Properties

Label 300.2.n.a.71.20
Level $300$
Weight $2$
Character 300.71
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 71.20
Character \(\chi\) \(=\) 300.71
Dual form 300.2.n.a.131.20

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.547980 + 1.30373i) q^{2} +(-0.0437168 + 1.73150i) q^{3} +(-1.39944 - 1.42884i) q^{4} +(-1.79390 - 1.33489i) q^{5} +(-2.23346 - 1.00582i) q^{6} -3.04159i q^{7} +(2.62969 - 1.04151i) q^{8} +(-2.99618 - 0.151391i) q^{9} +O(q^{10})\) \(q+(-0.547980 + 1.30373i) q^{2} +(-0.0437168 + 1.73150i) q^{3} +(-1.39944 - 1.42884i) q^{4} +(-1.79390 - 1.33489i) q^{5} +(-2.23346 - 1.00582i) q^{6} -3.04159i q^{7} +(2.62969 - 1.04151i) q^{8} +(-2.99618 - 0.151391i) q^{9} +(2.72336 - 1.60727i) q^{10} +(-0.519850 + 1.59994i) q^{11} +(2.53521 - 2.36066i) q^{12} +(-1.88691 - 5.80732i) q^{13} +(3.96542 + 1.66673i) q^{14} +(2.38978 - 3.04778i) q^{15} +(-0.0831610 + 3.99914i) q^{16} +(-0.841506 - 1.15823i) q^{17} +(1.83922 - 3.82325i) q^{18} +(-2.14597 - 2.95368i) q^{19} +(0.603110 + 4.43128i) q^{20} +(5.26651 + 0.132969i) q^{21} +(-1.80102 - 1.55448i) 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} +(0.393117 - 5.18126i) q^{27} +(-4.34594 + 4.25651i) q^{28} +(1.32412 - 1.82249i) q^{29} +(2.66394 + 4.78575i) q^{30} +(3.80357 + 5.23517i) q^{31} +(-5.16823 - 2.29987i) q^{32} +(-2.74756 - 0.970065i) q^{33} +(1.97116 - 0.462409i) q^{34} +(-4.06018 + 5.45631i) q^{35} +(3.97664 + 4.49292i) q^{36} +(-3.25448 - 10.0162i) q^{37} +(5.02676 - 1.17922i) q^{38} +(10.1379 - 3.01331i) q^{39} +(-6.10770 - 1.64196i) q^{40} +(-8.40760 + 2.73179i) q^{41} +(-3.05930 + 6.79325i) q^{42} +2.84174i q^{43} +(3.01355 - 1.49622i) q^{44} +(5.17275 + 4.27114i) q^{45} +(-4.61472 - 3.98301i) q^{46} +(-5.06530 - 3.68016i) q^{47} +(-6.92086 - 0.318823i) q^{48} -2.25126 q^{49} +(-7.03096 - 0.752081i) q^{50} +(2.04227 - 1.40643i) q^{51} +(-5.65711 + 10.8231i) q^{52} +(5.69631 - 7.84030i) q^{53} +(6.53956 + 3.35175i) q^{54} +(3.06829 - 2.17618i) q^{55} +(-3.16786 - 7.99842i) q^{56} +(5.20811 - 3.58663i) q^{57} +(1.65045 + 2.72499i) q^{58} +(-3.64876 - 11.2297i) q^{59} +(-7.69913 + 0.850563i) q^{60} +(0.190864 - 0.587420i) q^{61} +(-8.90954 + 2.09007i) q^{62} +(-0.460470 + 9.11314i) q^{63} +(5.83050 - 5.47771i) q^{64} +(-4.36718 + 12.9366i) q^{65} +(2.77031 - 3.05051i) q^{66} +(1.22685 + 1.68861i) q^{67} +(-0.477296 + 2.82325i) q^{68} +(-7.04002 - 2.48558i) q^{69} +(-4.88867 - 8.28333i) q^{70} +(-0.331304 - 0.240707i) q^{71} +(-8.03668 + 2.72245i) 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} +(-1.62680 + 14.8683i) q^{78} +(-8.14442 + 11.2098i) q^{79} +(5.48757 - 7.06304i) q^{80} +(8.95416 + 0.907190i) q^{81} +(1.04567 - 12.4582i) q^{82} +(-5.79636 + 4.21130i) q^{83} +(-7.18015 - 7.71107i) q^{84} +(-0.0365324 + 3.20107i) q^{85} +(-3.70487 - 1.55722i) q^{86} +(3.09776 + 2.37238i) q^{87} +(0.299311 + 4.74876i) q^{88} +(-0.333139 - 0.108243i) q^{89} +(-8.40299 + 4.40339i) q^{90} +(-17.6635 + 5.73921i) q^{91} +(7.72155 - 3.83374i) q^{92} +(-9.23097 + 6.35702i) q^{93} +(7.57363 - 4.58714i) q^{94} +(-0.0931634 + 8.16324i) q^{95} +(4.20816 - 8.84824i) q^{96} +(-0.649353 - 0.471783i) q^{97} +(1.23365 - 2.93504i) 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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{3}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.547980 + 1.30373i −0.387481 + 0.921878i
\(3\) −0.0437168 + 1.73150i −0.0252399 + 0.999681i
\(4\) −1.39944 1.42884i −0.699718 0.714419i
\(5\) −1.79390 1.33489i −0.802257 0.596979i
\(6\) −2.23346 1.00582i −0.911804 0.410625i
\(7\) 3.04159i 1.14961i −0.818290 0.574806i \(-0.805077\pi\)
0.818290 0.574806i \(-0.194923\pi\)
\(8\) 2.62969 1.04151i 0.929734 0.368231i
\(9\) −2.99618 0.151391i −0.998726 0.0504637i
\(10\) 2.72336 1.60727i 0.861201 0.508265i
\(11\) −0.519850 + 1.59994i −0.156741 + 0.482399i −0.998333 0.0577147i \(-0.981619\pi\)
0.841592 + 0.540113i \(0.181619\pi\)
\(12\) 2.53521 2.36066i 0.731853 0.681463i
\(13\) −1.88691 5.80732i −0.523336 1.61066i −0.767584 0.640949i \(-0.778541\pi\)
0.244248 0.969713i \(-0.421459\pi\)
\(14\) 3.96542 + 1.66673i 1.05980 + 0.445452i
\(15\) 2.38978 3.04778i 0.617038 0.786933i
\(16\) −0.0831610 + 3.99914i −0.0207903 + 0.999784i
\(17\) −0.841506 1.15823i −0.204095 0.280913i 0.694684 0.719316i \(-0.255544\pi\)
−0.898779 + 0.438403i \(0.855544\pi\)
\(18\) 1.83922 3.82325i 0.433508 0.901150i
\(19\) −2.14597 2.95368i −0.492320 0.677621i 0.488494 0.872568i \(-0.337547\pi\)
−0.980814 + 0.194947i \(0.937547\pi\)
\(20\) 0.603110 + 4.43128i 0.134860 + 0.990865i
\(21\) 5.26651 + 0.132969i 1.14925 + 0.0290161i
\(22\) −1.80102 1.55448i −0.383979 0.331416i
\(23\) −1.33200 + 4.09948i −0.277742 + 0.854801i 0.710739 + 0.703456i \(0.248361\pi\)
−0.988481 + 0.151346i \(0.951639\pi\)
\(24\) 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
\(27\) 0.393117 5.18126i 0.0756554 0.997134i
\(28\) −4.34594 + 4.25651i −0.821306 + 0.804404i
\(29\) 1.32412 1.82249i 0.245883 0.338428i −0.668181 0.743998i \(-0.732927\pi\)
0.914064 + 0.405570i \(0.132927\pi\)
\(30\) 2.66394 + 4.78575i 0.486366 + 0.873755i
\(31\) 3.80357 + 5.23517i 0.683142 + 0.940264i 0.999966 0.00822000i \(-0.00261654\pi\)
−0.316824 + 0.948484i \(0.602617\pi\)
\(32\) −5.16823 2.29987i −0.913623 0.406563i
\(33\) −2.74756 0.970065i −0.478289 0.168867i
\(34\) 1.97116 0.462409i 0.338050 0.0793026i
\(35\) −4.06018 + 5.45631i −0.686295 + 0.922284i
\(36\) 3.97664 + 4.49292i 0.662774 + 0.748820i
\(37\) −3.25448 10.0162i −0.535033 1.64666i −0.743579 0.668648i \(-0.766873\pi\)
0.208546 0.978012i \(-0.433127\pi\)
\(38\) 5.02676 1.17922i 0.815448 0.191294i
\(39\) 10.1379 3.01331i 1.62336 0.482516i
\(40\) −6.10770 1.64196i −0.965712 0.259617i
\(41\) −8.40760 + 2.73179i −1.31305 + 0.426635i −0.880101 0.474786i \(-0.842526\pi\)
