Properties

Label 416.2.bf.a.53.7
Level $416$
Weight $2$
Character 416.53
Analytic conductor $3.322$
Analytic rank $0$
Dimension $192$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [416,2,Mod(53,416)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(416, base_ring=CyclotomicField(8))
 
chi = DirichletCharacter(H, H._module([0, 5, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("416.53");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 416 = 2^{5} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 416.bf (of order \(8\), degree \(4\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.32177672409\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(48\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 53.7
Character \(\chi\) \(=\) 416.53
Dual form 416.2.bf.a.157.7

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.28283 - 0.595266i) q^{2} +(-1.29613 + 0.536874i) q^{3} +(1.29132 + 1.52725i) q^{4} +(-0.0161519 + 0.0389942i) q^{5} +(1.98230 + 0.0828216i) q^{6} +(-1.32535 - 1.32535i) q^{7} +(-0.747423 - 2.72789i) q^{8} +(-0.729605 + 0.729605i) q^{9} +O(q^{10})\) \(q+(-1.28283 - 0.595266i) q^{2} +(-1.29613 + 0.536874i) q^{3} +(1.29132 + 1.52725i) q^{4} +(-0.0161519 + 0.0389942i) q^{5} +(1.98230 + 0.0828216i) q^{6} +(-1.32535 - 1.32535i) q^{7} +(-0.747423 - 2.72789i) q^{8} +(-0.729605 + 0.729605i) q^{9} +(0.0439321 - 0.0404083i) q^{10} +(1.89557 + 0.785171i) q^{11} +(-2.49366 - 1.28624i) q^{12} +(-0.382683 - 0.923880i) q^{13} +(0.911266 + 2.48914i) q^{14} -0.0592130i q^{15} +(-0.664999 + 3.94433i) q^{16} +1.34055i q^{17} +(1.37027 - 0.501652i) q^{18} +(-2.70360 - 6.52708i) q^{19} +(-0.0804113 + 0.0256858i) q^{20} +(2.42937 + 1.00628i) q^{21} +(-1.96431 - 2.13561i) q^{22} +(5.88288 - 5.88288i) q^{23} +(2.43329 + 3.13442i) q^{24} +(3.53427 + 3.53427i) q^{25} +(-0.0590352 + 1.41298i) q^{26} +(2.16458 - 5.22575i) q^{27} +(0.312696 - 3.73559i) q^{28} +(4.57960 - 1.89693i) q^{29} +(-0.0352475 + 0.0759604i) q^{30} -10.5676 q^{31} +(3.20101 - 4.66407i) q^{32} -2.87844 q^{33} +(0.797984 - 1.71970i) q^{34} +(0.0730879 - 0.0302740i) q^{35} +(-2.05644 - 0.172139i) q^{36} +(3.95787 - 9.55514i) q^{37} +(-0.417075 + 9.98251i) q^{38} +(0.992014 + 0.992014i) q^{39} +(0.118444 + 0.0149155i) q^{40} +(0.832456 - 0.832456i) q^{41} +(-2.51747 - 2.73701i) q^{42} +(-5.45370 - 2.25900i) q^{43} +(1.24863 + 3.90892i) q^{44} +(-0.0166658 - 0.0402349i) q^{45} +(-11.0486 + 4.04487i) q^{46} -9.83174i q^{47} +(-1.25569 - 5.46938i) q^{48} -3.48690i q^{49} +(-2.43005 - 6.63771i) q^{50} +(-0.719706 - 1.73753i) q^{51} +(0.916831 - 1.77748i) q^{52} +(-1.23167 - 0.510176i) q^{53} +(-5.88750 + 5.41527i) q^{54} +(-0.0612342 + 0.0612342i) q^{55} +(-2.62481 + 4.60600i) q^{56} +(7.00844 + 7.00844i) q^{57} +(-7.00404 - 0.292633i) q^{58} +(1.13736 - 2.74583i) q^{59} +(0.0904333 - 0.0764628i) q^{60} +(-1.89068 + 0.783145i) q^{61} +(13.5564 + 6.29052i) q^{62} +1.93396 q^{63} +(-6.88272 + 4.07777i) q^{64} +0.0422070 q^{65} +(3.69256 + 1.71344i) q^{66} +(6.95916 - 2.88258i) q^{67} +(-2.04736 + 1.73108i) q^{68} +(-4.46660 + 10.7833i) q^{69} +(-0.111781 - 0.00467026i) q^{70} +(11.2976 + 11.2976i) q^{71} +(2.53560 + 1.44496i) q^{72} +(-8.14583 + 8.14583i) q^{73} +(-10.7651 + 9.90165i) q^{74} +(-6.47833 - 2.68341i) q^{75} +(6.47728 - 12.5576i) q^{76} +(-1.47167 - 3.55292i) q^{77} +(-0.682075 - 1.86310i) q^{78} +8.18759i q^{79} +(-0.143065 - 0.0896397i) q^{80} +4.83990i q^{81} +(-1.56343 + 0.572369i) q^{82} +(-2.92068 - 7.05114i) q^{83} +(1.60025 + 5.00968i) q^{84} +(-0.0522737 - 0.0216525i) q^{85} +(5.65148 + 6.14432i) q^{86} +(-4.91734 + 4.91734i) q^{87} +(0.725064 - 5.75775i) q^{88} +(8.00087 + 8.00087i) q^{89} +(-0.00257098 + 0.0615353i) q^{90} +(-0.717274 + 1.73165i) q^{91} +(16.5813 + 1.38798i) q^{92} +(13.6969 - 5.67346i) q^{93} +(-5.85250 + 12.6125i) q^{94} +0.298187 q^{95} +(-1.64490 + 7.76377i) q^{96} +7.38415 q^{97} +(-2.07563 + 4.47310i) q^{98} +(-1.95588 + 0.810153i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q+O(q^{10}) \) Copy content Toggle raw display \( 192 q - 16 q^{10} - 16 q^{12} - 40 q^{16} - 40 q^{18} - 8 q^{22} - 16 q^{23} + 24 q^{24} + 80 q^{30} - 48 q^{31} - 48 q^{35} + 80 q^{36} - 56 q^{38} - 64 q^{40} - 16 q^{43} - 80 q^{44} + 24 q^{50} + 32 q^{51} - 32 q^{53} - 24 q^{54} + 32 q^{55} + 16 q^{56} - 64 q^{58} - 56 q^{60} - 64 q^{61} + 24 q^{62} + 80 q^{63} + 72 q^{64} + 96 q^{66} + 80 q^{67} - 32 q^{68} - 64 q^{69} - 120 q^{72} - 32 q^{74} + 32 q^{75} + 64 q^{76} - 32 q^{77} - 56 q^{80} - 80 q^{82} - 80 q^{83} + 112 q^{84} - 112 q^{87} - 88 q^{88} - 120 q^{90} + 144 q^{92} + 40 q^{94} + 136 q^{96} + 56 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/416\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(287\) \(353\)
\(\chi(n)\) \(e\left(\frac{5}{8}\right)\) \(1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.28283 0.595266i −0.907099 0.420916i
\(3\) −1.29613 + 0.536874i −0.748320 + 0.309964i −0.724056 0.689741i \(-0.757724\pi\)
−0.0242641 + 0.999706i \(0.507724\pi\)
\(4\) 1.29132 + 1.52725i 0.645659 + 0.763626i
\(5\) −0.0161519 + 0.0389942i −0.00722336 + 0.0174387i −0.927450 0.373947i \(-0.878004\pi\)
0.920227 + 0.391386i \(0.128004\pi\)
\(6\) 1.98230 + 0.0828216i 0.809270 + 0.0338118i
\(7\) −1.32535 1.32535i −0.500935 0.500935i 0.410793 0.911728i \(-0.365252\pi\)
−0.911728 + 0.410793i \(0.865252\pi\)
\(8\) −0.747423 2.72789i −0.264254 0.964453i
\(9\) −0.729605 + 0.729605i −0.243202 + 0.243202i
\(10\) 0.0439321 0.0404083i 0.0138926 0.0127782i
\(11\) 1.89557 + 0.785171i 0.571536 + 0.236738i 0.649685 0.760204i \(-0.274901\pi\)
−0.0781487 + 0.996942i \(0.524901\pi\)
\(12\) −2.49366 1.28624i −0.719856 0.371306i
\(13\) −0.382683 0.923880i −0.106137 0.256238i
\(14\) 0.911266 + 2.48914i 0.243546 + 0.665250i
\(15\) 0.0592130i 0.0152887i
\(16\) −0.664999 + 3.94433i −0.166250 + 0.986084i
\(17\) 1.34055i 0.325131i 0.986698 + 0.162566i \(0.0519769\pi\)
−0.986698 + 0.162566i \(0.948023\pi\)
\(18\) 1.37027 0.501652i 0.322976 0.118241i
\(19\) −2.70360 6.52708i −0.620249 1.49741i −0.851411 0.524499i \(-0.824253\pi\)
0.231162 0.972915i \(-0.425747\pi\)
\(20\) −0.0804113 + 0.0256858i −0.0179805 + 0.00574353i
\(21\) 2.42937 + 1.00628i 0.530132 + 0.219588i
\(22\) −1.96431 2.13561i −0.418793 0.455314i
