Properties

Label 114.2.l.b.59.3
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 59.3
Root \(-1.72388 + 0.168030i\) of defining polynomial
Character \(\chi\) \(=\) 114.59
Dual form 114.2.l.b.29.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.173648 - 0.984808i) q^{2} +(1.67739 + 0.431705i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(1.14133 + 3.13578i) q^{5} +(0.716422 - 1.57694i) q^{6} +(-1.07356 - 1.85947i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(2.62726 + 1.44827i) q^{9} +O(q^{10})\) \(q+(0.173648 - 0.984808i) q^{2} +(1.67739 + 0.431705i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(1.14133 + 3.13578i) q^{5} +(0.716422 - 1.57694i) q^{6} +(-1.07356 - 1.85947i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(2.62726 + 1.44827i) q^{9} +(3.28633 - 0.579469i) q^{10} +(-5.41799 - 3.12808i) q^{11} +(-1.42858 - 0.979371i) q^{12} +(-2.56208 - 3.05336i) q^{13} +(-2.01764 + 0.734361i) q^{14} +(0.560722 + 5.75264i) 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} +(-0.998042 - 3.58251i) q^{21} +(-4.02138 + 4.79249i) q^{22} +(-0.280411 + 0.770422i) q^{23} +(-1.21256 + 1.23681i) q^{24} +(-4.70025 + 3.94398i) q^{25} +(-3.45187 + 1.99294i) q^{26} +(3.78171 + 3.56352i) q^{27} +(0.372845 + 2.11451i) q^{28} +(0.805141 + 4.56618i) q^{29} +(5.76261 + 0.446732i) q^{30} +(-2.02597 + 1.16970i) q^{31} +(0.766044 - 0.642788i) q^{32} +(-7.73767 - 7.58597i) q^{33} +(-0.140172 + 0.385121i) q^{34} +(4.60559 - 5.48872i) q^{35} +(-1.97348 - 2.25951i) 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} +(-3.70139 + 0.360783i) q^{42} +(5.87377 - 2.13788i) q^{43} +(4.02138 + 4.79249i) q^{44} +(-1.54289 + 9.89147i) q^{45} +(0.710025 + 0.409933i) q^{46} +(-7.59919 + 1.33994i) q^{47} +(1.00746 + 1.40891i) q^{48} +(1.19492 - 2.06967i) q^{49} +(3.06787 + 5.31371i) q^{50} +(-0.646288 - 0.293616i) q^{51} +(1.36325 + 3.74550i) q^{52} +(-0.220516 - 0.0802612i) q^{53} +(4.16607 - 3.10546i) q^{54} +(3.62525 - 20.5598i) q^{55} +2.14713 q^{56} +(7.43301 + 1.32301i) q^{57} +4.63662 q^{58} +(0.930375 - 5.27642i) q^{59} +(1.44061 - 5.59749i) q^{60} +(7.30705 + 2.65955i) q^{61} +(0.800119 + 2.19831i) q^{62} +(-0.127515 - 6.44012i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(6.65050 - 11.5190i) q^{65} +(-8.81436 + 6.30282i) q^{66} +(3.48689 - 0.614832i) q^{67} +(0.354929 + 0.204918i) q^{68} +(-0.802953 + 1.17124i) q^{69} +(-4.60559 - 5.48872i) q^{70} +(4.19799 - 1.52794i) q^{71} +(-2.56787 + 1.55114i) 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} +(-6.65050 + 1.85274i) q^{78} +(-8.05412 + 9.59853i) q^{79} +(-1.14133 + 3.13578i) q^{80} +(4.80501 + 7.60999i) q^{81} +(0.926617 - 0.777524i) q^{82} +(8.01579 - 4.62792i) q^{83} +(-0.287438 + 3.70781i) q^{84} +(-0.237488 - 1.34686i) q^{85} +(-1.08543 - 6.15577i) q^{86} +(-0.620710 + 8.00685i) q^{87} +(5.41799 - 3.12808i) q^{88} +(-5.61888 + 4.71480i) q^{89} +(9.47328 + 3.23709i) q^{90} +(-2.92708 + 8.04207i) q^{91} +(0.527000 - 0.628054i) q^{92} +(-3.90331 + 1.08741i) 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} +(-9.70416 - 16.0650i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18q + 3q^{3} - 9q^{8} - 3q^{9} + O(q^{10}) \) \( 18q + 3q^{3} - 9q^{8} - 3q^{9} - 12q^{13} - 12q^{14} + 18q^{15} + 6q^{17} - 6q^{19} - 24q^{22} + 3q^{24} - 18q^{25} + 18q^{26} - 6q^{27} + 6q^{28} - 6q^{29} - 24q^{33} - 6q^{34} - 24q^{35} + 3q^{38} + 6q^{39} + 3q^{41} - 6q^{43} + 24q^{44} - 54q^{45} + 18q^{46} + 30q^{47} + 21q^{49} + 3q^{50} + 42q^{51} - 6q^{52} - 60q^{53} + 54q^{54} + 30q^{55} + 12q^{57} + 12q^{58} + 3q^{59} + 24q^{60} + 54q^{61} + 6q^{62} - 18q^{63} - 9q^{64} + 24q^{65} - 27q^{66} - 15q^{67} - 27q^{68} + 30q^{69} + 24q^{70} + 36q^{71} + 6q^{72} - 42q^{73} + 6q^{74} - 24q^{78} - 6q^{79} - 3q^{81} + 3q^{82} + 36q^{83} - 30q^{84} - 6q^{86} - 60q^{89} - 18q^{91} - 66q^{93} + 6q^{95} + 9q^{97} + 12q^{98} - 102q^{99} + O(q^{100}) \)

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
\(3\) 1.67739 + 0.431705i 0.968440 + 0.249245i
\(4\) −0.939693 0.342020i −0.469846 0.171010i
\(5\) 1.14133 + 3.13578i 0.510418 + 1.40236i 0.880802 + 0.473484i \(0.157004\pi\)
−0.370384 + 0.928879i \(0.620774\pi\)
\(6\) 0.716422 1.57694i 0.292478 0.643783i
\(7\) −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
\(9\) 2.62726 + 1.44827i 0.875754 + 0.482758i
\(10\) 3.28633 0.579469i 1.03923 0.183244i
\(11\) −5.41799 3.12808i −1.63359 0.943151i −0.982975 0.183740i \(-0.941180\pi\)
−0.650611 0.759412i \(-0.725487\pi\)
\(12\) −1.42858 0.979371i −0.412395 0.282720i
\(13\) −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
\(15\) 0.560722 + 5.75264i 0.144778 + 1.48532i
\(16\) 0.766044 + 0.642788i 0.191511 + 0.160697i
\(17\) −0.403611 0.0711674i −0.0978899 0.0172606i 0.124489 0.992221i \(-0.460271\pi\)
−0.222379 + 0.974960i \(0.571382\pi\)
\(18\) 1.88249 2.33586i 0.443707 0.550567i
\(19\) 4.34640 0.329887i 0.997132 0.0756812i
\(20\) 3.33703i 0.746182i
