Properties

Label 224.2.bd.a.37.16
Level $224$
Weight $2$
Character 224.37
Analytic conductor $1.789$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 224.bd (of order \(24\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.78864900528\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{24})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label 37.16
Character \(\chi\) \(=\) 224.37
Dual form 224.2.bd.a.109.16

$q$-expansion

\(f(q)\) \(=\) \(q+(0.131818 - 1.40806i) q^{2} +(-0.751048 + 0.978785i) q^{3} +(-1.96525 - 0.371216i) q^{4} +(-1.09067 + 0.836901i) q^{5} +(1.27918 + 1.18654i) q^{6} +(0.448114 + 2.60753i) q^{7} +(-0.781748 + 2.71825i) q^{8} +(0.382510 + 1.42755i) q^{9} +O(q^{10})\) \(q+(0.131818 - 1.40806i) q^{2} +(-0.751048 + 0.978785i) q^{3} +(-1.96525 - 0.371216i) q^{4} +(-1.09067 + 0.836901i) q^{5} +(1.27918 + 1.18654i) q^{6} +(0.448114 + 2.60753i) q^{7} +(-0.781748 + 2.71825i) q^{8} +(0.382510 + 1.42755i) q^{9} +(1.03463 + 1.64604i) q^{10} +(5.29222 - 0.696734i) q^{11} +(1.83934 - 1.64475i) q^{12} +(-3.19829 + 1.32478i) q^{13} +(3.73061 - 0.287250i) q^{14} -1.69608i q^{15} +(3.72440 + 1.45906i) q^{16} +(-3.67476 + 2.12163i) q^{17} +(2.06049 - 0.350419i) q^{18} +(0.438796 - 3.33299i) q^{19} +(2.45411 - 1.23984i) q^{20} +(-2.88876 - 1.51977i) q^{21} +(-0.283429 - 7.54359i) q^{22} +(1.78678 + 6.66837i) q^{23} +(-2.07345 - 2.80670i) q^{24} +(-0.804936 + 3.00406i) q^{25} +(1.44377 + 4.67801i) q^{26} +(-5.10400 - 2.11415i) q^{27} +(0.0872989 - 5.29078i) q^{28} +(-0.342826 - 0.827656i) q^{29} +(-2.38818 - 0.223575i) q^{30} +(-1.28520 - 2.22602i) q^{31} +(2.54539 - 5.05183i) q^{32} +(-3.29276 + 5.70323i) q^{33} +(2.50297 + 5.45394i) q^{34} +(-2.67099 - 2.46892i) q^{35} +(-0.221800 - 2.94748i) q^{36} +(0.296782 - 0.227728i) q^{37} +(-4.63519 - 1.05720i) q^{38} +(1.10540 - 4.12541i) q^{39} +(-1.42227 - 3.61896i) q^{40} +(5.92559 - 5.92559i) q^{41} +(-2.52072 + 3.86721i) q^{42} +(2.50543 - 6.04865i) q^{43} +(-10.6592 - 0.595300i) q^{44} +(-1.61191 - 1.23686i) q^{45} +(9.62497 - 1.63688i) q^{46} +(5.69194 + 3.28625i) q^{47} +(-4.22531 + 2.54956i) q^{48} +(-6.59839 + 2.33694i) q^{49} +(4.12379 + 1.52939i) q^{50} +(0.683309 - 5.19025i) q^{51} +(6.77722 - 1.41626i) q^{52} +(-6.50416 + 0.856289i) q^{53} +(-3.64964 + 6.90804i) q^{54} +(-5.18897 + 5.18897i) q^{55} +(-7.43821 - 0.820344i) q^{56} +(2.93272 + 2.93272i) q^{57} +(-1.21058 + 0.373618i) q^{58} +(1.38821 + 10.5445i) q^{59} +(-0.629613 + 3.33323i) q^{60} +(5.00297 + 0.658653i) q^{61} +(-3.30378 + 1.51620i) q^{62} +(-3.55096 + 1.63711i) q^{63} +(-6.77774 - 4.24997i) q^{64} +(2.37958 - 4.12155i) q^{65} +(7.59642 + 5.38818i) q^{66} +(9.27915 - 12.0928i) q^{67} +(8.00940 - 2.80539i) q^{68} +(-7.86886 - 3.25939i) q^{69} +(-3.82847 + 3.43545i) q^{70} +(2.99261 + 2.99261i) q^{71} +(-4.17946 - 0.0762257i) q^{72} +(-7.58534 - 2.03249i) q^{73} +(-0.281533 - 0.447904i) q^{74} +(-2.33579 - 3.04406i) q^{75} +(-2.09960 + 6.38726i) q^{76} +(4.18827 + 13.4874i) q^{77} +(-5.66310 - 2.10027i) q^{78} +(-8.00108 - 4.61942i) q^{79} +(-5.28318 + 1.52560i) q^{80} +(2.06294 - 1.19104i) q^{81} +(-7.56247 - 9.12467i) q^{82} +(6.90241 - 2.85907i) q^{83} +(5.11297 + 4.05908i) q^{84} +(2.23237 - 5.38941i) q^{85} +(-8.18658 - 4.32511i) q^{86} +(1.06758 + 0.286056i) q^{87} +(-2.24329 + 14.9302i) q^{88} +(17.5710 - 4.70814i) q^{89} +(-1.95405 + 2.10662i) q^{90} +(-4.88759 - 7.74598i) q^{91} +(-1.03607 - 13.7683i) q^{92} +(3.14404 + 0.413921i) q^{93} +(5.37752 - 7.58139i) q^{94} +(2.31080 + 4.00242i) q^{95} +(3.03295 + 6.28555i) q^{96} +10.7200 q^{97} +(2.42075 + 9.59896i) q^{98} +(3.01895 + 7.28839i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9} + O(q^{10}) \) \( 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9} - 4 q^{10} - 4 q^{11} - 4 q^{12} - 16 q^{13} + 24 q^{14} - 24 q^{16} - 24 q^{18} - 4 q^{19} - 48 q^{20} - 8 q^{21} - 24 q^{22} - 12 q^{23} + 36 q^{24} - 4 q^{25} - 4 q^{26} - 16 q^{27} + 12 q^{28} - 16 q^{29} + 44 q^{30} - 56 q^{31} - 4 q^{32} - 8 q^{33} - 32 q^{34} - 32 q^{35} - 96 q^{36} - 4 q^{37} + 36 q^{38} - 4 q^{39} - 68 q^{40} - 16 q^{41} - 28 q^{42} + 44 q^{44} + 8 q^{45} - 4 q^{46} - 16 q^{48} + 8 q^{50} - 28 q^{51} - 28 q^{52} - 20 q^{53} - 92 q^{54} - 16 q^{55} - 48 q^{56} - 16 q^{57} + 28 q^{58} - 36 q^{59} + 60 q^{60} - 4 q^{61} - 16 q^{63} + 56 q^{64} - 8 q^{65} - 36 q^{66} + 36 q^{67} - 36 q^{68} - 16 q^{69} - 44 q^{70} + 48 q^{71} - 4 q^{72} - 4 q^{73} + 68 q^{74} + 16 q^{75} - 16 q^{76} - 8 q^{77} - 120 q^{78} - 16 q^{80} - 44 q^{82} - 96 q^{83} - 28 q^{84} - 56 q^{85} - 4 q^{86} - 4 q^{87} + 40 q^{88} - 4 q^{89} + 224 q^{90} - 56 q^{91} - 80 q^{92} + 20 q^{93} + 4 q^{94} - 8 q^{95} - 32 q^{96} - 32 q^{97} + 96 q^{98} + 8 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.131818 1.40806i 0.0932097 0.995647i
\(3\) −0.751048 + 0.978785i −0.433618 + 0.565102i −0.958142 0.286294i \(-0.907577\pi\)
0.524524 + 0.851396i \(0.324243\pi\)
\(4\) −1.96525 0.371216i −0.982624 0.185608i
\(5\) −1.09067 + 0.836901i −0.487763 + 0.374273i −0.823166 0.567801i \(-0.807794\pi\)
0.335403 + 0.942075i \(0.391128\pi\)
\(6\) 1.27918 + 1.18654i 0.522224 + 0.484403i
\(7\) 0.448114 + 2.60753i 0.169371 + 0.985552i
\(8\) −0.781748 + 2.71825i −0.276390 + 0.961046i
\(9\) 0.382510 + 1.42755i 0.127503 + 0.475849i
\(10\) 1.03463 + 1.64604i 0.327180 + 0.520525i
\(11\) 5.29222 0.696734i 1.59567 0.210073i 0.720345 0.693616i \(-0.243984\pi\)
0.875321 + 0.483543i \(0.160650\pi\)
\(12\) 1.83934 1.64475i 0.530971 0.474800i
\(13\) −3.19829 + 1.32478i −0.887047 + 0.367427i −0.779226 0.626743i \(-0.784387\pi\)
−0.107821 + 0.994170i \(0.534387\pi\)
\(14\) 3.73061 0.287250i 0.997049 0.0767709i
\(15\) 1.69608i 0.437927i
\(16\) 3.72440 + 1.45906i 0.931099 + 0.364765i
\(17\) −3.67476 + 2.12163i −0.891261 + 0.514570i −0.874355 0.485287i \(-0.838715\pi\)
−0.0169063 + 0.999857i \(0.505382\pi\)
\(18\) 2.06049 0.350419i 0.485662 0.0825946i
\(19\) 0.438796 3.33299i 0.100667 0.764639i −0.864431 0.502751i \(-0.832321\pi\)
0.965098 0.261889i \(-0.0843453\pi\)
\(20\) 2.45411 1.23984i 0.548755 0.277238i
\(21\) −2.88876 1.51977i −0.630380 0.331641i
\(22\) −0.283429 7.54359i −0.0604273 1.60830i
\(23\) 1.78678 + 6.66837i 0.372570 + 1.39045i 0.856863 + 0.515545i \(0.172410\pi\)
−0.484292 + 0.874906i \(0.660923\pi\)
\(24\) −2.07345 2.80670i −0.423241 0.572915i
\(25\) −0.804936 + 3.00406i −0.160987 + 0.600813i
