Properties

Label 62.2.g.a.9.1
Level 62
Weight 2
Character 62.9
Analytic conductor 0.495
Analytic rank 0
Dimension 8
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 62 = 2 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 62.g (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.495072492532\)
Analytic rank: \(0\)
Dimension: \(8\)
Coefficient field: \(\Q(\zeta_{15})\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 9.1
Root \(0.669131 + 0.743145i\)
Character \(\chi\) = 62.9
Dual form 62.2.g.a.7.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.309017 - 0.951057i) q^{2} +(0.604528 + 0.128496i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(0.139886 + 0.242290i) q^{5} +(0.309017 - 0.535233i) q^{6} +(-0.309017 + 0.137583i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(-2.39169 - 1.06485i) q^{9} +O(q^{10})\) \(q+(0.309017 - 0.951057i) q^{2} +(0.604528 + 0.128496i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(0.139886 + 0.242290i) q^{5} +(0.309017 - 0.535233i) q^{6} +(-0.309017 + 0.137583i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(-2.39169 - 1.06485i) q^{9} +(0.273659 - 0.0581680i) q^{10} +(-0.521852 + 4.96509i) q^{11} +(-0.413545 - 0.459289i) q^{12} +(1.05849 - 1.17557i) q^{13} +(0.0353579 + 0.336408i) q^{14} +(0.0534318 + 0.164446i) q^{15} +(0.309017 + 0.951057i) q^{16} +(0.0201074 + 0.191309i) q^{17} +(-1.75181 + 1.94558i) q^{18} +(-0.644943 - 0.716282i) q^{19} +(0.0292442 - 0.278240i) q^{20} +(-0.204489 + 0.0434654i) q^{21} +(4.56082 + 2.03061i) q^{22} +(-3.17886 + 2.30958i) q^{23} +(-0.564602 + 0.251377i) q^{24} +(2.46086 - 4.26234i) q^{25} +(-0.790943 - 1.36995i) q^{26} +(-2.80902 - 2.04087i) q^{27} +(0.330869 + 0.0703285i) q^{28} +(2.23781 - 6.88728i) q^{29} +0.172909 q^{30} +(4.79912 - 2.82284i) q^{31} +1.00000 q^{32} +(-0.953472 + 2.93448i) q^{33} +(0.188160 + 0.0399946i) q^{34} +(-0.0765624 - 0.0556258i) q^{35} +(1.30902 + 2.26728i) q^{36} +(3.82991 - 6.63361i) q^{37} +(-0.880523 + 0.392034i) q^{38} +(0.790943 - 0.574654i) q^{39} +(-0.255585 - 0.113794i) q^{40} +(-8.03519 + 1.70793i) q^{41} +(-0.0218524 + 0.207912i) q^{42} +(2.29535 + 2.54924i) q^{43} +(3.34060 - 3.71011i) q^{44} +(-0.0765624 - 0.728442i) q^{45} +(1.21422 + 3.73697i) q^{46} +(3.04965 + 9.38587i) q^{47} +(0.0646021 + 0.614648i) q^{48} +(-4.60735 + 5.11698i) q^{49} +(-3.29328 - 3.65756i) q^{50} +(-0.0124271 + 0.118236i) q^{51} +(-1.54732 + 0.328893i) q^{52} +(8.58862 + 3.82390i) q^{53} +(-2.80902 + 2.04087i) q^{54} +(-1.27599 + 0.568109i) q^{55} +(0.169131 - 0.292943i) q^{56} +(-0.297847 - 0.515886i) q^{57} +(-5.85867 - 4.25657i) q^{58} +(-10.8349 - 2.30303i) q^{59} +(0.0534318 - 0.164446i) q^{60} -1.36685 q^{61} +(-1.20167 - 5.43654i) q^{62} +0.885579 q^{63} +(0.309017 - 0.951057i) q^{64} +(0.432897 + 0.0920152i) q^{65} +(2.49622 + 1.81361i) q^{66} +(3.29173 + 5.70145i) q^{67} +(0.0961816 - 0.166591i) q^{68} +(-2.21848 + 0.987732i) q^{69} +(-0.0765624 + 0.0556258i) q^{70} +(-5.22394 - 2.32585i) q^{71} +(2.56082 - 0.544320i) q^{72} +(-1.61899 + 15.4037i) q^{73} +(-5.12543 - 5.69236i) q^{74} +(2.03536 - 2.26049i) q^{75} +(0.100750 + 0.958572i) q^{76} +(-0.521852 - 1.60610i) q^{77} +(-0.302113 - 0.929809i) q^{78} +(-1.42695 - 13.5765i) q^{79} +(-0.187205 + 0.207912i) q^{80} +(3.81953 + 4.24202i) q^{81} +(-0.858670 + 8.16970i) q^{82} +(14.2291 - 3.02449i) q^{83} +(0.190983 + 0.0850311i) q^{84} +(-0.0435397 + 0.0316334i) q^{85} +(3.13377 - 1.39525i) q^{86} +(2.23781 - 3.87601i) q^{87} +(-2.49622 - 4.32358i) q^{88} +(4.00973 + 2.91324i) q^{89} +(-0.716449 - 0.152286i) q^{90} +(-0.165352 + 0.508902i) q^{91} +3.92928 q^{92} +(3.26393 - 1.08981i) q^{93} +9.86889 q^{94} +(0.0833294 - 0.256462i) q^{95} +(0.604528 + 0.128496i) q^{96} +(-9.83810 - 7.14780i) q^{97} +(3.44279 + 5.96309i) q^{98} +(6.53519 - 11.3193i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q - 2q^{2} + 3q^{3} - 2q^{4} + q^{5} - 2q^{6} + 2q^{7} - 2q^{8} - 4q^{9} + O(q^{10}) \) \( 8q - 2q^{2} + 3q^{3} - 2q^{4} + q^{5} - 2q^{6} + 2q^{7} - 2q^{8} - 4q^{9} - 4q^{10} - 13q^{11} + 3q^{12} + 2q^{14} - 6q^{15} - 2q^{16} - 2q^{17} + q^{18} - 3q^{19} - 4q^{20} + q^{21} + 17q^{22} + 3q^{23} - 2q^{24} + q^{25} - 10q^{26} - 18q^{27} + 7q^{28} + 11q^{29} + 14q^{30} + 11q^{31} + 8q^{32} - 2q^{33} + 18q^{34} + 16q^{35} + 6q^{36} + 6q^{37} + 12q^{38} + 10q^{39} - 4q^{40} - 19q^{41} - 9q^{42} - 26q^{43} + 7q^{44} + 16q^{45} - 17q^{46} + q^{47} - 2q^{48} - 23q^{49} - 19q^{50} - 16q^{51} + 17q^{53} - 18q^{54} + 7q^{55} - 3q^{56} + 6q^{57} - 19q^{58} + 8q^{59} - 6q^{60} + 48q^{61} - 19q^{62} - 14q^{63} - 2q^{64} - 30q^{65} + 3q^{66} + 12q^{67} - 17q^{68} - 7q^{69} + 16q^{70} + 9q^{71} + q^{72} - 33q^{73} - 19q^{74} + 18q^{75} - 18q^{76} - 13q^{77} - 10q^{78} - 19q^{79} + 11q^{80} - 16q^{81} + 21q^{82} + 40q^{83} + 6q^{84} + 29q^{85} + 19q^{86} + 11q^{87} - 3q^{88} + 8q^{89} + 11q^{90} + 20q^{91} + 28q^{92} + 44q^{93} + 26q^{94} + 36q^{95} + 3q^{96} - 23q^{97} + 17q^{98} + 7q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/62\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{15}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.309017 0.951057i 0.218508 0.672499i
\(3\) 0.604528 + 0.128496i 0.349025 + 0.0741875i 0.379088 0.925361i \(-0.376238\pi\)
−0.0300636 + 0.999548i \(0.509571\pi\)
\(4\) −0.809017 0.587785i −0.404508 0.293893i
\(5\) 0.139886 + 0.242290i 0.0625591 + 0.108356i 0.895609 0.444843i \(-0.146740\pi\)
−0.833050 + 0.553198i \(0.813407\pi\)
\(6\) 0.309017 0.535233i 0.126156 0.218508i
\(7\) −0.309017 + 0.137583i −0.116797 + 0.0520016i −0.464303 0.885676i \(-0.653695\pi\)
0.347506 + 0.937678i \(0.387029\pi\)
\(8\) −0.809017 + 0.587785i −0.286031 + 0.207813i
\(9\) −2.39169 1.06485i −0.797231 0.354950i
\(10\) 0.273659 0.0581680i 0.0865386 0.0183943i
\(11\) −0.521852 + 4.96509i −0.157344 + 1.49703i 0.576154 + 0.817341i \(0.304553\pi\)
−0.733499 + 0.679691i \(0.762114\pi\)
\(12\) −0.413545 0.459289i −0.119380 0.132585i
\(13\) 1.05849 1.17557i 0.293572 0.326045i −0.578257 0.815854i \(-0.696267\pi\)
0.871829 + 0.489810i \(0.162934\pi\)
\(14\) 0.0353579 + 0.336408i 0.00944980 + 0.0899089i
\(15\) 0.0534318 + 0.164446i 0.0137960 + 0.0424599i
\(16\) 0.309017 + 0.951057i 0.0772542 + 0.237764i
\(17\) 0.0201074 + 0.191309i 0.00487677 + 0.0463993i 0.996690 0.0813003i \(-0.0259073\pi\)
−0.991813 + 0.127700i \(0.959241\pi\)
\(18\) −1.75181 + 1.94558i −0.412905 + 0.458577i
\(19\) −0.644943 0.716282i −0.147960 0.164326i 0.664609 0.747192i \(-0.268598\pi\)
