Properties

Label 400.2.bm.a.203.15
Level $400$
Weight $2$
Character 400.203
Analytic conductor $3.194$
Analytic rank $0$
Dimension $464$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 400 = 2^{4} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 400.bm (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.19401608085\)
Analytic rank: \(0\)
Dimension: \(464\)
Relative dimension: \(58\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 203.15
Character \(\chi\) \(=\) 400.203
Dual form 400.2.bm.a.67.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.977689 + 1.02182i) q^{2} +(1.05492 - 1.45197i) q^{3} +(-0.0882476 - 1.99805i) q^{4} +(1.30519 + 1.81562i) q^{5} +(0.452275 + 2.49751i) q^{6} +(0.298708 - 0.298708i) q^{7} +(2.12794 + 1.86330i) q^{8} +(-0.0683109 - 0.210239i) q^{9} +O(q^{10})\) \(q+(-0.977689 + 1.02182i) q^{2} +(1.05492 - 1.45197i) q^{3} +(-0.0882476 - 1.99805i) q^{4} +(1.30519 + 1.81562i) q^{5} +(0.452275 + 2.49751i) q^{6} +(0.298708 - 0.298708i) q^{7} +(2.12794 + 1.86330i) q^{8} +(-0.0683109 - 0.210239i) q^{9} +(-3.13131 - 0.441441i) q^{10} +(1.69140 + 3.31956i) q^{11} +(-2.99420 - 1.97965i) q^{12} +(-0.516740 - 1.59036i) q^{13} +(0.0131833 + 0.597271i) q^{14} +(4.01309 + 0.0202365i) q^{15} +(-3.98442 + 0.352646i) q^{16} +(-0.281871 + 1.77966i) q^{17} +(0.281614 + 0.135747i) q^{18} +(0.465649 - 2.93999i) q^{19} +(3.51253 - 2.76806i) q^{20} +(-0.118603 - 0.748827i) q^{21} +(-5.04568 - 1.51719i) q^{22} +(5.68038 - 2.89430i) q^{23} +(4.95025 - 1.12407i) q^{24} +(-1.59296 + 4.73946i) q^{25} +(2.13028 + 1.02686i) q^{26} +(4.74335 + 1.54121i) q^{27} +(-0.623195 - 0.570474i) q^{28} +(-0.231330 - 1.46056i) q^{29} +(-3.94423 + 4.08088i) q^{30} +(1.00053 + 1.37711i) q^{31} +(3.53519 - 4.41616i) q^{32} +(6.60419 + 1.04600i) q^{33} +(-1.54292 - 2.02798i) q^{34} +(0.932212 + 0.152470i) q^{35} +(-0.414041 + 0.155042i) q^{36} +(-1.51796 - 4.67180i) q^{37} +(2.54890 + 3.35021i) q^{38} +(-2.85427 - 0.927408i) q^{39} +(-0.605690 + 6.29549i) q^{40} +(-3.76182 + 1.22229i) q^{41} +(0.881126 + 0.610929i) q^{42} +6.34865 q^{43} +(6.48340 - 3.67245i) q^{44} +(0.292556 - 0.398429i) q^{45} +(-2.59618 + 8.63406i) q^{46} +(-1.88925 - 11.9283i) q^{47} +(-3.69120 + 6.15727i) q^{48} +6.82155i q^{49} +(-3.28547 - 6.26145i) q^{50} +(2.28666 + 2.28666i) q^{51} +(-3.13202 + 1.17282i) q^{52} +(-2.85586 + 3.93075i) q^{53} +(-6.21236 + 3.34004i) q^{54} +(-3.81947 + 7.40361i) q^{55} +(1.19222 - 0.0790487i) q^{56} +(-3.77756 - 3.77756i) q^{57} +(1.71860 + 1.19159i) q^{58} +(-6.20329 + 12.1746i) q^{59} +(-0.313712 - 8.02015i) q^{60} +(-1.11569 - 2.18967i) q^{61} +(-2.38537 - 0.324021i) q^{62} +(-0.0832053 - 0.0423952i) q^{63} +(1.05622 + 7.92997i) q^{64} +(2.21305 - 3.01392i) q^{65} +(-7.52567 + 5.72565i) q^{66} +(-4.23766 + 3.07884i) q^{67} +(3.58073 + 0.406141i) q^{68} +(1.78990 - 11.3010i) q^{69} +(-1.06721 + 0.803488i) q^{70} +(0.816291 + 0.593070i) q^{71} +(0.246378 - 0.574659i) q^{72} +(-6.75962 - 13.2665i) q^{73} +(6.25785 + 3.01648i) q^{74} +(5.20110 + 7.31266i) q^{75} +(-5.91535 - 0.670944i) q^{76} +(1.49682 + 0.486345i) q^{77} +(3.73824 - 2.00984i) q^{78} +(-3.62337 - 2.63253i) q^{79} +(-5.84070 - 6.77394i) q^{80} +(7.77814 - 5.65115i) q^{81} +(2.42893 - 5.03894i) q^{82} +(1.12267 + 1.54522i) q^{83} +(-1.48573 + 0.303056i) q^{84} +(-3.59908 + 1.81102i) q^{85} +(-6.20701 + 6.48721i) q^{86} +(-2.36472 - 1.20488i) q^{87} +(-2.58615 + 10.2154i) q^{88} +(1.28360 - 3.95053i) q^{89} +(0.121095 + 0.688481i) q^{90} +(-0.629408 - 0.320700i) q^{91} +(-6.28423 - 11.0943i) q^{92} +3.05499 q^{93} +(14.0357 + 9.73166i) q^{94} +(5.94568 - 2.99181i) q^{95} +(-2.68279 - 9.79165i) q^{96} +(-9.34524 + 1.48014i) q^{97} +(-6.97042 - 6.66935i) q^{98} +(0.582362 - 0.582362i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 464q - 8q^{2} - 10q^{3} - 10q^{4} - 8q^{5} - 6q^{6} - 16q^{7} - 2q^{8} + 108q^{9} + O(q^{10}) \) \( 464q - 8q^{2} - 10q^{3} - 10q^{4} - 8q^{5} - 6q^{6} - 16q^{7} - 2q^{8} + 108q^{9} - 4q^{10} - 6q^{11} - 22q^{12} - 6q^{13} - 10q^{14} - 12q^{15} + 34q^{16} - 16q^{17} - 24q^{18} - 10q^{19} - 14q^{20} - 36q^{21} - 60q^{22} - 16q^{23} - 12q^{24} - 16q^{26} - 10q^{27} + 6q^{28} - 10q^{29} - 106q^{30} + 2q^{32} - 16q^{33} - 10q^{34} - 60q^{35} + 10q^{36} - 6q^{37} - 38q^{38} - 20q^{39} + 16q^{40} - 38q^{42} + 16q^{43} - 80q^{44} - 4q^{45} - 6q^{46} + 24q^{47} + 60q^{48} + 38q^{50} - 16q^{51} - 160q^{52} - 10q^{53} - 16q^{55} - 6q^{56} - 12q^{57} - 110q^{58} - 10q^{59} - 50q^{60} - 6q^{61} - 14q^{62} - 12q^{63} + 20q^{64} - 16q^{65} - 6q^{66} + 30q^{67} - 50q^{68} - 22q^{69} + 38q^{70} - 12q^{71} + 172q^{72} - 8q^{73} + 8q^{74} - 58q^{75} - 16q^{76} + 60q^{77} - 48q^{78} + 208q^{80} - 96q^{81} - 14q^{82} - 10q^{83} - 22q^{84} + 2q^{85} - 126q^{86} - 72q^{87} + 86q^{88} + 110q^{90} + 64q^{91} - 66q^{92} - 28q^{93} - 10q^{94} - 160q^{95} - 36q^{96} - 16q^{97} - 44q^{98} - 12q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(177\) \(351\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{7}{20}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.977689 + 1.02182i −0.691331 + 0.722539i
\(3\) 1.05492 1.45197i 0.609056 0.838294i −0.387443 0.921894i \(-0.626642\pi\)
0.996499 + 0.0835996i \(0.0266417\pi\)
\(4\) −0.0882476 1.99805i −0.0441238 0.999026i
\(5\) 1.30519 + 1.81562i 0.583698 + 0.811971i
\(6\) 0.452275 + 2.49751i 0.184640 + 1.01960i
\(7\) 0.298708 0.298708i 0.112901 0.112901i −0.648399 0.761300i \(-0.724561\pi\)
0.761300 + 0.648399i \(0.224561\pi\)
\(8\) 2.12794 + 1.86330i 0.752339 + 0.658776i
\(9\) −0.0683109 0.210239i −0.0227703 0.0700798i
\(10\) −3.13131 0.441441i −0.990209 0.139596i
\(11\) 1.69140 + 3.31956i 0.509977 + 1.00089i 0.992179 + 0.124826i \(0.0398373\pi\)
−0.482202 + 0.876060i \(0.660163\pi\)
\(12\) −2.99420 1.97965i −0.864351 0.571474i
\(13\) −0.516740 1.59036i −0.143318 0.441087i 0.853473 0.521137i \(-0.174492\pi\)
−0.996791 + 0.0800502i \(0.974492\pi\)
\(14\) 0.0131833 + 0.597271i 0.00352340 + 0.159627i
\(15\) 4.01309 + 0.0202365i 1.03618 + 0.00522503i
\(16\) −3.98442 + 0.352646i −0.996106 + 0.0881616i
\(17\) −0.281871 + 1.77966i −0.0683636 + 0.431631i 0.929640 + 0.368470i \(0.120118\pi\)
−0.998003 + 0.0631612i \(0.979882\pi\)
\(18\) 0.281614 + 0.135747i 0.0663771 + 0.0319959i
\(19\) 0.465649 2.93999i 0.106827 0.674481i −0.874917 0.484274i \(-0.839084\pi\)
0.981744 0.190207i \(-0.0609161\pi\)
\(20\) 3.51253 2.76806i 0.785425 0.618957i
