Properties

Label 546.2.bg.b.311.1
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 311.1
Character \(\chi\) \(=\) 546.311
Dual form 546.2.bg.b.467.1

$q$-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} +(-3.41032 + 1.17036i) 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} +(2.14113 - 5.86648i) 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} +(-2.71872 - 2.36824i) 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} +(-2.97761 - 8.67644i) 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} +(6.15108 - 1.07897i) 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} +(-2.84470 - 9.10537i) 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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

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

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
\(3\) −1.71076 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 \(-0.859296\pi\)
−0.0814725 + 0.996676i \(0.525962\pi\)
\(6\) −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 −0.369908 0.929068i \(-0.620611\pi\)
0.989551 0.144184i \(-0.0460558\pi\)
\(12\) 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 −0.279922 0.960023i \(-0.590309\pi\)
0.971365 0.237591i \(-0.0763579\pi\)
\(18\) 0.624526 + 2.93427i 0.147202 + 0.691615i
\(19\) −4.22658 7.32066i −0.969645 1.67947i −0.696581 0.717478i \(-0.745296\pi\)
−0.273064 0.961996i \(-0.588037\pi\)
\(20\) 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 −0.377238 0.926116i \(-0.623126\pi\)
0.613421 + 0.789756i \(0.289793\pi\)
\(24\) 1.71076 + 0.270722i 0.349208 + 0.0552609i
\(25\) 0.736416 1.27551i 0.147283 0.255102i
\(26\) −3.41032 + 1.17036i −0.668818 + 0.229527i
\(27\) −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 \(-0.809712\pi\)
0.826571 0.562832i \(-0.190288\pi\)
\(30\) 3.42498 + 2.77273i 0.625313 + 0.506229i
\(31\) 0.00131550 0.00227852i 0.000236271 0.000409234i −0.865907 0.500205i \(-0.833258\pi\)
0.866144 + 0.499795i \(0.166591\pi\)
\(32\) 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 \(-0.864384\pi\)
−0.0973943 + 0.995246i \(0.531051\pi\)
\(38\) 4.22658 7.32066i 0.685642 1.18757i
\(39\) 2.14113 5.86648i 0.342855 0.939388i
\(40\) 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 \(-0.767142\pi\)
0.206451 + 0.978457i \(0.433809\pi\)
\(48\) 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
\(52\) −2.71872 2.36824i −0.377019 0.328416i
\(53\) −4.39543 2.53770i −0.603758 0.348580i 0.166760 0.985997i \(-0.446669\pi\)
−0.770519 + 0.637417i \(0.780003\pi\)
\(54\) −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 \(-0.373715\pi\)
−0.605554 + 0.795805i \(0.707048\pi\)
\(60\) −0.688764 + 4.35248i −0.0889191 + 0.561903i
\(61\) −3.15576 + 1.82198i −0.404054 + 0.233281i −0.688232 0.725491i \(-0.741613\pi\)
0.284178 + 0.958772i \(0.408279\pi\)
\(62\) 0.00263100 0.000334138
\(63\) −7.80626 + 1.43609i −0.983496 + 0.180930i
\(64\) 1.00000 0.125000
\(65\) −2.97761 8.67644i −0.369327 1.07618i
\(66\) −7.03165 1.11273i −0.865537 0.136968i
\(67\) 2.80901 + 1.62178i 0.343175 + 0.198132i 0.661675 0.749791i \(-0.269846\pi\)
−0.318500 + 0.947923i \(0.603179\pi\)
\(68\) 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 \(-0.370086\pi\)
0.396899 + 0.917862i \(0.370086\pi\)
\(72\) −2.85342 0.926282i −0.336279 0.109163i
\(73\) 1.31969 2.28578i 0.154458 0.267530i −0.778403 0.627765i \(-0.783970\pi\)
0.932862 + 0.360235i \(0.117303\pi\)
\(74\) −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
\(78\) 6.15108 1.07897i 0.696473 0.122169i