−0.812569 + 0.582865i \(0.801932\pi\)
\(20\) 0.0292442 0.278240i 0.00653921 0.0622164i
\(21\) −0.204489 + 0.0434654i −0.0446231 + 0.00948492i
\(22\) 4.56082 + 2.03061i 0.972371 + 0.432927i
\(23\) −3.17886 + 2.30958i −0.662838 + 0.481580i −0.867620 0.497228i \(-0.834351\pi\)
0.204782 + 0.978808i \(0.434351\pi\)
\(24\) −0.564602 + 0.251377i −0.115249 + 0.0513121i
\(25\) 2.46086 4.26234i 0.492173 0.852468i
\(26\) −0.790943 1.36995i −0.155117 0.268670i
\(27\) −2.80902 2.04087i −0.540596 0.392766i
\(28\) 0.330869 + 0.0703285i 0.0625284 + 0.0132908i
\(29\) 2.23781 6.88728i 0.415551 1.27894i −0.496205 0.868205i \(-0.665274\pi\)
0.911757 0.410731i \(-0.134726\pi\)
\(30\) 0.172909 0.0315687
\(31\) 4.79912 2.82284i 0.861948 0.506996i
\(32\) 1.00000 0.176777
\(33\) −0.953472 + 2.93448i −0.165978 + 0.510828i
\(34\) 0.188160 + 0.0399946i 0.0322691 + 0.00685901i
\(35\) −0.0765624 0.0556258i −0.0129414 0.00940248i
\(36\) 1.30902 + 2.26728i 0.218169 + 0.377881i
\(37\) 3.82991 6.63361i 0.629634 1.09056i −0.357991 0.933725i \(-0.616538\pi\)
0.987625 0.156833i \(-0.0501285\pi\)
\(38\) −0.880523 + 0.392034i −0.142840 + 0.0635963i
\(39\) 0.790943 0.574654i 0.126652 0.0920182i
\(40\) −0.255585 0.113794i −0.0404116 0.0179924i
\(41\) −8.03519 + 1.70793i −1.25489 + 0.266734i −0.786944 0.617025i \(-0.788338\pi\)
−0.467942 + 0.883759i \(0.655005\pi\)
\(42\) −0.0218524 + 0.207912i −0.00337190 + 0.0320815i
\(43\) 2.29535 + 2.54924i 0.350037 + 0.388756i 0.892292 0.451458i \(-0.149096\pi\)
−0.542255 + 0.840214i \(0.682429\pi\)
\(44\) 3.34060 3.71011i 0.503614 0.559320i
\(45\) −0.0765624 0.728442i −0.0114132 0.108590i
\(46\) 1.21422 + 3.73697i 0.179026 + 0.550986i
\(47\) 3.04965 + 9.38587i 0.444838 + 1.36907i 0.882662 + 0.470009i \(0.155749\pi\)
−0.437824 + 0.899061i \(0.644251\pi\)
\(48\) 0.0646021 + 0.614648i 0.00932452 + 0.0887168i
\(49\) −4.60735 + 5.11698i −0.658193 + 0.730998i
\(50\) −3.29328 3.65756i −0.465740 0.517257i
\(51\) −0.0124271 + 0.118236i −0.00174014 + 0.0165563i
\(52\) −1.54732 + 0.328893i −0.214574 + 0.0456092i
\(53\) 8.58862 + 3.82390i 1.17974 + 0.525253i 0.900452 0.434955i \(-0.143236\pi\)
0.279286 + 0.960208i \(0.409902\pi\)
\(54\) −2.80902 + 2.04087i −0.382259 + 0.277727i
\(55\) −1.27599 + 0.568109i −0.172055 + 0.0766038i
\(56\) 0.169131 0.292943i 0.0226010 0.0391461i
\(57\) −0.297847 0.515886i −0.0394508 0.0683307i
\(58\) −5.85867 4.25657i −0.769281 0.558915i
\(59\) −10.8349 2.30303i −1.41058 0.299829i −0.561234 0.827657i \(-0.689673\pi\)
−0.849351 + 0.527828i \(0.823006\pi\)
\(60\) 0.0534318 0.164446i 0.00689802 0.0212299i
\(61\) −1.36685 −0.175007 −0.0875037 0.996164i \(-0.527889\pi\)
−0.0875037 + 0.996164i \(0.527889\pi\)
\(62\) −1.20167 5.43654i −0.152612 0.690442i
\(63\) 0.885579 0.111573
\(64\) 0.309017 0.951057i 0.0386271 0.118882i
\(65\) 0.432897 + 0.0920152i 0.0536943 + 0.0114131i
\(66\) 2.49622 + 1.81361i 0.307264 + 0.223240i
\(67\) 3.29173 + 5.70145i 0.402149 + 0.696543i 0.993985 0.109516i \(-0.0349300\pi\)
−0.591836 + 0.806058i \(0.701597\pi\)
\(68\) 0.0961816 0.166591i 0.0116637 0.0202022i
\(69\) −2.21848 + 0.987732i −0.267074 + 0.118909i
\(70\) −0.0765624 + 0.0556258i −0.00915095 + 0.00664856i
\(71\) −5.22394 2.32585i −0.619968 0.276028i 0.0726214 0.997360i \(-0.476864\pi\)
−0.692589 + 0.721332i \(0.743530\pi\)
\(72\) 2.56082 0.544320i 0.301796 0.0641487i
\(73\) −1.61899 + 15.4037i −0.189488 + 1.80286i 0.325371 + 0.945586i \(0.394511\pi\)
−0.514859 + 0.857275i \(0.672156\pi\)
\(74\) −5.12543 5.69236i −0.595819 0.661724i
\(75\) 2.03536 2.26049i 0.235023 0.261019i
\(76\) 0.100750 + 0.958572i 0.0115568 + 0.109956i
\(77\) −0.521852 1.60610i −0.0594706 0.183032i
\(78\) −0.302113 0.929809i −0.0342076 0.105280i
\(79\) −1.42695 13.5765i −0.160544 1.52748i −0.717279 0.696786i \(-0.754613\pi\)
0.556734 0.830691i \(-0.312054\pi\)
\(80\) −0.187205 + 0.207912i −0.0209301 + 0.0232452i
\(81\) 3.81953 + 4.24202i 0.424393 + 0.471336i
\(82\) −0.858670 + 8.16970i −0.0948243 + 0.902193i
\(83\) 14.2291 3.02449i 1.56185 0.331981i 0.655726 0.754999i \(-0.272363\pi\)
0.906121 + 0.423018i \(0.139029\pi\)
\(84\) 0.190983 + 0.0850311i 0.0208380 + 0.00927765i
\(85\) −0.0435397 + 0.0316334i −0.00472254 + 0.00343113i
\(86\) 3.13377 1.39525i 0.337923 0.150453i
\(87\) 2.23781 3.87601i 0.239919 0.415551i
\(88\) −2.49622 4.32358i −0.266098 0.460895i
\(89\) 4.00973 + 2.91324i 0.425030 + 0.308803i 0.779659 0.626205i \(-0.215393\pi\)
−0.354628 + 0.935007i \(0.615393\pi\)
\(90\) −0.716449 0.152286i −0.0755203 0.0160523i
\(91\) −0.165352 + 0.508902i −0.0173336 + 0.0533474i
\(92\) 3.92928 0.409656
\(93\) 3.26393 1.08981i 0.338454 0.113008i
\(94\) 9.86889 1.01790
\(95\) 0.0833294 0.256462i 0.00854942 0.0263124i
\(96\) 0.604528 + 0.128496i 0.0616994 + 0.0131146i
\(97\) −9.83810 7.14780i −0.998907 0.725749i −0.0370537 0.999313i \(-0.511797\pi\)
−0.961854 + 0.273565i \(0.911797\pi\)
\(98\) 3.44279 + 5.96309i 0.347774 + 0.602363i
\(99\) 6.53519 11.3193i 0.656812 1.13763i
\(100\) −4.49622 + 2.00185i −0.449622 + 0.200185i
\(101\) 3.93444 2.85854i 0.391492 0.284435i −0.374575 0.927197i \(-0.622211\pi\)
0.766066 + 0.642761i \(0.222211\pi\)
\(102\) 0.108609 + 0.0483557i 0.0107539 + 0.00478793i
\(103\) −7.30698 + 1.55315i −0.719978 + 0.153036i −0.553308 0.832977i \(-0.686635\pi\)
−0.166670 + 0.986013i \(0.553302\pi\)
\(104\) −0.165352 + 1.57322i −0.0162141 + 0.154267i
\(105\) −0.0391364 0.0434654i −0.00381932 0.00424179i
\(106\) 6.29078 6.98662i 0.611014 0.678600i
\(107\) −0.290255 2.76159i −0.0280600 0.266973i −0.999553 0.0299041i \(-0.990480\pi\)
0.971493 0.237069i \(-0.0761868\pi\)
\(108\) 1.07295 + 3.30220i 0.103245 + 0.317754i
\(109\) 1.17417 + 3.61371i 0.112465 + 0.346131i 0.991410 0.130792i \(-0.0417521\pi\)
−0.878945 + 0.476923i \(0.841752\pi\)
\(110\) 0.146000 + 1.38910i 0.0139206 + 0.132445i
\(111\) 3.16769 3.51807i 0.300664 0.333921i
\(112\) −0.226341 0.251377i −0.0213872 0.0237529i
\(113\) −0.502398 + 4.78000i −0.0472617 + 0.449665i 0.945144 + 0.326655i \(0.105921\pi\)
−0.992405 + 0.123010i \(0.960745\pi\)
\(114\) −0.582676 + 0.123852i −0.0545726 + 0.0115998i
\(115\) −1.00427 0.447128i −0.0936484 0.0416949i
\(116\) −5.85867 + 4.25657i −0.543964 + 0.395213i
\(117\) −3.78339 + 1.68447i −0.349774 + 0.155729i
\(118\) −5.53848 + 9.59293i −0.509859 + 0.883101i
\(119\) −0.0325345 0.0563514i −0.00298243 0.00516573i
\(120\) −0.139886 0.101633i −0.0127698 0.00927782i
\(121\) −13.6202 2.89506i −1.23820 0.263188i
\(122\) −0.422381 + 1.29995i −0.0382405 + 0.117692i
