Properties

Label 546.2.bg.a.467.13
Level $546$
Weight $2$
Character 546.467
Analytic conductor $4.360$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
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 467.13
Character \(\chi\) \(=\) 546.467
Dual form 546.2.bg.a.311.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 + 0.866025i) q^{2} +(0.909476 - 1.47406i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-3.26421 - 1.88459i) q^{5} +(0.821836 + 1.52466i) q^{6} +(-0.385108 - 2.61757i) q^{7} +1.00000 q^{8} +(-1.34571 - 2.68124i) q^{9} +O(q^{10})\) \(q+(-0.500000 + 0.866025i) q^{2} +(0.909476 - 1.47406i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-3.26421 - 1.88459i) q^{5} +(0.821836 + 1.52466i) q^{6} +(-0.385108 - 2.61757i) q^{7} +1.00000 q^{8} +(-1.34571 - 2.68124i) q^{9} +(3.26421 - 1.88459i) q^{10} +(1.89239 + 3.27771i) q^{11} +(-1.73131 - 0.0505991i) q^{12} +(-2.90274 + 2.13872i) q^{13} +(2.45944 + 0.975274i) q^{14} +(-5.74673 + 3.09765i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(1.16015 + 2.00944i) q^{17} +(2.99488 + 0.175206i) q^{18} +(-3.00909 + 5.21190i) q^{19} +3.76919i q^{20} +(-4.20871 - 1.81295i) q^{21} -3.78477 q^{22} +(-5.79704 - 3.34692i) q^{23} +(0.909476 - 1.47406i) q^{24} +(4.60338 + 7.97329i) q^{25} +(-0.400812 - 3.58320i) q^{26} +(-5.17620 - 0.454874i) q^{27} +(-2.07433 + 1.64230i) q^{28} -3.07761i q^{29} +(0.190718 - 6.52564i) q^{30} +(-4.94611 - 8.56691i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(6.55262 + 0.191506i) q^{33} -2.32031 q^{34} +(-3.67599 + 9.27009i) q^{35} +(-1.64917 + 2.50604i) q^{36} +(5.92523 + 3.42094i) q^{37} +(-3.00909 - 5.21190i) q^{38} +(0.512624 + 6.22392i) q^{39} +(-3.26421 - 1.88459i) q^{40} -6.69591i q^{41} +(3.67441 - 2.73837i) q^{42} -3.47280 q^{43} +(1.89239 - 3.27771i) q^{44} +(-0.660383 + 11.2883i) q^{45} +(5.79704 - 3.34692i) q^{46} +(6.71987 + 3.87972i) q^{47} +(0.821836 + 1.52466i) q^{48} +(-6.70338 + 2.01610i) q^{49} -9.20677 q^{50} +(4.01717 + 0.117406i) q^{51} +(3.30355 + 1.44449i) q^{52} +(0.653696 - 0.377412i) q^{53} +(2.98203 - 4.25529i) q^{54} -14.2655i q^{55} +(-0.385108 - 2.61757i) q^{56} +(4.94596 + 9.17568i) q^{57} +(2.66529 + 1.53881i) q^{58} +(3.68691 - 2.12864i) q^{59} +(5.55601 + 3.42798i) q^{60} +(-8.37307 - 4.83419i) q^{61} +9.89221 q^{62} +(-6.50011 + 4.55506i) q^{63} +1.00000 q^{64} +(13.5058 - 1.51074i) q^{65} +(-3.44216 + 5.57898i) q^{66} +(4.51984 - 2.60953i) q^{67} +(1.16015 - 2.00944i) q^{68} +(-10.2058 + 5.50124i) q^{69} +(-6.19013 - 7.81854i) q^{70} -6.23494 q^{71} +(-1.34571 - 2.68124i) q^{72} +(-2.53273 - 4.38682i) q^{73} +(-5.92523 + 3.42094i) q^{74} +(15.9398 + 0.465854i) q^{75} +6.01818 q^{76} +(7.85087 - 6.21573i) q^{77} +(-5.64639 - 2.66802i) q^{78} +(-0.402095 + 0.696449i) q^{79} +(3.26421 - 1.88459i) q^{80} +(-5.37814 + 7.21634i) q^{81} +(5.79883 + 3.34796i) q^{82} -6.88779i q^{83} +(0.534294 + 4.55132i) q^{84} -8.74567i q^{85} +(1.73640 - 3.00754i) q^{86} +(-4.53658 - 2.79901i) q^{87} +(1.89239 + 3.27771i) q^{88} +(-13.5271 - 7.80988i) q^{89} +(-9.44573 - 6.21604i) q^{90} +(6.71611 + 6.77450i) q^{91} +6.69384i q^{92} +(-17.1265 - 0.500537i) q^{93} +(-6.71987 + 3.87972i) q^{94} +(19.6446 - 11.3418i) q^{95} +(-1.73131 - 0.0505991i) q^{96} -5.04512 q^{97} +(1.60570 - 6.81335i) q^{98} +(6.24174 - 9.48478i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 18q^{2} - 18q^{4} + 36q^{8} + 4q^{9} + O(q^{10}) \) \( 36q - 18q^{2} - 18q^{4} + 36q^{8} + 4q^{9} - 14q^{15} - 18q^{16} + 4q^{18} + 23q^{21} + 14q^{25} - 6q^{26} + 7q^{30} - 18q^{32} + 24q^{33} - 8q^{36} - 10q^{39} - 16q^{42} - 16q^{43} - 9q^{45} + 72q^{47} + 12q^{49} - 28q^{50} - 3q^{51} + 6q^{52} + 9q^{54} - 8q^{57} + 24q^{59} + 7q^{60} - 36q^{61} - 39q^{63} + 36q^{64} + 18q^{65} - 24q^{66} - 72q^{71} + 4q^{72} + 54q^{75} + 20q^{78} + 20q^{79} - 20q^{81} - 24q^{82} - 7q^{84} + 8q^{86} - 24q^{87} - 72q^{89} - 2q^{91} - 14q^{93} - 72q^{94} - 12q^{98} + 72q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 + 0.866025i −0.353553 + 0.612372i
\(3\) 0.909476 1.47406i 0.525086 0.851049i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) −3.26421 1.88459i −1.45980 0.842816i −0.460799 0.887505i \(-0.652437\pi\)
−0.999001 + 0.0446889i \(0.985770\pi\)
\(6\) 0.821836 + 1.52466i 0.335513 + 0.622440i
\(7\) −0.385108 2.61757i −0.145557 0.989350i
\(8\) 1.00000 0.353553
\(9\) −1.34571 2.68124i −0.448569 0.893748i
\(10\) 3.26421 1.88459i 1.03223 0.595961i
\(11\) 1.89239 + 3.27771i 0.570576 + 0.988266i 0.996507 + 0.0835105i \(0.0266132\pi\)
−0.425931 + 0.904756i \(0.640053\pi\)
\(12\) −1.73131 0.0505991i −0.499787 0.0146067i
\(13\) −2.90274 + 2.13872i −0.805075 + 0.593173i
\(14\) 2.45944 + 0.975274i 0.657313 + 0.260653i
\(15\) −5.74673 + 3.09765i −1.48380 + 0.799810i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 1.16015 + 2.00944i 0.281379 + 0.487362i 0.971725 0.236117i \(-0.0758750\pi\)
−0.690346 + 0.723479i \(0.742542\pi\)
\(18\) 2.99488 + 0.175206i 0.705900 + 0.0412964i
\(19\) −3.00909 + 5.21190i −0.690333 + 1.19569i 0.281396 + 0.959592i \(0.409202\pi\)
−0.971729 + 0.236100i \(0.924131\pi\)
\(20\) 3.76919i 0.842816i
\(21\) −4.20871 1.81295i −0.918415 0.395618i
\(22\) −3.78477 −0.806916
\(23\) −5.79704 3.34692i −1.20877 0.697881i −0.246276 0.969200i \(-0.579207\pi\)
−0.962490 + 0.271319i \(0.912540\pi\)
\(24\) 0.909476 1.47406i 0.185646 0.300891i
\(25\) 4.60338 + 7.97329i 0.920677 + 1.59466i
\(26\) −0.400812 3.58320i −0.0786057 0.702724i
\(27\) −5.17620 0.454874i −0.996161 0.0875405i
\(28\) −2.07433 + 1.64230i −0.392012 + 0.310366i
\(29\) 3.07761i 0.571498i −0.958304 0.285749i \(-0.907758\pi\)
0.958304 0.285749i \(-0.0922424\pi\)
\(30\) 0.190718 6.52564i 0.0348201 1.19141i
\(31\) −4.94611 8.56691i −0.888347 1.53866i −0.841829 0.539745i \(-0.818521\pi\)
−0.0465184 0.998917i \(-0.514813\pi\)
\(32\) −0.500000 0.866025i −0.0883883 0.153093i
\(33\) 6.55262 + 0.191506i 1.14066 + 0.0333369i
\(34\) −2.32031 −0.397929
\(35\) −3.67599 + 9.27009i −0.621356 + 1.56693i
