Properties

Label 70.2.k.a.17.3
Level $70$
Weight $2$
Character 70.17
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 17.3
Root \(1.01089 - 0.750919i\) of defining polynomial
Character \(\chi\) \(=\) 70.17
Dual form 70.2.k.a.33.3

$q$-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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q - 12q^{5} + 8q^{7} + O(q^{10}) \) \( 16q - 12q^{5} + 8q^{7} - 12q^{10} - 12q^{11} + 16q^{15} + 8q^{16} - 36q^{17} - 8q^{18} - 28q^{21} - 8q^{22} - 4q^{23} + 12q^{25} + 12q^{26} + 4q^{28} + 20q^{30} + 24q^{31} + 48q^{33} + 8q^{35} - 8q^{36} + 4q^{37} + 24q^{38} + 36q^{42} - 8q^{43} - 12q^{45} - 8q^{46} + 12q^{47} - 32q^{50} - 16q^{51} - 28q^{53} - 4q^{56} + 8q^{57} - 32q^{58} + 8q^{60} - 12q^{61} - 36q^{63} - 8q^{65} + 32q^{67} - 36q^{68} - 12q^{70} + 16q^{71} - 8q^{72} - 12q^{73} - 48q^{75} + 16q^{77} + 16q^{78} - 12q^{80} - 48q^{82} + 24q^{85} + 12q^{86} - 24q^{87} - 4q^{88} - 16q^{91} + 8q^{92} + 28q^{93} + 20q^{95} + 12q^{96} + 40q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(31\) \(57\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{1}{4}\right)\)

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 −0.338702 0.940894i \(-0.609988\pi\)
0.177122 + 0.984189i \(0.443321\pi\)
\(4\) −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 0.0347729 + 0.999395i \(0.488929\pi\)
−0.882888 + 0.469583i \(0.844404\pi\)
\(12\) 0.279864 + 0.0749894i 0.0807899 + 0.0216476i
\(13\) 1.42962 + 1.42962i 0.396505 + 0.396505i 0.876998 0.480493i \(-0.159542\pi\)
−0.480493 + 0.876998i \(0.659542\pi\)
\(14\) 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 −0.905760 0.423790i \(-0.860699\pi\)
0.572516 0.819893i \(-0.305967\pi\)
\(18\) 0.754730 + 2.81669i 0.177892 + 0.663900i
\(19\) 1.94590 + 3.37040i 0.446420 + 0.773223i 0.998150 0.0608002i \(-0.0193652\pi\)
−0.551729 + 0.834023i \(0.686032\pi\)
\(20\) −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 0.370220 0.928944i \(-0.379282\pi\)
−0.143852 + 0.989599i \(0.545949\pi\)
\(24\) 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 \(-0.905368\pi\)
0.956132 0.292936i \(-0.0946322\pi\)
\(30\) 0.607800 + 0.224313i 0.110969 + 0.0409538i
\(31\) −3.33287 1.92423i −0.598601 0.345602i 0.169890 0.985463i \(-0.445659\pi\)
−0.768491 + 0.639861i \(0.778992\pi\)
\(32\) 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 0.771911 + 0.635731i \(0.219301\pi\)
−0.986360 + 0.164603i \(0.947366\pi\)
\(38\) 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 \(-0.809629\pi\)
0.826426 0.563046i \(-0.190371\pi\)
\(42\) −0.0366036 + 0.765697i −0.00564806 + 0.118150i
\(43\) 1.85669 1.85669i 0.283143 0.283143i −0.551218 0.834361i \(-0.685837\pi\)
0.834361 + 0.551218i \(0.185837\pi\)
\(44\) 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 −0.181661 0.983361i \(-0.558147\pi\)
−0.649004 + 0.760785i \(0.724814\pi\)
\(48\) −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 0.936972 0.349405i \(-0.113616\pi\)
−0.986144 + 0.165892i \(0.946950\pi\)
\(54\) −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 −0.987393 0.158286i \(-0.949403\pi\)
0.630776 + 0.775965i \(0.282737\pi\)
\(60\) 0.373980 0.529033i 0.0482806 0.0682979i
\(61\) −3.99172 + 2.30462i −0.511088 + 0.295077i −0.733281 0.679926i \(-0.762012\pi\)
0.222193 + 0.975003i \(0.428678\pi\)
\(62\) −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 −0.308331 0.951279i \(-0.599770\pi\)
0.208617 + 0.977997i \(0.433104\pi\)
\(68\) −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 0.0727807 0.997348i \(-0.476813\pi\)
0.561704 + 0.827338i \(0.310146\pi\)
\(74\) 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 −0.772481 0.635038i \(-0.780984\pi\)
0.163719 + 0.986507i \(0.447651\pi\)