−0.432945 + 0.901420i \(0.642526\pi\)
\(42\) −3.05930 + 6.79325i −0.472060 + 1.04822i
\(43\) 2.84174i 0.433361i 0.976243 + 0.216681i \(0.0695230\pi\)
−0.976243 + 0.216681i \(0.930477\pi\)
\(44\) 3.01355 1.49622i 0.454309 0.225564i
\(45\) 5.17275 + 4.27114i 0.771109 + 0.636704i
\(46\) −4.61472 3.98301i −0.680403 0.587263i
\(47\) −5.06530 3.68016i −0.738850 0.536806i 0.153501 0.988149i \(-0.450945\pi\)
−0.892351 + 0.451342i \(0.850945\pi\)
\(48\) −6.92086 0.318823i −0.998941 0.0460181i
\(49\) −2.25126 −0.321609
\(50\) −7.03096 0.752081i −0.994328 0.106360i
\(51\) 2.04227 1.40643i 0.285975 0.196940i
\(52\) −5.65711 + 10.8231i −0.784501 + 1.50089i
\(53\) 5.69631 7.84030i 0.782448 1.07695i −0.212559 0.977148i \(-0.568180\pi\)
0.995008 0.0997996i \(-0.0318202\pi\)
\(54\) 6.53956 + 3.35175i 0.889921 + 0.456115i
\(55\) 3.06829 2.17618i 0.413728 0.293436i
\(56\) −3.16786 7.99842i −0.423323 1.06883i
\(57\) 5.20811 3.58663i 0.689831 0.475060i
\(58\) 1.65045 + 2.72499i 0.216715 + 0.357808i
\(59\) −3.64876 11.2297i −0.475028 1.46199i −0.845920 0.533311i \(-0.820948\pi\)
0.370891 0.928676i \(-0.379052\pi\)
\(60\) −7.69913 + 0.850563i −0.993953 + 0.109807i
\(61\) 0.190864 0.587420i 0.0244377 0.0752114i −0.938094 0.346381i \(-0.887410\pi\)
0.962532 + 0.271170i \(0.0874104\pi\)
\(62\) −8.90954 + 2.09007i −1.13151 + 0.265439i
\(63\) −0.460470 + 9.11314i −0.0580137 + 1.14815i
\(64\) 5.83050 5.47771i 0.728812 0.684714i
\(65\) −4.36718 + 12.9366i −0.541682 + 1.60458i
\(66\) 2.77031 3.05051i 0.341002 0.375491i
\(67\) 1.22685 + 1.68861i 0.149883 + 0.206296i 0.877356 0.479840i \(-0.159305\pi\)
−0.727473 + 0.686136i \(0.759305\pi\)
\(68\) −0.477296 + 2.82325i −0.0578806 + 0.342369i
\(69\) −7.04002 2.48558i −0.847519 0.299228i
\(70\) −4.88867 8.28333i −0.584308 0.990047i
\(71\) −0.331304 0.240707i −0.0393186 0.0285666i 0.567952 0.823061i \(-0.307736\pi\)
−0.607271 + 0.794495i \(0.707736\pi\)
\(72\) −8.03668 + 2.72245i −0.947132 + 0.320844i
\(73\) 0.657763 2.02439i 0.0769853 0.236936i −0.905157 0.425078i \(-0.860247\pi\)
0.982142 + 0.188142i \(0.0602465\pi\)
\(74\) 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
\(78\) −1.62680 + 14.8683i −0.184199 + 1.68350i
\(79\) −8.14442 + 11.2098i −0.916318 + 1.26120i 0.0486441 + 0.998816i \(0.484510\pi\)
−0.964962 + 0.262388i \(0.915490\pi\)
\(80\) 5.48757 7.06304i 0.613529 0.789672i
\(81\) 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 \(-0.828637\pi\)
0.222321 + 0.974974i \(0.428637\pi\)
\(84\) −7.18015 7.71107i −0.783418 0.841347i
\(85\) −0.0365324 + 3.20107i −0.00396249 + 0.347205i
\(86\) −3.70487 1.55722i −0.399506 0.167919i
\(87\) 3.09776 + 2.37238i 0.332114 + 0.254346i
\(88\) 0.299311 + 4.74876i 0.0319066 + 0.506219i
\(89\) −0.333139 0.108243i −0.0353126 0.0114738i 0.291307 0.956629i \(-0.405910\pi\)
−0.326620 + 0.945156i \(0.605910\pi\)
\(90\) −8.40299 + 4.40339i −0.885753 + 0.464158i
\(91\) −17.6635 + 5.73921i −1.85164 + 0.601633i
\(92\) 7.72155 3.83374i 0.805027 0.399695i
\(93\) −9.23097 + 6.35702i −0.957207 + 0.659192i
\(94\) 7.57363 4.58714i 0.781160 0.473128i
\(95\) −0.0931634 + 8.16324i −0.00955836 + 0.837531i
\(96\) 4.20816 8.84824i 0.429493 0.903070i
\(97\) −0.649353 0.471783i −0.0659318 0.0479023i 0.554331 0.832296i \(-0.312974\pi\)
−0.620263 + 0.784394i \(0.712974\pi\)
\(98\) 1.23365 2.93504i 0.124617 0.296484i
\(99\) 1.79978 4.71499i 0.180885 0.473874i
\(100\) 4.83334 8.75436i 0.483334 0.875436i
\(101\) 9.88678i 0.983771i 0.870660 + 0.491886i \(0.163692\pi\)
−0.870660 + 0.491886i \(0.836308\pi\)
\(102\) 0.714489 + 3.43327i 0.0707449 + 0.339944i
\(103\) 4.39542 6.04977i 0.433093 0.596102i −0.535566 0.844493i \(-0.679902\pi\)
0.968660 + 0.248391i \(0.0799019\pi\)
\(104\) −11.0104 13.3062i −1.07966 1.30478i
\(105\) −9.27009 7.26872i −0.904668 0.709355i
\(106\) 7.10018 + 11.7228i 0.689631 + 1.13862i
\(107\) 1.26467 0.122260 0.0611301 0.998130i \(-0.480530\pi\)
0.0611301 + 0.998130i \(0.480530\pi\)
\(108\) −7.95333 + 6.68914i −0.765309 + 0.643663i
\(109\) 3.82352 + 11.7676i 0.366227 + 1.12713i 0.949209 + 0.314645i \(0.101886\pi\)
−0.582983 + 0.812485i \(0.698114\pi\)
\(110\) 1.15580 + 5.19274i 0.110201 + 0.495108i
\(111\) 17.4854 5.19724i 1.65964 0.493300i
\(112\) 12.1637 + 0.252942i 1.14936 + 0.0239007i
\(113\) 14.3187 4.65242i 1.34699 0.437662i 0.455309 0.890334i \(-0.349529\pi\)
0.891678 + 0.452671i \(0.149529\pi\)
\(114\) 1.82206 + 8.75538i 0.170652 + 0.820017i
\(115\) 7.86182 5.57599i 0.733119 0.519964i
\(116\) −4.45707 + 0.658509i −0.413828 + 0.0611410i
\(117\) 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
\(120\) 3.11006 10.5037i 0.283909 0.958851i
\(121\) 6.60964 + 4.80218i 0.600876 + 0.436562i
\(122\) 0.661248 + 0.570730i 0.0598666 + 0.0516715i
\(123\) −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
\(126\) −11.6288 5.59415i −1.03597 0.498366i
\(127\) −0.0967531 0.0314370i −0.00858545 0.00278958i 0.304721 0.952442i \(-0.401437\pi\)
−0.313307 + 0.949652i \(0.601437\pi\)
\(128\) 3.94647 + 10.6031i 0.348822 + 0.937189i
\(129\) −4.92047 0.124232i −0.433223 0.0109380i
\(130\) −14.4727 12.7826i −1.26934 1.12111i
\(131\) 2.63804 1.91665i 0.230486 0.167458i −0.466548 0.884496i \(-0.654502\pi\)
0.697034 + 0.717038i \(0.254502\pi\)
\(132\) 2.45897 + 5.28336i 0.214026 + 0.459858i
\(133\) −8.98388 + 6.52717i −0.779001 + 0.565978i
\(134\) −2.87378 + 0.674154i −0.248257 + 0.0582381i
\(135\) −7.62161 + 8.76990i −0.655963 + 0.754793i
\(136\) −3.41921 2.16935i −0.293195 0.186020i
\(137\) 1.43686 0.466863i 0.122759 0.0398868i −0.246993 0.969017i \(-0.579443\pi\)
0.369752 + 0.929130i \(0.379443\pi\)
\(138\) 7.09832 7.81625i 0.604249 0.665364i
\(139\) 8.29339 + 2.69469i 0.703436 + 0.228560i 0.638827 0.769350i \(-0.279420\pi\)
0.0646093 + 0.997911i \(0.479420\pi\)
