Properties

Label 576.2.bm.a.205.31
Level $576$
Weight $2$
Character 576.205
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 205.31
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.31

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.775373 - 1.18271i) q^{2} +(0.720990 + 1.57486i) q^{3} +(-0.797593 + 1.83408i) q^{4} +(-0.992718 - 1.13198i) q^{5} +(1.30356 - 2.07382i) q^{6} +(-1.51707 - 0.199726i) q^{7} +(2.78761 - 0.478776i) q^{8} +(-1.96035 + 2.27091i) q^{9} +O(q^{10})\) \(q+(-0.775373 - 1.18271i) q^{2} +(0.720990 + 1.57486i) q^{3} +(-0.797593 + 1.83408i) q^{4} +(-0.992718 - 1.13198i) q^{5} +(1.30356 - 2.07382i) q^{6} +(-1.51707 - 0.199726i) q^{7} +(2.78761 - 0.478776i) q^{8} +(-1.96035 + 2.27091i) q^{9} +(-0.569072 + 2.05180i) q^{10} +(-1.85338 - 3.75828i) q^{11} +(-3.46347 + 0.0662563i) q^{12} +(0.737900 + 2.17378i) q^{13} +(0.940075 + 1.94911i) q^{14} +(1.06696 - 2.37953i) q^{15} +(-2.72769 - 2.92570i) q^{16} +(-4.20334 - 4.20334i) q^{17} +(4.20582 + 0.557715i) q^{18} +(0.0676413 - 0.340056i) q^{19} +(2.86792 - 0.917865i) q^{20} +(-0.779250 - 2.53316i) q^{21} +(-3.00789 + 5.10608i) q^{22} +(0.115392 + 0.876493i) q^{23} +(2.76384 + 4.04490i) q^{24} +(0.356746 - 2.70976i) q^{25} +(1.99880 - 2.55821i) q^{26} +(-4.98975 - 1.44997i) q^{27} +(1.57631 - 2.62312i) q^{28} +(1.53182 - 0.100401i) q^{29} +(-3.64159 + 0.583120i) q^{30} +(-3.11702 + 1.79961i) q^{31} +(-1.34527 + 5.49457i) q^{32} +(4.58249 - 5.62849i) q^{33} +(-1.71216 + 8.23047i) q^{34} +(1.27993 + 1.91556i) q^{35} +(-2.60147 - 5.40670i) q^{36} +(-1.96962 - 9.90194i) q^{37} +(-0.454633 + 0.183670i) q^{38} +(-2.89138 + 2.72936i) q^{39} +(-3.30927 - 2.68022i) q^{40} +(-1.45873 - 11.0801i) q^{41} +(-2.39178 + 2.88577i) q^{42} +(-6.89969 + 3.40255i) q^{43} +(8.37123 - 0.401664i) q^{44} +(4.51669 - 0.0353028i) q^{45} +(0.947162 - 0.816084i) q^{46} +(5.41876 - 1.45195i) q^{47} +(2.64092 - 6.40512i) q^{48} +(-4.49988 - 1.20574i) q^{49} +(-3.48146 + 1.67914i) q^{50} +(3.58909 - 9.65022i) q^{51} +(-4.57544 - 0.380428i) q^{52} +(-1.12033 + 1.67669i) q^{53} +(2.15403 + 7.02568i) q^{54} +(-2.41441 + 5.82890i) q^{55} +(-4.32461 + 0.169578i) q^{56} +(0.584307 - 0.138651i) q^{57} +(-1.30648 - 1.73385i) q^{58} +(-2.94562 - 3.35883i) q^{59} +(3.51325 + 3.85479i) q^{60} +(0.340267 + 5.19146i) q^{61} +(4.54527 + 2.29115i) q^{62} +(3.42754 - 3.05359i) q^{63} +(7.54155 - 2.66928i) q^{64} +(1.72815 - 2.99324i) q^{65} +(-10.2100 - 1.05556i) q^{66} +(-8.96469 - 4.42089i) q^{67} +(11.0618 - 4.35670i) q^{68} +(-1.29715 + 0.813668i) q^{69} +(1.27312 - 2.99906i) q^{70} +(5.31435 + 12.8300i) q^{71} +(-4.37743 + 7.26898i) q^{72} +(-2.93403 + 7.08337i) q^{73} +(-10.1839 + 10.0072i) q^{74} +(4.52469 - 1.39188i) q^{75} +(0.569738 + 0.395285i) q^{76} +(2.06108 + 6.07173i) q^{77} +(5.46994 + 1.30338i) q^{78} +(3.55888 + 13.2819i) q^{79} +(-0.603998 + 5.99208i) q^{80} +(-1.31407 - 8.90355i) q^{81} +(-11.9735 + 10.3165i) q^{82} +(1.19012 + 1.04371i) q^{83} +(5.26754 + 0.591228i) q^{84} +(-0.585357 + 8.93081i) q^{85} +(9.37406 + 5.52207i) q^{86} +(1.26255 + 2.34002i) q^{87} +(-6.96588 - 9.58928i) q^{88} +(2.83262 - 1.17331i) q^{89} +(-3.54387 - 5.31455i) q^{90} +(-0.685283 - 3.44515i) q^{91} +(-1.69959 - 0.487446i) q^{92} +(-5.08147 - 3.61136i) q^{93} +(-5.91880 - 5.28300i) q^{94} +(-0.452084 + 0.261011i) q^{95} +(-9.62308 + 1.84292i) q^{96} +(11.6430 + 6.72212i) q^{97} +(2.06305 + 6.25694i) q^{98} +(12.1680 + 3.15868i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.775373 1.18271i −0.548272 0.836300i
\(3\) 0.720990 + 1.57486i 0.416263 + 0.909244i
\(4\) −0.797593 + 1.83408i −0.398797 + 0.917039i
\(5\) −0.992718 1.13198i −0.443957 0.506236i 0.485972 0.873974i \(-0.338466\pi\)
−0.929929 + 0.367738i \(0.880132\pi\)
\(6\) 1.30356 2.07382i 0.532176 0.846634i
\(7\) −1.51707 0.199726i −0.573397 0.0754892i −0.161749 0.986832i \(-0.551713\pi\)
−0.411648 + 0.911343i \(0.635047\pi\)
\(8\) 2.78761 0.478776i 0.985569 0.169273i
\(9\) −1.96035 + 2.27091i −0.653449 + 0.756970i
\(10\) −0.569072 + 2.05180i −0.179956 + 0.648836i
\(11\) −1.85338 3.75828i −0.558815 1.13317i −0.974652 0.223726i \(-0.928178\pi\)
0.415837 0.909439i \(-0.363489\pi\)
\(12\) −3.46347 + 0.0662563i −0.999817 + 0.0191266i
\(13\) 0.737900 + 2.17378i 0.204657 + 0.602899i 0.999995 0.00326703i \(-0.00103993\pi\)
−0.795338 + 0.606166i \(0.792707\pi\)
\(14\) 0.940075 + 1.94911i 0.251246 + 0.520921i
\(15\) 1.06696 2.37953i 0.275489 0.614393i
\(16\) −2.72769 2.92570i −0.681922 0.731424i
\(17\) −4.20334 4.20334i −1.01946 1.01946i −0.999807 0.0196524i \(-0.993744\pi\)
−0.0196524 0.999807i \(-0.506256\pi\)
\(18\) 4.20582 + 0.557715i 0.991322 + 0.131455i
\(19\) 0.0676413 0.340056i 0.0155180 0.0780141i −0.972250 0.233943i \(-0.924837\pi\)
0.987768 + 0.155929i \(0.0498371\pi\)
\(20\) 2.86792 0.917865i 0.641287 0.205241i
\(21\) −0.779250 2.53316i −0.170046 0.552781i
\(22\) −3.00789 + 5.10608i −0.641284 + 1.08862i
\(23\) 0.115392 + 0.876493i 0.0240610 + 0.182761i 0.999255 0.0385899i \(-0.0122866\pi\)
−0.975194 + 0.221351i \(0.928953\pi\)
\(24\) 2.76384 + 4.04490i 0.564167 + 0.825661i
\(25\) 0.356746 2.70976i 0.0713492 0.541951i
\(26\) 1.99880 2.55821i 0.391997 0.501707i
\(27\) −4.98975 1.44997i −0.960278 0.279046i
\(28\) 1.57631 2.62312i 0.297895 0.495723i
\(29\) 1.53182 0.100401i 0.284453 0.0186440i 0.0774909 0.996993i \(-0.475309\pi\)
0.206962 + 0.978349i \(0.433642\pi\)
\(30\) −3.64159 + 0.583120i −0.664860 + 0.106463i
\(31\) −3.11702 + 1.79961i −0.559834 + 0.323220i −0.753079 0.657930i \(-0.771432\pi\)
0.193245 + 0.981151i \(0.438099\pi\)
\(32\) −1.34527 + 5.49457i −0.237812 + 0.971311i
\(33\) 4.58249 5.62849i 0.797709 0.979795i
\(34\) −1.71216 + 8.23047i −0.293634 + 1.41151i
\(35\) 1.27993 + 1.91556i 0.216348 + 0.323788i
\(36\) −2.60147 5.40670i −0.433578 0.901116i
\(37\) −1.96962 9.90194i −0.323803 1.62787i −0.709122 0.705086i \(-0.750908\pi\)
0.385318 0.922784i \(-0.374092\pi\)
\(38\) −0.454633 + 0.183670i −0.0737513 + 0.0297952i
\(39\) −2.89138 + 2.72936i −0.462991 + 0.437048i
\(40\) −3.30927 2.68022i −0.523242 0.423781i
\(41\) −1.45873 11.0801i −0.227815 1.73042i −0.598026 0.801477i \(-0.704048\pi\)
0.370211 0.928948i \(-0.379285\pi\)
\(42\) −2.39178 + 2.88577i −0.369060 + 0.445284i