\(21\) −0.118603 0.748827i −0.0258812 0.163407i
\(22\) −5.04568 1.51719i −1.07574 0.323465i
\(23\) 5.68038 2.89430i 1.18444 0.603502i 0.253025 0.967460i \(-0.418575\pi\)
0.931416 + 0.363957i \(0.118575\pi\)
\(24\) 4.95025 1.12407i 1.01046 0.229449i
\(25\) −1.59296 + 4.73946i −0.318593 + 0.947892i
\(26\) 2.13028 + 1.02686i 0.417782 + 0.201384i
\(27\) 4.74335 + 1.54121i 0.912858 + 0.296605i
\(28\) −0.623195 0.570474i −0.117773 0.107810i
\(29\) −0.231330 1.46056i −0.0429568 0.271219i 0.956856 0.290562i \(-0.0938424\pi\)
−0.999813 + 0.0193436i \(0.993842\pi\)
\(30\) −3.94423 + 4.08088i −0.720115 + 0.745064i
\(31\) 1.00053 + 1.37711i 0.179700 + 0.247336i 0.889359 0.457209i \(-0.151151\pi\)
−0.709659 + 0.704545i \(0.751151\pi\)
\(32\) 3.53519 4.41616i 0.624939 0.780674i
\(33\) 6.60419 + 1.04600i 1.14964 + 0.182085i
\(34\) −1.54292 2.02798i −0.264608 0.347795i
\(35\) 0.932212 + 0.152470i 0.157573 + 0.0257722i
\(36\) −0.414041 + 0.155042i −0.0690068 + 0.0258403i
\(37\) −1.51796 4.67180i −0.249551 0.768040i −0.994854 0.101314i \(-0.967695\pi\)
0.745303 0.666726i \(-0.232305\pi\)
\(38\) 2.54890 + 3.35021i 0.413486 + 0.543476i
\(39\) −2.85427 0.927408i −0.457049 0.148504i
\(40\) −0.605690 + 6.29549i −0.0957680 + 0.995404i
\(41\) −3.76182 + 1.22229i −0.587498 + 0.190890i −0.587657 0.809110i \(-0.699949\pi\)
0.000158983 1.00000i \(0.499949\pi\)
\(42\) 0.881126 + 0.610929i 0.135961 + 0.0942684i
\(43\) 6.34865 0.968161 0.484080 0.875024i \(-0.339154\pi\)
0.484080 + 0.875024i \(0.339154\pi\)
\(44\) 6.48340 3.67245i 0.977409 0.553643i
\(45\) 0.292556 0.398429i 0.0436117 0.0593943i
\(46\) −2.59618 + 8.63406i −0.382786 + 1.27302i
\(47\) −1.88925 11.9283i −0.275576 1.73992i −0.605442 0.795890i \(-0.707003\pi\)
0.329866 0.944028i \(-0.392997\pi\)
\(48\) −3.69120 + 6.15727i −0.532779 + 0.888725i
\(49\) 6.82155i 0.974507i
\(50\) −3.28547 6.26145i −0.464635 0.885502i
\(51\) 2.28666 + 2.28666i 0.320196 + 0.320196i
\(52\) −3.13202 + 1.17282i −0.434333 + 0.162641i
\(53\) −2.85586 + 3.93075i −0.392282 + 0.539930i −0.958786 0.284129i \(-0.908296\pi\)
0.566504 + 0.824059i \(0.308296\pi\)
\(54\) −6.21236 + 3.34004i −0.845395 + 0.454522i
\(55\) −3.81947 + 7.40361i −0.515018 + 0.998302i
\(56\) 1.19222 0.0790487i 0.159316 0.0105633i
\(57\) −3.77756 3.77756i −0.500350 0.500350i
\(58\) 1.71860 + 1.19159i 0.225663 + 0.156464i
\(59\) −6.20329 + 12.1746i −0.807600 + 1.58500i 0.00342669 + 0.999994i \(0.498909\pi\)
−0.811026 + 0.585010i \(0.801091\pi\)
\(60\) −0.313712 8.02015i −0.0405000 1.03540i
\(61\) −1.11569 2.18967i −0.142850 0.280358i 0.808486 0.588516i \(-0.200288\pi\)
−0.951335 + 0.308158i \(0.900288\pi\)
\(62\) −2.38537 0.324021i −0.302942 0.0411507i
\(63\) −0.0832053 0.0423952i −0.0104829 0.00534129i
\(64\) 1.05622 + 7.92997i 0.132028 + 0.991246i
\(65\) 2.21305 3.01392i 0.274495 0.373831i
\(66\) −7.52567 + 5.72565i −0.926346 + 0.704779i
\(67\) −4.23766 + 3.07884i −0.517713 + 0.376140i −0.815742 0.578416i \(-0.803671\pi\)
0.298029 + 0.954557i \(0.403671\pi\)
\(68\) 3.58073 + 0.406141i 0.434227 + 0.0492519i
\(69\) 1.78990 11.3010i 0.215478 1.36048i
\(70\) −1.06721 + 0.803488i −0.127556 + 0.0960351i
\(71\) 0.816291 + 0.593070i 0.0968759 + 0.0703845i 0.635169 0.772373i \(-0.280931\pi\)
−0.538293 + 0.842758i \(0.680931\pi\)
\(72\) 0.246378 0.574659i 0.0290359 0.0677243i
\(73\) −6.75962 13.2665i −0.791153 1.55273i −0.832788 0.553593i \(-0.813257\pi\)
0.0416345 0.999133i \(-0.486743\pi\)
\(74\) 6.25785 + 3.01648i 0.727461 + 0.350659i
\(75\) 5.20110 + 7.31266i 0.600571 + 0.844394i
\(76\) −5.91535 0.670944i −0.678538 0.0769626i
\(77\) 1.49682 + 0.486345i 0.170578 + 0.0554242i
\(78\) 3.73824 2.00984i 0.423272 0.227570i
\(79\) −3.62337 2.63253i −0.407661 0.296183i 0.364993 0.931010i \(-0.381071\pi\)
−0.772654 + 0.634827i \(0.781071\pi\)
\(80\) −5.84070 6.77394i −0.653010 0.757349i
\(81\) 7.77814 5.65115i 0.864238 0.627905i
\(82\) 2.42893 5.03894i 0.268230 0.556457i
\(83\) 1.12267 + 1.54522i 0.123229 + 0.169610i 0.866174 0.499742i \(-0.166572\pi\)
−0.742945 + 0.669352i \(0.766572\pi\)
\(84\) −1.48573 + 0.303056i −0.162106 + 0.0330661i
\(85\) −3.59908 + 1.81102i −0.390375 + 0.196433i
\(86\) −6.20701 + 6.48721i −0.669319 + 0.699533i
\(87\) −2.36472 1.20488i −0.253524 0.129177i
\(88\) −2.58615 + 10.2154i −0.275685 + 1.08897i
\(89\) 1.28360 3.95053i 0.136062 0.418755i −0.859692 0.510813i \(-0.829345\pi\)
0.995754 + 0.0920580i \(0.0293445\pi\)
\(90\) 0.121095 + 0.688481i 0.0127645 + 0.0725722i
\(91\) −0.629408 0.320700i −0.0659799 0.0336184i
\(92\) −6.28423 11.0943i −0.655177 1.15666i
\(93\) 3.05499 0.316788
\(94\) 14.0357 + 9.73166i 1.44767 + 1.00374i
\(95\) 5.94568 2.99181i 0.610014 0.306953i
\(96\) −2.68279 9.79165i −0.273811 0.999357i
\(97\) −9.34524 + 1.48014i −0.948865 + 0.150285i −0.611638 0.791138i \(-0.709489\pi\)
−0.337227 + 0.941423i \(0.609489\pi\)
\(98\) −6.97042 6.66935i −0.704119 0.673706i
\(99\) 0.582362 0.582362i 0.0585296 0.0585296i
\(100\) 9.61026 + 2.76458i 0.961026 + 0.276458i
\(101\) −11.0107 11.0107i −1.09561 1.09561i −0.994918 0.100687i \(-0.967896\pi\)
−0.100687 0.994918i \(-0.532104\pi\)
\(102\) −4.57221 + 0.100921i −0.452716 + 0.00999263i
\(103\) −1.64170 10.3653i −0.161762 1.02132i −0.926311 0.376759i \(-0.877039\pi\)
0.764550 0.644565i \(-0.222961\pi\)
\(104\) 1.86373 4.34703i 0.182754 0.426261i
\(105\) 1.20479 1.19270i 0.117575 0.116395i
\(106\) −1.22439 6.76123i −0.118923 0.656709i
\(107\) 11.4446i 1.10640i −0.833050 0.553198i \(-0.813407\pi\)
0.833050 0.553198i \(-0.186593\pi\)
\(108\) 2.66082 9.61347i 0.256038 0.925056i
\(109\) −5.11888 + 10.0464i −0.490300 + 0.962268i 0.504785 + 0.863245i \(0.331572\pi\)
−0.995085 + 0.0990229i \(0.968428\pi\)
\(110\) −3.83092 11.1413i −0.365264 1.06228i
\(111\) −8.38463 2.72433i −0.795834 0.258582i
\(112\) −1.08484 + 1.29552i −0.102508 + 0.122415i
\(113\) 6.16917 12.1077i 0.580346 1.13899i −0.395075 0.918649i \(-0.629282\pi\)
0.975422 0.220345i \(-0.0707185\pi\)
\(114\) 7.55327 0.166721i 0.707429 0.0156148i
\(115\) 12.6689 + 6.53581i 1.18138 + 0.609467i
\(116\) −2.89786 + 0.591099i −0.269059 + 0.0548822i
\(117\) −0.299057 + 0.217278i −0.0276479 + 0.0200874i
\(118\) −6.37545 18.2417i −0.586908 1.67928i
\(119\) 0.447402 + 0.615796i 0.0410133 + 0.0564500i
\(120\) 8.50189 + 7.52065i 0.776113 + 0.686539i
\(121\) −1.69303 + 2.33025i −0.153912 + 0.211841i
\(122\) 3.32825 + 1.00077i 0.301326 + 0.0906059i
\(123\) −2.19368 + 6.75145i −0.197798 + 0.608758i