\(36\) −1.64917 + 2.50604i −0.274862 + 0.417673i
\(37\) 5.92523 + 3.42094i 0.974102 + 0.562398i 0.900484 0.434888i \(-0.143212\pi\)
0.0736180 + 0.997287i \(0.476545\pi\)
\(38\) −3.00909 5.21190i −0.488139 0.845481i
\(39\) 0.512624 + 6.22392i 0.0820855 + 0.996625i
\(40\) −3.26421 1.88459i −0.516117 0.297980i
\(41\) 6.69591i 1.04573i −0.852417 0.522863i \(-0.824864\pi\)
0.852417 0.522863i \(-0.175136\pi\)
\(42\) 3.67441 2.73837i 0.566974 0.422540i
\(43\) −3.47280 −0.529598 −0.264799 0.964304i \(-0.585306\pi\)
−0.264799 + 0.964304i \(0.585306\pi\)
\(44\) 1.89239 3.27771i 0.285288 0.494133i
\(45\) −0.660383 + 11.2883i −0.0984441 + 1.68275i
\(46\) 5.79704 3.34692i 0.854726 0.493477i
\(47\) 6.71987 + 3.87972i 0.980194 + 0.565915i 0.902329 0.431049i \(-0.141856\pi\)
0.0778650 + 0.996964i \(0.475190\pi\)
\(48\) 0.821836 + 1.52466i 0.118622 + 0.220066i
\(49\) −6.70338 + 2.01610i −0.957626 + 0.288014i
\(50\) −9.20677 −1.30203
\(51\) 4.01717 + 0.117406i 0.562517 + 0.0164401i
\(52\) 3.30355 + 1.44449i 0.458120 + 0.200314i
\(53\) 0.653696 0.377412i 0.0897921 0.0518415i −0.454432 0.890782i \(-0.650158\pi\)
0.544224 + 0.838940i \(0.316824\pi\)
\(54\) 2.98203 4.25529i 0.405803 0.579071i
\(55\) 14.2655i 1.92356i
\(56\) −0.385108 2.61757i −0.0514622 0.349788i
\(57\) 4.94596 + 9.17568i 0.655108 + 1.21535i
\(58\) 2.66529 + 1.53881i 0.349970 + 0.202055i
\(59\) 3.68691 2.12864i 0.479994 0.277125i −0.240420 0.970669i \(-0.577285\pi\)
0.720414 + 0.693544i \(0.243952\pi\)
\(60\) 5.55601 + 3.42798i 0.717278 + 0.442551i
\(61\) −8.37307 4.83419i −1.07206 0.618955i −0.143317 0.989677i \(-0.545777\pi\)
−0.928744 + 0.370722i \(0.879110\pi\)
\(62\) 9.89221 1.25631
\(63\) −6.50011 + 4.55506i −0.818937 + 0.573883i
\(64\) 1.00000 0.125000
\(65\) 13.5058 1.51074i 1.67518 0.187384i
\(66\) −3.44216 + 5.57898i −0.423700 + 0.686725i
\(67\) 4.51984 2.60953i 0.552187 0.318805i −0.197817 0.980239i \(-0.563385\pi\)
0.750004 + 0.661434i \(0.230052\pi\)
\(68\) 1.16015 2.00944i 0.140689 0.243681i
\(69\) −10.2058 + 5.50124i −1.22864 + 0.662271i
\(70\) −6.19013 7.81854i −0.739863 0.934495i
\(71\) −6.23494 −0.739951 −0.369976 0.929041i \(-0.620634\pi\)
−0.369976 + 0.929041i \(0.620634\pi\)
\(72\) −1.34571 2.68124i −0.158593 0.315988i
\(73\) −2.53273 4.38682i −0.296434 0.513438i 0.678884 0.734246i \(-0.262464\pi\)
−0.975317 + 0.220808i \(0.929131\pi\)
\(74\) −5.92523 + 3.42094i −0.688794 + 0.397676i
\(75\) 15.9398 + 0.465854i 1.84057 + 0.0537922i
\(76\) 6.01818 0.690333
\(77\) 7.85087 6.21573i 0.894690 0.708348i
\(78\) −5.64639 2.66802i −0.639327 0.302093i
\(79\) −0.402095 + 0.696449i −0.0452392 + 0.0783566i −0.887758 0.460310i \(-0.847738\pi\)
0.842519 + 0.538666i \(0.181072\pi\)
\(80\) 3.26421 1.88459i 0.364950 0.210704i
\(81\) −5.37814 + 7.21634i −0.597572 + 0.801816i
\(82\) 5.79883 + 3.34796i 0.640374 + 0.369720i
\(83\) 6.88779i 0.756033i −0.925799 0.378017i \(-0.876606\pi\)
0.925799 0.378017i \(-0.123394\pi\)
\(84\) 0.534294 + 4.55132i 0.0582963 + 0.496590i
\(85\) 8.74567i 0.948601i
\(86\) 1.73640 3.00754i 0.187241 0.324311i
\(87\) −4.53658 2.79901i −0.486373 0.300086i
\(88\) 1.89239 + 3.27771i 0.201729 + 0.349405i
\(89\) −13.5271 7.80988i −1.43387 0.827845i −0.436457 0.899725i \(-0.643767\pi\)
−0.997413 + 0.0718798i \(0.977100\pi\)
\(90\) −9.44573 6.21604i −0.995667 0.655228i
\(91\) 6.71611 + 6.77450i 0.704040 + 0.710160i
\(92\) 6.69384i 0.697881i
\(93\) −17.1265 0.500537i −1.77594 0.0519033i
\(94\) −6.71987 + 3.87972i −0.693102 + 0.400162i
\(95\) 19.6446 11.3418i 2.01549 1.16365i
\(96\) −1.73131 0.0505991i −0.176701 0.00516425i
\(97\) −5.04512 −0.512255 −0.256127 0.966643i \(-0.582447\pi\)
−0.256127 + 0.966643i \(0.582447\pi\)
\(98\) 1.60570 6.81335i 0.162200 0.688252i
\(99\) 6.24174 9.48478i 0.627318 0.953257i
\(100\) 4.60338 7.97329i 0.460338 0.797329i
\(101\) −0.710555 1.23072i −0.0707029 0.122461i 0.828507 0.559979i \(-0.189191\pi\)
−0.899210 + 0.437518i \(0.855858\pi\)
\(102\) −2.11026 + 3.42027i −0.208947 + 0.338657i
\(103\) −9.99478 5.77049i −0.984814 0.568583i −0.0810943 0.996706i \(-0.525841\pi\)
−0.903720 + 0.428124i \(0.859175\pi\)
\(104\) −2.90274 + 2.13872i −0.284637 + 0.209718i
\(105\) 10.3214 + 13.8495i 1.00727 + 1.35158i
\(106\) 0.754823i 0.0733149i
\(107\) −4.75556 2.74562i −0.459737 0.265430i 0.252196 0.967676i \(-0.418847\pi\)
−0.711934 + 0.702247i \(0.752180\pi\)
\(108\) 2.19417 + 4.71016i 0.211134 + 0.453235i
\(109\) 0.280553 0.161977i 0.0268721 0.0155146i −0.486504 0.873678i \(-0.661728\pi\)
0.513376 + 0.858164i \(0.328395\pi\)
\(110\) 12.3543 + 7.13275i 1.17794 + 0.680081i
\(111\) 10.4315 5.62289i 0.990116 0.533701i
\(112\) 2.45944 + 0.975274i 0.232395 + 0.0921547i
\(113\) 11.6924i 1.09993i 0.835187 + 0.549965i \(0.185359\pi\)
−0.835187 + 0.549965i \(0.814641\pi\)
\(114\) −10.4193 0.304515i −0.975861 0.0285204i
\(115\) 12.6152 + 21.8501i 1.17637 + 2.03753i
\(116\) −2.66529 + 1.53881i −0.247466 + 0.142875i
\(117\) 9.64066 + 4.90487i 0.891279 + 0.453455i
\(118\) 4.25727i 0.391914i
\(119\) 4.81309 3.81064i 0.441215 0.349321i
\(120\) −5.74673 + 3.09765i −0.524602 + 0.282776i
\(121\) −1.66224 + 2.87909i −0.151113 + 0.261736i
\(122\) 8.37307 4.83419i 0.758062 0.437667i
\(123\) −9.87018 6.08977i −0.889964 0.549096i
\(124\) −4.94611 + 8.56691i −0.444174 + 0.769331i
\(125\) 15.8561i 1.41821i
\(126\) −0.694737 7.90679i −0.0618921 0.704393i
\(127\) 12.1818 1.08096 0.540482 0.841356i \(-0.318242\pi\)
0.540482 + 0.841356i \(0.318242\pi\)
\(128\) −0.500000 + 0.866025i −0.0441942 + 0.0765466i
\(129\) −3.15843 + 5.11912i −0.278084 + 0.450714i
\(130\) −5.44455 + 12.4517i −0.477518 + 1.09209i
\(131\) −0.646676 + 1.12008i −0.0565003 + 0.0978614i −0.892892 0.450271i \(-0.851328\pi\)
0.836392 + 0.548132i \(0.184661\pi\)
\(132\) −3.11046 5.77049i −0.270731 0.502256i
\(133\) 14.8013 + 5.86937i 1.28344 + 0.508939i
\(134\) 5.21907i 0.450859i
\(135\) 16.0390 + 11.2398i 1.38041 + 0.967372i
\(136\) 1.16015 + 2.00944i 0.0994823 + 0.172308i
