Properties

Label 546.2.bn.e.101.5
Level $546$
Weight $2$
Character 546.101
Analytic conductor $4.360$
Analytic rank $0$
Dimension $34$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bn (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(34\)
Relative dimension: \(17\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 101.5
Character \(\chi\) \(=\) 546.101
Dual form 546.2.bn.e.173.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 + 0.866025i) q^{2} +(-1.17271 + 1.27466i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(0.870413 - 0.502533i) q^{5} +(-0.517534 - 1.65292i) q^{6} +(1.33597 + 2.28368i) q^{7} +1.00000 q^{8} +(-0.249516 - 2.98961i) q^{9} +O(q^{10})\) \(q+(-0.500000 + 0.866025i) q^{2} +(-1.17271 + 1.27466i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(0.870413 - 0.502533i) q^{5} +(-0.517534 - 1.65292i) q^{6} +(1.33597 + 2.28368i) q^{7} +1.00000 q^{8} +(-0.249516 - 2.98961i) q^{9} +1.00507i q^{10} +0.620619 q^{11} +(1.69024 + 0.378264i) q^{12} +(1.14202 + 3.41991i) q^{13} +(-2.64571 + 0.0151415i) q^{14} +(-0.380181 + 1.69880i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(0.171457 + 0.296972i) q^{17} +(2.71383 + 1.27872i) q^{18} +4.33817 q^{19} +(-0.870413 - 0.502533i) q^{20} +(-4.47761 - 0.975184i) q^{21} +(-0.310310 + 0.537472i) q^{22} +(2.44412 + 1.41111i) q^{23} +(-1.17271 + 1.27466i) q^{24} +(-1.99492 + 3.45530i) q^{25} +(-3.53274 - 0.720933i) q^{26} +(4.10334 + 3.18788i) q^{27} +(1.30974 - 2.29882i) q^{28} +(-8.23191 + 4.75270i) q^{29} +(-1.28112 - 1.17865i) q^{30} +(1.25167 - 2.16796i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(-0.727805 + 0.791078i) q^{33} -0.342914 q^{34} +(2.31047 + 1.31638i) q^{35} +(-2.46432 + 1.71089i) q^{36} +(-3.76637 - 2.17451i) q^{37} +(-2.16909 + 3.75697i) q^{38} +(-5.69848 - 2.55486i) q^{39} +(0.870413 - 0.502533i) q^{40} +(-7.47421 + 4.31523i) q^{41} +(3.08334 - 3.39013i) q^{42} +(-0.602811 + 1.04410i) q^{43} +(-0.310310 - 0.537472i) q^{44} +(-1.71956 - 2.47680i) q^{45} +(-2.44412 + 1.41111i) q^{46} +(0.0442417 - 0.0255429i) q^{47} +(-0.517534 - 1.65292i) q^{48} +(-3.43038 + 6.10184i) q^{49} +(-1.99492 - 3.45530i) q^{50} +(-0.579607 - 0.129712i) q^{51} +(2.39072 - 2.69898i) q^{52} +(4.15182 + 2.39705i) q^{53} +(-4.81246 + 1.95965i) q^{54} +(0.540195 - 0.311882i) q^{55} +(1.33597 + 2.28368i) q^{56} +(-5.08741 + 5.52970i) q^{57} -9.50539i q^{58} +(2.67570 - 1.54481i) q^{59} +(1.66130 - 0.520156i) q^{60} -6.68221i q^{61} +(1.25167 + 2.16796i) q^{62} +(6.49396 - 4.56383i) q^{63} +1.00000 q^{64} +(2.71265 + 2.40283i) q^{65} +(-0.321192 - 1.02584i) q^{66} +5.48907i q^{67} +(0.171457 - 0.296972i) q^{68} +(-4.66492 + 1.46060i) q^{69} +(-2.29525 + 1.34273i) q^{70} +(-0.621982 + 1.07730i) q^{71} +(-0.249516 - 2.98961i) q^{72} +(4.46154 - 7.72761i) q^{73} +(3.76637 - 2.17451i) q^{74} +(-2.06488 - 6.59491i) q^{75} +(-2.16909 - 3.75697i) q^{76} +(0.829127 + 1.41730i) q^{77} +(5.06181 - 3.65760i) q^{78} +(0.458065 + 0.793391i) q^{79} +1.00507i q^{80} +(-8.87548 + 1.49191i) q^{81} -8.63047i q^{82} +13.2261i q^{83} +(1.39427 + 4.36532i) q^{84} +(0.298476 + 0.172325i) q^{85} +(-0.602811 - 1.04410i) q^{86} +(3.59555 - 16.0664i) q^{87} +0.620619 q^{88} +(3.11782 + 1.80007i) q^{89} +(3.00475 - 0.250780i) q^{90} +(-6.28427 + 7.17690i) q^{91} -2.82222i q^{92} +(1.29557 + 4.13784i) q^{93} +0.0510859i q^{94} +(3.77600 - 2.18008i) q^{95} +(1.69024 + 0.378264i) q^{96} +(5.10398 - 8.84035i) q^{97} +(-3.56916 - 6.02172i) q^{98} +(-0.154854 - 1.85541i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q - 17q^{2} + 3q^{3} - 17q^{4} + 9q^{5} - 6q^{6} + 5q^{7} + 34q^{8} + 7q^{9} + O(q^{10}) \) \( 34q - 17q^{2} + 3q^{3} - 17q^{4} + 9q^{5} - 6q^{6} + 5q^{7} + 34q^{8} + 7q^{9} - 18q^{11} + 3q^{12} - 8q^{13} - 4q^{14} - 17q^{15} - 17q^{16} + 6q^{17} - 11q^{18} - 10q^{19} - 9q^{20} - 4q^{21} + 9q^{22} + 6q^{23} + 3q^{24} + 16q^{25} + 13q^{26} + 18q^{27} - q^{28} + 27q^{29} + 13q^{30} + q^{31} - 17q^{32} + 21q^{33} - 12q^{34} - 3q^{35} + 4q^{36} + 6q^{37} + 5q^{38} + 20q^{39} + 9q^{40} + 3q^{41} + 20q^{42} - 3q^{43} + 9q^{44} - 6q^{46} - 27q^{47} - 6q^{48} - 5q^{49} + 16q^{50} + 24q^{51} - 5q^{52} + 21q^{53} - 18q^{54} + 57q^{55} + 5q^{56} - 17q^{57} - 6q^{59} + 4q^{60} + q^{62} - 21q^{63} + 34q^{64} + 33q^{65} - 21q^{66} + 6q^{68} - 30q^{69} + 3q^{70} - 15q^{71} + 7q^{72} + 19q^{73} - 6q^{74} - 63q^{75} + 5q^{76} - 9q^{77} - 10q^{78} - 9q^{79} - 5q^{81} - 16q^{84} - 42q^{85} - 3q^{86} - 75q^{87} - 18q^{88} - 18q^{89} - 9q^{90} - 27q^{91} + 25q^{93} - 3q^{95} + 3q^{96} - 19q^{97} + 7q^{98} - 27q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 + 0.866025i −0.353553 + 0.612372i
\(3\) −1.17271 + 1.27466i −0.677063 + 0.735925i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) 0.870413 0.502533i 0.389260 0.224740i −0.292579 0.956241i \(-0.594514\pi\)
0.681840 + 0.731502i \(0.261180\pi\)
\(6\) −0.517534 1.65292i −0.211282 0.674803i
\(7\) 1.33597 + 2.28368i 0.504948 + 0.863150i
\(8\) 1.00000 0.353553
\(9\) −0.249516 2.98961i −0.0831719 0.996535i
\(10\) 1.00507i 0.317830i
\(11\) 0.620619 0.187124 0.0935619 0.995613i \(-0.470175\pi\)
0.0935619 + 0.995613i \(0.470175\pi\)
\(12\) 1.69024 + 0.378264i 0.487931 + 0.109195i
\(13\) 1.14202 + 3.41991i 0.316741 + 0.948512i
\(14\) −2.64571 + 0.0151415i −0.707095 + 0.00404675i
\(15\) −0.380181 + 1.69880i −0.0981622 + 0.438629i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 0.171457 + 0.296972i 0.0415844 + 0.0720263i 0.886068 0.463554i \(-0.153426\pi\)
−0.844484 + 0.535581i \(0.820093\pi\)
\(18\) 2.71383 + 1.27872i 0.639656 + 0.301396i
\(19\) 4.33817 0.995246 0.497623 0.867394i \(-0.334206\pi\)
0.497623 + 0.867394i \(0.334206\pi\)
\(20\) −0.870413 0.502533i −0.194630 0.112370i
\(21\) −4.47761 0.975184i −0.977095 0.212803i
\(22\) −0.310310 + 0.537472i −0.0661582 + 0.114589i
\(23\) 2.44412 + 1.41111i 0.509633 + 0.294237i 0.732683 0.680570i \(-0.238268\pi\)
−0.223050 + 0.974807i \(0.571601\pi\)
\(24\) −1.17271 + 1.27466i −0.239378 + 0.260189i
\(25\) −1.99492 + 3.45530i −0.398984 + 0.691061i
\(26\) −3.53274 0.720933i −0.692827 0.141387i
\(27\) 4.10334 + 3.18788i 0.789688 + 0.613509i
