Properties

Label 300.2.n.a.131.31
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 131.31
Character \(\chi\) \(=\) 300.131
Dual form 300.2.n.a.71.31

$q$-expansion

\(f(q)\) \(=\) \(q+(0.322989 + 1.37684i) q^{2} +(0.0437168 + 1.73150i) q^{3} +(-1.79136 + 0.889407i) q^{4} +(-1.79390 + 1.33489i) q^{5} +(-2.36987 + 0.619447i) q^{6} -3.04159i q^{7} +(-1.80316 - 2.17913i) q^{8} +(-2.99618 + 0.151391i) q^{9} +O(q^{10})\) \(q+(0.322989 + 1.37684i) q^{2} +(0.0437168 + 1.73150i) q^{3} +(-1.79136 + 0.889407i) q^{4} +(-1.79390 + 1.33489i) q^{5} +(-2.36987 + 0.619447i) q^{6} -3.04159i q^{7} +(-1.80316 - 2.17913i) q^{8} +(-2.99618 + 0.151391i) q^{9} +(-2.41733 - 2.03875i) q^{10} +(0.519850 + 1.59994i) q^{11} +(-1.61832 - 3.06285i) q^{12} +(-1.88691 + 5.80732i) q^{13} +(4.18777 - 0.982401i) q^{14} +(-2.38978 - 3.04778i) q^{15} +(2.41791 - 3.18649i) q^{16} +(-0.841506 + 1.15823i) q^{17} +(-1.17617 - 4.07635i) q^{18} +(2.14597 - 2.95368i) q^{19} +(2.02626 - 3.98676i) q^{20} +(5.26651 - 0.132969i) q^{21} +(-2.03494 + 1.23251i) q^{22} +(1.33200 + 4.09948i) q^{23} +(3.69434 - 3.21743i) q^{24} +(1.43616 - 4.78931i) q^{25} +(-8.60518 - 0.722268i) q^{26} +(-0.393117 - 5.18126i) q^{27} +(2.70521 + 5.44857i) q^{28} +(1.32412 + 1.82249i) q^{29} +(3.42442 - 4.27473i) q^{30} +(-3.80357 + 5.23517i) q^{31} +(5.16823 + 2.29987i) q^{32} +(-2.74756 + 0.970065i) q^{33} +(-1.86650 - 0.784519i) q^{34} +(4.06018 + 5.45631i) q^{35} +(5.23257 - 2.93602i) q^{36} +(-3.25448 + 10.0162i) q^{37} +(4.75986 + 2.00065i) q^{38} +(-10.1379 - 3.01331i) q^{39} +(6.14358 + 1.50214i) q^{40} +(-8.40760 - 2.73179i) q^{41} +(1.88410 + 7.20817i) q^{42} +2.84174i q^{43} +(-2.35423 - 2.40369i) q^{44} +(5.17275 - 4.27114i) q^{45} +(-5.21409 + 3.15804i) q^{46} +(5.06530 - 3.68016i) q^{47} +(5.62310 + 4.04731i) 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} +(7.00677 - 2.21475i) 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} +(6.99166 + 3.33417i) q^{60} +(0.190864 + 0.587420i) q^{61} +(-8.43648 - 3.54599i) q^{62} +(0.460470 + 9.11314i) q^{63} +(-1.49726 + 7.85864i) q^{64} +(-4.36718 - 12.9366i) q^{65} +(-2.22305 - 3.46962i) q^{66} +(-1.22685 + 1.68861i) q^{67} +(0.477296 - 2.82325i) q^{68} +(-7.04002 + 2.48558i) q^{69} +(-6.20105 + 7.35253i) q^{70} +(0.331304 - 0.240707i) q^{71} +(5.73248 + 6.25609i) q^{72} +(0.657763 + 2.02439i) q^{73} +(-14.8419 - 1.24574i) q^{74} +(8.35546 + 2.27733i) q^{75} +(-1.21718 + 7.19974i) q^{76} +(4.86635 - 1.58117i) q^{77} +(0.874415 - 14.9314i) q^{78} +(8.14442 + 11.2098i) q^{79} +(-0.0838934 + 8.94388i) q^{80} +(8.95416 - 0.907190i) q^{81} +(1.04567 - 12.4582i) q^{82} +(5.79636 + 4.21130i) q^{83} +(-9.31593 + 4.92226i) q^{84} +(-0.0365324 - 3.20107i) q^{85} +(-3.91261 + 0.917851i) q^{86} +(-3.09776 + 2.37238i) q^{87} +(2.54910 - 4.01776i) q^{88} +(-0.333139 + 0.108243i) q^{89} +(7.55140 + 5.74250i) 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} +(-3.75628 + 9.04933i) 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
\(3\) 0.0437168 + 1.73150i 0.0252399 + 0.999681i
\(4\) −1.79136 + 0.889407i −0.895678 + 0.444703i
\(5\) −1.79390 + 1.33489i −0.802257 + 0.596979i
\(6\) −2.36987 + 0.619447i −0.967496 + 0.252888i
\(7\) 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
\(9\) −2.99618 + 0.151391i −0.998726 + 0.0504637i
\(10\) −2.41733 2.03875i −0.764427 0.644710i
\(11\) 0.519850 + 1.59994i 0.156741 + 0.482399i 0.998333 0.0577147i \(-0.0183814\pi\)
−0.841592 + 0.540113i \(0.818381\pi\)
\(12\) −1.61832 3.06285i −0.467168 0.884168i
\(13\) −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
\(15\) −2.38978 3.04778i −0.617038 0.786933i
\(16\) 2.41791 3.18649i 0.604478 0.796622i
\(17\) −0.841506 + 1.15823i −0.204095 + 0.280913i −0.898779 0.438403i \(-0.855544\pi\)
0.694684 + 0.719316i \(0.255544\pi\)
\(18\) −1.17617 4.07635i −0.277227 0.960804i
\(19\) 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
\(21\) 5.26651 0.132969i 1.14925 0.0290161i
\(22\) −2.03494 + 1.23251i −0.433851 + 0.262772i
\(23\) 1.33200 + 4.09948i 0.277742 + 0.854801i 0.988481 + 0.151346i \(0.0483606\pi\)
−0.710739 + 0.703456i \(0.751639\pi\)
\(24\) 3.69434 3.21743i 0.754104 0.656755i
\(25\) 1.43616 4.78931i 0.287231 0.957861i
\(26\) −8.60518 0.722268i −1.68762 0.141648i
\(27\) −0.393117 5.18126i −0.0756554 0.997134i
\(28\) 2.70521 + 5.44857i 0.511237 + 1.02968i
\(29\) 1.32412 + 1.82249i 0.245883 + 0.338428i 0.914064 0.405570i \(-0.132927\pi\)
−0.668181 + 0.743998i \(0.732927\pi\)
\(30\) 3.42442 4.27473i 0.625211 0.780456i
\(31\) −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
\(33\) −2.74756 + 0.970065i −0.478289 + 0.168867i
\(34\) −1.86650 0.784519i −0.320101 0.134544i
\(35\) 4.06018 + 5.45631i 0.686295 + 0.922284i
\(36\) 5.23257 2.93602i 0.872095 0.489336i
\(37\) −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
\(39\) −10.1379 3.01331i −1.62336 0.482516i
