Properties

Label 441.2.bn.a.5.17
Level $441$
Weight $2$
Character 441.5
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.bn (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 5.17
Character \(\chi\) \(=\) 441.5
Dual form 441.2.bn.a.353.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.08970 + 0.869006i) q^{2} +(0.851533 + 1.50827i) q^{3} +(-0.0127693 + 0.0559462i) q^{4} +(-2.47373 - 1.68656i) q^{5} +(-2.23861 - 0.903578i) q^{6} +(-0.888042 + 2.49226i) q^{7} +(-1.24418 - 2.58356i) q^{8} +(-1.54978 + 2.56869i) q^{9} +O(q^{10})\) \(q+(-1.08970 + 0.869006i) q^{2} +(0.851533 + 1.50827i) q^{3} +(-0.0127693 + 0.0559462i) q^{4} +(-2.47373 - 1.68656i) q^{5} +(-2.23861 - 0.903578i) q^{6} +(-0.888042 + 2.49226i) q^{7} +(-1.24418 - 2.58356i) q^{8} +(-1.54978 + 2.56869i) q^{9} +(4.16125 - 0.311843i) q^{10} +(-0.0467177 - 0.309952i) q^{11} +(-0.0952557 + 0.0283803i) q^{12} +(-0.257569 - 1.70886i) q^{13} +(-1.19809 - 3.48753i) q^{14} +(0.437333 - 5.16723i) q^{15} +(3.49750 + 1.68431i) q^{16} +(0.837659 - 0.777234i) q^{17} +(-0.543411 - 4.14587i) q^{18} +(-4.78224 - 2.76103i) q^{19} +(0.125945 - 0.116859i) q^{20} +(-4.51522 + 0.782834i) q^{21} +(0.320258 + 0.297156i) q^{22} +(-0.766163 - 2.48384i) q^{23} +(2.83726 - 4.07655i) q^{24} +(1.44815 + 3.68983i) q^{25} +(1.76568 + 1.63831i) q^{26} +(-5.19398 - 0.150172i) q^{27} +(-0.128093 - 0.0815071i) q^{28} +(-1.75791 - 1.89457i) q^{29} +(4.01379 + 6.01077i) q^{30} +2.95542i q^{31} +(0.316381 - 0.0722118i) q^{32} +(0.427711 - 0.334397i) q^{33} +(-0.237375 + 1.57488i) q^{34} +(6.40013 - 4.66745i) q^{35} +(-0.123919 - 0.119505i) q^{36} +(0.479786 + 0.147994i) q^{37} +(7.61055 - 1.14711i) q^{38} +(2.35810 - 1.84364i) q^{39} +(-1.27957 + 8.48942i) q^{40} +(-0.230737 + 3.07897i) q^{41} +(4.23994 - 4.77680i) q^{42} +(0.255416 + 3.40829i) q^{43} +(0.0179372 + 0.00134420i) q^{44} +(8.16600 - 3.74045i) q^{45} +(2.99336 + 2.04084i) q^{46} +(-5.61721 - 7.04376i) q^{47} +(0.437840 + 6.70944i) q^{48} +(-5.42276 - 4.42647i) q^{49} +(-4.78453 - 2.76235i) q^{50} +(1.88558 + 0.601579i) q^{51} +(0.0988932 + 0.00741102i) q^{52} +(3.24529 + 10.5210i) q^{53} +(5.79038 - 4.34996i) q^{54} +(-0.407186 + 0.845530i) q^{55} +(7.54380 - 0.806508i) q^{56} +(0.0921510 - 9.56404i) q^{57} +(3.56199 + 0.536883i) q^{58} +(-11.8293 - 5.69668i) q^{59} +(0.283502 + 0.0904492i) q^{60} +(6.30863 - 1.43990i) q^{61} +(-2.56828 - 3.22052i) q^{62} +(-5.02558 - 6.14357i) q^{63} +(-5.12270 + 6.42367i) q^{64} +(-2.24494 + 4.66167i) q^{65} +(-0.175483 + 0.736075i) q^{66} -13.3008 q^{67} +(0.0327869 + 0.0567886i) q^{68} +(3.09390 - 3.27066i) q^{69} +(-2.91817 + 10.6479i) q^{70} +(-4.11128 - 0.938373i) q^{71} +(8.56457 + 0.808050i) q^{72} +(0.0526029 - 0.348997i) q^{73} +(-0.651430 + 0.255667i) q^{74} +(-4.33212 + 5.32622i) q^{75} +(0.215535 - 0.232292i) q^{76} +(0.813969 + 0.158817i) q^{77} +(-0.967490 + 4.05821i) q^{78} +10.4482 q^{79} +(-5.81119 - 10.0653i) q^{80} +(-4.19635 - 7.96183i) q^{81} +(-2.42421 - 3.55566i) q^{82} +(-15.5802 - 2.34834i) q^{83} +(0.0138598 - 0.262605i) q^{84} +(-3.38300 + 0.509905i) q^{85} +(-3.24015 - 3.49205i) q^{86} +(1.36062 - 4.26470i) q^{87} +(-0.742654 + 0.506333i) q^{88} +(6.22279 + 15.8554i) q^{89} +(-5.64801 + 11.1723i) q^{90} +(4.48767 + 0.875610i) q^{91} +(0.148745 - 0.0111469i) q^{92} +(-4.45758 + 2.51664i) q^{93} +(12.2421 + 2.79419i) q^{94} +(7.17334 + 14.8956i) q^{95} +(0.378324 + 0.415698i) q^{96} +(-5.61926 + 3.24428i) q^{97} +(9.75581 + 0.111109i) q^{98} +(0.868573 + 0.360354i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 21 q^{2} - 11 q^{3} + 99 q^{4} - 18 q^{5} - 34 q^{6} - 5 q^{7} - 23 q^{9} + O(q^{10}) \) \( 648 q - 21 q^{2} - 11 q^{3} + 99 q^{4} - 18 q^{5} - 34 q^{6} - 5 q^{7} - 23 q^{9} - 22 q^{10} - 18 q^{11} - 72 q^{12} - 4 q^{13} + 66 q^{14} - 10 q^{15} - 105 q^{16} - 9 q^{17} - 27 q^{18} - 36 q^{19} - 27 q^{20} - 11 q^{21} - 9 q^{22} - 27 q^{23} - 8 q^{24} + 38 q^{25} + 6 q^{26} - 29 q^{27} - 26 q^{28} + 3 q^{29} - 16 q^{30} - 21 q^{32} - 11 q^{33} - 13 q^{34} + 28 q^{36} - 13 q^{37} - 90 q^{38} - 15 q^{39} - 31 q^{40} - 27 q^{41} - 4 q^{42} - 9 q^{43} + 51 q^{44} - 11 q^{45} - 108 q^{46} + 75 q^{47} - 15 q^{48} - 13 q^{49} - 45 q^{50} - 38 q^{51} + 64 q^{52} - 12 q^{53} - 41 q^{54} + 14 q^{55} + 3 q^{56} - 7 q^{57} - 90 q^{58} + 15 q^{59} - 69 q^{60} - 56 q^{61} + 66 q^{62} + 13 q^{63} + 64 q^{64} - 21 q^{65} - 204 q^{66} - 26 q^{67} + 3 q^{68} + 58 q^{69} - 22 q^{70} - 63 q^{71} - 18 q^{72} - 22 q^{73} - 12 q^{74} + 118 q^{75} - 63 q^{76} - 69 q^{77} - 147 q^{78} - 2 q^{79} - 45 q^{80} + 29 q^{81} - 28 q^{82} - 51 q^{83} - 31 q^{84} - 10 q^{85} - 72 q^{86} - 67 q^{87} + 4 q^{88} + 132 q^{89} + 58 q^{90} - 13 q^{91} - 15 q^{92} + 217 q^{93} - 7 q^{94} - 21 q^{95} - 44 q^{96} + 3 q^{97} + 21 q^{98} - 148 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{29}{42}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.08970 + 0.869006i −0.770534 + 0.614480i −0.927801 0.373076i \(-0.878303\pi\)
0.157267 + 0.987556i \(0.449732\pi\)
\(3\) 0.851533 + 1.50827i 0.491633 + 0.870803i
\(4\) −0.0127693 + 0.0559462i −0.00638467 + 0.0279731i
\(5\) −2.47373 1.68656i −1.10629 0.754253i −0.134687 0.990888i \(-0.543003\pi\)
−0.971599 + 0.236635i \(0.923955\pi\)
\(6\) −2.23861 0.903578i −0.913910 0.368884i
\(7\) −0.888042 + 2.49226i −0.335648 + 0.941987i
\(8\) −1.24418 2.58356i −0.439883 0.913427i
\(9\) −1.54978 + 2.56869i −0.516594 + 0.856230i
\(10\) 4.16125 0.311843i 1.31590 0.0986134i
\(11\) −0.0467177 0.309952i −0.0140859 0.0934540i 0.980683 0.195603i \(-0.0626663\pi\)
−0.994769 + 0.102149i \(0.967428\pi\)
\(12\) −0.0952557 + 0.0283803i −0.0274979 + 0.00819270i
\(13\) −0.257569 1.70886i −0.0714369 0.473953i −0.995733 0.0922774i \(-0.970585\pi\)
0.924296 0.381675i \(-0.124653\pi\)
\(14\) −1.19809 3.48753i −0.320204 0.932082i
\(15\) 0.437333 5.16723i 0.112919 1.33417i
\(16\) 3.49750 + 1.68431i 0.874376 + 0.421077i
\(17\) 0.837659 0.777234i 0.203162 0.188507i −0.572030 0.820233i \(-0.693844\pi\)
0.775192 + 0.631726i \(0.217653\pi\)
\(18\) −0.543411 4.14587i −0.128083 0.977191i
\(19\) −4.78224 2.76103i −1.09712 0.633423i −0.161658 0.986847i \(-0.551684\pi\)
−0.935463 + 0.353423i \(0.885018\pi\)
\(20\) 0.125945 0.116859i 0.0281621 0.0261306i
\(21\) −4.51522 + 0.782834i −0.985301 + 0.170828i
\(22\) 0.320258 + 0.297156i 0.0682793 + 0.0633539i
\(23\) −0.766163 2.48384i −0.159756 0.517916i 0.839937 0.542684i \(-0.182592\pi\)
−0.999693 + 0.0247672i \(0.992116\pi\)