\(124\) 2.66324 2.12063i 0.239166 0.190439i
\(125\) −10.6842 + 3.29367i −0.955622 + 0.294595i
\(126\) 0.124669 0.0435718i 0.0111064 0.00388168i
\(127\) −0.386501 + 0.196932i −0.0342964 + 0.0174749i −0.471055 0.882104i \(-0.656127\pi\)
0.436758 + 0.899579i \(0.356127\pi\)
\(128\) −9.13569 6.67377i −0.807488 0.589884i
\(129\) 6.69730 9.21804i 0.589664 0.811603i
\(130\) 0.916024 + 5.20803i 0.0803406 + 0.456774i
\(131\) 16.9749 + 2.68856i 1.48310 + 0.234900i 0.844881 0.534954i \(-0.179671\pi\)
0.638220 + 0.769854i \(0.279671\pi\)
\(132\) 1.50716 13.2878i 0.131181 1.15656i
\(133\) −0.739107 1.01729i −0.0640887 0.0882106i
\(134\) 0.997083 7.34029i 0.0861349 0.634105i
\(135\) 3.39272 + 10.6237i 0.291999 + 0.914342i
\(136\) −3.91584 + 3.26179i −0.335781 + 0.279697i
\(137\) −7.19654 + 14.1240i −0.614842 + 1.20670i 0.348219 + 0.937413i \(0.386787\pi\)
−0.963061 + 0.269283i \(0.913213\pi\)
\(138\) 9.79763 + 12.8778i 0.834030 + 1.09623i
\(139\) −17.4894 + 8.91129i −1.48343 + 0.755846i −0.993274 0.115788i \(-0.963061\pi\)
−0.490158 + 0.871634i \(0.663061\pi\)
\(140\) 0.222378 1.87606i 0.0187944 0.158556i
\(141\) −19.3125 9.84020i −1.62640 0.828694i
\(142\) −1.40409 + 0.254267i −0.117829 + 0.0213376i
\(143\) 4.40529 4.40529i 0.368389 0.368389i
\(144\) 0.346320 + 0.813593i 0.0288600 + 0.0677994i
\(145\) 2.34989 2.32631i 0.195148 0.193190i
\(146\) 20.1648 + 6.06337i 1.66885 + 0.501808i
\(147\) 9.90467 + 7.19616i 0.816923 + 0.593529i
\(148\) −9.20055 + 3.44524i −0.756281 + 0.283197i
\(149\) −9.54633 + 9.54633i −0.782066 + 0.782066i −0.980179 0.198113i \(-0.936519\pi\)
0.198113 + 0.980179i \(0.436519\pi\)
\(150\) −12.5573 1.83491i −1.02530 0.149820i
\(151\) −8.73253 −0.710643 −0.355322 0.934744i \(-0.615629\pi\)
−0.355322 + 0.934744i \(0.615629\pi\)
\(152\) 6.46897 5.38848i 0.524702 0.437063i
\(153\) 0.393409 0.0623099i 0.0318053 0.00503746i
\(154\) −1.96038 + 1.05399i −0.157972 + 0.0849328i
\(155\) −1.19443 + 3.61397i −0.0959389 + 0.290281i
\(156\) −1.60113 + 5.78482i −0.128193 + 0.463156i
\(157\) 23.3326i 1.86214i 0.364839 + 0.931071i \(0.381124\pi\)
−0.364839 + 0.931071i \(0.618876\pi\)
\(158\) 6.23251 1.12865i 0.495832 0.0897903i
\(159\) 2.69463 + 8.29322i 0.213698 + 0.657695i
\(160\) 12.6322 + 0.654640i 0.998660 + 0.0517538i
\(161\) 0.832225 2.56133i 0.0655885 0.201861i
\(162\) −1.83012 + 13.4730i −0.143788 + 1.05854i
\(163\) 0.864569 0.280916i 0.0677183 0.0220030i −0.274962 0.961455i \(-0.588665\pi\)
0.342680 + 0.939452i \(0.388665\pi\)
\(164\) 2.77417 + 7.40845i 0.216626 + 0.578503i
\(165\) 6.72057 + 13.3559i 0.523196 + 1.03976i
\(166\) −2.67657 0.363577i −0.207742 0.0282190i
\(167\) 0.140398 0.886440i 0.0108643 0.0685948i −0.981660 0.190638i \(-0.938944\pi\)
0.992525 + 0.122043i \(0.0389445\pi\)
\(168\) 1.14291 1.81445i 0.0881775 0.139988i
\(169\) 8.25499 5.99760i 0.634999 0.461354i
\(170\) 1.66824 5.44825i 0.127948 0.417862i
\(171\) −0.649911 + 0.102936i −0.0497000 + 0.00787170i
\(172\) −0.560253 12.6849i −0.0427189 0.967218i
\(173\) −1.36616 + 4.20461i −0.103867 + 0.319670i −0.989463 0.144787i \(-0.953750\pi\)
0.885596 + 0.464457i \(0.153750\pi\)
\(174\) 3.54314 1.23832i 0.268604 0.0938769i
\(175\) 0.939884 + 1.89155i 0.0710486 + 0.142988i
\(176\) −7.90990 12.6301i −0.596231 0.952029i
\(177\) 11.1332 + 21.8502i 0.836825 + 1.64236i
\(178\) 2.78178 + 5.17400i 0.208503 + 0.387808i
\(179\) −0.697936 + 0.110542i −0.0521662 + 0.00826231i −0.182463 0.983213i \(-0.558407\pi\)
0.130297 + 0.991475i \(0.458407\pi\)
\(180\) −0.821899 0.549383i −0.0612607 0.0409486i
\(181\) −14.2168 2.25171i −1.05672 0.167369i −0.396193 0.918167i \(-0.629669\pi\)
−0.660531 + 0.750799i \(0.729669\pi\)
\(182\) 0.943064 0.329600i 0.0699046 0.0244316i
\(183\) −4.35629 0.689968i −0.322026 0.0510039i
\(184\) 17.4804 + 4.42537i 1.28867 + 0.326243i
\(185\) 6.50100 8.85363i 0.477963 0.650932i
\(186\) −2.98683 + 3.12166i −0.219005 + 0.228891i
\(187\) −6.38445 + 2.07443i −0.466877 + 0.151698i
\(188\) −23.6666 + 4.82747i −1.72606 + 0.352079i
\(189\) 1.87725 0.956506i 0.136550 0.0695756i
\(190\) −2.75593 + 9.00049i −0.199936 + 0.652964i
\(191\) −4.87111 + 1.58272i −0.352461 + 0.114522i −0.479896 0.877325i \(-0.659326\pi\)
0.127435 + 0.991847i \(0.459326\pi\)
\(192\) 12.6283 + 6.83185i 0.911368 + 0.493047i
\(193\) 1.54332 + 1.54332i 0.111090 + 0.111090i 0.760467 0.649377i \(-0.224970\pi\)
−0.649377 + 0.760467i \(0.724970\pi\)
\(194\) 7.62430 10.9963i 0.547393 0.789489i
\(195\) −2.04154 6.39272i −0.146198 0.457792i
\(196\) 13.6298 0.601985i 0.973558 0.0429989i
\(197\) 0.518640 + 0.376814i 0.0369516 + 0.0268469i 0.606108 0.795383i \(-0.292730\pi\)
−0.569156 + 0.822229i \(0.692730\pi\)
\(198\) 0.0257023 + 1.16444i 0.00182658 + 0.0827531i
\(199\) 9.15159i 0.648739i 0.945930 + 0.324369i \(0.105152\pi\)
−0.945930 + 0.324369i \(0.894848\pi\)
\(200\) −12.2208 + 7.11709i −0.864138 + 0.503255i
\(201\) 9.40087i 0.663086i
\(202\) 22.0160 0.485952i 1.54904 0.0341915i
\(203\) −0.505381 0.367181i −0.0354708 0.0257710i
\(204\) 4.36707 4.77066i 0.305756 0.334013i
\(205\) −7.12910 5.23472i −0.497918 0.365609i
\(206\) 12.1966 + 8.45651i 0.849776 + 0.589193i
\(207\) −0.996526 0.996526i −0.0692634 0.0692634i
\(208\) 2.61974 + 6.15445i 0.181647 + 0.426734i
\(209\) 10.5471 3.42696i 0.729558 0.237048i
\(210\) 0.0408193 + 2.39717i 0.00281680 + 0.165420i
\(211\) 4.51167 2.29881i 0.310596 0.158257i −0.291743 0.956497i \(-0.594235\pi\)
0.602340 + 0.798240i \(0.294235\pi\)
\(212\) 8.10586 + 5.35927i 0.556713 + 0.368076i
\(213\) 1.72224 0.559589i 0.118006 0.0383424i
\(214\) 11.6944 + 11.1893i 0.799413 + 0.764885i
\(215\) 8.28619 + 11.5268i 0.565114 + 0.786118i
\(216\) 7.22181 + 12.1179i 0.491382 + 0.824517i
\(217\) 0.710220 + 0.112488i 0.0482129 + 0.00763617i
\(218\) −5.26095 15.0528i −0.356316 1.01951i
\(219\) −26.3933 4.18030i −1.78350 0.282478i
\(220\) 15.1298 + 6.97816i 1.02005 + 0.470467i
\(221\) 2.97596 0.471345i 0.200184 0.0317061i
\(222\) 10.9813 5.90406i 0.737020 0.396255i
\(223\) −6.22324 12.2138i −0.416739 0.817897i −0.999984 0.00560056i \(-0.998217\pi\)
0.583245 0.812296i \(-0.301783\pi\)
\(224\) −0.263154 2.37513i −0.0175827 0.158695i
\(225\) 1.10524 + 0.0111469i 0.0736825 + 0.000743124i
\(226\) 6.34038 + 18.1413i 0.421756 + 1.20674i
\(227\) −1.53369 + 4.72022i −0.101795 + 0.313292i −0.988965 0.148151i \(-0.952668\pi\)
0.887170 + 0.461443i \(0.152668\pi\)
\(228\) −7.21439 + 7.88111i −0.477785 + 0.521940i
