Properties

Label 138.2.e.a.25.1
Level $138$
Weight $2$
Character 138.25
Analytic conductor $1.102$
Analytic rank $0$
Dimension $10$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 138 = 2 \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 138.e (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.10193554789\)
Analytic rank: \(0\)
Dimension: \(10\)
Coefficient field: \(\Q(\zeta_{22})\)
Defining polynomial: \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 25.1
Root \(-0.841254 - 0.540641i\) of defining polynomial
Character \(\chi\) \(=\) 138.25
Dual form 138.2.e.a.127.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.841254 + 0.540641i) q^{2} +(-0.142315 - 0.989821i) q^{3} +(0.415415 + 0.909632i) q^{4} +(1.18639 + 0.348356i) q^{5} +(0.415415 - 0.909632i) q^{6} +(0.968468 - 1.11767i) q^{7} +(-0.142315 + 0.989821i) q^{8} +(-0.959493 + 0.281733i) q^{9} +O(q^{10})\) \(q+(0.841254 + 0.540641i) q^{2} +(-0.142315 - 0.989821i) q^{3} +(0.415415 + 0.909632i) q^{4} +(1.18639 + 0.348356i) q^{5} +(0.415415 - 0.909632i) q^{6} +(0.968468 - 1.11767i) q^{7} +(-0.142315 + 0.989821i) q^{8} +(-0.959493 + 0.281733i) q^{9} +(0.809721 + 0.934468i) q^{10} +(-0.745983 + 0.479414i) q^{11} +(0.841254 - 0.540641i) q^{12} +(-0.0440780 - 0.0508687i) q^{13} +(1.41899 - 0.416652i) q^{14} +(0.175969 - 1.22389i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(-1.78287 + 3.90393i) q^{17} +(-0.959493 - 0.281733i) q^{18} +(-1.93899 - 4.24579i) q^{19} +(0.175969 + 1.22389i) q^{20} +(-1.24412 - 0.799549i) q^{21} -0.886752 q^{22} +(-4.72041 - 0.847210i) q^{23} +1.00000 q^{24} +(-2.92009 - 1.87663i) q^{25} +(-0.00957906 - 0.0666238i) q^{26} +(0.415415 + 0.909632i) q^{27} +(1.41899 + 0.416652i) q^{28} +(-3.18962 + 6.98430i) q^{29} +(0.809721 - 0.934468i) q^{30} +(0.226488 - 1.57526i) q^{31} +(-0.959493 + 0.281733i) q^{32} +(0.580699 + 0.670163i) q^{33} +(-3.61047 + 2.32031i) q^{34} +(1.53833 - 0.988626i) q^{35} +(-0.654861 - 0.755750i) q^{36} +(5.01691 - 1.47310i) q^{37} +(0.664268 - 4.62008i) q^{38} +(-0.0440780 + 0.0508687i) q^{39} +(-0.513652 + 1.12474i) q^{40} +(0.130426 + 0.0382966i) q^{41} +(-0.614354 - 1.34525i) q^{42} +(-0.936145 - 6.51103i) q^{43} +(-0.745983 - 0.479414i) q^{44} -1.23648 q^{45} +(-3.51302 - 3.26476i) q^{46} +8.31271 q^{47} +(0.841254 + 0.540641i) q^{48} +(0.684944 + 4.76389i) q^{49} +(-1.44196 - 3.15744i) q^{50} +(4.11792 + 1.20913i) q^{51} +(0.0279611 - 0.0612263i) q^{52} +(1.96169 - 2.26391i) q^{53} +(-0.142315 + 0.989821i) q^{54} +(-1.05204 + 0.308906i) q^{55} +(0.968468 + 1.11767i) q^{56} +(-3.92663 + 2.52349i) q^{57} +(-6.45928 + 4.15112i) q^{58} +(4.47647 + 5.16612i) q^{59} +(1.18639 - 0.348356i) q^{60} +(0.654669 - 4.55332i) q^{61} +(1.04218 - 1.20274i) q^{62} +(-0.614354 + 1.34525i) q^{63} +(-0.959493 - 0.281733i) q^{64} +(-0.0345733 - 0.0757051i) q^{65} +(0.126198 + 0.877726i) q^{66} +(10.4358 + 6.70671i) q^{67} -4.29177 q^{68} +(-0.166803 + 4.79293i) q^{69} +1.82862 q^{70} +(-6.15647 - 3.95652i) q^{71} +(-0.142315 - 0.989821i) q^{72} +(5.48256 + 12.0051i) q^{73} +(5.01691 + 1.47310i) q^{74} +(-1.44196 + 3.15744i) q^{75} +(3.05662 - 3.52753i) q^{76} +(-0.186633 + 1.29806i) q^{77} +(-0.0645824 + 0.0189631i) q^{78} +(-5.16977 - 5.96624i) q^{79} +(-1.04019 + 0.668491i) q^{80} +(0.841254 - 0.540641i) q^{81} +(0.0890169 + 0.102731i) q^{82} +(8.06797 - 2.36897i) q^{83} +(0.210468 - 1.46384i) q^{84} +(-3.47514 + 4.01052i) q^{85} +(2.73259 - 5.98354i) q^{86} +(7.36714 + 2.16319i) q^{87} +(-0.368370 - 0.806618i) q^{88} +(-1.66842 - 11.6041i) q^{89} +(-1.04019 - 0.668491i) q^{90} -0.0995426 q^{91} +(-1.19028 - 4.64578i) q^{92} -1.59145 q^{93} +(6.99309 + 4.49419i) q^{94} +(-0.821353 - 5.71264i) q^{95} +(0.415415 + 0.909632i) q^{96} +(16.4711 + 4.83636i) q^{97} +(-1.99934 + 4.37795i) q^{98} +(0.580699 - 0.670163i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 10 q - q^{2} - q^{3} - q^{4} + 8 q^{5} - q^{6} + 8 q^{7} - q^{8} - q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 10 q - q^{2} - q^{3} - q^{4} + 8 q^{5} - q^{6} + 8 q^{7} - q^{8} - q^{9} - 3 q^{10} + 7 q^{11} - q^{12} + 3 q^{13} - 3 q^{14} - 3 q^{15} - q^{16} + 4 q^{17} - q^{18} - 3 q^{20} - 3 q^{21} - 26 q^{22} - 12 q^{23} + 10 q^{24} - 15 q^{25} + 3 q^{26} - q^{27} - 3 q^{28} - 25 q^{29} - 3 q^{30} + 6 q^{31} - q^{32} - 4 q^{33} - 7 q^{34} + 2 q^{35} - q^{36} + 9 q^{37} + 11 q^{38} + 3 q^{39} - 3 q^{40} + 24 q^{41} + 8 q^{42} - 30 q^{43} + 7 q^{44} - 14 q^{45} + 21 q^{46} - 48 q^{47} - q^{48} + 9 q^{49} + 7 q^{50} + 15 q^{51} + 14 q^{52} + 15 q^{53} - q^{54} - 23 q^{55} + 8 q^{56} - 11 q^{57} - 3 q^{58} + 5 q^{59} + 8 q^{60} + 12 q^{61} + 28 q^{62} + 8 q^{63} - q^{64} - 13 q^{65} + 18 q^{66} + 18 q^{67} - 18 q^{68} - q^{69} + 2 q^{70} + 28 q^{71} - q^{72} + 19 q^{73} + 9 q^{74} + 7 q^{75} + 22 q^{76} - 12 q^{77} - 8 q^{78} - 52 q^{79} + 8 q^{80} - q^{81} - 20 q^{82} + 7 q^{83} - 3 q^{84} + 23 q^{85} + 14 q^{86} + 30 q^{87} - 4 q^{88} + 3 q^{89} + 8 q^{90} + 42 q^{91} - 23 q^{92} - 16 q^{93} + 29 q^{94} + 22 q^{95} - q^{96} + 51 q^{97} - 2 q^{98} - 4 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(97\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.841254 + 0.540641i 0.594856 + 0.382291i
\(3\) −0.142315 0.989821i −0.0821655 0.571474i
\(4\) 0.415415 + 0.909632i 0.207708 + 0.454816i
\(5\) 1.18639 + 0.348356i 0.530571 + 0.155790i 0.536036 0.844195i \(-0.319921\pi\)
−0.00546462 + 0.999985i \(0.501739\pi\)
\(6\) 0.415415 0.909632i 0.169592 0.371356i
\(7\) 0.968468 1.11767i 0.366046 0.422440i −0.542610 0.839985i \(-0.682564\pi\)
0.908656 + 0.417545i \(0.137109\pi\)
\(8\) −0.142315 + 0.989821i −0.0503159 + 0.349955i
\(9\) −0.959493 + 0.281733i −0.319831 + 0.0939109i
\(10\) 0.809721 + 0.934468i 0.256056 + 0.295505i
\(11\) −0.745983 + 0.479414i −0.224922 + 0.144549i −0.648249 0.761428i \(-0.724499\pi\)
0.423327 + 0.905977i \(0.360862\pi\)
\(12\) 0.841254 0.540641i 0.242849 0.156070i
\(13\) −0.0440780 0.0508687i −0.0122250 0.0141084i 0.749604 0.661886i \(-0.230244\pi\)
−0.761829 + 0.647778i \(0.775698\pi\)
\(14\) 1.41899 0.416652i 0.379240 0.111355i
\(15\) 0.175969 1.22389i 0.0454351 0.316008i
\(16\) −0.654861 + 0.755750i −0.163715 + 0.188937i
\(17\) −1.78287 + 3.90393i −0.432409 + 0.946843i 0.560521 + 0.828140i \(0.310601\pi\)
−0.992930 + 0.118703i \(0.962126\pi\)
\(18\) −0.959493 0.281733i −0.226155 0.0664050i