\(21\) −0.998042 3.58251i −0.217791 0.781768i
\(22\) −4.02138 + 4.79249i −0.857361 + 1.02176i
\(23\) −0.280411 + 0.770422i −0.0584697 + 0.160644i −0.965488 0.260446i \(-0.916130\pi\)
0.907019 + 0.421090i \(0.138353\pi\)
\(24\) −1.21256 + 1.23681i −0.247513 + 0.252462i
\(25\) −4.70025 + 3.94398i −0.940051 + 0.788796i
\(26\) −3.45187 + 1.99294i −0.676968 + 0.390848i
\(27\) 3.78171 + 3.56352i 0.727790 + 0.685800i
\(28\) 0.372845 + 2.11451i 0.0704610 + 0.399604i
\(29\) 0.805141 + 4.56618i 0.149511 + 0.847919i 0.963634 + 0.267226i \(0.0861071\pi\)
−0.814123 + 0.580693i \(0.802782\pi\)
\(30\) 5.76261 + 0.446732i 1.05210 + 0.0815616i
\(31\) −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
\(33\) −7.73767 7.58597i −1.34695 1.32055i
\(34\) −0.140172 + 0.385121i −0.0240394 + 0.0660477i
\(35\) 4.60559 5.48872i 0.778486 0.927764i
\(36\) −1.97348 2.25951i −0.328913 0.376585i
\(37\) 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 0.712270 0.701905i \(-0.247667\pi\)
−0.567557 + 0.823334i \(0.692111\pi\)
\(42\) −3.70139 + 0.360783i −0.571137 + 0.0556700i
\(43\) 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
\(45\) −1.54289 + 9.89147i −0.230001 + 1.47453i
\(46\) 0.710025 + 0.409933i 0.104687 + 0.0604413i
\(47\) −7.59919 + 1.33994i −1.10846 + 0.195451i −0.697767 0.716325i \(-0.745823\pi\)
−0.410689 + 0.911776i \(0.634712\pi\)
\(48\) 1.00746 + 1.40891i 0.145414 + 0.203359i
\(49\) 1.19492 2.06967i 0.170703 0.295666i
\(50\) 3.06787 + 5.31371i 0.433863 + 0.751472i
\(51\) −0.646288 0.293616i −0.0904984 0.0411145i
\(52\) 1.36325 + 3.74550i 0.189049 + 0.519408i
\(53\) −0.220516 0.0802612i −0.0302902 0.0110247i 0.326831 0.945083i \(-0.394019\pi\)
−0.357121 + 0.934058i \(0.616242\pi\)
\(54\) 4.16607 3.10546i 0.566930 0.422599i
\(55\) 3.62525 20.5598i 0.488828 2.77228i
\(56\) 2.14713 0.286922
\(57\) 7.43301 + 1.32301i 0.984526 + 0.175237i
\(58\) 4.63662 0.608819
\(59\) 0.930375 5.27642i 0.121124 0.686931i −0.862410 0.506210i \(-0.831046\pi\)
0.983534 0.180721i \(-0.0578430\pi\)
\(60\) 1.44061 5.59749i 0.185982 0.722633i
\(61\) 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
\(63\) −0.127515 6.44012i −0.0160654 0.811379i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) 6.65050 11.5190i 0.824893 1.42876i
\(66\) −8.81436 + 6.30282i −1.08497 + 0.775824i
\(67\) 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
\(69\) −0.802953 + 1.17124i −0.0966642 + 0.141001i
\(70\) −4.60559 5.48872i −0.550473 0.656028i
\(71\) 4.19799 1.52794i 0.498210 0.181334i −0.0806788 0.996740i \(-0.525709\pi\)
0.578889 + 0.815407i \(0.303487\pi\)
\(72\) −2.56787 + 1.55114i −0.302627 + 0.182803i
\(73\) −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
\(78\) −6.65050 + 1.85274i −0.753020 + 0.209782i
\(79\) −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
\(81\) 4.80501 + 7.60999i 0.533889 + 0.845554i
\(82\) 0.926617 0.777524i 0.102328 0.0858631i
\(83\) 8.01579 4.62792i 0.879848 0.507980i 0.00923947 0.999957i \(-0.497059\pi\)
0.870608 + 0.491977i \(0.163726\pi\)
\(84\) −0.287438 + 3.70781i −0.0313621 + 0.404555i
\(85\) −0.237488 1.34686i −0.0257591 0.146087i
\(86\) −1.08543 6.15577i −0.117045 0.663794i
\(87\) −0.620710 + 8.00685i −0.0665471 + 0.858424i
\(88\) 5.41799 3.12808i 0.577560 0.333454i
\(89\) −5.61888 + 4.71480i −0.595600 + 0.499767i −0.890028 0.455906i \(-0.849315\pi\)
0.294428 + 0.955674i \(0.404871\pi\)
\(90\) 9.47328 + 3.23709i 0.998571 + 0.341219i
\(91\) −2.92708 + 8.04207i −0.306841 + 0.843038i
\(92\) 0.527000 0.628054i 0.0549435 0.0654792i
\(93\) −3.90331 + 1.08741i −0.404754 + 0.112759i
\(94\) 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
\(99\) −9.70416 16.0650i −0.975305 1.61459i
\(100\) 5.76571 2.09855i 0.576571 0.209855i
\(101\) −3.69207 4.40004i −0.367375 0.437820i 0.550412 0.834893i \(-0.314471\pi\)
−0.917787 + 0.397073i \(0.870026\pi\)
\(102\) −0.401382 + 0.585484i −0.0397428 + 0.0579715i
\(103\) −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
\(105\) 10.0949 7.21847i 0.985158 0.704450i
\(106\) −0.117334 + 0.203228i −0.0113965 + 0.0197393i
\(107\) −3.47626 6.02105i −0.336062 0.582077i 0.647626 0.761958i \(-0.275762\pi\)
−0.983688 + 0.179881i \(0.942429\pi\)
\(108\) −2.33485 4.64203i −0.224671 0.446680i
\(109\) 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
\(111\) −2.59604 + 10.0869i −0.246405 + 0.957407i
\(112\) 0.372845 2.11451i 0.0352305 0.199802i
\(113\) 2.33000 0.219188 0.109594 0.993976i \(-0.465045\pi\)
0.109594 + 0.993976i \(0.465045\pi\)
\(114\) 2.59364 7.09035i 0.242917 0.664072i
\(115\) −2.73592 −0.255125
\(116\) 0.805141 4.56618i 0.0747555 0.423960i
\(117\) −2.30914 11.7326i −0.213480 1.08468i
\(118\) −5.03470 1.83248i −0.463482 0.168693i
\(119\) 0.300968 + 0.826903i 0.0275897 + 0.0758021i
\(120\) −5.26229 2.39072i −0.480379 0.218242i
\(121\) 14.0697 + 24.3695i 1.27907 + 2.21541i
\(122\) 3.88800 6.73422i 0.352003 0.609687i
\(123\) 1.21863 + 1.70423i 0.109881 + 0.153666i
