.6630 + 4.40827i 1.02664 + 0.256226i
\(297\) 12.5436 + 14.5228i 0.727854 + 0.842696i
\(298\) −3.19966 11.6729i −0.185351 0.676191i
\(299\) 1.67859 + 0.724073i 0.0970753 + 0.0418742i
\(300\) −7.07212 14.9108i −0.408309 0.860874i
\(301\) 1.29638 1.22307i 0.0747222 0.0704967i
\(302\) −8.31255 24.6118i −0.478334 1.41625i
\(303\) −4.95912 0.751438i −0.284894 0.0431690i
\(304\) 4.80113 + 14.7921i 0.275364 + 0.848382i
\(305\) −1.24617 + 1.48513i −0.0713555 + 0.0850382i
\(306\) −0.324596 + 0.966170i −0.0185559 + 0.0552323i
\(307\) −0.525391 + 0.440856i −0.0299857 + 0.0251610i −0.657657 0.753317i \(-0.728453\pi\)
0.627672 + 0.778478i \(0.284008\pi\)
\(308\) −3.71882 + 5.79809i −0.211899 + 0.330377i
\(309\) 7.89248 + 10.0836i 0.448988 + 0.573637i
\(310\) 4.31359 + 5.39153i 0.244996 + 0.306218i
\(311\) 5.84253 + 13.5445i 0.331300 + 0.768039i 0.999706 + 0.0242426i \(0.00771743\pi\)
−0.668406 + 0.743796i \(0.733023\pi\)
\(312\) 4.61601 9.47974i 0.261330 0.536685i
\(313\) −5.62291 + 2.82393i −0.317826 + 0.159618i −0.600559 0.799581i \(-0.705055\pi\)
0.282733 + 0.959199i \(0.408759\pi\)
\(314\) −2.39827 5.06697i −0.135342 0.285946i
\(315\) 0.667936 + 1.18375i 0.0376339 + 0.0666966i
\(316\) 28.8870 10.8912i 1.62502 0.612675i
\(317\) −12.1820 + 12.9122i −0.684210 + 0.725220i −0.972649 0.232278i \(-0.925382\pi\)
0.288439 + 0.957498i \(0.406864\pi\)
\(318\) −2.06618 0.118680i −0.115866 0.00665524i
\(319\) −15.6313 23.7663i −0.875186 1.33066i
\(320\) −3.75944 0.985812i −0.210159 0.0551086i
\(321\) 2.48662 1.72291i 0.138790 0.0961637i
\(322\) 0.155992 1.10931i 0.00869309 0.0618195i
\(323\) 0.934024i 0.0519705i
\(324\) −8.21119 + 16.0180i −0.456177 + 0.889889i
\(325\) 10.2533i 0.568752i
\(326\) 23.5107 + 3.30609i 1.30214 + 0.183107i
\(327\) −0.330382 4.00392i −0.0182702 0.221417i
\(328\) 11.7239 + 20.8748i 0.647345 + 1.15262i
\(329\) −3.29160 5.00464i −0.181472 0.275915i
\(330\) 3.92576 1.97553i 0.216106 0.108750i
\(331\) 9.93529 10.5308i 0.546093 0.578825i −0.394271 0.918994i \(-0.629003\pi\)
0.940364 + 0.340169i \(0.110484\pi\)
\(332\) 7.90798 2.98151i 0.434007 0.163632i
\(333\) −14.6683 12.5571i −0.803820 0.688127i
\(334\) −26.5099 + 12.5475i −1.45055 + 0.686568i
\(335\) −5.85669 + 2.94134i −0.319985 + 0.160703i
\(336\) −6.35013 1.19231i −0.346428 0.0650459i
\(337\) 10.4988 + 24.3390i 0.571908 + 1.32583i 0.921299 + 0.388855i \(0.127129\pi\)
−0.349391 + 0.936977i \(0.613611\pi\)
\(338\) −9.24037 + 7.39293i −0.502610 + 0.402122i
\(339\) −1.47652 + 3.66379i −0.0801937 + 0.198990i
\(340\) 0.196481 + 0.126021i 0.0106557 + 0.00683443i
\(341\) 28.4319 23.8572i 1.53967 1.29194i
\(342\) 2.45816 16.3109i 0.132922 0.881992i
\(343\) 7.87095 9.38024i 0.424992 0.506485i
\(344\) 2.48314 4.80138i 0.133882 0.258873i
\(345\) −0.446061 + 0.558446i −0.0240151 + 0.0300657i
\(346\) −23.1544 + 7.82032i −1.24479 + 0.420423i
\(347\) −5.07629 + 4.78923i −0.272510 + 0.257099i −0.810349 0.585948i \(-0.800722\pi\)
0.537839 + 0.843047i \(0.319241\pi\)
\(348\) 15.1609 21.9564i 0.812712 1.17698i
\(349\) −14.1486 6.10311i −0.757357 0.326692i −0.0178500 0.999841i \(-0.505682\pi\)
−0.739507 + 0.673149i \(0.764941\pi\)
\(350\) −6.05952 + 1.66098i −0.323895 + 0.0887831i
\(351\) −8.87427 + 6.80566i −0.473674 + 0.363259i
\(352\) −4.82580 + 20.3263i −0.257216 + 1.08340i
\(353\) −4.25916 36.4394i −0.226692 1.93947i −0.328130 0.944632i \(-0.606418\pi\)
0.101438 0.994842i \(-0.467656\pi\)
\(354\) 2.79755 + 4.83653i 0.148688 + 0.257059i
\(355\) −2.03165 + 0.481511i −0.107829 + 0.0255559i
\(356\) −1.28835 18.4656i −0.0682822 0.978675i
