Properties

Label 114.2.l.a.59.1
Level $114$
Weight $2$
Character 114.59
Analytic conductor $0.910$
Analytic rank $0$
Dimension $18$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 114 = 2 \cdot 3 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 114.l (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.910294583043\)
Analytic rank: \(0\)
Dimension: \(18\)
Relative dimension: \(3\) over \(\Q(\zeta_{18})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{18} - \cdots)\)
Defining polynomial: \(x^{18} - x^{15} - 18 x^{14} + 36 x^{13} + 10 x^{12} + 18 x^{11} + 90 x^{10} - 567 x^{9} + 270 x^{8} + 162 x^{7} + 270 x^{6} + 2916 x^{5} - 4374 x^{4} - 729 x^{3} + 19683\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 59.1
Root \(-1.72388 - 0.168030i\) of defining polynomial
Character \(\chi\) \(=\) 114.59
Dual form 114.2.l.a.29.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.173648 + 0.984808i) q^{2} +(-0.716422 - 1.57694i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(-1.14133 - 3.13578i) q^{5} +(1.67739 - 0.431705i) q^{6} +(-1.07356 - 1.85947i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-1.97348 + 2.25951i) q^{9} +O(q^{10})\) \(q+(-0.173648 + 0.984808i) q^{2} +(-0.716422 - 1.57694i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(-1.14133 - 3.13578i) q^{5} +(1.67739 - 0.431705i) q^{6} +(-1.07356 - 1.85947i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-1.97348 + 2.25951i) q^{9} +(3.28633 - 0.579469i) q^{10} +(5.41799 + 3.12808i) q^{11} +(0.133871 + 1.72687i) q^{12} +(-2.56208 - 3.05336i) q^{13} +(2.01764 - 0.734361i) q^{14} +(-4.12726 + 4.04635i) q^{15} +(0.766044 + 0.642788i) q^{16} +(0.403611 + 0.0711674i) q^{17} +(-1.88249 - 2.33586i) q^{18} +(4.34640 - 0.329887i) q^{19} +3.33703i q^{20} +(-2.16314 + 3.02511i) q^{21} +(-4.02138 + 4.79249i) q^{22} +(0.280411 - 0.770422i) q^{23} +(-1.72388 - 0.168030i) q^{24} +(-4.70025 + 3.94398i) q^{25} +(3.45187 - 1.99294i) q^{26} +(4.97695 + 1.49330i) q^{27} +(0.372845 + 2.11451i) q^{28} +(-0.805141 - 4.56618i) q^{29} +(-3.26819 - 4.76720i) q^{30} +(-2.02597 + 1.16970i) q^{31} +(-0.766044 + 0.642788i) q^{32} +(1.05122 - 10.7849i) q^{33} +(-0.140172 + 0.385121i) q^{34} +(-4.60559 + 5.48872i) q^{35} +(2.62726 - 1.44827i) q^{36} +6.01346i q^{37} +(-0.429869 + 4.33765i) q^{38} +(-2.97944 + 6.22774i) q^{39} +(-3.28633 - 0.579469i) q^{40} +(-0.926617 - 0.777524i) q^{41} +(-2.60352 - 2.65558i) q^{42} +(5.87377 - 2.13788i) q^{43} +(-4.02138 - 4.79249i) q^{44} +(9.33771 + 3.60955i) q^{45} +(0.710025 + 0.409933i) q^{46} +(7.59919 - 1.33994i) q^{47} +(0.464826 - 1.66851i) q^{48} +(1.19492 - 2.06967i) q^{49} +(-3.06787 - 5.31371i) q^{50} +(-0.176929 - 0.687455i) q^{51} +(1.36325 + 3.74550i) q^{52} +(0.220516 + 0.0802612i) q^{53} +(-2.33485 + 4.64203i) q^{54} +(3.62525 - 20.5598i) q^{55} -2.14713 q^{56} +(-3.63407 - 6.61767i) q^{57} +4.63662 q^{58} +(-0.930375 + 5.27642i) q^{59} +(5.26229 - 2.39072i) q^{60} +(7.30705 + 2.65955i) q^{61} +(-0.800119 - 2.19831i) q^{62} +(6.32014 + 1.24389i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-6.65050 + 11.5190i) q^{65} +(10.4385 + 2.90803i) q^{66} +(3.48689 - 0.614832i) q^{67} +(-0.354929 - 0.204918i) q^{68} +(-1.41580 + 0.109756i) q^{69} +(-4.60559 - 5.48872i) q^{70} +(-4.19799 + 1.52794i) q^{71} +(0.970052 + 2.83884i) q^{72} +(-4.33185 - 3.63485i) q^{73} +(-5.92210 - 1.04423i) q^{74} +(9.58679 + 4.58646i) q^{75} +(-4.19711 - 1.17656i) q^{76} -13.4328i q^{77} +(-5.61575 - 4.01561i) q^{78} +(-8.05412 + 9.59853i) q^{79} +(1.14133 - 3.13578i) q^{80} +(-1.21076 - 8.91819i) q^{81} +(0.926617 - 0.777524i) q^{82} +(-8.01579 + 4.62792i) q^{83} +(3.06734 - 2.10283i) q^{84} +(-0.237488 - 1.34686i) q^{85} +(1.08543 + 6.15577i) q^{86} +(-6.62378 + 4.54097i) q^{87} +(5.41799 - 3.12808i) q^{88} +(5.61888 - 4.71480i) q^{89} +(-5.17619 + 8.56906i) q^{90} +(-2.92708 + 8.04207i) q^{91} +(-0.527000 + 0.628054i) q^{92} +(3.29599 + 2.35684i) q^{93} +7.71642i q^{94} +(-5.99513 - 13.2528i) q^{95} +(1.56245 + 0.747499i) q^{96} +(-16.0734 - 2.83418i) q^{97} +(1.83073 + 1.53616i) q^{98} +(-17.7602 + 6.06880i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18q + 3q^{6} + 9q^{8} + O(q^{10}) \) \( 18q + 3q^{6} + 9q^{8} - 12q^{13} + 12q^{14} - 24q^{15} - 6q^{17} - 6q^{19} - 24q^{22} - 18q^{25} - 18q^{26} - 3q^{27} + 6q^{28} + 6q^{29} - 27q^{33} - 6q^{34} + 24q^{35} - 3q^{36} - 3q^{38} + 6q^{39} - 3q^{41} - 6q^{43} - 24q^{44} + 54q^{45} + 18q^{46} - 30q^{47} + 6q^{48} + 21q^{49} - 3q^{50} - 33q^{51} - 6q^{52} + 60q^{53} + 30q^{55} + 12q^{57} + 12q^{58} - 3q^{59} + 18q^{60} + 54q^{61} - 6q^{62} + 84q^{63} - 9q^{64} - 24q^{65} + 30q^{66} - 15q^{67} + 27q^{68} + 24q^{69} + 24q^{70} - 36q^{71} - 42q^{73} - 6q^{74} - 18q^{78} - 6q^{79} + 3q^{82} - 36q^{83} - 24q^{84} + 6q^{86} - 54q^{87} + 60q^{89} - 12q^{90} - 18q^{91} - 84q^{93} - 6q^{95} + 9q^{97} - 12q^{98} - 30q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.173648 + 0.984808i −0.122788 + 0.696364i
\(3\) −0.716422 1.57694i −0.413626 0.910447i
\(4\) −0.939693 0.342020i −0.469846 0.171010i
\(5\) −1.14133 3.13578i −0.510418 1.40236i −0.880802 0.473484i \(-0.842996\pi\)
0.370384 0.928879i \(-0.379226\pi\)
\(6\) 1.67739 0.431705i 0.684791 0.176243i
\(7\) −1.07356 1.85947i −0.405769 0.702812i 0.588642 0.808394i \(-0.299663\pi\)
−0.994411 + 0.105582i \(0.966330\pi\)
\(8\) 0.500000 0.866025i 0.176777 0.306186i
\(9\) −1.97348 + 2.25951i −0.657826 + 0.753170i
\(10\) 3.28633 0.579469i 1.03923 0.183244i
\(11\) 5.41799 + 3.12808i 1.63359 + 0.943151i 0.982975 + 0.183740i \(0.0588203\pi\)
0.650611 + 0.759412i \(0.274513\pi\)
\(12\) 0.133871 + 1.72687i 0.0386453 + 0.498504i
\(13\) −2.56208 3.05336i −0.710592 0.846850i 0.283089 0.959094i \(-0.408641\pi\)
−0.993681 + 0.112243i \(0.964196\pi\)
\(14\) 2.01764 0.734361i 0.539237 0.196266i
\(15\) −4.12726 + 4.04635i −1.06565 + 1.04476i
\(16\) 0.766044 + 0.642788i 0.191511 + 0.160697i
\(17\) 0.403611 + 0.0711674i 0.0978899 + 0.0172606i 0.222379 0.974960i \(-0.428618\pi\)
−0.124489 + 0.992221i \(0.539729\pi\)
\(18\) −1.88249 2.33586i −0.443707 0.550567i
\(19\) 4.34640 0.329887i 0.997132 0.0756812i
\(20\) 3.33703i 0.746182i
\(21\) −2.16314 + 3.02511i −0.472037 + 0.660133i
\(22\) −4.02138 + 4.79249i −0.857361 + 1.02176i
\(23\) 0.280411 0.770422i 0.0584697 0.160644i −0.907019 0.421090i \(-0.861647\pi\)
