Properties

Label 546.2.bi.e.17.5
Level $546$
Weight $2$
Character 546.17
Analytic conductor $4.360$
Analytic rank $0$
Dimension $34$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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 17.5
Character \(\chi\) \(=\) 546.17
Dual form 546.2.bi.e.257.5

$q$-expansion

\(f(q)\) \(=\) \(q-1.00000 q^{2} +(-0.733819 + 1.56892i) q^{3} +1.00000 q^{4} +(-3.72094 + 2.14828i) q^{5} +(0.733819 - 1.56892i) q^{6} +(1.54641 + 2.14677i) q^{7} -1.00000 q^{8} +(-1.92302 - 2.30261i) q^{9} +O(q^{10})\) \(q-1.00000 q^{2} +(-0.733819 + 1.56892i) q^{3} +1.00000 q^{4} +(-3.72094 + 2.14828i) q^{5} +(0.733819 - 1.56892i) q^{6} +(1.54641 + 2.14677i) q^{7} -1.00000 q^{8} +(-1.92302 - 2.30261i) q^{9} +(3.72094 - 2.14828i) q^{10} +(2.26010 + 3.91461i) q^{11} +(-0.733819 + 1.56892i) q^{12} +(-2.01824 + 2.98776i) q^{13} +(-1.54641 - 2.14677i) q^{14} +(-0.639991 - 7.41431i) q^{15} +1.00000 q^{16} -0.192561 q^{17} +(1.92302 + 2.30261i) q^{18} +(-0.845613 + 1.46464i) q^{19} +(-3.72094 + 2.14828i) q^{20} +(-4.50289 + 0.850863i) q^{21} +(-2.26010 - 3.91461i) q^{22} +1.40960i q^{23} +(0.733819 - 1.56892i) 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} +(0.639991 + 7.41431i) q^{30} +(1.16127 - 2.01138i) q^{31} -1.00000 q^{32} +(-7.80021 + 0.673301i) q^{33} +0.192561 q^{34} +(-10.3660 - 4.66584i) q^{35} +(-1.92302 - 2.30261i) q^{36} -5.70199i q^{37} +(0.845613 - 1.46464i) q^{38} +(-3.20653 - 5.35894i) q^{39} +(3.72094 - 2.14828i) q^{40} +(1.24309 + 0.717699i) q^{41} +(4.50289 - 0.850863i) 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} +(-0.733819 + 1.56892i) q^{48} +(-2.21720 + 6.63958i) q^{49} +(-6.73025 + 11.6571i) q^{50} +(0.141305 - 0.302113i) 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} +(-0.639991 - 7.41431i) q^{60} +(-7.02534 - 4.05608i) q^{61} +(-1.16127 + 2.01138i) q^{62} +(1.96937 - 7.68906i) q^{63} +1.00000 q^{64} +(1.09120 - 15.4530i) q^{65} +(7.80021 - 0.673301i) q^{66} +(-4.38012 + 2.52887i) q^{67} -0.192561 q^{68} +(-2.21155 - 1.03439i) q^{69} +(10.3660 + 4.66584i) q^{70} +(-5.59208 - 9.68576i) q^{71} +(1.92302 + 2.30261i) 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} +(3.20653 + 5.35894i) q^{78} +(-1.93078 - 3.34421i) q^{79} +(-3.72094 + 2.14828i) q^{80} +(-1.60400 + 8.85591i) q^{81} +(-1.24309 - 0.717699i) q^{82} +4.15111i q^{83} +(-4.50289 + 0.850863i) 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} +(0.733819 - 1.56892i) q^{96} +(6.86525 + 11.8910i) q^{97} +(2.21720 - 6.63958i) q^{98} +(4.66759 - 12.7320i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q - 34q^{2} + 3q^{3} + 34q^{4} - 9q^{5} - 3q^{6} + 4q^{7} - 34q^{8} - 11q^{9} + O(q^{10}) \) \( 34q - 34q^{2} + 3q^{3} + 34q^{4} - 9q^{5} - 3q^{6} + 4q^{7} - 34q^{8} - 11q^{9} + 9q^{10} - 9q^{11} + 3q^{12} + 8q^{13} - 4q^{14} - 4q^{15} + 34q^{16} - 12q^{17} + 11q^{18} - 5q^{19} - 9q^{20} + 4q^{21} + 9q^{22} - 3q^{24} + 16q^{25} - 8q^{26} + 18q^{27} + 4q^{28} - 27q^{29} + 4q^{30} - q^{31} - 34q^{32} + 21q^{33} + 12q^{34} + 3q^{35} - 11q^{36} + 5q^{38} + 7q^{39} + 9q^{40} + 3q^{41} - 4q^{42} - 3q^{43} - 9q^{44} + 9q^{45} + 27q^{47} + 3q^{48} - 2q^{49} - 16q^{50} + 24q^{51} + 8q^{52} + 21q^{53} - 18q^{54} - 57q^{55} - 4q^{56} + 17q^{57} + 27q^{58} - 4q^{60} - 51q^{61} + q^{62} + 3q^{63} + 34q^{64} + 21q^{65} - 21q^{66} - 21q^{67} - 12q^{68} + 42q^{69} - 3q^{70} + 15q^{71} + 11q^{72} - 19q^{73} + 54q^{75} - 5q^{76} - 9q^{77} - 7q^{78} - 9q^{79} - 9q^{80} - 23q^{81} - 3q^{82} + 4q^{84} - 42q^{85} + 3q^{86} + 81q^{87} + 9q^{88} - 9q^{90} - 72q^{91} + 17q^{93} - 27q^{94} - 3q^{96} + 19q^{97} + 2q^{98} + 27q^{99} + O(q^{100}) \)

Character values

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

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

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
\(3\) −0.733819 + 1.56892i −0.423671 + 0.905816i
\(4\) 1.00000 0.500000
\(5\) −3.72094 + 2.14828i −1.66405 + 0.960742i −0.693306 + 0.720644i \(0.743846\pi\)
−0.970749 + 0.240098i \(0.922820\pi\)
\(6\) 0.733819 1.56892i 0.299580 0.640509i
\(7\) 1.54641 + 2.14677i 0.584490 + 0.811401i
\(8\) −1.00000 −0.353553
\(9\) −1.92302 2.30261i −0.641006 0.767536i
\(10\) 3.72094 2.14828i 1.17666 0.679347i
\(11\) 2.26010 + 3.91461i 0.681446 + 1.18030i 0.974540 + 0.224215i \(0.0719817\pi\)
−0.293094 + 0.956084i \(0.594685\pi\)
\(12\) −0.733819 + 1.56892i −0.211835 + 0.452908i
\(13\) −2.01824 + 2.98776i −0.559760 + 0.828655i
\(14\) −1.54641 2.14677i −0.413297 0.573747i
\(15\) −0.639991 7.41431i −0.165245 1.91437i
\(16\) 1.00000 0.250000
\(17\) −0.192561 −0.0467030 −0.0233515 0.999727i \(-0.507434\pi\)
−0.0233515 + 0.999727i \(0.507434\pi\)
\(18\) 1.92302 + 2.30261i 0.453260 + 0.542730i
\(19\) −0.845613 + 1.46464i −0.193997 + 0.336013i −0.946571 0.322495i \(-0.895479\pi\)
0.752574 + 0.658507i \(0.228812\pi\)