\(43\) −6.89969 + 3.40255i −1.05219 + 0.518884i −0.884299 0.466921i \(-0.845363\pi\)
−0.167894 + 0.985805i \(0.553697\pi\)
\(44\) 8.37123 0.401664i 1.26201 0.0605531i
\(45\) 4.51669 0.0353028i 0.673309 0.00526263i
\(46\) 0.947162 0.816084i 0.139651 0.120325i
\(47\) 5.41876 1.45195i 0.790408 0.211789i 0.159039 0.987272i \(-0.449160\pi\)
0.631368 + 0.775483i \(0.282494\pi\)
\(48\) 2.64092 6.40512i 0.381184 0.924499i
\(49\) −4.49988 1.20574i −0.642840 0.172248i
\(50\) −3.48146 + 1.67914i −0.492353 + 0.237467i
\(51\) 3.58909 9.65022i 0.502574 1.35130i
\(52\) −4.57544 0.380428i −0.634499 0.0527559i
\(53\) −1.12033 + 1.67669i −0.153889 + 0.230311i −0.900401 0.435061i \(-0.856727\pi\)
0.746512 + 0.665372i \(0.231727\pi\)
\(54\) 2.15403 + 7.02568i 0.293127 + 0.956074i
\(55\) −2.41441 + 5.82890i −0.325559 + 0.785969i
\(56\) −4.32461 + 0.169578i −0.577901 + 0.0226608i
\(57\) 0.584307 0.138651i 0.0773934 0.0183648i
\(58\) −1.30648 1.73385i −0.171549 0.227666i
\(59\) −2.94562 3.35883i −0.383487 0.437283i 0.527603 0.849491i \(-0.323091\pi\)
−0.911090 + 0.412208i \(0.864758\pi\)
\(60\) 3.51325 + 3.85479i 0.453558 + 0.497652i
\(61\) 0.340267 + 5.19146i 0.0435667 + 0.664699i 0.962669 + 0.270681i \(0.0872487\pi\)
−0.919103 + 0.394018i \(0.871085\pi\)
\(62\) 4.54527 + 2.29115i 0.577250 + 0.290977i
\(63\) 3.42754 3.05359i 0.431829 0.384716i
\(64\) 7.54155 2.66928i 0.942693 0.333660i
\(65\) 1.72815 2.99324i 0.214350 0.371266i
\(66\) −10.2100 1.05556i −1.25676 0.129931i
\(67\) −8.96469 4.42089i −1.09521 0.540098i −0.197330 0.980337i \(-0.563227\pi\)
−0.897881 + 0.440239i \(0.854894\pi\)
\(68\) 11.0618 4.35670i 1.34144 0.528327i
\(69\) −1.29715 + 0.813668i −0.156159 + 0.0979542i
\(70\) 1.27312 2.99906i 0.152167 0.358456i
\(71\) 5.31435 + 12.8300i 0.630697 + 1.52264i 0.838748 + 0.544520i \(0.183288\pi\)
−0.208051 + 0.978118i \(0.566712\pi\)
\(72\) −4.37743 + 7.26898i −0.515885 + 0.856658i
\(73\) −2.93403 + 7.08337i −0.343402 + 0.829046i 0.653965 + 0.756525i \(0.273104\pi\)
−0.997367 + 0.0725208i \(0.976896\pi\)
\(74\) −10.1839 + 10.0072i −1.18386 + 1.16331i
\(75\) 4.52469 1.39188i 0.522466 0.160721i
\(76\) 0.569738 + 0.395285i 0.0653535 + 0.0453423i
\(77\) 2.06108 + 6.07173i 0.234881 + 0.691938i
\(78\) 5.46994 + 1.30338i 0.619348 + 0.147579i
\(79\) 3.55888 + 13.2819i 0.400405 + 1.49433i 0.812375 + 0.583136i \(0.198174\pi\)
−0.411969 + 0.911198i \(0.635159\pi\)
\(80\) −0.603998 + 5.99208i −0.0675291 + 0.669935i
\(81\) −1.31407 8.90355i −0.146008 0.989283i
\(82\) −11.9735 + 10.3165i −1.32225 + 1.13926i
\(83\) 1.19012 + 1.04371i 0.130633 + 0.114562i 0.722169 0.691716i \(-0.243145\pi\)
−0.591537 + 0.806278i \(0.701479\pi\)
\(84\) 5.26754 + 0.591228i 0.574736 + 0.0645082i
\(85\) −0.585357 + 8.93081i −0.0634908 + 0.968683i
\(86\) 9.37406 + 5.52207i 1.01083 + 0.595460i
\(87\) 1.26255 + 2.34002i 0.135359 + 0.250876i
\(88\) −6.96588 9.58928i −0.742565 1.02222i
\(89\) 2.83262 1.17331i 0.300257 0.124370i −0.227469 0.973785i \(-0.573045\pi\)
0.527726 + 0.849415i \(0.323045\pi\)
\(90\) −3.54387 5.31455i −0.373557 0.560203i
\(91\) −0.685283 3.44515i −0.0718372 0.361150i
\(92\) −1.69959 0.487446i −0.177195 0.0508197i
\(93\) −5.08147 3.61136i −0.526924 0.374481i
\(94\) −5.91880 5.28300i −0.610477 0.544900i
\(95\) −0.452084 + 0.261011i −0.0463828 + 0.0267791i
\(96\) −9.62308 + 1.84292i −0.982151 + 0.188092i
\(97\) 11.6430 + 6.72212i 1.18217 + 0.682527i 0.956516 0.291680i \(-0.0942141\pi\)
0.225656 + 0.974207i \(0.427547\pi\)
\(98\) 2.06305 + 6.25694i 0.208399 + 0.632046i
\(99\) 12.1680 + 3.15868i 1.22293 + 0.317460i
\(100\) 4.68537 + 2.81558i 0.468537 + 0.281558i
\(101\) −11.2559 3.82086i −1.12000 0.380190i −0.300797 0.953688i \(-0.597253\pi\)
−0.819207 + 0.573498i \(0.805586\pi\)
\(102\) −14.1963 + 3.23767i −1.40564 + 0.320577i
\(103\) 6.72923 + 5.16352i 0.663050 + 0.508776i 0.884587 0.466376i \(-0.154441\pi\)
−0.221536 + 0.975152i \(0.571107\pi\)
\(104\) 3.09773 + 5.70638i 0.303758 + 0.559556i
\(105\) −2.09391 + 3.39681i −0.204345 + 0.331495i
\(106\) 2.85170 + 0.0249604i 0.276982 + 0.00242437i
\(107\) 1.32751 + 0.887013i 0.128335 + 0.0857508i 0.618081 0.786115i \(-0.287910\pi\)
−0.489746 + 0.871865i \(0.662910\pi\)
\(108\) 6.63914 7.99511i 0.638852 0.769330i
\(109\) 1.92412 9.67320i 0.184297 0.926525i −0.772332 0.635218i \(-0.780910\pi\)
0.956630 0.291306i \(-0.0940899\pi\)
\(110\) 8.76595 1.66403i 0.835801 0.158659i
\(111\) 14.1741 10.2411i 1.34534 0.972039i
\(112\) 3.55375 + 4.98327i 0.335798 + 0.470874i
\(113\) −14.2335 3.81386i −1.33898 0.358778i −0.482922 0.875663i \(-0.660425\pi\)
−0.856055 + 0.516885i \(0.827091\pi\)
\(114\) −0.617040 0.583558i −0.0577911 0.0546552i
\(115\) 0.877618 1.00073i 0.0818383 0.0933187i
\(116\) −1.03763 + 2.88957i −0.0963414 + 0.268289i
\(117\) −6.38301 2.58567i −0.590110 0.239045i
\(118\) −1.68856 + 6.08815i −0.155445 + 0.560460i
\(119\) 5.53723 + 7.21626i 0.507597 + 0.661513i
\(120\) 1.83502 7.14405i 0.167513 0.652159i
\(121\) −3.99330 + 5.20418i −0.363028 + 0.473107i
\(122\) 5.87615 4.42776i 0.532002 0.400870i
\(123\) 16.3979 10.2859i 1.47855 0.927452i
\(124\) −0.814517 7.15222i −0.0731458 0.642289i
\(125\) −9.68088 + 6.46856i −0.865884 + 0.578565i
\(126\) −6.26912 1.68610i −0.558498 0.150210i
\(127\) 5.11418 0.453810 0.226905 0.973917i \(-0.427139\pi\)
0.226905 + 0.973917i \(0.427139\pi\)
\(128\) −9.00449 6.84975i −0.795892 0.605438i
\(129\) −10.3331 8.41283i −0.909782 0.740708i
\(130\) −4.88009 + 0.276985i −0.428012 + 0.0242931i
\(131\) −5.50683 2.71567i −0.481134 0.237269i 0.185514 0.982642i \(-0.440605\pi\)
−0.666648 + 0.745372i \(0.732272\pi\)
\(132\) 6.66813 + 12.8939i 0.580387 + 1.12227i
\(133\) −0.170534 + 0.502377i −0.0147872 + 0.0435616i
\(134\) 1.72235 + 14.0304i 0.148789 + 1.21205i
\(135\) 3.31209 + 7.08769i 0.285059 + 0.610011i
\(136\) −13.7297 9.70481i −1.17731 0.832181i
\(137\) 9.45420 + 12.3210i 0.807727 + 1.05265i 0.997489 + 0.0708199i \(0.0225616\pi\)
−0.189762 + 0.981830i \(0.560772\pi\)
\(138\) 1.96811 + 0.903256i 0.167537 + 0.0768903i
\(139\) 10.5652 + 0.692477i 0.896126 + 0.0587352i 0.506502 0.862239i \(-0.330938\pi\)
0.389624 + 0.920974i \(0.372605\pi\)
\(140\) −4.53415 + 0.819665i −0.383205 + 0.0692743i
\(141\) 6.19349 + 7.48693i 0.521586 + 0.630513i
\(142\) 11.0535 16.2333i 0.927589 1.36227i