\(24\) 2.83726 4.07655i 0.579153 0.832122i
\(25\) 1.44815 + 3.68983i 0.289630 + 0.737966i
\(26\) 1.76568 + 1.63831i 0.346279 + 0.321300i
\(27\) −5.19398 0.150172i −0.999582 0.0289005i
\(28\) −0.128093 0.0815071i −0.0242073 0.0154034i
\(29\) −1.75791 1.89457i −0.326435 0.351814i 0.548416 0.836206i \(-0.315231\pi\)
−0.874851 + 0.484392i \(0.839041\pi\)
\(30\) 4.01379 + 6.01077i 0.732814 + 1.09741i
\(31\) 2.95542i 0.530809i 0.964137 + 0.265404i \(0.0855055\pi\)
−0.964137 + 0.265404i \(0.914495\pi\)
\(32\) 0.316381 0.0722118i 0.0559287 0.0127654i
\(33\) 0.427711 0.334397i 0.0744549 0.0582111i
\(34\) −0.237375 + 1.57488i −0.0407095 + 0.270090i
\(35\) 6.40013 4.66745i 1.08182 0.788944i
\(36\) −0.123919 0.119505i −0.0206531 0.0199175i
\(37\) 0.479786 + 0.147994i 0.0788763 + 0.0243301i 0.333942 0.942594i \(-0.391621\pi\)
−0.255066 + 0.966924i \(0.582097\pi\)
\(38\) 7.61055 1.14711i 1.23459 0.186085i
\(39\) 2.35810 1.84364i 0.377599 0.295218i
\(40\) −1.27957 + 8.48942i −0.202318 + 1.34229i
\(41\) −0.230737 + 3.07897i −0.0360351 + 0.480854i 0.949769 + 0.312953i \(0.101318\pi\)
−0.985804 + 0.167902i \(0.946301\pi\)
\(42\) 4.23994 4.77680i 0.654237 0.737077i
\(43\) 0.255416 + 3.40829i 0.0389506 + 0.519760i 0.982220 + 0.187732i \(0.0601137\pi\)
−0.943270 + 0.332028i \(0.892267\pi\)
\(44\) 0.0179372 + 0.00134420i 0.00270413 + 0.000202646i
\(45\) 8.16600 3.74045i 1.21732 0.557593i
\(46\) 2.99336 + 2.04084i 0.441347 + 0.300905i
\(47\) −5.61721 7.04376i −0.819354 1.02744i −0.999044 0.0437142i \(-0.986081\pi\)
0.179690 0.983723i \(-0.442491\pi\)
\(48\) 0.437840 + 6.70944i 0.0631968 + 0.968424i
\(49\) −5.42276 4.42647i −0.774680 0.632353i
\(50\) −4.78453 2.76235i −0.676635 0.390655i
\(51\) 1.88558 + 0.601579i 0.264034 + 0.0842379i
\(52\) 0.0988932 + 0.00741102i 0.0137140 + 0.00102772i
\(53\) 3.24529 + 10.5210i 0.445775 + 1.44517i 0.848181 + 0.529706i \(0.177698\pi\)
−0.402406 + 0.915461i \(0.631826\pi\)
\(54\) 5.79038 4.34996i 0.787970 0.591954i
\(55\) −0.407186 + 0.845530i −0.0549049 + 0.114011i
\(56\) 7.54380 0.806508i 1.00808 0.107774i
\(57\) 0.0921510 9.56404i 0.0122057 1.26679i
\(58\) 3.56199 + 0.536883i 0.467712 + 0.0704962i
\(59\) −11.8293 5.69668i −1.54004 0.741645i −0.544752 0.838597i \(-0.683376\pi\)
−0.995289 + 0.0969520i \(0.969091\pi\)
\(60\) 0.283502 + 0.0904492i 0.0366000 + 0.0116769i
\(61\) 6.30863 1.43990i 0.807737 0.184361i 0.201339 0.979522i \(-0.435471\pi\)
0.606398 + 0.795161i \(0.292614\pi\)
\(62\) −2.56828 3.22052i −0.326171 0.409006i
\(63\) −5.02558 6.14357i −0.633164 0.774018i
\(64\) −5.12270 + 6.42367i −0.640338 + 0.802958i
\(65\) −2.24494 + 4.66167i −0.278451 + 0.578209i
\(66\) −0.175483 + 0.736075i −0.0216004 + 0.0906046i
\(67\) −13.3008 −1.62496 −0.812478 0.582992i \(-0.801882\pi\)
−0.812478 + 0.582992i \(0.801882\pi\)
\(68\) 0.0327869 + 0.0567886i 0.00397600 + 0.00688663i
\(69\) 3.09390 3.27066i 0.372462 0.393741i
\(70\) −2.91817 + 10.6479i −0.348789 + 1.27266i
\(71\) −4.11128 0.938373i −0.487919 0.111364i −0.0285179 0.999593i \(-0.509079\pi\)
−0.459401 + 0.888229i \(0.651936\pi\)
\(72\) 8.56457 + 0.808050i 1.00934 + 0.0952297i
\(73\) 0.0526029 0.348997i 0.00615670 0.0408470i −0.985542 0.169434i \(-0.945806\pi\)
0.991698 + 0.128587i \(0.0410441\pi\)
\(74\) −0.651430 + 0.255667i −0.0757272 + 0.0297207i
\(75\) −4.33212 + 5.32622i −0.500231 + 0.615019i
\(76\) 0.215535 0.232292i 0.0247236 0.0266457i
\(77\) 0.813969 + 0.158817i 0.0927604 + 0.0180989i
\(78\) −0.967490 + 4.05821i −0.109547 + 0.459502i
\(79\) 10.4482 1.17551 0.587757 0.809038i \(-0.300011\pi\)
0.587757 + 0.809038i \(0.300011\pi\)
\(80\) −5.81119 10.0653i −0.649711 1.12533i
\(81\) −4.19635 7.96183i −0.466261 0.884647i
\(82\) −2.42421 3.55566i −0.267709 0.392657i
\(83\) −15.5802 2.34834i −1.71015 0.257764i −0.780224 0.625500i \(-0.784895\pi\)
−0.929930 + 0.367736i \(0.880133\pi\)
\(84\) 0.0138598 0.262605i 0.00151222 0.0286526i
\(85\) −3.38300 + 0.509905i −0.366937 + 0.0553069i
\(86\) −3.24015 3.49205i −0.349395 0.376558i
\(87\) 1.36062 4.26470i 0.145874 0.457224i
\(88\) −0.742654 + 0.506333i −0.0791672 + 0.0539753i
\(89\) 6.22279 + 15.8554i 0.659614 + 1.68067i 0.730261 + 0.683169i \(0.239399\pi\)
−0.0706462 + 0.997501i \(0.522506\pi\)
\(90\) −5.64801 + 11.1723i −0.595353 + 1.17766i
\(91\) 4.48767 + 0.875610i 0.470435 + 0.0917888i
\(92\) 0.148745 0.0111469i 0.0155077 0.00116214i
\(93\) −4.45758 + 2.51664i −0.462230 + 0.260963i
\(94\) 12.2421 + 2.79419i 1.26268 + 0.288198i
\(95\) 7.17334 + 14.8956i 0.735969 + 1.52825i
\(96\) 0.378324 + 0.415698i 0.0386125 + 0.0424270i
\(97\) −5.61926 + 3.24428i −0.570549 + 0.329407i −0.757369 0.652988i \(-0.773515\pi\)
0.186819 + 0.982394i \(0.440182\pi\)
\(98\) 9.75581 + 0.111109i 0.985485 + 0.0112237i
\(99\) 0.868573 + 0.360354i 0.0872948 + 0.0362170i
\(100\) −0.224924 + 0.0339018i −0.0224924 + 0.00339018i
\(101\) −1.05751 + 14.1115i −0.105226 + 1.40415i 0.655560 + 0.755143i \(0.272433\pi\)
−0.760786 + 0.649003i \(0.775186\pi\)
\(102\) −2.57749 + 0.983037i −0.255209 + 0.0973352i
\(103\) 8.30010 12.1740i 0.817833 1.19954i −0.159366 0.987220i \(-0.550945\pi\)
0.977200 0.212322i \(-0.0681025\pi\)
\(104\) −4.09448 + 2.79157i −0.401497 + 0.273736i
\(105\) 12.4897 + 5.67867i 1.21887 + 0.554181i
\(106\) −12.6792 8.64452i −1.23151 0.839630i
\(107\) −14.9282 + 5.85891i −1.44317 + 0.566402i −0.952390 0.304883i \(-0.901383\pi\)
−0.490778 + 0.871285i \(0.663287\pi\)
\(108\) 0.0747253 0.288666i 0.00719044 0.0277769i
\(109\) −6.55345 + 16.6979i −0.627707 + 1.59937i 0.162622 + 0.986688i \(0.448005\pi\)
−0.790329 + 0.612683i \(0.790090\pi\)
\(110\) −0.291060 1.27522i −0.0277515 0.121587i
\(111\) 0.185337 + 0.849670i 0.0175914 + 0.0806471i
\(112\) −7.30368 + 7.22097i −0.690132 + 0.682317i
\(113\) 0.448009 0.175830i 0.0421451 0.0165407i −0.344175 0.938906i \(-0.611841\pi\)
0.386320 + 0.922365i \(0.373746\pi\)
\(114\) 8.21079 + 10.5020i 0.769011 + 0.983603i
\(115\) −2.29387 + 7.43653i −0.213904 + 0.693460i
\(116\) 0.128441 0.0741557i 0.0119255 0.00688519i
\(117\) 4.78871 + 1.98675i 0.442717 + 0.183675i
\(118\) 17.8408 4.07205i 1.64238 0.374862i
\(119\) 1.19320 + 2.77788i 0.109380 + 0.254648i
\(120\) −13.8940 + 5.29907i −1.26834 + 0.483737i
\(121\) 10.4174 3.21335i 0.947038 0.292122i
\(122\) −5.62322 + 7.05130i −0.509102 + 0.638394i
\(123\) −4.84041 + 2.27383i −0.436445 + 0.205024i
\(124\) −0.165344 0.0377388i −0.0148484 0.00338904i
\(125\) −0.690315 + 3.02447i −0.0617437 + 0.270517i
\(126\) 10.8152 + 2.32738i 0.963492 + 0.207340i
