Properties

Label 65.2.o.a.2.2
Level $65$
Weight $2$
Character 65.2
Analytic conductor $0.519$
Analytic rank $0$
Dimension $20$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 65 = 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 65.o (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.519027613138\)
Analytic rank: \(0\)
Dimension: \(20\)
Relative dimension: \(5\) over \(\Q(\zeta_{12})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{20} + \cdots)\)
Defining polynomial: \(x^{20} + 26 x^{18} + 279 x^{16} + 1604 x^{14} + 5353 x^{12} + 10466 x^{10} + 11441 x^{8} + 6176 x^{6} + 1263 x^{4} + 78 x^{2} + 1\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 2.2
Root \(1.83163i\) of defining polynomial
Character \(\chi\) \(=\) 65.2
Dual form 65.2.o.a.33.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.915816 - 1.58624i) q^{2} +(1.91432 + 0.512942i) q^{3} +(-0.677439 + 1.17336i) q^{4} +(1.45480 + 1.69810i) q^{5} +(-0.939520 - 3.50634i) q^{6} +(-3.06478 - 1.76945i) q^{7} -1.18163 q^{8} +(0.803451 + 0.463873i) q^{9} +O(q^{10})\) \(q+(-0.915816 - 1.58624i) q^{2} +(1.91432 + 0.512942i) q^{3} +(-0.677439 + 1.17336i) q^{4} +(1.45480 + 1.69810i) q^{5} +(-0.939520 - 3.50634i) q^{6} +(-3.06478 - 1.76945i) q^{7} -1.18163 q^{8} +(0.803451 + 0.463873i) q^{9} +(1.36126 - 3.86282i) q^{10} +(-1.00269 + 3.74209i) q^{11} +(-1.89870 + 1.89870i) q^{12} +(0.573112 - 3.55971i) q^{13} +6.48197i q^{14} +(1.91394 + 3.99694i) q^{15} +(2.43703 + 4.22106i) q^{16} +(0.524334 + 1.95684i) q^{17} -1.69929i q^{18} +(-0.518968 + 0.139057i) q^{19} +(-2.97802 + 0.556646i) q^{20} +(-4.95936 - 4.95936i) q^{21} +(6.85414 - 1.83656i) q^{22} +(0.0788026 - 0.294095i) q^{23} +(-2.26202 - 0.606106i) q^{24} +(-0.767094 + 4.94081i) q^{25} +(-6.17142 + 2.35095i) q^{26} +(-2.90402 - 2.90402i) q^{27} +(4.15240 - 2.39739i) q^{28} +(1.71273 - 0.988843i) q^{29} +(4.58730 - 6.69643i) q^{30} +(4.13563 - 4.13563i) q^{31} +(3.28212 - 5.68479i) q^{32} +(-3.83895 + 6.64926i) q^{33} +(2.62382 - 2.62382i) q^{34} +(-1.45395 - 7.77851i) q^{35} +(-1.08858 + 0.628491i) q^{36} +(4.69189 - 2.70887i) q^{37} +(0.695857 + 0.695857i) q^{38} +(2.92305 - 6.52047i) q^{39} +(-1.71904 - 2.00652i) q^{40} +(0.649884 + 0.174136i) q^{41} +(-3.32487 + 12.4086i) q^{42} +(-8.51164 + 2.28069i) q^{43} +(-3.71155 - 3.71155i) q^{44} +(0.381161 + 2.03919i) q^{45} +(-0.538675 + 0.144337i) q^{46} +9.75201i q^{47} +(2.50011 + 9.33053i) q^{48} +(2.76192 + 4.78379i) q^{49} +(8.53982 - 3.30807i) q^{50} +4.01498i q^{51} +(3.78857 + 3.08395i) q^{52} +(3.16254 - 3.16254i) q^{53} +(-1.94693 + 7.26602i) q^{54} +(-7.81317 + 3.74134i) q^{55} +(3.62143 + 2.09083i) q^{56} -1.06480 q^{57} +(-3.13709 - 1.81120i) q^{58} +(-3.14703 - 11.7449i) q^{59} +(-5.98642 - 0.461950i) q^{60} +(1.44316 - 2.49963i) q^{61} +(-10.3476 - 2.77263i) q^{62} +(-1.64160 - 2.84334i) q^{63} -2.27514 q^{64} +(6.87851 - 4.20548i) q^{65} +14.0631 q^{66} +(-1.14494 - 1.98310i) q^{67} +(-2.65128 - 0.710408i) q^{68} +(0.301707 - 0.522573i) q^{69} +(-11.0070 + 9.43000i) q^{70} +(-1.19607 - 4.46378i) q^{71} +(-0.949380 - 0.548125i) q^{72} +14.7546 q^{73} +(-8.59382 - 4.96165i) q^{74} +(-4.00281 + 9.06483i) q^{75} +(0.188405 - 0.703137i) q^{76} +(9.69449 - 9.69449i) q^{77} +(-13.0200 + 1.33490i) q^{78} +1.59718i q^{79} +(-3.62239 + 10.2791i) q^{80} +(-5.46126 - 9.45918i) q^{81} +(-0.318953 - 1.19035i) q^{82} +7.57341i q^{83} +(9.17877 - 2.45944i) q^{84} +(-2.56011 + 3.73719i) q^{85} +(11.4128 + 11.4128i) q^{86} +(3.78593 - 1.01444i) q^{87} +(1.18481 - 4.42176i) q^{88} +(-4.54423 - 1.21762i) q^{89} +(2.88556 - 2.47213i) q^{90} +(-8.05520 + 9.89564i) q^{91} +(0.291695 + 0.291695i) q^{92} +(10.0383 - 5.79560i) q^{93} +(15.4690 - 8.93105i) q^{94} +(-0.991129 - 0.678959i) q^{95} +(9.19900 - 9.19900i) q^{96} +(-8.91268 + 15.4372i) q^{97} +(5.05883 - 8.76215i) q^{98} +(-2.54147 + 2.54147i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 20q - 4q^{2} - 2q^{3} - 6q^{4} - 6q^{5} - 8q^{6} - 6q^{7} + 12q^{8} - 12q^{9} + O(q^{10}) \) \( 20q - 4q^{2} - 2q^{3} - 6q^{4} - 6q^{5} - 8q^{6} - 6q^{7} + 12q^{8} - 12q^{9} - 10q^{10} - 16q^{11} + 24q^{12} + 2q^{13} + 12q^{15} - 2q^{16} - 10q^{17} + 20q^{19} + 14q^{20} + 4q^{21} + 16q^{22} - 2q^{23} - 32q^{24} - 18q^{25} - 24q^{26} + 4q^{27} + 6q^{28} + 14q^{30} - 6q^{32} - 18q^{33} - 2q^{34} - 20q^{35} + 36q^{36} + 42q^{37} + 8q^{38} - 4q^{39} - 16q^{40} + 10q^{41} - 56q^{42} - 22q^{43} + 36q^{44} + 52q^{45} + 4q^{46} + 28q^{48} - 18q^{49} + 44q^{50} + 46q^{52} - 10q^{53} + 48q^{54} + 26q^{55} - 12q^{57} - 90q^{58} + 16q^{59} - 92q^{60} - 16q^{61} - 40q^{62} - 32q^{63} - 20q^{64} + 8q^{65} - 32q^{66} - 58q^{67} + 28q^{68} + 16q^{69} + 32q^{70} - 16q^{71} - 66q^{72} + 72q^{73} - 18q^{74} - 34q^{75} - 64q^{76} + 28q^{77} + 32q^{78} - 34q^{80} - 14q^{81} + 22q^{82} + 40q^{84} - 6q^{85} + 60q^{86} + 62q^{87} + 50q^{88} + 6q^{89} - 46q^{90} + 8q^{91} - 8q^{92} + 48q^{93} + 48q^{94} + 14q^{95} + 56q^{96} - 22q^{97} + 4q^{98} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/65\mathbb{Z}\right)^\times\).

