Properties

Label 648.2.bb.b.155.4
Level $648$
Weight $2$
Character 648.155
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 155.4
Character \(\chi\) \(=\) 648.155
Dual form 648.2.bb.b.347.4

$q$-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 \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).

\(n\) \(325\) \(487\) \(569\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{43}{54}\right)\)

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 −0.148150 0.988965i \(-0.547332\pi\)
0.849404 + 0.527743i \(0.176962\pi\)
\(6\) 2.33978 + 0.724876i 0.955210 + 0.295930i
\(7\) −1.43285 1.35182i −0.541566 0.510941i 0.366133 0.930562i \(-0.380681\pi\)
−0.907699 + 0.419621i \(0.862163\pi\)
\(8\) −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 0.852430 + 0.522841i \(0.175128\pi\)
−0.0896527 + 0.995973i \(0.528576\pi\)
\(12\) −3.21973 1.27802i −0.929456 0.368933i
\(13\) 2.28524 0.985757i 0.633812 0.273400i −0.0548362 0.998495i \(-0.517464\pi\)
0.688648 + 0.725095i \(0.258204\pi\)
\(14\) 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 0.864132 0.503266i \(-0.167868\pi\)
−0.645675 + 0.763612i \(0.723424\pi\)
\(18\) −3.67460 2.12068i −0.866112 0.499849i
\(19\) −4.83530 4.05730i −1.10929 0.930807i −0.111278 0.993789i \(-0.535495\pi\)
−0.998015 + 0.0629819i \(0.979939\pi\)
\(20\) 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 0.972464 0.233053i \(-0.0748716\pi\)
−0.289203 + 0.957268i \(0.593390\pi\)
\(24\) 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 −0.170399 0.985375i \(-0.554506\pi\)
0.0614374 + 0.998111i \(0.480432\pi\)
\(30\) 4.41647 1.27642i 0.806333 0.233042i
\(31\) 0.791118 + 3.33799i 0.142089 + 0.599520i 0.996766 + 0.0803601i \(0.0256070\pi\)
−0.854677 + 0.519160i \(0.826245\pi\)
\(32\) −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 0.407067 0.913398i \(-0.366551\pi\)
0.694919 + 0.719088i \(0.255440\pi\)
\(38\) 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 0.974057 0.226302i \(-0.0726637\pi\)
0.0625676 + 0.998041i \(0.480071\pi\)
\(42\) −2.37264 4.20160i −0.366107 0.648322i
\(43\) 0.361809 6.21202i 0.0551753 0.947324i −0.851198 0.524845i \(-0.824123\pi\)
0.906373 0.422479i \(-0.138840\pi\)
\(44\) 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 0.932676 0.360715i \(-0.117467\pi\)
0.671581 + 0.740931i \(0.265616\pi\)
\(48\) −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 −0.931530 0.363664i \(-0.881526\pi\)
0.150823 0.988561i \(-0.451808\pi\)
\(54\) 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 −0.971844 0.235626i \(-0.924286\pi\)
0.769346 + 0.638833i \(0.220582\pi\)
\(60\) −6.36675 + 1.31658i −0.821944 + 0.169969i
\(61\) 13.2856 3.97744i 1.70104 0.509259i 0.718536 0.695490i \(-0.244812\pi\)
0.982506 + 0.186231i \(0.0596273\pi\)
\(62\) −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 −0.0578853 0.998323i \(-0.518436\pi\)
−0.286554 + 0.958064i \(0.592510\pi\)
\(68\) 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 0.483713 0.875227i \(-0.339288\pi\)
−0.192039 + 0.981387i \(0.561510\pi\)
\(72\) −6.60704 5.32419i −0.778647 0.627462i
\(73\) 7.31955 2.66410i 0.856689 0.311809i 0.123924 0.992292i \(-0.460452\pi\)
0.732764 + 0.680483i \(0.238230\pi\)
\(74\) −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 0.376724 0.926325i \(-0.377050\pi\)
0.995456 0.0952250i \(-0.0303571\pi\)
\(80\) 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 −0.209519 0.977805i \(-0.567190\pi\)
0.876636 + 0.481155i \(0.159782\pi\)
\(84\) 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 0.997581 + 0.0695134i \(0.0221447\pi\)
−0.719509 + 0.694483i \(0.755633\pi\)
\(90\) −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 0.0744726 0.997223i \(-0.476273\pi\)
−0.886169 + 0.463362i \(0.846643\pi\)
\(98\) −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 0.969343 + 0.245710i \(0.0790210\pi\)
−0.674855 + 0.737950i \(0.735794\pi\)
