Properties

Label 225.2.q.a.16.11
Level $225$
Weight $2$
Character 225.16
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 16.11
Character \(\chi\) \(=\) 225.16
Dual form 225.2.q.a.211.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.973390 + 0.433381i) q^{2} +(-1.71069 - 0.271186i) q^{3} +(-0.578592 + 0.642592i) q^{4} +(-2.03848 - 0.919011i) q^{5} +(1.78270 - 0.477410i) q^{6} +(-0.798426 + 1.38291i) q^{7} +(0.943229 - 2.90296i) q^{8} +(2.85292 + 0.927831i) q^{9} +O(q^{10})\) \(q+(-0.973390 + 0.433381i) q^{2} +(-1.71069 - 0.271186i) q^{3} +(-0.578592 + 0.642592i) q^{4} +(-2.03848 - 0.919011i) q^{5} +(1.78270 - 0.477410i) q^{6} +(-0.798426 + 1.38291i) q^{7} +(0.943229 - 2.90296i) q^{8} +(2.85292 + 0.927831i) q^{9} +(2.38252 + 0.0111154i) q^{10} +(4.35427 - 1.93865i) q^{11} +(1.16405 - 0.942368i) q^{12} +(0.904123 + 0.402542i) q^{13} +(0.177851 - 1.69214i) q^{14} +(3.23799 + 2.12495i) q^{15} +(0.159189 + 1.51458i) q^{16} +(0.0927524 - 0.285463i) q^{17} +(-3.17910 + 0.333258i) q^{18} +(0.468623 - 1.44227i) q^{19} +(1.77000 - 0.778180i) q^{20} +(1.74089 - 2.14922i) q^{21} +(-3.39823 + 3.77412i) q^{22} +(0.597633 - 5.68610i) q^{23} +(-2.40082 + 4.71027i) q^{24} +(3.31084 + 3.74678i) q^{25} -1.05452 q^{26} +(-4.62884 - 2.36090i) q^{27} +(-0.426686 - 1.31321i) q^{28} +(5.78936 + 1.23057i) q^{29} +(-4.07274 - 0.665123i) q^{30} +(2.67051 - 0.567634i) q^{31} +(2.24101 + 3.88154i) q^{32} +(-7.97454 + 2.13560i) q^{33} +(0.0334298 + 0.318064i) q^{34} +(2.89849 - 2.08529i) q^{35} +(-2.24689 + 1.29642i) q^{36} +(1.92560 - 1.39903i) q^{37} +(0.168901 + 1.60699i) q^{38} +(-1.43751 - 0.933810i) q^{39} +(-4.59061 + 5.05080i) q^{40} +(-10.2958 - 4.58400i) q^{41} +(-0.763133 + 2.84649i) q^{42} +(3.80449 - 6.58957i) q^{43} +(-1.27359 + 3.91970i) q^{44} +(-4.96294 - 4.51323i) q^{45} +(1.88252 + 5.79380i) q^{46} +(-5.69960 - 1.21149i) q^{47} +(0.138411 - 2.63415i) q^{48} +(2.22503 + 3.85387i) q^{49} +(-4.84652 - 2.21222i) q^{50} +(-0.236084 + 0.463185i) q^{51} +(-0.781789 + 0.348075i) q^{52} +(0.598625 + 1.84238i) q^{53} +(5.52884 + 0.292028i) q^{54} +(-10.6578 - 0.0497227i) q^{55} +(3.26145 + 3.62220i) q^{56} +(-1.19279 + 2.34020i) q^{57} +(-6.16861 + 1.31118i) q^{58} +(5.31370 + 2.36581i) q^{59} +(-3.23895 + 0.851225i) q^{60} +(12.1540 - 5.41129i) q^{61} +(-2.35344 + 1.70988i) q^{62} +(-3.56095 + 3.20453i) q^{63} +(-6.32771 - 4.59735i) q^{64} +(-1.47310 - 1.65147i) q^{65} +(6.83681 - 5.53479i) q^{66} +(1.02420 - 0.217699i) q^{67} +(0.129770 + 0.224768i) q^{68} +(-2.56436 + 9.56508i) q^{69} +(-1.91764 + 3.28595i) q^{70} +(-5.09100 - 15.6685i) q^{71} +(5.38441 - 7.40674i) q^{72} +(7.42742 + 5.39634i) q^{73} +(-1.26805 + 2.19633i) q^{74} +(-4.64774 - 7.30743i) q^{75} +(0.655651 + 1.13562i) q^{76} +(-0.795582 + 7.56945i) q^{77} +(1.80395 + 0.285971i) q^{78} +(-10.9470 - 2.32686i) q^{79} +(1.06741 - 3.23374i) q^{80} +(7.27826 + 5.29405i) q^{81} +12.0085 q^{82} +(3.98246 + 4.42297i) q^{83} +(0.373804 + 2.36220i) q^{84} +(-0.451418 + 0.496671i) q^{85} +(-0.847457 + 8.06302i) q^{86} +(-9.57009 - 3.67511i) q^{87} +(-1.52074 - 14.4689i) q^{88} +(1.01962 + 0.740795i) q^{89} +(6.78682 + 2.24229i) q^{90} +(-1.27856 + 0.928926i) q^{91} +(3.30805 + 3.67397i) q^{92} +(-4.72234 + 0.246840i) q^{93} +(6.07297 - 1.29085i) q^{94} +(-2.28075 + 2.50938i) q^{95} +(-2.78105 - 7.24785i) q^{96} +(1.87620 + 0.398799i) q^{97} +(-3.83602 - 2.78703i) q^{98} +(14.2211 - 1.49077i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.973390 + 0.433381i −0.688291 + 0.306447i −0.720918 0.693021i \(-0.756279\pi\)
0.0326268 + 0.999468i \(0.489613\pi\)
\(3\) −1.71069 0.271186i −0.987667 0.156570i
\(4\) −0.578592 + 0.642592i −0.289296 + 0.321296i
\(5\) −2.03848 0.919011i −0.911638 0.410994i
\(6\) 1.78270 0.477410i 0.727782 0.194902i
\(7\) −0.798426 + 1.38291i −0.301777 + 0.522693i −0.976538 0.215343i \(-0.930913\pi\)
0.674762 + 0.738036i \(0.264246\pi\)
\(8\) 0.943229 2.90296i 0.333482 1.02635i
\(9\) 2.85292 + 0.927831i 0.950972 + 0.309277i
\(10\) 2.38252 + 0.0111154i 0.753420 + 0.00351501i
\(11\) 4.35427 1.93865i 1.31286 0.584524i 0.373557 0.927607i \(-0.378138\pi\)
0.939305 + 0.343083i \(0.111471\pi\)
\(12\) 1.16405 0.942368i 0.336033 0.272038i
\(13\) 0.904123 + 0.402542i 0.250759 + 0.111645i 0.528267 0.849078i \(-0.322842\pi\)
−0.277508 + 0.960723i \(0.589509\pi\)
\(14\) 0.177851 1.69214i 0.0475327 0.452243i
\(15\) 3.23799 + 2.12495i 0.836045 + 0.548660i
\(16\) 0.159189 + 1.51458i 0.0397972 + 0.378645i
\(17\) 0.0927524 0.285463i 0.0224958 0.0692348i −0.939178 0.343430i \(-0.888411\pi\)
0.961674 + 0.274195i \(0.0884113\pi\)
\(18\) −3.17910 + 0.333258i −0.749322 + 0.0785497i
\(19\) 0.468623 1.44227i 0.107510 0.330880i −0.882802 0.469746i \(-0.844346\pi\)
0.990311 + 0.138866i \(0.0443456\pi\)
\(20\) 1.77000 0.778180i 0.395784 0.174006i
\(21\) 1.74089 2.14922i 0.379893 0.468997i
\(22\) −3.39823 + 3.77412i −0.724506 + 0.804645i
\(23\) 0.597633 5.68610i 0.124615 1.18563i −0.736217 0.676745i \(-0.763390\pi\)
0.860832 0.508889i \(-0.169944\pi\)
\(24\) −2.40082 + 4.71027i −0.490064 + 0.961480i
\(25\) 3.31084 + 3.74678i 0.662167 + 0.749356i
\(26\) −1.05452 −0.206808
\(27\) −4.62884 2.36090i −0.890820 0.454356i
\(28\) −0.426686 1.31321i −0.0806361 0.248173i
\(29\) 5.78936 + 1.23057i 1.07506 + 0.228511i 0.711233 0.702957i \(-0.248137\pi\)
0.363825 + 0.931467i \(0.381471\pi\)
\(30\) −4.07274 0.665123i −0.743578 0.121434i
\(31\) 2.67051 0.567634i 0.479637 0.101950i 0.0382528 0.999268i \(-0.487821\pi\)
0.441385 + 0.897318i \(0.354487\pi\)
\(32\) 2.24101 + 3.88154i 0.396158 + 0.686166i
\(33\) −7.97454 + 2.13560i −1.38819 + 0.371761i
\(34\) 0.0334298 + 0.318064i 0.00573317 + 0.0545475i
\(35\) 2.89849 2.08529i 0.489935 0.352478i
\(36\) −2.24689 + 1.29642i −0.374482 + 0.216071i
\(37\) 1.92560 1.39903i 0.316567 0.230000i −0.418142 0.908382i \(-0.637319\pi\)
0.734709 + 0.678382i \(0.237319\pi\)
\(38\) 0.168901 + 1.60699i 0.0273994 + 0.260688i
\(39\) −1.43751 0.933810i −0.230186 0.149529i
\(40\) −4.59061 + 5.05080i −0.725839 + 0.798602i
\(41\) −10.2958 4.58400i −1.60794 0.715901i −0.610822 0.791768i \(-0.709161\pi\)
−0.997118 + 0.0758673i \(0.975827\pi\)
\(42\) −0.763133 + 2.84649i −0.117754 + 0.439223i