\(229\) 17.4524 2.76419i 1.15329 0.182663i 0.449639 0.893210i \(-0.351553\pi\)
0.703649 + 0.710547i \(0.251553\pi\)
\(230\) −19.0647 + 6.55540i −1.25709 + 0.432250i
\(231\) 2.28517 1.66028i 0.150353 0.109238i
\(232\) 2.22920 3.53901i 0.146354 0.232347i
\(233\) 0.330715 2.08805i 0.0216659 0.136793i −0.974484 0.224455i \(-0.927940\pi\)
0.996150 + 0.0876625i \(0.0279397\pi\)
\(234\) 0.0703655 0.518014i 0.00459993 0.0338637i
\(235\) 19.1914 18.9988i 1.25191 1.23935i
\(236\) 24.8730 + 11.3201i 1.61909 + 0.736877i
\(237\) −7.64470 + 2.48391i −0.496577 + 0.161348i
\(238\) −1.06666 0.144891i −0.0691410 0.00939190i
\(239\) 5.11353 15.7378i 0.330767 1.01800i −0.638003 0.770034i \(-0.720239\pi\)
0.968770 0.247962i \(-0.0797608\pi\)
\(240\) −15.9970 + 1.33457i −1.03260 + 0.0861462i
\(241\) −9.40324 28.9402i −0.605716 1.86420i −0.491794 0.870712i \(-0.663659\pi\)
−0.113922 0.993490i \(-0.536341\pi\)
\(242\) −0.725852 4.00824i −0.0466595 0.257659i
\(243\) 2.29274i 0.147079i
\(244\) −4.27661 + 2.42244i −0.273782 + 0.155081i
\(245\) −12.3853 + 8.90341i −0.791271 + 0.568818i
\(246\) −4.75406 8.84238i −0.303108 0.563770i
\(247\) −4.91627 + 0.778661i −0.312815 + 0.0495450i
\(248\) −0.436908 + 4.79468i −0.0277437 + 0.304463i
\(249\) 3.42793 0.217237
\(250\) 7.08026 14.1375i 0.447795 0.894136i
\(251\) −8.66456 + 8.66456i −0.546902 + 0.546902i −0.925544 0.378641i \(-0.876391\pi\)
0.378641 + 0.925544i \(0.376391\pi\)
\(252\) −0.0773651 + 0.169990i −0.00487355 + 0.0107083i
\(253\) 19.2156 + 13.9610i 1.20807 + 0.877718i
\(254\) 0.176648 0.587474i 0.0110839 0.0368614i
\(255\) −1.16719 + 7.13623i −0.0730920 + 0.446888i
\(256\) 15.7513 2.81019i 0.984455 0.175637i
\(257\) −2.09323 + 2.09323i −0.130572 + 0.130572i −0.769373 0.638800i \(-0.779431\pi\)
0.638800 + 0.769373i \(0.279431\pi\)
\(258\) 2.87134 + 15.8558i 0.178762 + 0.987141i
\(259\) −1.84893 0.942079i −0.114887 0.0585379i
\(260\) −6.21728 4.15582i −0.385579 0.257733i
\(261\) −0.291264 + 0.148407i −0.0180288 + 0.00918614i
\(262\) −19.3434 + 14.7168i −1.19504 + 0.909204i
\(263\) 13.8160 27.1154i 0.851929 1.67201i 0.117756 0.993043i \(-0.462430\pi\)
0.734173 0.678962i \(-0.237570\pi\)
\(264\) 12.1043 + 14.5314i 0.744967 + 0.894346i
\(265\) −10.8642 0.0547839i −0.667381 0.00336535i
\(266\) 1.76211 + 0.239360i 0.108042 + 0.0146761i
\(267\) −4.38194 6.03122i −0.268170 0.369105i
\(268\) 6.52565 + 8.19537i 0.398618 + 0.500612i
\(269\) 1.73714 + 0.275136i 0.105915 + 0.0167753i 0.209167 0.977880i \(-0.432925\pi\)
−0.103252 + 0.994655i \(0.532925\pi\)
\(270\) −14.1726 6.91991i −0.862515 0.421132i
\(271\) 15.2865 21.0400i 0.928587 1.27809i −0.0318208 0.999494i \(-0.510131\pi\)
0.960408 0.278597i \(-0.0898694\pi\)
\(272\) 0.495501 7.19032i 0.0300442 0.435977i
\(273\) −1.12962 + 0.575569i −0.0683676 + 0.0348350i
\(274\) −7.39627 21.1625i −0.446825 1.27847i
\(275\) −18.4273 + 2.72839i −1.11121 + 0.164528i
\(276\) −22.7379 2.57902i −1.36866 0.155239i
\(277\) 5.66739 17.4424i 0.340521 1.04801i −0.623418 0.781889i \(-0.714256\pi\)
0.963938 0.266126i \(-0.0857436\pi\)
\(278\) 7.99343 26.5836i 0.479414 1.59438i
\(279\) 0.221175 0.304422i 0.0132414 0.0182253i
\(280\) 1.69959 + 2.06144i 0.101570 + 0.123195i
\(281\) 15.2443 + 20.9820i 0.909399 + 1.25168i 0.967371 + 0.253362i \(0.0815365\pi\)
−0.0579723 + 0.998318i \(0.518463\pi\)
\(282\) 28.9365 10.1133i 1.72315 0.602238i
\(283\) −5.01293 + 3.64211i −0.297988 + 0.216501i −0.726725 0.686928i \(-0.758959\pi\)
0.428737 + 0.903429i \(0.358959\pi\)
\(284\) 1.11295 1.68333i 0.0660414 0.0998872i
\(285\) 1.92819 11.7890i 0.114216 0.698322i
\(286\) 0.194425 + 8.80843i 0.0114966 + 0.520854i
\(287\) −0.758579 + 1.48879i −0.0447775 + 0.0878808i
\(288\) −1.16994 0.441563i −0.0689395 0.0260194i
\(289\) 13.0802 + 4.25002i 0.769425 + 0.250001i
\(290\) 0.0796164 + 4.67558i 0.00467524 + 0.274560i
\(291\) −7.70933 + 15.1304i −0.451929 + 0.886960i
\(292\) −25.9106 + 14.6768i −1.51630 + 0.858895i
\(293\) 20.4324i 1.19367i 0.802363 + 0.596836i \(0.203576\pi\)
−0.802363 + 0.596836i \(0.796424\pi\)
\(294\) −17.0369 + 3.08521i −0.993612 + 0.179933i
\(295\) −30.2010 + 4.62738i −1.75837 + 0.269417i
\(296\) 5.47485 12.7697i 0.318219 0.742225i
\(297\) 2.90677 + 18.3527i 0.168668 + 1.06493i
\(298\) −0.421323 19.0880i −0.0244066 1.10574i
\(299\) −7.53825 7.53825i −0.435948 0.435948i
\(300\) 14.1521 11.0374i 0.817072 0.637244i
\(301\) 1.89640 1.89640i 0.109306 0.109306i
\(302\) 8.53770 8.92311i 0.491290 0.513467i
\(303\) −27.6025 + 4.37181i −1.58572 + 0.251154i
\(304\) −0.818566 + 11.8784i −0.0469480 + 0.681273i
\(305\) 2.51942 4.88360i 0.144262 0.279634i
\(306\) −0.320962 + 0.462915i −0.0183482 + 0.0264631i
\(307\) −22.2723 −1.27115 −0.635575 0.772040i \(-0.719237\pi\)
−0.635575 + 0.772040i \(0.719237\pi\)
\(308\) 0.839653 3.03364i 0.0478437 0.172858i
\(309\) −16.7819 8.55083i −0.954691 0.486440i
\(310\) −2.52506 4.75383i −0.143414 0.270000i
\(311\) 8.46687 26.0584i 0.480112 1.47763i −0.358824 0.933405i \(-0.616822\pi\)
0.838937 0.544229i \(-0.183178\pi\)
\(312\) −4.34566 7.29183i −0.246025 0.412818i
\(313\) 12.2721 + 6.25295i 0.693660 + 0.353437i 0.765014 0.644014i \(-0.222732\pi\)
−0.0713540 + 0.997451i \(0.522732\pi\)
\(314\) −23.8418 22.8120i −1.34547 1.28736i
\(315\) −0.0316250 0.206403i −0.00178186 0.0116295i
\(316\) −4.94018 + 7.47199i −0.277907 + 0.420332i
\(317\) 15.3547 + 21.1340i 0.862407 + 1.18700i 0.980990 + 0.194057i \(0.0621647\pi\)
−0.118583 + 0.992944i \(0.537835\pi\)
\(318\) −11.1087 5.35475i −0.622946 0.300280i
\(319\) 4.45714 3.23830i 0.249552 0.181310i
\(320\) −13.0193 + 12.2678i −0.727798 + 0.685791i
\(321\) −16.6172 12.0731i −0.927484 0.673857i
\(322\) 1.80357 + 3.35457i 0.100509 + 0.186943i
\(323\) 5.10094 + 1.65740i 0.283824 + 0.0922200i
\(324\) −11.9777 15.0424i −0.665427 0.835690i
\(325\) 8.36060 + 0.0843207i 0.463762 + 0.00467727i
\(326\) −0.558234 + 1.15809i −0.0309177 + 0.0641404i
\(327\) 9.18702 + 18.0305i 0.508043 + 0.997091i
\(328\) −10.2824 4.40845i −0.567751 0.243416i
\(329\) −4.12741 2.99874i −0.227551 0.165326i
\(330\) −20.2180 6.19071i −1.11297 0.340788i
\(331\) 4.50447 28.4401i 0.247588 1.56321i −0.480045 0.877244i \(-0.659380\pi\)
0.727634 0.685966i \(-0.240620\pi\)
\(332\) 2.98836 2.37951i 0.164008 0.130593i
\(333\) −0.878503 + 0.638270i −0.0481417 + 0.0349770i
\(334\) 0.768520 + 1.01013i 0.0420515 + 0.0552716i
\(335\) −11.1210 3.67552i −0.607603 0.200815i
\(336\) 0.736634 + 2.94182i 0.0401867 + 0.160489i
