Properties

Label 546.2.bg.a.467.1
Level $546$
Weight $2$
Character 546.467
Analytic conductor $4.360$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(18\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 467.1
Character \(\chi\) \(=\) 546.467
Dual form 546.2.bg.a.311.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 + 0.866025i) q^{2} +(-1.71076 + 0.270722i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(2.20332 + 1.27209i) q^{5} +(0.620929 - 1.61693i) q^{6} +(2.32714 + 1.25873i) q^{7} +1.00000 q^{8} +(2.85342 - 0.926282i) q^{9} +O(q^{10})\) \(q+(-0.500000 + 0.866025i) q^{2} +(-1.71076 + 0.270722i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(2.20332 + 1.27209i) q^{5} +(0.620929 - 1.61693i) q^{6} +(2.32714 + 1.25873i) q^{7} +1.00000 q^{8} +(2.85342 - 0.926282i) q^{9} +(-2.20332 + 1.27209i) q^{10} +(-2.05512 - 3.55958i) q^{11} +(1.08983 + 1.34620i) q^{12} +(0.691594 - 3.53860i) q^{13} +(-2.25366 + 1.38600i) q^{14} +(-4.11374 - 1.57975i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(2.85089 + 4.93789i) q^{17} +(-0.624526 + 2.93427i) q^{18} +(4.22658 - 7.32066i) q^{19} -2.54418i q^{20} +(-4.32196 - 1.52338i) q^{21} +4.11024 q^{22} +(1.13269 + 0.653959i) q^{23} +(-1.71076 + 0.270722i) q^{24} +(0.736416 + 1.27551i) q^{25} +(2.71872 + 2.36824i) q^{26} +(-4.63076 + 2.35713i) q^{27} +(-0.0734817 - 2.64473i) q^{28} +6.06189i q^{29} +(3.42498 - 2.77273i) q^{30} +(-0.00131550 - 0.00227852i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(4.47948 + 5.53322i) q^{33} -5.70178 q^{34} +(3.52623 + 5.73372i) q^{35} +(-2.22889 - 2.00799i) q^{36} +(6.13142 + 3.53998i) q^{37} +(4.22658 + 7.32066i) q^{38} +(-0.225177 + 6.24094i) q^{39} +(2.20332 + 1.27209i) q^{40} +2.51379i q^{41} +(3.48026 - 2.98124i) q^{42} +3.31665 q^{43} +(-2.05512 + 3.55958i) q^{44} +(7.46531 + 1.58890i) q^{45} +(-1.13269 + 0.653959i) q^{46} +(3.68624 + 2.12825i) q^{47} +(0.620929 - 1.61693i) q^{48} +(3.83121 + 5.85849i) q^{49} -1.47283 q^{50} +(-6.21399 - 7.67576i) q^{51} +(-3.41032 + 1.17036i) q^{52} +(-4.39543 + 2.53770i) q^{53} +(0.274044 - 5.18892i) q^{54} -10.4572i q^{55} +(2.32714 + 1.25873i) q^{56} +(-5.24882 + 13.6681i) q^{57} +(-5.24975 - 3.03094i) q^{58} +(1.68327 - 0.971837i) q^{59} +(0.688764 + 4.35248i) q^{60} +(-3.15576 - 1.82198i) q^{61} +0.00263100 q^{62} +(7.80626 + 1.43609i) q^{63} +1.00000 q^{64} +(6.02522 - 6.91691i) q^{65} +(-7.03165 + 1.11273i) q^{66} +(-2.80901 + 1.62178i) q^{67} +(2.85089 - 4.93789i) q^{68} +(-2.11481 - 0.812125i) q^{69} +(-6.72866 + 0.186950i) q^{70} -6.68865 q^{71} +(2.85342 - 0.926282i) q^{72} +(-1.31969 - 2.28578i) q^{73} +(-6.13142 + 3.53998i) q^{74} +(-1.60514 - 1.98273i) q^{75} -8.45317 q^{76} +(-0.302028 - 10.8705i) q^{77} +(-5.29222 - 3.31548i) q^{78} +(-7.07859 + 12.2605i) q^{79} +(-2.20332 + 1.27209i) q^{80} +(7.28400 - 5.28614i) q^{81} +(-2.17701 - 1.25689i) q^{82} -11.1300i q^{83} +(0.841696 + 4.50461i) q^{84} +14.5063i q^{85} +(-1.65832 + 2.87230i) q^{86} +(-1.64109 - 10.3705i) q^{87} +(-2.05512 - 3.55958i) q^{88} +(3.31853 + 1.91595i) q^{89} +(-5.10869 + 5.67070i) q^{90} +(6.06358 - 7.36431i) q^{91} -1.30792i q^{92} +(0.00286736 + 0.00354187i) q^{93} +(-3.68624 + 2.12825i) q^{94} +(18.6250 - 10.7532i) q^{95} +(1.08983 + 1.34620i) q^{96} +3.91287 q^{97} +(-6.98920 + 0.388679i) q^{98} +(-9.16129 - 8.25334i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 18q^{2} - 18q^{4} + 36q^{8} + 4q^{9} + O(q^{10}) \) \( 36q - 18q^{2} - 18q^{4} + 36q^{8} + 4q^{9} - 14q^{15} - 18q^{16} + 4q^{18} + 23q^{21} + 14q^{25} - 6q^{26} + 7q^{30} - 18q^{32} + 24q^{33} - 8q^{36} - 10q^{39} - 16q^{42} - 16q^{43} - 9q^{45} + 72q^{47} + 12q^{49} - 28q^{50} - 3q^{51} + 6q^{52} + 9q^{54} - 8q^{57} + 24q^{59} + 7q^{60} - 36q^{61} - 39q^{63} + 36q^{64} + 18q^{65} - 24q^{66} - 72q^{71} + 4q^{72} + 54q^{75} + 20q^{78} + 20q^{79} - 20q^{81} - 24q^{82} - 7q^{84} + 8q^{86} - 24q^{87} - 72q^{89} - 2q^{91} - 14q^{93} - 72q^{94} - 12q^{98} + 72q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 + 0.866025i −0.353553 + 0.612372i
\(3\) −1.71076 + 0.270722i −0.987709 + 0.156301i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) 2.20332 + 1.27209i 0.985355 + 0.568895i 0.903883 0.427781i \(-0.140704\pi\)
0.0814725 + 0.996676i \(0.474038\pi\)
\(6\) 0.620929 1.61693i 0.253493 0.660107i
\(7\) 2.32714 + 1.25873i 0.879578 + 0.475755i
\(8\) 1.00000 0.353553
\(9\) 2.85342 0.926282i 0.951140 0.308761i
\(10\) −2.20332 + 1.27209i −0.696751 + 0.402270i
\(11\) −2.05512 3.55958i −0.619643 1.07325i −0.989551 0.144184i \(-0.953944\pi\)
0.369908 0.929068i \(-0.379389\pi\)
\(12\) 1.08983 + 1.34620i 0.314608 + 0.388615i
\(13\) 0.691594 3.53860i 0.191814 0.981431i
\(14\) −2.25366 + 1.38600i −0.602317 + 0.370425i
\(15\) −4.11374 1.57975i −1.06216 0.407891i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 2.85089 + 4.93789i 0.691443 + 1.19761i 0.971365 + 0.237591i \(0.0763579\pi\)
−0.279922 + 0.960023i \(0.590309\pi\)
\(18\) −0.624526 + 2.93427i −0.147202 + 0.691615i
\(19\) 4.22658 7.32066i 0.969645 1.67947i 0.273064 0.961996i \(-0.411963\pi\)
0.696581 0.717478i \(-0.254704\pi\)
\(20\) 2.54418i 0.568895i
\(21\) −4.32196 1.52338i −0.943129 0.332428i
\(22\) 4.11024 0.876307
\(23\) 1.13269 + 0.653959i 0.236182 + 0.136360i 0.613421 0.789756i \(-0.289793\pi\)
−0.377238 + 0.926116i \(0.623126\pi\)
\(24\) −1.71076 + 0.270722i −0.349208 + 0.0552609i
\(25\) 0.736416 + 1.27551i 0.147283 + 0.255102i
\(26\) 2.71872 + 2.36824i 0.533185 + 0.464450i
\(27\) −4.63076 + 2.35713i −0.891190 + 0.453630i
\(28\) −0.0734817 2.64473i −0.0138867 0.499807i
\(29\) 6.06189i 1.12566i 0.826571 + 0.562832i \(0.190288\pi\)
−0.826571 + 0.562832i \(0.809712\pi\)
\(30\) 3.42498 2.77273i 0.625313 0.506229i
\(31\) −0.00131550 0.00227852i −0.000236271 0.000409234i 0.865907 0.500205i \(-0.166742\pi\)
−0.866144 + 0.499795i \(0.833409\pi\)
\(32\) −0.500000 0.866025i −0.0883883 0.153093i
\(33\) 4.47948 + 5.53322i 0.779778 + 0.963211i
\(34\) −5.70178 −0.977848
\(35\) 3.52623 + 5.73372i 0.596042 + 0.969175i
