Properties

Label 138.2.f.a.5.5
Level $138$
Weight $2$
Character 138.5
Analytic conductor $1.102$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 138 = 2 \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 138.f (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.10193554789\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(8\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 5.5
Character \(\chi\) \(=\) 138.5
Dual form 138.2.f.a.83.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.281733 - 0.959493i) q^{2} +(-0.863742 - 1.50132i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(0.239432 - 1.66529i) q^{5} +(-1.68385 + 0.405784i) q^{6} +(-0.935173 + 0.427079i) q^{7} +(-0.755750 + 0.654861i) q^{8} +(-1.50790 + 2.59350i) q^{9} +O(q^{10})\) \(q+(0.281733 - 0.959493i) q^{2} +(-0.863742 - 1.50132i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(0.239432 - 1.66529i) q^{5} +(-1.68385 + 0.405784i) q^{6} +(-0.935173 + 0.427079i) q^{7} +(-0.755750 + 0.654861i) q^{8} +(-1.50790 + 2.59350i) q^{9} +(-1.53038 - 0.698899i) q^{10} +(-0.0982102 + 0.0288371i) q^{11} +(-0.0850471 + 1.72996i) q^{12} +(2.01205 - 4.40578i) q^{13} +(0.146311 + 1.01761i) q^{14} +(-2.70693 + 1.07891i) q^{15} +(0.415415 + 0.909632i) q^{16} +(3.64007 - 2.33933i) q^{17} +(2.06362 + 2.17749i) q^{18} +(0.916723 - 1.42645i) q^{19} +(-1.10175 + 1.27148i) q^{20} +(1.44893 + 1.03510i) q^{21} +0.102356i q^{22} +(-0.252958 + 4.78916i) q^{23} +(1.63593 + 0.568989i) q^{24} +(2.08161 + 0.611216i) q^{25} +(-3.66045 - 3.17180i) q^{26} +(5.19610 + 0.0237233i) q^{27} +(1.01761 + 0.146311i) q^{28} +(3.25993 + 5.07256i) q^{29} +(0.272580 + 2.90125i) q^{30} +(-2.77619 - 3.20389i) q^{31} +(0.989821 - 0.142315i) q^{32} +(0.128122 + 0.122537i) q^{33} +(-1.21904 - 4.15168i) q^{34} +(0.487299 + 1.65959i) q^{35} +(2.67068 - 1.36656i) q^{36} +(7.82633 - 1.12526i) q^{37} +(-1.11040 - 1.28147i) q^{38} +(-8.35236 + 0.784728i) q^{39} +(0.909580 + 1.41533i) q^{40} +(-2.19341 - 0.315364i) q^{41} +(1.40139 - 1.09861i) q^{42} +(-4.63477 - 4.01605i) q^{43} +(0.0982102 + 0.0288371i) q^{44} +(3.95788 + 3.13205i) q^{45} +(4.52389 + 1.59197i) q^{46} +7.70215i q^{47} +(1.00683 - 1.40936i) q^{48} +(-3.89187 + 4.49146i) q^{49} +(1.17292 - 1.82509i) q^{50} +(-6.65615 - 3.44431i) q^{51} +(-4.07459 + 2.61858i) q^{52} +(-4.36713 - 9.56268i) q^{53} +(1.48667 - 4.97894i) q^{54} +(0.0245074 + 0.170453i) q^{55} +(0.427079 - 0.935173i) q^{56} +(-2.93336 - 0.144208i) q^{57} +(5.78551 - 1.69878i) q^{58} +(7.37789 + 3.36937i) q^{59} +(2.86052 + 0.555836i) q^{60} +(-8.87756 + 7.69245i) q^{61} +(-3.85625 + 1.76109i) q^{62} +(0.302519 - 3.06936i) q^{63} +(0.142315 - 0.989821i) q^{64} +(-6.85513 - 4.40553i) q^{65} +(0.153669 - 0.0884095i) q^{66} +(-4.14663 + 14.1221i) q^{67} -4.32695 q^{68} +(7.40853 - 3.75682i) q^{69} +1.72965 q^{70} +(2.05377 - 6.99449i) q^{71} +(-0.558785 - 2.94750i) q^{72} +(9.69633 + 6.23145i) q^{73} +(1.12526 - 7.82633i) q^{74} +(-0.880345 - 3.65309i) q^{75} +(-1.54239 + 0.704387i) q^{76} +(0.0795279 - 0.0689113i) q^{77} +(-1.60019 + 8.23511i) q^{78} +(-12.6271 - 5.76662i) q^{79} +(1.61426 - 0.473990i) q^{80} +(-4.45247 - 7.82148i) q^{81} +(-0.920544 + 2.01571i) q^{82} +(-0.779795 - 5.42359i) q^{83} +(-0.659297 - 1.65414i) q^{84} +(-3.02410 - 6.62186i) q^{85} +(-5.15914 + 3.31558i) q^{86} +(4.79977 - 9.27557i) q^{87} +(0.0553380 - 0.0861077i) q^{88} +(-5.91320 + 6.82420i) q^{89} +(4.12025 - 2.91516i) q^{90} +4.97947i q^{91} +(2.80202 - 3.89213i) q^{92} +(-2.41215 + 6.93527i) q^{93} +(7.39016 + 2.16995i) q^{94} +(-2.15595 - 1.86814i) q^{95} +(-1.06861 - 1.36311i) q^{96} +(5.66160 + 0.814016i) q^{97} +(3.21306 + 4.99962i) q^{98} +(0.0733023 - 0.298192i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80 q + 4 q^{3} + 8 q^{4} + 4 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 80 q + 4 q^{3} + 8 q^{4} + 4 q^{6} - 4 q^{12} + 8 q^{13} - 22 q^{15} - 8 q^{16} - 28 q^{18} - 66 q^{21} - 4 q^{24} - 48 q^{25} - 38 q^{27} - 44 q^{30} - 16 q^{31} - 22 q^{33} - 44 q^{37} - 24 q^{39} - 44 q^{43} - 16 q^{46} + 4 q^{48} - 76 q^{49} - 8 q^{52} - 6 q^{54} + 64 q^{55} + 66 q^{57} + 36 q^{58} + 22 q^{60} + 88 q^{61} + 110 q^{63} + 8 q^{64} + 88 q^{66} + 44 q^{67} + 82 q^{69} + 112 q^{70} + 28 q^{72} + 52 q^{73} + 136 q^{75} + 82 q^{78} + 88 q^{79} + 36 q^{81} + 44 q^{82} + 22 q^{84} + 20 q^{85} - 10 q^{87} + 8 q^{93} - 56 q^{94} + 4 q^{96} - 132 q^{97} - 66 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.281733 0.959493i 0.199215 0.678464i
\(3\) −0.863742 1.50132i −0.498681 0.866785i
\(4\) −0.841254 0.540641i −0.420627 0.270320i
\(5\) 0.239432 1.66529i 0.107077 0.744739i −0.863570 0.504230i \(-0.831776\pi\)
0.970647 0.240509i \(-0.0773144\pi\)
\(6\) −1.68385 + 0.405784i −0.687427 + 0.165661i
\(7\) −0.935173 + 0.427079i −0.353462 + 0.161421i −0.584230 0.811588i \(-0.698603\pi\)
0.230768 + 0.973009i \(0.425876\pi\)
\(8\) −0.755750 + 0.654861i −0.267198 + 0.231528i
\(9\) −1.50790 + 2.59350i −0.502634 + 0.864500i
\(10\) −1.53038 0.698899i −0.483947 0.221011i
\(11\) −0.0982102 + 0.0288371i −0.0296115 + 0.00869472i −0.296505 0.955031i \(-0.595821\pi\)
0.266893 + 0.963726i \(0.414003\pi\)
\(12\) −0.0850471 + 1.72996i −0.0245510 + 0.499397i
\(13\) 2.01205 4.40578i 0.558042 1.22194i −0.394881 0.918732i \(-0.629214\pi\)
0.952924 0.303210i \(-0.0980585\pi\)
\(14\) 0.146311 + 1.01761i 0.0391032 + 0.271969i
\(15\) −2.70693 + 1.07891i −0.698926 + 0.278575i
\(16\) 0.415415 + 0.909632i 0.103854 + 0.227408i
\(17\) 3.64007 2.33933i 0.882846 0.567370i −0.0188111 0.999823i \(-0.505988\pi\)
0.901657 + 0.432453i \(0.142352\pi\)
\(18\) 2.06362 + 2.17749i 0.486400 + 0.513240i
\(19\) 0.916723 1.42645i 0.210311 0.327250i −0.720032 0.693941i \(-0.755873\pi\)
0.930343 + 0.366691i \(0.119509\pi\)
\(20\) −1.10175 + 1.27148i −0.246358 + 0.284312i
\(21\) 1.44893 + 1.03510i 0.316182 + 0.225878i
\(22\) 0.102356i 0.0218225i
\(23\) −0.252958 + 4.78916i −0.0527455 + 0.998608i
\(24\) 1.63593 + 0.568989i 0.333932 + 0.116144i
\(25\) 2.08161 + 0.611216i 0.416322 + 0.122243i
\(26\) −3.66045 3.17180i −0.717874 0.622041i
\(27\) 5.19610 + 0.0237233i 0.999990 + 0.00456555i
\(28\) 1.01761 + 0.146311i 0.192311 + 0.0276502i
\(29\) 3.25993 + 5.07256i 0.605355 + 0.941950i 0.999735 + 0.0230031i \(0.00732277\pi\)
−0.394381 + 0.918947i \(0.629041\pi\)