\(43\) 3.80449 6.58957i 0.580179 1.00490i −0.415278 0.909694i \(-0.636316\pi\)
0.995458 0.0952056i \(-0.0303508\pi\)
\(44\) −1.27359 + 3.91970i −0.192001 + 0.590918i
\(45\) −4.96294 4.51323i −0.739831 0.672793i
\(46\) 1.88252 + 5.79380i 0.277562 + 0.854249i
\(47\) −5.69960 1.21149i −0.831372 0.176714i −0.227483 0.973782i \(-0.573050\pi\)
−0.603889 + 0.797069i \(0.706383\pi\)
\(48\) 0.138411 2.63415i 0.0199779 0.380206i
\(49\) 2.22503 + 3.85387i 0.317862 + 0.550552i
\(50\) −4.84652 2.21222i −0.685401 0.312856i
\(51\) −0.236084 + 0.463185i −0.0330584 + 0.0648588i
\(52\) −0.781789 + 0.348075i −0.108415 + 0.0482693i
\(53\) 0.598625 + 1.84238i 0.0822275 + 0.253070i 0.983715 0.179735i \(-0.0575239\pi\)
−0.901488 + 0.432805i \(0.857524\pi\)
\(54\) 5.52884 + 0.292028i 0.752379 + 0.0397400i
\(55\) −10.6578 0.0497227i −1.43709 0.00670461i
\(56\) 3.26145 + 3.62220i 0.435829 + 0.484037i
\(57\) −1.19279 + 2.34020i −0.157989 + 0.309967i
\(58\) −6.16861 + 1.31118i −0.809979 + 0.172166i
\(59\) 5.31370 + 2.36581i 0.691784 + 0.308002i 0.722347 0.691531i \(-0.243063\pi\)
−0.0305627 + 0.999533i \(0.509730\pi\)
\(60\) −3.23895 + 0.851225i −0.418147 + 0.109893i
\(61\) 12.1540 5.41129i 1.55616 0.692845i 0.564944 0.825129i \(-0.308898\pi\)
0.991212 + 0.132284i \(0.0422311\pi\)
\(62\) −2.35344 + 1.70988i −0.298888 + 0.217155i
\(63\) −3.56095 + 3.20453i −0.448638 + 0.403733i
\(64\) −6.32771 4.59735i −0.790963 0.574668i
\(65\) −1.47310 1.65147i −0.182716 0.204840i
\(66\) 6.83681 5.53479i 0.841553 0.681286i
\(67\) 1.02420 0.217699i 0.125125 0.0265962i −0.144923 0.989443i \(-0.546294\pi\)
0.270049 + 0.962847i \(0.412960\pi\)
\(68\) 0.129770 + 0.224768i 0.0157369 + 0.0272572i
\(69\) −2.56436 + 9.56508i −0.308712 + 1.15150i
\(70\) −1.91764 + 3.28595i −0.229202 + 0.392746i
\(71\) −5.09100 15.6685i −0.604191 1.85951i −0.502260 0.864716i \(-0.667498\pi\)
−0.101930 0.994792i \(-0.532502\pi\)
\(72\) 5.38441 7.40674i 0.634559 0.872893i
\(73\) 7.42742 + 5.39634i 0.869314 + 0.631594i 0.930403 0.366539i \(-0.119457\pi\)
−0.0610888 + 0.998132i \(0.519457\pi\)
\(74\) −1.26805 + 2.19633i −0.147408 + 0.255318i
\(75\) −4.64774 7.30743i −0.536675 0.843789i
\(76\) 0.655651 + 1.13562i 0.0752084 + 0.130265i
\(77\) −0.795582 + 7.56945i −0.0906649 + 0.862619i
\(78\) 1.80395 + 0.285971i 0.204258 + 0.0323799i
\(79\) −10.9470 2.32686i −1.23164 0.261792i −0.454284 0.890857i \(-0.650105\pi\)
−0.777353 + 0.629065i \(0.783438\pi\)
\(80\) 1.06741 3.23374i 0.119340 0.361544i
\(81\) 7.27826 + 5.29405i 0.808695 + 0.588228i
\(82\) 12.0085 1.32612
\(83\) 3.98246 + 4.42297i 0.437132 + 0.485485i 0.920948 0.389685i \(-0.127416\pi\)
−0.483816 + 0.875170i \(0.660750\pi\)
\(84\) 0.373804 + 2.36220i 0.0407854 + 0.257737i
\(85\) −0.451418 + 0.496671i −0.0489631 + 0.0538715i
\(86\) −0.847457 + 8.06302i −0.0913837 + 0.869457i
\(87\) −9.57009 3.67511i −1.02602 0.394014i
\(88\) −1.52074 14.4689i −0.162111 1.54239i
\(89\) 1.01962 + 0.740795i 0.108079 + 0.0785241i 0.640512 0.767948i \(-0.278722\pi\)
−0.532433 + 0.846472i \(0.678722\pi\)
\(90\) 6.78682 + 2.24229i 0.715394 + 0.236358i
\(91\) −1.27856 + 0.928926i −0.134029 + 0.0973779i
\(92\) 3.30805 + 3.67397i 0.344889 + 0.383038i
\(93\) −4.72234 + 0.246840i −0.489684 + 0.0255961i
\(94\) 6.07297 1.29085i 0.626379 0.133141i
\(95\) −2.28075 + 2.50938i −0.234000 + 0.257457i
\(96\) −2.78105 7.24785i −0.283840 0.739730i
\(97\) 1.87620 + 0.398799i 0.190499 + 0.0404919i 0.302173 0.953253i \(-0.402288\pi\)
−0.111674 + 0.993745i \(0.535621\pi\)
\(98\) −3.83602 2.78703i −0.387496 0.281533i
\(99\) 14.2211 1.49077i 1.42928 0.149828i
\(100\) −4.32327 0.0403405i −0.432327 0.00403405i
\(101\) −2.94567 + 5.10205i −0.293105 + 0.507673i −0.974542 0.224204i \(-0.928022\pi\)
0.681437 + 0.731877i \(0.261355\pi\)
\(102\) 0.0290665 0.553174i 0.00287801 0.0547724i
\(103\) 8.59006 9.54023i 0.846404 0.940027i −0.152430 0.988314i \(-0.548710\pi\)
0.998833 + 0.0482876i \(0.0153764\pi\)
\(104\) 2.02136 2.24495i 0.198210 0.220135i
\(105\) −5.52392 + 2.78125i −0.539080 + 0.271422i
\(106\) −1.38115 1.53392i −0.134149 0.148988i
\(107\) 19.9558 1.92920 0.964600 0.263716i \(-0.0849480\pi\)
0.964600 + 0.263716i \(0.0849480\pi\)
\(108\) 4.19531 1.60845i 0.403693 0.154773i
\(109\) 6.54028 4.75180i 0.626446 0.455139i −0.228721 0.973492i \(-0.573454\pi\)
0.855167 + 0.518353i \(0.173454\pi\)
\(110\) 10.3957 4.57047i 0.991191 0.435777i
\(111\) −3.67351 + 1.87111i −0.348674 + 0.177598i
\(112\) −2.22164 0.989136i −0.209925 0.0934646i
\(113\) 11.9044 + 5.30018i 1.11987 + 0.498599i 0.881315 0.472530i \(-0.156659\pi\)
0.238557 + 0.971129i \(0.423326\pi\)
\(114\) 0.146856 2.79486i 0.0137543 0.261763i
\(115\) −6.44386 + 11.0418i −0.600893 + 1.02965i
\(116\) −4.14043 + 3.00820i −0.384429 + 0.279304i
\(117\) 2.20590 + 1.98729i 0.203935 + 0.183725i
\(118\) −6.19760 −0.570535
\(119\) 0.320714 + 0.356189i 0.0293998 + 0.0326518i
\(120\) 9.22282 7.39544i 0.841924 0.675108i
\(121\) 7.84090 8.70820i 0.712809 0.791654i
\(122\) −9.48540 + 10.5346i −0.858767 + 0.953758i
\(123\) 16.3699 + 10.6339i 1.47602 + 0.958826i
\(124\) −1.18038 + 2.04447i −0.106001 + 0.183599i
\(125\) −3.30576 10.6804i −0.295676 0.955288i
\(126\) 2.07741 4.66251i 0.185071 0.415370i
\(127\) −8.64345 6.27983i −0.766982 0.557245i 0.134062 0.990973i \(-0.457198\pi\)
−0.901044 + 0.433728i \(0.857198\pi\)
\(128\) −0.616423 0.131025i −0.0544846 0.0115811i
\(129\) −8.29530 + 10.2410i −0.730361 + 0.901668i
\(130\) 2.14962 + 0.969114i 0.188534 + 0.0849970i
\(131\) −17.3455 + 3.68690i −1.51548 + 0.322126i −0.889218 0.457484i \(-0.848751\pi\)
−0.626266 + 0.779610i \(0.715417\pi\)
\(132\) 3.24169 6.36002i 0.282153 0.553568i
\(133\) 1.62038 + 1.79961i 0.140505 + 0.156046i
\(134\) −0.902595 + 0.655773i −0.0779723 + 0.0566502i
\(135\) 7.26612 + 9.06662i 0.625368 + 0.780330i
\(136\) −0.741200 0.538513i −0.0635574 0.0461771i
\(137\) 1.79963 + 17.1223i 0.153753 + 1.46286i 0.750734 + 0.660605i \(0.229700\pi\)
−0.596981 + 0.802255i \(0.703633\pi\)
\(138\) −1.64921 10.4219i −0.140390 0.887171i
\(139\) 0.899749 8.56054i 0.0763157 0.726095i −0.887731 0.460363i \(-0.847719\pi\)
0.964047 0.265733i \(-0.0856139\pi\)
\(140\) −0.337057 + 3.06908i −0.0284865 + 0.259384i
\(141\) 9.42170 + 3.61813i 0.793450 + 0.304702i