\(143\) 6.80209 6.80209i 0.568819 0.568819i
\(144\) 11.9912 0.458953i 0.999268 0.0382461i
\(145\) −1.63432 1.63432i −0.135723 0.135723i
\(146\) 10.6525 2.02216i 0.881609 0.167355i
\(147\) −1.34550 7.95599i −0.110975 0.656199i
\(148\) 19.7319 + 4.28529i 1.62195 + 0.352248i
\(149\) 1.24227 18.9533i 0.101770 1.55272i −0.576004 0.817447i \(-0.695389\pi\)
0.677774 0.735270i \(-0.262945\pi\)
\(150\) −5.15451 4.27215i −0.420864 0.348820i
\(151\) −2.24596 + 1.72338i −0.182773 + 0.140247i −0.696096 0.717949i \(-0.745081\pi\)
0.513323 + 0.858196i \(0.328414\pi\)
\(152\) 0.0257471 0.980328i 0.00208837 0.0795151i
\(153\) 17.7854 1.30540i 1.43787 0.105535i
\(154\) 5.58298 7.14551i 0.449889 0.575801i
\(155\) 5.13145 + 1.74189i 0.412168 + 0.139912i
\(156\) −2.69972 7.47994i −0.216151 0.598875i
\(157\) 5.60038 11.3564i 0.446959 0.906343i −0.550482 0.834847i \(-0.685556\pi\)
0.997441 0.0714960i \(-0.0227773\pi\)
\(158\) 12.9492 14.5076i 1.03018 1.15416i
\(159\) −3.44829 0.555481i −0.273467 0.0440525i
\(160\) 7.55520 3.93174i 0.597291 0.310831i
\(161\) 1.35274i 0.106611i
\(162\) −9.51140 + 8.45773i −0.747286 + 0.664502i
\(163\) −2.67830 4.00836i −0.209781 0.313959i 0.711626 0.702558i \(-0.247959\pi\)
−0.921407 + 0.388599i \(0.872959\pi\)
\(164\) 21.4853 + 6.16201i 1.67772 + 0.481172i
\(165\) −10.9205 + 0.400227i −0.850156 + 0.0311576i
\(166\) 0.311613 2.21682i 0.0241859 0.172059i
\(167\) 3.42356 + 2.62699i 0.264923 + 0.203283i 0.732678 0.680576i \(-0.238270\pi\)
−0.467755 + 0.883858i \(0.654937\pi\)
\(168\) −3.38506 6.68838i −0.261163 0.516020i
\(169\) 6.13275 4.70583i 0.471750 0.361987i
\(170\) 11.0164 6.23241i 0.844920 0.478004i
\(171\) 0.639635 + 0.820235i 0.0489141 + 0.0627249i
\(172\) −0.737400 15.3684i −0.0562262 1.17183i
\(173\) −0.631019 0.553388i −0.0479755 0.0420733i 0.635022 0.772494i \(-0.280991\pi\)
−0.682998 + 0.730420i \(0.739324\pi\)
\(174\) 1.78861 3.30761i 0.135594 0.250749i
\(175\) −1.08241 + 4.03963i −0.0818229 + 0.305367i
\(176\) −5.94016 + 15.6739i −0.447756 + 1.18146i
\(177\) 3.16592 7.06061i 0.237965 0.530708i
\(178\) −3.58402 2.44041i −0.268633 0.182916i
\(179\) 5.01331 + 0.997209i 0.374712 + 0.0745349i 0.378854 0.925457i \(-0.376318\pi\)
−0.00414162 + 0.999991i \(0.501318\pi\)
\(180\) −3.53774 + 8.31213i −0.263687 + 0.619549i
\(181\) 3.25863 4.87689i 0.242212 0.362496i −0.690368 0.723458i \(-0.742552\pi\)
0.932581 + 0.360962i \(0.117552\pi\)
\(182\) −3.54326 + 3.48177i −0.262644 + 0.258086i
\(183\) −7.93048 + 4.27886i −0.586238 + 0.316303i
\(184\) 0.741313 + 2.38807i 0.0546503 + 0.176051i
\(185\) −9.25351 + 12.0594i −0.680331 + 0.886625i
\(186\) −0.331145 + 8.81005i −0.0242808 + 0.645984i
\(187\) −8.00695 + 23.5877i −0.585526 + 1.72491i
\(188\) −1.65897 + 11.0965i −0.120993 + 0.809296i
\(189\) 7.28019 + 3.19627i 0.529556 + 0.232495i
\(190\) 0.659233 + 0.332302i 0.0478258 + 0.0241077i
\(191\) −9.29052 + 16.0916i −0.672238 + 1.16435i 0.305030 + 0.952343i \(0.401334\pi\)
−0.977268 + 0.212008i \(0.932000\pi\)
\(192\) 9.64111 + 9.95233i 0.695787 + 0.718248i
\(193\) 13.0045 + 22.5245i 0.936085 + 1.62135i 0.772687 + 0.634787i \(0.218912\pi\)
0.163398 + 0.986560i \(0.447754\pi\)
\(194\) −1.07741 18.9825i −0.0773534 1.36286i
\(195\) 5.95990 + 0.563491i 0.426798 + 0.0403524i
\(196\) 5.80050 7.29145i 0.414321 0.520818i
\(197\) −7.66519 + 1.52470i −0.546122 + 0.108630i −0.460438 0.887692i \(-0.652308\pi\)
−0.0856842 + 0.996322i \(0.527308\pi\)
\(198\) −5.69894 16.8403i −0.405006 1.19679i
\(199\) −5.42690 13.1017i −0.384703 0.928755i −0.991042 0.133549i \(-0.957363\pi\)
0.606339 0.795206i \(-0.292637\pi\)
\(200\) −0.302896 7.72454i −0.0214180 0.546208i
\(201\) 0.498831 17.3055i 0.0351848 1.22064i
\(202\) 4.20856 + 16.2750i 0.296113 + 1.14511i
\(203\) −2.34393 0.153629i −0.164512 0.0107827i
\(204\) 14.8366 + 14.2796i 1.03877 + 0.999774i
\(205\) −11.0943 + 12.6507i −0.774863 + 0.883562i
\(206\) 0.889269 11.9624i 0.0619583 0.833457i
\(207\) −2.21665 1.45618i −0.154068 0.101212i
\(208\) 4.34707 8.08828i 0.301415 0.560821i
\(209\) −1.40339 + 0.376037i −0.0970745 + 0.0260110i
\(210\) 5.64099 0.157313i 0.389265 0.0108556i
\(211\) −18.1761 + 6.16996i −1.25130 + 0.424758i −0.866933 0.498425i \(-0.833912\pi\)
−0.384363 + 0.923182i \(0.625579\pi\)
\(212\) −2.18161 3.39209i −0.149834 0.232969i
\(213\) −16.3738 + 17.6196i −1.12191 + 1.20728i
\(214\) 0.0197623 2.25782i 0.00135092 0.154341i
\(215\) 10.7011 + 4.43253i 0.729807 + 0.302296i
\(216\) −14.6037 1.65297i −0.993655 0.112470i
\(217\) 5.08816 2.10758i 0.345407 0.143072i
\(218\) −12.9325 + 5.22467i −0.875898 + 0.353859i
\(219\) −13.2707 + 0.486361i −0.896751 + 0.0328653i
\(220\) −8.76495 9.07731i −0.590933 0.611992i
\(221\) 6.03551 12.2388i 0.405992 0.823270i
\(222\) −23.1024 8.82313i −1.55053 0.592170i
\(223\) 11.5900 + 6.69148i 0.776122 + 0.448094i 0.835054 0.550168i \(-0.185436\pi\)
−0.0589319 + 0.998262i \(0.518769\pi\)
\(224\) 3.13826 8.06694i 0.209684 0.538995i
\(225\) 5.45426 + 6.12220i 0.363618 + 0.408147i
\(226\) 6.52561 + 19.7913i 0.434077 + 1.31649i
\(227\) −15.4246 + 1.01098i −1.02377 + 0.0671013i −0.568026 0.823011i \(-0.692293\pi\)
−0.455742 + 0.890112i \(0.650626\pi\)
\(228\) −0.211742 + 1.18225i −0.0140230 + 0.0782966i
\(229\) −8.69227 + 7.62292i −0.574402 + 0.503737i −0.896544 0.442954i \(-0.853930\pi\)
0.322142 + 0.946691i \(0.395597\pi\)
\(230\) −1.86405 0.262025i −0.122912 0.0172774i
\(231\) −8.07610 + 7.62356i −0.531368 + 0.501593i
\(232\) 4.22206 1.01328i 0.277192 0.0665250i
\(233\) −2.27512 0.942386i −0.149048 0.0617377i 0.306912 0.951738i \(-0.400704\pi\)
−0.455960 + 0.890000i \(0.650704\pi\)
\(234\) 1.89113 + 9.55409i 0.123627 + 0.624570i
\(235\) −7.02288 4.69254i −0.458122 0.306107i
\(236\) 8.50976 2.72351i 0.553938 0.177285i
\(237\) −18.3512 + 15.1809i −1.19204 + 0.986103i
\(238\) 4.24130 12.1442i 0.274923 0.787192i
\(239\) 3.87459 14.4602i 0.250626 0.935350i −0.719845 0.694134i \(-0.755787\pi\)
0.970472 0.241215i \(-0.0775460\pi\)
\(240\) −9.87214 + 3.36901i −0.637244 + 0.217469i
\(241\) −4.15791 15.5175i −0.267834 0.999571i −0.960493 0.278305i \(-0.910227\pi\)
0.692658 0.721266i \(-0.256439\pi\)
\(242\) 9.25132 + 0.687733i 0.594697 + 0.0442091i
\(243\) 13.0744 8.48884i 0.838722 0.544559i
\(244\) −9.79295 3.51660i −0.626929 0.225127i
