Properties

Label 546.2.bw.a.527.19
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 527.19
Character \(\chi\) \(=\) 546.527
Dual form 546.2.bw.a.431.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 - 0.258819i) q^{2} +(1.72806 + 0.117493i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-1.12449 - 4.19664i) q^{5} +(-1.63877 - 0.560745i) q^{6} +(-2.63306 + 0.258797i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(2.97239 + 0.406071i) q^{9} +O(q^{10})\) \(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} +(-1.63877 - 0.560745i) 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} +(1.43780 + 0.965783i) q^{12} +(-0.217387 - 3.59899i) q^{13} +(2.61033 + 0.431508i) q^{14} +(-1.45010 - 7.38416i) q^{15} +(0.500000 + 0.866025i) q^{16} +(-0.351682 + 0.609132i) q^{17} +(-2.76601 - 1.16155i) q^{18} +(-2.51491 - 2.51491i) q^{19} +(1.12449 - 4.19664i) q^{20} +(-4.58050 + 0.137850i) q^{21} +(-0.956425 - 1.65658i) q^{22} +(-0.914210 - 1.58346i) q^{23} +(-1.13884 - 1.30500i) 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} +(2.17844 + 2.49628i) q^{33} +(0.497354 - 0.497354i) q^{34} +(4.04692 + 10.7590i) q^{35} +(2.37113 + 1.83786i) q^{36} +(1.43162 + 0.383602i) q^{37} +(1.77831 + 3.08012i) q^{38} +(0.0471984 - 6.24482i) q^{39} +(-2.17234 + 3.76260i) q^{40} +(0.735223 + 2.74389i) q^{41} +(4.46010 + 1.05237i) q^{42} +(3.30528 - 1.90831i) q^{43} +(0.495082 + 1.84767i) q^{44} +(-1.63828 - 12.9307i) q^{45} +(0.473230 + 1.76612i) q^{46} +(0.438948 - 0.117616i) q^{47} +(0.762278 + 1.55529i) q^{48} +(6.86605 - 1.36286i) q^{49} +(13.4034 - 3.59143i) q^{50} +(-0.679298 + 1.01130i) q^{51} +(1.61123 - 3.22551i) q^{52} +(-6.96361 + 4.02044i) q^{53} +(-4.64336 - 2.33221i) q^{54} +(4.15536 - 7.19729i) q^{55} +(2.04485 + 1.67886i) q^{56} +(-4.05043 - 4.64140i) q^{57} +(5.38637 + 5.38637i) q^{58} +(6.58533 - 1.76453i) q^{59} +(2.43626 - 7.11992i) q^{60} +10.3019 q^{61} +(-3.76199 + 6.51596i) q^{62} +(-7.93158 - 0.299964i) q^{63} +1.00000i q^{64} +(-14.8592 + 4.95931i) q^{65} +(-1.45812 - 2.97504i) q^{66} +(1.89378 + 1.89378i) q^{67} +(-0.609132 + 0.351682i) q^{68} +(-1.39377 - 2.84373i) q^{69} +(-1.12439 - 11.4398i) q^{70} +(12.7586 + 3.41866i) q^{71} +(-1.81466 - 2.38893i) q^{72} +(-13.7090 - 3.67331i) q^{73} +(-1.28356 - 0.741062i) q^{74} +(-21.5816 + 10.5775i) q^{75} +(-0.920521 - 3.43543i) q^{76} +(-3.91150 - 3.21141i) q^{77} +(-1.66187 + 6.01982i) 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} +(-4.03576 - 2.17087i) q^{84} +(2.95177 + 0.790923i) q^{85} +(-3.68656 + 0.987812i) q^{86} +(-10.9524 - 7.35682i) 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} +(4.21904 - 12.3301i) q^{93} -0.454432 q^{94} +(-7.72618 + 13.3821i) q^{95} +(-0.333765 - 1.69959i) q^{96} +(-2.18315 + 8.14762i) q^{97} +(-6.98483 - 0.460643i) q^{98} +(3.47117 + 4.56967i) 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 \(-0.659511\pi\)
−0.0224773 0.999747i \(-0.507155\pi\)
\(6\) −1.63877 0.560745i −0.669025 0.228923i
\(7\) −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 0.880978 0.473157i \(-0.156886\pi\)
−0.473157 + 0.880978i \(0.656886\pi\)
\(12\) 1.43780 + 0.965783i 0.415057 + 0.278797i
\(13\) −0.217387 3.59899i −0.0602924 0.998181i
\(14\) 2.61033 + 0.431508i 0.697639 + 0.115325i
\(15\) −1.45010 7.38416i −0.374415 1.90658i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) −0.351682 + 0.609132i −0.0852955 + 0.147736i −0.905517 0.424310i \(-0.860517\pi\)
0.820222 + 0.572046i \(0.193850\pi\)
\(18\) −2.76601 1.16155i −0.651955 0.273779i
\(19\) −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
\(21\) −4.58050 + 0.137850i −0.999547 + 0.0300814i
\(22\) −0.956425 1.65658i −0.203910 0.353183i
\(23\) −0.914210 1.58346i −0.190626 0.330174i 0.754832 0.655918i \(-0.227718\pi\)
−0.945458 + 0.325744i \(0.894385\pi\)
\(24\) −1.13884 1.30500i −0.232465 0.266383i
\(25\) −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 −0.259035 0.965868i \(-0.583404\pi\)
−0.965984 + 0.258604i \(0.916738\pi\)
\(30\) −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
\(33\) 2.17844 + 2.49628i 0.379217 + 0.434546i
\(34\) 0.497354 0.497354i 0.0852955 0.0852955i
\(35\) 4.04692 + 10.7590i 0.684054 + 1.81860i
\(36\) 2.37113 + 1.83786i 0.395188 + 0.306311i
\(37\) 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
\(39\) 0.0471984 6.24482i 0.00755780 0.999971i
\(40\) −2.17234 + 3.76260i −0.343477 + 0.594919i
\(41\) 0.735223 + 2.74389i 0.114822 + 0.428523i 0.999274 0.0381096i \(-0.0121336\pi\)
−0.884451 + 0.466633i \(0.845467\pi\)
\(42\) 4.46010 + 1.05237i 0.688209 + 0.162384i
\(43\) 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
\(45\) −1.63828 12.9307i −0.244220 1.92759i
\(46\) 0.473230 + 1.76612i 0.0697740 + 0.260400i
