Properties

Label 546.2.bg.a.311.13
Level $546$
Weight $2$
Character 546.311
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 311.13
Character \(\chi\) \(=\) 546.311
Dual form 546.2.bg.a.467.13

$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

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

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 −0.999001 0.0446889i \(-0.985770\pi\)
−0.460799 + 0.887505i \(0.652437\pi\)
\(6\) 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 −0.425931 0.904756i \(-0.640053\pi\)
0.996507 0.0835105i \(-0.0266132\pi\)
\(12\) −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 −0.690346 0.723479i \(-0.742542\pi\)
0.971725 + 0.236117i \(0.0758750\pi\)
\(18\) 2.99488 0.175206i 0.705900 0.0412964i
\(19\) −3.00909 5.21190i −0.690333 1.19569i −0.971729 0.236100i \(-0.924131\pi\)
0.281396 0.959592i \(-0.409202\pi\)
\(20\) 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 −0.962490 0.271319i \(-0.912540\pi\)
−0.246276 + 0.969200i \(0.579207\pi\)
\(24\) 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 \(0.0922424\pi\)
−0.958304 + 0.285749i \(0.907758\pi\)
\(30\) 0.190718 + 6.52564i 0.0348201 + 1.19141i
\(31\) −4.94611 + 8.56691i −0.888347 + 1.53866i −0.0465184 + 0.998917i \(0.514813\pi\)
−0.841829 + 0.539745i \(0.818521\pi\)
\(32\) −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 0.0736180 0.997287i \(-0.476545\pi\)
0.900484 + 0.434888i \(0.143212\pi\)
\(38\) −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 \(0.175136\pi\)
−0.852417 + 0.522863i \(0.824864\pi\)
\(42\) 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 0.0778650 0.996964i \(-0.475190\pi\)
0.902329 + 0.431049i \(0.141856\pi\)
\(48\) 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 0.544224 0.838940i \(-0.316824\pi\)
−0.454432 + 0.890782i \(0.650158\pi\)
\(54\) 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 0.720414 0.693544i \(-0.243952\pi\)
−0.240420 + 0.970669i \(0.577285\pi\)
\(60\) 5.55601 3.42798i 0.717278 0.442551i
\(61\) −8.37307 + 4.83419i −1.07206 + 0.618955i −0.928744 0.370722i \(-0.879110\pi\)
−0.143317 + 0.989677i \(0.545777\pi\)
\(62\) 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 0.750004 0.661434i \(-0.230052\pi\)
−0.197817 + 0.980239i \(0.563385\pi\)
\(68\) 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 −0.975317 0.220808i \(-0.929131\pi\)
0.678884 + 0.734246i \(0.262464\pi\)
\(74\) −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 0.842519 0.538666i \(-0.181072\pi\)
−0.887758 + 0.460310i \(0.847738\pi\)
\(80\) 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 \(0.123394\pi\)
−0.925799 + 0.378017i \(0.876606\pi\)
\(84\) 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 −0.997413 0.0718798i \(-0.977100\pi\)
−0.436457 + 0.899725i \(0.643767\pi\)
\(90\) −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 −0.899210 0.437518i \(-0.855858\pi\)
0.828507 + 0.559979i \(0.189191\pi\)
\(102\) −2.11026 3.42027i −0.208947 0.338657i
\(103\) −9.99478 + 5.77049i −0.984814 + 0.568583i −0.903720 0.428124i \(-0.859175\pi\)
−0.0810943 + 0.996706i \(0.525841\pi\)
\(104\) −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 −0.711934 0.702247i \(-0.752180\pi\)
0.252196 + 0.967676i \(0.418847\pi\)
\(108\) 2.19417 4.71016i 0.211134 0.453235i
\(109\) 0.280553 + 0.161977i 0.0268721 + 0.0155146i 0.513376 0.858164i \(-0.328395\pi\)
−0.486504 + 0.873678i \(0.661728\pi\)
\(110\) 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 \(-0.814641\pi\)
0.835187 0.549965i \(-0.185359\pi\)
\(114\) −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 0.836392 0.548132i \(-0.184661\pi\)
−0.892892 + 0.450271i \(0.851328\pi\)
\(132\) −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 −0.797256 0.603641i \(-0.793716\pi\)
0.921397 + 0.388623i \(0.127049\pi\)
\(138\) 0.338702 + 11.5891i 0.0288323 + 0.986532i
\(139\) 5.34738i 0.453558i 0.973946 + 0.226779i \(0.0728196\pi\)
