Properties

Label 648.2.bb.b.347.4
Level $648$
Weight $2$
Character 648.347
Analytic conductor $5.174$
Analytic rank $0$
Dimension $1872$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 648 = 2^{3} \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 648.bb (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.17430605098\)
Analytic rank: \(0\)
Dimension: \(1872\)
Relative dimension: \(104\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 347.4
Character \(\chi\) \(=\) 648.347
Dual form 648.2.bb.b.155.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.40998 + 0.109397i) q^{2} +(-1.68916 + 0.383047i) q^{3} +(1.97606 - 0.308494i) q^{4} +(1.56805 + 1.03132i) q^{5} +(2.33978 - 0.724876i) q^{6} +(-1.43285 + 1.35182i) q^{7} +(-2.75246 + 0.651144i) q^{8} +(2.70655 - 1.29406i) q^{9} +O(q^{10})\) \(q+(-1.40998 + 0.109397i) q^{2} +(-1.68916 + 0.383047i) q^{3} +(1.97606 - 0.308494i) q^{4} +(1.56805 + 1.03132i) q^{5} +(2.33978 - 0.724876i) q^{6} +(-1.43285 + 1.35182i) q^{7} +(-2.75246 + 0.651144i) q^{8} +(2.70655 - 1.29406i) q^{9} +(-2.32374 - 1.28260i) q^{10} +(2.52985 - 5.03734i) q^{11} +(-3.21973 + 1.27802i) q^{12} +(2.28524 + 0.985757i) q^{13} +(1.87240 - 2.06279i) q^{14} +(-3.04374 - 1.14144i) q^{15} +(3.80966 - 1.21921i) q^{16} +(0.900719 - 1.07343i) q^{17} +(-3.67460 + 2.12068i) q^{18} +(-4.83530 + 4.05730i) q^{19} +(3.41673 + 1.55423i) q^{20} +(1.90251 - 2.83230i) q^{21} +(-3.01595 + 7.37928i) q^{22} +(3.27681 - 3.47321i) q^{23} +(4.39993 - 2.15421i) q^{24} +(-0.585243 - 1.35675i) q^{25} +(-3.32998 - 1.13990i) q^{26} +(-4.07612 + 3.22261i) q^{27} +(-2.41437 + 3.11332i) q^{28} +(-0.586775 - 0.0685842i) q^{29} +(4.41647 + 1.27642i) q^{30} +(0.791118 - 3.33799i) q^{31} +(-5.23816 + 2.13582i) q^{32} +(-2.34379 + 9.47794i) q^{33} +(-1.15256 + 1.61205i) q^{34} +(-3.64095 + 0.641997i) q^{35} +(4.94911 - 3.39210i) q^{36} +(6.70312 + 1.18194i) q^{37} +(6.37380 - 6.24965i) q^{38} +(-4.23774 - 0.789750i) q^{39} +(-4.98753 - 1.81764i) q^{40} +(6.63764 - 4.94154i) q^{41} +(-2.37264 + 4.20160i) q^{42} +(0.361809 + 6.21202i) q^{43} +(3.44515 - 10.7345i) q^{44} +(5.57860 + 0.762177i) q^{45} +(-4.24026 + 5.25562i) q^{46} +(10.9982 - 2.60663i) q^{47} +(-5.96813 + 3.51872i) q^{48} +(-0.181384 + 3.11424i) q^{49} +(0.973603 + 1.84896i) q^{50} +(-1.11029 + 2.15822i) q^{51} +(4.81989 + 1.24294i) q^{52} +(-5.68364 + 9.84435i) q^{53} +(5.39469 - 4.98972i) q^{54} +(9.16205 - 5.28971i) q^{55} +(3.06362 - 4.65383i) q^{56} +(6.61347 - 8.70558i) q^{57} +(0.834842 + 0.0325107i) q^{58} +(-1.55542 - 3.09709i) q^{59} +(-6.36675 - 1.31658i) q^{60} +(13.2856 + 3.97744i) q^{61} +(-0.750292 + 4.79303i) q^{62} +(-2.12874 + 5.51297i) q^{63} +(7.15202 - 3.58449i) q^{64} +(2.56674 + 3.90254i) q^{65} +(2.26783 - 13.6201i) q^{66} +(-2.81936 + 0.329536i) q^{67} +(1.44873 - 2.39904i) q^{68} +(-4.20466 + 7.12200i) q^{69} +(5.06342 - 1.30351i) q^{70} +(2.45769 - 0.894526i) q^{71} +(-6.60704 + 5.32419i) q^{72} +(7.31955 + 2.66410i) q^{73} +(-9.58054 - 0.933209i) q^{74} +(1.50827 + 2.06759i) q^{75} +(-8.30321 + 9.50914i) q^{76} +(3.18470 + 10.6377i) q^{77} +(6.06151 + 0.649933i) q^{78} +(12.1962 + 9.07974i) q^{79} +(7.23114 + 2.01722i) q^{80} +(5.65082 - 7.00487i) q^{81} +(-8.81832 + 7.69359i) q^{82} +(6.07772 + 4.52470i) q^{83} +(2.88573 - 6.18372i) q^{84} +(2.51943 - 0.754268i) q^{85} +(-1.18972 - 8.71922i) q^{86} +(1.01743 - 0.108913i) q^{87} +(-3.68326 + 15.5123i) q^{88} +(2.62333 - 7.20753i) q^{89} +(-7.94907 - 0.464370i) q^{90} +(-4.60698 + 1.67680i) q^{91} +(5.40372 - 7.87417i) q^{92} +(-0.0577203 + 5.94144i) q^{93} +(-15.2221 + 4.87845i) q^{94} +(-11.7664 + 1.37529i) q^{95} +(8.02999 - 5.61421i) q^{96} +(-7.99428 + 5.25792i) q^{97} +(-0.0849408 - 4.41084i) q^{98} +(0.328541 - 16.9076i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} + O(q^{10}) \) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} - 18q^{10} - 36q^{11} - 18q^{12} - 18q^{14} - 18q^{16} - 36q^{17} - 90q^{18} - 36q^{19} - 18q^{20} - 18q^{22} - 18q^{24} - 36q^{25} - 27q^{26} - 36q^{27} - 9q^{28} - 18q^{30} - 18q^{32} - 36q^{33} - 18q^{34} - 36q^{35} - 18q^{36} + 90q^{38} - 18q^{40} - 36q^{41} - 63q^{42} - 36q^{43} + 54q^{44} - 18q^{46} + 81q^{48} - 36q^{49} - 135q^{50} - 54q^{51} - 18q^{52} - 144q^{54} + 108q^{56} - 36q^{57} - 18q^{58} + 18q^{59} + 99q^{60} - 117q^{62} - 18q^{64} - 36q^{65} - 90q^{66} - 36q^{67} + 243q^{68} - 18q^{70} - 18q^{72} - 36q^{73} - 18q^{74} - 36q^{75} - 54q^{76} - 45q^{78} - 36q^{81} - 36q^{82} - 36q^{83} + 9q^{84} - 18q^{86} + 54q^{88} - 198q^{89} - 81q^{90} - 36q^{91} - 108q^{92} - 18q^{94} - 423q^{96} - 36q^{97} - 189q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).

