Properties

Label 390.2.s.c.77.4
Level $390$
Weight $2$
Character 390.77
Analytic conductor $3.114$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 390.s (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.11416567883\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 77.4
Character \(\chi\) \(=\) 390.77
Dual form 390.2.s.c.233.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.707107 - 0.707107i) q^{2} +(0.805823 + 1.53318i) q^{3} +1.00000i q^{4} +(-1.53706 + 1.62402i) q^{5} +(0.514321 - 1.65393i) q^{6} +(-0.677204 + 0.677204i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-1.70130 + 2.47095i) q^{9} +O(q^{10})\) \(q+(-0.707107 - 0.707107i) q^{2} +(0.805823 + 1.53318i) q^{3} +1.00000i q^{4} +(-1.53706 + 1.62402i) q^{5} +(0.514321 - 1.65393i) q^{6} +(-0.677204 + 0.677204i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-1.70130 + 2.47095i) q^{9} +(2.23522 - 0.0614950i) q^{10} -2.37516 q^{11} +(-1.53318 + 0.805823i) q^{12} +(0.799399 - 3.51582i) q^{13} +0.957712 q^{14} +(-3.72852 - 1.04791i) q^{15} -1.00000 q^{16} +(-5.31930 + 5.31930i) q^{17} +(2.95022 - 0.544224i) q^{18} +2.08922 q^{19} +(-1.62402 - 1.53706i) q^{20} +(-1.58398 - 0.492571i) q^{21} +(1.67949 + 1.67949i) q^{22} +(-1.90576 - 1.90576i) q^{23} +(1.65393 + 0.514321i) q^{24} +(-0.274910 - 4.99244i) q^{25} +(-3.05132 + 1.92080i) q^{26} +(-5.15936 - 0.617257i) q^{27} +(-0.677204 - 0.677204i) q^{28} -1.89961 q^{29} +(1.89548 + 3.37745i) q^{30} +8.49906i q^{31} +(0.707107 + 0.707107i) q^{32} +(-1.91396 - 3.64155i) q^{33} +7.52262 q^{34} +(-0.0588945 - 2.14070i) q^{35} +(-2.47095 - 1.70130i) q^{36} +(-2.64183 + 2.64183i) q^{37} +(-1.47730 - 1.47730i) q^{38} +(6.03456 - 1.60750i) q^{39} +(0.0614950 + 2.23522i) q^{40} +8.75503 q^{41} +(0.771746 + 1.46835i) q^{42} +(0.132445 - 0.132445i) q^{43} -2.37516i q^{44} +(-1.39788 - 6.56094i) q^{45} +2.69516i q^{46} +(-2.08023 - 2.08023i) q^{47} +(-0.805823 - 1.53318i) q^{48} +6.08279i q^{49} +(-3.33580 + 3.72458i) q^{50} +(-12.4419 - 3.86904i) q^{51} +(3.51582 + 0.799399i) q^{52} +(5.82795 + 5.82795i) q^{53} +(3.21175 + 4.08468i) q^{54} +(3.65076 - 3.85732i) q^{55} +0.957712i q^{56} +(1.68354 + 3.20315i) q^{57} +(1.34322 + 1.34322i) q^{58} +11.2474i q^{59} +(1.04791 - 3.72852i) q^{60} +9.29389 q^{61} +(6.00974 - 6.00974i) q^{62} +(-0.521209 - 2.82546i) q^{63} -1.00000i q^{64} +(4.48105 + 6.70225i) q^{65} +(-1.22160 + 3.92834i) q^{66} +(-8.47780 + 8.47780i) q^{67} +(-5.31930 - 5.31930i) q^{68} +(1.38618 - 4.45759i) q^{69} +(-1.47206 + 1.55535i) q^{70} +12.4970 q^{71} +(0.544224 + 2.95022i) q^{72} +(-3.69590 - 3.69590i) q^{73} +3.73612 q^{74} +(7.43279 - 4.44451i) q^{75} +2.08922i q^{76} +(1.60847 - 1.60847i) q^{77} +(-5.40375 - 3.13041i) q^{78} -1.03917i q^{79} +(1.53706 - 1.62402i) q^{80} +(-3.21116 - 8.40764i) q^{81} +(-6.19074 - 6.19074i) q^{82} +(0.475749 - 0.475749i) q^{83} +(0.492571 - 1.58398i) q^{84} +(-0.462604 - 16.8147i) q^{85} -0.187305 q^{86} +(-1.53075 - 2.91244i) q^{87} +(-1.67949 + 1.67949i) q^{88} -8.15992i q^{89} +(-3.65083 + 5.62774i) q^{90} +(1.83957 + 2.92228i) q^{91} +(1.90576 - 1.90576i) q^{92} +(-13.0306 + 6.84873i) q^{93} +2.94189i q^{94} +(-3.21124 + 3.39294i) q^{95} +(-0.514321 + 1.65393i) q^{96} +(1.11610 - 1.11610i) q^{97} +(4.30118 - 4.30118i) q^{98} +(4.04086 - 5.86890i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24 q + 4 q^{3} + 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 24 q + 4 q^{3} + 12 q^{9} + 4 q^{10} - 8 q^{12} - 8 q^{13} + 16 q^{14} - 24 q^{16} - 52 q^{17} + 16 q^{22} + 16 q^{23} + 16 q^{25} - 56 q^{27} + 80 q^{29} + 8 q^{30} - 20 q^{35} + 16 q^{38} + 32 q^{39} - 48 q^{42} + 28 q^{43} - 4 q^{48} - 20 q^{51} - 8 q^{52} - 72 q^{53} + 24 q^{55} - 64 q^{61} + 32 q^{62} + 12 q^{65} + 8 q^{66} - 52 q^{68} + 16 q^{69} + 120 q^{74} + 24 q^{75} - 32 q^{77} - 64 q^{78} + 12 q^{81} + 32 q^{82} - 16 q^{88} - 44 q^{90} + 64 q^{91} - 16 q^{92} - 96 q^{95}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).

\(n\) \(131\) \(157\) \(301\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{4}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.707107 0.707107i −0.500000 0.500000i
\(3\) 0.805823 + 1.53318i 0.465242 + 0.885184i
\(4\) 1.00000i 0.500000i
\(5\) −1.53706 + 1.62402i −0.687393 + 0.726286i
\(6\) 0.514321 1.65393i 0.209971 0.675213i
\(7\) −0.677204 + 0.677204i −0.255959 + 0.255959i −0.823408 0.567449i \(-0.807930\pi\)
0.567449 + 0.823408i \(0.307930\pi\)
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) −1.70130 + 2.47095i −0.567100 + 0.823649i
\(10\) 2.23522 0.0614950i 0.706839 0.0194464i
\(11\) −2.37516 −0.716138 −0.358069 0.933695i \(-0.616565\pi\)
−0.358069 + 0.933695i \(0.616565\pi\)
\(12\) −1.53318 + 0.805823i −0.442592 + 0.232621i
\(13\) 0.799399 3.51582i 0.221713 0.975112i
\(14\) 0.957712 0.255959
\(15\) −3.72852 1.04791i −0.962700 0.270570i
\(16\) −1.00000 −0.250000
\(17\) −5.31930 + 5.31930i −1.29012 + 1.29012i −0.355407 + 0.934712i \(0.615658\pi\)
−0.934712 + 0.355407i \(0.884342\pi\)
\(18\) 2.95022 0.544224i 0.695374 0.128275i
\(19\) 2.08922 0.479299 0.239649 0.970859i \(-0.422967\pi\)
0.239649 + 0.970859i \(0.422967\pi\)
\(20\) −1.62402 1.53706i −0.363143 0.343696i
\(21\) −1.58398 0.492571i −0.345654 0.107488i
\(22\) 1.67949 + 1.67949i 0.358069 + 0.358069i
\(23\) −1.90576 1.90576i −0.397379 0.397379i 0.479929 0.877308i \(-0.340663\pi\)
−0.877308 + 0.479929i \(0.840663\pi\)
\(24\) 1.65393 + 0.514321i 0.337606 + 0.104985i
\(25\) −0.274910 4.99244i −0.0549820 0.998487i
\(26\) −3.05132 + 1.92080i −0.598413 + 0.376699i
\(27\) −5.15936 0.617257i −0.992919 0.118791i
\(28\) −0.677204 0.677204i −0.127980 0.127980i
\(29\) −1.89961 −0.352748 −0.176374 0.984323i \(-0.556437\pi\)
−0.176374 + 0.984323i \(0.556437\pi\)
\(30\) 1.89548 + 3.37745i 0.346065 + 0.616635i
\(31\) 8.49906i 1.52648i 0.646118 + 0.763238i \(0.276392\pi\)
−0.646118 + 0.763238i \(0.723608\pi\)
