Properties

Label 483.2.r.a.181.16
Level $483$
Weight $2$
Character 483.181
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.r (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(32\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 181.16
Character \(\chi\) \(=\) 483.181
Dual form 483.2.r.a.475.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0528826 - 0.367807i) q^{2} +(0.909632 + 0.415415i) q^{3} +(1.78650 - 0.524564i) q^{4} +(1.16855 - 1.34858i) q^{5} +(0.104689 - 0.356537i) q^{6} +(-2.06795 + 1.65033i) q^{7} +(-0.596140 - 1.30537i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})\) \(q+(-0.0528826 - 0.367807i) q^{2} +(0.909632 + 0.415415i) q^{3} +(1.78650 - 0.524564i) q^{4} +(1.16855 - 1.34858i) q^{5} +(0.104689 - 0.356537i) q^{6} +(-2.06795 + 1.65033i) q^{7} +(-0.596140 - 1.30537i) q^{8} +(0.654861 + 0.755750i) q^{9} +(-0.557813 - 0.358485i) q^{10} +(2.52764 + 0.363420i) q^{11} +(1.84297 + 0.264979i) q^{12} +(1.29979 - 2.02252i) q^{13} +(0.716362 + 0.673331i) q^{14} +(1.62317 - 0.741278i) q^{15} +(2.68410 - 1.72497i) q^{16} +(2.41938 + 0.710394i) q^{17} +(0.243339 - 0.280828i) q^{18} +(-4.98600 + 1.46402i) q^{19} +(1.38020 - 3.02222i) q^{20} +(-2.56664 + 0.642140i) q^{21} -0.948903i q^{22} +(2.24432 - 4.23828i) q^{23} -1.43505i q^{24} +(0.258418 + 1.79734i) q^{25} +(-0.812633 - 0.371117i) q^{26} +(0.281733 + 0.959493i) q^{27} +(-2.82868 + 4.03309i) q^{28} +(-0.540320 - 0.158652i) q^{29} +(-0.358485 - 0.557813i) q^{30} +(-6.42522 + 2.93430i) q^{31} +(-2.65591 - 3.06508i) q^{32} +(2.14825 + 1.38060i) q^{33} +(0.133345 - 0.927433i) q^{34} +(-0.190895 + 4.71729i) q^{35} +(1.56635 + 1.00663i) q^{36} +(0.723568 - 0.626975i) q^{37} +(0.802150 + 1.75646i) q^{38} +(2.02252 - 1.29979i) q^{39} +(-2.45701 - 0.721444i) q^{40} +(-0.680684 - 0.589816i) q^{41} +(0.371914 + 0.910071i) q^{42} +(-6.82303 - 3.11597i) q^{43} +(4.70627 - 0.676660i) q^{44} +1.78443 q^{45} +(-1.67755 - 0.601344i) q^{46} +4.33216i q^{47} +(3.15812 - 0.454069i) q^{48} +(1.55280 - 6.82560i) q^{49} +(0.647406 - 0.190096i) q^{50} +(1.90564 + 1.65124i) q^{51} +(1.26114 - 4.29506i) q^{52} +(4.74091 + 7.37701i) q^{53} +(0.338009 - 0.154364i) q^{54} +(3.44378 - 2.98405i) q^{55} +(3.38707 + 1.71560i) q^{56} +(-5.14360 - 0.739538i) q^{57} +(-0.0297799 + 0.207124i) q^{58} +(4.20500 - 6.54311i) q^{59} +(2.51095 - 2.17575i) q^{60} +(4.59307 + 10.0574i) q^{61} +(1.41904 + 2.20807i) q^{62} +(-2.60146 - 0.482111i) q^{63} +(3.19188 - 3.68363i) q^{64} +(-1.20865 - 4.11630i) q^{65} +(0.394189 - 0.863153i) q^{66} +(-9.43925 + 1.35716i) q^{67} +4.69487 q^{68} +(3.80215 - 2.92295i) q^{69} +(1.74515 - 0.179250i) q^{70} +(0.808859 + 5.62574i) q^{71} +(0.596140 - 1.30537i) q^{72} +(-2.02760 - 6.90538i) q^{73} +(-0.268870 - 0.232977i) q^{74} +(-0.511575 + 1.74226i) q^{75} +(-8.13951 + 5.23095i) q^{76} +(-5.82679 + 3.41992i) q^{77} +(-0.585030 - 0.675160i) q^{78} +(-6.76587 + 10.5279i) q^{79} +(0.810253 - 5.63544i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(-0.180942 + 0.281551i) q^{82} +(-10.7055 - 12.3548i) q^{83} +(-4.24847 + 2.49355i) q^{84} +(3.78520 - 2.43260i) q^{85} +(-0.785257 + 2.67434i) q^{86} +(-0.425586 - 0.368773i) q^{87} +(-1.03243 - 3.51615i) q^{88} +(-2.99411 + 6.55618i) q^{89} +(-0.0943653 - 0.656325i) q^{90} +(0.649926 + 6.32756i) q^{91} +(1.78623 - 8.74898i) q^{92} -7.06354 q^{93} +(1.59340 - 0.229096i) q^{94} +(-3.85205 + 8.43480i) q^{95} +(-1.14262 - 3.89140i) q^{96} +(0.0261853 - 0.0302194i) q^{97} +(-2.59262 - 0.210176i) q^{98} +(1.38060 + 2.14825i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9} - 4 q^{18} + 52 q^{23} - 68 q^{25} - 88 q^{28} + 24 q^{32} + 28 q^{35} + 14 q^{36} - 44 q^{37} + 110 q^{42} - 44 q^{43} - 154 q^{44} + 40 q^{46} - 16 q^{49} - 166 q^{50} - 44 q^{51} + 110 q^{56} - 44 q^{57} - 62 q^{58} - 84 q^{64} + 72 q^{70} - 40 q^{71} - 12 q^{72} + 22 q^{74} + 72 q^{77} - 8 q^{78} - 88 q^{79} - 32 q^{81} - 304 q^{85} + 330 q^{88} - 412 q^{92} + 24 q^{93} + 148 q^{95} - 60 q^{98} + 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0528826 0.367807i −0.0373937 0.260079i 0.962545 0.271121i \(-0.0873943\pi\)
−0.999939 + 0.0110420i \(0.996485\pi\)
\(3\) 0.909632 + 0.415415i 0.525176 + 0.239840i
\(4\) 1.78650 0.524564i 0.893250 0.262282i
\(5\) 1.16855 1.34858i 0.522592 0.603104i −0.431686 0.902024i \(-0.642081\pi\)
0.954278 + 0.298920i \(0.0966265\pi\)
\(6\) 0.104689 0.356537i 0.0427390 0.145556i
\(7\) −2.06795 + 1.65033i −0.781610 + 0.623767i
\(8\) −0.596140 1.30537i −0.210767 0.461516i
\(9\) 0.654861 + 0.755750i 0.218287 + 0.251917i
\(10\) −0.557813 0.358485i −0.176396 0.113363i
\(11\) 2.52764 + 0.363420i 0.762113 + 0.109575i 0.512403 0.858745i \(-0.328756\pi\)
0.249710 + 0.968321i \(0.419665\pi\)
\(12\) 1.84297 + 0.264979i 0.532020 + 0.0764929i
\(13\) 1.29979 2.02252i 0.360498 0.560946i −0.612873 0.790182i \(-0.709986\pi\)
0.973371 + 0.229235i \(0.0736226\pi\)
\(14\) 0.716362 + 0.673331i 0.191456 + 0.179955i
\(15\) 1.62317 0.741278i 0.419101 0.191397i
\(16\) 2.68410 1.72497i 0.671025 0.431241i
\(17\) 2.41938 + 0.710394i 0.586786 + 0.172296i 0.561631 0.827388i \(-0.310174\pi\)
0.0251548 + 0.999684i \(0.491992\pi\)
\(18\) 0.243339 0.280828i 0.0573556 0.0661919i
\(19\) −4.98600 + 1.46402i −1.14387 + 0.335869i −0.798144 0.602467i \(-0.794184\pi\)
−0.345723 + 0.938337i \(0.612366\pi\)
\(20\) 1.38020 3.02222i 0.308622 0.675789i
\(21\) −2.56664 + 0.642140i −0.560087 + 0.140126i
\(22\) 0.948903i 0.202307i
\(23\) 2.24432 4.23828i 0.467973 0.883743i
\(24\) 1.43505i 0.292928i
\(25\) 0.258418 + 1.79734i 0.0516836 + 0.359467i
\(26\) −0.812633 0.371117i −0.159370 0.0727821i
\(27\) 0.281733 + 0.959493i 0.0542195 + 0.184655i
\(28\) −2.82868 + 4.03309i −0.534571 + 0.762182i
\(29\) −0.540320 0.158652i −0.100335 0.0294610i 0.231180 0.972911i \(-0.425741\pi\)
−0.331515 + 0.943450i \(0.607560\pi\)
\(30\) −0.358485 0.557813i −0.0654501 0.101842i
\(31\) −6.42522 + 2.93430i −1.15400 + 0.527016i −0.898145 0.439698i \(-0.855085\pi\)
−0.255858 + 0.966714i \(0.582358\pi\)
\(32\) −2.65591 3.06508i −0.469503 0.541835i
\(33\) 2.14825 + 1.38060i 0.373963 + 0.240331i
\(34\) 0.133345 0.927433i 0.0228684 0.159053i
\(35\) −0.190895 + 4.71729i −0.0322672 + 0.797368i
\(36\) 1.56635 + 1.00663i 0.261058 + 0.167772i
