Properties

Label 64.2.i.a.21.1
Level $64$
Weight $2$
Character 64.21
Analytic conductor $0.511$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 64 = 2^{6} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 64.i (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.511042572936\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(7\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 21.1
Character \(\chi\) \(=\) 64.21
Dual form 64.2.i.a.61.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.30780 - 0.538195i) q^{2} +(0.344545 + 1.73215i) q^{3} +(1.42069 + 1.40771i) q^{4} +(-2.21982 + 1.48324i) q^{5} +(0.481636 - 2.45074i) q^{6} +(2.90595 + 1.20368i) q^{7} +(-1.10036 - 2.60561i) q^{8} +(-0.109979 + 0.0455548i) q^{9} +O(q^{10})\) \(q+(-1.30780 - 0.538195i) q^{2} +(0.344545 + 1.73215i) q^{3} +(1.42069 + 1.40771i) q^{4} +(-2.21982 + 1.48324i) q^{5} +(0.481636 - 2.45074i) q^{6} +(2.90595 + 1.20368i) q^{7} +(-1.10036 - 2.60561i) q^{8} +(-0.109979 + 0.0455548i) q^{9} +(3.70136 - 0.745083i) q^{10} +(1.75553 + 0.349197i) q^{11} +(-1.94886 + 2.94586i) q^{12} +(-5.20730 - 3.47941i) q^{13} +(-3.15259 - 3.13815i) q^{14} +(-3.33401 - 3.33401i) q^{15} +(0.0367288 + 3.99983i) q^{16} +(0.895276 - 0.895276i) q^{17} +(0.168348 - 0.000386458i) q^{18} +(2.36339 - 3.53706i) q^{19} +(-5.24165 - 1.01763i) q^{20} +(-1.08373 + 5.44826i) q^{21} +(-2.10795 - 1.40150i) q^{22} +(-0.709741 - 1.71347i) q^{23} +(4.13417 - 2.80374i) q^{24} +(0.814201 - 1.96565i) q^{25} +(4.93752 + 7.35293i) q^{26} +(2.82675 + 4.23052i) q^{27} +(2.43403 + 5.80079i) q^{28} +(7.36008 - 1.46401i) q^{29} +(2.56588 + 6.15458i) q^{30} -1.14161i q^{31} +(2.10466 - 5.25075i) q^{32} +3.16115i q^{33} +(-1.65268 + 0.689010i) q^{34} +(-8.23605 + 1.63825i) q^{35} +(-0.220374 - 0.0900988i) q^{36} +(-1.36011 - 2.03555i) q^{37} +(-4.99448 + 3.35381i) q^{38} +(4.23269 - 10.2186i) q^{39} +(6.30735 + 4.15189i) q^{40} +(-3.08221 - 7.44112i) q^{41} +(4.34952 - 6.54198i) q^{42} +(-1.56753 + 7.88051i) q^{43} +(2.00250 + 2.96737i) q^{44} +(0.176565 - 0.264249i) q^{45} +(0.00602099 + 2.62285i) q^{46} +(-6.65222 + 6.65222i) q^{47} +(-6.91564 + 1.44174i) q^{48} +(2.04595 + 2.04595i) q^{49} +(-2.12272 + 2.13249i) q^{50} +(1.85921 + 1.24228i) q^{51} +(-2.49999 - 12.2735i) q^{52} +(-0.674026 - 0.134072i) q^{53} +(-1.41997 - 7.05403i) q^{54} +(-4.41491 + 1.82872i) q^{55} +(-0.0612673 - 8.89627i) q^{56} +(6.94100 + 2.87506i) q^{57} +(-10.4135 - 2.04653i) q^{58} +(-2.59120 + 1.73138i) q^{59} +(-0.0432946 - 9.42992i) q^{60} +(0.360949 + 1.81461i) q^{61} +(-0.614409 + 1.49300i) q^{62} -0.374427 q^{63} +(-5.57841 + 5.73423i) q^{64} +16.7201 q^{65} +(1.70132 - 4.13416i) q^{66} +(-2.13440 - 10.7304i) q^{67} +(2.53219 - 0.0116258i) q^{68} +(2.72344 - 1.81974i) q^{69} +(11.6528 + 2.29009i) q^{70} +(1.97842 + 0.819489i) q^{71} +(0.239715 + 0.236436i) q^{72} +(-13.1646 + 5.45295i) q^{73} +(0.683231 + 3.39409i) q^{74} +(3.68533 + 0.733058i) q^{75} +(8.33679 - 1.69812i) q^{76} +(4.68117 + 3.12785i) q^{77} +(-11.0351 + 11.0859i) q^{78} +(0.102033 + 0.102033i) q^{79} +(-6.01423 - 8.82444i) q^{80} +(-6.60646 + 6.60646i) q^{81} +(0.0261475 + 11.3903i) q^{82} +(5.13230 - 7.68102i) q^{83} +(-9.20918 + 6.21473i) q^{84} +(-0.659446 + 3.31526i) q^{85} +(6.29128 - 9.46251i) q^{86} +(5.07176 + 12.2443i) q^{87} +(-1.02185 - 4.95847i) q^{88} +(-4.64776 + 11.2207i) q^{89} +(-0.373130 + 0.250558i) q^{90} +(-10.9441 - 16.3790i) q^{91} +(1.40373 - 3.43341i) q^{92} +(1.97743 - 0.393336i) q^{93} +(12.2800 - 5.11959i) q^{94} +11.3571i q^{95} +(9.82022 + 1.83645i) q^{96} -12.8041i q^{97} +(-1.57458 - 3.77683i) q^{98} +(-0.208979 + 0.0415685i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 8q^{2} - 8q^{3} - 8q^{4} - 8q^{5} - 8q^{6} - 8q^{7} - 8q^{8} - 8q^{9} + O(q^{10}) \) \( 56q - 8q^{2} - 8q^{3} - 8q^{4} - 8q^{5} - 8q^{6} - 8q^{7} - 8q^{8} - 8q^{9} - 8q^{10} - 8q^{11} - 8q^{12} - 8q^{13} - 8q^{14} - 8q^{15} - 8q^{16} - 8q^{17} - 8q^{18} - 8q^{19} - 8q^{20} - 8q^{21} - 8q^{23} + 32q^{24} - 8q^{25} + 32q^{26} - 8q^{27} + 32q^{28} - 8q^{29} + 72q^{30} + 32q^{32} + 32q^{34} - 8q^{35} + 72q^{36} - 8q^{37} + 32q^{38} - 8q^{39} + 32q^{40} - 8q^{41} + 32q^{42} - 8q^{43} - 8q^{45} - 8q^{46} - 8q^{47} - 8q^{48} - 8q^{49} - 32q^{50} + 24q^{51} - 56q^{52} - 8q^{53} - 72q^{54} + 56q^{55} - 64q^{56} - 8q^{57} - 80q^{58} + 56q^{59} - 104q^{60} - 8q^{61} - 40q^{62} + 64q^{63} - 104q^{64} - 16q^{65} - 88q^{66} + 72q^{67} - 56q^{68} - 8q^{69} - 104q^{70} + 56q^{71} - 80q^{72} - 8q^{73} - 64q^{74} + 56q^{75} - 72q^{76} - 8q^{77} - 32q^{78} + 24q^{79} + 32q^{80} - 8q^{81} + 72q^{82} - 8q^{83} + 104q^{84} - 8q^{85} + 96q^{86} - 8q^{87} + 72q^{88} - 8q^{89} + 136q^{90} - 8q^{91} + 144q^{92} + 16q^{93} + 88q^{94} + 128q^{96} + 128q^{98} + 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/64\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(63\)
\(\chi(n)\) \(e\left(\frac{13}{16}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.30780 0.538195i −0.924756 0.380562i
\(3\) 0.344545 + 1.73215i 0.198923 + 1.00005i 0.943211 + 0.332195i \(0.107789\pi\)
−0.744287 + 0.667860i \(0.767211\pi\)
\(4\) 1.42069 + 1.40771i 0.710346 + 0.703853i
\(5\) −2.21982 + 1.48324i −0.992735 + 0.663324i −0.942079 0.335392i \(-0.891131\pi\)
−0.0506563 + 0.998716i \(0.516131\pi\)
\(6\) 0.481636 2.45074i 0.196627 1.00051i
\(7\) 2.90595 + 1.20368i 1.09835 + 0.454950i 0.856910 0.515466i \(-0.172381\pi\)
0.241437 + 0.970417i \(0.422381\pi\)
\(8\) −1.10036 2.60561i −0.389037 0.921222i
\(9\) −0.109979 + 0.0455548i −0.0366597 + 0.0151849i
\(10\) 3.70136 0.745083i 1.17047 0.235616i
\(11\) 1.75553 + 0.349197i 0.529312 + 0.105287i 0.452510 0.891760i \(-0.350529\pi\)
0.0768028 + 0.997046i \(0.475529\pi\)
\(12\) −1.94886 + 2.94586i −0.562587 + 0.850397i
\(13\) −5.20730 3.47941i −1.44425 0.965015i −0.997523 0.0703427i \(-0.977591\pi\)
−0.446724 0.894672i \(-0.647409\pi\)
\(14\) −3.15259 3.13815i −0.842566 0.838706i
\(15\) −3.33401 3.33401i −0.860839 0.860839i
\(16\) 0.0367288 + 3.99983i 0.00918220 + 0.999958i
\(17\) 0.895276 0.895276i 0.217136 0.217136i −0.590154 0.807290i \(-0.700933\pi\)
0.807290 + 0.590154i \(0.200933\pi\)
\(18\) 0.168348 0.000386458i 0.0396800 9.10890e-5i
\(19\) 2.36339 3.53706i 0.542199 0.811458i −0.454659 0.890665i \(-0.650239\pi\)
0.996858 + 0.0792076i \(0.0252390\pi\)
\(20\) −5.24165 1.01763i −1.17207 0.227550i