\(79\) −7.07859 12.2605i −0.796404 1.37941i −0.921944 0.387323i \(-0.873400\pi\)
0.125540 0.992088i \(-0.459934\pi\)
\(80\) 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 \(-0.731765\pi\)
0.313698 + 0.949523i \(0.398432\pi\)
\(90\) −5.10869 5.67070i −0.538503 0.597744i
\(91\) −2.84470 9.10537i −0.298205 0.954502i
\(92\) 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 \(-0.563654\pi\)
−0.198646 + 0.980071i \(0.563654\pi\)
\(98\) 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 0.166100 + 0.986109i \(0.446883\pi\)
−0.937045 + 0.349208i \(0.886451\pi\)
\(102\) −9.75440 1.54360i −0.965829 0.152839i
\(103\) −11.5111 + 6.64596i −1.13423 + 0.654846i −0.944994 0.327087i \(-0.893933\pi\)
−0.189231 + 0.981933i \(0.560600\pi\)
\(104\) 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 0.235251 0.971935i \(-0.424409\pi\)
0.959346 + 0.282234i \(0.0910754\pi\)
\(108\) 4.35672 2.83179i 0.419225 0.272489i
\(109\) −9.22052 5.32347i −0.883166 0.509896i −0.0114648 0.999934i \(-0.503649\pi\)
−0.871701 + 0.490038i \(0.836983\pi\)
\(110\) −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 \(-0.987206\pi\)
0.999192 0.0401816i \(-0.0127936\pi\)
\(114\) −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
\(117\) −5.25115 + 9.45650i −0.485469 + 0.874254i
\(118\) 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
\(130\) 6.02522 6.91691i 0.528446 0.606653i
\(131\) −8.61673 14.9246i −0.752847 1.30397i −0.946438 0.322887i \(-0.895347\pi\)
0.193591 0.981082i \(-0.437987\pi\)
\(132\) −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 0.440306 + 0.897848i \(0.354870\pi\)
−0.997712 + 0.0676081i \(0.978463\pi\)
\(138\) −1.76072 1.42541i −0.149883 0.121339i
\(139\) 0.623348i 0.0528717i 0.999651 + 0.0264359i \(0.00841577\pi\)
−0.999651 + 0.0264359i \(0.991584\pi\)
\(140\) 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
\(143\) 11.1746 + 9.73404i 0.934468 + 0.814001i
\(144\) −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 \(-0.192411\pi\)
−0.903590 + 0.428398i \(0.859078\pi\)
\(150\) −2.51967 0.398728i −0.205730 0.0325560i
\(151\) −8.14145 4.70047i −0.662542 0.382519i 0.130703 0.991422i \(-0.458277\pi\)
−0.793245 + 0.608903i \(0.791610\pi\)
\(152\) 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
\(156\) 4.00995 + 4.78751i 0.321053 + 0.383308i
\(157\) 6.32327 + 3.65074i 0.504652 + 0.291361i 0.730633 0.682771i \(-0.239225\pi\)
−0.225980 + 0.974132i \(0.572559\pi\)
\(158\) 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 \(-0.868552\pi\)
−0.110418 + 0.993885i \(0.535219\pi\)
\(164\) −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 0.858140 0.513416i \(-0.171620\pi\)
−0.873701 + 0.486463i \(0.838287\pi\)
\(174\) −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 −0.999282 0.0378964i \(-0.987934\pi\)
−0.532460 0.846455i \(-0.678732\pi\)
\(180\) 2.35662 7.25960i 0.175652 0.541099i
\(181\) 14.2247i 1.05732i −0.848835 0.528658i \(-0.822696\pi\)
0.848835 0.528658i \(-0.177304\pi\)
\(182\) 6.46313 7.01626i 0.479079 0.520080i
\(183\) 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 −0.909105 0.416567i \(-0.863233\pi\)
−0.0937947 + 0.995592i \(0.529900\pi\)
\(192\) −1.71076 0.270722i −0.123464 0.0195377i
\(193\) 14.6848 + 8.47830i 1.05704 + 0.610281i 0.924611 0.380912i \(-0.124390\pi\)
0.132427 + 0.991193i \(0.457723\pi\)
\(194\) −1.95644 3.38865i −0.140464 0.243291i
\(195\) 2.74508 + 15.6494i 0.196579 + 1.12068i
\(196\) 3.15799 + 6.24716i 0.225571 + 0.446226i
\(197\) 2.56563 0.182794 0.0913969 0.995815i \(-0.470867\pi\)
0.0913969 + 0.995815i \(0.470867\pi\)