\(36\) −2.22889 2.00799i −0.371482 0.334665i
\(37\) 6.13142 + 3.53998i 1.00800 + 0.581969i 0.910605 0.413277i \(-0.135616\pi\)
0.0973943 + 0.995246i \(0.468949\pi\)
\(38\) 4.22658 + 7.32066i 0.685642 + 1.18757i
\(39\) −0.225177 + 6.24094i −0.0360572 + 0.999350i
\(40\) 2.20332 + 1.27209i 0.348376 + 0.201135i
\(41\) 2.51379i 0.392588i 0.980545 + 0.196294i \(0.0628907\pi\)
−0.980545 + 0.196294i \(0.937109\pi\)
\(42\) 3.48026 2.98124i 0.537016 0.460015i
\(43\) 3.31665 0.505784 0.252892 0.967494i \(-0.418618\pi\)
0.252892 + 0.967494i \(0.418618\pi\)
\(44\) −2.05512 + 3.55958i −0.309821 + 0.536626i
\(45\) 7.46531 + 1.58890i 1.11286 + 0.236860i
\(46\) −1.13269 + 0.653959i −0.167006 + 0.0964211i
\(47\) 3.68624 + 2.12825i 0.537693 + 0.310437i 0.744143 0.668020i \(-0.232858\pi\)
−0.206451 + 0.978457i \(0.566191\pi\)
\(48\) 0.620929 1.61693i 0.0896234 0.233383i
\(49\) 3.83121 + 5.85849i 0.547315 + 0.836927i
\(50\) −1.47283 −0.208290
\(51\) −6.21399 7.67576i −0.870133 1.07482i
\(52\) −3.41032 + 1.17036i −0.472926 + 0.162300i
\(53\) −4.39543 + 2.53770i −0.603758 + 0.348580i −0.770519 0.637417i \(-0.780003\pi\)
0.166760 + 0.985997i \(0.446669\pi\)
\(54\) 0.274044 5.18892i 0.0372927 0.706123i
\(55\) 10.4572i 1.41005i
\(56\) 2.32714 + 1.25873i 0.310978 + 0.168205i
\(57\) −5.24882 + 13.6681i −0.695223 + 1.81039i
\(58\) −5.24975 3.03094i −0.689326 0.397982i
\(59\) 1.68327 0.971837i 0.219143 0.126522i −0.386410 0.922327i \(-0.626285\pi\)
0.605554 + 0.795805i \(0.292952\pi\)
\(60\) 0.688764 + 4.35248i 0.0889191 + 0.561903i
\(61\) −3.15576 1.82198i −0.404054 0.233281i 0.284178 0.958772i \(-0.408279\pi\)
−0.688232 + 0.725491i \(0.741613\pi\)
\(62\) 0.00263100 0.000334138
\(63\) 7.80626 + 1.43609i 0.983496 + 0.180930i
\(64\) 1.00000 0.125000
\(65\) 6.02522 6.91691i 0.747336 0.857937i
\(66\) −7.03165 + 1.11273i −0.865537 + 0.136968i
\(67\) −2.80901 + 1.62178i −0.343175 + 0.198132i −0.661675 0.749791i \(-0.730154\pi\)
0.318500 + 0.947923i \(0.396821\pi\)
\(68\) 2.85089 4.93789i 0.345721 0.598807i
\(69\) −2.11481 0.812125i −0.254593 0.0977684i
\(70\) −6.72866 + 0.186950i −0.804229 + 0.0223448i
\(71\) −6.68865 −0.793797 −0.396899 0.917862i \(-0.629914\pi\)
−0.396899 + 0.917862i \(0.629914\pi\)
\(72\) 2.85342 0.926282i 0.336279 0.109163i
\(73\) −1.31969 2.28578i −0.154458 0.267530i 0.778403 0.627765i \(-0.216030\pi\)
−0.932862 + 0.360235i \(0.882697\pi\)
\(74\) −6.13142 + 3.53998i −0.712763 + 0.411514i
\(75\) −1.60514 1.98273i −0.185346 0.228946i
\(76\) −8.45317 −0.969645
\(77\) −0.302028 10.8705i −0.0344192 1.23881i
\(78\) −5.29222 3.31548i −0.599226 0.375404i
\(79\) −7.07859 + 12.2605i −0.796404 + 1.37941i 0.125540 + 0.992088i \(0.459934\pi\)
−0.921944 + 0.387323i \(0.873400\pi\)
\(80\) −2.20332 + 1.27209i −0.246339 + 0.142224i
\(81\) 7.28400 5.28614i 0.809334 0.587349i
\(82\) −2.17701 1.25689i −0.240410 0.138801i
\(83\) 11.1300i 1.22168i −0.791755 0.610839i \(-0.790832\pi\)
0.791755 0.610839i \(-0.209168\pi\)
\(84\) 0.841696 + 4.50461i 0.0918366 + 0.491494i
\(85\) 14.5063i 1.57343i
\(86\) −1.65832 + 2.87230i −0.178822 + 0.309728i
\(87\) −1.64109 10.3705i −0.175943 1.11183i
\(88\) −2.05512 3.55958i −0.219077 0.379452i
\(89\) 3.31853 + 1.91595i 0.351763 + 0.203091i 0.665462 0.746432i \(-0.268235\pi\)
−0.313698 + 0.949523i \(0.601568\pi\)
\(90\) −5.10869 + 5.67070i −0.538503 + 0.597744i
\(91\) 6.06358 7.36431i 0.635636 0.771989i
\(92\) 1.30792i 0.136360i
\(93\) 0.00286736 + 0.00354187i 0.000297331 + 0.000367274i
\(94\) −3.68624 + 2.12825i −0.380206 + 0.219512i
\(95\) 18.6250 10.7532i 1.91089 1.10325i
\(96\) 1.08983 + 1.34620i 0.111231 + 0.137396i
\(97\) 3.91287 0.397292 0.198646 0.980071i \(-0.436346\pi\)
0.198646 + 0.980071i \(0.436346\pi\)
\(98\) −6.98920 + 0.388679i −0.706016 + 0.0392625i
\(99\) −9.16129 8.25334i −0.920745 0.829492i
\(100\) 0.736416 1.27551i 0.0736416 0.127551i
\(101\) −7.74790 13.4198i −0.770945 1.33532i −0.937045 0.349208i \(-0.886451\pi\)
0.166100 0.986109i \(-0.446883\pi\)
\(102\) 9.75440 1.54360i 0.965829 0.152839i
\(103\) −11.5111 6.64596i −1.13423 0.654846i −0.189231 0.981933i \(-0.560600\pi\)
−0.944994 + 0.327087i \(0.893933\pi\)
\(104\) 0.691594 3.53860i 0.0678164 0.346988i
\(105\) −7.58479 8.85440i −0.740200 0.864101i
\(106\) 5.07540i 0.492967i
\(107\) 12.3570 + 7.13432i 1.19460 + 0.689701i 0.959346 0.282234i \(-0.0910754\pi\)
0.235251 + 0.971935i \(0.424409\pi\)
\(108\) 4.35672 + 2.83179i 0.419225 + 0.272489i
\(109\) 9.22052 5.32347i 0.883166 0.509896i 0.0114648 0.999934i \(-0.496351\pi\)
0.871701 + 0.490038i \(0.163017\pi\)
\(110\) 9.05619 + 5.22859i 0.863474 + 0.498527i
\(111\) −11.4478 4.39615i −1.08657 0.417264i
\(112\) −2.25366 + 1.38600i −0.212951 + 0.130965i
\(113\) 0.854272i 0.0803632i 0.999192 + 0.0401816i \(0.0127936\pi\)
−0.999192 + 0.0401816i \(0.987206\pi\)
\(114\) −9.21254 11.3797i −0.862834 1.06580i
\(115\) 1.66379 + 2.88177i 0.155149 + 0.268726i
\(116\) 5.24975 3.03094i 0.487427 0.281416i
\(117\) −1.30433 10.7377i −0.120586 0.992703i
\(118\) 1.94367i 0.178930i
\(119\) 0.418977 + 15.0797i 0.0384075 + 1.38235i
\(120\) −4.11374 1.57975i −0.375532 0.144211i
\(121\) −2.94705 + 5.10444i −0.267914 + 0.464040i
\(122\) 3.15576 1.82198i 0.285709 0.164954i
\(123\) −0.680538 4.30050i −0.0613620 0.387763i
\(124\) −0.00131550 + 0.00227852i −0.000118136 + 0.000204617i
\(125\) 8.97374i 0.802635i
\(126\) −5.14682 + 6.04237i −0.458515 + 0.538297i
\(127\) −12.0715 −1.07117 −0.535584 0.844482i \(-0.679908\pi\)
−0.535584 + 0.844482i \(0.679908\pi\)
\(128\) −0.500000 + 0.866025i −0.0441942 + 0.0765466i
\(129\) −5.67400 + 0.897889i −0.499568 + 0.0790547i
\(130\) 2.97761 + 8.67644i 0.261154 + 0.760974i
\(131\) −8.61673 + 14.9246i −0.752847 + 1.30397i 0.193591 + 0.981082i \(0.437987\pi\)
−0.946438 + 0.322887i \(0.895347\pi\)
\(132\) 2.55217 6.64596i 0.222138 0.578456i
\(133\) 19.0506 11.7161i 1.65190 1.01592i
\(134\) 3.24356i 0.280201i
\(135\) −13.2015 0.697216i −1.13621 0.0600068i
\(136\) 2.85089 + 4.93789i 0.244462 + 0.423421i
