Properties

Label 546.2.bg.b.311.18
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 311.18
Character \(\chi\) \(=\) 546.311
Dual form 546.2.bg.b.467.18

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} +(1.73131 + 0.0505991i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(3.26421 - 1.88459i) q^{5} +(0.821836 + 1.52466i) q^{6} +(-0.385108 + 2.61757i) q^{7} -1.00000 q^{8} +(2.99488 + 0.175206i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} +(1.73131 + 0.0505991i) 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} +(2.99488 + 0.175206i) q^{9} +(3.26421 + 1.88459i) q^{10} +(-1.89239 + 3.27771i) q^{11} +(-0.909476 + 1.47406i) 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} +(1.34571 + 2.68124i) q^{18} +(-3.00909 - 5.21190i) q^{19} +3.76919i q^{20} +(-0.799188 + 4.51235i) q^{21} -3.78477 q^{22} +(5.79704 - 3.34692i) q^{23} +(-1.73131 - 0.0505991i) 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} +(5.55601 + 3.42798i) q^{30} +(-4.94611 + 8.56691i) q^{31} +(0.500000 - 0.866025i) q^{32} +(-3.44216 + 5.57898i) 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} +(-4.91733 - 3.84966i) q^{39} +(-3.26421 + 1.88459i) q^{40} -6.69591i q^{41} +(-4.30740 + 1.56406i) q^{42} -3.47280 q^{43} +(-1.89239 - 3.27771i) q^{44} +(10.1061 - 5.07222i) 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} +(-2.11026 + 3.42027i) q^{51} +(3.30355 - 1.44449i) q^{52} +(-0.653696 - 0.377412i) q^{53} +(2.19417 + 4.71016i) 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} +(-0.190718 + 6.52564i) q^{60} +(-8.37307 + 4.83419i) q^{61} -9.89221 q^{62} +(-1.61196 + 7.77184i) q^{63} +1.00000 q^{64} +(-13.5058 - 1.51074i) q^{65} +(-6.55262 - 0.191506i) 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} +(-2.99488 - 0.175206i) q^{72} +(-2.53273 + 4.38682i) q^{73} +(5.92523 + 3.42094i) q^{74} +(8.37333 - 13.5713i) q^{75} +6.01818 q^{76} +(-7.85087 - 6.21573i) q^{77} +(0.875238 - 6.18336i) q^{78} +(-0.402095 - 0.696449i) q^{79} +(-3.26421 - 1.88459i) q^{80} +(8.93861 + 1.04944i) q^{81} +(5.79883 - 3.34796i) q^{82} -6.88779i q^{83} +(-3.50822 - 2.94829i) q^{84} +8.74567i q^{85} +(-1.73640 - 3.00754i) q^{86} +(0.155724 - 5.32830i) 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} +(-8.99673 + 14.5817i) q^{93} +(-6.71987 - 3.87972i) q^{94} +(-19.6446 - 11.3418i) q^{95} +(0.909476 - 1.47406i) 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
\(3\) 1.73131 + 0.0505991i 0.999573 + 0.0292134i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) 3.26421 1.88459i 1.45980 0.842816i 0.460799 0.887505i \(-0.347563\pi\)
0.999001 + 0.0446889i \(0.0142297\pi\)
\(6\) 0.821836 + 1.52466i 0.335513 + 0.622440i
\(7\) −0.385108 + 2.61757i −0.145557 + 0.989350i
\(8\) −1.00000 −0.353553
\(9\) 2.99488 + 0.175206i 0.998293 + 0.0584019i
\(10\) 3.26421 + 1.88459i 1.03223 + 0.595961i
\(11\) −1.89239 + 3.27771i −0.570576 + 0.988266i 0.425931 + 0.904756i \(0.359947\pi\)
−0.996507 + 0.0835105i \(0.973387\pi\)
\(12\) −0.909476 + 1.47406i −0.262543 + 0.425525i
\(13\) −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 \(-0.924125\pi\)
0.690346 + 0.723479i \(0.257458\pi\)
\(18\) 1.34571 + 2.68124i 0.317186 + 0.631975i
\(19\) −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
\(21\) −0.799188 + 4.51235i −0.174397 + 0.984675i
\(22\) −3.78477 −0.806916
\(23\) 5.79704 3.34692i 1.20877 0.697881i 0.246276 0.969200i \(-0.420793\pi\)
0.962490 + 0.271319i \(0.0874597\pi\)
\(24\) −1.73131 0.0505991i −0.353402 0.0103285i
\(25\) 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 \(-0.0922424\pi\)
\(30\) 5.55601 + 3.42798i 1.01438 + 0.625861i
\(31\) −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
\(33\) −3.44216 + 5.57898i −0.599203 + 0.971176i
\(34\) −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
\(39\) −4.91733 3.84966i −0.787403 0.616439i
\(40\) −3.26421 + 1.88459i −0.516117 + 0.297980i
\(41\) 6.69591i 1.04573i −0.852417 0.522863i \(-0.824864\pi\)
