Properties

Label 128.3.l.a.3.3
Level 128
Weight 3
Character 128.3
Analytic conductor 3.488
Analytic rank 0
Dimension 496
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 128 = 2^{7} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 128.l (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.48774738381\)
Analytic rank: \(0\)
Dimension: \(496\)
Relative dimension: \(31\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 3.3
Character \(\chi\) \(=\) 128.3
Dual form 128.3.l.a.43.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.90117 + 0.620914i) q^{2} +(0.779996 - 0.640126i) q^{3} +(3.22893 - 2.36093i) q^{4} +(0.179045 + 0.0543127i) q^{5} +(-1.08545 + 1.70130i) q^{6} +(-2.44195 - 12.2765i) q^{7} +(-4.67283 + 6.49343i) q^{8} +(-1.55718 + 7.82847i) q^{9} +O(q^{10})\) \(q+(-1.90117 + 0.620914i) q^{2} +(0.779996 - 0.640126i) q^{3} +(3.22893 - 2.36093i) q^{4} +(0.179045 + 0.0543127i) q^{5} +(-1.08545 + 1.70130i) q^{6} +(-2.44195 - 12.2765i) q^{7} +(-4.67283 + 6.49343i) q^{8} +(-1.55718 + 7.82847i) q^{9} +(-0.374119 + 0.00791361i) q^{10} +(-0.360362 - 3.65882i) q^{11} +(1.00726 - 3.90844i) q^{12} +(-4.42408 - 14.5842i) q^{13} +(12.2652 + 21.8236i) q^{14} +(0.174421 - 0.0722477i) q^{15} +(4.85200 - 15.2466i) q^{16} +(5.83214 - 14.0800i) q^{17} +(-1.90034 - 15.8502i) q^{18} +(1.99470 - 3.73182i) q^{19} +(0.706353 - 0.247341i) q^{20} +(-9.76323 - 8.01248i) q^{21} +(2.95693 + 6.73230i) q^{22} +(28.6157 - 19.1204i) q^{23} +(0.511831 + 8.05606i) q^{24} +(-20.7576 - 13.8698i) q^{25} +(17.4665 + 24.9802i) q^{26} +(8.07753 + 15.1120i) q^{27} +(-36.8689 - 33.8747i) q^{28} +(0.216869 - 2.20191i) q^{29} +(-0.286746 + 0.245656i) q^{30} +(7.33155 + 7.33155i) q^{31} +(0.242322 + 31.9991i) q^{32} +(-2.62319 - 2.62319i) q^{33} +(-2.34543 + 30.3899i) q^{34} +(0.229552 - 2.33068i) q^{35} +(13.4545 + 28.9540i) q^{36} +(28.2321 + 52.8185i) q^{37} +(-1.47513 + 8.33338i) q^{38} +(-12.7865 - 8.54369i) q^{39} +(-1.18932 + 0.908823i) q^{40} +(-46.7256 + 31.2210i) q^{41} +(23.5367 + 9.17099i) q^{42} +(-25.1836 - 20.6676i) q^{43} +(-9.80181 - 10.9633i) q^{44} +(-0.703991 + 1.31707i) q^{45} +(-42.5313 + 54.1191i) q^{46} +(5.14627 - 12.4242i) q^{47} +(-5.97520 - 14.9982i) q^{48} +(-99.4795 + 41.2058i) q^{49} +(48.0758 + 13.4802i) q^{50} +(-4.46395 - 14.7157i) q^{51} +(-48.7175 - 36.6466i) q^{52} +(4.27149 + 43.3692i) q^{53} +(-24.7401 - 23.7151i) q^{54} +(0.134199 - 0.674666i) q^{55} +(91.1275 + 41.5094i) q^{56} +(-0.832978 - 4.18766i) q^{57} +(0.954890 + 4.32087i) q^{58} +(96.9754 + 29.4172i) q^{59} +(0.392623 - 0.645080i) q^{60} +(57.4420 - 47.1415i) q^{61} +(-18.4908 - 9.38630i) q^{62} +99.9089 q^{63} +(-20.3294 - 60.6854i) q^{64} -2.85152i q^{65} +(6.61592 + 3.35837i) q^{66} +(32.5831 + 39.7026i) q^{67} +(-14.4104 - 59.2327i) q^{68} +(10.0807 - 33.2315i) q^{69} +(1.01073 + 4.57356i) q^{70} +(-62.5563 + 12.4432i) q^{71} +(-43.5573 - 46.6926i) q^{72} +(36.4386 + 7.24810i) q^{73} +(-86.4699 - 82.8875i) q^{74} +(-25.0693 + 2.46911i) q^{75} +(-2.36983 - 16.7591i) q^{76} +(-44.0376 + 13.3587i) q^{77} +(29.6143 + 8.30371i) q^{78} +(-36.5862 - 88.3269i) q^{79} +(1.69681 - 2.46630i) q^{80} +(-50.3943 - 20.8740i) q^{81} +(69.4479 - 88.3692i) q^{82} +(111.195 + 59.4350i) q^{83} +(-50.4417 - 2.82141i) q^{84} +(1.80894 - 2.20420i) q^{85} +(60.7112 + 23.6559i) q^{86} +(-1.24034 - 1.85630i) q^{87} +(25.4422 + 14.7570i) q^{88} +(24.9043 - 37.2719i) q^{89} +(0.520620 - 2.94111i) q^{90} +(-168.240 + 89.9263i) q^{91} +(47.2562 - 129.298i) q^{92} +(10.4117 + 1.02546i) q^{93} +(-2.06960 + 26.8160i) q^{94} +(0.559826 - 0.559826i) q^{95} +(20.6725 + 24.8041i) q^{96} +(-34.9278 + 34.9278i) q^{97} +(163.543 - 140.108i) q^{98} +(29.2041 + 2.87636i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} + O(q^{10}) \) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} - 16q^{10} - 16q^{11} - 16q^{12} - 16q^{13} - 16q^{14} - 16q^{15} - 16q^{16} - 16q^{17} - 16q^{18} - 16q^{19} - 16q^{20} - 16q^{21} - 16q^{22} - 16q^{23} - 16q^{24} - 16q^{25} - 16q^{26} - 16q^{27} - 16q^{28} - 16q^{29} - 16q^{30} - 16q^{31} - 16q^{32} - 16q^{33} - 16q^{34} - 16q^{35} - 16q^{36} - 16q^{37} - 16q^{38} - 16q^{39} - 16q^{40} - 16q^{41} - 16q^{42} - 16q^{43} - 16q^{44} - 16q^{45} - 16q^{46} - 16q^{47} - 16q^{48} - 16q^{49} - 640q^{50} - 16q^{51} - 1072q^{52} - 16q^{53} - 1168q^{54} - 16q^{55} - 800q^{56} - 16q^{57} - 736q^{58} - 16q^{59} - 592q^{60} - 16q^{61} - 112q^{62} - 32q^{63} + 176q^{64} + 560q^{66} - 16q^{67} + 464q^{68} - 16q^{69} + 1328q^{70} - 16q^{71} + 1280q^{72} - 16q^{73} + 1216q^{74} - 16q^{75} + 1648q^{76} - 16q^{77} + 1424q^{78} - 16q^{79} + 800q^{80} - 16q^{81} - 16q^{82} - 16q^{83} - 16q^{84} - 16q^{85} - 16q^{86} - 16q^{87} - 16q^{88} - 16q^{89} - 16q^{90} - 16q^{91} - 16q^{92} - 16q^{93} - 16q^{94} - 16q^{95} - 16q^{96} - 16q^{97} - 16q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/128\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.90117 + 0.620914i −0.950587 + 0.310457i
\(3\) 0.779996 0.640126i 0.259999 0.213375i −0.495359 0.868689i \(-0.664963\pi\)
0.755357 + 0.655313i \(0.227463\pi\)
\(4\) 3.22893 2.36093i 0.807233 0.590233i
\(5\) 0.179045 + 0.0543127i 0.0358090 + 0.0108625i 0.308138 0.951342i \(-0.400294\pi\)
−0.272329 + 0.962204i \(0.587794\pi\)
\(6\) −1.08545 + 1.70130i −0.180908 + 0.283551i
\(7\) −2.44195 12.2765i −0.348850 1.75379i −0.613739 0.789509i \(-0.710335\pi\)
0.264889 0.964279i \(-0.414665\pi\)
\(8\) −4.67283 + 6.49343i −0.584103 + 0.811679i
\(9\) −1.55718 + 7.82847i −0.173020 + 0.869831i
\(10\) −0.374119 + 0.00791361i −0.0374119 + 0.000791361i
\(11\) −0.360362 3.65882i −0.0327602 0.332620i −0.997570 0.0696713i \(-0.977805\pi\)
0.964810 0.262949i \(-0.0846950\pi\)
\(12\) 1.00726 3.90844i 0.0839383 0.325704i
\(13\) −4.42408 14.5842i −0.340314 1.12187i −0.945457 0.325748i \(-0.894384\pi\)
0.605143 0.796117i \(-0.293116\pi\)
\(14\) 12.2652 + 21.8236i 0.876088 + 1.55883i
\(15\) 0.174421 0.0722477i 0.0116281 0.00481652i
\(16\) 4.85200 15.2466i 0.303250 0.952911i
\(17\) 5.83214 14.0800i 0.343067 0.828237i −0.654335 0.756205i \(-0.727051\pi\)
0.997402 0.0720325i \(-0.0229485\pi\)
\(18\) −1.90034 15.8502i −0.105574 0.880565i
\(19\) 1.99470 3.73182i 0.104984 0.196411i −0.823944 0.566671i \(-0.808231\pi\)
0.928928 + 0.370259i \(0.120731\pi\)
