Properties

Label 546.2.bw.a.527.38
Level $546$
Weight $2$
Character 546.527
Analytic conductor $4.360$
Analytic rank $0$
Dimension $152$
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.bw (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(152\)
Relative dimension: \(38\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 527.38
Character \(\chi\) \(=\) 546.527
Dual form 546.2.bw.a.431.38

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 + 0.258819i) q^{2} +(1.72806 - 0.117493i) q^{3} +(0.866025 + 0.500000i) q^{4} +(1.12449 + 4.19664i) q^{5} +(1.69959 + 0.333765i) q^{6} +(-2.63306 + 0.258797i) q^{7} +(0.707107 + 0.707107i) q^{8} +(2.97239 - 0.406071i) q^{9} +O(q^{10})\) \(q+(0.965926 + 0.258819i) q^{2} +(1.72806 - 0.117493i) q^{3} +(0.866025 + 0.500000i) q^{4} +(1.12449 + 4.19664i) q^{5} +(1.69959 + 0.333765i) q^{6} +(-2.63306 + 0.258797i) q^{7} +(0.707107 + 0.707107i) q^{8} +(2.97239 - 0.406071i) q^{9} +4.34468i q^{10} +(-1.35259 - 1.35259i) q^{11} +(1.55529 + 0.762278i) q^{12} +(-0.217387 - 3.59899i) q^{13} +(-2.61033 - 0.431508i) q^{14} +(2.43626 + 7.11992i) q^{15} +(0.500000 + 0.866025i) q^{16} +(0.351682 - 0.609132i) q^{17} +(2.97621 + 0.377077i) q^{18} +(-2.51491 - 2.51491i) q^{19} +(-1.12449 + 4.19664i) q^{20} +(-4.51969 + 0.756585i) q^{21} +(-0.956425 - 1.65658i) q^{22} +(0.914210 + 1.58346i) q^{23} +(1.30500 + 1.13884i) q^{24} +(-12.0172 + 6.93811i) q^{25} +(0.721508 - 3.53262i) q^{26} +(5.08876 - 1.05095i) q^{27} +(-2.40970 - 1.09241i) q^{28} +(6.59692 + 3.80874i) q^{29} +(0.510470 + 7.50787i) q^{30} +(1.94735 - 7.26761i) q^{31} +(0.258819 + 0.965926i) q^{32} +(-2.49628 - 2.17844i) q^{33} +(0.497354 - 0.497354i) q^{34} +(-4.04692 - 10.7590i) q^{35} +(2.77720 + 1.13453i) q^{36} +(1.43162 + 0.383602i) q^{37} +(-1.77831 - 3.08012i) q^{38} +(-0.798516 - 6.19374i) q^{39} +(-2.17234 + 3.76260i) q^{40} +(-0.735223 - 2.74389i) q^{41} +(-4.56150 - 0.438977i) q^{42} +(3.30528 - 1.90831i) q^{43} +(-0.495082 - 1.84767i) q^{44} +(5.04654 + 12.0174i) q^{45} +(0.473230 + 1.76612i) q^{46} +(-0.438948 + 0.117616i) q^{47} +(0.965783 + 1.43780i) q^{48} +(6.86605 - 1.36286i) q^{49} +(-13.4034 + 3.59143i) q^{50} +(0.536160 - 1.09394i) q^{51} +(1.61123 - 3.22551i) q^{52} +(6.96361 - 4.02044i) q^{53} +(5.18737 + 0.301928i) q^{54} +(4.15536 - 7.19729i) q^{55} +(-2.04485 - 1.67886i) q^{56} +(-4.64140 - 4.05043i) q^{57} +(5.38637 + 5.38637i) q^{58} +(-6.58533 + 1.76453i) q^{59} +(-1.45010 + 7.38416i) q^{60} +10.3019 q^{61} +(3.76199 - 6.51596i) q^{62} +(-7.72140 + 1.83846i) q^{63} +1.00000i q^{64} +(14.8592 - 4.95931i) q^{65} +(-1.84740 - 2.75029i) q^{66} +(1.89378 + 1.89378i) q^{67} +(0.609132 - 0.351682i) q^{68} +(1.76586 + 2.62890i) q^{69} +(-1.12439 - 11.4398i) q^{70} +(-12.7586 - 3.41866i) q^{71} +(2.38893 + 1.81466i) q^{72} +(-13.7090 - 3.67331i) q^{73} +(1.28356 + 0.741062i) q^{74} +(-19.9512 + 13.4014i) q^{75} +(-0.920521 - 3.43543i) q^{76} +(3.91150 + 3.21141i) q^{77} +(0.831750 - 6.18936i) q^{78} +(-0.155398 + 0.269158i) q^{79} +(-3.07215 + 3.07215i) q^{80} +(8.67021 - 2.41400i) q^{81} -2.84068i q^{82} +(0.970732 - 0.970732i) q^{83} +(-4.29246 - 1.60462i) q^{84} +(2.95177 + 0.790923i) q^{85} +(3.68656 - 0.987812i) q^{86} +(11.8474 + 5.80663i) q^{87} -1.91285i q^{88} +(-3.19161 + 11.9113i) q^{89} +(1.76425 + 12.9141i) q^{90} +(1.50380 + 9.42012i) q^{91} +1.82842i q^{92} +(2.51125 - 12.7877i) q^{93} -0.454432 q^{94} +(7.72618 - 13.3821i) q^{95} +(0.560745 + 1.63877i) q^{96} +(-2.18315 + 8.14762i) q^{97} +(6.98483 + 0.460643i) q^{98} +(-4.56967 - 3.47117i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 152q + 12q^{7} + O(q^{10}) \) \( 152q + 12q^{7} + 76q^{16} - 8q^{18} + 12q^{19} + 8q^{21} + 24q^{27} + 16q^{28} - 12q^{31} - 48q^{33} + 24q^{36} - 36q^{37} - 8q^{39} + 84q^{43} - 40q^{45} - 16q^{46} - 28q^{49} + 4q^{52} + 24q^{54} + 16q^{55} - 8q^{57} - 16q^{58} + 64q^{61} - 100q^{63} + 16q^{66} - 112q^{67} + 84q^{69} + 16q^{72} - 120q^{73} - 48q^{76} - 8q^{78} + 32q^{79} + 48q^{81} - 8q^{84} - 152q^{85} + 48q^{87} + 16q^{91} - 12q^{93} - 64q^{94} - 100q^{97} + 16q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(-1\) \(e\left(\frac{11}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965926 + 0.258819i 0.683013 + 0.183013i
\(3\) 1.72806 0.117493i 0.997697 0.0678347i
\(4\) 0.866025 + 0.500000i 0.433013 + 0.250000i
\(5\) 1.12449 + 4.19664i 0.502885 + 1.87679i 0.480408 + 0.877045i \(0.340489\pi\)
0.0224773 + 0.999747i \(0.492845\pi\)
\(6\) 1.69959 + 0.333765i 0.693854 + 0.136259i
\(7\) −2.63306 + 0.258797i −0.995205 + 0.0978162i
\(8\) 0.707107 + 0.707107i 0.250000 + 0.250000i
\(9\) 2.97239 0.406071i 0.990797 0.135357i
\(10\) 4.34468i 1.37391i
\(11\) −1.35259 1.35259i −0.407821 0.407821i 0.473157 0.880978i \(-0.343114\pi\)
−0.880978 + 0.473157i \(0.843114\pi\)
\(12\) 1.55529 + 0.762278i 0.448974 + 0.220051i
\(13\) −0.217387 3.59899i −0.0602924 0.998181i
\(14\) −2.61033 0.431508i −0.697639 0.115325i
\(15\) 2.43626 + 7.11992i 0.629038 + 1.83836i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) 0.351682 0.609132i 0.0852955 0.147736i −0.820222 0.572046i \(-0.806150\pi\)
0.905517 + 0.424310i \(0.139483\pi\)
\(18\) 2.97621 + 0.377077i 0.701499 + 0.0888779i
\(19\) −2.51491 2.51491i −0.576960 0.576960i 0.357105 0.934064i \(-0.383764\pi\)
−0.934064 + 0.357105i \(0.883764\pi\)
\(20\) −1.12449 + 4.19664i −0.251443 + 0.938396i
\(21\) −4.51969 + 0.756585i −0.986277 + 0.165100i
\(22\) −0.956425 1.65658i −0.203910 0.353183i
\(23\) 0.914210 + 1.58346i 0.190626 + 0.330174i 0.945458 0.325744i \(-0.105615\pi\)
−0.754832 + 0.655918i \(0.772282\pi\)
\(24\) 1.30500 + 1.13884i 0.266383 + 0.232465i
\(25\) −12.0172 + 6.93811i −2.40343 + 1.38762i
\(26\) 0.721508 3.53262i 0.141499 0.692804i
\(27\) 5.08876 1.05095i 0.979333 0.202256i
\(28\) −2.40970 1.09241i −0.455390 0.206445i
\(29\) 6.59692 + 3.80874i 1.22502 + 0.707265i 0.965984 0.258604i \(-0.0832623\pi\)
0.259035 + 0.965868i \(0.416596\pi\)
\(30\) 0.510470 + 7.50787i 0.0931987 + 1.37074i
\(31\) 1.94735 7.26761i 0.349754 1.30530i −0.537204 0.843452i \(-0.680519\pi\)
0.886959 0.461849i \(-0.152814\pi\)
\(32\) 0.258819 + 0.965926i 0.0457532 + 0.170753i
\(33\) −2.49628 2.17844i −0.434546 0.379217i