\(n\) \(325\) \(487\) \(569\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{11}{54}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.40998 + 0.109397i −0.997004 + 0.0773552i
\(3\) −1.68916 + 0.383047i −0.975239 + 0.221152i
\(4\) 1.97606 0.308494i 0.988032 0.154247i
\(5\) 1.56805 + 1.03132i 0.701254 + 0.461222i 0.849404 0.527743i \(-0.176962\pi\)
−0.148150 + 0.988965i \(0.547332\pi\)
\(6\) 2.33978 0.724876i 0.955210 0.295930i
\(7\) −1.43285 + 1.35182i −0.541566 + 0.510941i −0.907699 0.419621i \(-0.862163\pi\)
0.366133 + 0.930562i \(0.380681\pi\)
\(8\) −2.75246 + 0.651144i −0.973140 + 0.230214i
\(9\) 2.70655 1.29406i 0.902183 0.431353i
\(10\) −2.32374 1.28260i −0.734830 0.405594i
\(11\) 2.52985 5.03734i 0.762777 1.51881i −0.0896527 0.995973i \(-0.528576\pi\)
0.852430 0.522841i \(-0.175128\pi\)
\(12\) −3.21973 + 1.27802i −0.929456 + 0.368933i
\(13\) 2.28524 + 0.985757i 0.633812 + 0.273400i 0.688648 0.725095i \(-0.258204\pi\)
−0.0548362 + 0.998495i \(0.517464\pi\)
\(14\) 1.87240 2.06279i 0.500420 0.551303i
\(15\) −3.04374 1.14144i −0.785890 0.294718i
\(16\) 3.80966 1.21921i 0.952416 0.304802i
\(17\) 0.900719 1.07343i 0.218456 0.260346i −0.645675 0.763612i \(-0.723424\pi\)
0.864132 + 0.503266i \(0.167868\pi\)
\(18\) −3.67460 + 2.12068i −0.866112 + 0.499849i
\(19\) −4.83530 + 4.05730i −1.10929 + 0.930807i −0.998015 0.0629819i \(-0.979939\pi\)
−0.111278 + 0.993789i \(0.535495\pi\)
\(20\) 3.41673 + 1.55423i 0.764003 + 0.347536i
\(21\) 1.90251 2.83230i 0.415161 0.618059i
\(22\) −3.01595 + 7.37928i −0.643004 + 1.57327i
\(23\) 3.27681 3.47321i 0.683261 0.724215i −0.289203 0.957268i \(-0.593390\pi\)
0.972464 + 0.233053i \(0.0748716\pi\)
\(24\) 4.39993 2.15421i 0.898132 0.439726i
\(25\) −0.585243 1.35675i −0.117049 0.271349i
\(26\) −3.32998 1.13990i −0.653062 0.223552i
\(27\) −4.07612 + 3.22261i −0.784450 + 0.620192i
\(28\) −2.41437 + 3.11332i −0.456274 + 0.588362i
\(29\) −0.586775 0.0685842i −0.108961 0.0127358i 0.0614374 0.998111i \(-0.480432\pi\)
−0.170399 + 0.985375i \(0.554506\pi\)
\(30\) 4.41647 + 1.27642i 0.806333 + 0.233042i
\(31\) 0.791118 3.33799i 0.142089 0.599520i −0.854677 0.519160i \(-0.826245\pi\)
0.996766 0.0803601i \(-0.0256070\pi\)
\(32\) −5.23816 + 2.13582i −0.925984 + 0.377563i
\(33\) −2.34379 + 9.47794i −0.408001 + 1.64990i
\(34\) −1.15256 + 1.61205i −0.197663 + 0.276465i
\(35\) −3.64095 + 0.641997i −0.615433 + 0.108517i
\(36\) 4.94911 3.39210i 0.824851 0.565350i
\(37\) 6.70312 + 1.18194i 1.10199 + 0.194310i 0.694919 0.719088i \(-0.255440\pi\)
0.407067 + 0.913398i \(0.366551\pi\)
\(38\) 6.37380 6.24965i 1.03397 1.01383i
\(39\) −4.23774 0.789750i −0.678582 0.126461i
\(40\) −4.98753 1.81764i −0.788598 0.287395i
\(41\) 6.63764 4.94154i 1.03662 0.771739i 0.0625676 0.998041i \(-0.480071\pi\)
0.974057 + 0.226302i \(0.0726637\pi\)
\(42\) −2.37264 + 4.20160i −0.366107 + 0.648322i
\(43\) 0.361809 + 6.21202i 0.0551753 + 0.947324i 0.906373 + 0.422479i \(0.138840\pi\)
−0.851198 + 0.524845i \(0.824123\pi\)
\(44\) 3.44515 10.7345i 0.519376 1.61829i
\(45\) 5.57860 + 0.762177i 0.831609 + 0.113619i
\(46\) −4.24026 + 5.25562i −0.625192 + 0.774899i
\(47\) 10.9982 2.60663i 1.60426 0.380216i 0.671581 0.740931i \(-0.265616\pi\)
0.932676 + 0.360715i \(0.117467\pi\)
\(48\) −5.96813 + 3.51872i −0.861426 + 0.507884i
\(49\) −0.181384 + 3.11424i −0.0259119 + 0.444891i
\(50\) 0.973603 + 1.84896i 0.137688 + 0.261482i
\(51\) −1.11029 + 2.15822i −0.155471 + 0.302212i
\(52\) 4.81989 + 1.24294i 0.668398 + 0.172364i
\(53\) −5.68364 + 9.84435i −0.780707 + 1.35223i 0.150823 + 0.988561i \(0.451808\pi\)
−0.931530 + 0.363664i \(0.881526\pi\)
\(54\) 5.39469 4.98972i 0.734124 0.679015i
\(55\) 9.16205 5.28971i 1.23541 0.713265i
\(56\) 3.06362 4.65383i 0.409394 0.621894i
\(57\) 6.61347 8.70558i 0.875976 1.15308i
\(58\) 0.834842 + 0.0325107i 0.109620 + 0.00426887i
\(59\) −1.55542 3.09709i −0.202498 0.403207i 0.769346 0.638833i \(-0.220582\pi\)
−0.971844 + 0.235626i \(0.924286\pi\)
\(60\) −6.36675 1.31658i −0.821944 0.169969i
\(61\) 13.2856 + 3.97744i 1.70104 + 0.509259i 0.982506 0.186231i \(-0.0596273\pi\)
0.718536 + 0.695490i \(0.244812\pi\)
\(62\) −0.750292 + 4.79303i −0.0952872 + 0.608715i
\(63\) −2.12874 + 5.51297i −0.268196 + 0.694569i
\(64\) 7.15202 3.58449i 0.894003 0.448061i
\(65\) 2.56674 + 3.90254i 0.318365 + 0.484051i
\(66\) 2.26783 13.6201i 0.279150 1.67651i
\(67\) −2.81936 + 0.329536i −0.344440 + 0.0402592i −0.286554 0.958064i \(-0.592510\pi\)
−0.0578853 + 0.998323i \(0.518436\pi\)
\(68\) 1.44873 2.39904i 0.175684 0.290927i
\(69\) −4.20466 + 7.12200i −0.506182 + 0.857388i
\(70\) 5.06342 1.30351i 0.605194 0.155799i
\(71\) 2.45769 0.894526i 0.291674 0.106161i −0.192039 0.981387i \(-0.561510\pi\)
0.483713 + 0.875227i \(0.339288\pi\)
\(72\) −6.60704 + 5.32419i −0.778647 + 0.627462i
\(73\) 7.31955 + 2.66410i 0.856689 + 0.311809i 0.732764 0.680483i \(-0.238230\pi\)
0.123924 + 0.992292i \(0.460452\pi\)
\(74\) −9.58054 0.933209i −1.11372 0.108483i
\(75\) 1.50827 + 2.06759i 0.174160 + 0.238745i
\(76\) −8.30321 + 9.50914i −0.952443 + 1.09077i
\(77\) 3.18470 + 10.6377i 0.362931 + 1.21227i
\(78\) 6.06151 + 0.649933i 0.686331 + 0.0735905i
\(79\) 12.1962 + 9.07974i 1.37218 + 1.02155i 0.995456 + 0.0952250i \(0.0303571\pi\)
0.376724 + 0.926325i \(0.377050\pi\)
\(80\) 7.23114 + 2.01722i 0.808466 + 0.225532i
\(81\) 5.65082 7.00487i 0.627869 0.778319i
\(82\) −8.81832 + 7.69359i −0.973821 + 0.849614i
\(83\) 6.07772 + 4.52470i 0.667117 + 0.496650i 0.876636 0.481155i \(-0.159782\pi\)
−0.209519 + 0.977805i \(0.567190\pi\)
\(84\) 2.88573 6.18372i 0.314859 0.674699i
\(85\) 2.51943 0.754268i 0.273271 0.0818118i
\(86\) −1.18972 8.71922i −0.128290 0.940217i
\(87\) 1.01743 0.108913i 0.109080 0.0116767i
\(88\) −3.68326 + 15.5123i −0.392637 + 1.65362i
\(89\) 2.62333 7.20753i 0.278072 0.763996i −0.719509 0.694483i \(-0.755633\pi\)
0.997581 0.0695134i \(-0.0221447\pi\)
\(90\) −7.94907 0.464370i −0.837906 0.0489489i
\(91\) −4.60698 + 1.67680i −0.482943 + 0.175777i
\(92\) 5.40372 7.87417i 0.563377 0.820939i
\(93\) −0.0577203 + 5.94144i −0.00598532 + 0.616099i
\(94\) −15.2221 + 4.87845i −1.57004 + 0.503174i
\(95\) −11.7664 + 1.37529i −1.20720 + 0.141102i
\(96\) 8.02999 5.61421i 0.819557 0.572998i
\(97\) −7.99428 + 5.25792i −0.811697 + 0.533861i −0.886169 0.463362i \(-0.846643\pi\)
0.0744726 + 0.997223i \(0.476273\pi\)
\(98\) −0.0849408 4.41084i −0.00858032 0.445562i
\(99\) 0.328541 16.9076i 0.0330196 1.69928i
\(100\) −1.57503 2.50048i −0.157503 0.250048i
\(101\) 2.95957 9.88566i 0.294488 0.983660i −0.674855 0.737950i \(-0.735794\pi\)
0.969343 0.245710i \(-0.0790210\pi\)
\(102\) 1.32937 3.16451i 0.131628 0.313333i