\(137\) 1.45303 + 2.51672i 0.124141 + 0.215018i 0.921397 0.388623i \(-0.127049\pi\)
−0.797256 + 0.603641i \(0.793716\pi\)
\(138\) 0.338702 11.5891i 0.0288323 0.986532i
\(139\) 5.34738i 0.453558i −0.973946 0.226779i \(-0.927180\pi\)
0.973946 0.226779i \(-0.0728196\pi\)
\(140\) 9.86612 1.45154i 0.833840 0.122678i
\(141\) 11.8305 6.37698i 0.996308 0.537039i
\(142\) 3.11747 5.39962i 0.261612 0.453126i
\(143\) −12.5032 5.46706i −1.04557 0.457178i
\(144\) 2.99488 + 0.175206i 0.249573 + 0.0146005i
\(145\) −5.80004 + 10.0460i −0.481668 + 0.834273i
\(146\) 5.06546 0.419220
\(147\) −3.12472 + 11.7148i −0.257723 + 0.966219i
\(148\) 6.84187i 0.562398i
\(149\) 2.35181 4.07346i 0.192668 0.333711i −0.753465 0.657487i \(-0.771619\pi\)
0.946134 + 0.323777i \(0.104953\pi\)
\(150\) −8.37333 + 13.5713i −0.683680 + 1.10809i
\(151\) −5.51385 + 3.18342i −0.448711 + 0.259063i −0.707285 0.706928i \(-0.750080\pi\)
0.258575 + 0.965991i \(0.416747\pi\)
\(152\) −3.00909 + 5.21190i −0.244069 + 0.422741i
\(153\) 3.82659 5.81478i 0.309361 0.470097i
\(154\) 1.45754 + 9.90692i 0.117452 + 0.798322i
\(155\) 37.2856i 2.99485i
\(156\) 5.13376 3.55591i 0.411030 0.284700i
\(157\) −9.82232 + 5.67092i −0.783906 + 0.452588i −0.837813 0.545958i \(-0.816166\pi\)
0.0539067 + 0.998546i \(0.482833\pi\)
\(158\) −0.402095 0.696449i −0.0319889 0.0554065i
\(159\) 0.0381934 1.30683i 0.00302893 0.103639i
\(160\) 3.76919i 0.297980i
\(161\) −6.52833 + 16.4631i −0.514504 + 1.29747i
\(162\) −3.56046 8.26578i −0.279736 0.649421i
\(163\) 7.92899 + 4.57780i 0.621046 + 0.358561i 0.777276 0.629159i \(-0.216601\pi\)
−0.156230 + 0.987721i \(0.549934\pi\)
\(164\) −5.79883 + 3.34796i −0.452813 + 0.261431i
\(165\) −21.0282 12.9741i −1.63704 1.01004i
\(166\) 5.96500 + 3.44389i 0.462974 + 0.267298i
\(167\) 6.31465i 0.488642i 0.969694 + 0.244321i \(0.0785651\pi\)
−0.969694 + 0.244321i \(0.921435\pi\)
\(168\) −4.20871 1.81295i −0.324709 0.139872i
\(169\) 3.85179 12.4163i 0.296292 0.955097i
\(170\) 7.57397 + 4.37284i 0.580897 + 0.335381i
\(171\) 18.0237 + 1.05442i 1.37831 + 0.0806335i
\(172\) 1.73640 + 3.00754i 0.132399 + 0.229323i
\(173\) 7.91626 13.7114i 0.601862 1.04246i −0.390677 0.920528i \(-0.627759\pi\)
0.992539 0.121928i \(-0.0389077\pi\)
\(174\) 4.69231 2.52929i 0.355723 0.191745i
\(175\) 19.0979 15.1203i 1.44366 1.14299i
\(176\) −3.78477 −0.285288
\(177\) 0.215414 7.37067i 0.0161915 0.554013i
\(178\) 13.5271 7.80988i 1.01390 0.585375i
\(179\) 14.2272 8.21410i 1.06339 0.613950i 0.137024 0.990568i \(-0.456246\pi\)
0.926369 + 0.376617i \(0.122913\pi\)
\(180\) 10.1061 5.07222i 0.753265 0.378061i
\(181\) 10.7381i 0.798156i −0.916917 0.399078i \(-0.869330\pi\)
0.916917 0.399078i \(-0.130670\pi\)
\(182\) −9.22494 + 2.42907i −0.683798 + 0.180055i
\(183\) −14.7410 + 7.94582i −1.08969 + 0.587372i
\(184\) −5.79704 3.34692i −0.427363 0.246738i
\(185\) −12.8941 22.3333i −0.947996 1.64198i
\(186\) 8.99673 14.5817i 0.659672 1.06918i
\(187\) −4.39092 + 7.60529i −0.321096 + 0.556154i
\(188\) 7.75944i 0.565915i
\(189\) 0.802730 + 13.7243i 0.0583900 + 0.998294i
\(190\) 22.6836i 1.64564i
\(191\) 9.19327 + 5.30774i 0.665201 + 0.384054i 0.794256 0.607583i \(-0.207861\pi\)
−0.129055 + 0.991637i \(0.541194\pi\)
\(192\) 0.909476 1.47406i 0.0656358 0.106381i
\(193\) 3.91178 2.25847i 0.281576 0.162568i −0.352560 0.935789i \(-0.614689\pi\)
0.634137 + 0.773221i \(0.281356\pi\)
\(194\) 2.52256 4.36920i 0.181109 0.313691i
\(195\) 10.0563 21.2823i 0.720143 1.52406i
\(196\) 5.09768 + 4.79725i 0.364120 + 0.342661i
\(197\) 14.2398 1.01454 0.507271 0.861787i \(-0.330654\pi\)
0.507271 + 0.861787i \(0.330654\pi\)
\(198\) 5.09319 + 10.1479i 0.361957 + 0.721180i
\(199\) 20.5340 11.8553i 1.45561 0.840399i 0.456823 0.889558i \(-0.348987\pi\)
0.998791 + 0.0491586i \(0.0156540\pi\)
\(200\) 4.60338 + 7.97329i 0.325508 + 0.563797i
\(201\) 0.264080 9.03583i 0.0186268 0.637338i
\(202\) 1.42111 0.0999890
\(203\) −8.05587 + 1.18521i −0.565411 + 0.0831855i
\(204\) −1.90691 3.53768i −0.133510 0.247687i
\(205\) −12.6191 + 21.8569i −0.881354 + 1.52655i
\(206\) 9.99478 5.77049i 0.696369 0.402049i
\(207\) −1.17280 + 20.0472i −0.0815152 + 1.39338i
\(208\) −0.400812 3.58320i −0.0277913 0.248450i
\(209\) −22.7774 −1.57555
\(210\) −17.1548 + 2.01386i −1.18379 + 0.138969i
\(211\) −13.0673 −0.899588 −0.449794 0.893132i \(-0.648503\pi\)
−0.449794 + 0.893132i \(0.648503\pi\)
\(212\) −0.653696 0.377412i −0.0448960 0.0259207i
\(213\) −5.67053 + 9.19068i −0.388538 + 0.629735i
\(214\) 4.75556 2.74562i 0.325083 0.187687i
\(215\) 11.3360 + 6.54482i 0.773107 + 0.446353i
\(216\) −5.17620 0.454874i −0.352196 0.0309502i
\(217\) −20.5197 + 16.2460i −1.39297 + 1.10285i
\(218\) 0.323955i 0.0219410i
\(219\) −8.76989 0.256308i −0.592614 0.0173197i
\(220\) −12.3543 + 7.13275i −0.832926 + 0.480890i
\(221\) −7.66525 3.35166i −0.515621 0.225457i
\(222\) −0.346193 + 11.8454i −0.0232349 + 0.795012i
\(223\) −2.14629 −0.143726 −0.0718632 0.997414i \(-0.522894\pi\)
−0.0718632 + 0.997414i \(0.522894\pi\)
\(224\) −2.07433 + 1.64230i −0.138597 + 0.109731i
\(225\) 15.1835 23.0725i 1.01224 1.53817i
\(226\) −10.1259 5.84621i −0.673567 0.388884i
\(227\) 14.1171 8.15053i 0.936987 0.540970i 0.0479723 0.998849i \(-0.484724\pi\)
0.889014 + 0.457879i \(0.151391\pi\)
\(228\) 5.47339 8.87116i 0.362484 0.587507i
\(229\) −12.6694 + 21.9440i −0.837215 + 1.45010i 0.0549995 + 0.998486i \(0.482484\pi\)
−0.892214 + 0.451612i \(0.850849\pi\)
\(230\) −25.2303 −1.66364
\(231\) −2.02218 17.2257i −0.133050 1.13337i
\(232\) 3.07761i 0.202055i
\(233\) −18.8229 10.8674i −1.23313 0.711947i −0.265447 0.964125i \(-0.585520\pi\)
−0.967681 + 0.252179i \(0.918853\pi\)
\(234\) −9.06807 + 5.89662i −0.592798 + 0.385474i
\(235\) −14.6234 25.3284i −0.953924 1.65225i
\(236\) −3.68691 2.12864i −0.239997 0.138562i
\(237\) 0.660912 + 1.22611i 0.0429308 + 0.0796447i
\(238\) 0.893568 + 6.07357i 0.0579214 + 0.393691i
\(239\) −22.1257 −1.43119 −0.715597 0.698514i \(-0.753845\pi\)
−0.715597 + 0.698514i \(0.753845\pi\)