\(140\) 13.4781 1.83441i 1.13911 0.155036i
\(141\) 6.59363 8.60968i 0.555284 0.725066i
\(142\) 0.495365 0.300030i 0.0415701 0.0251779i
\(143\) 10.2723 0.859009
\(144\) 0.854599 11.9695i 0.0712166 0.997461i
\(145\) −4.80816 + 1.50182i −0.399296 + 0.124720i
\(146\) 2.27882 + 1.96687i 0.188596 + 0.162779i
\(147\) 0.0984180 3.89806i 0.00811738 0.321506i
\(148\) −9.75717 + 18.6672i −0.802035 + 1.53444i
\(149\) 7.84832i 0.642960i −0.946916 0.321480i \(-0.895820\pi\)
0.946916 0.321480i \(-0.104180\pi\)
\(150\) 1.60960 12.1412i 0.131423 0.991326i
\(151\) 22.0326i 1.79299i −0.443052 0.896496i \(-0.646104\pi\)
0.443052 0.896496i \(-0.353896\pi\)
\(152\) −8.71954 5.53219i −0.707248 0.448720i
\(153\) 2.34596 + 3.59767i 0.189659 + 0.290854i
\(154\) −4.72808 + 5.47796i −0.381000 + 0.441427i
\(155\) 0.165125 14.4687i 0.0132632 1.16215i
\(156\) −18.4928 10.2684i −1.48061 0.822133i
\(157\) 5.67807 0.453159 0.226580 0.973993i \(-0.427246\pi\)
0.226580 + 0.973993i \(0.427246\pi\)
\(158\) −10.1516 16.7609i −0.807621 1.33343i
\(159\) 13.3264 + 10.2059i 1.05686 + 0.809381i
\(160\) 6.20123 + 11.0247i 0.490250 + 0.871582i
\(161\) 12.4689 + 4.05140i 0.982690 + 0.319295i
\(162\) −6.08944 + 11.1767i −0.478431 + 0.878125i
\(163\) −4.48576 + 1.45751i −0.351352 + 0.114161i −0.479375 0.877610i \(-0.659137\pi\)
0.128023 + 0.991771i \(0.459137\pi\)
\(164\) 15.6692 + 8.19013i 1.22356 + 0.639542i
\(165\) 3.63392 + 5.40788i 0.282901 + 0.421003i
\(166\) −2.31412 9.86461i −0.179610 0.765642i
\(167\) −11.1648 + 8.11168i −0.863956 + 0.627701i −0.928958 0.370184i \(-0.879295\pi\)
0.0650023 + 0.997885i \(0.479295\pi\)
\(168\) 13.9878 5.13547i 1.07918 0.396210i
\(169\) −19.6473 + 14.2746i −1.51133 + 1.09805i
\(170\) −4.15332 1.80175i −0.318545 0.138188i
\(171\) 5.98256 + 9.17463i 0.457498 + 0.701602i
\(172\) 4.06039 3.97683i 0.309602 0.303231i
\(173\) −13.1064 4.25851i −0.996458 0.323769i −0.235008 0.971993i \(-0.575512\pi\)
−0.761449 + 0.648225i \(0.775512\pi\)
\(174\) −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
\(177\) 19.6038 5.82690i 1.47351 0.437977i
\(178\) 0.323674 0.375008i 0.0242604 0.0281081i
\(179\) 5.40793 + 3.92909i 0.404207 + 0.293674i 0.771253 0.636529i \(-0.219631\pi\)
−0.367045 + 0.930203i \(0.619631\pi\)
\(180\) −1.13617 13.3682i −0.0846850 0.996408i
\(181\) 13.8444 10.0586i 1.02905 0.747647i 0.0609294 0.998142i \(-0.480594\pi\)
0.968118 + 0.250496i \(0.0805936\pi\)
\(182\) 2.19684 26.1734i 0.162841 1.94010i
\(183\) 1.00877 + 0.356161i 0.0745706 + 0.0263282i
\(184\) 0.766918 + 12.1677i 0.0565379 + 0.897011i
\(185\) −7.53235 + 22.3125i −0.553789 + 1.64045i
\(186\) −3.22946 15.5182i −0.236796 1.13785i
\(187\) 2.29056 0.744247i 0.167502 0.0544247i
\(188\) 1.83021 + 12.3876i 0.133482 + 0.903462i
\(189\) −15.7593 1.19570i −1.14632 0.0869744i
\(190\) −10.5916 4.59475i −0.768397 0.333338i
\(191\) 2.70046 + 8.31116i 0.195398 + 0.601374i 0.999972 + 0.00752103i \(0.00239404\pi\)
−0.804573 + 0.593853i \(0.797606\pi\)
\(192\) 9.22976 + 10.3350i 0.666100 + 0.745862i
\(193\) −1.41726 −0.102016 −0.0510082 0.998698i \(-0.516243\pi\)
−0.0510082 + 0.998698i \(0.516243\pi\)
\(194\) 0.970911 0.588055i 0.0697073 0.0422199i
\(195\) −22.2087 8.12732i −1.59040 0.582009i
\(196\) 3.15050 + 3.21669i 0.225035 + 0.229764i
\(197\) −2.75253 + 3.78854i −0.196110 + 0.269922i −0.895735 0.444588i \(-0.853350\pi\)
0.699625 + 0.714510i \(0.253350\pi\)
\(198\) 5.16084 + 4.93015i 0.366765 + 0.350371i
\(199\) 18.1468i 1.28639i −0.765702 0.643196i \(-0.777608\pi\)
0.765702 0.643196i \(-0.222392\pi\)
\(200\) 8.76477 + 11.0986i 0.619763 + 0.784789i
\(201\) −2.97746 + 2.05046i −0.210014 + 0.144628i
\(202\) −12.8897 5.41776i −0.906917 0.381192i
\(203\) −5.54327 4.02742i −0.389061 0.282670i
\(204\) −4.86759 0.949861i −0.340799 0.0665036i
\(205\) 18.7290 + 6.32262i 1.30809 + 0.441591i
\(206\) 5.47868 + 9.04560i 0.381718 + 0.630237i
\(207\) 4.61154 12.0811i 0.320524 0.839696i
\(208\) 23.3812 7.06308i 1.62119 0.489736i
\(209\) 5.84128 1.89795i 0.404050 0.131284i
\(210\) 14.5563 8.10260i 1.00448 0.559133i
\(211\) −0.474177 0.154069i −0.0326437 0.0106066i 0.292650 0.956220i \(-0.405463\pi\)
−0.325293 + 0.945613i \(0.605463\pi\)
\(212\) −19.1741 + 2.83288i −1.31689 + 0.194563i
\(213\) 0.431267 0.563130i 0.0295499 0.0385850i
\(214\) −0.693014 + 1.64879i −0.0473734 + 0.112709i
\(215\) 3.79340 5.09780i 0.258708 0.347667i
\(216\) −4.36258 14.0345i −0.296836 0.954929i
\(217\) 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
\(220\) −7.40329 1.33867i −0.499130 0.0902529i
\(221\) −5.13839 + 7.07238i −0.345645 + 0.475740i
\(222\) −2.80584 + 25.6443i −0.188315 + 1.72113i
\(223\) 24.8327 + 8.06864i 1.66292 + 0.540316i 0.981482 0.191557i \(-0.0613536\pi\)
0.681441 + 0.731873i \(0.261354\pi\)
\(224\) −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 −0.723970 0.689831i \(-0.757685\pi\)
0.991177 0.132546i \(-0.0423152\pi\)
\(228\) −12.4131 2.42230i −0.822079 0.160421i
\(229\) −8.60561 6.25234i −0.568675 0.413167i 0.265949 0.963987i \(-0.414315\pi\)
−0.834624 + 0.550821i \(0.814315\pi\)
\(230\) 2.96148 + 13.3052i 0.195274 + 0.877322i
\(231\) −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 0.800577 0.599230i \(-0.204527\pi\)
−0.817294 + 0.576222i \(0.804527\pi\)
\(234\) −25.6733 3.46679i −1.67832 0.226631i
\(235\) 4.17406 + 13.3634i 0.272285 + 0.871735i
\(236\) −10.9393 + 20.9288i −0.712086 + 1.36235i
\(237\) −19.0538 14.5921i −1.23767 0.947859i
\(238\) −1.40646 5.99544i −0.0911672 0.388627i
\(239\) −8.48056 + 26.1005i −0.548562 + 1.68830i 0.163805 + 0.986493i \(0.447623\pi\)
−0.712367 + 0.701807i \(0.752377\pi\)
\(240\) 11.9897 + 9.81050i 0.773935 + 0.633265i
\(241\) 3.05825 + 9.41233i 0.196999 + 0.606301i 0.999947 + 0.0102526i \(0.00326355\pi\)