\(20\) 0.706353 0.247341i 0.0353176 0.0123671i
\(21\) −9.76323 8.01248i −0.464916 0.381547i
\(22\) 2.95693 + 6.73230i 0.134406 + 0.306014i
\(23\) 28.6157 19.1204i 1.24416 0.831322i 0.253456 0.967347i \(-0.418433\pi\)
0.990705 + 0.136025i \(0.0434328\pi\)
\(24\) 0.511831 + 8.05606i 0.0213263 + 0.335669i
\(25\) −20.7576 13.8698i −0.830305 0.554792i
\(26\) 17.4665 + 24.9802i 0.671789 + 0.960778i
\(27\) 8.07753 + 15.1120i 0.299168 + 0.559704i
\(28\) −36.8689 33.8747i −1.31675 1.20981i
\(29\) 0.216869 2.20191i 0.00747825 0.0759279i −0.990721 0.135910i \(-0.956604\pi\)
0.998199 + 0.0599818i \(0.0191043\pi\)
\(30\) −0.286746 + 0.245656i −0.00955820 + 0.00818854i
\(31\) 7.33155 + 7.33155i 0.236502 + 0.236502i 0.815400 0.578898i \(-0.196517\pi\)
−0.578898 + 0.815400i \(0.696517\pi\)
\(32\) 0.242322 + 31.9991i 0.00757255 + 0.999971i
\(33\) −2.62319 2.62319i −0.0794906 0.0794906i
\(34\) −2.34543 + 30.3899i −0.0689832 + 0.893819i
\(35\) 0.229552 2.33068i 0.00655862 0.0665908i
\(36\) 13.4545 + 28.9540i 0.373735 + 0.804278i
\(37\) 28.2321 + 52.8185i 0.763029 + 1.42753i 0.899517 + 0.436885i \(0.143918\pi\)
−0.136488 + 0.990642i \(0.543582\pi\)
\(38\) −1.47513 + 8.33338i −0.0388193 + 0.219299i
\(39\) −12.7865 8.54369i −0.327860 0.219069i
\(40\) −1.18932 + 0.908823i −0.0297331 + 0.0227206i
\(41\) −46.7256 + 31.2210i −1.13965 + 0.761488i −0.974413 0.224766i \(-0.927838\pi\)
−0.165235 + 0.986254i \(0.552838\pi\)
\(42\) 23.5367 + 9.17099i 0.560397 + 0.218357i
\(43\) −25.1836 20.6676i −0.585664 0.480642i 0.294280 0.955719i \(-0.404920\pi\)
−0.879944 + 0.475077i \(0.842420\pi\)
\(44\) −9.80181 10.9633i −0.222769 0.249166i
\(45\) −0.703991 + 1.31707i −0.0156442 + 0.0292683i
\(46\) −42.5313 + 54.1191i −0.924594 + 1.17650i
\(47\) 5.14627 12.4242i 0.109495 0.264345i −0.859629 0.510919i \(-0.829305\pi\)
0.969124 + 0.246575i \(0.0793051\pi\)
\(48\) −5.97520 14.9982i −0.124483 0.312462i
\(49\) −99.4795 + 41.2058i −2.03019 + 0.840934i
\(50\) 48.0758 + 13.4802i 0.961517 + 0.269604i
\(51\) −4.46395 14.7157i −0.0875285 0.288543i
\(52\) −48.7175 36.6466i −0.936875 0.704742i
\(53\) 4.27149 + 43.3692i 0.0805942 + 0.818286i 0.947488 + 0.319793i \(0.103613\pi\)
−0.866893 + 0.498494i \(0.833887\pi\)
\(54\) −24.7401 23.7151i −0.458149 0.439168i
\(55\) 0.134199 0.674666i 0.00243999 0.0122667i
\(56\) 91.1275 + 41.5094i 1.62728 + 0.741239i
\(57\) −0.832978 4.18766i −0.0146137 0.0734678i
\(58\) 0.954890 + 4.32087i 0.0164636 + 0.0744978i
\(59\) 96.9754 + 29.4172i 1.64365 + 0.498596i 0.970539 0.240944i \(-0.0774570\pi\)
0.673112 + 0.739540i \(0.264957\pi\)
\(60\) 0.392623 0.645080i 0.00654372 0.0107513i
\(61\) 57.4420 47.1415i 0.941673 0.772811i −0.0322995 0.999478i \(-0.510283\pi\)
0.973972 + 0.226667i \(0.0727831\pi\)
\(62\) −18.4908 9.38630i −0.298239 0.151392i
\(63\) 99.9089 1.58586
\(64\) −20.3294 60.6854i −0.317647 0.948209i
\(65\) 2.85152i 0.0438695i
\(66\) 6.61592 + 3.35837i 0.100241 + 0.0508843i
\(67\) 32.5831 + 39.7026i 0.486315 + 0.592576i 0.957131 0.289655i \(-0.0935405\pi\)
−0.470816 + 0.882231i \(0.656041\pi\)
\(68\) −14.4104 59.2327i −0.211918 0.871070i
\(69\) 10.0807 33.2315i 0.146097 0.481616i
\(70\) 1.01073 + 4.57356i 0.0144390 + 0.0653365i
\(71\) −62.5563 + 12.4432i −0.881074 + 0.175257i −0.614840 0.788652i \(-0.710779\pi\)
−0.266234 + 0.963908i \(0.585779\pi\)
\(72\) −43.5573 46.6926i −0.604962 0.648508i
\(73\) 36.4386 + 7.24810i 0.499159 + 0.0992890i 0.438248 0.898854i \(-0.355599\pi\)
0.0609116 + 0.998143i \(0.480599\pi\)
\(74\) −86.4699 82.8875i −1.16851 1.12010i
\(75\) −25.0693 + 2.46911i −0.334257 + 0.0329215i
\(76\) −2.36983 16.7591i −0.0311819 0.220515i
\(77\) −44.0376 + 13.3587i −0.571917 + 0.173489i
\(78\) 29.6143 + 8.30371i 0.379671 + 0.106458i
\(79\) −36.5862 88.3269i −0.463116 1.11806i −0.967111 0.254355i \(-0.918137\pi\)
0.503995 0.863707i \(-0.331863\pi\)
\(80\) 1.69681 2.46630i 0.0212101 0.0308287i
\(81\) −50.3943 20.8740i −0.622152 0.257704i
\(82\) 69.4479 88.3692i 0.846925 1.07767i
\(83\) 111.195 + 59.4350i 1.33970 + 0.716084i 0.976478 0.215619i \(-0.0691770\pi\)
0.363221 + 0.931703i \(0.381677\pi\)
\(84\) −50.4417 2.82141i −0.600497 0.0335882i
\(85\) 1.80894 2.20420i 0.0212816 0.0259318i
\(86\) 60.7112 + 23.6559i 0.705944 + 0.275069i
\(87\) −1.24034 1.85630i −0.0142568 0.0213368i
\(88\) 25.4422 + 14.7570i 0.289116 + 0.167694i
\(89\) 24.9043 37.2719i 0.279824 0.418786i −0.664760 0.747057i \(-0.731466\pi\)
0.944583 + 0.328271i \(0.106466\pi\)
\(90\) 0.520620 2.94111i 0.00578467 0.0326790i
\(91\) −168.240 + 89.9263i −1.84879 + 0.988201i
\(92\) 47.2562 129.298i 0.513654 1.40542i
\(93\) 10.4117 + 1.02546i 0.111954 + 0.0110265i
\(94\) −2.06960 + 26.8160i −0.0220170 + 0.285276i
\(95\) 0.559826 0.559826i 0.00589290 0.00589290i
\(96\) 20.6725 + 24.8041i 0.215338 + 0.258376i
\(97\) −34.9278 + 34.9278i −0.360080 + 0.360080i −0.863842 0.503762i \(-0.831949\pi\)
0.503762 + 0.863842i \(0.331949\pi\)
\(98\) 163.543 140.108i 1.66880 1.42967i
\(99\) 29.2041 + 2.87636i 0.294991 + 0.0290541i
\(100\) −99.7707 + 4.22271i −0.997707 + 0.0422271i
\(101\) −80.9960 + 43.2933i −0.801941 + 0.428646i −0.820828 0.571175i \(-0.806488\pi\)
0.0188871 + 0.999822i \(0.493988\pi\)
\(102\) 17.6239 + 25.2053i 0.172784 + 0.247111i
\(103\) 87.6953 131.245i 0.851411 1.27423i −0.108549 0.994091i \(-0.534621\pi\)
0.959960 0.280136i \(-0.0903794\pi\)
\(104\) 115.375 + 39.4222i 1.10937 + 0.379059i
\(105\) −1.31288 1.96486i −0.0125036 0.0187130i
\(106\) −35.0494 79.8002i −0.330655 0.752832i
\(107\) −87.1884 + 106.239i −0.814845 + 0.992892i 0.185103 + 0.982719i \(0.440738\pi\)
−0.999948 + 0.0101728i \(0.996762\pi\)
\(108\) 61.7602 + 29.7251i 0.571854 + 0.275232i
\(109\) 118.891 + 63.5487i 1.09075 + 0.583016i 0.915829 0.401567i \(-0.131534\pi\)
0.174917 + 0.984583i \(0.444034\pi\)
\(110\) 0.163773 + 1.36598i 0.00148885 + 0.0124180i
\(111\) 55.8314 + 23.1261i 0.502986 + 0.208344i
\(112\) −199.023 22.3342i −1.77699 0.199413i
\(113\) 20.8142 + 50.2500i 0.184197 + 0.444690i 0.988824 0.149091i \(-0.0476346\pi\)
−0.804627 + 0.593781i \(0.797635\pi\)
\(114\) 4.18382 + 7.44427i 0.0367001 + 0.0653006i
\(115\) 6.16198 1.86922i 0.0535824 0.0162541i
\(116\) −4.49830 7.62183i −0.0387785 0.0657054i
\(117\) 121.062 11.9235i 1.03471 0.101910i
\(118\) −202.633 + 4.28622i −1.71723 + 0.0363239i
\(119\) −187.095 37.2156i −1.57223 0.312736i