\(198\) 11.7282 + 3.80724i 0.833490 + 0.270569i
\(199\) 18.7467 + 10.8234i 1.32892 + 0.767249i 0.985132 0.171800i \(-0.0549582\pi\)
0.343783 + 0.939049i \(0.388292\pi\)
\(200\) −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
\(208\) 3.41032 1.17036i 0.236463 0.0811500i
\(209\) −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
\(221\) 15.5016 + 13.5032i 1.04275 + 0.908322i
\(222\) 9.53106 + 7.71597i 0.639683 + 0.517862i
\(223\) 21.1582 1.41686 0.708429 0.705782i \(-0.249404\pi\)
0.708429 + 0.705782i \(0.249404\pi\)
\(224\) −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 \(-0.185860\pi\)
−0.0602614 + 0.998183i \(0.519193\pi\)
\(228\) −14.4614 2.28846i −0.957727 0.151557i
\(229\) 1.12680 + 1.95167i 0.0744607 + 0.128970i 0.900852 0.434127i \(-0.142943\pi\)
−0.826391 + 0.563097i \(0.809610\pi\)
\(230\) −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 −0.462562 0.886587i \(-0.653070\pi\)
0.536526 + 0.843884i \(0.319736\pi\)
\(234\) −10.8151 + 0.180622i −0.707008 + 0.0118076i
\(235\) 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 \(-0.463878\pi\)
0.113238 + 0.993568i \(0.463878\pi\)
\(240\) −3.42498 2.77273i −0.221081 0.178979i
\(241\) 6.59729 11.4268i 0.424969 0.736067i −0.571449 0.820638i \(-0.693618\pi\)
0.996418 + 0.0845704i \(0.0269518\pi\)
\(242\) 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
\(247\) 28.8280 9.89327i 1.83428 0.629494i
\(248\) −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 0.993451 + 0.114257i \(0.0364486\pi\)
−0.397776 + 0.917482i \(0.630218\pi\)
\(258\) −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 0.354851 0.934923i \(-0.384532\pi\)
−0.632242 + 0.774771i \(0.717865\pi\)
\(264\) 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 −0.944963 0.327179i \(-0.893902\pi\)
0.755826 + 0.654772i \(0.227235\pi\)
\(270\) 7.20457 + 11.0843i 0.438456 + 0.674566i
\(271\) 12.8489 + 22.2550i 0.780518 + 1.35190i 0.931640 + 0.363382i \(0.118378\pi\)
−0.151123 + 0.988515i \(0.548289\pi\)
\(272\) −5.70178 −0.345721
\(273\) 2.40158 + 16.3472i 0.145350 + 0.989380i
\(274\) −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 0.226159 + 0.974090i \(0.427383\pi\)
−0.956667 + 0.291186i \(0.905950\pi\)
\(278\) −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 \(-0.262966\pi\)
0.677724 + 0.735316i \(0.262966\pi\)
\(282\) 5.73011 + 4.63887i 0.341223 + 0.276241i
\(283\) 16.6217 + 9.59655i 0.988059 + 0.570456i 0.904693 0.426063i \(-0.140100\pi\)
0.0833652 + 0.996519i \(0.473433\pi\)
\(284\) −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
\(299\) 1.53074 + 4.46042i 0.0885249 + 0.257952i
\(300\) −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 \(-0.783440\pi\)
−0.777357 + 0.629060i \(0.783440\pi\)
\(308\) −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 −0.904445 0.426591i \(-0.859714\pi\)
0.821661 + 0.569977i \(0.193048\pi\)
\(312\) −2.14113 + 5.86648i −0.121218 + 0.332124i
\(313\) 5.81374 3.35656i 0.328612 0.189724i −0.326613 0.945158i \(-0.605907\pi\)
0.655225 + 0.755434i \(0.272574\pi\)
\(314\) 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 \(-0.309473\pi\)
−0.997192 + 0.0748897i \(0.976140\pi\)
\(318\) −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
\(325\) 4.00422 + 3.48802i 0.222114 + 0.193480i
\(326\) −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 \(-0.624690\pi\)
0.609534 + 0.792760i \(0.291357\pi\)
\(332\) 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 \(0.241450\pi\)
\(338\) −1.78289 12.8772i −0.0969765 0.700425i
\(339\) −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 0.639317 0.768944i \(-0.279217\pi\)