\(47\) 0.438948 0.117616i 0.0640271 0.0171560i −0.226663 0.973973i \(-0.572782\pi\)
0.290690 + 0.956817i \(0.406115\pi\)
\(48\) 0.762278 + 1.55529i 0.110025 + 0.224487i
\(49\) 6.86605 1.36286i 0.980864 0.194694i
\(50\) 13.4034 3.59143i 1.89553 0.507905i
\(51\) −0.679298 + 1.01130i −0.0951207 + 0.141610i
\(52\) 1.61123 3.22551i 0.223438 0.447298i
\(53\) −6.96361 + 4.02044i −0.956526 + 0.552250i −0.895102 0.445862i \(-0.852897\pi\)
−0.0614236 + 0.998112i \(0.519564\pi\)
\(54\) −4.64336 2.33221i −0.631881 0.317374i
\(55\) 4.15536 7.19729i 0.560308 0.970482i
\(56\) 2.04485 + 1.67886i 0.273255 + 0.224347i
\(57\) −4.05043 4.64140i −0.536493 0.614769i
\(58\) 5.38637 + 5.38637i 0.707265 + 0.707265i
\(59\) 6.58533 1.76453i 0.857336 0.229723i 0.196732 0.980457i \(-0.436967\pi\)
0.660604 + 0.750735i \(0.270300\pi\)
\(60\) 2.43626 7.11992i 0.314519 0.919178i
\(61\) 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
\(63\) −7.93158 0.299964i −0.999286 0.0377919i
\(64\) 1.00000i 0.125000i
\(65\) −14.8592 + 4.95931i −1.84306 + 0.615127i
\(66\) −1.45812 2.97504i −0.179483 0.366202i
\(67\) 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
\(69\) −1.39377 2.84373i −0.167790 0.342344i
\(70\) −1.12439 11.4398i −0.134390 1.36732i
\(71\) 12.7586 + 3.41866i 1.51417 + 0.405720i 0.917817 0.397004i \(-0.129950\pi\)
0.596351 + 0.802724i \(0.296617\pi\)
\(72\) −1.81466 2.38893i −0.213860 0.281538i
\(73\) −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
\(75\) −21.5816 + 10.5775i −2.49202 + 1.22139i
\(76\) −0.920521 3.43543i −0.105591 0.394071i
\(77\) −3.91150 3.21141i −0.445757 0.365974i
\(78\) −1.66187 + 6.01982i −0.188170 + 0.681610i
\(79\) −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 −0.758373 0.651821i \(-0.774005\pi\)
0.651821 + 0.758373i \(0.274005\pi\)
\(84\) −4.03576 2.17087i −0.440337 0.236861i
\(85\) 2.95177 + 0.790923i 0.320164 + 0.0857877i
\(86\) −3.68656 + 0.987812i −0.397532 + 0.106518i
\(87\) −10.9524 7.35682i −1.17422 0.788734i
\(88\) 1.91285i 0.203910i
\(89\) 3.19161 11.9113i 0.338310 1.26259i −0.561925 0.827188i \(-0.689939\pi\)
0.900235 0.435403i \(-0.143394\pi\)
\(90\) −1.76425 + 12.9141i −0.185968 + 1.36126i
\(91\) 1.50380 + 9.42012i 0.157641 + 0.987496i
\(92\) 1.82842i 0.190626i
\(93\) 4.21904 12.3301i 0.437494 1.27857i
\(94\) −0.454432 −0.0468711
\(95\) −7.72618 + 13.3821i −0.792690 + 1.37298i
\(96\) −0.333765 1.69959i −0.0340648 0.173464i
\(97\) −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
\(99\) 3.47117 + 4.56967i 0.348866 + 0.459269i
\(100\) −13.8762 −1.38762
\(101\) 16.0093 1.59299 0.796493 0.604647i \(-0.206686\pi\)
0.796493 + 0.604647i \(0.206686\pi\)
\(102\) 0.917894 0.801023i 0.0908850 0.0793130i
\(103\) −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
\(105\) 5.72921 + 19.0677i 0.559114 + 1.86082i
\(106\) 7.76690 2.08113i 0.754388 0.202138i
\(107\) 9.00024 5.19629i 0.870086 0.502345i 0.00270934 0.999996i \(-0.499138\pi\)
0.867377 + 0.497652i \(0.165804\pi\)
\(108\) 3.88152 + 3.45453i 0.373500 + 0.332412i
\(109\) −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
\(111\) 2.42886 + 0.831094i 0.230537 + 0.0788839i
\(112\) −1.54066 2.15090i −0.145578 0.203241i
\(113\) 12.1496 7.01456i 1.14294 0.659874i 0.195780 0.980648i \(-0.437276\pi\)
0.947156 + 0.320774i \(0.103943\pi\)
\(114\) 2.71113 + 5.53158i 0.253921 + 0.518080i
\(115\) −5.61718 + 5.61718i −0.523805 + 0.523805i
\(116\) −3.80874 6.59692i −0.353632 0.612509i
\(117\) 0.815286 10.7859i 0.0753732 0.997155i
\(118\) −6.81763 −0.627614
\(119\) 0.768361 1.69490i 0.0704355 0.155371i
\(120\) −4.19601 + 6.24677i −0.383042 + 0.570249i
\(121\) 7.34101i 0.667364i
\(122\) −9.95090 2.66633i −0.900912 0.241399i
\(123\) 0.948121 + 4.82799i 0.0854892 + 0.435325i
\(124\) 5.32026 5.32026i 0.477773 0.477773i
\(125\) 27.2691 + 27.2691i 2.43902 + 2.43902i
\(126\) 7.58369 + 2.34259i 0.675608 + 0.208694i
\(127\) 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
\(129\) 5.93594 2.90932i 0.522631 0.256151i
\(130\) 15.6365 0.944478i 1.37141 0.0828362i
\(131\) 16.3398 + 9.43381i 1.42762 + 0.824235i 0.996932 0.0782669i \(-0.0249386\pi\)
0.430685 + 0.902502i \(0.358272\pi\)
\(132\) 0.638443 + 3.25106i 0.0555693 + 0.282968i
\(133\) 7.27277 + 5.97107i 0.630629 + 0.517757i
\(134\) −1.33911 2.31940i −0.115681 0.200366i
\(135\) −1.31178 22.5375i −0.112900 1.93972i
\(136\) 0.679398 0.182044i 0.0582579 0.0156102i
\(137\) −0.822183 + 0.220303i −0.0702438 + 0.0188218i −0.293770 0.955876i \(-0.594910\pi\)
0.223526 + 0.974698i \(0.428243\pi\)
\(138\) 0.610263 + 3.10756i 0.0519491 + 0.264533i
\(139\) −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
\(141\) 0.772348 0.151674i 0.0650434 0.0127732i
\(142\) −11.4390 6.60434i −0.959944 0.554224i