\(19\) −1.93899 4.24579i −0.444834 0.974052i −0.990686 0.136169i \(-0.956521\pi\)
0.545851 0.837882i \(-0.316206\pi\)
\(20\) 0.175969 + 1.22389i 0.0393479 + 0.273671i
\(21\) −1.24412 0.799549i −0.271490 0.174476i
\(22\) −0.886752 −0.189056
\(23\) −4.72041 0.847210i −0.984273 0.176655i
\(24\) 1.00000 0.204124
\(25\) −2.92009 1.87663i −0.584018 0.375326i
\(26\) −0.00957906 0.0666238i −0.00187861 0.0130660i
\(27\) 0.415415 + 0.909632i 0.0799467 + 0.175059i
\(28\) 1.41899 + 0.416652i 0.268163 + 0.0787398i
\(29\) −3.18962 + 6.98430i −0.592298 + 1.29695i 0.341746 + 0.939792i \(0.388982\pi\)
−0.934044 + 0.357159i \(0.883745\pi\)
\(30\) 0.809721 0.934468i 0.147834 0.170610i
\(31\) 0.226488 1.57526i 0.0406784 0.282924i −0.959321 0.282316i \(-0.908897\pi\)
1.00000 0.000608171i \(-0.000193587\pi\)
\(32\) −0.959493 + 0.281733i −0.169616 + 0.0498038i
\(33\) 0.580699 + 0.670163i 0.101087 + 0.116660i
\(34\) −3.61047 + 2.32031i −0.619190 + 0.397929i
\(35\) 1.53833 0.988626i 0.260025 0.167108i
\(36\) −0.654861 0.755750i −0.109143 0.125958i
\(37\) 5.01691 1.47310i 0.824775 0.242176i 0.158004 0.987439i \(-0.449494\pi\)
0.666771 + 0.745263i \(0.267676\pi\)
\(38\) 0.664268 4.62008i 0.107758 0.749477i
\(39\) −0.0440780 + 0.0508687i −0.00705812 + 0.00814551i
\(40\) −0.513652 + 1.12474i −0.0812155 + 0.177837i
\(41\) 0.130426 + 0.0382966i 0.0203692 + 0.00598093i 0.291901 0.956448i \(-0.405712\pi\)
−0.271532 + 0.962429i \(0.587530\pi\)
\(42\) −0.614354 1.34525i −0.0947968 0.207576i
\(43\) −0.936145 6.51103i −0.142761 0.992923i −0.927694 0.373342i \(-0.878212\pi\)
0.784933 0.619581i \(-0.212697\pi\)
\(44\) −0.745983 0.479414i −0.112461 0.0722745i
\(45\) −1.23648 −0.184323
\(46\) −3.51302 3.26476i −0.517967 0.481363i
\(47\) 8.31271 1.21253 0.606266 0.795262i \(-0.292666\pi\)
0.606266 + 0.795262i \(0.292666\pi\)
\(48\) 0.841254 + 0.540641i 0.121424 + 0.0780348i
\(49\) 0.684944 + 4.76389i 0.0978492 + 0.680556i
\(50\) −1.44196 3.15744i −0.203923 0.446530i
\(51\) 4.11792 + 1.20913i 0.576625 + 0.169312i
\(52\) 0.0279611 0.0612263i 0.00387751 0.00849057i
\(53\) 1.96169 2.26391i 0.269458 0.310971i −0.604853 0.796337i \(-0.706768\pi\)
0.874311 + 0.485366i \(0.161314\pi\)
\(54\) −0.142315 + 0.989821i −0.0193666 + 0.134698i
\(55\) −1.05204 + 0.308906i −0.141857 + 0.0416528i
\(56\) 0.968468 + 1.11767i 0.129417 + 0.149355i
\(57\) −3.92663 + 2.52349i −0.520095 + 0.334245i
\(58\) −6.45928 + 4.15112i −0.848144 + 0.545069i
\(59\) 4.47647 + 5.16612i 0.582787 + 0.672572i 0.968202 0.250172i \(-0.0804870\pi\)
−0.385415 + 0.922743i \(0.625942\pi\)
\(60\) 1.18639 0.348356i 0.153163 0.0449726i
\(61\) 0.654669 4.55332i 0.0838218 0.582993i −0.904015 0.427500i \(-0.859394\pi\)
0.987837 0.155493i \(-0.0496966\pi\)
\(62\) 1.04218 1.20274i 0.132357 0.152748i
\(63\) −0.614354 + 1.34525i −0.0774013 + 0.169485i
\(64\) −0.959493 0.281733i −0.119937 0.0352166i
\(65\) −0.0345733 0.0757051i −0.00428830 0.00939006i
\(66\) 0.126198 + 0.877726i 0.0155339 + 0.108041i
\(67\) 10.4358 + 6.70671i 1.27494 + 0.819355i 0.990255 0.139266i \(-0.0444743\pi\)
0.284686 + 0.958621i \(0.408111\pi\)
\(68\) −4.29177 −0.520454
\(69\) −0.166803 + 4.79293i −0.0200807 + 0.577001i
\(70\) 1.82862 0.218562
\(71\) −6.15647 3.95652i −0.730639 0.469553i 0.121684 0.992569i \(-0.461170\pi\)
−0.852323 + 0.523016i \(0.824807\pi\)
\(72\) −0.142315 0.989821i −0.0167720 0.116652i
\(73\) 5.48256 + 12.0051i 0.641686 + 1.40510i 0.898646 + 0.438674i \(0.144552\pi\)
−0.256961 + 0.966422i \(0.582721\pi\)
\(74\) 5.01691 + 1.47310i 0.583204 + 0.171244i
\(75\) −1.44196 + 3.15744i −0.166503 + 0.364590i
\(76\) 3.05662 3.52753i 0.350619 0.404636i
\(77\) −0.186633 + 1.29806i −0.0212688 + 0.147928i
\(78\) −0.0645824 + 0.0189631i −0.00731252 + 0.00214715i
\(79\) −5.16977 5.96624i −0.581645 0.671254i 0.386313 0.922368i \(-0.373749\pi\)
−0.967958 + 0.251114i \(0.919203\pi\)
\(80\) −1.04019 + 0.668491i −0.116297 + 0.0747396i
\(81\) 0.841254 0.540641i 0.0934726 0.0600712i
\(82\) 0.0890169 + 0.102731i 0.00983027 + 0.0113447i
\(83\) 8.06797 2.36897i 0.885575 0.260028i 0.192848 0.981229i \(-0.438227\pi\)
0.692727 + 0.721200i \(0.256409\pi\)
\(84\) 0.210468 1.46384i 0.0229640 0.159718i
\(85\) −3.47514 + 4.01052i −0.376932 + 0.435002i
\(86\) 2.73259 5.98354i 0.294663 0.645222i
\(87\) 7.36714 + 2.16319i 0.789840 + 0.231918i
\(88\) −0.368370 0.806618i −0.0392684 0.0859858i
\(89\) −1.66842 11.6041i −0.176852 1.23004i −0.863990 0.503509i \(-0.832042\pi\)
0.687138 0.726527i \(-0.258867\pi\)
\(90\) −1.04019 0.668491i −0.109646 0.0704651i
\(91\) −0.0995426 −0.0104349
\(92\) −1.19028 4.64578i −0.124095 0.484356i
\(93\) −1.59145 −0.165026
\(94\) 6.99309 + 4.49419i 0.721283 + 0.463540i
\(95\) −0.821353 5.71264i −0.0842691 0.586104i
\(96\) 0.415415 + 0.909632i 0.0423981 + 0.0928389i
\(97\) 16.4711 + 4.83636i 1.67239 + 0.491058i 0.974357 0.225008i \(-0.0722409\pi\)
0.698033 + 0.716066i \(0.254059\pi\)
\(98\) −1.99934 + 4.37795i −0.201964 + 0.442240i
\(99\) 0.580699 0.670163i 0.0583625 0.0673539i
\(100\) 0.493992 3.43579i 0.0493992 0.343579i
\(101\) −5.74460 + 1.68677i −0.571609 + 0.167840i −0.554748 0.832018i \(-0.687185\pi\)
−0.0168608 + 0.999858i \(0.505367\pi\)
\(102\) 2.81051 + 3.24350i 0.278282 + 0.321155i
\(103\) −13.1585 + 8.45644i −1.29654 + 0.833238i −0.992831 0.119526i \(-0.961862\pi\)
−0.303712 + 0.952764i \(0.598226\pi\)
\(104\) 0.0566239 0.0363899i 0.00555243 0.00356833i
\(105\) −1.19749 1.38198i −0.116863 0.134867i
\(106\) 2.87423 0.843951i 0.279170 0.0819718i
\(107\) 1.96658 13.6779i 0.190117 1.32229i −0.641578 0.767057i \(-0.721720\pi\)
0.831695 0.555233i \(-0.187371\pi\)
\(108\) −0.654861 + 0.755750i −0.0630140 + 0.0727220i
\(109\) 4.48089 9.81177i 0.429191 0.939797i −0.564266 0.825593i \(-0.690841\pi\)
0.993457 0.114204i \(-0.0364319\pi\)
\(110\) −1.05204 0.308906i −0.100308 0.0294530i
\(111\) −2.17208 4.75620i −0.206165 0.451438i
\(112\) 0.210468 + 1.46384i 0.0198874 + 0.138320i
\(113\) −3.84480 2.47090i −0.361688 0.232443i 0.347157 0.937807i \(-0.387147\pi\)
−0.708845 + 0.705364i \(0.750783\pi\)
\(114\) −4.66759 −0.437160
\(115\) −5.30513 2.64951i −0.494705 0.247068i
\(116\) −7.67816 −0.712899
\(117\) 0.0566239 + 0.0363899i 0.00523488 + 0.00336425i
\(118\) 0.972830 + 6.76618i 0.0895563 + 0.622878i
\(119\) 2.63667 + 5.77349i 0.241703 + 0.529255i
\(120\) 1.18639 + 0.348356i 0.108302 + 0.0318004i
\(121\) −4.24291 + 9.29068i −0.385719 + 0.844607i