\(37\) 0.723568 0.626975i 0.118954 0.103074i −0.593353 0.804943i \(-0.702196\pi\)
0.712307 + 0.701868i \(0.247651\pi\)
\(38\) 0.802150 + 1.75646i 0.130126 + 0.284936i
\(39\) 2.02252 1.29979i 0.323862 0.208134i
\(40\) −2.45701 0.721444i −0.388488 0.114070i
\(41\) −0.680684 0.589816i −0.106305 0.0921138i 0.600087 0.799935i \(-0.295133\pi\)
−0.706392 + 0.707821i \(0.749678\pi\)
\(42\) 0.371914 + 0.910071i 0.0573876 + 0.140427i
\(43\) −6.82303 3.11597i −1.04050 0.475182i −0.179487 0.983760i \(-0.557444\pi\)
−0.861016 + 0.508579i \(0.830171\pi\)
\(44\) 4.70627 0.676660i 0.709497 0.102010i
\(45\) 1.78443 0.266007
\(46\) −1.67755 0.601344i −0.247342 0.0886633i
\(47\) 4.33216i 0.631911i 0.948774 + 0.315955i \(0.102325\pi\)
−0.948774 + 0.315955i \(0.897675\pi\)
\(48\) 3.15812 0.454069i 0.455835 0.0655392i
\(49\) 1.55280 6.82560i 0.221829 0.975086i
\(50\) 0.647406 0.190096i 0.0915571 0.0268836i
\(51\) 1.90564 + 1.65124i 0.266843 + 0.231221i
\(52\) 1.26114 4.29506i 0.174889 0.595617i
\(53\) 4.74091 + 7.37701i 0.651215 + 1.01331i 0.997179 + 0.0750622i \(0.0239155\pi\)
−0.345964 + 0.938248i \(0.612448\pi\)
\(54\) 0.338009 0.154364i 0.0459972 0.0210062i
\(55\) 3.44378 2.98405i 0.464360 0.402370i
\(56\) 3.38707 + 1.71560i 0.452617 + 0.229256i
\(57\) −5.14360 0.739538i −0.681286 0.0979542i
\(58\) −0.0297799 + 0.207124i −0.00391029 + 0.0271967i
\(59\) 4.20500 6.54311i 0.547445 0.851841i −0.451743 0.892148i \(-0.649197\pi\)
0.999187 + 0.0403077i \(0.0128338\pi\)
\(60\) 2.51095 2.17575i 0.324162 0.280888i
\(61\) 4.59307 + 10.0574i 0.588083 + 1.28772i 0.936594 + 0.350417i \(0.113960\pi\)
−0.348511 + 0.937305i \(0.613313\pi\)
\(62\) 1.41904 + 2.20807i 0.180218 + 0.280425i
\(63\) −2.60146 0.482111i −0.327753 0.0607403i
\(64\) 3.19188 3.68363i 0.398985 0.460454i
\(65\) −1.20865 4.11630i −0.149915 0.510564i
\(66\) 0.394189 0.863153i 0.0485213 0.106247i
\(67\) −9.43925 + 1.35716i −1.15319 + 0.165803i −0.692270 0.721639i \(-0.743389\pi\)
−0.460919 + 0.887442i \(0.652480\pi\)
\(68\) 4.69487 0.569337
\(69\) 3.80215 2.92295i 0.457725 0.351882i
\(70\) 1.74515 0.179250i 0.208585 0.0214245i
\(71\) 0.808859 + 5.62574i 0.0959939 + 0.667652i 0.979827 + 0.199849i \(0.0640452\pi\)
−0.883833 + 0.467803i \(0.845046\pi\)
\(72\) 0.596140 1.30537i 0.0702558 0.153839i
\(73\) −2.02760 6.90538i −0.237313 0.808214i −0.988900 0.148580i \(-0.952530\pi\)
0.751587 0.659634i \(-0.229289\pi\)
\(74\) −0.268870 0.232977i −0.0312555 0.0270831i
\(75\) −0.511575 + 1.74226i −0.0590716 + 0.201179i
\(76\) −8.13951 + 5.23095i −0.933666 + 0.600031i
\(77\) −5.82679 + 3.41992i −0.664025 + 0.389736i
\(78\) −0.585030 0.675160i −0.0662416 0.0764468i
\(79\) −6.76587 + 10.5279i −0.761220 + 1.18448i 0.216850 + 0.976205i \(0.430422\pi\)
−0.978070 + 0.208276i \(0.933215\pi\)
\(80\) 0.810253 5.63544i 0.0905891 0.630061i
\(81\) −0.142315 + 0.989821i −0.0158128 + 0.109980i
\(82\) −0.180942 + 0.281551i −0.0199817 + 0.0310921i
\(83\) −10.7055 12.3548i −1.17509 1.35612i −0.921296 0.388861i \(-0.872869\pi\)
−0.253789 0.967260i \(-0.581677\pi\)
\(84\) −4.24847 + 2.49355i −0.463546 + 0.272069i
\(85\) 3.78520 2.43260i 0.410562 0.263852i
\(86\) −0.785257 + 2.67434i −0.0846764 + 0.288381i
\(87\) −0.425586 0.368773i −0.0456276 0.0395366i
\(88\) −1.03243 3.51615i −0.110058 0.374823i
\(89\) −2.99411 + 6.55618i −0.317375 + 0.694954i −0.999336 0.0364342i \(-0.988400\pi\)
0.681961 + 0.731388i \(0.261127\pi\)
\(90\) −0.0943653 0.656325i −0.00994697 0.0691827i
\(91\) 0.649926 + 6.32756i 0.0681307 + 0.663308i
\(92\) 1.78623 8.74898i 0.186227 0.912144i
\(93\) −7.06354 −0.732455
\(94\) 1.59340 0.229096i 0.164347 0.0236295i
\(95\) −3.85205 + 8.43480i −0.395212 + 0.865393i
\(96\) −1.14262 3.89140i −0.116618 0.397165i
\(97\) 0.0261853 0.0302194i 0.00265871 0.00306832i −0.754419 0.656394i \(-0.772081\pi\)
0.757077 + 0.653325i \(0.226627\pi\)
\(98\) −2.59262 0.210176i −0.261894 0.0212310i
\(99\) 1.38060 + 2.14825i 0.138755 + 0.215908i
\(100\) 1.40448 + 3.07538i 0.140448 + 0.307538i
\(101\) 8.11335 7.03026i 0.807308 0.699537i −0.149974 0.988690i \(-0.547919\pi\)
0.957283 + 0.289153i \(0.0933737\pi\)
\(102\) 0.506564 0.788229i 0.0501573 0.0780463i
\(103\) 0.300741 2.09170i 0.0296329 0.206101i −0.969626 0.244592i \(-0.921346\pi\)
0.999259 + 0.0384909i \(0.0122551\pi\)
\(104\) −3.41499 0.491001i −0.334867 0.0481466i
\(105\) −2.13328 + 4.21170i −0.208187 + 0.411020i
\(106\) 2.46260 2.13386i 0.239189 0.207258i
\(107\) −13.1144 + 5.98915i −1.26782 + 0.578993i −0.931838 0.362875i \(-0.881795\pi\)
−0.335981 + 0.941869i \(0.609068\pi\)
\(108\) 1.00663 + 1.56635i 0.0968631 + 0.150722i
\(109\) −5.41552 + 18.4436i −0.518713 + 1.76657i 0.115386 + 0.993321i \(0.463189\pi\)
−0.634099 + 0.773252i \(0.718629\pi\)
\(110\) −1.27967 1.10884i −0.122012 0.105724i
\(111\) 0.918636 0.269736i 0.0871931 0.0256022i
\(112\) −2.70381 + 7.99679i −0.255486 + 0.755626i
\(113\) −9.67659 + 1.39128i −0.910297 + 0.130881i −0.581525 0.813528i \(-0.697544\pi\)
−0.328772 + 0.944409i \(0.606635\pi\)
\(114\) 1.93096i 0.180851i
\(115\) −3.09306 7.97930i −0.288430 0.744073i
\(116\) −1.04851 −0.0973513
\(117\) 2.37970 0.342150i 0.220004 0.0316317i
\(118\) −2.62897 1.20061i −0.242017 0.110525i
\(119\) −6.17554 + 2.52373i −0.566111 + 0.231350i
\(120\) −1.93528 1.67693i −0.176666 0.153082i
\(121\) −4.29752 1.26187i −0.390684 0.114715i
\(122\) 3.45630 2.22123i 0.312918 0.201100i
\(123\) −0.374153 0.819282i −0.0337363 0.0738722i
\(124\) −9.93943 + 8.61257i −0.892587 + 0.773431i
\(125\) 10.2316 + 6.57545i 0.915143 + 0.588127i
\(126\) −0.0397520 + 0.982328i −0.00354139 + 0.0875128i
\(127\) −0.983659 + 6.84150i −0.0872856 + 0.607085i 0.898487 + 0.439000i \(0.144667\pi\)
−0.985773 + 0.168085i \(0.946242\pi\)
\(128\) −8.34738 5.36454i −0.737811 0.474162i
\(129\) −4.91203 5.66878i −0.432480 0.499108i
\(130\) −1.45009 + 0.662232i −0.127181 + 0.0580816i
\(131\) 6.97012 + 10.8457i 0.608982 + 0.947595i 0.999634 + 0.0270560i \(0.00861325\pi\)
−0.390652 + 0.920538i \(0.627750\pi\)
\(132\) 4.56207 + 1.33954i 0.397077 + 0.116592i
\(133\) 7.89465 11.2561i 0.684553 0.976025i
\(134\) 0.998346 + 3.40005i 0.0862439 + 0.293720i
\(135\) 1.62317 + 0.741278i 0.139700 + 0.0637991i
\(136\) −0.514967 3.58167i −0.0441580 0.307126i
