Properties

Label 441.2.bn.a.5.1
Level $441$
Weight $2$
Character 441.5
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.bn (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 5.1
Character \(\chi\) \(=\) 441.5
Dual form 441.2.bn.a.353.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.16353 + 1.72536i) q^{2} +(0.581018 - 1.63169i) q^{3} +(1.25896 - 5.51585i) q^{4} +(2.91211 + 1.98544i) q^{5} +(1.55820 + 4.53267i) q^{6} +(-2.07232 + 1.64484i) q^{7} +(4.39168 + 9.11943i) q^{8} +(-2.32484 - 1.89608i) q^{9} +O(q^{10})\) \(q+(-2.16353 + 1.72536i) q^{2} +(0.581018 - 1.63169i) q^{3} +(1.25896 - 5.51585i) q^{4} +(2.91211 + 1.98544i) q^{5} +(1.55820 + 4.53267i) q^{6} +(-2.07232 + 1.64484i) q^{7} +(4.39168 + 9.11943i) q^{8} +(-2.32484 - 1.89608i) q^{9} +(-9.72603 + 0.728865i) q^{10} +(0.128415 + 0.851980i) q^{11} +(-8.26869 - 5.25904i) q^{12} +(0.596855 + 3.95988i) q^{13} +(1.64559 - 7.13414i) q^{14} +(4.93162 - 3.59809i) q^{15} +(-15.0410 - 7.24334i) q^{16} +(-1.51858 + 1.40904i) q^{17} +(8.30127 + 0.0910620i) q^{18} +(1.72443 + 0.995602i) q^{19} +(14.6176 - 13.5632i) q^{20} +(1.47982 + 4.33707i) q^{21} +(-1.74780 - 1.62172i) q^{22} +(0.379891 + 1.23158i) q^{23} +(17.4317 - 1.86732i) q^{24} +(2.71170 + 6.90930i) q^{25} +(-8.12351 - 7.53751i) q^{26} +(-4.44460 + 2.69176i) q^{27} +(6.46373 + 13.5014i) q^{28} +(6.03902 + 6.50852i) q^{29} +(-4.46171 + 16.2934i) q^{30} -2.77807i q^{31} +(25.3028 - 5.77520i) q^{32} +(1.46478 + 0.285482i) q^{33} +(0.854403 - 5.66859i) q^{34} +(-9.30056 + 0.675481i) q^{35} +(-13.3854 + 10.4364i) q^{36} +(1.25748 + 0.387883i) q^{37} +(-5.44863 + 0.821249i) q^{38} +(6.80808 + 1.32688i) q^{39} +(-5.31704 + 35.2762i) q^{40} +(0.381381 - 5.08918i) q^{41} +(-10.6846 - 6.83016i) q^{42} +(-0.323102 - 4.31150i) q^{43} +(4.86107 + 0.364287i) q^{44} +(-3.00561 - 10.1374i) q^{45} +(-2.94681 - 2.00910i) q^{46} +(2.93124 + 3.67566i) q^{47} +(-20.5580 + 20.3337i) q^{48} +(1.58901 - 6.81726i) q^{49} +(-17.7878 - 10.2698i) q^{50} +(1.41679 + 3.29654i) q^{51} +(22.5935 + 1.69315i) q^{52} +(3.02776 + 9.81577i) q^{53} +(4.97177 - 13.4922i) q^{54} +(-1.31760 + 2.73602i) q^{55} +(-24.1010 - 11.6747i) q^{56} +(2.62644 - 2.23528i) q^{57} +(-24.2951 - 3.66190i) q^{58} +(-3.49996 - 1.68549i) q^{59} +(-13.6378 - 31.7319i) q^{60} +(-3.17006 + 0.723546i) q^{61} +(4.79316 + 6.01043i) q^{62} +(7.93656 + 0.105311i) q^{63} +(-23.9617 + 30.0470i) q^{64} +(-6.12400 + 12.7166i) q^{65} +(-3.66165 + 1.90962i) q^{66} -6.59999 q^{67} +(5.86022 + 10.1502i) q^{68} +(2.23028 + 0.0957030i) q^{69} +(18.9566 - 17.5082i) q^{70} +(-0.0685634 - 0.0156491i) q^{71} +(7.08126 - 29.5282i) q^{72} +(-0.591066 + 3.92147i) q^{73} +(-3.38984 + 1.33041i) q^{74} +(12.8494 - 0.410232i) q^{75} +(7.66258 - 8.25830i) q^{76} +(-1.66749 - 1.55435i) q^{77} +(-17.0188 + 8.87563i) q^{78} +8.89768 q^{79} +(-29.4197 - 50.9564i) q^{80} +(1.80973 + 8.81617i) q^{81} +(7.95552 + 11.6686i) q^{82} +(11.9963 + 1.80816i) q^{83} +(25.7856 - 2.70226i) q^{84} +(-7.21985 + 1.08822i) q^{85} +(8.13790 + 8.77057i) q^{86} +(14.1287 - 6.07226i) q^{87} +(-7.20561 + 4.91270i) q^{88} +(-0.985077 - 2.50994i) q^{89} +(23.9934 + 16.7469i) q^{90} +(-7.75023 - 7.22440i) q^{91} +(7.27146 - 0.544920i) q^{92} +(-4.53295 - 1.61411i) q^{93} +(-12.6836 - 2.89496i) q^{94} +(3.04503 + 6.32307i) q^{95} +(5.27804 - 44.6419i) q^{96} +(0.845508 - 0.488154i) q^{97} +(8.32433 + 17.4909i) q^{98} +(1.31688 - 2.22420i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 21 q^{2} - 11 q^{3} + 99 q^{4} - 18 q^{5} - 34 q^{6} - 5 q^{7} - 23 q^{9} + O(q^{10}) \) \( 648 q - 21 q^{2} - 11 q^{3} + 99 q^{4} - 18 q^{5} - 34 q^{6} - 5 q^{7} - 23 q^{9} - 22 q^{10} - 18 q^{11} - 72 q^{12} - 4 q^{13} + 66 q^{14} - 10 q^{15} - 105 q^{16} - 9 q^{17} - 27 q^{18} - 36 q^{19} - 27 q^{20} - 11 q^{21} - 9 q^{22} - 27 q^{23} - 8 q^{24} + 38 q^{25} + 6 q^{26} - 29 q^{27} - 26 q^{28} + 3 q^{29} - 16 q^{30} - 21 q^{32} - 11 q^{33} - 13 q^{34} + 28 q^{36} - 13 q^{37} - 90 q^{38} - 15 q^{39} - 31 q^{40} - 27 q^{41} - 4 q^{42} - 9 q^{43} + 51 q^{44} - 11 q^{45} - 108 q^{46} + 75 q^{47} - 15 q^{48} - 13 q^{49} - 45 q^{50} - 38 q^{51} + 64 q^{52} - 12 q^{53} - 41 q^{54} + 14 q^{55} + 3 q^{56} - 7 q^{57} - 90 q^{58} + 15 q^{59} - 69 q^{60} - 56 q^{61} + 66 q^{62} + 13 q^{63} + 64 q^{64} - 21 q^{65} - 204 q^{66} - 26 q^{67} + 3 q^{68} + 58 q^{69} - 22 q^{70} - 63 q^{71} - 18 q^{72} - 22 q^{73} - 12 q^{74} + 118 q^{75} - 63 q^{76} - 69 q^{77} - 147 q^{78} - 2 q^{79} - 45 q^{80} + 29 q^{81} - 28 q^{82} - 51 q^{83} - 31 q^{84} - 10 q^{85} - 72 q^{86} - 67 q^{87} + 4 q^{88} + 132 q^{89} + 58 q^{90} - 13 q^{91} - 15 q^{92} + 217 q^{93} - 7 q^{94} - 21 q^{95} - 44 q^{96} + 3 q^{97} + 21 q^{98} - 148 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{29}{42}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.16353 + 1.72536i −1.52984 + 1.22001i −0.635953 + 0.771728i \(0.719393\pi\)
−0.893892 + 0.448283i \(0.852036\pi\)
\(3\) 0.581018 1.63169i 0.335451 0.942058i
\(4\) 1.25896 5.51585i 0.629479 2.75793i
\(5\) 2.91211 + 1.98544i 1.30234 + 0.887917i 0.997910 0.0646186i \(-0.0205831\pi\)
0.304426 + 0.952536i \(0.401535\pi\)
\(6\) 1.55820 + 4.53267i 0.636133 + 1.85046i
\(7\) −2.07232 + 1.64484i −0.783263 + 0.621691i
\(8\) 4.39168 + 9.11943i 1.55269 + 3.22420i
\(9\) −2.32484 1.89608i −0.774945 0.632028i
\(10\) −9.72603 + 0.728865i −3.07564 + 0.230487i
\(11\) 0.128415 + 0.851980i 0.0387187 + 0.256882i 0.999813 0.0193387i \(-0.00615609\pi\)
−0.961094 + 0.276220i \(0.910918\pi\)
\(12\) −8.26869 5.25904i −2.38697 1.51815i
\(13\) 0.596855 + 3.95988i 0.165538 + 1.09827i 0.905105 + 0.425189i \(0.139792\pi\)
−0.739567 + 0.673083i \(0.764970\pi\)
\(14\) 1.64559 7.13414i 0.439802 1.90668i
\(15\) 4.93162 3.59809i 1.27334 0.929023i
\(16\) −15.0410 7.24334i −3.76024 1.81084i
\(17\) −1.51858 + 1.40904i −0.368311 + 0.341742i −0.842515 0.538672i \(-0.818926\pi\)
0.474205 + 0.880415i \(0.342736\pi\)
\(18\) 8.30127 + 0.0910620i 1.95663 + 0.0214635i
\(19\) 1.72443 + 0.995602i 0.395612 + 0.228407i 0.684589 0.728929i \(-0.259982\pi\)
−0.288977 + 0.957336i \(0.593315\pi\)
\(20\) 14.6176 13.5632i 3.26860 3.03282i
\(21\) 1.47982 + 4.33707i 0.322922 + 0.946426i
\(22\) −1.74780 1.62172i −0.372632 0.345752i
\(23\) 0.379891 + 1.23158i 0.0792127 + 0.256801i 0.986513 0.163681i \(-0.0523369\pi\)
−0.907301 + 0.420483i \(0.861861\pi\)