−0.973946 + 0.226779i \(0.927180\pi\)
\(140\) 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 0.946134 0.323777i \(-0.104953\pi\)
−0.753465 + 0.657487i \(0.771619\pi\)
\(150\) −8.37333 13.5713i −0.683680 1.10809i
\(151\) −5.51385 3.18342i −0.448711 0.259063i 0.258575 0.965991i \(-0.416747\pi\)
−0.707285 + 0.706928i \(0.750080\pi\)
\(152\) −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 0.0539067 0.998546i \(-0.482833\pi\)
−0.837813 + 0.545958i \(0.816166\pi\)
\(158\) −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 −0.156230 0.987721i \(-0.549934\pi\)
0.777276 + 0.629159i \(0.216601\pi\)
\(164\) −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 \(-0.921435\pi\)
0.969694 0.244321i \(-0.0785651\pi\)
\(168\) −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 0.992539 + 0.121928i \(0.0389077\pi\)
−0.390677 + 0.920528i \(0.627759\pi\)
\(174\) 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 0.926369 0.376617i \(-0.122913\pi\)
0.137024 + 0.990568i \(0.456246\pi\)
\(180\) 10.1061 + 5.07222i 0.753265 + 0.378061i
\(181\) 10.7381i 0.798156i 0.916917 + 0.399078i \(0.130670\pi\)
−0.916917 + 0.399078i \(0.869330\pi\)
\(182\) −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 −0.129055 0.991637i \(-0.541194\pi\)
0.794256 + 0.607583i \(0.207861\pi\)
\(192\) 0.909476 + 1.47406i 0.0656358 + 0.106381i
\(193\) 3.91178 + 2.25847i 0.281576 + 0.162568i 0.634137 0.773221i \(-0.281356\pi\)
−0.352560 + 0.935789i \(0.614689\pi\)
\(194\) 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 0.998791 0.0491586i \(-0.0156540\pi\)
0.456823 + 0.889558i \(0.348987\pi\)
\(200\) 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 0.889014 0.457879i \(-0.151391\pi\)
0.0479723 + 0.998849i \(0.484724\pi\)
\(228\) 5.47339 + 8.87116i 0.362484 + 0.587507i
\(229\) −12.6694 21.9440i −0.837215 1.45010i −0.892214 0.451612i \(-0.850849\pi\)
0.0549995 0.998486i \(-0.482484\pi\)
\(230\) −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 −0.967681 0.252179i \(-0.918853\pi\)
−0.265447 + 0.964125i \(0.585520\pi\)
\(234\) −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 −0.994321 0.106420i \(-0.966061\pi\)
0.589323 + 0.807897i \(0.299395\pi\)
\(242\) −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 −0.976506 0.215490i \(-0.930865\pi\)
0.301633 0.953424i \(-0.402468\pi\)
\(258\) −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 0.836360 0.548181i \(-0.184679\pi\)
−0.0565583 + 0.998399i \(0.518013\pi\)
\(264\) 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 −0.478308 0.878192i \(-0.658750\pi\)
0.999691 0.0248689i \(-0.00791684\pi\)
\(270\) −17.7535 8.27024i −1.08044 0.503310i
\(271\) 14.9138 + 25.8315i 0.905949 + 1.56915i 0.819639 + 0.572881i \(0.194174\pi\)
0.0863103 + 0.996268i \(0.472492\pi\)
\(272\) −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 −0.999458 0.0329179i \(-0.989520\pi\)
0.528237 + 0.849097i \(0.322853\pi\)
\(278\) 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 0.964763 + 0.263119i \(0.0847512\pi\)
0.710250 + 0.703950i \(0.248582\pi\)
\(284\) 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 \(-0.854001\pi\)
0.896643 0.442755i \(-0.145999\pi\)
\(294\) −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 −0.761945 0.647641i \(-0.775756\pi\)
0.941847 + 0.336043i \(0.109089\pi\)
\(312\) 0.512624 6.22392i 0.0290216 0.352360i
\(313\) 9.83094 5.67590i 0.555678 0.320821i −0.195731 0.980658i \(-0.562708\pi\)
0.751409 + 0.659837i \(0.229375\pi\)
\(314\) 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 0.857024 0.515277i \(-0.172311\pi\)
−0.874755 + 0.484566i \(0.838978\pi\)
\(318\) 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 −0.177186 0.984177i \(-0.556700\pi\)
0.763729 + 0.645536i \(0.223366\pi\)
\(332\) −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 0.527291 0.849685i \(-0.323208\pi\)
−0.472203 + 0.881490i \(0.656541\pi\)
