Properties

Label 546.2.ch.a.305.10
Level $546$
Weight $2$
Character 546.305
Analytic conductor $4.360$
Analytic rank $0$
Dimension $152$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.ch (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(152\)
Relative dimension: \(38\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 305.10
Character \(\chi\) \(=\) 546.305
Dual form 546.2.ch.a.401.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.707107 - 0.707107i) q^{2} +(-0.222065 + 1.71776i) q^{3} +1.00000i q^{4} +(-0.998336 + 3.72584i) q^{5} +(1.37166 - 1.05761i) q^{6} +(0.528406 + 2.59245i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-2.90137 - 0.762906i) q^{9} +O(q^{10})\) \(q+(-0.707107 - 0.707107i) q^{2} +(-0.222065 + 1.71776i) q^{3} +1.00000i q^{4} +(-0.998336 + 3.72584i) q^{5} +(1.37166 - 1.05761i) q^{6} +(0.528406 + 2.59245i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-2.90137 - 0.762906i) q^{9} +(3.34050 - 1.92864i) q^{10} +(3.62146 + 0.970367i) q^{11} +(-1.71776 - 0.222065i) q^{12} +(3.53597 - 0.704936i) q^{13} +(1.45950 - 2.20678i) q^{14} +(-6.17839 - 2.54228i) q^{15} -1.00000 q^{16} -0.858136 q^{17} +(1.51213 + 2.59104i) q^{18} +(1.11317 + 4.15440i) q^{19} +(-3.72584 - 0.998336i) q^{20} +(-4.57053 + 0.331982i) q^{21} +(-1.87460 - 3.24691i) q^{22} -5.07846 q^{23} +(1.05761 + 1.37166i) q^{24} +(-8.55508 - 4.93928i) q^{25} +(-2.99877 - 2.00184i) q^{26} +(1.95478 - 4.81444i) q^{27} +(-2.59245 + 0.528406i) q^{28} +(2.97651 + 1.71849i) q^{29} +(2.57112 + 6.16644i) q^{30} +(-1.42522 - 5.31898i) q^{31} +(0.707107 + 0.707107i) q^{32} +(-2.47105 + 6.00530i) q^{33} +(0.606794 + 0.606794i) q^{34} +(-10.1866 - 0.619377i) q^{35} +(0.762906 - 2.90137i) q^{36} +(-4.06664 - 4.06664i) q^{37} +(2.15047 - 3.72473i) q^{38} +(0.425694 + 6.23047i) q^{39} +(1.92864 + 3.34050i) q^{40} +(0.774470 - 0.207519i) q^{41} +(3.46660 + 2.99711i) q^{42} +(1.15111 - 0.664595i) q^{43} +(-0.970367 + 3.62146i) q^{44} +(5.73901 - 10.0484i) q^{45} +(3.59102 + 3.59102i) q^{46} +(5.65698 + 1.51578i) q^{47} +(0.222065 - 1.71776i) q^{48} +(-6.44157 + 2.73973i) q^{49} +(2.55676 + 9.54195i) q^{50} +(0.190562 - 1.47407i) q^{51} +(0.704936 + 3.53597i) q^{52} +(4.07315 + 2.35163i) q^{53} +(-4.78656 + 2.02208i) q^{54} +(-7.23086 + 12.5242i) q^{55} +(2.20678 + 1.45950i) q^{56} +(-7.38344 + 0.989606i) q^{57} +(-0.889555 - 3.31987i) q^{58} +(10.2258 - 10.2258i) q^{59} +(2.54228 - 6.17839i) q^{60} +(-1.55221 + 2.68851i) q^{61} +(-2.75331 + 4.76887i) q^{62} +(0.444691 - 7.92479i) q^{63} -1.00000i q^{64} +(-0.903606 + 13.8782i) q^{65} +(5.99368 - 2.49909i) q^{66} +(-13.5156 - 3.62149i) q^{67} -0.858136i q^{68} +(1.12775 - 8.72357i) q^{69} +(6.76503 + 7.64096i) q^{70} +(0.326314 - 1.21782i) q^{71} +(-2.59104 + 1.51213i) q^{72} +(4.80475 - 1.28743i) q^{73} +5.75109i q^{74} +(10.3843 - 13.5987i) q^{75} +(-4.15440 + 1.11317i) q^{76} +(-0.602025 + 9.90119i) q^{77} +(4.10460 - 4.70662i) q^{78} +(7.06620 + 12.2390i) q^{79} +(0.998336 - 3.72584i) q^{80} +(7.83595 + 4.42695i) q^{81} +(-0.694371 - 0.400895i) q^{82} +(4.70571 + 4.70571i) q^{83} +(-0.331982 - 4.57053i) q^{84} +(0.856708 - 3.19728i) q^{85} +(-1.28390 - 0.344020i) q^{86} +(-3.61292 + 4.73130i) q^{87} +(3.24691 - 1.87460i) q^{88} +(-0.827250 + 0.827250i) q^{89} +(-11.1634 + 3.04721i) q^{90} +(3.69594 + 8.79432i) q^{91} -5.07846i q^{92} +(9.45321 - 1.26702i) q^{93} +(-2.92827 - 5.07191i) q^{94} -16.5899 q^{95} +(-1.37166 + 1.05761i) q^{96} +(-3.55976 - 0.953834i) q^{97} +(6.49216 + 2.61760i) q^{98} +(-9.76690 - 5.57823i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 152q + 8q^{7} + O(q^{10}) \) \( 152q + 8q^{7} - 152q^{16} - 8q^{18} + 36q^{19} + 8q^{21} + 24q^{27} - 12q^{28} - 24q^{30} - 36q^{31} + 12q^{33} + 24q^{36} - 12q^{37} - 8q^{39} - 36q^{42} + 84q^{43} - 40q^{45} + 8q^{46} + 4q^{49} - 20q^{52} - 12q^{54} + 16q^{55} - 8q^{57} + 8q^{58} + 24q^{60} - 32q^{61} - 28q^{63} + 16q^{66} + 92q^{67} + 84q^{69} - 8q^{72} + 84q^{73} - 48q^{76} - 8q^{78} + 32q^{79} - 24q^{81} - 48q^{82} - 8q^{84} - 152q^{85} - 96q^{87} - 88q^{91} - 48q^{93} + 32q^{94} - 100q^{97} + 16q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(-1\) \(e\left(\frac{5}{12}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.707107 0.707107i −0.500000 0.500000i
\(3\) −0.222065 + 1.71776i −0.128209 + 0.991747i
\(4\) 1.00000i 0.500000i
\(5\) −0.998336 + 3.72584i −0.446469 + 1.66625i 0.265558 + 0.964095i \(0.414444\pi\)
−0.712028 + 0.702151i \(0.752223\pi\)
\(6\) 1.37166 1.05761i 0.559978 0.431769i
\(7\) 0.528406 + 2.59245i 0.199719 + 0.979853i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) −2.90137 0.762906i −0.967125 0.254302i
\(10\) 3.34050 1.92864i 1.05636 0.609888i
\(11\) 3.62146 + 0.970367i 1.09191 + 0.292577i 0.759466 0.650546i \(-0.225460\pi\)
0.332444 + 0.943123i \(0.392127\pi\)
\(12\) −1.71776 0.222065i −0.495874 0.0641046i
\(13\) 3.53597 0.704936i 0.980701 0.195514i
\(14\) 1.45950 2.20678i 0.390067 0.589786i
\(15\) −6.17839 2.54228i −1.59525 0.656413i
\(16\) −1.00000 −0.250000
\(17\) −0.858136 −0.208129 −0.104064 0.994571i \(-0.533185\pi\)
−0.104064 + 0.994571i \(0.533185\pi\)
\(18\) 1.51213 + 2.59104i 0.356411 + 0.610713i
\(19\) 1.11317 + 4.15440i 0.255378 + 0.953084i 0.967880 + 0.251414i \(0.0808955\pi\)
−0.712501 + 0.701671i \(0.752438\pi\)
\(20\) −3.72584 0.998336i −0.833123 0.223235i
\(21\) −4.57053 + 0.331982i −0.997372 + 0.0724443i
\(22\) −1.87460 3.24691i −0.399667 0.692243i
\(23\) −5.07846 −1.05893 −0.529467 0.848331i \(-0.677608\pi\)
−0.529467 + 0.848331i \(0.677608\pi\)
\(24\) 1.05761 + 1.37166i 0.215884 + 0.279989i
\(25\) −8.55508 4.93928i −1.71102 0.987856i
\(26\) −2.99877 2.00184i −0.588107 0.392593i
\(27\) 1.95478 4.81444i 0.376198 0.926539i
\(28\) −2.59245 + 0.528406i −0.489927 + 0.0998594i
\(29\) 2.97651 + 1.71849i 0.552724 + 0.319115i 0.750220 0.661188i \(-0.229948\pi\)
−0.197496 + 0.980304i \(0.563281\pi\)
\(30\) 2.57112 + 6.16644i 0.469420 + 1.12583i
\(31\) −1.42522 5.31898i −0.255977 0.955318i −0.967545 0.252700i \(-0.918681\pi\)
0.711568 0.702617i \(-0.247985\pi\)
\(32\) 0.707107 + 0.707107i 0.125000 + 0.125000i
\(33\) −2.47105 + 6.00530i −0.430155 + 1.04539i
\(34\) 0.606794 + 0.606794i 0.104064 + 0.104064i