0.852417 0.522863i \(-0.175136\pi\)
\(42\) −4.30740 + 1.56406i −0.664647 + 0.241339i
\(43\) −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
\(45\) 10.1061 5.07222i 1.50653 0.756122i
\(46\) 5.79704 + 3.34692i 0.854726 + 0.493477i
\(47\) −6.71987 + 3.87972i −0.980194 + 0.565915i −0.902329 0.431049i \(-0.858144\pi\)
−0.0778650 + 0.996964i \(0.524810\pi\)
\(48\) −0.821836 1.52466i −0.118622 0.220066i
\(49\) −6.70338 2.01610i −0.957626 0.288014i
\(50\) 9.20677 1.30203
\(51\) −2.11026 + 3.42027i −0.295496 + 0.478934i
\(52\) 3.30355 1.44449i 0.458120 0.200314i
\(53\) −0.653696 0.377412i −0.0897921 0.0518415i 0.454432 0.890782i \(-0.349842\pi\)
−0.544224 + 0.838940i \(0.683176\pi\)
\(54\) 2.19417 + 4.71016i 0.298589 + 0.640972i
\(55\) 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 \(-0.422715\pi\)
−0.720414 + 0.693544i \(0.756048\pi\)
\(60\) −0.190718 + 6.52564i −0.0246215 + 0.842456i
\(61\) −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
\(63\) −1.61196 + 7.77184i −0.203088 + 0.979160i
\(64\) 1.00000 0.125000
\(65\) −13.5058 1.51074i −1.67518 0.187384i
\(66\) −6.55262 0.191506i −0.806571 0.0235728i
\(67\) 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 \(-0.379366\pi\)
0.369976 + 0.929041i \(0.379366\pi\)
\(72\) −2.99488 0.175206i −0.352950 0.0206482i
\(73\) −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
\(75\) 8.37333 13.5713i 0.966869 1.56708i
\(76\) 6.01818 0.690333
\(77\) −7.85087 6.21573i −0.894690 0.708348i
\(78\) 0.875238 6.18336i 0.0991012 0.700128i
\(79\) −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
\(81\) 8.93861 + 1.04944i 0.993178 + 0.116604i
\(82\) 5.79883 3.34796i 0.640374 0.369720i
\(83\) 6.88779i 0.756033i −0.925799 0.378017i \(-0.876606\pi\)
0.925799 0.378017i \(-0.123394\pi\)
\(84\) −3.50822 2.94829i −0.382778 0.321685i
\(85\) 8.74567i 0.948601i
\(86\) −1.73640 3.00754i −0.187241 0.324311i
\(87\) 0.155724 5.32830i 0.0166954 0.571254i
\(88\) 1.89239 3.27771i 0.201729 0.349405i
\(89\) 13.5271 7.80988i 1.43387 0.827845i 0.436457 0.899725i \(-0.356233\pi\)
0.997413 + 0.0718798i \(0.0228998\pi\)
\(90\) 9.44573 + 6.21604i 0.995667 + 0.655228i
\(91\) 6.71611 6.77450i 0.704040 0.710160i
\(92\) 6.69384i 0.697881i
\(93\) −8.99673 + 14.5817i −0.932917 + 1.51205i
\(94\) −6.71987 3.87972i −0.693102 0.400162i
\(95\) −19.6446 11.3418i −2.01549 1.16365i
\(96\) 0.909476 1.47406i 0.0928230 0.150446i
\(97\) −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 \(-0.810809\pi\)
0.899210 + 0.437518i \(0.144142\pi\)
\(102\) −4.01717 0.117406i −0.397760 0.0116249i
\(103\) −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
\(105\) 5.89522 + 16.2354i 0.575315 + 1.58441i
\(106\) 0.754823i 0.0733149i
\(107\) 4.75556 2.74562i 0.459737 0.265430i −0.252196 0.967676i \(-0.581153\pi\)
0.711934 + 0.702247i \(0.247820\pi\)
\(108\) −2.98203 + 4.25529i −0.286946 + 0.409465i
\(109\) 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 \(0.185359\pi\)
−0.835187 + 0.549965i \(0.814641\pi\)
\(114\) 5.47339 8.87116i 0.512630 0.830860i
\(115\) 12.6152 21.8501i 1.17637 2.03753i
\(116\) 2.66529 + 1.53881i 0.247466 + 0.142875i
\(117\) −8.31864 6.91377i −0.769059 0.639178i
\(118\) 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
\(123\) 0.338807 11.5927i 0.0305492 1.04528i
\(124\) −4.94611 8.56691i −0.444174 0.769331i
\(125\) 15.8561i 1.41821i
\(126\) −7.53660 + 2.48992i −0.671413 + 0.221820i
\(127\) 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
\(129\) −6.01251 0.175721i −0.529372 0.0154714i
\(130\) −5.44455 12.4517i −0.477518 1.09209i
\(131\) 0.646676 + 1.12008i 0.0565003 + 0.0978614i 0.892892 0.450271i \(-0.148672\pi\)
−0.836392 + 0.548132i \(0.815339\pi\)
\(132\) −3.11046 5.77049i −0.270731 0.502256i
\(133\) 14.8013 5.86937i 1.28344 0.508939i
\(134\) 5.21907i 0.450859i
\(135\) 17.7535 8.27024i 1.52798 0.711789i
\(136\) 1.16015 2.00944i 0.0994823 0.172308i
