Properties

Label 1110.2.ba.a.529.7
Level $1110$
Weight $2$
Character 1110.529
Analytic conductor $8.863$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 1110 = 2 \cdot 3 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1110.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(8.86339462436\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(18\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 529.7
Character \(\chi\) \(=\) 1110.529
Dual form 1110.2.ba.a.619.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 - 0.866025i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-0.00696233 + 2.23606i) q^{5} +1.00000i q^{6} +(3.60632 + 2.08211i) q^{7} +1.00000 q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(q+(-0.500000 - 0.866025i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-0.00696233 + 2.23606i) q^{5} +1.00000i q^{6} +(3.60632 + 2.08211i) q^{7} +1.00000 q^{8} +(0.500000 + 0.866025i) q^{9} +(1.93996 - 1.11200i) q^{10} +5.62355 q^{11} +(0.866025 - 0.500000i) q^{12} +(-2.80292 + 4.85480i) q^{13} -4.16422i q^{14} +(1.12406 - 1.93300i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(1.43213 + 2.48053i) q^{17} +(0.500000 - 0.866025i) q^{18} +(-5.16423 - 2.98157i) q^{19} +(-1.93300 - 1.12406i) q^{20} +(-2.08211 - 3.60632i) q^{21} +(-2.81177 - 4.87013i) q^{22} -6.24179 q^{23} +(-0.866025 - 0.500000i) q^{24} +(-4.99990 - 0.0311363i) q^{25} +5.60584 q^{26} -1.00000i q^{27} +(-3.60632 + 2.08211i) q^{28} +9.90800i q^{29} +(-2.23606 - 0.00696233i) q^{30} -4.33846i q^{31} +(-0.500000 + 0.866025i) q^{32} +(-4.87013 - 2.81177i) q^{33} +(1.43213 - 2.48053i) q^{34} +(-4.68082 + 8.04944i) q^{35} -1.00000 q^{36} +(-2.01692 - 5.73864i) q^{37} +5.96313i q^{38} +(4.85480 - 2.80292i) q^{39} +(-0.00696233 + 2.23606i) q^{40} +(-0.470733 + 0.815334i) q^{41} +(-2.08211 + 3.60632i) q^{42} +4.29505 q^{43} +(-2.81177 + 4.87013i) q^{44} +(-1.93996 + 1.11200i) q^{45} +(3.12090 + 5.40555i) q^{46} -0.365900i q^{47} +1.00000i q^{48} +(5.17035 + 8.95532i) q^{49} +(2.47299 + 4.34561i) q^{50} -2.86427i q^{51} +(-2.80292 - 4.85480i) q^{52} +(-3.87603 + 2.23783i) q^{53} +(-0.866025 + 0.500000i) q^{54} +(-0.0391530 + 12.5746i) q^{55} +(3.60632 + 2.08211i) q^{56} +(2.98157 + 5.16423i) q^{57} +(8.58058 - 4.95400i) q^{58} +(9.52048 - 5.49665i) q^{59} +(1.11200 + 1.93996i) q^{60} +(2.20880 + 1.27525i) q^{61} +(-3.75722 + 2.16923i) q^{62} +4.16422i q^{63} +1.00000 q^{64} +(-10.8361 - 6.30129i) q^{65} +5.62355i q^{66} +(1.92075 + 1.10894i) q^{67} -2.86427 q^{68} +(5.40555 + 3.12090i) q^{69} +(9.31143 + 0.0289927i) q^{70} +(-6.08527 + 10.5400i) q^{71} +(0.500000 + 0.866025i) q^{72} -11.5997i q^{73} +(-3.96135 + 4.61603i) q^{74} +(4.31447 + 2.52692i) q^{75} +(5.16423 - 2.98157i) q^{76} +(20.2803 + 11.7088i) q^{77} +(-4.85480 - 2.80292i) q^{78} +(-8.57325 - 4.94977i) q^{79} +(1.93996 - 1.11200i) q^{80} +(-0.500000 + 0.866025i) q^{81} +0.941466 q^{82} +(0.157099 - 0.0907014i) q^{83} +4.16422 q^{84} +(-5.55658 + 3.18506i) q^{85} +(-2.14753 - 3.71962i) q^{86} +(4.95400 - 8.58058i) q^{87} +5.62355 q^{88} +(-7.38304 + 4.26260i) q^{89} +(1.93300 + 1.12406i) q^{90} +(-20.2165 + 11.6720i) q^{91} +(3.12090 - 5.40555i) q^{92} +(-2.16923 + 3.75722i) q^{93} +(-0.316878 + 0.182950i) q^{94} +(6.70291 - 11.5267i) q^{95} +(0.866025 - 0.500000i) q^{96} -8.96250 q^{97} +(5.17035 - 8.95532i) q^{98} +(2.81177 + 4.87013i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 18q^{2} - 18q^{4} + 2q^{5} + 36q^{8} + 18q^{9} + O(q^{10}) \) \( 36q - 18q^{2} - 18q^{4} + 2q^{5} + 36q^{8} + 18q^{9} + 2q^{10} + 4q^{11} - 14q^{13} - 2q^{15} - 18q^{16} + 18q^{18} + 6q^{19} - 4q^{20} - 2q^{22} - 20q^{23} + 4q^{25} + 28q^{26} - 2q^{30} - 18q^{32} - 6q^{33} - 40q^{35} - 36q^{36} + 20q^{37} + 6q^{39} + 2q^{40} + 10q^{41} - 2q^{44} - 2q^{45} + 10q^{46} + 10q^{49} - 2q^{50} - 14q^{52} - 12q^{53} + 56q^{55} + 8q^{57} + 30q^{58} + 18q^{59} + 4q^{60} - 6q^{61} - 12q^{62} + 36q^{64} + 40q^{65} + 36q^{67} + 12q^{69} + 20q^{70} - 24q^{71} + 18q^{72} - 34q^{74} + 8q^{75} - 6q^{76} - 24q^{77} - 6q^{78} + 2q^{80} - 18q^{81} - 20q^{82} + 36q^{83} + 26q^{85} - 10q^{87} + 4q^{88} + 4q^{90} - 36q^{91} + 10q^{92} + 12q^{93} + 12q^{94} - 30q^{95} + 52q^{97} + 10q^{98} + 2q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1110\mathbb{Z}\right)^\times\).

\(n\) \(371\) \(631\) \(667\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 0.866025i −0.353553 0.612372i
\(3\) −0.866025 0.500000i −0.500000 0.288675i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) −0.00696233 + 2.23606i −0.00311365 + 0.999995i
\(6\) 1.00000i 0.408248i
\(7\) 3.60632 + 2.08211i 1.36306 + 0.786963i 0.990030 0.140856i \(-0.0449855\pi\)
0.373030 + 0.927819i \(0.378319\pi\)
\(8\) 1.00000 0.353553
\(9\) 0.500000 + 0.866025i 0.166667 + 0.288675i
\(10\) 1.93996 1.11200i 0.613470 0.351645i
\(11\) 5.62355 1.69556 0.847782 0.530346i \(-0.177938\pi\)
0.847782 + 0.530346i \(0.177938\pi\)
\(12\) 0.866025 0.500000i 0.250000 0.144338i
\(13\) −2.80292 + 4.85480i −0.777391 + 1.34648i 0.156050 + 0.987749i \(0.450124\pi\)
−0.933441 + 0.358731i \(0.883210\pi\)
\(14\) 4.16422i 1.11293i
\(15\) 1.12406 1.93300i 0.290231 0.499099i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 1.43213 + 2.48053i 0.347344 + 0.601617i 0.985777 0.168061i \(-0.0537504\pi\)
−0.638433 + 0.769677i \(0.720417\pi\)
\(18\) 0.500000 0.866025i 0.117851 0.204124i
\(19\) −5.16423 2.98157i −1.18475 0.684018i −0.227645 0.973744i \(-0.573103\pi\)
−0.957110 + 0.289726i \(0.906436\pi\)
\(20\) −1.93300 1.12406i −0.432232 0.251347i
\(21\) −2.08211 3.60632i −0.454353 0.786963i
\(22\) −2.81177 4.87013i −0.599472 1.03832i
\(23\) −6.24179 −1.30150 −0.650752 0.759291i \(-0.725546\pi\)
−0.650752 + 0.759291i \(0.725546\pi\)
\(24\) −0.866025 0.500000i −0.176777 0.102062i
\(25\) −4.99990 0.0311363i −0.999981 0.00622727i
\(26\) 5.60584 1.09940
\(27\) 1.00000i 0.192450i
\(28\) −3.60632 + 2.08211i −0.681530 + 0.393482i
