Properties

Label 189.2.bd.a.47.3
Level $189$
Weight $2$
Character 189.47
Analytic conductor $1.509$
Analytic rank $0$
Dimension $132$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 189 = 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 189.bd (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.50917259820\)
Analytic rank: \(0\)
Dimension: \(132\)
Relative dimension: \(22\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 47.3
Character \(\chi\) \(=\) 189.47
Dual form 189.2.bd.a.185.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.26715 - 0.399760i) q^{2} +(0.415691 - 1.68143i) q^{3} +(3.10078 + 1.12859i) q^{4} +(-1.73217 - 0.630457i) q^{5} +(-1.61460 + 3.64587i) q^{6} +(0.678971 - 2.55715i) q^{7} +(-2.59137 - 1.49613i) q^{8} +(-2.65440 - 1.39791i) q^{9} +O(q^{10})\) \(q+(-2.26715 - 0.399760i) q^{2} +(0.415691 - 1.68143i) q^{3} +(3.10078 + 1.12859i) q^{4} +(-1.73217 - 0.630457i) q^{5} +(-1.61460 + 3.64587i) q^{6} +(0.678971 - 2.55715i) q^{7} +(-2.59137 - 1.49613i) q^{8} +(-2.65440 - 1.39791i) q^{9} +(3.67505 + 2.12179i) q^{10} +(-0.0420027 - 0.115401i) q^{11} +(3.18661 - 4.74459i) q^{12} +(-0.0159063 + 0.0437022i) q^{13} +(-2.56157 + 5.52601i) q^{14} +(-1.78012 + 2.65044i) q^{15} +(0.221371 + 0.185752i) q^{16} +(0.0786230 - 0.136179i) q^{17} +(5.45910 + 4.23040i) q^{18} +(-6.57855 + 3.79813i) q^{19} +(-4.65954 - 3.90982i) q^{20} +(-4.01742 - 2.20463i) q^{21} +(0.0490936 + 0.278423i) q^{22} +(-0.957765 + 0.168880i) q^{23} +(-3.59284 + 3.73527i) q^{24} +(-1.22730 - 1.02982i) q^{25} +(0.0535324 - 0.0927208i) q^{26} +(-3.45390 + 3.88209i) q^{27} +(4.99131 - 7.16286i) q^{28} +(-3.33678 - 9.16772i) q^{29} +(5.09533 - 5.29732i) q^{30} +(-1.56144 + 4.29003i) q^{31} +(3.41914 + 4.07477i) q^{32} +(-0.211499 + 0.0226531i) q^{33} +(-0.232689 + 0.277308i) q^{34} +(-2.78826 + 4.00134i) q^{35} +(-6.65304 - 7.33034i) q^{36} +9.37436 q^{37} +(16.4329 - 5.98109i) q^{38} +(0.0668700 + 0.0449120i) q^{39} +(3.54543 + 4.22528i) q^{40} +(5.76925 + 2.09983i) q^{41} +(8.22676 + 6.60422i) q^{42} +(1.67890 - 9.52153i) q^{43} -0.405238i q^{44} +(3.71654 + 4.09490i) q^{45} +2.23891 q^{46} +(3.91757 - 1.42588i) q^{47} +(0.404351 - 0.295003i) q^{48} +(-6.07800 - 3.47246i) q^{49} +(2.37078 + 2.82539i) q^{50} +(-0.196292 - 0.188807i) q^{51} +(-0.0986438 + 0.117559i) q^{52} +(-0.141686 + 0.0818025i) q^{53} +(9.38241 - 7.42054i) q^{54} +0.226376i q^{55} +(-5.58527 + 5.61067i) q^{56} +(3.65163 + 12.6402i) q^{57} +(3.90009 + 22.1185i) q^{58} +(9.06906 - 7.60984i) q^{59} +(-8.51100 + 6.20940i) q^{60} +(1.03823 + 2.85251i) q^{61} +(5.25501 - 9.10194i) q^{62} +(-5.37692 + 5.83855i) q^{63} +(-6.41175 - 11.1055i) q^{64} +(0.0551048 - 0.0656713i) q^{65} +(0.488557 + 0.0331909i) q^{66} +(-1.70755 - 9.68399i) q^{67} +(0.397483 - 0.333527i) q^{68} +(-0.114175 + 1.68062i) q^{69} +(7.92099 - 7.95701i) q^{70} +(-0.863276 + 0.498413i) q^{71} +(4.78707 + 7.59381i) q^{72} -9.18511i q^{73} +(-21.2531 - 3.74749i) q^{74} +(-2.24175 + 1.63552i) q^{75} +(-24.6852 + 4.35266i) q^{76} +(-0.323617 + 0.0290528i) q^{77} +(-0.133650 - 0.128554i) q^{78} +(0.451399 - 2.56001i) q^{79} +(-0.266342 - 0.461318i) q^{80} +(5.09169 + 7.42123i) q^{81} +(-12.2403 - 7.06695i) q^{82} +(-6.02764 + 2.19388i) q^{83} +(-9.96899 - 11.3701i) q^{84} +(-0.222043 + 0.186316i) q^{85} +(-7.61265 + 20.9156i) q^{86} +(-16.8019 + 1.79961i) q^{87} +(-0.0638107 + 0.361889i) q^{88} +(-5.30203 - 9.18338i) q^{89} +(-6.78899 - 10.7695i) q^{90} +(0.100953 + 0.0703473i) q^{91} +(-3.16041 - 0.557266i) q^{92} +(6.56430 + 4.40878i) q^{93} +(-9.45173 + 1.66659i) q^{94} +(13.7897 - 2.43150i) q^{95} +(8.27274 - 4.05519i) q^{96} +(13.2580 + 2.33775i) q^{97} +(12.3916 + 10.3023i) q^{98} +(-0.0498289 + 0.365038i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132q - 3q^{2} - 9q^{3} - 3q^{4} - 9q^{5} + 18q^{6} - 6q^{7} - 18q^{8} - 15q^{9} + O(q^{10}) \) \( 132q - 3q^{2} - 9q^{3} - 3q^{4} - 9q^{5} + 18q^{6} - 6q^{7} - 18q^{8} - 15q^{9} - 9q^{10} + 9q^{11} - 9q^{12} - 42q^{14} - 24q^{15} - 15q^{16} - 9q^{17} - 3q^{18} - 9q^{19} - 18q^{20} + 15q^{21} - 12q^{22} + 30q^{23} - 36q^{24} - 3q^{25} - 12q^{28} + 6q^{29} - 3q^{30} - 9q^{31} - 51q^{32} - 9q^{33} + 18q^{34} - 9q^{35} - 6q^{37} - 9q^{38} - 9q^{39} - 9q^{40} + 27q^{42} - 12q^{43} - 63q^{45} - 6q^{46} + 45q^{47} + 30q^{49} - 9q^{50} + 33q^{51} - 9q^{52} + 45q^{53} + 117q^{54} - 51q^{56} - 3q^{58} - 9q^{59} - 15q^{60} - 63q^{61} + 99q^{62} - 33q^{63} + 18q^{64} - 102q^{65} + 63q^{66} - 3q^{67} + 144q^{68} - 108q^{69} - 15q^{70} + 18q^{71} + 15q^{72} - 33q^{74} - 9q^{75} - 36q^{76} - 57q^{77} + 66q^{78} - 21q^{79} - 72q^{80} + 57q^{81} - 18q^{82} + 90q^{83} + 51q^{84} + 9q^{85} - 33q^{86} - 9q^{87} + 45q^{88} - 9q^{89} - 81q^{90} - 21q^{91} + 150q^{92} - 87q^{93} - 9q^{94} + 27q^{95} - 9q^{96} - 180q^{98} + 96q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{7}{18}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.26715 0.399760i −1.60312 0.282673i −0.700674 0.713482i \(-0.747117\pi\)
−0.902443 + 0.430809i \(0.858228\pi\)
\(3\) 0.415691 1.68143i 0.240000 0.970773i
\(4\) 3.10078 + 1.12859i 1.55039 + 0.564295i
\(5\) −1.73217 0.630457i −0.774649 0.281949i −0.0757093 0.997130i \(-0.524122\pi\)
−0.698939 + 0.715181i \(0.746344\pi\)
\(6\) −1.61460 + 3.64587i −0.659159 + 1.48842i
\(7\) 0.678971 2.55715i 0.256627 0.966511i
\(8\) −2.59137 1.49613i −0.916186 0.528960i
\(9\) −2.65440 1.39791i −0.884800 0.465970i
\(10\) 3.67505 + 2.12179i 1.16215 + 0.670970i
\(11\) −0.0420027 0.115401i −0.0126643 0.0347949i 0.933199 0.359359i \(-0.117005\pi\)
−0.945864 + 0.324564i \(0.894782\pi\)
\(12\) 3.18661 4.74459i 0.919895 1.36964i
\(13\) −0.0159063 + 0.0437022i −0.00441162 + 0.0121208i −0.941879 0.335953i \(-0.890942\pi\)
0.937467 + 0.348073i \(0.113164\pi\)
\(14\) −2.56157 + 5.52601i −0.684609 + 1.47689i
\(15\) −1.78012 + 2.65044i −0.459624 + 0.684340i
\(16\) 0.221371 + 0.185752i 0.0553427 + 0.0464380i
\(17\) 0.0786230 0.136179i 0.0190689 0.0330283i −0.856334 0.516423i \(-0.827263\pi\)
0.875402 + 0.483395i \(0.160596\pi\)
\(18\) 5.45910 + 4.23040i 1.28672 + 0.997114i
\(19\) −6.57855 + 3.79813i −1.50922 + 0.871350i −0.509281 + 0.860600i \(0.670089\pi\)
−0.999942 + 0.0107502i \(0.996578\pi\)
\(20\) −4.65954 3.90982i −1.04190 0.874261i
\(21\) −4.01742 2.20463i −0.876672 0.481089i
\(22\) 0.0490936 + 0.278423i 0.0104668 + 0.0593601i