\(40\) 6.14358 + 1.50214i 0.971385 + 0.237510i
\(41\) −8.40760 2.73179i −1.31305 0.426635i −0.432945 0.901420i \(-0.642526\pi\)
−0.880101 + 0.474786i \(0.842526\pi\)
\(42\) 1.88410 + 7.20817i 0.290723 + 1.11224i
\(43\) 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
\(45\) 5.17275 4.27114i 0.771109 0.636704i
\(46\) −5.21409 + 3.15804i −0.768776 + 0.465627i
\(47\) 5.06530 3.68016i 0.738850 0.536806i −0.153501 0.988149i \(-0.549055\pi\)
0.892351 + 0.451342i \(0.149055\pi\)
\(48\) 5.62310 + 4.04731i 0.811625 + 0.584179i
\(49\) −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 \(0.0318202\pi\)
−0.212559 + 0.977148i \(0.568180\pi\)
\(54\) 7.00677 2.21475i 0.953501 0.301389i
\(55\) −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 \(-0.620948\pi\)
0.845920 0.533311i \(-0.179052\pi\)
\(60\) 6.99166 + 3.33417i 0.902619 + 0.430440i
\(61\) 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
\(63\) 0.460470 + 9.11314i 0.0580137 + 1.14815i
\(64\) −1.49726 + 7.85864i −0.187157 + 0.982330i
\(65\) −4.36718 12.9366i −0.541682 1.60458i
\(66\) −2.22305 3.46962i −0.273639 0.427081i
\(67\) −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
\(69\) −7.04002 + 2.48558i −0.847519 + 0.299228i
\(70\) −6.20105 + 7.35253i −0.741167 + 0.878795i
\(71\) 0.331304 0.240707i 0.0393186 0.0285666i −0.567952 0.823061i \(-0.692264\pi\)
0.607271 + 0.794495i \(0.292264\pi\)
\(72\) 5.73248 + 6.25609i 0.675579 + 0.737288i
\(73\) 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
\(75\) 8.35546 + 2.27733i 0.964806 + 0.262964i
\(76\) −1.21718 + 7.19974i −0.139620 + 0.825866i
\(77\) 4.86635 1.58117i 0.554572 0.180191i
\(78\) 0.874415 14.9314i 0.0990080 1.69065i
\(79\) 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
\(81\) 8.95416 0.907190i 0.994907 0.100799i
\(82\) 1.04567 12.4582i 0.115475 1.37578i
\(83\) 5.79636 + 4.21130i 0.636233 + 0.462250i 0.858554 0.512723i \(-0.171363\pi\)
−0.222321 + 0.974974i \(0.571363\pi\)
\(84\) −9.31593 + 4.92226i −1.01645 + 0.537063i
\(85\) −0.0365324 3.20107i −0.00396249 0.347205i
\(86\) −3.91261 + 0.917851i −0.421908 + 0.0989745i
\(87\) −3.09776 + 2.37238i −0.332114 + 0.254346i
\(88\) 2.54910 4.01776i 0.271735 0.428294i
\(89\) −0.333139 + 0.108243i −0.0353126 + 0.0114738i −0.326620 0.945156i \(-0.605910\pi\)
0.291307 + 0.956629i \(0.405910\pi\)
\(90\) 7.55140 + 5.74250i 0.795988 + 0.605313i
\(91\) 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
\(96\) −3.75628 + 9.04933i −0.383374 + 0.923593i
\(97\) −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 \(-0.836308\pi\)
0.870660 0.491886i \(-0.163692\pi\)
\(102\) 1.27680 3.26613i 0.126422 0.323395i
\(103\) −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
\(105\) −9.27009 + 7.26872i −0.904668 + 0.709355i
\(106\) −8.95496 + 10.3752i −0.869783 + 1.00773i
\(107\) −1.26467 −0.122260 −0.0611301 0.998130i \(-0.519470\pi\)
−0.0611301 + 0.998130i \(0.519470\pi\)
\(108\) 5.31246 + 8.93184i 0.511192 + 0.859467i
\(109\) 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
\(111\) −17.4854 5.19724i −1.65964 0.493300i
\(112\) −9.69199 7.35429i −0.915807 0.694915i
\(113\) 14.3187 + 4.65242i 1.34699 + 0.437662i 0.891678 0.452671i \(-0.149529\pi\)
0.455309 + 0.890334i \(0.349529\pi\)
\(114\) −3.25603 + 8.32916i −0.304956 + 0.780097i
\(115\) −7.86182 5.57599i −0.733119 0.519964i
\(116\) −3.99290 2.08705i −0.370732 0.193778i
\(117\) 4.77435 17.6854i 0.441389 1.63502i
\(118\) 16.6400 + 1.39666i 1.53184 + 0.128573i
\(119\) 3.52287 + 2.55952i 0.322941 + 0.234630i
\(120\) −2.33238 + 10.7033i −0.212916 + 0.977070i
\(121\) 6.60964 4.80218i 0.600876 0.436562i
\(122\) −0.747134 + 0.452519i −0.0676423 + 0.0409692i
\(123\) 4.36255 14.6772i 0.393358 1.32340i
\(124\) 2.15736 12.7610i 0.193737 1.14597i
\(125\) 3.81686 + 10.5086i 0.341390 + 0.939922i
\(126\) −12.3986 + 3.57744i −1.10455 + 0.318704i
\(127\) 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
\(129\) −4.92047 + 0.124232i −0.433223 + 0.0109380i
\(130\) 16.4010 10.1913i 1.43846 0.893833i
\(131\) −2.63804 1.91665i −0.230486 0.167458i 0.466548 0.884496i \(-0.345498\pi\)
−0.697034 + 0.717038i \(0.745498\pi\)
\(132\) 4.05908 4.18143i 0.353297 0.363947i
\(133\) −8.98388 6.52717i −0.779001 0.565978i
\(134\) −2.72119 1.14376i −0.235075 0.0988061i
\(135\) 7.62161 + 8.76990i 0.655963 + 0.754793i
\(136\) 4.04131 0.254721i 0.346540 0.0218421i
\(137\) 1.43686 + 0.466863i 0.122759 + 0.0398868i 0.369752 0.929130i \(-0.379443\pi\)
−0.246993 + 0.969017i \(0.579443\pi\)
\(138\) −5.69608 8.89014i −0.484883 0.756779i
\(139\) −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
\(141\) 6.59363 + 8.60968i 0.555284 + 0.725066i
\(142\) 0.438421 + 0.378406i 0.0367915 + 0.0317551i
\(143\) −10.2723 −0.859009
\(144\) −6.76209 + 9.91333i −0.563507 + 0.826111i
\(145\) −4.80816 1.50182i −0.399296 0.124720i
