Properties

Label 70.2.k.a.33.3
Level $70$
Weight $2$
Character 70.33
Analytic conductor $0.559$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 70 = 2 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 70.k (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.558952814149\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{12})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} + \cdots)\)
Defining polynomial: \(x^{16} + 10 x^{14} + 61 x^{12} + 266 x^{10} + 852 x^{8} + 1438 x^{6} + 1933 x^{4} + 3038 x^{2} + 2401\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 33.3
Root \(1.01089 + 0.750919i\) of defining polynomial
Character \(\chi\) \(=\) 70.33
Dual form 70.2.k.a.17.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.258819 + 0.965926i) q^{2} +(-0.279864 - 0.0749894i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(0.774197 + 2.09777i) q^{5} -0.289737i q^{6} +(2.64273 - 0.126334i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(-2.52538 - 1.45803i) q^{9} +O(q^{10})\) \(q+(0.258819 + 0.965926i) q^{2} +(-0.279864 - 0.0749894i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(0.774197 + 2.09777i) q^{5} -0.289737i q^{6} +(2.64273 - 0.126334i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(-2.52538 - 1.45803i) q^{9} +(-1.82591 + 1.29076i) q^{10} +(-2.81288 - 4.87205i) q^{11} +(0.279864 - 0.0749894i) q^{12} +(1.42962 - 1.42962i) q^{13} +(0.806019 + 2.51999i) q^{14} +(-0.0593598 - 0.645146i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-1.37400 + 5.12784i) q^{17} +(0.754730 - 2.81669i) q^{18} +(1.94590 - 3.37040i) q^{19} +(-1.71936 - 1.42962i) q^{20} +(-0.749081 - 0.162821i) q^{21} +(3.97801 - 3.97801i) q^{22} +(1.08562 - 0.290892i) q^{23} +(0.144868 + 0.250919i) q^{24} +(-3.80124 + 3.24817i) q^{25} +(1.75092 + 1.01089i) q^{26} +(1.21205 + 1.21205i) q^{27} +(-2.22551 + 1.43078i) q^{28} +3.15502i q^{29} +(0.607800 - 0.224313i) q^{30} +(-3.33287 + 1.92423i) q^{31} +(0.965926 + 0.258819i) q^{32} +(0.421872 + 1.57445i) q^{33} -5.30873 q^{34} +(2.31101 + 5.44603i) q^{35} +2.91605 q^{36} +(-1.30444 - 4.86824i) q^{37} +(3.75919 + 1.00727i) q^{38} +(-0.507306 + 0.292893i) q^{39} +(0.935904 - 2.03078i) q^{40} +7.21050i q^{41} +(-0.0366036 - 0.765697i) q^{42} +(1.85669 + 1.85669i) q^{43} +(4.87205 + 2.81288i) q^{44} +(1.10346 - 6.42644i) q^{45} +(0.561961 + 0.973344i) q^{46} +(-5.69475 + 1.52590i) q^{47} +(-0.204875 + 0.204875i) q^{48} +(6.96808 - 0.667734i) q^{49} +(-4.12132 - 2.83103i) q^{50} +(0.769067 - 1.33206i) q^{51} +(-0.523277 + 1.95290i) q^{52} +(-0.357978 + 1.33599i) q^{53} +(-0.857049 + 1.48445i) q^{54} +(8.04270 - 9.67269i) q^{55} +(-1.95803 - 1.77936i) q^{56} +(-0.797333 + 0.797333i) q^{57} +(-3.04751 + 0.816578i) q^{58} +(-2.73923 - 4.74448i) q^{59} +(0.373980 + 0.529033i) q^{60} +(-3.99172 - 2.30462i) q^{61} +(-2.72127 - 2.72127i) q^{62} +(-6.85809 - 3.53413i) q^{63} +1.00000i q^{64} +(4.10581 + 1.89220i) q^{65} +(-1.41161 + 0.814995i) q^{66} +(-0.816193 - 0.218698i) q^{67} +(-1.37400 - 5.12784i) q^{68} -0.325641 q^{69} +(-4.66232 + 3.64180i) q^{70} +4.77710 q^{71} +(0.754730 + 2.81669i) q^{72} +(5.42104 + 1.45256i) q^{73} +(4.36475 - 2.51999i) q^{74} +(1.30741 - 0.623993i) q^{75} +3.89180i q^{76} +(-8.04920 - 12.5202i) q^{77} +(-0.414214 - 0.414214i) q^{78} +(-5.41079 - 3.12392i) q^{79} +(2.20382 + 0.378409i) q^{80} +(4.12576 + 7.14603i) q^{81} +(-6.96481 + 1.86622i) q^{82} +(-5.67281 + 5.67281i) q^{83} +(0.730133 - 0.233533i) q^{84} +(-11.8207 + 1.08763i) q^{85} +(-1.31288 + 2.27397i) q^{86} +(0.236593 - 0.882976i) q^{87} +(-1.45605 + 5.43407i) q^{88} +(5.96090 - 10.3246i) q^{89} +(6.49307 - 0.597426i) q^{90} +(3.59749 - 3.95871i) q^{91} +(-0.794732 + 0.794732i) q^{92} +(1.07705 - 0.288594i) q^{93} +(-2.94782 - 5.10577i) q^{94} +(8.57682 + 1.47269i) q^{95} +(-0.250919 - 0.144868i) q^{96} +(6.63103 + 6.63103i) q^{97} +(2.44845 + 6.55783i) q^{98} +16.4050i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16 q - 12 q^{5} + 8 q^{7} + O(q^{10}) \) \( 16 q - 12 q^{5} + 8 q^{7} - 12 q^{10} - 12 q^{11} + 16 q^{15} + 8 q^{16} - 36 q^{17} - 8 q^{18} - 28 q^{21} - 8 q^{22} - 4 q^{23} + 12 q^{25} + 12 q^{26} + 4 q^{28} + 20 q^{30} + 24 q^{31} + 48 q^{33} + 8 q^{35} - 8 q^{36} + 4 q^{37} + 24 q^{38} + 36 q^{42} - 8 q^{43} - 12 q^{45} - 8 q^{46} + 12 q^{47} - 32 q^{50} - 16 q^{51} - 28 q^{53} - 4 q^{56} + 8 q^{57} - 32 q^{58} + 8 q^{60} - 12 q^{61} - 36 q^{63} - 8 q^{65} + 32 q^{67} - 36 q^{68} - 12 q^{70} + 16 q^{71} - 8 q^{72} - 12 q^{73} - 48 q^{75} + 16 q^{77} + 16 q^{78} - 12 q^{80} - 48 q^{82} + 24 q^{85} + 12 q^{86} - 24 q^{87} - 4 q^{88} - 16 q^{91} + 8 q^{92} + 28 q^{93} + 20 q^{95} + 12 q^{96} + 40 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/70\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(57\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{3}{4}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.258819 + 0.965926i 0.183013 + 0.683013i
\(3\) −0.279864 0.0749894i −0.161580 0.0432952i 0.177122 0.984189i \(-0.443321\pi\)
−0.338702 + 0.940894i \(0.609988\pi\)
\(4\) −0.866025 + 0.500000i −0.433013 + 0.250000i
\(5\) 0.774197 + 2.09777i 0.346231 + 0.938149i
\(6\) 0.289737i 0.118285i
\(7\) 2.64273 0.126334i 0.998859 0.0477497i
\(8\) −0.707107 0.707107i −0.250000 0.250000i
\(9\) −2.52538 1.45803i −0.841792 0.486009i
\(10\) −1.82591 + 1.29076i −0.577403 + 0.408174i
\(11\) −2.81288 4.87205i −0.848115 1.46898i −0.882888 0.469583i \(-0.844404\pi\)
0.0347729 0.999395i \(-0.488929\pi\)
\(12\) 0.279864 0.0749894i 0.0807899 0.0216476i
\(13\) 1.42962 1.42962i 0.396505 0.396505i −0.480493 0.876998i \(-0.659542\pi\)
0.876998 + 0.480493i \(0.159542\pi\)
\(14\) 0.806019 + 2.51999i 0.215418 + 0.673495i
\(15\) −0.0593598 0.645146i −0.0153266 0.166576i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) −1.37400 + 5.12784i −0.333244 + 1.24368i 0.572516 + 0.819893i \(0.305967\pi\)
−0.905760 + 0.423790i \(0.860699\pi\)
\(18\) 0.754730 2.81669i 0.177892 0.663900i
\(19\) 1.94590 3.37040i 0.446420 0.773223i −0.551729 0.834023i \(-0.686032\pi\)
0.998150 + 0.0608002i \(0.0193652\pi\)
\(20\) −1.71936 1.42962i −0.384460 0.319673i
\(21\) −0.749081 0.162821i −0.163463 0.0355304i
\(22\) 3.97801 3.97801i 0.848115 0.848115i