\(357\) 0.340647 + 0.185852i 0.0180289 + 0.00983634i
\(358\) −7.60641 12.1749i −0.402011 0.643464i
\(359\) 2.08749 11.8387i 0.110174 0.624825i −0.878854 0.477092i \(-0.841691\pi\)
0.989027 0.147734i \(-0.0471979\pi\)
\(360\) 3.09950 + 2.71780i 0.163358 + 0.143241i
\(361\) −0.674454 3.82502i −0.0354976 0.201317i
\(362\) 0.548773 0.494040i 0.0288429 0.0259662i
\(363\) −2.14943 4.03393i −0.112816 0.211727i
\(364\) −3.24727 2.36005i −0.170203 0.123700i
\(365\) 0.450397 0.604989i 0.0235749 0.0316666i
\(366\) −2.79597 + 9.36650i −0.146148 + 0.489595i
\(367\) 33.4571 + 1.94865i 1.74645 + 0.101719i 0.901404 0.432980i \(-0.142538\pi\)
0.845043 + 0.534699i \(0.179575\pi\)
\(368\) −0.666635 3.33150i −0.0347508 0.173667i
\(369\) −1.22608 25.3644i −0.0638273 1.32042i
\(370\) −3.60776 + 2.55717i −0.187558 + 0.132941i
\(371\) −0.181712 + 0.766702i −0.00943401 + 0.0398052i
\(372\) 30.7505 + 16.3218i 1.59434 + 0.846247i
\(373\) −23.8028 + 1.38635i −1.23246 + 0.0717827i −0.661976 0.749525i \(-0.730282\pi\)
−0.570485 + 0.821308i \(0.693245\pi\)
\(374\) 0.652557 1.07167i 0.0337429 0.0554149i
\(375\) 7.92546 + 2.16562i 0.409269 + 0.111832i
\(376\) −14.4427 11.0210i −0.744824 0.568365i
\(377\) 14.3567 8.28885i 0.739408 0.426897i
\(378\) 5.45960 + 4.14206i 0.280812 + 0.213044i
\(379\) −8.02095 + 13.8927i −0.412009 + 0.713620i −0.995109 0.0987801i \(-0.968506\pi\)
0.583101 + 0.812400i \(0.301839\pi\)
\(380\) −3.48564 1.45633i −0.178810 0.0747083i
\(381\) −20.8449 + 29.4589i −1.06792 + 1.50923i
\(382\) −5.57736 0.130250i −0.285363 0.00666415i
\(383\) 32.9073 + 16.5267i 1.68149 + 0.844474i 0.992850 + 0.119365i \(0.0380860\pi\)
0.688635 + 0.725108i \(0.258210\pi\)
\(384\) −19.3712 + 2.95929i −0.988531 + 0.151016i
\(385\) −0.479881 1.60291i −0.0244570 0.0816921i
\(386\) −2.14402 + 0.199984i −0.109128 + 0.0101789i
\(387\) −4.63247 + 3.37815i −0.235482 + 0.171721i
\(388\) −20.3628 23.7093i −1.03377 1.20366i
\(389\) −30.5819 20.1140i −1.55056 1.01982i −0.980101 0.198500i \(-0.936393\pi\)
−0.570464 0.821323i \(-0.693237\pi\)
\(390\) 1.01632 + 2.35092i 0.0514635 + 0.119043i
\(391\) −0.0236892 + 0.202674i −0.00119802 + 0.0102497i
\(392\) 6.12329 16.2219i 0.309273 0.819329i
\(393\) −19.3922 4.10411i −0.978206 0.207025i
\(394\) −1.24524 + 3.83145i −0.0627344 + 0.193026i
\(395\) −2.56483 + 7.04682i −0.129051 + 0.354564i
\(396\) 14.2160 16.9973i 0.714383 0.854145i
\(397\) 9.13556 + 25.0998i 0.458501 + 1.25972i 0.926601 + 0.376045i \(0.122716\pi\)
−0.468101 + 0.883675i \(0.655061\pi\)
\(398\) 17.7927 0.619946i 0.891868 0.0310751i
\(399\) −5.95148 2.00478i −0.297946 0.100364i
\(400\) −15.6764 + 10.8341i −0.783820 + 0.541707i
\(401\) 25.0358 + 7.49523i 1.25023 + 0.374294i 0.842444 0.538784i \(-0.181116\pi\)
0.407785 + 0.913078i \(0.366301\pi\)
\(402\) −21.2201 + 25.3304i −1.05836 + 1.26336i
\(403\) 12.9165 + 17.3498i 0.643416 + 0.864257i
\(404\) 0.0664844 + 5.79129i 0.00330772 + 0.288127i
\(405\) −1.65217 4.04819i −0.0820968 0.201156i
\(406\) −7.22426 7.14181i −0.358534 0.354442i
\(407\) 14.1946 + 19.0666i 0.703598 + 0.945096i
\(408\) 1.16146 + 0.190120i 0.0575007 + 0.00941234i
\(409\) −5.02767 + 16.7936i −0.248602 + 0.830390i 0.739039 + 0.673662i \(0.235280\pi\)
−0.987642 + 0.156728i \(0.949905\pi\)
\(410\) −5.70216 1.14332i −0.281610 0.0564644i
\(411\) −2.33245 + 2.05516i −0.115051 + 0.101373i
\(412\) 10.0227 10.8708i 0.493782 0.535564i
\(413\) 1.99894 0.727556i 0.0983615 0.0358007i
\(414\) −0.947083 + 3.47696i −0.0465466 + 0.170883i
\(415\) −0.702137 + 1.92911i −0.0344666 + 0.0946961i