\(30\) 0.272580 + 2.90125i 0.0497662 + 0.529693i
\(31\) −2.77619 3.20389i −0.498618 0.575436i 0.449530 0.893265i \(-0.351592\pi\)
−0.948148 + 0.317829i \(0.897046\pi\)
\(32\) 0.989821 0.142315i 0.174977 0.0251579i
\(33\) 0.128122 + 0.122537i 0.0223032 + 0.0213309i
\(34\) −1.21904 4.15168i −0.209064 0.712008i
\(35\) 0.487299 + 1.65959i 0.0823686 + 0.280522i
\(36\) 2.67068 1.36656i 0.445113 0.227760i
\(37\) 7.82633 1.12526i 1.28664 0.184991i 0.535163 0.844749i \(-0.320250\pi\)
0.751478 + 0.659758i \(0.229341\pi\)
\(38\) −1.11040 1.28147i −0.180130 0.207881i
\(39\) −8.35236 + 0.784728i −1.33745 + 0.125657i
\(40\) 0.909580 + 1.41533i 0.143817 + 0.223784i
\(41\) −2.19341 0.315364i −0.342552 0.0492516i −0.0311082 0.999516i \(-0.509904\pi\)
−0.311444 + 0.950264i \(0.600813\pi\)
\(42\) 1.40139 1.09861i 0.216239 0.169520i
\(43\) −4.63477 4.01605i −0.706796 0.612442i 0.225455 0.974253i \(-0.427613\pi\)
−0.932251 + 0.361811i \(0.882158\pi\)
\(44\) 0.0982102 + 0.0288371i 0.0148058 + 0.00434736i
\(45\) 3.95788 + 3.13205i 0.590006 + 0.466899i
\(46\) 4.52389 + 1.59197i 0.667012 + 0.234724i
\(47\) 7.70215i 1.12347i 0.827316 + 0.561737i \(0.189867\pi\)
−0.827316 + 0.561737i \(0.810133\pi\)
\(48\) 1.00683 1.40936i 0.145324 0.203423i
\(49\) −3.89187 + 4.49146i −0.555982 + 0.641637i
\(50\) 1.17292 1.82509i 0.165875 0.258107i
\(51\) −6.65615 3.44431i −0.932047 0.482300i
\(52\) −4.07459 + 2.61858i −0.565044 + 0.363131i
\(53\) −4.36713 9.56268i −0.599871 1.31353i −0.929290 0.369351i \(-0.879580\pi\)
0.329419 0.944184i \(-0.393147\pi\)
\(54\) 1.48667 4.97894i 0.202310 0.677547i
\(55\) 0.0245074 + 0.170453i 0.00330458 + 0.0229839i
\(56\) 0.427079 0.935173i 0.0570709 0.124968i
\(57\) −2.93336 0.144208i −0.388533 0.0191008i
\(58\) 5.78551 1.69878i 0.759675 0.223061i
\(59\) 7.37789 + 3.36937i 0.960520 + 0.438655i 0.833056 0.553189i \(-0.186589\pi\)
0.127464 + 0.991843i \(0.459316\pi\)
\(60\) 2.86052 + 0.555836i 0.369292 + 0.0717582i
\(61\) −8.87756 + 7.69245i −1.13666 + 0.984918i −0.999984 0.00569884i \(-0.998186\pi\)
−0.136672 + 0.990616i \(0.543641\pi\)
\(62\) −3.85625 + 1.76109i −0.489745 + 0.223659i
\(63\) 0.302519 3.06936i 0.0381138 0.386703i
\(64\) 0.142315 0.989821i 0.0177894 0.123728i
\(65\) −6.85513 4.40553i −0.850275 0.546438i
\(66\) 0.153669 0.0884095i 0.0189154 0.0108825i
\(67\) −4.14663 + 14.1221i −0.506591 + 1.72529i 0.166788 + 0.985993i \(0.446661\pi\)
−0.673379 + 0.739298i \(0.735158\pi\)
\(68\) −4.32695 −0.524720
\(69\) 7.40853 3.75682i 0.891882 0.452268i
\(70\) 1.72965 0.206733
\(71\) 2.05377 6.99449i 0.243737 0.830093i −0.743211 0.669057i \(-0.766698\pi\)
0.986949 0.161036i \(-0.0514836\pi\)
\(72\) −0.558785 2.94750i −0.0658534 0.347366i
\(73\) 9.69633 + 6.23145i 1.13487 + 0.729336i 0.966571 0.256400i \(-0.0825364\pi\)
0.168298 + 0.985736i \(0.446173\pi\)
\(74\) 1.12526 7.82633i 0.130808 0.909793i
\(75\) −0.880345 3.65309i −0.101654 0.421822i
\(76\) −1.54239 + 0.704387i −0.176925 + 0.0807988i
\(77\) 0.0795279 0.0689113i 0.00906304 0.00785317i
\(78\) −1.60019 + 8.23511i −0.181186 + 0.932443i
\(79\) −12.6271 5.76662i −1.42066 0.648795i −0.450840 0.892605i \(-0.648875\pi\)
−0.969823 + 0.243810i \(0.921603\pi\)
\(80\) 1.61426 0.473990i 0.180480 0.0529937i
\(81\) −4.45247 7.82148i −0.494719 0.869053i
\(82\) −0.920544 + 2.01571i −0.101657 + 0.222598i
\(83\) −0.779795 5.42359i −0.0855936 0.595317i −0.986802 0.161931i \(-0.948228\pi\)
0.901209 0.433386i \(-0.142681\pi\)
\(84\) −0.659297 1.65414i −0.0719352 0.180481i
\(85\) −3.02410 6.62186i −0.328010 0.718242i
\(86\) −5.15914 + 3.31558i −0.556324 + 0.357528i
\(87\) 4.79977 9.27557i 0.514590 0.994446i
\(88\) 0.0553380 0.0861077i 0.00589906 0.00917911i
\(89\) −5.91320 + 6.82420i −0.626798 + 0.723363i −0.976983 0.213317i \(-0.931573\pi\)
0.350185 + 0.936681i \(0.386119\pi\)
\(90\) 4.12025 2.91516i 0.434312 0.307284i
\(91\) 4.97947i 0.521990i
\(92\) 2.80202 3.89213i 0.292130 0.405783i
\(93\) −2.41215 + 6.93527i −0.250128 + 0.719154i
\(94\) 7.39016 + 2.16995i 0.762237 + 0.223813i
\(95\) −2.15595 1.86814i −0.221196 0.191668i
\(96\) −1.06861 1.36311i −0.109065 0.139122i
\(97\) 5.66160 + 0.814016i 0.574849 + 0.0826508i 0.423607 0.905846i \(-0.360764\pi\)
0.151242 + 0.988497i \(0.451673\pi\)
\(98\) 3.21306 + 4.99962i 0.324568 + 0.505037i
\(99\) 0.0733023 0.298192i 0.00736715 0.0299694i
\(100\) −1.42071 1.63959i −0.142071 0.163959i
\(101\) 6.05689 0.870849i 0.602683 0.0866527i 0.165782 0.986162i \(-0.446985\pi\)
0.436901 + 0.899510i \(0.356076\pi\)
\(102\) −5.18005 + 5.41615i −0.512901 + 0.536279i
\(103\) −2.78006 9.46801i −0.273927 0.932910i −0.975442 0.220256i \(-0.929311\pi\)
0.701515 0.712655i \(-0.252507\pi\)
\(104\) 1.36456 + 4.64728i 0.133806 + 0.455703i
\(105\) 2.07067 2.16505i 0.202076 0.211287i
\(106\) −10.4057 + 1.49611i −1.01069 + 0.145315i
\(107\) 9.30606 + 10.7398i 0.899651 + 1.03825i 0.999066 + 0.0432068i \(0.0137574\pi\)
−0.0994149 + 0.995046i \(0.531697\pi\)
\(108\) −4.35841 2.82918i −0.419388 0.272238i
\(109\) 3.18167 + 4.95077i 0.304748 + 0.474198i 0.959524 0.281625i \(-0.0908735\pi\)
−0.654776 + 0.755823i \(0.727237\pi\)
\(110\) 0.170453 + 0.0245074i 0.0162520 + 0.00233669i
\(111\) −8.44930 10.7779i −0.801972 1.02299i
\(112\) −0.776970 0.673248i −0.0734168 0.0636160i
\(113\) 7.89619 + 2.31853i 0.742811 + 0.218109i 0.631175 0.775640i \(-0.282573\pi\)
0.111635 + 0.993749i \(0.464391\pi\)
\(114\) −0.964790 + 2.77391i −0.0903609 + 0.259801i
\(115\) 7.91475 + 1.56793i 0.738055 + 0.146210i
\(116\) 6.02976i 0.559849i
\(117\) 8.39240 + 11.8617i 0.775878 + 1.09662i
\(118\) 5.31148 6.12977i 0.488961 0.564292i
\(119\) −2.40501 + 3.74227i −0.220467 + 0.343054i
\(120\) 1.33922 2.58805i 0.122254 0.236256i
\(121\) −9.24498 + 5.94138i −0.840452 + 0.540126i
\(122\) 4.87976 + 10.6852i 0.441792 + 0.967390i
\(123\) 1.42107 + 3.56539i 0.128134 + 0.321480i
\(124\) 0.603323 + 4.19621i 0.0541800 + 0.376830i
\(125\) 5.01075 10.9720i 0.448175 0.981367i
\(126\) −2.85980 1.15500i −0.254772 0.102896i
\(127\) 11.5199 3.38255i 1.02223 0.300153i 0.272681 0.962105i \(-0.412090\pi\)
0.749547 + 0.661952i \(0.230272\pi\)
\(128\) −0.909632 0.415415i −0.0804009 0.0367178i
\(129\) −2.02612 + 10.4271i −0.178390 + 0.918054i
\(130\) −6.15839 + 5.33627i −0.540126 + 0.468022i
\(131\) −0.425028 + 0.194104i −0.0371348 + 0.0169589i −0.433896 0.900963i \(-0.642861\pi\)