\(120\) −0.345905 + 1.47020i −0.00288254 + 0.0122516i
\(121\) 105.418 20.9689i 0.871222 0.173297i
\(122\) −79.9366 + 125.291i −0.655218 + 1.02697i
\(123\) −16.4604 + 54.2626i −0.133824 + 0.441159i
\(124\) 40.9824 + 6.36378i 0.330503 + 0.0513208i
\(125\) −5.93064 7.22651i −0.0474451 0.0578121i
\(126\) −189.944 + 62.0349i −1.50749 + 0.492340i
\(127\) 28.4528i 0.224038i −0.993706 0.112019i \(-0.964268\pi\)
0.993706 0.112019i \(-0.0357317\pi\)
\(128\) 76.3301 + 102.751i 0.596329 + 0.802740i
\(129\) −32.8730 −0.254829
\(130\) 1.77055 + 5.42124i 0.0136196 + 0.0417018i
\(131\) 0.389433 0.319599i 0.00297277 0.00243969i −0.632906 0.774229i \(-0.718138\pi\)
0.635878 + 0.771789i \(0.280638\pi\)
\(132\) −14.6633 2.27693i −0.111085 0.0172494i
\(133\) −50.6847 15.3750i −0.381088 0.115602i
\(134\) −86.5981 55.2503i −0.646254 0.412316i
\(135\) 0.625468 + 3.14444i 0.00463310 + 0.0232921i
\(136\) 64.1752 + 103.664i 0.471876 + 0.762236i
\(137\) 5.31134 26.7019i 0.0387689 0.194905i −0.956547 0.291577i \(-0.905820\pi\)
0.995316 + 0.0966726i \(0.0308200\pi\)
\(138\) 1.46880 + 69.4382i 0.0106435 + 0.503175i
\(139\) −3.02375 30.7006i −0.0217536 0.220868i −0.999915 0.0130220i \(-0.995855\pi\)
0.978162 0.207846i \(-0.0666452\pi\)
\(140\) −4.76136 8.06755i −0.0340097 0.0576254i
\(141\) −3.93899 12.9851i −0.0279361 0.0920929i
\(142\) 111.204 62.4988i 0.783129 0.440132i
\(143\) −51.7669 + 21.4425i −0.362006 + 0.149948i
\(144\) 111.802 + 61.7254i 0.776403 + 0.428649i
\(145\) 0.158421 0.382462i 0.00109256 0.00263767i
\(146\) −73.7767 + 8.84537i −0.505320 + 0.0605847i
\(147\) −51.2168 + 95.8198i −0.348413 + 0.651836i
\(148\) 215.860 + 103.893i 1.45852 + 0.701982i
\(149\) 166.599 + 136.725i 1.11812 + 0.917615i 0.997180 0.0750449i \(-0.0239100\pi\)
0.120937 + 0.992660i \(0.461410\pi\)
\(150\) 46.1280 20.2601i 0.307520 0.135067i
\(151\) −5.44391 + 3.63751i −0.0360524 + 0.0240894i −0.573466 0.819229i \(-0.694401\pi\)
0.537413 + 0.843319i \(0.319401\pi\)
\(152\) 14.9114 + 30.3906i 0.0981016 + 0.199938i
\(153\) 101.143 + 67.5819i 0.661068 + 0.441712i
\(154\) 75.4286 52.7407i 0.489796 0.342472i
\(155\) 0.914481 + 1.71087i 0.00589988 + 0.0110379i
\(156\) −61.4579 + 2.60116i −0.393961 + 0.0166741i
\(157\) 16.8862 171.448i 0.107555 1.09203i −0.778246 0.627960i \(-0.783890\pi\)
0.885801 0.464066i \(-0.153610\pi\)
\(158\) 124.400 + 145.208i 0.787343 + 0.919038i
\(159\) 31.0935 + 31.0935i 0.195557 + 0.195557i
\(160\) −1.69457 + 5.74244i −0.0105911 + 0.0358902i
\(161\) −304.610 304.610i −1.89199 1.89199i
\(162\) 108.769 + 8.39460i 0.671416 + 0.0518185i
\(163\) 23.4436 238.027i 0.143826 1.46029i −0.604313 0.796747i \(-0.706552\pi\)
0.748139 0.663542i \(-0.230948\pi\)
\(164\) −77.1629 + 211.126i −0.470506 + 1.28736i
\(165\) −0.327196 0.612142i −0.00198301 0.00370995i
\(166\) −248.305 43.9537i −1.49581 0.264781i
\(167\) −163.315 109.124i −0.977936 0.653436i −0.0396201 0.999215i \(-0.512615\pi\)
−0.938316 + 0.345779i \(0.887615\pi\)
\(168\) 97.6504 25.9560i 0.581252 0.154500i
\(169\) −52.6094 + 35.1525i −0.311298 + 0.208003i
\(170\) −2.07049 + 5.31377i −0.0121794 + 0.0312574i
\(171\) 26.1083 + 21.4266i 0.152680 + 0.125302i
\(172\) −130.111 7.27762i −0.756458 0.0423118i
\(173\) 115.663 216.391i 0.668574 1.25081i −0.287525 0.957773i \(-0.592833\pi\)
0.956100 0.293042i \(-0.0946674\pi\)
\(174\) 3.51072 + 2.75901i 0.0201765 + 0.0158564i
\(175\) −119.584 + 288.701i −0.683336 + 1.64972i
\(176\) −57.5330 12.2583i −0.326892 0.0696494i
\(177\) 94.4712 39.1313i 0.533736 0.221081i
\(178\) −24.2048 + 86.3239i −0.135982 + 0.484966i
\(179\) −14.0354 46.2687i −0.0784103 0.258484i 0.908967 0.416867i \(-0.136872\pi\)
−0.987378 + 0.158383i \(0.949372\pi\)
\(180\) 0.836385 + 5.91482i 0.00464659 + 0.0328601i
\(181\) 16.7722 + 170.291i 0.0926641 + 0.940835i 0.923316 + 0.384042i \(0.125468\pi\)
−0.830651 + 0.556793i \(0.812032\pi\)
\(182\) 264.018 275.428i 1.45065 1.51334i
\(183\) 14.6281 73.5403i 0.0799349 0.401860i
\(184\) −9.55916 + 275.161i −0.0519520 + 1.49544i
\(185\) 2.18610 + 10.9902i 0.0118167 + 0.0594068i
\(186\) −20.4312 + 4.51519i −0.109845 + 0.0242752i
\(187\) −53.6180 16.2648i −0.286727 0.0869778i
\(188\) −12.7157 52.2669i −0.0676369 0.278015i
\(189\) 165.798 136.067i 0.877236 0.719929i
\(190\) −0.716723 + 1.41193i −0.00377223 + 0.00743121i
\(191\) 2.11553 0.0110761 0.00553803 0.999985i \(-0.498237\pi\)
0.00553803 + 0.999985i \(0.498237\pi\)
\(192\) −54.7032 34.3210i −0.284912 0.178755i
\(193\) 5.67407i 0.0293993i 0.999892 + 0.0146997i \(0.00467921\pi\)
−0.999892 + 0.0146997i \(0.995321\pi\)
\(194\) 44.7167 88.0910i 0.230498 0.454077i
\(195\) −1.82533 2.22418i −0.00936069 0.0114060i
\(196\) −223.929 + 367.915i −1.14249 + 1.87712i
\(197\) 43.2311 142.514i 0.219447 0.723420i −0.776223 0.630459i \(-0.782867\pi\)
0.995670 0.0929611i \(-0.0296332\pi\)
\(198\) −57.3081 + 12.6648i −0.289435 + 0.0639637i
\(199\) 164.311 32.6835i 0.825685 0.164239i 0.235877 0.971783i \(-0.424204\pi\)
0.589807 + 0.807544i \(0.299204\pi\)
\(200\) 187.060 69.9771i 0.935298 0.349886i
\(201\) 50.8294 + 10.1106i 0.252883 + 0.0503015i
\(202\) 127.106 132.600i 0.629239 0.656434i
\(203\) −27.5613 + 2.71456i −0.135770 + 0.0133722i
\(204\) −49.1565 36.9768i −0.240963 0.181259i
\(205\) −10.0617 + 3.05218i −0.0490813 + 0.0148887i
\(206\) −85.2321 + 303.972i −0.413748 + 1.47559i
\(207\) 105.124 + 253.791i 0.507844 + 1.22604i
\(208\) −243.825 3.31059i −1.17224 0.0159163i
\(209\) −14.3729 5.95344i −0.0687697 0.0284853i
\(210\) 3.71602 + 2.92036i 0.0176953 + 0.0139065i
\(211\) −131.917 70.5111i −0.625199 0.334176i 0.128191 0.991749i \(-0.459083\pi\)
−0.753390 + 0.657574i \(0.771583\pi\)
\(212\) 116.184 + 129.951i 0.548038 + 0.612978i
\(213\) −40.8284 + 49.7496i −0.191683 + 0.233566i
\(214\) 99.7949 256.116i 0.466331 1.19681i
\(215\) −3.38648 5.06822i −0.0157511 0.0235731i
\(216\) −135.874 18.1648i −0.629045 0.0840965i
\(217\) 72.1026 107.909i 0.332270 0.497277i
\(218\) −265.491 46.9960i −1.21785 0.215578i
\(219\) 33.0617 17.6718i 0.150967 0.0806934i
\(220\) −1.15952 2.49529i −0.00527055 0.0113422i
\(221\) −231.149 22.7661i −1.04592 0.103014i
\(222\) −120.505 9.30031i −0.542814 0.0418933i
\(223\) 63.4345 63.4345i 0.284460 0.284460i −0.550425 0.834885i \(-0.685534\pi\)
0.834885 + 0.550425i \(0.185534\pi\)