\(124\) 2.30385 0.406231i 0.206892 0.0364806i
\(125\) −3.28225 1.89501i −0.293573 0.169495i
\(126\) −6.36442 0.992737i −0.566988 0.0884401i
\(127\) 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
\(129\) 10.7755 1.05031i 0.948732 0.0924749i
\(130\) −10.1892 8.54971i −0.893648 0.749859i
\(131\) 6.34320 + 1.11848i 0.554208 + 0.0977218i 0.443736 0.896157i \(-0.353653\pi\)
0.110472 + 0.993879i \(0.464764\pi\)
\(132\) 4.67647 + 9.77492i 0.407035 + 0.850798i
\(133\) −5.27955 7.72783i −0.457795 0.670088i
\(134\) 3.54068i 0.305868i
\(135\) −6.85823 + 15.9258i −0.590262 + 1.37067i
\(136\) 0.263438 0.313953i 0.0225896 0.0269213i
\(137\) 3.68452 10.1231i 0.314790 0.864878i −0.676882 0.736091i \(-0.736669\pi\)
0.991672 0.128787i \(-0.0411084\pi\)
\(138\) 1.01402 + 0.994138i 0.0863189 + 0.0846267i
\(139\) 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
\(141\) −13.3253 1.03301i −1.12219 0.0869948i
\(142\) −0.775757 4.39954i −0.0651001 0.369201i
\(143\) 4.33014 + 24.5575i 0.362105 + 2.05360i
\(144\) 1.08167 + 2.79821i 0.0901389 + 0.233184i
\(145\) −13.3996 + 7.73627i −1.11278 + 0.642462i
\(146\) −4.33185 + 3.63485i −0.358506 + 0.300823i
\(147\) 2.89783 2.95578i 0.239009 0.243788i
\(148\) 2.05672 5.65080i 0.169062 0.464493i
\(149\) −3.41271 + 4.06711i −0.279580 + 0.333190i −0.887500 0.460808i \(-0.847560\pi\)
0.607920 + 0.793998i \(0.292004\pi\)
\(150\) 2.85206 + 10.2376i 0.232869 + 0.835894i
\(151\) 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
\(156\) 0.669749 + 6.87119i 0.0536229 + 0.550135i
\(157\) 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
\(159\) −0.335241 0.229827i −0.0265864 0.0182265i
\(160\) 2.88995 + 1.66851i 0.228471 + 0.131908i
\(161\) 1.73361 0.305683i 0.136628 0.0240912i
\(162\) 8.32876 3.41055i 0.654369 0.267958i
\(163\) 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
\(165\) 14.9567 32.9217i 1.16438 2.56295i
\(166\) −3.16568 8.69765i −0.245705 0.675068i
\(167\) −10.5199 3.82893i −0.814054 0.296292i −0.0987568 0.995112i \(-0.531487\pi\)
−0.715298 + 0.698820i \(0.753709\pi\)
\(168\) 3.60157 + 0.926926i 0.277867 + 0.0715139i
\(169\) −0.501366 + 2.84339i −0.0385666 + 0.218722i
\(170\) −1.36764 −0.104893
\(171\) 11.8969 + 5.42808i 0.909778 + 0.415095i
\(172\) −6.25073 −0.476614
\(173\) 3.80558 21.5825i 0.289333 1.64089i −0.400051 0.916493i \(-0.631007\pi\)
0.689384 0.724396i \(-0.257881\pi\)
\(174\) 7.77742 + 2.00165i 0.589605 + 0.151745i
\(175\) 12.3797 + 4.50585i 0.935819 + 0.340610i
\(176\) −2.13973 5.87886i −0.161288 0.443136i
\(177\) 3.83846 8.44895i 0.288516 0.635062i
\(178\) 3.66746 + 6.35223i 0.274888 + 0.476120i
\(179\) −10.6934 + 18.5215i −0.799263 + 1.38436i 0.120833 + 0.992673i \(0.461443\pi\)
−0.920097 + 0.391692i \(0.871890\pi\)
\(180\) 4.83293 8.76724i 0.360225 0.653472i
\(181\) −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
\(183\) 11.1086 + 7.61559i 0.821173 + 0.562961i
\(184\) −0.527000 0.628054i −0.0388509 0.0463008i
\(185\) −18.8569 + 6.86334i −1.38639 + 0.504603i
\(186\) 0.393089 + 4.03283i 0.0288227 + 0.295702i
\(187\) 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 \(0.0399638\pi\)
−0.992129 + 0.125220i \(0.960036\pi\)
\(192\) −0.464826 1.66851i −0.0335460 0.120415i
\(193\) 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
\(195\) 16.1283 16.4508i 1.15497 1.17806i
\(196\) −1.83073 + 1.53616i −0.130766 + 0.109726i
\(197\) 10.2877 5.93959i 0.732966 0.423178i −0.0865400 0.996248i \(-0.527581\pi\)
0.819506 + 0.573070i \(0.194248\pi\)
\(198\) −17.5061 + 6.76707i −1.24410 + 0.480915i
\(199\) 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
\(201\) 6.11429 + 0.473995i 0.431269 + 0.0334330i
\(202\) −4.97432 + 2.87192i −0.349992 + 0.202068i
\(203\) 7.62630 6.39922i 0.535261 0.449137i
\(204\) 0.506890 + 0.496952i 0.0354894 + 0.0347936i
\(205\) −1.38057 + 3.79308i −0.0964230 + 0.264920i
\(206\) −0.710405 + 0.846628i −0.0494963 + 0.0589874i
\(207\) −1.85249 + 1.61799i −0.128757 + 0.112458i
\(208\) 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
\(213\) 7.70128 0.750660i 0.527683 0.0514344i
\(214\) −6.53323 + 2.37790i −0.446602 + 0.162550i
\(215\) 13.4078 + 15.9788i 0.914405 + 1.08975i
\(216\) −4.97695 + 1.49330i −0.338639 + 0.101606i
\(217\) 4.35002 + 2.51149i 0.295299 + 0.170491i
\(218\) 6.99366 1.23317i 0.473670 0.0835208i
\(219\) −5.69701 7.96714i −0.384968 0.538370i
\(220\) −10.4385 + 18.0800i −0.703762 + 1.21895i
\(221\) 0.816781 + 1.41471i 0.0549426 + 0.0951634i
\(222\) 9.48286 + 4.30817i 0.636448 + 0.289146i
\(223\) −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
\(225\) −18.0608 + 3.55461i −1.20405 + 0.236974i
\(226\) 0.404601 2.29460i 0.0269136 0.152635i
\(227\) −23.0722 −1.53135 −0.765676 0.643226i \(-0.777595\pi\)
−0.765676 + 0.643226i \(0.777595\pi\)
\(228\) −6.53225 3.78547i −0.432609 0.250699i
\(229\) 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
\(231\) −5.79899 + 22.5320i −0.381546 + 1.48249i
\(232\) −4.35700 1.58582i −0.286051 0.104114i