\(80\) 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 0.323542 0.946214i \(-0.395126\pi\)
−0.946214 + 0.323542i \(0.895126\pi\)
\(84\) 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 0.987172 + 0.159659i \(0.0510393\pi\)
−0.355318 + 0.934746i \(0.615627\pi\)
\(90\) 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 −0.285191 0.958471i \(-0.592057\pi\)
0.958471 + 0.285191i \(0.0920572\pi\)
\(98\) 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 0.993012 0.118016i \(-0.0376535\pi\)
0.394301 + 0.918981i \(0.370987\pi\)
\(102\) 1.48572 0.398099i 0.147109 0.0394176i
\(103\) 5.09084 18.9993i 0.501616 1.87206i 0.0123445 0.999924i \(-0.496071\pi\)
0.489271 0.872132i \(-0.337263\pi\)
\(104\) −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 −0.921990 0.387214i \(-0.873437\pi\)
0.992074 + 0.125657i \(0.0401040\pi\)
\(108\) −1.65569 + 0.443641i −0.159319 + 0.0426894i
\(109\) 5.11895 + 2.95543i 0.490306 + 0.283078i 0.724701 0.689063i \(-0.241978\pi\)
−0.234395 + 0.972141i \(0.575311\pi\)
\(110\) 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 −0.335697 + 0.941970i \(0.608972\pi\)
−0.941970 + 0.335697i \(0.891028\pi\)
\(114\) −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 0.882184 0.470906i \(-0.156073\pi\)
−0.470906 + 0.882184i \(0.656073\pi\)
\(128\) −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 −0.762035 0.647536i \(-0.775799\pi\)
0.179766 + 0.983709i \(0.442466\pi\)
\(132\) −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 0.124910 0.992168i \(-0.460136\pi\)
0.604259 + 0.796788i \(0.293469\pi\)
\(138\) −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 −0.310089 0.950708i \(-0.600359\pi\)
0.668293 + 0.743899i \(0.267025\pi\)
\(150\) 0.941113 1.10136i 0.0768416 0.0899256i
\(151\) −6.72142 + 11.6418i −0.546981 + 0.947399i 0.451498 + 0.892272i \(0.350890\pi\)
−0.998479 + 0.0551270i \(0.982444\pi\)
\(152\) −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 0.953600 0.301078i \(-0.0973464\pi\)
−0.976380 + 0.216059i \(0.930680\pi\)
\(158\) 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 0.722193 0.691691i \(-0.243134\pi\)
0.279592 + 0.960119i \(0.409801\pi\)
\(164\) −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 −0.501142 0.865365i \(-0.667087\pi\)
0.865365 + 0.501142i \(0.167087\pi\)
\(168\) 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 0.861135 + 0.508376i \(0.169754\pi\)
−0.999953 + 0.00969875i \(0.996913\pi\)
\(174\) 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 0.426889 0.904304i \(-0.359609\pi\)
−0.569706 + 0.821849i \(0.692943\pi\)
\(180\) 2.25760 6.11719i 0.168271 0.455949i
\(181\) 4.11867i 0.306139i 0.988215 + 0.153069i \(0.0489158\pi\)
−0.988215 + 0.153069i \(0.951084\pi\)
\(182\) 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 0.989045 + 0.147613i \(0.0471589\pi\)
−0.366686 + 0.930345i \(0.619508\pi\)
\(192\) 0.0749894 + 0.279864i 0.00541190 + 0.0201975i
\(193\) −3.12327 11.6562i −0.224818 0.839032i −0.982477 0.186382i \(-0.940324\pi\)
0.757659 0.652650i \(-0.226343\pi\)
\(194\) −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 0.999800 + 0.0199932i \(0.00636444\pi\)
0.0199932 + 0.999800i \(0.493636\pi\)
\(198\) −15.8460 4.24593i −1.12613 0.301745i
\(199\) 3.76653 6.52383i 0.267002 0.462462i −0.701084 0.713079i \(-0.747300\pi\)
0.968086 + 0.250617i \(0.0806335\pi\)
\(200\) 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 0.656521 0.754308i \(-0.272027\pi\)
−0.754308 + 0.656521i \(0.772027\pi\)
\(224\) 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 −0.918989 0.394283i \(-0.870993\pi\)
0.598726 0.800954i \(-0.295674\pi\)
\(228\) 0.291844 + 1.08918i 0.0193278 + 0.0721325i
\(229\) 2.00384 + 3.47074i 0.132417 + 0.229353i 0.924608 0.380920i \(-0.124393\pi\)
