Properties

Label 138.2.f.a.17.2
Level $138$
Weight $2$
Character 138.17
Analytic conductor $1.102$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 138 = 2 \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 138.f (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.10193554789\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(8\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 17.2
Character \(\chi\) \(=\) 138.17
Dual form 138.2.f.a.65.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.909632 - 0.415415i) q^{2} +(-0.580581 + 1.63185i) q^{3} +(0.654861 + 0.755750i) q^{4} +(-1.63636 + 1.05163i) q^{5} +(1.20601 - 1.24320i) q^{6} +(-3.52778 - 0.507219i) q^{7} +(-0.281733 - 0.959493i) q^{8} +(-2.32585 - 1.89484i) q^{9} +O(q^{10})\) \(q+(-0.909632 - 0.415415i) q^{2} +(-0.580581 + 1.63185i) q^{3} +(0.654861 + 0.755750i) q^{4} +(-1.63636 + 1.05163i) q^{5} +(1.20601 - 1.24320i) q^{6} +(-3.52778 - 0.507219i) q^{7} +(-0.281733 - 0.959493i) q^{8} +(-2.32585 - 1.89484i) q^{9} +(1.92535 - 0.276823i) q^{10} +(-1.10493 - 2.41947i) q^{11} +(-1.61347 + 0.629859i) q^{12} +(0.977409 + 6.79803i) q^{13} +(2.99828 + 1.92688i) q^{14} +(-0.766051 - 3.28085i) q^{15} +(-0.142315 + 0.989821i) q^{16} +(-3.22982 + 3.72741i) q^{17} +(1.32852 + 2.68980i) q^{18} +(1.19767 - 1.03779i) q^{19} +(-1.86635 - 0.548011i) q^{20} +(2.87587 - 5.46232i) q^{21} +2.65983i q^{22} +(4.79364 + 0.145045i) q^{23} +(1.72931 + 0.0973192i) q^{24} +(-0.505314 + 1.10648i) q^{25} +(1.93492 - 6.58974i) q^{26} +(4.44243 - 2.69532i) q^{27} +(-1.92688 - 2.99828i) q^{28} +(2.48747 + 2.15541i) q^{29} +(-0.666088 + 3.30259i) q^{30} +(-5.57827 + 1.63793i) q^{31} +(0.540641 - 0.841254i) q^{32} +(4.58970 - 0.398385i) q^{33} +(4.48636 - 2.04885i) q^{34} +(6.30613 - 2.87991i) q^{35} +(-0.0910837 - 2.99862i) q^{36} +(3.42164 - 5.32418i) q^{37} +(-1.52055 + 0.446473i) q^{38} +(-11.6608 - 2.35183i) q^{39} +(1.47004 + 1.27380i) q^{40} +(-0.280858 - 0.437024i) q^{41} +(-4.88511 + 3.77402i) q^{42} +(1.05153 - 3.58117i) q^{43} +(1.10493 - 2.41947i) q^{44} +(5.79859 + 0.654719i) q^{45} +(-4.30019 - 2.12329i) q^{46} +8.59526i q^{47} +(-1.53261 - 0.806908i) q^{48} +(5.47153 + 1.60658i) q^{49} +(0.919299 - 0.796577i) q^{50} +(-4.20739 - 7.43463i) q^{51} +(-4.49754 + 5.19044i) q^{52} +(-0.616803 + 4.28996i) q^{53} +(-5.16066 + 0.606299i) q^{54} +(4.35244 + 2.79714i) q^{55} +(0.507219 + 3.52778i) q^{56} +(0.998164 + 2.55693i) q^{57} +(-1.36730 - 2.99396i) q^{58} +(-7.37948 + 1.06101i) q^{59} +(1.97784 - 2.72744i) q^{60} +(2.50799 + 8.54143i) q^{61} +(5.75459 + 0.827385i) q^{62} +(7.24400 + 7.86430i) q^{63} +(-0.841254 + 0.540641i) q^{64} +(-8.74838 - 10.0962i) q^{65} +(-4.34043 - 1.54425i) q^{66} +(-7.78164 - 3.55375i) q^{67} -4.93207 q^{68} +(-3.01979 + 7.73827i) q^{69} -6.93262 q^{70} +(-3.61816 - 1.65236i) q^{71} +(-1.16282 + 2.76548i) q^{72} +(-0.420832 - 0.485666i) q^{73} +(-5.32418 + 3.42164i) q^{74} +(-1.51223 - 1.46700i) q^{75} +(1.56861 + 0.225532i) q^{76} +(2.67077 + 9.09579i) q^{77} +(9.63007 + 6.98338i) q^{78} +(9.47779 - 1.36270i) q^{79} +(-0.808043 - 1.76937i) q^{80} +(1.81916 + 8.81423i) q^{81} +(0.0739313 + 0.514203i) q^{82} +(4.85775 + 3.12189i) q^{83} +(6.01144 - 1.40362i) q^{84} +(1.36531 - 9.49594i) q^{85} +(-2.44417 + 2.82073i) q^{86} +(-4.96147 + 2.80779i) q^{87} +(-2.01016 + 1.74182i) q^{88} +(-4.12874 - 1.21231i) q^{89} +(-5.00261 - 3.00438i) q^{90} -24.4777i q^{91} +(3.02955 + 3.71777i) q^{92} +(0.565791 - 10.0538i) q^{93} +(3.57060 - 7.81853i) q^{94} +(-0.868456 + 2.95769i) q^{95} +(1.05891 + 1.37066i) q^{96} +(-2.18434 - 3.39889i) q^{97} +(-4.30968 - 3.73436i) q^{98} +(-2.01459 + 7.72099i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80 q + 4 q^{3} + 8 q^{4} + 4 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 80 q + 4 q^{3} + 8 q^{4} + 4 q^{6} - 4 q^{12} + 8 q^{13} - 22 q^{15} - 8 q^{16} - 28 q^{18} - 66 q^{21} - 4 q^{24} - 48 q^{25} - 38 q^{27} - 44 q^{30} - 16 q^{31} - 22 q^{33} - 44 q^{37} - 24 q^{39} - 44 q^{43} - 16 q^{46} + 4 q^{48} - 76 q^{49} - 8 q^{52} - 6 q^{54} + 64 q^{55} + 66 q^{57} + 36 q^{58} + 22 q^{60} + 88 q^{61} + 110 q^{63} + 8 q^{64} + 88 q^{66} + 44 q^{67} + 82 q^{69} + 112 q^{70} + 28 q^{72} + 52 q^{73} + 136 q^{75} + 82 q^{78} + 88 q^{79} + 36 q^{81} + 44 q^{82} + 22 q^{84} + 20 q^{85} - 10 q^{87} + 8 q^{93} - 56 q^{94} + 4 q^{96} - 132 q^{97} - 66 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{7}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.909632 0.415415i −0.643207 0.293743i
\(3\) −0.580581 + 1.63185i −0.335199 + 0.942147i
\(4\) 0.654861 + 0.755750i 0.327430 + 0.377875i
\(5\) −1.63636 + 1.05163i −0.731803 + 0.470301i −0.852725 0.522361i \(-0.825051\pi\)
0.120922 + 0.992662i \(0.461415\pi\)
\(6\) 1.20601 1.24320i 0.492351 0.507534i
\(7\) −3.52778 0.507219i −1.33338 0.191711i −0.561497 0.827479i \(-0.689774\pi\)
−0.771880 + 0.635768i \(0.780683\pi\)
\(8\) −0.281733 0.959493i −0.0996075 0.339232i
\(9\) −2.32585 1.89484i −0.775284 0.631613i
\(10\) 1.92535 0.276823i 0.608848 0.0875392i
\(11\) −1.10493 2.41947i −0.333150 0.729496i 0.666725 0.745304i \(-0.267695\pi\)
−0.999875 + 0.0158072i \(0.994968\pi\)
\(12\) −1.61347 + 0.629859i −0.465768 + 0.181825i
\(13\) 0.977409 + 6.79803i 0.271085 + 1.88543i 0.437255 + 0.899338i \(0.355951\pi\)
−0.166170 + 0.986097i \(0.553140\pi\)
\(14\) 2.99828 + 1.92688i 0.801323 + 0.514979i
\(15\) −0.766051 3.28085i −0.197794 0.847111i
\(16\) −0.142315 + 0.989821i −0.0355787 + 0.247455i
\(17\) −3.22982 + 3.72741i −0.783345 + 0.904029i −0.997346 0.0728046i \(-0.976805\pi\)
0.214001 + 0.976833i \(0.431350\pi\)
\(18\) 1.32852 + 2.68980i 0.313136 + 0.633992i
\(19\) 1.19767 1.03779i 0.274764 0.238084i −0.506568 0.862200i \(-0.669086\pi\)
0.781332 + 0.624116i \(0.214541\pi\)
\(20\) −1.86635 0.548011i −0.417329 0.122539i
\(21\) 2.87587 5.46232i 0.627566 1.19198i
\(22\) 2.65983i 0.567078i
\(23\) 4.79364 + 0.145045i 0.999543 + 0.0302441i
\(24\) 1.72931 + 0.0973192i 0.352995 + 0.0198652i
\(25\) −0.505314 + 1.10648i −0.101063 + 0.221296i
\(26\) 1.93492 6.58974i 0.379469 1.29235i
\(27\) 4.44243 2.69532i 0.854947 0.518715i
\(28\) −1.92688 2.99828i −0.364145 0.566621i
\(29\) 2.48747 + 2.15541i 0.461912 + 0.400249i 0.854488 0.519470i \(-0.173871\pi\)
−0.392577 + 0.919719i \(0.628416\pi\)