−0.802948 + 0.596049i \(0.796736\pi\)
\(242\) −9.88271 + 5.98570i −0.635285 + 0.384775i
\(243\) −1.96225 + 15.4645i −0.125878 + 0.992046i
\(244\) −1.10643 + 0.549342i −0.0708320 + 0.0351680i
\(245\) 4.03854 + 3.00518i 0.258013 + 0.191994i
\(246\) 21.5257 + 2.35521i 1.37243 + 0.150163i
\(247\) −13.1037 + 18.0357i −0.833769 + 1.14758i
\(248\) 15.4547 + 9.80538i 0.981375 + 0.622642i
\(249\) −7.03847 10.2205i −0.446045 0.647697i
\(250\) 11.6089 + 10.7347i 0.734211 + 0.678921i
\(251\) 3.02388 0.190865 0.0954327 0.995436i \(-0.469577\pi\)
0.0954327 + 0.995436i \(0.469577\pi\)
\(252\) 13.6656 12.0953i 0.860852 0.761933i
\(253\) −5.86646 4.26224i −0.368821 0.267964i
\(254\) 0.0940042 0.108913i 0.00589835 0.00683383i
\(255\) −5.54105 0.203196i −0.346994 0.0127247i
\(256\) −15.9862 0.665145i −0.999136 0.0415715i
\(257\) 17.5378i 1.09398i −0.837141 0.546988i \(-0.815774\pi\)
0.837141 0.546988i \(-0.184226\pi\)
\(258\) 2.85828 6.34690i 0.177949 0.395141i
\(259\) −30.4653 + 9.89878i −1.89302 + 0.615080i
\(260\) 24.5959 11.8639i 1.52537 0.735768i
\(261\) −4.24320 + 5.26005i −0.262648 + 0.325589i
\(262\) 1.05320 + 4.48958i 0.0650670 + 0.277367i
\(263\) −7.97131 24.5332i −0.491532 1.51278i −0.822293 0.569065i \(-0.807305\pi\)
0.330761 0.943715i \(-0.392695\pi\)
\(264\) −8.23556 + 0.310656i −0.506863 + 0.0191195i
\(265\) −20.6845 + 6.46079i −1.27064 + 0.396883i
\(266\) −3.58669 15.2893i −0.219914 0.937449i
\(267\) 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 0.950217 0.311590i \(-0.100862\pi\)
−0.589973 + 0.807423i \(0.700862\pi\)
\(270\) −7.25711 14.7423i −0.441654 0.897186i
\(271\) 4.88812 6.72793i 0.296932 0.408692i −0.634318 0.773072i \(-0.718719\pi\)
0.931250 + 0.364380i \(0.118719\pi\)
\(272\) 4.70191 3.26898i 0.285095 0.198211i
\(273\) −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
\(276\) 6.30056 + 13.5375i 0.379249 + 0.814859i
\(277\) −1.97706 + 6.08476i −0.118790 + 0.365598i −0.992719 0.120456i \(-0.961564\pi\)
0.873929 + 0.486054i \(0.161564\pi\)
\(278\) −8.05777 + 9.33573i −0.483273 + 0.559920i
\(279\) −10.6036 16.2613i −0.634822 0.973540i
\(280\) −4.99417 + 18.5771i −0.298459 + 1.11019i
\(281\) −14.0046 19.2756i −0.835441 1.14989i −0.986886 0.161421i \(-0.948392\pi\)
0.151444 0.988466i \(-0.451608\pi\)
\(282\) 7.61154 + 13.3143i 0.453261 + 0.792853i
\(283\) −14.4234 19.8522i −0.857385 1.18009i −0.982187 0.187907i \(-0.939830\pi\)
0.124802 0.992182i \(-0.460170\pi\)
\(284\) 0.119708 + 0.810234i 0.00710336 + 0.0480785i
\(285\) −14.1306 0.518183i −0.837023 0.0306945i
\(286\) −5.62899 + 13.3923i −0.332849 + 0.791901i
\(287\) 8.30900 + 25.5725i 0.490464 + 1.50949i
\(288\) 15.1368 + 7.67323i 0.891942 + 0.452150i
\(289\) 4.61992 14.2186i 0.271760 0.836391i
\(290\) 0.676800 7.09152i 0.0397431 0.416428i
\(291\) 0.845279 1.10373i 0.0495511 0.0647018i
\(292\) −3.81302 + 1.89316i −0.223140 + 0.110789i
\(293\) 4.61787i 0.269779i −0.990861 0.134890i \(-0.956932\pi\)
0.990861 0.134890i \(-0.0430680\pi\)
\(294\) 5.02809 + 2.26437i 0.293244 + 0.132061i
\(295\) −8.44490 + 25.0157i −0.491681 + 1.45647i
\(296\) −18.9903 22.9500i −1.10379 1.33394i
\(297\) 8.08532 + 3.32244i 0.469158 + 0.192788i
\(298\) 10.2321 + 4.30072i 0.592730 + 0.249134i
\(299\) 26.3204 1.52215
\(300\) 14.9469 + 8.75163i 0.862958 + 0.505276i
\(301\) 8.64340 0.498197
\(302\) 28.7247 + 12.0735i 1.65292 + 0.694749i
\(303\) −17.1189 0.432218i −0.983458 0.0248303i
\(304\) 11.9906 8.33641i 0.687710 0.478126i
\(305\) −1.12653 + 0.798991i −0.0645049 + 0.0457501i
\(306\) −5.97594 + 1.08705i −0.341622 + 0.0621422i
\(307\) 13.8516i 0.790553i 0.918562 + 0.395277i \(0.129351\pi\)
−0.918562 + 0.395277i \(0.870649\pi\)
\(308\) −4.55090 9.16597i −0.259311 0.522280i
\(309\) 10.2830 + 7.87514i 0.584981 + 0.448001i
\(310\) 18.7728 + 8.14385i 1.06623 + 0.462539i
\(311\) 0.348878 1.07373i 0.0197830 0.0608859i −0.940678 0.339302i \(-0.889809\pi\)
0.960461 + 0.278416i \(0.0898093\pi\)
\(312\) 23.5210 18.4828i 1.33161 1.04638i
\(313\) −1.96099 6.03530i −0.110842 0.341135i 0.880215 0.474574i \(-0.157398\pi\)
−0.991057 + 0.133439i \(0.957398\pi\)
\(314\) −3.11147 + 7.40268i −0.175590 + 0.417758i
\(315\) 12.9910 15.7334i 0.731962 0.886476i
\(316\) 27.4146 4.05037i 1.54219 0.227851i
\(317\) −9.65590 13.2902i −0.542330 0.746453i 0.446617 0.894725i \(-0.352629\pi\)
−0.988947 + 0.148273i \(0.952629\pi\)
\(318\) −20.6084 + 11.7815i −1.15566 + 0.660673i
\(319\) 2.22753 + 3.06593i 0.124718 + 0.171659i
\(320\) −17.7715 + 2.04341i −0.993454 + 0.114230i
\(321\) −0.0552873 + 2.18977i −0.00308584 + 0.122221i
\(322\) −12.1147 + 14.0361i −0.675125 + 0.782200i
\(323\) −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
\(327\) −20.5427 + 6.10598i −1.13601 + 0.337661i
\(328\) −19.2641 + 15.9404i −1.06368 + 0.880161i
\(329\) −11.1935 + 15.4066i −0.617119 + 0.849392i
\(330\) −9.04175 + 1.77425i −0.497732 + 0.0976693i
\(331\) −12.6376 17.3941i −0.694624 0.956068i −0.999993 0.00383388i \(-0.998780\pi\)
0.305368 0.952234i \(-0.401220\pi\)
\(332\) 14.1289 + 2.38862i 0.775424 + 0.131092i
\(333\) 8.23462 + 30.5032i 0.451254 + 1.67156i
\(334\) −4.45739 19.0009i −0.243897 1.03968i
\(335\) 0.0532612 4.66689i 0.00290997 0.254980i
\(336\) −0.969728 + 21.0504i −0.0529030 + 1.14839i
\(337\) 8.85165 + 27.2426i 0.482180 + 1.48400i 0.836024 + 0.548693i \(0.184875\pi\)
−0.353843 + 0.935305i \(0.615125\pi\)
\(338\) −7.84394 33.4371i −0.426654 1.81874i
\(339\) 7.42969 + 24.9961i 0.403525 + 1.35760i
\(340\) 4.62494 4.42749i 0.250823 0.240115i
\(341\) −10.3532 + 3.36397i −0.560658 + 0.182169i
\(342\) −15.2396 + 2.77214i −0.824063 + 0.149900i
\(343\) 14.4437i 0.779887i
\(344\) 2.95971 + 7.47288i 0.159577 + 0.402911i
\(345\) 9.31113 + 13.8565i 0.501294 + 0.746009i
\(346\) 12.7340 14.7536i 0.684583 0.793158i