\(122\) 3.01245 3.47656i 0.272735 0.314753i
\(123\) 0.0193452 0.134549i 0.00174430 0.0121319i
\(124\) 1.52699 0.448364i 0.137128 0.0402643i
\(125\) −6.85925 7.91599i −0.613510 0.708028i
\(126\) −1.24412 + 0.799549i −0.110835 + 0.0712295i
\(127\) −12.1204 + 7.78931i −1.07551 + 0.691190i −0.953516 0.301341i \(-0.902566\pi\)
−0.121996 + 0.992531i \(0.538929\pi\)
\(128\) −0.654861 0.755750i −0.0578821 0.0667995i
\(129\) −6.31153 + 1.85323i −0.555699 + 0.163168i
\(130\) 0.0118443 0.0823789i 0.00103881 0.00722511i
\(131\) 2.99925 3.46132i 0.262045 0.302417i −0.609446 0.792828i \(-0.708608\pi\)
0.871491 + 0.490411i \(0.163153\pi\)
\(132\) −0.368370 + 0.806618i −0.0320625 + 0.0702071i
\(133\) −6.62325 1.94476i −0.574309 0.168632i
\(134\) 5.15327 + 11.2841i 0.445175 + 0.974796i
\(135\) 0.175969 + 1.22389i 0.0151450 + 0.105336i
\(136\) −3.61047 2.32031i −0.309595 0.198965i
\(137\) −9.22788 −0.788391 −0.394196 0.919027i \(-0.628977\pi\)
−0.394196 + 0.919027i \(0.628977\pi\)
\(138\) −2.73158 + 3.94189i −0.232527 + 0.335556i
\(139\) 7.82143 0.663405 0.331702 0.943384i \(-0.392377\pi\)
0.331702 + 0.943384i \(0.392377\pi\)
\(140\) 1.53833 + 0.988626i 0.130013 + 0.0835541i
\(141\) −1.18302 8.22810i −0.0996284 0.692931i
\(142\) −3.04009 6.65688i −0.255119 0.558633i
\(143\) 0.0572686 + 0.0168156i 0.00478904 + 0.00140619i
\(144\) 0.415415 0.909632i 0.0346179 0.0758027i
\(145\) −6.21717 + 7.17499i −0.516308 + 0.595851i
\(146\) −1.87824 + 13.0635i −0.155444 + 1.08114i
\(147\) 4.61792 1.35595i 0.380880 0.111836i
\(148\) 3.42408 + 3.95159i 0.281457 + 0.324819i
\(149\) −4.16624 + 2.67748i −0.341312 + 0.219348i −0.700056 0.714088i \(-0.746841\pi\)
0.358744 + 0.933436i \(0.383205\pi\)
\(150\) −2.92009 + 1.87663i −0.238425 + 0.153226i
\(151\) −10.0611 11.6111i −0.818757 0.944896i 0.180495 0.983576i \(-0.442230\pi\)
−0.999252 + 0.0386804i \(0.987685\pi\)
\(152\) 4.47852 1.31501i 0.363256 0.106662i
\(153\) 0.610783 4.24809i 0.0493789 0.343438i
\(154\) −0.858791 + 0.991098i −0.0692034 + 0.0798649i
\(155\) 0.817453 1.78997i 0.0656594 0.143774i
\(156\) −0.0645824 0.0189631i −0.00517073 0.00151826i
\(157\) 5.19570 + 11.3770i 0.414662 + 0.907983i 0.995571 + 0.0940146i \(0.0299701\pi\)
−0.580909 + 0.813969i \(0.697303\pi\)
\(158\) −1.12350 7.81411i −0.0893808 0.621657i
\(159\) −2.52004 1.61953i −0.199852 0.128437i
\(160\) −1.23648 −0.0977522
\(161\) −5.51846 + 4.45537i −0.434916 + 0.351132i
\(162\) 1.00000 0.0785674
\(163\) −8.77430 5.63890i −0.687257 0.441673i 0.149853 0.988708i \(-0.452120\pi\)
−0.837110 + 0.547035i \(0.815756\pi\)
\(164\) 0.0193452 + 0.134549i 0.00151061 + 0.0105065i
\(165\) 0.455482 + 0.997366i 0.0354592 + 0.0776449i
\(166\) 8.06797 + 2.36897i 0.626196 + 0.183868i
\(167\) −10.5384 + 23.0759i −0.815486 + 1.78567i −0.233732 + 0.972301i \(0.575094\pi\)
−0.581755 + 0.813364i \(0.697634\pi\)
\(168\) 0.968468 1.11767i 0.0747189 0.0862302i
\(169\) 1.84945 12.8632i 0.142265 0.989476i
\(170\) −5.09173 + 1.49507i −0.390518 + 0.114666i
\(171\) 3.05662 + 3.52753i 0.233746 + 0.269757i
\(172\) 5.53375 3.55633i 0.421945 0.271167i
\(173\) 14.4651 9.29615i 1.09976 0.706773i 0.140722 0.990049i \(-0.455058\pi\)
0.959039 + 0.283276i \(0.0914212\pi\)
\(174\) 5.02812 + 5.80276i 0.381181 + 0.439906i
\(175\) −4.92547 + 1.44625i −0.372331 + 0.109326i
\(176\) 0.126198 0.877726i 0.00951253 0.0661611i
\(177\) 4.47647 5.16612i 0.336472 0.388310i
\(178\) 4.87010 10.6640i 0.365030 0.799304i
\(179\) 5.86058 + 1.72082i 0.438040 + 0.128620i 0.493315 0.869851i \(-0.335785\pi\)
−0.0552742 + 0.998471i \(0.517603\pi\)
\(180\) −0.513652 1.12474i −0.0382854 0.0838332i
\(181\) −3.05836 21.2713i −0.227326 1.58109i −0.709304 0.704903i \(-0.750991\pi\)
0.481978 0.876183i \(-0.339919\pi\)
\(182\) −0.0837405 0.0538168i −0.00620726 0.00398916i
\(183\) −4.60015 −0.340053
\(184\) 1.51037 4.55179i 0.111346 0.335562i
\(185\) 6.46519 0.475330
\(186\) −1.33882 0.860405i −0.0981668 0.0630880i
\(187\) −0.541613 3.76700i −0.0396067 0.275470i
\(188\) 3.45322 + 7.56150i 0.251852 + 0.551479i
\(189\) 1.41899 + 0.416652i 0.103216 + 0.0303070i
\(190\) 2.39752 5.24983i 0.173934 0.380863i
\(191\) 1.85635 2.14235i 0.134321 0.155015i −0.684604 0.728915i \(-0.740025\pi\)
0.818925 + 0.573900i \(0.194570\pi\)
\(192\) −0.142315 + 0.989821i −0.0102707 + 0.0714342i
\(193\) 23.1120 6.78629i 1.66364 0.488488i 0.691398 0.722474i \(-0.256995\pi\)
0.972240 + 0.233986i \(0.0751770\pi\)
\(194\) 11.2417 + 12.9736i 0.807104 + 0.931448i
\(195\) −0.0700142 + 0.0449954i −0.00501382 + 0.00322219i
\(196\) −4.04885 + 2.60204i −0.289204 + 0.185860i
\(197\) 16.1131 + 18.5955i 1.14801 + 1.32488i 0.937781 + 0.347226i \(0.112876\pi\)
0.210232 + 0.977652i \(0.432578\pi\)
\(198\) 0.850833 0.249827i 0.0604660 0.0177544i
\(199\) −0.893429 + 6.21393i −0.0633335 + 0.440494i 0.933340 + 0.358994i \(0.116880\pi\)
−0.996673 + 0.0815000i \(0.974029\pi\)
\(200\) 2.27310 2.62330i 0.160732 0.185495i
\(201\) 5.15327 11.2841i 0.363483 0.795918i
\(202\) −5.74460 1.68677i −0.404189 0.118680i
\(203\) 4.71710 + 10.3290i 0.331076 + 0.724955i
\(204\) 0.610783 + 4.24809i 0.0427633 + 0.297426i
\(205\) 0.141396 + 0.0908697i 0.00987552 + 0.00634661i
\(206\) −15.6415 −1.08980
\(207\) 4.76788 0.517000i 0.331391 0.0359340i
\(208\) 0.0673089 0.00466703
\(209\) 3.48195 + 2.23771i 0.240851 + 0.154786i
\(210\) −0.260239 1.81001i −0.0179582 0.124902i
\(211\) 8.05469 + 17.6373i 0.554508 + 1.21420i 0.954645 + 0.297748i \(0.0962354\pi\)
−0.400137 + 0.916455i \(0.631037\pi\)
\(212\) 2.87423 + 0.843951i 0.197403 + 0.0579628i
\(213\) −3.04009 + 6.65688i −0.208304 + 0.456122i
\(214\) 9.04921 10.4433i 0.618591 0.713892i
\(215\) 1.15752 8.05075i 0.0789424 0.549057i
\(216\) −0.959493 + 0.281733i −0.0652852 + 0.0191695i
\(217\) −1.54127 1.77872i −0.104628 0.120748i
\(218\) 9.07421 5.83164i 0.614583 0.394968i
\(219\) 11.1027 7.13527i 0.750251 0.482157i
\(220\) −0.718022 0.828642i −0.0484091 0.0558670i
\(221\) 0.277173 0.0813853i 0.0186447 0.00547457i
\(222\) 0.744123 5.17549i 0.0499422 0.347356i
\(223\) −13.4728 + 15.5484i −0.902204 + 1.04120i 0.0967422 + 0.995309i \(0.469158\pi\)
−0.998947 + 0.0458898i \(0.985388\pi\)
\(224\) −0.614354 + 1.34525i −0.0410482 + 0.0898831i
\(225\) 3.33052 + 0.977928i 0.222034 + 0.0651952i
\(226\) −1.89858 4.15731i −0.126292 0.276540i
\(227\) 3.27655 + 22.7889i 0.217472 + 1.51255i 0.747323 + 0.664461i \(0.231339\pi\)