\(29\) 9.90800i 1.83987i 0.392071 + 0.919935i \(0.371759\pi\)
−0.392071 + 0.919935i \(0.628241\pi\)
\(30\) −2.23606 0.00696233i −0.408246 0.00127114i
\(31\) 4.33846i 0.779210i −0.920982 0.389605i \(-0.872612\pi\)
0.920982 0.389605i \(-0.127388\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) −4.87013 2.81177i −0.847782 0.489467i
\(34\) 1.43213 2.48053i 0.245609 0.425407i
\(35\) −4.68082 + 8.04944i −0.791203 + 1.36060i
\(36\) −1.00000 −0.166667
\(37\) −2.01692 5.73864i −0.331580 0.943427i
\(38\) 5.96313i 0.967348i
\(39\) 4.85480 2.80292i 0.777391 0.448827i
\(40\) −0.00696233 + 2.23606i −0.00110084 + 0.353552i
\(41\) −0.470733 + 0.815334i −0.0735162 + 0.127334i −0.900440 0.434980i \(-0.856755\pi\)
0.826924 + 0.562314i \(0.190089\pi\)
\(42\) −2.08211 + 3.60632i −0.321276 + 0.556467i
\(43\) 4.29505 0.654989 0.327495 0.944853i \(-0.393796\pi\)
0.327495 + 0.944853i \(0.393796\pi\)
\(44\) −2.81177 + 4.87013i −0.423891 + 0.734200i
\(45\) −1.93996 + 1.11200i −0.289193 + 0.165767i
\(46\) 3.12090 + 5.40555i 0.460151 + 0.797005i
\(47\) 0.365900i 0.0533719i −0.999644 0.0266860i \(-0.991505\pi\)
0.999644 0.0266860i \(-0.00849542\pi\)
\(48\) 1.00000i 0.144338i
\(49\) 5.17035 + 8.95532i 0.738622 + 1.27933i
\(50\) 2.47299 + 4.34561i 0.349733 + 0.614562i
\(51\) 2.86427i 0.401078i
\(52\) −2.80292 4.85480i −0.388695 0.673240i
\(53\) −3.87603 + 2.23783i −0.532414 + 0.307390i −0.741999 0.670401i \(-0.766122\pi\)
0.209585 + 0.977790i \(0.432789\pi\)
\(54\) −0.866025 + 0.500000i −0.117851 + 0.0680414i
\(55\) −0.0391530 + 12.5746i −0.00527939 + 1.69555i
\(56\) 3.60632 + 2.08211i 0.481915 + 0.278233i
\(57\) 2.98157 + 5.16423i 0.394918 + 0.684018i
\(58\) 8.58058 4.95400i 1.12669 0.650492i
\(59\) 9.52048 5.49665i 1.23946 0.715603i 0.270477 0.962726i \(-0.412819\pi\)
0.968984 + 0.247123i \(0.0794853\pi\)
\(60\) 1.11200 + 1.93996i 0.143558 + 0.250448i
\(61\) 2.20880 + 1.27525i 0.282807 + 0.163279i 0.634694 0.772764i \(-0.281126\pi\)
−0.351886 + 0.936043i \(0.614460\pi\)
\(62\) −3.75722 + 2.16923i −0.477167 + 0.275492i
\(63\) 4.16422i 0.524642i
\(64\) 1.00000 0.125000
\(65\) −10.8361 6.30129i −1.34405 0.781579i
\(66\) 5.62355i 0.692211i
\(67\) 1.92075 + 1.10894i 0.234657 + 0.135479i 0.612718 0.790301i \(-0.290076\pi\)
−0.378062 + 0.925780i \(0.623409\pi\)
\(68\) −2.86427 −0.347344
\(69\) 5.40555 + 3.12090i 0.650752 + 0.375712i
\(70\) 9.31143 + 0.0289927i 1.11293 + 0.00346529i
\(71\) −6.08527 + 10.5400i −0.722189 + 1.25087i 0.237931 + 0.971282i \(0.423531\pi\)
−0.960121 + 0.279587i \(0.909803\pi\)
\(72\) 0.500000 + 0.866025i 0.0589256 + 0.102062i
\(73\) 11.5997i 1.35764i −0.734303 0.678822i \(-0.762491\pi\)
0.734303 0.678822i \(-0.237509\pi\)
\(74\) −3.96135 + 4.61603i −0.460498 + 0.536602i
\(75\) 4.31447 + 2.52692i 0.498193 + 0.291783i
\(76\) 5.16423 2.98157i 0.592377 0.342009i
\(77\) 20.2803 + 11.7088i 2.31115 + 1.33435i
\(78\) −4.85480 2.80292i −0.549698 0.317368i
\(79\) −8.57325 4.94977i −0.964566 0.556893i −0.0669909 0.997754i \(-0.521340\pi\)
−0.897575 + 0.440861i \(0.854673\pi\)
\(80\) 1.93996 1.11200i 0.216895 0.124325i
\(81\) −0.500000 + 0.866025i −0.0555556 + 0.0962250i
\(82\) 0.941466 0.103968
\(83\) 0.157099 0.0907014i 0.0172439 0.00995577i −0.491353 0.870960i \(-0.663498\pi\)
0.508597 + 0.861005i \(0.330164\pi\)
\(84\) 4.16422 0.454353
\(85\) −5.55658 + 3.18506i −0.602695 + 0.345469i
\(86\) −2.14753 3.71962i −0.231574 0.401097i
\(87\) 4.95400 8.58058i 0.531125 0.919935i
\(88\) 5.62355 0.599472
\(89\) −7.38304 + 4.26260i −0.782601 + 0.451835i −0.837351 0.546665i \(-0.815897\pi\)
0.0547504 + 0.998500i \(0.482564\pi\)
\(90\) 1.93300 + 1.12406i 0.203756 + 0.118486i
\(91\) −20.2165 + 11.6720i −2.11926 + 1.22356i
\(92\) 3.12090 5.40555i 0.325376 0.563568i
\(93\) −2.16923 + 3.75722i −0.224939 + 0.389605i
\(94\) −0.316878 + 0.182950i −0.0326835 + 0.0188698i
\(95\) 6.70291 11.5267i 0.687704 1.18262i
\(96\) 0.866025 0.500000i 0.0883883 0.0510310i
\(97\) −8.96250 −0.910004 −0.455002 0.890490i \(-0.650361\pi\)
−0.455002 + 0.890490i \(0.650361\pi\)
\(98\) 5.17035 8.95532i 0.522285 0.904623i
\(99\) 2.81177 + 4.87013i 0.282594 + 0.489467i
\(100\) 2.52692 4.31447i 0.252692 0.431447i
\(101\) 17.5745 1.74872 0.874362 0.485274i \(-0.161280\pi\)
0.874362 + 0.485274i \(0.161280\pi\)
\(102\) −2.48053 + 1.43213i −0.245609 + 0.141802i
\(103\) 4.83675 0.476579 0.238290 0.971194i \(-0.423413\pi\)
0.238290 + 0.971194i \(0.423413\pi\)
\(104\) −2.80292 + 4.85480i −0.274849 + 0.476053i
\(105\) 8.07843 4.63061i 0.788374 0.451901i
\(106\) 3.87603 + 2.23783i 0.376474 + 0.217357i
\(107\) 13.4925 + 7.78991i 1.30437 + 0.753079i 0.981150 0.193245i \(-0.0619013\pi\)
0.323220 + 0.946324i \(0.395235\pi\)
\(108\) 0.866025 + 0.500000i 0.0833333 + 0.0481125i
\(109\) −1.14051 + 0.658472i −0.109241 + 0.0630702i −0.553625 0.832766i \(-0.686756\pi\)
0.444384 + 0.895836i \(0.353423\pi\)
\(110\) 10.9095 6.25338i 1.04018 0.596236i
\(111\) −1.12262 + 5.97827i −0.106554 + 0.567432i
\(112\) 4.16422i 0.393482i
\(113\) 4.34832 + 7.53150i 0.409055 + 0.708504i 0.994784 0.102003i \(-0.0325250\pi\)
−0.585729 + 0.810507i \(0.699192\pi\)
\(114\) 2.98157 5.16423i 0.279249 0.483674i
\(115\) 0.0434574 13.9570i 0.00405243 1.30150i
\(116\) −8.58058 4.95400i −0.796687 0.459968i
\(117\) −5.60584 −0.518260
\(118\) −9.52048 5.49665i −0.876431 0.506008i
\(119\) 11.9274i 1.09339i
\(120\) 1.12406 1.93300i 0.102612 0.176458i
\(121\) 20.6243 1.87493
\(122\) 2.55050i 0.230911i
\(123\) 0.815334 0.470733i 0.0735162 0.0424446i
\(124\) 3.75722 + 2.16923i 0.337408 + 0.194803i
\(125\) 0.104434 11.1799i 0.00934083 0.999956i
\(126\) 3.60632 2.08211i 0.321276 0.185489i
\(127\) 6.46743 3.73397i 0.573892 0.331336i −0.184811 0.982774i \(-0.559167\pi\)
0.758702 + 0.651438i \(0.225834\pi\)
\(128\) −0.500000 0.866025i −0.0441942 0.0765466i
\(129\) −3.71962 2.14753i −0.327495 0.189079i
\(130\) −0.0390297 + 12.5350i −0.00342313 + 1.09939i