\(35\) −10.1866 0.619377i −1.72185 0.104694i
\(36\) 0.762906 2.90137i 0.127151 0.483562i
\(37\) −4.06664 4.06664i −0.668551 0.668551i 0.288830 0.957381i \(-0.406734\pi\)
−0.957381 + 0.288830i \(0.906734\pi\)
\(38\) 2.15047 3.72473i 0.348853 0.604231i
\(39\) 0.425694 + 6.23047i 0.0681656 + 0.997674i
\(40\) 1.92864 + 3.34050i 0.304944 + 0.528179i
\(41\) 0.774470 0.207519i 0.120952 0.0324090i −0.197835 0.980235i \(-0.563391\pi\)
0.318787 + 0.947826i \(0.396724\pi\)
\(42\) 3.46660 + 2.99711i 0.534908 + 0.462464i
\(43\) 1.15111 0.664595i 0.175543 0.101350i −0.409654 0.912241i \(-0.634351\pi\)
0.585197 + 0.810891i \(0.301017\pi\)
\(44\) −0.970367 + 3.62146i −0.146288 + 0.545955i
\(45\) 5.73901 10.0484i 0.855522 1.49793i
\(46\) 3.59102 + 3.59102i 0.529467 + 0.529467i
\(47\) 5.65698 + 1.51578i 0.825156 + 0.221100i 0.646599 0.762830i \(-0.276191\pi\)
0.178557 + 0.983930i \(0.442857\pi\)
\(48\) 0.222065 1.71776i 0.0320523 0.247937i
\(49\) −6.44157 + 2.73973i −0.920225 + 0.391390i
\(50\) 2.55676 + 9.54195i 0.361580 + 1.34944i
\(51\) 0.190562 1.47407i 0.0266840 0.206411i
\(52\) 0.704936 + 3.53597i 0.0977570 + 0.490350i
\(53\) 4.07315 + 2.35163i 0.559490 + 0.323022i 0.752941 0.658088i \(-0.228635\pi\)
−0.193451 + 0.981110i \(0.561968\pi\)
\(54\) −4.78656 + 2.02208i −0.651369 + 0.275171i
\(55\) −7.23086 + 12.5242i −0.975009 + 1.68877i
\(56\) 2.20678 + 1.45950i 0.294893 + 0.195034i
\(57\) −7.38344 + 0.989606i −0.977961 + 0.131076i
\(58\) −0.889555 3.31987i −0.116804 0.435920i
\(59\) 10.2258 10.2258i 1.33128 1.33128i 0.427059 0.904224i \(-0.359550\pi\)
0.904224 0.427059i \(-0.140450\pi\)
\(60\) 2.54228 6.17839i 0.328206 0.797627i
\(61\) −1.55221 + 2.68851i −0.198741 + 0.344229i −0.948120 0.317912i \(-0.897018\pi\)
0.749380 + 0.662141i \(0.230352\pi\)
\(62\) −2.75331 + 4.76887i −0.349671 + 0.605647i
\(63\) 0.444691 7.92479i 0.0560258 0.998429i
\(64\) 1.00000i 0.125000i
\(65\) −0.903606 + 13.8782i −0.112079 + 1.72138i
\(66\) 5.99368 2.49909i 0.737771 0.307617i
\(67\) −13.5156 3.62149i −1.65119 0.442435i −0.691245 0.722621i \(-0.742937\pi\)
−0.959946 + 0.280186i \(0.909604\pi\)
\(68\) 0.858136i 0.104064i
\(69\) 1.12775 8.72357i 0.135765 1.05019i
\(70\) 6.76503 + 7.64096i 0.808576 + 0.913269i
\(71\) 0.326314 1.21782i 0.0387264 0.144529i −0.943856 0.330358i \(-0.892830\pi\)
0.982582 + 0.185829i \(0.0594971\pi\)
\(72\) −2.59104 + 1.51213i −0.305357 + 0.178206i
\(73\) 4.80475 1.28743i 0.562353 0.150682i 0.0335659 0.999437i \(-0.489314\pi\)
0.528787 + 0.848754i \(0.322647\pi\)
\(74\) 5.75109i 0.668551i
\(75\) 10.3843 13.5987i 1.19907 1.57024i
\(76\) −4.15440 + 1.11317i −0.476542 + 0.127689i
\(77\) −0.602025 + 9.90119i −0.0686071 + 1.12834i
\(78\) 4.10460 4.70662i 0.464754 0.532920i
\(79\) 7.06620 + 12.2390i 0.795010 + 1.37700i 0.922833 + 0.385200i \(0.125868\pi\)
−0.127823 + 0.991797i \(0.540799\pi\)
\(80\) 0.998336 3.72584i 0.111617 0.416562i
\(81\) 7.83595 + 4.42695i 0.870661 + 0.491884i
\(82\) −0.694371 0.400895i −0.0766804 0.0442715i
\(83\) 4.70571 + 4.70571i 0.516519 + 0.516519i 0.916516 0.399998i \(-0.130989\pi\)
−0.399998 + 0.916516i \(0.630989\pi\)
\(84\) −0.331982 4.57053i −0.0362222 0.498686i
\(85\) 0.856708 3.19728i 0.0929230 0.346793i
\(86\) −1.28390 0.344020i −0.138446 0.0370966i
\(87\) −3.61292 + 4.73130i −0.387346 + 0.507249i
\(88\) 3.24691 1.87460i 0.346122 0.199833i
\(89\) −0.827250 + 0.827250i −0.0876883 + 0.0876883i −0.749590 0.661902i \(-0.769749\pi\)
0.661902 + 0.749590i \(0.269749\pi\)
\(90\) −11.1634 + 3.04721i −1.17673 + 0.321204i
\(91\) 3.69594 + 8.79432i 0.387439 + 0.921895i
\(92\) 5.07846i 0.529467i
\(93\) 9.45321 1.26702i 0.980252 0.131384i
\(94\) −2.92827 5.07191i −0.302028 0.523128i
\(95\) −16.5899 −1.70209
\(96\) −1.37166 + 1.05761i −0.139995 + 0.107942i
\(97\) −3.55976 0.953834i −0.361439 0.0968472i 0.0735295 0.997293i \(-0.476574\pi\)
−0.434968 + 0.900446i \(0.643240\pi\)
\(98\) 6.49216 + 2.61760i 0.655807 + 0.264417i
\(99\) −9.76690 5.57823i −0.981611 0.560633i
\(100\) 4.93928 8.55508i 0.493928 0.855508i
\(101\) 8.62305 + 14.9356i 0.858025 + 1.48614i 0.873810 + 0.486268i \(0.161642\pi\)
−0.0157846 + 0.999875i \(0.505025\pi\)
\(102\) −1.17707 + 0.907577i −0.116547 + 0.0898635i
\(103\) 16.2604 9.38793i 1.60218 0.925021i 0.611133 0.791528i \(-0.290714\pi\)
0.991050 0.133493i \(-0.0426193\pi\)
\(104\) 2.00184 2.99877i 0.196297 0.294054i
\(105\) 3.32602 17.3605i 0.324586 1.69421i
\(106\) −1.21730 4.54301i −0.118234 0.441256i
\(107\) 15.5123i 1.49963i −0.661647 0.749815i \(-0.730142\pi\)
0.661647 0.749815i \(-0.269858\pi\)
\(108\) 4.81444 + 1.95478i 0.463270 + 0.188099i
\(109\) −0.377448 1.40866i −0.0361530 0.134925i 0.945491 0.325649i \(-0.105583\pi\)
−0.981644 + 0.190725i \(0.938916\pi\)
\(110\) 13.9689 3.74297i 1.33189 0.356878i
\(111\) 7.88855 6.08244i 0.748748 0.577319i
\(112\) −0.528406 2.59245i −0.0499297 0.244963i
\(113\) −6.29558 + 3.63476i −0.592239 + 0.341929i −0.765982 0.642862i \(-0.777747\pi\)
0.173743 + 0.984791i \(0.444414\pi\)
\(114\) 5.92064 + 4.52112i 0.554519 + 0.423442i
\(115\) 5.07001 18.9215i 0.472781 1.76444i
\(116\) −1.71849 + 2.97651i −0.159558 + 0.276362i
\(117\) −10.7970 0.652330i −0.998180 0.0603079i
\(118\) −14.4614 −1.33128
\(119\) −0.453444 2.22467i −0.0415672 0.203935i
\(120\) −6.16644 + 2.57112i −0.562917 + 0.234710i
\(121\) 2.64706 + 1.52828i 0.240642 + 0.138935i
\(122\) 2.99865 0.803485i 0.271485 0.0727441i
\(123\) 0.184484 + 1.37643i 0.0166344 + 0.124109i
\(124\) 5.31898 1.42522i 0.477659 0.127988i
\(125\) 13.3063 13.3063i 1.19015 1.19015i
\(126\) −5.91811 + 5.28923i −0.527228 + 0.471202i
\(127\) −2.86221 1.65250i −0.253980 0.146636i 0.367605 0.929982i \(-0.380178\pi\)
−0.621585 + 0.783346i \(0.713511\pi\)
\(128\) −0.707107 + 0.707107i −0.0625000 + 0.0625000i
\(129\) 0.885992 + 2.12492i 0.0780072 + 0.187088i
\(130\) 10.4523 9.17443i 0.916729 0.804651i
\(131\) −10.0080 + 5.77814i −0.874406 + 0.504839i −0.868810 0.495146i \(-0.835115\pi\)
−0.00559642 + 0.999984i \(0.501781\pi\)
\(132\) −6.00530 2.47105i −0.522694 0.215077i
\(133\) −10.1819 + 5.08104i −0.882879 + 0.440582i
\(134\) 6.99618 + 12.1177i 0.604378 + 1.04681i
\(135\) 15.9863 + 12.0896i 1.37588 + 1.04051i
