Properties

Label 300.2.r.a.179.45
Level $300$
Weight $2$
Character 300.179
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.r (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 179.45
Character \(\chi\) \(=\) 300.179
Dual form 300.2.r.a.119.45

$q$-expansion

\(f(q)\) \(=\) \(q+(1.17989 - 0.779648i) q^{2} +(1.19702 + 1.25186i) q^{3} +(0.784297 - 1.83980i) q^{4} +(0.0402025 + 2.23571i) q^{5} +(2.38836 + 0.543801i) q^{6} -1.15300 q^{7} +(-0.509012 - 2.78225i) q^{8} +(-0.134283 + 2.99699i) q^{9} +O(q^{10})\) \(q+(1.17989 - 0.779648i) q^{2} +(1.19702 + 1.25186i) q^{3} +(0.784297 - 1.83980i) q^{4} +(0.0402025 + 2.23571i) q^{5} +(2.38836 + 0.543801i) q^{6} -1.15300 q^{7} +(-0.509012 - 2.78225i) q^{8} +(-0.134283 + 2.99699i) q^{9} +(1.79050 + 2.60655i) q^{10} +(0.602735 - 1.85503i) q^{11} +(3.24199 - 1.22046i) q^{12} +(6.39005 - 2.07625i) q^{13} +(-1.36042 + 0.898935i) q^{14} +(-2.75066 + 2.72651i) q^{15} +(-2.76976 - 2.88591i) q^{16} +(-4.07198 + 2.95847i) q^{17} +(2.17816 + 3.64083i) q^{18} +(0.112798 + 0.155253i) q^{19} +(4.14479 + 1.67949i) q^{20} +(-1.38017 - 1.44339i) q^{21} +(-0.735105 - 2.65866i) q^{22} +(-5.77829 - 1.87748i) q^{23} +(2.87367 - 3.96762i) q^{24} +(-4.99677 + 0.179762i) q^{25} +(5.92083 - 7.43175i) q^{26} +(-3.91254 + 3.41936i) q^{27} +(-0.904295 + 2.12129i) q^{28} +(0.480676 - 0.661594i) q^{29} +(-1.11976 + 5.36154i) q^{30} +(-3.70672 - 5.10187i) q^{31} +(-5.51801 - 1.24563i) q^{32} +(3.04371 - 1.46597i) q^{33} +(-2.49794 + 6.66539i) q^{34} +(-0.0463535 - 2.57777i) q^{35} +(5.40856 + 2.59759i) q^{36} +(1.47943 - 0.480694i) q^{37} +(0.254132 + 0.0952391i) q^{38} +(10.2482 + 5.51410i) q^{39} +(6.19983 - 1.24986i) q^{40} +(6.34192 - 2.06062i) q^{41} +(-2.75378 - 0.627003i) q^{42} -4.89607 q^{43} +(-2.94016 - 2.56381i) q^{44} +(-6.70580 - 0.179730i) q^{45} +(-8.28154 + 2.28981i) q^{46} +(2.70571 - 3.72409i) q^{47} +(0.297283 - 6.92182i) q^{48} -5.67059 q^{49} +(-5.75550 + 4.10782i) q^{50} +(-8.57782 - 1.55618i) q^{51} +(1.19180 - 13.3848i) q^{52} +(4.10550 + 2.98282i) q^{53} +(-1.95048 + 7.08489i) q^{54} +(4.17153 + 1.27296i) q^{55} +(0.586891 + 3.20793i) q^{56} +(-0.0593327 + 0.327047i) q^{57} +(0.0513361 - 1.15537i) q^{58} +(-2.85979 - 8.80153i) q^{59} +(2.85892 + 7.19907i) q^{60} +(-1.91221 + 5.88518i) q^{61} +(-8.35120 - 3.12972i) q^{62} +(0.154828 - 3.45553i) q^{63} +(-7.48181 + 2.83240i) q^{64} +(4.89879 + 14.2028i) q^{65} +(2.44831 - 4.10271i) q^{66} +(-7.13081 + 5.18083i) q^{67} +(2.24936 + 9.81197i) q^{68} +(-4.56640 - 9.48097i) q^{69} +(-2.06445 - 3.00536i) q^{70} +(10.7466 + 7.80785i) q^{71} +(8.40673 - 1.15190i) q^{72} +(4.62698 + 1.50340i) q^{73} +(1.37079 - 1.72060i) q^{74} +(-6.20627 - 6.04005i) q^{75} +(0.374101 - 0.0857613i) q^{76} +(-0.694953 + 2.13885i) q^{77} +(16.3908 - 1.48393i) q^{78} +(6.10013 - 8.39611i) q^{79} +(6.34069 - 6.30838i) q^{80} +(-8.96394 - 0.804889i) q^{81} +(5.87624 - 7.37577i) q^{82} +(7.95281 + 10.9461i) q^{83} +(-3.73801 + 1.40719i) q^{84} +(-6.77797 - 8.98482i) q^{85} +(-5.77685 + 3.81721i) q^{86} +(1.40360 - 0.190205i) q^{87} +(-5.46795 - 0.732727i) q^{88} +(-1.79450 - 0.583067i) q^{89} +(-8.05225 + 5.01610i) q^{90} +(-7.36773 + 2.39392i) q^{91} +(-7.98610 + 9.15842i) q^{92} +(1.94977 - 10.7473i) q^{93} +(0.288970 - 6.50354i) q^{94} +(-0.342565 + 0.258424i) q^{95} +(-5.04582 - 8.39879i) q^{96} +(-5.18613 + 7.13810i) q^{97} +(-6.69069 + 4.42107i) q^{98} +(5.47857 + 2.05549i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} - 5q^{12} - 20q^{13} + 6q^{16} - 24q^{21} - 10q^{22} - 28q^{24} - 20q^{25} - 50q^{28} - 25q^{30} - 10q^{33} - 14q^{34} - 25q^{36} - 60q^{37} - 20q^{40} - 85q^{42} - 30q^{45} + 6q^{46} - 70q^{48} + 88q^{49} + 40q^{52} - 46q^{54} + 50q^{58} + 10q^{60} - 28q^{61} + 18q^{64} + 64q^{66} - 42q^{69} - 40q^{70} - 5q^{72} - 20q^{73} - 80q^{76} - 85q^{78} + 18q^{81} - 48q^{84} - 20q^{85} + 50q^{88} - 60q^{90} + 60q^{94} + 44q^{96} - 120q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{1}{10}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.17989 0.779648i 0.834311 0.551295i
\(3\) 1.19702 + 1.25186i 0.691100 + 0.722759i
\(4\) 0.784297 1.83980i 0.392149 0.919902i
\(5\) 0.0402025 + 2.23571i 0.0179791 + 0.999838i
\(6\) 2.38836 + 0.543801i 0.975045 + 0.222006i
\(7\) −1.15300 −0.435793 −0.217897 0.975972i \(-0.569920\pi\)
−0.217897 + 0.975972i \(0.569920\pi\)
\(8\) −0.509012 2.78225i −0.179963 0.983673i
\(9\) −0.134283 + 2.99699i −0.0447609 + 0.998998i
\(10\) 1.79050 + 2.60655i 0.566206 + 0.824264i
\(11\) 0.602735 1.85503i 0.181731 0.559312i −0.818145 0.575011i \(-0.804998\pi\)
0.999877 + 0.0156998i \(0.00499760\pi\)
\(12\) 3.24199 1.22046i 0.935881 0.352315i
\(13\) 6.39005 2.07625i 1.77228 0.575849i 0.773932 0.633269i \(-0.218287\pi\)
0.998350 + 0.0574197i \(0.0182873\pi\)
\(14\) −1.36042 + 0.898935i −0.363587 + 0.240250i
\(15\) −2.75066 + 2.72651i −0.710217 + 0.703983i
\(16\) −2.76976 2.88591i −0.692439 0.721477i
\(17\) −4.07198 + 2.95847i −0.987601 + 0.717534i −0.959394 0.282068i \(-0.908980\pi\)
−0.0282063 + 0.999602i \(0.508980\pi\)
\(18\) 2.17816 + 3.64083i 0.513397 + 0.858151i
\(19\) 0.112798 + 0.155253i 0.0258776 + 0.0356174i 0.821760 0.569834i \(-0.192993\pi\)
−0.795882 + 0.605452i \(0.792993\pi\)
\(20\) 4.14479 + 1.67949i 0.926804 + 0.375546i
\(21\) −1.38017 1.44339i −0.301177 0.314973i
\(22\) −0.735105 2.65866i −0.156725 0.566827i
\(23\) −5.77829 1.87748i −1.20486 0.391482i −0.363312 0.931668i \(-0.618354\pi\)
−0.841546 + 0.540186i \(0.818354\pi\)
\(24\) 2.87367 3.96762i 0.586586 0.809887i
\(25\) −4.99677 + 0.179762i −0.999354 + 0.0359524i
\(26\) 5.92083 7.43175i 1.16117 1.45749i
\(27\) −3.91254 + 3.41936i −0.752969 + 0.658056i
\(28\) −0.904295 + 2.12129i −0.170896 + 0.400887i
\(29\) 0.480676 0.661594i 0.0892593 0.122855i −0.762052 0.647516i \(-0.775808\pi\)
0.851311 + 0.524661i \(0.175808\pi\)
\(30\) −1.11976 + 5.36154i −0.204439 + 0.978879i
\(31\) −3.70672 5.10187i −0.665747 0.916323i 0.333907 0.942606i \(-0.391633\pi\)
−0.999655 + 0.0262832i \(0.991633\pi\)
\(32\) −5.51801 1.24563i −0.975455 0.220198i
\(33\) 3.04371 1.46597i 0.529842 0.255192i
\(34\) −2.49794 + 6.66539i −0.428393 + 1.14311i
\(35\) −0.0463535 2.57777i −0.00783517 0.435723i
\(36\) 5.40856 + 2.59759i 0.901427 + 0.432931i