\(131\) −4.67400 + 2.69853i −0.408369 + 0.235772i −0.690089 0.723725i \(-0.742429\pi\)
0.281720 + 0.959497i \(0.409095\pi\)
\(132\) 4.87013 2.81177i 0.423891 0.244733i
\(133\) −12.4159 21.5050i −1.07659 1.86472i
\(134\) 2.21789i 0.191596i
\(135\) 2.23606 + 0.00696233i 0.192449 + 0.000599222i
\(136\) 1.43213 + 2.48053i 0.122805 + 0.212704i
\(137\) 3.45444i 0.295133i −0.989052 0.147566i \(-0.952856\pi\)
0.989052 0.147566i \(-0.0471440\pi\)
\(138\) 6.24179i 0.531337i
\(139\) 4.16178 + 7.20841i 0.352997 + 0.611409i 0.986773 0.162107i \(-0.0518291\pi\)
−0.633776 + 0.773517i \(0.718496\pi\)
\(140\) −4.63061 8.07843i −0.391358 0.682752i
\(141\) −0.182950 + 0.316878i −0.0154072 + 0.0266860i
\(142\) 12.1705 1.02133
\(143\) −15.7624 + 27.3012i −1.31811 + 2.28304i
\(144\) 0.500000 0.866025i 0.0416667 0.0721688i
\(145\) −22.1549 0.0689828i −1.83986 0.00572871i
\(146\) −10.0456 + 5.79986i −0.831384 + 0.480000i
\(147\) 10.3407i 0.852887i
\(148\) 5.97827 + 1.12262i 0.491411 + 0.0922786i
\(149\) 9.40193 0.770236 0.385118 0.922867i \(-0.374161\pi\)
0.385118 + 0.922867i \(0.374161\pi\)
\(150\) 0.0311363 4.99990i 0.00254227 0.408240i
\(151\) −5.42704 + 9.39991i −0.441646 + 0.764954i −0.997812 0.0661176i \(-0.978939\pi\)
0.556165 + 0.831072i \(0.312272\pi\)
\(152\) −5.16423 2.98157i −0.418874 0.241837i
\(153\) −1.43213 + 2.48053i −0.115781 + 0.200539i
\(154\) 23.4177i 1.88705i
\(155\) 9.70104 + 0.0302058i 0.779206 + 0.00242619i
\(156\) 5.60584i 0.448827i
\(157\) −13.0906 + 7.55789i −1.04475 + 0.603185i −0.921174 0.389150i \(-0.872769\pi\)
−0.123573 + 0.992335i \(0.539435\pi\)
\(158\) 9.89954i 0.787565i
\(159\) 4.47566 0.354943
\(160\) −1.93300 1.12406i −0.152817 0.0888646i
\(161\) −22.5099 12.9961i −1.77403 1.02424i
\(162\) 1.00000 0.0785674
\(163\) 2.95761 + 5.12274i 0.231658 + 0.401244i 0.958296 0.285777i \(-0.0922516\pi\)
−0.726638 + 0.687020i \(0.758918\pi\)
\(164\) −0.470733 0.815334i −0.0367581 0.0636669i
\(165\) 6.32119 10.8703i 0.492104 0.846253i
\(166\) −0.157099 0.0907014i −0.0121933 0.00703979i
\(167\) 3.04743 5.27831i 0.235817 0.408448i −0.723692 0.690123i \(-0.757557\pi\)
0.959510 + 0.281675i \(0.0908899\pi\)
\(168\) −2.08211 3.60632i −0.160638 0.278233i
\(169\) −9.21274 15.9569i −0.708672 1.22746i
\(170\) 5.53664 + 3.21961i 0.424641 + 0.246932i
\(171\) 5.96313i 0.456012i
\(172\) −2.14753 + 3.71962i −0.163747 + 0.283619i
\(173\) −6.21546 + 3.58850i −0.472552 + 0.272828i −0.717308 0.696757i \(-0.754626\pi\)
0.244755 + 0.969585i \(0.421292\pi\)
\(174\) −9.90800 −0.751124
\(175\) −17.9664 10.5226i −1.35813 0.795436i
\(176\) −2.81177 4.87013i −0.211945 0.367100i
\(177\) −10.9933 −0.826307
\(178\) 7.38304 + 4.26260i 0.553382 + 0.319495i
\(179\) 22.6831i 1.69541i −0.530465 0.847707i \(-0.677983\pi\)
0.530465 0.847707i \(-0.322017\pi\)
\(180\) 0.00696233 2.23606i 0.000518942 0.166666i
\(181\) −5.95683 + 10.3175i −0.442768 + 0.766896i −0.997894 0.0648700i \(-0.979337\pi\)
0.555126 + 0.831766i \(0.312670\pi\)
\(182\) 20.2165 + 11.6720i 1.49854 + 0.865184i
\(183\) −1.27525 2.20880i −0.0942691 0.163279i
\(184\) −6.24179 −0.460151
\(185\) 12.8460 4.46999i 0.944455 0.328641i
\(186\) 4.33846 0.318111
\(187\) 8.05368 + 13.9494i 0.588943 + 1.02008i
\(188\) 0.316878 + 0.182950i 0.0231107 + 0.0133430i
\(189\) 2.08211 3.60632i 0.151451 0.262321i
\(190\) −13.3339 0.0415173i −0.967343 0.00301198i
\(191\) 23.9424i 1.73241i 0.499690 + 0.866204i \(0.333447\pi\)
−0.499690 + 0.866204i \(0.666553\pi\)
\(192\) −0.866025 0.500000i −0.0625000 0.0360844i
\(193\) 16.1408 1.16184 0.580919 0.813961i \(-0.302693\pi\)
0.580919 + 0.813961i \(0.302693\pi\)
\(194\) 4.48125 + 7.76175i 0.321735 + 0.557261i
\(195\) 6.23369 + 10.8751i 0.446404 + 0.778784i
\(196\) −10.3407 −0.738622
\(197\) 21.2832 12.2879i 1.51637 0.875475i 0.516551 0.856256i \(-0.327216\pi\)
0.999815 0.0192182i \(-0.00611772\pi\)
\(198\) 2.81177 4.87013i 0.199824 0.346105i
\(199\) 17.4958i 1.24025i 0.784505 + 0.620123i \(0.212917\pi\)
−0.784505 + 0.620123i \(0.787083\pi\)
\(200\) −4.99990 0.0311363i −0.353547 0.00220167i
\(201\) −1.10894 1.92075i −0.0782189 0.135479i
\(202\) −8.78723 15.2199i −0.618267 1.07087i
\(203\) −20.6295 + 35.7314i −1.44791 + 2.50785i
\(204\) 2.48053 + 1.43213i 0.173672 + 0.100269i
\(205\) −1.81986 1.05826i −0.127104 0.0739123i
\(206\) −2.41837 4.18875i −0.168496 0.291844i
\(207\) −3.12090 5.40555i −0.216917 0.375712i
\(208\) 5.60584 0.388695
\(209\) −29.0413 16.7670i −2.00883 1.15980i
\(210\) −8.04944 4.68082i −0.555464 0.323007i
\(211\) 28.4494 1.95854 0.979268 0.202571i \(-0.0649297\pi\)
0.979268 + 0.202571i \(0.0649297\pi\)
\(212\) 4.47566i 0.307390i
\(213\) 10.5400 6.08527i 0.722189 0.416956i
\(214\) 15.5798i 1.06501i
\(215\) −0.0299036 + 9.60398i −0.00203941 + 0.654986i
\(216\) 1.00000i 0.0680414i
\(217\) 9.03314 15.6459i 0.613210 1.06211i
\(218\) 1.14051 + 0.658472i 0.0772449 + 0.0445974i
\(219\) −5.79986 + 10.0456i −0.391918 + 0.678822i
\(220\) −10.8703 6.32119i −0.732877 0.426175i
\(221\) −16.0566 −1.08009
\(222\) 5.73864 2.01692i 0.385153 0.135367i
\(223\) 2.89406i 0.193800i −0.995294 0.0969002i \(-0.969107\pi\)
0.995294 0.0969002i \(-0.0308928\pi\)
\(224\) −3.60632 + 2.08211i −0.240957 + 0.139117i
\(225\) −2.47299 4.34561i −0.164866 0.289707i
\(226\) 4.34832 7.53150i 0.289246 0.500988i
\(227\) −2.39517 + 4.14855i −0.158973 + 0.275349i −0.934499 0.355967i \(-0.884152\pi\)
0.775526 + 0.631316i \(0.217485\pi\)
\(228\) −5.96313 −0.394918
\(229\) −0.352183 + 0.609999i −0.0232729 + 0.0403099i −0.877427 0.479710i \(-0.840742\pi\)
0.854154 + 0.520020i \(0.174075\pi\)
\(230\) −12.1088 + 6.94087i −0.798434 + 0.457667i
\(231\) −11.7088 20.2803i −0.770385 1.33435i
\(232\) 9.90800i 0.650492i
\(233\) 15.4170i 1.01000i −0.863118 0.505002i \(-0.831492\pi\)
0.863118 0.505002i \(-0.168508\pi\)
\(234\) 2.80292 + 4.85480i 0.183233 + 0.317368i
\(235\) 0.818172 + 0.00254751i 0.0533717 + 0.000166181i