\(245\) 3.10224 + 6.29072i 0.198195 + 0.401900i
\(246\) −24.8797 11.4185i −1.58627 0.728014i
\(247\) 0.789120 0.103890i 0.0502105 0.00661034i
\(248\) −7.82743 + 6.50898i −0.497042 + 0.413320i
\(249\) −0.785625 + 2.62677i −0.0497870 + 0.166465i
\(250\) 15.1567 + 6.43410i 0.958594 + 0.406928i
\(251\) 24.3678 4.84706i 1.53808 0.305944i 0.647963 0.761672i \(-0.275621\pi\)
0.890119 + 0.455728i \(0.150621\pi\)
\(252\) 2.86674 + 8.72190i 0.180588 + 0.549428i
\(253\) 3.08024 2.05815i 0.193653 0.129395i
\(254\) −3.96539 6.04857i −0.248811 0.379521i
\(255\) −14.4868 + 5.51717i −0.907198 + 0.345499i
\(256\) −1.11942 + 15.9608i −0.0699634 + 0.997550i
\(257\) −3.51469 6.08763i −0.219240 0.379736i 0.735336 0.677703i \(-0.237025\pi\)
−0.954576 + 0.297968i \(0.903691\pi\)
\(258\) −1.93787 + 18.7442i −0.120647 + 1.16696i
\(259\) 1.01037 + 15.4153i 0.0627814 + 0.957860i
\(260\) 4.11148 + 5.55695i 0.254983 + 0.344627i
\(261\) −2.77491 + 3.67546i −0.171762 + 0.227505i
\(262\) 1.05801 + 8.61863i 0.0653639 + 0.532461i
\(263\) −22.7680 2.99747i −1.40394 0.184832i −0.609792 0.792561i \(-0.708747\pi\)
−0.794144 + 0.607729i \(0.792081\pi\)
\(264\) 10.0794 17.8840i 0.620345 1.10069i
\(265\) 3.01014 0.396293i 0.184912 0.0243441i
\(266\) 0.726393 0.187838i 0.0445380 0.0115171i
\(267\) 3.89008 + 3.61502i 0.238069 + 0.221236i
\(268\) 15.2584 12.9159i 0.932058 0.788962i
\(269\) −28.8169 5.73203i −1.75699 0.349488i −0.791752 0.610843i \(-0.790831\pi\)
−0.965243 + 0.261355i \(0.915831\pi\)
\(270\) 5.81456 9.41283i 0.353863 0.572847i
\(271\) 15.2833 15.2833i 0.928393 0.928393i −0.0692094 0.997602i \(-0.522048\pi\)
0.997602 + 0.0692094i \(0.0220476\pi\)
\(272\) −0.832294 + 23.7631i −0.0504652 + 1.44085i
\(273\) 4.93154 3.56314i 0.298470 0.215651i
\(274\) 7.24155 20.7349i 0.437478 1.25264i
\(275\) −10.8452 + 3.68145i −0.653991 + 0.222000i
\(276\) −0.457731 3.02806i −0.0275522 0.182268i
\(277\) −0.196789 + 0.0970457i −0.0118239 + 0.00583091i −0.448191 0.893938i \(-0.647932\pi\)
0.436367 + 0.899769i \(0.356265\pi\)
\(278\) −7.37295 13.0324i −0.442200 0.781633i
\(279\) 2.02369 10.6063i 0.121155 0.634985i
\(280\) 4.48508 + 4.72702i 0.268035 + 0.282494i
\(281\) 2.24904 17.0831i 0.134166 1.01909i −0.783402 0.621516i \(-0.786517\pi\)
0.917568 0.397579i \(-0.130150\pi\)
\(282\) 4.05258 13.1302i 0.241328 0.781895i
\(283\) −7.84206 + 6.87730i −0.466162 + 0.408813i −0.859942 0.510392i \(-0.829500\pi\)
0.393780 + 0.919205i \(0.371167\pi\)
\(284\) −27.7699 0.486166i −1.64784 0.0288486i
\(285\) −0.737003 0.523782i −0.0436563 0.0310261i
\(286\) −13.3190 2.77072i −0.787571 0.163836i
\(287\) 17.1006i 1.00942i
\(288\) −9.84048 13.8262i −0.579856 0.814719i
\(289\) 18.3361i 1.07859i
\(290\) −0.665715 + 3.20013i −0.0390921 + 0.187918i
\(291\) −2.19186 + 23.1827i −0.128489 + 1.35899i
\(292\) −10.6513 11.0309i −0.623320 0.645534i
\(293\) 3.33099 2.92120i 0.194598 0.170658i −0.556502 0.830846i \(-0.687857\pi\)
0.751100 + 0.660188i \(0.229523\pi\)
\(294\) −8.36635 + 7.76020i −0.487935 + 0.452584i
\(295\) −0.877957 + 6.66874i −0.0511166 + 0.388269i
\(296\) −10.2313 26.6598i −0.594685 1.54957i
\(297\) 3.79852 + 21.4402i 0.220413 + 1.24409i
\(298\) −23.3795 + 13.2267i −1.35434 + 0.766200i
\(299\) −1.82016 + 0.897602i −0.105262 + 0.0519097i
\(300\) −1.05604 + 9.40879i −0.0609705 + 0.543217i
\(301\) 11.1469 3.78385i 0.642495 0.218098i
\(302\) 3.77971 + 1.32004i 0.217498 + 0.0759600i
\(303\) −2.09807 20.4812i −0.120531 1.17662i
\(304\) −1.17940 + 0.729668i −0.0676435 + 0.0418493i
\(305\) 5.53883 5.53883i 0.317153 0.317153i
\(306\) −15.3342 20.0228i −0.876600 1.14463i
\(307\) −12.3614 2.45884i −0.705504 0.140334i −0.170717 0.985320i \(-0.554608\pi\)
−0.534787 + 0.844987i \(0.679608\pi\)
\(308\) −12.7799 1.06260i −0.728205 0.0605472i
\(309\) −3.28010 + 14.3204i −0.186598 + 0.814660i
\(310\) −1.91864 7.41961i −0.108971 0.421406i
\(311\) −11.9659 + 1.57534i −0.678522 + 0.0893292i −0.461908 0.886928i \(-0.652835\pi\)
−0.216615 + 0.976257i \(0.569502\pi\)
\(312\) −6.75329 + 8.99272i −0.382330 + 0.509113i
\(313\) 10.7113 + 1.41017i 0.605441 + 0.0797078i 0.427013 0.904245i \(-0.359566\pi\)
0.178427 + 0.983953i \(0.442899\pi\)
\(314\) −17.7737 + 2.18187i −1.00303 + 0.123130i
\(315\) −6.85917 0.848542i −0.386471 0.0478099i
\(316\) −27.1986 4.06631i −1.53004 0.228748i
\(317\) 0.881190 + 13.4444i 0.0494926 + 0.755110i 0.948421 + 0.317014i \(0.102680\pi\)
−0.898928 + 0.438096i \(0.855653\pi\)
\(318\) 2.01674 + 4.50902i 0.113093 + 0.252853i
\(319\) −3.21639 5.57095i −0.180083 0.311913i
\(320\) −10.5082 5.88702i −0.587426 0.329094i
\(321\) −0.439799 + 2.73016i −0.0245472 + 0.152383i
\(322\) −1.59990 + 1.04888i −0.0891590 + 0.0584519i
\(323\) −1.71369 + 1.14505i −0.0953521 + 0.0637123i
\(324\) 17.3779 + 4.69131i 0.965439 + 0.260628i
\(325\) 6.15367 1.22404i 0.341344 0.0678975i
\(326\) −2.66403 + 6.27562i −0.147547 + 0.347574i
\(327\) 16.6212 3.94407i 0.919154 0.218107i
\(328\) −9.37125 30.1887i −0.517441 1.66689i
\(329\) −8.51061 + 1.12044i −0.469205 + 0.0617720i
\(330\) 8.94077 + 12.6054i 0.492173 + 0.693903i
\(331\) −0.486965 0.987467i −0.0267660 0.0542761i 0.883079 0.469224i \(-0.155466\pi\)
−0.909845 + 0.414948i \(0.863800\pi\)
\(332\) −2.86347 + 1.35032i −0.157153 + 0.0741084i
\(333\) 26.3476 + 14.9384i 1.44384 + 0.818621i
\(334\) 0.452424 6.08597i 0.0247556 0.333010i
\(335\) 3.89505 + 14.5365i 0.212809 + 0.794215i
\(336\) −5.28572 + 9.18953i −0.288359 + 0.501330i
\(337\) 5.06134 18.8892i 0.275708 1.02896i −0.679657 0.733530i \(-0.737871\pi\)
0.955365 0.295428i \(-0.0954621\pi\)
\(338\) −10.3208 3.60448i −0.561377 0.196058i
\(339\) −4.25594 25.1655i −0.231151 1.36680i
\(340\) −15.9129 8.19675i −0.863000 0.444531i
\(341\) 12.5405 + 8.37929i 0.679105 + 0.453764i
\(342\) 0.474141 1.39249i 0.0256386 0.0752972i
\(343\) 16.4816 + 6.82689i 0.889921 + 0.368617i
\(344\) −17.6046 + 12.7884i −0.949177 + 0.689504i
\(345\) 2.20876 + 0.660606i 0.118916 + 0.0355658i
\(346\) −0.165222 + 1.17539i −0.00888238 + 0.0631895i
\(347\) −13.6279 + 11.9514i −0.731585 + 0.641583i −0.941839 0.336064i \(-0.890904\pi\)
0.210254 + 0.977647i \(0.432571\pi\)
\(348\) −5.29877 + 0.449229i −0.284044 + 0.0240812i
\(349\) −0.0193567 + 0.00126871i −0.00103614 + 6.79122e-5i −0.0659212 0.997825i \(-0.520999\pi\)