\(21\) −1.08373 + 5.44826i −0.236488 + 1.18891i
\(22\) −2.10795 1.40150i −0.449416 0.298800i
\(23\) −0.709741 1.71347i −0.147991 0.357282i 0.832448 0.554103i \(-0.186938\pi\)
−0.980440 + 0.196820i \(0.936938\pi\)
\(24\) 4.13417 2.80374i 0.843884 0.572311i
\(25\) 0.814201 1.96565i 0.162840 0.393131i
\(26\) 4.93752 + 7.35293i 0.968328 + 1.44203i
\(27\) 2.82675 + 4.23052i 0.544007 + 0.814165i
\(28\) 2.43403 + 5.80079i 0.459988 + 1.09625i
\(29\) 7.36008 1.46401i 1.36673 0.271860i 0.543426 0.839457i \(-0.317127\pi\)
0.823307 + 0.567597i \(0.192127\pi\)
\(30\) 2.56588 + 6.15458i 0.468463 + 1.12367i
\(31\) 1.14161i 0.205039i −0.994731 0.102520i \(-0.967310\pi\)
0.994731 0.102520i \(-0.0326904\pi\)
\(32\) 2.10466 5.25075i 0.372054 0.928211i
\(33\) 3.16115i 0.550285i
\(34\) −1.65268 + 0.689010i −0.283432 + 0.118164i
\(35\) −8.23605 + 1.63825i −1.39215 + 0.276915i
\(36\) −0.220374 0.0900988i −0.0367290 0.0150165i
\(37\) −1.36011 2.03555i −0.223600 0.334642i 0.702660 0.711526i \(-0.251995\pi\)
−0.926260 + 0.376884i \(0.876995\pi\)
\(38\) −4.99448 + 3.35381i −0.810211 + 0.544060i
\(39\) 4.23269 10.2186i 0.677773 1.63629i
\(40\) 6.30735 + 4.15189i 0.997280 + 0.656472i
\(41\) −3.08221 7.44112i −0.481361 1.16211i −0.958963 0.283532i \(-0.908494\pi\)
0.477602 0.878576i \(-0.341506\pi\)
\(42\) 4.34952 6.54198i 0.671146 1.00945i
\(43\) −1.56753 + 7.88051i −0.239046 + 1.20177i 0.655641 + 0.755073i \(0.272399\pi\)
−0.894687 + 0.446694i \(0.852601\pi\)
\(44\) 2.00250 + 2.96737i 0.301888 + 0.447348i
\(45\) 0.176565 0.264249i 0.0263208 0.0393919i
\(46\) 0.00602099 + 2.62285i 0.000887746 + 0.386719i
\(47\) −6.65222 + 6.65222i −0.970325 + 0.970325i −0.999572 0.0292469i \(-0.990689\pi\)
0.0292469 + 0.999572i \(0.490689\pi\)
\(48\) −6.91564 + 1.44174i −0.998186 + 0.208098i
\(49\) 2.04595 + 2.04595i 0.292279 + 0.292279i
\(50\) −2.12272 + 2.13249i −0.300198 + 0.301579i
\(51\) 1.85921 + 1.24228i 0.260342 + 0.173955i
\(52\) −2.49999 12.2735i −0.346686 1.70203i
\(53\) −0.674026 0.134072i −0.0925846 0.0184162i 0.148581 0.988900i \(-0.452530\pi\)
−0.241165 + 0.970484i \(0.577530\pi\)
\(54\) −1.41997 7.05403i −0.193234 0.959931i
\(55\) −4.41491 + 1.82872i −0.595306 + 0.246584i
\(56\) −0.0612673 8.89627i −0.00818719 1.18881i
\(57\) 6.94100 + 2.87506i 0.919358 + 0.380811i
\(58\) −10.4135 2.04653i −1.36735 0.268722i
\(59\) −2.59120 + 1.73138i −0.337345 + 0.225407i −0.712691 0.701478i \(-0.752524\pi\)
0.375346 + 0.926885i \(0.377524\pi\)
\(60\) −0.0432946 9.42992i −0.00558931 1.21740i
\(61\) 0.360949 + 1.81461i 0.0462147 + 0.232337i 0.996989 0.0775484i \(-0.0247092\pi\)
−0.950774 + 0.309886i \(0.899709\pi\)
\(62\) −0.614409 + 1.49300i −0.0780300 + 0.189611i
\(63\) −0.374427 −0.0471734
\(64\) −5.57841 + 5.73423i −0.697301 + 0.716779i
\(65\) 16.7201 2.07387
\(66\) 1.70132 4.13416i 0.209417 0.508879i
\(67\) −2.13440 10.7304i −0.260759 1.31092i −0.859976 0.510335i \(-0.829521\pi\)
0.599217 0.800587i \(-0.295479\pi\)
\(68\) 2.53219 0.0116258i 0.307074 0.00140984i
\(69\) 2.72344 1.81974i 0.327863 0.219071i
\(70\) 11.6528 + 2.29009i 1.39278 + 0.273719i
\(71\) 1.97842 + 0.819489i 0.234795 + 0.0972554i 0.496979 0.867763i \(-0.334443\pi\)
−0.262184 + 0.965018i \(0.584443\pi\)
\(72\) 0.239715 + 0.236436i 0.0282507 + 0.0278642i
\(73\) −13.1646 + 5.45295i −1.54080 + 0.638220i −0.981623 0.190829i \(-0.938882\pi\)
−0.559176 + 0.829049i \(0.688882\pi\)
\(74\) 0.683231 + 3.39409i 0.0794240 + 0.394555i
\(75\) 3.68533 + 0.733058i 0.425545 + 0.0846462i
\(76\) 8.33679 1.69812i 0.956295 0.194787i
\(77\) 4.68117 + 3.12785i 0.533468 + 0.356452i
\(78\) −11.0351 + 11.0859i −1.24948 + 1.25523i
\(79\) 0.102033 + 0.102033i 0.0114796 + 0.0114796i 0.712823 0.701344i \(-0.247416\pi\)
−0.701344 + 0.712823i \(0.747416\pi\)
\(80\) −6.01423 8.82444i −0.672412 0.986602i
\(81\) −6.60646 + 6.60646i −0.734052 + 0.734052i
\(82\) 0.0261475 + 11.3903i 0.00288751 + 1.25785i
\(83\) 5.13230 7.68102i 0.563343 0.843102i −0.435013 0.900424i \(-0.643256\pi\)
0.998356 + 0.0573223i \(0.0182563\pi\)
\(84\) −9.20918 + 6.21473i −1.00480 + 0.678082i
\(85\) −0.659446 + 3.31526i −0.0715270 + 0.359590i
\(86\) 6.29128 9.46251i 0.678406 1.02037i
\(87\) 5.07176 + 12.2443i 0.543750 + 1.31273i
\(88\) −1.02185 4.95847i −0.108929 0.528575i
\(89\) −4.64776 + 11.2207i −0.492662 + 1.18939i 0.460699 + 0.887557i \(0.347599\pi\)
−0.953360 + 0.301834i \(0.902401\pi\)
\(90\) −0.373130 + 0.250558i −0.0393313 + 0.0264112i
\(91\) −10.9441 16.3790i −1.14725 1.71698i
\(92\) 1.40373 3.43341i 0.146349 0.357958i
\(93\) 1.97743 0.393336i 0.205050 0.0407870i
\(94\) 12.2800 5.11959i 1.26658 0.528045i
\(95\) 11.3571i 1.16522i
\(96\) 9.82022 + 1.83645i 1.00227 + 0.187432i
\(97\) 12.8041i 1.30006i −0.759908 0.650031i \(-0.774756\pi\)
0.759908 0.650031i \(-0.225244\pi\)
\(98\) −1.57458 3.77683i −0.159057 0.381517i
\(99\) −0.208979 + 0.0415685i −0.0210032 + 0.00417779i
\(100\) 3.92379 1.64643i 0.392379 0.164643i
\(101\) −0.497823 0.745045i −0.0495352 0.0741347i 0.805875 0.592085i \(-0.201695\pi\)
−0.855411 + 0.517951i \(0.826695\pi\)
\(102\) −1.76289 2.62528i −0.174552 0.259942i
\(103\) −1.27589 + 3.08028i −0.125718 + 0.303509i −0.974190 0.225731i \(-0.927523\pi\)
0.848472 + 0.529240i \(0.177523\pi\)
\(104\) −3.33606 + 17.3968i −0.327128 + 1.70590i
\(105\) −5.67538 13.7016i −0.553861 1.33714i
\(106\) 0.809336 + 0.538097i 0.0786096 + 0.0522646i
\(107\) −1.20029 + 6.03426i −0.116036 + 0.583354i 0.878392 + 0.477940i \(0.158617\pi\)
−0.994428 + 0.105413i \(0.966383\pi\)
\(108\) −1.93940 + 9.98949i −0.186619 + 0.961239i
\(109\) 1.59700 2.39008i 0.152965 0.228928i −0.747071 0.664744i \(-0.768540\pi\)
0.900035 + 0.435817i \(0.143540\pi\)
\(110\) 6.75803 0.0155136i 0.644353 0.00147917i
\(111\) 3.05724 3.05724i 0.290181 0.290181i
\(112\) −4.70780 + 11.6675i −0.444846 + 1.10248i
\(113\) −0.395040 0.395040i −0.0371623 0.0371623i 0.688281 0.725444i \(-0.258365\pi\)
−0.725444 + 0.688281i \(0.758365\pi\)
\(114\) −7.53011 7.49562i −0.705260 0.702029i
\(115\) 4.11698 + 2.75088i 0.383910 + 0.256521i
\(116\) 12.5173 + 8.28092i 1.16220 + 0.768864i
\(117\) 0.731198 + 0.145444i 0.0675993 + 0.0134463i
\(118\) 4.32060 0.869736i 0.397743 0.0800657i
\(119\) 3.67926 1.52400i 0.337277 0.139705i
\(120\) −5.01852 + 12.3558i −0.458126 + 1.12792i
\(121\) −7.20273 2.98347i −0.654793 0.271224i
\(122\) 0.504566 2.56741i 0.0456813 0.232443i
\(123\) 11.8271 7.90265i 1.06642 0.712558i