\(26\) 1.44377 + 4.67801i 0.283146 + 0.917433i
\(27\) −5.10400 2.11415i −0.982266 0.406868i
\(28\) 0.0872989 5.29078i 0.0164979 0.999864i
\(29\) −0.342826 0.827656i −0.0636612 0.153692i 0.888847 0.458203i \(-0.151507\pi\)
−0.952509 + 0.304511i \(0.901507\pi\)
\(30\) −2.38818 0.223575i −0.436021 0.0408191i
\(31\) −1.28520 2.22602i −0.230828 0.399806i 0.727224 0.686400i \(-0.240810\pi\)
−0.958052 + 0.286594i \(0.907477\pi\)
\(32\) 2.54539 5.05183i 0.449965 0.893046i
\(33\) −3.29276 + 5.70323i −0.573196 + 0.992805i
\(34\) 2.50297 + 5.45394i 0.429255 + 0.935344i
\(35\) −2.67099 2.46892i −0.451479 0.417324i
\(36\) −0.221800 2.94748i −0.0369666 0.491247i
\(37\) 0.296782 0.227728i 0.0487906 0.0374383i −0.584078 0.811697i \(-0.698544\pi\)
0.632869 + 0.774259i \(0.281877\pi\)
\(38\) −4.63519 1.05720i −0.751927 0.171500i
\(39\) 1.10540 4.12541i 0.177006 0.660595i
\(40\) −1.42227 3.61896i −0.224881 0.572208i
\(41\) 5.92559 5.92559i 0.925422 0.925422i −0.0719839 0.997406i \(-0.522933\pi\)
0.997406 + 0.0719839i \(0.0229330\pi\)
\(42\) −2.52072 + 3.86721i −0.388955 + 0.596723i
\(43\) 2.50543 6.04865i 0.382075 0.922410i −0.609489 0.792794i \(-0.708626\pi\)
0.991564 0.129616i \(-0.0413745\pi\)
\(44\) −10.6592 0.595300i −1.60693 0.0897448i
\(45\) −1.61191 1.23686i −0.240289 0.184380i
\(46\) 9.62497 1.63688i 1.41913 0.241345i
\(47\) 5.69194 + 3.28625i 0.830255 + 0.479348i 0.853940 0.520371i \(-0.174206\pi\)
−0.0236847 + 0.999719i \(0.507540\pi\)
\(48\) −4.22531 + 2.54956i −0.609871 + 0.367997i
\(49\) −6.59839 + 2.33694i −0.942627 + 0.333848i
\(50\) 4.12379 + 1.52939i 0.583191 + 0.216288i
\(51\) 0.683309 5.19025i 0.0956824 0.726780i
\(52\) 6.77722 1.41626i 0.939831 0.196400i
\(53\) −6.50416 + 0.856289i −0.893416 + 0.117620i −0.563234 0.826297i \(-0.690443\pi\)
−0.330181 + 0.943918i \(0.607110\pi\)
\(54\) −3.64964 + 6.90804i −0.496653 + 0.940066i
\(55\) −5.18897 + 5.18897i −0.699681 + 0.699681i
\(56\) −7.43821 0.820344i −0.993973 0.109623i
\(57\) 2.93272 + 2.93272i 0.388448 + 0.388448i
\(58\) −1.21058 + 0.373618i −0.158957 + 0.0490585i
\(59\) 1.38821 + 10.5445i 0.180730 + 1.37278i 0.805789 + 0.592203i \(0.201742\pi\)
−0.625059 + 0.780578i \(0.714925\pi\)
\(60\) −0.629613 + 3.33323i −0.0812827 + 0.430318i
\(61\) 5.00297 + 0.658653i 0.640565 + 0.0843319i 0.443810 0.896121i \(-0.353626\pi\)
0.196755 + 0.980453i \(0.436960\pi\)
\(62\) −3.30378 + 1.51620i −0.419580 + 0.192557i
\(63\) −3.55096 + 1.63711i −0.447379 + 0.206257i
\(64\) −6.77774 4.24997i −0.847217 0.531246i
\(65\) 2.37958 4.12155i 0.295150 0.511215i
\(66\) 7.59642 + 5.38818i 0.935055 + 0.663240i
\(67\) 9.27915 12.0928i 1.13363 1.47737i 0.277417 0.960750i \(-0.410522\pi\)
0.856212 0.516625i \(-0.172812\pi\)
\(68\) 8.00940 2.80539i 0.971283 0.340204i
\(69\) −7.86886 3.25939i −0.947300 0.392384i
\(70\) −3.82847 + 3.43545i −0.457590 + 0.410615i
\(71\) 2.99261 + 2.99261i 0.355157 + 0.355157i 0.862024 0.506867i \(-0.169197\pi\)
−0.506867 + 0.862024i \(0.669197\pi\)
\(72\) −4.17946 0.0762257i −0.492554 0.00898329i
\(73\) −7.58534 2.03249i −0.887797 0.237885i −0.214029 0.976827i \(-0.568659\pi\)
−0.673768 + 0.738943i \(0.735325\pi\)
\(74\) −0.281533 0.447904i −0.0327276 0.0520678i
\(75\) −2.33579 3.04406i −0.269713 0.351497i
\(76\) −2.09960 + 6.38726i −0.240841 + 0.732668i
\(77\) 4.18827 + 13.4874i 0.477298 + 1.53703i
\(78\) −5.66310 2.10027i −0.641220 0.237809i
\(79\) −8.00108 4.61942i −0.900192 0.519726i −0.0229292 0.999737i \(-0.507299\pi\)
−0.877262 + 0.480011i \(0.840633\pi\)
\(80\) −5.28318 + 1.52560i −0.590678 + 0.170567i
\(81\) 2.06294 1.19104i 0.229215 0.132337i
\(82\) −7.56247 9.12467i −0.835135 1.00765i
\(83\) 6.90241 2.85907i 0.757638 0.313824i 0.0297841 0.999556i \(-0.490518\pi\)
0.727854 + 0.685733i \(0.240518\pi\)
\(84\) 5.11297 + 4.05908i 0.557871 + 0.442882i
\(85\) 2.23237 5.38941i 0.242134 0.584563i
\(86\) −8.18658 4.32511i −0.882781 0.466389i
\(87\) 1.06758 + 0.286056i 0.114456 + 0.0306684i
\(88\) −2.24329 + 14.9302i −0.239136 + 1.59157i
\(89\) 17.5710 4.70814i 1.86252 0.499062i 0.862548 0.505975i \(-0.168867\pi\)
0.999976 + 0.00691275i \(0.00220042\pi\)
\(90\) −1.95405 + 2.10662i −0.205975 + 0.222057i
\(91\) −4.88759 7.74598i −0.512359 0.812000i
\(92\) −1.03607 13.7683i −0.108018 1.43544i
\(93\) 3.14404 + 0.413921i 0.326022 + 0.0429216i
\(94\) 5.37752 7.58139i 0.554649 0.781961i
\(95\) 2.31080 + 4.00242i 0.237083 + 0.410639i
\(96\) 3.03295 + 6.28555i 0.309549 + 0.641517i
\(97\) 10.7200 1.08845 0.544226 0.838938i \(-0.316823\pi\)
0.544226 + 0.838938i \(0.316823\pi\)
\(98\) 2.42075 + 9.59896i 0.244533 + 0.969641i
\(99\) 3.01895 + 7.28839i 0.303416 + 0.732511i
\(100\) 2.69705 5.60492i 0.269705 0.560492i
\(101\) 0.813049 + 6.17572i 0.0809014 + 0.614507i 0.983084 + 0.183154i \(0.0586306\pi\)
−0.902183 + 0.431354i \(0.858036\pi\)
\(102\) −7.21809 1.64631i −0.714697 0.163009i
\(103\) 13.1504 3.52365i 1.29575 0.347196i 0.455909 0.890026i \(-0.349314\pi\)
0.839842 + 0.542831i \(0.182647\pi\)
\(104\) −1.10081 9.72940i −0.107943 0.954046i
\(105\) 4.42259 0.760040i 0.431600 0.0741723i
\(106\) 0.348336 + 9.27111i 0.0338334 + 0.900490i
\(107\) 6.44508 + 8.39939i 0.623069 + 0.812000i 0.993131 0.117007i \(-0.0373301\pi\)
−0.370062 + 0.929007i \(0.620663\pi\)
\(108\) 9.24583 + 6.04951i 0.889680 + 0.582114i
\(109\) −10.2001 7.82684i −0.976995 0.749675i −0.00882350 0.999961i \(-0.502809\pi\)
−0.968172 + 0.250286i \(0.919475\pi\)
\(110\) 6.62237 + 7.99037i 0.631418 + 0.761852i
\(111\) 0.461520i 0.0438056i
\(112\) −2.13558 + 10.3653i −0.201794 + 0.979428i
\(113\) 0.637686i 0.0599884i 0.999550 + 0.0299942i \(0.00954889\pi\)
−0.999550 + 0.0299942i \(0.990451\pi\)
\(114\) 4.51602 3.74285i 0.422964 0.350550i
\(115\) −7.52956 5.77763i −0.702135 0.538767i
\(116\) 0.366500 + 1.75381i 0.0340286 + 0.162837i
\(117\) −3.11456 4.05898i −0.287941 0.375253i
\(118\) 15.0303 0.564720i 1.38365 0.0519867i
\(119\) −7.17891 8.63131i −0.658089 0.791231i
\(120\) 4.61038 + 1.32591i 0.420868 + 0.121039i
\(121\) 16.8970 4.52754i 1.53609 0.411594i
\(122\) 1.58690 6.95764i 0.143672 0.629915i
\(123\) 1.34948 + 10.2503i 0.121678 + 0.924237i
\(124\) 1.69939 + 4.85177i 0.152610 + 0.435702i
\(125\) −4.26667 10.3007i −0.381623 0.921319i
\(126\) 1.83706 + 5.21576i 0.163659 + 0.464656i
\(127\) −0.495833 −0.0439981 −0.0219990 0.999758i \(-0.507003\pi\)
−0.0219990 + 0.999758i \(0.507003\pi\)
