Properties

Label 546.2.bi.f.257.1
Level $546$
Weight $2$
Character 546.257
Analytic conductor $4.360$
Analytic rank $0$
Dimension $34$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bi (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(34\)
Relative dimension: \(17\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 257.1
Character \(\chi\) \(=\) 546.257
Dual form 546.2.bi.f.17.1

$q$-expansion

\(f(q)\) \(=\) \(q+1.00000 q^{2} +(-1.72563 + 0.148954i) q^{3} +1.00000 q^{4} +(3.72094 + 2.14828i) q^{5} +(-1.72563 + 0.148954i) q^{6} +(1.54641 - 2.14677i) q^{7} +1.00000 q^{8} +(2.95563 - 0.514080i) q^{9} +O(q^{10})\) \(q+1.00000 q^{2} +(-1.72563 + 0.148954i) q^{3} +1.00000 q^{4} +(3.72094 + 2.14828i) q^{5} +(-1.72563 + 0.148954i) q^{6} +(1.54641 - 2.14677i) q^{7} +1.00000 q^{8} +(2.95563 - 0.514080i) q^{9} +(3.72094 + 2.14828i) q^{10} +(-2.26010 + 3.91461i) q^{11} +(-1.72563 + 0.148954i) q^{12} +(-2.01824 - 2.98776i) q^{13} +(1.54641 - 2.14677i) q^{14} +(-6.74097 - 3.15290i) q^{15} +1.00000 q^{16} +0.192561 q^{17} +(2.95563 - 0.514080i) q^{18} +(-0.845613 - 1.46464i) q^{19} +(3.72094 + 2.14828i) q^{20} +(-2.34878 + 3.93488i) q^{21} +(-2.26010 + 3.91461i) q^{22} +1.40960i q^{23} +(-1.72563 + 0.148954i) q^{24} +(6.73025 + 11.6571i) q^{25} +(-2.01824 - 2.98776i) q^{26} +(-5.02375 + 1.32737i) q^{27} +(1.54641 - 2.14677i) q^{28} +(8.66432 - 5.00235i) q^{29} +(-6.74097 - 3.15290i) q^{30} +(1.16127 + 2.01138i) q^{31} +1.00000 q^{32} +(3.31701 - 7.09183i) q^{33} +0.192561 q^{34} +(10.3660 - 4.66584i) q^{35} +(2.95563 - 0.514080i) q^{36} +5.70199i q^{37} +(-0.845613 - 1.46464i) q^{38} +(3.92779 + 4.85515i) q^{39} +(3.72094 + 2.14828i) q^{40} +(-1.24309 + 0.717699i) q^{41} +(-2.34878 + 3.93488i) q^{42} +(1.73181 - 2.99958i) q^{43} +(-2.26010 + 3.91461i) q^{44} +(12.1021 + 4.43667i) q^{45} +1.40960i q^{46} +(-8.70281 - 5.02457i) q^{47} +(-1.72563 + 0.148954i) q^{48} +(-2.21720 - 6.63958i) q^{49} +(6.73025 + 11.6571i) q^{50} +(-0.332290 + 0.0286827i) q^{51} +(-2.01824 - 2.98776i) q^{52} +(-5.59277 + 3.22899i) q^{53} +(-5.02375 + 1.32737i) q^{54} +(-16.8194 + 9.71067i) q^{55} +(1.54641 - 2.14677i) q^{56} +(1.67738 + 2.40148i) q^{57} +(8.66432 - 5.00235i) q^{58} +3.66871i q^{59} +(-6.74097 - 3.15290i) q^{60} +(-7.02534 + 4.05608i) q^{61} +(1.16127 + 2.01138i) q^{62} +(3.46701 - 7.14002i) q^{63} +1.00000 q^{64} +(-1.09120 - 15.4530i) q^{65} +(3.31701 - 7.09183i) q^{66} +(-4.38012 - 2.52887i) q^{67} +0.192561 q^{68} +(-0.209966 - 2.43246i) q^{69} +(10.3660 - 4.66584i) q^{70} +(5.59208 - 9.68576i) q^{71} +(2.95563 - 0.514080i) q^{72} +(-5.90130 - 10.2214i) q^{73} +5.70199i q^{74} +(-13.3503 - 19.1135i) q^{75} +(-0.845613 - 1.46464i) q^{76} +(4.90869 + 10.9055i) q^{77} +(3.92779 + 4.85515i) q^{78} +(-1.93078 + 3.34421i) q^{79} +(3.72094 + 2.14828i) q^{80} +(8.47144 - 3.03885i) q^{81} +(-1.24309 + 0.717699i) q^{82} +4.15111i q^{83} +(-2.34878 + 3.93488i) q^{84} +(0.716508 + 0.413676i) q^{85} +(1.73181 - 2.99958i) q^{86} +(-14.2063 + 9.92281i) q^{87} +(-2.26010 + 3.91461i) q^{88} +2.16589i q^{89} +(12.1021 + 4.43667i) q^{90} +(-9.53506 - 0.287618i) q^{91} +1.40960i q^{92} +(-2.30353 - 3.29793i) q^{93} +(-8.70281 - 5.02457i) q^{94} -7.26647i q^{95} +(-1.72563 + 0.148954i) q^{96} +(6.86525 - 11.8910i) q^{97} +(-2.21720 - 6.63958i) q^{98} +(-4.66759 + 12.7320i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q + 34q^{2} + 6q^{3} + 34q^{4} + 9q^{5} + 6q^{6} + 4q^{7} + 34q^{8} + 4q^{9} + O(q^{10}) \) \( 34q + 34q^{2} + 6q^{3} + 34q^{4} + 9q^{5} + 6q^{6} + 4q^{7} + 34q^{8} + 4q^{9} + 9q^{10} + 9q^{11} + 6q^{12} + 8q^{13} + 4q^{14} - 17q^{15} + 34q^{16} + 12q^{17} + 4q^{18} - 5q^{19} + 9q^{20} - 7q^{21} + 9q^{22} + 6q^{24} + 16q^{25} + 8q^{26} - 18q^{27} + 4q^{28} + 27q^{29} - 17q^{30} - q^{31} + 34q^{32} + 12q^{34} - 3q^{35} + 4q^{36} - 5q^{38} - 10q^{39} + 9q^{40} - 3q^{41} - 7q^{42} - 3q^{43} + 9q^{44} + 9q^{45} - 27q^{47} + 6q^{48} - 2q^{49} + 16q^{50} - 36q^{51} + 8q^{52} - 21q^{53} - 18q^{54} - 57q^{55} + 4q^{56} - 17q^{57} + 27q^{58} - 17q^{60} - 51q^{61} - q^{62} - 24q^{63} + 34q^{64} - 21q^{65} - 21q^{67} + 12q^{68} + 30q^{69} - 3q^{70} - 15q^{71} + 4q^{72} - 19q^{73} - 54q^{75} - 5q^{76} + 9q^{77} - 10q^{78} - 9q^{79} + 9q^{80} + 28q^{81} - 3q^{82} - 7q^{84} - 42q^{85} - 3q^{86} - 81q^{87} + 9q^{88} + 9q^{90} - 72q^{91} - 17q^{93} - 27q^{94} + 6q^{96} + 19q^{97} - 2q^{98} - 27q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.00000 0.707107
\(3\) −1.72563 + 0.148954i −0.996295 + 0.0859986i
\(4\) 1.00000 0.500000
\(5\) 3.72094 + 2.14828i 1.66405 + 0.960742i 0.970749 + 0.240098i \(0.0771797\pi\)
0.693306 + 0.720644i \(0.256154\pi\)
\(6\) −1.72563 + 0.148954i −0.704487 + 0.0608102i
\(7\) 1.54641 2.14677i 0.584490 0.811401i
\(8\) 1.00000 0.353553
\(9\) 2.95563 0.514080i 0.985208 0.171360i
\(10\) 3.72094 + 2.14828i 1.17666 + 0.679347i
\(11\) −2.26010 + 3.91461i −0.681446 + 1.18030i 0.293094 + 0.956084i \(0.405315\pi\)
−0.974540 + 0.224215i \(0.928018\pi\)
\(12\) −1.72563 + 0.148954i −0.498148 + 0.0429993i
\(13\) −2.01824 2.98776i −0.559760 0.828655i
\(14\) 1.54641 2.14677i 0.413297 0.573747i
\(15\) −6.74097 3.15290i −1.74051 0.814077i
\(16\) 1.00000 0.250000
\(17\) 0.192561 0.0467030 0.0233515 0.999727i \(-0.492566\pi\)
0.0233515 + 0.999727i \(0.492566\pi\)
\(18\) 2.95563 0.514080i 0.696648 0.121170i
\(19\) −0.845613 1.46464i −0.193997 0.336013i 0.752574 0.658507i \(-0.228812\pi\)
−0.946571 + 0.322495i \(0.895479\pi\)
\(20\) 3.72094 + 2.14828i 0.832027 + 0.480371i
\(21\) −2.34878 + 3.93488i −0.512545 + 0.858660i
\(22\) −2.26010 + 3.91461i −0.481855 + 0.834597i
\(23\) 1.40960i 0.293922i 0.989142 + 0.146961i \(0.0469492\pi\)
−0.989142 + 0.146961i \(0.953051\pi\)
\(24\) −1.72563 + 0.148954i −0.352244 + 0.0304051i
\(25\) 6.73025 + 11.6571i 1.34605 + 2.33143i
\(26\) −2.01824 2.98776i −0.395810 0.585947i
\(27\) −5.02375 + 1.32737i −0.966822 + 0.255452i
\(28\) 1.54641 2.14677i 0.292245 0.405701i
\(29\) 8.66432 5.00235i 1.60892 0.928913i 0.619313 0.785144i \(-0.287411\pi\)
0.989611 0.143769i \(-0.0459222\pi\)
