Properties

Label 300.2.n.a.131.26
Level $300$
Weight $2$
Character 300.131
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.n (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 131.26
Character \(\chi\) \(=\) 300.131
Dual form 300.2.n.a.71.26

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.322989 - 1.37684i) q^{2} +(1.63324 + 0.576640i) q^{3} +(-1.79136 + 0.889407i) q^{4} +(1.79390 - 1.33489i) q^{5} +(0.266418 - 2.43496i) q^{6} -3.04159i q^{7} +(1.80316 + 2.17913i) q^{8} +(2.33497 + 1.88359i) q^{9} +O(q^{10})\) \(q+(-0.322989 - 1.37684i) q^{2} +(1.63324 + 0.576640i) q^{3} +(-1.79136 + 0.889407i) q^{4} +(1.79390 - 1.33489i) q^{5} +(0.266418 - 2.43496i) q^{6} -3.04159i q^{7} +(1.80316 + 2.17913i) q^{8} +(2.33497 + 1.88359i) q^{9} +(-2.41733 - 2.03875i) q^{10} +(-0.519850 - 1.59994i) q^{11} +(-3.43859 + 0.419651i) q^{12} +(-1.88691 + 5.80732i) q^{13} +(-4.18777 + 0.982401i) q^{14} +(3.69963 - 1.14576i) q^{15} +(2.41791 - 3.18649i) q^{16} +(0.841506 - 1.15823i) q^{17} +(1.83922 - 3.82325i) q^{18} +(2.14597 - 2.95368i) q^{19} +(-2.02626 + 3.98676i) q^{20} +(1.75390 - 4.96766i) q^{21} +(-2.03494 + 1.23251i) q^{22} +(-1.33200 - 4.09948i) q^{23} +(1.68842 + 4.59883i) q^{24} +(1.43616 - 4.78931i) q^{25} +(8.60518 + 0.722268i) q^{26} +(2.72743 + 4.42280i) q^{27} +(2.70521 + 5.44857i) q^{28} +(-1.32412 - 1.82249i) q^{29} +(-2.77246 - 4.72371i) q^{30} +(-3.80357 + 5.23517i) q^{31} +(-5.16823 - 2.29987i) q^{32} +(0.0735435 - 2.91285i) q^{33} +(-1.86650 - 0.784519i) q^{34} +(-4.06018 - 5.45631i) q^{35} +(-5.85804 - 1.29743i) q^{36} +(-3.25448 + 10.0162i) q^{37} +(-4.75986 - 2.00065i) q^{38} +(-6.43052 + 8.39671i) q^{39} +(6.14358 + 1.50214i) q^{40} +(8.40760 + 2.73179i) q^{41} +(-7.40614 - 0.810334i) q^{42} +2.84174i q^{43} +(2.35423 + 2.40369i) q^{44} +(6.70308 + 0.262044i) q^{45} +(-5.21409 + 3.15804i) q^{46} +(-5.06530 + 3.68016i) q^{47} +(5.78650 - 3.81005i) q^{48} -2.25126 q^{49} +(-7.05795 - 0.430458i) q^{50} +(2.04227 - 1.40643i) q^{51} +(-1.78494 - 12.0812i) q^{52} +(-5.69631 - 7.84030i) q^{53} +(5.20854 - 5.18374i) q^{54} +(-3.06829 - 2.17618i) q^{55} +(6.62803 - 5.48446i) q^{56} +(5.20811 - 3.58663i) q^{57} +(-2.08160 + 2.41174i) q^{58} +(-3.64876 + 11.2297i) q^{59} +(-5.60830 + 5.34294i) q^{60} +(0.190864 + 0.587420i) q^{61} +(8.43648 + 3.54599i) q^{62} +(5.72910 - 7.10203i) q^{63} +(-1.49726 + 7.85864i) q^{64} +(4.36718 + 12.9366i) q^{65} +(-4.03427 + 0.839562i) q^{66} +(-1.22685 + 1.68861i) q^{67} +(-0.477296 + 2.82325i) q^{68} +(0.188439 - 7.46354i) q^{69} +(-6.20105 + 7.35253i) q^{70} +(-0.331304 + 0.240707i) q^{71} +(0.105731 + 8.48462i) q^{72} +(0.657763 + 2.02439i) q^{73} +(14.8419 + 1.24574i) q^{74} +(5.10730 - 6.99396i) q^{75} +(-1.21718 + 7.19974i) q^{76} +(-4.86635 + 1.58117i) q^{77} +(13.6379 + 6.14173i) q^{78} +(8.14442 + 11.2098i) q^{79} +(0.0838934 - 8.94388i) q^{80} +(1.90420 + 8.79625i) q^{81} +(1.04567 - 12.4582i) q^{82} +(-5.79636 - 4.21130i) q^{83} +(1.27641 + 10.4588i) q^{84} +(-0.0365324 - 3.20107i) q^{85} +(3.91261 - 0.917851i) q^{86} +(-1.11169 - 3.74011i) q^{87} +(2.54910 - 4.01776i) q^{88} +(0.333139 - 0.108243i) q^{89} +(-1.80423 - 9.31369i) q^{90} +(17.6635 + 5.73921i) q^{91} +(6.03220 + 6.15894i) q^{92} +(-9.23097 + 6.35702i) q^{93} +(6.70301 + 5.78544i) q^{94} +(-0.0931634 - 8.16324i) q^{95} +(-7.11479 - 6.73645i) q^{96} +(-0.649353 + 0.471783i) q^{97} +(0.727134 + 3.09962i) q^{98} +(1.79978 - 4.71499i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} + q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} + q^{6} - 6q^{9} - 8q^{10} - 9q^{12} - 12q^{13} - 18q^{16} - 26q^{18} + 12q^{21} - 6q^{22} - 16q^{24} - 12q^{25} + 2q^{28} - 13q^{30} + 6q^{33} - 30q^{34} + 35q^{36} + 12q^{37} - 24q^{40} - 13q^{42} - 6q^{45} - 18q^{46} - 34q^{48} - 168q^{49} - 28q^{52} - 38q^{54} - 44q^{57} - 34q^{58} - 76q^{60} + 4q^{61} + 18q^{64} - 46q^{66} - 18q^{69} + 72q^{70} - 29q^{72} - 20q^{73} + 16q^{76} + 5q^{78} - 30q^{81} - 20q^{82} - 18q^{84} - 76q^{85} + 6q^{88} + 2q^{90} - 52q^{93} + 96q^{94} - 50q^{96} - 72q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{2}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.322989 1.37684i −0.228388 0.973570i
\(3\) 1.63324 + 0.576640i 0.942954 + 0.332923i
\(4\) −1.79136 + 0.889407i −0.895678 + 0.444703i
\(5\) 1.79390 1.33489i 0.802257 0.596979i
\(6\) 0.266418 2.43496i 0.108765 0.994068i
\(7\) 3.04159i 1.14961i −0.818290 0.574806i \(-0.805077\pi\)
0.818290 0.574806i \(-0.194923\pi\)
\(8\) 1.80316 + 2.17913i 0.637512 + 0.770440i
\(9\) 2.33497 + 1.88359i 0.778324 + 0.627862i
\(10\) −2.41733 2.03875i −0.764427 0.644710i
\(11\) −0.519850 1.59994i −0.156741 0.482399i 0.841592 0.540113i \(-0.181619\pi\)
−0.998333 + 0.0577147i \(0.981619\pi\)
\(12\) −3.43859 + 0.419651i −0.992635 + 0.121143i
\(13\) −1.88691 + 5.80732i −0.523336 + 1.61066i 0.244248 + 0.969713i \(0.421459\pi\)
−0.767584 + 0.640949i \(0.778541\pi\)
\(14\) −4.18777 + 0.982401i −1.11923 + 0.262558i
\(15\) 3.69963 1.14576i 0.955239 0.295834i
\(16\) 2.41791 3.18649i 0.604478 0.796622i
\(17\) 0.841506 1.15823i 0.204095 0.280913i −0.694684 0.719316i \(-0.744456\pi\)
0.898779 + 0.438403i \(0.144456\pi\)
\(18\) 1.83922 3.82325i 0.433508 0.901150i
\(19\) 2.14597 2.95368i 0.492320 0.677621i −0.488494 0.872568i \(-0.662453\pi\)
0.980814 + 0.194947i \(0.0624534\pi\)
\(20\) −2.02626 + 3.98676i −0.453085 + 0.891467i
\(21\) 1.75390 4.96766i 0.382733 1.08403i
\(22\) −2.03494 + 1.23251i −0.433851 + 0.262772i
\(23\) −1.33200 4.09948i −0.277742 0.854801i −0.988481 0.151346i \(-0.951639\pi\)
0.710739 0.703456i \(-0.248361\pi\)
\(24\) 1.68842 + 4.59883i 0.344647 + 0.938732i
\(25\) 1.43616 4.78931i 0.287231 0.957861i
\(26\) 8.60518 + 0.722268i 1.68762 + 0.141648i
\(27\) 2.72743 + 4.42280i 0.524894 + 0.851168i
\(28\) 2.70521 + 5.44857i 0.511237 + 1.02968i
\(29\) −1.32412 1.82249i −0.245883 0.338428i 0.668181 0.743998i \(-0.267073\pi\)
−0.914064 + 0.405570i \(0.867073\pi\)
\(30\) −2.77246 4.72371i −0.506181 0.862428i
\(31\) −3.80357 + 5.23517i −0.683142 + 0.940264i −0.999966 0.00822000i \(-0.997383\pi\)
0.316824 + 0.948484i \(0.397383\pi\)
\(32\) −5.16823 2.29987i −0.913623 0.406563i
\(33\) 0.0735435 2.91285i 0.0128023 0.507062i
\(34\) −1.86650 0.784519i −0.320101 0.134544i
