Properties

Label 546.2.j.d.529.4
Level $546$
Weight $2$
Character 546.529
Analytic conductor $4.360$
Analytic rank $0$
Dimension $8$
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.j (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(4\) over \(\Q(\zeta_{3})\)
Coefficient field: 8.0.447703281.1
Defining polynomial: \(x^{8} - x^{7} - 2 x^{6} + 2 x^{5} + 3 x^{4} + 4 x^{3} - 8 x^{2} - 8 x + 16\)
Coefficient ring: \(\Z[a_1, \ldots, a_{13}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 529.4
Root \(1.19003 + 0.764088i\) of defining polynomial
Character \(\chi\) \(=\) 546.529
Dual form 546.2.j.d.289.4

$q$-expansion

\(f(q)\) \(=\) \(q+1.00000 q^{2} +(0.500000 + 0.866025i) q^{3} +1.00000 q^{4} +(2.05781 + 3.56422i) q^{5} +(0.500000 + 0.866025i) q^{6} +(-2.61442 + 0.405935i) q^{7} +1.00000 q^{8} +(-0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(q+1.00000 q^{2} +(0.500000 + 0.866025i) q^{3} +1.00000 q^{4} +(2.05781 + 3.56422i) q^{5} +(0.500000 + 0.866025i) q^{6} +(-2.61442 + 0.405935i) q^{7} +1.00000 q^{8} +(-0.500000 + 0.866025i) q^{9} +(2.05781 + 3.56422i) q^{10} +(-2.02237 - 3.50284i) q^{11} +(0.500000 + 0.866025i) q^{12} +(1.81454 + 3.11568i) q^{13} +(-2.61442 + 0.405935i) q^{14} +(-2.05781 + 3.56422i) q^{15} +1.00000 q^{16} +0.715381 q^{17} +(-0.500000 + 0.866025i) q^{18} +(1.92440 - 3.33315i) q^{19} +(2.05781 + 3.56422i) q^{20} +(-1.65876 - 2.06119i) q^{21} +(-2.02237 - 3.50284i) q^{22} -4.09781 q^{23} +(0.500000 + 0.866025i) q^{24} +(-5.96913 + 10.3388i) q^{25} +(1.81454 + 3.11568i) q^{26} -1.00000 q^{27} +(-2.61442 + 0.405935i) q^{28} +(4.50457 - 7.80214i) q^{29} +(-2.05781 + 3.56422i) q^{30} +(1.82642 - 3.16346i) q^{31} +1.00000 q^{32} +(2.02237 - 3.50284i) q^{33} +0.715381 q^{34} +(-6.82682 - 8.48306i) q^{35} +(-0.500000 + 0.866025i) q^{36} +7.19594 q^{37} +(1.92440 - 3.33315i) q^{38} +(-1.79099 + 3.12928i) q^{39} +(2.05781 + 3.56422i) q^{40} +(-2.88423 + 4.99563i) q^{41} +(-1.65876 - 2.06119i) q^{42} +(1.28209 + 2.22064i) q^{43} +(-2.02237 - 3.50284i) q^{44} -4.11561 q^{45} -4.09781 q^{46} +(1.28800 + 2.23088i) q^{47} +(0.500000 + 0.866025i) q^{48} +(6.67043 - 2.12257i) q^{49} +(-5.96913 + 10.3388i) q^{50} +(0.357690 + 0.619538i) q^{51} +(1.81454 + 3.11568i) q^{52} +(-1.35888 + 2.35365i) q^{53} -1.00000 q^{54} +(8.32328 - 14.4163i) q^{55} +(-2.61442 + 0.405935i) q^{56} +3.84879 q^{57} +(4.50457 - 7.80214i) q^{58} +12.9027 q^{59} +(-2.05781 + 3.56422i) q^{60} +(4.71538 - 8.16728i) q^{61} +(1.82642 - 3.16346i) q^{62} +(0.955663 - 2.46713i) q^{63} +1.00000 q^{64} +(-7.37100 + 12.8789i) q^{65} +(2.02237 - 3.50284i) q^{66} +(0.583158 + 1.01006i) q^{67} +0.715381 q^{68} +(-2.04891 - 3.54881i) q^{69} +(-6.82682 - 8.48306i) q^{70} +(5.10254 + 8.83786i) q^{71} +(-0.500000 + 0.866025i) q^{72} +(-1.25673 + 2.17673i) q^{73} +7.19594 q^{74} -11.9383 q^{75} +(1.92440 - 3.33315i) q^{76} +(6.70925 + 8.33697i) q^{77} +(-1.79099 + 3.12928i) q^{78} +(-6.70468 - 11.6129i) q^{79} +(2.05781 + 3.56422i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(-2.88423 + 4.99563i) q^{82} -15.5024 q^{83} +(-1.65876 - 2.06119i) q^{84} +(1.47212 + 2.54978i) q^{85} +(1.28209 + 2.22064i) q^{86} +9.00914 q^{87} +(-2.02237 - 3.50284i) q^{88} -10.9137 q^{89} -4.11561 q^{90} +(-6.00874 - 7.40912i) q^{91} -4.09781 q^{92} +3.65285 q^{93} +(1.28800 + 2.23088i) q^{94} +15.8401 q^{95} +(0.500000 + 0.866025i) q^{96} +(-3.10135 - 5.37170i) q^{97} +(6.67043 - 2.12257i) q^{98} +4.04474 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q + 8q^{2} + 4q^{3} + 8q^{4} + 2q^{5} + 4q^{6} - 3q^{7} + 8q^{8} - 4q^{9} + O(q^{10}) \) \( 8q + 8q^{2} + 4q^{3} + 8q^{4} + 2q^{5} + 4q^{6} - 3q^{7} + 8q^{8} - 4q^{9} + 2q^{10} - 6q^{11} + 4q^{12} - 11q^{13} - 3q^{14} - 2q^{15} + 8q^{16} - 8q^{17} - 4q^{18} + 6q^{19} + 2q^{20} - 3q^{21} - 6q^{22} + 20q^{23} + 4q^{24} - 18q^{25} - 11q^{26} - 8q^{27} - 3q^{28} + 2q^{29} - 2q^{30} + 6q^{31} + 8q^{32} + 6q^{33} - 8q^{34} - 18q^{35} - 4q^{36} + 56q^{37} + 6q^{38} - 10q^{39} + 2q^{40} - 3q^{42} - 6q^{43} - 6q^{44} - 4q^{45} + 20q^{46} + q^{47} + 4q^{48} + 5q^{49} - 18q^{50} - 4q^{51} - 11q^{52} + 7q^{53} - 8q^{54} + q^{55} - 3q^{56} + 12q^{57} + 2q^{58} - 4q^{59} - 2q^{60} + 24q^{61} + 6q^{62} + 8q^{64} + 22q^{65} + 6q^{66} - 15q^{67} - 8q^{68} + 10q^{69} - 18q^{70} + 6q^{71} - 4q^{72} + q^{73} + 56q^{74} - 36q^{75} + 6q^{76} - 22q^{77} - 10q^{78} - 12q^{79} + 2q^{80} - 4q^{81} - 32q^{83} - 3q^{84} - 13q^{85} - 6q^{86} + 4q^{87} - 6q^{88} - 50q^{89} - 4q^{90} - 8q^{91} + 20q^{92} + 12q^{93} + q^{94} + 16q^{95} + 4q^{96} - q^{97} + 5q^{98} + 12q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.00000 0.707107
\(3\) 0.500000 + 0.866025i 0.288675 + 0.500000i
\(4\) 1.00000 0.500000
\(5\) 2.05781 + 3.56422i 0.920279 + 1.59397i 0.798983 + 0.601353i \(0.205372\pi\)
0.121296 + 0.992616i \(0.461295\pi\)
\(6\) 0.500000 + 0.866025i 0.204124 + 0.353553i
\(7\) −2.61442 + 0.405935i −0.988160 + 0.153429i
\(8\) 1.00000 0.353553
\(9\) −0.500000 + 0.866025i −0.166667 + 0.288675i
\(10\) 2.05781 + 3.56422i 0.650735 + 1.12711i
\(11\) −2.02237 3.50284i −0.609767 1.05615i −0.991279 0.131783i \(-0.957930\pi\)
0.381512 0.924364i \(-0.375404\pi\)
\(12\) 0.500000 + 0.866025i 0.144338 + 0.250000i
\(13\) 1.81454 + 3.11568i 0.503263 + 0.864133i
\(14\) −2.61442 + 0.405935i −0.698734 + 0.108491i
\(15\) −2.05781 + 3.56422i −0.531323 + 0.920279i
\(16\) 1.00000 0.250000
\(17\) 0.715381 0.173505 0.0867527 0.996230i \(-0.472351\pi\)
0.0867527 + 0.996230i \(0.472351\pi\)
\(18\) −0.500000 + 0.866025i −0.117851 + 0.204124i
\(19\) 1.92440 3.33315i 0.441487 0.764677i −0.556313 0.830973i \(-0.687785\pi\)
0.997800 + 0.0662953i \(0.0211179\pi\)
\(20\) 2.05781 + 3.56422i 0.460139 + 0.796985i
\(21\) −1.65876 2.06119i −0.361972 0.449789i
\(22\) −2.02237 3.50284i −0.431170 0.746809i
\(23\) −4.09781 −0.854453 −0.427227 0.904145i \(-0.640509\pi\)
−0.427227 + 0.904145i \(0.640509\pi\)
