Properties

Label 260.2.p.d.103.18
Level $260$
Weight $2$
Character 260.103
Analytic conductor $2.076$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 260.p (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.07611045255\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 103.18
Character \(\chi\) \(=\) 260.103
Dual form 260.2.p.d.207.18

$q$-expansion

\(f(q)\) \(=\) \(q+(0.358430 + 1.36804i) q^{2} +(-1.80624 + 1.80624i) q^{3} +(-1.74306 + 0.980692i) q^{4} +(-1.12997 + 1.92955i) q^{5} +(-3.11841 - 1.82359i) q^{6} +(-0.163803 + 0.163803i) q^{7} +(-1.96639 - 2.03306i) q^{8} -3.52499i q^{9} +O(q^{10})\) \(q+(0.358430 + 1.36804i) q^{2} +(-1.80624 + 1.80624i) q^{3} +(-1.74306 + 0.980692i) q^{4} +(-1.12997 + 1.92955i) q^{5} +(-3.11841 - 1.82359i) q^{6} +(-0.163803 + 0.163803i) q^{7} +(-1.96639 - 2.03306i) q^{8} -3.52499i q^{9} +(-3.04471 - 0.854237i) q^{10} +5.50310 q^{11} +(1.37701 - 4.91974i) q^{12} +(0.177198 - 3.60119i) q^{13} +(-0.282801 - 0.165377i) q^{14} +(-1.44422 - 5.52622i) q^{15} +(2.07649 - 3.41880i) q^{16} +(-5.33812 + 5.33812i) q^{17} +(4.82232 - 1.26346i) q^{18} +3.95414i q^{19} +(0.0773117 - 4.47147i) q^{20} -0.591735i q^{21} +(1.97248 + 7.52845i) q^{22} +(-3.90248 + 3.90248i) q^{23} +(7.22395 + 0.120419i) q^{24} +(-2.44632 - 4.36068i) q^{25} +(4.99008 - 1.04836i) q^{26} +(0.948252 + 0.948252i) q^{27} +(0.124878 - 0.446159i) q^{28} -2.85390i q^{29} +(7.04243 - 3.95652i) q^{30} -4.84261 q^{31} +(5.42133 + 1.61531i) q^{32} +(-9.93990 + 9.93990i) q^{33} +(-9.21610 - 5.38941i) q^{34} +(-0.130973 - 0.501160i) q^{35} +(3.45693 + 6.14425i) q^{36} +(1.81836 + 1.81836i) q^{37} +(-5.40942 + 1.41729i) q^{38} +(6.18455 + 6.82467i) q^{39} +(6.14485 - 1.49694i) q^{40} +1.07125i q^{41} +(0.809516 - 0.212096i) q^{42} +(2.39102 - 2.39102i) q^{43} +(-9.59220 + 5.39684i) q^{44} +(6.80164 + 3.98314i) q^{45} +(-6.73750 - 3.93997i) q^{46} +(2.94373 - 2.94373i) q^{47} +(2.42454 + 9.92579i) q^{48} +6.94634i q^{49} +(5.08874 - 4.90966i) q^{50} -19.2838i q^{51} +(3.22280 + 6.45086i) q^{52} +(7.51087 + 7.51087i) q^{53} +(-0.957363 + 1.63713i) q^{54} +(-6.21835 + 10.6185i) q^{55} +(0.655122 + 0.0109205i) q^{56} +(-7.14212 - 7.14212i) q^{57} +(3.90424 - 1.02292i) q^{58} +3.40057i q^{59} +(7.93689 + 8.21618i) q^{60} -3.68135 q^{61} +(-1.73574 - 6.62488i) q^{62} +(0.577405 + 0.577405i) q^{63} +(-0.266636 + 7.99556i) q^{64} +(6.74845 + 4.41116i) q^{65} +(-17.1609 - 10.0354i) q^{66} +(-2.55946 + 2.55946i) q^{67} +(4.06959 - 14.5397i) q^{68} -14.0976i q^{69} +(0.638661 - 0.358807i) q^{70} -0.845000 q^{71} +(-7.16650 + 6.93149i) q^{72} +(-3.98883 + 3.98883i) q^{73} +(-1.83583 + 3.13935i) q^{74} +(12.2951 + 3.45778i) q^{75} +(-3.87780 - 6.89229i) q^{76} +(-0.901426 + 0.901426i) q^{77} +(-7.11968 + 10.9069i) q^{78} -6.47326 q^{79} +(4.25038 + 7.86984i) q^{80} +7.14942 q^{81} +(-1.46551 + 0.383968i) q^{82} +(8.45583 + 8.45583i) q^{83} +(0.580310 + 1.03143i) q^{84} +(-4.26824 - 16.3321i) q^{85} +(4.12802 + 2.41399i) q^{86} +(5.15482 + 5.15482i) q^{87} +(-10.8212 - 11.1881i) q^{88} +8.36507 q^{89} +(-3.01118 + 10.7326i) q^{90} +(0.560862 + 0.618913i) q^{91} +(2.97510 - 10.6294i) q^{92} +(8.74691 - 8.74691i) q^{93} +(5.08226 + 2.97202i) q^{94} +(-7.62972 - 4.46808i) q^{95} +(-12.7098 + 6.87457i) q^{96} +(-6.74011 - 6.74011i) q^{97} +(-9.50285 + 2.48978i) q^{98} -19.3983i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q+O(q^{10}) \) Copy content Toggle raw display \( 64 q - 24 q^{12} - 4 q^{16} - 40 q^{17} - 36 q^{22} + 44 q^{26} + 24 q^{30} + 28 q^{36} + 16 q^{38} - 44 q^{40} + 8 q^{42} - 44 q^{48} + 56 q^{52} - 48 q^{53} - 64 q^{56} + 80 q^{61} + 20 q^{62} - 72 q^{65} - 24 q^{66} - 76 q^{68} - 112 q^{77} - 20 q^{78} + 80 q^{81} + 52 q^{82} - 152 q^{88} - 64 q^{90} + 56 q^{92}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).

\(n\) \(41\) \(131\) \(157\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.358430 + 1.36804i 0.253448 + 0.967349i
\(3\) −1.80624 + 1.80624i −1.04283 + 1.04283i −0.0437910 + 0.999041i \(0.513944\pi\)
−0.999041 + 0.0437910i \(0.986056\pi\)
\(4\) −1.74306 + 0.980692i −0.871528 + 0.490346i
\(5\) −1.12997 + 1.92955i −0.505339 + 0.862921i
\(6\) −3.11841 1.82359i −1.27309 0.744478i
\(7\) −0.163803 + 0.163803i −0.0619118 + 0.0619118i −0.737385 0.675473i \(-0.763940\pi\)
0.675473 + 0.737385i \(0.263940\pi\)
\(8\) −1.96639 2.03306i −0.695223 0.718794i
\(9\) 3.52499i 1.17500i
\(10\) −3.04471 0.854237i −0.962823 0.270134i
\(11\) 5.50310 1.65925 0.829623 0.558324i \(-0.188555\pi\)
0.829623 + 0.558324i \(0.188555\pi\)
\(12\) 1.37701 4.91974i 0.397508 1.42021i
\(13\) 0.177198 3.60119i 0.0491458 0.998792i
\(14\) −0.282801 0.165377i −0.0755818 0.0441989i
\(15\) −1.44422 5.52622i −0.372897 1.42686i
\(16\) 2.07649 3.41880i 0.519121 0.854701i
\(17\) −5.33812 + 5.33812i −1.29468 + 1.29468i −0.362829 + 0.931856i \(0.618189\pi\)
−0.931856 + 0.362829i \(0.881811\pi\)
\(18\) 4.82232 1.26346i 1.13663 0.297801i
\(19\) 3.95414i 0.907143i 0.891220 + 0.453572i \(0.149850\pi\)
−0.891220 + 0.453572i \(0.850150\pi\)
\(20\) 0.0773117 4.47147i 0.0172874 0.999851i
\(21\) 0.591735i 0.129127i
\(22\) 1.97248 + 7.52845i 0.420533 + 1.60507i
\(23\) −3.90248 + 3.90248i −0.813722 + 0.813722i −0.985190 0.171467i \(-0.945149\pi\)
0.171467 + 0.985190i \(0.445149\pi\)
\(24\) 7.22395 + 0.120419i 1.47458 + 0.0245804i
\(25\) −2.44632 4.36068i −0.489264 0.872136i
\(26\) 4.99008 1.04836i 0.978636 0.205601i
\(27\) 0.948252 + 0.948252i 0.182491 + 0.182491i
\(28\) 0.124878 0.446159i 0.0235997 0.0843161i
\(29\) 2.85390i 0.529955i −0.964255 0.264978i \(-0.914635\pi\)
0.964255 0.264978i \(-0.0853646\pi\)
\(30\) 7.04243 3.95652i 1.28577 0.722358i
\(31\) −4.84261 −0.869759 −0.434880 0.900489i \(-0.643209\pi\)
−0.434880 + 0.900489i \(0.643209\pi\)
\(32\) 5.42133 + 1.61531i 0.958364 + 0.285549i
\(33\) −9.93990 + 9.93990i −1.73031 + 1.73031i
\(34\) −9.21610 5.38941i −1.58055 0.924276i
\(35\) −0.130973 0.501160i −0.0221385 0.0847115i