\(30\) −6.74097 3.15290i −1.23073 0.575639i
\(31\) 1.16127 + 2.01138i 0.208570 + 0.361254i 0.951264 0.308377i \(-0.0997857\pi\)
−0.742694 + 0.669631i \(0.766452\pi\)
\(32\) 1.00000 0.176777
\(33\) 3.31701 7.09183i 0.577417 1.23453i
\(34\) 0.192561 0.0330240
\(35\) 10.3660 4.66584i 1.75217 0.788671i
\(36\) 2.95563 0.514080i 0.492604 0.0856800i
\(37\) 5.70199i 0.937401i 0.883357 + 0.468700i \(0.155278\pi\)
−0.883357 + 0.468700i \(0.844722\pi\)
\(38\) −0.845613 1.46464i −0.137177 0.237597i
\(39\) 3.92779 + 4.85515i 0.628949 + 0.777446i
\(40\) 3.72094 + 2.14828i 0.588332 + 0.339674i
\(41\) −1.24309 + 0.717699i −0.194138 + 0.112086i −0.593918 0.804525i \(-0.702420\pi\)
0.399780 + 0.916611i \(0.369086\pi\)
\(42\) −2.34878 + 3.93488i −0.362424 + 0.607165i
\(43\) 1.73181 2.99958i 0.264099 0.457432i −0.703229 0.710964i \(-0.748259\pi\)
0.967327 + 0.253532i \(0.0815923\pi\)
\(44\) −2.26010 + 3.91461i −0.340723 + 0.590149i
\(45\) 12.1021 + 4.43667i 1.80407 + 0.661379i
\(46\) 1.40960i 0.207834i
\(47\) −8.70281 5.02457i −1.26944 0.732909i −0.294554 0.955635i \(-0.595171\pi\)
−0.974881 + 0.222726i \(0.928504\pi\)
\(48\) −1.72563 + 0.148954i −0.249074 + 0.0214996i
\(49\) −2.21720 6.63958i −0.316743 0.948511i
\(50\) 6.73025 + 11.6571i 0.951802 + 1.64857i
\(51\) −0.332290 + 0.0286827i −0.0465299 + 0.00401639i
\(52\) −2.01824 2.98776i −0.279880 0.414327i
\(53\) −5.59277 + 3.22899i −0.768226 + 0.443536i −0.832241 0.554413i \(-0.812943\pi\)
0.0640153 + 0.997949i \(0.479609\pi\)
\(54\) −5.02375 + 1.32737i −0.683646 + 0.180632i
\(55\) −16.8194 + 9.71067i −2.26792 + 1.30939i
\(56\) 1.54641 2.14677i 0.206648 0.286874i
\(57\) 1.67738 + 2.40148i 0.222175 + 0.318084i
\(58\) 8.66432 5.00235i 1.13768 0.656841i
\(59\) 3.66871i 0.477625i 0.971066 + 0.238813i \(0.0767582\pi\)
−0.971066 + 0.238813i \(0.923242\pi\)
\(60\) −6.74097 3.15290i −0.870256 0.407038i
\(61\) −7.02534 + 4.05608i −0.899503 + 0.519328i −0.877039 0.480420i \(-0.840484\pi\)
−0.0224638 + 0.999748i \(0.507151\pi\)
\(62\) 1.16127 + 2.01138i 0.147481 + 0.255445i
\(63\) 3.46701 7.14002i 0.436803 0.899557i
\(64\) 1.00000 0.125000
\(65\) −1.09120 15.4530i −0.135347 1.91671i
\(66\) 3.31701 7.09183i 0.408296 0.872944i
\(67\) −4.38012 2.52887i −0.535117 0.308950i 0.207980 0.978133i \(-0.433311\pi\)
−0.743098 + 0.669183i \(0.766644\pi\)
\(68\) 0.192561 0.0233515
\(69\) −0.209966 2.43246i −0.0252769 0.292833i
\(70\) 10.3660 4.66584i 1.23897 0.557675i
\(71\) 5.59208 9.68576i 0.663658 1.14949i −0.315990 0.948763i \(-0.602337\pi\)
0.979647 0.200726i \(-0.0643301\pi\)
\(72\) 2.95563 0.514080i 0.348324 0.0605849i
\(73\) −5.90130 10.2214i −0.690695 1.19632i −0.971610 0.236586i \(-0.923971\pi\)
0.280915 0.959733i \(-0.409362\pi\)
\(74\) 5.70199i 0.662842i
\(75\) −13.3503 19.1135i −1.54156 2.20703i
\(76\) −0.845613 1.46464i −0.0969985 0.168006i
\(77\) 4.90869 + 10.9055i 0.559397 + 1.24280i
\(78\) 3.92779 + 4.85515i 0.444734 + 0.549738i
\(79\) −1.93078 + 3.34421i −0.217230 + 0.376253i −0.953960 0.299934i \(-0.903035\pi\)
0.736730 + 0.676187i \(0.236369\pi\)
\(80\) 3.72094 + 2.14828i 0.416014 + 0.240186i
\(81\) 8.47144 3.03885i 0.941272 0.337650i
\(82\) −1.24309 + 0.717699i −0.137276 + 0.0792566i
\(83\) 4.15111i 0.455643i 0.973703 + 0.227822i \(0.0731603\pi\)
−0.973703 + 0.227822i \(0.926840\pi\)
\(84\) −2.34878 + 3.93488i −0.256273 + 0.429330i
\(85\) 0.716508 + 0.413676i 0.0777162 + 0.0448695i
\(86\) 1.73181 2.99958i 0.186746 0.323453i
\(87\) −14.2063 + 9.92281i −1.52308 + 1.06384i
\(88\) −2.26010 + 3.91461i −0.240927 + 0.417299i
\(89\) 2.16589i 0.229584i 0.993390 + 0.114792i \(0.0366202\pi\)
−0.993390 + 0.114792i \(0.963380\pi\)
\(90\) 12.1021 + 4.43667i 1.27567 + 0.467666i
\(91\) −9.53506 0.287618i −0.999545 0.0301505i
\(92\) 1.40960i 0.146961i
\(93\) −2.30353 3.29793i −0.238865 0.341979i
\(94\) −8.70281 5.02457i −0.897626 0.518245i
\(95\) 7.26647i 0.745524i
\(96\) −1.72563 + 0.148954i −0.176122 + 0.0152025i
\(97\) 6.86525 11.8910i 0.697061 1.20735i −0.272420 0.962178i \(-0.587824\pi\)
0.969481 0.245167i \(-0.0788427\pi\)
\(98\) −2.21720 6.63958i −0.223971 0.670699i
\(99\) −4.66759 + 12.7320i −0.469110 + 1.27961i
\(100\) 6.73025 + 11.6571i 0.673025 + 1.16571i
\(101\) −0.0403083 + 0.0698161i −0.00401083 + 0.00694696i −0.868024 0.496522i \(-0.834610\pi\)
0.864013 + 0.503469i \(0.167943\pi\)
\(102\) −0.332290 + 0.0286827i −0.0329016 + 0.00284001i
\(103\) −9.05121 5.22572i −0.891842 0.514905i −0.0172977 0.999850i \(-0.505506\pi\)
−0.874545 + 0.484945i \(0.838840\pi\)
\(104\) −2.01824 2.98776i −0.197905 0.292974i
\(105\) −17.1929 + 9.59559i −1.67785 + 0.936434i
\(106\) −5.59277 + 3.22899i −0.543218 + 0.313627i
\(107\) 5.36397i 0.518555i 0.965803 + 0.259277i \(0.0834844\pi\)
−0.965803 + 0.259277i \(0.916516\pi\)
\(108\) −5.02375 + 1.32737i −0.483411 + 0.127726i
\(109\) 6.11686 3.53157i 0.585889 0.338263i −0.177581 0.984106i \(-0.556827\pi\)
0.763470 + 0.645843i \(0.223494\pi\)
\(110\) −16.8194 + 9.71067i −1.60367 + 0.925876i
\(111\) −0.849333 9.83954i −0.0806151 0.933928i
\(112\) 1.54641 2.14677i 0.146122 0.202850i
\(113\) −11.0639 6.38777i −1.04081 0.600911i −0.120746 0.992683i \(-0.538529\pi\)
−0.920062 + 0.391773i \(0.871862\pi\)
\(114\) 1.67738 + 2.40148i 0.157101 + 0.224920i
\(115\) −3.02822 + 5.24504i −0.282383 + 0.489102i
\(116\) 8.66432 5.00235i 0.804462 0.464456i
\(117\) −7.50112 7.79315i −0.693478 0.720477i
\(118\) 3.66871i 0.337732i
\(119\) 0.297779 0.413384i 0.0272974 0.0378948i
\(120\) −6.74097 3.15290i −0.615364 0.287820i
\(121\) −4.71610 8.16852i −0.428736 0.742593i
\(122\) −7.02534 + 4.05608i −0.636044 + 0.367220i
\(123\) 2.03822 1.42365i 0.183780 0.128366i
\(124\) 1.16127 + 2.01138i 0.104285 + 0.180627i
\(125\) 36.3512i 3.25135i
\(126\) 3.46701 7.14002i 0.308866 0.636083i
\(127\) 0.0510484 + 0.0884185i 0.00452982 + 0.00784587i 0.868281 0.496072i \(-0.165225\pi\)
−0.863752 + 0.503918i \(0.831891\pi\)
\(128\) 1.00000 0.0883883
\(129\) −2.54167 + 5.43414i −0.223782 + 0.478449i
\(130\) −1.09120 15.4530i −0.0957048 1.35532i