\(142\) 11.7460 + 13.0452i 0.985699 + 1.09473i
\(143\) 4.71719 0.394471
\(144\) −0.951122 + 4.46867i −0.0792602 + 0.372389i
\(145\) −10.6706 7.82898i −0.886147 0.650161i
\(146\) −9.56845 2.03384i −0.791891 0.168322i
\(147\) −2.76122 7.19617i −0.227742 0.593530i
\(148\) −0.215132 + 2.04685i −0.0176838 + 0.168250i
\(149\) −4.79551 8.30607i −0.392863 0.680460i 0.599962 0.800028i \(-0.295182\pi\)
−0.992826 + 0.119569i \(0.961849\pi\)
\(150\) 7.69097 + 5.09874i 0.627965 + 0.416310i
\(151\) −7.37063 + 12.7663i −0.599814 + 1.03891i 0.393034 + 0.919524i \(0.371425\pi\)
−0.992848 + 0.119384i \(0.961908\pi\)
\(152\) −3.74484 2.72079i −0.303747 0.220685i
\(153\) 0.529476 0.728342i 0.0428056 0.0588830i
\(154\) −2.50605 7.71282i −0.201943 0.621517i
\(155\) −5.96545 1.29711i −0.479157 0.104187i
\(156\) 1.43179 0.383437i 0.114635 0.0306995i
\(157\) −6.76957 11.7252i −0.540270 0.935775i −0.998888 0.0471419i \(-0.984989\pi\)
0.458618 0.888634i \(-0.348345\pi\)
\(158\) 11.6641 2.47929i 0.927950 0.197242i
\(159\) −0.524434 3.31408i −0.0415903 0.262823i
\(160\) −1.00108 9.97198i −0.0791425 0.788354i
\(161\) 7.38623 + 5.36641i 0.582116 + 0.422932i
\(162\) −9.37893 1.99891i −0.736878 0.157050i
\(163\) 2.23732 1.62551i 0.175240 0.127320i −0.496708 0.867918i \(-0.665458\pi\)
0.671948 + 0.740598i \(0.265458\pi\)
\(164\) 8.90273 3.96375i 0.695187 0.309517i
\(165\) 18.2186 + 2.97530i 1.41832 + 0.231627i
\(166\) −5.79333 2.57935i −0.449649 0.200197i
\(167\) −2.90321 + 0.617096i −0.224657 + 0.0477524i −0.318865 0.947800i \(-0.603302\pi\)
0.0942076 + 0.995553i \(0.469968\pi\)
\(168\) −4.59703 7.08093i −0.354669 0.546305i
\(169\) −8.04330 8.93299i −0.618715 0.687153i
\(170\) 0.224158 0.679090i 0.0171921 0.0520838i
\(171\) 2.67513 3.67988i 0.204572 0.281408i
\(172\) 2.03315 + 6.25741i 0.155027 + 0.477123i
\(173\) −11.4424 + 5.09449i −0.869951 + 0.387327i −0.792647 0.609680i \(-0.791298\pi\)
−0.0773039 + 0.997008i \(0.524631\pi\)
\(174\) 10.9082 0.570176i 0.826945 0.0432250i
\(175\) −7.82494 + 1.58708i −0.591510 + 0.119972i
\(176\) 3.62939 + 6.28628i 0.273575 + 0.473846i
\(177\) −8.44851 5.48817i −0.635029 0.412516i
\(178\) −1.31353 0.279200i −0.0984533 0.0209269i
\(179\) −3.60018 11.0802i −0.269090 0.828174i −0.990723 0.135898i \(-0.956608\pi\)
0.721633 0.692276i \(-0.243392\pi\)
\(180\) 5.77168 0.577822i 0.430196 0.0430683i
\(181\) −6.84051 + 21.0529i −0.508451 + 1.56485i 0.286440 + 0.958098i \(0.407528\pi\)
−0.794891 + 0.606752i \(0.792472\pi\)
\(182\) 0.841955 1.45831i 0.0624099 0.108097i
\(183\) −22.2591 + 5.96105i −1.64544 + 0.440654i
\(184\) −15.9428 7.09820i −1.17532 0.523286i
\(185\) −5.21104 + 1.08226i −0.383123 + 0.0795691i
\(186\) 4.48971 2.28685i 0.329201 0.167680i
\(187\) −0.149542 1.42280i −0.0109356 0.104045i
\(188\) 4.07623 2.96156i 0.297290 0.215994i
\(189\) 6.96071 4.51628i 0.506317 0.328511i
\(190\) 1.13254 3.43104i 0.0821629 0.248914i
\(191\) −1.19373 11.3576i −0.0863753 0.821806i −0.948855 0.315714i \(-0.897756\pi\)
0.862479 0.506092i \(-0.168911\pi\)
\(192\) 9.57800 + 9.58062i 0.691233 + 0.691422i
\(193\) 8.87230 + 15.3673i 0.638642 + 1.10616i 0.985731 + 0.168328i \(0.0538369\pi\)
−0.347089 + 0.937832i \(0.612830\pi\)
\(194\) −1.99911 + 0.424923i −0.143527 + 0.0305077i
\(195\) 2.07216 + 3.22464i 0.148391 + 0.230922i
\(196\) −3.76385 0.800031i −0.268846 0.0571450i
\(197\) −2.97775 9.16457i −0.212156 0.652948i −0.999343 0.0362347i \(-0.988464\pi\)
0.787187 0.616714i \(-0.211536\pi\)
\(198\) −13.1966 + 7.61426i −0.937843 + 0.541122i
\(199\) 3.11193 0.220599 0.110299 0.993898i \(-0.464819\pi\)
0.110299 + 0.993898i \(0.464819\pi\)
\(200\) 13.9996 6.07716i 0.989923 0.429720i
\(201\) −1.81112 + 0.0946683i −0.127746 + 0.00667738i
\(202\) 0.656153 6.24288i 0.0461668 0.439248i
\(203\) −6.32415 + 7.02368i −0.443868 + 0.492966i
\(204\) −0.161042 0.419701i −0.0112752 0.0293849i
\(205\) 16.7752 + 18.8064i 1.17163 + 1.31350i
\(206\) −4.22692 + 13.0091i −0.294504 + 0.906389i
\(207\) 6.98074 15.6675i 0.485195 1.08896i
\(208\) −0.465755 + 1.43345i −0.0322943 + 0.0993917i
\(209\) −0.755547 7.18855i −0.0522623 0.497242i
\(210\) 4.17159 5.10120i 0.287867 0.352016i
\(211\) −0.896864 + 8.53309i −0.0617427 + 0.587442i 0.919287 + 0.393587i \(0.128766\pi\)
−0.981030 + 0.193856i \(0.937901\pi\)
\(212\) −1.53026 0.681315i −0.105099 0.0467929i
\(213\) 4.46004 + 28.1845i 0.305597 + 1.93117i
\(214\) −19.4248 + 8.64847i −1.32785 + 0.591197i
\(215\) −13.8113 + 9.93637i −0.941921 + 0.677655i
\(216\) −11.2197 + 11.2105i −0.763401 + 0.762775i
\(217\) −1.34721 + 4.14630i −0.0914549 + 0.281469i
\(218\) −4.30691 + 7.45979i −0.291701 + 0.505241i
\(219\) −11.2426 11.2457i −0.759704 0.759912i
\(220\) 6.19844 6.81981i 0.417899 0.459792i
\(221\) 0.198770 0.220757i 0.0133707 0.0148497i
\(222\) 2.76485 3.41335i 0.185565 0.229089i
\(223\) −10.8831 + 4.84546i −0.728785 + 0.324476i −0.737372 0.675487i \(-0.763933\pi\)
0.00858684 + 0.999963i \(0.497267\pi\)
\(224\) −7.15712 −0.478205
\(225\) 5.96916 + 13.7611i 0.397944 + 0.917410i
\(226\) −13.8846 −0.923591
\(227\) −20.2359 + 9.00961i −1.34310 + 0.597989i −0.947300 0.320347i \(-0.896201\pi\)
−0.395804 + 0.918335i \(0.629534\pi\)
\(228\) −0.813651 2.12050i −0.0538853 0.140433i
\(229\) −10.1750 + 11.3005i −0.672386 + 0.746760i −0.978728 0.205161i \(-0.934228\pi\)
0.306343 + 0.951921i \(0.400895\pi\)
\(230\) 1.48708 13.5406i 0.0980550 0.892842i
\(231\) 3.41373 12.7332i 0.224607 0.837785i
\(232\) 9.03298 15.6456i 0.593044 1.02718i
\(233\) −4.57150 + 14.0696i −0.299489 + 0.921732i 0.682188 + 0.731177i \(0.261029\pi\)
−0.981677 + 0.190555i \(0.938971\pi\)
\(234\) −3.00845 0.978416i −0.196669 0.0639610i
\(235\) 10.5052 + 7.70759i 0.685282 + 0.502788i
\(236\) −4.59471 + 2.04570i −0.299090 + 0.133164i
\(237\) 18.0959 + 6.94922i 1.17546 + 0.451401i
\(238\) −0.466546 0.207720i −0.0302417 0.0134645i
\(239\) 0.530735 5.04960i 0.0343304 0.326632i −0.963856 0.266425i \(-0.914157\pi\)
0.998186 0.0602064i \(-0.0191759\pi\)
\(240\) −2.70296 + 5.24246i −0.174475 + 0.338400i
\(241\) −1.40061 13.3259i −0.0902211 0.858397i −0.942252 0.334905i \(-0.891296\pi\)
0.852031 0.523492i \(-0.175371\pi\)
\(242\) −3.85828 + 11.8746i −0.248020 + 0.763326i
\(243\) −11.0152 11.0302i −0.706623 0.707590i