\(36\) 3.45693 + 6.14425i 0.576155 + 1.02404i
\(37\) 1.81836 + 1.81836i 0.298937 + 0.298937i 0.840597 0.541660i \(-0.182204\pi\)
−0.541660 + 0.840597i \(0.682204\pi\)
\(38\) −5.40942 + 1.41729i −0.877524 + 0.229914i
\(39\) 6.18455 + 6.82467i 0.990321 + 1.09282i
\(40\) 6.14485 1.49694i 0.971586 0.236688i
\(41\) 1.07125i 0.167301i 0.996495 + 0.0836505i \(0.0266579\pi\)
−0.996495 + 0.0836505i \(0.973342\pi\)
\(42\) 0.809516 0.212096i 0.124911 0.0327271i
\(43\) 2.39102 2.39102i 0.364627 0.364627i −0.500886 0.865513i \(-0.666992\pi\)
0.865513 + 0.500886i \(0.166992\pi\)
\(44\) −9.59220 + 5.39684i −1.44608 + 0.813605i
\(45\) 6.80164 + 3.98314i 1.01393 + 0.593772i
\(46\) −6.73750 3.93997i −0.993390 0.580917i
\(47\) 2.94373 2.94373i 0.429388 0.429388i −0.459032 0.888420i \(-0.651804\pi\)
0.888420 + 0.459032i \(0.151804\pi\)
\(48\) 2.42454 + 9.92579i 0.349953 + 1.43267i
\(49\) 6.94634i 0.992334i
\(50\) 5.08874 4.90966i 0.719656 0.694331i
\(51\) 19.2838i 2.70028i
\(52\) 3.22280 + 6.45086i 0.446922 + 0.894573i
\(53\) 7.51087 + 7.51087i 1.03170 + 1.03170i 0.999481 + 0.0322169i \(0.0102567\pi\)
0.0322169 + 0.999481i \(0.489743\pi\)
\(54\) −0.957363 + 1.63713i −0.130281 + 0.222785i
\(55\) −6.21835 + 10.6185i −0.838482 + 1.43180i
\(56\) 0.655122 + 0.0109205i 0.0875444 + 0.00145931i
\(57\) −7.14212 7.14212i −0.945998 0.945998i
\(58\) 3.90424 1.02292i 0.512652 0.134316i
\(59\) 3.40057i 0.442717i 0.975193 + 0.221358i \(0.0710491\pi\)
−0.975193 + 0.221358i \(0.928951\pi\)
\(60\) 7.93689 + 8.21618i 1.02465 + 1.06070i
\(61\) −3.68135 −0.471348 −0.235674 0.971832i \(-0.575730\pi\)
−0.235674 + 0.971832i \(0.575730\pi\)
\(62\) −1.73574 6.62488i −0.220439 0.841360i
\(63\) 0.577405 + 0.577405i 0.0727462 + 0.0727462i
\(64\) −0.266636 + 7.99556i −0.0333295 + 0.999444i
\(65\) 6.74845 + 4.41116i 0.837043 + 0.547138i
\(66\) −17.1609 10.0354i −2.11236 1.23527i
\(67\) −2.55946 + 2.55946i −0.312688 + 0.312688i −0.845950 0.533262i \(-0.820966\pi\)
0.533262 + 0.845950i \(0.320966\pi\)
\(68\) 4.06959 14.5397i 0.493510 1.76320i
\(69\) 14.0976i 1.69715i
\(70\) 0.638661 0.358807i 0.0763346 0.0428857i
\(71\) −0.845000 −0.100283 −0.0501415 0.998742i \(-0.515967\pi\)
−0.0501415 + 0.998742i \(0.515967\pi\)
\(72\) −7.16650 + 6.93149i −0.844580 + 0.816884i
\(73\) −3.98883 + 3.98883i −0.466857 + 0.466857i −0.900895 0.434037i \(-0.857089\pi\)
0.434037 + 0.900895i \(0.357089\pi\)
\(74\) −1.83583 + 3.13935i −0.213411 + 0.364942i
\(75\) 12.2951 + 3.45778i 1.41971 + 0.399270i
\(76\) −3.87780 6.89229i −0.444814 0.790600i
\(77\) −0.901426 + 0.901426i −0.102727 + 0.102727i
\(78\) −7.11968 + 10.9069i −0.806145 + 1.23496i
\(79\) −6.47326 −0.728298 −0.364149 0.931341i \(-0.618640\pi\)
−0.364149 + 0.931341i \(0.618640\pi\)
\(80\) 4.25038 + 7.86984i 0.475206 + 0.879874i
\(81\) 7.14942 0.794381
\(82\) −1.46551 + 0.383968i −0.161838 + 0.0424022i
\(83\) 8.45583 + 8.45583i 0.928148 + 0.928148i 0.997586 0.0694385i \(-0.0221208\pi\)
−0.0694385 + 0.997586i \(0.522121\pi\)
\(84\) 0.580310 + 1.03143i 0.0633170 + 0.112538i
\(85\) −4.26824 16.3321i −0.462955 1.77147i
\(86\) 4.12802 + 2.41399i 0.445136 + 0.260307i
\(87\) 5.15482 + 5.15482i 0.552654 + 0.552654i
\(88\) −10.8212 11.1881i −1.15355 1.19266i
\(89\) 8.36507 0.886696 0.443348 0.896350i \(-0.353791\pi\)
0.443348 + 0.896350i \(0.353791\pi\)
\(90\) −3.01118 + 10.7326i −0.317406 + 1.13131i
\(91\) 0.560862 + 0.618913i 0.0587943 + 0.0648797i
\(92\) 2.97510 10.6294i 0.310176 1.10819i
\(93\) 8.74691 8.74691i 0.907012 0.907012i
\(94\) 5.08226 + 2.97202i 0.524195 + 0.306540i
\(95\) −7.62972 4.46808i −0.782793 0.458415i
\(96\) −12.7098 + 6.87457i −1.29719 + 0.701633i
\(97\) −6.74011 6.74011i −0.684354 0.684354i 0.276624 0.960978i \(-0.410784\pi\)
−0.960978 + 0.276624i \(0.910784\pi\)
\(98\) −9.50285 + 2.48978i −0.959933 + 0.251505i
\(99\) 19.3983i 1.94961i
\(100\) 8.54056 + 5.20181i 0.854056 + 0.520181i
\(101\) 4.74976 0.472618 0.236309 0.971678i \(-0.424062\pi\)
0.236309 + 0.971678i \(0.424062\pi\)
\(102\) 26.3810 6.91191i 2.61211 0.684381i
\(103\) 3.08067 3.08067i 0.303548 0.303548i −0.538852 0.842400i \(-0.681142\pi\)
0.842400 + 0.538852i \(0.181142\pi\)
\(104\) −7.66987 + 6.72109i −0.752093 + 0.659057i
\(105\) 1.14178 + 0.668645i 0.111427 + 0.0652531i
\(106\) −7.58304 + 12.9673i −0.736530 + 1.25949i
\(107\) 5.32573 + 5.32573i 0.514858 + 0.514858i 0.916011 0.401153i \(-0.131390\pi\)
−0.401153 + 0.916011i \(0.631390\pi\)
\(108\) −2.58280 0.722913i −0.248530 0.0695623i
\(109\) 4.54240 0.435083 0.217541 0.976051i \(-0.430196\pi\)
0.217541 + 0.976051i \(0.430196\pi\)
\(110\) −16.7554 4.70095i −1.59756 0.448218i
\(111\) −6.56879 −0.623482
\(112\) 0.219876 + 0.900146i 0.0207763 + 0.0850558i
\(113\) −5.38073 5.38073i −0.506176 0.506176i 0.407174 0.913351i \(-0.366514\pi\)
−0.913351 + 0.407174i \(0.866514\pi\)
\(114\) 7.21074 12.3307i 0.675348 1.15487i
\(115\) −3.12033 11.9397i −0.290972 1.11338i
\(116\) 2.79880 + 4.97450i 0.259862 + 0.461871i
\(117\) −12.6942 0.624619i −1.17358 0.0577461i
\(118\) −4.65211 + 1.21887i −0.428262 + 0.112206i
\(119\) 1.74880i 0.160313i
\(120\) −8.39522 + 13.8029i −0.766375 + 1.26003i
\(121\) 19.2841 1.75310
\(122\) −1.31951 5.03622i −0.119462 0.455958i
\(123\) −1.93493 1.93493i −0.174467 0.174467i
\(124\) 8.44094 4.74911i 0.758019 0.426483i
\(125\) 11.1784 + 0.207150i 0.999828 + 0.0185281i
\(126\) −0.582952 + 0.996871i −0.0519335 + 0.0888083i
\(127\) 1.90930 + 1.90930i 0.169423 + 0.169423i 0.786726 0.617303i \(-0.211775\pi\)
−0.617303 + 0.786726i \(0.711775\pi\)
\(128\) −11.0338 + 2.50108i −0.975259 + 0.221066i
\(129\) 8.63750i 0.760489i
\(130\) −3.61579 + 10.8132i −0.317126 + 0.948383i
\(131\) 12.9187i 1.12871i 0.825531 + 0.564357i \(0.190876\pi\)
−0.825531 + 0.564357i \(0.809124\pi\)
\(132\) 7.57781 27.0738i 0.659564 2.35647i
\(133\) −0.647702 0.647702i −0.0561629 0.0561629i
\(134\) −4.41883 2.58405i −0.381729 0.223228i
\(135\) −2.90120 + 0.758200i −0.249696 + 0.0652555i
\(136\) 21.3495 + 0.355884i 1.83071 + 0.0305168i