\(146\) −2.57480 + 1.55949i −0.213092 + 0.129064i
\(147\) −0.0984180 3.89806i −0.00811738 0.321506i
\(148\) −3.07859 20.8372i −0.253059 1.71281i
\(149\) 7.84832i 0.642960i 0.946916 + 0.321480i \(0.104180\pi\)
−0.946916 + 0.321480i \(0.895820\pi\)
\(150\) −0.436787 + 12.2397i −0.0356635 + 0.999364i
\(151\) 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
\(153\) 2.34596 3.59767i 0.189659 0.290854i
\(154\) 3.74879 + 6.18946i 0.302086 + 0.498761i
\(155\) −0.165125 14.4687i −0.0132632 1.16215i
\(156\) 20.8406 3.61877i 1.66858 0.289734i
\(157\) 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
\(159\) −13.3264 + 10.2059i −1.05686 + 0.809381i
\(160\) −12.3414 + 2.77327i −0.975670 + 0.219246i
\(161\) 12.4689 4.05140i 0.982690 0.319295i
\(162\) 4.14115 + 12.0354i 0.325359 + 0.945590i
\(163\) 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
\(165\) 3.63392 5.40788i 0.282901 0.421003i
\(166\) −3.92611 + 9.34084i −0.304725 + 0.724990i
\(167\) 11.1648 + 8.11168i 0.863956 + 0.627701i 0.928958 0.370184i \(-0.120705\pi\)
−0.0650023 + 0.997885i \(0.520705\pi\)
\(168\) −9.78609 11.2367i −0.755013 0.866928i
\(169\) −19.6473 14.2746i −1.51133 1.09805i
\(170\) 4.39555 1.08421i 0.337123 0.0831552i
\(171\) −5.98256 + 9.17463i −0.457498 + 0.701602i
\(172\) −2.52746 5.09057i −0.192717 0.388152i
\(173\) −13.1064 + 4.25851i −0.996458 + 0.323769i −0.761449 0.648225i \(-0.775512\pi\)
−0.235008 + 0.971993i \(0.575512\pi\)
\(174\) −4.26693 3.49885i −0.323475 0.265247i
\(175\) −14.5671 4.36820i −1.10117 0.330205i
\(176\) 6.35513 + 2.21200i 0.479036 + 0.166736i
\(177\) 19.6038 + 5.82690i 1.47351 + 0.437977i
\(178\) −0.256633 0.423716i −0.0192355 0.0317588i
\(179\) −5.40793 + 3.92909i −0.404207 + 0.293674i −0.771253 0.636529i \(-0.780369\pi\)
0.367045 + 0.930203i \(0.380369\pi\)
\(180\) −5.46747 + 12.2518i −0.407521 + 0.913196i
\(181\) 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
\(183\) −1.00877 + 0.356161i −0.0745706 + 0.0263282i
\(184\) 6.53152 10.2946i 0.481510 0.758929i
\(185\) −7.53235 22.3125i −0.553789 1.64045i
\(186\) 5.77107 14.7628i 0.423155 1.08246i
\(187\) −2.29056 0.744247i −0.167502 0.0544247i
\(188\) −5.80060 + 11.0976i −0.423052 + 0.809375i
\(189\) −15.7593 + 1.19570i −1.14632 + 0.0869744i
\(190\) −11.2094 + 2.76491i −0.813212 + 0.200588i
\(191\) −2.70046 + 8.31116i −0.195398 + 0.601374i 0.804573 + 0.593853i \(0.202394\pi\)
−0.999972 + 0.00752103i \(0.997606\pi\)
\(192\) −13.6727 2.24894i −0.986741 0.162304i
\(193\) −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
\(195\) 22.2087 8.12732i 1.59040 0.582009i
\(196\) 4.03281 2.00229i 0.288058 0.143021i
\(197\) −2.75253 3.78854i −0.196110 0.269922i 0.699625 0.714510i \(-0.253350\pi\)
−0.895735 + 0.444588i \(0.853350\pi\)
\(198\) 5.91046 4.00089i 0.420038 0.284331i
\(199\) 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
\(204\) 4.90932 + 0.703014i 0.343721 + 0.0492208i
\(205\) 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
\(210\) −13.0020 10.4157i −0.897222 0.718750i
\(211\) 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
\(213\) 0.431267 + 0.563130i 0.0295499 + 0.0385850i
\(214\) −0.408475 1.74124i −0.0279227 0.119029i
\(215\) −3.79340 5.09780i −0.258708 0.347667i
\(216\) −10.5818 + 10.1993i −0.720001 + 0.693973i
\(217\) 15.9232 + 11.5689i 1.08094 + 0.785349i
\(218\) 17.4370 + 1.46356i 1.18098 + 0.0991245i
\(219\) −3.47647 + 1.22742i −0.234918 + 0.0829411i
\(220\) 7.43191 + 1.16936i 0.501060 + 0.0788382i
\(221\) −5.13839 7.07238i −0.345645 0.475740i
\(222\) 1.50816 25.7532i 0.101221 1.72844i
\(223\) −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
\(225\) −3.57792 + 14.5670i −0.238528 + 0.971136i
\(226\) −1.78084 + 21.2171i −0.118460 + 1.41134i
\(227\) −4.02587 12.3904i −0.267206 0.822377i −0.991177 0.132546i \(-0.957685\pi\)
0.723970 0.689831i \(-0.242315\pi\)
\(228\) −12.5195 1.79280i −0.829127 0.118731i
\(229\) −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
\(231\) 2.95054 + 8.35695i 0.194131 + 0.549847i
\(232\) 1.58386 6.17167i 0.103986 0.405190i
\(233\) −0.255169 + 0.351210i −0.0167167 + 0.0230085i −0.817294 0.576222i \(-0.804527\pi\)
0.800577 + 0.599230i \(0.204527\pi\)
\(234\) 25.8920 + 0.861293i 1.69261 + 0.0563045i
\(235\) −4.17406 + 13.3634i −0.272285 + 0.871735i
\(236\) 3.45157 + 23.3617i 0.224678 + 1.52072i
\(237\) −19.0538 + 14.5921i −1.23767 + 0.947859i
\(238\) −2.38618 + 5.67711i −0.154673 + 0.367992i
\(239\) 8.48056 + 26.1005i 0.548562 + 1.68830i 0.712367 + 0.701807i \(0.247623\pi\)
−0.163805 + 0.986493i \(0.552377\pi\)
\(240\) −15.4900 + 0.245737i −0.999874 + 0.0158622i
\(241\) 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
\(246\) 21.6171 + 1.26594i 1.37826 + 0.0807135i
\(247\) 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 \(-0.530423\pi\)
−0.0954327 + 0.995436i \(0.530423\pi\)
\(252\) −8.93015 15.9153i −0.562547 1.00257i
