Properties

Label 91.2.ba.a.59.2
Level $91$
Weight $2$
Character 91.59
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 59.2
Character \(\chi\) \(=\) 91.59
Dual form 91.2.ba.a.54.2

$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{11}{12}\right)\) \(e\left(\frac{1}{6}\right)\)

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 −0.999971 0.00765404i \(-0.997564\pi\)
−0.00765404 0.999971i \(-0.502436\pi\)
\(3\) 1.25027 0.721843i 0.721843 0.416756i −0.0935879 0.995611i \(-0.529834\pi\)
0.815430 + 0.578855i \(0.196500\pi\)
\(4\) 2.06123i 1.03062i
\(5\) 3.16920 + 0.849184i 1.41731 + 0.379766i 0.884528 0.466487i \(-0.154481\pi\)
0.532780 + 0.846254i \(0.321147\pi\)
\(6\) −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 −0.751088 0.660202i \(-0.770471\pi\)
−0.980562 + 0.196208i \(0.937137\pi\)
\(12\) 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 0.940545 0.339670i \(-0.110315\pi\)
−0.984371 + 0.176109i \(0.943649\pi\)
\(20\) −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 \(0.157198\pi\)
−0.880513 + 0.474021i \(0.842802\pi\)
\(24\) 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 −0.963007 0.269477i \(-0.913149\pi\)
0.714878 + 0.699250i \(0.246482\pi\)
\(30\) −8.26680 4.77284i −1.50930 0.871397i
\(31\) −0.285936 1.06713i −0.0513556 0.191662i 0.935482 0.353373i \(-0.114965\pi\)
−0.986838 + 0.161711i \(0.948299\pi\)
\(32\) −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 −0.544485 0.838770i \(-0.683275\pi\)
0.838770 + 0.544485i \(0.183275\pi\)
\(38\) −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 0.882780 0.469787i \(-0.155669\pi\)
−0.999403 + 0.0345422i \(0.989003\pi\)
\(42\) −1.67744 + 7.51251i −0.258835 + 1.15921i
\(43\) 3.49297 2.01667i 0.532673 0.307539i −0.209431 0.977823i \(-0.567161\pi\)
0.742104 + 0.670285i \(0.233828\pi\)
\(44\) 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 0.676120 + 0.736791i \(0.263660\pi\)
−0.953933 + 0.300020i \(0.903007\pi\)
\(48\) 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 −0.464803 0.885414i \(-0.653875\pi\)
0.999193 0.0401759i \(-0.0127918\pi\)
\(54\) 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 0.749583 0.661911i \(-0.230254\pi\)
−0.661911 + 0.749583i \(0.730254\pi\)
\(60\) 2.52697 + 9.43079i 0.326231 + 1.21751i
\(61\) −0.943178 0.544544i −0.120762 0.0697217i 0.438402 0.898779i \(-0.355544\pi\)
−0.559164 + 0.829057i \(0.688878\pi\)
\(62\) −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 0.826609 + 0.562777i \(0.190267\pi\)
−0.997253 + 0.0740750i \(0.976400\pi\)
\(68\) 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 −0.922036 0.387105i \(-0.873475\pi\)
0.992059 + 0.125776i \(0.0401419\pi\)
\(72\) 0.0292470 + 0.109151i 0.00344679 + 0.0128636i
\(73\) −5.94515 + 1.59300i −0.695827 + 0.186446i −0.589361 0.807870i \(-0.700620\pi\)
−0.106466 + 0.994316i \(0.533954\pi\)
\(74\) −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 −0.973628 0.228141i \(-0.926735\pi\)
0.289238 0.957257i \(-0.406598\pi\)
\(80\) 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 −0.481968 0.876189i \(-0.660078\pi\)
0.876189 + 0.481968i \(0.160078\pi\)
\(84\) 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 0.537267 0.843412i \(-0.319457\pi\)
−0.843412 + 0.537267i \(0.819457\pi\)
\(90\) 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 0.659460 0.751740i \(-0.270785\pi\)
0.195239 + 0.980756i \(0.437452\pi\)
\(98\) 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 −0.877112 0.480286i \(-0.840533\pi\)
0.0226160 0.999744i \(-0.492800\pi\)
\(102\) 1.76646 + 0.473322i 0.174906 + 0.0468658i