\(35\) −4.06018 5.45631i −0.686295 0.922284i
\(36\) −5.85804 1.29743i −0.976340 0.216239i
\(37\) −3.25448 + 10.0162i −0.535033 + 1.64666i 0.208546 + 0.978012i \(0.433127\pi\)
−0.743579 + 0.668648i \(0.766873\pi\)
\(38\) −4.75986 2.00065i −0.772151 0.324548i
\(39\) −6.43052 + 8.39671i −1.02971 + 1.34455i
\(40\) 6.14358 + 1.50214i 0.971385 + 0.237510i
\(41\) 8.40760 + 2.73179i 1.31305 + 0.426635i 0.880101 0.474786i \(-0.157474\pi\)
0.432945 + 0.901420i \(0.357474\pi\)
\(42\) −7.40614 0.810334i −1.14279 0.125037i
\(43\) 2.84174i 0.433361i 0.976243 + 0.216681i \(0.0695230\pi\)
−0.976243 + 0.216681i \(0.930477\pi\)
\(44\) 2.35423 + 2.40369i 0.354914 + 0.362371i
\(45\) 6.70308 + 0.262044i 0.999237 + 0.0390632i
\(46\) −5.21409 + 3.15804i −0.768776 + 0.465627i
\(47\) −5.06530 + 3.68016i −0.738850 + 0.536806i −0.892351 0.451342i \(-0.850945\pi\)
0.153501 + 0.988149i \(0.450945\pi\)
\(48\) 5.78650 3.81005i 0.835209 0.549933i
\(49\) −2.25126 −0.321609
\(50\) −7.05795 0.430458i −0.998145 0.0608760i
\(51\) 2.04227 1.40643i 0.285975 0.196940i
\(52\) −1.78494 12.0812i −0.247526 1.67536i
\(53\) −5.69631 7.84030i −0.782448 1.07695i −0.995008 0.0997996i \(-0.968180\pi\)
0.212559 0.977148i \(-0.431820\pi\)
\(54\) 5.20854 5.18374i 0.708792 0.705418i
\(55\) −3.06829 2.17618i −0.413728 0.293436i
\(56\) 6.62803 5.48446i 0.885708 0.732892i
\(57\) 5.20811 3.58663i 0.689831 0.475060i
\(58\) −2.08160 + 2.41174i −0.273327 + 0.316677i
\(59\) −3.64876 + 11.2297i −0.475028 + 1.46199i 0.370891 + 0.928676i \(0.379052\pi\)
−0.845920 + 0.533311i \(0.820948\pi\)
\(60\) −5.60830 + 5.34294i −0.724028 + 0.689770i
\(61\) 0.190864 + 0.587420i 0.0244377 + 0.0752114i 0.962532 0.271170i \(-0.0874104\pi\)
−0.938094 + 0.346381i \(0.887410\pi\)
\(62\) 8.43648 + 3.54599i 1.07143 + 0.450342i
\(63\) 5.72910 7.10203i 0.721798 0.894771i
\(64\) −1.49726 + 7.85864i −0.187157 + 0.982330i
\(65\) 4.36718 + 12.9366i 0.541682 + 1.60458i
\(66\) −4.03427 + 0.839562i −0.496585 + 0.103343i
\(67\) −1.22685 + 1.68861i −0.149883 + 0.206296i −0.877356 0.479840i \(-0.840695\pi\)
0.727473 + 0.686136i \(0.240695\pi\)
\(68\) −0.477296 + 2.82325i −0.0578806 + 0.342369i
\(69\) 0.188439 7.46354i 0.0226854 0.898505i
\(70\) −6.20105 + 7.35253i −0.741167 + 0.878795i
\(71\) −0.331304 + 0.240707i −0.0393186 + 0.0285666i −0.607271 0.794495i \(-0.707736\pi\)
0.567952 + 0.823061i \(0.307736\pi\)
\(72\) 0.105731 + 8.48462i 0.0124605 + 0.999922i
\(73\) 0.657763 + 2.02439i 0.0769853 + 0.236936i 0.982142 0.188142i \(-0.0602465\pi\)
−0.905157 + 0.425078i \(0.860247\pi\)
\(74\) 14.8419 + 1.24574i 1.72533 + 0.144814i
\(75\) 5.10730 6.99396i 0.589740 0.807593i
\(76\) −1.21718 + 7.19974i −0.139620 + 0.825866i
\(77\) −4.86635 + 1.58117i −0.554572 + 0.180191i
\(78\) 13.6379 + 6.14173i 1.54419 + 0.695414i
\(79\) 8.14442 + 11.2098i 0.916318 + 1.26120i 0.964962 + 0.262388i \(0.0845100\pi\)
−0.0486441 + 0.998816i \(0.515490\pi\)
\(80\) 0.0838934 8.94388i 0.00937956 0.999956i
\(81\) 1.90420 + 8.79625i 0.211578 + 0.977361i
\(82\) 1.04567 12.4582i 0.115475 1.37578i
\(83\) −5.79636 4.21130i −0.636233 0.462250i 0.222321 0.974974i \(-0.428637\pi\)
−0.858554 + 0.512723i \(0.828637\pi\)
\(84\) 1.27641 + 10.4588i 0.139267 + 1.14115i
\(85\) −0.0365324 3.20107i −0.00396249 0.347205i
\(86\) 3.91261 0.917851i 0.421908 0.0989745i
\(87\) −1.11169 3.74011i −0.119185 0.400982i
\(88\) 2.54910 4.01776i 0.271735 0.428294i
\(89\) 0.333139 0.108243i 0.0353126 0.0114738i −0.291307 0.956629i \(-0.594090\pi\)
0.326620 + 0.945156i \(0.394090\pi\)
\(90\) −1.80423 9.31369i −0.190183 0.981749i
\(91\) 17.6635 + 5.73921i 1.85164 + 0.601633i
\(92\) 6.03220 + 6.15894i 0.628900 + 0.642114i
\(93\) −9.23097 + 6.35702i −0.957207 + 0.659192i
\(94\) 6.70301 + 5.78544i 0.691363 + 0.596723i
\(95\) −0.0931634 8.16324i −0.00955836 0.837531i
\(96\) −7.11479 6.73645i −0.726150 0.687536i
\(97\) −0.649353 + 0.471783i −0.0659318 + 0.0479023i −0.620263 0.784394i \(-0.712974\pi\)
0.554331 + 0.832296i \(0.312974\pi\)
\(98\) 0.727134 + 3.09962i 0.0734516 + 0.313109i
\(99\) 1.79978 4.71499i 0.180885 0.473874i
\(100\) 1.68697 + 9.85668i 0.168697 + 0.985668i
\(101\) 9.88678i 0.983771i 0.870660 + 0.491886i \(0.163692\pi\)
−0.870660 + 0.491886i \(0.836308\pi\)
\(102\) −2.59606 2.35761i −0.257048 0.233438i
\(103\) −4.39542 6.04977i −0.433093 0.596102i 0.535566 0.844493i \(-0.320098\pi\)
−0.968660 + 0.248391i \(0.920098\pi\)
\(104\) −16.0573 + 6.35967i −1.57455 + 0.623617i
\(105\) −3.48493 11.2527i −0.340095 1.09816i
\(106\) −8.95496 + 10.3752i −0.869783 + 1.00773i
\(107\) 1.26467 0.122260 0.0611301 0.998130i \(-0.480530\pi\)
0.0611301 + 0.998130i \(0.480530\pi\)
\(108\) −8.81946 5.49701i −0.848653 0.528950i
\(109\) 3.82352 11.7676i 0.366227 1.12713i −0.582983 0.812485i \(-0.698114\pi\)
0.949209 0.314645i \(-0.101886\pi\)
\(110\) −2.00522 + 4.92742i −0.191190 + 0.469811i
\(111\) −11.0911 + 14.4823i −1.05272 + 1.37460i
\(112\) −9.69199 7.35429i −0.915807 0.694915i
\(113\) −14.3187 4.65242i −1.34699 0.437662i −0.455309 0.890334i \(-0.650471\pi\)
−0.891678 + 0.452671i \(0.850471\pi\)
\(114\) −6.62036 6.01227i −0.620054 0.563101i
\(115\) −7.86182 5.57599i −0.733119 0.519964i
\(116\) 3.99290 + 2.08705i 0.370732 + 0.193778i
\(117\) −15.3445 + 10.0058i −1.41860 + 0.925034i
\(118\) 16.6400 + 1.39666i 1.53184 + 0.128573i
\(119\) −3.52287 2.55952i −0.322941 0.234630i
\(120\) 9.16777 + 5.99600i 0.836899 + 0.547357i
\(121\) 6.60964 4.80218i 0.600876 0.436562i
\(122\) 0.747134 0.452519i 0.0676423 0.0409692i
\(123\) 12.1564 + 9.30984i 1.09611 + 0.839440i
\(124\) 2.15736 12.7610i 0.193737 1.14597i
\(125\) −3.81686 10.5086i −0.341390 0.939922i
\(126\) −11.6288 5.59415i −1.03597 0.498366i
\(127\) 0.0967531 0.0314370i 0.00858545 0.00278958i −0.304721 0.952442i \(-0.598563\pi\)
0.313307 + 0.949652i \(0.398563\pi\)
\(128\) 11.3037 0.476780i 0.999112 0.0421418i
\(129\) −1.63866 + 4.64125i −0.144276 + 0.408640i
\(130\) 16.4010 10.1913i 1.43846 0.893833i
\(131\) 2.63804 + 1.91665i 0.230486 + 0.167458i 0.697034 0.717038i \(-0.254502\pi\)
−0.466548 + 0.884496i \(0.654502\pi\)
\(132\) 2.45897 + 5.28336i 0.214026 + 0.459858i
\(133\) −8.98388 6.52717i −0.779001 0.565978i
\(134\) 2.72119 + 1.14376i 0.235075 + 0.0988061i
\(135\) 10.7967 + 4.29325i 0.929229 + 0.369504i