\(347\) 2.02863 + 1.47389i 0.108903 + 0.0791223i 0.640904 0.767621i \(-0.278560\pi\)
−0.532001 + 0.846744i \(0.678560\pi\)
\(348\) −0.945359 7.74619i −0.0506765 0.415240i
\(349\) 19.2761 1.03182 0.515912 0.856641i \(-0.327453\pi\)
0.515912 + 0.856641i \(0.327453\pi\)
\(350\) −2.28752 + 21.3853i −0.122273 + 1.14309i
\(351\) −30.8310 + 7.49363i −1.64564 + 0.399981i
\(352\) 6.36635 7.07325i 0.339327 0.377005i
\(353\) 18.7903 25.8626i 1.00011 1.37653i 0.0748460 0.997195i \(-0.476153\pi\)
0.925260 0.379333i \(-0.123847\pi\)
\(354\) −3.14577 + 28.7511i −0.167196 + 1.52810i
\(355\) 0.273011 + 0.874057i 0.0144899 + 0.0463901i
\(356\) 0.311544 + 0.627481i 0.0165118 + 0.0332564i
\(357\) −4.27779 6.21174i −0.226405 0.328760i
\(358\) −8.08591 + 4.89742i −0.427354 + 0.258837i
\(359\) −2.27154 6.99107i −0.119887 0.368975i 0.873048 0.487635i \(-0.162140\pi\)
−0.992935 + 0.118660i \(0.962140\pi\)
\(360\) 18.0512 + 5.84426i 0.951380 + 0.308019i
\(361\) 1.75230 5.39303i 0.0922264 0.283844i
\(362\) 5.52720 + 23.5613i 0.290503 + 1.23835i
\(363\) −8.60393 + 11.2346i −0.451589 + 0.589666i
\(364\) 32.9193 + 17.2066i 1.72544 + 0.901872i
\(365\) −3.88229 + 2.75351i −0.203208 + 0.144125i
\(366\) −1.01713 + 1.12000i −0.0531661 + 0.0585434i
\(367\) 18.7370 + 25.7893i 0.978063 + 1.34619i 0.937867 + 0.346996i \(0.112798\pi\)
0.0401962 + 0.999192i \(0.487202\pi\)
\(368\) −16.2836 5.66778i −0.848842 0.295453i
\(369\) 25.6042 6.91210i 1.33290 0.359830i
\(370\) −24.9620 22.0470i −1.29771 1.14617i
\(371\) −23.8470 17.3258i −1.23807 0.899512i
\(372\) 22.0013 + 4.29333i 1.14071 + 0.222599i
\(373\) 1.92728 5.93156i 0.0997908 0.307125i −0.888682 0.458525i \(-0.848378\pi\)
0.988473 + 0.151400i \(0.0483781\pi\)
\(374\) −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
\(378\) 10.1946 19.8906i 0.524356 1.02306i
\(379\) −12.0452 + 16.5789i −0.618723 + 0.851599i −0.997259 0.0739876i \(-0.976427\pi\)
0.378536 + 0.925586i \(0.376427\pi\)
\(380\) 11.7943 11.2908i 0.605036 0.579206i
\(381\) 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 \(-0.427390\pi\)
0.996300 + 0.0859420i \(0.0273900\pi\)
\(384\) −18.5318 + 6.36977i −0.945695 + 0.325056i
\(385\) −6.61905 9.33248i −0.337338 0.475627i
\(386\) 0.776628 1.84772i 0.0395293 0.0940466i
\(387\) 0.430214 8.51436i 0.0218690 0.432809i
\(388\) 0.234626 + 1.58805i 0.0119113 + 0.0806210i
\(389\) 6.59111 + 2.14158i 0.334182 + 0.108582i 0.471302 0.881972i \(-0.343784\pi\)
−0.137119 + 0.990555i \(0.543784\pi\)
\(390\) 22.7658 24.5006i 1.15279 1.24064i
\(391\) 5.86905 1.90697i 0.296810 0.0964396i
\(392\) −5.92011 + 2.34472i −0.299011 + 0.118426i
\(393\) 3.20335 + 4.65155i 0.161587 + 0.234640i
\(394\) −3.43091 5.66461i −0.172847 0.285379i
\(395\) 29.5741 9.23744i 1.48804 0.464786i
\(396\) −9.25564 + 4.02673i −0.465113 + 0.202351i
\(397\) −23.5736 17.1272i −1.18312 0.859591i −0.190604 0.981667i \(-0.561045\pi\)
−0.992521 + 0.122076i \(0.961045\pi\)
\(398\) 23.6585 + 9.94408i 1.18590 + 0.498452i
\(399\) −10.9090 15.8409i −0.546135 0.793038i
\(400\) −19.2725 + 5.34510i −0.963626 + 0.267255i
\(401\) 12.6018i 0.629305i 0.949207 + 0.314653i \(0.101888\pi\)
−0.949207 + 0.314653i \(0.898112\pi\)
\(402\) −1.04167 5.00542i −0.0519535 0.249648i
\(403\) 23.2253 31.9669i 1.15693 1.59238i
\(404\) 14.1266 13.8359i 0.702825 0.688362i
\(405\) −14.8519 13.5802i −0.737996 0.674805i
\(406\) 8.28829 5.01999i 0.411341 0.249138i
\(407\) 17.7172 0.878208
\(408\) 3.90571 5.82553i 0.193361 0.288407i
\(409\) −2.71165 8.34559i −0.134082 0.412663i 0.861364 0.507988i \(-0.169611\pi\)
−0.995446 + 0.0953257i \(0.969611\pi\)
\(410\) −18.5061 + 20.9530i −0.913953 + 1.03479i
\(411\) 0.745558 + 2.50833i 0.0367757 + 0.123727i
\(412\) −14.7953 + 2.18592i −0.728910 + 0.107693i
\(413\) −34.1562 + 11.0980i −1.68072 + 0.546099i
\(414\) 13.2235 + 12.6324i 0.649900 + 0.620850i
\(415\) 16.0197 + 0.182826i 0.786376 + 0.00897456i
\(416\) −3.60406 + 34.3532i −0.176704 + 1.68431i
\(417\) −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 \(-0.618933\pi\)
0.772645 + 0.634838i \(0.218933\pi\)
\(420\) 2.58706 + 23.4176i 0.126236 + 1.14266i
\(421\) −22.5238 16.3645i −1.09774 0.797558i −0.117054 0.993126i \(-0.537345\pi\)
−0.980690 + 0.195568i \(0.937345\pi\)
\(422\) 0.460704 0.533772i 0.0224267 0.0259836i
\(423\) 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
\(426\) 0.497845 + 0.870841i 0.0241207 + 0.0421924i
\(427\) −1.78669 0.580531i −0.0864640 0.0280938i
\(428\) −1.76982 1.80701i −0.0855476 0.0873451i
\(429\) −0.449070 + 17.7864i −0.0216813 + 0.858735i
\(430\) 4.56746 + 7.73907i 0.220262 + 0.373211i
\(431\) 16.0970 11.6952i 0.775365 0.563336i −0.128219 0.991746i \(-0.540926\pi\)
0.903584 + 0.428410i \(0.140926\pi\)
\(432\) 20.6879 + 2.00301i 0.995346 + 0.0963697i
\(433\) −5.60652 + 4.07337i −0.269432 + 0.195754i −0.714295 0.699845i \(-0.753252\pi\)
0.444863 + 0.895599i \(0.353252\pi\)
\(434\) 6.35714 + 27.0992i 0.305152 + 1.30080i
\(435\) −2.39021 8.39097i −0.114602 0.402316i
\(436\) 11.4632 21.9312i 0.548988 1.05031i
\(437\) 14.9670 4.86307i 0.715969 0.232632i
\(438\) −3.50526 + 3.85978i −0.167488 + 0.184428i
\(439\) −17.0128 5.52780i −0.811977 0.263827i −0.126542 0.991961i \(-0.540388\pi\)
−0.685435 + 0.728134i \(0.740388\pi\)
\(440\) 5.80212 8.91835i 0.276605 0.425165i
\(441\) 6.74518 + 0.340821i 0.321199 + 0.0162296i
\(442\) −6.40476 10.5746i −0.304643 0.502983i
\(443\) −25.0923 −1.19217 −0.596086 0.802920i \(-0.703278\pi\)
−0.596086 + 0.802920i \(0.703278\pi\)
\(444\) −31.8957 17.7106i −1.51370 0.840508i
\(445\) 0.453125 + 0.638880i 0.0214802 + 0.0302858i
\(446\) −24.1272 + 27.9538i −1.14246 + 1.32365i
\(447\) 13.5894 + 0.343104i 0.642755 + 0.0162282i
\(448\) −16.6609 17.7340i −0.787155 0.837852i
\(449\) 19.5542i 0.922821i −0.887187 0.461410i \(-0.847344\pi\)
