Properties

Label 300.2.n.a.131.23
Level $300$
Weight $2$
Character 300.131
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.n (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 131.23
Character \(\chi\) \(=\) 300.131
Dual form 300.2.n.a.71.23

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.446933 + 1.34173i) q^{2} +(1.72317 + 0.175164i) q^{3} +(-1.60050 - 1.19933i) q^{4} +(-2.16063 - 0.575913i) q^{5} +(-1.00517 + 2.23375i) q^{6} +4.70514i q^{7} +(2.32450 - 1.61143i) q^{8} +(2.93863 + 0.603677i) q^{9} +O(q^{10})\) \(q+(-0.446933 + 1.34173i) q^{2} +(1.72317 + 0.175164i) q^{3} +(-1.60050 - 1.19933i) q^{4} +(-2.16063 - 0.575913i) q^{5} +(-1.00517 + 2.23375i) q^{6} +4.70514i q^{7} +(2.32450 - 1.61143i) q^{8} +(2.93863 + 0.603677i) q^{9} +(1.73838 - 2.64160i) q^{10} +(0.0957905 + 0.294813i) q^{11} +(-2.54786 - 2.34700i) q^{12} +(-1.61206 + 4.96142i) q^{13} +(-6.31304 - 2.10288i) q^{14} +(-3.62226 - 1.37086i) q^{15} +(1.12321 + 3.83906i) q^{16} +(-2.69217 + 3.70546i) q^{17} +(-2.12335 + 3.67306i) q^{18} +(2.88355 - 3.96886i) q^{19} +(2.76738 + 3.51306i) q^{20} +(-0.824173 + 8.10775i) q^{21} +(-0.438373 - 0.00323626i) q^{22} +(-0.222611 - 0.685126i) q^{23} +(4.28778 - 2.36959i) q^{24} +(4.33665 + 2.48867i) q^{25} +(-5.93643 - 4.38039i) q^{26} +(4.95803 + 1.55498i) q^{27} +(5.64302 - 7.53058i) q^{28} +(-2.34652 - 3.22971i) q^{29} +(3.45824 - 4.24742i) q^{30} +(2.15258 - 2.96277i) q^{31} +(-5.65300 - 0.208756i) q^{32} +(0.113423 + 0.524792i) q^{33} +(-3.76852 - 5.26827i) q^{34} +(2.70975 - 10.1661i) q^{35} +(-3.97928 - 4.49058i) q^{36} +(1.08397 - 3.33612i) q^{37} +(4.03640 + 5.64277i) q^{38} +(-3.64693 + 8.26700i) q^{39} +(-5.95043 + 2.14299i) q^{40} +(6.26489 + 2.03559i) q^{41} +(-10.5101 - 4.72945i) q^{42} -2.91650i q^{43} +(0.200265 - 0.586733i) q^{44} +(-6.00164 - 2.99672i) q^{45} +(1.01875 + 0.00752085i) q^{46} +(3.23343 - 2.34923i) q^{47} +(1.26301 + 6.81211i) q^{48} -15.1383 q^{49} +(-5.27733 + 4.70636i) q^{50} +(-5.28814 + 5.91356i) q^{51} +(8.53050 - 6.00736i) q^{52} +(1.65522 + 2.27822i) q^{53} +(-4.30228 + 5.95738i) q^{54} +(-0.0371813 - 0.692149i) q^{55} +(7.58198 + 10.9371i) q^{56} +(5.66405 - 6.33393i) q^{57} +(5.38215 - 1.70494i) q^{58} +(0.546184 - 1.68098i) q^{59} +(4.15331 + 6.53835i) q^{60} +(-1.48848 - 4.58108i) q^{61} +(3.01319 + 4.21235i) q^{62} +(-2.84038 + 13.8267i) q^{63} +(2.80661 - 7.49153i) q^{64} +(6.34042 - 9.79139i) q^{65} +(-0.754824 - 0.0823639i) q^{66} +(6.49353 - 8.93758i) q^{67} +(8.75289 - 2.70178i) q^{68} +(-0.263587 - 1.21958i) q^{69} +(12.4291 + 8.17932i) q^{70} +(0.155207 - 0.112765i) q^{71} +(7.80364 - 3.33215i) q^{72} +(0.448177 + 1.37935i) q^{73} +(3.99172 + 2.94542i) q^{74} +(7.03686 + 5.04803i) q^{75} +(-9.37510 + 2.89384i) q^{76} +(-1.38714 + 0.450708i) q^{77} +(-9.46219 - 8.58800i) q^{78} +(6.71671 + 9.24476i) q^{79} +(-0.215874 - 8.94167i) q^{80} +(8.27115 + 3.54797i) q^{81} +(-5.53120 + 7.49604i) q^{82} +(-3.47327 - 2.52348i) q^{83} +(11.0430 - 11.9880i) q^{84} +(7.95081 - 6.45566i) q^{85} +(3.91317 + 1.30348i) q^{86} +(-3.47773 - 5.97637i) q^{87} +(0.697735 + 0.530934i) q^{88} +(-4.46604 + 1.45110i) q^{89} +(6.70313 - 6.71327i) q^{90} +(-23.3442 - 7.58498i) q^{91} +(-0.465404 + 1.36353i) q^{92} +(4.22823 - 4.72830i) q^{93} +(1.70691 + 5.38836i) q^{94} +(-8.51600 + 6.91457i) q^{95} +(-9.70452 - 1.34993i) q^{96} +(2.12219 - 1.54186i) q^{97} +(6.76581 - 20.3116i) q^{98} +(0.103522 + 0.924174i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} + q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} + q^{6} - 6q^{9} - 8q^{10} - 9q^{12} - 12q^{13} - 18q^{16} - 26q^{18} + 12q^{21} - 6q^{22} - 16q^{24} - 12q^{25} + 2q^{28} - 13q^{30} + 6q^{33} - 30q^{34} + 35q^{36} + 12q^{37} - 24q^{40} - 13q^{42} - 6q^{45} - 18q^{46} - 34q^{48} - 168q^{49} - 28q^{52} - 38q^{54} - 44q^{57} - 34q^{58} - 76q^{60} + 4q^{61} + 18q^{64} - 46q^{66} - 18q^{69} + 72q^{70} - 29q^{72} - 20q^{73} + 16q^{76} + 5q^{78} - 30q^{81} - 20q^{82} - 18q^{84} - 76q^{85} + 6q^{88} + 2q^{90} - 52q^{93} + 96q^{94} - 50q^{96} - 72q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{2}{5}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.446933 + 1.34173i −0.316030 + 0.948749i
\(3\) 1.72317 + 0.175164i 0.994873 + 0.101131i
\(4\) −1.60050 1.19933i −0.800251 0.599666i
\(5\) −2.16063 0.575913i −0.966263 0.257556i
\(6\) −1.00517 + 2.23375i −0.410357 + 0.911925i
\(7\) 4.70514i 1.77837i 0.457543 + 0.889187i \(0.348729\pi\)
−0.457543 + 0.889187i \(0.651271\pi\)
\(8\) 2.32450 1.61143i 0.821835 0.569725i
\(9\) 2.93863 + 0.603677i 0.979545 + 0.201226i
\(10\) 1.73838 2.64160i 0.549724 0.835346i
\(11\) 0.0957905 + 0.294813i 0.0288819 + 0.0888895i 0.964458 0.264235i \(-0.0851193\pi\)
−0.935576 + 0.353124i \(0.885119\pi\)
\(12\) −2.54786 2.34700i −0.735503 0.677522i
\(13\) −1.61206 + 4.96142i −0.447106 + 1.37605i 0.433051 + 0.901369i \(0.357437\pi\)
−0.880158 + 0.474682i \(0.842563\pi\)
\(14\) −6.31304 2.10288i −1.68723 0.562019i
\(15\) −3.62226 1.37086i −0.935262 0.353955i
\(16\) 1.12321 + 3.83906i 0.280802 + 0.959766i
\(17\) −2.69217 + 3.70546i −0.652947 + 0.898705i −0.999222 0.0394280i \(-0.987446\pi\)
0.346275 + 0.938133i \(0.387446\pi\)
\(18\) −2.12335 + 3.67306i −0.500478 + 0.865749i
\(19\) 2.88355 3.96886i 0.661531 0.910519i −0.338000 0.941146i \(-0.609750\pi\)
0.999531 + 0.0306269i \(0.00975038\pi\)
\(20\) 2.76738 + 3.51306i 0.618805 + 0.785544i
\(21\) −0.824173 + 8.10775i −0.179849 + 1.76926i
\(22\) −0.438373 0.00323626i −0.0934614 0.000689973i
\(23\) −0.222611 0.685126i −0.0464176 0.142859i 0.925162 0.379573i \(-0.123929\pi\)
−0.971579 + 0.236715i \(0.923929\pi\)
\(24\) 4.28778 2.36959i 0.875239 0.483691i
\(25\) 4.33665 + 2.48867i 0.867330 + 0.497734i
\(26\) −5.93643 4.38039i −1.16423 0.859064i
\(27\) 4.95803 + 1.55498i 0.954173 + 0.299256i
\(28\) 5.64302 7.53058i 1.06643 1.42315i
\(29\) −2.34652 3.22971i −0.435738 0.599742i 0.533520 0.845787i \(-0.320869\pi\)
−0.969258 + 0.246045i \(0.920869\pi\)
\(30\) 3.45824 4.24742i 0.631385 0.775469i
\(31\) 2.15258 2.96277i 0.386614 0.532129i −0.570707 0.821154i \(-0.693331\pi\)
0.957322 + 0.289024i \(0.0933309\pi\)
\(32\) −5.65300 0.208756i −0.999319 0.0369032i
\(33\) 0.113423 + 0.524792i 0.0197444 + 0.0913546i
\(34\) −3.76852 5.26827i −0.646295 0.903501i