\(128\) −6.87763 + 8.98322i −0.607903 + 0.794012i
\(129\) 4.03863 + 6.99510i 0.355581 + 0.615885i
\(130\) −5.48970 3.89388i −0.481479 0.341516i
\(131\) −8.48817 1.11749i −0.741615 0.0976354i −0.249754 0.968309i \(-0.580350\pi\)
−0.491861 + 0.870674i \(0.663683\pi\)
\(132\) 8.58822 9.98593i 0.747508 0.869164i
\(133\) 8.88748 0.349386i 0.770642 0.0302957i
\(134\) −15.8042 14.6596i −1.36528 1.26640i
\(135\) 7.33612 1.96571i 0.631393 0.169181i
\(136\) −2.89436 11.6475i −0.248190 0.998764i
\(137\) 1.35035 + 0.361824i 0.115368 + 0.0309127i 0.316041 0.948746i \(-0.397646\pi\)
−0.200673 + 0.979658i \(0.564313\pi\)
\(138\) −5.62667 + 10.6502i −0.478974 + 0.906602i
\(139\) −2.56095 + 6.18268i −0.217217 + 0.524408i −0.994499 0.104744i \(-0.966598\pi\)
0.777282 + 0.629152i \(0.216598\pi\)
\(140\) 4.33265 + 5.84356i 0.366175 + 0.493871i
\(141\) −7.49145 + 3.10306i −0.630894 + 0.261325i
\(142\) 4.60824 3.81928i 0.386715 0.320507i
\(143\) −16.0031 + 9.23937i −1.33824 + 0.772635i
\(144\) −0.658259 + 5.87486i −0.0548549 + 0.489572i
\(145\) 1.06658 + 0.615788i 0.0885743 + 0.0511384i
\(146\) −3.86174 + 10.4127i −0.319600 + 0.861759i
\(147\) 2.66835 8.21356i 0.220081 0.677443i
\(148\) −0.667786 + 0.337373i −0.0548916 + 0.0277319i
\(149\) 1.61742 + 2.10786i 0.132504 + 0.172683i 0.854893 0.518804i \(-0.173623\pi\)
−0.722389 + 0.691487i \(0.756956\pi\)
\(150\) −4.59410 + 2.88766i −0.375107 + 0.235776i
\(151\) 7.87773 + 2.11083i 0.641081 + 0.171777i 0.564693 0.825301i \(-0.308995\pi\)
0.0763879 + 0.997078i \(0.475661\pi\)
\(152\) 8.71685 + 3.79831i 0.707030 + 0.308084i
\(153\) −4.43436 4.43436i −0.358497 0.358497i
\(154\) 19.5431 4.11944i 1.57483 0.331954i
\(155\) 3.26469 + 1.35228i 0.262226 + 0.108618i
\(156\) −3.70381 + 7.69712i −0.296542 + 0.616263i
\(157\) −5.24248 + 6.83214i −0.418396 + 0.545264i −0.954236 0.299056i \(-0.903328\pi\)
0.535840 + 0.844320i \(0.319995\pi\)
\(158\) −7.55910 + 10.6570i −0.601370 + 0.847829i
\(159\) 4.04682 7.00929i 0.320933 0.555873i
\(160\) 1.45171 + 7.64012i 0.114767 + 0.604005i
\(161\) −16.5873 + 7.64728i −1.30726 + 0.602690i
\(162\) −1.40511 3.06173i −0.110396 0.240552i
\(163\) −3.42791 0.451293i −0.268495 0.0353480i −0.00492330 0.999988i \(-0.501567\pi\)
−0.263571 + 0.964640i \(0.584900\pi\)
\(164\) −13.8449 + 9.44558i −1.08111 + 0.737576i
\(165\) −1.18172 8.97606i −0.0919968 0.698785i
\(166\) −3.11587 10.0959i −0.241838 0.783591i
\(167\) 5.45656 + 5.45656i 0.422241 + 0.422241i 0.885975 0.463734i \(-0.153491\pi\)
−0.463734 + 0.885975i \(0.653491\pi\)
\(168\) 6.38940 6.66429i 0.492953 0.514162i
\(169\) −0.718337 + 0.718337i −0.0552567 + 0.0552567i
\(170\) −7.29432 3.85372i −0.559449 0.295567i
\(171\) 4.92584 0.648499i 0.376689 0.0495920i
\(172\) −7.16915 + 10.9570i −0.546642 + 0.835466i
\(173\) −1.90827 + 14.4948i −0.145083 + 1.10202i 0.751686 + 0.659521i \(0.229241\pi\)
−0.896770 + 0.442497i \(0.854093\pi\)
\(174\) 0.543509 1.46550i 0.0412033 0.111099i
\(175\) −8.19388 0.752729i −0.619399 0.0569010i
\(176\) 20.7269 + 5.12676i 1.56235 + 0.386444i
\(177\) −11.3634 6.56069i −0.854128 0.493131i
\(178\) −4.31315 25.3616i −0.323284 1.90093i
\(179\) 3.28463 + 2.52038i 0.245504 + 0.188382i 0.724183 0.689608i \(-0.242217\pi\)
−0.478678 + 0.877990i \(0.658884\pi\)
\(180\) 2.70866 + 3.02910i 0.201891 + 0.225776i
\(181\) 6.41174 15.4793i 0.476581 1.15057i −0.484622 0.874724i \(-0.661043\pi\)
0.961202 0.275844i \(-0.0889573\pi\)
\(182\) −11.5511 + 5.86094i −0.856222 + 0.434442i
\(183\) −4.40215 + 4.40215i −0.325416 + 0.325416i
\(184\) −19.5231 0.356066i −1.43926 0.0262495i
\(185\) −0.133105 + 0.496753i −0.00978605 + 0.0365220i
\(186\) 0.997267 4.37243i 0.0731231 0.320602i
\(187\) −17.9695 + 13.7884i −1.31406 + 1.00831i
\(188\) −9.96618 8.57123i −0.726858 0.625121i
\(189\) 3.22552 14.2562i 0.234622 1.03699i
\(190\) 5.94024 2.72614i 0.430950 0.197775i
\(191\) −2.30357 + 3.98989i −0.166680 + 0.288698i −0.937251 0.348656i \(-0.886638\pi\)
0.770571 + 0.637355i \(0.219971\pi\)
\(192\) 9.25022 3.44202i 0.667577 0.248406i
\(193\) 2.25385 + 3.90378i 0.162236 + 0.281000i 0.935670 0.352876i \(-0.114796\pi\)
−0.773435 + 0.633876i \(0.781463\pi\)
\(194\) 1.41310 15.0944i 0.101454 1.08371i
\(195\) 2.24693 + 5.42458i 0.160906 + 0.388462i
\(196\) 13.8350 2.14324i 0.988212 0.153089i
\(197\) −13.6869 5.66929i −0.975150 0.403920i −0.162523 0.986705i \(-0.551963\pi\)
−0.812627 + 0.582785i \(0.801963\pi\)
\(198\) 10.6604 3.29011i 0.757603 0.233818i
\(199\) −4.64150 + 17.3223i −0.329027 + 1.22795i 0.581174 + 0.813779i \(0.302593\pi\)
−0.910201 + 0.414166i \(0.864073\pi\)
\(200\) −7.53653 4.53644i −0.532913 0.320775i
\(201\) 4.86719 + 18.1646i 0.343305 + 1.28123i
\(202\) 8.80294 0.330746i 0.619373 0.0232712i
\(203\) 2.00451 1.26481i 0.140689 0.0887724i
\(204\) −3.26957 + 9.94647i −0.228916 + 0.696392i
\(205\) −1.50373 + 11.4220i −0.105025 + 0.797747i
\(206\) −3.22803 18.9811i −0.224907 1.32247i
\(207\) −8.83596 + 5.10144i −0.614141 + 0.354575i
\(208\) −13.8447 + 0.267489i −0.959954 + 0.0185470i
\(209\) 17.9446i 1.24126i
\(210\) −0.487201 6.32744i −0.0336201 0.436635i
\(211\) 2.81698 1.16683i 0.193929 0.0803279i −0.283606 0.958941i \(-0.591531\pi\)
0.477534 + 0.878613i \(0.341531\pi\)
\(212\) 13.1002 + 0.731626i 0.899723 + 0.0502483i
\(213\) −5.17671 + 0.681527i −0.354702 + 0.0466974i
\(214\) 12.6764 7.96784i 0.866541 0.544671i
\(215\) 2.32952 + 8.69388i 0.158872 + 0.592918i
\(216\) 9.73682 12.2212i 0.662507 0.831548i
\(217\) 5.22850 4.34869i 0.354934 0.295209i
\(218\) −12.3652 + 13.3306i −0.837477 + 0.902865i
\(219\) 7.68633 5.89793i 0.519394 0.398545i
\(220\) 12.1238 8.27139i 0.817390 0.557657i
\(221\) 8.94229 11.6538i 0.601524 0.783921i
\(222\) 0.649847 + 0.0608369i 0.0436149 + 0.00408310i
\(223\) −20.6847 −1.38515 −0.692576 0.721345i \(-0.743524\pi\)
−0.692576 + 0.721345i \(0.743524\pi\)
\(224\) 14.3134 + 4.37336i 0.956355 + 0.292207i
\(225\) −4.59634 −0.306423
\(226\) 0.897898 + 0.0840587i 0.0597273 + 0.00559150i
\(227\) 1.56612 2.04101i 0.103947 0.135467i −0.738483 0.674272i \(-0.764458\pi\)
0.842430 + 0.538805i \(0.181124\pi\)
\(228\) −4.67485 6.85219i −0.309599 0.453798i
\(229\) 5.61092 4.30541i 0.370780 0.284509i −0.406517 0.913643i \(-0.633257\pi\)
0.777297 + 0.629134i \(0.216590\pi\)
\(230\) −9.12777 + 9.84045i −0.601867 + 0.648860i
\(231\) −16.3469 6.03026i −1.07554 0.396762i
