Properties

Label 91.2.ba.a.54.2
Level $91$
Weight $2$
Character 91.54
Analytic conductor $0.727$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.ba (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(7\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 54.2
Character \(\chi\) \(=\) 91.54
Dual form 91.2.ba.a.59.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.42500 + 1.42500i) q^{2} +(1.25027 + 0.721843i) q^{3} -2.06123i q^{4} +(3.16920 - 0.849184i) q^{5} +(-2.81025 + 0.753004i) q^{6} +(-0.111396 + 2.64341i) q^{7} +(0.0872533 + 0.0872533i) q^{8} +(-0.457887 - 0.793083i) q^{9} +O(q^{10})\) \(q+(-1.42500 + 1.42500i) q^{2} +(1.25027 + 0.721843i) q^{3} -2.06123i q^{4} +(3.16920 - 0.849184i) q^{5} +(-2.81025 + 0.753004i) q^{6} +(-0.111396 + 2.64341i) q^{7} +(0.0872533 + 0.0872533i) q^{8} +(-0.457887 - 0.793083i) q^{9} +(-3.30601 + 5.72618i) q^{10} +(-5.74323 + 1.53889i) q^{11} +(1.48788 - 2.57709i) q^{12} +(2.81021 - 2.25892i) q^{13} +(-3.60810 - 3.92558i) q^{14} +(4.57532 + 1.22595i) q^{15} +3.87379 q^{16} -0.628578 q^{17} +(1.78263 + 0.477654i) q^{18} +(-0.191033 + 0.712944i) q^{19} +(-1.75036 - 6.53244i) q^{20} +(-2.04740 + 3.22455i) q^{21} +(5.99117 - 10.3770i) q^{22} -4.54665i q^{23} +(0.0461069 + 0.172073i) q^{24} +(4.99256 - 2.88246i) q^{25} +(-0.785596 + 7.22349i) q^{26} -5.65314i q^{27} +(5.44867 + 0.229614i) q^{28} +(-1.33622 - 2.31439i) q^{29} +(-8.26680 + 4.77284i) q^{30} +(-0.285936 + 1.06713i) q^{31} +(-5.69464 + 5.69464i) q^{32} +(-8.29142 - 2.22168i) q^{33} +(0.895721 - 0.895721i) q^{34} +(1.89170 + 8.47207i) q^{35} +(-1.63473 + 0.943810i) q^{36} +(1.79007 + 1.79007i) q^{37} +(-0.743721 - 1.28816i) q^{38} +(5.14410 - 0.795719i) q^{39} +(0.350617 + 0.202429i) q^{40} +(-0.746755 + 2.78693i) q^{41} +(-1.67744 - 7.51251i) q^{42} +(3.49297 + 2.01667i) q^{43} +(3.17202 + 11.8381i) q^{44} +(-2.12461 - 2.12461i) q^{45} +(6.47896 + 6.47896i) q^{46} +(-1.90459 - 7.10802i) q^{47} +(4.84328 + 2.79627i) q^{48} +(-6.97518 - 0.588931i) q^{49} +(-3.00689 + 11.2219i) q^{50} +(-0.785891 - 0.453734i) q^{51} +(-4.65615 - 5.79250i) q^{52} +(3.89042 + 6.73840i) q^{53} +(8.05571 + 8.05571i) q^{54} +(-16.8946 + 9.75412i) q^{55} +(-0.240366 + 0.220926i) q^{56} +(-0.753475 + 0.753475i) q^{57} +(5.20211 + 1.39390i) q^{58} +(0.673419 - 0.673419i) q^{59} +(2.52697 - 9.43079i) q^{60} +(-0.943178 + 0.544544i) q^{61} +(-1.11320 - 1.92811i) q^{62} +(2.14745 - 1.12203i) q^{63} -8.48212i q^{64} +(6.98788 - 9.54534i) q^{65} +(14.9811 - 8.64936i) q^{66} +(-1.39678 - 5.21286i) q^{67} +1.29564i q^{68} +(3.28197 - 5.68453i) q^{69} +(-14.7683 - 9.37700i) q^{70} +(0.590023 + 2.20200i) q^{71} +(0.0292470 - 0.109151i) q^{72} +(-5.94515 - 1.59300i) q^{73} -5.10168 q^{74} +8.32273 q^{75} +(1.46954 + 0.393762i) q^{76} +(-3.42815 - 15.3531i) q^{77} +(-6.19643 + 8.46422i) q^{78} +(-6.08299 + 10.5361i) q^{79} +(12.2768 - 3.28956i) q^{80} +(2.70702 - 4.68870i) q^{81} +(-2.90724 - 5.03549i) q^{82} +(3.59152 + 3.59152i) q^{83} +(6.64655 + 4.22016i) q^{84} +(-1.99209 + 0.533778i) q^{85} +(-7.85121 + 2.10373i) q^{86} -3.85815i q^{87} +(-0.635390 - 0.366843i) q^{88} +(-2.88817 + 2.88817i) q^{89} +6.05511 q^{90} +(5.65818 + 7.68017i) q^{91} -9.37170 q^{92} +(-1.12779 + 1.12779i) q^{93} +(12.8429 + 7.41487i) q^{94} +2.42168i q^{95} +(-11.2305 + 3.00919i) q^{96} +(8.41780 - 2.25554i) q^{97} +(10.7788 - 9.10038i) q^{98} +(3.85022 + 3.85022i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - 2q^{2} - 6q^{3} - 6q^{5} - 12q^{6} - 6q^{7} - 4q^{8} + 6q^{9} + O(q^{10}) \) \( 28q - 2q^{2} - 6q^{3} - 6q^{5} - 12q^{6} - 6q^{7} - 4q^{8} + 6q^{9} - 6q^{10} + 2q^{11} - 8q^{12} - 20q^{14} + 10q^{15} + 4q^{16} - 12q^{17} + 2q^{18} + 14q^{19} + 36q^{20} - 6q^{21} - 8q^{22} - 18q^{24} + 24q^{26} + 2q^{28} - 8q^{29} - 30q^{30} - 4q^{31} + 10q^{32} - 12q^{33} - 12q^{34} - 20q^{35} + 54q^{36} - 10q^{37} - 20q^{39} + 48q^{40} - 18q^{41} - 10q^{42} + 48q^{43} - 6q^{44} - 6q^{45} + 24q^{46} - 6q^{47} - 12q^{48} - 50q^{49} + 10q^{50} - 12q^{51} - 26q^{52} + 12q^{53} - 30q^{54} + 6q^{55} + 54q^{56} + 12q^{57} - 46q^{58} + 42q^{59} + 10q^{60} + 30q^{61} + 36q^{62} + 54q^{63} + 28q^{65} + 66q^{66} - 10q^{67} - 42q^{69} - 88q^{70} - 42q^{71} + 46q^{72} + 40q^{73} + 12q^{74} - 40q^{75} - 52q^{76} - 62q^{78} + 4q^{79} + 30q^{80} - 6q^{81} - 54q^{82} + 66q^{83} + 104q^{84} - 54q^{85} - 18q^{86} - 6q^{88} + 72q^{90} + 26q^{91} - 156q^{92} + 20q^{93} - 18q^{94} - 66q^{96} - 62q^{97} - 56q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{1}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.42500 + 1.42500i −1.00762 + 1.00762i −0.00765404 + 0.999971i \(0.502436\pi\)
−0.999971 + 0.00765404i \(0.997564\pi\)
\(3\) 1.25027 + 0.721843i 0.721843 + 0.416756i 0.815430 0.578855i \(-0.196500\pi\)
−0.0935879 + 0.995611i \(0.529834\pi\)
\(4\) 2.06123i 1.03062i
\(5\) 3.16920 0.849184i 1.41731 0.379766i 0.532780 0.846254i \(-0.321147\pi\)
0.884528 + 0.466487i \(0.154481\pi\)
\(6\) −2.81025 + 0.753004i −1.14728 + 0.307413i
\(7\) −0.111396 + 2.64341i −0.0421039 + 0.999113i
\(8\) 0.0872533 + 0.0872533i 0.0308487 + 0.0308487i
\(9\) −0.457887 0.793083i −0.152629 0.264361i
\(10\) −3.30601 + 5.72618i −1.04545 + 1.81078i
\(11\) −5.74323 + 1.53889i −1.73165 + 0.463994i −0.980562 0.196208i \(-0.937137\pi\)
−0.751088 + 0.660202i \(0.770471\pi\)
\(12\) 1.48788 2.57709i 0.429515 0.743942i
\(13\) 2.81021 2.25892i 0.779413 0.626511i
\(14\) −3.60810 3.92558i −0.964306 1.04916i
\(15\) 4.57532 + 1.22595i 1.18134 + 0.316540i
\(16\) 3.87379 0.968447
\(17\) −0.628578 −0.152452 −0.0762262 0.997091i \(-0.524287\pi\)
−0.0762262 + 0.997091i \(0.524287\pi\)
\(18\) 1.78263 + 0.477654i 0.420169 + 0.112584i
\(19\) −0.191033 + 0.712944i −0.0438259 + 0.163561i −0.984371 0.176109i \(-0.943649\pi\)
0.940545 + 0.339670i \(0.110315\pi\)
\(20\) −1.75036 6.53244i −0.391393 1.46070i
\(21\) −2.04740 + 3.22455i −0.446779 + 0.703655i
\(22\) 5.99117 10.3770i 1.27732 2.21239i
\(23\) 4.54665i 0.948043i −0.880513 0.474021i \(-0.842802\pi\)
0.880513 0.474021i \(-0.157198\pi\)
\(24\) 0.0461069 + 0.172073i 0.00941153 + 0.0351243i
\(25\) 4.99256 2.88246i 0.998513 0.576492i
\(26\) −0.785596 + 7.22349i −0.154068 + 1.41664i
