Properties

Label 138.2.f.a.11.1
Level $138$
Weight $2$
Character 138.11
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 11.1
Character \(\chi\) \(=\) 138.11
Dual form 138.2.f.a.113.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.540641 - 0.841254i) q^{2} +(-1.59667 + 0.671295i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(1.80115 - 0.528864i) q^{5} +(1.42796 + 0.980277i) q^{6} +(1.49075 - 1.29175i) q^{7} +(0.989821 - 0.142315i) q^{8} +(2.09873 - 2.14368i) q^{9} +O(q^{10})\) \(q+(-0.540641 - 0.841254i) q^{2} +(-1.59667 + 0.671295i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(1.80115 - 0.528864i) q^{5} +(1.42796 + 0.980277i) q^{6} +(1.49075 - 1.29175i) q^{7} +(0.989821 - 0.142315i) q^{8} +(2.09873 - 2.14368i) q^{9} +(-1.41868 - 1.22930i) q^{10} +(1.85571 + 1.19259i) q^{11} +(0.0526500 - 1.73125i) q^{12} +(2.95529 - 3.41059i) q^{13} +(-1.89265 - 0.555732i) q^{14} +(-2.52082 + 2.05352i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(0.301664 + 0.660552i) q^{17} +(-2.93803 - 0.606601i) q^{18} +(-0.501549 - 0.229050i) q^{19} +(-0.267151 + 1.85808i) q^{20} +(-1.51310 + 3.06323i) q^{21} -2.20589i q^{22} +(-3.69884 + 3.05263i) q^{23} +(-1.48489 + 0.891693i) q^{24} +(-1.24184 + 0.798080i) q^{25} +(-4.46692 - 0.642246i) q^{26} +(-1.91194 + 4.83161i) q^{27} +(0.555732 + 1.89265i) q^{28} +(1.91619 - 0.875096i) q^{29} +(3.09039 + 1.01043i) q^{30} +(0.655155 + 4.55670i) q^{31} +(-0.281733 + 0.959493i) q^{32} +(-3.76355 - 0.658450i) q^{33} +(0.392600 - 0.610897i) q^{34} +(2.00191 - 3.11503i) q^{35} +(1.07812 + 2.79958i) q^{36} +(2.84409 - 9.68610i) q^{37} +(0.0784689 + 0.545763i) q^{38} +(-2.42912 + 7.42946i) q^{39} +(1.70755 - 0.779811i) q^{40} +(3.00908 + 10.2480i) q^{41} +(3.39500 - 0.383205i) q^{42} +(-10.2475 - 1.47337i) q^{43} +(-1.85571 + 1.19259i) q^{44} +(2.64640 - 4.97102i) q^{45} +(4.56778 + 1.46129i) q^{46} -10.8344i q^{47} +(1.55293 + 0.767080i) q^{48} +(-0.442463 + 3.07740i) q^{49} +(1.34277 + 0.613225i) q^{50} +(-0.925084 - 0.852180i) q^{51} +(1.87471 + 4.10503i) q^{52} +(-1.98330 - 2.28885i) q^{53} +(5.09828 - 1.00375i) q^{54} +(3.97313 + 1.16662i) q^{55} +(1.29175 - 1.49075i) q^{56} +(0.954569 + 0.0290299i) q^{57} +(-1.77215 - 1.13889i) q^{58} +(-4.87697 - 4.22592i) q^{59} +(-0.820766 - 3.14608i) q^{60} +(-14.8890 + 2.14072i) q^{61} +(3.47914 - 3.01469i) q^{62} +(0.359597 - 5.90672i) q^{63} +(0.959493 - 0.281733i) q^{64} +(3.51917 - 7.70591i) q^{65} +(1.48080 + 3.52208i) q^{66} +(3.42273 + 5.32586i) q^{67} -0.726175 q^{68} +(3.85663 - 7.35707i) q^{69} -3.70284 q^{70} +(-1.36094 - 2.11766i) q^{71} +(1.77229 - 2.42054i) q^{72} +(-2.06209 + 4.51534i) q^{73} +(-9.68610 + 2.84409i) q^{74} +(1.44706 - 2.10791i) q^{75} +(0.416702 - 0.361074i) q^{76} +(4.30694 - 0.619244i) q^{77} +(7.56334 - 1.97316i) q^{78} +(10.6252 + 9.20675i) q^{79} +(-1.57919 - 1.01488i) q^{80} +(-0.190705 - 8.99798i) q^{81} +(6.99432 - 8.07188i) q^{82} +(10.5768 + 3.10563i) q^{83} +(-2.15785 - 2.64888i) q^{84} +(0.892684 + 1.03021i) q^{85} +(4.30074 + 9.41731i) q^{86} +(-2.47208 + 2.68357i) q^{87} +(2.00655 + 0.916359i) q^{88} +(-0.391167 + 2.72063i) q^{89} +(-5.61264 + 0.461244i) q^{90} -8.90183i q^{91} +(-1.24021 - 4.63270i) q^{92} +(-4.10496 - 6.83576i) q^{93} +(-9.11445 + 5.85750i) q^{94} +(-1.02450 - 0.147301i) q^{95} +(-0.194269 - 1.72112i) q^{96} +(1.95701 + 6.66496i) q^{97} +(2.82809 - 1.29154i) q^{98} +(6.45116 - 1.47512i) 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 \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{9}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.540641 0.841254i −0.382291 0.594856i
\(3\) −1.59667 + 0.671295i −0.921839 + 0.387573i
\(4\) −0.415415 + 0.909632i −0.207708 + 0.454816i
\(5\) 1.80115 0.528864i 0.805497 0.236515i 0.147037 0.989131i \(-0.453026\pi\)
0.658460 + 0.752616i \(0.271208\pi\)
\(6\) 1.42796 + 0.980277i 0.582961 + 0.400196i
\(7\) 1.49075 1.29175i 0.563452 0.488234i −0.325933 0.945393i \(-0.605678\pi\)
0.889385 + 0.457159i \(0.151133\pi\)
\(8\) 0.989821 0.142315i 0.349955 0.0503159i
\(9\) 2.09873 2.14368i 0.699575 0.714559i
\(10\) −1.41868 1.22930i −0.448627 0.388737i
\(11\) 1.85571 + 1.19259i 0.559518 + 0.359580i 0.789630 0.613584i \(-0.210273\pi\)
−0.230112 + 0.973164i \(0.573909\pi\)
\(12\) 0.0526500 1.73125i 0.0151987 0.499769i
\(13\) 2.95529 3.41059i 0.819650 0.945926i −0.179635 0.983733i \(-0.557492\pi\)
0.999285 + 0.0378070i \(0.0120372\pi\)
\(14\) −1.89265 0.555732i −0.505832 0.148526i
\(15\) −2.52082 + 2.05352i −0.650872 + 0.530218i
\(16\) −0.654861 0.755750i −0.163715 0.188937i
\(17\) 0.301664 + 0.660552i 0.0731643 + 0.160207i 0.942680 0.333697i \(-0.108296\pi\)
−0.869516 + 0.493905i \(0.835569\pi\)
\(18\) −2.93803 0.606601i −0.692501 0.142977i
\(19\) −0.501549 0.229050i −0.115063 0.0525476i 0.357052 0.934085i \(-0.383782\pi\)
−0.472115 + 0.881537i \(0.656509\pi\)
\(20\) −0.267151 + 1.85808i −0.0597369 + 0.415479i
\(21\) −1.51310 + 3.06323i −0.330186 + 0.668452i
\(22\) 2.20589i 0.470297i
\(23\) −3.69884 + 3.05263i −0.771262 + 0.636517i
\(24\) −1.48489 + 0.891693i −0.303101 + 0.182016i
\(25\) −1.24184 + 0.798080i −0.248367 + 0.159616i
\(26\) −4.46692 0.642246i −0.876035 0.125955i
\(27\) −1.91194 + 4.83161i −0.367952 + 0.929845i
\(28\) 0.555732 + 1.89265i 0.105023 + 0.357677i
\(29\) 1.91619 0.875096i 0.355828 0.162501i −0.229478 0.973314i \(-0.573702\pi\)
0.585306 + 0.810813i \(0.300975\pi\)
\(30\) 3.09039 + 1.01043i 0.564226 + 0.184478i
\(31\) 0.655155 + 4.55670i 0.117669 + 0.818408i 0.960111 + 0.279620i \(0.0902084\pi\)
−0.842442 + 0.538788i \(0.818882\pi\)
\(32\) −0.281733 + 0.959493i −0.0498038 + 0.169616i
\(33\) −3.76355 0.658450i −0.655149 0.114622i
\(34\) 0.392600 0.610897i 0.0673303 0.104768i
\(35\) 2.00191 3.11503i 0.338384 0.526536i
\(36\) 1.07812 + 2.79958i 0.179686 + 0.466597i
\(37\) 2.84409 9.68610i 0.467566 1.59238i −0.301665 0.953414i \(-0.597542\pi\)
0.769231 0.638970i \(-0.220639\pi\)
\(38\) 0.0784689 + 0.545763i 0.0127293 + 0.0885345i
\(39\) −2.42912 + 7.42946i −0.388970 + 1.18967i
\(40\) 1.70755 0.779811i 0.269987 0.123299i
\(41\) 3.00908 + 10.2480i 0.469940 + 1.60047i 0.764359 + 0.644791i \(0.223055\pi\)
−0.294420 + 0.955676i \(0.595126\pi\)