\(232\) 2.51778 0.284868i 0.165300 0.0187025i
\(233\) −3.90521 14.5744i −0.255839 0.954803i −0.967622 0.252404i \(-0.918779\pi\)
0.711783 0.702399i \(-0.247888\pi\)
\(234\) −6.12583 + 3.85043i −0.400458 + 0.251711i
\(235\) −8.95830 + 1.17938i −0.584375 + 0.0769344i
\(236\) 1.18611 21.2379i 0.0772092 1.38247i
\(237\) 10.5306 4.36192i 0.684037 0.283337i
\(238\) −13.0997 + 8.97055i −0.849127 + 0.581474i
\(239\) 21.6519i 1.40054i −0.713877 0.700271i \(-0.753062\pi\)
0.713877 0.700271i \(-0.246938\pi\)
\(240\) 2.47469 6.31689i 0.159741 0.407754i
\(241\) 16.6150 9.59269i 1.07027 0.617920i 0.142014 0.989865i \(-0.454642\pi\)
0.928255 + 0.371945i \(0.121309\pi\)
\(242\) −4.14769 24.3887i −0.266624 1.56777i
\(243\) 1.77969 13.5181i 0.114167 0.867188i
\(244\) −9.58757 3.15160i −0.613781 0.201760i
\(245\) 5.24088 8.07103i 0.334828 0.515639i
\(246\) 14.6109 0.548962i 0.931555 0.0350005i
\(247\) 3.01206 + 11.2412i 0.191653 + 0.715259i
\(248\) 7.05558 1.75329i 0.448030 0.111334i
\(249\) −2.38562 + 8.90327i −0.151183 + 0.564222i
\(250\) −15.0663 + 4.64990i −0.952879 + 0.294086i
\(251\) −14.2059 5.88428i −0.896670 0.371413i −0.113731 0.993512i \(-0.536280\pi\)
−0.782939 + 0.622099i \(0.786280\pi\)
\(252\) 7.58624 1.89916i 0.477888 0.119636i
\(253\) 14.1021 + 34.0456i 0.886594 + 2.14043i
\(254\) −0.0653599 + 0.698161i −0.00410105 + 0.0438065i
\(255\) 3.59846 + 6.23271i 0.225344 + 0.390307i
\(256\) 11.7423 + 10.8682i 0.733893 + 0.679266i
\(257\) −5.88985 + 10.2015i −0.367399 + 0.636353i −0.989158 0.146855i \(-0.953085\pi\)
0.621759 + 0.783208i \(0.286418\pi\)
\(258\) 10.3819 4.76453i 0.646347 0.296627i
\(259\) 0.726800 + 0.671817i 0.0451612 + 0.0417447i
\(260\) −6.20644 + 7.21653i −0.384907 + 0.447550i
\(261\) 1.05038 0.805988i 0.0650171 0.0498894i
\(262\) −2.69238 + 11.8045i −0.166336 + 0.729286i
\(263\) 4.53377 16.9203i 0.279564 1.04335i −0.673156 0.739500i \(-0.735062\pi\)
0.952720 0.303848i \(-0.0982716\pi\)
\(264\) −12.9287 13.4090i −0.795705 0.825269i
\(265\) 6.37727 6.37727i 0.391753 0.391753i
\(266\) 0.679577 12.5601i 0.0416676 0.770111i
\(267\) −8.58842 + 20.7343i −0.525603 + 1.26892i
\(268\) −22.7249 + 20.3208i −1.38814 + 1.24129i
\(269\) 15.8619 + 12.1712i 0.967116 + 0.742094i 0.966170 0.257905i \(-0.0830323\pi\)
0.000945779 1.00000i \(0.499699\pi\)
\(270\) −1.80079 10.5888i −0.109593 0.644413i
\(271\) −8.90638 5.14210i −0.541024 0.312360i 0.204470 0.978873i \(-0.434453\pi\)
−0.745494 + 0.666513i \(0.767786\pi\)
\(272\) −16.7819 + 2.54007i −1.01755 + 0.154015i
\(273\) 11.2525 + 1.03371i 0.681030 + 0.0625628i
\(274\) 0.687470 1.85367i 0.0415316 0.111984i
\(275\) −2.16687 + 16.4590i −0.130667 + 0.992515i
\(276\) 14.2543 + 9.32655i 0.858010 + 0.561392i
\(277\) −17.4642 + 2.29921i −1.04932 + 0.138146i −0.635414 0.772172i \(-0.719170\pi\)
−0.413910 + 0.910318i \(0.635837\pi\)
\(278\) 8.36798 + 4.42095i 0.501878 + 0.265151i
\(279\) 2.68616 2.68616i 0.160816 0.160816i
\(280\) 8.79919 5.33032i 0.525852 0.318548i
\(281\) −4.64771 4.64771i −0.277259 0.277259i 0.554755 0.832014i \(-0.312812\pi\)
−0.832014 + 0.554755i \(0.812812\pi\)
\(282\) 3.38178 + 10.9574i 0.201382 + 0.652506i
\(283\) −0.128183 0.973645i −0.00761968 0.0578772i 0.987213 0.159409i \(-0.0509589\pi\)
−0.994832 + 0.101532i \(0.967626\pi\)
\(284\) −4.77031 6.99212i −0.283066 0.414906i
\(285\) −5.65303 0.744235i −0.334856 0.0440847i
\(286\) 10.9001 + 23.7511i 0.644534 + 1.40443i
\(287\) 18.1065 + 12.7958i 1.06879 + 0.755312i
\(288\) 8.18537 + 1.70128i 0.482328 + 0.100249i
\(289\) 0.502591 0.870512i 0.0295642 0.0512066i
\(290\) 1.00766 1.42063i 0.0591718 0.0834221i
\(291\) −8.05125 + 10.4926i −0.471973 + 0.615087i
\(292\) 14.1526 + 6.81014i 0.828218 + 0.398533i
\(293\) 24.2730 + 10.0542i 1.41804 + 0.587372i 0.954368 0.298634i \(-0.0965311\pi\)
0.463673 + 0.886006i \(0.346531\pi\)
\(294\) −11.2134 4.83988i −0.653980 0.282268i
\(295\) −10.3388 10.3388i −0.601949 0.601949i
\(296\) 0.387014 + 0.984752i 0.0224947 + 0.0572375i
\(297\) −28.4845 7.63241i −1.65284 0.442877i
\(298\) 3.18120 1.99957i 0.184282 0.115832i
\(299\) −14.5488 18.9603i −0.841377 1.09650i
\(300\) 3.46040 + 6.84940i 0.199786 + 0.395450i
\(301\) 16.8947 + 3.82249i 0.973796 + 0.220325i
\(302\) 4.01060 10.8140i 0.230784 0.622279i
\(303\) −6.65534 3.84246i −0.382339 0.220744i
\(304\) 6.49728 11.7731i 0.372645 0.675236i
\(305\) −6.00782 + 3.46862i −0.344007 + 0.198612i
\(306\) −6.82836 + 5.65930i −0.390351 + 0.323521i
\(307\) −4.58938 + 1.90098i −0.261930 + 0.108495i −0.509784 0.860303i \(-0.670275\pi\)
0.247854 + 0.968797i \(0.420275\pi\)
\(308\) −3.22426 28.0608i −0.183720 1.59891i
\(309\) −6.42772 + 15.5179i −0.365660 + 0.882782i
\(310\) 2.33443 4.41861i 0.132587 0.250960i
\(311\) 13.8659 + 3.71535i 0.786261 + 0.210678i 0.629543 0.776965i \(-0.283242\pi\)
0.156718 + 0.987643i \(0.449909\pi\)
\(312\) 10.3497 + 6.22979i 0.585939 + 0.352692i
\(313\) −32.3648 + 8.67212i −1.82937 + 0.490177i −0.997863 0.0653425i \(-0.979186\pi\)
−0.831503 + 0.555520i \(0.812519\pi\)
\(314\) 8.92898 + 8.28232i 0.503892 + 0.467398i
\(315\) 2.50283 4.75735i 0.141018 0.268046i
\(316\) 14.0093 + 12.0484i 0.788085 + 0.677778i
\(317\) 17.0255 + 2.24145i 0.956246 + 0.125892i 0.592468 0.805594i \(-0.298153\pi\)
0.363778 + 0.931486i \(0.381487\pi\)
\(318\) −9.33604 6.62210i −0.523539 0.371349i
\(319\) −2.39097 4.14128i −0.133869 0.231867i
\(320\) 10.9491 1.03698i 0.612072 0.0579688i
\(321\) −13.0618 −0.729036
\(322\) 8.58130 + 24.3639i 0.478217 + 1.35775i
\(323\) 5.45888 + 13.1789i 0.303740 + 0.733293i
\(324\) −4.49631 + 1.57489i −0.249795 + 0.0874938i
\(325\) −1.40529 10.6742i −0.0779515 0.592100i
\(326\) −1.08731 + 4.76721i −0.0602204 + 0.264031i
\(327\) 15.3216 4.10541i 0.847285 0.227029i
\(328\) 11.4749 + 20.7395i 0.633595 + 1.14515i
\(329\) −6.01833 + 16.3145i −0.331801 + 0.899448i
\(330\) −12.7946 + 0.480720i −0.704318 + 0.0264628i
\(331\) 2.67205 + 3.48229i 0.146869 + 0.191404i 0.860995 0.508614i \(-0.169842\pi\)
−0.714125 + 0.700018i \(0.753175\pi\)
\(332\) −14.6263 + 3.05650i −0.802721 + 0.167747i
\(333\) 0.438615 + 0.336561i 0.0240360 + 0.0184434i
\(334\) 8.40241 6.96387i 0.459760 0.381046i
\(335\) 20.9550i 1.14490i
\(336\) −8.54147 9.87511i −0.465975 0.538732i
\(337\) 12.5218i 0.682103i 0.940045 + 0.341052i \(0.110783\pi\)
−0.940045 + 0.341052i \(0.889217\pi\)
\(338\) 0.916769 + 1.10615i 0.0498657 + 0.0601666i