\(28\) 1.30974 2.29882i 0.247518 0.434436i
\(29\) −8.23191 + 4.75270i −1.52863 + 0.882553i −0.529208 + 0.848492i \(0.677511\pi\)
−0.999420 + 0.0340609i \(0.989156\pi\)
\(30\) −1.28112 1.17865i −0.233899 0.215191i
\(31\) 1.25167 2.16796i 0.224807 0.389377i −0.731454 0.681890i \(-0.761158\pi\)
0.956262 + 0.292513i \(0.0944915\pi\)
\(32\) −0.500000 0.866025i −0.0883883 0.153093i
\(33\) −0.727805 + 0.791078i −0.126695 + 0.137709i
\(34\) −0.342914 −0.0588092
\(35\) 2.31047 + 1.31638i 0.390540 + 0.222508i
\(36\) −2.46432 + 1.71089i −0.410719 + 0.285148i
\(37\) −3.76637 2.17451i −0.619187 0.357488i 0.157366 0.987540i \(-0.449700\pi\)
−0.776552 + 0.630053i \(0.783033\pi\)
\(38\) −2.16909 + 3.75697i −0.351872 + 0.609461i
\(39\) −5.69848 2.55486i −0.912487 0.409105i
\(40\) 0.870413 0.502533i 0.137624 0.0794574i
\(41\) −7.47421 + 4.31523i −1.16727 + 0.673926i −0.953037 0.302855i \(-0.902060\pi\)
−0.214238 + 0.976781i \(0.568727\pi\)
\(42\) 3.08334 3.39013i 0.475770 0.523109i
\(43\) −0.602811 + 1.04410i −0.0919278 + 0.159224i −0.908322 0.418271i \(-0.862636\pi\)
0.816394 + 0.577495i \(0.195970\pi\)
\(44\) −0.310310 0.537472i −0.0467809 0.0810270i
\(45\) −1.71956 2.47680i −0.256336 0.369220i
\(46\) −2.44412 + 1.41111i −0.360365 + 0.208057i
\(47\) 0.0442417 0.0255429i 0.00645331 0.00372582i −0.496770 0.867882i \(-0.665481\pi\)
0.503223 + 0.864156i \(0.332147\pi\)
\(48\) −0.517534 1.65292i −0.0746996 0.238579i
\(49\) −3.43038 + 6.10184i −0.490055 + 0.871692i
\(50\) −1.99492 3.45530i −0.282124 0.488654i
\(51\) −0.579607 0.129712i −0.0811612 0.0181633i
\(52\) 2.39072 2.69898i 0.331533 0.374281i
\(53\) 4.15182 + 2.39705i 0.570296 + 0.329260i 0.757267 0.653105i \(-0.226534\pi\)
−0.186972 + 0.982365i \(0.559867\pi\)
\(54\) −4.81246 + 1.95965i −0.654893 + 0.266675i
\(55\) 0.540195 0.311882i 0.0728399 0.0420541i
\(56\) 1.33597 + 2.28368i 0.178526 + 0.305170i
\(57\) −5.08741 + 5.52970i −0.673844 + 0.732426i
\(58\) 9.50539i 1.24812i
\(59\) 2.67570 1.54481i 0.348346 0.201118i −0.315611 0.948889i \(-0.602209\pi\)
0.663956 + 0.747771i \(0.268876\pi\)
\(60\) 1.66130 0.520156i 0.214473 0.0671519i
\(61\) 6.68221i 0.855570i −0.903881 0.427785i \(-0.859294\pi\)
0.903881 0.427785i \(-0.140706\pi\)
\(62\) 1.25167 + 2.16796i 0.158963 + 0.275331i
\(63\) 6.49396 4.56383i 0.818162 0.574988i
\(64\) 1.00000 0.125000
\(65\) 2.71265 + 2.40283i 0.336463 + 0.298034i
\(66\) −0.321192 1.02584i −0.0395360 0.126272i
\(67\) 5.48907i 0.670597i 0.942112 + 0.335298i \(0.108837\pi\)
−0.942112 + 0.335298i \(0.891163\pi\)
\(68\) 0.171457 0.296972i 0.0207922 0.0360131i
\(69\) −4.66492 + 1.46060i −0.561590 + 0.175835i
\(70\) −2.29525 + 1.34273i −0.274335 + 0.160488i
\(71\) −0.621982 + 1.07730i −0.0738157 + 0.127853i −0.900571 0.434710i \(-0.856851\pi\)
0.826755 + 0.562562i \(0.190184\pi\)
\(72\) −0.249516 2.98961i −0.0294057 0.352328i
\(73\) 4.46154 7.72761i 0.522183 0.904448i −0.477484 0.878641i \(-0.658451\pi\)
0.999667 0.0258074i \(-0.00821566\pi\)
\(74\) 3.76637 2.17451i 0.437831 0.252782i
\(75\) −2.06488 6.59491i −0.238432 0.761514i
\(76\) −2.16909 3.75697i −0.248811 0.430954i
\(77\) 0.829127 + 1.41730i 0.0944878 + 0.161516i
\(78\) 5.06181 3.65760i 0.573138 0.414142i
\(79\) 0.458065 + 0.793391i 0.0515363 + 0.0892635i 0.890643 0.454704i \(-0.150255\pi\)
−0.839106 + 0.543967i \(0.816922\pi\)
\(80\) 1.00507i 0.112370i
\(81\) −8.87548 + 1.49191i −0.986165 + 0.165767i
\(82\) 8.63047i 0.953076i
\(83\) 13.2261i 1.45176i 0.687822 + 0.725879i \(0.258567\pi\)
−0.687822 + 0.725879i \(0.741433\pi\)
\(84\) 1.39427 + 4.36532i 0.152128 + 0.476295i
\(85\) 0.298476 + 0.172325i 0.0323743 + 0.0186913i
\(86\) −0.602811 1.04410i −0.0650028 0.112588i
\(87\) 3.59555 16.0664i 0.385483 1.72250i
\(88\) 0.620619 0.0661582
\(89\) 3.11782 + 1.80007i 0.330488 + 0.190807i 0.656058 0.754711i \(-0.272223\pi\)
−0.325570 + 0.945518i \(0.605556\pi\)
\(90\) 3.00475 0.250780i 0.316729 0.0264345i
\(91\) −6.28427 + 7.17690i −0.658771 + 0.752344i
\(92\) 2.82222i 0.294237i
\(93\) 1.29557 + 4.13784i 0.134344 + 0.429074i
\(94\) 0.0510859i 0.00526910i
\(95\) 3.77600 2.18008i 0.387410 0.223671i
\(96\) 1.69024 + 0.378264i 0.172510 + 0.0386064i
\(97\) 5.10398 8.84035i 0.518231 0.897602i −0.481545 0.876421i \(-0.659924\pi\)
0.999776 0.0211806i \(-0.00674249\pi\)
\(98\) −3.56916 6.02172i −0.360539 0.608286i
\(99\) −0.154854 1.85541i −0.0155634 0.186475i
\(100\) 3.98984 0.398984
\(101\) 9.91247 0.986328 0.493164 0.869936i \(-0.335840\pi\)
0.493164 + 0.869936i \(0.335840\pi\)
\(102\) 0.402137 0.437098i 0.0398175 0.0432792i
\(103\) 8.93253 5.15720i 0.880149 0.508154i 0.00944127 0.999955i \(-0.496995\pi\)
0.870707 + 0.491801i \(0.163661\pi\)
\(104\) 1.14202 + 3.41991i 0.111985 + 0.335350i
\(105\) −4.38743 + 1.40134i −0.428170 + 0.136756i
\(106\) −4.15182 + 2.39705i −0.403260 + 0.232822i
\(107\) 12.7443 + 7.35793i 1.23204 + 0.711318i 0.967454 0.253045i \(-0.0814321\pi\)
0.264584 + 0.964363i \(0.414765\pi\)
\(108\) 0.709119 5.14754i 0.0682350 0.495322i
\(109\) 15.5550 + 8.98070i 1.48990 + 0.860195i 0.999933 0.0115450i \(-0.00367496\pi\)
0.489968 + 0.871740i \(0.337008\pi\)
\(110\) 0.623763i 0.0594735i
\(111\) 7.18861 2.25077i 0.682313 0.213634i
\(112\) −2.64571 + 0.0151415i −0.249996 + 0.00143074i
\(113\) 4.26195 + 2.46064i 0.400931 + 0.231478i 0.686886 0.726766i \(-0.258977\pi\)
−0.285955 + 0.958243i \(0.592311\pi\)
\(114\) −2.24515 7.17067i −0.210278 0.671595i
\(115\) 2.83652 0.264507
\(116\) 8.23191 + 4.75270i 0.764314 + 0.441277i
\(117\) 9.93923 4.26752i 0.918882 0.394533i
\(118\) 3.08963i 0.284423i
\(119\) −0.449128 + 0.788297i −0.0411715 + 0.0722631i
\(120\) −0.380181 + 1.69880i −0.0347056 + 0.155079i
\(121\) −10.6148 −0.964985
\(122\) 5.78697 + 3.34111i 0.523927 + 0.302490i
\(123\) 3.26460 14.5876i 0.294359 1.31532i
\(124\) −2.50335 −0.224807
\(125\) 9.03538i 0.808149i
\(126\) 0.705413 + 7.90585i 0.0628432 + 0.704309i
\(127\) −2.78854 4.82989i −0.247443 0.428584i 0.715373 0.698743i \(-0.246257\pi\)
−0.962816 + 0.270159i \(0.912924\pi\)
\(128\) −0.500000 + 0.866025i −0.0441942 + 0.0765466i
\(129\) −0.623951 1.99280i −0.0549358 0.175456i