\(236\) 10.9933i 0.715603i
\(237\) 4.94977 + 8.57325i 0.321522 + 0.556893i
\(238\) 10.3295 5.96372i 0.669560 0.386571i
\(239\) −6.13569 + 3.54245i −0.396885 + 0.229142i −0.685139 0.728412i \(-0.740259\pi\)
0.288254 + 0.957554i \(0.406925\pi\)
\(240\) −2.23606 0.00696233i −0.144337 0.000449417i
\(241\) −19.6742 11.3589i −1.26733 0.731692i −0.292846 0.956160i \(-0.594602\pi\)
−0.974481 + 0.224468i \(0.927936\pi\)
\(242\) −10.3121 17.8611i −0.662889 1.14816i
\(243\) 0.866025 0.500000i 0.0555556 0.0320750i
\(244\) −2.20880 + 1.27525i −0.141404 + 0.0816395i
\(245\) −20.0606 + 11.4989i −1.28162 + 0.734635i
\(246\) −0.815334 0.470733i −0.0519838 0.0300128i
\(247\) 28.9498 16.7142i 1.84203 1.06350i
\(248\) 4.33846i 0.275492i
\(249\) −0.181403 −0.0114959
\(250\) −9.73425 + 5.49948i −0.615648 + 0.347818i
\(251\) 0.437029i 0.0275850i 0.999905 + 0.0137925i \(0.00439043\pi\)
−0.999905 + 0.0137925i \(0.995610\pi\)
\(252\) −3.60632 2.08211i −0.227177 0.131161i
\(253\) −35.1010 −2.20678
\(254\) −6.46743 3.73397i −0.405803 0.234290i
\(255\) 6.40467 + 0.0199420i 0.401076 + 0.00124882i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 2.17930 + 3.77465i 0.135941 + 0.235456i 0.925956 0.377630i \(-0.123261\pi\)
−0.790016 + 0.613087i \(0.789928\pi\)
\(258\) 4.29505i 0.267398i
\(259\) 4.67482 24.8948i 0.290479 1.54689i
\(260\) 10.8751 6.23369i 0.674447 0.386597i
\(261\) −8.58058 + 4.95400i −0.531125 + 0.306645i
\(262\) 4.67400 + 2.69853i 0.288761 + 0.166716i
\(263\) 24.8970 + 14.3743i 1.53522 + 0.886358i 0.999109 + 0.0422094i \(0.0134396\pi\)
0.536109 + 0.844149i \(0.319894\pi\)
\(264\) −4.87013 2.81177i −0.299736 0.173053i
\(265\) −4.97693 8.68262i −0.305730 0.533369i
\(266\) −12.4159 + 21.5050i −0.761267 + 1.31855i
\(267\) 8.52520 0.521734
\(268\) −1.92075 + 1.10894i −0.117328 + 0.0677395i
\(269\) 2.96047 0.180503 0.0902516 0.995919i \(-0.471233\pi\)
0.0902516 + 0.995919i \(0.471233\pi\)
\(270\) −1.11200 1.93996i −0.0676741 0.118062i
\(271\) −5.51239 9.54773i −0.334854 0.579983i 0.648603 0.761127i \(-0.275354\pi\)
−0.983457 + 0.181143i \(0.942020\pi\)
\(272\) 1.43213 2.48053i 0.0868359 0.150404i
\(273\) 23.3440 1.41284
\(274\) −2.99163 + 1.72722i −0.180731 + 0.104345i
\(275\) −28.1172 0.175097i −1.69553 0.0105587i
\(276\) −5.40555 + 3.12090i −0.325376 + 0.187856i
\(277\) 5.97624 10.3511i 0.359077 0.621940i −0.628730 0.777624i \(-0.716425\pi\)
0.987807 + 0.155684i \(0.0497581\pi\)
\(278\) 4.16178 7.20841i 0.249607 0.432332i
\(279\) 3.75722 2.16923i 0.224939 0.129868i
\(280\) −4.68082 + 8.04944i −0.279733 + 0.481046i
\(281\) 4.75144 2.74325i 0.283447 0.163648i −0.351536 0.936174i \(-0.614340\pi\)
0.634983 + 0.772526i \(0.281007\pi\)
\(282\) 0.365900 0.0217890
\(283\) 5.73565 9.93443i 0.340949 0.590541i −0.643660 0.765311i \(-0.722585\pi\)
0.984609 + 0.174771i \(0.0559184\pi\)
\(284\) −6.08527 10.5400i −0.361095 0.625434i
\(285\) −11.5683 + 6.63100i −0.685245 + 0.392787i
\(286\) 31.5247 1.86410
\(287\) −3.39523 + 1.96024i −0.200414 + 0.115709i
\(288\) −1.00000 −0.0589256
\(289\) 4.39798 7.61753i 0.258705 0.448090i
\(290\) 11.0177 + 19.2212i 0.646981 + 1.12871i
\(291\) 7.76175 + 4.48125i 0.455002 + 0.262695i
\(292\) 10.0456 + 5.79986i 0.587877 + 0.339411i
\(293\) −8.60014 4.96530i −0.502426 0.290076i 0.227289 0.973827i \(-0.427014\pi\)
−0.729715 + 0.683752i \(0.760347\pi\)
\(294\) −8.95532 + 5.17035i −0.522285 + 0.301541i
\(295\) 12.2245 + 21.3266i 0.711740 + 1.24168i
\(296\) −2.01692 5.73864i −0.117231 0.333552i
\(297\) 5.62355i 0.326311i
\(298\) −4.70096 8.14231i −0.272320 0.471671i
\(299\) 17.4953 30.3027i 1.01178 1.75245i
\(300\) −4.34561 + 2.47299i −0.250894 + 0.142778i
\(301\) 15.4893 + 8.94276i 0.892790 + 0.515452i
\(302\) 10.8541 0.624582
\(303\) −15.2199 8.78723i −0.874362 0.504813i
\(304\) 5.96313i 0.342009i
\(305\) −2.86691 + 4.93012i −0.164159 + 0.282298i
\(306\) 2.86427 0.163739
\(307\) 1.24701i 0.0711705i −0.999367 0.0355852i \(-0.988670\pi\)
0.999367 0.0355852i \(-0.0113295\pi\)
\(308\) −20.2803 + 11.7088i −1.15558 + 0.667173i
\(309\) −4.18875 2.41837i −0.238290 0.137577i
\(310\) −4.82436 8.41645i −0.274005 0.478022i
\(311\) −7.15158 + 4.12897i −0.405529 + 0.234132i −0.688867 0.724888i \(-0.741892\pi\)
0.283338 + 0.959020i \(0.408558\pi\)
\(312\) 4.85480 2.80292i 0.274849 0.158684i
\(313\) −0.958252 1.65974i −0.0541636 0.0938141i 0.837672 0.546173i \(-0.183916\pi\)
−0.891836 + 0.452359i \(0.850583\pi\)
\(314\) 13.0906 + 7.55789i 0.738748 + 0.426516i
\(315\) −9.31143 0.0289927i −0.524640 0.00163355i
\(316\) 8.57325 4.94977i 0.482283 0.278446i
\(317\) 1.54711 0.893227i 0.0868946 0.0501686i −0.455923 0.890019i \(-0.650691\pi\)
0.542818 + 0.839851i \(0.317357\pi\)
\(318\) −2.23783 3.87603i −0.125491 0.217357i
\(319\) 55.7181i 3.11962i
\(320\) −0.00696233 + 2.23606i −0.000389206 + 0.124999i
\(321\) −7.78991 13.4925i −0.434790 0.753079i
\(322\) 25.9922i 1.44849i
\(323\) 17.0800i 0.950358i
\(324\) −0.500000 0.866025i −0.0277778 0.0481125i
\(325\) 14.1655 24.1863i 0.785760 1.34161i
\(326\) 2.95761 5.12274i 0.163807 0.283722i
\(327\) 1.31694 0.0728272
\(328\) −0.470733 + 0.815334i −0.0259919 + 0.0450193i
\(329\) 0.761843 1.31955i 0.0420017 0.0727492i
\(330\) −12.5746 0.0391530i −0.692207 0.00215530i
\(331\) 12.2666 7.08211i 0.674232 0.389268i −0.123446 0.992351i \(-0.539395\pi\)
0.797678 + 0.603083i \(0.206061\pi\)
\(332\) 0.181403i 0.00995577i
\(333\) 3.96135 4.61603i 0.217081 0.252957i
\(334\) −6.09487 −0.333496
\(335\) −2.49304 + 4.28718i −0.136209 + 0.234234i
\(336\) −2.08211 + 3.60632i −0.113588 + 0.196741i
\(337\) 8.49393 + 4.90397i 0.462694 + 0.267136i 0.713176 0.700985i \(-0.247256\pi\)
−0.250482 + 0.968121i \(0.580589\pi\)
\(338\) −9.21274 + 15.9569i −0.501107 + 0.867943i
\(339\) 8.69663i 0.472336i
\(340\) 0.0199420 6.40467i 0.00108151 0.347342i
\(341\) 24.3975i 1.32120i
\(342\) −5.16423 + 2.98157i −0.279249 + 0.161225i
\(343\) 13.9114i 0.751147i
\(344\) 4.29505 0.231574