\(103\) −5.31357 10.5802i −0.523561 1.04250i −0.987645 0.156705i \(-0.949913\pi\)
0.464084 0.885791i \(-0.346384\pi\)
\(104\) −6.93190 1.22523i −0.679729 0.120144i
\(105\) 5.90424 2.47909i 0.576195 0.241935i
\(106\) 6.93685 14.5021i 0.673767 1.40856i
\(107\) −6.56311 + 3.78921i −0.634480 + 0.366317i −0.782485 0.622669i \(-0.786048\pi\)
0.148005 + 0.988987i \(0.452715\pi\)
\(108\) −7.06052 + 7.62555i −0.679399 + 0.733769i
\(109\) −5.58323 3.22348i −0.534776 0.308753i 0.208183 0.978090i \(-0.433245\pi\)
−0.742959 + 0.669337i \(0.766578\pi\)
\(110\) −12.3396 + 8.46067i −1.17653 + 0.806693i
\(111\) −11.7754 + 0.571120i −1.11767 + 0.0542083i
\(112\) −3.81052 + 6.89693i −0.360061 + 0.651699i
\(113\) −7.41713 0.431999i −0.697745 0.0406390i −0.294394 0.955684i \(-0.595118\pi\)
−0.403351 + 0.915045i \(0.632155\pi\)
\(114\) −8.37247 + 12.9982i −0.784154 + 1.21739i
\(115\) 8.72020 2.06673i 0.813163 0.192723i
\(116\) −1.18066 + 0.0454896i −0.109622 + 0.00422360i
\(117\) 7.46075 0.289238i 0.689747 0.0267401i
\(118\) 2.53191 + 4.19667i 0.233081 + 0.386334i
\(119\) 0.160500 + 2.75568i 0.0147130 + 0.252613i
\(120\) 9.12100 + 1.15984i 0.832629 + 0.105879i
\(121\) −12.4059 16.6640i −1.12781 1.51491i
\(122\) −19.1674 4.15469i −1.73534 0.376148i
\(123\) −9.31921 + 10.8896i −0.840285 + 0.981882i
\(124\) 0.533552 6.84013i 0.0479144 0.614262i
\(125\) 2.11107 11.9725i 0.188820 1.07085i
\(126\) 2.39837 8.00603i 0.213664 0.713234i
\(127\) −7.73829 + 1.36447i −0.686662 + 0.121077i −0.506085 0.862484i \(-0.668908\pi\)
−0.180577 + 0.983561i \(0.557797\pi\)
\(128\) −9.69205 + 5.83645i −0.856664 + 0.515874i
\(129\) −2.99065 10.3545i −0.263312 0.911665i
\(130\) −4.04597 5.22170i −0.354855 0.457973i
\(131\) −3.63842 + 15.3517i −0.317890 + 1.34128i 0.546076 + 0.837735i \(0.316121\pi\)
−0.863967 + 0.503549i \(0.832027\pi\)
\(132\) −1.70759 + 19.4521i −0.148627 + 1.69308i
\(133\) 1.44350 12.3500i 0.125168 1.07088i
\(134\) 3.93918 0.773066i 0.340293 0.0667828i
\(135\) −9.71512 + 0.849426i −0.836144 + 0.0731069i
\(136\) −1.78023 + 3.54108i −0.152653 + 0.303645i
\(137\) 3.16850 1.36676i 0.270703 0.116770i −0.256401 0.966570i \(-0.582537\pi\)
0.527104 + 0.849800i \(0.323278\pi\)
\(138\) 5.14935 10.5018i 0.438341 0.893974i
\(139\) 14.1186 14.9648i 1.19752 1.26930i 0.243386 0.969929i \(-0.421742\pi\)
0.954137 0.299371i \(-0.0967768\pi\)
\(140\) −6.99670 + 2.39184i −0.591329 + 0.202147i
\(141\) −17.5794 + 8.61587i −1.48045 + 0.725587i
\(142\) −3.36743 + 1.53012i −0.282588 + 0.128405i
\(143\) 10.7469 9.01772i 0.898701 0.754100i
\(144\) 8.73332 8.22977i 0.727776 0.685814i
\(145\) −0.849361 0.712698i −0.0705356 0.0591864i
\(146\) −10.6118 2.95558i −0.878242 0.244606i
\(147\) −0.886513 5.32993i −0.0731184 0.439606i
\(148\) 13.6104 + 0.267722i 1.11877 + 0.0220066i
\(149\) −8.80781 + 20.4188i −0.721564 + 1.67277i 0.0181359 + 0.999836i \(0.494227\pi\)
−0.739700 + 0.672937i \(0.765032\pi\)
\(150\) −2.35281 2.75026i −0.192106 0.224557i
\(151\) −2.86217 + 5.69905i −0.232920 + 0.463782i −0.979481 0.201535i \(-0.935407\pi\)
0.746561 + 0.665317i \(0.231703\pi\)
\(152\) 10.6671 14.3160i 0.865213 1.16118i
\(153\) 1.04875 4.07089i 0.0847865 0.329112i
\(154\) −5.65408 14.6504i −0.455619 1.18057i
\(155\) 4.68306 4.41824i 0.376152 0.354881i
\(156\) −8.61768 0.253281i −0.689967 0.0202787i
\(157\) −0.340408 + 0.517565i −0.0271675 + 0.0413062i −0.848816 0.528688i \(-0.822684\pi\)
0.821649 + 0.569994i \(0.193055\pi\)
\(158\) −18.1897 11.4680i −1.44709 0.912344i
\(159\) 5.82974 18.8058i 0.462329 1.49140i
\(160\) −10.4164 2.05316i −0.823490 0.162317i
\(161\) 9.40626i 0.741317i
\(162\) −7.20121 + 10.4949i −0.565781 + 0.824556i
\(163\) −1.71358 −0.134218 −0.0671090 0.997746i \(-0.521378\pi\)
−0.0671090 + 0.997746i \(0.521378\pi\)
\(164\) 11.5920 11.8125i 0.905181 0.922399i
\(165\) −13.4500 + 12.4447i −1.04708 + 0.968818i
\(166\) −9.06443 5.71483i −0.703536 0.443557i
\(167\) 14.8751 + 9.78351i 1.15107 + 0.757071i 0.973871 0.227104i \(-0.0729257\pi\)
0.177200 + 0.984175i \(0.443296\pi\)
\(168\) −3.39233 + 9.03459i −0.261724 + 0.697034i
\(169\) −4.67053 4.95047i −0.359271 0.380805i
\(170\) −3.46982 + 1.33912i −0.266123 + 0.102706i
\(171\) −7.83659 + 17.2384i −0.599279 + 1.31826i
\(172\) 2.63133 + 12.1637i 0.200637 + 0.927476i
\(173\) 4.86840 + 2.44500i 0.370138 + 0.185890i 0.624138 0.781314i \(-0.285450\pi\)
−0.254000 + 0.967204i \(0.581746\pi\)
\(174\) −1.42264 + 0.264868i −0.107850 + 0.0200796i
\(175\) 2.67265 + 1.15287i 0.202033 + 0.0871486i
\(176\) 3.49631 22.2750i 0.263544 1.67904i
\(177\) 3.81369 + 4.63569i 0.286654 + 0.348440i
\(178\) −2.91035 + 10.4494i −0.218140 + 0.783218i
\(179\) 3.00604 3.58246i 0.224682 0.267766i −0.641913 0.766777i \(-0.721859\pi\)
0.866595 + 0.499012i \(0.166303\pi\)
\(180\) 11.2588 0.214852i 0.839181 0.0160141i
\(181\) 2.36904 + 2.82331i 0.176089 + 0.209855i 0.846869 0.531802i \(-0.178485\pi\)
−0.670780 + 0.741657i \(0.734040\pi\)
\(182\) 6.31229 2.86824i 0.467898 0.212608i
\(183\) −23.9650 1.62954i −1.77155 0.120459i
\(184\) −6.75771 + 11.6935i −0.498185 + 0.862059i
\(185\) 9.29187 + 8.76643i 0.683152 + 0.644521i
\(186\) −0.568590 8.38361i −0.0416911 0.614716i
\(187\) −3.12857 7.25285i −0.228784 0.530381i
\(188\) 20.9291 8.54375i 1.52641 0.623117i
\(189\) 1.48406 10.1277i 0.107949 0.736683i
\(190\) 16.4398 3.22633i 1.19267 0.234063i
\(191\) −14.3764 1.68036i −1.04024 0.121587i −0.421218 0.906959i \(-0.638397\pi\)
−0.619023 + 0.785373i \(0.712471\pi\)
\(192\) −10.7079 + 8.79435i −0.772777 + 0.634678i
\(193\) −7.32338 1.73567i −0.527149 0.124937i −0.0415802 0.999135i \(-0.513239\pi\)
−0.485568 + 0.874199i \(0.661387\pi\)
\(194\) 10.6966 8.28810i 0.767968 0.595051i
\(195\) −5.83050 5.60885i −0.417531 0.401658i
\(196\) 0.602296 + 6.20989i 0.0430212 + 0.443563i
\(197\) 0.962687 + 5.45967i 0.0685886 + 0.388985i 0.999706 + 0.0242646i \(0.00772443\pi\)
−0.931117 + 0.364721i \(0.881164\pi\)
\(198\) 1.38640 + 23.8752i 0.0985271 + 1.69674i
\(199\) −9.43927 1.66440i −0.669132 0.117986i −0.171246 0.985228i \(-0.554779\pi\)
−0.497886 + 0.867242i \(0.665890\pi\)
\(200\) 2.49429 + 3.35331i 0.176373 + 0.237115i
\(201\) 4.63613 1.63659i 0.327008 0.115436i
\(202\) −3.09147 + 14.2623i −0.217515 + 1.00349i
\(203\) 0.933474 0.694946i 0.0655170 0.0487756i
\(204\) −1.52820 + 4.60731i −0.106995 + 0.322576i
\(205\) 15.5045 0.903033i 1.08288 0.0630705i
\(206\) 8.64944 + 14.3365i 0.602635 + 0.998873i
\(207\) 4.37430 13.6408i 0.304035 0.948101i
\(208\) 9.90785 + 0.969221i 0.686986 + 0.0672034i
\(209\) 8.20541 + 34.6214i 0.567580 + 2.39481i
\(210\) −8.05364 + 4.14137i −0.555754 + 0.285782i
\(211\) 0.00219330 0.0376574i 0.000150993 0.00259244i −0.998232 0.0594410i \(-0.981068\pi\)