\(240\) 0.190718 6.52564i 0.0123108 0.421228i
\(241\) −6.28726 10.8899i −0.404998 0.701477i 0.589323 0.807897i \(-0.299395\pi\)
−0.994321 + 0.106420i \(0.966061\pi\)
\(242\) −1.66224 2.87909i −0.106853 0.185075i
\(243\) 5.74603 + 14.4908i 0.368608 + 0.929585i
\(244\) 9.66839i 0.618955i
\(245\) 25.6808 + 6.05219i 1.64069 + 0.386660i
\(246\) 10.2090 5.50294i 0.650901 0.350855i
\(247\) −2.41216 21.5644i −0.153482 1.37211i
\(248\) −4.94611 8.56691i −0.314078 0.543999i
\(249\) −10.1530 6.26428i −0.643421 0.396983i
\(250\) 13.7318 + 7.92805i 0.868474 + 0.501414i
\(251\) −8.59657 −0.542611 −0.271305 0.962493i \(-0.587455\pi\)
−0.271305 + 0.962493i \(0.587455\pi\)
\(252\) 7.19485 + 3.35174i 0.453233 + 0.211139i
\(253\) 25.3347i 1.59278i
\(254\) −6.09092 + 10.5498i −0.382178 + 0.661952i
\(255\) −12.8916 7.95398i −0.807306 0.498097i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −10.8190 + 18.7391i −0.674873 + 1.16891i 0.301633 + 0.953424i \(0.402468\pi\)
−0.976506 + 0.215490i \(0.930865\pi\)
\(258\) −2.85407 5.29484i −0.177687 0.329643i
\(259\) 6.67270 16.8272i 0.414621 1.04559i
\(260\) −8.06122 10.9410i −0.499935 0.678530i
\(261\) −8.25183 + 4.14156i −0.510775 + 0.256356i
\(262\) −0.646676 1.12008i −0.0399518 0.0691985i
\(263\) 12.6463 7.30132i 0.779802 0.450219i −0.0565583 0.998399i \(-0.518013\pi\)
0.836360 + 0.548181i \(0.184679\pi\)
\(264\) 6.55262 + 0.191506i 0.403286 + 0.0117864i
\(265\) −2.84507 −0.174771
\(266\) −12.4837 + 9.88366i −0.765425 + 0.606006i
\(267\) −23.8148 + 12.8369i −1.45744 + 0.785604i
\(268\) −4.51984 2.60953i −0.276093 0.159403i
\(269\) 8.55131 + 14.8113i 0.521382 + 0.903061i 0.999691 + 0.0248689i \(0.00791684\pi\)
−0.478308 + 0.878192i \(0.658750\pi\)
\(270\) −17.7535 + 8.27024i −1.08044 + 0.503310i
\(271\) 14.9138 25.8315i 0.905949 1.56915i 0.0863103 0.996268i \(-0.472492\pi\)
0.819639 0.572881i \(-0.194174\pi\)
\(272\) −2.32031 −0.140689
\(273\) 16.0942 3.73871i 0.974063 0.226277i
\(274\) −2.90606 −0.175561
\(275\) −17.4228 + 30.1771i −1.05063 + 1.81975i
\(276\) 9.86713 + 6.08789i 0.593931 + 0.366448i
\(277\) −7.84269 13.5839i −0.471221 0.816179i 0.528237 0.849097i \(-0.322853\pi\)
−0.999458 + 0.0329179i \(0.989520\pi\)
\(278\) 4.63096 + 2.67369i 0.277747 + 0.160357i
\(279\) −16.3140 + 24.7903i −0.976692 + 1.48415i
\(280\) −3.67599 + 9.27009i −0.219682 + 0.553994i
\(281\) −21.2682 −1.26875 −0.634376 0.773025i \(-0.718743\pi\)
−0.634376 + 0.773025i \(0.718743\pi\)
\(282\) −0.392621 + 13.4340i −0.0233802 + 0.799983i
\(283\) 28.1781 16.2686i 1.67501 0.967069i 0.710250 0.703950i \(-0.248582\pi\)
0.964763 0.263119i \(-0.0847512\pi\)
\(284\) 3.11747 + 5.39962i 0.184988 + 0.320408i
\(285\) 1.14777 39.2725i 0.0679882 2.32630i
\(286\) 10.9862 8.09455i 0.649628 0.478641i
\(287\) −17.5270 + 2.57865i −1.03459 + 0.152213i
\(288\) −1.64917 + 2.50604i −0.0971784 + 0.147670i
\(289\) 5.80809 10.0599i 0.341652 0.591759i
\(290\) −5.80004 10.0460i −0.340590 0.589920i
\(291\) −4.58842 + 7.43681i −0.268978 + 0.435954i
\(292\) −2.53273 + 4.38682i −0.148217 + 0.256719i
\(293\) 15.1575i 0.885509i 0.896643 + 0.442755i \(0.145999\pi\)
−0.896643 + 0.442755i \(0.854001\pi\)
\(294\) −8.58294 8.56348i −0.500567 0.499432i
\(295\) −16.0465 −0.934261
\(296\) 5.92523 + 3.42094i 0.344397 + 0.198838i
\(297\) −8.30443 17.8269i −0.481872 1.03442i
\(298\) 2.35181 + 4.07346i 0.136237 + 0.235969i
\(299\) 23.9854 2.68297i 1.38711 0.155160i
\(300\) −7.56645 14.0372i −0.436849 0.810437i
\(301\) 1.33740 + 9.09032i 0.0770867 + 0.523958i
\(302\) 6.36684i 0.366371i
\(303\) −2.46039 0.0719070i −0.141345 0.00413095i
\(304\) −3.00909 5.21190i −0.172583 0.298923i
\(305\) 18.2210 + 31.5597i 1.04333 + 1.80710i
\(306\) 3.12245 + 6.22131i 0.178499 + 0.355649i
\(307\) 22.7279 1.29715 0.648576 0.761150i \(-0.275365\pi\)
0.648576 + 0.761150i \(0.275365\pi\)
\(308\) −9.30841 3.69119i −0.530396 0.210325i
\(309\) −17.5961 + 9.48478i −1.00100 + 0.539570i
\(310\) −32.2903 18.6428i −1.83396 1.05884i
\(311\) 3.17259 + 5.49509i 0.179901 + 0.311598i 0.941847 0.336043i \(-0.109089\pi\)
−0.761945 + 0.647641i \(0.775756\pi\)
\(312\) 0.512624 + 6.22392i 0.0290216 + 0.352360i
\(313\) 9.83094 + 5.67590i 0.555678 + 0.320821i 0.751409 0.659837i \(-0.229375\pi\)
−0.195731 + 0.980658i \(0.562708\pi\)
\(314\) 11.3418i 0.640057i
\(315\) 29.8022 2.61859i 1.67916 0.147541i
\(316\) 0.804189 0.0452392
\(317\) −0.315688 + 0.546787i −0.0177308 + 0.0307106i −0.874755 0.484566i \(-0.838978\pi\)
0.857024 + 0.515277i \(0.172311\pi\)
\(318\) 1.11266 + 0.686494i 0.0623946 + 0.0384967i
\(319\) 10.0875 5.82403i 0.564792 0.326083i
\(320\) −3.26421 1.88459i −0.182475 0.105352i
\(321\) −8.37228 + 4.51290i −0.467295 + 0.251886i
\(322\) −10.9933 13.8852i −0.612632 0.773794i
\(323\) −13.9640 −0.776979
\(324\) 8.93861 + 1.04944i 0.496589 + 0.0583022i
\(325\) −30.4150 13.2991i −1.68712 0.737700i
\(326\) −7.92899 + 4.57780i −0.439146 + 0.253541i
\(327\) 0.0163918 0.560867i 0.000906470 0.0310160i
\(328\) 6.69591i 0.369720i
\(329\) 7.56757 19.0839i 0.417214 1.05213i
\(330\) 21.7500 11.7239i 1.19730 0.645380i
\(331\) 10.6712 + 6.16103i 0.586543 + 0.338641i 0.763729 0.645536i \(-0.223366\pi\)
−0.177186 + 0.984177i \(0.556700\pi\)
\(332\) −5.96500 + 3.44389i −0.327372 + 0.189008i
\(333\) 1.19873 20.4906i 0.0656903 1.12288i
\(334\) −5.46865 3.15733i −0.299231 0.172761i
\(335\) −19.6716 −1.07478
\(336\) 3.67441 2.73837i 0.200456 0.149391i
\(337\) −7.10322 −0.386937 −0.193469 0.981106i \(-0.561974\pi\)
−0.193469 + 0.981106i \(0.561974\pi\)
\(338\) 8.82691 + 9.54388i 0.480120 + 0.519119i
\(339\) 17.2353 + 10.6340i 0.936095 + 0.577558i
\(340\) −7.57397 + 4.37284i −0.410756 + 0.237150i
\(341\) 18.7199 32.4238i 1.01374 1.75585i
\(342\) −9.92502 + 15.0818i −0.536683 + 0.815530i
\(343\) 7.85880 + 16.7702i 0.424335 + 0.905505i
\(344\) −3.47280 −0.187241
\(345\) 43.6816 + 1.27663i 2.35174 + 0.0687316i
\(346\) 7.91626 + 13.7114i 0.425581 + 0.737128i
\(347\) 1.02619 0.592469i 0.0550886 0.0318054i −0.472203 0.881490i \(-0.656541\pi\)
