Properties

Label 175.2.x.a.108.18
Level $175$
Weight $2$
Character 175.108
Analytic conductor $1.397$
Analytic rank $0$
Dimension $288$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 175 = 5^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 175.x (of order \(60\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.39738203537\)
Analytic rank: \(0\)
Dimension: \(288\)
Relative dimension: \(18\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 108.18
Character \(\chi\) \(=\) 175.108
Dual form 175.2.x.a.47.18

$q$-expansion

\(f(q)\) \(=\) \(q+(0.127170 + 2.42654i) q^{2} +(-1.78675 - 1.44688i) q^{3} +(-3.88289 + 0.408108i) q^{4} +(-2.07076 - 0.843763i) q^{5} +(3.28370 - 4.51962i) q^{6} +(1.54352 - 2.14884i) q^{7} +(-0.723845 - 4.57018i) q^{8} +(0.475273 + 2.23598i) q^{9} +O(q^{10})\) \(q+(0.127170 + 2.42654i) q^{2} +(-1.78675 - 1.44688i) q^{3} +(-3.88289 + 0.408108i) q^{4} +(-2.07076 - 0.843763i) q^{5} +(3.28370 - 4.51962i) q^{6} +(1.54352 - 2.14884i) q^{7} +(-0.723845 - 4.57018i) q^{8} +(0.475273 + 2.23598i) q^{9} +(1.78409 - 5.13210i) q^{10} +(-0.0163732 - 0.00348022i) q^{11} +(7.52823 + 4.88889i) q^{12} +(-1.39124 - 2.73047i) q^{13} +(5.41055 + 3.47216i) q^{14} +(2.47911 + 4.50374i) q^{15} +(3.35976 - 0.714139i) q^{16} +(-6.59423 - 2.53129i) q^{17} +(-5.36527 + 1.43762i) q^{18} +(0.331948 - 3.15828i) q^{19} +(8.38489 + 2.43114i) q^{20} +(-5.86701 + 1.60615i) q^{21} +(0.00636273 - 0.0401727i) q^{22} +(-5.46923 + 0.286630i) q^{23} +(-5.31918 + 9.21308i) q^{24} +(3.57613 + 3.49447i) q^{25} +(6.44868 - 3.72315i) q^{26} +(-0.745322 + 1.46278i) q^{27} +(-5.11637 + 8.97365i) q^{28} +(-0.0353871 - 0.0487062i) q^{29} +(-10.6132 + 6.58841i) q^{30} +(3.66733 + 8.23697i) q^{31} +(-0.235039 - 0.877177i) q^{32} +(0.0242193 + 0.0299083i) q^{33} +(5.30369 - 16.3231i) q^{34} +(-5.00939 + 3.14738i) q^{35} +(-2.75796 - 8.48811i) q^{36} +(4.57608 - 7.04654i) q^{37} +(7.70591 + 0.403850i) q^{38} +(-1.46486 + 6.89163i) q^{39} +(-2.35724 + 10.0745i) q^{40} +(5.83738 + 1.89668i) q^{41} +(-4.64350 - 14.0323i) q^{42} +(-3.18681 - 3.18681i) q^{43} +(0.0649954 + 0.00683130i) q^{44} +(0.902462 - 5.03121i) q^{45} +(-1.39104 - 13.2349i) q^{46} +(1.64959 + 4.29732i) q^{47} +(-7.03633 - 3.58519i) q^{48} +(-2.23507 - 6.63359i) q^{49} +(-8.02470 + 9.12201i) q^{50} +(8.11977 + 14.0639i) q^{51} +(6.51638 + 10.0343i) q^{52} +(2.73861 - 3.38191i) q^{53} +(-3.64427 - 1.62253i) q^{54} +(0.0309685 + 0.0210218i) q^{55} +(-10.9379 - 5.49875i) q^{56} +(-5.16276 + 5.16276i) q^{57} +(0.113687 - 0.0920622i) q^{58} +(1.67651 + 1.86195i) q^{59} +(-11.4641 - 16.4758i) q^{60} +(-9.91649 - 8.92884i) q^{61} +(-19.5210 + 9.94643i) q^{62} +(5.53838 + 2.43001i) q^{63} +(8.63203 - 2.80472i) q^{64} +(0.577069 + 6.82804i) q^{65} +(-0.0694938 + 0.0625725i) q^{66} +(0.113980 - 0.296929i) q^{67} +(26.6377 + 7.13755i) q^{68} +(10.1869 + 7.40119i) q^{69} +(-8.27429 - 11.7552i) q^{70} +(-6.35569 + 4.61768i) q^{71} +(9.87482 - 3.79059i) q^{72} +(-2.80391 + 1.82088i) q^{73} +(17.6807 + 10.2079i) q^{74} +(-1.33356 - 11.4180i) q^{75} +12.3987i q^{76} +(-0.0327508 + 0.0298116i) q^{77} +(-16.9091 - 2.67814i) q^{78} +(2.17913 - 4.89441i) q^{79} +(-7.55984 - 1.35603i) q^{80} +(9.71309 - 4.32455i) q^{81} +(-3.86003 + 14.4058i) q^{82} +(8.63403 - 1.36750i) q^{83} +(22.1255 - 8.63088i) q^{84} +(11.5193 + 10.8057i) q^{85} +(7.32766 - 8.13819i) q^{86} +(-0.00724415 + 0.138227i) q^{87} +(-0.00405361 + 0.0773474i) q^{88} +(5.60082 - 6.22034i) q^{89} +(12.3232 + 1.55004i) q^{90} +(-8.01478 - 1.22498i) q^{91} +(21.1194 - 3.34499i) q^{92} +(5.36531 - 20.0236i) q^{93} +(-10.2178 + 4.54928i) q^{94} +(-3.35223 + 6.25996i) q^{95} +(-0.849216 + 1.90737i) q^{96} +(6.79613 + 1.07640i) q^{97} +(15.8124 - 6.26707i) q^{98} -0.0382642i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 288 q - 8 q^{2} - 24 q^{3} - 10 q^{4} - 30 q^{5} - 10 q^{7} - 36 q^{8} - 10 q^{9} + O(q^{10}) \) \( 288 q - 8 q^{2} - 24 q^{3} - 10 q^{4} - 30 q^{5} - 10 q^{7} - 36 q^{8} - 10 q^{9} - 36 q^{10} - 6 q^{11} - 36 q^{12} - 20 q^{14} - 28 q^{15} - 30 q^{16} - 42 q^{17} - 14 q^{18} - 30 q^{19} - 12 q^{21} + 32 q^{22} - 40 q^{23} + 2 q^{25} - 48 q^{26} + 22 q^{28} - 58 q^{30} - 18 q^{31} + 8 q^{32} - 30 q^{33} - 2 q^{35} + 40 q^{36} - 10 q^{37} + 72 q^{38} + 30 q^{39} - 48 q^{40} + 6 q^{42} - 108 q^{43} - 10 q^{44} + 186 q^{45} - 6 q^{46} - 54 q^{47} - 248 q^{50} - 16 q^{51} + 216 q^{52} + 50 q^{53} - 30 q^{54} + 4 q^{56} - 216 q^{57} - 4 q^{58} + 90 q^{59} + 96 q^{60} - 18 q^{61} - 66 q^{63} - 100 q^{64} + 14 q^{65} - 90 q^{66} + 4 q^{67} + 342 q^{68} - 60 q^{70} - 24 q^{71} + 58 q^{72} - 6 q^{73} + 216 q^{75} - 80 q^{77} - 132 q^{78} - 10 q^{79} - 6 q^{80} - 10 q^{81} + 216 q^{82} + 20 q^{84} - 48 q^{85} - 6 q^{86} - 48 q^{87} - 122 q^{88} + 120 q^{89} - 12 q^{91} - 4 q^{92} + 106 q^{93} - 30 q^{94} - 98 q^{95} - 90 q^{96} + 222 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.127170 + 2.42654i 0.0899225 + 1.71582i 0.556085 + 0.831125i \(0.312303\pi\)
−0.466163 + 0.884699i \(0.654364\pi\)
\(3\) −1.78675 1.44688i −1.03158 0.835357i −0.0450579 0.998984i \(-0.514347\pi\)
−0.986522 + 0.163627i \(0.947681\pi\)
\(4\) −3.88289 + 0.408108i −1.94144 + 0.204054i
\(5\) −2.07076 0.843763i −0.926074 0.377342i
\(6\) 3.28370 4.51962i 1.34056 1.84513i
\(7\) 1.54352 2.14884i 0.583397 0.812187i
\(8\) −0.723845 4.57018i −0.255918 1.61580i
\(9\) 0.475273 + 2.23598i 0.158424 + 0.745328i
\(10\) 1.78409 5.13210i 0.564178 1.62291i
\(11\) −0.0163732 0.00348022i −0.00493669 0.00104933i 0.205443 0.978669i \(-0.434137\pi\)
−0.210379 + 0.977620i \(0.567470\pi\)
\(12\) 7.52823 + 4.88889i 2.17321 + 1.41130i
\(13\) −1.39124 2.73047i −0.385862 0.757297i 0.613616 0.789605i \(-0.289714\pi\)
−0.999478 + 0.0323079i \(0.989714\pi\)
\(14\) 5.41055 + 3.47216i 1.44603 + 0.927973i
\(15\) 2.47911 + 4.50374i 0.640104 + 1.16286i
\(16\) 3.35976 0.714139i 0.839940 0.178535i
\(17\) −6.59423 2.53129i −1.59934 0.613928i −0.614734 0.788735i \(-0.710737\pi\)
−0.984603 + 0.174807i \(0.944070\pi\)
\(18\) −5.36527 + 1.43762i −1.26461 + 0.338850i
\(19\) 0.331948 3.15828i 0.0761542 0.724559i −0.888113 0.459626i \(-0.847984\pi\)
0.964267 0.264933i \(-0.0853498\pi\)
\(20\) 8.38489 + 2.43114i 1.87492 + 0.543620i
\(21\) −5.86701 + 1.60615i −1.28029 + 0.350491i
\(22\) 0.00636273 0.0401727i 0.00135654 0.00856485i
\(23\) −5.46923 + 0.286630i −1.14041 + 0.0597665i −0.613172 0.789949i \(-0.710107\pi\)
−0.527241 + 0.849716i \(0.676774\pi\)