\(37\) 1.47943 0.480694i 0.243216 0.0790257i −0.184872 0.982763i \(-0.559187\pi\)
0.428088 + 0.903737i \(0.359187\pi\)
\(38\) 0.254132 + 0.0952391i 0.0412256 + 0.0154498i
\(39\) 10.2482 + 5.51410i 1.64102 + 0.882963i
\(40\) 6.19983 1.24986i 0.980279 0.197619i
\(41\) 6.34192 2.06062i 0.990442 0.321814i 0.231402 0.972858i \(-0.425669\pi\)
0.759040 + 0.651044i \(0.225669\pi\)
\(42\) −2.75378 0.627003i −0.424918 0.0967486i
\(43\) −4.89607 −0.746644 −0.373322 0.927702i \(-0.621781\pi\)
−0.373322 + 0.927702i \(0.621781\pi\)
\(44\) −2.94016 2.56381i −0.443246 0.386508i
\(45\) −6.70580 0.179730i −0.999641 0.0267926i
\(46\) −8.28154 + 2.28981i −1.22105 + 0.337614i
\(47\) 2.70571 3.72409i 0.394669 0.543215i −0.564727 0.825278i \(-0.691019\pi\)
0.959396 + 0.282063i \(0.0910186\pi\)
\(48\) 0.297283 6.92182i 0.0429091 0.999079i
\(49\) −5.67059 −0.810084
\(50\) −5.75550 + 4.10782i −0.813951 + 0.580934i
\(51\) −8.57782 1.55618i −1.20114 0.217909i
\(52\) 1.19180 13.3848i 0.165273 1.85614i
\(53\) 4.10550 + 2.98282i 0.563933 + 0.409722i 0.832896 0.553429i \(-0.186681\pi\)
−0.268963 + 0.963151i \(0.586681\pi\)
\(54\) −1.95048 + 7.08489i −0.265427 + 0.964131i
\(55\) 4.17153 + 1.27296i 0.562489 + 0.171646i
\(56\) 0.586891 + 3.20793i 0.0784266 + 0.428678i
\(57\) −0.0593327 + 0.327047i −0.00785881 + 0.0433184i
\(58\) 0.0513361 1.15537i 0.00674076 0.151707i
\(59\) −2.85979 8.80153i −0.372313 1.14586i −0.945274 0.326279i \(-0.894205\pi\)
0.572960 0.819583i \(-0.305795\pi\)
\(60\) 2.85892 + 7.19907i 0.369085 + 0.929396i
\(61\) −1.91221 + 5.88518i −0.244834 + 0.753520i 0.750830 + 0.660495i \(0.229654\pi\)
−0.995664 + 0.0930251i \(0.970346\pi\)
\(62\) −8.35120 3.12972i −1.06060 0.397475i
\(63\) 0.154828 3.45553i 0.0195065 0.435356i
\(64\) −7.48181 + 2.83240i −0.935227 + 0.354050i
\(65\) 4.89879 + 14.2028i 0.607620 + 1.76164i
\(66\) 2.44831 4.10271i 0.301367 0.505009i
\(67\) −7.13081 + 5.18083i −0.871167 + 0.632940i −0.930900 0.365275i \(-0.880975\pi\)
0.0597331 + 0.998214i \(0.480975\pi\)
\(68\) 2.24936 + 9.81197i 0.272774 + 1.18988i
\(69\) −4.56640 9.48097i −0.549730 1.14137i
\(70\) −2.06445 3.00536i −0.246749 0.359209i
\(71\) 10.7466 + 7.80785i 1.27538 + 0.926621i 0.999403 0.0345419i \(-0.0109972\pi\)
0.275981 + 0.961163i \(0.410997\pi\)
\(72\) 8.40673 1.15190i 0.990743 0.135752i
\(73\) 4.62698 + 1.50340i 0.541547 + 0.175959i 0.567001 0.823717i \(-0.308103\pi\)
−0.0254549 + 0.999676i \(0.508103\pi\)
\(74\) 1.37079 1.72060i 0.159351 0.200016i
\(75\) −6.20627 6.04005i −0.716638 0.697445i
\(76\) 0.374101 0.0857613i 0.0429124 0.00983749i
\(77\) −0.694953 + 2.13885i −0.0791973 + 0.243744i
\(78\) 16.3908 1.48393i 1.85590 0.168022i
\(79\) 6.10013 8.39611i 0.686318 0.944636i −0.313670 0.949532i \(-0.601559\pi\)
0.999988 + 0.00489622i \(0.00155852\pi\)
\(80\) 6.34069 6.30838i 0.708911 0.705298i
\(81\) −8.96394 0.804889i −0.995993 0.0894322i
\(82\) 5.87624 7.37577i 0.648922 0.814518i
\(83\) 7.95281 + 10.9461i 0.872935 + 1.20149i 0.978328 + 0.207061i \(0.0663898\pi\)
−0.105394 + 0.994431i \(0.533610\pi\)
\(84\) −3.73801 + 1.40719i −0.407851 + 0.153537i
\(85\) −6.77797 8.98482i −0.735174 0.974540i
\(86\) −5.77685 + 3.81721i −0.622933 + 0.411621i
\(87\) 1.40360 0.190205i 0.150482 0.0203921i
\(88\) −5.46795 0.732727i −0.582885 0.0781089i
\(89\) −1.79450 0.583067i −0.190216 0.0618050i 0.212360 0.977192i \(-0.431885\pi\)
−0.402576 + 0.915387i \(0.631885\pi\)
\(90\) −8.05225 + 5.01610i −0.848782 + 0.528743i
\(91\) −7.36773 + 2.39392i −0.772348 + 0.250951i
\(92\) −7.98610 + 9.15842i −0.832608 + 0.954831i
\(93\) 1.94977 10.7473i 0.202182 1.11445i
\(94\) 0.288970 6.50354i 0.0298049 0.670789i
\(95\) −0.342565 + 0.258424i −0.0351464 + 0.0265137i
\(96\) −5.04582 8.39879i −0.514987 0.857198i
\(97\) −5.18613 + 7.13810i −0.526572 + 0.724764i −0.986603 0.163139i \(-0.947838\pi\)
0.460031 + 0.887903i \(0.347838\pi\)
\(98\) −6.69069 + 4.42107i −0.675862 + 0.446595i
\(99\) 5.47857 + 2.05549i 0.550617 + 0.206585i
\(100\) −3.58823 + 9.33406i −0.358823 + 0.933406i
\(101\) 6.45439i 0.642236i −0.947039 0.321118i \(-0.895941\pi\)
0.947039 0.321118i \(-0.104059\pi\)
\(102\) −11.3342 + 4.85155i −1.12225 + 0.480375i
\(103\) 15.4880 + 11.2527i 1.52608 + 1.10876i 0.958370 + 0.285530i \(0.0921695\pi\)
0.567707 + 0.823230i \(0.307830\pi\)
\(104\) −9.02927 16.7219i −0.885393 1.63971i
\(105\) 3.17151 3.14367i 0.309508 0.306791i
\(106\) 7.16960 + 0.318565i 0.696373 + 0.0309417i
\(107\) 11.1022i 1.07329i 0.843808 + 0.536646i \(0.180309\pi\)
−0.843808 + 0.536646i \(0.819691\pi\)
\(108\) 3.22236 + 9.88010i 0.310071 + 0.950713i
\(109\) −1.37075 4.21874i −0.131294 0.404082i 0.863701 0.504004i \(-0.168140\pi\)
−0.994995 + 0.0999226i \(0.968140\pi\)
\(110\) 5.91442 1.75036i 0.563918 0.166891i
\(111\) 2.37266 + 1.27662i 0.225203 + 0.121172i
\(112\) 3.19353 + 3.32745i 0.301760 + 0.314415i
\(113\) 2.06270 + 6.34833i 0.194042 + 0.597200i 0.999986 + 0.00520898i \(0.00165808\pi\)
−0.805944 + 0.591991i \(0.798342\pi\)
\(114\) 0.184975 + 0.432139i 0.0173245 + 0.0404736i
\(115\) 3.96520 12.9940i 0.369756 1.21170i
\(116\) −0.840210 1.40324i −0.0780115 0.130287i
\(117\) 5.36445 + 19.4298i 0.495943 + 1.79628i
\(118\) −10.2363 8.15524i −0.942332 0.750751i
\(119\) 4.69500 3.41111i 0.430390 0.312696i
\(120\) 8.98596 + 6.26518i 0.820302 + 0.571930i
\(121\) 5.82135 + 4.22946i 0.529214 + 0.384496i
\(122\) 2.33217 + 8.43474i 0.211144 + 0.763646i
\(123\) 10.1710 + 5.47257i 0.917089 + 0.493445i
\(124\) −12.2936 + 2.81826i −1.10400 + 0.253088i
\(125\) −0.602777 11.1641i −0.0539140 0.998546i
\(126\) −2.51142 4.19787i −0.223735 0.373976i
\(127\) −0.643220 + 1.97963i −0.0570765 + 0.175663i −0.975530 0.219865i \(-0.929438\pi\)
0.918454 + 0.395528i \(0.129438\pi\)
\(128\) −6.61947 + 9.17511i −0.585084 + 0.810973i
\(129\) −5.86070 6.12917i −0.516006 0.539644i
\(130\) 16.8532 + 12.9385i 1.47813 + 1.13478i
\(131\) −3.77470 + 2.74248i −0.329797 + 0.239612i −0.740345 0.672228i \(-0.765338\pi\)
0.410547 + 0.911839i \(0.365338\pi\)
\(132\) −0.309920 6.74959i −0.0269751 0.587476i
\(133\) −0.130056 0.179006i −0.0112773 0.0155218i
\(134\) −4.37436 + 11.6724i −0.377888 + 1.00834i
\(135\) −7.80198 8.60983i −0.671488 0.741016i
\(136\) 10.3039 + 9.82337i 0.883551 + 0.842347i