0.965488 + 0.260446i \(0.0838697\pi\)
\(24\) −1.72388 0.168030i −0.351886 0.0342991i
\(25\) −4.70025 + 3.94398i −0.940051 + 0.788796i
\(26\) 3.45187 1.99294i 0.676968 0.390848i
\(27\) 4.97695 + 1.49330i 0.957815 + 0.287385i
\(28\) 0.372845 + 2.11451i 0.0704610 + 0.399604i
\(29\) −0.805141 4.56618i −0.149511 0.847919i −0.963634 0.267226i \(-0.913893\pi\)
0.814123 0.580693i \(-0.197218\pi\)
\(30\) −3.26819 4.76720i −0.596686 0.870368i
\(31\) −2.02597 + 1.16970i −0.363875 + 0.210084i −0.670779 0.741657i \(-0.734040\pi\)
0.306904 + 0.951740i \(0.400707\pi\)
\(32\) −0.766044 + 0.642788i −0.135419 + 0.113630i
\(33\) 1.05122 10.7849i 0.182995 1.87740i
\(34\) −0.140172 + 0.385121i −0.0240394 + 0.0660477i
\(35\) −4.60559 + 5.48872i −0.778486 + 0.927764i
\(36\) 2.62726 1.44827i 0.437877 0.241379i
\(37\) 6.01346i 0.988607i 0.869289 + 0.494303i \(0.164577\pi\)
−0.869289 + 0.494303i \(0.835423\pi\)
\(38\) −0.429869 + 4.33765i −0.0697340 + 0.703660i
\(39\) −2.97944 + 6.22774i −0.477093 + 0.997236i
\(40\) −3.28633 0.579469i −0.519614 0.0916220i
\(41\) −0.926617 0.777524i −0.144713 0.121429i 0.567557 0.823334i \(-0.307889\pi\)
−0.712270 + 0.701905i \(0.752333\pi\)
\(42\) −2.60352 2.65558i −0.401733 0.409766i
\(43\) 5.87377 2.13788i 0.895741 0.326023i 0.147196 0.989107i \(-0.452975\pi\)
0.748545 + 0.663084i \(0.230753\pi\)
\(44\) −4.02138 4.79249i −0.606246 0.722496i
\(45\) 9.33771 + 3.60955i 1.39198 + 0.538080i
\(46\) 0.710025 + 0.409933i 0.104687 + 0.0604413i
\(47\) 7.59919 1.33994i 1.10846 0.195451i 0.410689 0.911776i \(-0.365288\pi\)
0.697767 + 0.716325i \(0.254177\pi\)
\(48\) 0.464826 1.66851i 0.0670919 0.240829i
\(49\) 1.19492 2.06967i 0.170703 0.295666i
\(50\) −3.06787 5.31371i −0.433863 0.751472i
\(51\) −0.176929 0.687455i −0.0247750 0.0962630i
\(52\) 1.36325 + 3.74550i 0.189049 + 0.519408i
\(53\) 0.220516 + 0.0802612i 0.0302902 + 0.0110247i 0.357121 0.934058i \(-0.383758\pi\)
−0.326831 + 0.945083i \(0.605981\pi\)
\(54\) −2.33485 + 4.64203i −0.317733 + 0.631701i
\(55\) 3.62525 20.5598i 0.488828 2.77228i
\(56\) −2.14713 −0.286922
\(57\) −3.63407 6.61767i −0.481344 0.876532i
\(58\) 4.63662 0.608819
\(59\) −0.930375 + 5.27642i −0.121124 + 0.686931i 0.862410 + 0.506210i \(0.168954\pi\)
−0.983534 + 0.180721i \(0.942157\pi\)
\(60\) 5.26229 2.39072i 0.679359 0.308640i
\(61\) 7.30705 + 2.65955i 0.935572 + 0.340520i 0.764416 0.644723i \(-0.223027\pi\)
0.171156 + 0.985244i \(0.445250\pi\)
\(62\) −0.800119 2.19831i −0.101615 0.279186i
\(63\) 6.32014 + 1.24389i 0.796262 + 0.156716i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) −6.65050 + 11.5190i −0.824893 + 1.42876i
\(66\) 10.4385 + 2.90803i 1.28489 + 0.357953i
\(67\) 3.48689 0.614832i 0.425991 0.0751137i 0.0434574 0.999055i \(-0.486163\pi\)
0.382534 + 0.923942i \(0.375052\pi\)
\(68\) −0.354929 0.204918i −0.0430415 0.0248500i
\(69\) −1.41580 + 0.109756i −0.170443 + 0.0132131i
\(70\) −4.60559 5.48872i −0.550473 0.656028i
\(71\) −4.19799 + 1.52794i −0.498210 + 0.181334i −0.578889 0.815407i \(-0.696513\pi\)
0.0806788 + 0.996740i \(0.474291\pi\)
\(72\) 0.970052 + 2.83884i 0.114322 + 0.334560i
\(73\) −4.33185 3.63485i −0.507005 0.425427i 0.353069 0.935597i \(-0.385138\pi\)
−0.860074 + 0.510170i \(0.829583\pi\)
\(74\) −5.92210 1.04423i −0.688430 0.121389i
\(75\) 9.58679 + 4.58646i 1.10699 + 0.529599i
\(76\) −4.19711 1.17656i −0.481441 0.134961i
\(77\) 13.4328i 1.53081i
\(78\) −5.61575 4.01561i −0.635858 0.454679i
\(79\) −8.05412 + 9.59853i −0.906159 + 1.07992i 0.0903059 + 0.995914i \(0.471216\pi\)
−0.996465 + 0.0840047i \(0.973229\pi\)
\(80\) 1.14133 3.13578i 0.127605 0.350591i
\(81\) −1.21076 8.91819i −0.134529 0.990910i
\(82\) 0.926617 0.777524i 0.102328 0.0858631i
\(83\) −8.01579 + 4.62792i −0.879848 + 0.507980i −0.870608 0.491977i \(-0.836274\pi\)
−0.00923947 + 0.999957i \(0.502941\pi\)
\(84\) 3.06734 2.10283i 0.334674 0.229438i
\(85\) −0.237488 1.34686i −0.0257591 0.146087i
\(86\) 1.08543 + 6.15577i 0.117045 + 0.663794i
\(87\) −6.62378 + 4.54097i −0.710143 + 0.486843i
\(88\) 5.41799 3.12808i 0.577560 0.333454i
\(89\) 5.61888 4.71480i 0.595600 0.499767i −0.294428 0.955674i \(-0.595129\pi\)
0.890028 + 0.455906i \(0.150685\pi\)
\(90\) −5.17619 + 8.56906i −0.545618 + 0.903258i
\(91\) −2.92708 + 8.04207i −0.306841 + 0.843038i
\(92\) −0.527000 + 0.628054i −0.0549435 + 0.0654792i
\(93\) 3.29599 + 2.35684i 0.341778 + 0.244393i
\(94\) 7.71642i 0.795888i
\(95\) −5.99513 13.2528i −0.615087 1.35971i
\(96\) 1.56245 + 0.747499i 0.159467 + 0.0762913i
\(97\) −16.0734 2.83418i −1.63201 0.287767i −0.718786 0.695231i \(-0.755302\pi\)
−0.913221 + 0.407464i \(0.866413\pi\)
\(98\) 1.83073 + 1.53616i 0.184931 + 0.155176i
\(99\) −17.7602 + 6.06880i −1.78497 + 0.609937i
\(100\) 5.76571 2.09855i 0.576571 0.209855i
\(101\) 3.69207 + 4.40004i 0.367375 + 0.437820i 0.917787 0.397073i \(-0.129974\pi\)
−0.550412 + 0.834893i \(0.685529\pi\)
\(102\) 0.707735 0.0548653i 0.0700762 0.00543248i
\(103\) −0.957127 0.552597i −0.0943085 0.0544490i 0.452104 0.891965i \(-0.350674\pi\)
−0.546413 + 0.837516i \(0.684007\pi\)
\(104\) −3.92533 + 0.692141i −0.384910 + 0.0678700i
\(105\) 11.9549 + 3.33049i 1.16668 + 0.325023i
\(106\) −0.117334 + 0.203228i −0.0113965 + 0.0197393i
\(107\) 3.47626 + 6.02105i 0.336062 + 0.582077i 0.983688 0.179881i \(-0.0575713\pi\)
−0.647626 + 0.761958i \(0.724238\pi\)
\(108\) −4.16607 3.10546i −0.400880 0.298823i
\(109\) 2.42887 + 6.67327i 0.232644 + 0.639183i 0.999998 0.00204008i \(-0.000649379\pi\)
−0.767354 + 0.641223i \(0.778427\pi\)
\(110\) 19.6179 + 7.14034i 1.87050 + 0.680805i
\(111\) 9.48286 4.30817i 0.900074 0.408914i
\(112\) 0.372845 2.11451i 0.0352305 0.199802i
\(113\) −2.33000 −0.219188 −0.109594 0.993976i \(-0.534955\pi\)
−0.109594 + 0.993976i \(0.534955\pi\)
\(114\) 7.14818 2.42971i 0.669489 0.227563i
\(115\) −2.73592 −0.255125
\(116\) −0.805141 + 4.56618i −0.0747555 + 0.423960i
\(117\) 11.9553 + 0.236716i 1.10527 + 0.0218844i
\(118\) −5.03470 1.83248i −0.463482 0.168693i
\(119\) −0.300968 0.826903i −0.0275897 0.0758021i
\(120\) 1.44061 + 5.59749i 0.131509 + 0.510978i
\(121\) 14.0697 + 24.3695i 1.27907 + 2.21541i
\(122\) −3.88800 + 6.73422i −0.352003 + 0.609687i
\(123\) −0.562260 + 2.01825i −0.0506973 + 0.181980i
\(124\) 2.30385 0.406231i 0.206892 0.0364806i
\(125\) 3.28225 + 1.89501i 0.293573 + 0.169495i