−0.529851 + 0.848091i \(0.677752\pi\)
\(228\) −3.92663 2.52349i −0.260047 0.167122i
\(229\) 7.50367 0.495857 0.247928 0.968778i \(-0.420250\pi\)
0.247928 + 0.968778i \(0.420250\pi\)
\(230\) −3.03052 5.09707i −0.199827 0.336091i
\(231\) 1.31141 0.0862845
\(232\) −6.45928 4.15112i −0.424072 0.272535i
\(233\) −3.46796 24.1202i −0.227194 1.58017i −0.709848 0.704355i \(-0.751236\pi\)
0.482654 0.875811i \(-0.339673\pi\)
\(234\) 0.0279611 + 0.0612263i 0.00182788 + 0.00400249i
\(235\) 9.86214 + 2.89578i 0.643335 + 0.188900i
\(236\) −2.83968 + 6.21803i −0.184847 + 0.404759i
\(237\) −5.16977 + 5.96624i −0.335813 + 0.387549i
\(238\) −0.903281 + 6.28246i −0.0585510 + 0.407231i
\(239\) −8.34418 + 2.45007i −0.539740 + 0.158482i −0.540229 0.841518i \(-0.681663\pi\)
0.000489053 1.00000i \(0.499844\pi\)
\(240\) 0.809721 + 0.934468i 0.0522673 + 0.0603197i
\(241\) −4.77592 + 3.06930i −0.307644 + 0.197711i −0.685348 0.728216i \(-0.740350\pi\)
0.377704 + 0.925926i \(0.376714\pi\)
\(242\) −8.59229 + 5.52193i −0.552333 + 0.354963i
\(243\) −0.654861 0.755750i −0.0420093 0.0484814i
\(244\) 4.41381 1.29601i 0.282565 0.0829686i
\(245\) −0.846919 + 5.89045i −0.0541077 + 0.376327i
\(246\) 0.0890169 0.102731i 0.00567551 0.00654989i
\(247\) −0.130511 + 0.285780i −0.00830423 + 0.0181837i
\(248\) 1.52699 + 0.448364i 0.0969639 + 0.0284712i
\(249\) −3.49305 7.64871i −0.221363 0.484717i
\(250\) −1.49066 10.3677i −0.0942774 0.655714i
\(251\) 5.03416 + 3.23526i 0.317753 + 0.204208i 0.689788 0.724011i \(-0.257704\pi\)
−0.372035 + 0.928219i \(0.621340\pi\)
\(252\) −1.47889 −0.0931614
\(253\) 3.92751 1.63103i 0.246920 0.102542i
\(254\) −14.4076 −0.904010
\(255\) 4.46427 + 2.86901i 0.279563 + 0.179664i
\(256\) −0.142315 0.989821i −0.00889468 0.0618638i
\(257\) 6.46313 + 14.1523i 0.403159 + 0.882794i 0.996940 + 0.0781681i \(0.0249071\pi\)
−0.593781 + 0.804626i \(0.702366\pi\)
\(258\) −6.31153 1.85323i −0.392939 0.115377i
\(259\) 3.21228 7.03390i 0.199601 0.437065i
\(260\) 0.0545015 0.0628980i 0.00338004 0.00390077i
\(261\) 1.09272 7.60000i 0.0676374 0.470428i
\(262\) 4.39446 1.29033i 0.271490 0.0797168i
\(263\) −6.72323 7.75903i −0.414572 0.478442i 0.509603 0.860409i \(-0.329792\pi\)
−0.924176 + 0.381967i \(0.875247\pi\)
\(264\) −0.745983 + 0.479414i −0.0459121 + 0.0295059i
\(265\) 3.11597 2.00252i 0.191413 0.123014i
\(266\) −4.52041 5.21684i −0.277164 0.319865i
\(267\) −11.2486 + 3.30288i −0.688402 + 0.202133i
\(268\) −1.76543 + 12.2788i −0.107841 + 0.750050i
\(269\) 2.12380 2.45100i 0.129491 0.149440i −0.687301 0.726372i \(-0.741205\pi\)
0.816792 + 0.576932i \(0.195750\pi\)
\(270\) −0.513652 + 1.12474i −0.0312599 + 0.0684495i
\(271\) −14.8782 4.36865i −0.903789 0.265376i −0.203365 0.979103i \(-0.565188\pi\)
−0.700424 + 0.713727i \(0.747006\pi\)
\(272\) −1.78287 3.90393i −0.108102 0.236711i
\(273\) 0.0141664 + 0.0985294i 0.000857389 + 0.00596327i
\(274\) −7.76299 4.98897i −0.468979 0.301395i
\(275\) 3.07802 0.185612
\(276\) −4.42909 + 1.83933i −0.266600 + 0.110714i
\(277\) 2.16313 0.129970 0.0649849 0.997886i \(-0.479300\pi\)
0.0649849 + 0.997886i \(0.479300\pi\)
\(278\) 6.57980 + 4.22858i 0.394630 + 0.253613i
\(279\) 0.226488 + 1.57526i 0.0135595 + 0.0943081i
\(280\) 0.759635 + 1.66337i 0.0453969 + 0.0994053i
\(281\) −19.7234 5.79132i −1.17660 0.345481i −0.365738 0.930718i \(-0.619183\pi\)
−0.810863 + 0.585237i \(0.801002\pi\)
\(282\) 3.45322 7.56150i 0.205636 0.450281i
\(283\) −11.0909 + 12.7996i −0.659288 + 0.760859i −0.982661 0.185412i \(-0.940638\pi\)
0.323372 + 0.946272i \(0.395183\pi\)
\(284\) 1.04149 7.24372i 0.0618011 0.429836i
\(285\) −5.53760 + 1.62599i −0.328019 + 0.0963151i
\(286\) 0.0390862 + 0.0451079i 0.00231122 + 0.00266729i
\(287\) 0.169117 0.108685i 0.00998264 0.00641546i
\(288\) 0.841254 0.540641i 0.0495713 0.0318576i
\(289\) −0.929446 1.07264i −0.0546733 0.0630963i
\(290\) −9.10931 + 2.67473i −0.534917 + 0.157066i
\(291\) 2.44305 16.9918i 0.143214 0.996075i
\(292\) −8.64272 + 9.97423i −0.505777 + 0.583698i
\(293\) 0.856727 1.87597i 0.0500505 0.109595i −0.882955 0.469458i \(-0.844449\pi\)
0.933005 + 0.359863i \(0.117177\pi\)
\(294\) 4.61792 + 1.35595i 0.269323 + 0.0790803i
\(295\) 3.51120 + 7.68846i 0.204430 + 0.447639i
\(296\) 0.744123 + 5.17549i 0.0432513 + 0.300819i
\(297\) −0.745983 0.479414i −0.0432864 0.0278184i
\(298\) −4.95242 −0.286886
\(299\) 0.164969 + 0.277464i 0.00954043 + 0.0160462i
\(300\) −3.47112 −0.200405
\(301\) −8.18382 5.25942i −0.471707 0.303148i
\(302\) −2.18648 15.2073i −0.125818 0.875080i
\(303\) 2.48714 + 5.44608i 0.142882 + 0.312869i
\(304\) 4.47852 + 1.31501i 0.256861 + 0.0754212i
\(305\) 2.36287 5.17397i 0.135298 0.296261i
\(306\) 2.81051 3.24350i 0.160666 0.185419i
\(307\) 0.581067 4.04141i 0.0331633 0.230656i −0.966498 0.256673i \(-0.917374\pi\)
0.999661 + 0.0260178i \(0.00828265\pi\)
\(308\) −1.25829 + 0.369467i −0.0716977 + 0.0210523i
\(309\) 10.2430 + 11.8211i 0.582705 + 0.672477i
\(310\) 1.65542 1.06387i 0.0940214 0.0604239i
\(311\) −10.7254 + 6.89278i −0.608180 + 0.390854i −0.808174 0.588944i \(-0.799544\pi\)
0.199994 + 0.979797i \(0.435908\pi\)
\(312\) −0.0440780 0.0508687i −0.00249542 0.00287987i
\(313\) 7.46705 2.19252i 0.422062 0.123929i −0.0638026 0.997963i \(-0.520323\pi\)
0.485865 + 0.874034i \(0.338505\pi\)
\(314\) −1.77997 + 12.3799i −0.100449 + 0.698641i
\(315\) −1.19749 + 1.38198i −0.0674709 + 0.0778656i
\(316\) 3.27948 7.18106i 0.184485 0.403966i
\(317\) −18.9507 5.56442i −1.06438 0.312529i −0.297764 0.954640i \(-0.596241\pi\)
−0.766612 + 0.642111i \(0.778059\pi\)
\(318\) −1.24441 2.72487i −0.0697829 0.152803i
\(319\) −0.968968 6.73932i −0.0542518 0.377329i
\(320\) −1.04019 0.668491i −0.0581485 0.0373698i
\(321\) −13.8185 −0.771275
\(322\) −7.05118 + 0.764587i −0.392947 + 0.0426088i
\(323\) 20.0322 1.11462
\(324\) 0.841254 + 0.540641i 0.0467363 + 0.0300356i
\(325\) 0.0332501 + 0.231259i 0.00184438 + 0.0128280i
\(326\) −4.33279 9.48749i −0.239971 0.525464i
\(327\) −10.3496 3.03892i −0.572334 0.168052i
\(328\) −0.0564684 + 0.123649i −0.00311795 + 0.00682735i
\(329\) 8.05059 9.29088i 0.443843 0.512223i
\(330\) −0.156041 + 1.08529i −0.00858978 + 0.0597433i
\(331\) 4.11794 1.20914i 0.226342 0.0664601i −0.166595 0.986025i \(-0.553277\pi\)
0.392937 + 0.919565i \(0.371459\pi\)
\(332\) 5.50645 + 6.35478i 0.302206 + 0.348764i
\(333\) −4.39867 + 2.82685i −0.241046 + 0.154911i
\(334\) −21.3412 + 13.7152i −1.16774 + 0.750461i