\(30\) −0.666088 + 3.30259i −0.121610 + 0.602968i
\(31\) −5.57827 + 1.63793i −1.00189 + 0.294180i −0.741230 0.671251i \(-0.765757\pi\)
−0.260656 + 0.965432i \(0.583939\pi\)
\(32\) 0.540641 0.841254i 0.0955727 0.148714i
\(33\) 4.58970 0.398385i 0.798965 0.0693500i
\(34\) 4.48636 2.04885i 0.769405 0.351376i
\(35\) 6.30613 2.87991i 1.06593 0.486794i
\(36\) −0.0910837 2.99862i −0.0151806 0.499769i
\(37\) 3.42164 5.32418i 0.562514 0.875289i −0.437196 0.899366i \(-0.644028\pi\)
0.999710 + 0.0240772i \(0.00766476\pi\)
\(38\) −1.52055 + 0.446473i −0.246666 + 0.0724276i
\(39\) −11.6608 2.35183i −1.86722 0.376594i
\(40\) 1.47004 + 1.27380i 0.232434 + 0.201405i
\(41\) −0.280858 0.437024i −0.0438627 0.0682516i 0.818630 0.574322i \(-0.194734\pi\)
−0.862492 + 0.506070i \(0.831098\pi\)
\(42\) −4.88511 + 3.77402i −0.753789 + 0.582344i
\(43\) 1.05153 3.58117i 0.160356 0.546123i −0.839639 0.543144i \(-0.817234\pi\)
0.999996 0.00297888i \(-0.000948207\pi\)
\(44\) 1.10493 2.41947i 0.166575 0.364748i
\(45\) 5.79859 + 0.654719i 0.864403 + 0.0975997i
\(46\) −4.30019 2.12329i −0.634029 0.313062i
\(47\) 8.59526i 1.25375i 0.779121 + 0.626874i \(0.215666\pi\)
−0.779121 + 0.626874i \(0.784334\pi\)
\(48\) −1.53261 0.806908i −0.221213 0.116467i
\(49\) 5.47153 + 1.60658i 0.781647 + 0.229512i
\(50\) 0.919299 0.796577i 0.130008 0.112653i
\(51\) −4.20739 7.43463i −0.589152 1.04106i
\(52\) −4.49754 + 5.19044i −0.623697 + 0.719785i
\(53\) −0.616803 + 4.28996i −0.0847244 + 0.589271i 0.902591 + 0.430499i \(0.141663\pi\)
−0.987315 + 0.158772i \(0.949247\pi\)
\(54\) −5.16066 + 0.606299i −0.702277 + 0.0825068i
\(55\) 4.35244 + 2.79714i 0.586883 + 0.377167i
\(56\) 0.507219 + 3.52778i 0.0677799 + 0.471420i
\(57\) 0.998164 + 2.55693i 0.132210 + 0.338674i
\(58\) −1.36730 2.99396i −0.179535 0.393126i
\(59\) −7.37948 + 1.06101i −0.960727 + 0.138132i −0.604796 0.796381i \(-0.706745\pi\)
−0.355931 + 0.934512i \(0.615836\pi\)
\(60\) 1.97784 2.72744i 0.255338 0.352111i
\(61\) 2.50799 + 8.54143i 0.321115 + 1.09362i 0.948991 + 0.315304i \(0.102106\pi\)
−0.627876 + 0.778314i \(0.716075\pi\)
\(62\) 5.75459 + 0.827385i 0.730833 + 0.105078i
\(63\) 7.24400 + 7.86430i 0.912658 + 0.990808i
\(64\) −0.841254 + 0.540641i −0.105157 + 0.0675801i
\(65\) −8.74838 10.0962i −1.08510 1.25228i
\(66\) −4.34043 1.54425i −0.534271 0.190084i
\(67\) −7.78164 3.55375i −0.950678 0.434160i −0.121156 0.992634i \(-0.538660\pi\)
−0.829522 + 0.558473i \(0.811387\pi\)
\(68\) −4.93207 −0.598101
\(69\) −3.01979 + 7.73827i −0.363540 + 0.931579i
\(70\) −6.93262 −0.828606
\(71\) −3.61816 1.65236i −0.429396 0.196099i 0.188980 0.981981i \(-0.439482\pi\)
−0.618376 + 0.785882i \(0.712209\pi\)
\(72\) −1.16282 + 2.76548i −0.137039 + 0.325914i
\(73\) −0.420832 0.485666i −0.0492547 0.0568429i 0.730588 0.682819i \(-0.239246\pi\)
−0.779842 + 0.625976i \(0.784701\pi\)
\(74\) −5.32418 + 3.42164i −0.618923 + 0.397758i
\(75\) −1.51223 1.46700i −0.174618 0.169394i
\(76\) 1.56861 + 0.225532i 0.179932 + 0.0258703i
\(77\) 2.67077 + 9.09579i 0.304362 + 1.03656i
\(78\) 9.63007 + 6.98338i 1.09039 + 0.790712i
\(79\) 9.47779 1.36270i 1.06633 0.153316i 0.413263 0.910612i \(-0.364389\pi\)
0.653072 + 0.757296i \(0.273480\pi\)
\(80\) −0.808043 1.76937i −0.0903419 0.197821i
\(81\) 1.81916 + 8.81423i 0.202129 + 0.979359i
\(82\) 0.0739313 + 0.514203i 0.00816434 + 0.0567843i
\(83\) 4.85775 + 3.12189i 0.533207 + 0.342672i 0.779377 0.626555i \(-0.215536\pi\)
−0.246170 + 0.969227i \(0.579172\pi\)
\(84\) 6.01144 1.40362i 0.655902 0.153148i
\(85\) 1.36531 9.49594i 0.148089 1.02998i
\(86\) −2.44417 + 2.82073i −0.263562 + 0.304167i
\(87\) −4.96147 + 2.80779i −0.531926 + 0.301026i
\(88\) −2.01016 + 1.74182i −0.214284 + 0.185678i
\(89\) −4.12874 1.21231i −0.437646 0.128504i 0.0554850 0.998460i \(-0.482330\pi\)
−0.493131 + 0.869955i \(0.664148\pi\)
\(90\) −5.00261 3.00438i −0.527321 0.316689i
\(91\) 24.4777i 2.56596i
\(92\) 3.02955 + 3.71777i 0.315852 + 0.387605i
\(93\) 0.565791 10.0538i 0.0586698 1.04253i
\(94\) 3.57060 7.81853i 0.368279 0.806420i
\(95\) −0.868456 + 2.95769i −0.0891017 + 0.303453i
\(96\) 1.05891 + 1.37066i 0.108075 + 0.139892i
\(97\) −2.18434 3.39889i −0.221786 0.345105i 0.712474 0.701698i \(-0.247575\pi\)
−0.934260 + 0.356593i \(0.883938\pi\)
\(98\) −4.30968 3.73436i −0.435343 0.377227i
\(99\) −2.01459 + 7.72099i −0.202474 + 0.775988i
\(100\) −1.16713 + 0.342701i −0.116713 + 0.0342701i
\(101\) 9.58063 14.9077i 0.953308 1.48338i 0.0796572 0.996822i \(-0.474617\pi\)
0.873651 0.486554i \(-0.161746\pi\)
\(102\) 0.738717 + 8.51059i 0.0731439 + 0.842674i
\(103\) −13.7927 + 6.29890i −1.35903 + 0.620649i −0.955683 0.294397i \(-0.904881\pi\)
−0.403349 + 0.915046i \(0.632154\pi\)
\(104\) 6.24730 2.85304i 0.612598 0.279764i
\(105\) 1.03836 + 11.9627i 0.101333 + 1.16744i
\(106\) 2.34318 3.64605i 0.227589 0.354136i
\(107\) −10.3695 + 3.04475i −1.00245 + 0.294347i −0.741462 0.670994i \(-0.765867\pi\)
−0.260991 + 0.965341i \(0.584049\pi\)
\(108\) 4.94617 + 1.59231i 0.475945 + 0.153220i
\(109\) 0.308110 + 0.266979i 0.0295116 + 0.0255720i 0.669492 0.742820i \(-0.266512\pi\)
−0.639980 + 0.768391i \(0.721057\pi\)
\(110\) −2.79714 4.35244i −0.266697 0.414989i
\(111\) 6.70170 + 8.67471i 0.636097 + 0.823367i
\(112\) 1.00411 3.41969i 0.0948796 0.323130i
\(113\) −2.10451 + 4.60823i −0.197976 + 0.433506i −0.982418 0.186696i \(-0.940222\pi\)
0.784442 + 0.620202i \(0.212949\pi\)
\(114\) 0.154226 2.74052i 0.0144446 0.256673i
\(115\) −7.99666 + 4.80376i −0.745692 + 0.447953i
\(116\) 3.29140i 0.305599i
\(117\) 10.6079 17.6632i 0.980698 1.63297i
\(118\) 7.15337 + 2.10042i 0.658521 + 0.193359i
\(119\) 13.2847 11.5113i 1.21781 1.05524i
\(120\) −2.93213 + 1.65934i −0.267665 + 0.151476i
\(121\) 2.57053 2.96655i 0.233685 0.269686i
\(122\) 1.26689 8.81141i 0.114699 0.797748i
\(123\) 0.876217 0.204590i 0.0790058 0.0184472i
\(124\) −4.89085 3.14316i −0.439211 0.282264i
\(125\) −1.72085 11.9687i −0.153917 1.07052i
\(126\) −3.32242 10.1629i −0.295985 0.905381i
\(127\) 2.64549 + 5.79282i 0.234749 + 0.514030i 0.989942 0.141473i \(-0.0451839\pi\)
−0.755193 + 0.655503i \(0.772457\pi\)
\(128\) 0.989821 0.142315i 0.0874887 0.0125790i
\(129\) 5.23343 + 3.79509i 0.460777 + 0.334139i
\(130\) 3.76371 + 12.8180i 0.330099 + 1.12421i