\(23\) 5.88288 5.88288i 1.22666 1.22666i 0.261446 0.965218i \(-0.415801\pi\)
0.965218 0.261446i \(-0.0841995\pi\)
\(24\) 2.43329 + 3.13442i 0.496693 + 0.639810i
\(25\) 3.53427 + 3.53427i 0.706855 + 0.706855i
\(26\) −0.0590352 + 1.41298i −0.0115777 + 0.277108i
\(27\) 2.16458 5.22575i 0.416573 1.00570i
\(28\) 0.312696 3.73559i 0.0590940 0.705960i
\(29\) 4.57960 1.89693i 0.850411 0.352252i 0.0854609 0.996342i \(-0.472764\pi\)
0.764950 + 0.644090i \(0.222764\pi\)
\(30\) −0.0352475 + 0.0759604i −0.00643528 + 0.0138684i
\(31\) −10.5676 −1.89799 −0.948996 0.315287i \(-0.897899\pi\)
−0.948996 + 0.315287i \(0.897899\pi\)
\(32\) 3.20101 4.66407i 0.565864 0.824499i
\(33\) −2.87844 −0.501072
\(34\) 0.797984 1.71970i 0.136853 0.294926i
\(35\) 0.0730879 0.0302740i 0.0123541 0.00511724i
\(36\) −2.05644 0.172139i −0.342741 0.0286899i
\(37\) 3.95787 9.55514i 0.650669 1.57085i −0.161140 0.986932i \(-0.551517\pi\)
0.811809 0.583923i \(-0.198483\pi\)
\(38\) −0.417075 + 9.98251i −0.0676585 + 1.61938i
\(39\) 0.992014 + 0.992014i 0.158849 + 0.158849i
\(40\) 0.118444 + 0.0149155i 0.0187276 + 0.00235834i
\(41\) 0.832456 0.832456i 0.130008 0.130008i −0.639109 0.769116i \(-0.720697\pi\)
0.769116 + 0.639109i \(0.220697\pi\)
\(42\) −2.51747 2.73701i −0.388454 0.422329i
\(43\) −5.45370 2.25900i −0.831682 0.344494i −0.0741135 0.997250i \(-0.523613\pi\)
−0.757568 + 0.652756i \(0.773613\pi\)
\(44\) 1.24863 + 3.90892i 0.188238 + 0.589292i
\(45\) −0.0166658 0.0402349i −0.00248440 0.00599787i
\(46\) −11.0486 + 4.04487i −1.62903 + 0.596383i
\(47\) 9.83174i 1.43411i −0.697018 0.717053i \(-0.745490\pi\)
0.697018 0.717053i \(-0.254510\pi\)
\(48\) −1.25569 5.46938i −0.181243 0.789438i
\(49\) 3.48690i 0.498128i
\(50\) −2.43005 6.63771i −0.343661 0.938714i
\(51\) −0.719706 1.73753i −0.100779 0.243302i
\(52\) 0.916831 1.77748i 0.127142 0.246492i
\(53\) −1.23167 0.510176i −0.169183 0.0700780i 0.296484 0.955038i \(-0.404186\pi\)
−0.465668 + 0.884960i \(0.654186\pi\)
\(54\) −5.88750 + 5.41527i −0.801188 + 0.736924i
\(55\) −0.0612342 + 0.0612342i −0.00825682 + 0.00825682i
\(56\) −2.62481 + 4.60600i −0.350754 + 0.615503i
\(57\) 7.00844 + 7.00844i 0.928290 + 0.928290i
\(58\) −7.00404 0.292633i −0.919676 0.0384246i
\(59\) 1.13736 2.74583i 0.148072 0.357477i −0.832389 0.554192i \(-0.813027\pi\)
0.980461 + 0.196715i \(0.0630273\pi\)
\(60\) 0.0904333 0.0764628i 0.0116749 0.00987131i
\(61\) −1.89068 + 0.783145i −0.242077 + 0.100272i −0.500423 0.865781i \(-0.666822\pi\)
0.258347 + 0.966052i \(0.416822\pi\)
\(62\) 13.5564 + 6.29052i 1.72167 + 0.798896i
\(63\) 1.93396 0.243657
\(64\) −6.88272 + 4.07777i −0.860340 + 0.509721i
\(65\) 0.0422070 0.00523514
\(66\) 3.69256 + 1.71344i 0.454522 + 0.210910i
\(67\) 6.95916 2.88258i 0.850196 0.352163i 0.0853308 0.996353i \(-0.472805\pi\)
0.764866 + 0.644190i \(0.222805\pi\)
\(68\) −2.04736 + 1.73108i −0.248279 + 0.209924i
\(69\) −4.46660 + 10.7833i −0.537715 + 1.29816i
\(70\) −0.111781 0.00467026i −0.0133603 0.000558203i
\(71\) 11.2976 + 11.2976i 1.34078 + 1.34078i 0.895283 + 0.445498i \(0.146973\pi\)
0.445498 + 0.895283i \(0.353027\pi\)
\(72\) 2.53560 + 1.44496i 0.298824 + 0.170290i
\(73\) −8.14583 + 8.14583i −0.953398 + 0.953398i −0.998961 0.0455638i \(-0.985492\pi\)
0.0455638 + 0.998961i \(0.485492\pi\)
\(74\) −10.7651 + 9.90165i −1.25142 + 1.15104i
\(75\) −6.47833 2.68341i −0.748053 0.309854i
\(76\) 6.47728 12.5576i 0.742995 1.44046i
\(77\) −1.47167 3.55292i −0.167712 0.404893i
\(78\) −0.682075 1.86310i −0.0772298 0.210954i
\(79\) 8.18759i 0.921176i 0.887614 + 0.460588i \(0.152361\pi\)
−0.887614 + 0.460588i \(0.847639\pi\)
\(80\) −0.143065 0.0896397i −0.0159952 0.0100220i
\(81\) 4.83990i 0.537767i
\(82\) −1.56343 + 0.572369i −0.172652 + 0.0632076i
\(83\) −2.92068 7.05114i −0.320586 0.773963i −0.999220 0.0394868i \(-0.987428\pi\)
0.678634 0.734477i \(-0.262572\pi\)
\(84\) 1.60025 + 5.00968i 0.174601 + 0.546601i
\(85\) −0.0522737 0.0216525i −0.00566988 0.00234854i
\(86\) 5.65148 + 6.14432i 0.609415 + 0.662559i
\(87\) −4.91734 + 4.91734i −0.527194 + 0.527194i
\(88\) 0.725064 5.75775i 0.0772921 0.613779i
\(89\) 8.00087 + 8.00087i 0.848090 + 0.848090i 0.989895 0.141804i \(-0.0452904\pi\)
−0.141804 + 0.989895i \(0.545290\pi\)
\(90\) −0.00257098 + 0.0615353i −0.000271005 + 0.00648639i
\(91\) −0.717274 + 1.73165i −0.0751908 + 0.181527i
\(92\) 16.5813 + 1.38798i 1.72872 + 0.144706i
\(93\) 13.6969 5.67346i 1.42031 0.588310i
\(94\) −5.85250 + 12.6125i −0.603639 + 1.30088i
\(95\) 0.298187 0.0305933
\(96\) −1.64490 + 7.76377i −0.167882 + 0.792387i
\(97\) 7.38415 0.749747 0.374873 0.927076i \(-0.377686\pi\)
0.374873 + 0.927076i \(0.377686\pi\)
\(98\) −2.07563 + 4.47310i −0.209670 + 0.451852i
\(99\) −1.95588 + 0.810153i −0.196574 + 0.0814235i
\(100\) −0.833858 + 9.96160i −0.0833858 + 0.996160i
\(101\) 0.580319 1.40101i 0.0577439 0.139406i −0.892374 0.451296i \(-0.850962\pi\)
0.950118 + 0.311890i \(0.100962\pi\)
\(102\) −0.111026 + 2.65737i −0.0109933 + 0.263119i
\(103\) 2.65966 + 2.65966i 0.262064 + 0.262064i 0.825892 0.563828i \(-0.190672\pi\)
−0.563828 + 0.825892i \(0.690672\pi\)
\(104\) −2.23421 + 1.73445i −0.219082 + 0.170076i
\(105\) −0.0784780 + 0.0784780i −0.00765867 + 0.00765867i
\(106\) 1.27634 + 1.38764i 0.123969 + 0.134780i
\(107\) −1.97123 0.816508i −0.190566 0.0789348i 0.285360 0.958420i \(-0.407887\pi\)
−0.475926 + 0.879486i \(0.657887\pi\)
\(108\) 10.7762 3.44225i 1.03694 0.331231i
\(109\) −5.04573 12.1815i −0.483293 1.16677i −0.958036 0.286648i \(-0.907459\pi\)
0.474743 0.880125i \(-0.342541\pi\)
\(110\) 0.115004 0.0421026i 0.0109652 0.00401433i
\(111\) 14.5096i 1.37719i
\(112\) 6.10898 4.34627i 0.577244 0.410684i
\(113\) 1.72305i 0.162091i 0.996710 + 0.0810453i \(0.0258259\pi\)
−0.996710 + 0.0810453i \(0.974174\pi\)
\(114\) −4.81877 13.1625i −0.451319 1.23278i
\(115\) 0.134378 + 0.324418i 0.0125308 + 0.0302521i
\(116\) 8.81082 + 4.54466i 0.818064 + 0.421962i
\(117\) 0.953275 + 0.394860i 0.0881303 + 0.0365048i
\(118\) −3.09355 + 2.84541i −0.284784 + 0.261941i
\(119\) 1.77670 1.77670i 0.162870 0.162870i
\(120\) −0.161526 + 0.0442572i −0.0147453 + 0.00404011i
\(121\) −4.80148 4.80148i −0.436498 0.436498i
\(122\) 2.89161 + 0.120813i 0.261794 + 0.0109379i
\(123\) −0.632046 + 1.52589i −0.0569897 + 0.137585i