\(244\) −3.55494 + 10.9410i −0.227581 + 0.700424i
\(245\) −0.993945 9.90088i −0.0635008 0.632544i
\(246\) −20.5428 3.25654i −1.30976 0.207629i
\(247\) 1.00427 1.11535i 0.0639001 0.0709682i
\(248\) 0.871082 8.28779i 0.0553137 0.526275i
\(249\) −5.61331 8.64632i −0.355729 0.547939i
\(250\) 7.84650 + 8.96359i 0.496256 + 0.566907i
\(251\) 25.6881 1.62142 0.810709 0.585450i \(-0.199082\pi\)
0.810709 + 0.585450i \(0.199082\pi\)
\(252\) 0.00113289 4.14236i 7.13654e−5 0.260944i
\(253\) −8.42108 25.9174i −0.529429 1.62941i
\(254\) 11.1350 + 2.36682i 0.698673 + 0.148507i
\(255\) 0.906926 0.727231i 0.0567939 0.0455409i
\(256\) 15.9579 3.39196i 0.997370 0.211997i
\(257\) −9.78552 16.9490i −0.610404 1.05725i −0.991172 0.132580i \(-0.957674\pi\)
0.380768 0.924670i \(-0.375660\pi\)
\(258\) 3.63632 13.5635i 0.226387 0.844426i
\(259\) 0.397291 + 3.77997i 0.0246865 + 0.234876i
\(260\) 1.91355 + 0.00892748i 0.118673 + 0.000553659i
\(261\) 15.3748 + 8.88225i 0.951677 + 0.549798i
\(262\) 15.2861 11.1060i 0.944379 0.686131i
\(263\) 0.779304 + 7.41458i 0.0480540 + 0.457203i 0.991919 + 0.126872i \(0.0404937\pi\)
−0.943865 + 0.330331i \(0.892840\pi\)
\(264\) −1.32225 + 25.1641i −0.0813787 + 1.54875i
\(265\) 0.472879 4.30581i 0.0290487 0.264504i
\(266\) −2.35718 1.04948i −0.144528 0.0643481i
\(267\) −1.54335 1.54378i −0.0944517 0.0944776i
\(268\) −0.452699 + 0.784098i −0.0276530 + 0.0478964i
\(269\) −1.24097 + 3.81931i −0.0756631 + 0.232867i −0.981734 0.190259i \(-0.939067\pi\)
0.906071 + 0.423126i \(0.139067\pi\)
\(270\) −11.0021 5.67636i −0.669565 0.345452i
\(271\) 7.44164 + 22.9030i 0.452047 + 1.39126i 0.874567 + 0.484905i \(0.161146\pi\)
−0.422519 + 0.906354i \(0.638854\pi\)
\(272\) 0.447121 + 0.0950385i 0.0271107 + 0.00576256i
\(273\) 2.43913 1.24238i 0.147623 0.0751920i
\(274\) −9.17224 15.8868i −0.554115 0.959756i
\(275\) 21.6800 + 9.89595i 1.30735 + 0.596748i
\(276\) −4.66272 7.18212i −0.280663 0.432313i
\(277\) 16.8715 7.51166i 1.01371 0.451332i 0.168461 0.985708i \(-0.446120\pi\)
0.845246 + 0.534377i \(0.179454\pi\)
\(278\) 2.83417 + 8.72268i 0.169982 + 0.523152i
\(279\) 8.14540 + 0.858369i 0.487653 + 0.0513892i
\(280\) −3.31956 10.3811i −0.198382 0.620390i
\(281\) −4.37061 4.85406i −0.260729 0.289569i 0.598540 0.801093i \(-0.295748\pi\)
−0.859269 + 0.511524i \(0.829081\pi\)
\(282\) −10.7390 + 0.561336i −0.639499 + 0.0334271i
\(283\) 24.3288 5.17125i 1.44620 0.307399i 0.583085 0.812411i \(-0.301845\pi\)
0.863112 + 0.505013i \(0.168512\pi\)
\(284\) 13.0141 + 5.79423i 0.772242 + 0.343824i
\(285\) 4.58216 3.67427i 0.271424 0.217645i
\(286\) −4.59166 + 2.04434i −0.271511 + 0.120884i
\(287\) 14.5598 10.5783i 0.859435 0.624416i
\(288\) 2.79200 + 13.1530i 0.164520 + 0.775048i
\(289\) 13.6804 + 9.93939i 0.804730 + 0.584670i
\(290\) 13.7796 + 2.99620i 0.809167 + 0.175943i
\(291\) −3.10145 1.19102i −0.181810 0.0698188i
\(292\) −7.76509 + 1.65052i −0.454417 + 0.0965894i
\(293\) 3.51196 + 6.08289i 0.205171 + 0.355366i 0.950187 0.311680i \(-0.100892\pi\)
−0.745016 + 0.667046i \(0.767558\pi\)
\(294\) 5.80643 + 5.80802i 0.338638 + 0.338730i
\(295\) −8.65768 9.70601i −0.504070 0.565106i
\(296\) −2.24505 6.90956i −0.130491 0.401610i
\(297\) −24.7322 1.30633i −1.43511 0.0758011i
\(298\) 8.26760 + 6.00676i 0.478929 + 0.347962i
\(299\) 2.82923 4.90036i 0.163618 0.283395i
\(300\) 7.38484 + 1.24142i 0.426364 + 0.0716736i
\(301\) 6.07521 + 10.5226i 0.350169 + 0.606511i
\(302\) 1.64182 15.6209i 0.0944763 0.898882i
\(303\) 6.42273 7.92920i 0.368976 0.455520i
\(304\) 2.25904 + 0.480173i 0.129565 + 0.0275398i
\(305\) −29.7487 0.138790i −1.70341 0.00794708i
\(306\) −0.199737 + 0.938426i −0.0114182 + 0.0536462i
\(307\) 20.8173 1.18810 0.594052 0.804427i \(-0.297527\pi\)
0.594052 + 0.804427i \(0.297527\pi\)
\(308\) −4.40375 4.89086i −0.250927 0.278683i
\(309\) −17.2821 + 13.9909i −0.983145 + 0.795912i
\(310\) 6.36886 1.32272i 0.361727 0.0751253i
\(311\) 0.714248 6.79561i 0.0405013 0.385344i −0.955429 0.295220i \(-0.904607\pi\)
0.995931 0.0901238i \(-0.0287263\pi\)
\(312\) −4.06671 + 3.29224i −0.230232 + 0.186386i
\(313\) −3.31544 31.5443i −0.187400 1.78299i −0.534507 0.845164i \(-0.679503\pi\)
0.347108 0.937825i \(-0.387164\pi\)
\(314\) 11.6709 + 8.47942i 0.658628 + 0.478522i
\(315\) 10.2040 3.25984i 0.574928 0.183671i
\(316\) 7.82908 5.68816i 0.440420 0.319984i
\(317\) 5.22722 + 5.80542i 0.293590 + 0.326065i 0.871836 0.489797i \(-0.162929\pi\)
−0.578246 + 0.815862i \(0.696263\pi\)
\(318\) 1.94674 + 2.99861i 0.109168 + 0.168154i
\(319\) 27.5941 5.86531i 1.54497 0.328394i
\(320\) 8.67392 + 15.1869i 0.484887 + 0.848971i
\(321\) −34.1382 5.41174i −1.90541 0.302054i
\(322\) −9.51538 2.02256i −0.530271 0.112713i
\(323\) −0.368249 0.267549i −0.0204899 0.0148868i
\(324\) −7.61305 + 1.61385i −0.422947 + 0.0896585i
\(325\) 1.48517 + 4.72030i 0.0823825 + 0.261835i
\(326\) −1.47332 + 2.55186i −0.0815996 + 0.141335i
\(327\) −12.4770 + 6.35521i −0.689981 + 0.351444i
\(328\) −23.0185 + 25.5646i −1.27098 + 1.41157i
\(329\) 6.22609 6.91477i 0.343256 0.381224i
\(330\) −19.0233 + 4.99948i −1.04720 + 0.275212i
\(331\) −14.3709 15.9605i −0.789894 0.877266i 0.204941 0.978774i \(-0.434300\pi\)
−0.994835 + 0.101508i \(0.967633\pi\)
\(332\) −5.14639 −0.282445
\(333\) 6.79166 2.20469i 0.372180 0.120816i
\(334\) 2.55852 1.85887i 0.139996 0.101713i
\(335\) −2.28787 0.497470i −0.125000 0.0271797i
\(336\) 3.53229 + 2.29458i 0.192702 + 0.125180i
\(337\) −15.6867 6.98418i −0.854511 0.380453i −0.0677437 0.997703i \(-0.521580\pi\)
−0.786767 + 0.617250i \(0.788247\pi\)
\(338\) 11.7007 + 5.20947i 0.636432 + 0.283358i
\(339\) −18.9274 12.2953i −1.02799 0.667788i
\(340\) −0.0579697 0.577447i −0.00314385 0.0313164i
\(341\) 10.5277 7.64880i 0.570106 0.414206i
\(342\) −1.00915 + 4.74131i −0.0545687 + 0.256381i
\(343\) −18.2841 −0.987246
\(344\) −15.5408 17.2598i −0.837901 0.930584i
\(345\) 14.0178 17.1416i 0.754694 0.922873i
\(346\) 8.93008 9.91786i 0.480084 0.533188i
\(347\) 12.4606 13.8389i 0.668920 0.742911i −0.309190 0.951000i \(-0.600058\pi\)
0.978110 + 0.208089i \(0.0667244\pi\)
\(348\) 7.89877 4.02327i 0.423419 0.215670i
\(349\) −8.55166 + 14.8119i −0.457760 + 0.792863i −0.998842 0.0481065i \(-0.984681\pi\)
0.541083 + 0.840969i \(0.318015\pi\)