\(24\) 0.500000 + 0.866025i 0.102062 + 0.176777i
\(25\) −5.96913 + 10.3388i −1.19383 + 2.06777i
\(26\) 1.81454 + 3.11568i 0.355861 + 0.611035i
\(27\) −1.00000 −0.192450
\(28\) −2.61442 + 0.405935i −0.494080 + 0.0767145i
\(29\) 4.50457 7.80214i 0.836478 1.44882i −0.0563442 0.998411i \(-0.517944\pi\)
0.892822 0.450410i \(-0.148722\pi\)
\(30\) −2.05781 + 3.56422i −0.375702 + 0.650735i
\(31\) 1.82642 3.16346i 0.328035 0.568174i −0.654087 0.756420i \(-0.726947\pi\)
0.982122 + 0.188246i \(0.0602802\pi\)
\(32\) 1.00000 0.176777
\(33\) 2.02237 3.50284i 0.352049 0.609767i
\(34\) 0.715381 0.122687
\(35\) −6.82682 8.48306i −1.15394 1.43390i
\(36\) −0.500000 + 0.866025i −0.0833333 + 0.144338i
\(37\) 7.19594 1.18301 0.591503 0.806303i \(-0.298535\pi\)
0.591503 + 0.806303i \(0.298535\pi\)
\(38\) 1.92440 3.33315i 0.312178 0.540709i
\(39\) −1.79099 + 3.12928i −0.286787 + 0.501085i
\(40\) 2.05781 + 3.56422i 0.325368 + 0.563553i
\(41\) −2.88423 + 4.99563i −0.450441 + 0.780187i −0.998413 0.0563098i \(-0.982067\pi\)
0.547972 + 0.836496i \(0.315400\pi\)
\(42\) −1.65876 2.06119i −0.255953 0.318049i
\(43\) 1.28209 + 2.22064i 0.195516 + 0.338644i 0.947070 0.321028i \(-0.104028\pi\)
−0.751553 + 0.659672i \(0.770695\pi\)
\(44\) −2.02237 3.50284i −0.304883 0.528074i
\(45\) −4.11561 −0.613519
\(46\) −4.09781 −0.604190
\(47\) 1.28800 + 2.23088i 0.187874 + 0.325408i 0.944541 0.328393i \(-0.106507\pi\)
−0.756667 + 0.653800i \(0.773174\pi\)
\(48\) 0.500000 + 0.866025i 0.0721688 + 0.125000i
\(49\) 6.67043 2.12257i 0.952919 0.303225i
\(50\) −5.96913 + 10.3388i −0.844163 + 1.46213i
\(51\) 0.357690 + 0.619538i 0.0500867 + 0.0867527i
\(52\) 1.81454 + 3.11568i 0.251631 + 0.432067i
\(53\) −1.35888 + 2.35365i −0.186656 + 0.323298i −0.944133 0.329564i \(-0.893098\pi\)
0.757477 + 0.652862i \(0.226432\pi\)
\(54\) −1.00000 −0.136083
\(55\) 8.32328 14.4163i 1.12231 1.94390i
\(56\) −2.61442 + 0.405935i −0.349367 + 0.0542453i
\(57\) 3.84879 0.509785
\(58\) 4.50457 7.80214i 0.591479 1.02447i
\(59\) 12.9027 1.67978 0.839892 0.542754i \(-0.182618\pi\)
0.839892 + 0.542754i \(0.182618\pi\)
\(60\) −2.05781 + 3.56422i −0.265662 + 0.460139i
\(61\) 4.71538 8.16728i 0.603743 1.04571i −0.388506 0.921446i \(-0.627009\pi\)
0.992249 0.124267i \(-0.0396579\pi\)
\(62\) 1.82642 3.16346i 0.231956 0.401760i
\(63\) 0.955663 2.46713i 0.120402 0.310829i
\(64\) 1.00000 0.125000
\(65\) −7.37100 + 12.8789i −0.914260 + 1.59743i
\(66\) 2.02237 3.50284i 0.248936 0.431170i
\(67\) 0.583158 + 1.01006i 0.0712441 + 0.123398i 0.899447 0.437030i \(-0.143970\pi\)
−0.828203 + 0.560429i \(0.810636\pi\)
\(68\) 0.715381 0.0867527
\(69\) −2.04891 3.54881i −0.246659 0.427227i
\(70\) −6.82682 8.48306i −0.815961 1.01392i
\(71\) 5.10254 + 8.83786i 0.605560 + 1.04886i 0.991963 + 0.126531i \(0.0403843\pi\)
−0.386402 + 0.922330i \(0.626282\pi\)
\(72\) −0.500000 + 0.866025i −0.0589256 + 0.102062i
\(73\) −1.25673 + 2.17673i −0.147090 + 0.254767i −0.930151 0.367178i \(-0.880324\pi\)
0.783061 + 0.621945i \(0.213657\pi\)
\(74\) 7.19594 0.836512
\(75\) −11.9383 −1.37851
\(76\) 1.92440 3.33315i 0.220743 0.382339i
\(77\) 6.70925 + 8.33697i 0.764590 + 0.950086i
\(78\) −1.79099 + 3.12928i −0.202789 + 0.354321i
\(79\) −6.70468 11.6129i −0.754336 1.30655i −0.945704 0.325030i \(-0.894626\pi\)
0.191368 0.981518i \(-0.438708\pi\)
\(80\) 2.05781 + 3.56422i 0.230070 + 0.398492i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) −2.88423 + 4.99563i −0.318510 + 0.551675i
\(83\) −15.5024 −1.70161 −0.850807 0.525479i \(-0.823886\pi\)
−0.850807 + 0.525479i \(0.823886\pi\)
\(84\) −1.65876 2.06119i −0.180986 0.224894i
\(85\) 1.47212 + 2.54978i 0.159673 + 0.276562i
\(86\) 1.28209 + 2.22064i 0.138251 + 0.239458i
\(87\) 9.00914 0.965881
\(88\) −2.02237 3.50284i −0.215585 0.373404i
\(89\) −10.9137 −1.15685 −0.578425 0.815736i \(-0.696332\pi\)
−0.578425 + 0.815736i \(0.696332\pi\)
\(90\) −4.11561 −0.433824
\(91\) −6.00874 7.40912i −0.629887 0.776687i
\(92\) −4.09781 −0.427227
\(93\) 3.65285 0.378783
\(94\) 1.28800 + 2.23088i 0.132847 + 0.230098i
\(95\) 15.8401 1.62516
\(96\) 0.500000 + 0.866025i 0.0510310 + 0.0883883i
\(97\) −3.10135 5.37170i −0.314895 0.545414i 0.664520 0.747270i \(-0.268636\pi\)
−0.979415 + 0.201856i \(0.935303\pi\)
\(98\) 6.67043 2.12257i 0.673816 0.214412i
\(99\) 4.04474 0.406511
\(100\) −5.96913 + 10.3388i −0.596913 + 1.03388i
\(101\) −8.15325 14.1218i −0.811278 1.40518i −0.911970 0.410257i \(-0.865439\pi\)
0.100692 0.994918i \(-0.467894\pi\)
\(102\) 0.357690 + 0.619538i 0.0354166 + 0.0613434i
\(103\) 1.46023 + 2.52920i 0.143881 + 0.249209i 0.928955 0.370193i \(-0.120708\pi\)
−0.785074 + 0.619402i \(0.787375\pi\)
\(104\) 1.81454 + 3.11568i 0.177930 + 0.305517i
\(105\) 3.93314 10.1537i 0.383835 0.990903i
\(106\) −1.35888 + 2.35365i −0.131986 + 0.228606i
\(107\) −4.03877 −0.390442 −0.195221 0.980759i \(-0.562542\pi\)
−0.195221 + 0.980759i \(0.562542\pi\)
\(108\) −1.00000 −0.0962250
\(109\) 6.93314 12.0085i 0.664074 1.15021i −0.315461 0.948938i \(-0.602159\pi\)
0.979535 0.201272i \(-0.0645074\pi\)
\(110\) 8.32328 14.4163i 0.793594 1.37454i
\(111\) 3.59797 + 6.23187i 0.341504 + 0.591503i
\(112\) −2.61442 + 0.405935i −0.247040 + 0.0383572i
\(113\) −7.30902 12.6596i −0.687575 1.19091i −0.972620 0.232401i \(-0.925342\pi\)
0.285045 0.958514i \(-0.407991\pi\)
\(114\) 3.84879 0.360472
\(115\) −8.43251 14.6055i −0.786335 1.36197i
\(116\) 4.50457 7.80214i 0.418239 0.724411i
\(117\) −3.60553 + 0.0135995i −0.333331 + 0.00125727i
\(118\) 12.9027 1.18779
\(119\) −1.87031 + 0.290398i −0.171451 + 0.0266207i
\(120\) −2.05781 + 3.56422i −0.187851 + 0.325368i
\(121\) −2.67994 + 4.64180i −0.243631 + 0.421982i
\(122\) 4.71538 8.16728i 0.426911 0.739431i
\(123\) −5.76846 −0.520124
\(124\) 1.82642 3.16346i 0.164018 0.284087i
\(125\) −28.5552 −2.55405
\(126\) 0.955663 2.46713i 0.0851372 0.219789i
\(127\) −1.26603 + 2.19283i −0.112342 + 0.194582i −0.916714 0.399544i \(-0.869169\pi\)