\(20\) −3.72094 + 2.14828i −0.832027 + 0.480371i
\(21\) −4.50289 + 0.850863i −0.982612 + 0.185673i
\(22\) −2.26010 3.91461i −0.481855 0.834597i
\(23\) 1.40960i 0.293922i 0.989142 + 0.146961i \(0.0469492\pi\)
−0.989142 + 0.146961i \(0.953051\pi\)
\(24\) 0.733819 1.56892i 0.149790 0.320254i
\(25\) 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 −0.989611 0.143769i \(-0.954078\pi\)
−0.619313 0.785144i \(-0.712589\pi\)
\(30\) 0.639991 + 7.41431i 0.116846 + 1.35366i
\(31\) 1.16127 2.01138i 0.208570 0.361254i −0.742694 0.669631i \(-0.766452\pi\)
0.951264 + 0.308377i \(0.0997857\pi\)
\(32\) −1.00000 −0.176777
\(33\) −7.80021 + 0.673301i −1.35784 + 0.117207i
\(34\) 0.192561 0.0330240
\(35\) −10.3660 4.66584i −1.75217 0.788671i
\(36\) −1.92302 2.30261i −0.320503 0.383768i
\(37\) 5.70199i 0.937401i −0.883357 0.468700i \(-0.844722\pi\)
0.883357 0.468700i \(-0.155278\pi\)
\(38\) 0.845613 1.46464i 0.137177 0.237597i
\(39\) −3.20653 5.35894i −0.513455 0.858116i
\(40\) 3.72094 2.14828i 0.588332 0.339674i
\(41\) 1.24309 + 0.717699i 0.194138 + 0.112086i 0.593918 0.804525i \(-0.297580\pi\)
−0.399780 + 0.916611i \(0.630914\pi\)
\(42\) 4.50289 0.850863i 0.694811 0.131291i
\(43\) 1.73181 + 2.99958i 0.264099 + 0.457432i 0.967327 0.253532i \(-0.0815923\pi\)
−0.703229 + 0.710964i \(0.748259\pi\)
\(44\) 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 \(-0.404829\pi\)
0.974881 + 0.222726i \(0.0714956\pi\)
\(48\) −0.733819 + 1.56892i −0.105918 + 0.226454i
\(49\) −2.21720 + 6.63958i −0.316743 + 0.948511i
\(50\) −6.73025 + 11.6571i −0.951802 + 1.64857i
\(51\) 0.141305 0.302113i 0.0197867 0.0423043i
\(52\) −2.01824 + 2.98776i −0.279880 + 0.414327i
\(53\) 5.59277 + 3.22899i 0.768226 + 0.443536i 0.832241 0.554413i \(-0.187057\pi\)
−0.0640153 + 0.997949i \(0.520391\pi\)
\(54\) −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 \(0.923242\pi\)
\(60\) −0.639991 7.41431i −0.0826224 0.957183i
\(61\) −7.02534 4.05608i −0.899503 0.519328i −0.0224638 0.999748i \(-0.507151\pi\)
−0.877039 + 0.480420i \(0.840484\pi\)
\(62\) −1.16127 + 2.01138i −0.147481 + 0.255445i
\(63\) 1.96937 7.68906i 0.248118 0.968730i
\(64\) 1.00000 0.125000
\(65\) 1.09120 15.4530i 0.135347 1.91671i
\(66\) 7.80021 0.673301i 0.960139 0.0828776i
\(67\) −4.38012 + 2.52887i −0.535117 + 0.308950i −0.743098 0.669183i \(-0.766644\pi\)
0.207980 + 0.978133i \(0.433311\pi\)
\(68\) −0.192561 −0.0233515
\(69\) −2.21155 1.03439i −0.266239 0.124526i
\(70\) 10.3660 + 4.66584i 1.23897 + 0.557675i
\(71\) −5.59208 9.68576i −0.663658 1.14949i −0.979647 0.200726i \(-0.935670\pi\)
0.315990 0.948763i \(-0.397663\pi\)
\(72\) 1.92302 + 2.30261i 0.226630 + 0.271365i
\(73\) −5.90130 + 10.2214i −0.690695 + 1.19632i 0.280915 + 0.959733i \(0.409362\pi\)
−0.971610 + 0.236586i \(0.923971\pi\)
\(74\) 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
\(78\) 3.20653 + 5.35894i 0.363068 + 0.606780i
\(79\) −1.93078 3.34421i −0.217230 0.376253i 0.736730 0.676187i \(-0.236369\pi\)
−0.953960 + 0.299934i \(0.903035\pi\)
\(80\) −3.72094 + 2.14828i −0.416014 + 0.240186i
\(81\) −1.60400 + 8.85591i −0.178222 + 0.983990i
\(82\) −1.24309 0.717699i −0.137276 0.0792566i
\(83\) 4.15111i 0.455643i 0.973703 + 0.227822i \(0.0731603\pi\)
−0.973703 + 0.227822i \(0.926840\pi\)
\(84\) −4.50289 + 0.850863i −0.491306 + 0.0928367i
\(85\) 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
\(96\) 0.733819 1.56892i 0.0748951 0.160127i
\(97\) 6.86525 + 11.8910i 0.697061 + 1.20735i 0.969481 + 0.245167i \(0.0788427\pi\)
−0.272420 + 0.962178i \(0.587824\pi\)
\(98\) 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 \(-0.165390\pi\)
−0.864013 + 0.503469i \(0.832057\pi\)
\(102\) −0.141305 + 0.302113i −0.0139913 + 0.0299137i
\(103\) −9.05121 + 5.22572i −0.891842 + 0.514905i −0.874545 0.484945i \(-0.838840\pi\)
−0.0172977 + 0.999850i \(0.505506\pi\)
\(104\) 2.01824 2.98776i 0.197905 0.292974i
\(105\) 14.9271 12.8395i 1.45673 1.25301i
\(106\) −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 0.763470 0.645843i \(-0.223494\pi\)
−0.177581 + 0.984106i \(0.556827\pi\)
\(110\) 16.8194 + 9.71067i 1.60367 + 0.925876i
\(111\) 8.94596 + 4.18423i 0.849113 + 0.397149i
\(112\) 1.54641 + 2.14677i 0.146122 + 0.202850i
\(113\) 11.0639 6.38777i 1.04081 0.600911i 0.120746 0.992683i \(-0.461471\pi\)
0.920062 + 0.391773i \(0.128138\pi\)
\(114\) 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
\(117\) 10.7608 1.09829i 0.994832 0.101537i
\(118\) 3.66871i 0.337732i
\(119\) −0.297779 0.413384i −0.0272974 0.0378948i
\(120\) 0.639991 + 7.41431i 0.0584229 + 0.676830i
\(121\) −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
\(126\) −1.96937 + 7.68906i −0.175446 + 0.684995i
\(127\) 0.0510484 0.0884185i 0.00452982 0.00784587i −0.863752 0.503918i \(-0.831891\pi\)
0.868281 + 0.496072i \(0.165225\pi\)
\(128\) −1.00000 −0.0883883
\(129\) −5.97694 + 0.515920i −0.526240 + 0.0454242i