\(127\) −1.05719 4.63186i −0.0938106 0.411011i 0.906117 0.423027i \(-0.139032\pi\)
−0.999928 + 0.0120157i \(0.996175\pi\)
\(128\) 10.8025i 0.954814i
\(129\) −4.92314 + 3.28751i −0.433459 + 0.289449i
\(130\) −1.60471 7.03068i −0.140742 0.616632i
\(131\) 0.224088 + 2.99024i 0.0195786 + 0.261259i 0.998400 + 0.0565433i \(0.0180079\pi\)
−0.978822 + 0.204716i \(0.934373\pi\)
\(132\) 0.0132467 + 0.0281988i 0.00115297 + 0.00245439i
\(133\) 11.1280 9.46670i 0.964924 0.820867i
\(134\) 14.4939 11.5585i 1.25208 0.998503i
\(135\) 12.5952 + 9.13145i 1.08403 + 0.785910i
\(136\) −3.05023 1.19713i −0.261555 0.102653i
\(137\) −1.12135 1.64472i −0.0958035 0.140518i 0.775344 0.631539i \(-0.217576\pi\)
−0.871148 + 0.491021i \(0.836624\pi\)
\(138\) −0.529198 + 6.25265i −0.0450484 + 0.532261i
\(139\) −14.0206 1.05070i −1.18921 0.0891190i −0.534613 0.845097i \(-0.679543\pi\)
−0.654597 + 0.755978i \(0.727162\pi\)
\(140\) 0.179401 + 0.417663i 0.0151621 + 0.0352990i
\(141\) 5.84068 14.4703i 0.491874 1.21862i
\(142\) 5.29551 2.55018i 0.444389 0.214007i
\(143\) −0.517631 + 0.159668i −0.0432865 + 0.0133521i
\(144\) −9.74684 + 6.37370i −0.812237 + 0.531141i
\(145\) 1.15328 + 7.65149i 0.0957744 + 0.635421i
\(146\) 0.245959 + 0.426014i 0.0203557 + 0.0352572i
\(147\) 2.05867 11.9483i 0.169796 0.985479i
\(148\) −0.0144063 + 0.0249524i −0.00118419 + 0.00205107i
\(149\) −7.96783 3.12714i −0.652750 0.256186i 0.0157743 0.999876i \(-0.494979\pi\)
−0.668525 + 0.743690i \(0.733074\pi\)
\(150\) 0.0921951 9.56862i 0.00752770 0.781274i
\(151\) 13.3893 + 12.4235i 1.08961 + 1.01101i 0.999887 + 0.0150415i \(0.00478804\pi\)
0.0897211 + 0.995967i \(0.471402\pi\)
\(152\) −1.18333 + 15.7904i −0.0959806 + 1.28077i
\(153\) 0.698285 + 3.35623i 0.0564530 + 0.271335i
\(154\) −1.02499 + 0.534281i −0.0825964 + 0.0430536i
\(155\) 4.98450 7.31091i 0.400364 0.587227i
\(156\) 0.0730330 + 0.155469i 0.00584732 + 0.0124475i
\(157\) 3.70705 7.69776i 0.295855 0.614348i −0.699061 0.715062i \(-0.746398\pi\)
0.994915 + 0.100714i \(0.0321127\pi\)
\(158\) −11.3854 + 9.07954i −0.905773 + 0.722330i
\(159\) −13.1050 + 13.8537i −1.03930 + 1.09867i
\(160\) −0.904430 0.354963i −0.0715015 0.0280623i
\(161\) 6.87077 + 0.296274i 0.541493 + 0.0233496i
\(162\) 11.4916 + 5.02934i 0.902868 + 0.395142i
\(163\) −16.4445 + 11.2117i −1.28803 + 0.878164i −0.996912 0.0785226i \(-0.974980\pi\)
−0.291118 + 0.956687i \(0.594027\pi\)
\(164\) −0.169310 0.0522253i −0.0132209 0.00407811i
\(165\) −1.62202 + 0.105849i −0.126274 + 0.00824033i
\(166\) 19.0185 10.9803i 1.47612 0.852239i
\(167\) −0.318557 0.0982619i −0.0246507 0.00760373i 0.282405 0.959295i \(-0.408868\pi\)
−0.307056 + 0.951691i \(0.599344\pi\)
\(168\) 7.64023 + 10.6913i 0.589456 + 0.824856i
\(169\) 9.56858 2.95152i 0.736045 0.227040i
\(170\) 3.24334 3.49549i 0.248753 0.268092i
\(171\) 14.5037 8.00511i 1.10912 0.612166i
\(172\) −0.193942 0.0292321i −0.0147880 0.00222893i
\(173\) 3.44291 15.0844i 0.261760 1.14685i −0.657581 0.753384i \(-0.728420\pi\)
0.919341 0.393461i \(-0.128723\pi\)
\(174\) 2.22338 + 5.82963i 0.168554 + 0.441943i
\(175\) −10.4820 + 0.332451i −0.792368 + 0.0251310i
\(176\) 0.358659 1.16274i 0.0270350 0.0876452i
\(177\) −1.48087 22.6927i −0.111309 1.70569i
\(178\) −20.5594 11.8700i −1.54099 0.889693i
\(179\) 6.85081 + 7.38342i 0.512054 + 0.551863i 0.935164 0.354216i \(-0.115252\pi\)
−0.423110 + 0.906078i \(0.639062\pi\)
\(180\) 0.104989 + 0.504619i 0.00782543 + 0.0376121i
\(181\) −13.0220 10.3847i −0.967919 0.771890i 0.00571980 0.999984i \(-0.498179\pi\)
−0.973639 + 0.228094i \(0.926751\pi\)
\(182\) −5.65111 + 2.94566i −0.418888 + 0.218347i
\(183\) 7.54377 + 8.28902i 0.557652 + 0.612742i
\(184\) −5.46391 + 5.06977i −0.402805 + 0.373748i
\(185\) −0.937259 1.17529i −0.0689086 0.0864087i
\(186\) 2.67045 6.61604i 0.195807 0.485112i
\(187\) −0.280039 0.223323i −0.0204785 0.0163310i
\(188\) 0.465799 0.224317i 0.0339719 0.0163600i
\(189\) 4.98674 12.8114i 0.362732 0.931893i
\(190\) −20.7611 9.99803i −1.50617 0.725334i
\(191\) −6.02075 12.5022i −0.435646 0.904629i −0.997026 0.0770703i \(-0.975443\pi\)
0.561379 0.827559i \(-0.310271\pi\)
\(192\) −14.0508 2.25648i −1.01403 0.162847i
\(193\) −4.68910 + 2.25815i −0.337529 + 0.162545i −0.594968 0.803749i \(-0.702835\pi\)
0.257440 + 0.966294i \(0.417121\pi\)
\(194\) 3.30400 8.41846i 0.237213 0.604410i
\(195\) −8.94272 + 0.583578i −0.640401 + 0.0417909i
\(196\) 0.316889 0.246860i 0.0226349 0.0176328i
\(197\) 4.08920i 0.291343i −0.989333 0.145672i \(-0.953466\pi\)
0.989333 0.145672i \(-0.0465343\pi\)
\(198\) −1.25963 + 0.362117i −0.0895182 + 0.0257345i
\(199\) 5.12359 7.51493i 0.363202 0.532719i −0.600526 0.799605i \(-0.705042\pi\)
0.963728 + 0.266886i \(0.0859946\pi\)
\(200\) 7.73114 8.33219i 0.546674 0.589175i
\(201\) −11.3261 20.0613i −0.798881 1.41502i
\(202\) −11.1106 16.2963i −0.781739 1.14660i
\(203\) 6.28288 2.69871i 0.440971 0.189412i
\(204\) −0.0577336 + 0.0978090i −0.00404216 + 0.00684800i
\(205\) 5.76365 7.22739i 0.402551 0.504783i
\(206\) 1.53468 + 20.4788i 0.106926 + 1.42683i
\(207\) 7.56760 + 1.88138i 0.525985 + 0.130765i
\(208\) 1.97740 6.41058i 0.137108 0.444493i
\(209\) −0.632370 + 1.61125i −0.0437420 + 0.111453i
\(210\) −18.5448 + 4.66561i −1.27972 + 0.321958i
\(211\) 4.94179 + 12.5915i 0.340207 + 0.866833i 0.993921 + 0.110092i \(0.0351145\pi\)
−0.653714 + 0.756741i \(0.726790\pi\)
\(212\) −0.630048 + 0.0472156i −0.0432719 + 0.00324278i
\(213\) −2.08557 6.99999i −0.142901 0.479631i
\(214\) 11.1759 19.3572i 0.763967 1.32323i
\(215\) 5.11646 8.86197i 0.348940 0.604382i
\(216\) 6.07426 + 13.6058i 0.413301 + 0.925758i
\(217\) −7.36569 2.62454i −0.500015 0.178165i
\(218\) −7.36931 23.8907i −0.499112 1.61808i
\(219\) 0.571177 0.217843i 0.0385965 0.0147205i
\(220\) −0.0421046 0.0335773i −0.00283869 0.00226378i
\(221\) −1.54394 1.23125i −0.103857 0.0828229i
\(222\) −0.940330 0.764825i −0.0631108 0.0513317i
\(223\) −4.74312 15.3768i −0.317623 1.02971i −0.963824 0.266540i \(-0.914119\pi\)
0.646201 0.763167i \(-0.276357\pi\)
\(224\) −0.100988 + 0.852631i −0.00674757 + 0.0569688i
\(225\) −11.7223 1.99858i −0.781490 0.133239i
\(226\) −0.335397 + 0.580925i −0.0223103 + 0.0386425i
\(227\) 7.33105 12.6977i 0.486579 0.842779i −0.513302 0.858208i \(-0.671578\pi\)
0.999881 + 0.0154287i \(0.00491132\pi\)
\(228\) 0.533895 + 0.127282i 0.0353580 + 0.00842946i
\(229\) 20.2199 1.51527i 1.33617 0.100132i 0.612604 0.790390i \(-0.290122\pi\)
0.723564 + 0.690258i \(0.242503\pi\)