\(32\) 0.707107 + 0.707107i 0.125000 + 0.125000i
\(33\) −1.91396 3.64155i −0.333177 0.633913i
\(34\) 7.52262 1.29012
\(35\) −0.0588945 2.14070i −0.00995499 0.361844i
\(36\) −2.47095 1.70130i −0.411825 0.283550i
\(37\) −2.64183 + 2.64183i −0.434315 + 0.434315i −0.890093 0.455779i \(-0.849361\pi\)
0.455779 + 0.890093i \(0.349361\pi\)
\(38\) −1.47730 1.47730i −0.239649 0.239649i
\(39\) 6.03456 1.60750i 0.966303 0.257406i
\(40\) 0.0614950 + 2.23522i 0.00972322 + 0.353420i
\(41\) 8.75503 1.36731 0.683653 0.729807i \(-0.260390\pi\)
0.683653 + 0.729807i \(0.260390\pi\)
\(42\) 0.771746 + 1.46835i 0.119083 + 0.226571i
\(43\) 0.132445 0.132445i 0.0201977 0.0201977i −0.696936 0.717133i \(-0.745454\pi\)
0.717133 + 0.696936i \(0.245454\pi\)
\(44\) 2.37516i 0.358069i
\(45\) −1.39788 6.56094i −0.208384 0.978047i
\(46\) 2.69516i 0.397379i
\(47\) −2.08023 2.08023i −0.303433 0.303433i 0.538922 0.842356i \(-0.318832\pi\)
−0.842356 + 0.538922i \(0.818832\pi\)
\(48\) −0.805823 1.53318i −0.116311 0.221296i
\(49\) 6.08279i 0.868970i
\(50\) −3.33580 + 3.72458i −0.471753 + 0.526735i
\(51\) −12.4419 3.86904i −1.74221 0.541774i
\(52\) 3.51582 + 0.799399i 0.487556 + 0.110857i
\(53\) 5.82795 + 5.82795i 0.800530 + 0.800530i 0.983178 0.182648i \(-0.0584669\pi\)
−0.182648 + 0.983178i \(0.558467\pi\)
\(54\) 3.21175 + 4.08468i 0.437064 + 0.555855i
\(55\) 3.65076 3.85732i 0.492268 0.520121i
\(56\) 0.957712i 0.127980i
\(57\) 1.68354 + 3.20315i 0.222990 + 0.424268i
\(58\) 1.34322 + 1.34322i 0.176374 + 0.176374i
\(59\) 11.2474i 1.46429i 0.681150 + 0.732144i \(0.261480\pi\)
−0.681150 + 0.732144i \(0.738520\pi\)
\(60\) 1.04791 3.72852i 0.135285 0.481350i
\(61\) 9.29389 1.18996 0.594980 0.803740i \(-0.297160\pi\)
0.594980 + 0.803740i \(0.297160\pi\)
\(62\) 6.00974 6.00974i 0.763238 0.763238i
\(63\) −0.521209 2.82546i −0.0656662 0.355975i
\(64\) 1.00000i 0.125000i
\(65\) 4.48105 + 6.70225i 0.555806 + 0.831312i
\(66\) −1.22160 + 3.92834i −0.150368 + 0.483545i
\(67\) −8.47780 + 8.47780i −1.03573 + 1.03573i −0.0363899 + 0.999338i \(0.511586\pi\)
−0.999338 + 0.0363899i \(0.988414\pi\)
\(68\) −5.31930 5.31930i −0.645059 0.645059i
\(69\) 1.38618 4.45759i 0.166876 0.536631i
\(70\) −1.47206 + 1.55535i −0.175945 + 0.185900i
\(71\) 12.4970 1.48312 0.741560 0.670887i \(-0.234086\pi\)
0.741560 + 0.670887i \(0.234086\pi\)
\(72\) 0.544224 + 2.95022i 0.0641374 + 0.347687i
\(73\) −3.69590 3.69590i −0.432573 0.432573i 0.456930 0.889503i \(-0.348949\pi\)
−0.889503 + 0.456930i \(0.848949\pi\)
\(74\) 3.73612 0.434315
\(75\) 7.43279 4.44451i 0.858265 0.513207i
\(76\) 2.08922i 0.239649i
\(77\) 1.60847 1.60847i 0.183302 0.183302i
\(78\) −5.40375 3.13041i −0.611855 0.354449i
\(79\) 1.03917i 0.116916i −0.998290 0.0584581i \(-0.981382\pi\)
0.998290 0.0584581i \(-0.0186184\pi\)
\(80\) 1.53706 1.62402i 0.171848 0.181571i
\(81\) −3.21116 8.40764i −0.356796 0.934182i
\(82\) −6.19074 6.19074i −0.683653 0.683653i
\(83\) 0.475749 0.475749i 0.0522202 0.0522202i −0.680514 0.732735i \(-0.738244\pi\)
0.732735 + 0.680514i \(0.238244\pi\)
\(84\) 0.492571 1.58398i 0.0537439 0.172827i
\(85\) −0.462604 16.8147i −0.0501764 1.82381i
\(86\) −0.187305 −0.0201977
\(87\) −1.53075 2.91244i −0.164113 0.312247i
\(88\) −1.67949 + 1.67949i −0.179034 + 0.179034i
\(89\) 8.15992i 0.864950i −0.901646 0.432475i \(-0.857640\pi\)
0.901646 0.432475i \(-0.142360\pi\)
\(90\) −3.65083 + 5.62774i −0.384831 + 0.593216i
\(91\) 1.83957 + 2.92228i 0.192839 + 0.306338i
\(92\) 1.90576 1.90576i 0.198689 0.198689i
\(93\) −13.0306 + 6.84873i −1.35121 + 0.710181i
\(94\) 2.94189i 0.303433i
\(95\) −3.21124 + 3.39294i −0.329467 + 0.348108i
\(96\) −0.514321 + 1.65393i −0.0524927 + 0.168803i
\(97\) 1.11610 1.11610i 0.113323 0.113323i −0.648172 0.761494i \(-0.724466\pi\)
0.761494 + 0.648172i \(0.224466\pi\)
\(98\) 4.30118 4.30118i 0.434485 0.434485i
\(99\) 4.04086 5.86890i 0.406122 0.589846i
\(100\) 4.99244 0.274910i 0.499244 0.0274910i
\(101\) 17.6200i 1.75325i −0.481171 0.876627i \(-0.659788\pi\)
0.481171 0.876627i \(-0.340212\pi\)
\(102\) 6.06190 + 11.5336i 0.600217 + 1.14199i
\(103\) −1.63440 + 1.63440i −0.161042 + 0.161042i −0.783028 0.621986i \(-0.786326\pi\)
0.621986 + 0.783028i \(0.286326\pi\)
\(104\) −1.92080 3.05132i −0.188350 0.299206i
\(105\) 3.23462 1.81532i 0.315667 0.177157i
\(106\) 8.24196i 0.800530i
\(107\) 4.52629 4.52629i 0.437573 0.437573i −0.453622 0.891194i \(-0.649868\pi\)
0.891194 + 0.453622i \(0.149868\pi\)
\(108\) 0.617257 5.15936i 0.0593955 0.496460i
\(109\) 17.1190 1.63970 0.819851 0.572577i \(-0.194056\pi\)
0.819851 + 0.572577i \(0.194056\pi\)
\(110\) −5.30901 + 0.146061i −0.506194 + 0.0139263i
\(111\) −6.17926 1.92156i −0.586510 0.182387i
\(112\) 0.677204 0.677204i 0.0639898 0.0639898i
\(113\) −1.12282 1.12282i −0.105626 0.105626i 0.652319 0.757945i \(-0.273796\pi\)
−0.757945 + 0.652319i \(0.773796\pi\)
\(114\) 1.07453 3.45541i 0.100639 0.323629i
\(115\) 6.02427 0.165739i 0.561766 0.0154552i
\(116\) 1.89961i 0.176374i
\(117\) 7.32738 + 7.95673i 0.677416 + 0.735600i
\(118\) 7.95312 7.95312i 0.732144 0.732144i
\(119\) 7.20450i 0.660436i
\(120\) −3.37745 + 1.89548i −0.308318 + 0.173033i
\(121\) −5.35861 −0.487147
\(122\) −6.57177 6.57177i −0.594980 0.594980i
\(123\) 7.05501 + 13.4231i 0.636129 + 1.21032i
\(124\) −8.49906 −0.763238
\(125\) 8.53039 + 7.22720i 0.762981 + 0.646420i
\(126\) −1.62935 + 2.36646i −0.145154 + 0.210821i
\(127\) −7.66011 7.66011i −0.679725 0.679725i 0.280213 0.959938i \(-0.409595\pi\)
−0.959938 + 0.280213i \(0.909595\pi\)
\(128\) −0.707107 + 0.707107i −0.0625000 + 0.0625000i
\(129\) 0.309789 + 0.0963351i 0.0272754 + 0.00848183i
\(130\) 1.57063 7.90779i 0.137753 0.693559i
\(131\) 21.9129i 1.91454i 0.289200 + 0.957269i \(0.406611\pi\)
−0.289200 + 0.957269i \(0.593389\pi\)
\(132\) 3.64155 1.91396i 0.316957 0.166589i
\(133\) −1.41483 + 1.41483i −0.122681 + 0.122681i
\(134\) 11.9894 1.03573
