Properties

Label 260.2.p.d.103.2
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 103.2
Character \(\chi\) \(=\) 260.103
Dual form 260.2.p.d.207.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.36804 - 0.358430i) q^{2} +(1.80624 - 1.80624i) q^{3} +(1.74306 + 0.980692i) q^{4} +(1.12997 - 1.92955i) q^{5} +(-3.11841 + 1.82359i) q^{6} +(-0.163803 + 0.163803i) q^{7} +(-2.03306 - 1.96639i) q^{8} -3.52499i q^{9} +O(q^{10})\) \(q+(-1.36804 - 0.358430i) 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} +(-2.03306 - 1.96639i) q^{8} -3.52499i q^{9} +(-2.23745 + 2.23468i) q^{10} +5.50310 q^{11} +(4.91974 - 1.37701i) 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} +(-1.26346 + 4.82232i) q^{18} +3.95414i q^{19} +(3.86190 - 2.25516i) q^{20} +0.591735i q^{21} +(-7.52845 - 1.97248i) 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} +(-0.446159 + 0.124878i) q^{28} -2.85390i q^{29} +(-0.00501172 + 8.07774i) q^{30} -4.84261 q^{31} +(-1.61531 - 5.42133i) 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} +(1.41729 - 5.40942i) q^{38} +(-6.18455 + 6.82467i) q^{39} +(-6.09154 + 1.70092i) q^{40} -1.07125i q^{41} +(0.212096 - 0.809516i) 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} +(9.92579 + 2.42454i) q^{48} +6.94634i q^{49} +(1.78366 + 6.84241i) q^{50} +19.2838i q^{51} +(-6.45086 - 3.22280i) 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} +(-1.02292 + 3.90424i) q^{58} +3.40057i q^{59} +(2.90216 - 11.0489i) q^{60} -3.68135 q^{61} +(6.62488 + 1.73574i) 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} +(-14.5397 + 4.06959i) q^{68} -14.0976i q^{69} +(0.000454500 - 0.732551i) q^{70} -0.845000 q^{71} +(-6.93149 + 7.16650i) 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} +(10.9069 - 7.11968i) q^{78} +6.47326 q^{79} +(8.94312 - 0.143526i) q^{80} +7.14942 q^{81} +(-0.383968 + 1.46551i) 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} +(-11.1881 - 10.8212i) q^{88} -8.36507 q^{89} +(7.87722 + 7.88700i) q^{90} +(0.560862 - 0.618913i) q^{91} +(10.6294 - 2.97510i) 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} +(2.48978 - 9.50285i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.36804 0.358430i −0.967349 0.253448i
\(3\) 1.80624 1.80624i 1.04283 1.04283i 0.0437910 0.999041i \(-0.486056\pi\)
0.999041 0.0437910i \(-0.0139436\pi\)
\(4\) 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 \(0.263940\pi\)
\(8\) −2.03306 1.96639i −0.718794 0.695223i
\(9\) 3.52499i 1.17500i
\(10\) −2.23745 + 2.23468i −0.707545 + 0.706668i
\(11\) 5.50310 1.65925 0.829623 0.558324i \(-0.188555\pi\)
0.829623 + 0.558324i \(0.188555\pi\)
\(12\) 4.91974 1.37701i 1.42021 0.397508i
\(13\) −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 \(0.881811\pi\)
\(18\) −1.26346 + 4.82232i −0.297801 + 1.13663i
\(19\) 3.95414i 0.907143i 0.891220 + 0.453572i \(0.149850\pi\)
−0.891220 + 0.453572i \(0.850150\pi\)
\(20\) 3.86190 2.25516i 0.863547 0.504268i
\(21\) 0.591735i 0.129127i
\(22\) −7.52845 1.97248i −1.60507 0.420533i
\(23\) 3.90248 3.90248i 0.813722 0.813722i −0.171467 0.985190i \(-0.554851\pi\)
0.985190 + 0.171467i \(0.0548508\pi\)
\(24\) −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
\(28\) −0.446159 + 0.124878i −0.0843161 + 0.0235997i
\(29\) 2.85390i 0.529955i −0.964255 0.264978i \(-0.914635\pi\)
0.964255 0.264978i \(-0.0853646\pi\)
\(30\) −0.00501172 + 8.07774i −0.000915010 + 1.47479i
\(31\) −4.84261 −0.869759 −0.434880 0.900489i \(-0.643209\pi\)
−0.434880 + 0.900489i \(0.643209\pi\)
\(32\) −1.61531 5.42133i −0.285549 0.958364i
\(33\) 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 \(0.817796\pi\)
\(38\) 1.41729 5.40942i 0.229914 0.877524i
\(39\) −6.18455 + 6.82467i −0.990321 + 1.09282i