\(137\) 15.0547i 1.28621i −0.765779 0.643104i \(-0.777646\pi\)
0.765779 0.643104i \(-0.222354\pi\)
\(138\) −1.27615 1.24388i −0.108633 0.105886i
\(139\) 0.0576594i 0.00489061i −0.999997 0.00244530i \(-0.999222\pi\)
0.999997 0.00244530i \(-0.000778365\pi\)
\(140\) 2.13349 + 8.52758i 0.180312 + 0.720712i
\(141\) −1.79965 + 3.94067i −0.151557 + 0.331865i
\(142\) 2.02641 0.595008i 0.170053 0.0499319i
\(143\) 4.02044 4.63984i 0.336206 0.388003i
\(144\) 3.06135 + 0.898894i 0.255113 + 0.0749079i
\(145\) −0.845348 + 0.543272i −0.0702023 + 0.0451163i
\(146\) −2.43262 + 1.11094i −0.201325 + 0.0919422i
\(147\) 4.24794 5.56373i 0.350364 0.458888i
\(148\) 0.963766 1.49965i 0.0792211 0.123270i
\(149\) 7.42062 + 1.06692i 0.607921 + 0.0874058i 0.439399 0.898292i \(-0.355191\pi\)
0.168522 + 0.985698i \(0.446101\pi\)
\(150\) 0.667870 + 0.0960252i 0.0545314 + 0.00784043i
\(151\) −0.981968 0.631072i −0.0799114 0.0513559i 0.500075 0.865982i \(-0.333306\pi\)
−0.579986 + 0.814626i \(0.696942\pi\)
\(152\) 4.88344 + 5.63579i 0.396099 + 0.457123i
\(153\) 1.04748 + 2.29366i 0.0846835 + 0.185431i
\(154\) 1.56601 + 1.96228i 0.126192 + 0.158125i
\(155\) −3.55106 + 12.0938i −0.285228 + 0.971398i
\(156\) 2.93141 3.38302i 0.234700 0.270859i
\(157\) 16.6163 4.87899i 1.32613 0.389386i 0.459427 0.888215i \(-0.348055\pi\)
0.866700 + 0.498829i \(0.166237\pi\)
\(158\) 4.23003 + 1.93179i 0.336523 + 0.153685i
\(159\) 1.24797 + 8.67981i 0.0989703 + 0.688354i
\(160\) −7.23708 −0.572141
\(161\) 2.35345 + 12.4684i 0.185478 + 0.982648i
\(162\) 0.371589 0.0291948
\(163\) −0.0202717 0.140992i −0.00158780 0.0110434i 0.989012 0.147834i \(-0.0472302\pi\)
−0.990600 + 0.136791i \(0.956321\pi\)
\(164\) −1.52544 0.696644i −0.119117 0.0543988i
\(165\) 4.37220 1.28379i 0.340375 0.0999431i
\(166\) −3.97806 + 4.59093i −0.308757 + 0.356325i
\(167\) 0.664497 2.26307i 0.0514203 0.175122i −0.929779 0.368118i \(-0.880002\pi\)
0.981200 + 0.192996i \(0.0618205\pi\)
\(168\) 2.36831 + 2.96760i 0.182719 + 0.228955i
\(169\) 2.99927 + 6.56750i 0.230713 + 0.505192i
\(170\) −1.09490 1.26358i −0.0839748 0.0969121i
\(171\) −4.37157 2.80944i −0.334302 0.214843i
\(172\) −13.8239 1.98757i −1.05406 0.151551i
\(173\) −23.6711 3.40340i −1.79968 0.258755i −0.840555 0.541726i \(-0.817771\pi\)
−0.959129 + 0.282970i \(0.908680\pi\)
\(174\) −0.113131 + 0.176035i −0.00857643 + 0.0133452i
\(175\) −3.50060 3.29032i −0.264620 0.248725i
\(176\) 7.41133 3.38464i 0.558650 0.255127i
\(177\) 6.54311 4.20500i 0.491810 0.316067i
\(178\) 2.56975 + 0.754546i 0.192611 + 0.0565556i
\(179\) 13.9524 16.1020i 1.04285 1.20352i 0.0642152 0.997936i \(-0.479546\pi\)
0.978640 0.205583i \(-0.0659089\pi\)
\(180\) 3.18788 0.936046i 0.237611 0.0697688i
\(181\) 1.66306 3.64159i 0.123614 0.270677i −0.837701 0.546130i \(-0.816101\pi\)
0.961315 + 0.275453i \(0.0888278\pi\)
\(182\) 2.29295 0.573665i 0.169965 0.0425229i
\(183\) 11.0566i 0.817326i
\(184\) −6.87044 0.403044i −0.506495 0.0297128i
\(185\) 1.70844i 0.125607i
\(186\) 0.373539 + 2.59802i 0.0273892 + 0.190496i
\(187\) 5.85716 + 2.67488i 0.428318 + 0.195606i
\(188\) 2.27250 + 7.73941i 0.165739 + 0.564455i
\(189\) −2.16609 1.51923i −0.157560 0.110508i
\(190\) 3.30608 + 0.970754i 0.239849 + 0.0704259i
\(191\) 0.910791 + 1.41722i 0.0659025 + 0.102546i 0.872641 0.488363i \(-0.162406\pi\)
−0.806738 + 0.590909i \(0.798769\pi\)
\(192\) 4.43367 2.02479i 0.319973 0.146127i
\(193\) −8.44951 9.75126i −0.608209 0.701911i 0.365214 0.930923i \(-0.380996\pi\)
−0.973423 + 0.229013i \(0.926450\pi\)
\(194\) −0.0124997 0.00803305i −0.000897424 0.000576739i
\(195\) 0.610541 4.24641i 0.0437218 0.304092i
\(196\) −0.806379 13.0085i −0.0575985 0.929177i
\(197\) −10.7390 6.90152i −0.765120 0.491713i 0.0989452 0.995093i \(-0.468453\pi\)
−0.864065 + 0.503380i \(0.832090\pi\)
\(198\) 0.717133 0.621399i 0.0509644 0.0441609i
\(199\) −0.240381 0.526360i −0.0170401 0.0373127i 0.900921 0.433984i \(-0.142893\pi\)
−0.917961 + 0.396671i \(0.870165\pi\)
\(200\) 2.19213 1.40879i 0.155007 0.0996168i
\(201\) −9.15003 2.68669i −0.645394 0.189505i
\(202\) −3.01483 2.61237i −0.212123 0.183805i
\(203\) 1.37918 0.563624i 0.0967997 0.0395586i
\(204\) 4.27061 + 1.95032i 0.299002 + 0.136550i
\(205\) −1.59083 + 0.228727i −0.111108 + 0.0159750i
\(206\) −0.785245 −0.0547106
\(207\) 4.67280 1.07934i 0.324782 0.0750195i
\(208\) 7.67074i 0.531870i
\(209\) −13.1349 + 1.88851i −0.908558 + 0.130631i
\(210\) 1.66190 + 0.561909i 0.114682 + 0.0387754i
\(211\) 24.8927 7.30914i 1.71368 0.503182i 0.730052 0.683391i \(-0.239496\pi\)
0.983628 + 0.180209i \(0.0576774\pi\)
\(212\) 12.3394 + 10.6921i 0.847471 + 0.734338i
\(213\) −1.60125 + 5.45336i −0.109716 + 0.373658i
\(214\) 2.89638 + 4.50685i 0.197992 + 0.308082i
\(215\) −12.1752 + 5.56023i −0.830342 + 0.379205i
\(216\) 1.08454 0.939757i 0.0737934 0.0639423i
\(217\) 8.44444 16.6717i 0.573246 1.13175i
\(218\) 7.07005 + 1.01652i 0.478845 + 0.0688474i
\(219\) 1.02423 7.12366i 0.0692109 0.481372i
\(220\) 4.58699 7.13750i 0.309255 0.481210i
\(221\) 4.58149 3.96988i 0.308184 0.267043i
\(222\) −0.147791 0.323616i −0.00991905 0.0217197i
\(223\) −1.25692 1.95580i −0.0841696 0.130970i 0.796616 0.604486i \(-0.206621\pi\)
−0.880786 + 0.473515i \(0.842985\pi\)
\(224\) 10.5507 + 1.95529i 0.704947 + 0.130643i
\(225\) −1.18911 + 1.37230i −0.0792738 + 0.0914869i
\(226\) 1.02345 + 3.48554i 0.0680787 + 0.231855i
\(227\) 3.49471 7.65235i 0.231952 0.507905i −0.757487 0.652850i \(-0.773573\pi\)
0.989440 + 0.144945i \(0.0463006\pi\)
\(228\) −9.57698 + 1.37696i −0.634251 + 0.0911915i
\(229\) 2.80899 0.185624 0.0928118 0.995684i \(-0.470415\pi\)
0.0928118 + 0.995684i \(0.470415\pi\)
\(230\) −2.77127 + 1.55962i −0.182732 + 0.102838i
\(231\) −6.72092 + 0.690330i −0.442204 + 0.0454204i
\(232\) 0.115008 + 0.799895i 0.00755061 + 0.0525157i
\(233\) 5.61198 12.2885i 0.367653 0.805048i −0.631897 0.775052i \(-0.717724\pi\)
0.999550 0.0299953i \(-0.00954923\pi\)
\(234\) −0.251690 0.857177i −0.0164535 0.0560354i
\(235\) 5.84227 + 5.06236i 0.381108 + 0.330232i
\(236\) 4.07996 13.8951i 0.265583 0.904492i
\(237\) −10.5279 + 6.76587i −0.683860 + 0.439490i
\(238\) 1.25482 + 2.13794i 0.0813381 + 0.138582i
\(239\) −13.9147 16.0585i −0.900069 1.03874i −0.999047 0.0436456i \(-0.986103\pi\)
0.0989779 0.995090i \(-0.468443\pi\)