\(23\) 1.08562 0.290892i 0.226368 0.0606552i −0.143852 0.989599i \(-0.545949\pi\)
0.370220 + 0.928944i \(0.379282\pi\)
\(24\) 0.144868 + 0.250919i 0.0295711 + 0.0512187i
\(25\) −3.80124 + 3.24817i −0.760248 + 0.649633i
\(26\) 1.75092 + 1.01089i 0.343384 + 0.198253i
\(27\) 1.21205 + 1.21205i 0.233259 + 0.233259i
\(28\) −2.22551 + 1.43078i −0.420581 + 0.270391i
\(29\) 3.15502i 0.585872i 0.956132 + 0.292936i \(0.0946322\pi\)
−0.956132 + 0.292936i \(0.905368\pi\)
\(30\) 0.607800 0.224313i 0.110969 0.0409538i
\(31\) −3.33287 + 1.92423i −0.598601 + 0.345602i −0.768491 0.639861i \(-0.778992\pi\)
0.169890 + 0.985463i \(0.445659\pi\)
\(32\) 0.965926 + 0.258819i 0.170753 + 0.0457532i
\(33\) 0.421872 + 1.57445i 0.0734386 + 0.274076i
\(34\) −5.30873 −0.910440
\(35\) 2.31101 + 5.44603i 0.390633 + 0.920547i
\(36\) 2.91605 0.486009
\(37\) −1.30444 4.86824i −0.214449 0.800334i −0.986360 0.164603i \(-0.947366\pi\)
0.771911 0.635731i \(-0.219301\pi\)
\(38\) 3.75919 + 1.00727i 0.609822 + 0.163401i
\(39\) −0.507306 + 0.292893i −0.0812340 + 0.0469005i
\(40\) 0.935904 2.03078i 0.147979 0.321095i
\(41\) 7.21050i 1.12609i 0.826426 + 0.563046i \(0.190371\pi\)
−0.826426 + 0.563046i \(0.809629\pi\)
\(42\) −0.0366036 0.765697i −0.00564806 0.118150i
\(43\) 1.85669 + 1.85669i 0.283143 + 0.283143i 0.834361 0.551218i \(-0.185837\pi\)
−0.551218 + 0.834361i \(0.685837\pi\)
\(44\) 4.87205 + 2.81288i 0.734489 + 0.424058i
\(45\) 1.10346 6.42644i 0.164494 0.957998i
\(46\) 0.561961 + 0.973344i 0.0828566 + 0.143512i
\(47\) −5.69475 + 1.52590i −0.830665 + 0.222576i −0.649004 0.760785i \(-0.724814\pi\)
−0.181661 + 0.983361i \(0.558147\pi\)
\(48\) −0.204875 + 0.204875i −0.0295711 + 0.0295711i
\(49\) 6.96808 0.667734i 0.995440 0.0953905i
\(50\) −4.12132 2.83103i −0.582843 0.400368i
\(51\) 0.769067 1.33206i 0.107691 0.186526i
\(52\) −0.523277 + 1.95290i −0.0725655 + 0.270818i
\(53\) −0.357978 + 1.33599i −0.0491720 + 0.183512i −0.986144 0.165892i \(-0.946950\pi\)
0.936972 + 0.349405i \(0.113616\pi\)
\(54\) −0.857049 + 1.48445i −0.116630 + 0.202008i
\(55\) 8.04270 9.67269i 1.08448 1.30426i
\(56\) −1.95803 1.77936i −0.261652 0.237777i
\(57\) −0.797333 + 0.797333i −0.105609 + 0.105609i
\(58\) −3.04751 + 0.816578i −0.400158 + 0.107222i
\(59\) −2.73923 4.74448i −0.356617 0.617679i 0.630776 0.775965i \(-0.282737\pi\)
−0.987393 + 0.158286i \(0.949403\pi\)
\(60\) 0.373980 + 0.529033i 0.0482806 + 0.0682979i
\(61\) −3.99172 2.30462i −0.511088 0.295077i 0.222193 0.975003i \(-0.428678\pi\)
−0.733281 + 0.679926i \(0.762012\pi\)
\(62\) −2.72127 2.72127i −0.345602 0.345602i
\(63\) −6.85809 3.53413i −0.864038 0.445259i
\(64\) 1.00000i 0.125000i
\(65\) 4.10581 + 1.89220i 0.509264 + 0.234699i
\(66\) −1.41161 + 0.814995i −0.173758 + 0.100319i
\(67\) −0.816193 0.218698i −0.0997138 0.0267182i 0.208617 0.977997i \(-0.433104\pi\)
−0.308331 + 0.951279i \(0.599770\pi\)
\(68\) −1.37400 5.12784i −0.166622 0.621842i
\(69\) −0.325641 −0.0392026
\(70\) −4.66232 + 3.64180i −0.557254 + 0.435279i
\(71\) 4.77710 0.566937 0.283469 0.958982i \(-0.408515\pi\)
0.283469 + 0.958982i \(0.408515\pi\)
\(72\) 0.754730 + 2.81669i 0.0889458 + 0.331950i
\(73\) 5.42104 + 1.45256i 0.634485 + 0.170010i 0.561704 0.827338i \(-0.310146\pi\)
0.0727807 + 0.997348i \(0.476813\pi\)
\(74\) 4.36475 2.51999i 0.507391 0.292943i
\(75\) 1.30741 0.623993i 0.150967 0.0720525i
\(76\) 3.89180i 0.446420i
\(77\) −8.04920 12.5202i −0.917291 1.42681i
\(78\) −0.414214 0.414214i −0.0469005 0.0469005i
\(79\) −5.41079 3.12392i −0.608761 0.351469i 0.163719 0.986507i \(-0.447651\pi\)
−0.772481 + 0.635038i \(0.780984\pi\)
\(80\) 2.20382 + 0.378409i 0.246394 + 0.0423074i
\(81\) 4.12576 + 7.14603i 0.458418 + 0.794003i
\(82\) −6.96481 + 1.86622i −0.769135 + 0.206089i
\(83\) −5.67281 + 5.67281i −0.622672 + 0.622672i −0.946214 0.323542i \(-0.895126\pi\)
0.323542 + 0.946214i \(0.395126\pi\)
\(84\) 0.730133 0.233533i 0.0796641 0.0254806i
\(85\) −11.8207 + 1.08763i −1.28214 + 0.117970i
\(86\) −1.31288 + 2.27397i −0.141571 + 0.245209i
\(87\) 0.236593 0.882976i 0.0253654 0.0946650i
\(88\) −1.45605 + 5.43407i −0.155216 + 0.579273i
\(89\) 5.96090 10.3246i 0.631855 1.09440i −0.355318 0.934746i \(-0.615627\pi\)
0.987172 0.159659i \(-0.0510393\pi\)
\(90\) 6.49307 0.597426i 0.684429 0.0629742i
\(91\) 3.59749 3.95871i 0.377120 0.414986i
\(92\) −0.794732 + 0.794732i −0.0828566 + 0.0828566i
\(93\) 1.07705 0.288594i 0.111685 0.0299258i
\(94\) −2.94782 5.10577i −0.304044 0.526620i
\(95\) 8.57682 + 1.47269i 0.879963 + 0.151095i
\(96\) −0.250919 0.144868i −0.0256094 0.0147856i
\(97\) 6.63103 + 6.63103i 0.673279 + 0.673279i 0.958471 0.285191i \(-0.0920572\pi\)
−0.285191 + 0.958471i \(0.592057\pi\)
\(98\) 2.44845 + 6.55783i 0.247331 + 0.662440i
\(99\) 16.4050i 1.64877i
\(100\) 1.66789 4.71361i 0.166789 0.471361i
\(101\) 13.9423 8.04960i 1.38731 0.800965i 0.394301 0.918981i \(-0.370987\pi\)
0.993012 + 0.118016i \(0.0376535\pi\)
\(102\) 1.48572 + 0.398099i 0.147109 + 0.0394176i
\(103\) 5.09084 + 18.9993i 0.501616 + 1.87206i 0.489271 + 0.872132i \(0.337263\pi\)
0.0123445 + 0.999924i \(0.496071\pi\)
\(104\) −2.02179 −0.198253
\(105\) −0.238376 1.69745i −0.0232631 0.165654i
\(106\) −1.38312 −0.134340
\(107\) 0.724955 + 2.70557i 0.0700840 + 0.261557i 0.992074 0.125657i \(-0.0401040\pi\)
−0.921990 + 0.387214i \(0.873437\pi\)
\(108\) −1.65569 0.443641i −0.159319 0.0426894i
\(109\) 5.11895 2.95543i 0.490306 0.283078i −0.234395 0.972141i \(-0.575311\pi\)
0.724701 + 0.689063i \(0.241978\pi\)
\(110\) 11.4247 + 5.26517i 1.08930 + 0.502015i
\(111\) 1.46027i 0.138602i
\(112\) 1.21196 2.35184i 0.114519 0.222228i
\(113\) −13.5818 13.5818i −1.27767 1.27767i −0.941970 0.335697i \(-0.891028\pi\)
−0.335697 0.941970i \(-0.608972\pi\)
\(114\) −0.976529 0.563800i −0.0914604 0.0528047i
\(115\) 1.45071 + 2.05218i 0.135279 + 0.191367i
\(116\) −1.57751 2.73232i −0.146468 0.253690i
\(117\) −5.69475 + 1.52590i −0.526480 + 0.141070i
\(118\) 3.87385 3.87385i 0.356617 0.356617i
\(119\) −2.98330 + 13.7251i −0.273478 + 1.25818i
\(120\) −0.414214 + 0.498161i −0.0378124 + 0.0454757i
\(121\) −10.3246 + 17.8827i −0.938599 + 1.62570i
\(122\) 1.19296 4.45219i 0.108006 0.403082i
\(123\) 0.540712 2.01796i 0.0487543 0.181954i
\(124\) 1.92423 3.33287i 0.172801 0.299300i
\(125\) −9.75680 5.45939i −0.872674 0.488303i