\(24\) −5.31918 + 9.21308i −1.08577 + 1.88061i
\(25\) 3.57613 + 3.49447i 0.715226 + 0.698894i
\(26\) 6.44868 3.72315i 1.26469 0.730169i
\(27\) −0.745322 + 1.46278i −0.143437 + 0.281512i
\(28\) −5.11637 + 8.97365i −0.966903 + 1.69586i
\(29\) −0.0353871 0.0487062i −0.00657122 0.00904451i 0.805719 0.592298i \(-0.201779\pi\)
−0.812290 + 0.583254i \(0.801779\pi\)
\(30\) −10.6132 + 6.58841i −1.93771 + 1.20287i
\(31\) 3.66733 + 8.23697i 0.658673 + 1.47940i 0.865440 + 0.501013i \(0.167039\pi\)
−0.206767 + 0.978390i \(0.566294\pi\)
\(32\) −0.235039 0.877177i −0.0415494 0.155065i
\(33\) 0.0242193 + 0.0299083i 0.00421603 + 0.00520637i
\(34\) 5.30369 16.3231i 0.909576 2.79939i
\(35\) −5.00939 + 3.14738i −0.846741 + 0.532005i
\(36\) −2.75796 8.48811i −0.459659 1.41469i
\(37\) 4.57608 7.04654i 0.752302 1.15844i −0.230372 0.973103i \(-0.573994\pi\)
0.982674 0.185341i \(-0.0593390\pi\)
\(38\) 7.70591 + 0.403850i 1.25006 + 0.0655130i
\(39\) −1.46486 + 6.89163i −0.234566 + 1.10354i
\(40\) −2.35724 + 10.0745i −0.372712 + 1.59292i
\(41\) 5.83738 + 1.89668i 0.911646 + 0.296212i 0.727035 0.686600i \(-0.240898\pi\)
0.184610 + 0.982812i \(0.440898\pi\)
\(42\) −4.64350 14.0323i −0.716507 2.16523i
\(43\) −3.18681 3.18681i −0.485984 0.485984i 0.421052 0.907036i \(-0.361661\pi\)
−0.907036 + 0.421052i \(0.861661\pi\)
\(44\) 0.0649954 + 0.00683130i 0.00979843 + 0.00102986i
\(45\) 0.902462 5.03121i 0.134531 0.750009i
\(46\) −1.39104 13.2349i −0.205098 1.95137i
\(47\) 1.64959 + 4.29732i 0.240617 + 0.626828i 0.999708 0.0241558i \(-0.00768978\pi\)
−0.759091 + 0.650984i \(0.774356\pi\)
\(48\) −7.03633 3.58519i −1.01561 0.517477i
\(49\) −2.23507 6.63359i −0.319295 0.947655i
\(50\) −8.02470 + 9.12201i −1.13486 + 1.29005i
\(51\) 8.11977 + 14.0639i 1.13700 + 1.96933i
\(52\) 6.51638 + 10.0343i 0.903659 + 1.39151i
\(53\) 2.73861 3.38191i 0.376178 0.464541i −0.553535 0.832826i \(-0.686722\pi\)
0.929713 + 0.368285i \(0.120055\pi\)
\(54\) −3.64427 1.62253i −0.495923 0.220799i
\(55\) 0.0309685 + 0.0210218i 0.00417579 + 0.00283458i
\(56\) −10.9379 5.49875i −1.46164 0.734802i
\(57\) −5.16276 + 5.16276i −0.683825 + 0.683825i
\(58\) 0.113687 0.0920622i 0.0149279 0.0120884i
\(59\) 1.67651 + 1.86195i 0.218263 + 0.242406i 0.842326 0.538968i \(-0.181186\pi\)
−0.624063 + 0.781374i \(0.714519\pi\)
\(60\) −11.4641 16.4758i −1.48001 2.12701i
\(61\) −9.91649 8.92884i −1.26968 1.14322i −0.982684 0.185288i \(-0.940678\pi\)
−0.286992 0.957933i \(-0.592655\pi\)
\(62\) −19.5210 + 9.94643i −2.47917 + 1.26320i
\(63\) 5.53838 + 2.43001i 0.697770 + 0.306152i
\(64\) 8.63203 2.80472i 1.07900 0.350590i
\(65\) 0.577069 + 6.82804i 0.0715766 + 0.846915i
\(66\) −0.0694938 + 0.0625725i −0.00855409 + 0.00770214i
\(67\) 0.113980 0.296929i 0.0139249 0.0362757i −0.926442 0.376438i \(-0.877149\pi\)
0.940367 + 0.340162i \(0.110482\pi\)
\(68\) 26.6377 + 7.13755i 3.23030 + 0.865556i
\(69\) 10.1869 + 7.40119i 1.22635 + 0.890999i
\(70\) −8.27429 11.7552i −0.988967 1.40502i
\(71\) −6.35569 + 4.61768i −0.754282 + 0.548018i −0.897151 0.441724i \(-0.854367\pi\)
0.142869 + 0.989742i \(0.454367\pi\)
\(72\) 9.87482 3.79059i 1.16376 0.446725i
\(73\) −2.80391 + 1.82088i −0.328173 + 0.213118i −0.698200 0.715903i \(-0.746015\pi\)
0.370027 + 0.929021i \(0.379349\pi\)
\(74\) 17.6807 + 10.2079i 2.05533 + 1.18665i
\(75\) −1.33356 11.4180i −0.153987 1.31843i
\(76\) 12.3987i 1.42223i
\(77\) −0.0327508 + 0.0298116i −0.00373230 + 0.00339734i
\(78\) −16.9091 2.67814i −1.91458 0.303240i
\(79\) 2.17913 4.89441i 0.245171 0.550664i −0.748481 0.663156i \(-0.769217\pi\)
0.993653 + 0.112492i \(0.0358833\pi\)
\(80\) −7.55984 1.35603i −0.845216 0.151609i
\(81\) 9.71309 4.32455i 1.07923 0.480505i
\(82\) −3.86003 + 14.4058i −0.426270 + 1.59086i
\(83\) 8.63403 1.36750i 0.947708 0.150102i 0.336599 0.941648i \(-0.390723\pi\)
0.611110 + 0.791546i \(0.290723\pi\)
\(84\) 22.1255 8.63088i 2.41409 0.941706i
\(85\) 11.5193 + 10.8057i 1.24944 + 1.17204i
\(86\) 7.32766 8.13819i 0.790162 0.877564i
\(87\) −0.00724415 + 0.138227i −0.000776654 + 0.0148194i
\(88\) −0.00405361 + 0.0773474i −0.000432116 + 0.00824526i
\(89\) 5.60082 6.22034i 0.593686 0.659355i −0.369173 0.929361i \(-0.620359\pi\)
0.962859 + 0.270006i \(0.0870257\pi\)
\(90\) 12.3232 + 1.55004i 1.29898 + 0.163389i
\(91\) −8.01478 1.22498i −0.840177 0.128413i
\(92\) 21.1194 3.34499i 2.20185 0.348739i
\(93\) 5.36531 20.0236i 0.556356 2.07635i
\(94\) −10.2178 + 4.54928i −1.05389 + 0.469222i
\(95\) −3.35223 + 6.25996i −0.343931 + 0.642259i
\(96\) −0.849216 + 1.90737i −0.0866727 + 0.194670i
\(97\) 6.79613 + 1.07640i 0.690043 + 0.109292i 0.491601 0.870821i \(-0.336412\pi\)
0.198442 + 0.980113i \(0.436412\pi\)
\(98\) 15.8124 6.26707i 1.59730 0.633070i
\(99\) 0.0382642i 0.00384569i
\(100\) −15.3118 12.1092i −1.53118 1.21092i
\(101\) −9.18326 5.30196i −0.913768 0.527564i −0.0321267 0.999484i \(-0.510228\pi\)
−0.881642 + 0.471919i \(0.843561\pi\)
\(102\) −33.0939 + 21.4915i −3.27679 + 2.12797i
\(103\) 0.204272 0.0784125i 0.0201275 0.00772622i −0.348283 0.937389i \(-0.613235\pi\)
0.368411 + 0.929663i \(0.379902\pi\)
\(104\) −11.4717 + 8.33468i −1.12489 + 0.817282i
\(105\) 13.5044 + 1.62441i 1.31790 + 0.158526i
\(106\) 8.55461 + 6.21528i 0.830897 + 0.603682i
\(107\) 4.72847 + 1.26699i 0.457119 + 0.122485i 0.480028 0.877253i \(-0.340626\pi\)
−0.0229097 + 0.999738i \(0.507293\pi\)
\(108\) 2.29703 5.98397i 0.221032 0.575808i
\(109\) −5.73459 + 5.16345i −0.549274 + 0.494569i −0.896398 0.443251i \(-0.853825\pi\)
0.347123 + 0.937819i \(0.387158\pi\)
\(110\) −0.0470720 + 0.0778196i −0.00448814 + 0.00741981i
\(111\) −18.3718 + 5.96936i −1.74377 + 0.566587i
\(112\) 3.65130 8.32190i 0.345015 0.786345i
\(113\) −3.56746 + 1.81771i −0.335599 + 0.170996i −0.613666 0.789565i \(-0.710306\pi\)
0.278068 + 0.960561i \(0.410306\pi\)
\(114\) −13.1842 11.8711i −1.23481 1.11183i
\(115\) 11.5673 + 4.02119i 1.07866 + 0.374978i
\(116\) 0.157282 + 0.174679i 0.0146032 + 0.0162185i
\(117\) 5.44407 4.40852i 0.503304 0.407568i
\(118\) −4.30491 + 4.30491i −0.396299 + 0.396299i
\(119\) −15.6177 + 10.2629i −1.43167 + 0.940796i
\(120\) 18.7884 14.5900i 1.71514 1.33188i
\(121\) −10.0487 4.47399i −0.913522 0.406726i
\(122\) 20.4051 25.1982i 1.84739 2.28134i
\(123\) −7.68566 11.8349i −0.692993 1.06712i
\(124\) −17.6014 30.4866i −1.58065 2.73777i
\(125\) −4.45681 10.2536i −0.398630 0.917112i
\(126\) −5.19220 + 13.7481i −0.462558 + 1.22478i