\(240\) 3.07808 4.78958i 0.198689 0.309166i
\(241\) 0.996136 6.92828i 0.0641667 0.446289i −0.932257 0.361796i \(-0.882164\pi\)
0.996424 0.0844935i \(-0.0269272\pi\)
\(242\) −0.236859 + 1.64739i −0.0152258 + 0.105898i
\(243\) −0.540641 + 0.841254i −0.0346821 + 0.0539664i
\(244\) 13.4813 + 15.5582i 0.863051 + 0.996014i
\(245\) −7.39034 10.0701i −0.472151 0.643358i
\(246\) −0.281551 + 0.180942i −0.0179511 + 0.0115364i
\(247\) −3.51976 + 11.9872i −0.223957 + 0.762728i
\(248\) 7.66067 + 6.63801i 0.486453 + 0.421514i
\(249\) −4.60571 15.6856i −0.291875 0.994035i
\(250\) 1.87742 4.11098i 0.118739 0.260001i
\(251\) −0.699522 4.86528i −0.0441534 0.307094i −0.999916 0.0129549i \(-0.995876\pi\)
0.955763 0.294139i \(-0.0950329\pi\)
\(252\) −4.90040 + 0.503337i −0.308696 + 0.0317073i
\(253\) 7.21311 9.89723i 0.453484 0.622234i
\(254\) 2.56837 0.161154
\(255\) 4.45367 0.640342i 0.278900 0.0400997i
\(256\) 2.51790 5.51343i 0.157369 0.344590i
\(257\) 6.02898 + 20.5328i 0.376077 + 1.28080i 0.902541 + 0.430604i \(0.141699\pi\)
−0.526464 + 0.850198i \(0.676482\pi\)
\(258\) −1.82526 + 2.10646i −0.113635 + 0.131142i
\(259\) −0.461582 + 2.49068i −0.0286813 + 0.154763i
\(260\) −4.31852 6.71975i −0.267823 0.416741i
\(261\) −0.233933 0.512242i −0.0144801 0.0317070i
\(262\) 3.62053 3.13721i 0.223677 0.193817i
\(263\) −5.13861 + 7.99583i −0.316860 + 0.493044i −0.962752 0.270385i \(-0.912849\pi\)
0.645892 + 0.763428i \(0.276485\pi\)
\(264\) 0.521525 3.62729i 0.0320977 0.223244i
\(265\) 15.4885 + 2.22691i 0.951450 + 0.136798i
\(266\) −4.55755 2.30846i −0.279441 0.141541i
\(267\) −5.44708 + 4.71992i −0.333356 + 0.288854i
\(268\) −16.1513 + 7.37606i −0.986599 + 0.450565i
\(269\) −6.73891 10.4859i −0.410878 0.639339i 0.572712 0.819757i \(-0.305891\pi\)
−0.983590 + 0.180418i \(0.942255\pi\)
\(270\) 0.186810 0.636215i 0.0113689 0.0387188i
\(271\) 15.7013 + 13.6053i 0.953786 + 0.826460i 0.984912 0.173055i \(-0.0553639\pi\)
−0.0311261 + 0.999515i \(0.509909\pi\)
\(272\) 7.71927 2.26658i 0.468049 0.137432i
\(273\) −2.03737 + 6.02574i −0.123307 + 0.364694i
\(274\) −5.53721 + 0.796131i −0.334515 + 0.0480960i
\(275\) 4.63694i 0.279618i
\(276\) 5.25927 7.21633i 0.316571 0.434372i
\(277\) 7.58961 0.456015 0.228008 0.973659i \(-0.426779\pi\)
0.228008 + 0.973659i \(0.426779\pi\)
\(278\) −0.0212075 + 0.00304918i −0.00127194 + 0.000182878i
\(279\) −6.42522 2.93430i −0.384668 0.175672i
\(280\) 6.27159 2.56298i 0.374799 0.153167i
\(281\) 22.1086 + 19.1573i 1.31889 + 1.14283i 0.979336 + 0.202240i \(0.0648220\pi\)
0.339555 + 0.940586i \(0.389723\pi\)
\(282\) 1.54458 + 0.453529i 0.0919782 + 0.0270072i
\(283\) 11.5659 7.43297i 0.687523 0.441844i −0.149681 0.988734i \(-0.547825\pi\)
0.837204 + 0.546890i \(0.184188\pi\)
\(284\) 4.39609 + 9.62608i 0.260860 + 0.571203i
\(285\) −7.00789 + 6.07237i −0.415111 + 0.359696i
\(286\) −1.91918 1.23338i −0.113483 0.0729312i
\(287\) 2.38101 + 0.0963527i 0.140547 + 0.00568752i
\(288\) 0.577184 4.01441i 0.0340109 0.236551i
\(289\) −8.95256 5.75346i −0.526621 0.338439i
\(290\) 0.244523 + 0.282195i 0.0143589 + 0.0165711i
\(291\) 0.0363726 0.0166108i 0.00213220 0.000973743i
\(292\) −7.24463 11.2729i −0.423960 0.659695i
\(293\) 14.7698 + 4.33681i 0.862861 + 0.253359i 0.683076 0.730347i \(-0.260642\pi\)
0.179785 + 0.983706i \(0.442460\pi\)
\(294\) −2.27102 1.26820i −0.132448 0.0739627i
\(295\) −3.91015 13.3167i −0.227658 0.775331i
\(296\) −1.24978 0.570756i −0.0726420 0.0331745i
\(297\) 0.363420 + 2.52764i 0.0210878 + 0.146669i
\(298\) 2.78578i 0.161376i
\(299\) −5.65486 10.0481i −0.327029 0.581095i
\(300\) 3.38091i 0.195197i
\(301\) 19.2521 4.81661i 1.10967 0.277625i
\(302\) −0.180184 + 0.394547i −0.0103684 + 0.0227036i
\(303\) 10.3006 3.02454i 0.591756 0.173755i
\(304\) −10.8575 + 12.5303i −0.622722 + 0.718659i
\(305\) 18.9305 + 5.55849i 1.08396 + 0.318278i
\(306\) 0.788229 0.506564i 0.0450601 0.0289583i
\(307\) 17.6123 8.04326i 1.00519 0.459053i 0.156346 0.987702i \(-0.450028\pi\)
0.848841 + 0.528649i \(0.177301\pi\)
\(308\) −8.61560 + 9.16621i −0.490920 + 0.522293i
\(309\) 1.14249 1.77774i 0.0649938 0.101132i
\(310\) 4.63598 + 0.666553i 0.263306 + 0.0378576i
\(311\) 0.717999 + 0.103233i 0.0407140 + 0.00585378i 0.162642 0.986685i \(-0.447999\pi\)
−0.121928 + 0.992539i \(0.538908\pi\)
\(312\) −2.90241 1.86527i −0.164317 0.105600i
\(313\) 7.23714 + 8.35210i 0.409067 + 0.472089i 0.922475 0.386056i \(-0.126163\pi\)
−0.513408 + 0.858144i \(0.671617\pi\)
\(314\) −2.67324 5.85359i −0.150860 0.330337i
\(315\) −3.69010 + 2.94490i −0.207914 + 0.165926i
\(316\) −6.56467 + 22.3572i −0.369292 + 1.25769i
\(317\) 17.1951 19.8443i 0.965776 1.11456i −0.0275961 0.999619i \(-0.508785\pi\)
0.993372 0.114945i \(-0.0366693\pi\)
\(318\) 3.12650 0.918023i 0.175325 0.0514801i
\(319\) −1.30808 0.597380i −0.0732384 0.0334469i
\(320\) −1.23779 8.60902i −0.0691946 0.481259i
\(321\) −14.4173 −0.804694
\(322\) 4.46151 1.52498i 0.248630 0.0849836i
\(323\) −13.1031 −0.729074
\(324\) 0.264979 + 1.84297i 0.0147211 + 0.102387i
\(325\) 3.97104 + 1.81351i 0.220273 + 0.100596i
\(326\) −0.0507860 + 0.0149121i −0.00281278 + 0.000825905i
\(327\) −12.5879 + 14.5272i −0.696110 + 0.803354i
\(328\) −0.364142 + 1.24015i −0.0201064 + 0.0684761i
\(329\) −7.14951 8.95868i −0.394165 0.493908i
\(330\) −0.703401 1.54023i −0.0387209 0.0847871i
\(331\) 17.0796 + 19.7109i 0.938778 + 1.08341i 0.996375 + 0.0850681i \(0.0271108\pi\)
−0.0575968 + 0.998340i \(0.518344\pi\)
\(332\) −25.6064 16.4562i −1.40533 0.903151i
\(333\) 0.947673 + 0.136255i 0.0519322 + 0.00746672i
\(334\) −0.867513 0.124730i −0.0474682 0.00682490i
\(335\) −9.20002 + 14.3155i −0.502651 + 0.782140i
\(336\) −5.78146 + 6.15094i −0.315404 + 0.335561i
\(337\) 10.3077 4.70736i 0.561495 0.256426i −0.114387 0.993436i \(-0.536490\pi\)
0.675882 + 0.737010i \(0.263763\pi\)
\(338\) 2.25696 1.45046i 0.122762 0.0788946i
\(339\) −9.38010 2.75424i −0.509457 0.149590i
\(340\) 5.48620 6.33141i 0.297531 0.343369i
\(341\) −17.3070 + 5.08181i −0.937229 + 0.275195i
\(342\) −0.802150 + 1.75646i −0.0433753 + 0.0949786i
\(343\) 8.05340 + 16.6776i 0.434843 + 0.900506i
\(344\) 10.7641i 0.580362i
\(345\) 0.501169 8.54313i 0.0269821 0.459947i
\(346\) 8.88639i 0.477735i
\(347\) −1.17274 8.15661i −0.0629562 0.437870i −0.996783 0.0801449i \(-0.974462\pi\)
