Properties

Label 225.2.q.a.106.27
Level $225$
Weight $2$
Character 225.106
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 106.27
Character \(\chi\) \(=\) 225.106
Dual form 225.2.q.a.121.27

$q$-expansion

\(f(q)\) \(=\) \(q+(2.43022 + 0.516560i) q^{2} +(0.810393 - 1.53077i) q^{3} +(3.81206 + 1.69724i) q^{4} +(-2.22233 + 0.247525i) q^{5} +(2.76017 - 3.30150i) q^{6} +(-0.644527 + 1.11635i) q^{7} +(4.36740 + 3.17310i) q^{8} +(-1.68652 - 2.48105i) q^{9} +O(q^{10})\) \(q+(2.43022 + 0.516560i) q^{2} +(0.810393 - 1.53077i) q^{3} +(3.81206 + 1.69724i) q^{4} +(-2.22233 + 0.247525i) q^{5} +(2.76017 - 3.30150i) q^{6} +(-0.644527 + 1.11635i) q^{7} +(4.36740 + 3.17310i) q^{8} +(-1.68652 - 2.48105i) q^{9} +(-5.52861 - 0.546422i) q^{10} +(0.502326 + 0.106773i) q^{11} +(5.68735 - 4.45996i) q^{12} +(-4.87743 + 1.03673i) q^{13} +(-2.14301 + 2.38005i) q^{14} +(-1.42205 + 3.60247i) q^{15} +(3.39033 + 3.76535i) q^{16} +(5.60571 + 4.07278i) q^{17} +(-2.81702 - 6.90071i) q^{18} +(-4.21905 - 3.06532i) q^{19} +(-8.89175 - 2.82823i) q^{20} +(1.18656 + 1.89131i) q^{21} +(1.16561 + 0.518963i) q^{22} +(2.78826 - 3.09668i) q^{23} +(8.39660 - 4.11403i) q^{24} +(4.87746 - 1.10016i) q^{25} -12.3888 q^{26} +(-5.16468 + 0.571054i) q^{27} +(-4.35169 + 3.16169i) q^{28} +(0.724325 + 6.89149i) q^{29} +(-5.31680 + 8.02022i) q^{30} +(0.160665 - 1.52862i) q^{31} +(0.895838 + 1.55164i) q^{32} +(0.570526 - 0.682419i) q^{33} +(11.5193 + 12.7935i) q^{34} +(1.15602 - 2.64044i) q^{35} +(-2.21819 - 12.3204i) q^{36} +(2.27325 - 6.99635i) q^{37} +(-8.66982 - 9.62881i) q^{38} +(-2.36564 + 8.30640i) q^{39} +(-10.4912 - 5.97062i) q^{40} +(-3.98547 + 0.847138i) q^{41} +(1.90663 + 5.20923i) q^{42} +(2.08364 - 3.60897i) q^{43} +(1.73368 + 1.25959i) q^{44} +(4.36213 + 5.09625i) q^{45} +(8.37572 - 6.08531i) q^{46} +(0.841878 + 8.00993i) q^{47} +(8.51139 - 2.13841i) q^{48} +(2.66917 + 4.62314i) q^{49} +(12.4216 - 0.154142i) q^{50} +(10.7773 - 5.28050i) q^{51} +(-20.3526 - 4.32609i) q^{52} +(2.21350 - 1.60820i) q^{53} +(-12.8463 - 1.28008i) q^{54} +(-1.14276 - 0.112945i) q^{55} +(-6.35720 + 2.83041i) q^{56} +(-8.11140 + 3.97429i) q^{57} +(-1.79960 + 17.1220i) q^{58} +(2.99263 - 0.636103i) q^{59} +(-11.5352 + 11.3193i) q^{60} +(-7.17717 - 1.52555i) q^{61} +(1.18008 - 3.63190i) q^{62} +(3.85674 - 0.283651i) q^{63} +(-1.75586 - 5.40400i) q^{64} +(10.5826 - 3.51124i) q^{65} +(1.73902 - 1.36372i) q^{66} +(0.0475303 - 0.452221i) q^{67} +(14.4568 + 25.0399i) q^{68} +(-2.48072 - 6.77772i) q^{69} +(4.17334 - 5.81969i) q^{70} +(1.33759 - 0.971819i) q^{71} +(0.506910 - 16.1873i) q^{72} +(-2.72548 - 8.38816i) q^{73} +(9.13854 - 15.8284i) q^{74} +(2.26856 - 8.35785i) q^{75} +(-10.8807 - 18.8459i) q^{76} +(-0.442959 + 0.491955i) q^{77} +(-10.0398 + 18.9644i) q^{78} +(0.359882 + 3.42405i) q^{79} +(-8.46644 - 7.52863i) q^{80} +(-3.31127 + 8.36872i) q^{81} -10.1232 q^{82} +(13.4120 - 5.97142i) q^{83} +(1.31324 + 9.22366i) q^{84} +(-13.4658 - 7.66350i) q^{85} +(6.92795 - 7.69427i) q^{86} +(11.1363 + 4.47604i) q^{87} +(1.85506 + 2.06025i) q^{88} +(-2.98202 - 9.17771i) q^{89} +(7.96843 + 14.6383i) q^{90} +(1.98628 - 6.11314i) q^{91} +(15.8848 - 7.07238i) q^{92} +(-2.20977 - 1.48473i) q^{93} +(-2.09166 + 19.9008i) q^{94} +(10.1349 + 5.76782i) q^{95} +(3.10118 - 0.113887i) q^{96} +(-0.842924 - 8.01989i) q^{97} +(4.09855 + 12.6140i) q^{98} +(-0.582277 - 1.42637i) 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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.43022 + 0.516560i 1.71843 + 0.365263i 0.958577 0.284835i \(-0.0919388\pi\)
0.759851 + 0.650098i \(0.225272\pi\)
\(3\) 0.810393 1.53077i 0.467881 0.883792i
\(4\) 3.81206 + 1.69724i 1.90603 + 0.848619i
\(5\) −2.22233 + 0.247525i −0.993854 + 0.110697i
\(6\) 2.76017 3.30150i 1.12684 1.34783i
\(7\) −0.644527 + 1.11635i −0.243608 + 0.421942i −0.961739 0.273966i \(-0.911664\pi\)
0.718131 + 0.695908i \(0.244998\pi\)
\(8\) 4.36740 + 3.17310i 1.54411 + 1.12186i
\(9\) −1.68652 2.48105i −0.562175 0.827018i
\(10\) −5.52861 0.546422i −1.74830 0.172794i
\(11\) 0.502326 + 0.106773i 0.151457 + 0.0321932i 0.283016 0.959115i \(-0.408665\pi\)
−0.131559 + 0.991308i \(0.541998\pi\)
\(12\) 5.68735 4.45996i 1.64180 1.28748i
\(13\) −4.87743 + 1.03673i −1.35276 + 0.287537i −0.826571 0.562833i \(-0.809712\pi\)
−0.526185 + 0.850370i \(0.676378\pi\)
\(14\) −2.14301 + 2.38005i −0.572743 + 0.636095i
\(15\) −1.42205 + 3.60247i −0.367173 + 0.930153i
\(16\) 3.39033 + 3.76535i 0.847583 + 0.941337i
\(17\) 5.60571 + 4.07278i 1.35958 + 0.987795i 0.998471 + 0.0552732i \(0.0176030\pi\)
0.361113 + 0.932522i \(0.382397\pi\)
\(18\) −2.81702 6.90071i −0.663978 1.62651i
\(19\) −4.21905 3.06532i −0.967917 0.703233i −0.0129412 0.999916i \(-0.504119\pi\)
−0.954976 + 0.296683i \(0.904119\pi\)
\(20\) −8.89175 2.82823i −1.98825 0.632412i
\(21\) 1.18656 + 1.89131i 0.258929 + 0.412717i
\(22\) 1.16561 + 0.518963i 0.248509 + 0.110643i
\(23\) 2.78826 3.09668i 0.581393 0.645702i −0.378655 0.925538i \(-0.623613\pi\)
0.960048 + 0.279836i \(0.0902800\pi\)
\(24\) 8.39660 4.11403i 1.71395 0.839773i
\(25\) 4.87746 1.10016i 0.975492 0.220033i
\(26\) −12.3888 −2.42964
\(27\) −5.16468 + 0.571054i −0.993943 + 0.109899i
\(28\) −4.35169 + 3.16169i −0.822392 + 0.597503i
\(29\) 0.724325 + 6.89149i 0.134504 + 1.27972i 0.828602 + 0.559838i \(0.189137\pi\)
−0.694098 + 0.719880i \(0.744197\pi\)
\(30\) −5.31680 + 8.02022i −0.970710 + 1.46429i
\(31\) 0.160665 1.52862i 0.0288562 0.274548i −0.970574 0.240802i \(-0.922590\pi\)
0.999430 0.0337463i \(-0.0107438\pi\)
\(32\) 0.895838 + 1.55164i 0.158363 + 0.274293i
\(33\) 0.570526 0.682419i 0.0993159 0.118794i
\(34\) 11.5193 + 12.7935i 1.97554 + 2.19406i
\(35\) 1.15602 2.64044i 0.195403 0.446315i
\(36\) −2.21819 12.3204i −0.369699 2.05339i
\(37\) 2.27325 6.99635i 0.373720 1.15019i −0.570618 0.821216i \(-0.693296\pi\)
0.944338 0.328977i \(-0.106704\pi\)
\(38\) −8.66982 9.62881i −1.40643 1.56200i
\(39\) −2.36564 + 8.30640i −0.378806 + 1.33009i
\(40\) −10.4912 5.97062i −1.65880 0.944038i
\(41\) −3.98547 + 0.847138i −0.622426 + 0.132301i −0.508321 0.861168i \(-0.669733\pi\)
−0.114105 + 0.993469i \(0.536400\pi\)
\(42\) 1.90663 + 5.20923i 0.294200 + 0.803802i