\(143\) 4.57392 5.16199i 0.382490 0.431667i
\(144\) 1.13453 + 2.77720i 0.0945440 + 0.231433i
\(145\) −8.56573 + 31.9678i −0.711346 + 2.65478i
\(146\) 12.2911 + 7.09629i 1.01722 + 0.587293i
\(147\) 12.0251 1.54839i 0.991812 0.127709i
\(148\) 1.04802 + 1.04802i 0.0861468 + 0.0861468i
\(149\) −14.7603 + 14.7603i −1.20921 + 1.20921i −0.237931 + 0.971282i \(0.576469\pi\)
−0.971282 + 0.237931i \(0.923531\pi\)
\(150\) 23.5839 4.63140i 1.92561 0.378152i
\(151\) 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
\(153\) −1.29269 + 1.66777i −0.104508 + 0.134831i
\(154\) 2.94704 + 4.11435i 0.237480 + 0.331544i
\(155\) −32.6893 −2.62567
\(156\) 3.16328 5.38457i 0.253265 0.431111i
\(157\) 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
\(159\) −12.5059 + 6.12939i −0.991784 + 0.486093i
\(160\) −3.76260 + 2.17234i −0.297460 + 0.171738i
\(161\) 2.81697 + 3.93275i 0.222008 + 0.309944i
\(162\) −7.74999 4.57576i −0.608897 0.359506i
\(163\) 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
\(165\) 8.02634 11.9491i 0.624850 0.930238i
\(166\) 1.18890 0.686411i 0.0922765 0.0532759i
\(167\) −9.37699 + 2.51256i −0.725614 + 0.194428i −0.602675 0.797987i \(-0.705898\pi\)
−0.122939 + 0.992414i \(0.539232\pi\)
\(168\) 3.33638 + 3.14143i 0.257407 + 0.242367i
\(169\) −12.9055 + 1.56475i −0.992730 + 0.120365i
\(170\) −2.64648 1.52795i −0.202976 0.117188i
\(171\) −6.45406 8.49653i −0.493555 0.649746i
\(172\) 3.81661 0.291014
\(173\) −5.30084 −0.403015 −0.201508 0.979487i \(-0.564584\pi\)
−0.201508 + 0.979487i \(0.564584\pi\)
\(174\) 8.67511 + 9.94083i 0.657658 + 0.753613i
\(175\) 29.8464 21.3785i 2.25617 1.61606i
\(176\) −0.495082 + 1.84767i −0.0373182 + 0.139273i
\(177\) 11.5872 2.27549i 0.870945 0.171036i
\(178\) −6.16573 + 10.6793i −0.462141 + 0.800451i
\(179\) 12.2235 0.913630 0.456815 0.889562i \(-0.348990\pi\)
0.456815 + 0.889562i \(0.348990\pi\)
\(180\) 5.04654 12.0174i 0.376147 0.895726i
\(181\) 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
\(186\) −7.26653 + 10.8180i −0.532808 + 0.793212i
\(187\) −1.29959 + 0.348223i −0.0950352 + 0.0254646i
\(188\) 0.438948 + 0.117616i 0.0320136 + 0.00857801i
\(189\) −13.6710 1.45026i −0.994420 0.105491i
\(190\) 10.9265 10.9265i 0.792690 0.792690i
\(191\) 12.6770i 0.917274i −0.888624 0.458637i \(-0.848338\pi\)
0.888624 0.458637i \(-0.151662\pi\)
\(192\) −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
\(195\) −26.2603 + 6.82413i −1.88054 + 0.488686i
\(196\) 6.62760 + 2.25275i 0.473400 + 0.160911i
\(197\) −1.77065 6.60816i −0.126154 0.470812i 0.873725 0.486421i \(-0.161698\pi\)
−0.999878 + 0.0156093i \(0.995031\pi\)
\(198\) −2.17018 5.31237i −0.154228 0.377533i
\(199\) −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
\(201\) 3.05007 + 3.49508i 0.215135 + 0.246524i
\(202\) −15.4638 4.14352i −1.08803 0.291537i
\(203\) 18.3558 + 8.32138i 1.28833 + 0.584046i
\(204\) −1.09394 + 0.536160i −0.0765909 + 0.0375387i
\(205\) 10.6884 6.17092i 0.746507 0.430996i
\(206\) 0.397963 + 0.397963i 0.0277274 + 0.0277274i
\(207\) −2.07439 5.07789i −0.144180 0.352938i
\(208\) 3.00812 1.98776i 0.208576 0.137826i
\(209\) 6.80328i 0.470593i
\(210\) −0.598915 19.9008i −0.0413291 1.37329i
\(211\) −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
\(213\) 21.6460 + 7.40670i 1.48316 + 0.507499i
\(214\) −10.0385 + 2.68980i −0.686215 + 0.183871i
\(215\) −11.7252 11.7252i −0.799652 0.799652i
\(216\) −2.85516 4.34143i −0.194269 0.295397i
\(217\) −3.24666 + 19.6401i −0.220398 + 1.33325i
\(218\) 4.20749 7.28759i 0.284967 0.493578i
\(219\) −23.2584 7.95841i −1.57165 0.537780i
\(220\) 7.19729 4.15536i 0.485241 0.280154i
\(221\) 2.26871 + 1.13328i 0.152610 + 0.0762330i
\(222\) −2.13100 1.43141i −0.143023 0.0960700i
\(223\) −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
\(225\) −38.5371 + 15.7430i −2.56914 + 1.04953i
\(226\) −13.5511 + 3.63100i −0.901405 + 0.241531i
\(227\) 1.90921 + 7.12528i 0.126719 + 0.472922i 0.999895 0.0144831i \(-0.00461028\pi\)
−0.873176 + 0.487405i \(0.837944\pi\)
\(228\) −1.18708 6.04479i −0.0786161 0.400326i
\(229\) 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
\(231\) −6.38199 6.00908i −0.419904 0.395368i
\(232\) 1.97155 + 7.35791i 0.129438 + 0.483071i
\(233\) −11.3337 + 19.6305i −0.742493 + 1.28603i 0.208865 + 0.977945i \(0.433023\pi\)
−0.951357 + 0.308090i \(0.900310\pi\)
\(234\) −3.57910 + 10.2074i −0.233973 + 0.667276i
\(235\) −0.987180 1.70985i −0.0643965 0.111538i
\(236\) 6.58533 + 1.76453i 0.428668 + 0.114861i
\(237\) −0.300162 + 0.446863i −0.0194976 + 0.0290269i
\(238\) −1.18085 + 1.43828i −0.0765432 + 0.0932298i
\(239\) −3.33310 + 3.33310i −0.215600 + 0.215600i −0.806641 0.591041i \(-0.798717\pi\)
0.591041 + 0.806641i \(0.298717\pi\)
\(240\) 5.66982 4.94791i 0.365985 0.319386i