\(27\) 5.65314i 1.08795i
\(28\) 5.44867 + 0.229614i 1.02970 + 0.0433929i
\(29\) −1.33622 2.31439i −0.248129 0.429772i 0.714878 0.699250i \(-0.246482\pi\)
−0.963007 + 0.269477i \(0.913149\pi\)
\(30\) −8.26680 + 4.77284i −1.50930 + 0.871397i
\(31\) −0.285936 + 1.06713i −0.0513556 + 0.191662i −0.986838 0.161711i \(-0.948299\pi\)
0.935482 + 0.353373i \(0.114965\pi\)
\(32\) −5.69464 + 5.69464i −1.00668 + 1.00668i
\(33\) −8.29142 2.22168i −1.44335 0.386745i
\(34\) 0.895721 0.895721i 0.153615 0.153615i
\(35\) 1.89170 + 8.47207i 0.319756 + 1.43204i
\(36\) −1.63473 + 0.943810i −0.272454 + 0.157302i
\(37\) 1.79007 + 1.79007i 0.294285 + 0.294285i 0.838770 0.544485i \(-0.183275\pi\)
−0.544485 + 0.838770i \(0.683275\pi\)
\(38\) −0.743721 1.28816i −0.120648 0.208968i
\(39\) 5.14410 0.795719i 0.823715 0.127417i
\(40\) 0.350617 + 0.202429i 0.0554374 + 0.0320068i
\(41\) −0.746755 + 2.78693i −0.116624 + 0.435245i −0.999403 0.0345422i \(-0.989003\pi\)
0.882780 + 0.469787i \(0.155669\pi\)
\(42\) −1.67744 7.51251i −0.258835 1.15921i
\(43\) 3.49297 + 2.01667i 0.532673 + 0.307539i 0.742104 0.670285i \(-0.233828\pi\)
−0.209431 + 0.977823i \(0.567161\pi\)
\(44\) 3.17202 + 11.8381i 0.478200 + 1.78467i
\(45\) −2.12461 2.12461i −0.316718 0.316718i
\(46\) 6.47896 + 6.47896i 0.955271 + 0.955271i
\(47\) −1.90459 7.10802i −0.277813 1.03681i −0.953933 0.300020i \(-0.903007\pi\)
0.676120 0.736791i \(-0.263660\pi\)
\(48\) 4.84328 + 2.79627i 0.699067 + 0.403606i
\(49\) −6.97518 0.588931i −0.996455 0.0841331i
\(50\) −3.00689 + 11.2219i −0.425239 + 1.58701i
\(51\) −0.785891 0.453734i −0.110047 0.0635355i
\(52\) −4.65615 5.79250i −0.645691 0.803275i
\(53\) 3.89042 + 6.73840i 0.534390 + 0.925590i 0.999193 + 0.0401759i \(0.0127918\pi\)
−0.464803 + 0.885414i \(0.653875\pi\)
\(54\) 8.05571 + 8.05571i 1.09624 + 1.09624i
\(55\) −16.8946 + 9.75412i −2.27807 + 1.31525i
\(56\) −0.240366 + 0.220926i −0.0321202 + 0.0295225i
\(57\) −0.753475 + 0.753475i −0.0998002 + 0.0998002i
\(58\) 5.20211 + 1.39390i 0.683070 + 0.183028i
\(59\) 0.673419 0.673419i 0.0876717 0.0876717i −0.661911 0.749583i \(-0.730254\pi\)
0.749583 + 0.661911i \(0.230254\pi\)
\(60\) 2.52697 9.43079i 0.326231 1.21751i
\(61\) −0.943178 + 0.544544i −0.120762 + 0.0697217i −0.559164 0.829057i \(-0.688878\pi\)
0.438402 + 0.898779i \(0.355544\pi\)
\(62\) −1.11320 1.92811i −0.141376 0.244870i
\(63\) 2.14745 1.12203i 0.270553 0.141363i
\(64\) 8.48212i 1.06026i
\(65\) 6.98788 9.54534i 0.866740 1.18395i
\(66\) 14.9811 8.64936i 1.84405 1.06466i
\(67\) −1.39678 5.21286i −0.170644 0.636852i −0.997253 0.0740750i \(-0.976400\pi\)
0.826609 0.562777i \(-0.190267\pi\)
\(68\) 1.29564i 0.157120i
\(69\) 3.28197 5.68453i 0.395102 0.684338i
\(70\) −14.7683 9.37700i −1.76515 1.12077i
\(71\) 0.590023 + 2.20200i 0.0700229 + 0.261329i 0.992059 0.125776i \(-0.0401419\pi\)
−0.922036 + 0.387105i \(0.873475\pi\)
\(72\) 0.0292470 0.109151i 0.00344679 0.0128636i
\(73\) −5.94515 1.59300i −0.695827 0.186446i −0.106466 0.994316i \(-0.533954\pi\)
−0.589361 + 0.807870i \(0.700620\pi\)
\(74\) −5.10168 −0.593058
\(75\) 8.32273 0.961026
\(76\) 1.46954 + 0.393762i 0.168568 + 0.0451677i
\(77\) −3.42815 15.3531i −0.390674 1.74965i
\(78\) −6.19643 + 8.46422i −0.701608 + 0.958385i
\(79\) −6.08299 + 10.5361i −0.684390 + 1.18540i 0.289238 + 0.957257i \(0.406598\pi\)
−0.973628 + 0.228141i \(0.926735\pi\)
\(80\) 12.2768 3.28956i 1.37259 0.367784i
\(81\) 2.70702 4.68870i 0.300780 0.520966i
\(82\) −2.90724 5.03549i −0.321051 0.556076i
\(83\) 3.59152 + 3.59152i 0.394220 + 0.394220i 0.876189 0.481968i \(-0.160078\pi\)
−0.481968 + 0.876189i \(0.660078\pi\)
\(84\) 6.64655 + 4.22016i 0.725198 + 0.460457i
\(85\) −1.99209 + 0.533778i −0.216072 + 0.0578963i
\(86\) −7.85121 + 2.10373i −0.846618 + 0.226851i
\(87\) 3.85815i 0.413637i
\(88\) −0.635390 0.366843i −0.0677328 0.0391055i
\(89\) −2.88817 + 2.88817i −0.306146 + 0.306146i −0.843412 0.537267i \(-0.819457\pi\)
0.537267 + 0.843412i \(0.319457\pi\)
\(90\) 6.05511 0.638265
\(91\) 5.65818 + 7.68017i 0.593139 + 0.805100i
\(92\) −9.37170 −0.977067
\(93\) −1.12779 + 1.12779i −0.116947 + 0.116947i
\(94\) 12.8429 + 7.41487i 1.32465 + 0.764786i
\(95\) 2.42168i 0.248459i
\(96\) −11.2305 + 3.00919i −1.14620 + 0.307125i
\(97\) 8.41780 2.25554i 0.854698 0.229016i 0.195239 0.980756i \(-0.437452\pi\)
0.659460 + 0.751740i \(0.270785\pi\)
\(98\) 10.7788 9.10038i 1.08883 0.919278i
\(99\) 3.85022 + 3.85022i 0.386962 + 0.386962i
\(100\) −5.94141 10.2908i −0.594141 1.02908i
\(101\) −8.58758 + 14.8741i −0.854496 + 1.48003i 0.0226160 + 0.999744i \(0.492800\pi\)
−0.877112 + 0.480286i \(0.840533\pi\)
\(102\) 1.76646 0.473322i 0.174906 0.0468658i
\(103\) −7.19481 + 12.4618i −0.708926 + 1.22790i 0.256330 + 0.966589i \(0.417487\pi\)
−0.965256 + 0.261306i \(0.915847\pi\)
\(104\) 0.442298 + 0.0481025i 0.0433709 + 0.00471684i
\(105\) −3.75037 + 11.9579i −0.365998 + 1.16697i
\(106\) −15.1460 4.05836i −1.47111 0.394183i
\(107\) 3.12072 0.301691 0.150846 0.988557i \(-0.451800\pi\)
0.150846 + 0.988557i \(0.451800\pi\)
\(108\) −11.6524 −1.12126
\(109\) −9.17711 2.45900i −0.879008 0.235529i −0.209029 0.977909i \(-0.567030\pi\)
−0.669979 + 0.742380i \(0.733697\pi\)
\(110\) 10.1752 37.9744i 0.970168 3.62071i
\(111\) 0.945917 + 3.53021i 0.0897825 + 0.335073i
\(112\) −0.431526 + 10.2400i −0.0407754 + 0.967589i
\(113\) 1.34080 2.32234i 0.126132 0.218467i −0.796043 0.605240i \(-0.793077\pi\)
0.922175 + 0.386773i \(0.126410\pi\)
\(114\) 2.14740i 0.201122i
\(115\) −3.86094 14.4092i −0.360035 1.34367i
\(116\) −4.77050 + 2.75425i −0.442930 + 0.255726i
\(117\) −3.07827 1.19440i −0.284586 0.110423i
\(118\) 1.91924i 0.176680i
\(119\) 0.0700213 1.66159i 0.00641884 0.152317i
\(120\) 0.292243 + 0.506181i 0.0266781 + 0.0462077i
\(121\) 21.0903 12.1765i 1.91730 1.10695i
\(122\) 0.568052 2.12000i 0.0514290 0.191936i
\(123\) −2.94537 + 2.94537i −0.265575 + 0.265575i
\(124\) 2.19960 + 0.589380i 0.197530 + 0.0529279i
\(125\) 1.77462 1.77462i 0.158727 0.158727i
\(126\) −1.46121 + 4.65900i −0.130175 + 0.415056i
\(127\) −4.93218 + 2.84760i −0.437661 + 0.252683i −0.702605 0.711580i \(-0.747980\pi\)
0.264944 + 0.964264i \(0.414646\pi\)