\(34\) 0.497354 0.497354i 0.0852955 0.0852955i
\(35\) −4.04692 10.7590i −0.684054 1.81860i
\(36\) 2.77720 + 1.13453i 0.462867 + 0.189088i
\(37\) 1.43162 + 0.383602i 0.235357 + 0.0630638i 0.374570 0.927199i \(-0.377790\pi\)
−0.139212 + 0.990263i \(0.544457\pi\)
\(38\) −1.77831 3.08012i −0.288480 0.499662i
\(39\) −0.798516 6.19374i −0.127865 0.991792i
\(40\) −2.17234 + 3.76260i −0.343477 + 0.594919i
\(41\) −0.735223 2.74389i −0.114822 0.428523i 0.884451 0.466633i \(-0.154533\pi\)
−0.999274 + 0.0381096i \(0.987866\pi\)
\(42\) −4.56150 0.438977i −0.703855 0.0677356i
\(43\) 3.30528 1.90831i 0.504051 0.291014i −0.226334 0.974050i \(-0.572674\pi\)
0.730385 + 0.683036i \(0.239341\pi\)
\(44\) −0.495082 1.84767i −0.0746364 0.278547i
\(45\) 5.04654 + 12.0174i 0.752294 + 1.79145i
\(46\) 0.473230 + 1.76612i 0.0697740 + 0.260400i
\(47\) −0.438948 + 0.117616i −0.0640271 + 0.0171560i −0.290690 0.956817i \(-0.593885\pi\)
0.226663 + 0.973973i \(0.427218\pi\)
\(48\) 0.965783 + 1.43780i 0.139399 + 0.207528i
\(49\) 6.86605 1.36286i 0.980864 0.194694i
\(50\) −13.4034 + 3.59143i −1.89553 + 0.507905i
\(51\) 0.536160 1.09394i 0.0750774 0.153182i
\(52\) 1.61123 3.22551i 0.223438 0.447298i
\(53\) 6.96361 4.02044i 0.956526 0.552250i 0.0614236 0.998112i \(-0.480436\pi\)
0.895102 + 0.445862i \(0.147103\pi\)
\(54\) 5.18737 + 0.301928i 0.705912 + 0.0410871i
\(55\) 4.15536 7.19729i 0.560308 0.970482i
\(56\) −2.04485 1.67886i −0.273255 0.224347i
\(57\) −4.64140 4.05043i −0.614769 0.536493i
\(58\) 5.38637 + 5.38637i 0.707265 + 0.707265i
\(59\) −6.58533 + 1.76453i −0.857336 + 0.229723i −0.660604 0.750735i \(-0.729700\pi\)
−0.196732 + 0.980457i \(0.563033\pi\)
\(60\) −1.45010 + 7.38416i −0.187207 + 0.953291i
\(61\) 10.3019 1.31903 0.659513 0.751693i \(-0.270762\pi\)
0.659513 + 0.751693i \(0.270762\pi\)
\(62\) 3.76199 6.51596i 0.477773 0.827528i
\(63\) −7.72140 + 1.83846i −0.972805 + 0.231624i
\(64\) 1.00000i 0.125000i
\(65\) 14.8592 4.95931i 1.84306 0.615127i
\(66\) −1.84740 2.75029i −0.227399 0.338537i
\(67\) 1.89378 + 1.89378i 0.231362 + 0.231362i 0.813261 0.581899i \(-0.197690\pi\)
−0.581899 + 0.813261i \(0.697690\pi\)
\(68\) 0.609132 0.351682i 0.0738681 0.0426478i
\(69\) 1.76586 + 2.62890i 0.212584 + 0.316482i
\(70\) −1.12439 11.4398i −0.134390 1.36732i
\(71\) −12.7586 3.41866i −1.51417 0.405720i −0.596351 0.802724i \(-0.703383\pi\)
−0.917817 + 0.397004i \(0.870050\pi\)
\(72\) 2.38893 + 1.81466i 0.281538 + 0.213860i
\(73\) −13.7090 3.67331i −1.60451 0.429928i −0.658112 0.752920i \(-0.728645\pi\)
−0.946402 + 0.322991i \(0.895312\pi\)
\(74\) 1.28356 + 0.741062i 0.149211 + 0.0861468i
\(75\) −19.9512 + 13.4014i −2.30377 + 1.54746i
\(76\) −0.920521 3.43543i −0.105591 0.394071i
\(77\) 3.91150 + 3.21141i 0.445757 + 0.365974i
\(78\) 0.831750 6.18936i 0.0941771 0.700807i
\(79\) −0.155398 + 0.269158i −0.0174837 + 0.0302826i −0.874635 0.484782i \(-0.838899\pi\)
0.857151 + 0.515065i \(0.172232\pi\)
\(80\) −3.07215 + 3.07215i −0.343477 + 0.343477i
\(81\) 8.67021 2.41400i 0.963357 0.268223i
\(82\) 2.84068i 0.313701i
\(83\) 0.970732 0.970732i 0.106552 0.106552i −0.651821 0.758373i \(-0.725995\pi\)
0.758373 + 0.651821i \(0.225995\pi\)
\(84\) −4.29246 1.60462i −0.468345 0.175079i
\(85\) 2.95177 + 0.790923i 0.320164 + 0.0857877i
\(86\) 3.68656 0.987812i 0.397532 0.106518i
\(87\) 11.8474 + 5.80663i 1.27017 + 0.622537i
\(88\) 1.91285i 0.203910i
\(89\) −3.19161 + 11.9113i −0.338310 + 1.26259i 0.561925 + 0.827188i \(0.310061\pi\)
−0.900235 + 0.435403i \(0.856606\pi\)
\(90\) 1.76425 + 12.9141i 0.185968 + 1.36126i
\(91\) 1.50380 + 9.42012i 0.157641 + 0.987496i
\(92\) 1.82842i 0.190626i
\(93\) 2.51125 12.7877i 0.260404 1.32602i
\(94\) −0.454432 −0.0468711
\(95\) 7.72618 13.3821i 0.792690 1.37298i
\(96\) 0.560745 + 1.63877i 0.0572308 + 0.167256i
\(97\) −2.18315 + 8.14762i −0.221665 + 0.827266i 0.762048 + 0.647521i \(0.224194\pi\)
−0.983713 + 0.179745i \(0.942473\pi\)
\(98\) 6.98483 + 0.460643i 0.705574 + 0.0465320i
\(99\) −4.56967 3.47117i −0.459269 0.348866i
\(100\) −13.8762 −1.38762
\(101\) −16.0093 −1.59299 −0.796493 0.604647i \(-0.793314\pi\)
−0.796493 + 0.604647i \(0.793314\pi\)
\(102\) 0.801023 0.917894i 0.0793130 0.0908850i
\(103\) −0.487403 0.281403i −0.0480253 0.0277274i 0.475795 0.879556i \(-0.342160\pi\)
−0.523820 + 0.851829i \(0.675494\pi\)
\(104\) 2.39116 2.69859i 0.234472 0.264618i
\(105\) −8.25743 18.1167i −0.805843 1.76801i
\(106\) 7.76690 2.08113i 0.754388 0.202138i
\(107\) −9.00024 + 5.19629i −0.870086 + 0.502345i −0.867377 0.497652i \(-0.834196\pi\)
−0.00270934 + 0.999996i \(0.500862\pi\)
\(108\) 4.93247 + 1.63423i 0.474627 + 0.157254i
\(109\) −2.17796 + 8.12825i −0.208611 + 0.778546i 0.779708 + 0.626143i \(0.215368\pi\)
−0.988319 + 0.152402i \(0.951299\pi\)
\(110\) 5.87656 5.87656i 0.560308 0.560308i
\(111\) 2.51900 + 0.494682i 0.239093 + 0.0469531i
\(112\) −1.54066 2.15090i −0.145578 0.203241i
\(113\) −12.1496 + 7.01456i −1.14294 + 0.659874i −0.947156 0.320774i \(-0.896057\pi\)
−0.195780 + 0.980648i \(0.562724\pi\)
\(114\) −3.43492 5.11370i −0.321710 0.478942i
\(115\) −5.61718 + 5.61718i −0.523805 + 0.523805i
\(116\) 3.80874 + 6.59692i 0.353632 + 0.612509i
\(117\) −2.10761 10.6093i −0.194848 0.980833i
\(118\) −6.81763 −0.627614
\(119\) −0.768361 + 1.69490i −0.0704355 + 0.155371i
\(120\) −3.31185 + 6.75724i −0.302330 + 0.616849i
\(121\) 7.34101i 0.667364i
\(122\) 9.95090 + 2.66633i 0.900912 + 0.241399i
\(123\) −1.59290 4.65522i −0.143627 0.419747i
\(124\) 5.32026 5.32026i 0.477773 0.477773i
\(125\) −27.2691 27.2691i −2.43902 2.43902i
\(126\) −7.93413 0.222633i −0.706829 0.0198337i
\(127\) 9.30962 + 5.37491i 0.826095 + 0.476946i 0.852514 0.522705i \(-0.175077\pi\)
−0.0264185 + 0.999651i \(0.508410\pi\)
\(128\) −0.258819 + 0.965926i −0.0228766 + 0.0853766i
\(129\) 5.48752 3.68602i 0.483149 0.324536i
\(130\) 15.6365 0.944478i 1.37141 0.0828362i
\(131\) −16.3398 9.43381i −1.42762 0.824235i −0.430685 0.902502i \(-0.641728\pi\)
−0.996932 + 0.0782669i \(0.975061\pi\)
\(132\) −1.07262 3.13472i −0.0933596 0.272842i
\(133\) 7.27277 + 5.97107i 0.630629 + 0.517757i
\(134\) 1.33911 + 2.31940i 0.115681 + 0.200366i
\(135\) 10.1327 + 20.1739i 0.872084 + 1.73629i