\(230\) −3.96277 10.0970i −0.261297 0.665774i
\(231\) 0.453581 + 1.36293i 0.0298435 + 0.0896740i
\(232\) −2.70760 + 6.89885i −0.177763 + 0.452932i
\(233\) −4.55096 + 14.7539i −0.298143 + 0.966557i 0.675283 + 0.737558i \(0.264021\pi\)
−0.973427 + 0.228999i \(0.926455\pi\)
\(234\) −6.94475 + 1.99646i −0.453992 + 0.130513i
\(235\) 2.01574 + 26.8981i 0.131492 + 1.75464i
\(236\) 0.469760 0.589060i 0.0305787 0.0383445i
\(237\) 8.89699 + 15.7587i 0.577921 + 1.02364i
\(238\) −3.71422 1.99016i −0.240757 0.129003i
\(239\) 8.61355 + 12.6338i 0.557164 + 0.817210i 0.996713 0.0810085i \(-0.0258141\pi\)
−0.439549 + 0.898219i \(0.644862\pi\)
\(240\) 10.2328 17.3358i 0.660523 1.11902i
\(241\) 2.56662 2.76616i 0.165331 0.178184i −0.644952 0.764223i \(-0.723123\pi\)
0.810283 + 0.586039i \(0.199313\pi\)
\(242\) −8.55943 + 12.5544i −0.550221 + 0.807026i
\(243\) 8.43529 13.1090i 0.541124 0.840943i
\(244\) 0.371330i 0.0237720i
\(245\) 5.94894 + 20.0957i 0.380064 + 1.28387i
\(246\) 3.29862 6.68414i 0.210312 0.426165i
\(247\) −3.48646 + 8.88334i −0.221838 + 0.565234i
\(248\) 7.63551 3.67707i 0.484855 0.233494i
\(249\) −9.72515 25.4990i −0.616306 1.61593i
\(250\) −1.87605 3.89565i −0.118652 0.246382i
\(251\) 15.0284 + 7.23732i 0.948587 + 0.456815i 0.843191 0.537615i \(-0.180675\pi\)
0.105396 + 0.994430i \(0.466389\pi\)
\(252\) 0.407883 0.202713i 0.0256942 0.0127697i
\(253\) −0.734077 + 0.353513i −0.0461510 + 0.0222252i
\(254\) 5.17713 + 4.12863i 0.324842 + 0.259053i
\(255\) −3.64981 4.66829i −0.228560 0.292339i
\(256\) −0.857980 1.07587i −0.0536238 0.0672421i
\(257\) −2.62606 + 2.43662i −0.163809 + 0.151992i −0.757818 0.652466i \(-0.773735\pi\)
0.594009 + 0.804458i \(0.297544\pi\)
\(258\) 2.50788 7.86064i 0.156134 0.489382i
\(259\) −0.794911 + 1.06433i −0.0493933 + 0.0661341i
\(260\) −0.232136 0.185122i −0.0143965 0.0114808i
\(261\) 7.59095 1.57934i 0.469868 0.0977590i
\(262\) −2.84273 3.06373i −0.175624 0.189278i
\(263\) 6.43324 + 3.71423i 0.396691 + 0.229029i 0.685055 0.728491i \(-0.259778\pi\)
−0.288364 + 0.957521i \(0.593111\pi\)
\(264\) −1.39608 0.688967i −0.0859230 0.0424030i
\(265\) 9.71629 31.4994i 0.596867 1.93500i
\(266\) −3.89960 + 19.9862i −0.239100 + 1.22543i
\(267\) −18.6154 + 22.8871i −1.13924 + 1.40067i
\(268\) 0.169843 0.744130i 0.0103748 0.0454550i
\(269\) −4.82560 0.727343i −0.294222 0.0443469i 0.000272529 1.00000i \(-0.499913\pi\)
−0.294495 + 0.955653i \(0.595151\pi\)
\(270\) −21.6603 + 0.994804i −1.31820 + 0.0605418i
\(271\) 18.9951 20.4718i 1.15387 1.24357i 0.188674 0.982040i \(-0.439581\pi\)
0.965194 0.261534i \(-0.0842285\pi\)
\(272\) 4.23882 1.30750i 0.257016 0.0792790i
\(273\) 2.50074 + 7.51424i 0.151351 + 0.454783i
\(274\) 2.65121 + 0.817789i 0.160165 + 0.0494044i
\(275\) 1.07601 0.621237i 0.0648861 0.0374620i
\(276\) 0.143474 + 0.214856i 0.00863609 + 0.0129328i
\(277\) −1.24680 0.384586i −0.0749127 0.0231075i 0.257072 0.966392i \(-0.417242\pi\)
−0.331985 + 0.943285i \(0.607718\pi\)
\(278\) 16.1913 11.0390i 0.971088 0.662076i
\(279\) −7.59156 4.58026i −0.454495 0.274213i
\(280\) −20.0216 10.7280i −1.19652 0.641120i
\(281\) 26.9629 + 10.5822i 1.60847 + 0.631279i 0.988209 0.153114i \(-0.0489300\pi\)
0.620264 + 0.784393i \(0.287025\pi\)
\(282\) 6.21018 + 20.8438i 0.369811 + 1.24123i
\(283\) 7.46227 5.95097i 0.443586 0.353748i −0.376082 0.926586i \(-0.622729\pi\)
0.819669 + 0.572838i \(0.194158\pi\)
\(284\) 0.104997 0.218028i 0.00623041 0.0129376i
\(285\) −16.3583 + 23.5034i −0.968982 + 1.39222i
\(286\) 0.425310 0.623815i 0.0251491 0.0368870i
\(287\) −7.46870 3.30931i −0.440864 0.195343i
\(288\) −0.304831 + 0.924597i −0.0179624 + 0.0544824i
\(289\) −1.17283 + 15.6504i −0.0689901 + 0.920609i
\(290\) −7.90591 7.33561i −0.464251 0.430762i
\(291\) −9.67825 5.71277i −0.567349 0.334888i
\(292\) 0.0188533 + 0.00739939i 0.00110331 + 0.000433017i
\(293\) 10.0499 17.4070i 0.587124 1.01693i −0.407483 0.913213i \(-0.633593\pi\)
0.994607 0.103716i \(-0.0330732\pi\)
\(294\) 8.13981 + 14.8090i 0.474723 + 0.863681i
\(295\) 19.6547 + 34.0429i 1.14434 + 1.98205i
\(296\) −0.214586 1.42369i −0.0124726 0.0827501i
\(297\) 0.196105 + 1.61690i 0.0113792 + 0.0938220i
\(298\) 11.4000 3.51645i 0.660387 0.203702i
\(299\) −4.04720 + 1.94903i −0.234055 + 0.112715i
\(300\) −0.242663 0.310378i −0.0140102 0.0179197i
\(301\) −8.72119 2.39014i −0.502681 0.137766i
\(302\) −25.3864 1.90245i −1.46082 0.109474i
\(303\) −22.1845 + 10.4214i −1.27447 + 0.598693i
\(304\) −12.0755 17.7115i −0.692577 1.01582i
\(305\) −18.0343 7.07795i −1.03264 0.405282i
\(306\) −3.67751 3.05047i −0.210229 0.174384i
\(307\) 2.80308 2.23538i 0.159980 0.127580i −0.540228 0.841519i \(-0.681662\pi\)
0.700208 + 0.713939i \(0.253091\pi\)
\(308\) −0.0192791 + 0.0435104i −0.00109853 + 0.00247924i
\(309\) 25.4296 + 2.15225i 1.44664 + 0.122437i
\(310\) 0.921626 + 12.2982i 0.0523449 + 0.698494i
\(311\) 4.75537 + 20.8346i 0.269652 + 1.18142i 0.910419 + 0.413688i \(0.135760\pi\)
−0.640766 + 0.767736i \(0.721383\pi\)
\(312\) −7.69705 3.79849i −0.435759 0.215047i
\(313\) 23.4406i 1.32494i −0.749088 0.662470i \(-0.769508\pi\)
0.749088 0.662470i \(-0.230492\pi\)
\(314\) 2.64984 + 11.6097i 0.149539 + 0.655173i
\(315\) 2.07043 + 23.6735i 0.116656 + 1.33385i
\(316\) −0.133417 + 0.584536i −0.00750527 + 0.0328827i
\(317\) 14.0783 + 3.21327i 0.790714 + 0.180475i 0.598760 0.800929i \(-0.295660\pi\)
0.191954 + 0.981404i \(0.438518\pi\)
\(318\) 2.24156 26.4848i 0.125701 1.48519i
\(319\) −0.505101 + 0.633377i −0.0282802 + 0.0354623i
\(320\) 23.5061 7.25067i 1.31403 0.405325i
\(321\) −21.5487 17.5268i −1.20273 0.978253i
\(322\) −7.74453 + 5.64789i −0.431586 + 0.314745i
\(323\) −6.15185 + 1.40412i −0.342298 + 0.0781274i
\(324\) 0.499018 0.133102i 0.0277232 0.00739457i
\(325\) 5.93240 3.42507i 0.329071 0.189989i
\(326\) 8.17653 26.5077i 0.452856 1.46812i
\(327\) −30.7655 + 4.33443i −1.70134 + 0.239695i
\(328\) 8.24179 3.23466i 0.455076 0.178604i
\(329\) 22.5432 7.74441i 1.24285 0.426963i
\(330\) 1.67553 1.52489i 0.0922350 0.0839425i
\(331\) 0.608924 + 2.66787i 0.0334695 + 0.146639i 0.988902 0.148571i \(-0.0474674\pi\)
−0.955432 + 0.295211i \(0.904610\pi\)
\(332\) 0.330330 0.841668i 0.0181292 0.0461925i
\(333\) −1.12371 + 1.00306i −0.0615792 + 0.0549675i
\(334\) 0.432522 0.169752i 0.0236665 0.00928843i
\(335\) 32.9027 + 22.4327i 1.79767 + 1.22563i
\(336\) −17.1105 4.86705i −0.933455 0.265520i
\(337\) −27.6477 + 18.8499i −1.50607 + 1.02682i −0.521213 + 0.853427i \(0.674520\pi\)
−0.984853 + 0.173392i \(0.944527\pi\)