\(40\) −6.09154 + 1.70092i −0.963157 + 0.268939i
\(41\) 1.07125i 0.167301i −0.996495 0.0836505i \(-0.973342\pi\)
0.996495 0.0836505i \(-0.0266579\pi\)
\(42\) 0.212096 0.809516i 0.0327271 0.124911i
\(43\) −2.39102 + 2.39102i −0.364627 + 0.364627i −0.865513 0.500886i \(-0.833008\pi\)
0.500886 + 0.865513i \(0.333008\pi\)
\(44\) 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 \(0.151804\pi\)
\(48\) 9.92579 + 2.42454i 1.43267 + 0.349953i
\(49\) 6.94634i 0.992334i
\(50\) 1.78366 + 6.84241i 0.252248 + 0.967663i
\(51\) 19.2838i 2.70028i
\(52\) −6.45086 3.22280i −0.894573 0.446922i
\(53\) 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
\(58\) −1.02292 + 3.90424i −0.134316 + 0.512652i
\(59\) 3.40057i 0.442717i 0.975193 + 0.221358i \(0.0710491\pi\)
−0.975193 + 0.221358i \(0.928951\pi\)
\(60\) 2.90216 11.0489i 0.374667 1.42640i
\(61\) −3.68135 −0.471348 −0.235674 0.971832i \(-0.575730\pi\)
−0.235674 + 0.971832i \(0.575730\pi\)
\(62\) 6.62488 + 1.73574i 0.841360 + 0.220439i
\(63\) 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 −0.845950 0.533262i \(-0.820966\pi\)
0.533262 + 0.845950i \(0.320966\pi\)
\(68\) −14.5397 + 4.06959i −1.76320 + 0.493510i
\(69\) 14.0976i 1.69715i
\(70\) 0.000454500 0.732551i 5.43232e−5 0.0875565i
\(71\) −0.845000 −0.100283 −0.0501415 0.998742i \(-0.515967\pi\)
−0.0501415 + 0.998742i \(0.515967\pi\)
\(72\) −6.93149 + 7.16650i −0.816884 + 0.844580i
\(73\) 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
\(78\) 10.9069 7.11968i 1.23496 0.806145i
\(79\) 6.47326 0.728298 0.364149 0.931341i \(-0.381360\pi\)
0.364149 + 0.931341i \(0.381360\pi\)
\(80\) 8.94312 0.143526i 0.999871 0.0160467i
\(81\) 7.14942 0.794381
\(82\) −0.383968 + 1.46551i −0.0424022 + 0.161838i
\(83\) 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
\(88\) −11.1881 10.8212i −1.19266 1.15355i
\(89\) −8.36507 −0.886696 −0.443348 0.896350i \(-0.646209\pi\)
−0.443348 + 0.896350i \(0.646209\pi\)
\(90\) 7.87722 + 7.88700i 0.830332 + 0.831363i
\(91\) 0.560862 0.618913i 0.0587943 0.0648797i
\(92\) 10.6294 2.97510i 1.10819 0.310176i
\(93\) −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 \(0.589216\pi\)
\(98\) 2.48978 9.50285i 0.251505 0.959933i
\(99\) 19.3983i 1.94961i
\(100\) 0.0124087 9.99999i 0.00124087 0.999999i
\(101\) 4.74976 0.472618 0.236309 0.971678i \(-0.424062\pi\)
0.236309 + 0.971678i \(0.424062\pi\)
\(102\) 6.91191 26.3810i 0.684381 2.61211i
\(103\) −3.08067 + 3.08067i −0.303548 + 0.303548i −0.842400 0.538852i \(-0.818858\pi\)
0.538852 + 0.842400i \(0.318858\pi\)
\(104\) 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 0.401153 0.916011i \(-0.368610\pi\)
−0.916011 + 0.401153i \(0.868610\pi\)
\(108\) −0.722913 2.58280i −0.0695623 0.248530i
\(109\) −4.54240 −0.435083 −0.217541 0.976051i \(-0.569804\pi\)
−0.217541 + 0.976051i \(0.569804\pi\)
\(110\) −12.3129 + 12.2977i −1.17399 + 1.17254i
\(111\) −6.56879 −0.623482
\(112\) −0.900146 0.219876i −0.0850558 0.0207763i
\(113\) −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
\(118\) 1.21887 4.65211i 0.112206 0.428262i
\(119\) 1.74880i 0.160313i
\(120\) −7.93051 + 14.0750i −0.723953 + 1.28487i
\(121\) 19.2841 1.75310
\(122\) 5.03622 + 1.31951i 0.455958 + 0.119462i
\(123\) −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 0.617303 0.786726i \(-0.288225\pi\)
−0.786726 + 0.617303i \(0.788225\pi\)
\(128\) 2.50108 11.0338i 0.221066 0.975259i
\(129\) 8.63750i 0.760489i
\(130\) 7.66153 8.44399i 0.671961 0.740587i
\(131\) 12.9187i 1.12871i −0.825531 0.564357i \(-0.809124\pi\)
0.825531 0.564357i \(-0.190876\pi\)
\(132\) 27.0738 7.57781i 2.35647 0.659564i
\(133\) −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 \(0.918582\pi\)
