Properties

Label 41.2.g.a.8.3
Level 41
Weight 2
Character 41.8
Analytic conductor 0.327
Analytic rank 0
Dimension 24
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 41 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 41.g (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.327386648287\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(3\) over \(\Q(\zeta_{20})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 8.3
Character \(\chi\) = 41.8
Dual form 41.2.g.a.36.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.746800 - 1.02788i) q^{2} +(-0.604406 - 0.604406i) q^{3} +(0.119203 + 0.366868i) q^{4} +(-3.27974 + 1.06565i) q^{5} +(-1.07263 + 0.169888i) q^{6} +(1.70635 + 0.270260i) q^{7} +(2.88281 + 0.936683i) q^{8} -2.26939i q^{9} +O(q^{10})\) \(q+(0.746800 - 1.02788i) q^{2} +(-0.604406 - 0.604406i) q^{3} +(0.119203 + 0.366868i) q^{4} +(-3.27974 + 1.06565i) q^{5} +(-1.07263 + 0.169888i) q^{6} +(1.70635 + 0.270260i) q^{7} +(2.88281 + 0.936683i) q^{8} -2.26939i q^{9} +(-1.35394 + 4.16701i) q^{10} +(-3.99164 + 2.03384i) q^{11} +(0.149691 - 0.293784i) q^{12} +(-0.380129 - 2.40004i) q^{13} +(1.55210 - 1.55210i) q^{14} +(2.62638 + 1.33821i) q^{15} +(2.49153 - 1.81020i) q^{16} +(-0.138725 - 0.272263i) q^{17} +(-2.33266 - 1.69478i) q^{18} +(0.274489 - 1.73306i) q^{19} +(-0.781908 - 1.07620i) q^{20} +(-0.867983 - 1.19468i) q^{21} +(-0.890407 + 5.62181i) q^{22} +(3.75048 + 2.72488i) q^{23} +(-1.17625 - 2.30853i) q^{24} +(5.57599 - 4.05119i) q^{25} +(-2.75084 - 1.40162i) q^{26} +(-3.18485 + 3.18485i) q^{27} +(0.104252 + 0.658222i) q^{28} +(4.39273 - 8.62121i) q^{29} +(3.33690 - 1.70024i) q^{30} +(-2.28469 + 7.03157i) q^{31} +2.14948i q^{32} +(3.64184 + 1.18331i) q^{33} +(-0.383454 - 0.0607331i) q^{34} +(-5.88439 + 0.931996i) q^{35} +(0.832566 - 0.270517i) q^{36} +(2.28152 + 7.02179i) q^{37} +(-1.57639 - 1.57639i) q^{38} +(-1.22085 + 1.68035i) q^{39} -10.4531 q^{40} +(-5.99000 - 2.26271i) q^{41} -1.87620 q^{42} +(-1.53275 + 2.10964i) q^{43} +(-1.22197 - 1.22197i) q^{44} +(2.41838 + 7.44299i) q^{45} +(5.60172 - 1.82011i) q^{46} +(6.25754 - 0.991097i) q^{47} +(-2.60000 - 0.411799i) q^{48} +(-3.81880 - 1.24080i) q^{49} -8.75689i q^{50} +(-0.0807112 + 0.248404i) q^{51} +(0.835185 - 0.425548i) q^{52} +(-0.556161 + 1.09153i) q^{53} +(0.895204 + 5.65210i) q^{54} +(10.9242 - 10.9242i) q^{55} +(4.66595 + 2.37742i) q^{56} +(-1.21337 + 0.881567i) q^{57} +(-5.58110 - 10.9535i) q^{58} +(2.66945 + 1.93947i) q^{59} +(-0.177874 + 1.12305i) q^{60} +(-0.655043 - 0.901590i) q^{61} +(5.52141 + 7.59957i) q^{62} +(0.613323 - 3.87237i) q^{63} +(7.19247 + 5.22564i) q^{64} +(3.80433 + 7.46641i) q^{65} +(3.93602 - 2.85969i) q^{66} +(-9.09493 - 4.63410i) q^{67} +(0.0833482 - 0.0833482i) q^{68} +(-0.619877 - 3.91375i) q^{69} +(-3.43648 + 6.74448i) q^{70} +(0.475905 - 0.242486i) q^{71} +(2.12570 - 6.54222i) q^{72} -8.56300i q^{73} +(8.92141 + 2.89874i) q^{74} +(-5.81873 - 0.921596i) q^{75} +(0.668523 - 0.105884i) q^{76} +(-7.36081 + 2.39167i) q^{77} +(0.815474 + 2.50977i) q^{78} +(-6.09837 - 6.09837i) q^{79} +(-6.24253 + 8.59210i) q^{80} -2.95827 q^{81} +(-6.79914 + 4.46722i) q^{82} +9.88122 q^{83} +(0.334823 - 0.460844i) q^{84} +(0.745119 + 0.745119i) q^{85} +(1.02381 + 3.15096i) q^{86} +(-7.86570 + 2.55572i) q^{87} +(-13.4122 + 2.12429i) q^{88} +(-14.4489 - 2.28848i) q^{89} +(9.45656 + 3.07262i) q^{90} -4.19804i q^{91} +(-0.552606 + 1.70075i) q^{92} +(5.63081 - 2.86904i) q^{93} +(3.65440 - 7.17217i) q^{94} +(0.946582 + 5.97648i) q^{95} +(1.29916 - 1.29916i) q^{96} +(8.80540 + 4.48657i) q^{97} +(-4.12728 + 2.99864i) q^{98} +(4.61557 + 9.05857i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 10q^{2} - 6q^{3} - 10q^{5} - 2q^{6} - 8q^{7} - 10q^{8} + O(q^{10}) \) \( 24q - 10q^{2} - 6q^{3} - 10q^{5} - 2q^{6} - 8q^{7} - 10q^{8} + 6q^{10} - 16q^{11} + 2q^{12} + 14q^{14} + 8q^{15} - 20q^{16} + 8q^{17} + 16q^{19} + 20q^{20} - 10q^{21} + 6q^{22} + 12q^{23} + 68q^{24} - 8q^{25} - 28q^{26} - 6q^{27} + 18q^{28} + 40q^{29} - 36q^{30} - 12q^{31} + 10q^{33} - 16q^{34} - 36q^{35} - 40q^{36} + 46q^{38} - 50q^{39} - 44q^{40} - 4q^{41} - 40q^{42} - 48q^{44} + 16q^{45} + 70q^{46} - 12q^{47} - 50q^{48} - 30q^{49} - 24q^{51} + 20q^{52} - 26q^{53} + 68q^{54} + 20q^{55} + 106q^{56} + 10q^{57} - 20q^{58} + 6q^{59} + 76q^{60} + 30q^{61} - 10q^{62} + 92q^{63} + 70q^{64} + 68q^{65} + 34q^{66} - 22q^{67} - 20q^{68} - 38q^{69} - 20q^{70} + 4q^{71} - 74q^{72} + 10q^{74} + 4q^{75} - 128q^{76} - 20q^{77} - 10q^{78} - 2q^{79} - 70q^{80} + 28q^{81} - 90q^{82} + 80q^{83} - 30q^{84} - 56q^{85} - 46q^{86} - 10q^{87} + 10q^{88} - 72q^{89} - 70q^{90} - 6q^{93} - 18q^{94} - 40q^{95} + 66q^{96} - 22q^{97} + 6q^{98} + 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/41\mathbb{Z}\right)^\times\).