\(338\) −7.86199 + 11.5314i −0.427636 + 0.627227i
\(339\) 0.646695 + 0.525995i 0.0351236 + 0.0285681i
\(340\) 0.0146714 0.195777i 0.000795671 0.0106175i
\(341\) 0.916037 0.138070i 0.0496062 0.00747693i
\(342\) −8.84814 + 21.3269i −0.478453 + 1.15323i
\(343\) 15.8476 9.58406i 0.855689 0.517491i
\(344\) 8.48775 4.90040i 0.457629 0.264212i
\(345\) −13.1696 + 2.87267i −0.709029 + 0.154660i
\(346\) 9.35669 + 19.4294i 0.503019 + 1.04453i
\(347\) 19.9801 + 4.56032i 1.07259 + 0.244811i 0.722123 0.691765i \(-0.243167\pi\)
0.350465 + 0.936576i \(0.386024\pi\)
\(348\) 0.221219 + 0.130579i 0.0118586 + 0.00699977i
\(349\) −18.8943 + 1.41593i −1.01139 + 0.0757930i −0.570102 0.821574i \(-0.693096\pi\)
−0.441286 + 0.897367i \(0.645477\pi\)
\(350\) 11.1334 9.47123i 0.595104 0.506259i
\(351\) 1.08119 + 8.91447i 0.0577096 + 0.475819i
\(352\) −0.0371628 0.0946891i −0.00198078 0.00504695i
\(353\) −24.3809 + 16.6226i −1.29766 + 0.884733i −0.997604 0.0691876i \(-0.977959\pi\)
−0.300061 + 0.953920i \(0.597007\pi\)
\(354\) 21.3338 + 23.4413i 1.13388 + 1.24589i
\(355\) 8.58757 + 9.25520i 0.455781 + 0.491215i
\(356\) −0.966510 + 0.145678i −0.0512249 + 0.00772092i
\(357\) −3.17377 + 4.16513i −0.167974 + 0.220442i
\(358\) −13.8816 2.09231i −0.733663 0.110582i
\(359\) −4.65920 6.83379i −0.245903 0.360674i 0.683367 0.730075i \(-0.260515\pi\)
−0.929270 + 0.369402i \(0.879563\pi\)
\(360\) −19.8236 16.4436i −1.04480 0.866653i
\(361\) 5.74656 + 9.95333i 0.302450 + 0.523860i
\(362\) 23.2145 1.22013
\(363\) 13.7174 + 12.9760i 0.719976 + 0.681066i
\(364\) −0.106292 + 0.239887i −0.00557119 + 0.0125735i
\(365\) −0.718731 + 0.774607i −0.0376201 + 0.0405448i
\(366\) −15.4236 2.47695i −0.806207 0.129472i
\(367\) −26.4056 + 10.3634i −1.37836 + 0.540966i −0.934767 0.355263i \(-0.884391\pi\)
−0.443592 + 0.896229i \(0.646296\pi\)
\(368\) 1.50390 9.97770i 0.0783960 0.520123i
\(369\) −7.55133 5.36443i −0.393107 0.279261i
\(370\) 2.04266 + 0.466224i 0.106193 + 0.0242378i
\(371\) −29.1030 1.25495i −1.51095 0.0651536i
\(372\) −0.0838758 0.281520i −0.00434876 0.0145962i
\(373\) −5.96522 10.3321i −0.308867 0.534974i 0.669247 0.743040i \(-0.266617\pi\)
−0.978115 + 0.208065i \(0.933283\pi\)
\(374\) 0.499227 0.0258144
\(375\) −5.14955 + 1.53425i −0.265922 + 0.0792284i
\(376\) −11.2092 + 23.2761i −0.578069 + 1.20037i
\(377\) −2.78478 + 3.49200i −0.143424 + 0.179847i
\(378\) 5.69915 + 18.2941i 0.293133 + 0.940947i
\(379\) 1.02966 + 1.29115i 0.0528902 + 0.0663222i 0.807573 0.589768i \(-0.200781\pi\)
−0.754683 + 0.656090i \(0.772209\pi\)
\(380\) −0.924950 + 0.211114i −0.0474489 + 0.0108299i
\(381\) 6.08588 5.53871i 0.311789 0.283757i
\(382\) 17.4253 + 8.39159i 0.891556 + 0.429351i
\(383\) −25.3665 3.82338i −1.29617 0.195366i −0.535515 0.844525i \(-0.679883\pi\)
−0.760652 + 0.649160i \(0.775121\pi\)
\(384\) 16.2931 9.19868i 0.831455 0.469418i
\(385\) −1.74569 1.76568i −0.0889683 0.0899874i
\(386\) 3.14736 6.53556i 0.160196 0.332651i
\(387\) −9.15069 4.62603i −0.465156 0.235154i
\(388\) −0.109751 0.355803i −0.00557175 0.0180632i
\(389\) −3.98292 0.298478i −0.201942 0.0151335i −0.0266249 0.999645i \(-0.508476\pi\)
−0.175317 + 0.984512i \(0.556095\pi\)
\(390\) 9.23774 8.40720i 0.467771 0.425715i
\(391\) −2.57231 1.48512i −0.130087 0.0751059i
\(392\) −4.68918 + 19.5174i −0.236839 + 0.985775i
\(393\) −4.31929 + 2.88428i −0.217879 + 0.145493i
\(394\) 3.55354 + 4.45600i 0.179025 + 0.224490i
\(395\) −25.8460 17.6215i −1.30045 0.886635i
\(396\) −0.0312515 + 0.0439918i −0.00157045 + 0.00221067i
\(397\) 28.6684 + 2.14840i 1.43882 + 0.107825i 0.771162 0.636639i \(-0.219676\pi\)
0.667662 + 0.744464i \(0.267295\pi\)
\(398\) 0.947346 + 12.6414i 0.0474861 + 0.633658i
\(399\) 23.7543 + 8.72294i 1.18920 + 0.436693i
\(400\) −1.14990 + 15.3443i −0.0574949 + 0.767216i
\(401\) 1.92288 12.7575i 0.0960242 0.637079i −0.888107 0.459637i \(-0.847980\pi\)
0.984131 0.177442i \(-0.0567822\pi\)
\(402\) 29.7754 + 12.0183i 1.48506 + 0.599420i
\(403\) 5.05040 0.761225i 0.251578 0.0379193i
\(404\) −0.775980 0.239358i −0.0386064 0.0119085i
\(405\) −3.04747 + 26.7728i −0.151430 + 1.33035i
\(406\) −4.50125 + 8.40064i −0.223393 + 0.416917i
\(407\) 0.0234566 0.155624i 0.00116270 0.00771401i
\(408\) −0.791776 5.61997i −0.0391987 0.278230i
\(409\) 7.34934 1.67744i 0.363402 0.0829440i −0.0369214 0.999318i \(-0.511755\pi\)
0.400323 + 0.916374i \(0.368898\pi\)
\(410\) 12.8843i 0.636312i
\(411\) 1.52582 3.09184i 0.0752632 0.152509i
\(412\) 0.575102 + 0.619813i 0.0283333 + 0.0305360i
\(413\) 24.7025 24.4228i 1.21553 1.20177i
\(414\) −9.88134 + 4.52616i −0.485641 + 0.222449i
\(415\) 34.5807 + 32.0862i 1.69750 + 1.57505i
\(416\) −0.204890 0.522051i −0.0100456 0.0255956i
\(417\) −10.3542 22.0416i −0.507050 1.07938i
\(418\) −0.711095 2.30531i −0.0347808 0.112757i
\(419\) −9.93834 9.22143i −0.485520 0.450496i 0.399033 0.916937i \(-0.369346\pi\)
−0.884553 + 0.466440i \(0.845536\pi\)
\(420\) −0.477185 + 0.626239i −0.0232842 + 0.0305573i
\(421\) 4.39514 4.07809i 0.214206 0.198754i −0.565771 0.824563i \(-0.691421\pi\)
0.779977 + 0.625808i \(0.215231\pi\)
\(422\) −16.3271 9.42648i −0.794793 0.458874i
\(423\) 26.7987 3.51258i 1.30300 0.170788i
\(424\) 23.1439 21.4744i 1.12397 1.04289i
\(425\) 4.08092 + 1.96527i 0.197954 + 0.0953294i
\(426\) 8.35567 + 5.81551i 0.404834 + 0.281763i
\(427\) −2.01371 + 17.0015i −0.0974502 + 0.822758i
\(428\) −0.137159 0.909992i −0.00662984 0.0439861i
\(429\) −0.681604 0.644767i −0.0329081 0.0311297i
\(430\) 2.12570 + 14.1031i 0.102511 + 0.680113i
\(431\) 14.0025 1.04934i 0.674475 0.0505449i 0.266910 0.963721i \(-0.413997\pi\)
0.407564 + 0.913176i \(0.366378\pi\)
\(432\) −17.9130 9.27350i −0.861842 0.446171i
\(433\) 4.23566 + 8.79545i 0.203553 + 0.422682i 0.977607 0.210437i \(-0.0674886\pi\)
−0.774054 + 0.633119i \(0.781774\pi\)
\(434\) 10.3071 3.54087i 0.494757 0.169967i
\(435\) −10.5585 + 8.25495i −0.506241 + 0.395795i
\(436\) −0.850501 0.579862i −0.0407316 0.0277704i
\(437\) −3.19398 + 13.9937i −0.152789 + 0.669410i
\(438\) −0.433104 + 0.733739i −0.0206945 + 0.0350594i
\(439\) −17.6904 + 14.1077i −0.844319 + 0.673322i −0.946944 0.321398i \(-0.895847\pi\)
0.102625 + 0.994720i \(0.467276\pi\)
\(440\) 2.69109 0.128293
\(441\) 19.7743 7.06933i 0.941635 0.336635i
\(442\) 2.75239 0.130918
\(443\) −0.214333 + 0.170925i −0.0101833 + 0.00812090i −0.628568 0.777754i \(-0.716359\pi\)
0.618385 + 0.785875i \(0.287787\pi\)
\(444\) −0.0499024 0.000480817i −0.00236826 2.28186e-5i