\(131\) 0.746067 1.29223i 0.0651842 0.112902i −0.831591 0.555388i \(-0.812570\pi\)
0.896776 + 0.442485i \(0.145903\pi\)
\(132\) 3.31701 7.09183i 0.288709 0.617265i
\(133\) −4.45192 0.449615i −0.386030 0.0389866i
\(134\) −4.38012 2.52887i −0.378385 0.218461i
\(135\) −21.5446 5.85341i −1.85427 0.503781i
\(136\) 0.192561 0.0165120
\(137\) −20.1088 −1.71801 −0.859005 0.511967i \(-0.828917\pi\)
−0.859005 + 0.511967i \(0.828917\pi\)
\(138\) −0.209966 2.43246i −0.0178735 0.207064i
\(139\) −14.3239 8.26993i −1.21494 0.701446i −0.251109 0.967959i \(-0.580795\pi\)
−0.963831 + 0.266513i \(0.914129\pi\)
\(140\) 10.3660 4.66584i 0.876085 0.394336i
\(141\) 15.7663 + 7.37425i 1.32776 + 0.621024i
\(142\) 5.59208 9.68576i 0.469277 0.812811i
\(143\) 16.2573 1.14800i 1.35951 0.0960004i
\(144\) 2.95563 0.514080i 0.246302 0.0428400i
\(145\) 42.9859 3.56978
\(146\) −5.90130 10.2214i −0.488395 0.845925i
\(147\) 4.81507 + 11.1272i 0.397141 + 0.917758i
\(148\) 5.70199i 0.468700i
\(149\) 2.04689 + 3.54532i 0.167688 + 0.290444i 0.937606 0.347698i \(-0.113037\pi\)
−0.769919 + 0.638142i \(0.779703\pi\)
\(150\) −13.3503 19.1135i −1.09005 1.56061i
\(151\) 6.54953 3.78138i 0.532994 0.307724i −0.209241 0.977864i \(-0.567099\pi\)
0.742235 + 0.670140i \(0.233766\pi\)
\(152\) −0.845613 1.46464i −0.0685883 0.118798i
\(153\) 0.569139 0.0989918i 0.0460121 0.00800301i
\(154\) 4.90869 + 10.9055i 0.395554 + 0.878791i
\(155\) 9.97895i 0.801528i
\(156\) 3.92779 + 4.85515i 0.314475 + 0.388723i
\(157\) −4.42840 + 2.55674i −0.353425 + 0.204050i −0.666193 0.745780i \(-0.732077\pi\)
0.312768 + 0.949830i \(0.398744\pi\)
\(158\) −1.93078 + 3.34421i −0.153605 + 0.266051i
\(159\) 9.17010 6.40512i 0.727237 0.507959i
\(160\) 3.72094 + 2.14828i 0.294166 + 0.169837i
\(161\) 3.02608 + 2.17983i 0.238489 + 0.171794i
\(162\) 8.47144 3.03885i 0.665580 0.238755i
\(163\) 8.00463 4.62147i 0.626971 0.361982i −0.152607 0.988287i \(-0.548767\pi\)
0.779578 + 0.626305i \(0.215434\pi\)
\(164\) −1.24309 + 0.717699i −0.0970691 + 0.0560429i
\(165\) 27.5777 19.2624i 2.14692 1.49957i
\(166\) 4.15111i 0.322188i
\(167\) 13.7047 7.91242i 1.06050 0.612281i 0.134931 0.990855i \(-0.456919\pi\)
0.925571 + 0.378574i \(0.123585\pi\)
\(168\) −2.34878 + 3.93488i −0.181212 + 0.303582i
\(169\) −4.85339 + 12.0600i −0.373338 + 0.927695i
\(170\) 0.716508 + 0.413676i 0.0549537 + 0.0317275i
\(171\) −3.25226 3.89423i −0.248707 0.297799i
\(172\) 1.73181 2.99958i 0.132049 0.228716i
\(173\) −6.36169 11.0188i −0.483670 0.837741i 0.516154 0.856496i \(-0.327363\pi\)
−0.999824 + 0.0187546i \(0.994030\pi\)
\(174\) −14.2063 + 9.92281i −1.07698 + 0.752246i
\(175\) 35.4329 + 3.57850i 2.67848 + 0.270509i
\(176\) −2.26010 + 3.91461i −0.170361 + 0.295075i
\(177\) −0.546468 6.33085i −0.0410751 0.475856i
\(178\) 2.16589i 0.162340i
\(179\) 4.77637 + 2.75764i 0.357003 + 0.206116i 0.667765 0.744372i \(-0.267251\pi\)
−0.310762 + 0.950488i \(0.600584\pi\)
\(180\) 12.1021 + 4.43667i 0.902036 + 0.330690i
\(181\) 3.95607i 0.294053i 0.989133 + 0.147026i \(0.0469702\pi\)
−0.989133 + 0.147026i \(0.953030\pi\)
\(182\) −9.53506 0.287618i −0.706785 0.0213197i
\(183\) 11.5190 8.04576i 0.851509 0.594760i
\(184\) 1.40960i 0.103917i
\(185\) −12.2495 + 21.2167i −0.900600 + 1.55989i
\(186\) −2.30353 3.29793i −0.168903 0.241816i
\(187\) −0.435207 + 0.753801i −0.0318255 + 0.0551234i
\(188\) −8.70281 5.02457i −0.634718 0.366454i
\(189\) −4.91926 + 12.8375i −0.357824 + 0.933789i
\(190\) 7.26647i 0.527165i
\(191\) 6.23661 3.60071i 0.451266 0.260538i −0.257099 0.966385i \(-0.582767\pi\)
0.708365 + 0.705847i \(0.249433\pi\)
\(192\) −1.72563 + 0.148954i −0.124537 + 0.0107498i
\(193\) −17.8125 10.2840i −1.28217 0.740262i −0.304926 0.952376i \(-0.598632\pi\)
−0.977245 + 0.212114i \(0.931965\pi\)
\(194\) 6.86525 11.8910i 0.492897 0.853722i
\(195\) 4.18480 + 26.5037i 0.299680 + 1.89797i
\(196\) −2.21720 6.63958i −0.158372 0.474256i
\(197\) 12.5549 + 21.7458i 0.894501 + 1.54932i 0.834421 + 0.551128i \(0.185802\pi\)
0.0600807 + 0.998194i \(0.480864\pi\)
\(198\) −4.66759 + 12.7320i −0.331711 + 0.904823i
\(199\) 7.42309i 0.526209i 0.964767 + 0.263104i \(0.0847463\pi\)
−0.964767 + 0.263104i \(0.915254\pi\)
\(200\) 6.73025 + 11.6571i 0.475901 + 0.824284i
\(201\) 7.93518 + 3.71146i 0.559704 + 0.261786i
\(202\) −0.0403083 + 0.0698161i −0.00283608 + 0.00491224i
\(203\) 2.65976 26.3360i 0.186679 1.84842i
\(204\) −0.332290 + 0.0286827i −0.0232650 + 0.00200819i
\(205\) −6.16728 −0.430742
\(206\) −9.05121 5.22572i −0.630628 0.364093i
\(207\) 0.724647 + 4.16625i 0.0503665 + 0.289575i
\(208\) −2.01824 2.98776i −0.139940 0.207164i
\(209\) 7.64468 0.528794
\(210\) −17.1929 + 9.59559i −1.18642 + 0.662159i
\(211\) 2.60466 + 4.51140i 0.179312 + 0.310577i 0.941645 0.336607i \(-0.109280\pi\)
−0.762333 + 0.647185i \(0.775946\pi\)
\(212\) −5.59277 + 3.22899i −0.384113 + 0.221768i
\(213\) −8.20715 + 17.5470i −0.562345 + 1.20230i
\(214\) 5.36397i 0.366674i
\(215\) 12.8879 7.44084i 0.878948 0.507461i
\(216\) −5.02375 + 1.32737i −0.341823 + 0.0903158i
\(217\) 6.11376 + 0.617450i 0.415029 + 0.0419153i
\(218\) 6.11686 3.53157i 0.414286 0.239188i
\(219\) 11.7060 + 16.7593i 0.791018 + 1.13249i
\(220\) −16.8194 + 9.71067i −1.13396 + 0.654694i
\(221\) −0.388635 0.575326i −0.0261424 0.0387006i
\(222\) −0.849333 9.83954i −0.0570035 0.660387i
\(223\) −3.67083 6.35806i −0.245817 0.425767i 0.716544 0.697542i \(-0.245723\pi\)
−0.962361 + 0.271775i \(0.912389\pi\)
\(224\) 1.54641 2.14677i 0.103324 0.143437i
\(225\) 25.8848 + 30.9943i 1.72565 + 2.06628i
\(226\) −11.0639 6.38777i −0.735963 0.424908i
\(227\) 21.5999i 1.43363i −0.697262 0.716816i \(-0.745599\pi\)
0.697262 0.716816i \(-0.254401\pi\)
\(228\) 1.67738 + 2.40148i 0.111087 + 0.159042i
\(229\) −5.53269 + 9.58290i −0.365610 + 0.633256i −0.988874 0.148756i \(-0.952473\pi\)
0.623263 + 0.782012i \(0.285806\pi\)
\(230\) −3.02822 + 5.24504i −0.199675 + 0.345848i
\(231\) −10.0950 18.0877i −0.664204 1.19009i
\(232\) 8.66432 5.00235i 0.568841 0.328420i
\(233\) 5.93673 + 3.42758i 0.388928 + 0.224548i 0.681696 0.731636i \(-0.261243\pi\)
−0.292767 + 0.956184i \(0.594576\pi\)