\(135\) 8.93267 7.43017i 0.768802 0.639487i
\(136\) 7.52262i 0.645059i
\(137\) −5.92464 5.92464i −0.506176 0.506176i 0.407174 0.913351i \(-0.366514\pi\)
−0.913351 + 0.407174i \(0.866514\pi\)
\(138\) −4.13217 + 2.17182i −0.351753 + 0.184877i
\(139\) 13.3375i 1.13127i 0.824655 + 0.565636i \(0.191369\pi\)
−0.824655 + 0.565636i \(0.808631\pi\)
\(140\) 2.14070 0.0588945i 0.180922 0.00497749i
\(141\) 1.51308 4.86568i 0.127424 0.409764i
\(142\) −8.83670 8.83670i −0.741560 0.741560i
\(143\) −1.89870 + 8.35063i −0.158777 + 0.698314i
\(144\) 1.70130 2.47095i 0.141775 0.205912i
\(145\) 2.91980 3.08501i 0.242477 0.256196i
\(146\) 5.22680i 0.432573i
\(147\) −9.32603 + 4.90165i −0.769198 + 0.404281i
\(148\) −2.64183 2.64183i −0.217157 0.217157i
\(149\) 5.50449i 0.450945i −0.974250 0.225473i \(-0.927607\pi\)
0.974250 0.225473i \(-0.0723926\pi\)
\(150\) −8.39852 2.11303i −0.685736 0.172529i
\(151\) 13.8469i 1.12684i 0.826169 + 0.563422i \(0.190516\pi\)
−0.826169 + 0.563422i \(0.809484\pi\)
\(152\) 1.47730 1.47730i 0.119825 0.119825i
\(153\) −4.09399 22.1934i −0.330979 1.79423i
\(154\) −2.27472 −0.183302
\(155\) −13.8027 13.0635i −1.10866 1.04929i
\(156\) 1.60750 + 6.03456i 0.128703 + 0.483152i
\(157\) 6.58993 + 6.58993i 0.525934 + 0.525934i 0.919357 0.393424i \(-0.128709\pi\)
−0.393424 + 0.919357i \(0.628709\pi\)
\(158\) −0.734807 + 0.734807i −0.0584581 + 0.0584581i
\(159\) −4.23902 + 13.6316i −0.336176 + 1.08106i
\(160\) −2.23522 + 0.0614950i −0.176710 + 0.00486161i
\(161\) 2.58118 0.203426
\(162\) −3.67447 + 8.21574i −0.288693 + 0.645489i
\(163\) 6.28194 + 6.28194i 0.492039 + 0.492039i 0.908948 0.416909i \(-0.136887\pi\)
−0.416909 + 0.908948i \(0.636887\pi\)
\(164\) 8.75503i 0.683653i
\(165\) 8.85584 + 2.48896i 0.689426 + 0.193766i
\(166\) −0.672810 −0.0522202
\(167\) −2.35390 2.35390i −0.182150 0.182150i 0.610142 0.792292i \(-0.291112\pi\)
−0.792292 + 0.610142i \(0.791112\pi\)
\(168\) −1.46835 + 0.771746i −0.113285 + 0.0595415i
\(169\) −11.7219 5.62108i −0.901686 0.432391i
\(170\) −11.5627 + 12.2169i −0.886818 + 0.936995i
\(171\) −3.55438 + 5.16234i −0.271810 + 0.394774i
\(172\) 0.132445 + 0.132445i 0.0100988 + 0.0100988i
\(173\) 13.8181 + 13.8181i 1.05057 + 1.05057i 0.998651 + 0.0519185i \(0.0165336\pi\)
0.0519185 + 0.998651i \(0.483466\pi\)
\(174\) −0.977008 + 3.14181i −0.0740668 + 0.238180i
\(175\) 3.56707 + 3.19473i 0.269645 + 0.241499i
\(176\) 2.37516 0.179034
\(177\) −17.2443 + 9.06342i −1.29616 + 0.681248i
\(178\) −5.76993 + 5.76993i −0.432475 + 0.432475i
\(179\) −9.07466 −0.678272 −0.339136 0.940737i \(-0.610135\pi\)
−0.339136 + 0.940737i \(0.610135\pi\)
\(180\) 6.56094 1.39788i 0.489024 0.104192i
\(181\) 1.89872 0.141131 0.0705653 0.997507i \(-0.477520\pi\)
0.0705653 + 0.997507i \(0.477520\pi\)
\(182\) 0.765594 3.36714i 0.0567496 0.249589i
\(183\) 7.48923 + 14.2492i 0.553620 + 1.05333i
\(184\) −2.69516 −0.198689
\(185\) −0.229753 8.35105i −0.0168917 0.613981i
\(186\) 14.0568 + 4.37125i 1.03070 + 0.320515i
\(187\) 12.6342 12.6342i 0.923903 0.923903i
\(188\) 2.08023 2.08023i 0.151717 0.151717i
\(189\) 3.91195 3.07593i 0.284552 0.223741i
\(190\) 4.66986 0.128476i 0.338787 0.00932066i
\(191\) 14.2651i 1.03219i 0.856532 + 0.516094i \(0.172614\pi\)
−0.856532 + 0.516094i \(0.827386\pi\)
\(192\) 1.53318 0.805823i 0.110648 0.0581553i
\(193\) −9.53551 9.53551i −0.686381 0.686381i 0.275049 0.961430i \(-0.411306\pi\)
−0.961430 + 0.275049i \(0.911306\pi\)
\(194\) −1.57840 −0.113323
\(195\) −6.66485 + 12.2711i −0.477280 + 0.878751i
\(196\) −6.08279 −0.434485
\(197\) −8.00501 8.00501i −0.570334 0.570334i 0.361888 0.932222i \(-0.382132\pi\)
−0.932222 + 0.361888i \(0.882132\pi\)
\(198\) −7.00725 + 1.29262i −0.497984 + 0.0918624i
\(199\) 10.2380i 0.725753i 0.931837 + 0.362877i \(0.118205\pi\)
−0.931837 + 0.362877i \(0.881795\pi\)
\(200\) −3.72458 3.33580i −0.263367 0.235876i
\(201\) −19.8296 6.16641i −1.39867 0.434945i
\(202\) −12.4592 + 12.4592i −0.876627 + 0.876627i
\(203\) 1.28642 1.28642i 0.0902891 0.0902891i
\(204\) 3.86904 12.4419i 0.270887 0.871105i
\(205\) −13.4570 + 14.2184i −0.939877 + 0.993055i
\(206\) 2.31139 0.161042
\(207\) 7.95131 1.46677i 0.552654 0.101947i
\(208\) −0.799399 + 3.51582i −0.0554283 + 0.243778i
\(209\) −4.96222 −0.343244
\(210\) −3.57085 1.00360i −0.246412 0.0692549i
\(211\) −3.79498 −0.261257 −0.130629 0.991431i \(-0.541700\pi\)
−0.130629 + 0.991431i \(0.541700\pi\)
\(212\) −5.82795 + 5.82795i −0.400265 + 0.400265i
\(213\) 10.0704 + 19.1602i 0.690010 + 1.31283i
\(214\) −6.40114 −0.437573
\(215\) 0.0115183 + 0.418669i 0.000785545 + 0.0285530i
\(216\) −4.08468 + 3.21175i −0.277928 + 0.218532i
\(217\) −5.75560 5.75560i −0.390716 0.390716i
\(218\) −12.1050 12.1050i −0.819851 0.819851i
\(219\) 2.68825 8.64474i 0.181655 0.584157i
\(220\) 3.85732 + 3.65076i 0.260060 + 0.246134i
\(221\) 14.4494 + 22.9539i 0.971974 + 1.54405i
\(222\) 3.01065 + 5.72815i 0.202061 + 0.384448i
\(223\) −0.0933672 0.0933672i −0.00625233 0.00625233i 0.703974 0.710226i \(-0.251407\pi\)
−0.710226 + 0.703974i \(0.751407\pi\)
\(224\) −0.957712 −0.0639898
\(225\) 12.8038 + 7.81434i 0.853584 + 0.520956i
\(226\) 1.58790i 0.105626i
\(227\) 10.9359 + 10.9359i 0.725841 + 0.725841i 0.969788 0.243947i \(-0.0784424\pi\)
−0.243947 + 0.969788i \(0.578442\pi\)
\(228\) −3.20315 + 1.68354i −0.212134 + 0.111495i
\(229\) 3.93272 0.259881 0.129941 0.991522i \(-0.458521\pi\)
0.129941 + 0.991522i \(0.458521\pi\)
\(230\) −4.37700 4.14261i −0.288611 0.273155i
\(231\) 3.76222 + 1.16994i 0.247536 + 0.0769761i
\(232\) −1.34322 + 1.34322i −0.0881870 + 0.0881870i
\(233\) −2.63212 2.63212i −0.172436 0.172436i 0.615613 0.788049i \(-0.288908\pi\)
−0.788049 + 0.615613i \(0.788908\pi\)
\(234\) 0.445016 10.8075i 0.0290916 0.706508i
\(235\) 6.57579 0.180912i 0.428957 0.0118014i
\(236\) −11.2474 −0.732144
\(237\) 1.59324 0.837390i 0.103492 0.0543943i