\(126\) 1.63871 7.53911i 0.145988 0.671637i
\(127\) 4.63487 4.63487i 0.411278 0.411278i −0.470906 0.882184i \(-0.656073\pi\)
0.882184 + 0.470906i \(0.156073\pi\)
\(128\) −0.965926 + 0.258819i −0.0853766 + 0.0228766i
\(129\) −0.380390 0.658854i −0.0334915 0.0580089i
\(130\) −0.765062 + 4.45565i −0.0671004 + 0.390786i
\(131\) −6.66437 3.84768i −0.582269 0.336173i 0.179766 0.983709i \(-0.442466\pi\)
−0.762035 + 0.647536i \(0.775799\pi\)
\(132\) −1.15258 1.15258i −0.100319 0.100319i
\(133\) 4.71670 9.15290i 0.408990 0.793657i
\(134\) 0.844985i 0.0729956i
\(135\) −1.60423 + 3.48096i −0.138070 + 0.299594i
\(136\) 4.59749 2.65436i 0.394232 0.227610i
\(137\) 8.53471 + 2.28687i 0.729170 + 0.195380i 0.604259 0.796788i \(-0.293469\pi\)
0.124910 + 0.992168i \(0.460136\pi\)
\(138\) −0.0842822 0.314545i −0.00717458 0.0267759i
\(139\) −11.0631 −0.938361 −0.469180 0.883102i \(-0.655451\pi\)
−0.469180 + 0.883102i \(0.655451\pi\)
\(140\) −4.72441 3.56089i −0.399286 0.300950i
\(141\) 1.70818 0.143855
\(142\) 1.23640 + 4.61432i 0.103757 + 0.387225i
\(143\) −10.9865 2.94383i −0.918740 0.246176i
\(144\) −2.52538 + 1.45803i −0.210448 + 0.121502i
\(145\) −6.61848 + 2.44260i −0.549635 + 0.202847i
\(146\) 5.61227i 0.464475i
\(147\) −2.00019 0.335657i −0.164973 0.0276846i
\(148\) 3.56380 + 3.56380i 0.292943 + 0.292943i
\(149\) 4.37243 + 2.52443i 0.358204 + 0.206809i 0.668293 0.743899i \(-0.267025\pi\)
−0.310089 + 0.950708i \(0.600359\pi\)
\(150\) 0.941113 + 1.10136i 0.0768416 + 0.0899256i
\(151\) −6.72142 11.6418i −0.546981 0.947399i −0.998479 0.0551270i \(-0.982444\pi\)
0.451498 0.892272i \(-0.350890\pi\)
\(152\) −3.75919 + 1.00727i −0.304911 + 0.0817006i
\(153\) 10.9464 10.9464i 0.884963 0.884963i
\(154\) 10.0103 11.0154i 0.806651 0.887645i
\(155\) −6.61688 5.50184i −0.531481 0.441918i
\(156\) 0.292893 0.507306i 0.0234502 0.0406170i
\(157\) −0.285443 + 1.06529i −0.0227808 + 0.0850191i −0.976380 0.216059i \(-0.930680\pi\)
0.953600 + 0.301078i \(0.0973464\pi\)
\(158\) 1.61706 6.03495i 0.128646 0.480115i
\(159\) 0.200370 0.347052i 0.0158904 0.0275230i
\(160\) 0.204875 + 2.22666i 0.0161968 + 0.176033i
\(161\) 2.83227 0.905902i 0.223214 0.0713951i
\(162\) −5.83471 + 5.83471i −0.458418 + 0.458418i
\(163\) 12.7899 3.42705i 1.00179 0.268428i 0.279592 0.960119i \(-0.409801\pi\)
0.722193 + 0.691691i \(0.243134\pi\)
\(164\) −3.60525 6.24448i −0.281523 0.487612i
\(165\) −2.97621 + 2.10392i −0.231698 + 0.163790i
\(166\) −6.94775 4.01128i −0.539250 0.311336i
\(167\) 4.70680 + 4.70680i 0.364223 + 0.364223i 0.865365 0.501142i \(-0.167087\pi\)
−0.501142 + 0.865365i \(0.667087\pi\)
\(168\) 0.414548 + 0.644812i 0.0319831 + 0.0497483i
\(169\) 8.91237i 0.685567i
\(170\) −4.11000 11.1365i −0.315223 0.854128i
\(171\) −9.82827 + 5.67435i −0.751586 + 0.433929i
\(172\) −2.53629 0.679597i −0.193390 0.0518188i
\(173\) −1.82586 6.81421i −0.138818 0.518075i −0.999953 0.00969875i \(-0.996913\pi\)
0.861135 0.508376i \(-0.169754\pi\)
\(174\) 0.914124 0.0692996
\(175\) −9.63531 + 9.06426i −0.728361 + 0.685194i
\(176\) −5.62576 −0.424058
\(177\) 0.410826 + 1.53322i 0.0308796 + 0.115244i
\(178\) 11.5156 + 3.08559i 0.863129 + 0.231275i
\(179\) −1.91075 + 1.10317i −0.142816 + 0.0824550i −0.569706 0.821849i \(-0.692943\pi\)
0.426889 + 0.904304i \(0.359609\pi\)
\(180\) 2.25760 + 6.11719i 0.168271 + 0.455949i
\(181\) 4.11867i 0.306139i −0.988215 0.153069i \(-0.951084\pi\)
0.988215 0.153069i \(-0.0489158\pi\)
\(182\) 4.75492 + 2.45032i 0.352458 + 0.181630i
\(183\) 0.944318 + 0.944318i 0.0698060 + 0.0698060i
\(184\) −0.973344 0.561961i −0.0717559 0.0414283i
\(185\) 9.20253 6.50539i 0.676584 0.478286i
\(186\) 0.557521 + 0.965654i 0.0408794 + 0.0708052i
\(187\) 28.8480 7.72980i 2.10957 0.565259i
\(188\) 4.16885 4.16885i 0.304044 0.304044i
\(189\) 3.35625 + 3.05000i 0.244131 + 0.221855i
\(190\) 0.797333 + 8.66573i 0.0578446 + 0.628678i
\(191\) 8.60117 14.8977i 0.622359 1.07796i −0.366686 0.930345i \(-0.619508\pi\)
0.989045 0.147613i \(-0.0471589\pi\)
\(192\) 0.0749894 0.279864i 0.00541190 0.0201975i
\(193\) −3.12327 + 11.6562i −0.224818 + 0.839032i 0.757659 + 0.652650i \(0.226343\pi\)
−0.982477 + 0.186382i \(0.940324\pi\)
\(194\) −4.68885 + 8.12132i −0.336640 + 0.583077i
\(195\) −1.00718 0.837452i −0.0721254 0.0599712i
\(196\) −5.70067 + 4.06231i −0.407190 + 0.290165i
\(197\) 14.3135 14.3135i 1.01979 1.01979i 0.0199932 0.999800i \(-0.493636\pi\)
0.999800 0.0199932i \(-0.00636444\pi\)
\(198\) −15.8460 + 4.24593i −1.12613 + 0.301745i
\(199\) 3.76653 + 6.52383i 0.267002 + 0.462462i 0.968086 0.250617i \(-0.0806335\pi\)
−0.701084 + 0.713079i \(0.747300\pi\)
\(200\) 4.98468 + 0.391082i 0.352470 + 0.0276537i
\(201\) 0.212023 + 0.122412i 0.0149550 + 0.00863425i
\(202\) 11.3839 + 11.3839i 0.800965 + 0.800965i
\(203\) 0.398585 + 8.33786i 0.0279752 + 0.585203i
\(204\) 1.53813i 0.107691i
\(205\) −15.1259 + 5.58235i −1.05644 + 0.389888i
\(206\) −17.0343 + 9.83476i −1.18684 + 0.685220i
\(207\) −3.16574 0.848257i −0.220034 0.0589579i
\(208\) −0.523277 1.95290i −0.0362827 0.135409i
\(209\) −21.8944 −1.51446
\(210\) 1.57791 0.669586i 0.108886 0.0462058i
\(211\) 19.5766 1.34771 0.673854 0.738865i \(-0.264638\pi\)
0.673854 + 0.738865i \(0.264638\pi\)
\(212\) −0.357978 1.33599i −0.0245860 0.0917562i
\(213\) −1.33694 0.358232i −0.0916056 0.0245456i
\(214\) −2.42575 + 1.40051i −0.165821 + 0.0957366i
\(215\) −2.45746 + 5.33235i −0.167597 + 0.363663i
\(216\) 1.71410i 0.116630i
\(217\) −8.56478 + 5.50629i −0.581415 + 0.373791i
\(218\) 4.17960 + 4.17960i 0.283078 + 0.283078i
\(219\) −1.40823 0.813041i −0.0951593 0.0549402i
\(220\) −2.12884 + 12.3981i −0.143526 + 0.835883i
\(221\) 5.36656 + 9.29516i 0.360994 + 0.625260i
\(222\) −1.41051 + 0.377945i −0.0946672 + 0.0253660i
\(223\) −1.46027 + 1.46027i −0.0977867 + 0.0977867i −0.754308 0.656521i \(-0.772027\pi\)
0.656521 + 0.754308i \(0.272027\pi\)
\(224\) 2.58538 + 0.561961i 0.172743 + 0.0375476i
\(225\) 14.3355 2.66053i 0.955698 0.177369i
\(226\) 9.60377 16.6342i 0.638833 1.10649i
\(227\) −4.82525 + 18.0081i −0.320263 + 1.19524i 0.598726 + 0.800954i \(0.295674\pi\)
−0.918989 + 0.394283i \(0.870993\pi\)
\(228\) 0.291844 1.08918i 0.0193278 0.0721325i
\(229\) 2.00384 3.47074i 0.132417 0.229353i −0.792191 0.610274i \(-0.791059\pi\)