\(253\) −5.86646 + 4.26224i −0.368821 + 0.267964i
\(254\) 0.0745338 + 0.123059i 0.00467667 + 0.00772143i
\(255\) 5.54105 0.203196i 0.346994 0.0127247i
\(256\) −4.30741 15.4093i −0.269213 0.963081i
\(257\) 17.5378i 1.09398i 0.837141 + 0.546988i \(0.184226\pi\)
−0.837141 + 0.546988i \(0.815774\pi\)
\(258\) −1.76031 6.73455i −0.109592 0.419275i
\(259\) 30.4653 + 9.89878i 1.89302 + 0.615080i
\(260\) 19.3290 + 19.2898i 1.19874 + 1.19630i
\(261\) −4.24320 5.26005i −0.262648 0.325589i
\(262\) 1.78685 4.25120i 0.110392 0.262640i
\(263\) 7.97131 24.5332i 0.491532 1.51278i −0.330761 0.943715i \(-0.607305\pi\)
0.822293 0.569065i \(-0.192695\pi\)
\(264\) 7.06818 + 4.23813i 0.435017 + 0.260839i
\(265\) −20.6845 6.46079i −1.27064 0.396883i
\(266\) 6.08515 14.4775i 0.373104 0.887675i
\(267\) −0.201987 0.572097i −0.0123614 0.0350118i
\(268\) 0.695858 4.11606i 0.0425063 0.251429i
\(269\) 5.90843 8.13226i 0.360244 0.495833i −0.589973 0.807423i \(-0.700862\pi\)
0.950217 + 0.311590i \(0.100862\pi\)
\(270\) −9.61302 + 13.3263i −0.585030 + 0.811012i
\(271\) −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
\(273\) −9.16525 + 30.8352i −0.554706 + 1.86623i
\(274\) −0.178705 + 2.12911i −0.0107959 + 0.128624i
\(275\) 8.40917 0.191965i 0.507092 0.0115759i
\(276\) 10.4005 10.7140i 0.626036 0.644907i
\(277\) −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
\(279\) 10.6036 16.2613i 0.634822 0.973540i
\(280\) 4.56890 18.6862i 0.273044 1.11672i
\(281\) −14.0046 + 19.2756i −0.835441 + 1.14989i 0.151444 + 0.988466i \(0.451608\pi\)
−0.986886 + 0.161421i \(0.948392\pi\)
\(282\) −9.72445 + 11.8592i −0.579083 + 0.706204i
\(283\) 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
\(285\) −14.1306 + 0.518183i −0.837023 + 0.0306945i
\(286\) −3.31783 14.1432i −0.196187 0.836306i
\(287\) −8.30900 + 25.5725i −0.490464 + 1.50949i
\(288\) −15.8331 6.10838i −0.932975 0.359940i
\(289\) 4.61992 + 14.2186i 0.271760 + 0.836391i
\(290\) 0.514780 7.10512i 0.0302289 0.417227i
\(291\) −0.845279 1.10373i −0.0495511 0.0647018i
\(292\) −2.97879 3.04138i −0.174320 0.177983i
\(293\) 4.61787i 0.269779i 0.990861 + 0.134890i \(0.0430680\pi\)
−0.990861 + 0.134890i \(0.956932\pi\)
\(294\) 5.33520 1.39454i 0.311155 0.0813310i
\(295\) 8.44490 + 25.0157i 0.491681 + 1.45647i
\(296\) 27.6951 10.9689i 1.60974 0.637555i
\(297\) 8.08532 3.32244i 0.469158 0.192788i
\(298\) −10.8059 + 2.53492i −0.625966 + 0.146844i
\(299\) −26.3204 −1.52215
\(300\) −16.9931 + 3.35189i −0.981096 + 0.193522i
\(301\) 8.64340 0.498197
\(302\) 30.3353 7.11631i 1.74560 0.409498i
\(303\) 17.1189 0.432218i 0.983458 0.0248303i
\(304\) −4.22309 13.9799i −0.242211 0.801800i
\(305\) −1.12653 0.798991i −0.0645049 0.0457501i
\(306\) 5.71112 + 2.06799i 0.326483 + 0.118219i
\(307\) 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
\(309\) 10.2830 7.87514i 0.584981 0.448001i
\(310\) 19.8677 4.90059i 1.12841 0.278335i
\(311\) −0.348878 1.07373i −0.0197830 0.0608859i 0.940678 0.339302i \(-0.110191\pi\)
−0.960461 + 0.278416i \(0.910191\pi\)
\(312\) 11.7137 + 27.5252i 0.663160 + 1.55831i
\(313\) −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
\(315\) −12.9910 15.7334i −0.731962 0.886476i
\(316\) −24.5596 12.8371i −1.38159 0.722143i
\(317\) −9.65590 + 13.2902i −0.542330 + 0.746453i −0.988947 0.148273i \(-0.952629\pi\)
0.446617 + 0.894725i \(0.352629\pi\)
\(318\) −18.3562 15.0519i −1.02936 0.844070i
\(319\) −2.22753 + 3.06593i −0.124718 + 0.171659i
\(320\) −7.80446 16.0963i −0.436283 0.899810i
\(321\) −0.0552873 2.18977i −0.00308584 0.122221i
\(322\) 9.60545 + 15.8591i 0.535291 + 0.883795i
\(323\) 1.61520 + 4.97108i 0.0898722 + 0.276598i
\(324\) −15.2332 + 9.58899i −0.846290 + 0.532722i
\(325\) 25.1031 + 17.3772i 1.39247 + 0.963915i
\(326\) −0.557903 + 6.64692i −0.0308994 + 0.368139i
\(327\) 20.5427 + 6.10598i 1.13601 + 0.337661i
\(328\) 9.20726 + 23.2471i 0.508386 + 1.28361i
\(329\) −11.1935 15.4066i −0.617119 0.849392i
\(330\) 8.61948 + 3.25663i 0.474487 + 0.179272i
\(331\) 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
\(333\) 8.23462 30.5032i 0.451254 1.67156i
\(334\) −7.56236 + 17.9920i −0.413794 + 0.984481i
\(335\) −0.0532612 4.66689i −0.00290997 0.254980i
\(336\) 12.3102 17.1032i 0.671579 0.933054i
\(337\) 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
\(339\) −7.42969 + 24.9961i −0.403525 + 1.35760i
\(340\) 2.91250 + 5.70176i 0.157952 + 0.309222i
\(341\) −10.3532 3.36397i −0.560658 0.182169i
\(342\) −14.5643 5.27370i −0.787545 0.285169i
\(343\) 14.4437i 0.779887i
\(344\) 6.19253 5.12410i 0.333879 0.276273i
\(345\) 9.31113 13.8565i 0.501294 0.746009i
\(346\) −10.0965 16.6698i −0.542790 0.896177i
\(347\) −2.02863 + 1.47389i −0.108903 + 0.0791223i −0.640904 0.767621i \(-0.721440\pi\)
0.532001 + 0.846744i \(0.321440\pi\)
\(348\) 3.43917 7.00495i 0.184359 0.375505i