\(337\) −25.3418 12.9123i −1.38046 0.703378i −0.403136 0.915140i \(-0.632080\pi\)
−0.977321 + 0.211762i \(0.932080\pi\)
\(338\) −1.94232 + 14.2989i −0.105649 + 0.777760i
\(339\) −11.0720 21.7300i −0.601348 1.18021i
\(340\) 3.93613 + 7.03134i 0.213467 + 0.381328i
\(341\) −2.87911 + 5.65056i −0.155912 + 0.305995i
\(342\) 0.530229 0.764734i 0.0286715 0.0413521i
\(343\) 4.12861 + 4.12861i 0.222924 + 0.222924i
\(344\) 13.5095 + 11.8295i 0.728385 + 0.637801i
\(345\) 22.8544 11.5001i 1.23044 0.619145i
\(346\) −2.96069 5.50677i −0.159168 0.296046i
\(347\) 12.5305 17.2468i 0.672675 0.925858i −0.327142 0.944975i \(-0.606086\pi\)
0.999817 + 0.0191174i \(0.00608563\pi\)
\(348\) −2.19874 + 4.83115i −0.117865 + 0.258977i
\(349\) 4.63691 + 4.63691i 0.248208 + 0.248208i 0.820235 0.572027i \(-0.193843\pi\)
−0.572027 + 0.820235i \(0.693843\pi\)
\(350\) −2.85174 0.888949i −0.152432 0.0475163i
\(351\) 8.34004i 0.445158i
\(352\) 20.6391 + 4.26578i 1.10007 + 0.227367i
\(353\) 5.39560 + 34.0665i 0.287179 + 1.81317i 0.535543 + 0.844508i \(0.320107\pi\)
−0.248365 + 0.968667i \(0.579893\pi\)
\(354\) −33.2119 9.98651i −1.76519 0.530777i
\(355\) −0.0113769 + 2.25614i −0.000603821 + 0.119744i
\(356\) −8.00663 2.21608i −0.424351 0.117452i
\(357\) 1.36609 0.0723011
\(358\) 0.569410 0.821243i 0.0300942 0.0434041i
\(359\) 6.66582 2.16586i 0.351808 0.114309i −0.127781 0.991802i \(-0.540786\pi\)
0.479590 + 0.877493i \(0.340786\pi\)
\(360\) 1.36493 0.302710i 0.0719383 0.0159542i
\(361\) 9.64333 + 3.13331i 0.507544 + 0.164911i
\(362\) 16.2004 12.3255i 0.851476 0.647816i
\(363\) 1.59745 + 4.91644i 0.0838443 + 0.258046i
\(364\) −0.585231 + 1.28589i −0.0306744 + 0.0673990i
\(365\) 15.2644 29.5882i 0.798973 1.54872i
\(366\) 4.96412 3.77678i 0.259479 0.197416i
\(367\) 21.3410 + 3.38008i 1.11399 + 0.176439i 0.686181 0.727431i \(-0.259286\pi\)
0.427809 + 0.903869i \(0.359286\pi\)
\(368\) −21.6124 + 13.5353i −1.12662 + 0.705575i
\(369\) 0.513947 + 0.707387i 0.0267550 + 0.0368251i
\(370\) 2.69089 + 15.2990i 0.139893 + 0.795356i
\(371\) 0.321079 + 2.02721i 0.0166696 + 0.105248i
\(372\) −0.269595 6.10403i −0.0139779 0.316479i
\(373\) 21.5452 + 7.00047i 1.11557 + 0.362471i 0.808075 0.589079i \(-0.200509\pi\)
0.307495 + 0.951550i \(0.400509\pi\)
\(374\) 4.12230 8.55194i 0.213159 0.442210i
\(375\) −6.48861 + 18.9876i −0.335071 + 0.980517i
\(376\) 18.2058 28.9028i 0.938890 1.49055i
\(377\) −2.20328 + 1.12263i −0.113475 + 0.0578182i
\(378\) −0.857985 + 2.85338i −0.0441300 + 0.146762i
\(379\) 0.936702 + 5.91410i 0.0481151 + 0.303787i 0.999996 0.00268003i \(-0.000853081\pi\)
−0.951881 + 0.306467i \(0.900853\pi\)
\(380\) −6.50248 11.6158i −0.333570 0.595876i
\(381\) −0.121787 + 0.768933i −0.00623934 + 0.0393936i
\(382\) 3.14517 6.52483i 0.160921 0.333839i
\(383\) −4.63669 + 29.2749i −0.236924 + 1.49588i 0.526608 + 0.850108i \(0.323464\pi\)
−0.763532 + 0.645770i \(0.776536\pi\)
\(384\) −19.3275 + 6.22445i −0.986302 + 0.317640i
\(385\) 1.07061 + 3.35243i 0.0545633 + 0.170855i
\(386\) −3.08588 + 0.0681135i −0.157067 + 0.00346689i
\(387\) −0.433682 1.33474i −0.0220453 0.0678485i
\(388\) 3.78209 + 18.5417i 0.192007 + 0.941310i
\(389\) −3.12366 6.13052i −0.158376 0.310830i 0.798160 0.602446i \(-0.205807\pi\)
−0.956535 + 0.291616i \(0.905807\pi\)
\(390\) 8.52822 + 4.16400i 0.431843 + 0.210852i
\(391\) 3.54973 + 10.9250i 0.179518 + 0.552499i
\(392\) −12.7106 + 14.5158i −0.641982 + 0.733159i
\(393\) 21.8108 21.8108i 1.10021 1.10021i
\(394\) −0.892107 + 0.161552i −0.0449437 + 0.00813886i
\(395\) 0.0504999 10.0146i 0.00254092 0.503890i
\(396\) −1.21498 1.11220i −0.0610551 0.0558900i
\(397\) −4.85312 + 6.67975i −0.243571 + 0.335247i −0.913247 0.407407i \(-0.866433\pi\)
0.669676 + 0.742654i \(0.266433\pi\)
\(398\) −9.35131 8.94741i −0.468739 0.448493i
\(399\) −2.25677 −0.112980
\(400\) 4.67569 19.4458i 0.233784 0.972288i
\(401\) 27.9196 1.39424 0.697119 0.716956i \(-0.254465\pi\)
0.697119 + 0.716956i \(0.254465\pi\)
\(402\) −9.60603 9.19113i −0.479105 0.458412i
\(403\) 1.67309 2.30281i 0.0833424 0.114711i
\(404\) −21.0283 + 22.9716i −1.04620 + 1.14288i
\(405\) 20.4123 + 6.74634i 1.01429 + 0.335228i
\(406\) 0.869299 0.157422i 0.0431426 0.00781270i
\(407\) 12.9409 12.9409i 0.641455 0.641455i
\(408\) 0.605131 + 9.12660i 0.0299584 + 0.451834i
\(409\) −2.11200 6.50007i −0.104432 0.321408i 0.885165 0.465277i \(-0.154045\pi\)
−0.989597 + 0.143869i \(0.954045\pi\)
\(410\) 12.3190 2.16675i 0.608393 0.107008i
\(411\) 12.9159 + 25.3488i 0.637092 + 1.25036i
\(412\) −20.5655 + 4.19492i −1.01319 + 0.206669i
\(413\) 1.78369 + 5.48964i 0.0877698 + 0.270128i
\(414\) 1.99257 0.0439812i 0.0979293 0.00216156i
\(415\) −1.34024 + 4.05515i −0.0657899 + 0.199059i
\(416\) −8.85006 3.34022i −0.433910 0.163768i
\(417\) −5.51094 + 34.7947i −0.269872 + 1.70390i
\(418\) −6.81004 + 14.1278i −0.333090 + 0.691012i
\(419\) −0.688987 + 4.35009i −0.0336592 + 0.212516i −0.998786 0.0492686i \(-0.984311\pi\)
0.965126 + 0.261784i \(0.0843110\pi\)
\(420\) −2.48939 2.30198i −0.121470 0.112325i
\(421\) −3.49827 22.0872i −0.170495 1.07647i −0.913399 0.407067i \(-0.866552\pi\)
0.742903 0.669399i \(-0.233448\pi\)
\(422\) −2.06203 + 6.85765i −0.100378 + 0.333825i
\(423\) −2.37874 + 1.21203i −0.115658 + 0.0589307i
\(424\) −13.4012 + 3.04306i −0.650822 + 0.147784i
\(425\) −7.98562 4.17085i −0.387359 0.202316i
\(426\) −1.11201 + 2.30693i −0.0538772 + 0.111771i
\(427\) −0.987338 0.320806i −0.0477806 0.0155249i
\(428\) −22.8670 + 1.00996i −1.10532 + 0.0488183i
\(429\) −1.74913 11.0436i −0.0844486 0.533188i
\(430\) −19.8796 2.80255i −0.958681 0.135151i
\(431\) −11.8852 16.3586i −0.572490 0.787965i 0.420357 0.907359i \(-0.361905\pi\)
−0.992847 + 0.119394i \(0.961905\pi\)
\(432\) −19.4430 4.46810i −0.935453 0.214972i
\(433\) −29.2470 4.63226i −1.40552 0.222612i −0.592839 0.805321i \(-0.701993\pi\)
−0.812681 + 0.582709i \(0.801993\pi\)
\(434\) −0.809317 + 0.615741i −0.0388485 + 0.0295565i
\(435\) −0.898790 5.86603i −0.0430937 0.281255i
\(436\) 20.5249 + 9.34123i 0.982965 + 0.447364i
\(437\) −5.86415 18.0480i −0.280520 0.863353i
\(438\) 30.0760 22.8823i 1.43709 1.09336i
\(439\) −5.26121 1.70947i −0.251104 0.0815886i 0.180760 0.983527i \(-0.442144\pi\)
−0.431864 + 0.901939i \(0.642144\pi\)
\(440\) −21.9227 + 8.63757i −1.04513 + 0.411780i
\(441\) 1.43416 0.465986i 0.0682932 0.0221898i
\(442\) −2.42793 + 3.50173i −0.115485 + 0.166560i
\(443\) 5.09044 0.241854 0.120927 0.992661i \(-0.461413\pi\)