\(224\) 392.245 81.1150i 1.75110 0.362121i
\(225\) 140.903 140.903i 0.626235 0.626235i
\(226\) −70.7724 82.6102i −0.313152 0.365532i
\(227\) −25.3446 2.49623i −0.111650 0.0109966i 0.0420377 0.999116i \(-0.486615\pi\)
−0.153688 + 0.988119i \(0.549115\pi\)
\(228\) −12.5764 11.5551i −0.0551597 0.0506802i
\(229\) −250.219 + 133.745i −1.09266 + 0.584038i −0.916383 0.400303i \(-0.868905\pi\)
−0.176276 + 0.984341i \(0.556405\pi\)
\(230\) −10.5544 + 7.37977i −0.0458886 + 0.0320859i
\(231\) −25.7979 + 38.6093i −0.111679 + 0.167140i
\(232\) 13.2846 + 11.6974i 0.0572610 + 0.0504197i
\(233\) 23.6295 + 35.3640i 0.101414 + 0.151777i 0.878706 0.477363i \(-0.158407\pi\)
−0.777292 + 0.629140i \(0.783407\pi\)
\(234\) −222.756 + 97.8375i −0.951947 + 0.418109i
\(235\) 1.59621 1.94498i 0.00679237 0.00827652i
\(236\) 382.579 133.966i 1.62110 0.567654i
\(237\) −85.0775 45.4749i −0.358977 0.191877i
\(238\) 378.809 45.4168i 1.59163 0.190827i
\(239\) −254.459 105.400i −1.06468 0.441006i −0.219572 0.975596i \(-0.570466\pi\)
−0.845111 + 0.534590i \(0.820466\pi\)
\(240\) −0.255238 3.00988i −0.00106349 0.0125411i
\(241\) 136.120 + 328.624i 0.564815 + 1.36358i 0.905876 + 0.423543i \(0.139214\pi\)
−0.341061 + 0.940041i \(0.610786\pi\)
\(242\) −187.398 + 105.321i −0.774372 + 0.435211i
\(243\) −200.247 + 60.7442i −0.824060 + 0.249976i
\(244\) 74.1786 287.833i 0.304011 1.17964i
\(245\) −20.0493 + 1.97468i −0.0818339 + 0.00805994i
\(246\) −2.39835 113.383i −0.00974939 0.460907i
\(247\) −63.2505 12.5813i −0.256075 0.0509364i
\(248\) −81.8660 + 13.3479i −0.330105 + 0.0538221i
\(249\) 124.778 24.8198i 0.501115 0.0996779i
\(250\) 15.7622 + 10.0564i 0.0630489 + 0.0402257i
\(251\) −51.6275 + 170.193i −0.205687 + 0.678060i 0.792027 + 0.610486i \(0.209026\pi\)
−0.997714 + 0.0675739i \(0.978474\pi\)
\(252\) 322.599 235.878i 1.28015 0.936025i
\(253\) −80.2702 97.8095i −0.317273 0.386599i
\(254\) 17.6667 + 54.0937i 0.0695541 + 0.212967i
\(255\) 2.87722i 0.0112832i
\(256\) −208.916 147.953i −0.816079 0.577940i
\(257\) −136.948 −0.532870 −0.266435 0.963853i \(-0.585846\pi\)
−0.266435 + 0.963853i \(0.585846\pi\)
\(258\) 62.4973 20.4113i 0.242237 0.0791135i
\(259\) 579.486 475.572i 2.23740 1.83618i
\(260\) −6.73225 9.20736i −0.0258933 0.0354129i
\(261\) 16.8999 + 5.12652i 0.0647505 + 0.0196419i
\(262\) −0.541937 + 0.849419i −0.00206846 + 0.00324206i
\(263\) −81.0656 407.544i −0.308234 1.54960i −0.755470 0.655183i \(-0.772592\pi\)
0.447236 0.894416i \(-0.352408\pi\)
\(264\) 29.2912 4.77580i 0.110952 0.0180901i
\(265\) −1.59071 + 7.99703i −0.00600267 + 0.0301775i
\(266\) 105.907 2.24021i 0.398147 0.00842185i
\(267\) −4.43348 45.0139i −0.0166048 0.168591i
\(268\) 198.944 + 51.2705i 0.742328 + 0.191308i
\(269\) −6.91271 22.7882i −0.0256978 0.0847144i 0.943154 0.332357i \(-0.107844\pi\)
−0.968851 + 0.247643i \(0.920344\pi\)
\(270\) −3.14155 5.58977i −0.0116354 0.0207028i
\(271\) 219.775 91.0336i 0.810977 0.335918i 0.0616330 0.998099i \(-0.480369\pi\)
0.749344 + 0.662181i \(0.230369\pi\)
\(272\) −186.375 157.236i −0.685201 0.578075i
\(273\) −73.6626 + 177.837i −0.269826 + 0.651419i
\(274\) 6.48181 + 54.0629i 0.0236562 + 0.197310i
\(275\) −43.2669 + 80.9466i −0.157334 + 0.294351i
\(276\) −45.9076 131.102i −0.166332 0.475008i
\(277\) 198.881 + 163.217i 0.717982 + 0.589233i 0.920824 0.389979i \(-0.127518\pi\)
−0.202842 + 0.979212i \(0.565018\pi\)
\(278\) 24.8111 + 56.4897i 0.0892486 + 0.203200i
\(279\) −68.8114 + 45.9783i −0.246636 + 0.164797i
\(280\) 14.0614 + 12.3814i 0.0502194 + 0.0442194i
\(281\) 405.955 + 271.251i 1.44468 + 0.965304i 0.997486 + 0.0708675i \(0.0225768\pi\)
0.447194 + 0.894437i \(0.352423\pi\)
\(282\) 15.5513 + 22.2412i 0.0551466 + 0.0788694i
\(283\) 179.652 + 336.105i 0.634812 + 1.18765i 0.969447 + 0.245302i \(0.0788871\pi\)
−0.334635 + 0.942348i \(0.608613\pi\)
\(284\) −172.612 + 187.869i −0.607790 + 0.661512i
\(285\) 0.0783028 0.795022i 0.000274747 0.00278955i
\(286\) 85.1039 72.9088i 0.297566 0.254926i
\(287\) 497.387 + 497.387i 1.73305 + 1.73305i
\(288\) −250.881 47.9313i −0.871116 0.166428i
\(289\) 40.1205 + 40.1205i 0.138825 + 0.138825i
\(290\) −0.0637099 + 0.825493i −0.000219689 + 0.00284653i
\(291\) −4.88535 + 49.6018i −0.0167881 + 0.170453i
\(292\) 134.770 62.6256i 0.461541 0.214471i
\(293\) −155.056 290.090i −0.529202 0.990067i −0.994482 0.104904i \(-0.966547\pi\)
0.465281 0.885163i \(-0.345953\pi\)
\(294\) 37.8761 213.971i 0.128830 0.727794i
\(295\) 15.7652 + 10.5340i 0.0534415 + 0.0357085i
\(296\) −474.897 63.4886i −1.60438 0.214488i
\(297\) 52.3813 35.0000i 0.176368 0.117845i
\(298\) −401.629 156.494i −1.34775 0.525146i
\(299\) −405.455 332.748i −1.35604 1.11287i
\(300\) −75.1177 + 67.1595i −0.250392 + 0.223865i
\(301\) −192.229 + 359.636i −0.638635 + 1.19480i
\(302\) 8.09125 10.2957i 0.0267922 0.0340918i
\(303\) −35.4634 + 85.6163i −0.117041 + 0.282562i
\(304\) −47.2192 48.5191i −0.155326 0.159602i
\(305\) 12.8451 5.32061i 0.0421150 0.0174446i
\(306\) −234.254 65.6836i −0.765536 0.214652i
\(307\) 8.75738 + 28.8692i 0.0285257 + 0.0940365i 0.970047 0.242916i \(-0.0781039\pi\)
−0.941522 + 0.336952i \(0.890604\pi\)
\(308\) −110.655 + 147.104i −0.359271 + 0.477610i
\(309\) −15.6116 158.507i −0.0505229 0.512968i
\(310\) −2.80090 2.68486i −0.00903515 0.00866083i
\(311\) −112.679 + 566.474i −0.362311 + 1.82146i 0.182865 + 0.983138i \(0.441463\pi\)
−0.545176 + 0.838322i \(0.683537\pi\)
\(312\) 115.227 43.1053i 0.369318 0.138158i
\(313\) −51.1265 257.030i −0.163343 0.821183i −0.972376 0.233419i \(-0.925009\pi\)
0.809033 0.587763i \(-0.199991\pi\)
\(314\) 74.3510 + 336.438i 0.236787 + 1.07146i
\(315\) 17.8882 + 5.42632i 0.0567879 + 0.0172264i
\(316\) −326.668 198.824i −1.03376 0.629190i
\(317\) −279.950 + 229.749i −0.883123 + 0.724760i −0.962268 0.272103i \(-0.912281\pi\)
0.0791454 + 0.996863i \(0.474781\pi\)
\(318\) −78.4206 39.8078i −0.246606 0.125182i
\(319\) −8.13454 −0.0255001
\(320\) −0.343885 11.9696i −0.00107464 0.0374049i
\(321\) 138.678i 0.432019i
\(322\) 768.253 + 389.980i 2.38588 + 1.21112i
\(323\) −40.9108 49.8499i −0.126659 0.154334i
\(324\) −212.002 + 51.5768i −0.654327 + 0.159188i
\(325\) −110.447 + 364.096i −0.339838 + 1.12029i
\(326\) 103.224 + 467.087i 0.316638 + 1.43278i
\(327\) 133.414 26.5377i 0.407994 0.0811550i
\(328\) 15.6088 449.300i 0.0475878 1.36982i