\(445\) 11.3476 49.7171i 0.537928 2.35682i
\(446\) 18.5311 + 12.6343i 0.877474 + 0.598251i
\(447\) −2.06828 14.6805i −0.0978264 0.694366i
\(448\) −11.4603 18.4716i −0.541448 0.872702i
\(449\) −0.790775 1.64206i −0.0373190 0.0774937i 0.881476 0.472229i \(-0.156551\pi\)
−0.918795 + 0.394735i \(0.870836\pi\)
\(450\) 14.5106 8.00894i 0.684037 0.377545i
\(451\) 0.965112 0.0723251i 0.0454453 0.00340566i
\(452\) 0.00411626 + 0.0273096i 0.000193613 + 0.00128454i
\(453\) −7.33656 + 30.7738i −0.344702 + 1.44588i
\(454\) 3.04578 + 20.2074i 0.142946 + 0.948383i
\(455\) −9.62451 9.73475i −0.451204 0.456372i
\(456\) −24.8239 + 11.6613i −1.16249 + 0.546090i
\(457\) −24.4420 11.7706i −1.14335 0.550607i −0.236318 0.971676i \(-0.575941\pi\)
−0.907029 + 0.421069i \(0.861655\pi\)
\(458\) −20.7168 + 19.2224i −0.968033 + 0.898204i
\(459\) −4.46750 + 3.91115i −0.208525 + 0.182557i
\(460\) −0.386754 0.223293i −0.0180325 0.0104111i
\(461\) −8.76631 + 8.13394i −0.408288 + 0.378836i −0.857409 0.514635i \(-0.827927\pi\)
0.449122 + 0.893471i \(0.351737\pi\)
\(462\) −1.67866 1.09101i −0.0780983 0.0507586i
\(463\) 28.9070 + 26.8218i 1.34342 + 1.24652i 0.944081 + 0.329714i \(0.106952\pi\)
0.399344 + 0.916801i \(0.369238\pi\)
\(464\) −2.95724 9.58714i −0.137287 0.445072i
\(465\) 15.2713 + 1.29250i 0.708191 + 0.0599384i
\(466\) −7.86201 20.0321i −0.364200 0.927968i
\(467\) −19.1810 17.7973i −0.887589 0.823562i 0.0975662 0.995229i \(-0.468894\pi\)
−0.985155 + 0.171667i \(0.945085\pi\)
\(468\) −0.172300 + 0.242541i −0.00796455 + 0.0112114i
\(469\) 11.8117 33.1492i 0.545414 1.53069i
\(470\) −25.5712 27.5592i −1.17951 1.27121i
\(471\) 14.7670 0.963656i 0.680428 0.0444029i
\(472\) 37.6494i 1.73295i
\(473\) 1.04447 0.238394i 0.0480250 0.0109614i
\(474\) −23.3895 9.44076i −1.07431 0.433628i
\(475\) 3.26231 21.6440i 0.149685 0.993097i
\(476\) −0.170648 + 0.0312830i −0.00782165 + 0.00143385i
\(477\) −32.0546 7.96907i −1.46768 0.364879i
\(478\) −20.3650 6.28177i −0.931473 0.287321i
\(479\) 17.5084 2.63897i 0.799980 0.120578i 0.263686 0.964609i \(-0.415062\pi\)
0.536294 + 0.844031i \(0.319824\pi\)
\(480\) −0.234771 1.66639i −0.0107158 0.0760600i
\(481\) 0.129324 0.858006i 0.00589665 0.0391217i
\(482\) −0.393036 + 5.24470i −0.0179023 + 0.238889i
\(483\) 5.40383 + 10.6153i 0.245883 + 0.483013i
\(484\) 0.0467508 + 0.623847i 0.00212504 + 0.0283567i
\(485\) 19.3722 + 1.45175i 0.879647 + 0.0659204i
\(486\) 2.19988 + 21.6152i 0.0997884 + 0.980484i
\(487\) −25.0589 17.0849i −1.13553 0.774189i −0.158511 0.987357i \(-0.550669\pi\)
−0.977015 + 0.213168i \(0.931622\pi\)
\(488\) −11.5691 14.5072i −0.523710 0.656711i
\(489\) −30.9133 15.2557i −1.39795 0.689886i
\(490\) −23.9459 16.7286i −1.08176 0.755722i
\(491\) −24.7567 14.2933i −1.11725 0.645047i −0.176556 0.984291i \(-0.556496\pi\)
−0.940699 + 0.339243i \(0.889829\pi\)
\(492\) −0.0654032 0.299838i −0.00294860 0.0135177i
\(493\) −2.94506 0.220701i −0.132639 0.00993989i
\(494\) −3.92049 12.7099i −0.176391 0.571846i
\(495\) −1.54086 2.35632i −0.0692563 0.105909i
\(496\) −4.97784 + 10.3366i −0.223512 + 0.464127i
\(497\) 5.98966 9.41308i 0.268673 0.422234i
\(498\) 32.7562 + 19.3350i 1.46784 + 0.866422i
\(499\) −3.25312 0.490328i −0.145629 0.0219501i 0.0758229 0.997121i \(-0.475842\pi\)
−0.221452 + 0.975171i \(0.571080\pi\)
\(500\) −0.160393 0.0772410i −0.00717297 0.00345432i
\(501\) −0.123056 0.564145i −0.00549774 0.0252041i
\(502\) −22.6658 + 5.17331i −1.01162 + 0.230896i
\(503\) 24.7346 + 31.0162i 1.10286 + 1.38294i 0.916297 + 0.400500i \(0.131163\pi\)
0.186563 + 0.982443i \(0.440265\pi\)
\(504\) −9.61958 + 20.6276i −0.428490 + 0.918826i
\(505\) 26.4159 33.1245i 1.17549 1.47402i
\(506\) 0.492718 1.02314i 0.0219040 0.0454841i
\(507\) 12.5997 + 11.9187i 0.559571 + 0.529330i
\(508\) 0.272634 0.0120962
\(509\) 0.704419 + 1.22009i 0.0312228 + 0.0540795i 0.881215 0.472716i \(-0.156727\pi\)
−0.849992 + 0.526796i \(0.823393\pi\)
\(510\) 8.03396 + 1.91532i 0.355750 + 0.0848118i
\(511\) 0.823080 + 0.441025i 0.0364109 + 0.0195098i
\(512\) 22.9332 + 5.23435i 1.01351 + 0.231328i
\(513\) 24.4243 + 15.0589i 1.07836 + 0.664866i
\(514\) 0.744170 4.93724i 0.0328239 0.217772i
\(515\) −41.0644 + 16.1166i −1.80952 + 0.710182i
\(516\) −0.121058 0.317410i −0.00532930 0.0139732i
\(517\) −1.92080 + 2.07013i −0.0844768 + 0.0910443i
\(518\) −0.0586934 1.85058i −0.00257884 0.0813097i
\(519\) 25.6832 7.65200i 1.12737 0.335886i
\(520\) 14.8368 0.650637
\(521\) −5.40436 9.36063i −0.236770 0.410097i 0.723016 0.690831i \(-0.242755\pi\)
−0.959785 + 0.280735i \(0.909422\pi\)
\(522\) −6.89939 + 8.31759i −0.301978 + 0.364051i
\(523\) −13.0314 19.1135i −0.569821 0.835774i 0.427859 0.903845i \(-0.359268\pi\)
−0.997680 + 0.0680711i \(0.978316\pi\)
\(524\) −0.170154 0.0256466i −0.00743322 0.00112038i
\(525\) −9.42724 15.5267i −0.411438 0.677641i
\(526\) −10.2380 + 1.54313i −0.446398 + 0.0672836i
\(527\) 2.29705 + 2.47563i 0.100061 + 0.107840i
\(528\) 2.05915 0.449159i 0.0896129 0.0195471i
\(529\) 13.4210 9.15031i 0.583523 0.397840i
\(530\) 16.7854 + 42.7684i 0.729110 + 1.85774i
\(531\) 32.9658 21.5572i 1.43060 0.935501i
\(532\) 0.387528 + 0.743455i 0.0168015 + 0.0322329i
\(533\) 5.32096 0.398751i 0.230476 0.0172718i
\(534\) 0.396168 41.1169i 0.0171439 1.77930i
\(535\) 46.8099 + 10.6840i 2.02377 + 0.461912i
\(536\) 16.5486 + 34.3635i 0.714790 + 1.48428i
\(537\) −5.30253 + 16.6201i −0.228821 + 0.717212i
\(538\) 5.89052 3.40089i 0.253958 0.146623i
\(539\) −1.11865 + 1.88759i −0.0481838 + 0.0813042i
\(540\) −0.671703 + 0.588053i −0.0289055 + 0.0253058i
\(541\) −18.9279 + 2.85292i −0.813773 + 0.122657i −0.542726 0.839910i \(-0.682608\pi\)
−0.271047 + 0.962566i \(0.587370\pi\)
\(542\) −2.90878 + 38.8149i −0.124943 + 1.66724i
\(543\) 4.57432 28.4837i 0.196303 1.22235i
\(544\) 0.208894 0.306391i 0.00895624 0.0131364i
\(545\) 44.3736 30.2534i 1.90075 1.29591i
\(546\) −9.25497 6.01511i −0.396076 0.257423i
\(547\) −7.49488 5.10992i −0.320458 0.218484i 0.392397 0.919796i \(-0.371646\pi\)
−0.712855 + 0.701311i \(0.752598\pi\)
\(548\) 0.106335 0.0417333i 0.00454239 0.00178276i
\(549\) −6.07834 + 18.4365i −0.259417 + 0.786849i
\(550\) −0.632673 + 1.61202i −0.0269773 + 0.0687370i
\(551\) 3.17577 + 13.9139i 0.135292 + 0.592754i
\(552\) −12.2993 3.92400i −0.523493 0.167016i
\(553\) −9.27844 + 26.0397i −0.394559 + 1.10732i
\(554\) 1.69284 0.664390i 0.0719218 0.0282272i
\(555\) 0.974546 2.41444i 0.0413672 0.102487i
\(556\) 0.237816 0.770981i 0.0100856 0.0326969i