\(43\) 2.08364 3.60897i 0.317752 0.550362i −0.662267 0.749268i \(-0.730405\pi\)
0.980019 + 0.198906i \(0.0637387\pi\)
\(44\) 1.73368 + 1.25959i 0.261362 + 0.189890i
\(45\) 4.36213 + 5.09625i 0.650268 + 0.759705i
\(46\) 8.37572 6.08531i 1.23493 0.897231i
\(47\) 0.841878 + 8.00993i 0.122801 + 1.16837i 0.866262 + 0.499590i \(0.166516\pi\)
−0.743461 + 0.668779i \(0.766817\pi\)
\(48\) 8.51139 2.13841i 1.22851 0.308654i
\(49\) 2.66917 + 4.62314i 0.381310 + 0.660448i
\(50\) 12.4216 0.154142i 1.75668 0.0217990i
\(51\) 10.7773 5.28050i 1.50913 0.739418i
\(52\) −20.3526 4.32609i −2.82240 0.599920i
\(53\) 2.21350 1.60820i 0.304047 0.220903i −0.425291 0.905057i \(-0.639828\pi\)
0.729338 + 0.684153i \(0.239828\pi\)
\(54\) −12.8463 1.28008i −1.74816 0.174196i
\(55\) −1.14276 0.112945i −0.154090 0.0152295i
\(56\) −6.35720 + 2.83041i −0.849517 + 0.378229i
\(57\) −8.11140 + 3.97429i −1.07438 + 0.526408i
\(58\) −1.79960 + 17.1220i −0.236299 + 2.24823i
\(59\) 2.99263 0.636103i 0.389607 0.0828136i −0.00894310 0.999960i \(-0.502847\pi\)
0.398550 + 0.917146i \(0.369513\pi\)
\(60\) −11.5352 + 11.3193i −1.48919 + 1.46131i
\(61\) −7.17717 1.52555i −0.918942 0.195327i −0.275925 0.961179i \(-0.588984\pi\)
−0.643017 + 0.765852i \(0.722318\pi\)
\(62\) 1.18008 3.63190i 0.149870 0.461251i
\(63\) 3.85674 0.283651i 0.485904 0.0357367i
\(64\) −1.75586 5.40400i −0.219483 0.675499i
\(65\) 10.5826 3.51124i 1.31261 0.435516i
\(66\) 1.73902 1.36372i 0.214058 0.167862i
\(67\) 0.0475303 0.452221i 0.00580675 0.0552476i −0.991235 0.132112i \(-0.957824\pi\)
0.997042 + 0.0768644i \(0.0244908\pi\)
\(68\) 14.4568 + 25.0399i 1.75314 + 3.03654i
\(69\) −2.48072 6.77772i −0.298643 0.815942i
\(70\) 4.17334 5.81969i 0.498809 0.695587i
\(71\) 1.33759 0.971819i 0.158743 0.115334i −0.505578 0.862781i \(-0.668721\pi\)
0.664321 + 0.747447i \(0.268721\pi\)
\(72\) 0.506910 16.1873i 0.0597400 1.90769i
\(73\) −2.72548 8.38816i −0.318993 0.981760i −0.974079 0.226206i \(-0.927368\pi\)
0.655086 0.755554i \(-0.272632\pi\)
\(74\) 9.13854 15.8284i 1.06233 1.84002i
\(75\) 2.26856 8.35785i 0.261951 0.965081i
\(76\) −10.8807 18.8459i −1.24810 2.16178i
\(77\) −0.442959 + 0.491955i −0.0504798 + 0.0560635i
\(78\) −10.0398 + 18.9644i −1.13678 + 2.14730i
\(79\) 0.359882 + 3.42405i 0.0404899 + 0.385236i 0.995936 + 0.0900686i \(0.0287086\pi\)
−0.955446 + 0.295167i \(0.904625\pi\)
\(80\) −8.46644 7.52863i −0.946577 0.841727i
\(81\) −3.31127 + 8.36872i −0.367919 + 0.929858i
\(82\) −10.1232 −1.11792
\(83\) 13.4120 5.97142i 1.47216 0.655448i 0.495183 0.868789i \(-0.335101\pi\)
0.976978 + 0.213341i \(0.0684344\pi\)
\(84\) 1.31324 + 9.22366i 0.143286 + 1.00638i
\(85\) −13.4658 7.66350i −1.46057 0.831223i
\(86\) 6.92795 7.69427i 0.747061 0.829695i
\(87\) 11.1363 + 4.47604i 1.19394 + 0.479882i
\(88\) 1.85506 + 2.06025i 0.197750 + 0.219623i
\(89\) −2.98202 9.17771i −0.316093 0.972835i −0.975302 0.220875i \(-0.929109\pi\)
0.659209 0.751960i \(-0.270891\pi\)
\(90\) 7.96843 + 14.6383i 0.839947 + 1.54302i
\(91\) 1.98628 6.11314i 0.208219 0.640831i
\(92\) 15.8848 7.07238i 1.65611 0.737346i
\(93\) −2.20977 1.48473i −0.229142 0.153959i
\(94\) −2.09166 + 19.9008i −0.215738 + 2.05261i
\(95\) 10.1349 + 5.76782i 1.03981 + 0.591766i
\(96\) 3.10118 0.113887i 0.316513 0.0116236i
\(97\) −0.842924 8.01989i −0.0855860 0.814296i −0.950154 0.311781i \(-0.899075\pi\)
0.864568 0.502516i \(-0.167592\pi\)
\(98\) 4.09855 + 12.6140i 0.414016 + 1.27421i
\(99\) −0.582277 1.42637i −0.0585210 0.143356i
\(100\) 20.4604 + 4.08432i 2.04604 + 0.408432i
\(101\) −7.80298 + 13.5152i −0.776425 + 1.34481i 0.157565 + 0.987509i \(0.449636\pi\)
−0.933990 + 0.357299i \(0.883698\pi\)
\(102\) 28.9190 7.26566i 2.86341 0.719407i
\(103\) 13.8836 + 6.18136i 1.36799 + 0.609068i 0.953612 0.301038i \(-0.0973330\pi\)
0.414376 + 0.910106i \(0.364000\pi\)
\(104\) −24.5913 10.9488i −2.41138 1.07361i
\(105\) −3.10507 3.90940i −0.303024 0.381518i
\(106\) 6.21002 2.76488i 0.603171 0.268549i
\(107\) −10.6981 −1.03422 −0.517111 0.855919i \(-0.672992\pi\)
−0.517111 + 0.855919i \(0.672992\pi\)
\(108\) −20.6573 6.58879i −1.98775 0.634007i
\(109\) −4.10780 + 12.6425i −0.393456 + 1.21093i 0.536702 + 0.843772i \(0.319670\pi\)
−0.930158 + 0.367160i \(0.880330\pi\)
\(110\) −2.71882 0.864787i −0.259229 0.0824542i
\(111\) −8.86758 9.14962i −0.841674 0.868444i
\(112\) −6.38861 + 1.35794i −0.603667 + 0.128313i
\(113\) 9.31537 1.98004i 0.876316 0.186267i 0.252272 0.967656i \(-0.418822\pi\)
0.624044 + 0.781390i \(0.285489\pi\)
\(114\) −21.7655 + 5.46839i −2.03852 + 0.512162i
\(115\) −5.42992 + 7.57199i −0.506343 + 0.706092i
\(116\) −8.93533 + 27.5001i −0.829625 + 2.55332i
\(117\) 10.7981 + 10.3527i 0.998284 + 0.957108i
\(118\) 7.60135 0.699761
\(119\) −8.15969 + 3.63293i −0.747998 + 0.333030i
\(120\) −17.6417 + 11.2211i −1.61046 + 1.02434i
\(121\) −9.80807 4.36683i −0.891643 0.396985i
\(122\) −16.6541 7.41487i −1.50779 0.671311i
\(123\) −1.93302 + 6.78736i −0.174295 + 0.611996i
\(124\) 3.20690 5.55451i 0.287988 0.498810i
\(125\) −10.5670 + 3.65222i −0.945140 + 0.326664i
\(126\) 9.51927 + 1.30290i 0.848044 + 0.116072i
\(127\) 4.08839 + 12.5828i 0.362786 + 1.11654i 0.951356 + 0.308094i \(0.0996913\pi\)
−0.588570 + 0.808447i \(0.700309\pi\)
\(128\) −1.85022 17.6036i −0.163538 1.55596i
\(129\) −3.83594 6.11426i −0.337736 0.538331i
\(130\) 27.5319 3.06654i 2.41471 0.268953i
\(131\) −1.04806 + 9.97167i −0.0915699 + 0.871229i 0.848259 + 0.529582i \(0.177651\pi\)
−0.939828 + 0.341647i \(0.889015\pi\)
\(132\) 3.33311 1.63310i 0.290110 0.142143i
\(133\) 6.14127 2.73427i 0.532516 0.237091i
\(134\) 0.349108 1.07445i 0.0301584 0.0928179i
\(135\) 11.3362 2.54746i 0.975669 0.219250i
\(136\) 11.5590 + 35.5749i 0.991176 + 3.05053i
\(137\) 7.07228 + 7.85456i 0.604226 + 0.671060i 0.965199 0.261516i \(-0.0842223\pi\)
−0.360974 + 0.932576i \(0.617556\pi\)
\(138\) −2.52760 17.7528i −0.215164 1.51122i
\(139\) 0.398014 0.442039i 0.0337591 0.0374933i −0.726029 0.687664i \(-0.758636\pi\)
0.759788 + 0.650171i \(0.225303\pi\)
\(140\) 8.88827 8.10345i 0.751196 0.684867i
\(141\) 12.9436 + 5.20247i 1.09005 + 0.438127i
\(142\) 3.75266 1.67079i 0.314916 0.140210i