\(131\) −1.59559 0.229412i −0.139408 0.0200438i 0.0722578 0.997386i \(-0.476980\pi\)
−0.211665 + 0.977342i \(0.567889\pi\)
\(132\) 3.30670 + 3.20778i 0.287811 + 0.279201i
\(133\) −4.75150 + 3.05360i −0.412007 + 0.264781i
\(134\) 5.60214 + 6.46522i 0.483951 + 0.558510i
\(135\) −4.43496 + 9.08230i −0.381700 + 0.781680i
\(136\) 4.48636 + 2.04885i 0.384703 + 0.175688i
\(137\) 2.47440 0.211403 0.105701 0.994398i \(-0.466291\pi\)
0.105701 + 0.994398i \(0.466291\pi\)
\(138\) 5.96149 5.78452i 0.507476 0.492411i
\(139\) 12.3439 1.04699 0.523496 0.852028i \(-0.324627\pi\)
0.523496 + 0.852028i \(0.324627\pi\)
\(140\) 6.30613 + 2.87991i 0.532965 + 0.243397i
\(141\) −14.0262 4.99025i −1.18122 0.420255i
\(142\) 2.60478 + 3.00607i 0.218588 + 0.252264i
\(143\) 15.3676 9.87618i 1.28511 0.825888i
\(144\) 2.20656 2.03251i 0.183880 0.169376i
\(145\) −6.33708 0.911135i −0.526266 0.0756656i
\(146\) 0.181049 + 0.616597i 0.0149837 + 0.0510300i
\(147\) −5.79837 + 7.99594i −0.478241 + 0.659494i
\(148\) 6.26444 0.900691i 0.514934 0.0740363i
\(149\) 9.87803 + 21.6299i 0.809240 + 1.77199i 0.610641 + 0.791908i \(0.290912\pi\)
0.198599 + 0.980081i \(0.436361\pi\)
\(150\) 0.766164 + 1.96263i 0.0625570 + 0.160248i
\(151\) 2.74441 + 19.0878i 0.223337 + 1.55334i 0.725289 + 0.688445i \(0.241706\pi\)
−0.501952 + 0.864896i \(0.667385\pi\)
\(152\) −1.33317 0.856776i −0.108134 0.0694937i
\(153\) 14.5749 2.54941i 1.17831 0.206107i
\(154\) 1.34911 9.38330i 0.108715 0.756128i
\(155\) 7.40557 8.54648i 0.594830 0.686470i
\(156\) −5.85882 10.3528i −0.469081 0.828885i
\(157\) −5.26294 + 4.56036i −0.420028 + 0.363957i −0.839082 0.544005i \(-0.816907\pi\)
0.419054 + 0.907961i \(0.362362\pi\)
\(158\) −9.18739 2.69766i −0.730909 0.214614i
\(159\) −6.64245 3.49720i −0.526781 0.277346i
\(160\) 1.94515i 0.153777i
\(161\) −16.8373 2.94311i −1.32697 0.231950i
\(162\) 2.00680 8.77341i 0.157669 0.689304i
\(163\) 4.37969 9.59019i 0.343044 0.751161i −0.656952 0.753932i \(-0.728155\pi\)
0.999996 + 0.00277075i \(0.000881957\pi\)
\(164\) 0.146358 0.498448i 0.0114286 0.0389222i
\(165\) −7.09146 + 5.47855i −0.552069 + 0.426504i
\(166\) −3.12189 4.85775i −0.242305 0.377035i
\(167\) −0.647431 0.561002i −0.0500997 0.0434117i 0.629451 0.777040i \(-0.283280\pi\)
−0.679551 + 0.733628i \(0.737825\pi\)
\(168\) −6.05128 1.22046i −0.466867 0.0941606i
\(169\) −32.7845 + 9.62640i −2.52188 + 0.740492i
\(170\) −5.18669 + 8.07064i −0.397801 + 0.618990i
\(171\) −4.75204 + 0.144344i −0.363397 + 0.0110383i
\(172\) 3.39507 1.55048i 0.258872 0.118223i
\(173\) −14.3184 + 6.53898i −1.08861 + 0.497150i −0.877139 0.480236i \(-0.840551\pi\)
−0.211466 + 0.977385i \(0.567824\pi\)
\(174\) 5.67951 0.492980i 0.430563 0.0373727i
\(175\) 2.34386 3.64712i 0.177180 0.275697i
\(176\) 2.55209 0.749360i 0.192371 0.0564852i
\(177\) 2.55298 12.6582i 0.191894 0.951448i
\(178\) 3.25203 + 2.81790i 0.243750 + 0.211210i
\(179\) −0.697158 1.08480i −0.0521080 0.0810817i 0.814222 0.580554i \(-0.197164\pi\)
−0.866330 + 0.499472i \(0.833527\pi\)
\(180\) 3.30247 + 4.81103i 0.246151 + 0.358593i
\(181\) 3.73429 12.7178i 0.277568 0.945309i −0.696216 0.717833i \(-0.745134\pi\)
0.973784 0.227477i \(-0.0730475\pi\)
\(182\) −10.1684 + 22.2657i −0.753733 + 1.65045i
\(183\) −15.3944 0.866338i −1.13799 0.0640415i
\(184\) −1.21135 4.64033i −0.0893022 0.342089i
\(185\) 12.3106i 0.905090i
\(186\) −4.69117 + 8.91024i −0.343973 + 0.653331i
\(187\) 12.5871 + 3.69590i 0.920457 + 0.270271i
\(188\) −6.49587 + 5.62870i −0.473760 + 0.410515i
\(189\) −17.0391 + 7.25523i −1.23941 + 0.527740i
\(190\) 2.01864 2.32964i 0.146448 0.169010i
\(191\) 1.27266 8.85155i 0.0920865 0.640476i −0.890543 0.454899i \(-0.849675\pi\)
0.982630 0.185577i \(-0.0594154\pi\)
\(192\) −0.393827 1.68668i −0.0284220 0.121726i
\(193\) −5.75760 3.70019i −0.414441 0.266345i 0.316762 0.948505i \(-0.397404\pi\)
−0.731203 + 0.682160i \(0.761041\pi\)
\(194\) 0.574990 + 3.99915i 0.0412819 + 0.287122i
\(195\) 21.5545 8.41437i 1.54355 0.602566i
\(196\) 2.36891 + 5.18719i 0.169208 + 0.370514i
\(197\) 14.7138 2.11553i 1.04832 0.150725i 0.403436 0.915008i \(-0.367816\pi\)
0.644882 + 0.764282i \(0.276907\pi\)
\(198\) 5.03995 6.18637i 0.358174 0.439646i
\(199\) 1.62183 + 5.52343i 0.114968 + 0.391546i 0.996792 0.0800329i \(-0.0255025\pi\)
−0.881824 + 0.471579i \(0.843684\pi\)
\(200\) 1.20403 + 0.173113i 0.0851375 + 0.0122409i
\(201\) 10.3171 10.6352i 0.727709 0.750149i
\(202\) −14.9077 + 9.58063i −1.04891 + 0.674090i
\(203\) −7.68200 8.86550i −0.539170 0.622236i
\(204\) 2.86347 8.04838i 0.200483 0.563499i
\(205\) 0.919170 + 0.419771i 0.0641976 + 0.0293181i
\(206\) 15.1629 1.05645
\(207\) −10.8744 9.42053i −0.755826 0.654772i
\(208\) −6.86794 −0.476206
\(209\) −3.83423 1.75103i −0.265219 0.121122i
\(210\) 4.02495 11.3130i 0.277748 0.780669i
\(211\) 11.6218 + 13.4123i 0.800080 + 0.923341i 0.998386 0.0567990i \(-0.0180894\pi\)
−0.198306 + 0.980140i \(0.563544\pi\)
\(212\) −3.64605 + 2.34318i −0.250412 + 0.160930i
\(213\) 4.79703 4.94495i 0.328687 0.338823i
\(214\) 10.6972 + 1.53803i 0.731247 + 0.105137i
\(215\) 2.04537 + 6.96590i 0.139493 + 0.475070i
\(216\) −3.83772 3.50312i −0.261124 0.238357i
\(217\) 20.5097 2.94885i 1.39229 0.200181i
\(218\) −0.169360 0.370846i −0.0114705 0.0251169i
\(219\) 1.03686 0.404765i 0.0700645 0.0273515i
\(220\) 0.736302 + 5.12110i 0.0496415 + 0.345264i
\(221\) −28.4959 18.3132i −1.91684 1.23188i
\(222\) −2.49248 10.6748i −0.167284 0.716444i
\(223\) −1.96918 + 13.6959i −0.131866 + 0.917148i 0.811254 + 0.584694i \(0.198786\pi\)
−0.943120 + 0.332454i \(0.892124\pi\)
\(224\) −2.33396 + 2.69354i −0.155944 + 0.179969i
\(225\) 3.27189 1.61602i 0.218126 0.107735i
\(226\) 3.82866 3.31755i 0.254679 0.220680i
\(227\) 18.5921 + 5.45913i 1.23400 + 0.362335i 0.832758 0.553637i \(-0.186761\pi\)
0.401241 + 0.915972i \(0.368579\pi\)
\(228\) −1.27874 + 2.42880i −0.0846867 + 0.160851i
\(229\) 22.5956i 1.49316i 0.665296 + 0.746579i \(0.268305\pi\)
−0.665296 + 0.746579i \(0.731695\pi\)
\(230\) 9.26957 1.04773i 0.611217 0.0690851i
\(231\) −16.3935 0.922566i −1.07862 0.0607004i
\(232\) 1.36730 2.99396i 0.0897674 0.196563i
\(233\) −7.83566 + 26.6858i −0.513331 + 1.74825i 0.138981 + 0.990295i \(0.455617\pi\)
−0.652312 + 0.757951i \(0.726201\pi\)
\(234\) −16.9868 + 11.6604i −1.11046 + 0.762263i
\(235\) −9.03900 14.0650i −0.589639 0.917497i