\(345\) −7.01614 + 12.0654i −0.377736 + 0.649579i
\(346\) 6.21546 + 3.58850i 0.334145 + 0.192919i
\(347\) 22.5282 1.20938 0.604688 0.796463i \(-0.293298\pi\)
0.604688 + 0.796463i \(0.293298\pi\)
\(348\) 4.95400 + 8.58058i 0.265562 + 0.459968i
\(349\) −0.142907 0.247523i −0.00764965 0.0132496i 0.862175 0.506610i \(-0.169102\pi\)
−0.869825 + 0.493361i \(0.835768\pi\)
\(350\) −0.129659 + 20.8207i −0.00693054 + 1.11291i
\(351\) 4.85480 + 2.80292i 0.259130 + 0.149609i
\(352\) −2.81177 + 4.87013i −0.149868 + 0.259579i
\(353\) −8.58970 14.8778i −0.457184 0.791865i 0.541627 0.840619i \(-0.317808\pi\)
−0.998811 + 0.0487534i \(0.984475\pi\)
\(354\) 5.49665 + 9.52048i 0.292144 + 0.506008i
\(355\) −23.5257 13.6804i −1.24861 0.726081i
\(356\) 8.52520i 0.451835i
\(357\) 5.96372 10.3295i 0.315634 0.546693i
\(358\) −19.6441 + 11.3415i −1.03822 + 0.599419i
\(359\) 7.99692 0.422061 0.211031 0.977479i \(-0.432318\pi\)
0.211031 + 0.977479i \(0.432318\pi\)
\(360\) −1.93996 + 1.11200i −0.102245 + 0.0586075i
\(361\) 8.27949 + 14.3405i 0.435762 + 0.754763i
\(362\) 11.9137 0.626168
\(363\) −17.8611 10.3121i −0.937467 0.541247i
\(364\) 23.3440i 1.22356i
\(365\) 25.9376 + 0.0807611i 1.35764 + 0.00422723i
\(366\) −1.27525 + 2.20880i −0.0666583 + 0.115456i
\(367\) −20.1521 11.6348i −1.05193 0.607332i −0.128741 0.991678i \(-0.541093\pi\)
−0.923189 + 0.384347i \(0.874427\pi\)
\(368\) 3.12090 + 5.40555i 0.162688 + 0.281784i
\(369\) −0.941466 −0.0490108
\(370\) −10.2941 8.88995i −0.535166 0.462166i
\(371\) −18.6376 −0.967617
\(372\) −2.16923 3.75722i −0.112469 0.194803i
\(373\) −19.6815 11.3631i −1.01907 0.588360i −0.105235 0.994447i \(-0.533560\pi\)
−0.913834 + 0.406087i \(0.866893\pi\)
\(374\) 8.05368 13.9494i 0.416446 0.721305i
\(375\) −5.68037 + 9.62982i −0.293333 + 0.497282i
\(376\) 0.365900i 0.0188698i
\(377\) −48.1014 27.7714i −2.47735 1.43030i
\(378\) −4.16422 −0.214184
\(379\) −11.1432 19.3005i −0.572386 0.991402i −0.996320 0.0857086i \(-0.972685\pi\)
0.423934 0.905693i \(-0.360649\pi\)
\(380\) 6.63100 + 11.5683i 0.340163 + 0.593439i
\(381\) −7.46795 −0.382594
\(382\) 20.7347 11.9712i 1.06088 0.612499i
\(383\) 4.33722 7.51229i 0.221622 0.383860i −0.733679 0.679496i \(-0.762198\pi\)
0.955301 + 0.295636i \(0.0955317\pi\)
\(384\) 1.00000i 0.0510310i
\(385\) −26.3228 + 45.2664i −1.34154 + 2.30699i
\(386\) −8.07038 13.9783i −0.410772 0.711477i
\(387\) 2.14753 + 3.71962i 0.109165 + 0.189079i
\(388\) 4.48125 7.76175i 0.227501 0.394043i
\(389\) 32.7509 + 18.9088i 1.66054 + 0.958712i 0.972458 + 0.233077i \(0.0748794\pi\)
0.688080 + 0.725635i \(0.258454\pi\)
\(390\) 6.30129 10.8361i 0.319078 0.548707i
\(391\) −8.93909 15.4829i −0.452069 0.783006i
\(392\) 5.17035 + 8.95532i 0.261142 + 0.452312i
\(393\) 5.39707 0.272246
\(394\) −21.2832 12.2879i −1.07223 0.619054i
\(395\) 11.1277 19.1358i 0.559893 0.962828i
\(396\) −5.62355 −0.282594
\(397\) 26.0656i 1.30819i 0.756411 + 0.654097i \(0.226951\pi\)
−0.756411 + 0.654097i \(0.773049\pi\)
\(398\) 15.1518 8.74791i 0.759492 0.438493i
\(399\) 24.8318i 1.24314i
\(400\) 2.47299 + 4.34561i 0.123649 + 0.217281i
\(401\) 8.98577i 0.448728i −0.974505 0.224364i \(-0.927970\pi\)
0.974505 0.224364i \(-0.0720305\pi\)
\(402\) −1.10894 + 1.92075i −0.0553091 + 0.0957982i
\(403\) 21.0624 + 12.1604i 1.04919 + 0.605751i
\(404\) −8.78723 + 15.2199i −0.437181 + 0.757220i
\(405\) −1.93300 1.12406i −0.0960516 0.0558549i
\(406\) 41.2591 2.04765
\(407\) −11.3422 32.2715i −0.562214 1.59964i
\(408\) 2.86427i 0.141802i
\(409\) 4.54148 2.62202i 0.224561 0.129651i −0.383499 0.923541i \(-0.625281\pi\)
0.608061 + 0.793891i \(0.291948\pi\)
\(410\) −0.00655480 + 2.10517i −0.000323719 + 0.103967i
\(411\) −1.72722 + 2.99163i −0.0851974 + 0.147566i
\(412\) −2.41837 + 4.18875i −0.119145 + 0.206365i
\(413\) 45.7785 2.25261
\(414\) −3.12090 + 5.40555i −0.153384 + 0.265668i
\(415\) 0.201720 + 0.351915i 0.00990203 + 0.0172748i
\(416\) −2.80292 4.85480i −0.137425 0.238026i
\(417\) 8.32355i 0.407606i
\(418\) 33.5340i 1.64020i
\(419\) 4.82659 + 8.35990i 0.235794 + 0.408408i 0.959503 0.281698i \(-0.0908975\pi\)
−0.723709 + 0.690105i \(0.757564\pi\)
\(420\) −0.0289927 + 9.31143i −0.00141470 + 0.454351i
\(421\) 2.40440i 0.117183i −0.998282 0.0585916i \(-0.981339\pi\)
0.998282 0.0585916i \(-0.0186610\pi\)
\(422\) −14.2247 24.6379i −0.692447 1.19935i
\(423\) 0.316878 0.182950i 0.0154072 0.00889532i
\(424\) −3.87603 + 2.23783i −0.188237 + 0.108679i
\(425\) −7.08330 12.4470i −0.343590 0.603768i
\(426\) −10.5400 6.08527i −0.510665 0.294833i
\(427\) 5.31041 + 9.19791i 0.256989 + 0.445118i
\(428\) −13.4925 + 7.78991i −0.652185 + 0.376539i
\(429\) 27.3012 15.7624i 1.31811 0.761014i
\(430\) 8.33224 4.77609i 0.401816 0.230324i
\(431\) −21.2626 12.2760i −1.02418 0.591313i −0.108871 0.994056i \(-0.534724\pi\)
−0.915313 + 0.402742i \(0.868057\pi\)
\(432\) −0.866025 + 0.500000i −0.0416667 + 0.0240563i
\(433\) 24.7803i 1.19087i 0.803405 + 0.595433i \(0.203020\pi\)
−0.803405 + 0.595433i \(0.796980\pi\)
\(434\) −18.0663 −0.867209
\(435\) 19.1522 + 11.1372i 0.918277 + 0.533987i
\(436\) 1.31694i 0.0630702i
\(437\) 32.2340 + 18.6103i 1.54196 + 0.890252i
\(438\) 11.5997 0.554256
\(439\) 23.1393 + 13.3595i 1.10438 + 0.637614i 0.937368 0.348341i \(-0.113255\pi\)
0.167012 + 0.985955i \(0.446588\pi\)
\(440\) −0.0391530 + 12.5746i −0.00186655 + 0.599469i
\(441\) −5.17035 + 8.95532i −0.246207 + 0.426444i
\(442\) 8.02832 + 13.9055i 0.381868 + 0.661415i
\(443\) 18.4378i 0.876008i −0.898973 0.438004i \(-0.855686\pi\)
0.898973 0.438004i \(-0.144314\pi\)
\(444\) −4.61603 3.96135i −0.219067 0.187997i
\(445\) −9.48002 16.5386i −0.449396 0.784004i
\(446\) −2.50633 + 1.44703i −0.118678 + 0.0685188i
\(447\) −8.14231 4.70096i −0.385118 0.222348i
\(448\) 3.60632 + 2.08211i 0.170383 + 0.0983704i
\(449\) 29.6975 + 17.1459i 1.40151 + 0.809164i 0.994548 0.104280i \(-0.0332539\pi\)
0.406965 + 0.913444i \(0.366587\pi\)