\(137\) 6.52427 + 11.3004i 0.557406 + 0.965456i 0.997712 + 0.0676081i \(0.0215367\pi\)
−0.440306 + 0.897848i \(0.645130\pi\)
\(138\) 1.76072 1.42541i 0.149883 0.121339i
\(139\) 0.623348i 0.0528717i −0.999651 0.0264359i \(-0.991584\pi\)
0.999651 0.0264359i \(-0.00841577\pi\)
\(140\) 3.20243 5.92067i 0.270654 0.500388i
\(141\) −6.88244 2.64299i −0.579606 0.222580i
\(142\) 3.34433 5.79254i 0.280650 0.486099i
\(143\) −14.0172 + 4.81047i −1.17218 + 0.402272i
\(144\) −0.624526 + 2.93427i −0.0520438 + 0.244523i
\(145\) −7.71125 + 13.3563i −0.640385 + 1.10918i
\(146\) 2.63939 0.218437
\(147\) −8.14031 8.98529i −0.671401 0.741094i
\(148\) 7.07996i 0.581969i
\(149\) 0.986187 1.70813i 0.0807916 0.139935i −0.822799 0.568333i \(-0.807589\pi\)
0.903590 + 0.428398i \(0.140922\pi\)
\(150\) 2.51967 0.398728i 0.205730 0.0325560i
\(151\) 8.14145 4.70047i 0.662542 0.382519i −0.130703 0.991422i \(-0.541723\pi\)
0.793245 + 0.608903i \(0.208390\pi\)
\(152\) 4.22658 7.32066i 0.342821 0.593784i
\(153\) 12.7087 + 11.4491i 1.02743 + 0.925608i
\(154\) 9.56513 + 5.17368i 0.770780 + 0.416907i
\(155\) 0.00669374i 0.000537654i
\(156\) 5.51740 2.92546i 0.441745 0.234224i
\(157\) 6.32327 3.65074i 0.504652 0.291361i −0.225980 0.974132i \(-0.572559\pi\)
0.730633 + 0.682771i \(0.239225\pi\)
\(158\) −7.07859 12.2605i −0.563142 0.975391i
\(159\) 6.83252 5.53134i 0.541854 0.438664i
\(160\) 2.54418i 0.201135i
\(161\) 1.81278 + 2.94761i 0.142867 + 0.232304i
\(162\) 0.935930 + 8.95120i 0.0735336 + 0.703273i
\(163\) 13.1037 + 7.56540i 1.02636 + 0.592568i 0.915939 0.401317i \(-0.131448\pi\)
0.110418 + 0.993885i \(0.464781\pi\)
\(164\) 2.17701 1.25689i 0.169996 0.0981470i
\(165\) 2.83099 + 17.8898i 0.220392 + 1.39272i
\(166\) 9.63888 + 5.56501i 0.748122 + 0.431929i
\(167\) 24.2735i 1.87834i −0.343458 0.939168i \(-0.611598\pi\)
0.343458 0.939168i \(-0.388402\pi\)
\(168\) −4.32196 1.52338i −0.333446 0.117531i
\(169\) −12.0434 4.89455i −0.926415 0.376504i
\(170\) −12.5629 7.25317i −0.963527 0.556293i
\(171\) 5.27922 24.8039i 0.403712 1.89680i
\(172\) −1.65832 2.87230i −0.126446 0.219011i
\(173\) −0.204681 + 0.354517i −0.0155616 + 0.0269535i −0.873701 0.486463i \(-0.838287\pi\)
0.858140 + 0.513416i \(0.171620\pi\)
\(174\) 9.80162 + 3.76400i 0.743059 + 0.285348i
\(175\) 0.108226 + 3.89524i 0.00818113 + 0.294453i
\(176\) 4.11024 0.309821
\(177\) −2.61658 + 2.11828i −0.196674 + 0.159220i
\(178\) −3.31853 + 1.91595i −0.248734 + 0.143607i
\(179\) −20.4933 + 11.8318i −1.53174 + 0.884352i −0.532460 + 0.846455i \(0.678732\pi\)
−0.999282 + 0.0378964i \(0.987934\pi\)
\(180\) −2.35662 7.25960i −0.175652 0.541099i
\(181\) 14.2247i 1.05732i 0.848835 + 0.528658i \(0.177304\pi\)
−0.848835 + 0.528658i \(0.822696\pi\)
\(182\) 3.34589 + 8.93337i 0.248014 + 0.662185i
\(183\) 5.89201 + 2.26264i 0.435550 + 0.167259i
\(184\) 1.13269 + 0.653959i 0.0835031 + 0.0482105i
\(185\) 9.00633 + 15.5994i 0.662158 + 1.14689i
\(186\) −0.00450102 0.000712270i −0.000330031 5.22262e-5i
\(187\) 11.7179 20.2959i 0.856895 1.48419i
\(188\) 4.25650i 0.310437i
\(189\) −13.7434 0.343482i −0.999688 0.0249846i
\(190\) 21.5063i 1.56023i
\(191\) −13.8603 8.00228i −1.00290 0.579024i −0.0937947 0.995592i \(-0.529900\pi\)
−0.909105 + 0.416567i \(0.863233\pi\)
\(192\) −1.71076 + 0.270722i −0.123464 + 0.0195377i
\(193\) −14.6848 + 8.47830i −1.05704 + 0.610281i −0.924611 0.380912i \(-0.875610\pi\)
−0.132427 + 0.991193i \(0.542277\pi\)
\(194\) −1.95644 + 3.38865i −0.140464 + 0.243291i
\(195\) −8.43516 + 13.4643i −0.604054 + 0.964202i
\(196\) 3.15799 6.24716i 0.225571 0.446226i
\(197\) −2.56563 −0.182794 −0.0913969 0.995815i \(-0.529133\pi\)
−0.0913969 + 0.995815i \(0.529133\pi\)
\(198\) 11.7282 3.80724i 0.833490 0.270569i
\(199\) 18.7467 10.8234i 1.32892 0.767249i 0.343783 0.939049i \(-0.388292\pi\)
0.985132 + 0.171800i \(0.0549582\pi\)
\(200\) 0.736416 + 1.27551i 0.0520725 + 0.0901922i
\(201\) 4.36649 3.53494i 0.307988 0.249335i
\(202\) 15.4958 1.09028
\(203\) −7.63027 + 14.1069i −0.535540 + 0.990110i
\(204\) −3.54041 + 9.21936i −0.247878 + 0.645484i
\(205\) −3.19776 + 5.53868i −0.223341 + 0.386839i
\(206\) 11.5111 6.64596i 0.802019 0.463046i
\(207\) 3.83779 + 0.816830i 0.266745 + 0.0567736i
\(208\) 2.71872 + 2.36824i 0.188509 + 0.164208i
\(209\) −34.7446 −2.40333
\(210\) 11.4605 2.14142i 0.790852 0.147772i
\(211\) −7.00715 −0.482392 −0.241196 0.970476i \(-0.577540\pi\)
−0.241196 + 0.970476i \(0.577540\pi\)
\(212\) 4.39543 + 2.53770i 0.301879 + 0.174290i
\(213\) 11.4427 1.81076i 0.784041 0.124072i
\(214\) −12.3570 + 7.13432i −0.844707 + 0.487692i
\(215\) 7.30764 + 4.21907i 0.498377 + 0.287738i
\(216\) −4.63076 + 2.35713i −0.315083 + 0.160382i
\(217\) −0.000193331 0.00695830i −1.31241e−5 0.000472360i
\(218\) 10.6469i 0.721102i
\(219\) 2.87649 + 3.55315i 0.194375 + 0.240100i
\(220\) −9.05619 + 5.22859i −0.610568 + 0.352512i
\(221\) 19.4449 6.67315i 1.30800 0.448885i
\(222\) 9.53106 7.71597i 0.639683 0.517862i
\(223\) −21.1582 −1.41686 −0.708429 0.705782i \(-0.750596\pi\)
−0.708429 + 0.705782i \(0.750596\pi\)
\(224\) −0.0734817 2.64473i −0.00490970 0.176709i
\(225\) 3.28279 + 2.95744i 0.218852 + 0.197162i
\(226\) −0.739822 0.427136i −0.0492122 0.0284127i
\(227\) −11.6624 + 6.73328i −0.774059 + 0.446903i −0.834321 0.551279i \(-0.814140\pi\)
0.0602614 + 0.998183i \(0.480807\pi\)
\(228\) 14.4614 2.28846i 0.957727 0.151557i
\(229\) −1.12680 + 1.95167i −0.0744607 + 0.128970i −0.900852 0.434127i \(-0.857057\pi\)
0.826391 + 0.563097i \(0.190390\pi\)
\(230\) −3.32758 −0.219414
\(231\) 3.45958 + 18.5151i 0.227623 + 1.21820i
\(232\) 6.06189i 0.397982i
\(233\) 1.12902 + 0.651840i 0.0739645 + 0.0427034i 0.536526 0.843884i \(-0.319736\pi\)
−0.462562 + 0.886587i \(0.653070\pi\)
\(234\) 9.95131 + 4.23928i 0.650537 + 0.277130i
\(235\) 5.41464 + 9.37843i 0.353212 + 0.611782i
\(236\) −1.68327 0.971837i −0.109572 0.0632612i
\(237\) 8.79061 22.8911i 0.571012 1.48694i
\(238\) −13.2689 7.17700i −0.860093 0.465216i
\(239\) −3.50122 −0.226475 −0.113238 0.993568i \(-0.536122\pi\)
−0.113238 + 0.993568i \(0.536122\pi\)