\(130\) −1.09120 + 15.4530i −0.0957048 + 1.35532i
\(131\) −0.746067 1.29223i −0.0651842 0.112902i 0.831591 0.555388i \(-0.187430\pi\)
−0.896776 + 0.442485i \(0.854097\pi\)
\(132\) −7.80021 + 0.673301i −0.678921 + 0.0586033i
\(133\) −4.45192 + 0.449615i −0.386030 + 0.0389866i
\(134\) 4.38012 2.52887i 0.378385 0.218461i
\(135\) −15.8415 + 15.7315i −1.36342 + 1.35395i
\(136\) 0.192561 0.0165120
\(137\) 20.1088 1.71801 0.859005 0.511967i \(-0.171083\pi\)
0.859005 + 0.511967i \(0.171083\pi\)
\(138\) 2.21155 + 1.03439i 0.188260 + 0.0880533i
\(139\) −14.3239 + 8.26993i −1.21494 + 0.701446i −0.963831 0.266513i \(-0.914129\pi\)
−0.251109 + 0.967959i \(0.580795\pi\)
\(140\) −10.3660 4.66584i −0.876085 0.394336i
\(141\) 1.49686 + 17.3411i 0.126058 + 1.46039i
\(142\) 5.59208 + 9.68576i 0.469277 + 0.812811i
\(143\) −16.2573 1.14800i −1.35951 0.0960004i
\(144\) −1.92302 2.30261i −0.160252 0.191884i
\(145\) 42.9859 3.56978
\(146\) 5.90130 10.2214i 0.488395 0.845925i
\(147\) −8.78994 8.35087i −0.724982 0.688768i
\(148\) 5.70199i 0.468700i
\(149\) −2.04689 + 3.54532i −0.167688 + 0.290444i −0.937606 0.347698i \(-0.886963\pi\)
0.769919 + 0.638142i \(0.220297\pi\)
\(150\) −13.3503 19.1135i −1.09005 1.56061i
\(151\) 6.54953 + 3.78138i 0.532994 + 0.307724i 0.742235 0.670140i \(-0.233766\pi\)
−0.209241 + 0.977864i \(0.567099\pi\)
\(152\) 0.845613 1.46464i 0.0685883 0.118798i
\(153\) 0.370299 + 0.443393i 0.0299369 + 0.0358462i
\(154\) 4.90869 10.9055i 0.395554 0.878791i
\(155\) 9.97895i 0.801528i
\(156\) −3.20653 5.35894i −0.256728 0.429058i
\(157\) −4.42840 2.55674i −0.353425 0.204050i 0.312768 0.949830i \(-0.398744\pi\)
−0.666193 + 0.745780i \(0.732077\pi\)
\(158\) 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
\(162\) 1.60400 8.85591i 0.126022 0.695786i
\(163\) 8.00463 + 4.62147i 0.626971 + 0.361982i 0.779578 0.626305i \(-0.215434\pi\)
−0.152607 + 0.988287i \(0.548767\pi\)
\(164\) 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 \(-0.543081\pi\)
−0.925571 + 0.378574i \(0.876415\pi\)
\(168\) 4.50289 0.850863i 0.347406 0.0656455i
\(169\) −4.85339 12.0600i −0.373338 0.927695i
\(170\) −0.716508 + 0.413676i −0.0549537 + 0.0317275i
\(171\) 4.99863 0.869425i 0.382255 0.0664866i
\(172\) 1.73181 + 2.99958i 0.132049 + 0.228716i
\(173\) 6.36169 11.0188i 0.483670 0.837741i −0.516154 0.856496i \(-0.672637\pi\)
0.999824 + 0.0187546i \(0.00597013\pi\)
\(174\) −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
\(177\) −5.75591 2.69217i −0.432641 0.202356i
\(178\) 2.16589i 0.162340i
\(179\) −4.77637 + 2.75764i −0.357003 + 0.206116i −0.667765 0.744372i \(-0.732749\pi\)
0.310762 + 0.950488i \(0.399416\pi\)
\(180\) 12.1021 + 4.43667i 0.902036 + 0.330690i
\(181\) 3.95607i 0.294053i −0.989133 0.147026i \(-0.953030\pi\)
0.989133 0.147026i \(-0.0469702\pi\)
\(182\) 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
\(189\) 10.6183 + 8.73216i 0.772371 + 0.635171i
\(190\) 7.26647i 0.527165i
\(191\) −6.23661 3.60071i −0.451266 0.260538i 0.257099 0.966385i \(-0.417233\pi\)
−0.708365 + 0.705847i \(0.750567\pi\)
\(192\) −0.733819 + 1.56892i −0.0529588 + 0.113227i
\(193\) −17.8125 + 10.2840i −1.28217 + 0.740262i −0.977245 0.212114i \(-0.931965\pi\)
−0.304926 + 0.952376i \(0.598632\pi\)
\(194\) −6.86525 11.8910i −0.492897 0.853722i
\(195\) 23.4438 + 13.0517i 1.67885 + 0.934654i
\(196\) −2.21720 + 6.63958i −0.158372 + 0.474256i
\(197\) −12.5549 + 21.7458i −0.894501 + 1.54932i −0.0600807 + 0.998194i \(0.519136\pi\)
−0.834421 + 0.551128i \(0.814198\pi\)
\(198\) −4.66759 + 12.7320i −0.331711 + 0.904823i
\(199\) 7.42309i 0.526209i −0.964767 0.263104i \(-0.915254\pi\)
0.964767 0.263104i \(-0.0847463\pi\)
\(200\) −6.73025 + 11.6571i −0.475901 + 0.824284i
\(201\) −0.753369 8.72779i −0.0531385 0.615611i
\(202\) −0.0403083 0.0698161i −0.00283608 0.00491224i
\(203\) −2.65976 26.3360i −0.186679 1.84842i
\(204\) 0.141305 0.302113i 0.00989334 0.0211521i
\(205\) −6.16728 −0.430742
\(206\) 9.05121 5.22572i 0.630628 0.364093i
\(207\) 3.24576 2.71069i 0.225596 0.188406i
\(208\) −2.01824 + 2.98776i −0.139940 + 0.207164i
\(209\) −7.64468 −0.528794
\(210\) −14.9271 + 12.8395i −1.03007 + 0.886010i
\(211\) 2.60466 4.51140i 0.179312 0.310577i −0.762333 0.647185i \(-0.775946\pi\)
0.941645 + 0.336607i \(0.109280\pi\)
\(212\) 5.59277 + 3.22899i 0.384113 + 0.221768i
\(213\) 19.2998 1.66592i 1.32240 0.114147i
\(214\) 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
\(222\) −8.94596 4.18423i −0.600413 0.280827i
\(223\) −3.67083 + 6.35806i −0.245817 + 0.425767i −0.962361 0.271775i \(-0.912389\pi\)
0.716544 + 0.697542i \(0.245723\pi\)
\(224\) −1.54641 2.14677i −0.103324 0.143437i
\(225\) −39.7842 + 6.91977i −2.65228 + 0.461318i
\(226\) −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 0.623263 0.782012i \(-0.285806\pi\)
−0.988874 + 0.148756i \(0.952473\pi\)
\(230\) 3.02822 + 5.24504i 0.199675 + 0.345848i