0.527291 + 0.849685i \(0.323208\pi\)
\(348\) −0.155724 + 5.32830i −0.00834770 + 0.285627i
\(349\) 19.2573 1.03082 0.515411 0.856943i \(-0.327639\pi\)
0.515411 + 0.856943i \(0.327639\pi\)
\(350\) 3.54560 + 24.0994i 0.189520 + 1.28817i
\(351\) 15.9980 9.75005i 0.853911 0.520419i
\(352\) 1.89239 3.27771i 0.100864 0.174702i
\(353\) −0.0869477 + 0.0501993i −0.00462776 + 0.00267184i −0.502312 0.864686i \(-0.667517\pi\)
0.497684 + 0.867358i \(0.334184\pi\)
\(354\) 6.27548 + 3.87189i 0.333538 + 0.205788i
\(355\) 20.3522 + 11.7503i 1.08018 + 0.623643i
\(356\) 15.6198i 0.827845i
\(357\) −1.23973 10.5605i −0.0656133 0.558919i
\(358\) 16.4282i 0.868257i
\(359\) −4.13025 + 7.15381i −0.217987 + 0.377564i −0.954192 0.299194i \(-0.903282\pi\)
0.736206 + 0.676758i \(0.236616\pi\)
\(360\) −0.660383 + 11.2883i −0.0348052 + 0.594944i
\(361\) −8.60925 14.9117i −0.453118 0.784824i
\(362\) 9.29946 + 5.36904i 0.488769 + 0.282191i
\(363\) 2.73218 + 5.06871i 0.143402 + 0.266039i
\(364\) 2.50883 9.20357i 0.131499 0.482398i
\(365\) 19.0927i 0.999356i
\(366\) 0.489212 16.7390i 0.0255715 0.874961i
\(367\) −24.5980 + 14.2017i −1.28400 + 0.741320i −0.977578 0.210574i \(-0.932467\pi\)
−0.306427 + 0.951894i \(0.599133\pi\)
\(368\) 5.79704 3.34692i 0.302191 0.174470i
\(369\) −17.9534 + 9.01074i −0.934616 + 0.469080i
\(370\) 25.7883 1.34067
\(371\) −1.23965 1.56575i −0.0643592 0.0812899i
\(372\) 8.12977 + 15.0823i 0.421509 + 0.781979i
\(373\) 5.82807 10.0945i 0.301766 0.522674i −0.674770 0.738028i \(-0.735757\pi\)
0.976536 + 0.215354i \(0.0690905\pi\)
\(374\) −4.39092 7.60529i −0.227049 0.393260i
\(375\) −23.3728 14.4207i −1.20697 0.744684i
\(376\) 6.71987 + 3.87972i 0.346551 + 0.200081i
\(377\) 6.58213 + 8.93350i 0.338997 + 0.460099i
\(378\) −12.2869 6.16695i −0.631972 0.317194i
\(379\) 5.72601i 0.294125i −0.989127 0.147063i \(-0.953018\pi\)
0.989127 0.147063i \(-0.0469819\pi\)
\(380\) −19.6446 11.3418i −1.00775 0.581823i
\(381\) 11.0791 17.9568i 0.567599 0.919953i
\(382\) −9.19327 + 5.30774i −0.470368 + 0.271567i
\(383\) −17.2864 9.98032i −0.883295 0.509971i −0.0115516 0.999933i \(-0.503677\pi\)
−0.871743 + 0.489963i \(0.837010\pi\)
\(384\) 0.821836 + 1.52466i 0.0419391 + 0.0778049i
\(385\) −37.3410 + 5.49376i −1.90307 + 0.279988i
\(386\) 4.51694i 0.229906i
\(387\) 4.67338 + 9.31144i 0.237561 + 0.473327i
\(388\) 2.52256 + 4.36920i 0.128064 + 0.221813i
\(389\) −18.6337 + 10.7582i −0.944765 + 0.545460i −0.891451 0.453118i \(-0.850312\pi\)
−0.0533140 + 0.998578i \(0.516978\pi\)
\(390\) 13.4029 + 19.3501i 0.678681 + 0.979831i
\(391\) 15.5318i 0.785475i
\(392\) −6.70338 + 2.01610i −0.338572 + 0.101828i
\(393\) 1.06292 + 1.97192i 0.0536173 + 0.0994702i
\(394\) −7.11989 + 12.3320i −0.358695 + 0.621278i
\(395\) 2.62504 1.51557i 0.132080 0.0762566i
\(396\) −11.3349 0.663113i −0.569602 0.0333227i
\(397\) −13.1292 + 22.7405i −0.658938 + 1.14131i 0.321953 + 0.946756i \(0.395661\pi\)
−0.980891 + 0.194558i \(0.937673\pi\)
\(398\) 23.7106i 1.18850i
\(399\) 22.1133 16.4800i 1.10705 0.825033i
\(400\) −9.20677 −0.460338
\(401\) −3.80346 + 6.58778i −0.189936 + 0.328978i −0.945229 0.326409i \(-0.894161\pi\)
0.755293 + 0.655387i \(0.227495\pi\)
\(402\) 7.69322 + 4.74662i 0.383703 + 0.236740i
\(403\) 32.6794 + 14.2892i 1.62788 + 0.711795i
\(404\) −0.710555 + 1.23072i −0.0353515 + 0.0612305i
\(405\) 31.1553 13.4200i 1.54812 0.666847i
\(406\) 3.00151 7.56920i 0.148963 0.375653i
\(407\) 25.8949i 1.28356i
\(408\) 4.01717 + 0.117406i 0.198880 + 0.00581244i
\(409\) −6.08464 10.5389i −0.300866 0.521115i 0.675466 0.737391i \(-0.263942\pi\)
−0.976332 + 0.216276i \(0.930609\pi\)
\(410\) −12.6191 21.8569i −0.623211 1.07943i
\(411\) 5.03129 + 0.147044i 0.248175 + 0.00725315i
\(412\) 11.5410i 0.568583i
\(413\) −6.99172 8.83099i −0.344040 0.434545i
\(414\) −16.7750 11.0393i −0.824448 0.542552i
\(415\) −12.9807 + 22.4832i −0.637197 + 1.10366i
\(416\) 3.30355 + 1.44449i 0.161970 + 0.0708219i
\(417\) −7.88235 4.86331i −0.386001 0.238157i
\(418\) 11.3887 19.7258i 0.557040 0.964822i
\(419\) 26.6532 1.30209 0.651047 0.759037i \(-0.274330\pi\)
0.651047 + 0.759037i \(0.274330\pi\)
\(420\) 6.83334 15.8634i 0.333433 0.774055i
\(421\) 5.46674i 0.266433i 0.991087 + 0.133216i \(0.0425305\pi\)
−0.991087 + 0.133216i \(0.957469\pi\)
\(422\) 6.53364 11.3166i 0.318053 0.550883i
\(423\) 1.35950 23.2386i 0.0661010 1.12990i
\(424\) 0.653696 0.377412i 0.0317463 0.0183287i
\(425\) −10.6813 + 18.5005i −0.518117 + 0.897406i
\(426\) −5.12410 9.50616i −0.248263 0.460575i
\(427\) −9.42932 + 23.7788i −0.456317 + 1.15074i
\(428\) 5.49125i 0.265430i
\(429\) −19.4301 + 13.4583i −0.938095 + 0.649772i
\(430\) −11.3360 + 6.54482i −0.546669 + 0.315619i
\(431\) 6.87264 + 11.9038i 0.331043 + 0.573384i 0.982717 0.185116i \(-0.0592661\pi\)
−0.651673 + 0.758500i \(0.725933\pi\)
\(432\) 2.98203 4.25529i 0.143473 0.204733i
\(433\) 31.5338i 1.51542i 0.652592 + 0.757709i \(0.273681\pi\)
−0.652592 + 0.757709i \(0.726319\pi\)
\(434\) −3.80957 25.8936i −0.182865 1.24293i
\(435\) 9.53337 + 17.6862i 0.457090 + 0.847988i
\(436\) −0.280553 0.161977i −0.0134361 0.00775731i
\(437\) 34.8876 20.1424i 1.66890 0.963540i
\(438\) 4.60691 7.46679i 0.220127 0.356777i
\(439\) −25.1301 14.5088i −1.19939 0.692469i −0.238973 0.971026i \(-0.576811\pi\)
−0.960420 + 0.278557i \(0.910144\pi\)
\(440\) 14.2655i 0.680081i
\(441\) 14.4264 + 15.2603i 0.686973 + 0.726683i
\(442\) 6.73525 4.96248i 0.320363 0.236041i
\(443\) −5.01928 2.89788i −0.238473 0.137682i 0.376002 0.926619i \(-0.377299\pi\)
−0.614475 + 0.788937i \(0.710632\pi\)
\(444\) −10.0853 6.22252i −0.478629 0.295308i
\(445\) 29.4369 + 50.9862i 1.39544 + 2.41698i
\(446\) 1.07315 1.85874i 0.0508149 0.0880141i
\(447\) −3.86561 7.17143i −0.182837 0.339197i
\(448\) −0.385108 2.61757i −0.0181946 0.123669i
\(449\) −15.5891 −0.735696 −0.367848 0.929886i \(-0.619905\pi\)
−0.367848 + 0.929886i \(0.619905\pi\)
\(450\) 12.3896 + 24.6856i 0.584052 + 1.16369i
\(451\) 21.9472 12.6712i 1.03346 0.596666i