\(23\) −0.957765 + 0.168880i −0.199708 + 0.0352139i −0.272607 0.962125i \(-0.587886\pi\)
0.0728993 + 0.997339i \(0.476775\pi\)
\(24\) −3.59284 + 3.73527i −0.733385 + 0.762458i
\(25\) −1.22730 1.02982i −0.245459 0.205965i
\(26\) 0.0535324 0.0927208i 0.0104986 0.0181840i
\(27\) −3.45390 + 3.88209i −0.664703 + 0.747108i
\(28\) 4.99131 7.16286i 0.943269 1.35365i
\(29\) −3.33678 9.16772i −0.619624 1.70240i −0.707906 0.706307i \(-0.750360\pi\)
0.0882816 0.996096i \(-0.471862\pi\)
\(30\) 5.09533 5.29732i 0.930275 0.967155i
\(31\) −1.56144 + 4.29003i −0.280444 + 0.770512i 0.716866 + 0.697211i \(0.245576\pi\)
−0.997310 + 0.0733016i \(0.976646\pi\)
\(32\) 3.41914 + 4.07477i 0.604424 + 0.720325i
\(33\) −0.211499 + 0.0226531i −0.0368173 + 0.00394340i
\(34\) −0.232689 + 0.277308i −0.0399058 + 0.0475579i
\(35\) −2.78826 + 4.00134i −0.471303 + 0.676350i
\(36\) −6.65304 7.33034i −1.10884 1.22172i
\(37\) 9.37436 1.54113 0.770567 0.637358i \(-0.219973\pi\)
0.770567 + 0.637358i \(0.219973\pi\)
\(38\) 16.4329 5.98109i 2.66577 0.970261i
\(39\) 0.0668700 + 0.0449120i 0.0107078 + 0.00719167i
\(40\) 3.54543 + 4.22528i 0.560582 + 0.668076i
\(41\) 5.76925 + 2.09983i 0.901005 + 0.327939i 0.750656 0.660694i \(-0.229738\pi\)
0.150350 + 0.988633i \(0.451960\pi\)
\(42\) 8.22676 + 6.60422i 1.26942 + 1.01905i
\(43\) 1.67890 9.52153i 0.256030 1.45202i −0.537384 0.843338i \(-0.680587\pi\)
0.793414 0.608682i \(-0.208301\pi\)
\(44\) 0.405238i 0.0610919i
\(45\) 3.71654 + 4.09490i 0.554030 + 0.610432i
\(46\) 2.23891 0.330109
\(47\) 3.91757 1.42588i 0.571436 0.207986i −0.0401090 0.999195i \(-0.512771\pi\)
0.611545 + 0.791210i \(0.290548\pi\)
\(48\) 0.404351 0.295003i 0.0583630 0.0425801i
\(49\) −6.07800 3.47246i −0.868285 0.496065i
\(50\) 2.37078 + 2.82539i 0.335279 + 0.399570i
\(51\) −0.196292 0.188807i −0.0274864 0.0264383i
\(52\) −0.0986438 + 0.117559i −0.0136794 + 0.0163025i
\(53\) −0.141686 + 0.0818025i −0.0194621 + 0.0112364i −0.509699 0.860353i \(-0.670243\pi\)
0.490237 + 0.871589i \(0.336910\pi\)
\(54\) 9.38241 7.42054i 1.27678 1.00981i
\(55\) 0.226376i 0.0305245i
\(56\) −5.58527 + 5.61067i −0.746364 + 0.749758i
\(57\) 3.65163 + 12.6402i 0.483671 + 1.67424i
\(58\) 3.90009 + 22.1185i 0.512107 + 2.90430i
\(59\) 9.06906 7.60984i 1.18069 0.990717i 0.180717 0.983535i \(-0.442158\pi\)
0.999974 0.00718212i \(-0.00228616\pi\)
\(60\) −8.51100 + 6.20940i −1.09877 + 0.801630i
\(61\) 1.03823 + 2.85251i 0.132932 + 0.365227i 0.988244 0.152886i \(-0.0488568\pi\)
−0.855312 + 0.518113i \(0.826635\pi\)
\(62\) 5.25501 9.10194i 0.667387 1.15595i
\(63\) −5.37692 + 5.83855i −0.677429 + 0.735588i
\(64\) −6.41175 11.1055i −0.801469 1.38818i
\(65\) 0.0551048 0.0656713i 0.00683491 0.00814552i
\(66\) 0.488557 + 0.0331909i 0.0601372 + 0.00408552i
\(67\) −1.70755 9.68399i −0.208610 1.18309i −0.891656 0.452713i \(-0.850456\pi\)
0.683046 0.730375i \(-0.260655\pi\)
\(68\) 0.397483 0.333527i 0.0482018 0.0404461i
\(69\) −0.114175 + 1.68062i −0.0137451 + 0.202322i
\(70\) 7.92099 7.95701i 0.946739 0.951045i
\(71\) −0.863276 + 0.498413i −0.102452 + 0.0591507i −0.550351 0.834934i \(-0.685506\pi\)
0.447899 + 0.894084i \(0.352173\pi\)
\(72\) 4.78707 + 7.59381i 0.564162 + 0.894940i
\(73\) 9.18511i 1.07504i −0.843252 0.537518i \(-0.819362\pi\)
0.843252 0.537518i \(-0.180638\pi\)
\(74\) −21.2531 3.74749i −2.47062 0.435637i
\(75\) −2.24175 + 1.63552i −0.258855 + 0.188854i
\(76\) −24.6852 + 4.35266i −2.83158 + 0.499284i
\(77\) −0.323617 + 0.0290528i −0.0368796 + 0.00331087i
\(78\) −0.133650 0.128554i −0.0151329 0.0145559i
\(79\) 0.451399 2.56001i 0.0507864 0.288024i −0.948828 0.315793i \(-0.897729\pi\)
0.999614 + 0.0277696i \(0.00884048\pi\)
\(80\) −0.266342 0.461318i −0.0297780 0.0515769i
\(81\) 5.09169 + 7.42123i 0.565744 + 0.824581i
\(82\) −12.2403 7.06695i −1.35172 0.780414i
\(83\) −6.02764 + 2.19388i −0.661619 + 0.240810i −0.650935 0.759133i \(-0.725623\pi\)
−0.0106840 + 0.999943i \(0.503401\pi\)
\(84\) −9.96899 11.3701i −1.08771 1.24058i
\(85\) −0.222043 + 0.186316i −0.0240840 + 0.0202088i
\(86\) −7.61265 + 20.9156i −0.820893 + 2.25539i
\(87\) −16.8019 + 1.79961i −1.80136 + 0.192938i
\(88\) −0.0638107 + 0.361889i −0.00680225 + 0.0385775i
\(89\) −5.30203 9.18338i −0.562014 0.973436i −0.997321 0.0731541i \(-0.976694\pi\)
0.435307 0.900282i \(-0.356640\pi\)
\(90\) −6.78899 10.7695i −0.715622 1.13520i
\(91\) 0.100953 + 0.0703473i 0.0105828 + 0.00737440i
\(92\) −3.16041 0.557266i −0.329496 0.0580990i
\(93\) 6.56430 + 4.40878i 0.680686 + 0.457170i
\(94\) −9.45173 + 1.66659i −0.974871 + 0.171896i
\(95\) 13.7897 2.43150i 1.41479 0.249466i
\(96\) 8.27274 4.05519i 0.844333 0.413881i
\(97\) 13.2580 + 2.33775i 1.34615 + 0.237363i 0.799836 0.600218i \(-0.204920\pi\)
0.546313 + 0.837581i \(0.316031\pi\)
\(98\) 12.3916 + 10.3023i 1.25174 + 1.04069i
\(99\) −0.0498289 + 0.365038i −0.00500799 + 0.0366877i
\(100\) −2.64332 4.57837i −0.264332 0.457837i
\(101\) −2.41301 + 13.6848i −0.240103 + 1.36169i 0.591492 + 0.806311i \(0.298539\pi\)
−0.831595 + 0.555382i \(0.812572\pi\)
\(102\) 0.369546 + 0.506524i 0.0365906 + 0.0501534i
\(103\) −2.66808 + 7.33049i −0.262894 + 0.722295i 0.736075 + 0.676900i \(0.236677\pi\)
−0.998969 + 0.0453951i \(0.985545\pi\)
\(104\) 0.106603 0.0894506i 0.0104533 0.00877135i
\(105\) 5.56891 + 6.35159i 0.543470 + 0.619852i
\(106\) 0.353925 0.128818i 0.0343762 0.0125119i
\(107\) −6.46785 3.73421i −0.625271 0.361000i 0.153648 0.988126i \(-0.450898\pi\)
−0.778918 + 0.627126i \(0.784231\pi\)
\(108\) −15.0911 + 8.13945i −1.45214 + 0.783219i
\(109\) 4.37239 + 7.57320i 0.418799 + 0.725381i 0.995819 0.0913488i \(-0.0291178\pi\)
−0.577020 + 0.816730i \(0.695784\pi\)
\(110\) 0.0904958 0.513227i 0.00862844 0.0489343i
\(111\) 3.89684 15.7623i 0.369872 1.49609i
\(112\) 0.625299 0.439957i 0.0590852 0.0415720i
\(113\) 16.2059 2.85754i 1.52453 0.268815i 0.652317 0.757947i \(-0.273797\pi\)
0.872210 + 0.489131i \(0.162686\pi\)
\(114\) −3.22575 30.1170i −0.302119 2.82072i
\(115\) 1.76548 + 0.311302i 0.164632 + 0.0290291i
\(116\) 32.1929i 2.98904i
\(117\) 0.103314 0.0937676i 0.00955134 0.00866882i
\(118\) −23.6030 + 13.6272i −2.17283 + 1.25449i
\(119\) −0.294847 0.293512i −0.0270286 0.0269062i
\(120\) 8.57832 4.20498i 0.783090 0.383860i
\(121\) 8.41494 7.06097i 0.764994 0.641906i
\(122\) −1.21350 6.88212i −0.109865 0.623078i
\(123\) 5.92895 8.82769i 0.534595 0.795966i
\(124\) −9.68338 + 11.5402i −0.869593 + 1.03634i
\(125\) 6.08496 + 10.5395i 0.544255 + 0.942677i