0.396761 + 0.917922i \(0.370134\pi\)
\(132\) −0.0415346 0.172352i −0.00361513 0.0150014i
\(133\) −0.248088 + 1.72549i −0.0215120 + 0.149619i
\(134\) 12.3818 + 7.95732i 1.06963 + 0.687407i
\(135\) 1.28362 8.64732i 0.110476 0.744242i
\(136\) −1.21904 + 4.15168i −0.104532 + 0.356004i
\(137\) −9.87770 −0.843909 −0.421955 0.906617i \(-0.638656\pi\)
−0.421955 + 0.906617i \(0.638656\pi\)
\(138\) −1.51742 8.16685i −0.129171 0.695208i
\(139\) 12.4546 1.05639 0.528195 0.849123i \(-0.322869\pi\)
0.528195 + 0.849123i \(0.322869\pi\)
\(140\) 0.487299 1.65959i 0.0411843 0.140261i
\(141\) 11.5634 6.65267i 0.973811 0.560256i
\(142\) −6.13255 3.94115i −0.514632 0.330734i
\(143\) −0.0705540 + 0.490714i −0.00590003 + 0.0410356i
\(144\) −2.98553 0.294257i −0.248794 0.0245214i
\(145\) 9.22780 4.21419i 0.766327 0.349970i
\(146\) 8.71080 7.54795i 0.720911 0.624673i
\(147\) 10.1047 + 1.96347i 0.833420 + 0.161944i
\(148\) −7.19229 3.28461i −0.591203 0.269993i
\(149\) −5.25077 + 1.54176i −0.430160 + 0.126306i −0.489643 0.871923i \(-0.662873\pi\)
0.0594833 + 0.998229i \(0.481055\pi\)
\(150\) −3.75314 0.184509i −0.306442 0.0150651i
\(151\) −1.56471 + 3.42623i −0.127334 + 0.278823i −0.962552 0.271096i \(-0.912614\pi\)
0.835218 + 0.549919i \(0.185341\pi\)
\(152\) 0.241312 + 1.67836i 0.0195730 + 0.136133i
\(153\) 0.578186 + 12.9680i 0.0467436 + 1.04840i
\(154\) −0.0437143 0.0957210i −0.00352260 0.00771342i
\(155\) −6.00011 + 3.85604i −0.481940 + 0.309724i
\(156\) 7.45070 + 3.85547i 0.596534 + 0.308685i
\(157\) −1.08150 + 1.68285i −0.0863131 + 0.134306i −0.881726 0.471763i \(-0.843618\pi\)
0.795412 + 0.606068i \(0.207254\pi\)
\(158\) −9.09050 + 10.4910i −0.723201 + 0.834619i
\(159\) −10.5845 + 14.8161i −0.839408 + 1.17499i
\(160\) 1.68241i 0.133006i
\(161\) −1.80879 4.58672i −0.142553 0.361484i
\(162\) −8.75906 + 2.06855i −0.688177 + 0.162521i
\(163\) 13.4116 + 3.93799i 1.05047 + 0.308447i 0.761009 0.648741i \(-0.224704\pi\)
0.289465 + 0.957188i \(0.406522\pi\)
\(164\) 1.67471 + 1.45115i 0.130773 + 0.113315i
\(165\) 0.234735 0.184021i 0.0182741 0.0143260i
\(166\) −5.42359 0.779795i −0.420952 0.0605238i
\(167\) 6.46981 + 10.0672i 0.500649 + 0.779025i 0.995970 0.0896851i \(-0.0285861\pi\)
−0.495321 + 0.868710i \(0.664950\pi\)
\(168\) −1.77288 + 0.166567i −0.136780 + 0.0128509i
\(169\) −6.84933 7.90455i −0.526871 0.608042i
\(170\) −7.20562 + 1.03601i −0.552646 + 0.0794585i
\(171\) 2.31717 + 4.52846i 0.177198 + 0.346300i
\(172\) 1.72778 + 5.88426i 0.131742 + 0.448671i
\(173\) 0.469675 + 1.59957i 0.0357087 + 0.121613i 0.975419 0.220360i \(-0.0707232\pi\)
−0.939710 + 0.341973i \(0.888905\pi\)
\(174\) −7.54759 7.21858i −0.572182 0.547239i
\(175\) −2.20770 + 0.317420i −0.166887 + 0.0239947i
\(176\) −0.0670292 0.0773558i −0.00505252 0.00583091i
\(177\) −1.31410 13.9868i −0.0987740 1.05131i
\(178\) 4.88183 + 7.59627i 0.365908 + 0.569365i
\(179\) −11.5704 1.66358i −0.864815 0.124342i −0.304391 0.952547i \(-0.598453\pi\)
−0.560424 + 0.828206i \(0.689362\pi\)
\(180\) −1.63626 4.77464i −0.121960 0.355881i
\(181\) −18.9383 16.4101i −1.40767 1.21976i −0.942356 0.334611i \(-0.891395\pi\)
−0.465317 0.885144i \(-0.654060\pi\)
\(182\) 4.77777 + 1.40288i 0.354152 + 0.103988i
\(183\) 19.2167 + 6.68374i 1.42054 + 0.494076i
\(184\) −2.94506 3.78505i −0.217112 0.279038i
\(185\) 13.3025i 0.978020i
\(186\) 5.97476 + 4.26833i 0.438091 + 0.312969i
\(187\) −0.290032 + 0.334715i −0.0212093 + 0.0244768i
\(188\) 4.16410 6.47946i 0.303698 0.472563i
\(189\) −4.86938 + 2.19696i −0.354196 + 0.159805i
\(190\) −2.39987 + 1.54231i −0.174105 + 0.111891i
\(191\) −6.95687 15.2334i −0.503382 1.10225i −0.975355 0.220639i \(-0.929186\pi\)
0.471974 0.881613i \(-0.343542\pi\)
\(192\) −1.60896 + 0.641290i −0.116117 + 0.0462811i
\(193\) −3.01735 20.9861i −0.217193 1.51061i −0.748330 0.663326i \(-0.769144\pi\)
0.531137 0.847286i \(-0.321765\pi\)
\(194\) 2.37610 5.20293i 0.170594 0.373549i
\(195\) −0.693025 + 14.0970i −0.0496285 + 1.00950i
\(196\) 5.70232 1.67435i 0.407308 0.119597i
\(197\) −19.5577 8.93169i −1.39343 0.636357i −0.429632 0.903004i \(-0.641357\pi\)
−0.963794 + 0.266647i \(0.914084\pi\)
\(198\) −0.265461 0.154343i −0.0188655 0.0109687i
\(199\) 0.280888 0.243391i 0.0199116 0.0172535i −0.644848 0.764311i \(-0.723079\pi\)
0.664760 + 0.747057i \(0.268534\pi\)
\(200\) −1.97344 + 0.901239i −0.139543 + 0.0637272i
\(201\) 24.7834 5.97246i 1.74808 0.421265i
\(202\) 0.870849 6.05689i 0.0612727 0.426161i
\(203\) −5.21499 3.35147i −0.366020 0.235227i
\(204\) 3.73737 + 6.49613i 0.261668 + 0.454820i
\(205\) −1.05034 + 3.57714i −0.0733592 + 0.249838i
\(206\) −9.86772 −0.687516
\(207\) −12.0392 7.87762i −0.836785 0.547532i
\(208\) 4.84347 0.335834
\(209\) −0.0488969 + 0.166528i −0.00338227 + 0.0115190i
\(210\) −1.49397 2.59675i −0.103094 0.179193i
\(211\) 6.53129 + 4.19740i 0.449632 + 0.288961i 0.745794 0.666177i \(-0.232070\pi\)
−0.296162 + 0.955138i \(0.595707\pi\)
\(212\) −1.49611 + 10.4057i −0.102753 + 0.714665i
\(213\) −12.2749 + 2.95808i −0.841060 + 0.202684i
\(214\) 12.9266 5.90336i 0.883641 0.403545i
\(215\) −7.79759 + 6.75665i −0.531791 + 0.460800i
\(216\) −3.94248 + 3.38479i −0.268252 + 0.230306i
\(217\) 3.96453 + 1.81054i 0.269130 + 0.122908i
\(218\) 5.64661 1.65799i 0.382436 0.112293i
\(219\) 0.980257 19.9396i 0.0662396 1.34739i
\(220\) 0.0715368 0.156644i 0.00482301 0.0105609i
\(221\) −2.98256 20.7442i −0.200629 1.39540i
\(222\) −12.7217 + 5.07056i −0.853827 + 0.340314i
\(223\) −6.79607 14.8813i −0.455099 0.996527i −0.988577 0.150714i \(-0.951843\pi\)
0.533479 0.845814i \(-0.320884\pi\)
\(224\) −0.864875 + 0.555821i −0.0577869 + 0.0371374i
\(225\) −4.72405 + 4.47700i −0.314937 + 0.298467i
\(226\) 4.44922 6.92313i 0.295958 0.460520i
\(227\) 6.29072 7.25988i 0.417530 0.481855i −0.507553 0.861621i \(-0.669450\pi\)
0.925083 + 0.379765i \(0.123995\pi\)
\(228\) 2.38974 + 1.70721i 0.158264 + 0.113063i
\(229\) 14.2379i 0.940870i 0.882435 + 0.470435i \(0.155903\pi\)
−0.882435 + 0.470435i \(0.844097\pi\)
\(230\) 3.73426 7.15241i 0.246230 0.471616i
\(231\) −0.172149 0.0598749i −0.0113266 0.00393948i
\(232\) −5.78551 1.69878i −0.379838 0.111530i
\(233\) 3.26410 + 2.82836i 0.213839 + 0.185292i 0.755193 0.655502i \(-0.227543\pi\)
−0.541355 + 0.840794i \(0.682088\pi\)
\(234\) 13.7457 4.71062i 0.898582 0.307943i
\(235\) 12.8263 + 1.84414i 0.836695 + 0.120299i