\(143\) −2.56076 −0.214141
\(144\) 3.62415 14.7620i 0.302012 1.23016i
\(145\) −3.31550 15.1358i −0.275338 1.25696i
\(146\) −2.29053 21.7930i −0.189566 1.80360i
\(147\) 9.24005 0.339330i 0.762107 0.0279874i
\(148\) 20.5402 22.8122i 1.68840 1.87515i
\(149\) −1.01642 1.76049i −0.0832683 0.144225i 0.821384 0.570376i \(-0.193203\pi\)
−0.904652 + 0.426151i \(0.859869\pi\)
\(150\) 9.83044 19.1396i 0.802652 1.56274i
\(151\) −2.10363 + 3.64359i −0.171191 + 0.296511i −0.938836 0.344363i \(-0.888095\pi\)
0.767646 + 0.640874i \(0.221428\pi\)
\(152\) −8.69971 26.7750i −0.705640 2.17174i
\(153\) 0.650637 20.7769i 0.0526009 1.67971i
\(154\) −1.33061 + 0.966746i −0.107224 + 0.0779027i
\(155\) 0.0213235 + 3.43686i 0.00171275 + 0.276055i
\(156\) −23.1159 + 27.6494i −1.85075 + 2.21372i
\(157\) 0.279109 + 0.483431i 0.0222753 + 0.0385820i 0.876948 0.480585i \(-0.159576\pi\)
−0.854673 + 0.519167i \(0.826242\pi\)
\(158\) −0.894133 + 8.50710i −0.0711334 + 0.676789i
\(159\) −0.667984 4.69163i −0.0529745 0.372071i
\(160\) −2.37491 3.22650i −0.187753 0.255077i
\(161\) 1.65988 + 5.10858i 0.130817 + 0.402612i
\(162\) −12.3701 + 18.6274i −0.971884 + 1.46351i
\(163\) −5.35439 + 16.4791i −0.419388 + 1.29074i 0.488879 + 0.872352i \(0.337406\pi\)
−0.908267 + 0.418392i \(0.862594\pi\)
\(164\) −16.6306 3.53495i −1.29864 0.276033i
\(165\) −1.09898 + 1.65778i −0.0855554 + 0.129058i
\(166\) 35.6788 7.58376i 2.76921 0.588614i
\(167\) 0.685292 6.52012i 0.0530295 0.504542i −0.935480 0.353381i \(-0.885032\pi\)
0.988509 0.151161i \(-0.0483013\pi\)
\(168\) −0.819125 + 12.0252i −0.0631969 + 0.927762i
\(169\) 10.8384 4.82559i 0.833727 0.371199i
\(170\) −28.7663 25.5799i −2.20627 1.96189i
\(171\) −0.489693 + 15.6374i −0.0374477 + 1.19583i
\(172\) 14.0682 10.2212i 1.07269 0.779357i
\(173\) 1.05159 + 0.223521i 0.0799506 + 0.0169940i 0.247713 0.968833i \(-0.420321\pi\)
−0.167763 + 0.985827i \(0.553654\pi\)
\(174\) 24.7515 + 16.6303i 1.87641 + 1.26074i
\(175\) −1.91548 + 6.15405i −0.144797 + 0.465203i
\(176\) 1.30102 + 2.25343i 0.0980678 + 0.169858i
\(177\) 1.45148 5.09653i 0.109100 0.383079i
\(178\) −2.50613 23.8443i −0.187843 1.78720i
\(179\) 15.2398 11.0724i 1.13908 0.827587i 0.152085 0.988367i \(-0.451401\pi\)
0.986990 + 0.160781i \(0.0514012\pi\)
\(180\) 7.97915 + 26.8308i 0.594730 + 1.99985i
\(181\) −11.6647 8.47488i −0.867029 0.629933i 0.0627594 0.998029i \(-0.480010\pi\)
−0.929788 + 0.368096i \(0.880010\pi\)
\(182\) 7.98490 13.8303i 0.591880 1.02517i
\(183\) −8.15161 + 9.75031i −0.602584 + 0.720764i
\(184\) 22.0035 4.67699i 1.62212 0.344792i
\(185\) −3.32013 + 16.1109i −0.244101 + 1.18449i
\(186\) −4.60328 4.74969i −0.337529 0.348264i
\(187\) 2.38103 + 2.64440i 0.174118 + 0.193378i
\(188\) −10.3855 + 31.9632i −0.757439 + 2.33116i
\(189\) 2.69127 6.13366i 0.195761 0.446158i
\(190\) 21.6505 + 19.2523i 1.57069 + 1.39671i
\(191\) −12.3893 13.7597i −0.896455 0.995614i −1.00000 0.000989586i \(-0.999685\pi\)
0.103544 0.994625i \(-0.466982\pi\)
\(192\) −9.69522 1.69153i −0.699693 0.122076i
\(193\) −2.70053 4.67746i −0.194388 0.336691i 0.752311 0.658808i \(-0.228939\pi\)
−0.946700 + 0.322117i \(0.895606\pi\)
\(194\) 2.09426 19.9255i 0.150359 1.43057i
\(195\) 3.20118 19.0451i 0.229241 1.36385i
\(196\) 2.32847 + 22.1539i 0.166319 + 1.58242i
\(197\) −12.6037 + 9.15716i −0.897980 + 0.652421i −0.937946 0.346780i \(-0.887275\pi\)
0.0399665 + 0.999201i \(0.487275\pi\)
\(198\) −0.678255 3.76719i −0.0482015 0.267722i
\(199\) −17.1285 −1.21421 −0.607104 0.794623i \(-0.707669\pi\)
−0.607104 + 0.794623i \(0.707669\pi\)
\(200\) 24.7927 + 10.6718i 1.75311 + 0.754612i
\(201\) −0.653729 0.439235i −0.0461105 0.0309812i
\(202\) −25.9444 + 28.8141i −1.82544 + 2.02736i
\(203\) −8.16018 3.63315i −0.572733 0.254997i
\(204\) 50.0461 1.83788i 3.50393 0.128678i
\(205\) 8.64733 2.86912i 0.603955 0.200388i
\(206\) 30.5471 + 22.1938i 2.12832 + 1.54631i
\(207\) −12.3855 1.69520i −0.860852 0.117825i
\(208\) −20.4398 14.8504i −1.41724 1.02969i
\(209\) −1.79205 1.99027i −0.123959 0.137670i
\(210\) −5.52658 11.1047i −0.381370 0.766295i
\(211\) −9.68372 + 10.7549i −0.666655 + 0.740395i −0.977702 0.209999i \(-0.932654\pi\)
0.311047 + 0.950395i \(0.399320\pi\)
\(212\) 11.1675 2.37372i 0.766986 0.163028i
\(213\) −0.403656 2.83511i −0.0276580 0.194258i
\(214\) −25.9987 5.52619i −1.77723 0.377763i
\(215\) −3.73721 + 8.53606i −0.254876 + 0.582154i
\(216\) −24.3682 13.8940i −1.65805 0.945368i
\(217\) 1.60293 + 1.16460i 0.108814 + 0.0790579i
\(218\) −16.5135 + 28.6022i −1.11843 + 1.93718i
\(219\) −15.0491 2.62563i −1.01692 0.177423i
\(220\) −4.16458 2.37009i −0.280776 0.159792i
\(221\) −31.5638 14.0531i −2.12321 0.945316i
\(222\) −16.8239 26.8163i −1.12914 1.79979i
\(223\) 18.2430 + 3.87767i 1.22164 + 0.259668i 0.773210 0.634150i \(-0.218650\pi\)
0.448431 + 0.893818i \(0.351983\pi\)
\(224\) −2.30957 −0.154314
\(225\) −10.9555 10.2458i −0.730369 0.683053i
\(226\) 23.6612 1.57392
\(227\) −16.6360 3.53610i −1.10417 0.234699i −0.380457 0.924799i \(-0.624233\pi\)
−0.723714 + 0.690100i \(0.757567\pi\)
\(228\) −37.6665 + 1.38326i −2.49452 + 0.0916083i
\(229\) −19.8898 8.85552i −1.31436 0.585189i −0.374649 0.927167i \(-0.622237\pi\)
−0.939708 + 0.341977i \(0.888903\pi\)
\(230\) −17.1073 + 15.5968i −1.12802 + 1.02842i
\(231\) 0.394101 + 1.07675i 0.0259299 + 0.0708447i
\(232\) −18.7040 + 32.3962i −1.22798 + 2.12692i
\(233\) −7.60150 5.52281i −0.497991 0.361811i 0.310258 0.950652i \(-0.399584\pi\)
−0.808249 + 0.588841i \(0.799584\pi\)
\(234\) 20.8940 + 30.7372i 1.36588 + 2.00936i
\(235\) −3.85359 17.5923i −0.251380 1.14759i
\(236\) 12.4877 + 2.65434i 0.812880 + 0.172783i
\(237\) 5.53308 + 2.22393i 0.359412 + 0.144460i
\(238\) −21.7065 + 4.61386i −1.40702 + 0.299072i
\(239\) 3.28802 3.65172i 0.212684 0.236210i −0.627358 0.778731i \(-0.715864\pi\)
0.840042 + 0.542521i \(0.182530\pi\)
\(240\) −18.3858 + 6.85904i −1.18680 + 0.442749i
\(241\) −5.34404 5.93515i −0.344240 0.382317i 0.546019 0.837773i \(-0.316143\pi\)
−0.890258 + 0.455456i \(0.849476\pi\)
\(242\) −21.5801 15.6788i −1.38722 1.00787i
\(243\) 10.1272 + 11.8508i 0.649659 + 0.760226i
\(244\) −24.7706 17.9969i −1.58577 1.15213i
