Properties

Label 966.2.l.d.47.14
Level $966$
Weight $2$
Character 966.47
Analytic conductor $7.714$
Analytic rank $0$
Dimension $56$
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [966,2,Mod(47,966)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(966, base_ring=CyclotomicField(6))
 
chi = DirichletCharacter(H, H._module([3, 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("966.47");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 966.l (of order \(6\), degree \(2\), 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: \(7.71354883526\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(28\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 47.14
Character \(\chi\) \(=\) 966.47
Dual form 966.2.l.d.185.14

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(1.71535 - 0.239977i) q^{3} +(0.500000 + 0.866025i) q^{4} +(0.203133 - 0.351837i) q^{5} +(-1.60552 - 0.649847i) q^{6} +(2.64215 + 0.138089i) q^{7} -1.00000i q^{8} +(2.88482 - 0.823286i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(1.71535 - 0.239977i) q^{3} +(0.500000 + 0.866025i) q^{4} +(0.203133 - 0.351837i) q^{5} +(-1.60552 - 0.649847i) q^{6} +(2.64215 + 0.138089i) q^{7} -1.00000i q^{8} +(2.88482 - 0.823286i) q^{9} +(-0.351837 + 0.203133i) q^{10} +(-0.507052 + 0.292747i) q^{11} +(1.06550 + 1.36554i) q^{12} -5.38874i q^{13} +(-2.21912 - 1.44066i) q^{14} +(0.264011 - 0.652269i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-2.37746 - 4.11789i) q^{17} +(-2.90997 - 0.729424i) q^{18} +(-2.00521 - 1.15771i) q^{19} +0.406266 q^{20} +(4.56533 - 0.397183i) q^{21} +0.585493 q^{22} +(-0.866025 - 0.500000i) q^{23} +(-0.239977 - 1.71535i) q^{24} +(2.41747 + 4.18719i) q^{25} +(-2.69437 + 4.66678i) q^{26} +(4.75090 - 2.10451i) q^{27} +(1.20148 + 2.35721i) q^{28} +4.66579i q^{29} +(-0.554774 + 0.432876i) q^{30} +(6.37174 - 3.67873i) q^{31} +(0.866025 - 0.500000i) q^{32} +(-0.799517 + 0.623842i) q^{33} +4.75493i q^{34} +(0.585292 - 0.901553i) q^{35} +(2.15540 + 2.08669i) q^{36} +(-3.85694 + 6.68042i) q^{37} +(1.15771 + 2.00521i) q^{38} +(-1.29317 - 9.24354i) q^{39} +(-0.351837 - 0.203133i) q^{40} -2.48393 q^{41} +(-4.15228 - 1.93870i) q^{42} -0.0777633 q^{43} +(-0.507052 - 0.292747i) q^{44} +(0.296340 - 1.18222i) q^{45} +(0.500000 + 0.866025i) q^{46} +(5.12400 - 8.87503i) q^{47} +(-0.649847 + 1.60552i) q^{48} +(6.96186 + 0.729704i) q^{49} -4.83495i q^{50} +(-5.06637 - 6.49306i) q^{51} +(4.66678 - 2.69437i) q^{52} +(2.29429 - 1.32461i) q^{53} +(-5.16665 - 0.552889i) q^{54} +0.237866i q^{55} +(0.138089 - 2.64215i) q^{56} +(-3.71745 - 1.50467i) q^{57} +(2.33290 - 4.04070i) q^{58} +(5.50497 + 9.53488i) q^{59} +(0.696886 - 0.0974944i) q^{60} +(0.109261 + 0.0630820i) q^{61} -7.35745 q^{62} +(7.73581 - 1.77688i) q^{63} -1.00000 q^{64} +(-1.89595 - 1.09463i) q^{65} +(1.00432 - 0.140505i) q^{66} +(-0.572437 - 0.991489i) q^{67} +(2.37746 - 4.11789i) q^{68} +(-1.60552 - 0.649847i) q^{69} +(-0.957654 + 0.488122i) q^{70} +1.39096i q^{71} +(-0.823286 - 2.88482i) q^{72} +(-7.13315 + 4.11833i) q^{73} +(6.68042 - 3.85694i) q^{74} +(5.15163 + 6.60234i) q^{75} -2.31542i q^{76} +(-1.38013 + 0.703461i) q^{77} +(-3.50185 + 8.65173i) q^{78} +(-4.72544 + 8.18470i) q^{79} +(0.203133 + 0.351837i) q^{80} +(7.64440 - 4.75007i) q^{81} +(2.15115 + 1.24196i) q^{82} -10.8067 q^{83} +(2.62664 + 3.75510i) q^{84} -1.93176 q^{85} +(0.0673450 + 0.0388816i) q^{86} +(1.11968 + 8.00345i) q^{87} +(0.292747 + 0.507052i) q^{88} +(0.0584772 - 0.101285i) q^{89} +(-0.847749 + 0.875665i) q^{90} +(0.744126 - 14.2378i) q^{91} -1.00000i q^{92} +(10.0469 - 7.83936i) q^{93} +(-8.87503 + 5.12400i) q^{94} +(-0.814649 + 0.470338i) q^{95} +(1.36554 - 1.06550i) q^{96} -13.1555i q^{97} +(-5.66430 - 4.11287i) q^{98} +(-1.22174 + 1.26197i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56 q + 28 q^{4} + 8 q^{7} + 10 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 56 q + 28 q^{4} + 8 q^{7} + 10 q^{9} + 12 q^{10} + 8 q^{15} - 28 q^{16} - 8 q^{18} - 24 q^{19} - 4 q^{21} - 12 q^{22} + 6 q^{24} - 8 q^{25} + 10 q^{28} + 6 q^{30} - 6 q^{31} + 30 q^{33} + 20 q^{36} + 4 q^{37} - 10 q^{39} + 12 q^{40} + 8 q^{42} - 104 q^{43} - 6 q^{45} + 28 q^{46} + 40 q^{49} - 22 q^{51} - 6 q^{52} + 18 q^{54} + 68 q^{57} - 30 q^{58} + 4 q^{60} - 84 q^{61} - 6 q^{63} - 56 q^{64} - 30 q^{66} + 2 q^{67} + 30 q^{70} + 8 q^{72} + 54 q^{73} - 24 q^{75} + 68 q^{78} - 6 q^{79} + 22 q^{81} + 4 q^{84} - 108 q^{85} - 126 q^{87} - 6 q^{88} - 42 q^{91} + 36 q^{93} - 18 q^{94} + 6 q^{96} + 48 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{6}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) 1.71535 0.239977i 0.990355 0.138551i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) 0.203133 0.351837i 0.0908438 0.157346i −0.817023 0.576606i \(-0.804377\pi\)
0.907866 + 0.419260i \(0.137710\pi\)
\(6\) −1.60552 0.649847i −0.655451 0.265299i
\(7\) 2.64215 + 0.138089i 0.998637 + 0.0521928i
\(8\) 1.00000i 0.353553i
\(9\) 2.88482 0.823286i 0.961607 0.274429i
\(10\) −0.351837 + 0.203133i −0.111260 + 0.0642363i
\(11\) −0.507052 + 0.292747i −0.152882 + 0.0882664i −0.574489 0.818512i \(-0.694799\pi\)
0.421607 + 0.906778i \(0.361466\pi\)
\(12\) 1.06550 + 1.36554i 0.307583 + 0.394199i
\(13\) 5.38874i 1.49457i −0.664506 0.747283i \(-0.731358\pi\)
0.664506 0.747283i \(-0.268642\pi\)
\(14\) −2.21912 1.44066i −0.593085 0.385033i
\(15\) 0.264011 0.652269i 0.0681672 0.168415i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −2.37746 4.11789i −0.576619 0.998734i −0.995864 0.0908606i \(-0.971038\pi\)
0.419244 0.907873i \(-0.362295\pi\)
\(18\) −2.90997 0.729424i −0.685887 0.171927i
\(19\) −2.00521 1.15771i −0.460027 0.265597i 0.252029 0.967720i \(-0.418902\pi\)
−0.712056 + 0.702123i \(0.752236\pi\)
\(20\) 0.406266 0.0908438
\(21\) 4.56533 0.397183i 0.996237 0.0866724i
\(22\) 0.585493 0.124828
\(23\) −0.866025 0.500000i −0.180579 0.104257i
\(24\) −0.239977 1.71535i −0.0489851 0.350143i
\(25\) 2.41747 + 4.18719i 0.483495 + 0.837438i
\(26\) −2.69437 + 4.66678i −0.528409 + 0.915231i
\(27\) 4.75090 2.10451i 0.914311 0.405013i