\(240\) 3.42498 2.77273i 0.221081 0.178979i
\(241\) −6.59729 11.4268i −0.424969 0.736067i 0.571449 0.820638i \(-0.306382\pi\)
−0.996418 + 0.0845704i \(0.973048\pi\)
\(242\) −2.94705 5.10444i −0.189444 0.328126i
\(243\) −11.0301 + 11.0153i −0.707583 + 0.706630i
\(244\) 3.64396i 0.233281i
\(245\) 0.988867 + 17.7818i 0.0631764 + 1.13603i
\(246\) 4.06461 + 1.56089i 0.259150 + 0.0995184i
\(247\) −22.9818 20.0191i −1.46230 1.27379i
\(248\) −0.00131550 0.00227852i −8.35345e−5 0.000144686i
\(249\) 3.01314 + 19.0408i 0.190950 + 1.20666i
\(250\) 7.77148 + 4.48687i 0.491512 + 0.283774i
\(251\) 28.4357 1.79485 0.897424 0.441169i \(-0.145436\pi\)
0.897424 + 0.441169i \(0.145436\pi\)
\(252\) −2.65944 7.47846i −0.167529 0.471099i
\(253\) 5.37586i 0.337978i
\(254\) 6.03573 10.4542i 0.378715 0.655954i
\(255\) −3.92718 24.8169i −0.245930 1.55410i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 9.54939 16.5400i 0.595675 1.03174i −0.397776 0.917482i \(-0.630218\pi\)
0.993451 0.114257i \(-0.0364486\pi\)
\(258\) 2.05940 5.36277i 0.128213 0.333872i
\(259\) 9.81284 + 15.9558i 0.609740 + 0.991448i
\(260\) −9.00282 1.75954i −0.558331 0.109122i
\(261\) 5.61502 + 17.2971i 0.347561 + 1.07066i
\(262\) −8.61673 14.9246i −0.532343 0.922045i
\(263\) −4.49853 + 2.59723i −0.277391 + 0.160152i −0.632242 0.774771i \(-0.717865\pi\)
0.354851 + 0.934923i \(0.384532\pi\)
\(264\) 4.47948 + 5.53322i 0.275693 + 0.340546i
\(265\) −12.9127 −0.793222
\(266\) 0.621153 + 22.3564i 0.0380853 + 1.37076i
\(267\) −6.19590 2.37934i −0.379183 0.145613i
\(268\) 2.80901 + 1.62178i 0.171587 + 0.0990660i
\(269\) −3.10207 5.37294i −0.189136 0.327594i 0.755826 0.654772i \(-0.227235\pi\)
−0.944963 + 0.327179i \(0.893902\pi\)
\(270\) 7.20457 11.0843i 0.438456 0.674566i
\(271\) −12.8489 + 22.2550i −0.780518 + 1.35190i 0.151123 + 0.988515i \(0.451711\pi\)
−0.931640 + 0.363382i \(0.881622\pi\)
\(272\) −5.70178 −0.345721
\(273\) −8.37966 + 14.2401i −0.507160 + 0.861852i
\(274\) −13.0485 −0.788292
\(275\) 3.02685 5.24266i 0.182526 0.316144i
\(276\) 0.354082 + 2.23754i 0.0213132 + 0.134684i
\(277\) −12.1581 21.0584i −0.730507 1.26528i −0.956667 0.291186i \(-0.905950\pi\)
0.226159 0.974090i \(-0.427383\pi\)
\(278\) 0.539835 + 0.311674i 0.0323772 + 0.0186930i
\(279\) −0.00586423 0.00528304i −0.000351082 0.000316287i
\(280\) 3.52623 + 5.73372i 0.210733 + 0.342655i
\(281\) −22.7215 −1.35545 −0.677724 0.735316i \(-0.737034\pi\)
−0.677724 + 0.735316i \(0.737034\pi\)
\(282\) 5.73011 4.63887i 0.341223 0.276241i
\(283\) 16.6217 9.59655i 0.988059 0.570456i 0.0833652 0.996519i \(-0.473433\pi\)
0.904693 + 0.426063i \(0.140100\pi\)
\(284\) 3.34433 + 5.79254i 0.198449 + 0.343724i
\(285\) −28.9519 + 23.4383i −1.71496 + 1.38837i
\(286\) 2.84262 14.5445i 0.168088 0.860035i
\(287\) −3.16418 + 5.84995i −0.186775 + 0.345312i
\(288\) −2.22889 2.00799i −0.131339 0.118322i
\(289\) −7.75517 + 13.4323i −0.456186 + 0.790138i
\(290\) −7.71125 13.3563i −0.452820 0.784308i
\(291\) −6.69399 + 1.05930i −0.392409 + 0.0620972i
\(292\) −1.31969 + 2.28578i −0.0772292 + 0.133765i
\(293\) 11.7362i 0.685634i −0.939402 0.342817i \(-0.888619\pi\)
0.939402 0.342817i \(-0.111381\pi\)
\(294\) 11.8516 2.55707i 0.691202 0.149131i
\(295\) 4.94505 0.287912
\(296\) 6.13142 + 3.53998i 0.356382 + 0.205757i
\(297\) 17.9072 + 11.6393i 1.03908 + 0.675383i
\(298\) 0.986187 + 1.70813i 0.0571283 + 0.0989491i
\(299\) 3.09746 3.55587i 0.179131 0.205641i
\(300\) −0.914525 + 2.38146i −0.0528001 + 0.137494i
\(301\) 7.71832 + 4.17476i 0.444877 + 0.240629i
\(302\) 9.40094i 0.540963i
\(303\) 16.8879 + 20.8605i 0.970182 + 1.19840i
\(304\) 4.22658 + 7.32066i 0.242411 + 0.419869i
\(305\) −4.63544 8.02882i −0.265425 0.459729i
\(306\) −16.2696 + 5.28146i −0.930070 + 0.301921i
\(307\) 27.2408 1.55471 0.777357 0.629060i \(-0.216560\pi\)
0.777357 + 0.629060i \(0.216560\pi\)
\(308\) −9.26310 + 5.69681i −0.527814 + 0.324606i
\(309\) 21.4920 + 8.25334i 1.22264 + 0.469516i
\(310\) 0.00579695 + 0.00334687i 0.000329245 + 0.000190089i
\(311\) −1.45991 2.52863i −0.0827837 0.143386i 0.821661 0.569977i \(-0.193048\pi\)
−0.904445 + 0.426591i \(0.859714\pi\)
\(312\) −0.225177 + 6.24094i −0.0127481 + 0.353323i
\(313\) 5.81374 + 3.35656i 0.328612 + 0.189724i 0.655225 0.755434i \(-0.272574\pi\)
−0.326613 + 0.945158i \(0.605907\pi\)
\(314\) 7.30149i 0.412047i
\(315\) 15.3729 + 13.0944i 0.866163 + 0.737786i
\(316\) 14.1572 0.796404
\(317\) 7.72251 13.3758i 0.433740 0.751259i −0.563452 0.826149i \(-0.690527\pi\)
0.997192 + 0.0748897i \(0.0238605\pi\)
\(318\) 1.37402 + 8.68281i 0.0770514 + 0.486908i
\(319\) 21.5777 12.4579i 1.20812 0.697509i
\(320\) 2.20332 + 1.27209i 0.123169 + 0.0711119i
\(321\) −23.0713 8.85982i −1.28772 0.494507i
\(322\) −3.45909 + 0.0961081i −0.192768 + 0.00535589i
\(323\) 48.1981 2.68182
\(324\) −8.21993 3.66506i −0.456663 0.203615i
\(325\) 5.02282 1.72375i 0.278616 0.0956163i
\(326\) −13.1037 + 7.56540i −0.725744 + 0.419009i
\(327\) −14.3329 + 11.6034i −0.792614 + 0.641669i
\(328\) 2.51379i 0.138801i
\(329\) 5.89952 + 9.59271i 0.325251 + 0.528863i
\(330\) −16.9085 6.49317i −0.930781 0.357437i
\(331\) −4.14357 2.39229i −0.227751 0.131492i 0.381783 0.924252i \(-0.375310\pi\)
−0.609534 + 0.792760i \(0.708643\pi\)
\(332\) −9.63888 + 5.56501i −0.529002 + 0.305420i
\(333\) 20.7745 + 4.42162i 1.13844 + 0.242303i
\(334\) 21.0214 + 12.1367i 1.15024 + 0.664092i
\(335\) −8.25219 −0.450865
\(336\) 3.48026 2.98124i 0.189864 0.162640i
\(337\) 26.6494 1.45169 0.725843 0.687860i \(-0.241450\pi\)
0.725843 + 0.687860i \(0.241450\pi\)
\(338\) 10.2605 7.98261i 0.558098 0.434197i
\(339\) −0.231270 1.46146i −0.0125609 0.0793755i
\(340\) 12.5629 7.25317i 0.681317 0.393358i
\(341\) −0.00540703 + 0.00936526i −0.000292807 + 0.000507157i
\(342\) 18.8412 + 16.9739i 1.01882 + 0.917843i
\(343\) 1.54153 + 18.4560i 0.0832347 + 0.996530i
\(344\) 3.31665 0.178822
\(345\) −3.62650 4.47959i −0.195244 0.241173i
\(346\) −0.204681 0.354517i −0.0110037 0.0190590i
\(347\) 5.45892 3.15171i 0.293050 0.169193i −0.346266 0.938136i \(-0.612551\pi\)