0.933827 0.357725i \(-0.116447\pi\)
\(348\) −0.953755 0.435565i −0.0511266 0.0233487i
\(349\) −3.19107 10.8678i −0.170814 0.581739i −0.999749 0.0223944i \(-0.992871\pi\)
0.828935 0.559345i \(-0.188947\pi\)
\(350\) −1.02508 + 1.46154i −0.0547929 + 0.0781228i
\(351\) 2.30679 + 0.677334i 0.123127 + 0.0361534i
\(352\) −5.59928 8.71265i −0.298443 0.464386i
\(353\) −13.6324 + 6.22573i −0.725582 + 0.331362i −0.743736 0.668473i \(-0.766948\pi\)
0.0181545 + 0.999835i \(0.494221\pi\)
\(354\) −1.89265 2.18423i −0.100593 0.116091i
\(355\) 8.53195 + 5.48315i 0.452829 + 0.291016i
\(356\) −1.90984 + 13.2832i −0.101221 + 0.704010i
\(357\) −6.66586 0.269748i −0.352795 0.0142766i
\(358\) −6.66026 4.28029i −0.352006 0.226220i
\(359\) 0.858571 0.743956i 0.0453136 0.0392645i −0.631910 0.775042i \(-0.717729\pi\)
0.677223 + 0.735778i \(0.263183\pi\)
\(360\) −1.06377 2.32933i −0.0560656 0.122766i
\(361\) 6.73300 4.32703i 0.354368 0.227739i
\(362\) −1.42735 0.419107i −0.0750197 0.0220278i
\(363\) −3.38496 2.93309i −0.177664 0.153947i
\(364\) 4.48030 + 10.9633i 0.234832 + 0.574631i
\(365\) −11.6818 5.33491i −0.611455 0.279242i
\(366\) 4.06669 0.584701i 0.212569 0.0305628i
\(367\) 10.9999 0.574193 0.287096 0.957902i \(-0.407310\pi\)
0.287096 + 0.957902i \(0.407310\pi\)
\(368\) −1.28692 15.2473i −0.0670854 0.794823i
\(369\) 0.900674i 0.0468872i
\(370\) −0.628377 + 0.0903470i −0.0326678 + 0.00469692i
\(371\) −21.9785 7.43117i −1.14107 0.385807i
\(372\) −12.6190 + 3.70528i −0.654266 + 0.192110i
\(373\) 4.01889 + 3.48239i 0.208090 + 0.180311i 0.752670 0.658398i \(-0.228765\pi\)
−0.544580 + 0.838709i \(0.683311\pi\)
\(374\) 0.674095 2.29576i 0.0348566 0.118711i
\(375\) 6.57545 + 10.2316i 0.339555 + 0.528358i
\(376\) 5.65506 2.58258i 0.291637 0.133186i
\(377\) −1.02318 + 0.886593i −0.0526966 + 0.0456619i
\(378\) −0.444234 + 0.877044i −0.0228489 + 0.0451103i
\(379\) 3.63263 + 0.522294i 0.186596 + 0.0268284i 0.234979 0.972000i \(-0.424498\pi\)
−0.0483833 + 0.998829i \(0.515407\pi\)
\(380\) −2.45709 + 17.0894i −0.126046 + 0.876669i
\(381\) −3.73683 + 5.81462i −0.191444 + 0.297892i
\(382\) 0.473097 0.409941i 0.0242058 0.0209744i
\(383\) 3.90708 + 8.55531i 0.199642 + 0.437156i 0.982801 0.184666i \(-0.0591202\pi\)
−0.783159 + 0.621822i \(0.786393\pi\)
\(384\) −5.36454 8.34738i −0.273758 0.425975i
\(385\) −2.19687 + 11.8543i −0.111963 + 0.604149i
\(386\) −3.13975 + 3.62346i −0.159809 + 0.184429i
\(387\) −2.11324 7.19703i −0.107422 0.365846i
\(388\) 0.0309280 0.0677229i 0.00157013 0.00343811i
\(389\) −26.3967 + 3.79528i −1.33837 + 0.192428i −0.774047 0.633128i \(-0.781771\pi\)
−0.564320 + 0.825556i \(0.690862\pi\)
\(390\) −1.59415 −0.0807227
\(391\) 8.44071 8.65967i 0.426865 0.437938i
\(392\) −9.83559 + 2.04204i −0.496772 + 0.103139i
\(393\) 1.83477 + 12.7611i 0.0925519 + 0.643712i
\(394\) −1.97052 + 4.31484i −0.0992734 + 0.217378i
\(395\) 6.29145 + 21.4267i 0.316557 + 1.07809i
\(396\) 3.59334 + 3.11365i 0.180572 + 0.156467i
\(397\) 5.70211 19.4196i 0.286181 0.974642i −0.683436 0.730011i \(-0.739515\pi\)
0.969616 0.244631i \(-0.0786668\pi\)
\(398\) −0.180887 + 0.116249i −0.00906704 + 0.00582704i
\(399\) 11.8572 6.95933i 0.593601 0.348402i
\(400\) 3.79396 + 4.37846i 0.189698 + 0.218923i
\(401\) 15.3838 23.9377i 0.768231 1.19539i −0.207887 0.978153i \(-0.566659\pi\)
0.976119 0.217239i \(-0.0697050\pi\)
\(402\) −0.504306 + 3.50752i −0.0251525 + 0.174939i
\(403\) −2.41679 + 16.8091i −0.120389 + 0.837322i
\(404\) 10.8067 16.8155i 0.537653 0.836604i
\(405\) 1.16855 + 1.34858i 0.0580658 + 0.0670115i
\(406\) −0.280240 0.477467i −0.0139081 0.0236963i
\(407\) 2.05678 1.32181i 0.101951 0.0655197i
\(408\) 1.01945 3.47193i 0.0504703 0.171886i
\(409\) 1.84276 + 1.59676i 0.0911187 + 0.0789548i 0.699229 0.714898i \(-0.253527\pi\)
−0.608110 + 0.793852i \(0.708072\pi\)
\(410\) 0.168254 + 0.573022i 0.00830950 + 0.0282995i
\(411\) 6.25394 13.6942i 0.308484 0.675486i
\(412\) −0.559956 3.89458i −0.0275870 0.191872i
\(413\) 2.10259 + 20.4705i 0.103462 + 1.00729i
\(414\) −0.644099 1.66161i −0.0316558 0.0816636i
\(415\) −29.1715 −1.43197
\(416\) −9.65133 + 1.38765i −0.473195 + 0.0680352i
\(417\) 0.0239526 0.0524488i 0.00117296 0.00256843i
\(418\) 1.38921 + 4.73123i 0.0679487 + 0.231412i
\(419\) 25.0345 28.8914i 1.22302 1.41144i 0.341104 0.940026i \(-0.389199\pi\)
0.881913 0.471411i \(-0.156255\pi\)
\(420\) −1.60180 + 8.64324i −0.0781597 + 0.421747i
\(421\) −0.512484 0.797441i −0.0249770 0.0388649i 0.828541 0.559929i \(-0.189172\pi\)
−0.853518 + 0.521064i \(0.825535\pi\)
\(422\) −4.00474 8.76916i −0.194948 0.426876i
\(423\) −3.27403 + 2.83696i −0.159189 + 0.137938i
\(424\) 6.80344 10.5864i 0.330404 0.514119i
\(425\) −0.651606 + 4.53202i −0.0316075 + 0.219835i
\(426\) 2.09046 + 0.300563i 0.101283 + 0.0145623i
\(427\) −26.0963 13.2181i −1.26289 0.639669i
\(428\) −20.2872 + 17.5790i −0.980620 + 0.849712i
\(429\) 5.58458 2.55039i 0.269626 0.123134i
\(430\) 2.68895 + 4.18409i 0.129673 + 0.201775i
\(431\) −6.36192 + 21.6667i −0.306443 + 1.04365i 0.651966 + 0.758249i \(0.273945\pi\)
−0.958408 + 0.285400i \(0.907874\pi\)
\(432\) 2.41129 + 2.08940i 0.116013 + 0.100526i
\(433\) 17.6227 5.17450i 0.846894 0.248671i 0.170635 0.985334i \(-0.445418\pi\)
0.676259 + 0.736664i \(0.263600\pi\)
\(434\) −6.57854 2.22428i −0.315780 0.106769i
\(435\) −0.994639 + 0.143007i −0.0476893 + 0.00685668i
\(436\) 35.7902i 1.71404i
\(437\) −4.98523 + 24.4178i −0.238476 + 1.16806i
\(438\) −2.67429 −0.127783
\(439\) −11.4367 + 1.64435i −0.545844 + 0.0784806i −0.409720 0.912211i \(-0.634374\pi\)
−0.136124 + 0.990692i \(0.543465\pi\)
\(440\) −5.94826 2.71648i −0.283572 0.129503i
\(441\) 6.17531 3.29629i 0.294063 0.156966i
\(442\) −1.70243 1.47516i −0.0809763 0.0701664i
\(443\) 21.5258 + 6.32053i 1.02272 + 0.300298i 0.749747 0.661724i \(-0.230175\pi\)
0.272972 + 0.962022i \(0.411993\pi\)
\(444\) 1.49965 0.963766i 0.0711702 0.0457383i
\(445\) 5.34277 + 11.6990i 0.253272 + 0.554588i
\(446\) −0.652889 + 0.565732i −0.0309152 + 0.0267882i
\(447\) 6.30682 + 4.05315i 0.298302 + 0.191707i
\(448\) −0.521428 + 12.8852i −0.0246352 + 0.608769i
\(449\) 1.77506 12.3458i 0.0837702 0.582634i −0.904096 0.427329i \(-0.859455\pi\)
0.987866 0.155306i \(-0.0496362\pi\)