\(236\) −4.38506 6.82328i −0.285443 0.444158i
\(237\) 2.24906 + 23.9382i 0.146092 + 1.55495i
\(238\) 2.91311 + 3.36191i 0.188829 + 0.217920i
\(239\) 13.7002 1.96980i 0.886195 0.127416i 0.315839 0.948813i \(-0.397714\pi\)
0.570357 + 0.821397i \(0.306805\pi\)
\(240\) −2.10591 2.01411i −0.135936 0.130010i
\(241\) −3.31655 11.2951i −0.213638 0.727584i −0.994672 0.103095i \(-0.967125\pi\)
0.781034 0.624489i \(-0.214693\pi\)
\(242\) 3.09611 + 10.5444i 0.199025 + 0.677818i
\(243\) −7.89673 + 13.4403i −0.506575 + 0.862196i
\(244\) 11.6271 1.67173i 0.744351 0.107022i
\(245\) 6.54773 + 7.55649i 0.418319 + 0.482766i
\(246\) 3.82133 0.359025i 0.243639 0.0228906i
\(247\) −4.44012 6.90896i −0.282518 0.439607i
\(248\) 4.19621 + 0.603323i 0.266459 + 0.0383111i
\(249\) −7.46899 + 5.85530i −0.473328 + 0.371065i
\(250\) −9.11588 7.89895i −0.576539 0.499574i
\(251\) 5.86387 + 1.72179i 0.370124 + 0.108678i 0.461505 0.887138i \(-0.347310\pi\)
−0.0913804 + 0.995816i \(0.529128\pi\)
\(252\) −1.91392 + 2.41856i −0.120566 + 0.152355i
\(253\) −0.113262 0.477639i −0.00712075 0.0300289i
\(254\) 12.0063i 0.753339i
\(255\) −7.32947 + 10.2597i −0.458989 + 0.642488i
\(256\) −0.654861 + 0.755750i −0.0409288 + 0.0472343i
\(257\) −11.0714 + 17.2274i −0.690614 + 1.07462i 0.302000 + 0.953308i \(0.402346\pi\)
−0.992615 + 0.121309i \(0.961291\pi\)
\(258\) 9.43389 + 4.88170i 0.587329 + 0.303921i
\(259\) −6.83840 + 4.39478i −0.424918 + 0.273078i
\(260\) 3.38510 + 7.41233i 0.209935 + 0.459693i
\(261\) −18.0713 + 0.805723i −1.11859 + 0.0498730i
\(262\) 0.0664969 + 0.462496i 0.00410819 + 0.0285731i
\(263\) −8.96471 + 19.6300i −0.552788 + 1.21044i 0.402680 + 0.915341i \(0.368079\pi\)
−0.955468 + 0.295096i \(0.904648\pi\)
\(264\) −0.177073 0.00870512i −0.0108981 0.000535763i
\(265\) −16.9702 + 4.98291i −1.04247 + 0.306098i
\(266\) 1.58570 + 0.724165i 0.0972256 + 0.0444014i
\(267\) 15.3528 + 2.98324i 0.939573 + 0.182571i
\(268\) 11.1234 9.63844i 0.679467 0.588761i
\(269\) 23.9682 10.9459i 1.46137 0.667384i 0.483258 0.875478i \(-0.339453\pi\)
0.978109 + 0.208094i \(0.0667261\pi\)
\(270\) −7.93540 3.66785i −0.482933 0.223218i
\(271\) −2.20066 + 15.3059i −0.133680 + 0.929768i 0.807019 + 0.590526i \(0.201080\pi\)
−0.940699 + 0.339242i \(0.889829\pi\)
\(272\) 3.64007 + 2.33933i 0.220711 + 0.141843i
\(273\) 7.47576 4.30097i 0.452453 0.260307i
\(274\) −2.78287 + 9.47759i −0.168119 + 0.572562i
\(275\) −0.222061 −0.0133908
\(276\) −8.26354 0.844912i −0.497407 0.0508577i
\(277\) −10.5440 −0.633527 −0.316763 0.948505i \(-0.602596\pi\)
−0.316763 + 0.948505i \(0.602596\pi\)
\(278\) 3.50888 11.9501i 0.210449 0.716722i
\(279\) 12.4955 2.36889i 0.748086 0.141822i
\(280\) −1.45508 0.935120i −0.0869574 0.0558841i
\(281\) −4.64648 + 32.3170i −0.277186 + 1.92787i 0.0862990 + 0.996269i \(0.472496\pi\)
−0.363485 + 0.931600i \(0.618413\pi\)
\(282\) −3.12541 12.9692i −0.186116 0.772307i
\(283\) −4.25254 + 1.94207i −0.252787 + 0.115444i −0.537779 0.843086i \(-0.680736\pi\)
0.284992 + 0.958530i \(0.408009\pi\)
\(284\) −5.50924 + 4.77379i −0.326913 + 0.283272i
\(285\) −0.942489 + 4.85036i −0.0558282 + 0.287311i
\(286\) 0.450959 + 0.205946i 0.0266658 + 0.0121779i
\(287\) 2.18590 0.641838i 0.129030 0.0378865i
\(288\) −1.12346 + 2.78170i −0.0662005 + 0.163913i
\(289\) 0.715565 1.56687i 0.0420921 0.0921688i
\(290\) −1.44372 10.0413i −0.0847781 0.589644i
\(291\) −3.66807 9.20296i −0.215026 0.539487i
\(292\) −4.78809 10.4845i −0.280202 0.613557i
\(293\) −1.86542 + 1.19883i −0.108979 + 0.0700364i −0.593995 0.804469i \(-0.702450\pi\)
0.485016 + 0.874505i \(0.338814\pi\)
\(294\) 4.73075 9.14219i 0.275903 0.533183i
\(295\) 7.37747 11.4796i 0.429533 0.668367i
\(296\) −5.17786 + 5.97557i −0.300957 + 0.347323i
\(297\) −0.510994 + 0.147511i −0.0296509 + 0.00855944i
\(298\) 5.47244i 0.317010i
\(299\) 20.5910 + 10.7505i 1.19081 + 0.621718i
\(300\) −1.23442 + 3.54913i −0.0712690 + 0.204909i
\(301\) 6.04949 + 1.77629i 0.348687 + 0.102384i
\(302\) 2.84662 + 2.46661i 0.163804 + 0.141937i
\(303\) −6.53900 8.34111i −0.375656 0.479184i
\(304\) 1.67836 + 0.241312i 0.0962608 + 0.0138402i
\(305\) 10.6846 + 16.6255i 0.611797 + 0.951974i
\(306\) 12.6056 + 3.09874i 0.720613 + 0.177143i
\(307\) 9.59763 + 11.0763i 0.547765 + 0.632155i 0.960361 0.278759i \(-0.0899232\pi\)
−0.412596 + 0.910914i \(0.635378\pi\)
\(308\) −0.104159 + 0.0149759i −0.00593503 + 0.000853328i
\(309\) −11.8132 + 12.3517i −0.672031 + 0.702661i
\(310\) 2.00941 + 6.84343i 0.114127 + 0.388681i
\(311\) −3.02751 10.3107i −0.171674 0.584669i −0.999712 0.0239966i \(-0.992361\pi\)
0.828038 0.560672i \(-0.189457\pi\)
\(312\) 5.79840 6.06269i 0.328270 0.343232i
\(313\) −2.87718 + 0.413675i −0.162628 + 0.0233823i −0.223148 0.974785i \(-0.571633\pi\)
0.0605200 + 0.998167i \(0.480724\pi\)
\(314\) 1.30999 + 1.51180i 0.0739268 + 0.0853161i
\(315\) −5.03894 1.23869i −0.283912 0.0697920i
\(316\) 7.50495 + 11.6779i 0.422186 + 0.656935i
\(317\) −24.0748 3.46143i −1.35217 0.194413i −0.572142 0.820154i \(-0.693887\pi\)
−0.780031 + 0.625741i \(0.784797\pi\)
\(318\) 11.2340 + 14.3300i 0.629969 + 0.803585i
\(319\) −0.466437 0.404170i −0.0261155 0.0226292i
\(320\) −1.61426 0.473990i −0.0902400 0.0264969i
\(321\) 8.08576 23.2477i 0.451303 1.29756i
\(322\) −4.91052 + 0.443291i −0.273653 + 0.0247037i
\(323\) 7.33688i 0.408235i
\(324\) −0.482954 + 8.98703i −0.0268308 + 0.499280i
\(325\) 6.88119 7.94132i 0.381700 0.440505i
\(326\) 7.55695 11.7588i 0.418541 0.651262i
\(327\) 4.68453 9.05287i 0.259055 0.500625i
\(328\) 1.86419 1.19804i 0.102932 0.0661506i
\(329\) −3.28943 7.20284i −0.181352 0.397106i
\(330\) −0.110434 0.277072i −0.00607918 0.0152523i
\(331\) 4.43045 + 30.8145i 0.243520 + 1.69372i 0.634184 + 0.773182i \(0.281336\pi\)
−0.390664 + 0.920533i \(0.627755\pi\)
\(332\) −2.27621 + 4.98421i −0.124923 + 0.273544i
\(333\) −8.88298 + 21.9944i −0.486784 + 1.20528i
\(334\) 11.4822 3.37147i 0.628277 0.184479i
\(335\) 22.5245 + 10.2866i 1.23065 + 0.562018i
\(336\) −0.339657 + 1.74799i −0.0185298 + 0.0953607i
\(337\) 8.30491 7.19625i 0.452397 0.392005i −0.398642 0.917107i \(-0.630518\pi\)
0.851039 + 0.525102i \(0.175973\pi\)
\(338\) −9.51404 + 4.34491i −0.517495 + 0.236332i
\(339\) −3.33942 13.8573i −0.181372 0.752624i
\(340\) −1.03601 + 7.20562i −0.0561856 + 0.390780i
\(341\) 0.365041 + 0.234598i 0.0197681 + 0.0127042i