\(137\) 8.36256 + 8.36256i 0.714462 + 0.714462i 0.967465 0.253003i \(-0.0814184\pi\)
−0.253003 + 0.967465i \(0.581418\pi\)
\(138\) 19.2860 5.05300i 1.64174 0.430140i
\(139\) −8.68654 −0.736782 −0.368391 0.929671i \(-0.620091\pi\)
−0.368391 + 0.929671i \(0.620091\pi\)
\(140\) 0.719777 + 0.745105i 0.0608323 + 0.0629729i
\(141\) 10.6342i 0.895558i
\(142\) −0.302874 1.15599i −0.0254166 0.0970087i
\(143\) 0.975136 19.8177i 0.0815450 1.65724i
\(144\) −12.0512 7.31959i −1.00427 0.609965i
\(145\) 5.50674 + 3.22483i 0.457310 + 0.267807i
\(146\) −6.88659 4.02715i −0.569938 0.333290i
\(147\) −12.5467 12.5467i −1.03484 1.03484i
\(148\) −4.95276 1.38625i −0.407115 0.113949i
\(149\) −0.123061 −0.0100815 −0.00504077 0.999987i \(-0.501605\pi\)
−0.00504077 + 0.999987i \(0.501605\pi\)
\(150\) −0.323457 + 18.0595i −0.0264101 + 1.47455i
\(151\) −10.1462 −0.825688 −0.412844 0.910802i \(-0.635465\pi\)
−0.412844 + 0.910802i \(0.635465\pi\)
\(152\) 8.03900 7.77538i 0.652049 0.630667i
\(153\) 18.8168 + 18.8168i 1.52125 + 1.52125i
\(154\) −1.55628 0.910086i −0.125409 0.0733368i
\(155\) 5.47202 9.34406i 0.439523 0.750533i
\(156\) −17.4729 5.83064i −1.39895 0.466825i
\(157\) −1.00798 + 1.00798i −0.0804455 + 0.0804455i −0.746185 0.665739i \(-0.768116\pi\)
0.665739 + 0.746185i \(0.268116\pi\)
\(158\) −2.32021 8.85566i −0.184586 0.704518i
\(159\) −27.1328 −2.15177
\(160\) −9.24277 + 8.63546i −0.730705 + 0.682693i
\(161\) 1.27848i 0.100758i
\(162\) 2.56257 + 9.78068i 0.201335 + 0.768443i
\(163\) 7.07447 + 7.07447i 0.554115 + 0.554115i 0.927626 0.373511i \(-0.121846\pi\)
−0.373511 + 0.927626i \(0.621846\pi\)
\(164\) −1.05057 1.86725i −0.0820354 0.145807i
\(165\) −7.94771 30.4113i −0.618728 2.36752i
\(166\) −8.53707 + 14.5987i −0.662605 + 1.13308i
\(167\) 4.86064 4.86064i 0.376128 0.376128i −0.493575 0.869703i \(-0.664310\pi\)
0.869703 + 0.493575i \(0.164310\pi\)
\(168\) −1.20303 + 1.16358i −0.0928159 + 0.0897723i
\(169\) −12.9372 1.27625i −0.995169 0.0981728i
\(170\) 20.8131 11.6930i 1.59629 0.896814i
\(171\) 13.9383 1.06589
\(172\) −1.82283 + 6.51253i −0.138989 + 0.496576i
\(173\) −10.2707 10.2707i −0.780868 0.780868i 0.199109 0.979977i \(-0.436195\pi\)
−0.979977 + 0.199109i \(0.936195\pi\)
\(174\) −5.20434 + 8.89963i −0.394540 + 0.674679i
\(175\) 1.11501 + 0.313578i 0.0842868 + 0.0237043i
\(176\) 11.4271 18.8140i 0.861350 1.41816i
\(177\) −6.14224 6.14224i −0.461679 0.461679i
\(178\) 2.99830 + 11.4437i 0.224732 + 0.857744i
\(179\) 2.77329 0.207286 0.103643 0.994615i \(-0.466950\pi\)
0.103643 + 0.994615i \(0.466950\pi\)
\(180\) −15.7619 0.272523i −1.17482 0.0203127i
\(181\) −17.0228 −1.26530 −0.632648 0.774439i \(-0.718032\pi\)
−0.632648 + 0.774439i \(0.718032\pi\)
\(182\) −0.645667 + 0.989118i −0.0478600 + 0.0733183i
\(183\) 6.64939 6.64939i 0.491537 0.491537i
\(184\) 15.6077 + 0.260171i 1.15062 + 0.0191801i
\(185\) −5.56332 + 1.45392i −0.409024 + 0.106894i
\(186\) 15.1013 + 8.83095i 1.10728 + 0.647517i
\(187\) −29.3762 + 29.3762i −2.14820 + 2.14820i
\(188\) −2.24419 + 8.01799i −0.163675 + 0.584772i
\(189\) −0.310654 −0.0225967
\(190\) 3.37778 12.0392i 0.245050 0.873418i
\(191\) 10.8719i 0.786660i −0.919397 0.393330i \(-0.871323\pi\)
0.919397 0.393330i \(-0.128677\pi\)
\(192\) −13.9603 14.9235i −1.00750 1.07701i
\(193\) 1.45498 1.45498i 0.104732 0.104732i −0.652799 0.757531i \(-0.726406\pi\)
0.757531 + 0.652799i \(0.226406\pi\)
\(194\) 6.80486 11.6366i 0.488561 0.835458i
\(195\) −20.1569 + 4.22170i −1.44347 + 0.302322i
\(196\) −6.81222 12.1079i −0.486587 0.864847i
\(197\) 6.48486 + 6.48486i 0.462027 + 0.462027i 0.899320 0.437292i \(-0.144062\pi\)
−0.437292 + 0.899320i \(0.644062\pi\)
\(198\) 26.5377 6.95295i 1.88595 0.494125i
\(199\) 15.4094 1.09234 0.546172 0.837673i \(-0.316084\pi\)
0.546172 + 0.837673i \(0.316084\pi\)
\(200\) −4.05509 + 13.5483i −0.286738 + 0.958009i
\(201\) 9.24600i 0.652163i
\(202\) 1.70246 + 6.49785i 0.119784 + 0.457187i
\(203\) 0.467478 + 0.467478i 0.0328105 + 0.0328105i
\(204\) 18.9115 + 33.6128i 1.32407 + 2.35337i
\(205\) −2.06703 1.21048i −0.144367 0.0845437i
\(206\) 5.31868 + 3.11027i 0.370570 + 0.216703i
\(207\) 13.7562 + 13.7562i 0.956120 + 0.956120i
\(208\) −11.9438 8.08363i −0.828155 0.560499i
\(209\) 21.7600i 1.50517i
\(210\) −0.505482 + 1.80166i −0.0348816 + 0.124327i
\(211\) 11.8632i 0.816693i 0.912827 + 0.408347i \(0.133895\pi\)
−0.912827 + 0.408347i \(0.866105\pi\)
\(212\) −20.4577 5.72601i −1.40504 0.393264i
\(213\) 1.52627 1.52627i 0.104578 0.104578i
\(214\) −5.37690 + 9.19471i −0.367557 + 0.628537i
\(215\) 1.91180 + 7.31538i 0.130384 + 0.498905i
\(216\) 0.0632184 3.79248i 0.00430147 0.258046i
\(217\) 0.793236 0.793236i 0.0538484 0.0538484i
\(218\) 1.62813 + 6.21417i 0.110271 + 0.420877i
\(219\) 14.4096i 0.973707i
\(220\) 0.425454 24.6069i 0.0286841 1.65900i
\(221\) 18.2777 + 20.1695i 1.22949 + 1.35675i
\(222\) −2.35445 8.98636i −0.158021 0.603125i
\(223\) 13.3351 + 13.3351i 0.892984 + 0.892984i 0.994803 0.101819i \(-0.0324664\pi\)
−0.101819 + 0.994803i \(0.532466\pi\)
\(224\) −1.15262 + 0.623438i −0.0770129 + 0.0416552i
\(225\) −15.3713 + 8.62325i −1.02476 + 0.574884i
\(226\) 5.43243 9.28966i 0.361360 0.617939i
\(227\) 12.4870 12.4870i 0.828789 0.828789i −0.158560 0.987349i \(-0.550685\pi\)
0.987349 + 0.158560i \(0.0506851\pi\)
\(228\) 19.4533 + 5.44489i 1.28833 + 0.360597i
\(229\) 22.5006 1.48688 0.743442 0.668800i \(-0.233192\pi\)
0.743442 + 0.668800i \(0.233192\pi\)
\(230\) 15.2156 8.54828i 1.00328 0.563657i
\(231\) 3.25638i 0.214254i
\(232\) −5.80213 + 5.61187i −0.380929 + 0.368437i
\(233\) −2.41578 2.41578i −0.158263 0.158263i 0.623534 0.781796i \(-0.285696\pi\)
−0.781796 + 0.623534i \(0.785696\pi\)
\(234\) −3.69547 17.5900i −0.241580 1.14989i
\(235\) 2.35374 + 9.00642i 0.153541 + 0.587514i
\(236\) −3.33492 5.92739i −0.217084 0.385840i
\(237\) 11.6922 11.6922i 0.759492 0.759492i
\(238\) 2.39243 0.626824i 0.155078 0.0406310i
\(239\) 18.0281i 1.16614i −0.812422 0.583069i \(-0.801852\pi\)