\(n\) \(6\)
\(\chi(n)\) \(e\left(\frac{19}{20}\right)\)

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:
<
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.746800 1.02788i 0.528067 0.726822i −0.458767 0.888557i \(-0.651709\pi\)
0.986834 + 0.161734i \(0.0517087\pi\)
\(3\) −0.604406 0.604406i −0.348954 0.348954i 0.510766 0.859720i \(-0.329362\pi\)
−0.859720 + 0.510766i \(0.829362\pi\)
\(4\) 0.119203 + 0.366868i 0.0596014 + 0.183434i
\(5\) −3.27974 + 1.06565i −1.46674 + 0.476574i −0.930123 0.367249i \(-0.880300\pi\)
−0.536621 + 0.843823i \(0.680300\pi\)
\(6\) −1.07263 + 0.169888i −0.437899 + 0.0693564i
\(7\) 1.70635 + 0.270260i 0.644940 + 0.102149i 0.470332 0.882489i \(-0.344134\pi\)
0.174608 + 0.984638i \(0.444134\pi\)
\(8\) 2.88281 + 0.936683i 1.01923 + 0.331167i
\(9\) 2.26939i 0.756462i
\(10\) −1.35394 + 4.16701i −0.428155 + 1.31773i
\(11\) −3.99164 + 2.03384i −1.20352 + 0.613226i −0.936569 0.350483i \(-0.886018\pi\)
−0.266955 + 0.963709i \(0.586018\pi\)
\(12\) 0.149691 0.293784i 0.0432120 0.0848082i
\(13\) −0.380129 2.40004i −0.105429 0.665651i −0.982637 0.185540i \(-0.940597\pi\)
0.877208 0.480111i \(-0.159403\pi\)
\(14\) 1.55210 1.55210i 0.414816 0.414816i
\(15\) 2.62638 + 1.33821i 0.678129 + 0.345524i
\(16\) 2.49153 1.81020i 0.622883 0.452551i
\(17\) −0.138725 0.272263i −0.0336457 0.0660334i 0.873572 0.486695i \(-0.161798\pi\)
−0.907217 + 0.420662i \(0.861798\pi\)
\(18\) −2.33266 1.69478i −0.549814 0.399463i
\(19\) 0.274489 1.73306i 0.0629721 0.397590i −0.935989 0.352028i \(-0.885492\pi\)
0.998962 0.0455621i \(-0.0145079\pi\)
\(20\) −0.781908 1.07620i −0.174840 0.240646i
\(21\) −0.867983 1.19468i −0.189409 0.260700i
\(22\) −0.890407 + 5.62181i −0.189835 + 1.19857i
\(23\) 3.75048 + 2.72488i 0.782029 + 0.568178i 0.905587 0.424160i \(-0.139431\pi\)
−0.123558 + 0.992337i \(0.539431\pi\)
\(24\) −1.17625 2.30853i −0.240102 0.471226i
\(25\) 5.57599 4.05119i 1.11520 0.810239i
\(26\) −2.75084 1.40162i −0.539483 0.274880i
\(27\) −3.18485 + 3.18485i −0.612925 + 0.612925i
\(28\) 0.104252 + 0.658222i 0.0197018 + 0.124392i
\(29\) 4.39273 8.62121i 0.815709 1.60092i 0.0165007 0.999864i \(-0.494747\pi\)
0.799208 0.601055i \(-0.205253\pi\)
\(30\) 3.33690 1.70024i 0.609232 0.310419i
\(31\) −2.28469 + 7.03157i −0.410343 + 1.26291i 0.506007 + 0.862529i \(0.331121\pi\)
−0.916350 + 0.400378i \(0.868879\pi\)
\(32\) 2.14948i 0.379978i
\(33\) 3.64184 + 1.18331i 0.633963 + 0.205987i
\(34\) −0.383454 0.0607331i −0.0657618 0.0104156i
\(35\) −5.88439 + 0.931996i −0.994644 + 0.157536i
\(36\) 0.832566 0.270517i 0.138761 0.0450862i
\(37\) 2.28152 + 7.02179i 0.375079 + 1.15438i 0.943425 + 0.331585i \(0.107583\pi\)
−0.568346 + 0.822790i \(0.692417\pi\)
\(38\) −1.57639 1.57639i −0.255724 0.255724i
\(39\) −1.22085 + 1.68035i −0.195492 + 0.269071i
\(40\) −10.4531 −1.65277
\(41\) −5.99000 2.26271i −0.935481 0.353376i
\(42\) −1.87620 −0.289503
\(43\) −1.53275 + 2.10964i −0.233742 + 0.321718i −0.909735 0.415190i \(-0.863715\pi\)
0.675993 + 0.736908i \(0.263715\pi\)
\(44\) −1.22197 1.22197i −0.184218 0.184218i
\(45\) 2.41838 + 7.44299i 0.360510 + 1.10954i
\(46\) 5.60172 1.82011i 0.825928 0.268360i
\(47\) 6.25754 0.991097i 0.912756 0.144566i 0.317645 0.948210i \(-0.397108\pi\)
0.595111 + 0.803643i \(0.297108\pi\)
\(48\) −2.60000 0.411799i −0.375277 0.0594381i
\(49\) −3.81880 1.24080i −0.545543 0.177258i
\(50\) 8.75689i 1.23841i
\(51\) −0.0807112 + 0.248404i −0.0113018 + 0.0347835i
\(52\) 0.835185 0.425548i 0.115819 0.0590129i
\(53\) −0.556161 + 1.09153i −0.0763946 + 0.149933i −0.926045 0.377414i \(-0.876813\pi\)
0.849650 + 0.527347i \(0.176813\pi\)
\(54\) 0.895204 + 5.65210i 0.121822 + 0.769153i
\(55\) 10.9242 10.9242i 1.47301 1.47301i
\(56\) 4.66595 + 2.37742i 0.623513 + 0.317696i
\(57\) −1.21337 + 0.881567i −0.160715 + 0.116766i
\(58\) −5.58110 10.9535i −0.732834 1.43827i
\(59\) 2.66945 + 1.93947i 0.347533 + 0.252497i 0.747833 0.663887i \(-0.231094\pi\)
−0.400300 + 0.916384i \(0.631094\pi\)
\(60\) −0.177874 + 1.12305i −0.0229635 + 0.144986i
\(61\) −0.655043 0.901590i −0.0838697 0.115437i 0.765021 0.644006i \(-0.222729\pi\)
−0.848890 + 0.528569i \(0.822729\pi\)
\(62\) 5.52141 + 7.59957i 0.701220 + 0.965147i
\(63\) 0.613323 3.87237i 0.0772715 0.487873i
\(64\) 7.19247 + 5.22564i 0.899059 + 0.653205i
\(65\) 3.80433 + 7.46641i 0.471869 + 0.926095i
\(66\) 3.93602 2.85969i 0.484491 0.352003i
\(67\) −9.09493 4.63410i −1.11112 0.566145i −0.200628 0.979667i \(-0.564298\pi\)
−0.910494 + 0.413522i \(0.864298\pi\)
\(68\) 0.0833482 0.0833482i 0.0101075 0.0101075i
\(69\) −0.619877 3.91375i −0.0746245 0.471160i
\(70\) −3.43648 + 6.74448i −0.410738 + 0.806119i
\(71\) 0.475905 0.242486i 0.0564795 0.0287777i −0.425523 0.904948i \(-0.639910\pi\)
0.482002 + 0.876170i \(0.339910\pi\)
\(72\) 2.12570 6.54222i 0.250516 0.771008i
\(73\) 8.56300i 1.00222i −0.865383 0.501112i \(-0.832925\pi\)
0.865383 0.501112i \(-0.167075\pi\)
\(74\) 8.92141 + 2.89874i 1.03709 + 0.336972i
\(75\) −5.81873 0.921596i −0.671889 0.106417i
\(76\) 0.668523 0.105884i 0.0766848 0.0121457i
\(77\) −7.36081 + 2.39167i −0.838842 + 0.272556i
\(78\) 0.815474 + 2.50977i 0.0923343 + 0.284176i
\(79\) −6.09837 6.09837i −0.686120 0.686120i 0.275252 0.961372i \(-0.411239\pi\)
−0.961372 + 0.275252i \(0.911239\pi\)
\(80\) −6.24253 + 8.59210i −0.697936 + 0.960626i
\(81\) −2.95827 −0.328697
\(82\) −6.79914 + 4.46722i −0.750839 + 0.493322i
\(83\) 9.88122 1.08460 0.542302 0.840183i \(-0.317553\pi\)
0.542302 + 0.840183i \(0.317553\pi\)
\(84\) 0.334823 0.460844i 0.0365322 0.0502822i
\(85\) 0.745119 + 0.745119i 0.0808195 + 0.0808195i
\(86\) 1.02381 + 3.15096i 0.110400 + 0.339777i
\(87\) −7.86570 + 2.55572i −0.843292 + 0.274002i
\(88\) −13.4122 + 2.12429i −1.42975 + 0.226450i
\(89\) −14.4489 2.28848i −1.53158 0.242579i −0.666996 0.745062i \(-0.732420\pi\)
−0.864587 + 0.502483i \(0.832420\pi\)
\(90\) 9.45656 + 3.07262i 0.996809 + 0.323883i
\(91\) 4.19804i 0.440074i
\(92\) −0.552606 + 1.70075i −0.0576131 + 0.177315i
\(93\) 5.63081 2.86904i 0.583888 0.297506i
\(94\) 3.65440 7.17217i 0.376923 0.739753i
\(95\) 0.946582 + 5.97648i 0.0971172 + 0.613174i
\(96\) 1.29916 1.29916i 0.132595 0.132595i
\(97\) 8.80540 + 4.48657i 0.894053 + 0.455543i 0.839745 0.542982i \(-0.182705\pi\)
0.0543082 + 0.998524i \(0.482705\pi\)
\(98\) −4.12728 + 2.99864i −0.416918 + 0.302909i
\(99\) 4.61557 + 9.05857i 0.463882 + 0.910420i
\(100\) 2.15093 + 1.56274i 0.215093 + 0.156274i