\(450\) 0.567626 + 0.364791i 0.0267581 + 0.0171964i
\(451\) −1.50617 1.73822i −0.0709230 0.0818495i
\(452\) −16.5574 + 7.56152i −0.778795 + 0.355664i
\(453\) −0.631072 0.981968i −0.0296504 0.0461369i
\(454\) −2.99940 0.880703i −0.140769 0.0413334i
\(455\) 9.29269 + 6.51760i 0.435648 + 0.305550i
\(456\) 2.10094 + 7.15515i 0.0983855 + 0.335070i
\(457\) −36.0433 16.4604i −1.68604 0.769987i −0.999062 0.0433046i \(-0.986211\pi\)
−0.686974 0.726682i \(-0.741061\pi\)
\(458\) −0.148547 1.03317i −0.00694115 0.0482767i
\(459\) 2.52152i 0.117695i
\(460\) −9.71141 12.6325i −0.452797 0.588994i
\(461\) 30.8822i 1.43833i −0.694842 0.719163i \(-0.744526\pi\)
0.694842 0.719163i \(-0.255474\pi\)
\(462\) 0.609328 + 2.43550i 0.0283485 + 0.113309i
\(463\) 3.02205 6.61736i 0.140446 0.307535i −0.826318 0.563204i \(-0.809569\pi\)
0.966764 + 0.255669i \(0.0822958\pi\)
\(464\) −1.72394 + 0.506196i −0.0800321 + 0.0234995i
\(465\) −8.25411 + 9.52575i −0.382775 + 0.441746i
\(466\) −4.81658 1.41427i −0.223124 0.0655150i
\(467\) 13.0534 8.38891i 0.604039 0.388192i −0.202578 0.979266i \(-0.564932\pi\)
0.806618 + 0.591074i \(0.201296\pi\)
\(468\) 4.07186 1.85956i 0.188222 0.0859580i
\(469\) 17.2801 18.3844i 0.797921 0.848915i
\(470\) 1.55301 2.41654i 0.0716352 0.111467i
\(471\) 17.1416 + 2.46458i 0.789841 + 0.113562i
\(472\) −11.0479 1.58845i −0.508522 0.0731144i
\(473\) −16.1138 10.3557i −0.740912 0.476155i
\(474\) 3.04528 + 3.51444i 0.139874 + 0.161423i
\(475\) −3.91981 8.58318i −0.179853 0.393823i
\(476\) −9.70875 + 7.74810i −0.445000 + 0.355134i
\(477\) −2.47053 + 8.41386i −0.113118 + 0.385244i
\(478\) −5.17056 + 5.96715i −0.236496 + 0.272931i
\(479\) −30.2691 + 8.88781i −1.38303 + 0.406094i −0.886823 0.462109i \(-0.847093\pi\)
−0.496208 + 0.868204i \(0.665275\pi\)
\(480\) −6.58308 3.00639i −0.300475 0.137222i
\(481\) −0.327580 2.27837i −0.0149364 0.103885i
\(482\) −2.60095 −0.118470
\(483\) −3.03879 + 12.3193i −0.138270 + 0.560549i
\(484\) −8.33945 −0.379066
\(485\) −0.0101545 0.0706260i −0.000461091 0.00320696i
\(486\) 0.338009 + 0.154364i 0.0153324 + 0.00700208i
\(487\) 4.40411 1.29316i 0.199569 0.0585988i −0.180420 0.983590i \(-0.557746\pi\)
0.379989 + 0.924991i \(0.375928\pi\)
\(488\) 10.3905 11.9913i 0.470356 0.542820i
\(489\) 0.0401306 0.136672i 0.00181477 0.00618054i
\(490\) −3.31305 + 3.25075i −0.149668 + 0.146854i
\(491\) 10.8460 + 23.7494i 0.489474 + 1.07180i 0.979749 + 0.200230i \(0.0641689\pi\)
−0.490275 + 0.871568i \(0.663104\pi\)
\(492\) −1.09819 1.26738i −0.0495103 0.0571379i
\(493\) −1.19454 0.767681i −0.0537992 0.0345746i
\(494\) 4.59511 + 0.660677i 0.206744 + 0.0297253i
\(495\) 4.51040 + 0.648497i 0.202727 + 0.0291478i
\(496\) −12.1844 + 18.9592i −0.547094 + 0.851295i
\(497\) −10.9570 10.2988i −0.491489 0.461966i
\(498\) −5.52571 + 2.52351i −0.247613 + 0.113081i
\(499\) −35.2736 + 22.6690i −1.57906 + 1.01480i −0.602886 + 0.797827i \(0.705983\pi\)
−0.976177 + 0.216975i \(0.930381\pi\)
\(500\) 21.7280 + 6.37992i 0.971706 + 0.285319i
\(501\) 1.54456 1.78252i 0.0690059 0.0796370i
\(502\) −1.75249 + 0.514578i −0.0782176 + 0.0229667i
\(503\) 8.07258 17.6765i 0.359939 0.788155i −0.639868 0.768485i \(-0.721011\pi\)
0.999807 0.0196706i \(-0.00626175\pi\)
\(504\) 0.921501 + 3.68326i 0.0410469 + 0.164065i
\(505\) 19.1567i 0.852463i
\(506\) −4.02172 2.12964i −0.178787 0.0946740i
\(507\) 7.21995i 0.320649i
\(508\) 1.83150 + 12.7383i 0.0812595 + 0.565172i
\(509\) 28.4261 + 12.9818i 1.25996 + 0.575406i 0.929643 0.368463i \(-0.120116\pi\)
0.330321 + 0.943869i \(0.392843\pi\)
\(510\) −0.471044 1.60423i −0.0208582 0.0710364i
\(511\) 15.5892 + 10.9337i 0.689624 + 0.483680i
\(512\) −21.2023 6.22555i −0.937017 0.275133i
\(513\) −2.80944 4.37157i −0.124040 0.193009i
\(514\) 7.23328 3.30333i 0.319046 0.145704i
\(515\) −2.46939 2.84983i −0.108814 0.125578i
\(516\) −11.7490 7.55061i −0.517220 0.332397i
\(517\) −1.57440 + 10.9502i −0.0692418 + 0.481587i
\(518\) 0.940499 + 0.0380593i 0.0413232 + 0.00167223i
\(519\) −20.1182 12.9292i −0.883091 0.567528i
\(520\) −4.65274 + 4.03163i −0.204036 + 0.176798i
\(521\) −12.7799 27.9840i −0.559897 1.22600i −0.952005 0.306084i \(-0.900981\pi\)
0.392108 0.919919i \(-0.371746\pi\)
\(522\) −0.176035 + 0.113131i −0.00770485 + 0.00495161i
\(523\) −39.9177 11.7209i −1.74548 0.512519i −0.755673 0.654949i \(-0.772690\pi\)
−0.989805 + 0.142430i \(0.954508\pi\)
\(524\) 18.1414 + 15.7196i 0.792510 + 0.686714i
\(525\) −1.81741 4.44718i −0.0793181 0.194091i
\(526\) 3.21266 + 1.46717i 0.140079 + 0.0639718i
\(527\) −17.6296 + 2.53475i −0.767956 + 0.110415i
\(528\) 8.14761 0.354579
\(529\) −12.9261 19.0241i −0.562003 0.827135i
\(530\) 5.81454i 0.252567i
\(531\) 7.69865 1.10690i 0.334093 0.0480353i
\(532\) 8.19927 24.2502i 0.355484 1.05138i
\(533\) −2.07766 + 0.610057i −0.0899936 + 0.0264245i
\(534\) 2.02407 + 1.75387i 0.0875902 + 0.0758974i
\(535\) −7.24802 + 24.6845i −0.313359 + 1.06720i
\(536\) 7.39871 + 11.5126i 0.319576 + 0.497269i
\(537\) 19.3806 8.85082i 0.836335 0.381941i
\(538\) −3.50043 + 3.03314i −0.150914 + 0.130768i
\(539\) 6.40549 16.6884i 0.275904 0.718818i
\(540\) 3.28865 + 0.472836i 0.141521 + 0.0203476i
\(541\) −2.94050 + 20.4516i −0.126422 + 0.879285i 0.823615 + 0.567149i \(0.191954\pi\)
−0.950037 + 0.312136i \(0.898956\pi\)
\(542\) 4.17378 6.49453i 0.179279 0.278964i
\(543\) 3.02554 2.62164i 0.129838 0.112506i
\(544\) −4.24824 9.30235i −0.182142 0.398835i
\(545\) 18.5443 + 28.8555i 0.794351 + 1.23603i
\(546\) 2.32405 + 0.430701i 0.0994601 + 0.0184323i
\(547\) 17.0697 19.6995i 0.729847 0.842288i −0.262608 0.964903i \(-0.584582\pi\)
0.992454 + 0.122615i \(0.0391279\pi\)
\(548\) −7.89714 26.8952i −0.337349 1.14891i
\(549\) −4.59307 + 10.0574i −0.196028 + 0.429240i
\(550\) 1.70550 0.245213i 0.0727226 0.0104559i
\(551\) 2.92631 0.124665
\(552\) −6.08214 3.22070i −0.258873 0.137082i
\(553\) −3.38308 32.9371i −0.143863 1.40063i
\(554\) −0.401359 2.79151i −0.0170521 0.118600i
\(555\) 0.709713 1.55405i 0.0301256 0.0659659i
\(556\) −0.0302460 0.103009i −0.00128272 0.00436854i
\(557\) 7.32080 + 6.34351i 0.310192 + 0.268783i 0.796018 0.605272i \(-0.206936\pi\)
−0.485826 + 0.874055i \(0.661481\pi\)
\(558\) −0.739473 + 2.51841i −0.0313044 + 0.106613i
\(559\) −15.1707 + 9.74959i −0.641651 + 0.412364i