\(335\) 10.0447 + 11.5922i 0.548800 + 0.633349i
\(336\) 1.41899 0.416652i 0.0774120 0.0227302i
\(337\) −4.12123 + 28.6637i −0.224497 + 1.56141i 0.496227 + 0.868193i \(0.334718\pi\)
−0.720725 + 0.693221i \(0.756191\pi\)
\(338\) 8.51022 9.82132i 0.462895 0.534209i
\(339\) −1.89858 + 4.15731i −0.103117 + 0.225794i
\(340\) −5.09173 1.49507i −0.276138 0.0810813i
\(341\) 0.586244 + 1.28370i 0.0317469 + 0.0695160i
\(342\) 0.664268 + 4.62008i 0.0359195 + 0.249826i
\(343\) 14.6967 + 9.44498i 0.793546 + 0.509981i
\(344\) 6.57798 0.354661
\(345\) −1.86754 + 5.62819i −0.100545 + 0.303012i
\(346\) 17.1947 0.924392
\(347\) −15.8066 10.1583i −0.848542 0.545325i 0.0425775 0.999093i \(-0.486443\pi\)
−0.891120 + 0.453768i \(0.850079\pi\)
\(348\) 1.09272 + 7.60000i 0.0585757 + 0.407403i
\(349\) −6.47312 14.1742i −0.346498 0.758726i −0.999998 0.00179906i \(-0.999427\pi\)
0.653500 0.756926i \(-0.273300\pi\)
\(350\) −4.92547 1.44625i −0.263277 0.0773052i
\(351\) 0.0279611 0.0612263i 0.00149245 0.00326802i
\(352\) 0.580699 0.670163i 0.0309514 0.0357198i
\(353\) 3.30751 23.0043i 0.176041 1.22439i −0.689772 0.724026i \(-0.742289\pi\)
0.865813 0.500367i \(-0.166802\pi\)
\(354\) 6.55886 1.92586i 0.348600 0.102358i
\(355\) −5.92571 6.83864i −0.314504 0.362957i
\(356\) 9.86241 6.33818i 0.522706 0.335923i
\(357\) 5.33949 3.43148i 0.282596 0.181613i
\(358\) 3.99989 + 4.61612i 0.211401 + 0.243969i
\(359\) −13.8642 + 4.07088i −0.731722 + 0.214853i −0.626308 0.779575i \(-0.715435\pi\)
−0.105414 + 0.994428i \(0.533617\pi\)
\(360\) 0.175969 1.22389i 0.00927440 0.0645048i
\(361\) −1.82472 + 2.10584i −0.0960381 + 0.110834i
\(362\) 8.92730 19.5481i 0.469209 1.02742i
\(363\) 9.79994 + 2.87752i 0.514364 + 0.151031i
\(364\) −0.0413515 0.0905471i −0.00216741 0.00474596i
\(365\) 2.32241 + 16.1527i 0.121560 + 0.845471i
\(366\) −3.86989 2.48703i −0.202282 0.129999i
\(367\) 26.6056 1.38880 0.694400 0.719589i \(-0.255670\pi\)
0.694400 + 0.719589i \(0.255670\pi\)
\(368\) 3.73149 3.01264i 0.194517 0.157045i
\(369\) −0.135933 −0.00707636
\(370\) 5.43886 + 3.49534i 0.282753 + 0.181714i
\(371\) −0.630473 4.38504i −0.0327326 0.227660i
\(372\) −0.661114 1.44764i −0.0342772 0.0750565i
\(373\) 4.68285 + 1.37501i 0.242469 + 0.0711952i 0.400709 0.916205i \(-0.368764\pi\)
−0.158240 + 0.987401i \(0.550582\pi\)
\(374\) 1.58096 3.46182i 0.0817495 0.179007i
\(375\) −6.85925 + 7.91599i −0.354210 + 0.408780i
\(376\) −1.18302 + 8.22810i −0.0610097 + 0.424332i
\(377\) 0.495874 0.145602i 0.0255388 0.00749887i
\(378\) 0.968468 + 1.11767i 0.0498126 + 0.0574868i
\(379\) 2.86938 1.84404i 0.147390 0.0947219i −0.464867 0.885380i \(-0.653898\pi\)
0.612257 + 0.790658i \(0.290262\pi\)
\(380\) 4.85519 3.12024i 0.249066 0.160065i
\(381\) 9.43494 + 10.8885i 0.483367 + 0.557835i
\(382\) 2.71990 0.798636i 0.139162 0.0408618i
\(383\) 4.03782 28.0837i 0.206323 1.43501i −0.578699 0.815541i \(-0.696439\pi\)
0.785022 0.619468i \(-0.212652\pi\)
\(384\) −0.654861 + 0.755750i −0.0334182 + 0.0385667i
\(385\) −0.673608 + 1.47500i −0.0343303 + 0.0751728i
\(386\) 23.1120 + 6.78629i 1.17637 + 0.345413i
\(387\) 2.73259 + 5.98354i 0.138906 + 0.304161i
\(388\) 2.44305 + 16.9918i 0.124027 + 0.862626i
\(389\) −8.96250 5.75985i −0.454417 0.292036i 0.293341 0.956008i \(-0.405233\pi\)
−0.747757 + 0.663972i \(0.768869\pi\)
\(390\) −0.0832260 −0.00421431
\(391\) 11.7233 16.9177i 0.592873 0.855564i
\(392\) −4.81288 −0.243087
\(393\) −3.85292 2.47612i −0.194354 0.124904i
\(394\) 3.50172 + 24.3550i 0.176414 + 1.22699i
\(395\) −4.05501 8.87922i −0.204029 0.446762i
\(396\) 0.850833 + 0.249827i 0.0427559 + 0.0125543i
\(397\) 8.68866 19.0255i 0.436071 0.954863i −0.556231 0.831028i \(-0.687753\pi\)
0.992303 0.123836i \(-0.0395196\pi\)
\(398\) −4.11111 + 4.74447i −0.206071 + 0.237819i
\(399\) −0.982380 + 6.83260i −0.0491805 + 0.342058i
\(400\) 3.33052 0.977928i 0.166526 0.0488964i
\(401\) −2.65293 3.06164i −0.132481 0.152891i 0.685633 0.727948i \(-0.259526\pi\)
−0.818114 + 0.575056i \(0.804980\pi\)
\(402\) 10.4358 6.70671i 0.520492 0.334500i
\(403\) −0.0901143 + 0.0579129i −0.00448891 + 0.00288485i
\(404\) −3.92073 4.52476i −0.195064 0.225115i
\(405\) 1.18639 0.348356i 0.0589523 0.0173100i
\(406\) −1.61601 + 11.2396i −0.0802011 + 0.557811i
\(407\) −3.03631 + 3.50408i −0.150504 + 0.173691i
\(408\) −1.78287 + 3.90393i −0.0882650 + 0.193273i
\(409\) −23.3930 6.86879i −1.15671 0.339640i −0.353555 0.935414i \(-0.615027\pi\)
−0.803152 + 0.595774i \(0.796845\pi\)
\(410\) 0.0698220 + 0.152889i 0.00344826 + 0.00755064i
\(411\) 1.31326 + 9.13396i 0.0647786 + 0.450545i
\(412\) −13.1585 8.45644i −0.648272 0.416619i
\(413\) 10.1093 0.497448
\(414\) 4.29051 + 2.14278i 0.210867 + 0.105312i
\(415\) 10.3970 0.510370
\(416\) 0.0566239 + 0.0363899i 0.00277621 + 0.00178416i
\(417\) −1.11310 7.74181i −0.0545090 0.379118i
\(418\) 1.71940 + 3.76497i 0.0840987 + 0.184151i
\(419\) −13.5462 3.97753i −0.661777 0.194315i −0.0664387 0.997791i \(-0.521164\pi\)
−0.595338 + 0.803475i \(0.702982\pi\)
\(420\) 0.759635 1.66337i 0.0370664 0.0811641i
\(421\) −14.6127 + 16.8639i −0.712179 + 0.821898i −0.990343 0.138635i \(-0.955728\pi\)
0.278165 + 0.960533i \(0.410274\pi\)
\(422\) −2.75941 + 19.1922i −0.134326 + 0.934259i
\(423\) −7.97598 + 2.34196i −0.387806 + 0.113870i
\(424\) 1.96169 + 2.26391i 0.0952679 + 0.109945i
\(425\) 12.5324 8.05406i 0.607909 0.390679i
\(426\) −6.15647 + 3.95652i −0.298282 + 0.191694i
\(427\) −4.45509 5.14145i −0.215597 0.248812i
\(428\) 13.2588 3.89313i 0.640887 0.188182i
\(429\) 0.00849425 0.0590788i 0.000410106 0.00285235i
\(430\) 5.32633 6.14692i 0.256859 0.296431i
\(431\) −7.48448 + 16.3887i −0.360515 + 0.789417i 0.639276 + 0.768977i \(0.279234\pi\)
−0.999791 + 0.0204400i \(0.993493\pi\)
\(432\) −0.959493 0.281733i −0.0461636 0.0135549i
\(433\) 8.60579 + 18.8441i 0.413568 + 0.905588i 0.995712 + 0.0925023i \(0.0294865\pi\)
−0.582144 + 0.813085i \(0.697786\pi\)
\(434\) −0.334950 2.32963i −0.0160781 0.111826i
\(435\) 7.98676 + 5.13278i 0.382936 + 0.246098i
\(436\) 10.7865 0.516581
\(437\) 5.55574 + 21.6846i 0.265767 + 1.03731i
\(438\) 13.1978 0.630615
\(439\) −11.4339 7.34811i −0.545709 0.350706i 0.238559 0.971128i \(-0.423325\pi\)
−0.784268 + 0.620422i \(0.786961\pi\)
\(440\) −0.156041 1.08529i −0.00743897 0.0517392i
\(441\) −1.99934 4.37795i −0.0952068 0.208474i
\(442\) 0.277173 + 0.0813853i 0.0131838 + 0.00387111i
