Properties

Label 390.2.s.b.233.7
Level $390$
Weight $2$
Character 390.233
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 233.7
Character \(\chi\) \(=\) 390.233
Dual form 390.2.s.b.77.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.707107 - 0.707107i) q^{2} +(-1.53318 + 0.805823i) q^{3} -1.00000i q^{4} +(1.53706 + 1.62402i) q^{5} +(-0.514321 + 1.65393i) q^{6} +(-0.677204 - 0.677204i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(1.70130 - 2.47095i) q^{9} +O(q^{10})\) \(q+(0.707107 - 0.707107i) q^{2} +(-1.53318 + 0.805823i) 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} +(0.805823 + 1.53318i) q^{12} +(0.799399 + 3.51582i) q^{13} -0.957712 q^{14} +(-3.66527 - 1.25133i) q^{15} -1.00000 q^{16} +(5.31930 + 5.31930i) q^{17} +(-0.544224 - 2.95022i) 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} +(-0.617257 + 5.15936i) q^{27} +(-0.677204 + 0.677204i) q^{28} +1.89961 q^{29} +(-3.47656 + 1.70691i) q^{30} -8.49906i q^{31} +(-0.707107 + 0.707107i) q^{32} +(-3.64155 + 1.91396i) 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} +(-4.05875 - 4.74621i) q^{39} +(0.0614950 - 2.23522i) q^{40} -8.75503 q^{41} +(1.46835 - 0.771746i) q^{42} +(0.132445 + 0.132445i) q^{43} -2.37516i q^{44} +(6.62787 - 1.03504i) q^{45} -2.69516i q^{46} +(2.08023 - 2.08023i) q^{47} +(1.53318 - 0.805823i) 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} +(-3.20315 + 1.68354i) q^{57} +(1.34322 - 1.34322i) q^{58} +11.2474i q^{59} +(-1.25133 + 3.66527i) q^{60} +9.29389 q^{61} +(-6.00974 - 6.00974i) q^{62} +(-2.82546 + 0.521209i) 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} +(-2.95022 + 0.544224i) q^{72} +(-3.69590 + 3.69590i) q^{73} -3.73612 q^{74} +(-3.60153 - 7.87585i) q^{75} -2.08922i q^{76} +(-1.60847 - 1.60847i) q^{77} +(-6.22605 - 0.486111i) 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} +(-2.91244 + 1.53075i) q^{87} +(-1.67949 - 1.67949i) q^{88} -8.15992i q^{89} +(3.95473 - 5.41850i) q^{90} +(1.83957 - 2.92228i) q^{91} +(-1.90576 - 1.90576i) q^{92} +(6.84873 + 13.0306i) 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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24 q - 8 q^{3} - 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 24 q - 8 q^{3} - 12 q^{9} + 4 q^{10} + 4 q^{12} - 8 q^{13} - 16 q^{14} - 24 q^{16} + 52 q^{17} + 16 q^{22} - 16 q^{23} + 16 q^{25} + 40 q^{27} - 80 q^{29} + 20 q^{35} - 16 q^{38} - 32 q^{39} - 4 q^{42} + 28 q^{43} + 8 q^{48} - 20 q^{51} - 8 q^{52} + 72 q^{53} + 24 q^{55} - 64 q^{61} - 32 q^{62} - 12 q^{65} + 8 q^{66} + 52 q^{68} - 16 q^{69} - 120 q^{74} - 104 q^{75} + 32 q^{77} + 44 q^{78} + 12 q^{81} + 32 q^{82} - 32 q^{87} - 16 q^{88} + 64 q^{90} + 64 q^{91} + 16 q^{92} + 96 q^{95}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(131\) \(157\) \(301\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{4}\right)\) \(-1\)

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
\(3\) −1.53318 + 0.805823i −0.885184 + 0.465242i
\(4\) 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 0.567449 0.823408i \(-0.307930\pi\)
−0.823408 + 0.567449i \(0.807930\pi\)
\(8\) −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 \(-0.383435\pi\)
0.358069 + 0.933695i \(0.383435\pi\)
\(12\) 0.805823 + 1.53318i 0.232621 + 0.442592i
\(13\) 0.799399 + 3.51582i 0.221713 + 0.975112i
\(14\) −0.957712 −0.255959
\(15\) −3.66527 1.25133i −0.946368 0.323092i
\(16\) −1.00000 −0.250000
\(17\) 5.31930 + 5.31930i 1.29012 + 1.29012i 0.934712 + 0.355407i \(0.115658\pi\)
0.355407 + 0.934712i \(0.384342\pi\)
\(18\) −0.544224 2.95022i −0.128275 0.695374i
\(19\) 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 \(-0.659337\pi\)
0.877308 + 0.479929i \(0.159337\pi\)
\(24\) 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
\(27\) −0.617257 + 5.15936i −0.118791 + 0.992919i
\(28\) −0.677204 + 0.677204i −0.127980 + 0.127980i
\(29\) 1.89961 0.352748 0.176374 0.984323i \(-0.443563\pi\)
0.176374 + 0.984323i \(0.443563\pi\)
\(30\) −3.47656 + 1.70691i −0.634730 + 0.311638i
\(31\) 8.49906i 1.52648i −0.646118 0.763238i \(-0.723608\pi\)
0.646118 0.763238i \(-0.276392\pi\)
\(32\) −0.707107 + 0.707107i −0.125000 + 0.125000i