\(342\) 4.99785 0.947489i 0.270253 0.0512343i
\(343\) 3.74887 12.7675i 0.202420 0.689379i
\(344\) 6.13268 0.330652
\(345\) −4.48235 13.2368i −0.241322 0.712647i
\(346\) 1.66710 0.0896236
\(347\) 9.14891 31.1583i 0.491139 1.67267i −0.224721 0.974423i \(-0.572147\pi\)
0.715860 0.698244i \(-0.246035\pi\)
\(348\) −9.05258 + 5.20816i −0.485269 + 0.279186i
\(349\) 1.33425 + 0.857468i 0.0714206 + 0.0458992i 0.575864 0.817546i \(-0.304666\pi\)
−0.504443 + 0.863445i \(0.668302\pi\)
\(350\) −0.317420 + 2.20770i −0.0169668 + 0.118007i
\(351\) 10.5593 22.8451i 0.563615 1.21938i
\(352\) −0.0931067 + 0.0425204i −0.00496260 + 0.00226634i
\(353\) −6.14635 + 5.32584i −0.327137 + 0.283466i −0.802908 0.596103i \(-0.796715\pi\)
0.475770 + 0.879570i \(0.342169\pi\)
\(354\) −13.7905 2.67967i −0.732956 0.142423i
\(355\) −11.1561 5.09482i −0.592104 0.270405i
\(356\) 8.66394 2.54396i 0.459188 0.134830i
\(357\) 7.69565 + 0.378328i 0.407297 + 0.0200232i
\(358\) −4.85596 + 10.6331i −0.256646 + 0.561975i
\(359\) 0.984961 + 6.85055i 0.0519842 + 0.361558i 0.999165 + 0.0408580i \(0.0130091\pi\)
−0.947181 + 0.320700i \(0.896082\pi\)
\(360\) −5.04223 + 0.224811i −0.265749 + 0.0118486i
\(361\) 6.69851 + 14.6677i 0.352553 + 0.771984i
\(362\) −21.0809 + 13.5479i −1.10799 + 0.712062i
\(363\) 16.9052 + 8.74781i 0.887291 + 0.459141i
\(364\) 2.69210 4.18900i 0.141105 0.219563i
\(365\) 12.6988 14.6552i 0.664684 0.767086i
\(366\) 11.8270 16.5553i 0.618206 0.865359i
\(367\) 4.70919i 0.245818i −0.992418 0.122909i \(-0.960778\pi\)
0.992418 0.122909i \(-0.0392223\pi\)
\(368\) −4.46145 + 1.75939i −0.232569 + 0.0917144i
\(369\) 4.12534 5.21306i 0.214756 0.271381i
\(370\) −12.7637 3.74775i −0.663552 0.194836i
\(371\) 8.16804 + 7.07765i 0.424064 + 0.367453i
\(372\) 5.77872 4.53022i 0.299613 0.234881i
\(373\) 8.83662 + 1.27051i 0.457543 + 0.0657847i 0.367233 0.930129i \(-0.380305\pi\)
0.0903099 + 0.995914i \(0.471214\pi\)
\(374\) 0.239445 + 0.372584i 0.0123814 + 0.0192659i
\(375\) −20.8005 + 1.95426i −1.07413 + 0.100918i
\(376\) −5.04383 5.82090i −0.260116 0.300190i
\(377\) 28.9077 4.15630i 1.48882 0.214060i
\(378\) 0.736104 + 5.29109i 0.0378611 + 0.272145i
\(379\) −5.62273 19.1493i −0.288820 0.983631i −0.968269 0.249909i \(-0.919599\pi\)
0.679449 0.733722i \(-0.262219\pi\)
\(380\) 0.803709 + 2.73718i 0.0412294 + 0.140414i
\(381\) −15.0285 14.3734i −0.769934 0.736371i
\(382\) −16.5763 + 2.38332i −0.848119 + 0.121941i
\(383\) −22.0312 25.4253i −1.12574 1.29917i −0.949127 0.314894i \(-0.898031\pi\)
−0.176614 0.984280i \(-0.556514\pi\)
\(384\) 0.162018 + 1.72446i 0.00826793 + 0.0880008i
\(385\) −0.0957155 0.148936i −0.00487812 0.00759050i
\(386\) −20.9861 3.01735i −1.06816 0.153579i
\(387\) 17.4044 5.96446i 0.884715 0.303191i
\(388\) −4.32275 3.74569i −0.219455 0.190158i
\(389\) −26.9591 7.91591i −1.36688 0.401353i −0.485698 0.874127i \(-0.661435\pi\)
−0.881184 + 0.472774i \(0.843253\pi\)
\(390\) 13.3307 + 4.63652i 0.675026 + 0.234780i
\(391\) 10.2826 + 18.0246i 0.520014 + 0.911543i
\(392\) 5.94305i 0.300170i
\(393\) 0.658525 + 0.470445i 0.0332182 + 0.0237308i
\(394\) −14.0799 + 16.2491i −0.709336 + 0.818618i
\(395\) −12.6264 + 19.6471i −0.635304 + 0.988552i
\(396\) −0.222880 + 0.211225i −0.0112002 + 0.0106144i
\(397\) −9.40607 + 6.04491i −0.472077 + 0.303385i −0.754962 0.655768i \(-0.772345\pi\)
0.282885 + 0.959154i \(0.408708\pi\)
\(398\) −0.154396 0.338081i −0.00773920 0.0169465i
\(399\) 2.80479 1.11792i 0.140415 0.0559660i
\(400\) 0.308751 + 2.14741i 0.0154375 + 0.107370i
\(401\) 2.81245 6.15841i 0.140447 0.307536i −0.826317 0.563205i \(-0.809568\pi\)
0.966765 + 0.255668i \(0.0822955\pi\)
\(402\) 1.25175 25.4621i 0.0624316 1.26993i
\(403\) −19.7015 + 5.78487i −0.981400 + 0.288165i
\(404\) −5.56619 2.54200i −0.276928 0.126469i
\(405\) −14.0911 + 5.54193i −0.700191 + 0.275381i
\(406\) −4.68494 + 4.05953i −0.232510 + 0.201471i
\(407\) −0.736177 + 0.336201i −0.0364909 + 0.0166649i
\(408\) 7.28593 1.75581i 0.360707 0.0869256i
\(409\) −1.18146 + 8.21722i −0.0584193 + 0.406315i 0.939539 + 0.342443i \(0.111254\pi\)
−0.997958 + 0.0638728i \(0.979655\pi\)
\(410\) 3.13633 + 2.01559i 0.154892 + 0.0995431i
\(411\) 8.53178 + 14.8296i 0.420842 + 0.731488i
\(412\) −2.78006 + 9.46801i −0.136964 + 0.466455i
\(413\) −8.33860 −0.410315
\(414\) −10.9504 + 9.33218i −0.538181 + 0.458651i
\(415\) −9.21855 −0.452521
\(416\) 1.36456 4.64728i 0.0669032 0.227851i
\(417\) −10.7576 18.6984i −0.526802 0.915663i
\(418\) 0.146006 + 0.0938325i 0.00714139 + 0.00458950i
\(419\) −0.368763 + 2.56481i −0.0180153 + 0.125299i −0.996844 0.0793800i \(-0.974706\pi\)
0.978829 + 0.204679i \(0.0656150\pi\)
\(420\) −2.91247 + 0.701866i −0.142114 + 0.0342475i
\(421\) 4.79936 2.19179i 0.233907 0.106822i −0.295014 0.955493i \(-0.595324\pi\)
0.528920 + 0.848671i \(0.322597\pi\)
\(422\) 5.86745 5.08418i 0.285623 0.247494i
\(423\) −19.9755 11.6141i −0.971243 0.564696i
\(424\) 9.56268 + 4.36713i 0.464405 + 0.212086i
\(425\) 9.00704 2.64470i 0.436905 0.128287i
\(426\) −0.619975 + 12.6110i −0.0300379 + 0.611006i
\(427\) 5.01677 10.9852i 0.242779 0.531611i
\(428\) −2.02240 14.0661i −0.0977564 0.679911i
\(429\) 0.797658 0.317926i 0.0385113 0.0153496i
\(430\) 4.28613 + 9.38531i 0.206695 + 0.452600i
\(431\) −9.99945 + 6.42626i −0.481656 + 0.309542i −0.758842 0.651275i \(-0.774235\pi\)
0.277186 + 0.960816i \(0.410598\pi\)
\(432\) 2.13696 + 4.73639i 0.102814 + 0.227880i
\(433\) −16.4326 + 25.5697i −0.789701 + 1.22880i 0.179797 + 0.983704i \(0.442456\pi\)
−0.969499 + 0.245096i \(0.921181\pi\)
\(434\) 2.85414 3.29385i 0.137003 0.158110i
\(435\) −14.2973 10.2139i −0.685502 0.489717i
\(436\) 5.88499i 0.281840i
\(437\) 6.59959 + 4.75116i 0.315701 + 0.227279i
\(438\) −18.8557 6.55819i −0.900963 0.313362i
\(439\) −9.58092 2.81321i −0.457272 0.134267i 0.0449808 0.998988i \(-0.485677\pi\)
−0.502253 + 0.864721i \(0.667496\pi\)
\(440\) −0.130144 0.112771i −0.00620439 0.00537613i
\(441\) −5.78004 16.8662i −0.275240 0.803154i
\(442\) −20.7442 2.98256i −0.986699 0.141866i
\(443\) 7.42289 + 11.5502i 0.352672 + 0.548769i 0.971585 0.236691i \(-0.0760629\pi\)
−0.618913 + 0.785460i \(0.712427\pi\)
\(444\) 1.28104 + 13.6350i 0.0607957 + 0.647086i
\(445\) 9.94844 + 11.4811i 0.471601 + 0.544257i
\(446\) −16.1932 + 2.32823i −0.766770 + 0.110245i
\(447\) 6.84998 + 6.55138i 0.323993 + 0.309869i