\(124\) −13.6461 16.1394i −1.22546 1.44936i
\(125\) −0.389873 + 0.161491i −0.0348713 + 0.0144442i
\(126\) −2.48095 1.15122i −0.221021 0.102559i
\(127\) −9.54264 −0.846772 −0.423386 0.905949i \(-0.639159\pi\)
−0.423386 + 0.905949i \(0.639159\pi\)
\(128\) 11.2567 1.13405i 0.994964 0.100236i
\(129\) 8.28149 0.729145
\(130\) −0.0541445 0.0251244i −0.00474879 0.00220356i
\(131\) −20.0972 + 8.32454i −1.75590 + 0.727319i −0.758794 + 0.651331i \(0.774211\pi\)
−0.997109 + 0.0759882i \(0.975789\pi\)
\(132\) −3.71698 4.39610i −0.323522 0.382632i
\(133\) −5.06744 + 12.2339i −0.439403 + 1.06081i
\(134\) −10.6433 0.444685i −0.919444 0.0384149i
\(135\) 0.168812 + 0.168812i 0.0145290 + 0.0145290i
\(136\) 3.65687 1.00196i 0.313574 0.0859172i
\(137\) −11.9526 + 11.9526i −1.02118 + 1.02118i −0.0214118 + 0.999771i \(0.506816\pi\)
−0.999771 + 0.0214118i \(0.993184\pi\)
\(138\) 12.1488 11.1744i 1.03418 0.951227i
\(139\) −6.36772 2.63760i −0.540103 0.223718i 0.0959185 0.995389i \(-0.469421\pi\)
−0.636022 + 0.771671i \(0.719421\pi\)
\(140\) 0.140616 + 0.0725303i 0.0118842 + 0.00612993i
\(141\) 5.27841 + 12.7432i 0.444522 + 1.07317i
\(142\) −7.76787 21.2180i −0.651865 1.78058i
\(143\) 2.05175i 0.171576i
\(144\) −2.39262 3.36299i −0.199385 0.280249i
\(145\) 0.209217i 0.0173745i
\(146\) 15.2987 5.60080i 1.26613 0.463526i
\(147\) 1.87202 + 4.51946i 0.154402 + 0.372759i
\(148\) 19.7040 6.29405i 1.61966 0.517368i
\(149\) 1.05874 + 0.438544i 0.0867352 + 0.0359269i 0.425629 0.904898i \(-0.360053\pi\)
−0.338894 + 0.940825i \(0.610053\pi\)
\(150\) 6.71327 + 7.29870i 0.548136 + 0.595936i
\(151\) 13.7039 13.7039i 1.11521 1.11521i 0.122777 0.992434i \(-0.460820\pi\)
0.992434 0.122777i \(-0.0391800\pi\)
\(152\) −15.7844 + 12.2536i −1.28028 + 0.993899i
\(153\) −0.978073 0.978073i −0.0790725 0.0790725i
\(154\) −0.227029 + 5.43383i −0.0182945 + 0.437871i
\(155\) 0.170687 0.412074i 0.0137099 0.0330986i
\(156\) −0.234051 + 2.79606i −0.0187390 + 0.223864i
\(157\) 11.5135 4.76907i 0.918881 0.380613i 0.127431 0.991847i \(-0.459327\pi\)
0.791450 + 0.611234i \(0.209327\pi\)
\(158\) 4.87379 10.5033i 0.387738 0.835598i
\(159\) 1.87031 0.148325
\(160\) 0.130169 + 0.200155i 0.0102908 + 0.0158236i
\(161\) −15.5937 −1.22896
\(162\) 2.88103 6.20878i 0.226355 0.487808i
\(163\) −17.9956 + 7.45403i −1.40953 + 0.583845i −0.952206 0.305457i \(-0.901191\pi\)
−0.457320 + 0.889302i \(0.651191\pi\)
\(164\) 2.34634 + 0.196405i 0.183218 + 0.0153367i
\(165\) 0.0464924 0.112243i 0.00361943 0.00873807i
\(166\) −0.450562 + 10.7840i −0.0349704 + 0.837002i
\(167\) 2.12801 + 2.12801i 0.164670 + 0.164670i 0.784632 0.619962i \(-0.212852\pi\)
−0.619962 + 0.784632i \(0.712852\pi\)
\(168\) 0.929244 7.37916i 0.0716928 0.569314i
\(169\) −0.707107 + 0.707107i −0.0543928 + 0.0543928i
\(170\) 0.0541694 + 0.0588932i 0.00415460 + 0.00451690i
\(171\) 6.73475 + 2.78963i 0.515019 + 0.213328i
\(172\) −3.59240 11.2463i −0.273918 0.857519i
\(173\) −4.16552 10.0565i −0.316698 0.764578i −0.999425 0.0339039i \(-0.989206\pi\)
0.682727 0.730674i \(-0.260794\pi\)
\(174\) 9.23524 3.38100i 0.700122 0.256313i
\(175\) 9.36830i 0.708177i
\(176\) −4.35753 + 6.95463i −0.328461 + 0.524225i
\(177\) 4.16957i 0.313404i
\(178\) −5.50113 15.0264i −0.412327 1.12628i
\(179\) 2.98859 + 7.21510i 0.223378 + 0.539282i 0.995344 0.0963813i \(-0.0307268\pi\)
−0.771967 + 0.635663i \(0.780727\pi\)
\(180\) 0.0399280 0.0774090i 0.00297605 0.00576973i
\(181\) 16.3307 + 6.76440i 1.21385 + 0.502794i 0.895450 0.445162i \(-0.146854\pi\)
0.318402 + 0.947956i \(0.396854\pi\)
\(182\) 1.95094 1.79445i 0.144613 0.133014i
\(183\) 2.03011 2.03011i 0.150070 0.150070i
\(184\) −20.4448 11.6508i −1.50721 0.858910i
\(185\) 0.308668 + 0.308668i 0.0226937 + 0.0226937i
\(186\) −20.9481 0.875223i −1.53599 0.0641745i
\(187\) −1.05256 + 2.54111i −0.0769709 + 0.185824i
\(188\) 15.0155 12.6959i 1.09512 0.925943i
\(189\) −9.79477 + 4.05713i −0.712465 + 0.295113i
\(190\) −0.382523 0.177500i −0.0277512 0.0128772i
\(191\) −2.70165 −0.195484 −0.0977421 0.995212i \(-0.531162\pi\)
−0.0977421 + 0.995212i \(0.531162\pi\)
\(192\) 6.73164 8.98046i 0.485814 0.648109i
\(193\) −25.3193 −1.82252 −0.911262 0.411827i \(-0.864891\pi\)
−0.911262 + 0.411827i \(0.864891\pi\)
\(194\) −9.47263 4.39553i −0.680095 0.315581i
\(195\) −0.0547057 + 0.0226599i −0.00391756 + 0.00162271i
\(196\) 5.32537 4.50269i 0.380383 0.321621i
\(197\) 7.75694 18.7269i 0.552659 1.33424i −0.362816 0.931861i \(-0.618185\pi\)
0.915475 0.402376i \(-0.131815\pi\)
\(198\) 2.99133 + 0.124979i 0.212584 + 0.00888190i
\(199\) 5.61537 + 5.61537i 0.398063 + 0.398063i 0.877549 0.479486i \(-0.159177\pi\)
−0.479486 + 0.877549i \(0.659177\pi\)
\(200\) 6.99950 12.2827i 0.494939 0.868518i
\(201\) −7.47238 + 7.47238i −0.527061 + 0.527061i
\(202\) −1.57843 + 1.45182i −0.111058 + 0.102150i
\(203\) −8.58368 3.55547i −0.602456 0.249545i
\(204\) 1.72427 3.34287i 0.120723 0.234048i
\(205\) 0.0190152 + 0.0459067i 0.00132808 + 0.00320627i
\(206\) −1.82869 4.99510i −0.127411 0.348025i
\(207\) 8.58435i 0.596654i
\(208\) 3.89857 0.895053i 0.270317 0.0620608i
\(209\) 14.4953i 1.00266i
\(210\) 0.147389 0.0539589i 0.0101708 0.00372351i
\(211\) 0.583737 + 1.40926i 0.0401861 + 0.0970178i 0.942698 0.333647i \(-0.108279\pi\)
−0.902512 + 0.430664i \(0.858279\pi\)
\(212\) −0.811314 2.53987i −0.0557213 0.174439i
\(213\) −20.7086 8.57777i −1.41893 0.587739i
\(214\) 2.04271 + 2.22085i 0.139637 + 0.151814i
\(215\) 0.176176 0.176176i 0.0120151 0.0120151i
\(216\) −15.8731 1.99887i −1.08003 0.136006i
\(217\) 14.0057 + 14.0057i 0.950771 + 0.950771i
\(218\) −0.778386 + 18.6303i −0.0527189 + 1.26180i
\(219\) 6.18476 14.9313i 0.417927 1.00897i
\(220\) −0.172593 0.0144473i −0.0116362 0.000974036i
\(221\) 1.23851 0.513006i 0.0833110 0.0345085i
\(222\) 8.63704 18.6133i 0.579680 1.24924i
\(223\) 8.84032 0.591992 0.295996 0.955189i \(-0.404349\pi\)
0.295996 + 0.955189i \(0.404349\pi\)
\(224\) −10.4240 + 1.93907i −0.696481 + 0.129559i
\(225\) −5.15725 −0.343817
\(226\) 1.02567 2.21038i 0.0682266 0.147032i
\(227\) 18.3475 7.59977i 1.21776 0.504414i 0.321066 0.947057i \(-0.395959\pi\)
0.896698 + 0.442643i \(0.145959\pi\)
\(228\) −1.65353 + 19.7538i −0.109508 + 1.30822i
\(229\) −4.77667 + 11.5319i −0.315651 + 0.762049i 0.683824 + 0.729647i \(0.260316\pi\)