\(35\) 2.70975 10.1661i 0.458031 1.71838i
\(36\) −3.97928 4.49058i −0.663214 0.748430i
\(37\) 1.08397 3.33612i 0.178204 0.548454i −0.821562 0.570120i \(-0.806897\pi\)
0.999765 + 0.0216654i \(0.00689684\pi\)
\(38\) 4.03640 + 5.64277i 0.654791 + 0.915378i
\(39\) −3.64693 + 8.26700i −0.583976 + 1.32378i
\(40\) −5.95043 + 2.14299i −0.940845 + 0.338836i
\(41\) 6.26489 + 2.03559i 0.978411 + 0.317905i 0.754207 0.656637i \(-0.228022\pi\)
0.224204 + 0.974542i \(0.428022\pi\)
\(42\) −10.5101 4.72945i −1.62174 0.729769i
\(43\) 2.91650i 0.444762i −0.974960 0.222381i \(-0.928617\pi\)
0.974960 0.222381i \(-0.0713829\pi\)
\(44\) 0.200265 0.586733i 0.0301912 0.0884533i
\(45\) −6.00164 2.99672i −0.894671 0.446725i
\(46\) 1.01875 + 0.00752085i 0.150206 + 0.00110889i
\(47\) 3.23343 2.34923i 0.471645 0.342670i −0.326437 0.945219i \(-0.605848\pi\)
0.798082 + 0.602549i \(0.205848\pi\)
\(48\) 1.26301 + 6.81211i 0.182300 + 0.983243i
\(49\) −15.1383 −2.16262
\(50\) −5.27733 + 4.70636i −0.746327 + 0.665580i
\(51\) −5.28814 + 5.91356i −0.740487 + 0.828064i
\(52\) 8.53050 6.00736i 1.18297 0.833072i
\(53\) 1.65522 + 2.27822i 0.227362 + 0.312937i 0.907423 0.420218i \(-0.138047\pi\)
−0.680061 + 0.733156i \(0.738047\pi\)
\(54\) −4.30228 + 5.95738i −0.585466 + 0.810697i
\(55\) −0.0371813 0.692149i −0.00501353 0.0933293i
\(56\) 7.58198 + 10.9371i 1.01319 + 1.46153i
\(57\) 5.66405 6.33393i 0.750221 0.838950i
\(58\) 5.38215 1.70494i 0.706711 0.223870i
\(59\) 0.546184 1.68098i 0.0711071 0.218845i −0.909187 0.416387i \(-0.863296\pi\)
0.980294 + 0.197542i \(0.0632960\pi\)
\(60\) 4.15331 + 6.53835i 0.536190 + 0.844098i
\(61\) −1.48848 4.58108i −0.190581 0.586547i 0.809419 0.587231i \(-0.199782\pi\)
−1.00000 0.000684623i \(0.999782\pi\)
\(62\) 3.01319 + 4.21235i 0.382676 + 0.534969i
\(63\) −2.84038 + 13.8267i −0.357854 + 1.74200i
\(64\) 2.80661 7.49153i 0.350826 0.936441i
\(65\) 6.34042 9.79139i 0.786433 1.21447i
\(66\) −0.754824 0.0823639i −0.0929124 0.0101383i
\(67\) 6.49353 8.93758i 0.793312 1.09190i −0.200376 0.979719i \(-0.564216\pi\)
0.993688 0.112181i \(-0.0357835\pi\)
\(68\) 8.75289 2.70178i 1.06144 0.327639i
\(69\) −0.263587 1.21958i −0.0317321 0.146820i
\(70\) 12.4291 + 8.17932i 1.48556 + 0.977615i
\(71\) 0.155207 0.112765i 0.0184197 0.0133827i −0.578537 0.815656i \(-0.696376\pi\)
0.596957 + 0.802273i \(0.296376\pi\)
\(72\) 7.80364 3.33215i 0.919668 0.392697i
\(73\) 0.448177 + 1.37935i 0.0524552 + 0.161440i 0.973852 0.227182i \(-0.0729511\pi\)
−0.921397 + 0.388622i \(0.872951\pi\)
\(74\) 3.99172 + 2.94542i 0.464028 + 0.342398i
\(75\) 7.03686 + 5.04803i 0.812546 + 0.582896i
\(76\) −9.37510 + 2.89384i −1.07540 + 0.331946i
\(77\) −1.38714 + 0.450708i −0.158079 + 0.0513629i
\(78\) −9.46219 8.58800i −1.07138 0.972400i
\(79\) 6.71671 + 9.24476i 0.755689 + 1.04012i 0.997560 + 0.0698089i \(0.0222389\pi\)
−0.241871 + 0.970308i \(0.577761\pi\)
\(80\) −0.215874 8.94167i −0.0241355 0.999709i
\(81\) 8.27115 + 3.54797i 0.919017 + 0.394219i
\(82\) −5.53120 + 7.49604i −0.610819 + 0.827800i
\(83\) −3.47327 2.52348i −0.381241 0.276988i 0.380616 0.924733i \(-0.375712\pi\)
−0.761857 + 0.647746i \(0.775712\pi\)
\(84\) 11.0430 11.9880i 1.20489 1.30800i
\(85\) 7.95081 6.45566i 0.862386 0.700215i
\(86\) 3.91317 + 1.30348i 0.421968 + 0.140558i
\(87\) −3.47773 5.97637i −0.372851 0.640734i
\(88\) 0.697735 + 0.530934i 0.0743788 + 0.0565977i
\(89\) −4.46604 + 1.45110i −0.473399 + 0.153817i −0.535993 0.844222i \(-0.680063\pi\)
0.0625938 + 0.998039i \(0.480063\pi\)
\(90\) 6.70313 6.71327i 0.706572 0.707641i
\(91\) −23.3442 7.58498i −2.44713 0.795122i
\(92\) −0.465404 + 1.36353i −0.0485217 + 0.142158i
\(93\) 4.22823 4.72830i 0.438447 0.490302i
\(94\) 1.70691 + 5.38836i 0.176054 + 0.555767i
\(95\) −8.51600 + 6.91457i −0.873723 + 0.709420i
\(96\) −9.70452 1.34993i −0.990463 0.137776i
\(97\) 2.12219 1.54186i 0.215476 0.156552i −0.474812 0.880087i \(-0.657484\pi\)
0.690288 + 0.723535i \(0.257484\pi\)
\(98\) 6.76581 20.3116i 0.683451 2.05178i
\(99\) 0.103522 + 0.924174i 0.0104043 + 0.0928830i
\(100\) −3.95607 9.18420i −0.395607 0.918420i
\(101\) 14.8019i 1.47284i 0.676523 + 0.736422i \(0.263486\pi\)
−0.676523 + 0.736422i \(0.736514\pi\)
\(102\) −5.57098 9.73824i −0.551610 0.964229i
\(103\) 5.60809 + 7.71887i 0.552581 + 0.760563i 0.990360 0.138520i \(-0.0442345\pi\)
−0.437778 + 0.899083i \(0.644235\pi\)
\(104\) 4.24772 + 14.1306i 0.416524 + 1.38561i
\(105\) 6.45009 17.0432i 0.629465 1.66325i
\(106\) −3.79654 + 1.20266i −0.368752 + 0.116812i
\(107\) 19.8617 1.92010 0.960050 0.279829i \(-0.0902777\pi\)
0.960050 + 0.279829i \(0.0902777\pi\)
\(108\) −6.07039 8.43507i −0.584124 0.811665i
\(109\) −0.673867 + 2.07395i −0.0645447 + 0.198648i −0.978128 0.208003i \(-0.933304\pi\)
0.913583 + 0.406651i \(0.133304\pi\)
\(110\) 0.945297 + 0.259457i 0.0901306 + 0.0247382i
\(111\) 2.45223 5.55883i 0.232756 0.527620i
\(112\) −18.0633 + 5.28485i −1.70682 + 0.499372i
\(113\) −13.5868 4.41462i −1.27814 0.415293i −0.410215 0.911989i \(-0.634546\pi\)
−0.867925 + 0.496696i \(0.834546\pi\)
\(114\) 5.96700 + 10.4305i 0.558861 + 0.976905i
\(115\) 0.0864069 + 1.60851i 0.00805748 + 0.149994i
\(116\) −0.117881 + 7.98341i −0.0109449 + 0.741241i
\(117\) −7.73236 + 13.6066i −0.714857 + 1.25793i
\(118\) 2.01132 + 1.48412i 0.185157 + 0.136624i
\(119\) −17.4347 12.6670i −1.59823 1.16119i
\(120\) −10.6290 + 2.65043i −0.970289 + 0.241950i
\(121\) 8.82145 6.40916i 0.801950 0.582651i
\(122\) 6.81184 + 0.0502880i 0.616715 + 0.00455286i
\(123\) 10.4389 + 4.60505i 0.941245 + 0.415223i
\(124\) −6.99855 + 2.16026i −0.628488 + 0.193997i
\(125\) −7.93664 7.87463i −0.709874 0.704328i
\(126\) −17.2823 9.99064i −1.53963 0.890037i
\(127\) 1.31545 0.427417i 0.116728 0.0379271i −0.250071 0.968228i \(-0.580454\pi\)
0.366798 + 0.930300i \(0.380454\pi\)
\(128\) 8.79727 + 7.11393i 0.777576 + 0.628789i
\(129\) 0.510867 5.02562i 0.0449793 0.442482i
\(130\) 10.3037 + 12.8833i 0.903694 + 1.12994i
\(131\) 9.17495 + 6.66599i 0.801619 + 0.582410i 0.911389 0.411547i \(-0.135011\pi\)
−0.109770 + 0.993957i \(0.535011\pi\)
\(132\) 0.447866 0.975962i 0.0389818 0.0849466i
\(133\) 18.6740 + 13.5675i 1.61924 + 1.17645i
\(134\) 9.08969 + 12.7071i 0.785229 + 1.09773i
\(135\) −9.81693 6.21513i −0.844907 0.534914i