\(130\) −3.43723 + 1.14781i −0.301465 + 0.100670i
\(131\) −9.12794 15.8101i −0.797512 1.38133i −0.921232 0.389014i \(-0.872816\pi\)
0.123720 0.992317i \(-0.460517\pi\)
\(132\) 1.04900 + 0.234758i 0.0913034 + 0.0204331i
\(133\) 5.79566 + 9.90700i 0.502547 + 0.859046i
\(134\) −4.75367 2.74453i −0.410655 0.237092i
\(135\) 5.17362 + 0.712712i 0.445274 + 0.0613405i
\(136\) 0.171457 + 0.296972i 0.0147023 + 0.0254651i
\(137\) −4.05306 7.02011i −0.346276 0.599768i 0.639308 0.768950i \(-0.279221\pi\)
−0.985585 + 0.169182i \(0.945887\pi\)
\(138\) 1.06755 4.77024i 0.0908755 0.406069i
\(139\) 16.5296 + 9.54339i 1.40203 + 0.809460i 0.994600 0.103779i \(-0.0330934\pi\)
0.407425 + 0.913239i \(0.366427\pi\)
\(140\) −0.0152182 2.65911i −0.00128618 0.224736i
\(141\) −0.0193240 + 0.0863474i −0.00162737 + 0.00727177i
\(142\) −0.621982 1.07730i −0.0521956 0.0904054i
\(143\) 0.708762 + 2.12246i 0.0592697 + 0.177489i
\(144\) 2.71383 + 1.27872i 0.226153 + 0.106560i
\(145\) −4.77677 + 8.27361i −0.396689 + 0.687086i
\(146\) 4.46154 + 7.72761i 0.369239 + 0.639541i
\(147\) −3.75493 11.5282i −0.309702 0.950834i
\(148\) 4.34903i 0.357488i
\(149\) −4.69216 −0.384397 −0.192198 0.981356i \(-0.561562\pi\)
−0.192198 + 0.981356i \(0.561562\pi\)
\(150\) 6.74380 + 1.50921i 0.550629 + 0.123227i
\(151\) −6.80898 3.93117i −0.554107 0.319914i 0.196670 0.980470i \(-0.436987\pi\)
−0.750777 + 0.660556i \(0.770321\pi\)
\(152\) 4.33817 0.351872
\(153\) 0.845048 0.586688i 0.0683181 0.0474309i
\(154\) −1.64198 + 0.00939713i −0.132314 + 0.000757243i
\(155\) 2.51603i 0.202092i
\(156\) 0.636667 + 6.21246i 0.0509741 + 0.497395i
\(157\) −19.8931 11.4853i −1.58764 0.916627i −0.993694 0.112126i \(-0.964234\pi\)
−0.593951 0.804501i \(-0.702433\pi\)
\(158\) −0.916129 −0.0728833
\(159\) −7.92429 + 2.48111i −0.628437 + 0.196765i
\(160\) −0.870413 0.502533i −0.0688122 0.0397287i
\(161\) 0.0427328 + 7.46677i 0.00336782 + 0.588464i
\(162\) 3.14571 8.43235i 0.247151 0.662508i
\(163\) 8.84645i 0.692907i −0.938067 0.346454i \(-0.887386\pi\)
0.938067 0.346454i \(-0.112614\pi\)
\(164\) 7.47421 + 4.31523i 0.583637 + 0.336963i
\(165\) −0.235947 + 1.05431i −0.0183685 + 0.0820780i
\(166\) −11.4542 6.61307i −0.889017 0.513274i
\(167\) 3.95886 2.28565i 0.306345 0.176869i −0.338945 0.940806i \(-0.610070\pi\)
0.645290 + 0.763938i \(0.276737\pi\)
\(168\) −4.47761 0.975184i −0.345455 0.0752371i
\(169\) −10.3916 + 7.81124i −0.799351 + 0.600864i
\(170\) −0.298476 + 0.172325i −0.0228921 + 0.0132168i
\(171\) −1.08244 12.9694i −0.0827764 0.991797i
\(172\) 1.20562 0.0919278
\(173\) 13.1234 0.997757 0.498879 0.866672i \(-0.333745\pi\)
0.498879 + 0.866672i \(0.333745\pi\)
\(174\) 12.1161 + 11.1470i 0.918522 + 0.845055i
\(175\) −10.5560 + 0.0604124i −0.797955 + 0.00456675i
\(176\) −0.310310 + 0.537472i −0.0233905 + 0.0405135i
\(177\) −1.16870 + 5.22222i −0.0878445 + 0.392526i
\(178\) −3.11782 + 1.80007i −0.233690 + 0.134921i
\(179\) 19.5727i 1.46293i −0.681879 0.731465i \(-0.738837\pi\)
0.681879 0.731465i \(-0.261163\pi\)
\(180\) −1.28519 + 2.72758i −0.0957927 + 0.203302i
\(181\) 22.4310i 1.66728i −0.552305 0.833642i \(-0.686252\pi\)
0.552305 0.833642i \(-0.313748\pi\)
\(182\) −3.07325 9.03079i −0.227804 0.669407i
\(183\) 8.51755 + 7.83628i 0.629635 + 0.579274i
\(184\) 2.44412 + 1.41111i 0.180183 + 0.104028i
\(185\) −4.37106 −0.321367
\(186\) −4.23126 0.946926i −0.310251 0.0694320i
\(187\) 0.106409 + 0.184307i 0.00778143 + 0.0134778i
\(188\) −0.0442417 0.0255429i −0.00322665 0.00186291i
\(189\) −1.79818 + 13.6296i −0.130798 + 0.991409i
\(190\) 4.36015i 0.316319i
\(191\) 13.1414i 0.950880i −0.879748 0.475440i \(-0.842289\pi\)
0.879748 0.475440i \(-0.157711\pi\)
\(192\) −1.17271 + 1.27466i −0.0846329 + 0.0919907i
\(193\) 12.6192i 0.908352i −0.890912 0.454176i \(-0.849934\pi\)
0.890912 0.454176i \(-0.150066\pi\)
\(194\) 5.10398 + 8.84035i 0.366444 + 0.634700i
\(195\) −6.24393 + 0.639892i −0.447137 + 0.0458236i
\(196\) 6.99954 0.0801202i 0.499967 0.00572287i
\(197\) −0.693687 1.20150i −0.0494232 0.0856034i 0.840255 0.542191i \(-0.182405\pi\)
−0.889679 + 0.456587i \(0.849072\pi\)
\(198\) 1.68426 + 0.793596i 0.119695 + 0.0563984i
\(199\) 7.58522 4.37933i 0.537702 0.310442i −0.206445 0.978458i \(-0.566190\pi\)
0.744147 + 0.668016i \(0.232856\pi\)
\(200\) −1.99492 + 3.45530i −0.141062 + 0.244327i
\(201\) −6.99670 6.43707i −0.493509 0.454036i
\(202\) −4.95624 + 8.58446i −0.348720 + 0.604000i
\(203\) −21.8512 12.4496i −1.53365 0.873791i
\(204\) 0.177470 + 0.566810i 0.0124254 + 0.0396847i
\(205\) −4.33710 + 7.51207i −0.302916 + 0.524666i
\(206\) 10.3144i 0.718638i
\(207\) 3.60882 7.65904i 0.250830 0.532340i
\(208\) −3.53274 0.720933i −0.244951 0.0499877i
\(209\) 2.69235 0.186234
\(210\) 0.980124 4.50030i 0.0676350 0.310550i
\(211\) 12.8567 + 22.2684i 0.885089 + 1.53302i 0.845611 + 0.533799i \(0.179236\pi\)
0.0394776 + 0.999220i \(0.487431\pi\)
\(212\) 4.79410i 0.329260i
\(213\) −0.643794 2.05618i −0.0441121 0.140887i
\(214\) −12.7443 + 7.35793i −0.871182 + 0.502977i
\(215\) 1.21173i 0.0826393i
\(216\) 4.10334 + 3.18788i 0.279197 + 0.216908i
\(217\) 6.62312 0.0379045i 0.449607 0.00257313i
\(218\) −15.5550 + 8.98070i −1.05352 + 0.608250i
\(219\) 4.61800 + 14.7492i 0.312055 + 0.996656i
\(220\) −0.540195 0.311882i −0.0364199 0.0210271i
\(221\) −0.819809 + 0.925516i −0.0551464 + 0.0622570i
\(222\) −1.64508 + 7.35090i −0.110411 + 0.493360i
\(223\) 4.67710 + 8.10097i 0.313201 + 0.542481i 0.979054 0.203603i \(-0.0652652\pi\)
−0.665852 + 0.746084i \(0.731932\pi\)
\(224\) 1.30974 2.29882i 0.0875108 0.153596i
\(225\) 10.8278 + 5.10188i 0.721851 + 0.340125i
\(226\) −4.26195 + 2.46064i −0.283501 + 0.163679i
\(227\) −10.2114 + 5.89553i −0.677751 + 0.391300i −0.799007 0.601321i \(-0.794641\pi\)
0.121256 + 0.992621i \(0.461308\pi\)
\(228\) 7.33256 + 1.64098i 0.485611 + 0.108676i
\(229\) 5.47329 + 9.48001i 0.361685 + 0.626457i 0.988238 0.152922i \(-0.0488683\pi\)
−0.626553 + 0.779379i \(0.715535\pi\)
\(230\) −1.41826 + 2.45650i −0.0935172 + 0.161977i
\(231\) −2.77889 0.605218i −0.182838 0.0398204i
\(232\) −8.23191 + 4.75270i −0.540451 + 0.312030i