\(126\) −2.32248 + 6.00812i −0.206903 + 0.535246i
\(127\) 0.792153 + 0.944052i 0.0702922 + 0.0837710i 0.800045 0.599941i \(-0.204809\pi\)
−0.729752 + 0.683712i \(0.760365\pi\)
\(128\) 0.939693 0.342020i 0.0830579 0.0302306i
\(129\) −7.57940 7.73096i −0.667329 0.680673i
\(130\) −10.1892 8.54971i −0.893648 0.749859i
\(131\) −6.34320 1.11848i −0.554208 0.0977218i −0.110472 0.993879i \(-0.535236\pi\)
−0.443736 + 0.896157i \(0.646347\pi\)
\(132\) −4.67647 + 9.77492i −0.407035 + 0.850798i
\(133\) −5.27955 7.72783i −0.457795 0.670088i
\(134\) 3.54068i 0.305868i
\(135\) −0.997698 17.3110i −0.0858682 1.48989i
\(136\) 0.263438 0.313953i 0.0225896 0.0269213i
\(137\) −3.68452 + 10.1231i −0.314790 + 0.864878i 0.676882 + 0.736091i \(0.263331\pi\)
−0.991672 + 0.128787i \(0.958892\pi\)
\(138\) 0.137762 1.41335i 0.0117271 0.120313i
\(139\) 6.45972 5.42035i 0.547906 0.459748i −0.326325 0.945258i \(-0.605810\pi\)
0.874231 + 0.485510i \(0.161366\pi\)
\(140\) 6.20509 3.58251i 0.524426 0.302777i
\(141\) −7.55723 11.0235i −0.636434 0.928346i
\(142\) −0.775757 4.39954i −0.0651001 0.369201i
\(143\) −4.33014 24.5575i −0.362105 2.05360i
\(144\) −2.96416 + 0.462356i −0.247013 + 0.0385297i
\(145\) −13.3996 + 7.73627i −1.11278 + 0.642462i
\(146\) 4.33185 3.63485i 0.358506 0.300823i
\(147\) −4.11981 0.401566i −0.339796 0.0331206i
\(148\) 2.05672 5.65080i 0.169062 0.464493i
\(149\) 3.41271 4.06711i 0.279580 0.333190i −0.607920 0.793998i \(-0.707996\pi\)
0.887500 + 0.460808i \(0.152440\pi\)
\(150\) −6.18151 + 8.64471i −0.504718 + 0.705838i
\(151\) 2.55987i 0.208319i −0.994561 0.104160i \(-0.966785\pi\)
0.994561 0.104160i \(-0.0332153\pi\)
\(152\) 1.88751 3.92903i 0.153097 0.318687i
\(153\) −0.957320 + 0.771514i −0.0773948 + 0.0623732i
\(154\) 13.2287 + 2.33258i 1.06600 + 0.187964i
\(155\) 5.98021 + 5.01799i 0.480342 + 0.403055i
\(156\) 4.92977 4.83313i 0.394698 0.386960i
\(157\) 15.7565 5.73489i 1.25750 0.457694i 0.374573 0.927197i \(-0.377789\pi\)
0.882931 + 0.469503i \(0.155567\pi\)
\(158\) −8.05412 9.59853i −0.640751 0.763618i
\(159\) −0.0314153 0.405241i −0.00249139 0.0321377i
\(160\) 2.88995 + 1.66851i 0.228471 + 0.131908i
\(161\) −1.73361 + 0.305683i −0.136628 + 0.0240912i
\(162\) 8.99295 + 0.356262i 0.706553 + 0.0279906i
\(163\) 5.28499 9.15387i 0.413952 0.716987i −0.581365 0.813643i \(-0.697481\pi\)
0.995318 + 0.0966559i \(0.0308146\pi\)
\(164\) 0.604806 + 1.04755i 0.0472274 + 0.0818003i
\(165\) −35.0188 + 9.01269i −2.72621 + 0.701637i
\(166\) −3.16568 8.69765i −0.245705 0.675068i
\(167\) 10.5199 + 3.82893i 0.814054 + 0.296292i 0.715298 0.698820i \(-0.246291\pi\)
0.0987568 + 0.995112i \(0.468513\pi\)
\(168\) 1.53825 + 3.38589i 0.118678 + 0.261227i
\(169\) −0.501366 + 2.84339i −0.0385666 + 0.218722i
\(170\) 1.36764 0.104893
\(171\) −7.83214 + 10.4717i −0.598939 + 0.800795i
\(172\) −6.25073 −0.476614
\(173\) −3.80558 + 21.5825i −0.289333 + 1.64089i 0.400051 + 0.916493i \(0.368993\pi\)
−0.689384 + 0.724396i \(0.742119\pi\)
\(174\) −3.32178 7.31168i −0.251823 0.554297i
\(175\) 12.3797 + 4.50585i 0.935819 + 0.340610i
\(176\) 2.13973 + 5.87886i 0.161288 + 0.443136i
\(177\) 8.98713 2.31300i 0.675514 0.173855i
\(178\) 3.66746 + 6.35223i 0.274888 + 0.476120i
\(179\) 10.6934 18.5215i 0.799263 1.38436i −0.120833 0.992673i \(-0.538557\pi\)
0.920097 0.391692i \(-0.128110\pi\)
\(180\) −7.54004 6.58555i −0.562001 0.490858i
\(181\) −18.0057 + 3.17489i −1.33835 + 0.235988i −0.796578 0.604536i \(-0.793359\pi\)
−0.541775 + 0.840523i \(0.682248\pi\)
\(182\) −7.41162 4.27910i −0.549386 0.317188i
\(183\) −1.04098 13.4281i −0.0769516 0.992637i
\(184\) −0.527000 0.628054i −0.0388509 0.0463008i
\(185\) 18.8569 6.86334i 1.38639 0.504603i
\(186\) −2.89338 + 2.83666i −0.212153 + 0.207994i
\(187\) 1.96414 + 1.64811i 0.143632 + 0.120522i
\(188\) −7.59919 1.33994i −0.554228 0.0977253i
\(189\) −2.56634 10.8576i −0.186674 0.789776i
\(190\) 14.0925 3.60272i 1.02238 0.261369i
\(191\) 3.46116i 0.250441i −0.992129 0.125220i \(-0.960036\pi\)
0.992129 0.125220i \(-0.0399638\pi\)
\(192\) −1.00746 + 1.40891i −0.0727071 + 0.101679i
\(193\) 6.64414 7.91818i 0.478256 0.569963i −0.471934 0.881634i \(-0.656444\pi\)
0.950190 + 0.311671i \(0.100889\pi\)
\(194\) 5.58224 15.3371i 0.400781 1.10114i
\(195\) 22.9293 + 2.23497i 1.64200 + 0.160050i
\(196\) −1.83073 + 1.53616i −0.130766 + 0.109726i
\(197\) −10.2877 + 5.93959i −0.732966 + 0.423178i −0.819506 0.573070i \(-0.805752\pi\)
0.0865400 + 0.996248i \(0.472419\pi\)
\(198\) −2.89257 18.5442i −0.205566 1.31788i
\(199\) 4.24330 + 24.0650i 0.300800 + 1.70592i 0.642645 + 0.766164i \(0.277837\pi\)
−0.341845 + 0.939756i \(0.611052\pi\)
\(200\) 1.06546 + 6.04253i 0.0753395 + 0.427271i
\(201\) −3.46764 5.05813i −0.244588 0.356773i
\(202\) −4.97432 + 2.87192i −0.349992 + 0.202068i
\(203\) −7.62630 + 6.39922i −0.535261 + 0.449137i
\(204\) −0.0688651 + 0.706510i −0.00482152 + 0.0494656i
\(205\) −1.38057 + 3.79308i −0.0964230 + 0.264920i
\(206\) 0.710405 0.846628i 0.0494963 0.0589874i
\(207\) 1.18739 + 2.15400i 0.0825294 + 0.149714i
\(208\) 3.98588i 0.276371i
\(209\) 24.5807 + 11.8085i 1.70028 + 0.816814i
\(210\) −5.35585 + 11.1950i −0.369588 + 0.772527i
\(211\) −16.3173 2.87718i −1.12333 0.198074i −0.419028 0.907973i \(-0.637629\pi\)
−0.704303 + 0.709900i \(0.748740\pi\)
\(212\) −0.179766 0.150842i −0.0123464 0.0103598i
\(213\) 5.41701 + 5.52533i 0.371167 + 0.378589i
\(214\) −6.53323 + 2.37790i −0.446602 + 0.162550i
\(215\) −13.4078 15.9788i −0.914405 1.08975i
\(216\) 3.78171 3.56352i 0.257313 0.242467i
\(217\) 4.35002 + 2.51149i 0.295299 + 0.170491i
\(218\) −6.99366 + 1.23317i −0.473670 + 0.0835208i
\(219\) −2.62851 + 9.43516i −0.177619 + 0.637569i
\(220\) −10.4385 + 18.0800i −0.703762 + 1.21895i
\(221\) −0.816781 1.41471i −0.0549426 0.0951634i
\(222\) 2.59604 + 10.0869i 0.174235 + 0.676989i
\(223\) −4.05122 11.1306i −0.271290 0.745362i −0.998275 0.0587091i \(-0.981302\pi\)
0.726986 0.686653i \(-0.240921\pi\)
\(224\) 2.01764 + 0.734361i 0.134809 + 0.0490665i
\(225\) 0.364394 18.4036i 0.0242929 1.22691i
\(226\) 0.404601 2.29460i 0.0269136 0.152635i
\(227\) 23.0722 1.53135 0.765676 0.643226i \(-0.222405\pi\)
0.765676 + 0.643226i \(0.222405\pi\)
\(228\) 1.15153 + 7.46150i 0.0762618 + 0.494150i
\(229\) 14.0461 0.928192 0.464096 0.885785i \(-0.346379\pi\)
0.464096 + 0.885785i \(0.346379\pi\)