\(33\) −3.64155 + 1.91396i −0.633913 + 0.333177i
\(34\) 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 0.455779 0.890093i \(-0.349361\pi\)
−0.890093 + 0.455779i \(0.849361\pi\)
\(38\) 1.47730 1.47730i 0.239649 0.239649i
\(39\) −4.05875 4.74621i −0.649920 0.760003i
\(40\) 0.0614950 2.23522i 0.00972322 0.353420i
\(41\) −8.75503 −1.36731 −0.683653 0.729807i \(-0.739610\pi\)
−0.683653 + 0.729807i \(0.739610\pi\)
\(42\) 1.46835 0.771746i 0.226571 0.119083i
\(43\) 0.132445 + 0.132445i 0.0201977 + 0.0201977i 0.717133 0.696936i \(-0.245454\pi\)
−0.696936 + 0.717133i \(0.745454\pi\)
\(44\) 2.37516i 0.358069i
\(45\) 6.62787 1.03504i 0.988025 0.154294i
\(46\) 2.69516i 0.397379i
\(47\) 2.08023 2.08023i 0.303433 0.303433i −0.538922 0.842356i \(-0.681168\pi\)
0.842356 + 0.538922i \(0.181168\pi\)
\(48\) 1.53318 0.805823i 0.221296 0.116311i
\(49\) 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 \(-0.941533\pi\)
0.182648 + 0.983178i \(0.441533\pi\)
\(54\) 3.21175 + 4.08468i 0.437064 + 0.555855i
\(55\) 3.65076 + 3.85732i 0.492268 + 0.520121i
\(56\) 0.957712i 0.127980i
\(57\) −3.20315 + 1.68354i −0.424268 + 0.222990i
\(58\) 1.34322 1.34322i 0.176374 0.176374i
\(59\) 11.2474i 1.46429i 0.681150 + 0.732144i \(0.261480\pi\)
−0.681150 + 0.732144i \(0.738520\pi\)
\(60\) −1.25133 + 3.66527i −0.161546 + 0.473184i
\(61\) 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
\(63\) −2.82546 + 0.521209i −0.355975 + 0.0656662i
\(64\) 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 −0.999338 0.0363899i \(-0.988414\pi\)
−0.0363899 0.999338i \(-0.511586\pi\)
\(68\) 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 \(-0.765914\pi\)
−0.741560 + 0.670887i \(0.765914\pi\)
\(72\) −2.95022 + 0.544224i −0.347687 + 0.0641374i
\(73\) −3.69590 + 3.69590i −0.432573 + 0.432573i −0.889503 0.456930i \(-0.848949\pi\)
0.456930 + 0.889503i \(0.348949\pi\)
\(74\) −3.73612 −0.434315
\(75\) −3.60153 7.87585i −0.415869 0.909424i
\(76\) 2.08922i 0.239649i
\(77\) −1.60847 1.60847i −0.183302 0.183302i
\(78\) −6.22605 0.486111i −0.704961 0.0550413i
\(79\) 1.03917i 0.116916i 0.998290 + 0.0584581i \(0.0186184\pi\)
−0.998290 + 0.0584581i \(0.981382\pi\)
\(80\) −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 \(-0.261756\pi\)
−0.732735 + 0.680514i \(0.761756\pi\)
\(84\) 0.492571 1.58398i 0.0537439 0.172827i
\(85\) −0.462604 + 16.8147i −0.0501764 + 1.82381i
\(86\) 0.187305 0.0201977
\(87\) −2.91244 + 1.53075i −0.312247 + 0.164113i
\(88\) −1.67949 1.67949i −0.179034 0.179034i
\(89\) 8.15992i 0.864950i −0.901646 0.432475i \(-0.857640\pi\)
0.901646 0.432475i \(-0.142360\pi\)
\(90\) 3.95473 5.41850i 0.416865 0.571160i
\(91\) 1.83957 2.92228i 0.192839 0.306338i
\(92\) −1.90576 1.90576i −0.198689 0.198689i
\(93\) 6.84873 + 13.0306i 0.710181 + 1.35121i
\(94\) 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 0.761494 0.648172i \(-0.224466\pi\)
−0.648172 + 0.761494i \(0.724466\pi\)
\(98\) −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 \(-0.340212\pi\)
\(102\) −11.5336 + 6.06190i −1.14199 + 0.600217i
\(103\) −1.63440 1.63440i −0.161042 0.161042i 0.621986 0.783028i \(-0.286326\pi\)
−0.783028 + 0.621986i \(0.786326\pi\)
\(104\) 1.92080 3.05132i 0.188350 0.299206i
\(105\) 1.63473 + 3.32954i 0.159533 + 0.324930i
\(106\) 8.24196i 0.800530i
\(107\) −4.52629 4.52629i −0.437573 0.437573i 0.453622 0.891194i \(-0.350132\pi\)
−0.891194 + 0.453622i \(0.850132\pi\)
\(108\) 5.15936 + 0.617257i 0.496460 + 0.0593955i
\(109\) 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 \(-0.726204\pi\)
0.757945 + 0.652319i \(0.226204\pi\)
\(114\) −1.07453 + 3.45541i −0.100639 + 0.323629i
\(115\) 6.02427 + 0.165739i 0.561766 + 0.0154552i
\(116\) 1.89961i 0.176374i
\(117\) 10.0474 + 4.00618i 0.928884 + 0.370372i
\(118\) 7.95312 + 7.95312i 0.732144 + 0.732144i
\(119\) 7.20450i 0.660436i
\(120\) 1.70691 + 3.47656i 0.155819 + 0.317365i
\(121\) −5.35861 −0.487147
\(122\) 6.57177 6.57177i 0.594980 0.594980i
\(123\) 13.4231 7.05501i 1.21032 0.636129i
\(124\) −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 −0.959938 0.280213i \(-0.909595\pi\)
0.280213 + 0.959938i \(0.409595\pi\)