\(233\) −8.06779 22.1661i −0.528539 1.45215i −0.860792 0.508958i \(-0.830031\pi\)
0.332253 0.943190i \(-0.392191\pi\)
\(234\) −11.9553 + 0.236716i −0.781543 + 0.0154746i
\(235\) −12.8749 22.3001i −0.839869 1.45470i
\(236\) −2.67891 + 4.64000i −0.174382 + 0.302038i
\(237\) −17.6536 + 12.6235i −1.14673 + 0.819981i
\(238\) 0.866603 0.152806i 0.0561735 0.00990491i
\(239\) −23.6023 13.6268i −1.52670 0.881443i −0.999497 0.0317050i \(-0.989906\pi\)
−0.527206 0.849738i \(-0.676760\pi\)
\(240\) −3.26819 + 4.76720i −0.210960 + 0.307721i
\(241\) 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
\(243\) 4.77459 + 14.8392i 0.306290 + 0.951938i
\(244\) −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
\(249\) 15.4435 4.30236i 0.978692 0.272651i
\(250\) −2.43617 + 2.90332i −0.154077 + 0.183622i
\(251\) 0.848967 2.33252i 0.0535863 0.147227i −0.910012 0.414583i \(-0.863928\pi\)
0.963598 + 0.267355i \(0.0861498\pi\)
\(252\) −2.08283 + 6.09535i −0.131206 + 0.383971i
\(253\) 3.92920 3.29699i 0.247027 0.207280i
\(254\) 1.06727 0.616186i 0.0669662 0.0386629i
\(255\) 0.183087 2.36173i 0.0114654 0.147897i
\(256\) 0.173648 + 0.984808i 0.0108530 + 0.0615505i
\(257\) 1.95465 + 11.0854i 0.121928 + 0.691488i 0.983085 + 0.183149i \(0.0586291\pi\)
−0.861157 + 0.508339i \(0.830260\pi\)
\(258\) 0.836793 10.7942i 0.0520964 0.672018i
\(259\) 11.1818 6.45583i 0.694805 0.401146i
\(260\) −10.1892 + 8.54971i −0.631904 + 0.530231i
\(261\) −4.49777 + 13.1626i −0.278405 + 0.814746i
\(262\) 2.20297 6.05261i 0.136100 0.373931i
\(263\) 7.57578 9.02847i 0.467143 0.556719i −0.480109 0.877209i \(-0.659403\pi\)
0.947252 + 0.320490i \(0.103847\pi\)
\(264\) 10.4385 2.90803i 0.642444 0.178977i
\(265\) 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 0.873794 0.486296i \(-0.161652\pi\)
−0.327175 + 0.944964i \(0.606097\pi\)
\(270\) 14.4929 + 9.51952i 0.882009 + 0.579339i
\(271\) −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
\(273\) −8.38165 + 12.2260i −0.507280 + 0.739954i
\(274\) −9.32954 5.38641i −0.563618 0.325405i
\(275\) 37.8030 6.66569i 2.27961 0.401956i
\(276\) 1.15512 0.825982i 0.0695299 0.0497183i
\(277\) 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
\(279\) −7.01680 + 0.138933i −0.420085 + 0.00831773i
\(280\) 2.45058 + 6.73292i 0.146450 + 0.402369i
\(281\) 23.0658 + 8.39528i 1.37599 + 0.500820i 0.920961 0.389655i \(-0.127406\pi\)
0.455031 + 0.890475i \(0.349628\pi\)
\(282\) −3.33122 + 12.9434i −0.198371 + 0.770770i
\(283\) −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
\(285\) 4.33484 + 24.8183i 0.256774 + 1.47011i
\(286\) 24.9363 1.47451
\(287\) 0.450998 2.55773i 0.0266215 0.150978i
\(288\) 2.94353 0.579329i 0.173449 0.0341373i
\(289\) −15.8169 5.75689i −0.930408 0.338641i
\(290\) 5.29192 + 14.5394i 0.310752 + 0.853785i
\(291\) −25.7378 11.6930i −1.50878 0.685455i
\(292\) 2.82741 + 4.89723i 0.165462 + 0.286588i
\(293\) 5.48661 9.50309i 0.320531 0.555177i −0.660066 0.751207i \(-0.729472\pi\)
0.980598 + 0.196031i \(0.0628052\pi\)
\(294\) −2.40767 3.36707i −0.140418 0.196372i
\(295\) 17.6075 3.10468i 1.02515 0.180762i
\(296\) −5.20781 3.00673i −0.302698 0.174763i
\(297\) −9.34230 31.1366i −0.542095 1.80673i
\(298\) 3.41271 + 4.06711i 0.197693 + 0.235601i
\(299\) 3.07081 1.11768i 0.177590 0.0646374i
\(300\) 10.5773 1.03099i 0.610680 0.0595243i
\(301\) −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
\(306\) −0.926030 + 0.808805i −0.0529376 + 0.0462363i
\(307\) −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
\(309\) −1.36691 1.34012i −0.0777610 0.0762366i
\(310\) −5.98021 + 5.01799i −0.339653 + 0.285003i
\(311\) 12.1908 7.03836i 0.691277 0.399109i −0.112813 0.993616i \(-0.535986\pi\)
0.804090 + 0.594507i \(0.202653\pi\)
\(312\) 6.88310 + 0.533595i 0.389679 + 0.0302088i
\(313\) −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
\(315\) 20.0493 7.75016i 1.12965 0.436672i
\(316\) 10.8513 6.26499i 0.610433 0.352433i
\(317\) −20.8301 + 17.4785i −1.16993 + 0.981690i −0.999993 0.00376423i \(-0.998802\pi\)
−0.169940 + 0.985454i \(0.554357\pi\)
\(318\) −0.284549 + 0.290239i −0.0159567 + 0.0162758i
\(319\) 9.92113 27.2581i 0.555477 1.52616i
\(320\) 2.14500 2.55631i 0.119909 0.142902i
\(321\) −3.23171 11.6004i −0.180377 0.647469i
\(322\) 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
\(327\) 1.19328 + 12.2422i 0.0659883 + 0.676996i
\(328\) −1.13666 + 0.413712i −0.0627618 + 0.0228434i
\(329\) 10.6498 + 12.6919i 0.587142 + 0.699729i
\(330\) −29.8244 20.4463i −1.64178 1.12553i
\(331\) 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
\(333\) −8.70914 + 15.7989i −0.477258 + 0.865776i
\(334\) −5.59752 + 9.69519i −0.306283 + 0.530497i
\(335\) 5.90767 + 10.2324i 0.322770 + 0.559055i
\(336\) 1.53825 3.38589i 0.0839184 0.184716i
\(337\) 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
\(339\) 3.90832 + 1.00587i 0.212271 + 0.0546316i
\(340\) −0.237488 + 1.34686i −0.0128796 + 0.0730437i