0.120927 + 0.992661i \(0.461413\pi\)
\(444\) −4.70343 + 16.9933i −0.223215 + 0.806468i
\(445\) 8.84800 2.82564i 0.419436 0.133948i
\(446\) 18.5648 + 5.58225i 0.879067 + 0.264327i
\(447\) 3.79038 + 23.9315i 0.179279 + 1.13192i
\(448\) 2.68425 + 2.05325i 0.126819 + 0.0970067i
\(449\) 31.4745i 1.48538i 0.669638 + 0.742688i \(0.266449\pi\)
−0.669638 + 0.742688i \(0.733551\pi\)
\(450\) −1.09197 + 1.11846i −0.0514759 + 0.0527247i
\(451\) −10.4202 10.4202i −0.490669 0.490669i
\(452\) −24.7362 11.2578i −1.16349 0.529525i
\(453\) −9.21209 + 12.6794i −0.432822 + 0.595728i
\(454\) −3.32376 6.18207i −0.155992 0.290139i
\(455\) −0.239228 1.56134i −0.0112152 0.0731968i
\(456\) −0.999674 15.0771i −0.0468140 0.706051i
\(457\) −19.1131 19.1131i −0.894074 0.894074i 0.100830 0.994904i \(-0.467850\pi\)
−0.994904 + 0.100830i \(0.967850\pi\)
\(458\) −14.2385 + 20.5358i −0.665323 + 0.959576i
\(459\) −4.07984 + 8.00713i −0.190430 + 0.373741i
\(460\) 11.9409 25.8899i 0.556747 1.20712i
\(461\) 13.7469 + 26.9798i 0.640257 + 1.25657i 0.951910 + 0.306379i \(0.0991173\pi\)
−0.311653 + 0.950196i \(0.600883\pi\)
\(462\) −0.537681 + 3.95828i −0.0250152 + 0.184156i
\(463\) −12.0209 6.12495i −0.558658 0.284650i 0.151775 0.988415i \(-0.451501\pi\)
−0.710433 + 0.703765i \(0.751501\pi\)
\(464\) 1.43678 + 5.73790i 0.0667006 + 0.266376i
\(465\) 3.98734 + 5.54671i 0.184908 + 0.257222i
\(466\) 1.81029 + 2.37940i 0.0838599 + 0.110224i
\(467\) 9.40238 6.83123i 0.435090 0.316111i −0.348591 0.937275i \(-0.613340\pi\)
0.783681 + 0.621164i \(0.213340\pi\)
\(468\) 0.460524 + 0.578358i 0.0212877 + 0.0267346i
\(469\) −0.346149 + 2.18550i −0.0159837 + 0.100917i
\(470\) 0.650222 + 38.1852i 0.0299925 + 1.76135i
\(471\) 33.8781 + 24.6139i 1.56102 + 1.13415i
\(472\) −35.8852 + 14.3483i −1.65175 + 0.660432i
\(473\) 10.7381 + 21.0748i 0.493740 + 0.969019i
\(474\) 4.93602 10.2400i 0.226719 0.470340i
\(475\) 13.1922 + 6.89023i 0.605301 + 0.316145i
\(476\) 1.19091 0.948276i 0.0545853 0.0434641i
\(477\) 1.02148 + 0.331900i 0.0467705 + 0.0151967i
\(478\) 11.0818 + 20.6118i 0.506872 + 0.942764i
\(479\) 5.75482 + 4.18112i 0.262945 + 0.191040i 0.711444 0.702743i \(-0.248041\pi\)
−0.448500 + 0.893783i \(0.648041\pi\)
\(480\) 14.2764 17.6509i 0.651625 0.805650i
\(481\) −6.64546 + 4.82821i −0.303007 + 0.220147i
\(482\) 38.7652 + 18.6861i 1.76571 + 0.851127i
\(483\) −2.84103 3.91035i −0.129272 0.177927i
\(484\) 4.80537 + 3.17712i 0.218426 + 0.144414i
\(485\) −14.8847 15.0356i −0.675878 0.682729i
\(486\) 2.34278 + 2.24159i 0.106271 + 0.101681i
\(487\) −26.4109 13.4570i −1.19679 0.609797i −0.262028 0.965060i \(-0.584391\pi\)
−0.934766 + 0.355263i \(0.884391\pi\)
\(488\) 1.70589 6.73834i 0.0772220 0.305030i
\(489\) 0.504168 1.55167i 0.0227993 0.0701689i
\(490\) 3.01131 21.3604i 0.136037 0.964965i
\(491\) 37.4330 + 19.0730i 1.68933 + 0.860754i 0.989172 + 0.146763i \(0.0468853\pi\)
0.700154 + 0.713992i \(0.253115\pi\)
\(492\) 13.6833 + 3.78729i 0.616893 + 0.170744i
\(493\) 2.66450 0.120003
\(494\) 4.01093 5.78485i 0.180460 0.260273i
\(495\) 1.81744 + 0.297256i 0.0816879 + 0.0133607i
\(496\) −4.47216 5.13415i −0.200806 0.230530i
\(497\) 0.420988 0.0666779i 0.0188839 0.00299091i
\(498\) −3.35145 + 3.50275i −0.150182 + 0.156962i
\(499\) −12.1789 + 12.1789i −0.545203 + 0.545203i −0.925049 0.379847i \(-0.875977\pi\)
0.379847 + 0.925049i \(0.375977\pi\)
\(500\) 7.52378 + 21.0569i 0.336474 + 0.941693i
\(501\) −1.13897 1.13897i −0.0508856 0.0508856i
\(502\) −0.382406 17.3249i −0.0170676 0.773248i
\(503\) −6.52036 41.1679i −0.290728 1.83559i −0.510307 0.859992i \(-0.670468\pi\)
0.219578 0.975595i \(-0.429532\pi\)
\(504\) −0.0980604 0.245251i −0.00436796 0.0109243i
\(505\) 5.62022 34.3623i 0.250096 1.52910i
\(506\) −33.0525 + 5.98549i −1.46936 + 0.266087i
\(507\) 18.3130i 0.813307i
\(508\) 0.427588 + 0.754869i 0.0189711 + 0.0334919i
\(509\) 11.4687 22.5085i 0.508340 0.997673i −0.484108 0.875008i \(-0.660856\pi\)
0.992448 0.122665i \(-0.0391441\pi\)
\(510\) −6.15083 8.16967i −0.272363 0.361759i
\(511\) −5.98196 1.94366i −0.264627 0.0859824i
\(512\) −12.5283 + 18.8425i −0.553680 + 0.832730i
\(513\) 6.73988 13.2278i 0.297573 0.584020i
\(514\) −0.0923839 4.18545i −0.00407488 0.184612i
\(515\) 16.6767 16.5094i 0.734865 0.727491i
\(516\) −19.0091 12.5681i −0.836831 0.553279i
\(517\) 36.4012 26.4470i 1.60092 1.16314i
\(518\) 2.77032 0.968224i 0.121721 0.0425413i
\(519\) 4.66377 + 6.41913i 0.204717 + 0.281768i
\(520\) 10.3251 2.28986i 0.452785 0.100417i
\(521\) −12.4096 + 17.0804i −0.543676 + 0.748305i −0.989137 0.146996i \(-0.953040\pi\)
0.445461 + 0.895301i \(0.353040\pi\)
\(522\) 0.133121 0.442716i 0.00582653 0.0193772i
\(523\) 7.01729 21.5970i 0.306845 0.944371i −0.672137 0.740426i \(-0.734624\pi\)
0.978982 0.203945i \(-0.0653764\pi\)
\(524\) 3.87388 34.1539i 0.169231 1.49202i
\(525\) 3.73796 + 0.630742i 0.163138 + 0.0275278i
\(526\) 14.1994 + 40.6279i 0.619123 + 1.77146i
\(527\) −2.73281 + 1.39243i −0.119043 + 0.0606554i
\(528\) −26.6828 1.83877i −1.16122 0.0800221i
\(529\) 10.3707 14.2740i 0.450898 0.620608i
\(530\) 10.6778 11.0477i 0.463813 0.479882i
\(531\) 2.98334 + 0.472515i 0.129466 + 0.0205054i
\(532\) −1.96738 + 1.56655i −0.0852968 + 0.0679185i
\(533\) 3.88776 + 5.35105i 0.168398 + 0.231780i
\(534\) 10.4470 + 1.41909i 0.452087 + 0.0614101i
\(535\) 20.7791 14.9374i 0.898360 0.645801i
\(536\) −14.7543 1.34446i −0.637288 0.0580719i
\(537\) −0.575760 + 1.12999i −0.0248459 + 0.0487628i
\(538\) −1.97952 + 1.50605i −0.0853433 + 0.0649305i
\(539\) −22.6446 + 11.5380i −0.975370 + 0.496976i
\(540\) 20.9273 7.71634i 0.900567 0.332058i
\(541\) −33.1121 16.8715i −1.42360 0.725360i −0.438724 0.898622i \(-0.644569\pi\)
−0.984876 + 0.173261i \(0.944569\pi\)
\(542\) 6.55378 + 36.1907i 0.281509 + 1.55452i
\(543\) −18.2669 + 18.2669i −0.783908 + 0.783908i
\(544\) 6.86280 + 7.53622i 0.294240 + 0.323113i
\(545\) −24.9215 + 3.81846i −1.06752 + 0.163565i
\(546\) 0.516285 1.71700i 0.0220950 0.0734808i
\(547\) 26.9734 + 19.5973i 1.15330 + 0.837921i 0.988916 0.148475i \(-0.0474365\pi\)
0.164384 + 0.986396i \(0.447437\pi\)
\(548\) 28.8556 + 13.1327i 1.23265 + 0.560999i
\(549\) −0.384140 + 0.384140i −0.0163947 + 0.0163947i
\(550\) 15.2282 21.4969i 0.649334 0.916633i
\(551\) −4.40175 −0.187521
\(552\) 24.8659 20.7126i 1.05836 0.881587i
\(553\) −1.86869 + 0.295971i −0.0794647 + 0.0125860i
\(554\) 12.2822 + 22.8444i 0.521819 + 0.970564i
\(555\) −5.99717 18.7791i −0.254566 0.797128i