\(349\) 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 \(0.123847\pi\)
0.0748460 + 0.997195i \(0.476153\pi\)
\(354\) −1.69087 + 28.8732i −0.0898689 + 1.53459i
\(355\) −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 −0.873048 0.487635i \(-0.837860\pi\)
0.992935 + 0.118660i \(0.0378598\pi\)
\(360\) −18.6347 3.57060i −0.982133 0.188187i
\(361\) 1.75230 + 5.39303i 0.0922264 + 0.283844i
\(362\) −9.37739 + 22.3103i −0.492864 + 1.17260i
\(363\) 8.60393 + 11.2346i 0.451589 + 0.589666i
\(364\) −36.7461 + 5.42905i −1.92602 + 0.284559i
\(365\) −3.88229 2.75351i −0.203208 0.144125i
\(366\) −0.816199 1.27388i −0.0426634 0.0665867i
\(367\) −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
\(369\) 25.6042 + 6.91210i 1.33290 + 0.359830i
\(370\) 28.2878 17.5775i 1.47061 0.913811i
\(371\) 23.8470 17.3258i 1.23807 0.899512i
\(372\) 22.1899 + 3.17760i 1.15049 + 0.164751i
\(373\) 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
\(375\) −18.0288 + 7.06829i −0.931006 + 0.365005i
\(376\) −17.1531 4.40208i −0.884603 0.227020i
\(377\) −13.0823 + 4.25070i −0.673773 + 0.218922i
\(378\) −6.73636 21.3117i −0.346481 1.09616i
\(379\) 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
\(381\) 0.0586629 + 0.166154i 0.00300539 + 0.00851231i
\(382\) −12.3153 1.03367i −0.630107 0.0528874i
\(383\) −23.9236 17.3815i −1.22244 0.888153i −0.226138 0.974095i \(-0.572610\pi\)
−0.996300 + 0.0859420i \(0.972610\pi\)
\(384\) −1.31970 19.5514i −0.0673458 0.997730i
\(385\) −6.61905 + 9.33248i −0.337338 + 0.475627i
\(386\) −0.457759 1.95133i −0.0232993 0.0993201i
\(387\) −0.430214 8.51436i −0.0218690 0.432809i
\(388\) 0.743616 1.42267i 0.0377514 0.0722251i
\(389\) 6.59111 2.14158i 0.334182 0.108582i −0.137119 0.990555i \(-0.543784\pi\)
0.471302 + 0.881972i \(0.343784\pi\)
\(390\) 18.3632 + 27.9528i 0.929855 + 1.41544i
\(391\) −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
\(396\) 7.41759 + 6.84549i 0.372748 + 0.343999i
\(397\) −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 \(-0.898112\pi\)
0.949207 0.314653i \(-0.101888\pi\)
\(402\) 1.86146 4.76175i 0.0928413 0.237494i
\(403\) −23.2253 31.9669i −1.15693 1.59238i
\(404\) 8.79337 + 17.7107i 0.437486 + 0.881142i
\(405\) −14.8519 + 13.5802i −0.737996 + 0.674805i
\(406\) 7.33552 + 6.33136i 0.364056 + 0.314220i
\(407\) −17.7172 −0.878208
\(408\) 0.617723 + 6.98640i 0.0305818 + 0.345878i
\(409\) −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
\(411\) −0.745558 + 2.50833i −0.0367757 + 0.123727i
\(412\) 13.2545 + 6.92798i 0.653001 + 0.341317i
\(413\) −34.1562 11.0980i −1.68072 0.546099i
\(414\) 15.1442 10.2514i 0.744299 0.503829i
\(415\) −16.0197 + 0.182826i −0.786376 + 0.00897456i
\(416\) −23.1081 + 25.6739i −1.13297 + 1.25877i
\(417\) −5.02841 14.2422i −0.246242 0.697443i
\(418\) −0.726492 + 8.65551i −0.0355339 + 0.423355i
\(419\) −8.34417 6.06239i −0.407639 0.296167i 0.365006 0.931005i \(-0.381067\pi\)
−0.772645 + 0.634838i \(0.781067\pi\)
\(420\) 10.1412 21.2657i 0.494839 1.03766i
\(421\) −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
\(423\) −14.6194 + 11.7932i −0.710820 + 0.573407i
\(424\) 6.81373 26.5503i 0.330904 1.28940i
\(425\) 4.33860 + 5.69364i 0.210453 + 0.276182i
\(426\) −0.636043 + 0.775669i −0.0308164 + 0.0375813i
\(427\) 1.78669 0.580531i 0.0864640 0.0280938i
\(428\) 2.26547 1.12481i 0.109506 0.0543695i
\(429\) −0.449070 17.7864i −0.0216813 0.858735i
\(430\) 5.79360 6.86942i 0.279392 0.331273i
\(431\) −16.0970 11.6952i −0.775365 0.563336i 0.128219 0.991746i \(-0.459074\pi\)
−0.903584 + 0.428410i \(0.859074\pi\)
\(432\) −17.4605 11.2752i −0.840071 0.542477i
\(433\) −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
\(435\) 2.39021 8.39097i 0.114602 0.402316i
\(436\) 3.61688 + 24.4806i 0.173217 + 1.17241i
\(437\) 14.9670 + 4.86307i 0.715969 + 0.232632i
\(438\) −2.81281 4.39008i −0.134401 0.209766i
\(439\) 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
\(441\) 6.74518 0.340821i 0.321199 0.0162296i
\(442\) 8.07787 9.35902i 0.384225 0.445163i
\(443\) 25.0923 1.19217 0.596086 0.802920i \(-0.296722\pi\)
0.596086 + 0.802920i \(0.296722\pi\)
\(444\) 35.9450 6.24152i 1.70588 0.296209i
\(445\) 0.453125 0.638880i 0.0214802 0.0302858i
\(446\) −19.1299 31.5845i −0.905827 1.49557i
\(447\) −13.5894 + 0.343104i −0.642755 + 0.0162282i
\(448\) 23.9028 + 4.55404i 1.12930 + 0.215158i
\(449\) 19.5542i 0.922821i 0.887187 + 0.461410i \(0.152656\pi\)
−0.887187 + 0.461410i \(0.847344\pi\)
\(450\) −21.2120 0.221217i −0.999946 0.0104283i
\(451\) 14.8717i 0.700283i
\(452\) −29.7877 + 4.40098i −1.40110 + 0.207005i
\(453\) 38.1495 0.963197i 1.79242 0.0452549i
\(454\) 15.7592 9.54492i 0.739615 0.447965i
\(455\) −39.3477 + 13.2832i −1.84465 + 0.622725i
\(456\) −1.57529 17.8164i −0.0737698 0.834330i
\(457\) −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
\(459\) 6.33192 + 3.90474i 0.295549 + 0.182258i