\(28\) 1.20148 + 2.35721i 0.227059 + 0.445471i
\(29\) 4.66579i 0.866416i 0.901294 + 0.433208i \(0.142619\pi\)
−0.901294 + 0.433208i \(0.857381\pi\)
\(30\) −0.554774 + 0.432876i −0.101287 + 0.0790320i
\(31\) 6.37174 3.67873i 1.14440 0.660719i 0.196882 0.980427i \(-0.436918\pi\)
0.947516 + 0.319708i \(0.103585\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) −0.799517 + 0.623842i −0.139178 + 0.108597i
\(34\) 4.75493i 0.815463i
\(35\) 0.585292 0.901553i 0.0989323 0.152390i
\(36\) 2.15540 + 2.08669i 0.359233 + 0.347781i
\(37\) −3.85694 + 6.68042i −0.634078 + 1.09825i 0.352632 + 0.935762i \(0.385287\pi\)
−0.986710 + 0.162493i \(0.948047\pi\)
\(38\) 1.15771 + 2.00521i 0.187805 + 0.325288i
\(39\) −1.29317 9.24354i −0.207073 1.48015i
\(40\) −0.351837 0.203133i −0.0556302 0.0321181i
\(41\) −2.48393 −0.387925 −0.193962 0.981009i \(-0.562134\pi\)
−0.193962 + 0.981009i \(0.562134\pi\)
\(42\) −4.15228 1.93870i −0.640711 0.299147i
\(43\) −0.0777633 −0.0118588 −0.00592940 0.999982i \(-0.501887\pi\)
−0.00592940 + 0.999982i \(0.501887\pi\)
\(44\) −0.507052 0.292747i −0.0764410 0.0441332i
\(45\) 0.296340 1.18222i 0.0441758 0.176235i
\(46\) 0.500000 + 0.866025i 0.0737210 + 0.127688i
\(47\) 5.12400 8.87503i 0.747412 1.29456i −0.201647 0.979458i \(-0.564629\pi\)
0.949059 0.315098i \(-0.102037\pi\)
\(48\) −0.649847 + 1.60552i −0.0937973 + 0.231737i
\(49\) 6.96186 + 0.729704i 0.994552 + 0.104243i
\(50\) 4.83495i 0.683765i
\(51\) −5.06637 6.49306i −0.709433 0.909211i
\(52\) 4.66678 2.69437i 0.647166 0.373642i
\(53\) 2.29429 1.32461i 0.315145 0.181949i −0.334081 0.942544i \(-0.608426\pi\)
0.649227 + 0.760595i \(0.275093\pi\)
\(54\) −5.16665 0.552889i −0.703093 0.0752386i
\(55\) 0.237866i 0.0320738i
\(56\) 0.138089 2.64215i 0.0184529 0.353072i
\(57\) −3.71745 1.50467i −0.492389 0.199298i
\(58\) 2.33290 4.04070i 0.306324 0.530569i
\(59\) 5.50497 + 9.53488i 0.716686 + 1.24134i 0.962306 + 0.271970i \(0.0876751\pi\)
−0.245620 + 0.969366i \(0.578992\pi\)
\(60\) 0.696886 0.0974944i 0.0899677 0.0125865i
\(61\) 0.109261 + 0.0630820i 0.0139895 + 0.00807682i 0.506978 0.861959i \(-0.330762\pi\)
−0.492989 + 0.870036i \(0.664096\pi\)
\(62\) −7.35745 −0.934397
\(63\) 7.73581 1.77688i 0.974620 0.223866i
\(64\) −1.00000 −0.125000
\(65\) −1.89595 1.09463i −0.235164 0.135772i
\(66\) 1.00432 0.140505i 0.123624 0.0172949i
\(67\) −0.572437 0.991489i −0.0699343 0.121130i 0.828938 0.559341i \(-0.188946\pi\)
−0.898872 + 0.438211i \(0.855612\pi\)
\(68\) 2.37746 4.11789i 0.288310 0.499367i
\(69\) −1.60552 0.649847i −0.193282 0.0782324i
\(70\) −0.957654 + 0.488122i −0.114462 + 0.0583417i
\(71\) 1.39096i 0.165077i 0.996588 + 0.0825384i \(0.0263027\pi\)
−0.996588 + 0.0825384i \(0.973697\pi\)
\(72\) −0.823286 2.88482i −0.0970252 0.339980i
\(73\) −7.13315 + 4.11833i −0.834872 + 0.482014i −0.855518 0.517773i \(-0.826761\pi\)
0.0206459 + 0.999787i \(0.493428\pi\)
\(74\) 6.68042 3.85694i 0.776584 0.448361i
\(75\) 5.15163 + 6.60234i 0.594859 + 0.762372i
\(76\) 2.31542i 0.265597i
\(77\) −1.38013 + 0.703461i −0.157280 + 0.0801668i
\(78\) −3.50185 + 8.65173i −0.396507 + 0.979616i
\(79\) −4.72544 + 8.18470i −0.531653 + 0.920850i 0.467664 + 0.883906i \(0.345096\pi\)
−0.999317 + 0.0369442i \(0.988238\pi\)
\(80\) 0.203133 + 0.351837i 0.0227110 + 0.0393365i
\(81\) 7.64440 4.75007i 0.849378 0.527786i
\(82\) 2.15115 + 1.24196i 0.237554 + 0.137152i
\(83\) −10.8067 −1.18619 −0.593097 0.805131i \(-0.702095\pi\)
−0.593097 + 0.805131i \(0.702095\pi\)
\(84\) 2.62664 + 3.75510i 0.286589 + 0.409715i
\(85\) −1.93176 −0.209529
\(86\) 0.0673450 + 0.0388816i 0.00726200 + 0.00419272i
\(87\) 1.11968 + 8.00345i 0.120043 + 0.858060i
\(88\) 0.292747 + 0.507052i 0.0312069 + 0.0540519i
\(89\) 0.0584772 0.101285i 0.00619857 0.0107362i −0.862909 0.505359i \(-0.831360\pi\)
0.869108 + 0.494622i \(0.164694\pi\)
\(90\) −0.847749 + 0.875665i −0.0893606 + 0.0923032i
\(91\) 0.744126 14.2378i 0.0780056 1.49253i
\(92\) 1.00000i 0.104257i
\(93\) 10.0469 7.83936i 1.04182 0.812903i
\(94\) −8.87503 + 5.12400i −0.915389 + 0.528500i
\(95\) −0.814649 + 0.470338i −0.0835812 + 0.0482556i
\(96\) 1.36554 1.06550i 0.139370 0.108747i
\(97\) 13.1555i 1.33574i −0.744280 0.667868i \(-0.767207\pi\)
0.744280 0.667868i \(-0.232793\pi\)
\(98\) −5.66430 4.11287i −0.572181 0.415463i
\(99\) −1.22174 + 1.26197i −0.122790 + 0.126833i
\(100\) −2.41747 + 4.18719i −0.241747 + 0.418719i
\(101\) 2.72865 + 4.72616i 0.271511 + 0.470270i 0.969249 0.246082i \(-0.0791434\pi\)
−0.697738 + 0.716353i \(0.745810\pi\)
\(102\) 1.14107 + 8.15634i 0.112983 + 0.807598i
\(103\) 6.54129 + 3.77662i 0.644533 + 0.372121i 0.786358 0.617770i \(-0.211964\pi\)
−0.141826 + 0.989892i \(0.545297\pi\)
\(104\) −5.38874 −0.528409
\(105\) 0.787626 1.68693i 0.0768644 0.164628i
\(106\) −2.64922 −0.257315
\(107\) 8.84917 + 5.10907i 0.855481 + 0.493912i 0.862497 0.506063i \(-0.168900\pi\)
−0.00701511 + 0.999975i \(0.502233\pi\)
\(108\) 4.19801 + 3.06214i 0.403954 + 0.294655i
\(109\) 0.800119 + 1.38585i 0.0766375 + 0.132740i 0.901797 0.432160i \(-0.142248\pi\)
−0.825160 + 0.564900i \(0.808915\pi\)
\(110\) 0.118933 0.205998i 0.0113398 0.0196411i
\(111\) −5.01285 + 12.3848i −0.475798 + 1.17551i
\(112\) −1.44066 + 2.21912i −0.136130 + 0.209687i
\(113\) 15.2625i 1.43578i −0.696158 0.717889i \(-0.745109\pi\)
0.696158 0.717889i \(-0.254891\pi\)
\(114\) 2.46707 + 3.16181i 0.231063 + 0.296130i
\(115\) −0.351837 + 0.203133i −0.0328089 + 0.0189422i
\(116\) −4.04070 + 2.33290i −0.375169 + 0.216604i
\(117\) −4.43647 15.5455i −0.410152 1.43719i
\(118\) 11.0099i 1.01355i
\(119\) −5.71297 11.2084i −0.523707 1.02747i
\(120\) −0.652269 0.264011i −0.0595437 0.0241008i
\(121\) −5.32860 + 9.22940i −0.484418 + 0.839037i
\(122\) −0.0630820 0.109261i −0.00571117 0.00989204i
\(123\) −4.26080 + 0.596085i −0.384183 + 0.0537472i
\(124\) 6.37174 + 3.67873i 0.572199 + 0.330359i
\(125\) 3.99560 0.357378
\(126\) −7.58784 2.32908i −0.675979 0.207491i
\(127\) −16.1802 −1.43576 −0.717880 0.696167i \(-0.754887\pi\)
−0.717880 + 0.696167i \(0.754887\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) −0.133391 + 0.0186614i −0.0117444 + 0.00164304i