\(556\) 19.3486 + 34.1583i 0.820565 + 1.44864i
\(557\) 22.4071i 0.949420i −0.880142 0.474710i \(-0.842553\pi\)
0.880142 0.474710i \(-0.157447\pi\)
\(558\) 0.0948247 + 0.523632i 0.00401425 + 0.0221671i
\(559\) −3.28060 10.0967i −0.138755 0.427043i
\(560\) −3.76810 0.278766i −0.159231 0.0117800i
\(561\) −3.72305 + 11.4584i −0.157187 + 0.483773i
\(562\) −36.3441 4.93687i −1.53308 0.208249i
\(563\) −8.28321 + 2.69138i −0.349096 + 0.113428i −0.478316 0.878188i \(-0.658753\pi\)
0.129220 + 0.991616i \(0.458753\pi\)
\(564\) −17.9569 + 39.4557i −0.756124 + 1.66138i
\(565\) 30.0349 4.60193i 1.26358 0.193605i
\(566\) 1.17950 8.68318i 0.0495779 0.364981i
\(567\) 0.635350 4.01144i 0.0266822 0.168465i
\(568\) 0.631947 + 2.78301i 0.0265159 + 0.116773i
\(569\) −30.6545 + 22.2718i −1.28510 + 0.933683i −0.999694 0.0247219i \(-0.992130\pi\)
−0.285411 + 0.958405i \(0.592130\pi\)
\(570\) 10.1611 + 13.4963i 0.425604 + 0.565297i
\(571\) 8.64837 1.36977i 0.361923 0.0573229i 0.0271750 0.999631i \(-0.491349\pi\)
0.334748 + 0.942308i \(0.391349\pi\)
\(572\) −9.19076 8.41324i −0.384285 0.351775i
\(573\) −2.84056 + 8.74234i −0.118666 + 0.365216i
\(574\) −0.779632 2.23071i −0.0325412 0.0931082i
\(575\) 4.66877 + 31.5324i 0.194701 + 1.31499i
\(576\) 1.59504 0.763763i 0.0664600 0.0318234i
\(577\) 3.33958 + 6.55430i 0.139029 + 0.272859i 0.950014 0.312208i \(-0.101068\pi\)
−0.810985 + 0.585066i \(0.801068\pi\)
\(578\) −17.1312 + 9.21048i −0.712562 + 0.383105i
\(579\) 3.86891 0.612776i 0.160787 0.0254661i
\(580\) −4.85546 4.48991i −0.201612 0.186434i
\(581\) 0.796921 + 0.126220i 0.0330619 + 0.00523649i
\(582\) −7.92328 22.6704i −0.328431 0.939719i
\(583\) −17.8788 2.83172i −0.740463 0.117278i
\(584\) 10.3354 40.8254i 0.427683 1.68937i
\(585\) −0.784821 0.259386i −0.0324484 0.0107243i
\(586\) −20.8783 19.9765i −0.862474 0.825222i
\(587\) 2.12530 0.690551i 0.0877204 0.0285021i −0.264828 0.964296i \(-0.585315\pi\)
0.352548 + 0.935794i \(0.385315\pi\)
\(588\) 13.5042 20.4251i 0.556906 0.842316i
\(589\) 4.51459 2.30030i 0.186020 0.0947821i
\(590\) 24.7988 35.3843i 1.02095 1.45675i
\(591\) 1.09424 0.355541i 0.0450112 0.0146250i
\(592\) 7.69570 + 18.0791i 0.316291 + 0.743048i
\(593\) −26.3673 26.3673i −1.08277 1.08277i −0.996250 0.0865253i \(-0.972424\pi\)
−0.0865253 0.996250i \(-0.527576\pi\)
\(594\) −21.5951 14.9730i −0.886058 0.614349i
\(595\) −0.534109 + 1.61604i −0.0218963 + 0.0662513i
\(596\) 19.9165 + 18.2316i 0.815812 + 0.746797i
\(597\) 13.2878 + 9.65416i 0.543834 + 0.395118i
\(598\) 15.0728 0.332697i 0.616374 0.0136050i
\(599\) 20.1294i 0.822465i 0.911530 + 0.411233i \(0.134902\pi\)
−0.911530 + 0.411233i \(0.865098\pi\)
\(600\) −2.55809 + 25.2521i −0.104433 + 1.03091i
\(601\) 6.76800i 0.276072i −0.990427 0.138036i \(-0.955921\pi\)
0.990427 0.138036i \(-0.0440790\pi\)
\(602\) 0.0836965 + 3.79187i 0.00341122 + 0.154545i
\(603\) 0.936772 + 0.680605i 0.0381483 + 0.0277164i
\(604\) 0.770625 + 17.4481i 0.0313563 + 0.709951i
\(605\) −6.44057 0.0324773i −0.261847 0.00132039i
\(606\) 22.5195 32.4792i 0.914791 1.31938i
\(607\) 10.1383 + 10.1383i 0.411503 + 0.411503i 0.882262 0.470759i \(-0.156020\pi\)
−0.470759 + 0.882262i \(0.656020\pi\)
\(608\) −11.3373 12.4498i −0.459789 0.504907i
\(609\) −1.06627 + 0.346452i −0.0432074 + 0.0140389i
\(610\) 2.52697 + 7.34905i 0.102314 + 0.297554i
\(611\) −17.9940 + 9.16840i −0.727960 + 0.370914i
\(612\) −0.159216 0.780554i −0.00643592 0.0315520i
\(613\) −20.6969 + 6.72482i −0.835938 + 0.271613i −0.695545 0.718483i \(-0.744837\pi\)
−0.140394 + 0.990096i \(0.544837\pi\)
\(614\) 21.7754 22.7584i 0.878784 0.918454i
\(615\) −15.1213 + 4.82903i −0.609748 + 0.194725i
\(616\) 2.27892 + 3.82393i 0.0918204 + 0.154071i
\(617\) −3.86331 0.611888i −0.155531 0.0246337i 0.0781833 0.996939i \(-0.475088\pi\)
−0.233714 + 0.972305i \(0.575088\pi\)
\(618\) 25.1450 8.78814i 1.01148 0.353511i
\(619\) 11.2663 + 1.78440i 0.452830 + 0.0717212i 0.378684 0.925526i \(-0.376377\pi\)
0.0741463 + 0.997247i \(0.476377\pi\)
\(620\) 7.32630 + 2.06761i 0.294231 + 0.0830372i
\(621\) 31.4047 4.97402i 1.26023 0.199600i
\(622\) 18.3491 + 34.1286i 0.735731 + 1.36843i
\(623\) −0.796632 1.56348i −0.0319164 0.0626394i
\(624\) 11.6997 + 2.68864i 0.468362 + 0.107632i
\(625\) −19.9249 15.0996i −0.796997 0.603983i
\(626\) −18.3877 + 6.42648i −0.734921 + 0.256854i
\(627\) 6.15047 18.9292i 0.245626 0.755960i
\(628\) 46.6197 2.05904i 1.86033 0.0821647i
\(629\) 8.74209 1.38461i 0.348570 0.0552081i
\(630\) 0.241827 + 0.169483i 0.00963461 + 0.00675236i
\(631\) 1.47108 1.06880i 0.0585629 0.0425484i −0.558119 0.829761i \(-0.688477\pi\)
0.616682 + 0.787213i \(0.288477\pi\)
\(632\) −2.80510 12.3533i −0.111581 0.491387i
\(633\) 1.42163 8.97585i 0.0565049 0.356758i
\(634\) −36.6073 4.97263i −1.45386 0.197488i
\(635\) −0.862010 0.444705i −0.0342078 0.0176476i
\(636\) 16.3325 6.11587i 0.647625 0.242510i
\(637\) 10.8487 3.52496i 0.429842 0.139664i
\(638\) −1.04872 + 7.72047i −0.0415194 + 0.305656i
\(639\) 0.0689251 0.212130i 0.00272663 0.00839172i
\(640\) 0.193247 25.2975i 0.00763875 0.999971i
\(641\) 7.37190 + 22.6884i 0.291172 + 0.896137i 0.984480 + 0.175495i \(0.0561526\pi\)
−0.693308 + 0.720642i \(0.743847\pi\)
\(642\) 28.5831 5.17612i 1.12809 0.204285i
\(643\) 39.3267i 1.55089i 0.631414 + 0.775446i \(0.282475\pi\)
−0.631414 + 0.775446i \(0.717525\pi\)
\(644\) −5.19110 1.43680i −0.204558 0.0566178i
\(645\) 25.4777 + 0.128474i 1.00318 + 0.00505867i
\(646\) −6.68070 + 3.59184i −0.262849 + 0.141319i
\(647\) 6.96151 1.10259i 0.273685 0.0433474i −0.0180833 0.999836i \(-0.505756\pi\)
0.291768 + 0.956489i \(0.405756\pi\)
\(648\) 27.0812 + 2.46773i 1.06385 + 0.0969416i
\(649\) −50.9068 −1.99827
\(650\) −8.26023 + 8.46062i −0.323993 + 0.331853i
\(651\) 0.912551 0.912551i 0.0357657 0.0357657i
\(652\) −0.637580 1.70266i −0.0249696 0.0666815i
\(653\) 28.8244 + 20.9422i 1.12799 + 0.819531i 0.985401 0.170252i \(-0.0544581\pi\)
0.142586 + 0.989782i \(0.454458\pi\)
\(654\) −27.4061 8.24075i −1.07166 0.322239i
\(655\) 17.2740 + 34.3290i 0.674952 + 1.34135i
\(656\) 14.5577 6.19671i 0.568381 0.241941i
\(657\) −2.32738 + 2.32738i −0.0907999 + 0.0907999i
\(658\) 7.09951 1.28565i 0.276768 0.0501199i
\(659\) 13.3836 + 6.81930i 0.521352 + 0.265642i 0.694803 0.719200i \(-0.255492\pi\)
−0.173451 + 0.984843i \(0.555492\pi\)
\(660\) 26.0928 14.6067i 1.01566 0.568564i
\(661\) −24.8114 + 12.6420i −0.965050 + 0.491717i −0.864180 0.503182i \(-0.832162\pi\)