\(101\) 0.271981 1.71722i 0.0270631 0.170870i −0.970455 0.241283i \(-0.922432\pi\)
0.997518 + 0.0704133i \(0.0224318\pi\)
\(102\) 0.195054 + 0.268469i 0.0193133 + 0.0265824i
\(103\) 4.97027 + 6.84100i 0.489736 + 0.674063i 0.980339 0.197320i \(-0.0632236\pi\)
−0.490603 + 0.871383i \(0.663224\pi\)
\(104\) 1.15223 7.27492i 0.112986 0.713365i
\(105\) 4.11987 + 2.99326i 0.402058 + 0.292112i
\(106\) 0.706621 + 1.38682i 0.0686331 + 0.134700i
\(107\) −0.277133 + 0.201349i −0.0267915 + 0.0194651i −0.601100 0.799174i \(-0.705271\pi\)
0.574309 + 0.818639i \(0.305271\pi\)
\(108\) −1.54806 0.788778i −0.148962 0.0759002i
\(109\) 0.0194034 0.0194034i 0.00185851 0.00185851i −0.706177 0.708035i \(-0.749582\pi\)
0.708035 + 0.706177i \(0.249582\pi\)
\(110\) −3.07059 19.3869i −0.292769 1.84847i
\(111\) 2.86505 5.62298i 0.271939 0.533709i
\(112\) 4.74065 2.41548i 0.447950 0.228242i
\(113\) −1.43672 + 4.42177i −0.135155 + 0.415965i −0.995614 0.0935546i \(-0.970177\pi\)
0.860459 + 0.509520i \(0.170177\pi\)
\(114\) 1.90556i 0.178472i
\(115\) −15.2044 4.94020i −1.41782 0.460676i
\(116\) 3.68647 + 0.583880i 0.342280 + 0.0542119i
\(117\) −5.44661 + 0.862659i −0.503539 + 0.0797528i
\(118\) 3.98709 1.29548i 0.367041 0.119259i
\(119\) −0.163132 0.502068i −0.0149543 0.0460245i
\(120\) 6.31789 + 6.31789i 0.576742 + 0.576742i
\(121\) 5.33103 7.33753i 0.484639 0.667049i
\(122\) −1.41591 −0.128191
\(123\) 2.25280 + 4.98799i 0.203128 + 0.449752i
\(124\) −2.85200 −0.256117
\(125\) −3.83568 + 5.27936i −0.343074 + 0.472200i
\(126\) −3.52231 3.52231i −0.313792 0.313792i
\(127\) −6.46903 19.9096i −0.574034 1.76669i −0.639446 0.768836i \(-0.720836\pi\)
0.0654117 0.997858i \(-0.479164\pi\)
\(128\) 6.65413 2.16206i 0.588147 0.191101i
\(129\) 2.20148 0.348681i 0.193830 0.0306996i
\(130\) 10.5157 + 1.66552i 0.922285 + 0.146076i
\(131\) 13.7334 + 4.46226i 1.19989 + 0.389869i 0.839722 0.543016i \(-0.182718\pi\)
0.360172 + 0.932886i \(0.382718\pi\)
\(132\) 1.47713i 0.128567i
\(133\) 0.936750 2.88302i 0.0812265 0.249990i
\(134\) −11.5554 + 5.88777i −0.998235 + 0.508626i
\(135\) 7.05154 13.8394i 0.606900 1.19111i
\(136\) −0.144894 0.914824i −0.0124245 0.0784455i
\(137\) 0.668766 0.668766i 0.0571365 0.0571365i −0.677961 0.735098i \(-0.737136\pi\)
0.735098 + 0.677961i \(0.237136\pi\)
\(138\) −4.48580 2.28563i −0.381857 0.194566i
\(139\) −6.13162 + 4.45488i −0.520077 + 0.377858i −0.816633 0.577157i \(-0.804162\pi\)
0.296556 + 0.955016i \(0.404162\pi\)
\(140\) −1.04336 2.04770i −0.0881796 0.173062i
\(141\) −4.38112 3.18307i −0.368957 0.268063i
\(142\) 0.106159 0.670262i 0.00890868 0.0562472i
\(143\) 6.39863 + 8.80696i 0.535081 + 0.736475i
\(144\) −4.10805 5.65425i −0.342338 0.471187i
\(145\) −5.21979 + 32.9564i −0.433480 + 2.73688i
\(146\) −8.80175 6.39485i −0.728438 0.529241i
\(147\) 1.55816 + 3.05806i 0.128515 + 0.252224i
\(148\) −2.30411 + 1.67403i −0.189397 + 0.137605i
\(149\) 8.57816 + 4.37079i 0.702750 + 0.358069i 0.768573 0.639762i \(-0.220967\pi\)
−0.0658226 + 0.997831i \(0.520967\pi\)
\(150\) −5.29272 + 5.29272i −0.432149 + 0.432149i
\(151\) 2.81584 + 17.7785i 0.229150 + 1.44679i 0.787051 + 0.616887i \(0.211607\pi\)
−0.557902 + 0.829907i \(0.688393\pi\)
\(152\) 2.41463 4.73897i 0.195852 0.384381i
\(153\) −0.617869 + 0.314820i −0.0499518 + 0.0254517i
\(154\) −3.03869 + 9.35214i −0.244865 + 0.753617i
\(155\) 25.4964i 2.04792i
\(156\) −0.761995 0.247587i −0.0610084 0.0198228i
\(157\) 10.9681 + 1.73718i 0.875350 + 0.138642i 0.577912 0.816099i \(-0.303868\pi\)
0.297438 + 0.954741i \(0.403868\pi\)
\(158\) −10.8227 + 1.71414i −0.861005 + 0.136370i
\(159\) 0.995874 0.323579i 0.0789779 0.0256615i
\(160\) −2.29060 7.04973i −0.181087 0.557330i
\(161\) 5.66321 + 5.66321i 0.446324 + 0.446324i
\(162\) −2.20924 + 3.04075i −0.173574 + 0.238904i
\(163\) 1.98697 0.155631 0.0778156 0.996968i \(-0.475205\pi\)
0.0778156 + 0.996968i \(0.475205\pi\)
\(164\) 0.116093 2.46726i 0.00906536 0.192661i
\(165\) −13.2053 −1.02803
\(166\) 7.37930 10.1567i 0.572744 0.788315i
\(167\) 3.26398 + 3.26398i 0.252574 + 0.252574i 0.822025 0.569451i \(-0.192844\pi\)
−0.569451 + 0.822025i \(0.692844\pi\)
\(168\) −1.38320 4.25706i −0.106716 0.328439i
\(169\) 6.74805 2.19257i 0.519081 0.168660i
\(170\) 1.32235 0.209439i 0.101420 0.0160633i
\(171\) −3.93297 0.622922i −0.300762 0.0476360i
\(172\) −0.956669 0.310841i −0.0729453 0.0237014i
\(173\) 3.45816i 0.262919i 0.991322 + 0.131460i \(0.0419663\pi\)
−0.991322 + 0.131460i \(0.958034\pi\)
\(174\) −3.24713 + 9.99363i −0.246164 + 0.757615i
\(175\) 10.6095 5.40580i 0.802001 0.408640i
\(176\) −6.26363 + 12.2931i −0.472139 + 0.926624i
\(177\) −0.441205 2.78566i −0.0331630 0.209383i
\(178\) −13.1427 + 13.1427i −0.985091 + 0.985091i
\(179\) −14.1878 7.22903i −1.06044 0.540323i −0.165366 0.986232i \(-0.552881\pi\)
−0.895078 + 0.445909i \(0.852881\pi\)
\(180\) −2.44232 + 1.77445i −0.182040 + 0.132260i
\(181\) −1.10429 2.16728i −0.0820810 0.161093i 0.846318 0.532678i \(-0.178814\pi\)
−0.928399 + 0.371585i \(0.878814\pi\)
\(182\) −4.31509 3.13510i −0.319856 0.232389i
\(183\) −0.149014 + 0.940839i −0.0110154 + 0.0695488i
\(184\) 8.25959 + 11.3683i 0.608905 + 0.838085i
\(185\) −14.9656 20.5983i −1.10029 1.51442i
\(186\) 1.25605 7.93041i 0.0920983 0.581486i
\(187\) 1.10748 + 0.804630i 0.0809869 + 0.0588404i
\(188\) 1.10952 + 2.17755i 0.0809199 + 0.158814i
\(189\) −6.29521 + 4.57374i −0.457909 + 0.332691i
\(190\) 6.85003 + 3.49026i 0.496953 + 0.253210i
\(191\) −4.58243 + 4.58243i −0.331573 + 0.331573i −0.853184 0.521610i \(-0.825331\pi\)
0.521610 + 0.853184i \(0.325331\pi\)
\(192\) −1.18877 7.50559i −0.0857919 0.541669i
\(193\) −0.572698 + 1.12398i −0.0412237 + 0.0809060i −0.910700 0.413069i \(-0.864457\pi\)
0.869476 + 0.493975i \(0.164457\pi\)
\(194\) 11.1875 5.70034i 0.803219 0.409260i
\(195\) 2.21339 6.81211i 0.158504 0.487825i
\(196\) 1.54890i 0.110636i
\(197\) −3.22508 1.04789i −0.229777 0.0746592i 0.191865 0.981421i \(-0.438546\pi\)
−0.421643 + 0.906762i \(0.638546\pi\)
\(198\) 12.7580 + 2.02068i 0.906675 + 0.143603i
\(199\) 7.65101 1.21180i 0.542365 0.0859023i 0.120760 0.992682i \(-0.461467\pi\)
0.421605 + 0.906779i \(0.361467\pi\)
\(200\) 19.8692 6.45590i 1.40497 0.456501i
\(201\) 2.69615 + 8.29791i 0.190172 + 0.585290i
\(202\) −1.56198 1.56198i −0.109901 0.109901i
\(203\) 9.82550 13.5236i 0.689615 0.949174i
\(204\) −0.100752 −0.00705408
\(205\) 22.0569 + 1.03785i 1.54052 + 0.0724868i
\(206\) 10.7435 0.748538
\(207\) 6.18381 8.51129i 0.429805 0.591575i
\(208\) −5.29166 5.29166i −0.366911 0.366911i