\(126\) 14.5243 11.0874i 1.29393 0.987744i
\(127\) −2.14737 + 3.71936i −0.190549 + 0.330040i −0.945432 0.325819i \(-0.894360\pi\)
0.754884 + 0.655859i \(0.227693\pi\)
\(128\) 6.45831 + 17.7441i 0.570839 + 1.56837i
\(129\) −15.3119 6.78097i −1.34813 0.597031i
\(130\) −0.151184 + 0.126858i −0.0132597 + 0.0111262i
\(131\) 0.751230 + 4.26044i 0.0656353 + 0.372236i 0.999878 + 0.0155992i \(0.00496557\pi\)
−0.934243 + 0.356637i \(0.883923\pi\)
\(132\) −0.681379 0.168454i −0.0593064 0.0146620i
\(133\) 5.24572 + 19.4011i 0.454862 + 1.68229i
\(134\) 22.6377i 1.95560i
\(135\) 8.43022 4.54689i 0.725558 0.391334i
\(136\) −0.407482 + 0.235260i −0.0349413 + 0.0201733i
\(137\) 1.12676 1.34283i 0.0962660 0.114725i −0.715761 0.698346i \(-0.753920\pi\)
0.812027 + 0.583620i \(0.198364\pi\)
\(138\) 0.930695 3.76456i 0.0792260 0.320461i
\(139\) −8.74606 10.4232i −0.741831 0.884080i 0.254724 0.967014i \(-0.418015\pi\)
−0.996555 + 0.0829338i \(0.973571\pi\)
\(140\) −13.1617 + 9.26046i −1.11236 + 0.782652i
\(141\) −0.769013 7.17984i −0.0647625 0.604651i
\(142\) 2.15642 0.784874i 0.180963 0.0658651i
\(143\) 0.00571141 0.000477612
\(144\) −0.327942 0.802517i −0.0273285 0.0668764i
\(145\) 17.9837i 1.49347i
\(146\) −3.67184 + 20.8240i −0.303884 + 1.72341i
\(147\) −8.36526 + 8.77624i −0.689955 + 0.723852i
\(148\) 29.0678 + 10.5798i 2.38936 + 0.869655i
\(149\) −5.96077 7.10377i −0.488325 0.581963i 0.464465 0.885591i \(-0.346247\pi\)
−0.952791 + 0.303628i \(0.901802\pi\)
\(150\) 5.73620 2.81181i 0.468359 0.229583i
\(151\) −9.17350 + 3.33888i −0.746529 + 0.271714i −0.687144 0.726521i \(-0.741136\pi\)
−0.0593846 + 0.998235i \(0.518914\pi\)
\(152\) 22.7299 1.84364
\(153\) −0.399063 + 0.251566i −0.0322623 + 0.0203379i
\(154\) 0.745303 + 0.0635021i 0.0600582 + 0.00511714i
\(155\) 5.40936 6.44663i 0.434490 0.517806i
\(156\) 0.156662 + 0.214731i 0.0125430 + 0.0171922i
\(157\) −10.4023 12.3970i −0.830196 0.989388i −0.999992 0.00390940i \(-0.998756\pi\)
0.169797 0.985479i \(-0.445689\pi\)
\(158\) −2.04678 + 5.62348i −0.162833 + 0.447380i
\(159\) 0.0786473 + 0.272239i 0.00623714 + 0.0215900i
\(160\) −3.35355 9.21381i −0.265122 0.728415i
\(161\) −0.218444 + 2.56381i −0.0172158 + 0.202057i
\(162\) −8.57692 18.8605i −0.673867 1.48182i
\(163\) 5.65656 9.79745i 0.443056 0.767396i −0.554858 0.831945i \(-0.687228\pi\)
0.997915 + 0.0645491i \(0.0205609\pi\)
\(164\) 15.5193 + 13.0222i 1.21185 + 1.01687i
\(165\) 0.380634 + 0.0941024i 0.0296323 + 0.00732586i
\(166\) 14.5426 2.56425i 1.12872 0.199024i
\(167\) −0.331914 1.88238i −0.0256843 0.145663i 0.969269 0.246004i \(-0.0791176\pi\)
−0.994953 + 0.100341i \(0.968007\pi\)
\(168\) 7.11220 + 11.7235i 0.548718 + 0.904491i
\(169\) 9.95692 + 8.35485i 0.765917 + 0.642681i
\(170\) 0.577887 0.333643i 0.0443219 0.0255893i
\(171\) 22.7716 0.885531i 1.74138 0.0677183i
\(172\) 15.9518 27.6293i 1.21631 2.10672i
\(173\) −18.7471 15.7306i −1.42531 1.19598i −0.948420 0.317018i \(-0.897319\pi\)
−0.476893 0.878962i \(-0.658237\pi\)
\(174\) 38.8119 + 2.63675i 2.94232 + 0.199892i
\(175\) −3.46671 + 2.43915i −0.262058 + 0.184383i
\(176\) 0.0121379 0.0333486i 0.000914928 0.00251374i
\(177\) −9.02548 18.4123i −0.678396 1.38395i
\(178\) 8.34934 + 22.9396i 0.625810 + 1.71940i
\(179\) −15.9928 9.23345i −1.19536 0.690140i −0.235841 0.971792i \(-0.575785\pi\)
−0.959517 + 0.281651i \(0.909118\pi\)
\(180\) 6.90271 + 16.8918i 0.514497 + 1.25904i
\(181\) 5.58272 + 3.22319i 0.414960 + 0.239577i 0.692919 0.721016i \(-0.256324\pi\)
−0.277958 + 0.960593i \(0.589658\pi\)
\(182\) −0.200754 0.199845i −0.0148809 0.0148135i
\(183\) 5.22788 0.559944i 0.386456 0.0413922i
\(184\) 2.73459 + 0.995308i 0.201596 + 0.0733751i
\(185\) −16.2380 5.91013i −1.19384 0.434522i
\(186\) −13.1198 12.6195i −0.961990 0.925308i
\(187\) −0.0190176 0.00335332i −0.00139071 0.000245219i
\(188\) 13.7567 1.00331
\(189\) 7.58197 + 11.4679i 0.551507 + 0.834170i
\(190\) −32.2354 −2.33860
\(191\) 9.88047 + 1.74219i 0.714926 + 0.126061i 0.519268 0.854612i \(-0.326205\pi\)
0.195658 + 0.980672i \(0.437316\pi\)
\(192\) −21.3384 + 6.16445i −1.53996 + 0.444881i
\(193\) 23.1247 + 8.41671i 1.66455 + 0.605848i 0.991069 0.133353i \(-0.0425745\pi\)
0.673485 + 0.739201i \(0.264797\pi\)
\(194\) −29.1234 10.6001i −2.09094 0.761040i
\(195\) −0.0875150 0.119954i −0.00626708 0.00859006i
\(196\) −14.9275 17.6269i −1.06625 1.25906i
\(197\) 12.0988 + 6.98527i 0.862007 + 0.497680i 0.864684 0.502316i \(-0.167519\pi\)
−0.00267677 + 0.999996i \(0.500852\pi\)
\(198\) 0.258897 0.807676i 0.0183990 0.0573990i
\(199\) 11.1535 + 6.43950i 0.790654 + 0.456484i 0.840193 0.542288i \(-0.182442\pi\)
−0.0495388 + 0.998772i \(0.515775\pi\)
\(200\) 1.63963 + 4.50484i 0.115939 + 0.318540i
\(201\) −16.9928 1.15443i −1.19858 0.0814273i
\(202\) 10.9413 30.0610i 0.769827 2.11508i
\(203\) −25.7088 + 2.30801i −1.80440 + 0.161991i
\(204\) −0.395572 0.806983i −0.0276956 0.0565001i
\(205\) −8.66945 7.27453i −0.605500 0.508075i
\(206\) 8.97937 15.5527i 0.625623 1.08361i
\(207\) 2.77837 + 0.890595i 0.193110 + 0.0619006i
\(208\) −0.0116390 + 0.00671976i −0.000807017 + 0.000465931i
\(209\) 0.714627 + 0.599643i 0.0494318 + 0.0414782i
\(210\) −10.0865 16.6262i −0.696031 1.14732i
\(211\) −0.918282 5.20784i −0.0632171 0.358522i −0.999964 0.00851397i \(-0.997290\pi\)
0.936747 0.350008i \(-0.113821\pi\)
\(212\) −0.531658 + 0.0937457i −0.0365144 + 0.00643848i
\(213\) 0.479189 + 1.65872i 0.0328335 + 0.113654i
\(214\) 13.1708 + 11.0516i 0.900337 + 0.755472i
\(215\) −8.91106 + 15.4344i −0.607729 + 1.05262i
\(216\) 14.7584 4.89244i 1.00418 0.332888i
\(217\) 9.91006 + 6.90565i 0.672739 + 0.468786i
\(218\) −6.88541 18.9175i −0.466339 1.28125i
\(219\) −15.4441 3.81817i −1.04362 0.258008i
\(220\) −0.255485 + 0.701940i −0.0172248 + 0.0473248i
\(221\) 0.00470072 + 0.00560210i 0.000316205 + 0.000376838i
\(222\) −15.1359 + 34.1777i −1.01585 + 2.29386i
\(223\) 5.38046 6.41218i 0.360302 0.429392i −0.555192 0.831722i \(-0.687355\pi\)
0.915495 + 0.402330i \(0.131800\pi\)
\(224\) 12.7413 5.97659i 0.851313 0.399328i
\(225\) 1.81813 + 4.44921i 0.121209 + 0.296614i
\(226\) −37.8836 −2.51998
\(227\) −18.9673 + 6.90355i −1.25891 + 0.458205i −0.883402 0.468616i \(-0.844753\pi\)
−0.375505 + 0.926820i \(0.622531\pi\)
\(228\) −2.94272 + 43.3157i −0.194887 + 2.86865i
\(229\) 3.73395 + 4.44995i 0.246746 + 0.294061i 0.875175 0.483806i \(-0.160746\pi\)