\(443\) 4.32136 9.46245i 0.205314 0.449575i −0.778763 0.627318i \(-0.784153\pi\)
0.984077 + 0.177744i \(0.0568798\pi\)
\(444\) 3.42408 3.95159i 0.162499 0.187534i
\(445\) 2.06297 14.3483i 0.0977941 0.680173i
\(446\) −19.7401 + 5.79623i −0.934723 + 0.274459i
\(447\) 3.24314 + 3.74279i 0.153395 + 0.177028i
\(448\) −1.24412 + 0.799549i −0.0587793 + 0.0377751i
\(449\) 9.02816 5.80205i 0.426065 0.273816i −0.309986 0.950741i \(-0.600324\pi\)
0.736052 + 0.676925i \(0.236688\pi\)
\(450\) 2.27310 + 2.62330i 0.107155 + 0.123663i
\(451\) −0.115656 + 0.0339596i −0.00544602 + 0.00159910i
\(452\) 0.650424 4.52380i 0.0305934 0.212782i
\(453\) −10.0611 + 11.6111i −0.472709 + 0.545536i
\(454\) −9.56420 + 20.9427i −0.448870 + 0.982888i
\(455\) −0.118097 0.0346763i −0.00553645 0.00162565i
\(456\) −1.93899 4.24579i −0.0908015 0.198827i
\(457\) −0.120293 0.836659i −0.00562709 0.0391373i 0.986814 0.161856i \(-0.0517479\pi\)
−0.992442 + 0.122718i \(0.960839\pi\)
\(458\) 6.31249 + 4.05679i 0.294963 + 0.189561i
\(459\) −4.29177 −0.200323
\(460\) 0.206248 5.92636i 0.00961635 0.276318i
\(461\) −17.2385 −0.802875 −0.401437 0.915886i \(-0.631489\pi\)
−0.401437 + 0.915886i \(0.631489\pi\)
\(462\) 1.10323 + 0.709002i 0.0513268 + 0.0329858i
\(463\) 0.257950 + 1.79408i 0.0119879 + 0.0833780i 0.994937 0.100500i \(-0.0320441\pi\)
−0.982949 + 0.183878i \(0.941135\pi\)
\(464\) −3.18962 6.98430i −0.148074 0.324238i
\(465\) −1.88809 0.554393i −0.0875581 0.0257094i
\(466\) 10.1229 22.1661i 0.468936 1.02683i
\(467\) 21.4942 24.8056i 0.994632 1.14787i 0.00562656 0.999984i \(-0.498209\pi\)
0.989005 0.147882i \(-0.0472455\pi\)
\(468\) −0.00957906 + 0.0666238i −0.000442792 + 0.00307969i
\(469\) 17.6027 5.16861i 0.812816 0.238664i
\(470\) 6.73098 + 7.76796i 0.310477 + 0.358309i
\(471\) 10.5218 6.76193i 0.484818 0.311573i
\(472\) −5.75061 + 3.69569i −0.264693 + 0.170108i
\(473\) 3.81983 + 4.40832i 0.175636 + 0.202695i
\(474\) −7.57468 + 2.22413i −0.347917 + 0.102158i
\(475\) −2.30575 + 16.0369i −0.105795 + 0.735822i
\(476\) −4.15644 + 4.79679i −0.190510 + 0.219861i
\(477\) −1.24441 + 2.72487i −0.0569775 + 0.124763i
\(478\) −8.34418 2.45007i −0.381654 0.112064i
\(479\) −8.40139 18.3965i −0.383869 0.840556i −0.998654 0.0518616i \(-0.983485\pi\)
0.614785 0.788695i \(-0.289243\pi\)
\(480\) 0.175969 + 1.22389i 0.00803186 + 0.0558628i
\(481\) −0.296070 0.190272i −0.0134996 0.00867567i
\(482\) −5.67714 −0.258587
\(483\) 5.19538 + 4.82823i 0.236398 + 0.219692i
\(484\) −10.2137 −0.464258
\(485\) 17.8564 + 11.4756i 0.810820 + 0.521082i
\(486\) −0.142315 0.989821i −0.00645553 0.0448992i
\(487\) −16.4337 35.9848i −0.744683 1.63063i −0.775694 0.631109i \(-0.782600\pi\)
0.0310108 0.999519i \(-0.490127\pi\)
\(488\) 4.41381 + 1.29601i 0.199804 + 0.0586676i
\(489\) −4.33279 + 9.48749i −0.195936 + 0.429039i
\(490\) −3.89709 + 4.49748i −0.176053 + 0.203176i
\(491\) −3.46222 + 24.0803i −0.156248 + 1.08673i 0.749223 + 0.662318i \(0.230427\pi\)
−0.905471 + 0.424409i \(0.860482\pi\)
\(492\) 0.130426 0.0382966i 0.00588007 0.00172654i
\(493\) −21.5796 24.9041i −0.971894 1.12163i
\(494\) −0.264297 + 0.169853i −0.0118913 + 0.00764207i
\(495\) 0.922393 0.592786i 0.0414585 0.0266437i
\(496\) 1.04218 + 1.20274i 0.0467953 + 0.0540047i
\(497\) −10.3844 + 3.04915i −0.465806 + 0.136773i
\(498\) 1.19667 8.32299i 0.0536239 0.372962i
\(499\) 10.3963 11.9980i 0.465402 0.537103i −0.473725 0.880673i \(-0.657091\pi\)
0.939127 + 0.343570i \(0.111636\pi\)
\(500\) 4.35121 9.52781i 0.194592 0.426097i
\(501\) 24.3408 + 7.14710i 1.08747 + 0.319309i
\(502\) 2.48589 + 5.44334i 0.110951 + 0.242948i
\(503\) −0.931282 6.47721i −0.0415238 0.288804i −0.999993 0.00360998i \(-0.998851\pi\)
0.958470 0.285194i \(-0.0920582\pi\)
\(504\) −1.24412 0.799549i −0.0554176 0.0356147i
\(505\) −7.40295 −0.329427
\(506\) 4.18583 + 0.751265i 0.186083 + 0.0333978i
\(507\) −12.9955 −0.577149
\(508\) −12.1204 7.78931i −0.537756 0.345595i
\(509\) 2.54211 + 17.6808i 0.112677 + 0.783686i 0.965297 + 0.261155i \(0.0841033\pi\)
−0.852620 + 0.522532i \(0.824988\pi\)
\(510\) 2.20448 + 4.82713i 0.0976159 + 0.213749i
\(511\) 18.7275 + 5.49889i 0.828456 + 0.243256i
\(512\) 0.415415 0.909632i 0.0183589 0.0402004i
\(513\) 3.05662 3.52753i 0.134953 0.155744i
\(514\) −2.21417 + 15.3999i −0.0976628 + 0.679259i
\(515\) −18.5570 + 5.44882i −0.817718 + 0.240104i
\(516\) −4.30766 4.97131i −0.189634 0.218850i
\(517\) −6.20114 + 3.98523i −0.272726 + 0.175270i
\(518\) 6.50515 4.18061i 0.285820 0.183685i
\(519\) −11.2601 12.9949i −0.494265 0.570412i
\(520\) 0.0798548 0.0234475i 0.00350186 0.00102824i
\(521\) −1.68411 + 11.7133i −0.0737824 + 0.513168i 0.919096 + 0.394034i \(0.128921\pi\)
−0.992878 + 0.119134i \(0.961988\pi\)
\(522\) 5.02812 5.80276i 0.220075 0.253980i
\(523\) −6.65182 + 14.5655i −0.290864 + 0.636903i −0.997499 0.0706745i \(-0.977485\pi\)
0.706635 + 0.707578i \(0.250212\pi\)
\(524\) 4.39446 + 1.29033i 0.191973 + 0.0563683i
\(525\) 2.13250 + 4.66951i 0.0930697 + 0.203794i
\(526\) −1.46110 10.1622i −0.0637069 0.443091i
\(527\) 5.74589 + 3.69266i 0.250295 + 0.160855i
\(528\) −0.886752 −0.0385909
\(529\) 21.5645 + 7.99835i 0.937586 + 0.347754i
\(530\) 3.70397 0.160890
\(531\) −5.75061 3.69569i −0.249555 0.160379i
\(532\) −0.982380 6.83260i −0.0425916 0.296231i
\(533\) −0.00380083 0.00832265i −0.000164632 0.000360494i
\(534\) −11.2486 3.30288i −0.486774 0.142930i
\(535\) 7.09791 15.5423i 0.306870 0.671951i
\(536\) −8.12362 + 9.37515i −0.350887 + 0.404945i
\(537\) 0.869259 6.04583i 0.0375113 0.260897i
\(538\) 3.11177 0.913697i 0.134158 0.0393923i
\(539\) −2.79484 3.22541i −0.120382 0.138928i
\(540\) −1.04019 + 0.668491i −0.0447627 + 0.0287673i
\(541\) −16.4485 + 10.5708i −0.707176 + 0.454474i −0.844155 0.536100i \(-0.819897\pi\)
0.136979 + 0.990574i \(0.456261\pi\)
\(542\) −10.1545 11.7189i −0.436173 0.503371i
\(543\) −20.6196 + 6.05445i −0.884871 + 0.259822i
\(544\) 0.610783 4.24809i 0.0261871 0.182135i
\(545\) 8.73408 10.0797i 0.374127 0.431766i
\(546\) −0.0413515 + 0.0905471i −0.00176968 + 0.00387506i
\(547\) 1.08922 + 0.319825i 0.0465718 + 0.0136747i 0.304936 0.952373i \(-0.401365\pi\)
−0.258364 + 0.966048i \(0.583183\pi\)
\(548\) −3.83340 8.39398i −0.163755 0.358573i
\(549\) 0.654669 + 4.55332i 0.0279406 + 0.194331i
\(550\) 2.58940 + 1.66411i 0.110412 + 0.0709577i
\(551\) 35.8385 1.52677
\(552\) −4.72041 0.847210i −0.200914 0.0360596i