\(209\) 2.42910 + 7.47600i 0.168024 + 0.517126i
\(210\) 6.15344 1.99937i 0.424627 0.137970i
\(211\) −15.0249 + 2.37972i −1.03436 + 0.163826i −0.650453 0.759546i \(-0.725421\pi\)
−0.383905 + 0.923372i \(0.625421\pi\)
\(212\) −0.466743 0.0739248i −0.0320560 0.00507717i
\(213\) −0.434200 0.141080i −0.0297509 0.00966664i
\(214\) 0.435228i 0.0297515i
\(215\) 2.77886 8.55246i 0.189517 0.583273i
\(216\) −12.1645 + 6.19813i −0.827691 + 0.421730i
\(217\) −5.79884 + 11.3809i −0.393651 + 0.772584i
\(218\) −0.00545394 0.0344348i −0.000369387 0.00233222i
\(219\) −5.17553 + 5.17553i −0.349730 + 0.349730i
\(220\) 5.30992 + 2.70554i 0.357995 + 0.182407i
\(221\) −0.600708 + 0.436440i −0.0404080 + 0.0293581i
\(222\) −3.64014 7.14417i −0.244310 0.479486i
\(223\) −2.35953 1.71430i −0.158006 0.114798i 0.505973 0.862549i \(-0.331134\pi\)
−0.663979 + 0.747751i \(0.731134\pi\)
\(224\) −0.580917 + 3.66777i −0.0388142 + 0.245063i
\(225\) −9.19372 12.6541i −0.612915 0.843605i
\(226\) 3.47212 + 4.77896i 0.230962 + 0.317892i
\(227\) 2.59992 16.4153i 0.172563 1.08952i −0.737591 0.675248i \(-0.764037\pi\)
0.910154 0.414271i \(-0.135963\pi\)
\(228\) −0.468056 0.340063i −0.0309978 0.0225212i
\(229\) 5.63479 + 11.0589i 0.372358 + 0.730793i 0.998815 0.0486625i \(-0.0154959\pi\)
−0.626458 + 0.779455i \(0.715496\pi\)
\(230\) −16.4326 + 11.9390i −1.08353 + 0.787232i
\(231\) 5.89446 + 3.00338i 0.387827 + 0.197608i
\(232\) 20.7387 20.7387i 1.36157 1.36157i
\(233\) 0.476691 + 3.00971i 0.0312291 + 0.197173i 0.998370 0.0570669i \(-0.0181748\pi\)
−0.967141 + 0.254240i \(0.918175\pi\)
\(234\) −3.18082 + 6.24271i −0.207937 + 0.408099i
\(235\) −19.4669 + 9.91890i −1.26988 + 0.647038i
\(236\) −0.393324 + 1.21053i −0.0256032 + 0.0787985i
\(237\) 7.37179i 0.478849i
\(238\) −0.637893 0.207264i −0.0413485 0.0134349i
\(239\) −13.5302 2.14297i −0.875193 0.138617i −0.297354 0.954767i \(-0.596104\pi\)
−0.577840 + 0.816150i \(0.696104\pi\)
\(240\) 8.96614 1.42010i 0.578762 0.0916669i
\(241\) −12.5581 + 4.08039i −0.808941 + 0.262841i −0.684149 0.729342i \(-0.739826\pi\)
−0.124792 + 0.992183i \(0.539826\pi\)
\(242\) −3.56091 10.9593i −0.228904 0.704493i
\(243\) 11.3425 + 11.3425i 0.727625 + 0.727625i
\(244\) 0.252682 0.347786i 0.0161763 0.0222647i
\(245\) 13.8469 0.884648
\(246\) 6.80946 + 1.40942i 0.434155 + 0.0898616i
\(247\) −4.26374 −0.271295
\(248\) −13.1727 + 18.1307i −0.836467 + 1.15130i
\(249\) −5.97227 5.97227i −0.378477 0.378477i
\(250\) 2.56207 + 7.88525i 0.162040 + 0.498707i
\(251\) −19.8271 + 6.44222i −1.25148 + 0.406630i −0.858450 0.512897i \(-0.828572\pi\)
−0.393027 + 0.919527i \(0.628572\pi\)
\(252\) 1.49376 0.236588i 0.0940980 0.0149037i
\(253\) −20.5125 3.24887i −1.28961 0.204255i
\(254\) −25.2958 8.21912i −1.58720 0.515713i
\(255\) 0.900709i 0.0564046i
\(256\) −2.74760 + 8.45624i −0.171725 + 0.528515i
\(257\) 16.3088 8.30974i 1.01731 0.518348i 0.135916 0.990720i \(-0.456602\pi\)
0.881399 + 0.472373i \(0.156602\pi\)
\(258\) 1.28567 2.52326i 0.0800420 0.157091i
\(259\) 1.99537 + 12.5982i 0.123986 + 0.782817i
\(260\) −2.28570 + 2.28570i −0.141753 + 0.141753i
\(261\) −19.5649 9.96879i −1.21103 0.617053i
\(262\) 14.8428 10.7839i 0.916991 0.666233i
\(263\) 9.77669 + 19.1878i 0.602857 + 1.18317i 0.967700 + 0.252104i \(0.0811225\pi\)
−0.364844 + 0.931069i \(0.618878\pi\)
\(264\) 9.39036 + 6.82250i 0.577937 + 0.419896i
\(265\) 0.660875 4.17260i 0.0405972 0.256321i
\(266\) −2.26384 3.11591i −0.138805 0.191049i
\(267\) 7.34985 + 10.1162i 0.449803 + 0.619101i
\(268\) 0.615963 3.88904i 0.0376259 0.237561i
\(269\) 2.38656 + 1.73394i 0.145511 + 0.105720i 0.658159 0.752879i \(-0.271335\pi\)
−0.512648 + 0.858599i \(0.671335\pi\)
\(270\) −8.95920 17.5834i −0.545240 1.07009i
\(271\) 9.08621 6.60152i 0.551948 0.401014i −0.276555 0.960998i \(-0.589193\pi\)
0.828503 + 0.559984i \(0.189193\pi\)
\(272\) −0.838488 0.427231i −0.0508408 0.0259047i
\(273\) −2.53732 + 2.53732i −0.153566 + 0.153566i
\(274\) −0.187978 1.18685i −0.0113562 0.0717000i
\(275\) −14.0179 + 27.5116i −0.845308 + 1.65901i
\(276\) 1.36194 0.693943i 0.0819792 0.0417705i
\(277\) 9.15694 28.1822i 0.550187 1.69330i −0.158138 0.987417i \(-0.550549\pi\)
0.708326 0.705886i \(-0.249451\pi\)
\(278\) 9.62949i 0.577538i
\(279\) 15.9573 + 5.18485i 0.955341 + 0.310409i
\(280\) −17.8366 2.82504i −1.06594 0.168828i
\(281\) 2.43464 0.385610i 0.145239 0.0230036i −0.0833917 0.996517i \(-0.526575\pi\)
0.228630 + 0.973513i \(0.426575\pi\)
\(282\) −6.54365 + 2.12616i −0.389669 + 0.126611i
\(283\) −4.97243 15.3036i −0.295580 0.909703i −0.983026 0.183467i \(-0.941268\pi\)
0.687446 0.726236i \(-0.258732\pi\)
\(284\) 0.145689 + 0.145689i 0.00864507 + 0.00864507i
\(285\) 3.04010 4.18434i 0.180080 0.247859i
\(286\) 13.8310 0.817845
\(287\) −9.60953 5.47984i −0.567233 0.323465i
\(288\) 4.87800 0.287439
\(289\) 9.93747 13.6777i 0.584557 0.804574i
\(290\) 29.9772 + 29.9772i 1.76032 + 1.76032i
\(291\) −2.61032 8.03375i −0.153020 0.470947i
\(292\) 3.14149 1.02073i 0.183842 0.0597339i
\(293\) 26.1450 4.14096i 1.52741 0.241917i 0.664502 0.747286i \(-0.268644\pi\)
0.862904 + 0.505369i \(0.168644\pi\)
\(294\) 4.30695 + 0.682154i 0.251187 + 0.0397840i
\(295\) −10.8219 3.51625i −0.630075 0.204724i
\(296\) 22.3796i 1.30079i
\(297\) 6.23529 19.1903i 0.361808 1.11353i
\(298\) 10.8988 5.55323i 0.631352 0.321690i
\(299\) 5.11416 10.0371i 0.295759 0.580461i
\(300\) −0.355504 2.24456i −0.0205250 0.129590i
\(301\) −3.18556 + 3.18556i −0.183612 + 0.183612i
\(302\) 20.3771 + 10.3826i 1.17257 + 0.597454i
\(303\) −1.20228 + 0.873511i −0.0690695 + 0.0501819i
\(304\) −2.45329 4.81485i −0.140706 0.276150i
\(305\) 3.10915 + 2.25893i 0.178030 + 0.129346i
\(306\) −0.137827 + 0.870205i −0.00787904 + 0.0497463i
\(307\) 6.74688 + 9.28628i 0.385065 + 0.529996i 0.956917 0.290360i \(-0.0937751\pi\)
−0.571853 + 0.820356i \(0.693775\pi\)
\(308\) −1.75486 2.41535i −0.0999922 0.137627i
\(309\) 1.13068 7.13881i 0.0643219 0.406113i
\(310\) −26.2073 19.0407i −1.48847 1.08144i
\(311\) −8.36318 16.4137i −0.474232 0.930733i −0.996936 0.0782190i \(-0.975077\pi\)
0.522704 0.852514i \(-0.324923\pi\)
\(312\) −5.09343 + 3.70059i −0.288358 + 0.209505i
\(313\) −12.8108 6.52744i −0.724110 0.368953i 0.0527652 0.998607i \(-0.483197\pi\)
−0.776875 + 0.629654i \(0.783197\pi\)
\(314\) 9.97659 9.97659i 0.563012 0.563012i
\(315\) 2.11506 + 13.3540i 0.119170 + 0.752410i
\(316\) 1.51036 2.96424i 0.0849642 0.166752i
\(317\) −21.3431 + 10.8749i −1.19875 + 0.610794i −0.935292 0.353877i \(-0.884863\pi\)