\(130\) 1.09463 + 1.89595i 0.0960054 + 0.166286i
\(131\) 2.96416 5.13407i 0.258980 0.448566i −0.706989 0.707224i \(-0.749947\pi\)
0.965969 + 0.258658i \(0.0832804\pi\)
\(132\) −0.940022 0.380481i −0.0818184 0.0331166i
\(133\) −5.13819 3.33573i −0.445538 0.289245i
\(134\) 1.14487i 0.0989020i
\(135\) 0.224620 2.09904i 0.0193322 0.180656i
\(136\) −4.11789 + 2.37746i −0.353106 + 0.203866i
\(137\) 7.16011 4.13389i 0.611729 0.353182i −0.161913 0.986805i \(-0.551766\pi\)
0.773642 + 0.633623i \(0.218433\pi\)
\(138\) 1.06550 + 1.36554i 0.0907013 + 0.116243i
\(139\) 7.61881i 0.646219i 0.946362 + 0.323109i \(0.104728\pi\)
−0.946362 + 0.323109i \(0.895272\pi\)
\(140\) 1.07341 + 0.0561009i 0.0907200 + 0.00474139i
\(141\) 6.65963 16.4534i 0.560842 1.38562i
\(142\) 0.695481 1.20461i 0.0583634 0.101088i
\(143\) 1.57753 + 2.73237i 0.131920 + 0.228492i
\(144\) −0.729424 + 2.90997i −0.0607853 + 0.242498i
\(145\) 1.64160 + 0.947777i 0.136327 + 0.0787086i
\(146\) 8.23665 0.681670
\(147\) 12.1171 0.418992i 0.999403 0.0345579i
\(148\) −7.71389 −0.634078
\(149\) 16.3309 + 9.42866i 1.33788 + 0.772426i 0.986493 0.163804i \(-0.0523764\pi\)
0.351388 + 0.936230i \(0.385710\pi\)
\(150\) −1.16028 8.29361i −0.0947361 0.677170i
\(151\) 1.05175 + 1.82169i 0.0855903 + 0.148247i 0.905643 0.424042i \(-0.139389\pi\)
−0.820052 + 0.572289i \(0.806056\pi\)
\(152\) −1.15771 + 2.00521i −0.0939026 + 0.162644i
\(153\) −10.2488 9.92204i −0.828563 0.802149i
\(154\) 1.54696 + 0.0808503i 0.124657 + 0.00651510i
\(155\) 2.98908i 0.240089i
\(156\) 7.35856 5.74169i 0.589156 0.459703i
\(157\) −10.7257 + 6.19247i −0.856002 + 0.494213i −0.862671 0.505765i \(-0.831210\pi\)
0.00666972 + 0.999978i \(0.497877\pi\)
\(158\) 8.18470 4.72544i 0.651140 0.375936i
\(159\) 3.61763 2.82274i 0.286897 0.223858i
\(160\) 0.406266i 0.0321181i
\(161\) −2.21912 1.44066i −0.174891 0.113540i
\(162\) −8.99528 + 0.291482i −0.706736 + 0.0229010i
\(163\) −4.56933 + 7.91431i −0.357898 + 0.619897i −0.987609 0.156932i \(-0.949840\pi\)
0.629712 + 0.776829i \(0.283173\pi\)
\(164\) −1.24196 2.15115i −0.0969811 0.167976i
\(165\) 0.0570823 + 0.408022i 0.00444385 + 0.0317645i
\(166\) 9.35891 + 5.40337i 0.726393 + 0.419383i
\(167\) −24.0829 −1.86359 −0.931796 0.362983i \(-0.881758\pi\)
−0.931796 + 0.362983i \(0.881758\pi\)
\(168\) −0.397183 4.56533i −0.0306433 0.352223i
\(169\) −16.0385 −1.23373
\(170\) 1.67296 + 0.965882i 0.128310 + 0.0740798i
\(171\) −6.73780 1.68892i −0.515253 0.129155i
\(172\) −0.0388816 0.0673450i −0.00296470 0.00513501i
\(173\) −0.321290 + 0.556491i −0.0244272 + 0.0423092i −0.877981 0.478696i \(-0.841110\pi\)
0.853553 + 0.521005i \(0.174443\pi\)
\(174\) 3.03205 7.49103i 0.229859 0.567894i
\(175\) 5.80911 + 11.3970i 0.439128 + 0.861531i
\(176\) 0.585493i 0.0441332i
\(177\) 11.7311 + 15.0346i 0.881762 + 1.13007i
\(178\) −0.101285 + 0.0584772i −0.00759167 + 0.00438305i
\(179\) 18.4147 10.6317i 1.37638 0.794653i 0.384657 0.923059i \(-0.374320\pi\)
0.991722 + 0.128407i \(0.0409863\pi\)
\(180\) 1.17200 0.334473i 0.0873561 0.0249302i
\(181\) 13.7180i 1.01965i 0.860279 + 0.509824i \(0.170290\pi\)
−0.860279 + 0.509824i \(0.829710\pi\)
\(182\) −7.76334 + 11.9583i −0.575457 + 0.886405i
\(183\) 0.202559 + 0.0819873i 0.0149736 + 0.00606067i
\(184\) −0.500000 + 0.866025i −0.0368605 + 0.0638442i
\(185\) 1.56694 + 2.71403i 0.115204 + 0.199539i
\(186\) −12.6206 + 1.76562i −0.925385 + 0.129461i
\(187\) 2.41099 + 1.39199i 0.176309 + 0.101792i
\(188\) 10.2480 0.747412
\(189\) 12.8432 4.90438i 0.934203 0.356741i
\(190\) 0.940675 0.0682437
\(191\) −12.9442 7.47336i −0.936612 0.540753i −0.0477154 0.998861i \(-0.515194\pi\)
−0.888897 + 0.458108i \(0.848527\pi\)
\(192\) −1.71535 + 0.239977i −0.123794 + 0.0173188i
\(193\) −0.819707 1.41977i −0.0590038 0.102198i 0.835015 0.550228i \(-0.185459\pi\)
−0.894018 + 0.448030i \(0.852126\pi\)
\(194\) −6.57773 + 11.3930i −0.472254 + 0.817968i
\(195\) −3.51490 1.42268i −0.251707 0.101880i
\(196\) 2.84899 + 6.39400i 0.203499 + 0.456714i
\(197\) 21.1786i 1.50891i 0.656351 + 0.754456i \(0.272099\pi\)
−0.656351 + 0.754456i \(0.727901\pi\)
\(198\) 1.68904 0.482029i 0.120035 0.0342563i
\(199\) 9.57411 5.52761i 0.678690 0.391842i −0.120671 0.992693i \(-0.538505\pi\)
0.799361 + 0.600850i \(0.205171\pi\)
\(200\) 4.18719 2.41747i 0.296079 0.170941i
\(201\) −1.21986 1.56338i −0.0860424 0.110272i
\(202\) 5.45730i 0.383974i
\(203\) −0.644296 + 12.3277i −0.0452207 + 0.865235i
\(204\) 3.08997 7.63413i 0.216341 0.534496i
\(205\) −0.504568 + 0.873937i −0.0352405 + 0.0610384i
\(206\) −3.77662 6.54129i −0.263129 0.455754i
\(207\) −2.90997 0.729424i −0.202257 0.0506985i
\(208\) 4.66678 + 2.69437i 0.323583 + 0.186821i
\(209\) 1.35566 0.0937730
\(210\) −1.52557 + 1.06711i −0.105274 + 0.0736378i
\(211\) 0.387624 0.0266851 0.0133426 0.999911i \(-0.495753\pi\)
0.0133426 + 0.999911i \(0.495753\pi\)
\(212\) 2.29429 + 1.32461i 0.157573 + 0.0909746i
\(213\) 0.333799 + 2.38598i 0.0228715 + 0.163485i
\(214\) −5.10907 8.84917i −0.349249 0.604917i
\(215\) −0.0157963 + 0.0273600i −0.00107730 + 0.00186593i
\(216\) −2.10451 4.75090i −0.143194 0.323258i
\(217\) 17.3431 8.83986i 1.17732 0.600089i
\(218\) 1.60024i 0.108382i
\(219\) −11.2475 + 8.77614i −0.760037 + 0.593037i
\(220\) −0.205998 + 0.118933i −0.0138884 + 0.00801846i
\(221\) −22.1902 + 12.8115i −1.49267 + 0.861796i
\(222\) 10.5337 8.21914i 0.706973 0.551633i
\(223\) 11.4119i 0.764195i 0.924122 + 0.382097i \(0.124798\pi\)
−0.924122 + 0.382097i \(0.875202\pi\)
\(224\) 2.35721 1.20148i 0.157498 0.0802775i
\(225\) 10.4212 + 10.0890i 0.694749 + 0.672601i
\(226\) −7.63126 + 13.2177i −0.507624 + 0.879230i
\(227\) −0.0712898 0.123478i −0.00473167 0.00819550i 0.863650 0.504092i \(-0.168173\pi\)
−0.868382 + 0.495897i \(0.834839\pi\)
\(228\) −0.555646 3.97174i −0.0367986 0.263035i
\(229\) 15.8683 + 9.16158i 1.04861 + 0.605414i 0.922259 0.386572i \(-0.126341\pi\)
0.126349 + 0.991986i \(0.459674\pi\)
\(230\) 0.406266 0.0267884
\(231\) −2.19859 + 1.53788i −0.144656 + 0.101185i