\(452\) 10.1259 5.84621i 0.476284 0.274983i
\(453\) −0.322157 + 11.0230i −0.0151362 + 0.517905i
\(454\) 16.3011i 0.765047i
\(455\) −9.15564 34.7705i −0.429223 1.63007i
\(456\) 4.94596 + 9.17568i 0.231616 + 0.429690i
\(457\) −2.92274 1.68744i −0.136720 0.0789353i 0.430080 0.902791i \(-0.358485\pi\)
−0.566800 + 0.823856i \(0.691819\pi\)
\(458\) −12.6694 21.9440i −0.592000 1.02537i
\(459\) −5.09115 10.9290i −0.237634 0.510123i
\(460\) 12.6152 21.8501i 0.588185 1.01877i
\(461\) 3.58098i 0.166783i −0.996517 0.0833914i \(-0.973425\pi\)
0.996517 0.0833914i \(-0.0265752\pi\)
\(462\) 15.9290 + 6.86159i 0.741084 + 0.319230i
\(463\) 8.12604i 0.377649i 0.982011 + 0.188825i \(0.0604677\pi\)
−0.982011 + 0.188825i \(0.939532\pi\)
\(464\) 2.66529 + 1.53881i 0.123733 + 0.0714373i
\(465\) 54.9612 + 33.9104i 2.54877 + 1.57256i
\(466\) 18.8229 10.8674i 0.871953 0.503422i
\(467\) −18.4226 + 31.9089i −0.852496 + 1.47657i 0.0264534 + 0.999650i \(0.491579\pi\)
−0.878949 + 0.476916i \(0.841755\pi\)
\(468\) −0.572586 10.8015i −0.0264678 0.499299i
\(469\) −8.57127 10.8261i −0.395785 0.499902i
\(470\) 29.2468 1.34905
\(471\) −0.573887 + 19.6362i −0.0264433 + 0.904790i
\(472\) 3.68691 2.12864i 0.169704 0.0979784i
\(473\) −6.57189 11.3828i −0.302176 0.523384i
\(474\) −1.39230 0.0406913i −0.0639506 0.00186901i
\(475\) −55.4080 −2.54229
\(476\) −5.70665 2.26293i −0.261564 0.103721i
\(477\) −1.89162 1.24483i −0.0866112 0.0569970i
\(478\) 11.0629 19.1614i 0.506003 0.876424i
\(479\) 5.24426 3.02777i 0.239616 0.138343i −0.375384 0.926869i \(-0.622489\pi\)
0.615000 + 0.788527i \(0.289156\pi\)
\(480\) 5.55601 + 3.42798i 0.253596 + 0.156465i
\(481\) −24.5158 + 2.74230i −1.11782 + 0.125038i
\(482\) 12.5745 0.572754
\(483\) 18.3302 + 24.5959i 0.834055 + 1.11915i
\(484\) 3.32449 0.151113
\(485\) 16.4683 + 9.50800i 0.747789 + 0.431736i
\(486\) −15.4224 2.26919i −0.699575 0.102933i
\(487\) −21.7283 + 12.5449i −0.984605 + 0.568462i −0.903657 0.428256i \(-0.859128\pi\)
−0.0809478 + 0.996718i \(0.525795\pi\)
\(488\) −8.37307 4.83419i −0.379031 0.218834i
\(489\) 13.9592 7.52441i 0.631256 0.340265i
\(490\) −18.0817 + 19.2141i −0.816850 + 0.868005i
\(491\) 22.8687i 1.03205i −0.856574 0.516024i \(-0.827411\pi\)
0.856574 0.516024i \(-0.172589\pi\)
\(492\) −0.338807 + 11.5927i −0.0152746 + 0.522640i
\(493\) 6.18429 3.57050i 0.278526 0.160807i
\(494\) 19.8814 + 8.69319i 0.894505 + 0.391125i
\(495\) −38.2493 + 19.1972i −1.71918 + 0.862850i
\(496\) 9.89221 0.444174
\(497\) 2.40112 + 16.3204i 0.107705 + 0.732071i
\(498\) 10.5015 5.66063i 0.470585 0.253659i
\(499\) 29.8258 + 17.2200i 1.33519 + 0.770871i 0.986090 0.166215i \(-0.0531546\pi\)
0.349098 + 0.937086i \(0.386488\pi\)
\(500\) −13.7318 + 7.92805i −0.614104 + 0.354553i
\(501\) 9.30818 + 5.74302i 0.415859 + 0.256579i
\(502\) 4.29829 7.44485i 0.191842 0.332280i
\(503\) 27.5477 1.22829 0.614145 0.789193i \(-0.289501\pi\)
0.614145 + 0.789193i \(0.289501\pi\)
\(504\) −6.50011 + 4.55506i −0.289538 + 0.202898i
\(505\) 5.35643i 0.238358i
\(506\) 21.9405 + 12.6673i 0.975372 + 0.563131i
\(507\) −14.7992 16.9701i −0.657256 0.753667i
\(508\) −6.09092 10.5498i −0.270241 0.468071i
\(509\) −22.1861 12.8091i −0.983380 0.567755i −0.0800909 0.996788i \(-0.525521\pi\)
−0.903289 + 0.429033i \(0.858854\pi\)
\(510\) 13.3342 7.18750i 0.590447 0.318268i
\(511\) −10.5074 + 8.31900i −0.464822 + 0.368011i
\(512\) 1.00000 0.0441942
\(513\) 17.9464 25.6091i 0.792354 1.13067i
\(514\) −10.8190 18.7391i −0.477207 0.826547i
\(515\) 21.7500 + 37.6722i 0.958421 + 1.66003i
\(516\) 6.01251 + 0.175721i 0.264686 + 0.00773568i
\(517\) 29.3677i 1.29159i
\(518\) 11.2364 + 14.1923i 0.493699 + 0.623574i
\(519\) −13.0117 24.1392i −0.571152 1.05959i
\(520\) 13.5058 1.51074i 0.592267 0.0662502i
\(521\) −10.2805 17.8063i −0.450396 0.780109i 0.548014 0.836469i \(-0.315384\pi\)
−0.998411 + 0.0563599i \(0.982051\pi\)
\(522\) 0.539215 9.21707i 0.0236008 0.403420i
\(523\) 2.64380 + 1.52640i 0.115605 + 0.0667448i 0.556688 0.830722i \(-0.312072\pi\)
−0.441082 + 0.897467i \(0.645405\pi\)
\(524\) 1.29335 0.0565003
\(525\) −4.91912 41.9030i −0.214688 1.82880i
\(526\) 14.6026i 0.636705i
\(527\) 11.4765 19.8779i 0.499924 0.865893i
\(528\) −3.44216 + 5.57898i −0.149801 + 0.242794i
\(529\) 10.9038 + 18.8859i 0.474076 + 0.821124i
\(530\) 1.42254 2.46390i 0.0617910 0.107025i
\(531\) −10.6689 7.02098i −0.462990 0.304684i
\(532\) −2.31765 15.7530i −0.100483 0.682981i
\(533\) 14.3207 + 19.4365i 0.620296 + 0.841888i
\(534\) 0.790346 27.0427i 0.0342016 1.17025i
\(535\) 10.3488 + 17.9246i 0.447416 + 0.774948i
\(536\) 4.51984 2.60953i 0.195228 0.112715i
\(537\) 0.831252 28.4423i 0.0358712 1.22738i
\(538\) −17.1026 −0.737346
\(539\) −19.2936 18.1565i −0.831032 0.782056i
\(540\) 1.71450 19.5101i 0.0737805 0.839580i
\(541\) −19.8564 11.4641i −0.853694 0.492881i 0.00820130 0.999966i \(-0.497389\pi\)
−0.861896 + 0.507086i \(0.830723\pi\)
\(542\) 14.9138 + 25.8315i 0.640603 + 1.10956i
\(543\) −15.8286 9.76603i −0.679270 0.419101i
\(544\) 1.16015 2.00944i 0.0497412 0.0861542i
\(545\) −1.22105 −0.0523039
\(546\) −4.80926 + 15.8073i −0.205817 + 0.676490i
\(547\) 18.9906 0.811981 0.405991 0.913877i \(-0.366927\pi\)
0.405991 + 0.913877i \(0.366927\pi\)
\(548\) 1.45303 2.51672i 0.0620704 0.107509i
\(549\) −1.69396 + 28.9556i −0.0722963 + 1.23580i
\(550\) −17.4228 30.1771i −0.742909 1.28676i
\(551\) 16.0402 + 9.26081i 0.683335 + 0.394524i
\(552\) −10.2058 + 5.50124i −0.434389 + 0.234148i
\(553\) 1.97786 + 0.784305i 0.0841070 + 0.0333520i
\(554\) 15.6854 0.666408
\(555\) −44.6476 1.30486i −1.89518 0.0553884i
\(556\) −4.63096 + 2.67369i −0.196397 + 0.113390i
\(557\) −9.86728 17.0906i −0.418090 0.724154i 0.577657 0.816280i \(-0.303967\pi\)
−0.995747 + 0.0921260i \(0.970634\pi\)
\(558\) −13.3120 26.5234i −0.563543 1.12283i
\(559\) 10.0806 7.42734i 0.426366 0.314143i
\(560\) −6.19013 7.81854i −0.261581 0.330394i
\(561\) 7.21722 + 13.3893i 0.304711 + 0.565297i
\(562\) 10.6341 18.4188i 0.448571 0.776949i