−0.346266 + 0.938136i \(0.612551\pi\)
\(348\) −8.16053 6.60645i −0.437450 0.354143i
\(349\) 9.52826 0.510036 0.255018 0.966936i \(-0.417919\pi\)
0.255018 + 0.966936i \(0.417919\pi\)
\(350\) −3.42749 + 1.85390i −0.183207 + 0.0990949i
\(351\) 11.5436 14.7562i 0.616149 0.787629i
\(352\) −2.05512 3.55958i −0.109538 0.189726i
\(353\) −14.3774 8.30082i −0.765234 0.441808i 0.0659376 0.997824i \(-0.478996\pi\)
−0.831172 + 0.556016i \(0.812329\pi\)
\(354\) −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 \(-0.308922\pi\)
−0.997061 + 0.0766138i \(0.975589\pi\)
\(360\) 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
\(364\) 9.30783 + 2.08910i 0.487863 + 0.109499i
\(365\) 6.71506i 0.351482i
\(366\) 4.90551 + 3.97131i 0.256415 + 0.207584i
\(367\) −26.9853 15.5800i −1.40862 0.813269i −0.413368 0.910564i \(-0.635648\pi\)
−0.995256 + 0.0972954i \(0.968981\pi\)
\(368\) −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 −0.990319 0.138809i \(-0.955673\pi\)
0.374948 0.927046i \(-0.377661\pi\)
\(374\) 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 \(-0.790774\pi\)
0.133307 + 0.991075i \(0.457440\pi\)
\(384\) −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 −0.371821 0.928305i \(-0.621266\pi\)
−0.989846 + 0.142146i \(0.954600\pi\)
\(390\) −12.1803 + 10.2020i −0.616772 + 0.516600i
\(391\) 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 \(-0.282736\pi\)
−0.987393 + 0.158287i \(0.949403\pi\)
\(398\) 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 0.727174 + 0.686453i \(0.240833\pi\)
0.230899 + 0.972978i \(0.425833\pi\)
\(402\) 0.878102 5.54896i 0.0437958 0.276757i
\(403\) 0.00715297 + 0.00623085i 0.000356315 + 0.000310381i
\(404\) −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 \(-0.800355\pi\)
0.913091 + 0.407755i \(0.133688\pi\)
\(410\) 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
\(416\) 2.71872 + 2.36824i 0.133296 + 0.116112i
\(417\) 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
\(429\) −16.4819 19.6778i −0.795753 0.950055i
\(430\) −7.30764 4.21907i −0.352406 0.203462i
\(431\) 1.83652 3.18094i 0.0884620 0.153221i −0.818399 0.574650i \(-0.805138\pi\)
0.906861 + 0.421429i \(0.138471\pi\)
\(432\) 0.274044 + 5.18892i 0.0131849 + 0.249652i
\(433\) 30.9079i 1.48534i −0.669658 0.742669i \(-0.733559\pi\)
0.669658 0.742669i \(-0.266441\pi\)
\(434\) −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 0.521564 0.853212i \(-0.325349\pi\)
0.999685 0.0250815i \(-0.00798452\pi\)
\(440\) 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 −0.513077 + 0.858342i \(0.671495\pi\)
−0.999885 + 0.0151669i \(0.995172\pi\)
\(444\) −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 \(-0.529685\pi\)
−0.0931240 + 0.995655i \(0.529685\pi\)
\(450\) 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
\(455\) 17.8506 + 16.4433i 0.836850 + 0.770876i
\(456\) −5.24882 13.6681i −0.245799 0.640069i
\(457\) −0.843279 + 0.486868i −0.0394469 + 0.0227747i −0.519594 0.854413i \(-0.673917\pi\)
0.480147 + 0.877188i \(0.340583\pi\)
\(458\) −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 0.993533 + 0.113542i \(0.0362196\pi\)
−0.398437 + 0.917196i \(0.630447\pi\)
\(468\) −5.56400 9.27588i −0.257196 0.428778i
\(469\) −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 \(-0.0739557\pi\)
0.287160 + 0.957883i \(0.407289\pi\)
\(480\) 0.688764 4.35248i 0.0314376 0.198663i
\(481\) −8.28612 24.1449i −0.377814 1.10091i
\(482\) 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 \(-0.178255\pi\)
−0.0363981 + 0.999337i \(0.511588\pi\)