\(137\) −1.45303 + 2.51672i −0.124141 + 0.215018i −0.921397 0.388623i \(-0.872951\pi\)
0.797256 + 0.603641i \(0.206284\pi\)
\(138\) 9.86713 + 6.08789i 0.839945 + 0.518235i
\(139\) 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
\(144\) −1.34571 2.68124i −0.112142 0.223437i
\(145\) −5.80004 10.0460i −0.481668 0.834273i
\(146\) −5.06546 −0.419220
\(147\) −11.5036 3.82967i −0.948804 0.315866i
\(148\) 6.84187i 0.562398i
\(149\) −2.35181 4.07346i −0.192668 0.333711i 0.753465 0.657487i \(-0.228381\pi\)
−0.946134 + 0.323777i \(0.895047\pi\)
\(150\) 15.9398 + 0.465854i 1.30148 + 0.0380368i
\(151\) −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
\(156\) 5.79257 2.33370i 0.463777 0.186846i
\(157\) −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
\(159\) −1.11266 0.686494i −0.0882393 0.0544425i
\(160\) 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
\(165\) −0.721822 + 24.6980i −0.0561938 + 1.92274i
\(166\) 5.96500 3.44389i 0.462974 0.267298i
\(167\) 6.31465i 0.488642i 0.969694 + 0.244321i \(0.0785651\pi\)
−0.969694 + 0.244321i \(0.921435\pi\)
\(168\) 0.799188 4.51235i 0.0616587 0.348135i
\(169\) 3.85179 + 12.4163i 0.296292 + 0.955097i
\(170\) −7.57397 + 4.37284i −0.580897 + 0.335381i
\(171\) −8.09871 16.1362i −0.619324 1.23397i
\(172\) 1.73640 3.00754i 0.132399 0.229323i
\(173\) −7.91626 13.7114i −0.601862 1.04246i −0.992539 0.121928i \(-0.961092\pi\)
0.390677 0.920528i \(-0.372241\pi\)
\(174\) 4.69231 2.52929i 0.355723 0.191745i
\(175\) 19.0979 + 15.1203i 1.44366 + 1.14299i
\(176\) 3.78477 0.285288
\(177\) −6.27548 3.87189i −0.471694 0.291029i
\(178\) 13.5271 + 7.80988i 1.01390 + 0.585375i
\(179\) −14.2272 8.21410i −1.06339 0.613950i −0.137024 0.990568i \(-0.543754\pi\)
−0.926369 + 0.376617i \(0.877087\pi\)
\(180\) −0.660383 + 11.2883i −0.0492220 + 0.841377i
\(181\) 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
\(186\) −17.1265 0.500537i −1.25578 0.0367012i
\(187\) −4.39092 7.60529i −0.321096 0.556154i
\(188\) 7.75944i 0.565915i
\(189\) −3.18406 + 13.3739i −0.231606 + 0.972810i
\(190\) 22.6836i 1.64564i
\(191\) −9.19327 + 5.30774i −0.665201 + 0.384054i −0.794256 0.607583i \(-0.792139\pi\)
0.129055 + 0.991637i \(0.458806\pi\)
\(192\) 1.73131 + 0.0505991i 0.124947 + 0.00365168i
\(193\) 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
\(195\) −23.3062 3.29893i −1.66899 0.236242i
\(196\) 5.09768 4.79725i 0.364120 0.342661i
\(197\) −14.2398 −1.01454 −0.507271 0.861787i \(-0.669346\pi\)
−0.507271 + 0.861787i \(0.669346\pi\)
\(198\) −11.3349 0.663113i −0.805539 0.0471254i
\(199\) 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
\(201\) 7.69322 + 4.74662i 0.542638 + 0.334800i
\(202\) 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
\(207\) 17.9478 9.00795i 1.24746 0.626096i
\(208\) −0.400812 + 3.58320i −0.0277913 + 0.248450i
\(209\) 22.7774 1.57555
\(210\) −11.1127 + 13.2231i −0.766847 + 0.912482i
\(211\) −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
\(213\) 10.7946 + 0.315483i 0.739636 + 0.0216165i
\(214\) 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
\(219\) −4.60691 + 7.46679i −0.311306 + 0.504559i
\(220\) −12.3543 7.13275i −0.832926 0.480890i
\(221\) 7.66525 3.35166i 0.515621 0.225457i
\(222\) 10.0853 + 6.22252i 0.676883 + 0.417628i
\(223\) −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 \(-0.515276\pi\)
−0.889014 + 0.457879i \(0.848609\pi\)
\(228\) 10.4193 + 0.304515i 0.690038 + 0.0201670i
\(229\) −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
\(231\) −13.2778 11.1586i −0.873614 0.734183i
\(232\) 3.07761i 0.202055i
\(233\) 18.8229 10.8674i 1.23313 0.711947i 0.265447 0.964125i \(-0.414480\pi\)
0.967681 + 0.252179i \(0.0811471\pi\)
\(234\) 1.82818 10.6610i 0.119512 0.696934i
\(235\) −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 \(-0.246155\pi\)
0.715597 + 0.698514i \(0.246155\pi\)
\(240\) −5.55601 3.42798i −0.358639 0.221275i