0.924608 + 0.380920i \(0.124393\pi\)
\(230\) −1.60678 + 1.93242i −0.105948 + 0.127420i
\(231\) 1.31380 + 4.10755i 0.0864419 + 0.270257i
\(232\) 2.23093 2.23093i 0.146468 0.146468i
\(233\) 13.2637 3.55400i 0.868934 0.232830i 0.203307 0.979115i \(-0.434831\pi\)
0.665627 + 0.746285i \(0.268164\pi\)
\(234\) −2.94782 5.10577i −0.192705 0.333775i
\(235\) −7.60984 10.7649i −0.496412 0.702225i
\(236\) 4.74448 + 2.73923i 0.308839 + 0.178308i
\(237\) 1.28003 + 1.28003i 0.0831466 + 0.0831466i
\(238\) −14.0296 + 0.670673i −0.909401 + 0.0434732i
\(239\) 19.6621i 1.27183i −0.771758 0.635916i \(-0.780622\pi\)
0.771758 0.635916i \(-0.219378\pi\)
\(240\) −0.588393 0.271166i −0.0379806 0.0175037i
\(241\) −5.09667 + 2.94256i −0.328305 + 0.189547i −0.655088 0.755552i \(-0.727369\pi\)
0.326783 + 0.945099i \(0.394035\pi\)
\(242\) −19.9456 5.34440i −1.28215 0.343551i
\(243\) −1.94970 7.27638i −0.125073 0.466780i
\(244\) 4.60924 0.295077
\(245\) 6.79541 + 14.1004i 0.434143 + 0.900844i
\(246\) 2.08915 0.133199
\(247\) −2.03649 7.60029i −0.129579 0.483595i
\(248\) 3.71733 + 0.996056i 0.236051 + 0.0632496i
\(249\) 2.01302 1.16222i 0.127570 0.0736525i
\(250\) 2.74812 10.8373i 0.173806 0.685413i
\(251\) 7.09950i 0.448116i −0.974576 0.224058i \(-0.928069\pi\)
0.974576 0.224058i \(-0.0719306\pi\)
\(252\) 7.70635 0.368396i 0.485454 0.0232068i
\(253\) −4.47097 4.47097i −0.281088 0.281088i
\(254\) 5.67653 + 3.27735i 0.356177 + 0.205639i
\(255\) 3.38977 + 0.582044i 0.212275 + 0.0364490i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −9.54998 + 2.55891i −0.595711 + 0.159620i −0.544062 0.839045i \(-0.683114\pi\)
−0.0516491 + 0.998665i \(0.516448\pi\)
\(258\) 0.537952 0.537952i 0.0334915 0.0334915i
\(259\) −4.06231 12.7007i −0.252420 0.789181i
\(260\) −4.50184 + 0.414214i −0.279192 + 0.0256884i
\(261\) 4.60010 7.96760i 0.284739 0.493182i
\(262\) 1.99170 7.43314i 0.123048 0.459221i
\(263\) 3.55829 13.2797i 0.219413 0.818861i −0.765153 0.643849i \(-0.777337\pi\)
0.984566 0.175013i \(-0.0559967\pi\)
\(264\) 0.814995 1.41161i 0.0501595 0.0868788i
\(265\) −3.07974 + 0.283366i −0.189187 + 0.0174071i
\(266\) 10.0618 + 2.18704i 0.616929 + 0.134096i
\(267\) −2.44248 + 2.44248i −0.149477 + 0.149477i
\(268\) 0.816193 0.218698i 0.0498569 0.0133591i
\(269\) 13.2510 + 22.9514i 0.807928 + 1.39937i 0.914296 + 0.405046i \(0.132745\pi\)
−0.106368 + 0.994327i \(0.533922\pi\)
\(270\) −3.77756 0.648630i −0.229895 0.0394744i
\(271\) −11.0824 6.39844i −0.673209 0.388678i 0.124082 0.992272i \(-0.460401\pi\)
−0.797292 + 0.603594i \(0.793735\pi\)
\(272\) 3.75384 + 3.75384i 0.227610 + 0.227610i
\(273\) −1.30367 + 0.838129i −0.0789018 + 0.0507259i
\(274\) 8.83578i 0.533789i
\(275\) 26.5177 + 9.38313i 1.59908 + 0.565824i
\(276\) 0.282014 0.162821i 0.0169752 0.00980065i
\(277\) −19.4184 5.20313i −1.16674 0.312626i −0.377083 0.926180i \(-0.623073\pi\)
−0.789653 + 0.613554i \(0.789739\pi\)
\(278\) −2.86334 10.6861i −0.171732 0.640912i
\(279\) 11.2223 0.671863
\(280\) 2.21679 5.48506i 0.132478 0.327795i
\(281\) −14.1498 −0.844107 −0.422054 0.906571i \(-0.638691\pi\)
−0.422054 + 0.906571i \(0.638691\pi\)
\(282\) 0.442111 + 1.64998i 0.0263273 + 0.0982548i
\(283\) −26.1454 7.00563i −1.55418 0.416442i −0.623366 0.781930i \(-0.714235\pi\)
−0.930816 + 0.365489i \(0.880902\pi\)
\(284\) −4.13709 + 2.38855i −0.245491 + 0.141734i
\(285\) −2.28991 1.05532i −0.135643 0.0625121i
\(286\) 11.3741i 0.672564i
\(287\) 0.910931 + 19.0554i 0.0537706 + 1.12481i
\(288\) −2.06196 2.06196i −0.121502 0.121502i
\(289\) −9.68442 5.59130i −0.569672 0.328900i
\(290\) −4.07236 5.76077i −0.239137 0.338284i
\(291\) −1.35853 2.35305i −0.0796385 0.137938i
\(292\) −5.42104 + 1.45256i −0.317242 + 0.0850048i
\(293\) −17.1191 + 17.1191i −1.00011 + 1.00011i −0.000106876 1.00000i \(0.500034\pi\)
−1.00000 0.000106876i \(0.999966\pi\)
\(294\) −0.193467 2.01891i −0.0112832 0.117745i
\(295\) 7.83211 9.41941i 0.456003 0.548420i
\(296\) −2.51999 + 4.36475i −0.146471 + 0.253696i
\(297\) 2.49582 9.31453i 0.144822 0.540484i
\(298\) −1.30674 + 4.87682i −0.0756974 + 0.282506i
\(299\) 1.13616 1.96790i 0.0657061 0.113806i
\(300\) −0.820253 + 1.19410i −0.0473573 + 0.0689413i
\(301\) 5.14131 + 4.67218i 0.296340 + 0.269300i
\(302\) 9.50552 9.50552i 0.546981 0.546981i
\(303\) −4.50559 + 1.20727i −0.258840 + 0.0693558i
\(304\) −1.94590 3.37040i −0.111605 0.193306i
\(305\) 1.74418 10.1579i 0.0998713 0.581641i
\(306\) 13.4065 + 7.74027i 0.766401 + 0.442482i
\(307\) −17.2974 17.2974i −0.987217 0.987217i 0.0127019 0.999919i \(-0.495957\pi\)
−0.999919 + 0.0127019i \(0.995957\pi\)
\(308\) 13.2309 + 6.81819i 0.753900 + 0.388502i
\(309\) 5.69898i 0.324204i
\(310\) 3.60179 7.81540i 0.204568 0.443885i
\(311\) −9.51095 + 5.49115i −0.539316 + 0.311374i −0.744802 0.667286i \(-0.767456\pi\)
0.205486 + 0.978660i \(0.434123\pi\)
\(312\) 0.565826 + 0.151613i 0.0320336 + 0.00858338i
\(313\) 7.61212 + 28.4088i 0.430262 + 1.60576i 0.752156 + 0.658985i \(0.229014\pi\)
−0.321893 + 0.946776i \(0.604319\pi\)
\(314\) −1.10287 −0.0622383
\(315\) 2.10427 17.1228i 0.118562 0.964760i
\(316\) 6.24784 0.351469
\(317\) 1.11136 + 4.14766i 0.0624203 + 0.232956i 0.990087 0.140453i \(-0.0448558\pi\)
−0.927667 + 0.373408i \(0.878189\pi\)
\(318\) 0.387086 + 0.103719i 0.0217067 + 0.00581629i
\(319\) 15.3714 8.87468i 0.860633 0.496887i
\(320\) −2.09777 + 0.774197i −0.117269 + 0.0432789i
\(321\) 0.811556i 0.0452966i
\(322\) 1.60808 + 2.50129i 0.0896147 + 0.139392i
\(323\) 14.6092 + 14.6092i 0.812878 + 0.812878i
\(324\) −7.14603 4.12576i −0.397001 0.229209i
\(325\) −0.790684 + 10.0780i −0.0438593 + 0.559025i
\(326\) 6.62056 + 11.4671i 0.366679 + 0.635106i
\(327\) −1.65424 + 0.443251i −0.0914795 + 0.0245119i
\(328\) 5.09860 5.09860i 0.281523 0.281523i
\(329\) −14.8569 + 4.75200i −0.819089 + 0.261986i
\(330\) −2.80253 2.33027i −0.154274 0.128277i
\(331\) −17.7249 + 30.7005i −0.974250 + 1.68745i −0.291863 + 0.956460i \(0.594275\pi\)
−0.682387 + 0.730991i \(0.739058\pi\)
\(332\) 2.07639 7.74921i 0.113957 0.425293i
\(333\) −3.80382 + 14.1960i −0.208448 + 0.777939i
\(334\) −3.32821 + 5.76463i −0.182112 + 0.315426i
\(335\) −0.173116 1.88150i −0.00945835 0.102797i
\(336\) −0.515547 + 0.567312i −0.0281254 + 0.0309494i