0.0648851 + 0.997893i \(0.479332\pi\)
\(350\) 5.61697 1.85204i 0.300240 0.0989956i
\(351\) −0.530026 11.9166i −0.0282907 0.636059i
\(352\) 23.1434 5.12763i 1.23355 0.273303i
\(353\) −15.2025 8.77717i −0.809147 0.467161i 0.0375124 0.999296i \(-0.488057\pi\)
−0.846660 + 0.532135i \(0.821390\pi\)
\(354\) −10.8054 + 1.73025i −0.574300 + 0.0919615i
\(355\) 9.24760 18.7523i 0.490811 0.995267i
\(356\) −0.107336 + 6.13107i −0.00568881 + 0.324946i
\(357\) −7.37229 + 13.9232i −0.390183 + 0.736893i
\(358\) −2.70778 6.70248i −0.143110 0.354237i
\(359\) −5.87516 + 2.43357i −0.310079 + 0.128439i −0.532296 0.846558i \(-0.678671\pi\)
0.222217 + 0.974997i \(0.428671\pi\)
\(360\) 12.5739 2.26089i 0.662702 0.119160i
\(361\) 17.4426 + 7.22498i 0.918034 + 0.380262i
\(362\) −8.29459 0.0726009i −0.435954 0.00381582i
\(363\) −11.0750 2.53673i −0.581285 0.133144i
\(364\) 6.86526 + 1.49097i 0.359837 + 0.0781479i
\(365\) 10.9309 3.71053i 0.572148 0.194218i
\(366\) 11.2097 + 6.06173i 0.585942 + 0.316852i
\(367\) 9.37211 2.51125i 0.489220 0.131086i −0.00577257 0.999983i \(-0.501837\pi\)
0.494992 + 0.868897i \(0.335171\pi\)
\(368\) 2.24960 2.72840i 0.117268 0.142228i
\(369\) 28.0216 + 18.4083i 1.45875 + 0.958296i
\(370\) 21.4377 + 1.59365i 1.11449 + 0.0828501i
\(371\) 2.03449 2.31989i 0.105625 0.120443i
\(372\) 10.6765 6.43943i 0.553549 0.333869i
\(373\) −32.9829 2.16181i −1.70779 0.111934i −0.820054 0.572286i \(-0.806057\pi\)
−0.887737 + 0.460352i \(0.847723\pi\)
\(374\) 34.1058 8.81940i 1.76357 0.456040i
\(375\) −17.1669 10.5822i −0.886493 0.546464i
\(376\) 14.4102 6.64185i 0.743151 0.342527i
\(377\) 1.34858 + 3.25577i 0.0694556 + 0.167681i
\(378\) −1.86460 11.0886i −0.0959048 0.570338i
\(379\) 19.8997 3.95830i 1.02218 0.203324i 0.344582 0.938756i \(-0.388021\pi\)
0.677599 + 0.735432i \(0.263021\pi\)
\(380\) −0.118135 1.03734i −0.00606021 0.0532143i
\(381\) 3.68727 + 8.05409i 0.188904 + 0.412624i
\(382\) 26.2353 1.48907i 1.34232 0.0761873i
\(383\) 13.9801 + 24.2143i 0.714350 + 1.23729i 0.963210 + 0.268751i \(0.0866109\pi\)
−0.248859 + 0.968540i \(0.580056\pi\)
\(384\) 4.29524 19.1194i 0.219191 0.975682i
\(385\) 4.82700 8.36061i 0.246007 0.426096i
\(386\) 16.5565 32.8454i 0.842704 1.67179i
\(387\) 5.79891 22.3388i 0.294775 1.13554i
\(388\) −21.6153 + 15.9927i −1.09735 + 0.811909i
\(389\) 9.14622 26.9439i 0.463732 1.36611i −0.423964 0.905679i \(-0.639362\pi\)
0.887696 0.460430i \(-0.152305\pi\)
\(390\) −3.95470 7.48574i −0.200254 0.379055i
\(391\) 3.19916 4.16923i 0.161789 0.210847i
\(392\) −13.1212 1.20670i −0.662720 0.0609475i
\(393\) 0.306422 10.6304i 0.0154569 0.536235i
\(394\) 7.74666 + 7.88346i 0.390271 + 0.397163i
\(395\) 11.5019 17.2138i 0.578722 0.866119i
\(396\) −15.4984 + 19.7977i −0.778823 + 0.994873i
\(397\) 32.5402 + 6.47265i 1.63315 + 0.324853i 0.924638 0.380848i \(-0.124368\pi\)
0.708510 + 0.705701i \(0.249368\pi\)
\(398\) −11.2876 + 16.5771i −0.565796 + 0.830937i
\(399\) −0.914125 + 0.0936419i −0.0457635 + 0.00468796i
\(400\) −8.90102 + 6.34764i −0.445051 + 0.317382i
\(401\) 8.88399 33.1555i 0.443645 1.65571i −0.275843 0.961203i \(-0.588957\pi\)
0.719488 0.694505i \(-0.244376\pi\)
\(402\) −20.8541 + 12.8283i −1.04011 + 0.639815i
\(403\) −6.21202 5.44780i −0.309443 0.271374i
\(404\) 15.9854 17.5967i 0.795303 0.875469i
\(405\) −8.77412 + 10.3262i −0.435990 + 0.513114i
\(406\) 1.63572 + 2.89130i 0.0811795 + 0.143493i
\(407\) −33.5639 + 25.7545i −1.66370 + 1.27660i
\(408\) 5.38470 28.6194i 0.266583 1.41687i
\(409\) −4.45790 3.42066i −0.220429 0.169141i 0.492644 0.870231i \(-0.336030\pi\)
−0.713073 + 0.701090i \(0.752697\pi\)
\(410\) 23.5643 + 3.31237i 1.16376 + 0.163586i
\(411\) −12.5874 + 23.7723i −0.620889 + 1.17260i
\(412\) −14.8375 + 8.22354i −0.730990 + 0.405145i
\(413\) 3.79785 + 5.68388i 0.186880 + 0.279686i
\(414\) −0.00351319 + 3.75073i −0.000172664 + 0.184338i
\(415\) 2.38329i 0.116991i
\(416\) −12.9367 + 1.13012i −0.634273 + 0.0554088i
\(417\) 6.52682 + 17.1379i 0.319620 + 0.839246i
\(418\) 1.53289 + 1.36823i 0.0749763 + 0.0669224i
\(419\) 2.80243 5.68276i 0.136908 0.277621i −0.817612 0.575770i \(-0.804702\pi\)
0.954519 + 0.298149i \(0.0963691\pi\)
\(420\) −4.55993 6.54966i −0.222502 0.319591i
\(421\) −4.67361 1.58648i −0.227778 0.0773202i 0.205217 0.978716i \(-0.434210\pi\)
−0.432995 + 0.901396i \(0.642543\pi\)
\(422\) 21.3905 + 16.7130i 1.04127 + 0.813577i
\(423\) −7.32540 + 15.1519i −0.356173 + 0.736708i
\(424\) −2.32028 + 5.21034i −0.112683 + 0.253037i
\(425\) −12.8895 + 9.89049i −0.625235 + 0.479759i
\(426\) 33.5346 + 5.70362i 1.62476 + 0.276341i
\(427\) 0.520661 7.94376i 0.0251966 0.384425i
\(428\) −2.68566 + 1.72728i −0.129816 + 0.0834912i
\(429\) 15.6165 + 5.80808i 0.753974 + 0.280417i
\(430\) −3.05494 16.0931i −0.147322 0.776078i
\(431\) −28.8674 28.8674i −1.39049 1.39049i −0.824208 0.566287i \(-0.808380\pi\)
−0.566287 0.824208i \(-0.691620\pi\)
\(432\) 9.36833 + 18.5536i 0.450734 + 0.892658i
\(433\) −3.15170 + 3.15170i −0.151461 + 0.151461i −0.778770 0.627309i \(-0.784156\pi\)
0.627309 + 0.778770i \(0.284156\pi\)
\(434\) −6.43788 4.38364i −0.309028 0.210421i
\(435\) 1.39549 3.75215i 0.0669088 0.179902i
\(436\) 16.2068 + 11.2443i 0.776163 + 0.538503i
\(437\) 0.305861 + 0.0200472i 0.0146313 + 0.000958989i
\(438\) 10.8650 + 15.3182i 0.519148 + 0.731934i
\(439\) −12.5996 16.4201i −0.601347 0.783690i 0.389158 0.921171i \(-0.372766\pi\)
−0.990504 + 0.137481i \(0.956099\pi\)
\(440\) −3.93970 + 17.4047i −0.187818 + 0.829735i
\(441\) 11.5595 7.85516i 0.550450 0.374055i
\(442\) −19.1547 + 2.35139i −0.911095 + 0.111844i
\(443\) 3.20254 9.43436i 0.152157 0.448240i −0.843947 0.536427i \(-0.819774\pi\)
0.996104 + 0.0881865i \(0.0281071\pi\)
\(444\) 7.47778 + 34.1646i 0.354880 + 1.62138i
\(445\) −4.14015 2.04170i −0.196262 0.0967857i
\(446\) −1.07250 18.8959i −0.0507842 0.894749i
\(447\) 30.7444 11.7088i 1.45416 0.553805i
\(448\) −11.9742 + 2.54324i −0.565725 + 0.120157i
\(449\) −19.7786 −0.933409 −0.466704 0.884413i \(-0.654559\pi\)
−0.466704 + 0.884413i \(0.654559\pi\)
\(450\) 3.01168 11.1978i 0.141972 0.527869i
\(451\) −38.9387 + 26.0180i −1.83355 + 1.22514i
\(452\) 18.3475 23.0635i 0.862993 1.08482i
\(453\) −4.33339 2.29452i −0.203600 0.107806i
\(454\) 13.1555 + 17.4589i 0.617420 + 0.819388i