−0.628429 + 0.777867i \(0.716302\pi\)
\(230\) −3.87817 1.41154i −0.255719 0.0930740i
\(231\) −0.0856747 + 0.556216i −0.00563698 + 0.0365963i
\(232\) −5.06925 + 28.7491i −0.332813 + 1.88747i
\(233\) 6.16220i 0.403699i −0.979417 0.201850i \(-0.935305\pi\)
0.979417 0.201850i \(-0.0646952\pi\)
\(234\) −0.271712 + 0.171285i −0.0177624 + 0.0111972i
\(235\) −7.68484 −0.501304
\(236\) 36.7095 13.3612i 2.38959 0.869738i
\(237\) −4.11683 1.82317i −0.267417 0.118428i
\(238\) 0.551128 + 0.783304i 0.0357243 + 0.0507740i
\(239\) 11.9974 + 14.2979i 0.776046 + 0.924856i 0.998748 0.0500310i \(-0.0159320\pi\)
−0.222702 + 0.974887i \(0.571488\pi\)
\(240\) −0.886390 + 0.256069i −0.0572162 + 0.0165292i
\(241\) −7.83296 + 9.33496i −0.504565 + 0.601318i −0.956859 0.290551i \(-0.906161\pi\)
0.452294 + 0.891869i \(0.350606\pi\)
\(242\) −21.9006 + 12.6443i −1.40782 + 0.812808i
\(243\) 14.5948 5.47637i 0.936259 0.351310i
\(244\) 10.0167i 0.641256i
\(245\) 8.33887 + 9.84679i 0.532751 + 0.629089i
\(246\) −16.9708 + 17.6436i −1.08202 + 1.12491i
\(247\) −0.0613462 0.347912i −0.00390336 0.0221371i
\(248\) 10.4647 8.78092i 0.664509 0.557589i
\(249\) 1.18322 + 11.0470i 0.0749833 + 0.700076i
\(250\) −9.58226 26.3270i −0.606035 1.66507i
\(251\) −1.90241 + 3.29506i −0.120079 + 0.207983i −0.919799 0.392391i \(-0.871648\pi\)
0.799720 + 0.600373i \(0.204981\pi\)
\(252\) −23.2620 + 12.0357i −1.46537 + 0.758178i
\(253\) 0.0597177 + 0.103434i 0.00375442 + 0.00650285i
\(254\) 6.35527 7.57392i 0.398765 0.475230i
\(255\) 0.220976 + 0.450800i 0.0138381 + 0.0282302i
\(256\) −3.09504 17.5528i −0.193440 1.09705i
\(257\) 16.8941 14.1758i 1.05382 0.884262i 0.0603326 0.998178i \(-0.480784\pi\)
0.993490 + 0.113916i \(0.0363394\pi\)
\(258\) 32.0035 + 21.4946i 1.99245 + 1.33819i
\(259\) 6.36492 23.9716i 0.395497 1.48952i
\(260\) 0.244984 0.141441i 0.0151932 0.00877182i
\(261\) −3.95851 + 28.9993i −0.245025 + 1.79501i
\(262\) 9.95936i 0.615291i
\(263\) −1.87472 0.330563i −0.115600 0.0203834i 0.115549 0.993302i \(-0.463137\pi\)
−0.231149 + 0.972918i \(0.574248\pi\)
\(264\) 0.581964 + 0.257727i 0.0358174 + 0.0158620i
\(265\) 0.296997 0.0523686i 0.0182444 0.00321698i
\(266\) −4.13705 46.0823i −0.253659 2.82549i
\(267\) −17.6452 + 5.09752i −1.07987 + 0.311963i
\(268\) 5.63453 31.9550i 0.344184 1.95196i
\(269\) −6.11936 10.5990i −0.373104 0.646235i 0.616937 0.787012i \(-0.288373\pi\)
−0.990041 + 0.140777i \(0.955040\pi\)
\(270\) −20.9302 + 6.93841i −1.27377 + 0.422258i
\(271\) 10.1008 + 5.83167i 0.613577 + 0.354249i 0.774364 0.632740i \(-0.218070\pi\)
−0.160787 + 0.986989i \(0.551403\pi\)
\(272\) 0.0427003 0.0155416i 0.00258909 0.000942351i
\(273\) 0.160249 0.140503i 0.00969873 0.00850360i
\(274\) −3.09135 + 2.59395i −0.186755 + 0.156706i
\(275\) −0.0672934 + 0.184887i −0.00405794 + 0.0111491i
\(276\) −2.25076 + 5.08236i −0.135480 + 0.305922i
\(277\) −3.29023 + 18.6598i −0.197691 + 1.12116i 0.710843 + 0.703351i \(0.248314\pi\)
−0.908534 + 0.417811i \(0.862798\pi\)
\(278\) 15.6619 + 27.1272i 0.939337 + 1.62698i
\(279\) 10.1418 9.20471i 0.607172 0.551071i
\(280\) 13.2119 6.19735i 0.789563 0.370362i
\(281\) 0.401346 + 0.0707682i 0.0239423 + 0.00422168i 0.185607 0.982624i \(-0.440575\pi\)
−0.161664 + 0.986846i \(0.551686\pi\)
\(282\) −1.12674 + 16.5852i −0.0670965 + 0.987634i
\(283\) 4.58326 0.808153i 0.272447 0.0480397i −0.0357555 0.999361i \(-0.511384\pi\)
0.308202 + 0.951321i \(0.400273\pi\)
\(284\) −3.23933 + 0.571182i −0.192219 + 0.0338934i
\(285\) 1.64387 24.1972i 0.0973747 1.43332i
\(286\) −0.0129486 0.00228319i −0.000765668 0.000135008i
\(287\) 9.28674 13.3271i 0.548179 0.786673i
\(288\) −3.37960 15.5957i −0.199145 0.918987i
\(289\) 8.48764 + 14.7010i 0.499273 + 0.864766i
\(290\) 7.18917 40.7718i 0.422162 2.39420i
\(291\) 9.44201 21.3207i 0.553500 1.24984i
\(292\) 10.3662 28.4810i 0.606638 1.66672i
\(293\) −6.35829 + 5.33524i −0.371455 + 0.311688i −0.809337 0.587345i \(-0.800173\pi\)
0.437882 + 0.899033i \(0.355729\pi\)
\(294\) 22.4737 16.5530i 1.31069 0.965389i
\(295\) −20.5068 + 7.46387i −1.19395 + 0.434563i
\(296\) −24.2924 14.0252i −1.41197 0.815199i
\(297\) 0.593072 + 0.235527i 0.0344135 + 0.0136667i
\(298\) 10.6742 + 18.4882i 0.618338 + 1.07099i
\(299\) 0.00785408 0.0445427i 0.000454213 0.00257597i
\(300\) −8.79700 + 2.54137i −0.507895 + 0.146726i
\(301\) −23.2080 10.7580i −1.33769 0.620083i
\(302\) 22.1325 3.90255i 1.27358 0.224567i
\(303\) 22.0070 + 9.74597i 1.26427 + 0.559891i
\(304\) −2.16181 0.381185i −0.123988 0.0218625i
\(305\) 5.59559i 0.320402i
\(306\) 1.00530 0.410808i 0.0574693 0.0234843i
\(307\) −5.10853 + 2.94941i −0.291559 + 0.168332i −0.638645 0.769502i \(-0.720505\pi\)
0.347086 + 0.937833i \(0.387171\pi\)
\(308\) −1.03625 0.275145i −0.0590460 0.0156778i
\(309\) 11.2166 + 7.53341i 0.638090 + 0.428561i
\(310\) −14.8409 + 12.4530i −0.842909 + 0.707284i
\(311\) 2.35699 + 13.3671i 0.133653 + 0.757981i 0.975789 + 0.218716i \(0.0701869\pi\)
−0.842136 + 0.539265i \(0.818702\pi\)
\(312\) −0.106091 0.216429i −0.00600621 0.0122529i
\(313\) 3.67401 4.37851i 0.207667 0.247488i −0.652150 0.758090i \(-0.726133\pi\)
0.859817 + 0.510602i \(0.170577\pi\)
\(314\) 18.6278 + 32.2643i 1.05123 + 1.82078i
\(315\) 12.9947 6.72343i 0.732168 0.378822i
\(316\) 4.28889 7.42858i 0.241269 0.417890i
\(317\) 0.823688 + 2.26306i 0.0462629 + 0.127106i 0.960672 0.277684i \(-0.0895668\pi\)
−0.914410 + 0.404790i \(0.867345\pi\)
\(318\) −0.0694749 0.648648i −0.00389596 0.0363744i
\(319\) −0.917815 + 0.770138i −0.0513878 + 0.0431194i
\(320\) 4.10470 + 23.2789i 0.229459 + 1.30133i
\(321\) −8.96744 + 9.32294i −0.500514 + 0.520356i
\(322\) 1.52015 5.72522i 0.0847149 0.319054i
\(323\) 1.19448i 0.0664627i
\(324\) 7.41267 + 28.7580i 0.411815 + 1.59767i
\(325\) 0.0645273 0.0372549i 0.00357933 0.00206653i
\(326\) −16.7409 + 19.9510i −0.927193 + 1.10499i
\(327\) 14.5514 4.20375i 0.804692 0.232468i
\(328\) −11.8086 14.0730i −0.652022 0.777049i
\(329\) −0.986264 10.9859i −0.0543745 0.605674i
\(330\) −0.825337 0.365506i −0.0454333 0.0201205i
\(331\) −9.95637 + 3.62382i −0.547251 + 0.199183i −0.600825 0.799381i \(-0.705161\pi\)
0.0535735 + 0.998564i \(0.482939\pi\)
\(332\) −21.1664 −1.16165
\(333\) −24.8833 13.1045i −1.36360 0.718123i
\(334\) 4.40032i 0.240775i
\(335\) −3.14758 + 17.8508i −0.171971 + 0.975295i
\(336\) −0.479824 1.23428i −0.0261766 0.0673356i
\(337\) −21.6242 7.87058i −1.17795 0.428738i −0.322471 0.946579i \(-0.604514\pi\)