0.998383 + 0.0568486i \(0.0181052\pi\)
\(212\) −8.19432 + 21.2064i −0.562788 + 1.45646i
\(213\) −3.80880 + 2.45241i −0.260974 + 0.168037i
\(214\) 8.83930 6.06069i 0.604242 0.414300i
\(215\) −5.83926 + 10.1139i −0.398234 + 0.689762i
\(216\) 9.12095 11.5242i 0.620602 0.784125i
\(217\) 3.37882 + 5.85229i 0.229369 + 0.397279i
\(218\) 8.22486 + 3.93424i 0.557058 + 0.266460i
\(219\) −13.3844 1.69637i −0.904434 0.114630i
\(220\) 16.4730 13.2792i 1.11061 0.895287i
\(221\) 3.11651 1.56517i 0.209639 0.105285i
\(222\) 16.5406 2.09346i 1.11013 0.140504i
\(223\) 12.4299 + 3.72127i 0.832368 + 0.249195i 0.674509 0.738267i \(-0.264356\pi\)
0.157859 + 0.987462i \(0.449541\pi\)
\(224\) 4.61824 10.1414i 0.308569 0.677599i
\(225\) −3.33970 2.91476i −0.222647 0.194318i
\(226\) 10.5052 0.202302i 0.698798 0.0134570i
\(227\) −10.9467 16.6436i −0.726556 1.10468i −0.990146 0.140040i \(-0.955277\pi\)
0.263590 0.964635i \(-0.415094\pi\)
\(228\) 10.3830 19.2430i 0.687633 1.27440i
\(229\) −0.936281 8.01039i −0.0618712 0.529342i −0.988261 0.152776i \(-0.951179\pi\)
0.926390 0.376566i \(-0.122895\pi\)
\(230\) −12.0692 + 3.86800i −0.795818 + 0.255048i
\(231\) −9.45421 16.7488i −0.622042 1.10199i
\(232\) 1.65973 0.193300i 0.108967 0.0126908i
\(233\) −4.89397 13.4461i −0.320615 0.880882i −0.990388 0.138316i \(-0.955831\pi\)
0.669773 0.742566i \(-0.266391\pi\)
\(234\) −10.4878 + 1.22400i −0.685611 + 0.0800154i
\(235\) 19.9341 + 7.25540i 1.30035 + 0.473290i
\(236\) −4.02904 5.64021i −0.262268 0.367147i
\(237\) −24.0794 10.6654i −1.56412 0.692795i
\(238\) −0.527764 3.86789i −0.0342099 0.250718i
\(239\) 6.18110 + 20.6463i 0.399822 + 1.33550i 0.886828 + 0.462099i \(0.152904\pi\)
−0.487006 + 0.873398i \(0.661911\pi\)
\(240\) −12.9873 0.637540i −0.838325 0.0411530i
\(241\) 5.78823 7.77494i 0.372853 0.500828i −0.575607 0.817727i \(-0.695234\pi\)
0.948459 + 0.316899i \(0.102641\pi\)
\(242\) 19.3150 + 22.1387i 1.24162 + 1.42313i
\(243\) −6.86197 + 13.9969i −0.440195 + 0.897902i
\(244\) 27.4801 + 3.76116i 1.75924 + 0.240784i
\(245\) −3.49620 + 4.69621i −0.223364 + 0.300030i
\(246\) 11.9486 16.3736i 0.761814 1.04394i
\(247\) −15.0493 + 4.50547i −0.957566 + 0.286676i
\(248\) −0.00400672 + 9.70279i −0.000254427 + 0.616128i
\(249\) −11.9994 5.31490i −0.760434 0.336818i
\(250\) −1.66681 + 17.1119i −0.105418 + 1.08225i
\(251\) 6.30767 17.3302i 0.398137 1.09387i −0.565055 0.825054i \(-0.691145\pi\)
0.963191 0.268818i \(-0.0866329\pi\)
\(252\) −2.50581 + 11.5507i −0.157851 + 0.727625i
\(253\) −9.20593 25.2931i −0.578772 1.59016i
\(254\) 10.7615 2.77041i 0.675239 0.173831i
\(255\) −3.96681 + 2.23914i −0.248411 + 0.140221i
\(256\) 13.0271 9.28953i 0.814192 0.580596i
\(257\) −1.29568 11.0852i −0.0808222 0.691479i −0.971532 0.236907i \(-0.923866\pi\)
0.890710 0.454572i \(-0.150208\pi\)
\(258\) 5.34950 + 14.2725i 0.333045 + 0.888565i
\(259\) −11.2023 + 7.36790i −0.696080 + 0.457819i
\(260\) 6.27596 + 6.91985i 0.389218 + 0.429151i
\(261\) −1.67689 + 0.573695i −0.103797 + 0.0355108i
\(262\) 3.45066 22.0436i 0.213182 1.36186i
\(263\) 4.71612 15.7529i 0.290808 0.971367i −0.680341 0.732895i \(-0.738168\pi\)
0.971149 0.238471i \(-0.0766464\pi\)
\(264\) 0.279668 27.6138i 0.0172124 1.69951i
\(265\) −19.0649 + 9.57477i −1.17115 + 0.588173i
\(266\) −0.684260 + 17.5711i −0.0419547 + 1.07735i
\(267\) −1.67040 + 13.1796i −0.102227 + 0.806576i
\(268\) −5.46958 + 1.52094i −0.334108 + 0.0929061i
\(269\) −2.92403 5.06457i −0.178281 0.308792i 0.763011 0.646386i \(-0.223720\pi\)
−0.941292 + 0.337594i \(0.890387\pi\)
\(270\) 13.6052 2.26047i 0.827984 0.137568i
\(271\) −1.60062 0.924120i −0.0972309 0.0561363i 0.450596 0.892728i \(-0.351211\pi\)
−0.547827 + 0.836592i \(0.684545\pi\)
\(272\) 2.12270 5.18759i 0.128707 0.314544i
\(273\) 7.13965 4.59709i 0.432111 0.278228i
\(274\) −4.31799 + 2.27372i −0.260859 + 0.137360i
\(275\) −8.31497 0.484292i −0.501411 0.0292039i
\(276\) −6.11159 + 15.3706i −0.367874 + 0.925204i
\(277\) −5.56128 23.4649i −0.334145 1.40987i −0.837807 0.545967i \(-0.816162\pi\)
0.503662 0.863901i \(-0.331986\pi\)
\(278\) −18.2698 + 22.6446i −1.09575 + 1.35813i
\(279\) −2.17835 10.0582i −0.130415 0.602168i
\(280\) 9.60352 4.13785i 0.573920 0.247284i
\(281\) −3.41844 + 0.199101i −0.203927 + 0.0118774i −0.159804 0.987149i \(-0.551086\pi\)
−0.0441227 + 0.999026i \(0.514049\pi\)
\(282\) 23.8439 14.0713i 1.41988 0.837933i
\(283\) 7.10739 + 9.54688i 0.422490 + 0.567503i 0.961503 0.274795i \(-0.0886099\pi\)
−0.539013 + 0.842298i \(0.681202\pi\)
\(284\) 4.58060 2.52582i 0.271809 0.149880i
\(285\) 19.3485 6.83017i 1.14611 0.404584i
\(286\) −14.1664 + 13.8904i −0.837675 + 0.821360i
\(287\) −2.83065 + 16.0534i −0.167088 + 0.947602i
\(288\) −11.4135 + 12.5592i −0.672544 + 0.740057i
\(289\) 2.61105 + 14.8080i 0.153591 + 0.871059i
\(290\) 1.27554 + 0.911970i 0.0749026 + 0.0535527i
\(291\) 11.4896 11.9437i 0.673534 0.700151i
\(292\) 15.2858 + 3.00640i 0.894532 + 0.175936i
\(293\) −5.67361 1.34467i −0.331456 0.0785565i 0.0615183 0.998106i \(-0.480406\pi\)
−0.392974 + 0.919549i \(0.628554\pi\)
\(294\) 1.83304 + 7.41810i 0.106905 + 0.432632i
\(295\) 0.755128 6.46053i 0.0439652 0.376147i
\(296\) −19.2197 + 1.11145i −1.11712 + 0.0646020i
\(297\) 5.92144 + 28.6855i 0.343597 + 1.66450i
\(298\) 10.1850 29.7536i 0.590004 1.72358i
\(299\) 10.9120 4.70700i 0.631060 0.272213i
\(300\) 3.61828 + 3.62040i 0.208901 + 0.209024i
\(301\) −8.91597 8.41179i −0.513908 0.484847i
\(302\) 3.41213 8.34863i 0.196346 0.480410i
\(303\) −1.21253 + 17.8322i −0.0696579 + 1.02443i
\(304\) −13.4742 + 21.3522i −0.772797 + 1.22463i
\(305\) 16.7304 + 19.9385i 0.957981 + 1.14168i
\(306\) −1.03337 + 5.85458i −0.0590740 + 0.334684i
\(307\) −0.833511 0.699399i −0.0475710 0.0399168i 0.618692 0.785633i \(-0.287663\pi\)
−0.666263 + 0.745717i \(0.732107\pi\)
\(308\) 9.57483 + 20.0382i 0.545577 + 1.14178i
\(309\) 13.0282 + 15.8363i 0.741148 + 0.900897i
\(310\) −6.11966 + 6.74192i −0.347573 + 0.382915i
\(311\) 0.517108 1.19879i 0.0293225 0.0679772i −0.902926 0.429797i \(-0.858585\pi\)
0.932248 + 0.361820i \(0.117844\pi\)
\(312\) 12.1784 0.585626i 0.689468 0.0331546i
\(313\) −2.47323 1.24210i −0.139795 0.0702077i 0.377527 0.925999i \(-0.376775\pi\)
−0.517322 + 0.855791i \(0.673071\pi\)
\(314\) 0.423347 0.766993i 0.0238908 0.0432839i
\(315\) −9.02362 + 6.44920i −0.508424 + 0.363371i
\(316\) 26.9015 + 14.1797i 1.51333 + 0.797670i
\(317\) −8.53705 9.04874i −0.479488 0.508228i 0.441797 0.897115i \(-0.354341\pi\)
−0.921285 + 0.388887i \(0.872860\pi\)
\(318\) −6.16250 + 27.1535i −0.345576 + 1.52269i
\(319\) −1.82993 + 2.78228i −0.102457 + 0.155778i
\(320\) 14.9115 + 1.75539i 0.833578 + 0.0981292i