\(488\) 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 \(0.0657322\pi\)
−0.978754 + 0.205039i \(0.934268\pi\)
\(492\) 3.38407 + 2.73961i 0.152566 + 0.123511i
\(493\) −29.9329 17.2818i −1.34811 0.778332i
\(494\) 22.9818 + 20.0191i 1.03400 + 0.900703i
\(495\) −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 \(-0.788598\pi\)
0.140079 + 0.990140i \(0.455264\pi\)
\(500\) 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
\(507\) 19.2783 + 11.6338i 0.856181 + 0.516676i
\(508\) 6.03573 10.4542i 0.267792 0.463829i
\(509\) 29.2792 16.9043i 1.29778 0.749272i 0.317757 0.948172i \(-0.397070\pi\)
0.980020 + 0.198900i \(0.0637369\pi\)
\(510\) 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
\(520\) 2.97761 + 8.67644i 0.130577 + 0.380487i
\(521\) −12.3261 + 21.3495i −0.540017 + 0.935338i 0.458885 + 0.888496i \(0.348249\pi\)
−0.998902 + 0.0468419i \(0.985084\pi\)
\(522\) 17.7872 3.78581i 0.778526 0.165700i
\(523\) −9.97765 + 5.76060i −0.436292 + 0.251893i −0.702024 0.712154i \(-0.747720\pi\)
0.265732 + 0.964047i \(0.414387\pi\)
\(524\) 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 \(-0.793161\pi\)
0.125871 + 0.992047i \(0.459827\pi\)
\(542\) −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
\(546\) −12.9563 + 10.2535i −0.554480 + 0.438807i
\(547\) −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 −0.362106 0.932137i \(-0.617942\pi\)
0.988307 0.152475i \(-0.0487244\pi\)
\(558\) 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 −0.999918 0.0128088i \(-0.995923\pi\)
0.511052 + 0.859550i \(0.329256\pi\)
\(564\) −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 −0.148091 0.988974i \(-0.547313\pi\)
0.782431 + 0.622738i \(0.213980\pi\)
\(570\) 5.82224 36.7923i 0.243867 1.54106i
\(571\) 4.98953 8.64212i 0.208805 0.361662i −0.742533 0.669809i \(-0.766376\pi\)
0.951339 + 0.308148i \(0.0997091\pi\)
\(572\) −14.0172 + 4.81047i −0.586090 + 0.201136i
\(573\) 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 \(-0.954329\pi\)
0.618694 + 0.785632i \(0.287662\pi\)
\(578\) 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
\(585\) −0.459534 27.5156i −0.0189994 1.13763i
\(586\) 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 \(-0.733418\pi\)
0.308763 + 0.951139i \(0.400085\pi\)
\(594\) −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
\(598\) −3.09746 + 3.55587i −0.126665 + 0.145410i
\(599\) −10.0365 5.79458i −0.410081 0.236760i 0.280744 0.959783i \(-0.409419\pi\)
−0.690824 + 0.723023i \(0.742752\pi\)
\(600\) 1.60514 1.98273i 0.0655296 0.0809447i
\(601\) 4.44714i 0.181403i 0.995878 + 0.0907013i \(0.0289109\pi\)
−0.995878 + 0.0907013i \(0.971089\pi\)
\(602\) −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 −0.387335 0.921939i \(-0.626604\pi\)
0.604755 + 0.796411i \(0.293271\pi\)
\(608\) −8.45317 −0.342821
\(609\) −9.23454 26.1992i −0.374202 1.06165i
\(610\) 9.27088 0.375367
\(611\) −4.98165 14.5160i −0.201536 0.587255i
\(612\) 3.56091 + 16.7306i 0.143941 + 0.676294i
\(613\) 19.9940 + 11.5435i 0.807549 + 0.466239i 0.846104 0.533018i \(-0.178942\pi\)
−0.0385548 + 0.999256i \(0.512275\pi\)
\(614\) −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 \(-0.594279\pi\)
−0.291874 + 0.956457i \(0.594279\pi\)
\(618\) 17.8936 + 14.4860i 0.719787 + 0.582711i
\(619\) 11.4323 19.8013i 0.459503 0.795882i −0.539432 0.842029i \(-0.681361\pi\)
0.998935 + 0.0461472i \(0.0146943\pi\)
\(620\) −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
\(624\) −6.15108 + 1.07897i −0.246240 + 0.0431932i
\(625\) 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