\(136\) −0.286884 + 12.9516i −0.0246001 + 1.11059i
\(137\) −14.3339 4.65738i −1.22463 0.397906i −0.375864 0.926675i \(-0.622654\pi\)
−0.848766 + 0.528768i \(0.822654\pi\)
\(138\) 1.75416 + 0.191408i 0.149324 + 0.0162938i
\(139\) −5.56825 + 1.80923i −0.472292 + 0.153457i −0.535486 0.844544i \(-0.679871\pi\)
0.0631934 + 0.998001i \(0.479871\pi\)
\(140\) −16.5294 + 13.0209i −1.39699 + 1.10047i
\(141\) 5.98326 3.48174i 0.503881 0.293215i
\(142\) 0.0819330 + 0.258645i 0.00687566 + 0.0217050i
\(143\) −1.61711 −0.135230
\(144\) 0.983151 + 11.9597i 0.0819292 + 0.996638i
\(145\) 3.20993 + 8.32960i 0.266570 + 0.691736i
\(146\) −2.05102 0.0151416i −0.169744 0.00125312i
\(147\) −26.0859 2.65169i −2.15153 0.218708i
\(148\) −5.73601 + 4.03942i −0.471497 + 0.332038i
\(149\) 9.39100i 0.769340i −0.923054 0.384670i \(-0.874315\pi\)
0.923054 0.384670i \(-0.125685\pi\)
\(150\) −9.91812 + 7.18546i −0.809811 + 0.586690i
\(151\) 6.95387i 0.565898i −0.959135 0.282949i \(-0.908687\pi\)
0.959135 0.282949i \(-0.0913127\pi\)
\(152\) 0.307278 13.8722i 0.0249235 1.12519i
\(153\) −10.1482 + 9.26378i −0.820434 + 0.748932i
\(154\) 0.0152271 2.06260i 0.00122703 0.166209i
\(155\) −6.35722 + 5.16175i −0.510625 + 0.414602i
\(156\) 15.7518 8.85748i 1.26115 0.709166i
\(157\) 2.71621 0.216777 0.108388 0.994109i \(-0.465431\pi\)
0.108388 + 0.994109i \(0.465431\pi\)
\(158\) −15.4059 + 4.88025i −1.22563 + 0.388252i
\(159\) 2.45317 + 4.21570i 0.194549 + 0.334326i
\(160\) 12.0938 + 3.70668i 0.956101 + 0.293039i
\(161\) 3.22361 1.04741i 0.254056 0.0825478i
\(162\) −8.45708 + 9.51198i −0.664451 + 0.747332i
\(163\) −10.2857 3.34203i −0.805640 0.261768i −0.122890 0.992420i \(-0.539216\pi\)
−0.682750 + 0.730652i \(0.739216\pi\)
\(164\) −7.58562 10.7716i −0.592337 0.841123i
\(165\) 0.0571701 1.19920i 0.00445069 0.0933579i
\(166\) 4.93816 3.53238i 0.383275 0.274166i
\(167\) −1.39974 1.01697i −0.108315 0.0786954i 0.532309 0.846550i \(-0.321324\pi\)
−0.640624 + 0.767855i \(0.721324\pi\)
\(168\) 11.1493 + 20.1746i 0.860184 + 1.55650i
\(169\) −11.4997 8.35505i −0.884595 0.642696i
\(170\) 5.10831 + 13.5531i 0.391789 + 1.03948i
\(171\) 10.8696 9.92230i 0.831219 0.758778i
\(172\) −3.49785 + 4.66786i −0.266708 + 0.355921i
\(173\) −4.58197 + 1.48877i −0.348360 + 0.113189i −0.477971 0.878376i \(-0.658627\pi\)
0.129610 + 0.991565i \(0.458627\pi\)
\(174\) 9.57301 1.99515i 0.725728 0.151252i
\(175\) −11.7095 + 20.4045i −0.885158 + 1.54244i
\(176\) −1.02421 + 0.698883i −0.0772029 + 0.0526803i
\(177\) 1.23562 2.80095i 0.0928746 0.210532i
\(178\) 0.0490252 6.64079i 0.00367460 0.497748i
\(179\) −16.3643 + 11.8894i −1.22313 + 0.888653i −0.996356 0.0852959i \(-0.972816\pi\)
−0.226770 + 0.973948i \(0.572816\pi\)
\(180\) 6.01157 + 11.9942i 0.448076 + 0.893995i
\(181\) −16.9412 12.3085i −1.25923 0.914884i −0.260510 0.965471i \(-0.583891\pi\)
−0.998720 + 0.0505873i \(0.983891\pi\)
\(182\) 20.6103 27.9317i 1.52774 2.07043i
\(183\) −1.76247 8.15470i −0.130285 0.602813i
\(184\) −1.62149 1.23385i −0.119538 0.0909609i
\(185\) −4.26337 + 6.58384i −0.313449 + 0.484054i
\(186\) 4.45439 + 7.78640i 0.326612 + 0.570926i
\(187\) −1.35030 0.438739i −0.0987438 0.0320838i
\(188\) −7.99262 0.118017i −0.582922 0.00860724i
\(189\) −7.31640 + 23.3282i −0.532190 + 1.69688i
\(190\) −5.47143 14.5166i −0.396940 1.05314i
\(191\) 3.06767 9.44133i 0.221969 0.683150i −0.776616 0.629974i \(-0.783065\pi\)
0.998585 0.0531763i \(-0.0169345\pi\)
\(192\) 6.14851 12.4176i 0.443731 0.896160i
\(193\) −14.8673 −1.07017 −0.535086 0.844797i \(-0.679721\pi\)
−0.535086 + 0.844797i \(0.679721\pi\)
\(194\) 1.12029 + 3.53652i 0.0804321 + 0.253907i
\(195\) 12.6407 15.7616i 0.905222 1.12871i
\(196\) 24.2289 + 18.1559i 1.73064 + 1.29685i
\(197\) 11.7328 + 16.1488i 0.835928 + 1.15056i 0.986790 + 0.162002i \(0.0517951\pi\)
−0.150862 + 0.988555i \(0.548205\pi\)
\(198\) −1.28626 0.274145i −0.0914108 0.0194827i
\(199\) 0.946212i 0.0670752i −0.999437 0.0335376i \(-0.989323\pi\)
0.999437 0.0335376i \(-0.0106774\pi\)
\(200\) 14.0909 1.20327i 0.996374 0.0850842i
\(201\) 12.7550 14.2635i 0.899669 1.00607i
\(202\) −19.8602 6.61546i −1.39736 0.465462i
\(203\) 15.1962 11.0407i 1.06657 0.774906i
\(204\) 15.5560 3.12244i 1.08914 0.218614i
\(205\) −12.3638 8.00618i −0.863524 0.559176i
\(206\) −12.8631 + 4.07474i −0.896216 + 0.283901i
\(207\) −0.240578 2.14772i −0.0167213 0.149277i
\(208\) −20.8579 0.616097i −1.44623 0.0427186i
\(209\) 1.44629 + 0.469928i 0.100042 + 0.0325056i
\(210\) 19.9847 + 16.2715i 1.37907 + 1.12284i
\(211\) 24.3711 7.91866i 1.67778 0.545143i 0.693300 0.720649i \(-0.256156\pi\)
0.984478 + 0.175506i \(0.0561562\pi\)
\(212\) 0.0831523 5.63145i 0.00571092 0.386770i
\(213\) 0.287201 0.167126i 0.0196787 0.0114513i
\(214\) −8.87684 + 26.6491i −0.606808 + 1.82169i
\(215\) −1.67965 + 6.30148i −0.114551 + 0.429757i
\(216\) 14.0307 4.37494i 0.954667 0.297677i
\(217\) 13.9402 + 10.1282i 0.946325 + 0.687545i
\(218\) −2.48151 1.83107i −0.168069 0.124015i
\(219\) 0.530673 + 2.45536i 0.0358596 + 0.165918i
\(220\) −0.770607 + 1.15238i −0.0519543 + 0.0776933i
\(221\) −14.0444 19.3304i −0.944727 1.30031i
\(222\) 6.36248 + 5.77467i 0.427022 + 0.387571i
\(223\) −12.2224 + 3.97130i −0.818474 + 0.265938i −0.688182 0.725538i \(-0.741591\pi\)
−0.130291 + 0.991476i \(0.541591\pi\)
\(224\) 0.982225 26.5981i 0.0656276 1.77716i
\(225\) 11.2415 + 9.93123i 0.749432 + 0.662082i
\(226\) 11.9956 16.2568i 0.797939 1.08139i
\(227\) −3.54353 10.9059i −0.235193 0.723849i −0.997096 0.0761576i \(-0.975735\pi\)
0.761903 0.647691i \(-0.224265\pi\)
\(228\) −16.6618 + 3.34440i −1.10345 + 0.221488i
\(229\) 19.9240 14.4757i 1.31662 0.956578i 0.316649 0.948543i \(-0.397442\pi\)
0.999968 0.00803568i \(-0.00255786\pi\)
\(230\) −2.19681 0.602960i −0.144853 0.0397580i
\(231\) −2.46922 + 0.533669i −0.162463 + 0.0351129i
\(232\) −10.6589 3.72622i −0.699793 0.244638i
\(233\) 7.89436 10.8656i 0.517176 0.711832i −0.467932 0.883764i \(-0.655001\pi\)
0.985109 + 0.171932i \(0.0550009\pi\)
\(234\) −14.8006 16.4560i −0.967549 1.07576i
\(235\) −8.33921 + 3.21364i −0.543990 + 0.209634i
\(236\) −2.89022 + 2.03536i −0.188137 + 0.132490i
\(237\) 9.95469 + 17.1068i 0.646627 + 1.11121i
\(238\) 24.7879 17.7314i 1.60676 1.14936i
\(239\) 0.528041 + 1.62514i 0.0341562 + 0.105122i 0.966681 0.255984i \(-0.0823994\pi\)