\(245\) −7.07611 9.61343i −0.452076 0.614180i
\(246\) −8.20376 + 15.4963i −0.523053 + 0.988007i
\(247\) 23.7561 + 10.5769i 1.51156 + 0.672991i
\(248\) 5.55215 6.16629i 0.352562 0.391560i
\(249\) 1.72814 25.3699i 0.109516 1.60775i
\(250\) −27.5667 + 3.41722i −1.74347 + 0.216124i
\(251\) 21.5099 1.35769 0.678847 0.734279i \(-0.262480\pi\)
0.678847 + 0.734279i \(0.262480\pi\)
\(252\) 15.1836 + 5.46452i 0.956474 + 0.344232i
\(253\) 1.73126 1.25783i 0.108843 0.0790792i
\(254\) 3.43595 + 32.6909i 0.215591 + 2.05121i
\(255\) −22.6437 + 14.4027i −1.41800 + 0.901929i
\(256\) 3.40901 32.4346i 0.213063 2.02716i
\(257\) 4.80713 + 8.32619i 0.299860 + 0.519373i 0.976104 0.217305i \(-0.0697266\pi\)
−0.676243 + 0.736678i \(0.736393\pi\)
\(258\) −6.16381 16.8405i −0.383742 1.04844i
\(259\) 6.34522 + 7.04708i 0.394273 + 0.437884i
\(260\) 46.3010 + 4.57618i 2.87147 + 0.283803i
\(261\) 15.8766 13.4198i 0.982735 0.830662i
\(262\) −7.69800 + 23.6920i −0.475584 + 1.46370i
\(263\) 6.46203 + 7.17681i 0.398466 + 0.442541i 0.908672 0.417511i \(-0.137098\pi\)
−0.510206 + 0.860052i \(0.670431\pi\)
\(264\) 4.65710 1.17006i 0.286625 0.0720120i
\(265\) −4.52104 + 4.12184i −0.277725 + 0.253203i
\(266\) 16.3371 3.47255i 1.00169 0.212916i
\(267\) −16.4656 2.87276i −1.00768 0.175810i
\(268\) 0.948715 1.64322i 0.0579520 0.100376i
\(269\) 14.7015 + 10.6812i 0.896364 + 0.651246i 0.937529 0.347906i \(-0.113107\pi\)
−0.0411659 + 0.999152i \(0.513107\pi\)
\(270\) 28.8655 0.335041i 1.75670 0.0203899i
\(271\) −2.02436 + 1.47078i −0.122971 + 0.0893437i −0.647571 0.762005i \(-0.724215\pi\)
0.524600 + 0.851349i \(0.324215\pi\)
\(272\) 3.66977 + 34.9155i 0.222512 + 2.11706i
\(273\) −7.74815 7.99458i −0.468939 0.483854i
\(274\) 13.1299 + 22.7416i 0.793204 + 1.37387i
\(275\) 2.56754 0.0318612i 0.154829 0.00192130i
\(276\) 2.04676 30.0474i 0.123200 1.80864i
\(277\) −13.1783 2.80114i −0.791809 0.168304i −0.205784 0.978597i \(-0.565974\pi\)
−0.586025 + 0.810293i \(0.699308\pi\)
\(278\) 1.19560 0.868656i 0.0717075 0.0520985i
\(279\) −4.06356 + 2.17944i −0.243279 + 0.130480i
\(280\) 13.4272 7.86366i 0.802427 0.469944i
\(281\) −0.690611 + 0.307480i −0.0411984 + 0.0183427i −0.427232 0.904142i \(-0.640511\pi\)
0.386034 + 0.922485i \(0.373845\pi\)
\(282\) 28.7685 + 19.3293i 1.71314 + 1.15105i
\(283\) 0.437736 4.16478i 0.0260207 0.247571i −0.973778 0.227501i \(-0.926945\pi\)
0.999799 0.0200697i \(-0.00638881\pi\)
\(284\) 6.74840 1.43442i 0.400444 0.0851169i
\(285\) 17.0424 10.8399i 1.00951 0.642103i
\(286\) −6.22321 1.32278i −0.367986 0.0782178i
\(287\) 1.62304 4.99519i 0.0958049 0.294857i
\(288\) 2.33884 4.83950i 0.137818 0.285170i
\(289\) 9.58309 + 29.4937i 0.563711 + 1.73492i
\(290\) −0.238844 38.4961i −0.0140254 2.26057i
\(291\) −12.9597 5.20894i −0.759712 0.305353i
\(292\) 3.84702 36.6020i 0.225130 2.14197i
\(293\) −13.1006 22.6909i −0.765344 1.32561i −0.940065 0.340997i \(-0.889236\pi\)
0.174721 0.984618i \(-0.444098\pi\)
\(294\) 22.6307 + 3.94839i 1.31985 + 0.230275i
\(295\) −6.49315 + 2.15438i −0.378046 + 0.125433i
\(296\) 32.1283 23.3426i 1.86742 1.35676i
\(297\) −2.65533 0.264591i −0.154078 0.0153531i
\(298\) −1.56073 4.80343i −0.0904105 0.278255i
\(299\) −10.3891 + 17.9945i −0.600819 + 1.04065i
\(300\) 22.8332 28.0103i 1.31827 1.61718i
\(301\) 2.68592 + 4.65215i 0.154814 + 0.268146i
\(302\) −6.99441 + 7.76808i −0.402483 + 0.447003i
\(303\) 14.3651 + 22.8972i 0.825256 + 1.31541i
\(304\) −2.76200 26.2787i −0.158411 1.50718i
\(305\) 16.3276 + 1.61375i 0.934917 + 0.0924029i
\(306\) 12.3137 50.1565i 0.703928 2.86725i
\(307\) 13.6647 0.779887 0.389944 0.920839i \(-0.372495\pi\)
0.389944 + 0.920839i \(0.372495\pi\)
\(308\) −2.52355 + 1.12356i −0.143793 + 0.0640206i
\(309\) 20.7134 16.2432i 1.17834 0.924046i
\(310\) −1.72352 + 8.36336i −0.0978896 + 0.475007i
\(311\) 0.639250 0.709959i 0.0362486 0.0402581i −0.724748 0.689014i \(-0.758044\pi\)
0.760996 + 0.648756i \(0.224710\pi\)
\(312\) −36.6887 + 28.7709i −2.07709 + 1.62883i
\(313\) −8.02015 8.90728i −0.453326 0.503469i 0.472547 0.881306i \(-0.343335\pi\)
−0.925872 + 0.377836i \(0.876668\pi\)
\(314\) 0.428576 + 1.31902i 0.0241859 + 0.0744367i
\(315\) −8.50073 + 1.58501i −0.478962 + 0.0893050i
\(316\) −4.43953 + 13.6635i −0.249743 + 0.768631i
\(317\) 2.06249 0.918281i 0.115841 0.0515758i −0.347998 0.937495i \(-0.613138\pi\)
0.463839 + 0.885920i \(0.346472\pi\)
\(318\) 0.800161 11.7468i 0.0448708 0.658726i
\(319\) −0.371976 + 3.53911i −0.0208266 + 0.198152i
\(320\) 5.23973 + 11.5748i 0.292910 + 0.647052i
\(321\) −8.66964 + 16.3763i −0.483892 + 0.914036i
\(322\) 1.39499 + 13.2724i 0.0777395 + 0.739642i
\(323\) −11.1664 34.3666i −0.621314 1.91221i
\(324\) −26.8265 + 26.2821i −1.49036 + 1.46011i
\(325\) −22.6489 + 10.4226i −1.25634 + 0.578141i
\(326\) −21.5248 + 37.2821i −1.19215 + 2.06486i
\(327\) 16.0239 + 16.5335i 0.886121 + 0.914305i
\(328\) −20.0942 8.94651i −1.10952 0.493988i
\(329\) −9.48453 4.22278i −0.522899 0.232810i
\(330\) −3.52711 + 3.46108i −0.194161 + 0.190526i
\(331\) 12.2444 5.45156i 0.673014 0.299645i −0.0416306 0.999133i \(-0.513255\pi\)
0.714644 + 0.699488i \(0.246589\pi\)
\(332\) 61.2623 3.36221
\(333\) −21.1922 + 6.15945i −1.16133 + 0.337536i
\(334\) 5.03344 15.4913i 0.275418 0.847649i
\(335\) 0.00630826 + 1.01675i 0.000344657 + 0.0555508i
\(336\) −3.09859 + 10.8800i −0.169042 + 0.593552i
\(337\) −11.7817 + 2.50428i −0.641790 + 0.136417i −0.517300 0.855804i \(-0.673063\pi\)
−0.124490 + 0.992221i \(0.539730\pi\)
\(338\) 28.8326 6.12855i 1.56828 0.333349i
\(339\) 4.51812 15.8643i 0.245390 0.861631i
\(340\) −38.3257 52.0684i −2.07850 2.82381i
\(341\) 0.243921 0.750712i 0.0132091 0.0406533i
\(342\) −9.26774 + 37.7495i −0.501142 + 2.04126i
\(343\) −15.9048 −0.858777
\(344\) 20.5517 9.15020i 1.10807 0.493346i
\(345\) 7.19062 + 14.4483i 0.387130 + 0.777868i
\(346\) 2.44013 + 1.08641i 0.131182 + 0.0584060i
\(347\) 0.638552 + 0.284302i 0.0342793 + 0.0152621i 0.423805 0.905754i \(-0.360694\pi\)
−0.389525 + 0.921016i \(0.627361\pi\)
\(348\) 34.8553 + 35.9639i 1.86844 + 1.92787i
\(349\) 8.65614 14.9929i 0.463353 0.802551i −0.535773 0.844362i \(-0.679980\pi\)
0.999126 + 0.0418117i \(0.0133130\pi\)