\(339\) −0.624157 0.478933i −0.0338996 0.0260121i
\(340\) −6.38778 + 9.76283i −0.346426 + 0.529464i
\(341\) −8.35249 10.8852i −0.452312 0.589465i
\(342\) −0.263807 7.02135i −0.0142651 0.379671i
\(343\) −9.05046 16.1583i −0.488679 0.872464i
\(344\) 14.4831 + 11.5389i 0.780877 + 0.622136i
\(345\) 11.3101 3.03054i 0.608916 0.163159i
\(346\) 20.1579 + 4.59764i 1.08370 + 0.247171i
\(347\) 0.488622 + 3.71145i 0.0262306 + 0.199241i 0.999543 0.0302450i \(-0.00962875\pi\)
−0.973312 + 0.229486i \(0.926295\pi\)
\(348\) −1.99186 0.958472i −0.106775 0.0513795i
\(349\) 1.85153 + 4.46998i 0.0991100 + 0.239273i 0.965656 0.259825i \(-0.0836649\pi\)
−0.866546 + 0.499098i \(0.833665\pi\)
\(350\) −2.13999 + 11.4382i −0.114387 + 0.611399i
\(351\) 19.1249 1.02081
\(352\) 9.95096 28.5089i 0.530388 1.51953i
\(353\) −2.43897 4.22441i −0.129813 0.224843i 0.793791 0.608191i \(-0.208104\pi\)
−0.923604 + 0.383348i \(0.874771\pi\)
\(354\) −10.7357 + 15.1356i −0.570598 + 0.804445i
\(355\) −5.76846 0.759432i −0.306158 0.0403065i
\(356\) −36.2791 + 2.73003i −1.92279 + 0.144691i
\(357\) 13.8399 0.544077i 0.732485 0.0287956i
\(358\) 3.98182 4.29271i 0.210445 0.226877i
\(359\) 23.7592 6.36625i 1.25396 0.335998i 0.430095 0.902784i \(-0.358480\pi\)
0.823865 + 0.566786i \(0.191813\pi\)
\(360\) 4.62220 3.41465i 0.243611 0.179968i
\(361\) 7.43634 + 1.99256i 0.391386 + 0.104872i
\(362\) −20.9506 11.0685i −1.10114 0.581750i
\(363\) −8.25897 + 19.9389i −0.433484 + 1.04652i
\(364\) 6.72990 + 17.0371i 0.352743 + 0.892988i
\(365\) 9.97410 4.13141i 0.522068 0.216248i
\(366\) 5.61819 + 6.77876i 0.293668 + 0.354332i
\(367\) 29.0429 16.7679i 1.51603 0.875278i 0.516203 0.856466i \(-0.327345\pi\)
0.999823 0.0188114i \(-0.00598822\pi\)
\(368\) −3.07486 + 27.4427i −0.160288 + 1.43055i
\(369\) 10.7257 + 6.19247i 0.558356 + 0.322367i
\(370\) 0.681911 + 0.252900i 0.0354509 + 0.0131477i
\(371\) −5.14741 16.5761i −0.267240 0.860586i
\(372\) −6.02517 1.98057i −0.312390 0.102688i
\(373\) −5.06276 6.59792i −0.262140 0.341627i 0.643677 0.765298i \(-0.277408\pi\)
−0.905816 + 0.423670i \(0.860742\pi\)
\(374\) 17.0462 + 27.1196i 0.881439 + 1.40232i
\(375\) 13.2866 + 3.56014i 0.686117 + 0.183845i
\(376\) −13.3825 + 12.9031i −0.690150 + 0.665426i
\(377\) 2.19292 + 2.19292i 0.112941 + 0.112941i
\(378\) −19.6484 6.42094i −1.01060 0.330258i
\(379\) 4.00023 + 1.65695i 0.205478 + 0.0851117i 0.483049 0.875593i \(-0.339529\pi\)
−0.277571 + 0.960705i \(0.589529\pi\)
\(380\) −3.05553 8.72355i −0.156745 0.447509i
\(381\) 0.372395 0.485314i 0.0190784 0.0248634i
\(382\) 5.31434 + 3.76949i 0.271905 + 0.192864i
\(383\) 6.27184 10.8631i 0.320476 0.555080i −0.660110 0.751169i \(-0.729491\pi\)
0.980586 + 0.196088i \(0.0628239\pi\)
\(384\) −3.62720 13.4786i −0.185100 0.687824i
\(385\) −15.8556 11.2051i −0.808078 0.571066i
\(386\) 5.79384 2.65896i 0.294899 0.135337i
\(387\) 9.59309 + 1.26295i 0.487644 + 0.0641996i
\(388\) −21.0675 3.97944i −1.06954 0.202025i
\(389\) 0.531504 + 4.03718i 0.0269483 + 0.204693i 0.999622 0.0274824i \(-0.00874901\pi\)
−0.972674 + 0.232175i \(0.925416\pi\)
\(390\) 7.93430 2.44875i 0.401769 0.123997i
\(391\) −20.7138 20.7138i −1.04754 1.04754i
\(392\) −1.19410 19.7629i −0.0603112 0.998180i
\(393\) 7.46880 7.46880i 0.376751 0.376751i
\(394\) −9.78686 + 18.5246i −0.493055 + 0.933255i
\(395\) 12.5925 1.65784i 0.633599 0.0834149i
\(396\) −3.22742 15.4442i −0.162184 0.776099i
\(397\) 4.33930 32.9602i 0.217783 1.65423i −0.437777 0.899083i \(-0.644234\pi\)
0.655560 0.755143i \(-0.272432\pi\)
\(398\) 23.7790 + 8.81889i 1.19193 + 0.442051i
\(399\) −6.33295 + 8.96134i −0.317044 + 0.448628i
\(400\) −7.38101 + 10.0139i −0.369051 + 0.500694i
\(401\) −30.0264 17.3358i −1.49945 0.865706i −0.499447 0.866344i \(-0.666463\pi\)
−1.00000 0.000638279i \(0.999797\pi\)
\(402\) 26.2184 4.45885i 1.30765 0.222387i
\(403\) 7.05942 + 5.41688i 0.351655 + 0.269834i
\(404\) 0.694681 12.4386i 0.0345617 0.618845i
\(405\) −1.25320 + 3.02550i −0.0622722 + 0.150338i
\(406\) −1.51670 2.98919i −0.0752724 0.148351i
\(407\) 1.41197 1.41197i 0.0699886 0.0699886i
\(408\) 13.5742 + 5.91487i 0.672023 + 0.292830i
\(409\) −0.487584 + 1.81969i −0.0241095 + 0.0899777i −0.976932 0.213549i \(-0.931498\pi\)
0.952823 + 0.303527i \(0.0981643\pi\)
\(410\) 15.8846 + 3.62297i 0.784485 + 0.178926i
\(411\) −1.36832 + 1.04995i −0.0674944 + 0.0517903i
\(412\) −27.1519 + 2.04320i −1.33768 + 0.100661i
\(413\) −26.8731 + 8.34496i −1.32234 + 0.410628i
\(414\) 6.01838 + 13.1140i 0.295787 + 0.644517i
\(415\) −5.13549 + 8.89494i −0.252091 + 0.436635i
\(416\) −1.44834 + 19.5293i −0.0710107 + 0.957503i
\(417\) −4.12812 7.15011i −0.202155 0.350142i
\(418\) −25.2671 2.36543i −1.23585 0.115697i
\(419\) 7.16473 + 17.2972i 0.350020 + 0.845023i 0.996617 + 0.0821907i \(0.0261917\pi\)
−0.646597 + 0.762832i \(0.723808\pi\)
\(420\) −8.97362 0.148066i −0.437868 0.00722490i
\(421\) −14.1217 5.84942i −0.688252 0.285083i 0.0110199 0.999939i \(-0.496492\pi\)
−0.699272 + 0.714856i \(0.746492\pi\)
\(422\) −1.27163 4.12028i −0.0619022 0.200572i
\(423\) −2.51405 + 9.38255i −0.122237 + 0.456195i
\(424\) 2.75701 18.3493i 0.133892 0.891122i
\(425\) −3.41555 12.7470i −0.165678 0.618320i
\(426\) 0.277243 + 7.37894i 0.0134325 + 0.357511i
\(427\) 0.524446 + 13.3405i 0.0253797 + 0.645593i
\(428\) −9.54819 18.8994i −0.461529 0.913537i
\(429\) 2.97571 22.6028i 0.143669 1.09127i
\(430\) 12.5486 2.13408i 0.605145 0.102914i
\(431\) 24.3945 14.0842i 1.17504 0.678410i 0.220179 0.975459i \(-0.429336\pi\)
0.954862 + 0.297049i \(0.0960025\pi\)
\(432\) −15.9247 15.3210i −0.766176 0.737131i
\(433\) 21.6031i 1.03818i 0.854719 + 0.519090i \(0.173729\pi\)
−0.854719 + 0.519090i \(0.826271\pi\)
\(434\) −5.43399 7.93526i −0.260840 0.380905i
\(435\) −1.40377 + 0.581462i −0.0673058 + 0.0278790i
\(436\) 17.1403 + 19.1681i 0.820874 + 0.917986i
\(437\) 23.0096 3.02927i 1.10070 0.144910i
\(438\) −7.29141 11.6002i −0.348397 0.554281i
\(439\) −2.83675 10.5869i −0.135391 0.505285i −0.999996 0.00283328i \(-0.999098\pi\)
0.864605 0.502452i \(-0.167569\pi\)
\(440\) −10.0484 18.1614i −0.479041 0.865810i
\(441\) −5.86004 8.52561i −0.279050 0.405982i
\(442\) −15.2305 14.1274i −0.724440 0.671974i
\(443\) 25.6982 19.7189i 1.22096 0.936873i 0.221689 0.975118i \(-0.428843\pi\)
0.999268 + 0.0382443i \(0.0121765\pi\)
\(444\) 0.171324 0.907002i 0.00813066 0.0430444i
\(445\) −15.2239 + 19.8402i −0.721684 + 0.940517i