\(329\) −165.093 32.8390i −0.501802 0.0998146i
\(330\) 1.00214 + 0.960627i 0.00303680 + 0.00291099i
\(331\) −68.8846 + 6.78454i −0.208111 + 0.0204971i −0.201535 0.979481i \(-0.564593\pi\)
−0.00657541 + 0.999978i \(0.502093\pi\)
\(332\) 499.363 70.6124i 1.50411 0.212688i
\(333\) −457.451 + 138.766i −1.37373 + 0.416715i
\(334\) 378.248 + 106.059i 1.13248 + 0.317541i
\(335\) 3.67748 + 8.87823i 0.0109776 + 0.0265022i
\(336\) −169.534 + 109.979i −0.504566 + 0.327320i
\(337\) −134.964 55.9038i −0.400486 0.165887i 0.173344 0.984861i \(-0.444543\pi\)
−0.573830 + 0.818975i \(0.694543\pi\)
\(338\) 78.1930 99.4969i 0.231340 0.294369i
\(339\) 48.4014 + 25.8711i 0.142777 + 0.0763159i
\(340\) 0.636977 11.3880i 0.00187346 0.0334941i
\(341\) 24.1828 29.4669i 0.0709174 0.0864131i
\(342\) −62.9406 24.5246i −0.184037 0.0717094i
\(343\) 408.037 + 610.670i 1.18961 + 1.78038i
\(344\) 251.882 66.9516i 0.732216 0.194627i
\(345\) 3.60979 5.40243i 0.0104632 0.0156592i
\(346\) −85.5361 + 483.214i −0.247214 + 1.39657i
\(347\) 158.866 84.9158i 0.457828 0.244714i −0.226326 0.974052i \(-0.572672\pi\)
0.684154 + 0.729337i \(0.260172\pi\)
\(348\) −8.38759 3.06551i −0.0241023 0.00880895i
\(349\) 658.144 + 64.8215i 1.88580 + 0.185735i 0.974252 0.225461i \(-0.0723887\pi\)
0.911547 + 0.411196i \(0.134889\pi\)
\(350\) 48.0913 623.122i 0.137404 1.78035i
\(351\) 184.661 184.661i 0.526101 0.526101i
\(352\) 116.992 12.4179i 0.332362 0.0352781i
\(353\) −47.8607 + 47.8607i −0.135583 + 0.135583i −0.771641 0.636058i \(-0.780564\pi\)
0.636058 + 0.771641i \(0.280564\pi\)
\(354\) −155.309 + 133.054i −0.438726 + 0.375858i
\(355\) −11.8762 1.16971i −0.0334541 0.00329494i
\(356\) −7.58221 179.146i −0.0212983 0.503219i
\(357\) −169.756 + 90.7367i −0.475508 + 0.254164i
\(358\) 55.4127 + 79.2500i 0.154784 + 0.221369i
\(359\) −256.281 + 383.552i −0.713875 + 1.06839i 0.280226 + 0.959934i \(0.409590\pi\)
−0.994101 + 0.108455i \(0.965410\pi\)
\(360\) −5.26271 10.7258i −0.0146186 0.0297938i
\(361\) 190.613 + 285.273i 0.528014 + 0.790229i
\(362\) −137.623 313.339i −0.380174 0.865577i
\(363\) 68.8028 83.8365i 0.189539 0.230954i
\(364\) −330.926 + 687.570i −0.909138 + 1.88893i
\(365\) 6.13049 + 3.27682i 0.0167959 + 0.00897758i
\(366\) 17.8517 + 148.896i 0.0487751 + 0.406819i
\(367\) −565.788 234.357i −1.54166 0.638575i −0.559873 0.828578i \(-0.689150\pi\)
−0.981784 + 0.190003i \(0.939150\pi\)
\(368\) −152.677 529.064i −0.414884 1.43767i
\(369\) −171.653 414.407i −0.465184 1.12305i
\(370\) −10.9802 19.5370i −0.0296761 0.0528027i
\(371\) 521.991 158.344i 1.40699 0.426804i
\(372\) 36.0397 21.2702i 0.0968810 0.0571779i
\(373\) −571.109 + 56.2493i −1.53112 + 0.150802i −0.828187 0.560451i \(-0.810628\pi\)
−0.702935 + 0.711254i \(0.748128\pi\)
\(374\) 112.036 2.36986i 0.299562 0.00633653i
\(375\) −9.25176 1.84029i −0.0246714 0.00490744i
\(376\) 56.6281 + 91.4731i 0.150607 + 0.243280i
\(377\) −33.0726 + 6.57856i −0.0877258 + 0.0174497i
\(378\) −230.725 + 361.633i −0.610383 + 0.956700i
\(379\) 174.074 573.846i 0.459299 1.51410i −0.355677 0.934609i \(-0.615750\pi\)
0.814975 0.579496i \(-0.196750\pi\)
\(380\) 0.485928 3.12935i 0.00127876 0.00823513i
\(381\) −18.2134 22.1931i −0.0478042 0.0582495i
\(382\) −4.02199 + 1.31356i −0.0105288 + 0.00343864i
\(383\) 183.117i 0.478113i 0.971006 + 0.239056i \(0.0768381\pi\)
−0.971006 + 0.239056i \(0.923162\pi\)
\(384\) 125.311 + 31.2843i 0.326330 + 0.0814695i
\(385\) −8.61025 −0.0223643
\(386\) −3.52311 10.7874i −0.00912722 0.0279466i
\(387\) 201.011 164.966i 0.519409 0.426268i
\(388\) −30.3173 + 195.242i −0.0781373 + 0.503200i
\(389\) −201.855 61.2321i −0.518908 0.157409i 0.0199576 0.999801i \(-0.493647\pi\)
−0.538865 + 0.842392i \(0.681147\pi\)
\(390\) 4.85130 + 3.09517i 0.0124392 + 0.00793634i
\(391\) −102.325 514.423i −0.261701 1.31566i
\(392\) 197.284 838.511i 0.503275 2.13906i
\(393\) 0.0991723 0.498573i 0.000252347 0.00126863i
\(394\) 6.29896 + 297.786i 0.0159872 + 0.755803i
\(395\) −1.75330 17.8016i −0.00443874 0.0450673i
\(396\) 101.089 59.6614i 0.255275 0.150660i
\(397\) 153.114 + 504.748i 0.385677 + 1.27141i 0.908112 + 0.418727i \(0.137524\pi\)
−0.522436 + 0.852679i \(0.674976\pi\)
\(398\) −292.091 + 164.160i −0.733896 + 0.412463i
\(399\) −49.3758 + 20.4521i −0.123749 + 0.0512585i
\(400\) −312.183 + 249.187i −0.780458 + 0.622967i
\(401\) −276.911 + 668.521i −0.690550 + 1.66714i 0.0531191 + 0.998588i \(0.483084\pi\)
−0.743669 + 0.668548i \(0.766916\pi\)
\(402\) −102.913 + 12.3387i −0.256003 + 0.0306932i
\(403\) 74.4898 139.361i 0.184838 0.345808i
\(404\) −159.318 + 331.017i −0.394352 + 0.819350i
\(405\) −7.88913 6.47444i −0.0194793 0.0159863i
\(406\) 50.7134 22.2741i 0.124910 0.0548622i
\(407\) 183.080 122.330i 0.449827 0.300565i
\(408\) 116.415 + 39.7774i 0.285330 + 0.0974937i
\(409\) 444.176 + 296.789i 1.08600 + 0.725645i 0.963737 0.266853i \(-0.0859837\pi\)
0.122266 + 0.992497i \(0.460984\pi\)
\(410\) 17.2339 12.0502i 0.0420338 0.0293906i
\(411\) −12.9498 24.2273i −0.0315080 0.0589473i
\(412\) −26.6992 630.825i −0.0648038 1.53113i
\(413\) 124.331 1262.36i 0.301044 3.05655i
\(414\) −357.441 417.229i −0.863385 1.00780i
\(415\) 16.6808 + 16.6808i 0.0401948 + 0.0401948i
\(416\) 465.610 145.101i 1.11926 0.348800i
\(417\) −22.0108 22.0108i −0.0527836 0.0527836i
\(418\) 31.0219 + 2.39421i 0.0742151 + 0.00572777i
\(419\) −12.6258 + 128.192i −0.0301331 + 0.305947i 0.968291 + 0.249826i \(0.0803733\pi\)
−0.998424 + 0.0561210i \(0.982127\pi\)
\(420\) −8.87810 3.24479i −0.0211383 0.00772568i
\(421\) −14.6415 27.3924i −0.0347780 0.0650651i 0.863932 0.503608i \(-0.167995\pi\)
−0.898710 + 0.438543i \(0.855495\pi\)
\(422\) 294.578 + 52.1448i 0.698053 + 0.123566i
\(423\) 89.2489 + 59.6342i 0.210990 + 0.140979i
\(424\) −301.575 174.920i −0.711261 0.412547i
\(425\) −316.349 + 211.377i −0.744350 + 0.497359i
\(426\) 46.7318 119.934i 0.109699 0.281534i
\(427\) −719.003 590.071i −1.68385 1.38190i
\(428\) −30.7014 + 548.886i −0.0717323 + 1.28244i
\(429\) −26.6520 + 49.8625i −0.0621260 + 0.116229i
\(430\) 9.58521 + 7.53286i 0.0222912 + 0.0175183i
\(431\) 104.739 252.862i 0.243014 0.586688i −0.754565 0.656225i \(-0.772152\pi\)
0.997579 + 0.0695373i \(0.0221523\pi\)
\(432\) 269.598 49.8313i 0.624070 0.115350i
\(433\) 707.681 293.131i 1.63437 0.676977i 0.638656 0.769493i \(-0.279491\pi\)