\(231\) −13.5078 15.7040i −0.888746 1.03325i
\(232\) 8.66432 + 5.00235i 0.568841 + 0.328420i
\(233\) −5.93673 + 3.42758i −0.388928 + 0.224548i −0.681696 0.731636i \(-0.738757\pi\)
0.292767 + 0.956184i \(0.405424\pi\)
\(234\) −10.7608 + 1.09829i −0.703452 + 0.0717978i
\(235\) −21.5884 + 37.3922i −1.40827 + 2.43920i
\(236\) 3.66871i 0.238813i
\(237\) 6.66364 0.575194i 0.432850 0.0373629i
\(238\) 0.297779 + 0.413384i 0.0193022 + 0.0267957i
\(239\) 7.06260 0.456841 0.228421 0.973563i \(-0.426644\pi\)
0.228421 + 0.973563i \(0.426644\pi\)
\(240\) −0.639991 7.41431i −0.0413112 0.478591i
\(241\) −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
\(243\) −12.7172 9.01518i −0.815807 0.578324i
\(244\) −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
\(249\) −6.51275 3.04616i −0.412729 0.193043i
\(250\) 36.3512i 2.29905i
\(251\) 2.00148 + 3.46666i 0.126332 + 0.218814i 0.922253 0.386587i \(-0.126346\pi\)
−0.795921 + 0.605401i \(0.793013\pi\)
\(252\) 1.96937 7.68906i 0.124059 0.484365i
\(253\) −5.51803 + 3.18584i −0.346916 + 0.200292i
\(254\) −0.0510484 + 0.0884185i −0.00320306 + 0.00554787i
\(255\) 0.123237 + 1.42771i 0.00771742 + 0.0894065i
\(256\) 1.00000 0.0625000
\(257\) −8.95503 −0.558599 −0.279300 0.960204i \(-0.590102\pi\)
−0.279300 + 0.960204i \(0.590102\pi\)
\(258\) 5.97694 0.515920i 0.372108 0.0321197i
\(259\) 12.2408 8.81763i 0.760608 0.547901i
\(260\) 1.09120 15.4530i 0.0676735 0.958356i
\(261\) 5.14321 + 29.5701i 0.318357 + 1.83035i
\(262\) 0.746067 + 1.29223i 0.0460922 + 0.0798340i
\(263\) −15.5696 + 8.98910i −0.960061 + 0.554291i −0.896192 0.443667i \(-0.853677\pi\)
−0.0638691 + 0.997958i \(0.520344\pi\)
\(264\) 7.80021 0.673301i 0.480070 0.0414388i
\(265\) −27.7471 −1.70449
\(266\) 4.45192 0.449615i 0.272965 0.0275677i
\(267\) −3.39811 1.58937i −0.207961 0.0972681i
\(268\) −4.38012 + 2.52887i −0.267559 + 0.154475i
\(269\) 2.85518 0.174083 0.0870417 0.996205i \(-0.472259\pi\)
0.0870417 + 0.996205i \(0.472259\pi\)
\(270\) 15.8415 15.7315i 0.964084 0.957388i
\(271\) −4.47256 −0.271689 −0.135844 0.990730i \(-0.543375\pi\)
−0.135844 + 0.990730i \(0.543375\pi\)
\(272\) −0.192561 −0.0116757
\(273\) 6.54576 15.1708i 0.396167 0.918178i
\(274\) −20.1088 −1.21482
\(275\) 60.8442 3.66904
\(276\) −2.21155 1.03439i −0.133120 0.0622631i
\(277\) 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
\(279\) −6.86455 + 1.19397i −0.410970 + 0.0714811i
\(280\) 10.3660 + 4.66584i 0.619486 + 0.278837i
\(281\) −3.78960 −0.226069 −0.113034 0.993591i \(-0.536057\pi\)
−0.113034 + 0.993591i \(0.536057\pi\)
\(282\) −1.49686 17.3411i −0.0891366 1.03265i
\(283\) 23.9803 13.8450i 1.42548 0.823002i 0.428722 0.903437i \(-0.358964\pi\)
0.996760 + 0.0804346i \(0.0256308\pi\)
\(284\) −5.59208 9.68576i −0.331829 0.574744i
\(285\) 11.4005 + 5.33228i 0.675308 + 0.315857i
\(286\) 16.2573 + 1.14800i 0.961316 + 0.0678826i
\(287\) 0.381603 + 3.77848i 0.0225253 + 0.223037i
\(288\) 1.92302 + 2.30261i 0.113315 + 0.135682i
\(289\) −16.9629 −0.997819
\(290\) −42.9859 −2.52422
\(291\) −23.6938 + 2.04521i −1.38896 + 0.119892i
\(292\) −5.90130 + 10.2214i −0.345348 + 0.598160i
\(293\) −17.6685 + 10.2009i −1.03221 + 0.595944i −0.917616 0.397469i \(-0.869889\pi\)
−0.114590 + 0.993413i \(0.536555\pi\)
\(294\) 8.78994 + 8.35087i 0.512640 + 0.487032i
\(295\) −7.88143 13.6510i −0.458875 0.794794i
\(296\) 5.70199i 0.331421i
\(297\) 16.5503 + 16.6660i 0.960346 + 0.967062i
\(298\) 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
\(303\) −0.139115 + 0.0120082i −0.00799194 + 0.000689851i
\(304\) −0.845613 + 1.46464i −0.0484992 + 0.0840031i
\(305\) 34.8545 1.99576
\(306\) −0.370299 0.443393i −0.0211686 0.0253471i
\(307\) 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
\(309\) −1.55678 18.0354i −0.0885623 1.02600i
\(310\) 9.97895i 0.566766i
\(311\) −8.67002 + 15.0169i −0.491632 + 0.851531i −0.999954 0.00963600i \(-0.996933\pi\)
0.508322 + 0.861167i \(0.330266\pi\)
\(312\) 3.20653 + 5.35894i 0.181534 + 0.303390i
\(313\) −7.84351 + 4.52845i −0.443341 + 0.255963i −0.705014 0.709194i \(-0.749059\pi\)
0.261673 + 0.965157i \(0.415726\pi\)
\(314\) 4.42840 + 2.55674i 0.249909 + 0.144285i
\(315\) 9.19037 + 32.8413i 0.517818 + 1.85040i
\(316\) −1.93078 3.34421i −0.108615 0.188126i
\(317\) −4.97176 8.61134i −0.279242 0.483661i 0.691955 0.721941i \(-0.256750\pi\)
−0.971197 + 0.238280i \(0.923416\pi\)
\(318\) 9.17010 6.40512i 0.514234 0.359181i
\(319\) 45.2232i 2.53201i
\(320\) −3.72094 + 2.14828i −0.208007 + 0.120093i
\(321\) −8.41564 3.93619i −0.469715 0.219696i
\(322\) 3.02608 2.17983i 0.168637 0.121477i
\(323\) 0.162832 0.282034i 0.00906023 0.0156928i
\(324\) −1.60400 + 8.85591i −0.0891109 + 0.491995i
\(325\) 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 −0.334404 0.942430i \(-0.608535\pi\)
−0.983370 + 0.181613i \(0.941868\pi\)
\(332\) 4.15111i 0.227822i