\(138\) −5.05300 + 19.2860i −0.430140 + 1.64174i
\(139\) 8.68654 0.736782 0.368391 0.929671i \(-0.379909\pi\)
0.368391 + 0.929671i \(0.379909\pi\)
\(140\) −0.263190 + 1.00199i −0.0222436 + 0.0846840i
\(141\) 10.6342i 0.895558i
\(142\) 1.15599 + 0.302874i 0.0970087 + 0.0254166i
\(143\) −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
\(148\) −1.38625 4.95276i −0.113949 0.407115i
\(149\) 0.123061 0.0100815 0.00504077 0.999987i \(-0.498395\pi\)
0.00504077 + 0.999987i \(0.498395\pi\)
\(150\) 15.5807 + 9.13730i 1.27216 + 0.746057i
\(151\) −10.1462 −0.825688 −0.412844 0.910802i \(-0.635465\pi\)
−0.412844 + 0.910802i \(0.635465\pi\)
\(152\) 7.77538 8.03900i 0.630667 0.652049i
\(153\) 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 \(0.268116\pi\)
\(158\) −8.85566 2.32021i −0.704518 0.184586i
\(159\) 27.1328 2.15177
\(160\) −12.2860 3.00914i −0.971291 0.237893i
\(161\) 1.27848i 0.100758i
\(162\) −9.78068 2.56257i −0.768443 0.201335i
\(163\) 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 \(0.164310\pi\)
\(168\) 1.16358 1.20303i 0.0897723 0.0928159i
\(169\) 12.9372 1.27625i 0.995169 0.0981728i
\(170\) 0.0148115 23.8728i 0.00113599 1.83096i
\(171\) 13.9383 1.06589
\(172\) −6.51253 + 1.82283i −0.496576 + 0.138989i
\(173\) −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
\(178\) 11.4437 + 2.99830i 0.857744 + 0.224732i
\(179\) −2.77329 −0.207286 −0.103643 0.994615i \(-0.533050\pi\)
−0.103643 + 0.994615i \(0.533050\pi\)
\(180\) −7.94940 13.6132i −0.592513 1.01466i
\(181\) −17.0228 −1.26530 −0.632648 0.774439i \(-0.718032\pi\)
−0.632648 + 0.774439i \(0.718032\pi\)
\(182\) −0.989118 + 0.645667i −0.0733183 + 0.0478600i
\(183\) −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
\(188\) 8.01799 2.24419i 0.584772 0.163675i
\(189\) 0.310654 0.0225967
\(190\) −8.83625 8.84722i −0.641049 0.641845i
\(191\) 10.8719i 0.786660i 0.919397 + 0.393330i \(0.128677\pi\)
−0.919397 + 0.393330i \(0.871323\pi\)
\(192\) 14.9235 + 13.9603i 1.07701 + 1.00750i
\(193\) −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 \(0.855938\pi\)
\(198\) −6.95295 + 26.5377i −0.494125 + 1.88595i
\(199\) −15.4094 −1.09234 −0.546172 0.837673i \(-0.683916\pi\)
−0.546172 + 0.837673i \(0.683916\pi\)
\(200\) −3.60128 + 13.6759i −0.254649 + 0.967034i
\(201\) 9.24600i 0.652163i
\(202\) −6.49785 1.70246i −0.457187 0.119784i
\(203\) 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
\(208\) −8.08363 11.9438i −0.560499 0.828155i
\(209\) 21.7600i 1.50517i
\(210\) −1.32234 1.32398i −0.0912501 0.0913634i
\(211\) 11.8632i 0.816693i −0.912827 0.408347i \(-0.866105\pi\)
0.912827 0.408347i \(-0.133895\pi\)
\(212\) 5.72601 + 20.4577i 0.393264 + 1.40504i
\(213\) −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
\(218\) 6.21417 + 1.62813i 0.420877 + 0.110271i
\(219\) 14.4096i 0.973707i
\(220\) 21.2524 12.4103i 1.43284 0.836705i
\(221\) 18.2777 20.1695i 1.22949 1.35675i
\(222\) 8.98636 + 2.35445i 0.603125 + 0.158021i
\(223\) 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 \(0.0506851\pi\)
\(228\) 5.44489 + 19.4533i 0.360597 + 1.28833i
\(229\) −22.5006 −1.48688 −0.743442 0.668800i \(-0.766808\pi\)
−0.743442 + 0.668800i \(0.766808\pi\)
\(230\) −0.0108281 + 17.4524i −0.000713983 + 1.15078i
\(231\) 3.25638i 0.214254i
\(232\) −5.61187 + 5.80213i −0.368437 + 0.380929i
\(233\) −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
\(238\) −0.626824 + 2.39243i −0.0406310 + 0.155078i
\(239\) 18.0281i 1.16614i −0.812422 0.583069i \(-0.801852\pi\)
0.812422 0.583069i \(-0.198148\pi\)
\(240\) 15.8942 16.4126i 1.02596 1.05943i
\(241\) 6.86574i 0.442261i 0.975244 + 0.221131i \(0.0709747\pi\)
−0.975244 + 0.221131i \(0.929025\pi\)
\(242\) −26.3814 6.91200i −1.69586 0.444320i