\(103\) −7.19481 12.4618i −0.708926 1.22790i −0.965256 0.261306i \(-0.915847\pi\)
0.256330 0.966589i \(-0.417487\pi\)
\(104\) 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 −0.669979 0.742380i \(-0.733697\pi\)
−0.209029 + 0.977909i \(0.567030\pi\)
\(110\) 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 0.922175 0.386773i \(-0.126410\pi\)
−0.796043 + 0.605240i \(0.793077\pi\)
\(114\) 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 0.264944 0.964264i \(-0.414646\pi\)
−0.702605 + 0.711580i \(0.747980\pi\)
\(128\) 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 0.340415 0.940275i \(-0.389432\pi\)
0.984510 + 0.175329i \(0.0560991\pi\)
\(132\) −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 −0.108487 0.994098i \(-0.534600\pi\)
0.994098 + 0.108487i \(0.0346005\pi\)
\(138\) 3.42365 12.7772i 0.291440 1.08767i
\(139\) 3.10457 1.79243i 0.263327 0.152032i −0.362525 0.931974i \(-0.618085\pi\)
0.625851 + 0.779943i \(0.284752\pi\)
\(140\) 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 −0.777226 0.629221i \(-0.783374\pi\)
−0.358487 + 0.933535i \(0.616707\pi\)
\(150\) −11.8599 11.8599i −0.968353 0.968353i
\(151\) 6.15509 + 22.9711i 0.500894 + 1.86936i 0.494134 + 0.869386i \(0.335485\pi\)
0.00676075 + 0.999977i \(0.497848\pi\)
\(152\) −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 0.739338 0.673334i \(-0.235139\pi\)
−0.213456 + 0.976953i \(0.568472\pi\)
\(158\) −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 0.934944 0.354796i \(-0.115450\pi\)
−0.987083 + 0.160210i \(0.948783\pi\)
\(164\) 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 −0.129413 0.991591i \(-0.541309\pi\)
0.383720 + 0.923449i \(0.374643\pi\)
\(168\) −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 0.465092 + 0.885263i \(0.346021\pi\)
−0.999206 + 0.0398501i \(0.987312\pi\)
\(174\) 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 −0.898782 0.438395i \(-0.855547\pi\)
−0.0697295 + 0.997566i \(0.522214\pi\)
\(180\) −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 −0.368723 0.929539i \(-0.620205\pi\)
0.989366 0.145446i \(-0.0464617\pi\)
\(192\) 6.12275 + 10.6049i 0.441872 + 0.765344i
\(193\) 5.92369 + 1.58725i 0.426396 + 0.114253i 0.465634 0.884977i \(-0.345826\pi\)
−0.0392377 + 0.999230i \(0.512493\pi\)
\(194\) −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 0.778288 0.627908i \(-0.216089\pi\)
0.987971 + 0.154640i \(0.0494219\pi\)
\(198\) −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 −0.989979 0.141214i \(-0.954899\pi\)
0.617285 + 0.786740i \(0.288233\pi\)
\(212\) 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 0.999997 + 0.00226068i \(0.000719598\pi\)
−0.864893 + 0.501957i \(0.832614\pi\)
\(224\) −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 −0.957495 0.288450i \(-0.906860\pi\)
0.288450 + 0.957495i \(0.406860\pi\)
\(228\) 1.55309 1.55309i 0.102856 0.102856i
\(229\) 2.95351 11.0227i 0.195174 0.728398i −0.797048 0.603916i \(-0.793606\pi\)
0.992222 0.124482i \(-0.0397269\pi\)
\(230\) 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 0.272297 0.962213i \(-0.412217\pi\)
0.969450 + 0.245291i \(0.0788835\pi\)
\(234\) 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 0.818990 0.573807i \(-0.194534\pi\)
−0.573807 + 0.818990i \(0.694534\pi\)
\(240\) 17.7238 4.74909i 1.14407 0.306552i
\(241\) −11.0392 11.0392i −0.711097 0.711097i 0.255668 0.966765i \(-0.417705\pi\)
−0.966765 + 0.255668i \(0.917705\pi\)
\(242\) −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 0.783989 0.620775i \(-0.213182\pi\)