\(n\) \(27\) \(41\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{12}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.915816 1.58624i −0.647580 1.12164i −0.983699 0.179822i \(-0.942448\pi\)
0.336119 0.941819i \(-0.390885\pi\)
\(3\) 1.91432 + 0.512942i 1.10524 + 0.296147i 0.764895 0.644155i \(-0.222791\pi\)
0.340341 + 0.940302i \(0.389458\pi\)
\(4\) −0.677439 + 1.17336i −0.338719 + 0.586679i
\(5\) 1.45480 + 1.69810i 0.650608 + 0.759414i
\(6\) −0.939520 3.50634i −0.383558 1.43146i
\(7\) −3.06478 1.76945i −1.15838 0.668790i −0.207464 0.978243i \(-0.566521\pi\)
−0.950915 + 0.309453i \(0.899854\pi\)
\(8\) −1.18163 −0.417769
\(9\) 0.803451 + 0.463873i 0.267817 + 0.154624i
\(10\) 1.36126 3.86282i 0.430469 1.22153i
\(11\) −1.00269 + 3.74209i −0.302323 + 1.12828i 0.632903 + 0.774231i \(0.281863\pi\)
−0.935226 + 0.354053i \(0.884803\pi\)
\(12\) −1.89870 + 1.89870i −0.548108 + 0.548108i
\(13\) 0.573112 3.55971i 0.158953 0.987286i
\(14\) 6.48197i 1.73238i
\(15\) 1.91394 + 3.99694i 0.494177 + 1.03201i
\(16\) 2.43703 + 4.22106i 0.609258 + 1.05527i
\(17\) 0.524334 + 1.95684i 0.127170 + 0.474603i 0.999908 0.0135853i \(-0.00432448\pi\)
−0.872738 + 0.488189i \(0.837658\pi\)
\(18\) 1.69929i 0.400526i
\(19\) −0.518968 + 0.139057i −0.119059 + 0.0319019i −0.317857 0.948139i \(-0.602963\pi\)
0.198797 + 0.980041i \(0.436296\pi\)
\(20\) −2.97802 + 0.556646i −0.665906 + 0.124470i
\(21\) −4.95936 4.95936i −1.08222 1.08222i
\(22\) 6.85414 1.83656i 1.46131 0.391556i
\(23\) 0.0788026 0.294095i 0.0164315 0.0613231i −0.957223 0.289350i \(-0.906561\pi\)
0.973655 + 0.228027i \(0.0732275\pi\)
\(24\) −2.26202 0.606106i −0.461733 0.123721i
\(25\) −0.767094 + 4.94081i −0.153419 + 0.988161i
\(26\) −6.17142 + 2.35095i −1.21032 + 0.461059i
\(27\) −2.90402 2.90402i −0.558879 0.558879i
\(28\) 4.15240 2.39739i 0.784730 0.453064i
\(29\) 1.71273 0.988843i 0.318045 0.183624i −0.332476 0.943112i \(-0.607884\pi\)
0.650521 + 0.759488i \(0.274551\pi\)
\(30\) 4.58730 6.69643i 0.837522 1.22260i
\(31\) 4.13563 4.13563i 0.742781 0.742781i −0.230331 0.973112i \(-0.573981\pi\)
0.973112 + 0.230331i \(0.0739810\pi\)
\(32\) 3.28212 5.68479i 0.580202 1.00494i
\(33\) −3.83895 + 6.64926i −0.668276 + 1.15749i
\(34\) 2.62382 2.62382i 0.449982 0.449982i
\(35\) −1.45395 7.77851i −0.245762 1.31481i
\(36\) −1.08858 + 0.628491i −0.181430 + 0.104748i
\(37\) 4.69189 2.70887i 0.771342 0.445335i −0.0620109 0.998075i \(-0.519751\pi\)
0.833353 + 0.552741i \(0.186418\pi\)
\(38\) 0.695857 + 0.695857i 0.112883 + 0.112883i
\(39\) 2.92305 6.52047i 0.468062 1.04411i
\(40\) −1.71904 2.00652i −0.271803 0.317259i
\(41\) 0.649884 + 0.174136i 0.101495 + 0.0271955i 0.309209 0.950994i \(-0.399936\pi\)
−0.207714 + 0.978190i \(0.566602\pi\)
\(42\) −3.32487 + 12.4086i −0.513039 + 1.91469i
\(43\) −8.51164 + 2.28069i −1.29801 + 0.347802i −0.840698 0.541504i \(-0.817855\pi\)
−0.457314 + 0.889305i \(0.651189\pi\)
\(44\) −3.71155 3.71155i −0.559538 0.559538i
\(45\) 0.381161 + 2.03919i 0.0568201 + 0.303984i
\(46\) −0.538675 + 0.144337i −0.0794232 + 0.0212814i
\(47\) 9.75201i 1.42248i 0.702951 + 0.711238i \(0.251865\pi\)
−0.702951 + 0.711238i \(0.748135\pi\)
\(48\) 2.50011 + 9.33053i 0.360860 + 1.34675i
\(49\) 2.76192 + 4.78379i 0.394561 + 0.683399i
\(50\) 8.53982 3.30807i 1.20771 0.467832i
\(51\) 4.01498i 0.562209i
\(52\) 3.78857 + 3.08395i 0.525380 + 0.427667i
\(53\) 3.16254 3.16254i 0.434409 0.434409i −0.455716 0.890125i \(-0.650617\pi\)
0.890125 + 0.455716i \(0.150617\pi\)
\(54\) −1.94693 + 7.26602i −0.264943 + 0.988781i
\(55\) −7.81317 + 3.74134i −1.05353 + 0.504482i
\(56\) 3.62143 + 2.09083i 0.483934 + 0.279399i
\(57\) −1.06480 −0.141036
\(58\) −3.13709 1.81120i −0.411919 0.237822i
\(59\) −3.14703 11.7449i −0.409708 1.52905i −0.795203 0.606343i \(-0.792636\pi\)
0.385495 0.922710i \(-0.374031\pi\)
\(60\) −5.98642 0.461950i −0.772844 0.0596374i
\(61\) 1.44316 2.49963i 0.184778 0.320044i −0.758724 0.651412i \(-0.774177\pi\)
0.943502 + 0.331368i \(0.107510\pi\)
\(62\) −10.3476 2.77263i −1.31414 0.352124i
\(63\) −1.64160 2.84334i −0.206822 0.358227i
\(64\) −2.27514 −0.284392
\(65\) 6.87851 4.20548i 0.853175 0.521625i
\(66\) 14.0631 1.73105
\(67\) −1.14494 1.98310i −0.139877 0.242274i 0.787573 0.616222i \(-0.211337\pi\)
−0.927450 + 0.373947i \(0.878004\pi\)
\(68\) −2.65128 0.710408i −0.321515 0.0861496i
\(69\) 0.301707 0.522573i 0.0363213 0.0629104i
\(70\) −11.0070 + 9.43000i −1.31559 + 1.12710i
\(71\) −1.19607 4.46378i −0.141947 0.529753i −0.999872 0.0159789i \(-0.994914\pi\)
0.857925 0.513774i \(-0.171753\pi\)
\(72\) −0.949380 0.548125i −0.111886 0.0645972i
\(73\) 14.7546 1.72690 0.863449 0.504436i \(-0.168299\pi\)
0.863449 + 0.504436i \(0.168299\pi\)
\(74\) −8.59382 4.96165i −0.999011 0.576780i
\(75\) −4.00281 + 9.06483i −0.462205 + 1.04672i
\(76\) 0.188405 0.703137i 0.0216115 0.0806554i
\(77\) 9.69449 9.69449i 1.10479 1.10479i
\(78\) −13.0200 + 1.33490i −1.47422 + 0.151147i
\(79\) 1.59718i 0.179696i 0.995955 + 0.0898482i \(0.0286382\pi\)
−0.995955 + 0.0898482i \(0.971362\pi\)
\(80\) −3.62239 + 10.2791i −0.404995 + 1.14924i
\(81\) −5.46126 9.45918i −0.606807 1.05102i
\(82\) −0.318953 1.19035i −0.0352225 0.131452i
\(83\) 7.57341i 0.831290i 0.909527 + 0.415645i \(0.136444\pi\)
−0.909527 + 0.415645i \(0.863556\pi\)
\(84\) 9.17877 2.45944i 1.00149 0.268347i
\(85\) −2.56011 + 3.73719i −0.277683 + 0.405355i
\(86\) 11.4128 + 11.4128i 1.23068 + 1.23068i
\(87\) 3.78593 1.01444i 0.405895 0.108759i
\(88\) 1.18481 4.42176i 0.126301 0.471361i
\(89\) −4.54423 1.21762i −0.481687 0.129068i 0.00980081 0.999952i \(-0.496880\pi\)
−0.491488 + 0.870884i \(0.663547\pi\)
\(90\) 2.88556 2.47213i 0.304165 0.260586i
\(91\) −8.05520 + 9.89564i −0.844415 + 1.03735i
\(92\) 0.291695 + 0.291695i 0.0304113 + 0.0304113i
\(93\) 10.0383 5.79560i 1.04092 0.600976i
\(94\) 15.4690 8.93105i 1.59551 0.921167i
\(95\) −0.991129 0.678959i −0.101688 0.0696597i
\(96\) 9.19900 9.19900i 0.938869 0.938869i
\(97\) −8.91268 + 15.4372i −0.904945 + 1.56741i −0.0839547 + 0.996470i \(0.526755\pi\)
−0.820991 + 0.570942i \(0.806578\pi\)
\(98\) 5.05883 8.76215i 0.511019 0.885111i
\(99\) −2.54147 + 2.54147i −0.255427 + 0.255427i
\(100\) −5.27768 4.24717i −0.527768 0.424717i
\(101\) −3.94379 + 2.27695i −0.392421 + 0.226565i −0.683209 0.730223i \(-0.739416\pi\)
0.290787 + 0.956788i \(0.406083\pi\)
\(102\) 6.36872 3.67698i 0.630597 0.364075i