\(337\) −12.1473 + 12.1473i −0.661708 + 0.661708i −0.955782 0.294075i \(-0.904989\pi\)
0.294075 + 0.955782i \(0.404989\pi\)
\(338\) −8.60869 + 2.30669i −0.468251 + 0.125468i
\(339\) 2.78257 + 4.81955i 0.151128 + 0.261762i
\(340\) 9.69326 6.85229i 0.525691 0.371617i
\(341\) 18.7499 + 10.8253i 1.01536 + 0.586221i
\(342\) −8.02475 8.02475i −0.433929 0.433929i
\(343\) 18.3304 2.64495i 0.989750 0.142814i
\(344\) 2.62576i 0.141571i
\(345\) −0.252110 0.683119i −0.0135732 0.0367779i
\(346\) 6.10945 3.52729i 0.328446 0.189628i
\(347\) −8.67040 2.32323i −0.465452 0.124717i 0.0184687 0.999829i \(-0.494121\pi\)
−0.483920 + 0.875112i \(0.660788\pi\)
\(348\) 0.236593 + 0.882976i 0.0126827 + 0.0473325i
\(349\) 26.0251 1.39309 0.696546 0.717512i \(-0.254719\pi\)
0.696546 + 0.717512i \(0.254719\pi\)
\(350\) −11.2492 6.96099i −0.601295 0.372081i
\(351\) 3.46554 0.184977
\(352\) −1.45605 5.43407i −0.0776079 0.289637i
\(353\) 9.62659 + 2.57944i 0.512372 + 0.137290i 0.505736 0.862688i \(-0.331221\pi\)
0.00663577 + 0.999978i \(0.497888\pi\)
\(354\) −1.37465 + 0.793655i −0.0730619 + 0.0421823i
\(355\) 3.69841 + 10.0212i 0.196291 + 0.531872i
\(356\) 11.9218i 0.631855i
\(357\) 1.86416 3.61745i 0.0986615 0.191456i
\(358\) −1.56012 1.56012i −0.0824550 0.0824550i
\(359\) −10.0235 5.78705i −0.529019 0.305429i 0.211598 0.977357i \(-0.432133\pi\)
−0.740617 + 0.671928i \(0.765467\pi\)
\(360\) −5.32445 + 3.76392i −0.280623 + 0.198376i
\(361\) 1.92693 + 3.33754i 0.101417 + 0.175660i
\(362\) 3.97833 1.06599i 0.209097 0.0560273i
\(363\) 4.23050 4.23050i 0.222044 0.222044i
\(364\) −1.13616 + 5.22709i −0.0595512 + 0.273974i
\(365\) 1.14981 + 12.4966i 0.0601840 + 0.654104i
\(366\) −0.667734 + 1.15655i −0.0349030 + 0.0604538i
\(367\) 4.32083 16.1256i 0.225545 0.841747i −0.756640 0.653832i \(-0.773160\pi\)
0.982185 0.187915i \(-0.0601730\pi\)
\(368\) 0.290892 1.08562i 0.0151638 0.0565921i
\(369\) 10.5131 18.2092i 0.547290 0.947935i
\(370\) 8.66551 + 7.20525i 0.450499 + 0.374583i
\(371\) −0.777258 + 3.57589i −0.0403532 + 0.185651i
\(372\) −0.788454 + 0.788454i −0.0408794 + 0.0408794i
\(373\) −3.07061 + 0.822767i −0.158990 + 0.0426013i −0.337436 0.941348i \(-0.609560\pi\)
0.178446 + 0.983950i \(0.442893\pi\)
\(374\) 14.9328 + 25.8644i 0.772158 + 1.33742i
\(375\) 2.32118 + 2.25954i 0.119865 + 0.116682i
\(376\) 5.10577 + 2.94782i 0.263310 + 0.152022i
\(377\) 4.51047 + 4.51047i 0.232301 + 0.232301i
\(378\) −2.07742 + 4.03129i −0.106851 + 0.207347i
\(379\) 7.15349i 0.367450i −0.982978 0.183725i \(-0.941184\pi\)
0.982978 0.183725i \(-0.0588156\pi\)
\(380\) −8.16409 + 3.01302i −0.418809 + 0.154565i
\(381\) −1.64470 + 0.949568i −0.0842605 + 0.0486478i
\(382\) 16.6162 + 4.45229i 0.850158 + 0.227799i
\(383\) −3.77704 14.0961i −0.192998 0.720278i −0.992776 0.119982i \(-0.961716\pi\)
0.799778 0.600296i \(-0.204950\pi\)
\(384\) 0.289737 0.0147856
\(385\) 20.0327 26.5784i 1.02096 1.35456i
\(386\) −12.0674 −0.614214
\(387\) −1.98174 7.39595i −0.100737 0.375957i
\(388\) −9.05816 2.42713i −0.459858 0.123219i
\(389\) −5.36634 + 3.09826i −0.272084 + 0.157088i −0.629834 0.776729i \(-0.716877\pi\)
0.357750 + 0.933817i \(0.383544\pi\)
\(390\) 0.548240 1.18961i 0.0277612 0.0602380i
\(391\) 5.96659i 0.301744i
\(392\) −5.39934 4.45502i −0.272708 0.225012i
\(393\) 1.57658 + 1.57658i 0.0795282 + 0.0795282i
\(394\) 17.5304 + 10.1212i 0.883167 + 0.509897i
\(395\) 2.36424 13.7691i 0.118958 0.692798i
\(396\) −8.20251 14.2072i −0.412191 0.713937i
\(397\) 2.81652 0.754685i 0.141357 0.0378766i −0.187447 0.982275i \(-0.560021\pi\)
0.328804 + 0.944398i \(0.393354\pi\)
\(398\) −5.32668 + 5.32668i −0.267002 + 0.267002i
\(399\) −2.00641 + 2.20787i −0.100446 + 0.110532i
\(400\) 0.912375 + 4.91605i 0.0456187 + 0.245803i
\(401\) 9.98528 17.2950i 0.498641 0.863672i −0.501358 0.865240i \(-0.667166\pi\)
0.999999 + 0.00156835i \(0.000499221\pi\)
\(402\) −0.0633649 + 0.236481i −0.00316035 + 0.0117946i
\(403\) −2.01381 + 7.51565i −0.100315 + 0.374381i
\(404\) −8.04960 + 13.9423i −0.400483 + 0.693656i
\(405\) −11.7965 + 14.1873i −0.586175 + 0.704973i
\(406\) −7.95060 + 2.54300i −0.394581 + 0.126207i
\(407\) −20.0491 + 20.0491i −0.993796 + 0.993796i
\(408\) −1.48572 + 0.398099i −0.0735543 + 0.0197088i
\(409\) −17.1791 29.7550i −0.849451 1.47129i −0.881699 0.471812i \(-0.843600\pi\)
0.0322484 0.999480i \(-0.489733\pi\)
\(410\) −9.30702 13.1657i −0.459641 0.650209i
\(411\) −2.21707 1.28003i −0.109360 0.0631390i
\(412\) −13.9084 13.9084i −0.685220 0.685220i
\(413\) −7.83843 12.1923i −0.385704 0.599946i
\(414\) 3.27741i 0.161076i
\(415\) −16.2921 7.50836i −0.799748 0.368571i
\(416\) 1.75092 1.01089i 0.0858459 0.0495631i
\(417\) 3.09617 + 0.829616i 0.151620 + 0.0406265i
\(418\) −5.66668 21.1483i −0.277166 1.03440i
\(419\) 31.1360 1.52109 0.760547 0.649283i \(-0.224931\pi\)
0.760547 + 0.649283i \(0.224931\pi\)
\(420\) 1.05516 + 1.35085i 0.0514868 + 0.0659146i
\(421\) −33.6728 −1.64111 −0.820555 0.571567i \(-0.806336\pi\)
−0.820555 + 0.571567i \(0.806336\pi\)
\(422\) 5.06679 + 18.9095i 0.246648 + 0.920501i
\(423\) 16.6062 + 4.44962i 0.807421 + 0.216348i
\(424\) 1.19782 0.691560i 0.0581711 0.0335851i
\(425\) −11.4332 23.9551i −0.554590 1.16199i
\(426\) 1.38410i 0.0670599i
\(427\) −10.8402 5.58621i −0.524594 0.270336i
\(428\) −1.98061 1.98061i −0.0957366 0.0957366i
\(429\) 2.85398 + 1.64775i 0.137792 + 0.0795540i
\(430\) −5.78669 0.993610i −0.279059 0.0479162i
\(431\) 7.37284 + 12.7701i 0.355137 + 0.615116i 0.987141 0.159849i \(-0.0511008\pi\)
−0.632004 + 0.774965i \(0.717767\pi\)
\(432\) 1.65569 0.443641i 0.0796595 0.0213447i
\(433\) 9.98256 9.98256i 0.479731 0.479731i −0.425315 0.905046i \(-0.639837\pi\)
0.905046 + 0.425315i \(0.139837\pi\)
\(434\) −7.53539 6.84781i −0.361710 0.328706i
\(435\) 2.03545 0.187281i 0.0975922 0.00897944i
\(436\) −2.95543 + 5.11895i −0.141539 + 0.245153i
\(437\) 1.13210 4.22504i 0.0541555 0.202111i
\(438\) 0.420861 1.57067i 0.0201095 0.0750498i
\(439\) −19.2142 + 33.2800i −0.917046 + 1.58837i −0.113167 + 0.993576i \(0.536100\pi\)
−0.803878 + 0.594794i \(0.797234\pi\)
\(440\) −12.5267 + 1.15258i −0.597186 + 0.0549470i
\(441\) −18.5706 8.47336i −0.884314 0.403494i
\(442\) −7.58946 + 7.58946i −0.360994 + 0.360994i
\(443\) −5.54016 + 1.48448i −0.263221 + 0.0705299i −0.388016 0.921653i \(-0.626839\pi\)