−0.929601 + 0.368567i \(0.879849\pi\)
\(252\) −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 0.953750 + 0.300601i \(0.0971872\pi\)
−0.216547 + 0.976272i \(0.569479\pi\)
\(264\) −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 \(0.135375\pi\)
−0.910918 + 0.412588i \(0.864625\pi\)
\(270\) 32.3709 18.6893i 1.97003 1.13740i
\(271\) 15.3119 + 15.3119i 0.930129 + 0.930129i 0.997714 0.0675846i \(-0.0215292\pi\)
−0.0675846 + 0.997714i \(0.521529\pi\)
\(272\) −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 \(-0.777524\pi\)
0.765531 0.643399i \(-0.222476\pi\)
\(278\) −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 −0.680533 0.732717i \(-0.738252\pi\)
0.732717 + 0.680533i \(0.238252\pi\)
\(282\) 10.7047 18.5412i 0.637458 1.10411i
\(283\) 9.23061 + 15.9879i 0.548703 + 0.950381i 0.998364 + 0.0571816i \(0.0182114\pi\)
−0.449661 + 0.893199i \(0.648455\pi\)
\(284\) 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 0.806113 + 0.591762i \(0.201567\pi\)
−0.993995 + 0.109424i \(0.965099\pi\)
\(294\) 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 0.800235 0.599686i \(-0.204708\pi\)
−0.599686 + 0.800235i \(0.704708\pi\)
\(308\) −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 0.478988 + 0.877821i \(0.341004\pi\)
−0.999710 + 0.0240949i \(0.992330\pi\)
\(312\) 0.518269 0.379411i 0.0293412 0.0214799i
\(313\) 7.78607 4.49529i 0.440095 0.254089i −0.263543 0.964648i \(-0.584891\pi\)
0.703638 + 0.710559i \(0.251558\pi\)
\(314\) −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 −0.778623 0.627492i \(-0.784081\pi\)
0.988053 0.154113i \(-0.0492519\pi\)
\(318\) −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 −0.469441 0.882964i \(-0.655544\pi\)
0.0349345 + 0.999390i \(0.488878\pi\)
\(332\) 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 \(0.0142085\pi\)
−0.999004 + 0.0446224i \(0.985792\pi\)
\(338\) 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 −0.920983 0.389602i \(-0.872613\pi\)
−0.602794 + 0.797897i \(0.705946\pi\)
\(350\) −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 0.645140 0.764065i \(-0.276799\pi\)
0.176675 + 0.984269i \(0.443466\pi\)
\(354\) −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 0.402309 0.915504i \(-0.368208\pi\)
−0.109342 + 0.994004i \(0.534874\pi\)
\(360\) 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 0.201865 0.979413i \(-0.435300\pi\)
0.949129 + 0.314887i \(0.101966\pi\)
\(368\) 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 −0.999842 0.0177746i \(-0.994342\pi\)
0.515314 + 0.857001i \(0.327675\pi\)
\(374\) −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 −0.743735 0.668475i \(-0.766947\pi\)
−0.309856 + 0.950784i \(0.600281\pi\)
\(380\) 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 −0.754556 0.656236i \(-0.772148\pi\)
0.325347 0.945595i \(-0.394519\pi\)
\(384\) 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 0.645035 0.764153i \(-0.276843\pi\)
−0.339259 + 0.940693i \(0.610176\pi\)
\(390\) −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 −0.602076 0.798439i \(-0.705660\pi\)
−0.122194 + 0.992506i \(0.538993\pi\)
\(398\) −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 −0.136932 0.990581i \(-0.543724\pi\)
0.990581 + 0.136932i \(0.0437241\pi\)
\(402\) 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 −0.392580 + 0.919718i \(0.628417\pi\)
−0.919718 + 0.392580i \(0.871583\pi\)
\(410\) −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 0.662251 0.749282i \(-0.269601\pi\)
−0.317772 + 0.948167i \(0.602935\pi\)
\(420\) 24.6479 7.73037i 1.20269 0.377203i