\(137\) −3.68613 11.3447i −0.314927 0.969246i −0.975784 0.218735i \(-0.929807\pi\)
0.660857 0.750512i \(-0.270193\pi\)
\(138\) −12.7797 7.62635i −1.08788 0.649198i
\(139\) −4.41592 1.43482i −0.374553 0.121700i 0.115690 0.993285i \(-0.463092\pi\)
−0.490243 + 0.871586i \(0.663092\pi\)
\(140\) −4.77895 1.93646i −0.403895 0.163661i
\(141\) 7.90082 1.07066i 0.665369 0.0901656i
\(142\) 18.7672 + 0.833877i 1.57491 + 0.0699774i
\(143\) 13.1052i 1.09591i
\(144\) 9.02097 7.91341i 0.751748 0.659451i
\(145\) 1.49845 + 1.04805i 0.124440 + 0.0870360i
\(146\) 6.63146 1.83357i 0.548823 0.151747i
\(147\) −6.78781 7.09876i −0.559849 0.585496i
\(148\) 0.275926 3.09886i 0.0226810 0.254725i
\(149\) 0.357608i 0.0292964i −0.999893 0.0146482i \(-0.995337\pi\)
0.999893 0.0146482i \(-0.00466283\pi\)
\(150\) −12.0319 2.28791i −0.982397 0.186807i
\(151\) 10.4831i 0.853100i −0.904464 0.426550i \(-0.859729\pi\)
0.904464 0.426550i \(-0.140271\pi\)
\(152\) 0.374536 0.392857i 0.0303789 0.0318649i
\(153\) −8.31971 12.6010i −0.672609 1.01873i
\(154\) 0.847577 + 3.06543i 0.0682997 + 0.247019i
\(155\) 11.2573 8.49226i 0.904205 0.682114i
\(156\) 18.1825 14.5300i 1.45576 1.16333i
\(157\) 5.41895i 0.432480i −0.976340 0.216240i \(-0.930621\pi\)
0.976340 0.216240i \(-0.0693793\pi\)
\(158\) 0.651493 14.6625i 0.0518300 1.16648i
\(159\) 1.18031 + 8.70998i 0.0936046 + 0.690747i
\(160\) 2.56302 12.3867i 0.202625 0.979256i
\(161\) 6.66237 + 2.16474i 0.525069 + 0.170605i
\(162\) −11.2040 + 6.03903i −0.880271 + 0.474471i
\(163\) 5.81667 + 17.9019i 0.455597 + 1.40218i 0.870433 + 0.492286i \(0.163839\pi\)
−0.414837 + 0.909896i \(0.636161\pi\)
\(164\) 1.18283 13.2840i 0.0923631 1.03731i
\(165\) 3.39984 + 6.74591i 0.264677 + 0.525168i
\(166\) 17.9176 + 6.71484i 1.39067 + 0.521173i
\(167\) 7.88238 + 10.8492i 0.609957 + 0.839533i 0.996574 0.0827069i \(-0.0263565\pi\)
−0.386617 + 0.922240i \(0.626357\pi\)
\(168\) −3.31335 + 4.57467i −0.255630 + 0.352943i
\(169\) 26.0047 18.8935i 2.00036 1.45335i
\(170\) −15.0023 5.31670i −1.15062 0.407772i
\(171\) −0.480438 + 0.317206i −0.0367400 + 0.0242574i
\(172\) −3.83998 + 9.00781i −0.292796 + 0.686839i
\(173\) 6.56105 20.1929i 0.498828 1.53523i −0.312078 0.950057i \(-0.601025\pi\)
0.810905 0.585177i \(-0.198975\pi\)
\(174\) 1.50780 1.31873i 0.114306 0.0999730i
\(175\) 5.76127 0.207266i 0.435511 0.0156678i
\(176\) −7.02286 + 3.39853i −0.529368 + 0.256174i
\(177\) 7.59501 14.1157i 0.570876 1.06100i
\(178\) −2.57190 + 0.711118i −0.192772 + 0.0533006i
\(179\) 1.22604 + 0.890767i 0.0916382 + 0.0665791i 0.632661 0.774429i \(-0.281963\pi\)
−0.541023 + 0.841008i \(0.681963\pi\)
\(180\) −5.59001 + 12.1964i −0.416655 + 0.909065i
\(181\) −2.29510 + 1.66748i −0.170593 + 0.123943i −0.669806 0.742536i \(-0.733623\pi\)
0.499213 + 0.866479i \(0.333623\pi\)
\(182\) −6.82672 + 8.56881i −0.506030 + 0.635163i
\(183\) −9.65635 + 4.65087i −0.713818 + 0.343802i
\(184\) −2.28240 + 17.0323i −0.168261 + 1.25564i
\(185\) 1.13417 + 3.28824i 0.0833857 + 0.241756i
\(186\) −6.07861 14.2008i −0.445705 1.04126i
\(187\) 3.03371 + 9.33681i 0.221847 + 0.682775i
\(188\) −4.72952 7.89878i −0.344936 0.576077i
\(189\) 4.51116 3.94252i 0.328139 0.286776i
\(190\) −0.202710 + 0.571993i −0.0147061 + 0.0414967i
\(191\) −3.95143 12.1612i −0.285915 0.879956i −0.986123 0.166017i \(-0.946909\pi\)
0.700208 0.713939i \(-0.253091\pi\)
\(192\) −12.5016 5.97571i −0.902228 0.431260i
\(193\) 11.9381i 0.859326i 0.902989 + 0.429663i \(0.141368\pi\)
−0.902989 + 0.429663i \(0.858632\pi\)
\(194\) −0.553878 + 12.4656i −0.0397661 + 0.894974i
\(195\) −11.9159 + 23.1336i −0.853316 + 1.65663i
\(196\) −4.44743 + 10.4328i −0.317674 + 0.745198i
\(197\) 15.9619 + 11.5970i 1.13724 + 0.826250i 0.986732 0.162359i \(-0.0519103\pi\)
0.150504 + 0.988609i \(0.451910\pi\)
\(198\) 8.06668 1.84609i 0.573274 0.131196i
\(199\) 2.32854i 0.165066i 0.996588 + 0.0825329i \(0.0263009\pi\)
−0.996588 + 0.0825329i \(0.973699\pi\)
\(200\) 3.04356 + 13.8107i 0.215212 + 0.976567i
\(201\) −15.0214 2.72517i −1.05953 0.192219i
\(202\) −5.03216 7.61550i −0.354061 0.535825i
\(203\) −0.554219 + 0.762818i −0.0388986 + 0.0535393i
\(204\) −9.59064 + 14.5610i −0.671479 + 1.01947i
\(205\) 4.86189 + 14.0958i 0.339569 + 0.984496i
\(206\) 27.0473 + 1.20179i 1.88448 + 0.0837323i
\(207\) 6.40272 17.0654i 0.445020 1.18613i
\(208\) −23.6908 12.6904i −1.64266 0.879920i
\(209\) 0.355985 0.115667i 0.0246240 0.00800082i
\(210\) 1.29108 6.18186i 0.0890933 0.426589i
\(211\) −17.8670 5.80534i −1.23002 0.399656i −0.379296 0.925275i \(-0.623834\pi\)
−0.850720 + 0.525619i \(0.823834\pi\)
\(212\) 8.70773 5.21389i 0.598049 0.358092i
\(213\) 3.08958 + 22.7993i 0.211695 + 1.56218i
\(214\) 8.65582 + 13.0994i 0.591700 + 0.895459i
\(215\) −0.196834 10.9462i −0.0134240 0.746524i
\(216\) 11.5050 + 9.14516i 0.782819 + 0.622250i
\(217\) 4.27386 + 5.88246i 0.290128 + 0.399327i
\(218\) −4.90647 3.90896i −0.332308 0.264748i
\(219\) 3.65655 + 7.59190i 0.247087 + 0.513013i
\(220\) 5.61372 6.67641i 0.378477 0.450124i
\(221\) −19.8776 + 27.3592i −1.33712 + 1.84038i
\(222\) 3.79481 0.343560i 0.254691 0.0230583i
\(223\) −0.00385411 + 0.0118617i −0.000258090 + 0.000794321i −0.951185 0.308620i \(-0.900133\pi\)
0.950927 + 0.309414i \(0.100133\pi\)
\(224\) 6.36227 + 1.43621i 0.425097 + 0.0959608i
\(225\) 0.132235 14.9994i 0.00881565 0.999961i
\(226\) 7.38322 + 5.88217i 0.491125 + 0.391276i
\(227\) −6.35998 2.06648i −0.422127 0.137157i 0.0902480 0.995919i \(-0.471234\pi\)
−0.512375 + 0.858762i \(0.671234\pi\)
\(228\) 0.555168 + 0.365663i 0.0367669 + 0.0242166i
\(229\) −22.1840 16.1177i −1.46596 1.06508i −0.981759 0.190129i \(-0.939109\pi\)
−0.484204 0.874955i \(-0.660891\pi\)
\(230\) −5.45228 18.4230i −0.359512 1.21478i
\(231\) −3.50940 + 1.69026i −0.230902 + 0.111211i
\(232\) −2.08539 1.00060i −0.136912 0.0656926i
\(233\) −6.13433 + 4.45685i −0.401873 + 0.291978i −0.770303 0.637677i \(-0.779895\pi\)
0.368430 + 0.929655i \(0.379895\pi\)
\(234\) 21.4778 + 18.7427i 1.40405 + 1.22525i
\(235\) 8.43476 + 5.89946i 0.550223 + 0.384838i
\(236\) −18.4360 1.64156i −1.20008 0.106857i
\(237\) 17.8127 2.41384i 1.15706 0.156796i
\(238\) 2.88013 7.68520i 0.186691 0.498157i
\(239\) 0.0135238 0.0416220i 0.000874782 0.00269230i −0.950618 0.310363i \(-0.899549\pi\)
0.951493 + 0.307671i \(0.0995495\pi\)