\(563\) −5.55820 9.62708i −0.234250 0.405733i 0.724804 0.688955i \(-0.241930\pi\)
−0.959054 + 0.283222i \(0.908597\pi\)
\(564\) −11.4379 7.05702i −0.481621 0.297154i
\(565\) 22.0355 38.1665i 0.927039 1.60568i
\(566\) 32.5372i 1.36764i
\(567\) 20.9605 + 11.2986i 0.880257 + 0.474498i
\(568\) −6.23494 −0.261612
\(569\) −17.4869 10.0960i −0.733088 0.423248i 0.0864631 0.996255i \(-0.472444\pi\)
−0.819551 + 0.573007i \(0.805777\pi\)
\(570\) 33.4371 + 20.6302i 1.40052 + 0.864105i
\(571\) −2.34574 4.06294i −0.0981661 0.170029i 0.812759 0.582599i \(-0.197964\pi\)
−0.910926 + 0.412571i \(0.864631\pi\)
\(572\) 1.51698 + 13.5616i 0.0634282 + 0.567039i
\(573\) 16.1850 8.72417i 0.676137 0.364458i
\(574\) 6.53035 16.4682i 0.272571 0.687369i
\(575\) 61.6286i 2.57009i
\(576\) −1.34571 2.68124i −0.0560711 0.111719i
\(577\) 10.4339 + 18.0720i 0.434368 + 0.752347i 0.997244 0.0741941i \(-0.0236384\pi\)
−0.562876 + 0.826541i \(0.690305\pi\)
\(578\) 5.80809 + 10.0599i 0.241585 + 0.418437i
\(579\) 0.228553 7.82023i 0.00949834 0.324998i
\(580\) 11.6001 0.481668
\(581\) −18.0293 + 2.65254i −0.747981 + 0.110046i
\(582\) −4.14626 7.69209i −0.171868 0.318848i
\(583\) 2.47409 + 1.42842i 0.102466 + 0.0591590i
\(584\) −2.53273 4.38682i −0.104805 0.181528i
\(585\) −22.2255 34.1792i −0.918909 1.41314i
\(586\) −13.1268 7.57874i −0.542261 0.313075i
\(587\) 7.52079i 0.310416i −0.987882 0.155208i \(-0.950395\pi\)
0.987882 0.155208i \(-0.0496048\pi\)
\(588\) 11.7077 3.15130i 0.482816 0.129958i
\(589\) 59.5331 2.45302
\(590\) 8.02323 13.8966i 0.330311 0.572116i
\(591\) 12.9507 20.9903i 0.532722 0.863425i
\(592\) −5.92523 + 3.42094i −0.243526 + 0.140600i
\(593\) −3.45052 1.99216i −0.141696 0.0818081i 0.427476 0.904027i \(-0.359403\pi\)
−0.569172 + 0.822219i \(0.692736\pi\)
\(594\) 19.5907 + 1.72159i 0.803818 + 0.0706378i
\(595\) −22.8924 + 3.36802i −0.938498 + 0.138076i
\(596\) −4.70363 −0.192668
\(597\) 1.19973 41.0504i 0.0491019 1.68008i
\(598\) −9.66918 + 22.1135i −0.395402 + 0.904286i
\(599\) 1.61182 0.930583i 0.0658571 0.0380226i −0.466710 0.884410i \(-0.654561\pi\)
0.532567 + 0.846388i \(0.321227\pi\)
\(600\) 15.9398 + 0.465854i 0.650739 + 0.0190184i
\(601\) 4.01388i 0.163729i −0.996643 0.0818647i \(-0.973912\pi\)
0.996643 0.0818647i \(-0.0260875\pi\)
\(602\) −8.54115 3.38694i −0.348111 0.138041i
\(603\) −13.0792 8.60714i −0.532626 0.350510i
\(604\) 5.51385 + 3.18342i 0.224355 + 0.129532i
\(605\) 10.8518 6.26531i 0.441190 0.254721i
\(606\) 1.29247 2.09480i 0.0525028 0.0850956i
\(607\) 11.3810 + 6.57082i 0.461941 + 0.266701i 0.712860 0.701307i \(-0.247400\pi\)
−0.250919 + 0.968008i \(0.580733\pi\)
\(608\) 6.01818 0.244069
\(609\) −5.57955 + 12.9528i −0.226095 + 0.524872i
\(610\) −36.4419 −1.47549
\(611\) −27.8036 + 3.11008i −1.12481 + 0.125820i
\(612\) −6.94904 0.406531i −0.280898 0.0164330i
\(613\) −9.33110 + 5.38731i −0.376880 + 0.217592i −0.676460 0.736480i \(-0.736487\pi\)
0.299580 + 0.954071i \(0.403153\pi\)
\(614\) −11.3640 + 19.6830i −0.458613 + 0.794340i
\(615\) 20.7416 + 38.4796i 0.836382 + 1.55165i
\(616\) 7.85087 6.21573i 0.316321 0.250439i
\(617\) 22.7546 0.916066 0.458033 0.888935i \(-0.348554\pi\)
0.458033 + 0.888935i \(0.348554\pi\)
\(618\) 0.583963 19.9810i 0.0234904 0.803754i
\(619\) −11.7673 20.3816i −0.472969 0.819207i 0.526552 0.850143i \(-0.323484\pi\)
−0.999521 + 0.0309362i \(0.990151\pi\)
\(620\) 32.2903 18.6428i 1.29681 0.748713i
\(621\) 28.4842 + 19.9613i 1.14303 + 0.801018i
\(622\) −6.34519 −0.254419
\(623\) −15.2335 + 38.4158i −0.610319 + 1.53910i
\(624\) −5.64639 2.66802i −0.226036 0.106806i
\(625\) −6.86537 + 11.8912i −0.274615 + 0.475647i
\(626\) −9.83094 + 5.67590i −0.392924 + 0.226854i
\(627\) −20.7155 + 33.5753i −0.827298 + 1.34087i
\(628\) 9.82232 + 5.67092i 0.391953 + 0.226294i
\(629\) 15.8752i 0.632987i
\(630\) −12.6333 + 27.1187i −0.503323 + 1.08044i
\(631\) 40.3755i 1.60733i −0.595085 0.803663i \(-0.702882\pi\)
0.595085 0.803663i \(-0.297118\pi\)
\(632\) −0.402095 + 0.696449i −0.0159945 + 0.0277032i
\(633\) −11.8844 + 19.2620i −0.472361 + 0.765594i
\(634\) −0.315688 0.546787i −0.0125376 0.0217157i
\(635\) −39.7641 22.9578i −1.57799 0.911053i
\(636\) −1.15085 + 0.620341i −0.0456341 + 0.0245981i
\(637\) 15.1463 20.1888i 0.600119 0.799911i
\(638\) 11.6481i 0.461151i
\(639\) 8.39041 + 16.7174i 0.331919 + 0.661330i
\(640\) 3.26421 1.88459i 0.129029 0.0744951i
\(641\) 17.5159 10.1128i 0.691835 0.399431i −0.112464 0.993656i \(-0.535874\pi\)
0.804299 + 0.594225i \(0.202541\pi\)
\(642\) 0.277852 9.50706i 0.0109660 0.375214i
\(643\) −40.2432 −1.58704 −0.793519 0.608545i \(-0.791753\pi\)
−0.793519 + 0.608545i \(0.791753\pi\)
\(644\) 17.5216 2.57785i 0.690449 0.101581i
\(645\) 19.9573 10.7575i 0.785816 0.423578i
\(646\) 6.98201 12.0932i 0.274704 0.475801i
\(647\) 18.5795 + 32.1806i 0.730435 + 1.26515i 0.956697 + 0.291084i \(0.0940160\pi\)
−0.226262 + 0.974066i \(0.572651\pi\)
\(648\) −5.37814 + 7.21634i −0.211273 + 0.283485i
\(649\) 13.9541 + 8.05640i 0.547746 + 0.316241i
\(650\) 26.7248 19.6907i 1.04823 0.772331i
\(651\) 5.28535 + 45.0226i 0.207149 + 1.76458i
\(652\) 9.15561i 0.358561i
\(653\) 35.2713 + 20.3639i 1.38027 + 0.796900i 0.992191 0.124725i \(-0.0398049\pi\)
0.388081 + 0.921625i \(0.373138\pi\)
\(654\) 0.477529 + 0.294629i 0.0186729 + 0.0115209i
\(655\) 4.22177 2.43744i 0.164958 0.0952387i
\(656\) 5.79883 + 3.34796i 0.226406 + 0.130716i
\(657\) −8.35381 + 12.6942i −0.325913 + 0.495249i
\(658\) 12.7433 + 16.0956i 0.496786 + 0.627473i
\(659\) 8.49218i 0.330808i −0.986226 0.165404i \(-0.947107\pi\)
0.986226 0.165404i \(-0.0528929\pi\)
\(660\) −0.721822 + 24.6980i −0.0280969 + 0.961370i
\(661\) 9.22875 + 15.9847i 0.358957 + 0.621731i 0.987787 0.155811i \(-0.0497992\pi\)
−0.628830 + 0.777543i \(0.716466\pi\)
\(662\) −10.6712 + 6.16103i −0.414749 + 0.239455i
\(663\) −11.9119 + 8.25080i −0.462620 + 0.320434i
\(664\) 6.88779i 0.267298i
\(665\) −37.2533 47.0534i −1.44462 1.82465i
\(666\) 17.1460 + 11.2834i 0.664394 + 0.437224i