−0.792191 + 0.610274i \(0.791059\pi\)
\(230\) −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 0.665627 0.746285i \(-0.268164\pi\)
0.203307 + 0.979115i \(0.434831\pi\)
\(234\) −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 \(0.219378\pi\)
−0.771758 + 0.635916i \(0.780622\pi\)
\(240\) −0.588393 + 0.271166i −0.0379806 + 0.0175037i
\(241\) −5.09667 2.94256i −0.328305 0.189547i 0.326783 0.945099i \(-0.394035\pi\)
−0.655088 + 0.755552i \(0.727369\pi\)
\(242\) −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 \(0.0719306\pi\)
−0.974576 + 0.224058i \(0.928069\pi\)
\(252\) 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 −0.0516491 0.998665i \(-0.516448\pi\)
−0.544062 + 0.839045i \(0.683114\pi\)
\(258\) 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 0.984566 + 0.175013i \(0.0559967\pi\)
−0.765153 + 0.643849i \(0.777337\pi\)
\(264\) 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 −0.106368 0.994327i \(-0.533922\pi\)
0.914296 0.405046i \(-0.132745\pi\)
\(270\) −3.77756 + 0.648630i −0.229895 + 0.0394744i
\(271\) −11.0824 + 6.39844i −0.673209 + 0.388678i −0.797292 0.603594i \(-0.793735\pi\)
0.124082 + 0.992272i \(0.460401\pi\)
\(272\) 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 −0.789653 0.613554i \(-0.789739\pi\)
−0.377083 + 0.926180i \(0.623073\pi\)
\(278\) −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 −0.930816 0.365489i \(-0.880902\pi\)
−0.623366 + 0.781930i \(0.714235\pi\)
\(284\) −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 −1.00000 0.000106876i \(-0.999966\pi\)
−0.000106876 1.00000i \(-0.500034\pi\)
\(294\) −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 −0.999919 0.0127019i \(-0.995957\pi\)
0.0127019 + 0.999919i \(0.495957\pi\)
\(308\) 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 0.205486 0.978660i \(-0.434123\pi\)
−0.744802 + 0.667286i \(0.767456\pi\)
\(312\) 0.565826 0.151613i 0.0320336 0.00858338i
\(313\) 7.61212 28.4088i 0.430262 1.60576i −0.321893 0.946776i \(-0.604319\pi\)
0.752156 0.658985i \(-0.229014\pi\)
\(314\) −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 −0.927667 0.373408i \(-0.878189\pi\)
0.990087 + 0.140453i \(0.0448558\pi\)
\(318\) 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 −0.682387 0.730991i \(-0.739058\pi\)
−0.291863 0.956460i \(-0.594275\pi\)
\(332\) 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 0.294075 0.955782i \(-0.404989\pi\)
−0.955782 + 0.294075i \(0.904989\pi\)
\(338\) −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 −0.483920 0.875112i \(-0.660788\pi\)
0.0184687 + 0.999829i \(0.494121\pi\)
\(348\) 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 0.00663577 0.999978i \(-0.497888\pi\)
0.505736 + 0.862688i \(0.331221\pi\)
\(354\) −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 −0.740617 0.671928i \(-0.765467\pi\)
0.211598 + 0.977357i \(0.432133\pi\)
\(360\) −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 0.982185 + 0.187915i \(0.0601730\pi\)
−0.756640 + 0.653832i \(0.773160\pi\)
\(368\) 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 0.178446 0.983950i \(-0.442893\pi\)
−0.337436 + 0.941348i \(0.609560\pi\)
\(374\) 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 \(0.0588156\pi\)
−0.982978 + 0.183725i \(0.941184\pi\)
\(380\) −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 0.799778 + 0.600296i \(0.204950\pi\)
−0.992776 + 0.119982i \(0.961716\pi\)
\(384\) 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 0.357750 0.933817i \(-0.383544\pi\)
−0.629834 + 0.776729i \(0.716877\pi\)
\(390\) 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 0.328804 0.944398i \(-0.393354\pi\)
−0.187447 + 0.982275i \(0.560021\pi\)