0.804372 + 0.594126i \(0.202502\pi\)
\(128\) 1.00000 0.0883883
\(129\) −1.28209 + 2.22064i −0.112881 + 0.195516i
\(130\) −7.37100 + 12.8789i −0.646480 + 1.12955i
\(131\) 6.21657 + 10.7674i 0.543144 + 0.940753i 0.998721 + 0.0505568i \(0.0160996\pi\)
−0.455577 + 0.890196i \(0.650567\pi\)
\(132\) 2.02237 3.50284i 0.176025 0.304883i
\(133\) −3.67815 + 9.49545i −0.318936 + 0.823360i
\(134\) 0.583158 + 1.01006i 0.0503772 + 0.0872558i
\(135\) −2.05781 3.56422i −0.177108 0.306760i
\(136\) 0.715381 0.0613434
\(137\) −10.3848 −0.887234 −0.443617 0.896216i \(-0.646305\pi\)
−0.443617 + 0.896216i \(0.646305\pi\)
\(138\) −2.04891 3.54881i −0.174415 0.302095i
\(139\) −0.636394 1.10227i −0.0539783 0.0934931i 0.837774 0.546018i \(-0.183857\pi\)
−0.891752 + 0.452525i \(0.850524\pi\)
\(140\) −6.82682 8.48306i −0.576972 0.716950i
\(141\) −1.28800 + 2.23088i −0.108469 + 0.187874i
\(142\) 5.10254 + 8.83786i 0.428196 + 0.741657i
\(143\) 7.24406 12.6571i 0.605779 1.05844i
\(144\) −0.500000 + 0.866025i −0.0416667 + 0.0721688i
\(145\) 37.0781 3.07917
\(146\) −1.25673 + 2.17673i −0.104008 + 0.180147i
\(147\) 5.17342 + 4.71548i 0.426696 + 0.388926i
\(148\) 7.19594 0.591503
\(149\) −11.6810 + 20.2320i −0.956942 + 1.65747i −0.227083 + 0.973875i \(0.572919\pi\)
−0.729859 + 0.683598i \(0.760414\pi\)
\(150\) −11.9383 −0.974755
\(151\) 1.19832 2.07555i 0.0975178 0.168906i −0.813139 0.582070i \(-0.802243\pi\)
0.910657 + 0.413164i \(0.135576\pi\)
\(152\) 1.92440 3.33315i 0.156089 0.270354i
\(153\) −0.357690 + 0.619538i −0.0289176 + 0.0500867i
\(154\) 6.70925 + 8.33697i 0.540647 + 0.671812i
\(155\) 15.0337 1.20754
\(156\) −1.79099 + 3.12928i −0.143394 + 0.250543i
\(157\) 5.79083 10.0300i 0.462158 0.800482i −0.536910 0.843640i \(-0.680409\pi\)
0.999068 + 0.0431579i \(0.0137419\pi\)
\(158\) −6.70468 11.6129i −0.533396 0.923869i
\(159\) −2.71776 −0.215532
\(160\) 2.05781 + 3.56422i 0.162684 + 0.281777i
\(161\) 10.7134 1.66344i 0.844336 0.131098i
\(162\) −0.500000 0.866025i −0.0392837 0.0680414i
\(163\) −8.95432 + 15.5093i −0.701356 + 1.21478i 0.266634 + 0.963798i \(0.414088\pi\)
−0.967990 + 0.250987i \(0.919245\pi\)
\(164\) −2.88423 + 4.99563i −0.225220 + 0.390093i
\(165\) 16.6466 1.29593
\(166\) −15.5024 −1.20322
\(167\) 3.15398 5.46286i 0.244062 0.422728i −0.717805 0.696244i \(-0.754853\pi\)
0.961868 + 0.273516i \(0.0881865\pi\)
\(168\) −1.65876 2.06119i −0.127976 0.159024i
\(169\) −6.41489 + 11.3070i −0.493453 + 0.869773i
\(170\) 1.47212 + 2.54978i 0.112906 + 0.195559i
\(171\) 1.92440 + 3.33315i 0.147162 + 0.254892i
\(172\) 1.28209 + 2.22064i 0.0977582 + 0.169322i
\(173\) 1.82563 3.16209i 0.138800 0.240409i −0.788242 0.615365i \(-0.789009\pi\)
0.927043 + 0.374956i \(0.122342\pi\)
\(174\) 9.00914 0.682981
\(175\) 11.4090 29.4532i 0.862436 2.22645i
\(176\) −2.02237 3.50284i −0.152442 0.264037i
\(177\) 6.45133 + 11.1740i 0.484912 + 0.839892i
\(178\) −10.9137 −0.818016
\(179\) −6.25956 10.8419i −0.467861 0.810360i 0.531464 0.847081i \(-0.321642\pi\)
−0.999326 + 0.0367210i \(0.988309\pi\)
\(180\) −4.11561 −0.306760
\(181\) −18.1728 −1.35077 −0.675385 0.737465i \(-0.736023\pi\)
−0.675385 + 0.737465i \(0.736023\pi\)
\(182\) −6.00874 7.40912i −0.445397 0.549200i
\(183\) 9.43076 0.697142
\(184\) −4.09781 −0.302095
\(185\) 14.8079 + 25.6480i 1.08870 + 1.88568i
\(186\) 3.65285 0.267840
\(187\) −1.44676 2.50587i −0.105798 0.183247i
\(188\) 1.28800 + 2.23088i 0.0939371 + 0.162704i
\(189\) 2.61442 0.405935i 0.190171 0.0295274i
\(190\) 15.8401 1.14916
\(191\) −2.23004 + 3.86254i −0.161360 + 0.279483i −0.935357 0.353706i \(-0.884921\pi\)
0.773997 + 0.633190i \(0.218255\pi\)
\(192\) 0.500000 + 0.866025i 0.0360844 + 0.0625000i
\(193\) 4.34243 + 7.52130i 0.312575 + 0.541395i 0.978919 0.204249i \(-0.0654752\pi\)
−0.666344 + 0.745644i \(0.732142\pi\)
\(194\) −3.10135 5.37170i −0.222664 0.385666i
\(195\) −14.8389 + 0.0559702i −1.06264 + 0.00400811i
\(196\) 6.67043 2.12257i 0.476460 0.151612i
\(197\) −1.23397 + 2.13730i −0.0879166 + 0.152276i −0.906630 0.421926i \(-0.861354\pi\)
0.818714 + 0.574202i \(0.194688\pi\)
\(198\) 4.04474 0.287447
\(199\) 20.5681 1.45804 0.729018 0.684494i \(-0.239977\pi\)
0.729018 + 0.684494i \(0.239977\pi\)
\(200\) −5.96913 + 10.3388i −0.422081 + 0.731066i
\(201\) −0.583158 + 1.01006i −0.0411328 + 0.0712441i
\(202\) −8.15325 14.1218i −0.573660 0.993609i
\(203\) −8.60970 + 22.2267i −0.604282 + 1.56001i
\(204\) 0.357690 + 0.619538i 0.0250433 + 0.0433763i
\(205\) −23.7407 −1.65813
\(206\) 1.46023 + 2.52920i 0.101739 + 0.176217i
\(207\) 2.04891 3.54881i 0.142409 0.246659i
\(208\) 1.81454 + 3.11568i 0.125816 + 0.216033i
\(209\) −15.5673 −1.07682
\(210\) 3.93314 10.1537i 0.271412 0.700674i
\(211\) 2.22726 3.85773i 0.153331 0.265577i −0.779119 0.626876i \(-0.784333\pi\)
0.932450 + 0.361299i \(0.117667\pi\)
\(212\) −1.35888 + 2.35365i −0.0933281 + 0.161649i
\(213\) −5.10254 + 8.83786i −0.349620 + 0.605560i
\(214\) −4.03877 −0.276084
\(215\) −5.27657 + 9.13929i −0.359859 + 0.623294i
\(216\) −1.00000 −0.0680414
\(217\) −3.49089 + 9.01203i −0.236977 + 0.611777i
\(218\) 6.93314 12.0085i 0.469571 0.813321i
\(219\) −2.51347 −0.169844
\(220\) 8.32328 14.4163i 0.561155 0.971950i
\(221\) 1.29809 + 2.22890i 0.0873188 + 0.149932i
\(222\) 3.59797 + 6.23187i 0.241480 + 0.418256i
\(223\) −2.49662 + 4.32427i −0.167186 + 0.289574i −0.937429 0.348175i \(-0.886801\pi\)
0.770243 + 0.637750i \(0.220135\pi\)
\(224\) −2.61442 + 0.405935i −0.174684 + 0.0271227i
\(225\) −5.96913 10.3388i −0.397942 0.689256i
\(226\) −7.30902 12.6596i −0.486189 0.842104i
\(227\) −1.57273 −0.104385 −0.0521927 0.998637i \(-0.516621\pi\)
−0.0521927 + 0.998637i \(0.516621\pi\)
\(228\) 3.84879 0.254892
\(229\) 0.828619 + 1.43521i 0.0547567 + 0.0948413i 0.892104 0.451829i \(-0.149228\pi\)
−0.837348 + 0.546671i \(0.815895\pi\)
\(230\) −8.43251 14.6055i −0.556023 0.963060i
\(231\) −3.86540 + 9.97887i −0.254325 + 0.656561i