\(448\) 0.289643 + 0.986434i 0.0136844 + 0.0466046i
\(449\) 0.790513 + 2.69224i 0.0373066 + 0.127055i 0.976041 0.217587i \(-0.0698186\pi\)
−0.938734 + 0.344642i \(0.888000\pi\)
\(450\) 2.96473 + 5.79401i 0.139759 + 0.273132i
\(451\) 0.224509 0.0322795i 0.0105717 0.00151998i
\(452\) −5.38920 6.21947i −0.253487 0.292539i
\(453\) 6.49536 0.610258i 0.305179 0.0286724i
\(454\) −5.19350 8.08125i −0.243743 0.379272i
\(455\) 8.29225 + 1.19225i 0.388747 + 0.0558933i
\(456\) 2.31132 1.81196i 0.108238 0.0848527i
\(457\) 30.6167 + 26.5295i 1.43219 + 1.24100i 0.925434 + 0.378908i \(0.123700\pi\)
0.506754 + 0.862091i \(0.330845\pi\)
\(458\) 13.6612 + 4.01129i 0.638346 + 0.187435i
\(459\) 18.9696 12.0690i 0.885427 0.563334i
\(460\) −5.81063 5.59806i −0.270922 0.261011i
\(461\) 5.60337i 0.260975i 0.991450 + 0.130487i \(0.0416542\pi\)
−0.991450 + 0.130487i \(0.958346\pi\)
\(462\) −0.105950 + 0.148307i −0.00492922 + 0.00689987i
\(463\) −9.18037 + 10.5947i −0.426648 + 0.492378i −0.927851 0.372952i \(-0.878346\pi\)
0.501203 + 0.865330i \(0.332891\pi\)
\(464\) −3.25993 + 5.07256i −0.151339 + 0.235488i
\(465\) 10.9717 + 5.67744i 0.508799 + 0.263285i
\(466\) 3.63340 2.33504i 0.168314 0.108169i
\(467\) −16.5185 36.1704i −0.764383 1.67376i −0.738644 0.674096i \(-0.764533\pi\)
−0.0257390 0.999669i \(-0.508194\pi\)
\(468\) −0.647206 14.5160i −0.0299171 0.671002i
\(469\) −2.15345 14.9776i −0.0994370 0.691599i
\(470\) 5.38302 11.7872i 0.248300 0.543702i
\(471\) 3.46062 + 0.170129i 0.159457 + 0.00783911i
\(472\) −7.78231 + 2.28509i −0.358210 + 0.105180i
\(473\) 0.570993 + 0.260764i 0.0262543 + 0.0119899i
\(474\) 23.6022 + 4.58621i 1.08408 + 0.210651i
\(475\) 2.78013 2.40900i 0.127561 0.110532i
\(476\) 4.04645 1.84795i 0.185469 0.0847008i
\(477\) 31.3860 + 3.09343i 1.43707 + 0.141638i
\(478\) 1.96980 13.7002i 0.0900965 0.626635i
\(479\) 7.70739 + 4.95324i 0.352160 + 0.226319i 0.704746 0.709460i \(-0.251061\pi\)
−0.352586 + 0.935780i \(0.614698\pi\)
\(480\) −2.52583 + 1.45317i −0.115288 + 0.0663278i
\(481\) 10.7893 36.7452i 0.491952 1.67543i
\(482\) −11.7720 −0.536199
\(483\) −5.32380 + 6.67731i −0.242241 + 0.303828i
\(484\) 10.9895 0.499524
\(485\) 2.71114 9.23329i 0.123106 0.419262i
\(486\) 10.6711 + 11.3634i 0.484051 + 0.515455i
\(487\) 16.3164 + 10.4859i 0.739367 + 0.475162i 0.855325 0.518092i \(-0.173357\pi\)
−0.115958 + 0.993254i \(0.536994\pi\)
\(488\) 1.67173 11.6271i 0.0756756 0.526336i
\(489\) −5.67196 23.5364i −0.256495 1.06435i
\(490\) 9.09510 4.15360i 0.410875 0.187640i
\(491\) −7.82690 + 6.78204i −0.353223 + 0.306069i −0.813340 0.581789i \(-0.802353\pi\)
0.460117 + 0.887858i \(0.347807\pi\)
\(492\) 0.732111 3.76769i 0.0330061 0.169860i
\(493\) 23.7328 + 10.8384i 1.06887 + 0.488136i
\(494\) −7.88003 + 2.31379i −0.354539 + 0.104102i
\(495\) −0.479024 0.193466i −0.0215305 0.00869565i
\(496\) 1.76109 3.85625i 0.0790754 0.173151i
\(497\) 1.06657 + 7.41818i 0.0478423 + 0.332751i
\(498\) 3.51386 + 8.81607i 0.157460 + 0.395057i
\(499\) 7.88426 + 17.2641i 0.352948 + 0.772848i 0.999946 + 0.0103568i \(0.00329674\pi\)
−0.646998 + 0.762491i \(0.723976\pi\)
\(500\) −10.1472 + 6.52123i −0.453798 + 0.291638i
\(501\) 9.52583 18.4087i 0.425583 0.822440i
\(502\) 3.30409 5.14126i 0.147469 0.229466i
\(503\) −11.8379 + 13.6617i −0.527825 + 0.609143i −0.955573 0.294755i \(-0.904762\pi\)
0.427747 + 0.903898i \(0.359307\pi\)
\(504\) 1.78138 + 2.51778i 0.0793488 + 0.112151i
\(505\) 10.2950i 0.458120i
\(506\) −0.490201 0.0258919i −0.0217921 0.00115104i
\(507\) −5.95117 + 17.1105i −0.264301 + 0.759904i
\(508\) −11.5199 3.38255i −0.511114 0.150076i
\(509\) 17.5241 + 15.1847i 0.776742 + 0.673051i 0.950148 0.311800i \(-0.100932\pi\)
−0.173406 + 0.984850i \(0.555477\pi\)
\(510\) 7.77918 + 9.92307i 0.344468 + 0.439401i
\(511\) −11.7291 1.68639i −0.518863 0.0746013i
\(512\) 0.540641 + 0.841254i 0.0238932 + 0.0371785i
\(513\) 4.79722 7.39022i 0.211803 0.326286i
\(514\) 13.4104 + 15.4764i 0.591508 + 0.682637i
\(515\) −16.4326 + 2.36265i −0.724106 + 0.104111i
\(516\) 7.34179 7.67642i 0.323204 0.337936i
\(517\) −0.222108 0.756430i −0.00976829 0.0332677i
\(518\) 2.29015 + 7.79955i 0.100624 + 0.342693i
\(519\) 1.99578 2.08674i 0.0876049 0.0915978i
\(520\) 8.06577 1.15968i 0.353707 0.0508555i
\(521\) 28.3772 + 32.7490i 1.24323 + 1.43476i 0.859361 + 0.511370i \(0.170862\pi\)
0.383865 + 0.923389i \(0.374593\pi\)
\(522\) −4.31820 + 17.5663i −0.189002 + 0.768857i
\(523\) −16.6607 25.9245i −0.728521 1.13360i −0.985907 0.167292i \(-0.946498\pi\)
0.257387 0.966309i \(-0.417139\pi\)
\(524\) 0.462496 + 0.0664969i 0.0202042 + 0.00290493i
\(525\) 2.38343 + 3.04029i 0.104022 + 0.132689i
\(526\) 16.3092 + 14.1320i 0.711114 + 0.616184i
\(527\) −17.6005 5.16796i −0.766688 0.225120i
\(528\) −0.0582396 + 0.167447i −0.00253455 + 0.00728721i
\(529\) −22.8720 2.42291i −0.994436 0.105344i
\(530\) 17.6867i 0.768260i
\(531\) −19.8636 + 14.0539i −0.862006 + 0.609886i
\(532\) 1.14158 1.31745i 0.0494936 0.0571186i
\(533\) −5.80267 + 9.02913i −0.251341 + 0.391095i
\(534\) 7.18777 13.8904i 0.311045 0.601096i
\(535\) 20.1130 12.9258i 0.869560 0.558832i
\(536\) −6.11421 13.3882i −0.264093 0.578284i
\(537\) 7.49631 + 18.8078i 0.323490 + 0.811616i
\(538\) −3.74990 26.0811i −0.161670 1.12444i
\(539\) 0.252701 0.553338i 0.0108846 0.0238340i
\(540\) −5.75494 + 6.58061i −0.247653 + 0.283184i
\(541\) −7.97010 + 2.34023i −0.342661 + 0.100614i −0.448535 0.893765i \(-0.648054\pi\)
0.105874 + 0.994380i \(0.466236\pi\)
\(542\) 14.0659 + 6.42369i 0.604183 + 0.275921i
\(543\) −8.27900 + 42.6065i −0.355286 + 1.82842i
\(544\) 3.27009 2.83355i 0.140204 0.121488i
\(545\) 9.00625 4.11301i 0.385785 0.176182i
\(546\) −2.02059 8.38466i −0.0864733 0.358830i
\(547\) 3.61830 25.1658i 0.154707 1.07601i −0.753487 0.657463i \(-0.771630\pi\)
0.908194 0.418549i \(-0.137461\pi\)
\(548\) 8.30965 + 5.34029i 0.354971 + 0.228126i
\(549\) −6.56388 34.6234i −0.280140 1.47769i
\(550\) −0.0625619 + 0.213066i −0.00266765 + 0.00908518i
\(551\) 10.2242 0.435566
\(552\) −3.13880 + 7.69077i −0.133596 + 0.327341i
\(553\) 14.2714 0.606880
\(554\) −2.97058 + 10.1169i −0.126208 + 0.429825i
\(555\) −19.9713 + 11.4899i −0.847734 + 0.487721i
\(556\) −10.4775 6.73349i −0.444346 0.285564i
\(557\) 3.58680 24.9467i 0.151978 1.05703i −0.760922 0.648843i \(-0.775253\pi\)
0.912900 0.408184i \(-0.133838\pi\)