\(350\) −7.83399 + 13.9663i −0.418744 + 0.746528i
\(351\) 24.5983 8.13966i 1.31296 0.434463i
\(352\) 0.284330 + 0.875079i 0.0151549 + 0.0466419i
\(353\) 0.551935 + 5.25131i 0.0293765 + 0.279499i 0.999342 + 0.0362582i \(0.0115439\pi\)
−0.969966 + 0.243241i \(0.921789\pi\)
\(354\) 6.16008 11.6359i 0.327405 0.618442i
\(355\) −2.73202 + 2.49079i −0.145001 + 0.132197i
\(356\) 4.20912 40.0471i 0.223083 2.12249i
\(357\) −1.05138 + 15.4347i −0.0556447 + 0.816893i
\(358\) 42.7556 19.0360i 2.25970 1.00609i
\(359\) 0.334961 1.03090i 0.0176786 0.0544091i −0.941828 0.336095i \(-0.890894\pi\)
0.959507 + 0.281686i \(0.0908937\pi\)
\(360\) 2.88024 + 36.0988i 0.151802 + 1.90258i
\(361\) 2.53289 + 7.79543i 0.133310 + 0.410286i
\(362\) −23.9700 26.6214i −1.25983 1.39919i
\(363\) −14.6330 + 11.4751i −0.768034 + 0.602285i
\(364\) 17.9473 19.9324i 0.940692 1.04474i
\(365\) 8.13319 + 17.9666i 0.425710 + 0.940415i
\(366\) −24.8468 + 19.4846i −1.29877 + 1.01848i
\(367\) 28.5328 12.7036i 1.48940 0.663123i 0.509111 0.860701i \(-0.329974\pi\)
0.980287 + 0.197578i \(0.0633075\pi\)
\(368\) 21.1132 1.10060
\(369\) 8.82339 + 8.45945i 0.459327 + 0.440381i
\(370\) −16.3909 + 37.4379i −0.852121 + 1.94630i
\(371\) 0.368661 + 3.50757i 0.0191399 + 0.182104i
\(372\) −5.90384 9.41036i −0.306100 0.487905i
\(373\) −0.165419 + 0.183716i −0.00856507 + 0.00951248i −0.747412 0.664361i \(-0.768704\pi\)
0.738847 + 0.673873i \(0.235371\pi\)
\(374\) 4.42044 + 7.65643i 0.228576 + 0.395905i
\(375\) −2.97271 + 19.1354i −0.153510 + 0.988147i
\(376\) −21.7395 + 37.6539i −1.12113 + 1.94185i
\(377\) −10.6775 32.8619i −0.549917 1.69247i
\(378\) 9.70880 13.5160i 0.499367 0.695186i
\(379\) 18.0726 13.1305i 0.928325 0.674467i −0.0172574 0.999851i \(-0.505493\pi\)
0.945582 + 0.325384i \(0.105493\pi\)
\(380\) 28.8453 + 39.1885i 1.47973 + 2.01033i
\(381\) 22.5746 + 3.93860i 1.15653 + 0.201781i
\(382\) −23.0010 39.8388i −1.17683 2.03833i
\(383\) −2.77196 + 26.3735i −0.141641 + 1.34762i 0.660653 + 0.750692i \(0.270280\pi\)
−0.802293 + 0.596930i \(0.796387\pi\)
\(384\) −28.4466 11.4336i −1.45166 0.583469i
\(385\) 0.862627 1.20293i 0.0439635 0.0613069i
\(386\) −4.14671 12.7622i −0.211062 0.649581i
\(387\) −12.4682 + 0.916993i −0.633792 + 0.0466134i
\(388\) 10.3984 32.0029i 0.527898 1.62470i
\(389\) 12.7219 + 2.70413i 0.645028 + 0.137105i 0.518799 0.854896i \(-0.326379\pi\)
0.126229 + 0.992001i \(0.459713\pi\)
\(390\) 17.6175 44.6302i 0.892097 2.25994i
\(391\) 28.2423 6.00308i 1.42827 0.303589i
\(392\) −3.01235 + 28.6606i −0.152147 + 1.44758i
\(393\) 14.4150 + 9.68533i 0.727141 + 0.488560i
\(394\) −35.3601 + 15.7433i −1.78142 + 0.793138i
\(395\) −1.64731 7.52027i −0.0828854 0.378386i
\(396\) 0.201223 6.42568i 0.0101118 0.322903i
\(397\) 24.8748 18.0726i 1.24843 0.907040i 0.250303 0.968168i \(-0.419470\pi\)
0.998130 + 0.0611280i \(0.0194698\pi\)
\(398\) −41.6261 8.84790i −2.08653 0.443505i
\(399\) 0.791302 11.6167i 0.0396147 0.581564i
\(400\) 20.6787 + 14.6354i 1.03394 + 0.731771i
\(401\) 5.05931 + 8.76298i 0.252650 + 0.437602i 0.964255 0.264978i \(-0.0853646\pi\)
−0.711605 + 0.702580i \(0.752031\pi\)
\(402\) −1.36182 1.40513i −0.0679212 0.0700814i
\(403\) 0.801137 + 7.62231i 0.0399075 + 0.379694i
\(404\) −52.6838 + 38.2771i −2.62112 + 1.90435i
\(405\) 5.28724 19.4176i 0.262725 0.964871i
\(406\) −17.9543 13.0446i −0.891058 0.647392i
\(407\) 1.88893 3.27173i 0.0936309 0.162173i
\(408\) 63.8245 + 11.1355i 3.15978 + 0.551290i
\(409\) 17.3238 3.68229i 0.856607 0.182077i 0.241383 0.970430i \(-0.422399\pi\)
0.615224 + 0.788353i \(0.289066\pi\)
\(410\) 22.4970 2.50574i 1.11105 0.123750i
\(411\) 17.7549 4.46076i 0.875783 0.220033i
\(412\) 42.4337 + 47.1274i 2.09056 + 2.32180i
\(413\) −1.21871 + 3.75082i −0.0599690 + 0.184566i
\(414\) −29.2239 10.5176i −1.43627 0.516911i
\(415\) −28.3278 + 16.5902i −1.39056 + 0.814383i
\(416\) −5.97802 6.63927i −0.293097 0.325517i
\(417\) −0.354113 0.967494i −0.0173410 0.0473784i
\(418\) −3.32698 5.76250i −0.162728 0.281853i
\(419\) 1.40339 13.3523i 0.0685600 0.652305i −0.905240 0.424900i \(-0.860309\pi\)
0.973800 0.227405i \(-0.0730241\pi\)
\(420\) −5.20154 20.1729i −0.253809 0.984337i
\(421\) 3.40776 + 32.4227i 0.166084 + 1.58019i 0.687051 + 0.726609i \(0.258905\pi\)
−0.520967 + 0.853577i \(0.674428\pi\)
\(422\) −29.0891 + 21.1345i −1.41604 + 1.02881i
\(423\) 18.4532 15.5977i 0.897227 0.758386i
\(424\) 14.7702 0.717304
\(425\) 31.8224 + 13.6977i 1.54361 + 0.664434i
\(426\) 0.483529 7.09846i 0.0234271 0.343921i
\(427\) 6.32893 7.02899i 0.306279 0.340157i
\(428\) −40.7817 18.1572i −1.97126 0.877660i
\(429\) −2.07522 + 3.91993i −0.100193 + 0.189256i
\(430\) −13.4916 + 18.8140i −0.650625 + 0.907293i
\(431\) 7.24479 + 5.26365i 0.348969 + 0.253541i 0.748436 0.663206i \(-0.230805\pi\)
−0.399467 + 0.916747i \(0.630805\pi\)
\(432\) −19.6602 17.5107i −0.945902 0.842486i
\(433\) 22.5500 + 16.3836i 1.08369 + 0.787344i 0.978322 0.207090i \(-0.0663992\pi\)
0.105364 + 0.994434i \(0.466399\pi\)
\(434\) 3.29389 + 3.65823i 0.158112 + 0.175601i
\(435\) −25.8564 7.19071i −1.23972 0.344768i
\(436\) −37.1165 + 41.2220i −1.77756 + 1.97418i
\(437\) −21.2561 + 4.51813i −1.01682 + 0.216132i
\(438\) −35.2163 14.1546i −1.68270 0.676333i
\(439\) 3.07587 + 0.653797i 0.146803 + 0.0312040i 0.280727 0.959788i \(-0.409424\pi\)
−0.133924 + 0.990992i \(0.542758\pi\)
\(440\) −4.63250 4.11937i −0.220846 0.196383i
\(441\) 6.96864 14.4194i 0.331840 0.686638i
\(442\) −69.4479 50.4568i −3.30330 2.39999i
\(443\) 9.86697 17.0901i 0.468794 0.811975i −0.530570 0.847641i \(-0.678022\pi\)
0.999364 + 0.0356665i \(0.0113554\pi\)
\(444\) −18.2747 49.9293i −0.867277 2.36954i
\(445\) 8.89873 + 19.6577i 0.421840 + 0.931866i
\(446\) 42.3315 + 18.8472i 2.00445 + 0.892440i
\(447\) −3.51861 + 0.129217i −0.166425 + 0.00611174i
\(448\) 7.16447 + 1.52285i 0.338489 + 0.0719481i
\(449\) −13.7726 −0.649970 −0.324985 0.945719i \(-0.605359\pi\)
−0.324985 + 0.945719i \(0.605359\pi\)
\(450\) −21.3318 30.5588i −1.00559 1.44055i
\(451\) −2.09246 −0.0985300
\(452\) 38.8713 + 8.26235i 1.82835 + 0.388628i
\(453\) 3.87274 + 6.17291i 0.181957 + 0.290029i
\(454\) −38.6026 17.1870i −1.81171 0.806626i