\(241\) −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
\(243\) 15.4224 + 2.26919i 0.989348 + 0.145569i
\(244\) 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
\(249\) 0.348516 11.9249i 0.0220863 0.755710i
\(250\) 13.7318 7.92805i 0.868474 0.501414i
\(251\) 8.59657 0.542611 0.271305 0.962493i \(-0.412545\pi\)
0.271305 + 0.962493i \(0.412545\pi\)
\(252\) −5.92463 5.28192i −0.373217 0.332730i
\(253\) 25.3347i 1.59278i
\(254\) 6.09092 + 10.5498i 0.382178 + 0.661952i
\(255\) −0.442523 + 15.1415i −0.0277119 + 0.948196i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 10.8190 + 18.7391i 0.674873 + 1.16891i 0.976506 + 0.215490i \(0.0691349\pi\)
−0.301633 + 0.953424i \(0.597532\pi\)
\(258\) −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
\(261\) 0.539215 9.21707i 0.0333766 0.570523i
\(262\) −0.646676 + 1.12008i −0.0399518 + 0.0691985i
\(263\) −12.6463 7.30132i −0.779802 0.450219i 0.0565583 0.998399i \(-0.481987\pi\)
−0.836360 + 0.548181i \(0.815321\pi\)
\(264\) 3.44216 5.57898i 0.211850 0.343362i
\(265\) −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 \(0.341250\pi\)
−0.999691 + 0.0248689i \(0.992083\pi\)
\(270\) 16.0390 + 11.2398i 0.976101 + 0.684035i
\(271\) 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
\(273\) 11.9705 11.3889i 0.724486 0.689290i
\(274\) −2.90606 −0.175561
\(275\) 17.4228 + 30.1771i 1.05063 + 1.81975i
\(276\) −0.338702 + 11.5891i −0.0203875 + 0.697583i
\(277\) −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 \(-0.281257\pi\)
0.634376 + 0.773025i \(0.281257\pi\)
\(282\) −11.4379 7.05702i −0.681116 0.420239i
\(283\) 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
\(285\) −33.4371 20.6302i −1.98064 1.22203i
\(286\) 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
\(291\) −8.73468 0.255279i −0.512036 0.0149647i
\(292\) −2.53273 4.38682i −0.148217 0.256719i
\(293\) 15.1575i 0.885509i 0.896643 + 0.442755i \(0.145999\pi\)
−0.896643 + 0.442755i \(0.854001\pi\)
\(294\) −2.43522 11.8773i −0.142025 0.692697i
\(295\) −16.0465 −0.934261
\(296\) −5.92523 + 3.42094i −0.344397 + 0.198838i
\(297\) −11.2863 + 16.1053i −0.654899 + 0.934524i
\(298\) 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
\(303\) 1.29247 2.09480i 0.0742502 0.120343i
\(304\) −3.00909 + 5.21190i −0.172583 + 0.298923i
\(305\) −18.2210 + 31.5597i −1.04333 + 1.80710i
\(306\) −6.94904 0.406531i −0.397250 0.0232398i
\(307\) 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 \(-0.890911\pi\)
0.761945 + 0.647641i \(0.224244\pi\)
\(312\) 4.91733 + 3.84966i 0.278389 + 0.217944i
\(313\) 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
\(315\) 9.38497 + 28.4068i 0.528783 + 1.60054i
\(316\) 0.804189 0.0452392
\(317\) 0.315688 + 0.546787i 0.0177308 + 0.0307106i 0.874755 0.484566i \(-0.161022\pi\)
−0.857024 + 0.515277i \(0.827689\pi\)
\(318\) 0.0381934 1.30683i 0.00214178 0.0732836i
\(319\) 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
\(324\) −5.37814 + 7.21634i −0.298786 + 0.400908i
\(325\) −30.4150 + 13.2991i −1.68712 + 0.737700i
\(326\) 7.92899 + 4.57780i 0.439146 + 0.253541i
\(327\) 0.477529 + 0.294629i 0.0264074 + 0.0162930i
\(328\) 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
\(333\) 18.3447 9.20715i 1.00528 0.504549i
\(334\) −5.46865 + 3.15733i −0.299231 + 0.172761i
\(335\) 19.6716 1.07478
\(336\) 4.30740 1.56406i 0.234988 0.0853263i
\(337\) −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
\(339\) −0.591626 + 20.2432i −0.0321327 + 1.09946i
\(340\) −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
\(345\) 22.9464 37.1910i 1.23539 2.00230i
\(346\) 7.91626 13.7114i 0.425581 0.737128i
\(347\) −1.02619 0.592469i −0.0550886 0.0318054i 0.472203 0.881490i \(-0.343459\pi\)
−0.527291 + 0.849685i \(0.676792\pi\)
\(348\) 4.53658 + 2.79901i 0.243186 + 0.150043i
\(349\) 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
\(351\) −14.0523 12.3908i −0.750058 0.661372i
\(352\) 1.89239 + 3.27771i 0.100864 + 0.174702i