\(136\) −0.606794 + 0.606794i −0.0520321 + 0.0520321i
\(137\) −13.9712 + 13.9712i −1.19364 + 1.19364i −0.217606 + 0.976037i \(0.569825\pi\)
−0.976037 + 0.217606i \(0.930175\pi\)
\(138\) −6.96593 + 5.37105i −0.592979 + 0.457215i
\(139\) −2.39445 4.14730i −0.203094 0.351770i 0.746430 0.665464i \(-0.231766\pi\)
−0.949524 + 0.313695i \(0.898433\pi\)
\(140\) 0.619377 10.1866i 0.0523469 0.860923i
\(141\) −3.85996 + 9.38072i −0.325068 + 0.789999i
\(142\) −1.09187 + 0.630391i −0.0916276 + 0.0529012i
\(143\) 13.4894 + 0.878291i 1.12804 + 0.0734463i
\(144\) 2.90137 + 0.762906i 0.241781 + 0.0635755i
\(145\) −9.37437 + 9.37437i −0.778499 + 0.778499i
\(146\) −4.30782 2.48712i −0.356518 0.205836i
\(147\) −3.27574 11.6735i −0.270179 0.962810i
\(148\) 4.06664 4.06664i 0.334276 0.334276i
\(149\) 6.29700 1.68728i 0.515871 0.138227i 0.00851475 0.999964i \(-0.497290\pi\)
0.507356 + 0.861737i \(0.330623\pi\)
\(150\) −16.9585 + 2.27296i −1.38466 + 0.185586i
\(151\) 16.8335 4.51053i 1.36989 0.367062i 0.502454 0.864604i \(-0.332431\pi\)
0.867440 + 0.497542i \(0.165764\pi\)
\(152\) 3.72473 + 2.15047i 0.302116 + 0.174427i
\(153\) 2.48977 + 0.654678i 0.201286 + 0.0529275i
\(154\) 7.42689 6.57550i 0.598476 0.529869i
\(155\) 21.2405 1.70608
\(156\) −6.23047 + 0.425694i −0.498837 + 0.0340828i
\(157\) −10.1263 + 17.5393i −0.808171 + 1.39979i 0.105959 + 0.994370i \(0.466209\pi\)
−0.914130 + 0.405422i \(0.867125\pi\)
\(158\) 3.65773 13.6508i 0.290994 1.08600i
\(159\) −4.94404 + 6.47446i −0.392088 + 0.513458i
\(160\) −3.34050 + 1.92864i −0.264089 + 0.152472i
\(161\) −2.68349 13.1657i −0.211489 1.03760i
\(162\) −2.41052 8.67118i −0.189389 0.681272i
\(163\) 5.94888 1.59400i 0.465952 0.124851i −0.0182019 0.999834i \(-0.505794\pi\)
0.484154 + 0.874983i \(0.339127\pi\)
\(164\) 0.207519 + 0.774470i 0.0162045 + 0.0604759i
\(165\) −19.9078 15.2020i −1.54982 1.18348i
\(166\) 6.65488i 0.516519i
\(167\) −4.58101 17.0966i −0.354489 1.32297i −0.881126 0.472882i \(-0.843214\pi\)
0.526637 0.850091i \(-0.323453\pi\)
\(168\) −2.99711 + 3.46660i −0.231232 + 0.267454i
\(169\) 12.0061 4.98526i 0.923549 0.383481i
\(170\) −2.86660 + 1.65503i −0.219858 + 0.126935i
\(171\) −0.0602994 12.9027i −0.00461121 0.986695i
\(172\) 0.664595 + 1.15111i 0.0506749 + 0.0877716i
\(173\) 1.18509 2.05264i 0.0901007 0.156059i −0.817453 0.575996i \(-0.804614\pi\)
0.907553 + 0.419937i \(0.137948\pi\)
\(174\) 5.90026 0.790814i 0.447297 0.0599515i
\(175\) 8.28427 24.7885i 0.626232 1.87384i
\(176\) −3.62146 0.970367i −0.272978 0.0731441i
\(177\) 15.2946 + 19.8362i 1.14961 + 1.49098i
\(178\) 1.16991 0.0876883
\(179\) 4.70383 + 8.14728i 0.351581 + 0.608956i 0.986527 0.163601i \(-0.0523109\pi\)
−0.634946 + 0.772557i \(0.718978\pi\)
\(180\) 10.0484 + 5.73901i 0.748965 + 0.427761i
\(181\) 24.3790i 1.81207i 0.423198 + 0.906037i \(0.360907\pi\)
−0.423198 + 0.906037i \(0.639093\pi\)
\(182\) 3.60510 8.83194i 0.267228 0.654667i
\(183\) −4.27352 3.26335i −0.315908 0.241234i
\(184\) −3.59102 + 3.59102i −0.264733 + 0.264733i
\(185\) 19.2115 11.0918i 1.41246 0.815483i
\(186\) −7.58034 5.78851i −0.555818 0.424434i
\(187\) −3.10770 0.832707i −0.227258 0.0608935i
\(188\) −1.51578 + 5.65698i −0.110550 + 0.412578i
\(189\) 13.5141 + 2.52369i 0.983006 + 0.183571i
\(190\) 11.7309 + 11.7309i 0.851046 + 0.851046i
\(191\) −14.0745 8.12590i −1.01839 0.587969i −0.104755 0.994498i \(-0.533406\pi\)
−0.913638 + 0.406529i \(0.866739\pi\)
\(192\) 1.71776 + 0.222065i 0.123968 + 0.0160261i
\(193\) 0.633195 2.36312i 0.0455784 0.170101i −0.939385 0.342864i \(-0.888603\pi\)
0.984963 + 0.172763i \(0.0552696\pi\)
\(194\) 1.84267 + 3.19159i 0.132296 + 0.229143i
\(195\) −23.6387 4.63404i −1.69280 0.331850i
\(196\) −2.73973 6.44157i −0.195695 0.460112i
\(197\) −17.2752 + 4.62888i −1.23081 + 0.329794i −0.814894 0.579610i \(-0.803205\pi\)
−0.415914 + 0.909404i \(0.636538\pi\)
\(198\) 2.96184 + 10.8506i 0.210489 + 0.771122i
\(199\) 8.83542i 0.626326i 0.949699 + 0.313163i \(0.101389\pi\)
−0.949699 + 0.313163i \(0.898611\pi\)
\(200\) −9.54195 + 2.55676i −0.674718 + 0.180790i
\(201\) 9.22217 22.4123i 0.650482 1.58084i
\(202\) 4.46362 16.6584i 0.314059 1.17208i
\(203\) −2.88229 + 8.62451i −0.202297 + 0.605322i
\(204\) 1.47407 + 0.190562i 0.103205 + 0.0133420i
\(205\) 3.09272i 0.216005i
\(206\) −18.1361 4.85955i −1.26360 0.338581i
\(207\) 14.7345 + 3.87439i 1.02412 + 0.269289i
\(208\) −3.53597 + 0.704936i −0.245175 + 0.0488785i
\(209\) 16.1252i 1.11540i
\(210\) −14.6276 + 9.92388i −1.00940 + 0.684813i
\(211\) 9.92000 17.1820i 0.682921 1.18285i −0.291164 0.956673i \(-0.594043\pi\)
0.974085 0.226181i \(-0.0726241\pi\)
\(212\) −2.35163 + 4.07315i −0.161511 + 0.279745i
\(213\) 2.01946 + 0.830964i 0.138371 + 0.0569367i
\(214\) −10.9688 + 10.9688i −0.749815 + 0.749815i
\(215\) 1.32698 + 4.95235i 0.0904992 + 0.337748i
\(216\) −2.02208 4.78656i −0.137585 0.325684i
\(217\) 13.0361 6.50539i 0.884948 0.441614i
\(218\) −0.729174 + 1.26297i −0.0493859 + 0.0855389i
\(219\) 1.14452 + 8.53928i 0.0773397 + 0.577031i
\(220\) −12.5242 7.23086i −0.844383 0.487505i
\(221\) −3.03434 + 0.604931i −0.204112 + 0.0406920i
\(222\) −9.87898 1.27712i −0.663034 0.0857144i
\(223\) 1.25289 + 4.67584i 0.0838995 + 0.313117i 0.995104 0.0988382i \(-0.0315126\pi\)
−0.911204 + 0.411955i \(0.864846\pi\)
\(224\) −1.45950 + 2.20678i −0.0975168 + 0.147446i
\(225\) 21.0533 + 20.8574i 1.40355 + 1.39049i
\(226\) 7.02181 + 1.88149i 0.467084 + 0.125155i
\(227\) 7.10864 + 7.10864i 0.471817 + 0.471817i 0.902502 0.430685i \(-0.141728\pi\)
−0.430685 + 0.902502i \(0.641728\pi\)
\(228\) −0.989606 7.38344i −0.0655382 0.488980i
\(229\) −0.443341 + 1.65457i −0.0292968 + 0.109337i −0.979026 0.203736i \(-0.934692\pi\)
0.949729 + 0.313073i \(0.101358\pi\)
\(230\) −16.9646 + 9.79451i −1.11861 + 0.645831i
\(231\) −16.8741 3.23284i −1.11024 0.212705i
\(232\) 3.31987 0.889555i 0.217960 0.0584022i
\(233\) 7.49512 + 12.9819i 0.491022 + 0.850474i 0.999947 0.0103366i \(-0.00329030\pi\)
−0.508925 + 0.860811i \(0.669957\pi\)
\(234\) 7.17334 + 8.09587i 0.468936 + 0.529244i
\(235\) −11.2951 + 19.5638i −0.736814 + 1.27620i
\(236\) 10.2258 + 10.2258i 0.665641 + 0.665641i
\(237\) −22.5928 + 9.42016i −1.46756 + 0.611905i
\(238\) −1.25245 + 1.89372i −0.0811842 + 0.122751i