\(234\) −7.50112 7.79315i −0.490363 0.509454i
\(235\) −21.5884 37.3922i −1.40827 2.43920i
\(236\) 3.66871i 0.238813i
\(237\) 2.83369 6.05848i 0.184068 0.393540i
\(238\) 0.297779 0.413384i 0.0193022 0.0267957i
\(239\) −7.06260 −0.456841 −0.228421 0.973563i \(-0.573356\pi\)
−0.228421 + 0.973563i \(0.573356\pi\)
\(240\) −6.74097 3.15290i −0.435128 0.203519i
\(241\) −19.7363 −1.27133 −0.635664 0.771966i \(-0.719274\pi\)
−0.635664 + 0.771966i \(0.719274\pi\)
\(242\) −4.71610 8.16852i −0.303162 0.525093i
\(243\) −14.1660 + 6.50581i −0.908747 + 0.417348i
\(244\) −7.02534 + 4.05608i −0.449751 + 0.259664i
\(245\) 6.01363 29.4686i 0.384196 1.88268i
\(246\) 2.03822 1.42365i 0.129952 0.0907685i
\(247\) −2.66935 + 5.48250i −0.169847 + 0.348843i
\(248\) 1.16127 + 2.01138i 0.0737407 + 0.127723i
\(249\) −0.618323 7.16329i −0.0391847 0.453955i
\(250\) 36.3512i 2.29905i
\(251\) −2.00148 + 3.46666i −0.126332 + 0.218814i −0.922253 0.386587i \(-0.873654\pi\)
0.795921 + 0.605401i \(0.206987\pi\)
\(252\) 3.46701 7.14002i 0.218401 0.449779i
\(253\) −5.51803 3.18584i −0.346916 0.200292i
\(254\) 0.0510484 + 0.0884185i 0.00320306 + 0.00554787i
\(255\) −1.29805 0.607127i −0.0812870 0.0380198i
\(256\) 1.00000 0.0625000
\(257\) 8.95503 0.558599 0.279300 0.960204i \(-0.409898\pi\)
0.279300 + 0.960204i \(0.409898\pi\)
\(258\) −2.54167 + 5.43414i −0.158237 + 0.338315i
\(259\) 12.2408 + 8.81763i 0.760608 + 0.547901i
\(260\) −1.09120 15.4530i −0.0676735 0.958356i
\(261\) 23.0369 19.2392i 1.42595 1.19088i
\(262\) 0.746067 1.29223i 0.0460922 0.0798340i
\(263\) 15.5696 + 8.98910i 0.960061 + 0.554291i 0.896192 0.443667i \(-0.146323\pi\)
0.0638691 + 0.997958i \(0.479656\pi\)
\(264\) 3.31701 7.09183i 0.204148 0.436472i
\(265\) −27.7471 −1.70449
\(266\) −4.45192 0.449615i −0.272965 0.0275677i
\(267\) −0.322618 3.73754i −0.0197439 0.228734i
\(268\) −4.38012 2.52887i −0.267559 0.154475i
\(269\) −2.85518 −0.174083 −0.0870417 0.996205i \(-0.527741\pi\)
−0.0870417 + 0.996205i \(0.527741\pi\)
\(270\) −21.5446 5.85341i −1.31116 0.356227i
\(271\) −4.47256 −0.271689 −0.135844 0.990730i \(-0.543375\pi\)
−0.135844 + 0.990730i \(0.543375\pi\)
\(272\) 0.192561 0.0116757
\(273\) 16.4969 0.923960i 0.998435 0.0559206i
\(274\) −20.1088 −1.21482
\(275\) −60.8442 −3.66904
\(276\) −0.209966 2.43246i −0.0126384 0.146417i
\(277\) 14.8067 0.889651 0.444826 0.895617i \(-0.353266\pi\)
0.444826 + 0.895617i \(0.353266\pi\)
\(278\) −14.3239 8.26993i −0.859093 0.495997i
\(279\) 4.46628 + 5.34789i 0.267389 + 0.320170i
\(280\) 10.3660 4.66584i 0.619486 0.278837i
\(281\) 3.78960 0.226069 0.113034 0.993591i \(-0.463943\pi\)
0.113034 + 0.993591i \(0.463943\pi\)
\(282\) 15.7663 + 7.37425i 0.938869 + 0.439130i
\(283\) 23.9803 + 13.8450i 1.42548 + 0.823002i 0.996760 0.0804346i \(-0.0256308\pi\)
0.428722 + 0.903437i \(0.358964\pi\)
\(284\) 5.59208 9.68576i 0.331829 0.574744i
\(285\) 1.08237 + 12.5393i 0.0641140 + 0.742762i
\(286\) 16.2573 1.14800i 0.961316 0.0678826i
\(287\) −0.381603 + 3.77848i −0.0225253 + 0.223037i
\(288\) 2.95563 0.514080i 0.174162 0.0302924i
\(289\) −16.9629 −0.997819
\(290\) 42.9859 2.52422
\(291\) −10.0757 + 21.5421i −0.590649 + 1.26282i
\(292\) −5.90130 10.2214i −0.345348 0.598160i
\(293\) 17.6685 + 10.2009i 1.03221 + 0.595944i 0.917616 0.397469i \(-0.130111\pi\)
0.114590 + 0.993413i \(0.463445\pi\)
\(294\) 4.81507 + 11.1272i 0.280821 + 0.648953i
\(295\) −7.88143 + 13.6510i −0.458875 + 0.794794i
\(296\) 5.70199i 0.331421i
\(297\) 6.15807 22.6660i 0.357327 1.31521i
\(298\) 2.04689 + 3.54532i 0.118573 + 0.205375i
\(299\) 4.21155 2.84492i 0.243560 0.164526i
\(300\) −13.3503 19.1135i −0.770782 1.10352i
\(301\) −3.76130 8.35639i −0.216798 0.481654i
\(302\) 6.54953 3.78138i 0.376883 0.217594i
\(303\) 0.0591581 0.126481i 0.00339854 0.00726615i
\(304\) −0.845613 1.46464i −0.0484992 0.0840031i
\(305\) −34.8545 −1.99576
\(306\) 0.569139 0.0989918i 0.0325355 0.00565899i
\(307\) 25.5018 1.45546 0.727731 0.685862i \(-0.240575\pi\)
0.727731 + 0.685862i \(0.240575\pi\)
\(308\) 4.90869 + 10.9055i 0.279699 + 0.621399i
\(309\) 16.3975 + 7.66947i 0.932819 + 0.436301i
\(310\) 9.97895i 0.566766i
\(311\) 8.67002 + 15.0169i 0.491632 + 0.851531i 0.999954 0.00963600i \(-0.00306728\pi\)
−0.508322 + 0.861167i \(0.669734\pi\)
\(312\) 3.92779 + 4.85515i 0.222367 + 0.274869i
\(313\) −7.84351 4.52845i −0.443341 0.255963i 0.261673 0.965157i \(-0.415726\pi\)
−0.705014 + 0.709194i \(0.749059\pi\)
\(314\) −4.42840 + 2.55674i −0.249909 + 0.144285i
\(315\) 28.2393 19.1194i 1.59111 1.07726i
\(316\) −1.93078 + 3.34421i −0.108615 + 0.188126i
\(317\) 4.97176 8.61134i 0.279242 0.483661i −0.691955 0.721941i \(-0.743250\pi\)
0.971197 + 0.238280i \(0.0765836\pi\)
\(318\) 9.17010 6.40512i 0.514234 0.359181i
\(319\) 45.2232i 2.53201i
\(320\) 3.72094 + 2.14828i 0.208007 + 0.120093i
\(321\) −0.798984 9.25625i −0.0445950 0.516634i
\(322\) 3.02608 + 2.17983i 0.168637 + 0.121477i
\(323\) −0.162832 0.282034i −0.00906023 0.0156928i
\(324\) 8.47144 3.03885i 0.470636 0.168825i
\(325\) 21.2454 43.6353i 1.17848 2.42045i
\(326\) 8.00463 4.62147i 0.443335 0.255960i
\(327\) −10.0294 + 7.00533i −0.554628 + 0.387396i
\(328\) −1.24309 + 0.717699i −0.0686382 + 0.0396283i
\(329\) −24.2447 + 10.9128i −1.33665 + 0.601643i
\(330\) 27.5777 19.2624i 1.51810 1.06036i
\(331\) −23.9748 + 13.8419i −1.31777 + 0.760817i −0.983370 0.181613i \(-0.941868\pi\)
−0.334404 + 0.942430i \(0.608535\pi\)
\(332\) 4.15111i 0.227822i
\(333\) 2.93128 + 16.8529i 0.160633 + 0.923535i
\(334\) 13.7047 7.91242i 0.749888 0.432948i
\(335\) −10.8654 18.8195i −0.593643 1.02822i
\(336\) −2.34878 + 3.93488i −0.128136 + 0.214665i
\(337\) −9.67002 −0.526760 −0.263380 0.964692i \(-0.584837\pi\)
−0.263380 + 0.964692i \(0.584837\pi\)
\(338\) −4.85339 + 12.0600i −0.263990 + 0.655980i
\(339\) 20.0438 + 9.37494i 1.08863 + 0.509177i
\(340\) 0.716508 + 0.413676i 0.0388581 + 0.0224347i
\(341\) −10.4983 −0.568517
\(342\) −3.25226 3.89423i −0.175862 0.210576i
\(343\) −17.6823 5.50772i −0.954756 0.297389i
\(344\) 1.73181 2.99958i 0.0933729 0.161727i