\(232\) 4.66579 0.306324
\(233\) 15.4278 + 8.90725i 1.01071 + 0.583533i 0.911399 0.411523i \(-0.135003\pi\)
0.0993100 + 0.995057i \(0.468336\pi\)
\(234\) −3.93067 + 15.6811i −0.256956 + 1.02510i
\(235\) −2.08171 3.60562i −0.135796 0.235205i
\(236\) −5.50497 + 9.53488i −0.358343 + 0.620668i
\(237\) −6.14162 + 15.1736i −0.398941 + 0.985630i
\(238\) −0.656604 + 12.5632i −0.0425613 + 0.814351i
\(239\) 19.6390i 1.27034i −0.772373 0.635169i \(-0.780930\pi\)
0.772373 0.635169i \(-0.219070\pi\)
\(240\) 0.432876 + 0.554774i 0.0279420 + 0.0358105i
\(241\) −14.5336 + 8.39100i −0.936194 + 0.540512i −0.888765 0.458363i \(-0.848436\pi\)
−0.0474287 + 0.998875i \(0.515103\pi\)
\(242\) 9.22940 5.32860i 0.593289 0.342535i
\(243\) 11.9729 9.98249i 0.768061 0.640377i
\(244\) 0.126164i 0.00807682i
\(245\) 1.67092 2.30121i 0.106751 0.147019i
\(246\) 3.98800 + 1.61417i 0.254266 + 0.102916i
\(247\) −6.23859 + 10.8055i −0.396952 + 0.687541i
\(248\) −3.67873 6.37174i −0.233599 0.404606i
\(249\) −18.5373 + 2.59337i −1.17475 + 0.164348i
\(250\) −3.46029 1.99780i −0.218848 0.126352i
\(251\) −21.1221 −1.33321 −0.666606 0.745410i \(-0.732254\pi\)
−0.666606 + 0.745410i \(0.732254\pi\)
\(252\) 5.40673 + 5.81097i 0.340592 + 0.366056i
\(253\) 0.585493 0.0368096
\(254\) 14.0125 + 8.09010i 0.879220 + 0.507618i
\(255\) −3.31364 + 0.463579i −0.207508 + 0.0290304i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −6.35658 + 11.0099i −0.396513 + 0.686780i −0.993293 0.115624i \(-0.963113\pi\)
0.596780 + 0.802405i \(0.296446\pi\)
\(258\) 0.124851 + 0.0505342i 0.00777286 + 0.00314612i
\(259\) −11.1131 + 17.1180i −0.690535 + 1.06366i
\(260\) 2.18926i 0.135772i
\(261\) 3.84129 + 13.4600i 0.237770 + 0.833152i
\(262\) −5.13407 + 2.96416i −0.317184 + 0.183126i
\(263\) −25.1549 + 14.5232i −1.55112 + 0.895540i −0.553069 + 0.833135i \(0.686544\pi\)
−0.998051 + 0.0624046i \(0.980123\pi\)
\(264\) 0.623842 + 0.799517i 0.0383948 + 0.0492069i
\(265\) 1.07629i 0.0661158i
\(266\) 2.78194 + 5.45792i 0.170571 + 0.334647i
\(267\) 0.0760025 0.187773i 0.00465128 0.0114915i
\(268\) 0.572437 0.991489i 0.0349671 0.0605649i
\(269\) 14.7781 + 25.5964i 0.901035 + 1.56064i 0.826153 + 0.563446i \(0.190525\pi\)
0.0748820 + 0.997192i \(0.476142\pi\)
\(270\) −1.24404 + 1.70551i −0.0757101 + 0.103794i
\(271\) −5.12993 2.96177i −0.311621 0.179914i 0.336031 0.941851i \(-0.390915\pi\)
−0.647652 + 0.761937i \(0.724249\pi\)
\(272\) 4.75493 0.288310
\(273\) −2.14031 24.6014i −0.129538 1.48894i
\(274\) −8.26778 −0.499475
\(275\) −2.45157 1.41541i −0.147835 0.0853527i
\(276\) −0.239977 1.71535i −0.0144449 0.103252i
\(277\) 1.39945 + 2.42391i 0.0840846 + 0.145639i 0.905001 0.425410i \(-0.139870\pi\)
−0.820916 + 0.571049i \(0.806537\pi\)
\(278\) 3.80940 6.59808i 0.228473 0.395727i
\(279\) 15.3527 15.8582i 0.919142 0.949408i
\(280\) −0.901553 0.585292i −0.0538781 0.0349779i
\(281\) 21.6031i 1.28873i 0.764717 + 0.644366i \(0.222879\pi\)
−0.764717 + 0.644366i \(0.777121\pi\)
\(282\) −13.9941 + 10.9192i −0.833337 + 0.650231i
\(283\) −24.2466 + 13.9988i −1.44131 + 0.832141i −0.997937 0.0641963i \(-0.979552\pi\)
−0.443373 + 0.896337i \(0.646218\pi\)
\(284\) −1.20461 + 0.695481i −0.0714803 + 0.0412692i
\(285\) −1.28453 + 1.00229i −0.0760892 + 0.0593704i
\(286\) 3.15507i 0.186563i
\(287\) −6.56290 0.343004i −0.387396 0.0202469i
\(288\) 2.08669 2.15540i 0.122959 0.127008i
\(289\) −2.80466 + 4.85781i −0.164980 + 0.285753i
\(290\) −0.947777 1.64160i −0.0556554 0.0963979i
\(291\) −3.15701 22.5662i −0.185067 1.32285i
\(292\) −7.13315 4.11833i −0.417436 0.241007i
\(293\) −3.94816 −0.230654 −0.115327 0.993328i \(-0.536792\pi\)
−0.115327 + 0.993328i \(0.536792\pi\)
\(294\) −10.7032 5.69570i −0.624225 0.332180i
\(295\) 4.47296 0.260426
\(296\) 6.68042 + 3.85694i 0.388292 + 0.224180i
\(297\) −1.79286 + 2.45791i −0.104032 + 0.142622i
\(298\) −9.42866 16.3309i −0.546188 0.946025i
\(299\) −2.69437 + 4.66678i −0.155819 + 0.269887i
\(300\) −3.14198 + 7.76261i −0.181402 + 0.448175i
\(301\) −0.205462 0.0107383i −0.0118426 0.000618944i
\(302\) 2.10350i 0.121043i
\(303\) 5.81475 + 7.45218i 0.334048 + 0.428117i
\(304\) 2.00521 1.15771i 0.115007 0.0663991i
\(305\) 0.0443891 0.0256281i 0.00254171 0.00146746i
\(306\) 3.91467 + 13.7171i 0.223787 + 0.784155i
\(307\) 3.35692i 0.191590i −0.995401 0.0957948i \(-0.969461\pi\)
0.995401 0.0957948i \(-0.0305393\pi\)
\(308\) −1.29928 0.843497i −0.0740333 0.0480627i
\(309\) 12.1269 + 4.90845i 0.689874 + 0.279232i
\(310\) −1.49454 + 2.58862i −0.0848842 + 0.147024i
\(311\) 14.7966 + 25.6284i 0.839037 + 1.45325i 0.890701 + 0.454590i \(0.150214\pi\)
−0.0516635 + 0.998665i \(0.516452\pi\)
\(312\) −9.24354 + 1.29317i −0.523313 + 0.0732114i
\(313\) −9.16888 5.29366i −0.518256 0.299215i 0.217965 0.975957i \(-0.430058\pi\)
−0.736221 + 0.676741i \(0.763391\pi\)
\(314\) 12.3849 0.698922
\(315\) 0.946226 3.08268i 0.0533138 0.173689i
\(316\) −9.45087 −0.531653
\(317\) −15.3152 8.84225i −0.860188 0.496630i 0.00388698 0.999992i \(-0.498763\pi\)
−0.864075 + 0.503362i \(0.832096\pi\)
\(318\) −4.54433 + 0.635751i −0.254833 + 0.0356512i
\(319\) −1.36590 2.36580i −0.0764755 0.132459i
\(320\) −0.203133 + 0.351837i −0.0113555 + 0.0196683i
\(321\) 16.4054 + 6.64023i 0.915663 + 0.370621i
\(322\) 1.20148 + 2.35721i 0.0669561 + 0.131362i
\(323\) 11.0096i 0.612593i
\(324\) 7.93588 + 4.24521i 0.440882 + 0.235845i
\(325\) 22.5636 13.0271i 1.25161 0.722615i
\(326\) 7.91431 4.56933i 0.438333 0.253072i
\(327\) 1.70505 + 2.18520i 0.0942895 + 0.120842i
\(328\) 2.48393i 0.137152i
\(329\) 14.7639 22.7415i 0.813960 1.25378i
\(330\) 0.154576 0.381899i 0.00850915 0.0210228i
\(331\) 1.24821 2.16196i 0.0686076 0.118832i −0.829681 0.558238i \(-0.811478\pi\)
0.898289 + 0.439406i \(0.144811\pi\)
\(332\) −5.40337 9.35891i −0.296549 0.513637i
\(333\) −5.62670 + 22.4472i −0.308341 + 1.23010i
\(334\) 20.8564 + 12.0415i 1.14121 + 0.658879i
\(335\) −0.465123 −0.0254124
\(336\) −1.93870 + 4.15228i −0.105764 + 0.226526i
\(337\) −18.4152 −1.00314 −0.501569 0.865118i \(-0.667244\pi\)
−0.501569 + 0.865118i \(0.667244\pi\)