\(460\) 19.0426 + 2.99623i 0.887868 + 0.139700i
\(461\) −11.5831 + 3.76359i −0.539481 + 0.175288i −0.566068 0.824359i \(-0.691536\pi\)
0.0265872 + 0.999646i \(0.491536\pi\)
\(462\) −10.5532 + 6.76161i −0.490977 + 0.314579i
\(463\) −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
\(465\) 25.0453 0.918440i 1.16145 0.0425916i
\(466\) −0.565975 0.237889i −0.0262183 0.0110200i
\(467\) −14.7510 10.7172i −0.682594 0.495933i 0.191623 0.981469i \(-0.438625\pi\)
−0.874217 + 0.485535i \(0.838625\pi\)
\(468\) 7.17698 + 35.9272i 0.331756 + 1.66074i
\(469\) 5.13605 + 3.73156i 0.237161 + 0.172307i
\(470\) −19.7474 1.43074i −0.910882 0.0659953i
\(471\) 0.248227 + 9.83157i 0.0114377 + 0.453015i
\(472\) −31.0504 + 12.2978i −1.42921 + 0.566053i
\(473\) −4.54660 + 1.47728i −0.209053 + 0.0679254i
\(474\) −26.2451 21.5208i −1.20548 0.988483i
\(475\) −11.0641 14.5197i −0.507657 0.666208i
\(476\) −8.58716 1.45174i −0.393592 0.0665403i
\(477\) −18.2541 22.6286i −0.835798 1.03609i
\(478\) −33.1970 + 20.1065i −1.51839 + 0.919651i
\(479\) 26.7381 19.4263i 1.22169 0.887612i 0.225454 0.974254i \(-0.427614\pi\)
0.996240 + 0.0866417i \(0.0276135\pi\)
\(480\) −5.34144 21.2478i −0.243802 0.969825i
\(481\) −52.0267 37.7996i −2.37221 1.72351i
\(482\) 13.9470 + 1.17063i 0.635269 + 0.0533207i
\(483\) 7.56010 + 21.4128i 0.343997 + 0.974318i
\(484\) −7.56912 + 14.4811i −0.344051 + 0.658231i
\(485\) 0.535099 1.71314i 0.0242976 0.0777898i
\(486\) −20.6582 + 7.69655i −0.937077 + 0.349122i
\(487\) −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
\(489\) −2.32758 + 7.83081i −0.105257 + 0.354122i
\(490\) 5.44204 + 4.58977i 0.245847 + 0.207345i
\(491\) −5.36273 + 16.5048i −0.242017 + 0.744851i 0.754096 + 0.656764i \(0.228075\pi\)
−0.996113 + 0.0880867i \(0.971925\pi\)
\(492\) 5.23910 + 30.1721i 0.236197 + 1.36026i
\(493\) −3.22513 −0.145252
\(494\) −20.5999 + 23.8670i −0.926831 + 1.07383i
\(495\) 9.52260 + 6.05572i 0.428009 + 0.272184i
\(496\) 7.48510 + 24.7782i 0.336091 + 1.11257i
\(497\) −0.732131 1.00769i −0.0328406 0.0452011i
\(498\) −16.3453 6.38970i −0.732450 0.286329i
\(499\) 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 −0.907002 0.421126i \(-0.861635\pi\)
0.120236 + 0.992745i \(0.461635\pi\)
\(504\) 19.0285 17.4358i 0.847595 0.776654i
\(505\) 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 0.836750 0.547585i \(-0.184453\pi\)
0.355083 + 0.934835i \(0.384453\pi\)
\(510\) 2.06947 + 7.56349i 0.0916376 + 0.334917i
\(511\) 6.15735 2.00064i 0.272385 0.0885033i
\(512\) 19.8248 10.9076i 0.876142 0.482054i
\(513\) −16.1474 9.95771i −0.712925 0.439644i
\(514\) −24.1466 + 5.66451i −1.06506 + 0.249851i
\(515\) 15.9607 + 4.98531i 0.703312 + 0.219679i
\(516\) 8.70382 4.59884i 0.383164 0.202453i
\(517\) 8.52121 + 6.19102i 0.374763 + 0.272281i
\(518\) −3.78903 + 45.1429i −0.166480 + 1.98347i
\(519\) −7.94658 22.5075i −0.348816 0.987968i
\(520\) −20.3158 + 32.8433i −0.890908 + 1.44028i
\(521\) 14.3419 + 19.7399i 0.628330 + 0.864822i 0.997926 0.0643702i \(-0.0205038\pi\)
−0.369596 + 0.929193i \(0.620504\pi\)
\(522\) 5.87172 7.54114i 0.256998 0.330067i
\(523\) 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
\(525\) 6.92670 25.4139i 0.302306 1.10915i
\(526\) 36.3528 + 3.05124i 1.58506 + 0.133040i
\(527\) −2.86282 8.81085i −0.124706 0.383807i
\(528\) −3.55226 + 11.1006i −0.154592 + 0.483091i
\(529\) 3.57587 2.59802i 0.155472 0.112957i
\(530\) 2.21457 30.5660i 0.0961947 1.32770i
\(531\) −9.23226 + 34.1987i −0.400646 + 1.48410i
\(532\) 21.8986 + 3.70216i 0.949426 + 0.160509i
\(533\) 31.7288 43.6710i 1.37433 1.89160i
\(534\) 0.722444 0.462884i 0.0312632 0.0200310i
\(535\) 2.26869 1.68819i 0.0980840 0.0729868i
\(536\) 5.89190 0.371362i 0.254491 0.0160404i
\(537\) −7.03963 9.19205i −0.303782 0.396666i
\(538\) 13.1052 + 5.50831i 0.565003 + 0.237480i
\(539\) −1.17032 3.60187i −0.0504092 0.155144i
\(540\) −21.4530 8.93130i −0.923191 0.384342i
\(541\) −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
\(546\) −45.4153 2.65961i −1.94360 0.113821i
\(547\) 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
\(552\) 18.1107 + 10.8593i 0.770841 + 0.462201i
\(553\) 34.0957 24.7720i 1.44990 1.05341i
\(554\) 7.73915 4.68740i 0.328805 0.199148i
\(555\) 38.3048 14.0177i 1.62595 0.595017i
\(556\) 12.4597 12.2033i 0.528411 0.517537i
\(557\) 42.7946i 1.81327i −0.421920 0.906633i \(-0.638644\pi\)
0.421920 0.906633i \(-0.361356\pi\)
\(558\) 25.8140 + 9.34722i 1.09280 + 0.395699i
\(559\) −16.5029 5.36212i −0.697998 0.226793i
\(560\) 27.2036 + 0.255169i 1.14956 + 0.0107829i
\(561\) 1.18853 3.99863i 0.0501796 0.168822i
\(562\) −31.0627 13.0562i −1.31030 0.550741i
\(563\) −11.2765 + 34.7054i −0.475246 + 1.46266i 0.370380 + 0.928880i \(0.379227\pi\)
−0.845626 + 0.533776i \(0.820773\pi\)
\(564\) −19.4690 9.55859i −0.819795 0.402489i
\(565\) −31.8967 + 10.7678i −1.34190 + 0.453005i