\(42\) 3.39500 0.383205i 0.523860 0.0591297i
\(43\) −10.2475 1.47337i −1.56273 0.224687i −0.694000 0.719975i \(-0.744153\pi\)
−0.868729 + 0.495288i \(0.835063\pi\)
\(44\) −1.85571 + 1.19259i −0.279759 + 0.179790i
\(45\) 2.64640 4.97102i 0.394502 0.741036i
\(46\) 4.56778 + 1.46129i 0.673483 + 0.215455i
\(47\) 10.8344i 1.58035i −0.612878 0.790177i \(-0.709988\pi\)
0.612878 0.790177i \(-0.290012\pi\)
\(48\) 1.55293 + 0.767080i 0.224146 + 0.110718i
\(49\) −0.442463 + 3.07740i −0.0632090 + 0.439628i
\(50\) 1.34277 + 0.613225i 0.189897 + 0.0867231i
\(51\) −0.925084 0.852180i −0.129538 0.119329i
\(52\) 1.87471 + 4.10503i 0.259975 + 0.569266i
\(53\) −1.98330 2.28885i −0.272428 0.314398i 0.603006 0.797737i \(-0.293970\pi\)
−0.875434 + 0.483338i \(0.839424\pi\)
\(54\) 5.09828 1.00375i 0.693789 0.136592i
\(55\) 3.97313 + 1.16662i 0.535737 + 0.157306i
\(56\) 1.29175 1.49075i 0.172617 0.199210i
\(57\) 0.954569 + 0.0290299i 0.126436 + 0.00384511i
\(58\) −1.77215 1.13889i −0.232695 0.149544i
\(59\) −4.87697 4.22592i −0.634927 0.550168i 0.276819 0.960922i \(-0.410720\pi\)
−0.911746 + 0.410755i \(0.865265\pi\)
\(60\) −0.820766 3.14608i −0.105960 0.406157i
\(61\) −14.8890 + 2.14072i −1.90634 + 0.274091i −0.991539 0.129807i \(-0.958564\pi\)
−0.914804 + 0.403898i \(0.867655\pi\)
\(62\) 3.47914 3.01469i 0.441851 0.382866i
\(63\) 0.359597 5.90672i 0.0453050 0.744176i
\(64\) 0.959493 0.281733i 0.119937 0.0352166i
\(65\) 3.51917 7.70591i 0.436500 0.955801i
\(66\) 1.48080 + 3.52208i 0.182274 + 0.433538i
\(67\) 3.42273 + 5.32586i 0.418152 + 0.650658i 0.984878 0.173249i \(-0.0554264\pi\)
−0.566726 + 0.823907i \(0.691790\pi\)
\(68\) −0.726175 −0.0880617
\(69\) 3.85663 7.35707i 0.464283 0.885687i
\(70\) −3.70284 −0.442575
\(71\) −1.36094 2.11766i −0.161514 0.251320i 0.751059 0.660235i \(-0.229543\pi\)
−0.912572 + 0.408915i \(0.865907\pi\)
\(72\) 1.77229 2.42054i 0.208866 0.285263i
\(73\) −2.06209 + 4.51534i −0.241349 + 0.528481i −0.991081 0.133261i \(-0.957455\pi\)
0.749732 + 0.661742i \(0.230182\pi\)
\(74\) −9.68610 + 2.84409i −1.12599 + 0.330619i
\(75\) 1.44706 2.10791i 0.167092 0.243401i
\(76\) 0.416702 0.361074i 0.0477990 0.0414181i
\(77\) 4.30694 0.619244i 0.490821 0.0705694i
\(78\) 7.56334 1.97316i 0.856380 0.223417i
\(79\) 10.6252 + 9.20675i 1.19542 + 1.03584i 0.998463 + 0.0554287i \(0.0176526\pi\)
0.196961 + 0.980411i \(0.436893\pi\)
\(80\) −1.57919 1.01488i −0.176559 0.113467i
\(81\) −0.190705 8.99798i −0.0211894 0.999775i
\(82\) 6.99432 8.07188i 0.772394 0.891390i
\(83\) 10.5768 + 3.10563i 1.16095 + 0.340887i 0.804803 0.593542i \(-0.202271\pi\)
0.356151 + 0.934428i \(0.384089\pi\)
\(84\) −2.15785 2.64888i −0.235440 0.289016i
\(85\) 0.892684 + 1.03021i 0.0968251 + 0.111742i
\(86\) 4.30074 + 9.41731i 0.463761 + 1.01549i
\(87\) −2.47208 + 2.68357i −0.265035 + 0.287709i
\(88\) 2.00655 + 0.916359i 0.213899 + 0.0976842i
\(89\) −0.391167 + 2.72063i −0.0414636 + 0.288386i 0.958531 + 0.284990i \(0.0919901\pi\)
−0.999994 + 0.00339624i \(0.998919\pi\)
\(90\) −5.61264 + 0.461244i −0.591624 + 0.0486194i
\(91\) 8.90183i 0.933165i
\(92\) −1.24021 4.63270i −0.129301 0.482992i
\(93\) −4.10496 6.83576i −0.425664 0.708835i
\(94\) −9.11445 + 5.85750i −0.940083 + 0.604155i
\(95\) −1.02450 0.147301i −0.105111 0.0151127i
\(96\) −0.194269 1.72112i −0.0198274 0.175661i
\(97\) 1.95701 + 6.66496i 0.198704 + 0.676724i 0.997204 + 0.0747288i \(0.0238091\pi\)
−0.798500 + 0.601995i \(0.794373\pi\)
\(98\) 2.82809 1.29154i 0.285680 0.130466i
\(99\) 6.45116 1.47512i 0.648366 0.148255i
\(100\) −0.210081 1.46115i −0.0210081 0.146115i
\(101\) −5.08531 + 17.3190i −0.506008 + 1.72330i 0.169114 + 0.985597i \(0.445910\pi\)
−0.675121 + 0.737707i \(0.735909\pi\)
\(102\) −0.216761 + 1.23895i −0.0214625 + 0.122675i
\(103\) −4.85874 + 7.56034i −0.478745 + 0.744943i −0.993676 0.112290i \(-0.964182\pi\)
0.514930 + 0.857232i \(0.327818\pi\)
\(104\) 2.43983 3.79645i 0.239245 0.372273i
\(105\) −1.10529 + 6.31756i −0.107865 + 0.616530i
\(106\) −0.853252 + 2.90591i −0.0828752 + 0.282247i
\(107\) −0.913030 6.35026i −0.0882659 0.613903i −0.985158 0.171653i \(-0.945089\pi\)
0.896892 0.442250i \(-0.145820\pi\)
\(108\) −3.60074 3.74628i −0.346482 0.360486i
\(109\) 13.5637 6.19435i 1.29917 0.593311i 0.358784 0.933421i \(-0.383192\pi\)
0.940386 + 0.340110i \(0.110464\pi\)
\(110\) −1.16662 3.97313i −0.111232 0.378823i
\(111\) 1.96114 + 17.3747i 0.186144 + 1.64914i
\(112\) −1.95247 0.280723i −0.184491 0.0265259i
\(113\) −3.07687 + 1.97738i −0.289447 + 0.186016i −0.677304 0.735703i \(-0.736852\pi\)
0.387857 + 0.921720i \(0.373215\pi\)
\(114\) −0.491658 0.818730i −0.0460480 0.0766811i
\(115\) −5.04773 + 7.45442i −0.470704 + 0.695128i
\(116\) 2.10656i 0.195589i
\(117\) −1.10885 13.4931i −0.102514 1.24743i
\(118\) −0.918379 + 6.38747i −0.0845437 + 0.588014i
\(119\) 1.30297 + 0.595048i 0.119443 + 0.0545479i
\(120\) −2.20291 + 2.39137i −0.201097 + 0.218301i
\(121\) −2.54818 5.57973i −0.231653 0.507248i
\(122\) 9.85050 + 11.3681i 0.891822 + 1.02922i
\(123\) −11.6839 14.3427i −1.05351 1.29324i
\(124\) −4.41708 1.29697i −0.396666 0.116472i
\(125\) −7.96113 + 9.18763i −0.712065 + 0.821767i
\(126\) −5.16346 + 2.89090i −0.459997 + 0.257542i
\(127\) −5.77176 3.70929i −0.512161 0.329146i 0.258903 0.965903i \(-0.416639\pi\)
−0.771064 + 0.636757i \(0.780275\pi\)
\(128\) −0.755750 0.654861i −0.0667995 0.0578821i
\(129\) 17.3510 4.52661i 1.52767 0.398546i
\(130\) −8.38523 + 1.20561i −0.735434 + 0.105739i
\(131\) −3.70085 + 3.20680i −0.323344 + 0.280179i −0.801373 0.598165i \(-0.795897\pi\)
0.478029 + 0.878344i \(0.341351\pi\)
\(132\) 2.16238 3.14991i 0.188211 0.274165i
\(133\) −1.04356 + 0.306417i −0.0904882 + 0.0265697i
\(134\) 2.62994 5.75876i 0.227192 0.497481i
\(135\) −0.888408 + 9.71360i −0.0764620 + 0.836014i
\(136\) 0.392600 + 0.610897i 0.0336652 + 0.0523840i
\(137\) −12.1765 −1.04031 −0.520154 0.854073i \(-0.674125\pi\)
−0.520154 + 0.854073i \(0.674125\pi\)
\(138\) −8.27421 + 0.733130i −0.704347 + 0.0624082i
\(139\) −18.0035 −1.52703 −0.763517 0.645788i \(-0.776529\pi\)
−0.763517 + 0.645788i \(0.776529\pi\)
\(140\) 2.00191 + 3.11503i 0.169192 + 0.263268i
\(141\) 7.27306 + 17.2989i 0.612502 + 1.45683i