\(558\) 1.24746 12.6567i 0.0528091 0.535803i
\(559\) −27.0192 + 12.3393i −1.14279 + 0.521895i
\(560\) −1.30718 + 1.13268i −0.0552386 + 0.0478645i
\(561\) 0.753026 + 0.146323i 0.0317928 + 0.00617775i
\(562\) 29.6989 + 13.5630i 1.25277 + 0.572121i
\(563\) 35.0882 10.3028i 1.47879 0.434212i 0.559844 0.828598i \(-0.310861\pi\)
0.918945 + 0.394386i \(0.129043\pi\)
\(564\) −13.3244 0.655046i −0.561059 0.0275824i
\(565\) 5.75162 12.5943i 0.241972 0.529846i
\(566\) 0.665323 + 4.62742i 0.0279656 + 0.194505i
\(567\) 7.50422 + 5.41288i 0.315148 + 0.227320i
\(568\) 3.02828 + 6.63101i 0.127064 + 0.278231i
\(569\) −18.0839 + 11.6218i −0.758115 + 0.487211i −0.861705 0.507409i \(-0.830603\pi\)
0.103590 + 0.994620i \(0.466967\pi\)
\(570\) 4.38836 + 2.27082i 0.183808 + 0.0951140i
\(571\) −7.47682 + 11.6342i −0.312895 + 0.486875i −0.961709 0.274073i \(-0.911629\pi\)
0.648814 + 0.760947i \(0.275265\pi\)
\(572\) 0.324654 0.374671i 0.0135745 0.0156658i
\(573\) −16.8612 + 23.6022i −0.704389 + 0.985996i
\(574\) 2.27818i 0.0950895i
\(575\) −3.45377 + 9.81455i −0.144032 + 0.409295i
\(576\) 2.35250 + 1.86165i 0.0980210 + 0.0775686i
\(577\) −36.4284 10.6963i −1.51653 0.445295i −0.585636 0.810574i \(-0.699155\pi\)
−0.930898 + 0.365280i \(0.880973\pi\)
\(578\) −1.30180 1.12802i −0.0541478 0.0469194i
\(579\) −28.9006 + 22.6566i −1.20107 + 0.941574i
\(580\) −10.0413 1.44372i −0.416942 0.0599471i
\(581\) 3.04555 + 4.73896i 0.126351 + 0.196605i
\(582\) −9.86358 + 0.926713i −0.408859 + 0.0384135i
\(583\) 0.704657 + 0.813217i 0.0291839 + 0.0336800i
\(584\) −11.4087 + 1.64033i −0.472096 + 0.0678772i
\(585\) 21.7626 11.1357i 0.899772 0.460404i
\(586\) 0.624720 + 2.12760i 0.0258070 + 0.0878905i
\(587\) 2.78661 + 9.49033i 0.115016 + 0.391708i 0.996799 0.0799470i \(-0.0254751\pi\)
−0.881783 + 0.471655i \(0.843657\pi\)
\(588\) −7.43906 7.11478i −0.306782 0.293408i
\(589\) −7.11518 + 1.02301i −0.293176 + 0.0421523i
\(590\) −8.93610 10.3128i −0.367893 0.424571i
\(591\) 3.48349 + 37.0769i 0.143291 + 1.52514i
\(592\) 4.27475 + 6.65163i 0.175691 + 0.273381i
\(593\) −0.458775 0.0659619i −0.0188396 0.00270873i 0.132889 0.991131i \(-0.457575\pi\)
−0.151728 + 0.988422i \(0.548484\pi\)
\(594\) −0.00242823 + 0.531854i −9.96315e−5 + 0.0218222i
\(595\) 5.65612 + 4.90106i 0.231878 + 0.200924i
\(596\) 5.25077 + 1.54176i 0.215080 + 0.0631531i
\(597\) −0.608021 0.211475i −0.0248847 0.00865509i
\(598\) 16.1162 16.7281i 0.659040 0.684064i
\(599\) 2.23680i 0.0913932i 0.998955 + 0.0456966i \(0.0145507\pi\)
−0.998955 + 0.0456966i \(0.985449\pi\)
\(600\) 3.05759 + 2.18432i 0.124825 + 0.0891744i
\(601\) −4.37348 + 5.04726i −0.178398 + 0.205882i −0.837905 0.545816i \(-0.816220\pi\)
0.659507 + 0.751698i \(0.270765\pi\)
\(602\) 3.40867 5.30400i 0.138927 0.216175i
\(603\) −30.3730 32.0490i −1.23688 1.30514i
\(604\) 3.16868 2.03639i 0.128932 0.0828594i
\(605\) 7.68057 + 16.8181i 0.312259 + 0.683753i
\(606\) −9.84549 + 3.92416i −0.399946 + 0.159408i
\(607\) 1.19191 + 8.28993i 0.0483782 + 0.336478i 0.999608 + 0.0279948i \(0.00891219\pi\)
−0.951230 + 0.308483i \(0.900179\pi\)
\(608\) 0.704387 1.54239i 0.0285667 0.0625523i
\(609\) −0.527213 + 10.7241i −0.0213638 + 0.434564i
\(610\) 18.9623 5.56782i 0.767759 0.225434i
\(611\) 33.9339 + 15.4971i 1.37282 + 0.626946i
\(612\) 6.52462 11.2219i 0.263742 0.453620i
\(613\) 25.3844 21.9958i 1.02527 0.888400i 0.0314596 0.999505i \(-0.489984\pi\)
0.993809 + 0.111105i \(0.0354390\pi\)
\(614\) 13.3315 6.08831i 0.538017 0.245704i
\(615\) 6.27765 1.51283i 0.253139 0.0610031i
\(616\) −0.0149759 + 0.104159i −0.000603394 + 0.00419670i
\(617\) −6.60446 4.24443i −0.265886 0.170874i 0.400905 0.916120i \(-0.368696\pi\)
−0.666790 + 0.745246i \(0.732332\pi\)
\(618\) 8.52316 + 14.8146i 0.342852 + 0.595929i
\(619\) 6.97404 23.7514i 0.280310 0.954649i −0.692184 0.721721i \(-0.743351\pi\)
0.972494 0.232928i \(-0.0748306\pi\)
\(620\) 7.13234 0.286442
\(621\) −1.42801 + 24.8789i −0.0573041 + 0.998357i
\(622\) −10.7460 −0.430877
\(623\) 2.61539 8.90721i 0.104784 0.356860i
\(624\) −4.18351 7.27158i −0.167474 0.291096i
\(625\) −7.94636 5.10681i −0.317854 0.204273i
\(626\) −0.413675 + 2.87718i −0.0165338 + 0.114995i
\(627\) 0.292245 0.0704271i 0.0116711 0.00281259i
\(628\) 1.81963 0.830998i 0.0726112 0.0331604i
\(629\) 25.8560 22.4044i 1.03095 0.893321i
\(630\) −2.60814 + 4.48585i −0.103911 + 0.178720i
\(631\) −22.5499 10.2982i −0.897696 0.409964i −0.0875280 0.996162i \(-0.527897\pi\)
−0.810168 + 0.586198i \(0.800624\pi\)
\(632\) 13.3193 3.91089i 0.529812 0.155567i
\(633\) 0.660285 13.4310i 0.0262440 0.533834i
\(634\) −10.1039 + 22.1244i −0.401275 + 0.878671i
\(635\) −2.87468 19.9939i −0.114078 0.793432i
\(636\) 16.9145 6.74169i 0.670703 0.267325i
\(637\) 11.9577 + 26.1838i 0.473782 + 1.03744i
\(638\) −0.519209 + 0.333675i −0.0205557 + 0.0132103i
\(639\) 15.0433 + 15.8734i 0.595104 + 0.627943i
\(640\) −0.909580 + 1.41533i −0.0359543 + 0.0559460i
\(641\) −10.5629 + 12.1902i −0.417208 + 0.481484i −0.924984 0.380005i \(-0.875922\pi\)
0.507776 + 0.861489i \(0.330468\pi\)
\(642\) −20.0280 14.3079i −0.790443 0.564687i
\(643\) 30.4292i 1.20001i −0.799996 0.600005i \(-0.795165\pi\)
0.799996 0.600005i \(-0.204835\pi\)
\(644\) −0.958119 + 4.83650i −0.0377552 + 0.190585i
\(645\) 16.8790 + 5.87065i 0.664609 + 0.231157i
\(646\) −7.03969 2.06704i −0.276973 0.0813265i
\(647\) −19.3372 16.7558i −0.760224 0.658738i 0.185891 0.982570i \(-0.440483\pi\)
−0.946114 + 0.323833i \(0.895028\pi\)
\(648\) 8.48693 + 2.99533i 0.333398 + 0.117668i
\(649\) −0.821748 0.118149i −0.0322564 0.00463777i
\(650\) −5.68098 8.83978i −0.222826 0.346725i
\(651\) −0.706137 7.51586i −0.0276757 0.294570i
\(652\) −9.15348 10.5637i −0.358478 0.413706i
\(653\) 19.7902 2.84540i 0.774449 0.111349i 0.256252 0.966610i \(-0.417512\pi\)
0.518197 + 0.855261i \(0.326603\pi\)
\(654\) −7.36638 7.04527i −0.288048 0.275492i
\(655\) 0.221473 + 0.754268i 0.00865366 + 0.0294717i
\(656\) −0.624308 2.12620i −0.0243751 0.0830141i
\(657\) −30.7824 + 15.7510i −1.20093 + 0.614505i
\(658\) −7.83782 + 1.12691i −0.305550 + 0.0439314i
\(659\) −29.0804 33.5606i −1.13281 1.30734i −0.945716 0.324994i \(-0.894638\pi\)
−0.187096 0.982342i \(-0.559908\pi\)
\(660\) −0.296961 + 0.0279004i −0.0115592 + 0.00108602i
\(661\) 2.59155 + 4.03253i 0.100800 + 0.156847i 0.887990 0.459863i \(-0.152101\pi\)
−0.787190 + 0.616710i \(0.788465\pi\)