\(127\) 6.49211 + 3.30790i 0.576082 + 0.293528i 0.717654 0.696399i \(-0.245216\pi\)
−0.141572 + 0.989928i \(0.545216\pi\)
\(128\) 7.25261 + 18.8937i 0.641047 + 1.66998i
\(129\) 1.08310 + 10.3050i 0.0953612 + 0.907301i
\(130\) −16.4951 + 2.26860i −1.44672 + 0.198970i
\(131\) −11.7655 1.23661i −1.02796 0.108043i −0.424493 0.905431i \(-0.639548\pi\)
−0.603466 + 0.797389i \(0.706214\pi\)
\(132\) −0.106246 0.106246i −0.00924757 0.00924757i
\(133\) −6.27428 5.58819i −0.544049 0.484557i
\(134\) 0.735006 + 0.238818i 0.0634949 + 0.0206307i
\(135\) 2.77762 2.40019i 0.239060 0.206576i
\(136\) −6.79524 + 31.9691i −0.582687 + 2.74133i
\(137\) 3.28970 + 0.172406i 0.281058 + 0.0147296i 0.192344 0.981327i \(-0.438391\pi\)
0.0887140 + 0.996057i \(0.471724\pi\)
\(138\) −16.6638 + 25.6601i −1.41852 + 2.18433i
\(139\) −1.40509 4.32443i −0.119179 0.366794i 0.873617 0.486614i \(-0.161768\pi\)
−0.992796 + 0.119820i \(0.961768\pi\)
\(140\) 18.1664 14.2653i 1.53534 1.20564i
\(141\) 3.27031 10.0650i 0.275410 0.847625i
\(142\) −12.0133 14.8351i −1.00813 1.24494i
\(143\) 0.0132764 + 0.0495483i 0.00111023 + 0.00414344i
\(144\) 3.19361 + 7.17296i 0.266134 + 0.597747i
\(145\) 0.0321819 + 0.130717i 0.00267256 + 0.0108555i
\(146\) −4.77502 6.57225i −0.395183 0.543923i
\(147\) −5.60451 + 15.0864i −0.462252 + 1.24431i
\(148\) −14.8926 + 29.2285i −1.22417 + 2.40256i
\(149\) 15.7486 9.09246i 1.29018 0.744884i 0.311491 0.950249i \(-0.399172\pi\)
0.978685 + 0.205366i \(0.0658384\pi\)
\(150\) 27.5366 4.68797i 2.24835 0.382771i
\(151\) 9.44990 16.3677i 0.769022 1.33198i −0.169072 0.985604i \(-0.554077\pi\)
0.938094 0.346381i \(-0.112590\pi\)
\(152\) −14.6742 + 0.769041i −1.19023 + 0.0623775i
\(153\) 2.52586 15.9477i 0.204204 1.28929i
\(154\) −0.0765039 0.0756801i −0.00616486 0.00609848i
\(155\) −0.644136 20.1512i −0.0517382 1.61858i
\(156\) 2.87536 27.3573i 0.230213 2.19033i
\(157\) −15.7038 + 4.20781i −1.25330 + 0.335820i −0.823609 0.567158i \(-0.808043\pi\)
−0.429688 + 0.902978i \(0.641376\pi\)
\(158\) 12.1536 + 4.66533i 0.966889 + 0.371154i
\(159\) −9.78643 + 2.08017i −0.776115 + 0.164968i
\(160\) −0.253420 + 2.01474i −0.0200346 + 0.159280i
\(161\) −7.82597 + 12.1950i −0.616773 + 0.961097i
\(162\) 11.7289 + 23.0193i 0.921510 + 1.80856i
\(163\) 7.85580 + 5.10162i 0.615314 + 0.399590i 0.814326 0.580407i \(-0.197107\pi\)
−0.199012 + 0.979997i \(0.563773\pi\)
\(164\) −23.4399 4.98231i −1.83035 0.389053i
\(165\) −0.0249169 0.0823683i −0.00193978 0.00641237i
\(166\) 4.41627 + 20.7769i 0.342769 + 1.61260i
\(167\) 1.18224 + 7.46435i 0.0914842 + 0.577608i 0.990263 + 0.139207i \(0.0444553\pi\)
−0.898779 + 0.438402i \(0.855545\pi\)
\(168\) 11.5872 + 25.6507i 0.893972 + 1.97899i
\(169\) 2.12129 2.91971i 0.163177 0.224593i
\(170\) −24.7555 + 29.3262i −1.89866 + 2.24922i
\(171\) 7.21963 0.758813i 0.552099 0.0580279i
\(172\) 13.6746 + 11.0735i 1.04268 + 0.844343i
\(173\) −1.22482 23.3710i −0.0931217 1.77687i −0.502572 0.864535i \(-0.667613\pi\)
0.409451 0.912332i \(-0.365720\pi\)
\(174\) −0.336334 −0.0254974
\(175\) 13.0289 2.29075i 0.984893 0.173164i
\(176\) −0.0574953 −0.00433387
\(177\) −0.301479 5.75255i −0.0226605 0.432388i
\(178\) 15.8062 + 12.7996i 1.18472 + 0.959369i
\(179\) −13.5506 + 1.42423i −1.01282 + 0.106452i −0.596373 0.802707i \(-0.703392\pi\)
−0.416449 + 0.909159i \(0.636726\pi\)
\(180\) −1.45088 + 19.9039i −0.108142 + 1.48355i
\(181\) 3.38018 4.65241i 0.251247 0.345811i −0.664701 0.747110i \(-0.731441\pi\)
0.915947 + 0.401298i \(0.131441\pi\)
\(182\) 1.95323 19.6040i 0.144783 1.45314i
\(183\) 4.79930 + 30.3016i 0.354774 + 2.23996i
\(184\) 5.26883 + 24.7879i 0.388423 + 1.82739i
\(185\) −15.4216 + 10.7306i −1.13382 + 0.788929i
\(186\) 49.2704 + 10.4727i 3.61268 + 0.767899i
\(187\) 0.0991590 + 0.0643946i 0.00725122 + 0.00470900i
\(188\) −8.15893 16.0128i −0.595051 1.16785i
\(189\) 1.99286 + 3.85941i 0.144959 + 0.280731i
\(190\) −15.6164 7.33824i −1.13293 0.532372i
\(191\) 14.4947 3.08094i 1.04880 0.222929i 0.348892 0.937163i \(-0.386558\pi\)
0.699907 + 0.714234i \(0.253225\pi\)
\(192\) −19.4814 7.47820i −1.40595 0.539693i
\(193\) −16.0726 + 4.30663i −1.15693 + 0.309998i −0.785739 0.618558i \(-0.787717\pi\)
−0.371191 + 0.928557i \(0.621050\pi\)
\(194\) −1.74767 + 16.6280i −0.125475 + 1.19382i
\(195\) 8.84829 13.0350i 0.633639 0.933452i
\(196\) 11.3857 + 24.8453i 0.813266 + 1.77467i
\(197\) 2.43376 15.3662i 0.173398 1.09479i −0.735423 0.677608i \(-0.763017\pi\)
0.908821 0.417185i \(-0.136983\pi\)
\(198\) 0.0928496 0.00486604i 0.00659854 0.000345815i
\(199\) 0.988951 1.71291i 0.0701049 0.121425i −0.828842 0.559482i \(-0.811000\pi\)
0.898947 + 0.438057i \(0.144333\pi\)
\(200\) 13.3818 18.8730i 0.946235 1.33452i
\(201\) −0.633276 + 0.365622i −0.0446678 + 0.0257890i
\(202\) 11.6976 22.9578i 0.823039 1.61531i
\(203\) −0.159283 0.000862231i −0.0111795 6.05168e-5i
\(204\) −37.2677 51.2946i −2.60926 3.59134i
\(205\) −10.4875 8.85294i −0.732478 0.618316i
\(206\) 0.216248 + 0.485702i 0.0150667 + 0.0338405i
\(207\) −3.24028 12.0929i −0.225215 0.840514i
\(208\) −6.62419 8.18019i −0.459305 0.567194i
\(209\) −0.0164266 + 0.0505557i −0.00113625 + 0.00349701i
\(210\) −2.22435 + 32.9756i −0.153494 + 2.27553i
\(211\) 2.82445 + 8.69276i 0.194443 + 0.598434i 0.999983 + 0.00589215i \(0.00187554\pi\)
−0.805540 + 0.592542i \(0.798124\pi\)
\(212\) −9.25355 + 14.2492i −0.635536 + 0.978640i
\(213\) 18.0373 + 0.945293i 1.23589 + 0.0647704i
\(214\) −2.47309 + 11.6350i −0.169057 + 0.795349i
\(215\) 3.91022 + 9.28804i 0.266675 + 0.633439i
\(216\) 7.22465 + 2.34743i 0.491575 + 0.159722i
\(217\) 23.3606 + 4.83343i 1.58582 + 0.328115i
\(218\) −13.2586 13.2586i −0.897985 0.897985i
\(219\) 7.64448 + 0.803468i 0.516566 + 0.0542933i
\(220\) −0.128826 0.0689868i −0.00868546 0.00465109i
\(221\) 2.26258 + 21.5270i 0.152198 + 1.44806i
\(222\) −16.8212 43.8208i −1.12897 2.94106i
\(223\) 6.62726 + 3.37676i 0.443794 + 0.226124i 0.661584 0.749871i \(-0.269885\pi\)
−0.217789 + 0.975996i \(0.569885\pi\)
\(224\) −2.24771 0.848882i −0.150181 0.0567183i
\(225\) −6.11394 + 9.65699i −0.407596 + 0.643800i
\(226\) −4.86443 8.42544i −0.323577 0.560452i
\(227\) −6.38180 9.82711i −0.423575 0.652249i 0.560877 0.827899i \(-0.310464\pi\)
−0.984453 + 0.175650i \(0.943797\pi\)
\(228\) 17.9395 22.1534i 1.18807 1.46714i
\(229\) 24.6116 + 10.9578i 1.62638 + 0.724110i 0.998529 0.0542256i \(-0.0172690\pi\)
0.627849 + 0.778335i \(0.283936\pi\)
\(230\) −8.28657 + 28.5800i −0.546401 + 1.88451i