\(128\) 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 \(0.593389\pi\)
\(132\) 1.91396 + 3.64155i 0.166589 + 0.316957i
\(133\) −1.41483 1.41483i −0.122681 0.122681i
\(134\) −11.9894 −1.03573
\(135\) −9.32768 + 6.92779i −0.802799 + 0.596249i
\(136\) 7.52262i 0.645059i
\(137\) 5.92464 5.92464i 0.506176 0.506176i −0.407174 0.913351i \(-0.633486\pi\)
0.913351 + 0.407174i \(0.133486\pi\)
\(138\) 2.17182 + 4.13217i 0.184877 + 0.351753i
\(139\) 13.3375i 1.13127i −0.824655 0.565636i \(-0.808631\pi\)
0.824655 0.565636i \(-0.191369\pi\)
\(140\) −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
\(147\) 4.90165 + 9.32603i 0.404281 + 0.769198i
\(148\) −2.64183 + 2.64183i −0.217157 + 0.217157i
\(149\) 5.50449i 0.450945i −0.974250 0.225473i \(-0.927607\pi\)
0.974250 0.225473i \(-0.0723926\pi\)
\(150\) −8.11573 3.02240i −0.662647 0.246778i
\(151\) 13.8469i 1.12684i −0.826169 0.563422i \(-0.809484\pi\)
0.826169 0.563422i \(-0.190516\pi\)
\(152\) −1.47730 1.47730i −0.119825 0.119825i
\(153\) 22.1934 4.09399i 1.79423 0.330979i
\(154\) −2.27472 −0.183302
\(155\) 13.8027 13.0635i 1.10866 1.04929i
\(156\) −4.74621 + 4.05875i −0.380001 + 0.324960i
\(157\) 6.58993 6.58993i 0.525934 0.525934i −0.393424 0.919357i \(-0.628709\pi\)
0.919357 + 0.393424i \(0.128709\pi\)
\(158\) 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
\(162\) −8.21574 3.67447i −0.645489 0.288693i
\(163\) 6.28194 6.28194i 0.492039 0.492039i −0.416909 0.908948i \(-0.636887\pi\)
0.908948 + 0.416909i \(0.136887\pi\)
\(164\) 8.75503i 0.683653i
\(165\) −8.70559 2.97211i −0.677730 0.231378i
\(166\) −0.672810 −0.0522202
\(167\) 2.35390 2.35390i 0.182150 0.182150i −0.610142 0.792292i \(-0.708888\pi\)
0.792292 + 0.610142i \(0.208888\pi\)
\(168\) −0.771746 1.46835i −0.0595415 0.113285i
\(169\) −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 −0.0519185 + 0.998651i \(0.516534\pi\)
−0.998651 + 0.0519185i \(0.983466\pi\)
\(174\) −0.977008 + 3.14181i −0.0740668 + 0.238180i
\(175\) 3.56707 3.19473i 0.269645 0.241499i
\(176\) −2.37516 −0.179034
\(177\) −9.06342 17.2443i −0.681248 1.29616i
\(178\) −5.76993 5.76993i −0.432475 0.432475i
\(179\) 9.07466 0.678272 0.339136 0.940737i \(-0.389865\pi\)
0.339136 + 0.940737i \(0.389865\pi\)
\(180\) −1.03504 6.62787i −0.0771471 0.494012i
\(181\) 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
\(183\) −14.2492 + 7.48923i −1.05333 + 0.553620i
\(184\) −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 \(0.827386\pi\)
\(192\) −0.805823 1.53318i −0.0581553 0.110648i
\(193\) −9.53551 + 9.53551i −0.686381 + 0.686381i −0.961430 0.275049i \(-0.911306\pi\)
0.275049 + 0.961430i \(0.411306\pi\)
\(194\) 1.57840 0.113323
\(195\) 1.46944 13.8867i 0.105229 0.994448i
\(196\) −6.08279 −0.434485
\(197\) 8.00501 8.00501i 0.570334 0.570334i −0.361888 0.932222i \(-0.617868\pi\)
0.932222 + 0.361888i \(0.117868\pi\)
\(198\) −1.29262 7.00725i −0.0918624 0.497984i
\(199\) 10.2380i 0.725753i −0.931837 0.362877i \(-0.881795\pi\)
0.931837 0.362877i \(-0.118205\pi\)
\(200\) 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
\(207\) −1.46677 7.95131i −0.101947 0.552654i
\(208\) −0.799399 3.51582i −0.0554283 0.243778i
\(209\) 4.96222 0.343244
\(210\) 3.51027 + 1.19841i 0.242231 + 0.0826984i
\(211\) −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
\(213\) 19.1602 10.0704i 1.31283 0.690010i
\(214\) −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
\(222\) 5.72815 3.01065i 0.384448 0.202061i
\(223\) −0.0933672 + 0.0933672i −0.00625233 + 0.00625233i −0.710226 0.703974i \(-0.751407\pi\)
0.703974 + 0.710226i \(0.251407\pi\)
\(224\) 0.957712 0.0639898
\(225\) 11.8683 + 9.17292i 0.791223 + 0.611528i
\(226\) 1.58790i 0.105626i
\(227\) −10.9359 + 10.9359i −0.725841 + 0.725841i −0.969788 0.243947i \(-0.921558\pi\)
0.243947 + 0.969788i \(0.421558\pi\)
\(228\) 1.68354 + 3.20315i 0.111495 + 0.212134i
\(229\) 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 \(-0.711092\pi\)
0.788049 + 0.615613i \(0.211092\pi\)
\(234\) 9.93739 4.27180i 0.649628 0.279256i
\(235\) 6.57579 + 0.180912i 0.428957 + 0.0118014i
\(236\) 11.2474 0.732144
\(237\) −0.837390 1.59324i −0.0543943 0.103492i