−0.932525 + 0.361106i \(0.882399\pi\)
\(240\) 1.19427 15.4458i 0.0770900 0.997024i
\(241\) −6.74168 + 20.7488i −0.434270 + 1.33654i 0.459563 + 0.888145i \(0.348006\pi\)
−0.893833 + 0.448400i \(0.851994\pi\)
\(242\) 4.65679 + 14.7005i 0.299350 + 0.944984i
\(243\) 13.6311 + 7.56257i 0.874437 + 0.485139i
\(244\) −3.11191 + 9.11720i −0.199220 + 0.583669i
\(245\) 32.7083 + 8.71835i 2.08966 + 0.556995i
\(246\) −10.8442 + 11.9481i −0.691404 + 0.761783i
\(247\) 15.0427 + 20.7045i 0.957146 + 1.31740i
\(248\) 0.229384 10.3557i 0.0145659 0.657587i
\(249\) −5.54301 4.95678i −0.351274 0.314123i
\(250\) 14.1128 7.12942i 0.892572 0.450904i
\(251\) 16.8250 1.06198 0.530992 0.847377i \(-0.321819\pi\)
0.530992 + 0.847377i \(0.321819\pi\)
\(252\) 21.1288 18.7231i 1.33099 1.17944i
\(253\) 0.180660 0.131257i 0.0113580 0.00825206i
\(254\) −0.0144402 + 1.95601i −0.000906057 + 0.122731i
\(255\) 14.8314 9.73151i 0.928779 0.609411i
\(256\) −13.4768 + 8.62414i −0.842300 + 0.539009i
\(257\) 17.8425i 1.11299i 0.830852 + 0.556493i \(0.187853\pi\)
−0.830852 + 0.556493i \(0.812147\pi\)
\(258\) 6.51473 + 2.93157i 0.405589 + 0.182511i
\(259\) 15.6969 + 5.10023i 0.975357 + 0.316913i
\(260\) −21.8910 + 8.06687i −1.35762 + 0.500286i
\(261\) −4.94587 10.9075i −0.306142 0.675156i
\(262\) −13.0446 + 9.33109i −0.805897 + 0.576477i
\(263\) 0.471467 1.45103i 0.0290719 0.0894741i −0.935468 0.353412i \(-0.885021\pi\)
0.964540 + 0.263938i \(0.0850214\pi\)
\(264\) 1.10932 + 1.03711i 0.0682736 + 0.0638296i
\(265\) −2.26427 5.87565i −0.139093 0.360938i
\(266\) −26.5500 + 18.9918i −1.62788 + 1.16446i
\(267\) −7.94993 + 1.71821i −0.486528 + 0.105153i
\(268\) −21.1120 + 6.51672i −1.28962 + 0.398072i
\(269\) 15.2776 21.0279i 0.931494 1.28209i −0.0277802 0.999614i \(-0.508844\pi\)
0.959274 0.282477i \(-0.0911561\pi\)
\(270\) 12.7266 10.3940i 0.774514 0.632556i
\(271\) 1.36039 + 1.87242i 0.0826379 + 0.113741i 0.848335 0.529460i \(-0.177606\pi\)
−0.765697 + 0.643202i \(0.777606\pi\)
\(272\) −17.2494 6.17341i −1.04590 0.374318i
\(273\) −38.8974 17.1593i −2.35418 1.03853i
\(274\) 12.6553 17.1508i 0.764533 1.03612i
\(275\) −0.318283 + 1.51689i −0.0191932 + 0.0914720i
\(276\) −1.04081 + 2.26807i −0.0626495 + 0.136522i
\(277\) −2.46255 7.57895i −0.147960 0.455375i 0.849419 0.527718i \(-0.176952\pi\)
−0.997380 + 0.0723432i \(0.976952\pi\)
\(278\) 0.0611245 8.27971i 0.00366600 0.496584i
\(279\) 8.11420 7.40704i 0.485784 0.443448i
\(280\) −10.0830 27.9976i −0.602577 1.67318i
\(281\) −4.55414 + 6.26824i −0.271677 + 0.373932i −0.922955 0.384908i \(-0.874233\pi\)
0.651278 + 0.758839i \(0.274233\pi\)
\(282\) 1.99745 + 9.58405i 0.118946 + 0.570722i
\(283\) −0.974082 + 1.34071i −0.0579032 + 0.0796969i −0.836987 0.547223i \(-0.815685\pi\)
0.779083 + 0.626920i \(0.215685\pi\)
\(284\) −0.383652 0.00566488i −0.0227655 0.000336149i
\(285\) −15.8857 + 10.4233i −0.940988 + 0.617422i
\(286\) 0.722741 2.16973i 0.0427366 0.128299i
\(287\) −9.57771 + 29.4772i −0.565354 + 1.73998i
\(288\) −16.4861 4.02604i −0.971452 0.237237i
\(289\) −1.22933 3.78349i −0.0723135 0.222558i
\(290\) −12.6107 + 0.584102i −0.740528 + 0.0342997i
\(291\) 3.92697 2.28516i 0.230203 0.133958i
\(292\) 0.936987 2.74516i 0.0548330 0.160648i
\(293\) 6.24685i 0.364945i −0.983211 0.182472i \(-0.941590\pi\)
0.983211 0.182472i \(-0.0584100\pi\)
\(294\) 15.2165 33.8152i 0.887446 1.97214i
\(295\) −2.14820 + 3.31742i −0.125073 + 0.193148i
\(296\) −2.85622 9.50155i −0.166014 0.552266i
\(297\) 0.0165032 + 1.61064i 0.000957612 + 0.0934590i
\(298\) 12.6002 + 4.19715i 0.729911 + 0.243134i
\(299\) 3.75806 0.217334
\(300\) −5.20824 16.5189i −0.300698 0.953719i
\(301\) 13.7225 0.790953
\(302\) 9.33025 + 3.10792i 0.536895 + 0.178840i
\(303\) −2.59277 + 25.5062i −0.148951 + 1.46529i
\(304\) 18.4755 + 6.61225i 1.05964 + 0.379239i
\(305\) 0.577757 + 10.7552i 0.0330823 + 0.615844i
\(306\) −7.89396 17.7565i −0.451268 1.01507i
\(307\) 1.38768i 0.0791991i 0.999216 + 0.0395995i \(0.0126082\pi\)
−0.999216 + 0.0395995i \(0.987392\pi\)
\(308\) 2.76066 + 0.942276i 0.157303 + 0.0536912i
\(309\) 8.31162 + 14.2833i 0.472832 + 0.812547i
\(310\) −4.08445 10.8367i −0.231981 0.615481i
\(311\) 0.845914 + 2.60346i 0.0479674 + 0.147628i 0.972171 0.234271i \(-0.0752702\pi\)
−0.924204 + 0.381899i \(0.875270\pi\)
\(312\) 4.84438 + 25.0934i 0.274259 + 1.42063i
\(313\) −3.00167 + 9.23820i −0.169665 + 0.522174i −0.999350 0.0360579i \(-0.988520\pi\)
0.829685 + 0.558232i \(0.188520\pi\)
\(314\) −1.21396 + 3.64443i −0.0685079 + 0.205667i
\(315\) 14.1000 28.2385i 0.794444 1.59106i
\(316\) 0.337423 22.8518i 0.0189815 1.28552i
\(317\) 7.07755 9.74141i 0.397515 0.547132i −0.562603 0.826727i \(-0.690200\pi\)
0.960118 + 0.279595i \(0.0902002\pi\)
\(318\) −6.75274 + 1.40737i −0.378675 + 0.0789211i
\(319\) 0.727386 1.00116i 0.0407258 0.0560542i
\(320\) −10.3785 + 14.5701i −0.580176 + 0.814491i
\(321\) 34.2250 + 3.47906i 1.91026 + 0.194182i
\(322\) −0.0353866 + 4.79335i −0.00197202 + 0.267123i
\(323\) 6.94344 + 21.3697i 0.386343 + 1.18904i
\(324\) −8.98280 15.5984i −0.499044 0.866577i
\(325\) −19.3383 + 17.5040i −1.07270 + 0.970950i
\(326\) 9.08115 12.3070i 0.502958 0.681624i
\(327\) −1.52447 + 3.45573i −0.0843034 + 0.191102i
\(328\) 17.8429 5.36369i 0.985211 0.296160i
\(329\) 11.0534 + 15.2137i 0.609396 + 0.838761i
\(330\) 1.58346 + 0.612671i 0.0871667 + 0.0337264i
\(331\) −6.71566 + 9.24331i −0.369126 + 0.508058i −0.952663 0.304028i \(-0.901668\pi\)
0.583537 + 0.812087i \(0.301668\pi\)
\(332\) 2.53249 + 8.20443i 0.138988 + 0.450277i
\(333\) 5.19933 9.14926i 0.284921 0.501377i
\(334\) 1.99009 1.42356i 0.108893 0.0778937i
\(335\) −19.1774 + 15.5711i −1.04777 + 0.850740i
\(336\) −32.0519 + 5.94266i −1.74857 + 0.324198i
\(337\) −9.19525 + 28.3001i −0.500897 + 1.54160i 0.306663 + 0.951818i \(0.400787\pi\)
−0.807560 + 0.589785i \(0.799213\pi\)
\(338\) 16.3499 11.6954i 0.889316 0.636148i
\(339\) −22.6391 9.98708i −1.22959 0.542424i
\(340\) −20.4678 + 0.796648i −1.11002 + 0.0432043i
\(341\) 1.07966 + 0.350803i 0.0584668 + 0.0189970i
\(342\) 8.45511 + 19.0187i 0.457200 + 1.02841i
\(343\) 38.2919i 2.06757i
\(344\) −4.69972 6.77940i −0.253392 0.365521i
\(345\) −0.132860 + 2.78687i −0.00715292 + 0.150040i
\(346\) 0.0502978 6.81316i 0.00270403 0.366278i