\(136\) 4.04131 0.254721i 0.346540 0.0218421i
\(137\) −1.43686 0.466863i −0.122759 0.0398868i 0.246993 0.969017i \(-0.420557\pi\)
−0.369752 + 0.929130i \(0.620557\pi\)
\(138\) −10.3369 + 2.15119i −0.879939 + 0.183122i
\(139\) −8.29339 + 2.69469i −0.703436 + 0.228560i −0.638827 0.769350i \(-0.720580\pi\)
−0.0646093 + 0.997911i \(0.520580\pi\)
\(140\) 12.1261 + 6.16304i 1.02484 + 0.520872i
\(141\) −10.3950 + 3.08974i −0.875417 + 0.260203i
\(142\) 0.438421 + 0.378406i 0.0367915 + 0.0317551i
\(143\) 10.2723 0.859009
\(144\) 11.6478 2.88602i 0.970649 0.240501i
\(145\) −4.80816 1.50182i −0.399296 0.124720i
\(146\) 2.57480 1.55949i 0.213092 0.129064i
\(147\) −3.67686 1.29817i −0.303262 0.107071i
\(148\) −3.07859 20.8372i −0.253059 1.71281i
\(149\) 7.84832i 0.642960i −0.946916 0.321480i \(-0.895820\pi\)
0.946916 0.321480i \(-0.104180\pi\)
\(150\) −11.2791 4.77294i −0.920938 0.389709i
\(151\) 22.0326i 1.79299i −0.443052 0.896496i \(-0.646104\pi\)
0.443052 0.896496i \(-0.353896\pi\)
\(152\) 10.3060 0.649579i 0.835926 0.0526878i
\(153\) 4.14653 1.11939i 0.335227 0.0904977i
\(154\) 3.74879 + 6.18946i 0.302086 + 0.498761i
\(155\) 0.165125 + 14.4687i 0.0132632 + 1.16215i
\(156\) 4.05127 20.7608i 0.324361 1.66220i
\(157\) 5.67807 0.453159 0.226580 0.973993i \(-0.427246\pi\)
0.226580 + 0.973993i \(0.427246\pi\)
\(158\) 12.8035 14.8342i 1.01859 1.18014i
\(159\) −4.78244 16.0898i −0.379272 1.27601i
\(160\) −12.3414 + 2.77327i −0.975670 + 0.219246i
\(161\) −12.4689 + 4.05140i −0.982690 + 0.319295i
\(162\) 11.4960 5.46286i 0.903208 0.429203i
\(163\) 4.48576 + 1.45751i 0.351352 + 0.114161i 0.479375 0.877610i \(-0.340863\pi\)
−0.128023 + 0.991771i \(0.540863\pi\)
\(164\) −17.4907 + 2.58416i −1.36579 + 0.201789i
\(165\) −3.75640 5.32354i −0.292435 0.414437i
\(166\) −3.92611 + 9.34084i −0.304725 + 0.724990i
\(167\) −11.1648 8.11168i −0.863956 0.627701i 0.0650023 0.997885i \(-0.479295\pi\)
−0.928958 + 0.370184i \(0.879295\pi\)
\(168\) 13.9878 5.13547i 1.07918 0.396210i
\(169\) −19.6473 14.2746i −1.51133 1.09805i
\(170\) −4.39555 + 1.08421i −0.337123 + 0.0831552i
\(171\) 10.5743 2.85463i 0.808637 0.218299i
\(172\) −2.52746 5.09057i −0.192717 0.388152i
\(173\) 13.1064 4.25851i 0.996458 0.323769i 0.235008 0.971993i \(-0.424488\pi\)
0.761449 + 0.648225i \(0.224488\pi\)
\(174\) −4.79046 + 2.73863i −0.363164 + 0.207615i
\(175\) −14.5671 4.36820i −1.10117 0.330205i
\(176\) −6.35513 2.21200i −0.479036 0.166736i
\(177\) −12.4348 + 16.2369i −0.934659 + 1.22044i
\(178\) −0.256633 0.423716i −0.0192355 0.0317588i
\(179\) 5.40793 3.92909i 0.404207 0.293674i −0.367045 0.930203i \(-0.619631\pi\)
0.771253 + 0.636529i \(0.219631\pi\)
\(180\) −12.2407 + 5.49235i −0.912366 + 0.409376i
\(181\) 13.8444 + 10.0586i 1.02905 + 0.747647i 0.968118 0.250496i \(-0.0805936\pi\)
0.0609294 + 0.998142i \(0.480594\pi\)
\(182\) 2.19684 26.1734i 0.162841 1.94010i
\(183\) −0.0270017 + 1.06946i −0.00199602 + 0.0790568i
\(184\) 6.53152 10.2946i 0.481510 0.758929i
\(185\) 7.53235 + 22.3125i 0.553789 + 1.64045i
\(186\) 11.7341 + 10.6563i 0.860384 + 0.781357i
\(187\) −2.29056 0.744247i −0.167502 0.0544247i
\(188\) 5.80060 11.0976i 0.423052 0.809375i
\(189\) 13.4523 8.29572i 0.978513 0.603425i
\(190\) −11.2094 + 2.76491i −0.813212 + 0.200588i
\(191\) 2.70046 8.31116i 0.195398 0.601374i −0.804573 0.593853i \(-0.797606\pi\)
0.999972 0.00752103i \(-0.00239404\pi\)
\(192\) −6.97699 + 11.9717i −0.503521 + 0.863983i
\(193\) −1.41726 −0.102016 −0.0510082 0.998698i \(-0.516243\pi\)
−0.0510082 + 0.998698i \(0.516243\pi\)
\(194\) 0.859302 + 0.741672i 0.0616943 + 0.0532490i
\(195\) −0.327070 + 23.6469i −0.0234220 + 1.69339i
\(196\) 4.03281 2.00229i 0.288058 0.143021i
\(197\) 2.75253 + 3.78854i 0.196110 + 0.269922i 0.895735 0.444588i \(-0.146650\pi\)
−0.699625 + 0.714510i \(0.746650\pi\)
\(198\) −7.07308 0.955112i −0.502662 0.0678769i
\(199\) 18.1468i 1.28639i −0.765702 0.643196i \(-0.777608\pi\)
0.765702 0.643196i \(-0.222392\pi\)
\(200\) 13.0262 5.50629i 0.921088 0.389353i
\(201\) −2.97746 + 2.05046i −0.210014 + 0.144628i
\(202\) 13.6125 3.19332i 0.957770 0.224681i
\(203\) −5.54327 + 4.02742i −0.389061 + 0.282670i
\(204\) −2.40754 + 4.33583i −0.168561 + 0.303569i
\(205\) 18.7290 6.32262i 1.30809 0.441591i
\(206\) −6.90987 + 8.00578i −0.481434 + 0.557789i
\(207\) 4.61154 12.0811i 0.320524 0.839696i
\(208\) 13.9426 + 20.0542i 0.966743 + 1.39051i
\(209\) −5.84128 1.89795i −0.404050 0.131284i
\(210\) −14.3676 + 8.43270i −0.991457 + 0.581911i
\(211\) 0.474177 0.154069i 0.0326437 0.0106066i −0.292650 0.956220i \(-0.594537\pi\)
0.325293 + 0.945613i \(0.394537\pi\)
\(212\) 17.1773 + 8.97843i 1.17974 + 0.616641i
\(213\) −0.679902 + 0.202090i −0.0465861 + 0.0138469i
\(214\) −0.408475 1.74124i −0.0279227 0.119029i
\(215\) 3.79340 + 5.09780i 0.258708 + 0.347667i
\(216\) −4.71989 + 13.9184i −0.321148 + 0.947029i
\(217\) 15.9232 + 11.5689i 1.08094 + 0.785349i
\(218\) −17.4370 1.46356i −1.18098 0.0991245i
\(219\) −0.0930541 + 3.68561i −0.00628801 + 0.249050i
\(220\) 7.43191 + 1.16936i 0.501060 + 0.0788382i
\(221\) 5.13839 + 7.07238i 0.345645 + 0.475740i
\(222\) 23.5221 + 10.5930i 1.57870 + 0.710957i
\(223\) −24.8327 + 8.06864i −1.66292 + 0.540316i −0.981482 0.191557i \(-0.938646\pi\)
−0.681441 + 0.731873i \(0.738646\pi\)
\(224\) −6.99525 + 15.7196i −0.467390 + 1.05031i
\(225\) 12.3745 8.47777i 0.824964 0.565185i
\(226\) −1.78084 + 21.2171i −0.118460 + 1.41134i
\(227\) 4.02587 + 12.3904i 0.267206 + 0.822377i 0.991177 + 0.132546i \(0.0423152\pi\)
−0.723970 + 0.689831i \(0.757685\pi\)
\(228\) −6.13961 + 11.0571i −0.406605 + 0.732271i
\(229\) −8.60561 + 6.25234i −0.568675 + 0.413167i −0.834624 0.550821i \(-0.814315\pi\)
0.265949 + 0.963987i \(0.414315\pi\)
\(230\) −5.13794 + 12.6254i −0.338786 + 0.832496i
\(231\) −8.85970 0.223689i −0.582925 0.0147177i
\(232\) 1.58386 6.17167i 0.103986 0.405190i
\(233\) 0.255169 0.351210i 0.0167167 0.0230085i −0.800577 0.599230i \(-0.795473\pi\)
0.817294 + 0.576222i \(0.195473\pi\)
\(234\) 18.7324 + 17.8951i 1.22458 + 1.16984i
\(235\) −4.17406 + 13.3634i −0.272285 + 0.871735i
\(236\) −3.45157 23.3617i −0.224678 1.52072i
\(237\) 6.83779 + 23.0048i 0.444162 + 1.49432i
\(238\) −2.38618 + 5.67711i −0.154673 + 0.367992i
\(239\) −8.48056 26.1005i −0.548562 1.68830i −0.712367 0.701807i \(-0.752377\pi\)