\(124\) 1.60705 1.62187i 0.144317 0.145649i
\(125\) −1.49607 7.52124i −0.133812 0.672720i
\(126\) 0.489677 + 0.201515i 0.0436239 + 0.0179524i
\(127\) 20.8005 1.84574 0.922872 0.385108i \(-0.125836\pi\)
0.922872 + 0.385108i \(0.125836\pi\)
\(128\) 10.3816 4.49696i 0.917611 0.397479i
\(129\) −14.1903 −1.24938
\(130\) −21.8666 8.99867i −1.91782 0.789236i
\(131\) 0.204695 + 1.02907i 0.0178843 + 0.0899104i 0.988697 0.149930i \(-0.0479049\pi\)
−0.970812 + 0.239840i \(0.922905\pi\)
\(132\) −4.44997 + 4.49102i −0.387320 + 0.390893i
\(133\) 11.1254 7.43376i 0.964695 0.644589i
\(134\) −2.98365 + 15.1819i −0.257749 + 1.31152i
\(135\) −12.5497 5.19828i −1.08011 0.447396i
\(136\) −3.31787 1.34761i −0.284505 0.115557i
\(137\) 11.1139 4.60351i 0.949520 0.393304i 0.146470 0.989215i \(-0.453209\pi\)
0.803051 + 0.595911i \(0.203209\pi\)
\(138\) −4.54109 + 0.914121i −0.386563 + 0.0778151i
\(139\) −6.58030 1.30890i −0.558133 0.111020i −0.0920403 0.995755i \(-0.529339\pi\)
−0.466093 + 0.884736i \(0.654339\pi\)
\(140\) −14.0071 9.26649i −1.18381 0.783161i
\(141\) −13.8146 9.23062i −1.16340 0.777358i
\(142\) −2.14634 2.13651i −0.180117 0.179292i
\(143\) −7.92658 7.92658i −0.662854 0.662854i
\(144\) −0.186251 0.438224i −0.0155209 0.0365187i
\(145\) −14.1666 + 14.1666i −1.17647 + 1.17647i
\(146\) 20.1514 0.0462594i 1.66775 0.00382845i
\(147\) −2.83897 + 4.24881i −0.234154 + 0.350436i
\(148\) 0.933155 4.80651i 0.0767049 0.395093i
\(149\) −1.37106 + 6.89279i −0.112322 + 0.564680i 0.883107 + 0.469172i \(0.155448\pi\)
−0.995429 + 0.0955079i \(0.969552\pi\)
\(150\) −4.42515 2.94212i −0.361312 0.240223i
\(151\) 3.32014 + 8.01552i 0.270189 + 0.652293i 0.999491 0.0318981i \(-0.0101552\pi\)
−0.729302 + 0.684192i \(0.760155\pi\)
\(152\) −11.8168 2.26602i −0.958468 0.183799i
\(153\) −0.0576774 + 0.139246i −0.00466294 + 0.0112573i
\(154\) −4.43864 6.61000i −0.357676 0.532649i
\(155\) 1.69328 + 2.53417i 0.136007 + 0.203549i
\(156\) 20.3982 8.55913i 1.63316 0.685279i
\(157\) 5.32031 1.05828i 0.424607 0.0844596i 0.0218386 0.999762i \(-0.493048\pi\)
0.402768 + 0.915302i \(0.368048\pi\)
\(158\) −0.0785254 0.188353i −0.00624714 0.0149846i
\(159\) 1.21371i 0.0962531i
\(160\) 3.11615 + 14.7775i 0.246354 + 1.16826i
\(161\) 5.83356i 0.459749i
\(162\) 12.1955 5.08438i 0.958170 0.399466i
\(163\) 1.98707 0.395252i 0.155639 0.0309585i −0.116656 0.993172i \(-0.537217\pi\)
0.272295 + 0.962214i \(0.412217\pi\)
\(164\) 6.09604 14.9104i 0.476020 1.16431i
\(165\) −4.68874 7.01719i −0.365018 0.546288i
\(166\) −10.8459 + 7.28308i −0.841806 + 0.565277i
\(167\) 1.22945 2.96815i 0.0951375 0.229682i −0.869145 0.494557i \(-0.835330\pi\)
0.964283 + 0.264874i \(0.0853305\pi\)
\(168\) 15.3885 3.17129i 1.18725 0.244670i
\(169\) 10.0348 + 24.2263i 0.771911 + 1.86356i
\(170\) 2.64668 3.98079i 0.202991 0.305313i
\(171\) −0.0987931 + 0.496666i −0.00755490 + 0.0379810i
\(172\) −13.3204 + 8.98915i −1.01567 + 0.685417i
\(173\) −8.03014 + 12.0180i −0.610521 + 0.913709i −0.999973 0.00733795i \(-0.997664\pi\)
0.389453 + 0.921047i \(0.372664\pi\)
\(174\) −0.0430256 18.7427i −0.00326176 1.42088i
\(175\) 4.73206 4.73206i 0.357710 0.357710i
\(176\) −1.33225 + 7.03465i −0.100422 + 0.530257i
\(177\) −3.89179 3.89179i −0.292525 0.292525i
\(178\) 12.1173 12.1730i 0.908228 0.912407i
\(179\) −3.88955 2.59891i −0.290719 0.194252i 0.401655 0.915791i \(-0.368435\pi\)
−0.692374 + 0.721539i \(0.743435\pi\)
\(180\) 0.622829 0.126864i 0.0464230 0.00945587i
\(181\) 6.66273 + 1.32530i 0.495237 + 0.0985088i 0.436389 0.899758i \(-0.356257\pi\)
0.0588482 + 0.998267i \(0.481257\pi\)
\(182\) 5.49759 + 27.3105i 0.407509 + 2.02439i
\(183\) −3.01881 + 1.25043i −0.223157 + 0.0924345i
\(184\) −3.68365 + 3.73474i −0.271562 + 0.275329i
\(185\) 6.03840 + 2.50119i 0.443952 + 0.183891i
\(186\) −2.79778 0.549840i −0.205143 0.0403162i
\(187\) 1.88431 1.25906i 0.137794 0.0920713i
\(188\) −18.8151 + 0.0863839i −1.37223 + 0.00630019i
\(189\) 3.12217 + 15.6962i 0.227104 + 1.14173i
\(190\) 6.11235 14.8529i 0.443436 1.07754i
\(191\) −11.5951 −0.838989 −0.419495 0.907758i \(-0.637793\pi\)
−0.419495 + 0.907758i \(0.637793\pi\)
\(192\) −11.8545 7.68691i −0.855527 0.554755i
\(193\) −12.0011 −0.863855 −0.431927 0.901908i \(-0.642166\pi\)
−0.431927 + 0.901908i \(0.642166\pi\)
\(194\) −6.89112 + 16.7453i −0.494754 + 1.20224i
\(195\) 5.76083 + 28.9616i 0.412541 + 2.07399i
\(196\) 0.0265682 + 5.78677i 0.00189773 + 0.413341i
\(197\) 3.45531 2.30877i 0.246181 0.164493i −0.426358 0.904554i \(-0.640204\pi\)
0.672539 + 0.740062i \(0.265204\pi\)
\(198\) 0.295675 + 0.0581082i 0.0210127 + 0.00412957i
\(199\) 16.6804 + 6.90923i 1.18244 + 0.489782i 0.885286 0.465047i \(-0.153963\pi\)
0.297154 + 0.954830i \(0.403963\pi\)
\(200\) −6.01765 + 0.0414427i −0.425512 + 0.00293044i
\(201\) 17.8511 7.39419i 1.25912 0.521546i
\(202\) 0.250074 + 1.24230i 0.0175952 + 0.0874077i
\(203\) 23.1503 + 4.60487i 1.62483 + 0.323199i
\(204\) 0.892593 + 4.38213i 0.0624940 + 0.306810i
\(205\) 17.8789 + 11.9463i 1.24872 + 0.834367i
\(206\) 3.32641 3.34172i 0.231762 0.232829i
\(207\) 0.156113 + 0.156113i 0.0108506 + 0.0108506i
\(208\) 13.7258 20.9561i 0.951713 1.45305i
\(209\) 5.38413 5.38413i 0.372428 0.372428i
\(210\) 0.0481463 + 20.9734i 0.00332241 + 1.44730i
\(211\) −8.80598 + 13.1791i −0.606229 + 0.907286i −0.999929 0.0119535i \(-0.996195\pi\)
0.393700 + 0.919239i \(0.371195\pi\)
\(212\) −0.768849 1.13931i −0.0528048 0.0782478i
\(213\) −0.737818 + 3.70926i −0.0505545 + 0.254155i
\(214\) 4.81735 7.24562i 0.329307 0.495301i
\(215\) −8.20904 19.8184i −0.559852 1.35160i
\(216\) 7.91265 12.0205i 0.538388 0.817892i
\(217\) 1.37414 3.31746i 0.0932825 0.225204i
\(218\) −3.37488 + 2.26625i −0.228576 + 0.153490i
\(219\) −13.9811 20.9242i −0.944756 1.41393i
\(220\) −8.84652 3.61685i −0.596432 0.243848i
\(221\) −7.77700 + 1.54694i −0.523138 + 0.104059i
\(222\) −5.64366 + 2.35287i −0.378778 + 0.157915i
\(223\) 9.77843i 0.654812i 0.944884 + 0.327406i \(0.106174\pi\)
−0.944884 + 0.327406i \(0.893826\pi\)
\(224\) 12.4363 12.7251i 0.830934 0.850231i
\(225\) 0.253272i 0.0168848i
\(226\) 0.304026 + 0.729244i 0.0202235 + 0.0485086i
\(227\) −8.30819 + 1.65260i −0.551434 + 0.109687i −0.462940 0.886390i \(-0.653205\pi\)
−0.0884942 + 0.996077i \(0.528205\pi\)
\(228\) 5.81379 + 13.8555i 0.385028 + 0.917600i
\(229\) −7.11294 10.6453i −0.470037 0.703459i 0.518393 0.855143i \(-0.326531\pi\)