\(637\) 18.0812 + 17.6088i 0.716403 + 0.697686i
\(638\) 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 −0.0707844 0.997492i \(-0.522550\pi\)
−0.899245 + 0.437445i \(0.855884\pi\)
\(642\) −19.2085 15.5504i −0.758099 0.613727i
\(643\) −7.46124 −0.294243 −0.147121 0.989118i \(-0.547001\pi\)
−0.147121 + 0.989118i \(0.547001\pi\)
\(644\) −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 −0.507264 0.861791i \(-0.669343\pi\)
0.999965 + 0.00840826i \(0.00267646\pi\)
\(648\) −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 −0.312134 0.950038i \(-0.601044\pi\)
0.666690 + 0.745335i \(0.267711\pi\)
\(654\) −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 \(-0.838931\pi\)
0.874684 0.484694i \(-0.161069\pi\)
\(660\) 14.0775 + 11.3966i 0.547966 + 0.443612i
\(661\) 24.9458 43.2074i 0.970280 1.68057i 0.275574 0.961280i \(-0.411132\pi\)
0.694706 0.719294i \(-0.255535\pi\)
\(662\) 4.14357 + 2.39229i 0.161044 + 0.0929790i
\(663\) −22.8639 27.2974i −0.887960 1.06014i
\(664\) 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
\(676\) 10.2605 7.98261i 0.394635 0.307023i
\(677\) −17.9807 31.1435i −0.691056 1.19694i −0.971492 0.237071i \(-0.923813\pi\)
0.280437 0.959873i \(-0.409521\pi\)
\(678\) −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 −0.480016 0.877260i \(-0.659369\pi\)
0.999737 0.0229240i \(-0.00729756\pi\)
\(684\) 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
\(689\) 12.0198 13.7986i 0.457917 0.525685i
\(690\) 5.69269 + 0.900847i 0.216717 + 0.0342947i
\(691\) 15.9012 + 27.5418i 0.604912 + 1.04774i 0.992065 + 0.125723i \(0.0401251\pi\)
−0.387153 + 0.922015i \(0.626542\pi\)
\(692\) 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 \(0.152170\pi\)
−0.887891 + 0.460053i \(0.847830\pi\)
\(702\) 18.5510 + 2.61889i 0.700164 + 0.0988438i
\(703\) 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 \(-0.368895\pi\)
0.993766 + 0.111487i \(0.0355613\pi\)
\(710\) −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 −0.999094 0.0425664i \(-0.986447\pi\)
0.462683 0.886524i \(-0.346887\pi\)
\(720\) 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 \(0.0547704\pi\)
−0.985233 + 0.171219i \(0.945230\pi\)
\(728\) 2.84470 + 9.10537i 0.105432 + 0.337467i
\(729\) 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 0.956449 + 0.291901i \(0.0942878\pi\)
−0.225431 + 0.974259i \(0.572379\pi\)
\(734\) 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 \(-0.511626\pi\)
−0.883706 + 0.468042i \(0.844960\pi\)
\(740\) 9.00633 + 15.5994i 0.331079 + 0.573446i
\(741\) −51.9961 + 9.12068i −1.91013 + 0.335056i
\(742\) 6.38855 + 11.8112i 0.234531 + 0.433603i
\(743\) −14.2072 −0.521211 −0.260605 0.965445i \(-0.583922\pi\)
−0.260605 + 0.965445i \(0.583922\pi\)
\(744\) 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 0.680907 0.732370i \(-0.261586\pi\)
−0.974704 + 0.223498i \(0.928253\pi\)
\(752\) 3.68624 + 2.12825i 0.134423 + 0.0776093i
\(753\) −48.6468 7.69818i −1.77279 0.280537i
\(754\) 7.09461 + 20.6729i 0.258370 + 0.752864i
\(755\) 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 \(-0.651189\pi\)
0.541503 + 0.840699i \(0.317856\pi\)
\(762\) 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
\(767\) 4.60309 5.28431i 0.166208 0.190805i
\(768\) 1.08983 1.34620i 0.0393260 0.0485769i
\(769\) −39.1298 −1.41106 −0.705528 0.708682i \(-0.749290\pi\)
−0.705528 + 0.708682i \(0.749290\pi\)
\(770\) 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 \(-0.166756\pi\)
−0.000279226 1.00000i \(0.500089\pi\)
\(774\) 2.07133 + 9.73196i 0.0744526 + 0.349808i
\(775\)