\(233\) −5.40464 + 3.12037i −0.354070 + 0.204422i −0.666476 0.745526i \(-0.732198\pi\)
0.312406 + 0.949949i \(0.398865\pi\)
\(234\) −1.27383 + 10.7414i −0.0832729 + 0.702186i
\(235\) 0.0256723 0.0444658i 0.00167468 0.00290063i
\(236\) −2.67570 1.54481i −0.174173 0.100559i
\(237\) −1.54848 0.346539i −0.100585 0.0225101i
\(238\) −0.458121 0.783105i −0.0296956 0.0507612i
\(239\) −30.4624 −1.97045 −0.985225 0.171267i \(-0.945214\pi\)
−0.985225 + 0.171267i \(0.945214\pi\)
\(240\) −1.28112 1.17865i −0.0826958 0.0760814i
\(241\) 2.84746 + 4.93194i 0.183421 + 0.317694i 0.943043 0.332670i \(-0.107950\pi\)
−0.759622 + 0.650364i \(0.774616\pi\)
\(242\) 5.30742 9.19271i 0.341174 0.590930i
\(243\) 8.50667 13.0628i 0.545703 0.837979i
\(244\) −5.78697 + 3.34111i −0.370473 + 0.213892i
\(245\) 0.0805261 + 7.03500i 0.00514462 + 0.449450i
\(246\) 11.0009 + 10.1210i 0.701393 + 0.645292i
\(247\) 4.95430 + 14.8362i 0.315235 + 0.944003i
\(248\) 1.25167 2.16796i 0.0794813 0.137666i
\(249\) −16.8588 15.5104i −1.06839 0.982931i
\(250\) −7.82487 4.51769i −0.494888 0.285724i
\(251\) 12.0289 20.8346i 0.759255 1.31507i −0.183976 0.982931i \(-0.558897\pi\)
0.943231 0.332138i \(-0.107770\pi\)
\(252\) −7.19937 3.34202i −0.453518 0.210527i
\(253\) 1.51687 + 0.875762i 0.0953645 + 0.0550587i
\(254\) 5.57708 0.349937
\(255\) −0.569682 + 0.178369i −0.0356749 + 0.0111699i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 14.7678 25.5785i 0.921189 1.59555i 0.123610 0.992331i \(-0.460553\pi\)
0.797579 0.603214i \(-0.206114\pi\)
\(258\) 2.03779 + 0.456044i 0.126867 + 0.0283920i
\(259\) −0.0658509 11.5063i −0.00409178 0.714964i
\(260\) 0.724585 3.55064i 0.0449369 0.220201i
\(261\) 16.2627 + 23.4243i 1.00663 + 1.44993i
\(262\) 18.2559 1.12785
\(263\) 22.0320i 1.35855i 0.733884 + 0.679274i \(0.237705\pi\)
−0.733884 + 0.679274i \(0.762295\pi\)
\(264\) −0.727805 + 0.791078i −0.0447933 + 0.0486875i
\(265\) 4.81839 0.295991
\(266\) −11.4775 + 0.0656867i −0.703733 + 0.00402751i
\(267\) −5.95077 + 1.86320i −0.364181 + 0.114026i
\(268\) 4.75367 2.74453i 0.290377 0.167649i
\(269\) 3.20777 + 5.55601i 0.195581 + 0.338756i 0.947091 0.320966i \(-0.104007\pi\)
−0.751510 + 0.659722i \(0.770674\pi\)
\(270\) −3.20403 + 4.12413i −0.194991 + 0.250986i
\(271\) 10.3183 17.8719i 0.626794 1.08564i −0.361397 0.932412i \(-0.617700\pi\)
0.988191 0.153227i \(-0.0489664\pi\)
\(272\) −0.342914 −0.0207922
\(273\) −1.77850 16.4267i −0.107640 0.994190i
\(274\) 8.10612 0.489709
\(275\) −1.23809 + 2.14443i −0.0746594 + 0.129314i
\(276\) 3.59737 + 3.30964i 0.216536 + 0.199217i
\(277\) −6.03772 10.4576i −0.362771 0.628338i 0.625644 0.780108i \(-0.284836\pi\)
−0.988416 + 0.151770i \(0.951503\pi\)
\(278\) −16.5296 + 9.54339i −0.991382 + 0.572375i
\(279\) −6.79366 3.20107i −0.406726 0.191643i
\(280\) 2.31047 + 1.31638i 0.138077 + 0.0786685i
\(281\) −30.4581 −1.81698 −0.908488 0.417911i \(-0.862762\pi\)
−0.908488 + 0.417911i \(0.862762\pi\)
\(282\) −0.0651171 0.0599088i −0.00387767 0.00356751i
\(283\) 17.5980i 1.04609i 0.852304 + 0.523047i \(0.175205\pi\)
−0.852304 + 0.523047i \(0.824795\pi\)
\(284\) 1.24396 0.0738157
\(285\) −1.64929 + 7.36971i −0.0976955 + 0.436544i
\(286\) −2.19249 0.447425i −0.129644 0.0264568i
\(287\) −19.8399 11.3037i −1.17111 0.667235i
\(288\) −2.46432 + 1.71089i −0.145211 + 0.100815i
\(289\) 8.44121 14.6206i 0.496541 0.860035i
\(290\) −4.77677 8.27361i −0.280502 0.485843i
\(291\) 5.28297 + 16.8730i 0.309693 + 0.989112i
\(292\) −8.92307 −0.522183
\(293\) −14.3730 8.29824i −0.839678 0.484788i 0.0174766 0.999847i \(-0.494437\pi\)
−0.857155 + 0.515059i \(0.827770\pi\)
\(294\) 11.8612 + 2.51225i 0.691760 + 0.146518i
\(295\) 1.55264 2.68925i 0.0903982 0.156574i
\(296\) −3.76637 2.17451i −0.218916 0.126391i
\(297\) 2.54661 + 1.97846i 0.147769 + 0.114802i
\(298\) 2.34608 4.06353i 0.135905 0.235394i
\(299\) −2.03463 + 9.97018i −0.117666 + 0.576590i
\(300\) −4.67892 + 5.08569i −0.270137 + 0.293623i
\(301\) −3.18972 + 0.0182550i −0.183853 + 0.00105220i
\(302\) 6.80898 3.93117i 0.391813 0.226213i
\(303\) −11.6244 + 12.6350i −0.667806 + 0.725864i
\(304\) −2.16909 + 3.75697i −0.124406 + 0.215477i
\(305\) −3.35803 5.81628i −0.192280 0.333039i
\(306\) 0.0855623 + 1.02518i 0.00489127 + 0.0586055i
\(307\) 26.3002 1.50103 0.750514 0.660854i \(-0.229806\pi\)
0.750514 + 0.660854i \(0.229806\pi\)
\(308\) 0.812851 1.42669i 0.0463165 0.0812934i
\(309\) −3.90157 + 17.4338i −0.221953 + 0.991776i
\(310\) 2.17894 + 1.25801i 0.123756 + 0.0714504i
\(311\) −6.89170 + 11.9368i −0.390793 + 0.676873i −0.992554 0.121803i \(-0.961132\pi\)
0.601762 + 0.798676i \(0.294466\pi\)
\(312\) −5.69848 2.55486i −0.322613 0.144640i
\(313\) 7.93246 4.57981i 0.448369 0.258866i −0.258772 0.965938i \(-0.583318\pi\)
0.707141 + 0.707072i \(0.249985\pi\)
\(314\) 19.8931 11.4853i 1.12263 0.648153i
\(315\) 3.35895 7.23584i 0.189255 0.407693i
\(316\) 0.458065 0.793391i 0.0257681 0.0446317i
\(317\) 2.37076 + 4.10628i 0.133155 + 0.230631i 0.924891 0.380232i \(-0.124156\pi\)
−0.791736 + 0.610863i \(0.790822\pi\)
\(318\) 1.81344 8.10319i 0.101693 0.454405i
\(319\) −5.10888 + 2.94961i −0.286042 + 0.165147i
\(320\) 0.870413 0.502533i 0.0486575 0.0280924i
\(321\) −24.3242 + 7.61596i −1.35764 + 0.425081i
\(322\) −6.48778 3.69638i −0.361550 0.205991i
\(323\) 0.743810 + 1.28832i 0.0413867 + 0.0716838i
\(324\) 5.72977 + 6.94044i 0.318321 + 0.385580i
\(325\) −14.0951 2.87641i −0.781854 0.159554i
\(326\) 7.66125 + 4.42322i 0.424317 + 0.244980i
\(327\) −29.6888 + 9.29564i −1.64180 + 0.514050i
\(328\) −7.47421 + 4.31523i −0.412694 + 0.238269i
\(329\) 0.117437 + 0.0669092i 0.00647453 + 0.00368883i
\(330\) −0.795086 0.731492i −0.0437680 0.0402673i
\(331\) 24.4210i 1.34230i 0.741323 + 0.671149i \(0.234199\pi\)
−0.741323 + 0.671149i \(0.765801\pi\)
\(332\) 11.4542 6.61307i 0.628630 0.362940i
\(333\) −5.56117 + 11.8025i −0.304750 + 0.646774i
\(334\) 4.57129i 0.250130i
\(335\) 2.75844 + 4.77776i 0.150710 + 0.261037i
\(336\) 3.08334 3.39013i 0.168210 0.184947i
\(337\) 1.88882 0.102891 0.0514453 0.998676i \(-0.483617\pi\)
0.0514453 + 0.998676i \(0.483617\pi\)
\(338\) −1.56895 12.9050i −0.0853396 0.701938i