\(230\) 0.475087 2.69435i 0.0313263 0.177660i
\(231\) −21.1827 + 9.62353i −1.39372 + 0.633182i
\(232\) −4.35700 1.58582i −0.286051 0.104114i
\(233\) 8.06779 + 22.1661i 0.528539 + 1.45215i 0.860792 + 0.508958i \(0.169969\pi\)
−0.332253 + 0.943190i \(0.607809\pi\)
\(234\) −2.30914 + 11.7326i −0.150953 + 0.766982i
\(235\) −12.8749 22.3001i −0.839869 1.45470i
\(236\) 2.67891 4.64000i 0.174382 0.302038i
\(237\) 20.9065 + 5.82427i 1.35802 + 0.378327i
\(238\) 0.866603 0.152806i 0.0561735 0.00990491i
\(239\) 23.6023 + 13.6268i 1.52670 + 0.881443i 0.999497 + 0.0317050i \(0.0100937\pi\)
0.527206 + 0.849738i \(0.323240\pi\)
\(240\) −5.76261 + 0.446732i −0.371975 + 0.0288364i
\(241\) 13.6728 + 16.2946i 0.880739 + 1.04962i 0.998399 + 0.0565704i \(0.0180165\pi\)
−0.117659 + 0.993054i \(0.537539\pi\)
\(242\) −26.4425 + 9.62427i −1.69979 + 0.618672i
\(243\) −13.1960 + 8.29848i −0.846526 + 0.532348i
\(244\) −5.95676 4.99832i −0.381343 0.319985i
\(245\) −7.85381 1.38484i −0.501762 0.0884741i
\(246\) −1.88996 0.904184i −0.120499 0.0576487i
\(247\) −12.1431 12.4259i −0.772645 0.790643i
\(248\) 2.33939i 0.148552i
\(249\) 13.0406 + 9.32488i 0.826417 + 0.590940i
\(250\) −2.43617 + 2.90332i −0.154077 + 0.183622i
\(251\) −0.848967 + 2.33252i −0.0535863 + 0.147227i −0.963598 0.267355i \(-0.913850\pi\)
0.910012 + 0.414583i \(0.136072\pi\)
\(252\) −5.51355 3.33049i −0.347321 0.209801i
\(253\) 3.92920 3.29699i 0.247027 0.207280i
\(254\) −1.06727 + 0.616186i −0.0669662 + 0.0386629i
\(255\) −1.95377 + 1.33942i −0.122350 + 0.0838779i
\(256\) 0.173648 + 0.984808i 0.0108530 + 0.0615505i
\(257\) −1.95465 11.0854i −0.121928 0.691488i −0.983085 0.183149i \(-0.941371\pi\)
0.861157 0.508339i \(-0.169740\pi\)
\(258\) 8.92965 6.12178i 0.555936 0.381126i
\(259\) 11.1818 6.45583i 0.694805 0.401146i
\(260\) 10.1892 8.54971i 0.631904 0.530231i
\(261\) 11.9063 + 7.19205i 0.736979 + 0.445176i
\(262\) 2.20297 6.05261i 0.136100 0.373931i
\(263\) −7.57578 + 9.02847i −0.467143 + 0.556719i −0.947252 0.320490i \(-0.896153\pi\)
0.480109 + 0.877209i \(0.340597\pi\)
\(264\) −8.81436 6.30282i −0.542486 0.387912i
\(265\) 0.783093i 0.0481050i
\(266\) 8.52721 3.85742i 0.522837 0.236513i
\(267\) −11.4604 5.48285i −0.701367 0.335545i
\(268\) −3.48689 0.614832i −0.212996 0.0375569i
\(269\) −8.96522 7.52271i −0.546619 0.458668i 0.327175 0.944964i \(-0.393903\pi\)
−0.873794 + 0.486296i \(0.838348\pi\)
\(270\) 17.2212 + 2.02348i 1.04805 + 0.123145i
\(271\) −29.1999 + 10.6279i −1.77377 + 0.645598i −0.773841 + 0.633380i \(0.781667\pi\)
−0.999925 + 0.0122180i \(0.996111\pi\)
\(272\) 0.263438 + 0.313953i 0.0159733 + 0.0190362i
\(273\) 14.7789 1.14570i 0.894459 0.0693406i
\(274\) −9.32954 5.38641i −0.563618 0.325405i
\(275\) −37.8030 + 6.66569i −2.27961 + 0.401956i
\(276\) 1.36796 + 0.381096i 0.0823414 + 0.0229393i
\(277\) 1.91965 3.32494i 0.115341 0.199776i −0.802575 0.596551i \(-0.796537\pi\)
0.917916 + 0.396775i \(0.129871\pi\)
\(278\) 4.21628 + 7.30281i 0.252876 + 0.437994i
\(279\) 1.35528 6.88607i 0.0811383 0.412258i
\(280\) 2.45058 + 6.73292i 0.146450 + 0.402369i
\(281\) −23.0658 8.39528i −1.37599 0.500820i −0.455031 0.890475i \(-0.650372\pi\)
−0.920961 + 0.389655i \(0.872594\pi\)
\(282\) 12.1683 5.52821i 0.724614 0.329200i
\(283\) −4.03563 + 22.8872i −0.239894 + 1.36050i 0.592165 + 0.805817i \(0.298273\pi\)
−0.832059 + 0.554688i \(0.812838\pi\)
\(284\) 4.46741 0.265092
\(285\) −16.6039 + 18.9486i −0.983529 + 1.12242i
\(286\) 24.9363 1.47451
\(287\) −0.450998 + 2.55773i −0.0266215 + 0.150978i
\(288\) 0.0593887 2.99941i 0.00349951 0.176742i
\(289\) −15.8169 5.75689i −0.930408 0.338641i
\(290\) −5.29192 14.5394i −0.310752 0.853785i
\(291\) 7.04602 + 27.3773i 0.413045 + 1.60488i
\(292\) 2.82741 + 4.89723i 0.165462 + 0.286588i
\(293\) −5.48661 + 9.50309i −0.320531 + 0.555177i −0.980598 0.196031i \(-0.937195\pi\)
0.660066 + 0.751207i \(0.270528\pi\)
\(294\) 1.11086 3.98749i 0.0647868 0.232555i
\(295\) 17.6075 3.10468i 1.02515 0.180762i
\(296\) 5.20781 + 3.00673i 0.302698 + 0.174763i
\(297\) 22.2939 + 23.6590i 1.29363 + 1.37283i
\(298\) 3.41271 + 4.06711i 0.197693 + 0.235601i
\(299\) −3.07081 + 1.11768i −0.177590 + 0.0646374i
\(300\) −7.43997 7.58874i −0.429547 0.438136i
\(301\) −10.2812 8.62693i −0.592597 0.497248i
\(302\) 2.52098 + 0.444517i 0.145066 + 0.0255791i
\(303\) 4.29352 8.97446i 0.246656 0.515569i
\(304\) 3.54158 + 2.54110i 0.203124 + 0.145742i
\(305\) 25.9487i 1.48582i
\(306\) −0.593556 1.07675i −0.0339313 0.0615536i
\(307\) −0.351542 + 0.418952i −0.0200636 + 0.0239108i −0.775983 0.630754i \(-0.782746\pi\)
0.755919 + 0.654665i \(0.227190\pi\)
\(308\) −4.59428 + 12.6227i −0.261783 + 0.719243i
\(309\) −0.185706 + 1.90522i −0.0105645 + 0.108384i
\(310\) −5.98021 + 5.01799i −0.339653 + 0.285003i
\(311\) −12.1908 + 7.03836i −0.691277 + 0.399109i −0.804090 0.594507i \(-0.797347\pi\)
0.112813 + 0.993616i \(0.464014\pi\)
\(312\) 3.90366 + 5.69414i 0.221001 + 0.322367i
\(313\) −3.23018 18.3193i −0.182580 1.03547i −0.929025 0.370018i \(-0.879352\pi\)
0.746444 0.665448i \(-0.231759\pi\)
\(314\) 2.91168 + 16.5130i 0.164316 + 0.931880i
\(315\) −3.31279 21.2382i −0.186655 1.19664i
\(316\) 10.8513 6.26499i 0.610433 0.352433i
\(317\) 20.8301 17.4785i 1.16993 0.981690i 0.169940 0.985454i \(-0.445643\pi\)
0.999993 + 0.00376423i \(0.00119819\pi\)
\(318\) 0.404540 + 0.0394314i 0.0226855 + 0.00221120i
\(319\) 9.92113 27.2581i 0.555477 1.52616i
\(320\) −2.14500 + 2.55631i −0.119909 + 0.142902i
\(321\) 7.00437 9.79546i 0.390946 0.546730i
\(322\) 1.76036i 0.0981009i
\(323\) 1.77773 + 0.176176i 0.0989155 + 0.00980270i
\(324\) −1.91246 + 8.79446i −0.106248 + 0.488581i
\(325\) 24.0848 + 4.24680i 1.33598 + 0.235570i
\(326\) 8.09708 + 6.79425i 0.448456 + 0.376299i
\(327\) 8.78325 8.61106i 0.485715 0.476193i
\(328\) −1.13666 + 0.413712i −0.0627618 + 0.0228434i
\(329\) −10.6498 12.6919i −0.587142 0.699729i
\(330\) −2.79482 36.0518i −0.153850 1.98459i
\(331\) 25.4221 + 14.6775i 1.39733 + 0.806746i 0.994112 0.108360i \(-0.0345598\pi\)
0.403214 + 0.915106i \(0.367893\pi\)
\(332\) 9.11522 1.60726i 0.500263 0.0882098i
\(333\) −13.5875 11.8674i −0.744588 0.650332i
\(334\) −5.59752 + 9.69519i −0.306283 + 0.530497i
\(335\) −5.90767 10.2324i −0.322770 0.559055i
\(336\) −3.60157 + 0.926926i −0.196482 + 0.0505680i
\(337\) 4.60842 + 12.6615i 0.251037 + 0.689717i 0.999643 + 0.0267031i \(0.00850087\pi\)