\(238\) −5.09435 + 5.09435i −0.330218 + 0.330218i
\(239\) 1.55998i 0.100907i 0.998726 + 0.0504535i \(0.0160667\pi\)
−0.998726 + 0.0504535i \(0.983933\pi\)
\(240\) 3.72852 + 1.04791i 0.240675 + 0.0676425i
\(241\) 7.65343i 0.493001i −0.969143 0.246501i \(-0.920719\pi\)
0.969143 0.246501i \(-0.0792807\pi\)
\(242\) 3.78911 + 3.78911i 0.243573 + 0.243573i
\(243\) 10.3028 11.6984i 0.660926 0.750451i
\(244\) 9.29389i 0.594980i
\(245\) −9.87860 9.34959i −0.631120 0.597324i
\(246\) 4.50290 14.4802i 0.287094 0.923223i
\(247\) 1.67012 7.34530i 0.106267 0.467370i
\(248\) 6.00974 + 6.00974i 0.381619 + 0.381619i
\(249\) 1.11278 + 0.346041i 0.0705195 + 0.0219294i
\(250\) −0.921495 11.1423i −0.0582805 0.704701i
\(251\) 3.75378i 0.236937i −0.992958 0.118468i \(-0.962202\pi\)
0.992958 0.118468i \(-0.0377984\pi\)
\(252\) 2.82546 0.521209i 0.177987 0.0328331i
\(253\) 4.52649 + 4.52649i 0.284578 + 0.284578i
\(254\) 10.8330i 0.679725i
\(255\) 25.4073 14.2589i 1.59107 0.892930i
\(256\) 1.00000 0.0625000
\(257\) 3.00645 3.00645i 0.187537 0.187537i −0.607093 0.794631i \(-0.707665\pi\)
0.794631 + 0.607093i \(0.207665\pi\)
\(258\) −0.150935 0.287173i −0.00939680 0.0178786i
\(259\) 3.57812i 0.222334i
\(260\) −6.70225 + 4.48105i −0.415656 + 0.277903i
\(261\) 3.23180 4.69383i 0.200043 0.290541i
\(262\) 15.4947 15.4947i 0.957269 0.957269i
\(263\) 11.5352 + 11.5352i 0.711294 + 0.711294i 0.966806 0.255512i \(-0.0822440\pi\)
−0.255512 + 0.966806i \(0.582244\pi\)
\(264\) −3.92834 1.22160i −0.241773 0.0751840i
\(265\) −18.4226 + 0.506840i −1.13169 + 0.0311349i
\(266\) 2.00087 0.122681
\(267\) 12.5106 6.57545i 0.765639 0.402411i
\(268\) −8.47780 8.47780i −0.517864 0.517864i
\(269\) −15.9555 −0.972825 −0.486412 0.873729i \(-0.661695\pi\)
−0.486412 + 0.873729i \(0.661695\pi\)
\(270\) −11.5703 1.06243i −0.704144 0.0646575i
\(271\) 27.1560i 1.64961i −0.565420 0.824803i \(-0.691286\pi\)
0.565420 0.824803i \(-0.308714\pi\)
\(272\) 5.31930 5.31930i 0.322530 0.322530i
\(273\) −2.99803 + 5.17524i −0.181449 + 0.313220i
\(274\) 8.37871i 0.506176i
\(275\) 0.652956 + 11.8578i 0.0393747 + 0.715055i
\(276\) 4.45759 + 1.38618i 0.268315 + 0.0834379i
\(277\) 10.6914 + 10.6914i 0.642384 + 0.642384i 0.951141 0.308757i \(-0.0999129\pi\)
−0.308757 + 0.951141i \(0.599913\pi\)
\(278\) 9.43104 9.43104i 0.565636 0.565636i
\(279\) −21.0007 14.4594i −1.25728 0.865664i
\(280\) −1.55535 1.47206i −0.0929498 0.0879723i
\(281\) −17.6198 −1.05111 −0.525556 0.850759i \(-0.676143\pi\)
−0.525556 + 0.850759i \(0.676143\pi\)
\(282\) −4.51046 + 2.37065i −0.268594 + 0.141170i
\(283\) −17.2344 + 17.2344i −1.02448 + 1.02448i −0.0247857 + 0.999693i \(0.507890\pi\)
−0.999693 + 0.0247857i \(0.992110\pi\)
\(284\) 12.4970i 0.741560i
\(285\) −7.78969 2.18932i −0.461421 0.129684i
\(286\) 7.24737 4.56220i 0.428546 0.269769i
\(287\) −5.92895 + 5.92895i −0.349975 + 0.349975i
\(288\) −2.95022 + 0.544224i −0.173844 + 0.0320687i
\(289\) 39.5898i 2.32881i
\(290\) −4.24604 + 0.116816i −0.249336 + 0.00685969i
\(291\) 2.61056 + 0.811805i 0.153034 + 0.0475888i
\(292\) 3.69590 3.69590i 0.216286 0.216286i
\(293\) 8.39295 8.39295i 0.490321 0.490321i −0.418086 0.908407i \(-0.637299\pi\)
0.908407 + 0.418086i \(0.137299\pi\)
\(294\) 10.0605 + 3.12851i 0.586740 + 0.182458i
\(295\) −18.2661 17.2879i −1.06349 1.00654i
\(296\) 3.73612i 0.217157i
\(297\) 12.2543 + 1.46608i 0.711067 + 0.0850708i
\(298\) −3.89226 + 3.89226i −0.225473 + 0.225473i
\(299\) −8.22377 + 5.17685i −0.475593 + 0.299385i
\(300\) 4.44451 + 7.43279i 0.256604 + 0.429132i
\(301\) 0.179384i 0.0103395i
\(302\) 9.79124 9.79124i 0.563422 0.563422i
\(303\) 27.0147 14.1986i 1.55195 0.815687i
\(304\) −2.08922 −0.119825
\(305\) −14.2852 + 15.0935i −0.817970 + 0.864251i
\(306\) −12.7982 + 18.5880i −0.731626 + 1.06261i
\(307\) −15.1124 + 15.1124i −0.862512 + 0.862512i −0.991629 0.129118i \(-0.958786\pi\)
0.129118 + 0.991629i \(0.458786\pi\)
\(308\) 1.60847 + 1.60847i 0.0916510 + 0.0916510i
\(309\) −3.82286 1.18879i −0.217475 0.0676282i
\(310\) 0.522650 + 18.9973i 0.0296845 + 1.07897i
\(311\) 32.5293i 1.84457i −0.386513 0.922284i \(-0.626321\pi\)
0.386513 0.922284i \(-0.373679\pi\)
\(312\) 3.13041 5.40375i 0.177224 0.305927i
\(313\) 5.87745 5.87745i 0.332213 0.332213i −0.521213 0.853426i \(-0.674520\pi\)
0.853426 + 0.521213i \(0.174520\pi\)
\(314\) 9.31957i 0.525934i
\(315\) 5.38975 + 3.49644i 0.303678 + 0.197002i
\(316\) 1.03917 0.0584581
\(317\) −16.6705 16.6705i −0.936311 0.936311i 0.0617787 0.998090i \(-0.480323\pi\)
−0.998090 + 0.0617787i \(0.980323\pi\)
\(318\) 12.6364 6.64156i 0.708616 0.372440i
\(319\) 4.51187 0.252616
\(320\) 1.62402 + 1.53706i 0.0907857 + 0.0859241i
\(321\) 10.5870 + 3.29224i 0.590909 + 0.183755i
\(322\) −1.82517 1.82517i −0.101713 0.101713i
\(323\) −11.1132 + 11.1132i −0.618353 + 0.618353i
\(324\) 8.40764 3.21116i 0.467091 0.178398i
\(325\) −17.7723 3.02442i −0.985827 0.167764i
\(326\) 8.88400i 0.492039i
\(327\) 13.7949 + 26.2465i 0.762858 + 1.45144i
\(328\) 6.19074 6.19074i 0.341827 0.341827i
\(329\) 2.81749 0.155333
\(330\) −4.50206 8.02199i −0.247830 0.441596i
\(331\) 13.6672i 0.751219i −0.926778 0.375610i \(-0.877433\pi\)
0.926778 0.375610i \(-0.122567\pi\)
\(332\) 0.475749 + 0.475749i 0.0261101 + 0.0261101i
\(333\) −2.03328 11.0224i −0.111423 0.604023i
\(334\) 3.32892i 0.182150i
\(335\) −0.737289 26.7990i −0.0402824 1.46419i
\(336\) 1.58398 + 0.492571i 0.0864135 + 0.0268720i
\(337\) 19.0461 + 19.0461i 1.03751 + 1.03751i 0.999269 + 0.0382377i \(0.0121744\pi\)
0.0382377 + 0.999269i \(0.487826\pi\)
\(338\) 4.31395 + 12.2634i 0.234648 + 0.667039i
\(339\) 0.816692 2.62628i 0.0443566 0.142640i
\(340\) 16.8147 0.462604i 0.911907 0.0250882i
\(341\) 20.1866i 1.09317i
\(342\) 6.16365 1.13700i 0.333292 0.0614819i
\(343\) −8.85972 8.85972i −0.478380 0.478380i
\(344\) 0.187305i 0.0100988i
\(345\) 5.10860 + 9.10275i 0.275038 + 0.490076i
\(346\) 19.5417i 1.05057i