\(450\) −2.52692 + 4.31447i −0.119120 + 0.203386i
\(451\) −2.64719 + 4.58507i −0.124651 + 0.215902i
\(452\) −8.69663 −0.409055
\(453\) 9.39991 5.42704i 0.441646 0.254985i
\(454\) 4.79034 0.224822
\(455\) −25.9584 45.2864i −1.21695 2.12306i
\(456\) 2.98157 + 5.16423i 0.139625 + 0.241837i
\(457\) 12.2911 21.2888i 0.574954 0.995849i −0.421093 0.907018i \(-0.638353\pi\)
0.996047 0.0888317i \(-0.0283133\pi\)
\(458\) 0.704366 0.0329129
\(459\) 2.48053 1.43213i 0.115781 0.0668463i
\(460\) 12.0654 + 7.01614i 0.562552 + 0.327129i
\(461\) −9.81068 + 5.66420i −0.456929 + 0.263808i −0.710752 0.703443i \(-0.751645\pi\)
0.253823 + 0.967251i \(0.418312\pi\)
\(462\) −11.7088 + 20.2803i −0.544744 + 0.943525i
\(463\) −0.261365 + 0.452698i −0.0121467 + 0.0210387i −0.872035 0.489444i \(-0.837200\pi\)
0.859888 + 0.510482i \(0.170533\pi\)
\(464\) 8.58058 4.95400i 0.398344 0.229984i
\(465\) −8.38624 4.87668i −0.388903 0.226151i
\(466\) −13.3515 + 7.70852i −0.618498 + 0.357090i
\(467\) 1.75438 0.0811830 0.0405915 0.999176i \(-0.487076\pi\)
0.0405915 + 0.999176i \(0.487076\pi\)
\(468\) 2.80292 4.85480i 0.129565 0.224413i
\(469\) 4.61788 + 7.99841i 0.213234 + 0.369332i
\(470\) −0.406880 0.709832i −0.0187680 0.0327421i
\(471\) 15.1158 0.696498
\(472\) 9.52048 5.49665i 0.438216 0.253004i
\(473\) 24.1534 1.11058
\(474\) 4.94977 8.57325i 0.227350 0.393783i
\(475\) 25.7278 + 15.0683i 1.18047 + 0.691383i
\(476\) −10.3295 5.96372i −0.473450 0.273347i
\(477\) −3.87603 2.23783i −0.177471 0.102463i
\(478\) 6.13569 + 3.54245i 0.280640 + 0.162028i
\(479\) −14.0589 + 8.11691i −0.642368 + 0.370871i −0.785526 0.618829i \(-0.787608\pi\)
0.143158 + 0.989700i \(0.454274\pi\)
\(480\) 1.11200 + 1.93996i 0.0507556 + 0.0885468i
\(481\) 33.5133 + 6.29322i 1.52807 + 0.286946i
\(482\) 22.7178i 1.03477i
\(483\) 12.9961 + 22.5099i 0.591342 + 1.02424i
\(484\) −10.3121 + 17.8611i −0.468734 + 0.811870i
\(485\) 0.0623999 20.0407i 0.00283343 0.909999i
\(486\) −0.866025 0.500000i −0.0392837 0.0226805i
\(487\) −27.4494 −1.24385 −0.621927 0.783076i \(-0.713650\pi\)
−0.621927 + 0.783076i \(0.713650\pi\)
\(488\) 2.20880 + 1.27525i 0.0999875 + 0.0577278i
\(489\) 5.91523i 0.267496i
\(490\) 19.9886 + 11.6236i 0.902993 + 0.525099i
\(491\) 24.9786 1.12727 0.563634 0.826024i \(-0.309403\pi\)
0.563634 + 0.826024i \(0.309403\pi\)
\(492\) 0.941466i 0.0424446i
\(493\) −24.5771 + 14.1896i −1.10690 + 0.639067i
\(494\) −28.9498 16.7142i −1.30251 0.752007i
\(495\) −10.9095 + 6.25338i −0.490344 + 0.281068i
\(496\) −3.75722 + 2.16923i −0.168704 + 0.0974013i
\(497\) −43.8909 + 25.3404i −1.96877 + 1.13667i
\(498\) 0.0907014 + 0.157099i 0.00406443 + 0.00703979i
\(499\) 8.21385 + 4.74227i 0.367702 + 0.212293i 0.672454 0.740139i \(-0.265240\pi\)
−0.304752 + 0.952432i \(0.598574\pi\)
\(500\) 9.62982 + 5.68037i 0.430659 + 0.254034i
\(501\) −5.27831 + 3.04743i −0.235817 + 0.136149i
\(502\) 0.378478 0.218514i 0.0168923 0.00975278i
\(503\) 2.11396 + 3.66149i 0.0942569 + 0.163258i 0.909298 0.416145i \(-0.136619\pi\)
−0.815041 + 0.579403i \(0.803286\pi\)
\(504\) 4.16422i 0.185489i
\(505\) −0.122359 + 39.2975i −0.00544491 + 1.74872i
\(506\) 17.5505 + 30.3984i 0.780215 + 1.35137i
\(507\) 18.4255i 0.818304i
\(508\) 7.46795i 0.331336i
\(509\) 11.0937 + 19.2149i 0.491721 + 0.851685i 0.999955 0.00953382i \(-0.00303475\pi\)
−0.508234 + 0.861219i \(0.669701\pi\)
\(510\) −3.18506 5.55658i −0.141037 0.246049i
\(511\) 24.1519 41.8323i 1.06842 1.85055i
\(512\) 1.00000 0.0441942
\(513\) −2.98157 + 5.16423i −0.131639 + 0.228006i
\(514\) 2.17930 3.77465i 0.0961246 0.166493i
\(515\) −0.0336750 + 10.8152i −0.00148390 + 0.476577i
\(516\) 3.71962 2.14753i 0.163747 0.0945395i
\(517\) 2.05765i 0.0904955i
\(518\) −23.8970 + 8.39889i −1.04997 + 0.369026i
\(519\) 7.17699 0.315035
\(520\) −10.8361 6.30129i −0.475194 0.276330i
\(521\) 1.06382 1.84258i 0.0466066 0.0807250i −0.841781 0.539819i \(-0.818493\pi\)
0.888388 + 0.459094i \(0.151826\pi\)
\(522\) 8.58058 + 4.95400i 0.375562 + 0.216831i
\(523\) −2.71184 + 4.69705i −0.118581 + 0.205388i −0.919205 0.393778i \(-0.871168\pi\)
0.800625 + 0.599166i \(0.204501\pi\)
\(524\) 5.39707i 0.235772i
\(525\) 10.2981 + 18.0961i 0.449444 + 0.789777i
\(526\) 28.7486i 1.25350i
\(527\) 10.7617 6.21326i 0.468786 0.270654i
\(528\) 5.62355i 0.244733i
\(529\) 15.9600 0.693911
\(530\) −5.03090 + 8.65145i −0.218528 + 0.375795i
\(531\) 9.52048 + 5.49665i 0.413154 + 0.238534i
\(532\) 24.8318 1.07659
\(533\) −2.63886 4.57063i −0.114302 0.197976i
\(534\) −4.26260 7.38304i −0.184461 0.319495i
\(535\) −17.5126 + 30.1158i −0.757136 + 1.30202i
\(536\) 1.92075 + 1.10894i 0.0829637 + 0.0478991i
\(537\) −11.3415 + 19.6441i −0.489424 + 0.847707i
\(538\) −1.48024 2.56384i −0.0638175 0.110535i
\(539\) 29.0757 + 50.3606i 1.25238 + 2.16919i
\(540\) −1.12406 + 1.93300i −0.0483718 + 0.0831831i
\(541\) 7.00976i 0.301373i −0.988582 0.150687i \(-0.951852\pi\)
0.988582 0.150687i \(-0.0481484\pi\)
\(542\) −5.51239 + 9.54773i −0.236777 + 0.410110i
\(543\) 10.3175 5.95683i 0.442768 0.255632i
\(544\) −2.86427 −0.122805
\(545\) −1.46444 2.55482i −0.0627298 0.109437i
\(546\) −11.6720 20.2165i −0.499514 0.865184i
\(547\) 9.68332 0.414029 0.207014 0.978338i \(-0.433625\pi\)
0.207014 + 0.978338i \(0.433625\pi\)
\(548\) 2.99163 + 1.72722i 0.127796 + 0.0737832i
\(549\) 2.55050i 0.108853i
\(550\) 13.9070 + 24.4377i 0.592995 + 1.04203i
\(551\) 29.5414 51.1672i 1.25851 2.17979i
\(552\) 5.40555 + 3.12090i 0.230075 + 0.132834i
\(553\) −20.6119 35.7009i −0.876508 1.51816i
\(554\) −11.9525 −0.507812
\(555\) −13.3599 2.55186i −0.567098 0.108320i
\(556\) −8.32355 −0.352997
\(557\) −7.32173 12.6816i −0.310232 0.537337i 0.668181 0.743999i \(-0.267073\pi\)
−0.978412 + 0.206662i \(0.933740\pi\)
\(558\) −3.75722 2.16923i −0.159056 0.0918308i
\(559\) −12.0387 + 20.8516i −0.509182 + 0.881930i
\(560\) 9.31143 + 0.0289927i 0.393480 + 0.00122516i
\(561\) 16.1074i 0.680053i