−0.999475 + 0.0324021i \(0.989684\pi\)
\(230\) 0.0207300 0.496165i 0.00136690 0.0327161i
\(231\) 3.81494 + 3.81494i 0.251005 + 0.251005i
\(232\) −8.59752 11.0748i −0.564455 0.727097i
\(233\) 6.10499 6.10499i 0.399951 0.399951i −0.478265 0.878216i \(-0.658734\pi\)
0.878216 + 0.478265i \(0.158734\pi\)
\(234\) −0.987846 1.07399i −0.0645775 0.0702090i
\(235\) 0.383381 + 0.158802i 0.0250090 + 0.0103591i
\(236\) 5.66228 1.80871i 0.368583 0.117737i
\(237\) −4.39570 10.6122i −0.285532 0.689334i
\(238\) −3.33681 + 1.22160i −0.216293 + 0.0791845i
\(239\) 1.77849i 0.115041i 0.998344 + 0.0575205i \(0.0183194\pi\)
−0.998344 + 0.0575205i \(0.981681\pi\)
\(240\) 0.233556 + 0.0393766i 0.0150760 + 0.00254175i
\(241\) 14.6732i 0.945182i −0.881282 0.472591i \(-0.843319\pi\)
0.881282 0.472591i \(-0.156681\pi\)
\(242\) 3.30134 + 9.01765i 0.212218 + 0.579677i
\(243\) 3.89532 + 9.40413i 0.249885 + 0.603275i
\(244\) −3.63753 1.87626i −0.232869 0.120115i
\(245\) 0.135969 + 0.0563201i 0.00868672 + 0.00359816i
\(246\) 1.71912 1.58123i 0.109607 0.100816i
\(247\) −4.99561 + 4.99561i −0.317863 + 0.317863i
\(248\) 7.89845 + 28.8271i 0.501552 + 1.83052i
\(249\) 7.57115 + 7.57115i 0.479802 + 0.479802i
\(250\) 0.596271 + 0.0249125i 0.0377115 + 0.00157561i
\(251\) 7.62041 18.3973i 0.480996 1.16123i −0.478141 0.878283i \(-0.658689\pi\)
0.959137 0.282943i \(-0.0913109\pi\)
\(252\) 2.49736 + 2.95365i 0.157319 + 0.186063i
\(253\) 15.7705 6.53234i 0.991481 0.410685i
\(254\) 12.2416 + 5.68040i 0.768107 + 0.356420i
\(255\) 0.0793781 0.00497085
\(256\) −15.1156 5.24595i −0.944722 0.327872i
\(257\) −17.4429 −1.08806 −0.544030 0.839066i \(-0.683102\pi\)
−0.544030 + 0.839066i \(0.683102\pi\)
\(258\) −10.6238 4.92969i −0.661407 0.306909i
\(259\) −17.9095 + 7.41834i −1.11284 + 0.460953i
\(260\) 0.0545027 + 0.0644608i 0.00338011 + 0.00399769i
\(261\) −1.95729 + 4.72531i −0.121153 + 0.292490i
\(262\) 30.7367 + 1.28420i 1.89892 + 0.0793379i
\(263\) 4.25638 + 4.25638i 0.262460 + 0.262460i 0.826053 0.563593i \(-0.190581\pi\)
−0.563593 + 0.826053i \(0.690581\pi\)
\(264\) 2.15141 + 7.85206i 0.132410 + 0.483261i
\(265\) 0.0397878 0.0397878i 0.00244414 0.00244414i
\(266\) 13.7831 12.6775i 0.845095 0.777310i
\(267\) −14.6656 6.07469i −0.897521 0.371765i
\(268\) 13.3889 + 6.90607i 0.817858 + 0.421855i
\(269\) −4.37648 10.5658i −0.266839 0.644206i 0.732492 0.680775i \(-0.238357\pi\)
−0.999331 + 0.0365693i \(0.988357\pi\)
\(270\) −0.116069 0.317045i −0.00706376 0.0192948i
\(271\) 14.4536i 0.877994i −0.898489 0.438997i \(-0.855334\pi\)
0.898489 0.438997i \(-0.144666\pi\)
\(272\) −5.28758 0.891464i −0.320607 0.0540529i
\(273\) 2.62953i 0.159146i
\(274\) 22.4482 8.21823i 1.35615 0.496482i
\(275\) 3.92446 + 9.47448i 0.236654 + 0.571332i
\(276\) −22.2367 + 7.10307i −1.33849 + 0.427555i
\(277\) 13.9658 + 5.78484i 0.839125 + 0.347577i 0.760509 0.649328i \(-0.224950\pi\)
0.0786167 + 0.996905i \(0.474950\pi\)
\(278\) 6.59865 + 7.17408i 0.395761 + 0.430273i
\(279\) 7.71016 7.71016i 0.461595 0.461595i
\(280\) −0.137212 0.176748i −0.00819996 0.0105627i
\(281\) 1.25022 + 1.25022i 0.0745818 + 0.0745818i 0.743414 0.668832i \(-0.233205\pi\)
−0.668832 + 0.743414i \(0.733205\pi\)
\(282\) 0.814280 19.4894i 0.0484897 1.16058i
\(283\) −2.05770 + 4.96773i −0.122318 + 0.295301i −0.973164 0.230114i \(-0.926090\pi\)
0.850846 + 0.525415i \(0.176090\pi\)
\(284\) −2.66550 + 31.8431i −0.158168 + 1.88954i
\(285\) −0.386488 + 0.160089i −0.0228936 + 0.00948283i
\(286\) −1.22134 + 2.63205i −0.0722192 + 0.155637i
\(287\) −2.20659 −0.130251
\(288\) 1.06746 + 5.73840i 0.0629005 + 0.338139i
\(289\) 15.2029 0.894290
\(290\) 0.124540 0.268390i 0.00731323 0.0157604i
\(291\) −9.57081 + 3.96436i −0.561051 + 0.232395i
\(292\) −22.9596 1.92189i −1.34361 0.112470i
\(293\) −7.98903 + 19.2872i −0.466724 + 1.12677i 0.498860 + 0.866682i \(0.333752\pi\)
−0.965584 + 0.260090i \(0.916248\pi\)
\(294\) 0.288790 6.91207i 0.0168426 0.403120i
\(295\) 0.0887010 + 0.0887010i 0.00516437 + 0.00516437i
\(296\) −29.0235 3.65488i −1.68696 0.212436i
\(297\) 8.20622 8.20622i 0.476173 0.476173i
\(298\) −1.09713 1.19281i −0.0635552 0.0690975i
\(299\) −7.68635 3.18379i −0.444513 0.184123i
\(300\) −4.26734 13.3592i −0.246375 0.771293i
\(301\) 4.23410 + 10.2220i 0.244050 + 0.589188i
\(302\) −25.7374 + 9.42237i −1.48102 + 0.542197i
\(303\) 2.12745i 0.122219i
\(304\) 27.5429 6.32342i 1.57969 0.362673i
\(305\) 0.0863749i 0.00494581i
\(306\) 0.672490 + 1.83692i 0.0384437 + 0.105010i
\(307\) 4.55614 + 10.9995i 0.260032 + 0.627774i 0.998940 0.0460331i \(-0.0146580\pi\)
−0.738908 + 0.673807i \(0.764658\pi\)
\(308\) 3.52582 6.83556i 0.200902 0.389492i
\(309\) −4.87516 2.01936i −0.277338 0.114877i
\(310\) −0.464256 + 0.427018i −0.0263680 + 0.0242530i
\(311\) 17.7608 17.7608i 1.00712 1.00712i 0.00714590 0.999974i \(-0.497725\pi\)
0.999974 0.00714590i \(-0.00227463\pi\)
\(312\) 1.96465 3.44755i 0.111226 0.195179i
\(313\) −17.2201 17.2201i −0.973338 0.973338i 0.0263154 0.999654i \(-0.491623\pi\)
−0.999654 + 0.0263154i \(0.991623\pi\)
\(314\) −17.6088 0.735706i −0.993723 0.0415183i
\(315\) −0.0312373 + 0.0754134i −0.00176002 + 0.00424906i
\(316\) −12.5045 + 10.5728i −0.703434 + 0.594765i
\(317\) 20.3875 8.44477i 1.14508 0.474306i 0.272196 0.962242i \(-0.412250\pi\)
0.872879 + 0.487936i \(0.162250\pi\)
\(318\) −2.39929 1.11333i −0.134545 0.0624324i
\(319\) 10.1704 0.569432
\(320\) −0.0478401 0.334250i −0.00267434 0.0186851i
\(321\) 2.99332 0.167071
\(322\) 20.0041 + 9.28242i 1.11479 + 0.517289i
\(323\) 8.74987 3.62432i 0.486856 0.201662i
\(324\) −7.39175 + 6.24985i −0.410653 + 0.347214i
\(325\) 1.91274 4.61775i 0.106099 0.256147i
\(326\) 27.5225 + 1.14991i 1.52433 + 0.0636874i
\(327\) 13.0798 + 13.0798i 0.723316 + 0.723316i
\(328\) −2.89304 1.64865i −0.159741 0.0910314i
\(329\) −13.0305 + 13.0305i −0.718394 + 0.718394i
\(330\) −0.126456 + 0.116313i −0.00696118 + 0.00640282i
\(331\) 12.3611 + 5.12015i 0.679430 + 0.281429i 0.695589 0.718440i \(-0.255144\pi\)
−0.0161586 + 0.999869i \(0.505144\pi\)
\(332\) 6.99735 13.5659i 0.384029 0.744524i
\(333\) 4.08380 + 9.85916i 0.223791 + 0.540279i
\(334\) −1.46315 3.99661i −0.0800600 0.218685i
\(335\) 0.317926i 0.0173702i
\(336\) −5.58462 + 8.91307i −0.304666 + 0.486248i