\(421\) 2.46118 + 2.46118i 0.119951 + 0.119951i 0.764534 0.644583i \(-0.222969\pi\)
−0.644583 + 0.764534i \(0.722969\pi\)
\(422\) 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 0.802310 + 0.596907i \(0.203604\pi\)
−0.993275 + 0.115781i \(0.963063\pi\)
\(432\) 21.8991i 1.05362i
\(433\) −6.16396 10.6763i −0.296221 0.513070i 0.679047 0.734095i \(-0.262393\pi\)
−0.975268 + 0.221025i \(0.929060\pi\)
\(434\) 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 0.781456 0.623960i \(-0.214477\pi\)
−0.931093 + 0.364781i \(0.881144\pi\)
\(444\) 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 0.587072 0.809535i \(-0.300281\pi\)
0.103651 + 0.994614i \(0.466947\pi\)
\(450\) 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 0.915858 0.401502i \(-0.131512\pi\)
−0.401502 + 0.915858i \(0.631512\pi\)
\(458\) −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 −0.510301 0.859996i \(-0.670466\pi\)
−0.871931 + 0.489628i \(0.837133\pi\)
\(462\) 21.1949 40.5647i 0.986077 1.88724i
\(463\) −4.11310 + 4.11310i −0.191152 + 0.191152i −0.796194 0.605042i \(-0.793156\pi\)
0.605042 + 0.796194i \(0.293156\pi\)
\(464\) −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 0.944888 0.327393i \(-0.106170\pi\)
−0.755975 + 0.654601i \(0.772837\pi\)
\(468\) −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 −0.315218 0.949019i \(-0.602078\pi\)
0.747497 0.664266i \(-0.231256\pi\)
\(480\) −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 0.923462 0.383689i \(-0.125347\pi\)
−0.383689 + 0.923462i \(0.625347\pi\)
\(488\) −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 0.678997 0.734141i \(-0.262415\pi\)
−0.296286 + 0.955099i \(0.595748\pi\)
\(492\) 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 −0.980894 0.194545i \(-0.937677\pi\)
0.946751 + 0.321966i \(0.104344\pi\)
\(500\) −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 −0.936448 0.350807i \(-0.885907\pi\)
−0.164416 + 0.986391i \(0.552574\pi\)
\(504\) 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 −0.941390 0.337319i \(-0.890480\pi\)
0.337319 + 0.941390i \(0.390480\pi\)
\(510\) 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 0.685048 0.728498i \(-0.259781\pi\)
−0.288373 + 0.957518i \(0.593114\pi\)
\(522\) −1.27650 + 4.76395i −0.0558708 + 0.208513i
\(523\) 18.4333i 0.806033i −0.915193 0.403016i \(-0.867962\pi\)
0.915193 0.403016i \(-0.132038\pi\)
\(524\) 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 0.982644 0.185499i \(-0.0593901\pi\)
0.758246 + 0.651969i \(0.226057\pi\)
\(542\) 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 0.983405 0.181421i \(-0.0580697\pi\)
0.760944 + 0.648818i \(0.224736\pi\)
\(558\) −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 \(0.226574\pi\)
−0.757186 + 0.653199i \(0.773426\pi\)
\(570\) −1.82354 + 6.80553i −0.0763795 + 0.285052i
\(571\) −16.5495 9.55483i −0.692573 0.399857i 0.112002 0.993708i \(-0.464274\pi\)
−0.804575 + 0.593851i \(0.797607\pi\)
\(572\) 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 0.986251 + 0.165256i \(0.0528450\pi\)
−0.771490 + 0.636241i \(0.780488\pi\)
\(578\) 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 −0.754016 0.656856i \(-0.771886\pi\)
0.324569 0.945862i \(-0.394781\pi\)
\(588\) −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 −0.993553 0.113372i \(-0.963835\pi\)
0.917128 + 0.398594i \(0.130502\pi\)
\(594\) −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 −0.392679 0.919676i \(-0.628452\pi\)
0.992802 0.119768i \(-0.0382150\pi\)
\(600\) 0.726185 0.726185i 0.0296464 0.0296464i