\(24\) 17.4317 1.86732i 3.55824 0.381166i
\(25\) 2.71170 + 6.90930i 0.542340 + 1.38186i
\(26\) −8.12351 7.53751i −1.59315 1.47823i
\(27\) −4.44460 + 2.69176i −0.855363 + 0.518029i
\(28\) 6.46373 + 13.5014i 1.22153 + 2.55152i
\(29\) 6.03902 + 6.50852i 1.12142 + 1.20860i 0.975662 + 0.219281i \(0.0703712\pi\)
0.145757 + 0.989320i \(0.453438\pi\)
\(30\) −4.46171 + 16.2934i −0.814594 + 2.97475i
\(31\) 2.77807i 0.498956i −0.968380 0.249478i \(-0.919741\pi\)
0.968380 0.249478i \(-0.0802590\pi\)
\(32\) 25.3028 5.77520i 4.47295 1.02092i
\(33\) 1.46478 + 0.285482i 0.254986 + 0.0496960i
\(34\) 0.854403 5.66859i 0.146529 0.972155i
\(35\) −9.30056 + 0.675481i −1.57208 + 0.114177i
\(36\) −13.3854 + 10.4364i −2.23090 + 1.73939i
\(37\) 1.25748 + 0.387883i 0.206729 + 0.0637675i 0.396390 0.918082i \(-0.370263\pi\)
−0.189661 + 0.981850i \(0.560739\pi\)
\(38\) −5.44863 + 0.821249i −0.883884 + 0.133224i
\(39\) 6.80808 + 1.32688i 1.09017 + 0.212470i
\(40\) −5.31704 + 35.2762i −0.840697 + 5.57766i
\(41\) 0.381381 5.08918i 0.0595618 0.794797i −0.884817 0.465938i \(-0.845717\pi\)
0.944379 0.328859i \(-0.106664\pi\)
\(42\) −10.6846 6.83016i −1.64867 1.05392i
\(43\) −0.323102 4.31150i −0.0492726 0.657497i −0.966093 0.258196i \(-0.916872\pi\)
0.916820 0.399301i \(-0.130747\pi\)
\(44\) 4.86107 + 0.364287i 0.732834 + 0.0549183i
\(45\) −3.00561 10.1374i −0.448050 1.51120i
\(46\) −2.94681 2.00910i −0.434484 0.296226i
\(47\) 2.93124 + 3.67566i 0.427566 + 0.536150i 0.948219 0.317618i \(-0.102883\pi\)
−0.520653 + 0.853768i \(0.674311\pi\)
\(48\) −20.5580 + 20.3337i −2.96729 + 2.93491i
\(49\) 1.58901 6.81726i 0.227002 0.973894i
\(50\) −17.7878 10.2698i −2.51558 1.45237i
\(51\) 1.41679 + 3.29654i 0.198391 + 0.461607i
\(52\) 22.5935 + 1.69315i 3.13316 + 0.234798i
\(53\) 3.02776 + 9.81577i 0.415895 + 1.34830i 0.885178 + 0.465252i \(0.154036\pi\)
−0.469283 + 0.883048i \(0.655488\pi\)
\(54\) 4.97177 13.4922i 0.676572 1.83606i
\(55\) −1.31760 + 2.73602i −0.177665 + 0.368925i
\(56\) −24.1010 11.6747i −3.22063 1.56010i
\(57\) 2.62644 2.23528i 0.347881 0.296070i
\(58\) −24.2951 3.66190i −3.19010 0.480831i
\(59\) −3.49996 1.68549i −0.455656 0.219432i 0.191955 0.981404i \(-0.438517\pi\)
−0.647611 + 0.761972i \(0.724232\pi\)
\(60\) −13.6378 31.7319i −1.76064 4.09658i
\(61\) −3.17006 + 0.723546i −0.405885 + 0.0926406i −0.420589 0.907251i \(-0.638177\pi\)
0.0147041 + 0.999892i \(0.495319\pi\)
\(62\) 4.79316 + 6.01043i 0.608731 + 0.763325i
\(63\) 7.93656 + 0.105311i 0.999912 + 0.0132680i
\(64\) −23.9617 + 30.0470i −2.99521 + 3.75588i
\(65\) −6.12400 + 12.7166i −0.759589 + 1.57730i
\(66\) −3.66165 + 1.90962i −0.450718 + 0.235058i
\(67\) −6.59999 −0.806317 −0.403159 0.915130i \(-0.632088\pi\)
−0.403159 + 0.915130i \(0.632088\pi\)
\(68\) 5.86022 + 10.1502i 0.710656 + 1.23089i
\(69\) 2.23028 + 0.0957030i 0.268494 + 0.0115213i
\(70\) 18.9566 17.5082i 2.26574 2.09263i
\(71\) −0.0685634 0.0156491i −0.00813698 0.00185721i 0.218451 0.975848i \(-0.429900\pi\)
−0.226587 + 0.973991i \(0.572757\pi\)
\(72\) 7.08126 29.5282i 0.834534 3.47993i
\(73\) −0.591066 + 3.92147i −0.0691790 + 0.458973i 0.927243 + 0.374459i \(0.122172\pi\)
−0.996422 + 0.0845135i \(0.973066\pi\)
\(74\) −3.38984 + 1.33041i −0.394061 + 0.154657i
\(75\) 12.8494 0.410232i 1.48372 0.0473695i
\(76\) 7.66258 8.25830i 0.878959 0.947292i
\(77\) −1.66749 1.55435i −0.190028 0.177135i
\(78\) −17.0188 + 8.87563i −1.92700 + 1.00497i
\(79\) 8.89768 1.00107 0.500534 0.865717i \(-0.333137\pi\)
0.500534 + 0.865717i \(0.333137\pi\)
\(80\) −29.4197 50.9564i −3.28922 5.69710i
\(81\) 1.80973 + 8.81617i 0.201081 + 0.979575i
\(82\) 7.95552 + 11.6686i 0.878540 + 1.28858i
\(83\) 11.9963 + 1.80816i 1.31677 + 0.198471i 0.769587 0.638542i \(-0.220462\pi\)
0.547183 + 0.837013i \(0.315700\pi\)
\(84\) 25.7856 2.70226i 2.81344 0.294841i
\(85\) −7.21985 + 1.08822i −0.783103 + 0.118034i
\(86\) 8.13790 + 8.77057i 0.877533 + 0.945755i
\(87\) 14.1287 6.07226i 1.51475 0.651014i
\(88\) −7.20561 + 4.91270i −0.768121 + 0.523696i
\(89\) −0.985077 2.50994i −0.104418 0.266053i 0.869111 0.494618i \(-0.164692\pi\)
−0.973529 + 0.228565i \(0.926597\pi\)
\(90\) 23.9934 + 16.7469i 2.52913 + 1.76528i
\(91\) −7.75023 7.22440i −0.812445 0.757323i
\(92\) 7.27146 0.544920i 0.758102 0.0568119i
\(93\) −4.53295 1.61411i −0.470045 0.167375i
\(94\) −12.6836 2.89496i −1.30822 0.298592i
\(95\) 3.04503 + 6.32307i 0.312414 + 0.648733i
\(96\) 5.27804 44.6419i 0.538687 4.55624i
\(97\) 0.845508 0.488154i 0.0858484 0.0495646i −0.456461 0.889743i \(-0.650883\pi\)
0.542310 + 0.840179i \(0.317550\pi\)
\(98\) 8.32433 + 17.4909i 0.840884 + 1.76685i
\(99\) 1.31688 2.22420i 0.132352 0.223541i
\(100\) 41.5246 6.25882i 4.15246 0.625882i
\(101\) −1.31684 + 17.5721i −0.131031 + 1.74849i 0.414188 + 0.910191i \(0.364066\pi\)
−0.545219 + 0.838294i \(0.683553\pi\)
\(102\) −8.75297 4.68768i −0.866673 0.464149i
\(103\) 8.01419 11.7547i 0.789662 1.15822i −0.194492 0.980904i \(-0.562306\pi\)
0.984154 0.177317i \(-0.0567418\pi\)
\(104\) −33.4906 + 22.8335i −3.28402 + 2.23901i
\(105\) −4.30162 + 15.5681i −0.419795 + 1.51929i
\(106\) −23.4863 16.0127i −2.28120 1.55529i
\(107\) −5.58628 + 2.19245i −0.540046 + 0.211952i −0.619656 0.784874i \(-0.712728\pi\)
0.0796098 + 0.996826i \(0.474633\pi\)
\(108\) 9.25178 + 27.9046i 0.890252 + 2.68512i
\(109\) 2.78226 7.08909i 0.266492 0.679011i −0.733507 0.679681i \(-0.762118\pi\)
1.00000 0.000670074i \(0.000213291\pi\)
\(110\) −1.86995 8.19279i −0.178293 0.781152i
\(111\) 1.36353 1.82646i 0.129420 0.173360i
\(112\) 43.0838 9.72943i 4.07103 0.919345i
\(113\) 2.91338 1.14342i 0.274068 0.107564i −0.224327 0.974514i \(-0.572018\pi\)
0.498395 + 0.866950i \(0.333923\pi\)
\(114\) −1.82573 + 9.36764i −0.170995 + 0.877360i
\(115\) −1.33894 + 4.34074i −0.124857 + 0.404776i
\(116\) 43.5029 25.1164i 4.03914 2.33200i
\(117\) 6.12067 10.3378i 0.565856 0.955726i
\(118\) 10.4803 2.39207i 0.964792 0.220208i
\(119\) 0.829346 5.41780i 0.0760260 0.496649i
\(120\) 54.4706 + 29.1719i 4.97247 + 2.66302i
\(121\) 9.80192 3.02349i 0.891084 0.274863i
\(122\) 5.61014 7.03490i 0.507918 0.636909i
\(123\) −8.08239 3.57920i −0.728764 0.322726i
\(124\) −15.3234 3.49747i −1.37608 0.314082i
\(125\) −1.89983 + 8.32371i −0.169926 + 0.744495i
\(126\) −17.3527 + 13.4655i −1.54590 + 1.19961i