\(136\) 0.679398 0.182044i 0.0582579 0.0156102i
\(137\) 0.822183 0.220303i 0.0702438 0.0188218i −0.223526 0.974698i \(-0.571757\pi\)
0.293770 + 0.955876i \(0.405090\pi\)
\(138\) 1.02528 + 2.99636i 0.0872774 + 0.255067i
\(139\) −5.07478 8.78979i −0.430438 0.745540i 0.566473 0.824080i \(-0.308307\pi\)
−0.996911 + 0.0785402i \(0.974974\pi\)
\(140\) 1.87476 11.3410i 0.158446 0.958491i
\(141\) −0.744709 + 0.254820i −0.0627158 + 0.0214598i
\(142\) −11.4390 6.60434i −0.959944 0.554224i
\(143\) −4.57392 + 5.16199i −0.382490 + 0.431667i
\(144\) 1.83786 + 2.37113i 0.153155 + 0.197594i
\(145\) −8.56573 + 31.9678i −0.711346 + 2.65478i
\(146\) −12.2911 7.09629i −1.01722 0.587293i
\(147\) 11.7048 3.16182i 0.965398 0.260782i
\(148\) 1.04802 + 1.04802i 0.0861468 + 0.0861468i
\(149\) 14.7603 14.7603i 1.20921 1.20921i 0.237931 0.971282i \(-0.423531\pi\)
0.971282 0.237931i \(-0.0764691\pi\)
\(150\) −22.7399 + 7.78102i −1.85671 + 0.635318i
\(151\) 4.44000 + 1.18969i 0.361322 + 0.0968159i 0.434913 0.900473i \(-0.356779\pi\)
−0.0735909 + 0.997289i \(0.523446\pi\)
\(152\) 3.55662i 0.288480i
\(153\) 0.797987 1.95339i 0.0645134 0.157922i
\(154\) 2.94704 + 4.11435i 0.237480 + 0.331544i
\(155\) 32.6893 2.62567
\(156\) 2.40533 5.76319i 0.192581 0.461425i
\(157\) 5.46618 + 9.46769i 0.436248 + 0.755604i 0.997397 0.0721111i \(-0.0229736\pi\)
−0.561148 + 0.827715i \(0.689640\pi\)
\(158\) −0.219766 + 0.219766i −0.0174837 + 0.0174837i
\(159\) 11.5612 7.76575i 0.916860 0.615864i
\(160\) −3.76260 + 2.17234i −0.297460 + 0.171738i
\(161\) −2.81697 3.93275i −0.222008 0.309944i
\(162\) 8.99957 0.0877318i 0.707073 0.00689286i
\(163\) 6.59866 6.59866i 0.516847 0.516847i −0.399769 0.916616i \(-0.630910\pi\)
0.916616 + 0.399769i \(0.130910\pi\)
\(164\) 0.735223 2.74389i 0.0574112 0.214262i
\(165\) 6.33508 12.9256i 0.493185 1.00625i
\(166\) 1.18890 0.686411i 0.0922765 0.0532759i
\(167\) 9.37699 2.51256i 0.725614 0.194428i 0.122939 0.992414i \(-0.460768\pi\)
0.602675 + 0.797987i \(0.294102\pi\)
\(168\) −3.73089 2.66092i −0.287844 0.205294i
\(169\) −12.9055 + 1.56475i −0.992730 + 0.120365i
\(170\) 2.64648 + 1.52795i 0.202976 + 0.117188i
\(171\) −8.49653 6.45406i −0.649746 0.493555i
\(172\) 3.81661 0.291014
\(173\) 5.30084 0.403015 0.201508 0.979487i \(-0.435416\pi\)
0.201508 + 0.979487i \(0.435416\pi\)
\(174\) 9.94083 + 8.67511i 0.753613 + 0.657658i
\(175\) 29.8464 21.3785i 2.25617 1.61606i
\(176\) 0.495082 1.84767i 0.0373182 0.139273i
\(177\) −11.1725 + 3.82295i −0.839778 + 0.287351i
\(178\) −6.16573 + 10.6793i −0.462141 + 0.800451i
\(179\) −12.2235 −0.913630 −0.456815 0.889562i \(-0.651010\pi\)
−0.456815 + 0.889562i \(0.651010\pi\)
\(180\) −1.63828 + 12.9307i −0.122110 + 0.963795i
\(181\) 0.772809i 0.0574424i 0.999587 + 0.0287212i \(0.00914351\pi\)
−0.999587 + 0.0287212i \(0.990856\pi\)
\(182\) −0.985542 + 9.48835i −0.0730532 + 0.703323i
\(183\) 17.8024 1.21041i 1.31599 0.0894758i
\(184\) −0.473230 + 1.76612i −0.0348870 + 0.130200i
\(185\) 6.43935i 0.473431i
\(186\) 5.73537 11.7020i 0.420538 0.858031i
\(187\) −1.29959 + 0.348223i −0.0950352 + 0.0254646i
\(188\) −0.438948 0.117616i −0.0320136 0.00857801i
\(189\) −13.1271 + 4.08418i −0.954852 + 0.297080i
\(190\) 10.9265 10.9265i 0.792690 0.792690i
\(191\) 12.6770i 0.917274i 0.888624 + 0.458637i \(0.151662\pi\)
−0.888624 + 0.458637i \(0.848338\pi\)
\(192\) 0.117493 + 1.72806i 0.00847934 + 0.124712i
\(193\) −1.42433 + 1.42433i −0.102525 + 0.102525i −0.756509 0.653983i \(-0.773097\pi\)
0.653983 + 0.756509i \(0.273097\pi\)
\(194\) −4.21752 + 7.30496i −0.302800 + 0.524465i
\(195\) 25.0949 10.3158i 1.79709 0.738733i
\(196\) 6.62760 + 2.25275i 0.473400 + 0.160911i
\(197\) 1.77065 + 6.60816i 0.126154 + 0.470812i 0.999878 0.0156093i \(-0.00496879\pi\)
−0.873725 + 0.486421i \(0.838302\pi\)
\(198\) −3.51555 4.53561i −0.249840 0.322332i
\(199\) −17.7513 10.2487i −1.25836 0.726513i −0.285602 0.958348i \(-0.592194\pi\)
−0.972755 + 0.231835i \(0.925527\pi\)
\(200\) −13.4034 3.59143i −0.947763 0.253952i
\(201\) 3.49508 + 3.05007i 0.246524 + 0.215135i
\(202\) −15.4638 4.14352i −1.08803 0.291537i
\(203\) −18.3558 8.32138i −1.28833 0.584046i
\(204\) 1.01130 0.679298i 0.0708049 0.0475603i
\(205\) 10.6884 6.17092i 0.746507 0.430996i
\(206\) −0.397963 0.397963i −0.0277274 0.0277274i
\(207\) 3.36039 + 4.33542i 0.233563 + 0.301333i
\(208\) 3.00812 1.98776i 0.208576 0.137826i
\(209\) 6.80328i 0.470593i
\(210\) −3.28712 19.6366i −0.226833 1.35505i
\(211\) −6.47471 + 11.2145i −0.445737 + 0.772040i −0.998103 0.0615620i \(-0.980392\pi\)
0.552366 + 0.833602i \(0.313725\pi\)
\(212\) 8.04089 0.552250
\(213\) −22.4493 4.40860i −1.53820 0.302072i
\(214\) −10.0385 + 2.68980i −0.686215 + 0.183871i
\(215\) 11.7252 + 11.7252i 0.799652 + 0.799652i
\(216\) 4.34143 + 2.85516i 0.295397 + 0.194269i
\(217\) −3.24666 + 19.6401i −0.220398 + 1.33325i
\(218\) −4.20749 + 7.28759i −0.284967 + 0.493578i
\(219\) −24.1215 4.73699i −1.62998 0.320096i
\(220\) 7.19729 4.15536i 0.485241 0.280154i
\(221\) −2.26871 1.13328i −0.152610 0.0762330i
\(222\) 2.30514 + 1.12979i 0.154711 + 0.0758267i
\(223\) −11.0922 + 2.97214i −0.742788 + 0.199029i −0.610317 0.792157i \(-0.708958\pi\)
−0.132471 + 0.991187i \(0.542291\pi\)
\(224\) −0.931466 2.47636i −0.0622362 0.165459i
\(225\) −32.9023 + 25.5026i −2.19349 + 1.70017i
\(226\) −13.5511 + 3.63100i −0.901405 + 0.241531i
\(227\) −1.90921 7.12528i −0.126719 0.472922i 0.873176 0.487405i \(-0.162056\pi\)
−0.999895 + 0.0144831i \(0.995390\pi\)
\(228\) −1.99436 5.82848i −0.132079 0.386001i
\(229\) 3.77001 + 14.0699i 0.249129 + 0.929762i 0.971263 + 0.238009i \(0.0764948\pi\)
−0.722134 + 0.691753i \(0.756839\pi\)
\(230\) −6.87962 + 3.97195i −0.453628 + 0.261903i
\(231\) 7.13663 + 5.08993i 0.469556 + 0.334893i
\(232\) 1.97155 + 7.35791i 0.129438 + 0.483071i
\(233\) 11.3337 19.6305i 0.742493 1.28603i −0.208865 0.977945i \(-0.566977\pi\)
0.951357 0.308090i \(-0.0996899\pi\)
\(234\) 0.710107 10.7933i 0.0464211 0.705581i
\(235\) −0.987180 1.70985i −0.0643965 0.111538i
\(236\) −6.58533 1.76453i −0.428668 0.114861i
\(237\) −0.236913 + 0.483379i −0.0153892 + 0.0313989i
\(238\) −1.18085 + 1.43828i −0.0765432 + 0.0932298i
\(239\) 3.33310 3.33310i 0.215600 0.215600i −0.591041 0.806641i \(-0.701283\pi\)