\(601\) 40.3495 + 23.2958i 1.64589 + 0.950255i 0.978682 + 0.205384i \(0.0658442\pi\)
0.667208 + 0.744871i \(0.267489\pi\)
\(602\) −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 0.0723088 0.997382i \(-0.476963\pi\)
−0.827604 + 0.561312i \(0.810297\pi\)
\(608\) −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 −0.639318 0.768943i \(-0.720783\pi\)
0.938137 0.346265i \(-0.112550\pi\)
\(614\) 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 0.767404 + 0.641164i \(0.221548\pi\)
−0.985173 + 0.171562i \(0.945119\pi\)
\(618\) 10.8354 + 40.4384i 0.435866 + 1.62667i
\(619\) −4.33146 + 1.16061i −0.174096 + 0.0466489i −0.344814 0.938671i \(-0.612058\pi\)
0.170718 + 0.985320i \(0.445391\pi\)
\(620\) 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 0.0564039 0.998408i \(-0.482037\pi\)
−0.450357 + 0.892849i \(0.648703\pi\)
\(632\) −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 \(-0.781881\pi\)
0.774266 0.632860i \(-0.218119\pi\)
\(642\) −8.77000 2.34991i −0.346124 0.0927437i
\(643\) 44.5502 + 11.9372i 1.75689 + 0.470757i 0.986075 0.166302i \(-0.0531826\pi\)
0.770815 + 0.637059i \(0.219849\pi\)
\(644\) 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 0.992287 + 0.123959i \(0.0395593\pi\)
−0.388792 + 0.921326i \(0.627107\pi\)
\(648\) 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 0.943192 0.332250i \(-0.107808\pi\)
−0.759332 + 0.650703i \(0.774474\pi\)
\(660\) 58.0520i 2.25967i
\(661\) 2.13827 7.98013i 0.0831691 0.310391i −0.911792 0.410652i \(-0.865301\pi\)
0.994961 + 0.100261i \(0.0319677\pi\)
\(662\) 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 −0.127830 0.991796i \(-0.540801\pi\)
−0.922836 + 0.385194i \(0.874134\pi\)
\(674\) 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 −0.575112 + 0.818074i \(0.695042\pi\)
−0.996029 + 0.0890246i \(0.971625\pi\)
\(678\) −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 −0.265538 + 0.964100i \(0.585550\pi\)
−0.964100 + 0.265538i \(0.914450\pi\)
\(684\) −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 −0.914007 0.405699i \(-0.867028\pi\)
0.405699 + 0.914007i \(0.367028\pi\)
\(692\) −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 \(0.203569\pi\)
−0.802377 + 0.596818i \(0.796431\pi\)
\(702\) 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 −0.993817 0.111030i \(-0.964585\pi\)
0.805156 0.593064i \(-0.202082\pi\)
\(710\) −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 −0.821327 0.570457i \(-0.806766\pi\)
0.904694 + 0.426062i \(0.140099\pi\)
\(720\) −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 −0.735433 0.677597i \(-0.763021\pi\)
−0.975703 + 0.219100i \(0.929688\pi\)
\(734\) −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 0.555368 0.831605i \(-0.312577\pi\)
0.0651605 + 0.997875i \(0.479244\pi\)
\(740\) 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 −0.807770 0.589497i \(-0.799326\pi\)
−0.404801 + 0.914405i \(0.632659\pi\)
\(744\) −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 \(0.0323745\pi\)
−0.994832 + 0.101532i \(0.967626\pi\)
\(752\) −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 −0.987906 0.155054i \(-0.950445\pi\)
0.628234 + 0.778025i \(0.283778\pi\)
\(758\) 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 0.390133 0.920758i \(-0.372429\pi\)
0.798245 + 0.602334i \(0.205762\pi\)
\(762\) 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 0.996880 + 0.0789297i \(0.0251503\pi\)
−0.823859 + 0.566795i \(0.808183\pi\)
\(770\) 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 −0.347824 0.937560i \(-0.613079\pi\)
0.937560 + 0.347824i \(0.113079\pi\)