\(416\) −11.6622 3.49638i −0.571785 0.171424i
\(417\) 25.5801 8.33635i 1.25266 0.408233i
\(418\) −7.38866 + 18.9140i −0.361391 + 0.925116i
\(419\) −4.17341 + 35.7058i −0.203884 + 1.74434i 0.373284 + 0.927717i \(0.378232\pi\)
−0.577169 + 0.816625i \(0.695842\pi\)
\(420\) 1.22471 0.981464i 0.0597598 0.0478906i
\(421\) −10.7050 + 16.2762i −0.521731 + 0.793253i −0.996207 0.0870155i \(-0.972267\pi\)
0.474476 + 0.880268i \(0.342637\pi\)
\(422\) −1.12807 + 13.8062i −0.0549136 + 0.672073i
\(423\) 8.47760 + 17.3043i 0.412195 + 0.841366i
\(424\) 0.249242 + 2.37672i 0.0121042 + 0.115424i
\(425\) 1.09640 0.328242i 0.0531834 0.0159221i
\(426\) −8.43919 + 6.29326i −0.408880 + 0.304910i
\(427\) 3.32568 + 1.67022i 0.160941 + 0.0808277i
\(428\) −2.42617 2.51316i −0.117274 0.121478i
\(429\) 12.5059 5.75659i 0.603791 0.277931i
\(430\) 0.491779 + 1.21747i 0.0237157 + 0.0587115i
\(431\) 3.51375 6.08600i 0.169252 0.293152i −0.768905 0.639363i \(-0.779198\pi\)
0.938157 + 0.346210i \(0.112532\pi\)
\(432\) 19.7822 + 6.37679i 0.951773 + 0.306804i
\(433\) 3.30268 + 5.72042i 0.158717 + 0.274906i 0.934406 0.356209i \(-0.115931\pi\)
−0.775689 + 0.631115i \(0.782598\pi\)
\(434\) 8.16105 10.4440i 0.391743 0.501327i
\(435\) 1.64655 + 6.26869i 0.0789462 + 0.300560i
\(436\) −4.50141 + 1.12158i −0.215579 + 0.0537141i
\(437\) −0.192015 3.29677i −0.00918531 0.157706i
\(438\) 0.874030 3.70104i 0.0417628 0.176843i
\(439\) −0.210074 + 0.886372i −0.0100263 + 0.0423042i −0.977828 0.209409i \(-0.932846\pi\)
0.967802 + 0.251713i \(0.0809941\pi\)
\(440\) −2.98187 4.10621i −0.142155 0.195756i
\(441\) −13.5010 + 12.4879i −0.642907 + 0.594660i
\(442\) 0.601379 + 0.415966i 0.0286047 + 0.0197855i
\(443\) −12.6494 0.736746i −0.600993 0.0350038i −0.245048 0.969511i \(-0.578804\pi\)
−0.355945 + 0.934507i \(0.615841\pi\)
\(444\) −11.5806 + 19.0529i −0.549592 + 0.904209i
\(445\) 3.60663 + 2.68504i 0.170971 + 0.127283i
\(446\) −31.4699 + 4.79433i −1.49014 + 0.227018i
\(447\) 14.8151 + 0.504308i 0.700728 + 0.0238530i
\(448\) −0.177091 + 7.45852i −0.00836675 + 0.352382i
\(449\) 20.8258 3.67216i 0.982832 0.173300i 0.340932 0.940088i \(-0.389257\pi\)
0.641900 + 0.766788i \(0.278146\pi\)
\(450\) 20.0104 2.84659i 0.943299 0.134189i
\(451\) −5.42840 + 30.7860i −0.255613 + 1.44965i
\(452\) 4.45005 + 1.00087i 0.209313 + 0.0470770i
\(453\) 31.8068 0.768300i 1.49441 0.0360979i
\(454\) −12.8225 + 14.5761i −0.601789 + 0.684091i
\(455\) 0.948824 0.224875i 0.0444815 0.0105423i
\(456\) −19.0454 + 0.233910i −0.891884 + 0.0109538i
\(457\) −24.9580 + 2.91718i −1.16749 + 0.136460i −0.677671 0.735366i \(-0.737010\pi\)
−0.489817 + 0.871825i \(0.662936\pi\)
\(458\) 1.15596 4.41533i 0.0540146 0.206315i
\(459\) −1.01183 0.731070i −0.0472284 0.0341234i
\(460\) 0.719415 + 0.404415i 0.0335429 + 0.0188560i
\(461\) 7.68437 17.8144i 0.357897 0.829699i −0.640210 0.768200i \(-0.721153\pi\)
0.998107 0.0614987i \(-0.0195880\pi\)
\(462\) −5.42793 6.45823i −0.252530 0.300464i
\(463\) −20.8137 + 19.6367i −0.967293 + 0.912594i −0.996209 0.0869882i \(-0.972276\pi\)
0.0289166 + 0.999582i \(0.490794\pi\)
\(464\) −27.8429 13.1917i −1.29257 0.612411i
\(465\) −7.87441 + 3.08337i −0.365167 + 0.142988i
\(466\) −7.09037 + 13.3325i −0.328455 + 0.617618i
\(467\) 6.75207 8.04680i 0.312448 0.372362i −0.586851 0.809695i \(-0.699633\pi\)
0.899299 + 0.437333i \(0.144077\pi\)
\(468\) 9.40717 + 8.84674i 0.434846 + 0.408941i
\(469\) 8.08673 + 9.63739i 0.373410 + 0.445013i
\(470\) 4.31665 0.917181i 0.199112 0.0423064i
\(471\) 6.79812 0.961510i 0.313241 0.0443041i