\(123\) −5.07697 −0.457775
\(124\) −5.54179 0.537133i −0.497668 0.0482359i
\(125\) 2.77583 0.248278
\(126\) 0.273659 0.842236i 0.0243795 0.0750323i
\(127\) −1.81911 0.386664i −0.161420 0.0343108i 0.126493 0.991968i \(-0.459628\pi\)
−0.287913 + 0.957657i \(0.592961\pi\)
\(128\) −0.809017 0.587785i −0.0715077 0.0519534i
\(129\) 1.06003 + 1.83603i 0.0933308 + 0.161654i
\(130\) 0.221284 0.383276i 0.0194079 0.0336155i
\(131\) −12.6463 + 5.63048i −1.10491 + 0.491937i −0.876390 0.481602i \(-0.840055\pi\)
−0.228519 + 0.973539i \(0.573388\pi\)
\(132\) 2.49622 1.81361i 0.217268 0.157855i
\(133\) 0.297847 + 0.132610i 0.0258266 + 0.0114987i
\(134\) 6.43960 1.36878i 0.556297 0.118245i
\(135\) 0.101540 0.966088i 0.00873916 0.0831476i
\(136\) −0.128716 0.142954i −0.0110373 0.0122582i
\(137\) −4.78466 + 5.31391i −0.408781 + 0.453998i −0.912018 0.410151i \(-0.865476\pi\)
0.503236 + 0.864149i \(0.332143\pi\)
\(138\) 0.253840 + 2.41513i 0.0216083 + 0.205589i
\(139\) −2.03363 6.25886i −0.172490 0.530869i 0.827020 0.562172i \(-0.190034\pi\)
−0.999510 + 0.0313031i \(0.990034\pi\)
\(140\) 0.0292442 + 0.0900044i 0.00247159 + 0.00760676i
\(141\) 0.637551 + 6.06589i 0.0536915 + 0.510840i
\(142\) −3.82630 + 4.24954i −0.321096 + 0.356613i
\(143\) 5.28444 + 5.86897i 0.441907 + 0.490788i
\(144\) 0.273659 2.60369i 0.0228049 0.216974i
\(145\) 1.98176 0.421236i 0.164576 0.0349818i
\(146\) 14.1494 + 6.29974i 1.17102 + 0.521370i
\(147\) −3.44279 + 2.50133i −0.283957 + 0.206306i
\(148\) −6.99760 + 3.11553i −0.575199 + 0.256095i
\(149\) 9.44321 16.3561i 0.773618 1.33995i −0.161949 0.986799i \(-0.551778\pi\)
0.935568 0.353147i \(-0.114889\pi\)
\(150\) −1.52090 2.63427i −0.124181 0.215087i
\(151\) 0.179813 + 0.130642i 0.0146330 + 0.0106315i 0.595078 0.803668i \(-0.297121\pi\)
−0.580445 + 0.814300i \(0.697121\pi\)
\(152\) 0.942790 + 0.200396i 0.0764703 + 0.0162543i
\(153\) 0.155625 0.478965i 0.0125815 0.0387220i
\(154\) −1.68875 −0.136083
\(155\) 1.35528 + 0.767905i 0.108859 + 0.0616796i
\(156\) −0.977659 −0.0782754
\(157\) −6.80855 + 20.9546i −0.543381 + 1.67236i 0.181426 + 0.983405i \(0.441929\pi\)
−0.724807 + 0.688952i \(0.758071\pi\)
\(158\) −13.3530 2.83826i −1.06231 0.225800i
\(159\) 4.70071 + 3.41527i 0.372791 + 0.270848i
\(160\) 0.139886 + 0.242290i 0.0110590 + 0.0191547i
\(161\) 0.664562 1.15106i 0.0523748 0.0907159i
\(162\) 5.21470 2.32174i 0.409706 0.182413i
\(163\) 15.7260 11.4256i 1.23176 0.894923i 0.234736 0.972059i \(-0.424578\pi\)
0.997021 + 0.0771360i \(0.0245776\pi\)
\(164\) 7.50451 + 3.34122i 0.586003 + 0.260906i
\(165\) −0.844375 + 0.179477i −0.0657345 + 0.0139723i
\(166\) 1.52057 14.4673i 0.118019 1.12288i
\(167\) 1.45945 + 1.62088i 0.112936 + 0.125428i 0.796962 0.604030i \(-0.206439\pi\)
−0.684026 + 0.729458i \(0.739773\pi\)
\(168\) 0.139886 0.155360i 0.0107925 0.0119863i
\(169\) 1.09730 + 10.4401i 0.0844078 + 0.803087i
\(170\) 0.0166307 + 0.0511839i 0.00127551 + 0.00392563i
\(171\) 0.779773 + 2.39989i 0.0596307 + 0.183524i
\(172\) −0.358568 3.41155i −0.0273406 0.260128i
\(173\) 9.47227 10.5200i 0.720164 0.799823i −0.266285 0.963894i \(-0.585796\pi\)
0.986448 + 0.164072i \(0.0524629\pi\)
\(174\) −2.99478 3.32604i −0.227034 0.252146i
\(175\) −0.174022 + 1.65571i −0.0131548 + 0.125160i
\(176\) −4.88335 + 1.03799i −0.368096 + 0.0782412i
\(177\) −6.25408 2.78450i −0.470085 0.209295i
\(178\) 4.00973 2.91324i 0.300542 0.218356i
\(179\) −0.518074 + 0.230661i −0.0387227 + 0.0172404i −0.426007 0.904720i \(-0.640080\pi\)
0.387284 + 0.921960i \(0.373413\pi\)
\(180\) −0.366227 + 0.634324i −0.0272970 + 0.0472797i
\(181\) −5.99856 10.3898i −0.445869 0.772268i 0.552243 0.833683i \(-0.313772\pi\)
−0.998112 + 0.0614150i \(0.980439\pi\)
\(182\) 0.432897 + 0.314518i 0.0320885 + 0.0233137i
\(183\) −0.826301 0.175636i −0.0610819 0.0129834i
\(184\) 1.21422 3.73697i 0.0895132 0.275493i
\(185\) 2.14301 0.157557
\(186\) −0.0278640 3.44095i −0.00204309 0.252303i
\(187\) −0.960362 −0.0702286
\(188\) 3.04965 9.38587i 0.222419 0.684535i
\(189\) 1.14882 + 0.244190i 0.0835646 + 0.0177622i
\(190\) −0.218159 0.158502i −0.0158269 0.0114989i
\(191\) 3.81826 + 6.61341i 0.276279 + 0.478530i 0.970457 0.241274i \(-0.0775652\pi\)
−0.694178 + 0.719804i \(0.744232\pi\)
\(192\) 0.309017 0.535233i 0.0223014 0.0386271i
\(193\) 15.0673 6.70838i 1.08457 0.482880i 0.214958 0.976623i \(-0.431039\pi\)
0.869607 + 0.493744i \(0.164372\pi\)
\(194\) −9.83810 + 7.14780i −0.706334 + 0.513182i
\(195\) 0.249875 + 0.111252i 0.0178939 + 0.00796689i
\(196\) 6.73511 1.43159i 0.481079 0.102257i
\(197\) 0.906052 8.62050i 0.0645535 0.614186i −0.913645 0.406513i \(-0.866745\pi\)
0.978198 0.207672i \(-0.0665888\pi\)
\(198\) −8.74580 9.71319i −0.621537 0.690286i
\(199\) −8.14923 + 9.05063i −0.577683 + 0.641582i −0.959183 0.282787i \(-0.908741\pi\)
0.381499 + 0.924369i \(0.375408\pi\)
\(200\) 0.514461 + 4.89477i 0.0363779 + 0.346112i
\(201\) 1.25733 + 3.86966i 0.0886852 + 0.272945i
\(202\) −1.50282 4.62521i −0.105738 0.325429i
\(203\) 0.256052 + 2.43617i 0.0179713 + 0.170986i
\(204\) 0.0795509 0.0883502i 0.00556968 0.00618575i
\(205\) −1.53783 1.70793i −0.107407 0.119287i
\(206\) −0.780851 + 7.42930i −0.0544045 + 0.517624i
\(207\) 10.0622 2.13879i 0.699372 0.148656i
\(208\) 1.44512 + 0.643411i 0.100201 + 0.0446125i
\(209\) 3.89297 2.82841i 0.269282 0.195645i
\(210\) −0.0534318 + 0.0237894i −0.00368715 + 0.00164162i
\(211\) −0.495330 + 0.857936i −0.0340999 + 0.0590627i −0.882572 0.470178i \(-0.844190\pi\)
0.848472 + 0.529241i \(0.177523\pi\)
\(212\) −4.70071 8.14187i −0.322846 0.559186i
\(213\) −2.85916 2.07730i −0.195906 0.142334i
\(214\) −2.71613 0.577330i −0.185671 0.0394655i
\(215\) −0.296569 + 0.912744i −0.0202258 + 0.0622486i
\(216\) 3.47214 0.236249
\(217\) −1.09464 + 1.53258i −0.0743088 + 0.104039i
\(218\) 3.79968 0.257347
\(219\) −2.95804 + 9.10391i −0.199886 + 0.615185i
\(220\) 1.36623 + 0.290401i 0.0921110 + 0.0195788i
\(221\) 0.246181 + 0.178861i 0.0165599 + 0.0120315i
\(222\) −2.36702 4.09979i −0.158864 0.275160i
\(223\) −6.82817 + 11.8267i −0.457248 + 0.791977i −0.998814 0.0486812i \(-0.984498\pi\)
0.541566 + 0.840658i \(0.317832\pi\)
\(224\) −0.309017 + 0.137583i −0.0206471 + 0.00919267i
\(225\) −10.4244 + 7.57376i −0.694959 + 0.504917i
\(226\) 4.39080 + 1.95491i 0.292072 + 0.130039i
\(227\) −5.58192 + 1.18647i −0.370485 + 0.0787490i −0.389392 0.921072i \(-0.627315\pi\)
0.0189067 + 0.999821i \(0.493981\pi\)
\(228\) −0.0622669 + 0.592430i −0.00412373 + 0.0392346i
\(229\) 16.6628 + 18.5059i 1.10111 + 1.22290i 0.972917 + 0.231155i \(0.0742504\pi\)