0.806641 + 0.591041i \(0.201283\pi\)
\(240\) −4.94791 + 5.66982i −0.319386 + 0.365985i
\(241\) −2.72052 10.1531i −0.175244 0.654019i −0.996510 0.0834739i \(-0.973398\pi\)
0.821266 0.570546i \(-0.193268\pi\)
\(242\) 1.89999 7.09087i 0.122136 0.455818i
\(243\) 14.6990 5.19024i 0.942943 0.332954i
\(244\) 8.92173 + 5.15096i 0.571155 + 0.329757i
\(245\) 13.4402 + 27.2818i 0.858662 + 1.74297i
\(246\) −0.333761 4.90887i −0.0212798 0.312978i
\(247\) −8.50443 + 9.59785i −0.541124 + 0.610697i
\(248\) 6.51596 3.76199i 0.413764 0.238887i
\(249\) 1.56343 1.79154i 0.0990784 0.113534i
\(250\) −19.2822 33.3977i −1.21951 2.11225i
\(251\) −4.52381 7.83547i −0.285540 0.494570i 0.687200 0.726468i \(-0.258840\pi\)
−0.972740 + 0.231898i \(0.925506\pi\)
\(252\) −7.60616 2.26855i −0.479143 0.142905i
\(253\) 0.905218 3.37832i 0.0569105 0.212393i
\(254\) 7.60127 + 7.60127i 0.476946 + 0.476946i
\(255\) 5.19376 + 1.01995i 0.325246 + 0.0638718i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 6.86346 + 11.8879i 0.428131 + 0.741544i 0.996707 0.0810865i \(-0.0258390\pi\)
−0.568576 + 0.822630i \(0.692506\pi\)
\(258\) 6.25454 2.14014i 0.389391 0.133240i
\(259\) −3.86883 0.639549i −0.240397 0.0397396i
\(260\) 15.3481 + 3.13472i 0.951849 + 0.194407i
\(261\) 21.1553 + 8.64223i 1.30948 + 0.534941i
\(262\) −13.3414 13.3414i −0.824235 0.824235i
\(263\) 22.3462i 1.37793i 0.724796 + 0.688963i \(0.241934\pi\)
−0.724796 + 0.688963i \(0.758066\pi\)
\(264\) −0.224747 3.30552i −0.0138322 0.203441i
\(265\) 24.7028 + 24.7028i 1.51748 + 1.51748i
\(266\) 5.47953 + 7.64994i 0.335972 + 0.469048i
\(267\) −4.11581 + 20.9584i −0.251884 + 1.28263i
\(268\) 0.693173 + 2.58696i 0.0423423 + 0.158023i
\(269\) −23.1251 13.3513i −1.40996 0.814041i −0.414576 0.910014i \(-0.636070\pi\)
−0.995384 + 0.0959735i \(0.969404\pi\)
\(270\) 4.56604 + 22.1090i 0.277881 + 1.34551i
\(271\) 21.5953 + 5.78645i 1.31182 + 0.351502i 0.845909 0.533328i \(-0.179059\pi\)
0.465914 + 0.884830i \(0.345725\pi\)
\(272\) 0.703365 0.0426478
\(273\) 3.70546 + 16.1018i 0.224265 + 0.974528i
\(274\) 0.851187 0.0514221
\(275\) 25.6387 + 6.86986i 1.54607 + 0.414268i
\(276\) 0.214827 + 3.15962i 0.0129311 + 0.190187i
\(277\) −18.1674 10.4889i −1.09157 0.630219i −0.157577 0.987507i \(-0.550368\pi\)
−0.933995 + 0.357287i \(0.883702\pi\)
\(278\) −2.62690 9.80373i −0.157551 0.587989i
\(279\) 2.83712 22.3929i 0.169854 1.34063i
\(280\) 4.74616 10.4694i 0.283637 0.625664i
\(281\) 7.69733 + 7.69733i 0.459184 + 0.459184i 0.898388 0.439203i \(-0.144739\pi\)
−0.439203 + 0.898388i \(0.644739\pi\)
\(282\) −0.785286 + 0.0533927i −0.0467631 + 0.00317949i
\(283\) 13.9199i 0.827453i −0.910401 0.413726i \(-0.864227\pi\)
0.910401 0.413726i \(-0.135773\pi\)
\(284\) −9.33994 9.33994i −0.554224 0.554224i
\(285\) 11.7790 24.0329i 0.697728 1.42359i
\(286\) −5.75409 + 3.80228i −0.340246 + 0.224834i
\(287\) 2.64600 + 7.03456i 0.156188 + 0.415237i
\(288\) 1.16155 + 2.76601i 0.0684447 + 0.162989i
\(289\) 8.25264 + 14.2940i 0.485449 + 0.840823i
\(290\) −16.5477 + 28.6615i −0.971716 + 1.68306i
\(291\) −2.81532 + 14.3361i −0.165037 + 0.840397i
\(292\) −10.0357 10.0357i −0.587293 0.587293i
\(293\) −3.30757 + 12.3440i −0.193230 + 0.721145i 0.799488 + 0.600682i \(0.205104\pi\)
−0.992718 + 0.120462i \(0.961562\pi\)
\(294\) 12.1243 0.0246502i 0.707105 0.00143763i
\(295\) −14.8102 25.6520i −0.862283 1.49352i
\(296\) 0.741062 + 1.28356i 0.0430734 + 0.0746053i
\(297\) −8.30451 5.46150i −0.481876 0.316908i
\(298\) 18.0776 10.4371i 1.04721 0.604606i
\(299\) 5.50012 3.63446i 0.318080 0.210186i
\(300\) −23.9790 + 1.63036i −1.38443 + 0.0941290i
\(301\) −8.20915 + 5.88009i −0.473168 + 0.338923i
\(302\) 3.98079 + 2.29831i 0.229069 + 0.132253i
\(303\) −27.6651 + 1.88099i −1.58932 + 0.108060i
\(304\) 0.920521 3.43543i 0.0527955 0.197035i
\(305\) 11.5844 + 43.2334i 0.663319 + 2.47554i
\(306\) 1.27637 1.68029i 0.0729652 0.0960559i
\(307\) 14.4885 14.4885i 0.826902 0.826902i −0.160185 0.987087i \(-0.551209\pi\)
0.987087 + 0.160185i \(0.0512092\pi\)
\(308\) 1.78175 + 4.73691i 0.101525 + 0.269910i
\(309\) −0.875326 0.429014i −0.0497956 0.0244058i
\(310\) 31.5754 + 8.46061i 1.79336 + 0.480530i
\(311\) 13.5468 + 23.4638i 0.768170 + 1.33051i 0.938554 + 0.345132i \(0.112166\pi\)
−0.170384 + 0.985378i \(0.554501\pi\)
\(312\) 3.81500 4.94427i 0.215982 0.279914i
\(313\) 0.0972614 0.168462i 0.00549754 0.00952202i −0.863264 0.504753i \(-0.831583\pi\)
0.868761 + 0.495231i \(0.164917\pi\)
\(314\) 2.82950 + 10.5598i 0.159678 + 0.595926i
\(315\) −16.3979 30.3366i −0.923919 1.70927i
\(316\) −0.269158 + 0.155398i −0.0151413 + 0.00874184i
\(317\) 2.25773 + 8.42596i 0.126807 + 0.473249i 0.999898 0.0143085i \(-0.00455468\pi\)
−0.873091 + 0.487557i \(0.837888\pi\)
\(318\) 13.1772 4.50889i 0.738938 0.252846i
\(319\) −3.77127 14.0746i −0.211151 0.788025i
\(320\) −4.19664 + 1.12449i −0.234599 + 0.0628606i
\(321\) −14.9424 + 10.0370i −0.834006 + 0.560209i
\(322\) −1.70311 4.52783i −0.0949107 0.252326i
\(323\) −2.41636 + 0.647462i −0.134450 + 0.0360258i
\(324\) 8.71563 + 2.24452i 0.484201 + 0.124695i
\(325\) 27.5826 + 41.7414i 1.53001 + 2.31540i
\(326\) 8.08167 4.66596i 0.447602 0.258423i
\(327\) −2.80863 + 14.3020i −0.155318 + 0.790903i
\(328\) 1.42034 2.46010i 0.0784252 0.135836i
\(329\) 1.12534 0.423288i 0.0620419 0.0233366i
\(330\) 9.46460 10.8455i 0.521009 0.597026i
\(331\) 20.3694 + 20.3694i 1.11961 + 1.11961i 0.991799 + 0.127807i \(0.0407937\pi\)
0.127807 + 0.991799i \(0.459206\pi\)
\(332\) 1.32604 0.355313i 0.0727762 0.0195003i
\(333\) 4.41111 + 0.558875i 0.241727 + 0.0306262i
\(334\) 9.70778 0.531186
\(335\) −5.81799 + 10.0770i −0.317871 + 0.550568i
\(336\) −2.91507 3.53587i −0.159030 0.192898i
\(337\) 1.00336i 0.0546566i −0.999627 0.0273283i \(-0.991300\pi\)
0.999627 0.0273283i \(-0.00869995\pi\)
\(338\) −12.8707 1.82875i −0.700075 0.0994710i
\(339\) −20.1710 + 13.5491i −1.09554 + 0.735885i
\(340\) 2.16084 + 2.16084i 0.117188 + 0.117188i
\(341\) −12.4641 + 7.19612i −0.674966 + 0.389692i
\(342\) −6.53658 8.43321i −0.353458 0.456016i
\(343\) −17.7260 + 5.36541i −0.957116 + 0.289705i
\(344\) 3.68656 + 0.987812i 0.198766 + 0.0532592i
\(345\) −9.04686 + 10.3668i −0.487066 + 0.558131i