\(142\) −1.04571 + 2.28979i −0.0877541 + 0.192155i
\(143\) 9.55161 2.80460i 0.798745 0.234533i
\(144\) −2.99446 0.182301i −0.249538 0.0151917i
\(145\) 2.98854 2.58958i 0.248184 0.215053i
\(146\) 4.91340 0.706440i 0.406635 0.0584654i
\(147\) −1.35937 5.21062i −0.112119 0.429765i
\(148\) 7.62930 + 6.61083i 0.627125 + 0.543407i
\(149\) 0.413148 + 0.265514i 0.0338464 + 0.0217517i 0.557455 0.830207i \(-0.311778\pi\)
−0.523608 + 0.851959i \(0.675414\pi\)
\(150\) −2.55563 0.0777205i −0.208666 0.00634585i
\(151\) 9.05009 10.4444i 0.736486 0.849950i −0.256700 0.966491i \(-0.582635\pi\)
0.993186 + 0.116541i \(0.0371806\pi\)
\(152\) −0.529041 0.155340i −0.0429109 0.0125998i
\(153\) 2.04912 + 0.739647i 0.165662 + 0.0597969i
\(154\) −2.84945 3.28844i −0.229615 0.264990i
\(155\) 3.58991 + 7.86080i 0.288348 + 0.631394i
\(156\) −5.74898 5.29591i −0.460287 0.424012i
\(157\) −2.69059 1.22875i −0.214733 0.0980651i 0.305145 0.952306i \(-0.401295\pi\)
−0.519877 + 0.854241i \(0.674022\pi\)
\(158\) 2.00082 13.9160i 0.159177 1.10710i
\(159\) 4.70318 + 2.32317i 0.372987 + 0.184239i
\(160\) 1.87719i 0.148405i
\(161\) −1.57085 + 9.32869i −0.123800 + 0.735204i
\(162\) −7.46648 + 5.02511i −0.586622 + 0.394810i
\(163\) 10.9082 7.01027i 0.854395 0.549087i −0.0385473 0.999257i \(-0.512273\pi\)
0.892943 + 0.450170i \(0.148637\pi\)
\(164\) −10.5719 1.52001i −0.825528 0.118693i
\(165\) −7.12693 + 0.804439i −0.554831 + 0.0626255i
\(166\) −3.10563 10.5768i −0.241043 0.820919i
\(167\) −5.47008 + 2.49810i −0.423288 + 0.193309i −0.615658 0.788013i \(-0.711110\pi\)
0.192370 + 0.981322i \(0.438382\pi\)
\(168\) −1.06176 + 3.24739i −0.0819165 + 0.250542i
\(169\) −1.04827 7.29086i −0.0806359 0.560835i
\(170\) 0.384048 1.30795i 0.0294551 0.100315i
\(171\) −1.54362 + 0.594447i −0.118044 + 0.0454585i
\(172\) 5.59719 8.70940i 0.426782 0.664085i
\(173\) 1.30500 2.03062i 0.0992176 0.154386i −0.788096 0.615553i \(-0.788933\pi\)
0.887313 + 0.461167i \(0.152569\pi\)
\(174\) 3.59407 + 0.628801i 0.272466 + 0.0476692i
\(175\) −0.820357 + 2.79388i −0.0620131 + 0.211197i
\(176\) −0.313931 2.18344i −0.0236634 0.164583i
\(177\) 10.6238 + 3.47352i 0.798531 + 0.261086i
\(178\) 2.50022 1.14181i 0.187399 0.0855824i
\(179\) −5.42051 18.4606i −0.405148 1.37981i −0.869402 0.494105i \(-0.835496\pi\)
0.464254 0.885702i \(-0.346322\pi\)
\(180\) 3.42244 + 4.47228i 0.255094 + 0.333344i
\(181\) 0.494499 + 0.0710982i 0.0367558 + 0.00528469i 0.160668 0.987008i \(-0.448635\pi\)
−0.123912 + 0.992293i \(0.539544\pi\)
\(182\) −7.48870 + 4.81269i −0.555099 + 0.356740i
\(183\) 22.3358 13.4130i 1.65111 0.991514i
\(184\) −3.22676 + 3.54796i −0.237880 + 0.261559i
\(185\) 18.9502i 1.39325i
\(186\) −3.53130 + 7.14900i −0.258927 + 0.524190i
\(187\) −0.227969 + 1.58556i −0.0166707 + 0.115947i
\(188\) 9.85528 + 4.50076i 0.718770 + 0.328251i
\(189\) 3.39099 + 9.67249i 0.246658 + 0.703570i
\(190\) 0.429969 + 0.941501i 0.0311932 + 0.0683036i
\(191\) 7.04339 + 8.12851i 0.509642 + 0.588158i 0.951007 0.309169i \(-0.100051\pi\)
−0.441365 + 0.897328i \(0.645506\pi\)
\(192\) −1.34287 + 1.09394i −0.0969133 + 0.0789482i
\(193\) 8.38831 + 2.46303i 0.603803 + 0.177293i 0.569325 0.822113i \(-0.307205\pi\)
0.0344787 + 0.999405i \(0.489023\pi\)
\(194\) 4.54888 5.24969i 0.326591 0.376906i
\(195\) −0.446022 + 14.6662i −0.0319403 + 1.05027i
\(196\) −2.61549 1.68088i −0.186821 0.120063i
\(197\) 0.639673 + 0.554280i 0.0455748 + 0.0394908i 0.677350 0.735661i \(-0.263128\pi\)
−0.631776 + 0.775151i \(0.717674\pi\)
\(198\) −4.72871 4.62955i −0.336055 0.329008i
\(199\) 11.5796 1.66489i 0.820855 0.118021i 0.280924 0.959730i \(-0.409359\pi\)
0.539932 + 0.841709i \(0.318450\pi\)
\(200\) −1.11562 + 0.966688i −0.0788861 + 0.0683552i
\(201\) −9.04020 6.20600i −0.637646 0.437738i
\(202\) 17.3190 5.08531i 1.21856 0.357801i
\(203\) 1.72617 3.77979i 0.121153 0.265289i
\(204\) 1.15946 0.487478i 0.0811787 0.0341303i
\(205\) 10.8396 + 16.8667i 0.757070 + 1.17802i
\(206\) 8.98699 0.626154
\(207\) −1.21900 + 14.3358i −0.0847267 + 0.996404i
\(208\) −4.51285 −0.312910
\(209\) −0.657567 1.02319i −0.0454849 0.0707758i
\(210\) 5.91223 2.48570i 0.407983 0.171530i
\(211\) 4.28128 9.37470i 0.294735 0.645381i −0.703104 0.711088i \(-0.748203\pi\)
0.997839 + 0.0657069i \(0.0209302\pi\)
\(212\) 2.90591 0.853252i 0.199579 0.0586016i
\(213\) 3.59455 + 2.46762i 0.246294 + 0.169078i
\(214\) −4.84856 + 4.20130i −0.331441 + 0.287195i
\(215\) −19.2365 + 2.76579i −1.31192 + 0.188625i
\(216\) −1.20486 + 5.05453i −0.0819807 + 0.343917i
\(217\) 6.86277 + 5.94663i 0.465876 + 0.403683i
\(218\) −12.5441 8.06161i −0.849595 0.546001i
\(219\) 0.261350 8.59379i 0.0176604 0.580714i
\(220\) −2.71169 + 3.12946i −0.182822 + 0.210988i
\(221\) 3.14437 + 0.923272i 0.211514 + 0.0621060i
\(222\) 13.5563 11.0433i 0.909839 0.741179i
\(223\) 2.77177 + 3.19880i 0.185612 + 0.214207i 0.840928 0.541148i \(-0.182010\pi\)
−0.655316 + 0.755355i \(0.727465\pi\)
\(224\) 0.819427 + 1.79430i 0.0547503 + 0.119886i
\(225\) −0.895448 + 4.33705i −0.0596965 + 0.289136i
\(226\) 3.32696 + 1.51937i 0.221306 + 0.101067i
\(227\) 3.50584 24.3836i 0.232690 1.61840i −0.453693 0.891158i \(-0.649894\pi\)
0.686383 0.727240i \(-0.259197\pi\)
\(228\) −0.422949 + 0.856247i −0.0280105 + 0.0567064i
\(229\) 5.57118i 0.368154i −0.982912 0.184077i \(-0.941070\pi\)
0.982912 0.184077i \(-0.0589295\pi\)
\(230\) 9.00007 + 0.216259i 0.593447 + 0.0142597i
\(231\) −6.46107 + 3.87996i −0.425107 + 0.255282i
\(232\) 1.77215 1.13889i 0.116347 0.0747719i
\(233\) −16.4214 2.36103i −1.07580 0.154676i −0.418433 0.908248i \(-0.637420\pi\)
−0.657366 + 0.753571i \(0.728329\pi\)
\(234\) −10.7516 + 8.22773i −0.702854 + 0.537864i
\(235\) −5.72991 19.5143i −0.373778 1.27297i
\(236\) 5.86999 2.68074i 0.382104 0.174501i
\(237\) −23.1453 7.56754i −1.50345 0.491565i
\(238\) −0.203854 1.41784i −0.0132139 0.0919047i
\(239\) −2.18966 + 7.45730i −0.141637 + 0.482373i −0.999504 0.0315001i \(-0.989972\pi\)
0.857866 + 0.513873i \(0.171790\pi\)
\(240\) 3.20273 + 0.560334i 0.206736 + 0.0361694i
\(241\) −5.14277 + 8.00230i −0.331275 + 0.515474i −0.966437 0.256905i \(-0.917297\pi\)
0.635162 + 0.772379i \(0.280933\pi\)
\(242\) −3.31632 + 5.16030i −0.213181 + 0.331716i