0.163805 0.986493i \(-0.447623\pi\)
\(240\) 5.29441 14.5592i 0.341753 0.939790i
\(241\) 3.05825 9.41233i 0.196999 0.606301i −0.802948 0.596049i \(-0.796736\pi\)
0.999947 0.0102526i \(-0.00326355\pi\)
\(242\) −8.74666 7.54934i −0.562257 0.485290i
\(243\) −1.96225 + 15.4645i −0.125878 + 0.992046i
\(244\) −0.864361 0.882522i −0.0553350 0.0564977i
\(245\) −4.03854 + 3.00518i −0.258013 + 0.191994i
\(246\) 8.89174 19.7444i 0.566917 1.25885i
\(247\) 13.1037 + 18.0357i 0.833769 + 1.14758i
\(248\) −18.2666 + 1.15133i −1.15993 + 0.0731095i
\(249\) −7.03847 10.2205i −0.446045 0.647697i
\(250\) −13.2359 + 8.64937i −0.837110 + 0.547034i
\(251\) 3.02388 0.190865 0.0954327 0.995436i \(-0.469577\pi\)
0.0954327 + 0.995436i \(0.469577\pi\)
\(252\) −3.94626 + 17.8178i −0.248591 + 1.12241i
\(253\) −5.86646 + 4.26224i −0.368821 + 0.267964i
\(254\) −0.0745338 0.123059i −0.00467667 0.00772143i
\(255\) 1.78620 5.24920i 0.111856 0.328717i
\(256\) −4.30741 15.4093i −0.269213 0.963081i
\(257\) 17.5378i 1.09398i −0.837141 0.546988i \(-0.815774\pi\)
0.837141 0.546988i \(-0.184226\pi\)
\(258\) 6.91952 + 0.757091i 0.430790 + 0.0471344i
\(259\) 30.4653 + 9.89878i 1.89302 + 0.615080i
\(260\) −19.3290 19.2898i −1.19874 1.19630i
\(261\) 0.341043 6.74956i 0.0211100 0.417787i
\(262\) 1.78685 4.25120i 0.110392 0.262640i
\(263\) −7.97131 + 24.5332i −0.491532 + 1.51278i 0.330761 + 0.943715i \(0.392695\pi\)
−0.822293 + 0.569065i \(0.807305\pi\)
\(264\) 6.48011 5.09206i 0.398823 0.313395i
\(265\) −20.6845 6.46079i −1.27064 0.396883i
\(266\) −6.08515 + 14.4775i −0.373104 + 0.887675i
\(267\) 0.606514 + 0.0153132i 0.0371181 + 0.000937155i
\(268\) 0.695858 4.11606i 0.0425063 0.251429i
\(269\) −5.90843 + 8.13226i −0.360244 + 0.495833i −0.950217 0.311590i \(-0.899138\pi\)
0.589973 + 0.807423i \(0.299138\pi\)
\(270\) 2.42389 16.2519i 0.147513 0.989060i
\(271\) −4.88812 6.72793i −0.296932 0.408692i 0.634318 0.773072i \(-0.281281\pi\)
−0.931250 + 0.364380i \(0.881281\pi\)
\(272\) −1.65601 5.48196i −0.100410 0.332392i
\(273\) 25.5393 + 19.5590i 1.54571 + 1.18377i
\(274\) −0.178705 + 2.12911i −0.0107959 + 0.128624i
\(275\) −8.40917 + 0.191965i −0.507092 + 0.0115759i
\(276\) 6.30056 + 13.5375i 0.379249 + 0.814859i
\(277\) −1.97706 6.08476i −0.118790 0.365598i 0.873929 0.486054i \(-0.161564\pi\)
−0.992719 + 0.120456i \(0.961564\pi\)
\(278\) 6.38882 + 10.5483i 0.383176 + 0.632644i
\(279\) −18.7421 + 5.05962i −1.12206 + 0.302911i
\(280\) 4.56890 18.6862i 0.273044 1.11672i
\(281\) 14.0046 19.2756i 0.835441 1.14989i −0.151444 0.988466i \(-0.548392\pi\)
0.986886 0.161421i \(-0.0516076\pi\)
\(282\) 7.61154 + 13.3143i 0.453261 + 0.792853i
\(283\) 14.4234 19.8522i 0.857385 1.18009i −0.124802 0.992182i \(-0.539830\pi\)
0.982187 0.187907i \(-0.0601704\pi\)
\(284\) 0.379398 0.725856i 0.0225131 0.0430716i
\(285\) 4.55509 13.3863i 0.269820 0.792935i
\(286\) −3.31783 14.1432i −0.196187 0.836306i
\(287\) 8.30900 25.5725i 0.490464 1.50949i
\(288\) −7.73568 15.1049i −0.455829 0.890067i
\(289\) 4.61992 + 14.2186i 0.271760 + 0.836391i
\(290\) −0.514780 + 7.10512i −0.0302289 + 0.417227i
\(291\) −1.33260 + 0.396093i −0.0781184 + 0.0232194i
\(292\) −2.97879 3.04138i −0.174320 0.177983i
\(293\) 4.61787i 0.269779i −0.990861 0.134890i \(-0.956932\pi\)
0.990861 0.134890i \(-0.0430680\pi\)
\(294\) −0.599777 + 5.48173i −0.0349797 + 0.319701i
\(295\) 8.44490 + 25.0157i 0.491681 + 1.45647i
\(296\) −27.6951 + 10.9689i −1.60974 + 0.637555i
\(297\) 5.65833 6.66290i 0.328330 0.386621i
\(298\) −10.8059 + 2.53492i −0.625966 + 0.146844i
\(299\) 26.3204 1.52215
\(300\) −2.92851 + 17.0711i −0.169078 + 0.985603i
\(301\) 8.64340 0.498197
\(302\) −30.3353 + 7.11631i −1.74560 + 0.409498i
\(303\) −5.70111 + 16.1475i −0.327520 + 0.927651i
\(304\) −4.22309 13.9799i −0.242211 0.801800i
\(305\) 1.12653 + 0.798991i 0.0645049 + 0.0457501i
\(306\) −2.88051 5.34754i −0.164668 0.305698i
\(307\) 13.8516i 0.790553i 0.918562 + 0.395277i \(0.129351\pi\)
−0.918562 + 0.395277i \(0.870649\pi\)
\(308\) 7.31105 7.16060i 0.416586 0.408013i
\(309\) −3.69025 12.4153i −0.209931 0.706283i
\(310\) 19.8677 4.90059i 1.12841 0.278335i
\(311\) 0.348878 + 1.07373i 0.0197830 + 0.0608859i 0.960461 0.278416i \(-0.0898093\pi\)
−0.940678 + 0.339302i \(0.889809\pi\)
\(312\) −29.8928 + 1.12759i −1.69235 + 0.0638375i
\(313\) −1.96099 + 6.03530i −0.110842 + 0.341135i −0.991057 0.133439i \(-0.957398\pi\)
0.880215 + 0.474574i \(0.157398\pi\)
\(314\) −1.83396 7.81777i −0.103496 0.441182i
\(315\) 0.797029 20.3880i 0.0449075 1.14874i
\(316\) −24.5596 12.8371i −1.38159 0.722143i
\(317\) 9.65590 13.2902i 0.542330 0.746453i −0.446617 0.894725i \(-0.647371\pi\)
0.988947 + 0.148273i \(0.0473713\pi\)
\(318\) −20.6084 + 11.7815i −1.15566 + 0.660673i
\(319\) −2.22753 + 3.06593i −0.124718 + 0.171659i
\(320\) 7.80446 + 16.0963i 0.436283 + 0.899810i
\(321\) 2.06551 + 0.729259i 0.115286 + 0.0407032i
\(322\) 9.60545 + 15.8591i 0.535291 + 0.883795i
\(323\) −1.61520 4.97108i −0.0898722 0.276598i
\(324\) −11.2345 14.0636i −0.624141 0.781312i
\(325\) 25.1031 + 17.3772i 1.39247 + 0.963915i
\(326\) 0.557903 6.64692i 0.0308994 0.368139i
\(327\) 13.0304 17.0145i 0.720582 0.940906i
\(328\) 9.20726 + 23.2471i 0.508386 + 1.28361i
\(329\) 11.1935 + 15.4066i 0.617119 + 0.849392i
\(330\) −6.11636 + 6.89139i −0.336695 + 0.379358i
\(331\) 12.6376 17.3941i 0.694624 0.956068i −0.305368 0.952234i \(-0.598780\pi\)
0.999993 0.00383388i \(-0.00122036\pi\)
\(332\) 14.1289 + 2.38862i 0.775424 + 0.131092i
\(333\) −26.4656 + 17.2576i −1.45031 + 0.945709i
\(334\) −7.56236 + 17.9920i −0.413794 + 0.984481i
\(335\) 0.0532612 + 4.66689i 0.00290997 + 0.254980i
\(336\) −11.5886 17.6001i −0.632210 0.960166i
\(337\) 8.85165 27.2426i 0.482180 1.48400i −0.353843 0.935305i \(-0.615125\pi\)
0.836024 0.548693i \(-0.184875\pi\)
\(338\) −13.3079 + 31.6617i −0.723856 + 1.72217i
\(339\) −20.7031 15.8552i −1.12444 0.861138i
\(340\) 2.91250 + 5.70176i 0.157952 + 0.309222i
\(341\) 10.3532 + 3.36397i 0.560658 + 0.182169i
\(342\) −7.34575 13.6371i −0.397213 0.737408i
\(343\) 14.4437i 0.779887i
\(344\) −6.19253 + 5.12410i −0.333879 + 0.276273i
\(345\) −9.62494 13.6404i −0.518189 0.734374i
\(346\) −10.0965 16.6698i −0.542790 0.896177i