\(231\) 0.101651 0.00587925i 0.00668816 0.000386826i
\(232\) −0.196981 + 0.196981i −0.0129324 + 0.0129324i
\(233\) −16.9779 + 13.7484i −1.11226 + 0.900689i −0.995713 0.0924959i \(-0.970515\pi\)
−0.116546 + 0.993185i \(0.537182\pi\)
\(234\) 11.3898 + 12.6496i 0.744573 + 0.826932i
\(235\) 0.210015 10.2906i 0.0136998 0.671284i
\(236\) −7.26958 6.54556i −0.473209 0.426080i
\(237\) −10.9752 + 5.59214i −0.712915 + 0.363248i
\(238\) −26.8894 36.5919i −1.74298 2.37190i
\(239\) −4.05851 + 1.31869i −0.262523 + 0.0852989i −0.437321 0.899305i \(-0.644073\pi\)
0.174798 + 0.984604i \(0.444073\pi\)
\(240\) 11.5455 + 13.3611i 0.745260 + 0.862453i
\(241\) −0.122038 + 0.109884i −0.00786117 + 0.00707823i −0.673052 0.739595i \(-0.735017\pi\)
0.665191 + 0.746674i \(0.268350\pi\)
\(242\) 9.57843 24.9527i 0.615725 1.60402i
\(243\) −18.8546 5.05209i −1.20953 0.324092i
\(244\) 42.1485 + 30.6227i 2.69828 + 1.96042i
\(245\) −0.968881 + 15.6225i −0.0618996 + 0.998082i
\(246\) 27.7405 20.1546i 1.76867 1.28501i
\(247\) −9.08541 + 3.48756i −0.578091 + 0.221908i
\(248\) 34.9898 22.7227i 2.22186 1.44289i
\(249\) −17.4055 10.0490i −1.10303 0.636832i
\(250\) 24.3141 12.1186i 1.53776 0.766447i
\(251\) 0.132304i 0.00835098i −0.999991 0.00417549i \(-0.998671\pi\)
0.999991 0.00417549i \(-0.00132910\pi\)
\(252\) −22.4966 7.17519i −1.41715 0.451995i
\(253\) 0.0905461 + 0.0143411i 0.00569259 + 0.000901617i
\(254\) −7.20115 + 16.1741i −0.451840 + 1.01485i
\(255\) −4.94757 35.9741i −0.309829 2.25278i
\(256\) −28.3409 + 12.6182i −1.77131 + 0.788637i
\(257\) −2.37849 + 8.87663i −0.148366 + 0.553709i 0.851217 + 0.524815i \(0.175865\pi\)
−0.999582 + 0.0288944i \(0.990801\pi\)
\(258\) −24.8677 + 3.93865i −1.54819 + 0.245210i
\(259\) −8.07863 20.7098i −0.501982 1.28684i
\(260\) −5.02727 26.2770i −0.311778 1.62963i
\(261\) 0.0920877 0.102274i 0.00570008 0.00633058i
\(262\) 1.50446 28.7068i 0.0929458 1.77351i
\(263\) 1.09475 20.8891i 0.0675052 1.28808i −0.729449 0.684036i \(-0.760223\pi\)
0.796954 0.604040i \(-0.206443\pi\)
\(264\) 0.119155 0.132335i 0.00733350 0.00814468i
\(265\) −8.52455 + 4.69239i −0.523659 + 0.288251i
\(266\) 12.7621 15.9354i 0.782492 0.977065i
\(267\) −19.0074 + 3.01047i −1.16323 + 0.184238i
\(268\) −0.321394 + 1.19946i −0.0196323 + 0.0732687i
\(269\) 1.38180 0.615216i 0.0842497 0.0375104i −0.364179 0.931329i \(-0.618650\pi\)
0.448429 + 0.893819i \(0.351984\pi\)
\(270\) 6.17739 + 6.43479i 0.375944 + 0.391609i
\(271\) 3.69590 8.30112i 0.224510 0.504257i −0.765809 0.643068i \(-0.777661\pi\)
0.990319 + 0.138811i \(0.0443279\pi\)
\(272\) −23.9627 3.79533i −1.45295 0.230125i
\(273\) 12.5480 + 13.7852i 0.759439 + 0.834316i
\(274\) 8.00453i 0.483571i
\(275\) −0.0463910 0.0696612i −0.00279748 0.00420073i
\(276\) −42.5749 24.5807i −2.56271 1.47958i
\(277\) −11.4597 + 7.44201i −0.688546 + 0.447147i −0.840908 0.541177i \(-0.817979\pi\)
0.152362 + 0.988325i \(0.451312\pi\)
\(278\) 10.3147 3.95946i 0.618637 0.237472i
\(279\) −16.6747 + 12.1149i −0.998291 + 0.725301i
\(280\) 18.0101 + 20.6156i 1.07631 + 1.23202i
\(281\) −3.22462 2.34282i −0.192365 0.139761i 0.487434 0.873160i \(-0.337933\pi\)
−0.679799 + 0.733399i \(0.737933\pi\)
\(282\) 24.8390 + 6.65559i 1.47914 + 0.396334i
\(283\) −6.77206 + 17.6418i −0.402557 + 1.04870i 0.571140 + 0.820853i \(0.306501\pi\)
−0.973697 + 0.227845i \(0.926832\pi\)
\(284\) 22.7939 20.5238i 1.35257 1.21786i
\(285\) 15.0470 6.33471i 0.891308 0.375236i
\(286\) −0.118543 + 0.0385168i −0.00700957 + 0.00227755i
\(287\) 13.0858 9.61605i 0.772431 0.567618i
\(288\) 1.84965 0.942442i 0.108991 0.0555339i
\(289\) 24.4430 + 22.0086i 1.43783 + 1.29462i
\(290\) −0.313098 + 0.0947139i −0.0183858 + 0.00556179i
\(291\) −10.5856 11.7565i −0.620536 0.689176i
\(292\) 10.1442 8.21458i 0.593642 0.480722i
\(293\) 4.94524 4.94524i 0.288904 0.288904i −0.547743 0.836647i \(-0.684513\pi\)
0.836647 + 0.547743i \(0.184513\pi\)
\(294\) −37.3206 11.6810i −2.17658 0.681252i
\(295\) −1.90061 5.27024i −0.110658 0.306845i
\(296\) −35.5163 15.8129i −2.06434 0.919105i
\(297\) 0.0172941 0.0213564i 0.00100350 0.00123922i
\(298\) 24.0660 + 37.0584i 1.39410 + 2.14673i
\(299\) 8.39168 + 14.5348i 0.485303 + 0.840570i
\(300\) 9.83785 + 43.7905i 0.567988 + 2.52824i
\(301\) −11.7669 + 1.92904i −0.678231 + 0.111188i
\(302\) 40.9187 + 20.8491i 2.35460 + 1.19973i
\(303\) 8.73688 + 22.7604i 0.501921 + 1.30755i
\(304\) −1.14018 10.8481i −0.0653940 0.622182i
\(305\) 13.0009 + 26.8567i 0.744428 + 1.53781i
\(306\) 39.0189 + 4.10105i 2.23056 + 0.234441i
\(307\) 4.76473 + 4.76473i 0.271938 + 0.271938i 0.829880 0.557942i \(-0.188409\pi\)
−0.557942 + 0.829880i \(0.688409\pi\)
\(308\) 0.115001 0.129121i 0.00655282 0.00735734i
\(309\) −0.478436 0.155453i −0.0272173 0.00884342i
\(310\) 48.8158 4.12564i 2.77255 0.234321i
\(311\) −0.546587 + 2.57149i −0.0309941 + 0.145816i −0.990924 0.134425i \(-0.957081\pi\)
0.959930 + 0.280241i \(0.0904145\pi\)
\(312\) 32.5563 + 1.70621i 1.84314 + 0.0965948i
\(313\) −2.36870 + 3.64748i −0.133887 + 0.206168i −0.899255 0.437425i \(-0.855890\pi\)
0.765368 + 0.643593i \(0.222557\pi\)
\(314\) −12.2075 37.5707i −0.688908 2.12024i
\(315\) −9.41832 9.70505i −0.530662 0.546818i
\(316\) −6.46387 + 19.8938i −0.363621 + 1.11911i
\(317\) 13.0585 + 16.1259i 0.733440 + 0.905723i 0.998283 0.0585688i \(-0.0186537\pi\)
−0.264844 + 0.964291i \(0.585320\pi\)
\(318\) −6.29216 23.4827i −0.352847 1.31684i
\(319\) 0.000409890 0 0.000920629i 2.29494e−5 0 5.15453e-5i
\(320\) −20.2414 1.47548i −1.13153 0.0824819i
\(321\) −6.61541 9.10533i −0.369236 0.508210i
\(322\) −30.5868 17.4392i −1.70453 0.971849i
\(323\) −10.1835 + 19.9862i −0.566623 + 1.11206i
\(324\) −35.9500 + 20.7557i −1.99722 + 1.15310i
\(325\) 4.56628 14.6262i 0.253291 0.811314i
\(326\) −11.3803 + 19.7112i −0.630295 + 1.09170i
\(327\) 17.7172 0.928518i 0.979762 0.0513471i
\(328\) 4.44281 28.0508i 0.245313 1.54884i
\(329\) 11.7804 + 3.08831i 0.649477 + 0.170264i
\(330\) 0.196702 0.0709366i 0.0108281 0.00390493i
\(331\) −1.66114 + 15.8047i −0.0913045 + 0.868705i 0.849005 + 0.528385i \(0.177202\pi\)
−0.940310 + 0.340320i \(0.889465\pi\)
\(332\) −32.9669 + 8.83346i −1.80929 + 0.484799i
\(333\) 17.9308 + 6.88300i 0.982604 + 0.377186i
\(334\) −17.9622 + 3.81798i −0.982848 + 0.208911i
\(335\) −0.486565 + 0.518698i −0.0265839 + 0.0283395i
\(336\) −18.5647 + 9.58615i −1.01279 + 0.522967i
\(337\) −11.6113 22.7884i −0.632508 1.24137i −0.955507 0.294967i \(-0.904691\pi\)