\(128\) 0.697699 + 0.697699i 0.0616685 + 0.0616685i
\(129\) 2.91143 + 5.04275i 0.256337 + 0.443989i
\(130\) 3.64436 + 23.5598i 0.319632 + 2.06633i
\(131\) 15.1645 + 8.75520i 1.32492 + 0.764946i 0.984510 0.175329i \(-0.0560991\pi\)
0.340415 + 0.940275i \(0.389432\pi\)
\(132\) −4.57939 + 17.0905i −0.398585 + 1.48754i
\(133\) −1.86332 0.584396i −0.161570 0.0506736i
\(134\) 9.41872 + 5.43790i 0.813653 + 0.469763i
\(135\) −4.80056 17.9159i −0.413166 1.54196i
\(136\) −0.0548455 0.0548455i −0.00470296 0.00470296i
\(137\) 10.3658 + 10.3658i 0.885611 + 0.885611i 0.994098 0.108487i \(-0.0346005\pi\)
−0.108487 + 0.994098i \(0.534600\pi\)
\(138\) 3.42365 + 12.7772i 0.291440 + 1.08767i
\(139\) 3.10457 + 1.79243i 0.263327 + 0.152032i 0.625851 0.779943i \(-0.284752\pi\)
−0.362525 + 0.931974i \(0.618085\pi\)
\(140\) 17.4629 3.89923i 1.47588 0.329545i
\(141\) 2.74963 10.2617i 0.231560 0.864195i
\(142\) −3.97862 2.29706i −0.333878 0.192765i
\(143\) −12.6635 + 17.2981i −1.05897 + 1.44654i
\(144\) −1.77376 3.07224i −0.147813 0.256020i
\(145\) −6.20008 6.20008i −0.514888 0.514888i
\(146\) 10.7418 6.20180i 0.889001 0.513265i
\(147\) −8.29573 5.77131i −0.684220 0.476009i
\(148\) 3.68974 3.68974i 0.303295 0.303295i
\(149\) −13.8632 3.71462i −1.13571 0.304314i −0.358487 0.933535i \(-0.616707\pi\)
−0.777226 + 0.629221i \(0.783374\pi\)
\(150\) −11.8599 + 11.8599i −0.968353 + 0.968353i
\(151\) 6.15509 22.9711i 0.500894 1.86936i 0.00676075 0.999977i \(-0.497848\pi\)
0.494134 0.869386i \(-0.335485\pi\)
\(152\) −0.0788749 + 0.0455385i −0.00639760 + 0.00369366i
\(153\) 0.287817 + 0.498514i 0.0232687 + 0.0403025i
\(154\) 26.7632 + 16.9930i 2.15664 + 1.36934i
\(155\) 3.62475i 0.291147i
\(156\) −1.64016 10.6032i −0.131318 0.848934i
\(157\) 6.58929 3.80433i 0.525882 0.303618i −0.213456 0.976953i \(-0.568472\pi\)
0.739338 + 0.673334i \(0.235139\pi\)
\(158\) −6.34560 23.6821i −0.504829 1.88405i
\(159\) 11.2331i 0.890840i
\(160\) −13.2116 + 22.8832i −1.04447 + 1.80908i
\(161\) 12.0186 + 0.506481i 0.947202 + 0.0399163i
\(162\) 2.82388 + 10.5389i 0.221865 + 0.828012i
\(163\) −0.665670 + 2.48431i −0.0521393 + 0.194586i −0.987083 0.160210i \(-0.948783\pi\)
0.934944 + 0.354796i \(0.115450\pi\)
\(164\) 5.74450 + 1.53923i 0.448570 + 0.120194i
\(165\) −28.1638 −2.19255
\(166\) −10.2358 −0.794452
\(167\) 3.28638 + 0.880582i 0.254308 + 0.0681415i 0.383720 0.923449i \(-0.374643\pi\)
−0.129413 + 0.991591i \(0.541309\pi\)
\(168\) −0.459995 + 0.102711i −0.0354894 + 0.00792431i
\(169\) 2.79460 12.6961i 0.214969 0.976621i
\(170\) 2.07808 3.59935i 0.159382 0.276057i
\(171\) 0.652895 0.174943i 0.0499281 0.0133782i
\(172\) 4.15682 7.19982i 0.316954 0.548981i
\(173\) −7.02517 12.1680i −0.534114 0.925113i −0.999206 0.0398501i \(-0.987312\pi\)
0.465092 0.885263i \(-0.346021\pi\)
\(174\) 5.49785 + 5.49785i 0.416791 + 0.416791i
\(175\) 7.06335 + 13.5185i 0.533939 + 1.02190i
\(176\) −22.2481 + 5.96136i −1.67701 + 0.449354i
\(177\) 1.32806 0.355852i 0.0998228 0.0267474i
\(178\) 8.23128i 0.616960i
\(179\) −12.9578 7.48119i −0.968512 0.559170i −0.0697295 0.997566i \(-0.522214\pi\)
−0.898782 + 0.438395i \(0.855547\pi\)
\(180\) −4.37930 + 4.37930i −0.326414 + 0.326414i
\(181\) −15.4409 −1.14772 −0.573858 0.818955i \(-0.694554\pi\)
−0.573858 + 0.818955i \(0.694554\pi\)
\(182\) −19.0071 2.88132i −1.40890 0.213578i
\(183\) −1.57230 −0.116228
\(184\) 0.396711 0.396711i 0.0292459 0.0292459i
\(185\) 7.19317 + 4.15298i 0.528852 + 0.305333i
\(186\) 3.21421i 0.235677i
\(187\) 3.61007 0.967315i 0.263994 0.0707371i
\(188\) −14.6513 + 3.92580i −1.06855 + 0.286318i
\(189\) 14.9435 + 0.629740i 1.08698 + 0.0458068i
\(190\) −3.45089 3.45089i −0.250354 0.250354i
\(191\) 8.57746 + 14.8566i 0.620643 + 1.07499i 0.989366 + 0.145446i \(0.0464617\pi\)
−0.368723 + 0.929539i \(0.620205\pi\)
\(192\) 6.12275 10.6049i 0.441872 0.765344i
\(193\) 5.92369 1.58725i 0.426396 0.114253i −0.0392377 0.999230i \(-0.512493\pi\)
0.465634 + 0.884977i \(0.345826\pi\)
\(194\) −8.78120 + 15.2095i −0.630453 + 1.09198i
\(195\) 15.6270 6.89008i 1.11907 0.493409i
\(196\) −1.21392 + 14.3775i −0.0867088 + 1.02696i
\(197\) 24.7906 + 6.64263i 1.76626 + 0.473268i 0.987971 0.154640i \(-0.0494219\pi\)
0.778288 + 0.627908i \(0.216089\pi\)
\(198\) −10.9731 −0.779825
\(199\) 8.72738 0.618667 0.309334 0.950954i \(-0.399894\pi\)
0.309334 + 0.950954i \(0.399894\pi\)
\(200\) 0.687122 + 0.184114i 0.0485869 + 0.0130188i
\(201\) 2.01651 7.52573i 0.142234 0.530824i
\(202\) −8.95830 33.4328i −0.630304 2.35233i
\(203\) 6.26673 3.27435i 0.439838 0.229814i
\(204\) −0.935251 + 1.61990i −0.0654806 + 0.113416i
\(205\) 9.46645i 0.661166i
\(206\) −7.50541 28.0106i −0.522927 1.95159i
\(207\) −3.60587 + 2.08185i −0.250625 + 0.144699i
\(208\) 10.8862 8.75057i 0.754820 0.606743i
\(209\) 4.38858i 0.303565i
\(210\) −11.6957 22.3842i −0.807077 1.54465i
\(211\) −5.41370 9.37680i −0.372694 0.645525i 0.617285 0.786740i \(-0.288233\pi\)
−0.989979 + 0.141214i \(0.954899\pi\)
\(212\) 13.8894 8.01904i 0.953927 0.550750i
\(213\) −0.851808 + 3.17899i −0.0583649 + 0.217821i
\(214\) −4.44701 + 4.44701i −0.303991 + 0.303991i
\(215\) 12.7824 + 3.42504i 0.871754 + 0.233586i
\(216\) 0.493256 0.493256i 0.0335618 0.0335618i
\(217\) −2.78900 0.874719i −0.189330 0.0593798i
\(218\) 16.5814 9.57329i 1.12304 0.648385i
\(219\) −6.28314 6.28314i −0.424575 0.424575i
\(220\) 20.1055 + 34.8237i 1.35551 + 2.34782i
\(221\) −1.76644 + 1.41990i −0.118823 + 0.0955131i
\(222\) −6.37847 3.68261i −0.428095 0.247161i
\(223\) 2.01754 7.52957i 0.135105 0.504217i −0.864893 0.501957i \(-0.832614\pi\)
0.999997 0.00226068i \(-0.000719598\pi\)
\(224\) −14.4189 15.6876i −0.963402 1.04817i
\(225\) −4.57206 2.63968i −0.304804 0.175979i
\(226\) 1.39869 + 5.21997i 0.0930392 + 0.347227i
\(227\) −10.0802 10.0802i −0.669045 0.669045i 0.288450 0.957495i \(-0.406860\pi\)
−0.957495 + 0.288450i \(0.906860\pi\)
\(228\) 1.55309 + 1.55309i 0.102856 + 0.102856i
\(229\) 2.95351 + 11.0227i 0.195174 + 0.728398i 0.992222 + 0.124482i \(0.0397269\pi\)
−0.797048 + 0.603916i \(0.793606\pi\)
\(230\) 26.0349 + 15.0313i 1.71669 + 0.991133i
\(231\) 6.79643 21.6701i 0.447172 1.42579i
\(232\) 0.0853493 0.318528i 0.00560346 0.0209124i