\(341\) 14.6356 0.792562
\(342\) 7.41148 10.7736i 0.400767 0.582568i
\(343\) −20.1612 −1.08860
\(344\) −1.08543 + 6.15577i −0.0585224 + 0.331897i
\(345\) −4.58919 1.18111i −0.247074 0.0635888i
\(346\) −20.5938 7.49553i −1.10713 0.402962i
\(347\) 2.06013 + 5.66016i 0.110594 + 0.303854i 0.982627 0.185594i \(-0.0594208\pi\)
−0.872033 + 0.489447i \(0.837199\pi\)
\(348\) 3.32178 7.31168i 0.178066 0.391947i
\(349\) −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
\(351\) 1.19169 20.6769i 0.0636078 1.10365i
\(352\) −6.16111 + 1.08637i −0.328388 + 0.0579037i
\(353\) 14.6066 + 8.43315i 0.777433 + 0.448851i 0.835520 0.549460i \(-0.185167\pi\)
−0.0580867 + 0.998312i \(0.518500\pi\)
\(354\) −7.65405 5.24729i −0.406808 0.278890i
\(355\) 9.58259 + 11.4201i 0.508591 + 0.606115i
\(356\) 6.89257 2.50869i 0.365306 0.132960i
\(357\) 0.147862 + 1.51697i 0.00782569 + 0.0802864i
\(358\) 16.3833 + 13.7472i 0.865882 + 0.726561i
\(359\) −16.2813 2.87084i −0.859295 0.151517i −0.273397 0.961901i \(-0.588147\pi\)
−0.585898 + 0.810385i \(0.699258\pi\)
\(360\) −7.79482 6.28192i −0.410823 0.331086i
\(361\) 18.7823 2.86764i 0.988545 0.150928i
\(362\) 18.2835i 0.960958i
\(363\) 13.0800 + 46.9511i 0.686521 + 2.46429i
\(364\) 5.50110 6.55596i 0.288336 0.343626i
\(365\) 6.45403 17.7323i 0.337819 0.928151i
\(366\) 9.42888 9.61743i 0.492856 0.502711i
\(367\) −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
\(369\) 1.30840 + 3.38475i 0.0681124 + 0.176203i
\(370\) 3.48461 + 19.7622i 0.181156 + 1.02739i
\(371\) 0.0874947 + 0.496207i 0.00454250 + 0.0257618i
\(372\) 4.03982 + 0.313177i 0.209455 + 0.0162375i
\(373\) 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
\(375\) −4.68752 4.59562i −0.242062 0.237317i
\(376\) 2.63917 7.25106i 0.136105 0.373945i
\(377\) 11.8794 14.1573i 0.611819 0.729138i
\(378\) −10.2470 4.41276i −0.527051 0.226968i
\(379\) 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 0.724815 0.688944i \(-0.241925\pi\)
−0.552614 + 0.833437i \(0.686370\pi\)
\(384\) −1.72388 + 0.168030i −0.0879714 + 0.00857477i
\(385\) −42.1222 + 15.3312i −2.14675 + 0.781351i
\(386\) −6.64414 7.91818i −0.338178 0.403025i
\(387\) 18.5282 + 2.89006i 0.941839 + 0.146910i
\(388\) 14.1347 + 8.16068i 0.717582 + 0.414296i
\(389\) −14.5009 + 2.55689i −0.735223 + 0.129640i −0.528708 0.848804i \(-0.677323\pi\)
−0.206515 + 0.978443i \(0.566212\pi\)
\(390\) −13.4002 18.7399i −0.678546 0.948932i
\(391\) 0.168006 0.290994i 0.00849641 0.0147162i
\(392\) 1.19492 + 2.06967i 0.0603527 + 0.104534i
\(393\) 10.1572 + 4.61451i 0.512361 + 0.232771i
\(394\) −4.06292 11.1628i −0.204687 0.562373i
\(395\) −39.2913 14.3009i −1.97696 0.719554i
\(396\) 3.62437 + 18.4152i 0.182132 + 0.925398i
\(397\) 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
\(399\) −5.51971 15.2418i −0.276331 0.763043i
\(400\) −6.13575 −0.306787
\(401\) −2.58090 + 14.6370i −0.128884 + 0.730937i 0.850041 + 0.526717i \(0.176577\pi\)
−0.978925 + 0.204221i \(0.934534\pi\)
\(402\) 1.52853 5.93909i 0.0762361 0.296215i
\(403\) 8.76220 + 3.18918i 0.436476 + 0.158864i
\(404\) 1.96451 + 5.39745i 0.0977381 + 0.268533i
\(405\) −18.3791 + 23.7529i −0.913267 + 1.18029i
\(406\) −4.97771 8.62165i −0.247040 0.427885i
\(407\) 18.8106 32.5809i 0.932405 1.61497i
\(408\) 0.577423 0.412894i 0.0285867 0.0204413i
\(409\) −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
\(411\) 10.5506 15.3898i 0.520422 0.759123i
\(412\) 0.710405 + 0.846628i 0.0349992 + 0.0417104i
\(413\) −10.8101 + 3.93457i −0.531932 + 0.193607i
\(414\) 1.27173 + 2.10531i 0.0625019 + 0.103470i
\(415\) 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 \(0.0653698\pi\)
−0.978987 + 0.203925i \(0.934630\pi\)
\(420\) −11.9549 + 3.33049i −0.583341 + 0.162511i
\(421\) 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
\(423\) −21.9057 7.48533i −1.06509 0.363949i
\(424\) 0.179766 0.150842i 0.00873021 0.00732552i
\(425\) 2.17775 1.25733i 0.105637 0.0609893i
\(426\) 0.598057 7.71463i 0.0289760 0.373775i
\(427\) −2.89924 16.4424i −0.140304 0.795705i
\(428\) 1.20729 + 6.84689i 0.0583566 + 0.330957i
\(429\) −3.33825 + 43.0617i −0.161172 + 2.07904i
\(430\) 18.0643 10.4294i 0.871138 0.502952i
\(431\) 8.05751 6.76105i 0.388116 0.325668i −0.427762 0.903891i \(-0.640698\pi\)
0.815879 + 0.578223i \(0.196254\pi\)
\(432\) 0.606372 + 5.16065i 0.0291741 + 0.248292i
\(433\) −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
\(435\) −25.8161 + 7.19205i −1.23779 + 0.344832i
\(436\) 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
\(441\) 6.13681 3.70698i 0.292229 0.176523i
\(442\) 1.53505 0.558711i 0.0730147 0.0265752i
\(443\) 4.79891 + 5.71912i 0.228003 + 0.271724i 0.867902 0.496736i \(-0.165468\pi\)
−0.639899 + 0.768459i \(0.721024\pi\)
\(444\) 5.88941 8.59069i 0.279499 0.407696i
\(445\) −21.1976 12.2384i −1.00486 0.580156i
\(446\) −11.6650 + 2.05686i −0.552354 + 0.0973950i
\(447\) −7.48023 + 5.34883i −0.353803 + 0.252991i
\(448\) −1.07356 + 1.85947i −0.0507211 + 0.0878516i