\(347\) 2.02863 1.47389i 0.108903 0.0791223i −0.532001 0.846744i \(-0.678560\pi\)
0.640904 + 0.767621i \(0.278560\pi\)
\(348\) 5.31791 + 5.71113i 0.285070 + 0.306149i
\(349\) 19.2761 1.03182 0.515912 0.856641i \(-0.327453\pi\)
0.515912 + 0.856641i \(0.327453\pi\)
\(350\) −1.30928 + 21.4674i −0.0699838 + 1.14748i
\(351\) −30.8310 + 7.49363i −1.64564 + 0.399981i
\(352\) −0.992931 + 9.46442i −0.0529234 + 0.504455i
\(353\) −18.7903 25.8626i −1.00011 1.37653i −0.925260 0.379333i \(-0.876153\pi\)
−0.0748460 0.997195i \(-0.523847\pi\)
\(354\) 26.3718 + 11.8764i 1.40165 + 0.631223i
\(355\) −0.273011 + 0.874057i −0.0144899 + 0.0463901i
\(356\) −0.500497 + 0.490198i −0.0265263 + 0.0259804i
\(357\) −4.27779 6.21174i −0.226405 0.328760i
\(358\) −7.15641 6.17677i −0.378228 0.326453i
\(359\) −2.27154 + 6.99107i −0.119887 + 0.368975i −0.992935 0.118660i \(-0.962140\pi\)
0.873048 + 0.487635i \(0.162140\pi\)
\(360\) 11.5157 + 15.0794i 0.606929 + 0.794756i
\(361\) 1.75230 + 5.39303i 0.0922264 + 0.283844i
\(362\) 9.37739 22.3103i 0.492864 1.17260i
\(363\) 13.5643 4.03176i 0.711940 0.211612i
\(364\) −36.7461 + 5.42905i −1.92602 + 0.284559i
\(365\) 3.88229 + 2.75351i 0.203208 + 0.144125i
\(366\) 1.48119 0.308247i 0.0774232 0.0161123i
\(367\) −18.7370 + 25.7893i −0.978063 + 1.34619i −0.0401962 + 0.999192i \(0.512798\pi\)
−0.937867 + 0.346996i \(0.887202\pi\)
\(368\) −16.2836 5.66778i −0.848842 0.295453i
\(369\) 14.4859 + 22.2151i 0.754108 + 1.15647i
\(370\) 28.2878 17.5775i 1.47061 0.913811i
\(371\) −23.8470 + 17.3258i −1.23807 + 0.899512i
\(372\) 10.8820 19.5978i 0.564204 1.01610i
\(373\) 1.92728 + 5.93156i 0.0997908 + 0.307125i 0.988473 0.151400i \(-0.0483781\pi\)
−0.888682 + 0.458525i \(0.848378\pi\)
\(374\) −0.284881 + 3.39410i −0.0147308 + 0.175505i
\(375\) −0.174158 19.3641i −0.00899346 0.999960i
\(376\) −17.1531 4.40208i −0.884603 0.227020i
\(377\) 13.0823 4.25070i 0.673773 0.218922i
\(378\) −15.7668 15.8422i −0.810957 0.814836i
\(379\) 12.0452 + 16.5789i 0.618723 + 0.851599i 0.997259 0.0739876i \(-0.0235725\pi\)
−0.378536 + 0.925586i \(0.623573\pi\)
\(380\) 7.42733 + 14.5404i 0.381014 + 0.745907i
\(381\) 0.176149 + 0.00444741i 0.00902440 + 0.000227848i
\(382\) −12.3153 1.03367i −0.630107 0.0528874i
\(383\) 23.9236 + 17.3815i 1.22244 + 0.888153i 0.996300 0.0859420i \(-0.0273900\pi\)
0.226138 + 0.974095i \(0.427390\pi\)
\(384\) 18.7366 + 5.73944i 0.956146 + 0.292890i
\(385\) −6.61905 + 9.33248i −0.337338 + 0.475627i
\(386\) 0.457759 + 1.95133i 0.0232993 + 0.0993201i
\(387\) −5.35266 + 6.63539i −0.272091 + 0.337296i
\(388\) 0.743616 1.42267i 0.0377514 0.0722251i
\(389\) −6.59111 + 2.14158i −0.334182 + 0.108582i −0.471302 0.881972i \(-0.656216\pi\)
0.137119 + 0.990555i \(0.456216\pi\)
\(390\) 32.6635 7.18736i 1.65398 0.363946i
\(391\) −5.86905 1.90697i −0.296810 0.0964396i
\(392\) −4.05938 4.90580i −0.205030 0.247781i
\(393\) 3.20335 + 4.65155i 0.161587 + 0.234640i
\(394\) 4.32716 5.01345i 0.217999 0.252574i
\(395\) 29.5741 + 9.23744i 1.48804 + 0.464786i
\(396\) 0.969496 + 10.0470i 0.0487190 + 0.504879i
\(397\) −23.5736 + 17.1272i −1.18312 + 0.859591i −0.992521 0.122076i \(-0.961045\pi\)
−0.190604 + 0.981667i \(0.561045\pi\)
\(398\) −24.9852 + 5.86122i −1.25239 + 0.293796i
\(399\) −10.9090 15.8409i −0.546135 0.793038i
\(400\) −11.7886 16.1564i −0.589428 0.807821i
\(401\) 12.6018i 0.629305i 0.949207 + 0.314653i \(0.101888\pi\)
−0.949207 + 0.314653i \(0.898112\pi\)
\(402\) 3.78484 + 3.43719i 0.188770 + 0.171432i
\(403\) −23.2253 31.9669i −1.15693 1.59238i
\(404\) −8.79337 17.7107i −0.437486 0.881142i
\(405\) 15.1579 + 13.2377i 0.753204 + 0.657787i
\(406\) 7.33552 + 6.33136i 0.364056 + 0.314220i
\(407\) 17.7172 0.878208
\(408\) 6.74733 + 1.91436i 0.334043 + 0.0947750i
\(409\) −2.71165 + 8.34559i −0.134082 + 0.412663i −0.995446 0.0953257i \(-0.969611\pi\)
0.861364 + 0.507988i \(0.169611\pi\)
\(410\) −14.7545 23.7447i −0.728672 1.17267i
\(411\) −2.07753 1.59105i −0.102477 0.0784808i
\(412\) 13.2545 + 6.92798i 0.653001 + 0.341317i
\(413\) 34.1562 + 11.0980i 1.68072 + 0.546099i
\(414\) −18.1232 2.44726i −0.890707 0.120276i
\(415\) −16.0197 + 0.182826i −0.786376 + 0.00897456i
\(416\) 23.1081 25.6739i 1.13297 1.25877i
\(417\) −15.0990 0.381219i −0.739401 0.0186684i
\(418\) −0.726492 + 8.65551i −0.0355339 + 0.423355i
\(419\) 8.34417 + 6.06239i 0.407639 + 0.296167i 0.772645 0.634838i \(-0.218933\pi\)
−0.365006 + 0.931005i \(0.618933\pi\)
\(420\) 16.2510 + 17.0581i 0.792969 + 0.832352i
\(421\) −22.5238 + 16.3645i −1.09774 + 0.797558i −0.980690 0.195568i \(-0.937345\pi\)
−0.117054 + 0.993126i \(0.537345\pi\)
\(422\) −0.365282 0.603101i −0.0177817 0.0293585i
\(423\) −18.7592 0.947869i −0.912106 0.0460870i
\(424\) 6.81373 26.5503i 0.330904 1.28940i
\(425\) −4.33860 5.69364i −0.210453 0.276182i
\(426\) 0.497845 + 0.870841i 0.0241207 + 0.0421924i
\(427\) 1.78669 0.580531i 0.0864640 0.0280938i
\(428\) −2.26547 + 1.12481i −0.109506 + 0.0543695i
\(429\) 16.7771 + 5.92339i 0.810006 + 0.285984i
\(430\) 5.79360 6.86942i 0.279392 0.331273i
\(431\) 16.0970 + 11.6952i 0.775365 + 0.563336i 0.903584 0.428410i \(-0.140926\pi\)
−0.128219 + 0.991746i \(0.540926\pi\)
\(432\) 20.6879 + 2.00301i 0.995346 + 0.0963697i
\(433\) −5.60652 4.07337i −0.269432 0.195754i 0.444863 0.895599i \(-0.353252\pi\)
−0.714295 + 0.699845i \(0.753252\pi\)
\(434\) 10.7855 25.6603i 0.517718 1.23173i
\(435\) −6.98688 5.22542i −0.334995 0.250540i
\(436\) 3.61688 + 24.4806i 0.173217 + 1.17241i
\(437\) −14.9670 4.86307i −0.715969 0.232632i
\(438\) 5.10454 1.06229i 0.243904 0.0507583i
\(439\) 17.0128 5.52780i 0.811977 0.263827i 0.126542 0.991961i \(-0.459612\pi\)
0.685435 + 0.728134i \(0.259612\pi\)
\(440\) −0.790413 10.6102i −0.0376814 0.505822i
\(441\) −5.25664 4.24045i −0.250316 0.201926i
\(442\) 8.07787 9.35902i 0.384225 0.445163i
\(443\) −25.0923 −1.19217 −0.596086 0.802920i \(-0.703278\pi\)
−0.596086 + 0.802920i \(0.703278\pi\)
\(444\) 6.98747 35.8075i 0.331611 1.69935i
\(445\) 0.453125 0.638880i 0.0214802 0.0302858i
\(446\) 19.1299 + 31.5845i 0.905827 + 1.49557i
\(447\) 4.52565 12.8182i 0.214056 0.606281i
\(448\) 23.9028 + 4.55404i 1.12930 + 0.215158i
\(449\) 19.5542i 0.922821i −0.887187 0.461410i \(-0.847344\pi\)
0.887187 0.461410i \(-0.152656\pi\)
\(450\) −15.6693 14.2994i −0.738659 0.674079i