0.639317 + 0.768944i \(0.279217\pi\)
\(348\) −8.16053 + 6.60645i −0.437450 + 0.354143i
\(349\) −9.52826 −0.510036 −0.255018 0.966936i \(-0.582081\pi\)
−0.255018 + 0.966936i \(0.582081\pi\)
\(350\) −3.42749 1.85390i −0.183207 0.0990949i
\(351\) 5.13834 + 18.0166i 0.274264 + 0.961654i
\(352\) −2.05512 + 3.55958i −0.109538 + 0.189726i
\(353\) 14.3774 8.30082i 0.765234 0.441808i −0.0659376 0.997824i \(-0.521004\pi\)
0.831172 + 0.556016i \(0.187671\pi\)
\(354\) −0.526195 3.32517i −0.0279670 0.176731i
\(355\) −14.7373 8.50856i −0.782172 0.451587i
\(356\) 3.83190i 0.203091i
\(357\) −4.79917 25.6843i −0.253999 1.35936i
\(358\) 23.6636i 1.25066i
\(359\) 8.18866 14.1832i 0.432181 0.748559i −0.564880 0.825173i \(-0.691078\pi\)
0.997061 + 0.0766138i \(0.0244109\pi\)
\(360\) 7.46531 + 1.58890i 0.393456 + 0.0837426i
\(361\) −26.2280 45.4283i −1.38042 2.39096i
\(362\) −12.3190 7.11236i −0.647471 0.373817i
\(363\) 3.65982 9.53032i 0.192091 0.500212i
\(364\) −9.40947 1.56906i −0.493190 0.0822410i
\(365\) 6.71506i 0.351482i
\(366\) −4.90551 + 3.97131i −0.256415 + 0.207584i
\(367\) −26.9853 + 15.5800i −1.40862 + 0.813269i −0.995256 0.0972954i \(-0.968981\pi\)
−0.413368 + 0.910564i \(0.635648\pi\)
\(368\) −1.13269 + 0.653959i −0.0590456 + 0.0340900i
\(369\) 2.32848 + 7.17289i 0.121216 + 0.373406i
\(370\) −18.0127 −0.936434
\(371\) −13.4231 + 0.372949i −0.696891 + 0.0193626i
\(372\) 0.00163367 0.00425414i 8.47018e−5 0.000220567i
\(373\) −11.8848 + 20.5851i −0.615372 + 1.06585i 0.374948 + 0.927046i \(0.377661\pi\)
−0.990319 + 0.138809i \(0.955673\pi\)
\(374\) 11.7179 + 20.2959i 0.605916 + 1.04948i
\(375\) 2.42939 + 15.3519i 0.125453 + 0.792771i
\(376\) 3.68624 + 2.12825i 0.190103 + 0.109756i
\(377\) 21.4506 + 4.19237i 1.10476 + 0.215918i
\(378\) 7.16918 11.7304i 0.368743 0.603348i
\(379\) 5.87885i 0.301976i 0.988536 + 0.150988i \(0.0482455\pi\)
−0.988536 + 0.150988i \(0.951755\pi\)
\(380\) −18.6250 10.7532i −0.955445 0.551626i
\(381\) 20.6514 3.26801i 1.05800 0.167425i
\(382\) 13.8603 8.00228i 0.709157 0.409432i
\(383\) 12.8839 + 7.43851i 0.658336 + 0.380090i 0.791643 0.610985i \(-0.209226\pi\)
−0.133307 + 0.991075i \(0.542560\pi\)
\(384\) 0.620929 1.61693i 0.0316867 0.0825134i
\(385\) 13.1628 24.3354i 0.670836 1.24025i
\(386\) 16.9566i 0.863068i
\(387\) 9.46379 3.07215i 0.481071 0.156166i
\(388\) −1.95644 3.38865i −0.0993229 0.172032i
\(389\) −26.8563 + 15.5055i −1.36167 + 0.786158i −0.989846 0.142146i \(-0.954600\pi\)
−0.371821 + 0.928305i \(0.621266\pi\)
\(390\) −7.44288 14.0372i −0.376885 0.710803i
\(391\) 7.45747i 0.377140i
\(392\) 3.83121 + 5.85849i 0.193505 + 0.295898i
\(393\) 10.7008 27.8652i 0.539782 1.40561i
\(394\) 1.28282 2.22190i 0.0646273 0.111938i
\(395\) −31.1928 + 18.0092i −1.56948 + 0.906140i
\(396\) −2.56695 + 12.0606i −0.128994 + 0.606067i
\(397\) 7.10552 12.3071i 0.356616 0.617677i −0.630777 0.775964i \(-0.717264\pi\)
0.987393 + 0.158287i \(0.0505972\pi\)
\(398\) 21.6468i 1.08505i
\(399\) −29.4192 + 25.2009i −1.47280 + 1.26162i
\(400\) −1.47283 −0.0736416
\(401\) −19.1854 + 33.2301i −0.958073 + 1.65943i −0.230899 + 0.972978i \(0.574167\pi\)
−0.727174 + 0.686453i \(0.759167\pi\)
\(402\) 0.878102 + 5.54896i 0.0437958 + 0.276757i
\(403\) −0.00897256 + 0.00307923i −0.000446955 + 0.000153387i
\(404\) −7.74790 + 13.4198i −0.385473 + 0.667658i
\(405\) 22.7734 2.38117i 1.13162 0.118321i
\(406\) −8.40179 13.6615i −0.416974 0.678006i
\(407\) 29.1004i 1.44245i
\(408\) −6.21399 7.67576i −0.307639 0.380007i
\(409\) −2.09152 3.62262i −0.103419 0.179127i 0.809672 0.586882i \(-0.199645\pi\)
−0.913091 + 0.407755i \(0.866312\pi\)
\(410\) −3.19776 5.53868i −0.157926 0.273536i
\(411\) −14.2207 17.5660i −0.701457 0.866467i
\(412\) 13.2919i 0.654846i
\(413\) 5.14050 0.142824i 0.252947 0.00702793i
\(414\) −2.62629 + 2.91521i −0.129075 + 0.143275i
\(415\) 14.1584 24.5230i 0.695007 1.20379i
\(416\) −3.41032 + 1.17036i −0.167204 + 0.0573817i
\(417\) 0.168754 + 1.06640i 0.00826392 + 0.0522219i
\(418\) 17.3723 30.0897i 0.849706 1.47173i
\(419\) −24.4059 −1.19231 −0.596154 0.802870i \(-0.703305\pi\)
−0.596154 + 0.802870i \(0.703305\pi\)
\(420\) −3.87574 + 10.9958i −0.189117 + 0.536541i
\(421\) 7.06979i 0.344560i 0.985048 + 0.172280i \(0.0551135\pi\)
−0.985048 + 0.172280i \(0.944887\pi\)
\(422\) 3.50357 6.06837i 0.170551 0.295404i
\(423\) 12.4897 + 2.65829i 0.607272 + 0.129251i
\(424\) −4.39543 + 2.53770i −0.213461 + 0.123242i
\(425\) −4.19888 + 7.27268i −0.203676 + 0.352777i
\(426\) −4.15318 + 10.8151i −0.201222 + 0.523991i
\(427\) −5.05054 8.21226i −0.244413 0.397419i
\(428\) 14.2686i 0.689701i
\(429\) 22.6779 12.0244i 1.09490 0.580541i
\(430\) −7.30764 + 4.21907i −0.352406 + 0.203462i
\(431\) −1.83652 3.18094i −0.0884620 0.153221i 0.818399 0.574650i \(-0.194862\pi\)
−0.906861 + 0.421429i \(0.861529\pi\)
\(432\) 0.274044 5.18892i 0.0131849 0.249652i
\(433\) 30.9079i 1.48534i 0.669658 + 0.742669i \(0.266441\pi\)
−0.669658 + 0.742669i \(0.733559\pi\)
\(434\) 0.00612273 + 0.00331172i 0.000293900 + 0.000158968i
\(435\) 9.57629 24.9370i 0.459148 1.19564i
\(436\) −9.22052 5.32347i −0.441583 0.254948i
\(437\) 9.57483 5.52803i 0.458026 0.264441i
\(438\) −4.51536 + 0.714539i −0.215752 + 0.0341420i
\(439\) 31.8737 + 18.4023i 1.52125 + 0.878294i 0.999685 + 0.0250815i \(0.00798452\pi\)
0.521564 + 0.853212i \(0.325349\pi\)
\(440\) 10.4572i 0.498527i
\(441\) 16.3586 + 13.1679i 0.778983 + 0.627045i
\(442\) −3.94332 + 20.1763i −0.187565 + 0.959690i
\(443\) −31.8442 18.3852i −1.51296 0.873509i −0.999885 0.0151669i \(-0.995172\pi\)
−0.513077 0.858342i \(-0.671495\pi\)
\(444\) 1.91670 + 12.1121i 0.0909625 + 0.574816i
\(445\) 4.87452 + 8.44292i 0.231074 + 0.400233i
\(446\) 10.5791 18.3235i 0.500935 0.867645i
\(447\) −1.22470 + 3.18918i −0.0579265 + 0.150843i
\(448\) 2.32714 + 1.25873i 0.109947 + 0.0594693i
\(449\) 3.94653 0.186248 0.0931240 0.995655i \(-0.470315\pi\)
0.0931240 + 0.995655i \(0.470315\pi\)
\(450\) −4.20261 + 1.36426i −0.198113 + 0.0643117i
\(451\) 8.94802 5.16614i 0.421346 0.243264i