\(321\) 9.63472 8.91459i 0.537758 0.497564i
\(322\) −1.02901 13.2626i −0.0573447 0.739096i
\(323\) 8.84486i 0.492141i
\(324\) 9.00543 15.5853i 0.500302 0.865851i
\(325\) 3.67740i 0.203986i
\(326\) 2.41611 0.187460i 0.133816 0.0103825i
\(327\) 10.6657 + 3.30634i 0.589817 + 0.182841i
\(328\) −15.0522 + 17.9234i −0.831116 + 0.989655i
\(329\) −12.2351 + 18.6026i −0.674543 + 1.02559i
\(330\) 17.6028 19.0181i 0.969000 1.04691i
\(331\) 15.2690 + 16.1842i 0.839258 + 0.889562i 0.995166 0.0982098i \(-0.0313116\pi\)
−0.155907 + 0.987772i \(0.549830\pi\)
\(332\) 13.4058 + 7.06615i 0.735739 + 0.387806i
\(333\) 19.6718 5.47525i 1.07801 0.300042i
\(334\) −22.0438 12.1672i −1.20618 0.665761i
\(335\) −4.76076 2.39094i −0.260108 0.130631i
\(336\) 3.79475 13.1097i 0.207020 0.715191i
\(337\) 12.7229 29.4949i 0.693059 1.60669i −0.0981694 0.995170i \(-0.531299\pi\)
0.791228 0.611521i \(-0.209442\pi\)
\(338\) 7.12689 + 6.46910i 0.387652 + 0.351873i
\(339\) 12.6942 2.11140i 0.689456 0.114675i
\(340\) 4.74587 2.26771i 0.257381 0.122984i
\(341\) −14.8132 12.4297i −0.802178 0.673107i
\(342\) 9.16357 25.1631i 0.495509 1.36066i
\(343\) −12.8136 15.2706i −0.691868 0.824536i
\(344\) −5.04078 16.8627i −0.271781 0.909177i
\(345\) −13.9382 + 6.83129i −0.750407 + 0.367784i
\(346\) −7.13181 2.91481i −0.383408 0.156701i
\(347\) −18.5762 17.5257i −0.997221 0.940829i 0.00102728 0.999999i \(-0.499673\pi\)
−0.998248 + 0.0591703i \(0.981154\pi\)
\(348\) 1.97691 0.529089i 0.105973 0.0283622i
\(349\) −30.4009 + 13.1137i −1.62732 + 0.701959i −0.997217 0.0745500i \(-0.976248\pi\)
−0.630106 + 0.776509i \(0.716989\pi\)
\(350\) −3.89449 1.33314i −0.208169 0.0712592i
\(351\) −12.4916 + 3.34639i −0.666754 + 0.178617i
\(352\) −2.49290 + 31.7897i −0.132872 + 1.69439i
\(353\) 0.321921 2.75421i 0.0171341 0.146592i −0.981963 0.189072i \(-0.939452\pi\)
0.999097 + 0.0424804i \(0.0135260\pi\)
\(354\) −5.88434 6.11901i −0.312749 0.325222i
\(355\) 4.77633 + 1.13201i 0.253501 + 0.0600809i
\(356\) 2.96039 15.0518i 0.156900 0.797745i
\(357\) −1.32667 4.59332i −0.0702147 0.243104i
\(358\) −3.84654 + 5.38004i −0.203296 + 0.284344i
\(359\) 1.44445 + 8.19188i 0.0762351 + 0.432351i 0.998906 + 0.0467625i \(0.0148904\pi\)
−0.922671 + 0.385588i \(0.873999\pi\)
\(360\) −15.8511 + 1.53461i −0.835428 + 0.0808812i
\(361\) 3.61913 20.5251i 0.190480 1.08027i
\(362\) −3.64915 3.72163i −0.191795 0.195605i
\(363\) 27.3387 + 23.3962i 1.43491 + 1.22798i
\(364\) −8.58641 + 4.73470i −0.450050 + 0.248165i
\(365\) 8.72988 + 11.7263i 0.456943 + 0.613781i
\(366\) 33.9684 0.324080i 1.77556 0.0169399i
\(367\) 30.6055 1.78257i 1.59759 0.0930493i 0.763922 0.645309i \(-0.223271\pi\)
0.833672 + 0.552259i \(0.186234\pi\)
\(368\) 8.24897 17.2269i 0.430007 0.898013i
\(369\) 11.5705 21.9640i 0.602334 1.14340i
\(370\) −14.0603 11.3440i −0.730962 0.589744i
\(371\) −5.16403 21.7887i −0.268103 1.13122i
\(372\) 1.71884 + 11.7585i 0.0891176 + 0.609649i
\(373\) 16.8780 + 0.983032i 0.873910 + 0.0508995i 0.489234 0.872152i \(-0.337276\pi\)
0.384676 + 0.923052i \(0.374313\pi\)
\(374\) 5.20465 + 9.88409i 0.269126 + 0.511094i
\(375\) 1.02008 + 21.0322i 0.0526768 + 1.08610i
\(376\) −28.5749 + 14.3361i −1.47364 + 0.739326i
\(377\) −1.27332 0.735149i −0.0655791 0.0378621i
\(378\) −0.984549 + 14.4422i −0.0506397 + 0.742826i
\(379\) 8.40685 + 14.5611i 0.431831 + 0.747953i 0.997031 0.0770007i \(-0.0245344\pi\)
−0.565200 + 0.824954i \(0.691201\pi\)
\(380\) −22.8268 + 6.34752i −1.17099 + 0.325621i
\(381\) 12.5486 5.26894i 0.642883 0.269936i
\(382\) 20.4542 + 0.796537i 1.04653 + 0.0407544i
\(383\) 0.393880 0.197814i 0.0201263 0.0101078i −0.438708 0.898630i \(-0.644564\pi\)
0.458834 + 0.888522i \(0.348267\pi\)
\(384\) 14.1358 13.5712i 0.721366 0.692554i
\(385\) −5.97708 + 19.9648i −0.304620 + 1.01750i
\(386\) 10.5157 + 1.64610i 0.535234 + 0.0837845i
\(387\) 9.01797 + 16.3449i 0.458409 + 0.830860i
\(388\) −14.1752 + 12.8562i −0.719636 + 0.652674i
\(389\) −6.60457 + 4.34389i −0.334865 + 0.220244i −0.705794 0.708417i \(-0.749410\pi\)
0.370929 + 0.928661i \(0.379039\pi\)
\(390\) 8.83446 + 7.27050i 0.447350 + 0.368156i
\(391\) −0.776786 6.64583i −0.0392837 0.336094i
\(392\) −1.52856 8.68990i −0.0772042 0.438906i
\(393\) 0.265461 27.3252i 0.0133907 1.37838i
\(394\) −1.95464 7.59269i −0.0984731 0.382514i
\(395\) 9.76012 + 26.8157i 0.491085 + 1.34925i
\(396\) −4.56666 33.5118i −0.229483 1.68403i
\(397\) −3.07183 + 8.43979i −0.154171 + 0.423581i −0.992600 0.121430i \(-0.961252\pi\)
0.838429 + 0.545011i \(0.183474\pi\)
\(398\) 13.4912 + 1.31414i 0.676254 + 0.0658717i
\(399\) 2.29231 + 21.4140i 0.114759 + 1.07204i
\(400\) −3.88374 4.45522i −0.194187 0.222761i
\(401\) −4.89472 + 1.46538i −0.244431 + 0.0731778i −0.406675 0.913573i \(-0.633312\pi\)
0.162244 + 0.986751i \(0.448127\pi\)
\(402\) −6.35780 + 2.81473i −0.317098 + 0.140386i
\(403\) 5.09834 6.84826i 0.253966 0.341136i
\(404\) 2.79864 20.4477i 0.139238 1.01731i
\(405\) 16.0851 5.15617i 0.799273 0.256212i
\(406\) −1.24015 + 1.08198i −0.0615477 + 0.0536976i
\(407\) 22.9117 30.7758i 1.13569 1.52550i
\(408\) 1.65070 6.66337i 0.0817217 0.329886i
\(409\) −3.65861 12.2206i −0.180907 0.604270i −0.999551 0.0299692i \(-0.990459\pi\)
0.818644 0.574301i \(-0.194726\pi\)
\(410\) −21.7621 + 2.96939i −1.07476 + 0.146648i
\(411\) −4.82858 + 3.52236i −0.238176 + 0.173745i
\(412\) −13.7639 19.2679i −0.678097 0.949263i
\(413\) 6.41540 + 2.33501i 0.315681 + 0.114899i
\(414\) −4.67540 + 19.7117i −0.229783 + 0.968779i
\(415\) 4.86375 + 13.3630i 0.238752 + 0.655966i
\(416\) −14.0759 0.282692i −0.690126 0.0138601i
\(417\) −18.1164 + 30.6861i −0.887163 + 1.50271i
\(418\) −15.3569 47.9176i −0.751130 2.34373i
\(419\) −4.24143 36.2878i −0.207207 1.77277i −0.551757 0.834005i \(-0.686043\pi\)
0.344550 0.938768i \(-0.388032\pi\)
\(420\) 10.9024 6.72027i 0.531982 0.327916i
\(421\) 13.8705 + 21.0890i 0.676005 + 1.02782i 0.996743 + 0.0806473i \(0.0256987\pi\)
−0.320738 + 0.947168i \(0.603931\pi\)
\(422\) 0.00102711 + 0.0533360i 4.99988e−5 + 0.00259636i
\(423\) 26.3941 21.2873i 1.28333 1.03503i
\(424\) 9.23387 30.7970i 0.448437 1.49563i
\(425\) −1.98352 0.593827i −0.0962148 0.0288048i
\(426\) 5.10202 3.87451i 0.247194 0.187721i
\(427\) −24.4130 + 12.2607i −1.18143 + 0.593336i
\(428\) −11.8002 + 9.51241i −0.570384 + 0.459800i
\(429\) −14.6991 + 19.3490i −0.709678 + 0.934178i
\(430\) 7.12679 14.8992i 0.343685 0.718501i
\(431\) −4.99768 8.65623i −0.240730 0.416956i 0.720193 0.693774i \(-0.244053\pi\)
−0.960922 + 0.276818i \(0.910720\pi\)
\(432\) −11.5996 + 17.2467i −0.558087 + 0.829783i
\(433\) −1.44910 + 2.50992i −0.0696393 + 0.120619i −0.898743 0.438477i \(-0.855518\pi\)
0.829103 + 0.559096i \(0.188852\pi\)