\(338\) 13.8897 + 8.01923i 0.755501 + 0.436189i
\(339\) −3.66265 26.1805i −0.198928 1.42193i
\(340\) −0.965882 1.67296i −0.0523823 0.0907288i
\(341\) −2.15387 + 3.73061i −0.116639 + 0.202024i
\(342\) 4.99065 + 4.83155i 0.269863 + 0.261260i
\(343\) 18.2935 + 2.88934i 0.987756 + 0.156010i
\(344\) 0.0777633i 0.00419272i
\(345\) −0.554774 + 0.432876i −0.0298680 + 0.0233053i
\(346\) 0.556491 0.321290i 0.0299171 0.0172727i
\(347\) 20.0140 11.5551i 1.07441 0.620310i 0.145025 0.989428i \(-0.453674\pi\)
0.929382 + 0.369118i \(0.120340\pi\)
\(348\) −6.37135 + 4.97140i −0.341540 + 0.266495i
\(349\) 10.8767i 0.582216i −0.956690 0.291108i \(-0.905976\pi\)
0.956690 0.291108i \(-0.0940239\pi\)
\(350\) 0.667654 12.7746i 0.0356876 0.682833i
\(351\) −11.3407 25.6013i −0.605319 1.36650i
\(352\) −0.292747 + 0.507052i −0.0156034 + 0.0270260i
\(353\) 1.42070 + 2.46072i 0.0756162 + 0.130971i 0.901354 0.433083i \(-0.142574\pi\)
−0.825738 + 0.564054i \(0.809241\pi\)
\(354\) −2.64213 18.8858i −0.140428 1.00377i
\(355\) 0.489391 + 0.282550i 0.0259742 + 0.0149962i
\(356\) 0.116954 0.00619857
\(357\) −12.4895 17.8552i −0.661012 0.944999i
\(358\) −21.2635 −1.12381
\(359\) −3.64211 2.10277i −0.192223 0.110980i 0.400800 0.916166i \(-0.368732\pi\)
−0.593023 + 0.805186i \(0.702066\pi\)
\(360\) −1.18222 0.296340i −0.0623086 0.0156185i
\(361\) −6.81942 11.8116i −0.358917 0.621662i
\(362\) 6.85898 11.8801i 0.360500 0.624405i
\(363\) −6.92555 + 17.1104i −0.363497 + 0.898061i
\(364\) 12.7024 6.47448i 0.665786 0.339355i
\(365\) 3.34627i 0.175152i
\(366\) −0.134428 0.172283i −0.00702664 0.00900535i
\(367\) 23.8692 13.7809i 1.24596 0.719356i 0.275660 0.961255i \(-0.411104\pi\)
0.970301 + 0.241899i \(0.0777703\pi\)
\(368\) 0.866025 0.500000i 0.0451447 0.0260643i
\(369\) −7.16569 + 2.04499i −0.373031 + 0.106458i
\(370\) 3.13389i 0.162923i
\(371\) 6.24477 3.18300i 0.324212 0.165253i
\(372\) 11.8125 + 4.78122i 0.612452 + 0.247895i
\(373\) 7.64112 13.2348i 0.395642 0.685272i −0.597541 0.801838i \(-0.703855\pi\)
0.993183 + 0.116566i \(0.0371888\pi\)
\(374\) −1.39199 2.41099i −0.0719780 0.124670i
\(375\) 6.85384 0.958852i 0.353931 0.0495149i
\(376\) −8.87503 5.12400i −0.457695 0.264250i
\(377\) 25.1427 1.29492
\(378\) −13.5747 2.17427i −0.698207 0.111832i
\(379\) −20.3504 −1.04533 −0.522666 0.852537i \(-0.675063\pi\)
−0.522666 + 0.852537i \(0.675063\pi\)
\(380\) −0.814649 0.470338i −0.0417906 0.0241278i
\(381\) −27.7546 + 3.88287i −1.42191 + 0.198926i
\(382\) 7.47336 + 12.9442i 0.382370 + 0.662285i
\(383\) −5.03853 + 8.72699i −0.257457 + 0.445928i −0.965560 0.260181i \(-0.916218\pi\)
0.708103 + 0.706109i \(0.249551\pi\)
\(384\) 1.60552 + 0.649847i 0.0819314 + 0.0331624i
\(385\) −0.0328467 + 0.628476i −0.00167402 + 0.0320301i
\(386\) 1.63941i 0.0834440i
\(387\) −0.224333 + 0.0640215i −0.0114035 + 0.00325439i
\(388\) 11.3930 6.57773i 0.578390 0.333934i
\(389\) −28.2398 + 16.3043i −1.43182 + 0.826659i −0.997259 0.0739855i \(-0.976428\pi\)
−0.434556 + 0.900645i \(0.643095\pi\)
\(390\) 2.33265 + 2.98953i 0.118118 + 0.151381i
\(391\) 4.75493i 0.240467i
\(392\) 0.729704 6.96186i 0.0368556 0.351627i
\(393\) 3.85250 9.51804i 0.194333 0.480121i
\(394\) 10.5893 18.3412i 0.533481 0.924016i
\(395\) 1.91978 + 3.32516i 0.0965948 + 0.167307i
\(396\) −1.70377 0.427073i −0.0856176 0.0214612i
\(397\) 30.8171 + 17.7923i 1.54667 + 0.892967i 0.998393 + 0.0566673i \(0.0180474\pi\)
0.548272 + 0.836300i \(0.315286\pi\)
\(398\) −11.0552 −0.554148
\(399\) −9.61427 4.48889i −0.481316 0.224725i
\(400\) −4.83495 −0.241747
\(401\) −16.9434 9.78228i −0.846114 0.488504i 0.0132241 0.999913i \(-0.495791\pi\)
−0.859338 + 0.511409i \(0.829124\pi\)
\(402\) 0.274743 + 1.96385i 0.0137029 + 0.0979481i
\(403\) −19.8237 34.3356i −0.987488 1.71038i
\(404\) −2.72865 + 4.72616i −0.135755 + 0.235135i
\(405\) −0.118419 3.65447i −0.00588429 0.181592i
\(406\) 6.72183 10.3540i 0.333599 0.513858i
\(407\) 4.51643i 0.223871i
\(408\) −6.49306 + 5.06637i −0.321454 + 0.250823i
\(409\) 27.7344 16.0125i 1.37138 0.791765i 0.380276 0.924873i \(-0.375829\pi\)
0.991102 + 0.133108i \(0.0424958\pi\)
\(410\) 0.873937 0.504568i 0.0431607 0.0249188i
\(411\) 11.2900 8.80931i 0.556896 0.434531i
\(412\) 7.55324i 0.372121i
\(413\) 13.2283 + 25.9527i 0.650920 + 1.27705i
\(414\) 2.15540 + 2.08669i 0.105932 + 0.102555i
\(415\) −2.19521 + 3.80221i −0.107758 + 0.186643i
\(416\) −2.69437 4.66678i −0.132102 0.228808i
\(417\) 1.82834 + 13.0689i 0.0895340 + 0.639986i
\(418\) −1.17404 0.677830i −0.0574240 0.0331538i
\(419\) −23.7491 −1.16022 −0.580109 0.814539i \(-0.696990\pi\)
−0.580109 + 0.814539i \(0.696990\pi\)
\(420\) 1.85474 0.161362i 0.0905020 0.00787365i
\(421\) 28.2913 1.37883 0.689416 0.724365i \(-0.257867\pi\)
0.689416 + 0.724365i \(0.257867\pi\)
\(422\) −0.335692 0.193812i −0.0163412 0.00943461i
\(423\) 7.47514 29.8214i 0.363454 1.44997i
\(424\) −1.32461 2.29429i −0.0643288 0.111421i
\(425\) 11.4949 19.9098i 0.557585 0.965765i
\(426\) 0.903912 2.23322i 0.0437947 0.108200i
\(427\) 0.279973 + 0.181760i 0.0135488 + 0.00879596i
\(428\) 10.2181i 0.493912i
\(429\) 3.36172 + 4.30839i 0.162305 + 0.208011i
\(430\) 0.0273600 0.0157963i 0.00131942 0.000761765i
\(431\) −29.3468 + 16.9434i −1.41358 + 0.816133i −0.995724 0.0923784i \(-0.970553\pi\)
−0.417860 + 0.908511i \(0.637220\pi\)
\(432\) −0.552889 + 5.16665i −0.0266009 + 0.248581i
\(433\) 29.8369i 1.43387i −0.697139 0.716936i \(-0.745544\pi\)
0.697139 0.716936i \(-0.254456\pi\)
\(434\) −19.4395 1.01598i −0.933124 0.0487688i
\(435\) 3.04335 + 1.23182i 0.145918 + 0.0590612i
\(436\) −0.800119 + 1.38585i −0.0383187 + 0.0663700i
\(437\) 1.15771 + 2.00521i 0.0553807 + 0.0959222i
\(438\) 14.1287 1.97661i 0.675096 0.0944458i
\(439\) −8.60849 4.97012i −0.410861 0.237211i 0.280299 0.959913i \(-0.409567\pi\)
−0.691160 + 0.722702i \(0.742900\pi\)
\(440\) 0.237866 0.0113398
\(441\) 20.6845 3.62654i 0.984976 0.172692i
\(442\) 25.6230 1.21876
\(443\) −13.6991 7.90916i −0.650862 0.375775i 0.137924 0.990443i \(-0.455957\pi\)
−0.788786 + 0.614667i \(0.789290\pi\)
\(444\) −13.2320 + 1.85115i −0.627962 + 0.0878519i