\(233\) 18.9544 + 10.9433i 1.24175 + 0.716922i 0.969450 0.245291i \(-0.0788835\pi\)
0.272297 + 0.962213i \(0.412217\pi\)
\(234\) 6.08854 2.68450i 0.398020 0.175491i
\(235\) −12.0720 20.9094i −0.787492 1.36398i
\(236\) −1.38807 1.38807i −0.0903557 0.0903557i
\(237\) −15.2107 + 8.78193i −0.988044 + 0.570448i
\(238\) 2.26797 + 2.46753i 0.147011 + 0.159946i
\(239\) 3.79044 3.79044i 0.245183 0.245183i −0.573807 0.818990i \(-0.694534\pi\)
0.818990 + 0.573807i \(0.194534\pi\)
\(240\) 17.7238 + 4.74909i 1.14407 + 0.306552i
\(241\) −11.0392 + 11.0392i −0.711097 + 0.711097i −0.966765 0.255668i \(-0.917705\pi\)
0.255668 + 0.966765i \(0.417705\pi\)
\(242\) −12.7021 + 47.4050i −0.816523 + 3.04731i
\(243\) −7.91830 + 4.57163i −0.507959 + 0.293270i
\(244\) 1.12243 + 1.94411i 0.0718563 + 0.124459i
\(245\) −22.6058 + 4.05677i −1.44423 + 0.259178i
\(246\) 8.39427i 0.535199i
\(247\) 1.07364 + 2.43505i 0.0683139 + 0.154939i
\(248\) −0.118059 + 0.0681616i −0.00749677 + 0.00432826i
\(249\) 1.89785 + 7.08287i 0.120271 + 0.448858i
\(250\) 5.05765i 0.319874i
\(251\) −2.30694 + 3.99573i −0.145612 + 0.252208i −0.929601 0.368567i \(-0.879849\pi\)
0.783989 + 0.620775i \(0.213182\pi\)
\(252\) −2.31277 4.42638i −0.145691 0.278836i
\(253\) 6.99682 + 26.1125i 0.439886 + 1.64168i
\(254\) 2.97053 11.0862i 0.186388 0.695608i
\(255\) −2.87595 0.770607i −0.180099 0.0482573i
\(256\) 14.9758 0.935987
\(257\) 15.6656 0.977191 0.488596 0.872510i \(-0.337509\pi\)
0.488596 + 0.872510i \(0.337509\pi\)
\(258\) −11.3347 3.03712i −0.705666 0.189083i
\(259\) −4.93128 + 4.53247i −0.306415 + 0.281634i
\(260\) −19.6751 14.4036i −1.22020 0.893276i
\(261\) −1.22367 + 2.11946i −0.0757434 + 0.131191i
\(262\) −34.0854 + 9.13317i −2.10581 + 0.564249i
\(263\) 11.9554 20.7074i 0.737203 1.27687i −0.216547 0.976272i \(-0.569479\pi\)
0.953750 0.300601i \(-0.0971872\pi\)
\(264\) −0.529605 0.917303i −0.0325949 0.0564561i
\(265\) 18.0516 + 18.0516i 1.10890 + 1.10890i
\(266\) 3.48799 1.82246i 0.213862 0.111742i
\(267\) −5.69580 + 1.52618i −0.348577 + 0.0934010i
\(268\) −10.7449 + 2.87909i −0.656350 + 0.175868i
\(269\) 13.5339i 0.825177i −0.910918 0.412588i \(-0.864625\pi\)
0.910918 0.412588i \(-0.135375\pi\)
\(270\) 32.3709 + 18.6893i 1.97003 + 1.13740i
\(271\) 15.3119 15.3119i 0.930129 0.930129i −0.0675846 0.997714i \(-0.521529\pi\)
0.997714 + 0.0675846i \(0.0215292\pi\)
\(272\) −2.43498 −0.147642
\(273\) 1.53037 + 13.6866i 0.0926224 + 0.828350i
\(274\) −29.5425 −1.78473
\(275\) −24.2377 + 24.2377i −1.46159 + 1.46159i
\(276\) −11.7171 6.76489i −0.705289 0.407199i
\(277\) 21.4166i 1.28680i 0.765531 + 0.643399i \(0.222476\pi\)
−0.765531 + 0.643399i \(0.777524\pi\)
\(278\) −6.97821 + 1.86981i −0.418525 + 0.112143i
\(279\) 0.977247 0.261853i 0.0585063 0.0156767i
\(280\) −0.574159 + 0.904273i −0.0343126 + 0.0540406i
\(281\) 0.874765 + 0.874765i 0.0521841 + 0.0521841i 0.732717 0.680533i \(-0.238252\pi\)
−0.680533 + 0.732717i \(0.738252\pi\)
\(282\) 10.7047 + 18.5412i 0.637458 + 1.10411i
\(283\) 9.23061 15.9879i 0.548703 0.950381i −0.449661 0.893199i \(-0.648455\pi\)
0.998364 0.0571816i \(-0.0182114\pi\)
\(284\) 4.53882 1.21617i 0.269330 0.0721667i
\(285\) −1.74807 + 3.02775i −0.103547 + 0.179348i
\(286\) −6.60433 42.6952i −0.390522 2.52462i
\(287\) −7.28379 2.28443i −0.429949 0.134846i
\(288\) 7.12383 + 1.90882i 0.419775 + 0.112479i
\(289\) −16.6049 −0.976758
\(290\) 17.6702 1.03763
\(291\) 12.1527 + 3.25629i 0.712401 + 0.190887i
\(292\) −3.28354 + 12.2543i −0.192154 + 0.717130i
\(293\) −3.21602 12.0024i −0.187882 0.701186i −0.993995 0.109424i \(-0.965099\pi\)
0.806113 0.591762i \(-0.201567\pi\)
\(294\) 20.0455 3.59730i 1.16908 0.209799i
\(295\) 1.56234 2.70605i 0.0909629 0.157552i
\(296\) 0.312379i 0.0181566i
\(297\) 8.69959 + 32.4673i 0.504802 + 1.88395i
\(298\) 25.0483 14.4616i 1.45101 0.837739i
\(299\) −10.2705 12.7771i −0.593959 0.738917i
\(300\) 17.1551i 0.990448i
\(301\) −5.71997 + 9.00869i −0.329694 + 0.519252i
\(302\) 23.9628 + 41.5048i 1.37890 + 2.38833i
\(303\) −21.4735 + 12.3978i −1.23362 + 0.712233i
\(304\) −0.740021 + 2.76179i −0.0424431 + 0.158400i
\(305\) −2.52670 + 2.52670i −0.144678 + 0.144678i
\(306\) −1.12052 0.300242i −0.0640559 0.0171637i
\(307\) 3.51390 3.51390i 0.200549 0.200549i −0.599686 0.800235i \(-0.704708\pi\)
0.800235 + 0.599686i \(0.204708\pi\)
\(308\) −31.6463 + 7.06620i −1.80322 + 0.402634i
\(309\) −17.9909 + 10.3870i −1.02347 + 0.590898i
\(310\) −5.16526 5.16526i −0.293367 0.293367i
\(311\) −9.18303 15.9055i −0.520722 0.901916i −0.999710 0.0240949i \(-0.992330\pi\)
0.478988 0.877821i \(-0.341004\pi\)
\(312\) 0.518269 + 0.379411i 0.0293412 + 0.0214799i
\(313\) 7.78607 + 4.49529i 0.440095 + 0.254089i 0.703638 0.710559i \(-0.251558\pi\)
−0.263543 + 0.964648i \(0.584891\pi\)
\(314\) −3.96856 + 14.8109i −0.223959 + 0.835825i
\(315\) 5.85287 5.37952i 0.329772 0.303102i
\(316\) 21.7172 + 12.5385i 1.22169 + 0.705343i
\(317\) 3.72880 + 13.9161i 0.209430 + 0.781605i 0.988053 + 0.154113i \(0.0492519\pi\)
−0.778623 + 0.627492i \(0.784081\pi\)
\(318\) −16.0071 16.0071i −0.897633 0.897633i
\(319\) 11.2358 + 11.2358i 0.629085 + 0.629085i
\(320\) −7.20287 26.8815i −0.402653 1.50272i
\(321\) 3.90173 + 2.25267i 0.217773 + 0.125732i
\(322\) −17.8483 + 16.4048i −0.994645 + 0.914203i
\(323\) 0.120079 0.448141i 0.00668137 0.0249352i
\(324\) −9.66448 5.57979i −0.536916 0.309988i
\(325\) 7.51894 19.3781i 0.417076 1.07490i
\(326\) −2.59156 4.48871i −0.143533 0.248607i
\(327\) −9.69884 9.69884i −0.536347 0.536347i
\(328\) −0.308326 + 0.178012i −0.0170244 + 0.00982906i
\(329\) 19.0015 4.24279i 1.04759 0.233913i
\(330\) 40.1333 40.1333i 2.20926 2.20926i
\(331\) −7.90514 2.11818i −0.434506 0.116426i 0.0349345 0.999390i \(-0.488878\pi\)
−0.469441 + 0.882964i \(0.655544\pi\)
\(332\) 7.40294 7.40294i 0.406289 0.406289i
\(333\) 0.600024 2.23932i 0.0328811 0.122714i
\(334\) −5.93790 + 3.42825i −0.324908 + 0.187586i
\(335\) −8.85335 15.3345i −0.483710 0.837811i
\(336\) −7.93119 + 12.4912i −0.432682 + 0.681453i
\(337\) 1.63832i 0.0892447i −0.999004 0.0446224i \(-0.985792\pi\)
0.999004 0.0446224i \(-0.0142085\pi\)
\(338\) 14.1096 + 22.0741i 0.767459 + 1.20068i