\(350\) 6.92891 4.93603i 0.370366 0.263842i
\(351\) −3.23468 3.99785i −0.172654 0.213389i
\(352\) 17.2829 + 12.5568i 0.921182 + 0.669278i
\(353\) 19.6474 + 4.17618i 1.04573 + 0.222276i 0.698577 0.715535i \(-0.253817\pi\)
0.347148 + 0.937810i \(0.387150\pi\)
\(354\) 10.6022 + 1.68070i 0.563499 + 0.0893284i
\(355\) −4.02159 + 36.6187i −0.213444 + 1.94352i
\(356\) −1.06597 + 0.226579i −0.0564963 + 0.0120087i
\(357\) −0.452049 0.696303i −0.0239250 0.0368523i
\(358\) 8.30633 + 9.22512i 0.439003 + 0.487563i
\(359\) −3.71885 + 2.70190i −0.196273 + 0.142601i −0.681581 0.731742i \(-0.738707\pi\)
0.485308 + 0.874343i \(0.338707\pi\)
\(360\) −17.7829 + 10.1502i −0.937242 + 0.534963i
\(361\) 13.5108 + 9.81615i 0.711094 + 0.516640i
\(362\) −2.46546 23.4572i −0.129581 1.23289i
\(363\) −15.7749 + 12.7707i −0.827967 + 0.670287i
\(364\) 0.142843 1.35906i 0.00748700 0.0712340i
\(365\) −10.1814 17.8262i −0.532918 0.933068i
\(366\) 19.0834 15.4491i 0.997506 0.807538i
\(367\) 11.7878 + 13.0917i 0.615318 + 0.683380i 0.967592 0.252517i \(-0.0812583\pi\)
−0.352275 + 0.935897i \(0.614592\pi\)
\(368\) 8.70719 0.453894
\(369\) −25.1200 22.6306i −1.30769 1.17810i
\(370\) 4.60335 3.31183i 0.239317 0.172174i
\(371\) −3.02581 0.643156i −0.157092 0.0333910i
\(372\) 2.57369 3.17736i 0.133440 0.164738i
\(373\) −1.05604 + 10.0475i −0.0546795 + 0.520240i 0.932562 + 0.361010i \(0.117568\pi\)
−0.987241 + 0.159230i \(0.949099\pi\)
\(374\) 0.762176 + 1.32013i 0.0394112 + 0.0682621i
\(375\) 2.75873 + 19.1674i 0.142460 + 0.989800i
\(376\) −8.89292 + 15.4030i −0.458618 + 0.794349i
\(377\) 4.73894 + 3.44304i 0.244068 + 0.177326i
\(378\) −4.81822 + 7.41275i −0.247822 + 0.381270i
\(379\) 6.82808 + 21.0147i 0.350735 + 1.07945i 0.958442 + 0.285289i \(0.0920896\pi\)
−0.607707 + 0.794162i \(0.707910\pi\)
\(380\) −0.292886 2.91750i −0.0150248 0.149664i
\(381\) 13.0832 + 13.0868i 0.670275 + 0.670458i
\(382\) 6.08413 + 10.5380i 0.311291 + 0.539172i
\(383\) −7.60202 + 1.61586i −0.388445 + 0.0825666i −0.397994 0.917388i \(-0.630294\pi\)
0.00954918 + 0.999954i \(0.496960\pi\)
\(384\) 1.01898 + 0.391308i 0.0519994 + 0.0199689i
\(385\) 8.57819 14.6991i 0.437185 0.749134i
\(386\) −15.2961 11.1133i −0.778551 0.565650i
\(387\) 16.9679 15.2696i 0.862527 0.776196i
\(388\) −1.34182 + 0.974889i −0.0681205 + 0.0494925i
\(389\) −11.4424 + 5.09450i −0.580154 + 0.258301i −0.675764 0.737118i \(-0.736186\pi\)
0.0956104 + 0.995419i \(0.469520\pi\)
\(390\) −3.41452 2.24080i −0.172901 0.113467i
\(391\) −1.56774 0.698001i −0.0792839 0.0352995i
\(392\) 13.2863 2.82410i 0.671061 0.142638i
\(393\) 30.6726 1.60328i 1.54723 0.0808746i
\(394\) 6.87026 + 7.63020i 0.346119 + 0.384404i
\(395\) 20.1769 + 14.8037i 1.01521 + 0.744855i
\(396\) −7.27027 + 10.0009i −0.365345 + 0.502565i
\(397\) −8.80399 27.0959i −0.441859 1.35990i −0.885891 0.463893i \(-0.846452\pi\)
0.444032 0.896011i \(-0.353548\pi\)
\(398\) −3.02912 + 1.34865i −0.151836 + 0.0676019i
\(399\) −2.28394 3.51801i −0.114340 0.176121i
\(400\) −5.14775 + 5.61097i −0.257387 + 0.280549i
\(401\) 4.38488 + 7.59484i 0.218971 + 0.379268i 0.954494 0.298232i \(-0.0963968\pi\)
−0.735523 + 0.677500i \(0.763063\pi\)
\(402\) 1.72190 0.877053i 0.0858804 0.0437434i
\(403\) 2.64297 + 0.561780i 0.131655 + 0.0279842i
\(404\) −1.57419 4.84487i −0.0783190 0.241041i
\(405\) −9.97133 17.4806i −0.495479 0.868620i
\(406\) 3.11193 9.57755i 0.154443 0.475326i
\(407\) 5.67237 9.82484i 0.281169 0.486999i
\(408\) 1.12193 + 1.12223i 0.0555436 + 0.0555588i
\(409\) −10.5929 4.71627i −0.523786 0.233205i 0.127772 0.991804i \(-0.459218\pi\)
−0.651558 + 0.758599i \(0.725884\pi\)
\(410\) −24.4791 11.0359i −1.20894 0.545026i
\(411\) 1.56474 29.7790i 0.0771828 1.46889i
\(412\) 1.16033 + 11.0398i 0.0571654 + 0.543892i
\(413\) −7.51431 + 5.45947i −0.369755 + 0.268643i
\(414\) −0.00499826 + 18.2759i −0.000245651 + 0.898210i
\(415\) −4.05343 12.6761i −0.198975 0.622245i
\(416\) 0.463667 + 4.41149i 0.0227331 + 0.216291i
\(417\) −3.86069 + 14.4004i −0.189059 + 0.705192i
\(418\) 3.85082 + 6.66982i 0.188350 + 0.326232i
\(419\) 28.0034 5.95230i 1.36806 0.290789i 0.535408 0.844593i \(-0.320158\pi\)
0.832647 + 0.553804i \(0.186824\pi\)
\(420\) 1.40889 5.15883i 0.0687469 0.251725i
\(421\) 13.6168 + 2.89433i 0.663640 + 0.141061i 0.527403 0.849615i \(-0.323166\pi\)
0.136237 + 0.990676i \(0.456499\pi\)
\(422\) −2.82508 8.69471i −0.137523 0.423252i
\(423\) −15.1364 8.74453i −0.735958 0.425174i
\(424\) 5.91300 0.287160
\(425\) 1.37665 0.597597i 0.0667775 0.0289877i
\(426\) −16.5560 25.5016i −0.802141 1.23556i
\(427\) −2.22069 + 21.1284i −0.107467 + 1.02248i
\(428\) −11.5463 + 12.8234i −0.558110 + 0.619844i
\(429\) −8.06964 1.27924i −0.389606 0.0617621i
\(430\) 9.13753 15.6575i 0.440651 0.755072i
\(431\) −3.32930 + 10.2465i −0.160367 + 0.493559i −0.998665 0.0516534i \(-0.983551\pi\)
0.838298 + 0.545212i \(0.183551\pi\)
\(432\) 2.83892 7.38657i 0.136587 0.355387i
\(433\) −3.22740 + 9.93293i −0.155099 + 0.477346i −0.998171 0.0604550i \(-0.980745\pi\)
0.843072 + 0.537801i \(0.180745\pi\)
\(434\) −0.485563 4.61982i −0.0233078 0.221759i
\(435\) 16.1310 + 16.2867i 0.773422 + 0.780886i
\(436\) −0.730693 + 6.95208i −0.0349939 + 0.332944i
\(437\) −7.92085 3.52659i −0.378906 0.168700i
\(438\) 15.8171 + 6.07410i 0.755770 + 0.290232i
\(439\) 24.0422 10.7043i 1.14747 0.510887i 0.257219 0.966353i \(-0.417194\pi\)
0.890253 + 0.455466i \(0.150527\pi\)
\(440\) −10.1970 + 30.8921i −0.486125 + 1.47272i
\(441\) 2.77209 + 13.0592i 0.132004 + 0.621867i
\(442\) −0.0978092 + 0.301026i −0.00465231 + 0.0143183i
\(443\) −1.09162 + 1.89074i −0.0518643 + 0.0898316i −0.890792 0.454411i \(-0.849850\pi\)
0.838928 + 0.544243i \(0.183183\pi\)
\(444\) 0.923102 3.44318i 0.0438085 0.163406i
\(445\) −1.39767 2.44714i −0.0662561 0.116005i
\(446\) 8.49355 9.43304i 0.402181 0.446668i
\(447\) 5.95114 + 15.5096i 0.281479 + 0.733578i
\(448\) 11.4099 5.08003i 0.539069 0.240009i
\(449\) −32.5364 −1.53549 −0.767743 0.640758i \(-0.778620\pi\)
−0.767743 + 0.640758i \(0.778620\pi\)
\(450\) −11.7741 10.8080i −0.555039 0.509496i
\(451\) −53.7176 −2.52946
\(452\) −10.2936 + 4.58302i −0.484172 + 0.215567i
\(453\) 16.0709 19.8404i 0.755077 0.932182i
\(454\) 15.7928 17.5397i 0.741195 0.823180i