\(449\) 12.1781 + 21.0931i 0.574722 + 0.995447i 0.996072 + 0.0885490i \(0.0282230\pi\)
−0.421350 + 0.906898i \(0.638444\pi\)
\(450\) 0.364394 + 18.4036i 0.0171777 + 0.867555i
\(451\) −2.58825 7.11115i −0.121876 0.334851i
\(452\) −2.18949 0.796908i −0.102985 0.0374834i
\(453\) 1.10511 4.29390i 0.0519226 0.201745i
\(454\) −4.00644 + 22.7216i −0.188031 + 1.06638i
\(455\) −28.5589 −1.33886
\(456\) −4.86227 + 5.77567i −0.227697 + 0.270470i
\(457\) −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
\(459\) −1.27273 1.70741i −0.0594060 0.0796950i
\(460\) 2.57092 + 0.935738i 0.119870 + 0.0436290i
\(461\) 0.765028 + 2.10190i 0.0356309 + 0.0978951i 0.956232 0.292608i \(-0.0945232\pi\)
−0.920601 + 0.390503i \(0.872301\pi\)
\(462\) 21.1827 + 9.62353i 0.985507 + 0.447727i
\(463\) 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
\(465\) −7.86484 10.9988i −0.364723 0.510058i
\(466\) −23.2303 + 4.09613i −1.07612 + 0.189749i
\(467\) −11.3948 6.57879i −0.527288 0.304430i 0.212623 0.977134i \(-0.431799\pi\)
−0.739911 + 0.672704i \(0.765133\pi\)
\(468\) −1.84290 + 11.8148i −0.0851879 + 0.546138i
\(469\) −4.88666 5.82369i −0.225645 0.268913i
\(470\) −24.1970 + 8.80698i −1.11612 + 0.406236i
\(471\) 28.9055 2.81748i 1.33190 0.129823i
\(472\) 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
\(477\) −0.463112 0.530234i −0.0212045 0.0242778i
\(478\) −17.5182 + 20.8774i −0.801266 + 0.954911i
\(479\) −11.4643 + 31.4978i −0.523816 + 1.43917i 0.342424 + 0.939546i \(0.388752\pi\)
−0.866240 + 0.499628i \(0.833470\pi\)
\(480\) 4.12726 + 4.04635i 0.188383 + 0.184690i
\(481\) 18.3613 15.4069i 0.837202 0.702496i
\(482\) 18.4213 10.6355i 0.839065 0.484434i
\(483\) 3.03991 + 0.235661i 0.138321 + 0.0107229i
\(484\) −4.88637 27.7120i −0.222108 1.25964i
\(485\) −9.45772 53.6374i −0.429453 2.43555i
\(486\) 15.4429 2.12524i 0.700504 0.0964030i
\(487\) −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
\(489\) 12.8168 13.0730i 0.579594 0.591183i
\(490\) 2.72760 7.49402i 0.123220 0.338545i
\(491\) 15.8204 18.8540i 0.713964 0.850869i −0.280065 0.959981i \(-0.590356\pi\)
0.994030 + 0.109112i \(0.0348006\pi\)
\(492\) −0.562260 2.01825i −0.0253486 0.0909899i
\(493\) 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
\(498\) −1.55526 15.9560i −0.0696930 0.715004i
\(499\) 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
\(501\) −15.9930 10.9641i −0.714514 0.489840i
\(502\) −2.14966 1.24111i −0.0959440 0.0553933i
\(503\) −4.24201 + 0.747980i −0.189142 + 0.0333508i −0.267417 0.963581i \(-0.586170\pi\)
0.0782748 + 0.996932i \(0.475059\pi\)
\(504\) 5.64107 + 3.10963i 0.251273 + 0.138514i
\(505\) 9.58368 16.5994i 0.426468 0.738665i
\(506\) −2.56461 4.44203i −0.114011 0.197472i
\(507\) −2.06849 + 4.55303i −0.0918650 + 0.202207i
\(508\) −0.421496 1.15805i −0.0187009 0.0513802i
\(509\) −4.35756 1.58602i −0.193145 0.0702991i 0.243637 0.969867i \(-0.421660\pi\)
−0.436782 + 0.899567i \(0.643882\pi\)
\(510\) −2.29406 0.590416i −0.101583 0.0261440i
\(511\) −2.10837 + 11.9572i −0.0932690 + 0.528955i
\(512\) 1.00000 0.0441942
\(513\) 17.6124 + 14.2409i 0.777605 + 0.628753i
\(514\) 11.2564 0.496498
\(515\) 0.640425 3.63203i 0.0282205 0.160047i
\(516\) −10.4849 2.69847i −0.461572 0.118794i
\(517\) 45.3638 + 16.5111i 1.99510 + 0.726156i
\(518\) −4.41605 12.1330i −0.194030 0.533093i
\(519\) 15.7007 34.5594i 0.689185 1.51699i
\(520\) 6.65050 + 11.5190i 0.291644 + 0.505141i
\(521\) −0.205968 + 0.356747i −0.00902363 + 0.0156294i −0.870502 0.492165i \(-0.836206\pi\)
0.861478 + 0.507794i \(0.169539\pi\)
\(522\) 12.1816 + 6.71510i 0.533175 + 0.293912i
\(523\) −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
\(525\) 18.8204 + 12.9025i 0.821390 + 0.563109i
\(526\) −7.57578 9.02847i −0.330320 0.393660i
\(527\) 0.900948 0.327918i 0.0392459 0.0142843i
\(528\) −1.05122 10.7849i −0.0457487 0.469351i
\(529\) 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
\(534\) 3.40947 + 12.2384i 0.147542 + 0.529608i
\(535\) 14.9131 17.7728i 0.644751 0.768385i
\(536\) −1.21098 + 3.32715i −0.0523065 + 0.143711i
\(537\) −25.9328 + 26.4514i −1.11908 + 1.14146i
\(538\) 8.96522 7.52271i 0.386518 0.324327i
\(539\) −12.9481 + 7.47562i −0.557716 + 0.321998i
\(540\) 11.8916 12.6197i 0.511731 0.543064i
\(541\) −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
\(543\) −31.5732 2.44763i −1.35493 0.105038i
\(544\) −0.354929 + 0.204918i −0.0152175 + 0.00878581i
\(545\) −18.1538 + 15.2328i −0.777622 + 0.652502i
\(546\) 10.5848 + 10.3773i 0.452990 + 0.444109i
\(547\) 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
\(549\) 15.3458 + 17.5699i 0.654942 + 0.749867i
\(550\) 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
\(555\) −34.5932 + 3.37188i −1.46840 + 0.143128i
\(556\) −7.92402 + 2.88411i −0.336053 + 0.122313i
\(557\) 9.16196 + 10.9188i 0.388205 + 0.462644i 0.924386 0.381459i \(-0.124578\pi\)
−0.536181 + 0.844103i \(0.680134\pi\)