−0.988429 + 0.151683i \(0.951531\pi\)
\(230\) −3.90368 5.81334i −0.257401 0.383320i
\(231\) −3.80503 + 9.18615i −0.250352 + 0.604404i
\(232\) −11.9134 17.5666i −0.782153 1.15330i
\(233\) −1.63989 3.95906i −0.107433 0.259366i 0.861016 0.508578i \(-0.169829\pi\)
−0.968449 + 0.249211i \(0.919829\pi\)
\(234\) −0.877985 0.583740i −0.0573957 0.0381603i
\(235\) 4.89992 24.6336i 0.319636 1.60692i
\(236\) −6.11857 1.18788i −0.398285 0.0773246i
\(237\) −0.141581 + 0.211891i −0.00919669 + 0.0137638i
\(238\) −5.63195 + 0.0129286i −0.365065 + 0.000838038i
\(239\) 10.5905 10.5905i 0.685040 0.685040i −0.276091 0.961131i \(-0.589039\pi\)
0.961131 + 0.276091i \(0.0890392\pi\)
\(240\) 13.2130 13.4579i 0.852898 0.868707i
\(241\) −2.17798 2.17798i −0.140296 0.140296i 0.633471 0.773767i \(-0.281630\pi\)
−0.773767 + 0.633471i \(0.781630\pi\)
\(242\) 7.81405 + 7.77826i 0.502306 + 0.500005i
\(243\) −1.02802 0.686898i −0.0659472 0.0440645i
\(244\) −2.04164 + 3.08611i −0.130703 + 0.197568i
\(245\) −7.57629 1.50702i −0.484032 0.0962799i
\(246\) −19.7207 + 3.96978i −1.25735 + 0.253104i
\(247\) −24.6138 + 10.1954i −1.56614 + 0.648715i
\(248\) −2.97459 + 1.25618i −0.188887 + 0.0797677i
\(249\) 15.0730 + 6.24342i 0.955210 + 0.395661i
\(250\) −2.09134 + 10.6415i −0.132268 + 0.673025i
\(251\) −20.0734 + 13.4126i −1.26702 + 0.846596i −0.993340 0.115224i \(-0.963241\pi\)
−0.273682 + 0.961820i \(0.588241\pi\)
\(252\) −0.531946 0.527084i −0.0335094 0.0332031i
\(253\) −0.647635 3.25588i −0.0407165 0.204695i
\(254\) −27.2029 11.1947i −1.70686 0.702419i
\(255\) −5.96972 −0.373839
\(256\) −15.9973 + 0.293818i −0.999831 + 0.0183636i
\(257\) 19.3207 1.20519 0.602595 0.798047i \(-0.294134\pi\)
0.602595 + 0.798047i \(0.294134\pi\)
\(258\) 18.5581 + 7.63714i 1.15538 + 0.475468i
\(259\) −1.50225 7.55234i −0.0933455 0.469280i
\(260\) 23.7541 + 23.5370i 1.47317 + 1.45970i
\(261\) −0.742762 + 0.496298i −0.0459758 + 0.0307201i
\(262\) 0.286141 1.45599i 0.0176778 0.0899512i
\(263\) −25.8007 10.6870i −1.59094 0.658990i −0.600844 0.799366i \(-0.705169\pi\)
−0.990098 + 0.140377i \(0.955169\pi\)
\(264\) 8.23672 3.47841i 0.506935 0.214081i
\(265\) 1.69508 0.702125i 0.104128 0.0431312i
\(266\) −18.5506 + 3.73424i −1.13741 + 0.228961i
\(267\) −21.0372 4.18457i −1.28746 0.256091i
\(268\) 12.0729 18.2491i 0.737467 1.11474i
\(269\) −13.5221 9.03520i −0.824459 0.550886i 0.0702534 0.997529i \(-0.477619\pi\)
−0.894712 + 0.446644i \(0.852619\pi\)
\(270\) 13.6149 + 13.5525i 0.828576 + 0.824781i
\(271\) 2.46801 + 2.46801i 0.149921 + 0.149921i 0.778083 0.628162i \(-0.216192\pi\)
−0.628162 + 0.778083i \(0.716192\pi\)
\(272\) 3.61383 + 3.54807i 0.219121 + 0.215133i
\(273\) 24.6000 24.6000i 1.48886 1.48886i
\(274\) −17.0123 + 0.0390532i −1.02775 + 0.00235929i
\(275\) 2.11575 3.16645i 0.127585 0.190944i
\(276\) 6.43082 + 1.24850i 0.387090 + 0.0751511i
\(277\) 5.37681 27.0311i 0.323061 1.62414i −0.388453 0.921468i \(-0.626991\pi\)
0.711515 0.702671i \(-0.248009\pi\)
\(278\) 7.90128 + 5.25327i 0.473887 + 0.315070i
\(279\) 0.0520058 + 0.125553i 0.00311350 + 0.00751667i
\(280\) 13.3313 + 19.6573i 0.796697 + 1.17475i
\(281\) 5.74296 13.8647i 0.342596 0.827101i −0.654855 0.755754i \(-0.727270\pi\)
0.997452 0.0713465i \(-0.0227296\pi\)
\(282\) 13.0989 + 19.5068i 0.780027 + 1.16161i
\(283\) 15.0536 + 22.5293i 0.894845 + 1.33923i 0.940329 + 0.340265i \(0.110517\pi\)
−0.0454844 + 0.998965i \(0.514483\pi\)
\(284\) 1.65713 + 3.94927i 0.0983324 + 0.234346i
\(285\) −19.6722 + 3.91304i −1.16528 + 0.231789i
\(286\) 6.10035 + 14.6325i 0.360721 + 0.865235i
\(287\) 25.3336i 1.49539i
\(288\) 0.00772899 + 0.673350i 0.000455435 + 0.0396775i
\(289\) 15.3970i 0.905704i
\(290\) 26.1515 10.9027i 1.53567 0.640229i
\(291\) 22.1786 4.41160i 1.30013 0.258613i
\(292\) −26.3790 10.7849i −1.54371 0.631139i
\(293\) 11.8816 + 17.7821i 0.694132 + 1.03884i 0.996330 + 0.0855963i \(0.0272795\pi\)
−0.302198 + 0.953245i \(0.597720\pi\)
\(294\) 5.99950 4.02869i 0.349898 0.234958i
\(295\) 3.18395 7.68673i 0.185377 0.447539i
\(296\) −3.80723 + 5.78375i −0.221291 + 0.336174i
\(297\) 3.48515 + 8.41390i 0.202229 + 0.488224i
\(298\) 5.50275 8.27651i 0.318766 0.479445i
\(299\) −2.26601 + 11.3920i −0.131047 + 0.658818i
\(300\) 4.20379 + 6.22931i 0.242706 + 0.359649i
\(301\) −14.0408 + 21.0136i −0.809300 + 1.21120i
\(302\) −0.0281659 12.2696i −0.00162077 0.706035i
\(303\) 1.11900 1.11900i 0.0642851 0.0642851i
\(304\) 14.2345 + 9.32325i 0.816402 + 0.534725i
\(305\) −3.49274 3.49274i −0.199994 0.199994i
\(306\) 0.150372 0.151064i 0.00859620 0.00863575i
\(307\) 20.8525 + 13.9332i 1.19011 + 0.795209i 0.983089 0.183127i \(-0.0586219\pi\)
0.207025 + 0.978336i \(0.433622\pi\)
\(308\) 2.24739 + 11.0334i 0.128057 + 0.628687i
\(309\) −5.77510 1.14874i −0.328534 0.0653495i
\(310\) −0.850594 4.22551i −0.0483105 0.239993i
\(311\) 12.4907 5.17383i 0.708284 0.293381i 0.000689814 1.00000i \(-0.499780\pi\)
0.707594 + 0.706619i \(0.249780\pi\)
\(312\) −31.2832 + 0.215443i −1.77107 + 0.0121971i
\(313\) 9.36192 + 3.87784i 0.529167 + 0.219188i 0.631238 0.775589i \(-0.282547\pi\)
−0.102071 + 0.994777i \(0.532547\pi\)
\(314\) −7.52747 1.47935i −0.424800 0.0834846i
\(315\) 0.831163 0.555365i 0.0468307 0.0312913i
\(316\) 0.00132497 + 0.288590i 7.45357e−5 + 0.0162345i
\(317\) −1.93405 9.72312i −0.108627 0.546105i −0.996323 0.0856750i \(-0.972695\pi\)
0.887696 0.460430i \(-0.152305\pi\)
\(318\) −0.653211 + 1.58729i −0.0366302 + 0.0890106i
\(319\) 13.4321 0.752052
\(320\) 3.87784 21.0031i 0.216778 1.17411i
\(321\) −10.8658 −0.606468
\(322\) −3.13959 + 7.62913i −0.174963 + 0.425155i
\(323\) −1.05076 5.28253i −0.0584659 0.293928i
\(324\) −18.6857 + 0.0857898i −1.03809 + 0.00476610i
\(325\) −11.0791 + 7.40282i −0.614558 + 0.410635i
\(326\) −2.81141 0.552518i −0.155710 0.0306012i
\(327\) 4.69020 + 1.94274i 0.259369 + 0.107434i
\(328\) −15.9971 + 16.2190i −0.883292 + 0.895543i
\(329\) −27.3382 + 11.3238i −1.50720 + 0.624304i
\(330\) 2.35532 + 11.7006i 0.129656 + 0.644094i
\(331\) −17.7915 3.53895i −0.977909 0.194518i −0.319836 0.947473i \(-0.603628\pi\)
−0.658072 + 0.752955i \(0.728628\pi\)
\(332\) 18.1040 3.68760i 0.993588 0.202383i
\(333\) 0.242312 + 0.161908i 0.0132786 + 0.00887250i
\(334\) −3.20532 + 3.22007i −0.175387 + 0.176194i
\(335\) 20.6537 + 20.6537i 1.12843 + 1.12843i
\(336\) −21.8319 4.13461i −1.19103 0.225562i