0.887187 0.461410i \(-0.152656\pi\)
\(450\) 20.9521 + 3.31779i 0.987693 + 0.156402i
\(451\) 14.8717i 0.700283i
\(452\) −26.6856 13.9483i −1.25518 0.656073i
\(453\) 38.1495 + 0.963197i 1.79242 + 0.0452549i
\(454\) 13.9476 + 12.0383i 0.654594 + 0.564987i
\(455\) 39.3477 + 13.2832i 1.84465 + 0.622725i
\(456\) 9.96017 14.8560i 0.466428 0.695697i
\(457\) −15.4555 −0.722977 −0.361489 0.932377i \(-0.617731\pi\)
−0.361489 + 0.932377i \(0.617731\pi\)
\(458\) 12.8671 7.79326i 0.601240 0.364155i
\(459\) −6.33192 + 3.90474i −0.295549 + 0.182258i
\(460\) −18.9693 3.43004i −0.884448 0.159926i
\(461\) −11.5831 3.76359i −0.539481 0.175288i 0.0265872 0.999646i \(-0.491536\pi\)
−0.566068 + 0.824359i \(0.691536\pi\)
\(462\) −9.27839 8.42615i −0.431670 0.392020i
\(463\) 5.50572 1.78892i 0.255872 0.0831380i −0.178272 0.983981i \(-0.557051\pi\)
0.434145 + 0.900843i \(0.357051\pi\)
\(464\) 7.17828 + 5.44689i 0.333243 + 0.252865i
\(465\) 25.0453 + 0.918440i 1.16145 + 0.0425916i
\(466\) 0.597711 0.140216i 0.0276884 0.00649537i
\(467\) 14.7510 10.7172i 0.682594 0.495933i −0.191623 0.981469i \(-0.561375\pi\)
0.874217 + 0.485535i \(0.161375\pi\)
\(468\) 18.5882 31.5714i 0.859242 1.45939i
\(469\) 5.13605 3.73156i 0.237161 0.172307i
\(470\) −19.7096 1.88105i −0.909138 0.0867663i
\(471\) −0.248227 + 9.83157i −0.0114377 + 0.453015i
\(472\) −21.2910 25.7304i −0.979999 1.18434i
\(473\) −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
\(477\) −18.2541 + 22.6286i −0.835798 + 1.03609i
\(478\) −29.3809 25.3589i −1.34385 1.15989i
\(479\) −26.7381 19.4263i −1.22169 0.887612i −0.225454 0.974254i \(-0.572386\pi\)
−0.996240 + 0.0866417i \(0.972386\pi\)
\(480\) −19.3604 + 10.2555i −0.883678 + 0.468096i
\(481\) −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
\(484\) −2.38822 16.1645i −0.108555 0.734748i
\(485\) 0.535099 + 1.71314i 0.0242976 + 0.0777898i
\(486\) −19.0862 11.0325i −0.865770 0.500443i
\(487\) 10.5341 3.42275i 0.477347 0.155100i −0.0604543 0.998171i \(-0.519255\pi\)
0.537802 + 0.843071i \(0.319255\pi\)
\(488\) −0.109893 1.74352i −0.00497461 0.0789253i
\(489\) −2.32758 7.83081i −0.105257 0.354122i
\(490\) −6.13099 + 3.61840i −0.276970 + 0.163462i
\(491\) 5.36273 + 16.5048i 0.242017 + 0.744851i 0.996113 + 0.0880867i \(0.0280753\pi\)
−0.754096 + 0.656764i \(0.771925\pi\)
\(492\) −14.8662 + 26.7731i −0.670221 + 1.20703i
\(493\) −3.22513 −0.145252
\(494\) −16.3332 26.9669i −0.734863 1.21330i
\(495\) −9.52260 + 6.05572i −0.428009 + 0.272184i
\(496\) −21.2525 + 14.7756i −0.954264 + 0.663446i
\(497\) −0.732131 + 1.00769i −0.0328406 + 0.0452011i
\(498\) 17.1817 3.57565i 0.769932 0.160229i
\(499\) 5.14989i 0.230541i 0.993334 + 0.115270i \(0.0367734\pi\)
−0.993334 + 0.115270i \(0.963227\pi\)
\(500\) −20.3566 + 9.25249i −0.910375 + 0.413784i
\(501\) −13.5573 19.6864i −0.605695 0.879524i
\(502\) −1.65703 + 3.94233i −0.0739567 + 0.175955i
\(503\) 17.6453 + 12.8201i 0.786766 + 0.571619i 0.907002 0.421126i \(-0.138365\pi\)
−0.120236 + 0.992745i \(0.538365\pi\)
\(504\) 8.28057 + 24.4443i 0.368846 + 1.08883i
\(505\) 13.1977 17.7359i 0.587291 0.789237i
\(506\) 8.77152 5.31268i 0.389942 0.236177i
\(507\) −23.8576 34.6434i −1.05955 1.53857i
\(508\) 0.0904814 + 0.182239i 0.00401446 + 0.00808553i
\(509\) 26.8890 8.73676i 1.19183 0.387250i 0.355083 0.934835i \(-0.384453\pi\)
0.836750 + 0.547585i \(0.184453\pi\)
\(510\) 3.30130 7.11270i 0.146184 0.314956i
\(511\) −6.15735 2.00064i −0.272385 0.0885033i
\(512\) 9.62727 20.4772i 0.425469 0.904973i
\(513\) −16.1474 + 9.95771i −0.712925 + 0.439644i
\(514\) 22.8645 + 9.61034i 1.00851 + 0.423894i
\(515\) −15.9607 + 4.98531i −0.703312 + 0.219679i
\(516\) 6.70837 + 7.20441i 0.295320 + 0.317157i
\(517\) 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
\(520\) 1.98930 + 38.5676i 0.0872367 + 1.69130i
\(521\) 14.3419 19.7399i 0.628330 0.864822i −0.369596 0.929193i \(-0.620504\pi\)
0.997926 + 0.0643702i \(0.0205038\pi\)
\(522\) −4.53251 8.41440i −0.198382 0.368288i
\(523\) −22.5818 7.33727i −0.987432 0.320836i −0.229600 0.973285i \(-0.573742\pi\)
−0.757833 + 0.652449i \(0.773742\pi\)
\(524\) −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
\(528\) 4.10791 10.9072i 0.178774 0.474675i
\(529\) 3.57587 + 2.59802i 0.155472 + 0.112957i
\(530\) 2.91157 30.5075i 0.126471 1.32516i
\(531\) 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
\(534\) 0.635177 + 0.576835i 0.0274868 + 0.0249621i
\(535\) −2.26869 1.68819i −0.0980840 0.0729868i
\(536\) 4.98493 + 3.16273i 0.215316 + 0.136609i
\(537\) −7.03963 + 9.19205i −0.303782 + 0.396666i
\(538\) −13.8400 + 3.24670i −0.596685 + 0.139975i
\(539\) 1.17032 3.60187i 0.0504092 0.155144i
\(540\) 23.1967 1.38286i 0.998228 0.0595087i
\(541\) −1.16792 3.59447i −0.0502126 0.154539i 0.922806 0.385265i \(-0.125890\pi\)
−0.973019 + 0.230726i \(0.925890\pi\)
\(542\) 6.09282 + 10.0596i 0.261709 + 0.432096i
\(543\) 16.8111 + 24.4113i 0.721435 + 1.04759i
\(544\) 1.68531 + 7.92137i 0.0722573 + 0.339626i
\(545\) 8.84937 26.2138i 0.379065 1.12288i
\(546\) 45.2232 + 4.94805i 1.93538 + 0.211757i
\(547\) −19.7513 + 27.1853i −0.844503 + 1.16236i 0.140544 + 0.990074i \(0.455115\pi\)
−0.985047 + 0.172284i \(0.944885\pi\)
\(548\) −2.67786 1.39969i −0.114393 0.0597919i
\(549\) −0.660793 + 1.73112i −0.0282020 + 0.0738824i
\(550\) 4.85833 10.8581i 0.207160 0.462991i
\(551\) −8.22458 −0.350379
\(552\) −21.1018 + 0.795987i −0.898152 + 0.0338795i
\(553\) 34.0957 + 24.7720i 1.44990 + 1.05341i
\(554\) −6.84951 5.91188i −0.291008 0.251172i
\(555\) −38.3048 14.0177i −1.62595 0.595017i
\(556\) −7.75579 15.6210i −0.328919 0.662476i
\(557\) 42.7946i 1.81327i 0.421920 + 0.906633i \(0.361356\pi\)
−0.421920 + 0.906633i \(0.638644\pi\)
\(558\) 27.0110 4.91340i 1.14347 0.208001i
\(559\) 16.5029 5.36212i 0.697998 0.226793i
