Properties

Label 260.2.p.d.103.15
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 103.15
Character \(\chi\) \(=\) 260.103
Dual form 260.2.p.d.207.15

$q$-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} +(-3.60119 + 0.177198i) 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} +(1.53319 + 4.86306i) 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} +(6.10331 - 3.84053i) 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} +(-3.72734 + 7.14891i) 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} +(-11.5531 - 6.01453i) 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 −0.675473 0.737385i \(-0.736060\pi\)
0.737385 + 0.675473i \(0.236060\pi\)
\(8\) 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 \(-0.811445\pi\)
−0.829623 + 0.558324i \(0.811445\pi\)
\(12\) 1.37701 4.91974i 0.397508 1.42021i
\(13\) −3.60119 + 0.177198i −0.998792 + 0.0491458i
\(14\) −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 \(-0.850150\pi\)
0.891220 0.453572i \(-0.149850\pi\)
\(20\) −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
\(26\) 1.53319 + 4.86306i 0.300683 + 0.953724i
\(27\) 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 \(-0.356791\pi\)
0.434880 + 0.900489i \(0.356791\pi\)
\(32\) −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 0.541660 0.840597i \(-0.317796\pi\)
−0.840597 + 0.541660i \(0.817796\pi\)
\(38\) −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 \(-0.973342\pi\)
0.996495 0.0836505i \(-0.0266579\pi\)
\(42\) 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 −0.888420 0.459032i \(-0.848196\pi\)
0.459032 + 0.888420i \(0.348196\pi\)
\(48\) 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
\(52\) 6.10331 3.84053i 0.846376 0.532586i
\(53\) 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 \(-0.928951\pi\)
0.975193 0.221358i \(-0.0710491\pi\)
\(60\) −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
\(65\) −3.72734 + 7.14891i −0.462320 + 0.886713i
\(66\) −17.1609 10.0354i −2.11236 1.23527i
\(67\) 2.55946 2.55946i 0.312688 0.312688i −0.533262 0.845950i \(-0.679034\pi\)
0.845950 + 0.533262i \(0.179034\pi\)
\(68\) 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 \(-0.484033\pi\)
0.0501415 + 0.998742i \(0.484033\pi\)
\(72\) 7.16650 6.93149i 0.844580 0.816884i
\(73\) 3.98883 3.98883i 0.466857 0.466857i −0.434037 0.900895i \(-0.642911\pi\)
0.900895 + 0.434037i \(0.142911\pi\)
\(74\) −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
\(78\) −11.5531 6.01453i −1.30814 0.681012i
\(79\) −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 0.0694385 0.997586i \(-0.477879\pi\)
−0.997586 + 0.0694385i \(0.977879\pi\)
\(84\) −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 \(-0.646209\pi\)
−0.443348 + 0.896350i \(0.646209\pi\)
\(90\) −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 0.960978 0.276624i \(-0.0892157\pi\)
−0.276624 + 0.960978i \(0.589216\pi\)
\(98\) 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 \(0.181142\pi\)
\(104\) −7.44160 6.97299i −0.729709 0.683758i
\(105\) 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 \(-0.569804\pi\)
−0.217541 + 0.976051i \(0.569804\pi\)
\(110\) 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
\(117\) 0.624619 + 12.6942i 0.0577461 + 1.17358i
\(118\) −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
\(130\) 11.1160 + 2.53676i 0.974935 + 0.222488i
\(131\) 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 0.253003 0.967465i \(-0.418582\pi\)
−0.967465 + 0.253003i \(0.918582\pi\)
\(138\) −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
\(143\) 19.8177 0.975136i 1.65724 0.0815450i
\(144\) −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 \(-0.498395\pi\)
0.00504077 + 0.999987i \(0.498395\pi\)
\(150\) 0.323457 18.0595i 0.0264101 1.47455i
\(151\) 10.1462 0.825688 0.412844 0.910802i \(-0.364535\pi\)