\(339\) 3.35273 1.93570i 0.182095 0.105133i
\(340\) 1.10024 + 4.10615i 0.0596688 + 0.222687i
\(341\) 6.56879i 0.355720i
\(342\) −0.681080 + 1.17967i −0.0368286 + 0.0637890i
\(343\) 2.33379 18.3726i 0.126013 0.992029i
\(344\) 0.128812 + 0.480734i 0.00694510 + 0.0259194i
\(345\) 5.57399 20.8024i 0.300093 1.11996i
\(346\) 27.3501 + 7.32845i 1.47035 + 0.393980i
\(347\) −9.63134 −0.517037 −0.258519 0.966006i \(-0.583234\pi\)
−0.258519 + 0.966006i \(0.583234\pi\)
\(348\) −7.95254 −0.426301
\(349\) −28.4665 7.62758i −1.52378 0.408295i −0.602794 0.797897i \(-0.705946\pi\)
−0.920983 + 0.389602i \(0.872613\pi\)
\(350\) −29.3290 9.19852i −1.56770 0.491681i
\(351\) −12.7700 15.8865i −0.681611 0.847961i
\(352\) 23.9422 41.4691i 1.27612 2.21031i
\(353\) 15.4405 4.13727i 0.821814 0.220205i 0.176675 0.984269i \(-0.443466\pi\)
0.645140 + 0.764065i \(0.276799\pi\)
\(354\) −1.38539 + 2.39956i −0.0736326 + 0.127535i
\(355\) 3.73980 + 6.47752i 0.198488 + 0.343791i
\(356\) 5.95319 + 5.95319i 0.315519 + 0.315519i
\(357\) 1.28695 2.02688i 0.0681125 0.107274i
\(358\) 29.1255 7.80415i 1.53933 0.412462i
\(359\) 5.55095 1.48737i 0.292968 0.0785005i −0.109342 0.994004i \(-0.534874\pi\)
0.402309 + 0.915504i \(0.368208\pi\)
\(360\) 0.370758i 0.0195407i
\(361\) 15.9827 + 9.22761i 0.841194 + 0.485664i
\(362\) 22.0033 22.0033i 1.15647 1.15647i
\(363\) 35.1580 1.84531
\(364\) 15.8306 11.6628i 0.829749 0.611298i
\(365\) −20.1941 −1.05701
\(366\) 2.24052 2.24052i 0.117114 0.117114i
\(367\) 22.0499 + 12.7305i 1.15099 + 0.664527i 0.949129 0.314887i \(-0.101966\pi\)
0.201865 + 0.979413i \(0.435300\pi\)
\(368\) 17.6128i 0.918129i
\(369\) 2.55219 0.683858i 0.132862 0.0356002i
\(370\) −16.1682 + 4.33226i −0.840546 + 0.225224i
\(371\) −18.2457 + 9.53331i −0.947269 + 0.494945i
\(372\) 2.32465 + 2.32465i 0.120527 + 0.120527i
\(373\) −9.35778 16.2082i −0.484528 0.839227i 0.515314 0.857001i \(-0.327675\pi\)
−0.999842 + 0.0177746i \(0.994342\pi\)
\(374\) −3.76592 + 6.52276i −0.194731 + 0.337284i
\(375\) 3.49974 0.937753i 0.180726 0.0484254i
\(376\) 0.454017 0.786380i 0.0234141 0.0405545i
\(377\) −8.98308 3.48554i −0.462652 0.179515i
\(378\) −22.1919 + 20.3971i −1.14143 + 1.04912i
\(379\) −20.5112 5.49596i −1.05359 0.282309i −0.309856 0.950784i \(-0.600281\pi\)
−0.743735 + 0.668475i \(0.766947\pi\)
\(380\) 4.99164 0.256066
\(381\) −8.22207 −0.421229
\(382\) −33.3934 8.94774i −1.70856 0.457806i
\(383\) −8.39979 + 31.3484i −0.429209 + 1.60183i 0.325347 + 0.945595i \(0.394519\pi\)
−0.754556 + 0.656236i \(0.772148\pi\)
\(384\) 0.368682 + 1.37594i 0.0188142 + 0.0702157i
\(385\) −23.9021 45.7459i −1.21816 2.33143i
\(386\) −6.17941 + 10.7031i −0.314524 + 0.544771i
\(387\) 3.69362i 0.187757i
\(388\) −4.64919 17.3510i −0.236027 0.880865i
\(389\) 6.03084 3.48191i 0.305776 0.176540i −0.339259 0.940693i \(-0.610176\pi\)
0.645035 + 0.764153i \(0.276843\pi\)
\(390\) −12.4500 + 32.0867i −0.630431 + 1.62477i
\(391\) 2.85792i 0.144531i
\(392\) −0.557222 0.659994i −0.0281439 0.0333347i
\(393\) 12.6398 + 21.8927i 0.637591 + 1.10434i
\(394\) −44.7923 + 25.8608i −2.25660 + 1.30285i
\(395\) −10.3312 + 38.5564i −0.519817 + 1.93998i
\(396\) 7.93619 7.93619i 0.398809 0.398809i
\(397\) −14.4310 3.86677i −0.724270 0.194068i −0.122194 0.992506i \(-0.538993\pi\)
−0.602076 + 0.798439i \(0.705660\pi\)
\(398\) −12.4365 + 12.4365i −0.623384 + 0.623384i
\(399\) −1.90781 2.07567i −0.0955098 0.103914i
\(400\) 19.3401 11.1660i 0.967007 0.558302i
\(401\) 17.0943 + 17.0943i 0.853649 + 0.853649i 0.990581 0.136932i \(-0.0437241\pi\)
−0.136932 + 0.990581i \(0.543724\pi\)
\(402\) 7.85061 + 13.5977i 0.391553 + 0.678190i
\(403\) 1.60701 + 3.64476i 0.0800509 + 0.181559i
\(404\) 30.6590 + 17.7010i 1.52534 + 0.880657i
\(405\) 4.59751 17.1582i 0.228452 0.852595i
\(406\) −4.26414 + 13.5960i −0.211626 + 0.674758i
\(407\) −13.0355 7.52605i −0.646146 0.373052i
\(408\) −0.0289818 0.108161i −0.00143481 0.00535479i
\(409\) −26.5396 26.5396i −1.31230 1.31230i −0.919718 0.392580i \(-0.871583\pi\)
−0.392580 0.919718i \(-0.628417\pi\)
\(410\) −13.4897 13.4897i −0.666207 0.666207i
\(411\) 5.47756 + 20.4425i 0.270188 + 1.00836i
\(412\) 25.6866 + 14.8302i 1.26549 + 0.730630i
\(413\) 1.70510 + 1.85513i 0.0839026 + 0.0912852i
\(414\) 2.17172 8.10499i 0.106734 0.398338i
\(415\) 14.4321 + 8.33236i 0.708443 + 0.409020i
\(416\) −3.13944 + 28.8669i −0.153924 + 1.41532i
\(417\) 2.58770 + 4.48203i 0.126720 + 0.219486i
\(418\) 6.25371 + 6.25371i 0.305879 + 0.305879i
\(419\) 7.05130 4.07107i 0.344478 0.198885i −0.317772 0.948167i \(-0.602935\pi\)
0.662251 + 0.749282i \(0.269601\pi\)
\(420\) 24.6479 + 7.73037i 1.20269 + 0.377203i
\(421\) 2.46118 2.46118i 0.119951 0.119951i −0.644583 0.764534i \(-0.722969\pi\)
0.764534 + 0.644583i \(0.222969\pi\)
\(422\) 21.0764 + 5.64740i 1.02598 + 0.274911i
\(423\) −4.76516 + 4.76516i −0.231690 + 0.231690i
\(424\) −0.248496 + 0.927399i −0.0120680 + 0.0450385i
\(425\) −3.13822 + 1.81185i −0.152226 + 0.0878876i
\(426\) −3.31623 5.74387i −0.160672 0.278292i
\(427\) −1.33438 2.55386i −0.0645754 0.123590i
\(428\) 6.43252i 0.310927i
\(429\) −28.3192 + 12.4862i −1.36727 + 0.602841i
\(430\) −23.0956 + 13.3342i −1.11377 + 0.643034i
\(431\) −3.96452 14.7958i −0.190964 0.712688i −0.993275 0.115781i \(-0.963063\pi\)
0.802310 0.596907i \(-0.203604\pi\)
\(432\) 21.8991i 1.05362i
\(433\) −6.16396 + 10.6763i −0.296221 + 0.513070i −0.975268 0.221025i \(-0.929060\pi\)
0.679047 + 0.734095i \(0.262393\pi\)
\(434\) 5.22078 2.72784i 0.250606 0.130941i
\(435\) −3.27628 12.2272i −0.157086 0.586251i
\(436\) −5.06856 + 18.9161i −0.242740 + 0.905919i
\(437\) 3.24151 + 0.868559i 0.155062 + 0.0415488i
\(438\) 17.9069 0.855625
\(439\) −7.77197 −0.370936 −0.185468 0.982650i \(-0.559380\pi\)
−0.185468 + 0.982650i \(0.559380\pi\)
\(440\) −2.32519 0.623033i −0.110849 0.0297019i
\(441\) 2.72677 + 5.80156i 0.129846 + 0.276265i
\(442\) 0.493808 4.54053i 0.0234881 0.215971i
\(443\) −3.14950 + 5.45509i −0.149637 + 0.259179i −0.931093 0.364781i \(-0.881144\pi\)
0.781456 + 0.623960i \(0.214477\pi\)
\(444\) 7.27658 1.94975i 0.345331 0.0925312i
\(445\) −6.70060 + 11.6058i −0.317639 + 0.550167i