\(557\) −22.7519 + 13.1358i −0.964028 + 0.556582i −0.897410 0.441197i \(-0.854554\pi\)
−0.0666176 + 0.997779i \(0.521221\pi\)
\(558\) 12.2528 1.60601i 0.518702 0.0679877i
\(559\) 5.75851 1.31434i 0.243559 0.0555908i
\(560\) 30.2459 5.54463i 1.27812 0.234304i
\(561\) 0.0983707 0.612542i 0.00415321 0.0258616i
\(562\) −38.5774 + 11.8996i −1.62729 + 0.501953i
\(563\) −9.42782 + 11.8221i −0.397335 + 0.498242i −0.939747 0.341870i \(-0.888940\pi\)
0.542412 + 0.840113i \(0.317511\pi\)
\(564\) 0.734975 + 0.511539i 0.0309480 + 0.0215397i
\(565\) −1.40480 0.320637i −0.0591005 0.0134893i
\(566\) −2.96021 + 12.9695i −0.124427 + 0.545150i
\(567\) 23.5695 3.38797i 0.989826 0.142281i
\(568\) 2.69082 + 11.7892i 0.112904 + 0.494666i
\(569\) 9.06008i 0.379818i 0.981802 + 0.189909i \(0.0608194\pi\)
−0.981802 + 0.189909i \(0.939181\pi\)
\(570\) −2.59901 39.8271i −0.108861 1.66818i
\(571\) 0.855331 + 3.74745i 0.0357945 + 0.156826i 0.989667 0.143387i \(-0.0457994\pi\)
−0.953872 + 0.300213i \(0.902942\pi\)
\(572\) −0.00232300 0.0309983i −9.71297e−5 0.00129611i
\(573\) 13.7299 19.7270i 0.573575 0.824107i
\(574\) 11.0145 2.88419i 0.459734 0.120384i
\(575\) 8.05542 6.42398i 0.335934 0.267899i
\(576\) −8.56134 23.1139i −0.356722 0.963080i
\(577\) −7.50417 2.94517i −0.312403 0.122609i 0.203960 0.978979i \(-0.434619\pi\)
−0.516362 + 0.856370i \(0.672714\pi\)
\(578\) −12.3222 18.0734i −0.512537 0.751753i
\(579\) −7.39883 5.14955i −0.307485 0.214008i
\(580\) −0.442798 0.0331831i −0.0183862 0.00137785i
\(581\) 19.6886 36.7447i 0.816821 1.52443i
\(582\) 15.5108 2.18526i 0.642944 0.0905818i
\(583\) 3.10938 1.49740i 0.128777 0.0620160i
\(584\) −0.967103 + 0.298312i −0.0400190 + 0.0123442i
\(585\) −8.49522 12.9911i −0.351234 0.537117i
\(586\) 4.17538 + 27.7019i 0.172484 + 1.14435i
\(587\) −0.643518 1.11461i −0.0265608 0.0460047i 0.852439 0.522826i \(-0.175122\pi\)
−0.879000 + 0.476821i \(0.841789\pi\)
\(588\) 0.642174 + 0.267747i 0.0264828 + 0.0110417i
\(589\) 8.16000 14.1335i 0.336227 0.582362i
\(590\) −51.0011 20.0165i −2.09968 0.824065i
\(591\) 6.16763 3.48209i 0.253703 0.143234i
\(592\) 1.42878 + 1.32572i 0.0587227 + 0.0544867i
\(593\) −2.45615 + 32.7751i −0.100862 + 1.34591i 0.685467 + 0.728104i \(0.259598\pi\)
−0.786329 + 0.617808i \(0.788021\pi\)
\(594\) −1.61879 1.59152i −0.0664198 0.0653007i
\(595\) 1.73343 8.88414i 0.0710636 0.364214i
\(596\) 0.276696 0.405838i 0.0113339 0.0166238i
\(597\) 15.6975 + 1.32857i 0.642455 + 0.0543748i
\(598\) 2.71651 5.64089i 0.111086 0.230673i
\(599\) −12.7675 + 10.1817i −0.521664 + 0.416013i −0.848601 0.529033i \(-0.822555\pi\)
0.326937 + 0.945046i \(0.393983\pi\)
\(600\) 19.1505 + 4.56555i 0.781818 + 0.186388i
\(601\) 16.3144 + 6.40294i 0.665479 + 0.261181i 0.673944 0.738783i \(-0.264599\pi\)
−0.00846442 + 0.999964i \(0.502694\pi\)
\(602\) 11.5805 4.97423i 0.471987 0.202734i
\(603\) 20.6134 34.1657i 0.839442 1.39134i
\(604\) −0.866019 + 0.590442i −0.0352378 + 0.0240247i
\(605\) −31.1894 9.62065i −1.26803 0.391135i
\(606\) 15.1182 30.6346i 0.614134 1.24445i
\(607\) −39.6638 + 22.8999i −1.60990 + 0.929477i −0.620512 + 0.784197i \(0.713075\pi\)
−0.989391 + 0.145280i \(0.953592\pi\)
\(608\) −1.71239 0.528202i −0.0694465 0.0214214i
\(609\) 9.42047 + 7.17826i 0.381737 + 0.290878i
\(610\) 25.8028 7.95910i 1.04472 0.322255i
\(611\) −10.5900 + 11.4133i −0.428425 + 0.461732i
\(612\) −0.196685 0.00379053i −0.00795051 0.000153223i
\(613\) 32.8290 + 4.94818i 1.32595 + 0.199855i 0.773556 0.633728i \(-0.218476\pi\)
0.552395 + 0.833583i \(0.313714\pi\)
\(614\) −1.11195 + 4.87179i −0.0448748 + 0.196609i
\(615\) 15.8088 + 2.53881i 0.637474 + 0.102375i
\(616\) −0.602407 2.30054i −0.0242717 0.0926912i
\(617\) 4.34990 14.1020i 0.175120 0.567726i −0.824877 0.565312i \(-0.808756\pi\)
0.999997 0.00241340i \(-0.000768211\pi\)
\(618\) −29.5809 + 19.7531i −1.18992 + 0.794588i
\(619\) 27.3827 + 15.8094i 1.10060 + 0.635434i 0.936380 0.350989i \(-0.114155\pi\)
0.164224 + 0.986423i \(0.447488\pi\)
\(620\) 0.345369 + 0.372219i 0.0138703 + 0.0149487i
\(621\) 3.60643 + 13.0161i 0.144721 + 0.522317i
\(622\) −23.2873 18.5710i −0.933738 0.744631i
\(623\) −45.0420 + 1.42856i −1.80457 + 0.0572342i
\(624\) 11.3527 2.47635i 0.454473 0.0991335i
\(625\) 21.3371 19.7979i 0.853483 0.791917i
\(626\) 20.3700 + 25.5432i 0.814149 + 1.02091i
\(627\) −2.96870 + 0.418248i −0.118558 + 0.0167032i
\(628\) 0.383324 + 0.305690i 0.0152963 + 0.0121984i
\(629\) 0.516923 0.248937i 0.0206111 0.00992577i
\(630\) −22.8286 23.9978i −0.909512 0.956094i
\(631\) −33.7671 16.2614i −1.34425 0.647355i −0.383180 0.923674i \(-0.625171\pi\)
−0.961066 + 0.276319i \(0.910885\pi\)
\(632\) −12.9994 26.9936i −0.517089 1.07375i
\(633\) −14.7833 + 18.1756i −0.587584 + 0.722417i
\(634\) −18.1334 + 8.73259i −0.720170 + 0.346816i
\(635\) −5.19670 + 13.2410i −0.206225 + 0.525453i
\(636\) −0.607721 0.910080i −0.0240977 0.0360870i
\(637\) −6.16749 + 10.4069i −0.244365 + 0.412335i
\(638\) 1.12913i 0.0447025i
\(639\) 8.78198 9.10633i 0.347410 0.360241i
\(640\) −18.2191 + 26.7225i −0.720172 + 1.05630i
\(641\) −7.81623 + 8.42389i −0.308722 + 0.332724i −0.868286 0.496064i \(-0.834778\pi\)
0.559564 + 0.828787i \(0.310969\pi\)
\(642\) 38.7126 + 0.373001i 1.52786 + 0.0147212i
\(643\) −0.614862 0.901838i −0.0242478 0.0355650i 0.813923 0.580972i \(-0.197327\pi\)
−0.838171 + 0.545407i \(0.816375\pi\)
\(644\) −0.104311 + 0.380610i −0.00411041 + 0.0149981i
\(645\) 17.7231 + 0.170765i 0.697847 + 0.00672387i
\(646\) 5.48348 6.87607i 0.215745 0.270535i
\(647\) −2.17441 29.0154i −0.0854847 1.14071i −0.860733 0.509057i \(-0.829994\pi\)
0.775248 0.631657i \(-0.217625\pi\)
\(648\) −15.3489 + 20.7474i −0.602960 + 0.815037i
\(649\) −1.21306 + 3.93264i −0.0476168 + 0.154370i
\(650\) −3.48812 + 8.88759i −0.136815 + 0.348600i
\(651\) −2.31360 13.3444i −0.0906773 0.523006i
\(652\) −0.417264 1.06317i −0.0163413 0.0416370i
\(653\) −32.6379 + 2.44587i −1.27722 + 0.0957144i −0.696006 0.718036i \(-0.745041\pi\)
−0.581214 + 0.813751i \(0.697422\pi\)
\(654\) 29.7585 31.4587i 1.16365 1.23013i
\(655\) 4.48890 7.77500i 0.175396 0.303794i
\(656\) −5.99294 + 10.3801i −0.233985 + 0.405274i
\(657\) 0.814943 + 0.675990i 0.0317940 + 0.0263729i
\(658\) −17.8354 + 28.0293i −0.695296 + 1.09269i
\(659\) 0.926394 + 3.00330i 0.0360872 + 0.116992i 0.971824 0.235706i \(-0.0757404\pi\)
−0.935737 + 0.352698i \(0.885264\pi\)
\(660\) 0.0147903 0.0920975i 0.000575713 0.00358489i
\(661\) −29.5963 23.6022i −1.15116 0.918020i −0.153622 0.988130i \(-0.549094\pi\)