\(243\) 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
\(248\) 9.84531 + 9.52246i 0.625178 + 0.604677i
\(249\) 30.5465 1.93580
\(250\) 15.2183 + 4.29007i 0.962487 + 0.271328i
\(251\) 29.5621i 1.86594i −0.359951 0.932971i \(-0.617207\pi\)
0.359951 0.932971i \(-0.382793\pi\)
\(252\) 0.440192 + 1.57270i 0.0277295 + 0.0990711i
\(253\) 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 \(0.969992\pi\)
\(258\) 3.09594 11.8164i 0.192745 0.735659i
\(259\) 0.595708 0.0370155
\(260\) −13.5078 + 8.80557i −0.837721 + 0.546099i
\(261\) −10.0600 −0.622695
\(262\) −4.63046 + 17.6733i −0.286071 + 1.09186i
\(263\) −11.9852 + 11.9852i −0.739039 + 0.739039i −0.972392 0.233353i \(-0.925030\pi\)
0.233353 + 0.972392i \(0.425030\pi\)
\(264\) −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
\(268\) −6.97134 + 1.95124i −0.425842 + 0.119191i
\(269\) 7.60815i 0.463877i −0.972730 0.231939i \(-0.925493\pi\)
0.972730 0.231939i \(-0.0745069\pi\)
\(270\) 4.24071 + 0.00263109i 0.258082 + 0.000160123i
\(271\) 21.2833 1.29287 0.646435 0.762969i \(-0.276259\pi\)
0.646435 + 0.762969i \(0.276259\pi\)
\(272\) −29.3345 7.16545i −1.77867 0.434469i
\(273\) −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 \(0.215162\pi\)
\(278\) −11.8835 3.11352i −0.712726 0.186736i
\(279\) 17.0702i 1.02196i
\(280\) 0.719199 1.27643i 0.0429804 0.0762813i
\(281\) 21.5337i 1.28459i −0.766457 0.642296i \(-0.777982\pi\)
0.766457 0.642296i \(-0.222018\pi\)
\(282\) −3.81160 + 14.5479i −0.226978 + 0.866317i
\(283\) −14.9022 + 14.9022i −0.885845 + 0.885845i −0.994121 0.108275i \(-0.965467\pi\)
0.108275 + 0.994121i \(0.465467\pi\)
\(284\) −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
\(288\) −19.1101 + 5.69394i −1.12607 + 0.335519i
\(289\) 39.9911i 2.35242i
\(290\) 6.37755 + 6.38547i 0.374503 + 0.374968i
\(291\) 24.3485 1.42733
\(292\) 10.8646 3.04094i 0.635801 0.177957i
\(293\) −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
\(298\) −0.168352 0.0441087i −0.00975236 0.00255515i
\(299\) −13.3621 + 14.7451i −0.772748 + 0.852730i
\(300\) −18.0399 18.0848i −1.04154 1.04412i
\(301\) 0.783314i 0.0451495i
\(302\) 13.8804 + 3.63672i 0.798729 + 0.209269i
\(303\) 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 \(0.124902\pi\)
\(308\) −2.45526 + 0.687214i −0.139901 + 0.0391576i
\(309\) 11.1289i 0.633098i
\(310\) 10.8351 10.8217i 0.615394 0.614631i
\(311\) 11.0553i 0.626889i −0.949606 0.313445i \(-0.898517\pi\)
0.949606 0.313445i \(-0.101483\pi\)
\(312\) 25.9935 1.71372i 1.47159 0.0970202i
\(313\) 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 \(0.880041\pi\)
\(318\) −37.1188 9.72523i −2.08152 0.545364i
\(319\) 15.7053i 0.879327i
\(320\) 15.7291 + 8.52027i 0.879284 + 0.476298i
\(321\) −19.2391 −1.07382
\(322\) 0.458245 1.74900i 0.0255370 0.0974682i
\(323\) −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
\(328\) −2.10649 + 2.17791i −0.116311 + 0.120255i
\(329\) 0.964386i 0.0531683i
\(330\) −0.0275800 + 44.4526i −0.00151823 + 2.44703i
\(331\) −12.4043 −0.681800 −0.340900 0.940100i \(-0.610732\pi\)
−0.340900 + 0.940100i \(0.610732\pi\)
\(332\) 6.44641 + 23.0315i 0.353793 + 1.26402i
\(333\) −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 \(0.179030\pi\)
\(338\) −18.1560 2.89113i −0.987558 0.157257i
\(339\) −19.4378 −1.05571
\(340\) −8.57700 + 32.6536i −0.465153 + 1.77089i
\(341\) −26.6494 −1.44314
\(342\) −19.0681 4.99591i −1.03109 0.270148i
\(343\) −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 \(0.00595752\pi\)
0.0187150 + 0.999825i \(0.494042\pi\)
\(348\) −3.92984 14.0404i −0.210662 0.752646i
\(349\) −6.46256 −0.345933 −0.172966 0.984928i \(-0.555335\pi\)
−0.172966 + 0.984928i \(0.555335\pi\)