\(239\) 7.39507 + 7.39507i 0.478347 + 0.478347i 0.904603 0.426256i \(-0.140168\pi\)
−0.426256 + 0.904603i \(0.640168\pi\)
\(240\) 6.17839 + 2.54228i 0.398813 + 0.164103i
\(241\) 5.84548 + 5.84548i 0.376540 + 0.376540i 0.869852 0.493312i \(-0.164214\pi\)
−0.493312 + 0.869852i \(0.664214\pi\)
\(242\) −0.791097 2.95241i −0.0508536 0.189788i
\(243\) −9.34452 + 12.4772i −0.599451 + 0.800411i
\(244\) −2.68851 1.55221i −0.172114 0.0993703i
\(245\) −3.77694 26.7354i −0.241300 1.70806i
\(246\) 0.842835 1.10373i 0.0537372 0.0703716i
\(247\) 6.86471 + 13.9051i 0.436791 + 0.884761i
\(248\) −4.76887 2.75331i −0.302824 0.174835i
\(249\) −9.12823 + 7.03829i −0.578478 + 0.446033i
\(250\) −18.8179 −1.19015
\(251\) 0.193651 + 0.335414i 0.0122232 + 0.0211711i 0.872072 0.489377i \(-0.162776\pi\)
−0.859849 + 0.510548i \(0.829442\pi\)
\(252\) 7.92479 + 0.444691i 0.499215 + 0.0280129i
\(253\) −18.3914 4.92797i −1.15626 0.309819i
\(254\) 0.855396 + 3.19238i 0.0536723 + 0.200308i
\(255\) 5.30190 + 2.18162i 0.332018 + 0.136618i
\(256\) 1.00000 0.0625000
\(257\) −27.7372 −1.73020 −0.865100 0.501599i \(-0.832745\pi\)
−0.865100 + 0.501599i \(0.832745\pi\)
\(258\) 0.876051 2.12903i 0.0545406 0.132548i
\(259\) 8.39371 12.6914i 0.521560 0.788604i
\(260\) −13.8782 0.903606i −0.860690 0.0560393i
\(261\) −7.32492 7.25678i −0.453401 0.449183i
\(262\) 11.1625 + 2.99099i 0.689623 + 0.184784i
\(263\) −8.05209 + 4.64888i −0.496513 + 0.286662i −0.727273 0.686349i \(-0.759212\pi\)
0.230759 + 0.973011i \(0.425879\pi\)
\(264\) 2.49909 + 5.99368i 0.153808 + 0.368886i
\(265\) −12.8282 + 12.8282i −0.788029 + 0.788029i
\(266\) 10.7925 + 3.60682i 0.661731 + 0.221149i
\(267\) −1.23731 1.60472i −0.0757222 0.0982071i
\(268\) 3.62149 13.5156i 0.221218 0.825595i
\(269\) 14.8168i 0.903394i −0.892171 0.451697i \(-0.850819\pi\)
0.892171 0.451697i \(-0.149181\pi\)
\(270\) −2.75537 19.8527i −0.167686 1.20820i
\(271\) 21.1857 + 21.1857i 1.28694 + 1.28694i 0.936637 + 0.350301i \(0.113921\pi\)
0.350301 + 0.936637i \(0.386079\pi\)
\(272\) 0.858136 0.0520321
\(273\) −15.9272 + 4.39581i −0.963960 + 0.266046i
\(274\) 19.7583 1.19364
\(275\) −26.1889 26.1889i −1.57925 1.57925i
\(276\) 8.72357 + 1.12775i 0.525097 + 0.0678825i
\(277\) 18.5553i 1.11488i 0.830217 + 0.557441i \(0.188217\pi\)
−0.830217 + 0.557441i \(0.811783\pi\)
\(278\) −1.23946 + 4.62572i −0.0743377 + 0.277432i
\(279\) 0.0772028 + 16.5197i 0.00462201 + 0.989007i
\(280\) −7.64096 + 6.76503i −0.456635 + 0.404288i
\(281\) 19.6555 19.6555i 1.17255 1.17255i 0.190951 0.981600i \(-0.438843\pi\)
0.981600 0.190951i \(-0.0611570\pi\)
\(282\) 9.36258 3.90376i 0.557533 0.232466i
\(283\) −19.2652 + 11.1228i −1.14520 + 0.661181i −0.947713 0.319125i \(-0.896611\pi\)
−0.197486 + 0.980306i \(0.563278\pi\)
\(284\) 1.21782 + 0.326314i 0.0722644 + 0.0193632i
\(285\) 3.68404 28.4975i 0.218224 1.68804i
\(286\) −8.91740 10.1595i −0.527297 0.600743i
\(287\) 0.947216 + 1.89812i 0.0559124 + 0.112042i
\(288\) −1.51213 2.59104i −0.0891028 0.152678i
\(289\) −16.2636 −0.956682
\(290\) 13.2574 0.778499
\(291\) 2.42895 5.90298i 0.142388 0.346039i
\(292\) 1.28743 + 4.80475i 0.0753410 + 0.281177i
\(293\) 0.436492 + 0.116958i 0.0255001 + 0.00683274i 0.271547 0.962425i \(-0.412465\pi\)
−0.246046 + 0.969258i \(0.579132\pi\)
\(294\) −5.93808 + 10.5707i −0.346316 + 0.616494i
\(295\) 27.8909 + 48.3084i 1.62387 + 2.81262i
\(296\) −5.75109 −0.334276
\(297\) 11.7509 15.5384i 0.681858 0.901631i
\(298\) −5.64574 3.25957i −0.327049 0.188822i
\(299\) −17.9573 + 3.57999i −1.03850 + 0.207036i
\(300\) 13.5987 + 10.3843i 0.785122 + 0.599535i
\(301\) 2.33118 + 2.63302i 0.134367 + 0.151765i
\(302\) −15.0925 8.71368i −0.868478 0.501416i
\(303\) −27.5705 + 11.4956i −1.58389 + 0.660407i
\(304\) −1.11317 4.15440i −0.0638445 0.238271i
\(305\) −8.46734 8.46734i −0.484838 0.484838i
\(306\) −1.29761 2.22346i −0.0741794 0.127107i
\(307\) −1.88568 1.88568i −0.107622 0.107622i 0.651245 0.758867i \(-0.274247\pi\)
−0.758867 + 0.651245i \(0.774247\pi\)
\(308\) −9.90119 0.602025i −0.564172 0.0343036i
\(309\) 12.5153 + 30.0161i 0.711972 + 1.70756i
\(310\) −15.0193 15.0193i −0.853040 0.853040i
\(311\) 6.16349 10.6755i 0.349499 0.605351i −0.636661 0.771144i \(-0.719685\pi\)
0.986161 + 0.165793i \(0.0530183\pi\)
\(312\) 4.70662 + 4.10460i 0.266460 + 0.232377i
\(313\) 3.28838 + 5.69564i 0.185870 + 0.321937i 0.943869 0.330319i \(-0.107156\pi\)
−0.757999 + 0.652256i \(0.773823\pi\)
\(314\) 19.5626 5.24178i 1.10398 0.295811i
\(315\) 29.0825 + 9.56845i 1.63862 + 0.539121i
\(316\) −12.2390 + 7.06620i −0.688499 + 0.397505i
\(317\) 0.110640 0.412915i 0.00621418 0.0231916i −0.962749 0.270396i \(-0.912845\pi\)
0.968963 + 0.247205i \(0.0795120\pi\)
\(318\) 8.07410 1.08217i 0.452773 0.0606854i
\(319\) 9.11174 + 9.11174i 0.510159 + 0.510159i
\(320\) 3.72584 + 0.998336i 0.208281 + 0.0558087i
\(321\) 26.6463 + 3.44473i 1.48725 + 0.192266i
\(322\) −7.41201 + 11.2070i −0.413055 + 0.624544i
\(323\) −0.955250 3.56504i −0.0531515 0.198364i
\(324\) −4.42695 + 7.83595i −0.245942 + 0.435330i
\(325\) −33.7324 11.4343i −1.87113 0.634263i
\(326\) −5.33362 3.07937i −0.295402 0.170550i
\(327\) 2.50355 0.335551i 0.138446 0.0185560i
\(328\) 0.400895 0.694371i 0.0221357 0.0383402i
\(329\) −0.940407 + 15.4664i −0.0518463 + 0.852689i
\(330\) 3.32750 + 24.8264i 0.183173 + 1.36665i
\(331\) −3.19075 11.9080i −0.175379 0.654525i −0.996487 0.0837510i \(-0.973310\pi\)
0.821107 0.570774i \(-0.193357\pi\)
\(332\) −4.70571 + 4.70571i −0.258259 + 0.258259i
\(333\) 8.69637 + 14.9013i 0.476558 + 0.816586i
\(334\) −8.84984 + 15.3284i −0.484241 + 0.838731i
\(335\) 26.9862 46.7414i 1.47441 2.55376i
\(336\) 4.57053 0.331982i 0.249343 0.0181111i
\(337\) 16.3884i 0.892732i 0.894850 + 0.446366i \(0.147282\pi\)
−0.894850 + 0.446366i \(0.852718\pi\)
\(338\) −12.0147 4.96451i −0.653515 0.270034i
\(339\) −4.84560 11.6214i −0.263177 0.631190i
\(340\) 3.19728 + 0.856708i 0.173397 + 0.0464615i
\(341\) 20.6455i 1.11801i
\(342\) −9.08095 + 9.16623i −0.491042 + 0.495653i
\(343\) −10.5064 15.2518i −0.567291 0.823517i
\(344\) 0.344020 1.28390i 0.0185483 0.0692232i
\(345\) 31.3767 + 12.9109i 1.68927 + 0.695097i
\(346\) −2.28942 + 0.613447i −0.123080 + 0.0329791i