\(243\) 6.34479 + 14.2388i 0.407019 + 0.913420i
\(244\) 4.23786 14.4328i 0.271301 0.923966i
\(245\) 0.830585 + 5.77685i 0.0530641 + 0.369069i
\(246\) −5.74903 + 17.5834i −0.366545 + 1.12108i
\(247\) −2.26342 + 1.03367i −0.144018 + 0.0657707i
\(248\) 1.29697 + 4.41708i 0.0823578 + 0.280485i
\(249\) −18.9725 + 2.14148i −1.20233 + 0.135711i
\(250\) 12.0332 + 1.73012i 0.761049 + 0.109422i
\(251\) 17.0589 10.9631i 1.07675 0.691983i 0.122943 0.992414i \(-0.460767\pi\)
0.953804 + 0.300431i \(0.0971305\pi\)
\(252\) 5.22356 + 2.78084i 0.329053 + 0.175176i
\(253\) −10.5045 + 1.25358i −0.660414 + 0.0788121i
\(254\) 6.86091i 0.430492i
\(255\) −2.11690 1.04566i −0.132565 0.0654815i
\(256\) −0.142315 + 0.989821i −0.00889468 + 0.0618638i
\(257\) −19.7198 9.00572i −1.23009 0.561761i −0.308978 0.951069i \(-0.599987\pi\)
−0.921108 + 0.389308i \(0.872714\pi\)
\(258\) −13.1887 12.1493i −0.821091 0.756382i
\(259\) −8.27213 18.1134i −0.514005 1.12551i
\(260\) 5.54763 + 6.40230i 0.344049 + 0.397054i
\(261\) 2.14564 5.94428i 0.132812 0.367942i
\(262\) 4.69856 + 1.37962i 0.290278 + 0.0852333i
\(263\) −1.26151 + 1.45586i −0.0777878 + 0.0897719i −0.793309 0.608819i \(-0.791644\pi\)
0.715522 + 0.698591i \(0.246189\pi\)
\(264\) −3.81895 0.116140i −0.235040 0.00714792i
\(265\) −4.78271 3.07366i −0.293800 0.188814i
\(266\) 0.821966 + 0.712237i 0.0503980 + 0.0436701i
\(267\) −1.20178 4.60654i −0.0735476 0.281916i
\(268\) −6.26643 + 0.900976i −0.382783 + 0.0550359i
\(269\) 11.1453 9.65750i 0.679544 0.588828i −0.245175 0.969479i \(-0.578845\pi\)
0.924719 + 0.380651i \(0.124300\pi\)
\(270\) 8.65191 4.50419i 0.526539 0.274116i
\(271\) −0.732230 + 0.215002i −0.0444798 + 0.0130604i −0.303897 0.952705i \(-0.598288\pi\)
0.259417 + 0.965765i \(0.416470\pi\)
\(272\) 0.301664 0.660552i 0.0182911 0.0400519i
\(273\) 5.97576 + 14.2133i 0.361669 + 0.860228i
\(274\) 6.58311 + 10.2435i 0.397700 + 0.618833i
\(275\) −3.25628 −0.196361
\(276\) 5.09012 + 6.56435i 0.306389 + 0.395127i
\(277\) −15.9124 −0.956085 −0.478043 0.878337i \(-0.658654\pi\)
−0.478043 + 0.878337i \(0.658654\pi\)
\(278\) 9.73341 + 15.1455i 0.583771 + 0.908366i
\(279\) 11.1431 + 8.15882i 0.667119 + 0.488456i
\(280\) 1.53822 3.36823i 0.0919260 0.201290i
\(281\) 11.4144 3.35157i 0.680927 0.199938i 0.0770637 0.997026i \(-0.475446\pi\)
0.603863 + 0.797088i \(0.293627\pi\)
\(282\) 10.6207 15.4710i 0.632452 0.921284i
\(283\) 6.15227 5.33097i 0.365715 0.316894i −0.452546 0.891741i \(-0.649484\pi\)
0.818260 + 0.574848i \(0.194939\pi\)
\(284\) 2.49164 0.358244i 0.147852 0.0212579i
\(285\) 1.73467 0.452551i 0.102753 0.0268068i
\(286\) −7.52337 6.51904i −0.444866 0.385479i
\(287\) 17.7236 + 11.3903i 1.04619 + 0.672346i
\(288\) 1.46556 + 2.61766i 0.0863592 + 0.154247i
\(289\) 10.7873 12.4492i 0.634547 0.732307i
\(290\) −3.79422 1.11408i −0.222804 0.0654212i
\(291\) −7.59885 9.32802i −0.445453 0.546818i
\(292\) −3.25068 3.75148i −0.190231 0.219539i
\(293\) 12.1468 + 26.5979i 0.709626 + 1.55386i 0.827895 + 0.560883i \(0.189538\pi\)
−0.118269 + 0.992982i \(0.537734\pi\)
\(294\) −3.64852 + 3.96065i −0.212786 + 0.230990i
\(295\) −11.0191 5.03224i −0.641555 0.292988i
\(296\) 1.43667 9.99226i 0.0835048 0.580788i
\(297\) −9.31015 + 6.68592i −0.540230 + 0.387956i
\(298\) 0.491110i 0.0284492i
\(299\) −0.519899 + 21.6366i −0.0300665 + 1.25128i
\(300\) 1.31629 + 2.19195i 0.0759962 + 0.126552i
\(301\) −17.1797 + 11.0407i −0.990223 + 0.636378i
\(302\) −13.6792 1.96677i −0.787150 0.113175i
\(303\) −3.50658 31.0665i −0.201447 1.78472i
\(304\) 0.155340 + 0.529041i 0.00890939 + 0.0303426i
\(305\) −25.6852 + 11.7300i −1.47073 + 0.671659i
\(306\) −0.485608 2.12371i −0.0277603 0.121405i
\(307\) 0.616673 + 4.28905i 0.0351954 + 0.244789i 0.999823 0.0188280i \(-0.00599350\pi\)
−0.964627 + 0.263617i \(0.915084\pi\)
\(308\) −1.22588 + 4.17497i −0.0698511 + 0.237891i
\(309\) 2.68259 15.3330i 0.152607 0.872266i
\(310\) 4.67207 7.26989i 0.265356 0.412902i
\(311\) −6.44713 + 10.0319i −0.365583 + 0.568859i −0.974503 0.224373i \(-0.927967\pi\)
0.608920 + 0.793232i \(0.291603\pi\)
\(312\) −1.34707 + 7.69954i −0.0762629 + 0.435901i
\(313\) −6.80062 + 23.1608i −0.384394 + 1.30913i 0.509354 + 0.860557i \(0.329884\pi\)
−0.893748 + 0.448569i \(0.851934\pi\)
\(314\) 0.420952 + 2.92778i 0.0237557 + 0.165224i
\(315\) −2.47616 10.8290i −0.139516 0.610147i
\(316\) −12.7886 + 5.84036i −0.719415 + 0.328546i
\(317\) 4.19170 + 14.2756i 0.235429 + 0.801798i 0.989441 + 0.144937i \(0.0462980\pi\)
−0.754012 + 0.656861i \(0.771884\pi\)
\(318\) −0.588359 5.21257i −0.0329936 0.292306i
\(319\) 4.59953 + 0.661313i 0.257524 + 0.0370264i
\(320\) 1.57919 1.01488i 0.0882794 0.0567337i
\(321\) 5.72071 + 9.52637i 0.319299 + 0.531710i
\(322\) 8.69706 3.72199i 0.484668 0.207418i
\(323\) 0.400395i 0.0222786i
\(324\) 8.26407 + 3.56442i 0.459115 + 0.198024i
\(325\) −0.948066 + 6.59395i −0.0525893 + 0.365766i
\(326\) −11.7948 5.38652i −0.653255 0.298332i
\(327\) −17.4986 + 18.9956i −0.967674 + 1.05046i
\(328\) 4.43689 + 9.71544i 0.244986 + 0.536446i
\(329\) −13.9952 16.1514i −0.771583 0.890454i
\(330\) 4.52985 + 5.56064i 0.249360 + 0.306103i
\(331\) −2.16524 0.635773i −0.119012 0.0349452i 0.221684 0.975119i \(-0.428845\pi\)
−0.340696 + 0.940173i \(0.610663\pi\)
\(332\) −7.21874 + 8.33087i −0.396180 + 0.457216i
\(333\) −14.7949 26.4253i −0.810755 1.44810i
\(334\) 5.05889 + 3.25115i 0.276810 + 0.177895i
\(335\) 8.98149 + 7.78251i 0.490711 + 0.425204i
\(336\) 3.30591 0.862463i 0.180352 0.0470512i
\(337\) 7.99532 1.14955i 0.435533 0.0626202i 0.0789386 0.996879i \(-0.474847\pi\)
0.356594 + 0.934259i \(0.383938\pi\)
\(338\) −5.56672 + 4.82359i −0.302790 + 0.262369i
\(339\) 3.58534 5.22272i 0.194729 0.283659i
\(340\) −1.30795 + 0.384048i −0.0709334 + 0.0208279i
\(341\) −4.21851 + 9.23726i −0.228445 + 0.500225i
\(342\) 1.33463 + 0.977196i 0.0721683 + 0.0528407i
\(343\) 10.7807 + 16.7751i 0.582103 + 0.905770i
\(344\) −10.3529 −0.558190
\(345\) 3.05546 15.2908i 0.164500 0.823228i
\(346\) −2.41381 −0.129767
\(347\) −12.0071 18.6834i −0.644574 1.00298i −0.997725 0.0674109i \(-0.978526\pi\)
0.353151 0.935566i \(-0.385110\pi\)
\(348\) −1.41412 3.36348i −0.0758049 0.180302i