\(238\) −5.09435 5.09435i −0.330218 0.330218i
\(239\) 1.55998i 0.100907i 0.998726 + 0.0504535i \(0.0160667\pi\)
−0.998726 + 0.0504535i \(0.983933\pi\)
\(240\) 3.66527 + 1.25133i 0.236592 + 0.0807730i
\(241\) 7.65343i 0.493001i 0.969143 + 0.246501i \(0.0792807\pi\)
−0.969143 + 0.246501i \(0.920719\pi\)
\(242\) −3.78911 + 3.78911i −0.243573 + 0.243573i
\(243\) 11.6984 + 10.3028i 0.750451 + 0.660926i
\(244\) 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 \(-0.0377984\pi\)
\(252\) 0.521209 + 2.82546i 0.0328331 + 0.177987i
\(253\) 4.52649 4.52649i 0.284578 0.284578i
\(254\) 10.8330i 0.679725i
\(255\) −12.8404 26.1528i −0.804099 1.63775i
\(256\) 1.00000 0.0625000
\(257\) −3.00645 3.00645i −0.187537 0.187537i 0.607093 0.794631i \(-0.292335\pi\)
−0.794631 + 0.607093i \(0.792335\pi\)
\(258\) −0.287173 + 0.150935i −0.0178786 + 0.00939680i
\(259\) 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 \(-0.917756\pi\)
0.255512 + 0.966806i \(0.417756\pi\)
\(264\) 3.92834 + 1.22160i 0.241773 + 0.0751840i
\(265\) −18.4226 0.506840i −1.13169 0.0311349i
\(266\) −2.00087 −0.122681
\(267\) 6.57545 + 12.5106i 0.402411 + 0.765639i
\(268\) −8.47780 + 8.47780i −0.517864 + 0.517864i
\(269\) 15.9555 0.972825 0.486412 0.873729i \(-0.338305\pi\)
0.486412 + 0.873729i \(0.338305\pi\)
\(270\) −1.69698 + 11.4944i −0.103275 + 0.699524i
\(271\) 27.1560i 1.64961i 0.565420 + 0.824803i \(0.308714\pi\)
−0.565420 + 0.824803i \(0.691286\pi\)
\(272\) −5.31930 5.31930i −0.322530 0.322530i
\(273\) −0.465554 + 5.96276i −0.0281766 + 0.360883i
\(274\) 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 −0.308757 0.951141i \(-0.599913\pi\)
0.951141 + 0.308757i \(0.0999129\pi\)
\(278\) −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 \(-0.323857\pi\)
0.525556 + 0.850759i \(0.323857\pi\)
\(282\) 2.37065 + 4.51046i 0.141170 + 0.268594i
\(283\) −17.2344 17.2344i −1.02448 1.02448i −0.999693 0.0247857i \(-0.992110\pi\)
−0.0247857 0.999693i \(-0.507890\pi\)
\(284\) 12.4970i 0.741560i
\(285\) −7.65753 2.61430i −0.453593 0.154858i
\(286\) 7.24737 + 4.56220i 0.428546 + 0.269769i
\(287\) 5.92895 + 5.92895i 0.349975 + 0.349975i
\(288\) 0.544224 + 2.95022i 0.0320687 + 0.173844i
\(289\) 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 \(-0.362701\pi\)
−0.908407 + 0.418086i \(0.862701\pi\)
\(294\) 10.0605 + 3.12851i 0.586740 + 0.182458i
\(295\) −18.2661 + 17.2879i −1.06349 + 1.00654i
\(296\) 3.73612i 0.217157i
\(297\) −1.46608 + 12.2543i −0.0850708 + 0.711067i
\(298\) −3.89226 3.89226i −0.225473 0.225473i
\(299\) 8.22377 + 5.17685i 0.475593 + 0.299385i
\(300\) −7.87585 + 3.60153i −0.454712 + 0.207935i
\(301\) 0.179384i 0.0103395i
\(302\) −9.79124 9.79124i −0.563422 0.563422i
\(303\) 14.1986 + 27.0147i 0.815687 + 1.55195i
\(304\) −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 0.129118 0.991629i \(-0.458786\pi\)
−0.991629 + 0.129118i \(0.958786\pi\)
\(308\) −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 \(-0.373679\pi\)
\(312\) −0.486111 + 6.22605i −0.0275206 + 0.352481i
\(313\) 5.87745 + 5.87745i 0.332213 + 0.332213i 0.853426 0.521213i \(-0.174520\pi\)
−0.521213 + 0.853426i \(0.674520\pi\)
\(314\) 9.31957i 0.525934i
\(315\) −5.18936 3.78749i −0.292387 0.213401i
\(316\) 1.03917 0.0584581
\(317\) 16.6705 16.6705i 0.936311 0.936311i −0.0617787 0.998090i \(-0.519677\pi\)
0.998090 + 0.0617787i \(0.0196773\pi\)
\(318\) −6.64156 12.6364i −0.372440 0.708616i
\(319\) 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
\(327\) −26.2465 + 13.7949i −1.45144 + 0.762858i
\(328\) 6.19074 + 6.19074i 0.341827 + 0.341827i
\(329\) −2.81749 −0.155333
\(330\) −8.25738 + 4.05418i −0.454554 + 0.223176i
\(331\) 13.6672i 0.751219i 0.926778 + 0.375610i \(0.122567\pi\)
−0.926778 + 0.375610i \(0.877433\pi\)
\(332\) −0.475749 + 0.475749i −0.0261101 + 0.0261101i
\(333\) −11.0224 + 2.03328i −0.604023 + 0.111423i
\(334\) 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 0.0382377 0.999269i \(-0.487826\pi\)
0.999269 0.0382377i \(-0.0121744\pi\)
\(338\) −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
\(342\) −1.13700 6.16365i −0.0614819 0.333292i
\(343\) −8.85972 + 8.85972i −0.478380 + 0.478380i