\(446\) 7.85462 + 13.6046i 0.371927 + 0.644196i
\(447\) −14.6513 14.6513i −0.692982 0.692982i
\(448\) 22.4217 + 0.944877i 1.05932 + 0.0446412i
\(449\) 14.6362 3.92175i 0.690723 0.185079i 0.103651 0.994614i \(-0.466947\pi\)
0.587072 + 0.809535i \(0.300281\pi\)
\(450\) 10.2767 2.75363i 0.484448 0.129808i
\(451\) 17.1552i 0.807805i
\(452\) −4.78688 2.76370i −0.225156 0.129994i
\(453\) 24.2770 24.2770i 1.14064 1.14064i
\(454\) 28.7285 1.34829
\(455\) 24.4538 + 19.5351i 1.14641 + 0.915821i
\(456\) −0.131486 −0.00615742
\(457\) 10.9957 10.9957i 0.514356 0.514356i −0.401502 0.915858i \(-0.631512\pi\)
0.915858 + 0.401502i \(0.131512\pi\)
\(458\) −19.9160 11.4985i −0.930613 0.537290i
\(459\) 3.55344i 0.165860i
\(460\) −29.7008 + 7.95829i −1.38480 + 0.371057i
\(461\) −29.6778 + 7.95214i −1.38223 + 0.370368i −0.871931 0.489628i \(-0.837133\pi\)
−0.510301 + 0.859996i \(0.670466\pi\)
\(462\) 21.1949 + 40.5647i 0.986077 + 1.88724i
\(463\) −4.11310 4.11310i −0.191152 0.191152i 0.605042 0.796194i \(-0.293156\pi\)
−0.796194 + 0.605042i \(0.793156\pi\)
\(464\) −5.17622 8.96548i −0.240300 0.416212i
\(465\) −2.61650 + 4.53191i −0.121337 + 0.210162i
\(466\) −42.6042 + 11.4158i −1.97360 + 0.528825i
\(467\) 4.08246 7.07102i 0.188913 0.327208i −0.755975 0.654601i \(-0.772837\pi\)
0.944888 + 0.327393i \(0.106170\pi\)
\(468\) −2.46194 + 6.34502i −0.113803 + 0.293299i
\(469\) 13.9353 3.11157i 0.643472 0.143679i
\(470\) 46.9984 + 12.5932i 2.16787 + 0.580880i
\(471\) 10.9845 0.506139
\(472\) 0.117516 0.00540911
\(473\) −23.1644 6.20688i −1.06510 0.285393i
\(474\) 9.16104 34.1895i 0.420781 1.57037i
\(475\) 1.10129 + 4.11006i 0.0505305 + 0.188583i
\(476\) −3.42491 0.144330i −0.156981 0.00661535i
\(477\) 3.56274 6.17084i 0.163127 0.282544i
\(478\) 10.8027i 0.494105i
\(479\) 9.46087 + 35.3085i 0.432278 + 1.61328i 0.747497 + 0.664266i \(0.231256\pi\)
−0.315218 + 0.949019i \(0.602078\pi\)
\(480\) −33.0362 + 19.0735i −1.50789 + 0.870580i
\(481\) 9.07408 + 0.986859i 0.413743 + 0.0449969i
\(482\) 31.4616i 1.43304i
\(483\) 14.6609 + 9.30881i 0.667095 + 0.423565i
\(484\) −25.0985 43.4719i −1.14084 1.97599i
\(485\) 24.7623 14.2965i 1.12440 0.649171i
\(486\) 4.76899 17.7981i 0.216326 0.807339i
\(487\) 11.9118 11.9118i 0.539773 0.539773i −0.383689 0.923462i \(-0.625347\pi\)
0.923462 + 0.383689i \(0.125347\pi\)
\(488\) −0.129809 0.0347821i −0.00587617 0.00157451i
\(489\) −2.62555 + 2.62555i −0.118731 + 0.118731i
\(490\) 26.4323 37.9941i 1.19409 1.71640i
\(491\) 8.48030 4.89611i 0.382711 0.220958i −0.296286 0.955099i \(-0.595748\pi\)
0.678997 + 0.734141i \(0.262415\pi\)
\(492\) 6.07108 + 6.07108i 0.273705 + 0.273705i
\(493\) 0.839916 + 1.45478i 0.0378279 + 0.0655199i
\(494\) −4.99987 1.94001i −0.224955 0.0872851i
\(495\) 15.4717 + 8.93256i 0.695399 + 0.401489i
\(496\) −1.10766 + 4.13383i −0.0497352 + 0.185614i
\(497\) −5.88650 + 1.31438i −0.264046 + 0.0589578i
\(498\) −12.7975 7.38863i −0.573469 0.331093i
\(499\) −0.762677 2.84635i −0.0341421 0.127420i 0.946751 0.321966i \(-0.104344\pi\)
−0.980894 + 0.194545i \(0.937677\pi\)
\(500\) −3.65790 3.65790i −0.163586 0.163586i
\(501\) 3.47321 + 3.47321i 0.155172 + 0.155172i
\(502\) −2.40653 8.98127i −0.107408 0.400854i
\(503\) −24.6898 14.2547i −1.10086 0.635584i −0.164416 0.986391i \(-0.552574\pi\)
−0.936448 + 0.350807i \(0.885907\pi\)
\(504\) 0.285273 + 0.0894707i 0.0127071 + 0.00398534i
\(505\) −14.5849 + 54.4314i −0.649018 + 2.42217i
\(506\) −47.1807 27.2398i −2.09744 1.21096i
\(507\) 12.6586 13.8562i 0.562186 0.615377i
\(508\) 5.86956 + 10.1664i 0.260419 + 0.451060i
\(509\) −13.6285 13.6285i −0.604072 0.604072i 0.337319 0.941390i \(-0.390480\pi\)
−0.941390 + 0.337319i \(0.890480\pi\)
\(510\) 5.19632 3.00010i 0.230097 0.132847i
\(511\) 4.87321 15.5380i 0.215578 0.687360i
\(512\) −22.7359 + 22.7359i −1.00479 + 1.00479i
\(513\) 4.03037 + 1.07994i 0.177945 + 0.0476803i
\(514\) −22.3234 + 22.3234i −0.984642 + 0.984642i
\(515\) −12.2194 + 45.6035i −0.538452 + 2.00953i
\(516\) 10.3943 6.00113i 0.457582 0.264185i
\(517\) 21.8770 + 37.8921i 0.962149 + 1.66649i
\(518\) 0.568309 13.4858i 0.0249700 0.592532i
\(519\) 20.2843i 0.890381i
\(520\) 1.44258 0.223146i 0.0632612 0.00978561i
\(521\) 9.05428 5.22749i 0.396675 0.229020i −0.288373 0.957518i \(-0.593114\pi\)
0.685048 + 0.728498i \(0.259781\pi\)
\(522\) −1.27650 4.76395i −0.0558708 0.208513i
\(523\) 18.4333i 0.806033i 0.915193 + 0.403016i \(0.132038\pi\)
−0.915193 + 0.403016i \(0.867962\pi\)
\(524\) 18.0465 31.2574i 0.788365 1.36549i
\(525\) −0.927121 + 22.0003i −0.0404629 + 0.960173i
\(526\) 12.4715 + 46.5444i 0.543785 + 2.02943i
\(527\) 0.179733 0.670773i 0.00782929 0.0292193i
\(528\) −32.1192 8.60632i −1.39781 0.374542i
\(529\) 2.32795 0.101215
\(530\) −51.4470 −2.23472
\(531\) −0.842426 0.225727i −0.0365582 0.00979574i
\(532\) −1.20458 + 3.84073i −0.0522250 + 0.166517i
\(533\) 4.19689 + 9.51872i 0.181788 + 0.412301i
\(534\) 5.94169 10.2913i 0.257122 0.445348i
\(535\) 9.89016 2.65006i 0.427589 0.114572i
\(536\) 0.332965 0.576713i 0.0143819 0.0249102i
\(537\) −10.8005 18.7070i −0.466075 0.807266i
\(538\) 19.2858 + 19.2858i 0.831469 + 0.831469i
\(539\) 40.9664 7.35170i 1.76455 0.316660i
\(540\) −36.9288 + 9.89505i −1.58916 + 0.425815i
\(541\) 40.4921 10.8498i 1.74089 0.466470i 0.758246 0.651969i \(-0.226057\pi\)
0.982644 + 0.185499i \(0.0593901\pi\)
\(542\) 43.6387i 1.87444i
\(543\) −19.3053 11.1459i −0.828470 0.478317i
\(544\) 3.57953 3.57953i 0.153471 0.153471i
\(545\) −31.1722 −1.33527
\(546\) −21.6841 17.3226i −0.927994 0.741337i
\(547\) 39.3151 1.68099 0.840496 0.541818i \(-0.182264\pi\)
0.840496 + 0.541818i \(0.182264\pi\)
\(548\) 21.3663 21.3663i 0.912724 0.912724i
\(549\) 0.863737 + 0.498679i 0.0368634 + 0.0212831i
\(550\) 69.0772i 2.94546i
\(551\) 1.90529 0.510522i 0.0811683 0.0217490i
\(552\) 0.782357 0.209632i 0.0332993 0.00892253i
\(553\) −27.1734 17.2535i −1.15553 0.733693i
\(554\) −30.5185 30.5185i −1.29661 1.29661i
\(555\) 5.99559 + 10.3847i 0.254499 + 0.440805i
\(556\) 3.69460 6.39924i 0.156686 0.271388i
\(557\) 41.1681 11.0310i 1.74435 0.467397i 0.760944 0.648818i \(-0.224736\pi\)
0.983405 + 0.181421i \(0.0580697\pi\)