\(102\) 1.32937 + 3.16451i 0.131628 + 0.313333i
\(103\) −5.31357 + 10.5802i −0.523561 + 1.04250i 0.464084 + 0.885791i \(0.346384\pi\)
−0.987645 + 0.156705i \(0.949913\pi\)
\(104\) −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 0.148005 0.988987i \(-0.452715\pi\)
−0.782485 + 0.622669i \(0.786048\pi\)
\(108\) −7.06052 7.62555i −0.679399 0.733769i
\(109\) −5.58323 + 3.22348i −0.534776 + 0.308753i −0.742959 0.669337i \(-0.766578\pi\)
0.208183 + 0.978090i \(0.433245\pi\)
\(110\) −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 −0.403351 0.915045i \(-0.632155\pi\)
−0.294394 + 0.955684i \(0.595118\pi\)
\(114\) −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 −0.180577 0.983561i \(-0.557797\pi\)
−0.506085 + 0.862484i \(0.668908\pi\)
\(128\) −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 −0.863967 0.503549i \(-0.832027\pi\)
0.546076 0.837735i \(-0.316121\pi\)
\(132\) −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 0.527104 0.849800i \(-0.323278\pi\)
−0.256401 + 0.966570i \(0.582537\pi\)
\(138\) 5.14935 + 10.5018i 0.438341 + 0.893974i
\(139\) 14.1186 + 14.9648i 1.19752 + 1.26930i 0.954137 + 0.299371i \(0.0967768\pi\)
0.243386 + 0.969929i \(0.421742\pi\)
\(140\) −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 −0.739700 0.672937i \(-0.765032\pi\)
0.0181359 0.999836i \(-0.494227\pi\)
\(150\) −2.35281 + 2.75026i −0.192106 + 0.224557i
\(151\) −2.86217 5.69905i −0.232920 0.463782i 0.746561 0.665317i \(-0.231703\pi\)
−0.979481 + 0.201535i \(0.935407\pi\)
\(152\) 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 0.821649 0.569994i \(-0.193055\pi\)
−0.848816 + 0.528688i \(0.822684\pi\)
\(158\) −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 0.177200 0.984175i \(-0.443296\pi\)
0.973871 + 0.227104i \(0.0729257\pi\)
\(168\) −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 −0.254000 0.967204i \(-0.581746\pi\)
0.624138 + 0.781314i \(0.285450\pi\)
\(174\) −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 0.866595 0.499012i \(-0.166303\pi\)
−0.641913 + 0.766777i \(0.721859\pi\)
\(180\) 11.2588 + 0.214852i 0.839181 + 0.0160141i
\(181\) 2.36904 2.82331i 0.176089 0.209855i −0.670780 0.741657i \(-0.734040\pi\)
0.846869 + 0.531802i \(0.178485\pi\)
\(182\) 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 −0.619023 0.785373i \(-0.712471\pi\)
−0.421218 + 0.906959i \(0.638397\pi\)
\(192\) −10.7079 8.79435i −0.772777 0.634678i
\(193\) −7.32338 + 1.73567i −0.527149 + 0.124937i −0.485568 0.874199i \(-0.661387\pi\)
−0.0415802 + 0.999135i \(0.513239\pi\)
\(194\) 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 −0.931117 0.364721i \(-0.881164\pi\)
0.999706 0.0242646i \(-0.00772443\pi\)
\(198\) 1.38640 23.8752i 0.0985271 1.69674i
\(199\) −9.43927 + 1.66440i −0.669132 + 0.117986i −0.497886 0.867242i \(-0.665890\pi\)
−0.171246 + 0.985228i \(0.554779\pi\)
\(200\) 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 0.998383 0.0568486i \(-0.0181052\pi\)
−0.998232 + 0.0594410i \(0.981068\pi\)
\(212\) −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 0.157859 0.987462i \(-0.449541\pi\)
0.674509 + 0.738267i \(0.264356\pi\)
\(224\) 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 0.263590 + 0.964635i \(0.415094\pi\)
−0.990146 + 0.140040i \(0.955277\pi\)
\(228\) 10.3830 + 19.2430i 0.687633 + 1.27440i
\(229\) −0.936281 + 8.01039i −0.0618712 + 0.529342i 0.926390 + 0.376566i \(0.122895\pi\)
−0.988261 + 0.152776i \(0.951179\pi\)
\(230\) −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 0.669773 + 0.742566i \(0.266391\pi\)
−0.990388 + 0.138316i \(0.955831\pi\)
\(234\) −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 −0.487006 0.873398i \(-0.661911\pi\)
0.886828 0.462099i \(-0.152904\pi\)
\(240\) −12.9873 + 0.637540i −0.838325 + 0.0411530i
\(241\) 5.78823 + 7.77494i 0.372853 + 0.500828i 0.948459 0.316899i \(-0.102641\pi\)
−0.575607 + 0.817727i \(0.695234\pi\)