0.128191 + 0.991749i \(0.459083\pi\)
\(230\) −0.735580 + 0.816944i −0.0485027 + 0.0538677i
\(231\) −0.109097 1.03799i −0.00717805 0.0682945i
\(232\) 2.23781 + 6.88728i 0.146920 + 0.452172i
\(233\) −4.09823 12.6130i −0.268484 0.826308i −0.990870 0.134819i \(-0.956955\pi\)
0.722386 0.691490i \(-0.243045\pi\)
\(234\) 0.432897 + 4.11874i 0.0282994 + 0.269251i
\(235\) −1.84750 + 2.05186i −0.120518 + 0.133848i
\(236\) 7.41194 + 8.23179i 0.482476 + 0.535844i
\(237\) 0.881903 8.39075i 0.0572858 0.545038i
\(238\) −0.0636471 + 0.0135286i −0.00412563 + 0.000876929i
\(239\) −19.1367 8.52022i −1.23785 0.551127i −0.319762 0.947498i \(-0.603603\pi\)
−0.918091 + 0.396371i \(0.870270\pi\)
\(240\) −0.139886 + 0.101633i −0.00902963 + 0.00656041i
\(241\) 9.95304 4.43138i 0.641132 0.285450i −0.0603070 0.998180i \(-0.519208\pi\)
0.701439 + 0.712730i \(0.252541\pi\)
\(242\) −6.96224 + 12.0590i −0.447550 + 0.775179i
\(243\) 6.97214 + 12.0761i 0.447263 + 0.774682i
\(244\) 1.10581 + 0.803416i 0.0707920 + 0.0514334i
\(245\) −1.88430 0.400521i −0.120384 0.0255883i
\(246\) −1.56887 + 4.82848i −0.100027 + 0.307853i
\(247\) −1.52470 −0.0970146
\(248\) −2.22335 + 5.10458i −0.141183 + 0.324141i
\(249\) 8.99053 0.569752
\(250\) 0.857778 2.63997i 0.0542507 0.166966i
\(251\) −11.8564 2.52016i −0.748372 0.159071i −0.182089 0.983282i \(-0.558286\pi\)
−0.566283 + 0.824211i \(0.691619\pi\)
\(252\) −0.716449 0.520530i −0.0451320 0.0327903i
\(253\) −9.80836 16.9886i −0.616647 1.06806i
\(254\) −0.929874 + 1.61059i −0.0583455 + 0.101057i
\(255\) −0.0303857 + 0.0135286i −0.00190283 + 0.000847194i
\(256\) −0.809017 + 0.587785i −0.0505636 + 0.0367366i
\(257\) −24.7189 11.0055i −1.54192 0.686507i −0.552759 0.833341i \(-0.686425\pi\)
−0.989161 + 0.146834i \(0.953092\pi\)
\(258\) 2.07374 0.440787i 0.129105 0.0274422i
\(259\) −0.270836 + 2.57683i −0.0168289 + 0.160116i
\(260\) −0.296136 0.328893i −0.0183656 0.0203971i
\(261\) −12.6861 + 14.0893i −0.785249 + 0.872107i
\(262\) 1.44699 + 13.7672i 0.0893955 + 0.850542i
\(263\) −1.06753 3.28551i −0.0658266 0.202593i 0.912733 0.408556i \(-0.133967\pi\)
−0.978560 + 0.205963i \(0.933967\pi\)
\(264\) −0.953472 2.93448i −0.0586821 0.180605i
\(265\) 0.274937 + 2.61585i 0.0168893 + 0.160691i
\(266\) 0.218159 0.242290i 0.0133762 0.0148558i
\(267\) 2.04965 + 2.27637i 0.125437 + 0.139312i
\(268\) 0.688160 6.54740i 0.0420360 0.399946i
\(269\) −7.61028 + 1.61761i −0.464007 + 0.0986277i −0.433982 0.900921i \(-0.642892\pi\)
−0.0300246 + 0.999549i \(0.509559\pi\)
\(270\) −0.887426 0.395108i −0.0540070 0.0240455i
\(271\) 22.4095 16.2815i 1.36128 0.989030i 0.362920 0.931820i \(-0.381780\pi\)
0.998362 0.0572095i \(-0.0182203\pi\)
\(272\) −0.175733 + 0.0782412i −0.0106553 + 0.00474407i
\(273\) −0.165352 + 0.286398i −0.0100076 + 0.0173336i
\(274\) 3.57528 + 6.19257i 0.215991 + 0.374107i
\(275\) 19.8787 + 14.4427i 1.19873 + 0.870929i
\(276\) 2.37536 + 0.504899i 0.142980 + 0.0303914i
\(277\) −1.74238 + 5.36250i −0.104690 + 0.322201i −0.989657 0.143451i \(-0.954180\pi\)
0.884968 + 0.465652i \(0.154180\pi\)
\(278\) −6.58095 −0.394699
\(279\) −14.4839 + 1.64101i −0.867130 + 0.0982445i
\(280\) 0.0946363 0.00565560
\(281\) 6.79857 20.9239i 0.405569 1.24821i −0.514850 0.857280i \(-0.672153\pi\)
0.920419 0.390933i \(-0.127847\pi\)
\(282\) 5.96602 + 1.26812i 0.355271 + 0.0755153i
\(283\) −17.3497 12.6053i −1.03133 0.749307i −0.0627572 0.998029i \(-0.519989\pi\)
−0.968575 + 0.248722i \(0.919989\pi\)
\(284\) 2.85916 + 4.95221i 0.169660 + 0.293859i
\(285\) 0.0833294 0.144331i 0.00493601 0.00854942i
\(286\) 7.21470 3.21219i 0.426614 0.189941i
\(287\) 2.24803 1.63329i 0.132697 0.0964099i
\(288\) −2.39169 1.06485i −0.140932 0.0627469i
\(289\) 16.5923 3.52681i 0.976018 0.207459i
\(290\) 0.211778 2.01494i 0.0124360 0.118321i
\(291\) −5.02894 5.58521i −0.294802 0.327411i
\(292\) 10.3638 11.5102i 0.606497 0.673583i
\(293\) −0.973681 9.26396i −0.0568831 0.541206i −0.985441 0.170018i \(-0.945617\pi\)
0.928558 0.371188i \(-0.121049\pi\)
\(294\) 1.31503 + 4.04724i 0.0766940 + 0.236040i
\(295\) −0.957654 2.94736i −0.0557568 0.171602i
\(296\) 0.800670 + 7.61787i 0.0465380 + 0.442780i
\(297\) 11.5990 12.8820i 0.673043 0.747489i
\(298\) −12.6375 14.0354i −0.732070 0.813046i
\(299\) −0.649715 + 6.18163i −0.0375740 + 0.357493i
\(300\) −2.97532 + 0.632425i −0.171780 + 0.0365131i
\(301\) −1.06003 0.471957i −0.0610993 0.0272032i
\(302\) 0.179813 0.130642i 0.0103471 0.00751758i
\(303\) 2.74580 1.22251i 0.157742 0.0702312i
\(304\) 0.481926 0.834720i 0.0276404 0.0478745i
\(305\) −0.191204 0.331175i −0.0109483 0.0189630i
\(306\) −0.407432 0.296016i −0.0232913 0.0169221i
\(307\) 25.2442 + 5.36582i 1.44076 + 0.306243i 0.861026 0.508561i \(-0.169822\pi\)
0.579736 + 0.814804i \(0.303156\pi\)
\(308\) −0.521852 + 1.60610i −0.0297353 + 0.0915158i
\(309\) −4.61685 −0.262644
\(310\) 1.14913 1.05165i 0.0652659 0.0597297i
\(311\) −29.2234 −1.65711 −0.828553 0.559911i \(-0.810835\pi\)
−0.828553 + 0.559911i \(0.810835\pi\)
\(312\) −0.302113 + 0.929809i −0.0171038 + 0.0526401i
\(313\) 15.9274 + 3.38546i 0.900267 + 0.191358i 0.634722 0.772741i \(-0.281115\pi\)
0.265545 + 0.964098i \(0.414448\pi\)
\(314\) 17.8250 + 12.9506i 1.00592 + 0.730846i
\(315\) 0.123880 + 0.214567i 0.00697988 + 0.0120895i
\(316\) −6.82565 + 11.8224i −0.383973 + 0.665060i
\(317\) 19.2030 8.54973i 1.07855 0.480201i 0.210965 0.977494i \(-0.432339\pi\)
0.867583 + 0.497293i \(0.165673\pi\)
\(318\) 4.70071 3.41527i 0.263603 0.191519i
\(319\) 33.0282 + 14.7051i 1.84922 + 0.823327i
\(320\) 0.273659 0.0581680i 0.0152980 0.00325169i
\(321\) 0.179388 1.70676i 0.0100124 0.0952620i
\(322\) −0.889358 0.987732i −0.0495620 0.0550441i
\(323\) 0.124063 0.137786i 0.00690307 0.00766663i
\(324\) −0.596670 5.67693i −0.0331483 0.315385i
\(325\) −2.40589 7.40456i −0.133455 0.410731i
\(326\) −6.00680 18.4870i −0.332686 1.02390i
\(327\) 0.245468 + 2.33547i 0.0135744 + 0.129152i
\(328\) 5.49671 6.10471i 0.303505 0.337076i
\(329\) −2.23373 2.48081i −0.123150 0.136772i
\(330\) −0.0902330 + 0.858510i −0.00496716 + 0.0472594i
\(331\) −0.853877 + 0.181497i −0.0469333 + 0.00997598i −0.231318 0.972878i \(-0.574304\pi\)
0.184385 + 0.982854i \(0.440971\pi\)
\(332\) −13.2893 5.91679i −0.729347 0.324726i
\(333\) −16.2238 + 11.7873i −0.889058 + 0.645938i
\(334\) 1.99255 0.887138i 0.109027 0.0485420i
\(335\) −0.920937 + 1.59511i −0.0503162 + 0.0871502i
\(336\) −0.104528 0.181049i −0.00570250 0.00987701i