0.124795 + 0.992183i \(0.460173\pi\)
\(444\) −0.730133 1.26463i −0.0346506 0.0600166i
\(445\) 26.2735 + 4.51132i 1.24548 + 0.213857i
\(446\) −1.78845 1.03256i −0.0846857 0.0488933i
\(447\) −1.03438 1.03438i −0.0489247 0.0489247i
\(448\) 0.126334 + 2.64273i 0.00596872 + 0.124857i
\(449\) 7.30267i 0.344635i −0.985042 0.172317i \(-0.944875\pi\)
0.985042 0.172317i \(-0.0551254\pi\)
\(450\) 6.28017 + 13.1584i 0.296050 + 0.620293i
\(451\) 35.1299 20.2823i 1.65420 0.955055i
\(452\) 18.5531 + 4.97128i 0.872663 + 0.233829i
\(453\) 1.00807 + 3.76217i 0.0473633 + 0.176762i
\(454\) −18.6433 −0.874974
\(455\) 11.0896 + 4.48188i 0.519889 + 0.210114i
\(456\) 1.12760 0.0528047
\(457\) 1.33183 + 4.97047i 0.0623006 + 0.232509i 0.990055 0.140683i \(-0.0449299\pi\)
−0.927754 + 0.373192i \(0.878263\pi\)
\(458\) 3.87111 + 1.03726i 0.180885 + 0.0484680i
\(459\) −7.88056 + 4.54984i −0.367833 + 0.212368i
\(460\) −2.28244 1.05188i −0.106419 0.0490443i
\(461\) 29.4110i 1.36981i −0.728634 0.684903i \(-0.759845\pi\)
0.728634 0.684903i \(-0.240155\pi\)
\(462\) −3.62755 + 2.33215i −0.168769 + 0.108501i
\(463\) −4.04625 4.04625i −0.188045 0.188045i 0.606805 0.794851i \(-0.292451\pi\)
−0.794851 + 0.606805i \(0.792451\pi\)
\(464\) 2.73232 + 1.57751i 0.126845 + 0.0732340i
\(465\) 1.43925 + 2.03596i 0.0667436 + 0.0944156i
\(466\) 6.86580 + 11.8919i 0.318052 + 0.550882i
\(467\) 16.0757 4.30747i 0.743894 0.199326i 0.133086 0.991105i \(-0.457511\pi\)
0.610808 + 0.791779i \(0.290845\pi\)
\(468\) 4.16885 4.16885i 0.192705 0.192705i
\(469\) −2.18461 0.474848i −0.100876 0.0219264i
\(470\) 8.42852 10.1367i 0.388779 0.467571i
\(471\) 0.159770 0.276731i 0.00736184 0.0127511i
\(472\) −1.41793 + 5.29178i −0.0652654 + 0.243574i
\(473\) 3.82325 14.2686i 0.175793 0.656069i
\(474\) −0.905115 + 1.56771i −0.0415733 + 0.0720071i
\(475\) 3.55078 + 19.1323i 0.162921 + 0.877851i
\(476\) −4.27894 13.3779i −0.196125 0.613176i
\(477\) 2.85194 2.85194i 0.130581 0.130581i
\(478\) 18.9921 5.08891i 0.868678 0.232762i
\(479\) −7.69460 13.3274i −0.351575 0.608946i 0.634950 0.772553i \(-0.281021\pi\)
−0.986526 + 0.163607i \(0.947687\pi\)
\(480\) 0.109639 0.638527i 0.00500431 0.0291446i
\(481\) −8.82459 5.09488i −0.402367 0.232306i
\(482\) −4.16141 4.16141i −0.189547 0.189547i
\(483\) −0.860583 + 0.0411396i −0.0391579 + 0.00187191i
\(484\) 20.6492i 0.938599i
\(485\) −8.77662 + 19.0441i −0.398526 + 0.864747i
\(486\) 6.52383 3.76653i 0.295927 0.170853i
\(487\) 34.7656 + 9.31541i 1.57538 + 0.422122i 0.937492 0.348007i \(-0.113142\pi\)
0.637888 + 0.770129i \(0.279808\pi\)
\(488\) 1.19296 + 4.45219i 0.0540028 + 0.201541i
\(489\) −3.83644 −0.173490
\(490\) −11.8612 + 10.2133i −0.535834 + 0.461391i
\(491\) −15.2823 −0.689680 −0.344840 0.938661i \(-0.612067\pi\)
−0.344840 + 0.938661i \(0.612067\pi\)
\(492\) 0.540712 + 2.01796i 0.0243772 + 0.0909768i
\(493\) −16.1784 4.33499i −0.728639 0.195238i
\(494\) 6.81423 3.93420i 0.306587 0.177008i
\(495\) −34.4139 + 12.7007i −1.54679 + 0.570854i
\(496\) 3.84846i 0.172801i
\(497\) 12.6246 0.603509i 0.566290 0.0270711i
\(498\) 1.64362 + 1.64362i 0.0736525 + 0.0736525i
\(499\) 27.3534 + 15.7925i 1.22451 + 0.706969i 0.965875 0.259008i \(-0.0833955\pi\)
0.258630 + 0.965976i \(0.416729\pi\)
\(500\) 11.1793 0.150429i 0.499955 0.00672739i
\(501\) −0.964305 1.67023i −0.0430820 0.0746202i
\(502\) 6.85759 1.83749i 0.306069 0.0820110i
\(503\) −16.9777 + 16.9777i −0.756997 + 0.756997i −0.975775 0.218778i \(-0.929793\pi\)
0.218778 + 0.975775i \(0.429793\pi\)
\(504\) 2.35039 + 7.34841i 0.104695 + 0.327324i
\(505\) 27.6803 + 23.0157i 1.23176 + 1.02419i
\(506\) 3.16146 5.47580i 0.140544 0.243429i
\(507\) 0.668334 2.49426i 0.0296817 0.110774i
\(508\) −1.69648 + 6.33135i −0.0752691 + 0.280908i
\(509\) −10.7571 + 18.6318i −0.476799 + 0.825840i −0.999647 0.0265865i \(-0.991536\pi\)
0.522848 + 0.852426i \(0.324870\pi\)
\(510\) 0.315125 + 3.42491i 0.0139540 + 0.151657i
\(511\) 14.5099 + 3.15388i 0.641879 + 0.139519i
\(512\) 0.707107 0.707107i 0.0312500 0.0312500i
\(513\) 6.44363 1.72657i 0.284493 0.0762297i
\(514\) −4.94343 8.56228i −0.218045 0.377666i
\(515\) −35.9147 + 25.3886i −1.58259 + 1.11875i
\(516\) 0.658854 + 0.380390i 0.0290044 + 0.0167457i
\(517\) 23.4529 + 23.4529i 1.03146 + 1.03146i
\(518\) 11.2165 7.21107i 0.492825 0.316836i
\(519\) 2.04397i 0.0897205i
\(520\) −1.56526 4.24124i −0.0686412 0.185991i
\(521\) 11.4657 6.61973i 0.502322 0.290016i −0.227350 0.973813i \(-0.573006\pi\)
0.729672 + 0.683798i \(0.239673\pi\)
\(522\) 8.88670 + 2.38118i 0.388960 + 0.104222i
\(523\) −6.97006 26.0126i −0.304779 1.13745i −0.933135 0.359526i \(-0.882938\pi\)
0.628356 0.777926i \(-0.283728\pi\)
\(524\) 7.69535 0.336173
\(525\) 3.37630 1.81422i 0.147354 0.0791789i
\(526\) 13.7482 0.599448
\(527\) −5.28779 19.7343i −0.230340 0.859640i
\(528\) 1.57445 + 0.421872i 0.0685191 + 0.0183596i
\(529\) −18.8246 + 10.8684i −0.818462 + 0.472539i
\(530\) −1.07081 2.90146i −0.0465129 0.126031i
\(531\) 15.9755i 0.693276i
\(532\) 0.491667 + 10.2850i 0.0213165 + 0.445911i
\(533\) 10.3083 + 10.3083i 0.446501 + 0.446501i
\(534\) −2.99141 1.72709i −0.129451 0.0747386i
\(535\) −5.11439 + 3.61543i −0.221114 + 0.156309i
\(536\) 0.422492 + 0.731778i 0.0182489 + 0.0316080i
\(537\) 0.617477 0.165453i 0.0266461 0.00713980i
\(538\) −18.7398 + 18.7398i −0.807928 + 0.807928i
\(539\) −22.8536 32.0706i −0.984374 1.38138i
\(540\) −0.351176 3.81672i −0.0151122 0.164245i
\(541\) 5.66491 9.81190i 0.243553 0.421847i −0.718171 0.695867i \(-0.755020\pi\)
0.961724 + 0.274020i \(0.0883536\pi\)
\(542\) 3.31208 12.3608i 0.142266 0.530943i
\(543\) −0.308857 + 1.15267i −0.0132543 + 0.0494658i
\(544\) −2.65436 + 4.59749i −0.113805 + 0.197116i
\(545\) 10.1629 + 8.45027i 0.435329 + 0.361970i
\(546\) −1.14699 1.04233i −0.0490864 0.0446075i
\(547\) −30.9149 + 30.9149i −1.32182 + 1.32182i −0.409527 + 0.912298i \(0.634306\pi\)
−0.912298 + 0.409527i \(0.865694\pi\)
\(548\) −8.53471 + 2.28687i −0.364585 + 0.0976902i
\(549\) 6.72040 + 11.6401i 0.286820 + 0.496786i
\(550\) −2.20013 + 28.0426i −0.0938140 + 1.19574i
\(551\) 10.6337 + 6.13935i 0.453009 + 0.261545i
\(552\) 0.230263 + 0.230263i 0.00980065 + 0.00980065i
\(553\) −14.6939 7.57212i −0.624850 0.321999i
\(554\) 20.1034i 0.854110i