0.323000 0.946399i \(-0.395309\pi\)
\(338\) 7.35457 + 4.77611i 0.400036 + 0.259786i
\(339\) 9.00418 + 1.91390i 0.489040 + 0.103949i
\(340\) −49.1380 37.2561i −2.66488 2.02050i
\(341\) −0.0313794 0.147628i −0.00169929 0.00799452i
\(342\) 2.75941 + 17.4222i 0.149212 + 0.942086i
\(343\) −17.7044 5.43629i −0.955949 0.293532i
\(344\) −12.2575 + 16.8710i −0.660882 + 0.909626i
\(345\) −14.8497 23.9214i −0.799483 1.28789i
\(346\) 56.5550 5.94418i 3.04042 0.319561i
\(347\) 11.7761 + 9.53608i 0.632173 + 0.511923i 0.891002 0.454000i \(-0.150003\pi\)
−0.258829 + 0.965923i \(0.583337\pi\)
\(348\) −0.0282832 0.539675i −0.00151614 0.0289296i
\(349\) 1.48928 0.0797192 0.0398596 0.999205i \(-0.487309\pi\)
0.0398596 + 0.999205i \(0.487309\pi\)
\(350\) 7.21547 + 31.3239i 0.385683 + 1.67433i
\(351\) 5.03100 0.268535
\(352\) 0.000795558 0.0151802i 4.24034e−5 0.000809105i
\(353\) −7.30497 5.91545i −0.388804 0.314847i 0.414911 0.909862i \(-0.363813\pi\)
−0.803715 + 0.595015i \(0.797146\pi\)
\(354\) 13.9205 1.46310i 0.739865 0.0777629i
\(355\) 17.0574 4.19943i 0.905311 0.222883i
\(356\) −19.2088 + 26.4386i −1.01806 + 1.40124i
\(357\) 42.7541 + 4.25978i 2.26279 + 0.225451i
\(358\) −5.17918 32.7001i −0.273728 1.72825i
\(359\) −1.27728 6.00914i −0.0674124 0.317150i 0.931502 0.363736i \(-0.118499\pi\)
−0.998914 + 0.0465862i \(0.985166\pi\)
\(360\) −23.6468 0.482594i −1.24630 0.0254349i
\(361\) 8.72027 + 1.85355i 0.458962 + 0.0975553i
\(362\) 11.7191 + 7.61049i 0.615944 + 0.399999i
\(363\) 11.4813 + 22.5332i 0.602610 + 1.18269i
\(364\) 31.6204 + 1.48557i 1.65736 + 0.0778648i
\(365\) 7.34263 1.40478i 0.384331 0.0735295i
\(366\) −72.9177 + 15.4991i −3.81147 + 0.810153i
\(367\) 33.6866 + 12.9311i 1.75843 + 0.674997i 0.999722 + 0.0235632i \(0.00750108\pi\)
0.758705 + 0.651434i \(0.225832\pi\)
\(368\) −18.1706 + 4.86880i −0.947209 + 0.253804i
\(369\) −1.46660 + 13.9537i −0.0763479 + 0.726402i
\(370\) −27.9994 36.0565i −1.45562 1.87449i
\(371\) −3.04007 11.1049i −0.157833 0.576538i
\(372\) −12.6611 + 79.9390i −0.656447 + 4.14464i
\(373\) −18.5645 + 0.972924i −0.961233 + 0.0503761i −0.526493 0.850180i \(-0.676493\pi\)
−0.434741 + 0.900556i \(0.643160\pi\)
\(374\) −0.143646 + 0.248802i −0.00742777 + 0.0128653i
\(375\) −6.87256 + 24.7691i −0.354898 + 1.27907i
\(376\) 18.4455 10.6495i 0.951252 0.549206i
\(377\) −0.0837587 + 0.164386i −0.00431379 + 0.00846629i
\(378\) −9.11160 + 5.32655i −0.468650 + 0.273968i
\(379\) −13.0838 18.0083i −0.672068 0.925022i 0.327737 0.944769i \(-0.393714\pi\)
−0.999805 + 0.0197466i \(0.993714\pi\)
\(380\) 10.4616 25.6748i 0.536667 1.31709i
\(381\) −6.81365 15.3037i −0.349074 0.784032i
\(382\) 9.31932 + 34.7802i 0.476818 + 1.77951i
\(383\) −9.68844 11.9642i −0.495056 0.611344i 0.466979 0.884268i \(-0.345342\pi\)
−0.962035 + 0.272925i \(0.912009\pi\)
\(384\) 14.3783 44.2520i 0.733742 2.25822i
\(385\) 0.0929731 0.0340988i 0.00473835 0.00173783i
\(386\) −12.4942 38.4531i −0.635937 1.95721i
\(387\) 5.61105 8.64026i 0.285226 0.439209i
\(388\) −26.8279 1.40599i −1.36198 0.0713784i
\(389\) 2.47851 11.6605i 0.125666 0.591211i −0.869578 0.493795i \(-0.835609\pi\)
0.995244 0.0974152i \(-0.0310575\pi\)
\(390\) 32.7551 + 19.8131i 1.65862 + 1.00327i
\(391\) 36.7909 + 11.9541i 1.86060 + 0.604545i
\(392\) −28.6988 + 15.0163i −1.44951 + 0.758440i
\(393\) 19.2328 + 19.2328i 0.970168 + 0.970168i
\(394\) 37.5961 + 3.95151i 1.89407 + 0.199074i
\(395\) −8.64219 + 8.29649i −0.434836 + 0.417442i
\(396\) 0.0156159 + 0.148576i 0.000784729 + 0.00746620i
\(397\) −2.42929 6.32850i −0.121922 0.317619i 0.859013 0.511954i \(-0.171078\pi\)
−0.980935 + 0.194336i \(0.937745\pi\)
\(398\) 4.28222 + 2.18190i 0.214648 + 0.109369i
\(399\) 3.12512 + 19.0628i 0.156452 + 0.954335i
\(400\) 14.5105 + 9.18673i 0.725524 + 0.459336i
\(401\) −9.14254 15.8353i −0.456557 0.790779i 0.542220 0.840237i \(-0.317584\pi\)
−0.998776 + 0.0494575i \(0.984251\pi\)
\(402\) −0.967730 1.49017i −0.0482660 0.0743231i
\(403\) 17.3887 21.4732i 0.866190 1.06966i
\(404\) 37.8213 + 16.8391i 1.88168 + 0.837779i
\(405\) −23.7624 + 0.759570i −1.18076 + 0.0377433i
\(406\) −0.0223482 0.386397i −0.00110912 0.0191765i
\(407\) −0.0994483 + 0.0994483i −0.00492947 + 0.00492947i
\(408\) 58.3969 47.2888i 2.89108 2.34115i
\(409\) −10.6452 11.8226i −0.526369 0.584592i 0.420063 0.907495i \(-0.362008\pi\)
−0.946432 + 0.322903i \(0.895341\pi\)
\(410\) 20.1483 26.5742i 0.995056 1.31240i
\(411\) −5.62843 5.06786i −0.277630 0.249979i
\(412\) −0.761163 + 0.387832i −0.0374998 + 0.0191071i
\(413\) 6.58878 0.728590i 0.324213 0.0358516i
\(414\) 28.9318 9.40052i 1.42192 0.462010i
\(415\) −19.0329 4.45332i −0.934288 0.218605i
\(416\) −2.06811 + 1.86214i −0.101397 + 0.0912987i
\(417\) −3.74639 + 9.75968i −0.183462 + 0.477934i
\(418\) −0.124765 0.0334306i −0.00610243 0.00163514i
\(419\) −28.7560 20.8925i −1.40482 1.02066i −0.994050 0.108926i \(-0.965259\pi\)
−0.410773 0.911738i \(-0.634741\pi\)
\(420\) −53.0991 0.796143i −2.59097 0.0388478i
\(421\) −11.3679 + 8.25925i −0.554037 + 0.402531i −0.829272 0.558846i \(-0.811244\pi\)
0.275235 + 0.961377i \(0.411244\pi\)
\(422\) −20.7342 + 7.95910i −1.00932 + 0.387443i
\(423\) −8.82473 + 5.73085i −0.429073 + 0.278643i
\(424\) −17.4383 10.0680i −0.846876 0.488944i
\(425\) −14.7363 32.0956i −0.714816 1.55686i
\(426\) 43.8884i 2.12640i
\(427\) −34.4930 + 7.52710i −1.66923 + 0.364262i
\(428\) −18.8772 2.98985i −0.912464 0.144520i
\(429\) 0.0479688 0.107740i 0.00231596 0.00520172i
\(430\) −22.0406 + 10.6695i −1.06289 + 0.514527i
\(431\) 3.47670 1.54793i 0.167467 0.0745610i −0.321291 0.946980i \(-0.604117\pi\)
0.488758 + 0.872419i \(0.337450\pi\)
\(432\) −1.45948 + 5.44685i −0.0702192 + 0.262061i
\(433\) −1.22529 + 0.194066i −0.0588836 + 0.00932624i −0.185807 0.982586i \(-0.559490\pi\)
0.126923 + 0.991913i \(0.459490\pi\)
\(434\) −8.75776 + 57.3001i −0.420386 + 2.75049i
\(435\) 0.131631 0.280122i 0.00631124 0.0134308i
\(436\) 20.1595 22.3894i 0.965467 1.07226i
\(437\) −0.910245 + 17.3685i −0.0435429 + 0.830848i
\(438\) −0.977501 + 18.6518i −0.0467068 + 0.891219i
\(439\) −3.64427 + 4.04738i −0.173932 + 0.193171i −0.823807 0.566870i \(-0.808154\pi\)
0.649876 + 0.760041i \(0.274821\pi\)
\(440\) 0.0736569 0.156748i 0.00351146 0.00747266i
\(441\) 13.7703 8.15034i 0.655730 0.388111i
\(442\) −51.9485 + 8.22783i −2.47094 + 0.391358i
\(443\) −4.73507 + 17.6715i −0.224970 + 0.839599i 0.757447 + 0.652897i \(0.226447\pi\)
−0.982417 + 0.186702i \(0.940220\pi\)