−0.855477 + 0.517841i \(0.826736\pi\)
\(338\) −19.2339 22.9221i −1.04619 1.24680i
\(339\) 1.93191 28.4370i 0.104927 1.54448i
\(340\) −0.898781 + 0.327130i −0.0487432 + 0.0177411i
\(341\) 0.560661 0.0303615
\(342\) −51.9805 7.09552i −2.81079 0.383682i
\(343\) −13.0064 + 13.1846i −0.702278 + 0.711903i
\(344\) −18.5961 + 22.1619i −1.00263 + 1.19489i
\(345\) 1.25733 2.83912i 0.0676922 0.152853i
\(346\) 36.2139 + 43.1581i 1.94687 + 2.32019i
\(347\) 1.31719 3.61896i 0.0707106 0.194276i −0.899303 0.437326i \(-0.855926\pi\)
0.970014 + 0.243050i \(0.0781479\pi\)
\(348\) −54.1301 13.3823i −2.90168 0.717367i
\(349\) 0.721690 + 1.98283i 0.0386312 + 0.106138i 0.957508 0.288405i \(-0.0931250\pi\)
−0.918877 + 0.394543i \(0.870903\pi\)
\(350\) 8.83462 4.14408i 0.472230 0.221510i
\(351\) −0.114717 0.212693i −0.00612314 0.0113527i
\(352\) 0.326622 0.565725i 0.0174090 0.0301533i
\(353\) 9.41323 + 7.89864i 0.501016 + 0.420402i 0.857955 0.513726i \(-0.171735\pi\)
−0.356939 + 0.934128i \(0.616180\pi\)
\(354\) 13.1016 + 45.3515i 0.696343 + 2.41041i
\(355\) 1.80957 0.319075i 0.0960418 0.0169348i
\(356\) −6.07613 34.4594i −0.322034 1.82635i
\(357\) −0.616085 + 0.373753i −0.0326067 + 0.0197811i
\(358\) 32.5669 + 27.3269i 1.72122 + 1.44427i
\(359\) −26.4895 + 15.2937i −1.39806 + 0.807170i −0.994189 0.107646i \(-0.965669\pi\)
−0.403871 + 0.914816i \(0.632335\pi\)
\(360\) −3.50444 16.1718i −0.184700 0.852329i
\(361\) 19.3516 33.5179i 1.01850 1.76410i
\(362\) −11.3684 9.53919i −0.597508 0.501369i
\(363\) −8.37450 17.0843i −0.439547 0.896693i
\(364\) 0.233640 + 0.332066i 0.0122460 + 0.0174050i
\(365\) −5.79082 + 15.9102i −0.303105 + 0.832775i
\(366\) −12.0762 0.820419i −0.631235 0.0428840i
\(367\) −4.68686 12.8771i −0.244652 0.672177i −0.999861 0.0166920i \(-0.994687\pi\)
0.755208 0.655485i \(-0.227536\pi\)
\(368\) −0.243391 0.140522i −0.0126876 0.00732520i
\(369\) −12.3785 13.6387i −0.644400 0.710002i
\(370\) 34.4513 + 19.8904i 1.79104 + 1.03405i
\(371\) 0.112980 + 0.417853i 0.00586564 + 0.0216939i
\(372\) 15.3787 + 21.0791i 0.797349 + 1.09290i
\(373\) 10.9812 + 3.99683i 0.568585 + 0.206948i 0.610285 0.792182i \(-0.291055\pi\)
−0.0416995 + 0.999130i \(0.513277\pi\)
\(374\) 0.0417753 + 0.0152050i 0.00216015 + 0.000786230i
\(375\) 20.2508 5.85026i 1.04575 0.302106i
\(376\) −12.2851 2.16620i −0.633558 0.111713i
\(377\) 0.453725 0.0233681
\(378\) −12.6050 29.0305i −0.648333 1.49317i
\(379\) −12.7028 −0.652500 −0.326250 0.945283i \(-0.605785\pi\)
−0.326250 + 0.945283i \(0.605785\pi\)
\(380\) 45.5030 + 8.02340i 2.33425 + 0.411592i
\(381\) 5.36119 + 5.15676i 0.274662 + 0.264189i
\(382\) −21.7040 7.89963i −1.11048 0.404180i
\(383\) −7.52651 2.73942i −0.384587 0.139978i 0.142489 0.989796i \(-0.454489\pi\)
−0.527076 + 0.849818i \(0.676712\pi\)
\(384\) 32.5200 3.48313i 1.65953 0.177748i
\(385\) 0.578876 + 0.153702i 0.0295022 + 0.00783340i
\(386\) −49.0625 28.3263i −2.49722 1.44177i
\(387\) −17.7667 + 22.9270i −0.903134 + 1.16545i
\(388\) 38.4719 + 22.2117i 1.95311 + 1.12763i
\(389\) −4.38258 12.0411i −0.222206 0.610506i 0.777628 0.628724i \(-0.216423\pi\)
−0.999834 + 0.0182189i \(0.994200\pi\)
\(390\) 0.150457 + 0.306938i 0.00761869 + 0.0155424i
\(391\) −0.0523045 + 0.143705i −0.00264515 + 0.00726749i
\(392\) 10.5551 + 18.0919i 0.533112 + 0.913776i
\(393\) 7.47590 + 0.507888i 0.377109 + 0.0256195i
\(394\) −24.6375 20.6733i −1.24122 1.04151i
\(395\) −2.39588 + 4.14978i −0.120550 + 0.208798i
\(396\) −0.566487 + 1.07566i −0.0284670 + 0.0540542i
\(397\) 8.65774 4.99855i 0.434520 0.250870i −0.266750 0.963766i \(-0.585950\pi\)
0.701270 + 0.712896i \(0.252617\pi\)
\(398\) −22.7125 19.0581i −1.13848 0.955294i
\(399\) 34.8022 0.755422i 1.74229 0.0378184i
\(400\) −0.0803954 0.455945i −0.00401977 0.0227973i
\(401\) 36.5039 6.43662i 1.82292 0.321429i 0.845698 0.533662i \(-0.179185\pi\)
0.977219 + 0.212233i \(0.0680735\pi\)
\(402\) 38.0636 + 9.41029i 1.89844 + 0.469343i
\(403\) −0.162647 0.136477i −0.00810203 0.00679841i
\(404\) −22.9268 + 39.7104i −1.14065 + 1.97566i
\(405\) −4.14089 16.0649i −0.205763 0.798272i
\(406\) 59.2083 + 5.04473i 2.93846 + 0.250366i
\(407\) −0.393748 1.08181i −0.0195174 0.0536236i
\(408\) 0.226186 + 0.782947i 0.0111979 + 0.0387616i
\(409\) −0.800841 + 2.20029i −0.0395990 + 0.108797i −0.957916 0.287048i \(-0.907326\pi\)
0.918317 + 0.395845i \(0.129548\pi\)
\(410\) 16.7469 + 19.9581i 0.827069 + 0.985663i
\(411\) −1.78948 2.45277i −0.0882685 0.120986i
\(412\) −16.5462 + 19.7190i −0.815175 + 0.971488i
\(413\) −13.3019 28.3578i −0.654542 1.39539i
\(414\) −5.94296 3.12979i −0.292081 0.153821i
\(415\) 11.8240 0.580419
\(416\) −0.232462 + 0.0846094i −0.0113974 + 0.00414832i
\(417\) −21.1614 + 10.3731i −1.03628 + 0.507971i
\(418\) −1.38045 1.64516i −0.0675202 0.0804674i
\(419\) 28.6465 + 10.4265i 1.39947 + 0.509366i 0.928022 0.372526i \(-0.121508\pi\)
0.471451 + 0.881892i \(0.343730\pi\)
\(420\) 10.0996 + 25.9799i 0.492811 + 1.26769i
\(421\) 0.369085 2.09318i 0.0179881 0.102015i −0.974492 0.224423i \(-0.927950\pi\)
0.992480 + 0.122407i \(0.0390614\pi\)
\(422\) 12.1740i 0.592623i
\(423\) −12.3921 1.69156i −0.602522 0.0822463i
\(424\) 0.489547 0.0237745
\(425\) −0.236734 + 0.0861641i −0.0114833 + 0.00417957i
\(426\) −0.423302 3.95213i −0.0205091 0.191482i
\(427\) 7.99922 0.718132i 0.387109 0.0347528i
\(428\) −15.8410 18.8785i −0.765702 0.912528i
\(429\) 0.00237418 0.00960332i 0.000114627 0.000463653i
\(430\) 26.3728 31.4298i 1.27181 1.51568i
\(431\) −1.02928 + 0.594254i −0.0495786 + 0.0286242i −0.524584 0.851358i \(-0.675779\pi\)
0.475006 + 0.879983i \(0.342446\pi\)
\(432\) −1.48570 + 0.217811i −0.0714806 + 0.0104795i
\(433\) 11.1104i 0.533930i −0.963706 0.266965i \(-0.913979\pi\)
0.963706 0.266965i \(-0.0860208\pi\)
\(434\) −19.7070 19.6178i −0.945966 0.941684i
\(435\) 30.2383 + 7.47568i 1.44982 + 0.358431i
\(436\) 5.01076 + 28.4175i 0.239972 + 1.36095i
\(437\) 5.65928 4.74870i 0.270720 0.227161i
\(438\) 33.4878 + 14.8303i 1.60011 + 0.708619i
\(439\) 1.90318 + 5.22894i 0.0908337 + 0.249564i 0.976788 0.214209i \(-0.0687175\pi\)
−0.885954 + 0.463773i \(0.846495\pi\)
\(440\) 0.338686 0.586622i 0.0161462 0.0279661i
\(441\) 11.2793 + 17.7138i 0.537107 + 0.843514i
\(442\) −0.00841775 0.0145800i −0.000400391 0.000693498i
\(443\) 17.4915 20.8455i 0.831046 0.990402i −0.168943 0.985626i \(-0.554035\pi\)
0.999989 0.00477585i \(-0.00152021\pi\)