\(353\) 0.0869477 + 0.0501993i 0.00462776 + 0.00267184i 0.502312 0.864686i \(-0.332483\pi\)
−0.497684 + 0.867358i \(0.665816\pi\)
\(354\) 0.215414 7.37067i 0.0114491 0.391746i
\(355\) 20.3522 11.7503i 1.08018 0.623643i
\(356\) 15.6198i 0.827845i
\(357\) −8.14014 6.84094i −0.430822 0.362061i
\(358\) 16.4282i 0.868257i
\(359\) 4.13025 + 7.15381i 0.217987 + 0.377564i 0.954192 0.299194i \(-0.0967178\pi\)
−0.736206 + 0.676758i \(0.763384\pi\)
\(360\) −10.1061 + 5.07222i −0.532639 + 0.267330i
\(361\) −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
\(366\) −14.2518 8.79316i −0.744953 0.459626i
\(367\) −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
\(369\) 1.17316 20.0534i 0.0610724 1.04394i
\(370\) 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
\(375\) 0.802304 27.4518i 0.0414308 1.41761i
\(376\) 6.71987 3.87972i 0.346551 0.200081i
\(377\) −6.58213 + 8.93350i −0.338997 + 0.460099i
\(378\) −13.1742 + 3.92948i −0.677607 + 0.202111i
\(379\) 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
\(381\) 21.0906 + 0.616390i 1.08050 + 0.0315786i
\(382\) −9.19327 5.30774i −0.470368 0.271567i
\(383\) 17.2864 9.98032i 0.883295 0.509971i 0.0115516 0.999933i \(-0.496323\pi\)
0.871743 + 0.489963i \(0.162990\pi\)
\(384\) 0.821836 + 1.52466i 0.0419391 + 0.0778049i
\(385\) −37.3410 5.49376i −1.90307 0.279988i
\(386\) 4.51694i 0.229906i
\(387\) −10.4006 0.608455i −0.528694 0.0309295i
\(388\) 2.52256 4.36920i 0.128064 0.221813i
\(389\) 18.6337 + 10.7582i 0.944765 + 0.545460i 0.891451 0.453118i \(-0.149688\pi\)
0.0533140 + 0.998578i \(0.483022\pi\)
\(390\) −8.79616 21.8333i −0.445411 1.10557i
\(391\) 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
\(396\) −5.09319 10.1479i −0.255943 0.509951i
\(397\) −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
\(399\) 25.9227 9.41278i 1.29776 0.471228i
\(400\) −9.20677 −0.460338
\(401\) 3.80346 + 6.58778i 0.189936 + 0.328978i 0.945229 0.326409i \(-0.105839\pi\)
−0.755293 + 0.655387i \(0.772505\pi\)
\(402\) −0.264080 + 9.03583i −0.0131711 + 0.450666i
\(403\) 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
\(408\) 2.11026 3.42027i 0.104474 0.169329i
\(409\) −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
\(411\) −2.64299 + 4.28371i −0.130369 + 0.211300i
\(412\) 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
\(417\) −0.270572 + 9.25797i −0.0132500 + 0.453365i
\(418\) 11.3887 + 19.7258i 0.557040 + 0.964822i
\(419\) −26.6532 −1.30209 −0.651047 0.759037i \(-0.725670\pi\)
−0.651047 + 0.759037i \(0.725670\pi\)
\(420\) −17.0079 3.01229i −0.829900 0.146985i
\(421\) 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
\(423\) −20.8049 + 10.4419i −1.01157 + 0.507704i
\(424\) 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
\(429\) 21.9235 8.83253i 1.05848 0.426439i
\(430\) −11.3360 6.54482i −0.546669 0.315619i
\(431\) −6.87264 + 11.9038i −0.331043 + 0.573384i −0.982717 0.185116i \(-0.940734\pi\)
0.651673 + 0.758500i \(0.274067\pi\)
\(432\) −2.19417 4.71016i −0.105567 0.226618i
\(433\) 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
\(438\) −8.76989 0.256308i −0.419041 0.0122469i
\(439\) −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
\(441\) −19.7226 7.21243i −0.939171 0.343449i
\(442\) 6.73525 + 4.96248i 0.320363 + 0.236041i
\(443\) 5.01928 2.89788i 0.238473 0.137682i −0.376002 0.926619i \(-0.622701\pi\)
0.614475 + 0.788937i \(0.289368\pi\)
\(444\) −0.346193 + 11.8454i −0.0164296 + 0.562158i
\(445\) 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 \(-0.380095\pi\)
0.367848 + 0.929886i \(0.380095\pi\)
\(450\) 27.5732 + 1.61308i 1.29981 + 0.0760412i
\(451\) 21.9472 + 12.6712i 1.03346 + 0.596666i
\(452\) −10.1259 5.84621i −0.476284 0.274983i
\(453\) −9.38511 5.79049i −0.440951 0.272061i
\(454\) 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
\(459\) −6.91924 + 9.87357i −0.322962 + 0.460859i
\(460\) 12.6152 + 21.8501i 0.588185 + 1.01877i