\(347\) 11.5331i 0.619130i 0.950878 + 0.309565i \(0.100183\pi\)
−0.950878 + 0.309565i \(0.899817\pi\)
\(348\) −4.73130 3.61292i −0.253624 0.193673i
\(349\) 28.2682 7.57445i 1.51316 0.405451i 0.595680 0.803222i \(-0.296883\pi\)
0.917485 + 0.397771i \(0.130216\pi\)
\(350\) −23.3860 + 11.6703i −1.25003 + 0.623803i
\(351\) 3.51817 18.4017i 0.187786 0.982210i
\(352\) 1.87460 + 3.24691i 0.0999167 + 0.173061i
\(353\) −4.17655 + 15.5871i −0.222295 + 0.829617i 0.761175 + 0.648547i \(0.224623\pi\)
−0.983470 + 0.181071i \(0.942044\pi\)
\(354\) 3.21137 24.8412i 0.170683 1.32030i
\(355\) 4.21164 + 2.43159i 0.223531 + 0.129055i
\(356\) −0.827250 0.827250i −0.0438441 0.0438441i
\(357\) 3.92214 0.284885i 0.207582 0.0150777i
\(358\) 2.43488 9.08711i 0.128688 0.480268i
\(359\) 8.06012 + 2.15970i 0.425397 + 0.113985i 0.465165 0.885224i \(-0.345995\pi\)
−0.0397678 + 0.999209i \(0.512662\pi\)
\(360\) −3.04721 11.1634i −0.160602 0.588363i
\(361\) 0.434597 0.250915i 0.0228735 0.0132060i
\(362\) 17.2385 17.2385i 0.906037 0.906037i
\(363\) −3.21303 + 4.20763i −0.168641 + 0.220843i
\(364\) −8.79432 + 3.69594i −0.460948 + 0.193720i
\(365\) 19.1870i 1.00429i
\(366\) 0.714298 + 5.32937i 0.0373369 + 0.278571i
\(367\) −7.87954 13.6478i −0.411309 0.712408i 0.583724 0.811952i \(-0.301595\pi\)
−0.995033 + 0.0995443i \(0.968262\pi\)
\(368\) 5.07846 0.264733
\(369\) −2.40534 + 0.0112411i −0.125217 + 0.000585189i
\(370\) −21.4277 5.74152i −1.11397 0.298488i
\(371\) −3.94421 + 11.8020i −0.204773 + 0.612732i
\(372\) 1.26702 + 9.45321i 0.0656918 + 0.490126i
\(373\) 10.7604 18.6376i 0.557152 0.965016i −0.440580 0.897713i \(-0.645227\pi\)
0.997733 0.0673028i \(-0.0214394\pi\)
\(374\) 1.60867 + 2.78629i 0.0831821 + 0.144076i
\(375\) 19.9021 + 25.8118i 1.02774 + 1.33292i
\(376\) 5.07191 2.92827i 0.261564 0.151014i
\(377\) 11.7363 + 3.97827i 0.604448 + 0.204891i
\(378\) −7.77140 11.3404i −0.399718 0.583289i
\(379\) −3.78995 14.1443i −0.194677 0.726544i −0.992350 0.123454i \(-0.960603\pi\)
0.797674 0.603090i \(-0.206064\pi\)
\(380\) 16.5899i 0.851046i
\(381\) 3.47419 4.54962i 0.177988 0.233084i
\(382\) 4.20628 + 15.6980i 0.215212 + 0.803181i
\(383\) 17.4647 4.67965i 0.892405 0.239119i 0.216653 0.976249i \(-0.430486\pi\)
0.675751 + 0.737130i \(0.263819\pi\)
\(384\) −1.05761 1.37166i −0.0539711 0.0699973i
\(385\) −36.2892 12.1278i −1.84947 0.618088i
\(386\) −2.11871 + 1.22324i −0.107840 + 0.0622613i
\(387\) −3.84683 + 1.05005i −0.195546 + 0.0533770i
\(388\) 0.953834 3.55976i 0.0484236 0.180719i
\(389\) 17.0678 29.5624i 0.865374 1.49887i −0.00130104 0.999999i \(-0.500414\pi\)
0.866675 0.498873i \(-0.166253\pi\)
\(390\) 13.4383 + 19.9919i 0.680477 + 1.01233i
\(391\) 4.35801 0.220394
\(392\) −2.61760 + 6.49216i −0.132209 + 0.327904i
\(393\) −7.70301 18.4745i −0.388566 0.931915i
\(394\) 15.4885 + 8.94231i 0.780301 + 0.450507i
\(395\) −52.6551 + 14.1089i −2.64936 + 0.709895i
\(396\) 5.57823 9.76690i 0.280317 0.490805i
\(397\) −5.99288 + 1.60579i −0.300774 + 0.0805921i −0.406050 0.913851i \(-0.633094\pi\)
0.105276 + 0.994443i \(0.466427\pi\)
\(398\) 6.24759 6.24759i 0.313163 0.313163i
\(399\) −6.46696 18.6183i −0.323753 0.932079i
\(400\) 8.55508 + 4.93928i 0.427754 + 0.246964i
\(401\) −9.57756 + 9.57756i −0.478281 + 0.478281i −0.904581 0.426301i \(-0.859817\pi\)
0.426301 + 0.904581i \(0.359817\pi\)
\(402\) −22.3689 + 9.32681i −1.11566 + 0.465179i
\(403\) −8.78906 17.8031i −0.437814 0.886834i
\(404\) −14.9356 + 8.62305i −0.743072 + 0.429013i
\(405\) −24.3170 + 24.7759i −1.20832 + 1.23112i
\(406\) 8.13653 4.06036i 0.403809 0.201512i
\(407\) −10.7810 18.6733i −0.534395 0.925600i
\(408\) −0.907577 1.17707i −0.0449317 0.0582737i
\(409\) −10.8715 + 10.8715i −0.537563 + 0.537563i −0.922812 0.385250i \(-0.874115\pi\)
0.385250 + 0.922812i \(0.374115\pi\)
\(410\) 2.18689 2.18689i 0.108003 0.108003i
\(411\) −20.8967 27.1017i −1.03076 1.33683i
\(412\) 9.38793 + 16.2604i 0.462510 + 0.801091i
\(413\) 31.9132 + 21.1064i 1.57034 + 1.03858i
\(414\) −7.67928 13.1585i −0.377416 0.646705i
\(415\) −22.2306 + 12.8348i −1.09126 + 0.630037i
\(416\) 2.99877 + 2.00184i 0.147027 + 0.0981484i
\(417\) 7.65578 3.19211i 0.374905 0.156318i
\(418\) 11.4022 11.4022i 0.557700 0.557700i
\(419\) −19.8136 11.4394i −0.967957 0.558850i −0.0693443 0.997593i \(-0.522091\pi\)
−0.898613 + 0.438742i \(0.855424\pi\)
\(420\) 17.3605 + 3.32602i 0.847106 + 0.162293i
\(421\) 15.0535 15.0535i 0.733661 0.733661i −0.237682 0.971343i \(-0.576388\pi\)
0.971343 + 0.237682i \(0.0763875\pi\)
\(422\) −19.1640 + 5.13497i −0.932888 + 0.249967i
\(423\) −15.2566 8.71361i −0.741803 0.423670i
\(424\) 4.54301 1.21730i 0.220628 0.0591171i
\(425\) 7.34142 + 4.23857i 0.356111 + 0.205601i
\(426\) −0.840392 2.01555i −0.0407171 0.0976539i
\(427\) −7.79003 2.60341i −0.376986 0.125988i
\(428\) 15.5123 0.749815
\(429\) −4.50421 + 22.9765i −0.217465 + 1.10931i
\(430\) 2.56353 4.44016i 0.123624 0.214123i
\(431\) −4.26352 + 15.9117i −0.205366 + 0.766438i 0.783971 + 0.620797i \(0.213191\pi\)
−0.989338 + 0.145641i \(0.953476\pi\)
\(432\) −1.95478 + 4.81444i −0.0940494 + 0.231635i
\(433\) 30.5376 17.6309i 1.46754 0.847287i 0.468204 0.883620i \(-0.344901\pi\)
0.999340 + 0.0363331i \(0.0115677\pi\)
\(434\) −13.8179 4.61791i −0.663281 0.221667i
\(435\) −14.0212 18.1846i −0.672264 0.871885i
\(436\) 1.40866 0.377448i 0.0674624 0.0180765i
\(437\) −5.65318 21.0980i −0.270428 1.00925i
\(438\) 5.22888 6.84748i 0.249846 0.327185i
\(439\) 40.3976i 1.92807i −0.265772 0.964036i \(-0.585627\pi\)
0.265772 0.964036i \(-0.414373\pi\)
\(440\) 3.74297 + 13.9689i 0.178439 + 0.665944i
\(441\) 20.7796 3.03467i 0.989504 0.144508i
\(442\) 2.57335 + 1.71785i 0.122402 + 0.0817099i
\(443\) 14.1384 8.16280i 0.671735 0.387826i −0.124999 0.992157i \(-0.539893\pi\)
0.796734 + 0.604330i \(0.206559\pi\)
\(444\) 6.08244 + 7.88855i 0.288660 + 0.374374i
\(445\) −2.25633 3.90807i −0.106960 0.185260i
\(446\) 2.42039 4.19224i 0.114609 0.198508i
\(447\) 1.49999 + 11.1914i 0.0709470 + 0.529335i
\(448\) 2.59245 0.528406i 0.122482 0.0249648i
\(449\) −10.2311 2.74141i −0.482834 0.129375i 0.00918765 0.999958i \(-0.497075\pi\)
−0.492022 + 0.870583i \(0.663742\pi\)
\(450\) −0.138497 29.6353i −0.00652883 1.39702i