\(337\) 6.93868 6.93868i 0.377974 0.377974i −0.492397 0.870371i \(-0.663879\pi\)
0.870371 + 0.492397i \(0.163879\pi\)
\(338\) −0.0851292 37.0839i −0.00463042 2.01710i
\(339\) 0.548158 0.820377i 0.0297719 0.0445568i
\(340\) −5.60378 + 3.78166i −0.303908 + 0.205089i
\(341\) 0.398646 2.00413i 0.0215879 0.108530i
\(342\) 0.396505 0.596371i 0.0214406 0.0322481i
\(343\) −4.94303 11.9335i −0.266899 0.644350i
\(344\) 22.2584 4.58704i 1.20009 0.247317i
\(345\) −3.34643 + 8.07901i −0.180166 + 0.434959i
\(346\) 16.9698 11.3953i 0.912305 0.612616i
\(347\) 13.9556 + 20.8861i 0.749178 + 1.12122i 0.988638 + 0.150318i \(0.0480297\pi\)
−0.239460 + 0.970906i \(0.576970\pi\)
\(348\) −10.0310 + 24.5349i −0.537717 + 1.31521i
\(349\) 2.23013 0.443600i 0.119376 0.0237453i −0.135041 0.990840i \(-0.543117\pi\)
0.254417 + 0.967095i \(0.418117\pi\)
\(350\) −8.73537 + 3.64182i −0.466925 + 0.194664i
\(351\) 31.8650i 1.70083i
\(352\) 5.52834 8.48292i 0.294661 0.452141i
\(353\) 13.4949i 0.718259i 0.933288 + 0.359129i \(0.116926\pi\)
−0.933288 + 0.359129i \(0.883074\pi\)
\(354\) 2.99515 + 7.18424i 0.159190 + 0.381838i
\(355\) −5.60724 + 1.11535i −0.297601 + 0.0591966i
\(356\) −22.3985 + 9.39846i −1.18712 + 0.498117i
\(357\) 3.90746 + 5.84792i 0.206805 + 0.309505i
\(358\) 3.68804 + 5.49220i 0.194919 + 0.290272i
\(359\) −7.94195 + 19.1736i −0.419160 + 1.01194i 0.563431 + 0.826163i \(0.309481\pi\)
−0.982592 + 0.185779i \(0.940519\pi\)
\(360\) −0.882815 0.169291i −0.0465284 0.00892242i
\(361\) 0.345785 + 0.834799i 0.0181992 + 0.0439368i
\(362\) −8.00027 5.31908i −0.420485 0.279565i
\(363\) 2.68613 13.5041i 0.140986 0.708782i
\(364\) 7.50860 38.6755i 0.393558 2.02715i
\(365\) 21.1350 31.6308i 1.10626 1.65563i
\(366\) 4.62098 0.0106079i 0.241542 0.000554482i
\(367\) −9.25700 + 9.25700i −0.483212 + 0.483212i −0.906156 0.422944i \(-0.860997\pi\)
0.422944 + 0.906156i \(0.360997\pi\)
\(368\) 6.82751 2.90178i 0.355908 0.151266i
\(369\) 0.677958 + 0.677958i 0.0352931 + 0.0352931i
\(370\) −6.55090 6.52089i −0.340565 0.339005i
\(371\) −1.79731 1.20092i −0.0933115 0.0623488i
\(372\) 3.36302 + 2.22484i 0.174365 + 0.115352i
\(373\) 12.7838 + 2.54286i 0.661920 + 0.131664i 0.514608 0.857426i \(-0.327938\pi\)
0.147313 + 0.989090i \(0.452938\pi\)
\(374\) −3.14192 + 0.632469i −0.162465 + 0.0327042i
\(375\) 12.5124 5.18281i 0.646139 0.267639i
\(376\) 24.6529 + 10.0132i 1.27138 + 0.516393i
\(377\) −43.4201 17.9852i −2.23625 0.926284i
\(378\) 4.36445 22.2079i 0.224483 1.14225i
\(379\) 4.61576 3.08415i 0.237096 0.158422i −0.431347 0.902186i \(-0.641961\pi\)
0.668442 + 0.743764i \(0.266961\pi\)
\(380\) −15.9875 + 16.1350i −0.820141 + 0.827706i
\(381\) 7.16670 + 36.0294i 0.367161 + 1.84584i
\(382\) 15.1640 + 6.24041i 0.775860 + 0.319287i
\(383\) −7.81378 −0.399265 −0.199633 0.979871i \(-0.563975\pi\)
−0.199633 + 0.979871i \(0.563975\pi\)
\(384\) 11.3663 + 16.4330i 0.580035 + 0.838594i
\(385\) −15.0307 −0.766036
\(386\) 15.6950 + 6.45891i 0.798855 + 0.328750i
\(387\) −0.186600 0.938100i −0.00948539 0.0476863i
\(388\) 18.0244 18.1907i 0.915052 0.923493i
\(389\) −18.4653 + 12.3381i −0.936227 + 0.625567i −0.927270 0.374393i \(-0.877851\pi\)
−0.00895652 + 0.999960i \(0.502851\pi\)
\(390\) 8.05300 40.9765i 0.407779 2.07493i
\(391\) −2.16944 0.898611i −0.109713 0.0454447i
\(392\) 3.07967 7.58225i 0.155547 0.382961i
\(393\) −1.71197 + 0.709123i −0.0863577 + 0.0357705i
\(394\) −5.76143 + 1.15978i −0.290257 + 0.0584286i
\(395\) −0.377835 0.0751561i −0.0190109 0.00378151i
\(396\) −0.355411 0.235125i −0.0178601 0.0118155i
\(397\) 24.6132 + 16.4460i 1.23530 + 0.825403i 0.989587 0.143938i \(-0.0459767\pi\)
0.245717 + 0.969342i \(0.420977\pi\)
\(398\) −18.0961 18.0132i −0.907075 0.902920i
\(399\) 16.7096 + 16.7096i 0.836524 + 0.836524i
\(400\) 7.89219 + 3.18447i 0.394610 + 0.159223i
\(401\) −14.2585 + 14.2585i −0.712035 + 0.712035i −0.966961 0.254926i \(-0.917949\pi\)
0.254926 + 0.966961i \(0.417949\pi\)
\(402\) −27.3253 + 0.0627275i −1.36286 + 0.00312857i
\(403\) −3.97213 + 5.94471i −0.197866 + 0.296127i
\(404\) 0.341551 1.75927i 0.0169928 0.0875268i
\(405\) 4.86622 24.4641i 0.241804 1.21563i
\(406\) −27.7976 18.4816i −1.37957 0.917227i
\(407\) −1.67691 4.04841i −0.0831211 0.200672i
\(408\) 1.19110 6.21134i 0.0589684 0.307507i
\(409\) 5.63715 13.6093i 0.278739 0.672936i −0.721062 0.692871i \(-0.756346\pi\)
0.999801 + 0.0199343i \(0.00634571\pi\)
\(410\) −16.9526 25.2458i −0.837231 1.24680i
\(411\) 11.8032 + 17.6647i 0.582208 + 0.871335i
\(412\) −6.14878 + 2.58005i −0.302929 + 0.127110i
\(413\) −9.61394 + 1.91233i −0.473071 + 0.0940997i
\(414\) −0.120146 0.288185i −0.00590484 0.0141635i
\(415\) 24.6629i 1.21066i
\(416\) −29.2291 + 20.0193i −1.43308 + 0.981528i
\(417\) 11.8490i 0.580248i
\(418\) −9.93909 + 4.14366i −0.486137 + 0.202673i
\(419\) 7.40447 1.47284i 0.361732 0.0719529i −0.0108785 0.999941i \(-0.503463\pi\)
0.372610 + 0.927988i \(0.378463\pi\)
\(420\) 11.2248 27.4550i 0.547716 1.33967i
\(421\) 1.83572 + 2.74735i 0.0894674 + 0.133897i 0.873504 0.486818i \(-0.161842\pi\)
−0.784036 + 0.620715i \(0.786842\pi\)
\(422\) 18.6094 12.4963i 0.905892 0.608310i
\(423\) 0.428564 1.03464i 0.0208375 0.0503061i
\(424\) 0.392333 + 1.90378i 0.0190534 + 0.0924556i
\(425\) −1.03087 2.48874i −0.0500045 0.120721i
\(426\) 2.96123 4.45389i 0.143472 0.215792i
\(427\) −1.13532 + 5.70764i −0.0549420 + 0.276212i
\(428\) −10.1997 + 6.88317i −0.493021 + 0.332710i
\(429\) 10.9989 16.4611i 0.531033 0.794748i
\(430\) 0.0696402 + 30.3366i 0.00335835 + 1.46296i
\(431\) −23.3124 + 23.3124i −1.12292 + 1.12292i −0.131620 + 0.991300i \(0.542018\pi\)
−0.991300 + 0.131620i \(0.957982\pi\)
\(432\) −16.8176 + 11.4619i −0.809135 + 0.551460i
\(433\) 4.04942 + 4.04942i 0.194603 + 0.194603i 0.797682 0.603079i \(-0.206060\pi\)
−0.603079 + 0.797682i \(0.706060\pi\)
\(434\) −3.58254 + 3.59903i −0.171968 + 0.172759i
\(435\) −29.4197 19.6576i −1.41056 0.942509i
\(436\) 5.63336 1.14746i 0.269789 0.0549533i
\(437\) −7.73803 1.53919i −0.370160 0.0736294i
\(438\) 7.02321 + 34.8893i 0.335582 + 1.66707i
\(439\) 20.7711 8.60367i 0.991350 0.410631i 0.172732 0.984969i \(-0.444740\pi\)
0.818618 + 0.574338i \(0.194740\pi\)
\(440\) 9.62292 + 9.49128i 0.458755 + 0.452479i
\(441\) −0.318215 0.131809i −0.0151531 0.00627662i
\(442\) 11.0033 + 2.16245i 0.523375 + 0.102857i
\(443\) 29.3173 19.5892i 1.39291 0.930711i 0.392970 0.919551i \(-0.371447\pi\)