\(461\) 3.58098i 0.166783i −0.996517 0.0833914i \(-0.973425\pi\)
0.996517 0.0833914i \(-0.0265752\pi\)
\(462\) 3.02474 17.0782i 0.140724 0.794550i
\(463\) 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
\(465\) −1.88662 + 64.5530i −0.0874898 + 2.99357i
\(466\) 18.8229 + 10.8674i 0.871953 + 0.503422i
\(467\) 18.4226 + 31.9089i 0.852496 + 1.47657i 0.878949 + 0.476916i \(0.158245\pi\)
−0.0264534 + 0.999650i \(0.508421\pi\)
\(468\) 10.1468 3.74727i 0.469037 0.173218i
\(469\) −8.57127 + 10.8261i −0.395785 + 0.499902i
\(470\) −29.2468 −1.34905
\(471\) −16.7185 10.3151i −0.770350 0.475296i
\(472\) 3.68691 + 2.12864i 0.169704 + 0.0979784i
\(473\) 6.57189 11.3828i 0.302176 0.523384i
\(474\) 0.731391 1.18542i 0.0335939 0.0544483i
\(475\) −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 \(-0.377511\pi\)
−0.615000 + 0.788527i \(0.710844\pi\)
\(480\) 0.190718 6.52564i 0.00870502 0.297853i
\(481\) −24.5158 2.74230i −1.11782 0.125038i
\(482\) −12.5745 −0.572754
\(483\) 10.4696 + 28.8331i 0.476381 + 1.31195i
\(484\) 3.32449 0.151113
\(485\) −16.4683 + 9.50800i −0.747789 + 0.431736i
\(486\) 5.74603 + 14.4908i 0.260645 + 0.657316i
\(487\) −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 \(-0.827411\pi\)
0.856574 0.516024i \(-0.172589\pi\)
\(492\) 9.87018 + 6.08977i 0.444982 + 0.274548i
\(493\) 6.18429 + 3.57050i 0.278526 + 0.160807i
\(494\) −19.8814 + 8.69319i −0.894505 + 0.391125i
\(495\) −2.49940 + 42.7235i −0.112340 + 1.92028i
\(496\) 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
\(501\) −0.319516 + 10.9326i −0.0142749 + 0.488434i
\(502\) 4.29829 + 7.44485i 0.191842 + 0.332280i
\(503\) −27.5477 −1.22829 −0.614145 0.789193i \(-0.710499\pi\)
−0.614145 + 0.789193i \(0.710499\pi\)
\(504\) 1.61196 7.77184i 0.0718026 0.346185i
\(505\) 5.35643i 0.238358i
\(506\) −21.9405 + 12.6673i −0.975372 + 0.563131i
\(507\) 6.04040 + 21.6913i 0.268264 + 0.963346i
\(508\) −6.09092 + 10.5498i −0.270241 + 0.468071i
\(509\) 22.1861 12.8091i 0.983380 0.567755i 0.0800909 0.996788i \(-0.474479\pi\)
0.903289 + 0.429033i \(0.141146\pi\)
\(510\) −13.3342 + 7.18750i −0.590447 + 0.318268i
\(511\) −10.5074 8.31900i −0.464822 0.368011i
\(512\) −1.00000 −0.0441942
\(513\) −13.2049 28.3466i −0.583011 1.25153i
\(514\) −10.8190 + 18.7391i −0.477207 + 0.826547i
\(515\) −21.7500 + 37.6722i −0.958421 + 1.66003i
\(516\) 3.15843 5.11912i 0.139042 0.225357i
\(517\) 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 \(-0.684616\pi\)
0.998411 + 0.0563599i \(0.0179494\pi\)
\(522\) 8.25183 4.14156i 0.361173 0.181271i
\(523\) 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
\(525\) 32.2993 + 27.1442i 1.40966 + 1.18467i
\(526\) 14.6026i 0.636705i
\(527\) −11.4765 19.8779i −0.499924 0.865893i
\(528\) 6.55262 + 0.191506i 0.285166 + 0.00833423i
\(529\) 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
\(534\) 23.0245 + 14.2058i 0.996366 + 0.614745i
\(535\) 10.3488 17.9246i 0.447416 0.774948i
\(536\) −4.51984 2.60953i −0.195228 0.112715i
\(537\) −24.2161 14.9410i −1.04500 0.644754i
\(538\) −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
\(543\) −0.543338 + 18.5910i −0.0233169 + 0.797815i
\(544\) 1.16015 + 2.00944i 0.0497412 + 0.0861542i
\(545\) 1.22105 0.0523039
\(546\) 15.8483 + 4.67226i 0.678246 + 0.199954i
\(547\) 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
\(549\) −25.9233 + 13.0108i −1.10638 + 0.555288i
\(550\) −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
\(555\) 23.4538 38.0135i 0.995559 1.61358i
\(556\) −4.63096 2.67369i −0.196397 0.113390i
\(557\) 9.86728 17.0906i 0.418090 0.724154i −0.577657 0.816280i \(-0.696033\pi\)
0.995747 + 0.0921260i \(0.0293662\pi\)
\(558\) −29.6260 1.73317i −1.25417 0.0733710i
\(559\) 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 \(-0.758070\pi\)
0.959054 + 0.283222i \(0.0914032\pi\)
\(564\) 0.392621 13.4340i 0.0165323 0.565673i
\(565\) 22.0355 + 38.1665i 0.927039 + 1.60568i