\(337\) 20.7391i 1.12973i −0.825184 0.564865i \(-0.808928\pi\)
0.825184 0.564865i \(-0.191072\pi\)
\(338\) 1.32802 0.486183i 0.0722345 0.0264449i
\(339\) −0.925059 2.23329i −0.0502423 0.121296i
\(340\) −0.0344331 0.107795i −0.00186740 0.00584602i
\(341\) −20.0316 8.29735i −1.08477 0.449327i
\(342\) −6.97899 7.58759i −0.377381 0.410290i
\(343\) −13.8988 + 13.8988i −0.750465 + 0.750465i
\(344\) −2.08606 + 16.5655i −0.112473 + 0.893152i
\(345\) −0.348343 0.348343i −0.0187542 0.0187542i
\(346\) −0.642599 + 15.3803i −0.0345463 + 0.826852i
\(347\) −4.33031 + 10.4543i −0.232463 + 0.561216i −0.996466 0.0839972i \(-0.973231\pi\)
0.764003 + 0.645213i \(0.223231\pi\)
\(348\) −13.8599 1.16017i −0.742966 0.0621917i
\(349\) −0.672908 + 0.278728i −0.0360199 + 0.0149200i −0.400621 0.916244i \(-0.631205\pi\)
0.364601 + 0.931164i \(0.381205\pi\)
\(350\) −5.57663 + 12.0180i −0.298083 + 0.642387i
\(351\) −5.65631 −0.301912
\(352\) 9.72983 6.32773i 0.518602 0.337269i
\(353\) −0.797848 −0.0424652 −0.0212326 0.999775i \(-0.506759\pi\)
−0.0212326 + 0.999775i \(0.506759\pi\)
\(354\) 2.48200 5.34886i 0.131917 0.284289i
\(355\) −0.623020 + 0.258063i −0.0330665 + 0.0136966i
\(356\) −1.88768 + 22.5510i −0.100047 + 1.19520i
\(357\) −1.34897 + 3.25669i −0.0713948 + 0.172362i
\(358\) 0.461039 11.0348i 0.0243667 0.583205i
\(359\) 2.98085 + 2.98085i 0.157323 + 0.157323i 0.781379 0.624056i \(-0.214516\pi\)
−0.624056 + 0.781379i \(0.714516\pi\)
\(360\) −0.0972998 + 0.0755350i −0.00512815 + 0.00398104i
\(361\) −21.8582 + 21.8582i −1.15043 + 1.15043i
\(362\) −16.9229 18.3987i −0.889450 0.967014i
\(363\) 8.80112 + 3.64555i 0.461939 + 0.191342i
\(364\) −3.57090 + 1.14066i −0.187166 + 0.0597866i
\(365\) −0.186069 0.449211i −0.00973932 0.0235128i
\(366\) −3.81275 + 1.39584i −0.199296 + 0.0729617i
\(367\) 10.9768i 0.572982i 0.958083 + 0.286491i \(0.0924888\pi\)
−0.958083 + 0.286491i \(0.907511\pi\)
\(368\) 19.2919 + 27.1161i 1.00566 + 1.41353i
\(369\) 1.21473i 0.0632362i
\(370\) −0.212230 0.579708i −0.0110333 0.0301376i
\(371\) 0.956236 + 2.30856i 0.0496453 + 0.119854i
\(372\) 26.3519 + 13.5924i 1.36628 + 0.704735i
\(373\) 2.18035 + 0.903129i 0.112894 + 0.0467623i 0.438416 0.898772i \(-0.355540\pi\)
−0.325521 + 0.945535i \(0.605540\pi\)
\(374\) 2.86289 2.63326i 0.148037 0.136163i
\(375\) 0.418625 0.418625i 0.0216177 0.0216177i
\(376\) −26.8199 + 7.34847i −1.38313 + 0.378968i
\(377\) −3.50508 3.50508i −0.180521 0.180521i
\(378\) 14.9801 + 0.625878i 0.770494 + 0.0321917i
\(379\) 2.55877 6.17741i 0.131435 0.317312i −0.844437 0.535655i \(-0.820065\pi\)
0.975872 + 0.218342i \(0.0700649\pi\)
\(380\) 0.385054 + 0.455406i 0.0197528 + 0.0233618i
\(381\) 12.3685 5.12319i 0.633657 0.262469i
\(382\) 3.46576 + 1.60820i 0.177324 + 0.0822825i
\(383\) −20.4733 −1.04613 −0.523067 0.852291i \(-0.675212\pi\)
−0.523067 + 0.852291i \(0.675212\pi\)
\(384\) −13.9813 + 7.51331i −0.713482 + 0.383412i
\(385\) 0.162314 0.00827227
\(386\) 32.4804 + 15.0717i 1.65321 + 0.767130i
\(387\) 5.62723 2.33087i 0.286048 0.118485i
\(388\) 9.53528 + 11.2775i 0.484081 + 0.572526i
\(389\) 6.02332 14.5416i 0.305394 0.737287i −0.694448 0.719543i \(-0.744351\pi\)
0.999843 0.0177445i \(-0.00564854\pi\)
\(390\) 0.0836669 + 0.00349565i 0.00423664 + 0.000177009i
\(391\) 7.88629 + 7.88629i 0.398827 + 0.398827i
\(392\) −9.51185 + 2.60619i −0.480421 + 0.131632i
\(393\) 21.5794 21.5794i 1.08853 1.08853i
\(394\) −21.0983 + 19.4060i −1.06292 + 0.977662i
\(395\) −0.319269 0.132245i −0.0160641 0.00665399i
\(396\) −3.76297 1.94096i −0.189097 0.0975370i
\(397\) −1.40608 3.39458i −0.0705692 0.170369i 0.884659 0.466238i \(-0.154391\pi\)
−0.955229 + 0.295869i \(0.904391\pi\)
\(398\) −3.86094 10.5462i −0.193531 0.528634i
\(399\) 18.5773i 0.930026i
\(400\) −16.2906 + 11.5901i −0.814532 + 0.579504i
\(401\) 14.2356i 0.710893i 0.934697 + 0.355446i \(0.115671\pi\)
−0.934697 + 0.355446i \(0.884329\pi\)
\(402\) 14.0339 5.13776i 0.699946 0.256248i
\(403\) 4.04404 + 9.76317i 0.201448 + 0.486338i
\(404\) 2.88908 0.922860i 0.143737 0.0459140i
\(405\) −0.188728 0.0781737i −0.00937797 0.00388448i
\(406\) 8.89496 + 9.67065i 0.441450 + 0.479946i
\(407\) 15.0048 15.0048i 0.743762 0.743762i
\(408\) −4.20184 + 3.26194i −0.208022 + 0.161490i
\(409\) 14.6882 + 14.6882i 0.726285 + 0.726285i 0.969878 0.243592i \(-0.0783259\pi\)
−0.243592 + 0.969878i \(0.578326\pi\)
\(410\) 0.00293340 0.0702097i 0.000144870 0.00346741i
\(411\) 9.07509 21.9092i 0.447641 1.08070i
\(412\) −0.627506 + 7.49644i −0.0309150 + 0.369323i
\(413\) −5.14659 + 2.13179i −0.253247 + 0.104898i
\(414\) 5.10997 11.0123i 0.251141 0.541224i
\(415\) 0.322128 0.0158127
\(416\) −5.53401 1.17248i −0.271327 0.0574858i
\(417\) 9.66944 0.473515
\(418\) −8.62857 + 18.5951i −0.422037 + 0.909515i
\(419\) −16.7156 + 6.92384i −0.816612 + 0.338252i −0.751589 0.659632i \(-0.770712\pi\)
−0.0650233 + 0.997884i \(0.520712\pi\)
\(420\) −0.221196 0.0185157i −0.0107932 0.000903473i
\(421\) 1.81037 4.37063i 0.0882322 0.213011i −0.873604 0.486638i \(-0.838223\pi\)
0.961836 + 0.273626i \(0.0882232\pi\)
\(422\) 0.0900509 2.15533i 0.00438361 0.104920i
\(423\) 7.17329 + 7.17329i 0.348777 + 0.348777i
\(424\) −0.471120 + 3.74118i −0.0228796 + 0.181688i
\(425\) −4.73787 + 4.73787i −0.229821 + 0.229821i
\(426\) 21.4596 + 23.3309i 1.03972 + 1.13039i
\(427\) 3.54375 + 1.46787i 0.171494 + 0.0710353i
\(428\) −1.29846 4.06493i −0.0627636 0.196486i
\(429\) 1.10153 + 2.65933i 0.0531824 + 0.128394i
\(430\) −0.330875 + 0.121132i −0.0159562 + 0.00584153i
\(431\) 21.2512i 1.02363i 0.859095 + 0.511816i \(0.171027\pi\)
−0.859095 + 0.511816i \(0.828973\pi\)
\(432\) 19.1727 + 12.0129i 0.922446 + 0.577973i
\(433\) 11.0925i 0.533072i 0.963825 + 0.266536i \(0.0858791\pi\)
−0.963825 + 0.266536i \(0.914121\pi\)
\(434\) −9.62987 26.3041i −0.462249 1.26264i
\(435\) −0.112323 0.271172i −0.00538549 0.0130017i
\(436\) 12.0885 23.4362i 0.578936 1.12239i
\(437\) −54.3029 22.4930i −2.59766 1.07599i
\(438\) −16.8221 + 15.4728i −0.803792 + 0.739320i
\(439\) −18.6925 + 18.6925i −0.892145 + 0.892145i −0.994725 0.102580i \(-0.967290\pi\)
0.102580 + 0.994725i \(0.467290\pi\)
\(440\) 0.212808 + 0.121272i 0.0101452 + 0.00578142i
\(441\) 2.54406 + 2.54406i 0.121146 + 0.121146i
\(442\) −1.89417 0.0791396i −0.0900966 0.00376429i