\(346\) 5.12022 + 1.37196i 0.275265 + 0.0737569i
\(347\) 20.9701 + 12.1071i 1.12574 + 0.649944i 0.942859 0.333192i \(-0.108126\pi\)
0.182877 + 0.983136i \(0.441459\pi\)
\(348\) 7.35682 + 10.9524i 0.394367 + 0.587110i
\(349\) −1.03946 3.87933i −0.0556411 0.207656i 0.932509 0.361147i \(-0.117615\pi\)
−0.988150 + 0.153492i \(0.950948\pi\)
\(350\) 34.3625 12.9252i 1.83676 0.690882i
\(351\) −4.88860 18.0860i −0.260934 0.965357i
\(352\) 0.956425 1.65658i 0.0509776 0.0882958i
\(353\) −9.93251 + 9.93251i −0.528654 + 0.528654i −0.920171 0.391517i \(-0.871950\pi\)
0.391517 + 0.920171i \(0.371950\pi\)
\(354\) −11.7813 + 0.801025i −0.626168 + 0.0425740i
\(355\) 57.3874i 3.04581i
\(356\) −8.71965 + 8.71965i −0.462141 + 0.462141i
\(357\) −1.12864 + 3.01916i −0.0597337 + 0.159791i
\(358\) −11.8070 3.16368i −0.624021 0.167206i
\(359\) 14.7324 3.94752i 0.777544 0.208342i 0.151843 0.988405i \(-0.451479\pi\)
0.625702 + 0.780062i \(0.284813\pi\)
\(360\) −4.92916 + 12.0660i −0.259789 + 0.635936i
\(361\) 6.35046i 0.334234i
\(362\) −0.200018 + 0.746476i −0.0105127 + 0.0392339i
\(363\) −0.862519 12.6857i −0.0452705 0.665827i
\(364\) −3.40773 + 8.90996i −0.178613 + 0.467009i
\(365\) 61.6622i 3.22755i
\(366\) 17.5090 + 3.43843i 0.915212 + 0.179729i
\(367\) 19.0750 0.995707 0.497853 0.867261i \(-0.334122\pi\)
0.497853 + 0.867261i \(0.334122\pi\)
\(368\) −0.914210 + 1.58346i −0.0476565 + 0.0825435i
\(369\) −3.29958 7.85735i −0.171769 0.409038i
\(370\) −1.66663 + 6.21994i −0.0866438 + 0.323359i
\(371\) −17.2952 + 12.3882i −0.897920 + 0.643166i
\(372\) 8.56864 9.81883i 0.444263 0.509083i
\(373\) −20.6207 −1.06770 −0.533851 0.845579i \(-0.679256\pi\)
−0.533851 + 0.845579i \(0.679256\pi\)
\(374\) −1.34543 −0.0695706
\(375\) −50.3266 43.9187i −2.59885 2.26795i
\(376\) −0.393550 0.227216i −0.0202958 0.0117178i
\(377\) 12.2735 24.5702i 0.632119 1.26543i
\(378\) −13.7368 + 0.547483i −0.706546 + 0.0281595i
\(379\) 28.8905 7.74120i 1.48401 0.397639i 0.576299 0.817239i \(-0.304496\pi\)
0.907709 + 0.419600i \(0.137830\pi\)
\(380\) 13.3821 7.72618i 0.686489 0.396345i
\(381\) 16.7191 + 8.19436i 0.856546 + 0.419810i
\(382\) −3.28104 + 12.2450i −0.167873 + 0.626510i
\(383\) 19.2054 19.2054i 0.981351 0.981351i −0.0184784 0.999829i \(-0.505882\pi\)
0.999829 + 0.0184784i \(0.00588218\pi\)
\(384\) −0.333765 + 1.69959i −0.0170324 + 0.0867318i
\(385\) −9.07868 + 20.0263i −0.462692 + 1.02064i
\(386\) −1.74444 + 1.00715i −0.0887895 + 0.0512627i
\(387\) 9.04968 7.01441i 0.460021 0.356562i
\(388\) −5.96447 + 5.96447i −0.302800 + 0.302800i
\(389\) 3.66874 + 6.35444i 0.186012 + 0.322183i 0.943917 0.330182i \(-0.107110\pi\)
−0.757905 + 0.652365i \(0.773777\pi\)
\(390\) 26.9098 3.46929i 1.36263 0.175675i
\(391\) 1.28605 0.0650382
\(392\) 5.81872 + 3.89134i 0.293890 + 0.196542i
\(393\) −29.3446 14.3824i −1.48024 0.725495i
\(394\) 6.84127i 0.344658i
\(395\) −1.30430 0.349486i −0.0656264 0.0175846i
\(396\) −2.22186 5.29096i −0.111653 0.265881i
\(397\) −3.98862 + 3.98862i −0.200183 + 0.200183i −0.800078 0.599895i \(-0.795209\pi\)
0.599895 + 0.800078i \(0.295209\pi\)
\(398\) −14.4939 14.4939i −0.726513 0.726513i
\(399\) 13.2694 + 9.46387i 0.664298 + 0.473786i
\(400\) −12.0172 6.93811i −0.600858 0.346905i
\(401\) 3.99356 14.9042i 0.199429 0.744278i −0.791647 0.610979i \(-0.790776\pi\)
0.991076 0.133300i \(-0.0425573\pi\)
\(402\) 2.58657 + 3.85073i 0.129006 + 0.192057i
\(403\) −26.5794 5.42861i −1.32401 0.270418i
\(404\) −13.8645 8.00466i −0.689783 0.398247i
\(405\) 19.8802 + 33.6712i 0.987856 + 1.67314i
\(406\) −15.5766 12.7887i −0.773055 0.634691i
\(407\) −1.41754 2.45525i −0.0702649 0.121702i
\(408\) 1.15265 0.394408i 0.0570648 0.0195261i
\(409\) −0.0271377 + 0.00727153i −0.00134187 + 0.000359554i −0.259490 0.965746i \(-0.583554\pi\)
0.258148 + 0.966105i \(0.416888\pi\)
\(410\) 11.9213 3.19430i 0.588751 0.157755i
\(411\) 1.39490 0.477299i 0.0688053 0.0235434i
\(412\) −0.281403 0.487403i −0.0138637 0.0240126i
\(413\) 16.8829 6.35039i 0.830754 0.312482i
\(414\) 2.12379 + 5.05743i 0.104379 + 0.248559i
\(415\) 5.16538 + 2.98224i 0.253559 + 0.146392i
\(416\) 3.42010 1.14147i 0.167684 0.0559651i
\(417\) −9.80228 14.5930i −0.480020 0.714624i
\(418\) −1.76082 + 6.57146i −0.0861244 + 0.321421i
\(419\) 9.40071 + 5.42750i 0.459255 + 0.265151i 0.711731 0.702452i \(-0.247912\pi\)
−0.252476 + 0.967603i \(0.581245\pi\)
\(420\) 1.90721 19.8183i 0.0930624 0.967032i
\(421\) 15.2184 + 15.2184i 0.741700 + 0.741700i 0.972905 0.231205i \(-0.0742668\pi\)
−0.231205 + 0.972905i \(0.574267\pi\)
\(422\) −9.15662 + 9.15662i −0.445737 + 0.445737i
\(423\) −1.25696 + 0.527844i −0.0611157 + 0.0256646i
\(424\) 7.76690 + 2.08113i 0.377194 + 0.101069i
\(425\) 9.76005i 0.473432i
\(426\) −20.5433 10.0687i −0.995328 0.487830i
\(427\) −27.1256 + 2.66611i −1.31270 + 0.129022i
\(428\) −10.3926 −0.502345
\(429\) −7.29751 + 9.45764i −0.352327 + 0.456619i
\(430\) 8.29097 + 14.3604i 0.399826 + 0.692519i
\(431\) 17.0428 17.0428i 0.820924 0.820924i −0.165316 0.986241i \(-0.552864\pi\)
0.986241 + 0.165316i \(0.0528645\pi\)
\(432\) 3.45453 + 3.88152i 0.166206 + 0.186750i
\(433\) −2.73877 + 1.58123i −0.131617 + 0.0759891i −0.564363 0.825527i \(-0.690878\pi\)
0.432746 + 0.901516i \(0.357545\pi\)
\(434\) −8.21925 + 18.1305i −0.394537 + 0.870294i
\(435\) −11.0461 + 56.2487i −0.529621 + 2.69692i
\(436\) −5.95029 + 5.95029i −0.284967 + 0.284967i
\(437\) 1.68310 6.28141i 0.0805136 0.300481i
\(438\) −22.0736 10.8187i −1.05472 0.516937i
\(439\) −14.7347 + 8.50708i −0.703249 + 0.406021i −0.808556 0.588419i \(-0.799751\pi\)
0.105307 + 0.994440i \(0.466417\pi\)
\(440\) 8.02753 2.15097i 0.382698 0.102543i
\(441\) 19.8552 6.83905i 0.945484 0.325669i
\(442\) −1.89809 1.68185i −0.0902830 0.0799977i
\(443\) 4.31236 + 2.48974i 0.204886 + 0.118291i 0.598933 0.800799i \(-0.295592\pi\)
−0.394046 + 0.919091i \(0.628925\pi\)
\(444\) 1.93418 + 1.68791i 0.0917921 + 0.0801046i
\(445\) −53.5762 −2.53975
\(446\) −11.4835 −0.543759
\(447\) 23.7725 27.2410i 1.12440 1.28845i
\(448\) −0.258797 2.63306i −0.0122270 0.124401i
\(449\) −8.91938 + 33.2876i −0.420932 + 1.57094i 0.351718 + 0.936106i \(0.385598\pi\)
−0.772650 + 0.634832i \(0.781069\pi\)
\(450\) −38.3818 + 16.1179i −1.80933 + 0.759803i