−0.748607 + 0.663014i \(0.769277\pi\)
\(338\) −2.71313 0.987499i −0.147575 0.0537129i
\(339\) 1.66926 + 3.67427i 0.0906620 + 0.199559i
\(340\) −0.237488 + 1.34686i −0.0128796 + 0.0730437i
\(341\) −14.6356 −0.792562
\(342\) −8.95262 9.53156i −0.484102 0.515408i
\(343\) −20.1612 −1.08860
\(344\) 1.08543 6.15577i 0.0585224 0.331897i
\(345\) 1.96007 + 4.31437i 0.105527 + 0.232278i
\(346\) −20.5938 7.49553i −1.10713 0.402962i
\(347\) −2.06013 5.66016i −0.110594 0.303854i 0.872033 0.489447i \(-0.162801\pi\)
−0.982627 + 0.185594i \(0.940579\pi\)
\(348\) 7.77742 2.00165i 0.416913 0.107300i
\(349\) −14.3065 24.7795i −0.765808 1.32642i −0.939818 0.341675i \(-0.889006\pi\)
0.174010 0.984744i \(-0.444328\pi\)
\(350\) −6.58711 + 11.4092i −0.352096 + 0.609848i
\(351\) −8.19175 19.0224i −0.437243 1.01534i
\(352\) −6.16111 + 1.08637i −0.328388 + 0.0579037i
\(353\) −14.6066 8.43315i −0.777433 0.448851i 0.0580867 0.998312i \(-0.481500\pi\)
−0.835520 + 0.549460i \(0.814833\pi\)
\(354\) 0.717257 + 9.25225i 0.0381218 + 0.491751i
\(355\) 9.58259 + 11.4201i 0.508591 + 0.606115i
\(356\) −6.89257 + 2.50869i −0.365306 + 0.132960i
\(357\) −1.08836 + 1.06702i −0.0576019 + 0.0564727i
\(358\) 16.3833 + 13.7472i 0.865882 + 0.726561i
\(359\) 16.2813 + 2.87084i 0.859295 + 0.151517i 0.585898 0.810385i \(-0.300742\pi\)
0.273397 + 0.961901i \(0.411853\pi\)
\(360\) 7.79482 6.28192i 0.410823 0.331086i
\(361\) 18.7823 2.86764i 0.988545 0.150928i
\(362\) 18.2835i 0.960958i
\(363\) 28.3494 39.6460i 1.48796 2.08088i
\(364\) 5.50110 6.55596i 0.288336 0.343626i
\(365\) −6.45403 + 17.7323i −0.337819 + 0.928151i
\(366\) 13.4049 + 1.30661i 0.700686 + 0.0682974i
\(367\) −7.32428 + 6.14580i −0.382324 + 0.320808i −0.813614 0.581405i \(-0.802503\pi\)
0.431290 + 0.902213i \(0.358059\pi\)
\(368\) 0.710025 0.409933i 0.0370126 0.0213692i
\(369\) 3.58548 0.559271i 0.186653 0.0291145i
\(370\) 3.48461 + 19.7622i 0.181156 + 1.02739i
\(371\) −0.0874947 0.496207i −0.00454250 0.0257618i
\(372\) −2.29113 3.34200i −0.118790 0.173275i
\(373\) 3.75197 2.16620i 0.194270 0.112162i −0.399710 0.916642i \(-0.630889\pi\)
0.593980 + 0.804480i \(0.297556\pi\)
\(374\) −1.96414 + 1.64811i −0.101563 + 0.0852217i
\(375\) 0.636837 6.53353i 0.0328861 0.337390i
\(376\) 2.63917 7.25106i 0.136105 0.373945i
\(377\) −11.8794 + 14.1573i −0.611819 + 0.729138i
\(378\) 11.1383 0.641944i 0.572893 0.0330180i
\(379\) 5.96818i 0.306565i −0.988182 0.153282i \(-0.951016\pi\)
0.988182 0.153282i \(-0.0489844\pi\)
\(380\) 1.10084 + 14.5040i 0.0564719 + 0.744042i
\(381\) 0.921197 1.92552i 0.0471943 0.0986472i
\(382\) 3.40858 + 0.601025i 0.174398 + 0.0307511i
\(383\) −3.37004 2.82780i −0.172201 0.144494i 0.552614 0.833437i \(-0.313630\pi\)
−0.724815 + 0.688944i \(0.758075\pi\)
\(384\) −1.21256 1.23681i −0.0618783 0.0631156i
\(385\) −42.1222 + 15.3312i −2.14675 + 0.781351i
\(386\) 6.64414 + 7.91818i 0.338178 + 0.403025i
\(387\) −6.76121 + 17.4909i −0.343692 + 0.889112i
\(388\) 14.1347 + 8.16068i 0.717582 + 0.414296i
\(389\) 14.5009 2.55689i 0.735223 0.129640i 0.206515 0.978443i \(-0.433788\pi\)
0.528708 + 0.848804i \(0.322677\pi\)
\(390\) −6.18265 + 22.1929i −0.313071 + 1.12378i
\(391\) 0.168006 0.290994i 0.00849641 0.0147162i
\(392\) −1.19492 2.06967i −0.0603527 0.104534i
\(393\) 2.78064 + 10.8041i 0.140264 + 0.544997i
\(394\) −4.06292 11.1628i −0.204687 0.562373i
\(395\) 39.2913 + 14.3009i 1.97696 + 0.719554i
\(396\) 18.7648 + 0.371545i 0.942966 + 0.0186708i
\(397\) 1.74751 9.91059i 0.0877048 0.497398i −0.909035 0.416719i \(-0.863180\pi\)
0.996740 0.0806794i \(-0.0257090\pi\)
\(398\) −24.4362 −1.22488
\(399\) −8.40394 + 13.8619i −0.420723 + 0.693964i
\(400\) −6.13575 −0.306787
\(401\) 2.58090 14.6370i 0.128884 0.730937i −0.850041 0.526717i \(-0.823423\pi\)
0.978925 0.204221i \(-0.0654660\pi\)
\(402\) 5.58344 2.53662i 0.278476 0.126515i
\(403\) 8.76220 + 3.18918i 0.436476 + 0.158864i
\(404\) −1.96451 5.39745i −0.0977381 0.268533i
\(405\) −26.5836 + 13.9753i −1.32095 + 0.694437i
\(406\) −4.97771 8.62165i −0.247040 0.427885i
\(407\) −18.8106 + 32.5809i −0.932405 + 1.61497i
\(408\) −0.683818 0.190503i −0.0338540 0.00943130i
\(409\) −9.81162 + 1.73005i −0.485153 + 0.0855456i −0.410874 0.911692i \(-0.634777\pi\)
−0.0742787 + 0.997238i \(0.523665\pi\)
\(410\) −3.49572 2.01825i −0.172641 0.0996745i
\(411\) 18.6033 1.44217i 0.917631 0.0711370i
\(412\) 0.710405 + 0.846628i 0.0349992 + 0.0417104i
\(413\) 10.8101 3.93457i 0.531932 0.193607i
\(414\) −2.32747 + 0.795313i −0.114389 + 0.0390875i
\(415\) 23.6608 + 19.8538i 1.16146 + 0.974583i
\(416\) 3.92533 + 0.692141i 0.192455 + 0.0339350i
\(417\) −13.1754 6.30333i −0.645204 0.308676i
\(418\) −15.8975 + 22.1567i −0.777574 + 1.08372i
\(419\) 8.34847i 0.407849i −0.978987 0.203925i \(-0.934630\pi\)
0.978987 0.203925i \(-0.0653698\pi\)
\(420\) −10.0949 7.21847i −0.492579 0.352225i
\(421\) 23.4446 27.9402i 1.14262 1.36172i 0.220234 0.975447i \(-0.429318\pi\)
0.922384 0.386273i \(-0.126238\pi\)
\(422\) 5.66695 15.5698i 0.275863 0.757926i
\(423\) −11.9692 + 19.8148i −0.581964 + 0.963428i
\(424\) 0.179766 0.150842i 0.00873021 0.00732552i
\(425\) −2.17775 + 1.25733i −0.105637 + 0.0609893i
\(426\) −6.38204 + 4.37525i −0.309211 + 0.211981i
\(427\) −2.89924 16.4424i −0.140304 0.795705i
\(428\) −1.20729 6.84689i −0.0583566 0.330957i
\(429\) −35.6234 + 24.4219i −1.71992 + 1.17910i
\(430\) 18.0643 10.4294i 0.871138 0.502952i
\(431\) −8.05751 + 6.76105i −0.388116 + 0.325668i −0.815879 0.578223i \(-0.803746\pi\)
0.427762 + 0.903891i \(0.359302\pi\)
\(432\) 2.85269 + 4.34306i 0.137250 + 0.208955i
\(433\) −12.6127 + 34.6530i −0.606126 + 1.66532i 0.132485 + 0.991185i \(0.457704\pi\)
−0.738611 + 0.674132i \(0.764518\pi\)
\(434\) −3.22870 + 3.84782i −0.154983 + 0.184701i
\(435\) 21.7994 + 15.5879i 1.04520 + 0.747385i
\(436\) 7.10155i 0.340102i
\(437\) 0.964625 3.44107i 0.0461443 0.164608i
\(438\) −8.83538 4.22698i −0.422171 0.201973i
\(439\) 13.1107 + 2.31177i 0.625739 + 0.110335i 0.477522 0.878620i \(-0.341535\pi\)
0.148218 + 0.988955i \(0.452646\pi\)
\(440\) −15.9927 13.4195i −0.762421 0.639747i
\(441\) 2.31827 + 6.78438i 0.110394 + 0.323066i
\(442\) 1.53505 0.558711i 0.0730147 0.0265752i
\(443\) −4.79891 5.71912i −0.228003 0.271724i 0.639899 0.768459i \(-0.278976\pi\)
−0.867902 + 0.496736i \(0.834532\pi\)