\(347\) 13.5928 9.87576i 0.729700 0.530158i −0.159768 0.987155i \(-0.551075\pi\)
0.889469 + 0.456996i \(0.151075\pi\)
\(348\) −1.60154 + 13.7361i −0.0858515 + 0.736334i
\(349\) −19.7352 −1.05640 −0.528201 0.849119i \(-0.677133\pi\)
−0.528201 + 0.849119i \(0.677133\pi\)
\(350\) −22.1441 24.8305i −1.18365 1.32725i
\(351\) −15.7076 + 22.0921i −0.838409 + 1.17919i
\(352\) −0.479960 1.68657i −0.0255820 0.0898947i
\(353\) 15.6503 + 21.5408i 0.832983 + 1.14650i 0.987360 + 0.158491i \(0.0506628\pi\)
−0.154377 + 0.988012i \(0.549337\pi\)
\(354\) 3.20589 + 2.90970i 0.170391 + 0.154649i
\(355\) −0.400288 + 0.154257i −0.0212451 + 0.00818711i
\(356\) 8.88826 + 3.03377i 0.471077 + 0.160789i
\(357\) −27.8241 24.8814i −1.47261 1.31686i
\(358\) −8.63861 27.2703i −0.456565 1.44128i
\(359\) 7.39358 22.7551i 0.390218 1.20097i −0.542405 0.840117i \(-0.682486\pi\)
0.932623 0.360851i \(-0.117514\pi\)
\(360\) −18.7798 + 2.70532i −0.989783 + 0.142583i
\(361\) −1.56570 4.81872i −0.0824051 0.253617i
\(362\) 24.0863 17.2295i 1.26595 0.905563i
\(363\) 16.3235 9.49887i 0.856762 0.498561i
\(364\) 28.2655 + 40.1372i 1.48151 + 2.10376i
\(365\) −0.173961 3.23837i −0.00910554 0.169504i
\(366\) 11.7292 + 1.27985i 0.613093 + 0.0668987i
\(367\) −0.859077 + 1.18242i −0.0448434 + 0.0617217i −0.830850 0.556497i \(-0.812145\pi\)
0.786006 + 0.618218i \(0.212145\pi\)
\(368\) 2.38020 1.62416i 0.124077 0.0846650i
\(369\) 17.1814 + 9.76381i 0.894427 + 0.508284i
\(370\) −6.92833 8.66285i −0.360187 0.450360i
\(371\) −10.7193 + 7.78805i −0.556520 + 0.404335i
\(372\) −12.4381 + 2.49661i −0.644885 + 0.129443i
\(373\) −6.04529 18.6055i −0.313013 0.963355i −0.976565 0.215225i \(-0.930952\pi\)
0.663551 0.748131i \(-0.269048\pi\)
\(374\) 1.19217 1.61566i 0.0616454 0.0835437i
\(375\) −12.2968 14.9595i −0.635005 0.772508i
\(376\) 3.73051 10.6712i 0.192387 0.550326i
\(377\) 19.8067 6.43559i 1.02010 0.331450i
\(378\) −28.0303 20.2428i −1.44172 1.04118i
\(379\) −19.4302 26.7433i −0.998061 1.37371i −0.926508 0.376276i \(-0.877204\pi\)
−0.0715534 0.997437i \(-0.522796\pi\)
\(380\) 21.9227 0.853278i 1.12461 0.0437723i
\(381\) 2.34162 0.506091i 0.119965 0.0259278i
\(382\) 11.2967 + 8.33564i 0.577990 + 0.426489i
\(383\) −7.35026 5.34028i −0.375581 0.272876i 0.383940 0.923358i \(-0.374567\pi\)
−0.759521 + 0.650482i \(0.774567\pi\)
\(384\) 13.9131 + 13.7995i 0.709999 + 0.704202i
\(385\) 3.25666 0.174943i 0.165975 0.00891593i
\(386\) 6.64470 19.9480i 0.338206 1.01533i
\(387\) 1.76062 8.57052i 0.0894974 0.435664i
\(388\) −5.24577 0.0774574i −0.266313 0.00393230i
\(389\) −28.3055 + 9.19700i −1.43514 + 0.466306i −0.920380 0.391026i \(-0.872120\pi\)
−0.514764 + 0.857332i \(0.672120\pi\)
\(390\) 15.4983 + 24.0049i 0.784789 + 1.21554i
\(391\) 3.13801 + 1.01960i 0.158696 + 0.0515634i
\(392\) −35.1890 + 24.3943i −1.77731 + 1.23210i
\(393\) 14.6424 + 13.0938i 0.738609 + 0.660493i
\(394\) −26.9112 + 8.52487i −1.35577 + 0.429477i
\(395\) −9.18816 23.8428i −0.462306 1.19966i
\(396\) 0.942704 1.60330i 0.0473727 0.0805688i
\(397\) 25.0659 18.2115i 1.25802 0.914008i 0.259365 0.965779i \(-0.416487\pi\)
0.998659 + 0.0517719i \(0.0164869\pi\)
\(398\) 1.26957 + 0.422894i 0.0636376 + 0.0211977i
\(399\) 29.8020 + 26.6501i 1.49197 + 1.33417i
\(400\) −4.68320 + 19.4440i −0.234160 + 0.972198i
\(401\) 2.23671i 0.111696i 0.998439 + 0.0558479i \(0.0177862\pi\)
−0.998439 + 0.0558479i \(0.982214\pi\)
\(402\) 13.4372 + 23.4887i 0.670189 + 1.17151i
\(403\) 11.2295 + 15.4560i 0.559379 + 0.769919i
\(404\) 17.7524 23.6905i 0.883214 1.17864i
\(405\) −15.8276 12.4293i −0.786479 0.617618i
\(406\) 8.02199 + 25.3238i 0.398125 + 1.25680i
\(407\) 1.08736 0.0538987
\(408\) −2.76301 + 22.2675i −0.136789 + 1.10241i
\(409\) −0.646477 + 1.98965i −0.0319662 + 0.0983820i −0.965767 0.259412i \(-0.916471\pi\)
0.933800 + 0.357794i \(0.116471\pi\)
\(410\) 16.2680 13.0107i 0.803417 0.642552i
\(411\) −23.8840 10.5362i −1.17811 0.519715i
\(412\) 0.281730 19.0800i 0.0138798 0.940005i
\(413\) 7.90925 + 2.56987i 0.389189 + 0.126455i
\(414\) 2.98919 + 0.637096i 0.146911 + 0.0313115i
\(415\) 6.05115 + 7.45261i 0.297039 + 0.365834i
\(416\) 10.1487 27.7104i 0.497582 1.35861i
\(417\) −9.91195 + 2.14226i −0.485390 + 0.104907i
\(418\) −1.27691 + 1.73051i −0.0624558 + 0.0846419i
\(419\) 31.9784 + 23.2337i 1.56225 + 1.13504i 0.934135 + 0.356919i \(0.116173\pi\)
0.628114 + 0.778122i \(0.283827\pi\)
\(420\) −30.7638 + 19.5419i −1.50112 + 0.953546i
\(421\) −25.7585 + 18.7146i −1.25539 + 0.912094i −0.998522 0.0543522i \(-0.982691\pi\)
−0.256868 + 0.966446i \(0.582691\pi\)
\(422\) −0.267530 + 36.2387i −0.0130232 + 1.76407i
\(423\) 10.9201 4.95157i 0.530951 0.240754i
\(424\) 7.51875 + 2.62845i 0.365143 + 0.127649i
\(425\) −20.8967 + 9.36933i −1.01364 + 0.454479i
\(426\) 0.0958790 + 0.460042i 0.00464535 + 0.0222891i
\(427\) 21.5546 7.00351i 1.04310 0.338924i
\(428\) −31.7886 23.8207i −1.53656 1.15142i
\(429\) −2.78656 0.283261i −0.134536 0.0136759i
\(430\) −7.70421 5.06998i −0.371530 0.244496i
\(431\) −14.1808 10.3030i −0.683066 0.496277i 0.191307 0.981530i \(-0.438727\pi\)
−0.874374 + 0.485253i \(0.838727\pi\)
\(432\) −0.400770 + 20.7807i −0.0192821 + 0.999814i
\(433\) −4.79900 3.48668i −0.230625 0.167559i 0.466471 0.884536i \(-0.345525\pi\)
−0.697096 + 0.716977i \(0.745525\pi\)
\(434\) −19.8197 + 14.1775i −0.951375 + 0.680541i
\(435\) 4.07221 + 14.9156i 0.195248 + 0.715148i
\(436\) 3.56588 2.51117i 0.170774 0.120263i
\(437\) −3.36108 1.09208i −0.160782 0.0522413i
\(438\) −3.53161 0.385358i −0.168747 0.0184131i
\(439\) 26.7087 8.67819i 1.27474 0.414188i 0.408014 0.912976i \(-0.366221\pi\)
0.866724 + 0.498788i \(0.166221\pi\)
\(440\) −1.20178 1.54899i −0.0572924 0.0738450i
\(441\) −44.4860 9.13864i −2.11838 0.435174i
\(442\) 32.2132 10.2044i 1.53223 0.485374i
\(443\) −24.7910 −1.17785 −0.588927 0.808186i \(-0.700450\pi\)
−0.588927 + 0.808186i \(0.700450\pi\)
\(444\) −10.5917 + 5.95587i −0.502659 + 0.282653i
\(445\) 10.4852 0.563249i 0.497045 0.0267006i
\(446\) 0.134170 18.1741i 0.00635311 0.860571i
\(447\) 1.64497 16.1823i 0.0778044 0.765396i
\(448\) 35.2487 + 13.2055i 1.66534 + 0.623900i
\(449\) 13.0884i 0.617680i −0.951114 0.308840i \(-0.900059\pi\)
0.951114 0.308840i \(-0.0999408\pi\)
\(450\) −18.3493 + 10.6445i −0.864992 + 0.501785i