\(472\) 4.99116 4.08812i 0.229737 0.188171i
\(473\) 6.48076 2.79553i 0.297986 0.128538i
\(474\) 2.22873 + 37.7445i 0.102369 + 1.73366i
\(475\) −16.5519 + 8.31266i −0.759452 + 0.381411i
\(476\) 0.148409 0.422788i 0.00680230 0.0193785i
\(477\) 0.890407 2.37318i 0.0407689 0.108660i
\(478\) −11.0456 + 24.0468i −0.505216 + 1.09988i
\(479\) 9.93770 10.5333i 0.454065 0.481281i −0.459382 0.888239i \(-0.651929\pi\)
0.913447 + 0.406958i \(0.133411\pi\)
\(480\) 2.52045 4.03796i 0.115042 0.184307i
\(481\) −11.5738 + 7.61220i −0.527719 + 0.347086i
\(482\) −11.9475 21.8567i −0.544192 0.995546i
\(483\) 1.24057 + 0.585962i 0.0564478 + 0.0266622i
\(484\) −4.19712 + 3.20017i −0.190778 + 0.145462i
\(485\) 7.59173 0.344723
\(486\) −15.7457 15.4296i −0.714238 0.699903i
\(487\) 1.58837i 0.0719761i −0.999352 0.0359880i \(-0.988542\pi\)
0.999352 0.0359880i \(-0.0114578\pi\)
\(488\) 11.1944 + 1.44332i 0.506748 + 0.0653361i
\(489\) −12.4189 + 26.2926i −0.561600 + 1.18899i
\(490\) 2.02018 + 3.69572i 0.0912623 + 0.166955i
\(491\) −20.5423 31.2330i −0.927060 1.40953i −0.912249 0.409636i \(-0.865656\pi\)
−0.0148111 0.999890i \(-0.504715\pi\)
\(492\) −28.6773 + 6.11724i −1.29287 + 0.275786i
\(493\) 1.34594 + 1.26983i 0.0606183 + 0.0571904i
\(494\) −10.7537 4.93957i −0.483831 0.222242i
\(495\) 0.882267 + 5.30972i 0.0396549 + 0.238654i
\(496\) 12.8782 38.0808i 0.578248 1.70988i
\(497\) 1.79879 + 3.58169i 0.0806868 + 0.160661i
\(498\) 0.610126 + 10.3328i 0.0273404 + 0.463023i
\(499\) 2.91910 + 6.76723i 0.130677 + 0.302943i 0.970975 0.239182i \(-0.0768792\pi\)
−0.840298 + 0.542125i \(0.817620\pi\)
\(500\) 0.993136 9.43490i 0.0444144 0.421942i
\(501\) −5.03052 35.5670i −0.224747 1.58902i
\(502\) −2.76900 13.0321i −0.123587 0.581652i
\(503\) 17.6442 14.8053i 0.786717 0.660134i −0.158213 0.987405i \(-0.550573\pi\)
0.944931 + 0.327271i \(0.106129\pi\)
\(504\) 3.70436 6.99259i 0.165005 0.311475i
\(505\) −1.07771 0.904304i −0.0479574 0.0402410i
\(506\) 2.08298 3.91677i 0.0925996 0.174122i
\(507\) −5.28448 13.4957i −0.234692 0.599365i
\(508\) 37.4506 + 18.2731i 1.66160 + 0.810738i
\(509\) −17.3059 18.3432i −0.767072 0.813049i 0.219631 0.975583i \(-0.429515\pi\)
−0.986703 + 0.162534i \(0.948033\pi\)
\(510\) −0.218852 + 0.183938i −0.00969092 + 0.00814490i
\(511\) −1.32942 0.573457i −0.0588102 0.0253682i
\(512\) 6.97715 + 21.5249i 0.308349 + 0.951273i
\(513\) 18.1810 + 8.80815i 0.802710 + 0.388889i
\(514\) 3.15972 12.0689i 0.139369 0.532336i
\(515\) 0.416967 + 3.56738i 0.0183738 + 0.157198i
\(516\) 4.71181 + 4.65057i 0.207426 + 0.204730i
\(517\) −5.47050 23.0819i −0.240592 1.01514i
\(518\) 6.37356 + 5.60676i 0.280038 + 0.246347i
\(519\) −0.722805 29.9233i −0.0317276 1.31349i
\(520\) 2.49000 1.59568i 0.109194 0.0699754i
\(521\) −42.3795 7.47265i −1.85668 0.327383i −0.870385 0.492372i \(-0.836130\pi\)
−0.986295 + 0.164989i \(0.947241\pi\)
\(522\) 20.1623 + 25.7174i 0.882482 + 1.12562i
\(523\) −3.37084 19.1170i −0.147397 0.835929i −0.965411 0.260731i \(-0.916036\pi\)
0.818015 0.575197i \(-0.195075\pi\)
\(524\) −1.06844 + 22.8632i −0.0466752 + 0.998784i
\(525\) 0.261792 7.69067i 0.0114256 0.335649i
\(526\) 1.96998 + 12.9309i 0.0858950 + 0.563814i
\(527\) −1.44175 + 1.93661i −0.0628036 + 0.0843598i
\(528\) −22.0156 13.0377i −0.958108 0.567395i
\(529\) 1.29538 22.2409i 0.0563210 0.966994i
\(530\) −0.477415 0.330222i −0.0207376 0.0143439i
\(531\) −6.67387 + 1.51228i −0.289621 + 0.0656273i
\(532\) −1.17716 + 7.15541i −0.0510365 + 0.310226i
\(533\) −17.7271 4.20140i −0.767845 0.181983i