−0.263459 + 0.964671i \(0.584863\pi\)
\(318\) 0.411117 1.26529i 0.0230543 0.0709539i
\(319\) 43.3469i 2.42696i
\(320\) −29.1581 9.47406i −1.62999 0.529616i
\(321\) 0.289198 + 0.0458044i 0.0161414 + 0.00255655i
\(322\) 10.0504 1.59183i 0.560087 0.0887091i
\(323\) −0.509925 + 0.165685i −0.0283730 + 0.00921894i
\(324\) −0.352634 1.08530i −0.0195908 0.0602942i
\(325\) −11.8426 11.8426i −0.656910 0.656910i
\(326\) 1.48387 2.04237i 0.0821838 0.113116i
\(327\) −0.0234550 −0.00129707
\(328\) −15.1486 12.1337i −0.836442 0.669972i
\(329\) 10.9454 0.603441
\(330\) −9.86170 + 13.5735i −0.542869 + 0.747195i
\(331\) −0.797529 0.797529i −0.0438362 0.0438362i 0.684849 0.728685i \(-0.259868\pi\)
−0.728685 + 0.684849i \(0.759868\pi\)
\(332\) 1.17787 + 3.62511i 0.0646439 + 0.198954i
\(333\) 15.9351 5.17764i 0.873241 0.283733i
\(334\) 5.79252 0.917445i 0.316953 0.0502004i
\(335\) 34.7673 + 5.50660i 1.89954 + 0.300858i
\(336\) −4.32522 1.40535i −0.235960 0.0766680i
\(337\) 9.36237i 0.510001i 0.966941 + 0.255000i \(0.0820756\pi\)
−0.966941 + 0.255000i \(0.917924\pi\)
\(338\) 2.78574 8.57362i 0.151524 0.466343i
\(339\) 3.54091 1.80418i 0.192316 0.0979898i
\(340\) −0.184540 + 0.362180i −0.0100081 + 0.0196420i
\(341\) −5.18142 32.7142i −0.280590 1.77157i
\(342\) −3.57743 + 3.57743i −0.193446 + 0.193446i
\(343\) −16.9561 8.63958i −0.915545 0.466494i
\(344\) −6.39469 + 4.64601i −0.344779 + 0.250496i
\(345\) 6.20373 + 12.1755i 0.333998 + 0.655507i
\(346\) 3.55458 + 2.58255i 0.191095 + 0.138839i
\(347\) −1.06889 + 6.74870i −0.0573810 + 0.362289i 0.942245 + 0.334926i \(0.108711\pi\)
−0.999626 + 0.0273636i \(0.991289\pi\)
\(348\) −1.87523 2.58103i −0.100523 0.138358i
\(349\) 2.17419 + 2.99251i 0.116382 + 0.160185i 0.863233 0.504805i \(-0.168436\pi\)
−0.746852 + 0.664990i \(0.768436\pi\)
\(350\) 2.36663 14.9423i 0.126502 0.798702i
\(351\) 8.85441 + 6.43311i 0.472614 + 0.343374i
\(352\) −4.37170 8.57994i −0.233012 0.457312i
\(353\) −2.84588 + 2.06765i −0.151471 + 0.110050i −0.660939 0.750439i \(-0.729842\pi\)
0.509469 + 0.860489i \(0.329842\pi\)
\(354\) −3.19282 1.62682i −0.169697 0.0864647i
\(355\) −1.30244 + 1.30244i −0.0691263 + 0.0691263i
\(356\) −0.882778 5.57364i −0.0467872 0.295403i
\(357\) −0.204855 + 0.402051i −0.0108421 + 0.0212788i
\(358\) −18.0260 + 9.18472i −0.952705 + 0.485428i
\(359\) −4.61076 + 14.1905i −0.243347 + 0.748944i 0.752557 + 0.658527i \(0.228820\pi\)
−0.995904 + 0.0904171i \(0.971180\pi\)
\(360\) 23.7220i 1.25026i
\(361\) 15.1419 + 4.91991i 0.796944 + 0.258943i
\(362\) −3.05239 0.483452i −0.160430 0.0254097i
\(363\) −7.65696 + 1.21274i −0.401886 + 0.0636525i
\(364\) 1.54013 0.500418i 0.0807247 0.0262290i
\(365\) 9.12518 + 28.0844i 0.477634 + 1.47001i
\(366\) 0.855788 + 0.855788i 0.0447327 + 0.0447327i
\(367\) −10.3592 + 14.2583i −0.540748 + 0.744276i −0.988721 0.149771i \(-0.952146\pi\)
0.447972 + 0.894047i \(0.352146\pi\)
\(368\) 14.2770 0.744242
\(369\) −5.13497 + 13.5936i −0.267316 + 0.707656i
\(370\) −32.3489 −1.68174
\(371\) −1.24400 + 1.71222i −0.0645854 + 0.0888942i
\(372\) 1.72377 + 1.72377i 0.0893732 + 0.0893732i
\(373\) 0.925209 + 2.84750i 0.0479055 + 0.147438i 0.972148 0.234368i \(-0.0753022\pi\)
−0.924242 + 0.381806i \(0.875302\pi\)
\(374\) 1.65413 0.537460i 0.0855330 0.0277914i
\(375\) 5.50919 0.872570i 0.284493 0.0450593i
\(376\) 18.9677 + 3.00418i 0.978183 + 0.154929i
\(377\) −22.3610 7.26554i −1.15165 0.374194i
\(378\) 9.88640i 0.508502i
\(379\) 9.87141 30.3811i 0.507060 1.56057i −0.290220 0.956960i \(-0.593728\pi\)
0.797280 0.603610i \(-0.206272\pi\)
\(380\) −2.07975 + 1.05968i −0.106689 + 0.0543606i
\(381\) −8.12359 + 15.9434i −0.416184 + 0.816807i
\(382\) 1.28804 + 8.13236i 0.0659018 + 0.416088i
\(383\) 1.77733 1.77733i 0.0908173 0.0908173i −0.660239 0.751056i \(-0.729545\pi\)
0.751056 + 0.660239i \(0.229545\pi\)
\(384\) −5.32856 2.71504i −0.271922 0.138551i
\(385\) 21.5928 15.6881i 1.10047 0.799540i
\(386\) 0.727631 + 1.42806i 0.0370354 + 0.0726861i
\(387\) 4.78760 + 3.47839i 0.243367 + 0.176817i
\(388\) −0.596354 + 3.76523i −0.0302753 + 0.191151i
\(389\) −20.3807 28.0517i −1.03334 1.42228i −0.902406 0.430886i \(-0.858201\pi\)
−0.130938 0.991391i \(-0.541799\pi\)
\(390\) −5.34908 7.36238i −0.270861 0.372809i
\(391\) 0.221600 1.39913i 0.0112068 0.0707568i
\(392\) −9.84665 7.15401i −0.497331 0.361332i
\(393\) −5.60355 10.9976i −0.282662 0.554755i
\(394\) −3.48560 + 2.53244i −0.175602 + 0.127582i
\(395\) 26.4998 + 13.5023i 1.33335 + 0.679376i
\(396\) −2.77311 + 2.77311i −0.139354 + 0.139354i
\(397\) 5.37624 + 33.9443i 0.269826 + 1.70361i 0.634867 + 0.772622i \(0.281055\pi\)
−0.365041 + 0.930992i \(0.618945\pi\)
\(398\) 4.46818 8.76931i 0.223970 0.439566i
\(399\) −2.30869 + 1.17634i −0.115579 + 0.0588906i
\(400\) 6.55927 20.1874i 0.327963 1.00937i
\(401\) 8.02435i 0.400717i −0.979723 0.200359i \(-0.935789\pi\)
0.979723 0.200359i \(-0.0642107\pi\)
\(402\) 10.5428 + 3.42555i 0.525825 + 0.170851i
\(403\) 17.7445 + 2.81045i 0.883917 + 0.139999i
\(404\) 0.662414 0.104916i 0.0329563 0.00521977i
\(405\) 9.70236 3.15249i 0.482114 0.156648i
\(406\) −6.56302 20.1989i −0.325717 1.00246i
\(407\) −23.3882 23.3882i −1.15931 1.15931i
\(408\) −0.465351 + 0.640500i −0.0230383 + 0.0317095i
\(409\) 6.97227 0.344757 0.172378 0.985031i \(-0.444855\pi\)
0.172378 + 0.985031i \(0.444855\pi\)
\(410\) 17.5389 21.8968i 0.866184 1.08141i
\(411\) −0.808413 −0.0398760
\(412\) −1.91727 + 2.63890i −0.0944573 + 0.130009i
\(413\) 4.03086 + 4.03086i 0.198346 + 0.198346i
\(414\) −4.13053 12.7125i −0.203004 0.624783i
\(415\) −32.4078 + 10.5299i −1.59084 + 0.516894i
\(416\) 5.15883 0.817078i 0.252932 0.0400606i
\(417\) 6.39855 + 1.01343i 0.313338 + 0.0496279i
\(418\) 9.49850 + 3.08625i 0.464587 + 0.150953i
\(419\) 15.4578i 0.755163i 0.925976 + 0.377581i \(0.123244\pi\)
−0.925976 + 0.377581i \(0.876756\pi\)
\(420\) −0.607032 + 1.86825i −0.0296201 + 0.0911614i
\(421\) −19.0239 + 9.69316i −0.927168 + 0.472416i −0.851286 0.524701i \(-0.824177\pi\)
−0.0758813 + 0.997117i \(0.524177\pi\)
\(422\) −8.77455 + 17.2210i −0.427139 + 0.838307i
\(423\) −2.24918 14.2008i −0.109359 0.690466i
\(424\) −2.62572 + 2.62572i −0.127516 + 0.127516i
\(425\) −1.87652 0.956133i −0.0910245 0.0463793i
\(426\) −0.469274 + 0.340948i −0.0227364 + 0.0165190i
\(427\) −0.874071 1.71546i −0.0422993 0.0830170i
\(428\) −0.106904 0.0776700i −0.00516738 0.00375432i
\(429\) 1.45561 9.19036i 0.0702775 0.443715i