\(434\) −5.40428 7.88195i −0.259414 0.378346i
\(435\) 1.70771 + 0.878519i 0.0818783 + 0.0421218i
\(436\) −12.0272 4.64741i −0.576001 0.222571i
\(437\) −1.75248 + 30.0890i −0.0838327 + 1.43935i
\(438\) 19.0573 + 0.927625i 0.910591 + 0.0443236i
\(439\) 4.49809 + 18.9789i 0.214682 + 0.905815i 0.968556 + 0.248796i \(0.0800348\pi\)
−0.753874 + 0.657019i \(0.771817\pi\)
\(440\) −21.7738 + 20.5255i −1.03802 + 0.978515i
\(441\) 3.53908 + 8.66356i 0.168528 + 0.412550i
\(442\) −4.22298 + 2.54779i −0.200866 + 0.121186i
\(443\) −32.4867 + 1.89214i −1.54349 + 0.0898981i −0.808629 0.588318i \(-0.799790\pi\)
−0.734862 + 0.678217i \(0.762753\pi\)
\(444\) −23.0928 + 4.76121i −1.09594 + 0.225957i
\(445\) 11.5468 8.59627i 0.547371 0.407502i
\(446\) −17.9330 3.88711i −0.849150 0.184060i
\(447\) 7.05647 37.8645i 0.333759 1.79093i
\(448\) −5.40218 + 14.8043i −0.255229 + 0.699438i
\(449\) −3.44153 0.606834i −0.162416 0.0286383i 0.0918490 0.995773i \(-0.470722\pi\)
−0.254265 + 0.967135i \(0.581833\pi\)
\(450\) 5.02776 + 3.74439i 0.237011 + 0.176512i
\(451\) −8.09999 45.9373i −0.381414 2.16311i
\(452\) −14.7900 + 1.43448i −0.695663 + 0.0674723i
\(453\) 2.65167 10.7230i 0.124586 0.503809i
\(454\) 17.2553 + 22.2696i 0.809832 + 1.04516i
\(455\) −8.95330 2.12197i −0.419737 0.0994796i
\(456\) −12.5347 + 28.2681i −0.586991 + 1.32377i
\(457\) 5.38134 + 0.628988i 0.251728 + 0.0294228i 0.241021 0.970520i \(-0.422518\pi\)
0.0107072 + 0.999943i \(0.496592\pi\)
\(458\) 2.19644 + 11.1920i 0.102633 + 0.522970i
\(459\) −0.212171 + 7.27812i −0.00990330 + 0.339713i
\(460\) 16.5941 6.77411i 0.773705 0.315845i
\(461\) 0.853606 + 1.97888i 0.0397564 + 0.0921656i 0.936937 0.349498i \(-0.113648\pi\)
−0.897181 + 0.441663i \(0.854389\pi\)
\(462\) 15.1625 + 22.5812i 0.705423 + 1.05057i
\(463\) −19.7412 18.6249i −0.917452 0.865571i 0.0738377 0.997270i \(-0.476475\pi\)
−0.991290 + 0.131699i \(0.957957\pi\)
\(464\) −2.31903 + 0.454117i −0.107658 + 0.0210819i
\(465\) −6.21806 + 9.25696i −0.288355 + 0.429281i
\(466\) 8.37134 + 18.4233i 0.387795 + 0.853441i
\(467\) 3.73096 + 4.44639i 0.172648 + 0.205754i 0.845429 0.534087i \(-0.179345\pi\)
−0.672781 + 0.739842i \(0.734900\pi\)
\(468\) 14.6537 2.87315i 0.677367 0.132811i
\(469\) 3.59424 4.28345i 0.165967 0.197791i
\(470\) −28.9003 8.04922i −1.33307 0.371283i
\(471\) 0.376753 1.00464i 0.0173598 0.0462915i
\(472\) 6.29787 + 7.51180i 0.289883 + 0.345759i
\(473\) 32.2074 + 13.8929i 1.48090 + 0.638796i
\(474\) 35.1181 + 12.4038i 1.61303 + 0.569726i
\(475\) 8.33455 + 4.18577i 0.382415 + 0.192056i
\(476\) 1.16727 + 5.39590i 0.0535017 + 0.247320i
\(477\) −2.64388 + 33.9992i −0.121055 + 1.55672i
\(478\) −10.9738 28.4346i −0.501932 1.30057i
\(479\) 26.9381 + 28.5527i 1.23083 + 1.30461i 0.937244 + 0.348674i \(0.113368\pi\)
0.293588 + 0.955932i \(0.405151\pi\)
\(480\) 18.3815 0.521849i 0.838996 0.0238190i
\(481\) 14.1531 + 9.30867i 0.645328 + 0.424439i
\(482\) −7.31071 + 11.5957i −0.332994 + 0.528170i
\(483\) −3.60304 15.8887i −0.163944 0.722961i
\(484\) −29.6556 29.1020i −1.34798 1.32282i
\(485\) −17.9581 −0.815434
\(486\) 8.14399 20.4860i 0.369419 0.929263i
\(487\) 15.0924i 0.683903i 0.939718 + 0.341952i \(0.111088\pi\)
−0.939718 + 0.341952i \(0.888912\pi\)
\(488\) −39.1578 2.29691i −1.77259 0.103976i
\(489\) 2.89452 0.656383i 0.130895 0.0296827i
\(490\) 4.41581 7.00402i 0.199486 0.316410i
\(491\) 4.34043 6.59931i 0.195881 0.297823i −0.724170 0.689622i \(-0.757777\pi\)
0.920051 + 0.391799i \(0.128147\pi\)
\(492\) −15.0560 + 24.3935i −0.678777 + 1.09974i
\(493\) −0.602140 + 0.568090i −0.0271190 + 0.0255855i
\(494\) 20.7263 7.99896i 0.932521 0.359890i
\(495\) 17.9523 26.1731i 0.806898 1.17639i
\(496\) −1.05580 13.6811i −0.0474070 0.614302i
\(497\) −2.31226 + 4.60409i −0.103719 + 0.206521i
\(498\) 17.5004 + 6.18118i 0.784210 + 0.276985i
\(499\) −6.11584 + 14.1781i −0.273783 + 0.634699i −0.998523 0.0543223i \(-0.982700\pi\)
0.724741 + 0.689021i \(0.241959\pi\)
\(500\) 0.478181 24.3097i 0.0213849 1.08716i
\(501\) −28.8740 10.8281i −1.29000 0.483763i
\(502\) −6.99780 + 25.1252i −0.312327 + 1.12139i
\(503\) 9.09338 + 7.63025i 0.405454 + 0.340216i 0.822597 0.568625i \(-0.192524\pi\)
−0.417143 + 0.908841i \(0.636969\pi\)
\(504\) 2.26952 16.5603i 0.101093 0.737655i
\(505\) 14.8361 12.4489i 0.660196 0.553971i
\(506\) 15.7471 + 34.6555i 0.700045 + 1.54063i
\(507\) 9.78555 + 6.57312i 0.434591 + 0.291923i
\(508\) −14.8704 + 5.08349i −0.659769 + 0.225543i
\(509\) −24.4607 + 25.9268i −1.08420 + 1.14919i −0.0961022 + 0.995371i \(0.530638\pi\)
−0.988100 + 0.153815i \(0.950844\pi\)
\(510\) 5.34815 3.59109i 0.236820 0.159016i
\(511\) −14.0892 + 6.07749i −0.623270 + 0.268852i
\(512\) −17.3516 + 14.5231i −0.766840 + 0.641838i
\(513\) 6.63415 32.1203i 0.292905 1.41815i
\(514\) 3.03957 + 15.4882i 0.134070 + 0.683155i
\(515\) 2.57964 22.0703i 0.113673 0.972532i
\(516\) −9.10403 19.5386i −0.400782 0.860140i
\(517\) 14.6934 61.9962i 0.646213 2.72659i
\(518\) 14.9890 11.6141i 0.658579 0.510292i
\(519\) −9.16008 2.26518i −0.402083 0.0994305i
\(520\) −9.60596 9.07025i −0.421249 0.397757i
\(521\) −36.3432 + 6.40828i −1.59222 + 0.280752i −0.898329 0.439324i \(-0.855218\pi\)
−0.693895 + 0.720076i \(0.744107\pi\)
\(522\) 2.30161 0.992343i 0.100739 0.0434337i
\(523\) 1.29028 7.31756i 0.0564201 0.319974i −0.943515 0.331329i \(-0.892503\pi\)
0.999936 + 0.0113542i \(0.00361425\pi\)
\(524\) −2.45385 + 31.4584i −0.107197 + 1.37427i
\(525\) −4.95615 0.923633i −0.216304 0.0403106i
\(526\) −4.92629 + 22.7272i −0.214797 + 0.990952i
\(527\) −2.87054 3.85580i −0.125043 0.167961i
\(528\) 2.62653 + 38.9653i 0.114305 + 1.69575i
\(529\) 0.0115901 + 0.198995i 0.000503920 + 0.00865196i
\(530\) 25.8336 15.5858i 1.12214 0.677005i
\(531\) −8.21763 6.36963i −0.356615 0.276418i
\(532\) −0.957428 24.8496i −0.0415098 1.07737i
\(533\) 20.0398 4.74951i 0.868019 0.205724i
\(534\) 0.913428 18.7656i 0.0395279 0.812067i
\(535\) −14.1992 0.827009i −0.613885 0.0357547i
\(536\) 7.54558 2.74284i 0.325920 0.118473i
\(537\) −3.70545 + 7.20282i −0.159902 + 0.310825i
\(538\) 4.67686 + 6.82105i 0.201634 + 0.294076i
\(539\) 15.2286 + 8.79223i 0.655942 + 0.378708i
\(540\) −18.9357 + 4.67557i −0.814861 + 0.201205i
\(541\) −26.5732 + 15.3421i −1.14247 + 0.659607i −0.947042 0.321111i \(-0.895944\pi\)
−0.195430 + 0.980718i \(0.562610\pi\)
\(542\) 2.35794 + 1.12788i 0.101282 + 0.0484468i
\(543\) −5.08315 3.86158i −0.218139 0.165716i
\(544\) −2.42545 + 7.54659i −0.103990 + 0.323557i
\(545\) −5.43034 10.8127i −0.232610 0.463165i
\(546\) −9.56383 + 7.26284i −0.409294 + 0.310821i
\(547\) 10.7111 35.7775i 0.457973 1.52974i −0.347832 0.937557i \(-0.613082\pi\)
0.805805 0.592181i \(-0.201733\pi\)