\(534\) 22.0637 + 5.21052i 0.954790 + 0.225481i
\(535\) 0.847089 0.0493373i 0.0366228 0.00213304i
\(536\) 32.8155 + 19.4690i 1.41741 + 0.840931i
\(537\) 17.0052 4.46665i 0.733830 0.192750i
\(538\) 13.0730 16.7300i 0.563617 0.721281i
\(539\) 19.6066 11.3199i 0.844518 0.487583i
\(540\) −4.30590 + 2.63614i −0.185297 + 0.113441i
\(541\) −24.6046 14.2055i −1.05783 0.610741i −0.133002 0.991116i \(-0.542462\pi\)
−0.924832 + 0.380375i \(0.875795\pi\)
\(542\) 5.95799 2.40664i 0.255918 0.103374i
\(543\) 0.378141 + 0.821492i 0.0162276 + 0.0352536i
\(544\) 0.000529868 1.35899i 2.27179e−5 0.0582660i
\(545\) 0.505735 1.00700i 0.0216633 0.0431352i
\(546\) 3.94128 2.93908i 0.168671 0.125781i
\(547\) 10.9569 + 36.5986i 0.468483 + 1.56484i 0.787017 + 0.616931i \(0.211624\pi\)
−0.318534 + 0.947911i \(0.603191\pi\)
\(548\) 2.77611 + 2.27564i 0.118590 + 0.0972107i
\(549\) −9.93680 6.67705i −0.424092 0.284970i
\(550\) −24.7988 2.02626i −1.05743 0.0863999i
\(551\) −25.0200 16.4559i −1.06589 0.701047i
\(552\) 4.13861 + 0.432285i 0.176151 + 0.0183993i
\(553\) 14.2979 + 1.67119i 0.608010 + 0.0710661i
\(554\) −12.7601 + 32.6644i −0.542126 + 1.38778i
\(555\) −1.67815 5.14940i −0.0712335 0.218580i
\(556\) −14.2603 27.6000i −0.604771 1.17050i
\(557\) 36.1233 + 13.1478i 1.53059 + 0.557090i 0.963766 0.266748i \(-0.0859493\pi\)
0.566825 + 0.823838i \(0.308171\pi\)
\(558\) −30.2741 + 30.0246i −1.28160 + 1.27104i
\(559\) 1.40681 + 3.86518i 0.0595018 + 0.163480i
\(560\) −1.34639 1.21305i −0.0568952 0.0512608i
\(561\) 1.01592 + 1.15299i 0.0428920 + 0.0486793i
\(562\) 15.4489 + 3.09760i 0.651673 + 0.130664i
\(563\) −22.0327 6.59614i −0.928566 0.277994i −0.213413 0.976962i \(-0.568458\pi\)
−0.715153 + 0.698968i \(0.753643\pi\)
\(564\) 18.1426 12.8813i 0.763941 0.542399i
\(565\) −0.888720 + 0.661627i −0.0373887 + 0.0278349i
\(566\) −4.23426 + 4.28315i −0.177979 + 0.180034i
\(567\) −6.83007 + 4.87812i −0.286836 + 0.204862i
\(568\) 8.74228 + 8.44627i 0.366818 + 0.354398i
\(569\) 32.5316 24.2189i 1.36380 1.01531i 0.367437 0.930048i \(-0.380235\pi\)
0.996359 0.0852604i \(-0.0271722\pi\)
\(570\) 2.97111 3.54660i 0.124446 0.148551i
\(571\) 1.52970 5.10956i 0.0640161 0.213829i −0.919997 0.391926i \(-0.871809\pi\)
0.984013 + 0.178097i \(0.0569942\pi\)
\(572\) −8.88743 13.1806i −0.371602 0.551108i
\(573\) 2.18120 6.47521i 0.0911207 0.270506i
\(574\) 0.388740 + 11.1570i 0.0162257 + 0.465684i
\(575\) 3.80243 1.38397i 0.158572 0.0577156i
\(576\) 3.58582 23.7306i 0.149409 0.988775i
\(577\) −14.9827 5.45327i −0.623739 0.227023i 0.0107647 0.999942i \(-0.496573\pi\)
−0.634504 + 0.772919i \(0.718796\pi\)
\(578\) 7.40583 22.7867i 0.308042 0.947804i
\(579\) 0.546050 2.58012i 0.0226931 0.107226i
\(580\) 6.83744 3.04295i 0.283909 0.126351i
\(581\) 3.91413 + 0.457497i 0.162386 + 0.0189802i
\(582\) 35.1348 15.1891i 1.45639 0.629608i
\(583\) −1.71465 + 2.60699i −0.0710134 + 0.107971i
\(584\) −4.38038 0.307336i −0.181261 0.0127176i
\(585\) −3.11905 + 0.333373i −0.128957 + 0.0137833i
\(586\) −33.6943 + 3.14285i −1.39190 + 0.129830i
\(587\) 15.5646 4.65973i 0.642420 0.192328i 0.0510088 0.998698i \(-0.483756\pi\)
0.591411 + 0.806370i \(0.298571\pi\)
\(588\) 16.7436 + 13.0621i 0.690496 + 0.538670i
\(589\) 17.5360 34.9170i 0.722558 1.43873i
\(590\) −0.0365887 + 1.56675i −0.00150633 + 0.0645020i
\(591\) −4.02780 2.85004i −0.165682 0.117235i
\(592\) 23.8678 + 9.65187i 0.980960 + 0.396689i
\(593\) 14.6921 + 8.48250i 0.603333 + 0.348334i 0.770352 0.637619i \(-0.220081\pi\)
−0.167019 + 0.985954i \(0.553414\pi\)