\(452\) 0.739822 0.427136i 0.0347983 0.0200908i
\(453\) −12.6556 + 10.2455i −0.594611 + 0.481374i
\(454\) 13.4666i 0.632017i
\(455\) 22.7281 8.51253i 1.06551 0.399074i
\(456\) −5.24882 + 13.6681i −0.245799 + 0.640069i
\(457\) 0.843279 + 0.486868i 0.0394469 + 0.0227747i 0.519594 0.854413i \(-0.326083\pi\)
−0.480147 + 0.877188i \(0.659417\pi\)
\(458\) −1.12680 1.95167i −0.0526517 0.0911954i
\(459\) −24.8410 16.1463i −1.15948 0.753642i
\(460\) 1.66379 2.88177i 0.0775745 0.134363i
\(461\) 10.2088i 0.475471i −0.971330 0.237736i \(-0.923595\pi\)
0.971330 0.237736i \(-0.0764052\pi\)
\(462\) −17.7643 6.26145i −0.826470 0.291309i
\(463\) 11.4435i 0.531824i 0.963997 + 0.265912i \(0.0856731\pi\)
−0.963997 + 0.265912i \(0.914327\pi\)
\(464\) −5.24975 3.03094i −0.243713 0.140708i
\(465\) 0.00181214 + 0.0114514i 8.40360e−5 + 0.000531046i
\(466\) −1.12902 + 0.651840i −0.0523008 + 0.0301959i
\(467\) 12.8601 22.2744i 0.595097 1.03074i −0.398437 0.917196i \(-0.630447\pi\)
0.993533 0.113542i \(-0.0362196\pi\)
\(468\) −8.64697 + 6.49845i −0.399707 + 0.300391i
\(469\) −8.57834 + 0.238342i −0.396111 + 0.0110056i
\(470\) −10.8293 −0.499518
\(471\) −9.82929 + 7.95741i −0.452910 + 0.366658i
\(472\) 1.68327 0.971837i 0.0774789 0.0447324i
\(473\) −6.81612 11.8059i −0.313405 0.542834i
\(474\) 15.4290 + 19.0584i 0.708676 + 0.875383i
\(475\) 12.4501 0.571250
\(476\) 12.8499 7.90269i 0.588974 0.362219i
\(477\) −10.1914 + 11.3125i −0.466631 + 0.517965i
\(478\) 1.75061 3.03215i 0.0800711 0.138687i
\(479\) −27.5828 + 15.9249i −1.26029 + 0.727629i −0.973131 0.230254i \(-0.926044\pi\)
−0.287160 + 0.957883i \(0.592711\pi\)
\(480\) 0.688764 + 4.35248i 0.0314376 + 0.198663i
\(481\) 16.7670 19.2484i 0.764511 0.877653i
\(482\) 13.1946 0.600996
\(483\) −3.89922 4.55190i −0.177420 0.207119i
\(484\) 5.89410 0.267914
\(485\) 8.62131 + 4.97752i 0.391474 + 0.226017i
\(486\) −4.02444 15.0600i −0.182552 0.683136i
\(487\) −17.8940 + 10.3311i −0.810854 + 0.468147i −0.847252 0.531190i \(-0.821745\pi\)
0.0363981 + 0.999337i \(0.488412\pi\)
\(488\) −3.15576 1.82198i −0.142855 0.0824772i
\(489\) −24.4654 9.39516i −1.10636 0.424864i
\(490\) −15.8939 8.03450i −0.718013 0.362962i
\(491\) 9.08674i 0.410079i −0.978754 0.205039i \(-0.934268\pi\)
0.978754 0.205039i \(-0.0657322\pi\)
\(492\) −3.38407 + 2.73961i −0.152566 + 0.123511i
\(493\) −29.9329 + 17.2818i −1.34811 + 0.778332i
\(494\) 28.8280 9.89327i 1.29703 0.445119i
\(495\) −9.68630 29.8387i −0.435367 1.34115i
\(496\) 0.00263100 0.000118136
\(497\) −15.5655 8.41920i −0.698207 0.377653i
\(498\) −17.9964 6.91096i −0.806438 0.309687i
\(499\) 14.4611 + 8.34913i 0.647368 + 0.373758i 0.787447 0.616382i \(-0.211402\pi\)
−0.140079 + 0.990140i \(0.544736\pi\)
\(500\) −7.77148 + 4.48687i −0.347551 + 0.200659i
\(501\) 6.57135 + 41.5261i 0.293586 + 1.85525i
\(502\) −14.2179 + 24.6261i −0.634575 + 1.09912i
\(503\) −29.9262 −1.33434 −0.667171 0.744904i \(-0.732495\pi\)
−0.667171 + 0.744904i \(0.732495\pi\)
\(504\) 7.80626 + 1.43609i 0.347718 + 0.0639684i
\(505\) 39.4241i 1.75435i
\(506\) 4.65564 + 2.68793i 0.206968 + 0.119493i
\(507\) 21.9285 + 5.11301i 0.973877 + 0.227077i
\(508\) 6.03573 + 10.4542i 0.267792 + 0.463829i
\(509\) −29.2792 16.9043i −1.29778 0.749272i −0.317757 0.948172i \(-0.602930\pi\)
−0.980020 + 0.198900i \(0.936263\pi\)
\(510\) 23.4557 + 9.00741i 1.03863 + 0.398855i
\(511\) −0.193947 6.98046i −0.00857969 0.308798i
\(512\) 1.00000 0.0441942
\(513\) −2.31654 + 43.8628i −0.102278 + 1.93659i
\(514\) 9.54939 + 16.5400i 0.421206 + 0.729550i
\(515\) −16.9085 29.2864i −0.745077 1.29051i
\(516\) 3.61459 + 4.46488i 0.159124 + 0.196556i
\(517\) 17.4952i 0.769440i
\(518\) −18.7246 + 0.520247i −0.822711 + 0.0228583i
\(519\) 0.254185 0.661907i 0.0111575 0.0290545i
\(520\) 6.02522 6.91691i 0.264223 0.303326i
\(521\) −12.3261 21.3495i −0.540017 0.935338i −0.998902 0.0468419i \(-0.985084\pi\)
0.458885 0.888496i \(-0.348249\pi\)
\(522\) −17.7872 3.78581i −0.778526 0.165700i
\(523\) −9.97765 5.76060i −0.436292 0.251893i 0.265732 0.964047i \(-0.414387\pi\)
−0.702024 + 0.712154i \(0.747720\pi\)
\(524\) 17.2335 0.752847
\(525\) −1.23968 6.63454i −0.0541039 0.289555i
\(526\) 5.19445i 0.226489i
\(527\) 0.00750071 0.0129916i 0.000326736 0.000565923i
\(528\) −7.03165 + 1.11273i −0.306013 + 0.0484255i
\(529\) −10.6447 18.4371i −0.462812 0.801614i
\(530\) 6.45636 11.1827i 0.280446 0.485747i
\(531\) 3.90288 4.33224i 0.169371 0.188003i
\(532\) −19.6717 10.6402i −0.852878 0.461313i
\(533\) 8.89530 + 1.73852i 0.385298 + 0.0753037i
\(534\) 5.15852 4.17614i 0.223231 0.180719i
\(535\) 18.1510 + 31.4384i 0.784735 + 1.35920i
\(536\) −2.80901 + 1.62178i −0.121331 + 0.0700502i
\(537\) 31.8561 25.7894i 1.37469 1.11290i
\(538\) 6.20413 0.267479
\(539\) 12.9801 25.6774i 0.559094 1.10600i
\(540\) 5.99696 + 11.7815i 0.258068 + 0.506994i
\(541\) 15.5915 + 9.00176i 0.670331 + 0.387016i 0.796202 0.605031i \(-0.206839\pi\)
−0.125871 + 0.992047i \(0.540173\pi\)
\(542\) −12.8489 22.2550i −0.551909 0.955935i
\(543\) −3.85094 24.3351i −0.165260 1.04432i
\(544\) 2.85089 4.93789i 0.122231 0.211710i
\(545\) 27.0877 1.16031
\(546\) −8.14248 14.3771i −0.348466 0.615282i
\(547\) −31.6765 −1.35439 −0.677194 0.735804i \(-0.736804\pi\)
−0.677194 + 0.735804i \(0.736804\pi\)
\(548\) 6.52427 11.3004i 0.278703 0.482728i
\(549\) −10.6924 2.27575i −0.456340 0.0971266i
\(550\) 3.02685 + 5.24266i 0.129065 + 0.223548i
\(551\) 44.3770 + 25.6211i 1.89052 + 1.09149i
\(552\) −2.11481 0.812125i −0.0900121 0.0345663i
\(553\) −31.9055 + 19.6219i −1.35676 + 0.834407i
\(554\) 24.3161 1.03309
\(555\) −19.6308 24.2487i −0.833281 1.02930i
\(556\) −0.539835 + 0.311674i −0.0228941 + 0.0132179i
\(557\) −14.7789 25.5978i −0.626201 1.08461i −0.988307 0.152475i \(-0.951276\pi\)
0.362106 0.932137i \(-0.382058\pi\)
\(558\) 0.00750736 0.00243705i 0.000317812 0.000103169i
\(559\) 2.29377 11.7363i 0.0970163 0.496392i
\(560\) −6.72866 + 0.186950i −0.284338 + 0.00790009i
\(561\) −14.5519 + 37.8938i −0.614383 + 1.59988i