\(345\) 4.44434 9.50208i 0.239275 0.511575i
\(346\) −6.36169 11.0188i −0.342006 0.592372i
\(347\) 21.2360i 1.14001i 0.821641 + 0.570005i \(0.193059\pi\)
−0.821641 + 0.570005i \(0.806941\pi\)
\(348\) −14.2063 + 9.92281i −0.761539 + 0.531918i
\(349\) 3.87087 + 6.70454i 0.207203 + 0.358886i 0.950832 0.309706i \(-0.100231\pi\)
−0.743630 + 0.668592i \(0.766897\pi\)
\(350\) 35.4329 + 3.57850i 1.89397 + 0.191279i
\(351\) 14.1050 + 12.3308i 0.752869 + 0.658170i
\(352\) −2.26010 + 3.91461i −0.120464 + 0.208649i
\(353\) 4.13071 + 2.38487i 0.219855 + 0.126934i 0.605883 0.795554i \(-0.292820\pi\)
−0.386028 + 0.922487i \(0.626153\pi\)
\(354\) −0.546468 6.33085i −0.0290445 0.336481i
\(355\) 41.6156 24.0268i 2.20872 1.27521i
\(356\) 2.16589i 0.114792i
\(357\) −0.452283 + 0.757704i −0.0239374 + 0.0401020i
\(358\) 4.77637 + 2.75764i 0.252439 + 0.145746i
\(359\) −14.0272 + 24.2958i −0.740328 + 1.28229i 0.212018 + 0.977266i \(0.431996\pi\)
−0.952346 + 0.305020i \(0.901337\pi\)
\(360\) 12.1021 + 4.43667i 0.637836 + 0.233833i
\(361\) 8.06988 13.9774i 0.424730 0.735655i
\(362\) 3.95607i 0.207927i
\(363\) 9.35499 + 13.3934i 0.491010 + 0.702971i
\(364\) −9.53506 0.287618i −0.499773 0.0150753i
\(365\) 50.7107i 2.65432i
\(366\) 11.5190 8.04576i 0.602108 0.420559i
\(367\) 9.24291 + 5.33639i 0.482476 + 0.278558i 0.721448 0.692469i \(-0.243477\pi\)
−0.238972 + 0.971026i \(0.576810\pi\)
\(368\) 1.40960i 0.0734805i
\(369\) −3.30516 + 2.76030i −0.172060 + 0.143695i
\(370\) −12.2495 + 21.2167i −0.636821 + 1.10301i
\(371\) −1.71686 + 16.9997i −0.0891351 + 0.882582i
\(372\) −2.30353 3.29793i −0.119432 0.170989i
\(373\) 11.4478 + 19.8282i 0.592746 + 1.02667i 0.993861 + 0.110638i \(0.0352895\pi\)
−0.401115 + 0.916028i \(0.631377\pi\)
\(374\) −0.435207 + 0.753801i −0.0225040 + 0.0389781i
\(375\) −5.41465 62.7288i −0.279611 3.23930i
\(376\) −8.70281 5.02457i −0.448813 0.259122i
\(377\) −32.4325 15.7909i −1.67036 0.813275i
\(378\) −4.91926 + 12.8375i −0.253020 + 0.660289i
\(379\) 2.11006 1.21824i 0.108387 0.0625770i −0.444827 0.895617i \(-0.646735\pi\)
0.553213 + 0.833040i \(0.313401\pi\)
\(380\) 7.26647i 0.372762i
\(381\) −0.101261 0.144974i −0.00518777 0.00742725i
\(382\) 6.23661 3.60071i 0.319093 0.184228i
\(383\) 12.3614 7.13684i 0.631637 0.364676i −0.149749 0.988724i \(-0.547847\pi\)
0.781386 + 0.624048i \(0.214513\pi\)
\(384\) −1.72563 + 0.148954i −0.0880609 + 0.00760127i
\(385\) −5.16319 + 51.1240i −0.263141 + 2.60552i
\(386\) −17.8125 10.2840i −0.906632 0.523444i
\(387\) 3.57656 9.75593i 0.181807 0.495922i
\(388\) 6.86525 11.8910i 0.348531 0.603673i
\(389\) −7.37813 + 4.25977i −0.374086 + 0.215979i −0.675242 0.737596i \(-0.735961\pi\)
0.301156 + 0.953575i \(0.402628\pi\)
\(390\) 4.18480 + 26.5037i 0.211906 + 1.34207i
\(391\) 0.271434i 0.0137270i
\(392\) −2.21720 6.63958i −0.111986 0.335349i
\(393\) −1.09496 + 2.34104i −0.0552333 + 0.118090i
\(394\) 12.5549 + 21.7458i 0.632508 + 1.09554i
\(395\) −14.3686 + 8.29573i −0.722964 + 0.417403i
\(396\) −4.66759 + 12.7320i −0.234555 + 0.639806i
\(397\) −6.69762 11.6006i −0.336144 0.582218i 0.647560 0.762015i \(-0.275790\pi\)
−0.983704 + 0.179796i \(0.942456\pi\)
\(398\) 7.42309i 0.372086i
\(399\) 7.74935 + 0.112741i 0.387953 + 0.00564409i
\(400\) 6.73025 + 11.6571i 0.336513 + 0.582857i
\(401\) 14.8495 0.741550 0.370775 0.928723i \(-0.379092\pi\)
0.370775 + 0.928723i \(0.379092\pi\)
\(402\) 7.93518 + 3.71146i 0.395771 + 0.185111i
\(403\) 3.66578 7.52904i 0.182606 0.375048i
\(404\) −0.0403083 + 0.0698161i −0.00200541 + 0.00347348i
\(405\) 38.0500 + 6.89168i 1.89072 + 0.342451i
\(406\) 2.65976 26.3360i 0.132002 1.30703i
\(407\) −22.3210 12.8871i −1.10641 0.638788i
\(408\) −0.332290 + 0.0286827i −0.0164508 + 0.00142001i
\(409\) 18.4860 0.914074 0.457037 0.889448i \(-0.348911\pi\)
0.457037 + 0.889448i \(0.348911\pi\)
\(410\) −6.16728 −0.304580
\(411\) 34.7004 2.99528i 1.71165 0.147746i
\(412\) −9.05121 5.22572i −0.445921 0.257453i
\(413\) 7.87586 + 5.67334i 0.387546 + 0.279167i
\(414\) 0.724647 + 4.16625i 0.0356145 + 0.204760i
\(415\) −8.91776 + 15.4460i −0.437756 + 0.758215i
\(416\) −2.01824 2.98776i −0.0989525 0.146487i
\(417\) 25.9497 + 12.1373i 1.27076 + 0.594364i
\(418\) 7.64468 0.373913
\(419\) 11.7502 + 20.3519i 0.574035 + 0.994257i 0.996146 + 0.0877131i \(0.0279559\pi\)
−0.422111 + 0.906544i \(0.638711\pi\)
\(420\) −17.1929 + 9.59559i −0.838927 + 0.468217i
\(421\) 7.74237i 0.377340i −0.982041 0.188670i \(-0.939582\pi\)
0.982041 0.188670i \(-0.0604176\pi\)
\(422\) 2.60466 + 4.51140i 0.126793 + 0.219611i
\(423\) −28.3053 10.3768i −1.37625 0.504538i
\(424\) −5.59277 + 3.22899i −0.271609 + 0.156814i
\(425\) 1.29599 + 2.24471i 0.0628645 + 0.108885i
\(426\) −8.20715 + 17.5470i −0.397638 + 0.850157i
\(427\) −2.15663 + 21.3541i −0.104367 + 1.03340i
\(428\) 5.36397i 0.259277i
\(429\) −27.8832 + 4.40262i −1.34621 + 0.212560i
\(430\) 12.8879 7.44084i 0.621510 0.358829i
\(431\) −9.13932 + 15.8298i −0.440225 + 0.762493i −0.997706 0.0676972i \(-0.978435\pi\)
0.557480 + 0.830190i \(0.311768\pi\)
\(432\) −5.02375 + 1.32737i −0.241705 + 0.0638629i
\(433\) 28.5068 + 16.4584i 1.36995 + 0.790940i 0.990921 0.134445i \(-0.0429252\pi\)
0.379028 + 0.925385i \(0.376259\pi\)
\(434\) 6.11376 + 0.617450i 0.293470 + 0.0296386i
\(435\) −74.1779 + 6.40291i −3.55656 + 0.306996i
\(436\) 6.11686 3.53157i 0.292945 0.169132i
\(437\) 2.06456 1.19198i 0.0987615 0.0570200i
\(438\) 11.7060 + 16.7593i 0.559334 + 0.800790i
\(439\) 8.65914i 0.413278i 0.978417 + 0.206639i \(0.0662526\pi\)
−0.978417 + 0.206639i \(0.933747\pi\)
\(440\) −16.8194 + 9.71067i −0.801833 + 0.462938i
\(441\) −9.96650 18.4843i −0.474595 0.880204i
\(442\) −0.388635 0.575326i −0.0184855 0.0273655i
\(443\) −11.7488 6.78318i −0.558203 0.322279i 0.194221 0.980958i \(-0.437782\pi\)
−0.752424 + 0.658679i \(0.771115\pi\)
\(444\) −0.849333 9.83954i −0.0403076 0.466964i
\(445\) −4.65295 + 8.05915i −0.220571 + 0.382040i
\(446\) −3.67083 6.35806i −0.173819 0.301063i
\(447\) −4.06027 5.81303i −0.192044 0.274947i
\(448\) 1.54641 2.14677i 0.0730612 0.101425i