\(455\) −2.90100 + 14.0770i −0.136001 + 0.659942i
\(456\) −48.0365 8.38098i −2.24952 0.392475i
\(457\) 8.03370 13.9148i 0.375801 0.650906i −0.614646 0.788803i \(-0.710701\pi\)
0.990447 + 0.137897i \(0.0440344\pi\)
\(458\) −43.7623 31.7952i −2.04488 1.48569i
\(459\) −31.2775 17.8335i −1.45991 0.832395i
\(460\) −33.5506 + 19.6490i −1.56431 + 0.916140i
\(461\) −10.0438 2.13487i −0.467785 0.0994309i −0.0320125 0.999487i \(-0.510192\pi\)
−0.435773 + 0.900057i \(0.643525\pi\)
\(462\) 0.401549 + 2.82031i 0.0186817 + 0.131213i
\(463\) −17.6285 + 3.74706i −0.819268 + 0.174141i −0.598435 0.801171i \(-0.704211\pi\)
−0.220832 + 0.975312i \(0.570877\pi\)
\(464\) −23.4931 + 26.0918i −1.09064 + 1.21128i
\(465\) 5.27833 + 2.75257i 0.244777 + 0.127647i
\(466\) −15.6205 17.3483i −0.723604 0.803644i
\(467\) 28.5731 + 20.7596i 1.32221 + 0.960639i 0.999902 + 0.0140027i \(0.00445734\pi\)
0.322304 + 0.946636i \(0.395543\pi\)
\(468\) 23.5920 + 57.7921i 1.09054 + 2.67144i
\(469\) 0.474203 + 0.344529i 0.0218967 + 0.0159089i
\(470\) −0.277607 44.7438i −0.0128050 2.06388i
\(471\) 0.966210 0.0354829i 0.0445206 0.00163497i
\(472\) 15.0884 + 6.71780i 0.694501 + 0.309212i
\(473\) 1.43201 1.59040i 0.0658437 0.0731268i
\(474\) 12.2978 + 8.26281i 0.564858 + 0.379524i
\(475\) −23.9506 10.3093i −1.09893 0.473025i
\(476\) −37.2712 −1.70832
\(477\) −7.72315 2.77954i −0.353619 0.127266i
\(478\) 9.87695 7.17603i 0.451761 0.328224i
\(479\) 0.178641 + 1.69966i 0.00816233 + 0.0776594i 0.997845 0.0656191i \(-0.0209022\pi\)
−0.989682 + 0.143278i \(0.954236\pi\)
\(480\) −6.86365 + 1.02072i −0.313281 + 0.0465891i
\(481\) −3.83430 + 36.4810i −0.174829 + 1.66339i
\(482\) −9.92134 17.1843i −0.451905 0.782722i
\(483\) 9.16522 + 1.59906i 0.417032 + 0.0727599i
\(484\) −29.9774 33.2933i −1.36261 1.51333i
\(485\) 3.85838 + 17.6142i 0.175200 + 0.799818i
\(486\) 18.4897 + 34.0313i 0.838709 + 1.54369i
\(487\) 10.1084 31.1106i 0.458057 1.40975i −0.409452 0.912332i \(-0.634280\pi\)
0.867509 0.497422i \(-0.165720\pi\)
\(488\) −26.5048 29.4366i −1.19982 1.33253i
\(489\) 20.8866 + 21.5509i 0.944525 + 0.974566i
\(490\) −12.2306 27.0180i −0.552523 1.22055i
\(491\) −40.3627 + 8.57936i −1.82154 + 0.387181i −0.986600 0.163155i \(-0.947833\pi\)
−0.834943 + 0.550336i \(0.814500\pi\)
\(492\) −18.8886 + 22.5930i −0.851562 + 1.01857i
\(493\) −24.0072 + 41.5817i −1.08123 + 1.87275i
\(494\) 52.2689 + 37.9756i 2.35169 + 1.70860i
\(495\) 1.64707 + 3.02574i 0.0740304 + 0.135997i
\(496\) 6.30049 4.57758i 0.282901 0.205539i
\(497\) 0.222778 + 2.11959i 0.00999296 + 0.0950766i
\(498\) 17.3049 60.7619i 0.775449 2.72281i
\(499\) 1.73929 + 3.01255i 0.0778615 + 0.134860i 0.902327 0.431052i \(-0.141857\pi\)
−0.824466 + 0.565912i \(0.808524\pi\)
\(500\) −46.4807 4.01223i −2.07868 0.179432i
\(501\) −9.42546 6.33289i −0.421098 0.282933i
\(502\) 52.2739 + 11.1112i 2.33310 + 0.495916i
\(503\) 13.8073 10.0316i 0.615638 0.447287i −0.235757 0.971812i \(-0.575757\pi\)
0.851395 + 0.524525i \(0.175757\pi\)
\(504\) 17.7440 + 10.9990i 0.790380 + 0.489935i
\(505\) 13.9954 31.9665i 0.622788 1.42249i
\(506\) 4.85709 2.16251i 0.215924 0.0961355i
\(507\) 1.39653 20.5018i 0.0620222 0.910518i
\(508\) −5.77078 + 54.9053i −0.256037 + 2.43603i
\(509\) −7.62861 + 1.62151i −0.338132 + 0.0718723i −0.373849 0.927490i \(-0.621962\pi\)
0.0357163 + 0.999362i \(0.488629\pi\)
\(510\) −62.4690 + 23.3048i −2.76618 + 1.03196i
\(511\) 11.1208 + 2.36380i 0.491955 + 0.104568i
\(512\) 14.0995 43.3938i 0.623115 1.91775i
\(513\) 23.5405 + 13.4221i 1.03934 + 0.592600i
\(514\) 7.38142 + 22.7177i 0.325580 + 1.00203i
\(515\) −32.3839 10.3005i −1.42700 0.453893i
\(516\) −4.24547 29.8184i −0.186897 1.31268i
\(517\) −0.432345 + 4.11349i −0.0190145 + 0.180911i
\(518\) 11.7801 + 20.4037i 0.517586 + 0.896486i
\(519\) 1.19436 1.42860i 0.0524265 0.0627085i
\(520\) 57.3601 + 18.2447i 2.51540 + 0.800085i
\(521\) −9.24944 + 6.72011i −0.405225 + 0.294413i −0.771666 0.636028i \(-0.780576\pi\)
0.366441 + 0.930441i \(0.380576\pi\)
\(522\) 45.5157 24.4118i 1.99217 1.06848i
\(523\) 6.03668 + 18.5790i 0.263966 + 0.812403i 0.991930 + 0.126788i \(0.0404667\pi\)
−0.727964 + 0.685615i \(0.759533\pi\)
\(524\) −20.9196 + 36.2338i −0.913876 + 1.58288i
\(525\) 7.86816 + 7.91937i 0.343395 + 0.345630i
\(526\) 11.9969 + 20.7793i 0.523090 + 0.906019i
\(527\) 7.12638 7.91465i 0.310430 0.344768i
\(528\) 4.50382 0.165397i 0.196003 0.00719799i
\(529\) 0.589142 + 5.60531i 0.0256149 + 0.243709i
\(530\) −13.1163 + 7.68160i −0.569736 + 0.333668i
\(531\) −6.62535 6.35208i −0.287516 0.275657i
\(532\) 28.0516 1.21619
\(533\) 18.5606 8.26372i 0.803949 0.357941i
\(534\) −38.5311 15.4869i −1.66740 0.670184i
\(535\) 23.7746 2.64804i 1.02786 0.114485i
\(536\) 1.64253 1.82421i 0.0709463 0.0787938i
\(537\) −4.59902 32.3016i −0.198463 1.39392i
\(538\) 30.2103 + 33.5520i 1.30246 + 1.44653i
\(539\) 0.847169 + 2.60732i 0.0364902 + 0.112305i
\(540\) 47.5381 + 9.52925i 2.04571 + 0.410074i
\(541\) 2.36879 7.29039i 0.101842 0.313439i −0.887134 0.461512i \(-0.847307\pi\)
0.988976 + 0.148073i \(0.0473072\pi\)
\(542\) −5.67939 + 2.52863i −0.243951 + 0.108614i
\(543\) −22.4261 + 10.9880i −0.962396 + 0.471539i
\(544\) −1.29768 + 12.3466i −0.0556375 + 0.529355i
\(545\) 5.99952 29.1125i 0.256991 1.24704i
\(546\) −14.7001 23.4310i −0.629104 1.00275i
\(547\) 1.50602 + 14.3288i 0.0643929 + 0.612657i 0.978366 + 0.206882i \(0.0663317\pi\)
−0.913973 + 0.405775i \(0.867002\pi\)
\(548\) 13.6289 + 41.9454i 0.582197 + 1.79182i
\(549\) 8.31949 + 20.3798i 0.355067 + 0.869790i
\(550\) 6.25616 + 1.24886i 0.266764 + 0.0532516i
\(551\) 18.0687 31.2959i 0.769751 1.33325i
\(552\) 10.6721 37.4726i 0.454235 1.59494i
\(553\) −4.05440 1.80514i −0.172411 0.0767622i
\(554\) −30.5793 13.6148i −1.29919 0.578437i
\(555\) 21.9714 + 18.1385i 0.932635 + 0.769936i
\(556\) 2.26750 1.00956i 0.0961633 0.0428147i
\(557\) 11.9602 0.506771 0.253386 0.967365i \(-0.418456\pi\)
0.253386 + 0.967365i \(0.418456\pi\)
\(558\) −11.0012 + 3.19745i −0.465716 + 0.135359i
\(559\) −6.42128 + 19.7627i −0.271591 + 0.835872i
\(560\) 13.8615 4.59913i 0.585753 0.194349i
\(561\) 5.97755 1.50181i 0.252372 0.0634064i
\(562\) −1.83717 + 0.390502i −0.0774963 + 0.0164724i