\(236\) −5.63439 4.88223i −0.366768 0.317806i
\(237\) −3.27891 + 16.2575i −0.212988 + 1.05604i
\(238\) −16.8661 + 4.95234i −1.09327 + 0.321013i
\(239\) −0.694698 + 1.08097i −0.0449363 + 0.0699222i −0.862995 0.505213i \(-0.831414\pi\)
0.818059 + 0.575135i \(0.195050\pi\)
\(240\) 3.35647 0.291341i 0.216659 0.0188060i
\(241\) 23.9395 10.9328i 1.54208 0.704244i 0.550631 0.834749i \(-0.314387\pi\)
0.991448 + 0.130505i \(0.0416600\pi\)
\(242\) −3.57059 + 1.63063i −0.229526 + 0.104821i
\(243\) −15.4396 2.14878i −0.990454 0.137844i
\(244\) −4.81280 + 7.48886i −0.308108 + 0.479425i
\(245\) −10.6429 + 3.12504i −0.679951 + 0.199652i
\(246\) −0.882024 0.177892i −0.0562358 0.0113420i
\(247\) 8.22551 + 7.12745i 0.523377 + 0.453509i
\(248\) 3.14316 + 4.89085i 0.199591 + 0.310569i
\(249\) −7.91476 + 6.11460i −0.501578 + 0.387497i
\(250\) −3.40666 + 11.6020i −0.215456 + 0.733776i
\(251\) 7.25869 15.8943i 0.458164 1.00324i −0.529738 0.848161i \(-0.677710\pi\)
0.987902 0.155079i \(-0.0495631\pi\)
\(252\) −1.19963 + 10.6247i −0.0755696 + 0.669291i
\(253\) −4.94572 11.7583i −0.310934 0.739238i
\(254\) 6.36831i 0.399583i
\(255\) 14.7032 + 7.74114i 0.920753 + 0.484769i
\(256\) −0.959493 0.281733i −0.0599683 0.0176083i
\(257\) 3.22526 2.79470i 0.201186 0.174329i −0.548441 0.836189i \(-0.684778\pi\)
0.749627 + 0.661861i \(0.230233\pi\)
\(258\) −3.18395 5.62618i −0.198224 0.350271i
\(259\) −14.7713 + 17.0470i −0.917845 + 1.05925i
\(260\) 1.90120 13.2232i 0.117908 0.820066i
\(261\) −1.70134 9.72652i −0.105310 0.602056i
\(262\) 1.35610 + 0.871513i 0.0837802 + 0.0538423i
\(263\) −1.18371 8.23292i −0.0729910 0.507663i −0.993217 0.116276i \(-0.962904\pi\)
0.920226 0.391387i \(-0.128005\pi\)
\(264\) −1.67532 4.29155i −0.103109 0.264127i
\(265\) −3.50212 7.66857i −0.215133 0.471076i
\(266\) 5.59063 0.803811i 0.342783 0.0492848i
\(267\) 4.37537 6.03364i 0.267769 0.369253i
\(268\) −2.41014 8.20818i −0.147223 0.501395i
\(269\) 17.5668 + 2.52573i 1.07107 + 0.153996i 0.655220 0.755438i \(-0.272576\pi\)
0.415848 + 0.909434i \(0.363485\pi\)
\(270\) 7.80710 6.41920i 0.475125 0.390660i
\(271\) −3.78240 + 2.43080i −0.229764 + 0.147661i −0.650458 0.759542i \(-0.725423\pi\)
0.420694 + 0.907203i \(0.361787\pi\)
\(272\) −3.22982 3.72741i −0.195836 0.226007i
\(273\) 39.9439 + 14.2113i 2.41752 + 0.860108i
\(274\) −2.25080 1.02790i −0.135976 0.0620980i
\(275\) 3.23543 0.195104
\(276\) −7.82574 + 2.78529i −0.471054 + 0.167655i
\(277\) 12.3707 0.743286 0.371643 0.928376i \(-0.378795\pi\)
0.371643 + 0.928376i \(0.378795\pi\)
\(278\) −11.2284 5.12782i −0.673433 0.307546i
\(279\) 16.0778 + 6.76035i 0.962554 + 0.404731i
\(280\) −4.53990 5.23932i −0.271311 0.313109i
\(281\) 14.5650 9.36036i 0.868876 0.558393i −0.0285329 0.999593i \(-0.509084\pi\)
0.897409 + 0.441200i \(0.145447\pi\)
\(282\) 10.6856 + 10.3660i 0.636319 + 0.617284i
\(283\) −10.2763 1.47751i −0.610863 0.0878289i −0.170062 0.985433i \(-0.554397\pi\)
−0.440802 + 0.897605i \(0.645306\pi\)
\(284\) −1.12062 3.81649i −0.0664966 0.226467i
\(285\) −4.32229 3.13437i −0.256030 0.185664i
\(286\) −18.0816 + 2.59974i −1.06919 + 0.153726i
\(287\) 0.769140 + 1.68418i 0.0454009 + 0.0994140i
\(288\) −2.85149 + 0.932202i −0.168026 + 0.0549305i
\(289\) −1.04249 7.25071i −0.0613232 0.426512i
\(290\) 5.38591 + 3.46132i 0.316272 + 0.203256i
\(291\) 6.81466 1.59117i 0.399482 0.0932759i
\(292\) 0.0914556 0.636087i 0.00535203 0.0372242i
\(293\) 5.82879 6.72678i 0.340521 0.392983i −0.559499 0.828831i \(-0.689006\pi\)
0.900020 + 0.435849i \(0.143552\pi\)
\(294\) 8.59601 4.86464i 0.501330 0.283711i
\(295\) 10.9597 9.49665i 0.638099 0.552916i
\(296\) −6.07250 1.78305i −0.352957 0.103637i
\(297\) −11.4298 7.77017i −0.663226 0.450871i
\(298\) 23.7787i 1.37746i
\(299\) 3.69932 + 32.7291i 0.213937 + 1.89277i
\(300\) 0.118380 2.10355i 0.00683466 0.121449i
\(301\) −5.52599 + 12.1002i −0.318513 + 0.697446i
\(302\) 5.43295 18.5029i 0.312631 1.06472i
\(303\) 18.7648 + 24.2893i 1.07801 + 1.39538i
\(304\) 0.856776 + 1.33317i 0.0491395 + 0.0764625i
\(305\) −13.0864 11.3394i −0.749323 0.649292i
\(306\) −14.3169 3.73561i −0.818441 0.213551i
\(307\) 21.4304 6.29254i 1.22310 0.359134i 0.394458 0.918914i \(-0.370932\pi\)
0.828642 + 0.559780i \(0.189114\pi\)
\(308\) −5.12516 + 7.97491i −0.292033 + 0.454412i
\(309\) −2.27108 26.1646i −0.129197 1.48845i
\(310\) −10.2867 + 4.69777i −0.584244 + 0.266815i
\(311\) −6.80421 + 3.10738i −0.385831 + 0.176203i −0.598881 0.800838i \(-0.704388\pi\)
0.213050 + 0.977041i \(0.431660\pi\)
\(312\) 1.02867 + 11.8511i 0.0582369 + 0.670934i
\(313\) −3.33547 + 5.19010i −0.188532 + 0.293362i −0.922633 0.385678i \(-0.873967\pi\)
0.734101 + 0.679040i \(0.237604\pi\)
\(314\) 6.68178 1.96195i 0.377075 0.110719i
\(315\) −20.1241 5.25086i −1.13386 0.295852i
\(316\) 7.23649 + 6.27046i 0.407085 + 0.352741i
\(317\) −0.888919 1.38318i −0.0499267 0.0776874i 0.815393 0.578908i \(-0.196521\pi\)
−0.865320 + 0.501220i \(0.832885\pi\)
\(318\) 4.58940 + 5.94054i 0.257361 + 0.333129i
\(319\) 2.46644 8.39993i 0.138094 0.470306i
\(320\) 0.808043 1.76937i 0.0451710 0.0989106i
\(321\) 1.05175 18.6891i 0.0587030 1.04312i
\(322\) 14.0932 + 9.67163i 0.785382 + 0.538979i
\(323\) 7.81605i 0.434897i
\(324\) −5.47005 + 7.14692i −0.303892 + 0.397051i
\(325\) −8.01580 2.35365i −0.444637 0.130557i
\(326\) −7.96782 + 6.90415i −0.441297 + 0.382386i
\(327\) −0.614552 + 0.347786i −0.0339848 + 0.0192326i
\(328\) −0.340194 + 0.392605i −0.0187841 + 0.0216780i
\(329\) 4.35968 30.3222i 0.240357 1.67172i
\(330\) 8.72649 2.03757i 0.480377 0.112164i
\(331\) 11.9212 + 7.66128i 0.655248 + 0.421102i 0.825580 0.564285i \(-0.190848\pi\)
−0.170333 + 0.985387i \(0.554484\pi\)
\(332\) 0.821785 + 5.71564i 0.0451013 + 0.313687i
\(333\) −18.0467 + 5.89978i −0.988952 + 0.323306i
\(334\) 0.355875 + 0.779258i 0.0194726 + 0.0426391i
\(335\) 16.4708 2.36814i 0.899895 0.129385i
\(336\) 4.99744 + 3.62396i 0.272633 + 0.197703i
\(337\) −4.74687 16.1663i −0.258578 0.880637i −0.981783 0.190004i \(-0.939150\pi\)
0.723205 0.690633i \(-0.242668\pi\)
\(338\) 33.8208 + 4.86269i 1.83961 + 0.264496i
\(339\) −6.29809 6.10969i −0.342065 0.331833i
\(340\) 8.07064 5.18669i 0.437692 0.281288i
\(341\) 10.1265 + 11.6866i 0.548382 + 0.632866i
\(342\) 4.38257 + 1.84277i 0.236982 + 0.0996454i