\(445\) −0.0237573 0.0411488i −0.00112620 0.00195064i
\(446\) 5.70593 9.88296i 0.270184 0.467972i
\(447\) 30.2758 + 12.2544i 1.43200 + 0.579612i
\(448\) −2.64215 0.138089i −0.124830 0.00652410i
\(449\) 5.00300i 0.236106i −0.993007 0.118053i \(-0.962335\pi\)
0.993007 0.118053i \(-0.0376653\pi\)
\(450\) −3.98055 13.9480i −0.187645 0.657513i
\(451\) 1.25948 0.727162i 0.0593066 0.0342407i
\(452\) 13.2177 7.63126i 0.621710 0.358944i
\(453\) 2.24128 + 2.87243i 0.105304 + 0.134958i
\(454\) 0.142580i 0.00669160i
\(455\) −4.85823 3.15398i −0.227757 0.147861i
\(456\) −1.50467 + 3.71745i −0.0704625 + 0.174086i
\(457\) 10.8973 18.8747i 0.509756 0.882922i −0.490181 0.871621i \(-0.663069\pi\)
0.999936 0.0113016i \(-0.00359747\pi\)
\(458\) −9.16158 15.8683i −0.428093 0.741478i
\(459\) −19.9612 14.5603i −0.931710 0.679615i
\(460\) −0.351837 0.203133i −0.0164045 0.00947112i
\(461\) 3.52446 0.164150 0.0820752 0.996626i \(-0.473845\pi\)
0.0820752 + 0.996626i \(0.473845\pi\)
\(462\) 2.67297 0.232548i 0.124358 0.0108191i
\(463\) −24.8392 −1.15438 −0.577189 0.816611i \(-0.695850\pi\)
−0.577189 + 0.816611i \(0.695850\pi\)
\(464\) −4.04070 2.33290i −0.187585 0.108302i
\(465\) −0.717310 5.12731i −0.0332645 0.237773i
\(466\) −8.90725 15.4278i −0.412620 0.714679i
\(467\) 7.49542 12.9824i 0.346847 0.600756i −0.638841 0.769339i \(-0.720586\pi\)
0.985687 + 0.168583i \(0.0539191\pi\)
\(468\) 11.2446 11.6149i 0.519782 0.536898i
\(469\) −1.37555 2.69871i −0.0635169 0.124615i
\(470\) 4.16341i 0.192044i
\(471\) −16.9122 + 13.1961i −0.779272 + 0.608046i
\(472\) 9.53488 5.50497i 0.438879 0.253387i
\(473\) 0.0394300 0.0227649i 0.00181299 0.00104673i
\(474\) 12.9056 10.0699i 0.592773 0.462526i
\(475\) 11.1949i 0.513658i
\(476\) 6.85024 10.5518i 0.313980 0.483639i
\(477\) 5.52809 5.71012i 0.253114 0.261449i
\(478\) −9.81948 + 17.0078i −0.449133 + 0.777920i
\(479\) −10.3127 17.8622i −0.471200 0.816143i 0.528257 0.849085i \(-0.322846\pi\)
−0.999457 + 0.0329416i \(0.989512\pi\)
\(480\) −0.0974944 0.696886i −0.00444999 0.0318084i
\(481\) 35.9990 + 20.7841i 1.64141 + 0.947671i
\(482\) 16.7820 0.764399
\(483\) −4.15228 1.93870i −0.188935 0.0882137i
\(484\) −10.6572 −0.484418
\(485\) −4.62858 2.67231i −0.210173 0.121343i
\(486\) −15.3601 + 2.65865i −0.696747 + 0.120599i
\(487\) 0.537720 + 0.931359i 0.0243664 + 0.0422039i 0.877951 0.478750i \(-0.158910\pi\)
−0.853585 + 0.520953i \(0.825576\pi\)
\(488\) 0.0630820 0.109261i 0.00285559 0.00494602i
\(489\) −5.93873 + 14.6723i −0.268559 + 0.663505i
\(490\) −2.59766 + 1.15745i −0.117351 + 0.0522881i
\(491\) 18.8484i 0.850615i −0.905049 0.425308i \(-0.860166\pi\)
0.905049 0.425308i \(-0.139834\pi\)
\(492\) −2.64662 3.39192i −0.119319 0.152919i
\(493\) 19.2132 11.0928i 0.865320 0.499592i
\(494\) 10.8055 6.23859i 0.486165 0.280687i
\(495\) 0.195832 + 0.686201i 0.00880198 + 0.0308424i
\(496\) 7.35745i 0.330359i
\(497\) −0.192077 + 3.67512i −0.00861582 + 0.164852i
\(498\) 17.3505 + 7.02273i 0.777493 + 0.314696i
\(499\) 9.04070 15.6589i 0.404717 0.700991i −0.589571 0.807716i \(-0.700703\pi\)
0.994289 + 0.106726i \(0.0340367\pi\)
\(500\) 1.99780 + 3.46029i 0.0893444 + 0.154749i
\(501\) −41.3105 + 5.77934i −1.84562 + 0.258202i
\(502\) 18.2922 + 10.5610i 0.816423 + 0.471362i
\(503\) −19.1137 −0.852236 −0.426118 0.904668i \(-0.640119\pi\)
−0.426118 + 0.904668i \(0.640119\pi\)
\(504\) −1.77688 7.73581i −0.0791485 0.344580i
\(505\) 2.21711 0.0986603
\(506\) −0.507052 0.292747i −0.0225412 0.0130142i
\(507\) −27.5115 + 3.84886i −1.22183 + 0.170934i
\(508\) −8.09010 14.0125i −0.358940 0.621702i
\(509\) 16.0857 27.8612i 0.712985 1.23493i −0.250747 0.968053i \(-0.580676\pi\)
0.963732 0.266873i \(-0.0859904\pi\)
\(510\) 3.10149 + 1.25535i 0.137336 + 0.0555879i
\(511\) −19.4155 + 9.89620i −0.858892 + 0.437782i
\(512\) 1.00000i 0.0441942i
\(513\) −11.9630 1.28017i −0.528178 0.0565208i
\(514\) 11.0099 6.35658i 0.485627 0.280377i
\(515\) 2.65750 1.53431i 0.117104 0.0676098i
\(516\) −0.0828567 0.106189i −0.00364756 0.00467472i
\(517\) 6.00013i 0.263886i
\(518\) 18.1833 9.26811i 0.798926 0.407218i
\(519\) −0.417579 + 1.03168i −0.0183297 + 0.0452856i
\(520\) −1.09463 + 1.89595i −0.0480027 + 0.0831431i
\(521\) 10.7930 + 18.6941i 0.472852 + 0.819004i 0.999517 0.0310690i \(-0.00989116\pi\)
−0.526665 + 0.850073i \(0.676558\pi\)
\(522\) 3.40334 13.5773i 0.148960 0.594264i
\(523\) 35.9473 + 20.7542i 1.57187 + 0.907517i 0.995940 + 0.0900146i \(0.0286914\pi\)
0.575925 + 0.817502i \(0.304642\pi\)
\(524\) 5.92832 0.258980
\(525\) 12.6996 + 18.1557i 0.554258 + 0.792381i
\(526\) 29.0464 1.26648
\(527\) −30.2971 17.4921i −1.31976 0.761966i
\(528\) −0.140505 1.00432i −0.00611469 0.0437076i
\(529\) 0.500000 + 0.866025i 0.0217391 + 0.0376533i
\(530\) −0.538144 + 0.932093i −0.0233755 + 0.0404875i
\(531\) 23.7308 + 22.9743i 1.02983 + 0.996999i
\(532\) 0.319734 6.11767i 0.0138622 0.265235i
\(533\) 13.3852i 0.579779i
\(534\) −0.159706 + 0.124615i −0.00691118 + 0.00539261i
\(535\) 3.59512 2.07564i 0.155430 0.0897378i
\(536\) −0.991489 + 0.572437i −0.0428258 + 0.0247255i
\(537\) 29.0362 22.6562i 1.25300 0.977687i
\(538\) 29.5561i 1.27426i
\(539\) −3.74364 + 1.66806i −0.161250 + 0.0718486i
\(540\) 1.93013 0.854991i 0.0830595 0.0367930i
\(541\) −11.3328 + 19.6290i −0.487235 + 0.843916i −0.999892 0.0146776i \(-0.995328\pi\)
0.512657 + 0.858593i \(0.328661\pi\)
\(542\) 2.96177 + 5.12993i 0.127219 + 0.220349i
\(543\) 3.29199 + 23.5311i 0.141273 + 1.00981i
\(544\) −4.11789 2.37746i −0.176553 0.101933i
\(545\) 0.650122 0.0278482
\(546\) −10.4471 + 22.3756i −0.447095 + 0.957586i
\(547\) 33.9822 1.45297 0.726486 0.687181i \(-0.241152\pi\)
0.726486 + 0.687181i \(0.241152\pi\)
\(548\) 7.16011 + 4.13389i 0.305865 + 0.176591i
\(549\) 0.367134 + 0.0920270i 0.0156689 + 0.00392762i
\(550\) 1.41541 + 2.45157i 0.0603535 + 0.104535i
\(551\) 5.40163 9.35590i 0.230117 0.398575i
\(552\) −0.649847 + 1.60552i −0.0276593 + 0.0683355i
\(553\) −13.6155 + 20.9726i −0.578990 + 0.891847i
\(554\) 2.79889i 0.118914i
\(555\) 3.33916 + 4.27947i 0.141739 + 0.181653i