\(555\) −3.06330 + 1.13053i −0.130030 + 0.0479885i
\(556\) 9.58094 5.53156i 0.406322 0.234590i
\(557\) 25.5003 + 6.83277i 1.08048 + 0.289514i 0.754793 0.655963i \(-0.227737\pi\)
0.325688 + 0.945477i \(0.394404\pi\)
\(558\) 2.90455 + 10.8399i 0.122959 + 0.458891i
\(559\) 5.30873 0.224535
\(560\) 5.87191 + 0.721617i 0.248133 + 0.0304939i
\(561\) −8.65318 −0.365337
\(562\) −3.66224 13.6677i −0.154482 0.576536i
\(563\) 19.5055 + 5.22648i 0.822058 + 0.220270i 0.645246 0.763975i \(-0.276755\pi\)
0.176812 + 0.984245i \(0.443422\pi\)
\(564\) −1.47933 + 0.854092i −0.0622911 + 0.0359638i
\(565\) 17.9764 39.0064i 0.756274 1.64101i
\(566\) 27.0677i 1.13774i
\(567\) 11.8061 + 18.3638i 0.495808 + 0.771208i
\(568\) −3.37792 3.37792i −0.141734 0.141734i
\(569\) −21.4890 12.4067i −0.900867 0.520116i −0.0233856 0.999727i \(-0.507445\pi\)
−0.877481 + 0.479611i \(0.840778\pi\)
\(570\) 0.426693 2.48502i 0.0178722 0.104086i
\(571\) −2.29029 3.96690i −0.0958458 0.166010i 0.814116 0.580703i \(-0.197222\pi\)
−0.909961 + 0.414693i \(0.863889\pi\)
\(572\) 10.9865 2.94383i 0.459370 0.123088i
\(573\) −3.52433 + 3.52433i −0.147231 + 0.147231i
\(574\) −18.1704 + 5.81180i −0.758417 + 0.242580i
\(575\) −3.18185 + 4.63204i −0.132692 + 0.193169i
\(576\) 1.45803 2.52538i 0.0607511 0.105224i
\(577\) −5.11957 + 19.1065i −0.213131 + 0.795414i 0.773686 + 0.633570i \(0.218411\pi\)
−0.986816 + 0.161845i \(0.948256\pi\)
\(578\) 2.89427 10.8016i 0.120386 0.449286i
\(579\) 1.74818 3.02794i 0.0726520 0.125837i
\(580\) 4.51047 5.42460i 0.187287 0.225244i
\(581\) −14.2751 + 15.7084i −0.592229 + 0.651694i
\(582\) 1.92125 1.92125i 0.0796385 0.0796385i
\(583\) 7.51596 2.01390i 0.311279 0.0834071i
\(584\) −2.80614 4.86037i −0.116119 0.201124i
\(585\) −7.60984 10.7649i −0.314628 0.445074i
\(586\) −20.9665 12.1050i −0.866118 0.500053i
\(587\) −19.3782 19.3782i −0.799824 0.799824i 0.183244 0.983068i \(-0.441340\pi\)
−0.983068 + 0.183244i \(0.941340\pi\)
\(588\) 1.90004 0.709407i 0.0783565 0.0292555i
\(589\) 14.9775i 0.617136i
\(590\) 11.1256 + 5.12731i 0.458032 + 0.211088i
\(591\) −5.07919 + 2.93247i −0.208930 + 0.120626i
\(592\) −4.86824 1.30444i −0.200083 0.0536122i
\(593\) 0.837988 + 3.12741i 0.0344121 + 0.128428i 0.980995 0.194033i \(-0.0621568\pi\)
−0.946583 + 0.322460i \(0.895490\pi\)
\(594\) 9.64311 0.395661
\(595\) −31.1017 + 4.36767i −1.27504 + 0.179057i
\(596\) −5.04885 −0.206809
\(597\) −0.564900 2.10824i −0.0231198 0.0862844i
\(598\) 2.19490 + 0.588122i 0.0897562 + 0.0240501i
\(599\) −6.75802 + 3.90174i −0.276125 + 0.159421i −0.631668 0.775239i \(-0.717629\pi\)
0.355543 + 0.934660i \(0.384296\pi\)
\(600\) −1.36571 0.483248i −0.0557548 0.0197285i
\(601\) 31.7170i 1.29377i −0.762590 0.646883i \(-0.776072\pi\)
0.762590 0.646883i \(-0.223928\pi\)
\(602\) −3.18231 + 6.17537i −0.129701 + 0.251689i
\(603\) 1.74233 + 1.74233i 0.0709530 + 0.0709530i
\(604\) 11.6418 + 6.72142i 0.473699 + 0.273491i
\(605\) −45.5070 7.81383i −1.85012 0.317677i
\(606\) −2.33227 4.03960i −0.0947418 0.164098i
\(607\) 0.743495 0.199219i 0.0301775 0.00808604i −0.243699 0.969851i \(-0.578361\pi\)
0.273876 + 0.961765i \(0.411694\pi\)
\(608\) 2.75192 2.75192i 0.111605 0.111605i
\(609\) 0.513702 2.36336i 0.0208162 0.0957682i
\(610\) 10.2632 0.944318i 0.415546 0.0382343i
\(611\) −5.95987 + 10.3228i −0.241110 + 0.417615i
\(612\) −4.00666 + 14.9530i −0.161960 + 0.604441i
\(613\) 9.05898 33.8086i 0.365889 1.36552i −0.500323 0.865839i \(-0.666786\pi\)
0.866212 0.499676i \(-0.166548\pi\)
\(614\) 12.2311 21.1850i 0.493609 0.854955i
\(615\) 4.65183 0.428014i 0.187580 0.0172592i
\(616\) −3.16146 + 14.5447i −0.127379 + 0.586024i
\(617\) 21.5403 21.5403i 0.867179 0.867179i −0.124980 0.992159i \(-0.539887\pi\)
0.992159 + 0.124980i \(0.0398866\pi\)
\(618\) 5.50479 1.47501i 0.221435 0.0593334i
\(619\) 21.6707 + 37.5348i 0.871021 + 1.50865i 0.860942 + 0.508703i \(0.169875\pi\)
0.0100783 + 0.999949i \(0.496792\pi\)
\(620\) 8.48131 + 1.45629i 0.340617 + 0.0584861i
\(621\) 1.66841 + 0.963256i 0.0669509 + 0.0386541i
\(622\) −7.76566 7.76566i −0.311374 0.311374i
\(623\) 14.4487 28.0382i 0.578876 1.12333i
\(624\) 0.585786i 0.0234502i
\(625\) 3.89884 24.6941i 0.155953 0.987764i
\(626\) −25.4707 + 14.7055i −1.01801 + 0.587749i
\(627\) 6.12745 + 1.64184i 0.244707 + 0.0655690i
\(628\) −0.285443 1.06529i −0.0113904 0.0425096i
\(629\) 26.7559 1.06683
\(630\) 17.0840 2.39913i 0.680641 0.0955837i
\(631\) 7.53463 0.299949 0.149974 0.988690i \(-0.452081\pi\)
0.149974 + 0.988690i \(0.452081\pi\)
\(632\) 1.61706 + 6.03495i 0.0643232 + 0.240058i
\(633\) −5.47879 1.46804i −0.217762 0.0583492i
\(634\) −3.71869 + 2.14699i −0.147688 + 0.0852677i
\(635\) 13.3112 + 6.13457i 0.528237 + 0.243443i
\(636\) 0.400741i 0.0158904i
\(637\) 9.00710 10.9163i 0.356874 0.432520i
\(638\) 12.5507 + 12.5507i 0.496887 + 0.496887i
\(639\) −12.0640 6.96513i −0.477243 0.275536i
\(640\) −1.29076 1.82591i −0.0510217 0.0721754i
\(641\) −12.1657 21.0717i −0.480518 0.832281i 0.519233 0.854633i \(-0.326218\pi\)
−0.999750 + 0.0223521i \(0.992885\pi\)
\(642\) 0.783903 0.210046i 0.0309382 0.00828986i
\(643\) 6.21713 6.21713i 0.245180 0.245180i −0.573809 0.818989i \(-0.694535\pi\)
0.818989 + 0.573809i \(0.194535\pi\)
\(644\) −1.99986 + 2.20067i −0.0788057 + 0.0867184i
\(645\) 1.08763 1.30805i 0.0428252 0.0515045i
\(646\) −10.3303 + 17.8925i −0.406439 + 0.703973i
\(647\) 5.33869 19.9243i 0.209886 0.783304i −0.778019 0.628241i \(-0.783775\pi\)
0.987905 0.155063i \(-0.0495581\pi\)
\(648\) 2.13565 7.97036i 0.0838963 0.313105i
\(649\) −15.4102 + 26.6913i −0.604905 + 1.04773i
\(650\) −9.93921 + 1.84463i −0.389848 + 0.0723523i
\(651\) 2.80989 0.898745i 0.110128 0.0352246i
\(652\) −9.36288 + 9.36288i −0.366679 + 0.366679i
\(653\) −25.2490 + 6.76544i −0.988069 + 0.264752i −0.716439 0.697650i \(-0.754229\pi\)
−0.271630 + 0.962402i \(0.587563\pi\)
\(654\) −0.856296 1.48315i −0.0334838 0.0579957i
\(655\) 2.91199 16.9591i 0.113781 0.662649i
\(656\) 6.24448 + 3.60525i 0.243806 + 0.140761i
\(657\) −11.5723 11.5723i −0.451478 0.451478i
\(658\) −8.43533 13.1208i −0.328844 0.511502i
\(659\) 24.2448i 0.944443i −0.881480 0.472222i \(-0.843452\pi\)
0.881480 0.472222i \(-0.156548\pi\)
\(660\) 1.52551 3.31016i 0.0593806 0.128848i