\(241\) −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
\(249\) −1.79154 + 1.56343i −0.113534 + 0.0990784i
\(250\) −19.2822 33.3977i −1.21951 2.11225i
\(251\) 4.52381 + 7.83547i 0.285540 + 0.494570i 0.972740 0.231898i \(-0.0744936\pi\)
−0.687200 + 0.726468i \(0.741160\pi\)
\(252\) −6.71897 4.22557i −0.423255 0.266186i
\(253\) 0.905218 3.37832i 0.0569105 0.212393i
\(254\) −7.60127 7.60127i −0.476946 0.476946i
\(255\) 5.00790 + 1.71358i 0.313607 + 0.107308i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −6.86346 11.8879i −0.428131 0.741544i 0.568576 0.822630i \(-0.307494\pi\)
−0.996707 + 0.0810865i \(0.974161\pi\)
\(258\) −6.48667 + 1.27385i −0.403842 + 0.0793066i
\(259\) −3.86883 0.639549i −0.240397 0.0397396i
\(260\) −15.3481 3.13472i −0.951849 0.194407i
\(261\) −18.0620 13.9999i −1.11801 0.866570i
\(262\) −13.3414 13.3414i −0.824235 0.824235i
\(263\) 22.3462i 1.37793i −0.724796 0.688963i \(-0.758066\pi\)
0.724796 0.688963i \(-0.241934\pi\)
\(264\) 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
\(267\) 6.91480 20.2084i 0.423179 1.23673i
\(268\) 0.693173 + 2.58696i 0.0423423 + 0.158023i
\(269\) 23.1251 + 13.3513i 1.40996 + 0.814041i 0.995384 0.0959735i \(-0.0305964\pi\)
0.414576 + 0.910014i \(0.363930\pi\)
\(270\) −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
\(273\) 1.49187 + 16.4552i 0.0902918 + 0.995915i
\(274\) 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
\(279\) 8.73945 20.8114i 0.523217 1.24595i
\(280\) 4.74616 10.4694i 0.283637 0.625664i
\(281\) −7.69733 7.69733i −0.459184 0.459184i 0.439203 0.898388i \(-0.355261\pi\)
−0.898388 + 0.439203i \(0.855261\pi\)
\(282\) −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
\(285\) −14.9236 + 22.2174i −0.883999 + 1.31604i
\(286\) −5.75409 + 3.80228i −0.340246 + 0.224834i
\(287\) −2.64600 7.03456i −0.156188 0.415237i
\(288\) −0.377077 2.97621i −0.0222195 0.175375i
\(289\) 8.25264 + 14.2940i 0.485449 + 0.840823i
\(290\) 16.5477 28.6615i 0.971716 1.68306i
\(291\) −4.72991 + 13.8231i −0.277272 + 0.810324i
\(292\) −10.0357 10.0357i −0.587293 0.587293i
\(293\) 3.30757 12.3440i 0.193230 0.721145i −0.799488 0.600682i \(-0.794896\pi\)
0.992718 0.120462i \(-0.0384377\pi\)
\(294\) −12.0161 1.61669i −0.700792 0.0942872i
\(295\) −14.8102 25.6520i −0.862283 1.49352i
\(296\) −0.741062 1.28356i −0.0430734 0.0746053i
\(297\) 5.46150 + 8.30451i 0.316908 + 0.481876i
\(298\) 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
\(306\) 1.68029 1.27637i 0.0960559 0.0729652i
\(307\) 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
\(309\) −0.809200 0.543547i −0.0460338 0.0309213i
\(310\) 31.5754 + 8.46061i 1.79336 + 0.480530i
\(311\) −13.5468 23.4638i −0.768170 1.33051i −0.938554 0.345132i \(-0.887834\pi\)
0.170384 0.985378i \(-0.445499\pi\)
\(312\) −4.44913 + 4.38238i −0.251882 + 0.248103i
\(313\) 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
\(315\) 7.66011 + 33.6233i 0.431598 + 1.89446i
\(316\) −0.269158 + 0.155398i −0.0151413 + 0.00874184i
\(317\) −2.25773 8.42596i −0.126807 0.473249i 0.873091 0.487557i \(-0.162112\pi\)
−0.999898 + 0.0143085i \(0.995445\pi\)
\(318\) 13.6662 2.68377i 0.766362 0.150498i
\(319\) −3.77127 14.0746i −0.211151 0.788025i
\(320\) 4.19664 1.12449i 0.234599 0.0628606i
\(321\) 16.1635 7.92204i 0.902158 0.442165i
\(322\) −1.70311 4.52783i −0.0949107 0.252326i
\(323\) 2.41636 0.647462i 0.134450 0.0360258i
\(324\) 6.30162 + 6.42569i 0.350090 + 0.356983i
\(325\) 27.5826 + 41.7414i 1.53001 + 2.31540i
\(326\) −8.08167 + 4.66596i −0.447602 + 0.258423i
\(327\) −4.71866 + 13.7902i −0.260943 + 0.762601i
\(328\) 1.42034 2.46010i 0.0784252 0.135836i
\(329\) −1.12534 + 0.423288i −0.0620419 + 0.0233366i
\(330\) −10.8455 + 9.46460i −0.597026 + 0.521009i
\(331\) 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
\(333\) 4.09957 + 1.72156i 0.224655 + 0.0943407i
\(334\) 9.70778 0.531186
\(335\) 5.81799 10.0770i 0.317871 0.550568i
\(336\) −2.40963 3.89791i −0.131456 0.212648i
\(337\) 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
\(339\) 21.8194 10.6941i 1.18507 0.580823i
\(340\) 2.16084 + 2.16084i 0.117188 + 0.117188i
\(341\) 12.4641 7.19612i 0.674966 0.389692i
\(342\) 4.03508 + 9.87745i 0.218192 + 0.534111i
\(343\) −17.7260 + 5.36541i −0.957116 + 0.289705i
\(344\) −3.68656 0.987812i −0.198766 0.0532592i
\(345\) −10.3668 + 9.04686i −0.558131 + 0.487066i
\(346\) 5.12022 + 1.37196i 0.275265 + 0.0737569i
\(347\) −20.9701 12.1071i −1.12574 0.649944i −0.182877 0.983136i \(-0.558541\pi\)
−0.942859 + 0.333192i \(0.891874\pi\)
\(348\) −5.80663 11.8474i −0.311268 0.635087i
\(349\) −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
\(351\) 2.67613 18.5429i 0.142841 0.989746i
\(352\) 0.956425 1.65658i 0.0509776 0.0882958i