\(127\) −2.64006 11.5669i −0.234268 1.02639i −0.946057 0.324001i \(-0.894972\pi\)
0.711789 0.702393i \(-0.247885\pi\)
\(128\) 54.4430i 4.81213i
\(129\) −7.22276 1.97785i −0.635928 0.174140i
\(130\) −8.69125 38.0788i −0.762273 3.33974i
\(131\) −0.947259 12.6403i −0.0827624 1.10439i −0.871741 0.489967i \(-0.837009\pi\)
0.788978 0.614421i \(-0.210610\pi\)
\(132\) 3.41877 7.72011i 0.297566 0.671949i
\(133\) −5.21118 + 0.773210i −0.451867 + 0.0670458i
\(134\) 14.2793 11.3873i 1.23354 0.983716i
\(135\) −18.2875 0.985803i −1.57394 0.0848444i
\(136\) −19.5188 7.66055i −1.67372 0.656887i
\(137\) −5.91368 8.67378i −0.505240 0.741051i 0.485879 0.874026i \(-0.338499\pi\)
−0.991119 + 0.132975i \(0.957547\pi\)
\(138\) −4.99038 + 3.64096i −0.424810 + 0.309939i
\(139\) −19.5348 1.46393i −1.65692 0.124169i −0.786863 0.617127i \(-0.788296\pi\)
−0.870053 + 0.492959i \(0.835915\pi\)
\(140\) −7.98315 + 52.1509i −0.674700 + 4.40756i
\(141\) 7.70065 2.64726i 0.648512 0.222939i
\(142\) 0.175339 0.0844389i 0.0147141 0.00708595i
\(143\) −3.29709 + 1.01702i −0.275717 + 0.0850473i
\(144\) 21.2338 + 45.3585i 1.76948 + 3.77987i
\(145\) 4.66401 + 30.9437i 0.387325 + 2.56973i
\(146\) −5.48714 9.50400i −0.454119 0.786556i
\(147\) −10.2004 6.55373i −0.841317 0.540542i
\(148\) 3.72262 6.44777i 0.305998 0.530004i
\(149\) −17.1543 6.73256i −1.40533 0.551553i −0.463039 0.886338i \(-0.653241\pi\)
−0.942294 + 0.334785i \(0.891336\pi\)
\(150\) −27.0922 + 23.0573i −2.21207 + 1.88262i
\(151\) −2.72313 2.52669i −0.221605 0.205619i 0.561556 0.827439i \(-0.310203\pi\)
−0.783160 + 0.621820i \(0.786394\pi\)
\(152\) −1.50615 + 20.0982i −0.122165 + 1.63018i
\(153\) 6.20211 0.396423i 0.501411 0.0320489i
\(154\) 6.28947 + 0.485875i 0.506820 + 0.0391529i
\(155\) 5.51570 8.09004i 0.443032 0.649808i
\(156\) 15.8899 35.8819i 1.27221 2.87285i
\(157\) −4.70123 + 9.76221i −0.375199 + 0.779109i −0.999999 0.00167623i \(-0.999466\pi\)
0.624799 + 0.780785i \(0.285181\pi\)
\(158\) −19.2504 + 15.3517i −1.53148 + 1.22131i
\(159\) 17.7755 + 0.762761i 1.40969 + 0.0604909i
\(160\) 85.1509 + 33.4193i 6.73177 + 2.64203i
\(161\) −2.81300 1.92736i −0.221695 0.151897i
\(162\) −19.1264 15.9516i −1.50271 1.25328i
\(163\) 12.0153 8.19188i 0.941109 0.641637i 0.00751588 0.999972i \(-0.497608\pi\)
0.933593 + 0.358334i \(0.116655\pi\)
\(164\) −27.5910 8.51071i −2.15450 0.664575i
\(165\) 3.69880 + 3.73959i 0.287951 + 0.291127i
\(166\) −29.0741 + 16.7860i −2.25659 + 1.30284i
\(167\) 1.35423 + 0.417725i 0.104794 + 0.0323246i 0.346709 0.937973i \(-0.387299\pi\)
−0.241915 + 0.970297i \(0.577775\pi\)
\(168\) −33.0527 + 32.5421i −2.55007 + 2.51068i
\(169\) −2.90194 + 0.895130i −0.223226 + 0.0688562i
\(170\) 13.7428 14.8112i 1.05402 1.13597i
\(171\) −2.12128 5.58428i −0.162218 0.427041i
\(172\) −24.1883 3.64581i −1.84434 0.277990i
\(173\) 0.361434 1.58354i 0.0274793 0.120395i −0.959328 0.282294i \(-0.908905\pi\)
0.986807 + 0.161899i \(0.0517619\pi\)
\(174\) −20.0910 + 37.5145i −1.52309 + 2.84397i
\(175\) −16.9842 9.85796i −1.28388 0.745192i
\(176\) 4.23969 13.7448i 0.319579 1.03605i
\(177\) −4.78374 + 4.73155i −0.359568 + 0.355645i
\(178\) 6.46177 + 3.73071i 0.484330 + 0.279628i
\(179\) −12.8119 13.8079i −0.957603 1.03205i −0.999458 0.0329272i \(-0.989517\pi\)
0.0418544 0.999124i \(-0.486673\pi\)
\(180\) −59.7006 + 3.81591i −4.44982 + 0.284421i
\(181\) −2.30735 1.84005i −0.171504 0.136770i 0.533976 0.845500i \(-0.320697\pi\)
−0.705480 + 0.708730i \(0.749269\pi\)
\(182\) 29.2325 + 2.25827i 2.16686 + 0.167394i
\(183\) −0.661259 + 5.59296i −0.0488817 + 0.413443i
\(184\) −9.56290 + 8.87308i −0.704987 + 0.654132i
\(185\) 2.89182 + 3.62622i 0.212611 + 0.266605i
\(186\) 12.5921 4.32879i 0.923296 0.317402i
\(187\) −1.39548 1.11286i −0.102048 0.0813804i
\(188\) 23.9647 11.5408i 1.74781 0.841699i
\(189\) 4.78312 12.8888i 0.347921 0.937524i
\(190\) −17.4976 8.42638i −1.26941 0.611314i
\(191\) 3.55607 + 7.38425i 0.257308 + 0.534305i 0.989104 0.147218i \(-0.0470320\pi\)
−0.731796 + 0.681524i \(0.761318\pi\)
\(192\) 35.1053 + 56.5560i 2.53351 + 4.08158i
\(193\) 18.2812 8.80375i 1.31591 0.633708i 0.361545 0.932355i \(-0.382250\pi\)
0.954364 + 0.298647i \(0.0965352\pi\)
\(194\) −0.987040 + 2.51494i −0.0708654 + 0.180562i
\(195\) 17.1915 + 17.3811i 1.23111 + 1.24468i
\(196\) −35.6025 17.3474i −2.54304 1.23910i
\(197\) 14.9253i 1.06338i −0.846938 0.531691i \(-0.821557\pi\)
0.846938 0.531691i \(-0.178443\pi\)
\(198\) 0.988427 + 7.08421i 0.0702445 + 0.503453i
\(199\) 4.81377 7.06051i 0.341239 0.500506i −0.616809 0.787113i \(-0.711575\pi\)
0.958048 + 0.286607i \(0.0925273\pi\)
\(200\) −51.0999 + 55.0726i −3.61331 + 3.89422i
\(201\) −3.83471 + 10.7692i −0.270480 + 0.759598i
\(202\) −27.4690 40.2897i −1.93271 2.83477i
\(203\) −23.2202 3.55451i −1.62974 0.249478i
\(204\) 19.9669 3.66463i 1.39796 0.256575i
\(205\) 11.2149 14.0631i 0.783283 0.982206i
\(206\) 2.94205 + 39.2589i 0.204982 + 2.73529i
\(207\) 1.45199 3.58352i 0.100920 0.249072i
\(208\) 19.7055 63.8835i 1.36633 4.42953i
\(209\) −0.626790 + 1.59703i −0.0433560 + 0.110469i
\(210\) −17.5539 41.1039i −1.21133 2.83644i
\(211\) 2.55857 + 6.51913i 0.176139 + 0.448795i 0.991492 0.130169i \(-0.0415521\pi\)
−0.815353 + 0.578965i \(0.803457\pi\)
\(212\) 57.9542 4.34306i 3.98031 0.298283i
\(213\) −0.0653711 + 0.102782i −0.00447916 + 0.00704250i
\(214\) 8.30331 14.3818i 0.567602 0.983116i
\(215\) 7.61932 13.1971i 0.519633 0.900032i
\(216\) −44.0665 28.7108i −2.99835 1.95352i
\(217\) 4.56947 + 5.75704i 0.310196 + 0.390814i
\(218\) 6.21170 + 20.1378i 0.420709 + 1.36391i
\(219\) 6.05520 + 3.24288i 0.409173 + 0.219133i
\(220\) 13.4327 + 10.7122i 0.905632 + 0.722218i
\(221\) −6.48600 5.17241i −0.436295 0.347934i
\(222\) 0.201268 + 6.30416i 0.0135082 + 0.423108i
\(223\) −3.42111 11.0910i −0.229095 0.742706i −0.995011 0.0997660i \(-0.968191\pi\)
0.765916 0.642940i \(-0.222286\pi\)
\(224\) −42.9362 + 53.5871i −2.86880 + 3.58044i
\(225\) 6.79636 21.2046i 0.453090 1.41364i
\(226\) −4.33038 + 7.50044i −0.288052 + 0.498922i
\(227\) −0.436632 + 0.756269i −0.0289803 + 0.0501953i −0.880152 0.474692i \(-0.842559\pi\)
0.851172 + 0.524888i \(0.175893\pi\)
\(228\) −9.02290 17.3012i −0.597556 1.14580i
\(229\) 21.0207 1.57528i 1.38909 0.104098i 0.640920 0.767608i \(-0.278553\pi\)
0.748167 + 0.663510i \(0.230934\pi\)
\(230\) −4.59248 11.7015i −0.302819 0.771571i
\(231\) −3.50506 + 1.81772i −0.230616 + 0.119597i