\(344\) 0.187305i 0.0100988i
\(345\) −9.36986 + 4.60039i −0.504457 + 0.247677i
\(346\) 19.5417i 1.05057i
\(347\) −15.6314 15.6314i −0.839135 0.839135i 0.149610 0.988745i \(-0.452198\pi\)
−0.988745 + 0.149610i \(0.952198\pi\)
\(348\) 1.53075 + 2.91244i 0.0820566 + 0.156123i
\(349\) 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
\(351\) −18.6328 + 1.95423i −0.994545 + 0.104309i
\(352\) −1.67949 + 1.67949i −0.0895172 + 0.0895172i
\(353\) −25.9079 25.9079i −1.37894 1.37894i −0.846414 0.532525i \(-0.821243\pi\)
−0.532525 0.846414i \(-0.678757\pi\)
\(354\) −18.6024 5.78478i −0.988706 0.307458i
\(355\) −19.2086 20.2954i −1.01949 1.07717i
\(356\) −8.15992 −0.432475
\(357\) 5.80555 + 11.0458i 0.307262 + 0.584607i
\(358\) 6.41675 6.41675i 0.339136 0.339136i
\(359\) 32.6510i 1.72326i 0.507540 + 0.861628i \(0.330555\pi\)
−0.507540 + 0.861628i \(0.669445\pi\)
\(360\) −5.41850 3.95473i −0.285580 0.208433i
\(361\) −14.6352 −0.770272
\(362\) 1.34260 1.34260i 0.0705653 0.0705653i
\(363\) 8.21573 4.31809i 0.431214 0.226641i
\(364\) −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 −0.757405 0.652945i \(-0.773533\pi\)
0.652945 + 0.757405i \(0.273533\pi\)
\(368\) −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
\(372\) 13.0306 6.84873i 0.675606 0.355090i
\(373\) −12.1573 12.1573i −0.629480 0.629480i 0.318457 0.947937i \(-0.396835\pi\)
−0.947937 + 0.318457i \(0.896835\pi\)
\(374\) 17.8674 0.923903
\(375\) 7.25481 17.9546i 0.374637 0.927172i
\(376\) −2.94189 −0.151717
\(377\) 1.51854 + 6.67867i 0.0782090 + 0.343969i
\(378\) 0.591154 4.94118i 0.0304057 0.254147i
\(379\) −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 \(-0.269698\pi\)
−0.749484 + 0.662023i \(0.769698\pi\)
\(384\) −1.65393 0.514321i −0.0844016 0.0262463i
\(385\) 0.139884 5.08450i 0.00712914 0.259130i
\(386\) 13.4852i 0.686381i
\(387\) 0.552593 0.101936i 0.0280899 0.00518170i
\(388\) 1.11610 1.11610i 0.0566613 0.0566613i
\(389\) −22.7607 −1.15401 −0.577007 0.816739i \(-0.695779\pi\)
−0.577007 + 0.816739i \(0.695779\pi\)
\(390\) −8.78034 10.8584i −0.444610 0.549838i
\(391\) 20.2746 1.02533
\(392\) −4.30118 + 4.30118i −0.217242 + 0.217242i
\(393\) −17.6579 33.5965i −0.890723 1.69472i
\(394\) 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 0.999466 0.0326724i \(-0.0104018\pi\)
−0.0326724 + 0.999466i \(0.510402\pi\)
\(398\) −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 \(-0.686432\pi\)
−0.552779 + 0.833328i \(0.686432\pi\)
\(402\) 18.3820 9.66134i 0.916809 0.481864i
\(403\) 29.8811 6.79414i 1.48848 0.338440i
\(404\) −17.6200 −0.876627
\(405\) 8.71847 18.1380i 0.433224 0.901286i
\(406\) −1.81928 −0.0902891
\(407\) −6.27478 6.27478i −0.311029 0.311029i
\(408\) 6.06190 + 11.5336i 0.300109 + 0.570996i
\(409\) −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
\(417\) 10.7477 + 20.4488i 0.526315 + 1.00138i
\(418\) 3.50882 3.50882i 0.171622 0.171622i
\(419\) 25.3285 1.23738 0.618688 0.785637i \(-0.287665\pi\)
0.618688 + 0.785637i \(0.287665\pi\)
\(420\) 3.32954 1.63473i 0.162465 0.0797665i
\(421\) 25.2669i 1.23143i −0.787968 0.615716i \(-0.788867\pi\)
0.787968 0.615716i \(-0.211133\pi\)
\(422\) −2.68346 + 2.68346i −0.130629 + 0.130629i
\(423\) −1.60105 8.67925i −0.0778456 0.422000i
\(424\) 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
\(429\) −9.64018 11.2730i −0.465432 0.544267i
\(430\) 0.287899 + 0.304188i 0.0138837 + 0.0146693i
\(431\) 26.8636 1.29397 0.646987 0.762501i \(-0.276029\pi\)
0.646987 + 0.762501i \(0.276029\pi\)
\(432\) 0.617257 5.15936i 0.0296978 0.248230i
\(433\) −3.38479 3.38479i −0.162663 0.162663i 0.621083 0.783745i \(-0.286693\pi\)
−0.783745 + 0.621083i \(0.786693\pi\)
\(434\) 8.13965i 0.390716i
\(435\) −6.96256 2.37704i −0.333829 0.113970i
\(436\) 17.1190i 0.819851i
\(437\) 3.98155 3.98155i 0.190463 0.190463i
\(438\) −4.21187 8.01363i −0.201251 0.382906i
\(439\) 28.3140i 1.35136i 0.737197 + 0.675678i \(0.236149\pi\)
−0.737197 + 0.675678i \(0.763851\pi\)
\(440\) 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 \(-0.805972\pi\)
0.572505 + 0.819901i \(0.305972\pi\)
\(444\) 1.92156 6.17926i 0.0911934 0.293255i