0.812422 0.583069i \(-0.198148\pi\)
\(240\) −21.8920 6.53760i −1.41312 0.422001i
\(241\) 6.86574i 0.442261i −0.975244 0.221131i \(-0.929025\pi\)
0.975244 0.221131i \(-0.0709747\pi\)
\(242\) 6.91200 + 26.3814i 0.444320 + 1.69586i
\(243\) −15.7583 + 15.7583i −1.01090 + 1.01090i
\(244\) 6.41679 3.61027i 0.410793 0.231124i
\(245\) −13.4033 7.84917i −0.856305 0.501465i
\(246\) 1.95352 3.34059i 0.124552 0.212989i
\(247\) 14.2396 + 0.700665i 0.906047 + 0.0445823i
\(248\) 9.52246 + 9.84531i 0.604677 + 0.625178i
\(249\) −30.5465 −1.93580
\(250\) 3.72329 + 15.3668i 0.235482 + 0.971879i
\(251\) 29.5621i 1.86594i 0.359951 + 0.932971i \(0.382793\pi\)
−0.359951 + 0.932971i \(0.617207\pi\)
\(252\) −1.57270 0.440192i −0.0990711 0.0277295i
\(253\) −21.4757 + 21.4757i −1.35017 + 1.35017i
\(254\) −1.92764 + 3.29634i −0.120951 + 0.206831i
\(255\) 37.2091 + 21.7902i 2.33012 + 1.36456i
\(256\) −7.37642 14.1982i −0.461026 0.887387i
\(257\) −17.4691 + 17.4691i −1.08969 + 1.08969i −0.0941336 + 0.995560i \(0.530008\pi\)
−0.995560 + 0.0941336i \(0.969992\pi\)
\(258\) −11.8164 + 3.09594i −0.735659 + 0.192745i
\(259\) −0.595708 −0.0370155
\(260\) −16.0889 1.07075i −0.997793 0.0664050i
\(261\) −10.0600 −0.622695
\(262\) −17.6733 + 4.63046i −1.09186 + 0.286071i
\(263\) 11.9852 11.9852i 0.739039 0.739039i −0.233353 0.972392i \(-0.574970\pi\)
0.972392 + 0.233353i \(0.0749697\pi\)
\(264\) 39.7541 + 0.662676i 2.44669 + 0.0407849i
\(265\) −22.9797 + 6.00552i −1.41163 + 0.368916i
\(266\) 0.653925 1.11824i 0.0400947 0.0685635i
\(267\) −15.1093 + 15.1093i −0.924675 + 0.924675i
\(268\) 1.95124 6.97134i 0.119191 0.425842i
\(269\) 7.60815i 0.463877i −0.972730 0.231939i \(-0.925493\pi\)
0.972730 0.231939i \(-0.0745069\pi\)
\(270\) −2.07712 3.69719i −0.126410 0.225004i
\(271\) 21.2833 1.29287 0.646435 0.762969i \(-0.276259\pi\)
0.646435 + 0.762969i \(0.276259\pi\)
\(272\) 7.16545 + 29.3345i 0.434469 + 1.77867i
\(273\) −2.13095 0.104854i −0.128971 0.00634606i
\(274\) −8.44291 + 14.4377i −0.510055 + 0.872213i
\(275\) −13.4623 23.9972i −0.811810 1.44709i
\(276\) 13.8254 + 24.5729i 0.832191 + 1.47911i
\(277\) 2.57091 2.57091i 0.154471 0.154471i −0.625640 0.780112i \(-0.715162\pi\)
0.780112 + 0.625640i \(0.215162\pi\)
\(278\) −3.11352 11.8835i −0.186736 0.712726i
\(279\) 17.0702i 1.02196i
\(280\) −0.761342 + 1.25175i −0.0454989 + 0.0748064i
\(281\) 21.5337i 1.28459i 0.766457 + 0.642296i \(0.222018\pi\)
−0.766457 + 0.642296i \(0.777982\pi\)
\(282\) −14.5479 + 3.81160i −0.866317 + 0.226978i
\(283\) 14.9022 14.9022i 0.885845 0.885845i −0.108275 0.994121i \(-0.534533\pi\)
0.994121 + 0.108275i \(0.0345329\pi\)
\(284\) 1.47288 0.828685i 0.0873995 0.0491734i
\(285\) 21.8515 5.71067i 1.29437 0.338271i
\(286\) 27.4609 5.76925i 1.62380 0.341143i
\(287\) −0.175474 0.175474i −0.0103579 0.0103579i
\(288\) 5.69394 19.1101i 0.335519 1.12607i
\(289\) 39.9911i 2.35242i
\(290\) −2.43791 + 8.68930i −0.143159 + 0.510253i
\(291\) 24.3485 1.42733
\(292\) 3.04094 10.8646i 0.177957 0.635801i
\(293\) 19.5898 19.5898i 1.14445 1.14445i 0.156819 0.987627i \(-0.449876\pi\)
0.987627 0.156819i \(-0.0501239\pi\)
\(294\) 12.6673 21.6615i 0.738771 1.26333i
\(295\) −6.56157 3.84256i −0.382030 0.223722i
\(296\) 0.121227 7.27244i 0.00704619 0.422702i
\(297\) 5.21833 + 5.21833i 0.302798 + 0.302798i
\(298\) −0.0441087 0.168352i −0.00255515 0.00975236i
\(299\) 13.3621 + 14.7451i 0.772748 + 0.852730i
\(300\) −24.8220 + 6.03056i −1.43310 + 0.348175i
\(301\) 0.783314i 0.0451495i
\(302\) −3.63672 13.8804i −0.209269 0.798729i
\(303\) −8.57919 + 8.57919i −0.492861 + 0.492861i
\(304\) 13.5184 + 8.21072i 0.775336 + 0.470917i
\(305\) 4.15982 7.10334i 0.238191 0.406736i
\(306\) −18.9976 + 32.4866i −1.08602 + 1.85714i
\(307\) 9.48956 9.48956i 0.541598 0.541598i −0.382399 0.923997i \(-0.624902\pi\)
0.923997 + 0.382399i \(0.124902\pi\)
\(308\) 0.687214 2.45526i 0.0391576 0.139901i
\(309\) 11.1289i 0.633098i
\(310\) 14.7444 + 4.13674i 0.837424 + 0.234951i
\(311\) 11.0553i 0.626889i 0.949606 + 0.313445i \(0.101483\pi\)
−0.949606 + 0.313445i \(0.898517\pi\)
\(312\) 1.71372 25.9935i 0.0970202 1.47159i
\(313\) 15.6291 + 15.6291i 0.883412 + 0.883412i 0.993880 0.110468i \(-0.0352349\pi\)
−0.110468 + 0.993880i \(0.535235\pi\)
\(314\) −1.74024 1.01766i −0.0982077 0.0574301i
\(315\) −1.76658 + 0.461679i −0.0995357 + 0.0260127i
\(316\) 11.2832 6.34827i 0.634732 0.357118i
\(317\) 10.0029 + 10.0029i 0.561821 + 0.561821i 0.929824 0.368003i \(-0.119959\pi\)
−0.368003 + 0.929824i \(0.619959\pi\)
\(318\) −9.72523 37.1188i −0.545364 2.08152i
\(319\) 15.7053i 0.879327i
\(320\) −15.1265 9.54925i −0.845599 0.533819i
\(321\) −19.2391 −1.07382
\(322\) 1.74900 0.458245i 0.0974682 0.0255370i
\(323\) −21.1077 21.1077i −1.17446 1.17446i
\(324\) −12.4618 + 7.01139i −0.692325 + 0.389521i
\(325\) −16.1371 + 8.03698i −0.895127 + 0.445811i
\(326\) −7.14244 + 12.2138i −0.395583 + 0.676463i
\(327\) −8.20465 + 8.20465i −0.453718 + 0.453718i
\(328\) 2.17791 2.10649i 0.120255 0.116311i
\(329\) 0.964386i 0.0531683i
\(330\) 38.7552 21.7731i 2.13340 1.19857i
\(331\) −12.4043 −0.681800 −0.340900 0.940100i \(-0.610732\pi\)
−0.340900 + 0.940100i \(0.610732\pi\)
\(332\) −23.0315 6.44641i −1.26402 0.353793i
\(333\) 6.40971 6.40971i 0.351250 0.351250i
\(334\) 8.39174 + 4.90734i 0.459176 + 0.268518i
\(335\) −2.04649 7.83074i −0.111812 0.427839i
\(336\) −2.02303 1.22873i −0.110365 0.0670327i
\(337\) 5.74054 5.74054i 0.312707 0.312707i −0.533250 0.845958i \(-0.679030\pi\)
0.845958 + 0.533250i \(0.179030\pi\)
\(338\) −2.89113 18.1560i −0.157257 0.987558i
\(339\) 19.4378 1.05571
\(340\) 23.4565 + 24.2819i 1.27211 + 1.31687i
\(341\) −26.6494 −1.44314
\(342\) 4.99591 + 19.0681i 0.270148 + 1.03109i
\(343\) −2.28446 2.28446i −0.123349 0.123349i
\(344\) −9.56275 0.159405i −0.515589 0.00859455i
\(345\) 27.2020 + 15.9299i 1.46451 + 0.857637i
\(346\) 10.3694 17.7321i 0.557462 0.953282i
\(347\) −18.9733 18.9733i −1.01854 1.01854i −0.999825 0.0187150i \(-0.994042\pi\)
