Properties

Label 138.2.f.a.11.8
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 11.8
Character \(\chi\) \(=\) 138.11
Dual form 138.2.f.a.113.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.540641 + 0.841254i) q^{2} +(1.34287 + 1.09394i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-1.80115 + 0.528864i) q^{5} +(-0.194269 + 1.72112i) q^{6} +(1.49075 - 1.29175i) q^{7} +(-0.989821 + 0.142315i) q^{8} +(0.606601 + 2.93803i) q^{9} +O(q^{10})\) \(q+(0.540641 + 0.841254i) q^{2} +(1.34287 + 1.09394i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-1.80115 + 0.528864i) q^{5} +(-0.194269 + 1.72112i) q^{6} +(1.49075 - 1.29175i) q^{7} +(-0.989821 + 0.142315i) q^{8} +(0.606601 + 2.93803i) q^{9} +(-1.41868 - 1.22930i) q^{10} +(-1.85571 - 1.19259i) q^{11} +(-1.55293 + 0.767080i) q^{12} +(2.95529 - 3.41059i) q^{13} +(1.89265 + 0.555732i) q^{14} +(-2.99725 - 1.26015i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(-0.301664 - 0.660552i) q^{17} +(-2.14368 + 2.09873i) q^{18} +(-0.501549 - 0.229050i) q^{19} +(0.267151 - 1.85808i) q^{20} +(3.41498 - 0.103855i) 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} +(-2.39944 + 4.60898i) q^{27} +(0.555732 + 1.89265i) q^{28} +(-1.91619 + 0.875096i) q^{29} +(-0.560334 - 3.20273i) q^{30} +(0.655155 + 4.55670i) q^{31} +(0.281733 - 0.959493i) q^{32} +(-1.18736 - 3.63153i) q^{33} +(0.392600 - 0.610897i) q^{34} +(-2.00191 + 3.11503i) q^{35} +(-2.92452 - 0.668720i) q^{36} +(2.84409 - 9.68610i) q^{37} +(-0.0784689 - 0.545763i) q^{38} +(7.69954 - 1.34707i) q^{39} +(1.70755 - 0.779811i) q^{40} +(-3.00908 - 10.2480i) q^{41} +(1.93365 + 2.81672i) 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} +(-0.0526500 - 1.73125i) q^{48} +(-0.442463 + 3.07740i) q^{49} +(-1.34277 - 0.613225i) q^{50} +(0.317507 - 1.21704i) q^{51} +(1.87471 + 4.10503i) q^{52} +(1.98330 + 2.28885i) q^{53} +(-5.17455 + 0.473266i) q^{54} +(3.97313 + 1.16662i) q^{55} +(-1.29175 + 1.49075i) q^{56} +(-0.422949 - 0.856247i) q^{57} +(-1.77215 - 1.13889i) q^{58} +(4.87697 + 4.22592i) q^{59} +(2.39137 - 2.20291i) q^{60} +(-14.8890 + 2.14072i) q^{61} +(-3.47914 + 3.01469i) q^{62} +(4.69948 + 3.59631i) q^{63} +(0.959493 - 0.281733i) q^{64} +(-3.51917 + 7.70591i) q^{65} +(2.41310 - 2.96222i) q^{66} +(3.42273 + 5.32586i) q^{67} +0.726175 q^{68} +(8.30645 - 0.0529805i) q^{69} -3.70284 q^{70} +(1.36094 + 2.11766i) q^{71} +(-1.01855 - 2.82180i) q^{72} +(-2.06209 + 4.51534i) q^{73} +(9.68610 - 2.84409i) q^{74} +(-2.54067 - 0.286774i) q^{75} +(0.416702 - 0.361074i) q^{76} +(-4.30694 + 0.619244i) q^{77} +(5.29591 + 5.74898i) q^{78} +(10.6252 + 9.20675i) q^{79} +(1.57919 + 1.01488i) q^{80} +(-8.26407 + 3.56442i) q^{81} +(6.99432 - 8.07188i) q^{82} +(-10.5768 - 3.10563i) q^{83} +(-1.32416 + 3.14952i) q^{84} +(0.892684 + 1.03021i) q^{85} +(-4.30074 - 9.41731i) q^{86} +(-3.53050 - 0.921055i) q^{87} +(2.00655 + 0.916359i) q^{88} +(0.391167 - 2.72063i) q^{89} +(2.75114 - 4.91383i) 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} +(1.42796 - 0.980277i) q^{96} +(1.95701 + 6.66496i) q^{97} +(-2.82809 + 1.29154i) q^{98} +(2.37820 - 6.17557i) 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