\(240\) 15.4871 + 0.386363i 0.999689 + 0.0249396i
\(241\) 0.797261 + 2.45372i 0.0513561 + 0.158058i 0.973445 0.228919i \(-0.0735192\pi\)
−0.922089 + 0.386977i \(0.873519\pi\)
\(242\) 10.1661 + 0.451706i 0.653499 + 0.0290367i
\(243\) −9.72241 12.1850i −0.623693 0.781669i
\(244\) 9.32784 + 8.13383i 0.597154 + 0.520715i
\(245\) −0.227972 12.6778i −0.0145646 0.809953i
\(246\) 16.2674 1.47276i 1.03717 0.0938995i
\(247\) 1.04313 + 0.757876i 0.0663726 + 0.0482225i
\(248\) −12.3079 + 12.9099i −0.781552 + 0.819782i
\(249\) −4.18326 + 23.0585i −0.265103 + 1.46127i
\(250\) −9.41527 12.7025i −0.595474 0.803375i
\(251\) 22.7861 1.43824 0.719122 0.694884i \(-0.244544\pi\)
0.719122 + 0.694884i \(0.244544\pi\)
\(252\) −6.23607 2.99502i −0.392836 0.188669i
\(253\) −6.96556 + 9.58727i −0.437921 + 0.602746i
\(254\) 0.784481 + 2.83723i 0.0492227 + 0.178024i
\(255\) 3.13432 19.2401i 0.196279 1.20486i
\(256\) −0.656913 + 15.9865i −0.0410571 + 0.999157i
\(257\) −6.97969 −0.435381 −0.217691 0.976018i \(-0.569852\pi\)
−0.217691 + 0.976018i \(0.569852\pi\)
\(258\) −11.6936 2.66249i −0.728012 0.165759i
\(259\) −1.70578 + 0.554241i −0.105992 + 0.0344388i
\(260\) 29.9725 + 2.12642i 1.85882 + 0.131875i
\(261\) 1.91825 + 1.52942i 0.118736 + 0.0946689i
\(262\) −2.31557 + 6.17877i −0.143057 + 0.381726i
\(263\) −28.2278 + 9.17178i −1.74060 + 0.565556i −0.994913 0.100738i \(-0.967880\pi\)
−0.745689 + 0.666294i \(0.767880\pi\)
\(264\) −5.62798 7.72216i −0.346378 0.475266i
\(265\) −6.50366 + 9.29860i −0.399516 + 0.571209i
\(266\) −0.293014 0.109811i −0.0179658 0.00673293i
\(267\) −1.41813 2.94439i −0.0867883 0.180194i
\(268\) 3.93904 + 17.1826i 0.240615 + 1.04959i
\(269\) −5.16290 7.10612i −0.314787 0.433268i 0.622079 0.782954i \(-0.286288\pi\)
−0.936867 + 0.349686i \(0.886288\pi\)
\(270\) −15.9181 4.07588i −0.968747 0.248050i
\(271\) 1.46429 2.01543i 0.0889495 0.122429i −0.762223 0.647315i \(-0.775892\pi\)
0.851173 + 0.524886i \(0.175892\pi\)
\(272\) 19.8163 + 3.55713i 1.20154 + 0.215683i
\(273\) −11.8162 6.35776i −0.715147 0.384789i
\(274\) −13.1941 10.5117i −0.797087 0.635035i
\(275\) −2.67826 + 9.37749i −0.161505 + 0.565484i
\(276\) −21.0245 + 0.965382i −1.26553 + 0.0581092i
\(277\) −19.1206 6.21266i −1.14884 0.373282i −0.328137 0.944630i \(-0.606421\pi\)
−0.820708 + 0.571348i \(0.806421\pi\)
\(278\) −6.32897 + 1.74993i −0.379586 + 0.104954i
\(279\) 15.7880 10.4239i 0.945204 0.624065i
\(280\) −7.14840 + 1.44108i −0.427199 + 0.0861212i
\(281\) 2.93004 + 4.03285i 0.174791 + 0.240580i 0.887420 0.460962i \(-0.152495\pi\)
−0.712629 + 0.701542i \(0.752495\pi\)
\(282\) 8.48739 7.42312i 0.505417 0.442040i
\(283\) 15.9284 11.5727i 0.946845 0.687923i −0.00321335 0.999995i \(-0.501023\pi\)
0.950059 + 0.312071i \(0.101023\pi\)
\(284\) 22.7934 13.6479i 1.35254 0.809855i
\(285\) −0.733566 0.119502i −0.0434527 0.00707871i
\(286\) −10.2174 15.4627i −0.604168 0.914328i
\(287\) −7.31224 + 2.37589i −0.431628 + 0.140244i
\(288\) 4.47411 16.3702i 0.263640 0.964621i
\(289\) 2.57521 7.92569i 0.151483 0.466217i
\(290\) 2.58513 + 0.0683238i 0.151804 + 0.00401211i
\(291\) −15.1438 + 2.05216i −0.887743 + 0.120300i
\(292\) 6.39488 7.33362i 0.374232 0.429167i
\(293\) −18.6192 −1.08775 −0.543873 0.839167i \(-0.683043\pi\)
−0.543873 + 0.839167i \(0.683043\pi\)
\(294\) −13.5434 3.08367i −0.789869 0.179843i
\(295\) 19.5627 6.74750i 1.13898 0.392854i
\(296\) −2.09046 3.87145i −0.121505 0.225023i
\(297\) 3.98478 + 9.31884i 0.231220 + 0.540734i
\(298\) −0.278808 0.421939i −0.0161509 0.0244423i
\(299\) −40.8217 −2.36078
\(300\) −15.9801 + 6.68112i −0.922610 + 0.385735i
\(301\) 5.64517 0.325382
\(302\) −8.17311 12.3689i −0.470309 0.711751i
\(303\) 8.07997 7.72604i 0.464182 0.443850i
\(304\) 0.135623 0.755535i 0.00777850 0.0433329i
\(305\) −13.2344 4.03855i −0.757801 0.231246i
\(306\) −19.6407 8.38136i −1.12278 0.479130i
\(307\) −27.0386 −1.54317 −0.771587 0.636124i \(-0.780537\pi\)
−0.771587 + 0.636124i \(0.780537\pi\)
\(308\) 3.39001 + 2.95607i 0.193164 + 0.168438i
\(309\) 4.45272 + 32.8584i 0.253306 + 1.86925i
\(310\) 6.66140 18.7967i 0.378342 1.06758i
\(311\) −3.89046 + 11.9736i −0.220608 + 0.678961i 0.778100 + 0.628140i \(0.216184\pi\)
−0.998708 + 0.0508206i \(0.983816\pi\)
\(312\) 10.1251 31.3198i 0.573224 1.77313i
\(313\) 14.0468 4.56408i 0.793972 0.257977i 0.116178 0.993228i \(-0.462936\pi\)
0.677795 + 0.735251i \(0.262936\pi\)
\(314\) −4.22488 6.39379i −0.238424 0.360822i
\(315\) 7.73178 + 0.207229i 0.435637 + 0.0116760i
\(316\) −10.6629 17.8081i −0.599834 1.00178i
\(317\) 12.3277 8.95661i 0.692393 0.503053i −0.185053 0.982729i \(-0.559246\pi\)
0.877446 + 0.479675i \(0.159246\pi\)
\(318\) 8.18336 + 9.35663i 0.458900 + 0.524694i
\(319\) −0.937554 1.29043i −0.0524929 0.0722503i
\(320\) −6.63319 16.6133i −0.370807 0.928710i
\(321\) −13.8984 + 13.2896i −0.775731 + 0.741752i
\(322\) 9.54862 2.64015i 0.532124 0.147130i
\(323\) −0.918620 0.298478i −0.0511134 0.0166077i
\(324\) −8.51123 + 15.8606i −0.472846 + 0.881145i
\(325\) −31.5564 + 11.5232i −1.75043 + 0.639195i
\(326\) 20.8202 + 16.5873i 1.15312 + 0.918688i
\(327\) 3.64043 6.76590i 0.201316 0.374155i
\(328\) −8.96126 16.5959i −0.494803 0.916357i
\(329\) −3.11969 + 4.29388i −0.171994 + 0.236729i
\(330\) 9.27089 + 5.30877i 0.510345 + 0.292238i
\(331\) 6.65956 + 9.16609i 0.366042 + 0.503814i 0.951820 0.306658i \(-0.0992107\pi\)
−0.585777 + 0.810472i \(0.699211\pi\)
\(332\) 26.3761 6.04661i 1.44757 0.331851i
\(333\) 1.24198 + 4.49838i 0.0680599 + 0.246509i
\(334\) 17.7589 + 6.65537i 0.971723 + 0.364166i
\(335\) −11.8695 15.7341i −0.648500 0.859646i
\(336\) −0.342767 + 7.98086i −0.0186995 + 0.435392i
\(337\) 9.05362 2.94170i 0.493182 0.160245i −0.0518583 0.998654i \(-0.516514\pi\)
0.545040 + 0.838410i \(0.316514\pi\)
\(338\) 15.9525 42.5669i 0.867701 2.31533i
\(339\) −5.47810 + 10.1813i −0.297529 + 0.552971i
\(340\) −21.8462 + 5.42336i −1.18478 + 0.294123i
\(341\) −11.6983 + 3.80100i −0.633497 + 0.205836i
\(342\) −0.319557 + 0.748842i −0.0172796 + 0.0404927i
\(343\) 14.6092 0.788822
\(344\) 2.49216 + 13.6221i 0.134368 + 0.734454i
\(345\) 21.0131 10.5903i 1.13131 0.570162i
\(346\) −8.00197 28.9407i −0.430189 1.55586i
\(347\) −8.33651 + 11.4742i −0.447527 + 0.615969i −0.971864 0.235542i \(-0.924313\pi\)