\(232\) −32.8325 + 83.6558i −2.15556 + 5.49227i
\(233\) −0.334598 + 1.08474i −0.0219202 + 0.0710637i −0.965872 0.259020i \(-0.916601\pi\)
0.943952 + 0.330083i \(0.107077\pi\)
\(234\) 4.59406 + 32.9263i 0.300323 + 2.15246i
\(235\) 1.23828 + 16.5238i 0.0807768 + 1.07789i
\(236\) −13.7032 + 17.1833i −0.892004 + 1.11854i
\(237\) 5.16971 14.5183i 0.335809 0.943063i
\(238\) 7.55332 + 13.1525i 0.489609 + 0.852549i
\(239\) 16.9045 + 24.7943i 1.09346 + 1.60381i 0.745775 + 0.666198i \(0.232079\pi\)
0.347684 + 0.937612i \(0.386968\pi\)
\(240\) −100.238 + 18.3973i −6.47037 + 1.18754i
\(241\) −0.467145 + 0.503462i −0.0300914 + 0.0324308i −0.747918 0.663791i \(-0.768946\pi\)
0.717827 + 0.696222i \(0.245137\pi\)
\(242\) −15.9901 + 23.4532i −1.02788 + 1.50763i
\(243\) 15.4368 + 2.16944i 0.990269 + 0.139170i
\(244\) 18.3965i 1.17772i
\(245\) 18.1627 16.6977i 1.16037 1.06678i
\(246\) 23.6619 6.20129i 1.50863 0.395380i
\(247\) −2.91322 + 7.42278i −0.185364 + 0.472300i
\(248\) 25.3344 12.2004i 1.60874 0.774726i
\(249\) 9.92045 18.5238i 0.628683 1.17390i
\(250\) −10.2510 21.2865i −0.648331 1.34627i
\(251\) −10.8888 5.24376i −0.687294 0.330983i 0.0574362 0.998349i \(-0.481707\pi\)
−0.744730 + 0.667366i \(0.767422\pi\)
\(252\) 10.5727 43.6443i 0.666015 2.74933i
\(253\) −1.00049 + 0.481813i −0.0629006 + 0.0302913i
\(254\) 25.6688 + 20.4702i 1.61061 + 1.28441i
\(255\) −2.41923 + 12.4128i −0.151498 + 0.777323i
\(256\) 46.0102 + 57.6949i 2.87564 + 3.60593i
\(257\) −9.31226 + 8.64052i −0.580883 + 0.538981i −0.914949 0.403569i \(-0.867770\pi\)
0.334066 + 0.942550i \(0.391579\pi\)
\(258\) 19.0391 8.18269i 1.18532 0.509432i
\(259\) −3.24391 + 1.26454i −0.201567 + 0.0785749i
\(260\) 62.4332 + 49.7888i 3.87194 + 3.08777i
\(261\) −1.69904 26.5817i −0.105168 1.64537i
\(262\) 23.8584 + 25.7133i 1.47398 + 1.58857i
\(263\) −24.0456 13.8827i −1.48272 0.856047i −0.482909 0.875670i \(-0.660420\pi\)
−0.999807 + 0.0196237i \(0.993753\pi\)
\(264\) 3.82943 + 14.6117i 0.235685 + 0.899288i
\(265\) −10.6715 + 34.5961i −0.655543 + 2.12522i
\(266\) 9.94047 10.6640i 0.609490 0.653852i
\(267\) −4.66779 + 0.149025i −0.285664 + 0.00912015i
\(268\) −8.30911 + 36.4046i −0.507560 + 2.22376i
\(269\) −10.3161 1.55491i −0.628986 0.0948043i −0.173190 0.984889i \(-0.555407\pi\)
−0.455796 + 0.890084i \(0.650645\pi\)
\(270\) 41.2664 29.4196i 2.51139 1.79042i
\(271\) 10.4276 11.2383i 0.633432 0.682678i −0.332015 0.943274i \(-0.607729\pi\)
0.965448 + 0.260596i \(0.0839191\pi\)
\(272\) 33.0471 10.1937i 2.00377 0.618082i
\(273\) −16.2910 + 8.44849i −0.985977 + 0.511326i
\(274\) 27.7598 + 8.56276i 1.67703 + 0.517295i
\(275\) −5.53836 + 3.19758i −0.333976 + 0.192821i
\(276\) 3.33571 12.1814i 0.200786 0.733233i
\(277\) −13.7866 4.25261i −0.828358 0.255515i −0.148550 0.988905i \(-0.547461\pi\)
−0.679808 + 0.733390i \(0.737937\pi\)
\(278\) 44.7898 30.5371i 2.68631 1.83150i
\(279\) −5.26745 + 6.45855i −0.315354 + 0.386663i
\(280\) −47.0051 81.8492i −2.80909 4.89143i
\(281\) −11.2425 4.41237i −0.670673 0.263220i 0.00547548 0.999985i \(-0.498257\pi\)
−0.676149 + 0.736765i \(0.736352\pi\)
\(282\) −12.0931 + 19.0138i −0.720134 + 1.13225i
\(283\) −0.647797 + 0.516601i −0.0385076 + 0.0307087i −0.642554 0.766240i \(-0.722125\pi\)
0.604047 + 0.796949i \(0.293554\pi\)
\(284\) −0.172637 + 0.358484i −0.0102441 + 0.0212721i
\(285\) 12.0865 1.29473i 0.715944 0.0766934i
\(286\) 5.37863 7.88900i 0.318045 0.466487i
\(287\) 7.58054 + 11.1737i 0.447465 + 0.659564i
\(288\) −69.7751 34.5499i −4.11154 2.03587i
\(289\) −0.949708 + 12.6730i −0.0558652 + 0.745469i
\(290\) −63.4795 58.9004i −3.72765 3.45875i
\(291\) −0.305262 1.66324i −0.0178948 0.0975006i
\(292\) 20.8861 + 8.19719i 1.22227 + 0.479704i
\(293\) −8.87573 + 15.3732i −0.518525 + 0.898112i 0.481243 + 0.876587i \(0.340186\pi\)
−0.999768 + 0.0215251i \(0.993148\pi\)
\(294\) 33.3764 3.42019i 1.94655 0.199469i
\(295\) −6.84582 11.8573i −0.398579 0.690359i
\(296\) 1.98521 + 13.1710i 0.115388 + 0.765548i
\(297\) −2.86408 3.44105i −0.166191 0.199670i
\(298\) 48.7298 15.0312i 2.82284 0.870732i
\(299\) −4.65015 + 2.23939i −0.268925 + 0.129507i
\(300\) 13.9141 71.3918i 0.803328 4.12181i
\(301\) 7.76128 + 8.40334i 0.447353 + 0.484361i
\(302\) 10.2510 + 0.768206i 0.589879 + 0.0442053i
\(303\) 27.9071 + 12.3584i 1.60322 + 0.709970i
\(304\) −18.7256 27.4655i −1.07399 1.57525i
\(305\) −10.6681 4.18693i −0.610855 0.239743i
\(306\) −12.7345 + 11.5585i −0.727981 + 0.660757i
\(307\) −24.2206 + 19.3153i −1.38234 + 1.10238i −0.399749 + 0.916625i \(0.630903\pi\)
−0.982595 + 0.185758i \(0.940526\pi\)
\(308\) −10.6729 + 7.24075i −0.608144 + 0.412580i
\(309\) −14.5236 19.9064i −0.826218 1.13243i
\(310\) 2.02484 + 27.0196i 0.115003 + 1.53461i
\(311\) −1.55146 6.79738i −0.0879751 0.385444i 0.911702 0.410852i \(-0.134769\pi\)
−0.999677 + 0.0254078i \(0.991912\pi\)
\(312\) 17.7986 + 67.9130i 1.00765 + 3.84482i
\(313\) 11.1707i 0.631406i 0.948858 + 0.315703i \(0.102240\pi\)
−0.948858 + 0.315703i \(0.897760\pi\)
\(314\) −6.67204 29.2321i −0.376525 1.64966i
\(315\) 22.9030 + 16.0643i 1.29044 + 0.905119i
\(316\) 11.2018 49.0783i 0.630151 2.76087i
\(317\) 26.2804 + 5.99833i 1.47605 + 0.336900i 0.883424 0.468574i \(-0.155232\pi\)
0.592631 + 0.805474i \(0.298089\pi\)
\(318\) −39.7738 + 29.0188i −2.23040 + 1.62729i
\(319\) −4.76963 + 5.98092i −0.267048 + 0.334867i
\(320\) −129.436 + 39.9257i −7.23569 + 2.23191i
\(321\) 0.331679 + 10.3889i 0.0185125 + 0.579854i
\(322\) 9.41138 0.683529i 0.524476 0.0380916i
\(323\) −4.02154 + 0.917890i −0.223764 + 0.0510728i
\(324\) 50.9071 + 1.11700i 2.82817 + 0.0620556i
\(325\) −25.7415 + 14.8618i −1.42788 + 0.824387i
\(326\) −11.8615 + 38.4540i −0.656947 + 2.12977i
\(327\) −9.95066 8.65868i −0.550273 0.478826i
\(328\) 48.0853 18.8721i 2.65507 1.04204i
\(329\) −12.1203 2.79572i −0.668216 0.154133i
\(330\) −14.4546 1.70897i −0.795699 0.0940760i
\(331\) −5.04266 22.0933i −0.277170 1.21436i −0.901354 0.433083i \(-0.857426\pi\)
0.624185 0.781277i \(-0.285431\pi\)
\(332\) 25.0764 63.8937i 1.37625 3.50662i
\(333\) −2.18799 3.28606i −0.119901 0.180075i
\(334\) −3.65064 + 1.43277i −0.199754 + 0.0783978i
\(335\) −19.2199 13.1039i −1.05010 0.715943i
\(336\) 9.15702 75.9524i 0.499556 4.14354i
\(337\) −13.6943 + 9.33661i −0.745976 + 0.508598i −0.875642 0.482960i \(-0.839562\pi\)