\(232\) 4.50457 7.80214i 0.295739 0.512236i
\(233\) −3.86181 6.68885i −0.252996 0.438201i 0.711354 0.702834i \(-0.248082\pi\)
−0.964349 + 0.264633i \(0.914749\pi\)
\(234\) −3.60553 + 0.0135995i −0.235701 + 0.000889026i
\(235\) −5.30091 + 9.18145i −0.345793 + 0.598932i
\(236\) 12.9027 0.839892
\(237\) 6.70468 11.6129i 0.435516 0.754336i
\(238\) −1.87031 + 0.290398i −0.121234 + 0.0188237i
\(239\) −28.7630 −1.86052 −0.930261 0.366899i \(-0.880420\pi\)
−0.930261 + 0.366899i \(0.880420\pi\)
\(240\) −2.05781 + 3.56422i −0.132831 + 0.230070i
\(241\) 25.6204 1.65036 0.825178 0.564872i \(-0.191075\pi\)
0.825178 + 0.564872i \(0.191075\pi\)
\(242\) −2.67994 + 4.64180i −0.172273 + 0.298386i
\(243\) 0.500000 0.866025i 0.0320750 0.0555556i
\(244\) 4.71538 8.16728i 0.301871 0.522856i
\(245\) 21.2918 + 19.4071i 1.36028 + 1.23987i
\(246\) −5.76846 −0.367784
\(247\) 13.8769 0.0523416i 0.882967 0.00333042i
\(248\) 1.82642 3.16346i 0.115978 0.200880i
\(249\) −7.75122 13.4255i −0.491213 0.850807i
\(250\) −28.5552 −1.80599
\(251\) 0.339652 + 0.588295i 0.0214387 + 0.0371329i 0.876546 0.481319i \(-0.159842\pi\)
−0.855107 + 0.518452i \(0.826509\pi\)
\(252\) 0.955663 2.46713i 0.0602011 0.155414i
\(253\) 8.28729 + 14.3540i 0.521017 + 0.902428i
\(254\) −1.26603 + 2.19283i −0.0794379 + 0.137590i
\(255\) −1.47212 + 2.54978i −0.0921874 + 0.159673i
\(256\) 1.00000 0.0625000
\(257\) −2.44587 −0.152569 −0.0762846 0.997086i \(-0.524306\pi\)
−0.0762846 + 0.997086i \(0.524306\pi\)
\(258\) −1.28209 + 2.22064i −0.0798192 + 0.138251i
\(259\) −18.8133 + 2.92108i −1.16900 + 0.181507i
\(260\) −7.37100 + 12.8789i −0.457130 + 0.798715i
\(261\) 4.50457 + 7.80214i 0.278826 + 0.482941i
\(262\) 6.21657 + 10.7674i 0.384061 + 0.665213i
\(263\) −12.6596 21.9271i −0.780625 1.35208i −0.931578 0.363541i \(-0.881568\pi\)
0.150953 0.988541i \(-0.451766\pi\)
\(264\) 2.02237 3.50284i 0.124468 0.215585i
\(265\) −11.1852 −0.687103
\(266\) −3.67815 + 9.49545i −0.225522 + 0.582204i
\(267\) −5.45685 9.45154i −0.333954 0.578425i
\(268\) 0.583158 + 1.01006i 0.0356220 + 0.0616992i
\(269\) −13.5665 −0.827167 −0.413583 0.910466i \(-0.635723\pi\)
−0.413583 + 0.910466i \(0.635723\pi\)
\(270\) −2.05781 3.56422i −0.125234 0.216912i
\(271\) −4.85940 −0.295188 −0.147594 0.989048i \(-0.547153\pi\)
−0.147594 + 0.989048i \(0.547153\pi\)
\(272\) 0.715381 0.0433763
\(273\) 3.41211 8.90828i 0.206511 0.539154i
\(274\) −10.3848 −0.627369
\(275\) 48.2871 2.91182
\(276\) −2.04891 3.54881i −0.123330 0.213613i
\(277\) 12.0625 0.724767 0.362384 0.932029i \(-0.381963\pi\)
0.362384 + 0.932029i \(0.381963\pi\)
\(278\) −0.636394 1.10227i −0.0381684 0.0661096i
\(279\) 1.82642 + 3.16346i 0.109345 + 0.189391i
\(280\) −6.82682 8.48306i −0.407981 0.506960i
\(281\) 18.3963 1.09743 0.548716 0.836009i \(-0.315117\pi\)
0.548716 + 0.836009i \(0.315117\pi\)
\(282\) −1.28800 + 2.23088i −0.0766994 + 0.132847i
\(283\) 0.347153 + 0.601286i 0.0206361 + 0.0357428i 0.876159 0.482022i \(-0.160098\pi\)
−0.855523 + 0.517765i \(0.826764\pi\)
\(284\) 5.10254 + 8.83786i 0.302780 + 0.524431i
\(285\) 7.92007 + 13.7180i 0.469144 + 0.812582i
\(286\) 7.24406 12.6571i 0.428350 0.748430i
\(287\) 5.51270 14.2315i 0.325404 0.840060i
\(288\) −0.500000 + 0.866025i −0.0294628 + 0.0510310i
\(289\) −16.4882 −0.969896
\(290\) 37.0781 2.17730
\(291\) 3.10135 5.37170i 0.181805 0.314895i
\(292\) −1.25673 + 2.17673i −0.0735448 + 0.127383i
\(293\) 5.44518 + 9.43133i 0.318111 + 0.550984i 0.980094 0.198535i \(-0.0636183\pi\)
−0.661983 + 0.749519i \(0.730285\pi\)
\(294\) 5.17342 + 4.71548i 0.301720 + 0.275012i
\(295\) 26.5512 + 45.9880i 1.54587 + 2.67752i
\(296\) 7.19594 0.418256
\(297\) 2.02237 + 3.50284i 0.117350 + 0.203256i
\(298\) −11.6810 + 20.2320i −0.676661 + 1.17201i
\(299\) −7.43565 12.7675i −0.430015 0.738362i
\(300\) −11.9383 −0.689256
\(301\) −4.25335 5.28525i −0.245159 0.304637i
\(302\) 1.19832 2.07555i 0.0689555 0.119434i
\(303\) 8.15325 14.1218i 0.468392 0.811278i
\(304\) 1.92440 3.33315i 0.110372 0.191169i
\(305\) 38.8134 2.22245
\(306\) −0.357690 + 0.619538i −0.0204478 + 0.0354166i
\(307\) 23.7724 1.35676 0.678382 0.734709i \(-0.262681\pi\)
0.678382 + 0.734709i \(0.262681\pi\)
\(308\) 6.70925 + 8.33697i 0.382295 + 0.475043i
\(309\) −1.46023 + 2.52920i −0.0830697 + 0.143881i
\(310\) 15.0337 0.853857
\(311\) −10.9242 + 18.9212i −0.619454 + 1.07293i 0.370132 + 0.928979i \(0.379312\pi\)
−0.989586 + 0.143946i \(0.954021\pi\)
\(312\) −1.79099 + 3.12928i −0.101395 + 0.177160i
\(313\) 16.0323 + 27.7688i 0.906199 + 1.56958i 0.819300 + 0.573365i \(0.194362\pi\)
0.0868992 + 0.996217i \(0.472304\pi\)
\(314\) 5.79083 10.0300i 0.326795 0.566026i
\(315\) 10.7600 1.67067i 0.606255 0.0941316i
\(316\) −6.70468 11.6129i −0.377168 0.653274i
\(317\) 10.3068 + 17.8520i 0.578889 + 1.00267i 0.995607 + 0.0936296i \(0.0298469\pi\)
−0.416718 + 0.909036i \(0.636820\pi\)
\(318\) −2.71776 −0.152404
\(319\) −36.4396 −2.04023
\(320\) 2.05781 + 3.56422i 0.115035 + 0.199246i
\(321\) −2.01938 3.49768i −0.112711 0.195221i
\(322\) 10.7134 1.66344i 0.597036 0.0927002i
\(323\) 1.37668 2.38447i 0.0766003 0.132676i
\(324\) −0.500000 0.866025i −0.0277778 0.0481125i
\(325\) −43.0437 + 0.162354i −2.38764 + 0.00900579i
\(326\) −8.95432 + 15.5093i −0.495934 + 0.858982i
\(327\) 13.8663 0.766807
\(328\) −2.88423 + 4.99563i −0.159255 + 0.275838i
\(329\) −4.27298 5.30963i −0.235577 0.292730i
\(330\) 16.6466 0.916363
\(331\) −5.99781 + 10.3885i −0.329669 + 0.571004i −0.982446 0.186546i \(-0.940271\pi\)
0.652777 + 0.757550i \(0.273604\pi\)
\(332\) −15.5024 −0.850807
\(333\) −3.59797 + 6.23187i −0.197168 + 0.341504i
\(334\) 3.15398 5.46286i 0.172578 0.298914i
\(335\) −2.40005 + 4.15701i −0.131129 + 0.227122i
\(336\) −1.65876 2.06119i −0.0904929 0.112447i
\(337\) −17.6146 −0.959526 −0.479763 0.877398i \(-0.659277\pi\)
−0.479763 + 0.877398i \(0.659277\pi\)
\(338\) −6.41489 + 11.3070i −0.348924 + 0.615022i
\(339\) 7.30902 12.6596i 0.396972 0.687575i