\(337\) −4.21628 3.06331i −0.229676 0.166869i 0.466996 0.884260i \(-0.345336\pi\)
−0.696671 + 0.717391i \(0.745336\pi\)
\(338\) 10.2682 + 2.18258i 0.558518 + 0.118717i
\(339\) −0.917927 + 2.82509i −0.0498550 + 0.153438i
\(340\) 0.0538180 0.00291869
\(341\) 11.5112 + 25.3012i 0.623367 + 1.37014i
\(342\) 2.52340 0.136450
\(343\) 1.45144 4.46707i 0.0783703 0.241199i
\(344\) −3.35538 0.713208i −0.180910 0.0384536i
\(345\) −0.549653 0.399347i −0.0295923 0.0215001i
\(346\) −7.07804 12.2595i −0.380518 0.659077i
\(347\) −2.38286 + 4.12723i −0.127919 + 0.221561i −0.922870 0.385112i \(-0.874163\pi\)
0.794951 + 0.606673i \(0.207496\pi\)
\(348\) −4.08869 + 1.82040i −0.219177 + 0.0975837i
\(349\) −10.8414 + 7.87670i −0.580324 + 0.421630i −0.838841 0.544377i \(-0.816766\pi\)
0.258517 + 0.966007i \(0.416766\pi\)
\(350\) 1.52090 + 0.677147i 0.0812954 + 0.0361950i
\(351\) −5.37250 + 1.14196i −0.286763 + 0.0609533i
\(352\) −0.521852 + 4.96509i −0.0278148 + 0.264640i
\(353\) 7.59887 + 8.43941i 0.404447 + 0.449184i 0.910618 0.413249i \(-0.135606\pi\)
−0.506171 + 0.862433i \(0.668939\pi\)
\(354\) −4.58083 + 5.08753i −0.243468 + 0.270399i
\(355\) −0.167228 1.59107i −0.00887553 0.0844450i
\(356\) −1.53158 4.71372i −0.0811735 0.249826i
\(357\) −0.0124271 0.0382466i −0.000657710 0.00202422i
\(358\) 0.0592784 + 0.563996i 0.00313296 + 0.0298081i
\(359\) −13.4619 + 14.9509i −0.710490 + 0.789079i −0.985009 0.172503i \(-0.944815\pi\)
0.274519 + 0.961582i \(0.411481\pi\)
\(360\) 0.490108 + 0.544320i 0.0258309 + 0.0286882i
\(361\) 1.88893 17.9720i 0.0994175 0.945894i
\(362\) −11.7349 + 2.49434i −0.616775 + 0.131100i
\(363\) −7.86180 3.50030i −0.412637 0.183718i
\(364\) 0.432897 0.314518i 0.0226900 0.0164852i
\(365\) −3.95863 + 1.76250i −0.207204 + 0.0922532i
\(366\) −0.422381 + 0.731585i −0.0220782 + 0.0382405i
\(367\) 10.5270 + 18.2334i 0.549507 + 0.951775i 0.998308 + 0.0581428i \(0.0185179\pi\)
−0.448801 + 0.893632i \(0.648149\pi\)
\(368\) −3.17886 2.30958i −0.165709 0.120395i
\(369\) 21.0364 + 4.47143i 1.09511 + 0.232773i
\(370\) 0.662227 2.03813i 0.0344275 0.105957i
\(371\) −3.18014 −0.165104
\(372\) −3.28115 1.03681i −0.170120 0.0537563i
\(373\) −27.0380 −1.39997 −0.699987 0.714156i \(-0.746811\pi\)
−0.699987 + 0.714156i \(0.746811\pi\)
\(374\) −0.296768 + 0.913359i −0.0153455 + 0.0472287i
\(375\) 1.67807 + 0.356684i 0.0866550 + 0.0184191i
\(376\) −7.98410 5.80079i −0.411748 0.299153i
\(377\) −5.72778 9.92081i −0.294996 0.510948i
\(378\) 0.587244 1.01714i 0.0302046 0.0523159i
\(379\) −22.6768 + 10.0964i −1.16483 + 0.518616i −0.895775 0.444508i \(-0.853378\pi\)
−0.269056 + 0.963124i \(0.586712\pi\)
\(380\) −0.218159 + 0.158502i −0.0111913 + 0.00813098i
\(381\) −1.05002 0.467498i −0.0537941 0.0239507i
\(382\) 7.46964 1.58772i 0.382180 0.0812348i
\(383\) 3.32903 31.6736i 0.170105 1.61844i −0.493077 0.869986i \(-0.664128\pi\)
0.663182 0.748458i \(-0.269206\pi\)
\(384\) −0.413545 0.459289i −0.0211037 0.0234380i
\(385\) 0.316142 0.351111i 0.0161121 0.0178943i
\(386\) −1.72401 16.4028i −0.0877496 0.834881i
\(387\) −2.77520 8.54120i −0.141072 0.434174i
\(388\) 3.75782 + 11.5654i 0.190774 + 0.587143i
\(389\) 2.61980 + 24.9257i 0.132829 + 1.26378i 0.834390 + 0.551175i \(0.185820\pi\)
−0.701561 + 0.712610i \(0.747513\pi\)
\(390\) 0.183022 0.203267i 0.00926769 0.0102928i
\(391\) −0.505762 0.561706i −0.0255775 0.0284067i
\(392\) 0.719739 6.84786i 0.0363523 0.345869i
\(393\) −8.36852 + 1.77878i −0.422136 + 0.0897278i
\(394\) −7.91860 3.52559i −0.398933 0.177617i
\(395\) 3.08985 2.24491i 0.155467 0.112953i
\(396\) −11.9404 + 5.31620i −0.600027 + 0.267149i
\(397\) −9.64130 + 16.6992i −0.483883 + 0.838110i −0.999829 0.0185113i \(-0.994107\pi\)
0.515946 + 0.856621i \(0.327441\pi\)
\(398\) 6.08941 + 10.5472i 0.305235 + 0.528682i
\(399\) 0.163017 + 0.118439i 0.00816105 + 0.00592935i
\(400\) 4.81418 + 1.02328i 0.240709 + 0.0511642i
\(401\) −2.14757 + 6.60953i −0.107244 + 0.330064i −0.990251 0.139297i \(-0.955516\pi\)
0.883006 + 0.469361i \(0.155516\pi\)
\(402\) 4.06881 0.202934
\(403\) 1.76138 8.62965i 0.0877404 0.429873i
\(404\) −4.86324 −0.241955
\(405\) −0.493500 + 1.51884i −0.0245222 + 0.0754716i
\(406\) 2.39606 + 0.509299i 0.118915 + 0.0252761i
\(407\) 30.9378 + 22.4776i 1.53353 + 1.11418i
\(408\) −0.0594435 0.102959i −0.00294289 0.00509724i
\(409\) −13.4001 + 23.2096i −0.662591 + 1.14764i 0.317341 + 0.948311i \(0.397210\pi\)
−0.979932 + 0.199330i \(0.936123\pi\)
\(410\) −2.09956 + 0.934783i −0.103690 + 0.0461656i
\(411\) −3.57528 + 2.59760i −0.176356 + 0.128130i
\(412\) 6.82439 + 3.03841i 0.336214 + 0.149692i
\(413\) 3.66503 0.779026i 0.180344 0.0383334i
\(414\) 1.07528 10.2306i 0.0528473 0.502809i
\(415\) 2.72326 + 3.02449i 0.133680 + 0.148466i
\(416\) 1.05849 1.17557i 0.0518967 0.0576371i
\(417\) −0.425144 4.04497i −0.0208194 0.198083i
\(418\) −1.48698 4.57646i −0.0727307 0.223842i
\(419\) 0.331596 + 1.02055i 0.0161995 + 0.0498570i 0.958830 0.283982i \(-0.0916557\pi\)
−0.942630 + 0.333839i \(0.891656\pi\)
\(420\) 0.00611371 + 0.0581680i 0.000298318 + 0.00283831i
\(421\) −1.21623 + 1.35076i −0.0592753 + 0.0658319i −0.772053 0.635558i \(-0.780770\pi\)
0.712778 + 0.701390i \(0.247437\pi\)
\(422\) 0.662880 + 0.736203i 0.0322685 + 0.0358378i
\(423\) 2.70071 25.6955i 0.131313 1.24936i
\(424\) −9.19598 + 1.95467i −0.446596 + 0.0949269i
\(425\) 0.864907 + 0.385082i 0.0419542 + 0.0186792i
\(426\) −2.85916 + 2.07730i −0.138527 + 0.100646i
\(427\) 0.422381 0.188056i 0.0204404 0.00910066i
\(428\) −1.38840 + 2.40478i −0.0671110 + 0.116240i
\(429\) 2.44045 + 4.22699i 0.117826 + 0.204081i
\(430\) 0.776427 + 0.564107i 0.0374426 + 0.0272037i
\(431\) 17.7968 + 3.78282i 0.857240 + 0.182212i 0.615508 0.788131i \(-0.288951\pi\)
0.241732 + 0.970343i \(0.422284\pi\)
\(432\) 1.07295 3.30220i 0.0516223 0.158877i
\(433\) 11.0008 0.528665 0.264333 0.964432i \(-0.414848\pi\)
0.264333 + 0.964432i \(0.414848\pi\)
\(434\) 1.11931 + 1.51466i 0.0537287 + 0.0727058i
\(435\) 1.25216 0.0600364
\(436\) 1.17417 3.61371i 0.0562323 0.173065i
\(437\) 3.70449 + 0.787413i 0.177210 + 0.0376671i
\(438\) 7.74425 + 5.62653i 0.370035 + 0.268846i
\(439\) −13.9055 24.0850i −0.663671 1.14951i −0.979644 0.200744i \(-0.935664\pi\)
0.315972 0.948768i \(-0.397669\pi\)
\(440\) 0.698375 1.20962i 0.0332937 0.0576664i
\(441\) 16.4682 7.33211i 0.784200 0.349148i
\(442\) 0.246181 0.178861i 0.0117096 0.00850755i
\(443\) 3.86379 + 1.72027i 0.183574 + 0.0817325i 0.496466 0.868056i \(-0.334631\pi\)
−0.312891 + 0.949789i \(0.601298\pi\)