\(455\) 3.46001 0.718593i 0.162208 0.0336882i
\(456\) 5.66842 + 5.66997i 0.265448 + 0.265521i
\(457\) −10.4827 + 18.1566i −0.490360 + 0.849328i −0.999938 0.0110963i \(-0.996468\pi\)
0.509579 + 0.860424i \(0.329801\pi\)
\(458\) 5.00685 15.4095i 0.233955 0.720038i
\(459\) −1.10329 + 1.10238i −0.0514969 + 0.0514547i
\(460\) −3.36700 10.5295i −0.156987 0.490939i
\(461\) 13.3684 5.95197i 0.622626 0.277211i −0.0710784 0.997471i \(-0.522644\pi\)
0.693705 + 0.720260i \(0.255977\pi\)
\(462\) 2.19546 + 13.8738i 0.102142 + 0.645470i
\(463\) −24.2009 10.7749i −1.12471 0.500753i −0.241814 0.970323i \(-0.577743\pi\)
−0.882896 + 0.469569i \(0.844409\pi\)
\(464\) −0.942191 + 8.96434i −0.0437401 + 0.416159i
\(465\) 9.85327 + 3.83671i 0.456935 + 0.177923i
\(466\) −1.64766 15.6764i −0.0763264 0.726197i
\(467\) −6.73062 + 20.7147i −0.311456 + 0.958562i 0.665733 + 0.746190i \(0.268119\pi\)
−0.977189 + 0.212372i \(0.931881\pi\)
\(468\) −2.55333 + 0.267660i −0.118028 + 0.0123726i
\(469\) −0.516684 + 1.59019i −0.0238583 + 0.0734282i
\(470\) −13.5660 2.94975i −0.625751 0.136062i
\(471\) 8.40090 + 21.8940i 0.387093 + 1.00882i
\(472\) 11.8799 13.1940i 0.546816 0.607301i
\(473\) 3.79094 36.0683i 0.174307 1.65842i
\(474\) −20.6261 + 1.07814i −0.947387 + 0.0495206i
\(475\) 6.95542 3.01931i 0.319136 0.138535i
\(476\) −0.414447 −0.0189962
\(477\) −0.00158940 + 5.81158i −7.27738e−5 + 0.266094i
\(478\) 1.67179 + 5.14524i 0.0764660 + 0.235338i
\(479\) −6.19057 1.31585i −0.282854 0.0601225i 0.0642999 0.997931i \(-0.479519\pi\)
−0.347154 + 0.937808i \(0.612852\pi\)
\(480\) −0.991723 + 17.3304i −0.0452657 + 0.791023i
\(481\) 2.30415 0.489763i 0.105060 0.0223313i
\(482\) 7.13853 + 12.3643i 0.325151 + 0.563178i
\(483\) −11.1802 11.1833i −0.508719 0.508858i
\(484\) 1.05913 + 10.0770i 0.0481425 + 0.458045i
\(485\) −3.45810 2.53719i −0.157024 0.115208i
\(486\) 15.5024 + 5.96296i 0.703201 + 0.270485i
\(487\) −18.7250 + 13.6045i −0.848512 + 0.616480i −0.924735 0.380611i \(-0.875714\pi\)
0.0762233 + 0.997091i \(0.475714\pi\)
\(488\) −4.24480 40.3866i −0.192153 1.82821i
\(489\) −4.26817 + 2.17401i −0.193013 + 0.0983120i
\(490\) 5.25835 + 9.20666i 0.237548 + 0.415914i
\(491\) 9.25616 + 4.12111i 0.417725 + 0.185983i 0.604826 0.796358i \(-0.293243\pi\)
−0.187101 + 0.982341i \(0.559909\pi\)
\(492\) −16.3047 + 4.36645i −0.735074 + 0.196855i
\(493\) 0.888258 1.53851i 0.0400051 0.0692909i
\(494\) −0.494172 + 1.52090i −0.0222338 + 0.0684287i
\(495\) −30.3595 10.0305i −1.36456 0.450835i
\(496\) 1.28484 + 3.95434i 0.0576911 + 0.177555i
\(497\) 25.7330 + 5.46971i 1.15428 + 0.245350i
\(498\) 9.21109 + 5.98355i 0.412759 + 0.268129i
\(499\) 2.03652 + 3.52736i 0.0911674 + 0.157906i 0.908003 0.418965i \(-0.137607\pi\)
−0.816835 + 0.576871i \(0.804274\pi\)
\(500\) 8.77585 + 4.05537i 0.392468 + 0.181362i
\(501\) 5.13384 0.268349i 0.229363 0.0119890i
\(502\) −25.0045 + 11.1327i −1.11601 + 0.496878i
\(503\) 6.77990 + 20.8664i 0.302301 + 0.930386i 0.980671 + 0.195666i \(0.0626867\pi\)
−0.678370 + 0.734721i \(0.737313\pi\)
\(504\) 5.94384 + 13.3599i 0.264760 + 0.595098i
\(505\) 10.6935 7.69334i 0.475856 0.342349i
\(506\) 19.4291 + 21.5782i 0.863730 + 0.959269i
\(507\) 11.3371 + 17.4628i 0.503497 + 0.775550i
\(508\) 9.03640 1.92075i 0.400925 0.0852193i
\(509\) −10.2484 4.56289i −0.454253 0.202247i 0.166839 0.985984i \(-0.446644\pi\)
−0.621092 + 0.783738i \(0.713311\pi\)
\(510\) −0.567624 + 1.10092i −0.0251348 + 0.0487497i
\(511\) −13.3929 + 5.96291i −0.592468 + 0.263784i
\(512\) −13.0436 + 9.47672i −0.576451 + 0.418816i
\(513\) −5.57425 + 5.56968i −0.246109 + 0.245907i
\(514\) 16.8705 + 12.2571i 0.744126 + 0.540639i
\(515\) −26.2783 + 11.5532i −1.15796 + 0.509097i
\(516\) −1.78117 11.2558i −0.0784117 0.495511i
\(517\) −27.1662 + 5.77436i −1.19477 + 0.253956i
\(518\) −2.02489 3.50721i −0.0889685 0.154098i
\(519\) 20.9560 5.61207i 0.919866 0.246342i
\(520\) −6.18364 + 2.71864i −0.271170 + 0.119220i
\(521\) −0.276314 0.850408i −0.0121056 0.0372571i 0.944821 0.327586i \(-0.106235\pi\)
−0.956927 + 0.290329i \(0.906235\pi\)
\(522\) −18.8151 1.98275i −0.823514 0.0867825i
\(523\) −9.65472 7.01456i −0.422171 0.306725i 0.356340 0.934357i \(-0.384025\pi\)
−0.778511 + 0.627631i \(0.784025\pi\)
\(524\) 7.66680 13.2793i 0.334926 0.580108i
\(525\) 13.8164 0.592983i 0.602998 0.0258799i
\(526\) −3.97191 6.87955i −0.173183 0.299962i
\(527\) 0.0856578 0.814980i 0.00373131 0.0355011i
\(528\) −4.50400 11.7381i −0.196011 0.510836i
\(529\) −9.47718 2.01444i −0.412051 0.0875842i
\(530\) 1.40576 + 4.39617i 0.0610623 + 0.190957i
\(531\) 12.9645 + 11.6797i 0.562610 + 0.506855i
\(532\) −2.09396 −0.0907845
\(533\) −7.46346 8.28901i −0.323278 0.359037i
\(534\) 2.17133 + 0.833836i 0.0939626 + 0.0360836i
\(535\) −40.6796 18.3396i −1.75873 0.792890i
\(536\) 0.334078 3.17854i 0.0144300 0.137292i
\(537\) 3.15399 + 19.9311i 0.136105 + 0.860091i
\(538\) −0.447270 4.25549i −0.0192832 0.183467i
\(539\) 17.1597 + 12.4672i 0.739120 + 0.537002i
\(540\) −10.0302 0.576727i −0.431633 0.0248184i
\(541\) 24.7363 17.9720i 1.06350 0.772675i 0.0887638 0.996053i \(-0.471708\pi\)
0.974732 + 0.223378i \(0.0717084\pi\)
\(542\) −17.1694 19.0685i −0.737487 0.819062i
\(543\) 17.4112 34.1599i 0.747188 1.46594i
\(544\) 1.31589 0.279702i 0.0564185 0.0119921i
\(545\) −17.6992 + 3.67587i −0.758151 + 0.157457i
\(546\) −1.83580 + 2.26639i −0.0785649 + 0.0969924i
\(547\) −0.403221 0.0857073i −0.0172405 0.00366458i 0.199283 0.979942i \(-0.436139\pi\)
−0.216524 + 0.976277i \(0.569472\pi\)
\(548\) −12.0439 8.75042i −0.514491 0.373799i
\(549\) 39.6950 4.16114i 1.69414 0.177593i
\(550\) −25.3918 0.236931i −1.08271 0.0101028i
\(551\) 4.48784 7.77317i 0.191189 0.331148i
\(552\) 25.3483 + 16.4663i 1.07889 + 0.700852i
\(553\) 11.9582 13.2810i 0.508516 0.564765i
\(554\) −13.1671 + 14.6235i −0.559416 + 0.621295i
\(555\) 9.20797 0.438241i 0.390856 0.0186023i
\(556\) 4.98034 + 5.53123i 0.211214 + 0.234576i
\(557\) −11.0413 −0.467833 −0.233917 0.972257i \(-0.575154\pi\)
−0.233917 + 0.972257i \(0.575154\pi\)
\(558\) −8.30066 + 2.69454i −0.351395 + 0.114069i
\(559\) 6.09230 4.42632i 0.257677 0.187213i
\(560\) 3.61974 + 4.05805i 0.152962 + 0.171484i
\(561\) −0.130023 + 2.47452i −0.00548958 + 0.104474i