\(556\) −6.59808 + 3.80940i −0.279821 + 0.161555i
\(557\) 17.9322 10.3532i 0.759813 0.438678i −0.0694156 0.997588i \(-0.522113\pi\)
0.829229 + 0.558910i \(0.188780\pi\)
\(558\) −21.2249 + 6.05729i −0.898523 + 0.256426i
\(559\) 0.419046i 0.0177238i
\(560\) 0.488122 + 0.957654i 0.0206269 + 0.0404683i
\(561\) 4.46973 + 1.80916i 0.188712 + 0.0763827i
\(562\) 10.8015 18.7088i 0.455635 0.789184i
\(563\) −13.8909 24.0598i −0.585433 1.01400i −0.994821 0.101640i \(-0.967591\pi\)
0.409388 0.912360i \(-0.365742\pi\)
\(564\) 17.5789 2.45928i 0.740204 0.103554i
\(565\) −5.36991 3.10032i −0.225914 0.130431i
\(566\) 27.9976 1.17682
\(567\) 20.8535 11.4948i 0.875767 0.482735i
\(568\) 1.39096 0.0583634
\(569\) 19.7439 + 11.3992i 0.827709 + 0.477878i 0.853068 0.521800i \(-0.174739\pi\)
−0.0253587 + 0.999678i \(0.508073\pi\)
\(570\) 1.61358 0.225740i 0.0675856 0.00945522i
\(571\) −0.706116 1.22303i −0.0295501 0.0511822i 0.850872 0.525373i \(-0.176074\pi\)
−0.880422 + 0.474191i \(0.842741\pi\)
\(572\) −1.57753 + 2.73237i −0.0659600 + 0.114246i
\(573\) −23.9973 9.71308i −1.00250 0.405770i
\(574\) 5.51214 + 3.57850i 0.230072 + 0.149364i
\(575\) 4.83495i 0.201631i
\(576\) −2.88482 + 0.823286i −0.120201 + 0.0343036i
\(577\) 6.83950 3.94879i 0.284732 0.164390i −0.350832 0.936439i \(-0.614101\pi\)
0.635564 + 0.772048i \(0.280768\pi\)
\(578\) 4.85781 2.80466i 0.202058 0.116658i
\(579\) −1.74679 2.23869i −0.0725943 0.0930369i
\(580\) 1.89555i 0.0787086i
\(581\) −28.5530 1.49229i −1.18458 0.0619108i
\(582\) −8.54904 + 21.1214i −0.354369 + 0.875510i
\(583\) −0.775550 + 1.34329i −0.0321200 + 0.0556335i
\(584\) 4.11833 + 7.13315i 0.170418 + 0.295172i
\(585\) −6.37068 1.59690i −0.263395 0.0660236i
\(586\) 3.41920 + 1.97408i 0.141246 + 0.0815484i
\(587\) −11.4539 −0.472752 −0.236376 0.971662i \(-0.575960\pi\)
−0.236376 + 0.971662i \(0.575960\pi\)
\(588\) 6.42141 + 10.2842i 0.264815 + 0.424115i
\(589\) −17.0356 −0.701939
\(590\) −3.87370 2.23648i −0.159478 0.0920744i
\(591\) 5.08237 + 36.3286i 0.209061 + 1.49436i
\(592\) −3.85694 6.68042i −0.158519 0.274564i
\(593\) 6.94997 12.0377i 0.285401 0.494329i −0.687305 0.726369i \(-0.741207\pi\)
0.972706 + 0.232039i \(0.0745398\pi\)
\(594\) 2.78162 1.23218i 0.114131 0.0505568i
\(595\) −5.10400 0.266756i −0.209244 0.0109359i
\(596\) 18.8573i 0.772426i
\(597\) 15.0964 11.7793i 0.617855 0.482096i
\(598\) 4.66678 2.69437i 0.190839 0.110181i
\(599\) −27.3830 + 15.8096i −1.11884 + 0.645963i −0.941105 0.338115i \(-0.890211\pi\)
−0.177736 + 0.984078i \(0.556877\pi\)
\(600\) 6.60234 5.15163i 0.269539 0.210314i
\(601\) 45.8527i 1.87037i −0.354156 0.935186i \(-0.615232\pi\)
0.354156 0.935186i \(-0.384768\pi\)
\(602\) 0.172566 + 0.112031i 0.00703327 + 0.00456603i
\(603\) −2.46766 2.38899i −0.100491 0.0972873i
\(604\) −1.05175 + 1.82169i −0.0427951 + 0.0741233i
\(605\) 2.16483 + 3.74959i 0.0880128 + 0.152443i
\(606\) −1.30963 9.36115i −0.0531999 0.380271i
\(607\) 21.2390 + 12.2624i 0.862065 + 0.497714i 0.864703 0.502283i \(-0.167506\pi\)
−0.00263806 + 0.999997i \(0.500840\pi\)
\(608\) −2.31542 −0.0939026
\(609\) 1.85317 + 21.3009i 0.0750944 + 0.863156i
\(610\) −0.0512561 −0.00207530
\(611\) −47.8252 27.6119i −1.93480 1.11706i
\(612\) 3.46836 13.8367i 0.140200 0.559316i
\(613\) 2.23926 + 3.87851i 0.0904428 + 0.156651i 0.907698 0.419625i \(-0.137838\pi\)
−0.817255 + 0.576277i \(0.804505\pi\)
\(614\) −1.67846 + 2.90718i −0.0677372 + 0.117324i
\(615\) −0.655784 + 1.62019i −0.0264437 + 0.0653323i
\(616\) 0.703461 + 1.38013i 0.0283432 + 0.0556070i
\(617\) 13.1049i 0.527583i −0.964580 0.263792i \(-0.915027\pi\)
0.964580 0.263792i \(-0.0849731\pi\)
\(618\) −8.04796 10.3143i −0.323737 0.414901i
\(619\) −10.9882 + 6.34407i −0.441655 + 0.254990i −0.704299 0.709903i \(-0.748739\pi\)
0.262645 + 0.964893i \(0.415405\pi\)
\(620\) 2.58862 1.49454i 0.103962 0.0600222i
\(621\) −5.16665 0.552889i −0.207331 0.0221867i
\(622\) 29.5932i 1.18658i
\(623\) 0.168492 0.259536i 0.00675048 0.0103981i
\(624\) 8.65173 + 3.50185i 0.346346 + 0.140186i
\(625\) −11.2757 + 19.5301i −0.451029 + 0.781206i
\(626\) 5.29366 + 9.16888i 0.211577 + 0.366462i
\(627\) 2.32543 0.325327i 0.0928686 0.0129923i
\(628\) −10.7257 6.19247i −0.428001 0.247106i
\(629\) 36.6790 1.46249
\(630\) −2.36080 + 2.19657i −0.0940564 + 0.0875134i
\(631\) −7.97881 −0.317631 −0.158816 0.987308i \(-0.550768\pi\)
−0.158816 + 0.987308i \(0.550768\pi\)
\(632\) 8.18470 + 4.72544i 0.325570 + 0.187968i
\(633\) 0.664908 0.0930207i 0.0264277 0.00369724i
\(634\) 8.84225 + 15.3152i 0.351170 + 0.608245i
\(635\) −3.28673 + 5.69278i −0.130430 + 0.225911i
\(636\) 4.25338 + 1.72159i 0.168657 + 0.0682654i
\(637\) 3.93218 37.5156i 0.155799 1.48642i
\(638\) 2.73179i 0.108153i
\(639\) 1.14516 + 4.01268i 0.0453018 + 0.158739i
\(640\) 0.351837 0.203133i 0.0139076 0.00802953i
\(641\) −34.0659 + 19.6680i −1.34552 + 0.776838i −0.987612 0.156918i \(-0.949844\pi\)
−0.357911 + 0.933756i \(0.616511\pi\)
\(642\) −10.8874 13.9533i −0.429692 0.550694i
\(643\) 40.7213i 1.60589i −0.596051 0.802946i \(-0.703265\pi\)
0.596051 0.802946i \(-0.296735\pi\)
\(644\) 0.138089 2.64215i 0.00544148 0.104115i
\(645\) −0.0205303 + 0.0507226i −0.000808381 + 0.00199720i
\(646\) 5.50482 9.53462i 0.216584 0.375135i
\(647\) −0.873285 1.51257i −0.0343324 0.0594654i 0.848349 0.529438i \(-0.177597\pi\)
−0.882681 + 0.469973i \(0.844264\pi\)
\(648\) −4.75007 7.64440i −0.186600 0.300300i
\(649\) −5.58261 3.22312i −0.219137 0.126519i
\(650\) −26.0543 −1.02193
\(651\) 27.6280 19.3253i 1.08283 0.757420i
\(652\) −9.13866 −0.357898
\(653\) 39.3930 + 22.7436i 1.54157 + 0.890025i 0.998740 + 0.0501806i \(0.0159797\pi\)
0.542828 + 0.839844i \(0.317354\pi\)
\(654\) −0.384020 2.74496i −0.0150164 0.107336i
\(655\) −1.20424 2.08580i −0.0470534 0.0814989i
\(656\) 1.24196 2.15115i 0.0484906 0.0839881i
\(657\) −17.1873 + 17.7533i −0.670541 + 0.692621i
\(658\) −24.1567 + 12.3128i −0.941725 + 0.480003i
\(659\) 0.910507i 0.0354683i −0.999843 0.0177342i \(-0.994355\pi\)
0.999843 0.0177342i \(-0.00564526\pi\)
\(660\) −0.324816 + 0.253446i −0.0126435 + 0.00986537i