\(451\) −2.71690 + 4.70580i −0.127934 + 0.221588i
\(452\) −14.0291 −0.659874
\(453\) 7.81237 + 1.53419i 0.367057 + 0.0720827i
\(454\) 7.37664i 0.346203i
\(455\) −37.8418 + 16.9037i −1.77405 + 0.792458i
\(456\) −0.417879 6.14606i −0.0195690 0.287815i
\(457\) −0.510419 + 1.90491i −0.0238764 + 0.0891079i −0.976836 0.213990i \(-0.931354\pi\)
0.952960 + 0.303098i \(0.0980208\pi\)
\(458\) 14.5662i 0.680633i
\(459\) 1.14946 3.46933i 0.0536522 0.161934i
\(460\) −7.67322 + 2.05603i −0.357766 + 0.0958630i
\(461\) 13.1727 + 3.52962i 0.613515 + 0.164391i 0.552178 0.833726i \(-0.313797\pi\)
0.0613369 + 0.998117i \(0.480464\pi\)
\(462\) 5.57608 + 6.76359i 0.259423 + 0.314671i
\(463\) 5.51839 5.51839i 0.256461 0.256461i −0.567152 0.823613i \(-0.691955\pi\)
0.823613 + 0.567152i \(0.191955\pi\)
\(464\) 7.61747i 0.353632i
\(465\) 56.4891 3.84077i 2.61962 0.178111i
\(466\) 16.0282 16.0282i 0.742493 0.742493i
\(467\) −7.36371 + 12.7543i −0.340752 + 0.590200i −0.984573 0.174977i \(-0.944015\pi\)
0.643821 + 0.765177i \(0.277348\pi\)
\(468\) 3.47943 10.2418i 0.160837 0.473425i
\(469\) −5.47656 4.49635i −0.252884 0.207622i
\(470\) −0.511002 1.90709i −0.0235708 0.0879673i
\(471\) 10.5583 + 15.7185i 0.486500 + 0.724271i
\(472\) −5.90424 3.40882i −0.271765 0.156903i
\(473\) −7.05184 1.88953i −0.324244 0.0868809i
\(474\) −0.353949 + 0.405591i −0.0162574 + 0.0186294i
\(475\) 47.6708 + 12.7734i 2.18729 + 0.586082i
\(476\) −1.51287 + 1.08364i −0.0693422 + 0.0496687i
\(477\) 19.0660 14.7780i 0.872972 0.676640i
\(478\) 4.08220 2.35686i 0.186715 0.107800i
\(479\) −12.1470 12.1470i −0.555009 0.555009i 0.372874 0.927882i \(-0.378373\pi\)
−0.927882 + 0.372874i \(0.878373\pi\)
\(480\) −6.24677 + 4.19601i −0.285125 + 0.191521i
\(481\) 1.06936 5.23579i 0.0487588 0.238731i
\(482\) 10.5113i 0.478775i
\(483\) −5.32997 6.46506i −0.242522 0.294170i
\(484\) 3.67050 6.35750i 0.166841 0.288977i
\(485\) −36.6475 −1.66408
\(486\) 15.5415 1.20899i 0.704977 0.0548411i
\(487\) 12.6766 3.39668i 0.574431 0.153918i 0.0401029 0.999196i \(-0.487231\pi\)
0.534328 + 0.845277i \(0.320565\pi\)
\(488\) 7.28456 + 7.28456i 0.329757 + 0.329757i
\(489\) 10.6276 12.1782i 0.480596 0.550716i
\(490\) 5.92118 + 29.8308i 0.267492 + 1.34762i
\(491\) 3.28493 5.68966i 0.148247 0.256771i −0.782333 0.622861i \(-0.785970\pi\)
0.930579 + 0.366090i \(0.119304\pi\)
\(492\) 0.948121 4.82799i 0.0427446 0.217663i
\(493\) 4.64004 2.67893i 0.208977 0.120653i
\(494\) −10.6988 + 7.06970i −0.481360 + 0.318081i
\(495\) 9.42873 23.0805i 0.423790 1.03739i
\(496\) 7.26761 1.94735i 0.326325 0.0874386i
\(497\) 34.4789 + 5.69965i 1.54659 + 0.255664i
\(498\) 1.97384 1.32585i 0.0884500 0.0594127i
\(499\) −33.9764 + 9.10395i −1.52099 + 0.407549i −0.920069 0.391757i \(-0.871867\pi\)
−0.600925 + 0.799306i \(0.705201\pi\)
\(500\) −9.98118 37.2503i −0.446372 1.66588i
\(501\) 15.9088 5.44359i 0.710753 0.243202i
\(502\) −2.34170 8.73933i −0.104515 0.390055i
\(503\) −16.1705 + 9.33603i −0.721006 + 0.416273i −0.815123 0.579288i \(-0.803331\pi\)
0.0941167 + 0.995561i \(0.469997\pi\)
\(504\) −6.75984 4.15987i −0.301107 0.185295i
\(505\) −18.0022 67.1853i −0.801089 2.98971i
\(506\) 1.74875 3.02892i 0.0777413 0.134652i
\(507\) −22.1176 + 4.22029i −0.982278 + 0.187430i
\(508\) 5.37491 + 9.30962i 0.238473 + 0.413048i
\(509\) −27.2472 7.30085i −1.20771 0.323605i −0.401846 0.915707i \(-0.631631\pi\)
−0.805863 + 0.592103i \(0.798298\pi\)
\(510\) 4.75280 + 2.32944i 0.210458 + 0.103149i
\(511\) 37.0472 + 6.12421i 1.63887 + 0.270919i
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) −15.4408 10.1547i −0.681729 0.448342i
\(514\) 3.55279 + 13.2592i 0.156707 + 0.584837i
\(515\) 0.632866 2.36189i 0.0278874 0.104077i
\(516\) 6.59534 0.448426i 0.290344 0.0197408i
\(517\) 0.752801 + 0.434630i 0.0331082 + 0.0191150i
\(518\) −3.57147 1.61908i −0.156922 0.0711384i
\(519\) 9.16017 0.622813i 0.402087 0.0273384i
\(520\) 14.0138 + 7.00029i 0.614546 + 0.306983i
\(521\) 26.7604 15.4501i 1.17239 0.676881i 0.218151 0.975915i \(-0.429998\pi\)
0.954243 + 0.299034i \(0.0966643\pi\)
\(522\) 18.1976 + 13.8231i 0.796489 + 0.605022i
\(523\) 13.0710 + 22.6396i 0.571553 + 0.989958i 0.996407 + 0.0846966i \(0.0269921\pi\)
−0.424854 + 0.905262i \(0.639675\pi\)
\(524\) −9.43381 16.3398i −0.412118 0.713809i
\(525\) 49.0645 40.4501i 2.14135 1.76539i
\(526\) −5.78363 + 21.5848i −0.252178 + 0.941141i
\(527\) −3.74208 3.74208i −0.163008 0.163008i
\(528\) 0.638443 3.25106i 0.0277847 0.141484i
\(529\) 9.82844 17.0234i 0.427323 0.740146i
\(530\) 17.4675 + 30.2546i 0.758741 + 1.31418i
\(531\) −18.8576 + 7.91899i −0.818352 + 0.343655i
\(532\) 3.31287 + 8.80748i 0.143631 + 0.381853i
\(533\) −9.71540 + 3.24255i −0.420821 + 0.140450i
\(534\) −9.40000 + 19.1790i −0.406778 + 0.829956i
\(535\) −31.9276 31.9276i −1.38035 1.38035i
\(536\) 2.67821i 0.115681i
\(537\) −21.1230 + 1.43618i −0.911526 + 0.0619759i
\(538\) −18.8815 18.8815i −0.814041 0.814041i
\(539\) −11.1303 7.44355i −0.479417 0.320616i
\(540\) −1.31178 + 22.5375i −0.0564499 + 0.969858i
\(541\) −2.24375 8.37380i −0.0964665 0.360018i 0.900771 0.434294i \(-0.143002\pi\)
−0.997238 + 0.0742761i \(0.976335\pi\)
\(542\) 19.3618 + 11.1786i 0.831663 + 0.480161i
\(543\) 0.0907998 + 1.33546i 0.00389659 + 0.0573101i
\(544\) 0.679398 + 0.182044i 0.0291290 + 0.00780508i
\(545\) −36.5604 −1.56608
\(546\) −0.588261 + 16.5122i −0.0251752 + 0.706658i
\(547\) −34.8587 −1.49045 −0.745225 0.666813i \(-0.767658\pi\)
−0.745225 + 0.666813i \(0.767658\pi\)
\(548\) 0.822183 + 0.220303i 0.0351219 + 0.00941089i
\(549\) 30.6213 4.18331i 1.30689 0.178539i
\(550\) 22.9870 + 13.2716i 0.980169 + 0.565901i
\(551\) −7.01204 26.1693i −0.298723 1.11485i
\(552\) −0.610263 + 3.10756i −0.0259745 + 0.132267i
\(553\) 0.339516 0.748926i 0.0144377 0.0318476i
\(554\) −14.8336 14.8336i −0.630219 0.630219i
\(555\) 0.756581 + 11.1276i 0.0321151 + 0.472340i
\(556\) 10.1496i 0.430438i
\(557\) 17.3299 + 17.3299i 0.734289 + 0.734289i 0.971466 0.237177i \(-0.0762221\pi\)
−0.237177 + 0.971466i \(0.576222\pi\)
\(558\) 8.53617 20.8956i 0.361365 0.884582i
\(559\) −7.58650 11.4808i −0.320875 0.485588i
\(560\) 7.29410 8.88423i 0.308232 0.375427i