\(343\) 4.20641 + 1.92100i 0.227125 + 0.103725i
\(344\) −3.73236 −0.201235
\(345\) −3.19630 15.8383i −0.172083 0.852705i
\(346\) 15.7408 0.846233
\(347\) −17.0652 7.79341i −0.916108 0.418372i −0.0991518 0.995072i \(-0.531613\pi\)
−0.816956 + 0.576700i \(0.804340\pi\)
\(348\) −5.37106 1.91092i −0.287919 0.102436i
\(349\) −19.1868 22.1427i −1.02704 1.18527i −0.982500 0.186265i \(-0.940362\pi\)
−0.0445448 0.999007i \(-0.514184\pi\)
\(350\) −3.64712 + 2.34386i −0.194947 + 0.125285i
\(351\) 22.6650 + 27.5654i 1.20977 + 1.47133i
\(352\) −2.63276 0.378533i −0.140326 0.0201759i
\(353\) −3.32205 11.3139i −0.176815 0.602176i −0.999436 0.0335861i \(-0.989307\pi\)
0.822621 0.568590i \(-0.192511\pi\)
\(354\) −7.58068 + 10.4537i −0.402909 + 0.555610i
\(355\) 7.65827 1.10109i 0.406459 0.0584400i
\(356\) −1.78755 3.91419i −0.0947400 0.207452i
\(357\) 11.0718 + 28.3618i 0.585980 + 1.50107i
\(358\) 0.183515 + 1.27638i 0.00969909 + 0.0674587i
\(359\) −8.01984 5.15404i −0.423271 0.272020i 0.311618 0.950208i \(-0.399129\pi\)
−0.734889 + 0.678188i \(0.762766\pi\)
\(360\) −1.00545 5.74817i −0.0529921 0.302955i
\(361\) −2.34657 + 16.3208i −0.123504 + 0.858987i
\(362\) −8.68001 + 10.0173i −0.456211 + 0.526496i
\(363\) 3.34855 + 5.91704i 0.175754 + 0.310564i
\(364\) 18.4990 16.0295i 0.969613 0.840175i
\(365\) 1.19937 + 0.352167i 0.0627780 + 0.0184333i
\(366\) 13.6433 + 7.18311i 0.713149 + 0.375467i
\(367\) 3.14905i 0.164379i −0.996617 0.0821896i \(-0.973809\pi\)
0.996617 0.0821896i \(-0.0261913\pi\)
\(368\) −0.825775 + 4.72420i −0.0430465 + 0.246266i
\(369\) −0.174856 + 1.54863i −0.00910264 + 0.0806186i
\(370\) 5.11399 11.1981i 0.265864 0.582160i
\(371\) 4.35189 14.8212i 0.225939 0.769478i
\(372\) 7.96869 6.15626i 0.413157 0.319187i
\(373\) 2.69316 + 4.19063i 0.139446 + 0.216983i 0.903952 0.427635i \(-0.140653\pi\)
−0.764505 + 0.644617i \(0.777017\pi\)
\(374\) −9.91426 8.59076i −0.512654 0.444218i
\(375\) 20.5302 + 4.14067i 1.06018 + 0.213823i
\(376\) 8.24710 2.42157i 0.425311 0.124883i
\(377\) −12.2212 + 19.0166i −0.629426 + 0.979406i
\(378\) 18.5132 + 0.478691i 0.952217 + 0.0246212i
\(379\) −26.1945 + 11.9626i −1.34552 + 0.614479i −0.952356 0.304989i \(-0.901347\pi\)
−0.393165 + 0.919468i \(0.628620\pi\)
\(380\) −2.80399 + 1.28054i −0.143842 + 0.0656903i
\(381\) −10.9889 + 0.953836i −0.562979 + 0.0488665i
\(382\) −4.83472 + 7.52297i −0.247366 + 0.384909i
\(383\) −25.2459 + 7.41287i −1.29001 + 0.378780i −0.853581 0.520960i \(-0.825574\pi\)
−0.436426 + 0.899740i \(0.643756\pi\)
\(384\) −0.342436 + 1.69786i −0.0174749 + 0.0866437i
\(385\) −13.9357 12.0754i −0.710229 0.615417i
\(386\) 3.70019 + 5.75760i 0.188335 + 0.293054i
\(387\) −9.23144 + 6.33679i −0.469260 + 0.322117i
\(388\) 1.13828 3.87661i 0.0577872 0.196805i
\(389\) −15.3834 + 33.6850i −0.779971 + 1.70790i −0.0766148 + 0.997061i \(0.524411\pi\)
−0.703356 + 0.710838i \(0.748316\pi\)
\(390\) −23.1022 1.30010i −1.16982 0.0658332i
\(391\) −16.0232 + 17.3994i −0.810329 + 0.879924i
\(392\) 5.70252i 0.288021i
\(393\) 1.30074 2.47057i 0.0656134 0.124624i
\(394\) −14.2630 4.18800i −0.718560 0.210988i
\(395\) −14.0760 + 12.1970i −0.708242 + 0.613695i
\(396\) −7.15441 + 3.53364i −0.359523 + 0.177572i
\(397\) 5.68271 6.55820i 0.285207 0.329146i −0.595010 0.803719i \(-0.702852\pi\)
0.880217 + 0.474572i \(0.157397\pi\)
\(398\) 0.819252 5.69802i 0.0410654 0.285616i
\(399\) −2.22438 9.52658i −0.111358 0.476926i
\(400\) −1.02331 0.657639i −0.0511653 0.0328820i
\(401\) 0.773621 + 5.38065i 0.0386328 + 0.268697i 0.999978 0.00664939i \(-0.00211658\pi\)
−0.961345 + 0.275346i \(0.911207\pi\)
\(402\) −13.8027 + 5.38826i −0.688418 + 0.268742i
\(403\) −16.5869 36.3203i −0.826254 1.80924i
\(404\) 17.5405 2.52194i 0.872672 0.125471i
\(405\) −12.2461 12.5102i −0.608512 0.621636i
\(406\) 3.30493 + 11.2556i 0.164021 + 0.558604i
\(407\) −16.6623 2.39568i −0.825922 0.118750i
\(408\) −5.94812 + 6.13154i −0.294476 + 0.303556i
\(409\) 11.6681 7.49865i 0.576952 0.370784i −0.219385 0.975638i \(-0.570405\pi\)
0.796336 + 0.604854i \(0.206769\pi\)
\(410\) −0.661728 0.763674i −0.0326804 0.0377152i
\(411\) −1.43659 + 4.03785i −0.0708619 + 0.199172i
\(412\) −13.7927 6.29890i −0.679516 0.310325i
\(413\) 26.5714 1.30749
\(414\) 5.97832 + 13.0866i 0.293818 + 0.643173i
\(415\) −11.2321 −0.551362
\(416\) 6.24730 + 2.85304i 0.306299 + 0.139882i
\(417\) −7.16661 + 20.1433i −0.350950 + 0.986421i
\(418\) 2.76033 + 3.18559i 0.135012 + 0.155812i
\(419\) 19.7827 12.7136i 0.966450 0.621100i 0.0406741 0.999172i \(-0.487049\pi\)
0.925776 + 0.378073i \(0.123413\pi\)
\(420\) −8.36080 + 8.61862i −0.407965 + 0.420545i
\(421\) −1.89838 0.272946i −0.0925216 0.0133026i 0.0958985 0.995391i \(-0.469428\pi\)
−0.188420 + 0.982089i \(0.560337\pi\)
\(422\) −4.99991 17.0281i −0.243392 0.828917i
\(423\) 16.2867 19.9913i 0.791884 0.972010i
\(424\) 4.28996 0.616803i 0.208339 0.0299546i
\(425\) −2.49224 5.45724i −0.120891 0.264715i
\(426\) −6.41774 + 2.50533i −0.310941 + 0.121384i
\(427\) −4.51527 31.4044i −0.218509 1.51976i
\(428\) −9.09162 5.84283i −0.439460 0.282424i
\(429\) 7.19425 + 30.8116i 0.347342 + 1.48760i
\(430\) 1.03320 7.18608i 0.0498255 0.346544i
\(431\) −27.0851 + 31.2579i −1.30464 + 1.50564i −0.585831 + 0.810433i \(0.699232\pi\)
−0.718812 + 0.695205i \(0.755314\pi\)
\(432\) 2.03567 + 4.78080i 0.0979410 + 0.230016i
\(433\) −13.7891 + 11.9483i −0.662661 + 0.574199i −0.919902 0.392148i \(-0.871732\pi\)
0.257241 + 0.966347i \(0.417187\pi\)
\(434\) −19.8813 5.83767i −0.954331 0.280217i
\(435\) 5.16602 9.81216i 0.247692 0.470457i
\(436\) 0.407688i 0.0195247i
\(437\) 5.89171 4.80105i 0.281839 0.229665i
\(438\) −1.11131 0.0625401i −0.0531003 0.00298828i
\(439\) −4.36402 + 9.55587i −0.208283 + 0.456077i −0.984726 0.174111i \(-0.944295\pi\)
0.776443 + 0.630188i \(0.217022\pi\)
\(440\) 1.45762 4.96418i 0.0694891 0.236658i
\(441\) −9.68173 14.1043i −0.461035 0.671635i
\(442\) 18.3132 + 28.4959i 0.871070 + 1.35541i
\(443\) 2.88682 + 2.50145i 0.137157 + 0.118847i 0.720738 0.693208i \(-0.243803\pi\)
−0.583580 + 0.812055i \(0.698349\pi\)
\(444\) −2.16723 + 10.7455i −0.102852 + 0.509960i
\(445\) 8.03101 2.35812i 0.380706 0.111786i
\(446\) 7.48073 11.6402i 0.354223 0.551181i
\(447\) −41.0317 + 3.56154i −1.94073 + 0.168455i
\(448\) 3.24198 1.48056i 0.153169 0.0699501i