\(103\) −9.79285 9.79285i −0.964918 0.964918i 0.0344872 0.999405i \(-0.489020\pi\)
−0.999405 + 0.0344872i \(0.989020\pi\)
\(104\) −0.677205 + 4.20625i −0.0664055 + 0.412457i
\(105\) 1.20660 15.6364i 0.117752 1.52596i
\(106\) −7.91286 2.12024i −0.768565 0.205936i
\(107\) −1.82991 + 6.82933i −0.176904 + 0.660216i 0.819315 + 0.573344i \(0.194354\pi\)
−0.996219 + 0.0868725i \(0.972313\pi\)
\(108\) 5.37475 1.44016i 0.517186 0.138580i
\(109\) 9.89281 + 9.89281i 0.947560 + 0.947560i 0.998692 0.0511324i \(-0.0162830\pi\)
−0.0511324 + 0.998692i \(0.516283\pi\)
\(110\) 13.0901 + 8.96719i 1.24809 + 0.854988i
\(111\) 10.3713 2.77898i 0.984399 0.263769i
\(112\) 17.2488i 1.62986i
\(113\) 0.593341 + 2.21438i 0.0558168 + 0.208311i 0.988202 0.153154i \(-0.0489432\pi\)
−0.932385 + 0.361466i \(0.882277\pi\)
\(114\) 0.975161 + 1.68903i 0.0913322 + 0.158192i
\(115\) 0.614046 0.294036i 0.0572601 0.0274190i
\(116\) 2.67952i 0.248787i
\(117\) 2.11172 2.59420i 0.195229 0.239834i
\(118\) −15.7481 + 15.7481i −1.44973 + 1.44973i
\(119\) 1.85557 6.92507i 0.170099 0.634820i
\(120\) −2.26156 4.72290i −0.206452 0.431140i
\(121\) −3.47160 2.00433i −0.315600 0.182212i
\(122\) −5.28668 −0.478633
\(123\) 1.15477 + 0.666705i 0.104122 + 0.0601148i
\(124\) 2.05094 + 7.65421i 0.184180 + 0.687368i
\(125\) −9.50596 + 5.88530i −0.850239 + 0.526397i
\(126\) −3.00681 + 5.20795i −0.267868 + 0.463961i
\(127\) −1.24225 0.332860i −0.110232 0.0295366i 0.203281 0.979120i \(-0.434839\pi\)
−0.313513 + 0.949584i \(0.601506\pi\)
\(128\) −4.48062 7.76067i −0.396035 0.685953i
\(129\) −17.4639 −1.53761
\(130\) −12.9704 7.05953i −1.13758 0.619162i
\(131\) −5.59439 −0.488785 −0.244392 0.969676i \(-0.578588\pi\)
−0.244392 + 0.969676i \(0.578588\pi\)
\(132\) −5.20131 9.00893i −0.452716 0.784127i
\(133\) 1.83658 + 0.492109i 0.159251 + 0.0426713i
\(134\) −2.09712 + 3.63231i −0.181163 + 0.313784i
\(135\) 0.706541 9.15610i 0.0608094 0.788032i
\(136\) −0.619567 2.31226i −0.0531274 0.198274i
\(137\) 12.3757 + 7.14509i 1.05732 + 0.610446i 0.924691 0.380719i \(-0.124324\pi\)
0.132633 + 0.991165i \(0.457657\pi\)
\(138\) −1.10523 −0.0940838
\(139\) 15.0832 + 8.70830i 1.27934 + 0.738629i 0.976727 0.214484i \(-0.0688071\pi\)
0.302615 + 0.953113i \(0.402140\pi\)
\(140\) 10.1119 + 3.56347i 0.854615 + 0.301168i
\(141\) −5.00221 + 18.6685i −0.421262 + 1.57217i
\(142\) −5.98525 + 5.98525i −0.502271 + 0.502271i
\(143\) 12.7461 + 5.71393i 1.06588 + 0.477823i
\(144\) 4.52189i 0.376824i
\(145\) 4.17084 + 1.46981i 0.346369 + 0.122061i
\(146\) −13.5125 23.4044i −1.11830 1.93696i
\(147\) 2.83341 + 10.5744i 0.233696 + 0.872165i
\(148\) 7.34036i 0.603374i
\(149\) −12.6828 + 3.39833i −1.03901 + 0.278402i −0.737704 0.675124i \(-0.764090\pi\)
−0.301308 + 0.953527i \(0.597423\pi\)
\(150\) 18.0448 1.95230i 1.47335 0.159404i
\(151\) 0.765191 + 0.765191i 0.0622704 + 0.0622704i 0.737556 0.675286i \(-0.235980\pi\)
−0.675286 + 0.737556i \(0.735980\pi\)
\(152\) 0.613227 0.164314i 0.0497392 0.0133276i
\(153\) −0.486448 + 1.81545i −0.0393270 + 0.146770i
\(154\) −24.2562 6.49942i −1.95462 0.523738i
\(155\) 13.0392 + 1.00619i 1.04734 + 0.0808190i
\(156\) 5.67066 + 7.84700i 0.454016 + 0.628263i
\(157\) 3.03481 + 3.03481i 0.242204 + 0.242204i 0.817762 0.575557i \(-0.195215\pi\)
−0.575557 + 0.817762i \(0.695215\pi\)
\(158\) 2.53350 1.46272i 0.201555 0.116368i
\(159\) 7.67633 4.43193i 0.608773 0.351475i
\(160\) 14.4282 2.69689i 1.14065 0.213208i
\(161\) −0.761901 + 0.761901i −0.0600462 + 0.0600462i
\(162\) −10.0030 + 17.3257i −0.785912 + 1.36124i
\(163\) −1.13179 + 1.96032i −0.0886486 + 0.153544i −0.906940 0.421260i \(-0.861588\pi\)
0.818292 + 0.574803i \(0.194921\pi\)
\(164\) −0.644580 + 0.644580i −0.0503333 + 0.0503333i
\(165\) −16.8760 + 3.15444i −1.31380 + 0.245573i
\(166\) 12.0133 6.93585i 0.932409 0.538327i
\(167\) −0.536563 + 0.309785i −0.0415205 + 0.0239719i −0.520617 0.853791i \(-0.674298\pi\)
0.479096 + 0.877762i \(0.340965\pi\)
\(168\) 5.86012 + 5.86012i 0.452118 + 0.452118i
\(169\) −12.3431 4.08023i −0.949468 0.313864i
\(170\) 8.27267 + 0.638370i 0.634485 + 0.0489608i
\(171\) −0.481470 0.129009i −0.0368189 0.00986560i
\(172\) 3.09005 11.5322i 0.235614 0.879324i
\(173\) −6.39606 + 1.71382i −0.486283 + 0.130299i −0.493627 0.869674i \(-0.664329\pi\)
0.00734343 + 0.999973i \(0.497662\pi\)
\(174\) −5.07636 5.07636i −0.384838 0.384838i
\(175\) 11.0935 13.7852i 0.838590 1.04206i
\(176\) −18.2392 + 4.88718i −1.37483 + 0.368385i
\(177\) 24.0977i 1.81130i
\(178\) 2.23024 + 8.32336i 0.167163 + 0.623862i
\(179\) 1.09512 + 1.89680i 0.0818528 + 0.141773i 0.904046 0.427436i \(-0.140583\pi\)
−0.822193 + 0.569209i \(0.807250\pi\)
\(180\) −2.65091 0.934185i −0.197587 0.0696300i
\(181\) 9.59255i 0.713009i −0.934294 0.356504i \(-0.883969\pi\)
0.934294 0.356504i \(-0.116031\pi\)
\(182\) 23.0739 + 3.71490i 1.71035 + 0.275367i
\(183\) 4.04484 4.04484i 0.299003 0.299003i
\(184\) −0.0931154 + 0.347511i −0.00686456 + 0.0256189i
\(185\) 11.4257 + 4.02644i 0.840035 + 0.296030i
\(186\) −18.3864 10.6154i −1.34816 0.778359i
\(187\) −7.84842 −0.573933
\(188\) −11.4426 6.60639i −0.834537 0.481820i
\(189\) 3.76166 + 14.0387i 0.273621 + 1.02117i
\(190\) −0.169300 + 2.19397i −0.0122823 + 0.159167i
\(191\) −1.86557 + 3.23126i −0.134988 + 0.233806i −0.925593 0.378521i \(-0.876433\pi\)
0.790605 + 0.612326i \(0.209766\pi\)
\(192\) −4.35536 1.16701i −0.314321 0.0842220i
\(193\) −0.142043 0.246025i −0.0102245 0.0177093i 0.860868 0.508829i \(-0.169921\pi\)
−0.871092 + 0.491119i \(0.836588\pi\)
\(194\) 32.6495 2.34410
\(195\) 15.3249 4.52237i 1.09744 0.323854i
\(196\) −7.48414 −0.534581
\(197\) −12.9246 22.3860i −0.920838 1.59494i −0.798122 0.602496i \(-0.794173\pi\)
−0.122716 0.992442i \(-0.539160\pi\)
\(198\) 6.35890 + 1.70386i 0.451907 + 0.121088i
\(199\) 2.87625 4.98181i 0.203892 0.353151i −0.745887 0.666072i \(-0.767974\pi\)
0.949779 + 0.312921i \(0.101308\pi\)
\(200\) 0.906420 5.83819i 0.0640936 0.412823i
\(201\) −1.17458 4.38359i −0.0828484 0.309194i
\(202\) 7.22357 + 4.17053i 0.508248 + 0.293437i
\(203\) −6.99884 −0.491223
\(204\) −4.71101 2.71990i −0.329836 0.190431i
\(205\) 0.649753 + 1.35690i 0.0453807 + 0.0947702i
\(206\) −6.56536 + 24.5023i −0.457430 + 1.70715i
\(207\) 0.199737 0.199737i 0.0138827 0.0138827i
\(208\) 16.4225 6.25598i 1.13869 0.433774i
\(209\) 2.08146i 0.143977i
\(210\) −25.9081 + 12.4061i −1.78783 + 0.856102i
\(211\) 1.61372 + 2.79504i 0.111093 + 0.192418i 0.916211 0.400696i \(-0.131232\pi\)