\(333\) −13.1294 + 10.9650i −0.719488 + 0.600880i
\(334\) 13.7047 + 7.91242i 0.749888 + 0.432948i
\(335\) 10.8654 18.8195i 0.593643 1.02822i
\(336\) −4.50289 + 0.850863i −0.245653 + 0.0464184i
\(337\) −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
\(339\) 1.90297 + 22.0459i 0.103355 + 1.19737i
\(340\) 0.716508 0.413676i 0.0388581 0.0224347i
\(341\) 10.4983 0.568517
\(342\) −4.99863 + 0.869425i −0.270295 + 0.0470131i
\(343\) −17.6823 + 5.50772i −0.954756 + 0.297389i
\(344\) −1.73181 2.99958i −0.0933729 0.161727i
\(345\) 10.4512 0.902131i 0.562674 0.0485691i
\(346\) −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 −0.743630 0.668592i \(-0.766897\pi\)
0.950832 + 0.309706i \(0.100231\pi\)
\(350\) −35.4329 + 3.57850i −1.89397 + 0.191279i
\(351\) −6.17331 + 17.6887i −0.329507 + 0.944153i
\(352\) −2.26010 3.91461i −0.120464 0.208649i
\(353\) −4.13071 + 2.38487i −0.219855 + 0.126934i −0.605883 0.795554i \(-0.707180\pi\)
0.386028 + 0.922487i \(0.373847\pi\)
\(354\) 5.75591 + 2.69217i 0.305923 + 0.143087i
\(355\) 41.6156 + 24.0268i 2.20872 + 1.27521i
\(356\) 2.16589i 0.114792i
\(357\) 0.867082 0.163843i 0.0458909 0.00867150i
\(358\) 4.77637 2.75764i 0.252439 0.145746i
\(359\) 14.0272 + 24.2958i 0.740328 + 1.28229i 0.952346 + 0.305020i \(0.0986630\pi\)
−0.212018 + 0.977266i \(0.568004\pi\)
\(360\) −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 −0.238972 0.971026i \(-0.576810\pi\)
0.721448 + 0.692469i \(0.243477\pi\)
\(368\) 1.40960i 0.0734805i
\(369\) −0.737909 4.24250i −0.0384140 0.220856i
\(370\) −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 −0.401115 0.916028i \(-0.631377\pi\)
0.993861 0.110638i \(-0.0352895\pi\)
\(374\) 0.435207 + 0.753801i 0.0225040 + 0.0389781i
\(375\) −57.0321 26.6752i −2.94512 1.37750i
\(376\) −8.70281 + 5.02457i −0.448813 + 0.259122i
\(377\) 32.4325 15.7909i 1.67036 0.813275i
\(378\) −10.6183 8.73216i −0.546149 0.449134i
\(379\) 2.11006 + 1.21824i 0.108387 + 0.0625770i 0.553213 0.833040i \(-0.313401\pi\)
−0.444827 + 0.895617i \(0.646735\pi\)
\(380\) 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 \(-0.452153\pi\)
−0.781386 + 0.624048i \(0.785487\pi\)
\(384\) 0.733819 1.56892i 0.0374476 0.0800636i
\(385\) −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 \(-0.264039\pi\)
−0.301156 + 0.953575i \(0.597372\pi\)
\(390\) −23.4438 13.0517i −1.18712 0.660900i
\(391\) 0.271434i 0.0137270i
\(392\) 2.21720 6.63958i 0.111986 0.335349i
\(393\) 2.57488 0.222259i 0.129885 0.0112115i
\(394\) 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 −0.983704 0.179796i \(-0.942456\pi\)
0.647560 + 0.762015i \(0.275790\pi\)
\(398\) 7.42309i 0.372086i
\(399\) 2.56149 7.31464i 0.128235 0.366190i
\(400\) 6.73025 11.6571i 0.336513 0.582857i
\(401\) −14.8495 −0.741550 −0.370775 0.928723i \(-0.620908\pi\)
−0.370775 + 0.928723i \(0.620908\pi\)
\(402\) 0.753369 + 8.72779i 0.0375746 + 0.435303i
\(403\) 3.66578 + 7.52904i 0.182606 + 0.375048i
\(404\) 0.0403083 + 0.0698161i 0.00200541 + 0.00347348i
\(405\) −13.0566 36.3981i −0.648790 1.80864i
\(406\) 2.65976 + 26.3360i 0.132002 + 1.30703i
\(407\) 22.3210 12.8871i 1.10641 0.638788i
\(408\) −0.141305 + 0.302113i −0.00699564 + 0.0149568i
\(409\) 18.4860 0.914074 0.457037 0.889448i \(-0.348911\pi\)
0.457037 + 0.889448i \(0.348911\pi\)
\(410\) 6.16728 0.304580
\(411\) −14.7562 + 31.5491i −0.727871 + 1.55620i
\(412\) −9.05121 + 5.22572i −0.445921 + 0.257453i
\(413\) −7.87586 + 5.67334i −0.387546 + 0.279167i
\(414\) −3.24576 + 2.71069i −0.159520 + 0.133223i
\(415\) −8.91776 15.4460i −0.437756 0.758215i
\(416\) 2.01824 2.98776i 0.0989525 0.146487i
\(417\) −2.46368 28.5417i −0.120647 1.39770i
\(418\) 7.64468 0.373913
\(419\) −11.7502 + 20.3519i −0.574035 + 0.994257i 0.422111 + 0.906544i \(0.361289\pi\)
−0.996146 + 0.0877131i \(0.972044\pi\)
\(420\) 14.9271 12.8395i 0.728367 0.626503i
\(421\) 7.74237i 0.377340i 0.982041 + 0.188670i \(0.0604176\pi\)
−0.982041 + 0.188670i \(0.939582\pi\)
\(422\) −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
\(426\) −19.2998 + 1.66592i −0.935076 + 0.0807143i
\(427\) −2.15663 21.3541i −0.104367 1.03340i
\(428\) 5.36397i 0.259277i
\(429\) 13.7311 24.6640i 0.662942 1.19079i
\(430\) 12.8879 + 7.44084i 0.621510 + 0.358829i
\(431\) 9.13932 + 15.8298i 0.440225 + 0.762493i 0.997706 0.0676972i \(-0.0215652\pi\)
−0.557480 + 0.830190i \(0.688232\pi\)
\(432\) 5.02375 1.32737i 0.241705 0.0638629i
\(433\) 28.5068 16.4584i 1.36995 0.790940i 0.379028 0.925385i \(-0.376259\pi\)
0.990921 + 0.134445i \(0.0429252\pi\)
\(434\) −6.11376 + 0.617450i −0.293470 + 0.0296386i
\(435\) −31.5439 + 67.4414i −1.51241 + 3.23357i
\(436\) 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 \(-0.933747\pi\)
0.978417 0.206639i \(-0.0662526\pi\)
\(440\) 16.8194 + 9.71067i 0.801833 + 0.462938i
\(441\) 19.5521 7.66269i 0.931051 0.364890i
\(442\) −0.388635 + 0.575326i −0.0184855 + 0.0273655i