\(558\) −1.01943 + 1.76571i −0.0431561 + 0.0747486i
\(559\) 14.3715 2.22306i 0.607848 0.0940255i
\(560\) 7.32805 + 32.8190i 0.309666 + 1.38686i
\(561\) 5.21180 + 1.39650i 0.220042 + 0.0589602i
\(562\) −2.49307 −0.105164
\(563\) −37.3926 −1.57591 −0.787955 0.615733i \(-0.788860\pi\)
−0.787955 + 0.615733i \(0.788860\pi\)
\(564\) −21.1518 5.66761i −0.890652 0.238650i
\(565\) 2.27718 8.49854i 0.0958015 0.357536i
\(566\) 9.62909 + 35.9363i 0.404741 + 1.51051i
\(567\) 12.0926 + 7.67805i 0.507840 + 0.322448i
\(568\) −0.140650 + 0.243613i −0.00590155 + 0.0102218i
\(569\) 31.1625i 1.30640i −0.757186 0.653199i \(-0.773426\pi\)
0.757186 0.653199i \(-0.226574\pi\)
\(570\) −1.82354 6.80553i −0.0763795 0.285052i
\(571\) −16.5495 + 9.55483i −0.692573 + 0.399857i −0.804575 0.593851i \(-0.797607\pi\)
0.112002 + 0.993708i \(0.464274\pi\)
\(572\) 35.6554 + 26.1023i 1.49083 + 1.09139i
\(573\) 24.7663i 1.03463i
\(574\) 13.6347 7.12407i 0.569101 0.297353i
\(575\) −13.1055 22.6995i −0.546539 0.946633i
\(576\) −6.72702 + 3.88385i −0.280293 + 0.161827i
\(577\) 5.15872 19.2526i 0.214760 0.801497i −0.771490 0.636241i \(-0.780488\pi\)
0.986251 0.165256i \(-0.0528450\pi\)
\(578\) 23.6619 23.6619i 0.984206 0.984206i
\(579\) 8.55194 + 2.29149i 0.355406 + 0.0952309i
\(580\) −12.7798 + 12.7798i −0.530652 + 0.530652i
\(581\) −9.89391 + 9.09375i −0.410469 + 0.377272i
\(582\) −21.9577 + 12.6773i −0.910176 + 0.525490i
\(583\) −32.7132 32.7132i −1.35484 1.35484i
\(584\) −0.379740 0.657728i −0.0157137 0.0272170i
\(585\) −10.7699 1.17129i −0.445281 0.0484268i
\(586\) 21.6861 + 12.5205i 0.895847 + 0.517217i
\(587\) −10.4047 + 38.8308i −0.429447 + 1.60272i 0.324569 + 0.945862i \(0.394781\pi\)
−0.754016 + 0.656856i \(0.771886\pi\)
\(588\) −11.8960 + 17.0994i −0.490582 + 0.705168i
\(589\) −0.706179 0.407713i −0.0290976 0.0167995i
\(590\) 1.62979 + 6.08244i 0.0670972 + 0.250410i
\(591\) 26.2000 + 26.2000i 1.07772 + 1.07772i
\(592\) 6.93434 + 6.93434i 0.285000 + 0.285000i
\(593\) −1.86107 6.94560i −0.0764249 0.285222i 0.917128 0.398594i \(-0.130502\pi\)
−0.993553 + 0.113372i \(0.963835\pi\)
\(594\) −58.6627 33.8689i −2.40696 1.38966i
\(595\) −1.18908 5.32535i −0.0487475 0.218318i
\(596\) −7.65669 + 28.5752i −0.313630 + 1.17048i
\(597\) 10.9116 + 6.29979i 0.446580 + 0.257833i
\(598\) 32.8427 + 3.57183i 1.34304 + 0.146063i
\(599\) 14.6877 + 25.4398i 0.600123 + 1.03944i 0.992802 + 0.119768i \(0.0382150\pi\)
−0.392679 + 0.919676i \(0.628452\pi\)
\(600\) 0.726185 + 0.726185i 0.0296464 + 0.0296464i
\(601\) 40.3495 23.2958i 1.64589 0.950255i 0.667208 0.744871i \(-0.267489\pi\)
0.978682 0.205384i \(-0.0658442\pi\)
\(602\) −4.68640 20.9883i −0.191004 0.855419i
\(603\) −3.49466 + 3.49466i −0.142314 + 0.142314i
\(604\) −47.3488 12.6871i −1.92659 0.516229i
\(605\) 56.4991 56.4991i 2.29702 2.29702i
\(606\) 12.9330 48.2665i 0.525366 1.96069i
\(607\) −18.6085 + 10.7436i −0.755295 + 0.436070i −0.827604 0.561312i \(-0.810297\pi\)
0.0723088 + 0.997382i \(0.476963\pi\)
\(608\) −2.97210 5.14782i −0.120534 0.208772i
\(609\) 10.1987 + 0.429784i 0.413270 + 0.0174157i
\(610\) 7.20107i 0.291563i
\(611\) −21.4087 15.6727i −0.866104 0.634052i
\(612\) 1.02755 0.593258i 0.0415364 0.0239810i
\(613\) 7.39841 + 27.6112i 0.298819 + 1.11521i 0.938137 + 0.346265i \(0.112550\pi\)
−0.639318 + 0.768943i \(0.720783\pi\)
\(614\) 10.0146i 0.404156i
\(615\) −6.83329 + 11.8356i −0.275545 + 0.477257i
\(616\) 1.04049 1.63873i 0.0419227 0.0660262i
\(617\) −5.40928 20.1877i −0.217769 0.812726i −0.985173 0.171562i \(-0.945119\pi\)
0.767404 0.641164i \(-0.221548\pi\)
\(618\) 10.8354 40.4384i 0.435866 1.62667i
\(619\) −4.33146 1.16061i −0.174096 0.0466489i 0.170718 0.985320i \(-0.445391\pi\)
−0.344814 + 0.938671i \(0.612058\pi\)
\(620\) 7.47144 0.300060
\(621\) −25.7029 −1.03142
\(622\) 35.7510 + 9.57946i 1.43349 + 0.384101i
\(623\) −7.31288 7.95635i −0.292985 0.318764i
\(624\) 19.9272 3.08245i 0.797725 0.123397i
\(625\) −10.2952 + 17.8317i −0.411806 + 0.713269i
\(626\) −17.5009 + 4.68935i −0.699476 + 0.187424i
\(627\) 3.16787 5.48690i 0.126512 0.219126i
\(628\) −7.84159 13.5820i −0.312914 0.541982i
\(629\) −1.12520 1.12520i −0.0448645 0.0448645i
\(630\) −0.674517 + 16.0061i −0.0268734 + 0.637699i
\(631\) −9.89598 + 2.65162i −0.393953 + 0.105559i −0.450357 0.892849i \(-0.648703\pi\)
0.0564039 + 0.998408i \(0.482037\pi\)
\(632\) −1.45007 + 0.388544i −0.0576806 + 0.0154555i
\(633\) 15.6313i 0.621290i
\(634\) −25.1439 14.5168i −0.998592 0.576537i
\(635\) −13.2129 + 13.2129i −0.524339 + 0.524339i
\(636\) 23.1539 0.918114
\(637\) −20.9321 + 14.1013i −0.829360 + 0.558715i
\(638\) −32.0220 −1.26776
\(639\) 1.47620 1.47620i 0.0583977 0.0583977i
\(640\) 2.80362 + 1.61867i 0.110823 + 0.0639836i
\(641\) 32.0455i 1.26572i 0.774266 + 0.632860i \(0.218119\pi\)
−0.774266 + 0.632860i \(0.781881\pi\)
\(642\) −8.77000 + 2.34991i −0.346124 + 0.0927437i
\(643\) 44.5502 11.9372i 1.75689 0.470757i 0.770815 0.637059i \(-0.219849\pi\)
0.986075 + 0.166302i \(0.0531826\pi\)
\(644\) 1.04397 24.7732i 0.0411383 0.976201i
\(645\) 13.5091 + 13.5091i 0.531921 + 0.531921i
\(646\) 0.467487 + 0.809711i 0.0183930 + 0.0318576i
\(647\) 15.3506 26.5881i 0.603496 1.04529i −0.388792 0.921326i \(-0.627107\pi\)
0.992287 0.123959i \(-0.0395593\pi\)
\(648\) 0.645301 0.172908i 0.0253498 0.00679246i
\(649\) −2.83128 + 4.90392i −0.111137 + 0.192496i
\(650\) 16.8993 + 38.3282i 0.662844 + 1.50336i
\(651\) −2.85559 3.10685i −0.111919 0.121767i
\(652\) 5.12074 + 1.37210i 0.200544 + 0.0537355i
\(653\) −15.3539 −0.600844 −0.300422 0.953806i \(-0.597127\pi\)
−0.300422 + 0.953806i \(0.597127\pi\)
\(654\) 27.6416 1.08087
\(655\) 55.4939 + 14.8696i 2.16833 + 0.581001i
\(656\) −2.89277 + 10.7960i −0.112944 + 0.421512i
\(657\) 1.45883 + 5.44441i 0.0569142 + 0.212407i
\(658\) −21.0312 + 33.1231i −0.819880 + 1.29127i
\(659\) 4.71985 8.17502i 0.183859 0.318454i −0.759332 0.650703i \(-0.774474\pi\)
0.943192 + 0.332250i \(0.107808\pi\)
\(660\) 58.0520i 2.25967i
\(661\) 2.13827 + 7.98013i 0.0831691 + 0.310391i 0.994961 0.100261i \(-0.0319677\pi\)
−0.911792 + 0.410652i \(0.865301\pi\)
\(662\) 14.2832 8.24641i 0.555132 0.320506i
\(663\) −3.23347 + 0.500171i −0.125577 + 0.0194250i