\(449\) 23.4815 10.7237i 1.10816 0.506081i 0.224627 0.974445i \(-0.427884\pi\)
0.883535 + 0.468364i \(0.155156\pi\)
\(450\) −3.64754 + 0.110795i −0.171947 + 0.00522292i
\(451\) −0.747034 + 1.16241i −0.0351765 + 0.0547357i
\(452\) −4.86083 + 1.42727i −0.228634 + 0.0671331i
\(453\) −32.7417 6.60355i −1.53834 0.310262i
\(454\) −14.6441 12.6892i −0.687284 0.595535i
\(455\) 25.7414 + 40.0544i 1.20678 + 1.87778i
\(456\) 2.17214 1.67810i 0.101720 0.0785843i
\(457\) −0.383433 + 1.30585i −0.0179362 + 0.0610852i −0.967975 0.251047i \(-0.919225\pi\)
0.950039 + 0.312132i \(0.101043\pi\)
\(458\) 9.38655 20.5537i 0.438605 0.960410i
\(459\) −4.30168 + 25.2642i −0.200785 + 1.17923i
\(460\) −8.86714 2.89767i −0.413432 0.135105i
\(461\) 18.8146i 0.876283i 0.898906 + 0.438142i \(0.144363\pi\)
−0.898906 + 0.438142i \(0.855637\pi\)
\(462\) 14.5288 + 7.64932i 0.675943 + 0.355878i
\(463\) −5.83743 1.71403i −0.271289 0.0796575i 0.143259 0.989685i \(-0.454242\pi\)
−0.414547 + 0.910028i \(0.636060\pi\)
\(464\) −2.48747 + 2.15541i −0.115478 + 0.100062i
\(465\) 9.64702 + 17.0467i 0.447370 + 0.790521i
\(466\) 18.2133 21.0192i 0.843713 0.973696i
\(467\) −2.11053 + 14.6791i −0.0976637 + 0.679266i 0.880897 + 0.473308i \(0.156940\pi\)
−0.978561 + 0.205958i \(0.933969\pi\)
\(468\) 20.2957 3.55007i 0.938168 0.164102i
\(469\) 25.6494 + 16.4839i 1.18438 + 0.761154i
\(470\) 2.37937 + 16.5489i 0.109752 + 0.763342i
\(471\) −4.38625 11.2360i −0.202108 0.517727i
\(472\) 3.09707 + 6.78164i 0.142554 + 0.312150i
\(473\) −9.82638 + 1.41282i −0.451818 + 0.0649616i
\(474\) 9.73620 13.4262i 0.447198 0.616686i
\(475\) 0.543093 + 1.84961i 0.0249188 + 0.0848657i
\(476\) 17.3993 + 2.50163i 0.797493 + 0.114662i
\(477\) 9.56338 8.80906i 0.437877 0.403339i
\(478\) 1.08097 0.694698i 0.0494425 0.0317747i
\(479\) −16.3955 18.9214i −0.749129 0.864541i 0.245355 0.969433i \(-0.421096\pi\)
−0.994484 + 0.104893i \(0.966550\pi\)
\(480\) −3.17418 1.12932i −0.144881 0.0515460i
\(481\) 39.5383 + 18.0565i 1.80279 + 0.823306i
\(482\) −26.3178 −1.19874
\(483\) 14.5782 25.7673i 0.663329 1.17245i
\(484\) 3.92531 0.178423
\(485\) 7.14872 + 3.26471i 0.324607 + 0.148243i
\(486\) 13.1518 + 8.36846i 0.596576 + 0.379601i
\(487\) −21.5699 24.8930i −0.977427 1.12801i −0.991759 0.128114i \(-0.959108\pi\)
0.0143323 0.999897i \(-0.495438\pi\)
\(488\) 7.48886 4.81280i 0.339005 0.217865i
\(489\) 13.1070 + 12.7149i 0.592717 + 0.574986i
\(490\) 10.9793 + 1.57859i 0.495995 + 0.0713134i
\(491\) 9.11264 + 31.0348i 0.411248 + 1.40058i 0.861535 + 0.507698i \(0.169503\pi\)
−0.450287 + 0.892884i \(0.648678\pi\)
\(492\) 0.728419 + 0.528223i 0.0328396 + 0.0238141i
\(493\) −16.0682 + 2.31025i −0.723673 + 0.104048i
\(494\) −4.52134 9.90035i −0.203425 0.445438i
\(495\) −4.82299 14.7529i −0.216777 0.663094i
\(496\) −0.827385 5.75459i −0.0371507 0.258389i
\(497\) 11.9260 + 7.66435i 0.534953 + 0.343793i
\(498\) 9.73962 2.27412i 0.436443 0.101906i
\(499\) 2.44488 17.0045i 0.109448 0.761225i −0.858994 0.511986i \(-0.828910\pi\)
0.968442 0.249240i \(-0.0801808\pi\)
\(500\) 7.91846 9.13839i 0.354124 0.408681i
\(501\) 1.29136 0.730801i 0.0576935 0.0326498i
\(502\) −13.2055 + 11.4426i −0.589389 + 0.510708i
\(503\) −29.7485 8.73494i −1.32642 0.389472i −0.459613 0.888119i \(-0.652012\pi\)
−0.866805 + 0.498648i \(0.833830\pi\)
\(504\) 5.50487 9.16619i 0.245206 0.408295i
\(505\) 34.4697i 1.53388i
\(506\) −0.385796 + 12.7503i −0.0171507 + 0.566818i
\(507\) 3.32526 59.0882i 0.147680 2.62420i
\(508\) −2.64549 + 5.79282i −0.117375 + 0.257015i
\(509\) −0.177037 + 0.602933i −0.00784704 + 0.0267245i −0.963323 0.268343i \(-0.913524\pi\)
0.955476 + 0.295068i \(0.0953421\pi\)
\(510\) −10.1588 13.1495i −0.449837 0.582271i
\(511\) 1.23827 + 1.92678i 0.0547776 + 0.0852356i
\(512\) 0.755750 + 0.654861i 0.0333997 + 0.0289410i
\(513\) 2.52340 7.83840i 0.111411 0.346074i
\(514\) −4.09476 + 1.20233i −0.180612 + 0.0530325i
\(515\) 15.9457 24.8120i 0.702652 1.09335i
\(516\) 0.559027 + 6.44041i 0.0246098 + 0.283523i
\(517\) 20.7959 9.49719i 0.914605 0.417686i
\(518\) 20.5181 9.37028i 0.901511 0.411706i
\(519\) −2.35764 27.1618i −0.103489 1.19227i
\(520\) −7.22250 + 11.2384i −0.316727 + 0.492838i
\(521\) −8.03896 + 2.36045i −0.352193 + 0.103413i −0.453044 0.891488i \(-0.649662\pi\)
0.100850 + 0.994902i \(0.467844\pi\)
\(522\) −2.49295 + 9.55431i −0.109113 + 0.418181i
\(523\) 14.3775 + 12.4582i 0.628684 + 0.544758i 0.909869 0.414896i \(-0.136182\pi\)
−0.281185 + 0.959654i \(0.590727\pi\)
\(524\) −0.871513 1.35610i −0.0380722 0.0592415i
\(525\) 4.59075 + 5.94228i 0.200357 + 0.259342i
\(526\) −2.34333 + 7.98066i −0.102174 + 0.347973i
\(527\) 11.9116 26.0827i 0.518875 1.13618i
\(528\) −0.258853 + 4.59968i −0.0112651 + 0.200175i
\(529\) 22.9579 + 1.39059i 0.998171 + 0.0604605i
\(530\) 8.43041i 0.366193i
\(531\) 19.1740 + 11.5152i 0.832082 + 0.499717i
\(532\) −5.41933 1.59126i −0.234958 0.0689898i
\(533\) 2.69639 2.33643i 0.116794 0.101202i
\(534\) −6.48644 + 3.67079i −0.280696 + 0.158851i
\(535\) 13.7662 15.8871i 0.595167 0.686859i
\(536\) −1.21746 + 8.46763i −0.0525863 + 0.365746i
\(537\) 2.17498 0.507841i 0.0938575 0.0219150i
\(538\) −14.9301 9.59500i −0.643683 0.413670i
\(539\) −2.15859 15.0133i −0.0929771 0.646670i
\(540\) −9.76822 + 2.59593i −0.420357 + 0.111711i
\(541\) −5.45778 11.9509i −0.234648 0.513808i 0.755276 0.655407i \(-0.227503\pi\)
−0.989924 + 0.141599i \(0.954776\pi\)
\(542\) 4.45038 0.639868i 0.191160 0.0274847i
\(543\) 18.5855 + 13.4775i 0.797580 + 0.578376i
\(544\) 1.38952 + 4.73228i 0.0595753 + 0.202895i
\(545\) −0.784942 0.112858i −0.0336232 0.00483429i
\(546\) −30.4307 29.5204i −1.30231 1.26336i
\(547\) 0.0454444 0.0292053i 0.00194306 0.00124873i −0.539669 0.841877i \(-0.681451\pi\)
0.541612 + 0.840629i \(0.317814\pi\)
\(548\) 1.62039 + 1.87003i 0.0692196 + 0.0798837i
\(549\) 10.3514 24.6183i 0.441788 1.05068i
\(550\) −2.94305 1.34405i −0.125492 0.0573104i
\(551\) 5.21602 0.222210
\(552\) 8.27559 + 0.717342i 0.352233 + 0.0305321i
\(553\) −34.1268 −1.45122
\(554\) −11.2528 5.13899i −0.478087 0.218335i
\(555\) −20.0889 7.14728i −0.852728 0.303385i
\(556\) 8.08351 + 9.32886i 0.342817 + 0.395632i
\(557\) 24.8206 15.9512i 1.05168 0.675874i 0.103832 0.994595i \(-0.466890\pi\)
0.947849 + 0.318721i \(0.103253\pi\)