\(348\) −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 0.497684 0.867358i \(-0.334184\pi\)
−0.502312 + 0.864686i \(0.667517\pi\)
\(354\) 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 0.736206 0.676758i \(-0.236616\pi\)
−0.954192 + 0.299194i \(0.903282\pi\)
\(360\) −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 −0.306427 0.951894i \(-0.599133\pi\)
−0.977578 + 0.210574i \(0.932467\pi\)
\(368\) 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 0.976536 0.215354i \(-0.0690905\pi\)
−0.674770 + 0.738028i \(0.735757\pi\)
\(374\) −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 \(0.0469819\pi\)
−0.989127 + 0.147063i \(0.953018\pi\)
\(380\) −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 −0.871743 0.489963i \(-0.837010\pi\)
−0.0115516 + 0.999933i \(0.503677\pi\)
\(384\) 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 −0.0533140 0.998578i \(-0.516978\pi\)
−0.891451 + 0.453118i \(0.850312\pi\)
\(390\) 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 −0.980891 0.194558i \(-0.937673\pi\)
0.321953 0.946756i \(-0.395661\pi\)
\(398\) 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 0.755293 0.655387i \(-0.227495\pi\)
−0.945229 + 0.326409i \(0.894161\pi\)
\(402\) 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 −0.976332 0.216276i \(-0.930609\pi\)
0.675466 + 0.737391i \(0.263942\pi\)
\(410\) −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 \(-0.957469\pi\)
0.991087 0.133216i \(-0.0425305\pi\)
\(422\) 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 −0.651673 0.758500i \(-0.725933\pi\)
0.982717 + 0.185116i \(0.0592661\pi\)
\(432\) 2.98203 + 4.25529i 0.143473 + 0.204733i
\(433\) 31.5338i 1.51542i −0.652592 0.757709i \(-0.726319\pi\)
0.652592 0.757709i \(-0.273681\pi\)
\(434\) −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 −0.960420 0.278557i \(-0.910144\pi\)
−0.238973 + 0.971026i \(0.576811\pi\)
\(440\) 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 −0.614475 0.788937i \(-0.710632\pi\)
0.376002 + 0.926619i \(0.377299\pi\)
\(444\) −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 −0.566800 0.823856i \(-0.691819\pi\)
0.430080 + 0.902791i \(0.358485\pi\)
\(458\) −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 \(0.0265752\pi\)
−0.996517 + 0.0833914i \(0.973425\pi\)
\(462\) 15.9290 6.86159i 0.741084 0.319230i
\(463\) 8.12604i 0.377649i −0.982011 0.188825i \(-0.939532\pi\)
0.982011 0.188825i \(-0.0604677\pi\)
\(464\) 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 −0.878949 0.476916i \(-0.841755\pi\)
0.0264534 0.999650i \(-0.491579\pi\)
\(468\) −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 0.615000 0.788527i \(-0.289156\pi\)
−0.375384 + 0.926869i \(0.622489\pi\)
\(480\) 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 −0.0809478 0.996718i \(-0.525795\pi\)
−0.903657 + 0.428256i \(0.859128\pi\)
\(488\) −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 \(0.172589\pi\)
−0.856574 + 0.516024i \(0.827411\pi\)
\(492\) −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 0.349098 0.937086i \(-0.386488\pi\)
0.986090 + 0.166215i \(0.0531546\pi\)
\(500\) −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 −0.903289 0.429033i \(-0.858854\pi\)
−0.0800909 + 0.996788i \(0.525521\pi\)
\(510\) 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 −0.998411 0.0563599i \(-0.982051\pi\)
0.548014 + 0.836469i \(0.315384\pi\)
\(522\) 0.539215 + 9.21707i 0.0236008 + 0.403420i
\(523\) 2.64380 1.52640i 0.115605 0.0667448i −0.441082 0.897467i \(-0.645405\pi\)
0.556688 + 0.830722i \(0.312072\pi\)
\(524\) 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 −0.861896 0.507086i \(-0.830723\pi\)
0.00820130 + 0.999966i \(0.497389\pi\)
\(542\) 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 −0.995747 0.0921260i \(-0.970634\pi\)
0.577657 + 0.816280i \(0.303967\pi\)
\(558\) −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 −0.959054 0.283222i \(-0.908597\pi\)
0.724804 + 0.688955i \(0.241930\pi\)