\(661\) 15.5301 8.96630i 0.604050 0.348749i −0.166583 0.986027i \(-0.553273\pi\)
0.770633 + 0.637279i \(0.219940\pi\)
\(662\) −34.2419 9.17510i −1.33085 0.356600i
\(663\) −0.804871 3.00382i −0.0312586 0.116659i
\(664\) 8.02257 0.311336
\(665\) 22.8523 + 2.80839i 0.886174 + 0.108905i
\(666\) −14.6968 −0.569491
\(667\) 0.917769 + 3.42516i 0.0355362 + 0.132623i
\(668\) −6.42961 1.72281i −0.248769 0.0666574i
\(669\) 0.518181 0.299172i 0.0200340 0.0115667i
\(670\) 1.77258 0.654184i 0.0684807 0.0252733i
\(671\) 25.9305i 1.00104i
\(672\) −0.681415 0.351149i −0.0262862 0.0135459i
\(673\) −4.85386 4.85386i −0.187103 0.187103i 0.607340 0.794442i \(-0.292237\pi\)
−0.794442 + 0.607340i \(0.792237\pi\)
\(674\) −14.8774 8.58946i −0.573056 0.330854i
\(675\) −8.54424 0.670353i −0.328868 0.0258019i
\(676\) −4.45619 7.71834i −0.171392 0.296859i
\(677\) −17.8506 + 4.78306i −0.686055 + 0.183828i −0.584976 0.811051i \(-0.698896\pi\)
−0.101079 + 0.994878i \(0.532229\pi\)
\(678\) −3.93514 + 3.93514i −0.151128 + 0.151128i
\(679\) 18.3618 + 16.6863i 0.704660 + 0.640362i
\(680\) 9.12760 + 7.58946i 0.350027 + 0.291043i
\(681\) 2.70083 4.67797i 0.103496 0.179260i
\(682\) −5.60357 + 20.9128i −0.214572 + 0.800793i
\(683\) −6.93661 + 25.8878i −0.265422 + 0.990569i 0.696569 + 0.717489i \(0.254709\pi\)
−0.961992 + 0.273079i \(0.911958\pi\)
\(684\) 5.67435 9.82827i 0.216964 0.375793i
\(685\) 1.81023 + 19.6743i 0.0691653 + 0.751717i
\(686\) 7.29908 + 17.0213i 0.278680 + 0.649875i
\(687\) −0.821071 + 0.821071i −0.0313258 + 0.0313258i
\(688\) 2.53629 0.679597i 0.0966951 0.0259094i
\(689\) 1.39819 + 2.42173i 0.0532667 + 0.0922606i
\(690\) 0.594591 0.420324i 0.0226357 0.0160015i
\(691\) 25.1773 + 14.5361i 0.957790 + 0.552980i 0.895492 0.445077i \(-0.146824\pi\)
0.0622976 + 0.998058i \(0.480157\pi\)
\(692\) 4.98835 + 4.98835i 0.189628 + 0.189628i
\(693\) 2.07251 + 43.3541i 0.0787281 + 1.64689i
\(694\) 8.97626i 0.340734i
\(695\) −8.56502 23.2078i −0.324890 0.880323i
\(696\) −0.791655 + 0.457062i −0.0300076 + 0.0173249i
\(697\) −36.9743 9.90723i −1.40050 0.375263i
\(698\) 6.73580 + 25.1383i 0.254954 + 0.951500i
\(699\) −3.97855 −0.150483
\(700\) 3.81229 12.6675i 0.144091 0.478788i
\(701\) 25.4462 0.961089 0.480545 0.876970i \(-0.340439\pi\)
0.480545 + 0.876970i \(0.340439\pi\)
\(702\) 0.896949 + 3.34746i 0.0338531 + 0.126342i
\(703\) −18.9462 5.07663i −0.714571 0.191469i
\(704\) 4.87205 2.81288i 0.183622 0.106014i
\(705\) 1.32247 + 3.58337i 0.0498071 + 0.134957i
\(706\) 9.96618i 0.375082i
\(707\) 35.8289 23.0343i 1.34748 0.866295i
\(708\) −1.12240 1.12240i −0.0421823 0.0421823i
\(709\) 27.1994 + 15.7036i 1.02150 + 0.589760i 0.914537 0.404503i \(-0.132555\pi\)
0.106958 + 0.994263i \(0.465889\pi\)
\(710\) −8.72254 + 6.16608i −0.327351 + 0.231409i
\(711\) 9.10952 + 15.7781i 0.341634 + 0.591727i
\(712\) −11.5156 + 3.08559i −0.431565 + 0.115637i
\(713\) −3.05850 + 3.05850i −0.114542 + 0.114542i
\(714\) 3.97667 + 0.864371i 0.148823 + 0.0323483i
\(715\) −2.33027 25.3263i −0.0871470 0.947149i
\(716\) 1.10317 1.91075i 0.0412275 0.0714081i
\(717\) −1.47445 + 5.50271i −0.0550642 + 0.205502i
\(718\) 2.99560 11.1797i 0.111795 0.417224i
\(719\) 5.40214 9.35678i 0.201466 0.348949i −0.747535 0.664222i \(-0.768763\pi\)
0.949001 + 0.315273i \(0.102096\pi\)
\(720\) −5.01373 4.16885i −0.186851 0.155364i
\(721\) 15.8540 + 49.5669i 0.590434 + 1.84597i
\(722\) −2.72509 + 2.72509i −0.101417 + 0.101417i
\(723\) 1.64704 0.441322i 0.0612539 0.0164129i
\(724\) 2.05934 + 3.56688i 0.0765347 + 0.132562i
\(725\) −10.2480 11.9930i −0.380602 0.445408i
\(726\) 5.18128 + 2.99141i 0.192295 + 0.111022i
\(727\) −33.6108 33.6108i −1.24656 1.24656i −0.957231 0.289326i \(-0.906569\pi\)
−0.289326 0.957231i \(-0.593431\pi\)
\(728\) −5.34305 + 0.255420i −0.198026 + 0.00946651i
\(729\) 22.5720i 0.835998i
\(730\) −11.7732 + 4.34500i −0.435747 + 0.160816i
\(731\) −12.0719 + 6.96972i −0.446496 + 0.257785i
\(732\) −1.28996 0.345644i −0.0476784 0.0127754i
\(733\) 6.66658 + 24.8800i 0.246236 + 0.918964i 0.972758 + 0.231822i \(0.0744686\pi\)
−0.726523 + 0.687143i \(0.758865\pi\)
\(734\) 16.6944 0.616202
\(735\) −0.844410 4.45579i −0.0311465 0.164354i
\(736\) 1.12392 0.0414283
\(737\) 1.23034 + 4.59170i 0.0453203 + 0.169138i
\(738\) 20.3098 + 5.44198i 0.747613 + 0.200322i
\(739\) −10.4948 + 6.05920i −0.386059 + 0.222891i −0.680451 0.732793i \(-0.738216\pi\)
0.294392 + 0.955685i \(0.404883\pi\)
\(740\) −4.71693 + 10.2351i −0.173398 + 0.376250i
\(741\) 2.27977i 0.0837493i
\(742\) −3.65522 + 0.174735i −0.134187 + 0.00641472i
\(743\) 23.2618 + 23.2618i 0.853393 + 0.853393i 0.990549 0.137157i \(-0.0437964\pi\)
−0.137157 + 0.990549i \(0.543796\pi\)
\(744\) −0.965654 0.557521i −0.0354026 0.0204397i
\(745\) −1.91053 + 11.1267i −0.0699964 + 0.407652i
\(746\) −1.58946 2.75303i −0.0581944 0.100796i
\(747\) 22.5971 6.05487i 0.826784 0.221536i
\(748\) −21.1182 + 21.1182i −0.772158 + 0.772158i
\(749\) 2.25767 + 7.05851i 0.0824934 + 0.257912i
\(750\) −1.58179 + 2.82690i −0.0577587 + 0.103224i
\(751\) −6.98887 + 12.1051i −0.255028 + 0.441721i −0.964903 0.262607i \(-0.915418\pi\)
0.709875 + 0.704327i \(0.248751\pi\)
\(752\) −1.52590 + 5.69475i −0.0556440 + 0.207666i
\(753\) −0.532387 + 1.98690i −0.0194013 + 0.0724065i
\(754\) −3.18939 + 5.52418i −0.116151 + 0.201179i
\(755\) 19.2181 23.1130i 0.699420 0.841169i
\(756\) −4.43160 0.963256i −0.161176 0.0350333i
\(757\) 17.5547 17.5547i 0.638036 0.638036i −0.312035 0.950071i \(-0.601010\pi\)
0.950071 + 0.312035i \(0.101010\pi\)
\(758\) 6.90974 1.85146i 0.250973 0.0672481i
\(759\) 0.915990 + 1.58654i 0.0332483 + 0.0575878i
\(760\) −5.02338 7.10608i −0.182217 0.257765i
\(761\) 18.9372 + 10.9334i 0.686471 + 0.396334i 0.802289 0.596936i \(-0.203615\pi\)
−0.115817 + 0.993271i \(0.536949\pi\)
\(762\) −1.34289 1.34289i −0.0486478 0.0486478i
\(763\) 13.1546 8.45710i 0.476230 0.306168i
\(764\) 17.2023i 0.622359i
\(765\) 31.4376 + 14.4883i 1.13663 + 0.523826i
\(766\) 12.6382 7.29669i 0.456638 0.263640i
\(767\) −10.6989 2.86675i −0.386313 0.103512i
\(768\) 0.0749894 + 0.279864i 0.00270595 + 0.0100987i
\(769\) −31.0506 −1.11971 −0.559857 0.828589i \(-0.689144\pi\)
−0.559857 + 0.828589i \(0.689144\pi\)
\(770\) 30.8576 + 12.4711i 1.11203 + 0.449428i
\(771\) 2.86459 0.103166