\(349\) −5.62869 + 12.3251i −0.301297 + 0.659748i −0.998359 0.0572626i \(-0.981763\pi\)
0.697062 + 0.717010i \(0.254490\pi\)
\(350\) 2.79388 0.820357i 0.149339 0.0438499i
\(351\) 10.8283 + 20.7996i 0.577973 + 1.11020i
\(352\) −1.66710 + 1.44455i −0.0888567 + 0.0769948i
\(353\) 35.6857 5.13083i 1.89936 0.273087i 0.909562 0.415568i \(-0.136417\pi\)
0.989798 + 0.142481i \(0.0455080\pi\)
\(354\) −2.82153 10.8152i −0.149962 0.574821i
\(355\) −3.57120 3.09446i −0.189540 0.164237i
\(356\) −2.31227 1.48601i −0.122550 0.0787582i
\(357\) −2.47987 0.0754168i −0.131249 0.00399148i
\(358\) −12.5995 + 14.5406i −0.665902 + 0.768492i
\(359\) −10.3735 3.04593i −0.547492 0.160758i −0.00372270 0.999993i \(-0.501185\pi\)
−0.543769 + 0.839235i \(0.683003\pi\)
\(360\) 1.91201 5.29704i 0.100772 0.279179i
\(361\) −12.2433 14.1295i −0.644382 0.743657i
\(362\) −0.207535 0.454438i −0.0109078 0.0238847i
\(363\) 7.81426 + 7.19843i 0.410142 + 0.377819i
\(364\) 8.09739 + 3.69795i 0.424418 + 0.193825i
\(365\) −1.32612 + 9.22335i −0.0694122 + 0.482772i
\(366\) −23.3594 11.5385i −1.22101 0.603127i
\(367\) 6.90386i 0.360379i 0.983632 + 0.180189i \(0.0576711\pi\)
−0.983632 + 0.180189i \(0.942329\pi\)
\(368\) 4.72925 + 0.796352i 0.246529 + 0.0415127i
\(369\) 28.2836 + 15.0572i 1.47239 + 0.783847i
\(370\) −15.9419 + 10.2453i −0.828782 + 0.532626i
\(371\) −5.91324 0.850195i −0.307000 0.0441399i
\(372\) 7.92328 0.894327i 0.410803 0.0463687i
\(373\) 8.09640 + 27.5738i 0.419216 + 1.42772i 0.850726 + 0.525610i \(0.176163\pi\)
−0.431510 + 0.902108i \(0.642019\pi\)
\(374\) 1.45710 0.665437i 0.0753451 0.0344089i
\(375\) 6.54370 20.0139i 0.337915 1.03351i
\(376\) −1.54189 10.7241i −0.0795169 0.553052i
\(377\) 2.67831 9.12150i 0.137940 0.469781i
\(378\) 6.30370 8.08203i 0.324228 0.415695i
\(379\) 4.37766 6.81177i 0.224865 0.349897i −0.710429 0.703769i \(-0.751499\pi\)
0.935294 + 0.353872i \(0.115135\pi\)
\(380\) 0.559582 0.870726i 0.0287059 0.0446673i
\(381\) 11.7056 + 2.04796i 0.599698 + 0.104920i
\(382\) 3.03019 10.3199i 0.155038 0.528011i
\(383\) −1.82924 12.7226i −0.0934696 0.650096i −0.981663 0.190625i \(-0.938948\pi\)
0.888193 0.459470i \(-0.151961\pi\)
\(384\) 1.64629 + 0.538267i 0.0840119 + 0.0274683i
\(385\) 7.42993 3.39314i 0.378664 0.172930i
\(386\) −2.46303 8.38831i −0.125365 0.426954i
\(387\) −24.6651 + 18.8751i −1.25380 + 0.959477i
\(388\) −6.87563 0.988566i −0.349057 0.0501868i
\(389\) 28.9931 18.6327i 1.47001 0.944717i 0.472003 0.881597i \(-0.343531\pi\)
0.998006 0.0631206i \(-0.0201053\pi\)
\(390\) 12.5791 7.55394i 0.636970 0.382509i
\(391\) −3.13223 1.52241i −0.158404 0.0769916i
\(392\) 3.10904i 0.157030i
\(393\) 3.75633 7.60457i 0.189482 0.383600i
\(394\) 0.120457 0.837794i 0.00606852 0.0422074i
\(395\) 24.0066 + 10.9634i 1.20790 + 0.551630i
\(396\) −1.33809 + 6.48097i −0.0672417 + 0.325681i
\(397\) −5.26485 11.5284i −0.264235 0.578595i 0.730285 0.683143i \(-0.239387\pi\)
−0.994520 + 0.104549i \(0.966660\pi\)
\(398\) −7.66100 8.84126i −0.384011 0.443172i
\(399\) 1.46053 1.18978i 0.0731178 0.0595637i
\(400\) 1.41638 + 0.415886i 0.0708189 + 0.0207943i
\(401\) 1.78297 2.05766i 0.0890373 0.102755i −0.709483 0.704723i \(-0.751071\pi\)
0.798520 + 0.601968i \(0.205617\pi\)
\(402\) −0.333320 + 10.9603i −0.0166245 + 0.546651i
\(403\) 17.4772 + 11.2319i 0.870601 + 0.559501i
\(404\) −13.6414 11.8203i −0.678684 0.588083i
\(405\) −5.10220 16.1058i −0.253530 0.800305i
\(406\) −4.11300 + 0.591360i −0.204125 + 0.0293487i
\(407\) 16.8294 14.5828i 0.834202 0.722840i
\(408\) −1.03695 0.711853i −0.0513365 0.0352420i
\(409\) −4.24238 + 1.24568i −0.209772 + 0.0615947i −0.384930 0.922946i \(-0.625775\pi\)
0.175158 + 0.984540i \(0.443956\pi\)
\(410\) 8.32887 18.2377i 0.411334 0.900695i
\(411\) 19.4419 8.17402i 0.958996 0.403195i
\(412\) −4.85874 7.56034i −0.239373 0.372471i
\(413\) −12.7292 −0.626362
\(414\) 12.7191 6.72501i 0.625107 0.330516i
\(415\) 20.6928 1.01577
\(416\) 2.43983 + 3.79645i 0.119623 + 0.186136i
\(417\) 28.7456 12.0856i 1.40768 0.591837i
\(418\) −0.505258 + 1.10636i −0.0247130 + 0.0541139i
\(419\) 35.5048 10.4252i 1.73452 0.509302i 0.746738 0.665118i \(-0.231619\pi\)
0.987786 + 0.155816i \(0.0498006\pi\)
\(420\) −5.28750 3.62981i −0.258003 0.177117i
\(421\) 24.3165 21.0704i 1.18511 1.02691i 0.186098 0.982531i \(-0.440416\pi\)
0.999015 0.0443749i \(-0.0141296\pi\)
\(422\) −10.2011 + 1.46670i −0.496583 + 0.0713979i
\(423\) −23.2254 22.7384i −1.12926 1.10558i
\(424\) −2.28885 1.98330i −0.111157 0.0963177i
\(425\) −0.901791 0.579546i −0.0437433 0.0281121i
\(426\) 0.132534 4.35802i 0.00642130 0.211147i
\(427\) −19.4306 + 22.4241i −0.940313 + 1.08518i
\(428\) 6.15569 + 1.80747i 0.297546 + 0.0873675i
\(429\) −13.3681 + 10.8900i −0.645416 + 0.525773i
\(430\) 12.7267 + 14.6874i 0.613738 + 0.708291i
\(431\) −6.22902 13.6396i −0.300041 0.656999i 0.698224 0.715880i \(-0.253974\pi\)
−0.998265 + 0.0588809i \(0.981247\pi\)
\(432\) 4.90354 1.71909i 0.235922 0.0827097i
\(433\) 10.1351 + 4.62854i 0.487061 + 0.222433i 0.643781 0.765210i \(-0.277365\pi\)
−0.156720 + 0.987643i \(0.550092\pi\)
\(434\) 1.29233 8.98832i 0.0620336 0.431453i
\(435\) −3.03334 + 6.14090i −0.145437 + 0.294434i
\(436\) 14.9112i 0.714118i
\(437\) 2.55436 0.683824i 0.122191 0.0327117i
\(438\) −7.37085 + 4.42629i −0.352193 + 0.211496i
\(439\) 12.1521 7.80970i 0.579990 0.372737i −0.217508 0.976058i \(-0.569793\pi\)
0.797498 + 0.603322i \(0.206157\pi\)
\(440\) 4.09871 + 0.589306i 0.195399 + 0.0280941i
\(441\) 5.66834 + 7.40711i 0.269921 + 0.352720i
\(442\) −0.923272 3.14437i −0.0439156 0.149563i
\(443\) −17.2153 + 7.86195i −0.817922 + 0.373532i −0.780024 0.625749i \(-0.784793\pi\)
−0.0378976 + 0.999282i \(0.512066\pi\)
\(444\) −16.6193 5.43381i −0.788718 0.257877i
\(445\) 0.734293 + 5.10712i 0.0348088 + 0.242101i
\(446\) 1.19246 4.06116i 0.0564649 0.192302i
\(447\) −0.837900 0.146595i −0.0396313 0.00693369i
\(448\) 1.06644 1.65942i 0.0503846 0.0784000i
\(449\) −12.1071 + 18.8391i −0.571371 + 0.889071i −0.999895 0.0144592i \(-0.995397\pi\)
0.428524 + 0.903530i \(0.359034\pi\)
\(450\) 4.13267 1.59149i 0.194816 0.0750234i
\(451\) −6.63770 + 22.6059i −0.312557 + 1.06447i
\(452\) −0.520513 3.62025i −0.0244829 0.170282i
\(453\) −7.43878 + 22.7515i −0.349504 + 1.06896i