\(350\) −1.41298 0.828639i −0.0755269 0.0442926i
\(351\) 3.58287 + 3.24681i 0.191239 + 0.173302i
\(352\) −8.88920 29.8341i −0.473796 1.59016i
\(353\) 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
\(358\) 3.79397 + 0.994032i 0.200518 + 0.0525362i
\(359\) 25.0442i 1.32178i 0.750481 + 0.660892i \(0.229822\pi\)
−0.750481 + 0.660892i \(0.770178\pi\)
\(360\) 5.99571 + 21.4726i 0.316002 + 1.13171i
\(361\) 3.36474 0.177091
\(362\) 23.2879 + 6.10149i 1.22398 + 0.320687i
\(363\) 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 \(0.0310825\pi\)
0.0974934 + 0.995236i \(0.468918\pi\)
\(368\) 21.4452 + 5.23836i 1.11791 + 0.273068i
\(369\) −3.77614 −0.196578
\(370\) 8.13197 + 0.00504536i 0.422761 + 0.000262296i
\(371\) −2.46061 −0.127749
\(372\) −23.8244 + 6.66832i −1.23524 + 0.345736i
\(373\) −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
\(378\) −0.424986 0.111348i −0.0218589 0.00572711i
\(379\) 7.86972i 0.404241i −0.979361 0.202120i \(-0.935217\pi\)
0.979361 0.202120i \(-0.0647832\pi\)
\(380\) 8.91721 + 15.2705i 0.457443 + 0.783361i
\(381\) −6.89729 −0.353359
\(382\) 3.89680 14.8731i 0.199378 0.760974i
\(383\) −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
\(388\) 5.13841 + 18.3584i 0.260863 + 0.932004i
\(389\) 6.86099i 0.347866i 0.984758 + 0.173933i \(0.0556476\pi\)
−0.984758 + 0.173933i \(0.944352\pi\)
\(390\) −1.41331 29.0904i −0.0715656 1.47305i
\(391\) 41.6638i 2.10703i
\(392\) 13.6592 14.1223i 0.689893 0.713284i
\(393\) −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 \(0.502560\pi\)
\(398\) 21.0807 + 5.52320i 1.05668 + 0.276853i
\(399\) −2.33981 −0.117137
\(400\) 9.82854 17.4184i 0.491427 0.870919i
\(401\) 4.02695i 0.201096i 0.994932 + 0.100548i \(0.0320596\pi\)
−0.994932 + 0.100548i \(0.967940\pi\)
\(402\) 3.31405 12.6489i 0.165290 0.630869i
\(403\) 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
\(408\) 37.9195 39.2051i 1.87729 1.94094i
\(409\) −17.7152 −0.875961 −0.437981 0.898984i \(-0.644306\pi\)
−0.437981 + 0.898984i \(0.644306\pi\)
\(410\) 2.39390 + 2.39687i 0.118226 + 0.118373i
\(411\) −30.2095 −1.49013
\(412\) −8.39098 + 2.34859i −0.413394 + 0.115707i
\(413\) −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
\(418\) 7.79946 29.7686i 0.381484 1.45603i
\(419\) −10.3928 −0.507720 −0.253860 0.967241i \(-0.581700\pi\)
−0.253860 + 0.967241i \(0.581700\pi\)
\(420\) 1.33446 + 2.28522i 0.0651148 + 0.111507i
\(421\) 21.0719i 1.02698i 0.858095 + 0.513491i \(0.171648\pi\)
−0.858095 + 0.513491i \(0.828352\pi\)
\(422\) −4.25211 + 16.2293i −0.206990 + 0.790028i
\(423\) −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
\(428\) −4.06014 14.5060i −0.196254 0.701172i
\(429\) −34.0342 + 37.5568i −1.64319 + 1.81326i
\(430\) 0.00663429 10.6930i 0.000319934 0.515660i
\(431\) 8.95805 0.431494 0.215747 0.976449i \(-0.430781\pi\)
0.215747 + 0.976449i \(0.430781\pi\)
\(432\) 1.27286 5.21092i 0.0612403 0.250711i
\(433\) −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
\(438\) −5.16482 + 19.7128i −0.246785 + 0.941915i
\(439\) −6.72857 −0.321137 −0.160569 0.987025i \(-0.551333\pi\)
−0.160569 + 0.987025i \(0.551333\pi\)
\(440\) −33.5223 + 9.36031i −1.59812 + 0.446235i
\(441\) 24.4858 1.16599
\(442\) −32.2340 + 21.0414i −1.53321 + 1.00084i
\(443\) −19.9839 + 19.9839i −0.949463 + 0.949463i −0.998783 0.0493202i \(-0.984295\pi\)
0.0493202 + 0.998783i \(0.484295\pi\)
\(444\) −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
\(448\) −1.35337 1.26602i −0.0639409 0.0598139i
\(449\) 26.2168 1.23725 0.618623 0.785688i \(-0.287691\pi\)
0.618623 + 0.785688i \(0.287691\pi\)
\(450\) 24.1194 6.28739i 1.13700 0.296390i
\(451\) 5.89519i 0.277593i
\(452\) −4.10207 14.6558i −0.192945 0.689349i