0.524337 + 0.851511i \(0.324313\pi\)
\(348\) 0.750899 2.73152i 0.0402524 0.146425i
\(349\) 2.26969 0.121494 0.0607469 0.998153i \(-0.480652\pi\)
0.0607469 + 0.998153i \(0.480652\pi\)
\(350\) 6.63610 4.73632i 0.354714 0.253167i
\(351\) −17.9019 + 29.9733i −0.955532 + 1.59986i
\(352\) −5.63657 + 9.48527i −0.300430 + 0.505567i
\(353\) −18.8297 13.6806i −1.00221 0.728145i −0.0396457 0.999214i \(-0.512623\pi\)
−0.962560 + 0.271069i \(0.912623\pi\)
\(354\) −2.04394 22.5764i −0.108634 1.19992i
\(355\) −17.0240 + 24.3401i −0.903541 + 1.29184i
\(356\) −2.48015 + 2.84422i −0.131448 + 0.150743i
\(357\) 9.89023 + 1.79428i 0.523446 + 0.0949634i
\(358\) 2.14108 + 0.0951338i 0.113159 + 0.00502798i
\(359\) −2.58358 7.95144i −0.136356 0.419661i 0.859442 0.511233i \(-0.170811\pi\)
−0.995798 + 0.0915716i \(0.970811\pi\)
\(360\) 2.91328 + 18.7487i 0.153543 + 0.988142i
\(361\) 5.85994 18.0350i 0.308418 0.949213i
\(362\) −1.40792 + 3.75682i −0.0739985 + 0.197454i
\(363\) 1.67361 + 12.3502i 0.0878416 + 0.648219i
\(364\) −1.37415 + 15.4327i −0.0720249 + 0.808895i
\(365\) −3.17514 + 10.4050i −0.166194 + 0.544623i
\(366\) −7.76742 + 13.0161i −0.406010 + 0.680362i
\(367\) 3.89883 2.83267i 0.203517 0.147864i −0.481358 0.876524i \(-0.659856\pi\)
0.684876 + 0.728660i \(0.259856\pi\)
\(368\) 10.5862 + 21.8758i 0.551845 + 1.14035i
\(369\) 5.32404 + 19.2834i 0.277158 + 1.00385i
\(370\) 3.90186 + 2.99552i 0.202848 + 0.155729i
\(371\) −4.73364 3.43919i −0.245758 0.178554i
\(372\) −18.2438 12.0163i −0.945895 0.623016i
\(373\) 6.13507 + 1.99341i 0.317662 + 0.103215i 0.463508 0.886093i \(-0.346590\pi\)
−0.145846 + 0.989307i \(0.546590\pi\)
\(374\) 10.8589 + 8.65121i 0.561499 + 0.447343i
\(375\) 13.2543 14.1182i 0.684448 0.729062i
\(376\) −11.7386 5.63235i −0.605372 0.290467i
\(377\) 1.69791 5.22562i 0.0874467 0.269133i
\(378\) 2.24891 8.16888i 0.115671 0.420162i
\(379\) −13.7372 + 18.9076i −0.705631 + 0.971218i 0.294249 + 0.955729i \(0.404930\pi\)
−0.999880 + 0.0154889i \(0.995070\pi\)
\(380\) 0.206777 + 0.832933i 0.0106074 + 0.0427286i
\(381\) −3.24815 + 1.56444i −0.166408 + 0.0801485i
\(382\) −14.1437 11.2682i −0.723657 0.576533i
\(383\) 13.0774 + 17.9995i 0.668224 + 0.919731i 0.999718 0.0237262i \(-0.00755300\pi\)
−0.331495 + 0.943457i \(0.607553\pi\)
\(384\) −19.4095 + 2.69618i −0.990489 + 0.137589i
\(385\) −4.80977 1.46772i −0.245129 0.0748022i
\(386\) 9.30754 + 14.0857i 0.473742 + 0.716945i
\(387\) 0.657459 14.6735i 0.0334205 0.745896i
\(388\) 9.06523 + 15.1399i 0.460217 + 0.768610i
\(389\) 32.8419 + 10.6710i 1.66515 + 0.541040i 0.981941 0.189185i \(-0.0605845\pi\)
0.683207 + 0.730224i \(0.260585\pi\)
\(390\) 3.97659 + 36.5854i 0.201363 + 1.85258i
\(391\) 29.0836 9.44982i 1.47082 0.477898i
\(392\) 2.88640 + 15.7770i 0.145785 + 0.796858i
\(393\) −7.95158 1.44257i −0.401104 0.0727682i
\(394\) 27.8749 + 1.23856i 1.40432 + 0.0623975i
\(395\) 19.0165 + 13.3006i 0.956823 + 0.669224i
\(396\) 8.07852 8.46737i 0.405961 0.425501i
\(397\) 2.16428 2.97888i 0.108622 0.149506i −0.751245 0.660024i \(-0.770546\pi\)
0.859867 + 0.510518i \(0.170546\pi\)
\(398\) 1.81544 + 2.74743i 0.0909998 + 0.137716i
\(399\) 0.0684106 0.377085i 0.00342482 0.0188779i
\(400\) 14.3586 + 13.9223i 0.717930 + 0.696115i
\(401\) 9.19832i 0.459342i −0.973268 0.229671i \(-0.926235\pi\)
0.973268 0.229671i \(-0.0737650\pi\)
\(402\) −19.8483 + 8.49598i −0.989943 + 0.423741i
\(403\) −34.2789 24.9051i −1.70756 1.24061i
\(404\) −11.8748 5.06216i −0.590794 0.251852i
\(405\) 1.43912 20.0731i 0.0715106 0.997440i
\(406\) −0.0591906 + 1.33214i −0.00293758 + 0.0661130i
\(407\) 3.03410i 0.150395i
\(408\) 0.0365236 + 24.6577i 0.00180819 + 1.22074i
\(409\) 7.92244 + 24.3827i 0.391739 + 1.20565i 0.931472 + 0.363813i \(0.118525\pi\)
−0.539733 + 0.841836i \(0.681475\pi\)
\(410\) 16.7263 + 12.8410i 0.826053 + 0.634173i
\(411\) 9.78959 18.1944i 0.482885 0.897463i
\(412\) 32.8499 19.6694i 1.61840 0.969042i
\(413\) 3.29734 + 10.1482i 0.162252 + 0.499359i
\(414\) −5.75047 25.1272i −0.282620 1.23494i
\(415\) −24.1526 + 18.2202i −1.18560 + 0.894395i
\(416\) −37.8466 + 3.49716i −1.85558 + 0.171462i
\(417\) −3.48976 7.24560i −0.170894 0.354818i
\(418\) 0.329845 0.414017i 0.0161333 0.0202502i
\(419\) 11.9429 8.67699i 0.583446 0.423899i −0.256518 0.966539i \(-0.582575\pi\)
0.839965 + 0.542641i \(0.182575\pi\)
\(420\) −3.29633 8.30053i −0.160845 0.405024i
\(421\) 12.4681 + 9.05862i 0.607659 + 0.441490i 0.848589 0.529052i \(-0.177452\pi\)
−0.240930 + 0.970543i \(0.577452\pi\)
\(422\) −25.6073 + 7.08030i −1.24654 + 0.344663i
\(423\) 10.7978 + 8.60908i 0.525005 + 0.418588i
\(424\) 6.20919 12.9408i 0.301545 0.628461i
\(425\) 19.8149 15.5148i 0.961165 0.752577i
\(426\) 21.4208 + 24.4920i 1.03784 + 1.18664i
\(427\) 2.20478 6.78562i 0.106697 0.328379i
\(428\) 20.4259 + 8.70744i 0.987323 + 0.420890i
\(429\) 16.4058 15.6871i 0.792077 0.757382i
\(430\) −8.76642 12.7619i −0.422754 0.615432i
\(431\) −23.5065 + 17.0785i −1.13227 + 0.822642i −0.986024 0.166606i \(-0.946719\pi\)
−0.146246 + 0.989248i \(0.546719\pi\)
\(432\) 20.7047 + 1.82044i 0.996157 + 0.0875858i
\(433\) 5.72783 + 7.88369i 0.275262 + 0.378866i 0.924157 0.382012i \(-0.124769\pi\)
−0.648895 + 0.760878i \(0.724769\pi\)
\(434\) 9.62894 + 3.60857i 0.462204 + 0.173217i
\(435\) 0.481670 + 3.13039i 0.0230943 + 0.150091i
\(436\) −8.83672 0.786832i −0.423202 0.0376824i
\(437\) −0.360294 1.10887i −0.0172352 0.0530445i
\(438\) 10.2334 + 6.10681i 0.488968 + 0.291795i
\(439\) 1.52703 + 0.496161i 0.0728810 + 0.0236805i 0.345231 0.938518i \(-0.387801\pi\)
−0.272350 + 0.962198i \(0.587801\pi\)
\(440\) 1.41834 12.2542i 0.0676166 0.584195i
\(441\) 0.761463 16.9947i 0.0362601 0.809272i
\(442\) −2.12293 + 47.7786i −0.100977 + 2.27259i
\(443\) 35.3206i 1.67813i −0.544028 0.839067i \(-0.683101\pi\)
0.544028 0.839067i \(-0.316899\pi\)
\(444\) 4.20961 3.36398i 0.199779 0.159647i
\(445\) 1.23142 4.03541i 0.0583751 0.191297i
\(446\) 0.00470054 + 0.0170004i 0.000222577 + 0.000804994i
\(447\) 0.447673 0.428064i 0.0211742 0.0202467i
\(448\) 8.62653 3.26575i 0.407565 0.154292i
\(449\) 8.67343i 0.409324i 0.978833 + 0.204662i \(0.0656096\pi\)
−0.978833 + 0.204662i \(0.934390\pi\)
\(450\) −11.5382 17.8008i −0.543918 0.839138i
\(451\) 13.0064i 0.612449i