\(353\) 9.93251 9.93251i 0.528654 0.528654i −0.391517 0.920171i \(-0.628050\pi\)
0.920171 + 0.391517i \(0.128050\pi\)
\(354\) −11.7813 0.801025i −0.626168 0.0425740i
\(355\) 57.3874i 3.04581i
\(356\) 8.71965 8.71965i 0.462141 0.462141i
\(357\) 1.52691 2.83861i 0.0808128 0.150235i
\(358\) −11.8070 3.16368i −0.624021 0.167206i
\(359\) −14.7324 + 3.94752i −0.777544 + 0.208342i −0.625702 0.780062i \(-0.715187\pi\)
−0.151843 + 0.988405i \(0.548521\pi\)
\(360\) −7.98492 + 10.3018i −0.420842 + 0.542952i
\(361\) 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
\(366\) −16.8825 5.77675i −0.882461 0.301956i
\(367\) 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
\(369\) 1.07116 + 8.45446i 0.0557621 + 0.440122i
\(370\) −1.66663 + 6.21994i −0.0866438 + 0.323359i
\(371\) 17.2952 12.3882i 0.897920 0.643166i
\(372\) 9.81883 8.56864i 0.509083 0.444263i
\(373\) −20.6207 −1.06770 −0.533851 0.845579i \(-0.679256\pi\)
−0.533851 + 0.845579i \(0.679256\pi\)
\(374\) 1.34543 0.0695706
\(375\) 43.9187 + 50.3266i 2.26795 + 2.59885i
\(376\) −0.393550 0.227216i −0.0202958 0.0117178i
\(377\) −12.2735 + 24.5702i −0.632119 + 1.26543i
\(378\) 12.8298 + 4.93917i 0.659895 + 0.254043i
\(379\) 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
\(381\) 15.4561 + 10.3820i 0.791839 + 0.531886i
\(382\) −3.28104 + 12.2450i −0.167873 + 0.626510i
\(383\) −19.2054 + 19.2054i −0.981351 + 0.981351i −0.999829 0.0184784i \(-0.994118\pi\)
0.0184784 + 0.999829i \(0.494118\pi\)
\(384\) 0.560745 1.63877i 0.0286154 0.0836281i
\(385\) −9.07868 + 20.0263i −0.462692 + 1.02064i
\(386\) 1.74444 1.00715i 0.0887895 0.0512627i
\(387\) 10.5995 4.33005i 0.538803 0.220109i
\(388\) −5.96447 + 5.96447i −0.302800 + 0.302800i
\(389\) −3.66874 6.35444i −0.186012 0.322183i 0.757905 0.652365i \(-0.226223\pi\)
−0.943917 + 0.330182i \(0.892890\pi\)
\(390\) 27.1317 + 0.205062i 1.37387 + 0.0103837i
\(391\) 1.28605 0.0650382
\(392\) −5.81872 3.89134i −0.293890 0.196542i
\(393\) 27.1278 + 18.2220i 1.36842 + 0.919179i
\(394\) 6.84127i 0.344658i
\(395\) 1.30430 + 0.349486i 0.0656264 + 0.0175846i
\(396\) 0.721291 + 5.69304i 0.0362462 + 0.286086i
\(397\) −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
\(399\) 11.8662 + 11.1729i 0.594055 + 0.559343i
\(400\) −12.0172 6.93811i −0.600858 0.346905i
\(401\) −3.99356 + 14.9042i −0.199429 + 0.744278i 0.791647 + 0.610979i \(0.209224\pi\)
−0.991076 + 0.133300i \(0.957443\pi\)
\(402\) −2.04154 4.16540i −0.101823 0.207751i
\(403\) −26.5794 5.42861i −1.32401 0.270418i
\(404\) 13.8645 + 8.00466i 0.689783 + 0.398247i
\(405\) 0.381166 39.1002i 0.0189403 1.94291i
\(406\) −15.5766 12.7887i −0.773055 0.634691i
\(407\) 1.41754 + 2.45525i 0.0702649 + 0.121702i
\(408\) 1.19543 0.234759i 0.0591826 0.0116223i
\(409\) −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
\(411\) −1.44667 + 0.284097i −0.0713588 + 0.0140135i
\(412\) −0.281403 0.487403i −0.0138637 0.0240126i
\(413\) −16.8829 + 6.35039i −0.830754 + 0.312482i
\(414\) 0.689455 + 5.44176i 0.0338849 + 0.267448i
\(415\) 5.16538 + 2.98224i 0.253559 + 0.146392i
\(416\) −3.42010 + 1.14147i −0.167684 + 0.0559651i
\(417\) −7.73680 15.7855i −0.378873 0.773021i
\(418\) −1.76082 + 6.57146i −0.0861244 + 0.321421i
\(419\) −9.40071 5.42750i −0.459255 0.265151i 0.252476 0.967603i \(-0.418755\pi\)
−0.711731 + 0.702452i \(0.752088\pi\)
\(420\) −4.57220 + 19.3777i −0.223100 + 0.945535i
\(421\) 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
\(423\) 1.35248 0.171356i 0.0657600 0.00833161i
\(424\) 7.76690 + 2.08113i 0.377194 + 0.101069i
\(425\) 9.76005i 0.473432i
\(426\) −18.9914 12.7567i −0.920137 0.618065i
\(427\) −27.1256 + 2.66611i −1.31270 + 0.129022i
\(428\) 10.3926 0.502345
\(429\) 8.51051 8.38283i 0.410891 0.404727i
\(430\) 8.29097 + 14.3604i 0.399826 + 0.692519i
\(431\) −17.0428 + 17.0428i −0.820924 + 0.820924i −0.986241 0.165316i \(-0.947136\pi\)
0.165316 + 0.986241i \(0.447136\pi\)
\(432\) 1.63423 + 4.93247i 0.0786270 + 0.237314i
\(433\) −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
\(435\) −18.5581 + 54.2358i −0.889793 + 2.60041i
\(436\) −5.95029 + 5.95029i −0.284967 + 0.284967i
\(437\) −1.68310 + 6.28141i −0.0805136 + 0.300481i
\(438\) 20.4061 + 13.7069i 0.975039 + 0.654943i
\(439\) −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
\(441\) 20.9620 1.26285i 0.998190 0.0601356i
\(442\) −1.89809 1.68185i −0.0902830 0.0799977i
\(443\) −4.31236 2.48974i −0.204886 0.118291i 0.394046 0.919091i \(-0.371075\pi\)
−0.598933 + 0.800799i \(0.704408\pi\)
\(444\) 1.68791 + 1.93418i 0.0801046 + 0.0917921i
\(445\) −53.5762 −2.53975
\(446\) 11.4835 0.543759
\(447\) −27.2410 + 23.7725i −1.28845 + 1.12440i
\(448\) −0.258797 2.63306i −0.0122270 0.124401i
\(449\) 8.91938 33.2876i 0.420932 1.57094i −0.351718 0.936106i \(-0.614402\pi\)