−0.997539 + 0.0701092i \(0.977665\pi\)
\(662\) −2.98194 2.37802i −0.115896 0.0924243i
\(663\) 0.542348 3.37714i 0.0210631 0.131157i
\(664\) 13.3175 + 43.1743i 0.516819 + 1.67549i
\(665\) −43.4940 + 4.64994i −1.68662 + 0.180317i
\(666\) 0.352844 2.06955i 0.0136724 0.0801934i
\(667\) −3.35897 + 5.81791i −0.130060 + 0.225271i
\(668\) 0.00956514 0.0165673i 0.000370087 0.000641009i
\(669\) 19.1535 20.2478i 0.740518 0.782825i
\(670\) −55.3481 + 4.14777i −2.13829 + 0.160242i
\(671\) −0.741025 1.88810i −0.0286070 0.0728893i
\(672\) −1.37200 + 0.573725i −0.0529259 + 0.0221319i
\(673\) −15.1089 + 38.4968i −0.582404 + 1.48394i 0.270941 + 0.962596i \(0.412665\pi\)
−0.853345 + 0.521346i \(0.825430\pi\)
\(674\) 13.7470 44.5667i 0.529515 1.71665i
\(675\) −6.96756 19.3824i −0.268182 0.746028i
\(676\) 0.0429415 + 0.573014i 0.00165160 + 0.0220390i
\(677\) −10.7916 + 13.5323i −0.414756 + 0.520088i −0.944696 0.327948i \(-0.893643\pi\)
0.529940 + 0.848035i \(0.322214\pi\)
\(678\) −1.16180 0.0111941i −0.0446185 0.000429906i
\(679\) −3.09546 16.8857i −0.118793 0.648015i
\(680\) 5.52642 + 8.10577i 0.211928 + 0.310842i
\(681\) 25.3943 + 0.244678i 0.973112 + 0.00937609i
\(682\) −0.878221 + 0.946497i −0.0336288 + 0.0362432i
\(683\) 10.8565 15.9235i 0.415412 0.609297i −0.560318 0.828278i \(-0.689321\pi\)
0.975729 + 0.218981i \(0.0702733\pi\)
\(684\) 0.262653 + 0.913644i 0.0100428 + 0.0349341i
\(685\) 5.95982i 0.227713i
\(686\) −8.94048 + 24.2154i −0.341349 + 0.924548i
\(687\) 19.5034 + 29.2068i 0.744099 + 1.11431i
\(688\) −4.84730 + 12.3507i −0.184802 + 0.470867i
\(689\) 17.1430 8.25563i 0.653096 0.314515i
\(690\) 11.8546 14.5748i 0.451296 0.554855i
\(691\) −2.93571 6.09606i −0.111680 0.231905i 0.837636 0.546228i \(-0.183937\pi\)
−0.949316 + 0.314323i \(0.898223\pi\)
\(692\) 0.799950 + 0.385236i 0.0304095 + 0.0146445i
\(693\) −1.66943 + 1.84470i −0.0634163 + 0.0700745i
\(694\) −25.7352 + 12.3934i −0.976896 + 0.470448i
\(695\) 32.9111 + 26.2457i 1.24839 + 0.995556i
\(696\) −12.7110 + 1.79080i −0.481808 + 0.0678800i
\(697\) 2.19980 + 2.75846i 0.0833234 + 0.104484i
\(698\) 19.3586 17.9622i 0.732735 0.679879i
\(699\) −26.1281 + 5.69930i −0.988257 + 0.215567i
\(700\) 0.115249 0.590675i 0.00435602 0.0223254i
\(701\) −9.77946 7.79886i −0.369365 0.294559i 0.421163 0.906985i \(-0.361622\pi\)
−0.790528 + 0.612426i \(0.790194\pi\)
\(702\) −8.92490 8.77453i −0.336849 0.331173i
\(703\) −1.88583 2.03245i −0.0711256 0.0766551i
\(704\) 2.23035 + 1.28769i 0.0840594 + 0.0485317i
\(705\) −38.8533 + 25.9449i −1.46330 + 0.977142i
\(706\) 12.1227 39.3008i 0.456243 1.47910i
\(707\) −34.2304 15.1672i −1.28737 0.570421i
\(708\) 1.28848 + 0.206922i 0.0484240 + 0.00777662i
\(709\) 5.10958 22.3865i 0.191894 0.840743i −0.783696 0.621144i \(-0.786668\pi\)
0.975590 0.219599i \(-0.0704748\pi\)
\(710\) −17.4007 2.62273i −0.653037 0.0984294i
\(711\) −16.1924 + 26.8382i −0.607264 + 1.00651i
\(712\) 33.2212 35.8039i 1.24502 1.34181i
\(713\) 7.34079 2.26433i 0.274915 0.0847999i
\(714\) −0.161071 7.29676i −0.00602794 0.273074i
\(715\) 1.54977 + 0.478041i 0.0579581 + 0.0178777i
\(716\) −0.500554 + 0.288995i −0.0187066 + 0.0108003i
\(717\) −11.7205 + 23.7497i −0.437708 + 0.886948i
\(718\) 11.0157 + 3.39790i 0.411103 + 0.126809i
\(719\) −33.8690 + 23.0915i −1.26310 + 0.861167i −0.994768 0.102160i \(-0.967425\pi\)
−0.268331 + 0.963327i \(0.586472\pi\)
\(720\) 34.8607 + 0.671839i 1.29918 + 0.0250379i
\(721\) 22.9700 + 31.4971i 0.855448 + 1.17301i
\(722\) −14.9115 5.85234i −0.554949 0.217802i
\(723\) 6.35770 + 1.51569i 0.236445 + 0.0563693i
\(724\) 0.747268 0.595926i 0.0277720 0.0221474i
\(725\) 4.44494 9.23001i 0.165081 0.342794i
\(726\) −26.2241 2.21950i −0.973267 0.0823733i
\(727\) −8.95982 + 13.1416i −0.332301 + 0.487396i −0.955633 0.294562i \(-0.904826\pi\)
0.623331 + 0.781958i \(0.285779\pi\)
\(728\) −3.32126 12.6836i −0.123094 0.470084i
\(729\) 26.9549 + 1.55998i 0.998330 + 0.0577769i
\(730\) 0.110062 1.46867i 0.00407356 0.0543579i
\(731\) 2.86299 + 2.65647i 0.105892 + 0.0982531i
\(732\) −0.560068 + 0.316200i −0.0207007 + 0.0116871i
\(733\) 19.4597 + 7.63738i 0.718762 + 0.282093i 0.696397 0.717657i \(-0.254785\pi\)
0.0223647 + 0.999750i \(0.492880\pi\)
\(734\) 19.7682 34.2396i 0.729659 1.26381i
\(735\) −25.2441 + 26.0848i −0.931144 + 0.962152i
\(736\) −0.421762 0.730513i −0.0155463 0.0269271i
\(737\) 0.621384 + 4.12262i 0.0228890 + 0.151859i
\(738\) 12.8904 0.716542i 0.474502 0.0263763i
\(739\) −49.0976 + 15.1446i −1.80608 + 0.557103i −0.999425 0.0339131i \(-0.989203\pi\)
−0.806660 + 0.591016i \(0.798727\pi\)
\(740\) 0.0777209 0.0374284i 0.00285708 0.00137590i
\(741\) −16.3673 + 2.30593i −0.601270 + 0.0847105i
\(742\) 32.8041 23.9232i 1.20428 0.878247i
\(743\) −17.8154 1.33508i −0.653585 0.0489794i −0.256189 0.966627i \(-0.582467\pi\)
−0.397396 + 0.917647i \(0.630086\pi\)
\(744\) 12.0479 + 8.38529i 0.441698 + 0.307420i
\(745\) 14.4362 + 21.1740i 0.528900 + 0.775754i
\(746\) 15.4789 + 6.07503i 0.566724 + 0.222423i
\(747\) 30.1782 36.3814i 1.10416 1.33113i
\(748\) 0.0160700 0.0128154i 0.000587577 0.000468577i
\(749\) −1.34503 42.4081i −0.0491462 1.54956i
\(750\) 4.27819 6.14686i 0.156217 0.224452i
\(751\) 0.937701 + 12.5128i 0.0342172 + 0.456597i 0.987828 + 0.155553i \(0.0497160\pi\)
−0.953610 + 0.301044i \(0.902665\pi\)
\(752\) −7.78235 34.0967i −0.283793 1.24338i
\(753\) 1.88136 + 28.8298i 0.0685605 + 1.05062i
\(754\) 6.22522i 0.226709i
\(755\) −12.1686 53.3143i −0.442862 1.94030i
\(756\) 0.653072 + 0.442582i 0.0237520 + 0.0160966i
\(757\) 3.31310 14.5157i 0.120417 0.527580i −0.878354 0.478011i \(-0.841358\pi\)
0.998771 0.0495695i \(-0.0157849\pi\)
\(758\) −2.24404 0.512188i −0.0815073 0.0186035i
\(759\) −1.15829 0.806162i −0.0420431 0.0292618i
\(760\) 29.5588 37.0655i 1.07221 1.34451i
\(761\) −6.31743 + 1.94867i −0.229007 + 0.0706392i −0.407135 0.913368i \(-0.633472\pi\)
0.178128 + 0.984007i \(0.442996\pi\)
\(762\) −1.81860 + 11.3242i −0.0658809 + 0.410232i
\(763\) −35.7959 31.1614i −1.29590 1.12812i
\(764\) 0.776332 0.177193i 0.0280867 0.00641061i
\(765\) 3.93312 9.48011i 0.142202 0.342754i
\(766\) 30.9644 17.8773i 1.11879 0.645933i
\(767\) −6.68798 + 21.6819i −0.241489 + 0.782888i
\(768\) 0.892113 2.21021i 0.0321914 0.0797541i
\(769\) −43.6197 + 17.1195i −1.57297 + 0.617344i −0.981920 0.189295i \(-0.939380\pi\)
−0.591046 + 0.806638i \(0.701285\pi\)
\(770\) 3.43666 + 0.407049i 0.123849 + 0.0146690i
\(771\) −5.91127 1.88595i −0.212889 0.0679207i