\(347\) 15.6314 15.6314i 0.839135 0.839135i −0.149610 0.988745i \(-0.547802\pi\)
0.988745 + 0.149610i \(0.0478019\pi\)
\(348\) 2.91244 1.53075i 0.156123 0.0820566i
\(349\) 17.3180 0.927010 0.463505 0.886094i \(-0.346592\pi\)
0.463505 + 0.886094i \(0.346592\pi\)
\(350\) −0.263285 4.78131i −0.0140732 0.255572i
\(351\) −6.29455 + 17.6459i −0.335978 + 0.941870i
\(352\) −1.67949 1.67949i −0.0895172 0.0895172i
\(353\) 25.9079 25.9079i 1.37894 1.37894i 0.532525 0.846414i \(-0.321243\pi\)
0.846414 0.532525i \(-0.178757\pi\)
\(354\) 18.6024 + 5.78478i 0.988706 + 0.307458i
\(355\) −19.2086 + 20.2954i −1.01949 + 1.07717i
\(356\) 8.15992 0.432475
\(357\) 11.0458 5.80555i 0.584607 0.307262i
\(358\) 6.41675 + 6.41675i 0.339136 + 0.339136i
\(359\) 32.6510i 1.72326i 0.507540 + 0.861628i \(0.330555\pi\)
−0.507540 + 0.861628i \(0.669445\pi\)
\(360\) −5.62774 3.65083i −0.296608 0.192416i
\(361\) −14.6352 −0.770272
\(362\) −1.34260 1.34260i −0.0705653 0.0705653i
\(363\) −4.31809 8.21573i −0.226641 0.431214i
\(364\) −2.92228 + 1.83957i −0.153169 + 0.0964196i
\(365\) 11.6831 0.321422i 0.611519 0.0168240i
\(366\) 4.78004 15.3714i 0.249857 0.803477i
\(367\) −2.00117 2.00117i −0.104460 0.104460i 0.652945 0.757405i \(-0.273533\pi\)
−0.757405 + 0.652945i \(0.773533\pi\)
\(368\) 1.90576 + 1.90576i 0.0993447 + 0.0993447i
\(369\) −14.8949 + 21.6332i −0.775399 + 1.12618i
\(370\) −5.74262 + 6.06754i −0.298545 + 0.315437i
\(371\) −7.89342 −0.409806
\(372\) −6.84873 13.0306i −0.355090 0.675606i
\(373\) −12.1573 + 12.1573i −0.629480 + 0.629480i −0.947937 0.318457i \(-0.896835\pi\)
0.318457 + 0.947937i \(0.396835\pi\)
\(374\) −17.8674 −0.923903
\(375\) −4.20664 + 18.9025i −0.217230 + 0.976121i
\(376\) −2.94189 −0.151717
\(377\) −1.51854 + 6.67867i −0.0782090 + 0.343969i
\(378\) −4.94118 0.591154i −0.254147 0.0304057i
\(379\) −20.5970 −1.05800 −0.528999 0.848623i \(-0.677432\pi\)
−0.528999 + 0.848623i \(0.677432\pi\)
\(380\) −3.39294 3.21124i −0.174054 0.164733i
\(381\) 5.57166 17.9170i 0.285445 0.917918i
\(382\) 10.0870 10.0870i 0.516094 0.516094i
\(383\) 1.71164 1.71164i 0.0874607 0.0874607i −0.662023 0.749484i \(-0.730302\pi\)
0.749484 + 0.662023i \(0.230302\pi\)
\(384\) −1.65393 0.514321i −0.0844016 0.0262463i
\(385\) 0.139884 + 5.08450i 0.00712914 + 0.259130i
\(386\) 13.4852i 0.686381i
\(387\) 0.101936 + 0.552593i 0.00518170 + 0.0280899i
\(388\) 1.11610 + 1.11610i 0.0566613 + 0.0566613i
\(389\) 22.7607 1.15401 0.577007 0.816739i \(-0.304221\pi\)
0.577007 + 0.816739i \(0.304221\pi\)
\(390\) 13.3897 3.96422i 0.678016 0.200736i
\(391\) 20.2746 1.02533
\(392\) 4.30118 + 4.30118i 0.217242 + 0.217242i
\(393\) −33.5965 + 17.6579i −1.69472 + 0.890723i
\(394\) 11.3208i 0.570334i
\(395\) 1.68764 + 1.59727i 0.0849146 + 0.0803674i
\(396\) 5.86890 + 4.04086i 0.294923 + 0.203061i
\(397\) 19.2632 19.2632i 0.966794 0.966794i −0.0326724 0.999466i \(-0.510402\pi\)
0.999466 + 0.0326724i \(0.0104018\pi\)
\(398\) 7.23937 7.23937i 0.362877 0.362877i
\(399\) −3.30929 1.02909i −0.165672 0.0515188i
\(400\) 0.274910 + 4.99244i 0.0137455 + 0.249622i
\(401\) 22.1388 1.10556 0.552779 0.833328i \(-0.313568\pi\)
0.552779 + 0.833328i \(0.313568\pi\)
\(402\) 9.66134 + 18.3820i 0.481864 + 0.916809i
\(403\) 29.8811 + 6.79414i 1.48848 + 0.338440i
\(404\) 17.6200 0.876627
\(405\) 18.5900 + 7.70802i 0.923742 + 0.383015i
\(406\) −1.81928 −0.0902891
\(407\) 6.27478 6.27478i 0.311029 0.311029i
\(408\) −11.5336 + 6.06190i −0.570996 + 0.300109i
\(409\) −23.0621 −1.14035 −0.570173 0.821525i \(-0.693124\pi\)
−0.570173 + 0.821525i \(0.693124\pi\)
\(410\) 19.5694 0.538391i 0.966466 0.0265892i
\(411\) 4.30935 13.8578i 0.212564 0.683554i
\(412\) −1.63440 1.63440i −0.0805210 0.0805210i
\(413\) −7.61679 7.61679i −0.374798 0.374798i
\(414\) −6.65959 4.58526i −0.327301 0.225353i
\(415\) 0.0413745 + 1.50388i 0.00203099 + 0.0738226i
\(416\) 3.05132 1.92080i 0.149603 0.0941748i
\(417\) −20.4488 + 10.7477i −1.00138 + 0.526315i
\(418\) 3.50882 + 3.50882i 0.171622 + 0.171622i
\(419\) −25.3285 −1.23738 −0.618688 0.785637i \(-0.712335\pi\)
−0.618688 + 0.785637i \(0.712335\pi\)
\(420\) 1.81532 + 3.23462i 0.0885785 + 0.157833i
\(421\) 25.2669i 1.23143i 0.787968 + 0.615716i \(0.211133\pi\)
−0.787968 + 0.615716i \(0.788867\pi\)
\(422\) 2.68346 + 2.68346i 0.130629 + 0.130629i
\(423\) 8.67925 1.60105i 0.422000 0.0778456i
\(424\) 8.24196 0.400265
\(425\) 28.0186 + 25.0939i 1.35910 + 1.21723i
\(426\) 6.42746 20.6691i 0.311412 1.00142i
\(427\) −6.29386 + 6.29386i −0.304581 + 0.304581i
\(428\) 4.52629 + 4.52629i 0.218786 + 0.218786i
\(429\) −14.3331 + 3.81807i −0.692006 + 0.184338i
\(430\) 0.287899 0.304188i 0.0138837 0.0146693i
\(431\) −26.8636 −1.29397 −0.646987 0.762501i \(-0.723971\pi\)
−0.646987 + 0.762501i \(0.723971\pi\)
\(432\) 5.15936 + 0.617257i 0.248230 + 0.0296978i
\(433\) −3.38479 + 3.38479i −0.162663 + 0.162663i −0.783745 0.621083i \(-0.786693\pi\)
0.621083 + 0.783745i \(0.286693\pi\)
\(434\) 8.13965i 0.390716i
\(435\) 7.08272 + 1.99062i 0.339591 + 0.0954431i
\(436\) 17.1190i 0.819851i
\(437\) −3.98155 3.98155i −0.190463 0.190463i
\(438\) −8.01363 + 4.21187i −0.382906 + 0.201251i
\(439\) 28.3140i 1.35136i −0.737197 0.675678i \(-0.763851\pi\)
0.737197 0.675678i \(-0.236149\pi\)
\(440\) −0.146061 5.30901i −0.00696316 0.253097i
\(441\) −15.0303 10.3486i −0.715726 0.492793i
\(442\) 6.01358 26.4481i 0.286037 1.25801i
\(443\) 5.20707 + 5.20707i 0.247395 + 0.247395i 0.819901 0.572505i \(-0.194028\pi\)
−0.572505 + 0.819901i \(0.694028\pi\)
\(444\) 1.92156 6.17926i 0.0911934 0.293255i
\(445\) 13.2519 + 12.5423i 0.628201 + 0.594560i
\(446\) 0.132041i 0.00625233i
\(447\) 8.43938 4.43564i 0.399169 0.209799i
\(448\) 0.677204 + 0.677204i 0.0319949 + 0.0319949i
\(449\) 23.9066i 1.12822i 0.825699 + 0.564110i \(0.190781\pi\)
−0.825699 + 0.564110i \(0.809219\pi\)
\(450\) −3.52805 14.5792i −0.166314 0.687270i
\(451\) −20.7946 −0.979180