0.999938 0.0111603i \(-0.00355252\pi\)
\(444\) 8.64710 0.0397005i 0.410373 0.00188410i
\(445\) −6.32575 31.8017i −0.299869 1.50754i
\(446\) 5.26270 12.7882i 0.249196 0.605541i
\(447\) −12.4117 −0.587054
\(448\) −23.1128 + 9.94876i −1.09198 + 0.470035i
\(449\) −4.34734 −0.205163 −0.102582 0.994725i \(-0.532710\pi\)
−0.102582 + 0.994725i \(0.532710\pi\)
\(450\) 0.136310 0.331229i 0.00642569 0.0156143i
\(451\) −2.81250 14.1394i −0.132436 0.665799i
\(452\) −0.00512989 1.11733i −0.000241290 0.0525548i
\(453\) −12.7401 + 8.51267i −0.598582 + 0.399960i
\(454\) 11.7549 + 2.31015i 0.551685 + 0.108421i
\(455\) 48.5878 + 20.1257i 2.27783 + 0.943508i
\(456\) −0.146340 21.2491i −0.00685299 0.995083i
\(457\) 4.60193 1.90618i 0.215269 0.0891674i −0.272443 0.962172i \(-0.587832\pi\)
0.487712 + 0.873005i \(0.337832\pi\)
\(458\) 3.57308 + 17.7501i 0.166959 + 0.829406i
\(459\) 6.31820 + 1.25677i 0.294908 + 0.0586609i
\(460\) 1.97653 + 9.70364i 0.0921562 + 0.452435i
\(461\) −2.25897 1.50940i −0.105211 0.0702997i 0.501852 0.864954i \(-0.332652\pi\)
−0.607063 + 0.794654i \(0.707652\pi\)
\(462\) 9.92016 9.96581i 0.461528 0.463652i
\(463\) −15.5966 15.5966i −0.724834 0.724834i 0.244752 0.969586i \(-0.421293\pi\)
−0.969586 + 0.244752i \(0.921293\pi\)
\(464\) 6.12613 + 29.3853i 0.284398 + 1.36418i
\(465\) −3.80614 + 3.80614i −0.176506 + 0.176506i
\(466\) 0.0139118 + 6.06025i 0.000644453 + 0.280735i
\(467\) 4.30970 6.44993i 0.199429 0.298467i −0.718253 0.695782i \(-0.755058\pi\)
0.917682 + 0.397315i \(0.130058\pi\)
\(468\) 0.834064 + 1.23594i 0.0385546 + 0.0571315i
\(469\) 6.71350 33.7511i 0.310001 1.55848i
\(470\) −19.6658 + 29.5787i −0.907115 + 1.36436i
\(471\) 3.66618 + 8.85093i 0.168928 + 0.407829i
\(472\) 7.36257 + 4.84650i 0.338890 + 0.223078i
\(473\) −5.50370 + 13.2871i −0.253060 + 0.610942i
\(474\) 0.299199 0.200914i 0.0137427 0.00922826i
\(475\) −5.02837 7.52549i −0.230717 0.345293i
\(476\) 7.37243 + 3.01418i 0.337915 + 0.138155i
\(477\) 0.0802364 0.0159600i 0.00367377 0.000730758i
\(478\) −19.5500 + 8.15049i −0.894195 + 0.372795i
\(479\) 2.22366i 0.101602i 0.998709 + 0.0508009i \(0.0161774\pi\)
−0.998709 + 0.0508009i \(0.983823\pi\)
\(480\) −24.5230 + 10.4891i −1.11932 + 0.478761i
\(481\) 15.3321i 0.699083i
\(482\) 1.67619 + 4.02055i 0.0763484 + 0.183131i
\(483\) 10.1046 2.00992i 0.459774 0.0914547i
\(484\) −6.03301 14.3779i −0.274228 0.653541i
\(485\) 18.9916 + 28.4229i 0.862363 + 1.29062i
\(486\) 0.974755 + 1.45160i 0.0442158 + 0.0658459i
\(487\) −14.2601 + 34.4270i −0.646187 + 1.56003i 0.172009 + 0.985095i \(0.444974\pi\)
−0.818196 + 0.574939i \(0.805026\pi\)
\(488\) 4.33099 2.93722i 0.196055 0.132962i
\(489\) 1.36927 + 3.30571i 0.0619204 + 0.149489i
\(490\) 9.09722 + 6.04841i 0.410970 + 0.273239i
\(491\) 7.46638 37.5360i 0.336953 1.69398i −0.326044 0.945355i \(-0.605716\pi\)
0.662997 0.748622i \(-0.269284\pi\)
\(492\) 27.9273 + 5.42192i 1.25906 + 0.244439i
\(493\) 5.27861 7.89999i 0.237737 0.355798i
\(494\) 37.6770 0.0864909i 1.69517 0.00389141i
\(495\) 0.402241 0.402241i 0.0180794 0.0180794i
\(496\) 4.56624 0.0419299i 0.205030 0.00188271i
\(497\) 4.76279 + 4.76279i 0.213640 + 0.213640i
\(498\) −16.3523 16.2774i −0.732762 0.729406i
\(499\) −18.1987 12.1600i −0.814685 0.544355i 0.0769897 0.997032i \(-0.475469\pi\)
−0.891675 + 0.452677i \(0.850469\pi\)
\(500\) 8.46224 12.7914i 0.378443 0.572048i
\(501\) 5.56487 + 1.10692i 0.248620 + 0.0494536i
\(502\) 33.4706 6.73763i 1.49387 0.300715i
\(503\) 35.5491 14.7249i 1.58505 0.656551i 0.595850 0.803096i \(-0.296815\pi\)
0.989204 + 0.146545i \(0.0468153\pi\)
\(504\) 0.412006 + 0.975612i 0.0183522 + 0.0434572i
\(505\) 2.21016 + 0.915477i 0.0983507 + 0.0407382i
\(506\) −0.905322 + 4.60660i −0.0402465 + 0.204788i
\(507\) −38.5060 + 25.7289i −1.71011 + 1.14266i
\(508\) 29.5511 + 29.2809i 1.31112 + 1.29913i
\(509\) −3.48480 17.5193i −0.154461 0.776529i −0.977892 0.209112i \(-0.932943\pi\)
0.823430 0.567417i \(-0.192057\pi\)
\(510\) 7.80721 + 3.21288i 0.345709 + 0.142269i
\(511\) −44.8193 −1.98269
\(512\) 21.0794 + 8.22542i 0.931588 + 0.363516i
\(513\) 21.6443 0.955620
\(514\) −25.2676 10.3983i −1.11451 0.458649i
\(515\) −1.73653 8.73014i −0.0765207 0.384696i
\(516\) −20.1600 19.9757i −0.887495 0.879383i
\(517\) −14.0011 + 9.35524i −0.615768 + 0.411443i
\(518\) −2.09998 + 10.6855i −0.0922680 + 0.469493i
\(519\) −23.5836 9.76865i −1.03521 0.428796i
\(520\) −18.3982 43.5660i −0.806812 1.91050i
\(521\) 13.5272 5.60316i 0.592639 0.245479i −0.0661468 0.997810i \(-0.521071\pi\)
0.658785 + 0.752331i \(0.271071\pi\)
\(522\) 1.23849 0.249308i 0.0542073 0.0109119i
\(523\) −23.5557 4.68553i −1.03002 0.204884i −0.348980 0.937130i \(-0.613472\pi\)
−0.681040 + 0.732246i \(0.738472\pi\)
\(524\) −1.15782 + 1.75014i −0.0505796 + 0.0764553i
\(525\) 9.82702 + 6.56621i 0.428886 + 0.286573i
\(526\) 27.9906 + 27.8623i 1.22045 + 1.21486i
\(527\) −1.02205 1.02205i −0.0445214 0.0445214i
\(528\) −12.6441 + 0.116105i −0.550262 + 0.00505283i
\(529\) 13.8312 13.8312i 0.601357 0.601357i
\(530\) −2.59471 + 0.00595638i −0.112707 + 0.000258728i
\(531\) 0.206105 0.308457i 0.00894418 0.0133859i
\(532\) 26.2703 + 5.10022i 1.13896 + 0.221123i
\(533\) −9.84069 + 49.4725i −0.426247 + 2.14289i
\(534\) 25.2604 + 16.7947i 1.09313 + 0.726779i
\(535\) −6.28581 15.1753i −0.271759 0.656085i
\(536\) −25.6105 + 17.3687i −1.10621 + 0.750213i
\(537\) 3.16157 7.63271i 0.136432 0.329376i
\(538\) 12.8216 + 19.0938i 0.552777 + 0.823192i
\(539\) 2.87729 + 4.30618i 0.123934 + 0.185480i
\(540\) −10.5117 25.0515i −0.452351 1.07804i
\(541\) 12.8082 2.54771i 0.550668 0.109535i 0.0880890 0.996113i \(-0.471924\pi\)
0.462579 + 0.886578i \(0.346924\pi\)
\(542\) −1.89939 4.55594i −0.0815860 0.195694i
\(543\) 11.9975i 0.514860i
\(544\) −2.81662 6.58512i −0.120762 0.282335i
\(545\) 7.67427i 0.328730i
\(546\) −45.4115 + 18.9323i −1.94343 + 0.810229i
\(547\) −26.9082 + 5.35238i −1.15051 + 0.228851i −0.733266 0.679942i \(-0.762005\pi\)
−0.417247 + 0.908793i \(0.637005\pi\)
\(548\) 22.2697 + 9.10487i 0.951316 + 0.388941i
\(549\) −0.122361 0.183126i −0.00522224 0.00781564i
\(550\) −4.47116 + 3.00240i −0.190651 + 0.128023i
\(551\) 12.2164 29.4931i 0.520438 1.25645i
\(552\) −7.73830 5.09384i −0.329364 0.216808i
\(553\) 0.173688 + 0.419319i 0.00738595 + 0.0178313i
\(554\) −21.5798 + 32.4575i −0.916838 + 1.37899i
\(555\) −2.25192 + 11.3212i −0.0955886 + 0.480556i