\(430\) −6.71566 9.24332i −0.323858 0.445752i
\(431\) −5.97602 8.22528i −0.287855 0.396198i 0.640461 0.767991i \(-0.278743\pi\)
−0.928316 + 0.371793i \(0.878743\pi\)
\(432\) −2.16993 + 13.7004i −0.104401 + 0.659160i
\(433\) −16.6045 12.0639i −0.797962 0.579754i 0.112353 0.993668i \(-0.464161\pi\)
−0.910316 + 0.413915i \(0.864161\pi\)
\(434\) 7.36762 + 14.4598i 0.353657 + 0.694091i
\(435\) 23.0740 16.7642i 1.10631 0.803782i
\(436\) 0.00943141 + 0.00480554i 0.000451683 + 0.000230144i
\(437\) 5.75184 5.75184i 0.275148 0.275148i
\(438\) 1.45475 + 9.18492i 0.0695106 + 0.438873i
\(439\) −1.86410 + 3.65850i −0.0889687 + 0.174611i −0.931203 0.364500i \(-0.881240\pi\)
0.842235 + 0.539111i \(0.181240\pi\)
\(440\) 41.7248 21.2599i 1.98915 1.01352i
\(441\) −2.81586 + 8.66633i −0.134089 + 0.412682i
\(442\) 0.943390i 0.0448725i
\(443\) 6.70132 + 2.17739i 0.318389 + 0.103451i 0.463852 0.885913i \(-0.346467\pi\)
−0.145463 + 0.989364i \(0.546467\pi\)
\(444\) 2.40441 + 0.380822i 0.114108 + 0.0180730i
\(445\) 49.8274 7.89189i 2.36205 0.374111i
\(446\) −3.52420 + 1.14508i −0.166875 + 0.0542211i
\(447\) −2.54296 7.82643i −0.120278 0.370177i
\(448\) 10.8606 + 10.8606i 0.513116 + 0.513116i
\(449\) −8.08754 + 11.1316i −0.381675 + 0.525330i −0.956027 0.293278i \(-0.905254\pi\)
0.574352 + 0.818608i \(0.305254\pi\)
\(450\) −19.8728 −0.936811
\(451\) 28.5119 3.15078i 1.34257 0.148364i
\(452\) −1.79347 −0.0843577
\(453\) 9.04353 12.4474i 0.424902 0.584828i
\(454\) −14.9313 14.9313i −0.700762 0.700762i
\(455\) 4.47365 + 13.7685i 0.209728 + 0.645477i
\(456\) −4.32368 + 1.40485i −0.202475 + 0.0657880i
\(457\) −1.52547 + 0.241611i −0.0713587 + 0.0113021i −0.192012 0.981393i \(-0.561501\pi\)
0.120653 + 0.992695i \(0.461501\pi\)
\(458\) 15.5753 + 2.46689i 0.727787 + 0.115270i
\(459\) 1.30893 + 0.425298i 0.0610958 + 0.0198512i
\(460\) 6.16689i 0.287533i
\(461\) −9.62660 + 29.6276i −0.448355 + 1.37990i 0.430407 + 0.902635i \(0.358370\pi\)
−0.878762 + 0.477261i \(0.841630\pi\)
\(462\) 7.48910 3.81589i 0.348424 0.177531i
\(463\) −13.9772 + 27.4318i −0.649577 + 1.27487i 0.297764 + 0.954639i \(0.403759\pi\)
−0.947341 + 0.320227i \(0.896241\pi\)
\(464\) −4.66153 29.4317i −0.216406 1.36633i
\(465\) −15.4102 + 15.4102i −0.714630 + 0.714630i
\(466\) 3.44962 + 1.75767i 0.159801 + 0.0814224i
\(467\) −0.689868 + 0.501219i −0.0319233 + 0.0231936i −0.603632 0.797263i \(-0.706281\pi\)
0.571709 + 0.820456i \(0.306281\pi\)
\(468\) −0.965733 1.89536i −0.0446410 0.0876129i
\(469\) −14.2667 10.3654i −0.658777 0.478629i
\(470\) −4.34245 + 27.4172i −0.200302 + 1.26466i
\(471\) −5.57923 7.67915i −0.257077 0.353837i
\(472\) 5.87886 + 8.09156i 0.270596 + 0.372444i
\(473\) 1.82749 11.5383i 0.0840280 0.530532i
\(474\) 7.57733 + 5.50525i 0.348038 + 0.252865i
\(475\) −5.49040 10.7755i −0.251917 0.494414i
\(476\) 0.164747 0.119696i 0.00755117 0.00548624i
\(477\) 2.47710 + 1.26214i 0.113419 + 0.0577896i
\(478\) −12.3070 + 12.3070i −0.562911 + 0.562911i
\(479\) −0.752997 4.75424i −0.0344053 0.217227i 0.964496 0.264099i \(-0.0850746\pi\)
−0.998901 + 0.0468724i \(0.985075\pi\)
\(480\) −2.87645 + 5.64535i −0.131291 + 0.257674i
\(481\) 15.9853 8.14491i 0.728866 0.371376i
\(482\) −5.18426 + 15.9555i −0.236137 + 0.726754i
\(483\) 6.84577i 0.311493i
\(484\) 3.32738 + 1.08113i 0.151245 + 0.0491423i
\(485\) −33.6605 5.33131i −1.52845 0.242082i
\(486\) 20.1294 3.18819i 0.913089 0.144619i
\(487\) −35.1859 + 11.4326i −1.59442 + 0.518060i −0.965720 0.259585i \(-0.916414\pi\)
−0.628704 + 0.777645i \(0.716414\pi\)
\(488\) −1.04386 3.21268i −0.0472535 0.145431i
\(489\) −1.20094 1.20094i −0.0543082 0.0543082i
\(490\) 10.3409 14.2330i 0.467154 0.642982i
\(491\) 16.4508 0.742413 0.371206 0.928550i \(-0.378944\pi\)
0.371206 + 0.928550i \(0.378944\pi\)
\(492\) −1.56140 + 1.42106i −0.0703932 + 0.0640664i
\(493\) −2.95661 −0.133159
\(494\) −3.18416 + 4.38262i −0.143262 + 0.197184i
\(495\) −24.7912 24.7912i −1.11428 1.11428i
\(496\) 7.03618 + 21.6551i 0.315934 + 0.972344i
\(497\) 0.877595 0.285148i 0.0393655 0.0127906i
\(498\) −10.5989 + 1.67870i −0.474947 + 0.0752243i
\(499\) −2.45675 0.389111i −0.109979 0.0174190i 0.101202 0.994866i \(-0.467731\pi\)
−0.211181 + 0.977447i \(0.567731\pi\)
\(500\) −2.39405 0.777875i −0.107065 0.0347876i
\(501\) 3.94554i 0.176274i
\(502\) −8.18505 + 25.1910i −0.365317 + 1.12433i
\(503\) −31.9595 + 16.2842i −1.42501 + 0.726076i −0.985102 0.171969i \(-0.944987\pi\)
−0.439903 + 0.898045i \(0.644987\pi\)
\(504\) 5.39528 10.5888i 0.240325 0.471664i
\(505\) 0.937931 + 5.92187i 0.0417374 + 0.263520i
\(506\) −18.6582 + 18.6582i −0.829459 + 0.829459i
\(507\) −5.40377 2.75336i −0.239990 0.122281i
\(508\) 6.53309 4.74657i 0.289859 0.210595i
\(509\) −2.56872 5.04140i −0.113857 0.223456i 0.827045 0.562135i \(-0.190020\pi\)
−0.940902 + 0.338679i \(0.890020\pi\)
\(510\) −0.925822 0.672649i −0.0409961 0.0297854i
\(511\) 2.31423 14.6115i 0.102376 0.646374i
\(512\) 14.8651 + 20.4600i 0.656949 + 0.904213i
\(513\) 4.64532 + 6.39373i 0.205096 + 0.282290i
\(514\) 3.63797 22.9692i 0.160464 1.01313i
\(515\) −23.5913 17.1401i −1.03956 0.755283i
\(516\) 0.390343 + 0.766091i 0.0171839 + 0.0337253i
\(517\) −22.9621 + 16.6830i −1.00987 + 0.733715i
\(518\) 14.4397 + 7.35737i 0.634442 + 0.323264i
\(519\) 2.09013 2.09013i 0.0917467 0.0917467i
\(520\) 3.97351 + 25.0877i 0.174250 + 1.10017i
\(521\) 15.5944 30.6057i 0.683203 1.34086i −0.245268 0.969455i \(-0.578876\pi\)
0.928471 0.371405i \(-0.121124\pi\)
\(522\) −24.8578 + 12.6657i −1.08800 + 0.554361i
\(523\) 1.50152 4.62119i 0.0656567 0.202070i −0.912846 0.408304i \(-0.866120\pi\)
0.978503 + 0.206233i \(0.0661205\pi\)
\(524\) 5.57027i 0.243338i
\(525\) −9.67973 3.14514i −0.422458 0.137265i
\(526\) 27.0241 + 4.28019i 1.17831 + 0.186625i
\(527\) 2.23138 0.353416i 0.0972004 0.0153950i
\(528\) 11.2158 3.64423i 0.488104 0.158595i
\(529\) −0.466276 1.43505i −0.0202729 0.0623934i
\(530\) −3.79540 3.79540i −0.164862 0.164862i
\(531\) 4.40140 6.05801i 0.191005 0.262895i
\(532\) 1.16935 0.0506978
\(533\) −3.15363 + 15.2364i −0.136599 + 0.659960i
\(534\) 15.8871 0.687503
\(535\) 0.694356 0.955700i 0.0300196 0.0413185i
\(536\) −21.8783 21.8783i −0.944999 0.944999i
\(537\) 4.20591 + 12.9445i 0.181498 + 0.558595i
\(538\) 3.56457 1.15820i 0.153679 0.0499335i
\(539\) 17.7669 2.81399i 0.765273 0.121207i
\(540\) 5.91781 + 0.937288i 0.254662 + 0.0403345i
\(541\) 26.4078 + 8.58041i 1.13536 + 0.368901i 0.815610 0.578601i \(-0.196401\pi\)
0.319749 + 0.947502i \(0.396401\pi\)