\(562\) 11.3607 19.6774i 0.479224 0.830040i
\(563\) −11.5996 20.0912i −0.488866 0.846741i 0.511052 0.859550i \(-0.329256\pi\)
−0.999918 + 0.0128088i \(0.995923\pi\)
\(564\) 1.15233 + 7.28186i 0.0485217 + 0.306622i
\(565\) −1.08671 + 1.88224i −0.0457182 + 0.0791863i
\(566\) 19.1931i 0.806747i
\(567\) 23.6047 3.13303i 0.991306 0.131575i
\(568\) −6.68865 −0.280650
\(569\) 15.1314 + 8.73610i 0.634340 + 0.366236i 0.782431 0.622738i \(-0.213980\pi\)
−0.148091 + 0.988974i \(0.547313\pi\)
\(570\) −5.82224 36.7923i −0.243867 1.54106i
\(571\) 4.98953 + 8.64212i 0.208805 + 0.361662i 0.951339 0.308148i \(-0.0997091\pi\)
−0.742533 + 0.669809i \(0.766376\pi\)
\(572\) 11.1746 + 9.73404i 0.467234 + 0.407001i
\(573\) 25.8782 + 9.93770i 1.08108 + 0.415153i
\(574\) −3.48412 5.66523i −0.145424 0.236462i
\(575\) 1.92634i 0.0803341i
\(576\) 2.85342 0.926282i 0.118892 0.0385951i
\(577\) 8.91246 + 15.4368i 0.371031 + 0.642644i 0.989724 0.142988i \(-0.0456712\pi\)
−0.618694 + 0.785632i \(0.712338\pi\)
\(578\) −7.75517 13.4323i −0.322572 0.558712i
\(579\) 22.8270 18.4799i 0.948659 0.767997i
\(580\) 15.4225 0.640385
\(581\) 14.0097 25.9012i 0.581219 1.07456i
\(582\) 2.42962 6.32682i 0.100711 0.262255i
\(583\) 18.0663 + 10.4306i 0.748229 + 0.431990i
\(584\) −1.31969 2.28578i −0.0546093 0.0945860i
\(585\) 10.7855 25.3179i 0.445924 1.04677i
\(586\) 10.1638 + 5.86808i 0.419863 + 0.242408i
\(587\) 47.7903i 1.97252i 0.165206 + 0.986259i \(0.447171\pi\)
−0.165206 + 0.986259i \(0.552829\pi\)
\(588\) −3.71134 + 11.5424i −0.153053 + 0.475999i
\(589\) −0.0222403 −0.000916396
\(590\) −2.47253 + 4.28254i −0.101792 + 0.176309i
\(591\) 4.38919 0.694573i 0.180547 0.0285709i
\(592\) −6.13142 + 3.53998i −0.252000 + 0.145492i
\(593\) 8.78037 + 5.06935i 0.360566 + 0.208173i 0.669329 0.742966i \(-0.266582\pi\)
−0.308763 + 0.951139i \(0.599915\pi\)
\(594\) −19.0335 + 9.68838i −0.780956 + 0.397519i
\(595\) −18.2595 + 33.7584i −0.748568 + 1.38396i
\(596\) −1.97237 −0.0807916
\(597\) −29.1410 + 23.5914i −1.19266 + 0.965531i
\(598\) 1.53074 + 4.46042i 0.0625966 + 0.182400i
\(599\) −10.0365 + 5.79458i −0.410081 + 0.236760i −0.690824 0.723023i \(-0.742752\pi\)
0.280744 + 0.959783i \(0.409419\pi\)
\(600\) −1.60514 1.98273i −0.0655296 0.0809447i
\(601\) 4.44714i 0.181403i −0.995878 0.0907013i \(-0.971089\pi\)
0.995878 0.0907013i \(-0.0289109\pi\)
\(602\) −7.47461 + 4.59688i −0.304642 + 0.187355i
\(603\) −6.51304 + 7.22955i −0.265232 + 0.294410i
\(604\) −8.14145 4.70047i −0.331271 0.191259i
\(605\) −12.9866 + 7.49782i −0.527981 + 0.304830i
\(606\) −26.5097 + 4.19505i −1.07688 + 0.170412i
\(607\) 5.35667 + 3.09268i 0.217421 + 0.125528i 0.604755 0.796411i \(-0.293271\pi\)
−0.387335 + 0.921939i \(0.626604\pi\)
\(608\) −8.45317 −0.342821
\(609\) 9.23454 26.1992i 0.374202 1.06165i
\(610\) 9.27088 0.375367
\(611\) 10.0804 11.5722i 0.407810 0.468162i
\(612\) 3.56091 16.7306i 0.143941 0.676294i
\(613\) −19.9940 + 11.5435i −0.807549 + 0.466239i −0.846104 0.533018i \(-0.821058\pi\)
0.0385548 + 0.999256i \(0.487725\pi\)
\(614\) −13.6204 + 23.5912i −0.549674 + 0.952064i
\(615\) 3.97117 10.3411i 0.160133 0.416993i
\(616\) −0.302028 10.8705i −0.0121690 0.437984i
\(617\) 14.5000 0.583749 0.291874 0.956457i \(-0.405721\pi\)
0.291874 + 0.956457i \(0.405721\pi\)
\(618\) −17.8936 + 14.4860i −0.719787 + 0.582711i
\(619\) −11.4323 19.8013i −0.459503 0.795882i 0.539432 0.842029i \(-0.318639\pi\)
−0.998935 + 0.0461472i \(0.985306\pi\)
\(620\) −0.00579695 + 0.00334687i −0.000232811 + 0.000134414i
\(621\) −6.78669 0.358427i −0.272340 0.0143832i
\(622\) 2.91981 0.117074
\(623\) 5.31103 + 8.63582i 0.212782 + 0.345987i
\(624\) −5.29222 3.31548i −0.211858 0.132725i
\(625\) 15.0975 26.1496i 0.603899 1.04598i
\(626\) −5.81374 + 3.35656i −0.232364 + 0.134155i
\(627\) 59.4397 9.40612i 2.37379 0.375644i
\(628\) −6.32327 3.65074i −0.252326 0.145681i
\(629\) 40.3684i 1.60959i
\(630\) −19.0265 + 6.76608i −0.758035 + 0.269567i
\(631\) 10.1877i 0.405568i 0.979224 + 0.202784i \(0.0649989\pi\)
−0.979224 + 0.202784i \(0.935001\pi\)
\(632\) −7.07859 + 12.2605i −0.281571 + 0.487696i
\(633\) 11.9876 1.89699i 0.476463 0.0753985i
\(634\) 7.72251 + 13.3758i 0.306700 + 0.531220i
\(635\) −26.5973 15.3559i −1.05548 0.609382i
\(636\) −8.20655 3.15147i −0.325411 0.124964i
\(637\) 23.3805 9.50541i 0.926369 0.376618i
\(638\) 24.9158i 0.986427i
\(639\) −19.0855 + 6.19558i −0.755012 + 0.245093i
\(640\) −2.20332 + 1.27209i −0.0870939 + 0.0502837i
\(641\) −24.5592 + 14.1793i −0.970030 + 0.560047i −0.899245 0.437445i \(-0.855884\pi\)
−0.0707844 + 0.997492i \(0.522550\pi\)
\(642\) 19.2085 15.5504i 0.758099 0.613727i
\(643\) 7.46124 0.294243 0.147121 0.989118i \(-0.452999\pi\)
0.147121 + 0.989118i \(0.452999\pi\)
\(644\) 1.64631 3.04372i 0.0648739 0.119939i
\(645\) −13.6438 5.23949i −0.537226 0.206305i
\(646\) −24.0991 + 41.7408i −0.948165 + 1.64227i
\(647\) 12.5324 + 21.7068i 0.492701 + 0.853382i 0.999965 0.00840826i \(-0.00267646\pi\)
−0.507264 + 0.861791i \(0.669343\pi\)
\(648\) 7.28400 5.28614i 0.286143 0.207659i
\(649\) −6.91866 3.99449i −0.271581 0.156797i
\(650\) −1.01860 + 5.21177i −0.0399529 + 0.204422i
\(651\) 0.00221451 + 0.0118517i 8.67933e−5 + 0.000464503i
\(652\) 15.1308i 0.592568i
\(653\) 9.06026 + 5.23094i 0.354555 + 0.204703i 0.666690 0.745335i \(-0.267711\pi\)
−0.312134 + 0.950038i \(0.601044\pi\)
\(654\) −2.88236 18.2144i −0.112709 0.712239i
\(655\) −37.9708 + 21.9225i −1.48364 + 0.856582i
\(656\) −2.17701 1.25689i −0.0849978 0.0490735i
\(657\) −5.88291 5.29987i −0.229514 0.206768i
\(658\) −11.2573 + 0.312775i −0.438855 + 0.0121932i
\(659\) 24.8852i 0.969389i 0.874684 + 0.484694i \(0.161069\pi\)
−0.874684 + 0.484694i \(0.838931\pi\)
\(660\) 14.0775 11.3966i 0.547966 0.443612i
\(661\) −24.9458 43.2074i −0.970280 1.68057i −0.694706 0.719294i \(-0.744465\pi\)
−0.275574 0.961280i \(-0.588868\pi\)
\(662\) 4.14357 2.39229i 0.161044 0.0929790i
\(663\) −31.4590 + 16.6803i −1.22177 + 0.647811i
\(664\) 11.1300i 0.431929i
\(665\) 56.8785 1.58032i 2.20565 0.0612823i