\(452\) 13.2974 + 1.18402i 0.625459 + 0.0556916i
\(453\) 13.1233 12.5485i 0.616586 0.589578i
\(454\) −9.11522 + 2.52032i −0.427799 + 0.118284i
\(455\) −5.64831 16.3758i −0.264797 0.767712i
\(456\) 0.940127 0.00139254i 0.0440255 6.52116e-5i
\(457\) 30.3517i 1.41979i −0.704307 0.709896i \(-0.748742\pi\)
0.704307 0.709896i \(-0.251258\pi\)
\(458\) −38.7409 1.72136i −1.81024 0.0804340i
\(459\) 5.81573 25.4987i 0.271455 1.19018i
\(460\) −20.7966 17.4864i −0.969647 0.815307i
\(461\) −7.88600 2.56232i −0.367288 0.119339i 0.119558 0.992827i \(-0.461852\pi\)
−0.486845 + 0.873488i \(0.661852\pi\)
\(462\) −2.82291 + 4.73043i −0.131334 + 0.220079i
\(463\) −10.0138 30.8192i −0.465380 1.43229i −0.858504 0.512806i \(-0.828606\pi\)
0.393125 0.919485i \(-0.371394\pi\)
\(464\) −3.24065 + 0.445267i −0.150443 + 0.0206710i
\(465\) 24.1063 + 3.92706i 1.11790 + 0.182113i
\(466\) −3.76308 + 10.0412i −0.174321 + 0.465151i
\(467\) −3.08912 4.25181i −0.142947 0.196750i 0.731540 0.681799i \(-0.238802\pi\)
−0.874487 + 0.485048i \(0.838802\pi\)
\(468\) 39.9542 + 5.36918i 1.84689 + 0.248190i
\(469\) 8.22182 5.97350i 0.379649 0.275831i
\(470\) 14.5516 + 0.384593i 0.671216 + 0.0177400i
\(471\) 6.78374 6.48660i 0.312578 0.298887i
\(472\) −23.0324 + 12.4367i −1.06015 + 0.572447i
\(473\) −2.95103 + 9.08235i −0.135689 + 0.417607i
\(474\) 19.1351 16.7357i 0.878906 0.768696i
\(475\) −0.591532 0.755485i −0.0271414 0.0346640i
\(476\) −2.59351 11.3132i −0.118873 0.518540i
\(477\) −9.49078 + 11.9036i −0.434553 + 0.545029i
\(478\) −0.0164938 0.0596533i −0.000754411 0.00272848i
\(479\) 30.1909 + 21.9350i 1.37946 + 1.00223i 0.996931 + 0.0782895i \(0.0249459\pi\)
0.382526 + 0.923945i \(0.375054\pi\)
\(480\) 18.5744 11.6186i 0.847800 0.530316i
\(481\) 8.45556 6.14333i 0.385540 0.280112i
\(482\) 2.85372 + 2.27354i 0.129983 + 0.103557i
\(483\) 5.26506 + 10.9316i 0.239569 + 0.497403i
\(484\) 12.3470 7.39299i 0.561229 0.336045i
\(485\) −16.1672 11.3077i −0.734114 0.513456i
\(486\) −20.9714 6.79696i −0.951284 0.308317i
\(487\) 6.48104 + 19.9466i 0.293684 + 0.903866i 0.983660 + 0.180034i \(0.0576208\pi\)
−0.689977 + 0.723832i \(0.742379\pi\)
\(488\) 17.3474 + 2.32462i 0.785279 + 0.105231i
\(489\) −15.4479 + 28.7105i −0.698577 + 1.29834i
\(490\) −10.1532 14.7807i −0.458674 0.667723i
\(491\) −0.931450 2.86671i −0.0420358 0.129373i 0.927836 0.372988i \(-0.121667\pi\)
−0.969872 + 0.243615i \(0.921667\pi\)
\(492\) 18.0455 14.4205i 0.813556 0.650128i
\(493\) 4.11606i 0.185378i
\(494\) 1.82166 + 0.0809411i 0.0819602 + 0.00364171i
\(495\) −4.37522 + 12.3311i −0.196652 + 0.554242i
\(496\) −4.45680 + 24.8282i −0.200116 + 1.11482i
\(497\) −12.3908 9.00245i −0.555804 0.403815i
\(498\) 13.0417 + 30.4680i 0.584413 + 1.36530i
\(499\) 20.4180i 0.914033i −0.889458 0.457017i \(-0.848918\pi\)
0.889458 0.457017i \(-0.151082\pi\)
\(500\) −21.0125 7.64697i −0.939706 0.341983i
\(501\) −4.14621 + 22.8543i −0.185239 + 1.02105i
\(502\) 26.8851 17.7651i 1.19994 0.792896i
\(503\) −18.7210 + 25.7673i −0.834729 + 1.14891i 0.152295 + 0.988335i \(0.451334\pi\)
−0.987024 + 0.160571i \(0.948666\pi\)
\(504\) −9.69296 + 1.32814i −0.431759 + 0.0591600i
\(505\) 14.4301 0.259483i 0.642132 0.0115468i
\(506\) −0.743920 + 16.7426i −0.0330713 + 0.744301i
\(507\) 54.7802 + 9.93819i 2.43287 + 0.441371i
\(508\) 3.13765 + 2.73601i 0.139211 + 0.121391i
\(509\) −4.72783 + 1.53616i −0.209557 + 0.0680893i −0.411915 0.911222i \(-0.635140\pi\)
0.202357 + 0.979312i \(0.435140\pi\)
\(510\) −11.3023 25.1449i −0.500474 1.11343i
\(511\) −5.33490 1.73342i −0.236002 0.0766818i
\(512\) 11.6888 + 19.3745i 0.516575 + 0.856242i
\(513\) −0.972190 0.221737i −0.0429232 0.00978991i
\(514\) −8.23529 + 5.44170i −0.363243 + 0.240023i
\(515\) −24.5350 + 35.0790i −1.08114 + 1.54577i
\(516\) −15.8730 + 5.97544i −0.698770 + 0.263054i
\(517\) −5.27747 7.26381i −0.232103 0.319462i
\(518\) −1.58052 + 1.98385i −0.0694442 + 0.0871654i
\(519\) 33.1322 15.9578i 1.45434 0.700468i
\(520\) 37.0222 20.8591i 1.62353 0.914730i
\(521\) 21.1640 29.1297i 0.927211 1.27620i −0.0337264 0.999431i \(-0.510737\pi\)
0.960937 0.276766i \(-0.0892625\pi\)
\(522\) 3.45574 + 0.309000i 0.151253 + 0.0135246i
\(523\) 4.92361 15.1533i 0.215295 0.662609i −0.783838 0.620965i \(-0.786741\pi\)
0.999133 0.0416433i \(-0.0132593\pi\)
\(524\) 2.08514 + 9.09563i 0.0910897 + 0.397344i
\(525\) 7.15583 + 6.96418i 0.312306 + 0.303942i
\(526\) −26.1551 + 32.8295i −1.14042 + 1.43143i
\(527\) 30.1874 + 9.80849i 1.31499 + 0.427265i
\(528\) −12.6610 4.72349i −0.550999 0.205564i
\(529\) 11.2563 + 8.17821i 0.489406 + 0.355574i
\(530\) −0.423981 + 16.0419i −0.0184166 + 0.696817i
\(531\) 26.7622 7.38888i 1.16138 0.320650i
\(532\) −0.431339 + 0.0988828i −0.0187009 + 0.00428711i
\(533\) 36.2469 26.3349i 1.57003 1.14069i
\(534\) −3.96884 2.36842i −0.171748 0.102492i
\(535\) −24.8213 + 0.446337i −1.07312 + 0.0192968i
\(536\) 18.0440 + 17.2026i 0.779384 + 0.743038i
\(537\) 0.352479 + 2.60109i 0.0152106 + 0.112245i
\(538\) −11.6319 4.35922i −0.501489 0.187939i
\(539\) −3.41786 + 10.5191i −0.147218 + 0.453090i
\(540\) −21.9595 + 7.60145i −0.944985 + 0.327114i
\(541\) −1.36593 4.20391i −0.0587261 0.180740i 0.917390 0.397989i \(-0.130292\pi\)
−0.976116 + 0.217249i \(0.930292\pi\)
\(542\) 0.156386 3.51962i 0.00671737 0.151181i
\(543\) −4.83473 0.877114i −0.207478 0.0376406i
\(544\) 26.1544 11.2527i 1.12136 0.482454i
\(545\) 9.37675 3.23420i 0.401656 0.138538i
\(546\) −18.8986 + 1.71098i −0.808787 + 0.0732230i
\(547\) 17.8802 + 12.9908i 0.764504 + 0.555445i 0.900288 0.435294i \(-0.143355\pi\)
−0.135785 + 0.990738i \(0.543355\pi\)
\(548\) −23.7631 2.11590i −1.01511 0.0903866i
\(549\) −17.3811 6.52116i −0.741806 0.278317i
\(550\) 4.15108 + 13.1525i 0.177002 + 0.560826i
\(551\) 0.156933 0.00668558
\(552\) −24.0541 + 17.5308i −1.02381 + 0.746160i
\(553\) −7.03345 + 9.68071i −0.299093 + 0.411666i
\(554\) −27.4039 + 7.57706i −1.16428 + 0.321918i
\(555\) −2.75877 + 5.35590i −0.117103 + 0.227345i
\(556\) −6.10318 + 6.99910i −0.258832 + 0.296828i
\(557\) −19.4137 −0.822586 −0.411293 0.911503i \(-0.634923\pi\)
−0.411293 + 0.911503i \(0.634923\pi\)
\(558\) 10.5012 24.6082i 0.444550 1.04175i
\(559\) −31.2862 + 10.1655i −1.32326 + 0.429955i
\(560\) −7.31082 + 7.27356i −0.308938 + 0.307364i