0.129667 + 0.991558i \(0.458609\pi\)
\(338\) 4.73401 6.94352i 0.257496 0.377678i
\(339\) −0.172979 5.41809i −0.00939491 0.294270i
\(340\) −3.08704 + 41.1937i −0.167418 + 2.23404i
\(341\) 2.36686 0.356747i 0.128173 0.0193189i
\(342\) 14.2243 + 8.42179i 0.769163 + 0.455398i
\(343\) 7.92036 + 16.7412i 0.427659 + 0.903940i
\(344\) 37.8994 21.8812i 2.04340 1.17976i
\(345\) 6.30480 + 4.70678i 0.339439 + 0.253405i
\(346\) 1.95021 + 4.04964i 0.104844 + 0.217710i
\(347\) 12.3657 + 2.82239i 0.663827 + 0.151514i 0.541141 0.840932i \(-0.317992\pi\)
0.122685 + 0.992446i \(0.460849\pi\)
\(348\) −15.7063 85.5764i −0.841945 4.58738i
\(349\) 25.2578 1.89281i 1.35202 0.101320i 0.621073 0.783753i \(-0.286697\pi\)
0.730948 + 0.682433i \(0.239078\pi\)
\(350\) 53.7542 7.97579i 2.87328 0.426324i
\(351\) −13.3118 15.9935i −0.710532 0.853668i
\(352\) 8.16963 + 20.8159i 0.435443 + 1.10949i
\(353\) 8.66222 5.90580i 0.461043 0.314334i −0.310429 0.950596i \(-0.600473\pi\)
0.771473 + 0.636262i \(0.219520\pi\)
\(354\) 2.18614 18.4905i 0.116192 0.982759i
\(355\) −0.168594 0.181701i −0.00894802 0.00964368i
\(356\) −15.0846 + 2.27364i −0.799483 + 0.120503i
\(357\) −8.35832 4.50108i −0.442369 0.238222i
\(358\) 51.5423 + 7.76876i 2.72410 + 0.410592i
\(359\) −20.8523 30.5847i −1.10054 1.61420i −0.727084 0.686549i \(-0.759125\pi\)
−0.373456 0.927648i \(-0.621827\pi\)
\(360\) 79.2479 71.9299i 4.17673 3.79104i
\(361\) −7.51755 13.0208i −0.395661 0.685304i
\(362\) 8.16677 0.429236
\(363\) 0.761685 17.7504i 0.0399781 0.931655i
\(364\) −49.6059 + 33.6539i −2.60006 + 1.76395i
\(365\) −9.50710 + 10.2462i −0.497624 + 0.536311i
\(366\) −8.21919 13.2414i −0.429624 0.692140i
\(367\) 33.7566 13.2485i 1.76208 0.691565i 0.763105 0.646274i \(-0.223674\pi\)
0.998974 0.0452911i \(-0.0144215\pi\)
\(368\) 3.20680 21.2758i 0.167166 1.10908i
\(369\) −10.5362 + 11.1084i −0.548491 + 0.578279i
\(370\) −12.5130 2.85602i −0.650522 0.148477i
\(371\) −22.4198 15.3612i −1.16398 0.797515i
\(372\) −14.6100 + 22.9710i −0.757492 + 1.19099i
\(373\) −1.60740 2.78410i −0.0832280 0.144155i 0.821407 0.570343i \(-0.193190\pi\)
−0.904635 + 0.426188i \(0.859856\pi\)
\(374\) 4.93925 0.255402
\(375\) 12.4779 + 7.93617i 0.644356 + 0.409822i
\(376\) −20.6468 + 42.8736i −1.06478 + 2.21104i
\(377\) −22.1685 + 27.7984i −1.14174 + 1.43169i
\(378\) 11.8894 + 36.1379i 0.611525 + 1.85873i
\(379\) 7.56375 + 9.48465i 0.388524 + 0.487194i 0.937176 0.348857i \(-0.113430\pi\)
−0.548652 + 0.836051i \(0.684859\pi\)
\(380\) 38.7107 8.83546i 1.98582 0.453250i
\(381\) −20.4075 2.41279i −1.04551 0.123611i
\(382\) −20.4341 9.84054i −1.04550 0.503486i
\(383\) 25.3325 + 3.81826i 1.29443 + 0.195104i 0.759896 0.650044i \(-0.225250\pi\)
0.534533 + 0.845148i \(0.320488\pi\)
\(384\) −88.8343 31.6324i −4.53330 1.61423i
\(385\) −1.76983 7.83715i −0.0901989 0.399418i
\(386\) −24.3622 + 50.5887i −1.24001 + 2.57490i
\(387\) −7.42380 + 10.6361i −0.377373 + 0.540666i
\(388\) −1.62813 5.27826i −0.0826557 0.267963i
\(389\) 4.10814 + 0.307862i 0.208291 + 0.0156092i 0.178467 0.983946i \(-0.442886\pi\)
0.0298240 + 0.999555i \(0.490505\pi\)
\(390\) −67.1827 7.94306i −3.40193 0.402212i
\(391\) −2.31223 1.33497i −0.116935 0.0675123i
\(392\) 69.1479 15.4484i 3.49250 0.780261i
\(393\) −21.1754 5.79861i −1.06816 0.292501i
\(394\) 25.7514 + 32.2913i 1.29734 + 1.62681i
\(395\) 25.9110 + 17.6659i 1.30373 + 0.888865i
\(396\) −10.6105 10.0639i −0.533196 0.505730i
\(397\) −21.7008 1.62625i −1.08913 0.0816191i −0.481963 0.876192i \(-0.660076\pi\)
−0.607169 + 0.794573i \(0.707695\pi\)
\(398\) 1.76716 + 23.5811i 0.0885796 + 1.18201i
\(399\) −1.76615 + 8.95229i −0.0884181 + 0.448175i
\(400\) 9.25985 123.564i 0.462993 6.17821i
\(401\) 4.02180 26.6829i 0.200839 1.33248i −0.630273 0.776374i \(-0.717057\pi\)
0.831112 0.556105i \(-0.187705\pi\)
\(402\) −10.2841 29.9156i −0.512925 1.49205i
\(403\) 11.0008 1.65810i 0.547989 0.0825961i
\(404\) 95.2670 + 29.3860i 4.73971 + 1.46201i
\(405\) −12.2339 + 29.2668i −0.607907 + 1.45428i
\(406\) 56.3704 32.3729i 2.79762 1.60664i
\(407\) −0.168988 + 1.12116i −0.00837643 + 0.0555740i
\(408\) −23.8404 + 27.3977i −1.18028 + 1.35639i
\(409\) 23.5628 5.37807i 1.16511 0.265928i 0.404127 0.914703i \(-0.367575\pi\)
0.760981 + 0.648775i \(0.224718\pi\)
\(410\) 49.7755i 2.45824i
\(411\) −17.5889 + 4.60969i −0.867596 + 0.227379i
\(412\) −54.7475 59.0037i −2.69721 2.90690i
\(413\) 10.0254 2.26399i 0.493317 0.111404i
\(414\) 3.04143 + 10.2582i 0.149478 + 0.504165i
\(415\) 31.3447 + 29.0836i 1.53865 + 1.42766i
\(416\) 37.9712 + 96.7490i 1.86169 + 4.74351i
\(417\) −13.7387 + 31.0241i −0.672788 + 1.51926i
\(418\) −1.39938 4.53666i −0.0684457 0.221895i
\(419\) 15.9389 + 14.7892i 0.778668 + 0.722498i 0.965645 0.259866i \(-0.0836785\pi\)
−0.186977 + 0.982364i \(0.559869\pi\)
\(420\) 80.4559 + 43.3267i 3.92584 + 2.11412i
\(421\) −0.589086 + 0.546592i −0.0287103 + 0.0266393i −0.694397 0.719592i \(-0.744329\pi\)
0.665687 + 0.746231i \(0.268139\pi\)
\(422\) −16.7834 9.68987i −0.817001 0.471696i
\(423\) 0.154707 14.1032i 0.00752212 0.685721i
\(424\) −76.2172 + 70.7192i −3.70143 + 3.43443i
\(425\) −13.8534 6.67145i −0.671989 0.323613i
\(426\) −0.0359030 0.335160i −0.00173951 0.0162385i
\(427\) 5.37926 6.71366i 0.260321 0.324897i
\(428\) 5.06036 + 33.5733i 0.244602 + 1.62283i
\(429\) −0.256210 + 5.97074i −0.0123699 + 0.288270i
\(430\) 6.28500 + 41.6982i 0.303089 + 2.01087i
\(431\) −2.37718 + 0.178145i −0.114505 + 0.00858095i −0.131859 0.991268i \(-0.542095\pi\)
0.0173544 + 0.999849i \(0.494476\pi\)
\(432\) 86.3483 8.29285i 4.15443 0.398990i
\(433\) −10.2156 21.2129i −0.490930 1.01943i −0.988390 0.151940i \(-0.951448\pi\)
0.497460 0.867487i \(-0.334266\pi\)
\(434\) −19.8191 4.57155i −0.951349 0.219442i
\(435\) 53.2004 + 10.3686i 2.55076 + 0.497137i
\(436\) −35.5996 24.2714i −1.70491 1.16239i
\(437\) −0.571063 + 2.50199i −0.0273177 + 0.119686i
\(438\) −18.6957 + 3.43132i −0.893316 + 0.163955i
\(439\) −30.0237 + 23.9431i −1.43295 + 1.14274i −0.466924 + 0.884297i \(0.654638\pi\)
−0.966027 + 0.258443i \(0.916791\pi\)
\(440\) −30.7374 −1.46535
\(441\) −16.6203 + 12.8361i −0.791443 + 0.611244i
\(442\) 22.9569 1.09195
\(443\) −10.9864 + 8.76139i −0.521981 + 0.416266i −0.848715 0.528850i \(-0.822623\pi\)
0.326734 + 0.945116i \(0.394052\pi\)
\(444\) −8.35787 9.82044i −0.396647 0.466058i
\(445\) 2.11468 9.26503i 0.100246 0.439204i