\(566\) 31.9918 + 13.4467i 1.34472 + 0.565206i
\(567\) −2.75930 27.2349i −0.115880 1.14376i
\(568\) −1.12193 0.287925i −0.0470750 0.0120811i
\(569\) 25.5787 35.2061i 1.07232 1.47592i 0.204608 0.978844i \(-0.434408\pi\)
0.867709 0.497073i \(-0.165592\pi\)
\(570\) −5.27748 19.2881i −0.221049 0.807890i
\(571\) 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
\(573\) −14.5088 4.31250i −0.606115 0.180157i
\(574\) −37.8928 3.18050i −1.58161 0.132751i
\(575\) 21.5466 0.491868i 0.898557 0.0205123i
\(576\) 3.29632 23.7726i 0.137347 0.990523i
\(577\) −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
\(579\) −0.0619579 2.45398i −0.00257488 0.101984i
\(580\) 9.94885 1.58611i 0.413104 0.0658596i
\(581\) 12.8090 17.6301i 0.531409 0.731421i
\(582\) 1.24664 1.52030i 0.0516748 0.0630186i
\(583\) −9.58274 + 13.1895i −0.396877 + 0.546254i
\(584\) 3.22536 5.08364i 0.133466 0.210362i
\(585\) 15.0433 + 38.0991i 0.621965 + 1.57520i
\(586\) −6.35805 + 1.49152i −0.262649 + 0.0616143i
\(587\) 8.49989 26.1600i 0.350828 1.07974i −0.607561 0.794273i \(-0.707852\pi\)
0.958389 0.285465i \(-0.0921480\pi\)
\(588\) 3.64326 + 6.89528i 0.150246 + 0.284356i
\(589\) 7.30065 + 22.4691i 0.300818 + 0.925822i
\(590\) −31.7149 + 19.7071i −1.30568 + 0.811327i
\(591\) 6.43952 4.93163i 0.264886 0.202860i
\(592\) 24.0476 + 34.5887i 0.988351 + 1.42159i
\(593\) 41.8987i 1.72057i −0.509810 0.860287i \(-0.670284\pi\)
0.509810 0.860287i \(-0.329716\pi\)
\(594\) 7.18593 + 10.0590i 0.294842 + 0.412728i
\(595\) −9.73634 + 0.111116i −0.399151 + 0.00455533i
\(596\) −6.98035 14.0591i −0.285926 0.575885i
\(597\) 31.4211 0.793319i 1.28598 0.0324684i
\(598\) −8.50120 36.2389i −0.347640 1.48192i
\(599\) −12.8584 −0.525378 −0.262689 0.964881i \(-0.584609\pi\)
−0.262689 + 0.964881i \(0.584609\pi\)
\(600\) −10.1036 22.3141i −0.412477 0.910968i
\(601\) 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
\(603\) 3.42021 5.24510i 0.139282 0.213597i
\(604\) 19.5960 + 39.4683i 0.797349 + 1.60594i
\(605\) −5.44666 + 17.4378i −0.221438 + 0.708946i
\(606\) 6.12433 + 23.4304i 0.248784 + 0.951794i
\(607\) 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
\(609\) 7.21581 + 9.42210i 0.292400 + 0.381803i
\(610\) 0.736222 1.80911i 0.0298088 0.0732488i
\(611\) 11.8141 + 36.3600i 0.477946 + 1.47097i
\(612\) −1.00265 + 8.53122i −0.0405297 + 0.344854i
\(613\) 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
\(615\) 11.7664 + 32.1529i 0.474467 + 1.29653i
\(616\) −12.2204 7.75332i −0.492373 0.312390i
\(617\) 5.27723 7.26349i 0.212453 0.292417i −0.689469 0.724315i \(-0.742156\pi\)
0.901922 + 0.431898i \(0.142156\pi\)
\(618\) 14.1641 + 11.6145i 0.569763 + 0.467202i
\(619\) −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
\(621\) 20.7169 8.51303i 0.831339 0.341616i
\(622\) 1.36567 0.827152i 0.0547585 0.0331658i
\(623\) 0.329232 + 1.01327i 0.0131904 + 0.0405958i
\(624\) −34.1143 + 25.0183i −1.36567 + 1.00153i
\(625\) −20.8749 13.7564i −0.834996 0.550256i
\(626\) −8.94300 0.750622i −0.357434 0.0300009i
\(627\) −3.03093 + 10.1971i −0.121044 + 0.407235i
\(628\) −10.1714 + 5.05011i −0.405885 + 0.201521i
\(629\) −8.86249 12.1982i −0.353371 0.486373i
\(630\) 17.4663 22.9683i 0.695875 0.915077i
\(631\) 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
\(633\) 0.287500 + 0.814301i 0.0114271 + 0.0323656i
\(634\) −21.4172 9.00200i −0.850586 0.357515i
\(635\) −0.131601 + 0.185549i −0.00522241 + 0.00736330i
\(636\) 14.7952 30.1350i 0.586668 1.19493i
\(637\) 4.24794 13.0738i 0.168309 0.518003i
\(638\) −4.94075 2.07668i −0.195606 0.0822165i
\(639\) −0.956206 + 0.771357i −0.0378269 + 0.0305144i
\(640\) 19.6412 15.9444i 0.776386 0.630257i
\(641\) 16.7565 + 5.44451i 0.661841 + 0.215045i 0.620628 0.784105i \(-0.286878\pi\)
0.0412132 + 0.999150i \(0.486878\pi\)
\(642\) 2.99710 0.783395i 0.118286 0.0309181i
\(643\) 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
\(645\) 8.66100 6.79113i 0.341026 0.267400i
\(646\) −6.32267 + 3.82947i −0.248762 + 0.150669i
\(647\) 16.6821 12.1203i 0.655843 0.476498i −0.209414 0.977827i \(-0.567156\pi\)
0.865256 + 0.501329i \(0.167156\pi\)
\(648\) −18.1226 17.8765i −0.711925 0.702256i
\(649\) 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 \(0.0621911\pi\)
−0.118501 + 0.992954i \(0.537809\pi\)
\(654\) −1.77186 + 30.2561i −0.0692851 + 1.18311i
\(655\) 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 \(-0.712453\pi\)
0.962415 0.271583i \(-0.0875470\pi\)
\(660\) −1.69984 + 12.9195i −0.0661664 + 0.502890i
\(661\) 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
\(663\) 12.0212 9.20630i 0.466864 0.357543i
\(664\) −1.27475 20.2247i −0.0494698 0.784870i
\(665\) 24.8292 0.283365i 0.962836 0.0109884i
\(666\) 44.6575 + 1.48553i 1.73044 + 0.0575629i
\(667\) −5.70755 + 7.85576i −0.220997 + 0.304176i
\(668\) −27.2147 4.60089i −1.05297 0.178014i