\(451\) 2.04196i 0.0961521i
\(452\) 16.4511 + 23.3607i 0.773795 + 1.09879i
\(453\) 1.21807 11.9827i 0.0572300 0.562997i
\(454\) 16.2165 + 0.119717i 0.761079 + 0.00561862i
\(455\) 46.0698 + 29.8326i 2.15979 + 1.39857i
\(456\) 2.95942 23.8504i 0.138587 1.11690i
\(457\) −1.73408 −0.0811169 −0.0405585 0.999177i \(-0.512914\pi\)
−0.0405585 + 0.999177i \(0.512914\pi\)
\(458\) 10.5178 + 33.2024i 0.491463 + 1.55145i
\(459\) −19.1098 + 14.1855i −0.891968 + 0.662121i
\(460\) 1.79084 2.67805i 0.0834983 0.124865i
\(461\) −0.287830 + 0.0935215i −0.0134056 + 0.00435573i −0.315712 0.948855i \(-0.602243\pi\)
0.302307 + 0.953211i \(0.402243\pi\)
\(462\) 0.387534 3.55155i 0.0180297 0.165233i
\(463\) −16.0527 5.21583i −0.746031 0.242400i −0.0887587 0.996053i \(-0.528290\pi\)
−0.657273 + 0.753653i \(0.728290\pi\)
\(464\) 9.76342 12.6361i 0.453256 0.586615i
\(465\) −11.8587 + 7.78102i −0.549936 + 0.360836i
\(466\) 11.0506 + 15.4483i 0.511907 + 0.715631i
\(467\) −4.67482 3.39646i −0.216325 0.157169i 0.474346 0.880339i \(-0.342685\pi\)
−0.690671 + 0.723169i \(0.742685\pi\)
\(468\) 28.6945 12.5038i 1.32640 0.577988i
\(469\) 42.0526 + 30.5530i 1.94181 + 1.41081i
\(470\) −0.584776 12.6253i −0.0269737 0.582361i
\(471\) 4.68049 + 0.475783i 0.215666 + 0.0219229i
\(472\) −1.43917 4.78758i −0.0662433 0.220366i
\(473\) 0.859822 0.279373i 0.0395346 0.0128456i
\(474\) −27.4019 + 5.71094i −1.25861 + 0.262312i
\(475\) 22.3821 10.0354i 1.02696 0.460454i
\(476\) 12.7123 + 41.1836i 0.582665 + 1.88765i
\(477\) 3.48879 + 7.69407i 0.159741 + 0.352287i
\(478\) −2.41651 0.0178398i −0.110529 0.000815971i
\(479\) −13.9573 + 10.1406i −0.637724 + 0.463334i −0.859068 0.511862i \(-0.828956\pi\)
0.221344 + 0.975196i \(0.428956\pi\)
\(480\) 20.1904 + 8.50565i 0.921563 + 0.388228i
\(481\) 14.8045 + 10.7561i 0.675025 + 0.490434i
\(482\) −24.8262 18.3188i −1.13080 0.834401i
\(483\) 5.73830 1.24021i 0.261102 0.0564316i
\(484\) −21.8054 0.321972i −0.991156 0.0146351i
\(485\) −5.47324 + 2.10919i −0.248527 + 0.0957735i
\(486\) −16.2392 + 14.9094i −0.736623 + 0.676303i
\(487\) −22.9703 7.46350i −1.04088 0.338204i −0.261799 0.965122i \(-0.584316\pi\)
−0.779085 + 0.626919i \(0.784316\pi\)
\(488\) −10.8420 8.25014i −0.490796 0.373466i
\(489\) −17.1386 7.56058i −0.775036 0.341901i
\(490\) −26.3161 + 39.9893i −1.18884 + 1.80653i
\(491\) −12.9238 + 39.7753i −0.583241 + 1.79503i 0.0229798 + 0.999736i \(0.492685\pi\)
−0.606221 + 0.795296i \(0.707315\pi\)
\(492\) −11.1845 19.8901i −0.504237 0.896715i
\(493\) 18.2848 0.823505
\(494\) −34.5031 + 10.9298i −1.55237 + 0.491755i
\(495\) 0.308572 2.05642i 0.0138693 0.0924291i
\(496\) 13.7921 + 4.93607i 0.619282 + 0.221636i
\(497\) 0.530573 + 0.730272i 0.0237995 + 0.0327572i
\(498\) 9.12803 5.22190i 0.409037 0.233999i
\(499\) 14.8589i 0.665175i −0.943072 0.332587i \(-0.892078\pi\)
0.943072 0.332587i \(-0.107922\pi\)
\(500\) 3.25831 + 22.1220i 0.145716 + 0.989326i
\(501\) −2.23385 1.99759i −0.0998010 0.0892460i
\(502\) −7.51965 + 22.5747i −0.335618 + 1.00756i
\(503\) 4.26853 3.10127i 0.190325 0.138279i −0.488542 0.872540i \(-0.662471\pi\)
0.678867 + 0.734261i \(0.262471\pi\)
\(504\) 15.6782 + 36.7172i 0.698363 + 1.63551i
\(505\) 8.52461 31.9814i 0.379340 1.42315i
\(506\) 0.0953692 + 0.301061i 0.00423968 + 0.0133838i
\(507\) −18.3525 16.4115i −0.815063 0.728861i
\(508\) −2.61800 0.893583i −0.116155 0.0396463i
\(509\) 23.9522 + 7.78254i 1.06166 + 0.344955i 0.787235 0.616653i \(-0.211512\pi\)
0.274427 + 0.961608i \(0.411512\pi\)
\(510\) 6.42846 + 24.2491i 0.284657 + 1.07377i
\(511\) −6.49002 + 2.10874i −0.287102 + 0.0932850i
\(512\) −5.54808 21.9367i −0.245193 0.969474i
\(513\) 20.4682 15.1939i 0.903693 0.670825i
\(514\) −23.9399 7.97441i −1.05594 0.351736i
\(515\) −7.67161 19.9074i −0.338051 0.877225i
\(516\) −6.84503 + 7.43082i −0.301336 + 0.327124i
\(517\) 1.00232 + 0.728224i 0.0440818 + 0.0320273i
\(518\) −13.8586 + 18.7816i −0.608912 + 0.825216i
\(519\) −8.15629 + 1.76281i −0.358021 + 0.0773787i
\(520\) −1.03979 32.9772i −0.0455979 1.44615i
\(521\) 1.74394 + 2.40033i 0.0764036 + 0.105161i 0.845508 0.533962i \(-0.179298\pi\)
−0.769105 + 0.639123i \(0.779298\pi\)
\(522\) 16.8454 1.76113i 0.737304 0.0770825i
\(523\) −18.7258 + 6.08438i −0.818822 + 0.266052i −0.688330 0.725398i \(-0.741656\pi\)
−0.130492 + 0.991449i \(0.541656\pi\)
\(524\) −6.68979 21.6727i −0.292245 0.946777i
\(525\) −23.7517 + 33.1094i −1.03661 + 1.44501i
\(526\) 1.73618 + 1.28110i 0.0757009 + 0.0558584i
\(527\) 5.18330 + 15.9526i 0.225788 + 0.694905i
\(528\) −1.88731 + 1.02489i −0.0821347 + 0.0446025i
\(529\) 18.1875 13.2140i 0.790763 0.574523i
\(530\) 8.89554 0.412022i 0.386398 0.0178971i
\(531\) 2.61980 4.61007i 0.113690 0.200060i
\(532\) −13.6159 44.1111i −0.590325 1.91246i
\(533\) −20.1988 + 27.8013i −0.874907 + 1.20421i
\(534\) 1.24771 11.4346i 0.0539936 0.494824i
\(535\) −42.9137 11.4386i −1.85532 0.494534i
\(536\) 0.691967 31.2393i 0.0298884 1.34933i
\(537\) −30.2811 + 17.6210i −1.30672 + 0.760400i
\(538\) 21.3857 + 29.8966i 0.922004 + 1.28893i
\(539\) −1.45011 4.46297i −0.0624605 0.192234i
\(540\) 8.25801 + 21.7211i 0.355368 + 0.934726i
\(541\) 5.10979 15.7263i 0.219687 0.676127i −0.779101 0.626899i \(-0.784324\pi\)
0.998788 0.0492281i \(-0.0156761\pi\)
\(542\) −3.12029 + 0.988438i −0.134028 + 0.0424571i
\(543\) −27.0366 24.1772i −1.16025 1.03754i
\(544\) 15.9924 20.3849i 0.685668 0.873997i
\(545\) 2.65039 4.09295i 0.113530 0.175323i
\(546\) 40.4077 44.5209i 1.72929 1.90532i
\(547\) 7.26901 + 10.0049i 0.310800 + 0.427780i 0.935631 0.352981i \(-0.114832\pi\)
−0.624830 + 0.780761i \(0.714832\pi\)
\(548\) 17.3557 + 24.6453i 0.741400 + 1.05279i
\(549\) −1.60862 14.3607i −0.0686541 0.612898i
\(550\) −1.89301 1.10500i −0.0807184 0.0471173i
\(551\) −19.5846 −0.834331
\(552\) −2.57797 2.41017i −0.109726 0.102584i
\(553\) −43.4979 + 31.6031i −1.84972 + 1.34390i
\(554\) 11.2695 + 0.0831967i 0.478797 + 0.00353469i
\(555\) −8.49977 + 10.5983i −0.360795 + 0.449873i
\(556\) 11.0819 + 3.78249i 0.469975 + 0.160413i
\(557\) 27.6754i 1.17264i −0.810079 0.586321i \(-0.800576\pi\)
0.810079 0.586321i \(-0.199424\pi\)
\(558\) 6.31177 + 14.1975i 0.267199 + 0.601030i
\(559\) 14.4700 + 4.70158i 0.612015 + 0.198856i
\(560\) 42.0718 1.01572i 1.77786 0.0429220i
\(561\) −2.24995 0.992548i −0.0949929 0.0419054i