\(453\) −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 \(-0.546820\pi\)
\(458\) 30.7817 + 8.06491i 1.43834 + 0.376848i
\(459\) 10.1238 0.472537
\(460\) 6.27028 23.8717i 0.292353 1.11302i
\(461\) 19.0541i 0.887437i 0.896166 + 0.443718i \(0.146341\pi\)
−0.896166 + 0.443718i \(0.853659\pi\)
\(462\) 1.16718 4.45485i 0.0543023 0.207258i
\(463\) −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 0.240399 0.970674i \(-0.422722\pi\)
−0.970674 + 0.240399i \(0.922722\pi\)
\(468\) −11.3603 + 22.7392i −0.525131 + 1.05112i
\(469\) 0.838498i 0.0387182i
\(470\) −0.00816789 + 13.1648i −0.000376757 + 0.607246i
\(471\) 3.64130i 0.167782i
\(472\) 6.68684 6.91356i 0.307787 0.318222i
\(473\) −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
\(478\) −6.46180 + 24.6631i −0.295556 + 1.12806i
\(479\) 25.6415i 1.17159i 0.810459 + 0.585795i \(0.199218\pi\)
−0.810459 + 0.585795i \(0.800782\pi\)
\(480\) −27.6266 + 16.7562i −1.26098 + 0.764811i
\(481\) 6.87049 + 6.22607i 0.313267 + 0.283884i
\(482\) 2.46089 9.39259i 0.112090 0.427821i
\(483\) 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 \(-0.142033\pi\)
\(488\) 7.48439 + 7.23896i 0.338802 + 0.327692i
\(489\) 25.5564 1.15570
\(490\) −15.5228 15.5421i −0.701251 0.702121i
\(491\) 0.827418i 0.0373409i −0.999826 0.0186704i \(-0.994057\pi\)
0.999826 0.0186704i \(-0.00594333\pi\)
\(492\) −1.47512 5.27026i −0.0665035 0.237602i
\(493\) 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
\(498\) −41.7887 10.9488i −1.87260 0.490626i
\(499\) 3.46199i 0.154980i 0.996993 + 0.0774901i \(0.0246906\pi\)
−0.996993 + 0.0774901i \(0.975309\pi\)
\(500\) −19.2815 11.3237i −0.862293 0.506410i
\(501\) 17.5589i 0.784476i
\(502\) −10.5959 + 40.4421i −0.472920 + 1.80502i
\(503\) 31.3922 31.3922i 1.39971 1.39971i 0.598840 0.800868i \(-0.295628\pi\)
0.800868 0.598840i \(-0.204372\pi\)
\(504\) −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
\(508\) −1.45558 5.20045i −0.0645809 0.230733i
\(509\) −14.2413 −0.631233 −0.315616 0.948887i \(-0.602211\pi\)
−0.315616 + 0.948887i \(0.602211\pi\)
\(510\) −43.0932 43.1467i −1.90820 1.91057i
\(511\) 1.30677i 0.0578080i
\(512\) 15.1803 16.7797i 0.670880 0.741566i
\(513\) 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
\(518\) −0.814951 0.213520i −0.0358069 0.00938152i
\(519\) −37.1027 −1.62863
\(520\) 21.6354 7.20474i 0.948776 0.315949i
\(521\) −34.5357 −1.51304 −0.756519 0.653972i \(-0.773101\pi\)
−0.756519 + 0.653972i \(0.773101\pi\)
\(522\) 13.7624 + 3.60579i 0.602364 + 0.157821i
\(523\) −25.5110 + 25.5110i −1.11552 + 1.11552i −0.123127 + 0.992391i \(0.539292\pi\)
−0.992391 + 0.123127i \(0.960708\pi\)
\(524\) 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
\(528\) 54.6226 + 13.3425i 2.37714 + 0.580658i
\(529\) 7.45862i 0.324288i
\(530\) −33.5896 0.0208402i −1.45904 0.000905241i
\(531\) 11.9870 0.520190
\(532\) −0.493784 1.76418i −0.0214083 0.0764868i
\(533\) 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
\(538\) −2.72699 + 10.4082i −0.117569 + 0.448731i
\(539\) 38.2264i 1.64653i
\(540\) −5.80051 1.52360i −0.249614 0.0655653i
\(541\) 9.57872i 0.411821i −0.978571 0.205911i \(-0.933984\pi\)
0.978571 0.205911i \(-0.0660156\pi\)
\(542\) −29.1164 7.62859i −1.25066 0.327676i
\(543\) −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 0.931166 0.364595i \(-0.118793\pi\)
−0.364595 + 0.931166i \(0.618793\pi\)
\(548\) −6.37531 22.7775i −0.272340 0.973007i
\(549\) 12.9767i 0.553832i
\(550\) 9.81567 + 37.6544i 0.418541 + 1.60559i
\(551\) 11.2847 0.480745
\(552\) −27.7213 + 28.6612i −1.17990 + 1.21990i
\(553\) −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 \(0.566768\pi\)
\(558\) 6.11846 23.3526i 0.259015 0.988595i
\(559\) 8.18684 9.03421i 0.346267 0.382106i