−0.805118 + 0.593114i \(0.797898\pi\)
\(212\) 1.56837 + 5.85322i 0.107716 + 0.402001i
\(213\) 9.15863i 0.627539i
\(214\) 12.5088 3.35173i 0.855085 0.229119i
\(215\) −16.2556 11.1357i −1.10862 0.759447i
\(216\) 3.43147 + 3.43147i 0.233482 + 0.233482i
\(217\) −19.9926 + 5.35700i −1.35719 + 0.363657i
\(218\) 6.63238 24.7524i 0.449201 1.67644i
\(219\) 28.2451 + 7.56826i 1.90863 + 0.511416i
\(220\) 0.903013 11.7022i 0.0608811 0.788961i
\(221\) 7.26628 0.744987i 0.488783 0.0501133i
\(222\) −13.9063 13.9063i −0.933331 0.933331i
\(223\) 6.42178 3.70762i 0.430034 0.248280i −0.269327 0.963049i \(-0.586801\pi\)
0.699361 + 0.714768i \(0.253468\pi\)
\(224\) −20.1179 + 11.6151i −1.34419 + 0.776067i
\(225\) −2.90823 + 3.61386i −0.193882 + 0.240924i
\(226\) 2.96914 2.96914i 0.197504 0.197504i
\(227\) 1.95115 3.37949i 0.129502 0.224305i −0.793981 0.607942i \(-0.791995\pi\)
0.923484 + 0.383637i \(0.125329\pi\)
\(228\) 0.721337 1.24939i 0.0477717 0.0827430i
\(229\) −12.3946 + 12.3946i −0.819060 + 0.819060i −0.985972 0.166912i \(-0.946621\pi\)
0.166912 + 0.985972i \(0.446621\pi\)
\(230\) −1.02877 0.704741i −0.0678348 0.0464693i
\(231\) 23.5311 13.5857i 1.54823 0.893872i
\(232\) −2.02381 + 1.16844i −0.132869 + 0.0767121i
\(233\) −2.88962 2.88962i −0.189305 0.189305i 0.606090 0.795396i \(-0.292737\pi\)
−0.795396 + 0.606090i \(0.792737\pi\)
\(234\) −6.04898 0.973883i −0.395434 0.0636647i
\(235\) −16.5599 + 14.1873i −1.08025 + 0.925474i
\(236\) 15.9129 + 4.26384i 1.03584 + 0.277552i
\(237\) −0.819258 + 3.05751i −0.0532165 + 0.198607i
\(238\) −12.6842 + 3.39872i −0.822193 + 0.220306i
\(239\) 8.97299 + 8.97299i 0.580415 + 0.580415i 0.935017 0.354602i \(-0.115384\pi\)
−0.354602 + 0.935017i \(0.615384\pi\)
\(240\) −12.2070 + 17.8195i −0.787960 + 1.15025i
\(241\) 16.9497 4.54165i 1.09183 0.292554i 0.332394 0.943141i \(-0.392144\pi\)
0.759432 + 0.650587i \(0.225477\pi\)
\(242\) 7.34239i 0.471986i
\(243\) −2.41378 9.00835i −0.154844 0.577886i
\(244\) 1.95530 + 3.38669i 0.125176 + 0.216810i
\(245\) −4.10531 + 11.6495i −0.262278 + 0.744260i
\(246\) 2.44232i 0.155716i
\(247\) 0.197576 + 1.92707i 0.0125715 + 0.122617i
\(248\) −4.88677 + 4.88677i −0.310311 + 0.310311i
\(249\) −3.88472 + 14.4980i −0.246184 + 0.918771i
\(250\) 18.0412 + 9.68888i 1.14103 + 0.612779i
\(251\) 18.8524 + 10.8845i 1.18996 + 0.687021i 0.958296 0.285776i \(-0.0922513\pi\)
0.231659 + 0.972797i \(0.425585\pi\)
\(252\) 4.44834 0.280219
\(253\) 1.02152 + 0.589774i 0.0642223 + 0.0370787i
\(254\) 0.609678 + 2.27535i 0.0382546 + 0.142768i
\(255\) −6.81784 + 5.84100i −0.426950 + 0.365778i
\(256\) −10.4820 + 18.1554i −0.655125 + 1.13471i
\(257\) 12.3766 + 3.31629i 0.772029 + 0.206864i 0.623268 0.782009i \(-0.285805\pi\)
0.148761 + 0.988873i \(0.452471\pi\)
\(258\) 15.9937 + 27.7019i 0.995725 + 1.72465i
\(259\) −19.1728 −1.19134
\(260\) 0.274759 + 10.9199i 0.0170398 + 0.677224i
\(261\) 1.83479 0.113571
\(262\) 5.12344 + 8.87405i 0.316527 + 0.548241i
\(263\) −15.9426 4.27179i −0.983060 0.263410i −0.268727 0.963216i \(-0.586603\pi\)
−0.714333 + 0.699806i \(0.753270\pi\)
\(264\) 4.53621 7.85695i 0.279185 0.483562i
\(265\) 9.97120 + 0.769439i 0.612526 + 0.0472663i
\(266\) −0.901363 3.36393i −0.0552661 0.206256i
\(267\) −8.07456 4.66185i −0.494155 0.285301i
\(268\) 3.10252 0.189516
\(269\) −27.9787 16.1535i −1.70589 0.984895i −0.939519 0.342495i \(-0.888728\pi\)
−0.766370 0.642400i \(-0.777939\pi\)
\(270\) −15.1708 + 7.26456i −0.923268 + 0.442107i
\(271\) 4.52218 16.8770i 0.274703 1.02521i −0.681337 0.731970i \(-0.738601\pi\)
0.956040 0.293236i \(-0.0947321\pi\)
\(272\) −6.98212 + 6.98212i −0.423353 + 0.423353i
\(273\) −20.4962 + 14.8116i −1.24048 + 0.896440i
\(274\) 26.1743i 1.58125i
\(275\) −17.7198 7.82464i −1.06854 0.471844i
\(276\) 0.408777 + 0.708022i 0.0246055 + 0.0426179i
\(277\) −0.795705 2.96961i −0.0478093 0.178427i 0.937892 0.346926i \(-0.112775\pi\)
−0.985702 + 0.168499i \(0.946108\pi\)
\(278\) 31.9008i 1.91328i
\(279\) 5.24118 1.40437i 0.313781 0.0840775i
\(280\) 1.71802 + 9.19131i 0.102671 + 0.549286i
\(281\) −18.6757 18.6757i −1.11410 1.11410i −0.992590 0.121508i \(-0.961227\pi\)
−0.121508 0.992590i \(-0.538773\pi\)
\(282\) 34.1938 9.16221i 2.03621 0.545602i
\(283\) −3.97005 + 14.8164i −0.235995 + 0.880745i 0.741703 + 0.670728i \(0.234018\pi\)
−0.977698 + 0.210016i \(0.932648\pi\)
\(284\) 6.04787 + 1.62052i 0.358875 + 0.0961603i
\(285\) −1.54907 1.80814i −0.0917593 0.107105i
\(286\) −2.60944 25.4513i −0.154299 1.50497i
\(287\) −1.68363 1.68363i −0.0993814 0.0993814i
\(288\) 5.27404 3.04497i 0.310776 0.179427i
\(289\) 11.1681 6.44793i 0.656949 0.379290i
\(290\) −1.48825 7.96202i −0.0873929 0.467546i
\(291\) −24.9801 + 24.9801i −1.46436 + 1.46436i
\(292\) −9.99535 + 17.3125i −0.584934 + 1.01314i
\(293\) 5.18835 8.98649i 0.303107 0.524996i −0.673731 0.738976i \(-0.735309\pi\)
0.976838 + 0.213980i \(0.0686428\pi\)
\(294\) 14.1787 14.1787i 0.826919 0.826919i
\(295\) 15.3657 22.4305i 0.894624 1.30595i
\(296\) −5.54407 + 3.20087i −0.322243 + 0.186047i
\(297\) 13.7790 7.95528i 0.799536 0.461612i
\(298\) 17.0057 + 17.0057i 0.985111 + 0.985111i
\(299\) −1.00173 0.449064i −0.0579316 0.0259701i
\(300\) −7.92463 10.8376i −0.457529 0.625709i
\(301\) 30.1219 + 8.07113i 1.73620 + 0.465212i
\(302\) 0.513002 1.91455i 0.0295200 0.110170i
\(303\) −8.71763 + 2.33588i −0.500814 + 0.134193i
\(304\) −1.85171 1.85171i −0.106203 0.106203i
\(305\) 6.34413 1.18583i 0.363264 0.0679006i
\(306\) 3.32524 0.890994i 0.190091 0.0509347i
\(307\) 2.13935i 0.122099i 0.998135 + 0.0610496i \(0.0194448\pi\)
−0.998135 + 0.0610496i \(0.980555\pi\)
\(308\) 4.80768 + 17.9425i 0.273943 + 1.02237i
\(309\) −13.7235 23.7698i −0.780704 1.35222i
\(310\) −10.3455 21.6049i −0.587585 1.22707i
\(311\) 3.82084i 0.216660i 0.994115 + 0.108330i \(0.0345503\pi\)
−0.994115 + 0.108330i \(0.965450\pi\)
\(312\) −3.45395 + 7.70477i −0.195542 + 0.436196i
\(313\) 3.04531 3.04531i 0.172131 0.172131i −0.615784 0.787915i \(-0.711161\pi\)
0.787915 + 0.615784i \(0.211161\pi\)
\(314\) 2.03461 7.59327i 0.114820 0.428513i
\(315\) 2.44007 6.92410i 0.137482 0.390129i
\(316\) −1.87406 1.08199i −0.105424 0.0608666i
\(317\) −23.1127 −1.29814 −0.649068 0.760730i \(-0.724841\pi\)
−0.649068 + 0.760730i \(0.724841\pi\)
\(318\) −14.0602 8.11767i −0.788458 0.455216i
\(319\) 1.98301 + 7.40069i 0.111027 + 0.414359i
\(320\) −3.30988 3.86342i −0.185028 0.215972i