\(444\) 68.8995 30.6760i 3.26983 1.45582i
\(445\) −16.8465 + 8.15509i −0.798599 + 0.386589i
\(446\) −7.35106 + 16.5107i −0.348083 + 0.781807i
\(447\) −41.2945 6.54041i −1.95316 0.309351i
\(448\) 7.29685 22.8780i 0.344744 1.08089i
\(449\) 7.28927i 0.344002i −0.985097 0.172001i \(-0.944977\pi\)
0.985097 0.172001i \(-0.0550232\pi\)
\(450\) −24.2106 13.6076i −1.14130 0.641471i
\(451\) −0.0889755 0.0513700i −0.00418969 0.00241892i
\(452\) 13.1102 8.51389i 0.616654 0.400460i
\(453\) −40.5667 + 15.5721i −1.90599 + 0.731641i
\(454\) 23.0343 16.7354i 1.08105 0.785432i
\(455\) 15.5631 + 9.29922i 0.729611 + 0.435954i
\(456\) 27.3318 + 19.8577i 1.27993 + 0.929922i
\(457\) −11.4145 3.05849i −0.533946 0.143070i −0.0182361 0.999834i \(-0.505805\pi\)
−0.515710 + 0.856763i \(0.672472\pi\)
\(458\) −23.4596 + 61.1145i −1.09620 + 2.85569i
\(459\) 8.61754 7.75927i 0.402232 0.362172i
\(460\) −46.5558 10.8931i −2.17067 0.507894i
\(461\) 0.809532 0.263033i 0.0377037 0.0122507i −0.290104 0.956995i \(-0.593690\pi\)
0.327808 + 0.944744i \(0.393690\pi\)
\(462\) 0.0271932 + 0.245913i 0.00126514 + 0.0114409i
\(463\) 34.4372 17.5466i 1.60043 0.815460i 0.600557 0.799582i \(-0.294945\pi\)
0.999874 0.0158788i \(-0.00505458\pi\)
\(464\) −0.153675 0.138370i −0.00713419 0.00642365i
\(465\) −28.0055 + 36.9371i −1.29872 + 1.71292i
\(466\) −35.5202 39.4492i −1.64544 1.82745i
\(467\) −6.95024 + 5.62819i −0.321619 + 0.260442i −0.776509 0.630106i \(-0.783012\pi\)
0.454891 + 0.890547i \(0.349678\pi\)
\(468\) −19.3396 + 19.3396i −0.893972 + 0.893972i
\(469\) −0.462123 0.703244i −0.0213389 0.0324728i
\(470\) 24.9973 0.799042i 1.15304 0.0368570i
\(471\) 34.1469 + 15.2032i 1.57341 + 0.700525i
\(472\) 7.29593 9.00972i 0.335822 0.414706i
\(473\) 0.0410873 + 0.0632689i 0.00188920 + 0.00290911i
\(474\) −14.9653 25.9206i −0.687377 1.19057i
\(475\) 12.2236 10.1344i 0.560857 0.464999i
\(476\) 56.4535 46.2233i 2.58754 2.11864i
\(477\) 8.86348 + 4.51617i 0.405831 + 0.206781i
\(478\) −3.71597 9.68044i −0.169965 0.442773i
\(479\) 0.101310 + 0.963902i 0.00462898 + 0.0440418i 0.996593 0.0824819i \(-0.0262847\pi\)
−0.991964 + 0.126524i \(0.959618\pi\)
\(480\) 3.36789 3.23318i 0.153723 0.147574i
\(481\) −25.6068 2.69138i −1.16757 0.122717i
\(482\) −0.282157 0.282157i −0.0128519 0.0128519i
\(483\) 31.6277 10.4661i 1.43911 0.476223i
\(484\) 40.8440 + 13.2710i 1.85655 + 0.603228i
\(485\) −13.1650 7.96330i −0.597790 0.361595i
\(486\) 9.86136 46.3941i 0.447320 2.10448i
\(487\) 34.6240 + 1.81457i 1.56896 + 0.0822258i 0.816866 0.576827i \(-0.195709\pi\)
0.752096 + 0.659053i \(0.229043\pi\)
\(488\) −33.6284 + 51.7832i −1.52229 + 2.34412i
\(489\) −6.65491 20.4817i −0.300946 0.926215i
\(490\) −38.0318 0.364328i −1.71810 0.0164587i
\(491\) 1.58176 4.86817i 0.0713840 0.219697i −0.908999 0.416798i \(-0.863152\pi\)
0.980383 + 0.197100i \(0.0631524\pi\)
\(492\) 34.6725 + 42.8170i 1.56316 + 1.93034i
\(493\) 0.110061 + 0.410755i 0.00495692 + 0.0184995i
\(494\) −9.61810 21.6026i −0.432739 0.971948i
\(495\) −0.0322859 + 0.0792361i −0.00145114 + 0.00356140i
\(496\) 18.2037 + 25.0553i 0.817371 + 1.12501i
\(497\) 0.112513 + 20.7849i 0.00504690 + 0.932330i
\(498\) 22.1710 43.5130i 0.993506 1.94986i
\(499\) −31.5502 + 18.2155i −1.41238 + 0.815438i −0.995612 0.0935745i \(-0.970171\pi\)
−0.416768 + 0.909013i \(0.636837\pi\)
\(500\) 21.4899 + 37.9948i 0.961058 + 1.69918i
\(501\) 8.68766 15.0475i 0.388136 0.672271i
\(502\) 0.321042 0.0168251i 0.0143288 0.000750941i
\(503\) −0.209162 + 1.32059i −0.00932605 + 0.0588824i −0.991912 0.126924i \(-0.959490\pi\)
0.982586 + 0.185806i \(0.0594896\pi\)
\(504\) 7.09664 27.0703i 0.316110 1.20581i
\(505\) 14.5428 + 18.7276i 0.647145 + 0.833367i
\(506\) −0.0232846 + 0.221538i −0.00103512 + 0.00984855i
\(507\) −8.01470 + 2.14753i −0.355945 + 0.0953752i
\(508\) −26.5581 10.1947i −1.17833 0.452317i
\(509\) −18.7407 + 3.98347i −0.830669 + 0.176564i −0.603573 0.797308i \(-0.706257\pi\)
−0.227097 + 0.973872i \(0.572923\pi\)
\(510\) 86.6634 16.5803i 3.83752 0.734188i
\(511\) −0.415114 + 8.83574i −0.0183636 + 0.390870i
\(512\) −15.8470 31.1015i −0.700346 1.37451i
\(513\) 4.37245 + 2.83950i 0.193048 + 0.125367i
\(514\) −21.8420 4.64266i −0.963409 0.204779i
\(515\) −0.489160 0.00998298i −0.0215550 0.000439903i
\(516\) −8.41107 39.5710i −0.370277 1.74202i
\(517\) −0.0120533 0.0761016i −0.000530104 0.00334694i
\(518\) 49.2258 22.2368i 2.16286 0.977028i
\(519\) −31.6267 + 43.5304i −1.38826 + 1.91077i
\(520\) 30.7877 7.57976i 1.35013 0.332394i
\(521\) 14.5325 1.52742i 0.636678 0.0669176i 0.219310 0.975655i \(-0.429619\pi\)
0.417368 + 0.908738i \(0.362953\pi\)
\(522\) 0.259882 + 0.210448i 0.0113747 + 0.00921108i
\(523\) 1.82151 + 34.7566i 0.0796493 + 1.51980i 0.687755 + 0.725943i \(0.258596\pi\)
−0.608106 + 0.793856i \(0.708070\pi\)
\(524\) 46.1889 2.01777
\(525\) −26.5938 14.7583i −1.16065 0.644105i
\(526\) 50.8274 2.21618
\(527\) −3.33311 63.5996i −0.145193 2.77044i
\(528\) 0.102730 + 0.0831888i 0.00447073 + 0.00362033i
\(529\) 6.95634 0.731141i 0.302449 0.0317887i
\(530\) −12.4703 20.0884i −0.541677 0.872586i
\(531\) −3.36650 + 4.63359i −0.146094 + 0.201081i
\(532\) 26.6429 + 19.1377i 1.15512 + 0.829725i
\(533\) −2.94239 18.5775i −0.127449 0.804683i
\(534\) −9.72219 45.7393i −0.420720 1.97933i
\(535\) −8.72251 6.61335i −0.377107 0.285920i
\(536\) −1.43952 0.305980i −0.0621780 0.0132163i
\(537\) 26.2723 + 17.0614i 1.13373 + 0.736255i
\(538\) 1.66857 + 3.27475i 0.0719372 + 0.141185i
\(539\) 0.0135087 + 0.116391i 0.000581862 + 0.00501333i
\(540\) −9.80566 + 10.4532i −0.421969 + 0.449836i
\(541\) 16.9335 3.59933i 0.728028 0.154747i 0.171036 0.985265i \(-0.445289\pi\)
0.556992 + 0.830518i \(0.311955\pi\)
\(542\) 20.6130 + 7.91260i 0.885405 + 0.339875i
\(543\) −12.7710 + 3.42198i −0.548057 + 0.146851i
\(544\) −0.670488 + 6.37926i −0.0287469 + 0.273509i
\(545\) 16.2317 5.85365i 0.695290 0.250743i
\(546\) −31.8546 + 32.2013i −1.36325 + 1.37809i
\(547\) 1.54775 9.77211i 0.0661770 0.417825i −0.932253 0.361808i \(-0.882160\pi\)
0.998430 0.0560177i \(-0.0178403\pi\)
\(548\) −12.8439 + 0.673121i −0.548665 + 0.0287543i
\(549\) 15.2517 26.4167i 0.650927 1.12744i
\(550\) 0.163136 0.121428i 0.00695615 0.00517773i
\(551\) −0.165574 + 0.0955944i −0.00705370 + 0.00407246i
\(552\) 26.4511 51.9131i 1.12583 2.20957i
\(553\) −7.15378 12.2373i −0.304210 0.520381i
\(554\) −19.5157 26.8610i −0.829142 1.14122i
\(555\) 43.0804 + 3.14031i 1.82866 + 0.133299i