\(451\) 14.8717i 0.700283i
\(452\) 29.7877 4.40098i 1.40110 0.207005i
\(453\) 12.7049 35.9847i 0.596928 1.69071i
\(454\) 15.7592 9.54492i 0.739615 0.447965i
\(455\) 39.3477 13.2832i 1.84465 0.622725i
\(456\) 17.2068 + 4.88192i 0.805781 + 0.228617i
\(457\) −15.4555 −0.722977 −0.361489 0.932377i \(-0.617731\pi\)
−0.361489 + 0.932377i \(0.617731\pi\)
\(458\) 11.3880 + 9.82908i 0.532125 + 0.459283i
\(459\) 7.41778 + 0.562808i 0.346232 + 0.0262696i
\(460\) 19.0426 + 2.99623i 0.887868 + 0.139700i
\(461\) 11.5831 3.76359i 0.539481 0.175288i −0.0265872 0.999646i \(-0.508464\pi\)
0.566068 + 0.824359i \(0.308464\pi\)
\(462\) 2.55360 + 12.2706i 0.118804 + 0.570880i
\(463\) −5.50572 1.78892i −0.255872 0.0831380i 0.178272 0.983981i \(-0.442949\pi\)
−0.434145 + 0.900843i \(0.642949\pi\)
\(464\) −9.00895 0.187339i −0.418230 0.00869699i
\(465\) −8.07355 + 23.7262i −0.374402 + 1.10027i
\(466\) −0.565975 0.237889i −0.0262183 0.0110200i
\(467\) 14.7510 + 10.7172i 0.682594 + 0.495933i 0.874217 0.485535i \(-0.161375\pi\)
−0.191623 + 0.981469i \(0.561375\pi\)
\(468\) 18.5882 31.5714i 0.859242 1.45939i
\(469\) 5.13605 + 3.73156i 0.237161 + 0.172307i
\(470\) 19.7474 + 1.43074i 0.910882 + 0.0659953i
\(471\) 9.27367 + 3.27420i 0.427308 + 0.150867i
\(472\) −31.0504 + 12.2978i −1.42921 + 0.566053i
\(473\) 4.54660 1.47728i 0.209053 0.0679254i
\(474\) 29.4653 16.8448i 1.35339 0.773708i
\(475\) −11.0641 14.5197i −0.507657 0.666208i
\(476\) 8.58716 + 1.45174i 0.393592 + 0.0665403i
\(477\) 1.46715 29.0364i 0.0671764 1.32948i
\(478\) −33.1970 + 20.1065i −1.51839 + 0.919651i
\(479\) −26.7381 + 19.4263i −1.22169 + 0.887612i −0.996240 0.0866417i \(-0.972386\pi\)
−0.225454 + 0.974254i \(0.572386\pi\)
\(480\) −21.7556 2.58709i −0.993004 0.118084i
\(481\) −52.0267 37.7996i −2.37221 1.72351i
\(482\) −13.9470 1.17063i −0.635269 0.0533207i
\(483\) −22.7010 0.573154i −1.03293 0.0260794i
\(484\) −7.56912 + 14.4811i −0.344051 + 0.658231i
\(485\) −0.535099 + 1.71314i −0.0242976 + 0.0777898i
\(486\) 21.9258 2.29316i 0.994575 0.104020i
\(487\) −10.5341 3.42275i −0.477347 0.155100i 0.0604543 0.998171i \(-0.480745\pi\)
−0.537802 + 0.843071i \(0.680745\pi\)
\(488\) −0.935909 + 1.47513i −0.0423666 + 0.0667759i
\(489\) 6.48589 + 4.96714i 0.293302 + 0.224622i
\(490\) 5.44204 + 4.58977i 0.245847 + 0.207345i
\(491\) 5.36273 16.5048i 0.242017 0.744851i −0.754096 0.656764i \(-0.771925\pi\)
0.996113 0.0880867i \(-0.0280753\pi\)
\(492\) −30.0567 5.86526i −1.35506 0.264426i
\(493\) −3.22513 −0.145252
\(494\) 20.5999 23.8670i 0.926831 1.07383i
\(495\) −3.06535 10.8607i −0.137777 0.488153i
\(496\) 7.48510 + 24.7782i 0.336091 + 1.11257i
\(497\) 0.732131 + 1.00769i 0.0328406 + 0.0452011i
\(498\) −11.7986 + 12.9919i −0.528708 + 0.582182i
\(499\) 5.14989i 0.230541i 0.993334 + 0.115270i \(0.0367734\pi\)
−0.993334 + 0.115270i \(0.963227\pi\)
\(500\) 16.1838 + 15.4300i 0.723762 + 0.690050i
\(501\) −13.5573 19.6864i −0.605695 0.879524i
\(502\) −0.976680 4.16338i −0.0435914 0.185821i
\(503\) 17.6453 12.8201i 0.786766 0.571619i −0.120236 0.992745i \(-0.538365\pi\)
0.907002 + 0.421126i \(0.138365\pi\)
\(504\) 25.8067 0.321590i 1.14952 0.0143247i
\(505\) 13.1977 + 17.7359i 0.587291 + 0.789237i
\(506\) 7.76321 + 6.70050i 0.345117 + 0.297874i
\(507\) −23.8576 34.6434i −1.05955 1.53857i
\(508\) −0.145359 + 0.142368i −0.00644926 + 0.00631655i
\(509\) −26.8890 8.73676i −1.19183 0.387250i −0.355083 0.934835i \(-0.615547\pi\)
−0.836750 + 0.547585i \(0.815547\pi\)
\(510\) −7.80421 0.763869i −0.345576 0.0338247i
\(511\) 6.15735 2.00064i 0.272385 0.0885033i
\(512\) −19.8248 + 10.9076i −0.876142 + 0.482054i
\(513\) 18.9165 + 1.43525i 0.835185 + 0.0633679i
\(514\) −24.1466 + 5.66451i −1.06506 + 0.249851i
\(515\) −15.9607 4.98531i −0.703312 0.219679i
\(516\) −1.19254 9.77157i −0.0524986 0.430170i
\(517\) 8.52121 + 6.19102i 0.374763 + 0.272281i
\(518\) 3.78903 45.1429i 0.166480 1.98347i
\(519\) 23.8615 + 0.602454i 1.04740 + 0.0264448i
\(520\) −20.3158 + 32.8433i −0.890908 + 1.44028i
\(521\) −14.3419 19.7399i −0.628330 0.864822i 0.369596 0.929193i \(-0.379496\pi\)
−0.997926 + 0.0643702i \(0.979496\pi\)
\(522\) −9.40320 + 1.71048i −0.411567 + 0.0748655i
\(523\) 22.5818 7.33727i 0.987432 0.320836i 0.229600 0.973285i \(-0.426258\pi\)
0.757833 + 0.652449i \(0.226258\pi\)
\(524\) −6.43034 1.08711i −0.280911 0.0474905i
\(525\) −21.2728 15.5343i −0.928419 0.677973i
\(526\) 36.3528 + 3.05124i 1.58506 + 0.133040i
\(527\) 2.86282 + 8.81085i 0.124706 + 0.383807i
\(528\) −9.10394 7.27736i −0.396198 0.316707i
\(529\) 3.57587 2.59802i 0.155472 0.112957i
\(530\) −2.21457 + 30.5660i −0.0961947 + 1.32770i
\(531\) −29.6719 + 19.3484i −1.28765 + 0.839648i
\(532\) 21.8986 + 3.70216i 0.949426 + 0.160509i
\(533\) −31.7288 + 43.6710i −1.37433 + 1.89160i
\(534\) −0.174814 0.840016i −0.00756493 0.0363511i
\(535\) 2.26869 1.68819i 0.0980840 0.0729868i
\(536\) −5.89190 + 0.371362i −0.254491 + 0.0160404i
\(537\) 11.0981 3.29874i 0.478920 0.142351i
\(538\) 13.1052 + 5.50831i 0.565003 + 0.237480i
\(539\) 1.17032 + 3.60187i 0.0504092 + 0.155144i
\(540\) −23.1591 + 1.91190i −0.996610 + 0.0822749i
\(541\) −1.16792 + 3.59447i −0.0502126 + 0.154539i −0.973019 0.230726i \(-0.925890\pi\)
0.922806 + 0.385265i \(0.125890\pi\)
\(542\) −7.68444 + 8.90319i −0.330075 + 0.382425i
\(543\) 16.8111 + 24.4113i 0.721435 + 1.04759i
\(544\) −7.01288 + 4.05067i −0.300675 + 0.173671i
\(545\) −8.84937 26.2138i −0.379065 1.12288i
\(546\) 18.6806 41.4808i 0.799457 1.77522i
\(547\) 19.7513 + 27.1853i 0.844503 + 1.16236i 0.985047 + 0.172284i \(0.0551148\pi\)
−0.140544 + 0.990074i \(0.544885\pi\)
\(548\) 2.98915 0.441632i 0.127690 0.0188656i
\(549\) −0.660793 + 1.73112i −0.0282020 + 0.0738824i
\(550\) 2.98038 + 11.5160i 0.127084 + 0.491046i
\(551\) −8.22458 −0.350379
\(552\) 16.6038 13.0473i 0.706707 0.555330i
\(553\) 34.0957 24.7720i 1.44990 1.05341i
\(554\) −7.73915 + 4.68740i −0.328805 + 0.199148i
\(555\) −0.564117 + 40.7852i −0.0239454 + 1.73124i
\(556\) 12.4597 12.2033i 0.528411 0.517537i
\(557\) 42.7946i 1.81327i 0.421920 + 0.906633i \(0.361356\pi\)
−0.421920 + 0.906633i \(0.638644\pi\)
\(558\) 13.0198 + 24.1707i 0.551171 + 1.02323i
\(559\) −16.5029 5.36212i −0.697998 0.226793i
\(560\) −27.2036 0.255169i −1.14956 0.0107829i