−0.0187150 0.999825i \(-0.505958\pi\)
\(348\) −14.0404 3.92984i −0.752646 0.210662i
\(349\) 6.46256 0.345933 0.172966 0.984928i \(-0.444665\pi\)
0.172966 + 0.984928i \(0.444665\pi\)
\(350\) −0.0293335 + 1.63777i −0.00156794 + 0.0875425i
\(351\) 3.58287 3.24681i 0.191239 0.173302i
\(352\) 29.8341 + 8.88920i 1.59016 + 0.473796i
\(353\) −11.1294 + 11.1294i −0.592358 + 0.592358i −0.938268 0.345910i \(-0.887570\pi\)
0.345910 + 0.938268i \(0.387570\pi\)
\(354\) 6.20125 10.6044i 0.329593 0.563617i
\(355\) 0.954827 1.63047i 0.0506770 0.0865363i
\(356\) −14.5808 + 8.20356i −0.772780 + 0.434788i
\(357\) 3.15876 + 3.15876i 0.167179 + 0.167179i
\(358\) 0.994032 + 3.79397i 0.0525362 + 0.200518i
\(359\) 25.0442i 1.32178i 0.750481 + 0.660892i \(0.229822\pi\)
−0.750481 + 0.660892i \(0.770178\pi\)
\(360\) −5.27671 21.6605i −0.278107 1.14161i
\(361\) 3.36474 0.177091
\(362\) −6.10149 23.2879i −0.320687 1.22398i
\(363\) −34.8316 + 34.8316i −1.82819 + 1.82819i
\(364\) −1.58458 0.528767i −0.0830544 0.0277149i
\(365\) −3.18937 12.2039i −0.166939 0.638782i
\(366\) 11.4800 + 6.71327i 0.600067 + 0.350908i
\(367\) −20.9337 20.9337i −1.09273 1.09273i −0.995236 0.0974934i \(-0.968918\pi\)
−0.0974934 0.995236i \(-0.531082\pi\)
\(368\) 5.23836 + 21.4452i 0.273068 + 1.11791i
\(369\) 3.77614 0.196578
\(370\) −3.98308 7.08971i −0.207071 0.368576i
\(371\) −2.46061 −0.127749
\(372\) −6.66832 + 23.8244i −0.345736 + 1.23524i
\(373\) −6.04223 6.04223i −0.312855 0.312855i 0.533160 0.846014i \(-0.321004\pi\)
−0.846014 + 0.533160i \(0.821004\pi\)
\(374\) −50.7171 29.6584i −2.62252 1.53360i
\(375\) −20.5650 + 19.8167i −1.06197 + 1.02333i
\(376\) −11.7733 0.196254i −0.607161 0.0101210i
\(377\) −10.2774 0.505704i −0.529315 0.0260451i
\(378\) −0.111348 0.424986i −0.00572711 0.0218589i
\(379\) 7.86972i 0.404241i −0.979361 0.202120i \(-0.935217\pi\)
0.979361 0.202120i \(-0.0647832\pi\)
\(380\) 17.6808 + 0.305702i 0.907008 + 0.0156822i
\(381\) −6.89729 −0.353359
\(382\) 14.8731 3.89680i 0.760974 0.199378i
\(383\) −14.1927 14.1927i −0.725214 0.725214i 0.244448 0.969662i \(-0.421393\pi\)
−0.969662 + 0.244448i \(0.921393\pi\)
\(384\) 15.4121 24.4472i 0.786496 1.24757i
\(385\) −0.720759 2.75793i −0.0367333 0.140557i
\(386\) 2.51197 + 1.46896i 0.127856 + 0.0747679i
\(387\) −8.42831 8.42831i −0.428435 0.428435i
\(388\) 18.3584 + 5.13841i 0.932004 + 0.260863i
\(389\) 6.86099i 0.347866i 0.984758 + 0.173933i \(0.0556476\pi\)
−0.984758 + 0.173933i \(0.944352\pi\)
\(390\) −13.0003 26.0622i −0.658296 1.31971i
\(391\) 41.6638i 2.10703i
\(392\) 14.1223 13.6592i 0.713284 0.689893i
\(393\) −23.3343 23.3343i −1.17706 1.17706i
\(394\) −6.54717 + 11.1959i −0.329842 + 0.564042i
\(395\) 7.31461 12.4905i 0.368038 0.628464i
\(396\) 19.0238 + 33.8124i 0.955983 + 1.69914i
\(397\) −19.7640 19.7640i −0.991926 0.991926i 0.00804162 0.999968i \(-0.497440\pi\)
−0.999968 + 0.00804162i \(0.997440\pi\)
\(398\) 5.52320 + 21.0807i 0.276853 + 1.05668i
\(399\) 2.33981 0.117137
\(400\) −19.9880 0.691394i −0.999402 0.0345697i
\(401\) 4.02695i 0.201096i −0.994932 0.100548i \(-0.967940\pi\)
0.994932 0.100548i \(-0.0320596\pi\)
\(402\) 12.6489 3.31405i 0.630869 0.165290i
\(403\) −0.858100 + 17.4392i −0.0427450 + 0.868708i
\(404\) −8.27909 + 4.65805i −0.411900 + 0.231747i
\(405\) −8.07866 + 13.7952i −0.401432 + 0.685487i
\(406\) −0.471969 + 0.807086i −0.0234234 + 0.0400550i
\(407\) 10.0066 + 10.0066i 0.496010 + 0.496010i
\(408\) −39.2051 + 37.9195i −1.94094 + 1.87729i
\(409\) 17.7152 0.875961 0.437981 0.898984i \(-0.355694\pi\)
0.437981 + 0.898984i \(0.355694\pi\)
\(410\) 0.915101 3.26165i 0.0451936 0.161081i
\(411\) −30.2095 −1.49013
\(412\) −2.34859 + 8.39098i −0.115707 + 0.413394i
\(413\) −0.557025 0.557025i −0.0274094 0.0274094i
\(414\) −13.8883 + 23.7496i −0.682575 + 1.16723i
\(415\) −25.8708 + 6.76108i −1.26995 + 0.331888i
\(416\) 6.77769 19.2370i 0.332303 0.943173i
\(417\) 15.6899 15.6899i 0.768340 0.768340i
\(418\) −29.7686 + 7.79946i −1.45603 + 0.381484i
\(419\) 10.3928 0.507720 0.253860 0.967241i \(-0.418300\pi\)
0.253860 + 0.967241i \(0.418300\pi\)
\(420\) −2.64593 0.0457481i −0.129108 0.00223228i
\(421\) 21.0719i 1.02698i −0.858095 0.513491i \(-0.828352\pi\)
0.858095 0.513491i \(-0.171648\pi\)
\(422\) −16.2293 + 4.25211i −0.790028 + 0.206990i
\(423\) −10.3766 10.3766i −0.504529 0.504529i
\(424\) 0.500737 30.0393i 0.0243179 1.45884i
\(425\) 36.3366 + 10.2191i 1.76258 + 0.495698i
\(426\) 2.63506 + 1.54093i 0.127669 + 0.0746585i
\(427\) 0.603017 0.603017i 0.0291820 0.0291820i
\(428\) −14.5060 4.06014i −0.701172 0.196254i
\(429\) 34.0342 + 37.5568i 1.64319 + 1.81326i
\(430\) −9.32247 + 5.23747i −0.449569 + 0.252573i
\(431\) 8.95805 0.431494 0.215747 0.976449i \(-0.430781\pi\)
0.215747 + 0.976449i \(0.430781\pi\)
\(432\) 5.21092 1.27286i 0.250711 0.0612403i
\(433\) −7.88055 7.88055i −0.378715 0.378715i 0.491924 0.870638i \(-0.336294\pi\)
−0.870638 + 0.491924i \(0.836294\pi\)
\(434\) 1.36950 + 0.800857i 0.0657380 + 0.0384424i
\(435\) −15.7713 + 4.12167i −0.756175 + 0.197619i
\(436\) −7.91765 + 4.45469i −0.379187 + 0.213341i
\(437\) −15.4310 15.4310i −0.738163 0.738163i
\(438\) 19.7128 5.16482i 0.941915 0.246785i
\(439\) 6.72857 0.321137 0.160569 0.987025i \(-0.448667\pi\)
0.160569 + 0.987025i \(0.448667\pi\)
\(440\) 33.8157 8.23783i 1.61210 0.392723i
\(441\) 24.4858 1.16599
\(442\) −21.0414 + 32.2340i −1.00084 + 1.53321i
\(443\) 19.9839 19.9839i 0.949463 0.949463i −0.0493202 0.998783i \(-0.515705\pi\)
0.998783 + 0.0493202i \(0.0157055\pi\)
\(444\) 11.4498 6.44196i 0.543382 0.305722i
\(445\) −9.45231 + 16.1408i −0.448082 + 0.765148i
\(446\) −13.4632 + 23.0226i −0.637501 + 1.09015i
\(447\) 0.222277 0.222277i 0.0105133 0.0105133i
\(448\) −1.26602 1.35337i −0.0598139 0.0639409i
\(449\) −26.2168 −1.23725 −0.618623 0.785688i \(-0.712309\pi\)
−0.618623 + 0.785688i \(0.712309\pi\)
\(450\) −17.3065 17.9377i −0.815836 0.845593i
\(451\) 5.89519i 0.277593i
\(452\) 14.6558 + 4.10207i 0.689349 + 0.192945i