\(339\) −8.13450 + 2.54693i −0.441806 + 0.138330i
\(340\) 0.344651i 0.0186913i
\(341\) 0.776812 1.34548i 0.0420667 0.0728617i
\(342\) 11.7731 + 5.54729i 0.636615 + 0.299963i
\(343\) −18.5175 + 0.317958i −0.999853 + 0.0171681i
\(344\) −0.602811 + 1.04410i −0.0325014 + 0.0562940i
\(345\) −3.32641 + 3.61560i −0.179088 + 0.194657i
\(346\) −6.56172 + 11.3652i −0.352760 + 0.610999i
\(347\) 30.0878 17.3712i 1.61520 0.932535i 0.627060 0.778971i \(-0.284258\pi\)
0.988139 0.153564i \(-0.0490751\pi\)
\(348\) −15.7117 + 4.91937i −0.842235 + 0.263706i
\(349\) −4.20668 7.28618i −0.225178 0.390021i 0.731195 0.682169i \(-0.238963\pi\)
−0.956373 + 0.292148i \(0.905630\pi\)
\(350\) 5.22566 9.17193i 0.279323 0.490260i
\(351\) −6.21616 + 17.6737i −0.331794 + 0.943352i
\(352\) −0.310310 0.537472i −0.0165396 0.0286474i
\(353\) 19.8207i 1.05495i 0.849571 + 0.527474i \(0.176861\pi\)
−0.849571 + 0.527474i \(0.823139\pi\)
\(354\) −3.93822 3.62323i −0.209314 0.192572i
\(355\) 1.25027i 0.0663572i
\(356\) 3.60015i 0.190807i
\(357\) −0.478115 1.49693i −0.0253045 0.0792258i
\(358\) 16.9504 + 9.78634i 0.895858 + 0.517224i
\(359\) 0.111157 + 0.192530i 0.00586667 + 0.0101614i 0.868944 0.494911i \(-0.164799\pi\)
−0.863077 + 0.505072i \(0.831466\pi\)
\(360\) −1.71956 2.47680i −0.0906286 0.130539i
\(361\) −0.180241 −0.00948637
\(362\) 19.4258 + 11.2155i 1.02100 + 0.589474i
\(363\) 12.4481 13.5303i 0.653355 0.710157i
\(364\) 9.35752 + 1.85389i 0.490467 + 0.0971701i
\(365\) 8.96828i 0.469421i
\(366\) −11.0452 + 3.45827i −0.577341 + 0.180767i
\(367\) 13.4010i 0.699525i −0.936838 0.349763i \(-0.886262\pi\)
0.936838 0.349763i \(-0.113738\pi\)
\(368\) −2.44412 + 1.41111i −0.127408 + 0.0735592i
\(369\) 14.7658 + 21.2682i 0.768676 + 1.10718i
\(370\) 2.18553 3.78545i 0.113620 0.196796i
\(371\) 0.0725901 + 12.6838i 0.00376869 + 0.658510i
\(372\) 2.93569 3.19091i 0.152208 0.165441i
\(373\) −7.95557 −0.411924 −0.205962 0.978560i \(-0.566032\pi\)
−0.205962 + 0.978560i \(0.566032\pi\)
\(374\) −0.212819 −0.0110046
\(375\) −11.5170 10.5959i −0.594738 0.547168i
\(376\) 0.0442417 0.0255429i 0.00228159 0.00131728i
\(377\) −25.6548 22.7247i −1.32129 1.17038i
\(378\) −10.9045 8.37208i −0.560867 0.430613i
\(379\) −4.29409 + 2.47919i −0.220572 + 0.127348i −0.606215 0.795301i \(-0.707313\pi\)
0.385643 + 0.922648i \(0.373980\pi\)
\(380\) −3.77600 2.18008i −0.193705 0.111836i
\(381\) 9.42662 + 2.10961i 0.482940 + 0.108079i
\(382\) 11.3808 + 6.57071i 0.582293 + 0.336187i
\(383\) 10.8652i 0.555187i −0.960699 0.277594i \(-0.910463\pi\)
0.960699 0.277594i \(-0.0895368\pi\)
\(384\) −0.517534 1.65292i −0.0264103 0.0843504i
\(385\) 1.43392 + 0.816968i 0.0730793 + 0.0416366i
\(386\) 10.9286 + 6.30961i 0.556250 + 0.321151i
\(387\) 3.27186 + 1.54165i 0.166318 + 0.0783664i
\(388\) −10.2080 −0.518231
\(389\) 33.7632 + 19.4932i 1.71186 + 0.988345i 0.932048 + 0.362334i \(0.118020\pi\)
0.779815 + 0.626011i \(0.215313\pi\)
\(390\) 2.56780 5.72735i 0.130026 0.290016i
\(391\) 0.967778i 0.0489427i
\(392\) −3.43038 + 6.10184i −0.173261 + 0.308190i
\(393\) 30.8568 + 6.90555i 1.55652 + 0.348339i
\(394\) 1.38737 0.0698949
\(395\) 0.797410 + 0.460385i 0.0401221 + 0.0231645i
\(396\) −1.52940 + 1.06181i −0.0768554 + 0.0533580i
\(397\) −22.2075 −1.11456 −0.557282 0.830323i \(-0.688156\pi\)
−0.557282 + 0.830323i \(0.688156\pi\)
\(398\) 8.75865i 0.439032i
\(399\) −19.4247 4.23052i −0.972450 0.211791i
\(400\) −1.99492 3.45530i −0.0997461 0.172765i
\(401\) 14.8257 25.6788i 0.740358 1.28234i −0.211975 0.977275i \(-0.567989\pi\)
0.952332 0.305062i \(-0.0986772\pi\)
\(402\) 9.07302 2.84078i 0.452521 0.141685i
\(403\) 8.84367 + 1.80474i 0.440535 + 0.0899007i
\(404\) −4.95624 8.58446i −0.246582 0.427093i
\(405\) −6.97560 + 5.75880i −0.346620 + 0.286157i
\(406\) 21.7073 12.6989i 1.07731 0.630235i
\(407\) −2.33748 1.34954i −0.115865 0.0668944i
\(408\) −0.579607 0.129712i −0.0286948 0.00642170i
\(409\) −0.530471 0.918802i −0.0262301 0.0454318i 0.852612 0.522544i \(-0.175017\pi\)
−0.878842 + 0.477112i \(0.841684\pi\)
\(410\) −4.33710 7.51207i −0.214194 0.370995i
\(411\) 13.7013 + 3.06626i 0.675835 + 0.151247i
\(412\) −8.93253 5.15720i −0.440074 0.254077i
\(413\) 7.10250 + 4.04661i 0.349491 + 0.199121i
\(414\) 4.82851 + 6.95485i 0.237308 + 0.341812i
\(415\) 6.64657 + 11.5122i 0.326268 + 0.565112i
\(416\) 2.39072 2.69898i 0.117215 0.132328i
\(417\) −31.5490 + 9.87806i −1.54496 + 0.483731i
\(418\) −1.34618 + 2.33165i −0.0658437 + 0.114045i
\(419\) −2.10360 3.64355i −0.102768 0.177999i 0.810056 0.586352i \(-0.199437\pi\)
−0.912824 + 0.408353i \(0.866103\pi\)
\(420\) 3.40731 + 3.09896i 0.166260 + 0.151214i
\(421\) 12.1375i 0.591544i −0.955259 0.295772i \(-0.904423\pi\)
0.955259 0.295772i \(-0.0955768\pi\)
\(422\) −25.7133 −1.25171
\(423\) −0.0874023 0.125892i −0.00424964 0.00612107i
\(424\) 4.15182 + 2.39705i 0.201630 + 0.116411i
\(425\) −1.36817 −0.0663661
\(426\) 2.10260 + 0.470547i 0.101871 + 0.0227981i
\(427\) 15.2600 8.92722i 0.738485 0.432018i
\(428\) 14.7159i 0.711318i
\(429\) −3.53659 1.58560i −0.170748 0.0765533i
\(430\) −1.04939 0.605865i −0.0506060 0.0292174i
\(431\) 6.74465 0.324878 0.162439 0.986719i \(-0.448064\pi\)
0.162439 + 0.986719i \(0.448064\pi\)
\(432\) −4.81246 + 1.95965i −0.231540 + 0.0942839i
\(433\) 25.4298 + 14.6819i 1.22208 + 0.705566i 0.965360 0.260920i \(-0.0840260\pi\)
0.256717 + 0.966487i \(0.417359\pi\)
\(434\) −3.27873 + 5.75474i −0.157384 + 0.276236i
\(435\) −4.94429 15.7913i −0.237060 0.757134i
\(436\) 17.9614i 0.860195i
\(437\) 10.6030 + 6.12164i 0.507210 + 0.292838i
\(438\) −15.0821 3.37528i −0.720653 0.161277i
\(439\) 3.30932 + 1.91064i 0.157945 + 0.0911898i 0.576889 0.816822i \(-0.304266\pi\)
−0.418944 + 0.908012i \(0.637600\pi\)
\(440\) 0.540195 0.311882i 0.0257528 0.0148684i
\(441\) 19.0980 + 8.73299i 0.909430 + 0.415857i
\(442\) −0.391616 1.17273i −0.0186273 0.0557813i
\(443\) 20.4039 11.7802i 0.969420 0.559695i 0.0703604 0.997522i \(-0.477585\pi\)
0.899059 + 0.437827i \(0.144252\pi\)
\(444\) −5.54353 5.10013i −0.263084 0.242042i
\(445\) 3.61839 0.171528
\(446\) −9.35419 −0.442934
\(447\) 5.50253 5.98091i 0.260261 0.282887i