\(446\) −2.72663 + 29.1253i −0.129110 + 1.37912i
\(447\) −3.27791 −0.155040
\(448\) 8.04471 19.5776i 0.380077 0.924955i
\(449\) 23.4677 1.10751 0.553756 0.832679i \(-0.313194\pi\)
0.553756 + 0.832679i \(0.313194\pi\)
\(450\) −0.605882 + 6.47191i −0.0285616 + 0.305089i
\(451\) 27.2310 35.4881i 1.28226 1.67107i
\(452\) 0.236719 1.25321i 0.0111343 0.0589461i
\(453\) −7.98261 + 6.12527i −0.375056 + 0.287790i
\(454\) −2.66742 2.47423i −0.125188 0.116122i
\(455\) 11.8134 + 4.35789i 0.553819 + 0.204301i
\(456\) −10.2645 + 5.67921i −0.480680 + 0.265953i
\(457\) 9.95643 + 37.1579i 0.465742 + 1.73817i 0.654417 + 0.756134i \(0.272914\pi\)
−0.188675 + 0.982040i \(0.560419\pi\)
\(458\) −5.32264 8.46802i −0.248710 0.395685i
\(459\) 23.2414 3.05979i 1.08482 0.142819i
\(460\) 12.6527 + 14.1496i 0.589935 + 0.659727i
\(461\) −31.3546 + 12.9875i −1.46033 + 0.604888i −0.964630 0.263606i \(-0.915088\pi\)
−0.495699 + 0.868494i \(0.665088\pi\)
\(462\) −10.6458 + 22.2224i −0.495286 + 1.03388i
\(463\) 42.8472i 1.99128i −0.0932871 0.995639i \(-0.529737\pi\)
0.0932871 0.995639i \(-0.470263\pi\)
\(464\) −0.0692209 3.58272i −0.00321350 0.166324i
\(465\) −3.77552 + 2.17980i −0.175086 + 0.101086i
\(466\) −21.0364 + 3.57758i −0.974493 + 0.165728i
\(467\) −1.61010 + 12.2299i −0.0745065 + 0.565933i 0.912954 + 0.408064i \(0.133796\pi\)
−0.987460 + 0.157869i \(0.949538\pi\)
\(468\) 4.61413 + 9.13307i 0.213288 + 0.422176i
\(469\) 35.6905 + 18.7767i 1.64803 + 0.867026i
\(470\) 0.479769 + 12.7693i 0.0221301 + 0.589002i
\(471\) −2.74984 10.2625i −0.126706 0.472872i
\(472\) −29.7479 4.46966i −1.36926 0.205733i
\(473\) 9.04500 33.7564i 0.415890 1.55212i
\(474\) −4.75371 15.4027i −0.218345 0.707469i
\(475\) 9.65930 + 4.00101i 0.443199 + 0.183579i
\(476\) 10.9043 + 19.6276i 0.499796 + 0.899629i
\(477\) −3.71030 8.95747i −0.169883 0.410134i
\(478\) −30.4871 2.85411i −1.39445 0.130544i
\(479\) −10.2610 17.7726i −0.468838 0.812051i 0.530528 0.847668i \(-0.321994\pi\)
−0.999366 + 0.0356166i \(0.988660\pi\)
\(480\) −8.56834 4.31719i −0.391089 0.197052i
\(481\) −0.647505 + 1.12151i −0.0295237 + 0.0511365i
\(482\) −11.3169 24.6594i −0.515470 1.12321i
\(483\) 4.97279 21.9788i 0.226270 1.00007i
\(484\) −34.8875 + 2.62530i −1.58579 + 0.119332i
\(485\) −11.6920 + 8.97159i −0.530907 + 0.407379i
\(486\) −18.7997 4.28785i −0.852771 0.194501i
\(487\) −6.91880 + 25.8213i −0.313521 + 1.17007i 0.611838 + 0.790983i \(0.290430\pi\)
−0.925359 + 0.379092i \(0.876236\pi\)
\(488\) −5.70145 + 13.0844i −0.258092 + 0.592303i
\(489\) 3.01625 3.01625i 0.136399 0.136399i
\(490\) −10.6736 8.44337i −0.482185 0.381432i
\(491\) 4.27842 10.3290i 0.193082 0.466142i −0.797456 0.603377i \(-0.793821\pi\)
0.990539 + 0.137235i \(0.0438215\pi\)
\(492\) 1.15301 20.6453i 0.0519818 0.930762i
\(493\) 3.01578 + 2.31409i 0.135824 + 0.104221i
\(494\) 16.2253 2.75936i 0.730009 0.124150i
\(495\) −9.39235 5.42267i −0.422155 0.243731i
\(496\) −1.53867 10.1658i −0.0690885 0.456457i
\(497\) −6.46227 + 9.14433i −0.289872 + 0.410179i
\(498\) 12.2218 + 4.53271i 0.547674 + 0.203116i
\(499\) −3.38493 + 25.7111i −0.151530 + 1.15099i 0.731558 + 0.681780i \(0.238794\pi\)
−0.883088 + 0.469208i \(0.844540\pi\)
\(500\) 4.56130 + 21.8272i 0.203988 + 0.976142i
\(501\) −9.43893 + 1.24266i −0.421700 + 0.0555179i
\(502\) −10.1580 + 19.2271i −0.453374 + 0.858147i
\(503\) 21.6046 21.6046i 0.963300 0.963300i −0.0360503 0.999350i \(-0.511478\pi\)
0.999350 + 0.0360503i \(0.0114776\pi\)
\(504\) −1.67411 10.9322i −0.0745709 0.486959i
\(505\) −6.05524 6.05524i −0.269454 0.269454i
\(506\) 49.7970 15.3688i 2.21375 0.683226i
\(507\) −0.163592 1.24260i −0.00726537 0.0551859i
\(508\) 0.974435 + 0.184061i 0.0432336 + 0.00816639i
\(509\) 36.5049 + 4.80596i 1.61805 + 0.213021i 0.884475 0.466587i \(-0.154517\pi\)
0.733576 + 0.679607i \(0.237850\pi\)
\(510\) 9.25035 4.24525i 0.409613 0.187983i
\(511\) 1.90066 20.6898i 0.0840803 0.915262i
\(512\) 16.8510 15.1012i 0.744714 0.667383i
\(513\) −9.28604 + 16.0839i −0.409989 + 0.710121i
\(514\) 13.5879 + 9.63799i 0.599338 + 0.425114i
\(515\) −11.3939 + 14.8488i −0.502073 + 0.654315i
\(516\) −5.34021 15.2463i −0.235090 0.671182i
\(517\) 32.4127 + 13.4258i 1.42551 + 0.590465i
\(518\) 1.04176 0.934818i 0.0457724 0.0410735i
\(519\) −12.7541 12.7541i −0.559842 0.559842i
\(520\) 9.34316 + 9.69030i 0.409725 + 0.424948i
\(521\) −36.3412 9.73760i −1.59214 0.426612i −0.649481 0.760378i \(-0.725014\pi\)
−0.942656 + 0.333766i \(0.891681\pi\)
\(522\) −0.996417 1.58524i −0.0436120 0.0693842i
\(523\) −7.76009 10.1131i −0.339325 0.442217i 0.592257 0.805749i \(-0.298237\pi\)
−0.931581 + 0.363533i \(0.881571\pi\)
\(524\) 16.2665 + 5.34708i 0.710607 + 0.233588i
\(525\) 6.89076 7.45471i 0.300737 0.325350i
\(526\) −23.2271 8.61421i −1.01275 0.375598i
\(527\) 9.44558 + 5.45341i 0.411456 + 0.237554i
\(528\) −20.5849 + 16.4368i −0.895843 + 0.715318i
\(529\) −21.3560 + 12.3299i −0.928521 + 0.536082i
\(530\) −8.13892 9.82020i −0.353532 0.426562i
\(531\) −14.5218 + 6.01513i −0.630193 + 0.261035i
\(532\) −17.5958 2.61254i −0.762875 0.113268i
\(533\) −11.1017 + 26.8019i −0.480868 + 1.16092i
\(534\) 28.0629 + 14.8262i 1.21440 + 0.641590i
\(535\) −14.0589 3.76707i −0.607820 0.162865i
\(536\) 25.6173 + 34.6766i 1.10650 + 1.49780i
\(537\) −4.93382 + 1.32201i −0.212910 + 0.0570491i
\(538\) 19.2287 20.7300i 0.829008 0.893735i
\(539\) −33.2919 + 16.9649i −1.43398 + 0.730731i
\(540\) −15.1470 + 1.13982i −0.651823 + 0.0490500i
\(541\) −35.4268 4.66403i −1.52312 0.200522i −0.677984 0.735077i \(-0.737146\pi\)
−0.845134 + 0.534554i \(0.820480\pi\)
\(542\) −8.41439 + 11.8629i −0.361429 + 0.509554i
\(543\) 10.3354 + 17.9014i 0.443534 + 0.768223i
\(544\) 1.36441 + 23.9646i 0.0584986 + 1.02748i
\(545\) 17.6753 0.757125
\(546\) 2.93880 15.7079i 0.125769 0.672234i
\(547\) 14.0554 + 33.9327i 0.600964 + 1.45086i 0.872590 + 0.488453i \(0.162439\pi\)
−0.271626 + 0.962403i \(0.587561\pi\)
\(548\) −2.51945 1.21234i −0.107626 0.0517888i
\(549\) 0.973428 + 7.39392i 0.0415449 + 0.315565i
\(550\) 22.8896 + 5.22067i 0.976014 + 0.222610i
\(551\) −2.90900 + 0.779463i −0.123927 + 0.0332062i
\(552\) 15.0113 18.8415i 0.638923 0.801947i
\(553\) 8.45987 22.9330i 0.359750 0.975212i
\(554\) 0.935310 + 24.8937i 0.0397375 + 1.05763i
\(555\) −0.386247 0.503367i −0.0163953 0.0213667i
\(556\) 7.32801 11.1998i 0.310777 0.474979i