\(553\) −11.6751 −0.496474
\(554\) 1.81974 + 1.16948i 0.0773134 + 0.0496863i
\(555\) −0.920092 6.39938i −0.0390557 0.271639i
\(556\) 3.24914 + 7.11462i 0.137794 + 0.301727i
\(557\) −39.5797 11.6216i −1.67704 0.492425i −0.701581 0.712589i \(-0.747522\pi\)
−0.975463 + 0.220165i \(0.929340\pi\)
\(558\) −0.661114 + 1.44764i −0.0279872 + 0.0612834i
\(559\) −0.289944 + 0.334613i −0.0122633 + 0.0141526i
\(560\) −0.260239 + 1.81001i −0.0109971 + 0.0764867i
\(561\) −3.65158 + 1.07220i −0.154170 + 0.0452683i
\(562\) −13.4614 15.5353i −0.567834 0.655315i
\(563\) −23.7576 + 15.2681i −1.00126 + 0.643472i −0.935117 0.354338i \(-0.884706\pi\)
−0.0661443 + 0.997810i \(0.521070\pi\)
\(564\) 6.99309 4.49419i 0.294462 0.189239i
\(565\) −3.70069 4.27082i −0.155689 0.179675i
\(566\) −16.2503 + 4.77152i −0.683051 + 0.200562i
\(567\) 0.210468 1.46384i 0.00883883 0.0614754i
\(568\) 4.79241 5.53073i 0.201085 0.232064i
\(569\) −17.2528 + 37.7784i −0.723276 + 1.58375i 0.0859792 + 0.996297i \(0.472598\pi\)
−0.809255 + 0.587457i \(0.800129\pi\)
\(570\) −5.53760 1.62599i −0.231945 0.0681051i
\(571\) −13.0934 28.6706i −0.547943 1.19983i −0.957736 0.287649i \(-0.907126\pi\)
0.409793 0.912178i \(-0.365601\pi\)
\(572\) 0.00849425 + 0.0590788i 0.000355162 + 0.00247021i
\(573\) −2.38473 1.53257i −0.0996234 0.0640241i
\(574\) 0.201029 0.00839081
\(575\) 12.1941 + 11.3324i 0.508530 + 0.472593i
\(576\) 1.00000 0.0416667
\(577\) 17.3206 + 11.1313i 0.721065 + 0.463400i 0.849007 0.528381i \(-0.177201\pi\)
−0.127942 + 0.991782i \(0.540837\pi\)
\(578\) −0.201988 1.40486i −0.00840159 0.0584343i
\(579\) −10.0064 21.9110i −0.415852 0.910588i
\(580\) −9.10931 2.67473i −0.378243 0.111062i
\(581\) 5.16584 11.3116i 0.214315 0.469285i
\(582\) 11.2417 12.9736i 0.465982 0.537772i
\(583\) −0.378036 + 2.62930i −0.0156566 + 0.108894i
\(584\) −12.6632 + 3.71825i −0.524007 + 0.153862i
\(585\) 0.0545015 + 0.0628980i 0.00225336 + 0.00260051i
\(586\) 1.73495 1.11498i 0.0716701 0.0460596i
\(587\) 7.15977 4.60131i 0.295515 0.189916i −0.384479 0.923134i \(-0.625619\pi\)
0.679994 + 0.733218i \(0.261982\pi\)
\(588\) 3.15177 + 3.63733i 0.129977 + 0.150001i
\(589\) −7.12736 + 2.09278i −0.293678 + 0.0862316i
\(590\) −1.20288 + 8.36624i −0.0495219 + 0.344433i
\(591\) 16.1131 18.5955i 0.662806 0.764918i
\(592\) −2.17208 + 4.75620i −0.0892721 + 0.195479i
\(593\) 9.09061 + 2.66924i 0.373306 + 0.109613i 0.463004 0.886356i \(-0.346772\pi\)
−0.0896971 + 0.995969i \(0.528590\pi\)
\(594\) −0.368370 0.806618i −0.0151144 0.0330959i
\(595\) 1.11689 + 7.76813i 0.0457880 + 0.318462i
\(596\) −4.16624 2.67748i −0.170656 0.109674i
\(597\) 6.27783 0.256935
\(598\) −0.0112273 + 0.322607i −0.000459118 + 0.0131924i
\(599\) −2.52422 −0.103137 −0.0515684 0.998669i \(-0.516422\pi\)
−0.0515684 + 0.998669i \(0.516422\pi\)
\(600\) −2.92009 1.87663i −0.119212 0.0766131i
\(601\) 2.68152 + 18.6504i 0.109381 + 0.760765i 0.968505 + 0.248996i \(0.0801006\pi\)
−0.859123 + 0.511769i \(0.828990\pi\)
\(602\) −4.04121 8.84901i −0.164707 0.360659i
\(603\) −11.9026 3.49492i −0.484712 0.142324i
\(604\) 6.38229 13.9753i 0.259692 0.568646i
\(605\) −8.27023 + 9.54435i −0.336233 + 0.388033i
\(606\) −0.852056 + 5.92618i −0.0346124 + 0.240735i
\(607\) −3.12161 + 0.916586i −0.126702 + 0.0372031i −0.344469 0.938798i \(-0.611941\pi\)
0.217767 + 0.976001i \(0.430123\pi\)
\(608\) 3.05662 + 3.52753i 0.123962 + 0.143060i
\(609\) 9.55257 6.13906i 0.387090 0.248767i
\(610\) 4.78504 3.07516i 0.193740 0.124509i
\(611\) −0.366407 0.422856i −0.0148232 0.0171069i
\(612\) 4.11792 1.20913i 0.166457 0.0488763i
\(613\) −2.29523 + 15.9637i −0.0927036 + 0.644767i 0.889498 + 0.456939i \(0.151054\pi\)
−0.982202 + 0.187829i \(0.939855\pi\)
\(614\) 2.67378 3.08570i 0.107905 0.124529i
\(615\) 0.0698220 0.152889i 0.00281549 0.00616507i
\(616\) −1.25829 0.369467i −0.0506979 0.0148862i
\(617\) 0.963458 + 2.10968i 0.0387874 + 0.0849325i 0.928034 0.372496i \(-0.121498\pi\)
−0.889247 + 0.457428i \(0.848771\pi\)
\(618\) 2.22602 + 15.4823i 0.0895436 + 0.622790i
\(619\) 27.7569 + 17.8383i 1.11565 + 0.716982i 0.962516 0.271224i \(-0.0874285\pi\)
0.153130 + 0.988206i \(0.451065\pi\)
\(620\) 1.96780 0.0790287
\(621\) −1.19028 4.64578i −0.0477642 0.186429i
\(622\) −12.7493 −0.511199
\(623\) −14.5854 9.37349i −0.584353 0.375541i
\(624\) −0.00957906 0.0666238i −0.000383469 0.00266709i
\(625\) 1.82960 + 4.00627i 0.0731841 + 0.160251i
\(626\) 7.46705 + 2.19252i 0.298443 + 0.0876308i
\(627\) 1.71940 3.76497i 0.0686663 0.150358i
\(628\) −8.19051 + 9.45235i −0.326837 + 0.377190i
\(629\) −3.19360 + 22.2120i −0.127337 + 0.885651i
\(630\) −1.75455 + 0.515181i −0.0699028 + 0.0205253i
\(631\) 19.9373 + 23.0089i 0.793693 + 0.915971i 0.998018 0.0629326i \(-0.0200453\pi\)
−0.204325 + 0.978903i \(0.565500\pi\)
\(632\) 6.64125 4.26807i 0.264175 0.169775i
\(633\) 16.3115 10.4828i 0.648324 0.416652i
\(634\) −12.9340 14.9266i −0.513674 0.592811i
\(635\) −17.0930 + 5.01896i −0.678316 + 0.199171i
\(636\) 0.426315 2.96509i 0.0169045 0.117573i
\(637\) 0.212142 0.244825i 0.00840537 0.00970031i
\(638\) 2.82840 6.19334i 0.111978 0.245197i
\(639\) 7.02177 + 2.06178i 0.277777 + 0.0815627i
\(640\) −0.513652 1.12474i −0.0203039 0.0444593i
\(641\) 6.36692 + 44.2829i 0.251478 + 1.74907i 0.589349 + 0.807878i \(0.299384\pi\)
−0.337871 + 0.941192i \(0.609707\pi\)
\(642\) −11.6249 7.47086i −0.458798 0.294851i
\(643\) 26.8514 1.05892 0.529459 0.848336i \(-0.322395\pi\)
0.529459 + 0.848336i \(0.322395\pi\)
\(644\) −6.34520 3.16894i −0.250036 0.124874i
\(645\) −8.13354 −0.320258
\(646\) 16.8522 + 10.8302i 0.663041 + 0.426110i
\(647\) 3.26100 + 22.6807i 0.128203 + 0.891672i 0.947831 + 0.318775i \(0.103271\pi\)
−0.819627 + 0.572897i \(0.805820\pi\)
\(648\) 0.415415 + 0.909632i 0.0163190 + 0.0357337i
\(649\) −5.81609 1.70776i −0.228301 0.0670353i
\(650\) −0.0970564 + 0.212524i −0.00380687 + 0.00833588i
\(651\) −1.54127 + 1.77872i −0.0604072 + 0.0697136i
\(652\) 1.48435 10.3239i 0.0581316 0.404314i
\(653\) 44.1721 12.9701i 1.72859 0.507559i 0.741946 0.670460i \(-0.233903\pi\)
0.986643 + 0.162900i \(0.0520849\pi\)
\(654\) −7.06367 8.15191i −0.276212 0.318765i
\(655\) 4.76406 3.06167i 0.186147 0.119629i
\(656\) −0.114354 + 0.0734907i −0.00446476 + 0.00286933i
\(657\) −8.64272 9.97423i −0.337185 0.389132i
\(658\) 11.7956 3.46350i 0.459841 0.135021i
\(659\) 3.93338 27.3572i 0.153223 1.06569i −0.757550 0.652777i \(-0.773604\pi\)