\(448\) 1.33597 + 2.28368i 0.0631185 + 0.107894i
\(449\) 3.91435 6.77986i 0.184730 0.319961i −0.758756 0.651375i \(-0.774192\pi\)
0.943485 + 0.331414i \(0.107526\pi\)
\(450\) −9.83224 + 6.82618i −0.463496 + 0.321789i
\(451\) −4.63864 + 2.67812i −0.218425 + 0.126108i
\(452\) 4.92128i 0.231478i
\(453\) 12.9958 4.06903i 0.610598 0.191180i
\(454\) 11.7911i 0.553382i
\(455\) −1.86328 + 9.40492i −0.0873518 + 0.440909i
\(456\) −5.08741 + 5.52970i −0.238240 + 0.258952i
\(457\) −27.5421 15.9014i −1.28837 0.743838i −0.310003 0.950736i \(-0.600330\pi\)
−0.978363 + 0.206897i \(0.933663\pi\)
\(458\) −10.9466 −0.511500
\(459\) −0.243167 + 1.76516i −0.0113501 + 0.0823907i
\(460\) −1.41826 2.45650i −0.0661267 0.114535i
\(461\) 26.9000 + 15.5307i 1.25286 + 0.723337i 0.971676 0.236318i \(-0.0759406\pi\)
0.281181 + 0.959655i \(0.409274\pi\)
\(462\) 1.91358 2.10398i 0.0890278 0.0978861i
\(463\) 27.0578i 1.25748i −0.777614 0.628742i \(-0.783570\pi\)
0.777614 0.628742i \(-0.216430\pi\)
\(464\) 9.50539i 0.441277i
\(465\) 3.20708 + 2.95056i 0.148725 + 0.136829i
\(466\) 6.24074i 0.289097i
\(467\) −15.8112 27.3859i −0.731657 1.26727i −0.956175 0.292797i \(-0.905414\pi\)
0.224517 0.974470i \(-0.427919\pi\)
\(468\) −8.66540 6.47386i −0.400558 0.299254i
\(469\) −12.5353 + 7.33322i −0.578825 + 0.338616i
\(470\) 0.0256723 + 0.0444658i 0.00118418 + 0.00205105i
\(471\) 37.9687 11.8881i 1.74950 0.547774i
\(472\) 2.67570 1.54481i 0.123159 0.0711058i
\(473\) −0.374116 + 0.647988i −0.0172019 + 0.0297945i
\(474\) 1.07435 1.16775i 0.0493466 0.0536367i
\(475\) −8.65432 + 14.9897i −0.397087 + 0.687775i
\(476\) 0.907250 0.00519224i 0.0415837 0.000237986i
\(477\) 6.13030 13.0104i 0.280687 0.595705i
\(478\) 15.2312 26.3812i 0.696659 1.20665i
\(479\) 10.6459i 0.486424i −0.969973 0.243212i \(-0.921799\pi\)
0.969973 0.243212i \(-0.0782011\pi\)
\(480\) 1.66130 0.520156i 0.0758275 0.0237418i
\(481\) 3.13535 15.3640i 0.142960 0.700537i
\(482\) −5.69491 −0.259396
\(483\) −9.56771 8.70187i −0.435346 0.395949i
\(484\) 5.30742 + 9.19271i 0.241246 + 0.417851i
\(485\) 10.2597i 0.465868i
\(486\) 7.05938 + 13.8984i 0.320220 + 0.630444i
\(487\) −34.2885 + 19.7965i −1.55376 + 0.897063i −0.555928 + 0.831231i \(0.687637\pi\)
−0.997831 + 0.0658322i \(0.979030\pi\)
\(488\) 6.68221i 0.302490i
\(489\) 11.2762 + 10.3743i 0.509928 + 0.469142i
\(490\) −6.13275 3.44776i −0.277050 0.155754i
\(491\) 27.5795 15.9230i 1.24465 0.718597i 0.274610 0.961556i \(-0.411451\pi\)
0.970037 + 0.242959i \(0.0781181\pi\)
\(492\) −14.2655 + 4.46656i −0.643139 + 0.201368i
\(493\) −2.82283 1.62976i −0.127134 0.0734009i
\(494\) −15.3256 3.12753i −0.689533 0.140714i
\(495\) −1.06719 1.53715i −0.0479666 0.0690898i
\(496\) 1.25167 + 2.16796i 0.0562018 + 0.0973443i
\(497\) −3.29117 + 0.0188355i −0.147629 + 0.000844889i
\(498\) 21.8618 6.84498i 0.979651 0.306731i
\(499\) −7.30529 + 4.21771i −0.327030 + 0.188811i −0.654522 0.756043i \(-0.727130\pi\)
0.327492 + 0.944854i \(0.393797\pi\)
\(500\) 7.82487 4.51769i 0.349939 0.202037i
\(501\) −1.72916 + 7.72659i −0.0772530 + 0.345198i
\(502\) 12.0289 + 20.8346i 0.536875 + 0.929894i
\(503\) 4.21408 7.29900i 0.187896 0.325446i −0.756652 0.653818i \(-0.773166\pi\)
0.944549 + 0.328371i \(0.106500\pi\)
\(504\) 6.49396 4.56383i 0.289264 0.203289i
\(505\) 8.62794 4.98135i 0.383938 0.221667i
\(506\) −1.51687 + 0.875762i −0.0674329 + 0.0389324i
\(507\) 2.22959 22.4060i 0.0990194 0.995085i
\(508\) −2.78854 + 4.82989i −0.123722 + 0.214292i
\(509\) 14.1105 + 8.14669i 0.625436 + 0.361096i 0.778982 0.627046i \(-0.215736\pi\)
−0.153546 + 0.988141i \(0.549069\pi\)
\(510\) 0.130369 0.582543i 0.00577284 0.0257954i
\(511\) 23.6078 0.135109i 1.04435 0.00597687i
\(512\) 1.00000 0.0441942
\(513\) 17.8010 + 13.8296i 0.785933 + 0.610592i
\(514\) 14.7678 + 25.5785i 0.651379 + 1.12822i
\(515\) 5.18333 8.97779i 0.228405 0.395609i
\(516\) −1.41384 + 1.53676i −0.0622409 + 0.0676520i
\(517\) 0.0274572 0.0158524i 0.00120757 0.000697189i
\(518\) 9.99763 + 5.69610i 0.439271 + 0.250272i
\(519\) −15.3900 + 16.7279i −0.675544 + 0.734275i
\(520\) 2.71265 + 2.40283i 0.118958 + 0.105371i
\(521\) −9.43681 + 16.3450i −0.413434 + 0.716089i −0.995263 0.0972224i \(-0.969004\pi\)
0.581828 + 0.813312i \(0.302338\pi\)
\(522\) −28.4174 + 2.37174i −1.24379 + 0.103808i
\(523\) 15.8502 + 9.15112i 0.693081 + 0.400151i 0.804765 0.593593i \(-0.202291\pi\)
−0.111684 + 0.993744i \(0.535624\pi\)
\(524\) −9.12794 + 15.8101i −0.398756 + 0.690665i
\(525\) 12.3020 13.5261i 0.536905 0.590327i
\(526\) −19.0802 11.0160i −0.831938 0.480319i
\(527\) 0.858431 0.0373939
\(528\) −0.321192 1.02584i −0.0139781 0.0446438i
\(529\) −7.51753 13.0207i −0.326849 0.566120i
\(530\) −2.40920 + 4.17285i −0.104649 + 0.181257i
\(531\) −5.28601 7.61382i −0.229393 0.330412i
\(532\) 5.68189 9.97269i 0.246341 0.432371i
\(533\) −23.2934 20.6330i −1.00895 0.893715i
\(534\) 1.36181 6.08512i 0.0589312 0.263329i
\(535\) 14.7904 0.639445
\(536\) 5.48907i 0.237092i
\(537\) 24.9485 + 22.9530i 1.07661 + 0.990496i
\(538\) −6.41553 −0.276593
\(539\) −2.12896 + 3.78692i −0.0917009 + 0.163114i
\(540\) −1.96958 4.83684i −0.0847573 0.208144i
\(541\) −1.05318 + 0.608052i −0.0452796 + 0.0261422i −0.522469 0.852658i \(-0.674989\pi\)
0.477189 + 0.878801i \(0.341656\pi\)
\(542\) 10.3183 + 17.8719i 0.443210 + 0.767662i
\(543\) 28.5919 + 26.3050i 1.22700 + 1.12886i
\(544\) 0.171457 0.296972i 0.00735115 0.0127326i
\(545\) 18.0524 0.773280
\(546\) 15.1152 + 6.67313i 0.646871 + 0.285584i
\(547\) −11.3034 −0.483301 −0.241650 0.970363i \(-0.577689\pi\)
−0.241650 + 0.970363i \(0.577689\pi\)
\(548\) −4.05306 + 7.02011i −0.173138 + 0.299884i
\(549\) −19.9772 + 1.66732i −0.852605 + 0.0711593i
\(550\) −1.23809 2.14443i −0.0527922 0.0914388i
\(551\) −35.7115 + 20.6180i −1.52136 + 0.878357i
\(552\) −4.66492 + 1.46060i −0.198552 + 0.0621671i
\(553\) −1.19989 + 2.10602i −0.0510246 + 0.0895570i
\(554\) 12.0754 0.513036
\(555\) 5.12597 5.57161i 0.217585 0.236502i
\(556\) 19.0868i 0.809460i
\(557\) 19.5374 0.827825 0.413912 0.910317i \(-0.364162\pi\)
0.413912 + 0.910317i \(0.364162\pi\)
\(558\) 6.16904 4.28295i 0.261156 0.181312i