\(561\) −3.31188 2.53636i −0.139827 0.107085i
\(562\) −31.0627 13.0562i −1.31030 0.550741i
\(563\) 11.2765 34.7054i 0.475246 1.46266i −0.370380 0.928880i \(-0.620773\pi\)
0.845626 0.533776i \(-0.179227\pi\)
\(564\) 15.8731 14.7802i 0.668378 0.622359i
\(565\) −31.8967 + 10.7678i −1.34190 + 0.453005i
\(566\) −31.9918 13.4467i −1.34472 0.565206i
\(567\) 26.7546 5.79179i 1.12359 0.243232i
\(568\) −1.12193 0.287925i −0.0470750 0.0120811i
\(569\) −25.5787 + 35.2061i −1.07232 + 1.47592i −0.204608 + 0.978844i \(0.565592\pi\)
−0.867709 + 0.497073i \(0.834408\pi\)
\(570\) −19.9020 1.94799i −0.833602 0.0815922i
\(571\) 11.6501 + 16.0349i 0.487539 + 0.671040i 0.979932 0.199333i \(-0.0638775\pi\)
−0.492392 + 0.870373i \(0.663877\pi\)
\(572\) −18.4013 + 9.13621i −0.769395 + 0.382004i
\(573\) 9.20305 12.0170i 0.384463 0.502016i
\(574\) −37.8928 3.18050i −1.58161 0.132751i
\(575\) −21.5466 + 0.491868i −0.898557 + 0.0205123i
\(576\) −18.2985 + 15.5295i −0.762437 + 0.647063i
\(577\) −8.83017 27.1765i −0.367605 1.13137i −0.948334 0.317274i \(-0.897232\pi\)
0.580729 0.814097i \(-0.302768\pi\)
\(578\) 18.0846 10.9533i 0.752218 0.455599i
\(579\) −2.31473 0.817246i −0.0961967 0.0339636i
\(580\) 9.94885 1.58611i 0.413104 0.0658596i
\(581\) −12.8090 + 17.6301i −0.531409 + 0.731421i
\(582\) 0.975772 + 1.70684i 0.0404470 + 0.0707508i
\(583\) −9.58274 + 13.1895i −0.396877 + 0.546254i
\(584\) −3.22536 + 5.08364i −0.133466 + 0.210362i
\(585\) −14.1699 + 38.4325i −0.585854 + 1.58899i
\(586\) −6.35805 + 1.49152i −0.262649 + 0.0616143i
\(587\) −8.49989 + 26.1600i −0.350828 + 1.07974i 0.607561 + 0.794273i \(0.292148\pi\)
−0.958389 + 0.285465i \(0.907852\pi\)
\(588\) 7.74116 0.944745i 0.319240 0.0389606i
\(589\) 7.30065 + 22.4691i 0.300818 + 0.925822i
\(590\) 31.7149 19.7071i 1.30568 0.811327i
\(591\) 2.31094 + 7.77483i 0.0950593 + 0.319814i
\(592\) 24.0476 + 34.5887i 0.988351 + 1.42159i
\(593\) 41.8987i 1.72057i 0.509810 + 0.860287i \(0.329716\pi\)
−0.509810 + 0.860287i \(0.670284\pi\)
\(594\) −11.0013 5.63855i −0.451389 0.231352i
\(595\) −9.73634 + 0.111116i −0.399151 + 0.00455533i
\(596\) 6.98035 + 14.0591i 0.285926 + 0.575885i
\(597\) 10.4642 29.6381i 0.428269 1.21301i
\(598\) −8.50120 36.2389i −0.347640 1.48192i
\(599\) 12.8584 0.525378 0.262689 0.964881i \(-0.415391\pi\)
0.262689 + 0.964881i \(0.415391\pi\)
\(600\) 24.4500 1.48171i 0.998169 0.0604906i
\(601\) 0.0506283 0.00206517 0.00103259 0.999999i \(-0.499671\pi\)
0.00103259 + 0.999999i \(0.499671\pi\)
\(602\) −2.79173 11.9006i −0.113782 0.485030i
\(603\) −6.04529 + 1.63198i −0.246183 + 0.0664595i
\(604\) 19.5960 + 39.4683i 0.797349 + 1.60594i
\(605\) 5.44666 17.4378i 0.221438 0.708946i
\(606\) 24.0739 + 2.63402i 0.977935 + 0.107000i
\(607\) 7.02033i 0.284946i −0.989799 0.142473i \(-0.954495\pi\)
0.989799 0.142473i \(-0.0455055\pi\)
\(608\) −17.8840 + 10.3298i −0.725290 + 0.418931i
\(609\) −11.3759 + 3.38129i −0.460974 + 0.137017i
\(610\) 0.736222 1.80911i 0.0298088 0.0732488i
\(611\) −11.8141 36.3600i −0.477946 1.47097i
\(612\) −6.43231 + 5.69318i −0.260011 + 0.230133i
\(613\) 8.12803 25.0155i 0.328288 1.01037i −0.641647 0.767000i \(-0.721748\pi\)
0.969935 0.243366i \(-0.0782516\pi\)
\(614\) 19.0714 4.47392i 0.769659 0.180553i
\(615\) 34.2350 + 0.473518i 1.38049 + 0.0190941i
\(616\) −12.2204 7.75332i −0.492373 0.312390i
\(617\) −5.27723 + 7.26349i −0.212453 + 0.292417i −0.901922 0.431898i \(-0.857844\pi\)
0.689469 + 0.724315i \(0.257844\pi\)
\(618\) −15.9020 + 9.09089i −0.639671 + 0.365689i
\(619\) −0.953984 + 1.31305i −0.0383438 + 0.0527758i −0.827758 0.561085i \(-0.810384\pi\)
0.789415 + 0.613860i \(0.210384\pi\)
\(620\) −13.1644 25.7717i −0.528694 1.03502i
\(621\) 14.4982 17.0722i 0.581794 0.685085i
\(622\) 1.36567 0.827152i 0.0547585 0.0331658i
\(623\) −0.329232 1.01327i −0.0131904 0.0405958i
\(624\) 11.2076 + 40.7933i 0.448662 + 1.63304i
\(625\) −20.8749 13.7564i −0.834996 0.550256i
\(626\) 8.94300 + 0.750622i 0.357434 + 0.0300009i
\(627\) −8.44581 6.46813i −0.337293 0.258312i
\(628\) −10.1714 + 5.05011i −0.405885 + 0.201521i
\(629\) 8.86249 + 12.1982i 0.353371 + 0.486373i
\(630\) −28.3284 + 5.48773i −1.12863 + 0.218637i
\(631\) 10.2745 14.1416i 0.409020 0.562968i −0.553959 0.832544i \(-0.686884\pi\)
0.962979 + 0.269576i \(0.0868835\pi\)
\(632\) −9.74207 + 37.9608i −0.387519 + 1.51000i
\(633\) 0.863289 + 0.0217963i 0.0343126 + 0.000866324i
\(634\) −21.4172 9.00200i −0.850586 0.357515i
\(635\) 0.131601 0.185549i 0.00522241 0.00736330i
\(636\) 22.8775 + 24.5691i 0.907150 + 0.974228i
\(637\) 4.24794 13.0738i 0.168309 0.518003i
\(638\) 4.94075 + 2.07668i 0.195606 + 0.0822165i
\(639\) −1.22698 0.0619969i −0.0485385 0.00245256i
\(640\) 19.6412 15.9444i 0.776386 0.630257i
\(641\) −16.7565 5.44451i −0.661841 0.215045i −0.0412132 0.999150i \(-0.513122\pi\)
−0.620628 + 0.784105i \(0.713122\pi\)
\(642\) 0.336931 3.07942i 0.0132976 0.121535i
\(643\) 0.955734i 0.0376905i −0.999822 0.0188452i \(-0.994001\pi\)
0.999822 0.0188452i \(-0.00599898\pi\)
\(644\) 18.7330 18.3475i 0.738182 0.722991i
\(645\) 3.25595 + 10.5134i 0.128203 + 0.413964i
\(646\) −6.32267 + 3.82947i −0.248762 + 0.150669i
\(647\) −16.6821 + 12.1203i −0.655843 + 0.476498i −0.865256 0.501329i \(-0.832844\pi\)
0.209414 + 0.977827i \(0.432844\pi\)
\(648\) −15.7346 + 20.0105i −0.618115 + 0.786087i
\(649\) 19.8637 0.779717
\(650\) 15.8176 40.1756i 0.620416 1.57582i
\(651\) 19.3354 + 28.0768i 0.757816 + 1.10042i
\(652\) −9.33192 + 1.37874i −0.365466 + 0.0539958i
\(653\) −22.0395 30.3348i −0.862473 1.18709i −0.980974 0.194138i \(-0.937809\pi\)
0.118501 0.992954i \(-0.462191\pi\)
\(654\) −27.6349 12.4452i −1.08061 0.486646i
\(655\) 7.29088 0.0832076i 0.284878 0.00325119i
\(656\) 29.0337 20.1855i 1.13357 0.788110i
\(657\) −2.27725 + 5.96584i −0.0888439 + 0.232750i
\(658\) 17.5969 20.3878i 0.686000 0.794800i
\(659\) −8.81637 + 27.1340i −0.343437 + 1.05699i 0.618978 + 0.785408i \(0.287547\pi\)
−0.962415 + 0.271583i \(0.912453\pi\)
\(660\) 11.4638 + 6.19539i 0.446229 + 0.241155i
\(661\) 7.02217 + 21.6120i 0.273131 + 0.840611i 0.989708 + 0.143103i \(0.0457079\pi\)
−0.716577 + 0.697508i \(0.754292\pi\)
\(662\) −28.0307 11.7818i −1.08944 0.457911i
\(663\) 4.31402 + 14.5139i 0.167543 + 0.563674i
\(664\) −1.27475 20.2247i −0.0494698 0.784870i