\(661\) −24.0696 + 13.8966i −0.936198 + 0.540514i −0.888766 0.458361i \(-0.848437\pi\)
−0.0474313 + 0.998875i \(0.515104\pi\)
\(662\) −2.16196 + 1.24821i −0.0840268 + 0.0485129i
\(663\) −34.9894 + 27.3013i −1.35888 + 1.06030i
\(664\) 10.8067i 0.419383i
\(665\) −2.21737 + 1.13021i −0.0859859 + 0.0438275i
\(666\) 16.0965 16.6265i 0.623725 0.644264i
\(667\) 2.33290 4.04070i 0.0903301 0.156456i
\(668\) −12.0415 20.8564i −0.465898 0.806959i
\(669\) 2.73858 + 19.5753i 0.105880 + 0.756824i
\(670\) 0.402808 + 0.232562i 0.0155618 + 0.00898463i
\(671\) −0.0738681 −0.00285165
\(672\) 3.75510 2.62664i 0.144856 0.101325i
\(673\) −27.8552 −1.07374 −0.536870 0.843665i \(-0.680393\pi\)
−0.536870 + 0.843665i \(0.680393\pi\)
\(674\) 15.9480 + 9.20759i 0.614294 + 0.354663i
\(675\) 20.2972 + 14.8053i 0.781238 + 0.569856i
\(676\) −8.01923 13.8897i −0.308432 0.534220i
\(677\) 0.0979180 0.169599i 0.00376329 0.00651822i −0.864138 0.503256i \(-0.832135\pi\)
0.867901 + 0.496737i \(0.165469\pi\)
\(678\) −9.91830 + 24.5043i −0.380910 + 0.941082i
\(679\) 1.81663 34.7587i 0.0697158 1.33391i
\(680\) 1.93176i 0.0740798i
\(681\) −0.151918 0.194699i −0.00582153 0.00746088i
\(682\) 3.73061 2.15387i 0.142852 0.0824759i
\(683\) 21.4492 12.3837i 0.820730 0.473849i −0.0299381 0.999552i \(-0.509531\pi\)
0.850668 + 0.525703i \(0.176198\pi\)
\(684\) −1.90625 6.67957i −0.0728874 0.255400i
\(685\) 3.35892i 0.128338i
\(686\) −14.3980 11.6490i −0.549716 0.444760i
\(687\) 29.4182 + 11.9072i 1.12238 + 0.454290i
\(688\) 0.0388816 0.0673450i 0.00148235 0.00256750i
\(689\) −7.13797 12.3633i −0.271935 0.471005i
\(690\) 0.696886 0.0974944i 0.0265300 0.00371155i
\(691\) −27.5920 15.9302i −1.04965 0.606015i −0.127097 0.991890i \(-0.540566\pi\)
−0.922551 + 0.385876i \(0.873899\pi\)
\(692\) −0.642580 −0.0244272
\(693\) −3.40228 + 3.16560i −0.129242 + 0.120251i
\(694\) −23.1102 −0.877250
\(695\) 2.68057 + 1.54763i 0.101680 + 0.0587050i
\(696\) 8.00345 1.11968i 0.303370 0.0424415i
\(697\) 5.90545 + 10.2285i 0.223685 + 0.387433i
\(698\) −5.43835 + 9.41949i −0.205844 + 0.356533i
\(699\) 28.6016 + 11.5767i 1.08181 + 0.437871i
\(700\) −6.96552 + 10.7293i −0.263272 + 0.405531i
\(701\) 39.0106i 1.47341i 0.676214 + 0.736705i \(0.263619\pi\)
−0.676214 + 0.736705i \(0.736381\pi\)
\(702\) −2.97937 + 27.8417i −0.112449 + 1.05082i
\(703\) 15.4680 8.93044i 0.583386 0.336818i
\(704\) 0.507052 0.292747i 0.0191102 0.0110333i
\(705\) −4.43611 5.68533i −0.167074 0.214122i
\(706\) 2.84140i 0.106937i
\(707\) 6.55686 + 12.8640i 0.246596 + 0.483800i
\(708\) −7.15477 + 17.6767i −0.268893 + 0.664331i
\(709\) −3.75196 + 6.49859i −0.140908 + 0.244060i −0.927839 0.372982i \(-0.878335\pi\)
0.786931 + 0.617041i \(0.211669\pi\)
\(710\) −0.282550 0.489391i −0.0106039 0.0183665i
\(711\) −6.89370 + 27.5018i −0.258534 + 1.03140i
\(712\) −0.101285 0.0584772i −0.00379583 0.00219153i
\(713\) −7.35745 −0.275539
\(714\) 1.88857 + 21.7078i 0.0706781 + 0.812394i
\(715\) 1.28180 0.0479365
\(716\) 18.4147 + 10.6317i 0.688189 + 0.397326i
\(717\) −4.71289 33.6876i −0.176006 1.25809i
\(718\) 2.10277 + 3.64211i 0.0784748 + 0.135922i
\(719\) −20.0402 + 34.7106i −0.747372 + 1.29449i 0.201706 + 0.979446i \(0.435351\pi\)
−0.949078 + 0.315041i \(0.897982\pi\)
\(720\) 0.875665 + 0.847749i 0.0326341 + 0.0315938i
\(721\) 16.7615 + 10.8817i 0.624232 + 0.405254i
\(722\) 13.6388i 0.507585i
\(723\) −22.9166 + 17.8812i −0.852276 + 0.665009i
\(724\) −11.8801 + 6.85898i −0.441521 + 0.254912i
\(725\) −19.5366 + 11.2794i −0.725570 + 0.418908i
\(726\) 14.5529 11.3552i 0.540108 0.421432i
\(727\) 22.0145i 0.816474i −0.912876 0.408237i \(-0.866144\pi\)
0.912876 0.408237i \(-0.133856\pi\)
\(728\) −14.2378 0.744126i −0.527689 0.0275792i
\(729\) 18.1421 19.9966i 0.671928 0.740616i
\(730\) 1.67314 2.89795i 0.0619255 0.107258i
\(731\) 0.184879 + 0.320220i 0.00683801 + 0.0118438i
\(732\) 0.0302764 + 0.216415i 0.00111905 + 0.00799892i
\(733\) −39.0061 22.5202i −1.44072 0.831801i −0.442824 0.896609i \(-0.646023\pi\)
−0.997898 + 0.0648077i \(0.979357\pi\)
\(734\) −27.5618 −1.01732
\(735\) 2.31397 4.34835i 0.0853520 0.160391i
\(736\) −1.00000 −0.0368605
\(737\) 0.580510 + 0.335158i 0.0213834 + 0.0123457i
\(738\) 7.22817 + 1.81184i 0.266072 + 0.0666947i
\(739\) 8.69977 + 15.0684i 0.320026 + 0.554302i 0.980493 0.196554i \(-0.0629750\pi\)
−0.660467 + 0.750855i \(0.729642\pi\)
\(740\) −1.56694 + 2.71403i −0.0576020 + 0.0997697i
\(741\) −8.10825 + 20.0324i −0.297864 + 0.735907i
\(742\) −6.99963 0.365829i −0.256964 0.0134300i
\(743\) 0.441530i 0.0161982i −0.999967 0.00809908i \(-0.997422\pi\)
0.999967 0.00809908i \(-0.00257805\pi\)
\(744\) −7.83936 10.0469i −0.287405 0.368338i
\(745\) 6.63470 3.83054i 0.243076 0.140340i
\(746\) −13.2348 + 7.64112i −0.484561 + 0.279761i
\(747\) −31.1755 + 8.89705i −1.14065 + 0.325526i
\(748\) 2.78398i 0.101792i
\(749\) 22.6753 + 14.7209i 0.828537 + 0.537889i
\(750\) −6.41503 2.59653i −0.234244 0.0948119i
\(751\) −20.5835 + 35.6516i −0.751101 + 1.30095i 0.196188 + 0.980566i \(0.437144\pi\)
−0.947289 + 0.320379i \(0.896190\pi\)
\(752\) 5.12400 + 8.87503i 0.186853 + 0.323639i
\(753\) −36.2316 + 5.06881i −1.32035 + 0.184718i
\(754\) −21.7742 12.5714i −0.792971 0.457822i
\(755\) 0.854581 0.0311014
\(756\) 10.6689 + 8.67033i 0.388024 + 0.315337i
\(757\) 25.8843 0.940779 0.470390 0.882459i \(-0.344113\pi\)
0.470390 + 0.882459i \(0.344113\pi\)
\(758\) 17.6240 + 10.1752i 0.640133 + 0.369581i
\(759\) 1.00432 0.140505i 0.0364546 0.00510000i
\(760\) 0.470338 + 0.814649i 0.0170609 + 0.0295504i
\(761\) 8.88046 15.3814i 0.321916 0.557575i −0.658967 0.752172i \(-0.729006\pi\)
0.980883 + 0.194596i \(0.0623397\pi\)
\(762\) 25.9776 + 10.5146i 0.941071 + 0.380906i
\(763\) 1.92266 + 3.77209i 0.0696049 + 0.136559i
\(764\) 14.9467i 0.540753i
\(765\) −5.57280 + 1.59039i −0.201485 + 0.0575009i
\(766\) 8.72699 5.03853i 0.315319 0.182049i
\(767\) 51.3810 29.6648i 1.85526 1.07113i
\(768\) −1.06550 1.36554i −0.0384479 0.0492748i
\(769\) 36.1276i 1.30279i 0.758737 + 0.651397i \(0.225817\pi\)
−0.758737 + 0.651397i \(0.774183\pi\)
\(770\)