0.412844 + 0.910802i \(0.364535\pi\)
\(152\) 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
\(156\) −4.08711 + 17.9609i −0.327231 + 1.43802i
\(157\) −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 0.373511 0.927626i \(-0.378154\pi\)
−0.927626 + 0.373511i \(0.878154\pi\)
\(164\) 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 −0.869703 0.493575i \(-0.835690\pi\)
0.493575 + 0.869703i \(0.335690\pi\)
\(168\) −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 \(0.718032\pi\)
\(182\) 1.04773 + 0.545443i 0.0776627 + 0.0404310i
\(183\) 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 −0.757531 0.652799i \(-0.773594\pi\)
0.652799 + 0.757531i \(0.273594\pi\)
\(194\) 6.80486 11.6366i 0.488561 0.835458i
\(195\) −6.18017 19.6451i −0.442571 1.40681i
\(196\) −6.81222 12.1079i −0.486587 0.864847i
\(197\) −6.48486 6.48486i −0.462027 0.462027i 0.437292 0.899320i \(-0.355938\pi\)
−0.899320 + 0.437292i \(0.855938\pi\)
\(198\) 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
\(208\) −6.87202 + 12.6797i −0.476489 + 0.879180i
\(209\) 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 0.101819 0.994803i \(-0.467534\pi\)
−0.994803 + 0.101819i \(0.967534\pi\)
\(224\) −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 −0.987349 0.158560i \(-0.949315\pi\)
0.158560 + 0.987349i \(0.449315\pi\)
\(228\) −19.4533 5.44489i −1.28833 0.360597i
\(229\) −22.5006 −1.48688 −0.743442 0.668800i \(-0.766808\pi\)
−0.743442 + 0.668800i \(0.766808\pi\)
\(230\) 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 \(0.785696\pi\)
\(234\) 17.1422 5.40448i 1.12062 0.353302i
\(235\) 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 \(0.198148\pi\)
−0.812422 + 0.583069i \(0.801852\pi\)
\(240\) 21.8920 + 6.53760i 1.41312 + 0.422001i
\(241\) 6.86574i 0.442261i 0.975244 + 0.221131i \(0.0709747\pi\)
−0.975244 + 0.221131i \(0.929025\pi\)
\(242\) −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
\(247\) 0.700665 + 14.2396i 0.0445823 + 0.906047i
\(248\) 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
\(260\) −0.513919 16.1163i −0.0318719 0.999492i
\(261\) −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 \(-0.723741\pi\)
−0.646435 + 0.762969i \(0.723741\pi\)
\(272\) 7.16545 + 29.3345i 0.434469 + 1.77867i
\(273\) −0.104854 2.13095i −0.00634606 0.128971i
\(274\) −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 \(-0.777982\pi\)
0.766457 0.642296i \(-0.222018\pi\)
\(282\) −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
\(286\) −8.43729 26.7619i −0.498908 1.58246i
\(287\) −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 \(0.550124\pi\)
−0.987627 + 0.156819i \(0.949876\pi\)
\(294\) −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 −0.923997 0.382399i \(-0.875098\pi\)
0.382399 + 0.923997i \(0.375098\pi\)
\(308\) 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 \(0.898517\pi\)
\(312\) 26.0362 0.846415i 1.47401 0.0479188i
\(313\) 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 0.368003 0.929824i \(-0.380041\pi\)
−0.929824 + 0.368003i \(0.880041\pi\)
\(318\) 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
\(325\) 9.58238 + 15.2702i 0.531535 + 0.847036i
\(326\) −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 \(-0.389268\pi\)
0.340900 + 0.940100i \(0.389268\pi\)
\(332\) 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 \(0.179030\pi\)
\(338\) −6.38304 17.2411i −0.347191 0.937794i
\(339\) 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 \(-0.555335\pi\)
−0.172966 + 0.984928i \(0.555335\pi\)
\(350\) −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 −0.345910 0.938268i \(-0.612430\pi\)
0.938268 + 0.345910i \(0.112430\pi\)
\(354\) 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 \(-0.770178\pi\)
0.750481 0.660892i \(-0.229822\pi\)