\(562\) −6.37491 8.91193i −0.268909 0.375927i
\(563\) 4.82684 14.8555i 0.203427 0.626085i −0.796347 0.604840i \(-0.793237\pi\)
0.999774 0.0212447i \(-0.00676290\pi\)
\(564\) −13.7520 1.60339i −0.579062 0.0675147i
\(565\) 26.8136 + 17.3632i 1.12806 + 0.730475i
\(566\) −1.36353 1.90617i −0.0573133 0.0801222i
\(567\) −16.6937 + 38.9169i −0.701069 + 1.63436i
\(568\) 0.179067 0.512227i 0.00751350 0.0214926i
\(569\) 8.17668 11.2542i 0.342784 0.471802i −0.602468 0.798143i \(-0.705816\pi\)
0.945252 + 0.326341i \(0.105816\pi\)
\(570\) −6.88543 25.9729i −0.288399 1.08789i
\(571\) −16.7956 23.1172i −0.702875 0.967425i −0.999921 0.0125616i \(-0.996001\pi\)
0.297046 0.954863i \(-0.403999\pi\)
\(572\) 2.58819 + 1.93945i 0.108218 + 0.0810926i
\(573\) 6.93991 15.7317i 0.289919 0.657200i
\(574\) −35.2699 26.0251i −1.47214 1.08626i
\(575\) 0.739667 3.52515i 0.0308463 0.147009i
\(576\) 12.7701 20.3206i 0.532086 0.846691i
\(577\) −12.5505 38.6266i −0.522486 1.60805i −0.769235 0.638966i \(-0.779362\pi\)
0.246749 0.969079i \(-0.420638\pi\)
\(578\) 5.62586 + 0.0415326i 0.234005 + 0.00172753i
\(579\) −25.6189 2.60422i −1.06469 0.108228i
\(580\) 4.85245 17.1813i 0.201487 0.713415i
\(581\) 11.8733 16.3422i 0.492588 0.677989i
\(582\) 1.31098 + 6.29026i 0.0543418 + 0.260740i
\(583\) −0.513094 + 0.706213i −0.0212502 + 0.0292483i
\(584\) 3.26451 + 2.48409i 0.135086 + 0.102792i
\(585\) 24.5430 24.9458i 1.01473 1.03138i
\(586\) 8.38161 + 2.79192i 0.346241 + 0.115333i
\(587\) 3.62156 11.1460i 0.149478 0.460045i −0.848082 0.529865i \(-0.822242\pi\)
0.997560 + 0.0698200i \(0.0222425\pi\)
\(588\) 38.5703 + 35.5297i 1.59061 + 1.46522i
\(589\) −5.55176 17.0866i −0.228756 0.704040i
\(590\) −3.49100 4.36498i −0.143722 0.179703i
\(591\) 17.3889 + 29.8824i 0.715285 + 1.22920i
\(592\) 14.0251 + 0.414271i 0.576428 + 0.0170264i
\(593\) 35.0619i 1.43982i −0.694068 0.719910i \(-0.744183\pi\)
0.694068 0.719910i \(-0.255817\pi\)
\(594\) −2.16843 0.697707i −0.0889718 0.0286273i
\(595\) 30.3748 + 37.4096i 1.24524 + 1.53365i
\(596\) −11.2629 + 15.0303i −0.461347 + 0.615665i
\(597\) 0.165743 1.63049i 0.00678340 0.0667313i
\(598\) −1.67960 + 5.04232i −0.0686840 + 0.206196i
\(599\) −10.0333 −0.409948 −0.204974 0.978767i \(-0.565711\pi\)
−0.204974 + 0.978767i \(0.565711\pi\)
\(600\) 24.4917 + 0.394772i 0.999870 + 0.0161165i
\(601\) −30.0077 −1.22404 −0.612020 0.790842i \(-0.709643\pi\)
−0.612020 + 0.790842i \(0.709643\pi\)
\(602\) −6.13305 + 18.4120i −0.249965 + 0.750416i
\(603\) 24.4775 22.3443i 0.996802 0.909930i
\(604\) −8.33999 + 11.1297i −0.339349 + 0.452860i
\(605\) −22.7510 + 8.76743i −0.924960 + 0.356447i
\(606\) −33.0637 14.8784i −1.34312 0.604392i
\(607\) 19.4685i 0.790202i 0.918638 + 0.395101i \(0.129290\pi\)
−0.918638 + 0.395101i \(0.870710\pi\)
\(608\) −17.1292 + 21.8340i −0.694681 + 0.885486i
\(609\) 28.1196 16.3632i 1.13947 0.663070i
\(610\) −14.6889 4.03168i −0.594736 0.163238i
\(611\) 6.44301 + 19.8295i 0.260656 + 0.802217i
\(612\) 27.3526 2.65564i 1.10566 0.107348i
\(613\) 8.59174 26.4427i 0.347017 1.06801i −0.613478 0.789712i \(-0.710230\pi\)
0.960495 0.278297i \(-0.0897700\pi\)
\(614\) −1.86190 0.620200i −0.0751401 0.0250292i
\(615\) −19.9025 15.9617i −0.802547 0.643638i
\(616\) −2.49812 + 3.28294i −0.100652 + 0.132273i
\(617\) 23.5700 32.4413i 0.948893 1.30604i −0.00312402 0.999995i \(-0.500994\pi\)
0.952017 0.306044i \(-0.0990056\pi\)
\(618\) −22.8791 + 4.76832i −0.920332 + 0.191810i
\(619\) 14.1723 19.5066i 0.569635 0.784035i −0.422877 0.906187i \(-0.638980\pi\)
0.992511 + 0.122152i \(0.0389796\pi\)
\(620\) 16.3654 0.636976i 0.657250 0.0255816i
\(621\) −0.0383523 3.74303i −0.00153902 0.150203i
\(622\) −3.87121 0.0285790i −0.155221 0.00114591i
\(623\) −6.82765 21.0133i −0.273544 0.841881i
\(624\) −35.8338 4.71520i −1.43450 0.188759i
\(625\) 12.6130 + 21.5850i 0.504521 + 0.863399i
\(626\) −11.0537 8.15630i −0.441793 0.325991i
\(627\) 2.40989 + 1.06310i 0.0962416 + 0.0424563i
\(628\) −4.34729 3.25763i −0.173476 0.129994i
\(629\) 9.44360 + 12.9980i 0.376541 + 0.518264i
\(630\) 31.5869 + 31.5392i 1.25845 + 1.25655i
\(631\) 22.3581 30.7732i 0.890061 1.22506i −0.0834707 0.996510i \(-0.526601\pi\)
0.973531 0.228553i \(-0.0733995\pi\)
\(632\) 30.5103 + 10.6660i 1.21363 + 0.424270i
\(633\) 43.3827 9.37625i 1.72431 0.372672i
\(634\) 9.90719 + 13.8499i 0.393465 + 0.550052i
\(635\) −3.08836 + 0.165903i −0.122558 + 0.00658365i
\(636\) 1.12972 9.68939i 0.0447961 0.384209i
\(637\) 24.4039 75.1076i 0.966919 2.97587i
\(638\) 1.01820 + 1.42341i 0.0403109 + 0.0563534i
\(639\) 0.524171 0.237679i 0.0207359 0.00940245i
\(640\) −14.9106 20.4370i −0.589395 0.807845i
\(641\) 1.81784 + 0.590654i 0.0718006 + 0.0233294i 0.344697 0.938714i \(-0.387982\pi\)
−0.272896 + 0.962043i \(0.587982\pi\)
\(642\) −19.9643 + 44.3660i −0.787927 + 1.75099i
\(643\) 43.4574i 1.71379i 0.515487 + 0.856897i \(0.327611\pi\)
−0.515487 + 0.856897i \(0.672389\pi\)
\(644\) −6.41559 2.18979i −0.252810 0.0862897i
\(645\) −3.99812 + 10.5643i −0.157426 + 0.415969i
\(646\) −31.7757 0.234582i −1.25020 0.00922952i
\(647\) −1.51173 + 1.09833i −0.0594321 + 0.0431800i −0.617105 0.786881i \(-0.711694\pi\)
0.557673 + 0.830061i \(0.311694\pi\)
\(648\) 24.9436 5.08109i 0.979877 0.199604i
\(649\) 0.547894 0.0215067
\(650\) −14.8428 33.7700i −0.582184 1.32457i
\(651\) 22.2473 + 19.8944i 0.871941 + 0.779723i
\(652\) 12.4541 + 17.6849i 0.487740 + 0.692595i
\(653\) 20.0637 + 27.6153i 0.785152 + 1.08067i 0.994695 + 0.102870i \(0.0328026\pi\)
−0.209542 + 0.977800i \(0.567197\pi\)
\(654\) −3.95534 3.58991i −0.154666 0.140377i
\(655\) −15.9846 19.6867i −0.624572 0.769224i
\(656\) −0.777958 + 26.3377i −0.0303742 + 1.02831i
\(657\) 0.484350 + 4.32395i 0.0188963 + 0.168694i
\(658\) −25.3530 + 8.03124i −0.988361 + 0.313090i
\(659\) −0.883186 + 2.71817i −0.0344040 + 0.105885i −0.966784 0.255595i \(-0.917728\pi\)
0.932380 + 0.361480i \(0.117728\pi\)
\(660\) −1.52974 + 1.85076i −0.0595452 + 0.0720408i
\(661\) 6.22903 + 19.1710i 0.242281 + 0.745665i 0.996072 + 0.0885499i \(0.0282233\pi\)
−0.753791 + 0.657115i \(0.771777\pi\)
\(662\) −9.40062 13.1418i −0.365365 0.510769i
\(663\) −20.8149 35.7697i −0.808382 1.38918i
\(664\) −12.1400 0.268908i −0.471124 0.0104357i
\(665\) −32.5340 40.0689i −1.26161 1.55381i