\(340\) 1.47212 + 2.54978i 0.0798367 + 0.138281i
\(341\) −14.7748 −0.800100
\(342\) 1.92440 + 3.33315i 0.104059 + 0.180236i
\(343\) −16.5777 + 8.25707i −0.895113 + 0.445840i
\(344\) 1.28209 + 2.22064i 0.0691255 + 0.119729i
\(345\) 8.43251 14.6055i 0.453991 0.786335i
\(346\) 1.82563 3.16209i 0.0981467 0.169995i
\(347\) −15.8504 −0.850893 −0.425447 0.904984i \(-0.639883\pi\)
−0.425447 + 0.904984i \(0.639883\pi\)
\(348\) 9.00914 0.482941
\(349\) 5.15206 8.92363i 0.275783 0.477671i −0.694549 0.719445i \(-0.744396\pi\)
0.970332 + 0.241775i \(0.0777294\pi\)
\(350\) 11.4090 29.4532i 0.609834 1.57434i
\(351\) −1.81454 3.11568i −0.0968530 0.166303i
\(352\) −2.02237 3.50284i −0.107793 0.186702i
\(353\) 8.00975 + 13.8733i 0.426316 + 0.738401i 0.996542 0.0830868i \(-0.0264779\pi\)
−0.570226 + 0.821488i \(0.693145\pi\)
\(354\) 6.45133 + 11.1740i 0.342884 + 0.593893i
\(355\) −21.0001 + 36.3732i −1.11457 + 1.93049i
\(356\) −10.9137 −0.578425
\(357\) −1.18665 1.47454i −0.0628040 0.0780408i
\(358\) −6.25956 10.8419i −0.330828 0.573011i
\(359\) 4.55623 + 7.89162i 0.240469 + 0.416504i 0.960848 0.277077i \(-0.0893656\pi\)
−0.720379 + 0.693580i \(0.756032\pi\)
\(360\) −4.11561 −0.216912
\(361\) 2.09340 + 3.62588i 0.110179 + 0.190836i
\(362\) −18.1728 −0.955139
\(363\) −5.35989 −0.281321
\(364\) −6.00874 7.40912i −0.314944 0.388343i
\(365\) −10.3445 −0.541454
\(366\) 9.43076 0.492954
\(367\) −5.11189 8.85406i −0.266839 0.462178i 0.701205 0.712960i \(-0.252646\pi\)
−0.968044 + 0.250782i \(0.919312\pi\)
\(368\) −4.09781 −0.213613
\(369\) −2.88423 4.99563i −0.150147 0.260062i
\(370\) 14.8079 + 25.6480i 0.769824 + 1.33337i
\(371\) 2.59726 6.70504i 0.134843 0.348109i
\(372\) 3.65285 0.189391
\(373\) 14.0796 24.3866i 0.729015 1.26269i −0.228284 0.973594i \(-0.573312\pi\)
0.957300 0.289097i \(-0.0933550\pi\)
\(374\) −1.44676 2.50587i −0.0748104 0.129575i
\(375\) −14.2776 24.7295i −0.737292 1.27703i
\(376\) 1.28800 + 2.23088i 0.0664236 + 0.115049i
\(377\) 32.4827 0.122520i 1.67294 0.00631008i
\(378\) 2.61442 0.405935i 0.134472 0.0208790i
\(379\) −3.08112 + 5.33666i −0.158267 + 0.274126i −0.934244 0.356635i \(-0.883924\pi\)
0.775977 + 0.630761i \(0.217257\pi\)
\(380\) 15.8401 0.812582
\(381\) −2.53206 −0.129722
\(382\) −2.23004 + 3.86254i −0.114099 + 0.197625i
\(383\) 9.48159 16.4226i 0.484487 0.839156i −0.515354 0.856977i \(-0.672340\pi\)
0.999841 + 0.0178215i \(0.00567306\pi\)
\(384\) 0.500000 + 0.866025i 0.0255155 + 0.0441942i
\(385\) −15.9085 + 41.0692i −0.810772 + 2.09308i
\(386\) 4.34243 + 7.52130i 0.221024 + 0.382824i
\(387\) −2.56417 −0.130344
\(388\) −3.10135 5.37170i −0.157447 0.272707i
\(389\) 1.08192 1.87394i 0.0548554 0.0950123i −0.837294 0.546753i \(-0.815864\pi\)
0.892149 + 0.451741i \(0.149197\pi\)
\(390\) −14.8389 + 0.0559702i −0.751399 + 0.00283416i
\(391\) −2.93150 −0.148252
\(392\) 6.67043 2.12257i 0.336908 0.107206i
\(393\) −6.21657 + 10.7674i −0.313584 + 0.543144i
\(394\) −1.23397 + 2.13730i −0.0621664 + 0.107675i
\(395\) 27.5939 47.7940i 1.38840 2.40478i
\(396\) 4.04474 0.203256
\(397\) −10.3858 + 17.9888i −0.521249 + 0.902830i 0.478445 + 0.878117i \(0.341200\pi\)
−0.999695 + 0.0247127i \(0.992133\pi\)
\(398\) 20.5681 1.03099
\(399\) −10.0624 + 1.56236i −0.503749 + 0.0782157i
\(400\) −5.96913 + 10.3388i −0.298457 + 0.516942i
\(401\) 2.30807 0.115259 0.0576297 0.998338i \(-0.481646\pi\)
0.0576297 + 0.998338i \(0.481646\pi\)
\(402\) −0.583158 + 1.01006i −0.0290853 + 0.0503772i
\(403\) 13.1704 0.0496768i 0.656066 0.00247458i
\(404\) −8.15325 14.1218i −0.405639 0.702588i
\(405\) 2.05781 3.56422i 0.102253 0.177108i
\(406\) −8.60970 + 22.2267i −0.427292 + 1.10309i
\(407\) −14.5528 25.2063i −0.721358 1.24943i
\(408\) 0.357690 + 0.619538i 0.0177083 + 0.0306717i
\(409\) 16.0313 0.792698 0.396349 0.918100i \(-0.370277\pi\)
0.396349 + 0.918100i \(0.370277\pi\)
\(410\) −23.7407 −1.17247
\(411\) −5.19240 8.99351i −0.256122 0.443617i
\(412\) 1.46023 + 2.52920i 0.0719405 + 0.124605i
\(413\) −33.7330 + 5.23764i −1.65989 + 0.257727i
\(414\) 2.04891 3.54881i 0.100698 0.174415i
\(415\) −31.9010 55.2542i −1.56596 2.71232i
\(416\) 1.81454 + 3.11568i 0.0889652 + 0.152759i
\(417\) 0.636394 1.10227i 0.0311644 0.0539783i
\(418\) −15.5673 −0.761424
\(419\) 1.48519 2.57242i 0.0725561 0.125671i −0.827465 0.561518i \(-0.810218\pi\)
0.900021 + 0.435847i \(0.143551\pi\)
\(420\) 3.93314 10.1537i 0.191917 0.495451i
\(421\) 34.3026 1.67181 0.835903 0.548878i \(-0.184945\pi\)
0.835903 + 0.548878i \(0.184945\pi\)
\(422\) 2.22726 3.85773i 0.108422 0.187792i
\(423\) −2.57600 −0.125250
\(424\) −1.35888 + 2.35365i −0.0659929 + 0.114303i
\(425\) −4.27020 + 7.39621i −0.207135 + 0.358769i
\(426\) −5.10254 + 8.83786i −0.247219 + 0.428196i
\(427\) −9.01263 + 23.2669i −0.436152 + 1.12596i
\(428\) −4.03877 −0.195221
\(429\) 14.5834 0.0550063i 0.704093 0.00265573i
\(430\) −5.27657 + 9.13929i −0.254459 + 0.440736i
\(431\) 11.7248 + 20.3079i 0.564762 + 0.978196i 0.997072 + 0.0764711i \(0.0243653\pi\)
−0.432310 + 0.901725i \(0.642301\pi\)
\(432\) −1.00000 −0.0481125
\(433\) 0.402426 + 0.697022i 0.0193394 + 0.0334968i 0.875533 0.483158i \(-0.160510\pi\)
−0.856194 + 0.516655i \(0.827177\pi\)
\(434\) −3.49089 + 9.01203i −0.167568 + 0.432591i
\(435\) 18.5391 + 32.1106i 0.888880 + 1.53959i
\(436\) 6.93314 12.0085i 0.332037 0.575105i
\(437\) −7.88581 + 13.6586i −0.377230 + 0.653381i
\(438\) −2.51347 −0.120098
\(439\) −1.59775 −0.0762566 −0.0381283 0.999273i \(-0.512140\pi\)
−0.0381283 + 0.999273i \(0.512140\pi\)
\(440\) 8.32328 14.4163i 0.396797 0.687272i
\(441\) −1.49702 + 6.83805i −0.0712865 + 0.325621i
\(442\) 1.29809 + 2.22890i 0.0617437 + 0.106018i
\(443\) −3.27335 5.66960i −0.155521 0.269371i 0.777727 0.628602i \(-0.216372\pi\)
−0.933249 + 0.359231i \(0.883039\pi\)
\(444\) 3.59797 + 6.23187i 0.170752 + 0.295751i
\(445\) −22.4583 38.8989i −1.06462 1.84398i
\(446\) −2.49662 + 4.32427i −0.118218 + 0.204760i