0.772650 0.634832i \(-0.218931\pi\)
\(450\) 41.2985 5.23240i 1.94683 0.246658i
\(451\) −2.71690 + 4.70580i −0.127934 + 0.221588i
\(452\) 14.0291 0.659874
\(453\) 7.53280 + 2.57753i 0.353922 + 0.121103i
\(454\) 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
\(459\) −2.42980 + 2.73013i −0.113413 + 0.127431i
\(460\) −7.67322 + 2.05603i −0.357766 + 0.0958630i
\(461\) −13.1727 3.52962i −0.613515 0.164391i −0.0613369 0.998117i \(-0.519536\pi\)
−0.552178 + 0.833726i \(0.686203\pi\)
\(462\) 4.60926 + 7.45611i 0.214442 + 0.346889i
\(463\) 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 −0.643821 0.765177i \(-0.722652\pi\)
0.984573 + 0.174977i \(0.0559850\pi\)
\(468\) 6.09900 8.93321i 0.281926 0.412938i
\(469\) −5.47656 4.49635i −0.252884 0.207622i
\(470\) 0.511002 + 1.90709i 0.0235708 + 0.0879673i
\(471\) 8.33350 + 17.0030i 0.383987 + 0.783457i
\(472\) −5.90424 3.40882i −0.271765 0.156903i
\(473\) 7.05184 + 1.88953i 0.324244 + 0.0868809i
\(474\) 0.405591 0.353949i 0.0186294 0.0162574i
\(475\) 47.6708 + 12.7734i 2.18729 + 0.586082i
\(476\) 1.51287 1.08364i 0.0693422 0.0496687i
\(477\) −22.3312 + 9.12261i −1.02247 + 0.417695i
\(478\) 4.08220 2.35686i 0.186715 0.107800i
\(479\) 12.1470 + 12.1470i 0.555009 + 0.555009i 0.927882 0.372874i \(-0.121627\pi\)
−0.372874 + 0.927882i \(0.621627\pi\)
\(480\) −6.75724 + 3.31185i −0.308424 + 0.151165i
\(481\) 1.06936 5.23579i 0.0487588 0.238731i
\(482\) 10.5113i 0.478775i
\(483\) 4.40582 + 7.12701i 0.200472 + 0.324290i
\(484\) 3.67050 6.35750i 0.166841 0.288977i
\(485\) 36.6475 1.66408
\(486\) −12.8548 8.81777i −0.583107 0.399982i
\(487\) 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
\(489\) 12.1782 10.6276i 0.550716 0.480596i
\(490\) 5.92118 + 29.8308i 0.267492 + 1.34762i
\(491\) −3.28493 + 5.68966i −0.148247 + 0.256771i −0.930579 0.366090i \(-0.880696\pi\)
0.782333 + 0.622861i \(0.214030\pi\)
\(492\) −1.59290 + 4.65522i −0.0718134 + 0.209874i
\(493\) 4.64004 2.67893i 0.208977 0.120653i
\(494\) 10.6988 7.06970i 0.481360 0.318081i
\(495\) 15.2740 19.7058i 0.686513 0.885709i
\(496\) 7.26761 1.94735i 0.326325 0.0874386i
\(497\) −34.4789 5.69965i −1.54659 0.255664i
\(498\) 2.13514 1.04647i 0.0956779 0.0468936i
\(499\) −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
\(501\) −16.4992 + 3.24012i −0.737131 + 0.144758i
\(502\) −2.34170 8.73933i −0.104515 0.390055i
\(503\) 16.1705 9.33603i 0.721006 0.416273i −0.0941167 0.995561i \(-0.530003\pi\)
0.815123 + 0.579288i \(0.196669\pi\)
\(504\) 5.39637 + 5.82058i 0.240373 + 0.259269i
\(505\) −18.0022 67.1853i −0.801089 2.98971i
\(506\) −1.74875 + 3.02892i −0.0777413 + 0.134652i
\(507\) −22.4853 + 1.18768i −0.998608 + 0.0527466i
\(508\) 5.37491 + 9.30962i 0.238473 + 0.413048i
\(509\) 27.2472 + 7.30085i 1.20771 + 0.323605i 0.805863 0.592103i \(-0.201702\pi\)
0.401846 + 0.915707i \(0.368369\pi\)
\(510\) −4.39376 2.95133i −0.194559 0.130687i
\(511\) 37.0472 + 6.12421i 1.63887 + 0.270919i
\(512\) 0.707107 0.707107i 0.0312500 0.0312500i
\(513\) −10.1547 15.4408i −0.448342 0.681729i
\(514\) 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 −0.954243 0.299034i \(-0.903336\pi\)
−0.218151 + 0.975915i \(0.570002\pi\)
\(522\) 13.8231 + 18.1976i 0.605022 + 0.796489i
\(523\) 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
\(525\) 54.0882 33.4366i 2.36060 1.45929i
\(526\) −5.78363 + 21.5848i −0.252178 + 0.941141i
\(527\) 3.74208 + 3.74208i 0.163008 + 0.163008i
\(528\) −1.07262 + 3.13472i −0.0466798 + 0.136421i
\(529\) 9.82844 17.0234i 0.427323 0.740146i
\(530\) −17.4675 30.2546i −0.758741 1.31418i
\(531\) 20.2907 2.57077i 0.880541 0.111562i
\(532\) 3.31287 + 8.80748i 0.143631 + 0.381853i
\(533\) 9.71540 3.24255i 0.420821 0.140450i
\(534\) −11.9095 + 17.7301i −0.515375 + 0.767258i
\(535\) −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
\(540\) 10.1327 20.1739i 0.436042 0.868147i
\(541\) −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
\(546\) 2.81789 16.2806i 0.120595 0.696747i
\(547\) −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
\(552\) −1.02528 + 2.99636i −0.0436387 + 0.127534i
\(553\) 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 0.237177 0.971466i \(-0.423778\pi\)
−0.971466 + 0.237177i \(0.923778\pi\)
\(558\) −13.8281 + 17.8403i −0.585388 + 0.755242i
\(559\) −7.58650 11.4808i −0.320875 0.485588i
\(560\) −7.29410 + 8.88423i −0.308232 + 0.375427i
\(561\) −2.28668 + 0.449058i −0.0965436 + 0.0189593i
\(562\) 5.44284 + 9.42727i 0.229592 + 0.397665i
\(563\) −22.5671 + 39.0874i −0.951090 + 1.64734i −0.208019 + 0.978125i \(0.566702\pi\)
−0.743072 + 0.669212i \(0.766632\pi\)
\(564\) 0.744709 + 0.254820i 0.0313579 + 0.0107299i
\(565\) −43.0996 43.0996i −1.81321 1.81321i