\(556\) 7.22066 + 16.2179i 0.306224 + 0.687791i
\(557\) −4.19928 15.6719i −0.177929 0.664041i −0.996034 0.0889717i \(-0.971642\pi\)
0.818105 0.575069i \(-0.195025\pi\)
\(558\) −31.5179 38.9213i −1.33426 1.64767i
\(559\) −4.26786 + 13.1351i −0.180511 + 0.555557i
\(560\) −14.5827 + 14.1519i −0.616231 + 0.598025i
\(561\) −0.0840009 0.258528i −0.00354652 0.0109151i
\(562\) 5.27488 8.12260i 0.222507 0.342631i
\(563\) 30.9666 + 1.62289i 1.30509 + 0.0683966i 0.692160 0.721744i \(-0.256659\pi\)
0.612925 + 0.790141i \(0.289993\pi\)
\(564\) −8.59065 + 40.4158i −0.361732 + 1.70181i
\(565\) 8.92109 0.753962i 0.375313 0.0317194i
\(566\) −43.6698 14.1892i −1.83558 0.596416i
\(567\) 5.69961 27.5470i 0.239361 1.15686i
\(568\) 25.7042 + 25.7042i 1.07852 + 1.07852i
\(569\) −13.2566 1.39333i −0.555746 0.0584112i −0.177507 0.984119i \(-0.556803\pi\)
−0.378238 + 0.925708i \(0.623470\pi\)
\(570\) 17.2850 + 35.7066i 0.723988 + 1.49559i
\(571\) −0.872701 8.30320i −0.0365214 0.347478i −0.997489 0.0708179i \(-0.977439\pi\)
0.960968 0.276660i \(-0.0892276\pi\)
\(572\) −0.0717719 0.186972i −0.00300093 0.00781770i
\(573\) −30.3562 15.4672i −1.26815 0.646153i
\(574\) 24.9979 + 30.5304i 1.04339 + 1.27431i
\(575\) −20.5603 18.0870i −0.857424 0.754281i
\(576\) 10.3739 + 17.9681i 0.432245 + 0.748670i
\(577\) 18.8463 + 29.0208i 0.784582 + 1.20815i 0.974065 + 0.226267i \(0.0726522\pi\)
−0.189483 + 0.981884i \(0.560681\pi\)
\(578\) −50.2964 + 62.1109i −2.09205 + 2.58347i
\(579\) 34.9489 + 15.5602i 1.45242 + 0.646661i
\(580\) −0.178305 0.494427i −0.00740373 0.0205300i
\(581\) 10.3883 20.6640i 0.430979 0.857286i
\(582\) 27.1814 27.1814i 1.12670 1.12670i
\(583\) −0.0566095 + 0.0458415i −0.00234453 + 0.00189856i
\(584\) 10.3514 + 11.4963i 0.428342 + 0.475722i
\(585\) −14.9931 + 4.53550i −0.619890 + 0.187520i
\(586\) 12.6287 + 11.3709i 0.521687 + 0.469729i
\(587\) −17.8813 + 9.11097i −0.738039 + 0.376050i −0.782244 0.622973i \(-0.785925\pi\)
0.0442042 + 0.999023i \(0.485925\pi\)
\(588\) 15.6048 60.8662i 0.643531 2.51008i
\(589\) 27.2320 8.84822i 1.12208 0.364584i
\(590\) 12.5468 5.28212i 0.516542 0.217462i
\(591\) −26.5815 + 23.9341i −1.09342 + 0.984518i
\(592\) 10.3423 26.9426i 0.425066 1.10734i
\(593\) 17.9557 + 4.81121i 0.737352 + 0.197573i 0.607901 0.794013i \(-0.292012\pi\)
0.129451 + 0.991586i \(0.458678\pi\)
\(594\) 0.0540215 + 0.0392489i 0.00221653 + 0.00161040i
\(595\) 41.0000 8.07436i 1.68084 0.331016i
\(596\) −57.4394 + 41.7321i −2.35281 + 1.70942i
\(597\) −4.24539 + 1.62965i −0.173752 + 0.0666972i
\(598\) −34.2022 + 22.2111i −1.39863 + 0.908281i
\(599\) −30.6038 17.6691i −1.25044 0.721941i −0.279241 0.960221i \(-0.590083\pi\)
−0.971196 + 0.238280i \(0.923416\pi\)
\(600\) −51.2169 + 14.3595i −2.09092 + 0.586223i
\(601\) 0.819532i 0.0334294i −0.999860 0.0167147i \(-0.994679\pi\)
0.999860 0.0167147i \(-0.00532070\pi\)
\(602\) −6.17729 28.3075i −0.251767 1.15373i
\(603\) 0.718101 + 0.113736i 0.0292433 + 0.00463169i
\(604\) −30.0131 + 67.4105i −1.22122 + 2.74290i
\(605\) 17.0336 + 17.7433i 0.692514 + 0.721369i
\(606\) −54.1179 + 24.0948i −2.19839 + 0.978786i
\(607\) 3.58282 13.3713i 0.145422 0.542724i −0.854314 0.519757i \(-0.826022\pi\)
0.999736 0.0229662i \(-0.00731101\pi\)
\(608\) −2.84839 + 0.451141i −0.115518 + 0.0182962i
\(609\) 0.285846 + 0.228923i 0.0115831 + 0.00927642i
\(610\) −63.5156 + 34.9625i −2.57167 + 1.41559i
\(611\) 9.43873 10.4828i 0.381850 0.424087i
\(612\) −3.29927 + 62.9538i −0.133365 + 2.54476i
\(613\) −2.00609 + 38.2785i −0.0810253 + 1.54605i 0.591697 + 0.806160i \(0.298458\pi\)
−0.672723 + 0.739895i \(0.734875\pi\)
\(614\) −10.9559 + 12.1678i −0.442144 + 0.491051i
\(615\) 5.92936 + 30.9921i 0.239095 + 1.24972i
\(616\) 0.159951 + 0.128098i 0.00644460 + 0.00516122i
\(617\) −16.5933 + 2.62812i −0.668022 + 0.105804i −0.481229 0.876595i \(-0.659809\pi\)
−0.186793 + 0.982399i \(0.559809\pi\)
\(618\) 0.316371 1.18071i 0.0127263 0.0474952i
\(619\) −5.67928 + 2.52858i −0.228269 + 0.101632i −0.517685 0.855572i \(-0.673206\pi\)
0.289415 + 0.957204i \(0.406539\pi\)
\(620\) 10.7250 + 77.9819i 0.430725 + 3.13183i
\(621\) 3.65706 8.21390i 0.146753 0.329612i
\(622\) −6.30933 0.999300i −0.252981 0.0400683i
\(623\) −4.72154 21.6365i −0.189165 0.866850i
\(624\) 24.2004i 0.968790i
\(625\) 0.577384 + 24.9933i 0.0230954 + 0.999733i
\(626\) −9.15199 5.28391i −0.365787 0.211187i
\(627\) 0.102498 0.0665632i 0.00409339 0.00265828i
\(628\) 59.2587 22.7473i 2.36468 0.907716i
\(629\) −48.0125 + 34.8832i −1.91439 + 1.39088i
\(630\) 22.3520 24.0881i 0.890524 0.959695i
\(631\) −16.6120 12.0693i −0.661312 0.480471i 0.205794 0.978595i \(-0.434022\pi\)
−0.867106 + 0.498124i \(0.834022\pi\)
\(632\) −23.9457 6.41622i −0.952508 0.255224i
\(633\) 7.53080 19.6184i 0.299323 0.779762i
\(634\) −37.4696 + 33.7378i −1.48811 + 1.33990i
\(635\) −10.6526 12.3277i −0.422734 0.489209i
\(636\) 37.1507 12.0710i 1.47312 0.478646i
\(637\) −15.0033 + 15.3317i −0.594452 + 0.607465i
\(638\) −0.00218182 + 0.00111169i −8.63790e−5 + 4.40123e-5i
\(639\) −13.3458 12.0166i −0.527950 0.475368i
\(640\) 0.923356 45.2439i 0.0364989 1.78842i
\(641\) 6.22319 + 6.91155i 0.245801 + 0.272990i 0.853403 0.521252i \(-0.174535\pi\)
−0.607602 + 0.794242i \(0.707868\pi\)
\(642\) 21.2532 17.2105i 0.838796 0.679244i
\(643\) 10.6811 10.6811i 0.421223 0.421223i −0.464402 0.885625i \(-0.653731\pi\)
0.885625 + 0.464402i \(0.153731\pi\)
\(644\) 25.4105 50.5455i 1.00131 1.99177i
\(645\) 6.45211 22.2530i 0.254052 0.876212i
\(646\) −49.7923 22.1690i −1.95905 0.872226i
\(647\) 9.53557 11.7754i 0.374882 0.462940i −0.554433 0.832228i \(-0.687065\pi\)
0.929315 + 0.369288i \(0.120398\pi\)
\(648\) −26.7947 41.2603i −1.05260 1.62086i
\(649\) −0.0209698 0.0363207i −0.000823135 0.00142571i
\(650\) 36.0717 + 9.22025i 1.41485 + 0.361648i
\(651\) −34.7461 42.4361i −1.36181 1.66320i
\(652\) −32.5852 16.6030i −1.27614 0.650223i
\(653\) −12.9236 33.6671i −0.505740 1.31750i −0.914401 0.404811i \(-0.867337\pi\)
0.408661 0.912686i \(-0.365996\pi\)
\(654\) 4.50617 + 42.8734i 0.176205 + 1.67648i
\(655\) 23.3202 + 12.4880i 0.911197 + 0.487948i
\(656\) 20.9667 + 2.20369i 0.818612 + 0.0860396i
\(657\) −5.40409 5.40409i −0.210833 0.210833i
\(658\) −5.99580 + 28.9785i −0.233741 + 1.12970i
\(659\) 30.6779 + 9.96786i 1.19504 + 0.388293i 0.837935 0.545771i \(-0.183763\pi\)
0.357107 + 0.934063i \(0.383763\pi\)
\(660\) 0.130365 + 0.309658i 0.00507443 + 0.0120534i