−0.100869 + 0.994900i \(0.532162\pi\)
\(662\) 24.6568 + 32.4084i 0.958314 + 1.25959i
\(663\) 2.45501 4.81822i 0.0953445 0.187124i
\(664\) −0.490244 + 5.38000i −0.0190252 + 0.208785i
\(665\) 0.882346 2.66970i 0.0342159 0.103527i
\(666\) 0.206704 1.52171i 0.00800961 0.0589649i
\(667\) −5.54133 7.62698i −0.214561 0.295318i
\(668\) −1.78354 0.202297i −0.0690074 0.00782711i
\(669\) −24.2991 3.84859i −0.939456 0.148795i
\(670\) 14.6286 7.77015i 0.565151 0.300187i
\(671\) 5.38166 7.40722i 0.207757 0.285952i
\(672\) −3.72622 2.12348i −0.143742 0.0819149i
\(673\) 15.1781 7.73364i 0.585074 0.298110i −0.136287 0.990669i \(-0.543517\pi\)
0.721361 + 0.692559i \(0.243517\pi\)
\(674\) 37.9705 13.2707i 1.46257 0.511167i
\(675\) −14.8605 + 20.0258i −0.571980 + 0.770794i
\(676\) −12.7120 15.9646i −0.488923 0.614024i
\(677\) −11.6430 + 35.8335i −0.447478 + 1.37720i 0.432266 + 0.901746i \(0.357714\pi\)
−0.879743 + 0.475449i \(0.842286\pi\)
\(678\) 33.0292 + 9.93157i 1.26848 + 0.381420i
\(679\) −2.34937 + 3.23363i −0.0901605 + 0.124095i
\(680\) −11.0331 2.85243i −0.423100 0.109386i
\(681\) 5.23569 + 7.20631i 0.200632 + 0.276146i
\(682\) −2.95901 8.46643i −0.113306 0.324196i
\(683\) −7.69009 + 5.58718i −0.294253 + 0.213787i −0.725110 0.688633i \(-0.758211\pi\)
0.430857 + 0.902420i \(0.358211\pi\)
\(684\) 0.263024 + 1.28947i 0.0100570 + 0.0493042i
\(685\) −35.0367 + 5.36831i −1.33868 + 0.205112i
\(686\) −8.25521 + 0.182214i −0.315185 + 0.00695697i
\(687\) 14.3973 28.2563i 0.549292 1.07805i
\(688\) −25.2957 + 2.23883i −0.964391 + 0.0853546i
\(689\) 7.72704 + 2.51067i 0.294377 + 0.0956488i
\(690\) −10.5934 + 34.5967i −0.403285 + 1.31708i
\(691\) 14.6298 28.7126i 0.556544 1.09228i −0.425733 0.904849i \(-0.639984\pi\)
0.982278 0.187431i \(-0.0600161\pi\)
\(692\) 8.52159 + 2.35861i 0.323942 + 0.0896610i
\(693\) 0.347913i 0.0132161i
\(694\) 5.37223 + 29.6660i 0.203927 + 1.12611i
\(695\) −39.0065 20.1232i −1.47960 0.763317i
\(696\) −2.78690 6.97009i −0.105637 0.264201i
\(697\) −1.11491 7.03929i −0.0422304 0.266632i
\(698\) −9.27155 + 0.204648i −0.350934 + 0.00774603i
\(699\) −2.68291 2.68291i −0.101477 0.101477i
\(700\) 3.69647 2.04486i 0.139713 0.0772885i
\(701\) −26.7287 + 26.7287i −1.00953 + 1.00953i −0.00957529 + 0.999954i \(0.503048\pi\)
−0.999954 + 0.00957529i \(0.996952\pi\)
\(702\) 8.52205 + 8.15397i 0.321644 + 0.307752i
\(703\) −14.4419 + 2.28737i −0.544687 + 0.0862700i
\(704\) −24.5375 + 16.9190i −0.924793 + 0.637657i
\(705\) −7.34035 47.9075i −0.276454 1.80430i
\(706\) −40.0851 27.7931i −1.50862 1.04601i
\(707\) −6.57797 −0.247390
\(708\) 42.6754 24.1730i 1.60384 0.908478i
\(709\) 32.5034 + 16.5613i 1.22069 + 0.621974i 0.941095 0.338143i \(-0.109799\pi\)
0.279598 + 0.960117i \(0.409799\pi\)
\(710\) −2.29426 2.21743i −0.0861020 0.0832188i
\(711\) −0.305946 + 0.941605i −0.0114739 + 0.0353129i
\(712\) 10.0924 6.01473i 0.378230 0.225411i
\(713\) 9.66914 + 4.92667i 0.362112 + 0.184505i
\(714\) −1.33561 + 1.39590i −0.0499839 + 0.0522403i
\(715\) 13.7481 + 2.24860i 0.514149 + 0.0840930i
\(716\) 0.282460 + 1.38476i 0.0105560 + 0.0517508i
\(717\) −17.4565 24.0268i −0.651924 0.897297i
\(718\) −4.30398 + 8.92883i −0.160623 + 0.333221i
\(719\) −10.0304 + 7.28754i −0.374072 + 0.271779i −0.758897 0.651210i \(-0.774262\pi\)
0.384825 + 0.922989i \(0.374262\pi\)
\(720\) −1.02516 + 1.69068i −0.0382056 + 0.0630079i
\(721\) −3.58659 2.60581i −0.133572 0.0970455i
\(722\) −12.6299 + 6.79039i −0.470035 + 0.252712i
\(723\) −51.9398 16.8763i −1.93166 0.627636i
\(724\) −3.24445 + 28.6045i −0.120579 + 1.06308i
\(725\) 7.29075 + 1.23024i 0.270772 + 0.0456899i
\(726\) −6.58554 3.17444i −0.244412 0.117815i
\(727\) 19.1931 + 37.6686i 0.711834 + 1.39705i 0.909048 + 0.416692i \(0.136811\pi\)
−0.197214 + 0.980360i \(0.563189\pi\)
\(728\) −0.741781 1.85520i −0.0274922 0.0687585i
\(729\) 20.0054 + 14.5348i 0.740942 + 0.538326i
\(730\) 15.3101 + 44.5255i 0.566653 + 1.64796i
\(731\) −1.78950 + 11.2984i −0.0661870 + 0.417888i
\(732\) −0.994161 + 8.76498i −0.0367452 + 0.323963i
\(733\) 7.83294 5.69096i 0.289316 0.210200i −0.433655 0.901079i \(-0.642776\pi\)
0.722971 + 0.690879i \(0.242776\pi\)
\(734\) −24.3187 + 18.5020i −0.897619 + 0.682923i
\(735\) −0.138044 + 27.3755i −0.00509183 + 1.00976i
\(736\) 7.29952 35.3173i 0.269064 1.30181i
\(737\) −17.3880 8.85963i −0.640495 0.326349i
\(738\) −1.22530 0.166442i −0.0451041 0.00612680i
\(739\) −8.12467 15.9456i −0.298871 0.586567i 0.691919 0.721975i \(-0.256766\pi\)
−0.990790 + 0.135408i \(0.956766\pi\)
\(740\) −18.2637 12.2080i −0.671387 0.448776i
\(741\) −4.05566 + 7.95969i −0.148989 + 0.292407i
\(742\) −2.38537 1.65390i −0.0875697 0.0607166i
\(743\) −11.4194 11.4194i −0.418937 0.418937i 0.465900 0.884837i \(-0.345730\pi\)
−0.884837 + 0.465900i \(0.845730\pi\)
\(744\) 6.50082 + 5.69237i 0.238332 + 0.208692i
\(745\) −29.7923 4.87276i −1.09151 0.178524i
\(746\) −28.2178 + 15.1711i −1.03313 + 0.555455i
\(747\) 0.248176 0.341585i 0.00908028 0.0124979i
\(748\) 4.70824 + 12.5734i 0.172150 + 0.459729i
\(749\) −3.41861 3.41861i −0.124913 0.124913i
\(750\) −13.0582 25.1942i −0.476817 0.919963i
\(751\) 39.6480i 1.44678i 0.690442 + 0.723388i \(0.257416\pi\)
−0.690442 + 0.723388i \(0.742584\pi\)
\(752\) 11.7340 + 46.8611i 0.427897 + 1.70885i
\(753\) 3.44028 + 21.7210i 0.125371 + 0.791559i
\(754\) 1.00699 3.34894i 0.0366726 0.121961i
\(755\) −11.3976 15.8550i −0.414801 0.577022i
\(756\) −2.07681 3.66643i −0.0755329 0.133347i
\(757\) 22.7149 0.825588 0.412794 0.910824i \(-0.364553\pi\)
0.412794 + 0.910824i \(0.364553\pi\)
\(758\) −6.95897 4.82501i −0.252761 0.175252i
\(759\) 40.5417 13.1728i 1.47157 0.478142i
\(760\) 18.2267 + 4.71222i 0.661150 + 0.170930i
\(761\) 8.82352 + 2.86693i 0.319852 + 0.103926i 0.464543 0.885551i \(-0.346219\pi\)
−0.144691 + 0.989477i \(0.546219\pi\)
\(762\) −0.666644 0.876222i −0.0241500 0.0317422i
\(763\) 1.47188 + 4.52999i 0.0532857 + 0.163997i
\(764\) 3.59222 + 9.59307i 0.129962 + 0.347065i
\(765\) 0.626605 + 0.632956i 0.0226549 + 0.0228846i
\(766\) −25.3806 33.3597i −0.917037 1.20533i
\(767\) 22.5676 + 3.57435i 0.814867 + 0.129062i
\(768\) 12.5360 25.8349i 0.452353 0.932235i
\(769\) 10.9407 + 15.0586i 0.394531 + 0.543026i 0.959361 0.282182i \(-0.0910581\pi\)
−0.564830 + 0.825208i \(0.691058\pi\)
\(770\) −4.47231 2.18366i −0.161171 0.0786935i
\(771\) 0.831122 + 5.24750i 0.0299321 + 0.188984i
\(772\) 2.94743 3.21982i 0.106080 0.115884i
\(773\) 11.9033