\(455\) −3.21954 + 4.19579i −0.150934 + 0.196702i
\(456\) 1.56244 0.666258i 0.0731679 0.0312004i
\(457\) 13.8698 + 18.0754i 0.648800 + 0.845532i 0.995726 0.0923602i \(-0.0294411\pi\)
−0.346926 + 0.937893i \(0.612774\pi\)
\(458\) 15.7554 + 4.36981i 0.736203 + 0.204188i
\(459\) 14.8789 + 27.0683i 0.694488 + 1.26344i
\(460\) 1.13544 + 2.40780i 0.0529401 + 0.112264i
\(461\) 3.35532 3.82600i 0.156273 0.178195i −0.668406 0.743797i \(-0.733023\pi\)
0.824678 + 0.565602i \(0.191356\pi\)
\(462\) 15.2784 + 3.64056i 0.710817 + 0.169374i
\(463\) −12.2532 3.28324i −0.569456 0.152585i −0.0374088 0.999300i \(-0.511910\pi\)
−0.532047 + 0.846715i \(0.678577\pi\)
\(464\) −4.47208 4.20779i −0.207611 0.195342i
\(465\) 0.956489 + 9.33718i 0.0443561 + 0.433001i
\(466\) 0.649500 + 3.42150i 0.0300875 + 0.158498i
\(467\) 5.25678 26.4276i 0.243255 1.22292i −0.645219 0.763998i \(-0.723234\pi\)
0.888474 0.458927i \(-0.151766\pi\)
\(468\) 9.83337 9.64463i 0.454548 0.445823i
\(469\) 12.7171 + 8.49727i 0.587219 + 0.392367i
\(470\) −0.104548 + 11.9445i −0.00482242 + 0.550958i
\(471\) 21.9226 + 0.631918i 1.01014 + 0.0291172i
\(472\) −9.81936 7.95282i −0.451973 0.366058i
\(473\) 25.5755 + 19.6248i 1.17596 + 0.902349i
\(474\) 32.1836 + 9.93329i 1.47824 + 0.456251i
\(475\) −0.897337 0.304605i −0.0411726 0.0139762i
\(476\) −17.6516 + 4.40008i −0.809062 + 0.201677i
\(477\) −1.61138 5.83106i −0.0737799 0.266986i
\(478\) −20.1064 + 6.62951i −0.919644 + 0.303227i
\(479\) 32.9045 + 18.9974i 1.50345 + 0.868015i 0.999992 + 0.00399305i \(0.00127103\pi\)
0.503454 + 0.864022i \(0.332062\pi\)
\(480\) 11.6391 + 9.06361i 0.531252 + 0.413695i
\(481\) 20.0713 11.5882i 0.915173 0.528375i
\(482\) −15.1287 + 16.9494i −0.689096 + 0.772026i
\(483\) 2.13038 0.975314i 0.0969356 0.0443783i
\(484\) −6.35984 11.4748i −0.289083 0.521584i
\(485\) −3.94897 19.8528i −0.179314 0.901471i
\(486\) −20.1773 8.88116i −0.915263 0.402858i
\(487\) −35.2654 + 14.6074i −1.59803 + 0.661925i −0.991135 0.132858i \(-0.957584\pi\)
−0.606893 + 0.794783i \(0.707584\pi\)
\(488\) 3.43408 + 14.3089i 0.155453 + 0.647732i
\(489\) 4.38157 7.10792i 0.198141 0.321431i
\(490\) 5.03469 8.54670i 0.227444 0.386101i
\(491\) 0.859747 13.1172i 0.0387998 0.591971i −0.933551 0.358445i \(-0.883307\pi\)
0.972351 0.233526i \(-0.0750263\pi\)
\(492\) 5.78638 + 38.2790i 0.260870 + 1.72575i
\(493\) −6.86079 6.01675i −0.308995 0.270981i
\(494\) −0.734733 0.852745i −0.0330572 0.0383668i
\(495\) −8.50383 16.9096i −0.382219 0.760029i
\(496\) 13.7674 + 4.21068i 0.618174 + 0.189065i
\(497\) −5.49975 20.5253i −0.246697 0.920687i
\(498\) 3.71585 1.10756i 0.166511 0.0496310i
\(499\) −10.0362 29.5658i −0.449283 1.32355i −0.901940 0.431861i \(-0.857857\pi\)
0.452657 0.891685i \(-0.350476\pi\)
\(500\) −4.14244 22.9148i −0.185255 1.02478i
\(501\) −1.66878 + 7.28565i −0.0745557 + 0.325499i
\(502\) −24.6268 25.0617i −1.09915 1.11856i
\(503\) 10.3803 25.0602i 0.462833 1.11738i −0.504396 0.863473i \(-0.668285\pi\)
0.967229 0.253906i \(-0.0817152\pi\)
\(504\) 8.09265 10.1532i 0.360475 0.452261i
\(505\) 6.84880 + 16.5345i 0.304768 + 0.735774i
\(506\) −4.82253 2.04719i −0.214388 0.0910087i
\(507\) 11.8327 + 6.26536i 0.525507 + 0.278254i
\(508\) −4.07903 + 9.37980i −0.180978 + 0.416161i
\(509\) 12.8838 + 6.35359i 0.571065 + 0.281618i 0.704808 0.709398i \(-0.251033\pi\)
−0.133743 + 0.991016i \(0.542700\pi\)
\(510\) 17.7579 + 12.8558i 0.786331 + 0.569263i
\(511\) 5.86584 10.1599i 0.259490 0.449449i
\(512\) 19.7449 11.0516i 0.872610 0.488418i
\(513\) −0.830582 + 1.59871i −0.0366711 + 0.0705850i
\(514\) −4.47468 + 8.87703i −0.197370 + 0.391549i
\(515\) −0.835237 12.7432i −0.0368049 0.561535i
\(516\) 23.6714 12.2418i 1.04208 0.538914i
\(517\) −15.4999 17.6742i −0.681684 0.777311i
\(518\) 17.4484 13.1476i 0.766637 0.577671i
\(519\) 0.416550 1.39275i 0.0182845 0.0611350i
\(520\) 3.38431 9.17139i 0.148412 0.402192i
\(521\) −7.13274 + 17.2200i −0.312491 + 0.754420i 0.687120 + 0.726544i \(0.258874\pi\)
−0.999611 + 0.0278763i \(0.991126\pi\)
\(522\) 6.49858 + 0.432053i 0.284435 + 0.0189104i
\(523\) −3.84346 + 5.75214i −0.168063 + 0.251524i −0.905935 0.423417i \(-0.860831\pi\)
0.737872 + 0.674940i \(0.235831\pi\)
\(524\) 9.37296 7.93397i 0.409460 0.346597i
\(525\) −7.14224 + 1.20788i −0.311713 + 0.0527162i
\(526\) 14.1086 + 29.2521i 0.615164 + 1.27545i
\(527\) 20.6663 + 5.53751i 0.900237 + 0.241218i
\(528\) −28.9669 + 1.94580i −1.26062 + 0.0846800i
\(529\) 21.4614 5.75056i 0.933103 0.250024i
\(530\) −2.80268 3.25285i −0.121741 0.141295i
\(531\) 13.4020 0.104751i 0.581599 0.00454582i
\(532\) −0.785382 0.713466i −0.0340506 0.0309327i
\(533\) 23.0094 11.3470i 0.996648 0.491492i
\(534\) 1.25925 7.40382i 0.0544932 0.320395i
\(535\) −0.313763 2.38326i −0.0135651 0.103037i
\(536\) −27.1067 8.03166i −1.17083 0.346915i
\(537\) 2.04408 + 8.61422i 0.0882086 + 0.371731i
\(538\) 15.5645 + 38.5264i 0.671033 + 1.66099i
\(539\) 3.80848 + 19.1465i 0.164043 + 0.824699i
\(540\) −15.6411 + 0.421530i −0.673085 + 0.0181397i
\(541\) −25.5854 38.2912i −1.10000 1.64627i −0.667436 0.744667i \(-0.732608\pi\)
−0.432566 0.901602i \(-0.642392\pi\)
\(542\) −29.9259 6.22540i −1.28543 0.267404i
\(543\) 10.0298 + 1.61569i 0.430422 + 0.0693361i
\(544\) 28.7501 17.4409i 1.23265 0.747773i
\(545\) −12.8600 + 7.42470i −0.550860 + 0.318039i
\(546\) −8.03794 3.06980i −0.343992 0.131375i
\(547\) −13.1654 + 0.862905i −0.562911 + 0.0368952i −0.344203 0.938895i \(-0.611851\pi\)
−0.218708 + 0.975790i \(0.570184\pi\)
\(548\) −30.1382 + 7.51264i −1.28744 + 0.320924i
\(549\) −12.4564 9.40436i −0.531626 0.401368i
\(550\) 12.7632 + 9.97222i 0.544223 + 0.425217i
\(551\) 0.0694726 0.527697i 0.00295963 0.0224806i
\(552\) −3.22639 + 2.88924i −0.137324 + 0.122974i
\(553\) −2.74632 20.8604i −0.116785 0.887073i
\(554\) 0.267362 + 0.157498i 0.0113591 + 0.00669143i
\(555\) −25.6635 5.87824i −1.08936 0.249518i
\(556\) −9.69676 + 18.8250i −0.411234 + 0.798359i
\(557\) 0.760760 3.82460i 0.0322344 0.162053i −0.961315 0.275450i \(-0.911173\pi\)
0.993550 + 0.113397i \(0.0361731\pi\)
\(558\) −14.1133 + 5.83045i −0.597464 + 0.246822i
\(559\) −12.4877 12.4877i −0.528173 0.528173i
\(560\) 2.11308 8.96974i 0.0892938 0.379041i
\(561\) −42.9202 + 4.39670i −1.81209 + 0.185629i