\(559\) −4.25915 0.869172i −0.180143 0.0367621i
\(560\) −2.29525 + 1.34273i −0.0969920 + 0.0567409i
\(561\) −0.359715 0.0805018i −0.0151872 0.00339879i
\(562\) 15.2290 26.3775i 0.642398 1.11267i
\(563\) 15.5687 + 26.9657i 0.656141 + 1.13647i 0.981606 + 0.190916i \(0.0611457\pi\)
−0.325466 + 0.945554i \(0.605521\pi\)
\(564\) 0.0844411 0.0264387i 0.00355561 0.00111327i
\(565\) 4.94621 0.208089
\(566\) −15.2403 8.79901i −0.640599 0.369850i
\(567\) −15.2644 18.2756i −0.641044 0.767504i
\(568\) −0.621982 + 1.07730i −0.0260978 + 0.0452027i
\(569\) 1.67856 + 0.969116i 0.0703688 + 0.0406275i 0.534772 0.844997i \(-0.320398\pi\)
−0.464403 + 0.885624i \(0.653731\pi\)
\(570\) −5.55771 5.11318i −0.232787 0.214168i
\(571\) 5.29680 9.17432i 0.221664 0.383933i −0.733649 0.679528i \(-0.762185\pi\)
0.955313 + 0.295595i \(0.0955178\pi\)
\(572\) 1.48372 1.67504i 0.0620376 0.0700368i
\(573\) 16.7508 + 15.4110i 0.699776 + 0.643805i
\(574\) 19.7092 11.5300i 0.822647 0.481254i
\(575\) −9.75164 + 5.63011i −0.406671 + 0.234792i
\(576\) −0.249516 2.98961i −0.0103965 0.124567i
\(577\) 8.46005 14.6532i 0.352197 0.610022i −0.634437 0.772974i \(-0.718768\pi\)
0.986634 + 0.162952i \(0.0521015\pi\)
\(578\) 8.44121 + 14.6206i 0.351108 + 0.608137i
\(579\) 16.0852 + 14.7987i 0.668479 + 0.615011i
\(580\) 9.55354 0.396689
\(581\) −30.2043 + 17.6697i −1.25308 + 0.733062i
\(582\) −17.2539 3.86131i −0.715198 0.160056i
\(583\) 2.57670 + 1.48766i 0.106716 + 0.0616124i
\(584\) 4.46154 7.72761i 0.184620 0.319771i
\(585\) 6.50666 8.70930i 0.269017 0.360085i
\(586\) 14.3730 8.29824i 0.593742 0.342797i
\(587\) 17.0112 9.82143i 0.702128 0.405374i −0.106012 0.994365i \(-0.533808\pi\)
0.808139 + 0.588991i \(0.200475\pi\)
\(588\) −8.10629 + 9.01599i −0.334298 + 0.371813i
\(589\) 5.42997 9.40499i 0.223738 0.387526i
\(590\) 1.55264 + 2.68925i 0.0639212 + 0.110715i
\(591\) 2.34500 + 0.524794i 0.0964603 + 0.0215871i
\(592\) 3.76637 2.17451i 0.154797 0.0893719i
\(593\) −8.82193 + 5.09334i −0.362273 + 0.209158i −0.670077 0.742291i \(-0.733739\pi\)
0.307804 + 0.951450i \(0.400406\pi\)
\(594\) −2.98670 + 1.21620i −0.122546 + 0.0499012i
\(595\) 0.00521855 + 0.911846i 0.000213940 + 0.0373820i
\(596\) 2.34608 + 4.06353i 0.0960992 + 0.166449i
\(597\) −3.31309 + 14.8042i −0.135596 + 0.605897i
\(598\) −7.61711 6.74713i −0.311487 0.275911i
\(599\) −1.11601 0.644326i −0.0455988 0.0263265i 0.477027 0.878888i \(-0.341714\pi\)
−0.522626 + 0.852562i \(0.675048\pi\)
\(600\) −2.06488 6.59491i −0.0842984 0.269236i
\(601\) −11.6473 + 6.72456i −0.475103 + 0.274301i −0.718373 0.695658i \(-0.755113\pi\)
0.243271 + 0.969958i \(0.421780\pi\)
\(602\) 1.57905 2.77151i 0.0643574 0.112958i
\(603\) 16.4102 1.36961i 0.668273 0.0557748i
\(604\) 7.86233i 0.319914i
\(605\) −9.23928 + 5.33430i −0.375630 + 0.216870i
\(606\) −5.13005 16.3846i −0.208394 0.665578i
\(607\) 31.0276i 1.25937i −0.776851 0.629685i \(-0.783184\pi\)
0.776851 0.629685i \(-0.216816\pi\)
\(608\) −2.16909 3.75697i −0.0879681 0.152365i
\(609\) 41.4941 13.2531i 1.68142 0.537043i
\(610\) 6.71606 0.271926
\(611\) 0.137880 + 0.122132i 0.00557801 + 0.00494092i
\(612\) −0.930610 0.438489i −0.0376177 0.0177249i
\(613\) 19.5668i 0.790295i 0.918618 + 0.395148i \(0.129307\pi\)
−0.918618 + 0.395148i \(0.870693\pi\)
\(614\) −13.1501 + 22.7766i −0.530694 + 0.919189i
\(615\) −4.48919 14.3378i −0.181022 0.578155i
\(616\) 0.829127 + 1.41730i 0.0334065 + 0.0571045i
\(617\) 22.9771 39.7974i 0.925022 1.60218i 0.133495 0.991049i \(-0.457380\pi\)
0.791526 0.611135i \(-0.209287\pi\)
\(618\) −13.1474 12.0958i −0.528864 0.486563i
\(619\) −8.61313 + 14.9184i −0.346191 + 0.599620i −0.985569 0.169272i \(-0.945858\pi\)
0.639378 + 0.768892i \(0.279192\pi\)
\(620\) −2.17894 + 1.25801i −0.0875085 + 0.0505230i
\(621\) 5.53058 + 13.5818i 0.221934 + 0.545020i
\(622\) −6.89170 11.9368i −0.276332 0.478621i
\(623\) 0.0545118 + 9.52494i 0.00218397 + 0.381609i
\(624\) 5.06181 3.65760i 0.202635 0.146421i
\(625\) −5.43403 9.41201i −0.217361 0.376480i
\(626\) 9.15961i 0.366092i
\(627\) −3.15734 + 3.43184i −0.126092 + 0.137054i
\(628\) 22.9706i 0.916627i
\(629\) 1.49134i 0.0594636i
\(630\) 4.58695 + 6.52685i 0.182748 + 0.260036i
\(631\) −25.7893 14.8894i −1.02665 0.592739i −0.110630 0.993862i \(-0.535287\pi\)
−0.916024 + 0.401123i \(0.868620\pi\)
\(632\) 0.458065 + 0.793391i 0.0182208 + 0.0315594i
\(633\) −43.4617 9.72643i −1.72745 0.386591i
\(634\) −4.74152 −0.188310
\(635\) −4.85436 2.80267i −0.192640 0.111220i
\(636\) 6.11085 + 5.62208i 0.242311 + 0.222930i
\(637\) −24.7853 4.76316i −0.982030 0.188723i
\(638\) 5.89923i 0.233553i
\(639\) 3.37591 + 1.59068i 0.133549 + 0.0629262i
\(640\) 1.00507i 0.0397287i
\(641\) −35.8025 + 20.6706i −1.41411 + 0.816439i −0.995773 0.0918509i \(-0.970722\pi\)
−0.418341 + 0.908290i \(0.637388\pi\)
\(642\) 5.56648 24.8733i 0.219691 0.981673i
\(643\) −16.2778 + 28.1940i −0.641934 + 1.11186i 0.343067 + 0.939311i \(0.388534\pi\)
−0.985001 + 0.172551i \(0.944799\pi\)
\(644\) 6.44505 3.77039i 0.253971 0.148574i
\(645\) −1.54454 1.42100i −0.0608163 0.0559520i
\(646\) −1.48762 −0.0585296
\(647\) 4.27122 0.167919 0.0839595 0.996469i \(-0.473243\pi\)
0.0839595 + 0.996469i \(0.473243\pi\)
\(648\) −8.87548 + 1.49191i −0.348662 + 0.0586076i
\(649\) 1.66059 0.958741i 0.0651838 0.0376339i
\(650\) 9.53858 10.7685i 0.374134 0.422375i
\(651\) −7.71867 + 8.48668i −0.302518 + 0.332619i
\(652\) −7.66125 + 4.42322i −0.300038 + 0.173227i
\(653\) −11.2332 6.48551i −0.439590 0.253798i 0.263834 0.964568i \(-0.415013\pi\)
−0.703424 + 0.710771i \(0.748346\pi\)
\(654\) 6.79416 30.3591i 0.265673 1.18714i
\(655\) −15.8901 9.17418i −0.620879 0.358465i
\(656\) 8.63047i 0.336963i
\(657\) −24.2157 11.4101i −0.944745 0.445149i
\(658\) −0.116664 + 0.0682490i −0.00454803 + 0.00266062i
\(659\) 31.7740 + 18.3447i 1.23774 + 0.714609i 0.968631 0.248502i \(-0.0799381\pi\)
0.269107 + 0.963110i \(0.413271\pi\)
\(660\) 1.03103 0.322819i 0.0401329 0.0125657i
\(661\) −7.17998 −0.279269 −0.139634 0.990203i \(-0.544593\pi\)
−0.139634 + 0.990203i \(0.544593\pi\)
\(662\) −21.1492 12.2105i −0.821986 0.474574i