\(242\) 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 0.963191 + 0.268818i \(0.0866329\pi\)
−0.565055 + 0.825054i \(0.691145\pi\)
\(252\) −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 0.890710 + 0.454572i \(0.150208\pi\)
−0.971532 + 0.236907i \(0.923866\pi\)
\(258\) 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 0.971149 + 0.238471i \(0.0766464\pi\)
−0.680341 + 0.732895i \(0.738168\pi\)
\(264\) 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 −0.941292 0.337594i \(-0.890387\pi\)
0.763011 + 0.646386i \(0.223720\pi\)
\(270\) 13.6052 + 2.26047i 0.827984 + 0.137568i
\(271\) −1.60062 + 0.924120i −0.0972309 + 0.0561363i −0.547827 0.836592i \(-0.684545\pi\)
0.450596 + 0.892728i \(0.351211\pi\)
\(272\) 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 0.503662 + 0.863901i \(0.331986\pi\)
−0.837807 + 0.545967i \(0.816162\pi\)
\(278\) −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 −0.0441227 0.999026i \(-0.514049\pi\)
−0.159804 + 0.987149i \(0.551086\pi\)
\(282\) 23.8439 + 14.0713i 1.41988 + 0.837933i
\(283\) 7.10739 9.54688i 0.422490 0.567503i −0.539013 0.842298i \(-0.681202\pi\)
0.961503 + 0.274795i \(0.0886099\pi\)
\(284\) 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 −0.392974 0.919549i \(-0.628554\pi\)
0.0615183 + 0.998106i \(0.480406\pi\)
\(294\) 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 −0.666263 0.745717i \(-0.732107\pi\)
0.618692 + 0.785633i \(0.287663\pi\)
\(308\) 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 0.932248 0.361820i \(-0.117844\pi\)
−0.902926 + 0.429797i \(0.858585\pi\)
\(312\) 12.1784 + 0.585626i 0.689468 + 0.0331546i
\(313\) −2.47323 + 1.24210i −0.139795 + 0.0702077i −0.517322 0.855791i \(-0.673071\pi\)
0.377527 + 0.925999i \(0.376775\pi\)
\(314\) 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 −0.921285 0.388887i \(-0.872860\pi\)
0.441797 + 0.897115i \(0.354341\pi\)
\(318\) −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 −0.155907 0.987772i \(-0.549830\pi\)
0.995166 + 0.0982098i \(0.0313116\pi\)
\(332\) 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 0.791228 + 0.611521i \(0.209442\pi\)
−0.0981694 + 0.995170i \(0.531299\pi\)
\(338\) 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 −0.998248 0.0591703i \(-0.981154\pi\)
0.00102728 + 0.999999i \(0.499673\pi\)
\(348\) 1.97691 + 0.529089i 0.105973 + 0.0283622i
\(349\) −30.4009 13.1137i −1.62732 0.701959i −0.630106 0.776509i \(-0.716989\pi\)
−0.997217 + 0.0745500i \(0.976248\pi\)
\(350\) −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 0.999097 0.0424804i \(-0.0135260\pi\)
−0.981963 + 0.189072i \(0.939452\pi\)
\(354\) −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 −0.922671 0.385588i \(-0.873999\pi\)
0.998906 0.0467625i \(-0.0148904\pi\)
\(360\) −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 0.833672 0.552259i \(-0.186234\pi\)
0.763922 + 0.645309i \(0.223271\pi\)
\(368\) 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 0.384676 0.923052i \(-0.374313\pi\)
0.489234 + 0.872152i \(0.337276\pi\)
\(374\) 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 −0.565200 0.824954i \(-0.691201\pi\)
0.997031 + 0.0770007i \(0.0245344\pi\)
\(380\) −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 0.458834 0.888522i \(-0.348267\pi\)
−0.438708 + 0.898630i \(0.644564\pi\)
\(384\) 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 0.370929 0.928661i \(-0.379039\pi\)
−0.705794 + 0.708417i \(0.749410\pi\)
\(390\) 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 0.838429 0.545011i \(-0.183474\pi\)
−0.992600 + 0.121430i \(0.961252\pi\)
\(398\) 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 0.162244 0.986751i \(-0.448127\pi\)
−0.406675 + 0.913573i \(0.633312\pi\)
\(402\) −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 0.818644 + 0.574301i \(0.194726\pi\)
−0.999551 + 0.0299692i \(0.990459\pi\)
\(410\) −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 0.344550 + 0.938768i \(0.388032\pi\)