\(444\) −4.63058 + 0.984261i −0.219758 + 0.0467110i
\(445\) −0.144943 + 1.37904i −0.00687096 + 0.0653728i
\(446\) 9.13787 + 10.1486i 0.432691 + 0.480552i
\(447\) 7.81040 8.67432i 0.369419 0.410281i
\(448\) 0.0353579 + 0.336408i 0.00167050 + 0.0158938i
\(449\) 4.33922 + 13.3547i 0.204780 + 0.630249i 0.999722 + 0.0235635i \(0.00750120\pi\)
−0.794942 + 0.606685i \(0.792499\pi\)
\(450\) 3.98176 + 12.2546i 0.187702 + 0.577687i
\(451\) −4.28686 40.7868i −0.201860 1.92057i
\(452\) 3.21606 3.57180i 0.151271 0.168003i
\(453\) 0.0919149 + 0.102082i 0.00431854 + 0.00479622i
\(454\) −0.596505 + 5.67536i −0.0279954 + 0.266358i
\(455\) −0.146432 + 0.0311252i −0.00686486 + 0.00145917i
\(456\) 0.544193 + 0.242290i 0.0254842 + 0.0113463i
\(457\) 18.6396 13.5424i 0.871922 0.633488i −0.0591803 0.998247i \(-0.518849\pi\)
0.931102 + 0.364759i \(0.118849\pi\)
\(458\) 22.7492 10.1286i 1.06300 0.473279i
\(459\) 0.333956 0.578428i 0.0155877 0.0269987i
\(460\) 0.549653 + 0.952028i 0.0256277 + 0.0443885i
\(461\) 0.674654 + 0.490165i 0.0314218 + 0.0228293i 0.603385 0.797450i \(-0.293818\pi\)
−0.571964 + 0.820279i \(0.693818\pi\)
\(462\) −1.02090 0.216998i −0.0474964 0.0100957i
\(463\) −3.34577 + 10.2972i −0.155491 + 0.478552i −0.998210 0.0598010i \(-0.980953\pi\)
0.842719 + 0.538353i \(0.180953\pi\)
\(464\) 7.24171 0.336188
\(465\) 0.720631 + 0.638369i 0.0334185 + 0.0296037i
\(466\) −13.2621 −0.614357
\(467\) 8.43260 25.9529i 0.390214 1.20096i −0.542413 0.840112i \(-0.682489\pi\)
0.932627 0.360843i \(-0.117511\pi\)
\(468\) 4.05093 + 0.861052i 0.187254 + 0.0398021i
\(469\) −1.80163 1.30896i −0.0831913 0.0604420i
\(470\) 1.38052 + 2.39114i 0.0636788 + 0.110295i
\(471\) −6.80855 + 11.7928i −0.313721 + 0.543381i
\(472\) 10.1193 4.50541i 0.465779 0.207378i
\(473\) −13.8550 + 10.0663i −0.637056 + 0.462848i
\(474\) −7.70755 3.43162i −0.354020 0.157620i
\(475\) −4.64015 + 0.986295i −0.212905 + 0.0452543i
\(476\) −0.00680156 + 0.0647125i −0.000311749 + 0.00296609i
\(477\) −16.4695 18.2912i −0.754085 0.837497i
\(478\) −14.0168 + 15.5672i −0.641113 + 0.712028i
\(479\) −4.00111 38.0680i −0.182816 1.73937i −0.573817 0.818983i \(-0.694538\pi\)
0.391002 0.920390i \(-0.372129\pi\)
\(480\) 0.0534318 + 0.164446i 0.00243882 + 0.00750591i
\(481\) −3.74435 11.5239i −0.170728 0.525446i
\(482\) −1.13883 10.8353i −0.0518725 0.493533i
\(483\) 0.549653 0.610452i 0.0250101 0.0277765i
\(484\) 9.31730 + 10.3479i 0.423514 + 0.470360i
\(485\) 0.355626 3.38355i 0.0161481 0.153639i
\(486\) 13.6396 2.89918i 0.618703 0.131509i
\(487\) −27.4877 12.2383i −1.24559 0.554571i −0.325225 0.945637i \(-0.605440\pi\)
−0.920363 + 0.391065i \(0.872107\pi\)
\(488\) 1.10581 0.803416i 0.0500575 0.0363689i
\(489\) 10.9750 4.88637i 0.496305 0.220969i
\(490\) −0.963199 + 1.66831i −0.0435129 + 0.0753665i
\(491\) 10.2667 + 17.7824i 0.463329 + 0.802510i 0.999124 0.0418381i \(-0.0133214\pi\)
−0.535795 + 0.844348i \(0.679988\pi\)
\(492\) 4.10735 + 2.98417i 0.185174 + 0.134537i
\(493\) 1.36260 + 0.289629i 0.0613683 + 0.0130442i
\(494\) −0.471160 + 1.45008i −0.0211985 + 0.0652422i
\(495\) 3.65674 0.164358
\(496\) 4.16769 + 3.69193i 0.187135 + 0.165773i
\(497\) 1.93428 0.0867645
\(498\) 2.77823 8.55050i 0.124495 0.383157i
\(499\) 27.0074 + 5.74060i 1.20902 + 0.256984i 0.767962 0.640496i \(-0.221271\pi\)
0.441055 + 0.897480i \(0.354604\pi\)
\(500\) −2.24569 1.63159i −0.100430 0.0729670i
\(501\) 0.674001 + 1.16740i 0.0301121 + 0.0521557i
\(502\) −6.06066 + 10.4974i −0.270500 + 0.468520i
\(503\) −14.9881 + 6.67312i −0.668285 + 0.297540i −0.712695 0.701474i \(-0.752526\pi\)
0.0444102 + 0.999013i \(0.485859\pi\)
\(504\) −0.716449 + 0.520530i −0.0319132 + 0.0231863i
\(505\) 1.24297 + 0.553407i 0.0553115 + 0.0246263i
\(506\) −19.1881 + 4.07855i −0.853013 + 0.181314i
\(507\) −0.678170 + 6.45235i −0.0301186 + 0.286559i
\(508\) 1.24441 + 1.38206i 0.0552120 + 0.0613191i
\(509\) −7.94719 + 8.82625i −0.352253 + 0.391216i −0.893066 0.449927i \(-0.851450\pi\)
0.540813 + 0.841143i \(0.318117\pi\)
\(510\) 0.00347676 + 0.0330791i 0.000153953 + 0.00146477i
\(511\) −1.61899 4.98274i −0.0716199 0.220423i
\(512\) 0.309017 + 0.951057i 0.0136568 + 0.0420312i
\(513\) 0.349818 + 3.32829i 0.0154448 + 0.146948i
\(514\) −18.1054 + 20.1081i −0.798597 + 0.886932i
\(515\) −1.39846 1.55315i −0.0616235 0.0684398i
\(516\) 0.221607 2.10845i 0.00975572 0.0928195i
\(517\) −48.1932 + 10.2438i −2.11953 + 0.450521i
\(518\) 2.36702 + 1.05386i 0.104001 + 0.0463041i
\(519\) 7.07804 5.14250i 0.310692 0.225731i
\(520\) −0.404307 + 0.180009i −0.0177300 + 0.00789391i
\(521\) 0.951727 1.64844i 0.0416959 0.0722194i −0.844424 0.535675i \(-0.820057\pi\)
0.886120 + 0.463455i \(0.153391\pi\)
\(522\) 9.47953 + 16.4190i 0.414908 + 0.718641i
\(523\) −13.6480 9.91586i −0.596786 0.433590i 0.247951 0.968773i \(-0.420243\pi\)
−0.844736 + 0.535182i \(0.820243\pi\)
\(524\) 13.5406 + 2.87813i 0.591522 + 0.125732i
\(525\) −0.317954 + 0.978562i −0.0138767 + 0.0427080i
\(526\) −3.45459 −0.150627
\(527\) 0.636533 + 0.861358i 0.0277278 + 0.0375213i
\(528\) −3.08550 −0.134279
\(529\) −2.33639 + 7.19068i −0.101582 + 0.312638i
\(530\) 2.57278 + 0.546862i 0.111755 + 0.0237542i
\(531\) 23.4614 + 17.0457i 1.01814 + 0.739720i
\(532\) −0.163017 0.282354i −0.00706768 0.0122416i
\(533\) −6.49736 + 11.2538i −0.281432 + 0.487455i
\(534\) 2.79833 1.24590i 0.121096 0.0539153i
\(535\) 0.628505 0.456635i 0.0271726 0.0197421i
\(536\) −6.01430 2.67774i −0.259778 0.115661i
\(537\) −0.342830 + 0.0728707i −0.0147942 + 0.00314460i
\(538\) −0.813262 + 7.73767i −0.0350622 + 0.333595i
\(539\) −23.0019 25.5462i −0.990764 1.10035i
\(540\) −0.650000 + 0.721898i −0.0279715 + 0.0310655i
\(541\) 2.57025 + 24.4543i 0.110504 + 1.05137i 0.899484 + 0.436954i \(0.143943\pi\)
−0.788980 + 0.614418i \(0.789391\pi\)
\(542\) −8.55968 26.3440i −0.367670 1.13157i
\(543\) −2.29124 7.05173i −0.0983267 0.302619i
\(544\) 0.0201074 + 0.191309i 0.000862099 + 0.00820232i
\(545\) −0.711317 + 0.789998i −0.0304695 + 0.0338398i
\(546\) 0.221284 + 0.245761i 0.00947010 + 0.0105176i
\(547\) −2.80413 + 26.6795i −0.119896 + 1.14073i 0.754765 + 0.655996i \(0.227751\pi\)
−0.874660 + 0.484736i \(0.838916\pi\)
\(548\) 6.99431 1.48669i 0.298782 0.0635081i
\(549\) 3.26909 + 1.45549i 0.139521 + 0.0621189i
\(550\) 19.8787 14.4427i 0.847631 0.615840i
\(551\) −6.37649 + 2.83900i −0.271648 + 0.120945i
\(552\) 1.21422 2.10308i 0.0516804 0.0895132i
\(553\) 2.30885 + 3.99905i 0.0981824 + 0.170057i
\(554\) 4.56161 + 3.31421i 0.193804 + 0.140807i