\(561\) −2.20485 + 0.754443i −0.0930889 + 0.0318526i
\(562\) 5.44284 + 9.42727i 0.229592 + 0.397665i
\(563\) 22.5671 39.0874i 0.951090 1.64734i 0.208019 0.978125i \(-0.433298\pi\)
0.743072 0.669212i \(-0.233368\pi\)
\(564\) −0.772348 0.151674i −0.0325217 0.00638662i
\(565\) −43.0996 43.0996i −1.81321 1.81321i
\(566\) 3.60274 13.4456i 0.151434 0.565161i
\(567\) −22.2045 + 8.60005i −0.932501 + 0.361168i
\(568\) −6.60434 11.4390i −0.277112 0.479972i
\(569\) −19.2515 33.3446i −0.807065 1.39788i −0.914888 0.403708i \(-0.867721\pi\)
0.107823 0.994170i \(-0.465612\pi\)
\(570\) 17.5978 20.1654i 0.737092 0.844636i
\(571\) 7.09334 4.09534i 0.296847 0.171385i −0.344179 0.938904i \(-0.611843\pi\)
0.641026 + 0.767519i \(0.278509\pi\)
\(572\) −6.54213 + 2.18346i −0.273540 + 0.0912949i
\(573\) 1.48946 + 21.9066i 0.0622231 + 0.915161i
\(574\) 0.735161 + 7.47970i 0.0306850 + 0.312196i
\(575\) −21.9724 12.6858i −0.916313 0.529034i
\(576\) 0.406071 + 2.97239i 0.0169196 + 0.123850i
\(577\) 3.58621 13.3839i 0.149296 0.557180i −0.850231 0.526411i \(-0.823537\pi\)
0.999527 0.0307697i \(-0.00979584\pi\)
\(578\) 4.27188 + 15.9429i 0.177687 + 0.663136i
\(579\) −2.29398 + 2.62867i −0.0953344 + 0.109244i
\(580\) −23.4020 + 23.4020i −0.971716 + 0.971716i
\(581\) −2.30478 + 2.80722i −0.0956183 + 0.116463i
\(582\) −6.42985 + 13.1189i −0.266526 + 0.543798i
\(583\) −14.8569 3.98090i −0.615310 0.164872i
\(584\) −7.09629 12.2911i −0.293647 0.508611i
\(585\) 42.1535 20.7749i 1.74283 0.858936i
\(586\) −6.38973 + 11.0673i −0.263957 + 0.457187i
\(587\) 3.18558 + 11.8888i 0.131483 + 0.490701i 0.999988 0.00497976i \(-0.00158511\pi\)
−0.868505 + 0.495681i \(0.834918\pi\)
\(588\) 11.7176 + 3.11420i 0.483225 + 0.128427i
\(589\) −23.1748 + 13.3800i −0.954901 + 0.551312i
\(590\) −7.66632 28.6111i −0.315618 1.17790i
\(591\) 3.83621 + 11.2113i 0.157800 + 0.461170i
\(592\) 0.383602 + 1.43162i 0.0157660 + 0.0588393i
\(593\) 12.9309 3.46484i 0.531010 0.142284i 0.0166555 0.999861i \(-0.494698\pi\)
0.514355 + 0.857578i \(0.328031\pi\)
\(594\) −6.60800 7.42477i −0.271129 0.304642i
\(595\) −7.97688 1.31864i −0.327020 0.0540591i
\(596\) 20.1630 5.40265i 0.825908 0.221301i
\(597\) −31.8795 15.6248i −1.30474 0.639479i
\(598\) 6.25337 2.08708i 0.255719 0.0853472i
\(599\) −0.589433 + 0.340309i −0.0240836 + 0.0139047i −0.511993 0.858989i \(-0.671093\pi\)
0.487910 + 0.872894i \(0.337759\pi\)
\(600\) −23.5839 4.63140i −0.962807 0.189076i
\(601\) −1.74839 + 3.02830i −0.0713184 + 0.123527i −0.899479 0.436963i \(-0.856054\pi\)
0.828161 + 0.560490i \(0.189387\pi\)
\(602\) −9.45131 + 3.55504i −0.385207 + 0.144893i
\(603\) 6.39807 + 4.86005i 0.260550 + 0.197917i
\(604\) 3.25030 + 3.25030i 0.132253 + 0.132253i
\(605\) 30.8075 8.25486i 1.25250 0.335608i
\(606\) −27.2093 5.34336i −1.10530 0.217059i
\(607\) 26.1270 1.06046 0.530231 0.847853i \(-0.322105\pi\)
0.530231 + 0.847853i \(0.322105\pi\)
\(608\) 1.77831 3.08012i 0.0721200 0.124915i
\(609\) −32.6977 12.2232i −1.32498 0.495308i
\(610\) 44.7585i 1.81222i
\(611\) 0.518720 + 1.55420i 0.0209851 + 0.0628762i
\(612\) 1.66777 1.29269i 0.0674156 0.0522538i
\(613\) 28.5138 + 28.5138i 1.15166 + 1.15166i 0.986219 + 0.165442i \(0.0529052\pi\)
0.165442 + 0.986219i \(0.447095\pi\)
\(614\) 17.7447 10.2449i 0.716118 0.413451i
\(615\) 17.7451 11.9195i 0.715551 0.480642i
\(616\) 0.495040 + 5.03665i 0.0199457 + 0.202933i
\(617\) −12.8924 3.45450i −0.519028 0.139073i −0.0102110 0.999948i \(-0.503250\pi\)
−0.508817 + 0.860875i \(0.669917\pi\)
\(618\) −0.734463 0.640947i −0.0295444 0.0257827i
\(619\) −20.6664 5.53754i −0.830651 0.222572i −0.181654 0.983363i \(-0.558145\pi\)
−0.648998 + 0.760790i \(0.724812\pi\)
\(620\) 28.3097 + 16.3446i 1.13695 + 0.656417i
\(621\) 6.31634 + 7.09705i 0.253466 + 0.284795i
\(622\) 7.01235 + 26.1705i 0.281170 + 1.04934i
\(623\) 5.32112 32.1891i 0.213186 1.28963i
\(624\) 4.96468 3.78840i 0.198746 0.151658i
\(625\) 49.0842 85.0163i 1.96337 3.40065i
\(626\) 0.137548 0.137548i 0.00549754 0.00549754i
\(627\) 0.799339 + 11.7565i 0.0319225 + 0.469509i
\(628\) 10.9324i 0.436248i
\(629\) 0.737141 0.737141i 0.0293917 0.0293917i
\(630\) −7.98750 33.5470i −0.318230 1.33654i
\(631\) 7.73214 + 2.07182i 0.307812 + 0.0824779i 0.409418 0.912347i \(-0.365732\pi\)
−0.101607 + 0.994825i \(0.532398\pi\)
\(632\) −0.300206 + 0.0804401i −0.0119416 + 0.00319973i
\(633\) −9.87106 + 20.1401i −0.392340 + 0.800498i
\(634\) 8.72319i 0.346442i
\(635\) −12.0880 + 45.1131i −0.479698 + 1.79026i
\(636\) 13.8951 0.944750i 0.550978 0.0374618i
\(637\) −6.39751 24.4146i −0.253479 0.967341i
\(638\) 14.5711i 0.576874i
\(639\) −39.3118 4.98069i −1.55515 0.197033i
\(640\) −4.34468 −0.171738
\(641\) −6.45150 + 11.1743i −0.254819 + 0.441360i −0.964846 0.262815i \(-0.915349\pi\)
0.710027 + 0.704174i \(0.248683\pi\)
\(642\) −17.0310 + 5.82759i −0.672162 + 0.229997i
\(643\) −9.32124 + 34.7873i −0.367594 + 1.37188i 0.496277 + 0.868164i \(0.334700\pi\)
−0.863870 + 0.503714i \(0.831966\pi\)
\(644\) −0.473190 4.81435i −0.0186463 0.189712i
\(645\) 21.6395 + 18.8842i 0.852054 + 0.743566i
\(646\) −2.50160 −0.0984242
\(647\) 2.75300 0.108231 0.0541157 0.998535i \(-0.482766\pi\)
0.0541157 + 0.998535i \(0.482766\pi\)
\(648\) 7.83772 + 4.42381i 0.307895 + 0.173784i
\(649\) 11.2939 + 6.52055i 0.443325 + 0.255954i
\(650\) 15.8393 + 47.4580i 0.621267 + 1.86146i
\(651\) −3.30285 + 34.3207i −0.129449 + 1.34513i
\(652\) 9.01393 2.41528i 0.353013 0.0945895i
\(653\) −6.75178 + 3.89814i −0.264218 + 0.152546i −0.626257 0.779617i \(-0.715414\pi\)
0.362039 + 0.932163i \(0.382081\pi\)
\(654\) −6.41456 + 13.0878i −0.250829 + 0.511772i
\(655\) 21.2163 79.1805i 0.828991 3.09384i
\(656\) 2.00867 2.00867i 0.0784252 0.0784252i
\(657\) −42.2401 5.35169i −1.64794 0.208789i
\(658\) 1.19655 0.117606i 0.0466463 0.00458475i
\(659\) −30.1598 + 17.4128i −1.17486 + 0.678306i −0.954820 0.297185i \(-0.903952\pi\)
−0.220040 + 0.975491i \(0.570619\pi\)
\(660\) 11.9491 8.02634i 0.465119 0.312425i
\(661\) −24.9621 + 24.9621i −0.970914 + 0.970914i −0.999589 0.0286743i \(-0.990871\pi\)
0.0286743 + 0.999589i \(0.490871\pi\)
\(662\) 14.4034 + 24.9474i 0.559803 + 0.969607i
\(663\) −4.05363 1.69183i −0.157430 0.0657051i
\(664\) 1.37282 0.0532759