\(449\) 1.47204 2.54965i 0.0694699 0.120325i −0.829198 0.558955i \(-0.811203\pi\)
0.898668 + 0.438629i \(0.144536\pi\)
\(450\) 25.8848 + 30.9943i 1.22022 + 1.46108i
\(451\) 6.48828i 0.305521i
\(452\) −11.0639 6.38777i −0.520404 0.300455i
\(453\) −10.7388 + 7.50085i −0.504555 + 0.352421i
\(454\) 21.5999i 1.01373i
\(455\) −34.8615 21.5542i −1.63433 1.01048i
\(456\) 1.67738 + 2.40148i 0.0785507 + 0.112460i
\(457\) 16.7645i 0.784212i −0.919920 0.392106i \(-0.871747\pi\)
0.919920 0.392106i \(-0.128253\pi\)
\(458\) −5.53269 + 9.58290i −0.258526 + 0.447780i
\(459\) −0.967380 + 0.255599i −0.0451534 + 0.0119303i
\(460\) −3.02822 + 5.24504i −0.141192 + 0.244551i
\(461\) −9.22401 5.32548i −0.429605 0.248032i 0.269573 0.962980i \(-0.413117\pi\)
−0.699178 + 0.714947i \(0.746451\pi\)
\(462\) −10.0950 18.0877i −0.469663 0.841518i
\(463\) 22.5835i 1.04954i −0.851243 0.524772i \(-0.824151\pi\)
0.851243 0.524772i \(-0.175849\pi\)
\(464\) 8.66432 5.00235i 0.402231 0.232228i
\(465\) −1.48640 17.2200i −0.0689303 0.798559i
\(466\) 5.93673 + 3.42758i 0.275014 + 0.158779i
\(467\) 14.0602 24.3530i 0.650629 1.12692i −0.332342 0.943159i \(-0.607839\pi\)
0.982971 0.183763i \(-0.0588279\pi\)
\(468\) −7.50112 7.79315i −0.346739 0.360239i
\(469\) −12.2024 + 5.49243i −0.563453 + 0.253617i
\(470\) −21.5884 37.3922i −0.995799 1.72477i
\(471\) 7.26096 5.07162i 0.334568 0.233688i
\(472\) 3.66871i 0.168866i
\(473\) 7.82812 + 13.5587i 0.359938 + 0.623430i
\(474\) 2.83369 6.05848i 0.130155 0.278275i
\(475\) 11.3824 19.7149i 0.522260 0.904580i
\(476\) 0.297779 0.413384i 0.0136487 0.0189474i
\(477\) −14.8702 + 12.4188i −0.680859 + 0.568618i
\(478\) −7.06260 −0.323036
\(479\) 17.1627 + 9.90890i 0.784184 + 0.452749i 0.837911 0.545807i \(-0.183777\pi\)
−0.0537268 + 0.998556i \(0.517110\pi\)
\(480\) −6.74097 3.15290i −0.307682 0.143910i
\(481\) 17.0362 11.5080i 0.776782 0.524719i
\(482\) −19.7363 −0.898965
\(483\) −5.54660 3.31084i −0.252379 0.150648i
\(484\) −4.71610 8.16852i −0.214368 0.371297i
\(485\) 51.0904 29.4970i 2.31989 1.33939i
\(486\) −14.1660 + 6.50581i −0.642581 + 0.295109i
\(487\) 25.5536i 1.15794i −0.815348 0.578972i \(-0.803454\pi\)
0.815348 0.578972i \(-0.196546\pi\)
\(488\) −7.02534 + 4.05608i −0.318022 + 0.183610i
\(489\) −13.1247 + 9.16729i −0.593518 + 0.414559i
\(490\) 6.01363 29.4686i 0.271668 1.33126i
\(491\) −4.29900 + 2.48203i −0.194011 + 0.112012i −0.593859 0.804569i \(-0.702396\pi\)
0.399848 + 0.916582i \(0.369063\pi\)
\(492\) 2.03822 1.42365i 0.0918899 0.0641830i
\(493\) 1.66841 0.963258i 0.0751415 0.0433830i
\(494\) −2.66935 + 5.48250i −0.120100 + 0.246669i
\(495\) −44.7197 + 37.3476i −2.01000 + 1.67865i
\(496\) 1.16127 + 2.01138i 0.0521425 + 0.0903135i
\(497\) −12.1454 26.9831i −0.544795 1.21036i
\(498\) −0.618323 7.16329i −0.0277077 0.320995i
\(499\) −7.88549 4.55269i −0.353003 0.203807i 0.313004 0.949752i \(-0.398665\pi\)
−0.666007 + 0.745945i \(0.731998\pi\)
\(500\) 36.3512i 1.62567i
\(501\) −22.4707 + 15.6953i −1.00392 + 0.701215i
\(502\) −2.00148 + 3.46666i −0.0893304 + 0.154725i
\(503\) −5.79205 + 10.0321i −0.258255 + 0.447310i −0.965774 0.259383i \(-0.916481\pi\)
0.707520 + 0.706693i \(0.249814\pi\)
\(504\) 3.46701 7.14002i 0.154433 0.318042i
\(505\) −0.299970 + 0.173188i −0.0133485 + 0.00770675i
\(506\) −5.51803 3.18584i −0.245307 0.141628i
\(507\) 6.57879 21.5341i 0.292174 0.956365i
\(508\) 0.0510484 + 0.0884185i 0.00226491 + 0.00392294i
\(509\) 26.4808i 1.17374i 0.809681 + 0.586871i \(0.199640\pi\)
−0.809681 + 0.586871i \(0.800360\pi\)
\(510\) −1.29805 0.607127i −0.0574786 0.0268840i
\(511\) −31.0687 3.13774i −1.37440 0.138805i
\(512\) 1.00000 0.0441942
\(513\) 6.19227 + 6.23558i 0.273395 + 0.275307i
\(514\) 8.95503 0.394989
\(515\) −22.4527 38.8892i −0.989383 1.71366i
\(516\) −2.54167 + 5.43414i −0.111891 + 0.239225i
\(517\) 39.3384 22.7121i 1.73010 0.998875i
\(518\) 12.2408 + 8.81763i 0.537831 + 0.387425i
\(519\) 12.6192 + 18.0668i 0.553923 + 0.793043i
\(520\) −1.09120 15.4530i −0.0478524 0.677660i
\(521\) 4.04236 + 7.00158i 0.177099 + 0.306745i 0.940886 0.338724i \(-0.109995\pi\)
−0.763787 + 0.645469i \(0.776662\pi\)
\(522\) 23.0369 19.2392i 1.00830 0.842078i
\(523\) 1.34371i 0.0587565i −0.999568 0.0293782i \(-0.990647\pi\)
0.999568 0.0293782i \(-0.00935273\pi\)
\(524\) 0.746067 1.29223i 0.0325921 0.0564512i
\(525\) −61.6773 0.897305i −2.69182 0.0391616i
\(526\) 15.5696 + 8.98910i 0.678866 + 0.391943i
\(527\) 0.223615 + 0.387313i 0.00974084 + 0.0168716i
\(528\) 3.31701 7.09183i 0.144354 0.308632i
\(529\) 21.0130 0.913610
\(530\) −27.7471 −1.20526
\(531\) 1.88601 + 10.8433i 0.0818458 + 0.470560i
\(532\) −4.45192 0.449615i −0.193015 0.0194933i
\(533\) 4.65317 + 2.26556i 0.201551 + 0.0981324i
\(534\) −0.322618 3.73754i −0.0139610 0.161739i
\(535\) −11.5233 + 19.9590i −0.498197 + 0.862903i
\(536\) −4.38012 2.52887i −0.189193 0.109230i
\(537\) −8.65303 4.04722i −0.373406 0.174650i
\(538\) −2.85518 −0.123096
\(539\) 31.0024 + 6.32662i 1.33537 + 0.272507i
\(540\) −21.5446 5.85341i −0.927133 0.251891i
\(541\) −32.4126 18.7134i −1.39353 0.804553i −0.399823 0.916592i \(-0.630928\pi\)
−0.993704 + 0.112039i \(0.964262\pi\)
\(542\) −4.47256 −0.192113
\(543\) −0.589272 6.82673i −0.0252881 0.292963i
\(544\) 0.192561 0.00825599
\(545\) 30.3473 1.29993
\(546\) 16.4969 0.923960i 0.706000 0.0395419i
\(547\) 39.2814 1.67955 0.839775 0.542934i \(-0.182687\pi\)
0.839775 + 0.542934i \(0.182687\pi\)
\(548\) −20.1088 −0.859005
\(549\) −18.6791 + 15.5998i −0.797206 + 0.665785i
\(550\) −60.8442 −2.59440
\(551\) −14.6533 8.46010i −0.624253 0.360413i
\(552\) −0.209966 2.43246i −0.00893673 0.103532i
\(553\) 4.19344 + 9.31646i 0.178323 + 0.396176i
\(554\) 14.8067 0.629078
\(555\) 17.9778 38.4369i 0.763116 1.63156i
\(556\) −14.3239 8.26993i −0.607470 0.350723i
\(557\) −1.89706 + 3.28581i −0.0803811 + 0.139224i −0.903414 0.428770i \(-0.858947\pi\)
0.823033 + 0.567994i \(0.192280\pi\)
\(558\) 4.46628 + 5.34789i 0.189073 + 0.226394i
\(559\) −12.4572 + 0.879658i −0.526885 + 0.0372056i
\(560\) 10.3660 4.66584i 0.438042 0.197168i