\(453\) 18.3265 18.3265i 0.861054 0.861054i
\(454\) 21.5584 + 12.6069i 1.01178 + 0.591673i
\(455\) −1.82798 + 0.382856i −0.0856971 + 0.0179486i
\(456\) −0.476153 + 28.5645i −0.0222979 + 1.33766i
\(457\) 24.2798 + 24.2798i 1.13576 + 1.13576i 0.989202 + 0.146559i \(0.0468198\pi\)
0.146559 + 0.989202i \(0.453180\pi\)
\(458\) 8.06491 + 30.7817i 0.376848 + 1.43834i
\(459\) −10.1238 −0.472537
\(460\) 17.1481 + 17.7515i 0.799534 + 0.827668i
\(461\) 19.0541i 0.887437i −0.896166 0.443718i \(-0.853659\pi\)
0.896166 0.443718i \(-0.146341\pi\)
\(462\) 4.45485 1.16718i 0.207258 0.0543023i
\(463\) −25.5890 25.5890i −1.18922 1.18922i −0.977283 0.211938i \(-0.932023\pi\)
−0.211938 0.977283i \(-0.567977\pi\)
\(464\) −9.75691 5.92608i −0.452953 0.275111i
\(465\) 6.99382 + 26.7614i 0.324331 + 1.24103i
\(466\) 2.43899 4.17076i 0.112984 0.193207i
\(467\) 15.7814 + 15.7814i 0.730276 + 0.730276i 0.970674 0.240399i \(-0.0772782\pi\)
−0.240399 + 0.970674i \(0.577278\pi\)
\(468\) 22.7392 11.3603i 1.05112 0.525131i
\(469\) 0.838498i 0.0387182i
\(470\) −11.4775 + 6.44818i −0.529416 + 0.297432i
\(471\) 3.64130i 0.167782i
\(472\) 6.91356 6.68684i 0.318222 0.307787i
\(473\) 13.1580 13.1580i 0.605006 0.605006i
\(474\) 20.1863 + 11.8046i 0.927186 + 0.542202i
\(475\) 17.2428 9.67311i 0.791152 0.443833i
\(476\) 1.71504 + 3.04826i 0.0786087 + 0.139717i
\(477\) 26.4757 26.4757i 1.21224 1.21224i
\(478\) 24.6631 6.46180i 1.12806 0.295556i
\(479\) 25.6415i 1.17159i 0.810459 + 0.585795i \(0.199218\pi\)
−0.810459 + 0.585795i \(0.800782\pi\)
\(480\) 1.09694 32.2923i 0.0500684 1.47394i
\(481\) 6.87049 6.22607i 0.313267 0.283884i
\(482\) 9.39259 2.46089i 0.427821 0.112090i
\(483\) 2.30923 + 2.30923i 0.105074 + 0.105074i
\(484\) −33.6132 + 18.9117i −1.52787 + 0.859625i
\(485\) 20.6215 5.38923i 0.936375 0.244712i
\(486\) −27.2062 15.9097i −1.23410 0.721679i
\(487\) 29.4309 29.4309i 1.33364 1.33364i 0.431551 0.902089i \(-0.357967\pi\)
0.902089 0.431551i \(-0.142033\pi\)
\(488\) 7.23896 + 7.48439i 0.327692 + 0.338802i
\(489\) −25.5564 −1.15570
\(490\) 5.93382 21.1496i 0.268063 0.955442i
\(491\) 0.827418i 0.0373409i 0.999826 + 0.0186704i \(0.00594333\pi\)
−0.999826 + 0.0186704i \(0.994057\pi\)
\(492\) 5.27026 + 1.47512i 0.237602 + 0.0665035i
\(493\) 15.2345 + 15.2345i 0.686125 + 0.686125i
\(494\) 4.14538 + 19.7315i 0.186510 + 0.887763i
\(495\) 37.4301 + 21.9196i 1.68236 + 0.985213i
\(496\) −10.0556 + 16.5559i −0.451510 + 0.743384i
\(497\) 0.138414 0.138414i 0.00620871 0.00620871i
\(498\) −10.9488 41.7887i −0.490626 1.87260i
\(499\) 3.46199i 0.154980i 0.996993 + 0.0774901i \(0.0246906\pi\)
−0.996993 + 0.0774901i \(0.975309\pi\)
\(500\) −19.6878 + 10.6015i −0.880463 + 0.474114i
\(501\) 17.5589i 0.784476i
\(502\) −40.4421 + 10.5959i −1.80502 + 0.472920i
\(503\) −31.3922 + 31.3922i −1.39971 + 1.39971i −0.598840 + 0.800868i \(0.704372\pi\)
−0.800868 + 0.598840i \(0.795628\pi\)
\(504\) 0.0384946 2.30930i 0.00171469 0.102864i
\(505\) −5.36710 + 9.16489i −0.238833 + 0.407832i
\(506\) −37.0771 21.6820i −1.64828 0.963884i
\(507\) 25.6729 21.0625i 1.14017 0.935416i
\(508\) −5.20045 1.45558i −0.230733 0.0645809i
\(509\) 14.2413 0.631233 0.315616 0.948887i \(-0.397789\pi\)
0.315616 + 0.948887i \(0.397789\pi\)
\(510\) −16.4730 + 58.7137i −0.729435 + 2.59989i
\(511\) 1.30677i 0.0578080i
\(512\) 16.7797 15.1803i 0.741566 0.670880i
\(513\) −3.74953 + 3.74953i −0.165546 + 0.165546i
\(514\) −30.1599 17.6369i −1.33029 0.777932i
\(515\) 2.46323 + 9.42539i 0.108543 + 0.415332i
\(516\) −8.47073 15.0556i −0.372903 0.662788i
\(517\) 16.1996 16.1996i 0.712460 0.712460i
\(518\) −0.213520 0.814951i −0.00938152 0.0358069i
\(519\) 37.1027 1.62863
\(520\) −4.30193 22.3940i −0.188652 0.982044i
\(521\) −34.5357 −1.51304 −0.756519 0.653972i \(-0.773101\pi\)
−0.756519 + 0.653972i \(0.773101\pi\)
\(522\) −3.60579 13.7624i −0.157821 0.602364i
\(523\) 25.5110 25.5110i 1.11552 1.11552i 0.123127 0.992391i \(-0.460708\pi\)
0.992391 0.123127i \(-0.0392921\pi\)
\(524\) −12.6693 22.5180i −0.553460 0.983705i
\(525\) −2.58037 + 1.44758i −0.112616 + 0.0631774i
\(526\) 20.6921 + 12.1004i 0.902217 + 0.527601i
\(527\) 25.8505 25.8505i 1.12606 1.12606i
\(528\) 13.3425 + 54.6226i 0.580658 + 2.37714i
\(529\) 7.45862i 0.324288i
\(530\) −16.4524 29.2845i −0.714646 1.27204i
\(531\) 11.9870 0.520190
\(532\) 1.76418 + 0.493784i 0.0764868 + 0.0214083i
\(533\) 3.85777 + 0.189823i 0.167099 + 0.00822214i
\(534\) −26.0857 15.2545i −1.12884 0.660126i
\(535\) −16.2942 + 4.25833i −0.704460 + 0.184104i
\(536\) 10.2364 + 0.170635i 0.442147 + 0.00737032i
\(537\) −5.00923 + 5.00923i −0.216164 + 0.216164i
\(538\) 10.4082 2.72699i 0.448731 0.117569i
\(539\) 38.2264i 1.64653i
\(540\) 4.31339 4.16677i 0.185619 0.179309i
\(541\) 9.57872i 0.411821i 0.978571 + 0.205911i \(0.0660156\pi\)
−0.978571 + 0.205911i \(0.933984\pi\)
\(542\) 7.62859 + 29.1164i 0.327676 + 1.25066i
\(543\) 30.7473 30.7473i 1.31949 1.31949i
\(544\) −37.5624 + 20.3170i −1.61048 + 0.871084i
\(545\) −5.13278 + 8.76478i −0.219864 + 0.375442i
\(546\) −0.620354 2.95281i −0.0265487 0.126369i
\(547\) −13.2510 13.2510i −0.566571 0.566571i 0.364595 0.931166i \(-0.381207\pi\)
−0.931166 + 0.364595i \(0.881207\pi\)
\(548\) −22.7775 6.37531i −0.973007 0.272340i
\(549\) 12.9767i 0.553832i
\(550\) 28.0038 27.0183i 1.19409 1.15207i
\(551\) 11.2847 0.480745
\(552\) −28.6612 + 27.7213i −1.21990 + 1.17990i
\(553\) 1.06034 1.06034i 0.0450903 0.0450903i
\(554\) 4.43860 + 2.59561i 0.188578 + 0.110277i
\(555\) 7.42256 12.6748i 0.315070 0.538016i
\(556\) 15.1411 8.51882i 0.642126 0.361278i
\(557\) −18.1693 18.1693i −0.769857 0.769857i 0.208224 0.978081i \(-0.433232\pi\)
−0.978081 + 0.208224i \(0.933232\pi\)
\(558\) −23.3526 + 6.11846i −0.988595 + 0.259015i
\(559\) −8.18684 9.03421i −0.346267 0.382106i
\(560\) −1.98533 0.592880i −0.0838955 0.0250537i
\(561\) 106.121i 4.48042i
\(562\) −29.4589 + 7.71832i −1.24265 + 0.325578i