−0.551757 + 0.834005i \(0.686043\pi\)
\(420\) 10.9024 + 6.72027i 0.531982 + 0.327916i
\(421\) 13.8705 21.0890i 0.676005 1.02782i −0.320738 0.947168i \(-0.603931\pi\)
0.996743 0.0806473i \(-0.0256987\pi\)
\(422\) 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 −0.960922 0.276818i \(-0.910720\pi\)
0.720193 + 0.693774i \(0.244053\pi\)
\(432\) −11.5996 17.2467i −0.558087 0.829783i
\(433\) −1.44910 2.50992i −0.0696393 0.120619i 0.829103 0.559096i \(-0.188852\pi\)
−0.898743 + 0.438477i \(0.855518\pi\)
\(434\) −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 −0.753874 0.657019i \(-0.771817\pi\)
0.968556 0.248796i \(-0.0800348\pi\)
\(440\) −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 −0.734862 0.678217i \(-0.762753\pi\)
−0.808629 + 0.588318i \(0.799790\pi\)
\(444\) −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 −0.254265 0.967135i \(-0.581833\pi\)
0.0918490 + 0.995773i \(0.470722\pi\)
\(450\) 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 0.0107072 0.999943i \(-0.496592\pi\)
0.241021 + 0.970520i \(0.422518\pi\)
\(458\) 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 −0.897181 0.441663i \(-0.854389\pi\)
0.936937 + 0.349498i \(0.113648\pi\)
\(462\) 15.1625 22.5812i 0.705423 1.05057i
\(463\) −19.7412 + 18.6249i −0.917452 + 0.865571i −0.991290 0.131699i \(-0.957957\pi\)
0.0738377 + 0.997270i \(0.476475\pi\)
\(464\) −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 −0.672781 0.739842i \(-0.734900\pi\)
0.845429 + 0.534087i \(0.179345\pi\)
\(468\) 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 0.293588 0.955932i \(-0.405151\pi\)
0.937244 0.348674i \(-0.113368\pi\)
\(480\) 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 \(-0.888912\pi\)
0.939718 0.341952i \(-0.111088\pi\)
\(488\) −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 0.920051 0.391799i \(-0.128147\pi\)
−0.724170 + 0.689622i \(0.757777\pi\)
\(492\) −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 0.724741 0.689021i \(-0.241959\pi\)
−0.998523 + 0.0543223i \(0.982700\pi\)
\(500\) 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 −0.417143 0.908841i \(-0.636969\pi\)
0.822597 + 0.568625i \(0.192524\pi\)
\(504\) 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 −0.988100 0.153815i \(-0.950844\pi\)
−0.0961022 0.995371i \(-0.530638\pi\)
\(510\) 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 −0.693895 0.720076i \(-0.744107\pi\)
−0.898329 + 0.439324i \(0.855218\pi\)
\(522\) 2.30161 + 0.992343i 0.100739 + 0.0434337i
\(523\) 1.29028 + 7.31756i 0.0564201 + 0.319974i 0.999936 0.0113542i \(-0.00361425\pi\)
−0.943515 + 0.331329i \(0.892503\pi\)
\(524\) −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 −0.195430 0.980718i \(-0.562610\pi\)
−0.947042 + 0.321111i \(0.895944\pi\)
\(542\) 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 0.805805 + 0.592181i \(0.201733\pi\)
−0.347832 + 0.937557i \(0.613082\pi\)
\(548\) 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 0.394414 0.918933i \(-0.370948\pi\)
−0.288540 + 0.957468i \(0.593170\pi\)
\(558\) 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 0.329959 0.943995i \(-0.392965\pi\)
−0.243057 + 0.970012i \(0.578150\pi\)
\(564\) −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 −0.848529 0.529148i \(-0.822512\pi\)
0.263558 + 0.964644i \(0.415104\pi\)
\(570\) −26.5338 11.7470i −1.11138 0.492029i
\(571\) 8.38508 28.0081i 0.350905 1.17210i −0.582365 0.812927i \(-0.697873\pi\)
0.933270 0.359176i \(-0.116942\pi\)
\(572\) 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 −0.567087 0.823658i \(-0.691930\pi\)
−0.963851 + 0.266442i \(0.914152\pi\)
\(578\) −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 −0.132054 0.991243i \(-0.542157\pi\)
0.434367 + 0.900736i \(0.356972\pi\)
\(588\) −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 −0.426673 0.904406i \(-0.640314\pi\)
−0.996575 + 0.0826934i \(0.973648\pi\)