\(360\) −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
\(364\) 0.370650 1.62883i 0.0194274 0.0853741i
\(365\) −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
\(377\) 0.505704 + 10.2774i 0.0260451 + 0.529315i
\(378\) −0.111348 0.424986i −0.00572711 0.0218589i
\(379\) 7.86972i 0.404241i 0.979361 + 0.202120i \(0.0647832\pi\)
−0.979361 + 0.202120i \(0.935217\pi\)
\(380\) 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 0.969662 0.244448i \(-0.0786069\pi\)
−0.244448 + 0.969662i \(0.578607\pi\)
\(384\) −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 \(0.944352\pi\)
\(390\) −24.6601 + 15.4961i −1.24871 + 0.784675i
\(391\) 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 0.999968 0.00804162i \(-0.00255975\pi\)
−0.00804162 + 0.999968i \(0.502560\pi\)
\(398\) −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 \(0.0320596\pi\)
−0.994932 + 0.100548i \(0.967940\pi\)
\(402\) 12.6489 3.31405i 0.630869 0.165290i
\(403\) −17.4392 + 0.858100i −0.868708 + 0.0427450i
\(404\) −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 \(-0.644306\pi\)
−0.437981 + 0.898984i \(0.644306\pi\)
\(410\) −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
\(416\) 19.8095 + 4.85639i 0.971240 + 0.238104i
\(417\) 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 \(0.171648\pi\)
−0.858095 + 0.513491i \(0.828352\pi\)
\(422\) 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 \(-0.569219\pi\)
−0.215747 + 0.976449i \(0.569219\pi\)
\(432\) 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
\(442\) −34.1439 17.7752i −1.62406 0.845482i
\(443\) 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 \(-0.287691\pi\)
0.618623 + 0.785688i \(0.287691\pi\)
\(450\) 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
\(455\) 0.560464 + 1.78157i 0.0262750 + 0.0835211i
\(456\) −0.476153 + 28.5645i −0.0222979 + 1.33766i
\(457\) −24.2798 24.2798i −1.13576 1.13576i −0.989202 0.146559i \(-0.953180\pi\)
−0.146559 0.989202i \(-0.546820\pi\)
\(458\) 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 \(0.146341\pi\)
−0.896166 + 0.443718i \(0.853659\pi\)
\(462\) −4.45485 + 1.16718i −0.207258 + 0.0543023i
\(463\) 25.5890 + 25.5890i 1.18922 + 1.18922i 0.977283 + 0.211938i \(0.0679774\pi\)
0.211938 + 0.977283i \(0.432023\pi\)
\(464\) −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 \(0.577278\pi\)
\(468\) −13.5378 21.5141i −0.625786 0.994489i
\(469\) 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 \(-0.800782\pi\)
0.810459 0.585795i \(-0.199218\pi\)
\(480\) 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 \(0.642033\pi\)
−0.902089 + 0.431551i \(0.857967\pi\)
\(488\) −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
\(494\) 19.2292 6.06246i 0.865164 0.272763i
\(495\) 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 \(-0.975309\pi\)
0.996993 0.0774901i \(-0.0246906\pi\)
\(500\) 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
\(507\) −21.0625 + 25.6729i −0.935416 + 1.14017i
\(508\) −5.20045 1.45558i −0.230733 0.0645809i
\(509\) −14.2413 −0.631233 −0.315616 0.948887i \(-0.602211\pi\)
−0.315616 + 0.948887i \(0.602211\pi\)
\(510\) −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
\(520\) −21.8635 + 6.47964i −0.958780 + 0.284151i
\(521\) −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
\(533\) 0.189823 + 3.85777i 0.00822214 + 0.167099i
\(534\) −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 \(-0.933984\pi\)
0.978571 0.205911i \(-0.0660156\pi\)
\(542\) 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
\(546\) −2.87764 + 0.907243i −0.123152 + 0.0388264i
\(547\) −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 0.978081 0.208224i \(-0.0667683\pi\)
−0.208224 + 0.978081i \(0.566768\pi\)
\(558\) −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 \(0.918426\pi\)
\(572\) −33.5871 + 21.1348i −1.40435 + 0.883691i