\(444\) −10.3845 + 0.805029i −0.492825 + 0.0382050i
\(445\) −21.1976 12.2384i −1.00486 0.580156i
\(446\) 11.6650 2.05686i 0.552354 0.0973950i
\(447\) −8.85852 2.46787i −0.418994 0.116726i
\(448\) −1.07356 + 1.85947i −0.0507211 + 0.0878516i
\(449\) −12.1781 21.0931i −0.574722 0.995447i −0.996072 0.0885490i \(-0.971777\pi\)
0.421350 0.906898i \(-0.361556\pi\)
\(450\) 18.0608 + 3.55461i 0.851392 + 0.167566i
\(451\) −2.58825 7.11115i −0.121876 0.334851i
\(452\) 2.18949 + 0.796908i 0.102985 + 0.0374834i
\(453\) −4.03676 + 1.83395i −0.189664 + 0.0861664i
\(454\) −4.00644 + 22.7216i −0.188031 + 1.06638i
\(455\) 28.5589 1.33886
\(456\) −7.54810 0.161642i −0.353472 0.00756956i
\(457\) −34.8127 −1.62847 −0.814236 0.580534i \(-0.802844\pi\)
−0.814236 + 0.580534i \(0.802844\pi\)
\(458\) −2.43908 + 13.8327i −0.113971 + 0.646360i
\(459\) 1.90248 + 0.956907i 0.0888000 + 0.0446646i
\(460\) 2.57092 + 0.935738i 0.119870 + 0.0436290i
\(461\) −0.765028 2.10190i −0.0356309 0.0978951i 0.920601 0.390503i \(-0.127699\pi\)
−0.956232 + 0.292608i \(0.905477\pi\)
\(462\) −5.79899 22.5320i −0.269794 1.04828i
\(463\) 1.84091 + 3.18854i 0.0855541 + 0.148184i 0.905627 0.424075i \(-0.139401\pi\)
−0.820073 + 0.572259i \(0.806067\pi\)
\(464\) 2.31831 4.01543i 0.107625 0.186412i
\(465\) 3.62872 13.0254i 0.168278 0.604040i
\(466\) −23.2303 + 4.09613i −1.07612 + 0.189749i
\(467\) 11.3948 + 6.57879i 0.527288 + 0.304430i 0.739911 0.672704i \(-0.234867\pi\)
−0.212623 + 0.977134i \(0.568201\pi\)
\(468\) −11.1533 4.31139i −0.515564 0.199294i
\(469\) −4.88666 5.82369i −0.225645 0.268913i
\(470\) 24.1970 8.80698i 1.11612 0.406236i
\(471\) −20.3319 20.7384i −0.936843 0.955576i
\(472\) 4.10432 + 3.44394i 0.188917 + 0.158520i
\(473\) 38.5115 + 6.79061i 1.77076 + 0.312233i
\(474\) −9.36615 + 19.5775i −0.430202 + 0.899223i
\(475\) −19.1281 + 18.6927i −0.877658 + 0.857678i
\(476\) 0.879972i 0.0403335i
\(477\) −0.616534 + 0.339864i −0.0282292 + 0.0155613i
\(478\) −17.5182 + 20.8774i −0.801266 + 0.954911i
\(479\) 11.4643 31.4978i 0.523816 1.43917i −0.342424 0.939546i \(-0.611248\pi\)
0.866240 0.499628i \(-0.166530\pi\)
\(480\) 0.560722 5.75264i 0.0255933 0.262571i
\(481\) 18.3613 15.4069i 0.837202 0.702496i
\(482\) −18.4213 + 10.6355i −0.839065 + 0.484434i
\(483\) 1.72404 + 2.51481i 0.0784466 + 0.114428i
\(484\) −4.88637 27.7120i −0.222108 1.25964i
\(485\) 9.45772 + 53.6374i 0.429453 + 2.43555i
\(486\) −5.88094 14.4366i −0.266765 0.654856i
\(487\) −15.2052 + 8.77875i −0.689015 + 0.397803i −0.803243 0.595651i \(-0.796894\pi\)
0.114228 + 0.993455i \(0.463561\pi\)
\(488\) 5.95676 4.99832i 0.269650 0.226263i
\(489\) −18.2214 1.77608i −0.824000 0.0803171i
\(490\) 2.72760 7.49402i 0.123220 0.338545i
\(491\) −15.8204 + 18.8540i −0.713964 + 0.850869i −0.994030 0.109112i \(-0.965199\pi\)
0.280065 + 0.959981i \(0.409644\pi\)
\(492\) 1.21863 1.70423i 0.0549403 0.0768328i
\(493\) 1.90026i 0.0855834i
\(494\) 14.3458 9.80084i 0.645447 0.440961i
\(495\) 39.3007 + 48.7656i 1.76643 + 2.19185i
\(496\) −2.30385 0.406231i −0.103446 0.0182403i
\(497\) 7.34797 + 6.16568i 0.329602 + 0.276569i
\(498\) −11.4477 + 11.2233i −0.512984 + 0.502927i
\(499\) 13.8001 5.02282i 0.617777 0.224852i −0.0141259 0.999900i \(-0.504497\pi\)
0.631902 + 0.775048i \(0.282274\pi\)
\(500\) −2.43617 2.90332i −0.108949 0.129840i
\(501\) −1.49869 19.3324i −0.0669567 0.863707i
\(502\) −2.14966 1.24111i −0.0959440 0.0553933i
\(503\) 4.24201 0.747980i 0.189142 0.0333508i −0.0782748 0.996932i \(-0.524941\pi\)
0.267417 + 0.963581i \(0.413830\pi\)
\(504\) 4.23731 4.85145i 0.188745 0.216101i
\(505\) 9.58368 16.5994i 0.426468 0.738665i
\(506\) 2.56461 + 4.44203i 0.114011 + 0.197472i
\(507\) 4.84305 1.24644i 0.215087 0.0553564i
\(508\) −0.421496 1.15805i −0.0187009 0.0513802i
\(509\) 4.35756 + 1.58602i 0.193145 + 0.0702991i 0.436782 0.899567i \(-0.356118\pi\)
−0.243637 + 0.969867i \(0.578340\pi\)
\(510\) −0.979805 2.15668i −0.0433865 0.0954994i
\(511\) −2.10837 + 11.9572i −0.0932690 + 0.528955i
\(512\) −1.00000 −0.0441942
\(513\) 22.1244 + 4.84863i 0.976818 + 0.214072i
\(514\) 11.2564 0.496498
\(515\) −0.640425 + 3.63203i −0.0282205 + 0.160047i
\(516\) 4.47816 + 9.85703i 0.197140 + 0.433932i
\(517\) 45.3638 + 16.5111i 1.99510 + 0.726156i
\(518\) 4.41605 + 12.1330i 0.194030 + 0.533093i
\(519\) 36.7608 9.46102i 1.61362 0.415293i
\(520\) 6.65050 + 11.5190i 0.291644 + 0.505141i
\(521\) 0.205968 0.356747i 0.00902363 0.0156294i −0.861478 0.507794i \(-0.830461\pi\)
0.870502 + 0.492165i \(0.163794\pi\)
\(522\) −9.15028 + 10.4765i −0.400497 + 0.458544i
\(523\) −19.2248 + 3.38986i −0.840643 + 0.148228i −0.577359 0.816490i \(-0.695917\pi\)
−0.263284 + 0.964718i \(0.584806\pi\)
\(524\) 5.57811 + 3.22053i 0.243681 + 0.140689i
\(525\) −1.76365 22.7502i −0.0769719 0.992899i
\(526\) −7.57578 9.02847i −0.330320 0.393660i
\(527\) −0.900948 + 0.327918i −0.0392459 + 0.0142843i
\(528\) 7.73767 7.58597i 0.336739 0.330137i
\(529\) 17.1041 + 14.3520i 0.743657 + 0.624002i
\(530\) 0.771196 + 0.135983i 0.0334986 + 0.00590671i
\(531\) −10.0860 12.5151i −0.437697 0.543109i
\(532\) 2.31808 + 9.06750i 0.100502 + 0.393126i
\(533\) 4.82137i 0.208837i
\(534\) 7.38963 10.3342i 0.319781 0.447206i
\(535\) 14.9131 17.7728i 0.644751 0.768385i
\(536\) 1.21098 3.32715i 0.0523065 0.143711i
\(537\) −36.8683 3.59364i −1.59099 0.155077i
\(538\) 8.96522 7.52271i 0.386518 0.324327i
\(539\) 12.9481 7.47562i 0.557716 0.321998i
\(540\) −4.98317 + 16.6082i −0.214442 + 0.714704i
\(541\) −3.15633 17.9005i −0.135701 0.769601i −0.974369 0.224957i \(-0.927776\pi\)
0.838667 0.544644i \(-0.183335\pi\)
\(542\) −5.39592 30.6018i −0.231775 1.31446i
\(543\) 17.9063 + 26.1194i 0.768433 + 1.12089i
\(544\) −0.354929 + 0.204918i −0.0152175 + 0.00878581i
\(545\) 18.1538 15.2328i 0.777622 0.652502i
\(546\) −1.43804 + 14.7533i −0.0615423 + 0.631383i
\(547\) 1.42436 3.91340i 0.0609014 0.167325i −0.905510 0.424324i \(-0.860512\pi\)
0.966412 + 0.256999i \(0.0827338\pi\)
\(548\) 6.92464 8.25246i 0.295806 0.352528i
\(549\) −20.4296 + 11.2618i −0.871914 + 0.480641i
\(550\) 38.3862i 1.63679i
\(551\) −5.00579 19.5808i −0.213254 0.834172i
\(552\) −0.612849 + 1.28100i −0.0260846 + 0.0545229i
\(553\) 26.4948 + 4.67174i 1.12667 + 0.198663i
\(554\) 2.94108 + 2.46786i 0.124955 + 0.104849i
\(555\) −24.3326 24.8191i −1.03286 1.05351i