\(446\) 26.5375 + 18.0930i 1.25659 + 0.856728i
\(447\) −20.9524 + 24.0788i −0.991015 + 1.13889i
\(448\) 0.233779 101.680i 0.0110450 4.80394i
\(449\) −3.43687 7.13672i −0.162196 0.336803i 0.803993 0.594639i \(-0.202705\pi\)
−0.966189 + 0.257836i \(0.916991\pi\)
\(450\) 21.8814 + 57.6029i 1.03150 + 2.71542i
\(451\) 4.38486 0.328600i 0.206475 0.0154732i
\(452\) −2.63910 17.5093i −0.124133 0.823568i
\(453\) −5.70497 + 2.97525i −0.268043 + 0.139789i
\(454\) −0.360167 2.38955i −0.0169035 0.112147i
\(455\) −8.22591 36.4259i −0.385637 1.70767i
\(456\) 31.9190 + 14.1350i 1.49474 + 0.661932i
\(457\) 25.4099 + 12.2368i 1.18863 + 0.572412i 0.920413 0.390947i \(-0.127853\pi\)
0.268213 + 0.963360i \(0.413567\pi\)
\(458\) −42.7609 + 39.6763i −1.99809 + 1.85395i
\(459\) 2.95670 10.3503i 0.138007 0.483109i
\(460\) 22.2572 + 12.8502i 1.03775 + 0.599144i
\(461\) −10.9523 + 10.1623i −0.510101 + 0.473304i −0.892726 0.450599i \(-0.851210\pi\)
0.382626 + 0.923903i \(0.375020\pi\)
\(462\) 4.44709 9.98017i 0.206897 0.464320i
\(463\) −8.94538 8.30010i −0.415727 0.385738i 0.444391 0.895833i \(-0.353420\pi\)
−0.860118 + 0.510094i \(0.829610\pi\)
\(464\) −43.6892 141.637i −2.02822 6.57533i
\(465\) −9.99574 13.7004i −0.463541 0.635340i
\(466\) −1.14765 2.92416i −0.0531639 0.135459i
\(467\) 10.7758 + 9.99845i 0.498643 + 0.462673i 0.888945 0.458014i \(-0.151439\pi\)
−0.390302 + 0.920687i \(0.627629\pi\)
\(468\) −49.3159 46.7755i −2.27963 2.16220i
\(469\) 13.6773 10.8559i 0.631559 0.501280i
\(470\) −31.1884 33.6131i −1.43861 1.55046i
\(471\) 13.1974 + 13.3430i 0.608105 + 0.614812i
\(472\) 39.3198i 1.80984i
\(473\) 3.63182 0.828939i 0.166991 0.0381146i
\(474\) 13.8644 + 40.3303i 0.636812 + 1.85243i
\(475\) −2.20277 + 14.6144i −0.101070 + 0.670555i
\(476\) −28.8397 11.3953i −1.32187 0.522304i
\(477\) 11.5725 28.5610i 0.529867 1.30772i
\(478\) −79.3522 24.4769i −3.62949 1.11955i
\(479\) 27.2607 4.10890i 1.24558 0.187740i 0.507021 0.861934i \(-0.330747\pi\)
0.738555 + 0.674194i \(0.235509\pi\)
\(480\) 104.004 119.523i 4.74712 5.45545i
\(481\) −0.785431 + 5.21099i −0.0358126 + 0.237601i
\(482\) 0.142029 1.89524i 0.00646924 0.0863260i
\(483\) −4.77926 + 3.47012i −0.217464 + 0.157896i
\(484\) −4.33694 57.8724i −0.197133 2.63056i
\(485\) 3.43142 + 0.257149i 0.155813 + 0.0116765i
\(486\) −37.1409 + 21.9403i −1.68475 + 0.995230i
\(487\) −4.81699 3.28417i −0.218278 0.148820i 0.449245 0.893409i \(-0.351693\pi\)
−0.667523 + 0.744589i \(0.732646\pi\)
\(488\) −20.5202 25.7316i −0.928907 1.16481i
\(489\) −6.38553 24.3649i −0.288764 1.10182i
\(490\) −10.4859 + 67.4631i −0.473705 + 3.04767i
\(491\) 24.2588 + 14.0058i 1.09478 + 0.632074i 0.934846 0.355053i \(-0.115537\pi\)
0.159938 + 0.987127i \(0.448871\pi\)
\(492\) −29.9177 + 40.0752i −1.34880 + 1.80673i
\(493\) −18.3415 1.37451i −0.826060 0.0619047i
\(494\) −6.50409 21.0857i −0.292633 0.948692i
\(495\) 8.25093 3.86253i 0.370852 0.173608i
\(496\) −20.1225 + 41.7848i −0.903527 + 1.87619i
\(497\) 0.167826 0.0803457i 0.00752800 0.00360400i
\(498\) 10.4969 + 57.1930i 0.470378 + 2.56288i
\(499\) −19.0773 2.87544i −0.854018 0.128722i −0.292580 0.956241i \(-0.594514\pi\)
−0.561438 + 0.827519i \(0.689752\pi\)
\(500\) 43.5205 + 20.9584i 1.94630 + 0.937288i
\(501\) 1.46843 1.96698i 0.0656047 0.0878783i
\(502\) 32.6055 7.44200i 1.45526 0.332153i
\(503\) 19.2957 + 24.1960i 0.860351 + 1.07885i 0.996111 + 0.0881041i \(0.0280808\pi\)
−0.135761 + 0.990742i \(0.543348\pi\)
\(504\) 33.8945 + 72.8393i 1.50978 + 3.24452i
\(505\) −38.7231 + 48.5573i −1.72316 + 2.16077i
\(506\) 1.33330 2.76862i 0.0592724 0.123080i
\(507\) −0.225503 + 5.25516i −0.0100150 + 0.233390i
\(508\) −67.1249 −2.97819
\(509\) −9.59331 16.6161i −0.425216 0.736496i 0.571225 0.820794i \(-0.306469\pi\)
−0.996441 + 0.0842982i \(0.973135\pi\)
\(510\) −16.1825 31.0296i −0.716573 1.37401i
\(511\) −5.22530 9.09874i −0.231154 0.402504i
\(512\) −92.9325 21.2112i −4.10707 0.937413i
\(513\) −10.3443 + 0.216705i −0.456713 + 0.00956776i
\(514\) 5.23937 34.7610i 0.231099 1.53324i
\(515\) 46.6764 18.3192i 2.05681 0.807238i
\(516\) −20.0027 + 37.3496i −0.880570 + 1.64423i
\(517\) −2.75518 + 2.96937i −0.121172 + 0.130593i
\(518\) 4.83651 8.33278i 0.212504 0.366121i
\(519\) −2.37386 1.50982i −0.104201 0.0662736i
\(520\) −142.863 −6.26496
\(521\) 16.0629 + 27.8217i 0.703728 + 1.21889i 0.967149 + 0.254211i \(0.0818158\pi\)
−0.263421 + 0.964681i \(0.584851\pi\)
\(522\) 49.5389 + 54.5789i 2.16826 + 2.38885i
\(523\) 4.71689 + 6.91841i 0.206255 + 0.302521i 0.915403 0.402539i \(-0.131872\pi\)
−0.709147 + 0.705060i \(0.750920\pi\)
\(524\) −70.9146 10.6887i −3.09792 0.466936i
\(525\) −25.9533 + 21.9853i −1.13269 + 0.959517i
\(526\) 75.9760 11.4515i 3.31271 0.499311i
\(527\) 3.91441 + 4.21873i 0.170514 + 0.183771i
\(528\) −19.9639 14.9038i −0.868816 0.648606i
\(529\) 17.6310 12.0206i 0.766567 0.522636i
\(530\) −36.6025 93.2616i −1.58991 4.05103i
\(531\) 4.94100 + 10.5547i 0.214421 + 0.458035i
\(532\) −2.29574 + 29.7176i −0.0995331 + 1.28842i
\(533\) 20.3802 1.52728i 0.882763 0.0661539i
\(534\) 9.84177 8.37602i 0.425895 0.362466i
\(535\) −20.6209 4.70658i −0.891517 0.203483i
\(536\) −28.9851 60.1881i −1.25196 2.59973i
\(537\) −29.9742 + 12.8824i −1.29348 + 0.555915i
\(538\) 25.0020 14.4349i 1.07791 0.622333i
\(539\) 6.01223 + 0.478365i 0.258965 + 0.0206046i
\(540\) −28.4607 + 99.6300i −1.22475 + 4.28739i
\(541\) 38.0076 5.72873i 1.63408 0.246297i 0.733085 0.680137i \(-0.238080\pi\)
0.900990 + 0.433840i \(0.142842\pi\)
\(542\) −3.17037 + 42.3057i −0.136179 + 1.81719i
\(543\) −4.34301 + 2.69579i −0.186377 + 0.115687i
\(544\) −30.2869 + 44.4228i −1.29854 + 1.90461i
\(545\) 22.1772 15.1202i 0.949968 0.647678i
\(546\) 20.6694 46.3863i 0.884569 1.98515i
\(547\) −1.72634 1.17700i −0.0738132 0.0503250i 0.525851 0.850577i \(-0.323747\pi\)
−0.599664 + 0.800252i \(0.704699\pi\)
\(548\) −55.2884 + 21.6991i −2.36180 + 0.926939i
\(549\) 8.74178 + 4.32858i 0.373090 + 0.184739i
\(550\) 6.46545 16.4737i 0.275688 0.702440i
\(551\) 3.93400 + 17.2360i 0.167594 + 0.734277i
\(552\) 8.92191 + 20.7591i 0.379742 + 0.883567i
\(553\) −18.4388 + 14.6353i −0.784099 + 0.622354i
\(554\) 37.1650 14.5862i 1.57899 0.619708i
\(555\) 7.59707 2.61165i 0.322478 0.110858i
\(556\) −32.6682 + 105.908i −1.38544 + 4.49149i