\(566\) 32.5372i 1.36764i
\(567\) −6.18931 + 22.9933i −0.259927 + 0.965628i
\(568\) −6.23494 −0.261612
\(569\) 17.4869 10.0960i 0.733088 0.423248i −0.0864631 0.996255i \(-0.527556\pi\)
0.819551 + 0.573007i \(0.194223\pi\)
\(570\) 1.14777 39.2725i 0.0480749 1.64494i
\(571\) −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
\(576\) 2.99488 + 0.175206i 0.124787 + 0.00730024i
\(577\) 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
\(579\) 6.65824 + 4.10805i 0.276707 + 0.170725i
\(580\) 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
\(585\) −40.1834 6.89076i −1.66138 0.284898i
\(586\) −13.1268 + 7.57874i −0.542261 + 0.313075i
\(587\) 7.52079i 0.310416i −0.987882 0.155208i \(-0.950395\pi\)
0.987882 0.155208i \(-0.0496048\pi\)
\(588\) 9.06841 8.04760i 0.373975 0.331878i
\(589\) 59.5331 2.45302
\(590\) −8.02323 13.8966i −0.330311 0.572116i
\(591\) −24.6535 0.720520i −1.01411 0.0296382i
\(592\) −5.92523 3.42094i −0.243526 0.140600i
\(593\) 3.45052 1.99216i 0.141696 0.0818081i −0.427476 0.904027i \(-0.640597\pi\)
0.569172 + 0.822219i \(0.307264\pi\)
\(594\) −19.5907 1.72159i −0.803818 0.0706378i
\(595\) −22.8924 3.36802i −0.938498 0.138076i
\(596\) 4.70363 0.192668
\(597\) 34.9508 + 21.5642i 1.43044 + 0.882564i
\(598\) −9.66918 22.1135i −0.395402 0.904286i
\(599\) −1.61182 0.930583i −0.0658571 0.0380226i 0.466710 0.884410i \(-0.345439\pi\)
−0.532567 + 0.846388i \(0.678773\pi\)
\(600\) −8.37333 + 13.5713i −0.341840 + 0.554047i
\(601\) 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
\(606\) 2.46039 + 0.0719070i 0.0999463 + 0.00292102i
\(607\) 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
\(609\) 13.8873 + 2.45959i 0.562740 + 0.0996676i
\(610\) −36.4419 −1.47549
\(611\) 27.8036 + 3.11008i 1.12481 + 0.125820i
\(612\) −3.12245 6.22131i −0.126218 0.251482i
\(613\) −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 \(-0.651446\pi\)
−0.458033 + 0.888935i \(0.651446\pi\)
\(618\) −17.0121 10.4962i −0.684327 0.422221i
\(619\) −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
\(621\) 31.5291 14.6874i 1.26522 0.589386i
\(622\) −6.34519 −0.254419
\(623\) 15.2335 + 38.4158i 0.610319 + 1.53910i
\(624\) −0.875238 + 6.18336i −0.0350375 + 0.247533i
\(625\) −6.86537 11.8912i −0.274615 0.475647i
\(626\) 9.83094 + 5.67590i 0.392924 + 0.226854i
\(627\) 39.4348 + 1.15252i 1.57488 + 0.0460271i
\(628\) 9.82232 5.67092i 0.391953 0.226294i
\(629\) 15.8752i 0.632987i
\(630\) −19.9086 + 22.3310i −0.793176 + 0.889690i
\(631\) 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
\(633\) −22.6235 0.661193i −0.899204 0.0262801i
\(634\) −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
\(639\) 18.6729 + 1.09240i 0.738688 + 0.0432146i
\(640\) 3.26421 + 1.88459i 0.129029 + 0.0744951i
\(641\) −17.5159 10.1128i −0.691835 0.399431i 0.112464 0.993656i \(-0.464126\pi\)
−0.804299 + 0.594225i \(0.797459\pi\)
\(642\) 8.09443 + 4.99416i 0.319462 + 0.197104i
\(643\) −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 \(0.427349\pi\)
−0.956697 + 0.291084i \(0.905984\pi\)
\(648\) −8.93861 1.04944i −0.351142 0.0412259i
\(649\) 13.9541 8.05640i 0.547746 0.316241i
\(650\) −26.7248 19.6907i −1.04823 0.772331i
\(651\) −34.7040 29.1651i −1.36016 1.14307i
\(652\) 9.15561i 0.358561i
\(653\) −35.2713 + 20.3639i −1.38027 + 0.796900i −0.992191 0.124725i \(-0.960195\pi\)
−0.388081 + 0.921625i \(0.626862\pi\)
\(654\) −0.0163918 + 0.560867i −0.000640971 + 0.0219316i
\(655\) 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 \(-0.0528929\pi\)
\(660\) −21.0282 12.9741i −0.818522 0.505018i
\(661\) 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
\(663\) 13.4405 5.41491i 0.521987 0.210298i
\(664\) 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
\(669\) −3.71590 0.108601i −0.143665 0.00419874i
\(670\) 9.83582 + 17.0361i 0.379991 + 0.658163i
\(671\) 36.5926i 1.41264i
\(672\) 3.50822 + 2.94829i 0.135332 + 0.113733i