\(556\) −7.92402 + 2.88411i −0.336053 + 0.122313i
\(557\) −9.16196 10.9188i −0.388205 0.462644i 0.536181 0.844103i \(-0.319866\pi\)
−0.924386 + 0.381459i \(0.875422\pi\)
\(558\) 6.54612 + 2.53044i 0.277119 + 0.107122i
\(559\) −21.5767 12.4573i −0.912599 0.526889i
\(560\) −7.05617 + 1.24419i −0.298178 + 0.0525767i
\(561\) 1.19182 4.27807i 0.0503185 0.180620i
\(562\) 12.2731 21.2576i 0.517708 0.896697i
\(563\) 3.28307 + 5.68645i 0.138365 + 0.239655i 0.926878 0.375363i \(-0.122482\pi\)
−0.788513 + 0.615018i \(0.789149\pi\)
\(564\) 3.33122 + 12.9434i 0.140270 + 0.545017i
\(565\) 2.65930 + 7.30637i 0.111878 + 0.307381i
\(566\) −21.8387 7.94865i −0.917950 0.334107i
\(567\) −15.2832 + 11.8256i −0.641836 + 0.496629i
\(568\) −0.775757 + 4.39954i −0.0325501 + 0.184601i
\(569\) −45.7506 −1.91797 −0.958983 0.283465i \(-0.908516\pi\)
−0.958983 + 0.283465i \(0.908516\pi\)
\(570\) −15.7775 19.6420i −0.660846 0.822714i
\(571\) 5.82547 0.243788 0.121894 0.992543i \(-0.461103\pi\)
0.121894 + 0.992543i \(0.461103\pi\)
\(572\) −4.33014 + 24.5575i −0.181052 + 1.02680i
\(573\) −5.45805 + 2.47965i −0.228013 + 0.103589i
\(574\) −2.44056 0.888292i −0.101867 0.0370766i
\(575\) 1.72053 + 4.72712i 0.0717510 + 0.197134i
\(576\) 2.94353 + 0.579329i 0.122647 + 0.0241387i
\(577\) −17.9425 31.0773i −0.746956 1.29377i −0.949276 0.314446i \(-0.898181\pi\)
0.202320 0.979319i \(-0.435152\pi\)
\(578\) 8.41602 14.5770i 0.350060 0.606322i
\(579\) −17.2465 4.80465i −0.716740 0.199675i
\(580\) 15.2375 2.68678i 0.632702 0.111562i
\(581\) 17.2109 + 9.93674i 0.714030 + 0.412245i
\(582\) −28.1849 + 2.18496i −1.16830 + 0.0905695i
\(583\) 0.943689 + 1.12464i 0.0390836 + 0.0465780i
\(584\) −5.31380 + 1.93407i −0.219887 + 0.0800322i
\(585\) −12.9027 37.7594i −0.533459 1.56116i
\(586\) −8.40598 7.05345i −0.347248 0.291376i
\(587\) −29.5771 5.21525i −1.22078 0.215256i −0.474118 0.880461i \(-0.657233\pi\)
−0.746661 + 0.665205i \(0.768344\pi\)
\(588\) 3.73401 + 1.78641i 0.153988 + 0.0736701i
\(589\) −8.41982 + 5.75231i −0.346932 + 0.237020i
\(590\) 17.8792i 0.736074i
\(591\) 16.7367 + 11.9678i 0.688456 + 0.492289i
\(592\) −3.86538 + 4.60658i −0.158866 + 0.189329i
\(593\) 0.268437 0.737526i 0.0110234 0.0302866i −0.934059 0.357119i \(-0.883759\pi\)
0.945082 + 0.326832i \(0.105981\pi\)
\(594\) −27.1708 + 17.8469i −1.11483 + 0.732267i
\(595\) −2.24948 + 1.88754i −0.0922198 + 0.0773816i
\(596\) −4.59793 + 2.65462i −0.188339 + 0.108737i
\(597\) 34.9090 23.9321i 1.42873 0.979476i
\(598\) −0.567463 3.21824i −0.0232053 0.131604i
\(599\) 2.35948 + 13.3813i 0.0964057 + 0.546744i 0.994308 + 0.106548i \(0.0339798\pi\)
−0.897902 + 0.440196i \(0.854909\pi\)
\(600\) 8.76539 6.00917i 0.357845 0.245323i
\(601\) 1.41283 0.815696i 0.0576304 0.0332729i −0.470908 0.882182i \(-0.656074\pi\)
0.528538 + 0.848909i \(0.322740\pi\)
\(602\) 10.2812 8.62693i 0.419029 0.351607i
\(603\) −5.49208 + 9.09201i −0.223655 + 0.370255i
\(604\) −0.875527 + 2.40549i −0.0356247 + 0.0978781i
\(605\) 60.3592 71.9333i 2.45395 2.92450i
\(606\) 8.09256 + 5.78669i 0.328738 + 0.235068i
\(607\) 23.6670i 0.960615i 0.877100 + 0.480308i \(0.159475\pi\)
−0.877100 + 0.480308i \(0.840525\pi\)
\(608\) −3.11749 + 3.04652i −0.126431 + 0.123553i
\(609\) 15.5548 + 7.44167i 0.630314 + 0.301552i
\(610\) 25.5545 + 4.50595i 1.03467 + 0.182441i
\(611\) −23.5610 19.7700i −0.953177 0.799811i
\(612\) 1.16346 0.397563i 0.0470301 0.0160705i
\(613\) 14.7136 5.35532i 0.594278 0.216299i −0.0273321 0.999626i \(-0.508701\pi\)
0.621610 + 0.783327i \(0.286479\pi\)
\(614\) −0.351542 0.418952i −0.0141871 0.0169075i
\(615\) 6.97052 0.540372i 0.281079 0.0217899i
\(616\) −11.6331 6.71638i −0.468712 0.270611i
\(617\) −19.6258 + 3.46056i −0.790105 + 0.139317i −0.554117 0.832439i \(-0.686944\pi\)
−0.235988 + 0.971756i \(0.575833\pi\)
\(618\) −1.84403 0.513724i −0.0741778 0.0206650i
\(619\) −3.55524 + 6.15786i −0.142897 + 0.247505i −0.928587 0.371116i \(-0.878975\pi\)
0.785689 + 0.618621i \(0.212309\pi\)
\(620\) −3.90331 6.76072i −0.156761 0.271517i
\(621\) 2.54606 3.41562i 0.102170 0.137064i
\(622\) −4.81452 13.2278i −0.193045 0.530386i
\(623\) −14.7992 5.38648i −0.592919 0.215805i
\(624\) −6.28550 + 2.85557i −0.251621 + 0.114314i
\(625\) −3.13111 + 17.7574i −0.125244 + 0.710297i
\(626\) 18.6019 0.743480
\(627\) 1.01125 47.2221i 0.0403856 1.88587i
\(628\) −16.7677 −0.669104
\(629\) −0.427962 + 2.42710i −0.0170640 + 0.0967746i
\(630\) 21.4909 + 0.425521i 0.856216 + 0.0169532i
\(631\) −1.16675 0.424661i −0.0464474 0.0169055i 0.318692 0.947858i \(-0.396756\pi\)
−0.365139 + 0.930953i \(0.618979\pi\)
\(632\) 4.28551 + 11.7743i 0.170468 + 0.468358i
\(633\) 7.15294 + 27.7927i 0.284304 + 1.10466i
\(634\) 13.5959 + 23.5487i 0.539960 + 0.935239i
\(635\) 2.05623 3.56149i 0.0815989 0.141334i
\(636\) −0.109080 + 0.391547i −0.00432530 + 0.0155258i
\(637\) −9.38092 + 1.65411i −0.371685 + 0.0655382i
\(638\) 25.1212 + 14.5037i 0.994557 + 0.574208i
\(639\) 4.83225 12.5008i 0.191161 0.494522i
\(640\) −2.14500 2.55631i −0.0847885 0.101047i
\(641\) 7.06477 2.57137i 0.279042 0.101563i −0.198708 0.980059i \(-0.563675\pi\)
0.477750 + 0.878496i \(0.341452\pi\)
\(642\) 8.43035 + 8.59893i 0.332719 + 0.339373i
\(643\) −9.31005 7.81206i −0.367153 0.308078i 0.440481 0.897762i \(-0.354808\pi\)
−0.807634 + 0.589684i \(0.799252\pi\)
\(644\) 1.73361 + 0.305683i 0.0683139 + 0.0120456i
\(645\) −15.5920 + 32.5909i −0.613933 + 1.28327i
\(646\) −0.482199 + 1.72013i −0.0189719 + 0.0676776i
\(647\) 38.1298i 1.49904i 0.661983 + 0.749519i \(0.269715\pi\)
−0.661983 + 0.749519i \(0.730285\pi\)
\(648\) −8.32876 3.41055i −0.327184 0.133979i
\(649\) −21.5458 + 25.6773i −0.845747 + 1.00792i
\(650\) −8.36457 + 22.9815i −0.328085 + 0.901407i
\(651\) 0.844012 8.65901i 0.0330794 0.339373i
\(652\) −8.09708 + 6.79425i −0.317106 + 0.266084i
\(653\) −39.7547 + 22.9524i −1.55572 + 0.898196i −0.558063 + 0.829798i \(0.688455\pi\)
−0.997658 + 0.0683980i \(0.978211\pi\)
\(654\) 6.95505 + 10.1451i 0.271964 + 0.396705i
\(655\) 3.73239 + 21.1674i 0.145836 + 0.827080i
\(656\) −0.210047 1.19124i −0.00820096 0.0465099i
\(657\) 16.7618 2.61454i 0.653940 0.102003i
\(658\) 14.3484 8.28407i 0.559360 0.322947i
\(659\) 14.3577 12.0475i 0.559295 0.469304i −0.318779 0.947829i \(-0.603273\pi\)
0.878074 + 0.478525i \(0.158828\pi\)
\(660\) 35.9894 + 3.50796i 1.40089 + 0.136547i