\(663\) −0.218322 2.13034i −0.00847892 0.0827355i
\(664\) 13.2261i 0.513274i
\(665\) 10.0232 + 5.71067i 0.388683 + 0.221450i
\(666\) −7.44070 10.7174i −0.288321 0.415290i
\(667\) −26.8263 −1.03872
\(668\) −3.95886 2.28565i −0.153173 0.0884343i
\(669\) −15.8108 3.53836i −0.611282 0.136801i
\(670\) −5.51688 −0.213136
\(671\) 4.14711i 0.160097i
\(672\) 1.39427 + 4.36532i 0.0537852 + 0.168396i
\(673\) −2.07797 3.59915i −0.0800999 0.138737i 0.823193 0.567762i \(-0.192191\pi\)
−0.903293 + 0.429025i \(0.858857\pi\)
\(674\) −0.944409 + 1.63577i −0.0363773 + 0.0630073i
\(675\) −19.2010 + 7.81871i −0.739045 + 0.300942i
\(676\) 11.9605 + 5.09374i 0.460020 + 0.195913i
\(677\) 5.94798 + 10.3022i 0.228599 + 0.395946i 0.957393 0.288787i \(-0.0932521\pi\)
−0.728794 + 0.684733i \(0.759919\pi\)
\(678\) 1.86154 8.31815i 0.0714922 0.319457i
\(679\) 27.0073 0.154564i 1.03644 0.00593163i
\(680\) 0.298476 + 0.172325i 0.0114460 + 0.00660838i
\(681\) 4.46013 19.9297i 0.170913 0.763709i
\(682\) 0.776812 + 1.34548i 0.0297457 + 0.0515210i
\(683\) 2.21590 + 3.83806i 0.0847892 + 0.146859i 0.905301 0.424770i \(-0.139645\pi\)
−0.820512 + 0.571629i \(0.806312\pi\)
\(684\) −10.6906 + 7.42214i −0.408767 + 0.283793i
\(685\) −7.05567 4.07359i −0.269583 0.155644i
\(686\) 8.98340 16.1956i 0.342988 0.618352i
\(687\) −18.5024 4.14070i −0.705909 0.157977i
\(688\) −0.602811 1.04410i −0.0229819 0.0398059i
\(689\) −3.45623 + 16.9363i −0.131672 + 0.645223i
\(690\) −1.46800 4.68855i −0.0558856 0.178490i
\(691\) −16.8071 + 29.1108i −0.639372 + 1.10743i 0.346198 + 0.938161i \(0.387472\pi\)
−0.985571 + 0.169264i \(0.945861\pi\)
\(692\) −6.56172 11.3652i −0.249439 0.432041i
\(693\) 4.03027 2.83240i 0.153097 0.107594i
\(694\) 34.7424i 1.31880i
\(695\) 19.1835 0.727671
\(696\) 3.59555 16.0664i 0.136289 0.608996i
\(697\) −2.56301 1.47975i −0.0970808 0.0560496i
\(698\) 8.41336 0.318450
\(699\) 2.36065 10.5484i 0.0892880 0.398976i
\(700\) 5.33030 + 9.11152i 0.201466 + 0.344383i
\(701\) 37.0012i 1.39751i −0.715359 0.698757i \(-0.753737\pi\)
0.715359 0.698757i \(-0.246263\pi\)
\(702\) −12.1978 14.2202i −0.460376 0.536707i
\(703\) −16.3392 9.43342i −0.616243 0.355788i
\(704\) 0.620619 0.0233905
\(705\) 0.0265726 + 0.0848688i 0.00100078 + 0.00319635i
\(706\) −17.1652 9.91033i −0.646021 0.372980i
\(707\) 13.2427 + 22.6369i 0.498044 + 0.851349i
\(708\) 5.10692 1.59899i 0.191930 0.0600936i
\(709\) 44.1230i 1.65707i −0.559934 0.828537i \(-0.689174\pi\)
0.559934 0.828537i \(-0.310826\pi\)
\(710\) −1.08276 0.625133i −0.0406354 0.0234608i
\(711\) 2.25763 1.56740i 0.0846678 0.0587819i
\(712\) 3.11782 + 1.80007i 0.116845 + 0.0674606i
\(713\) 6.11846 3.53250i 0.229138 0.132293i
\(714\) 1.53543 + 0.334404i 0.0574622 + 0.0125148i
\(715\) 1.68352 + 1.49124i 0.0629602 + 0.0557693i
\(716\) −16.9504 + 9.78634i −0.633467 + 0.365733i
\(717\) 35.7235 38.8292i 1.33412 1.45010i
\(718\) −0.222315 −0.00829672
\(719\) −19.4471 −0.725255 −0.362627 0.931934i \(-0.618120\pi\)
−0.362627 + 0.931934i \(0.618120\pi\)
\(720\) 3.00475 0.250780i 0.111980 0.00934601i
\(721\) 23.7110 + 13.5092i 0.883042 + 0.503109i
\(722\) 0.0901205 0.156093i 0.00335394 0.00580919i
\(723\) −9.62578 2.15418i −0.357987 0.0801149i
\(724\) −19.4258 + 11.2155i −0.721955 + 0.416821i
\(725\) 37.9250i 1.40850i
\(726\) 5.49354 + 17.5455i 0.203884 + 0.651175i
\(727\) 17.7877i 0.659708i 0.944032 + 0.329854i \(0.107000\pi\)
−0.944032 + 0.329854i \(0.893000\pi\)
\(728\) −6.28427 + 7.17690i −0.232911 + 0.265994i
\(729\) 6.67478 + 26.1619i 0.247214 + 0.968961i
\(730\) 7.76676 + 4.48414i 0.287461 + 0.165965i
\(731\) −0.413424 −0.0152910
\(732\) 2.52764 11.2946i 0.0934244 0.417459i
\(733\) 20.9177 + 36.2305i 0.772613 + 1.33820i 0.936126 + 0.351664i \(0.114384\pi\)
−0.163513 + 0.986541i \(0.552283\pi\)
\(734\) 11.6056 + 6.70049i 0.428370 + 0.247319i
\(735\) −9.06167 8.14735i −0.334245 0.300520i
\(736\) 2.82222i 0.104028i
\(737\) 3.40662i 0.125485i
\(738\) −25.8017 + 2.15344i −0.949774 + 0.0792691i
\(739\) 18.2237i 0.670371i −0.942152 0.335185i \(-0.891201\pi\)
0.942152 0.335185i \(-0.108799\pi\)
\(740\) 2.18553 + 3.78545i 0.0803416 + 0.139156i
\(741\) −24.7210 11.0834i −0.908149 0.407160i
\(742\) −11.0208 6.27904i −0.404586 0.230511i
\(743\) 16.0336 + 27.7710i 0.588216 + 1.01882i 0.994466 + 0.105058i \(0.0335027\pi\)
−0.406250 + 0.913762i \(0.633164\pi\)
\(744\) 1.29557 + 4.13784i 0.0474978 + 0.151701i
\(745\) −4.08412 + 2.35797i −0.149631 + 0.0863892i
\(746\) 3.97778 6.88972i 0.145637 0.252251i
\(747\) 39.5410 3.30013i 1.44673 0.120745i
\(748\) 0.106409 0.184307i 0.00389071 0.00673891i
\(749\) 0.222821 + 38.9338i 0.00814169 + 1.42261i
\(750\) 14.9348 4.67612i 0.545342 0.170748i
\(751\) −13.4845 + 23.3558i −0.492055 + 0.852264i −0.999958 0.00915004i \(-0.997087\pi\)
0.507903 + 0.861414i \(0.330421\pi\)
\(752\) 0.0510859i 0.00186291i
\(753\) 12.4507 + 39.7656i 0.453729 + 1.44914i
\(754\) 32.5076 10.8554i 1.18386 0.395330i
\(755\) −7.90216 −0.287589
\(756\) 12.7027 5.25754i 0.461992 0.191215i
\(757\) −15.4821 26.8158i −0.562706 0.974635i −0.997259 0.0739889i \(-0.976427\pi\)
0.434553 0.900646i \(-0.356906\pi\)
\(758\) 4.95838i 0.180097i
\(759\) −2.89514 + 0.906474i −0.105087 + 0.0329029i
\(760\) 3.77600 2.18008i 0.136970 0.0790797i
\(761\) 2.42155i 0.0877812i 0.999036 + 0.0438906i \(0.0139753\pi\)
−0.999036 + 0.0438906i \(0.986025\pi\)
\(762\) −6.54028 + 7.10888i −0.236930 + 0.257528i
\(763\) 0.271963 + 47.5206i 0.00984573 + 1.72036i
\(764\) −11.3808 + 6.57071i −0.411743 + 0.237720i
\(765\) 0.440711 0.935325i 0.0159339 0.0338167i
\(766\) 9.40956 + 5.43261i 0.339981 + 0.196288i
\(767\) 8.33883 + 7.38642i 0.301098 + 0.266708i
\(768\) 1.69024 + 0.378264i 0.0609913 + 0.0136494i
\(769\) −4.75805 8.24119i −0.171580 0.297185i 0.767393 0.641177i \(-0.221554\pi\)
−0.938972 + 0.343993i \(0.888220\pi\)
\(770\) −1.42448 + 0.833327i −0.0513345 + 0.0300310i
\(771\) 15.2857 + 48.8200i 0.550500 + 1.75821i
\(772\) −10.9286 + 6.30961i −0.393328 + 0.227088i
\(773\) −30.2147 + 17.4444i −1.08675 + 0.627433i −0.932708 0.360632i \(-0.882561\pi\)
−0.154037 + 0.988065i \(0.549228\pi\)
\(774\) −2.97103 + 2.06269i