\(451\) 3.00608 0.141551
\(452\) −3.63476 6.29558i −0.170965 0.296119i
\(453\) 4.00986 + 29.9175i 0.188400 + 1.40565i
\(454\) 10.0531i 0.471817i
\(455\) −36.4560 + 4.99078i −1.70908 + 0.233971i
\(456\) −4.52112 + 5.92064i −0.211721 + 0.277259i
\(457\) 1.13291 1.13291i 0.0529955 0.0529955i −0.680112 0.733108i \(-0.738069\pi\)
0.733108 + 0.680112i \(0.238069\pi\)
\(458\) 1.48345 0.856469i 0.0693170 0.0400202i
\(459\) −1.67747 + 4.13145i −0.0782975 + 0.192839i
\(460\) 18.9215 + 5.07001i 0.882222 + 0.236391i
\(461\) 2.74435 10.2421i 0.127817 0.477020i −0.872107 0.489315i \(-0.837247\pi\)
0.999924 + 0.0122944i \(0.00391354\pi\)
\(462\) 9.64586 + 14.2178i 0.448766 + 0.661471i
\(463\) 13.8266 + 13.8266i 0.642577 + 0.642577i 0.951188 0.308611i \(-0.0998643\pi\)
−0.308611 + 0.951188i \(0.599864\pi\)
\(464\) −2.97651 1.71849i −0.138181 0.0797788i
\(465\) −4.71677 + 36.4861i −0.218735 + 1.69200i
\(466\) 3.87976 14.4795i 0.179726 0.670748i
\(467\) −8.30570 14.3859i −0.384342 0.665699i 0.607336 0.794445i \(-0.292238\pi\)
−0.991678 + 0.128746i \(0.958905\pi\)
\(468\) 0.652330 10.7970i 0.0301540 0.499090i
\(469\) 2.24681 36.9520i 0.103748 1.70629i
\(470\) 21.8205 5.84679i 1.00651 0.269692i
\(471\) −27.8796 21.2895i −1.28463 0.980967i
\(472\) 14.4614i 0.665641i
\(473\) 4.81361 1.28980i 0.221330 0.0593052i
\(474\) 22.6366 + 9.31447i 1.03973 + 0.427828i
\(475\) 10.9965 41.0395i 0.504554 1.88302i
\(476\) 2.22467 0.453444i 0.101968 0.0207836i
\(477\) −10.0237 9.93040i −0.458952 0.454682i
\(478\) 10.4582i 0.478347i
\(479\) 3.94268 + 1.05644i 0.180146 + 0.0482699i 0.347764 0.937582i \(-0.386941\pi\)
−0.167618 + 0.985852i \(0.553608\pi\)
\(480\) −2.57112 6.16644i −0.117355 0.281458i
\(481\) −17.2462 11.5128i −0.786360 0.524938i
\(482\) 8.26675i 0.376540i
\(483\) 23.2113 1.68596i 1.05615 0.0767137i
\(484\) −1.52828 + 2.64706i −0.0694673 + 0.120321i
\(485\) 7.10766 12.3108i 0.322742 0.559006i
\(486\) 15.4303 2.21513i 0.699931 0.100480i
\(487\) 3.94660 3.94660i 0.178838 0.178838i −0.612011 0.790849i \(-0.709639\pi\)
0.790849 + 0.612011i \(0.209639\pi\)
\(488\) 0.803485 + 2.99865i 0.0363721 + 0.135742i
\(489\) 1.41706 + 10.5727i 0.0640818 + 0.478114i
\(490\) −16.2341 + 21.5755i −0.733382 + 0.974682i
\(491\) 13.4071 23.2219i 0.605056 1.04799i −0.386986 0.922085i \(-0.626484\pi\)
0.992043 0.125903i \(-0.0401827\pi\)
\(492\) −1.37643 + 0.184484i −0.0620544 + 0.00831718i
\(493\) −2.55425 1.47470i −0.115038 0.0664170i
\(494\) 4.97831 14.6865i 0.223985 0.660776i
\(495\) 30.5342 30.8210i 1.37241 1.38530i
\(496\) 1.42522 + 5.31898i 0.0639941 + 0.238829i
\(497\) 3.32957 + 0.202449i 0.149351 + 0.00908106i
\(498\) 11.4315 + 1.47781i 0.512256 + 0.0662224i
\(499\) −0.664159 0.177961i −0.0297318 0.00796662i 0.243922 0.969795i \(-0.421566\pi\)
−0.273654 + 0.961828i \(0.588232\pi\)
\(500\) 13.3063 + 13.3063i 0.595075 + 0.595075i
\(501\) 30.3850 4.07252i 1.35750 0.181947i
\(502\) 0.100241 0.374105i 0.00447398 0.0166971i
\(503\) 5.03003 2.90409i 0.224278 0.129487i −0.383652 0.923478i \(-0.625334\pi\)
0.607929 + 0.793991i \(0.292000\pi\)
\(504\) −5.28923 5.91811i −0.235601 0.263614i
\(505\) −64.2562 + 17.2174i −2.85936 + 0.766164i
\(506\) 9.52011 + 16.4893i 0.423221 + 0.733040i
\(507\) 5.89732 + 21.7307i 0.261909 + 0.965093i
\(508\) 1.65250 2.86221i 0.0733178 0.126990i
\(509\) 17.3856 + 17.3856i 0.770601 + 0.770601i 0.978212 0.207611i \(-0.0665687\pi\)
−0.207611 + 0.978212i \(0.566569\pi\)
\(510\) −2.20637 5.29165i −0.0976998 0.234318i
\(511\) 5.87645 + 11.7758i 0.259959 + 0.520930i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) 22.1771 + 2.76166i 0.979143 + 0.121930i
\(514\) 19.6132 + 19.6132i 0.865100 + 0.865100i
\(515\) 18.7446 + 69.9559i 0.825987 + 3.08262i
\(516\) −2.12492 + 0.885992i −0.0935442 + 0.0390036i
\(517\) 19.0157 + 10.9787i 0.836308 + 0.482842i
\(518\) −14.9094 + 3.03891i −0.655082 + 0.133522i
\(519\) 3.26276 + 2.49151i 0.143219 + 0.109365i
\(520\) 9.17443 + 10.4523i 0.402325 + 0.458365i
\(521\) 4.56253 + 2.63418i 0.199888 + 0.115405i 0.596603 0.802536i \(-0.296517\pi\)
−0.396715 + 0.917942i \(0.629850\pi\)
\(522\) 0.0481865 + 10.3108i 0.00210906 + 0.451292i
\(523\) −10.5961 −0.463333 −0.231667 0.972795i \(-0.574418\pi\)
−0.231667 + 0.972795i \(0.574418\pi\)
\(524\) −5.77814 10.0080i −0.252419 0.437203i
\(525\) 40.7410 + 19.7350i 1.77808 + 0.861307i
\(526\) 8.98094 + 2.40644i 0.391588 + 0.104926i
\(527\) 1.22303 + 4.56441i 0.0532760 + 0.198829i
\(528\) 2.47105 6.00530i 0.107539 0.261347i
\(529\) 2.79081 0.121339
\(530\) 18.1418 0.788029
\(531\) −37.4701 + 21.8675i −1.62606 + 0.948969i
\(532\) −5.08104 10.1819i −0.220291 0.441440i
\(533\) 2.59221 1.27973i 0.112281 0.0554313i
\(534\) −0.259795 + 2.00962i −0.0112424 + 0.0869646i
\(535\) 57.7963 + 15.4865i 2.49875 + 0.669539i
\(536\) −12.1177 + 6.99618i −0.523406 + 0.302189i
\(537\) −15.0396 + 6.27081i −0.649006 + 0.270606i
\(538\) −10.4770 + 10.4770i −0.451697 + 0.451697i
\(539\) −25.9864 + 3.67113i −1.11931 + 0.158127i
\(540\) −12.0896 + 15.9863i −0.520255 + 0.687941i
\(541\) 9.65396 36.0291i 0.415056 1.54901i −0.369667 0.929164i \(-0.620528\pi\)
0.784723 0.619846i \(-0.212805\pi\)
\(542\) 29.9611i 1.28694i
\(543\) −41.8771 5.41371i −1.79712 0.232324i
\(544\) −0.606794 0.606794i −0.0260161 0.0260161i
\(545\) 5.62525 0.240959
\(546\) 14.3706 + 8.15395i 0.615003 + 0.348957i
\(547\) −33.0367 −1.41255 −0.706274 0.707938i \(-0.749625\pi\)
−0.706274 + 0.707938i \(0.749625\pi\)
\(548\) −13.9712 13.9712i −0.596821 0.596821i
\(549\) 6.55464 6.61619i 0.279745 0.282372i
\(550\) 37.0368i 1.57925i
\(551\) −3.82593 + 14.2786i −0.162990 + 0.608288i
\(552\) −5.37105 6.96593i −0.228607 0.296490i
\(553\) −27.9952 + 24.7859i −1.19048 + 1.05400i
\(554\) 13.1206 13.1206i 0.557441 0.557441i
\(555\) 14.7868 + 35.4638i 0.627663 + 1.50535i
\(556\) 4.14730 2.39445i 0.175885 0.101547i
\(557\) −14.4507 3.87204i −0.612294 0.164064i −0.0606720 0.998158i \(-0.519324\pi\)
−0.551622 + 0.834094i \(0.685991\pi\)
\(558\) 11.6266 11.7358i 0.492192 0.496814i
\(559\) 3.60180 3.16145i 0.152340 0.133715i
\(560\) 10.1866 + 0.619377i 0.430461 + 0.0261735i
\(561\) 2.12050 5.15336i 0.0895275 0.217575i
\(562\) −27.7971 −1.17255