\(563\) 40.3973 8.58670i 1.70254 0.361886i 0.748865 0.662722i \(-0.230599\pi\)
0.953676 + 0.300836i \(0.0972657\pi\)
\(564\) 40.5121 + 41.8006i 1.70587 + 1.76012i
\(565\) −20.2117 + 6.70609i −0.850311 + 0.282127i
\(566\) 3.21516 9.89523i 0.135143 0.415928i
\(567\) −7.20825 9.09041i −0.302718 0.381761i
\(568\) 8.92549 0.374505
\(569\) −13.3805 + 5.95739i −0.560941 + 0.249747i −0.667564 0.744553i \(-0.732663\pi\)
0.106623 + 0.994300i \(0.465996\pi\)
\(570\) 47.0164 17.5401i 1.96930 0.734672i
\(571\) −21.3865 9.52187i −0.894996 0.398478i −0.0929016 0.995675i \(-0.529614\pi\)
−0.802094 + 0.597197i \(0.796281\pi\)
\(572\) −9.76175 4.34621i −0.408159 0.181724i
\(573\) −31.1031 + 7.81439i −1.29935 + 0.326451i
\(574\) 6.52466 11.3010i 0.272334 0.471696i
\(575\) 10.1928 18.1715i 0.425069 0.757803i
\(576\) −10.4463 + 13.4704i −0.435262 + 0.561265i
\(577\) 0.219132 + 0.674419i 0.00912259 + 0.0280764i 0.955514 0.294945i \(-0.0953014\pi\)
−0.946392 + 0.323022i \(0.895301\pi\)
\(578\) 8.05378 + 76.6266i 0.334993 + 3.18724i
\(579\) −9.34861 + 0.343316i −0.388515 + 0.0142677i
\(580\) 13.0502 63.3259i 0.541882 2.62947i
\(581\) −1.97820 + 18.8213i −0.0820694 + 0.780839i
\(582\) −28.8043 19.3534i −1.19398 0.802222i
\(583\) 1.28361 0.571500i 0.0531617 0.0236691i
\(584\) 14.7132 45.2827i 0.608838 1.87381i
\(585\) −26.5594 20.3343i −1.09810 0.840719i
\(586\) −20.1161 61.9111i −0.830990 2.55752i
\(587\) −7.12521 7.91335i −0.294089 0.326619i 0.577934 0.816083i \(-0.303859\pi\)
−0.872023 + 0.489464i \(0.837192\pi\)
\(588\) 35.7995 + 14.3890i 1.47635 + 0.593393i
\(589\) −5.36357 + 5.95685i −0.221002 + 0.245448i
\(590\) −16.8927 + 1.88153i −0.695460 + 0.0774612i
\(591\) 3.80353 + 26.7144i 0.156456 + 1.09888i
\(592\) 34.0507 15.1604i 1.39948 0.623087i
\(593\) −47.7160 −1.95946 −0.979730 0.200323i \(-0.935801\pi\)
−0.979730 + 0.200323i \(0.935801\pi\)
\(594\) −6.31636 2.01465i −0.259163 0.0826621i
\(595\) 17.2343 10.0933i 0.706535 0.413784i
\(596\) −0.886680 8.43620i −0.0363198 0.345560i
\(597\) −13.8808 + 26.2198i −0.568104 + 1.07311i
\(598\) −34.5432 + 38.3641i −1.41257 + 1.56882i
\(599\) 1.95259 + 3.38199i 0.0797808 + 0.138184i 0.903155 0.429314i \(-0.141245\pi\)
−0.823374 + 0.567498i \(0.807911\pi\)
\(600\) 36.4280 29.3037i 1.48717 1.19632i
\(601\) −3.54162 + 6.13427i −0.144466 + 0.250222i −0.929174 0.369644i \(-0.879480\pi\)
0.784708 + 0.619866i \(0.212813\pi\)
\(602\) 4.12427 + 12.6932i 0.168093 + 0.517336i
\(603\) −1.20215 + 0.644756i −0.0489552 + 0.0262565i
\(604\) −14.2032 + 10.3192i −0.577920 + 0.419883i
\(605\) 22.8776 + 7.27678i 0.930108 + 0.295843i
\(606\) 23.0827 + 63.0657i 0.937672 + 2.56187i
\(607\) 2.38982 + 4.13929i 0.0969997 + 0.168008i 0.910441 0.413638i \(-0.135742\pi\)
−0.813442 + 0.581646i \(0.802409\pi\)
\(608\) 0.976678 9.29247i 0.0396095 0.376860i
\(609\) −12.1745 + 9.54710i −0.493335 + 0.386868i
\(610\) 38.8462 + 12.3560i 1.57284 + 0.500278i
\(611\) −12.4103 38.1951i −0.502069 1.54521i
\(612\) 37.7436 78.0986i 1.52570 3.15695i
\(613\) 14.0778 43.3269i 0.568596 1.74996i −0.0884219 0.996083i \(-0.528182\pi\)
0.657018 0.753875i \(-0.271818\pi\)
\(614\) 33.2083 + 7.05865i 1.34018 + 0.284864i
\(615\) 2.61577 15.5622i 0.105478 0.627528i
\(616\) −3.49560 + 0.743013i −0.140842 + 0.0299368i
\(617\) 2.02983 19.3126i 0.0817179 0.777494i −0.874537 0.484959i \(-0.838834\pi\)
0.956255 0.292535i \(-0.0944989\pi\)
\(618\) 58.7288 28.7750i 2.36242 1.15750i
\(619\) 24.9267 11.0981i 1.00189 0.446070i 0.160812 0.986985i \(-0.448589\pi\)
0.841077 + 0.540915i \(0.181922\pi\)
\(620\) −5.75189 + 13.1377i −0.231001 + 0.527623i
\(621\) −12.6321 + 17.5856i −0.506909 + 0.705686i
\(622\) 1.92026 1.39515i 0.0769953 0.0559404i
\(623\) 12.1675 + 2.58629i 0.487482 + 0.103618i
\(624\) −39.2968 + 19.2540i −1.57313 + 0.770776i
\(625\) 22.5793 10.7320i 0.903171 0.429281i
\(626\) −14.8896 25.7896i −0.595109 1.03076i
\(627\) −4.49891 + 1.13031i −0.179669 + 0.0451404i
\(628\) 0.243482 + 2.31658i 0.00971601 + 0.0924416i
\(629\) 41.2378 29.9610i 1.64426 1.19462i
\(630\) −21.4774 0.539215i −0.855681 0.0214828i
\(631\) 12.6772 + 9.21053i 0.504672 + 0.366665i 0.810799 0.585325i \(-0.199033\pi\)
−0.306127 + 0.951991i \(0.599033\pi\)
\(632\) −9.29310 + 16.0961i −0.369660 + 0.640269i
\(633\) 8.61562 + 23.5392i 0.342440 + 0.935601i
\(634\) 5.48667 1.16623i 0.217903 0.0463168i
\(635\) −12.2003 26.9511i −0.484154 1.06952i
\(636\) 5.41643 19.0185i 0.214775 0.754133i
\(637\) −17.8116 19.7818i −0.705723 0.783785i
\(638\) −2.73215 + 8.40869i −0.108167 + 0.332903i
\(639\) −4.66702 1.67965i −0.184625 0.0664458i
\(640\) 8.46913 + 38.6631i 0.334772 + 1.52829i
\(641\) 23.6349 + 26.2493i 0.933524 + 1.03678i 0.999241 + 0.0389455i \(0.0123999\pi\)
−0.0657170 + 0.997838i \(0.520933\pi\)
\(642\) −29.5285 + 35.3197i −1.16540 + 1.39396i
\(643\) 5.45444 + 9.44736i 0.215102 + 0.372567i 0.953304 0.302012i \(-0.0976583\pi\)
−0.738202 + 0.674580i \(0.764325\pi\)
\(644\) −2.34292 + 22.2914i −0.0923240 + 0.878404i
\(645\) 10.0381 + 12.6384i 0.395251 + 0.497636i
\(646\) −9.38440 89.2866i −0.369224 3.51293i
\(647\) −28.4306 + 20.6560i −1.11772 + 0.812072i −0.983862 0.178928i \(-0.942737\pi\)
−0.133860 + 0.991000i \(0.542737\pi\)
\(648\) −41.0164 + 26.0426i −1.61128 + 1.02305i
\(649\) 1.57119 0.0616748
\(650\) −60.4258 + 13.6297i −2.37010 + 0.534600i
\(651\) 3.08173 1.50994i 0.120783 0.0591791i
\(652\) −48.3802 + 53.7317i −1.89472 + 2.10429i
\(653\) −11.5270 5.13214i −0.451086 0.200836i 0.168603 0.985684i \(-0.446074\pi\)
−0.619689 + 0.784848i \(0.712741\pi\)
\(654\) 30.4010 + 48.4574i 1.18877 + 1.89483i
\(655\) −0.139100 22.4197i −0.00543509 0.876011i
\(656\) −16.7018 12.1346i −0.652097 0.473776i
\(657\) −16.2149 + 20.9089i −0.632604 + 0.815734i
\(658\) −20.8682 15.1616i −0.813527 0.591062i
\(659\) −11.9432 13.2643i −0.465242 0.516703i 0.464171 0.885746i \(-0.346352\pi\)
−0.929413 + 0.369043i \(0.879686\pi\)
\(660\) −7.00302 + 4.45431i −0.272592 + 0.173384i
\(661\) 24.5369 27.2510i 0.954375 1.05994i −0.0437689 0.999042i \(-0.513937\pi\)
0.998144 0.0608991i \(-0.0193968\pi\)
\(662\) 32.5727 6.92354i 1.26597 0.269091i
\(663\) −47.0913 + 36.9285i −1.82887 + 1.43418i