\(666\) 9.95213 + 11.0652i 0.385637 + 0.428769i
\(667\) −1.69040 + 2.32663i −0.0654524 + 0.0900875i
\(668\) 1.02060 + 3.30641i 0.0394882 + 0.127929i
\(669\) −21.7569 + 4.70230i −0.841172 + 0.181801i
\(670\) −12.3213 32.6902i −0.476012 1.26293i
\(671\) 1.20798 0.877647i 0.0466335 0.0338812i
\(672\) 6.35159 45.6611i 0.245018 1.76141i
\(673\) 3.14623 + 9.68309i 0.121278 + 0.373256i 0.993205 0.116381i \(-0.0371294\pi\)
−0.871927 + 0.489637i \(0.837129\pi\)
\(674\) −33.8615 24.9858i −1.30430 0.962418i
\(675\) 17.6314 + 19.0823i 0.678632 + 0.734478i
\(676\) 8.38488 + 27.1643i 0.322495 + 1.04478i
\(677\) −27.8391 + 9.04548i −1.06994 + 0.347646i −0.790466 0.612506i \(-0.790162\pi\)
−0.279479 + 0.960152i \(0.590162\pi\)
\(678\) 23.5182 25.9121i 0.903210 0.995149i
\(679\) 7.25466 + 9.98518i 0.278408 + 0.383196i
\(680\) 8.07883 27.8183i 0.309809 1.06678i
\(681\) −4.19579 19.4134i −0.160783 0.743923i
\(682\) −0.953220 + 1.29183i −0.0365007 + 0.0494668i
\(683\) −0.669497 0.486418i −0.0256176 0.0186123i 0.574903 0.818222i \(-0.305040\pi\)
−0.600520 + 0.799609i \(0.705040\pi\)
\(684\) −29.2969 + 2.84441i −1.12020 + 0.108759i
\(685\) 28.2881 + 18.3180i 1.08083 + 0.699893i
\(686\) 51.3775 + 17.1139i 1.96160 + 0.653412i
\(687\) 36.8681 21.4540i 1.40661 0.818523i
\(688\) 11.1966 3.27584i 0.426867 0.124890i
\(689\) −13.9715 + 4.53962i −0.532273 + 0.172946i
\(690\) −3.67986 1.42381i −0.140090 0.0542034i
\(691\) 8.31933 + 2.70312i 0.316482 + 0.102831i 0.462951 0.886384i \(-0.346791\pi\)
−0.146468 + 0.989215i \(0.546791\pi\)
\(692\) 9.11897 + 3.11251i 0.346651 + 0.118320i
\(693\) −4.34837 + 0.487084i −0.165181 + 0.0185028i
\(694\) 7.17556 + 22.6517i 0.272381 + 0.859848i
\(695\) 13.0729 0.702258i 0.495883 0.0266382i
\(696\) −17.7145 8.28797i −0.671465 0.314155i
\(697\) −24.4089 + 17.7341i −0.924554 + 0.671728i
\(698\) 8.82032 26.4794i 0.333854 1.00226i
\(699\) 15.5066 17.3406i 0.586513 0.655880i
\(700\) 43.2129 18.6139i 1.63329 0.703538i
\(701\) 9.59764i 0.362498i −0.983437 0.181249i \(-0.941986\pi\)
0.983437 0.181249i \(-0.0580140\pi\)
\(702\) −22.6215 30.9491i −0.853795 1.16810i
\(703\) −10.1149 13.9220i −0.381491 0.525077i
\(704\) 2.47745 + 0.109807i 0.0933722 + 0.00413852i
\(705\) −14.9328 + 4.07691i −0.562401 + 0.153545i
\(706\) −35.8967 + 11.3713i −1.35099 + 0.427963i
\(707\) −69.6450 −2.61927
\(708\) −5.33687 + 3.00100i −0.200572 + 0.112785i
\(709\) 4.34478 13.3719i 0.163172 0.502191i −0.835725 0.549148i \(-0.814952\pi\)
0.998897 + 0.0469570i \(0.0149524\pi\)
\(710\) −0.0280697 0.606023i −0.00105344 0.0227436i
\(711\) 14.1571 + 31.2217i 0.530934 + 1.17091i
\(712\) −8.04297 + 10.5698i −0.301423 + 0.396120i
\(713\) −2.50906 0.815242i −0.0939649 0.0305311i
\(714\) 45.8197 26.2122i 1.71476 0.980968i
\(715\) 3.49398 + 0.931316i 0.130668 + 0.0348292i
\(716\) 40.4504 + 0.597278i 1.51170 + 0.0223213i
\(717\) 0.625238 + 2.89290i 0.0233499 + 0.108037i
\(718\) 27.2269 + 20.0902i 1.01610 + 0.749760i
\(719\) 31.6902 + 23.0243i 1.18184 + 0.858661i 0.992379 0.123227i \(-0.0393242\pi\)
0.189466 + 0.981887i \(0.439324\pi\)
\(720\) 4.76350 26.4066i 0.177525 0.984116i
\(721\) −36.3183 + 26.3868i −1.35257 + 0.982697i
\(722\) 7.16520 + 0.0528967i 0.266661 + 0.00196861i
\(723\) −15.2515 + 34.5727i −0.567210 + 1.28577i
\(724\) 12.3524 + 40.0179i 0.459075 + 1.48725i
\(725\) −2.13835 19.8458i −0.0794165 0.737056i
\(726\) 5.44943 + 26.1472i 0.202247 + 0.970413i
\(727\) −34.1071 + 11.0821i −1.26496 + 0.411011i −0.863260 0.504760i \(-0.831581\pi\)
−0.401701 + 0.915771i \(0.631581\pi\)
\(728\) −66.4862 + 19.9861i −2.46414 + 0.740735i
\(729\) 22.1641 + 15.4193i 0.820891 + 0.571085i
\(730\) 4.42278 + 1.21393i 0.163695 + 0.0449294i
\(731\) 10.8070 + 7.85171i 0.399710 + 0.290406i
\(732\) −6.95936 + 15.1654i −0.257225 + 0.560529i
\(733\) −2.75768 2.00357i −0.101857 0.0740036i 0.535691 0.844414i \(-0.320051\pi\)
−0.637548 + 0.770411i \(0.720051\pi\)
\(734\) −1.20254 1.68111i −0.0443866 0.0620511i
\(735\) 54.8348 + 20.7525i 2.02261 + 0.765469i
\(736\) 1.11540 + 3.91949i 0.0411140 + 0.144474i
\(737\) 3.25693 + 1.05824i 0.119971 + 0.0389809i
\(738\) −20.7794 + 18.6891i −0.764899 + 0.687955i
\(739\) −26.6027 + 8.64375i −0.978597 + 0.317966i −0.754282 0.656551i \(-0.772015\pi\)
−0.224316 + 0.974517i \(0.572015\pi\)
\(740\) 14.7197 5.42426i 0.541109 0.199400i
\(741\) 22.2945 + 38.3124i 0.819009 + 1.40744i
\(742\) −5.65867 17.8632i −0.207736 0.655780i
\(743\) 6.48497 0.237910 0.118955 0.992900i \(-0.462045\pi\)
0.118955 + 0.992900i \(0.462045\pi\)
\(744\) 2.20922 17.8044i 0.0809938 0.652742i
\(745\) −5.40840 + 20.2905i −0.198148 + 0.743385i
\(746\) 27.6655 + 0.204239i 1.01290 + 0.00747771i
\(747\) −8.68331 9.51231i −0.317706 0.348037i
\(748\) 1.63496 + 2.32166i 0.0597802 + 0.0848883i
\(749\) 93.4519i 3.41466i
\(750\) 25.5676 9.81315i 0.933597 0.358326i
\(751\) 46.1074i 1.68248i −0.540659 0.841242i \(-0.681825\pi\)
0.540659 0.841242i \(-0.318175\pi\)
\(752\) 12.6507 + 9.77468i 0.461322 + 0.356446i
\(753\) 28.9923 + 2.94714i 1.05654 + 0.107400i
\(754\) −0.217425 + 29.4516i −0.00791814 + 1.07256i
\(755\) −4.00482 + 15.0247i −0.145750 + 0.546806i
\(756\) 39.6881 28.5620i 1.44344 1.03879i
\(757\) −30.8632 −1.12174 −0.560871 0.827903i \(-0.689534\pi\)
−0.560871 + 0.827903i \(0.689534\pi\)
\(758\) 44.5664 14.1176i 1.61873 0.512776i
\(759\) 0.334299 0.194533i 0.0121343 0.00706111i
\(760\) −8.65312 + 29.7958i −0.313882 + 1.08081i
\(761\) 11.2354 3.65059i 0.407282 0.132334i −0.0982091 0.995166i \(-0.531311\pi\)
0.505491 + 0.862832i \(0.331311\pi\)
\(762\) −0.367507 + 3.36802i −0.0133134 + 0.122010i
\(763\) −9.75821 3.17064i −0.353271 0.114785i
\(764\) −16.2331 + 11.4317i −0.587293 + 0.413584i
\(765\) 27.2617 14.1711i 0.985647 0.512358i
\(766\) 10.4503 7.47535i 0.377585 0.270095i
\(767\) 7.45957 + 5.41970i 0.269350 + 0.195694i
\(768\) −24.7335 + 12.5002i −0.892492 + 0.451063i
\(769\) −10.9639 7.96575i −0.395369 0.287252i 0.372283 0.928119i \(-0.378575\pi\)
−0.767652 + 0.640867i \(0.778575\pi\)
\(770\) −1.22078 + 4.44775i −0.0439939 + 0.160286i
\(771\) −3.12537 + 30.7457i −0.112558 + 1.10728i
\(772\) 23.7952 + 17.8308i 0.856406 + 0.641746i
\(773\) −15.3721 + 4.99469i −0.552895 + 0.179646i −0.572122 0.820169i \(-0.693880\pi\)
0.0192269 + 0.999815i \(0.493880\pi\)