\(563\) −20.9032 −0.880965 −0.440482 0.897761i \(-0.645193\pi\)
−0.440482 + 0.897761i \(0.645193\pi\)
\(564\) −9.38072 3.85996i −0.394999 0.162534i
\(565\) −7.25742 27.0850i −0.305322 1.13948i
\(566\) 21.4876 + 5.75758i 0.903190 + 0.242009i
\(567\) −7.33609 + 22.6535i −0.308087 + 0.951358i
\(568\) −0.630391 1.09187i −0.0264506 0.0458138i
\(569\) 16.1978 0.679047 0.339523 0.940598i \(-0.389734\pi\)
0.339523 + 0.940598i \(0.389734\pi\)
\(570\) −22.7558 + 17.5457i −0.953134 + 0.734910i
\(571\) 20.6308 + 11.9112i 0.863372 + 0.498468i 0.865140 0.501530i \(-0.167229\pi\)
−0.00176774 + 0.999998i \(0.500563\pi\)
\(572\) −0.878291 + 13.4894i −0.0367232 + 0.564020i
\(573\) 17.0838 22.3720i 0.713684 0.934605i
\(574\) 0.672390 2.01196i 0.0280650 0.0839774i
\(575\) 43.4467 + 25.0840i 1.81185 + 1.04607i
\(576\) −0.762906 + 2.90137i −0.0317878 + 0.120891i
\(577\) 3.92043 + 14.6312i 0.163209 + 0.609106i 0.998262 + 0.0589355i \(0.0187706\pi\)
−0.835052 + 0.550171i \(0.814563\pi\)
\(578\) 11.5001 + 11.5001i 0.478341 + 0.478341i
\(579\) 3.91865 + 1.61244i 0.162854 + 0.0670107i
\(580\) −9.37437 9.37437i −0.389250 0.389250i
\(581\) −9.71278 + 14.6858i −0.402954 + 0.609271i
\(582\) −5.89157 + 2.45651i −0.244213 + 0.101826i
\(583\) 12.4688 + 12.4688i 0.516405 + 0.516405i
\(584\) 2.48712 4.30782i 0.102918 0.178259i
\(585\) 13.2095 39.5765i 0.546145 1.63629i
\(586\) −0.225945 0.391348i −0.00933370 0.0161664i
\(587\) 15.7504 4.22031i 0.650089 0.174191i 0.0813201 0.996688i \(-0.474086\pi\)
0.568769 + 0.822497i \(0.307420\pi\)
\(588\) 11.6735 3.27574i 0.481405 0.135089i
\(589\) 20.5107 11.8418i 0.845128 0.487935i
\(590\) 14.4374 53.8810i 0.594377 2.21825i
\(591\) −4.11507 30.7025i −0.169271 1.26293i
\(592\) 4.06664 + 4.06664i 0.167138 + 0.167138i
\(593\) −26.4266 7.08098i −1.08521 0.290781i −0.328481 0.944511i \(-0.606537\pi\)
−0.756728 + 0.653730i \(0.773203\pi\)
\(594\) −19.2965 + 2.67817i −0.791745 + 0.109887i
\(595\) 8.74147 + 0.531510i 0.358365 + 0.0217898i
\(596\) 1.68728 + 6.29700i 0.0691136 + 0.257935i
\(597\) −15.1771 1.96204i −0.621157 0.0803008i
\(598\) 15.2292 + 10.1663i 0.622766 + 0.415730i
\(599\) 14.2351 + 8.21862i 0.581629 + 0.335804i 0.761780 0.647835i \(-0.224326\pi\)
−0.180152 + 0.983639i \(0.557659\pi\)
\(600\) −2.27296 16.9585i −0.0927931 0.692329i
\(601\) 0.289361 0.501188i 0.0118033 0.0204439i −0.860063 0.510187i \(-0.829576\pi\)
0.871867 + 0.489743i \(0.162909\pi\)
\(602\) 0.213433 3.51023i 0.00869889 0.143066i
\(603\) 36.4509 + 20.8184i 1.48440 + 0.847791i
\(604\) 4.51053 + 16.8335i 0.183531 + 0.684947i
\(605\) −8.33679 + 8.33679i −0.338939 + 0.338939i
\(606\) 27.6239 + 11.3667i 1.12215 + 0.461739i
\(607\) −1.18100 + 2.04556i −0.0479355 + 0.0830267i −0.888998 0.457912i \(-0.848598\pi\)
0.841062 + 0.540939i \(0.181931\pi\)
\(608\) −2.15047 + 3.72473i −0.0872133 + 0.151058i
\(609\) −14.1747 6.86627i −0.574390 0.278235i
\(610\) 11.9746i 0.484838i
\(611\) 21.0714 + 1.37195i 0.852459 + 0.0555033i
\(612\) −0.654678 + 2.48977i −0.0264638 + 0.100643i
\(613\) −20.9385 5.61046i −0.845699 0.226604i −0.190148 0.981755i \(-0.560897\pi\)
−0.655551 + 0.755151i \(0.727563\pi\)
\(614\) 2.66676i 0.107622i
\(615\) −5.31255 0.686785i −0.214223 0.0276938i
\(616\) 6.57550 + 7.42689i 0.264934 + 0.299238i
\(617\) 0.234904 0.876672i 0.00945687 0.0352935i −0.961036 0.276423i \(-0.910851\pi\)
0.970493 + 0.241129i \(0.0775177\pi\)
\(618\) 12.3749 30.0743i 0.497792 1.20976i
\(619\) −20.5782 + 5.51391i −0.827107 + 0.221623i −0.647451 0.762107i \(-0.724165\pi\)
−0.179656 + 0.983730i \(0.557498\pi\)
\(620\) 21.2405i 0.853040i
\(621\) −9.92728 + 24.4500i −0.398368 + 0.981143i
\(622\) −11.9069 + 3.19046i −0.477425 + 0.127926i
\(623\) −2.58173 1.70748i −0.103435 0.0684087i
\(624\) −0.425694 6.23047i −0.0170414 0.249419i
\(625\) 11.5965 + 20.0858i 0.463862 + 0.803432i
\(626\) 1.70219 6.35267i 0.0680333 0.253904i
\(627\) −27.6991 3.58083i −1.10620 0.143005i
\(628\) −17.5393 10.1263i −0.699896 0.404085i
\(629\) 3.48973 + 3.48973i 0.139145 + 0.139145i
\(630\) −13.7985 27.3304i −0.549747 1.08887i
\(631\) 8.90953 33.2508i 0.354683 1.32369i −0.526200 0.850361i \(-0.676384\pi\)
0.880883 0.473334i \(-0.156950\pi\)
\(632\) 13.6508 + 3.65773i 0.543002 + 0.145497i
\(633\) 27.3115 + 20.8557i 1.08554 + 0.828938i
\(634\) −0.370210 + 0.213741i −0.0147029 + 0.00848873i
\(635\) 9.01439 9.01439i 0.357725 0.357725i
\(636\) −6.47446 4.94404i −0.256729 0.196044i
\(637\) −20.8459 + 14.2285i −0.825943 + 0.563753i
\(638\) 12.8859i 0.510159i
\(639\) −1.87584 + 3.28441i −0.0742072 + 0.129929i
\(640\) −1.92864 3.34050i −0.0762361 0.132045i
\(641\) −14.4271 −0.569836 −0.284918 0.958552i \(-0.591966\pi\)
−0.284918 + 0.958552i \(0.591966\pi\)
\(642\) −16.4060 21.2776i −0.647494 0.839760i
\(643\) 25.2212 + 6.75799i 0.994626 + 0.266509i 0.719193 0.694811i \(-0.244512\pi\)
0.275434 + 0.961320i \(0.411179\pi\)
\(644\) 13.1657 2.68349i 0.518800 0.105744i
\(645\) −8.80161 + 1.17968i −0.346563 + 0.0464500i
\(646\) −1.84540 + 3.19633i −0.0726063 + 0.125758i
\(647\) 2.60423 + 4.51065i 0.102383 + 0.177332i 0.912666 0.408707i \(-0.134020\pi\)
−0.810283 + 0.586039i \(0.800687\pi\)
\(648\) 8.67118 2.41052i 0.340636 0.0946943i
\(649\) 46.9550 27.1095i 1.84314 1.06414i
\(650\) 15.7671 + 31.9377i 0.618436 + 1.25270i
\(651\) 8.27981 + 23.8375i 0.324511 + 0.934263i
\(652\) 1.59400 + 5.94888i 0.0624257 + 0.232976i
\(653\) 0.381461i 0.0149277i −0.999972 0.00746385i \(-0.997624\pi\)
0.999972 0.00746385i \(-0.00237584\pi\)
\(654\) −2.00755 1.53300i −0.0785012 0.0599452i
\(655\) −11.5371 43.0569i −0.450790 1.68237i
\(656\) −0.774470 + 0.207519i −0.0302380 + 0.00810224i
\(657\) −14.9226 + 0.0697389i −0.582184 + 0.00272077i
\(658\) 11.6014 10.2714i 0.452268 0.400422i
\(659\) −41.4586 + 23.9362i −1.61500 + 0.932420i −0.626812 + 0.779170i \(0.715641\pi\)
−0.988187 + 0.153250i \(0.951026\pi\)
\(660\) 15.2020 19.9078i 0.591739 0.774911i
\(661\) −2.62621 + 9.80114i −0.102148 + 0.381220i −0.998006 0.0631196i \(-0.979895\pi\)
0.895858 + 0.444340i \(0.146562\pi\)
\(662\) −6.16405 + 10.6765i −0.239573 + 0.414952i
\(663\) −0.365303 5.34659i −0.0141872 0.207644i
\(664\) 6.65488 0.258259
\(665\) −8.76622 43.0086i −0.339940 1.66780i