\(557\) −24.7502 18.9915i −1.04870 0.804694i −0.0675042 0.997719i \(-0.521504\pi\)
−0.981194 + 0.193025i \(0.938170\pi\)
\(558\) −3.42817 4.13634i −0.145126 0.175105i
\(559\) 22.6645i 0.958606i
\(560\) −6.34550 13.0924i −0.268146 0.553255i
\(561\) 27.9440i 1.17980i
\(562\) −7.15690 + 5.93159i −0.301895 + 0.250209i
\(563\) −27.2704 20.9253i −1.14931 0.881897i −0.154947 0.987923i \(-0.549521\pi\)
−0.994363 + 0.106026i \(0.966187\pi\)
\(564\) 15.8745 3.31734i 0.668436 0.139685i
\(565\) −0.533680 0.695505i −0.0224521 0.0292601i
\(566\) −1.38784 + 0.0521443i −0.0583355 + 0.00219179i
\(567\) 4.03009 + 4.84544i 0.169248 + 0.203489i
\(568\) −10.4741 + 5.79518i −0.439484 + 0.243160i
\(569\) −29.5829 + 7.92671i −1.24018 + 0.332305i −0.818535 0.574456i \(-0.805213\pi\)
−0.421644 + 0.906761i \(0.638547\pi\)
\(570\) −1.79310 + 7.86168i −0.0751046 + 0.329289i
\(571\) −3.92618 29.8223i −0.164305 1.24802i −0.852589 0.522582i \(-0.824969\pi\)
0.688284 0.725442i \(-0.258365\pi\)
\(572\) 34.8798 12.2171i 1.45840 0.510821i
\(573\) −2.17516 5.25130i −0.0908685 0.219376i
\(574\) 20.4040 23.8082i 0.851645 0.993736i
\(575\) −21.4704 −0.895380
\(576\) 3.47448 11.3012i 0.144770 0.470884i
\(577\) −10.6131 18.3824i −0.441829 0.765270i 0.555996 0.831185i \(-0.312337\pi\)
−0.997825 + 0.0659145i \(0.979004\pi\)
\(578\) −1.15948 0.822426i −0.0482280 0.0342084i
\(579\) −5.51371 0.725894i −0.229142 0.0301671i
\(580\) −1.86750 1.60611i −0.0775436 0.0666899i
\(581\) 10.5482 + 16.7170i 0.437612 + 0.693539i
\(582\) 13.7129 + 12.7197i 0.568416 + 0.527250i
\(583\) −33.8249 + 9.06335i −1.40088 + 0.375366i
\(584\) 11.4546 19.0299i 0.473996 0.787465i
\(585\) 6.79392 + 1.82043i 0.280894 + 0.0752654i
\(586\) 17.3565 32.8524i 0.716990 1.35712i
\(587\) 3.24110 7.82470i 0.133774 0.322960i −0.842771 0.538273i \(-0.819077\pi\)
0.976545 + 0.215313i \(0.0690770\pi\)
\(588\) −8.29296 + 15.1511i −0.341996 + 0.624823i
\(589\) −7.98324 + 3.30677i −0.328944 + 0.136253i
\(590\) −15.9205 + 13.1948i −0.655436 + 0.543221i
\(591\) 15.8285 9.13860i 0.651098 0.375912i
\(592\) 1.43760 0.415129i 0.0590851 0.0170617i
\(593\) 32.5092 + 18.7692i 1.33499 + 0.770759i 0.986060 0.166388i \(-0.0532105\pi\)
0.348934 + 0.937147i \(0.386544\pi\)
\(594\) −14.5016 + 39.1017i −0.595010 + 1.60436i
\(595\) 15.0534 + 3.40588i 0.617128 + 0.139628i
\(596\) −2.39616 4.74289i −0.0981506 0.194276i
\(597\) −13.4688 17.5529i −0.551242 0.718393i
\(598\) −28.6150 + 17.9862i −1.17015 + 0.735509i
\(599\) −20.3749 5.45944i −0.832496 0.223067i −0.182694 0.983170i \(-0.558482\pi\)
−0.649802 + 0.760103i \(0.725148\pi\)
\(600\) 10.1005 3.96956i 0.412351 0.162057i
\(601\) 15.6077 + 15.6077i 0.636650 + 0.636650i 0.949728 0.313078i \(-0.101360\pi\)
−0.313078 + 0.949728i \(0.601360\pi\)
\(602\) 7.60933 23.2849i 0.310133 0.949020i
\(603\) 20.8125 + 8.62081i 0.847549 + 0.351066i
\(604\) −14.6981 7.07265i −0.598058 0.287782i
\(605\) −14.6400 + 19.0792i −0.595199 + 0.775678i
\(606\) −6.28770 + 8.86459i −0.255421 + 0.360099i
\(607\) −2.47414 + 4.28534i −0.100422 + 0.173937i −0.911859 0.410504i \(-0.865353\pi\)
0.811436 + 0.584441i \(0.198686\pi\)
\(608\) −15.7208 10.7005i −0.637562 0.433961i
\(609\) −0.267503 + 2.91192i −0.0108398 + 0.117997i
\(610\) 4.09207 + 8.91658i 0.165683 + 0.361022i
\(611\) −22.5581 2.96982i −0.912601 0.120146i
\(612\) 7.06851 + 10.3607i 0.285728 + 0.418807i
\(613\) 2.04084 + 15.5018i 0.0824289 + 0.626110i 0.981937 + 0.189206i \(0.0605915\pi\)
−0.899508 + 0.436903i \(0.856075\pi\)
\(614\) 2.07173 + 6.71269i 0.0836081 + 0.270902i
\(615\) −10.0503 10.0503i −0.405267 0.405267i
\(616\) −39.9362 + 0.841014i −1.60908 + 0.0338854i
\(617\) 5.36374 5.36374i 0.215936 0.215936i −0.590847 0.806783i \(-0.701206\pi\)
0.806783 + 0.590847i \(0.201206\pi\)
\(618\) 21.0028 + 11.0961i 0.844856 + 0.446352i
\(619\) 8.08716 1.06469i 0.325050 0.0427937i 0.0337646 0.999430i \(-0.489250\pi\)
0.291286 + 0.956636i \(0.405917\pi\)
\(620\) −5.91393 3.86946i −0.237509 0.155401i
\(621\) 4.97816 37.8129i 0.199767 1.51738i
\(622\) 7.05920 19.0342i 0.283048 0.763201i
\(623\) 20.1504 + 43.7071i 0.807310 + 1.75109i
\(624\) 10.1362 13.7518i 0.405772 0.550514i
\(625\) −0.192681 0.111245i −0.00770725 0.00444978i
\(626\) 7.94456 + 46.7146i 0.317529 + 1.86709i
\(627\) 17.5639 + 13.4773i 0.701436 + 0.538231i
\(628\) 12.8390 11.4808i 0.512331 0.458132i
\(629\) −0.607447 + 1.46651i −0.0242205 + 0.0584735i
\(630\) −6.36870 4.15123i −0.253735 0.165389i
\(631\) −3.80696 + 3.80696i −0.151553 + 0.151553i −0.778811 0.627258i \(-0.784177\pi\)
0.627258 + 0.778811i \(0.284177\pi\)
\(632\) 18.8116 18.1377i 0.748284 0.721478i
\(633\) −0.973610 + 3.63356i −0.0386975 + 0.144421i
\(634\) 5.40036 23.6774i 0.214476 0.940349i
\(635\) 0.540791 0.414963i 0.0214606 0.0164673i
\(636\) −10.5550 + 12.2728i −0.418531 + 0.486646i
\(637\) 18.0077 16.2156i 0.713489 0.642486i
\(638\) −6.14633 + 2.82072i −0.243335 + 0.111673i
\(639\) −3.12739 + 5.41679i −0.123717 + 0.214285i
\(640\) −0.0168317 15.5536i −0.000665331 0.614811i
\(641\) 1.92354 + 3.33166i 0.0759751 + 0.131593i 0.901510 0.432758i \(-0.142460\pi\)
−0.825535 + 0.564351i \(0.809126\pi\)
\(642\) −1.72178 + 18.3917i −0.0679533 + 0.725863i
\(643\) −9.01366 21.7609i −0.355464 0.858167i −0.995926 0.0901764i \(-0.971257\pi\)
0.640462 0.767990i \(-0.278743\pi\)
\(644\) 35.4369 8.87135i 1.39641 0.349580i
\(645\) −10.2590 4.24943i −0.403949 0.167321i
\(646\) 19.2762 5.94919i 0.758412 0.234068i
\(647\) −4.98925 + 18.6201i −0.196148 + 0.732033i 0.795819 + 0.605535i \(0.207041\pi\)
−0.991967 + 0.126499i \(0.959626\pi\)
\(648\) 1.62483 + 6.53866i 0.0638295 + 0.256863i
\(649\) 14.6935 + 54.8368i 0.576769 + 2.15253i
\(650\) −15.2152 + 0.571667i −0.596788 + 0.0224226i
\(651\) 0.329580 + 8.38366i 0.0129173 + 0.328581i
\(652\) 6.56917 + 2.15940i 0.257268 + 0.0845685i
\(653\) −2.26992 + 17.2417i −0.0888287 + 0.674721i 0.887868 + 0.460098i \(0.152186\pi\)
−0.976697 + 0.214623i \(0.931148\pi\)
\(654\) −3.76098 22.1148i −0.147066 0.864758i
\(655\) 10.1930 5.88494i 0.398274 0.229944i
\(656\) 30.7151 13.4235i 1.19922 0.524098i
\(657\) 11.6059i 0.452789i
\(658\) 22.1784 + 10.6247i 0.864605 + 0.414194i
\(659\) 0.195635 0.0810345i 0.00762084 0.00315666i −0.378870 0.925450i \(-0.623687\pi\)
0.386491 + 0.922293i \(0.373687\pi\)
\(660\) −1.00968 + 18.0789i −0.0393017 + 0.703718i
\(661\) 36.2681 4.77479i 1.41067 0.185718i 0.613603 0.789614i \(-0.289719\pi\)