\(566\) −3.60274 + 13.4456i −0.151434 + 0.565161i
\(567\) −23.4540 4.11240i −0.984974 0.172704i
\(568\) −6.60434 11.4390i −0.277112 0.479972i
\(569\) 19.2515 + 33.3446i 0.807065 + 1.39788i 0.914888 + 0.403708i \(0.132279\pi\)
−0.107823 + 0.994170i \(0.534388\pi\)
\(570\) 20.1654 17.5978i 0.844636 0.737092i
\(571\) 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
\(579\) −2.62867 + 2.29398i −0.109244 + 0.0953344i
\(580\) −23.4020 + 23.4020i −0.971716 + 0.971716i
\(581\) 2.30478 2.80722i 0.0956183 0.116463i
\(582\) 8.14642 12.1279i 0.337680 0.502717i
\(583\) −14.8569 3.98090i −0.615310 0.164872i
\(584\) 7.09629 + 12.2911i 0.293647 + 0.508611i
\(585\) −46.1812 + 8.70711i −1.90936 + 0.359995i
\(586\) −6.38973 + 11.0673i −0.263957 + 0.457187i
\(587\) −3.18558 11.8888i −0.131483 0.490701i 0.868505 0.495681i \(-0.165082\pi\)
−0.999988 + 0.00497976i \(0.998415\pi\)
\(588\) 11.1882 + 4.67159i 0.461394 + 0.192653i
\(589\) −23.1748 + 13.3800i −0.954901 + 0.551312i
\(590\) 7.66632 + 28.6111i 0.315618 + 1.17790i
\(591\) −2.28338 11.6273i −0.0939256 0.478285i
\(592\) 0.383602 + 1.43162i 0.0157660 + 0.0588393i
\(593\) −12.9309 + 3.46484i −0.531010 + 0.142284i −0.514355 0.857578i \(-0.671969\pi\)
−0.0166555 + 0.999861i \(0.505302\pi\)
\(594\) −3.12604 9.43508i −0.128263 0.387126i
\(595\) −7.97688 1.31864i −0.327020 0.0540591i
\(596\) −20.1630 + 5.40265i −0.825908 + 0.221301i
\(597\) −29.4712 19.7961i −1.20618 0.810200i
\(598\) 6.25337 2.08708i 0.255719 0.0853472i
\(599\) 0.589433 0.340309i 0.0240836 0.0139047i −0.487910 0.872894i \(-0.662241\pi\)
0.511993 + 0.858989i \(0.328907\pi\)
\(600\) 22.7399 + 7.78102i 0.928354 + 0.317659i
\(601\) −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
\(603\) 4.86005 + 6.39807i 0.197917 + 0.260550i
\(604\) 3.25030 + 3.25030i 0.132253 + 0.132253i
\(605\) −30.8075 + 8.25486i −1.25250 + 0.335608i
\(606\) −26.2356 8.97714i −1.06575 0.364672i
\(607\) 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
\(609\) 30.7423 + 16.5365i 1.24574 + 0.670094i
\(610\) 44.7585i 1.81222i
\(611\) −0.518720 1.55420i −0.0209851 0.0628762i
\(612\) −1.95339 + 0.797987i −0.0789609 + 0.0322567i
\(613\) 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
\(615\) 19.1952 9.40792i 0.774024 0.379364i
\(616\) 0.495040 + 5.03665i 0.0199457 + 0.202933i
\(617\) 12.8924 + 3.45450i 0.519028 + 0.139073i 0.508817 0.860875i \(-0.330083\pi\)
0.0102110 + 0.999948i \(0.496750\pi\)
\(618\) 0.640947 + 0.734463i 0.0257827 + 0.0295444i
\(619\) −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
\(621\) −2.98806 9.01863i −0.119907 0.361905i
\(622\) 7.01235 + 26.1705i 0.281170 + 1.04934i
\(623\) −5.32112 + 32.1891i −0.213186 + 1.28963i
\(624\) 5.43177 3.08153i 0.217445 0.123360i
\(625\) 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
\(630\) 1.30325 34.4602i 0.0519226 1.37293i
\(631\) 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
\(633\) −12.5063 + 18.6187i −0.497082 + 0.740025i
\(634\) 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
\(639\) 36.5353 + 15.3425i 1.44532 + 0.606939i
\(640\) −4.34468 −0.171738
\(641\) 6.45150 11.1743i 0.254819 0.441360i −0.710027 0.704174i \(-0.751317\pi\)
0.964846 + 0.262815i \(0.0846507\pi\)
\(642\) −17.6631 + 3.46868i −0.697108 + 0.136898i
\(643\) −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
\(645\) −18.8842 21.6395i −0.743566 0.852054i
\(646\) −2.50160 −0.0984242
\(647\) −2.75300 −0.108231 −0.0541157 0.998535i \(-0.517234\pi\)
−0.0541157 + 0.998535i \(0.517234\pi\)
\(648\) −4.42381 7.83772i −0.173784 0.307895i
\(649\) 11.2939 + 6.52055i 0.443325 + 0.255954i
\(650\) −15.8393 47.4580i −0.621267 1.86146i
\(651\) −7.91800 + 33.5577i −0.310331 + 1.31523i
\(652\) 9.01393 2.41528i 0.353013 0.0945895i
\(653\) 6.75178 3.89814i 0.264218 0.152546i −0.362039 0.932163i \(-0.617919\pi\)
0.626257 + 0.779617i \(0.284586\pi\)
\(654\) 8.12705 12.0991i 0.317793 0.473110i
\(655\) 21.2163 79.1805i 0.828991 3.09384i
\(656\) −2.00867 + 2.00867i −0.0784252 + 0.0784252i
\(657\) −39.2568 16.4853i −1.53155 0.643154i
\(658\) 1.19655 0.117606i 0.0466463 0.00458475i
\(659\) 30.1598 17.4128i 1.17486 0.678306i 0.220040 0.975491i \(-0.429381\pi\)
0.954820 + 0.297185i \(0.0960479\pi\)
\(660\) 12.9256 6.33508i 0.503127 0.246593i
\(661\) −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
\(663\) 3.78732 + 2.22494i 0.147087 + 0.0864096i
\(664\) 1.37282 0.0532759
\(665\) 16.8803 37.2355i 0.654589 1.44393i
\(666\) −3.51431 2.72394i −0.136177 0.105551i
\(667\) 13.9279i 0.539292i
\(668\) −9.37699 2.51256i −0.362807 0.0972138i
\(669\) −19.5172 + 3.83279i −0.754578 + 0.148184i
\(670\) −8.22788 + 8.22788i −0.317871 + 0.317871i
\(671\) 13.9343 + 13.9343i 0.537926 + 0.537926i
\(672\) 1.31867 + 4.38875i 0.0508690 + 0.169300i