\(594\) 14.7065 + 22.8084i 0.603417 + 0.935840i
\(595\) 0.0544212 + 0.0942603i 0.00223105 + 0.00386430i
\(596\) −2.18218 16.9772i −0.0893855 0.695413i
\(597\) −5.74743 + 21.0337i −0.235227 + 0.860850i
\(598\) 2.20816 + 1.34458i 0.0902986 + 0.0549840i
\(599\) −0.230851 3.96356i −0.00943232 0.161947i −0.999735 0.0230201i \(-0.992672\pi\)
0.990303 0.138927i \(-0.0443652\pi\)
\(600\) −6.96767 22.2743i −0.284454 0.909344i
\(601\) 26.1918 + 6.20758i 1.06839 + 0.253212i 0.726949 0.686692i \(-0.240938\pi\)
0.341438 + 0.939904i \(0.389086\pi\)
\(602\) 2.05636 1.45754i 0.0838108 0.0594048i
\(603\) −21.9040 34.0308i −0.892000 1.38584i
\(604\) −6.79439 36.1043i −0.276460 1.46906i
\(605\) 0.0745454 1.27990i 0.00303070 0.0520352i
\(606\) −6.79695 2.02894i −0.276107 0.0824200i
\(607\) −0.340477 0.253476i −0.0138195 0.0102883i 0.590227 0.807238i \(-0.299038\pi\)
−0.604046 + 0.796949i \(0.706446\pi\)
\(608\) 3.81067 + 21.6608i 0.154543 + 0.878461i
\(609\) 10.9801 5.85063i 0.444937 0.237079i
\(610\) −2.03765 + 1.83442i −0.0825019 + 0.0742734i
\(611\) 13.6142 2.40055i 0.550772 0.0971160i
\(612\) −0.644843 + 1.28914i −0.0260662 + 0.0521103i
\(613\) −3.71605 0.655240i −0.150090 0.0264649i 0.0980984 0.995177i \(-0.468724\pi\)
−0.248188 + 0.968712i \(0.579835\pi\)
\(614\) −0.822594 + 0.513925i −0.0331972 + 0.0207403i
\(615\) 3.41135 6.25263i 0.137559 0.252131i
\(616\) −6.34978 + 7.38750i −0.255840 + 0.297651i
\(617\) −4.16491 17.5732i −0.167673 0.707469i −0.990307 0.138897i \(-0.955644\pi\)
0.822634 0.568572i \(-0.192504\pi\)
\(618\) 9.06715 + 15.6757i 0.364734 + 0.630570i
\(619\) 10.5875 1.23751i 0.425549 0.0497396i 0.0993769 0.995050i \(-0.468315\pi\)
0.326172 + 0.945310i \(0.394241\pi\)
\(620\) 4.97916 + 8.39997i 0.199968 + 0.337351i
\(621\) −3.72170 2.37240i −0.149347 0.0952012i
\(622\) 5.51477 + 20.1188i 0.221122 + 0.806690i
\(623\) 3.41866 7.92534i 0.136966 0.317522i
\(624\) 8.33126 12.3667i 0.333517 0.495066i
\(625\) −14.7648 15.6498i −0.590591 0.625990i
\(626\) −8.43064 + 2.84742i −0.336956 + 0.113806i
\(627\) −19.4317 15.5212i −0.776029 0.619857i
\(628\) −2.36079 7.56826i −0.0942056 0.302006i
\(629\) −1.18450 0.993913i −0.0472291 0.0396299i
\(630\) 0.702286 + 1.78930i 0.0279797 + 0.0712873i
\(631\) 18.3098 + 21.8208i 0.728901 + 0.868670i 0.995463 0.0951474i \(-0.0303322\pi\)
−0.266562 + 0.963818i \(0.585888\pi\)
\(632\) 42.5992 9.56364i 1.69451 0.380421i
\(633\) −15.7356 6.34150i −0.625434 0.252052i
\(634\) −19.6029 + 15.6837i −0.778531 + 0.622878i
\(635\) −9.29437 + 4.00920i −0.368836 + 0.159100i
\(636\) −2.87019 0.573097i −0.113810 0.0227248i
\(637\) 5.92145 + 11.7906i 0.234616 + 0.467159i
\(638\) −17.2104 36.3614i −0.681365 1.43956i
\(639\) −4.28990 12.1587i −0.169706 0.480992i
\(640\) −5.07071 2.12091i −0.200438 0.0838364i
\(641\) −10.4617 9.87015i −0.413214 0.389848i 0.451369 0.892337i \(-0.350936\pi\)
−0.864583 + 0.502490i \(0.832417\pi\)
\(642\) 3.82165 1.92314i 0.150828 0.0759003i
\(643\) −7.96715 + 5.24008i −0.314194 + 0.206648i −0.696804 0.717261i \(-0.745395\pi\)
0.382611 + 0.923910i \(0.375025\pi\)
\(644\) 0.436913 1.52280i 0.0172168 0.0600067i
\(645\) −1.60269 + 0.132246i −0.0631060 + 0.00520717i
\(646\) 0.183937 1.30804i 0.00723690 0.0514641i
\(647\) −24.1747 −0.950406 −0.475203 0.879876i \(-0.657625\pi\)
−0.475203 + 0.879876i \(0.657625\pi\)
\(648\) −14.6537 + 20.8151i −0.575650 + 0.817696i
\(649\) 8.42404 0.330672
\(650\) 2.01918 14.3591i 0.0791988 0.563210i
\(651\) 9.24524 + 13.3433i 0.362350 + 0.522967i
\(652\) 32.2742 + 9.25992i 1.26395 + 0.362646i