\(661\) 4.05073 11.1293i 0.157555 0.432879i −0.835649 0.549263i \(-0.814908\pi\)
0.993204 + 0.116385i \(0.0371306\pi\)
\(662\) −18.8690 + 22.4872i −0.733364 + 0.873989i
\(663\) −1.64575 + 2.30154i −0.0639155 + 0.0893844i
\(664\) 9.25584i 0.359196i
\(665\) −18.2071 + 25.3755i −0.706039 + 0.984020i
\(666\) 14.0466 11.3203i 0.544294 0.438652i
\(667\) −3.74366 0.660108i −0.144955 0.0255595i
\(668\) −8.57590 7.19604i −0.331812 0.278423i
\(669\) −14.6499 + 14.3627i −0.566400 + 0.555296i
\(670\) 11.1028 4.04108i 0.428938 0.156121i
\(671\) 31.2703 + 37.2665i 1.20718 + 1.43866i
\(672\) −0.287438 3.70781i −0.0110882 0.143032i
\(673\) −9.02264 5.20922i −0.347797 0.200801i 0.315917 0.948787i \(-0.397688\pi\)
−0.663715 + 0.747986i \(0.731021\pi\)
\(674\) −13.2694 + 2.33976i −0.511119 + 0.0901240i
\(675\) −29.2825 + 12.6101i −1.12708 + 0.485364i
\(676\) 1.44363 2.50044i 0.0555241 0.0961706i
\(677\) −10.3670 17.9562i −0.398437 0.690112i 0.595097 0.803654i \(-0.297114\pi\)
−0.993533 + 0.113542i \(0.963780\pi\)
\(678\) −3.90832 + 1.00587i −0.150098 + 0.0386303i
\(679\) 11.9858 + 32.9306i 0.459972 + 1.26376i
\(680\) −1.28516 0.467759i −0.0492836 0.0179377i
\(681\) −16.5294 36.3834i −0.633408 1.39421i
\(682\) 2.54145 14.4133i 0.0973170 0.551912i
\(683\) 2.79983 0.107132 0.0535662 0.998564i \(-0.482941\pi\)
0.0535662 + 0.998564i \(0.482941\pi\)
\(684\) 10.9414 7.16147i 0.418353 0.273826i
\(685\) 35.9492 1.37355
\(686\) 3.50095 19.8549i 0.133667 0.758064i
\(687\) −10.0629 22.1499i −0.383925 0.845070i
\(688\) 5.87377 + 2.13788i 0.223935 + 0.0815058i
\(689\) −0.319912 0.878950i −0.0121877 0.0334853i
\(690\) −4.58919 + 1.18111i −0.174708 + 0.0449640i
\(691\) −4.20182 7.27776i −0.159845 0.276859i 0.774968 0.632001i \(-0.217766\pi\)
−0.934813 + 0.355142i \(0.884433\pi\)
\(692\) 10.9577 18.9794i 0.416551 0.721487i
\(693\) 30.3514 + 26.5093i 1.15296 + 1.00700i
\(694\) 5.93191 1.04596i 0.225172 0.0397040i
\(695\) −24.3697 14.0698i −0.924395 0.533700i
\(696\) 0.620710 + 8.00685i 0.0235280 + 0.303499i
\(697\) −0.318658 0.379762i −0.0120700 0.0143845i
\(698\) 26.8874 9.78621i 1.01770 0.370413i
\(699\) 29.1746 28.6027i 1.10349 1.08185i
\(700\) −10.0920 8.46823i −0.381443 0.320069i
\(701\) −14.9472 2.63560i −0.564549 0.0995451i −0.115912 0.993259i \(-0.536979\pi\)
−0.448636 + 0.893714i \(0.648090\pi\)
\(702\) 20.1559 4.76410i 0.760734 0.179809i
\(703\) 1.98376 + 26.1369i 0.0748190 + 0.985771i
\(704\) 6.25616i 0.235788i
\(705\) −25.9420 + 36.2793i −0.977031 + 1.36636i
\(706\) 10.8414 12.9203i 0.408023 0.486263i
\(707\) 4.21806 11.5890i 0.158636 0.435850i
\(708\) −9.23623 0.900276i −0.347119 0.0338344i
\(709\) −29.3000 + 24.5857i −1.10039 + 0.923334i −0.997451 0.0713544i \(-0.977268\pi\)
−0.102935 + 0.994688i \(0.532823\pi\)
\(710\) −12.9106 + 7.45393i −0.484526 + 0.279741i
\(711\) −5.79331 37.1409i −0.217266 1.39289i
\(712\) −1.27370 7.22349i −0.0477338 0.270712i
\(713\) 0.333055 + 1.88885i 0.0124730 + 0.0707380i
\(714\) −0.861819 1.25711i −0.0322528 0.0470461i
\(715\) −72.0647 + 41.6065i −2.69507 + 1.55600i
\(716\) −16.3833 + 13.7472i −0.612271 + 0.513756i
\(717\) 4.57942 46.9819i 0.171022 1.75457i
\(718\) −5.65444 + 15.5354i −0.211022 + 0.579778i
\(719\) −24.9620 + 29.7485i −0.930924 + 1.10943i 0.0628501 + 0.998023i \(0.479981\pi\)
−0.993775 + 0.111410i \(0.964463\pi\)
\(720\) 4.83293 + 8.76724i 0.180113 + 0.326736i
\(721\) 2.37299i 0.0883749i
\(722\) −0.437448 + 18.9950i −0.0162801 + 0.706919i
\(723\) 15.9001 33.2349i 0.591330 1.23602i
\(724\) 18.0057 + 3.17489i 0.669177 + 0.117994i
\(725\) 21.7933 + 18.2868i 0.809383 + 0.679153i
\(726\) 34.1209 + 34.8032i 1.26634 + 1.29167i
\(727\) 35.9582 13.0877i 1.33361 0.485396i 0.425818 0.904809i \(-0.359986\pi\)
0.907796 + 0.419413i \(0.137764\pi\)
\(728\) 5.50110 + 6.55596i 0.203884 + 0.242980i
\(729\) 22.5401 + 14.8641i 0.834820 + 0.550524i
\(730\) −16.3422 9.43516i −0.604851 0.349211i
\(731\) 2.52286 0.444849i 0.0933114 0.0164533i
\(732\) −3.61449 + 12.9744i −0.133595 + 0.479546i
\(733\) −7.71039 + 13.3548i −0.284790 + 0.493270i −0.972558 0.232660i \(-0.925257\pi\)
0.687768 + 0.725930i \(0.258590\pi\)
\(734\) −4.78059 8.28022i −0.176455 0.305628i
\(735\) 3.44284 + 13.3771i 0.126991 + 0.493423i
\(736\) 0.280411 + 0.770422i 0.0103361 + 0.0283981i
\(737\) 20.8152 + 7.57610i 0.766736 + 0.279069i
\(738\) −0.0718373 + 3.62813i −0.00264437 + 0.133553i
\(739\) −4.98207 + 28.2547i −0.183268 + 1.03937i 0.744892 + 0.667185i \(0.232501\pi\)
−0.928160 + 0.372181i \(0.878610\pi\)
\(740\) −20.0671 −0.737680
\(741\) −10.8954 + 28.0511i −0.400252 + 1.03048i
\(742\) 0.503862 0.0184974
\(743\) 4.95784 28.1173i 0.181886 1.03152i −0.748006 0.663691i \(-0.768989\pi\)
0.929892 0.367833i \(-0.119900\pi\)
\(744\) 3.68908 1.67599i 0.135248 0.0614448i
\(745\) −16.6486 6.05959i −0.609957 0.222006i
\(746\) 1.48177 + 4.07112i 0.0542514 + 0.149054i
\(747\) 5.36218 27.2449i 0.196192 0.996837i
\(748\) −1.28200 2.22049i −0.0468746 0.0811892i
\(749\) 7.46397 12.9280i 0.272727 0.472378i
\(750\) 6.32369 + 1.76170i 0.230908 + 0.0643281i
\(751\) 12.4716 2.19908i 0.455096 0.0802457i 0.0585987 0.998282i \(-0.481337\pi\)
0.396497 + 0.918036i \(0.370226\pi\)
\(752\) 6.68262 + 3.85821i 0.243690 + 0.140694i
\(753\) 4.28646 0.332297i 0.156207 0.0121096i
\(754\) −11.8794 14.1573i −0.432622 0.515578i
\(755\) −8.02719 + 2.92166i −0.292139 + 0.106330i
\(756\) −1.30196 + 11.0806i −0.0473517 + 0.402997i
\(757\) 38.4432 + 32.2577i 1.39724 + 1.17243i 0.962308 + 0.271963i \(0.0876729\pi\)
0.434934 + 0.900462i \(0.356772\pi\)
\(758\) 5.87751 + 1.03636i 0.213481 + 0.0376424i
\(759\) −8.01413 3.83408i −0.290894 0.139168i
\(760\) −14.4749 1.43448i −0.525058 0.0520342i
\(761\) 26.6803i 0.967159i 0.875300 + 0.483580i \(0.160664\pi\)
−0.875300 + 0.483580i \(0.839336\pi\)
\(762\) 1.73630 + 1.24156i 0.0628995 + 0.0449771i
\(763\) 9.80118 11.6806i 0.354826 0.422866i
\(764\) −1.18379 + 3.25243i −0.0428279 + 0.117669i
\(765\) 3.51192 + 2.12139i 0.126974 + 0.0766991i
\(766\) 3.37004 2.82780i 0.121764 0.102172i
\(767\) 18.4945 10.6778i 0.667798 0.385553i
\(768\) 1.42858 0.979371i 0.0515493 0.0353400i
\(769\) −6.83201 38.7463i −0.246369 1.39723i −0.817292 0.576223i \(-0.804526\pi\)
0.570924 0.821003i \(-0.306585\pi\)
\(770\) −7.78387 44.1445i −0.280511 1.59086i
\(771\) −16.0806 + 11.0242i −0.579130 + 0.397026i