\(556\) −7.50602 11.1227i −0.318326 0.471706i
\(557\) 6.63444 9.92914i 0.281110 0.420711i −0.663865 0.747852i \(-0.731085\pi\)
0.944976 + 0.327141i \(0.106085\pi\)
\(558\) −0.000441184 0.192188i −1.86768e−5 0.00813596i
\(559\) 35.5821 35.5821i 1.50496 1.50496i
\(560\) −6.85523 32.8826i −0.289686 1.38955i
\(561\) 2.83010 + 2.83010i 0.119487 + 0.119487i
\(562\) −14.9726 + 15.0415i −0.631581 + 0.634487i
\(563\) −27.6327 18.4636i −1.16458 0.778148i −0.185705 0.982606i \(-0.559457\pi\)
−0.978875 + 0.204458i \(0.934457\pi\)
\(564\) −6.63228 32.5607i −0.279270 1.37105i
\(565\) 1.46286 + 0.290981i 0.0615429 + 0.0122417i
\(566\) −7.56197 37.5657i −0.317853 1.57900i
\(567\) −27.1502 + 11.2460i −1.14020 + 0.472286i
\(568\) −0.0417118 6.05673i −0.00175019 0.254135i
\(569\) −31.9367 13.2286i −1.33886 0.554572i −0.405687 0.914012i \(-0.632968\pi\)
−0.933168 + 0.359440i \(0.882968\pi\)
\(570\) 27.8333 + 5.47000i 1.16581 + 0.229113i
\(571\) 18.6137 12.4373i 0.778959 0.520484i −0.101369 0.994849i \(-0.532322\pi\)
0.880328 + 0.474365i \(0.157322\pi\)
\(572\) −0.102932 22.4195i −0.00430382 0.937408i
\(573\) −3.99502 20.0843i −0.166895 0.839035i
\(574\) −13.6344 + 33.1313i −0.569089 + 1.38287i
\(575\) −3.94595 −0.164558
\(576\) 0.352286 0.884768i 0.0146786 0.0368653i
\(577\) −46.1161 −1.91984 −0.959920 0.280274i \(-0.909575\pi\)
−0.959920 + 0.280274i \(0.909575\pi\)
\(578\) 8.28657 20.1362i 0.344676 0.837555i
\(579\) −4.13491 20.7876i −0.171841 0.863902i
\(580\) −40.0688 + 0.183964i −1.66377 + 0.00763867i
\(581\) 24.1597 16.1430i 1.00231 0.669725i
\(582\) −31.3795 6.16693i −1.30072 0.255627i
\(583\) −1.13646 0.470735i −0.0470672 0.0194959i
\(584\) 28.6941 + 28.3016i 1.18737 + 1.17113i
\(585\) −1.83886 + 0.761680i −0.0760275 + 0.0314916i
\(586\) −5.96856 29.6501i −0.246559 1.22483i
\(587\) 33.9240 + 6.74790i 1.40019 + 0.278516i 0.836726 0.547623i \(-0.184467\pi\)
0.563468 + 0.826138i \(0.309467\pi\)
\(588\) −10.0144 + 2.03982i −0.412986 + 0.0841209i
\(589\) −4.03794 2.69807i −0.166381 0.111172i
\(590\) −8.30093 + 8.33913i −0.341744 + 0.343317i
\(591\) 5.18963 + 5.18963i 0.213473 + 0.213473i
\(592\) 8.09188 5.51497i 0.332574 0.226664i
\(593\) 23.3579 23.3579i 0.959194 0.959194i −0.0400057 0.999199i \(-0.512738\pi\)
0.999199 + 0.0400057i \(0.0127376\pi\)
\(594\) −0.0295658 12.8794i −0.00121310 0.528449i
\(595\) −5.90685 + 8.84022i −0.242157 + 0.362414i
\(596\) −11.6509 + 7.86248i −0.477239 + 0.322060i
\(597\) −6.22066 + 31.2734i −0.254595 + 1.27993i
\(598\) 9.09463 13.6789i 0.371907 0.559374i
\(599\) 16.4727 + 39.7685i 0.673055 + 1.62490i 0.776391 + 0.630252i \(0.217048\pi\)
−0.103336 + 0.994647i \(0.532952\pi\)
\(600\) −2.14514 10.4092i −0.0875748 0.424952i
\(601\) 14.2850 34.4871i 0.582698 1.40676i −0.307661 0.951496i \(-0.599546\pi\)
0.890358 0.455260i \(-0.150454\pi\)
\(602\) 29.6720 19.9249i 1.20934 0.812078i
\(603\) 0.723559 + 1.08288i 0.0294656 + 0.0440984i
\(604\) −6.56660 + 16.0613i −0.267191 + 0.653527i
\(605\) 20.4140 4.06059i 0.829946 0.165086i
\(606\) −2.06568 + 0.861192i −0.0839124 + 0.0349835i
\(607\) 4.05117i 0.164432i 0.996615 + 0.0822160i \(0.0261997\pi\)
−0.996615 + 0.0822160i \(0.973800\pi\)
\(608\) −13.5981 19.8539i −0.551477 0.805181i
\(609\) 41.6862i 1.68921i
\(610\) 2.68804 + 6.44759i 0.108835 + 0.261055i
\(611\) 57.7859 11.4943i 2.33777 0.465011i
\(612\) −0.277959 + 0.116632i −0.0112358 + 0.00471458i
\(613\) 7.80817 + 11.6857i 0.315369 + 0.471983i 0.954961 0.296732i \(-0.0958967\pi\)
−0.639592 + 0.768715i \(0.720897\pi\)
\(614\) −19.7721 29.4446i −0.797939 1.18829i
\(615\) −14.5327 + 35.0849i −0.586013 + 1.41476i
\(616\) 2.99899 15.6391i 0.120833 0.630116i
\(617\) 15.0351 + 36.2979i 0.605289 + 1.46130i 0.868070 + 0.496441i \(0.165360\pi\)
−0.262781 + 0.964855i \(0.584640\pi\)
\(618\) 6.93444 + 4.61046i 0.278944 + 0.185460i
\(619\) −3.87037 + 19.4577i −0.155563 + 0.782070i 0.821680 + 0.569949i \(0.193037\pi\)
−0.977243 + 0.212121i \(0.931963\pi\)
\(620\) −1.16174 + 5.98391i −0.0466566 + 0.240320i
\(621\) 5.24260 7.84611i 0.210378 0.314853i
\(622\) −19.1199 + 0.0438914i −0.766639 + 0.00175989i
\(623\) −27.0123 + 27.0123i −1.08223 + 1.08223i
\(624\) 41.0282 + 16.5547i 1.64244 + 0.662720i
\(625\) 21.9990 + 21.9990i 0.879961 + 0.879961i
\(626\) −10.1565 10.1100i −0.405936 0.404076i
\(627\) 11.1812 + 7.47103i 0.446533 + 0.298364i
\(628\) 9.04826 + 5.98595i 0.361065 + 0.238865i
\(629\) −3.04005 0.604703i −0.121215 0.0241111i
\(630\) −1.38589 + 0.278980i −0.0552152 + 0.0111148i
\(631\) −1.83341 + 0.759422i −0.0729868 + 0.0302321i −0.418878 0.908042i \(-0.637577\pi\)
0.345891 + 0.938275i \(0.387577\pi\)
\(632\) 0.153585 0.378132i 0.00610929 0.0150413i
\(633\) −25.8622 10.7125i −1.02793 0.425782i
\(634\) −2.70359 + 13.7568i −0.107373 + 0.546353i
\(635\) −46.1734 + 30.8521i −1.83233 + 1.22433i
\(636\) 1.70854 1.72430i 0.0677480 0.0683730i
\(637\) −3.53519 17.7726i −0.140069 0.704177i
\(638\) −17.5665 7.22908i −0.695464 0.286202i
\(639\) −0.254916 −0.0100843
\(640\) −16.3752 + 25.3808i −0.647287 + 1.00327i
\(641\) 9.28564 0.366761 0.183380 0.983042i \(-0.441296\pi\)
0.183380 + 0.983042i \(0.441296\pi\)
\(642\) 14.2103 + 5.84791i 0.560835 + 0.230798i
\(643\) 2.48018 + 12.4687i 0.0978086 + 0.491717i 0.998374 + 0.0569971i \(0.0181526\pi\)
−0.900566 + 0.434720i \(0.856847\pi\)
\(644\) 8.21193 8.28768i 0.323595 0.326580i
\(645\) 31.4999 21.0476i 1.24031 0.828747i
\(646\) −1.46885 + 7.47402i −0.0577910 + 0.294061i
\(647\) −3.35949 1.39155i −0.132075 0.0547073i 0.315667 0.948870i \(-0.397772\pi\)
−0.447742 + 0.894163i \(0.647772\pi\)
\(648\) 24.4834 + 9.94436i 0.961798 + 0.390651i
\(649\) −5.15352 + 2.13466i −0.202293 + 0.0837927i
\(650\) 18.4734 3.71870i 0.724588 0.145860i
\(651\) 6.21978 + 1.23719i 0.243772 + 0.0484893i
\(652\) 3.37941 + 2.23567i 0.132348 + 0.0875557i
\(653\) 3.60748 + 2.41044i 0.141172 + 0.0943279i 0.624151 0.781304i \(-0.285445\pi\)
−0.482979 + 0.875632i \(0.660445\pi\)
\(654\) −5.08827 5.06497i −0.198967 0.198056i
\(655\) −1.98074 1.98074i −0.0773941 0.0773941i
\(656\) 29.6500 12.6016i 1.15764 0.492011i
\(657\) 1.19942 1.19942i 0.0467939 0.0467939i
\(658\) 41.8474 0.0960643i 1.63138 0.00374498i
\(659\) −17.8435 + 26.7046i −0.695083 + 1.04026i 0.301153 + 0.953576i \(0.402629\pi\)
−0.996235 + 0.0866888i \(0.972371\pi\)
\(660\) 3.21689 16.5696i 0.125217 0.644972i
\(661\) −4.81079 + 24.1855i −0.187118 + 0.940706i 0.767085 + 0.641546i \(0.221707\pi\)