\(563\) −3.38749 + 3.38749i −0.142766 + 0.142766i −0.774877 0.632112i \(-0.782188\pi\)
0.632112 + 0.774877i \(0.282188\pi\)
\(564\) −10.4288 18.5359i −0.439133 0.780504i
\(565\) 16.4625 4.30230i 0.692581 0.180999i
\(566\) 25.7282 + 15.0454i 1.08144 + 0.632405i
\(567\) −1.17110 + 1.17110i −0.0491816 + 0.0491816i
\(568\) 1.66160 + 1.71793i 0.0697191 + 0.0720828i
\(569\) 8.75169i 0.366890i −0.983030 0.183445i \(-0.941275\pi\)
0.983030 0.183445i \(-0.0587249\pi\)
\(570\) 15.6447 + 27.8468i 0.655282 + 1.16637i
\(571\) 12.1139i 0.506950i 0.967342 + 0.253475i \(0.0815736\pi\)
−0.967342 + 0.253475i \(0.918426\pi\)
\(572\) 17.7354 + 35.4997i 0.741553 + 1.48432i
\(573\) 19.6371 + 19.6371i 0.820354 + 0.820354i
\(574\) 0.177160 0.302950i 0.00739452 0.0126449i
\(575\) 26.5641 + 7.47073i 1.10780 + 0.311551i
\(576\) 28.1842 + 0.939889i 1.17434 + 0.0391621i
\(577\) 21.0644 + 21.0644i 0.876921 + 0.876921i 0.993215 0.116293i \(-0.0371013\pi\)
−0.116293 + 0.993215i \(0.537101\pi\)
\(578\) 54.7093 14.3340i 2.27561 0.596216i
\(579\) 5.25607i 0.218435i
\(580\) −12.7611 0.220640i −0.529876 0.00916156i
\(581\) −2.77019 −0.114927
\(582\) 8.72723 + 33.3096i 0.361755 + 1.38073i
\(583\) 41.3331 + 41.3331i 1.71184 + 1.71184i
\(584\) 15.9531 + 0.265929i 0.660144 + 0.0110042i
\(585\) 15.5493 23.7882i 0.642884 0.983522i
\(586\) 33.8211 + 19.7780i 1.39714 + 0.817021i
\(587\) −26.1589 + 26.1589i −1.07970 + 1.07970i −0.0831587 + 0.996536i \(0.526501\pi\)
−0.996536 + 0.0831587i \(0.973499\pi\)
\(588\) 34.1741 + 9.56517i 1.40932 + 0.394461i
\(589\) 19.1484i 0.788996i
\(590\) 2.90490 10.3538i 0.119593 0.426258i
\(591\) −23.4264 −0.963634
\(592\) 9.99243 2.44082i 0.410686 0.100317i
\(593\) −13.0189 + 13.0189i −0.534622 + 0.534622i −0.921944 0.387323i \(-0.873400\pi\)
0.387323 + 0.921944i \(0.373400\pi\)
\(594\) −5.26846 + 9.00927i −0.216168 + 0.369655i
\(595\) 3.37440 + 1.97610i 0.138337 + 0.0810123i
\(596\) 0.214502 0.120685i 0.00878634 0.00494344i
\(597\) −27.8331 + 27.8331i −1.13913 + 1.13913i
\(598\) −15.3825 + 23.5649i −0.629036 + 0.963640i
\(599\) −41.8791 −1.71113 −0.855566 0.517693i \(-0.826791\pi\)
−0.855566 + 0.517693i \(0.826791\pi\)
\(600\) −17.1470 31.7959i −0.700023 1.29806i
\(601\) 10.5248 0.429314 0.214657 0.976689i \(-0.431137\pi\)
0.214657 + 0.976689i \(0.431137\pi\)
\(602\) −1.07160 + 0.280763i −0.0436753 + 0.0114431i
\(603\) 9.02208 + 9.02208i 0.367408 + 0.367408i
\(604\) 17.6854 9.95033i 0.719610 0.404873i
\(605\) −21.7905 + 37.2096i −0.885909 + 1.51278i
\(606\) −14.8117 8.66161i −0.601684 0.351854i
\(607\) 3.02394 + 3.02394i 0.122738 + 0.122738i 0.765808 0.643070i \(-0.222339\pi\)
−0.643070 + 0.765808i \(0.722339\pi\)
\(608\) −6.38716 + 21.4367i −0.259034 + 0.869373i
\(609\) −1.68875 −0.0684317
\(610\) 11.2086 + 3.14474i 0.453825 + 0.127327i
\(611\) −10.0793 11.1226i −0.407766 0.449971i
\(612\) −51.2523 14.3452i −2.07175 0.579872i
\(613\) −8.41384 + 8.41384i −0.339832 + 0.339832i −0.856304 0.516472i \(-0.827245\pi\)
0.516472 + 0.856304i \(0.327245\pi\)
\(614\) 16.3834 + 9.58074i 0.661181 + 0.386647i
\(615\) 5.91996 1.54712i 0.238716 0.0623861i
\(616\) 3.60520 + 0.0600965i 0.145258 + 0.00242136i
\(617\) 24.5072 + 24.5072i 0.986623 + 0.986623i 0.999912 0.0132885i \(-0.00422999\pi\)
−0.0132885 + 0.999912i \(0.504230\pi\)
\(618\) −15.2247 + 3.98892i −0.612427 + 0.160458i
\(619\) 33.5082i 1.34681i −0.739274 0.673404i \(-0.764831\pi\)
0.739274 0.673404i \(-0.235169\pi\)
\(620\) −0.374391 + 21.6536i −0.0150359 + 0.869629i
\(621\) −7.40106 −0.296994
\(622\) −15.1241 + 3.96256i −0.606421 + 0.158884i
\(623\) −1.37023 + 1.37023i −0.0548970 + 0.0548970i
\(624\) 36.1743 6.97242i 1.44813 0.279120i
\(625\) −13.0310 + 21.3352i −0.521241 + 0.853410i
\(626\) −15.7793 + 26.9832i −0.630668 + 1.07847i
\(627\) −39.3038 39.3038i −1.56964 1.56964i
\(628\) 0.768446 2.74548i 0.0306644 0.109557i
\(629\) −19.4133 −0.774059
\(630\) −1.26479 2.25127i −0.0503905 0.0896928i
\(631\) −46.8580 −1.86539 −0.932693 0.360670i \(-0.882548\pi\)
−0.932693 + 0.360670i \(0.882548\pi\)
\(632\) 12.7289 + 13.1605i 0.506330 + 0.523496i
\(633\) −21.4277 21.4277i −0.851674 0.851674i
\(634\) −10.0990 + 17.2698i −0.401084 + 0.685869i
\(635\) −5.84154 + 1.52663i −0.231815 + 0.0605825i
\(636\) 47.2941 26.6090i 1.87533 1.05511i
\(637\) 25.0151 + 1.23087i 0.991135 + 0.0487690i
\(638\) 21.4854 5.62925i 0.850616 0.222864i
\(639\) 2.97861i 0.117832i
\(640\) 7.64193 24.1164i 0.302074 0.953285i
\(641\) 13.8420 0.546726 0.273363 0.961911i \(-0.411864\pi\)
0.273363 + 0.961911i \(0.411864\pi\)
\(642\) −6.89587 26.3198i −0.272158 1.03876i
\(643\) 20.3351 + 20.3351i 0.801937 + 0.801937i 0.983398 0.181461i \(-0.0580826\pi\)
−0.181461 + 0.983398i \(0.558083\pi\)
\(644\) 1.25379 + 2.22846i 0.0494063 + 0.0878135i
\(645\) −16.6665 9.76014i −0.656242 0.384305i
\(646\) 21.3105 36.4418i 0.838451 1.43378i
\(647\) 0.602047 + 0.602047i 0.0236689 + 0.0236689i 0.718842 0.695173i \(-0.244672\pi\)
−0.695173 + 0.718842i \(0.744672\pi\)
\(648\) −14.0585 14.5352i −0.552272 0.570996i
\(649\) 18.7137i 0.734576i
\(650\) −16.7789 19.1955i −0.658124 0.752910i
\(651\) 2.86555i 0.112310i
\(652\) −19.2691 5.39332i −0.754635 0.211219i
\(653\) 2.39210 + 2.39210i 0.0936099 + 0.0936099i 0.752361 0.658751i \(-0.228915\pi\)
−0.658751 + 0.752361i \(0.728915\pi\)
\(654\) −14.1651 8.28347i −0.553898 0.323909i
\(655\) −24.9273 14.5978i −0.973990 0.570383i
\(656\) 3.66239 + 2.22443i 0.142992 + 0.0868495i
\(657\) 14.0606 + 14.0606i 0.548555 + 0.548555i
\(658\) −1.31932 + 0.345665i −0.0514323 + 0.0134754i
\(659\) 0.152371 0.00593552 0.00296776 0.999996i \(-0.499055\pi\)
0.00296776 + 0.999996i \(0.499055\pi\)
\(660\) 43.6775 + 45.2144i 1.70014 + 1.75997i
\(661\) 20.9602i 0.815256i 0.913148 + 0.407628i \(0.133644\pi\)
−0.913148 + 0.407628i \(0.866356\pi\)
\(662\) −4.44606 16.9695i −0.172801 0.659538i
\(663\) −69.4448 3.41705i −2.69701 0.132707i
\(664\) 0.563736 33.8186i 0.0218772 1.31242i
\(665\) 1.98166 0.517887i 0.0768454 0.0200828i