\(661\) 3.78793 17.8208i 0.147333 0.693149i −0.841024 0.540998i \(-0.818047\pi\)
0.988357 0.152151i \(-0.0486199\pi\)
\(662\) −38.5620 2.02095i −1.49875 0.0785464i
\(663\) 27.1044 41.7371i 1.05265 1.62093i
\(664\) −12.4994 38.4692i −0.485071 1.49290i
\(665\) 8.27745 + 16.8658i 0.320986 + 0.654028i
\(666\) −14.4216 + 44.3852i −0.558827 + 1.71989i
\(667\) 0.207501 + 0.256242i 0.00803447 + 0.00992174i
\(668\) −7.63675 28.5007i −0.295475 1.10273i
\(669\) −6.95549 15.6223i −0.268915 0.603992i
\(670\) −1.32052 1.11471i −0.0510161 0.0430649i
\(671\) 0.131290 + 0.180705i 0.00506839 + 0.00697604i
\(672\) 2.78786 + 4.76890i 0.107544 + 0.183964i
\(673\) −8.71675 + 17.1076i −0.336006 + 0.659449i −0.995756 0.0920367i \(-0.970662\pi\)
0.659750 + 0.751485i \(0.270662\pi\)
\(674\) 53.8205 31.0733i 2.07309 1.19690i
\(675\) −7.77700 + 2.62657i −0.299337 + 0.101097i
\(676\) −7.04519 + 12.2026i −0.270969 + 0.469332i
\(677\) 35.4419 1.85743i 1.36214 0.0713870i 0.642797 0.766037i \(-0.277774\pi\)
0.719348 + 0.694650i \(0.244441\pi\)
\(678\) −3.49909 + 22.0924i −0.134382 + 0.848453i
\(679\) 12.8030 12.9424i 0.491335 0.496683i
\(680\) 41.0457 60.4669i 1.57403 2.31880i
\(681\) −2.81598 + 26.7923i −0.107909 + 1.02668i
\(682\) 0.354236 0.0949172i 0.0135644 0.00363457i
\(683\) 8.91129 + 3.42072i 0.340981 + 0.130890i 0.522832 0.852436i \(-0.324876\pi\)
−0.181851 + 0.983326i \(0.558209\pi\)
\(684\) −27.7233 + 5.89278i −1.06003 + 0.225316i
\(685\) −6.66673 3.13274i −0.254723 0.119696i
\(686\) 10.9399 43.6519i 0.417688 1.66664i
\(687\) −28.1201 55.1888i −1.07285 2.10558i
\(688\) −12.9827 8.43109i −0.494962 0.321432i
\(689\) −13.0443 2.77265i −0.496948 0.105629i
\(690\) 56.1579 39.0756i 2.13789 1.48758i
\(691\) 10.4781 + 49.2956i 0.398606 + 1.87529i 0.477855 + 0.878439i \(0.341415\pi\)
−0.0792486 + 0.996855i \(0.525252\pi\)
\(692\) 14.2938 + 90.2473i 0.543367 + 3.43069i
\(693\) −0.0822238 0.0590617i −0.00312342 0.00224357i
\(694\) −21.6421 + 29.7878i −0.821524 + 1.13073i
\(695\) −0.739180 + 10.1405i −0.0280387 + 0.384649i
\(696\) 0.636964 0.0669476i 0.0241441 0.00253764i
\(697\) −33.6920 27.2832i −1.27618 1.03343i
\(698\) 0.189391 + 3.61379i 0.00716855 + 0.136784i
\(699\) 50.2276 1.89978
\(700\) −49.6549 + 14.2119i −1.87678 + 0.537160i
\(701\) 41.2864 1.55936 0.779682 0.626176i \(-0.215381\pi\)
0.779682 + 0.626176i \(0.215381\pi\)
\(702\) 0.639790 + 12.2079i 0.0241473 + 0.460758i
\(703\) −20.7359 16.7916i −0.782070 0.633307i
\(704\) −0.151095 + 0.0158807i −0.00569460 + 0.000598526i
\(705\) −15.2645 + 18.0828i −0.574895 + 0.681039i
\(706\) 13.4251 18.4781i 0.505261 0.695431i
\(707\) −25.5677 + 11.5497i −0.961571 + 0.434371i
\(708\) 3.51827 + 22.2135i 0.132225 + 0.834834i
\(709\) 0.400572 + 1.88454i 0.0150438 + 0.0707755i 0.985029 0.172388i \(-0.0551482\pi\)
−0.969985 + 0.243163i \(0.921815\pi\)
\(710\) 12.3593 + 40.8564i 0.463835 + 1.53331i
\(711\) 11.9795 + 2.54632i 0.449266 + 0.0954945i
\(712\) −32.4822 21.0942i −1.21732 0.790538i
\(713\) −22.4185 43.9987i −0.839578 1.64777i
\(714\) −4.89950 + 104.286i −0.183359 + 3.90282i
\(715\) 0.0143147 0.113805i 0.000535338 0.00425606i
\(716\) 52.0344 11.0603i 1.94462 0.413341i
\(717\) 9.15952 + 3.51601i 0.342069 + 0.131308i
\(718\) 14.4190 3.86356i 0.538112 0.144187i
\(719\) 5.06873 48.2257i 0.189032 1.79852i −0.330230 0.943900i \(-0.607126\pi\)
0.519262 0.854615i \(-0.326207\pi\)
\(720\) −0.560930 17.5482i −0.0209046 0.653981i
\(721\) 0.146802 0.559980i 0.00546719 0.0208547i
\(722\) −3.38876 + 21.3958i −0.126117 + 0.796270i
\(723\) 0.377040 0.0197598i 0.0140223 0.000734876i
\(724\) −11.2262 + 19.4443i −0.417217 + 0.722641i
\(725\) 0.0436533 0.297839i 0.00162124 0.0110614i
\(726\) −53.2178 + 30.7253i −1.97510 + 1.14032i
\(727\) 3.31875 6.51342i 0.123086 0.241569i −0.821239 0.570584i \(-0.806717\pi\)
0.944325 + 0.329015i \(0.106717\pi\)
\(728\) 0.203080 + 37.5157i 0.00752665 + 1.39042i
\(729\) 7.63022 + 10.5021i 0.282601 + 0.388967i
\(730\) 4.34251 + 17.6386i 0.160724 + 0.652832i
\(731\) 12.9478 + 29.0813i 0.478893 + 1.07561i
\(732\) −31.0015 115.699i −1.14585 4.27636i
\(733\) −6.48565 8.00911i −0.239553 0.295823i 0.643164 0.765729i \(-0.277621\pi\)
−0.882717 + 0.469905i \(0.844288\pi\)
\(734\) −27.0939 + 83.3864i −1.00005 + 3.07785i
\(735\) 24.3350 26.5116i 0.897610 0.977894i
\(736\) 1.53691 + 4.73012i 0.0566512 + 0.174354i
\(737\) −0.00289960 + 0.00446499i −0.000106808 + 0.000164470i
\(738\) −34.0458 1.78427i −1.25324 0.0656797i
\(739\) 4.57499 21.5236i 0.168294 0.791759i −0.810309 0.586002i \(-0.800701\pi\)
0.978603 0.205757i \(-0.0659657\pi\)
\(740\) 55.5010 47.9594i 2.04026 1.76302i
\(741\) 21.2794 + 6.91411i 0.781720 + 0.253996i
\(742\) 26.5599 8.78907i 0.975045 0.322657i
\(743\) −32.3075 32.3075i −1.18525 1.18525i −0.978366 0.206883i \(-0.933668\pi\)
−0.206883 0.978366i \(-0.566332\pi\)
\(744\) −95.3951 10.0264i −3.49735 0.367587i
\(745\) −40.2835 + 5.54025i −1.47587 + 0.202979i
\(746\) −4.72168 44.9238i −0.172873 1.64478i
\(747\) 7.16123 + 18.6556i 0.262016 + 0.682574i
\(748\) −0.411303 0.209569i −0.0150387 0.00766262i
\(749\) 10.0211 8.20512i 0.366162 0.299809i
\(750\) −60.9773 13.5267i −2.22658 0.493924i
\(751\) −11.0388 19.1197i −0.402810 0.697687i 0.591254 0.806485i \(-0.298633\pi\)
−0.994064 + 0.108798i \(0.965300\pi\)
\(752\) 8.61110 + 13.2599i 0.314014 + 0.483540i
\(753\) −0.191429 + 0.236395i −0.00697605 + 0.00861471i
\(754\) −0.409540 0.182339i −0.0149146 0.00664040i
\(755\) −33.3790 + 25.9202i −1.21479 + 0.943332i
\(756\) −9.31310 14.1724i −0.338714 0.515444i
\(757\) 2.36580 2.36580i 0.0859865 0.0859865i −0.662805 0.748792i \(-0.730634\pi\)
0.748792 + 0.662805i \(0.230634\pi\)
\(758\) 42.0339 34.0384i 1.52674 1.23633i
\(759\) −0.141033 0.156633i −0.00511919 0.00568543i
\(760\) 31.0356 + 10.7890i 1.12578 + 0.391359i
\(761\) 27.8157 + 25.0454i 1.00832 + 0.907895i 0.995757 0.0920256i \(-0.0293342\pi\)
0.0125634 + 0.999921i \(0.496001\pi\)
\(762\) 36.2686 18.4798i 1.31387 0.669451i
\(763\) 2.24397 + 20.2927i 0.0812371 + 0.734643i
\(764\) −55.0239 + 17.8784i −1.99070 + 0.646816i
\(765\) −18.6865 + 30.8926i −0.675612 + 1.11692i
\(766\) 27.7996 25.0309i 1.00444 0.904403i
\(767\) 2.75157 7.16810i 0.0993536 0.258825i
\(768\) 68.8951 + 18.4604i 2.48604 + 0.666132i
\(769\) 31.5396 + 22.9148i 1.13735 + 0.826330i 0.986747 0.162264i \(-0.0518798\pi\)
0.150599 + 0.988595i \(0.451880\pi\)
\(770\) 0.0945655 + 0.221267i 0.00340790 + 0.00797390i
\(771\) 17.0932 12.4189i 0.615596 0.447257i