\(562\) −21.9482 + 10.5859i −0.925829 + 0.446537i
\(563\) −11.0616 32.5864i −0.466190 1.37335i −0.885132 0.465340i \(-0.845932\pi\)
0.418942 0.908013i \(-0.362401\pi\)
\(564\) −18.6715 + 5.38782i −0.786212 + 0.226868i
\(565\) 9.81267 + 19.8981i 0.412822 + 0.837120i
\(566\) 14.2144 + 3.94239i 0.597474 + 0.165711i
\(567\) 0.215264 + 13.7697i 0.00904022 + 0.578274i
\(568\) 20.9570 + 33.2206i 0.879337 + 1.39390i
\(569\) −33.8028 4.45023i −1.41709 0.186563i −0.617245 0.786771i \(-0.711751\pi\)
−0.799844 + 0.600208i \(0.795085\pi\)
\(570\) −0.0480284 + 1.27778i −0.00201169 + 0.0535205i
\(571\) 17.4028 + 19.8440i 0.728282 + 0.830447i 0.990921 0.134447i \(-0.0429259\pi\)
−0.262638 + 0.964894i \(0.584593\pi\)
\(572\) 7.05027 + 17.9009i 0.294786 + 0.748473i
\(573\) −32.0404 3.02933i −1.33851 0.126552i
\(574\) 20.2250 13.2594i 0.844177 0.553435i
\(575\) 2.41625 0.100764
\(576\) −8.72236 + 22.3589i −0.363432 + 0.931621i
\(577\) 42.9016 1.78602 0.893009 0.450040i \(-0.148590\pi\)
0.893009 + 0.450040i \(0.148590\pi\)
\(578\) 21.6862 14.2173i 0.902029 0.591363i
\(579\) −26.0967 + 36.7202i −1.08454 + 1.52604i
\(580\) 4.30100 1.69395i 0.178589 0.0703374i
\(581\) −1.59703 1.82107i −0.0662562 0.0755507i
\(582\) 29.1179 15.3829i 1.20697 0.637643i
\(583\) 8.37787 + 1.10297i 0.346976 + 0.0456802i
\(584\) −4.78758 + 21.1504i −0.198111 + 0.875211i
\(585\) 3.40961 + 9.79227i 0.140970 + 0.404860i
\(586\) −6.03768 1.67457i −0.249414 0.0691757i
\(587\) 0.656596 + 1.33145i 0.0271006 + 0.0549546i 0.910002 0.414604i \(-0.136080\pi\)
−0.882901 + 0.469558i \(0.844413\pi\)
\(588\) 15.6651 + 3.87789i 0.646017 + 0.159922i
\(589\) 0.401129 + 1.18169i 0.0165282 + 0.0486906i
\(590\) 8.56792 4.13240i 0.352736 0.170128i
\(591\) −7.92771 10.9723i −0.326102 0.451339i
\(592\) −23.5976 + 32.7719i −0.969855 + 1.34692i
\(593\) −3.62289 3.62289i −0.148774 0.148774i 0.628796 0.777570i \(-0.283548\pi\)
−0.777570 + 0.628796i \(0.783548\pi\)
\(594\) 22.4122 21.1167i 0.919586 0.866430i
\(595\) 2.67174 13.4317i 0.109531 0.550647i
\(596\) 33.7711 + 17.3955i 1.38332 + 0.712546i
\(597\) 16.7206 17.9928i 0.684327 0.736396i
\(598\) 2.47290 + 1.45674i 0.101124 + 0.0595704i
\(599\) 1.31887 + 10.0178i 0.0538877 + 0.409318i 0.997035 + 0.0769440i \(0.0245163\pi\)
−0.943148 + 0.332374i \(0.892150\pi\)
\(600\) 11.9467 6.04633i 0.487721 0.246841i
\(601\) 2.12783 16.1625i 0.0867962 0.659282i −0.891642 0.452742i \(-0.850446\pi\)
0.978438 0.206541i \(-0.0662206\pi\)
\(602\) −13.1182 10.2496i −0.534657 0.417742i
\(603\) 27.6134 11.6915i 1.12450 0.476115i
\(604\) −1.36946 5.49382i −0.0557225 0.223540i
\(605\) 9.85524 0.645946i 0.400672 0.0262615i
\(606\) −22.5965 + 18.3620i −0.917921 + 0.745905i
\(607\) −4.11237 + 2.37428i −0.166916 + 0.0963690i −0.581131 0.813810i \(-0.697390\pi\)
0.414215 + 0.910179i \(0.364056\pi\)
\(608\) 1.77746 + 0.829125i 0.0720856 + 0.0336255i
\(609\) −1.44801 3.80212i −0.0586761 0.154070i
\(610\) −10.8455 2.25616i −0.439121 0.0913491i
\(611\) 7.15474 + 10.7078i 0.289450 + 0.433192i
\(612\) −11.7913 + 33.6610i −0.476636 + 1.36067i
\(613\) 5.06297 + 25.4533i 0.204492 + 1.02805i 0.937541 + 0.347874i \(0.113096\pi\)
−0.733050 + 0.680175i \(0.761904\pi\)
\(614\) 6.67663 + 16.5265i 0.269447 + 0.666954i
\(615\) −27.9219 8.35100i −1.12592 0.336745i
\(616\) 8.65248 + 15.9388i 0.348618 + 0.642194i
\(617\) 4.01735 + 30.5148i 0.161733 + 1.22848i 0.859115 + 0.511782i \(0.171014\pi\)
−0.697383 + 0.716699i \(0.745652\pi\)
\(618\) 19.4802 7.22426i 0.783607 0.290602i
\(619\) −3.08461 + 1.52116i −0.123981 + 0.0611406i −0.503221 0.864158i \(-0.667852\pi\)
0.379240 + 0.925298i \(0.376185\pi\)
\(620\) −7.28757 + 8.02216i −0.292676 + 0.322178i
\(621\) 0.695104 4.54079i 0.0278936 0.182216i
\(622\) 11.1412 + 12.9307i 0.446721 + 0.518472i
\(623\) −4.53161 + 1.21424i −0.181555 + 0.0486475i
\(624\) 15.8721 + 1.01445i 0.635392 + 0.0406105i
\(625\) 3.73260 + 1.00015i 0.149304 + 0.0400059i
\(626\) −6.63746 13.7618i −0.265286 0.550032i
\(627\) −1.60403 1.93902i −0.0640590 0.0774370i
\(628\) 16.3618 + 19.3294i 0.652907 + 0.771325i
\(629\) −33.3422 + 49.9002i −1.32944 + 1.98965i
\(630\) 4.31484 + 8.77033i 0.171907 + 0.349418i
\(631\) 15.5126 37.4508i 0.617548 1.49089i −0.236994 0.971511i \(-0.576162\pi\)
0.854542 0.519382i \(-0.173838\pi\)
\(632\) 16.2798 + 35.3209i 0.647577 + 1.40499i
\(633\) −22.8216 24.1763i −0.907077 0.960922i
\(634\) 15.2175 11.4666i 0.604364 0.455396i
\(635\) −5.07693 5.78913i −0.201472 0.229735i
\(636\) 3.76913 5.88139i 0.149456 0.233212i
\(637\) −0.699446 10.6715i −0.0277131 0.422820i
\(638\) −4.09490 + 8.12361i −0.162119 + 0.321617i
\(639\) −39.5537 13.0828i −1.56472 0.517548i
\(640\) 1.18515 + 16.9928i 0.0468471 + 0.671698i
\(641\) 22.3562 38.7221i 0.883016 1.52943i 0.0350460 0.999386i \(-0.488842\pi\)
0.847970 0.530044i \(-0.177824\pi\)
\(642\) 3.56999 1.59674i 0.140896 0.0630184i
\(643\) −32.9235 16.2361i −1.29838 0.640288i −0.344021 0.938962i \(-0.611789\pi\)
−0.954355 + 0.298674i \(0.903456\pi\)
\(644\) 2.48104 + 1.07894i 0.0977666 + 0.0425162i
\(645\) 0.734761 + 20.0484i 0.0289312 + 0.789407i
\(646\) 2.68301 + 1.13895i 0.105561 + 0.0448114i
\(647\) 6.41435 + 15.4856i 0.252174 + 0.608802i 0.998379 0.0569142i \(-0.0181262\pi\)
−0.746205 + 0.665716i \(0.768126\pi\)
\(648\) −7.92592 24.1905i −0.311360 0.950292i
\(649\) −7.16409 + 17.2957i −0.281215 + 0.678914i
\(650\) −6.21907 6.32890i −0.243932 0.248240i
\(651\) 6.98765 + 6.49357i 0.273868 + 0.254503i
\(652\) 9.48784 1.71517i 0.371573 0.0671714i
\(653\) 14.8210 + 43.6613i 0.579991 + 1.70860i 0.698468 + 0.715642i \(0.253866\pi\)
−0.118477 + 0.992957i \(0.537801\pi\)
\(654\) −17.5523 16.5999i −0.686349 0.649106i
\(655\) 2.39265 + 8.92951i 0.0934887 + 0.348905i
\(656\) −28.4381 + 34.4909i −1.11032 + 1.34664i
\(657\) −10.3340 20.5488i −0.403167 0.801684i
\(658\) 7.92406 + 9.19680i 0.308912 + 0.358529i
\(659\) −0.741644 0.650404i −0.0288904 0.0253362i 0.644779 0.764369i \(-0.276949\pi\)
−0.673669 + 0.739033i \(0.735283\pi\)
\(660\) 7.97603 20.3482i 0.310467 0.792052i
\(661\) −1.28748 + 19.6432i −0.0500773 + 0.764032i 0.896800 + 0.442437i \(0.145886\pi\)
−0.946877 + 0.321596i \(0.895781\pi\)
\(662\) −0.790305 + 1.34159i −0.0307161 + 0.0521425i
\(663\) 23.6259 + 0.681015i 0.917553 + 0.0264484i