\(398\) −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 0.999999 0.00156835i \(-0.000499221\pi\)
−0.501358 + 0.865240i \(0.667166\pi\)
\(402\) −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 0.0322484 + 0.999480i \(0.489733\pi\)
−0.881699 + 0.471812i \(0.843600\pi\)
\(410\) −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 −0.632004 0.774965i \(-0.717767\pi\)
0.987141 + 0.159849i \(0.0511008\pi\)
\(432\) 1.65569 + 0.443641i 0.0796595 + 0.0213447i
\(433\) 9.98256 + 9.98256i 0.479731 + 0.479731i 0.905046 0.425315i \(-0.139837\pi\)
−0.425315 + 0.905046i \(0.639837\pi\)
\(434\) −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 −0.803878 0.594794i \(-0.797234\pi\)
−0.113167 0.993576i \(-0.536100\pi\)
\(440\) −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 0.124795 0.992183i \(-0.460173\pi\)
−0.388016 + 0.921653i \(0.626839\pi\)
\(444\) −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 \(0.0551254\pi\)
−0.985042 + 0.172317i \(0.944875\pi\)
\(450\) 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 −0.927754 0.373192i \(-0.878263\pi\)
0.990055 + 0.140683i \(0.0449299\pi\)
\(458\) 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 \(0.240155\pi\)
−0.728634 + 0.684903i \(0.759845\pi\)
\(462\) −3.62755 2.33215i −0.168769 0.108501i
\(463\) −4.04625 + 4.04625i −0.188045 + 0.188045i −0.794851 0.606805i \(-0.792451\pi\)
0.606805 + 0.794851i \(0.292451\pi\)
\(464\) 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 0.610808 0.791779i \(-0.290845\pi\)
0.133086 + 0.991105i \(0.457511\pi\)
\(468\) 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 −0.986526 0.163607i \(-0.947687\pi\)
0.634950 + 0.772553i \(0.281021\pi\)
\(480\) 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 0.637888 0.770129i \(-0.279808\pi\)
0.937492 + 0.348007i \(0.113142\pi\)
\(488\) 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 0.258630 0.965976i \(-0.416729\pi\)
0.965875 + 0.259008i \(0.0833955\pi\)
\(500\) 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 0.218778 0.975775i \(-0.429793\pi\)
−0.975775 + 0.218778i \(0.929793\pi\)
\(504\) 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 0.522848 0.852426i \(-0.324870\pi\)
−0.999647 + 0.0265865i \(0.991536\pi\)
\(510\) 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 0.729672 0.683798i \(-0.239673\pi\)
−0.227350 + 0.973813i \(0.573006\pi\)
\(522\) 8.88670 2.38118i 0.388960 0.104222i
\(523\) −6.97006 + 26.0126i −0.304779 + 1.13745i 0.628356 + 0.777926i \(0.283728\pi\)
−0.933135 + 0.359526i \(0.882938\pi\)
\(524\) 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 0.961724 0.274020i \(-0.0883536\pi\)
−0.718171 + 0.695867i \(0.755020\pi\)
\(542\) 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 −0.912298 0.409527i \(-0.865694\pi\)
−0.409527 0.912298i \(-0.634306\pi\)
\(548\) −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 0.325688 0.945477i \(-0.394404\pi\)
0.754793 + 0.655963i \(0.227737\pi\)
\(558\) 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 0.176812 0.984245i \(-0.443422\pi\)
0.645246 + 0.763975i \(0.276755\pi\)
\(564\) −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 −0.877481 0.479611i \(-0.840778\pi\)
−0.0233856 + 0.999727i \(0.507445\pi\)
\(570\) 0.426693 + 2.48502i 0.0178722 + 0.104086i
\(571\) −2.29029 + 3.96690i −0.0958458 + 0.166010i −0.909961 0.414693i \(-0.863889\pi\)
0.814116 + 0.580703i \(0.197222\pi\)
\(572\) 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 −0.986816 0.161845i \(-0.948256\pi\)
0.773686 0.633570i \(-0.218411\pi\)
\(578\) 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 −0.983068 0.183244i \(-0.941340\pi\)
0.183244 + 0.983068i \(0.441340\pi\)