\(561\) 0.638727 1.36561i 0.0269671 0.0576562i
\(562\) 3.78960 0.159855
\(563\) 6.67273 0.281222 0.140611 0.990065i \(-0.455093\pi\)
0.140611 + 0.990065i \(0.455093\pi\)
\(564\) 15.7663 + 7.37425i 0.663881 + 0.310512i
\(565\) −27.4455 47.5370i −1.15464 1.99990i
\(566\) 23.9803 + 13.8450i 1.00797 + 0.581950i
\(567\) 6.57666 22.8855i 0.276194 0.961102i
\(568\) 5.59208 9.68576i 0.234638 0.406406i
\(569\) 18.2299i 0.764238i 0.924113 + 0.382119i \(0.124806\pi\)
−0.924113 + 0.382119i \(0.875194\pi\)
\(570\) 1.08237 + 12.5393i 0.0453354 + 0.525212i
\(571\) 22.5493 + 39.0565i 0.943657 + 1.63446i 0.758418 + 0.651769i \(0.225973\pi\)
0.185239 + 0.982693i \(0.440694\pi\)
\(572\) 16.2573 1.14800i 0.679753 0.0480002i
\(573\) −10.2258 + 7.14248i −0.427188 + 0.298381i
\(574\) −0.381603 + 3.77848i −0.0159278 + 0.157711i
\(575\) −16.4319 + 9.48697i −0.685258 + 0.395634i
\(576\) 2.95563 0.514080i 0.123151 0.0214200i
\(577\) 16.5263 + 28.6244i 0.688000 + 1.19165i 0.972484 + 0.232970i \(0.0748444\pi\)
−0.284484 + 0.958681i \(0.591822\pi\)
\(578\) −16.9629 −0.705564
\(579\) 32.2697 + 15.0933i 1.34108 + 0.627254i
\(580\) 42.9859 1.78489
\(581\) 8.91145 + 6.41933i 0.369709 + 0.266319i
\(582\) −10.0757 + 21.5421i −0.417652 + 0.892947i
\(583\) 29.1913i 1.20898i
\(584\) −5.90130 10.2214i −0.244198 0.422963i
\(585\) −11.1693 45.1124i −0.461793 1.86517i
\(586\) 17.6685 + 10.2009i 0.729879 + 0.421396i
\(587\) −26.4828 + 15.2899i −1.09306 + 0.631081i −0.934390 0.356251i \(-0.884055\pi\)
−0.158673 + 0.987331i \(0.550722\pi\)
\(588\) 4.81507 + 11.1272i 0.198570 + 0.458879i
\(589\) 1.96397 3.40169i 0.0809239 0.140164i
\(590\) −7.88143 + 13.6510i −0.324473 + 0.562004i
\(591\) −24.9043 35.6551i −1.02443 1.46666i
\(592\) 5.70199i 0.234350i
\(593\) −14.5119 8.37847i −0.595934 0.344063i 0.171506 0.985183i \(-0.445137\pi\)
−0.767440 + 0.641120i \(0.778470\pi\)
\(594\) 6.15807 22.6660i 0.252669 0.929997i
\(595\) 1.99608 0.898460i 0.0818315 0.0368333i
\(596\) 2.04689 + 3.54532i 0.0838438 + 0.145222i
\(597\) −1.10570 12.8095i −0.0452532 0.524259i
\(598\) 4.21155 2.84492i 0.172223 0.116337i
\(599\) −19.4413 + 11.2245i −0.794352 + 0.458619i −0.841492 0.540269i \(-0.818323\pi\)
0.0471404 + 0.998888i \(0.484989\pi\)
\(600\) −13.3503 19.1135i −0.545025 0.780304i
\(601\) 13.6726 7.89389i 0.557718 0.321999i −0.194511 0.980900i \(-0.562312\pi\)
0.752229 + 0.658902i \(0.228979\pi\)
\(602\) −3.76130 8.35639i −0.153299 0.340581i
\(603\) −14.2460 5.22265i −0.580144 0.212683i
\(604\) 6.54953 3.78138i 0.266497 0.153862i
\(605\) 40.5261i 1.64762i
\(606\) 0.0591581 0.126481i 0.00240313 0.00513794i
\(607\) −6.62940 + 3.82749i −0.269079 + 0.155353i −0.628469 0.777835i \(-0.716318\pi\)
0.359390 + 0.933187i \(0.382985\pi\)
\(608\) −0.845613 1.46464i −0.0342941 0.0593992i
\(609\) −0.666934 + 45.8424i −0.0270255 + 1.85763i
\(610\) −34.8545 −1.41122
\(611\) 2.55219 + 36.1427i 0.103250 + 1.46218i
\(612\) 0.569139 0.0989918i 0.0230061 0.00400151i
\(613\) −30.1489 17.4065i −1.21770 0.703041i −0.253277 0.967394i \(-0.581508\pi\)
−0.964426 + 0.264353i \(0.914842\pi\)
\(614\) 25.5018 1.02917
\(615\) 10.6425 0.918641i 0.429146 0.0370432i
\(616\) 4.90869 + 10.9055i 0.197777 + 0.439395i
\(617\) −12.4947 + 21.6415i −0.503019 + 0.871255i 0.496975 + 0.867765i \(0.334444\pi\)
−0.999994 + 0.00348999i \(0.998889\pi\)
\(618\) 16.3975 + 7.66947i 0.659603 + 0.308511i
\(619\) 1.25318 + 2.17058i 0.0503697 + 0.0872429i 0.890111 0.455744i \(-0.150627\pi\)
−0.839741 + 0.542987i \(0.817293\pi\)
\(620\) 9.97895i 0.400764i
\(621\) −1.87106 7.08149i −0.0750829 0.284170i
\(622\) 8.67002 + 15.0169i 0.347636 + 0.602123i
\(623\) 4.64966 + 3.34937i 0.186285 + 0.134190i
\(624\) 3.92779 + 4.85515i 0.157237 + 0.194362i
\(625\) −44.4414 + 76.9747i −1.77765 + 3.07899i
\(626\) −7.84351 4.52845i −0.313490 0.180993i
\(627\) −13.1919 + 1.13870i −0.526834 + 0.0454755i
\(628\) −4.42840 + 2.55674i −0.176712 + 0.102025i
\(629\) 1.09798i 0.0437794i
\(630\) 28.2393 19.1194i 1.12508 0.761736i
\(631\) 18.3250 + 10.5800i 0.729508 + 0.421182i 0.818242 0.574874i \(-0.194949\pi\)
−0.0887343 + 0.996055i \(0.528282\pi\)
\(632\) −1.93078 + 3.34421i −0.0768023 + 0.133025i
\(633\) −5.16667 7.39705i −0.205357 0.294006i
\(634\) 4.97176 8.61134i 0.197454 0.342000i
\(635\) 0.438666i 0.0174079i
\(636\) 9.17010 6.40512i 0.363618 0.253979i
\(637\) −15.3626 + 20.0248i −0.608688 + 0.793410i
\(638\) 45.2232i 1.79040i
\(639\) 11.5488 31.5023i 0.456865 1.24621i
\(640\) 3.72094 + 2.14828i 0.147083 + 0.0849184i
\(641\) 33.5804i 1.32635i −0.748466 0.663173i \(-0.769209\pi\)
0.748466 0.663173i \(-0.230791\pi\)
\(642\) −0.798984 9.25625i −0.0315334 0.365315i
\(643\) −12.7327 + 22.0537i −0.502129 + 0.869713i 0.497868 + 0.867253i \(0.334116\pi\)
−0.999997 + 0.00246038i \(0.999217\pi\)
\(644\) 3.02608 + 2.17983i 0.119244 + 0.0858972i
\(645\) −21.1315 + 14.7599i −0.832051 + 0.581169i
\(646\) −0.162832 0.282034i −0.00640655 0.0110965i
\(647\) −5.30960 + 9.19649i −0.208742 + 0.361552i −0.951318 0.308210i \(-0.900270\pi\)
0.742577 + 0.669761i \(0.233604\pi\)
\(648\) 8.47144 3.03885i 0.332790 0.119377i
\(649\) −14.3616 8.29165i −0.563740 0.325476i
\(650\) 21.2454 43.6353i 0.833314 1.71152i
\(651\) −10.6421 0.154825i −0.417096 0.00606808i
\(652\) 8.00463 4.62147i 0.313485 0.180991i
\(653\) 8.80038i 0.344385i −0.985063 0.172193i \(-0.944915\pi\)
0.985063 0.172193i \(-0.0550852\pi\)
\(654\) −10.0294 + 7.00533i −0.392181 + 0.273930i
\(655\) 5.55214 3.20553i 0.216940 0.125250i
\(656\) −1.24309 + 0.717699i −0.0485345 + 0.0280214i
\(657\) −22.6966 27.1768i −0.885480 1.06027i
\(658\) −24.2447 + 10.9128i −0.945158 + 0.425426i
\(659\) 5.79064 + 3.34323i 0.225571 + 0.130234i 0.608527 0.793533i \(-0.291761\pi\)
−0.382956 + 0.923767i \(0.625094\pi\)
\(660\) 27.5777 19.2624i 1.07346 0.749787i
\(661\) −24.8847 + 43.1016i −0.967904 + 1.67646i −0.266303 + 0.963889i \(0.585802\pi\)
−0.701601 + 0.712570i \(0.747531\pi\)
\(662\) −23.9748 + 13.8419i −0.931807 + 0.537979i
\(663\) 0.756339 + 0.934914i 0.0293738 + 0.0363090i
\(664\) 4.15111i 0.161094i