\(665\) −16.8803 + 37.2355i −0.654589 + 1.44393i
\(666\) 4.11616 + 1.68151i 0.159498 + 0.0651572i
\(667\) 13.9279i 0.539292i
\(668\) 9.37699 + 2.51256i 0.362807 + 0.0972138i
\(669\) −18.8188 + 6.43930i −0.727576 + 0.248958i
\(670\) −8.22788 + 8.22788i −0.317871 + 0.317871i
\(671\) −13.9343 13.9343i −0.537926 0.537926i
\(672\) −1.90059 4.16986i −0.0733167 0.160856i
\(673\) 22.7367 + 13.1271i 0.876437 + 0.506011i 0.869482 0.493965i \(-0.164453\pi\)
0.00695514 + 0.999976i \(0.497786\pi\)
\(674\) 0.259689 0.969173i 0.0100028 0.0373311i
\(675\) −53.8608 + 47.9358i −2.07310 + 1.84505i
\(676\) −11.9589 5.09763i −0.459956 0.196063i
\(677\) 28.1917 + 16.2765i 1.08349 + 0.625555i 0.931837 0.362878i \(-0.118206\pi\)
0.151657 + 0.988433i \(0.451539\pi\)
\(678\) −22.9905 + 7.86675i −0.882944 + 0.302121i
\(679\) 3.63979 22.0182i 0.139682 0.844981i
\(680\) 1.52795 + 2.64648i 0.0585941 + 0.101488i
\(681\) −4.13641 12.0886i −0.158508 0.463236i
\(682\) −13.9018 + 3.72499i −0.532329 + 0.142637i
\(683\) −14.9363 + 4.00216i −0.571520 + 0.153138i −0.532994 0.846119i \(-0.678933\pi\)
−0.0385265 + 0.999258i \(0.512266\pi\)
\(684\) −4.13118 9.83765i −0.157959 0.376152i
\(685\) 1.84907 + 3.20268i 0.0706492 + 0.122368i
\(686\) −18.5107 + 0.594751i −0.706742 + 0.0227077i
\(687\) 8.16791 + 23.8706i 0.311625 + 0.910721i
\(688\) 3.30528 + 1.90831i 0.126013 + 0.0727535i
\(689\) −15.9833 24.1880i −0.608917 0.921489i
\(690\) −11.4217 + 7.67208i −0.434817 + 0.292071i
\(691\) 3.08383 11.5090i 0.117314 0.437824i −0.882135 0.470996i \(-0.843894\pi\)
0.999450 + 0.0331728i \(0.0105612\pi\)
\(692\) 4.59066 + 2.65042i 0.174511 + 0.100754i
\(693\) 12.9306 + 7.95721i 0.491191 + 0.302269i
\(694\) 17.1221 + 17.1221i 0.649944 + 0.649944i
\(695\) 31.1810 31.1810i 1.18276 1.18276i
\(696\) 4.27146 + 12.4833i 0.161909 + 0.473178i
\(697\) −1.92995 0.517130i −0.0731022 0.0195877i
\(698\) 4.01617i 0.152014i
\(699\) 17.2788 35.2543i 0.653544 1.33344i
\(700\) 36.5370 3.59113i 1.38097 0.135732i
\(701\) 20.9371 0.790783 0.395392 0.918513i \(-0.370609\pi\)
0.395392 + 0.918513i \(0.370609\pi\)
\(702\) −0.0410345 18.7349i −0.00154875 0.707105i
\(703\) −2.63568 4.56513i −0.0994065 0.172177i
\(704\) 1.35259 1.35259i 0.0509776 0.0509776i
\(705\) −1.90680 2.83873i −0.0718144 0.106913i
\(706\) −12.1648 + 7.02334i −0.457828 + 0.264327i
\(707\) 42.1536 4.14317i 1.58535 0.155820i
\(708\) −11.5872 2.27549i −0.435472 0.0855181i
\(709\) −21.3623 + 21.3623i −0.802276 + 0.802276i −0.983451 0.181175i \(-0.942010\pi\)
0.181175 + 0.983451i \(0.442010\pi\)
\(710\) 14.8530 55.4320i 0.557422 2.08033i
\(711\) −0.352607 + 0.863145i −0.0132238 + 0.0323704i
\(712\) −10.6793 + 6.16573i −0.400226 + 0.231070i
\(713\) 13.2882 3.56058i 0.497649 0.133345i
\(714\) −1.87159 + 2.62418i −0.0700427 + 0.0982073i
\(715\) −26.8063 13.3905i −1.00250 0.500776i
\(716\) −10.5859 6.11177i −0.395613 0.228408i
\(717\) 5.36819 6.15142i 0.200479 0.229729i
\(718\) 15.2521 0.569202
\(719\) −21.9643 −0.819131 −0.409565 0.912281i \(-0.634320\pi\)
−0.409565 + 0.912281i \(0.634320\pi\)
\(720\) −7.88412 + 10.3791i −0.293824 + 0.386808i
\(721\) 1.35619 + 0.614812i 0.0505072 + 0.0228968i
\(722\) 1.64362 6.13407i 0.0611692 0.228286i
\(723\) −5.89414 17.2256i −0.219206 0.640625i
\(724\) −0.386405 + 0.669272i −0.0143606 + 0.0248733i
\(725\) −105.702 −3.92566
\(726\) 2.45017 12.4767i 0.0909345 0.463054i
\(727\) 46.5924i 1.72802i 0.503477 + 0.864009i \(0.332054\pi\)
−0.503477 + 0.864009i \(0.667946\pi\)
\(728\) −5.59768 + 7.72438i −0.207464 + 0.286284i
\(729\) 24.7910 10.6961i 0.918185 0.396151i
\(730\) 15.9593 59.5611i 0.590682 2.20445i
\(731\) 2.68447i 0.0992887i
\(732\) 16.0225 + 7.85294i 0.592209 + 0.290253i
\(733\) −8.03756 + 2.15366i −0.296874 + 0.0795472i −0.404182 0.914679i \(-0.632444\pi\)
0.107308 + 0.994226i \(0.465777\pi\)
\(734\) 18.4250 + 4.93697i 0.680080 + 0.182227i
\(735\) 26.4309 + 45.5655i 0.974918 + 1.68071i
\(736\) −1.29289 + 1.29289i −0.0476565 + 0.0476565i
\(737\) 5.12302i 0.188709i
\(738\) −1.15352 8.44362i −0.0424616 0.310814i
\(739\) −1.79379 + 1.79379i −0.0659858 + 0.0659858i −0.739330 0.673344i \(-0.764857\pi\)
0.673344 + 0.739330i \(0.264857\pi\)
\(740\) −3.21968 + 5.57664i −0.118358 + 0.205002i
\(741\) −13.5685 + 17.5849i −0.498451 + 0.645997i
\(742\) −19.9121 + 7.48981i −0.730998 + 0.274960i
\(743\) −0.458051 1.70947i −0.0168043 0.0627143i 0.957015 0.290040i \(-0.0936685\pi\)
−0.973819 + 0.227325i \(0.927002\pi\)
\(744\) 10.8180 7.26653i 0.396606 0.266404i
\(745\) 78.5415 + 45.3459i 2.87754 + 1.66135i
\(746\) −19.9181 5.33704i −0.729254 0.195403i
\(747\) 2.49121 3.27958i 0.0911486 0.119994i
\(748\) −1.29959 0.348223i −0.0475176 0.0127323i
\(749\) 22.3534 16.0114i 0.816776 0.585044i
\(750\) −37.2447 55.4477i −1.35999 2.02466i
\(751\) 1.63978 0.946727i 0.0598364 0.0345466i −0.469783 0.882782i \(-0.655668\pi\)
0.529620 + 0.848235i \(0.322335\pi\)
\(752\) −0.321332 0.321332i −0.0117178 0.0117178i
\(753\) −8.73803 13.0086i −0.318432 0.474061i
\(754\) 18.2146 20.5564i 0.663335 0.748621i
\(755\) 19.9708i 0.726813i
\(756\) −13.4104 3.02652i −0.487733 0.110074i
\(757\) 15.1635 26.2640i 0.551128 0.954581i −0.447066 0.894501i \(-0.647531\pi\)
0.998194 0.0600801i \(-0.0191356\pi\)
\(758\) 29.9097 1.08637
\(759\) 1.16734 5.94430i 0.0423718 0.215764i
\(760\) 14.9258 3.99937i 0.541417 0.145072i
\(761\) −11.8216 11.8216i −0.428532 0.428532i 0.459596 0.888128i \(-0.347994\pi\)
−0.888128 + 0.459596i \(0.847994\pi\)
\(762\) 14.0286 + 12.2424i 0.508201 + 0.443494i
\(763\) 3.63114 21.9659i 0.131456 0.795218i
\(764\) −6.33849 + 10.9786i −0.229319 + 0.397191i
\(765\) 9.09497 + 1.15231i 0.328829 + 0.0416617i
\(766\) 23.5217 13.5803i 0.849875 0.490675i
\(767\) 7.78211 + 23.3169i 0.280996 + 0.841926i
\(768\) −0.762278 + 1.55529i −0.0275064 + 0.0561217i
\(769\) 6.14055 1.64536i 0.221434 0.0593331i −0.146396 0.989226i \(-0.546767\pi\)
0.367830 + 0.929893i \(0.380101\pi\)
\(770\) −13.9525 + 16.9942i −0.502814 + 0.612428i
\(771\) 13.2572 + 19.7365i 0.477447 + 0.710794i
\(772\) −1.94567 + 0.521340i −0.0700261 + 0.0187634i
\(773\) −0.849915 3.17193i −0.0305693 0.114086i 0.948955 0.315410i \(-0.102142\pi\)
−0.979525 + 0.201324i \(0.935476\pi\)
\(774\) 10.5568 4.43317i