\(666\) 4.38755 16.6861i 0.170014 0.646572i
\(667\) −15.1161 8.72729i −0.585298 0.337922i
\(668\) 17.0966 4.58101i 0.661486 0.177245i
\(669\) −8.31017 + 1.11382i −0.321290 + 0.0430626i
\(670\) −52.1333 + 13.9691i −2.01408 + 0.539672i
\(671\) −8.23012 + 8.23012i −0.317720 + 0.317720i
\(672\) −3.46660 2.99711i −0.133727 0.115616i
\(673\) −43.7483 25.2581i −1.68637 0.973628i −0.957258 0.289237i \(-0.906599\pi\)
−0.729115 0.684391i \(-0.760068\pi\)
\(674\) 11.5883 11.5883i 0.446366 0.446366i
\(675\) −40.5032 + 31.5327i −1.55897 + 1.21369i
\(676\) 4.98526 + 12.0061i 0.191741 + 0.461774i
\(677\) 25.0911 14.4864i 0.964331 0.556757i 0.0668277 0.997765i \(-0.478712\pi\)
0.897503 + 0.441008i \(0.145379\pi\)
\(678\) −4.79124 + 11.6440i −0.184006 + 0.447183i
\(679\) 0.591768 9.73250i 0.0227100 0.373499i
\(680\) −1.65503 2.86660i −0.0634676 0.109929i
\(681\) −13.7895 + 10.6323i −0.528414 + 0.407432i
\(682\) −14.5985 + 14.5985i −0.559007 + 0.559007i
\(683\) 17.1453 17.1453i 0.656046 0.656046i −0.298396 0.954442i \(-0.596452\pi\)
0.954442 + 0.298396i \(0.0964517\pi\)
\(684\) 12.9027 0.0602994i 0.493347 0.00230560i
\(685\) −38.1066 66.0025i −1.45598 2.52183i
\(686\) −3.35549 + 18.2137i −0.128113 + 0.695404i
\(687\) −2.74370 1.12897i −0.104679 0.0430731i
\(688\) −1.15111 + 0.664595i −0.0438858 + 0.0253375i
\(689\) 16.0603 + 5.44399i 0.611848 + 0.207400i
\(690\) −13.0573 31.3161i −0.497085 1.19218i
\(691\) −16.9978 + 16.9978i −0.646628 + 0.646628i −0.952176 0.305549i \(-0.901160\pi\)
0.305549 + 0.952176i \(0.401160\pi\)
\(692\) 2.05264 + 1.18509i 0.0780295 + 0.0450503i
\(693\) 9.30038 28.2678i 0.353292 1.07380i
\(694\) 8.15514 8.15514i 0.309565 0.309565i
\(695\) 17.8426 4.78092i 0.676810 0.181351i
\(696\) 0.790814 + 5.90026i 0.0299757 + 0.223649i
\(697\) −0.664601 + 0.178079i −0.0251735 + 0.00674523i
\(698\) −25.3446 14.6327i −0.959308 0.553857i
\(699\) −23.9642 + 9.99196i −0.906409 + 0.377931i
\(700\) 24.7885 + 8.28427i 0.936919 + 0.313116i
\(701\) −32.8796 −1.24185 −0.620923 0.783872i \(-0.713242\pi\)
−0.620923 + 0.783872i \(0.713242\pi\)
\(702\) −15.4997 + 10.5242i −0.584998 + 0.397212i
\(703\) 12.3676 21.4213i 0.466452 0.807919i
\(704\) 0.970367 3.62146i 0.0365721 0.136489i
\(705\) −31.0975 23.7467i −1.17120 0.894353i
\(706\) 13.9750 8.06847i 0.525956 0.303661i
\(707\) −34.1632 + 30.2468i −1.28484 + 1.13755i
\(708\) −19.8362 + 15.2946i −0.745489 + 0.574807i
\(709\) −23.0329 + 6.17165i −0.865019 + 0.231781i −0.663933 0.747792i \(-0.731114\pi\)
−0.201087 + 0.979573i \(0.564447\pi\)
\(710\) −1.25868 4.69747i −0.0472376 0.176293i
\(711\) −11.1645 40.9008i −0.418700 1.53390i
\(712\) 1.16991i 0.0438441i
\(713\) 7.23792 + 27.0123i 0.271062 + 1.01162i
\(714\) −2.97482 2.57193i −0.111330 0.0962520i
\(715\) −16.7393 + 49.3825i −0.626015 + 1.84680i
\(716\) −8.14728 + 4.70383i −0.304478 + 0.175790i
\(717\) −14.3451 + 11.0607i −0.535728 + 0.413071i
\(718\) −4.17222 7.22650i −0.155706 0.269691i
\(719\) −13.3323 + 23.0923i −0.497212 + 0.861196i −0.999995 0.00321648i \(-0.998976\pi\)
0.502783 + 0.864413i \(0.332309\pi\)
\(720\) −5.73901 + 10.0484i −0.213880 + 0.374482i
\(721\) 32.9298 + 37.1935i 1.22637 + 1.38516i
\(722\) −0.484730 0.129883i −0.0180398 0.00483374i
\(723\) −11.3392 + 8.74303i −0.421709 + 0.325157i
\(724\) −24.3790 −0.906037
\(725\) −16.9762 29.4036i −0.630480 1.09202i
\(726\) 5.24720 0.703285i 0.194742 0.0261013i
\(727\) 33.7416i 1.25141i 0.780061 + 0.625703i \(0.215188\pi\)
−0.780061 + 0.625703i \(0.784812\pi\)
\(728\) 8.83194 + 3.60510i 0.327334 + 0.133614i
\(729\) −19.3577 18.8223i −0.716951 0.697124i
\(730\) 13.5673 13.5673i 0.502147 0.502147i
\(731\) −0.987812 + 0.570313i −0.0365355 + 0.0210938i
\(732\) 3.26335 4.27352i 0.120617 0.157954i
\(733\) 38.0696 + 10.2007i 1.40613 + 0.376772i 0.880543 0.473966i \(-0.157178\pi\)
0.525589 + 0.850738i \(0.323845\pi\)
\(734\) −4.07875 + 15.2221i −0.150549 + 0.561858i
\(735\) 46.7637 0.550869i 1.72491 0.0203191i
\(736\) −3.59102 3.59102i −0.132367 0.132367i
\(737\) −45.4319 26.2301i −1.67351 0.966199i
\(738\) 1.70878 + 1.69289i 0.0629012 + 0.0623160i
\(739\) 4.02512 15.0220i 0.148067 0.552592i −0.851533 0.524301i \(-0.824327\pi\)
0.999600 0.0282912i \(-0.00900658\pi\)
\(740\) 11.0918 + 19.2115i 0.407742 + 0.706229i
\(741\) −25.4100 + 8.70406i −0.933460 + 0.319752i
\(742\) 11.1343 5.55633i 0.408753 0.203979i
\(743\) 2.98428 0.799634i 0.109482 0.0293357i −0.203662 0.979041i \(-0.565284\pi\)
0.313144 + 0.949706i \(0.398618\pi\)
\(744\) 5.78851 7.58034i 0.212217 0.277909i
\(745\) 25.1461i 0.921282i
\(746\) −20.7875 + 5.56999i −0.761084 + 0.203932i
\(747\) −10.0630 17.2430i −0.368186 0.630890i
\(748\) 0.832707 3.10770i 0.0304468 0.113629i
\(749\) 40.2148 8.19679i 1.46942 0.299504i
\(750\) 4.17880 32.3246i 0.152588 1.18033i
\(751\) 54.6734i 1.99506i 0.0702453 + 0.997530i \(0.477622\pi\)
−0.0702453 + 0.997530i \(0.522378\pi\)
\(752\) −5.65698 1.51578i −0.206289 0.0552750i
\(753\) −0.619162 + 0.258162i −0.0225635 + 0.00940795i
\(754\) −5.48573 11.1119i −0.199778 0.404670i
\(755\) 67.2221i 2.44646i
\(756\) −2.52369 + 13.5141i −0.0917856 + 0.491503i
\(757\) 0.0583063 0.100989i 0.00211918 0.00367052i −0.864964 0.501834i \(-0.832659\pi\)
0.867083 + 0.498164i \(0.165992\pi\)
\(758\) −7.32163 + 12.6814i −0.265933 + 0.460610i
\(759\) 12.5491 30.4977i 0.455505 1.10700i
\(760\) −11.7309 + 11.7309i −0.425523 + 0.425523i
\(761\) 4.49619 + 16.7800i 0.162987 + 0.608274i 0.998288 + 0.0584826i \(0.0186262\pi\)
−0.835302 + 0.549792i \(0.814707\pi\)
\(762\) −5.67369 + 0.760447i −0.205536 + 0.0275481i
\(763\) 3.45242 1.72286i 0.124986 0.0623716i
\(764\) 8.12590 14.0745i 0.293985 0.509196i
\(765\) −4.92485 + 8.62291i −0.178058 + 0.311762i
\(766\) −15.6584 9.04040i −0.565762 0.326643i
\(767\) 28.9495 43.3665i 1.04531 1.56587i
\(768\) −0.222065 + 1.71776i −0.00801307 + 0.0619842i
\(769\) −1.17842 4.39791i −0.0424948 0.158593i 0.941418 0.337242i \(-0.109494\pi\)
−0.983913 + 0.178649i \(0.942827\pi\)
\(770\) 17.0847 + 34.2360i 0.615691 + 1.23378i
\(771\) 6.15946 47.6458i 0.221828 1.71592i
\(772\) 2.36312 + 0.633195i 0.0850505 + 0.0227892i
\(773\) −34.7582 34.7582i −1.25017 1.25017i −0.955645 0.294520i \(-0.904840\pi\)
−0.294520 0.955645i \(-0.595160\pi\)