\(564\) −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 −0.819551 0.573007i \(-0.805777\pi\)
0.0864631 + 0.996255i \(0.472444\pi\)
\(570\) 33.4371 20.6302i 1.40052 0.864105i
\(571\) −2.34574 + 4.06294i −0.0981661 + 0.170029i −0.910926 0.412571i \(-0.864631\pi\)
0.812759 + 0.582599i \(0.197964\pi\)
\(572\) 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 −0.562876 0.826541i \(-0.690305\pi\)
0.997244 + 0.0741941i \(0.0236384\pi\)
\(578\) 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 \(0.0496048\pi\)
−0.987882 + 0.155208i \(0.950395\pi\)
\(588\) 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 −0.569172 0.822219i \(-0.692736\pi\)
0.427476 + 0.904027i \(0.359403\pi\)
\(594\) 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 0.532567 0.846388i \(-0.321227\pi\)
−0.466710 + 0.884410i \(0.654561\pi\)
\(600\) 15.9398 0.465854i 0.650739 0.0190184i
\(601\) 4.01388i 0.163729i 0.996643 + 0.0818647i \(0.0260875\pi\)
−0.996643 + 0.0818647i \(0.973912\pi\)
\(602\) −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 −0.250919 0.968008i \(-0.580733\pi\)
0.712860 + 0.701307i \(0.247400\pi\)
\(608\) 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 0.299580 0.954071i \(-0.403153\pi\)
−0.676460 + 0.736480i \(0.736487\pi\)
\(614\) −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 −0.999521 0.0309362i \(-0.990151\pi\)
0.526552 + 0.850143i \(0.323484\pi\)
\(620\) 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 \(0.297118\pi\)
−0.595085 + 0.803663i \(0.702882\pi\)
\(632\) −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 0.804299 0.594225i \(-0.202541\pi\)
−0.112464 + 0.993656i \(0.535874\pi\)
\(642\) 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 −0.226262 0.974066i \(-0.572651\pi\)
0.956697 0.291084i \(-0.0940160\pi\)
\(648\) −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 0.388081 0.921625i \(-0.373138\pi\)
0.992191 + 0.124725i \(0.0398049\pi\)
\(654\) 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 \(0.0528929\pi\)
−0.986226 + 0.165404i \(0.947107\pi\)
\(660\) −0.721822 24.6980i −0.0280969 0.961370i
\(661\) 9.22875 15.9847i 0.358957 0.621731i −0.628830 0.777543i \(-0.716466\pi\)
0.987787 + 0.155811i \(0.0497992\pi\)
\(662\) −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 0.705855 0.708357i \(-0.250563\pi\)
−0.966382 + 0.257110i \(0.917230\pi\)
\(678\) −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 0.483785 + 0.875187i \(0.339262\pi\)
−0.999827 + 0.0186238i \(0.994072\pi\)
\(684\) −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 0.855493 0.517814i \(-0.173254\pi\)
−0.876186 + 0.481972i \(0.839921\pi\)
\(692\) −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 \(0.183298\pi\)
−0.838731 + 0.544546i \(0.816702\pi\)
\(702\) 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 −0.508092 0.861303i \(-0.669649\pi\)
0.491864 + 0.870672i \(0.336316\pi\)
\(710\) −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 0.919701 0.392620i \(-0.128431\pi\)
−0.799869 + 0.600174i \(0.795098\pi\)
\(720\) −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 \(0.0732827\pi\)
−0.973615 + 0.228196i \(0.926717\pi\)
\(728\) 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 −0.821800 0.569777i \(-0.807030\pi\)
−0.0825411 0.996588i \(-0.526304\pi\)
\(734\) 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 0.465093 0.885262i \(-0.346021\pi\)
−0.534113 + 0.845413i \(0.679354\pi\)
\(740\) −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 0.999953 + 0.00969962i \(0.00308753\pi\)
−0.491576 + 0.870834i \(0.663579\pi\)
\(752\) −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 −0.266919 0.963719i \(-0.586006\pi\)
0.701146 + 0.713018i \(0.252672\pi\)
\(762\) 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 0.0316148 0.999500i \(-0.489935\pi\)
−0.849785 + 0.527129i \(0.823268\pi\)
\(774\) −10.4006 + 0.608455i −0.373843 + 0.0218705i
\(775\) 45.5377 + 78.8735i