\(673\) 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
\(675\) −68.4441 + 22.6769i −2.63441 + 0.872836i
\(676\) −11.9589 5.09763i −0.459956 0.196063i
\(677\) −28.1917 16.2765i −1.08349 0.625555i −0.151657 0.988433i \(-0.548461\pi\)
−0.931837 + 0.362878i \(0.881794\pi\)
\(678\) −23.8437 + 4.68243i −0.915713 + 0.179828i
\(679\) 3.63979 22.0182i 0.139682 0.844981i
\(680\) −1.52795 2.64648i −0.0585941 0.101488i
\(681\) 2.46207 + 12.5372i 0.0943466 + 0.480428i
\(682\) −13.9018 + 3.72499i −0.532329 + 0.142637i
\(683\) 14.9363 4.00216i 0.571520 0.153138i 0.0385265 0.999258i \(-0.487734\pi\)
0.532994 + 0.846119i \(0.321067\pi\)
\(684\) −1.34112 10.5852i −0.0512790 0.404737i
\(685\) 1.84907 + 3.20268i 0.0706492 + 0.122368i
\(686\) 18.5107 0.594751i 0.706742 0.0227077i
\(687\) 4.86169 + 24.7565i 0.185485 + 0.944520i
\(688\) 3.30528 + 1.90831i 0.126013 + 0.0727535i
\(689\) 15.9833 + 24.1880i 0.608917 + 0.921489i
\(690\) 12.3551 6.05546i 0.470350 0.230527i
\(691\) 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
\(693\) −10.3224 11.1339i −0.392117 0.422942i
\(694\) 17.1221 + 17.1221i 0.649944 + 0.649944i
\(695\) −31.1810 + 31.1810i −1.18276 + 1.18276i
\(696\) 2.54245 + 12.9466i 0.0963713 + 0.490738i
\(697\) −1.92995 0.517130i −0.0731022 0.0195877i
\(698\) 4.01617i 0.152014i
\(699\) −21.8917 + 32.5910i −0.828020 + 1.23271i
\(700\) 36.5370 3.59113i 1.38097 0.135732i
\(701\) −20.9371 −0.790783 −0.395392 0.918513i \(-0.629391\pi\)
−0.395392 + 0.918513i \(0.629391\pi\)
\(702\) −7.38420 + 17.2184i −0.278698 + 0.649867i
\(703\) −2.63568 4.56513i −0.0994065 0.172177i
\(704\) −1.35259 + 1.35259i −0.0509776 + 0.0509776i
\(705\) −1.50501 3.07071i −0.0566821 0.115649i
\(706\) −12.1648 + 7.02334i −0.457828 + 0.264327i
\(707\) −42.1536 + 4.14317i −1.58535 + 0.155820i
\(708\) 11.1725 + 3.82295i 0.419889 + 0.143675i
\(709\) −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
\(711\) −0.571201 + 0.736939i −0.0214217 + 0.0276374i
\(712\) −10.6793 + 6.16573i −0.400226 + 0.231070i
\(713\) −13.2882 + 3.56058i −0.497649 + 0.133345i
\(714\) −2.20957 + 2.34669i −0.0826911 + 0.0878227i
\(715\) −26.8063 13.3905i −1.00250 0.500776i
\(716\) 10.5859 + 6.11177i 0.395613 + 0.228408i
\(717\) −6.15142 + 5.36819i −0.229729 + 0.200479i
\(718\) 15.2521 0.569202
\(719\) 21.9643 0.819131 0.409565 0.912281i \(-0.365680\pi\)
0.409565 + 0.912281i \(0.365680\pi\)
\(720\) 10.3791 7.88412i 0.386808 0.293824i
\(721\) 1.35619 + 0.614812i 0.0505072 + 0.0228968i
\(722\) −1.64362 + 6.13407i −0.0611692 + 0.228286i
\(723\) −3.50830 17.8648i −0.130475 0.664401i
\(724\) −0.386405 + 0.669272i −0.0143606 + 0.0248733i
\(725\) 105.702 3.92566
\(726\) −4.11643 + 12.0302i −0.152775 + 0.446483i
\(727\) 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
\(732\) 14.8121 + 9.94942i 0.547471 + 0.367741i
\(733\) −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
\(735\) −20.0200 48.7237i −0.738451 1.79720i
\(736\) −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
\(741\) −15.8239 + 15.5865i −0.581304 + 0.572583i
\(742\) −19.9121 + 7.48981i −0.730998 + 0.274960i
\(743\) 0.458051 + 1.70947i 0.0168043 + 0.0627143i 0.973819 0.227325i \(-0.0729981\pi\)
−0.957015 + 0.290040i \(0.906331\pi\)
\(744\) −11.7020 + 5.73537i −0.429016 + 0.210269i
\(745\) 78.5415 + 45.3459i 2.87754 + 1.66135i
\(746\) 19.9181 + 5.33704i 0.729254 + 0.195403i
\(747\) −3.27958 + 2.49121i −0.119994 + 0.0911486i
\(748\) −1.29959 0.348223i −0.0475176 0.0127323i
\(749\) −22.3534 + 16.0114i −0.816776 + 0.585044i
\(750\) −29.3967 59.9787i −1.07342 2.19011i
\(751\) 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
\(753\) 6.89680 + 14.0717i 0.251333 + 0.512801i
\(754\) 18.2146 20.5564i 0.663335 0.748621i
\(755\) 19.9708i 0.726813i
\(756\) −11.1143 8.09147i −0.404224 0.294284i
\(757\) 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
\(759\) 1.96120 5.73158i 0.0711871 0.208043i
\(760\) 14.9258 3.99937i 0.541417 0.145072i
\(761\) 11.8216 + 11.8216i 0.428532 + 0.428532i 0.888128 0.459596i \(-0.152006\pi\)
−0.459596 + 0.888128i \(0.652006\pi\)
\(762\) −12.2424 14.0286i −0.443494 0.508201i
\(763\) 3.63114 21.9659i 0.131456 0.795218i
\(764\) 6.33849 10.9786i 0.229319 0.397191i
\(765\) 8.45263 + 3.54956i 0.305606 + 0.128335i
\(766\) 23.5217 13.5803i 0.849875 0.490675i
\(767\) −7.78211 23.3169i −0.280996 0.841926i
\(768\) −0.965783 + 1.43780i −0.0348497 + 0.0518821i
\(769\) 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
\(771\) −10.4637 21.3493i −0.376842 0.768878i
\(772\) −1.94567 + 0.521340i −0.0700261 + 0.0187634i
\(773\) 0.849915 + 3.17193i 0.0305693 + 0.114086i 0.979525 0.201324i \(-0.0645245\pi\)
−0.948955 + 0.315410i \(0.897858\pi\)
\(774\) −11.3590 + 1.43916i −0.408292 +