\(555\) 1.29551 + 0.275369i 0.0549914 + 0.0116888i
\(556\) −2.03363 + 6.25886i −0.0862450 + 0.265435i
\(557\) 33.5441 1.42131 0.710655 0.703540i \(-0.248398\pi\)
0.710655 + 0.703540i \(0.248398\pi\)
\(558\) −2.91509 + 14.2821i −0.123406 + 0.604611i
\(559\) 5.42641 0.229513
\(560\) 0.0292442 0.0900044i 0.00123579 0.00380338i
\(561\) −0.580566 0.123403i −0.0245115 0.00521009i
\(562\) −17.7989 12.9317i −0.750801 0.545489i
\(563\) 4.32620 + 7.49320i 0.182328 + 0.315801i 0.942673 0.333719i \(-0.108304\pi\)
−0.760345 + 0.649519i \(0.774970\pi\)
\(564\) 3.04965 5.28215i 0.128414 0.222419i
\(565\) −1.22843 + 0.546931i −0.0516803 + 0.0230096i
\(566\) −17.3497 + 12.6053i −0.729262 + 0.529840i
\(567\) −1.76393 0.785353i −0.0740782 0.0329817i
\(568\) 5.59336 1.18890i 0.234692 0.0498853i
\(569\) −1.04120 + 9.90640i −0.0436496 + 0.415298i 0.950778 + 0.309874i \(0.100287\pi\)
−0.994427 + 0.105424i \(0.966380\pi\)
\(570\) −0.111517 0.123852i −0.00467091 0.00518757i
\(571\) 20.7401 23.0343i 0.867948 0.963954i −0.131679 0.991292i \(-0.542037\pi\)
0.999626 + 0.0273390i \(0.00870334\pi\)
\(572\) −0.825511 7.85421i −0.0345164 0.328401i
\(573\) 1.45844 + 4.48863i 0.0609274 + 0.187515i
\(574\) −0.858670 2.64272i −0.0358402 0.110305i
\(575\) 2.02146 + 19.2329i 0.0843008 + 0.802068i
\(576\) −1.75181 + 1.94558i −0.0729919 + 0.0810658i
\(577\) −12.5362 13.9229i −0.521890 0.579617i 0.423361 0.905961i \(-0.360850\pi\)
−0.945251 + 0.326344i \(0.894183\pi\)
\(578\) 1.77312 16.8701i 0.0737519 0.701702i
\(579\) 9.97059 2.11931i 0.414364 0.0880757i
\(580\) −1.85087 0.824063i −0.0768534 0.0342173i
\(581\) −3.98092 + 2.89230i −0.165156 + 0.119993i
\(582\) −6.86588 + 3.05688i −0.284600 + 0.126712i
\(583\) −23.4680 + 40.6478i −0.971946 + 1.68346i
\(584\) −7.74425 13.4134i −0.320459 0.555052i
\(585\) −0.937376 0.681043i −0.0387557 0.0281577i
\(586\) −9.11143 1.93669i −0.376390 0.0800041i
\(587\) −4.42628 + 13.6227i −0.182692 + 0.562269i −0.999901 0.0140729i \(-0.995520\pi\)
0.817209 + 0.576342i \(0.195520\pi\)
\(588\) 4.25552 0.175495
\(589\) −5.11711 1.61696i −0.210847 0.0666256i
\(590\) −3.09903 −0.127585
\(591\) 1.65544 5.09492i 0.0680956 0.209577i
\(592\) 7.49244 + 1.59257i 0.307938 + 0.0654541i
\(593\) −4.22612 3.07046i −0.173546 0.126089i 0.497622 0.867394i \(-0.334207\pi\)
−0.671167 + 0.741306i \(0.734207\pi\)
\(594\) −8.66722 15.0121i −0.355620 0.615953i
\(595\) 0.00910227 0.0157656i 0.000373157 0.000646326i
\(596\) −17.2536 + 7.68180i −0.706735 + 0.314659i
\(597\) −6.08941 + 4.42422i −0.249223 + 0.181071i
\(598\) 5.67831 + 2.52814i 0.232203 + 0.103384i
\(599\) 10.1686 2.16141i 0.415479 0.0883129i 0.00457113 0.999990i \(-0.498545\pi\)
0.410908 + 0.911677i \(0.365212\pi\)
\(600\) −0.317954 + 3.02513i −0.0129804 + 0.123500i
\(601\) 14.6284 + 16.2464i 0.596703 + 0.662706i 0.963535 0.267581i \(-0.0862244\pi\)
−0.366832 + 0.930287i \(0.619558\pi\)
\(602\) −0.776427 + 0.862309i −0.0316448 + 0.0351451i
\(603\) −1.80163 17.1413i −0.0733678 0.698048i
\(604\) −0.0686823 0.211383i −0.00279464 0.00860103i
\(605\) −1.20384 3.70502i −0.0489429 0.150631i
\(606\) −0.314176 2.98918i −0.0127625 0.121427i
\(607\) 1.52315 1.69163i 0.0618227 0.0686610i −0.711440 0.702747i \(-0.751957\pi\)
0.773263 + 0.634086i \(0.218623\pi\)
\(608\) −0.644943 0.716282i −0.0261559 0.0290491i
\(609\) −0.158249 + 1.50564i −0.00641257 + 0.0610115i
\(610\) −0.374051 + 0.0795071i −0.0151449 + 0.00321915i
\(611\) 14.2618 + 6.34975i 0.576970 + 0.256883i
\(612\) −0.407432 + 0.296016i −0.0164695 + 0.0119658i
\(613\) 25.8697 11.5179i 1.04487 0.465205i 0.188772 0.982021i \(-0.439549\pi\)
0.856097 + 0.516816i \(0.172883\pi\)
\(614\) 12.9041 22.3505i 0.520766 0.901994i
\(615\) −0.710198 1.23010i −0.0286380 0.0496024i
\(616\) 1.36623 + 0.992622i 0.0550469 + 0.0399939i
\(617\) 5.91651 + 1.25759i 0.238190 + 0.0506288i 0.325460 0.945556i \(-0.394481\pi\)
−0.0872699 + 0.996185i \(0.527814\pi\)
\(618\) −1.42669 + 4.39089i −0.0573897 + 0.176627i
\(619\) −31.1721 −1.25291 −0.626457 0.779456i \(-0.715495\pi\)
−0.626457 + 0.779456i \(0.715495\pi\)
\(620\) −0.645080 1.41786i −0.0259070 0.0569427i
\(621\) 13.6430 0.547475
\(622\) −9.03052 + 27.7931i −0.362091 + 1.11440i
\(623\) −1.63989 0.348569i −0.0657007 0.0139651i
\(624\) 0.790943 + 0.574654i 0.0316631 + 0.0230046i
\(625\) −11.9160 20.6391i −0.476641 0.825566i
\(626\) 8.14159 14.1016i 0.325403 0.563615i
\(627\) 2.71685 1.20962i 0.108501 0.0483076i
\(628\) 17.8250 12.9506i 0.711296 0.516786i
\(629\) 1.34608 + 0.599314i 0.0536718 + 0.0238962i
\(630\) 0.242347 0.0515124i 0.00965533 0.00205230i
\(631\) 1.94657 18.5204i 0.0774917 0.737284i −0.884930 0.465724i \(-0.845794\pi\)
0.962422 0.271560i \(-0.0875394\pi\)
\(632\) 9.13450 + 10.1449i 0.363351 + 0.403542i
\(633\) −0.409683 + 0.454999i −0.0162834 + 0.0180846i
\(634\) −2.19722 20.9052i −0.0872628 0.830250i
\(635\) −0.160784 0.494841i −0.00638051 0.0196372i
\(636\) −1.79551 5.52602i −0.0711967 0.219121i
\(637\) 1.13855 + 10.8325i 0.0451108 + 0.429201i
\(638\) 24.1916 26.8675i 0.957756 1.06370i
\(639\) 10.0174 + 11.1254i 0.396282 + 0.440115i
\(640\) 0.0292442 0.278240i 0.00115598 0.0109984i
\(641\) −22.6529 + 4.81501i −0.894734 + 0.190182i −0.632259 0.774757i \(-0.717872\pi\)
−0.262475 + 0.964939i \(0.584539\pi\)
\(642\) −1.56779 0.698025i −0.0618758 0.0275489i
\(643\) −28.3535 + 20.6001i −1.11815 + 0.812387i −0.983928 0.178564i \(-0.942855\pi\)
−0.134226 + 0.990951i \(0.542855\pi\)
\(644\) −1.21422 + 0.540604i −0.0478468 + 0.0213028i
\(645\) −0.296569 + 0.513672i −0.0116774 + 0.0202258i
\(646\) −0.0927048 0.160569i −0.00364742 0.00631752i
\(647\) 15.0612 + 10.9426i 0.592119 + 0.430199i 0.843073 0.537800i \(-0.180744\pi\)
−0.250954 + 0.967999i \(0.580744\pi\)
\(648\) −5.58347 1.18680i −0.219339 0.0466220i
\(649\) 17.0890 52.5945i 0.670801 2.06451i
\(650\) −7.78561 −0.305377
\(651\) −0.858670 + 0.785833i −0.0336539 + 0.0307992i
\(652\) −19.4384 −0.761267
\(653\) −0.479918 + 1.47704i −0.0187807 + 0.0578009i −0.960008 0.279974i \(-0.909674\pi\)
0.941227 + 0.337775i \(0.109674\pi\)
\(654\) 2.29702 + 0.488246i 0.0898204 + 0.0190919i
\(655\) −3.13325 2.27644i −0.122426 0.0889478i
\(656\) −4.10735 7.11414i −0.160365 0.277761i
\(657\) 20.2747 35.1168i 0.790992 1.37004i
\(658\) −3.04965 + 1.35779i −0.118888 + 0.0529323i
\(659\) 17.4518 12.6795i 0.679824 0.493921i −0.193475 0.981105i \(-0.561976\pi\)
0.873299 + 0.487184i \(0.161976\pi\)
\(660\) 0.788608 + 0.351111i 0.0306965 + 0.0136670i
\(661\) 27.9440 5.93968i 1.08690 0.231027i 0.370578 0.928801i \(-0.379160\pi\)