\(444\) 29.8724 44.4775i 1.41768 2.11081i
\(445\) 3.39427 + 19.2498i 0.160904 + 0.912530i
\(446\) −14.7616 + 12.3865i −0.698984 + 0.586517i
\(447\) −14.4223 + 7.06963i −0.682152 + 0.334382i
\(448\) −32.7517 + 8.85549i −1.54737 + 0.418382i
\(449\) −21.3299 + 12.3148i −1.00662 + 0.581171i −0.910200 0.414170i \(-0.864072\pi\)
−0.0964182 + 0.995341i \(0.530739\pi\)
\(450\) −2.34337 10.8139i −0.110467 0.509770i
\(451\) 0.753979i 0.0355035i
\(452\) 53.4760 + 9.42926i 2.51530 + 0.443515i
\(453\) 1.80074 + 16.8125i 0.0846063 + 0.789922i
\(454\) 45.7616 8.06900i 2.14770 0.378697i
\(455\) −0.130517 0.185500i −0.00611871 0.00869637i
\(456\) 9.44863 38.2187i 0.442473 1.78976i
\(457\) −1.22308 + 6.93645i −0.0572134 + 0.324473i −0.999959 0.00903894i \(-0.997123\pi\)
0.942746 + 0.333512i \(0.108234\pi\)
\(458\) −6.68651 11.5814i −0.312440 0.541162i
\(459\) 0.257103 + 0.775569i 0.0120005 + 0.0362005i
\(460\) 5.12303 + 2.95778i 0.238863 + 0.137907i
\(461\) −6.82236 + 2.48314i −0.317749 + 0.115651i −0.495971 0.868339i \(-0.665188\pi\)
0.178222 + 0.983990i \(0.442966\pi\)
\(462\) 0.416590 1.22678i 0.0193815 0.0570748i
\(463\) 6.25076 5.24501i 0.290498 0.243756i −0.485878 0.874026i \(-0.661500\pi\)
0.776376 + 0.630270i \(0.217056\pi\)
\(464\) 0.964258 2.64928i 0.0447645 0.122990i
\(465\) −8.59092 11.7753i −0.398394 0.546065i
\(466\) −2.46340 + 13.9706i −0.114115 + 0.647177i
\(467\) 6.38140 + 11.0529i 0.295296 + 0.511468i 0.975054 0.221969i \(-0.0712484\pi\)
−0.679758 + 0.733437i \(0.737915\pi\)
\(468\) 0.426177 0.174154i 0.0197001 0.00805027i
\(469\) −25.9228 2.20870i −1.19700 0.101988i
\(470\) 17.4227 + 3.07209i 0.803649 + 0.141705i
\(471\) −25.1688 + 12.3374i −1.15972 + 0.568479i
\(472\) −34.8865 + 6.15144i −1.60578 + 0.283143i
\(473\) −1.16932 + 0.206182i −0.0537653 + 0.00948027i
\(474\) 8.60465 + 5.77914i 0.395224 + 0.265445i
\(475\) 11.9852 + 2.11332i 0.549920 + 0.0969657i
\(476\) −0.582999 1.24288i −0.0267217 0.0569672i
\(477\) 0.490444 0.0190722i 0.0224559 0.000873256i
\(478\) −21.4841 37.2116i −0.982661 1.70202i
\(479\) −3.46023 + 19.6239i −0.158102 + 0.896640i 0.797793 + 0.602931i \(0.206001\pi\)
−0.955895 + 0.293709i \(0.905110\pi\)
\(480\) −16.8864 + 1.80866i −0.770755 + 0.0825535i
\(481\) −0.149111 + 0.409680i −0.00679890 + 0.0186798i
\(482\) 21.4902 18.0325i 0.978854 0.821356i
\(483\) 4.22006 + 1.43305i 0.192019 + 0.0652062i
\(484\) 34.0618 12.3975i 1.54826 0.563522i
\(485\) −21.4913 12.4080i −0.975869 0.563418i
\(486\) −35.2779 + 6.58133i −1.60024 + 0.298535i
\(487\) −16.5334 28.6367i −0.749200 1.29765i −0.948207 0.317654i \(-0.897105\pi\)
0.199007 0.979998i \(-0.436228\pi\)
\(488\) 1.57728 8.94522i 0.0714003 0.404931i
\(489\) −14.1223 13.5838i −0.638634 0.614282i
\(490\) −14.9691 25.6577i −0.676236 1.15910i
\(491\) 1.71158 0.301798i 0.0772427 0.0136200i −0.134893 0.990860i \(-0.543069\pi\)
0.212136 + 0.977240i \(0.431958\pi\)
\(492\) 28.3472 20.6814i 1.27799 0.932387i
\(493\) −1.51080 0.266394i −0.0680429 0.0119978i
\(494\) 0.813291i 0.0365917i
\(495\) 0.316453 0.600892i 0.0142235 0.0270081i
\(496\) −1.14254 + 0.659646i −0.0513015 + 0.0296190i
\(497\) 0.688375 + 2.54593i 0.0308778 + 0.114201i
\(498\) 1.73363 25.5183i 0.0776856 1.14350i
\(499\) −26.2943 + 22.0635i −1.17709 + 0.987699i −0.177100 + 0.984193i \(0.556671\pi\)
−0.999994 + 0.00350565i \(0.998884\pi\)
\(500\) 6.97336 + 39.5479i 0.311858 + 1.76864i
\(501\) −3.30306 0.224399i −0.147570 0.0100254i
\(502\) 5.63027 6.70990i 0.251291 0.299478i
\(503\) 6.14413 + 10.6419i 0.273953 + 0.474501i 0.969870 0.243621i \(-0.0783354\pi\)
−0.695917 + 0.718122i \(0.745002\pi\)
\(504\) 22.6688 7.08527i 1.00975 0.315603i
\(505\) 12.8074 22.1831i 0.569924 0.987137i
\(506\) −0.0940402 0.258373i −0.00418060 0.0114861i
\(507\) 18.1871 13.2688i 0.807717 0.589288i
\(508\) −10.8562 + 9.10940i −0.481664 + 0.404164i
\(509\) 4.54581 + 25.7805i 0.201489 + 1.14270i 0.902869 + 0.429915i \(0.141456\pi\)
−0.701380 + 0.712787i \(0.747432\pi\)
\(510\) −0.320774 1.11037i −0.0142041 0.0491679i
\(511\) −23.4877 6.23643i −1.03903 0.275883i
\(512\) 3.26654i 0.144362i
\(513\) 7.97698 38.6569i 0.352192 1.70674i
\(514\) −43.9683 + 25.3851i −1.93936 + 1.11969i
\(515\) 9.24312 11.0155i 0.407301 0.485402i
\(516\) −39.8257 38.3071i −1.75323 1.68638i
\(517\) −0.329097 0.392203i −0.0144737 0.0172490i
\(518\) −24.0131 + 51.8028i −1.05508 + 2.27608i
\(519\) −34.2429 + 24.9827i −1.50310 + 1.09662i
\(520\) −0.241049 + 0.0877347i −0.0105707 + 0.00384742i
\(521\) 14.2660 0.625004 0.312502 0.949917i \(-0.398833\pi\)
0.312502 + 0.949917i \(0.398833\pi\)
\(522\) 20.5673 64.1634i 0.900206 2.80835i
\(523\) 20.0974i 0.878798i 0.898292 + 0.439399i \(0.144809\pi\)
−0.898292 + 0.439399i \(0.855191\pi\)
\(524\) −2.47889 + 14.0585i −0.108291 + 0.614148i
\(525\) 2.66018 + 6.84295i 0.116100 + 0.298651i
\(526\) 4.11812 + 1.49887i 0.179559 + 0.0653540i
\(527\) 0.461447 + 0.549931i 0.0201009 + 0.0239554i
\(528\) −0.0510276 0.0342717i −0.00222069 0.00149148i
\(529\) −20.7241 + 7.54297i −0.901049 + 0.327955i
\(530\) −0.694271 −0.0301572
\(531\) −34.7108 + 7.52185i −1.50632 + 0.326420i
\(532\) −5.63012 + 66.0789i −0.244097 + 2.86488i
\(533\) −0.183535 + 0.218728i −0.00794978 + 0.00947418i
\(534\) 42.0421 4.50301i 1.81934 0.194864i
\(535\) 8.84913 + 10.5460i 0.382581 + 0.455943i
\(536\) −10.0636 + 27.6495i −0.434681 + 1.19428i
\(537\) −22.1735 + 23.0525i −0.956855 + 0.994788i
\(538\) 9.63644 + 26.4759i 0.415457 + 1.14146i
\(539\) −0.145434 + 0.847262i −0.00626430 + 0.0364942i
\(540\) 31.2718 4.58462i 1.34572 0.197291i
\(541\) 3.47620 6.02095i 0.149453 0.258861i −0.781572 0.623815i \(-0.785582\pi\)
0.931026 + 0.364954i \(0.118915\pi\)
\(542\) −20.5687 17.2592i −0.883500 0.741344i
\(543\) 7.74024 8.04709i 0.332166 0.345334i
\(544\) 0.823721 0.145244i 0.0353167 0.00622730i
\(545\) −2.79913 15.8747i −0.119902 0.679996i
\(546\) −0.419476 + 0.254479i −0.0179519 + 0.0108907i
\(547\) −10.1175 8.48957i −0.432592 0.362988i 0.400337 0.916368i \(-0.368893\pi\)
−0.832929 + 0.553380i \(0.813338\pi\)
\(548\) 5.00934 2.89215i 0.213989 0.123546i
\(549\) 1.23168 9.02307i 0.0525668 0.385095i
\(550\) 0.226475 0.392266i 0.00965691 0.0167263i
\(551\) 56.7713 + 47.6368i 2.41854 + 2.02940i
\(552\) 2.81028 4.18427i 0.119614 0.178094i
\(553\) −6.23984 2.89247i −0.265345 0.123000i
\(554\) 14.9189 40.9894i 0.633844 1.74147i
\(555\) −16.6874 + 24.8462i −0.708342 + 1.05466i