\(573\) 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 0.116293 0.993215i \(-0.462899\pi\)
−0.993215 + 0.116293i \(0.962899\pi\)
\(578\) −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
\(585\) 25.1998 + 13.1388i 1.04188 + 0.543224i
\(586\) 33.8211 + 19.7780i 1.39714 + 0.817021i
\(587\) 26.1589 26.1589i 1.07970 1.07970i 0.0831587 0.996536i \(-0.473499\pi\)
0.996536 0.0831587i \(-0.0265009\pi\)
\(588\) 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 −0.387323 0.921944i \(-0.626600\pi\)
0.921944 + 0.387323i \(0.126600\pi\)
\(594\) −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
\(598\) −24.9612 12.9947i −1.02074 0.531394i
\(599\) −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 −0.516472 0.856304i \(-0.672755\pi\)
0.856304 + 0.516472i \(0.172755\pi\)
\(614\) 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 0.0132885 0.999912i \(-0.495770\pi\)
−0.999912 + 0.0132885i \(0.995770\pi\)
\(618\) 15.2247 3.98892i 0.612427 0.160458i
\(619\) 33.5082i 1.34681i 0.739274 + 0.673404i \(0.235169\pi\)
−0.739274 + 0.673404i \(0.764831\pi\)
\(620\) −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
\(624\) −10.4901 35.3151i −0.419939 1.41374i
\(625\) −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 \(-0.117452\pi\)
0.932693 + 0.360670i \(0.117452\pi\)
\(632\) −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
\(637\) −1.23087 25.0151i −0.0487690 0.991135i
\(638\) 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 0.181461 0.983398i \(-0.441917\pi\)
−0.983398 + 0.181461i \(0.941917\pi\)
\(644\) −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
\(650\) 17.4556 18.5824i 0.684663 0.728860i
\(651\) 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 \(-0.866356\pi\)
0.913148 0.407628i \(-0.133644\pi\)
\(662\) −4.44606 16.9695i −0.172801 0.659538i
\(663\) 3.41705 + 69.4448i 0.132707 + 2.69701i
\(664\) 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
\(676\) −21.2987 + 14.9120i −0.819179 + 0.573538i
\(677\) −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 0.331592 0.943423i \(-0.392414\pi\)
−0.943423 + 0.331592i \(0.892414\pi\)
\(684\) 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 \(-0.464868\pi\)
0.110147 + 0.993915i \(0.464868\pi\)
\(692\) 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 \(0.319221\pi\)
\(702\) −3.15756 + 6.06526i −0.119174 + 0.228918i
\(703\) −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 \(-0.444347\pi\)
0.173951 + 0.984754i \(0.444347\pi\)
\(710\) −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
\(715\) 20.5119 39.3412i 0.767102 1.47128i
\(716\) −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 \(-0.503009\pi\)
\(728\) −2.36116 + 0.0767593i −0.0875103 + 0.00284489i
\(729\) 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 −0.982081 0.188460i \(-0.939651\pi\)
0.188460 + 0.982081i \(0.439651\pi\)
\(734\) −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 \(0.0352401\pi\)
−0.993878 + 0.110484i \(0.964760\pi\)
\(740\) 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 \(-0.896615\pi\)
−0.319112 0.947717i \(-0.603385\pi\)
\(744\) −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
\(754\) 13.8787 4.37557i 0.505431 0.159349i
\(755\) 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 \(0.169709\pi\)
−0.861206 + 0.508256i \(0.830291\pi\)
\(762\) 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
\(767\) 0.602573 + 12.2461i 0.0217577 + 0.442182i
\(768\) 38.9689 + 12.3217i 1.40617 + 0.444622i
\(769\) 11.2528 0.405786 0.202893 0.979201i \(-0.434966\pi\)
0.202893 + 0.979201i \(0.434966\pi\)
\(770\) 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 −0.937285 0.348565i \(-0.886669\pi\)
0.348565 + 0.937285i \(0.386669\pi\)
\(774\) −8.50929 + 14.5512i −0.305860 + 0.523033i
\(775\) −11.8466 21.1171i