\(445\) 13.2519 12.5423i 0.628201 0.594560i
\(446\) 0.132041i 0.00625233i
\(447\) 4.43564 + 8.43938i 0.209799 + 0.399169i
\(448\) 0.677204 0.677204i 0.0319949 0.0319949i
\(449\) 23.9066i 1.12822i 0.825699 + 0.564110i \(0.190781\pi\)
−0.825699 + 0.564110i \(0.809219\pi\)
\(450\) 14.8784 1.90596i 0.701375 0.0898476i
\(451\) −20.7946 −0.979180
\(452\) −1.12282 1.12282i −0.0528129 0.0528129i
\(453\) 11.1582 + 21.2298i 0.524256 + 0.997465i
\(454\) 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 −0.991003 0.133837i \(-0.957270\pi\)
−0.133837 0.991003i \(-0.542730\pi\)
\(458\) 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 \(-0.652665\pi\)
−0.461433 + 0.887175i \(0.652665\pi\)
\(462\) 3.48756 1.83302i 0.162256 0.0852798i
\(463\) −5.15121 + 5.15121i −0.239397 + 0.239397i −0.816600 0.577203i \(-0.804144\pi\)
0.577203 + 0.816600i \(0.304144\pi\)
\(464\) −1.89961 −0.0881870
\(465\) −10.6351 + 31.1513i −0.493192 + 1.44461i
\(466\) 3.72237i 0.172436i
\(467\) −4.55792 4.55792i −0.210915 0.210915i 0.593741 0.804656i \(-0.297650\pi\)
−0.804656 + 0.593741i \(0.797650\pi\)
\(468\) 4.00618 10.0474i 0.185186 0.464442i
\(469\) 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
\(477\) 4.48547 + 24.3156i 0.205376 + 1.11334i
\(478\) 1.10307 + 1.10307i 0.0504535 + 0.0504535i
\(479\) 15.9309i 0.727903i −0.931418 0.363951i \(-0.881427\pi\)
0.931418 0.363951i \(-0.118573\pi\)
\(480\) 3.47656 1.70691i 0.158682 0.0779094i
\(481\) 7.17632 11.4001i 0.327212 0.519799i
\(482\) 5.41180 + 5.41180i 0.246501 + 0.246501i
\(483\) 3.95742 2.07997i 0.180069 0.0946421i
\(484\) 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 0.998509 0.0545949i \(-0.0173867\pi\)
−0.0545949 + 0.998509i \(0.517387\pi\)
\(488\) −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 \(0.810253\pi\)
\(492\) −7.05501 13.4231i −0.318064 0.605159i
\(493\) 10.1046 + 10.1046i 0.455087 + 0.455087i
\(494\) 6.37486 + 4.01296i 0.286819 + 0.180552i
\(495\) 15.7423 2.45838i 0.707562 0.110496i
\(496\) 8.49906i 0.381619i
\(497\) 8.46301 + 8.46301i 0.379618 + 0.379618i
\(498\) 1.03154 0.542166i 0.0462245 0.0242950i
\(499\) −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 \(-0.583543\pi\)
0.965755 + 0.259455i \(0.0835429\pi\)
\(504\) 2.36646 + 1.62935i 0.105410 + 0.0725772i
\(505\) 28.6153 27.0829i 1.27336 1.20517i
\(506\) 6.40143i 0.284578i
\(507\) 13.4423 18.0639i 0.596992 0.802248i
\(508\) 7.66011 + 7.66011i 0.339862 + 0.339862i
\(509\) 4.84314i 0.214668i 0.994223 + 0.107334i \(0.0342314\pi\)
−0.994223 + 0.107334i \(0.965769\pi\)
\(510\) −27.5724 9.41328i −1.22093 0.416827i
\(511\) 5.00576 0.221442
\(512\) 0.707107 0.707107i 0.0312500 0.0312500i
\(513\) −1.28958 + 10.7790i −0.0569364 + 0.475905i
\(514\) −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 \(-0.0116622\pi\)
\(522\) −1.03381 5.60426i −0.0452487 0.245292i
\(523\) 15.2663 + 15.2663i 0.667550 + 0.667550i 0.957148 0.289599i \(-0.0935218\pi\)
−0.289599 + 0.957148i \(0.593522\pi\)
\(524\) 21.9129 0.957269
\(525\) −2.89458 + 7.77253i −0.126330 + 0.339221i
\(526\) 16.3133i 0.711294i
\(527\) 45.2090 45.2090i 1.96934 1.96934i
\(528\) 3.64155 1.91396i 0.158478 0.0832943i
\(529\) 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
\(537\) −13.9131 + 7.31256i −0.600395 + 0.315560i
\(538\) 11.2823 11.2823i 0.486412 0.486412i
\(539\) 14.4476i 0.622302i
\(540\) 6.92779 + 9.32768i 0.298125 + 0.401400i
\(541\) 29.0935i 1.25083i 0.780293 + 0.625414i \(0.215070\pi\)
−0.780293 + 0.625414i \(0.784930\pi\)
\(542\) 19.2022 + 19.2022i 0.824803 + 0.824803i
\(543\) −2.91108 + 1.53003i −0.124926 + 0.0656599i
\(544\) −7.52262 −0.322530
\(545\) 26.3129 + 27.8017i 1.12712 + 1.19089i
\(546\) 3.88711 + 4.54550i 0.166353 + 0.194530i
\(547\) 7.13810 7.13810i 0.305203 0.305203i −0.537842 0.843045i \(-0.680760\pi\)
0.843045 + 0.537842i \(0.180760\pi\)
\(548\) −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
\(552\) 4.13217 2.17182i 0.175877 0.0924387i
\(553\) 0.703733 0.703733i 0.0299258 0.0299258i
\(554\) 15.1199i 0.642384i
\(555\) 6.37721 + 12.9888i 0.270698 + 0.551345i
\(556\) −13.3375 −0.565636
\(557\) −4.94545 + 4.94545i −0.209546 + 0.209546i −0.804074 0.594529i \(-0.797339\pi\)