\(561\) −8.05691 + 14.9741i −0.340163 + 0.632208i
\(562\) 6.60134 + 2.47394i 0.278461 + 0.104357i
\(563\) 13.4481 4.36954i 0.566768 0.184154i −0.0115960 0.999933i \(-0.503691\pi\)
0.578364 + 0.815779i \(0.303691\pi\)
\(564\) 4.22679 15.3757i 0.177980 0.647432i
\(565\) −14.1101 + 4.86680i −0.593615 + 0.204748i
\(566\) 9.77121 26.0731i 0.410715 1.09593i
\(567\) 10.3354 + 0.928038i 0.434047 + 0.0389739i
\(568\) 16.2532 33.8739i 0.681971 1.42132i
\(569\) −23.4750 32.3105i −0.984121 1.35453i −0.934579 0.355755i \(-0.884224\pi\)
−0.0495421 0.998772i \(-0.515776\pi\)
\(570\) −0.958700 + 0.430924i −0.0401555 + 0.0180494i
\(571\) 11.5702 15.9250i 0.484196 0.666439i −0.495108 0.868831i \(-0.664872\pi\)
0.979305 + 0.202392i \(0.0648716\pi\)
\(572\) −24.1109 10.2783i −1.00813 0.429759i
\(573\) 10.4942 19.5039i 0.438400 0.814786i
\(574\) −6.77530 + 8.50427i −0.282796 + 0.354961i
\(575\) 29.2103 + 8.34262i 1.21815 + 0.347911i
\(576\) −7.48399 22.8033i −0.311833 0.950137i
\(577\) −23.0353 7.48463i −0.958973 0.311589i −0.212616 0.977136i \(-0.568198\pi\)
−0.746356 + 0.665547i \(0.768198\pi\)
\(578\) −3.14077 11.3592i −0.130639 0.472482i
\(579\) −14.9448 + 14.2902i −0.621085 + 0.593880i
\(580\) 3.10344 1.93488i 0.128864 0.0803413i
\(581\) −9.16960 12.6209i −0.380419 0.523602i
\(582\) −16.2681 + 14.2281i −0.674333 + 0.589776i
\(583\) 8.00773 5.81796i 0.331646 0.240955i
\(584\) 1.82763 13.6386i 0.0756280 0.564371i
\(585\) −43.2236 + 12.7744i −1.78707 + 0.528158i
\(586\) −21.9687 + 14.5164i −0.907518 + 0.599669i
\(587\) −16.6636 + 5.41433i −0.687781 + 0.223473i −0.631999 0.774969i \(-0.717765\pi\)
−0.0557820 + 0.998443i \(0.517765\pi\)
\(588\) −18.3840 + 6.92071i −0.758143 + 0.285405i
\(589\) 0.373969 1.15096i 0.0154091 0.0474244i
\(590\) 17.8212 23.2133i 0.733687 0.955678i
\(591\) 4.58895 + 33.8638i 0.188764 + 1.39297i
\(592\) −5.48488 2.93808i −0.225427 0.120754i
\(593\) −25.7406 −1.05704 −0.528520 0.848921i \(-0.677253\pi\)
−0.528520 + 0.848921i \(0.677253\pi\)
\(594\) 11.9670 + 7.88851i 0.491013 + 0.323669i
\(595\) 7.81500 + 10.3595i 0.320384 + 0.424698i
\(596\) −0.657928 0.280471i −0.0269498 0.0114885i
\(597\) −2.91499 + 2.78731i −0.119303 + 0.114077i
\(598\) −48.1653 + 31.8266i −1.96963 + 1.30149i
\(599\) 9.57286 0.391137 0.195568 0.980690i \(-0.437345\pi\)
0.195568 + 0.980690i \(0.437345\pi\)
\(600\) −13.6459 + 20.3418i −0.557090 + 0.830452i
\(601\) 34.1729 1.39394 0.696971 0.717100i \(-0.254531\pi\)
0.696971 + 0.717100i \(0.254531\pi\)
\(602\) 6.66070 4.40125i 0.271470 0.179382i
\(603\) −14.5694 22.0667i −0.593311 0.898625i
\(604\) −19.2868 8.22184i −0.784768 0.334542i
\(605\) −9.22180 + 13.1849i −0.374919 + 0.536041i
\(606\) 3.50990 15.4154i 0.142580 0.626209i
\(607\) −16.0111 −0.649872 −0.324936 0.945736i \(-0.605343\pi\)
−0.324936 + 0.945736i \(0.605343\pi\)
\(608\) −0.429031 0.997189i −0.0173995 0.0404414i
\(609\) −1.61835 + 0.219306i −0.0655788 + 0.00888673i
\(610\) −18.7638 + 5.55314i −0.759726 + 0.224840i
\(611\) 9.55748 29.4149i 0.386654 1.19000i
\(612\) −29.7084 + 5.42372i −1.20089 + 0.219241i
\(613\) −31.0863 + 10.1005i −1.25556 + 0.407957i −0.859911 0.510444i \(-0.829481\pi\)
−0.395652 + 0.918401i \(0.629481\pi\)
\(614\) −31.9026 + 21.0806i −1.28749 + 0.850743i
\(615\) −11.8262 + 22.9594i −0.476877 + 0.925812i
\(616\) 6.30454 + 0.844834i 0.254017 + 0.0340393i
\(617\) 5.92441 4.30433i 0.238508 0.173286i −0.462111 0.886822i \(-0.652908\pi\)
0.700618 + 0.713536i \(0.252908\pi\)
\(618\) 30.8717 + 35.2979i 1.24184 + 1.41989i
\(619\) −1.30111 1.79082i −0.0522959 0.0719792i 0.782068 0.623193i \(-0.214165\pi\)
−0.834364 + 0.551214i \(0.814165\pi\)
\(620\) −6.79504 27.3716i −0.272896 1.09927i
\(621\) 29.0276 12.4123i 1.16484 0.498090i
\(622\) 4.74487 + 17.1608i 0.190252 + 0.688084i
\(623\) 2.06905 + 0.672277i 0.0828949 + 0.0269342i
\(624\) −12.4718 44.8480i −0.499272 1.79536i
\(625\) 24.9354 1.79646i 0.997415 0.0718583i
\(626\) 13.0154 16.3367i 0.520198 0.652946i
\(627\) 0.570919 + 0.307186i 0.0228003 + 0.0122678i
\(628\) −9.96981 4.25007i −0.397839 0.169596i
\(629\) −4.60207 + 6.33421i −0.183497 + 0.252562i
\(630\) 9.28425 5.78356i 0.369893 0.230423i
\(631\) 14.1022 + 19.4100i 0.561400 + 0.772700i 0.991504 0.130079i \(-0.0415231\pi\)
−0.430104 + 0.902779i \(0.641523\pi\)
\(632\) −26.4651 12.6984i −1.05273 0.505113i
\(633\) −14.1197 29.3160i −0.561209 1.16521i
\(634\) 7.56238 20.1791i 0.300341 0.801415i
\(635\) −4.45172 1.35846i −0.176661 0.0539090i
\(636\) 16.9504 + 4.65968i 0.672126 + 0.184768i
\(637\) −36.2354 + 11.7736i −1.43570 + 0.466486i
\(638\) −2.11230 0.791610i −0.0836266 0.0313402i
\(639\) −24.8431 + 31.1590i −0.982780 + 1.23263i
\(640\) −20.7790 14.4303i −0.821361 0.570409i
\(641\) 8.66816 2.81645i 0.342372 0.111243i −0.132784 0.991145i \(-0.542392\pi\)
0.475156 + 0.879902i \(0.342392\pi\)
\(642\) −6.03739 + 26.5161i −0.238277 + 1.04651i
\(643\) 9.01478 0.355508 0.177754 0.984075i \(-0.443117\pi\)
0.177754 + 0.984075i \(0.443117\pi\)
\(644\) 9.20797 10.5597i 0.362845 0.416109i
\(645\) 13.4674 13.3492i 0.530279 0.525625i
\(646\) −1.31658 + 0.364028i −0.0518002 + 0.0143225i
\(647\) 26.1377 35.9754i 1.02758 1.41434i 0.120828 0.992673i \(-0.461445\pi\)
0.906751 0.421667i \(-0.138555\pi\)
\(648\) 2.32335 + 25.3496i 0.0912698 + 0.995826i
\(649\) −18.0508 −0.708555
\(650\) −28.2491 + 38.1991i −1.10802 + 1.49829i
\(651\) −2.24809 + 12.3917i −0.0881096 + 0.485668i
\(652\) 37.4979 + 3.33886i 1.46853 + 0.130760i
\(653\) 13.2233 + 9.60732i 0.517469 + 0.375963i 0.815650 0.578546i \(-0.196380\pi\)
−0.298181 + 0.954509i \(0.596380\pi\)
\(654\) −0.979699 10.8213i −0.0383093 0.423146i
\(655\) −6.28313 8.32887i −0.245502 0.325436i
\(656\) −23.5123 12.5948i −0.918002 0.491744i
\(657\) −5.12699 + 13.6651i −0.200023 + 0.533128i
\(658\) −0.333182 + 7.49858i −0.0129888 + 0.292325i
\(659\) −1.96936 6.06106i −0.0767153 0.236106i 0.905344 0.424680i \(-0.139613\pi\)
−0.982059 + 0.188574i \(0.939613\pi\)
\(660\) 15.0776 0.964241i 0.586896 0.0375330i
\(661\) 8.11021 24.9607i 0.315451 0.970858i −0.660118 0.751162i \(-0.729494\pi\)
0.975569 0.219695i \(-0.0705064\pi\)
\(662\) 15.0039 + 5.62290i 0.583143 + 0.218540i
\(663\) −58.0438 + 7.86563i −2.25423 + 0.305476i
\(664\) 26.4067 27.6984i 1.02478 1.07491i
\(665\) 0.394977 0.297963i 0.0153166 0.0115545i