0.995711 + 0.0925159i \(0.0294909\pi\)
\(434\) −70.0773 + 249.924i −0.161469 + 0.575861i
\(435\) −0.121256 0.399728i −0.000278750 0.000918916i
\(436\) 533.926 75.4999i 1.22460 0.173165i
\(437\) −14.2742 144.928i −0.0326640 0.331643i
\(438\) −51.8834 + 54.1257i −0.118455 + 0.123575i
\(439\) 61.0221 306.779i 0.139003 0.698813i −0.846935 0.531697i \(-0.821555\pi\)
0.985937 0.167116i \(-0.0534454\pi\)
\(440\) 3.75381 + 4.02401i 0.00853138 + 0.00914548i
\(441\) −167.671 842.938i −0.380206 1.91142i
\(442\) 453.590 100.241i 1.02622 0.226789i
\(443\) 763.237 + 231.525i 1.72288 + 0.522631i 0.987851 0.155403i \(-0.0496677\pi\)
0.735031 + 0.678034i \(0.237168\pi\)
\(444\) 234.875 57.1415i 0.528998 0.128697i
\(445\) 6.48333 5.32073i 0.0145693 0.0119567i
\(446\) −81.2127 + 159.987i −0.182091 + 0.358716i
\(447\) 217.468 0.486506
\(448\) −695.362 + 397.765i −1.55215 + 0.887867i
\(449\) 462.217i 1.02944i −0.857359 0.514718i \(-0.827896\pi\)
0.857359 0.514718i \(-0.172104\pi\)
\(450\) −180.392 + 355.369i −0.400872 + 0.789710i
\(451\) 131.070 + 159.710i 0.290621 + 0.354123i
\(452\) 185.845 + 113.113i 0.411161 + 0.250250i
\(453\) −1.91777 + 6.32203i −0.00423348 + 0.0139559i
\(454\) 49.7345 10.9911i 0.109547 0.0242094i
\(455\) −35.0067 + 6.96327i −0.0769379 + 0.0153039i
\(456\) 31.0847 + 14.1593i 0.0681682 + 0.0310512i
\(457\) −275.239 54.7484i −0.602273 0.119800i −0.115470 0.993311i \(-0.536837\pi\)
−0.486804 + 0.873511i \(0.661837\pi\)
\(458\) 392.666 409.637i 0.857349 0.894403i
\(459\) 259.887 25.5966i 0.566202 0.0557660i
\(460\) 15.4835 20.5836i 0.0336598 0.0447469i
\(461\) −584.436 + 177.287i −1.26776 + 0.384570i −0.851345 0.524606i \(-0.824213\pi\)
−0.416413 + 0.909176i \(0.636713\pi\)
\(462\) 25.0733 89.4214i 0.0542712 0.193553i
\(463\) −72.8050 175.767i −0.157246 0.379626i 0.825547 0.564333i \(-0.190867\pi\)
−0.982794 + 0.184707i \(0.940867\pi\)
\(464\) −32.5193 13.9902i −0.0700848 0.0301512i
\(465\) 1.80847 + 0.749092i 0.00388918 + 0.00161095i
\(466\) −66.8818 52.5613i −0.143523 0.112792i
\(467\) −156.436 83.6169i −0.334981 0.179051i 0.295327 0.955396i \(-0.404571\pi\)
−0.630308 + 0.776345i \(0.717071\pi\)
\(468\) 362.749 324.318i 0.775104 0.692988i
\(469\) 407.843 496.959i 0.869602 1.05961i
\(470\) −1.82700 + 4.68886i −0.00388723 + 0.00997630i
\(471\) −96.5773 144.538i −0.205047 0.306875i
\(472\) −644.168 + 492.242i −1.36476 + 1.04289i
\(473\) −66.5439 + 99.5900i −0.140685 + 0.210550i
\(474\) 189.983 + 33.6299i 0.400808 + 0.0709491i
\(475\) −93.1648 + 49.7976i −0.196136 + 0.104837i
\(476\) −691.982 + 321.553i −1.45374 + 0.675532i
\(477\) −346.166 34.0944i −0.725715 0.0714767i
\(478\) 549.216 + 42.3874i 1.14899 + 0.0886766i
\(479\) −168.895 + 168.895i −0.352599 + 0.352599i −0.861076 0.508476i \(-0.830209\pi\)
0.508476 + 0.861076i \(0.330209\pi\)
\(480\) 2.35413 + 5.56382i 0.00490443 + 0.0115913i
\(481\) 645.417 645.417i 1.34182 1.34182i
\(482\) −462.836 540.252i −0.960241 1.12086i
\(483\) −432.584 42.6058i −0.895618 0.0882107i
\(484\) 290.881 316.592i 0.600994 0.654115i
\(485\) −8.15067 + 4.35662i −0.0168055 + 0.00898273i
\(486\) 342.987 239.821i 0.705735 0.493459i
\(487\) −58.1228 + 86.9870i −0.119349 + 0.178618i −0.886334 0.463047i \(-0.846756\pi\)
0.766985 + 0.641665i \(0.221756\pi\)
\(488\) 37.6933 + 593.280i 0.0772403 + 1.21574i
\(489\) −134.081 200.667i −0.274195 0.410362i
\(490\) 36.8911 16.2031i 0.0752880 0.0330676i
\(491\) 100.977 123.041i 0.205656 0.250593i −0.659960 0.751301i \(-0.729427\pi\)
0.865616 + 0.500708i \(0.166927\pi\)
\(492\) 74.9608 + 214.072i 0.152359 + 0.435105i
\(493\) −29.7381 15.8954i −0.0603208 0.0322421i
\(494\) 128.062 15.3539i 0.259235 0.0310807i
\(495\) 5.07263 + 2.10115i 0.0102477 + 0.00424475i
\(496\) 147.354 76.2084i 0.297084 0.153646i
\(497\) 305.519 + 737.587i 0.614726 + 1.48408i
\(498\) −221.813 + 124.663i −0.445408 + 0.250327i
\(499\) −924.845 + 280.549i −1.85340 + 0.562222i −0.854297 + 0.519785i \(0.826012\pi\)
−0.999099 + 0.0424371i \(0.986488\pi\)
\(500\) −36.2109 9.33206i −0.0724219 0.0186641i
\(501\) −197.238 + 19.4263i −0.393689 + 0.0387750i
\(502\) −7.52236 355.623i −0.0149848 0.708412i
\(503\) 289.663 + 57.6176i 0.575871 + 0.114548i 0.474429 0.880294i \(-0.342654\pi\)
0.101442 + 0.994841i \(0.467654\pi\)
\(504\) −466.857 + 648.752i −0.926304 + 1.28721i
\(505\) −16.8533 + 3.35233i −0.0333729 + 0.00663828i
\(506\) 213.339 + 136.112i 0.421618 + 0.268996i
\(507\) −18.5331 + 61.0954i −0.0365544 + 0.120504i
\(508\) −67.1751 91.8721i −0.132234 0.180851i
\(509\) 74.8281 + 91.1783i 0.147010 + 0.179132i 0.841309 0.540554i \(-0.181785\pi\)
−0.694299 + 0.719687i \(0.744285\pi\)
\(510\) 1.78651 + 5.47009i 0.00350295 + 0.0107257i
\(511\) 465.039i 0.910056i
\(512\) 489.052 + 151.565i 0.955180 + 0.296025i
\(513\) 72.5075 0.141340
\(514\) 260.361 85.0327i 0.506540 0.165433i
\(515\) 22.8297 18.7359i 0.0443295 0.0363803i
\(516\) −106.145 + 77.6109i −0.205707 + 0.150409i
\(517\) −47.3125 14.3521i −0.0915135 0.0277603i
\(518\) −806.414 + 1263.96i −1.55678 + 2.44007i
\(519\) −48.3006 242.823i −0.0930647 0.467868i
\(520\) 18.5162 + 13.3247i 0.0356080 + 0.0256243i
\(521\) 9.89649 49.7530i 0.0189952 0.0954952i −0.970125 0.242607i \(-0.921998\pi\)
0.989120 + 0.147111i \(0.0469976\pi\)
\(522\) −35.3128 + 0.746958i −0.0676490 + 0.00143095i
\(523\) 57.0683 + 579.424i 0.109117 + 1.10788i 0.881324 + 0.472513i \(0.156653\pi\)
−0.772206 + 0.635372i \(0.780847\pi\)
\(524\) 0.502900 1.95139i 0.000959733 0.00372403i
\(525\) 91.5301 + 301.734i 0.174343 + 0.574732i
\(526\) 407.170 + 724.478i 0.774088 + 1.37734i
\(527\) 145.987 60.4698i 0.277015 0.114744i
\(528\) −52.7224 + 27.2670i −0.0998530 + 0.0516420i
\(529\) 250.829 605.556i 0.474158 1.14472i
\(530\) −1.94125 16.1914i −0.00366274 0.0305499i
\(531\) −381.300 + 713.362i −0.718079 + 1.34343i
\(532\) −199.957 + 70.0182i −0.375858 + 0.131613i
\(533\) 662.053 + 543.333i 1.24213 + 1.01939i
\(534\) 36.3786 + 82.8265i 0.0681247 + 0.155106i
\(535\) −21.3808 + 14.2862i −0.0399641 + 0.0267032i
\(536\) −410.062 + 26.0527i −0.765040 + 0.0486058i
\(537\) −40.5654 27.1049i −0.0755408 0.0504747i
\(538\) 27.2918 + 39.0321i 0.0507282 + 0.0725503i
\(539\) 186.613 + 349.129i 0.346221 + 0.647734i
\(540\) 9.44340 + 8.67649i 0.0174878 + 0.0160676i
\(541\) −19.9483 + 202.539i −0.0368731 + 0.374378i 0.958985 + 0.283457i \(0.0914813\pi\)