\(443\) 11.7488 6.78318i 0.558203 0.322279i −0.194221 0.980958i \(-0.562218\pi\)
0.752424 + 0.658679i \(0.228885\pi\)
\(444\) 8.94596 + 4.18423i 0.424556 + 0.198575i
\(445\) −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 \(-0.188797\pi\)
−0.898668 + 0.438629i \(0.855464\pi\)
\(450\) 39.7842 6.91977i 1.87545 0.326201i
\(451\) 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 \(0.128253\pi\)
−0.919920 + 0.392106i \(0.871747\pi\)
\(458\) 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 \(-0.586883\pi\)
0.699178 + 0.714947i \(0.253549\pi\)
\(462\) 13.5078 + 15.7040i 0.628439 + 0.730617i
\(463\) 22.5835i 1.04954i 0.851243 + 0.524772i \(0.175849\pi\)
−0.851243 + 0.524772i \(0.824151\pi\)
\(464\) −8.66432 5.00235i −0.402231 0.232228i
\(465\) −15.6562 7.32274i −0.726037 0.339584i
\(466\) 5.93673 3.42758i 0.275014 0.158779i
\(467\) −14.0602 24.3530i −0.650629 1.12692i −0.982971 0.183763i \(-0.941172\pi\)
0.332342 0.943159i \(-0.392161\pi\)
\(468\) 10.7608 1.09829i 0.497416 0.0507687i
\(469\) −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
\(474\) −6.66364 + 0.575194i −0.306071 + 0.0264195i
\(475\) 11.3824 + 19.7149i 0.522260 + 0.904580i
\(476\) −0.297779 0.413384i −0.0136487 0.0189474i
\(477\) −3.31991 19.0874i −0.152008 0.873950i
\(478\) −7.06260 −0.323036
\(479\) −17.1627 + 9.90890i −0.784184 + 0.452749i −0.837911 0.545807i \(-0.816223\pi\)
0.0537268 + 0.998556i \(0.482890\pi\)
\(480\) 0.639991 + 7.41431i 0.0292114 + 0.338415i
\(481\) 17.0362 + 11.5080i 0.776782 + 0.524719i
\(482\) 19.7363 0.898965
\(483\) −1.19938 6.34728i −0.0545735 0.288811i
\(484\) −4.71610 + 8.16852i −0.214368 + 0.371297i
\(485\) −51.0904 29.4970i −2.31989 1.33939i
\(486\) 12.7172 + 9.01518i 0.576863 + 0.408937i
\(487\) 25.5536i 1.15794i 0.815348 + 0.578972i \(0.196546\pi\)
−0.815348 + 0.578972i \(0.803454\pi\)
\(488\) 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 \(-0.297604\pi\)
−0.399848 + 0.916582i \(0.630937\pi\)
\(492\) −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
\(495\) 9.98412 + 57.4022i 0.448753 + 2.58004i
\(496\) 1.16127 2.01138i 0.0521425 0.0903135i
\(497\) 12.1454 26.9831i 0.544795 1.21036i
\(498\) 6.51275 + 3.04616i 0.291843 + 0.136502i
\(499\) −7.88549 + 4.55269i −0.353003 + 0.203807i −0.666007 0.745945i \(-0.731998\pi\)
0.313004 + 0.949752i \(0.398665\pi\)
\(500\) 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 \(-0.0835193\pi\)
−0.707520 + 0.706693i \(0.750186\pi\)
\(504\) −1.96937 + 7.68906i −0.0877228 + 0.342498i
\(505\) −0.299970 0.173188i −0.0133485 0.00770675i
\(506\) 5.51803 3.18584i 0.245307 0.141628i
\(507\) 22.4827 + 1.23531i 0.998494 + 0.0548619i
\(508\) 0.0510484 0.0884185i 0.00226491 0.00392294i
\(509\) 26.4808i 1.17374i 0.809681 + 0.586871i \(0.199640\pi\)
−0.809681 + 0.586871i \(0.800360\pi\)
\(510\) −0.123237 1.42771i −0.00545704 0.0632200i
\(511\) −31.0687 + 3.13774i −1.37440 + 0.138805i
\(512\) −1.00000 −0.0441942
\(513\) −2.30403 + 8.48045i −0.101726 + 0.374421i
\(514\) 8.95503 0.394989
\(515\) 22.4527 38.8892i 0.989383 1.71366i
\(516\) −5.97694 + 0.515920i −0.263120 + 0.0227121i
\(517\) 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 \(-0.890005\pi\)
0.763787 + 0.645469i \(0.223338\pi\)
\(522\) −5.14321 29.5701i −0.225112 1.29425i
\(523\) 1.34371i 0.0587565i 0.999568 + 0.0293782i \(0.00935273\pi\)
−0.999568 + 0.0293782i \(0.990647\pi\)
\(524\) −0.746067 1.29223i −0.0325921 0.0564512i
\(525\) −20.3870 + 58.2174i −0.889761 + 2.54081i
\(526\) 15.5696 8.98910i 0.678866 0.391943i
\(527\) −0.223615 + 0.387313i −0.00974084 + 0.0168716i
\(528\) −7.80021 + 0.673301i −0.339461 + 0.0293017i
\(529\) 21.0130 0.913610
\(530\) 27.7471 1.20526
\(531\) 8.44759 7.05499i 0.366594 0.306161i
\(532\) −4.45192 + 0.449615i −0.193015 + 0.0194933i
\(533\) −4.65317 + 2.26556i −0.201551 + 0.0981324i
\(534\) 3.39811 + 1.58937i 0.147051 + 0.0687789i
\(535\) −11.5233 19.9590i −0.498197 0.862903i
\(536\) 4.38012 2.52887i 0.189193 0.109230i
\(537\) −0.821522 9.51735i −0.0354513 0.410704i
\(538\) −2.85518 −0.123096
\(539\) −31.0024 + 6.32662i −1.33537 + 0.272507i
\(540\) −15.8415 + 15.7315i −0.681710 + 0.676976i
\(541\) −32.4126 + 18.7134i −1.39353 + 0.804553i −0.993704 0.112039i \(-0.964262\pi\)
−0.399823 + 0.916592i \(0.630928\pi\)
\(542\) 4.47256 0.192113
\(543\) 6.20676 + 2.90304i 0.266358 + 0.124581i
\(544\) 0.192561 0.00825599
\(545\) −30.3473 −1.29993
\(546\) −6.54576 + 15.1708i −0.280133 + 0.649250i
\(547\) 39.2814 1.67955 0.839775 0.542934i \(-0.182687\pi\)
0.839775 + 0.542934i \(0.182687\pi\)
\(548\) 20.1088 0.859005
\(549\) 4.17030 + 23.9765i 0.177984 + 1.02329i
\(550\) −60.8442 −2.59440
\(551\) 14.6533 8.46010i 0.624253 0.360413i
\(552\) 2.21155 + 1.03439i 0.0941299 + 0.0440267i
\(553\) 4.19344 9.31646i 0.178323 0.396176i
\(554\) −14.8067 −0.629078
\(555\) −42.2763 + 3.64922i −1.79453 + 0.154901i