\(447\) −23.3619 −1.10498
\(448\) −2.61442 + 0.405935i −0.123520 + 0.0191786i
\(449\) −6.34113 10.9832i −0.299257 0.518328i 0.676710 0.736250i \(-0.263405\pi\)
−0.975966 + 0.217923i \(0.930072\pi\)
\(450\) −5.96913 10.3388i −0.281388 0.487378i
\(451\) 23.3319 1.09866
\(452\) −7.30902 12.6596i −0.343788 0.595457i
\(453\) 2.39664 0.112604
\(454\) −1.57273 −0.0738117
\(455\) 14.0429 36.6630i 0.658343 1.71879i
\(456\) 3.84879 0.180236
\(457\) −10.7551 −0.503100 −0.251550 0.967844i \(-0.580940\pi\)
−0.251550 + 0.967844i \(0.580940\pi\)
\(458\) 0.828619 + 1.43521i 0.0387188 + 0.0670629i
\(459\) −0.715381 −0.0333911
\(460\) −8.43251 14.6055i −0.393168 0.680986i
\(461\) 9.19640 + 15.9286i 0.428319 + 0.741870i 0.996724 0.0808788i \(-0.0257727\pi\)
−0.568405 + 0.822749i \(0.692439\pi\)
\(462\) −3.86540 + 9.97887i −0.179835 + 0.464259i
\(463\) −34.6818 −1.61180 −0.805901 0.592050i \(-0.798319\pi\)
−0.805901 + 0.592050i \(0.798319\pi\)
\(464\) 4.50457 7.80214i 0.209119 0.362205i
\(465\) 7.51685 + 13.0196i 0.348586 + 0.603768i
\(466\) −3.86181 6.68885i −0.178895 0.309855i
\(467\) 14.1236 + 24.4627i 0.653561 + 1.13200i 0.982253 + 0.187563i \(0.0600589\pi\)
−0.328692 + 0.944437i \(0.606608\pi\)
\(468\) −3.60553 + 0.0135995i −0.166665 + 0.000628636i
\(469\) −1.93464 2.40400i −0.0893334 0.111006i
\(470\) −5.30091 + 9.18145i −0.244513 + 0.423509i
\(471\) 11.5817 0.533654
\(472\) 12.9027 0.593893
\(473\) 5.18570 8.98189i 0.238439 0.412988i
\(474\) 6.70468 11.6129i 0.307956 0.533396i
\(475\) 22.9739 + 39.7920i 1.05412 + 1.82578i
\(476\) −1.87031 + 0.290398i −0.0857255 + 0.0133104i
\(477\) −1.35888 2.35365i −0.0622187 0.107766i
\(478\) −28.7630 −1.31559
\(479\) 6.22925 + 10.7894i 0.284622 + 0.492979i 0.972517 0.232830i \(-0.0747987\pi\)
−0.687896 + 0.725810i \(0.741465\pi\)
\(480\) −2.05781 + 3.56422i −0.0939256 + 0.162684i
\(481\) 13.0573 + 22.4202i 0.595363 + 1.02227i
\(482\) 25.6204 1.16698
\(483\) 6.79730 + 8.44638i 0.309288 + 0.384323i
\(484\) −2.67994 + 4.64180i −0.121816 + 0.210991i
\(485\) 12.7640 22.1078i 0.579582 1.00387i
\(486\) 0.500000 0.866025i 0.0226805 0.0392837i
\(487\) 8.34097 0.377966 0.188983 0.981980i \(-0.439481\pi\)
0.188983 + 0.981980i \(0.439481\pi\)
\(488\) 4.71538 8.16728i 0.213455 0.369715i
\(489\) −17.9086 −0.809856
\(490\) 21.2918 + 19.4071i 0.961865 + 0.876723i
\(491\) 8.82502 15.2854i 0.398268 0.689820i −0.595245 0.803545i \(-0.702945\pi\)
0.993512 + 0.113725i \(0.0362781\pi\)
\(492\) −5.76846 −0.260062
\(493\) 3.22248 5.58150i 0.145133 0.251378i
\(494\) 13.8769 0.0523416i 0.624352 0.00235496i
\(495\) 8.32328 + 14.4163i 0.374104 + 0.647967i
\(496\) 1.82642 3.16346i 0.0820088 0.142043i
\(497\) −16.9278 21.0346i −0.759316 0.943532i
\(498\) −7.75122 13.4255i −0.347340 0.601611i
\(499\) −18.9853 32.8834i −0.849897 1.47207i −0.881299 0.472558i \(-0.843331\pi\)
0.0314021 0.999507i \(-0.490003\pi\)
\(500\) −28.5552 −1.27703
\(501\) 6.30796 0.281819
\(502\) 0.339652 + 0.588295i 0.0151594 + 0.0262569i
\(503\) −10.4517 18.1029i −0.466019 0.807169i 0.533228 0.845972i \(-0.320979\pi\)
−0.999247 + 0.0388027i \(0.987646\pi\)
\(504\) 0.955663 2.46713i 0.0425686 0.109895i
\(505\) 33.5556 58.1200i 1.49320 2.58631i
\(506\) 8.28729 + 14.3540i 0.368415 + 0.638113i
\(507\) −12.9996 + 0.0980666i −0.577334 + 0.00435529i
\(508\) −1.26603 + 2.19283i −0.0561711 + 0.0972911i
\(509\) −15.0211 −0.665797 −0.332899 0.942963i \(-0.608027\pi\)
−0.332899 + 0.942963i \(0.608027\pi\)
\(510\) −1.47212 + 2.54978i −0.0651864 + 0.112906i
\(511\) 2.40203 6.20104i 0.106259 0.274318i
\(512\) 1.00000 0.0441942
\(513\) −1.92440 + 3.33315i −0.0849641 + 0.147162i
\(514\) −2.44587 −0.107883
\(515\) −6.00975 + 10.4092i −0.264821 + 0.458684i
\(516\) −1.28209 + 2.22064i −0.0564407 + 0.0977582i
\(517\) 5.20962 9.02333i 0.229119 0.396846i
\(518\) −18.8133 + 2.92108i −0.826607 + 0.128345i
\(519\) 3.65127 0.160273
\(520\) −7.37100 + 12.8789i −0.323240 + 0.564777i
\(521\) 10.4549 18.1084i 0.458037 0.793344i −0.540820 0.841138i \(-0.681886\pi\)
0.998857 + 0.0477946i \(0.0152193\pi\)
\(522\) 4.50457 + 7.80214i 0.197160 + 0.341491i
\(523\) −12.3678 −0.540806 −0.270403 0.962747i \(-0.587157\pi\)
−0.270403 + 0.962747i \(0.587157\pi\)
\(524\) 6.21657 + 10.7674i 0.271572 + 0.470377i
\(525\) 31.2117 4.84616i 1.36219 0.211504i
\(526\) −12.6596 21.9271i −0.551985 0.956067i
\(527\) 1.30659 2.26308i 0.0569159 0.0985812i
\(528\) 2.02237 3.50284i 0.0880123 0.152442i
\(529\) −6.20792 −0.269910
\(530\) −11.1852 −0.485855
\(531\) −6.45133 + 11.1740i −0.279964 + 0.484912i
\(532\) −3.67815 + 9.49545i −0.159468 + 0.411680i
\(533\) −20.7983 + 0.0784481i −0.900876 + 0.00339796i
\(534\) −5.45685 9.45154i −0.236141 0.409008i
\(535\) −8.31100 14.3951i −0.359316 0.622353i
\(536\) 0.583158 + 1.01006i 0.0251886 + 0.0436279i
\(537\) 6.25956 10.8419i 0.270120 0.467861i
\(538\) −13.5665 −0.584895
\(539\) −20.9251 19.0729i −0.901308 0.821527i
\(540\) −2.05781 3.56422i −0.0885539 0.153380i
\(541\) 2.37409 + 4.11204i 0.102070 + 0.176791i 0.912537 0.408993i \(-0.134120\pi\)
−0.810467 + 0.585784i \(0.800787\pi\)
\(542\) −4.85940 −0.208729
\(543\) −9.08638 15.7381i −0.389934 0.675385i
\(544\) 0.715381 0.0306717
\(545\) 57.0682 2.44453
\(546\) 3.41211 8.90828i 0.146025 0.381239i
\(547\) 2.85148 0.121921 0.0609603 0.998140i \(-0.480584\pi\)
0.0609603 + 0.998140i \(0.480584\pi\)
\(548\) −10.3848 −0.443617
\(549\) 4.71538 + 8.16728i 0.201248 + 0.348571i
\(550\) 48.2871 2.05897
\(551\) −17.3371 30.0288i −0.738587 1.27927i
\(552\) −2.04891 3.54881i −0.0872073 0.151047i
\(553\) 22.2430 + 27.6393i 0.945867 + 1.17534i
\(554\) 12.0625 0.512488
\(555\) −14.8079 + 25.6480i −0.628559 + 1.08870i
\(556\) −0.636394 1.10227i −0.0269891 0.0467466i
\(557\) −7.04985 12.2107i −0.298712 0.517384i 0.677130 0.735864i \(-0.263224\pi\)
−0.975842 + 0.218480i \(0.929890\pi\)
\(558\) 1.82642 + 3.16346i 0.0773187 + 0.133920i
\(559\) −4.59239 + 8.02400i −0.194238 + 0.339379i