\(666\) 4.97255 + 4.33930i 0.192682 + 0.168144i
\(667\) −4.01962 + 2.92042i −0.155640 + 0.113079i
\(668\) 26.1425 5.99306i 1.01148 0.231878i
\(669\) −0.0194626 + 0.00937396i −0.000752469 + 0.000362418i
\(670\) −26.2718 9.31054i −1.01497 0.359697i
\(671\) 9.76462 + 7.09441i 0.376959 + 0.273877i
\(672\) 5.81784 + 9.68381i 0.224428 + 0.373561i
\(673\) −22.3063 7.24774i −0.859843 0.279380i −0.154280 0.988027i \(-0.549306\pi\)
−0.705563 + 0.708647i \(0.749306\pi\)
\(674\) 8.38881 10.5295i 0.323125 0.405582i
\(675\) 18.9354 17.7891i 0.728823 0.684702i
\(676\) −14.3650 62.6617i −0.552499 2.41007i
\(677\) −9.38554 + 28.8857i −0.360716 + 1.11017i 0.591905 + 0.806008i \(0.298376\pi\)
−0.952621 + 0.304161i \(0.901624\pi\)
\(678\) 1.47424 + 16.2838i 0.0566180 + 0.625376i
\(679\) 5.97961 8.23023i 0.229476 0.315847i
\(680\) −21.5479 + 23.4314i −0.826325 + 0.898552i
\(681\) −5.02609 10.4354i −0.192600 0.399885i
\(682\) −10.8393 + 13.6053i −0.415057 + 0.520974i
\(683\) 12.3519 + 17.0010i 0.472633 + 0.650523i 0.977068 0.212926i \(-0.0682993\pi\)
−0.504435 + 0.863449i \(0.668299\pi\)
\(684\) 0.206791 + 1.13270i 0.00790684 + 0.0433097i
\(685\) 25.2153 8.69719i 0.963427 0.332302i
\(686\) 17.2373 11.3900i 0.658123 0.434873i
\(687\) −6.37780 47.0644i −0.243328 1.79562i
\(688\) 13.5609 + 14.1296i 0.517005 + 0.538686i
\(689\) 32.4274 + 10.5363i 1.23539 + 0.401402i
\(690\) 16.5365 28.8782i 0.629534 1.09938i
\(691\) 18.9625 6.16128i 0.721366 0.234386i 0.0747509 0.997202i \(-0.476184\pi\)
0.646616 + 0.762816i \(0.276184\pi\)
\(692\) −32.0051 27.9083i −1.21665 1.06091i
\(693\) −6.31679 2.36998i −0.239955 0.0900281i
\(694\) −0.890338 + 20.0379i −0.0337968 + 0.760629i
\(695\) 3.03030 9.93038i 0.114946 0.376681i
\(696\) −1.24365 3.80834i −0.0471403 0.144355i
\(697\) −19.7279 + 27.1532i −0.747249 + 1.02850i
\(698\) 2.67800 1.76956i 0.101364 0.0669789i
\(699\) −12.9222 2.34435i −0.488764 0.0886714i
\(700\) 4.13723 10.7622i 0.156372 0.406772i
\(701\) 8.84209i 0.333961i 0.985960 + 0.166981i \(0.0534017\pi\)
−0.985960 + 0.166981i \(0.946598\pi\)
\(702\) 2.24633 + 49.3225i 0.0847823 + 1.86156i
\(703\) 0.241505 + 0.175463i 0.00910853 + 0.00661773i
\(704\) 0.744623 + 15.5861i 0.0280640 + 0.587425i
\(705\) 2.71131 + 17.6209i 0.102114 + 0.663640i
\(706\) −32.8831 1.46109i −1.23757 0.0549887i
\(707\) 7.44192i 0.279882i
\(708\) −20.0133 25.0442i −0.752146 0.941219i
\(709\) 4.47318 + 13.7670i 0.167994 + 0.517032i 0.999244 0.0388658i \(-0.0123745\pi\)
−0.831250 + 0.555898i \(0.812374\pi\)
\(710\) −1.10982 + 41.9915i −0.0416507 + 1.57591i
\(711\) 24.3439 + 19.4095i 0.912969 + 0.727913i
\(712\) −0.708817 + 5.28952i −0.0265640 + 0.198233i
\(713\) 11.8399 + 36.4394i 0.443407 + 1.36467i
\(714\) 13.0683 5.59384i 0.489070 0.209344i
\(715\) 29.2993 0.526860i 1.09573 0.0197034i
\(716\) 2.60041 1.55704i 0.0971820 0.0581893i
\(717\) 0.0682929 0.0328925i 0.00255045 0.00122839i
\(718\) −9.24768 7.36757i −0.345120 0.274955i
\(719\) −12.7318 + 9.25021i −0.474817 + 0.344975i −0.799316 0.600911i \(-0.794804\pi\)
0.324499 + 0.945886i \(0.394804\pi\)
\(720\) 18.0547 + 19.8501i 0.672860 + 0.739770i
\(721\) −17.8577 12.9744i −0.665054 0.483190i
\(722\) −7.14689 25.8481i −0.265980 0.961968i
\(723\) −2.11736 + 3.93521i −0.0787455 + 0.146352i
\(724\) 1.26781 + 5.53033i 0.0471177 + 0.205533i
\(725\) −2.28290 + 3.39224i −0.0847846 + 0.125985i
\(726\) 11.6035 + 13.2671i 0.430647 + 0.492390i
\(727\) 9.09742 27.9990i 0.337404 1.03842i −0.628121 0.778116i \(-0.716176\pi\)
0.965525 0.260309i \(-0.0838243\pi\)
\(728\) 10.4108 + 19.2803i 0.385848 + 0.714577i
\(729\) 3.61595 26.7568i 0.133924 0.990992i
\(730\) 4.36592 + 14.7523i 0.161590 + 0.546006i
\(731\) 19.9367 14.4849i 0.737386 0.535742i
\(732\) 0.983241 + 21.4135i 0.0363416 + 0.791464i
\(733\) −11.2498 15.4840i −0.415520 0.571915i 0.549034 0.835800i \(-0.314996\pi\)
−0.964554 + 0.263886i \(0.914996\pi\)
\(734\) 2.39172 6.38196i 0.0882801 0.235562i
\(735\) 15.5979 15.4609i 0.575335 0.570286i
\(736\) 29.5460 + 17.5576i 1.08908 + 0.647180i
\(737\) 5.31260 + 16.3505i 0.195692 + 0.602279i
\(738\) 21.3161 + 18.6015i 0.784655 + 0.684730i
\(739\) −26.1757 8.50501i −0.962890 0.312862i −0.214947 0.976626i \(-0.568958\pi\)
−0.747942 + 0.663764i \(0.768958\pi\)
\(740\) 6.93923 + 0.492308i 0.255091 + 0.0180976i
\(741\) 0.299893 + 2.21304i 0.0110169 + 0.0812980i
\(742\) −8.26655 0.367305i −0.303475 0.0134842i
\(743\) 39.0306i 1.43190i −0.698154 0.715948i \(-0.745995\pi\)
0.698154 0.715948i \(-0.254005\pi\)
\(744\) −30.8942 + 0.0457612i −1.13264 + 0.00167769i
\(745\) 0.799506 0.0143767i 0.0292916 0.000526722i
\(746\) 8.79289 2.43119i 0.321931 0.0890123i
\(747\) −33.8733 + 22.3646i −1.23936 + 0.818280i
\(748\) 19.5572 + 1.74140i 0.715083 + 0.0636718i
\(749\) 12.8009i 0.467733i
\(750\) 4.63138 26.9917i 0.169114 0.985596i
\(751\) 5.29480i 0.193210i −0.995323 0.0966050i \(-0.969202\pi\)
0.995323 0.0966050i \(-0.0307984\pi\)
\(752\) −18.2415 + 2.50639i −0.665201 + 0.0913988i
\(753\) 27.2754 + 28.5249i 0.993971 + 1.03950i
\(754\) −2.07080 7.48945i −0.0754140 0.272750i
\(755\) 23.4371 0.421445i 0.852962 0.0153380i
\(756\) −3.71538 11.3918i −0.135127 0.414314i
\(757\) 20.4730i 0.744104i −0.928212 0.372052i \(-0.878654\pi\)
0.928212 0.372052i \(-0.121346\pi\)
\(758\) −1.46713 + 33.0191i −0.0532885 + 1.19931i
\(759\) −20.3398 + 2.75629i −0.738287 + 0.100047i
\(760\) 0.893369 + 0.821559i 0.0324059 + 0.0298011i
\(761\) 11.8334 + 3.84491i 0.428961 + 0.139378i 0.515537 0.856867i \(-0.327593\pi\)
−0.0865760 + 0.996245i \(0.527593\pi\)
\(762\) −2.61276 + 4.37828i −0.0946505 + 0.158608i
\(763\) 1.58048 + 4.86421i 0.0572171 + 0.176096i
\(764\) −25.4734 2.26818i −0.921595 0.0820599i
\(765\) 27.8376 19.1070i 1.00647 0.690816i
\(766\) 29.4632 + 11.0417i 1.06455 + 0.398953i
\(767\) −36.5484 50.3046i −1.31969 1.81639i
\(768\) −20.7991 + 18.3138i −0.750524 + 0.660843i
\(769\) −1.84303 + 1.33904i −0.0664614 + 0.0482870i −0.620520 0.784191i \(-0.713078\pi\)
0.554059 + 0.832478i \(0.313078\pi\)
\(770\) −6.81933 + 2.01817i −0.245752 + 0.0727298i
\(771\) −8.35483 8.73756i −0.300892 0.314676i
\(772\) 21.9638 + 9.36305i 0.790495 + 0.336983i
\(773\) −5.23724 + 16.1186i −0.188370 + 0.579744i −0.999990 0.00444175i \(-0.998586\pi\)
0.811620 +