\(667\) −10.3005 + 17.8410i −0.398838 + 0.690807i
\(668\) 5.46865 3.15733i 0.211588 0.122161i
\(669\) −1.95200 + 3.16376i −0.0754687 + 0.122318i
\(670\) 9.83582 17.0361i 0.379991 0.658163i
\(671\) 36.5926i 1.41264i
\(672\) 0.534294 + 4.55132i 0.0206109 + 0.175571i
\(673\) 6.98712 0.269334 0.134667 0.990891i \(-0.457004\pi\)
0.134667 + 0.990891i \(0.457004\pi\)
\(674\) 3.55161 6.15157i 0.136803 0.236950i
\(675\) −20.2012 43.3654i −0.777545 1.66913i
\(676\) −12.6787 + 2.87238i −0.487642 + 0.110476i
\(677\) −6.77872 + 11.7411i −0.260527 + 0.451247i −0.966382 0.257110i \(-0.917230\pi\)
0.705855 + 0.708357i \(0.250563\pi\)
\(678\) −17.8270 + 9.60925i −0.684641 + 0.369041i
\(679\) 1.94292 + 13.2060i 0.0745622 + 0.506799i
\(680\) 8.74567i 0.335381i
\(681\) 0.824819 28.2222i 0.0316071 1.08148i
\(682\) 18.7199 + 32.4238i 0.716821 + 1.24157i
\(683\) −13.4864 23.3591i −0.516042 0.893811i −0.999827 0.0186238i \(-0.994072\pi\)
0.483785 0.875187i \(-0.339262\pi\)
\(684\) −8.09871 16.1362i −0.309662 0.616984i
\(685\) 10.9535i 0.418511i
\(686\) −18.4528 1.57917i −0.704532 0.0602931i
\(687\) 20.8243 + 38.6329i 0.794495 + 1.47394i
\(688\) 1.73640 3.00754i 0.0661997 0.114661i
\(689\) −1.09033 + 2.49360i −0.0415384 + 0.0949985i
\(690\) −22.9464 + 37.1910i −0.873554 + 1.41584i
\(691\) −0.543955 + 0.942158i −0.0206930 + 0.0358414i −0.876186 0.481972i \(-0.839921\pi\)
0.855493 + 0.517814i \(0.173254\pi\)
\(692\) −15.8325 −0.601862
\(693\) −27.2309 12.6856i −1.03441 0.481884i
\(694\) 1.18494i 0.0449797i
\(695\) −10.0776 + 17.4550i −0.382266 + 0.662104i
\(696\) −4.53658 2.79901i −0.171959 0.106096i
\(697\) 13.4551 7.76829i 0.509647 0.294245i
\(698\) −9.62867 + 16.6773i −0.364450 + 0.631247i
\(699\) −33.1381 + 17.8624i −1.25340 + 0.675619i
\(700\) −22.6435 8.97912i −0.855843 0.339379i
\(701\) 28.8352i 1.08909i −0.838731 0.544546i \(-0.816702\pi\)
0.838731 0.544546i \(-0.183298\pi\)
\(702\) 0.444780 + 18.7297i 0.0167871 + 0.706907i
\(703\) −35.6591 + 20.5878i −1.34491 + 0.776484i
\(704\) 1.89239 + 3.27771i 0.0713220 + 0.123533i
\(705\) −50.6353 1.47986i −1.90703 0.0557348i
\(706\) 0.100399i 0.00377855i
\(707\) −2.94786 + 2.33389i −0.110866 + 0.0877750i
\(708\) −6.49089 + 3.49878i −0.243943 + 0.131492i
\(709\) −0.432082 0.249463i −0.0162272 0.00936877i 0.491864 0.870672i \(-0.336316\pi\)
−0.508092 + 0.861303i \(0.669649\pi\)
\(710\) −20.3522 + 11.7503i −0.763803 + 0.440982i
\(711\) 2.40845 + 0.140899i 0.0903240 + 0.00528411i
\(712\) −13.5271 7.80988i −0.506950 0.292688i
\(713\) 66.2169i 2.47984i
\(714\) 9.76549 + 4.20660i 0.365464 + 0.157428i
\(715\) 30.5099 + 41.4091i 1.14100 + 1.54861i
\(716\) −14.2272 8.21410i −0.531697 0.306975i
\(717\) −20.1228 + 32.6146i −0.751500 + 1.21802i
\(718\) −4.13025 7.15381i −0.154140 0.266978i
\(719\) 3.21317 5.56538i 0.119831 0.207554i −0.799869 0.600174i \(-0.795098\pi\)
0.919701 + 0.392620i \(0.128431\pi\)
\(720\) −9.44573 6.21604i −0.352022 0.231658i
\(721\) −11.2556 + 28.3843i −0.419181 + 1.05709i
\(722\) 17.2185 0.640806
\(723\) −21.7704 0.636260i −0.809651 0.0236628i
\(724\) −9.29946 + 5.36904i −0.345612 + 0.199539i
\(725\) 24.5387 14.1674i 0.911344 0.526165i
\(726\) −5.75573 0.168216i −0.213615 0.00624309i
\(727\) 12.3057i 0.456392i −0.973615 0.228196i \(-0.926717\pi\)
0.973615 0.228196i \(-0.0732827\pi\)
\(728\) 6.71611 + 6.77450i 0.248916 + 0.251080i
\(729\) 26.5862 + 4.70904i 0.984673 + 0.174409i
\(730\) −16.5347 9.54633i −0.611978 0.353326i
\(731\) −4.02899 6.97841i −0.149017 0.258106i
\(732\) 14.2518 + 8.79316i 0.526761 + 0.325005i
\(733\) −24.4841 + 42.4077i −0.904341 + 1.56636i −0.0825411 + 0.996588i \(0.526304\pi\)
−0.821800 + 0.569777i \(0.807030\pi\)
\(734\) 28.4033i 1.04839i
\(735\) 32.2773 32.3507i 1.19057 1.19327i
\(736\) 6.69384i 0.246738i
\(737\) 17.1066 + 9.87649i 0.630129 + 0.363805i
\(738\) 1.17316 20.0534i 0.0431847 0.738178i
\(739\) −1.87629 + 1.08328i −0.0690204 + 0.0398489i −0.534113 0.845413i \(-0.679354\pi\)
0.465093 + 0.885262i \(0.346021\pi\)
\(740\) −12.8941 + 22.3333i −0.473998 + 0.820989i
\(741\) −33.9810 16.0566i −1.24832 0.589854i
\(742\) 1.97581 0.290688i 0.0725341 0.0106715i
\(743\) 9.34291 0.342758 0.171379 0.985205i \(-0.445178\pi\)
0.171379 + 0.985205i \(0.445178\pi\)
\(744\) −17.1265 0.500537i −0.627888 0.0183506i
\(745\) −15.3536 + 8.86443i −0.562514 + 0.324767i
\(746\) 5.82807 + 10.0945i 0.213381 + 0.369586i
\(747\) −18.4678 + 9.26895i −0.675703 + 0.339133i
\(748\) 8.78183 0.321096
\(749\) −5.35547 + 13.5054i −0.195685 + 0.493476i
\(750\) 24.1751 13.0311i 0.882751 0.475829i
\(751\) 13.9317 24.1305i 0.508377 0.880534i −0.491576 0.870834i \(-0.663579\pi\)
0.999953 0.00969962i \(-0.00308753\pi\)
\(752\) −6.71987 + 3.87972i −0.245048 + 0.141479i
\(753\) −7.81837 + 12.6719i −0.284917 + 0.461788i
\(754\) −11.0277 + 1.23354i −0.401605 + 0.0449230i
\(755\) 23.9978 0.873370
\(756\) 11.4842 7.55732i 0.417676 0.274857i
\(757\) −5.47162 −0.198869 −0.0994347 0.995044i \(-0.531703\pi\)
−0.0994347 + 0.995044i \(0.531703\pi\)
\(758\) 4.95887 + 2.86301i 0.180114 + 0.103989i
\(759\) −37.3448 23.0413i −1.35553 0.836345i
\(760\) 19.6446 11.3418i 0.712585 0.411411i
\(761\) 11.9787 + 6.91589i 0.434227 + 0.250701i 0.701146 0.713018i \(-0.252672\pi\)
−0.266919 + 0.963719i \(0.586006\pi\)
\(762\) 10.0115 + 18.5732i 0.362677 + 0.672834i
\(763\) −0.532031 0.671990i −0.0192608 0.0243277i
\(764\) 10.6155i 0.384054i
\(765\) −23.4493 + 11.7691i −0.847811 + 0.425513i
\(766\) 17.2864 9.98032i 0.624584 0.360604i
\(767\) −6.14958 + 14.0641i −0.222048 + 0.507826i
\(768\) −1.73131 0.0505991i −0.0624733 0.00182584i
\(769\) 34.5029 1.24421 0.622104 0.782935i \(-0.286278\pi\)
0.622104 + 0.782935i \(0.286278\pi\)
\(770\) 13.9128 35.0851i 0.501382 1.26438i
\(771\) 17.7829 + 32.9907i 0.640437 + 1.18813i
\(772\) −3.91178 2.25847i −0.140788 0.0812841i
\(773\) −22.7475 + 13.1333i −0.818170 + 0.472371i −0.849785 0.527129i \(-0.823268\pi\)
0.0316148 + 0.999500i \(0.489935\pi\)
\(774\) −10.4006 0.608455i −0.373843 0.0218705i
\(775\)