\(452\) 1.12282 1.12282i 0.0528129 0.0528129i
\(453\) −21.2298 + 11.1582i −0.997465 + 0.524256i
\(454\) 15.4657i 0.725841i
\(455\) −7.57338 1.50421i −0.355046 0.0705184i
\(456\) 3.45541 + 1.07453i 0.161814 + 0.0503194i
\(457\) −24.0463 + 24.0463i −1.12484 + 1.12484i −0.133837 + 0.991003i \(0.542730\pi\)
−0.991003 + 0.133837i \(0.957270\pi\)
\(458\) −2.78085 2.78085i −0.129941 0.129941i
\(459\) 30.7275 24.1608i 1.43424 1.12773i
\(460\) 0.165739 + 6.02427i 0.00772760 + 0.280883i
\(461\) 19.8148 0.922867 0.461433 0.887175i \(-0.347335\pi\)
0.461433 + 0.887175i \(0.347335\pi\)
\(462\) −1.83302 3.48756i −0.0852798 0.162256i
\(463\) −5.15121 5.15121i −0.239397 0.239397i 0.577203 0.816600i \(-0.304144\pi\)
−0.816600 + 0.577203i \(0.804144\pi\)
\(464\) 1.89961 0.0881870
\(465\) 8.90628 31.6889i 0.413019 1.46954i
\(466\) 3.72237i 0.172436i
\(467\) 4.55792 4.55792i 0.210915 0.210915i −0.593741 0.804656i \(-0.702350\pi\)
0.804656 + 0.593741i \(0.202350\pi\)
\(468\) −7.95673 + 7.32738i −0.367800 + 0.338708i
\(469\) 11.4824i 0.530208i
\(470\) −4.77771 4.52186i −0.220379 0.208578i
\(471\) −4.79325 + 15.4139i −0.220861 + 0.710234i
\(472\) 7.95312 + 7.95312i 0.366072 + 0.366072i
\(473\) −0.314578 + 0.314578i −0.0144643 + 0.0144643i
\(474\) −1.71872 0.534469i −0.0789433 0.0245490i
\(475\) −0.574347 10.4303i −0.0263528 0.478574i
\(476\) 7.20450 0.330218
\(477\) −24.3156 + 4.48547i −1.11334 + 0.205376i
\(478\) 1.10307 1.10307i 0.0504535 0.0504535i
\(479\) 15.9309i 0.727903i −0.931418 0.363951i \(-0.881427\pi\)
0.931418 0.363951i \(-0.118573\pi\)
\(480\) −1.89548 3.37745i −0.0865163 0.154159i
\(481\) 7.17632 + 11.4001i 0.327212 + 0.519799i
\(482\) −5.41180 + 5.41180i −0.246501 + 0.246501i
\(483\) 2.07997 + 3.95742i 0.0946421 + 0.180069i
\(484\) 5.35861i 0.243573i
\(485\) 0.0970638 + 3.52807i 0.00440744 + 0.160202i
\(486\) −15.5572 + 0.986800i −0.705689 + 0.0447622i
\(487\) 20.8304 20.8304i 0.943914 0.943914i −0.0545949 0.998509i \(-0.517387\pi\)
0.998509 + 0.0545949i \(0.0173867\pi\)
\(488\) 6.57177 6.57177i 0.297490 0.297490i
\(489\) −4.56923 + 14.6935i −0.206628 + 0.664462i
\(490\) 0.374061 + 13.5964i 0.0168984 + 0.614222i
\(491\) 24.8807i 1.12285i 0.827527 + 0.561426i \(0.189747\pi\)
−0.827527 + 0.561426i \(0.810253\pi\)
\(492\) −13.4231 + 7.05501i −0.605159 + 0.318064i
\(493\) 10.1046 10.1046i 0.455087 0.455087i
\(494\) −6.37486 + 4.01296i −0.286819 + 0.180552i
\(495\) 3.32020 + 15.5833i 0.149232 + 0.700416i
\(496\) 8.49906i 0.381619i
\(497\) −8.46301 + 8.46301i −0.379618 + 0.379618i
\(498\) −0.542166 1.03154i −0.0242950 0.0462245i
\(499\) −41.1465 −1.84197 −0.920985 0.389598i \(-0.872614\pi\)
−0.920985 + 0.389598i \(0.872614\pi\)
\(500\) −7.22720 + 8.53039i −0.323210 + 0.381491i
\(501\) 1.71213 5.50578i 0.0764924 0.245980i
\(502\) −2.65432 + 2.65432i −0.118468 + 0.118468i
\(503\) −15.8407 15.8407i −0.706300 0.706300i 0.259455 0.965755i \(-0.416457\pi\)
−0.965755 + 0.259455i \(0.916457\pi\)
\(504\) −2.36646 1.62935i −0.105410 0.0725772i
\(505\) 28.6153 + 27.0829i 1.27336 + 1.20517i
\(506\) 6.40143i 0.284578i
\(507\) −0.827651 22.5014i −0.0367573 0.999324i
\(508\) 7.66011 7.66011i 0.339862 0.339862i
\(509\) 4.84314i 0.214668i 0.994223 + 0.107334i \(0.0342314\pi\)
−0.994223 + 0.107334i \(0.965769\pi\)
\(510\) −28.0483 7.88306i −1.24200 0.349068i
\(511\) 5.00576 0.221442
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) −10.7790 1.28958i −0.475905 0.0569364i
\(514\) −4.25176 −0.187537
\(515\) −0.142139 5.16646i −0.00626338 0.227662i
\(516\) −0.0963351 + 0.309789i −0.00424092 + 0.0136377i
\(517\) 4.94089 + 4.94089i 0.217300 + 0.217300i
\(518\) −2.53011 + 2.53011i −0.111167 + 0.111167i
\(519\) −10.0507 + 32.3206i −0.441178 + 1.41872i
\(520\) 7.90779 + 1.57063i 0.346779 + 0.0688766i
\(521\) 1.67217i 0.0732593i −0.999329 0.0366296i \(-0.988338\pi\)
0.999329 0.0366296i \(-0.0116622\pi\)
\(522\) −5.60426 + 1.03381i −0.245292 + 0.0452487i
\(523\) 15.2663 15.2663i 0.667550 0.667550i −0.289599 0.957148i \(-0.593522\pi\)
0.957148 + 0.289599i \(0.0935218\pi\)
\(524\) −21.9129 −0.957269
\(525\) −2.02368 + 8.04336i −0.0883205 + 0.351041i
\(526\) 16.3133i 0.711294i
\(527\) −45.2090 45.2090i −1.96934 1.96934i
\(528\) 1.91396 + 3.64155i 0.0832943 + 0.158478i
\(529\) 15.7361i 0.684180i
\(530\) 13.3851 + 12.6684i 0.581414 + 0.550279i
\(531\) −27.7917 19.1352i −1.20606 0.830397i
\(532\) −1.41483 1.41483i −0.0613405 0.0613405i
\(533\) 6.99877 30.7811i 0.303150 1.33328i
\(534\) −13.4959 4.19682i −0.584025 0.181614i
\(535\) 0.393638 + 14.3080i 0.0170185 + 0.618587i
\(536\) 11.9894i 0.517864i
\(537\) −7.31256 13.9131i −0.315560 0.600395i
\(538\) 11.2823 + 11.2823i 0.486412 + 0.486412i
\(539\) 14.4476i 0.622302i
\(540\) 7.43017 + 8.93267i 0.319743 + 0.384401i
\(541\) 29.0935i 1.25083i −0.780293 0.625414i \(-0.784930\pi\)
0.780293 0.625414i \(-0.215070\pi\)
\(542\) −19.2022 + 19.2022i −0.824803 + 0.824803i
\(543\) 1.53003 + 2.91108i 0.0656599 + 0.124926i
\(544\) −7.52262 −0.322530
\(545\) −26.3129 + 27.8017i −1.12712 + 1.19089i
\(546\) 5.77937 1.53952i 0.247334 0.0658854i
\(547\) 7.13810 + 7.13810i 0.305203 + 0.305203i 0.843045 0.537842i \(-0.180760\pi\)
−0.537842 + 0.843045i \(0.680760\pi\)
\(548\) 5.92464 5.92464i 0.253088 0.253088i
\(549\) −15.8117 + 22.9647i −0.674826 + 0.980110i
\(550\) 7.92305 8.84647i 0.337840 0.377215i
\(551\) −3.96869 −0.169072
\(552\) −2.17182 4.13217i −0.0924387 0.175877i
\(553\) 0.703733 + 0.703733i 0.0299258 + 0.0299258i
\(554\) 15.1199i 0.642384i
\(555\) 12.6185 7.08172i 0.535627 0.300602i
\(556\) −13.3375 −0.565636
\(557\) 4.94545 + 4.94545i 0.209546 + 0.209546i 0.804074 0.594529i \(-0.202661\pi\)
−0.594529 + 0.804074i \(0.702661\pi\)
\(558\) 4.62539 + 25.0741i 0.195808 + 1.06147i
\(559\) −0.359775 0.571528i −0.0152169 0.0241731i
\(560\) 0.0588945 + 2.14070i 0.00248875 + 0.0904610i
\(561\) 29.5514 + 9.18960i 1.24766 + 0.387985i