\(664\) 0.626743i 0.0243224i
\(665\) −6.40148 0.269766i −0.248239 0.0104611i
\(666\) 2.33599 + 4.04605i 0.0905178 + 0.156781i
\(667\) −10.5227 + 6.07531i −0.407442 + 0.235237i
\(668\) 1.81508 6.77398i 0.0702277 0.262093i
\(669\) 7.95763 7.95763i 0.307660 0.307660i
\(670\) 34.4675 + 9.23555i 1.33160 + 0.356800i
\(671\) 4.57890 4.57890i 0.176766 0.176766i
\(672\) −6.70349 30.0219i −0.258593 1.15812i
\(673\) −27.2566 + 15.7366i −1.05067 + 0.606602i −0.922836 0.385194i \(-0.874134\pi\)
−0.127830 + 0.991796i \(0.540801\pi\)
\(674\) 2.33459 + 2.33459i 0.0899252 + 0.0899252i
\(675\) −16.2950 28.2237i −0.627193 1.08633i
\(676\) −26.1695 5.76031i −1.00652 0.221550i
\(677\) −40.8799 23.6020i −1.57114 0.907099i −0.996029 0.0890246i \(-0.971625\pi\)
−0.575112 0.818074i \(-0.695042\pi\)
\(678\) −2.01926 + 7.53599i −0.0775493 + 0.289418i
\(679\) 5.02460 + 22.5029i 0.192827 + 0.863583i
\(680\) −0.220390 0.127242i −0.00845157 0.00487952i
\(681\) −5.32663 19.8792i −0.204117 0.761774i
\(682\) 9.36050 + 9.36050i 0.358432 + 0.358432i
\(683\) −32.1357 32.1357i −1.22964 1.22964i −0.964100 0.265538i \(-0.914450\pi\)
−0.265538 0.964100i \(-0.585550\pi\)
\(684\) −0.360597 1.34577i −0.0137878 0.0514567i
\(685\) 41.6538 + 24.0488i 1.59151 + 0.918858i
\(686\) 22.8553 + 29.5066i 0.872619 + 1.12657i
\(687\) −4.26394 + 15.9132i −0.162680 + 0.607128i
\(688\) 13.5310 + 7.81214i 0.515866 + 0.297835i
\(689\) 26.1544 + 10.1482i 0.996402 + 0.386616i
\(690\) 21.7004 + 37.5863i 0.826121 + 1.43088i
\(691\) −13.3618 13.3618i −0.508308 0.508308i 0.405699 0.914007i \(-0.367028\pi\)
−0.914007 + 0.405699i \(0.867028\pi\)
\(692\) −25.0810 + 14.4805i −0.953435 + 0.550466i
\(693\) −10.6066 + 9.74879i −0.402911 + 0.370326i
\(694\) 13.7246 13.7246i 0.520980 0.520980i
\(695\) 11.3611 + 3.04420i 0.430951 + 0.115473i
\(696\) 0.336637 0.336637i 0.0127602 0.0127602i
\(697\) 0.469393 1.75180i 0.0177795 0.0663542i
\(698\) 51.4340 29.6954i 1.94680 1.12399i
\(699\) 15.7987 + 27.3642i 0.597563 + 1.03501i
\(700\) 27.8647 14.5592i 1.05319 0.550286i
\(701\) 31.6032i 1.19364i −0.802377 0.596818i \(-0.796431\pi\)
0.802377 0.596818i \(-0.203569\pi\)
\(702\) 40.8354 + 4.44109i 1.54123 + 0.167618i
\(703\) −1.61818 + 0.934256i −0.0610308 + 0.0352361i
\(704\) 13.0531 + 48.7148i 0.491957 + 1.83601i
\(705\) 34.8564i 1.31277i
\(706\) −16.1071 + 27.8982i −0.606197 + 1.04996i
\(707\) −38.3617 24.3574i −1.44274 0.916053i
\(708\) −0.733492 2.73743i −0.0275663 0.102879i
\(709\) −5.02350 + 18.7480i −0.188661 + 0.704094i 0.805156 + 0.593064i \(0.202082\pi\)
−0.993817 + 0.111030i \(0.964585\pi\)
\(710\) −14.5597 3.90125i −0.546414 0.146411i
\(711\) 11.1413 0.417831
\(712\) −0.504006 −0.0188884
\(713\) 4.85186 + 1.30005i 0.181704 + 0.0486873i
\(714\) 1.05440 + 4.72220i 0.0394601 + 0.176724i
\(715\) −25.4438 + 65.5747i −0.951543 + 2.45236i
\(716\) −15.4205 + 26.7090i −0.576290 + 0.998163i
\(717\) 7.47517 2.00296i 0.279165 0.0748021i
\(718\) −5.79058 + 10.0296i −0.216103 + 0.374301i
\(719\) 2.23540 + 3.87183i 0.0833665 + 0.144395i 0.904694 0.426062i \(-0.140099\pi\)
−0.821327 + 0.570457i \(0.806766\pi\)
\(720\) −8.23028 8.23028i −0.306724 0.306724i
\(721\) −32.1401 20.4070i −1.19696 0.759996i
\(722\) −35.9246 + 9.62596i −1.33697 + 0.358241i
\(723\) −21.7705 + 5.83339i −0.809654 + 0.216946i
\(724\) 31.8273i 1.18285i
\(725\) −13.3423 7.70318i −0.495520 0.286089i
\(726\) −50.1000 + 50.1000i −1.85938 + 1.85938i
\(727\) −25.9080 −0.960874 −0.480437 0.877029i \(-0.659522\pi\)
−0.480437 + 0.877029i \(0.659522\pi\)
\(728\) −0.176425 + 1.16382i −0.00653874 + 0.0431339i
\(729\) −29.4421 −1.09045
\(730\) 28.7765 28.7765i 1.06507 1.06507i
\(731\) −2.19560 1.26763i −0.0812073 0.0468851i
\(732\) 3.24087i 0.119786i
\(733\) −46.3272 + 12.4133i −1.71114 + 0.458497i −0.975703 0.219100i \(-0.929688\pi\)
−0.735433 + 0.677597i \(0.763021\pi\)
\(734\) −49.5619 + 13.2801i −1.82936 + 0.490177i
\(735\) −31.1917 11.2458i −1.15052 0.414808i
\(736\) 25.8916 + 25.8916i 0.954376 + 0.954376i
\(737\) 16.0441 + 27.7892i 0.590991 + 1.02363i
\(738\) −2.66237 + 4.61136i −0.0980033 + 0.169747i
\(739\) 16.8688 4.51998i 0.620529 0.166270i 0.0651605 0.997875i \(-0.479244\pi\)
0.555368 + 0.831605i \(0.312577\pi\)
\(740\) 8.56025 14.8268i 0.314681 0.545043i
\(741\) −0.415389 + 3.81946i −0.0152597 + 0.140311i
\(742\) 12.4151 39.5850i 0.455773 1.45321i
\(743\) −33.0523 8.85634i −1.21257 0.324908i −0.404801 0.914405i \(-0.632659\pi\)
−0.807770 + 0.589497i \(0.799326\pi\)
\(744\) −0.196808 −0.00721532
\(745\) −47.0894 −1.72522
\(746\) 36.4314 + 9.76176i 1.33385 + 0.357403i
\(747\) 1.20386 4.49288i 0.0440470 0.164386i
\(748\) −1.99386 7.44118i −0.0729027 0.272077i
\(749\) −0.347637 + 8.24932i −0.0127024 + 0.301424i
\(750\) −3.65083 + 6.32342i −0.133309 + 0.230899i
\(751\) 5.56485i 0.203064i −0.994832 0.101532i \(-0.967626\pi\)
0.994832 0.101532i \(-0.0323745\pi\)
\(752\) −7.37798 27.5350i −0.269047 1.00410i
\(753\) −5.76857 + 3.33049i −0.210219 + 0.121370i
\(754\) 17.7677 7.83397i 0.647063 0.285296i
\(755\) 78.0268i 2.83969i
\(756\) 1.29804 30.8021i 0.0472092 1.12026i
\(757\) −9.89589 17.1402i −0.359672 0.622971i 0.628234 0.778025i \(-0.283778\pi\)
−0.987906 + 0.155054i \(0.950445\pi\)
\(758\) 37.0601 21.3967i 1.34609 0.777163i
\(759\) −10.1012 + 37.6982i −0.366651 + 1.36836i
\(760\) −0.211300 + 0.211300i −0.00766464 + 0.00766464i
\(761\) 32.7829 + 8.78414i 1.18838 + 0.318425i 0.798245 0.602334i \(-0.205762\pi\)
0.390133 + 0.920758i \(0.372429\pi\)
\(762\) 11.7164 11.7164i 0.424441 0.424441i
\(763\) 7.52243 23.9849i 0.272330 0.868312i
\(764\) 30.6229 17.6801i 1.10790 0.639644i
\(765\) 1.33548 + 1.33548i 0.0482844 + 0.0482844i
\(766\) −32.7018 56.6411i −1.18156 2.04653i
\(767\) 0.371254 3.41365i 0.0134052 0.123260i
\(768\) 18.7238 + 10.8102i 0.675635 + 0.390078i
\(769\) 4.79803 17.9065i 0.173021 0.645725i −0.823859 0.566795i \(-0.808183\pi\)
0.996880 0.0789297i \(-0.0251503\pi\)
\(770\) 99.2482 + 31.1274i 3.57666 + 1.12175i
\(771\) 19.5862 + 11.3081i 0.705378 + 0.407250i
\(772\) −3.27168 12.2101i −0.117750 0.439451i
\(773\) 16.3963 + 16.3963i 0.589735 + 0.589735i 0.937560 0.347824i \(-0.113079\pi\)
−0.347824 + 0.937560i