\(548\) 5.83952 3.67826i 0.249452 0.157128i
\(549\) 41.1051 6.42718i 1.75432 0.274305i
\(550\) 11.7769 0.226791i 0.502168 0.00967039i
\(551\) 3.11550 2.04909i 0.132725 0.0872944i
\(552\) 6.93570 22.3408i 0.295203 0.950888i
\(553\) −29.7495 + 3.47722i −1.26508 + 0.147867i
\(554\) 10.4083 + 32.4765i 0.442204 + 1.37980i
\(555\) −19.0534 11.2487i −0.808774 0.477481i
\(556\) 23.2827 33.9270i 0.987406 1.43882i
\(557\) 2.49872 0.909459i 0.105874 0.0385350i −0.288540 0.957468i \(-0.593170\pi\)
0.394414 + 0.918933i \(0.370948\pi\)
\(558\) 4.17176 + 13.9435i 0.176605 + 0.590275i
\(559\) −5.29672 + 14.5526i −0.224027 + 0.615510i
\(560\) −13.0881 + 6.88486i −0.553071 + 0.290939i
\(561\) 8.06286 + 11.0529i 0.340414 + 0.466652i
\(562\) 4.79814 0.654694i 0.202397 0.0276166i
\(563\) 2.06196 0.617310i 0.0869012 0.0260165i −0.243057 0.970012i \(-0.578150\pi\)
0.329959 + 0.943995i \(0.392965\pi\)
\(564\) −32.0800 + 22.4486i −1.35081 + 0.945258i
\(565\) −11.1849 8.32686i −0.470553 0.350314i
\(566\) −11.0656 12.6833i −0.465124 0.533121i
\(567\) 1.37257 + 17.6758i 0.0576427 + 0.742316i
\(568\) −6.18222 + 4.06245i −0.259400 + 0.170457i
\(569\) −13.9538 10.3882i −0.584972 0.435495i 0.263558 0.964644i \(-0.415104\pi\)
−0.848529 + 0.529148i \(0.822512\pi\)
\(570\) −26.5338 + 11.7470i −1.11138 + 0.492029i
\(571\) 8.38508 + 28.0081i 0.350905 + 1.17210i 0.933270 + 0.359176i \(0.116942\pi\)
−0.582365 + 0.812927i \(0.697873\pi\)
\(572\) 18.4547 21.1350i 0.771628 0.883697i
\(573\) 24.9278 2.66844i 1.04137 0.111476i
\(574\) 2.23495 22.9446i 0.0932852 0.957688i
\(575\) −6.63000 2.41312i −0.276490 0.100634i
\(576\) 14.7188 18.9567i 0.613282 0.789864i
\(577\) −36.7744 + 13.3848i −1.53094 + 0.557216i −0.963851 0.266442i \(-0.914152\pi\)
−0.567087 + 0.823658i \(0.691930\pi\)
\(578\) −5.30147 20.5933i −0.220512 0.856568i
\(579\) 13.0352 + 0.126636i 0.541726 + 0.00526279i
\(580\) −1.89825 1.14632i −0.0788207 0.0475982i
\(581\) −14.8251 + 1.73280i −0.615047 + 0.0718887i
\(582\) −14.8935 + 18.0972i −0.617355 + 0.750155i
\(583\) 35.2106 + 53.5351i 1.45827 + 2.21720i
\(584\) −21.8815 2.56673i −0.905461 0.106212i
\(585\) 11.9971 + 7.24090i 0.496020 + 0.299375i
\(586\) 8.14676 + 1.27528i 0.336540 + 0.0526813i
\(587\) 7.32447 + 2.19280i 0.302313 + 0.0905066i 0.434367 0.900736i \(-0.356972\pi\)
−0.132054 + 0.991243i \(0.542157\pi\)
\(588\) −3.39606 10.2588i −0.140051 0.423066i
\(589\) 9.71791 + 19.3500i 0.400420 + 0.797301i
\(590\) −0.357951 + 9.19180i −0.0147366 + 0.378421i
\(591\) −3.71745 8.85352i −0.152915 0.364185i
\(592\) 26.9777 3.66969i 1.10878 0.150823i
\(593\) −34.6584 + 20.0100i −1.42325 + 0.821713i −0.996575 0.0826934i \(-0.973648\pi\)
−0.426673 + 0.904406i \(0.640314\pi\)
\(594\) −11.4872 39.7981i −0.471325 1.63294i
\(595\) −2.59033 + 4.48658i −0.106193 + 0.183932i
\(596\) −11.1057 + 43.0660i −0.454908 + 1.76405i
\(597\) 16.5820 0.804246i 0.678657 0.0329156i
\(598\) −14.8708 + 7.83049i −0.608112 + 0.320213i
\(599\) −1.62513 + 27.9024i −0.0664011 + 1.14006i 0.786362 + 0.617766i \(0.211962\pi\)
−0.852763 + 0.522297i \(0.825075\pi\)
\(600\) −5.49775 4.70885i −0.224445 0.192238i
\(601\) −37.0072 + 8.77087i −1.50956 + 0.357771i −0.900324 0.435221i \(-0.856670\pi\)
−0.609232 + 0.792992i \(0.708522\pi\)
\(602\) 13.4915 + 10.8850i 0.549874 + 0.443641i
\(603\) −7.20430 + 4.54032i −0.293382 + 0.184896i
\(604\) −3.89771 + 12.1446i −0.158596 + 0.494159i
\(605\) −2.26710 38.9245i −0.0921705 1.58251i
\(606\) −0.241145 25.2756i −0.00979584 1.02675i
\(607\) −22.7900 + 16.9665i −0.925016 + 0.688649i −0.950400 0.311029i \(-0.899326\pi\)
0.0253844 + 0.999678i \(0.491919\pi\)
\(608\) 16.6624 31.5801i 0.675750 1.28074i
\(609\) −1.31059 + 1.53144i −0.0531079 + 0.0620572i
\(610\) −25.7707 26.2826i −1.04342 1.06415i
\(611\) 27.7031 + 4.88481i 1.12075 + 0.197618i
\(612\) 0.816558 8.36787i 0.0330074 0.338251i
\(613\) −42.7374 + 7.53576i −1.72615 + 0.304366i −0.946704 0.322105i \(-0.895610\pi\)
−0.779444 + 0.626472i \(0.784498\pi\)
\(614\) 1.25174 + 0.894952i 0.0505162 + 0.0361173i
\(615\) −25.8437 + 7.46432i −1.04212 + 0.300990i
\(616\) −15.6924 27.2060i −0.632265 1.09616i
\(617\) 7.58460 32.0019i 0.305344 1.28835i −0.576612 0.817018i \(-0.695626\pi\)
0.881956 0.471331i \(-0.156226\pi\)
\(618\) −20.1019 20.9036i −0.808617 0.840866i
\(619\) 23.6351 + 2.76255i 0.949975 + 0.111036i 0.576945 0.816783i \(-0.304245\pi\)
0.373030 + 0.927819i \(0.378319\pi\)
\(620\) 7.89103 10.1754i 0.316911 0.408654i
\(621\) −2.16383 + 24.7171i −0.0868316 + 0.991864i
\(622\) −0.597966 + 1.74684i −0.0239763 + 0.0700418i
\(623\) 5.98448 + 13.8736i 0.239763 + 0.555833i
\(624\) −17.1072 + 2.15800i −0.684837 + 0.0863891i
\(625\) 10.5879 11.2225i 0.423515 0.448899i
\(626\) 3.62307 + 1.48077i 0.144807 + 0.0591835i
\(627\) −27.1219 55.3381i −1.08314 2.20999i
\(628\) −0.513002 + 1.12775i −0.0204710 + 0.0450023i
\(629\) 7.30636 6.13077i 0.291324 0.244450i
\(630\) 12.0176 10.0804i 0.478792 0.401612i
\(631\) 18.5664 22.1266i 0.739118 0.880847i −0.257219 0.966353i \(-0.582806\pi\)
0.996338 + 0.0855060i \(0.0272507\pi\)
\(632\) −39.4817 17.0501i −1.57050 0.678216i
\(633\) 0.0107197 + 0.0644497i 0.000426071 + 0.00256165i
\(634\) 13.0269 + 11.8246i 0.517366 + 0.469614i
\(635\) −13.5412 5.84112i −0.537368 0.231798i
\(636\) 5.71848 38.9599i 0.226752 1.54486i
\(637\) −3.48439 + 6.93798i −0.138056 + 0.274893i
\(638\) 2.27579 4.12313i 0.0900993 0.163236i
\(639\) 5.49429 5.60148i 0.217351 0.221591i
\(640\) −21.2169 0.843787i −0.838671 0.0333536i
\(641\) 3.70271 3.49333i 0.146248 0.137978i −0.609641 0.792678i \(-0.708686\pi\)
0.755889 + 0.654700i \(0.227205\pi\)
\(642\) −12.6095 + 13.6234i −0.497657 + 0.537671i
\(643\) 8.09479 + 5.32402i 0.319227 + 0.209959i 0.699002 0.715120i \(-0.253628\pi\)
−0.379774 + 0.925079i \(0.623998\pi\)
\(644\) 2.90177 + 18.5874i 0.114346 + 0.732445i
\(645\) 5.98937 19.3208i 0.235831 0.760754i
\(646\) −0.967599 12.4710i −0.0380697 0.490666i
\(647\) −42.3997 −1.66690 −0.833452 0.552591i \(-0.813639\pi\)
−0.833452 + 0.552591i \(0.813639\pi\)
\(648\) −10.9925 + 22.9601i −0.431825 + 0.901958i
\(649\) −19.5361 −0.766857
\(650\) 0.402296 + 5.18505i 0.0157793 + 0.203374i
\(651\) −7.94908 8.59122i −0.311549 0.336717i
\(652\) −3.38615 + 0.528629i −0.132612 + 0.0207027i
\(653\) −14.7900 9.72755i −0.578778 0.380669i 0.226104 0.974103i \(-0.427401\pi\)
−0.804882 + 0.593435i \(0.797772\pi\)
\(654\) −15.4001 3.49507i −0.602193 0.136668i
\(655\) −21.5378 + 20.3199i −0.841551 + 0.793963i
\(656\) 19.2624 26.9182i 0.752071 1.05098i
\(657\) 23.2582 2.26142i 0.907390 0.0882263i
\(658\) 15.2161 27.5677i 0.593187 1.07470i
\(659\) 7.63454 15.2016i 0.297399 0.592171i −0.694457 0.719534i \(-0.744355\pi\)