\(443\) −3.76977 + 9.10102i −0.179107 + 0.432403i −0.987780 0.155856i \(-0.950186\pi\)
0.808673 + 0.588259i \(0.200186\pi\)
\(444\) −22.1598 + 18.7364i −1.05166 + 0.889192i
\(445\) −0.441217 + 0.182758i −0.0209157 + 0.00866356i
\(446\) −11.3406 5.26234i −0.536995 0.249179i
\(447\) −1.60770 −0.0760418
\(448\) 14.5265 + 3.71754i 0.686312 + 0.175637i
\(449\) −19.4836 −0.919490 −0.459745 0.888051i \(-0.652059\pi\)
−0.459745 + 0.888051i \(0.652059\pi\)
\(450\) 6.61589 + 3.06993i 0.311876 + 0.144718i
\(451\) 2.23160 0.924359i 0.105082 0.0435264i
\(452\) −2.63153 + 2.22500i −0.123777 + 0.104655i
\(453\) −10.4048 + 25.1194i −0.488859 + 1.18021i
\(454\) −28.0606 1.17239i −1.31695 0.0550229i
\(455\) −0.0559391 0.0559391i −0.00262246 0.00262246i
\(456\) 13.8799 24.3565i 0.649988 1.14060i
\(457\) 22.9769 22.9769i 1.07481 1.07481i 0.0778468 0.996965i \(-0.475195\pi\)
0.996965 0.0778468i \(-0.0248045\pi\)
\(458\) 12.9922 11.9501i 0.607086 0.558392i
\(459\) 7.00538 + 2.90173i 0.326983 + 0.135441i
\(460\) −0.321943 + 0.624156i −0.0150107 + 0.0291014i
\(461\) −7.62051 18.3975i −0.354922 0.856858i −0.995998 0.0893803i \(-0.971511\pi\)
0.641075 0.767478i \(-0.278489\pi\)
\(462\) −2.62303 7.16483i −0.122034 0.333338i
\(463\) 11.2437i 0.522539i −0.965266 0.261270i \(-0.915859\pi\)
0.965266 0.261270i \(-0.0841411\pi\)
\(464\) 4.43671 + 19.3249i 0.205969 + 0.897138i
\(465\) 0.625738i 0.0290179i
\(466\) −11.4658 + 4.19759i −0.531142 + 0.194450i
\(467\) 12.2312 + 29.5287i 0.565991 + 1.36642i 0.904908 + 0.425607i \(0.139939\pi\)
−0.338917 + 0.940816i \(0.610061\pi\)
\(468\) 0.627931 + 1.96578i 0.0290261 + 0.0908682i
\(469\) −13.0437 5.40290i −0.602304 0.249483i
\(470\) −0.397284 0.431929i −0.0183254 0.0199234i
\(471\) −12.3626 + 12.3626i −0.569641 + 0.569641i
\(472\) −8.34041 1.05029i −0.383899 0.0483437i
\(473\) −8.56418 8.56418i −0.393781 0.393781i
\(474\) −0.678109 + 16.2302i −0.0311466 + 0.745480i
\(475\) 13.5132 32.6238i 0.620028 1.49688i
\(476\) 5.00775 + 0.419185i 0.229530 + 0.0192133i
\(477\) 1.27086 0.526408i 0.0581888 0.0241026i
\(478\) 1.05867 2.28150i 0.0484226 0.104354i
\(479\) −16.6958 −0.762851 −0.381425 0.924400i \(-0.624567\pi\)
−0.381425 + 0.924400i \(0.624567\pi\)
\(480\) −0.276174 0.189542i −0.0126055 0.00865135i
\(481\) −10.3424 −0.471573
\(482\) −8.73444 + 18.8232i −0.397843 + 0.857374i
\(483\) 20.2115 8.37187i 0.919654 0.380933i
\(484\) 1.13284 13.5333i 0.0514926 0.615150i
\(485\) −0.119268 + 0.287939i −0.00541569 + 0.0130746i
\(486\) 0.600916 14.3827i 0.0272581 0.652411i
\(487\) −13.1576 13.1576i −0.596227 0.596227i 0.343079 0.939306i \(-0.388530\pi\)
−0.939306 + 0.343079i \(0.888530\pi\)
\(488\) 3.54947 + 4.57222i 0.160677 + 0.206975i
\(489\) 19.3228 19.3228i 0.873805 0.873805i
\(490\) −0.140900 0.153187i −0.00636520 0.00692027i
\(491\) 21.8280 + 9.04146i 0.985084 + 0.408035i 0.816307 0.577619i \(-0.196018\pi\)
0.168778 + 0.985654i \(0.446018\pi\)
\(492\) −3.14660 + 1.00512i −0.141860 + 0.0453143i
\(493\) 2.54293 + 6.13919i 0.114528 + 0.276495i
\(494\) 9.38224 3.43481i 0.422127 0.154540i
\(495\) 0.0893537i 0.00401615i
\(496\) 7.02742 41.6821i 0.315541 1.87158i
\(497\) 29.9466i 1.34329i
\(498\) −5.20567 14.2194i −0.233272 0.637185i
\(499\) 2.50674 + 6.05180i 0.112217 + 0.270916i 0.970004 0.243090i \(-0.0781610\pi\)
−0.857787 + 0.514006i \(0.828161\pi\)
\(500\) −0.750086 0.386898i −0.0335449 0.0173026i
\(501\) −3.90065 1.61570i −0.174268 0.0721842i
\(502\) −20.7270 + 19.0645i −0.925090 + 0.850889i
\(503\) 1.96926 1.96926i 0.0878048 0.0878048i −0.661840 0.749645i \(-0.730224\pi\)
0.749645 + 0.661840i \(0.230224\pi\)
\(504\) −1.44549 5.27563i −0.0643872 0.234995i
\(505\) 0.0452581 + 0.0452581i 0.00201396 + 0.00201396i
\(506\) −24.1193 1.00772i −1.07224 0.0447986i
\(507\) 0.536874 1.29613i 0.0238434 0.0575631i
\(508\) −12.3226 14.5740i −0.546726 0.646617i
\(509\) 28.0705 11.6272i 1.24421 0.515367i 0.339179 0.940722i \(-0.389851\pi\)
0.905026 + 0.425355i \(0.139851\pi\)
\(510\) −0.101829 0.0472510i −0.00450905 0.00209231i
\(511\) 21.5922 0.955181
\(512\) 16.2680 + 15.7275i 0.718950 + 0.695062i
\(513\) −39.9611 −1.76432
\(514\) 22.3764 + 10.3832i 0.986979 + 0.457983i
\(515\) −0.146670 + 0.0607527i −0.00646305 + 0.00267708i
\(516\) 10.6940 + 12.6479i 0.470779 + 0.556794i
\(517\) 7.71960 18.6368i 0.339508 0.819644i
\(518\) 27.3907 + 1.14440i 1.20348 + 0.0502820i
\(519\) 10.7981 + 10.7981i 0.473984 + 0.473984i
\(520\) −0.0315465 0.115136i −0.00138341 0.00504904i
\(521\) 24.9407 24.9407i 1.09267 1.09267i 0.0974287 0.995243i \(-0.468938\pi\)
0.995243 0.0974287i \(-0.0310618\pi\)
\(522\) 5.32369 4.89668i 0.233012 0.214322i
\(523\) −5.48560 2.27221i −0.239868 0.0993567i 0.259511 0.965740i \(-0.416439\pi\)
−0.499379 + 0.866383i \(0.666439\pi\)
\(524\) −38.6656 19.9439i −1.68911 0.871254i
\(525\) 5.02960 + 12.1425i 0.219510 + 0.529943i
\(526\) −2.92654 7.99390i −0.127603 0.348551i
\(527\) 14.1664i 0.617097i
\(528\) 1.91416 11.3535i 0.0833031 0.494099i
\(529\) 46.2165i 2.00941i
\(530\) −0.0747254 + 0.0273568i −0.00324586 + 0.00118830i
\(531\) 1.17355 + 2.83320i 0.0509277 + 0.122950i
\(532\) −25.2279 + 8.05857i −1.09377 + 0.349383i
\(533\) −1.08766 0.450522i −0.0471116 0.0195143i
\(534\) 15.1975 + 16.5227i 0.657658 + 0.715009i
\(535\) 0.0636782 0.0636782i 0.00275305 0.00275305i
\(536\) −13.0648 16.8293i −0.564312 0.726914i
\(537\) −7.74719 7.74719i −0.334316 0.334316i
\(538\) −0.675144 + 16.1593i −0.0291075 + 0.696676i
\(539\) 2.73781 6.60966i 0.117926 0.284698i
\(540\) −0.0398286 + 0.475808i −0.00171395 + 0.0204755i
\(541\) −37.2615 + 15.4342i −1.60200 + 0.663569i −0.991697 0.128600i \(-0.958952\pi\)
−0.610302 + 0.792169i \(0.708952\pi\)
\(542\) −8.60373 + 18.5415i −0.369562 + 0.796428i
\(543\) −24.7983 −1.06420
\(544\) 6.25242 + 4.29111i 0.268070 + 0.183980i
\(545\) 0.556505 0.0238380
\(546\) −1.56527 + 3.37325i −0.0669873 + 0.144362i
\(547\) 0.454932 0.188439i 0.0194515 0.00805707i −0.372936 0.927857i \(-0.621649\pi\)
0.392388 + 0.919800i \(0.371649\pi\)
\(548\) −33.6893 2.82004i −1.43914 0.120466i
\(549\) 0.808063 1.95084i 0.0344873 0.0832597i
\(550\) 0.605411 14.4903i 0.0258148 0.617867i
\(551\) −24.7629 24.7629i −1.05493 1.05493i
\(552\) 32.7541 + 4.12467i 1.39411 + 0.175558i