\(664\) 77.5235 + 16.4781i 3.00850 + 0.639476i
\(665\) −12.9711 + 7.59656i −0.502998 + 0.294582i
\(666\) −54.6835 + 4.02180i −2.11894 + 0.155842i
\(667\) 23.3603 + 16.9723i 0.904516 + 0.657169i
\(668\) 13.6786 23.6920i 0.529240 0.916670i
\(669\) 20.7198 24.7834i 0.801075 0.958182i
\(670\) −0.509880 + 2.47418i −0.0196984 + 0.0955859i
\(671\) −3.44239 1.53265i −0.132892 0.0591674i
\(672\) −1.87166 + 3.53542i −0.0722008 + 0.136382i
\(673\) −20.3716 4.33013i −0.785269 0.166914i −0.202208 0.979343i \(-0.564812\pi\)
−0.583061 + 0.812428i \(0.698145\pi\)
\(674\) −29.9258 −1.15270
\(675\) −24.5623 + 8.46729i −0.945402 + 0.325906i
\(676\) 49.5070 1.90411
\(677\) −6.76634 1.43823i −0.260052 0.0552757i 0.0760407 0.997105i \(-0.475772\pi\)
−0.336092 + 0.941829i \(0.609105\pi\)
\(678\) 19.1749 36.2199i 0.736408 1.39102i
\(679\) 9.49631 + 4.22803i 0.364435 + 0.162257i
\(680\) −34.4936 76.1980i −1.32277 2.92206i
\(681\) −18.8947 + 22.6003i −0.724046 + 0.866046i
\(682\) 0.980570 1.69840i 0.0375480 0.0650350i
\(683\) 25.6445 + 18.6318i 0.981258 + 0.712926i 0.957989 0.286803i \(-0.0925926\pi\)
0.0232689 + 0.999729i \(0.492593\pi\)
\(684\) −28.4072 + 58.7797i −1.08618 + 2.24750i
\(685\) −17.6611 15.7048i −0.674796 0.600050i
\(686\) −38.6522 8.21577i −1.47575 0.313680i
\(687\) −29.6744 + 23.2703i −1.13215 + 0.887819i
\(688\) 20.6532 4.38998i 0.787398 0.167367i
\(689\) −9.12892 + 10.1387i −0.347784 + 0.386253i
\(690\) 10.0114 + 38.8269i 0.381128 + 1.47811i
\(691\) −2.74243 3.04578i −0.104327 0.115867i 0.688720 0.725028i \(-0.258173\pi\)
−0.793047 + 0.609161i \(0.791506\pi\)
\(692\) 3.62934 + 2.63687i 0.137967 + 0.100239i
\(693\) 1.96763 + 0.269310i 0.0747440 + 0.0102302i
\(694\) 1.40496 + 1.02077i 0.0533317 + 0.0387478i
\(695\) −0.775101 + 1.08087i −0.0294012 + 0.0409999i
\(696\) 34.4337 + 54.8852i 1.30520 + 2.08042i
\(697\) −25.7916 11.4832i −0.976926 0.434956i
\(698\) 28.7811 31.9646i 1.08938 1.20988i
\(699\) −14.6144 + 7.16051i −0.552766 + 0.270835i
\(700\) −17.7468 + 20.2086i −0.670767 + 0.763813i
\(701\) 1.75231 0.0661838 0.0330919 0.999452i \(-0.489465\pi\)
0.0330919 + 0.999452i \(0.489465\pi\)
\(702\) 63.9841 7.07467i 2.41492 0.267016i
\(703\) −31.0370 + 22.5497i −1.17058 + 0.850479i
\(704\) −0.305017 2.90205i −0.0114958 0.109375i
\(705\) −30.0527 8.35771i −1.13185 0.314770i
\(706\) −1.37129 + 13.0470i −0.0516092 + 0.491029i
\(707\) −10.0585 17.4218i −0.378287 0.655213i
\(708\) 14.1831 16.9648i 0.533035 0.637575i
\(709\) −17.0356 18.9200i −0.639787 0.710556i 0.332825 0.942989i \(-0.391998\pi\)
−0.972612 + 0.232433i \(0.925331\pi\)
\(710\) −7.92606 + 4.64192i −0.297460 + 0.174208i
\(711\) 7.88830 6.66763i 0.295835 0.250056i
\(712\) 16.0981 49.5449i 0.603303 1.85677i
\(713\) −4.28567 4.75972i −0.160500 0.178253i
\(714\) −10.5280 + 36.9667i −0.394002 + 1.38345i
\(715\) 5.69083 0.633852i 0.212825 0.0237047i
\(716\) 76.8874 16.3429i 2.87342 0.610763i
\(717\) −2.92535 7.99254i −0.109249 0.298487i
\(718\) 1.34655 2.33230i 0.0502530 0.0870407i
\(719\) 9.49736 + 6.90024i 0.354192 + 0.257335i 0.750625 0.660728i \(-0.229752\pi\)
−0.396434 + 0.918063i \(0.629752\pi\)
\(720\) −4.40008 + 33.7029i −0.163981 + 1.25603i
\(721\) −15.8489 + 11.5149i −0.590244 + 0.428838i
\(722\) 2.12868 + 20.2530i 0.0792213 + 0.753740i
\(723\) −13.4161 + 3.37069i −0.498952 + 0.125357i
\(724\) −30.0825 52.1045i −1.11801 1.93645i
\(725\) 11.1146 + 32.8161i 0.412787 + 1.21876i
\(726\) −41.4891 + 20.3281i −1.53980 + 0.754448i
\(727\) −19.9336 4.23701i −0.739295 0.157142i −0.177154 0.984183i \(-0.556689\pi\)
−0.562141 + 0.827041i \(0.690022\pi\)
\(728\) 28.0725 20.3958i 1.04043 0.755920i
\(729\) 26.3478 5.89862i 0.975844 0.218468i
\(730\) 10.4846 + 47.8641i 0.388054 + 1.77153i
\(731\) 26.3788 11.7446i 0.975656 0.434390i
\(732\) −47.6230 + 23.3335i −1.76020 + 0.862432i
\(733\) 4.53737 43.1702i 0.167592 1.59453i −0.510716 0.859749i \(-0.670620\pi\)
0.678308 0.734778i \(-0.262714\pi\)
\(734\) 75.9032 16.1337i 2.80164 0.595506i
\(735\) −20.4504 + 3.04125i −0.754325 + 0.112178i
\(736\) 7.30275 + 1.55225i 0.269183 + 0.0572166i
\(737\) 0.0721606 0.222087i 0.00265807 0.00818069i
\(738\) 17.0730 + 25.1162i 0.628466 + 0.924539i
\(739\) −2.42742 7.47084i −0.0892942 0.274819i 0.896431 0.443184i \(-0.146151\pi\)
−0.985725 + 0.168365i \(0.946151\pi\)
\(740\) −40.0005 + 55.7805i −1.47045 + 2.05053i
\(741\) 35.4425 27.7937i 1.30201 1.02103i
\(742\) −0.915943 + 8.71462i −0.0336253 + 0.319924i
\(743\) −16.6131 28.7747i −0.609475 1.05564i −0.991327 0.131418i \(-0.958047\pi\)
0.381852 0.924223i \(-0.375286\pi\)
\(744\) −4.93976 13.4962i −0.181100 0.494795i
\(745\) 2.69458 + 3.66079i 0.0987218 + 0.134121i
\(746\) −0.496906 + 0.361023i −0.0181930 + 0.0132180i
\(747\) −37.4351 23.2050i −1.36968 0.849027i
\(748\) 4.58845 + 14.1218i 0.167770 + 0.516344i
\(749\) 6.89519 11.9428i 0.251945 0.436381i
\(750\) −17.1089 + 44.9677i −0.624729 + 1.64199i
\(751\) −16.9328 29.3284i −0.617886 1.07021i −0.989871 0.141971i \(-0.954656\pi\)
0.371985 0.928239i \(-0.378677\pi\)
\(752\) −27.3059 + 30.3263i −0.995745 + 1.10589i
\(753\) 17.4315 32.9268i 0.635239 1.19992i
\(754\) −8.97350 85.3772i −0.326796 3.10925i
\(755\) 3.77306 8.61794i 0.137316 0.313639i
\(756\) 20.6696 18.8142i 0.751745 0.684264i
\(757\) −9.25569 −0.336404 −0.168202 0.985753i \(-0.553796\pi\)
−0.168202 + 0.985753i \(0.553796\pi\)
\(758\) 50.7030 22.5744i 1.84162 0.819940i
\(759\) −0.522454 3.66950i −0.0189639 0.133194i
\(760\) 25.9611 + 57.3493i 0.941707 + 2.08028i
\(761\) 10.3134 11.4542i 0.373861 0.415214i −0.526627 0.850097i \(-0.676543\pi\)
0.900487 + 0.434882i \(0.143210\pi\)
\(762\) 52.8267 + 21.2328i 1.91371 + 0.769183i
\(763\) −11.4659 12.7342i −0.415094 0.461008i
\(764\) −23.8752 73.4802i −0.863773 2.65842i
\(765\) 3.69689 + 46.3341i 0.133661 + 1.67521i
\(766\) −20.3600 + 62.6615i −0.735636 + 2.26405i
\(767\) −13.9369 + 6.20510i −0.503232 + 0.224053i
\(768\) −46.8873 31.5032i −1.69190 1.13677i
\(769\) −1.77895 + 16.9256i −0.0641505 + 0.610351i 0.914467 + 0.404661i \(0.132611\pi\)
−0.978617 + 0.205690i \(0.934056\pi\)
\(770\) 2.71776 2.47779i 0.0979413 0.0892932i
\(771\) 16.6412 0.611127i