\(542\) 14.2696i 0.612931i
\(543\) −0.642482 + 1.97736i −0.0275716 + 0.0848565i
\(544\) 0.585223 0.298186i 0.0250912 0.0127846i
\(545\) −0.0429608 + 0.0843152i −0.00184024 + 0.00361167i
\(546\) 0.713196 + 4.50294i 0.0305220 + 0.192708i
\(547\) 28.2679 28.2679i 1.20865 1.20865i 0.237183 0.971465i \(-0.423776\pi\)
0.971465 0.237183i \(-0.0762240\pi\)
\(548\) 0.325068 + 0.165630i 0.0138862 + 0.00707537i
\(549\) −2.04605 + 1.48655i −0.0873235 + 0.0634442i
\(550\) 17.8101 + 34.9544i 0.759427 + 1.49046i
\(551\) −13.7353 9.97927i −0.585143 0.425131i
\(552\) 1.87895 11.8632i 0.0799736 0.504933i
\(553\) −8.75782 12.0541i −0.372420 0.512593i
\(554\) −22.1295 30.4587i −0.940194 1.29407i
\(555\) −3.40448 + 21.4950i −0.144512 + 0.912414i
\(556\) −2.36526 1.71846i −0.100309 0.0728790i
\(557\) 5.77051 + 11.3253i 0.244504 + 0.479867i 0.980346 0.197287i \(-0.0632131\pi\)
−0.735841 + 0.677154i \(0.763213\pi\)
\(558\) 17.2464 12.5302i 0.730097 0.530446i
\(559\) 5.64587 + 2.87671i 0.238795 + 0.121672i
\(560\) −12.9740 + 12.9740i −0.548253 + 0.548253i
\(561\) −0.183043 1.15569i −0.00772810 0.0487933i
\(562\) 1.42183 2.79050i 0.0599763 0.117710i
\(563\) 7.15381 3.64505i 0.301497 0.153621i −0.296697 0.954972i \(-0.595885\pi\)
0.598194 + 0.801351i \(0.295885\pi\)
\(564\) 0.645526 1.98673i 0.0271816 0.0836563i
\(565\) 16.0333i 0.674526i
\(566\) −19.4437 6.31763i −0.817278 0.265550i
\(567\) −5.04785 0.799501i −0.211990 0.0335759i
\(568\) 1.59908 0.253269i 0.0670958 0.0106269i
\(569\) 0.559666 0.181847i 0.0234624 0.00762341i −0.297262 0.954796i \(-0.596074\pi\)
0.320725 + 0.947172i \(0.396074\pi\)
\(570\) −2.03066 6.24974i −0.0850551 0.261773i
\(571\) 23.7361 + 23.7361i 0.993324 + 0.993324i 0.999978 0.00665379i \(-0.00211798\pi\)
−0.00665379 + 0.999978i \(0.502118\pi\)
\(572\) −2.46826 + 3.39727i −0.103203 + 0.142047i
\(573\) 5.53930 0.231408
\(574\) −12.8090 + 5.78512i −0.534639 + 0.241466i
\(575\) 31.9517 1.33248
\(576\) 11.8590 16.3225i 0.494125 0.680104i
\(577\) 29.1837 + 29.1837i 1.21493 + 1.21493i 0.969385 + 0.245547i \(0.0789675\pi\)
0.245547 + 0.969385i \(0.421033\pi\)
\(578\) −6.63781 20.4291i −0.276097 0.849738i
\(579\) 1.02548 0.333200i 0.0426177 0.0138473i
\(580\) −12.7129 + 2.01352i −0.527874 + 0.0836070i
\(581\) 16.8608 + 2.67049i 0.699506 + 0.110791i
\(582\) −10.2071 3.31650i −0.423100 0.137473i
\(583\) 5.48813i 0.227295i
\(584\) 8.02082 24.6855i 0.331904 1.02149i
\(585\) 16.9442 8.63349i 0.700555 0.356951i
\(586\) 15.2687 29.9664i 0.630742 1.23790i
\(587\) 3.80777 + 24.0413i 0.157164 + 0.992292i 0.932612 + 0.360881i \(0.117524\pi\)
−0.775448 + 0.631411i \(0.782476\pi\)
\(588\) −0.936167 + 0.936167i −0.0386069 + 0.0386069i
\(589\) 11.5590 + 5.88959i 0.476279 + 0.242676i
\(590\) −11.6961 + 8.49770i −0.481520 + 0.349845i
\(591\) 1.31591 + 2.58261i 0.0541292 + 0.106234i
\(592\) 18.3953 + 13.3650i 0.756044 + 0.549298i
\(593\) 6.57408 41.5071i 0.269965 1.70449i −0.364220 0.931313i \(-0.618664\pi\)
0.634185 0.773181i \(-0.281336\pi\)
\(594\) −15.0688 20.7404i −0.618280 0.850990i
\(595\) 1.07006 + 1.47281i 0.0438681 + 0.0603793i
\(596\) −0.580964 + 3.66806i −0.0237972 + 0.150250i
\(597\) −5.35674 3.89190i −0.219237 0.159285i
\(598\) −6.49770 12.7525i −0.265711 0.521487i
\(599\) 13.7976 10.0245i 0.563755 0.409592i −0.269076 0.963119i \(-0.586718\pi\)
0.832831 + 0.553527i \(0.186718\pi\)
\(600\) −15.9111 8.10710i −0.649567 0.330971i
\(601\) −17.8450 + 17.8450i −0.727912 + 0.727912i −0.970203 0.242292i \(-0.922101\pi\)
0.242292 + 0.970203i \(0.422101\pi\)
\(602\) 0.895403 + 5.65335i 0.0364939 + 0.230413i
\(603\) −10.5166 + 20.6399i −0.428267 + 0.840522i
\(604\) −6.18671 + 3.15229i −0.251734 + 0.128265i
\(605\) −9.66513 + 29.7462i −0.392944 + 1.20936i
\(606\) 1.88815i 0.0767006i
\(607\) −0.0810629 0.0263389i −0.00329024 0.00106906i 0.307371 0.951590i \(-0.400551\pi\)
−0.310662 + 0.950521i \(0.600551\pi\)
\(608\) 3.72517 + 0.590008i 0.151075 + 0.0239280i
\(609\) −14.1124 + 2.23518i −0.571862 + 0.0905741i
\(610\) 4.64383 1.50887i 0.188023 0.0610924i
\(611\) −4.75734 14.6416i −0.192461 0.592336i
\(612\) −0.189149 0.189149i −0.00764590 0.00764590i
\(613\) −13.7750 + 18.9597i −0.556369 + 0.765776i −0.990859 0.134900i \(-0.956929\pi\)
0.434490 + 0.900677i \(0.356929\pi\)
\(614\) 14.5838 0.588553
\(615\) −12.7041 13.9586i −0.512277 0.562866i
\(616\) −23.4601 −0.945233
\(617\) −24.1173 + 33.1947i −0.970927 + 1.33637i −0.0293501 + 0.999569i \(0.509344\pi\)
−0.941577 + 0.336797i \(0.890656\pi\)
\(618\) −6.49346 6.49346i −0.261205 0.261205i
\(619\) −8.20387 25.2489i −0.329741 1.01484i −0.969255 0.246059i \(-0.920864\pi\)
0.639513 0.768780i \(-0.279136\pi\)
\(620\) 9.35382 3.03924i 0.375658 0.122059i
\(621\) −20.6231 + 3.26637i −0.827575 + 0.131075i
\(622\) −23.1169 3.66136i −0.926904 0.146807i
\(623\) −24.0365 7.80992i −0.963001 0.312898i
\(624\) 6.39663i 0.256070i
\(625\) −3.69513 + 11.3724i −0.147805 + 0.454897i
\(626\) −16.2766 + 8.29332i −0.650542 + 0.331468i
\(627\) 3.05038 5.98671i 0.121820 0.239086i
\(628\) 0.670113 + 4.23092i 0.0267404 + 0.168832i
\(629\) 1.59527 1.59527i 0.0636075 0.0636075i
\(630\) 15.3058 + 7.79870i 0.609798 + 0.310708i
\(631\) 16.7720 12.1856i 0.667683 0.485100i −0.201566 0.979475i \(-0.564603\pi\)
0.869249 + 0.494375i \(0.164603\pi\)
\(632\) −11.8682 23.2927i −0.472093 0.926534i
\(633\) 10.5195 + 7.64285i 0.418112 + 0.303776i
\(634\) −4.76097 + 30.0596i −0.189082 + 1.19382i
\(635\) 42.4335 + 58.4047i 1.68392 + 2.31772i
\(636\) 0.237422 + 0.326783i 0.00941438 + 0.0129578i
\(637\) −1.52634 + 9.63693i −0.0604758 + 0.381829i
\(638\) 44.5555 + 32.3714i 1.76397 + 1.28160i
\(639\) −0.550293 1.08001i −0.0217693 0.0427246i
\(640\) −19.5198 + 14.1820i −0.771588 + 0.560592i
\(641\) 9.14683 + 4.66054i 0.361278 + 0.184080i 0.625202 0.780463i \(-0.285017\pi\)
−0.263924 + 0.964544i \(0.585017\pi\)
\(642\) 0.263054 0.263054i 0.0103819 0.0103819i
\(643\) −6.58374 41.5681i −0.259637 1.63929i −0.680921 0.732357i \(-0.738420\pi\)
0.421284 0.906929i \(-0.361580\pi\)
\(644\) −1.40258 + 2.75272i −0.0552695 + 0.108473i
\(645\) −6.84872 + 3.48960i −0.269668 + 0.137403i
\(646\) −0.210508 + 0.647876i −0.00828232 + 0.0254904i
\(647\) 15.8237i 0.622093i −0.950395 0.311046i \(-0.899321\pi\)
0.950395 0.311046i \(-0.100679\pi\)
\(648\) −8.52814 2.77096i −0.335017 0.108854i
\(649\) −14.6001 2.31242i −0.573102 0.0907705i
\(650\) −21.0169 + 3.32875i −0.824350 + 0.130564i
\(651\) 10.3835 3.37381i 0.406963 0.132230i