\(557\) −8.61741 + 4.97526i −0.365131 + 0.210809i −0.671329 0.741159i \(-0.734276\pi\)
0.306198 + 0.951968i \(0.400943\pi\)
\(558\) 0.252977 23.0615i 0.0107094 0.976271i
\(559\) 16.8801 3.85278i 0.713954 0.162955i
\(560\) 144.782 + 57.2072i 6.11816 + 2.41745i
\(561\) −2.62665 + 1.63041i −0.110897 + 0.0688358i
\(562\) 31.9364 9.85108i 1.34716 0.415543i
\(563\) 22.9342 28.7586i 0.966562 1.21203i −0.0106882 0.999943i \(-0.503402\pi\)
0.977251 0.212088i \(-0.0680263\pi\)
\(564\) −4.90710 45.8085i −0.206626 1.92888i
\(565\) 10.7543 + 2.45459i 0.452436 + 0.103266i
\(566\) 0.510207 2.23536i 0.0214456 0.0939592i
\(567\) −18.2515 15.2932i −0.766491 0.642255i
\(568\) −0.158397 0.693985i −0.00664621 0.0291190i
\(569\) 11.6186i 0.487078i 0.969891 + 0.243539i \(0.0783084\pi\)
−0.969891 + 0.243539i \(0.921692\pi\)
\(570\) −23.9156 + 23.6547i −1.00172 + 0.990788i
\(571\) 1.21091 + 5.30537i 0.0506752 + 0.222023i 0.993925 0.110062i \(-0.0351051\pi\)
−0.943249 + 0.332085i \(0.892248\pi\)
\(572\) 1.45882 + 19.4667i 0.0609965 + 0.813942i
\(573\) 14.1150 1.51202i 0.589661 0.0631657i
\(574\) −35.6793 11.0955i −1.48923 0.463118i
\(575\) −7.47917 + 5.96444i −0.311903 + 0.248734i
\(576\) 112.679 24.4210i 4.69495 1.01754i
\(577\) −12.7279 4.99533i −0.529870 0.207958i 0.0852971 0.996356i \(-0.472816\pi\)
−0.615167 + 0.788397i \(0.710911\pi\)
\(578\) −19.8107 29.0569i −0.824015 1.20861i
\(579\) −3.74332 34.9444i −0.155567 1.45224i
\(580\) 176.553 + 13.2308i 7.33094 + 0.549378i
\(581\) −27.8344 + 15.9850i −1.15476 + 0.663168i
\(582\) 3.53012 + 3.07177i 0.146328 + 0.127329i
\(583\) −7.97403 + 3.84009i −0.330251 + 0.159040i
\(584\) −38.3573 + 11.8317i −1.58724 + 0.489597i
\(585\) 38.3491 17.9524i 1.58554 0.742242i
\(586\) −7.32137 48.5741i −0.302443 2.00658i
\(587\) 14.1269 + 24.4685i 0.583080 + 1.00992i 0.995112 + 0.0987545i \(0.0314859\pi\)
−0.412032 + 0.911169i \(0.635181\pi\)
\(588\) −48.9913 + 48.0132i −2.02037 + 1.98003i
\(589\) 2.76585 4.79059i 0.113965 0.197393i
\(590\) 35.2692 + 13.8421i 1.45201 + 0.569872i
\(591\) −24.3535 8.67186i −1.00177 0.356712i
\(592\) −16.1042 14.9425i −0.661878 0.614133i
\(593\) −1.06628 + 14.2285i −0.0437867 + 0.584293i 0.931556 + 0.363598i \(0.118452\pi\)
−0.975343 + 0.220695i \(0.929167\pi\)
\(594\) 12.1335 + 2.50325i 0.497845 + 0.102709i
\(595\) 13.1719 14.1306i 0.539995 0.579299i
\(596\) −58.7323 + 86.1445i −2.40577 + 3.52862i
\(597\) −8.72368 11.9569i −0.357037 0.489362i
\(598\) 6.19697 12.8681i 0.253413 0.526218i
\(599\) 2.65160 2.11458i 0.108341 0.0863993i −0.567821 0.823152i \(-0.692213\pi\)
0.676162 + 0.736753i \(0.263642\pi\)
\(600\) 60.1715 + 115.377i 2.45649 + 4.71026i
\(601\) 20.9853 + 8.23612i 0.856008 + 0.335958i 0.752438 0.658664i \(-0.228878\pi\)
0.103571 + 0.994622i \(0.466973\pi\)
\(602\) −31.2905 4.78989i −1.27531 0.195221i
\(603\) 15.3439 + 12.5141i 0.624852 + 0.509615i
\(604\) −17.3652 + 11.8394i −0.706578 + 0.481737i
\(605\) 34.5473 + 10.6564i 1.40455 + 0.433245i
\(606\) −81.7003 + 21.4120i −3.31885 + 0.869802i
\(607\) −11.8527 + 6.84319i −0.481088 + 0.277756i −0.720870 0.693071i \(-0.756257\pi\)
0.239782 + 0.970827i \(0.422924\pi\)
\(608\) 49.3828 + 15.2326i 2.00274 + 0.617763i
\(609\) −19.2912 + 35.8231i −0.781721 + 1.45162i
\(610\) 30.3047 9.34778i 1.22700 0.378480i
\(611\) −12.8056 + 13.8012i −0.518061 + 0.558337i
\(612\) 5.62159 34.7090i 0.227239 1.40303i
\(613\) −27.4151 4.13216i −1.10728 0.166896i −0.430151 0.902757i \(-0.641540\pi\)
−0.677133 + 0.735861i \(0.736778\pi\)
\(614\) 19.0762 83.5784i 0.769854 3.37295i
\(615\) −16.4305 26.4702i −0.662542 1.06738i
\(616\) 6.85172 22.0328i 0.276064 0.887725i
\(617\) 14.3804 46.6203i 0.578935 1.87686i 0.109280 0.994011i \(-0.465145\pi\)
0.469655 0.882850i \(-0.344378\pi\)
\(618\) 65.7677 + 18.0096i 2.64557 + 0.724452i
\(619\) −5.29671 3.05806i −0.212893 0.122914i 0.389762 0.920916i \(-0.372557\pi\)
−0.602655 + 0.798002i \(0.705891\pi\)
\(620\) −37.6795 40.6088i −1.51324 1.63089i
\(621\) −5.00356 4.45128i −0.200786 0.178624i
\(622\) 15.0845 + 12.0295i 0.604834 + 0.482339i
\(623\) 6.16983 + 3.58109i 0.247189 + 0.143474i
\(624\) −92.7890 69.2707i −3.71453 2.77305i
\(625\) 5.14616 4.77494i 0.205846 0.190998i
\(626\) −19.2735 24.1681i −0.770322 0.965953i
\(627\) 2.24169 + 1.95063i 0.0895246 + 0.0779008i
\(628\) 47.9283 + 38.2215i 1.91255 + 1.52520i
\(629\) −2.45614 + 1.18281i −0.0979326 + 0.0471618i
\(630\) −77.2679 + 4.76042i −3.07843 + 0.189660i
\(631\) 41.1258 + 19.8052i 1.63719 + 0.788431i 0.999841 + 0.0178597i \(0.00568523\pi\)
0.637354 + 0.770571i \(0.280029\pi\)
\(632\) 39.0758 + 81.1418i 1.55435 + 3.22765i
\(633\) 12.1238 0.387066i 0.481877 0.0153845i
\(634\) −67.2076 + 32.3655i −2.66916 + 1.28540i
\(635\) 15.2772 38.9257i 0.606258 1.54472i
\(636\) 26.5859 97.0867i 1.05420 3.84974i
\(637\) 27.9439 + 2.22337i 1.10718 + 0.0880931i
\(638\) 21.1692i 0.838096i
\(639\) 0.129727 + 0.166384i 0.00513190 + 0.00658204i
\(640\) 108.094 158.544i 4.27277 6.26701i
\(641\) 12.9955 14.0058i 0.513291 0.553196i −0.422220 0.906493i \(-0.638749\pi\)
0.935511 + 0.353298i \(0.114940\pi\)
\(642\) −18.6422 21.9045i −0.735749 0.864501i
\(643\) 13.8181 + 20.2674i 0.544933 + 0.799270i 0.995628 0.0934081i \(-0.0297761\pi\)
−0.450695 + 0.892678i \(0.648824\pi\)
\(644\) −14.1725 + 13.0896i −0.558474 + 0.515803i
\(645\) −17.1066 20.1001i −0.673570 0.791441i
\(646\) 7.11702 8.92447i 0.280016 0.351128i
\(647\) −2.32675 31.0483i −0.0914740 1.22064i −0.834361 0.551218i \(-0.814163\pi\)
0.742887 0.669417i \(-0.233456\pi\)
\(648\) −72.4507 + 55.2215i −2.84613 + 2.16931i
\(649\) 0.986557 3.19834i 0.0387258 0.125546i
\(650\) 30.0504 76.5672i 1.17867 3.00321i
\(651\) 12.0487 4.11103i 0.472224 0.161124i
\(652\) −30.0585 76.5877i −1.17718 2.99941i
\(653\) −29.9515 + 2.24456i −1.17209 + 0.0878363i −0.646510 0.762905i \(-0.723772\pi\)
−0.525584 + 0.850742i \(0.676153\pi\)
\(654\) 36.4678 + 1.56486i 1.42600 + 0.0611911i
\(655\) 22.3381 38.6907i 0.872821 1.51177i
\(656\) −42.5990 + 73.7837i −1.66321 + 2.88077i
\(657\) 8.80956 7.99605i 0.343694 0.311956i
\(658\) 31.0463 14.8633i 1.21031 0.579431i
\(659\) −3.15743 10.2361i −0.122996 0.398743i 0.873045 0.487640i \(-0.162142\pi\)
−0.996041 + 0.0888966i \(0.971666\pi\)
\(660\) 25.2837 15.6940i 0.984166 0.610889i
\(661\) −1.03662 0.826680i −0.0403200 0.0321541i 0.603122 0.797649i \(-0.293923\pi\)
−0.643442 + 0.765494i \(0.722494\pi\)