\(560\) −1.44140 + 1.48842i −0.0609104 + 0.0628973i
\(561\) 106.121i 4.48042i
\(562\) −7.71832 + 29.4589i −0.325578 + 1.24265i
\(563\) 3.38749 3.38749i 0.142766 0.142766i −0.632112 0.774877i \(-0.717812\pi\)
0.774877 + 0.632112i \(0.217812\pi\)
\(564\) 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
\(568\) 1.71793 + 1.66160i 0.0720828 + 0.0697191i
\(569\) 8.75169i 0.366890i −0.983030 0.183445i \(-0.941275\pi\)
0.983030 0.183445i \(-0.0587249\pi\)
\(570\) −31.9405 0.0198171i −1.33784 0.000830045i
\(571\) 12.1139i 0.506950i −0.967342 0.253475i \(-0.918426\pi\)
0.967342 0.253475i \(-0.0815736\pi\)
\(572\) −35.4997 17.7354i −1.48432 0.741553i
\(573\) 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 \(0.962899\pi\)
\(578\) −14.3340 + 54.7093i −0.596216 + 2.27561i
\(579\) 5.25607i 0.218435i
\(580\) −6.43598 11.0215i −0.267240 0.457642i
\(581\) −2.77019 −0.114927
\(582\) −33.3096 8.72723i −1.38073 0.361755i
\(583\) 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 \(0.526501\pi\)
−0.996536 + 0.0831587i \(0.973499\pi\)
\(588\) 9.56517 + 34.1741i 0.394461 + 1.40932i
\(589\) 19.1484i 0.788996i
\(590\) −7.59919 7.60863i −0.312854 0.313242i
\(591\) −23.4264 −0.963634
\(592\) 2.44082 9.99243i 0.100317 0.410686i
\(593\) 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
\(598\) 23.5649 15.3825i 0.963640 0.629036i
\(599\) 41.8791 1.71113 0.855566 0.517693i \(-0.173209\pi\)
0.855566 + 0.517693i \(0.173209\pi\)
\(600\) 18.1972 + 31.2067i 0.742898 + 1.27401i
\(601\) 10.5248 0.429314 0.214657 0.976689i \(-0.431137\pi\)
0.214657 + 0.976689i \(0.431137\pi\)
\(602\) −0.280763 + 1.07160i −0.0114431 + 0.0436753i
\(603\) 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 0.643070 0.765808i \(-0.277661\pi\)
−0.765808 + 0.643070i \(0.777661\pi\)
\(608\) 21.4367 6.38716i 0.869373 0.259034i
\(609\) 1.68875 0.0684317
\(610\) 8.23685 8.22663i 0.333500 0.333087i
\(611\) −10.0793 + 11.1226i −0.407766 + 0.449971i
\(612\) 14.3452 + 51.2523i 0.579872 + 2.07175i
\(613\) 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 \(0.995770\pi\)
\(618\) 3.98892 15.2247i 0.160458 0.612427i
\(619\) 33.5082i 1.34681i −0.739274 0.673404i \(-0.764831\pi\)
0.739274 0.673404i \(-0.235169\pi\)
\(620\) −18.7017 + 10.9208i −0.751078 + 0.438592i
\(621\) −7.40106 −0.296994
\(622\) −3.96256 + 15.1241i −0.158884 + 0.606421i
\(623\) 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
\(628\) −2.74548 + 0.768446i −0.109557 + 0.0306644i
\(629\) 19.4133 0.774059
\(630\) −2.58223 0.00160211i −0.102879 6.38295e-5i
\(631\) −46.8580 −1.86539 −0.932693 0.360670i \(-0.882548\pi\)
−0.932693 + 0.360670i \(0.882548\pi\)
\(632\) −13.1605 12.7289i −0.523496 0.506330i
\(633\) −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
\(638\) −5.62925 + 21.4854i −0.222864 + 0.850616i
\(639\) 2.97861i 0.117832i
\(640\) −18.4641 17.2938i −0.729857 0.683599i
\(641\) 13.8420 0.546726 0.273363 0.961911i \(-0.411864\pi\)
0.273363 + 0.961911i \(0.411864\pi\)
\(642\) 26.3198 + 6.89587i 1.03876 + 0.272158i
\(643\) 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 0.695173 0.718842i \(-0.255328\pi\)
−0.718842 + 0.695173i \(0.755328\pi\)
\(648\) −14.5352 14.0585i −0.570996 0.552272i
\(649\) 18.7137i 0.734576i
\(650\) −7.63577 24.3248i −0.299500 0.954096i
\(651\) 2.86555i 0.112310i
\(652\) 5.39332 + 19.2691i 0.211219 + 0.754635i
\(653\) 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
\(658\) 0.345665 1.31932i 0.0134754 0.0514323i
\(659\) −0.152371 −0.00593552 −0.00296776 0.999996i \(-0.500945\pi\)
−0.00296776 + 0.999996i \(0.500945\pi\)
\(660\) 15.9709 60.8029i 0.621666 2.36675i
\(661\) 20.9602i 0.815256i −0.913148 0.407628i \(-0.866356\pi\)
0.913148 0.407628i \(-0.133644\pi\)