\(666\) −14.2165 + 15.7805i −0.550878 + 0.611481i
\(667\) −3.96423 + 6.86624i −0.153496 + 0.265862i
\(668\) −21.0214 + 12.1367i −0.813343 + 0.469584i
\(669\) 36.1967 5.72799i 1.39944 0.221457i
\(670\) 4.12609 7.14660i 0.159405 0.276097i
\(671\) 14.9776i 0.578203i
\(672\) 0.841696 + 4.50461i 0.0324691 + 0.173769i
\(673\) 14.9301 0.575513 0.287756 0.957704i \(-0.407091\pi\)
0.287756 + 0.957704i \(0.407091\pi\)
\(674\) −13.3247 + 23.0791i −0.513249 + 0.888973i
\(675\) −6.41671 4.17075i −0.246979 0.160532i
\(676\) 1.78289 + 12.8772i 0.0685728 + 0.495275i
\(677\) −17.9807 + 31.1435i −0.691056 + 1.19694i 0.280437 + 0.959873i \(0.409521\pi\)
−0.971492 + 0.237071i \(0.923813\pi\)
\(678\) 1.38129 + 0.530443i 0.0530483 + 0.0203715i
\(679\) 9.10582 + 4.92524i 0.349449 + 0.189013i
\(680\) 14.5063i 0.556293i
\(681\) 18.1287 14.6763i 0.694694 0.562397i
\(682\) −0.00540703 0.00936526i −0.000207046 0.000358614i
\(683\) −13.5825 23.5256i −0.519721 0.900184i −0.999737 0.0229240i \(-0.992702\pi\)
0.480016 0.877260i \(-0.340631\pi\)
\(684\) −24.1204 + 7.83001i −0.922268 + 0.299388i
\(685\) 33.1978i 1.26842i
\(686\) −16.7541 7.89299i −0.639675 0.301356i
\(687\) 1.39932 3.64389i 0.0533874 0.139023i
\(688\) −1.65832 + 2.87230i −0.0632230 + 0.109505i
\(689\) 5.94006 + 17.3087i 0.226298 + 0.659410i
\(690\) 5.69269 0.900847i 0.216717 0.0342947i
\(691\) −15.9012 + 27.5418i −0.604912 + 1.04774i 0.387153 + 0.922015i \(0.373458\pi\)
−0.992065 + 0.125723i \(0.959875\pi\)
\(692\) 0.409361 0.0155616
\(693\) −10.9309 30.7383i −0.415232 1.16765i
\(694\) 6.30342i 0.239275i
\(695\) 0.792954 1.37344i 0.0300785 0.0520974i
\(696\) −1.64109 10.3705i −0.0622052 0.393091i
\(697\) −12.4128 + 7.16654i −0.470169 + 0.271452i
\(698\) 4.76413 8.25172i 0.180325 0.312332i
\(699\) −2.10795 0.809493i −0.0797301 0.0306178i
\(700\) 3.31927 2.04135i 0.125457 0.0771557i
\(701\) 24.3611i 0.920107i −0.887891 0.460053i \(-0.847830\pi\)
0.887891 0.460053i \(-0.152170\pi\)
\(702\) −18.1720 4.55836i −0.685858 0.172044i
\(703\) 51.8299 29.9240i 1.95480 1.12861i
\(704\) −2.05512 3.55958i −0.0774553 0.134157i
\(705\) −11.8021 14.5784i −0.444493 0.549055i
\(706\) 16.6016i 0.624811i
\(707\) −1.13866 40.9822i −0.0428236 1.54130i
\(708\) 3.14278 + 1.20688i 0.118113 + 0.0453575i
\(709\) −37.1207 21.4317i −1.39410 0.804883i −0.400332 0.916370i \(-0.631105\pi\)
−0.993766 + 0.111487i \(0.964439\pi\)
\(710\) 14.7373 8.50856i 0.553079 0.319320i
\(711\) −8.84153 + 41.5411i −0.331583 + 1.55791i
\(712\) 3.31853 + 1.91595i 0.124367 + 0.0718034i
\(713\) 0.00344114i 0.000128872i
\(714\) 24.6429 + 8.68596i 0.922236 + 0.325064i
\(715\) −37.0038 7.23213i −1.38386 0.270466i
\(716\) 20.4933 + 11.8318i 0.765871 + 0.442176i
\(717\) 5.98976 0.947857i 0.223692 0.0353984i
\(718\) 8.18866 + 14.1832i 0.305598 + 0.529311i
\(719\) −14.3834 + 24.9128i −0.536410 + 0.929090i 0.462683 + 0.886524i \(0.346887\pi\)
−0.999094 + 0.0425664i \(0.986447\pi\)
\(720\) −5.10869 + 5.67070i −0.190390 + 0.211334i
\(721\) −18.4226 29.9555i −0.686094 1.11560i
\(722\) 52.4560 1.95221
\(723\) 14.3799 + 17.7626i 0.534794 + 0.660597i
\(724\) 12.3190 7.11236i 0.457831 0.264329i
\(725\) −7.73200 + 4.46407i −0.287159 + 0.165791i
\(726\) 6.42359 + 7.93466i 0.238402 + 0.294483i
\(727\) 9.23311i 0.342437i −0.985233 0.171219i \(-0.945230\pi\)
0.985233 0.171219i \(-0.0547704\pi\)
\(728\) 6.06358 7.36431i 0.224731 0.272939i
\(729\) 15.8879 21.8306i 0.588439 0.808541i
\(730\) 5.81541 + 3.35753i 0.215238 + 0.124268i
\(731\) 9.45541 + 16.3772i 0.349721 + 0.605734i
\(732\) −0.986500 6.23395i −0.0364621 0.230414i
\(733\) −19.7916 + 34.2800i −0.731018 + 1.26616i 0.225431 + 0.974259i \(0.427621\pi\)
−0.956449 + 0.291901i \(0.905712\pi\)
\(734\) 31.1600i 1.15014i
\(735\) −6.50563 30.1527i −0.239964 1.11220i
\(736\) 1.30792i 0.0482105i
\(737\) 11.5457 + 6.66591i 0.425291 + 0.245542i
\(738\) −7.37615 1.56993i −0.271520 0.0577898i
\(739\) 25.0159 14.4429i 0.920224 0.531291i 0.0365171 0.999333i \(-0.488374\pi\)
0.883706 + 0.468042i \(0.155040\pi\)
\(740\) 9.00633 15.5994i 0.331079 0.573446i
\(741\) 44.7360 + 28.0263i 1.64342 + 1.02957i
\(742\) 6.38855 11.8112i 0.234531 0.433603i
\(743\) 14.2072 0.521211 0.260605 0.965445i \(-0.416078\pi\)
0.260605 + 0.965445i \(0.416078\pi\)
\(744\) 0.00286736 + 0.00354187i 0.000105122 + 0.000129851i
\(745\) 4.34577 2.50903i 0.159217 0.0919238i
\(746\) −11.8848 20.5851i −0.435133 0.753673i
\(747\) −10.3095 31.7586i −0.377206 1.16199i
\(748\) −23.4357 −0.856895
\(749\) 19.7764 + 32.1567i 0.722613 + 1.17498i
\(750\) −14.5099 5.57206i −0.529825 0.203463i
\(751\) −8.05134 + 13.9453i −0.293798 + 0.508873i −0.974704 0.223498i \(-0.928253\pi\)
0.680907 + 0.732370i \(0.261586\pi\)
\(752\) −3.68624 + 2.12825i −0.134423 + 0.0776093i
\(753\) −48.6468 + 7.69818i −1.77279 + 0.280537i
\(754\) −14.3560 + 16.4806i −0.522815 + 0.600187i
\(755\) 23.9176 0.870452
\(756\) 6.57425 + 12.0739i 0.239103 + 0.439124i
\(757\) 24.7260 0.898684 0.449342 0.893360i \(-0.351659\pi\)
0.449342 + 0.893360i \(0.351659\pi\)
\(758\) −5.09123 2.93942i −0.184922 0.106765i
\(759\) 1.45536 + 9.19683i 0.0528264 + 0.333824i
\(760\) 18.6250 10.7532i 0.675601 0.390059i
\(761\) −2.32242 1.34085i −0.0841876 0.0486057i 0.457315 0.889305i \(-0.348811\pi\)
−0.541503 + 0.840699i \(0.682144\pi\)
\(762\) −7.49552 + 19.5186i −0.271534 + 0.707085i
\(763\) 28.1583 0.782355i 1.01940 0.0283232i
\(764\) 16.0046i 0.579024i
\(765\) 13.4370 + 41.3927i 0.485814 + 1.49656i
\(766\) −12.8839 + 7.43851i −0.465514 + 0.268764i
\(767\) −2.27480 6.62854i −0.0821384 0.239343i
\(768\) 1.08983 + 1.34620i 0.0393260 + 0.0485769i
\(769\) 39.1298 1.41106 0.705528 0.708682i \(-0.250710\pi\)
0.705528 + 0.708682i \(0.250710\pi\)
\(770\) 14.4937 + 23.5670i 0.522316 + 0.849295i
\(771\) −11.8590 + 30.8813i −0.427091 + 1.11216i
\(772\) 14.6848 + 8.47830i 0.528519 + 0.305141i
\(773\) −24.0664 + 13.8947i −0.865607 + 0.499758i −0.865886 0.500242i \(-0.833244\pi\)
0.000279226 1.00000i \(0.499911\pi\)
\(774\) −2.07133 + 9.73196i −0.0744526 + 0.349808i
\(775\)