0.594529 + 0.804074i \(0.297339\pi\)
\(558\) −25.0741 + 4.62539i −1.06147 + 0.195808i
\(559\) −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 \(-0.789458\pi\)
0.614252 + 0.789110i \(0.289458\pi\)
\(564\) 4.86568 + 1.51308i 0.204882 + 0.0637121i
\(565\) 3.54932 + 0.0976482i 0.149321 + 0.00410809i
\(566\) −24.3731 −1.02448
\(567\) −3.51908 + 7.86830i −0.147787 + 0.330438i
\(568\) 8.83670 + 8.83670i 0.370780 + 0.370780i
\(569\) −26.2934 −1.10228 −0.551139 0.834414i \(-0.685806\pi\)
−0.551139 + 0.834414i \(0.685806\pi\)
\(570\) −7.26328 + 3.56610i −0.304225 + 0.149368i
\(571\) 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
\(573\) −11.4952 21.8710i −0.480217 0.913676i
\(574\) 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 0.795689 0.605705i \(-0.207109\pi\)
−0.605705 + 0.795689i \(0.707109\pi\)
\(578\) 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
\(582\) −2.41998 + 1.27191i −0.100311 + 0.0527224i
\(583\) −13.8423 + 13.8423i −0.573290 + 0.573290i
\(584\) 5.22680 0.216286
\(585\) 8.93731 + 22.4750i 0.369512 + 0.929226i
\(586\) −11.8694 −0.490321
\(587\) −0.204915 + 0.204915i −0.00845773 + 0.00845773i −0.711323 0.702865i \(-0.751904\pi\)
0.702865 + 0.711323i \(0.251904\pi\)
\(588\) 9.32603 4.90165i 0.384599 0.202141i
\(589\) 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 \(-0.144253\pi\)
−0.437831 + 0.899057i \(0.644253\pi\)
\(594\) 7.62843 + 9.70178i 0.312998 + 0.398069i
\(595\) 11.7003 11.0737i 0.479665 0.453979i
\(596\) −5.50449 −0.225473
\(597\) 8.25002 + 15.6967i 0.337651 + 0.642425i
\(598\) 9.47567 2.15450i 0.387489 0.0881042i
\(599\) −24.5114 −1.00151 −0.500755 0.865589i \(-0.666944\pi\)
−0.500755 + 0.865589i \(0.666944\pi\)
\(600\) −3.02240 + 8.11573i −0.123389 + 0.331323i
\(601\) 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
\(603\) −35.3715 + 6.52492i −1.44044 + 0.265715i
\(604\) −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 0.153276 0.988183i \(-0.451018\pi\)
0.988183 0.153276i \(-0.0489824\pi\)
\(608\) −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
\(612\) −4.09399 22.1934i −0.165490 0.897116i
\(613\) 27.8570 27.8570i 1.12513 1.12513i 0.134175 0.990958i \(-0.457162\pi\)
0.990958 0.134175i \(-0.0428383\pi\)
\(614\) −21.3722 −0.862512
\(615\) 32.0895 + 10.9554i 1.29397 + 0.441766i
\(616\) 2.27472i 0.0916510i
\(617\) 8.65622 8.65622i 0.348486 0.348486i −0.511059 0.859546i \(-0.670747\pi\)
0.859546 + 0.511059i \(0.170747\pi\)
\(618\) 3.54378 1.86257i 0.142552 0.0749235i
\(619\) 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
\(624\) 4.05875 + 4.74621i 0.162480 + 0.190001i
\(625\) −24.8488 2.74494i −0.993954 0.109798i
\(626\) 8.31197 0.332213
\(627\) −7.60799 + 3.99867i −0.303834 + 0.159692i
\(628\) −6.58993 6.58993i −0.262967 0.262967i
\(629\) 28.1054i 1.12064i
\(630\) −6.34759 + 0.991267i −0.252894 + 0.0394930i
\(631\) 37.6669i 1.49950i −0.661723 0.749749i \(-0.730174\pi\)
0.661723 0.749749i \(-0.269826\pi\)
\(632\) 0.734807 0.734807i 0.0292291 0.0292291i
\(633\) 5.81840 3.05808i 0.231261 0.121548i
\(634\) 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 \(-0.0379762\pi\)
\(642\) 9.81411 5.15818i 0.387332 0.203577i
\(643\) −0.846729 + 0.846729i −0.0333917 + 0.0333917i −0.723606 0.690214i \(-0.757516\pi\)
0.690214 + 0.723606i \(0.257516\pi\)
\(644\) 2.58118i 0.101713i
\(645\) −0.319713 0.651178i −0.0125887 0.0256401i
\(646\) 15.7164 0.618353
\(647\) −3.77881 3.77881i −0.148560 0.148560i 0.628914 0.777475i \(-0.283500\pi\)
−0.777475 + 0.628914i \(0.783500\pi\)
\(648\) −3.67447 + 8.21574i −0.144347 + 0.322745i
\(649\) 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 \(-0.770285\pi\)
0.660639 + 0.750704i \(0.270285\pi\)
\(654\) −8.80466 + 28.3136i −0.344289 + 1.10715i
\(655\) −35.5871 + 33.6814i −1.39050 + 1.31604i
\(656\) 8.75503 0.341827
\(657\) 2.84455 + 15.4202i 0.110976 + 0.601600i
\(658\) −1.99226 + 1.99226i −0.0776665 + 0.0776665i
\(659\) 23.4178 0.912228 0.456114 0.889921i \(-0.349241\pi\)
0.456114 + 0.889921i \(0.349241\pi\)
\(660\) −2.97211 + 8.70559i −0.115689 + 0.338865i
\(661\) 18.6057i 0.723679i 0.932240 + 0.361840i \(0.117851\pi\)