\(653\) 33.6444 22.1282i 1.31661 0.865945i 0.319932 0.947441i \(-0.396340\pi\)
0.996674 + 0.0814957i \(0.0259697\pi\)
\(654\) 0.325812 5.67229i 0.0127402 0.221804i
\(655\) −4.04400 3.81532i −0.158012 0.149077i
\(656\) 12.3077 + 31.5425i 0.480536 + 1.23153i
\(657\) 4.01033 + 2.36848i 0.156458 + 0.0924032i
\(658\) −3.62411 7.65688i −0.141283 0.298496i
\(659\) 3.90072 + 7.76696i 0.151950 + 0.302558i 0.956710 0.291043i \(-0.0940022\pi\)
−0.804760 + 0.593601i \(0.797706\pi\)
\(660\) 5.88682 1.99351i 0.229144 0.0775972i
\(661\) 2.44818 1.05604i 0.0952232 0.0410753i −0.347935 0.937519i \(-0.613117\pi\)
0.443159 + 0.896443i \(0.353858\pi\)
\(662\) 15.9876 12.7911i 0.621374 0.497142i
\(663\) −0.705225 + 0.551982i −0.0273887 + 0.0214372i
\(664\) 11.6618 2.61810i 0.452564 0.101602i
\(665\) −1.13225 1.34937i −0.0439070 0.0523263i
\(666\) −18.0692 20.4741i −0.700166 0.793355i
\(667\) 5.01175 + 4.20536i 0.194056 + 0.162832i
\(668\) −39.5963 + 12.3514i −1.53203 + 0.477889i
\(669\) 5.84093 38.5473i 0.225824 1.49033i
\(670\) −8.78116 + 2.96580i −0.339246 + 0.114579i
\(671\) 10.1136 + 10.7198i 0.390430 + 0.413832i
\(672\) −8.65814 2.92028i −0.333995 0.112652i
\(673\) 14.8793 34.4942i 0.573557 1.32965i −0.346567 0.938025i \(-0.612653\pi\)
0.920124 0.391628i \(-0.128088\pi\)
\(674\) 9.90986 + 36.1528i 0.381714 + 1.39255i
\(675\) −3.95015 + 24.4372i −0.152041 + 0.940587i
\(676\) −14.3964 + 8.53361i −0.553709 + 0.328216i
\(677\) 17.2652 2.01801i 0.663556 0.0775585i 0.222353 0.974966i \(-0.428626\pi\)
0.441202 + 0.897408i \(0.354552\pi\)
\(678\) −2.78928 + 4.84014i −0.107122 + 0.185884i
\(679\) −3.36080 14.1803i −0.128976 0.544190i
\(680\) 0.250342 + 0.215177i 0.00960018 + 0.00825165i
\(681\) −12.3820 20.2979i −0.474479 0.777818i
\(682\) 44.5152 27.8113i 1.70457 1.06495i
\(683\) −46.5839 8.21401i −1.78249 0.314300i −0.817367 0.576117i \(-0.804567\pi\)
−0.965118 + 0.261817i \(0.915678\pi\)
\(684\) 6.65459 22.3583i 0.254445 0.854889i
\(685\) −0.858703 + 0.151412i −0.0328093 + 0.00578517i
\(686\) 12.8700 11.5864i 0.491379 0.442370i
\(687\) 4.74311 + 2.95803i 0.180961 + 0.112856i
\(688\) 4.42301 6.23502i 0.168626 0.237708i
\(689\) −1.45863 1.08591i −0.0555692 0.0413698i
\(690\) −0.734655 + 0.694225i −0.0279678 + 0.0264287i
\(691\) 1.39165 23.8938i 0.0529410 0.908962i −0.862386 0.506251i \(-0.831031\pi\)
0.915327 0.402711i \(-0.131932\pi\)
\(692\) −33.9663 + 6.39206i −1.29121 + 0.242990i
\(693\) 9.52725 3.99852i 0.361910 0.151891i
\(694\) −8.05216 + 5.70734i −0.305656 + 0.216648i
\(695\) 7.34286 + 1.74029i 0.278531 + 0.0660130i
\(696\) 25.5558 27.7628i 0.968689 1.05235i
\(697\) −0.118239 2.03009i −0.00447863 0.0768950i
\(698\) −18.6123 11.3333i −0.704486 0.428971i
\(699\) −13.0128 13.1420i −0.492190 0.497075i
\(700\) −8.81307 + 1.13279i −0.333103 + 0.0428156i
\(701\) −3.02596 5.24112i −0.114289 0.197954i 0.803206 0.595701i \(-0.203126\pi\)
−0.917495 + 0.397747i \(0.869792\pi\)
\(702\) −13.7681 + 7.78327i −0.519643 + 0.293761i
\(703\) 21.6715 + 12.5121i 0.817357 + 0.471902i
\(704\) −10.7611 + 27.5153i −0.405573 + 1.03702i
\(705\) −0.497644 + 5.38186i −0.0187424 + 0.202693i
\(706\) 1.21133 51.8698i 0.0455890 1.95215i
\(707\) −1.21202 + 2.41334i −0.0455828 + 0.0907629i
\(708\) 2.96532 + 7.32417i 0.111444 + 0.275259i
\(709\) −43.3968 + 12.9921i −1.62980 + 0.487930i −0.965689 0.259703i \(-0.916375\pi\)
−0.664112 + 0.747633i \(0.731190\pi\)
\(710\) −2.94002 + 0.274232i −0.110337 + 0.0102917i
\(711\) −44.9520 11.1239i −1.68583 0.417177i
\(712\) 1.83218 26.1136i 0.0686638 0.978648i