\(556\) −14.3239 + 8.26993i −0.607470 + 0.350723i
\(557\) 1.89706 + 3.28581i 0.0803811 + 0.139224i 0.903414 0.428770i \(-0.141053\pi\)
−0.823033 + 0.567994i \(0.807720\pi\)
\(558\) 6.86455 1.19397i 0.290600 0.0505448i
\(559\) −12.4572 0.879658i −0.526885 0.0372056i
\(560\) −10.3660 4.66584i −0.438042 0.197168i
\(561\) 1.50202 0.129652i 0.0634152 0.00547390i
\(562\) 3.78960 0.159855
\(563\) −6.67273 −0.281222 −0.140611 0.990065i \(-0.544907\pi\)
−0.140611 + 0.990065i \(0.544907\pi\)
\(564\) 1.49686 + 17.3411i 0.0630291 + 0.730193i
\(565\) −27.4455 + 47.5370i −1.15464 + 1.99990i
\(566\) −23.9803 + 13.8450i −1.00797 + 0.581950i
\(567\) −21.4920 + 10.2515i −0.902580 + 0.430523i
\(568\) 5.59208 + 9.68576i 0.234638 + 0.406406i
\(569\) 18.2299i 0.764238i 0.924113 + 0.382119i \(0.124806\pi\)
−0.924113 + 0.382119i \(0.875194\pi\)
\(570\) −11.4005 5.33228i −0.477515 0.223344i
\(571\) 22.5493 39.0565i 0.943657 1.63446i 0.185239 0.982693i \(-0.440694\pi\)
0.758418 0.651769i \(-0.225973\pi\)
\(572\) −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
\(576\) −1.92302 2.30261i −0.0801258 0.0959420i
\(577\) 16.5263 28.6244i 0.688000 1.19165i −0.284484 0.958681i \(-0.591822\pi\)
0.972484 0.232970i \(-0.0748444\pi\)
\(578\) 16.9629 0.705564
\(579\) −3.06370 35.4930i −0.127323 1.47504i
\(580\) 42.9859 1.78489
\(581\) −8.91145 + 6.41933i −0.369709 + 0.266319i
\(582\) 23.6938 2.04521i 0.982141 0.0847768i
\(583\) 29.1913i 1.20898i
\(584\) 5.90130 10.2214i 0.244198 0.422963i
\(585\) −37.6806 + 27.2038i −1.55790 + 1.12474i
\(586\) 17.6685 10.2009i 0.729879 0.421396i
\(587\) 26.4828 + 15.2899i 1.09306 + 0.631081i 0.934390 0.356251i \(-0.115945\pi\)
0.158673 + 0.987331i \(0.449278\pi\)
\(588\) −8.78994 8.35087i −0.362491 0.344384i
\(589\) 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 \(-0.554863\pi\)
0.767440 + 0.641120i \(0.221530\pi\)
\(594\) −16.5503 16.6660i −0.679067 0.683816i
\(595\) 1.99608 + 0.898460i 0.0818315 + 0.0368333i
\(596\) −2.04689 + 3.54532i −0.0838438 + 0.145222i
\(597\) 11.6462 + 5.44720i 0.476648 + 0.222939i
\(598\) 4.21155 + 2.84492i 0.172223 + 0.116337i
\(599\) 19.4413 + 11.2245i 0.794352 + 0.458619i 0.841492 0.540269i \(-0.181677\pi\)
−0.0471404 + 0.998888i \(0.515011\pi\)
\(600\) −13.3503 19.1135i −0.545025 0.780304i
\(601\) 13.6726 + 7.89389i 0.557718 + 0.321999i 0.752229 0.658902i \(-0.228979\pi\)
−0.194511 + 0.980900i \(0.562312\pi\)
\(602\) 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
\(606\) 0.139115 0.0120082i 0.00565116 0.000487798i
\(607\) −6.62940 3.82749i −0.269079 0.155353i 0.359390 0.933187i \(-0.382985\pi\)
−0.628469 + 0.777835i \(0.716318\pi\)
\(608\) 0.845613 1.46464i 0.0342941 0.0593992i
\(609\) 43.2708 + 15.1529i 1.75342 + 0.614026i
\(610\) −34.8545 −1.41122
\(611\) −2.55219 + 36.1427i −0.103250 + 1.46218i
\(612\) 0.370299 + 0.443393i 0.0149684 + 0.0179231i
\(613\) −30.1489 + 17.4065i −1.21770 + 0.703041i −0.964426 0.264353i \(-0.914842\pi\)
−0.253277 + 0.967394i \(0.581508\pi\)
\(614\) −25.5018 −1.02917
\(615\) 4.52567 9.67598i 0.182493 0.390173i
\(616\) 4.90869 10.9055i 0.197777 0.439395i
\(617\) 12.4947 + 21.6415i 0.503019 + 0.871255i 0.999994 + 0.00348999i \(0.00111090\pi\)
−0.496975 + 0.867765i \(0.665556\pi\)
\(618\) 1.55678 + 18.0354i 0.0626230 + 0.725489i
\(619\) 1.25318 2.17058i 0.0503697 0.0872429i −0.839741 0.542987i \(-0.817293\pi\)
0.890111 + 0.455744i \(0.150627\pi\)
\(620\) 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
\(624\) −3.20653 5.35894i −0.128364 0.214529i
\(625\) −44.4414 76.9747i −1.77765 3.07899i
\(626\) 7.84351 4.52845i 0.313490 0.180993i
\(627\) 5.60981 11.9939i 0.224034 0.478990i
\(628\) −4.42840 2.55674i −0.176712 0.102025i
\(629\) 1.09798i 0.0437794i
\(630\) −9.19037 32.8413i −0.366153 1.30843i
\(631\) 18.3250 10.5800i 0.729508 0.421182i −0.0887343 0.996055i \(-0.528282\pi\)
0.818242 + 0.574874i \(0.194949\pi\)
\(632\) 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 \(-0.230791\pi\)
\(642\) 8.41564 + 3.93619i 0.332139 + 0.155349i
\(643\) −12.7327 22.0537i −0.502129 0.869713i −0.999997 0.00246038i \(-0.999217\pi\)
0.497868 0.867253i \(-0.334116\pi\)
\(644\) −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 \(-0.0997298\pi\)
−0.742577 + 0.669761i \(0.766396\pi\)
\(648\) 1.60400 8.85591i 0.0630109 0.347893i
\(649\) −14.3616 + 8.29165i −0.563740 + 0.325476i
\(650\) −21.2454 43.6353i −0.833314 1.71152i
\(651\) −3.51766 + 10.0451i −0.137868 + 0.393698i
\(652\) 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
\(657\) 34.8841 6.06748i 1.36096 0.236715i
\(658\) −24.2447 10.9128i −0.945158 0.425426i
\(659\) −5.79064 + 3.34323i −0.225571 + 0.130234i −0.608527 0.793533i \(-0.708239\pi\)
0.382956 + 0.923767i \(0.374906\pi\)
\(660\) 27.5777 19.2624i 1.07346 0.749787i
\(661\) −24.8847 43.1016i −0.967904 1.67646i −0.701601 0.712570i \(-0.747531\pi\)