\(562\) 6.35797 + 2.83075i 0.268195 + 0.119408i
\(563\) −28.1794 12.5463i −1.18762 0.528762i −0.284719 0.958611i \(-0.591900\pi\)
−0.902901 + 0.429849i \(0.858567\pi\)
\(564\) −7.77630 + 3.96088i −0.327441 + 0.166783i
\(565\) −19.3960 21.7446i −0.815996 0.914803i
\(566\) −21.4403 + 15.5773i −0.901203 + 0.654762i
\(567\) −13.1324 + 5.83830i −0.551508 + 0.245186i
\(568\) −50.2870 −2.11000
\(569\) 4.77576 + 5.30402i 0.200210 + 0.222356i 0.834886 0.550422i \(-0.185533\pi\)
−0.634676 + 0.772778i \(0.718867\pi\)
\(570\) −2.86787 + 5.56232i −0.120122 + 0.232980i
\(571\) 0.561367 0.623461i 0.0234925 0.0260910i −0.731284 0.682073i \(-0.761079\pi\)
0.754777 + 0.655982i \(0.227745\pi\)
\(572\) −2.72933 + 3.03122i −0.114119 + 0.126742i
\(573\) −1.03792 + 19.7530i −0.0433598 + 0.825194i
\(574\) −9.58789 + 16.6067i −0.400191 + 0.693151i
\(575\) 23.2832 16.5866i 0.970978 0.691707i
\(576\) −13.7868 18.9869i −0.574452 0.791120i
\(577\) −21.7584 15.8084i −0.905813 0.658112i 0.0341394 0.999417i \(-0.489131\pi\)
−0.939952 + 0.341305i \(0.889131\pi\)
\(578\) −17.6239 3.74608i −0.733058 0.155816i
\(579\) −11.0104 28.6947i −0.457575 1.19251i
\(580\) 11.2048 2.32707i 0.465253 0.0966261i
\(581\) −9.29630 + 1.97599i −0.385676 + 0.0819779i
\(582\) 3.53508 0.184781i 0.146534 0.00765942i
\(583\) 6.17830 + 6.86170i 0.255879 + 0.284183i
\(584\) 22.6711 16.4715i 0.938137 0.681597i
\(585\) −2.67034 6.07831i −0.110405 0.251307i
\(586\) −6.05471 4.39901i −0.250118 0.181721i
\(587\) −0.0950816 0.904641i −0.00392444 0.0373385i 0.992384 0.123179i \(-0.0393090\pi\)
−0.996309 + 0.0858408i \(0.972642\pi\)
\(588\) 6.22182 + 2.38931i 0.256583 + 0.0985334i
\(589\) 0.432778 4.11761i 0.0178323 0.169663i
\(590\) 12.6337 + 5.69566i 0.520122 + 0.234487i
\(591\) 2.60870 + 16.4853i 0.107307 + 0.678113i
\(592\) 2.42548 + 2.69377i 0.0996867 + 0.110713i
\(593\) 35.9174 1.47495 0.737476 0.675373i \(-0.236017\pi\)
0.737476 + 0.675373i \(0.236017\pi\)
\(594\) 24.6402 9.44689i 1.01100 0.387611i
\(595\) −0.326429 1.02083i −0.0133823 0.0418498i
\(596\) 8.11205 + 1.72427i 0.332283 + 0.0706289i
\(597\) −5.32355 0.843913i −0.217878 0.0345391i
\(598\) −0.630216 + 5.99610i −0.0257714 + 0.245199i
\(599\) 21.6849 + 37.5593i 0.886020 + 1.53463i 0.844540 + 0.535492i \(0.179874\pi\)
0.0414800 + 0.999139i \(0.486793\pi\)
\(600\) −25.5971 + 6.59962i −1.04500 + 0.269428i
\(601\) −9.27357 + 16.0623i −0.378277 + 0.655195i −0.990812 0.135249i \(-0.956817\pi\)
0.612535 + 0.790444i \(0.290150\pi\)
\(602\) −10.4738 7.60968i −0.426882 0.310148i
\(603\) 3.12393 + 0.329202i 0.127216 + 0.0134061i
\(604\) −3.93893 12.1228i −0.160273 0.493270i
\(605\) −23.9865 + 10.5457i −0.975189 + 0.428742i
\(606\) −2.81546 + 10.5017i −0.114370 + 0.426602i
\(607\) −10.0739 17.4485i −0.408886 0.708212i 0.585879 0.810398i \(-0.300749\pi\)
−0.994765 + 0.102187i \(0.967416\pi\)
\(608\) 6.64844 1.41317i 0.269630 0.0573116i
\(609\) 12.7234 10.3003i 0.515577 0.417390i
\(610\) 29.0172 12.7574i 1.17487 0.516533i
\(611\) −4.66547 3.38966i −0.188745 0.137131i
\(612\) 0.161676 + 0.761650i 0.00653536 + 0.0307879i
\(613\) 6.07494 4.41370i 0.245365 0.178268i −0.458305 0.888795i \(-0.651543\pi\)
0.703670 + 0.710527i \(0.251543\pi\)
\(614\) −20.2633 + 9.02181i −0.817761 + 0.364091i
\(615\) −23.5970 36.7211i −0.951524 1.48074i
\(616\) 21.2234 + 9.44927i 0.855115 + 0.380722i
\(617\) 9.59800 2.04012i 0.386401 0.0821320i −0.0106153 0.999944i \(-0.503379\pi\)
0.397016 + 0.917812i \(0.370046\pi\)
\(618\) 10.7589 21.1083i 0.432785 0.849101i
\(619\) 1.03695 + 1.15165i 0.0416787 + 0.0462889i 0.763624 0.645662i \(-0.223418\pi\)
−0.721945 + 0.691950i \(0.756752\pi\)
\(620\) 4.28508 3.08285i 0.172093 0.123810i
\(621\) −16.1907 + 24.9091i −0.649710 + 0.999567i
\(622\) 2.24985 + 6.92432i 0.0902107 + 0.277640i
\(623\) −1.83854 + 0.818573i −0.0736597 + 0.0327954i
\(624\) 1.18549 2.32588i 0.0474577 0.0931096i
\(625\) −3.07671 + 24.8100i −0.123068 + 0.992398i
\(626\) 16.8979 + 29.2681i 0.675377 + 1.16979i
\(627\) −0.656930 + 12.5023i −0.0262353 + 0.499292i
\(628\) 11.4514 + 2.43406i 0.456959 + 0.0971296i
\(629\) −0.220767 0.679452i −0.00880257 0.0270915i
\(630\) −8.51967 + 7.59530i −0.339432 + 0.302604i
\(631\) 3.50012 10.7722i 0.139337 0.428836i −0.856902 0.515479i \(-0.827614\pi\)
0.996239 + 0.0866429i \(0.0276139\pi\)
\(632\) −17.0803 + 29.5840i −0.679419 + 1.17679i
\(633\) 3.84832 14.3543i 0.152957 0.570530i
\(634\) −7.60409 3.38556i −0.301997 0.134458i
\(635\) 11.8483 + 20.7448i 0.470185 + 0.823231i
\(636\) 2.43303 + 1.58050i 0.0964760 + 0.0626710i
\(637\) 0.460361 + 4.38004i 0.0182402 + 0.173543i
\(638\) −24.3179 + 17.6680i −0.962755 + 0.699483i
\(639\) 0.0135171 49.4245i 0.000534727 1.95520i
\(640\) 1.13616 + 0.833592i 0.0449105 + 0.0329506i
\(641\) 1.91800 + 18.2485i 0.0757564 + 0.720774i 0.964806 + 0.262963i \(0.0846997\pi\)
−0.889050 + 0.457811i \(0.848634\pi\)
\(642\) 35.5751 9.52711i 1.40404 0.376005i
\(643\) 6.43258 + 11.1415i 0.253676 + 0.439380i 0.964535 0.263955i \(-0.0850270\pi\)
−0.710859 + 0.703334i \(0.751694\pi\)
\(644\) −7.72202 + 1.64137i −0.304290 + 0.0646789i
\(645\) 26.3214 13.2526i 1.03640 0.521821i
\(646\) 0.474401 + 0.100837i 0.0186650 + 0.00396738i
\(647\) 5.33164 + 16.4091i 0.209608 + 0.645108i 0.999493 + 0.0318523i \(0.0101406\pi\)
−0.789884 + 0.613256i \(0.789859\pi\)
\(648\) 22.2335 16.1350i 0.873414 0.633842i
\(649\) 27.7238 1.08825
\(650\) −3.49134 3.95105i −0.136942 0.154973i
\(651\) 3.42908 6.72768i 0.134396 0.263679i
\(652\) −0.249958 + 2.37819i −0.00978909 + 0.0931370i
\(653\) −18.9109 + 21.0027i −0.740041 + 0.821899i −0.989201 0.146563i \(-0.953179\pi\)
0.249160 + 0.968462i \(0.419845\pi\)
\(654\) 9.39078 11.5934i 0.367208 0.453338i
\(655\) 38.7468 + 8.42502i 1.51396 + 0.329193i
\(656\) 5.30386 16.3236i 0.207081 0.637329i
\(657\) 16.1829 + 22.2867i 0.631356 + 0.869487i
\(658\) −3.06368 + 9.42904i −0.119435 + 0.367582i
\(659\) 2.21265 + 21.0520i 0.0861928 + 0.820069i 0.949157 + 0.314804i \(0.101939\pi\)
−0.862964 + 0.505266i \(0.831395\pi\)
\(660\) −12.4531 + 9.98565i −0.484734 + 0.388691i
\(661\) 4.60125 43.7780i 0.178968 1.70277i −0.424540 0.905409i \(-0.639564\pi\)
0.603508 0.797357i \(-0.293769\pi\)
\(662\) 20.9054 + 9.30769i 0.812512 + 0.361754i