\(454\) −22.4082 + 10.2335i −1.05167 + 0.480281i
\(455\) −4.70786 16.0335i −0.220708 0.751662i
\(456\) 0.948985 0.107115i 0.0444403 0.00501612i
\(457\) −23.0174 3.30940i −1.07671 0.154807i −0.418929 0.908019i \(-0.637594\pi\)
−0.657778 + 0.753212i \(0.728503\pi\)
\(458\) −4.68677 + 3.01201i −0.218999 + 0.140742i
\(459\) −3.76830 + 0.194591i −0.175889 + 0.00908273i
\(460\) −4.68388 7.68826i −0.218387 0.358467i
\(461\) 25.8406i 1.20352i −0.798679 0.601758i \(-0.794467\pi\)
0.798679 0.601758i \(-0.205533\pi\)
\(462\) 6.75715 + 3.33774i 0.314371 + 0.155286i
\(463\) 2.22872 15.5011i 0.103577 0.720395i −0.870168 0.492755i \(-0.835990\pi\)
0.973745 0.227640i \(-0.0731010\pi\)
\(464\) −1.91619 0.875096i −0.0889570 0.0406253i
\(465\) −11.0088 10.1412i −0.510522 0.470288i
\(466\) 6.89183 + 15.0910i 0.319258 + 0.699077i
\(467\) 19.3933 + 22.3810i 0.897414 + 1.03567i 0.999165 + 0.0408613i \(0.0130102\pi\)
−0.101751 + 0.994810i \(0.532444\pi\)
\(468\) 12.7344 + 4.59657i 0.588646 + 0.212477i
\(469\) 11.9821 + 3.51826i 0.553282 + 0.162458i
\(470\) −13.3186 + 15.3705i −0.614343 + 0.708989i
\(471\) 5.12085 + 0.155733i 0.235956 + 0.00717579i
\(472\) −5.42874 3.48884i −0.249878 0.160587i
\(473\) −17.2593 14.9552i −0.793582 0.687643i
\(474\) 6.14709 + 23.5624i 0.282345 + 1.08226i
\(475\) 0.805642 0.115834i 0.0369654 0.00531482i
\(476\) −1.08255 + 0.938034i −0.0496185 + 0.0429947i
\(477\) −9.06897 0.552113i −0.415240 0.0252795i
\(478\) 7.45730 2.18966i 0.341089 0.100153i
\(479\) −7.46364 + 16.3431i −0.341022 + 0.746735i −0.999985 0.00544059i \(-0.998268\pi\)
0.658963 + 0.752176i \(0.270995\pi\)
\(480\) −1.26015 2.99725i −0.0575175 0.136805i
\(481\) −24.6301 38.3252i −1.12304 1.74748i
\(482\) 9.51236 0.433276
\(483\) −3.75418 15.9494i −0.170821 0.725721i
\(484\) 6.13406 0.278821
\(485\) 7.04972 + 10.9696i 0.320111 + 0.498103i
\(486\) 8.54819 13.0357i 0.387754 0.591310i
\(487\) 0.316253 0.692497i 0.0143308 0.0313800i −0.902331 0.431043i \(-0.858146\pi\)
0.916662 + 0.399663i \(0.130873\pi\)
\(488\) −14.4328 + 4.23786i −0.653343 + 0.191839i
\(489\) −12.7108 + 18.5157i −0.574804 + 0.837310i
\(490\) 4.41075 3.82193i 0.199257 0.172657i
\(491\) −34.5209 + 4.96336i −1.55791 + 0.223993i −0.866762 0.498722i \(-0.833803\pi\)
−0.691146 + 0.722715i \(0.742894\pi\)
\(492\) 17.9003 4.66992i 0.807006 0.210536i
\(493\) 1.15609 + 1.00176i 0.0520678 + 0.0451170i
\(494\) 2.09327 + 1.34526i 0.0941807 + 0.0605263i
\(495\) 10.8394 6.06870i 0.487193 0.272768i
\(496\) 3.01469 3.47914i 0.135364 0.156218i
\(497\) −4.76430 1.39893i −0.213708 0.0627504i
\(498\) 12.0588 + 14.8029i 0.540369 + 0.663333i
\(499\) 0.823674 + 0.950570i 0.0368727 + 0.0425534i 0.773886 0.633324i \(-0.218310\pi\)
−0.737014 + 0.675878i \(0.763765\pi\)
\(500\) −5.05019 11.0584i −0.225851 0.494546i
\(501\) 7.05696 7.66069i 0.315282 0.342254i
\(502\) −18.4454 8.42375i −0.823260 0.375970i
\(503\) −0.121216 + 0.843078i −0.00540477 + 0.0375910i −0.992345 0.123494i \(-0.960590\pi\)
0.986941 + 0.161085i \(0.0514992\pi\)
\(504\) −0.484676 5.89777i −0.0215892 0.262708i
\(505\) 33.8835i 1.50779i
\(506\) 6.73376 + 8.15924i 0.299352 + 0.362722i
\(507\) 6.56806 + 10.9374i 0.291698 + 0.485748i
\(508\) 5.77176 3.70929i 0.256081 0.164573i
\(509\) −25.1088 3.61010i −1.11293 0.160015i −0.438767 0.898601i \(-0.644585\pi\)
−0.674159 + 0.738586i \(0.735494\pi\)
\(510\) 0.264820 + 2.34617i 0.0117264 + 0.103890i
\(511\) 2.75861 + 9.39496i 0.122034 + 0.415608i
\(512\) 0.909632 0.415415i 0.0402004 0.0183589i
\(513\) 2.06561 1.98536i 0.0911989 0.0876559i
\(514\) 3.08522 + 21.4582i 0.136083 + 0.946480i
\(515\) −4.75290 + 16.1869i −0.209438 + 0.713280i
\(516\) −3.09030 + 17.6634i −0.136043 + 0.777589i
\(517\) 12.9210 20.1055i 0.568265 0.884237i
\(518\) −10.7657 + 16.7518i −0.473020 + 0.736033i
\(519\) −0.720514 + 4.11829i −0.0316270 + 0.180773i
\(520\) 2.38669 8.12831i 0.104663 0.356450i
\(521\) 2.84880 + 19.8138i 0.124808 + 0.868059i 0.951991 + 0.306126i \(0.0990330\pi\)
−0.827183 + 0.561933i \(0.810058\pi\)
\(522\) −6.16067 + 1.40870i −0.269645 + 0.0616570i
\(523\) −26.7190 + 12.2021i −1.16834 + 0.533563i −0.902599 0.430482i \(-0.858344\pi\)
−0.265740 + 0.964045i \(0.585616\pi\)
\(524\) −1.37962 4.69856i −0.0602691 0.205258i
\(525\) −0.565677 5.01161i −0.0246881 0.218725i
\(526\) 1.90677 + 0.274152i 0.0831389 + 0.0119536i
\(527\) −2.81230 + 1.80736i −0.122506 + 0.0787297i
\(528\) 1.96697 + 3.27549i 0.0856016 + 0.142547i
\(529\) 4.36290 22.5824i 0.189691 0.981844i
\(530\) 5.68522i 0.246950i
\(531\) −19.2944 + 1.58561i −0.837306 + 0.0688095i
\(532\) 0.154784 1.07655i 0.00671074 0.0466742i
\(533\) 43.8444 + 20.0230i 1.89911 + 0.867294i
\(534\) −3.22554 + 3.50148i −0.139583 + 0.151524i
\(535\) −5.00293 10.9549i −0.216295 0.473621i
\(536\) 4.14584 + 4.78455i 0.179073 + 0.206661i
\(537\) 21.0473 + 25.8367i 0.908257 + 1.11494i
\(538\) −14.1500 4.15482i −0.610051 0.179127i
\(539\) −4.49117 + 5.18308i −0.193448 + 0.223251i
\(540\) −8.46674 4.84330i −0.364351 0.208422i
\(541\) −14.6045 9.38573i −0.627896 0.403524i 0.187634 0.982239i \(-0.439918\pi\)
−0.815530 + 0.578715i \(0.803554\pi\)
\(542\) 0.576745 + 0.499752i 0.0247733 + 0.0214662i
\(543\) −0.837281 + 0.218434i −0.0359312 + 0.00937391i
\(544\) −0.718784 + 0.103346i −0.0308176 + 0.00443090i
\(545\) 21.1543 18.3303i 0.906150 0.785183i
\(546\) 8.72626 12.7114i 0.373449 0.543998i
\(547\) −11.0586 + 3.24711i −0.472833 + 0.138836i −0.509463 0.860493i \(-0.670156\pi\)
0.0366299 + 0.999329i \(0.488338\pi\)
\(548\) 5.05830 11.0761i 0.216080 0.473148i
\(549\) −26.6589 + 36.4100i −1.13778 + 1.55394i
\(550\) 1.76048 + 2.73935i 0.0750669 + 0.116806i
\(551\) −1.16150 −0.0494818
\(552\) 2.77035 7.83104i 0.117914 0.333311i
\(553\) 27.7323 1.17930
\(554\) 8.60291 + 13.3864i 0.365503 + 0.568733i
\(555\) 12.7212 + 30.2573i 0.539985 + 1.28435i
\(556\) 7.47891 16.3765i 0.317176 0.694520i
\(557\) 17.4775 5.13187i 0.740547 0.217444i 0.110364 0.993891i \(-0.464798\pi\)
0.630183 + 0.776447i \(0.282980\pi\)
\(558\) 0.839232 13.7852i 0.0355275 0.583572i
\(559\) −35.3094 + 30.5958i −1.49343 + 1.29406i
\(560\) −3.66515 + 0.526970i −0.154881 + 0.0222685i
\(561\) −0.700386 2.68465i −0.0295703 0.113346i