−0.932240 + 0.361840i \(0.882149\pi\)
\(662\) 9.66419 + 9.66419i 0.375610 + 0.375610i
\(663\) 3.65683 46.8362i 0.142020 1.81897i
\(664\) 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
\(672\) −1.46835 + 0.771746i −0.0566427 + 0.0297707i
\(673\) −24.7786 24.7786i −0.955145 0.955145i 0.0438911 0.999036i \(-0.486025\pi\)
−0.999036 + 0.0438911i \(0.986025\pi\)
\(674\) 26.9352i 1.03751i
\(675\) −25.5881 4.49997i −0.984886 0.173204i
\(676\) 5.62108 + 11.7219i 0.216195 + 0.450843i
\(677\) 2.48540 + 2.48540i 0.0955215 + 0.0955215i 0.753253 0.657731i \(-0.228484\pi\)
−0.657731 + 0.753253i \(0.728484\pi\)
\(678\) 1.27957 + 2.43455i 0.0491416 + 0.0934982i
\(679\) 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 0.985623 + 0.168961i \(0.0540413\pi\)
0.168961 + 0.985623i \(0.445959\pi\)
\(684\) −5.16234 3.55438i −0.197387 0.135905i
\(685\) 18.7283 + 0.515249i 0.715571 + 0.0196867i
\(686\) 12.5295i 0.478380i
\(687\) −6.02957 + 3.16907i −0.230043 + 0.120908i
\(688\) −0.132445 0.132445i −0.00504941 0.00504941i
\(689\) −25.1488 15.8311i −0.958095 0.603118i
\(690\) −3.37253 + 9.87846i −0.128390 + 0.376067i
\(691\) 2.84295i 0.108151i 0.998537 + 0.0540754i \(0.0172211\pi\)
−0.998537 + 0.0540754i \(0.982779\pi\)
\(692\) 13.8181 + 13.8181i 0.525285 + 0.525285i
\(693\) −6.71093 + 1.23796i −0.254927 + 0.0470260i
\(694\) −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 \(-0.0484455\pi\)
\(702\) −11.7935 + 14.5572i −0.445118 + 0.549427i
\(703\) −5.51936 5.51936i −0.208167 0.208167i
\(704\) 2.37516i 0.0895172i
\(705\) −10.2277 + 5.02155i −0.385196 + 0.189123i
\(706\) −36.6393 −1.37894
\(707\) −11.9323 + 11.9323i −0.448761 + 0.448761i
\(708\) −17.2443 + 9.06342i −0.648082 + 0.340624i
\(709\) 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
\(717\) −1.25707 2.39174i −0.0469461 0.0893211i
\(718\) 23.0878 + 23.0878i 0.861628 + 0.861628i
\(719\) 9.03729 0.337034 0.168517 0.985699i \(-0.446102\pi\)
0.168517 + 0.985699i \(0.446102\pi\)
\(720\) −6.62787 + 1.03504i −0.247006 + 0.0385735i
\(721\) 2.21364i 0.0824403i
\(722\) −10.3486 + 10.3486i −0.385136 + 0.385136i
\(723\) −6.16731 11.7341i −0.229365 0.436396i
\(724\) 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 −0.499440 + 0.866349i \(0.666461\pi\)
−0.866349 + 0.499440i \(0.833539\pi\)
\(728\) −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
\(732\) 7.48923 + 14.2492i 0.276810 + 0.526667i
\(733\) 33.7479 33.7479i 1.24651 1.24651i 0.289256 0.957252i \(-0.406592\pi\)
0.957252 0.289256i \(-0.0934079\pi\)
\(734\) 2.83009i 0.104460i
\(735\) −7.61158 + 22.2950i −0.280757 + 0.822365i
\(736\) 2.69516i 0.0993447i
\(737\) −20.1361 20.1361i −0.741724 0.741724i
\(738\) 4.76470 + 25.8293i 0.175391 + 0.950790i
\(739\) 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
\(741\) −8.47960 9.91587i −0.311506 0.364268i
\(742\) 5.58149 5.58149i 0.204903 0.204903i
\(743\) 17.2290 + 17.2290i 0.632070 + 0.632070i 0.948587 0.316517i \(-0.102513\pi\)
−0.316517 + 0.948587i \(0.602513\pi\)
\(744\) 4.37125 14.0568i 0.160258 0.515348i
\(745\) 8.93942 8.46071i 0.327515 0.309976i
\(746\) −17.1930 −0.629480
\(747\) −1.98494 + 0.366159i −0.0726252 + 0.0133971i
\(748\) 12.6342 12.6342i 0.461951 0.461951i
\(749\) 6.13044i 0.224001i
\(750\) −7.56590 17.8257i −0.276268 0.650904i
\(751\) 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
\(753\) 3.02488 + 5.75523i 0.110233 + 0.209732i
\(754\) 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 −0.924232 0.381831i \(-0.875293\pi\)
0.381831 + 0.924232i \(0.375293\pi\)
\(758\) −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 \(-0.589627\pi\)
−0.277864 + 0.960620i \(0.589627\pi\)
\(762\) −8.72950 16.6090i −0.316236 0.601681i
\(763\) −11.5931 11.5931i −0.419697 0.419697i
\(764\) 14.2651 0.516094
\(765\) 40.7613 + 29.7500i 1.47373 + 1.07561i
\(766\) −2.42062 −0.0874607
\(767\) −39.5438 + 8.99116i −1.42784 + 0.324652i
\(768\) −1.53318 + 0.805823i −0.0553240 + 0.0290776i
\(769\) 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 \(-0.128179\pi\)
−0.391890 + 0.920012i \(0.628179\pi\)
\(774\) 0.318662 0.462822i 0.0114541 0.0166358i
\(775\)