\(321\) −7.00609 + 12.1349i −0.391042 + 0.677305i
\(322\) 1.90632 + 0.510796i 0.106235 + 0.0284656i
\(323\) −0.544224 0.942624i −0.0302814 0.0524490i
\(324\) 14.7987 0.822149
\(325\) 17.1482 + 5.56227i 0.951212 + 0.308539i
\(326\) 4.14604 0.229628
\(327\) 13.8636 + 24.0125i 0.766660 + 1.32789i
\(328\) −0.767921 0.205764i −0.0424013 0.0113614i
\(329\) 17.2557 29.8878i 0.951338 1.64777i
\(330\) 20.4590 + 23.8806i 1.12623 + 1.31458i
\(331\) 0.516858 + 1.92894i 0.0284091 + 0.106024i 0.978675 0.205417i \(-0.0658550\pi\)
−0.950265 + 0.311441i \(0.899188\pi\)
\(332\) −8.88632 5.13052i −0.487700 0.281574i
\(333\) 5.02628 0.275438
\(334\) 0.982786 + 0.567412i 0.0537756 + 0.0310474i
\(335\) 1.70184 4.82925i 0.0929813 0.263850i
\(336\) 8.84765 33.0199i 0.482679 1.80138i
\(337\) −6.12727 + 6.12727i −0.333773 + 0.333773i −0.854018 0.520244i \(-0.825841\pi\)
0.520244 + 0.854018i \(0.325841\pi\)
\(338\) 4.83178 + 23.3158i 0.262814 + 1.26821i
\(339\) 4.54338i 0.246763i
\(340\) −2.65074 5.53564i −0.143757 0.300212i
\(341\) 11.3292 + 19.6227i 0.613508 + 1.06263i
\(342\) 0.236298 + 0.881876i 0.0127775 + 0.0476864i
\(343\) 5.22396i 0.282067i
\(344\) 10.0576 2.69492i 0.542269 0.145301i
\(345\) 1.32631 0.247911i 0.0714059 0.0133471i
\(346\) 8.57614 + 8.57614i 0.461056 + 0.461056i
\(347\) 31.4009 8.41384i 1.68569 0.451679i 0.716417 0.697673i \(-0.245781\pi\)
0.969271 + 0.245994i \(0.0791144\pi\)
\(348\) −1.37444 + 5.12947i −0.0736776 + 0.274969i
\(349\) −6.57321 1.76129i −0.351856 0.0942795i 0.0785620 0.996909i \(-0.474967\pi\)
−0.430418 + 0.902630i \(0.641634\pi\)
\(350\) −32.0262 4.97228i −1.71187 0.265780i
\(351\) −12.0018 + 8.67315i −0.640609 + 0.462938i
\(352\) 17.9821 + 17.9821i 0.958448 + 0.958448i
\(353\) −23.6652 + 13.6631i −1.25957 + 0.727213i −0.972991 0.230843i \(-0.925852\pi\)
−0.286579 + 0.958057i \(0.592518\pi\)
\(354\) −38.2248 + 22.0691i −2.03163 + 1.17296i
\(355\) 5.83991 8.52496i 0.309950 0.452458i
\(356\) 4.50714 4.50714i 0.238878 0.238878i
\(357\) 7.10431 12.3050i 0.376000 0.651251i
\(358\) 2.00585 3.47423i 0.106012 0.183619i
\(359\) −3.89871 + 3.89871i −0.205766 + 0.205766i −0.802465 0.596699i \(-0.796479\pi\)
0.596699 + 0.802465i \(0.296479\pi\)
\(360\) −0.450390 2.40956i −0.0237376 0.126995i
\(361\) −16.2045 + 9.35567i −0.852868 + 0.492404i
\(362\) −15.2161 + 8.78501i −0.799740 + 0.461730i
\(363\) −5.61766 5.61766i −0.294851 0.294851i
\(364\) −6.15423 16.1553i −0.322569 0.846769i
\(365\) 21.4651 + 25.0548i 1.12353 + 1.31143i
\(366\) −10.1204 2.71176i −0.529003 0.141746i
\(367\) 4.67826 17.4595i 0.244203 0.911378i −0.729579 0.683896i \(-0.760284\pi\)
0.973782 0.227482i \(-0.0730493\pi\)
\(368\) 1.43344 0.384089i 0.0747232 0.0200220i
\(369\) 0.441373 + 0.441373i 0.0229770 + 0.0229770i
\(370\) −4.07695 21.8114i −0.211950 1.13392i
\(371\) −15.2885 + 4.09653i −0.793738 + 0.212681i
\(372\) 15.7046i 0.814248i
\(373\) 4.01536 + 14.9855i 0.207907 + 0.775921i 0.988544 + 0.150936i \(0.0482286\pi\)
−0.780636 + 0.624986i \(0.785105\pi\)
\(374\) 7.18771 + 12.4495i 0.371668 + 0.643747i
\(375\) −21.2163 + 6.39037i −1.09561 + 0.329997i
\(376\) 11.5232i 0.594266i
\(377\) −2.53841 6.66353i −0.130735 0.343189i
\(378\) 18.8238 18.8238i 0.968191 0.968191i
\(379\) 5.53029 20.6393i 0.284072 1.06017i −0.665443 0.746449i \(-0.731757\pi\)
0.949515 0.313722i \(-0.101576\pi\)
\(380\) 1.46809 0.702996i 0.0753115 0.0360629i
\(381\) −2.20733 1.27440i −0.113085 0.0652897i
\(382\) 6.83407 0.349661
\(383\) 16.8072 + 9.70362i 0.858806 + 0.495832i 0.863612 0.504157i \(-0.168197\pi\)
−0.00480620 + 0.999988i \(0.501530\pi\)
\(384\) −4.59660 17.1547i −0.234569 0.875424i
\(385\) 30.5658 + 2.35865i 1.55778 + 0.120208i
\(386\) −0.260170 + 0.450628i −0.0132423 + 0.0229364i
\(387\) −7.89664 2.11590i −0.401409 0.107557i
\(388\) −12.0756 20.9155i −0.613045 1.06182i
\(389\) 14.8591 0.753387 0.376693 0.926338i \(-0.377061\pi\)
0.376693 + 0.926338i \(0.377061\pi\)
\(390\) −21.2083 20.1673i −1.07393 1.02121i
\(391\) 0.616816 0.0311937
\(392\) −3.26357 5.65266i −0.164835 0.285503i
\(393\) −10.7095 2.86960i −0.540222 0.144752i
\(394\) −23.6731 + 41.0030i −1.19263 + 2.06570i
\(395\) −2.71217 + 2.32358i −0.136464 + 0.116912i
\(396\) −1.26036 4.70374i −0.0633357 0.236372i
\(397\) −4.57070 2.63889i −0.229397 0.132442i 0.380897 0.924617i \(-0.375615\pi\)
−0.610294 + 0.792175i \(0.708949\pi\)
\(398\) −10.5365 −0.528145
\(399\) 3.26338 + 1.88411i 0.163373 + 0.0943236i
\(400\) −22.7249 + 8.80295i −1.13624 + 0.440147i
\(401\) 7.21557 26.9289i 0.360328 1.34476i −0.513317 0.858199i \(-0.671583\pi\)
0.873645 0.486564i \(-0.161750\pi\)
\(402\) −5.87772 + 5.87772i −0.293154 + 0.293154i
\(403\) −12.3515 17.0918i −0.615270 0.851404i
\(404\) 6.16996i 0.306967i
\(405\) 8.11759 23.0350i 0.403366 1.14462i
\(406\) 6.40965 + 11.1018i 0.318106 + 0.550975i
\(407\) 5.43231 + 20.2737i 0.269270 + 1.00493i
\(408\) 4.74421i 0.234873i
\(409\) −2.54532 + 0.682016i −0.125858 + 0.0337235i −0.321198 0.947012i \(-0.604086\pi\)
0.195340 + 0.980736i \(0.437419\pi\)
\(410\) 1.55732 2.27334i 0.0769105 0.112272i
\(411\) 20.0260 + 20.0260i 0.987810 + 0.987810i
\(412\) 18.1246 4.85646i 0.892933 0.239261i
\(413\) −11.1370 + 41.5640i −0.548018 + 2.04523i
\(414\) −0.499753 0.133908i −0.0245615 0.00658124i
\(415\) −12.8604 + 11.0178i −0.631293 + 0.540844i
\(416\) −18.3552 14.9414i −0.899938 0.732563i
\(417\) 24.4073 + 24.4073i 1.19523 + 1.19523i
\(418\) −3.30169 + 1.90623i −0.161491 + 0.0932368i
\(419\) −17.0348 + 9.83506i −0.832205 + 0.480474i −0.854607 0.519275i \(-0.826202\pi\)
0.0224018 + 0.999749i \(0.492869\pi\)
\(420\) 17.5297 + 12.0085i 0.855361 + 0.585953i
\(421\) 10.4427 10.4427i 0.508948 0.508948i −0.405256 0.914203i \(-0.632817\pi\)
0.914203 + 0.405256i \(0.132817\pi\)
\(422\) 2.95573 5.11948i 0.143883 0.249212i
\(423\) −4.52369 + 7.83526i −0.219949 + 0.380964i
\(424\) −3.73695 + 3.73695i −0.181482 + 0.181482i
\(425\) −10.0706 + 1.08955i −0.488495 + 0.0528509i
\(426\) −14.5278 + 8.38762i −0.703874 + 0.406382i
\(427\) −8.84594 + 5.10721i −0.428085 + 0.247155i
\(428\) −6.77359 6.77359i −0.327414 0.327414i
\(429\) 21.4693 + 17.4763i 1.03655 + 0.843765i
\(430\) −2.77671 + 35.9835i −0.133905 + 1.73528i
\(431\) 16.5486 + 4.43419i 0.797119 + 0.213587i 0.634319 0.773072i \(-0.281281\pi\)
0.162800 + 0.986659i \(0.447947\pi\)
\(432\) 5.18086 19.3352i 0.249264 0.930267i
\(433\) 10.8538 2.90826i 0.521599 0.139762i 0.0115927 0.999933i \(-0.496310\pi\)