0.797063 + 0.603897i \(0.206386\pi\)
\(662\) 5.25549 3.30337i 0.204260 0.128389i
\(663\) 4.69050 + 17.5052i 0.182164 + 0.679844i
\(664\) 2.37572 + 20.9975i 0.0921956 + 0.814862i
\(665\) −9.40091 + 7.81900i −0.364552 + 0.303208i
\(666\) 0.531715 0.573230i 0.0206035 0.0222122i
\(667\) 4.90656 3.76493i 0.189983 0.145779i
\(668\) −8.69793 12.7490i −0.336533 0.493275i
\(669\) 15.5352 20.2459i 0.600627 0.782752i
\(670\) 29.5059 + 2.76226i 1.13991 + 0.106715i
\(671\) 26.9357 1.03984
\(672\) −15.0306 + 10.7251i −0.579820 + 0.413732i
\(673\) 3.80762 0.146773 0.0733865 0.997304i \(-0.476619\pi\)
0.0733865 + 0.997304i \(0.476619\pi\)
\(674\) 17.6313 + 1.65060i 0.679134 + 0.0635786i
\(675\) 10.4594 13.6310i 0.402584 0.524657i
\(676\) 1.67837 1.14505i 0.0645526 0.0440405i
\(677\) −9.83068 + 7.54335i −0.377824 + 0.289914i −0.780163 0.625576i \(-0.784864\pi\)
0.402339 + 0.915491i \(0.368197\pi\)
\(678\) −0.756640 + 0.815717i −0.0290586 + 0.0313274i
\(679\) 4.80379 + 27.9527i 0.184353 + 1.07273i
\(680\) 12.9046 + 10.2813i 0.494869 + 0.394269i
\(681\) 0.821478 + 3.06580i 0.0314791 + 0.117482i
\(682\) −16.4280 + 10.3259i −0.629059 + 0.395399i
\(683\) −35.8318 + 4.71734i −1.37106 + 0.180504i −0.779828 0.625994i \(-0.784693\pi\)
−0.591236 + 0.806498i \(0.701360\pi\)
\(684\) −9.92123 0.554087i −0.379348 0.0211861i
\(685\) −1.77559 + 0.735475i −0.0678420 + 0.0281011i
\(686\) −23.9448 + 10.6136i −0.914215 + 0.405229i
\(687\) 8.72545i 0.332897i
\(688\) 18.1566 18.8720i 0.692213 0.719488i
\(689\) 19.6678 11.3552i 0.749285 0.432600i
\(690\) −2.77629 16.3248i −0.105691 0.621473i
\(691\) −3.52150 + 26.7485i −0.133964 + 1.01756i 0.783962 + 0.620809i \(0.213196\pi\)
−0.917926 + 0.396751i \(0.870138\pi\)
\(692\) 9.13092 27.7775i 0.347106 1.05594i
\(693\) −17.6518 + 11.1380i −0.670538 + 0.423099i
\(694\) 5.29034 0.198770i 0.200819 0.00754520i
\(695\) −2.38114 8.88653i −0.0903217 0.337085i
\(696\) −1.61215 + 2.67831i −0.0611083 + 0.101521i
\(697\) −9.20326 + 34.3470i −0.348598 + 1.30099i
\(698\) 6.53805 2.01783i 0.247469 0.0763760i
\(699\) 17.1982 + 7.12374i 0.650497 + 0.269445i
\(700\) 15.8236 + 4.52099i 0.598075 + 0.170878i
\(701\) −6.78327 16.3763i −0.256201 0.618523i 0.742480 0.669868i \(-0.233649\pi\)
−0.998681 + 0.0513449i \(0.983649\pi\)
\(702\) 2.52101 26.9289i 0.0951494 1.01637i
\(703\) −0.628789 1.08909i −0.0237152 0.0410760i
\(704\) −38.8304 17.7695i −1.46348 0.669714i
\(705\) 5.57375 9.65402i 0.209920 0.363591i
\(706\) −6.26971 + 2.87735i −0.235964 + 0.108290i
\(707\) −15.7390 + 4.88748i −0.591927 + 0.183812i
\(708\) 19.8965 + 17.1117i 0.747758 + 0.643096i
\(709\) −18.2380 + 13.9945i −0.684944 + 0.525576i −0.891592 0.452839i \(-0.850411\pi\)
0.206648 + 0.978415i \(0.433744\pi\)
\(710\) −1.82971 + 8.02222i −0.0686679 + 0.301068i
\(711\) 3.53396 13.1889i 0.132534 0.494622i
\(712\) −0.938227 + 51.4430i −0.0351615 + 1.92791i
\(713\) 12.5476 12.5476i 0.469911 0.469911i
\(714\) 1.05826 19.5591i 0.0396045 0.731981i
\(715\) 9.72163 23.4701i 0.363568 0.877732i
\(716\) −5.51950 6.17248i −0.206273 0.230676i
\(717\) 21.1925 + 16.2616i 0.791449 + 0.607300i
\(718\) −5.83214 34.2934i −0.217654 1.27982i
\(719\) 20.0090 + 11.5522i 0.746209 + 0.430824i 0.824322 0.566121i \(-0.191556\pi\)
−0.0781138 + 0.996944i \(0.524890\pi\)
\(720\) −4.19873 6.95844i −0.156478 0.259326i
\(721\) 15.0809 + 32.7111i 0.561643 + 1.21823i
\(722\) 3.78589 10.2081i 0.140896 0.379907i
\(723\) −3.08950 + 23.4671i −0.114900 + 0.872752i
\(724\) −18.3468 + 28.0405i −0.681854 + 1.04212i
\(725\) 2.76228 0.363661i 0.102589 0.0135060i
\(726\) 26.9865 + 14.2574i 1.00156 + 0.529142i
\(727\) 9.34423 9.34423i 0.346558 0.346558i −0.512268 0.858826i \(-0.671194\pi\)
0.858826 + 0.512268i \(0.171194\pi\)
\(728\) 24.8764 7.23027i 0.921980 0.267972i
\(729\) 16.9478 + 16.9478i 0.627698 + 0.627698i
\(730\) −4.50249 14.5887i −0.166645 0.539952i
\(731\) 3.62610 + 27.5429i 0.134116 + 1.01871i
\(732\) 10.2855 7.01717i 0.380162 0.259362i
\(733\) −33.4129 4.39889i −1.23413 0.162477i −0.514902 0.857249i \(-0.672172\pi\)
−0.719230 + 0.694772i \(0.755505\pi\)
\(734\) −19.7818 43.1043i −0.730159 1.59101i
\(735\) 3.96365 + 11.1914i 0.146201 + 0.412802i
\(736\) 38.2355 + 7.94704i 1.40938 + 0.292932i
\(737\) 40.6819 70.4630i 1.49854 2.59554i
\(738\) 10.1332 14.2861i 0.373008 0.525877i
\(739\) −6.90710 + 9.00151i −0.254082 + 0.331126i −0.902926 0.429795i \(-0.858586\pi\)
0.648845 + 0.760921i \(0.275252\pi\)
\(740\) 0.445986 0.926833i 0.0163948 0.0340711i
\(741\) −13.2649 5.49450i −0.487298 0.201846i
\(742\) −24.0186 + 5.06281i −0.881749 + 0.185862i
\(743\) −2.91737 2.91737i −0.107028 0.107028i 0.651565 0.758593i \(-0.274113\pi\)
−0.758593 + 0.651565i \(0.774113\pi\)
\(744\) −3.58299 + 8.22270i −0.131359 + 0.301459i
\(745\) −3.52815 0.945364i −0.129261 0.0346355i
\(746\) −9.95761 + 6.25893i −0.364574 + 0.229156i
\(747\) 6.72170 + 8.75989i 0.245934 + 0.320508i
\(748\) 40.4329 20.4272i 1.47837 0.746892i
\(749\) −19.0135 + 20.5696i −0.694738 + 0.751597i
\(750\) 6.76429 18.2390i 0.246997 0.665994i
\(751\) −35.0511 20.2367i −1.27903 0.738449i −0.302361 0.953193i \(-0.597775\pi\)
−0.976670 + 0.214744i \(0.931108\pi\)
\(752\) 16.4042 + 20.5442i 0.598201 + 0.749169i
\(753\) 16.4288 9.48516i 0.598698 0.345658i
\(754\) 3.37682 2.79869i 0.122977 0.101922i
\(755\) −10.3586 + 4.29066i −0.376987 + 0.156153i
\(756\) −11.6311 + 26.8196i −0.423018 + 0.975420i
\(757\) 0.293739 0.709148i 0.0106761 0.0257744i −0.918452 0.395533i \(-0.870560\pi\)
0.929128 + 0.369759i \(0.120560\pi\)
\(758\) 2.86038 5.41413i 0.103894 0.196650i
\(759\) −43.9147 11.7669i −1.59400 0.427112i
\(760\) −12.6860 + 3.15243i −0.460170 + 0.114351i
\(761\) −19.1882 + 5.14147i −0.695573 + 0.186378i −0.589247 0.807953i \(-0.700575\pi\)
−0.106326 + 0.994331i \(0.533909\pi\)
\(762\) −0.634261 0.588326i −0.0229769 0.0213128i
\(763\) 15.8379 30.1044i 0.573369 1.08985i
\(764\) 6.00819 6.98601i 0.217369 0.252745i
\(765\) 8.54754 + 1.12531i 0.309037 + 0.0406855i
\(766\) −14.4692 10.2631i −0.522792 0.370820i
\(767\) −18.4091 31.8854i −0.664713 1.15132i
\(768\) −19.4567 + 3.33059i −0.702083 + 0.120182i
\(769\) −23.5369 −0.848762 −0.424381 0.905484i \(-0.639508\pi\)
−0.424381 + 0.905484i \(0.639508\pi\)
\(770\) −17.8675 + 20.8486i −0.643901 + 0.751331i
\(771\) −5.56153 13.4267i −0.200294 0.483552i
\(772\) −2.98023 8.50856i −0.107261 0.306230i