−0.995858 + 0.0909216i \(0.971019\pi\)
\(542\) −361.306 + 309.532i −0.666616 + 0.571092i
\(543\) 122.090 + 122.090i 0.224844 + 0.224844i
\(544\) 451.961 + 183.211i 0.830811 + 0.336785i
\(545\) 17.8354 + 17.8354i 0.0327255 + 0.0327255i
\(546\) 29.6238 383.838i 0.0542561 0.703000i
\(547\) −32.6071 + 331.066i −0.0596109 + 0.605239i 0.918253 + 0.395995i \(0.129600\pi\)
−0.977863 + 0.209244i \(0.932900\pi\)
\(548\) −45.8915 98.7584i −0.0837436 0.180216i
\(549\) 279.598 + 523.091i 0.509286 + 0.952807i
\(550\) 31.9970 180.759i 0.0581763 0.328652i
\(551\) −7.78454 5.20146i −0.0141280 0.00944004i
\(552\) 168.681 + 220.743i 0.305582 + 0.399897i
\(553\) −995.004 + 664.841i −1.79928 + 1.20224i
\(554\) −479.452 186.817i −0.865436 0.337215i
\(555\) 8.74030 + 7.17298i 0.0157483 + 0.0129243i
\(556\) −82.2455 91.9913i −0.147924 0.165452i
\(557\) 215.208 402.626i 0.386370 0.722847i −0.611276 0.791417i \(-0.709344\pi\)
0.997646 + 0.0685699i \(0.0218436\pi\)
\(558\) 102.274 130.139i 0.183287 0.233224i
\(559\) −190.007 + 458.718i −0.339906 + 0.820606i
\(560\) −34.4211 14.8083i −0.0614662 0.0264434i
\(561\) −52.2334 + 21.6358i −0.0931077 + 0.0385665i
\(562\) −940.215 263.631i −1.67298 0.469095i
\(563\) −150.349 495.635i −0.267050 0.880347i −0.983221 0.182421i \(-0.941607\pi\)
0.716170 0.697926i \(-0.245893\pi\)
\(564\) −43.3757 32.6283i −0.0769072 0.0578516i
\(565\) 0.997471 + 10.1275i 0.00176544 + 0.0179248i
\(566\) −550.242 527.446i −0.972159 0.931883i
\(567\) −133.200 + 669.640i −0.234920 + 1.18102i
\(568\) 211.515 464.350i 0.372386 0.817518i
\(569\) −22.2019 111.617i −0.0390192 0.196163i 0.956359 0.292194i \(-0.0943852\pi\)
−0.995378 + 0.0960309i \(0.969385\pi\)
\(570\) 0.344773 + 1.56009i 0.000604865 + 0.00273701i
\(571\) −289.448 87.8030i −0.506914 0.153771i 0.0264606 0.999650i \(-0.491576\pi\)
−0.533374 + 0.845879i \(0.679076\pi\)
\(572\) −116.527 + 191.455i −0.203719 + 0.334711i
\(573\) 1.65010 1.35420i 0.00287976 0.00236336i
\(574\) −1254.45 636.785i −2.18546 1.10938i
\(575\) −859.191 −1.49424
\(576\) 506.731 64.6499i 0.879741 0.112239i
\(577\) 764.316i 1.32464i 0.749222 + 0.662319i \(0.230427\pi\)
−0.749222 + 0.662319i \(0.769573\pi\)
\(578\) −101.187 51.3646i −0.175065 0.0888662i
\(579\) 3.63212 + 4.42575i 0.00627309 + 0.00764379i
\(580\) −0.391437 1.60897i −0.000674891 0.00277408i
\(581\) 458.121 1510.22i 0.788505 2.59935i
\(582\) −21.5105 97.3350i −0.0369597 0.167242i
\(583\) 157.141 31.2572i 0.269538 0.0536145i
\(584\) −217.336 + 202.743i −0.372151 + 0.347162i
\(585\) 22.3231 + 4.44033i 0.0381591 + 0.00759031i
\(586\) 474.909 + 455.234i 0.810426 + 0.776851i
\(587\) 410.569 40.4375i 0.699437 0.0688885i 0.257953 0.966158i \(-0.416952\pi\)
0.441484 + 0.897269i \(0.354452\pi\)
\(588\) 60.8487 + 430.315i 0.103484 + 0.731828i
\(589\) 41.9843 12.7358i 0.0712806 0.0216227i
\(590\) −36.5132 10.2381i −0.0618868 0.0173527i
\(591\) −57.5067 138.834i −0.0973041 0.234913i
\(592\) 942.283 174.167i 1.59169 0.294202i
\(593\) 887.889 + 367.775i 1.49728 + 0.620195i 0.972887 0.231280i \(-0.0742914\pi\)
0.524395 + 0.851475i \(0.324291\pi\)
\(594\) −77.8539 + 99.0654i −0.131067 + 0.166777i
\(595\) −31.4772 16.8249i −0.0529029 0.0282772i
\(596\) 860.736 + 48.1444i 1.44419 + 0.0807793i
\(597\) 107.241 130.673i 0.179632 0.218883i
\(598\) 977.449 + 380.860i 1.63453 + 0.636890i
\(599\) 237.979 + 356.161i 0.397294 + 0.594593i 0.975150 0.221546i \(-0.0711104\pi\)
−0.577856 + 0.816139i \(0.696110\pi\)
\(600\) 101.112 174.324i 0.168519 0.290539i
\(601\) −133.832 + 200.294i −0.222683 + 0.333269i −0.925942 0.377665i \(-0.876727\pi\)
0.703259 + 0.710933i \(0.251727\pi\)
\(602\) 142.159 803.088i 0.236144 1.33403i
\(603\) −361.549 + 193.252i −0.599583 + 0.320484i
\(604\) −8.99011 + 24.5980i −0.0148843 + 0.0407251i
\(605\) 20.0134 + 1.97115i 0.0330800 + 0.00325810i
\(606\) 14.2618 184.791i 0.0235344 0.304936i
\(607\) 136.312 136.312i 0.224566 0.224566i −0.585852 0.810418i \(-0.699240\pi\)
0.810418 + 0.585852i \(0.199240\pi\)
\(608\) 119.898 + 62.9242i 0.197201 + 0.103494i
\(609\) −19.7601 + 19.7601i −0.0324468 + 0.0324468i
\(610\) −21.1171 + 18.0911i −0.0346182 + 0.0296576i
\(611\) −203.965 20.0888i −0.333822 0.0328786i
\(612\) 486.142 20.5756i 0.794349 0.0336202i
\(613\) −305.695 + 163.397i −0.498687 + 0.266554i −0.701507 0.712662i \(-0.747489\pi\)
0.202821 + 0.979216i \(0.434989\pi\)
\(614\) −34.5746 49.4478i −0.0563104 0.0805339i
\(615\) −5.89429 + 8.82143i −0.00958421 + 0.0143438i
\(616\) 119.036 348.378i 0.193241 0.565548i
\(617\) −376.255 563.105i −0.609814 0.912651i 0.390154 0.920750i \(-0.372422\pi\)
−0.999967 + 0.00809923i \(0.997422\pi\)
\(618\) 128.100 + 291.656i 0.207281 + 0.471935i
\(619\) 327.054 398.516i 0.528358 0.643806i −0.438618 0.898674i \(-0.644532\pi\)
0.966976 + 0.254868i \(0.0820319\pi\)
\(620\) 6.99206 + 3.36527i 0.0112775 + 0.00542785i
\(621\) 520.092 + 277.995i 0.837507 + 0.447657i
\(622\) −137.510 1146.93i −0.221077 1.84394i
\(623\) −518.385 214.722i −0.832078 0.344658i
\(624\) −192.302 + 153.497i −0.308177 + 0.245989i
\(625\) 238.173 + 575.000i 0.381077 + 0.920000i
\(626\) 256.794 + 456.914i 0.410214 + 0.729895i
\(627\) −15.0217 + 4.55679i −0.0239581 + 0.00726762i
\(628\) −350.253 593.461i −0.557728 0.945002i
\(629\) 908.340 89.4636i 1.44410 0.142232i
\(630\) −37.3779 + 0.790640i −0.0593299 + 0.00125498i
\(631\) −744.582 148.107i −1.18000 0.234717i −0.434158 0.900837i \(-0.642954\pi\)
−0.745845 + 0.666119i \(0.767954\pi\)
\(632\) 744.506 + 175.166i 1.17802 + 0.277162i
\(633\) −148.031 + 29.4451i −0.233856 + 0.0465168i
\(634\) 389.579 610.618i 0.614479 0.963120i
\(635\) 1.54535 5.09433i 0.00243362 0.00802257i
\(636\) 173.808 + 26.9891i 0.273284 + 0.0424357i
\(637\) 1041.06 + 1268.54i 1.63432 + 1.99142i
\(638\) 15.4652 5.05085i 0.0242401 0.00791670i
\(639\) 509.097i 0.796708i
\(640\) 8.08585 + 22.5427i 0.0126341 + 0.0352230i
\(641\) −671.813 −1.04807 −0.524035 0.851697i \(-0.675574\pi\)
−0.524035 + 0.851697i \(0.675574\pi\)
\(642\) −86.1071 263.651i −0.134123 0.410672i
\(643\) 54.2415 44.5148i 0.0843569 0.0692299i −0.591270 0.806474i \(-0.701373\pi\)
0.675627 + 0.737244i \(0.263873\pi\)
\(644\) −1702.73 264.401i −2.64399 0.410561i
\(645\) −5.88574 1.78542i −0.00912518 0.00276809i
\(646\) 108.731 + 69.3713i 0.168314 + 0.107386i