\(562\) −4.75144 2.74325i −0.200428 0.115717i
\(563\) −38.3820 −1.61761 −0.808804 0.588079i \(-0.799885\pi\)
−0.808804 + 0.588079i \(0.799885\pi\)
\(564\) −0.182950 0.316878i −0.00770358 0.0133430i
\(565\) −16.8711 + 9.67065i −0.709775 + 0.406847i
\(566\) −11.4713 −0.482174
\(567\) −3.60632 + 2.08211i −0.151451 + 0.0874403i
\(568\) −6.08527 + 10.5400i −0.255332 + 0.442249i
\(569\) 18.5086i 0.775922i −0.921676 0.387961i \(-0.873180\pi\)
0.921676 0.387961i \(-0.126820\pi\)
\(570\) 11.5267 + 6.70291i 0.482802 + 0.280754i
\(571\) 13.3669 + 23.1522i 0.559389 + 0.968890i 0.997548 + 0.0699920i \(0.0222974\pi\)
−0.438159 + 0.898898i \(0.644369\pi\)
\(572\) −15.7624 27.3012i −0.659057 1.14152i
\(573\) 11.9712 20.7347i 0.500103 0.866204i
\(574\) 3.39523 + 1.96024i 0.141714 + 0.0818186i
\(575\) 31.2084 + 0.194347i 1.30148 + 0.00810481i
\(576\) 0.500000 + 0.866025i 0.0208333 + 0.0360844i
\(577\) 3.16251 + 5.47763i 0.131657 + 0.228037i 0.924315 0.381629i \(-0.124637\pi\)
−0.792658 + 0.609666i \(0.791304\pi\)
\(578\) −8.79596 −0.365864
\(579\) −13.9783 8.07038i −0.580919 0.335394i
\(580\) 11.1372 19.1522i 0.462446 0.795251i
\(581\) 0.755401 0.0313393
\(582\) 8.96250i 0.371507i
\(583\) −21.7971 + 12.5845i −0.902742 + 0.521198i
\(584\) 11.5997i 0.480000i
\(585\) 0.0390297 12.5350i 0.00161368 0.518258i
\(586\) 9.93059i 0.410229i
\(587\) −7.49315 + 12.9785i −0.309276 + 0.535681i −0.978204 0.207646i \(-0.933420\pi\)
0.668929 + 0.743327i \(0.266753\pi\)
\(588\) 8.95532 + 5.17035i 0.369311 + 0.213222i
\(589\) −12.9354 + 22.4048i −0.532994 + 0.923173i
\(590\) 12.3571 21.2501i 0.508734 0.874851i
\(591\) −24.5757 −1.01091
\(592\) −3.96135 + 4.61603i −0.162811 + 0.189718i
\(593\) 17.7229i 0.727791i −0.931440 0.363896i \(-0.881446\pi\)
0.931440 0.363896i \(-0.118554\pi\)
\(594\) −4.87013 + 2.81177i −0.199824 + 0.115368i
\(595\) −26.6704 0.0830428i −1.09338 0.00340442i
\(596\) −4.70096 + 8.14231i −0.192559 + 0.333522i
\(597\) 8.74791 15.1518i 0.358028 0.620123i
\(598\) −34.9905 −1.43087
\(599\) −16.2008 + 28.0606i −0.661946 + 1.14652i 0.318158 + 0.948038i \(0.396936\pi\)
−0.980104 + 0.198486i \(0.936397\pi\)
\(600\) 4.31447 + 2.52692i 0.176138 + 0.103161i
\(601\) 16.3395 + 28.3009i 0.666502 + 1.15442i 0.978876 + 0.204456i \(0.0655427\pi\)
−0.312373 + 0.949959i \(0.601124\pi\)
\(602\) 17.8855i 0.728960i
\(603\) 2.21789i 0.0903194i
\(604\) −5.42704 9.39991i −0.220823 0.382477i
\(605\) −0.143593 + 46.1171i −0.00583789 + 1.87493i
\(606\) 17.5745i 0.713914i
\(607\) −10.4901 18.1695i −0.425782 0.737476i 0.570711 0.821151i \(-0.306668\pi\)
−0.996493 + 0.0836749i \(0.973334\pi\)
\(608\) 5.16423 2.98157i 0.209437 0.120919i
\(609\) 35.7314 20.6295i 1.44791 0.835951i
\(610\) 5.70306 + 0.0177574i 0.230910 + 0.000718977i
\(611\) 1.77637 + 1.02559i 0.0718642 + 0.0414908i
\(612\) −1.43213 2.48053i −0.0578906 0.100269i
\(613\) 18.1752 10.4935i 0.734090 0.423827i −0.0858268 0.996310i \(-0.527353\pi\)
0.819916 + 0.572483i \(0.194020\pi\)
\(614\) −1.07994 + 0.623504i −0.0435828 + 0.0251626i
\(615\) 1.04691 + 1.82641i 0.0422155 + 0.0736480i
\(616\) 20.2803 + 11.7088i 0.817116 + 0.471762i
\(617\) 27.7087 15.9976i 1.11551 0.644040i 0.175259 0.984522i \(-0.443924\pi\)
0.940251 + 0.340482i \(0.110590\pi\)
\(618\) 4.83675i 0.194563i
\(619\) −25.6784 −1.03210 −0.516051 0.856558i \(-0.672598\pi\)
−0.516051 + 0.856558i \(0.672598\pi\)
\(620\) −4.87668 + 8.38624i −0.195852 + 0.336800i
\(621\) 6.24179i 0.250474i
\(622\) 7.15158 + 4.12897i 0.286752 + 0.165556i
\(623\) −35.5008 −1.42231
\(624\) −4.85480 2.80292i −0.194348 0.112207i
\(625\) 24.9981 + 0.311357i 0.999922 + 0.0124543i
\(626\) −0.958252 + 1.65974i −0.0382995 + 0.0663366i
\(627\) 16.7670 + 29.0413i 0.669609 + 1.15980i
\(628\) 15.1158i 0.603185i
\(629\) 11.3464 13.2215i 0.452410 0.527177i
\(630\) 4.63061 + 8.07843i 0.184488 + 0.321852i
\(631\) 5.85446 3.38007i 0.233062 0.134559i −0.378922 0.925429i \(-0.623705\pi\)
0.611984 + 0.790870i \(0.290372\pi\)
\(632\) −8.57325 4.94977i −0.341026 0.196891i
\(633\) −24.6379 14.2247i −0.979268 0.565380i
\(634\) −1.54711 0.893227i −0.0614437 0.0354746i
\(635\) 8.30435 + 14.4875i 0.329548 + 0.574921i
\(636\) −2.23783 + 3.87603i −0.0887357 + 0.153695i
\(637\) −57.9684 −2.29679
\(638\) 48.2533 27.8591i 1.91037 1.10295i
\(639\) −12.1705 −0.481460
\(640\) 1.93996 1.11200i 0.0766838 0.0439556i
\(641\) 0.980805 + 1.69880i 0.0387395 + 0.0670987i 0.884745 0.466075i \(-0.154332\pi\)
−0.846006 + 0.533174i \(0.820999\pi\)
\(642\) −7.78991 + 13.4925i −0.307443 + 0.532507i
\(643\) 44.4122 1.75145 0.875723 0.482814i \(-0.160385\pi\)
0.875723 + 0.482814i \(0.160385\pi\)
\(644\) 22.5099 12.9961i 0.887014 0.512118i
\(645\) 4.82789 8.30234i 0.190098 0.326904i
\(646\) −14.7917 + 8.54001i −0.581973 + 0.336002i
\(647\) 10.0345 17.3803i 0.394499 0.683292i −0.598538 0.801094i \(-0.704252\pi\)
0.993037 + 0.117802i \(0.0375850\pi\)
\(648\) −0.500000 + 0.866025i −0.0196419 + 0.0340207i
\(649\) 53.5389 30.9107i 2.10158 1.21335i
\(650\) −28.0287 0.174545i −1.09937 0.00684624i
\(651\) −15.6459 + 9.03314i −0.613210 + 0.354037i
\(652\) −5.91523 −0.231658
\(653\) 5.72293 9.91240i 0.223955 0.387902i −0.732050 0.681251i \(-0.761436\pi\)
0.956006 + 0.293349i \(0.0947696\pi\)
\(654\) −0.658472 1.14051i −0.0257483 0.0445974i
\(655\) −6.00153 10.4701i −0.234499 0.409101i
\(656\) 0.941466 0.0367581
\(657\) 10.0456 5.79986i 0.391918 0.226274i
\(658\) −1.52369 −0.0593994
\(659\) −1.70920 + 2.96042i −0.0665809 + 0.115321i −0.897394 0.441230i \(-0.854542\pi\)
0.830813 + 0.556551i \(0.187876\pi\)
\(660\) 6.25338 + 10.9095i 0.243412 + 0.424651i
\(661\) −6.13183 3.54021i −0.238501 0.137698i 0.375987 0.926625i \(-0.377304\pi\)
−0.614487 + 0.788927i \(0.710637\pi\)
\(662\) −12.2666 7.08211i −0.476754 0.275254i
\(663\) 13.9055 + 8.02832i 0.540043 + 0.311794i
\(664\) 0.157099 0.0907014i 0.00609664 0.00351990i
\(665\) 48.1728 27.6129i 1.86806 1.07078i