0.991856 + 0.127364i \(0.0406516\pi\)
\(660\) −22.7390 + 28.7407i −0.885112 + 1.11873i
\(661\) −36.4103 15.7059i −1.41620 0.610888i −0.455941 0.890010i \(-0.650697\pi\)
−0.960256 + 0.279122i \(0.909957\pi\)
\(662\) −23.2994 21.1489i −0.905556 0.821975i
\(663\) −4.66476 + 3.83760i −0.181164 + 0.149040i
\(664\) −19.6749 8.49655i −0.763534 0.329730i
\(665\) 15.0003 17.8766i 0.581686 0.693227i
\(666\) −27.1378 + 9.87201i −1.05157 + 0.382533i
\(667\) −2.16096 + 1.81326i −0.0836725 + 0.0702096i
\(668\) 32.4123 + 14.7440i 1.25407 + 0.570462i
\(669\) −22.4216 1.52459i −0.866868 0.0589442i
\(670\) 6.97411 + 2.85036i 0.269433 + 0.110119i
\(671\) 53.6461 56.8616i 2.07099 2.19512i
\(672\) −3.91635 + 18.8994i −0.151076 + 0.729062i
\(673\) −1.30309 3.02090i −0.0502304 0.116447i 0.891253 0.453506i \(-0.149827\pi\)
−0.941483 + 0.337059i \(0.890568\pi\)
\(674\) −14.7123 + 42.9790i −0.566696 + 1.65549i
\(675\) 6.75780 + 3.64425i 0.260108 + 0.140267i
\(676\) −10.7564 8.34162i −0.413710 0.320831i
\(677\) −14.4689 1.69118i −0.556087 0.0649972i −0.166592 0.986026i \(-0.553276\pi\)
−0.389495 + 0.921029i \(0.627350\pi\)
\(678\) −17.6676 + 4.36573i −0.678519 + 0.167665i
\(679\) 4.34682 18.3407i 0.166816 0.703851i
\(680\) −6.44348 + 3.71660i −0.247096 + 0.142525i
\(681\) 24.8660 + 23.9207i 0.952868 + 0.916643i
\(682\) 22.2460 + 15.9051i 0.851843 + 0.609038i
\(683\) −2.29115 + 0.403991i −0.0876683 + 0.0154583i −0.217310 0.976103i \(-0.569728\pi\)
0.129642 + 0.991561i \(0.458617\pi\)
\(684\) −10.1677 + 36.4818i −0.388770 + 1.39492i
\(685\) 6.37793 + 1.12460i 0.243688 + 0.0429688i
\(686\) 19.7374 + 20.1294i 0.753577 + 0.768546i
\(687\) 4.64989 + 13.1722i 0.177404 + 0.502552i
\(688\) 8.95210 + 23.2246i 0.341296 + 0.885429i
\(689\) −22.6926 + 16.8940i −0.864520 + 0.643611i
\(690\) 18.9052 11.1567i 0.719709 0.424730i
\(691\) −2.27782 39.1087i −0.0866524 1.48776i −0.709103 0.705105i \(-0.750900\pi\)
0.622451 0.782659i \(-0.286137\pi\)
\(692\) 10.3745 + 3.32961i 0.394381 + 0.126573i
\(693\) 22.3853 + 24.6701i 0.850348 + 0.937141i
\(694\) 28.1092 + 22.6787i 1.06701 + 0.860870i
\(695\) 37.5722 8.90478i 1.42520 0.337778i
\(696\) −2.72951 + 0.962271i −0.103462 + 0.0364748i
\(697\) 0.674226 11.5760i 0.0255381 0.438472i
\(698\) 41.4300 21.8157i 1.56815 0.825737i
\(699\) 13.4172 + 20.8380i 0.507485 + 0.788166i
\(700\) 5.63698 + 1.45365i 0.213058 + 0.0549427i
\(701\) 20.6381 35.7462i 0.779489 1.35012i −0.152747 0.988265i \(-0.548812\pi\)
0.932236 0.361850i \(-0.117855\pi\)
\(702\) 17.2468 6.08487i 0.650940 0.229659i
\(703\) −37.2071 + 21.4815i −1.40329 + 0.810190i
\(704\) 0.0372438 45.0954i 0.00140368 1.69960i
\(705\) −36.4511 4.61988i −1.37283 0.173995i
\(706\) −0.152599 + 3.91859i −0.00574315 + 0.147478i
\(707\) 9.12305 + 18.1655i 0.343108 + 0.683183i
\(708\) 8.96617 + 7.98394i 0.336969 + 0.300055i
\(709\) 26.0165 + 7.78882i 0.977069 + 0.292515i 0.735242 0.677804i \(-0.237068\pi\)
0.241826 + 0.970320i \(0.422254\pi\)
\(710\) −6.85835 1.07359i −0.257389 0.0402912i
\(711\) 44.7594 + 8.79215i 1.67861 + 0.329731i
\(712\) −2.52745 + 21.5466i −0.0947203 + 0.807492i
\(713\) −9.00120 13.6857i −0.337098 0.512532i
\(714\) 2.37307 + 6.33134i 0.0888097 + 0.236944i
\(715\) 26.1519 3.05672i 0.978025 0.114315i
\(716\) 4.83497 8.00652i 0.180691 0.299218i
\(717\) −18.3494 32.5073i −0.685271 1.21401i
\(718\) −2.93280 11.3923i −0.109451 0.425158i
\(719\) −28.1701 + 10.2531i −1.05057 + 0.382375i −0.808877 0.587978i \(-0.799924\pi\)
−0.241690 + 0.970353i \(0.577702\pi\)
\(720\) 22.1818 3.89783i 0.826668 0.145264i
\(721\) 21.9161 + 7.97681i 0.816198 + 0.297072i
\(722\) −2.85751 + 29.3358i −0.106345 + 1.09177i
\(723\) −6.79910 + 15.3503i −0.252861 + 0.570885i
\(724\) 5.55234 + 4.84821i 0.206351 + 0.180182i
\(725\) 0.250355 + 0.836244i 0.00929795 + 0.0310573i
\(726\) −41.1064 29.9973i −1.52560 1.11331i
\(727\) 9.33463 + 6.94937i 0.346202 + 0.257738i 0.756189 0.654354i \(-0.227059\pi\)
−0.409986 + 0.912092i \(0.634467\pi\)
\(728\) 11.5887 7.61513i 0.429505 0.282236i
\(729\) 6.22951 26.2715i 0.230723 0.973020i
\(730\) −13.5917 15.5787i −0.503053 0.576595i
\(731\) 6.99408 + 5.20690i 0.258686 + 0.192584i
\(732\) −47.8592 + 4.17298i −1.76893 + 0.154238i
\(733\) 32.9654 9.86918i 1.21760 0.364527i 0.387360 0.921928i \(-0.373387\pi\)
0.830243 + 0.557402i \(0.188202\pi\)
\(734\) −42.9580 + 5.86152i −1.58561 + 0.216353i
\(735\) 4.10679 9.27189i 0.151481 0.341999i
\(736\) −9.74628 + 25.1919i −0.359253 + 0.928585i
\(737\) −5.47256 + 15.0357i −0.201584 + 0.553849i
\(738\) −13.9113 + 32.2345i −0.512081 + 1.18657i
\(739\) 41.3232 15.0404i 1.52010 0.553270i 0.558925 0.829218i \(-0.311214\pi\)
0.961172 + 0.275948i \(0.0889919\pi\)
\(740\) 21.0657 + 14.4565i 0.774391 + 0.531433i
\(741\) 23.6950 13.3751i 0.870457 0.491346i
\(742\) 9.66477 + 30.1567i 0.354805 + 1.10709i
\(743\) −29.6571 + 3.46642i −1.08801 + 0.127171i −0.641138 0.767426i \(-0.721537\pi\)
−0.446875 + 0.894596i \(0.647463\pi\)
\(744\) −3.70986 16.3911i −0.136010 0.600929i
\(745\) −34.8695 + 22.9340i −1.27752 + 0.840237i
\(746\) −23.9051 + 0.460348i −0.875229 + 0.0168545i
\(747\) 22.3049 + 4.38138i 0.816093 + 0.160306i
\(748\) −8.41972 13.3670i −0.307855 0.488744i
\(749\) 4.28160 14.3015i 0.156446 0.522567i
\(750\) −3.73914 29.5432i −0.136534 1.07877i
\(751\) 10.1454 + 20.2012i 0.370211 + 0.737151i 0.999189 0.0402726i \(-0.0128226\pi\)
−0.628978 + 0.777423i \(0.716526\pi\)
\(752\) 38.7215 23.3395i 1.41203 0.851104i
\(753\) −4.01641 + 31.6897i −0.146366 + 1.15484i
\(754\) 1.87577 + 0.897246i 0.0683114 + 0.0326758i
\(755\) −10.3656 + 5.98457i −0.377242 + 0.217801i
\(756\) −0.191738 20.4709i −0.00697345 0.744518i
\(757\) −4.72146 2.72594i −0.171605 0.0990759i 0.411738 0.911302i \(-0.364922\pi\)
−0.583342 + 0.812226i \(0.698255\pi\)
\(758\) −13.4464 19.6111i −0.488395 0.712308i
\(759\) 25.2388 + 39.1978i 0.916109 + 1.42279i
\(760\) 31.4909 11.4470i 1.14230 0.415227i
\(761\) 53.6567 + 3.12515i 1.94505 + 0.113286i 0.985656 0.168769i \(-0.0539793\pi\)
0.959398 + 0.282056i \(0.0910163\pi\)
\(762\) −17.1168 + 8.80186i −0.620076 + 0.318858i
\(763\) 12.3575 2.92878i 0.447372 0.106029i
\(764\) −28.9271 + 1.11453i −1.04655 + 0.0403222i
\(765\) 5.84290 5.30176i 0.211250 0.191685i
\(766\) −0.533721 + 0.322002i −0.0192841 + 0.0116344i
\(767\) −0.501526 8.61087i −0.0181090 0.310920i
\(768\) −18.4465 + 20.6815i −0.665632 + 0.746280i
\(769\) 26.6256 + 35.7644i 0.960144 + 1.28970i 0.957117 + 0.289702i \(0.0935562\pi\)
0.00302733 + 0.999995i \(0.499036\pi\)
\(770\) 6.24345 28.8038i 0.224998 1.03802i
\(771\) 6.43479 + 18.2285i 0.231743 + 0.656483i
\(772\) −15.0069 1.17059i −0.540111 0.0421303i
\(773\) −0.0534957