\(664\) 3.81729 + 2.33965i 0.148140 + 0.0907959i
\(665\) 0.737972 0.305678i 0.0286173 0.0118537i
\(666\) −2.76140 42.7443i −0.107002 1.65631i
\(667\) 0.264762 + 1.33105i 0.0102516 + 0.0515383i
\(668\) −7.54872 + 4.18381i −0.292069 + 0.161877i
\(669\) −2.18187 + 23.0770i −0.0843558 + 0.892210i
\(670\) 14.1723 15.8779i 0.547525 0.613418i
\(671\) 18.8804 10.9006i 0.728868 0.420812i
\(672\) 14.9669 0.873859i 0.577362 0.0337099i
\(673\) 5.01449 + 2.89512i 0.193294 + 0.111599i 0.593524 0.804816i \(-0.297736\pi\)
−0.400230 + 0.916415i \(0.631070\pi\)
\(674\) −26.2648 + 8.66007i −1.01168 + 0.333573i
\(675\) −5.70912 + 13.0037i −0.219744 + 0.500514i
\(676\) 3.73941 + 15.0013i 0.143824 + 0.576973i
\(677\) 22.7374 + 7.71832i 0.873870 + 0.296639i 0.722110 0.691778i \(-0.243172\pi\)
0.151760 + 0.988417i \(0.451506\pi\)
\(678\) −26.4635 + 24.5462i −1.01632 + 0.942691i
\(679\) −16.3207 12.5233i −0.626331 0.480601i
\(680\) 2.64411 + 25.1759i 0.101397 + 0.965451i
\(681\) −12.7131 23.5627i −0.487169 0.902923i
\(682\) 0.186687 21.3288i 0.00714861 0.816722i
\(683\) −10.4802 7.00264i −0.401014 0.267949i 0.338668 0.940906i \(-0.390024\pi\)
−0.739681 + 0.672957i \(0.765024\pi\)
\(684\) −2.01454 + 0.518928i −0.0770280 + 0.0198417i
\(685\) 4.56169 22.9332i 0.174293 0.876231i
\(686\) −4.70515 24.7863i −0.179644 0.946344i
\(687\) −18.2720 8.19304i −0.697122 0.312584i
\(688\) 28.7751 + 10.9053i 1.09704 + 0.415761i
\(689\) −4.47145 1.19812i −0.170349 0.0456448i
\(690\) −0.931311 3.12454i −0.0354544 0.118949i
\(691\) −17.9644 + 20.4845i −0.683399 + 0.779267i −0.984699 0.174262i \(-0.944246\pi\)
0.301301 + 0.953529i \(0.402579\pi\)
\(692\) 1.51825 0.715959i 0.0577154 0.0272167i
\(693\) −17.8288 7.22219i −0.677260 0.274348i
\(694\) 24.7017 + 6.85108i 0.937664 + 0.260063i
\(695\) −9.70436 12.6470i −0.368107 0.479727i
\(696\) 4.63983 + 5.91858i 0.175872 + 0.224343i
\(697\) −40.4420 + 52.7050i −1.53185 + 1.99634i
\(698\) 0.0165092 + 0.0219096i 0.000624881 + 0.000829290i
\(699\) −0.156215 4.26244i −0.00590860 0.161220i
\(700\) −6.54567 5.20721i −0.247403 0.196814i
\(701\) 25.6408 17.1327i 0.968441 0.647092i 0.0325831 0.999469i \(-0.489627\pi\)
0.935858 + 0.352377i \(0.114627\pi\)
\(702\) −13.6828 + 9.86665i −0.516426 + 0.372393i
\(703\) −3.50044 −0.132022
\(704\) −24.0093 23.3961i −0.904884 0.881773i
\(705\) 2.32665 14.4433i 0.0876268 0.543966i
\(706\) 1.40679 + 24.7857i 0.0529452 + 0.932821i
\(707\) 16.3128 + 8.04459i 0.613507 + 0.302548i
\(708\) 10.4246 + 11.4380i 0.391780 + 0.429868i
\(709\) −0.986247 + 2.90539i −0.0370393 + 0.109114i −0.963877 0.266348i \(-0.914183\pi\)
0.926838 + 0.375463i \(0.122516\pi\)
\(710\) −29.3488 + 3.60280i −1.10144 + 0.135211i
\(711\) −37.1387 17.9553i −1.39281 0.673376i
\(712\) 7.33448 4.62692i 0.274871 0.173401i
\(713\) −1.93703 2.52438i −0.0725423 0.0945389i
\(714\) 22.1833 2.07641i 0.830190 0.0777075i
\(715\) −14.4524 0.947258i −0.540488 0.0354254i
\(716\) −5.82754 + 8.39943i −0.217785 + 0.313902i
\(717\) 25.5662 4.32370i 0.954788 0.161472i
\(718\) 7.43364 + 5.06167i 0.277421 + 0.188900i
\(719\) 24.4903 24.4903i 0.913336 0.913336i −0.0831975 0.996533i \(-0.526513\pi\)
0.996533 + 0.0831975i \(0.0265132\pi\)
\(720\) −12.4234 13.1182i −0.462994 0.488886i
\(721\) −9.17739 9.17739i −0.341784 0.341784i
\(722\) −4.97952 26.2316i −0.185319 0.976239i
\(723\) 21.4401 17.7361i 0.797364 0.659612i
\(724\) 6.34553 + 9.86636i 0.235830 + 0.366680i
\(725\) 0.274410 4.18669i 0.0101913 0.155490i
\(726\) 5.58702 + 15.0653i 0.207354 + 0.559128i
\(727\) 28.5423 21.9013i 1.05858 0.812275i 0.0758098 0.997122i \(-0.475846\pi\)
0.982767 + 0.184848i \(0.0591792\pi\)
\(728\) −3.55976 9.27565i −0.131933 0.343778i
\(729\) 22.7952 + 14.4699i 0.844267 + 0.535923i
\(730\) −12.8640 10.0510i −0.476117 0.372004i
\(731\) 43.3038 + 14.6997i 1.60165 + 0.543687i
\(732\) −1.52247 17.9579i −0.0562721 0.663744i
\(733\) 19.9149 40.3834i 0.735573 1.49159i −0.130378 0.991464i \(-0.541619\pi\)
0.865951 0.500129i \(-0.166714\pi\)
\(734\) −10.2369 9.13730i −0.377853 0.337264i
\(735\) −7.67031 + 9.42113i −0.282924 + 0.347504i
\(736\) −4.97118 0.545085i −0.183240 0.0200921i
\(737\) 41.8854i 1.54287i
\(738\) 0.0444117 47.4146i 0.00163482 1.74536i
\(739\) −17.2184 25.7692i −0.633390 0.947936i −0.999847 0.0175005i \(-0.994429\pi\)
0.366456 0.930435i \(-0.380571\pi\)
\(740\) −14.7374 26.5902i −0.541756 0.977474i
\(741\) 0.732558 + 1.16785i 0.0269112 + 0.0429020i
\(742\) −4.32124 0.607425i −0.158638 0.0222993i
\(743\) 9.06275 + 6.95409i 0.332480 + 0.255121i 0.761487 0.648180i \(-0.224470\pi\)
−0.429007 + 0.903301i \(0.641136\pi\)
\(744\) −15.8942 7.63418i −0.582710 0.279883i
\(745\) −22.6880 + 17.4091i −0.831223 + 0.637820i
\(746\) 23.0173 + 40.6853i 0.842722 + 1.48960i
\(747\) −4.70321 + 0.656626i −0.172082 + 0.0240247i
\(748\) −36.8755 33.4988i −1.34830 1.22484i
\(749\) −1.83676 1.61079i −0.0671137 0.0588572i
\(750\) 0.795033 + 28.5086i 0.0290305 + 1.04099i
\(751\) −10.0938 + 37.6704i −0.368326 + 1.37461i 0.494529 + 0.869161i \(0.335341\pi\)
−0.862855 + 0.505451i \(0.831326\pi\)
\(752\) −19.0287 11.8932i −0.693904 0.433700i
\(753\) 25.2024 + 34.8811i 0.918425 + 1.27114i
\(754\) 2.80497 4.11941i 0.102151 0.150020i
\(755\) 4.18043 + 0.831539i 0.152141 + 0.0302628i
\(756\) −11.6688 + 10.8031i −0.424392 + 0.392905i
\(757\) 26.5565 39.7446i 0.965212 1.44454i 0.0706994 0.997498i \(-0.477477\pi\)
0.894512 0.447044i \(-0.147523\pi\)
\(758\) −20.1112 20.4664i −0.730473 0.743373i
\(759\) 5.46212 + 3.36703i 0.198262 + 0.122216i
\(760\) −1.13527 + 0.944044i −0.0411805 + 0.0342441i
\(761\) 12.0848 15.7492i 0.438073 0.570908i −0.521183 0.853445i \(-0.674509\pi\)
0.959257 + 0.282537i \(0.0911758\pi\)
\(762\) 6.66663 10.6059i 0.241506 0.384211i
\(763\) −4.85100 + 14.2906i −0.175618 + 0.517354i
\(764\) −22.1033 29.8741i −0.799669 1.08081i
\(765\) −19.1336 18.8368i −0.691776 0.681046i
\(766\) 17.7986 35.3095i 0.643089 1.27578i
\(767\) 5.12780 8.88162i 0.185154 0.320697i
\(768\) −25.9431 + 9.74465i −0.936139 + 0.351630i
\(769\) −5.08123 8.80096i −0.183234 0.317371i 0.759746 0.650220i \(-0.225323\pi\)
−0.942980 + 0.332849i \(0.891990\pi\)
\(770\) −13.6309 + 0.773663i −0.491223 + 0.0278809i
\(771\) 7.05308 9.92425i 0.254011 0.357413i
\(772\) −51.6840 + 5.88593i −1.86015 + 0.211839i