\(560\) 7.62478 + 12.9910i 0.322206 + 0.548968i
\(561\) 4.21668 + 4.86630i 0.178028 + 0.205456i
\(562\) 5.87700 9.14480i 0.247906 0.385750i
\(563\) −5.47881 + 38.1059i −0.230904 + 1.60597i 0.463304 + 0.886200i \(0.346664\pi\)
−0.694208 + 0.719775i \(0.744245\pi\)
\(564\) −1.14793 + 7.98404i −0.0483367 + 0.336189i
\(565\) −9.43134 + 14.6754i −0.396779 + 0.617401i
\(566\) −3.34554 3.86095i −0.140623 0.162288i
\(567\) −1.33924 2.28176i −0.0562426 0.0958251i
\(568\) 6.86145 4.40959i 0.287900 0.185022i
\(569\) 6.52215 22.2124i 0.273423 0.931193i −0.702244 0.711936i \(-0.747819\pi\)
0.975667 0.219257i \(-0.0703632\pi\)
\(570\) 2.60405 + 2.25643i 0.109072 + 0.0945113i
\(571\) 2.96711 + 10.1051i 0.124170 + 0.422884i 0.997990 0.0633649i \(-0.0201832\pi\)
−0.873821 + 0.486248i \(0.838365\pi\)
\(572\) 4.74863 10.3980i 0.198550 0.434764i
\(573\) 0.239751 + 1.66750i 0.0100157 + 0.0696609i
\(574\) −0.0904750 0.880847i −0.00377635 0.0367659i
\(575\) 8.19759 + 2.93854i 0.341863 + 0.122546i
\(576\) 4.87414 0.203089
\(577\) −16.6114 + 2.38836i −0.691543 + 0.0994289i −0.479121 0.877749i \(-0.659044\pi\)
−0.212422 + 0.977178i \(0.568135\pi\)
\(578\) −1.64273 + 3.59707i −0.0683285 + 0.149619i
\(579\) −3.63513 12.3801i −0.151071 0.514500i
\(580\) −1.22523 + 1.41399i −0.0508751 + 0.0587129i
\(581\) 42.5281 + 7.88146i 1.76436 + 0.326978i
\(582\) −0.00803305 0.0124997i −0.000332981 0.000518128i
\(583\) 9.30239 + 20.3694i 0.385265 + 0.843614i
\(584\) −7.80531 + 6.76334i −0.322986 + 0.279869i
\(585\) 2.31939 3.60904i 0.0958950 0.149215i
\(586\) 0.814041 5.66178i 0.0336277 0.233886i
\(587\) −7.90217 1.13616i −0.326157 0.0468944i −0.0227087 0.999742i \(-0.507229\pi\)
−0.303449 + 0.952848i \(0.598138\pi\)
\(588\) 4.67041 12.1679i 0.192604 0.501796i
\(589\) 27.7403 24.0371i 1.14302 0.990430i
\(590\) −4.69121 + 2.14241i −0.193134 + 0.0882014i
\(591\) −6.90152 10.7390i −0.283890 0.441742i
\(592\) 0.860618 2.93099i 0.0353712 0.120463i
\(593\) −22.2131 19.2478i −0.912184 0.790412i 0.0660716 0.997815i \(-0.478953\pi\)
−0.978256 + 0.207403i \(0.933499\pi\)
\(594\) 0.910466 0.267337i 0.0373569 0.0109690i
\(595\) −3.81299 + 11.2773i −0.156317 + 0.462325i
\(596\) 13.8166 1.98653i 0.565951 0.0813714i
\(597\) 0.578652i 0.0236826i
\(598\) −3.39671 + 2.61126i −0.138902 + 0.106783i
\(599\) −15.4770 −0.632373 −0.316187 0.948697i \(-0.602403\pi\)
−0.316187 + 0.948697i \(0.602403\pi\)
\(600\) 2.57926 0.370842i 0.105298 0.0151396i
\(601\) −0.0889384 0.0406168i −0.00362787 0.00165679i 0.413600 0.910459i \(-0.364271\pi\)
−0.417228 + 0.908802i \(0.636998\pi\)
\(602\) −2.78968 6.82632i −0.113699 0.278220i
\(603\) −7.20707 6.24496i −0.293495 0.254315i
\(604\) −2.08532 0.612306i −0.0848506 0.0249144i
\(605\) −6.72360 + 4.32100i −0.273353 + 0.175673i
\(606\) −1.65717 3.62870i −0.0673180 0.147406i
\(607\) 0.800830 0.693923i 0.0325047 0.0281655i −0.638457 0.769658i \(-0.720427\pi\)
0.670962 + 0.741492i \(0.265882\pi\)
\(608\) 17.7297 + 11.3942i 0.719034 + 0.462095i
\(609\) 1.48869 + 0.0602429i 0.0603246 + 0.00244117i
\(610\) 1.04336 7.25671i 0.0422443 0.293816i
\(611\) 8.76188 + 5.63092i 0.354468 + 0.227803i
\(612\) 3.07449 + 3.54815i 0.124279 + 0.143425i
\(613\) −15.9158 + 7.26850i −0.642833 + 0.293572i −0.710034 0.704167i \(-0.751320\pi\)
0.0672008 + 0.997739i \(0.478593\pi\)
\(614\) −3.88975 6.05257i −0.156978 0.244262i
\(615\) −1.54209 0.452797i −0.0621829 0.0182585i
\(616\) 7.93783 + 5.56734i 0.319824 + 0.224315i
\(617\) −5.41310 18.4353i −0.217923 0.742178i −0.993789 0.111280i \(-0.964505\pi\)
0.775866 0.630898i \(-0.217313\pi\)
\(618\) −0.714284 0.326202i −0.0287327 0.0131218i
\(619\) 5.05833 + 35.1815i 0.203311 + 1.41406i 0.794370 + 0.607434i \(0.207801\pi\)
−0.591059 + 0.806628i \(0.701290\pi\)
\(620\) 23.4684i 0.942512i
\(621\) 4.69890 + 0.959345i 0.188560 + 0.0384972i
\(622\) 0.269544i 0.0108077i
\(623\) −4.62823 18.4991i −0.185426 0.741151i
\(624\) 3.18654 6.97756i 0.127564 0.279326i
\(625\) 12.1124 3.55651i 0.484495 0.142260i
\(626\) 2.68924 3.10355i 0.107484 0.124043i
\(627\) −12.7324 3.73858i −0.508484 0.149304i
\(628\) 27.1257 17.4327i 1.08243 0.695639i
\(629\) 2.19599 1.00287i 0.0875598 0.0399872i
\(630\) 1.27830 + 1.20151i 0.0509286 + 0.0478693i
\(631\) 16.1381 25.1113i 0.642447 0.999667i −0.355441 0.934699i \(-0.615669\pi\)
0.997887 0.0649677i \(-0.0206944\pi\)
\(632\) 17.7762 + 2.55583i 0.707098 + 0.101665i
\(633\) 25.6795 + 3.69215i 1.02067 + 0.146750i
\(634\) −8.20818 5.27508i −0.325988 0.209500i
\(635\) 8.07686 + 9.32119i 0.320520 + 0.369900i
\(636\) 6.78261 + 14.8518i 0.268948 + 0.588914i
\(637\) −11.7866 12.0125i −0.467001 0.475951i
\(638\) −0.150546 + 0.512712i −0.00596016 + 0.0202984i
\(639\) −3.72196 + 4.29537i −0.147238 + 0.169922i
\(640\) −16.9889 + 4.98838i −0.671543 + 0.197183i
\(641\) 7.26388 + 3.31730i 0.286906 + 0.131026i 0.553670 0.832736i \(-0.313227\pi\)
−0.266764 + 0.963762i \(0.585954\pi\)
\(642\) 0.762424 + 5.30277i 0.0300905 + 0.209284i
\(643\) −49.9189 −1.96861 −0.984305 0.176475i \(-0.943530\pi\)
−0.984305 + 0.176475i \(0.943530\pi\)
\(644\) 10.7449 + 21.0403i 0.423409 + 0.829104i
\(645\) −13.3848 −0.527024
\(646\) 0.692925 + 4.81940i 0.0272628 + 0.189617i
\(647\) 31.2141 + 14.2550i 1.22715 + 0.560422i 0.920255 0.391320i \(-0.127981\pi\)
0.306899 + 0.951742i \(0.400709\pi\)
\(648\) 1.37692 0.404300i 0.0540905 0.0158824i
\(649\) 13.0066 15.0105i 0.510555 0.589212i
\(650\) 0.457023 1.55648i 0.0179259 0.0610501i
\(651\) 14.6070 11.6572i 0.572494 0.456881i
\(652\) −0.110175 0.241249i −0.00431478 0.00944806i
\(653\) 18.8137 + 21.7122i 0.736237 + 0.849663i 0.993159 0.116769i \(-0.0372537\pi\)
−0.256922 + 0.966432i \(0.582708\pi\)
\(654\) 6.00887 + 3.86167i 0.234965 + 0.151003i
\(655\) 22.7713 + 3.27401i 0.889747 + 0.127926i
\(656\) −2.84444 0.408968i −0.111057 0.0159675i
\(657\) 3.89094 6.05443i 0.151800 0.236206i
\(658\) −2.91698 + 3.10340i −0.113716 + 0.120983i
\(659\) −16.2536 + 7.42277i −0.633151 + 0.289150i −0.706021 0.708191i \(-0.749511\pi\)
0.0728700 + 0.997341i \(0.476784\pi\)
\(660\) 7.13750 4.58699i 0.277827 0.178548i
\(661\) −16.7127 4.90728i −0.650047 0.190871i −0.0599474 0.998202i \(-0.519093\pi\)
−0.590099 + 0.807331i \(0.700911\pi\)
\(662\) 6.34658 7.32435i 0.246667 0.284669i