\(594\) −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 −0.852763 0.522297i \(-0.825075\pi\)
0.786362 0.617766i \(-0.211962\pi\)
\(600\) −5.49775 + 4.70885i −0.224445 + 0.192238i
\(601\) −37.0072 8.77087i −1.50956 0.357771i −0.609232 0.792992i \(-0.708522\pi\)
−0.900324 + 0.435221i \(0.856670\pi\)
\(602\) 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 0.0253844 0.999678i \(-0.491919\pi\)
−0.950400 + 0.311029i \(0.899326\pi\)
\(608\) 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 −0.779444 0.626472i \(-0.784498\pi\)
−0.946704 + 0.322105i \(0.895610\pi\)
\(614\) 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 0.881956 + 0.471331i \(0.156226\pi\)
−0.576612 + 0.817018i \(0.695626\pi\)
\(618\) −20.1019 + 20.9036i −0.808617 + 0.840866i
\(619\) 23.6351 2.76255i 0.949975 0.111036i 0.373030 0.927819i \(-0.378319\pi\)
0.576945 + 0.816783i \(0.304245\pi\)
\(620\) 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 0.996338 0.0855060i \(-0.0272507\pi\)
−0.257219 + 0.966353i \(0.582806\pi\)
\(632\) −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 0.755889 0.654700i \(-0.227205\pi\)
−0.609641 + 0.792678i \(0.708686\pi\)
\(642\) −12.6095 13.6234i −0.497657 0.537671i
\(643\) 8.09479 5.32402i 0.319227 0.209959i −0.379774 0.925079i \(-0.623998\pi\)
0.699002 + 0.715120i \(0.253628\pi\)
\(644\) 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 −0.804882 0.593435i \(-0.797772\pi\)
0.226104 + 0.974103i \(0.427401\pi\)
\(654\) −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 0.991856 0.127364i \(-0.0406516\pi\)
−0.694457 + 0.719534i \(0.744355\pi\)
\(660\) −22.7390 28.7407i −0.885112 1.11873i
\(661\) −36.4103 + 15.7059i −1.41620 + 0.610888i −0.960256 0.279122i \(-0.909957\pi\)
−0.455941 + 0.890010i \(0.650697\pi\)
\(662\) −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 −0.941483 0.337059i \(-0.890568\pi\)
0.891253 + 0.453506i \(0.149827\pi\)
\(674\) −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 −0.389495 0.921029i \(-0.627350\pi\)
−0.166592 + 0.986026i \(0.553276\pi\)
\(678\) −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 0.129642 0.991561i \(-0.458617\pi\)
−0.217310 + 0.976103i \(0.569728\pi\)
\(684\) −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 0.622451 + 0.782659i \(0.286137\pi\)
−0.709103 + 0.705105i \(0.750900\pi\)
\(692\) 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 0.932236 + 0.361850i \(0.117855\pi\)
−0.152747 + 0.988265i \(0.548812\pi\)
\(702\) 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 0.241826 0.970320i \(-0.422254\pi\)
0.735242 + 0.677804i \(0.237068\pi\)
\(710\) −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 −0.241690 0.970353i \(-0.577702\pi\)
−0.808877 + 0.587978i \(0.799924\pi\)
\(720\) 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 −0.409986 0.912092i \(-0.634467\pi\)
0.756189 + 0.654354i \(0.227059\pi\)
\(728\) 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 0.830243 0.557402i \(-0.188202\pi\)
0.387360 + 0.921928i \(0.373387\pi\)
\(734\) −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 0.961172 0.275948i \(-0.0889919\pi\)
0.558925 + 0.829218i \(0.311214\pi\)
\(740\) 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 −0.446875 0.894596i \(-0.647463\pi\)
−0.641138 + 0.767426i \(0.721537\pi\)
\(744\) −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 −0.628978 0.777423i \(-0.716526\pi\)
0.999189 + 0.0402726i \(0.0128226\pi\)
\(752\) 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 −0.583342 0.812226i \(-0.698255\pi\)
0.411738 + 0.911302i \(0.364922\pi\)
\(758\) −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 0.959398 0.282056i \(-0.0910163\pi\)
0.985656 + 0.168769i \(0.0539793\pi\)
\(762\) −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 0.00302733 0.999995i \(-0.499036\pi\)
0.957117 0.289702i \(-0.0935562\pi\)
\(770\) 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