\(556\) −15.3561 42.1906i −0.651244 1.78928i
\(557\) 36.7504 + 21.2178i 1.55716 + 0.899028i 0.997527 + 0.0702901i \(0.0223925\pi\)
0.559636 + 0.828738i \(0.310941\pi\)
\(558\) −26.6726 + 16.8142i −1.12914 + 0.711801i
\(559\) 0.389407 + 0.224824i 0.0164702 + 0.00950905i
\(560\) −1.36050 + 0.367854i −0.0574915 + 0.0155447i
\(561\) −0.0135438 + 0.0305828i −0.000571821 + 0.00129121i
\(562\) −0.881622 0.320884i −0.0371890 0.0135357i
\(563\) −29.1497 10.6096i −1.22852 0.447143i −0.355426 0.934704i \(-0.615664\pi\)
−0.873089 + 0.487561i \(0.837887\pi\)
\(564\) 5.71856 23.1310i 0.240795 0.973990i
\(565\) −29.8730 5.26741i −1.25676 0.221602i
\(566\) −10.7140 −0.450344
\(567\) 22.4343 7.98140i 0.942151 0.335187i
\(568\) 2.98275 0.125154
\(569\) 11.2726 + 1.98767i 0.472573 + 0.0833273i 0.404862 0.914378i \(-0.367319\pi\)
0.0677106 + 0.997705i \(0.478431\pi\)
\(570\) −13.4000 + 54.2014i −0.561263 + 2.27025i
\(571\) −14.2946 5.20281i −0.598210 0.217731i 0.0251265 0.999684i \(-0.492001\pi\)
−0.623337 + 0.781954i \(0.714223\pi\)
\(572\) 0.0177098 + 0.00644584i 0.000740484 + 0.000269514i
\(573\) 7.03660 15.8891i 0.293958 0.663776i
\(574\) −26.3821 + 26.5020i −1.10117 + 1.10617i
\(575\) 1.34938 + 0.779063i 0.0562729 + 0.0324892i
\(576\) 1.49490 + 38.4415i 0.0622873 + 1.60173i
\(577\) −14.5184 8.38222i −0.604410 0.348956i 0.166364 0.986064i \(-0.446797\pi\)
−0.770775 + 0.637108i \(0.780131\pi\)
\(578\) −13.3659 36.7224i −0.555947 1.52745i
\(579\) 23.7648 35.3838i 0.987633 1.47050i
\(580\) −20.2963 + 55.7635i −0.842756 + 2.31545i
\(581\) 1.51748 + 16.9031i 0.0629558 + 0.701260i
\(582\) −29.9296 + 44.5626i −1.24062 + 1.84718i
\(583\) 0.0153913 + 0.0129149i 0.000637443 + 0.000534879i
\(584\) −13.7421 + 23.8020i −0.568651 + 0.984933i
\(585\) −0.238073 + 0.0972865i −0.00984310 + 0.00402230i
\(586\) 16.5480 9.55400i 0.683592 0.394672i
\(587\) −1.10643 0.928404i −0.0456672 0.0383193i 0.619668 0.784864i \(-0.287267\pi\)
−0.665336 + 0.746544i \(0.731712\pi\)
\(588\) −35.8436 + 17.7722i −1.47816 + 0.732914i
\(589\) −6.02205 34.1528i −0.248134 1.40724i
\(590\) 49.4758 8.72391i 2.03689 0.359158i
\(591\) 16.7746 17.4396i 0.690016 0.717370i
\(592\) 2.07521 + 1.74131i 0.0852905 + 0.0715672i
\(593\) 17.6222 30.5226i 0.723657 1.25341i −0.235867 0.971785i \(-0.575793\pi\)
0.959524 0.281626i \(-0.0908737\pi\)
\(594\) −1.25043 0.771061i −0.0513057 0.0316370i
\(595\) 0.325677 + 0.694300i 0.0133515 + 0.0284635i
\(596\) −10.4658 28.7545i −0.428695 1.17783i
\(597\) 15.4640 16.0770i 0.632899 0.657989i
\(598\) −0.0356128 + 0.0978453i −0.00145631 + 0.00400119i
\(599\) −27.9181 33.2715i −1.14070 1.35944i −0.923633 0.383279i \(-0.874795\pi\)
−0.217069 0.976156i \(-0.569650\pi\)
\(600\) 8.25614 0.884292i 0.337055 0.0361011i
\(601\) 12.1502 14.4801i 0.495618 0.590655i −0.459019 0.888427i \(-0.651799\pi\)
0.954637 + 0.297772i \(0.0962434\pi\)
\(602\) 48.3154 + 33.6677i 1.96919 + 1.37219i
\(603\) −9.00483 + 28.0922i −0.366705 + 1.14400i
\(604\) −32.2132 −1.31074
\(605\) −19.0277 + 6.92552i −0.773587 + 0.281563i
\(606\) −45.9972 30.8931i −1.86851 1.25495i
\(607\) −1.36629 1.62828i −0.0554560 0.0660899i 0.737603 0.675234i \(-0.235957\pi\)
−0.793059 + 0.609144i \(0.791513\pi\)
\(608\) −37.9695 13.8198i −1.53987 0.560465i
\(609\) −6.80616 + 44.1869i −0.275800 + 1.79054i
\(610\) −2.23689 + 12.6860i −0.0905691 + 0.513643i
\(611\) 0.193887i 0.00784383i
\(612\) −1.52132 + 0.329671i −0.0614957 + 0.0133261i
\(613\) −18.2547 −0.737301 −0.368650 0.929568i \(-0.620180\pi\)
−0.368650 + 0.929568i \(0.620180\pi\)
\(614\) 12.7609 4.64457i 0.514987 0.187440i
\(615\) −15.8354 + 11.5531i −0.638545 + 0.465866i
\(616\) 0.882077 + 0.408885i 0.0355399 + 0.0164745i
\(617\) −5.58064 6.65075i −0.224668 0.267749i 0.641922 0.766770i \(-0.278137\pi\)
−0.866590 + 0.499021i \(0.833693\pi\)
\(618\) −22.4182 21.5633i −0.901790 0.867404i
\(619\) −25.2770 + 30.1239i −1.01597 + 1.21078i −0.0385946 + 0.999255i \(0.512288\pi\)
−0.977372 + 0.211527i \(0.932156\pi\)
\(620\) 24.0488 13.8846i 0.965824 0.557619i
\(621\) 2.65242 4.30142i 0.106438 0.172610i
\(622\) 31.2476i 1.25291i
\(623\) −27.0832 + 7.32281i −1.08506 + 0.293382i
\(624\) 0.00646057 + 0.0223634i 0.000258630 + 0.000895254i
\(625\) −2.50446 14.2035i −0.100178 0.568140i
\(626\) −10.0799 + 8.45803i −0.402873 + 0.338051i
\(627\) 1.30532 0.952327i 0.0521295 0.0380323i
\(628\) −18.2641 50.1803i −0.728818 2.00241i
\(629\) 0.737040 1.27659i 0.0293877 0.0509010i
\(630\) −32.1487 + 10.0483i −1.28083 + 0.400333i
\(631\) 5.26401 + 9.11753i 0.209557 + 0.362963i 0.951575 0.307417i \(-0.0994645\pi\)
−0.742018 + 0.670380i \(0.766131\pi\)
\(632\) −4.99984 + 5.95857i −0.198883 + 0.237019i
\(633\) −9.13832 0.620827i −0.363216 0.0246757i
\(634\) −0.962742 5.45998i −0.0382354 0.216844i
\(635\) 6.06451 5.08873i 0.240663 0.201940i
\(636\) −0.0633791 + 0.932915i −0.00251315 + 0.0369925i
\(637\) 0.248433 0.210388i 0.00984326 0.00833587i
\(638\) 2.38869 1.37911i 0.0945693 0.0545996i
\(639\) 2.98822 0.116205i 0.118212 0.00459698i
\(640\) 34.8074i 1.37588i
\(641\) −12.1516 2.14265i −0.479958 0.0846295i −0.0715652 0.997436i \(-0.522799\pi\)
−0.408392 + 0.912806i \(0.633911\pi\)
\(642\) 24.0575 17.5517i 0.949473 0.692710i
\(643\) −22.7208 + 4.00630i −0.896023 + 0.157993i −0.602650 0.798005i \(-0.705889\pi\)
−0.293372 + 0.955998i \(0.594778\pi\)
\(644\) −3.57084 + 7.70327i −0.140711 + 0.303551i
\(645\) 22.2476 + 21.3993i 0.875998 + 0.842595i
\(646\) 0.477505 2.70807i 0.0187872 0.106547i
\(647\) 19.2253 + 33.2993i 0.755826 + 1.30913i 0.944963 + 0.327178i \(0.106098\pi\)
−0.189137 + 0.981951i \(0.560569\pi\)
\(648\) −2.09134 26.8489i −0.0821557 1.05473i
\(649\) −1.25911 0.726949i −0.0494245 0.0285352i
\(650\) −0.161186 + 0.0586669i −0.00632224 + 0.00230111i
\(651\) 15.7309 13.7924i 0.616542 0.540568i
\(652\) 28.5970 23.9958i 1.11995 0.939747i
\(653\) 4.84634 13.3152i 0.189652 0.521064i −0.808028 0.589144i \(-0.799465\pi\)
0.997680 + 0.0680800i \(0.0216873\pi\)
\(654\) −34.6706 + 3.71347i −1.35573 + 0.145208i
\(655\) 1.38477 7.85341i 0.0541074 0.306858i
\(656\) 0.887094 + 1.53649i 0.0346352 + 0.0599899i
\(657\) −12.8400 + 24.3810i −0.500935 + 0.951192i
\(658\) −2.15572 + 25.3010i −0.0840389 + 0.986336i
\(659\) 39.3185 + 6.93292i 1.53163 + 0.270068i 0.874993 0.484136i \(-0.160866\pi\)
0.656640 + 0.754204i \(0.271977\pi\)
\(660\) 1.07406 + 0.721371i 0.0418077 + 0.0280793i