0.716317 + 0.697775i \(0.245826\pi\)
\(662\) −0.0912484 + 0.868170i −0.00354647 + 0.0337424i
\(663\) 0.125840 + 0.139760i 0.00488724 + 0.00542783i
\(664\) −9.73383 + 10.8105i −0.377746 + 0.419529i
\(665\) 0.00953460 + 0.0907157i 0.000369736 + 0.00351780i
\(666\) 6.19693 + 19.0722i 0.240126 + 0.739033i
\(667\) 8.79300 + 27.0621i 0.340466 + 1.04785i
\(668\) −0.227988 2.16916i −0.00882113 0.0839275i
\(669\) −5.64752 + 6.27220i −0.218346 + 0.242497i
\(670\) 1.23245 + 1.36878i 0.0476139 + 0.0528806i
\(671\) 0.713295 6.78655i 0.0275364 0.261992i
\(672\) −0.204489 + 0.0434654i −0.00788832 + 0.00167671i
\(673\) 26.4175 + 11.7618i 1.01832 + 0.453385i 0.846865 0.531807i \(-0.178487\pi\)
0.171454 + 0.985192i \(0.445154\pi\)
\(674\) −4.21628 + 3.06331i −0.162405 + 0.117994i
\(675\) −15.6115 + 6.95068i −0.600887 + 0.267532i
\(676\) 5.24882 9.09122i 0.201878 0.349662i
\(677\) −12.4962 21.6440i −0.480268 0.831848i 0.519476 0.854485i \(-0.326127\pi\)
−0.999744 + 0.0226369i \(0.992794\pi\)
\(678\) 2.40317 + 1.74600i 0.0922930 + 0.0670548i
\(679\) 4.02356 + 0.855233i 0.154410 + 0.0328208i
\(680\) 0.0166307 0.0511839i 0.000637757 0.00196281i
\(681\) −3.52689 −0.135151
\(682\) 27.6200 3.12931i 1.05763 0.119827i
\(683\) 8.21442 0.314316 0.157158 0.987573i \(-0.449767\pi\)
0.157158 + 0.987573i \(0.449767\pi\)
\(684\) 0.779773 2.39989i 0.0298154 0.0917622i
\(685\) −1.95682 0.415934i −0.0747662 0.0158920i
\(686\) −3.79991 2.76080i −0.145081 0.105408i
\(687\) 7.69519 + 13.3285i 0.293590 + 0.508512i
\(688\) −1.71517 + 2.97076i −0.0653903 + 0.113259i
\(689\) 13.5862 6.04898i 0.517594 0.230448i
\(690\) −0.549653 + 0.399347i −0.0209249 + 0.0152029i
\(691\) 23.2422 + 10.3481i 0.884173 + 0.393659i 0.798026 0.602623i \(-0.205878\pi\)
0.0861473 + 0.996282i \(0.472544\pi\)
\(692\) −13.8467 + 2.94322i −0.526374 + 0.111884i
\(693\) −0.462142 + 4.39698i −0.0175553 + 0.167028i
\(694\) 3.18889 + 3.54162i 0.121048 + 0.134438i
\(695\) 1.23198 1.36826i 0.0467318 0.0519009i
\(696\) 0.467830 + 4.45111i 0.0177331 + 0.168719i
\(697\) −0.488311 1.50287i −0.0184961 0.0569251i
\(698\) 4.14103 + 12.7448i 0.156740 + 0.482397i
\(699\) −0.856763 8.15156i −0.0324058 0.308320i
\(700\) 1.11399 1.23721i 0.0421048 0.0467621i
\(701\) −15.1069 16.7779i −0.570581 0.633694i 0.386924 0.922112i \(-0.373538\pi\)
−0.957505 + 0.288417i \(0.906871\pi\)
\(702\) −0.574125 + 5.46244i −0.0216690 + 0.206166i
\(703\) −7.22161 + 1.53500i −0.272368 + 0.0578936i
\(704\) 4.56082 + 2.03061i 0.171893 + 0.0765315i
\(705\) −1.38052 + 1.00301i −0.0519935 + 0.0377755i
\(706\) 10.3745 4.61904i 0.390451 0.173840i
\(707\) −0.822523 + 1.42465i −0.0309341 + 0.0535795i
\(708\) 3.42297 + 5.92876i 0.128643 + 0.222816i
\(709\) −15.2634 11.0895i −0.573228 0.416475i 0.263048 0.964783i \(-0.415272\pi\)
−0.836276 + 0.548308i \(0.815272\pi\)
\(710\) −1.56487 0.332623i −0.0587285 0.0124831i
\(711\) −11.0441 + 33.9903i −0.414187 + 1.27474i
\(712\) −4.95630 −0.185745
\(713\) −8.73618 + 20.0573i −0.327173 + 0.751153i
\(714\) −0.0402149 −0.00150500
\(715\) −0.682773 + 2.10136i −0.0255343 + 0.0785863i
\(716\) 0.554710 + 0.117907i 0.0207305 + 0.00440640i
\(717\) −10.4739 7.60972i −0.391154 0.284190i
\(718\) 10.0592 + 17.4231i 0.375407 + 0.650223i
\(719\) −13.3514 + 23.1254i −0.497925 + 0.862431i −0.999997 0.00239486i \(-0.999238\pi\)
0.502073 + 0.864825i \(0.332571\pi\)
\(720\) 0.669131 0.297916i 0.0249370 0.0111027i
\(721\) 2.04430 1.48527i 0.0761335 0.0553142i
\(722\) −16.5087 7.35013i −0.614389 0.273544i
\(723\) 6.58632 1.39996i 0.244948 0.0520652i
\(724\) −1.25404 + 11.9314i −0.0466060 + 0.443427i
\(725\) −23.8490 26.4870i −0.885729 0.983702i
\(726\) −5.75841 + 6.39536i −0.213715 + 0.237354i
\(727\) 3.03503 + 28.8764i 0.112563 + 1.07096i 0.894334 + 0.447400i \(0.147650\pi\)
−0.781771 + 0.623565i \(0.785684\pi\)
\(728\) −0.165352 0.508902i −0.00612836 0.0188611i
\(729\) −2.62868 8.09024i −0.0973584 0.299638i
\(730\) 0.452949 + 4.30952i 0.0167644 + 0.159503i
\(731\) −0.441540 + 0.490380i −0.0163310 + 0.0181374i
\(732\) 0.565255 + 0.627780i 0.0208924 + 0.0232034i
\(733\) −1.96841 + 18.7282i −0.0727050 + 0.691742i 0.896089 + 0.443875i \(0.146396\pi\)
−0.968794 + 0.247867i \(0.920270\pi\)
\(734\) 20.5940 4.37739i 0.760139 0.161572i
\(735\) −1.08765 0.484252i −0.0401185 0.0178619i
\(736\) −3.17886 + 2.30958i −0.117174 + 0.0851321i
\(737\) −30.0260 + 13.3684i −1.10602 + 0.492433i
\(738\) 10.7532 18.6251i 0.395830 0.685598i
\(739\) −24.5847 42.5819i −0.904362 1.56640i −0.821771 0.569818i \(-0.807014\pi\)
−0.0825913 0.996584i \(-0.526320\pi\)
\(740\) −1.73373 1.25963i −0.0637333 0.0463049i
\(741\) −0.921727 0.195919i −0.0338605 0.00719727i
\(742\) −0.982716 + 3.02449i −0.0360766 + 0.111032i
\(743\) 23.9942 0.880263 0.440131 0.897933i \(-0.354932\pi\)
0.440131 + 0.897933i \(0.354932\pi\)
\(744\) −2.00000 + 2.80017i −0.0733236 + 0.102659i
\(745\) 5.28391 0.193587
\(746\) −8.35519 + 25.7146i −0.305905 + 0.941480i
\(747\) −37.2523 7.91821i −1.36299 0.289712i
\(748\) 0.776949 + 0.564487i 0.0284081 + 0.0206397i
\(749\) 0.469643 + 0.813445i 0.0171604 + 0.0297226i
\(750\) 0.857778 1.48572i 0.0313216 0.0542507i
\(751\) 1.43246 0.637772i 0.0522712 0.0232726i −0.380435 0.924808i \(-0.624226\pi\)
0.432706 + 0.901535i \(0.357559\pi\)
\(752\) −7.98410 + 5.80079i −0.291150 + 0.211533i
\(753\) −6.84372 3.04702i −0.249399 0.111040i
\(754\) −11.2052 + 2.38175i −0.408071 + 0.0867381i
\(755\) −0.00649984 + 0.0618419i −0.000236553 + 0.00225066i
\(756\) −0.785886 0.872815i −0.0285824 0.0317440i
\(757\) 9.79518 10.8787i 0.356012 0.395391i −0.538360 0.842715i \(-0.680956\pi\)
0.894372 + 0.447323i \(0.147623\pi\)
\(758\) 2.59470 + 24.6869i 0.0942437 + 0.896669i
\(759\) −3.74646 11.5304i −0.135988 0.418528i
\(760\) 0.0833294 + 0.256462i 0.00302267 + 0.00930284i
\(761\) 3.03046 + 28.8329i 0.109854 + 1.04519i 0.901075 + 0.433663i \(0.142779\pi\)
−0.791221 + 0.611530i \(0.790554\pi\)
\(762\) −0.769091 + 0.854162i −0.0278612 + 0.0309430i
\(763\) −0.860023 0.955153i −0.0311349 0.0345788i
\(764\) 0.798233 7.59468i 0.0288791 0.274766i
\(765\) 0.137818 0.0292942i 0.00498283 0.00105913i
\(766\) −29.0946 12.9538i −1.05123 0.468039i
\(767\) −14.1760 + 10.2995i −0.511866 + 0.371892i
\(768\) −0.564602 + 0.251377i −0.0203733 + 0.00907079i
\(769\) 0.550545 0.953573i 0.0198532 0.0343867i −0.855928 0.517095i \(-0.827013\pi\)
0.875781 + 0.482708i \(0.160347\pi\)
\(770\) −0.236233 0.409168i −0.00851325 0.0147454i
\(771\) −13.5291 9.82945i −0.487238 0.353999i