−0.266303 0.963889i \(-0.585802\pi\)
\(662\) 23.9748 + 13.8419i 0.931807 + 0.537979i
\(663\) 0.617453 + 1.03192i 0.0239799 + 0.0400766i
\(664\) 4.15111i 0.161094i
\(665\) 15.5994 11.2370i 0.604919 0.435751i
\(666\) 13.1294 10.9650i 0.508755 0.424886i
\(667\) 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
\(672\) 4.50289 0.850863i 0.173703 0.0328227i
\(673\) −22.5838 + 39.1163i −0.870542 + 1.50782i −0.00910418 + 0.999959i \(0.502898\pi\)
−0.861437 + 0.507864i \(0.830435\pi\)
\(674\) 9.67002 0.372475
\(675\) 18.3379 67.4961i 0.705824 2.59793i
\(676\) −4.85339 12.0600i −0.186669 0.463848i
\(677\) 10.7942 + 18.6960i 0.414853 + 0.718546i 0.995413 0.0956710i \(-0.0304997\pi\)
−0.580560 + 0.814217i \(0.697166\pi\)
\(678\) −1.90297 22.0459i −0.0730830 0.846668i
\(679\) −14.9106 + 33.1265i −0.572216 + 1.27128i
\(680\) −0.716508 + 0.413676i −0.0274768 + 0.0158638i
\(681\) 33.8884 + 15.8504i 1.29861 + 0.607388i
\(682\) −10.4983 −0.402002
\(683\) −43.5860 −1.66777 −0.833886 0.551937i \(-0.813889\pi\)
−0.833886 + 0.551937i \(0.813889\pi\)
\(684\) 4.99863 0.869425i 0.191127 0.0332433i
\(685\) −74.8236 + 43.1994i −2.85886 + 1.65056i
\(686\) 17.6823 5.50772i 0.675115 0.210286i
\(687\) 19.0948 1.64823i 0.728512 0.0628839i
\(688\) 1.73181 + 2.99958i 0.0660246 + 0.114358i
\(689\) −20.9350 + 10.1930i −0.797560 + 0.388321i
\(690\) −10.4512 + 0.902131i −0.397871 + 0.0343436i
\(691\) −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
\(693\) 34.5506 9.66871i 1.31247 0.367284i
\(694\) 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
\(699\) −1.02110 11.8295i −0.0386216 0.447432i
\(700\) 35.4329 3.57850i 1.33924 0.135254i
\(701\) 29.7087i 1.12208i −0.827787 0.561042i \(-0.810401\pi\)
0.827787 0.561042i \(-0.189599\pi\)
\(702\) 6.17331 17.6887i 0.232997 0.667617i
\(703\) 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
\(708\) −5.75591 2.69217i −0.216320 0.101178i
\(709\) 29.5236 + 17.0454i 1.10878 + 0.640155i 0.938513 0.345243i \(-0.112203\pi\)
0.170268 + 0.985398i \(0.445537\pi\)
\(710\) −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
\(714\) −0.867082 + 0.163843i −0.0324497 + 0.00613168i
\(715\) 62.9587 30.6537i 2.35452 1.14638i
\(716\) −4.77637 + 2.75764i −0.178501 + 0.103058i
\(717\) −5.18267 + 11.0807i −0.193550 + 0.413814i
\(718\) −14.0272 24.2958i −0.523491 0.906713i
\(719\) −13.8089 + 23.9177i −0.514985 + 0.891979i 0.484864 + 0.874589i \(0.338869\pi\)
−0.999849 + 0.0173900i \(0.994464\pi\)
\(720\) 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
\(723\) 14.4829 30.9647i 0.538625 1.15159i
\(724\) 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 \(-0.977276\pi\)
0.997453 0.0713291i \(-0.0227241\pi\)
\(728\) 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 0.937676 0.347510i \(-0.112973\pi\)
−0.769791 + 0.638296i \(0.779639\pi\)
\(734\) −9.24291 + 5.33639i −0.341162 + 0.196970i
\(735\) 50.6469 + 12.1898i 1.86814 + 0.449626i
\(736\) 1.40960i 0.0519586i
\(737\) −19.7990 11.4310i −0.729307 0.421065i
\(738\) 0.737909 + 4.24250i 0.0271628 + 0.156168i
\(739\) −15.0189 + 8.67118i −0.552480 + 0.318974i −0.750122 0.661300i \(-0.770005\pi\)
0.197642 + 0.980274i \(0.436672\pi\)
\(740\) 12.2495 + 21.2167i 0.450300 + 0.779943i
\(741\) 10.5604 0.164838i 0.387947 0.00605546i
\(742\) −1.71686 16.9997i −0.0630280 0.624079i
\(743\) −12.2804 + 21.2704i −0.450526 + 0.780334i −0.998419 0.0562149i \(-0.982097\pi\)
0.547893 + 0.836549i \(0.315430\pi\)
\(744\) −2.30353 3.29793i −0.0844514 0.120908i
\(745\) 17.5892i 0.644418i
\(746\) −11.4478 + 19.8282i −0.419135 + 0.725963i
\(747\) 9.55837 7.98266i 0.349722 0.292070i
\(748\) −0.435207 0.753801i −0.0159128 0.0275617i
\(749\) −11.5152 + 8.29492i −0.420756 + 0.303090i
\(750\) 57.0321 + 26.6752i 2.08252 + 0.974040i
\(751\) 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
\(753\) −6.90764 + 0.596256i −0.251728 + 0.0217288i
\(754\) −32.4325 + 15.7909i −1.18112 + 0.575072i
\(755\) −32.4939 −1.18257
\(756\) 10.6183 + 8.73216i 0.386186 + 0.317586i
\(757\) −10.7145 + 18.5581i −0.389427 + 0.674507i −0.992372 0.123275i \(-0.960660\pi\)
0.602946 + 0.797782i \(0.293993\pi\)
\(758\) −2.11006 1.21824i −0.0766408 0.0442486i
\(759\) −0.949086 10.9952i −0.0344496 0.399100i
\(760\) 7.26647i 0.263583i
\(761\) −30.0314 17.3386i −1.08864 0.628525i −0.155424 0.987848i \(-0.549674\pi\)
−0.933213 + 0.359323i \(0.883008\pi\)
\(762\) −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
\(768\) −0.733819 + 1.56892i −0.0264794 + 0.0566135i
\(769\) −0.987858 + 1.71102i −0.0356231 + 0.0617010i −0.883287 0.468832i \(-0.844675\pi\)
0.847664 + 0.530533i \(0.178008\pi\)
\(770\) 5.16319 + 51.1240i 0.186069 + 1.84238i
\(771\) 6.57137 14.0497i 0.236662 0.505989i
\(772\) −17.8125 + 10.2840i −0.641085 + 0.370131i
\(773\) 2.30696i 0.0829757i 0.999139 + 0.0414879i \(0.0132098\pi\)
−0.999139 + 0.0414879i \(0.986790\pi\)
\(774\)