\(647\) 31.8136 + 159.938i 0.0491710 + 0.247199i 0.997552 0.0699353i \(-0.0222793\pi\)
−0.948381 + 0.317135i \(0.897279\pi\)
\(648\) 371.028 229.692i 0.572574 0.354462i
\(649\) 72.6859 365.417i 0.111997 0.563046i
\(650\) −16.0927 760.788i −0.0247579 1.17044i
\(651\) −12.8358 130.324i −0.0197170 0.200190i
\(652\) −486.268 823.922i −0.745810 1.26368i
\(653\) −28.1186 92.6945i −0.0430606 0.141952i 0.932774 0.360461i \(-0.117381\pi\)
−0.975835 + 0.218509i \(0.929881\pi\)
\(654\) −237.166 + 133.291i −0.362639 + 0.203810i
\(655\) 0.0870844 0.0360715i 0.000132953 5.50710e-5i
\(656\) 249.301 + 863.889i 0.380033 + 1.31690i
\(657\) −113.483 + 273.972i −0.172729 + 0.417005i
\(658\) 334.260 40.0758i 0.507995 0.0609054i
\(659\) −557.165 + 1042.38i −0.845471 + 1.58176i −0.0324909 + 0.999472i \(0.510344\pi\)
−0.812980 + 0.582292i \(0.802156\pi\)
\(660\) −2.50172 1.20407i −0.00379048 0.00182435i
\(661\) 380.705 + 312.437i 0.575954 + 0.472673i 0.876704 0.481030i \(-0.159737\pi\)
−0.300750 + 0.953703i \(0.597237\pi\)
\(662\) 126.749 55.6700i 0.191464 0.0840937i
\(663\) −194.868 + 130.207i −0.293919 + 0.196390i
\(664\) −905.532 + 444.308i −1.36375 + 0.669139i
\(665\) −8.23978 5.50564i −0.0123906 0.00827916i
\(666\) 783.532 547.856i 1.17647 0.822607i
\(667\) −35.8955 67.1558i −0.0538164 0.100683i
\(668\) −784.968 + 33.2231i −1.17510 + 0.0497352i
\(669\) 8.87257 90.0848i 0.0132624 0.134656i
\(670\) −12.5042 14.5957i −0.0186629 0.0217846i
\(671\) −193.182 193.182i −0.287902 0.287902i
\(672\) 254.026 314.356i 0.378015 0.467792i
\(673\) −937.826 937.826i −1.39350 1.39350i −0.817329 0.576171i \(-0.804546\pi\)
−0.576171 0.817329i \(-0.695454\pi\)
\(674\) 291.301 + 22.4820i 0.432198 + 0.0333561i
\(675\) 41.9301 425.723i 0.0621186 0.630701i
\(676\) −86.8795 + 237.712i −0.128520 + 0.351645i
\(677\) −69.3070 129.664i −0.102374 0.191528i 0.825520 0.564373i \(-0.190882\pi\)
−0.927893 + 0.372845i \(0.878382\pi\)
\(678\) −108.083 19.1323i −0.159415 0.0282188i
\(679\) 514.083 + 343.500i 0.757118 + 0.505890i
\(680\) 5.85996 + 22.0461i 0.00861759 + 0.0324207i
\(681\) −21.3666 + 14.2767i −0.0313753 + 0.0209643i
\(682\) −27.6794 + 71.0371i −0.0405856 + 0.104160i
\(683\) 437.107 + 358.725i 0.639981 + 0.525219i 0.897478 0.441060i \(-0.145397\pi\)
−0.257496 + 0.966279i \(0.582897\pi\)
\(684\) 134.889 + 7.54487i 0.197206 + 0.0110305i
\(685\) 2.40122 4.49237i 0.00350544 0.00655821i
\(686\) −1154.92 907.635i −1.68356 1.32308i
\(687\) −109.556 + 264.492i −0.159471 + 0.384996i
\(688\) −437.301 + 283.684i −0.635612 + 0.412331i
\(689\) 613.609 254.165i 0.890580 0.368890i
\(690\) −3.50839 + 12.5123i −0.00508463 + 0.0181338i
\(691\) 165.930 + 546.997i 0.240130 + 0.791602i 0.991315 + 0.131510i \(0.0419826\pi\)
−0.751185 + 0.660092i \(0.770517\pi\)
\(692\) −137.415 971.785i −0.198577 1.40431i
\(693\) −36.0034 365.549i −0.0519530 0.527488i
\(694\) −249.307 + 260.082i −0.359232 + 0.374758i
\(695\) 1.12605 5.66102i 0.00162021 0.00814535i
\(696\) 17.8497 + 0.620104i 0.0256461 + 0.000890954i
\(697\) 167.083 + 839.983i 0.239717 + 1.20514i
\(698\) −1291.50 + 285.414i −1.85028 + 0.408902i
\(699\) 41.0683 + 12.4579i 0.0587530 + 0.0178225i
\(700\) 295.475 + 1214.52i 0.422107 + 1.73503i
\(701\) 617.590 506.843i 0.881013 0.723029i −0.0808014 0.996730i \(-0.525748\pi\)
0.961815 + 0.273701i \(0.0882479\pi\)
\(702\) −236.415 + 465.733i −0.336773 + 0.663437i
\(703\) 253.424 0.360489
\(704\) −214.711 + 96.2503i −0.304987 + 0.136719i
\(705\) 2.53885i 0.00360121i
\(706\) 61.2742 120.709i 0.0867906 0.170976i
\(707\) 729.279 + 888.629i 1.03151 + 1.25690i
\(708\) 212.655 349.392i 0.300360 0.493492i
\(709\) 304.610 1004.16i 0.429633 1.41631i −0.428808 0.903396i \(-0.641066\pi\)
0.858440 0.512913i \(-0.171434\pi\)
\(710\) 23.3050 5.15030i 0.0328240 0.00725394i
\(711\) 748.436 148.873i 1.05265 0.209386i
\(712\) 125.649 + 335.880i 0.176474 + 0.471741i
\(713\) 349.980 + 69.6153i 0.490855 + 0.0976372i
\(714\) 266.397 277.911i 0.373105 0.389230i
\(715\) −10.4332 + 1.02758i −0.0145919 + 0.00143718i
\(716\) −154.557 116.262i −0.215861 0.162377i
\(717\) −265.947 + 80.6741i −0.370916 + 0.112516i
\(718\) 249.082 888.327i 0.346911 1.23722i
\(719\) −281.899 680.565i −0.392071 0.946544i −0.989488 0.144613i \(-0.953806\pi\)
0.597417 0.801931i \(-0.296194\pi\)
\(720\) 16.6651 + 17.1239i 0.0231460 + 0.0237832i
\(721\) −1825.38 756.098i −2.53174 1.04868i
\(722\) −539.519 423.999i −0.747256 0.587256i
\(723\) 316.534 + 169.191i 0.437807 + 0.234013i
\(724\) 456.202 + 510.260i 0.630113 + 0.704779i
\(725\) −35.0417 + 42.6985i −0.0483334 + 0.0588945i
\(726\) −78.7509 + 202.108i −0.108472 + 0.278386i
\(727\) 416.189 + 622.870i 0.572474 + 0.856768i 0.998858 0.0477743i \(-0.0152128\pi\)
−0.426384 + 0.904542i \(0.640213\pi\)
\(728\) 202.227 1512.67i 0.277785 2.07784i
\(729\) 155.432 232.620i 0.213212 0.319094i
\(730\) −13.6898 2.42329i −0.0187531 0.00331958i
\(731\) −437.875 + 234.049i −0.599008 + 0.320176i
\(732\) −126.391 271.993i −0.172665 0.371575i
\(733\) −1350.34 132.997i −1.84222 0.181442i −0.884000 0.467487i \(-0.845159\pi\)
−0.958216 + 0.286045i \(0.907659\pi\)
\(734\) 1221.18 + 94.2480i 1.66373 + 0.128403i
\(735\) −14.3743 + 14.3743i −0.0195569 + 0.0195569i
\(736\) 618.770 + 911.043i 0.840720 + 1.23783i
\(737\) 133.523 133.523i 0.181171 0.181171i
\(738\) 583.653 + 681.278i 0.790858 + 0.923141i
\(739\) −777.834 76.6100i −1.05255 0.103667i −0.443084 0.896480i \(-0.646116\pi\)
−0.609465 + 0.792813i \(0.708616\pi\)
\(740\) 33.0060 + 30.3255i 0.0446027 + 0.0409805i
\(741\) −57.3888 + 30.6749i −0.0774477 + 0.0413967i
\(742\) −894.079 + 625.152i −1.20496 + 0.842523i
\(743\) −14.2804 + 21.3722i −0.0192200 + 0.0287647i −0.840955 0.541105i \(-0.818006\pi\)
0.821735 + 0.569869i \(0.193006\pi\)
\(744\) −55.3109 + 62.8159i −0.0743426 + 0.0844300i
\(745\) 22.4029 + 33.5283i 0.0300710 + 0.0450045i
\(746\) 1050.85 461.549i 1.40865 0.618699i
\(747\) −638.436 + 777.936i −0.854666 + 1.04141i
\(748\) −211.529 + 74.0704i −0.282793 + 0.0990246i
\(749\) 1517.16 + 810.939i 2.02558 + 1.08270i
\(750\) 18.7319 2.24584i 0.0249758 0.00299445i
\(751\) 484.081 + 200.513i 0.644581 + 0.266994i 0.680934 0.732345i \(-0.261574\pi\)
−0.0363528 + 0.999339i \(0.511574\pi\)
\(752\) −164.457 138.745i −0.218693 0.184502i
\(753\) 68.6758 + 165.798i 0.0912029 +