\(562\) 12.4591 + 12.4591i 0.525556 + 0.525556i
\(563\) 4.14895 + 4.14895i 0.174857 + 0.174857i 0.789110 0.614252i \(-0.210542\pi\)
−0.614252 + 0.789110i \(0.710542\pi\)
\(564\) 4.86568 + 1.51308i 0.204882 + 0.0637121i
\(565\) 3.54932 0.0976482i 0.149321 0.00410809i
\(566\) 24.3731 1.02448
\(567\) 7.86830 + 3.51908i 0.330438 + 0.147787i
\(568\) 8.83670 8.83670i 0.370780 0.370780i
\(569\) 26.2934 1.10228 0.551139 0.834414i \(-0.314194\pi\)
0.551139 + 0.834414i \(0.314194\pi\)
\(570\) 3.96006 + 7.05622i 0.165869 + 0.295553i
\(571\) 29.9043 1.25145 0.625727 0.780042i \(-0.284802\pi\)
0.625727 + 0.780042i \(0.284802\pi\)
\(572\) −8.35063 1.89870i −0.349157 0.0793887i
\(573\) −21.8710 + 11.4952i −0.913676 + 0.480217i
\(574\) 8.38480 0.349975
\(575\) −8.99048 + 10.0383i −0.374929 + 0.418627i
\(576\) 2.47095 + 1.70130i 0.102956 + 0.0708875i
\(577\) 4.56357 4.56357i 0.189984 0.189984i −0.605705 0.795689i \(-0.707109\pi\)
0.795689 + 0.605705i \(0.207109\pi\)
\(578\) −27.9942 + 27.9942i −1.16441 + 1.16441i
\(579\) 6.93575 22.3036i 0.288240 0.926907i
\(580\) 3.08501 + 2.91980i 0.128098 + 0.121238i
\(581\) 0.644358i 0.0267325i
\(582\) −1.27191 2.41998i −0.0527224 0.100311i
\(583\) −13.8423 13.8423i −0.573290 0.573290i
\(584\) −5.22680 −0.216286
\(585\) −24.1845 0.330102i −0.999907 0.0136481i
\(586\) −11.8694 −0.490321
\(587\) 0.204915 + 0.204915i 0.00845773 + 0.00845773i 0.711323 0.702865i \(-0.248096\pi\)
−0.702865 + 0.711323i \(0.748096\pi\)
\(588\) −4.90165 9.32603i −0.202141 0.384599i
\(589\) 17.7564i 0.731638i
\(590\) 0.691660 + 25.1405i 0.0284752 + 1.03502i
\(591\) 5.82253 18.7238i 0.239507 0.770193i
\(592\) 2.64183 2.64183i 0.108579 0.108579i
\(593\) −11.2316 + 11.2316i −0.461226 + 0.461226i −0.899057 0.437831i \(-0.855747\pi\)
0.437831 + 0.899057i \(0.355747\pi\)
\(594\) −7.62843 9.70178i −0.312998 0.398069i
\(595\) 11.7003 + 11.0737i 0.479665 + 0.453979i
\(596\) 5.50449 0.225473
\(597\) −15.6967 + 8.25002i −0.642425 + 0.337651i
\(598\) 9.47567 + 2.15450i 0.387489 + 0.0881042i
\(599\) 24.5114 1.00151 0.500755 0.865589i \(-0.333056\pi\)
0.500755 + 0.865589i \(0.333056\pi\)
\(600\) 2.11303 8.39852i 0.0862643 0.342868i
\(601\) 25.9192 1.05727 0.528634 0.848850i \(-0.322704\pi\)
0.528634 + 0.848850i \(0.322704\pi\)
\(602\) 0.126844 0.126844i 0.00516977 0.00516977i
\(603\) −6.52492 35.3715i −0.265715 1.44044i
\(604\) −13.8469 −0.563422
\(605\) 8.23650 8.70252i 0.334861 0.353808i
\(606\) −29.1422 9.06233i −1.18382 0.368132i
\(607\) 28.1226 + 28.1226i 1.14146 + 1.14146i 0.988183 + 0.153276i \(0.0489824\pi\)
0.153276 + 0.988183i \(0.451018\pi\)
\(608\) 1.47730 + 1.47730i 0.0599124 + 0.0599124i
\(609\) 3.00895 + 0.935692i 0.121929 + 0.0379161i
\(610\) 20.7739 0.571528i 0.841111 0.0231405i
\(611\) −8.97666 + 5.65078i −0.363157 + 0.228606i
\(612\) 22.1934 4.09399i 0.897116 0.165490i
\(613\) 27.8570 + 27.8570i 1.12513 + 1.12513i 0.990958 + 0.134175i \(0.0428383\pi\)
0.134175 + 0.990958i \(0.457162\pi\)
\(614\) 21.3722 0.862512
\(615\) −32.6433 9.17452i −1.31631 0.369952i
\(616\) 2.27472i 0.0916510i
\(617\) −8.65622 8.65622i −0.348486 0.348486i 0.511059 0.859546i \(-0.329253\pi\)
−0.859546 + 0.511059i \(0.829253\pi\)
\(618\) 1.86257 + 3.54378i 0.0749235 + 0.142552i
\(619\) 24.1462 0.970516 0.485258 0.874371i \(-0.338726\pi\)
0.485258 + 0.874371i \(0.338726\pi\)
\(620\) 13.0635 13.8027i 0.524644 0.554329i
\(621\) 8.65617 + 11.0089i 0.347360 + 0.441770i
\(622\) −23.0017 + 23.0017i −0.922284 + 0.922284i
\(623\) 5.52593 + 5.52593i 0.221392 + 0.221392i
\(624\) −6.03456 + 1.60750i −0.241576 + 0.0643515i
\(625\) −24.8488 + 2.74494i −0.993954 + 0.109798i
\(626\) −8.31197 −0.332213
\(627\) −3.99867 7.60799i −0.159692 0.303834i
\(628\) −6.58993 + 6.58993i −0.262967 + 0.262967i
\(629\) 28.1054i 1.12064i
\(630\) −1.33877 6.28349i −0.0533379 0.250340i
\(631\) 37.6669i 1.49950i 0.661723 + 0.749749i \(0.269826\pi\)
−0.661723 + 0.749749i \(0.730174\pi\)
\(632\) −0.734807 0.734807i −0.0292291 0.0292291i
\(633\) −3.05808 5.81840i −0.121548 0.231261i
\(634\) 23.5757i 0.936311i
\(635\) 24.2142 0.666177i 0.960912 0.0264364i
\(636\) −13.6316 4.23902i −0.540528 0.168088i
\(637\) 21.3860 + 4.86257i 0.847343 + 0.192662i
\(638\) −3.19037 3.19037i −0.126308 0.126308i
\(639\) −21.2611 + 30.8794i −0.841077 + 1.22157i
\(640\) −0.0614950 2.23522i −0.00243080 0.0883549i
\(641\) 6.02684i 0.238046i −0.992892 0.119023i \(-0.962024\pi\)
0.992892 0.119023i \(-0.0379762\pi\)
\(642\) −5.15818 9.81411i −0.203577 0.387332i
\(643\) −0.846729 0.846729i −0.0333917 0.0333917i 0.690214 0.723606i \(-0.257516\pi\)
−0.723606 + 0.690214i \(0.757516\pi\)
\(644\) 2.58118i 0.101713i
\(645\) −0.632614 + 0.355033i −0.0249092 + 0.0139794i
\(646\) 15.7164 0.618353
\(647\) 3.77881 3.77881i 0.148560 0.148560i −0.628914 0.777475i \(-0.716500\pi\)
0.777475 + 0.628914i \(0.216500\pi\)
\(648\) −8.21574 3.67447i −0.322745 0.144347i
\(649\) 26.7144i 1.04863i
\(650\) 10.4283 + 14.7055i 0.409031 + 0.576796i
\(651\) 4.18639 13.4624i 0.164078 0.527632i
\(652\) −6.28194 + 6.28194i −0.246020 + 0.246020i
\(653\) 2.30151 + 2.30151i 0.0900649 + 0.0900649i 0.750704 0.660639i \(-0.229715\pi\)
−0.660639 + 0.750704i \(0.729715\pi\)
\(654\) 8.80466 28.3136i 0.344289 1.10715i
\(655\) −35.5871 33.6814i −1.39050 1.31604i
\(656\) −8.75503 −0.341827
\(657\) 15.4202 2.84455i 0.601600 0.110976i
\(658\) −1.99226 1.99226i −0.0776665 0.0776665i
\(659\) −23.4178 −0.912228 −0.456114 0.889921i \(-0.650759\pi\)
−0.456114 + 0.889921i \(0.650759\pi\)
\(660\) −2.48896 + 8.85584i −0.0968828 + 0.344713i
\(661\) 18.6057i 0.723679i −0.932240 0.361840i \(-0.882149\pi\)
0.932240 0.361840i \(-0.117851\pi\)
\(662\) −9.66419 + 9.66419i −0.375610 + 0.375610i
\(663\) −23.5489 + 40.6504i −0.914562 + 1.57873i
\(664\) 0.672810i 0.0261101i
\(665\) −0.123043 4.47238i −0.00477142 0.173431i
\(666\) −6.35625 + 9.23175i −0.246300 + 0.357723i