\(560\) −21.4829 16.6909i −0.907817 0.705321i
\(561\) 1.18853 + 3.99863i 0.0501796 + 0.168822i
\(562\) 32.8045 7.69553i 1.38377 0.324616i
\(563\) 11.2765 + 34.7054i 0.475246 + 1.46266i 0.845626 + 0.533776i \(0.179227\pi\)
−0.370380 + 0.928880i \(0.620773\pi\)
\(564\) −21.5292 + 2.62746i −0.906543 + 0.110636i
\(565\) −31.8967 10.7678i −1.34190 0.453005i
\(566\) 33.7857 7.92571i 1.42012 0.333143i
\(567\) 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 0.867709 + 0.497073i \(0.165592\pi\)
0.204608 + 0.978844i \(0.434408\pi\)
\(570\) 8.41884 18.1385i 0.352627 0.759739i
\(571\) −11.6501 + 16.0349i −0.487539 + 0.671040i −0.979932 0.199333i \(-0.936123\pi\)
0.492392 + 0.870373i \(0.336123\pi\)
\(572\) −14.3754 14.6774i −0.601064 0.613693i
\(573\) −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
\(576\) −18.2985 + 15.5295i −0.762437 + 0.647063i
\(577\) −8.83017 + 27.1765i −0.367605 + 1.13137i 0.580729 + 0.814097i \(0.302768\pi\)
−0.948334 + 0.317274i \(0.897232\pi\)
\(578\) 16.0057 + 13.8147i 0.665748 + 0.574614i
\(579\) 0.0619579 2.45398i 0.00257488 0.101984i
\(580\) 8.87457 + 4.76838i 0.368496 + 0.197996i
\(581\) 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
\(584\) −0.378716 6.00857i −0.0156714 0.248636i
\(585\) 15.0433 38.0991i 0.621965 1.57520i
\(586\) 6.02047 + 2.53050i 0.248703 + 0.104534i
\(587\) −8.49989 26.1600i −0.350828 1.07974i −0.958389 0.285465i \(-0.907852\pi\)
0.607561 0.794273i \(-0.292148\pi\)
\(588\) −5.70743 + 5.31446i −0.235370 + 0.219165i
\(589\) 7.30065 22.4691i 0.300818 0.925822i
\(590\) −27.9861 24.7180i −1.15217 1.01762i
\(591\) −6.43952 4.93163i −0.264886 0.202860i
\(592\) 40.3270 12.1821i 1.65743 0.500682i
\(593\) 41.8987i 1.72057i 0.509810 + 0.860287i \(0.329716\pi\)
−0.509810 + 0.860287i \(0.670284\pi\)
\(594\) −8.76217 + 8.72046i −0.359516 + 0.357805i
\(595\) 9.73634 + 0.111116i 0.399151 + 0.00455533i
\(596\) −11.2140 + 10.9832i −0.459343 + 0.449890i
\(597\) 31.4211 + 0.793319i 1.28598 + 0.0324684i
\(598\) −14.4231 + 34.3147i −0.589802 + 1.40323i
\(599\) 12.8584 0.525378 0.262689 0.964881i \(-0.415391\pi\)
0.262689 + 0.964881i \(0.415391\pi\)
\(600\) −19.6004 + 14.6910i −0.800182 + 0.599757i
\(601\) 0.0506283 0.00206517 0.00103259 0.999999i \(-0.499671\pi\)
0.00103259 + 0.999999i \(0.499671\pi\)
\(602\) −4.73641 + 11.2687i −0.193042 + 0.459277i
\(603\) −3.42021 5.24510i −0.139282 0.213597i
\(604\) −31.4811 + 30.8333i −1.28095 + 1.25459i
\(605\) −5.44666 17.4378i −0.221438 0.708946i
\(606\) 9.94434 22.0817i 0.403961 0.897007i
\(607\) 7.02033i 0.284946i −0.989799 0.142473i \(-0.954495\pi\)
0.989799 0.142473i \(-0.0455055\pi\)
\(608\) 4.29782 + 20.2008i 0.174300 + 0.819249i
\(609\) 7.21581 9.42210i 0.292400 0.381803i
\(610\) −0.424353 1.90652i −0.0171816 0.0771929i
\(611\) −11.8141 + 36.3600i −0.477946 + 1.47097i
\(612\) 1.85748 8.38670i 0.0750841 0.339012i
\(613\) 8.12803 + 25.0155i 0.328288 + 1.01037i 0.969935 + 0.243366i \(0.0782516\pi\)
−0.641647 + 0.767000i \(0.721748\pi\)
\(614\) −18.0588 7.59041i −0.728794 0.306324i
\(615\) −11.7664 + 32.1529i −0.474467 + 1.29653i
\(616\) 14.4438 0.910380i 0.581956 0.0366803i
\(617\) 5.27723 + 7.26349i 0.212453 + 0.292417i 0.901922 0.431898i \(-0.142156\pi\)
−0.689469 + 0.724315i \(0.742156\pi\)
\(618\) −15.9020 + 9.09089i −0.639671 + 0.365689i
\(619\) 0.953984 + 1.31305i 0.0383438 + 0.0527758i 0.827758 0.561085i \(-0.189616\pi\)
−0.789415 + 0.613860i \(0.789616\pi\)
\(620\) −20.9045 + 20.0121i −0.839546 + 0.803705i
\(621\) 20.7169 + 8.51303i 0.831339 + 0.341616i
\(622\) 1.20868 + 1.04323i 0.0484638 + 0.0418296i
\(623\) −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
\(627\) 3.03093 + 10.1971i 0.121044 + 0.407235i
\(628\) −7.94609 8.11305i −0.317084 0.323746i
\(629\) −8.86249 + 12.1982i −0.353371 + 0.486373i
\(630\) 13.3933 + 25.5584i 0.533602 + 1.01827i
\(631\) −10.2745 14.1416i −0.409020 0.562968i 0.553959 0.832544i \(-0.313116\pi\)
−0.962979 + 0.269576i \(0.913116\pi\)
\(632\) −9.74207 + 37.9608i −0.387519 + 1.51000i
\(633\) 0.287500 0.814301i 0.0114271 0.0323656i
\(634\) 22.6181 5.30594i 0.898280 0.210726i
\(635\) 0.131601 + 0.185549i 0.00522241 + 0.00736330i
\(636\) −4.06690 33.3239i −0.161263 1.32138i
\(637\) 4.24794 + 13.0738i 0.168309 + 0.518003i
\(638\) −5.21779 + 1.22403i −0.206574 + 0.0484598i
\(639\) 0.956206 + 0.771357i 0.0378269 + 0.0305144i
\(640\) 7.07434 24.2890i 0.279638 0.960105i
\(641\) 16.7565 5.44451i 0.661841 0.215045i 0.0412132 0.999150i \(-0.486878\pi\)
0.620628 + 0.784105i \(0.286878\pi\)
\(642\) −2.82458 1.27203i −0.111477 0.0502031i
\(643\) 0.955734i 0.0376905i −0.999822 0.0188452i \(-0.994001\pi\)
0.999822 0.0188452i \(-0.00599898\pi\)
\(644\) −11.6607 23.4858i −0.459495 0.925469i
\(645\) 8.66100 + 6.79113i 0.341026 + 0.267400i
\(646\) −5.59586 4.82984i −0.220166 0.190028i
\(647\) −16.6821 12.1203i −0.655843 0.476498i 0.209414 0.977827i \(-0.432844\pi\)
−0.865256 + 0.501329i \(0.832844\pi\)
\(648\) 24.4915 6.94026i 0.962116 0.272639i
\(649\) 19.8637 0.779717
\(650\) 8.89923 + 42.2502i 0.349057 + 1.65719i
\(651\) 19.3354 + 28.0768i 0.757816 + 1.10042i
\(652\) 8.36009 + 4.36974i 0.327406 + 0.171132i
\(653\) 22.0395 30.3348i 0.862473 1.18709i −0.118501 0.992954i \(-0.537809\pi\)
0.980974 0.194138i \(-0.0621911\pi\)
\(654\) 3.29644 30.1281i 0.128901 1.17810i
\(655\) −7.29088 0.0832076i −0.284878 0.00325119i
\(656\) −10.2256 33.8503i −0.399244 1.32163i
\(657\) −2.27725 + 5.96584i −0.0888439 + 0.232750i
\(658\) −13.9522 23.0359i −0.543914 0.898031i
\(659\) −8.81637 27.1340i −0.343437 1.05699i −0.962415 0.271583i \(-0.912453\pi\)
0.618978 0.785408i \(-0.287547\pi\)
\(660\) 2.64155 12.7603i 0.102822 0.496693i
\(661\) 7.02217 21.6120i 0.273131 0.840611i −0.716577 0.697508i \(-0.754292\pi\)
0.989708 0.143103i \(-0.0457079\pi\)