\(558\) −1.08163 + 6.93432i −0.0457891 + 0.293553i
\(559\) −21.5767 12.4573i −0.912599 0.526889i
\(560\) 7.05617 1.24419i 0.298178 0.0525767i
\(561\) 2.58313 + 3.61245i 0.109060 + 0.152518i
\(562\) 12.2731 21.2576i 0.517708 0.896697i
\(563\) −3.28307 5.68645i −0.138365 0.239655i 0.788513 0.615018i \(-0.210851\pi\)
−0.926878 + 0.375363i \(0.877518\pi\)
\(564\) 12.1683 + 5.52821i 0.512379 + 0.232780i
\(565\) 2.65930 + 7.30637i 0.111878 + 0.307381i
\(566\) 21.8387 + 7.94865i 0.917950 + 0.334107i
\(567\) 8.99204 17.1046i 0.377630 0.718324i
\(568\) −0.775757 + 4.39954i −0.0325501 + 0.184601i
\(569\) 45.7506 1.91797 0.958983 0.283465i \(-0.0914840\pi\)
0.958983 + 0.283465i \(0.0914840\pi\)
\(570\) 25.1940 + 0.0406643i 1.05526 + 0.00170324i
\(571\) 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
\(573\) −1.49420 + 5.80571i −0.0624212 + 0.242537i
\(574\) −2.44056 0.888292i −0.101867 0.0370766i
\(575\) −1.72053 4.72712i −0.0717510 0.197134i
\(576\) −0.0593887 2.99941i −0.00247453 0.124976i
\(577\) −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
\(579\) 14.5631 10.4135i 0.605223 0.432772i
\(580\) 15.2375 2.68678i 0.632702 0.111562i
\(581\) −17.2109 9.93674i −0.714030 0.412245i
\(582\) −15.9847 + 23.3163i −0.662586 + 0.966493i
\(583\) 0.943689 + 1.12464i 0.0390836 + 0.0465780i
\(584\) 5.31380 1.93407i 0.219887 0.0800322i
\(585\) 34.1553 20.6317i 1.41215 0.853015i
\(586\) −8.40598 7.05345i −0.347248 0.291376i
\(587\) 29.5771 + 5.21525i 1.22078 + 0.215256i 0.746661 0.665205i \(-0.231656\pi\)
0.474118 + 0.880461i \(0.342767\pi\)
\(588\) −3.73401 + 1.78641i −0.153988 + 0.0736701i
\(589\) −8.41982 + 5.75231i −0.346932 + 0.237020i
\(590\) 17.8792i 0.736074i
\(591\) 19.8206 5.52176i 0.815309 0.227135i
\(592\) −3.86538 + 4.60658i −0.158866 + 0.189329i
\(593\) −0.268437 + 0.737526i −0.0110234 + 0.0302866i −0.945082 0.326832i \(-0.894019\pi\)
0.934059 + 0.357119i \(0.116241\pi\)
\(594\) −32.2858 + 3.79356i −1.32470 + 0.155651i
\(595\) −2.24948 + 1.88754i −0.0922198 + 0.0773816i
\(596\) 4.59793 2.65462i 0.188339 0.108737i
\(597\) −3.27130 + 42.1981i −0.133886 + 1.72706i
\(598\) −0.567463 3.21824i −0.0232053 0.131604i
\(599\) −2.35948 13.3813i −0.0964057 0.546744i −0.994308 0.106548i \(-0.966020\pi\)
0.897902 0.440196i \(-0.145091\pi\)
\(600\) 0.821399 10.5956i 0.0335335 0.432565i
\(601\) 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
\(603\) 10.0514 + 3.43464i 0.409325 + 0.139869i
\(604\) −0.875527 + 2.40549i −0.0356247 + 0.0978781i
\(605\) −60.3592 + 71.9333i −2.45395 + 2.92450i
\(606\) −9.58368 + 2.66989i −0.389310 + 0.108457i
\(607\) 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
\(612\) 0.635714 + 1.05241i 0.0256972 + 0.0425411i
\(613\) 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
\(615\) −3.95324 + 5.76646i −0.159410 + 0.232526i
\(616\) −11.6331 6.71638i −0.468712 0.270611i
\(617\) 19.6258 3.46056i 0.790105 0.139317i 0.235988 0.971756i \(-0.424167\pi\)
0.554117 + 0.832439i \(0.313056\pi\)
\(618\) −1.55712 + 1.11344i −0.0626365 + 0.0447891i
\(619\) −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
\(621\) −3.80585 + 1.91426i −0.152723 + 0.0768168i
\(622\) −4.81452 13.2278i −0.193045 0.530386i
\(623\) 14.7992 + 5.38648i 0.592919 + 0.215805i
\(624\) 1.72073 6.68587i 0.0688841 0.267649i
\(625\) −3.13111 + 17.7574i −0.125244 + 0.710297i
\(626\) −18.6019 −0.743480
\(627\) −36.1335 30.4191i −1.44303 1.21482i
\(628\) −16.7677 −0.669104
\(629\) 0.427962 2.42710i 0.0170640 0.0967746i
\(630\) −4.15090 21.0905i −0.165376 0.840264i
\(631\) −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
\(633\) −26.1284 11.8704i −1.03851 0.471807i
\(634\) 13.5959 + 23.5487i 0.539960 + 0.935239i
\(635\) −2.05623 + 3.56149i −0.0815989 + 0.141334i
\(636\) 0.236418 + 0.330626i 0.00937460 + 0.0131102i
\(637\) −9.38092 + 1.65411i −0.371685 + 0.0655382i
\(638\) −25.1212 14.5037i −0.994557 0.574208i
\(639\) 13.2421 + 2.06553i 0.523849 + 0.0817112i
\(640\) −2.14500 2.55631i −0.0847885 0.101047i
\(641\) −7.06477 + 2.57137i −0.279042 + 0.101563i −0.477750 0.878496i \(-0.658548\pi\)
0.198708 + 0.980059i \(0.436325\pi\)
\(642\) −11.9853 + 1.16823i −0.473022 + 0.0461065i
\(643\) −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 \(-0.730285\pi\)
0.661983 0.749519i \(-0.269715\pi\)
\(648\) −8.99295 + 0.356262i −0.353276 + 0.0139953i
\(649\) −21.5458 + 25.6773i −0.845747 + 1.00792i
\(650\) 8.36457 22.9815i 0.328085 0.901407i
\(651\) 6.21245 + 6.09066i 0.243485 + 0.238712i
\(652\) −8.09708 + 6.79425i −0.317106 + 0.266084i
\(653\) 39.7547 22.9524i 1.55572 0.898196i 0.558063 0.829798i \(-0.311545\pi\)
0.997658 0.0683980i \(-0.0217888\pi\)
\(654\) 12.2634 + 0.950692i 0.479539 + 0.0371750i
\(655\) 3.73239 + 21.1674i 0.145836 + 0.827080i
\(656\) 0.210047 + 1.19124i 0.00820096 + 0.0465099i
\(657\) −6.11664 15.8234i −0.238633 0.617330i
\(658\) 14.3484 8.28407i 0.559360 0.322947i
\(659\) −14.3577 + 12.0475i −0.559295 + 0.469304i −0.878074 0.478525i \(-0.841172\pi\)