\(667\) 3.62020 + 3.62020i 0.140175 + 0.140175i
\(668\) 2.35390 2.35390i 0.0910751 0.0910751i
\(669\) 0.0679116 0.218386i 0.00262561 0.00844331i
\(670\) −18.4284 + 19.4711i −0.711952 + 0.752234i
\(671\) −22.0745 −0.852176
\(672\) −0.771746 1.46835i −0.0297707 0.0566427i
\(673\) −24.7786 + 24.7786i −0.955145 + 0.955145i −0.999036 0.0438911i \(-0.986025\pi\)
0.0438911 + 0.999036i \(0.486025\pi\)
\(674\) 26.9352i 1.03751i
\(675\) −1.66325 + 25.9275i −0.0640187 + 0.997949i
\(676\) 5.62108 11.7219i 0.216195 0.450843i
\(677\) −2.48540 + 2.48540i −0.0955215 + 0.0955215i −0.753253 0.657731i \(-0.771516\pi\)
0.657731 + 0.753253i \(0.271516\pi\)
\(678\) −2.43455 + 1.27957i −0.0934982 + 0.0491416i
\(679\) 1.51165i 0.0580119i
\(680\) −12.2169 11.5627i −0.468497 0.443409i
\(681\) −7.95433 + 25.5791i −0.304811 + 0.980194i
\(682\) −14.2741 + 14.2741i −0.546583 + 0.546583i
\(683\) −30.1742 + 30.1742i −1.15458 + 1.15458i −0.168961 + 0.985623i \(0.554041\pi\)
−0.985623 + 0.168961i \(0.945959\pi\)
\(684\) −5.16234 3.55438i −0.197387 0.135905i
\(685\) 18.7283 0.515249i 0.715571 0.0196867i
\(686\) 12.5295i 0.478380i
\(687\) 3.16907 + 6.02957i 0.120908 + 0.230043i
\(688\) −0.132445 + 0.132445i −0.00504941 + 0.00504941i
\(689\) 25.1488 15.8311i 0.958095 0.603118i
\(690\) 2.82429 10.0489i 0.107519 0.382557i
\(691\) 2.84295i 0.108151i −0.998537 0.0540754i \(-0.982779\pi\)
0.998537 0.0540754i \(-0.0172211\pi\)
\(692\) −13.8181 + 13.8181i −0.525285 + 0.525285i
\(693\) 1.23796 + 6.71093i 0.0470260 + 0.254927i
\(694\) −22.1061 −0.839135
\(695\) −21.6604 20.5005i −0.821627 0.777629i
\(696\) −3.14181 0.977008i −0.119090 0.0370334i
\(697\) −46.5706 + 46.5706i −1.76399 + 1.76399i
\(698\) −12.2457 12.2457i −0.463505 0.463505i
\(699\) 1.91450 6.15653i 0.0724129 0.232862i
\(700\) −3.19473 + 3.56707i −0.120749 + 0.134823i
\(701\) 8.02812i 0.303218i −0.988441 0.151609i \(-0.951555\pi\)
0.988441 0.151609i \(-0.0484455\pi\)
\(702\) 16.9285 8.02664i 0.638924 0.302946i
\(703\) −5.51936 + 5.51936i −0.208167 + 0.208167i
\(704\) 2.37516i 0.0895172i
\(705\) 5.57629 + 9.93610i 0.210015 + 0.374215i
\(706\) −36.6393 −1.37894
\(707\) 11.9323 + 11.9323i 0.448761 + 0.448761i
\(708\) −9.06342 17.2443i −0.340624 0.648082i
\(709\) 29.4941 1.10767 0.553837 0.832625i \(-0.313163\pi\)
0.553837 + 0.832625i \(0.313163\pi\)
\(710\) 27.9335 0.768503i 1.04833 0.0288414i
\(711\) 2.56774 + 1.76795i 0.0962980 + 0.0663032i
\(712\) −5.76993 5.76993i −0.216237 0.216237i
\(713\) 16.1972 16.1972i 0.606589 0.606589i
\(714\) −11.9157 3.70543i −0.445934 0.138672i
\(715\) −10.6432 15.9189i −0.398033 0.595334i
\(716\) 9.07466i 0.339136i
\(717\) −2.39174 + 1.25707i −0.0893211 + 0.0469461i
\(718\) 23.0878 23.0878i 0.861628 0.861628i
\(719\) −9.03729 −0.337034 −0.168517 0.985699i \(-0.553898\pi\)
−0.168517 + 0.985699i \(0.553898\pi\)
\(720\) 1.39788 + 6.56094i 0.0520961 + 0.244512i
\(721\) 2.21364i 0.0824403i
\(722\) 10.3486 + 10.3486i 0.385136 + 0.385136i
\(723\) 11.7341 6.16731i 0.436396 0.229365i
\(724\) 1.89872i 0.0705653i
\(725\) 0.522221 + 9.48367i 0.0193948 + 0.352214i
\(726\) −2.75605 + 8.86275i −0.102287 + 0.328928i
\(727\) −36.8257 36.8257i −1.36579 1.36579i −0.866349 0.499440i \(-0.833539\pi\)
−0.499440 0.866349i \(-0.666461\pi\)
\(728\) 3.36714 + 0.765594i 0.124794 + 0.0283748i
\(729\) 26.2380 + 6.36930i 0.971777 + 0.235900i
\(730\) −8.48844 8.03389i −0.314171 0.297347i
\(731\) 1.40903i 0.0521147i
\(732\) −14.2492 + 7.48923i −0.526667 + 0.276810i
\(733\) 33.7479 + 33.7479i 1.24651 + 1.24651i 0.957252 + 0.289256i \(0.0934079\pi\)
0.289256 + 0.957252i \(0.406592\pi\)
\(734\) 2.83009i 0.104460i
\(735\) 6.37424 22.6798i 0.235117 0.836557i
\(736\) 2.69516i 0.0993447i
\(737\) 20.1361 20.1361i 0.741724 0.741724i
\(738\) 25.8293 4.76470i 0.950790 0.175391i
\(739\) 28.6230 1.05292 0.526458 0.850201i \(-0.323520\pi\)
0.526458 + 0.850201i \(0.323520\pi\)
\(740\) 8.35105 0.229753i 0.306991 0.00844587i
\(741\) 12.6075 3.35841i 0.463148 0.123374i
\(742\) 5.58149 + 5.58149i 0.204903 + 0.204903i
\(743\) −17.2290 + 17.2290i −0.632070 + 0.632070i −0.948587 0.316517i \(-0.897487\pi\)
0.316517 + 0.948587i \(0.397487\pi\)
\(744\) −4.37125 + 14.0568i −0.160258 + 0.515348i
\(745\) 8.93942 + 8.46071i 0.327515 + 0.309976i
\(746\) 17.1930 0.629480
\(747\) 0.366159 + 1.98494i 0.0133971 + 0.0726252i
\(748\) 12.6342 + 12.6342i 0.461951 + 0.461951i
\(749\) 6.13044i 0.224001i
\(750\) 16.3406 10.3915i 0.596675 0.379445i
\(751\) 46.3660 1.69192 0.845960 0.533247i \(-0.179028\pi\)
0.845960 + 0.533247i \(0.179028\pi\)
\(752\) 2.08023 + 2.08023i 0.0758583 + 0.0758583i
\(753\) 5.75523 3.02488i 0.209732 0.110233i
\(754\) 5.79630 3.64876i 0.211089 0.132880i
\(755\) −22.4877 21.2835i −0.818411 0.774585i
\(756\) 3.07593 + 3.91195i 0.111871 + 0.142276i
\(757\) −14.9234 14.9234i −0.542401 0.542401i 0.381831 0.924232i \(-0.375293\pi\)
−0.924232 + 0.381831i \(0.875293\pi\)
\(758\) 14.5643 + 14.5643i 0.528999 + 0.528999i
\(759\) −3.29239 + 10.5875i −0.119506 + 0.384301i
\(760\) 0.128476 + 4.66986i 0.00466033 + 0.169394i
\(761\) 15.3305 0.555729 0.277864 0.960620i \(-0.410373\pi\)
0.277864 + 0.960620i \(0.410373\pi\)
\(762\) −16.6090 + 8.72950i −0.601681 + 0.316236i
\(763\) −11.5931 + 11.5931i −0.419697 + 0.419697i
\(764\) −14.2651 −0.516094
\(765\) 42.3353 + 27.4638i 1.53064 + 0.992956i
\(766\) −2.42062 −0.0874607
\(767\) 39.5438 + 8.99116i 1.42784 + 0.324652i
\(768\) 0.805823 + 1.53318i 0.0290776 + 0.0553240i
\(769\) 36.6299 1.32091 0.660454 0.750866i \(-0.270364\pi\)
0.660454 + 0.750866i \(0.270364\pi\)
\(770\) 3.49637 3.69420i 0.126001 0.133130i
\(771\) 7.03210 + 2.18677i 0.253255 + 0.0787547i
\(772\) 9.53551 9.53551i 0.343191 0.343191i
\(773\) −14.6833 + 14.6833i −0.528122 + 0.528122i −0.920012 0.391890i \(-0.871821\pi\)
0.391890 + 0.920012i \(0.371821\pi\)
\(774\) 0.318662 0.462822i 0.0114541 0.0166358i
\(775\) 42.4310 2.33648i 1.52417