\(669\) −15.0565 42.6451i −0.582116 1.64876i
\(670\) 6.40835 1.58069i 0.247576 0.0610673i
\(671\) −0.840613 + 0.610741i −0.0324515 + 0.0235774i
\(672\) 27.5243 + 11.4251i 1.06177 + 0.440731i
\(673\) 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
\(675\) −25.3792 5.55834i −0.976847 0.213941i
\(676\) 47.8913 + 8.09646i 1.84197 + 0.311402i
\(677\) −26.2349 + 8.52425i −1.00829 + 0.327613i −0.766174 0.642634i \(-0.777842\pi\)
−0.242117 + 0.970247i \(0.577842\pi\)
\(678\) −36.8153 2.15598i −1.41388 0.0827998i
\(679\) 1.43497 + 1.97507i 0.0550690 + 0.0757960i
\(680\) −6.90969 + 5.85164i −0.264975 + 0.224400i
\(681\) 21.2779 7.51246i 0.815371 0.287878i
\(682\) 1.28765 15.3412i 0.0493067 0.587446i
\(683\) 10.0330 + 7.28938i 0.383901 + 0.278920i 0.762952 0.646456i \(-0.223749\pi\)
−0.379051 + 0.925376i \(0.623749\pi\)
\(684\) 2.55691 21.7560i 0.0977660 0.831860i
\(685\) −3.20079 + 1.08054i −0.122296 + 0.0412851i
\(686\) 19.8866 4.66516i 0.759275 0.178117i
\(687\) −11.2021 14.6273i −0.427388 0.558066i
\(688\) 9.05517 + 6.87107i 0.345225 + 0.261957i
\(689\) −56.2796 + 18.2863i −2.14408 + 0.696654i
\(690\) 22.0855 + 8.34440i 0.840782 + 0.317666i
\(691\) −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
\(696\) 10.7555 + 2.47265i 0.407686 + 0.0937257i
\(697\) 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 \(0.277255\pi\)
−0.644046 + 0.764987i \(0.722745\pi\)
\(702\) −0.359413 + 44.8696i −0.0135652 + 1.69350i
\(703\) 22.6008 + 31.1073i 0.852404 + 1.17323i
\(704\) −13.3517 + 1.68980i −0.503210 + 0.0636869i
\(705\) −23.3213 6.64317i −0.878329 0.250196i
\(706\) −29.5395 + 34.2245i −1.11173 + 1.28806i
\(707\) −30.0715 −1.13096
\(708\) −40.2998 + 6.99769i −1.51456 + 0.262989i
\(709\) 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
\(711\) −26.0992 32.3536i −0.978796 1.21336i
\(712\) 0.836577 + 0.530774i 0.0313521 + 0.0198916i
\(713\) −26.5279 8.61942i −0.993476 0.322800i
\(714\) −9.93423 3.88349i −0.371779 0.145336i
\(715\) 18.4274 13.7123i 0.689146 0.512811i
\(716\) 6.19296 11.8482i 0.231442 0.442790i
\(717\) −44.8222 + 15.8251i −1.67392 + 0.591000i
\(718\) 10.3592 + 0.869493i 0.386603 + 0.0324492i
\(719\) 29.3222 + 21.3038i 1.09353 + 0.794497i 0.979992 0.199036i \(-0.0637811\pi\)
0.113540 + 0.993533i \(0.463781\pi\)
\(720\) −1.10267 26.8101i −0.0410939 0.999155i
\(721\) −18.4009 + 13.3691i −0.685286 + 0.497889i
\(722\) −6.85934 + 4.15452i −0.255278 + 0.154615i
\(723\) 16.4311 + 4.88388i 0.611081 + 0.181634i
\(724\) −33.7464 5.70514i −1.25418 0.212030i
\(725\) 10.6301 3.72422i 0.394793 0.138314i
\(726\) −12.6893 + 15.4749i −0.470944 + 0.574326i
\(727\) 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
\(729\) −26.6909 + 4.07368i −0.988553 + 0.150877i
\(730\) 2.53719 6.23463i 0.0939057 0.230754i
\(731\) −3.29140 2.39134i −0.121737 0.0884469i
\(732\) 1.49030 1.53522i 0.0550830 0.0567434i
\(733\) 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
\(735\) 5.38002 + 6.86135i 0.198445 + 0.253085i
\(736\) −2.54417 + 24.2505i −0.0937792 + 0.893885i
\(737\) −3.33944 1.08505i −0.123010 0.0399683i
\(738\) −1.24694 + 37.4854i −0.0459007 + 1.37986i
\(739\) −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
\(741\) −30.6560 + 23.4775i −1.12617 + 0.862468i
\(742\) 31.5571 + 27.2373i 1.15850 + 0.999913i
\(743\) 8.90590 0.326726 0.163363 0.986566i \(-0.447766\pi\)
0.163363 + 0.986566i \(0.447766\pi\)
\(744\) 2.79208 + 31.5782i 0.102363 + 1.15771i
\(745\) −10.4766 14.0791i −0.383834 0.515819i
\(746\) −7.54430 + 4.56938i −0.276216 + 0.167297i
\(747\) −18.0045 11.7403i −0.658749 0.429555i
\(748\) 4.76514 0.704025i 0.174231 0.0257417i
\(749\) 3.84660i 0.140552i
\(750\) −15.5550 22.5398i −0.567988 0.823037i
\(751\) 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
\(753\) −0.132194 5.23584i −0.00481743 0.190805i
\(754\) −10.0780 16.6393i −0.367017 0.605966i
\(755\) 29.4111 + 39.5244i 1.07038 + 1.43844i
\(756\) 27.1670 16.1583i 0.988054 0.587672i
\(757\) 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
\(759\) −7.63652 9.97145i −0.277188 0.361941i
\(760\) 17.6208 14.9226i 0.639174 0.541300i
\(761\) −10.5358 + 3.42328i −0.381922 + 0.124094i −0.493685 0.869641i \(-0.664350\pi\)
0.111763 + 0.993735i \(0.464350\pi\)
\(762\) −0.209819 + 0.134435i −0.00760094 + 0.00487007i
\(763\) −35.7921 11.6296i −1.29576 0.421019i
\(764\) −2.55452 17.2900i −0.0924192 0.625532i
\(765\) 0.594072 + 9.58545i 0.0214787 + 0.346563i
\(766\) 16.2044 38.5529i 0.585489 1.39297i
\(767\) 58.3298 + 42.3791i 2.10617 + 1.53022i
\(768\) 26.4929 8.13192i 0.955979 0.293435i
\(769\) 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
\(771\) −30.3666 + 0.766695i −1.09363 + 0.0276118i
\(772\) 2.53881 1.26052i 0.0913738 0.0453670i
\(773\) −45.3461 + 14.7338i −1.63099 + 0.529940i −0.974498 0.224396i \(-0.927959\pi\)
−0.656489 + 0.754336i \(0.727959\pi\)