\(553\) 10.8514 10.8514i 0.461449 0.461449i
\(554\) −14.4723 15.7344i −0.614869 0.668489i
\(555\) −0.565789 0.234357i −0.0240164 0.00994792i
\(556\) −4.19448 13.1311i −0.177885 0.556882i
\(557\) −10.5604 25.4951i −0.447460 1.08026i −0.973270 0.229662i \(-0.926238\pi\)
0.525810 0.850602i \(-0.323762\pi\)
\(558\) −14.4804 + 5.30125i −0.613006 + 0.224420i
\(559\) 5.90304i 0.249672i
\(560\) 0.0708075 + 0.308415i 0.00299216 + 0.0130329i
\(561\) 3.85869i 0.162914i
\(562\) −0.859609 2.34803i −0.0362604 0.0990459i
\(563\) −12.0391 29.0650i −0.507388 1.22494i −0.945382 0.325964i \(-0.894311\pi\)
0.437995 0.898978i \(-0.355689\pi\)
\(564\) −12.6460 + 24.5170i −0.532492 + 1.03235i
\(565\) −0.0671889 0.0278305i −0.00282666 0.00117084i
\(566\) 5.59681 5.14789i 0.235251 0.216382i
\(567\) 6.41456 6.41456i 0.269386 0.269386i
\(568\) 22.3745 39.2627i 0.938814 1.64743i
\(569\) 9.01457 + 9.01457i 0.377910 + 0.377910i 0.870348 0.492437i \(-0.163894\pi\)
−0.492437 + 0.870348i \(0.663894\pi\)
\(570\) 0.591095 + 0.0246963i 0.0247582 + 0.00103441i
\(571\) −6.08450 + 14.6893i −0.254628 + 0.614727i −0.998567 0.0535210i \(-0.982956\pi\)
0.743938 + 0.668248i \(0.232956\pi\)
\(572\) 3.13354 2.64946i 0.131020 0.110780i
\(573\) 3.50168 1.45044i 0.146285 0.0605931i
\(574\) 2.83069 + 1.31351i 0.118151 + 0.0548248i
\(575\) 41.5834 1.73415
\(576\) 2.04651 7.99683i 0.0852711 0.333201i
\(577\) 5.62489 0.234167 0.117084 0.993122i \(-0.462645\pi\)
0.117084 + 0.993122i \(0.462645\pi\)
\(578\) −19.5028 9.04978i −0.811210 0.376421i
\(579\) 32.8171 13.5933i 1.36383 0.564917i
\(580\) −0.319527 + 0.270166i −0.0132676 + 0.0112180i
\(581\) −5.47431 + 13.2162i −0.227113 + 0.548298i
\(582\) 14.6376 + 0.611567i 0.606748 + 0.0253503i
\(583\) −1.93415 1.93415i −0.0801042 0.0801042i
\(584\) 28.3093 + 16.1325i 1.17145 + 0.667568i
\(585\) −0.0307945 + 0.0307945i −0.00127319 + 0.00127319i
\(586\) 21.7296 19.9867i 0.897642 0.825642i
\(587\) 9.51250 + 3.94021i 0.392623 + 0.162630i 0.570256 0.821467i \(-0.306844\pi\)
−0.177633 + 0.984097i \(0.556844\pi\)
\(588\) −4.48498 + 8.69511i −0.184958 + 0.358580i
\(589\) 28.5705 + 68.9754i 1.17723 + 2.84208i
\(590\) −0.0609879 0.166589i −0.00251083 0.00685837i
\(591\) 28.4370i 1.16974i
\(592\) 35.0567 + 21.9653i 1.44082 + 0.902768i
\(593\) 36.9766i 1.51845i 0.650830 + 0.759224i \(0.274421\pi\)
−0.650830 + 0.759224i \(0.725579\pi\)
\(594\) −15.4121 + 5.64232i −0.632366 + 0.231507i
\(595\) 0.0405838 + 0.0979780i 0.00166377 + 0.00401671i
\(596\) 0.697400 + 2.18326i 0.0285666 + 0.0894298i
\(597\) −10.2930 4.26349i −0.421264 0.174493i
\(598\) 7.96509 + 8.65969i 0.325717 + 0.354121i
\(599\) 20.4511 20.4511i 0.835609 0.835609i −0.152668 0.988277i \(-0.548787\pi\)
0.988277 + 0.152668i \(0.0487867\pi\)
\(600\) −2.47799 + 19.6778i −0.101164 + 0.803343i
\(601\) 25.8677 + 25.8677i 1.05517 + 1.05517i 0.998387 + 0.0567784i \(0.0180829\pi\)
0.0567784 + 0.998387i \(0.481917\pi\)
\(602\) 0.653179 15.6336i 0.0266216 0.637176i
\(603\) −2.97429 + 7.18058i −0.121123 + 0.292416i
\(604\) 38.6255 + 3.23324i 1.57165 + 0.131559i
\(605\) 0.264783 0.109677i 0.0107650 0.00445899i
\(606\) 1.26640 2.72916i 0.0514439 0.110865i
\(607\) −5.96429 −0.242083 −0.121042 0.992647i \(-0.538623\pi\)
−0.121042 + 0.992647i \(0.538623\pi\)
\(608\) −39.0970 8.28344i −1.58559 0.335938i
\(609\) 13.0344 0.528180
\(610\) −0.0514160 + 0.110805i −0.00208177 + 0.00448634i
\(611\) −9.08334 + 3.76244i −0.367473 + 0.152212i
\(612\) 0.230761 2.75677i 0.00932797 0.111436i
\(613\) −4.98277 + 12.0295i −0.201252 + 0.485866i −0.991994 0.126284i \(-0.959695\pi\)
0.790742 + 0.612150i \(0.209695\pi\)
\(614\) 0.702858 16.8226i 0.0283650 0.678905i
\(615\) −0.0492923 0.0492923i −0.00198766 0.00198766i
\(616\) −8.59200 + 6.67008i −0.346182 + 0.268745i
\(617\) 17.7974 17.7974i 0.716495 0.716495i −0.251391 0.967886i \(-0.580888\pi\)
0.967886 + 0.251391i \(0.0808879\pi\)
\(618\) 5.05196 + 5.49251i 0.203220 + 0.220941i
\(619\) 17.4572 + 7.23102i 0.701665 + 0.290639i 0.704851 0.709356i \(-0.251014\pi\)
−0.00318554 + 0.999995i \(0.501014\pi\)
\(620\) 0.849752 0.271437i 0.0341269 0.0109012i
\(621\) −18.0085 43.4764i −0.722657 1.74465i
\(622\) −33.3565 + 12.2117i −1.33747 + 0.489645i
\(623\) 21.2079i 0.849677i
\(624\) −4.57252 + 3.25315i −0.183047 + 0.130230i
\(625\) 24.9733i 0.998931i
\(626\) 11.8400 + 32.3411i 0.473221 + 1.29261i
\(627\) 7.78216 + 18.7878i 0.310790 + 0.750313i
\(628\) 22.1512 + 11.4257i 0.883929 + 0.455935i
\(629\) 12.8091 + 5.30572i 0.510734 + 0.211553i
\(630\) 0.0849632 0.0781483i 0.00338501 0.00311350i
\(631\) −33.8185 + 33.8185i −1.34629 + 1.34629i −0.456644 + 0.889649i \(0.650949\pi\)
−0.889649 + 0.456644i \(0.849051\pi\)
\(632\) 22.3348 6.11959i 0.888431 0.243424i
\(633\) −1.51319 1.51319i −0.0601441 0.0601441i
\(634\) −31.1806 1.30274i −1.23834 0.0517386i
\(635\) 0.154132 0.372108i 0.00611654 0.0147666i
\(636\) 2.41516 + 2.85643i 0.0957673 + 0.113265i
\(637\) −3.22147 + 1.33438i −0.127639 + 0.0528699i
\(638\) −13.0469 6.05408i −0.516531 0.239683i
\(639\) −16.4856 −0.652161
\(640\) −0.137597 + 0.457264i −0.00543899 + 0.0180750i
\(641\) 18.4797 0.729903 0.364951 0.931027i \(-0.381086\pi\)
0.364951 + 0.931027i \(0.381086\pi\)
\(642\) −3.83993 1.78182i −0.151550 0.0703229i
\(643\) −19.0785 + 7.90259i −0.752385 + 0.311648i −0.725714 0.687996i \(-0.758490\pi\)
−0.0266704 + 0.999644i \(0.508490\pi\)
\(644\) −20.1365 23.8156i −0.793488 0.938465i
\(645\) −0.133762 + 0.322930i −0.00526688 + 0.0127154i
\(646\) −13.3821 0.559110i −0.526510 0.0219979i
\(647\) −4.39897 4.39897i −0.172941 0.172941i 0.615329 0.788270i \(-0.289023\pi\)
−0.788270 + 0.615329i \(0.789023\pi\)
\(648\) 13.2027 3.61745i 0.518651 0.142107i
\(649\) 4.31190 4.31190i 0.169257 0.169257i
\(650\) −5.20251 + 4.78522i −0.204059 + 0.187692i
\(651\) −25.6725 10.6339i −1.00619 0.416776i
\(652\) −34.6222 17.8583i −1.35591 0.699386i
\(653\) 2.02746 + 4.89471i 0.0793405 + 0.191545i 0.958572 0.284849i \(-0.0919435\pi\)
−0.879232 + 0.476394i \(0.841944\pi\)
\(654\) −8.99325 24.5652i −0.351664 0.960575i
\(655\) 0.918133i 0.0358744i
\(656\) 2.72990 + 3.83707i 0.106585 + 0.149812i
\(657\) 11.8865i 0.463736i
\(658\) 24.4725 8.95933i 0.954039 0.349271i
\(659\) 16.8242 + 40.6173i 0.655379 + 1.58222i 0.804863 + 0.593460i \(0.202239\pi\)