\(652\) 0.236852 + 0.728955i 0.00927583 + 0.0285481i
\(653\) −27.7138 27.7138i −1.08452 1.08452i −0.996081 0.0884422i \(-0.971811\pi\)
−0.0884422 0.996081i \(-0.528189\pi\)
\(654\) −0.0175162 + 0.0241090i −0.000684939 + 0.000942737i
\(655\) −49.7972 −1.94574
\(656\) −19.0203 + 5.20550i −0.742616 + 0.203241i
\(657\) −19.4328 −0.758144
\(658\) 8.17404 11.2506i 0.318657 0.438594i
\(659\) 25.4024 + 25.4024i 0.989538 + 0.989538i 0.999946 0.0104074i \(-0.00331284\pi\)
−0.0104074 + 0.999946i \(0.503313\pi\)
\(660\) −1.57410 4.84459i −0.0612719 0.188576i
\(661\) 23.3250 7.57876i 0.907238 0.294779i 0.182017 0.983295i \(-0.441738\pi\)
0.725221 + 0.688516i \(0.241738\pi\)
\(662\) −1.41536 + 0.224171i −0.0550096 + 0.00871266i
\(663\) 0.626858 + 0.0992846i 0.0243452 + 0.00385590i
\(664\) 28.4857 + 9.25557i 1.10546 + 0.359186i
\(665\) 10.4538i 0.405381i
\(666\) 6.57836 20.2461i 0.254906 0.784521i
\(667\) 39.9666 20.3640i 1.54751 0.788498i
\(668\) −0.808375 + 1.58652i −0.0312770 + 0.0613845i
\(669\) 0.389982 + 2.46225i 0.0150776 + 0.0951960i
\(670\) 31.6244 31.6244i 1.22176 1.22176i
\(671\) 4.44839 + 2.26657i 0.171728 + 0.0874998i
\(672\) 2.56793 1.86571i 0.0990601 0.0719714i
\(673\) 3.77384 + 7.40657i 0.145471 + 0.285502i 0.952232 0.305375i \(-0.0987818\pi\)
−0.806762 + 0.590877i \(0.798782\pi\)
\(674\) 9.62341 + 6.99182i 0.370680 + 0.269315i
\(675\) −4.85625 + 30.6611i −0.186917 + 1.18015i
\(676\) 1.60877 + 2.21428i 0.0618758 + 0.0851648i
\(677\) 23.9553 + 32.9717i 0.920678 + 1.26720i 0.963386 + 0.268117i \(0.0864015\pi\)
−0.0427079 + 0.999088i \(0.513598\pi\)
\(678\) 0.789864 4.98700i 0.0303345 0.191525i
\(679\) 13.8126 + 10.0354i 0.530078 + 0.385124i
\(680\) 1.45010 + 2.84598i 0.0556087 + 0.109138i
\(681\) −11.4929 + 8.35008i −0.440409 + 0.319976i
\(682\) −37.4958 19.1051i −1.43579 0.731571i
\(683\) 26.6543 26.6543i 1.01990 1.01990i 0.0201019 0.999798i \(-0.493601\pi\)
0.999798 0.0201019i \(-0.00639908\pi\)
\(684\) −0.240291 1.51714i −0.00918775 0.0580092i
\(685\) −1.48071 + 2.90605i −0.0565749 + 0.111034i
\(686\) −21.5433 + 10.9769i −0.822527 + 0.419099i
\(687\) 3.27837 10.0898i 0.125077 0.384949i
\(688\) 8.03083i 0.306172i
\(689\) 2.83112 + 0.919887i 0.107857 + 0.0350449i
\(690\) 17.1479 + 2.71597i 0.652811 + 0.103395i
\(691\) −46.6639 + 7.39084i −1.77518 + 0.281161i −0.956211 0.292678i \(-0.905454\pi\)
−0.818968 + 0.573839i \(0.805454\pi\)
\(692\) −1.26869 + 0.412222i −0.0482283 + 0.0156703i
\(693\) 5.42762 + 16.7045i 0.206178 + 0.634552i
\(694\) 6.13862 + 6.13862i 0.233019 + 0.233019i
\(695\) 15.3628 21.1450i 0.582743 0.802077i
\(696\) −25.0693 −0.950248
\(697\) 0.214909 + 1.94475i 0.00814027 + 0.0736626i
\(698\) 4.69963 0.177884
\(699\) 1.53097 2.10720i 0.0579067 0.0797017i
\(700\) 3.24789 + 3.24789i 0.122759 + 0.122759i
\(701\) −7.16445 22.0499i −0.270597 0.832813i −0.990351 0.138583i \(-0.955745\pi\)
0.719753 0.694230i \(-0.244255\pi\)
\(702\) 13.2250 4.29705i 0.499144 0.162182i
\(703\) 12.7954 2.02659i 0.482588 0.0764344i
\(704\) −39.3379 6.23051i −1.48260 0.234821i
\(705\) 17.7610 + 5.77090i 0.668918 + 0.217345i
\(706\) 4.46935i 0.168206i
\(707\) 0.928190 2.85667i 0.0349082 0.107436i
\(708\) 0.969377 0.493922i 0.0364314 0.0185627i
\(709\) 3.28431 6.44583i 0.123345 0.242078i −0.821074 0.570821i \(-0.806625\pi\)
0.944419 + 0.328743i \(0.106625\pi\)
\(710\) 0.366092 + 2.31141i 0.0137392 + 0.0867458i
\(711\) −13.8396 + 13.8396i −0.519024 + 0.519024i
\(712\) −39.5100 20.1313i −1.48070 0.754454i
\(713\) −27.7289 + 20.1462i −1.03846 + 0.754482i
\(714\) 0.260275 + 0.510819i 0.00974055 + 0.0191169i
\(715\) −30.3710 22.0658i −1.13581 0.825215i
\(716\) 0.960881 6.06677i 0.0359098 0.226726i
\(717\) 6.88249 + 9.47294i 0.257031 + 0.353773i
\(718\) 11.1428 + 15.3368i 0.415846 + 0.572363i
\(719\) 3.36289 21.2325i 0.125415 0.791837i −0.842156 0.539235i \(-0.818714\pi\)
0.967570 0.252602i \(-0.0812864\pi\)
\(720\) 19.4988 + 14.1667i 0.726677 + 0.527962i
\(721\) 6.63219 + 13.0164i 0.246996 + 0.484757i
\(722\) 16.3651 11.8899i 0.609046 0.442497i
\(723\) 10.0564 + 5.12401i 0.374003 + 0.190564i
\(724\) 0.663474 0.663474i 0.0246578 0.0246578i
\(725\) −10.4324 65.8676i −0.387450 2.44626i
\(726\) −4.47166 + 8.77613i −0.165959 + 0.325713i
\(727\) 33.2699 16.9518i 1.23391 0.628709i 0.289406 0.957206i \(-0.406542\pi\)
0.944505 + 0.328498i \(0.106542\pi\)
\(728\) 3.93223 12.1022i 0.145738 0.448536i
\(729\) 4.83620i 0.179119i
\(730\) 35.6821 + 11.5938i 1.32066 + 0.429107i
\(731\) 0.787008 + 0.124650i 0.0291085 + 0.00461034i
\(732\) −0.362927 + 0.0574819i −0.0134142 + 0.00212459i
\(733\) 12.3995 4.02883i 0.457984 0.148808i −0.0709338 0.997481i \(-0.522598\pi\)
0.528918 + 0.848673i \(0.322598\pi\)
\(734\) 6.91954 + 21.2962i 0.255405 + 0.786056i
\(735\) −8.36917 8.36917i −0.308702 0.308702i
\(736\) −5.85708 + 8.06158i −0.215895 + 0.297154i
\(737\) 45.7287 1.68444
\(738\) 10.1378 + 15.4299i 0.373179 + 0.567981i
\(739\) −7.51921 −0.276599 −0.138299 0.990390i \(-0.544164\pi\)
−0.138299 + 0.990390i \(0.544164\pi\)
\(740\) 5.77294 7.94577i 0.212217 0.292092i
\(741\) 2.57703 + 2.57703i 0.0946696 + 0.0946696i
\(742\) 0.830942 + 2.55738i 0.0305048 + 0.0938842i
\(743\) −24.0292 + 7.80755i −0.881545 + 0.286431i −0.714599 0.699535i \(-0.753391\pi\)
−0.166946 + 0.985966i \(0.553391\pi\)
\(744\) 18.9200 2.99663i 0.693639 0.109862i
\(745\) −32.7919 5.19372i −1.20140 0.190283i
\(746\) 3.61784 + 1.17551i 0.132459 + 0.0430384i
\(747\) 22.4243i 0.820462i
\(748\) −0.163179 + 0.502213i −0.00596641 + 0.0183627i
\(749\) −0.527303 + 0.268674i −0.0192672 + 0.00981715i
\(750\) 3.21736 6.31443i 0.117481 0.230570i
\(751\) 3.97360 + 25.0883i 0.144999 + 0.915486i 0.947713 + 0.319123i \(0.103388\pi\)
−0.802715 + 0.596363i \(0.796612\pi\)
\(752\) 13.7968 13.7968i 0.503117 0.503117i
\(753\) 15.8774 + 8.08992i 0.578603 + 0.294813i
\(754\) −24.1673 + 17.5586i −0.880122 + 0.639446i
\(755\) −28.1809 55.3082i −1.02561 2.01287i
\(756\) −2.42837 1.76431i −0.0883188 0.0641674i
\(757\) 2.10412 13.2849i 0.0764754 0.482847i −0.919490 0.393113i \(-0.871398\pi\)
0.995966 0.0897341i \(-0.0286017\pi\)
\(758\) −23.8562 32.8352i −0.866496 1.19263i
\(759\) 10.4343 + 14.3616i 0.378740 + 0.521291i
\(760\) −2.86925 + 18.1157i −0.104079 + 0.657127i
\(761\) 6.67949 + 4.85293i 0.242131 + 0.175919i 0.702232 0.711948i \(-0.252187\pi\)
−0.460101 + 0.887867i \(0.652187\pi\)
\(762\) 10.3213 + 20.2566i 0.373900 + 0.733821i
\(763\) 0.0383529 0.0278650i 0.00138847 0.00100878i
\(764\) −2.22739