\(560\) −6.82682 8.48306i −0.288486 0.358475i
\(561\) 1.44676 2.50587i 0.0610824 0.105798i
\(562\) 18.3963 0.776002
\(563\) −0.914813 −0.0385548 −0.0192774 0.999814i \(-0.506137\pi\)
−0.0192774 + 0.999814i \(0.506137\pi\)
\(564\) −1.28800 + 2.23088i −0.0542346 + 0.0939371i
\(565\) 30.0811 52.1020i 1.26552 2.19195i
\(566\) 0.347153 + 0.601286i 0.0145919 + 0.0252740i
\(567\) 1.65876 + 2.06119i 0.0696615 + 0.0865619i
\(568\) 5.10254 + 8.83786i 0.214098 + 0.370828i
\(569\) −22.0768 −0.925509 −0.462755 0.886486i \(-0.653139\pi\)
−0.462755 + 0.886486i \(0.653139\pi\)
\(570\) 7.92007 + 13.7180i 0.331735 + 0.574582i
\(571\) −1.38518 + 2.39921i −0.0579682 + 0.100404i −0.893553 0.448957i \(-0.851796\pi\)
0.835585 + 0.549361i \(0.185129\pi\)
\(572\) 7.24406 12.6571i 0.302889 0.529220i
\(573\) −4.46007 −0.186322
\(574\) 5.51270 14.2315i 0.230096 0.594012i
\(575\) 24.4604 42.3666i 1.02007 1.76681i
\(576\) −0.500000 + 0.866025i −0.0208333 + 0.0360844i
\(577\) −13.6418 + 23.6282i −0.567914 + 0.983656i 0.428858 + 0.903372i \(0.358916\pi\)
−0.996772 + 0.0802839i \(0.974417\pi\)
\(578\) −16.4882 −0.685820
\(579\) −4.34243 + 7.52130i −0.180465 + 0.312575i
\(580\) 37.0781 1.53959
\(581\) 40.5299 6.29298i 1.68147 0.261077i
\(582\) 3.10135 5.37170i 0.128555 0.222664i
\(583\) 10.9926 0.455267
\(584\) −1.25673 + 2.17673i −0.0520040 + 0.0900736i
\(585\) −7.46794 12.8229i −0.308761 0.530162i
\(586\) 5.44518 + 9.43133i 0.224938 + 0.389604i
\(587\) −15.1737 + 26.2816i −0.626286 + 1.08476i 0.362005 + 0.932176i \(0.382092\pi\)
−0.988291 + 0.152583i \(0.951241\pi\)
\(588\) 5.17342 + 4.71548i 0.213348 + 0.194463i
\(589\) −7.02952 12.1755i −0.289646 0.501682i
\(590\) 26.5512 + 45.9880i 1.09309 + 1.89330i
\(591\) −2.46794 −0.101517
\(592\) 7.19594 0.295751
\(593\) −21.2192 36.7527i −0.871367 1.50925i −0.860583 0.509311i \(-0.829900\pi\)
−0.0107847 0.999942i \(-0.503433\pi\)
\(594\) 2.02237 + 3.50284i 0.0829788 + 0.143723i
\(595\) −4.88378 6.06862i −0.200215 0.248789i
\(596\) −11.6810 + 20.2320i −0.478471 + 0.828736i
\(597\) 10.2841 + 17.8125i 0.420899 + 0.729018i
\(598\) −7.43565 12.7675i −0.304066 0.522100i
\(599\) 15.1759 26.2854i 0.620071 1.07399i −0.369401 0.929270i \(-0.620437\pi\)
0.989472 0.144724i \(-0.0462294\pi\)
\(600\) −11.9383 −0.487378
\(601\) −2.44125 + 4.22836i −0.0995805 + 0.172479i −0.911511 0.411275i \(-0.865083\pi\)
0.811931 + 0.583754i \(0.198417\pi\)
\(602\) −4.25335 5.28525i −0.173354 0.215411i
\(603\) −1.16632 −0.0474960
\(604\) 1.19832 2.07555i 0.0487589 0.0844529i
\(605\) −22.0592 −0.896834
\(606\) 8.15325 14.1218i 0.331203 0.573660i
\(607\) 6.39843 11.0824i 0.259704 0.449821i −0.706458 0.707755i \(-0.749708\pi\)
0.966163 + 0.257933i \(0.0830415\pi\)
\(608\) 1.92440 3.33315i 0.0780445 0.135177i
\(609\) −23.5537 + 3.65712i −0.954445 + 0.148194i
\(610\) 38.8134 1.57151
\(611\) −4.61358 + 8.06102i −0.186646 + 0.326114i
\(612\) −0.357690 + 0.619538i −0.0144588 + 0.0250433i
\(613\) −2.02495 3.50732i −0.0817871 0.141659i 0.822231 0.569155i \(-0.192729\pi\)
−0.904018 + 0.427495i \(0.859396\pi\)
\(614\) 23.7724 0.959377
\(615\) −11.8704 20.5601i −0.478660 0.829063i
\(616\) 6.70925 + 8.33697i 0.270324 + 0.335906i
\(617\) −7.16474 12.4097i −0.288441 0.499595i 0.684996 0.728546i \(-0.259804\pi\)
−0.973438 + 0.228951i \(0.926470\pi\)
\(618\) −1.46023 + 2.52920i −0.0587391 + 0.101739i
\(619\) −18.3950 + 31.8611i −0.739358 + 1.28061i 0.213427 + 0.976959i \(0.431537\pi\)
−0.952785 + 0.303646i \(0.901796\pi\)
\(620\) 15.0337 0.603768
\(621\) 4.09781 0.164440
\(622\) −10.9242 + 18.9212i −0.438020 + 0.758673i
\(623\) 28.5330 4.43025i 1.14315 0.177494i
\(624\) −1.79099 + 3.12928i −0.0716968 + 0.125271i
\(625\) −28.9154 50.0829i −1.15662 2.00332i
\(626\) 16.0323 + 27.7688i 0.640779 + 1.10986i
\(627\) −7.78367 13.4817i −0.310850 0.538408i
\(628\) 5.79083 10.0300i 0.231079 0.400241i
\(629\) 5.14784 0.205258
\(630\) 10.7600 1.67067i 0.428687 0.0665611i
\(631\) −18.8504 32.6498i −0.750422 1.29977i −0.947618 0.319405i \(-0.896517\pi\)
0.197197 0.980364i \(-0.436816\pi\)
\(632\) −6.70468 11.6129i −0.266698 0.461935i
\(633\) 4.45453 0.177052
\(634\) 10.3068 + 17.8520i 0.409336 + 0.708992i
\(635\) −10.4210 −0.413544
\(636\) −2.71776 −0.107766
\(637\) 18.7170 + 16.9314i 0.741595 + 0.670848i
\(638\) −36.4396 −1.44266
\(639\) −10.2051 −0.403707
\(640\) 2.05781 + 3.56422i 0.0813419 + 0.140888i
\(641\) −1.18808 −0.0469264 −0.0234632 0.999725i \(-0.507469\pi\)
−0.0234632 + 0.999725i \(0.507469\pi\)
\(642\) −2.01938 3.49768i −0.0796987 0.138042i
\(643\) −14.9781 25.9429i −0.590679 1.02309i −0.994141 0.108090i \(-0.965527\pi\)
0.403462 0.914996i \(-0.367807\pi\)
\(644\) 10.7134 1.66344i 0.422168 0.0655489i
\(645\) −10.5531 −0.415529
\(646\) 1.37668 2.38447i 0.0541646 0.0938158i
\(647\) 15.2109 + 26.3460i 0.598002 + 1.03577i 0.993116 + 0.117138i \(0.0373718\pi\)
−0.395114 + 0.918632i \(0.629295\pi\)
\(648\) −0.500000 0.866025i −0.0196419 0.0340207i
\(649\) −26.0939 45.1960i −1.02428 1.77410i
\(650\) −43.0437 + 0.162354i −1.68831 + 0.00636806i
\(651\) −9.55009 + 1.48282i −0.374298 + 0.0581162i
\(652\) −8.95432 + 15.5093i −0.350678 + 0.607392i
\(653\) −12.2930 −0.481061 −0.240530 0.970642i \(-0.577321\pi\)
−0.240530 + 0.970642i \(0.577321\pi\)
\(654\) 13.8663 0.542214
\(655\) −25.5850 + 44.3145i −0.999688 + 1.73151i
\(656\) −2.88423 + 4.99563i −0.112610 + 0.195047i
\(657\) −1.25673 2.17673i −0.0490299 0.0849222i
\(658\) −4.27298 5.30963i −0.166578 0.206991i
\(659\) 17.0038 + 29.4514i 0.662374 + 1.14727i 0.979990 + 0.199046i \(0.0637844\pi\)
−0.317616 + 0.948219i \(0.602882\pi\)
\(660\) 16.6466 0.647967
\(661\) −6.90834 11.9656i −0.268703 0.465408i 0.699824 0.714315i \(-0.253262\pi\)
−0.968527 + 0.248908i \(0.919928\pi\)
\(662\) −5.99781 + 10.3885i −0.233111 + 0.403761i
\(663\) −1.28124 + 2.23862i −0.0497591 + 0.0869410i
\(664\) −15.5024 −0.601611
\(665\) −41.4128 + 6.43006i −1.60592 + 0.249347i