\(662\) 49.0288 + 39.0992i 1.90556 + 1.51963i
\(663\) −12.2083 + 7.57788i −0.474129 + 0.294301i
\(664\) 36.1948 + 117.341i 1.40463 + 4.55370i
\(665\) −16.7107 8.09484i −0.648013 0.313904i
\(666\) 10.4034 + 3.33443i 0.403123 + 0.129206i
\(667\) −5.72157 + 9.91004i −0.221540 + 0.383718i
\(668\) 4.00903 6.94385i 0.155114 0.268665i
\(669\) −20.0848 0.861854i −0.776522 0.0333212i
\(670\) 64.1917 4.81050i 2.47994 0.185846i
\(671\) −1.02353 2.60792i −0.0395130 0.100677i
\(672\) 62.4909 + 101.194i 2.41064 + 3.90363i
\(673\) 4.17750 10.6441i 0.161031 0.410300i −0.827471 0.561508i \(-0.810221\pi\)
0.988502 + 0.151208i \(0.0483164\pi\)
\(674\) 13.5190 43.8275i 0.520733 1.68817i
\(675\) −30.6506 23.4098i −1.17974 0.901044i
\(676\) 1.28399 + 17.1336i 0.0493841 + 0.658985i
\(677\) −27.2945 + 34.2263i −1.04901 + 1.31542i −0.101806 + 0.994804i \(0.532462\pi\)
−0.947208 + 0.320618i \(0.896109\pi\)
\(678\) 9.72237 + 11.4237i 0.373385 + 0.438726i
\(679\) −0.949227 + 2.40234i −0.0364280 + 0.0921932i
\(680\) −41.6312 61.0618i −1.59648 2.34161i
\(681\) 0.980307 + 1.15185i 0.0375654 + 0.0441392i
\(682\) −4.50525 + 4.85551i −0.172515 + 0.185927i
\(683\) 22.7673 33.3934i 0.871165 1.27776i −0.0883455 0.996090i \(-0.528158\pi\)
0.959510 0.281674i \(-0.0908897\pi\)
\(684\) −33.4727 + 4.67029i −1.27986 + 0.178573i
\(685\) 37.0003i 1.41371i
\(686\) −46.0204 22.5546i −1.75707 0.861140i
\(687\) 9.64303 35.2146i 0.367904 1.34352i
\(688\) −26.3699 + 67.1893i −1.00534 + 2.56157i
\(689\) −37.0621 + 17.8482i −1.41195 + 0.679961i
\(690\) −21.7615 + 0.694760i −0.828445 + 0.0264491i
\(691\) 5.04475 + 10.4755i 0.191911 + 0.398508i 0.974615 0.223886i \(-0.0718744\pi\)
−0.782704 + 0.622394i \(0.786160\pi\)
\(692\) −8.27957 3.98723i −0.314742 0.151572i
\(693\) 0.929453 + 6.77531i 0.0353070 + 0.257373i
\(694\) −31.6232 + 15.2289i −1.20040 + 0.578082i
\(695\) −53.9808 43.0483i −2.04761 1.63291i
\(696\) 117.424 + 102.178i 4.45095 + 3.87305i
\(697\) 6.59170 + 8.26573i 0.249678 + 0.313087i
\(698\) −51.3802 + 47.6739i −1.94477 + 1.80448i
\(699\) 1.57555 + 1.17621i 0.0595929 + 0.0444885i
\(700\) −75.7574 + 81.2715i −2.86336 + 3.07177i
\(701\) −12.0085 9.57646i −0.453555 0.361698i 0.369908 0.929068i \(-0.379389\pi\)
−0.823463 + 0.567371i \(0.807961\pi\)
\(702\) 56.3949 + 11.6347i 2.12849 + 0.439124i
\(703\) 1.78227 + 1.92083i 0.0672197 + 0.0724456i
\(704\) −28.6765 16.5564i −1.08079 0.623993i
\(705\) 27.6811 + 7.58010i 1.04253 + 0.285483i
\(706\) −8.55134 + 27.7228i −0.321834 + 1.04336i
\(707\) −26.1743 38.5809i −0.984385 1.45098i
\(708\) 20.0760 + 32.3432i 0.754503 + 1.21553i
\(709\) 5.78356 25.3394i 0.217206 0.951643i −0.742325 0.670040i \(-0.766277\pi\)
0.959531 0.281603i \(-0.0908660\pi\)
\(710\) 0.678256 + 0.102231i 0.0254545 + 0.00383665i
\(711\) −20.6857 16.8708i −0.775773 0.632703i
\(712\) 18.5630 20.0062i 0.695679 0.749763i
\(713\) 3.42140 1.05536i 0.128133 0.0395236i
\(714\) 25.8494 4.68287i 0.967390 0.175252i
\(715\) −11.6207 3.58452i −0.434591 0.134053i
\(716\) −92.2919 + 53.2848i −3.44911 + 1.99135i
\(717\) 50.2784 13.1769i 1.87768 0.492102i
\(718\) 97.8838 + 30.1932i 3.65299 + 1.12680i
\(719\) 17.6896 12.0606i 0.659713 0.449784i −0.186625 0.982431i \(-0.559755\pi\)
0.846338 + 0.532647i \(0.178803\pi\)
\(720\) −28.2217 + 174.247i −1.05176 + 6.49382i
\(721\) 2.72656 + 37.5415i 0.101542 + 1.39812i
\(722\) 38.7299 + 15.2004i 1.44138 + 0.565699i
\(723\) 0.550076 + 1.05476i 0.0204575 + 0.0392268i
\(724\) −13.0543 + 10.4105i −0.485160 + 0.386902i
\(725\) −28.5933 + 59.3746i −1.06193 + 2.20512i
\(726\) 28.9779 + 39.7177i 1.07547 + 1.47406i
\(727\) −22.9008 + 33.5894i −0.849345 + 1.24576i 0.118182 + 0.992992i \(0.462293\pi\)
−0.967527 + 0.252768i \(0.918659\pi\)
\(728\) 31.8458 102.405i 1.18028 3.79538i
\(729\) 12.5089 23.9276i 0.463292 0.886206i
\(730\) 2.89050 38.5711i 0.106982 1.42758i
\(731\) 6.56572 + 6.09210i 0.242842 + 0.225324i
\(732\) 30.0174 + 10.6887i 1.10948 + 0.395066i
\(733\) 20.5526 + 8.06630i 0.759128 + 0.297936i 0.713154 0.701007i \(-0.247266\pi\)
0.0459734 + 0.998943i \(0.485361\pi\)
\(734\) −50.1750 + 86.9056i −1.85199 + 3.20774i
\(735\) −16.6927 39.3376i −0.615720 1.45099i
\(736\) 16.7249 + 28.9684i 0.616488 + 1.06779i
\(737\) −0.847541 5.62306i −0.0312196 0.207128i
\(738\) 3.62938 42.2119i 0.133599 1.55384i
\(739\) 14.7794 4.55885i 0.543670 0.167700i −0.0107423 0.999942i \(-0.503419\pi\)
0.554412 + 0.832242i \(0.312943\pi\)
\(740\) 23.6424 11.3856i 0.869111 0.418542i
\(741\) 10.4190 + 9.06625i 0.382753 + 0.333057i
\(742\) 75.0095 5.44779i 2.75369 0.199995i
\(743\) −21.3277 1.59829i −0.782436 0.0586355i −0.322479 0.946577i \(-0.604516\pi\)
−0.459957 + 0.887941i \(0.652135\pi\)
\(744\) −5.18755 48.4266i −0.190185 1.77540i
\(745\) −36.5881 53.6648i −1.34048 1.96613i
\(746\) 8.28121 + 3.25014i 0.303197 + 0.118996i
\(747\) −24.4611 26.9497i −0.894985 0.986040i
\(748\) −7.89523 + 6.29624i −0.288678 + 0.230213i
\(749\) 7.97032 13.7320i 0.291229 0.501756i
\(750\) −40.6890 + 4.35869i −1.48575 + 0.159157i
\(751\) 1.31071 + 17.4903i 0.0478286 + 0.638229i 0.968680 + 0.248314i \(0.0798765\pi\)
−0.920851 + 0.389915i \(0.872504\pi\)
\(752\) −17.4646 76.5175i −0.636869 2.79030i
\(753\) −14.8828 + 14.7204i −0.542359 + 0.536442i
\(754\) 98.3912i 3.58320i
\(755\) −2.91344 12.7646i −0.106031 0.464552i
\(756\) −65.0711 42.6094i −2.36661 1.54969i
\(757\) −4.88622 + 21.4079i −0.177593 + 0.778085i 0.805145 + 0.593079i \(0.202088\pi\)
−0.982737 + 0.185006i \(0.940769\pi\)
\(758\) −32.7288 7.47013i −1.18876 0.271327i
\(759\) 0.204865 + 1.91244i 0.00743612 + 0.0694172i
\(760\) −44.2900 + 55.5379i −1.60657 + 2.01457i
\(761\) 32.5558 10.0421i 1.18015 0.364027i 0.358229 0.933634i \(-0.383381\pi\)
0.821917 + 0.569607i \(0.192905\pi\)
\(762\) 48.3151 29.9901i 1.75027 1.08642i
\(763\) 5.89467 + 19.2672i 0.213401 + 0.697520i
\(764\) 45.2073 10.3183i 1.63554 0.373302i
\(765\) 18.8483 + 11.1595i 0.681463 + 0.403473i
\(766\) −61.3954 + 35.4466i −2.21830 + 1.28074i
\(767\) 4.58537 14.8654i 0.165568 0.536758i
\(768\) 120.873 41.5526i 4.36163 1.49940i
\(769\) 22.8362 8.96254i 0.823494 0.323198i 0.0840889 0.996458i \(-0.473202\pi\)
0.739405 + 0.673261i \(0.235107\pi\)
\(770\) 17.3510 + 13.9023i 0.625285 + 0.501004i
\(771\) 8.68807 + 20.2150i 0.312893 + 0.728027i
\(772\) −25.5450 111.920i −0.919384 4.02808i
\(773\) −11.1033