\(666\) −5.97827 1.12262i −0.231653 0.0435006i
\(667\) 61.8437i 2.39460i
\(668\) 3.04743 + 5.27831i 0.117909 + 0.204224i
\(669\) −1.44703 + 2.50633i −0.0559454 + 0.0969002i
\(670\) 4.95932 + 0.0154417i 0.191595 + 0.000596564i
\(671\) 12.4213 + 7.17142i 0.479518 + 0.276850i
\(672\) 4.16422 0.160638
\(673\) −12.4022 7.16039i −0.478068 0.276013i 0.241543 0.970390i \(-0.422347\pi\)
−0.719611 + 0.694377i \(0.755680\pi\)
\(674\) 9.80795i 0.377788i
\(675\) −0.0311363 + 4.99990i −0.00119844 + 0.192446i
\(676\) 18.4255 0.708672
\(677\) 30.6482i 1.17791i 0.808167 + 0.588954i \(0.200460\pi\)
−0.808167 + 0.588954i \(0.799540\pi\)
\(678\) −7.53150 + 4.34832i −0.289246 + 0.166996i
\(679\) −32.3216 18.6609i −1.24039 0.716139i
\(680\) −5.55658 + 3.18506i −0.213085 + 0.122142i
\(681\) 4.14855 2.39517i 0.158973 0.0917830i
\(682\) −21.1289 + 12.1988i −0.809066 + 0.467115i
\(683\) 15.3305 + 26.5531i 0.586604 + 1.01603i 0.994673 + 0.103077i \(0.0328688\pi\)
−0.408069 + 0.912951i \(0.633798\pi\)
\(684\) 5.16423 + 2.98157i 0.197459 + 0.114003i
\(685\) 7.72432 + 0.0240509i 0.295131 + 0.000918939i
\(686\) 12.0477 6.95572i 0.459982 0.265570i
\(687\) 0.609999 0.352183i 0.0232729 0.0134366i
\(688\) −2.14753 3.71962i −0.0818737 0.141809i
\(689\) 25.0898i 0.955847i
\(690\) 13.9570 + 0.0434574i 0.531334 + 0.00165440i
\(691\) 0.00956990 + 0.0165756i 0.000364056 + 0.000630564i 0.866207 0.499685i \(-0.166551\pi\)
−0.865843 + 0.500315i \(0.833217\pi\)
\(692\) 7.17699i 0.272828i
\(693\) 23.4177i 0.889564i
\(694\) −11.2641 19.5100i −0.427579 0.740588i
\(695\) −16.1474 + 9.25578i −0.612505 + 0.351092i
\(696\) 4.95400 8.58058i 0.187781 0.325246i
\(697\) −2.69661 −0.102141
\(698\) −0.142907 + 0.247523i −0.00540912 + 0.00936887i
\(699\) −7.70852 + 13.3515i −0.291563 + 0.505002i
\(700\) 18.0961 10.2981i 0.683967 0.389230i
\(701\) 5.55582 3.20765i 0.209840 0.121151i −0.391397 0.920222i \(-0.628008\pi\)
0.601237 + 0.799071i \(0.294675\pi\)
\(702\) 5.60584i 0.211579i
\(703\) −6.69432 + 35.6492i −0.252481 + 1.34454i
\(704\) 5.62355 0.211945
\(705\) −0.707284 0.411292i −0.0266379 0.0154902i
\(706\) −8.58970 + 14.8778i −0.323278 + 0.559933i
\(707\) 63.3791 + 36.5919i 2.38362 + 1.37618i
\(708\) 5.49665 9.52048i 0.206577 0.357802i
\(709\) 1.36253i 0.0511709i −0.999673 0.0255855i \(-0.991855\pi\)
0.999673 0.0255855i \(-0.00814500\pi\)
\(710\) −0.0847354 + 27.2140i −0.00318006 + 1.02132i
\(711\) 9.89954i 0.371262i
\(712\) −7.38304 + 4.26260i −0.276691 + 0.159748i
\(713\) 27.0798i 1.01414i
\(714\) −11.9274 −0.446373
\(715\) −60.9373 35.4356i −2.27893 1.32522i
\(716\) 19.6441 + 11.3415i 0.734136 + 0.423853i
\(717\) 7.08489 0.264590
\(718\) −3.99846 6.92553i −0.149221 0.258459i
\(719\) −3.32757 5.76353i −0.124098 0.214943i 0.797282 0.603607i \(-0.206270\pi\)
−0.921380 + 0.388663i \(0.872937\pi\)
\(720\) 1.93300 + 1.12406i 0.0720387 + 0.0418912i
\(721\) 17.4429 + 10.0706i 0.649606 + 0.375050i
\(722\) 8.27949 14.3405i 0.308131 0.533698i
\(723\) 11.3589 + 19.6742i 0.422442 + 0.731692i
\(724\) −5.95683 10.3175i −0.221384 0.383448i
\(725\) 0.308499 49.5391i 0.0114574 1.83983i
\(726\) 20.6243i 0.765439i
\(727\) 10.7619 18.6402i 0.399137 0.691325i −0.594483 0.804108i \(-0.702643\pi\)
0.993620 + 0.112783i \(0.0359766\pi\)
\(728\) −20.2165 + 11.6720i −0.749272 + 0.432592i
\(729\) −1.00000 −0.0370370
\(730\) −12.8989 22.5030i −0.477409 0.832874i
\(731\) 6.15109 + 10.6540i 0.227506 + 0.394053i
\(732\) 2.55050 0.0942691
\(733\) 28.2518 + 16.3112i 1.04350 + 0.602467i 0.920824 0.389979i \(-0.127518\pi\)
0.122680 + 0.992446i \(0.460851\pi\)
\(734\) 23.2696i 0.858897i
\(735\) 23.1224 + 0.0719954i 0.852883 + 0.00265559i
\(736\) 3.12090 5.40555i 0.115038 0.199251i
\(737\) 10.8014 + 6.23620i 0.397875 + 0.229713i
\(738\) 0.470733 + 0.815334i 0.0173279 + 0.0300128i
\(739\) −43.8641 −1.61357 −0.806783 0.590848i \(-0.798793\pi\)
−0.806783 + 0.590848i \(0.798793\pi\)
\(740\) −2.55186 + 13.3599i −0.0938082 + 0.491121i
\(741\) −33.4284 −1.22802
\(742\) 9.31881 + 16.1407i 0.342104 + 0.592542i
\(743\) −6.39472 3.69199i −0.234599 0.135446i 0.378093 0.925768i \(-0.376580\pi\)
−0.612692 + 0.790322i \(0.709913\pi\)
\(744\) −2.16923 + 3.75722i −0.0795278 + 0.137746i
\(745\) −0.0654593 + 21.0233i −0.00239824 + 0.770232i
\(746\) 22.7262i 0.832067i
\(747\) 0.157099 + 0.0907014i 0.00574797 + 0.00331859i
\(748\) −16.1074 −0.588943
\(749\) 32.4389 + 56.1858i 1.18529 + 2.05298i
\(750\) 11.1799 + 0.104434i 0.408230 + 0.00381338i
\(751\) 11.2599 0.410881 0.205440 0.978670i \(-0.434137\pi\)
0.205440 + 0.978670i \(0.434137\pi\)
\(752\) −0.316878 + 0.182950i −0.0115554 + 0.00667149i
\(753\) 0.218514 0.378478i 0.00796311 0.0137925i
\(754\) 55.5427i 2.02275i
\(755\) −20.9810 12.2006i −0.763575 0.444026i
\(756\) 2.08211 + 3.60632i 0.0757256 + 0.131161i
\(757\) 14.2380 + 24.6609i 0.517489 + 0.896317i 0.999794 + 0.0203136i \(0.00646647\pi\)
−0.482305 + 0.876004i \(0.660200\pi\)
\(758\) −11.1432 + 19.3005i −0.404738 + 0.701027i
\(759\) 30.3984 + 17.5505i 1.10339 + 0.637043i
\(760\) 6.70291 11.5267i 0.243140 0.418119i
\(761\) −6.86663 11.8934i −0.248915 0.431134i 0.714310 0.699829i \(-0.246741\pi\)
−0.963225 + 0.268696i \(0.913407\pi\)
\(762\) 3.73397 + 6.46743i 0.135268 + 0.234290i
\(763\) −5.48404 −0.198536
\(764\) −20.7347 11.9712i −0.750155 0.433102i
\(765\) −5.53664 3.21961i −0.200177 0.116405i
\(766\) −8.67444 −0.313420
\(767\) 61.6267i 2.22521i
\(768\) 0.866025 0.500000i 0.0312500 0.0180422i
\(769\) 45.5375i 1.64212i 0.570840 + 0.821061i \(0.306618\pi\)
−0.570840 + 0.821061i \(0.693382\pi\)
\(770\) 52.3633 + 0.163042i 1.88704 + 0.00587561i
\(771\) 4.35859i 0.156971i
\(772\) −8.07038 + 13.9783i −0.290459 + 0.503090i
\(773\) −39.5623 22.8413i −1.42296 0.821545i −0.426407 0.904532i \(-0.640221\pi\)
−0.996551 + 0.0829869i \(0.973554\pi\)
\(774\) 2.14753 3.71962i 0.0771912 0.133699i
\(775\) −0.135084 + 21.6919i −0.00485235 + 0.779195i
\(776\) −8.96250 −0.321735
\(777\)