0.510006 + 0.860171i \(0.329643\pi\)
\(434\) 26.8070 + 26.8070i 1.28678 + 1.28678i
\(435\) 7.23040 + 4.95309i 0.346671 + 0.237482i
\(436\) −18.3096 + 4.90604i −0.876870 + 0.234957i
\(437\) 0.163584i 0.00782528i
\(438\) −13.8623 51.7347i −0.662365 2.47198i
\(439\) −2.12218 3.67572i −0.101286 0.175432i 0.810929 0.585145i \(-0.198962\pi\)
−0.912215 + 0.409712i \(0.865629\pi\)
\(440\) 9.23226 4.42087i 0.440131 0.210757i
\(441\) 5.12473i 0.244035i
\(442\) −7.83631 10.8438i −0.372735 0.515787i
\(443\) 15.1569 15.1569i 0.720126 0.720126i −0.248505 0.968631i \(-0.579939\pi\)
0.968631 + 0.248505i \(0.0799392\pi\)
\(444\) −3.76518 + 14.0518i −0.178687 + 0.666870i
\(445\) −4.54331 9.48796i −0.215374 0.449773i
\(446\) −11.7623 6.79099i −0.556963 0.321563i
\(447\) −26.0221 −1.23080
\(448\) 6.97281 + 4.02575i 0.329434 + 0.190199i
\(449\) 3.76524 + 14.0521i 0.177693 + 0.663158i 0.996077 + 0.0884873i \(0.0282033\pi\)
−0.818385 + 0.574671i \(0.805130\pi\)
\(450\) 8.39586 + 1.30351i 0.395785 + 0.0614483i
\(451\) −1.30327 + 2.25732i −0.0613684 + 0.106293i
\(452\) −3.00021 0.803904i −0.141118 0.0378124i
\(453\) 1.07233 + 1.85732i 0.0503822 + 0.0872646i
\(454\) −7.14758 −0.335453
\(455\) −28.5225 + 0.717664i −1.33716 + 0.0336446i
\(456\) 1.25820 0.0589205
\(457\) −15.1476 26.2365i −0.708576 1.22729i −0.965385 0.260828i \(-0.916004\pi\)
0.256809 0.966462i \(-0.417329\pi\)
\(458\) 31.0121 + 8.30966i 1.44910 + 0.388285i
\(459\) 4.16003 7.20538i 0.194173 0.336318i
\(460\) −0.0709688 + 0.919687i −0.00330894 + 0.0428806i
\(461\) 1.79565 + 6.70146i 0.0836318 + 0.312118i 0.995052 0.0993596i \(-0.0316794\pi\)
−0.911420 + 0.411478i \(0.865013\pi\)
\(462\) −43.1003 24.8840i −2.00521 1.15771i
\(463\) 31.4463 1.46143 0.730717 0.682680i \(-0.239186\pi\)
0.730717 + 0.682680i \(0.239186\pi\)
\(464\) 8.34794 + 4.81968i 0.387543 + 0.223748i
\(465\) 24.4452 + 8.61454i 1.13362 + 0.399490i
\(466\) −1.93727 + 7.22999i −0.0897423 + 0.334923i
\(467\) 3.69622 3.69622i 0.171041 0.171041i −0.616396 0.787436i \(-0.711408\pi\)
0.787436 + 0.616396i \(0.211408\pi\)
\(468\) 1.61337 + 4.23522i 0.0745780 + 0.195773i
\(469\) 8.10369i 0.374194i
\(470\) 37.6702 + 13.2751i 1.73760 + 0.612332i
\(471\) 4.25293 + 7.36630i 0.195965 + 0.339421i
\(472\) 3.71862 + 13.8781i 0.171163 + 0.638790i
\(473\) 34.1382i 1.56968i
\(474\) 5.60024 1.50058i 0.257227 0.0689239i
\(475\) −0.288956 2.67079i −0.0132582 0.122544i
\(476\) 6.86855 + 6.86855i 0.314820 + 0.314820i
\(477\) 4.00797 1.07393i 0.183512 0.0491720i
\(478\) 6.01571 22.4509i 0.275152 1.02688i
\(479\) 18.6940 + 5.00904i 0.854150 + 0.228869i 0.659222 0.751949i \(-0.270886\pi\)
0.194928 + 0.980818i \(0.437553\pi\)
\(480\) 29.0036 + 2.23810i 1.32383 + 0.102155i
\(481\) −6.95380 18.2543i −0.317066 0.832323i
\(482\) −22.7270 22.7270i −1.03518 1.03518i
\(483\) −1.84934 + 1.06771i −0.0841477 + 0.0485827i
\(484\) 4.70359 2.71562i 0.213800 0.123437i
\(485\) −39.1801 + 7.32348i −1.77908 + 0.332542i
\(486\) −12.0788 + 12.0788i −0.547907 + 0.547907i
\(487\) 11.6813 20.2327i 0.529332 0.916830i −0.470083 0.882622i \(-0.655776\pi\)
0.999415 0.0342077i \(-0.0108908\pi\)
\(488\) −1.70528 + 2.95363i −0.0771943 + 0.133704i
\(489\) −3.17214 + 3.17214i −0.143449 + 0.143449i
\(490\) 22.2386 4.15680i 1.00464 0.187785i
\(491\) 18.4624 10.6593i 0.833198 0.481047i −0.0217482 0.999763i \(-0.506923\pi\)
0.854946 + 0.518716i \(0.173590\pi\)
\(492\) −1.56457 + 0.903303i −0.0705362 + 0.0407241i
\(493\) 2.83305 + 2.83305i 0.127594 + 0.127594i
\(494\) 2.87585 2.07824i 0.129391 0.0935046i
\(495\) −8.01301 0.618334i −0.360158 0.0277920i
\(496\) 27.5354 + 7.37809i 1.23638 + 0.331286i
\(497\) −4.23276 + 15.7969i −0.189865 + 0.708587i
\(498\) 26.5549 7.11538i 1.18996 0.318848i
\(499\) −23.0389 23.0389i −1.03136 1.03136i −0.999492 0.0318687i \(-0.989854\pi\)
−0.0318687 0.999492i \(-0.510146\pi\)
\(500\) −0.465858 15.1408i −0.0208338 0.677118i
\(501\) −1.18606 + 0.317803i −0.0529891 + 0.0141984i
\(502\) 39.8727i 1.77960i
\(503\) 0.169996 + 0.634433i 0.00757973 + 0.0282879i 0.969612 0.244647i \(-0.0786722\pi\)
−0.962032 + 0.272935i \(0.912006\pi\)
\(504\) 1.93976 + 3.35977i 0.0864039 + 0.149656i
\(505\) −9.60392 3.38444i −0.427369 0.150606i
\(506\) 2.16050i 0.0960458i
\(507\) −21.5357 14.1422i −0.956436 0.628075i
\(508\) 1.23211 1.23211i 0.0546662 0.0546662i
\(509\) −8.29035 + 30.9400i −0.367463 + 1.37139i 0.496587 + 0.867987i \(0.334586\pi\)
−0.864050 + 0.503405i \(0.832080\pi\)
\(510\) 15.5091 + 5.46544i 0.686755 + 0.242014i
\(511\) −45.2197 26.1076i −2.00040 1.15493i
\(512\) 20.4758 0.904912
\(513\) 1.91092 + 1.10327i 0.0843690 + 0.0487105i
\(514\) −6.07422 22.6693i −0.267923 0.999901i
\(515\) 2.38258 30.8759i 0.104989 1.36056i
\(516\) 11.8307 20.4914i 0.520818 0.902084i
\(517\) −36.4929 9.77825i −1.60496 0.430047i
\(518\) 17.5588 + 30.4127i 0.771489 + 1.33626i
\(519\) −13.1232 −0.576046
\(520\) −8.12784 + 4.96931i −0.356430 + 0.217919i
\(521\) −23.4746 −1.02844 −0.514220 0.857658i \(-0.671919\pi\)
−0.514220 + 0.857658i \(0.671919\pi\)
\(522\) −1.68033 2.91042i −0.0735461 0.127386i
\(523\) −23.9001 6.40400i −1.04508 0.280027i −0.304861 0.952397i \(-0.598610\pi\)
−0.740216 + 0.672370i \(0.765277\pi\)
\(524\) 3.78986 6.56423i 0.165561 0.286760i
\(525\) 28.3075 20.6989i 1.23544 0.903376i
\(526\) 7.82436 + 29.2009i 0.341158 + 1.27322i
\(527\) 10.2612 + 5.92431i 0.446985 + 0.258067i
\(528\) −37.4226 −1.62861
\(529\) 19.8383 + 11.4536i 0.862535 + 0.497985i
\(530\) −7.91127 16.5214i −0.343643 0.717643i
\(531\) 2.91964 10.8963i 0.126702 0.472857i
\(532\) −1.82159 + 1.82159i −0.0789759 + 0.0789759i
\(533\) 0.992330 2.21360i 0.0429826 0.0958817i
\(534\) 17.0776i 0.739019i
\(535\) −14.2591 + 6.82795i −0.616473 + 0.295198i
\(536\) 1.35290 + 2.34329i 0.0584363 + 0.101215i
\(537\) 1.12346 + 4.19281i 0.0484809 + 0.180933i
\(538\) 59.1745i 2.55119i
\(539\) −20.6708 + 5.53871i −0.890353 + 0.238569i
\(540\) 10.2647 + 7.03172i 0.441724 + 0.302597i
\(541\) −27.6908 27.6908i −1.19052 1.19052i −0.976922 0.213597i \(-0.931482\pi\)
−0.213597 0.976922i \(-0.568518\pi\)
\(542\) −30.9125 + 8.28297i −1.32780 + 0.355784i
\(543\) 4.92042 18.3632i 0.211155 0.788042i
\(544\) 12.8452 + 3.44185i 0.550731 + 0.147568i
\(545\) −2.40690 + 31.1911i −0.103100 + 1.33608i
\(546\) 42.2655 + 18.9471i 1.80880 + 0.810861i
\(547\) 6.53914 + 6.53914i 0.279593 + 0.279593i 0.832947 0.553353i \(-0.186652\pi\)