−0.149484 + 0.988764i \(0.547761\pi\)
\(660\) 0.231459 0.0739351i 0.00900953 0.00287792i
\(661\) −5.30944 2.19924i −0.206513 0.0855405i 0.277029 0.960861i \(-0.410650\pi\)
−0.483542 + 0.875321i \(0.660650\pi\)
\(662\) −12.8094 13.9265i −0.497852 0.541267i
\(663\) −1.32984 + 1.32984i −0.0516469 + 0.0516469i
\(664\) −17.0517 + 13.2375i −0.661735 + 0.513713i
\(665\) −0.395202 0.395202i −0.0153253 0.0153253i
\(666\) 0.629992 15.0786i 0.0244117 0.584284i
\(667\) 15.7818 38.1007i 0.611074 1.47526i
\(668\) −0.502072 + 5.99795i −0.0194257 + 0.232068i
\(669\) −11.4582 + 4.74614i −0.442999 + 0.183496i
\(670\) 0.189250 0.407846i 0.00731138 0.0157565i
\(671\) −4.19882 −0.162094
\(672\) 12.4698 8.10964i 0.481032 0.312836i
\(673\) 45.6326 1.75901 0.879503 0.475892i \(-0.157875\pi\)
0.879503 + 0.475892i \(0.157875\pi\)
\(674\) −12.3453 + 26.6048i −0.475522 + 1.02478i
\(675\) 26.1195 10.8190i 1.00534 0.416425i
\(676\) −1.99303 0.166831i −0.0766550 0.00641658i
\(677\) 0.465826 1.12460i 0.0179032 0.0432221i −0.914675 0.404190i \(-0.867554\pi\)
0.932578 + 0.360968i \(0.117554\pi\)
\(678\) −0.142705 + 3.41559i −0.00548057 + 0.131175i
\(679\) −9.78658 9.78658i −0.375575 0.375575i
\(680\) −0.0199949 + 0.158780i −0.000766770 + 0.00608894i
\(681\) −19.7005 + 19.7005i −0.754927 + 0.754927i
\(682\) 20.7580 + 22.5682i 0.794866 + 0.864182i
\(683\) −29.6803 12.2940i −1.13569 0.470416i −0.265976 0.963980i \(-0.585694\pi\)
−0.869710 + 0.493563i \(0.835694\pi\)
\(684\) 4.43624 + 13.8880i 0.169624 + 0.531019i
\(685\) −0.273025 0.659142i −0.0104318 0.0251845i
\(686\) 26.1033 9.55635i 0.996629 0.364863i
\(687\) 17.5113i 0.668097i
\(688\) 12.5369 20.0090i 0.477967 0.762836i
\(689\) 1.33315i 0.0507891i
\(690\) 0.239509 + 0.654222i 0.00911795 + 0.0249058i
\(691\) 2.35974 + 5.69691i 0.0897687 + 0.216721i 0.962387 0.271682i \(-0.0875798\pi\)
−0.872618 + 0.488403i \(0.837580\pi\)
\(692\) 9.97973 19.3479i 0.379372 0.735496i
\(693\) 3.66597 + 1.51849i 0.139259 + 0.0576828i
\(694\) 11.7781 10.8334i 0.447092 0.411231i
\(695\) 0.205702 0.205702i 0.00780272 0.00780272i
\(696\) 17.0893 + 9.73860i 0.647767 + 0.369141i
\(697\) 1.11595 + 1.11595i 0.0422696 + 0.0422696i
\(698\) 1.02915 + 0.0429983i 0.0389537 + 0.00162751i
\(699\) −4.63524 + 11.1905i −0.175321 + 0.423262i
\(700\) 14.3078 12.0974i 0.540782 0.457241i
\(701\) 21.4136 8.86979i 0.808779 0.335007i 0.0603125 0.998180i \(-0.480790\pi\)
0.748467 + 0.663172i \(0.230790\pi\)
\(702\) 7.25610 + 3.36701i 0.273864 + 0.127080i
\(703\) −73.0676 −2.75580
\(704\) −16.2484 + 2.32559i −0.612385 + 0.0876488i
\(705\) −0.582167 −0.0219257
\(706\) 1.02351 + 0.474932i 0.0385201 + 0.0178743i
\(707\) −2.62596 + 1.08771i −0.0987593 + 0.0409075i
\(708\) −6.36799 + 5.38424i −0.239324 + 0.202352i
\(709\) 1.79886 4.34283i 0.0675575 0.163098i −0.886495 0.462739i \(-0.846867\pi\)
0.954052 + 0.299641i \(0.0968668\pi\)
\(710\) 0.952847 + 0.0398105i 0.0357597 + 0.00149406i
\(711\) −5.97371 5.97371i −0.224032 0.224032i
\(712\) 15.8454 27.8055i 0.593832 1.04205i
\(713\) −62.1677 + 62.1677i −2.32820 + 2.32820i
\(714\) 3.66909 3.37480i 0.137312 0.126299i
\(715\) 0.0800064 + 0.0331397i 0.00299207 + 0.00123936i
\(716\) −7.16005 + 13.8813i −0.267584 + 0.518769i
\(717\) −0.954825 2.30515i −0.0356586 0.0860875i
\(718\) −2.04953 5.59833i −0.0764879 0.208928i
\(719\) 9.07164i 0.338315i −0.985589 0.169158i \(-0.945895\pi\)
0.985589 0.169158i \(-0.0541047\pi\)
\(720\) 0.169783 0.0389795i 0.00632743 0.00145268i
\(721\) 7.04996i 0.262554i
\(722\) 41.0519 15.0290i 1.52779 0.559321i
\(723\) 7.87765 + 19.0183i 0.292973 + 0.707299i
\(724\) 10.7572 + 33.6761i 0.399787 + 1.25156i
\(725\) 22.8899 + 9.48129i 0.850108 + 0.352126i
\(726\) −9.12030 9.91563i −0.338486 0.368004i
\(727\) −7.72242 + 7.72242i −0.286409 + 0.286409i −0.835658 0.549250i \(-0.814914\pi\)
0.549250 + 0.835658i \(0.314914\pi\)
\(728\) 5.25986 + 0.662365i 0.194943 + 0.0245489i
\(729\) −20.3646 20.3646i −0.754246 0.754246i
\(730\) −0.0287042 + 0.687023i −0.00106239 + 0.0254279i
\(731\) 3.02830 7.31096i 0.112006 0.270406i
\(732\) 5.72202 + 0.478975i 0.211492 + 0.0177034i
\(733\) −14.2669 + 5.90955i −0.526961 + 0.218274i −0.630272 0.776375i \(-0.717056\pi\)
0.103311 + 0.994649i \(0.467056\pi\)
\(734\) 6.53409 14.0813i 0.241177 0.519752i
\(735\) −0.206470 −0.00761575
\(736\) −8.60700 46.2693i −0.317258 1.70551i
\(737\) 15.4549 0.569288
\(738\) 0.723086 1.55829i 0.0266172 0.0573616i
\(739\) 26.3508 10.9149i 0.969331 0.401510i 0.158868 0.987300i \(-0.449215\pi\)
0.810463 + 0.585790i \(0.199215\pi\)
\(740\) −0.0728255 + 0.870002i −0.00267712 + 0.0319819i
\(741\) 3.79294 9.15696i 0.139337 0.336389i
\(742\) 0.147515 3.53071i 0.00541545 0.129616i
\(743\) −13.0743 13.0743i −0.479651 0.479651i 0.425369 0.905020i \(-0.360144\pi\)
−0.905020 + 0.425369i \(0.860144\pi\)
\(744\) −25.7139 33.1232i −0.942719 1.21436i
\(745\) −0.0342013 + 0.0342013i −0.00125304 + 0.00125304i
\(746\) −2.25942 2.45645i −0.0827231 0.0899370i
\(747\) 7.27549 + 3.01361i 0.266196 + 0.110262i
\(748\) −5.24010 + 1.67385i −0.191597 + 0.0612020i
\(749\) 1.53040 + 3.69472i 0.0559198 + 0.135002i
\(750\) −0.786219 + 0.287832i −0.0287086 + 0.0105102i
\(751\) 5.15515i 0.188114i −0.995567 0.0940570i \(-0.970016\pi\)
0.995567 0.0940570i \(-0.0299836\pi\)
\(752\) 38.7797 + 6.53809i 1.41415 + 0.238420i
\(753\) 27.9364i 1.01806i
\(754\) 2.40997 + 6.58288i 0.0877660 + 0.239734i
\(755\) 0.313029 + 0.755720i 0.0113923 + 0.0275035i
\(756\) −18.8444 9.72005i −0.685365 0.353515i
\(757\) 11.8137 + 4.89341i 0.429378 + 0.177854i 0.586897 0.809662i \(-0.300349\pi\)
−0.157519 + 0.987516i \(0.550349\pi\)
\(758\) −6.95967 + 6.40144i −0.252787 + 0.232511i
\(759\) −16.9335 + 16.9335i −0.614647 + 0.614647i
\(760\) −0.222871 0.813419i −0.00808440 0.0295058i
\(761\) −9.86724 9.86724i −0.357687 0.357687i 0.505273 0.862960i \(-0.331392\pi\)
−0.862960 + 0.505273i \(0.831392\pi\)
\(762\) −18.9164 0.790336i −0.685267 0.0286309i
\(763\) −9.45735 + 22.8321i −0.342379 + 0.826576i
\(764\) −3.48868 4.12610i −0.126216 0.149277i
\(765\) 0.0539369 0.0223414i 0.00195009 0.000807755i
\(766\) 26.2638 + 12.1870i 0.948948 + 0.440335i
\(767\) −2.97207 −0.107315
\(768\) 22.4081 1.31572i 0.808583 0.0474768i
\(769\) −3.19833 −0.115335 −0.0576673 0.998336i