\(713\) −4.69073 + 7.13191i −0.175669 + 0.267092i
\(714\) 0.440454 + 0.327358i 0.0164836 + 0.0122510i
\(715\) 3.83541 + 0.448295i 0.143436 + 0.0167653i
\(716\) −8.25468 18.5481i −0.308492 0.693175i
\(717\) −24.1041 21.6651i −0.900185 0.809098i
\(718\) 5.25480 16.1683i 0.196107 0.603396i
\(719\) 37.2340 + 13.5521i 1.38859 + 0.505407i 0.924772 0.380522i \(-0.124256\pi\)
0.463822 + 0.885929i \(0.346478\pi\)
\(720\) 3.80543 + 4.41649i 0.141820 + 0.164593i
\(721\) 6.47879 2.35809i 0.241283 0.0878197i
\(722\) −0.191269 5.48951i −0.00711830 0.204298i
\(723\) 29.9070 6.02147i 1.11225 0.223941i
\(724\) 0.865812 0.583801i 0.0321776 0.0216968i
\(725\) 10.5241 35.1529i 0.390854 1.30554i
\(726\) −2.21574 6.07255i −0.0822339 0.225374i
\(727\) −2.21428 + 1.64847i −0.0821231 + 0.0611384i −0.637437 0.770502i \(-0.720005\pi\)
0.555314 + 0.831641i \(0.312598\pi\)
\(728\) −4.08282 3.94458i −0.151319 0.146196i
\(729\) 23.7724 12.8014i 0.880458 0.474124i
\(730\) 0.749893 0.758551i 0.0277548 0.0280752i
\(731\) −0.368274 + 0.274170i −0.0136211 + 0.0101405i
\(732\) −5.76011 + 12.5666i −0.212900 + 0.464474i
\(733\) −4.90567 1.46866i −0.181195 0.0542463i 0.194920 0.980819i \(-0.437555\pi\)
−0.376115 + 0.926573i \(0.622740\pi\)
\(734\) 46.4708 + 9.31766i 1.71527 + 0.343921i
\(735\) −5.05693 + 1.01816i −0.186528 + 0.0375554i
\(736\) −0.277507 4.79684i −0.0102291 0.176814i
\(737\) 17.0397 + 46.8163i 0.627667 + 1.72450i
\(738\) 3.27796 35.7627i 0.120663 1.31644i
\(739\) −30.6968 11.1727i −1.12920 0.410996i −0.291199 0.956662i \(-0.594054\pi\)
−0.838002 + 0.545667i \(0.816277\pi\)
\(740\) −5.55602 + 2.87067i −0.204243 + 0.105528i
\(741\) 9.68856 10.7793i 0.355918 0.395987i
\(742\) −0.405462 + 1.03793i −0.0148850 + 0.0381037i
\(743\) 24.1540 + 2.82320i 0.886126 + 0.103573i 0.546965 0.837155i \(-0.315783\pi\)
0.339160 + 0.940729i \(0.389857\pi\)
\(744\) 39.8499 + 28.9134i 1.46097 + 1.06002i
\(745\) 3.47382 + 2.28477i 0.127271 + 0.0837075i
\(746\) −33.6073 2.74597i −1.23045 0.100537i
\(747\) −12.3059 3.04522i −0.450248 0.111419i
\(748\) 1.12491 1.37230i 0.0411307 0.0501763i
\(749\) −0.467154 1.56040i −0.0170694 0.0570159i
\(750\) 10.6726 + 4.59357i 0.389709 + 0.167734i
\(751\) 8.68790 17.2990i 0.317026 0.631251i −0.677525 0.735499i \(-0.736948\pi\)
0.994551 + 0.104249i \(0.0332439\pi\)
\(752\) −18.0557 18.2784i −0.658423 0.666544i
\(753\) 16.2480 + 1.50240i 0.592111 + 0.0547507i
\(754\) 21.7380 8.78073i 0.791649 0.319775i
\(755\) 7.72840 + 4.46199i 0.281265 + 0.162389i
\(756\) 6.83013 + 6.87584i 0.248409 + 0.250072i
\(757\) −0.414901 + 0.239543i −0.0150798 + 0.00870635i −0.507521 0.861639i \(-0.669438\pi\)
0.492441 + 0.870346i \(0.336105\pi\)
\(758\) −13.9687 + 17.8763i −0.507366 + 0.649295i
\(759\) 3.82285 + 3.86079i 0.138761 + 0.140138i
\(760\) −4.59462 2.72593i −0.166664 0.0988797i
\(761\) 5.57790 0.324876i 0.202199 0.0117767i 0.0432535 0.999064i \(-0.486228\pi\)
0.158945 + 0.987287i \(0.449191\pi\)
\(762\) −34.9933 + 37.1504i −1.26767 + 1.34582i
\(763\) −2.10483 0.498853i −0.0761998 0.0180597i
\(764\) −7.78508 1.28075i −0.281654 0.0463361i
\(765\) −0.135499 0.322853i −0.00489898 0.0116728i
\(766\) 42.8300 + 29.6250i 1.54751 + 1.07039i
\(767\) −0.285453 + 4.90104i −0.0103071 + 0.176966i
\(768\) −27.7109 + 0.329530i −0.999929 + 0.0118909i
\(769\) −13.0141 + 17.4809i −0.469300 + 0.630379i −0.972252 0.233935i \(-0.924840\pi\)
0.502953 + 0.864314i \(0.332247\pi\)
\(770\) −0.356381 2.33928i −0.0128431 0.0843018i
\(771\) 12.9649 + 8.08550i 0.466918 + 0.291192i
\(772\) −3.04194 0.142156i −0.109482 0.00511630i