\(662\) 16.9695 + 4.44606i 0.659538 + 0.172801i
\(663\) −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
\(668\) 13.2392 3.70557i 0.512239 0.143373i
\(669\) 48.1727 1.86246
\(670\) 0.00710167 11.4463i 0.000274362 0.442208i
\(671\) −20.2588 −0.782083
\(672\) 3.20799 0.955835i 0.123751 0.0368721i
\(673\) −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 \(0.416490\pi\)
\(678\) 26.5916 + 6.96708i 1.02124 + 0.267569i
\(679\) −2.20810 −0.0847393
\(680\) 23.4377 41.5971i 0.898794 1.59518i
\(681\) 45.1089i 1.72858i
\(682\) 36.4574 + 9.55194i 1.39602 + 0.365763i
\(683\) 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
\(688\) −13.1393 3.20951i −0.500933 0.122361i
\(689\) −28.3790 25.7172i −1.08115 0.979748i
\(690\) 31.5036 + 31.5427i 1.19932 + 1.20081i
\(691\) −5.79082 −0.220293 −0.110147 0.993915i \(-0.535132\pi\)
−0.110147 + 0.993915i \(0.535132\pi\)
\(692\) −7.83002 27.9748i −0.297653 1.06344i
\(693\) 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
\(698\) 8.84103 + 2.31638i 0.334638 + 0.0876762i
\(699\) −8.72693 −0.330083
\(700\) 1.63600 + 1.64006i 0.0618350 + 0.0619886i
\(701\) 28.4829 1.07578 0.537892 0.843014i \(-0.319221\pi\)
0.537892 + 0.843014i \(0.319221\pi\)
\(702\) −3.73775 5.72597i −0.141072 0.216113i
\(703\) 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
\(708\) 4.68262 + 16.7299i 0.175984 + 0.628749i
\(709\) 9.26359 0.347902 0.173951 0.984754i \(-0.444347\pi\)
0.173951 + 0.984754i \(0.444347\pi\)
\(710\) 1.89065 1.88830i 0.0709548 0.0708668i
\(711\) 22.8181i 0.855747i
\(712\) 17.0067 + 16.4490i 0.637352 + 0.616452i
\(713\) −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
\(718\) 8.97661 34.2615i 0.335004 1.27863i
\(719\) 41.2932 1.53998 0.769988 0.638059i \(-0.220262\pi\)
0.769988 + 0.638059i \(0.220262\pi\)
\(720\) −0.505928 31.5244i −0.0188548 1.17484i
\(721\) 1.00925i 0.0375864i
\(722\) −4.60309 1.20602i −0.171309 0.0448836i
\(723\) 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 \(0.00300927\pi\)
0.00945375 + 0.999955i \(0.496991\pi\)
\(728\) −2.35729 + 0.155413i −0.0873669 + 0.00575999i
\(729\) 35.4782i 1.31401i
\(730\) −0.0110677 + 17.8386i −0.000409634 + 0.660236i
\(731\) 25.5271i 0.944154i
\(732\) −18.1113 + 5.06925i −0.669411 + 0.187365i
\(733\) −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
\(738\) 5.16590 + 1.35348i 0.190159 + 0.0498224i
\(739\) 6.00692i 0.220968i −0.993878 0.110484i \(-0.964760\pi\)
0.993878 0.110484i \(-0.0352401\pi\)
\(740\) −11.1230 2.92165i −0.408891 0.107402i
\(741\) −26.9857 24.4546i −0.991346 0.898363i
\(742\) 3.36621 + 0.881958i 0.123577 + 0.0323777i
\(743\) 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
\(748\) −80.0134 + 22.3953i −2.92558 + 0.818855i
\(749\) 1.74475 0.0637516
\(750\) 35.2367 19.7389i 1.28666 0.720762i
\(751\) 21.7044i 0.792004i −0.918250 0.396002i \(-0.870397\pi\)
0.918250 0.396002i \(-0.129603\pi\)
\(752\) 16.1767 + 3.95142i 0.589902 + 0.144094i
\(753\) −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 \(0.104226\pi\)
\(758\) −2.82075 + 10.7661i −0.102454 + 0.391042i
\(759\) 77.5804i 2.81599i
\(760\) −6.72567 24.0868i −0.243966 0.873721i
\(761\) 28.0417i 1.01651i 0.861206 + 0.508256i \(0.169709\pi\)
−0.861206 + 0.508256i \(0.830291\pi\)
\(762\) 9.43576 + 2.47220i 0.341822 + 0.0895583i
\(763\) 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
\(768\) 12.3217 + 38.9689i 0.444622 + 1.40617i
\(769\) 11.2528 0.405786 0.202893 0.979201i \(-0.434966\pi\)
0.202893 + 0.979201i \(0.434966\pi\)
\(770\) 0.00250116 4.03130i 9.01355e−5 0.145278i
\(771\) 63.1067i 2.27273i
\(772\) −3.96299 + 1.10922i −0.142631 + 0.0399217i
\(773\) −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