0.910772 0.412909i \(-0.135487\pi\)
\(660\) −0.718022 + 0.828642i −0.0279490 + 0.0322548i
\(661\) 2.19760 4.81208i 0.0854769 0.187168i −0.862067 0.506795i \(-0.830830\pi\)
0.947544 + 0.319627i \(0.103557\pi\)
\(662\) 4.11794 + 1.20914i 0.160048 + 0.0469944i
\(663\) −0.120003 0.262769i −0.00466052 0.0102051i
\(664\) 1.19667 + 8.32299i 0.0464396 + 0.322995i
\(665\) −7.18031 4.61450i −0.278440 0.178943i
\(666\) −5.22871 −0.202608
\(667\) 20.9735 30.2664i 0.812096 1.17192i
\(668\) −25.3684 −0.981532
\(669\) 17.3075 + 11.1229i 0.669148 + 0.430035i
\(670\) 2.18292 + 15.1825i 0.0843335 + 0.586552i
\(671\) 1.69456 + 3.71056i 0.0654176 + 0.143245i
\(672\) 1.41899 + 0.416652i 0.0547386 + 0.0160727i
\(673\) −16.8850 + 36.9729i −0.650867 + 1.42520i 0.239925 + 0.970791i \(0.422877\pi\)
−0.890793 + 0.454410i \(0.849850\pi\)
\(674\) −18.9638 + 21.8854i −0.730458 + 0.842993i
\(675\) 0.493992 3.43579i 0.0190138 0.132244i
\(676\) 12.4691 3.66125i 0.479579 0.140817i
\(677\) 10.1058 + 11.6627i 0.388398 + 0.448235i 0.915953 0.401286i \(-0.131437\pi\)
−0.527555 + 0.849521i \(0.676891\pi\)
\(678\) −3.84480 + 2.47090i −0.147659 + 0.0948944i
\(679\) 21.3572 13.7255i 0.819615 0.526734i
\(680\) −3.47514 4.01052i −0.133266 0.153797i
\(681\) 22.0906 6.48640i 0.846515 0.248559i
\(682\) −0.200838 + 1.39686i −0.00769050 + 0.0534886i
\(683\) −0.212035 + 0.244701i −0.00811329 + 0.00936324i −0.759792 0.650167i \(-0.774699\pi\)
0.751678 + 0.659530i \(0.229245\pi\)
\(684\) −1.93899 + 4.24579i −0.0741391 + 0.162342i
\(685\) −10.9479 3.21459i −0.418298 0.122823i
\(686\) 7.25729 + 15.8912i 0.277084 + 0.606730i
\(687\) −1.06788 7.42730i −0.0407423 0.283369i
\(688\) 5.53375 + 3.55633i 0.210972 + 0.135584i
\(689\) −0.201629 −0.00768145
\(690\) −4.61391 + 3.72507i −0.175648 + 0.141811i
\(691\) −11.8762 −0.451791 −0.225896 0.974152i \(-0.572531\pi\)
−0.225896 + 0.974152i \(0.572531\pi\)
\(692\) 14.4651 + 9.29615i 0.549880 + 0.353387i
\(693\) −0.186633 1.29806i −0.00708961 0.0493093i
\(694\) −7.80537 17.0914i −0.296288 0.648780i
\(695\) 9.27928 + 2.72464i 0.351983 + 0.103352i
\(696\) −3.18962 + 6.98430i −0.120902 + 0.264739i
\(697\) −0.382040 + 0.440898i −0.0144708 + 0.0167002i
\(698\) 2.21759 15.4237i 0.0839371 0.583796i
\(699\) −23.3811 + 6.86532i −0.884356 + 0.259670i
\(700\) −3.36167 3.87957i −0.127059 0.146634i
\(701\) 24.5131 15.7536i 0.925847 0.595006i 0.0114986 0.999934i \(-0.496340\pi\)
0.914349 + 0.404928i \(0.132703\pi\)
\(702\) 0.0566239 0.0363899i 0.00213713 0.00137345i
\(703\) −15.9822 18.4444i −0.602780 0.695645i
\(704\) 0.850833 0.249827i 0.0320670 0.00941571i
\(705\) 1.46278 10.1739i 0.0550915 0.383170i
\(706\) 15.2195 17.5642i 0.572793 0.661039i
\(707\) −3.67821 + 8.05415i −0.138333 + 0.302908i
\(708\) 6.55886 + 1.92586i 0.246497 + 0.0723781i
\(709\) −5.53351 12.1167i −0.207815 0.455052i 0.776809 0.629736i \(-0.216837\pi\)
−0.984625 + 0.174684i \(0.944110\pi\)
\(710\) −1.28778 8.95671i −0.0483295 0.336139i
\(711\) 6.64125 + 4.26807i 0.249066 + 0.160065i
\(712\) 11.7235 0.439355
\(713\) −2.40368 + 7.24396i −0.0900187 + 0.271289i
\(714\) 6.34706 0.237533
\(715\) 0.0620853 + 0.0398998i 0.00232186 + 0.00149217i
\(716\) 0.869259 + 6.04583i 0.0324857 + 0.225943i
\(717\) 3.61264 + 7.91057i 0.134916 + 0.295426i
\(718\) −13.8642 4.07088i −0.517406 0.151924i
\(719\) 16.9387 37.0905i 0.631705 1.38324i −0.274987 0.961448i \(-0.588673\pi\)
0.906692 0.421793i \(-0.138599\pi\)
\(720\) 0.809721 0.934468i 0.0301765 0.0348256i
\(721\) −3.29204 + 22.8966i −0.122602 + 0.852716i
\(722\) −2.67356 + 0.785028i −0.0994996 + 0.0292157i
\(723\) 3.71774 + 4.29050i 0.138264 + 0.159565i
\(724\) 18.0786 11.6184i 0.671886 0.431795i
\(725\) 22.4209 14.4091i 0.832692 0.535139i
\(726\) 6.68853 + 7.71898i 0.248235 + 0.286478i
\(727\) 31.5364 9.25993i 1.16962 0.343432i 0.361457 0.932389i \(-0.382279\pi\)
0.808164 + 0.588957i \(0.200461\pi\)
\(728\) 0.0141664 0.0985294i 0.000525041 0.00365174i
\(729\) −0.654861 + 0.755750i −0.0242541 + 0.0279907i
\(730\) −6.77908 + 14.8441i −0.250905 + 0.549405i
\(731\) 27.0876 + 7.95365i 1.00187 + 0.294176i
\(732\) −1.91097 4.18444i −0.0706315 0.154661i
\(733\) −6.98884 48.6085i −0.258139 1.79539i −0.546066 0.837742i \(-0.683875\pi\)
0.287927 0.957652i \(-0.407034\pi\)
\(734\) 22.3820 + 14.3841i 0.826136 + 0.530925i
\(735\) 5.95102 0.219507
\(736\) 4.76788 0.517000i 0.175747 0.0190569i
\(737\) −11.0003 −0.405200
\(738\) −0.114354 0.0734907i −0.00420942 0.00270523i
\(739\) 6.02772 + 41.9237i 0.221733 + 1.54219i 0.731480 + 0.681863i \(0.238830\pi\)
−0.509746 + 0.860325i \(0.670261\pi\)
\(740\) 2.68574 + 5.88094i 0.0987296 + 0.216188i
\(741\) 0.301445 + 0.0885121i 0.0110738 + 0.00325157i
\(742\) 1.84034 4.02979i 0.0675611 0.147938i
\(743\) 1.74263 2.01110i 0.0639308 0.0737800i −0.722883 0.690970i \(-0.757184\pi\)
0.786814 + 0.617190i \(0.211729\pi\)
\(744\) 0.226488 1.57526i 0.00830344 0.0577517i
\(745\) −5.87551 + 1.72521i −0.215262 + 0.0632067i
\(746\) 3.19608 + 3.68847i 0.117017 + 0.135044i
\(747\) −7.07375 + 4.54602i −0.258815 + 0.166330i
\(748\) 3.20159 2.05754i 0.117062 0.0752310i
\(749\) −13.3828 15.4446i −0.488997 0.564333i
\(750\) −10.0501 + 2.95097i −0.366977 + 0.107754i
\(751\) −5.28345 + 36.7472i −0.192796 + 1.34093i 0.631768 + 0.775157i \(0.282329\pi\)
−0.824564 + 0.565768i \(0.808580\pi\)
\(752\) −5.44367 + 6.28232i −0.198510 + 0.229093i
\(753\) 2.48589 5.44334i 0.0905909 0.198366i
\(754\) 0.495874 + 0.145602i 0.0180587 + 0.00530250i
\(755\) −7.89157 17.2801i −0.287204 0.628888i
\(756\) 0.210468 + 1.46384i 0.00765465 + 0.0532393i
\(757\) −19.5572 12.5686i −0.710817 0.456814i 0.134615 0.990898i \(-0.457020\pi\)
−0.845432 + 0.534084i \(0.820657\pi\)
\(758\) 3.41084 0.123887
\(759\) −2.17337 3.65541i −0.0788883 0.132683i
\(760\) 5.77138 0.209350
\(761\) 14.8440 + 9.53963i 0.538093 + 0.345811i 0.781293 0.624165i \(-0.214561\pi\)
−0.243200 + 0.969976i \(0.578197\pi\)
\(762\) 2.05041 + 14.2609i 0.0742785 + 0.516618i
\(763\) −6.62674 14.5105i −0.239904 0.525317i
\(764\) 2.71990 + 0.798636i 0.0984027 + 0.0288936i
\(765\) 2.20448 4.82713i 0.0797030 0.174525i
\(766\) 18.5800 21.4425i 0.671324 0.774749i
\(767\) 0.0654801 0.455424i 0.00236435 0.0164444i
\(768\) −0.959493 + 0.281733i −0.0346227 + 0.0101661i
\(769\) −23.9460 27.6351i −0.863513 0.996548i −0.999983 0.00590334i \(-0.998121\pi\)
0.136469 0.990644i \(-0.456425\pi\)