\(562\) −8.99062 7.79042i −0.379247 0.328619i
\(563\) 2.07744 + 1.33509i 0.0875537 + 0.0562673i 0.583685 0.811980i \(-0.301610\pi\)
−0.496131 + 0.868247i \(0.665247\pi\)
\(564\) −18.7570 0.570429i −0.789812 0.0240194i
\(565\) −4.49612 + 5.18880i −0.189153 + 0.218294i
\(566\) −7.81087 2.29348i −0.328315 0.0964021i
\(567\) −11.9074 13.1674i −0.500064 0.552980i
\(568\) −1.64846 1.90242i −0.0691678 0.0798239i
\(569\) −2.72157 5.95940i −0.114094 0.249831i 0.843967 0.536395i \(-0.180214\pi\)
−0.958061 + 0.286564i \(0.907487\pi\)
\(570\) −1.31854 1.21463i −0.0552277 0.0508753i
\(571\) 29.2972 + 13.3796i 1.22605 + 0.559917i 0.919932 0.392077i \(-0.128243\pi\)
0.306115 + 0.951994i \(0.400971\pi\)
\(572\) −1.41672 + 9.85352i −0.0592361 + 0.411996i
\(573\) −16.7026 8.25037i −0.697762 0.344664i
\(574\) 21.0681i 0.879365i
\(575\) 2.15712 6.74284i 0.0899580 0.281196i
\(576\) 1.40977 2.64812i 0.0587404 0.110338i
\(577\) 17.1921 11.0487i 0.715716 0.459962i −0.131429 0.991326i \(-0.541956\pi\)
0.847144 + 0.531363i \(0.178320\pi\)
\(578\) −16.3050 2.34431i −0.678199 0.0975102i
\(579\) −15.0468 + 1.69838i −0.625324 + 0.0705823i
\(580\) 1.11408 + 3.79422i 0.0462598 + 0.157546i
\(581\) 19.7791 9.03281i 0.820575 0.374744i
\(582\) −3.73898 + 11.4357i −0.154986 + 0.474024i
\(583\) −0.950767 6.61273i −0.0393767 0.273871i
\(584\) −1.39850 + 4.76285i −0.0578703 + 0.197088i
\(585\) −9.13321 23.7166i −0.377612 0.980559i
\(586\) 15.8085 24.5985i 0.653042 1.01615i
\(587\) −11.7978 + 18.3578i −0.486948 + 0.757706i −0.994592 0.103861i \(-0.966880\pi\)
0.507644 + 0.861567i \(0.330517\pi\)
\(588\) 5.30445 + 0.928039i 0.218752 + 0.0382717i
\(589\) 0.715119 2.43547i 0.0294660 0.100352i
\(590\) 1.72397 + 11.9905i 0.0709747 + 0.493640i
\(591\) −1.39343 0.455594i −0.0573182 0.0187406i
\(592\) −9.18275 + 4.19362i −0.377409 + 0.172357i
\(593\) 2.22412 + 7.57465i 0.0913336 + 0.311054i 0.992471 0.122480i \(-0.0390847\pi\)
−0.901137 + 0.433534i \(0.857267\pi\)
\(594\) 10.6580 + 4.21752i 0.437303 + 0.173047i
\(595\) 2.66154 + 0.382672i 0.109113 + 0.0156880i
\(596\) −0.413148 + 0.265514i −0.0169232 + 0.0108759i
\(597\) −17.3712 + 10.4316i −0.710955 + 0.426938i
\(598\) 18.4830 11.2603i 0.755825 0.460467i
\(599\) 46.0220i 1.88041i 0.340609 + 0.940205i \(0.389367\pi\)
−0.340609 + 0.940205i \(0.610633\pi\)
\(600\) 1.13234 2.29239i 0.0462277 0.0935866i
\(601\) 6.54719 45.5367i 0.267065 1.85748i −0.208793 0.977960i \(-0.566954\pi\)
0.475859 0.879522i \(-0.342137\pi\)
\(602\) 18.5761 + 8.48343i 0.757106 + 0.345759i
\(603\) 18.6003 + 3.84031i 0.757463 + 0.156389i
\(604\) 5.74098 + 12.5710i 0.233597 + 0.511507i
\(605\) −7.54057 8.70228i −0.306568 0.353798i
\(606\) −24.2390 + 19.7457i −0.984642 + 0.802116i
\(607\) −20.0415 5.88471i −0.813458 0.238853i −0.151561 0.988448i \(-0.548430\pi\)
−0.661897 + 0.749595i \(0.730248\pi\)
\(608\) 0.361074 0.416702i 0.0146435 0.0168995i
\(609\) −0.218776 + 7.19385i −0.00886525 + 0.291510i
\(610\) 23.7544 + 15.2660i 0.961786 + 0.618102i
\(611\) −36.9515 32.0187i −1.49490 1.29534i
\(612\) −1.52404 + 1.55669i −0.0616058 + 0.0629253i
\(613\) 15.4837 2.22621i 0.625379 0.0899160i 0.177663 0.984091i \(-0.443146\pi\)
0.447717 + 0.894175i \(0.352237\pi\)
\(614\) 3.27478 2.83762i 0.132159 0.114517i
\(615\) −28.6298 19.6541i −1.15447 0.792529i
\(616\) 4.17497 1.22588i 0.168214 0.0493922i
\(617\) 16.7198 36.6113i 0.673115 1.47392i −0.196663 0.980471i \(-0.563010\pi\)
0.869777 0.493444i \(-0.164262\pi\)
\(618\) −14.3493 + 6.03293i −0.577213 + 0.242680i
\(619\) −17.4352 27.1298i −0.700782 1.09044i −0.991050 0.133492i \(-0.957381\pi\)
0.290268 0.956945i \(-0.406255\pi\)
\(620\) −8.64173 −0.347060
\(621\) −7.67718 23.7078i −0.308075 0.951362i
\(622\) 11.9250 0.478148
\(623\) 2.93122 + 4.56107i 0.117437 + 0.182736i
\(624\) 7.20555 3.02946i 0.288453 0.121275i
\(625\) −6.41402 + 14.0448i −0.256561 + 0.561790i
\(626\) 23.1608 6.80062i 0.925691 0.271808i
\(627\) 1.73678 + 1.19228i 0.0693605 + 0.0476152i
\(628\) 2.23543 1.93701i 0.0892032 0.0772950i
\(629\) 7.25613 1.04327i 0.289321 0.0415981i
\(630\) −7.77125 + 7.93770i −0.309614 + 0.316246i
\(631\) −28.0739 24.3262i −1.11760 0.968409i −0.117907 0.993025i \(-0.537619\pi\)
−0.999697 + 0.0246152i \(0.992164\pi\)
\(632\) 11.8273 + 7.60092i 0.470463 + 0.302348i
\(633\) −0.542612 + 17.8423i −0.0215669 + 0.709169i
\(634\) 9.74320 11.2443i 0.386952 0.446566i
\(635\) −12.3575 3.62849i −0.490392 0.143992i
\(636\) −4.06700 + 3.31309i −0.161267 + 0.131372i
\(637\) 9.18812 + 10.6037i 0.364047 + 0.420132i
\(638\) −1.93036 4.22691i −0.0764238 0.167345i
\(639\) −7.39581 1.52698i −0.292574 0.0604062i
\(640\) −1.70755 0.779811i −0.0674968 0.0308247i
\(641\) 1.62988 11.3361i 0.0643763 0.447747i −0.931984 0.362501i \(-0.881923\pi\)
0.996360 0.0852466i \(-0.0271678\pi\)
\(642\) 4.92125 9.96291i 0.194226 0.393205i
\(643\) 16.2352i 0.640254i 0.947375 + 0.320127i \(0.103726\pi\)
−0.947375 + 0.320127i \(0.896274\pi\)
\(644\) −7.83312 5.30417i −0.308668 0.209014i
\(645\) 28.8577 17.3294i 1.13627 0.682344i
\(646\) −0.336834 + 0.216470i −0.0132526 + 0.00851690i
\(647\) 15.1224 + 2.17428i 0.594524 + 0.0854797i 0.433008 0.901390i \(-0.357452\pi\)
0.161517 + 0.986870i \(0.448361\pi\)
\(648\) −1.46931 8.87925i −0.0577199 0.348810i
\(649\) −4.01045 13.6583i −0.157424 0.536136i
\(650\) 6.05974 2.76739i 0.237683 0.108546i
\(651\) −14.9495 4.88787i −0.585919 0.191571i
\(652\) 1.84534 + 12.8346i 0.0722690 + 0.502642i
\(653\) 1.65285 5.62911i 0.0646812 0.220284i −0.920810 0.390012i \(-0.872471\pi\)
0.985491 + 0.169728i \(0.0542890\pi\)
\(654\) 25.4406 + 4.45095i 0.994805 + 0.174046i
\(655\) −4.96980 + 7.73316i −0.194186 + 0.302160i
\(656\) 5.77438 8.98512i 0.225452 0.350810i
\(657\) 5.35168 + 13.8969i 0.208789 + 0.542170i
\(658\) −6.02100 + 20.5056i −0.234723 + 0.799393i
\(659\) 1.22033 + 8.48755i 0.0475371 + 0.330628i 0.999688 + 0.0249980i \(0.00795794\pi\)
−0.952150 + 0.305630i \(0.901133\pi\)
\(660\) 2.22889 6.81706i 0.0867594 0.265354i
\(661\) 35.9332 16.4101i 1.39764 0.638280i 0.432889 0.901447i \(-0.357494\pi\)
0.964750 + 0.263167i \(0.0847670\pi\)
\(662\) 0.635773 + 2.16524i 0.0247100 + 0.0841545i
\(663\) −5.64032 + 0.636641i −0.219052 + 0.0247251i