\(558\) −11.8166 12.8284i −0.500234 0.543069i
\(559\) 25.3727 + 3.64804i 1.07315 + 0.154296i
\(560\) 1.95314 + 6.65180i 0.0825354 + 0.281090i
\(561\) −13.3389 + 18.3944i −0.563171 + 0.776612i
\(562\) −17.1372 + 2.46396i −0.722891 + 0.103936i
\(563\) −0.714815 1.56523i −0.0301259 0.0659665i 0.893971 0.448125i \(-0.147908\pi\)
−0.924097 + 0.382159i \(0.875181\pi\)
\(564\) −5.41380 13.8682i −0.227962 0.583956i
\(565\) −1.40240 9.75389i −0.0589993 0.410349i
\(566\) 8.73388 + 5.61293i 0.367112 + 0.235929i
\(567\) −1.94687 32.0174i −0.0817608 1.34460i
\(568\) −0.566072 + 3.93712i −0.0237519 + 0.165198i
\(569\) 9.59261 11.0705i 0.402143 0.464098i −0.518172 0.855277i \(-0.673387\pi\)
0.920315 + 0.391179i \(0.127933\pi\)
\(570\) 2.62963 + 4.64666i 0.110143 + 0.194627i
\(571\) −6.32970 + 5.48471i −0.264890 + 0.229528i −0.777171 0.629290i \(-0.783346\pi\)
0.512281 + 0.858818i \(0.328801\pi\)
\(572\) 17.5276 + 5.14656i 0.732865 + 0.215189i
\(573\) 13.7055 + 7.21583i 0.572555 + 0.301446i
\(574\) 1.85150i 0.0772800i
\(575\) −2.58278 + 5.23078i −0.107709 + 0.218139i
\(576\) 2.98106 + 0.336591i 0.124211 + 0.0140246i
\(577\) −12.2089 + 26.7338i −0.508263 + 1.11294i 0.465431 + 0.885084i \(0.345899\pi\)
−0.973695 + 0.227857i \(0.926828\pi\)
\(578\) −2.06377 + 7.02855i −0.0858414 + 0.292349i
\(579\) 9.38089 7.24727i 0.389857 0.301186i
\(580\) −3.46132 5.38591i −0.143723 0.223638i
\(581\) −15.5536 13.4773i −0.645272 0.559132i
\(582\) −6.85982 1.38353i −0.284349 0.0573493i
\(583\) 11.0609 3.24778i 0.458097 0.134509i
\(584\) −0.347431 + 0.540613i −0.0143768 + 0.0223707i
\(585\) 1.21680 + 40.0589i 0.0503085 + 1.65623i
\(586\) −8.09646 + 3.69753i −0.334462 + 0.152743i
\(587\) 38.2153 17.4523i 1.57731 0.720334i 0.581656 0.813435i \(-0.302405\pi\)
0.995657 + 0.0931008i \(0.0296779\pi\)
\(588\) −9.84005 + 0.854114i −0.405797 + 0.0352231i
\(589\) −4.98110 + 7.75074i −0.205242 + 0.319364i
\(590\) −13.9144 + 4.08562i −0.572845 + 0.168202i
\(591\) −5.09036 + 25.2390i −0.209389 + 1.03819i
\(592\) 4.78303 + 4.14452i 0.196581 + 0.170339i
\(593\) −23.6188 36.7515i −0.969907 1.50921i −0.856817 0.515620i \(-0.827561\pi\)
−0.113090 0.993585i \(-0.536075\pi\)
\(594\) 7.16910 + 11.8161i 0.294152 + 0.484821i
\(595\) −9.63303 + 32.8071i −0.394916 + 1.34496i
\(596\) −9.87803 + 21.6299i −0.404620 + 0.885994i
\(597\) −9.95500 0.560229i −0.407431 0.0229287i
\(598\) 10.2311 31.3082i 0.418382 1.28029i
\(599\) 1.50518i 0.0614999i 0.999527 + 0.0307499i \(0.00978956\pi\)
−0.999527 + 0.0307499i \(0.990210\pi\)
\(600\) −0.981528 + 1.86428i −0.0400707 + 0.0761089i
\(601\) 27.0780 + 7.95081i 1.10453 + 0.324320i 0.782652 0.622460i \(-0.213866\pi\)
0.321882 + 0.946780i \(0.395685\pi\)
\(602\) 10.0532 8.71118i 0.409739 0.355041i
\(603\) 11.3651 + 23.0105i 0.462824 + 0.937058i
\(604\) −12.6284 + 14.5739i −0.513841 + 0.593004i
\(605\) −1.08662 + 7.55758i −0.0441772 + 0.307259i
\(606\) −6.97896 29.8895i −0.283501 1.21418i
\(607\) −2.32503 1.49421i −0.0943702 0.0606480i 0.492605 0.870253i \(-0.336045\pi\)
−0.586975 + 0.809605i \(0.699681\pi\)
\(608\) −0.225532 1.56861i −0.00914654 0.0636156i
\(609\) 18.9272 7.38870i 0.766967 0.299405i
\(610\) 7.19321 + 15.7509i 0.291245 + 0.637737i
\(611\) −58.4309 + 8.40109i −2.36386 + 0.339872i
\(612\) 11.4712 + 9.34548i 0.463698 + 0.377768i
\(613\) −5.47446 18.6443i −0.221111 0.753036i −0.993087 0.117383i \(-0.962549\pi\)
0.771975 0.635652i \(-0.219269\pi\)
\(614\) −22.1078 3.17863i −0.892199 0.128279i
\(615\) −1.21866 + 1.25623i −0.0491409 + 0.0506563i
\(616\) 7.97491 5.12516i 0.321318 0.206499i
\(617\) 0.262825 + 0.303316i 0.0105809 + 0.0122110i 0.761015 0.648734i \(-0.224701\pi\)
−0.750434 + 0.660945i \(0.770156\pi\)
\(618\) −8.80331 + 24.7436i −0.354121 + 0.995332i
\(619\) 1.91437 + 0.874263i 0.0769450 + 0.0351396i 0.453516 0.891248i \(-0.350170\pi\)
−0.376571 + 0.926388i \(0.622897\pi\)
\(620\) 11.3086 0.454165
\(621\) 21.6864 12.2761i 0.870244 0.492621i
\(622\) 7.48018 0.299928
\(623\) 13.9504 + 6.37094i 0.558911 + 0.255246i
\(624\) 3.98740 11.2074i 0.159624 0.448656i
\(625\) 11.4197 + 13.1790i 0.456787 + 0.527160i
\(626\) 5.19010 3.33547i 0.207438 0.133312i
\(627\) 5.08350 5.24026i 0.203016 0.209276i
\(628\) −6.89299 0.991062i −0.275060 0.0395477i
\(629\) 8.79410 + 29.9499i 0.350644 + 1.19418i
\(630\) 16.1242 + 13.1362i 0.642405 + 0.523359i
\(631\) −23.8344 + 3.42687i −0.948833 + 0.136422i −0.599319 0.800510i \(-0.704562\pi\)
−0.349513 + 0.936931i \(0.613653\pi\)
\(632\) −3.97770 8.70996i −0.158225 0.346463i
\(633\) −28.6342 + 11.1781i −1.13811 + 0.444290i
\(634\) 0.233993 + 1.62746i 0.00929306 + 0.0646347i
\(635\) −10.4209 6.69708i −0.413539 0.265765i
\(636\) −1.70688 7.31021i −0.0676820 0.289869i
\(637\) −5.57369 + 38.7659i −0.220838 + 1.53596i
\(638\) −5.73301 + 6.61625i −0.226972 + 0.261940i
\(639\) 5.28434 + 10.6990i 0.209045 + 0.423245i
\(640\) −1.47004 + 1.27380i −0.0581086 + 0.0503514i
\(641\) 3.31805 + 0.974269i 0.131055 + 0.0384813i 0.346602 0.938012i \(-0.387335\pi\)
−0.215547 + 0.976493i \(0.569153\pi\)
\(642\) −8.72044 + 16.5633i −0.344168 + 0.653701i
\(643\) 1.57310i 0.0620370i −0.999519 0.0310185i \(-0.990125\pi\)
0.999519 0.0310185i \(-0.00987508\pi\)
\(644\) −8.80186 14.6521i −0.346842 0.577375i
\(645\) −12.5548 0.706535i −0.494344 0.0278198i
\(646\) 3.24691 7.10973i 0.127748 0.279729i
\(647\) −4.76522 + 16.2288i −0.187340 + 0.638022i 0.811238 + 0.584716i \(0.198794\pi\)
−0.998578 + 0.0533057i \(0.983024\pi\)
\(648\) 7.94467 4.22873i 0.312096 0.166120i
\(649\) 10.7209 + 16.6821i 0.420833 + 0.654828i
\(650\) 6.31369 + 5.47084i 0.247643 + 0.214584i
\(651\) −7.09547 + 35.1807i −0.278094 + 1.37884i
\(652\) 10.1159 2.97029i 0.396168 0.116325i
\(653\) 5.19435 8.08256i 0.203270 0.316295i −0.724619 0.689149i \(-0.757984\pi\)
0.927890 + 0.372854i \(0.121621\pi\)
\(654\) 0.703492 0.0610629i 0.0275087 0.00238775i
\(655\) 2.85222 1.30257i 0.111445 0.0508954i
\(656\) 0.472546 0.215804i 0.0184498 0.00842575i
\(657\) 0.0585330 + 1.92700i 0.00228359 + 0.0751793i
\(658\) −16.5620 + 25.7710i −0.645654 + 1.00466i
\(659\) −3.33308 + 0.978681i −0.129838 + 0.0381240i −0.346006 0.938232i \(-0.612462\pi\)
0.216168 + 0.976356i \(0.430644\pi\)
\(660\) −8.78433 1.77168i −0.341930 0.0689625i
\(661\) −30.0723 26.0578i −1.16968 1.01353i −0.999605 0.0281001i \(-0.991054\pi\)