\(588\) 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 −0.946583 0.322460i \(-0.895490\pi\)
0.980995 + 0.194033i \(0.0621568\pi\)
\(594\) 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 0.355543 0.934660i \(-0.384296\pi\)
−0.631668 + 0.775239i \(0.717629\pi\)
\(600\) −1.36571 + 0.483248i −0.0557548 + 0.0197285i
\(601\) 31.7170i 1.29377i 0.762590 + 0.646883i \(0.223928\pi\)
−0.762590 + 0.646883i \(0.776072\pi\)
\(602\) −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 0.273876 0.961765i \(-0.411694\pi\)
−0.243699 + 0.969851i \(0.578361\pi\)
\(608\) 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 0.866212 + 0.499676i \(0.166548\pi\)
−0.500323 + 0.865839i \(0.666786\pi\)
\(614\) 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 0.992159 0.124980i \(-0.0398866\pi\)
−0.124980 + 0.992159i \(0.539887\pi\)
\(618\) 5.50479 + 1.47501i 0.221435 + 0.0593334i
\(619\) 21.6707 37.5348i 0.871021 1.50865i 0.0100783 0.999949i \(-0.496792\pi\)
0.860942 0.508703i \(-0.169875\pi\)
\(620\) 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 −0.999750 0.0223521i \(-0.992885\pi\)
0.519233 + 0.854633i \(0.326218\pi\)
\(642\) 0.783903 + 0.210046i 0.0309382 + 0.00828986i
\(643\) 6.21713 + 6.21713i 0.245180 + 0.245180i 0.818989 0.573809i \(-0.194535\pi\)
−0.573809 + 0.818989i \(0.694535\pi\)
\(644\) −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 0.987905 + 0.155063i \(0.0495581\pi\)
−0.778019 + 0.628241i \(0.783775\pi\)
\(648\) 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 −0.271630 0.962402i \(-0.587563\pi\)
−0.716439 + 0.697650i \(0.754229\pi\)
\(654\) −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 \(0.156548\pi\)
−0.881480 + 0.472222i \(0.843452\pi\)
\(660\) 1.52551 + 3.31016i 0.0593806 + 0.128848i
\(661\) 15.5301 + 8.96630i 0.604050 + 0.348749i 0.770633 0.637279i \(-0.219940\pi\)
−0.166583 + 0.986027i \(0.553273\pi\)
\(662\) −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 −0.794442 0.607340i \(-0.792237\pi\)
0.607340 + 0.794442i \(0.292237\pi\)
\(674\) −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 −0.101079 0.994878i \(-0.532229\pi\)
−0.584976 + 0.811051i \(0.698896\pi\)
\(678\) −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 −0.961992 0.273079i \(-0.911958\pi\)
0.696569 0.717489i \(-0.254709\pi\)
\(684\) 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 0.0622976 0.998058i \(-0.480157\pi\)
0.895492 + 0.445077i \(0.146824\pi\)
\(692\) 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 0.106958 0.994263i \(-0.465889\pi\)
0.914537 + 0.404503i \(0.132555\pi\)
\(710\) −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 0.949001 0.315273i \(-0.102096\pi\)
−0.747535 + 0.664222i \(0.768763\pi\)
\(720\) −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 −0.289326 + 0.957231i \(0.593431\pi\)
−0.957231 + 0.289326i \(0.906569\pi\)
\(728\) −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 −0.726523 0.687143i \(-0.758865\pi\)
0.972758 0.231822i \(-0.0744686\pi\)
\(734\) 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 0.294392 0.955685i \(-0.404883\pi\)
−0.680451 + 0.732793i \(0.738216\pi\)
\(740\) −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 −0.137157 0.990549i \(-0.543796\pi\)
0.990549 + 0.137157i \(0.0437964\pi\)
\(744\) −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 0.709875 0.704327i \(-0.248751\pi\)
−0.964903 + 0.262607i \(0.915418\pi\)
\(752\) −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 0.950071 0.312035i \(-0.101010\pi\)
−0.312035 + 0.950071i \(0.601010\pi\)
\(758\) 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 −0.115817 0.993271i \(-0.536949\pi\)
0.802289 + 0.596936i \(0.203615\pi\)
\(762\) −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
\(772\) −3.12327