\(663\) −0.399900 + 0.323742i −0.0155308 + 0.0125731i
\(664\) 16.5961 7.38906i 0.644053 0.286751i
\(665\) −1.64925 5.15763i −0.0639553 0.200004i
\(666\) −5.65546 + 5.08940i −0.219145 + 0.197210i
\(667\) 10.4570 32.1835i 0.404898 1.24615i
\(668\) 1.28323 2.22263i 0.0496498 0.0859960i
\(669\) 19.9316 5.33773i 0.770600 0.206369i
\(670\) 2.44259 0.507289i 0.0943654 0.0195983i
\(671\) 42.4311 47.1245i 1.63803 1.81922i
\(672\) 12.2436 + 1.94091i 0.472308 + 0.0748724i
\(673\) 8.38851 3.73480i 0.323353 0.143966i −0.238640 0.971108i \(-0.576702\pi\)
0.561993 + 0.827142i \(0.310035\pi\)
\(674\) 18.2961 0.704740
\(675\) −6.47955 25.1598i −0.249398 0.968401i
\(676\) 10.3941 0.399771
\(677\) 19.9666 8.88970i 0.767379 0.341659i 0.0145662 0.999894i \(-0.495363\pi\)
0.752813 + 0.658235i \(0.228697\pi\)
\(678\) 23.7523 + 3.76532i 0.912201 + 0.144606i
\(679\) −2.04951 + 2.27621i −0.0786530 + 0.0873530i
\(680\) 1.01602 + 1.77892i 0.0389628 + 0.0682185i
\(681\) 37.0606 9.92493i 1.42017 0.380324i
\(682\) −6.93269 + 12.0078i −0.265466 + 0.459801i
\(683\) −1.01224 + 3.11535i −0.0387322 + 0.119206i −0.968553 0.248807i \(-0.919962\pi\)
0.929821 + 0.368012i \(0.119962\pi\)
\(684\) 0.816853 + 3.84817i 0.0312332 + 0.147138i
\(685\) 12.0671 36.5575i 0.461060 1.39679i
\(686\) 17.7975 7.92397i 0.679513 0.302539i
\(687\) 20.4709 16.5724i 0.781013 0.632275i
\(688\) 10.5861 + 4.71322i 0.403590 + 0.179690i
\(689\) −0.200403 + 1.90671i −0.00763476 + 0.0726399i
\(690\) −6.21596 + 22.7605i −0.236638 + 0.866478i
\(691\) −1.98375 18.8741i −0.0754655 0.718006i −0.965197 0.261523i \(-0.915775\pi\)
0.889732 0.456484i \(-0.150891\pi\)
\(692\) 3.34682 10.3004i 0.127227 0.391564i
\(693\) −9.29290 + 20.8568i −0.353008 + 0.792286i
\(694\) −6.13151 + 18.8708i −0.232749 + 0.716327i
\(695\) −9.70135 + 16.6236i −0.367993 + 0.630571i
\(696\) −19.6955 + 24.3151i −0.746556 + 0.921662i
\(697\) −2.26352 + 2.51390i −0.0857371 + 0.0952207i
\(698\) 1.90490 18.1239i 0.0721014 0.685999i
\(699\) 11.6359 22.8290i 0.440111 0.863474i
\(700\) 3.50760 5.94651i 0.132575 0.224757i
\(701\) 26.6440 1.00633 0.503164 0.864191i \(-0.332169\pi\)
0.503164 + 0.864191i \(0.332169\pi\)
\(702\) 4.88120 + 2.48962i 0.184229 + 0.0939645i
\(703\) −1.11541 3.43287i −0.0420684 0.129473i
\(704\) −36.4652 7.75091i −1.37433 0.292124i
\(705\) −15.8809 16.0342i −0.598109 0.603881i
\(706\) −20.9345 + 4.44976i −0.787879 + 0.167469i
\(707\) −4.70380 8.14722i −0.176905 0.306408i
\(708\) 8.41489 2.25353i 0.316251 0.0846929i
\(709\) 1.72168 + 16.3807i 0.0646592 + 0.615191i 0.978088 + 0.208192i \(0.0667580\pi\)
−0.913429 + 0.406999i \(0.866575\pi\)
\(710\) −11.9553 37.3871i −0.448673 1.40311i
\(711\) −29.0720 16.7953i −1.09029 0.629874i
\(712\) 3.11223 2.26117i 0.116636 0.0847408i
\(713\) −1.63164 15.5240i −0.0611054 0.581379i
\(714\) 0.741785 + 0.481865i 0.0277606 + 0.0180333i
\(715\) −9.61591 4.33515i −0.359615 0.162125i
\(716\) 9.20309 + 4.09748i 0.343935 + 0.153130i
\(717\) −2.27731 + 8.49437i −0.0850475 + 0.317228i
\(718\) 2.44894 4.24168i 0.0913935 0.158298i
\(719\) −8.80843 + 27.1096i −0.328499 + 1.01102i 0.641337 + 0.767259i \(0.278380\pi\)
−0.969836 + 0.243757i \(0.921620\pi\)
\(720\) 6.04561 8.23522i 0.225306 0.306909i
\(721\) 6.33479 + 19.4965i 0.235920 + 0.726087i
\(722\) −17.4054 3.69963i −0.647762 0.137686i
\(723\) −1.21780 + 23.1763i −0.0452903 + 0.861936i
\(724\) −9.57056 16.5767i −0.355687 0.616068i
\(725\) 14.5570 + 25.7657i 0.540632 + 0.956913i
\(726\) 9.82054 19.2674i 0.364475 0.715080i
\(727\) −21.9994 + 9.79479i −0.815914 + 0.363269i −0.771885 0.635762i \(-0.780686\pi\)
−0.0440291 + 0.999030i \(0.514019\pi\)
\(728\) 1.49066 + 4.58779i 0.0552476 + 0.170035i
\(729\) 15.8523 + 21.8565i 0.587121 + 0.809499i
\(730\) 17.6360 + 12.9395i 0.652738 + 0.478911i
\(731\) −1.52820 1.69724i −0.0565225 0.0627746i
\(732\) 9.04843 17.7525i 0.334440 0.656153i
\(733\) −1.98030 + 0.420926i −0.0731441 + 0.0155473i −0.244338 0.969690i \(-0.578571\pi\)
0.171194 + 0.985237i \(0.445237\pi\)
\(734\) −17.1478 7.63470i −0.632937 0.281802i
\(735\) −0.984652 + 17.2069i −0.0363194 + 0.634685i
\(736\) 23.4101 10.4229i 0.862909 0.384192i
\(737\) 4.03758 2.93347i 0.148726 0.108056i
\(738\) 34.2592 + 11.1419i 1.26110 + 0.410137i
\(739\) −32.8526 23.8688i −1.20850 0.878028i −0.213408 0.976963i \(-0.568456\pi\)
−0.995094 + 0.0989355i \(0.968456\pi\)
\(740\) 2.31962 3.97476i 0.0852709 0.146115i
\(741\) −2.02046 + 1.63568i −0.0742234 + 0.0600882i
\(742\) 3.22403 0.685288i 0.118358 0.0251577i
\(743\) 4.58729 + 7.94543i 0.168292 + 0.291489i 0.937819 0.347124i \(-0.112842\pi\)
−0.769528 + 0.638613i \(0.779508\pi\)
\(744\) −3.73769 + 13.9416i −0.137030 + 0.511124i
\(745\) 2.14221 + 21.3389i 0.0784843 + 0.781797i
\(746\) −3.32647 10.2378i −0.121791 0.374833i
\(747\) 7.25786 + 16.3134i 0.265551 + 0.596877i
\(748\) 1.00080 + 0.727124i 0.0365929 + 0.0265863i
\(749\) −15.9332 + 27.5972i −0.582188 + 1.00838i
\(750\) −10.9921 17.4618i −0.401375 0.637614i
\(751\) −7.16746 12.4144i −0.261544 0.453008i 0.705108 0.709100i \(-0.250898\pi\)
−0.966652 + 0.256092i \(0.917565\pi\)
\(752\) 0.927582 8.82535i 0.0338254 0.321827i
\(753\) −43.9443 6.96626i −1.60142 0.253865i
\(754\) −6.10499 1.29766i −0.222331 0.0472578i
\(755\) 26.7573 19.2502i 0.973798 0.700588i
\(756\) −1.12529 + 7.08598i −0.0409264 + 0.257715i
\(757\) −7.98963 −0.290388 −0.145194 0.989403i \(-0.546381\pi\)
−0.145194 + 0.989403i \(0.546381\pi\)
\(758\) −15.7537 17.4963i −0.572202 0.635494i
\(759\) 7.37740 + 46.6204i 0.267783 + 1.69221i
\(760\) 5.13337 + 8.98784i 0.186207 + 0.326023i
\(761\) 0.0356082 0.338790i 0.00129080 0.0122811i −0.993858 0.110667i \(-0.964701\pi\)
0.995148 + 0.0983859i \(0.0313680\pi\)
\(762\) −18.4067 7.06855i −0.666804 0.256067i
\(763\) 1.34939 + 12.8386i 0.0488513 + 0.464789i
\(764\) 7.98897 + 5.80433i 0.289031 + 0.209993i
\(765\) −1.74868 + 0.998120i −0.0632238 + 0.0360871i
\(766\) 6.69945 4.86744i 0.242061 0.175868i
\(767\) 3.85190 + 4.27797i 0.139084 + 0.154469i
\(768\) −28.2189 + 1.47502i −1.01826 + 0.0532252i
\(769\) 1.75737 0.373540i 0.0633723 0.0134702i −0.176116 0.984369i \(-0.556354\pi\)
0.239489 + 0.970899i \(0.423020\pi\)
\(770\) −1.97963 + 18.0256i −0.0713409 + 0.649596i
\(771\)