\(664\) 10.9111 + 1.56878i 0.423433 + 0.0608805i
\(665\) −1.71755 + 1.10380i −0.0666038 + 0.0428037i
\(666\) −14.2316 + 26.7328i −0.551465 + 1.03588i
\(667\) −4.41635 + 9.08627i −0.171002 + 0.351822i
\(668\) 6.01351i 0.232670i
\(669\) −6.57295 3.24675i −0.254125 0.125527i
\(670\) 1.69130 11.7633i 0.0653406 0.454454i
\(671\) −30.1827 13.7840i −1.16519 0.532125i
\(672\) −2.51286 2.31482i −0.0969356 0.0892963i
\(673\) −7.50779 16.4398i −0.289404 0.633706i 0.707961 0.706251i \(-0.249615\pi\)
−0.997365 + 0.0725452i \(0.976888\pi\)
\(674\) −5.28967 6.10460i −0.203750 0.235140i
\(675\) −1.48170 7.52595i −0.0570307 0.289674i
\(676\) 7.06746 + 2.07519i 0.271826 + 0.0798152i
\(677\) 11.0744 12.7806i 0.425625 0.491198i −0.501917 0.864916i \(-0.667372\pi\)
0.927542 + 0.373718i \(0.121917\pi\)
\(678\) −6.33201 0.192566i −0.243179 0.00739546i
\(679\) 11.5268 + 7.40786i 0.442360 + 0.284287i
\(680\) 1.03021 + 0.892684i 0.0395068 + 0.0342329i
\(681\) 10.7709 + 41.2861i 0.412743 + 1.58209i
\(682\) 10.0516 1.44520i 0.384895 0.0553395i
\(683\) 8.96738 7.77028i 0.343127 0.297322i −0.466200 0.884679i \(-0.654377\pi\)
0.809327 + 0.587358i \(0.199832\pi\)
\(684\) 0.100516 1.65107i 0.00384333 0.0631302i
\(685\) −21.9316 + 6.43971i −0.837965 + 0.246049i
\(686\) 8.28363 18.1386i 0.316270 0.692535i
\(687\) 3.73991 + 8.89535i 0.142686 + 0.339379i
\(688\) 5.59719 + 8.70940i 0.213391 + 0.332043i
\(689\) −13.6676 −0.520693
\(690\) −14.5153 + 5.69641i −0.552589 + 0.216859i
\(691\) 49.8307 1.89565 0.947825 0.318792i \(-0.103277\pi\)
0.947825 + 0.318792i \(0.103277\pi\)
\(692\) 1.30500 + 2.03062i 0.0496088 + 0.0771928i
\(693\) 7.71162 10.5323i 0.292940 0.400089i
\(694\) −9.22595 + 20.2020i −0.350212 + 0.766858i
\(695\) −32.4269 + 9.52139i −1.23002 + 0.361167i
\(696\) −2.06501 + 3.00807i −0.0782740 + 0.114021i
\(697\) −5.86160 + 5.07911i −0.222024 + 0.192385i
\(698\) 13.4116 1.92830i 0.507638 0.0729873i
\(699\) 27.8045 7.25378i 1.05166 0.274363i
\(700\) −2.20061 1.90684i −0.0831753 0.0720718i
\(701\) −1.79941 1.15641i −0.0679628 0.0436770i 0.506218 0.862405i \(-0.331043\pi\)
−0.574181 + 0.818728i \(0.694679\pi\)
\(702\) 11.6435 20.3545i 0.439457 0.768231i
\(703\) −3.64505 + 4.20661i −0.137476 + 0.158655i
\(704\) 2.11653 + 0.621471i 0.0797699 + 0.0234226i
\(705\) 22.2486 + 27.3114i 0.837932 + 1.02861i
\(706\) −23.6095 27.2468i −0.888555 1.02545i
\(707\) 14.7908 + 32.3873i 0.556264 + 1.21805i
\(708\) −7.57289 + 8.22076i −0.284607 + 0.308955i
\(709\) 5.03891 + 2.30119i 0.189240 + 0.0864231i 0.507782 0.861486i \(-0.330466\pi\)
−0.318541 + 0.947909i \(0.603193\pi\)
\(710\) −0.672491 + 4.67728i −0.0252381 + 0.175535i
\(711\) 42.0356 3.45447i 1.57646 0.129553i
\(712\) 2.74860i 0.103008i
\(713\) −16.3332 14.8546i −0.611685 0.556308i
\(714\) 1.27728 + 2.12698i 0.0478009 + 0.0796001i
\(715\) 15.7206 10.1030i 0.587917 0.377831i
\(716\) 19.0441 + 2.73813i 0.711711 + 0.102329i
\(717\) −1.50988 13.3768i −0.0563875 0.499565i
\(718\) 3.04593 + 10.3735i 0.113673 + 0.387135i
\(719\) 15.1259 6.90778i 0.564102 0.257617i −0.112890 0.993608i \(-0.536011\pi\)
0.676991 + 0.735991i \(0.263283\pi\)
\(720\) −5.48987 + 1.25531i −0.204595 + 0.0467827i
\(721\) 2.52286 + 17.5469i 0.0939561 + 0.653479i
\(722\) −5.26727 + 17.9387i −0.196027 + 0.667608i
\(723\) 2.83941 16.2294i 0.105599 0.603577i
\(724\) −0.270095 + 0.420277i −0.0100380 + 0.0156195i
\(725\) −1.68120 + 2.61600i −0.0624383 + 0.0971558i
\(726\) 1.83100 10.4655i 0.0679546 0.388412i
\(727\) −6.91197 + 23.5400i −0.256351 + 0.873050i 0.726267 + 0.687412i \(0.241253\pi\)
−0.982618 + 0.185638i \(0.940565\pi\)
\(728\) −1.26686 8.81122i −0.0469530 0.326566i
\(729\) −19.6890 18.4755i −0.729222 0.684277i
\(730\) 8.47613 3.87092i 0.313716 0.143269i
\(731\) −2.11807 7.21347i −0.0783395 0.266800i
\(732\) 2.92221 + 25.8893i 0.108008 + 0.956897i
\(733\) −6.33969 0.911510i −0.234162 0.0336674i 0.0242348 0.999706i \(-0.492285\pi\)
−0.258397 + 0.966039i \(0.583194\pi\)
\(734\) 5.80790 3.73251i 0.214373 0.137769i
\(735\) −5.20414 8.66616i −0.191958 0.319656i
\(736\) −1.88689 4.40904i −0.0695518 0.162519i
\(737\) 13.9652i 0.514414i
\(738\) −2.62434 31.9342i −0.0966034 1.17552i
\(739\) −2.18082 + 15.1679i −0.0802226 + 0.557961i 0.909581 + 0.415526i \(0.136402\pi\)
−0.989804 + 0.142435i \(0.954507\pi\)
\(740\) 17.2377 + 7.87221i 0.633671 + 0.289388i
\(741\) 2.92004 3.16985i 0.107270 0.116447i
\(742\) 2.48171 + 5.43418i 0.0911063 + 0.199495i
\(743\) 18.5414 + 21.3980i 0.680219 + 0.785015i 0.985939 0.167107i \(-0.0534425\pi\)
−0.305720 + 0.952122i \(0.598897\pi\)
\(744\) −5.03601 6.18198i −0.184629 0.226642i
\(745\) 0.884560 + 0.259730i 0.0324078 + 0.00951578i
\(746\) 18.8193 21.7187i 0.689024 0.795177i
\(747\) 28.8553 16.1554i 1.05576 0.591094i
\(748\) −1.34757 0.866032i −0.0492721 0.0316653i
\(749\) −9.56403 8.28728i −0.349462 0.302810i
\(750\) −20.3746 + 5.31542i −0.743974 + 0.194092i
\(751\) 40.8972 5.88013i 1.49236 0.214569i 0.652673 0.757639i \(-0.273647\pi\)
0.839687 + 0.543070i \(0.182738\pi\)
\(752\) −8.18807 + 7.09500i −0.298588 + 0.258728i
\(753\) −19.8780 + 28.9560i −0.724394 + 1.05521i
\(754\) −9.12150 + 2.67831i −0.332185 + 0.0975384i
\(755\) 10.7769 23.5981i 0.392211 0.858823i
\(756\) −10.2071 0.933541i −0.371228 0.0339526i
\(757\) −20.0019 31.1235i −0.726980 1.13120i −0.986228 0.165392i \(-0.947111\pi\)
0.259248 0.965811i \(-0.416525\pi\)
\(758\) −8.09716 −0.294102
\(759\) 15.9308 9.05321i 0.578251 0.328611i
\(760\) −1.03503 −0.0375446
\(761\) −4.00966 6.23915i −0.145350 0.226169i 0.760943 0.648818i \(-0.224737\pi\)
−0.906293 + 0.422649i \(0.861100\pi\)
\(762\) −4.60569 10.9546i −0.166847 0.396844i
\(763\) 12.2187 26.7551i 0.442345 0.968601i
\(764\) −10.3199 + 3.03019i −0.373360 + 0.109628i
\(765\) 4.08194 + 0.248506i 0.147583 + 0.00898475i
\(766\) −9.71399 + 8.41722i −0.350981 + 0.304127i
\(767\) −28.8257 + 4.14451i −1.04084 + 0.149650i
\(768\) −0.437232 1.67596i −0.0157773 0.0604758i
\(769\) 6.64976 + 5.76205i 0.239797 + 0.207785i 0.766465 0.642286i \(-0.222014\pi\)
−0.526669 + 0.850071i \(0.676559\pi\)
\(770\) −6.87141 4.41599i −0.247628 0.159141i
\(771\) 37.5315 + 1.14139i 1.35166 + 0.0411062i
\(772\) −5.72508 + 6.60709i