−0.954203 + 0.299160i \(0.903293\pi\)
\(662\) 21.3631 + 14.2035i 0.830300 + 0.552036i
\(663\) −5.35906 12.9379i −0.208129 0.502467i
\(664\) −25.6611 4.92085i −0.995845 0.190966i
\(665\) −13.6704 + 33.0033i −0.530115 + 1.27981i
\(666\) −0.229758 0.342155i −0.00890295 0.0132582i
\(667\) −7.73228 11.5722i −0.299395 0.448077i
\(668\) 5.92495 2.48612i 0.229243 0.0961910i
\(669\) −16.9377 + 3.36911i −0.654848 + 0.130257i
\(670\) −15.8952 38.1266i −0.614085 1.47296i
\(671\) 3.31165i 0.127845i
\(672\) 26.3266 + 17.1571i 1.01557 + 0.661849i
\(673\) 44.2289i 1.70490i −0.522811 0.852449i \(-0.675117\pi\)
0.522811 0.852449i \(-0.324883\pi\)
\(674\) −12.8088 + 5.34006i −0.493376 + 0.205691i
\(675\) 10.6173 2.11191i 0.408659 0.0812874i
\(676\) −19.8470 + 48.5442i −0.763347 + 1.86708i
\(677\) −18.1929 27.2277i −0.699212 1.04644i −0.995810 0.0914418i \(-0.970852\pi\)
0.296599 0.955002i \(-0.404148\pi\)
\(678\) −1.15841 + 0.777874i −0.0444883 + 0.0298741i
\(679\) 15.4121 37.2082i 0.591463 1.42792i
\(680\) 9.36390 1.92973i 0.359089 0.0740017i
\(681\) −5.72510 13.8216i −0.219386 0.529645i
\(682\) −1.59996 + 2.40646i −0.0612658 + 0.0921479i
\(683\) −2.97371 + 14.9498i −0.113786 + 0.572040i 0.881261 + 0.472630i \(0.156695\pi\)
−0.995047 + 0.0994097i \(0.968305\pi\)
\(684\) −0.839515 + 0.566538i −0.0320996 + 0.0216621i
\(685\) −17.8427 + 26.7035i −0.681734 + 1.02029i
\(686\) 0.0419335 + 18.2670i 0.00160103 + 0.697438i
\(687\) 15.9884 15.9884i 0.609997 0.609997i
\(688\) −31.5783 5.98042i −1.20391 0.228001i
\(689\) 3.04337 + 3.04337i 0.115943 + 0.115943i
\(690\) 8.72456 8.76470i 0.332138 0.333667i
\(691\) 36.9458 + 24.6864i 1.40549 + 0.939115i 0.999684 + 0.0251542i \(0.00800767\pi\)
0.405802 + 0.913961i \(0.366992\pi\)
\(692\) −28.3261 + 5.76973i −1.07680 + 0.219332i
\(693\) −0.657319 0.130749i −0.0249695 0.00496674i
\(694\) −7.01041 34.8257i −0.266112 1.32197i
\(695\) 16.5485 6.85462i 0.627721 0.260010i
\(696\) 26.3231 26.6882i 0.997776 1.01161i
\(697\) −9.42128 3.90242i −0.356857 0.147815i
\(698\) −3.15531 0.620103i −0.119430 0.0234712i
\(699\) 6.29265 4.20461i 0.238010 0.159033i
\(700\) 13.3841 0.0614492i 0.505873 0.00232256i
\(701\) 6.76034 + 33.9865i 0.255335 + 1.28365i 0.869286 + 0.494310i \(0.164579\pi\)
−0.613951 + 0.789344i \(0.710421\pi\)
\(702\) −17.1496 + 41.6731i −0.647270 + 1.57285i
\(703\) −10.4143 −0.392783
\(704\) −11.7954 + 8.11865i −0.444557 + 0.305983i
\(705\) 44.3572 1.67059
\(706\) 7.26287 17.6486i 0.273342 0.664214i
\(707\) −0.549851 2.76429i −0.0206793 0.103962i
\(708\) −0.0505378 11.0075i −0.00189933 0.413689i
\(709\) −16.8515 + 11.2598i −0.632870 + 0.422870i −0.830199 0.557467i \(-0.811773\pi\)
0.197329 + 0.980337i \(0.436773\pi\)
\(710\) 7.93343 + 1.55913i 0.297736 + 0.0585133i
\(711\) −0.0158696 0.00657341i −0.000595157 0.000246522i
\(712\) 34.3510 0.236570i 1.28736 0.00886584i
\(713\) −1.95611 + 0.810247i −0.0732568 + 0.0303440i
\(714\) −1.96286 9.75090i −0.0734580 0.364918i
\(715\) 29.3526 + 5.83860i 1.09773 + 0.218351i
\(716\) −1.86734 9.16760i −0.0697859 0.342609i
\(717\) 21.9931 + 14.6953i 0.821348 + 0.548807i
\(718\) 20.7056 20.8009i 0.772727 0.776283i
\(719\) −22.8834 22.8834i −0.853406 0.853406i 0.137145 0.990551i \(-0.456207\pi\)
−0.990551 + 0.137145i \(0.956207\pi\)
\(720\) 1.06344 + 0.696526i 0.0396319 + 0.0259580i
\(721\) −7.41538 + 7.41538i −0.276163 + 0.276163i
\(722\) −0.00293342 1.27785i −0.000109171 0.0475567i
\(723\) 3.02217 4.52300i 0.112396 0.168212i
\(724\) 7.60006 + 11.2620i 0.282454 + 0.418549i
\(725\) 3.11484 15.6594i 0.115682 0.581575i
\(726\) −10.7808 + 16.2150i −0.400112 + 0.601796i
\(727\) −13.3809 32.3043i −0.496269 1.19810i −0.951479 0.307715i \(-0.900436\pi\)
0.455210 0.890384i \(-0.349564\pi\)
\(728\) −30.6347 + 46.5388i −1.13540 + 1.72484i
\(729\) −9.89057 + 23.8779i −0.366317 + 0.884368i
\(730\) −44.6640 + 29.9921i −1.65309 + 1.11006i
\(731\) 5.65186 + 8.45860i 0.209042 + 0.312853i
\(732\) −6.04903 2.47312i −0.223579 0.0914090i
\(733\) −41.3984 + 8.23465i −1.52908 + 0.304154i −0.886742 0.462264i \(-0.847037\pi\)
−0.642342 + 0.766418i \(0.722037\pi\)
\(734\) 17.0884 7.12425i 0.630744 0.262961i
\(735\) 13.6425i 0.503210i
\(736\) −10.4908 + 0.120417i −0.386694 + 0.00443864i
\(737\) 19.5828i 0.721341i
\(738\) −0.521761 1.25151i −0.0192063 0.0460686i
\(739\) −9.79618 + 1.94858i −0.360358 + 0.0716797i −0.371949 0.928253i \(-0.621310\pi\)
0.0115908 + 0.999933i \(0.496310\pi\)
\(740\) 5.05777 + 12.0537i 0.185927 + 0.443103i
\(741\) −26.1404 39.1219i −0.960292 1.43718i
\(742\) 1.70419 + 2.53787i 0.0625628 + 0.0931682i
\(743\) 10.3765 25.0512i 0.380678 0.919039i −0.611157 0.791510i \(-0.709295\pi\)
0.991835 0.127529i \(-0.0407046\pi\)
\(744\) −3.20077 4.71961i −0.117346 0.173029i
\(745\) −7.18014 17.3344i −0.263060 0.635083i
\(746\) −15.3501 10.2057i −0.562008 0.373659i
\(747\) −0.214537 + 1.07855i −0.00784951 + 0.0394622i
\(748\) 4.44941 + 0.863825i 0.162686 + 0.0315846i
\(749\) −10.7513 + 16.0905i −0.392845 + 0.587934i
\(750\) −19.1531 + 0.0439677i −0.699374 + 0.00160547i
\(751\) 23.4465 23.4465i 0.855575 0.855575i −0.135238 0.990813i \(-0.543180\pi\)
0.990813 + 0.135238i \(0.0431800\pi\)
\(752\) −26.8521 26.3634i −0.979194 0.961375i
\(753\) −30.1488 30.1488i −1.09868 1.09868i
\(754\) 47.1053 + 46.8896i 1.71547 + 1.70762i
\(755\) −19.2590 12.8685i −0.700908 0.468332i
\(756\) −17.6600 + 26.6946i −0.642288 + 0.970872i
\(757\) −34.9718 6.95632i −1.27107 0.252832i −0.486945 0.873433i \(-0.661889\pi\)
−0.784127 + 0.620601i \(0.786889\pi\)
\(758\) −7.69638 + 1.54928i −0.279545 + 0.0562724i
\(759\) 5.41652 2.24360i 0.196607 0.0814374i
\(760\) 29.5922 12.4969i 1.07342 0.453312i
\(761\) 41.9043 + 17.3573i 1.51903 + 0.629202i 0.977397 0.211413i \(-0.0678065\pi\)
0.541632 + 0.840616i \(0.317807\pi\)
\(762\) 10.0183 50.9765i 0.362923 1.84668i
\(763\) 7.51770 5.02316i 0.272159 0.181851i
\(764\) −16.4730 16.3224i −0.595973 0.590525i
\(765\) −0.0785008 0.394650i −0.00283820 0.0142686i
\(766\) 10.2189 + 4.20534i 0.369223 + 0.151945i
\(767\) 19.5174 0.704731
\(768\) −6.02073 27.6084i −0.217254 0.996233i
\(769\) −0.661601 −0.0238579 −0.0119290 0.999929i \(-0.503797\pi\)
−0.0119290 + 0.999929i \(0.503797\pi\)
\(770\) 19.6572 + 8.08946i 0.708396 + 0.291524i
\(771\) 6.65684 + 33.4662i 0.239740 + 1.20526i
\(772\) −17.0498 16.8940i −0.613636 0.608027i
\(773\)