\(661\) 24.1288 4.25455i 0.938500 0.165483i 0.316582 0.948565i \(-0.397465\pi\)
0.621918 + 0.783082i \(0.286354\pi\)
\(662\) 24.0212 4.23559i 0.933612 0.164621i
\(663\) 0.0113736 0.00557518i 0.000441713 0.000216522i
\(664\) 18.9021 + 3.33296i 0.733545 + 0.129344i
\(665\) 3.14512 36.9132i 0.121962 1.43143i
\(666\) 51.1755 + 39.6572i 1.98301 + 1.53669i
\(667\) 4.74409 + 8.21701i 0.183692 + 0.318164i
\(668\) 1.09524 6.21143i 0.0423762 0.240327i
\(669\) −8.54502 11.7123i −0.330369 0.452826i
\(670\) 14.2721 39.2122i 0.551379 1.51490i
\(671\) 0.285576 0.239627i 0.0110245 0.00925068i
\(672\) −4.75276 23.9080i −0.183342 0.922270i
\(673\) −12.2850 + 4.47136i −0.473551 + 0.172358i −0.567760 0.823194i \(-0.692190\pi\)
0.0942095 + 0.995552i \(0.469968\pi\)
\(674\) 45.8791 + 26.4883i 1.76720 + 1.02029i
\(675\) 8.23681 1.20756i 0.317035 0.0464791i
\(676\) 21.4450 + 37.1438i 0.824807 + 1.42861i
\(677\) 4.73038 26.8273i 0.181803 1.03106i −0.748191 0.663484i \(-0.769077\pi\)
0.929994 0.367575i \(-0.119812\pi\)
\(678\) −15.7479 + 63.6986i −0.604794 + 2.44633i
\(679\) 14.9798 32.3155i 0.574872 1.24015i
\(680\) 0.854147 0.150609i 0.0327551 0.00577560i
\(681\) 3.72326 + 34.7620i 0.142676 + 1.33208i
\(682\) −1.27110 0.224130i −0.0486730 0.00858237i
\(683\) 46.5851i 1.78253i 0.453482 + 0.891265i \(0.350182\pi\)
−0.453482 + 0.891265i \(0.649818\pi\)
\(684\) 71.6089 + 22.9539i 2.73804 + 0.877666i
\(685\) −2.79834 + 1.61562i −0.106919 + 0.0617297i
\(686\) 34.7581 24.6921i 1.32707 0.942749i
\(687\) 9.03444 4.42856i 0.344685 0.168960i
\(688\) 2.14030 1.79593i 0.0815983 0.0684691i
\(689\) −0.00132125 0.00749317i −5.03355e−5 0.000285467i
\(690\) −3.98552 + 5.93409i −0.151726 + 0.225907i
\(691\) 5.79402 6.90504i 0.220415 0.262680i −0.644494 0.764610i \(-0.722932\pi\)
0.864909 + 0.501929i \(0.167376\pi\)
\(692\) −40.3770 69.9350i −1.53490 2.65853i
\(693\) 0.899623 + 0.375270i 0.0341738 + 0.0142553i
\(694\) −4.43299 + 7.67816i −0.168274 + 0.291459i
\(695\) 8.57829 + 23.5687i 0.325393 + 0.894010i
\(696\) 46.2324 + 20.4744i 1.75243 + 0.776078i
\(697\) 0.739549 0.620555i 0.0280124 0.0235052i
\(698\) −0.843525 4.78387i −0.0319279 0.181072i
\(699\) −10.3613 2.56157i −0.391900 0.0968876i
\(700\) −13.5023 + 3.65078i −0.510339 + 0.137987i
\(701\) 28.1670i 1.06385i −0.846790 0.531927i \(-0.821468\pi\)
0.846790 0.531927i \(-0.178532\pi\)
\(702\) 0.175055 + 0.528065i 0.00660701 + 0.0199305i
\(703\) −61.6697 + 35.6050i −2.32592 + 1.34287i
\(704\) −1.01228 + 1.20639i −0.0381517 + 0.0454674i
\(705\) −3.19452 + 12.9215i −0.120313 + 0.486652i
\(706\) −18.1837 21.6704i −0.684351 0.815578i
\(707\) 33.3558 + 15.4620i 1.25447 + 0.581509i
\(708\) −7.20602 67.2786i −0.270819 2.52848i
\(709\) 33.4746 12.1838i 1.25717 0.457571i 0.374349 0.927288i \(-0.377866\pi\)
0.882817 + 0.469717i \(0.155644\pi\)
\(710\) −4.23011 −0.158753
\(711\) −4.77686 + 6.16428i −0.179146 + 0.231179i
\(712\) 31.7300i 1.18913i
\(713\) 0.770997 4.37254i 0.0288741 0.163753i
\(714\) 1.54617 0.601069i 0.0578639 0.0224944i
\(715\) −0.00989312 0.00360080i −0.000369982 0.000134662i
\(716\) −39.1693 46.6802i −1.46383 1.74452i
\(717\) 29.0281 14.2292i 1.08408 0.531400i
\(718\) 66.1694 24.0837i 2.46942 0.898795i
\(719\) 9.13804 0.340791 0.170396 0.985376i \(-0.445495\pi\)
0.170396 + 0.985376i \(0.445495\pi\)
\(720\) 0.0620975 + 1.59685i 0.00231424 + 0.0595109i
\(721\) 16.9336 + 11.7999i 0.630640 + 0.439450i
\(722\) −57.2720 + 68.2541i −2.13144 + 2.54016i
\(723\) 12.4400 + 17.0510i 0.462647 + 0.634134i
\(724\) 13.6731 + 16.2950i 0.508157 + 0.605598i
\(725\) −5.34592 + 14.6878i −0.198542 + 0.545491i
\(726\) 12.1566 + 42.0804i 0.451175 + 1.56175i
\(727\) 3.56316 + 9.78970i 0.132150 + 0.363080i 0.988065 0.154037i \(-0.0492275\pi\)
−0.855915 + 0.517117i \(0.827005\pi\)
\(728\) −0.156358 0.333334i −0.00579501 0.0123542i
\(729\) −3.14118 26.8167i −0.116340 0.993209i
\(730\) 19.4889 33.7558i 0.721317 1.24936i
\(731\) −1.16463 0.977242i −0.0430755 0.0361446i
\(732\) 16.8424 + 4.16387i 0.622514 + 0.153901i
\(733\) 27.3550 4.82343i 1.01038 0.178157i 0.356131 0.934436i \(-0.384096\pi\)
0.654250 + 0.756279i \(0.272985\pi\)
\(734\) 5.47810 + 31.0678i 0.202200 + 1.14673i
\(735\) 20.0231 9.92798i 0.738562 0.366199i
\(736\) −3.96288 3.32525i −0.146074 0.122570i
\(737\) −1.04583 + 0.603808i −0.0385235 + 0.0222415i
\(738\) 22.6118 + 35.8694i 0.832350 + 1.32037i
\(739\) 17.8396 30.8992i 0.656242 1.13664i −0.325339 0.945597i \(-0.605479\pi\)
0.981581 0.191047i \(-0.0611882\pi\)
\(740\) −43.6802 36.6520i −1.60571 1.34735i
\(741\) −0.610489 0.0414746i −0.0224269 0.00152361i
\(742\) −0.0891020 0.992502i −0.00327104 0.0364359i
\(743\) 2.30236 6.32568i 0.0844653 0.232067i −0.890269 0.455436i \(-0.849483\pi\)
0.974734 + 0.223369i \(0.0717056\pi\)
\(744\) −10.4144 21.2458i −0.381811 0.778908i
\(745\) 5.84643 + 16.0629i 0.214197 + 0.588500i
\(746\) −23.2983 13.4513i −0.853010 0.492486i
\(747\) 19.0666 + 2.60266i 0.697611 + 0.0952263i
\(748\) −0.0551849 0.0318610i −0.00201776 0.00116495i
\(749\) −13.9404 + 14.0038i −0.509372 + 0.511688i
\(750\) −48.2503 + 5.16796i −1.76185 + 0.188707i
\(751\) 44.9691 + 16.3674i 1.64095 + 0.597256i 0.987204 0.159462i \(-0.0509759\pi\)
0.653742 + 0.756717i \(0.273198\pi\)
\(752\) 1.13209 + 0.412049i 0.0412832 + 0.0150259i
\(753\) 4.74960 + 4.56849i 0.173085 + 0.166485i
\(754\) −1.02866 0.181381i −0.0374617 0.00660551i
\(755\) 17.9951 0.654907
\(756\) 10.5674 + 44.1165i 0.384331 + 1.60450i
\(757\) 35.1225 1.27655 0.638274 0.769809i \(-0.279649\pi\)
0.638274 + 0.769809i \(0.279649\pi\)
\(758\) 28.7992 + 5.07808i 1.04603 + 0.184444i
\(759\) 0.198741 0.0574144i 0.00721385 0.00208401i
\(760\) −39.3720 14.3302i −1.42817 0.519812i
\(761\) −32.1441 11.6995i −1.16522 0.424106i −0.314262 0.949336i \(-0.601757\pi\)
−0.850960 + 0.525230i \(0.823979\pi\)
\(762\) −10.0932 13.8343i −0.365637 0.501165i
\(763\) 22.3345 6.03886i 0.808564 0.218621i
\(764\) 28.6709 + 16.5532i 1.03728 + 0.598872i
\(765\) 0.849845 0.184162i 0.0307262 0.00665839i
\(766\) 15.9686 + 9.21948i 0.576969 + 0.333113i
\(767\) 0.188312 + 0.517383i 0.00679955 + 0.0186816i
\(768\) −30.8004 2.09248i −1.11141 0.0755058i
\(769\) 3.20130 8.79549i 0.115442 0.317174i −0.868493 0.495701i \(-0.834911\pi\)
0.983935 + 0.178528i \(0.0571334\pi\)
\(770\) −1.25095 0.579878i −0.0450812 0.0208973i
\(771\) −16.8129 34.2989i −0.605501 1.23525i
\(772\) 62.2056 + 52.1967i 2.23883 + 1.87860i
\(773\)