−0.553353 + 0.832947i \(0.686652\pi\)
\(548\) −16.7675 + 9.68071i −0.716272 + 0.413540i
\(549\) 2.31902 1.33889i 0.0989733 0.0571422i
\(550\) 3.81632 + 35.2738i 0.162729 + 1.50408i
\(551\) −0.751344 + 0.751344i −0.0320083 + 0.0320083i
\(552\) −0.356506 + 0.617486i −0.0151739 + 0.0262820i
\(553\) 2.82613 4.89500i 0.120179 0.208156i
\(554\) −3.98180 + 3.98180i −0.169170 + 0.169170i
\(555\) 19.8072 + 13.5686i 0.840768 + 0.575956i
\(556\) −20.4359 + 11.7987i −0.866676 + 0.500375i
\(557\) 14.0717 8.12429i 0.596237 0.344237i −0.171323 0.985215i \(-0.554804\pi\)
0.767560 + 0.640978i \(0.221471\pi\)
\(558\) −7.02763 7.02763i −0.297503 0.297503i
\(559\) 3.24046 + 31.6061i 0.137057 + 1.33679i
\(560\) 29.2903 25.0937i 1.23774 1.06040i
\(561\) −15.0244 4.02578i −0.634332 0.169969i
\(562\) −12.5206 + 46.7277i −0.528151 + 1.97109i
\(563\) 31.4174 8.41827i 1.32409 0.354788i 0.473579 0.880751i \(-0.342962\pi\)
0.850507 + 0.525964i \(0.176295\pi\)
\(564\) −18.5161 18.5161i −0.779670 0.779670i
\(565\) −2.89704 + 4.22904i −0.121879 + 0.177917i
\(566\) 27.1382 7.27167i 1.14071 0.305651i
\(567\) 38.6538i 1.62331i
\(568\) 1.41331 + 5.27453i 0.0593010 + 0.221314i
\(569\) −16.4164 28.4341i −0.688212 1.19202i −0.972416 0.233255i \(-0.925062\pi\)
0.284203 0.958764i \(-0.408271\pi\)
\(570\) −1.44947 + 4.11313i −0.0607118 + 0.172280i
\(571\) 31.7967i 1.33065i 0.746554 + 0.665325i \(0.231707\pi\)
−0.746554 + 0.665325i \(0.768293\pi\)
\(572\) −15.3392 + 11.0849i −0.641364 + 0.463484i
\(573\) −5.22875 + 5.22875i −0.218434 + 0.218434i
\(574\) −1.12874 + 4.21253i −0.0471129 + 0.175828i
\(575\) 1.39262 + 0.614947i 0.0580762 + 0.0256451i
\(576\) −1.82796 1.05538i −0.0761652 0.0439740i
\(577\) 39.9389 1.66268 0.831338 0.555767i \(-0.187575\pi\)
0.831338 + 0.555767i \(0.187575\pi\)
\(578\) −20.4559 11.8102i −0.850854 0.491241i
\(579\) −0.145719 0.543832i −0.00605589 0.0226009i
\(580\) −4.55010 + 3.89818i −0.188933 + 0.161863i
\(581\) 13.4008 23.2109i 0.555959 0.962949i
\(582\) 62.5017 + 16.7473i 2.59078 + 0.694197i
\(583\) 8.66348 + 15.0056i 0.358805 + 0.621468i
\(584\) −17.4345 −0.721444
\(585\) 7.47736 0.188140i 0.309151 0.00777864i
\(586\) −19.0063 −0.785143
\(587\) 9.32773 + 16.1561i 0.384997 + 0.666834i 0.991769 0.128042i \(-0.0408692\pi\)
−0.606772 + 0.794876i \(0.707536\pi\)
\(588\) −14.3271 3.83892i −0.590838 0.158315i
\(589\) −1.57117 + 2.72135i −0.0647389 + 0.112131i
\(590\) −49.6522 3.83147i −2.04415 0.157739i
\(591\) −13.2591 49.4837i −0.545407 2.03549i
\(592\) 22.8686 + 13.2032i 0.939893 + 0.542647i
\(593\) 8.65172 0.355284 0.177642 0.984095i \(-0.443153\pi\)
0.177642 + 0.984095i \(0.443153\pi\)
\(594\) −25.2380 14.5712i −1.03553 0.597862i
\(595\) 14.4590 6.92367i 0.592759 0.283843i
\(596\) 4.60433 17.1836i 0.188601 0.703867i
\(597\) 8.06145 8.06145i 0.329933 0.329933i
\(598\) 0.205079 + 2.00025i 0.00838628 + 0.0817962i
\(599\) 35.1779i 1.43733i −0.695356 0.718666i \(-0.744753\pi\)
0.695356 0.718666i \(-0.255247\pi\)
\(600\) 4.72983 10.7113i 0.193095 0.437285i
\(601\) 20.0384 + 34.7076i 0.817385 + 1.41575i 0.907602 + 0.419831i \(0.137911\pi\)
−0.0902170 + 0.995922i \(0.528756\pi\)
\(602\) −14.7834 55.1722i −0.602524 2.24865i
\(603\) 2.12443i 0.0865136i
\(604\) −1.41621 + 0.379473i −0.0576249 + 0.0154405i
\(605\) −1.64694 8.81103i −0.0669577 0.358219i
\(606\) 11.6890 + 11.6890i 0.474834 + 0.474834i
\(607\) −41.5934 + 11.1449i −1.68822 + 0.452358i −0.969930 0.243384i \(-0.921742\pi\)
−0.718292 + 0.695742i \(0.755076\pi\)
\(608\) −0.912802 + 3.40662i −0.0370190 + 0.138157i
\(609\) −13.3981 3.59000i −0.542917 0.145474i
\(610\) −7.69108 8.97731i −0.311403 0.363481i
\(611\) 34.7143 + 5.58899i 1.40439 + 0.226106i
\(612\) −1.80063 1.80063i −0.0727863 0.0727863i
\(613\) 17.5625 10.1397i 0.709344 0.409540i −0.101474 0.994838i \(-0.532356\pi\)
0.810818 + 0.585298i \(0.199022\pi\)
\(614\) 3.39352 1.95925i 0.136952 0.0790690i
\(615\) 0.547826 + 2.93084i 0.0220905 + 0.118183i
\(616\) −11.4553 + 11.4553i −0.461546 + 0.461546i
\(617\) −4.33527 + 7.50891i −0.174531 + 0.302297i −0.939999 0.341177i \(-0.889174\pi\)
0.765468 + 0.643474i \(0.222508\pi\)
\(618\) −25.1365 + 43.5376i −1.01114 + 1.75134i
\(619\) −21.3034 + 21.3034i −0.856257 + 0.856257i −0.990895 0.134638i \(-0.957013\pi\)
0.134638 + 0.990895i \(0.457013\pi\)
\(620\) −10.0139 + 14.6181i −0.402168 + 0.587076i
\(621\) −1.08290 + 0.625215i −0.0434554 + 0.0250890i
\(622\) 6.06077 3.49919i 0.243015 0.140305i
\(623\) 11.7725 + 11.7725i 0.471657 + 0.471657i
\(624\) 34.6468 3.55222i 1.38698 0.142203i
\(625\) −23.8231 7.58013i −0.952925 0.303205i
\(626\) −7.61954 2.04165i −0.304538 0.0816007i
\(627\) 1.06767 3.98458i 0.0426385 0.159129i
\(628\) −5.61682 + 1.50502i −0.224136 + 0.0600569i
\(629\) 7.76093 + 7.76093i 0.309449 + 0.309449i
\(630\) −13.2179 + 2.47067i −0.526615 + 0.0984340i
\(631\) −27.4324 + 7.35050i −1.09207 + 0.292619i −0.759531 0.650472i \(-0.774571\pi\)
−0.332537 + 0.943090i \(0.607905\pi\)
\(632\) 1.88727i 0.0750715i
\(633\) 1.65548 + 6.17835i 0.0657996 + 0.245567i
\(634\) 21.1670 + 36.6622i 0.840647 + 1.45604i
\(635\) −1.24200 2.59371i −0.0492873 0.102928i
\(636\) 12.0094i 0.476206i
\(637\) 18.6118 7.09000i 0.737427 0.280916i
\(638\) 9.92320 9.92320i 0.392863 0.392863i
\(639\) 1.10965 4.14125i 0.0438969 0.163825i
\(640\) 6.65997 18.8988i 0.263259 0.747041i
\(641\) 14.1756 + 8.18429i 0.559903 + 0.323260i 0.753107 0.657899i \(-0.228554\pi\)
−0.193204 + 0.981159i \(0.561888\pi\)
\(642\) 25.6652 1.01292
\(643\) −35.5518 20.5258i −1.40203 0.809460i −0.407425 0.913239i \(-0.633573\pi\)
−0.994600 + 0.103779i \(0.966907\pi\)
\(644\) −0.377841 1.41012i −0.0148890 0.0555666i
\(645\) −25.4065 29.6555i −1.00038 1.16768i
\(646\) −0.996819 + 1.72654i −0.0392193 + 0.0679298i
\(647\) 2.73861 + 0.733807i 0.107666 + 0.0288489i 0.312250 0.950000i \(-0.398917\pi\)
−0.204584 + 0.978849i \(0.565584\pi\)
\(648\) 6.45318 + 11.1772i 0.253505 + 0.439083i
\(649\) 47.1059 1.84907
\(650\) −6.88151 32.2952i −0.269915 1.26672i
\(651\) −41.0201 −1.60771
\(652\) −1.53344 2.65599i −0.0600540 0.104017i
\(653\) −1.21283 0.324978i −0.0474619 0.0127174i 0.235010 0.971993i \(-0.424488\pi\)
−0.282472 + 0.959276i \(0.591154\pi\)
\(654\) 25.3930 43.9820i 0.992947 1.71983i
\(655\) −8.13874 9.49985i −0.318007 0.371190i
\(656\) 0.848749 + 3.16758i 0.0331381 + 0.123673i
\(657\) 11.8546 + 6.84427i 0.462493 + 0.267020i
\(658\) −63.2122 −2.46427