\(662\) 29.6024 6.94438i 1.15053 0.269901i
\(663\) −12.0212 9.20630i −0.466864 0.357543i
\(664\) −10.8565 + 17.1114i −0.421313 + 0.664051i
\(665\) 24.8292 + 0.283365i 0.962836 + 0.0109884i
\(666\) −44.2803 5.97939i −1.71583 0.231697i
\(667\) 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
\(670\) 6.05519 + 2.62680i 0.233933 + 0.101482i
\(671\) 0.840613 + 0.610741i 0.0324515 + 0.0235774i
\(672\) −26.9127 12.7995i −1.03818 0.493751i
\(673\) 6.16364 18.9697i 0.237591 0.731229i −0.759176 0.650885i \(-0.774398\pi\)
0.996767 0.0803443i \(-0.0256020\pi\)
\(674\) −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 −0.242117 0.970247i \(-0.577842\pi\)
−0.766174 + 0.642634i \(0.777842\pi\)
\(678\) −36.6596 4.01107i −1.40790 0.154044i
\(679\) −1.43497 + 1.97507i −0.0550690 + 0.0757960i
\(680\) 3.23789 + 8.45586i 0.124167 + 0.324267i
\(681\) 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 \(-0.776251\pi\)
0.379051 + 0.925376i \(0.376251\pi\)
\(684\) 4.73687 21.3874i 0.181119 0.817768i
\(685\) −3.20079 1.08054i −0.122296 0.0412851i
\(686\) 18.8307 + 7.91487i 0.718960 + 0.302191i
\(687\) 11.2021 14.6273i 0.427388 0.558066i
\(688\) −11.3645 0.236322i −0.433268 0.00900969i
\(689\) −56.2796 18.2863i −2.14408 0.696654i
\(690\) −23.1675 + 4.54613i −0.881971 + 0.173068i
\(691\) 19.0094 6.17654i 0.723153 0.234967i 0.0757631 0.997126i \(-0.475861\pi\)
0.647390 + 0.762159i \(0.275861\pi\)
\(692\) 12.2568 + 24.6864i 0.465932 + 0.938435i
\(693\) −14.3411 5.47419i −0.544772 0.207947i
\(694\) −3.03320 + 1.83713i −0.115139 + 0.0697365i
\(695\) −11.2804 15.9047i −0.427891 0.603301i
\(696\) 10.6170 + 3.01227i 0.402436 + 0.114180i
\(697\) 10.2391 + 7.43914i 0.387834 + 0.281778i
\(698\) −10.5629 + 25.1308i −0.399812 + 0.951216i
\(699\) 0.619275 0.426471i 0.0234231 0.0161306i
\(700\) −26.6272 14.7010i −1.00641 0.555647i
\(701\) 40.5082i 1.52997i −0.644046 0.764987i \(-0.722745\pi\)
0.644046 0.764987i \(-0.277255\pi\)
\(702\) 7.12510 44.3018i 0.268920 1.67206i
\(703\) −22.6008 + 31.1073i −0.852404 + 1.17323i
\(704\) 5.73299 + 12.1760i 0.216070 + 0.458901i
\(705\) −23.3213 + 6.64317i −0.878329 + 0.250196i
\(706\) 23.4212 + 38.6697i 0.881469 + 1.45535i
\(707\) 30.0715 1.13096
\(708\) −35.7599 19.8563i −1.34394 0.746245i
\(709\) 10.9326 + 33.6469i 0.410581 + 1.26364i 0.916145 + 0.400848i \(0.131284\pi\)
−0.505564 + 0.862789i \(0.668716\pi\)
\(710\) −1.28914 0.123033i −0.0483806 0.00461735i
\(711\) 26.0992 32.3536i 0.978796 1.21336i
\(712\) −0.988787 + 0.0623225i −0.0370563 + 0.00233563i
\(713\) −26.5279 + 8.61942i −0.993476 + 0.322800i
\(714\) 10.4426 2.17318i 0.390804 0.0813293i
\(715\) −18.4274 13.7123i −0.689146 0.512811i
\(716\) −1.95401 13.2256i −0.0730247 0.494262i
\(717\) −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 \(-0.936219\pi\)
−0.113540 + 0.993533i \(0.536219\pi\)
\(720\) −17.5110 + 20.3314i −0.652598 + 0.757705i
\(721\) −18.4009 13.3691i −0.685286 0.497889i
\(722\) 6.07084 + 5.23981i 0.225933 + 0.195005i
\(723\) −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
\(726\) −9.93219 17.3736i −0.368618 0.644794i
\(727\) −30.3883 9.87376i −1.12704 0.366197i −0.314589 0.949228i \(-0.601867\pi\)
−0.812450 + 0.583030i \(0.801867\pi\)
\(728\) −40.4720 + 33.4891i −1.49999 + 1.24119i
\(729\) −26.6909 4.07368i −0.988553 0.150877i
\(730\) −1.46242 6.57033i −0.0541266 0.243179i
\(731\) 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 −0.306724 0.951798i \(-0.599233\pi\)
0.810431 + 0.585834i \(0.199233\pi\)
\(734\) −43.8898 + 10.2960i −1.62000 + 0.380033i
\(735\) −5.38002 + 6.86135i −0.198445 + 0.253085i
\(736\) 16.3124 18.1236i 0.601282 0.668046i
\(737\) −3.33944 + 1.08505i −0.123010 + 0.0399683i
\(738\) −5.01908 + 37.1688i −0.184755 + 1.36820i
\(739\) 43.6990 + 14.1987i 1.60750 + 0.522307i 0.968946 0.247274i \(-0.0795347\pi\)
0.638550 + 0.769581i \(0.279535\pi\)
\(740\) 42.4220 20.4624i 1.55946 0.752213i
\(741\) −30.6560 23.4775i −1.12617 0.862468i
\(742\) 35.6559 21.5958i 1.30897 0.792808i
\(743\) −8.90590 −0.326726 −0.163363 0.986566i \(-0.552234\pi\)
−0.163363 + 0.986566i \(0.552234\pi\)
\(744\) −17.6536 + 26.3311i −0.647214 + 0.965347i
\(745\) −10.4766 + 14.0791i −0.383834 + 0.515819i
\(746\) 6.67706 + 5.76304i 0.244464 + 0.211000i
\(747\) 18.0045 11.7403i 0.658749 0.429555i
\(748\) −4.26889 2.23131i −0.156086 0.0815848i
\(749\) 3.84660i 0.140552i
\(750\) −19.0946 + 19.6315i −0.697236 + 0.716841i
\(751\) 23.1460i 0.844609i 0.906454 + 0.422305i \(0.138779\pi\)
−0.906454 + 0.422305i \(0.861221\pi\)
\(752\) 15.1387 19.9508i 0.552051 0.727530i
\(753\) −0.132194 + 5.23584i −0.00481743 + 0.190805i
\(754\) 12.7106 14.7265i 0.462893 0.536308i
\(755\) −29.4111 + 39.5244i −1.07038 + 1.43844i
\(756\) 20.3456 + 24.1908i 0.739963 + 0.879809i
\(757\) 9.48600 0.344775 0.172387 0.985029i \(-0.444852\pi\)
0.172387 + 0.985029i \(0.444852\pi\)
\(758\) −15.0138 24.7887i −0.545327 0.900365i
\(759\) 7.63652 9.97145i 0.277188 0.361941i
\(760\) 8.25714 + 21.5638i 0.299518 + 0.782201i
\(761\) −10.5358 3.42328i −0.381922 0.124094i 0.111763 0.993735i \(-0.464350\pi\)
−0.493685 + 0.869641i \(0.664350\pi\)
\(762\) 0.184474 + 0.167530i 0.00668278 + 0.00606896i
\(763\) 35.7921 11.6296i 1.29576 0.421019i
\(764\) 8.09619 15.4894i 0.292910 0.560389i
\(765\) 0.594072 9.58545i 0.0214787 0.346563i
\(766\) 9.55117 + 40.7147i 0.345098 + 1.47108i
\(767\) −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 −0.344442 0.938808i \(-0.611932\pi\)
0.786421 + 0.617691i \(0.211932\pi\)
\(770\) 15.7942 3.51546i 0.569182 0.126688i
\(771\) 30.3666 + 0.766695i 1.09363 + 0.0276118i
\(772\) 1.98336 + 2.02503i 0.0713826 + 0.0728825i
\(773\) −45.3461 14.7338i −1.63099 0.529940i −0.656489 0.754336i \(-0.727959\pi\)
−0.974498 + 0.224396i \(0.927959\pi\)
\(774\)