0.318779 + 0.947829i \(0.396727\pi\)
\(660\) −25.3146 + 25.8208i −0.985369 + 1.00507i
\(661\) 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
\(663\) 0.759323 + 2.72562i 0.0294896 + 0.105854i
\(664\) 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
\(669\) −1.99031 20.4193i −0.0769500 0.789456i
\(670\) 11.1028 4.04108i 0.428938 0.156121i
\(671\) −31.2703 37.2665i −1.20718 1.43866i
\(672\) −3.06734 2.10283i −0.118325 0.0811186i
\(673\) −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
\(675\) −31.8294 1.83445i −1.22512 0.0706082i
\(676\) 1.44363 2.50044i 0.0555241 0.0961706i
\(677\) 10.3670 + 17.9562i 0.398437 + 0.690112i 0.993533 0.113542i \(-0.0362196\pi\)
−0.595097 + 0.803654i \(0.702886\pi\)
\(678\) 1.66926 3.67427i 0.0641077 0.141110i
\(679\) 11.9858 + 32.9306i 0.459972 + 1.26376i
\(680\) 1.28516 + 0.467759i 0.0492836 + 0.0179377i
\(681\) −38.7009 9.96036i −1.48302 0.381682i
\(682\) 2.54145 14.4133i 0.0973170 0.551912i
\(683\) −2.79983 −0.107132 −0.0535662 0.998564i \(-0.517059\pi\)
−0.0535662 + 0.998564i \(0.517059\pi\)
\(684\) −9.32291 9.16970i −0.356470 0.350612i
\(685\) 35.9492 1.37355
\(686\) −3.50095 + 19.8549i −0.133667 + 0.758064i
\(687\) 23.5608 + 6.06377i 0.898899 + 0.231347i
\(688\) 5.87377 + 2.13788i 0.223935 + 0.0815058i
\(689\) 0.319912 + 0.878950i 0.0121877 + 0.0334853i
\(690\) −1.96007 + 4.31437i −0.0746186 + 0.164245i
\(691\) −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
\(693\) −19.4543 + 35.2914i −0.739009 + 1.34061i
\(694\) 5.93191 1.04596i 0.225172 0.0397040i
\(695\) 24.3697 + 14.0698i 0.924395 + 0.533700i
\(696\) −6.62378 4.54097i −0.251074 0.172125i
\(697\) −0.318658 0.379762i −0.0120700 0.0143845i
\(698\) −26.8874 + 9.78621i −1.01770 + 0.370413i
\(699\) −3.96361 40.6640i −0.149918 1.53805i
\(700\) −10.0920 8.46823i −0.381443 0.320069i
\(701\) 14.9472 + 2.63560i 0.564549 + 0.0995451i 0.448636 0.893714i \(-0.351910\pi\)
0.115912 + 0.993259i \(0.463021\pi\)
\(702\) −20.1559 4.76410i −0.760734 0.179809i
\(703\) 1.98376 + 26.1369i 0.0748190 + 0.985771i
\(704\) 6.25616i 0.235788i
\(705\) −11.9692 42.9640i −0.450787 1.61812i
\(706\) 10.8414 12.9203i 0.408023 0.486263i
\(707\) −4.21806 + 11.5890i −0.158636 + 0.435850i
\(708\) −6.49668 + 6.62659i −0.244160 + 0.249042i
\(709\) −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
\(711\) −35.0616 + 13.5533i −1.31491 + 0.508287i
\(712\) −1.27370 7.22349i −0.0477338 0.270712i
\(713\) −0.333055 1.88885i −0.0124730 0.0707380i
\(714\) 1.51960 + 0.117803i 0.0568695 + 0.00440866i
\(715\) −72.0647 + 41.6065i −2.69507 + 1.55600i
\(716\) 16.3833 13.7472i 0.612271 0.513756i
\(717\) −33.7074 33.0466i −1.25883 1.23415i
\(718\) −5.65444 + 15.5354i −0.211022 + 0.579778i
\(719\) 24.9620 29.7485i 0.930924 1.10943i −0.0628501 0.998023i \(-0.520019\pi\)
0.993775 0.111410i \(-0.0355365\pi\)
\(720\) −7.54004 + 6.58555i −0.281001 + 0.245429i
\(721\) 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
\(726\) 48.5091 4.72829i 1.80034 0.175483i
\(727\) 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
\(729\) 1.60266 + 26.9524i 0.0593577 + 0.998237i
\(730\) −16.3422 9.43516i −0.604851 0.349211i
\(731\) −2.52286 + 0.444849i −0.0933114 + 0.0164533i
\(732\) −7.83401 10.9557i −0.289553 0.404934i
\(733\) −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
\(735\) 12.5761 + 5.71344i 0.463875 + 0.210744i
\(736\) 0.280411 + 0.770422i 0.0103361 + 0.0283981i
\(737\) −20.8152 7.57610i −0.766736 0.279069i
\(738\) 3.56053 0.700763i 0.131065 0.0257955i
\(739\) −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
\(741\) −15.0043 26.0853i −0.551196 0.958269i
\(742\) 0.503862 0.0184974
\(743\) −4.95784 + 28.1173i −0.181886 + 1.03152i 0.748006 + 0.663691i \(0.231011\pi\)
−0.929892 + 0.367833i \(0.880100\pi\)
\(744\) 1.00993 3.92407i 0.0370257 0.143863i
\(745\) −16.6486 6.05959i −0.609957 0.222006i
\(746\) −1.48177 4.07112i −0.0542514 0.149054i
\(747\) 27.7621 0.549693i 1.01576 0.0201122i
\(748\) −1.28200 2.22049i −0.0468746 0.0811892i
\(749\) −7.46397 + 12.9280i −0.272727 + 0.472378i
\(750\) −5.33978 + 3.81828i −0.194981 + 0.139424i
\(751\) 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
\(753\) 2.43101 3.54603i 0.0885908 0.129225i
\(754\) −11.8794 14.1573i −0.432622 0.515578i
\(755\) 8.02719 2.92166i 0.292139 0.106330i
\(756\) −6.12510 + 9.32509i −0.222768 + 0.339150i
\(757\) 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 \(-0.839336\pi\)
0.875300 0.483580i \(-0.160664\pi\)
\(762\) 2.05623 0.572839i 0.0744893 0.0207518i
\(763\) 9.80118 11.6806i 0.354826 0.422866i
\(764\) 1.18379 3.25243i 0.0428279 0.117669i
\(765\) 1.32668 3.88250i 0.0479662 0.140372i
\(766\) 3.37004 2.82780i 0.121764 0.102172i
\(767\) −18.4945 + 10.6778i −0.667798 + 0.385553i
\(768\) −0.133871 + 1.72687i −0.00483066 + 0.0623130i
\(769\) −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
\(771\) −1.50691 + 19.4383i −0.0542699 + 0.700054i