\(663\) 5.81661 1.70791i 0.225899 0.0663298i
\(664\) −9.74559 + 21.3399i −0.378202 + 0.828147i
\(665\) −5.95441 23.7999i −0.230902 0.922920i
\(666\) 0.355766i 0.0137857i
\(667\) −1.88506 + 1.93396i −0.0729900 + 0.0748834i
\(668\) 4.39155i 0.169914i
\(669\) −0.330863 2.30121i −0.0127919 0.0889698i
\(670\) 5.75186 + 2.62679i 0.222214 + 0.101482i
\(671\) 7.95457 + 27.0908i 0.307083 + 1.04583i
\(672\) 8.78498 + 6.16151i 0.338888 + 0.237685i
\(673\) 47.4059 + 13.9196i 1.82736 + 0.536563i 0.999696 0.0246546i \(-0.00784859\pi\)
0.827669 + 0.561217i \(0.189667\pi\)
\(674\) −2.27650 3.54230i −0.0876873 0.136444i
\(675\) −1.65173 + 0.754318i −0.0635750 + 0.0290337i
\(676\) 8.80328 + 10.1595i 0.338588 + 0.390751i
\(677\) −11.0679 7.11292i −0.425375 0.273372i 0.310389 0.950609i \(-0.399541\pi\)
−0.735764 + 0.677238i \(0.763177\pi\)
\(678\) −0.516986 + 3.59572i −0.0198547 + 0.138093i
\(679\) −0.00427765 + 0.105707i −0.000164161 + 0.00405665i
\(680\) −5.43194 3.49089i −0.208305 0.133870i
\(681\) 6.35781 5.50907i 0.243632 0.211108i
\(682\) 2.78437 + 6.09691i 0.106619 + 0.233463i
\(683\) 15.8821 10.2068i 0.607711 0.390552i −0.200287 0.979737i \(-0.564188\pi\)
0.807998 + 0.589185i \(0.200551\pi\)
\(684\) −9.28354 2.72589i −0.354965 0.104227i
\(685\) −20.3024 17.5922i −0.775717 0.672162i
\(686\) 5.70826 3.84405i 0.217942 0.146767i
\(687\) 2.55515 + 1.16690i 0.0974851 + 0.0445199i
\(688\) −23.6886 + 3.40591i −0.903121 + 0.129849i
\(689\) 21.0824 0.803174
\(690\) −3.16872 + 0.267450i −0.120631 + 0.0101816i
\(691\) 33.6433i 1.27985i 0.768437 + 0.639925i \(0.221035\pi\)
−0.768437 + 0.639925i \(0.778965\pi\)
\(692\) −44.0738 + 6.33686i −1.67544 + 0.240891i
\(693\) −6.40034 2.16403i −0.243129 0.0822046i
\(694\) −2.93804 + 0.862686i −0.111526 + 0.0327471i
\(695\) −0.0777583 0.0673780i −0.00294954 0.00255579i
\(696\) −0.227674 + 0.775386i −0.00862995 + 0.0293909i
\(697\) −1.22783 1.91054i −0.0465075 0.0723670i
\(698\) −3.82849 + 1.74841i −0.144911 + 0.0661784i
\(699\) 10.2097 8.84673i 0.386165 0.334614i
\(700\) −7.97980 4.04187i −0.301608 0.152768i
\(701\) 2.11726 + 0.304416i 0.0799678 + 0.0114976i 0.182183 0.983265i \(-0.441684\pi\)
−0.102215 + 0.994762i \(0.532593\pi\)
\(702\) 0.127139 0.884272i 0.00479856 0.0333747i
\(703\) −2.68980 + 4.18542i −0.101448 + 0.157856i
\(704\) 9.40665 8.15091i 0.354526 0.307199i
\(705\) 3.21134 + 7.03185i 0.120946 + 0.264835i
\(706\) 3.01079 + 4.68487i 0.113312 + 0.176318i
\(707\) −5.17571 + 27.9279i −0.194652 + 1.05034i
\(708\) 9.48348 10.9445i 0.356411 0.411320i
\(709\) −9.68905 32.9979i −0.363880 1.23926i −0.914528 0.404523i \(-0.867437\pi\)
0.550648 0.834738i \(-0.314381\pi\)
\(710\) 1.56555 3.42807i 0.0587540 0.128653i
\(711\) −12.3872 + 1.78100i −0.464555 + 0.0667929i
\(712\) 10.3431 0.387625
\(713\) −1.98385 + 33.8174i −0.0742956 + 1.26647i
\(714\) 0.253293 + 2.46601i 0.00947925 + 0.0922883i
\(715\) −1.55910 10.8438i −0.0583070 0.405534i
\(716\) 16.4795 36.0852i 0.615869 1.34857i
\(717\) −5.98636 20.3877i −0.223565 0.761392i
\(718\) −0.319036 0.276446i −0.0119063 0.0103169i
\(719\) −5.62214 + 19.1473i −0.209670 + 0.714072i 0.785756 + 0.618537i \(0.212274\pi\)
−0.995426 + 0.0955349i \(0.969544\pi\)
\(720\) 4.78958 3.07808i 0.178497 0.114713i
\(721\) 2.83008 + 4.82184i 0.105398 + 0.179575i
\(722\) −1.94757 2.24762i −0.0724811 0.0836476i
\(723\) 3.78423 5.88837i 0.140737 0.218991i
\(724\) 1.06081 7.37807i 0.0394246 0.274204i
\(725\) 0.145523 1.01214i 0.00540459 0.0375898i
\(726\) −0.899804 + 1.40012i −0.0333949 + 0.0519634i
\(727\) −15.5015 17.8897i −0.574918 0.663490i 0.391586 0.920141i \(-0.371926\pi\)
−0.966504 + 0.256651i \(0.917381\pi\)
\(728\) 7.87233 4.62050i 0.291768 0.171247i
\(729\) −0.841254 + 0.540641i −0.0311575 + 0.0200237i
\(730\) −1.34445 + 4.57878i −0.0497604 + 0.169468i
\(731\) −14.2939 12.3858i −0.528681 0.458104i
\(732\) 5.79989 + 19.7526i 0.214370 + 0.730077i
\(733\) 8.72201 19.0985i 0.322155 0.705420i −0.677389 0.735625i \(-0.736889\pi\)
0.999544 + 0.0302045i \(0.00961587\pi\)
\(734\) −0.581706 4.04586i −0.0214712 0.149335i
\(735\) −2.53920 12.2302i −0.0936598 0.451117i
\(736\) −18.9514 + 4.37747i −0.698558 + 0.161356i
\(737\) −24.3523 −0.897028
\(738\) −0.331274 + 0.0476300i −0.0121944 + 0.00175329i
\(739\) 13.5382 29.6445i 0.498011 1.09049i −0.479100 0.877760i \(-0.659037\pi\)
0.977111 0.212731i \(-0.0682359\pi\)
\(740\) −0.896188 3.05213i −0.0329445 0.112199i
\(741\) −8.18135 + 9.44178i −0.300549 + 0.346853i
\(742\) −1.57095 + 8.47681i −0.0576716 + 0.311194i
\(743\) 11.7472 + 18.2789i 0.430962 + 0.670589i 0.987028 0.160549i \(-0.0513263\pi\)
−0.556066 + 0.831138i \(0.687690\pi\)
\(744\) 4.21086 + 9.22050i 0.154378 + 0.338040i
\(745\) 10.1102 8.76055i 0.370410 0.320962i
\(746\) 1.06832 1.66233i 0.0391138 0.0608623i
\(747\) 2.32654 16.1814i 0.0851235 0.592047i
\(748\) 11.8670 + 1.70621i 0.433899 + 0.0623853i
\(749\) 17.2358 34.0284i 0.629783 1.24337i
\(750\) 3.41553 2.95957i 0.124717 0.108068i
\(751\) −9.81327 + 4.48157i −0.358091 + 0.163535i −0.586334 0.810069i \(-0.699429\pi\)
0.228243 + 0.973604i \(0.426702\pi\)
\(752\) 7.47283 + 11.6280i 0.272506 + 0.424028i
\(753\) 1.38480 4.71621i 0.0504651 0.171868i
\(754\) 0.380204 + 0.329448i 0.0138462 + 0.0119978i
\(755\) −1.99853 + 0.586822i −0.0727340 + 0.0213566i
\(756\) −4.66665 1.57785i −0.169725 0.0573858i
\(757\) 2.93346 0.421767i 0.106618 0.0153294i −0.0887992 0.996050i \(-0.528303\pi\)
0.195417 + 0.980720i \(0.437394\pi\)
\(758\) 1.36373i 0.0495328i
\(759\) 10.6727 6.00641i 0.387396 0.218019i
\(760\) 13.3069 0.482691
\(761\) 32.8714 4.72619i 1.19159 0.171324i 0.482147 0.876090i \(-0.339857\pi\)
0.709440 + 0.704766i \(0.248948\pi\)
\(762\) 2.33627 + 1.06694i 0.0846341 + 0.0386511i
\(763\) −19.2390 47.0777i −0.696499 1.70433i
\(764\) 2.37055 + 2.05409i 0.0857635 + 0.0743145i
\(765\) 4.31721 + 1.26765i 0.156089 + 0.0458319i
\(766\) 2.94009 1.88948i 0.106230 0.0682696i
\(767\) −7.76793 17.0094i −0.280484 0.614174i
\(768\) 4.58073 3.96922i 0.165293 0.143227i
\(769\) 30.4788 + 19.5875i 1.09909 + 0.706344i 0.958890 0.283779i \(-0.0915882\pi\)
0.140203 + 0.990123i \(0.455225\pi\)
\(770\) 4.47625 + 0.181141i 0.161313 + 0.00652787i
\(771\) −3.04549 + 21.1818i −0.109681 + 0.762845i
\(772\) −20.2102 12.9883i −0.727381 0.467460i