\(666\) −3.59797 + 6.23187i −0.139419 + 0.241480i
\(667\) −18.4589 + 31.9717i −0.714731 + 1.23795i
\(668\) 3.15398 5.46286i 0.122031 0.211364i
\(669\) −4.99324 −0.193050
\(670\) −2.40005 + 4.15701i −0.0927221 + 0.160599i
\(671\) −38.1449 −1.47257
\(672\) −1.65876 2.06119i −0.0639881 0.0795122i
\(673\) 19.8004 34.2952i 0.763248 1.32198i −0.177920 0.984045i \(-0.556937\pi\)
0.941168 0.337939i \(-0.109730\pi\)
\(674\) −17.6146 −0.678487
\(675\) 5.96913 10.3388i 0.229752 0.397942i
\(676\) −6.41489 + 11.3070i −0.246726 + 0.434886i
\(677\) 16.8735 + 29.2258i 0.648503 + 1.12324i 0.983481 + 0.181013i \(0.0579378\pi\)
−0.334978 + 0.942226i \(0.608729\pi\)
\(678\) 7.30902 12.6596i 0.280701 0.486189i
\(679\) 10.2888 + 12.7850i 0.394849 + 0.490642i
\(680\) 1.47212 + 2.54978i 0.0564530 + 0.0977795i
\(681\) −0.786363 1.36202i −0.0301335 0.0521927i
\(682\) −14.7748 −0.565756
\(683\) 16.7899 0.642448 0.321224 0.947003i \(-0.395906\pi\)
0.321224 + 0.947003i \(0.395906\pi\)
\(684\) 1.92440 + 3.33315i 0.0735811 + 0.127446i
\(685\) −21.3699 37.0138i −0.816503 1.41422i
\(686\) −16.5777 + 8.25707i −0.632940 + 0.315256i
\(687\) −0.828619 + 1.43521i −0.0316138 + 0.0547567i
\(688\) 1.28209 + 2.22064i 0.0488791 + 0.0846610i
\(689\) −9.79894 + 0.0369601i −0.373310 + 0.00140807i
\(690\) 8.43251 14.6055i 0.321020 0.556023i
\(691\) −3.35925 −0.127792 −0.0638960 0.997957i \(-0.520353\pi\)
−0.0638960 + 0.997957i \(0.520353\pi\)
\(692\) 1.82563 3.16209i 0.0694002 0.120205i
\(693\) −10.5747 + 1.64190i −0.401698 + 0.0623706i
\(694\) −15.8504 −0.601672
\(695\) 2.61915 4.53651i 0.0993501 0.172079i
\(696\) 9.00914 0.341491
\(697\) −2.06332 + 3.57378i −0.0781539 + 0.135367i
\(698\) 5.15206 8.92363i 0.195008 0.337764i
\(699\) 3.86181 6.68885i 0.146067 0.252996i
\(700\) 11.4090 29.4532i 0.431218 1.11323i
\(701\) −51.6652 −1.95137 −0.975683 0.219186i \(-0.929660\pi\)
−0.975683 + 0.219186i \(0.929660\pi\)
\(702\) −1.81454 3.11568i −0.0684854 0.117594i
\(703\) 13.8478 23.9852i 0.522281 0.904618i
\(704\) −2.02237 3.50284i −0.0762209 0.132018i
\(705\) −10.6018 −0.399288
\(706\) 8.00975 + 13.8733i 0.301451 + 0.522128i
\(707\) 27.0486 + 33.6108i 1.01727 + 1.26406i
\(708\) 6.45133 + 11.1740i 0.242456 + 0.419946i
\(709\) 9.65303 16.7195i 0.362527 0.627916i −0.625849 0.779944i \(-0.715247\pi\)
0.988376 + 0.152029i \(0.0485806\pi\)
\(710\) −21.0001 + 36.3732i −0.788119 + 1.36506i
\(711\) 13.4094 0.502891
\(712\) −10.9137 −0.409008
\(713\) −7.48434 + 12.9633i −0.280291 + 0.485478i
\(714\) −1.18665 1.47454i −0.0444091 0.0551832i
\(715\) 60.0196 0.226385i 2.24461 0.00846631i
\(716\) −6.25956 10.8419i −0.233931 0.405180i
\(717\) −14.3815 24.9095i −0.537086 0.930261i
\(718\) 4.55623 + 7.89162i 0.170037 + 0.294513i
\(719\) 4.27657 7.40724i 0.159489 0.276243i −0.775195 0.631721i \(-0.782349\pi\)
0.934685 + 0.355478i \(0.115682\pi\)
\(720\) −4.11561 −0.153380
\(721\) −4.84436 6.01963i −0.180413 0.224183i
\(722\) 2.09340 + 3.62588i 0.0779084 + 0.134941i
\(723\) 12.8102 + 22.1879i 0.476417 + 0.825178i
\(724\) −18.1728 −0.675385
\(725\) 53.7767 + 93.1440i 1.99722 + 3.45928i
\(726\) −5.35989 −0.198924
\(727\) 37.0524 1.37420 0.687100 0.726563i \(-0.258884\pi\)
0.687100 + 0.726563i \(0.258884\pi\)
\(728\) −6.00874 7.40912i −0.222699 0.274600i
\(729\) 1.00000 0.0370370
\(730\) −10.3445 −0.382866
\(731\) 0.917180 + 1.58860i 0.0339231 + 0.0587566i
\(732\) 9.43076 0.348571
\(733\) 7.89197 + 13.6693i 0.291497 + 0.504887i 0.974164 0.225843i \(-0.0725135\pi\)
−0.682667 + 0.730729i \(0.739180\pi\)
\(734\) −5.11189 8.85406i −0.188683 0.326809i
\(735\) −6.16114 + 28.1428i −0.227257 + 1.03806i
\(736\) −4.09781 −0.151047
\(737\) 2.35872 4.08542i 0.0868845 0.150488i
\(738\) −2.88423 4.99563i −0.106170 0.183892i
\(739\) 18.1725 + 31.4757i 0.668487 + 1.15785i 0.978327 + 0.207065i \(0.0663911\pi\)
−0.309840 + 0.950789i \(0.600276\pi\)
\(740\) 14.8079 + 25.6480i 0.544348 + 0.942838i
\(741\) 6.98379 + 11.9916i 0.256556 + 0.440522i
\(742\) 2.59726 6.70504i 0.0953483 0.246150i
\(743\) −15.1149 + 26.1797i −0.554511 + 0.960441i 0.443430 + 0.896309i \(0.353761\pi\)
−0.997941 + 0.0641324i \(0.979572\pi\)
\(744\) 3.65285 0.133920
\(745\) −96.1487 −3.52262
\(746\) 14.0796 24.3866i 0.515492 0.892858i
\(747\) 7.75122 13.4255i 0.283602 0.491213i
\(748\) −1.44676 2.50587i −0.0528989 0.0916236i
\(749\) 10.5591 1.63948i 0.385819 0.0599052i
\(750\) −14.2776 24.7295i −0.521344 0.902995i
\(751\) 30.7238 1.12113 0.560563 0.828112i \(-0.310585\pi\)
0.560563 + 0.828112i \(0.310585\pi\)
\(752\) 1.28800 + 2.23088i 0.0469686 + 0.0813520i
\(753\) −0.339652 + 0.588295i −0.0123776 + 0.0214387i
\(754\) 32.4827 0.122520i 1.18295 0.00446190i
\(755\) 9.86363 0.358974
\(756\) 2.61442 0.405935i 0.0950857 0.0147637i
\(757\) −7.78491 + 13.4839i −0.282947 + 0.490079i −0.972109 0.234528i \(-0.924646\pi\)
0.689162 + 0.724607i \(0.257979\pi\)
\(758\) −3.08112 + 5.33666i −0.111911 + 0.193836i
\(759\) −8.28729 + 14.3540i −0.300809 + 0.521017i
\(760\) 15.8401 0.574582
\(761\) −11.9278 + 20.6596i −0.432382 + 0.748908i −0.997078 0.0763911i \(-0.975660\pi\)
0.564696 + 0.825299i \(0.308994\pi\)
\(762\) −2.53206 −0.0917270
\(763\) −13.2515 + 34.2098i −0.479736 + 1.23848i
\(764\) −2.23004 + 3.86254i −0.0806799 + 0.139742i
\(765\) −2.94423 −0.106449
\(766\) 9.48159 16.4226i 0.342584 0.593373i
\(767\) 23.4124 + 40.2005i 0.845373 + 1.45156i
\(768\) 0.500000 + 0.866025i 0.0180422 + 0.0312500i
\(769\) −23.2870 + 40.3342i −0.839750 + 1.45449i 0.0503539 + 0.998731i \(0.483965\pi\)
−0.890104 + 0.455758i \(0.849368\pi\)
\(770\) −15.9085 + 41.0692i −0.573302 + 1.48003i
\(771\) −1.22293 2.11818i −0.0440429 0.0762846i
\(772\) 4.34243 + 7.52130i 0.156287 + 0.270698i
\(773\) 7.50660 0.269994 0.134997 0.990846i \(-0.456898\pi\)
0.134997 + 0.990846i \(0.456898\pi\)
\(774\) −2.56417 −0.0921673
\(775\) 21.8043 + 37.7662i 0.783234 + 1.35660i
\(776\) −3.10135 5.37170i −0.111332 0.192833i
\(777\)