\(665\) −15.5994 11.2370i −0.604919 0.435751i
\(666\) 2.93128 + 16.8529i 0.113585 + 0.653038i
\(667\) 7.05132 + 12.2132i 0.273028 + 0.472898i
\(668\) 13.7047 7.91242i 0.530251 0.306141i
\(669\) 7.28156 + 10.4249i 0.281521 + 0.403050i
\(670\) −10.8654 18.8195i −0.419769 0.727061i
\(671\) 36.6686i 1.41558i
\(672\) −2.34878 + 3.93488i −0.0906060 + 0.151791i
\(673\) −22.5838 39.1163i −0.870542 1.50782i −0.861437 0.507864i \(-0.830435\pi\)
−0.00910418 0.999959i \(-0.502898\pi\)
\(674\) −9.67002 −0.372475
\(675\) −49.2844 49.6291i −1.89696 1.91023i
\(676\) −4.85339 + 12.0600i −0.186669 + 0.463848i
\(677\) −10.7942 + 18.6960i −0.414853 + 0.718546i −0.995413 0.0956710i \(-0.969500\pi\)
0.580560 + 0.814217i \(0.302834\pi\)
\(678\) 20.0438 + 9.37494i 0.769777 + 0.360042i
\(679\) −14.9106 33.1265i −0.572216 1.27128i
\(680\) 0.716508 + 0.413676i 0.0274768 + 0.0158638i
\(681\) 3.21738 + 37.2734i 0.123290 + 1.42832i
\(682\) −10.4983 −0.402002
\(683\) 43.5860 1.66777 0.833886 0.551937i \(-0.186111\pi\)
0.833886 + 0.551937i \(0.186111\pi\)
\(684\) −3.25226 3.89423i −0.124353 0.148900i
\(685\) −74.8236 43.1994i −2.85886 1.65056i
\(686\) −17.6823 5.50772i −0.675115 0.210286i
\(687\) 8.11999 17.3607i 0.309797 0.662352i
\(688\) 1.73181 2.99958i 0.0660246 0.114358i
\(689\) 20.9350 + 10.1930i 0.797560 + 0.388321i
\(690\) 4.44434 9.50208i 0.169193 0.361738i
\(691\) −5.40377 −0.205569 −0.102785 0.994704i \(-0.532775\pi\)
−0.102785 + 0.994704i \(0.532775\pi\)
\(692\) −6.36169 11.0188i −0.241835 0.418871i
\(693\) 20.1146 + 29.7091i 0.764089 + 1.12856i
\(694\) 21.2360i 0.806109i
\(695\) −35.5323 61.5438i −1.34782 2.33449i
\(696\) −14.2063 + 9.92281i −0.538490 + 0.376123i
\(697\) −0.239371 + 0.138201i −0.00906682 + 0.00523473i
\(698\) 3.87087 + 6.70454i 0.146515 + 0.253771i
\(699\) −10.7552 5.03044i −0.406798 0.190269i
\(700\) 35.4329 + 3.57850i 1.33924 + 0.135254i
\(701\) 29.7087i 1.12208i −0.827787 0.561042i \(-0.810401\pi\)
0.827787 0.561042i \(-0.189599\pi\)
\(702\) 14.1050 + 12.3308i 0.532359 + 0.465397i
\(703\) 8.35138 4.82167i 0.314978 0.181853i
\(704\) −2.26010 + 3.91461i −0.0851807 + 0.147537i
\(705\) 42.8234 + 61.3096i 1.61282 + 2.30905i
\(706\) 4.13071 + 2.38487i 0.155461 + 0.0897556i
\(707\) 0.0875454 + 0.194497i 0.00329248 + 0.00731482i
\(708\) −0.546468 6.33085i −0.0205375 0.237928i
\(709\) 29.5236 17.0454i 1.10878 0.640155i 0.170268 0.985398i \(-0.445537\pi\)
0.938513 + 0.345243i \(0.112203\pi\)
\(710\) 41.6156 24.0268i 1.56180 0.901708i
\(711\) −3.98747 + 10.8768i −0.149542 + 0.407912i
\(712\) 2.16589i 0.0811702i
\(713\) −2.83524 + 1.63693i −0.106181 + 0.0613034i
\(714\) −0.452283 + 0.757704i −0.0169263 + 0.0283564i
\(715\) 62.9587 + 30.6537i 2.35452 + 1.14638i
\(716\) 4.77637 + 2.75764i 0.178501 + 0.103058i
\(717\) 12.1875 1.05200i 0.455149 0.0392877i
\(718\) −14.0272 + 24.2958i −0.523491 + 0.906713i
\(719\) 13.8089 + 23.9177i 0.514985 + 0.891979i 0.999849 + 0.0173900i \(0.00553570\pi\)
−0.484864 + 0.874589i \(0.661131\pi\)
\(720\) 12.1021 + 4.43667i 0.451018 + 0.165345i
\(721\) −25.2153 + 11.3497i −0.939068 + 0.422685i
\(722\) 8.06988 13.9774i 0.300330 0.520186i
\(723\) 34.0577 2.93980i 1.26662 0.109332i
\(724\) 3.95607i 0.147026i
\(725\) 116.626 + 67.3342i 4.33139 + 2.50073i
\(726\) 9.35499 + 13.3934i 0.347196 + 0.497076i
\(727\) 3.84648i 0.142658i 0.997453 + 0.0713291i \(0.0227241\pi\)
−0.997453 + 0.0713291i \(0.977276\pi\)
\(728\) −9.53506 0.287618i −0.353393 0.0106598i
\(729\) 23.4762 13.3367i 0.869489 0.493952i
\(730\) 50.7107i 1.87689i
\(731\) 0.333479 0.577603i 0.0123342 0.0213634i
\(732\) 11.5190 8.04576i 0.425754 0.297380i
\(733\) 4.54533 7.87274i 0.167886 0.290786i −0.769791 0.638296i \(-0.779639\pi\)
0.937676 + 0.347510i \(0.112973\pi\)
\(734\) 9.24291 + 5.33639i 0.341162 + 0.196970i
\(735\) −5.98785 + 51.7479i −0.220865 + 1.90875i
\(736\) 1.40960i 0.0519586i
\(737\) 19.7990 11.4310i 0.729307 0.421065i
\(738\) −3.30516 + 2.76030i −0.121664 + 0.101608i
\(739\) −15.0189 8.67118i −0.552480 0.318974i 0.197642 0.980274i \(-0.436672\pi\)
−0.750122 + 0.661300i \(0.770005\pi\)
\(740\) −12.2495 + 21.2167i −0.450300 + 0.779943i
\(741\) 3.78968 9.85839i 0.139218 0.362157i
\(742\) −1.71686 + 16.9997i −0.0630280 + 0.624079i
\(743\) 12.2804 + 21.2704i 0.450526 + 0.780334i 0.998419 0.0562149i \(-0.0179032\pi\)
−0.547893 + 0.836549i \(0.684570\pi\)
\(744\) −2.30353 3.29793i −0.0844514 0.120908i
\(745\) 17.5892i 0.644418i
\(746\) 11.4478 + 19.8282i 0.419135 + 0.725963i
\(747\) 2.13400 + 12.2691i 0.0780790 + 0.448903i
\(748\) −0.435207 + 0.753801i −0.0159128 + 0.0275617i
\(749\) 11.5152 + 8.29492i 0.420756 + 0.303090i
\(750\) −5.41465 62.7288i −0.197715 2.29053i
\(751\) 36.4415 1.32977 0.664885 0.746946i \(-0.268481\pi\)
0.664885 + 0.746946i \(0.268481\pi\)
\(752\) −8.70281 5.02457i −0.317359 0.183227i
\(753\) 2.93745 6.28032i 0.107047 0.228868i
\(754\) −32.4325 15.7909i −1.18112 0.575072i
\(755\) 32.4939 1.18257
\(756\) −4.91926 + 12.8375i −0.178912 + 0.466895i
\(757\) −10.7145 18.5581i −0.389427 0.674507i 0.602946 0.797782i \(-0.293993\pi\)
−0.992372 + 0.123275i \(0.960660\pi\)
\(758\) 2.11006 1.21824i 0.0766408 0.0442486i
\(759\) 9.99665 + 4.67566i 0.362855 + 0.169716i
\(760\) 7.26647i 0.263583i
\(761\) 30.0314 17.3386i 1.08864 0.628525i 0.155424 0.987848i \(-0.450326\pi\)
0.933213 + 0.359323i \(0.116992\pi\)
\(762\) −0.101261 0.144974i −0.00366831 0.00525186i
\(763\) 1.87775 18.5927i 0.0679790 0.673102i
\(764\) 6.23661 3.60071i 0.225633 0.130269i
\(765\) 2.33039 + 0.854330i 0.0842555 + 0.0308884i
\(766\) 12.3614 7.13684i 0.446635 0.257865i
\(767\) 10.9612 7.40434i 0.395786 0.267355i
\(768\) −1.72563 + 0.148954i −0.0622685 + 0.00537491i
\(769\) −0.987858 1.71102i −0.0356231 0.0617010i 0.847664 0.530533i \(-0.178008\pi\)
−0.883287 + 0.468832i \(0.844675\pi\)
\(770\) −5.16319 + 51.1240i −0.186069 + 1.84238i
\(771\) −15.4531 + 1.33389i −0.556530 + 0.0480388i
\(772\) −17.8125 10.2840i −0.641085 0.370131i
\(773\) 2.30696i 0.0829757i 0.999139 + 0.0414879i \(0.0132098\pi\)
−0.999139 + 0.0414879i \(0.986790\pi\)
\(774\) 3.57656