\(673\) 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
\(675\) 27.4549 39.1774i 1.05674 1.50794i
\(676\) −12.6787 2.87238i −0.487642 0.110476i
\(677\) 6.77872 + 11.7411i 0.260527 + 0.451247i 0.966382 0.257110i \(-0.0827703\pi\)
−0.705855 + 0.708357i \(0.749437\pi\)
\(678\) −17.8270 + 9.60925i −0.684641 + 0.369041i
\(679\) 1.94292 13.2060i 0.0745622 0.506799i
\(680\) 8.74567i 0.335381i
\(681\) −24.0287 14.8254i −0.920783 0.568111i
\(682\) 18.7199 32.4238i 0.716821 1.24157i
\(683\) 13.4864 23.3591i 0.516042 0.893811i −0.483785 0.875187i \(-0.660738\pi\)
0.999827 0.0186238i \(-0.00592847\pi\)
\(684\) 18.0237 + 1.05442i 0.689154 + 0.0403167i
\(685\) 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
\(690\) 43.6816 + 1.27663i 1.66293 + 0.0486006i
\(691\) −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
\(693\) −22.4234 19.9909i −0.851794 0.759391i
\(694\) 1.18494i 0.0449797i
\(695\) 10.0776 + 17.4550i 0.382266 + 0.662104i
\(696\) −0.155724 + 5.32830i −0.00590272 + 0.201969i
\(697\) 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 \(-0.183298\pi\)
\(702\) 3.70459 18.3651i 0.139821 0.693145i
\(703\) −35.6591 20.5878i −1.34491 0.776484i
\(704\) −1.89239 + 3.27771i −0.0713220 + 0.123533i
\(705\) −26.5992 + 43.1115i −1.00178 + 1.62367i
\(706\) 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
\(711\) −1.08220 2.15623i −0.0405858 0.0808649i
\(712\) −13.5271 + 7.80988i −0.506950 + 0.292688i
\(713\) 66.2169i 2.47984i
\(714\) 1.85436 10.4700i 0.0693978 0.391831i
\(715\) 30.5099 41.4091i 1.14100 1.54861i
\(716\) 14.2272 8.21410i 0.531697 0.306975i
\(717\) 38.3065 + 1.11954i 1.43058 + 0.0418101i
\(718\) −4.13025 + 7.15381i −0.154140 + 0.266978i
\(719\) −3.21317 5.56538i −0.119831 0.207554i 0.799869 0.600174i \(-0.204902\pi\)
−0.919701 + 0.392620i \(0.871569\pi\)
\(720\) −9.44573 6.21604i −0.352022 0.231658i
\(721\) −11.2556 28.3843i −0.419181 1.05709i
\(722\) −17.2185 −0.640806
\(723\) −11.4362 + 18.5356i −0.425318 + 0.689347i
\(724\) −9.29946 5.36904i −0.345612 0.199539i
\(725\) −24.5387 14.1674i −0.911344 0.526165i
\(726\) 3.02354 4.90050i 0.112214 0.181875i
\(727\) 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
\(732\) 0.489212 16.7390i 0.0180818 0.618691i
\(733\) −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
\(735\) −44.7677 + 9.17880i −1.65128 + 0.338565i
\(736\) 6.69384i 0.246738i
\(737\) −17.1066 + 9.87649i −0.630129 + 0.363805i
\(738\) 17.9534 9.01074i 0.660873 0.331690i
\(739\) −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
\(741\) −5.26734 + 37.2126i −0.193501 + 1.36704i
\(742\) 1.97581 + 0.290688i 0.0725341 + 0.0106715i
\(743\) −9.34291 −0.342758 −0.171379 0.985205i \(-0.554822\pi\)
−0.171379 + 0.985205i \(0.554822\pi\)
\(744\) 8.99673 14.5817i 0.329836 0.534592i
\(745\) −15.3536 8.86443i −0.562514 0.324767i
\(746\) −5.82807 + 10.0945i −0.213381 + 0.369586i
\(747\) 1.20678 20.6281i 0.0441538 0.754743i
\(748\) 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
\(753\) 14.8833 + 0.434979i 0.542379 + 0.0158515i
\(754\) −11.0277 1.23354i −0.401605 0.0449230i
\(755\) −23.9978 −0.873370
\(756\) −9.99012 9.44444i −0.363337 0.343491i
\(757\) −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
\(759\) −1.28191 + 43.8622i −0.0465304 + 1.59210i
\(760\) 19.6446 + 11.3418i 0.712585 + 0.411411i
\(761\) −11.9787 + 6.91589i −0.434227 + 0.250701i −0.701146 0.713018i \(-0.747328\pi\)
0.266919 + 0.963719i \(0.413994\pi\)
\(762\) 10.0115 + 18.5732i 0.362677 + 0.672834i
\(763\) −0.532031 + 0.671990i −0.0192608 + 0.0243277i
\(764\) 10.6155i 0.384054i
\(765\) −1.53229 + 26.1922i −0.0554001 + 0.946982i
\(766\) 17.2864 + 9.98032i 0.624584 + 0.360604i
\(767\) 6.14958 + 14.0641i 0.222048 + 0.507826i
\(768\) −0.909476 + 1.47406i −0.0328179 + 0.0531906i
\(769\) 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 \(-0.176732\pi\)
−0.0316148 + 0.999500i \(0.510065\pi\)
\(774\) −4.67338 9.31144i −0.167981 0.334693i
\(775\) 45.5377