\(662\) 30.8145 + 4.43045i 1.19764 + 0.172194i
\(663\) −28.5674 + 22.3954i −1.10947 + 0.869764i
\(664\) 4.14103 + 3.58822i 0.160703 + 0.139250i
\(665\) 2.81404 + 0.826276i 0.109124 + 0.0320416i
\(666\) 18.6008 + 14.7197i 0.720767 + 0.570376i
\(667\) −25.1179 + 14.3292i −0.972569 + 0.554828i
\(668\) 11.9669i 0.463014i
\(669\) −16.4715 + 23.0567i −0.636826 + 0.891423i
\(670\) 16.2158 18.7141i 0.626472 0.722987i
\(671\) 0.650039 1.01148i 0.0250945 0.0390478i
\(672\) 1.58149 + 0.818365i 0.0610074 + 0.0315691i
\(673\) 29.9188 19.2276i 1.15328 0.741171i 0.182994 0.983114i \(-0.441421\pi\)
0.970290 + 0.241943i \(0.0777847\pi\)
\(674\) −4.56498 9.99592i −0.175837 0.385028i
\(675\) 10.8018 + 3.22532i 0.415760 + 0.124143i
\(676\) 1.48850 + 10.3528i 0.0572501 + 0.398183i
\(677\) 6.54304 14.3273i 0.251469 0.550641i −0.741231 0.671250i \(-0.765758\pi\)
0.992700 + 0.120609i \(0.0384848\pi\)
\(678\) −14.2368 0.699899i −0.546760 0.0268795i
\(679\) −5.64223 + 1.65671i −0.216529 + 0.0635786i
\(680\) 6.62186 + 3.02410i 0.253937 + 0.115969i
\(681\) −16.3329 3.17370i −0.625879 0.121616i
\(682\) 0.327939 0.284161i 0.0125574 0.0108811i
\(683\) −45.0288 + 20.5640i −1.72298 + 0.786858i −0.728135 + 0.685433i \(0.759613\pi\)
−0.994843 + 0.101424i \(0.967660\pi\)
\(684\) 0.498948 5.06234i 0.0190778 0.193563i
\(685\) −2.36504 + 16.4492i −0.0903635 + 0.628492i
\(686\) −11.1941 7.19402i −0.427394 0.274669i
\(687\) 21.3756 12.2979i 0.815532 0.469194i
\(688\) 1.72778 5.88426i 0.0658708 0.224335i
\(689\) −50.9179 −1.93982
\(690\) −13.9635 + 0.571536i −0.531580 + 0.0217580i
\(691\) −11.4429 −0.435308 −0.217654 0.976026i \(-0.569840\pi\)
−0.217654 + 0.976026i \(0.569840\pi\)
\(692\) 0.469675 1.59957i 0.0178544 0.0608064i
\(693\) 0.0588012 + 0.310167i 0.00223367 + 0.0117823i
\(694\) −27.3187 17.5566i −1.03700 0.666441i
\(695\) 2.98204 20.7406i 0.113115 0.786734i
\(696\) 2.44678 + 10.1532i 0.0927451 + 0.384856i
\(697\) −8.72188 + 3.98315i −0.330365 + 0.150873i
\(698\) 1.19864 1.03862i 0.0453690 0.0393125i
\(699\) 1.42692 7.34343i 0.0539712 0.277754i
\(700\) 2.02885 + 0.926545i 0.0766833 + 0.0350201i
\(701\) −14.8215 + 4.35198i −0.559800 + 0.164372i −0.549378 0.835574i \(-0.685135\pi\)
−0.0104214 + 0.999946i \(0.503317\pi\)
\(702\) −18.9448 16.5678i −0.715026 0.625312i
\(703\) 5.56946 12.1954i 0.210056 0.459959i
\(704\) 0.0145668 + 0.101315i 0.000549008 + 0.00381844i
\(705\) −8.30996 20.8492i −0.312971 0.785225i
\(706\) 3.37848 + 7.39785i 0.127151 + 0.278422i
\(707\) −5.29232 + 3.40116i −0.199038 + 0.127914i
\(708\) −6.45635 + 12.4769i −0.242645 + 0.468911i
\(709\) 4.02008 6.25537i 0.150977 0.234925i −0.757524 0.652807i \(-0.773591\pi\)
0.908501 + 0.417882i \(0.137227\pi\)
\(710\) −8.03148 + 9.26882i −0.301416 + 0.347852i
\(711\) 33.9962 24.0530i 1.27496 0.902056i
\(712\) 9.02971i 0.338403i
\(713\) 16.0462 12.4851i 0.600935 0.467572i
\(714\) 2.53112 7.27733i 0.0947247 0.272347i
\(715\) 0.800287 + 0.234985i 0.0299290 + 0.00878796i
\(716\) 8.83428 + 7.65494i 0.330152 + 0.286079i
\(717\) −14.7908 18.8670i −0.552371 0.704601i
\(718\) 6.85055 + 0.984961i 0.255660 + 0.0367584i
\(719\) −8.35006 12.9929i −0.311405 0.484555i 0.649909 0.760012i \(-0.274807\pi\)
−0.961313 + 0.275457i \(0.911171\pi\)
\(720\) −1.20485 + 4.90132i −0.0449023 + 0.182661i
\(721\) 6.64342 + 7.66692i 0.247414 + 0.285531i
\(722\) 15.9607 2.29481i 0.593997 0.0854039i
\(723\) −14.0929 + 14.7353i −0.524122 + 0.548011i
\(724\) 7.05993 + 24.0439i 0.262380 + 0.893584i
\(725\) 3.68549 + 12.5516i 0.136876 + 0.466155i
\(726\) 13.1562 13.7558i 0.488272 0.510527i
\(727\) 24.5659 3.53204i 0.911099 0.130996i 0.329203 0.944259i \(-0.393220\pi\)
0.581896 + 0.813263i \(0.302311\pi\)
\(728\) −3.26086 3.76323i −0.120855 0.139475i
\(729\) 26.9989 + 0.246537i 0.999958 + 0.00913100i
\(730\) −10.4839 16.3132i −0.388025 0.603779i
\(731\) −26.2657 3.77644i −0.971473 0.139677i
\(732\) −12.5526 16.0121i −0.463959 0.591823i
\(733\) −3.96930 3.43942i −0.146610 0.127038i 0.578468 0.815705i \(-0.303651\pi\)
−0.725078 + 0.688667i \(0.758196\pi\)
\(734\) −4.51843 1.32673i −0.166778 0.0489706i
\(735\) 5.68913 16.3571i 0.209847 0.603340i
\(736\) 0.431184 + 4.77641i 0.0158937 + 0.176061i
\(737\) 1.50651i 0.0554931i
\(738\) −3.83965 5.42692i −0.141339 0.199768i
\(739\) −2.04564 + 2.36080i −0.0752502 + 0.0868434i −0.792126 0.610357i \(-0.791026\pi\)
0.716876 + 0.697201i \(0.245571\pi\)
\(740\) −7.19188 + 11.1908i −0.264379 + 0.411382i
\(741\) −6.53742 + 12.6336i −0.240158 + 0.464106i
\(742\) 9.09216 5.84318i 0.333784 0.214510i
\(743\) 7.60500 + 16.6526i 0.279000 + 0.610926i 0.996310 0.0858289i \(-0.0273539\pi\)
−0.717309 + 0.696755i \(0.754627\pi\)
\(744\) −2.71866 6.82095i −0.0996709 0.250068i
\(745\) 1.31028 + 9.11318i 0.0480049 + 0.333881i
\(746\) 3.70861 8.12073i 0.135782 0.297321i
\(747\) 15.2419 + 6.15584i 0.557673 + 0.225231i
\(748\) 0.424951 0.124777i 0.0155378 0.00456230i
\(749\) −13.2895 6.06912i −0.485588 0.221761i
\(750\) −3.98506 + 20.5085i −0.145514 + 0.748863i
\(751\) 19.7209 17.0883i 0.719626 0.623559i −0.216066 0.976379i \(-0.569323\pi\)
0.935691 + 0.352820i \(0.114777\pi\)
\(752\) −7.00612 + 3.19959i −0.255487 + 0.116677i
\(753\) −2.47992 10.2907i −0.0903734 0.375014i
\(754\) 4.15630 28.9077i 0.151364 1.05276i
\(755\) 5.33102 + 3.42604i 0.194016 + 0.124686i
\(756\) 5.28415 + 0.784387i 0.192183 + 0.0285279i
\(757\) 5.09428 17.3495i 0.185155 0.630580i −0.813634 0.581378i \(-0.802514\pi\)
0.998789 0.0492022i \(-0.0156679\pi\)
\(758\) −19.9577 −0.724895
\(759\) −0.619257 + 0.582599i −0.0224776 + 0.0211470i
\(760\) 2.85274 0.103480
\(761\) −13.2516 + 45.1307i −0.480370 + 1.63599i 0.261325 + 0.965251i \(0.415840\pi\)
−0.741695 + 0.670738i \(0.765978\pi\)
\(762\) −18.0252 + 10.3703i −0.652983 + 0.375676i
\(763\) −5.08978 3.27100i −0.184262 0.118418i
\(764\) −2.38332 + 16.5763i −0.0862254 + 0.599711i
\(765\) 21.7338 + 2.14210i 0.785789 + 0.0774480i
\(766\) −30.6023 + 13.9756i −1.10571 + 0.504960i
\(767\) 29.6894 25.7260i 1.07202 0.928912i
\(768\) 1.70025 + 0.330381i 0.0613525 + 0.0119216i
\(769\) 6.32838 + 2.89007i 0.228207 + 0.104219i 0.526237 0.850338i \(-0.323602\pi\)
−0.298030 + 0.954556i \(0.596330\pi\)
\(770\) −0.169870 + 0.0498782i −0.00612167 + 0.00179749i
\(771\) 35.4266 + 1.74162i 1.27586 + 0.0627229i
\(772\) −8.80759 + 19.2859i −0.316992