\(659\) 8.09916 + 4.67605i 0.315498 + 0.182153i 0.649384 0.760460i \(-0.275027\pi\)
−0.333886 + 0.942613i \(0.608360\pi\)
\(660\) 7.73119 21.9386i 0.300936 0.853958i
\(661\) −6.64415 + 24.7963i −0.258427 + 0.964464i 0.707724 + 0.706489i \(0.249722\pi\)
−0.966152 + 0.257975i \(0.916945\pi\)
\(662\) 2.58641 2.58641i 0.100524 0.100524i
\(663\) 14.2922 + 2.30103i 0.555061 + 0.0893647i
\(664\) 8.94896i 0.347287i
\(665\) 1.83621 + 3.83462i 0.0712051 + 0.148700i
\(666\) −4.60315 7.97288i −0.178368 0.308943i
\(667\) −0.155847 0.581628i −0.00603441 0.0225207i
\(668\) 0.839440i 0.0324789i
\(669\) 14.1952 3.80358i 0.548817 0.147055i
\(670\) −9.21892 + 1.72318i −0.356158 + 0.0665724i
\(671\) 7.90679 + 7.90679i 0.305238 + 0.305238i
\(672\) −44.4701 + 11.9157i −1.71547 + 0.459660i
\(673\) 10.6983 39.9267i 0.412390 1.53906i −0.377617 0.925962i \(-0.623256\pi\)
0.790007 0.613098i \(-0.210077\pi\)
\(674\) 15.3308 + 4.10787i 0.590519 + 0.158229i
\(675\) 16.5759 12.1205i 0.638005 0.466520i
\(676\) 13.1493 11.7188i 0.505740 0.450721i
\(677\) 15.5322 + 15.5322i 0.596950 + 0.596950i 0.939500 0.342549i \(-0.111290\pi\)
−0.342549 + 0.939500i \(0.611290\pi\)
\(678\) 7.20690 4.16090i 0.276779 0.159799i
\(679\) 54.6308 31.5411i 2.09654 1.21044i
\(680\) 3.02510 4.41597i 0.116007 0.169345i
\(681\) 5.46862 5.46862i 0.209558 0.209558i
\(682\) 20.7508 35.9415i 0.794591 1.37627i
\(683\) 3.32652 5.76170i 0.127286 0.220465i −0.795338 0.606166i \(-0.792707\pi\)
0.922624 + 0.385700i \(0.126040\pi\)
\(684\) 0.477541 0.477541i 0.0182592 0.0182592i
\(685\) 5.87106 + 31.4098i 0.224322 + 1.20011i
\(686\) 8.28646 4.78419i 0.316378 0.182661i
\(687\) −30.0851 + 17.3696i −1.14782 + 0.662692i
\(688\) −30.3701 30.3701i −1.15785 1.15785i
\(689\) −9.44525 13.0702i −0.359835 0.497936i
\(690\) −1.60790 1.87680i −0.0612117 0.0714485i
\(691\) −36.3445 9.73848i −1.38261 0.370469i −0.510542 0.859853i \(-0.670555\pi\)
−0.872069 + 0.489384i \(0.837222\pi\)
\(692\) 2.32201 8.66588i 0.0882698 0.329427i
\(693\) 12.2861 3.29204i 0.466709 0.125054i
\(694\) −42.1038 42.1038i −1.59824 1.59824i
\(695\) 7.15555 + 38.2817i 0.271425 + 1.45211i
\(696\) −4.47356 + 1.19869i −0.169570 + 0.0454361i
\(697\) 1.36302i 0.0516282i
\(698\) 3.22603 + 12.0397i 0.122107 + 0.455710i
\(699\) −4.04946 7.01387i −0.153165 0.265289i
\(700\) 8.65976 + 22.3552i 0.327308 + 0.844949i
\(701\) 40.3398i 1.52361i −0.647804 0.761807i \(-0.724312\pi\)
0.647804 0.761807i \(-0.275688\pi\)
\(702\) 24.7491 + 11.0947i 0.934096 + 0.418744i
\(703\) −2.05825 + 2.05825i −0.0776285 + 0.0776285i
\(704\) 2.28126 8.51379i 0.0859783 0.320875i
\(705\) −38.9782 + 18.6647i −1.46801 + 0.702955i
\(706\) 43.3459 + 25.0258i 1.63134 + 0.941857i
\(707\) 16.1158 0.606097
\(708\) 28.2753 + 16.3247i 1.06265 + 0.613521i
\(709\) −11.5415 43.0733i −0.433449 1.61765i −0.744752 0.667341i \(-0.767432\pi\)
0.311304 0.950311i \(-0.399234\pi\)
\(710\) −18.8709 1.45620i −0.708213 0.0546501i
\(711\) −0.740887 + 1.28325i −0.0277854 + 0.0481258i
\(712\) 5.36959 + 1.43878i 0.201234 + 0.0539204i
\(713\) −0.890371 1.54217i −0.0333447 0.0577546i
\(714\) −26.0250 −0.973960
\(715\) 8.84027 + 29.9568i 0.330607 + 1.12032i
\(716\) −2.96749 −0.110900
\(717\) 12.5746 + 21.7798i 0.469607 + 0.813383i
\(718\) 9.75479 + 2.61379i 0.364045 + 0.0975457i
\(719\) −13.7825 + 23.8720i −0.514001 + 0.890276i 0.485867 + 0.874033i \(0.338504\pi\)
−0.999868 + 0.0162430i \(0.994829\pi\)
\(720\) −7.67863 + 6.57846i −0.286166 + 0.245165i
\(721\) 12.6850 + 47.3409i 0.472413 + 1.76307i
\(722\) 29.6807 + 17.1361i 1.10460 + 0.637741i
\(723\) 34.7768 1.29336
\(724\) 11.2555 + 6.49836i 0.418307 + 0.241510i
\(725\) 3.57186 + 9.22079i 0.132656 + 0.342451i
\(726\) −3.76622 + 14.0557i −0.139777 + 0.521656i
\(727\) 29.4624 29.4624i 1.09270 1.09270i 0.0974593 0.995240i \(-0.468928\pi\)
0.995240 0.0974593i \(-0.0310716\pi\)
\(728\) 9.51825 11.6930i 0.352770 0.433370i
\(729\) 14.2845i 0.529057i
\(730\) 20.0849 56.9944i 0.743377 2.10946i
\(731\) −8.92588 15.4601i −0.330135 0.571811i
\(732\) 2.00591 + 7.48617i 0.0741407 + 0.276697i
\(733\) 23.3958i 0.864144i 0.901839 + 0.432072i \(0.142217\pi\)
−0.901839 + 0.432072i \(0.857783\pi\)
\(734\) −31.9794 + 8.56885i −1.18038 + 0.316282i
\(735\) −13.8344 + 20.1951i −0.510290 + 0.744909i
\(736\) −1.41323 1.41323i −0.0520924 0.0520924i
\(737\) 8.56897 2.29605i 0.315642 0.0845761i
\(738\) 0.295907 1.10434i 0.0108925 0.0406513i
\(739\) −15.5120 4.15644i −0.570620 0.152897i −0.0380389 0.999276i \(-0.512111\pi\)
−0.532581 + 0.846379i \(0.678778\pi\)
\(740\) −12.4647 + 10.6788i −0.458210 + 0.392560i
\(741\) −0.610250 + 3.79038i −0.0224181 + 0.139243i
\(742\) 20.4995 + 20.4995i 0.752561 + 0.752561i
\(743\) −45.2759 + 26.1400i −1.66101 + 0.958985i −0.688777 + 0.724973i \(0.741852\pi\)
−0.972234 + 0.234011i \(0.924815\pi\)
\(744\) −11.8615 + 6.84824i −0.434864 + 0.251069i
\(745\) −24.2216 16.5927i −0.887412 0.607909i
\(746\) 20.0933 20.0933i 0.735669 0.735669i
\(747\) −3.51310 + 6.08487i −0.128538 + 0.222634i
\(748\) 5.31682 9.20901i 0.194402 0.336715i
\(749\) 17.6925 17.6925i 0.646468 0.646468i
\(750\) 29.5669 + 27.8017i 1.07963 + 1.01518i
\(751\) 23.7599 13.7178i 0.867010 0.500569i 0.000656703 1.00000i \(-0.499791\pi\)
0.866354 + 0.499431i \(0.166458\pi\)
\(752\) −41.1638 + 23.7659i −1.50109 + 0.866655i
\(753\) 30.5066 + 30.5066i 1.11172 + 1.11172i
\(754\) −8.24524 + 10.1291i −0.300274 + 0.368880i
\(755\) −0.186169 + 2.41257i −0.00677539 + 0.0878026i
\(756\) −19.0207 5.09659i −0.691777 0.185361i
\(757\) 0.622824 2.32441i 0.0226369 0.0844821i −0.953683 0.300813i \(-0.902742\pi\)
0.976320 + 0.216330i \(0.0694088\pi\)
\(758\) −37.8037 + 10.1295i −1.37309 + 0.367919i
\(759\) 1.65300 + 1.65300i 0.0600000 + 0.0600000i
\(760\) 1.17115 + 0.802277i 0.0424819 + 0.0291016i
\(761\) 2.35997 0.632352i 0.0855488 0.0229227i −0.215791 0.976440i \(-0.569233\pi\)
0.301340 + 0.953517i \(0.402566\pi\)
\(762\) 4.66848i 0.169121i
\(763\) −12.8144 47.8242i −0.463914 1.73135i
\(764\) −2.52761 4.37796i −0.0914459 0.158389i
\(765\) −3.79050 + 1.81508i −0.137046 + 0.0656245i
\(766\) 35.5469i 1.28436i
\(767\) −43.6120 + 4.47139i −1.57474 + 0.161452i
\(768\) −29.3786 + 29.3786i −1.06011 + 1.06011i
\(769\) −3.50862 + 13.0944i −0.126524 + 0.472195i −0.999889 0.0148712i \(-0.995266\pi\)
0.873365 + 0.487066i \(0.161933\pi\)
\(770\) −24.2513 50.6448i −0.873955 1.82511i
\(771\) 21.9917 + 12.6969i 0.792011 + 0.457268i
\(772\) 0.384901 0.0138529