\(666\) 11.0662 + 6.47129i 0.428805 + 0.250757i
\(667\) 11.1373 + 11.1373i 0.431237 + 0.431237i
\(668\) −3.70557 + 13.2392i −0.143373 + 0.512239i
\(669\) −48.1727 −1.86246
\(670\) 9.97922 5.60645i 0.385531 0.216596i
\(671\) −20.2588 −0.782083
\(672\) 0.955835 3.20799i 0.0368721 0.123751i
\(673\) −6.41803 6.41803i −0.247397 0.247397i 0.572505 0.819902i \(-0.305972\pi\)
−0.819902 + 0.572505i \(0.805972\pi\)
\(674\) 9.91087 + 5.79570i 0.381752 + 0.223242i
\(675\) 1.81529 6.45475i 0.0698707 0.248444i
\(676\) 23.8019 10.4628i 0.915456 0.402417i
\(677\) −18.3806 + 18.3806i −0.706425 + 0.706425i −0.965782 0.259356i \(-0.916490\pi\)
0.259356 + 0.965782i \(0.416490\pi\)
\(678\) 6.96708 + 26.5916i 0.267569 + 1.02124i
\(679\) 2.20810 0.0847393
\(680\) −24.8111 + 40.7928i −0.951462 + 1.56433i
\(681\) 45.1089i 1.72858i
\(682\) −9.55194 36.4574i −0.365763 1.39602i
\(683\) 15.9897 + 15.9897i 0.611831 + 0.611831i 0.943423 0.331592i \(-0.107586\pi\)
−0.331592 + 0.943423i \(0.607586\pi\)
\(684\) −24.2953 + 13.6692i −0.928952 + 0.522655i
\(685\) −25.5854 + 6.68651i −0.977570 + 0.255478i
\(686\) 2.30640 3.94404i 0.0880589 0.150584i
\(687\) −40.6415 + 40.6415i −1.55057 + 1.55057i
\(688\) −3.20951 13.1393i −0.122361 0.500933i
\(689\) 28.3790 25.7172i 1.08115 0.979748i
\(690\) −12.0427 + 42.9231i −0.458457 + 1.63406i
\(691\) −5.79082 −0.220293 −0.110147 0.993915i \(-0.535132\pi\)
−0.110147 + 0.993915i \(0.535132\pi\)
\(692\) 27.9748 + 7.83002i 1.06344 + 0.297653i
\(693\) 3.17751 + 3.17751i 0.120704 + 0.120704i
\(694\) 19.1556 32.7568i 0.727136 1.24343i
\(695\) 9.81555 16.7611i 0.372325 0.635785i
\(696\) 0.343663 20.6164i 0.0130265 0.781463i
\(697\) −5.71846 5.71846i −0.216602 0.216602i
\(698\) 2.31638 + 8.84103i 0.0876762 + 0.334638i
\(699\) 8.72693 0.330083
\(700\) −2.25105 + 0.546897i −0.0850816 + 0.0206708i
\(701\) 28.4829 1.07578 0.537892 0.843014i \(-0.319221\pi\)
0.537892 + 0.843014i \(0.319221\pi\)
\(702\) 5.72597 + 3.73775i 0.216113 + 0.141072i
\(703\) −7.19007 + 7.19007i −0.271179 + 0.271179i
\(704\) −1.46732 + 44.0003i −0.0553019 + 1.65832i
\(705\) −20.5191 12.0163i −0.772795 0.452561i
\(706\) −19.2145 11.2363i −0.723149 0.422885i
\(707\) −0.778026 + 0.778026i −0.0292607 + 0.0292607i
\(708\) 16.7299 + 4.68262i 0.628749 + 0.175984i
\(709\) −9.26359 −0.347902 −0.173951 0.984754i \(-0.555653\pi\)
−0.173951 + 0.984754i \(0.555653\pi\)
\(710\) 2.57278 + 0.721830i 0.0965548 + 0.0270898i
\(711\) 22.8181i 0.855747i
\(712\) −16.4490 17.0067i −0.616452 0.637352i
\(713\) 18.8982 18.8982i 0.707742 0.707742i
\(714\) −3.18910 + 5.45349i −0.119349 + 0.204092i
\(715\) 37.1374 + 24.2751i 1.38886 + 0.907836i
\(716\) −4.83400 + 2.71975i −0.180655 + 0.101642i
\(717\) 32.5630 + 32.5630i 1.21609 + 1.21609i
\(718\) −34.2615 + 8.97661i −1.27863 + 0.335004i
\(719\) −41.2932 −1.53998 −0.769988 0.638059i \(-0.779738\pi\)
−0.769988 + 0.638059i \(0.779738\pi\)
\(720\) 27.7411 14.9825i 1.03385 0.558366i
\(721\) 1.00925i 0.0375864i
\(722\) 1.20602 + 4.60309i 0.0448836 + 0.171309i
\(723\) 12.4012 + 12.4012i 0.461204 + 0.461204i
\(724\) 29.6717 16.6941i 1.10274 0.620433i
\(725\) −12.4449 + 6.98155i −0.462193 + 0.259288i
\(726\) −60.1357 35.1663i −2.23184 1.30514i
\(727\) −27.2166 27.2166i −1.00941 1.00941i −0.999955 0.00945375i \(-0.996991\pi\)
−0.00945375 0.999955i \(-0.503009\pi\)
\(728\) 0.155413 2.35729i 0.00575999 0.0873669i
\(729\) 35.4782i 1.31401i
\(730\) 15.5523 8.73744i 0.575615 0.323387i
\(731\) 25.5271i 0.944154i
\(732\) −5.06925 + 18.1113i −0.187365 + 0.669411i
\(733\) 21.4865 21.4865i 0.793621 0.793621i −0.188460 0.982081i \(-0.560349\pi\)
0.982081 + 0.188460i \(0.0603495\pi\)
\(734\) 21.1348 36.1413i 0.780100 1.33400i
\(735\) 38.3870 10.0321i 1.41593 0.370039i
\(736\) −27.4603 + 14.8529i −1.01220 + 0.547485i
\(737\) −14.0850 + 14.0850i −0.518827 + 0.518827i
\(738\) 1.35348 + 5.16590i 0.0498224 + 0.190159i
\(739\) 6.00692i 0.220968i −0.993878 0.110484i \(-0.964760\pi\)
0.993878 0.110484i \(-0.0352401\pi\)
\(740\) 8.27133 7.99017i 0.304060 0.293725i
\(741\) −26.9857 + 24.4546i −0.991346 + 0.898363i
\(742\) −0.881958 3.36621i −0.0323777 0.123577i
\(743\) 34.5313 + 34.5313i 1.26683 + 1.26683i 0.947717 + 0.319112i \(0.103385\pi\)
0.319112 + 0.947717i \(0.396615\pi\)
\(744\) −34.9828 0.583142i −1.28253 0.0213790i
\(745\) 0.139055 0.237452i 0.00509460 0.00869957i
\(746\) 6.10028 10.4317i 0.223347 0.381932i
\(747\) 29.8067 29.8067i 1.09057 1.09057i
\(748\) 22.3953 80.0134i 0.818855 2.92558i
\(749\) −1.74475 −0.0637516
\(750\) −34.4812 21.0309i −1.25907 0.767938i
\(751\) 21.7044i 0.792004i 0.918250 + 0.396002i \(0.129603\pi\)
−0.918250 + 0.396002i \(0.870397\pi\)
\(752\) −3.95142 16.1767i −0.144094 0.589902i
\(753\) −53.3961 53.3961i −1.94586 1.94586i
\(754\) −2.99192 14.2412i −0.108959 0.518633i
\(755\) 11.4650 19.5777i 0.417253 0.712504i
\(756\) 0.541487 0.304656i 0.0196937 0.0110802i
\(757\) 17.2030 17.2030i 0.625255 0.625255i −0.321615 0.946870i \(-0.604226\pi\)
0.946870 + 0.321615i \(0.104226\pi\)
\(758\) 10.7661 2.82075i 0.391042 0.102454i
\(759\) 77.5804i 2.81599i
\(760\) 5.91913 + 24.2976i 0.214710 + 0.881367i
\(761\) 28.0417i 1.01651i −0.861206 0.508256i \(-0.830291\pi\)
0.861206 0.508256i \(-0.169709\pi\)
\(762\) −2.47220 9.43576i −0.0895583 0.341822i
\(763\) −0.744059 + 0.744059i −0.0269368 + 0.0269368i
\(764\) 10.6619 + 18.9502i 0.385736 + 0.685596i
\(765\) −57.5705 + 15.0455i −2.08146 + 0.543970i
\(766\) 14.3291 24.5033i 0.517730 0.885339i
\(767\) 12.2461 + 0.602573i 0.442182 + 0.0217577i
\(768\) 38.9689 + 12.3217i 1.40617 + 0.444622i
\(769\) −11.2528 −0.405786 −0.202893 0.979201i \(-0.565034\pi\)
−0.202893 + 0.979201i \(0.565034\pi\)
\(770\) 3.51461 1.97455i 0.126658 0.0711579i
\(771\) 63.1067i 2.27273i
\(772\) −1.10922 + 3.96299i −0.0399217 + 0.142631i
\(773\) 16.3681 16.3681i 0.588719 0.588719i −0.348565 0.937285i \(-0.613331\pi\)
0.937285 + 0.348565i \(0.113331\pi\)
\(774\) 8.50929 14.5512i 0.305860 0.523033i
\(775\) 11.8466 + 21.1171i 0.425542 +