\(665\) −24.8292 + 0.283365i −0.962836 + 0.0109884i
\(666\) 32.3090 + 30.8648i 1.25195 + 1.19599i
\(667\) −5.70755 + 7.85576i −0.220997 + 0.304176i
\(668\) 27.2147 + 4.60089i 1.05297 + 0.178014i
\(669\) −45.2106 1.14148i −1.74794 0.0441320i
\(670\) 6.40835 1.58069i 0.247576 0.0610673i
\(671\) 0.840613 0.610741i 0.0324515 0.0235774i
\(672\) −20.4895 + 21.6403i −0.790400 + 0.834791i
\(673\) 6.16364 + 18.9697i 0.237591 + 0.731229i 0.996767 + 0.0803443i \(0.0256020\pi\)
−0.759176 + 0.650885i \(0.774398\pi\)
\(674\) −40.3676 3.38821i −1.55490 0.130509i
\(675\) 25.0991 6.71067i 0.966066 0.258294i
\(676\) 47.8913 + 8.09646i 1.84197 + 0.311402i
\(677\) 26.2349 8.52425i 1.00829 0.327613i 0.242117 0.970247i \(-0.422158\pi\)
0.766174 + 0.642634i \(0.222158\pi\)
\(678\) −15.1432 + 33.6259i −0.581571 + 1.29139i
\(679\) 1.43497 + 1.97507i 0.0550690 + 0.0757960i
\(680\) 6.90969 5.85164i 0.264975 0.224400i
\(681\) −0.569542 + 22.5580i −0.0218249 + 0.864423i
\(682\) 1.28765 15.3412i 0.0493067 0.587446i
\(683\) −10.0330 7.28938i −0.383901 0.278920i 0.379051 0.925376i \(-0.376251\pi\)
−0.762952 + 0.646456i \(0.776251\pi\)
\(684\) −16.4034 + 14.5185i −0.627200 + 0.555130i
\(685\) −3.20079 + 1.08054i −0.122296 + 0.0412851i
\(686\) −19.8866 + 4.66516i −0.759275 + 0.178117i
\(687\) −17.6604 + 5.24927i −0.673787 + 0.200272i
\(688\) 9.05517 + 6.87107i 0.345225 + 0.261957i
\(689\) 56.2796 18.2863i 2.14408 0.696654i
\(690\) −15.6718 + 17.6577i −0.596617 + 0.672216i
\(691\) −19.0094 6.17654i −0.723153 0.234967i −0.0757631 0.997126i \(-0.524139\pi\)
−0.647390 + 0.762159i \(0.724139\pi\)
\(692\) −19.6906 + 19.2854i −0.748524 + 0.733121i
\(693\) −14.3411 5.47419i −0.544772 0.207947i
\(694\) −2.68452 2.31704i −0.101903 0.0879537i
\(695\) −11.2804 + 15.9047i −0.427891 + 0.603301i
\(696\) 6.14567 9.16653i 0.232951 0.347456i
\(697\) 10.2391 7.43914i 0.387834 0.281778i
\(698\) −6.22596 26.5400i −0.235656 1.00455i
\(699\) 0.619275 0.426471i 0.0234231 0.0161306i
\(700\) 29.9800 5.13108i 1.13314 0.193937i
\(701\) 40.5082i 1.52997i −0.644046 0.764987i \(-0.722745\pi\)
0.644046 0.764987i \(-0.277255\pi\)
\(702\) 20.2756 + 40.0289i 0.765253 + 1.51079i
\(703\) 22.6008 + 31.1073i 0.852404 + 1.17323i
\(704\) 13.3517 1.68980i 0.503210 0.0636869i
\(705\) −14.5231 + 19.4188i −0.546973 + 0.731356i
\(706\) −29.5395 + 34.2245i −1.11173 + 1.28806i
\(707\) 30.0715 1.13096
\(708\) 7.83402 40.1456i 0.294420 1.50877i
\(709\) 10.9326 33.6469i 0.410581 1.26364i −0.505564 0.862789i \(-0.668716\pi\)
0.916145 0.400848i \(-0.131284\pi\)
\(710\) 1.29161 + 0.0935801i 0.0484734 + 0.00351200i
\(711\) −2.09769 + 41.5154i −0.0786696 + 1.55695i
\(712\) 0.836577 + 0.530774i 0.0313521 + 0.0198916i
\(713\) 26.5279 + 8.61942i 0.993476 + 0.322800i
\(714\) −7.17087 + 7.89614i −0.268363 + 0.295506i
\(715\) 18.4274 13.7123i 0.689146 0.512811i
\(716\) −6.19296 + 11.8482i −0.231442 + 0.442790i
\(717\) 1.19975 47.5187i 0.0448055 1.77462i
\(718\) 10.3592 + 0.869493i 0.386603 + 0.0324492i
\(719\) −29.3222 21.3038i −1.09353 0.794497i −0.113540 0.993533i \(-0.536219\pi\)
−0.979992 + 0.199036i \(0.936219\pi\)
\(720\) 17.0425 20.7257i 0.635135 0.772401i
\(721\) −18.4009 + 13.3691i −0.685286 + 0.497889i
\(722\) 6.85934 4.15452i 0.255278 0.154615i
\(723\) 10.4224 13.6091i 0.387613 0.506129i
\(724\) −33.7464 5.70514i −1.25418 0.212030i
\(725\) −10.6301 + 3.72422i −0.394793 + 0.138314i
\(726\) −9.93219 17.3736i −0.368618 0.644794i
\(727\) 30.3883 9.87376i 1.12704 0.366197i 0.314589 0.949228i \(-0.398133\pi\)
0.812450 + 0.583030i \(0.198133\pi\)
\(728\) 19.3435 + 48.8398i 0.716918 + 1.81012i
\(729\) −12.1223 + 24.1257i −0.448972 + 0.893546i
\(730\) 2.53719 6.23463i 0.0939057 0.230754i
\(731\) 3.29140 + 2.39134i 0.121737 + 0.0884469i
\(732\) −0.902815 1.93980i −0.0333690 0.0716970i
\(733\) 13.6374 + 9.90812i 0.503707 + 0.365965i 0.810431 0.585834i \(-0.199233\pi\)
−0.306724 + 0.951798i \(0.599233\pi\)
\(734\) 41.5594 + 17.4681i 1.53399 + 0.644760i
\(735\) −8.32883 + 2.57941i −0.307213 + 0.0951429i
\(736\) −2.54417 + 24.2505i −0.0937792 + 0.893885i
\(737\) 3.33944 + 1.08505i 0.123010 + 0.0399683i
\(738\) 25.9078 27.1200i 0.953678 0.998302i
\(739\) −43.6990 + 14.1987i −1.60750 + 0.522307i −0.968946 0.247274i \(-0.920465\pi\)
−0.638550 + 0.769581i \(0.720465\pi\)
\(740\) −33.3380 33.2703i −1.22553 1.22304i
\(741\) 11.0014 + 37.0128i 0.404148 + 1.35970i
\(742\) 31.5571 + 27.2373i 1.15850 + 0.999913i
\(743\) −8.90590 −0.326726 −0.163363 0.986566i \(-0.552234\pi\)
−0.163363 + 0.986566i \(0.552234\pi\)
\(744\) −30.4977 8.65283i −1.11810 0.317228i
\(745\) −10.4766 14.0791i −0.383834 0.515819i
\(746\) 7.54430 4.56938i 0.276216 0.167297i
\(747\) −5.60199 20.7512i −0.204966 0.759247i
\(748\) 4.76514 0.704025i 0.174231 0.0257417i
\(749\) 3.84660i 0.140552i
\(750\) −26.6050 + 6.49419i −0.971477 + 0.237134i
\(751\) 23.1460i 0.844609i 0.906454 + 0.422305i \(0.138779\pi\)
−0.906454 + 0.422305i \(0.861221\pi\)
\(752\) −0.520676 + 25.0388i −0.0189871 + 0.913072i
\(753\) 4.93873 + 1.74369i 0.179977 + 0.0635435i
\(754\) −10.0780 16.6393i −0.367017 0.605966i
\(755\) −29.4111 39.5244i −1.07038 1.43844i
\(756\) −16.7196 + 26.8252i −0.608087 + 0.975622i
\(757\) 9.48600 0.344775 0.172387 0.985029i \(-0.444852\pi\)
0.172387 + 0.985029i \(0.444852\pi\)
\(758\) 18.9359 21.9391i 0.687782 0.796865i
\(759\) −12.0391 + 3.57844i −0.436993 + 0.129889i
\(760\) 17.6208 14.9226i 0.639174 0.541300i
\(761\) 10.5358 3.42328i 0.381922 0.124094i −0.111763 0.993735i \(-0.535650\pi\)
0.493685 + 0.869641i \(0.335650\pi\)
\(762\) −0.0507710 0.243965i −0.00183924 0.00883793i
\(763\) −35.7921 11.6296i −1.29576 0.421019i
\(764\) 2.55452 + 17.2900i 0.0924192 + 0.625532i
\(765\) 5.94419 7.54323i 0.214913 0.272726i
\(766\) 16.2044 38.5529i 0.585489 1.39297i
\(767\) −58.3298 42.3791i −2.10617 1.53022i
\(768\) 1.85056 27.6510i 0.0667764 0.997768i
\(769\) 12.2565 + 8.90484i 0.441979 + 0.321117i 0.786421 0.617691i \(-0.211932\pi\)
−0.344442 + 0.938808i \(0.611932\pi\)
\(770\) 14.9872 + 6.09906i 0.540101 + 0.219795i
\(771\) 10.1130 28.6434i 0.364210 1.03157i
\(772\) 2.53881 1.26052i 0.0913738 0.0453670i
\(773\) 45.3461 14.7338i 1.63099 0.529940i 0.656489 0.754336i \(-0.272041\pi\)
0.974498 + 0.224396i \(0.0720409\pi\)