−0.170073 0.985432i \(-0.554400\pi\)
\(662\) −7.66128 11.9212i −0.297764 0.463330i
\(663\) 46.4285 35.8686i 1.80313 1.39302i
\(664\) 1.62684 5.54051i 0.0631337 0.215014i
\(665\) 4.56392 9.99359i 0.176981 0.387535i
\(666\) 18.8667 + 2.13024i 0.731070 + 0.0825450i
\(667\) 11.6114 + 10.6930i 0.449595 + 0.414036i
\(668\) 0.856674i 0.0331457i
\(669\) −21.2064 11.1650i −0.819887 0.431664i
\(670\) −15.9661 4.68807i −0.616825 0.181116i
\(671\) 17.8945 15.5057i 0.690811 0.598591i
\(672\) −3.04038 5.37249i −0.117285 0.207248i
\(673\) 12.0600 13.9180i 0.464881 0.536501i −0.474100 0.880471i \(-0.657226\pi\)
0.938981 + 0.343970i \(0.111772\pi\)
\(674\) −2.39784 + 16.6773i −0.0923613 + 0.642387i
\(675\) 0.737506 + 6.27746i 0.0283866 + 0.241620i
\(676\) −28.7444 18.4729i −1.10555 0.710497i
\(677\) −5.82408 40.5074i −0.223838 1.55683i −0.723327 0.690506i \(-0.757388\pi\)
0.499489 0.866320i \(-0.333521\pi\)
\(678\) 3.19089 + 8.17389i 0.122545 + 0.313916i
\(679\) 5.98188 + 13.0985i 0.229563 + 0.502674i
\(680\) −9.49594 + 1.36531i −0.364153 + 0.0523572i
\(681\) −19.7027 + 27.1700i −0.755008 + 1.04116i
\(682\) −4.35660 14.8372i −0.166823 0.568147i
\(683\) 15.7474 + 2.26414i 0.602559 + 0.0866349i 0.436842 0.899538i \(-0.356097\pi\)
0.165717 + 0.986173i \(0.447006\pi\)
\(684\) −3.22101 3.49682i −0.123158 0.133704i
\(685\) −4.04902 + 2.60215i −0.154705 + 0.0994229i
\(686\) −3.02827 3.49481i −0.115620 0.133433i
\(687\) −36.8725 13.1186i −1.40678 0.500505i
\(688\) 3.39507 + 1.55048i 0.129436 + 0.0591114i
\(689\) −29.7661 −1.13400
\(690\) −3.67201 + 15.7348i −0.139791 + 0.599014i
\(691\) 26.0430 0.990723 0.495361 0.868687i \(-0.335036\pi\)
0.495361 + 0.868687i \(0.335036\pi\)
\(692\) −14.3184 6.53898i −0.544303 0.248575i
\(693\) 11.0233 26.2161i 0.418739 0.995868i
\(694\) 12.2855 + 14.1783i 0.466353 + 0.538200i
\(695\) −20.1990 + 12.9811i −0.766192 + 0.492402i
\(696\) 4.09186 + 3.96945i 0.155102 + 0.150462i
\(697\) 2.53608 + 0.364634i 0.0960611 + 0.0138115i
\(698\) 8.25449 + 28.1122i 0.312437 + 1.06406i
\(699\) −38.9979 28.2799i −1.47504 1.06964i
\(700\) 4.29122 0.616984i 0.162193 0.0233198i
\(701\) 9.63468 + 21.0970i 0.363897 + 0.796823i 0.999688 + 0.0249619i \(0.00794646\pi\)
−0.635792 + 0.771861i \(0.719326\pi\)
\(702\) −9.16572 34.4897i −0.345938 1.30173i
\(703\) −1.42736 9.92752i −0.0538340 0.374424i
\(704\) 2.23759 + 1.43801i 0.0843324 + 0.0541971i
\(705\) 28.1997 6.58441i 1.06206 0.247983i
\(706\) −1.67811 + 11.6715i −0.0631564 + 0.439262i
\(707\) −41.3598 + 47.7318i −1.55550 + 1.79514i
\(708\) 11.2383 6.35994i 0.422360 0.239021i
\(709\) 30.4072 26.3480i 1.14197 0.989520i 0.141967 0.989871i \(-0.454657\pi\)
1.00000 0.000351106i \(0.000111761\pi\)
\(710\) −7.42362 2.17977i −0.278604 0.0818054i
\(711\) −24.6260 14.7895i −0.923548 0.554648i
\(712\) 4.30305i 0.161264i
\(713\) −26.9778 + 7.04252i −1.01032 + 0.263745i
\(714\) 1.71069 30.3982i 0.0640211 1.13762i
\(715\) −14.7610 + 32.3220i −0.552028 + 1.20877i
\(716\) 0.363295 1.23727i 0.0135770 0.0462389i
\(717\) −1.36065 1.76123i −0.0508144 0.0657744i
\(718\) 5.15404 + 8.01984i 0.192347 + 0.299298i
\(719\) 9.14024 + 7.92006i 0.340873 + 0.295368i 0.808427 0.588596i \(-0.200319\pi\)
−0.467554 + 0.883965i \(0.654865\pi\)
\(720\) −1.47328 + 5.64640i −0.0549059 + 0.210429i
\(721\) 51.8525 15.2253i 1.93109 0.567018i
\(722\) 8.91441 13.8711i 0.331760 0.516228i
\(723\) 3.94184 + 45.4130i 0.146598 + 1.68893i
\(724\) 12.0569 5.50622i 0.448093 0.204637i
\(725\) −3.64187 + 1.66319i −0.135256 + 0.0617692i
\(726\) −0.587927 6.77337i −0.0218200 0.251383i
\(727\) 7.46309 11.6128i 0.276791 0.430695i −0.674828 0.737975i \(-0.735782\pi\)
0.951619 + 0.307280i \(0.0994188\pi\)
\(728\) −23.4862 + 6.89618i −0.870457 + 0.255589i
\(729\) 12.4705 23.9476i 0.461869 0.886948i
\(730\) −0.944692 0.818580i −0.0349646 0.0302970i
\(731\) 9.95224 + 15.4860i 0.368097 + 0.572770i
\(732\) −9.42645 12.2016i −0.348412 0.450985i
\(733\) −13.7465 + 46.8163i −0.507739 + 1.72920i 0.162174 + 0.986762i \(0.448149\pi\)
−0.669914 + 0.742439i \(0.733669\pi\)
\(734\) −1.30816 + 2.86448i −0.0482852 + 0.105730i
\(735\) 1.07949 19.1820i 0.0398175 0.707537i
\(736\) 2.71366 3.95425i 0.100027 0.145755i
\(737\) 22.7541i 0.838157i
\(738\) 0.802380 1.33605i 0.0295360 0.0491806i
\(739\) −21.9451 6.44365i −0.807262 0.237033i −0.148039 0.988981i \(-0.547296\pi\)
−0.659222 + 0.751948i \(0.729114\pi\)
\(740\) −9.30370 + 8.06170i −0.342011 + 0.296354i
\(741\) −16.4065 + 9.28472i −0.602707 + 0.341083i
\(742\) −10.1156 + 11.6740i −0.371354 + 0.428565i
\(743\) 0.339282 2.35976i 0.0124471 0.0865712i −0.982651 0.185464i \(-0.940621\pi\)
0.995098 + 0.0988931i \(0.0315302\pi\)
\(744\) −9.80598 + 2.28962i −0.359505 + 0.0839415i
\(745\) −38.9106 25.0063i −1.42557 0.916160i
\(746\) −0.708929 4.93071i −0.0259557 0.180526i
\(747\) −5.38293 16.4657i −0.196951 0.602449i
\(748\) 5.44960 + 11.9330i 0.199257 + 0.436312i
\(749\) 38.1255 5.48162i 1.39308 0.200294i
\(750\) −16.9549 12.2951i −0.619104 0.448952i
\(751\) −8.79675 29.9590i −0.320998 1.09322i −0.949070 0.315064i \(-0.897974\pi\)
0.628072 0.778155i \(-0.283844\pi\)
\(752\) −8.50778 1.22323i −0.310247 0.0446067i
\(753\) 21.7228 + 21.0730i 0.791624 + 0.767943i
\(754\) 19.0166 12.2212i 0.692545 0.445071i
\(755\) −24.5640 28.3484i −0.893976 1.03170i
\(756\) −16.6414 8.12610i −0.605240 0.295543i
\(757\) 5.26171 + 2.40294i 0.191240 + 0.0873365i 0.508734 0.860924i \(-0.330114\pi\)
−0.317493 + 0.948261i \(0.602841\pi\)
\(758\) 28.7968 1.04595
\(759\) 22.0592 1.24400i 0.800696 0.0451543i
\(760\) 3.08256 0.111816
\(761\) 1.90441 + 0.869715i 0.0690348 + 0.0315271i 0.449633 0.893213i \(-0.351555\pi\)
−0.380598 + 0.924740i \(0.624282\pi\)
\(762\) 10.3921 + 3.69732i 0.376466 + 0.133940i
\(763\) −0.951529 1.09812i −0.0344477 0.0397547i
\(764\) 7.52297 4.83472i 0.272172 0.174914i
\(765\) −21.1688 + 19.4991i −0.765359 + 0.704991i
\(766\) 26.0439 + 3.74455i 0.941005 + 0.135296i
\(767\) −14.4256 49.1289i −0.520877 1.77394i
\(768\) 1.01681 1.40218i 0.0366909 0.0505967i
\(769\) −19.5069 + 2.80467i −0.703436 + 0.101139i −0.484745 0.874655i \(-0.661088\pi\)
−0.218691 + 0.975794i \(0.570179\pi\)
\(770\) 7.66008 + 16.7732i 0.276050 + 0.604465i
\(771\) 2.68800 + 6.88569i 0.0968061 + 0.247982i
\(772\) −0.974013 6.77441i −0.0350555