\(3\) 1.34287 + 1.09394i 0.775306 + 0.631585i
\(4\) −0.415415 + 0.909632i −0.207708 + 0.454816i
\(5\) −1.80115 + 0.528864i −0.805497 + 0.236515i −0.658460 0.752616i \(-0.728792\pi\)
−0.147037 + 0.989131i \(0.546974\pi\)
\(6\) −0.194269 + 1.72112i −0.0793098 + 0.702645i
\(7\) 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
\(9\) 0.606601 + 2.93803i 0.202200 + 0.979344i
\(10\) −1.41868 1.22930i −0.448627 0.388737i
\(11\) −1.85571 1.19259i −0.559518 0.359580i 0.230112 0.973164i \(-0.426091\pi\)
−0.789630 + 0.613584i \(0.789727\pi\)
\(12\) −1.55293 + 0.767080i −0.448292 + 0.221437i
\(13\) 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
\(15\) −2.99725 1.26015i −0.773887 0.325368i
\(16\) −0.654861 0.755750i −0.163715 0.188937i
\(17\) −0.301664 0.660552i −0.0731643 0.160207i 0.869516 0.493905i \(-0.164431\pi\)
−0.942680 + 0.333697i \(0.891704\pi\)
\(18\) −2.14368 + 2.09873i −0.505270 + 0.494674i
\(19\) −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
\(21\) 3.41498 0.103855i 0.745210 0.0226630i
\(22\) 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
\(27\) −2.39944 + 4.60898i −0.461772 + 0.886999i
\(28\) 0.555732 + 1.89265i 0.105023 + 0.357677i
\(29\) −1.91619 + 0.875096i −0.355828 + 0.162501i −0.585306 0.810813i \(-0.699025\pi\)
0.229478 + 0.973314i \(0.426298\pi\)
\(30\) −0.560334 3.20273i −0.102302 0.584737i
\(31\) 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
\(33\) −1.18736 3.63153i −0.206692 0.632168i
\(34\) 0.392600 0.610897i 0.0673303 0.104768i
\(35\) −2.00191 + 3.11503i −0.338384 + 0.526536i
\(36\) −2.92452 0.668720i −0.487420 0.111453i
\(37\) 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
\(39\) 7.69954 1.34707i 1.23291 0.215704i
\(40\) 1.70755 0.779811i 0.269987 0.123299i
\(41\) −3.00908 10.2480i −0.469940 1.60047i −0.764359 0.644791i \(-0.776945\pi\)
0.294420 0.955676i \(-0.404874\pi\)
\(42\) 1.93365 + 2.81672i 0.298368 + 0.434629i
\(43\) −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 \(0.290012\pi\)
−0.612878 + 0.790177i \(0.709988\pi\)
\(48\) −0.0526500 1.73125i −0.00759937 0.249884i
\(49\) −0.442463 + 3.07740i −0.0632090 + 0.439628i
\(50\) −1.34277 0.613225i −0.189897 0.0867231i
\(51\) 0.317507 1.21704i 0.0444599 0.170419i
\(52\) 1.87471 + 4.10503i 0.259975 + 0.569266i
\(53\) 1.98330 + 2.28885i 0.272428 + 0.314398i 0.875434 0.483338i \(-0.160576\pi\)
−0.603006 + 0.797737i \(0.706030\pi\)
\(54\) −5.17455 + 0.473266i −0.704168 + 0.0644034i
\(55\) 3.97313 + 1.16662i 0.535737 + 0.157306i
\(56\) −1.29175 + 1.49075i −0.172617 + 0.199210i
\(57\) −0.422949 0.856247i −0.0560210 0.113413i
\(58\) −1.77215 1.13889i −0.232695 0.149544i
\(59\) 4.87697 + 4.22592i 0.634927 + 0.550168i 0.911746 0.410755i \(-0.134735\pi\)
−0.276819 + 0.960922i \(0.589280\pi\)
\(60\) 2.39137 2.20291i 0.308725 0.284395i
\(61\) −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
\(63\) 4.69948 + 3.59631i 0.592079 + 0.453093i
\(64\) 0.959493 0.281733i 0.119937 0.0352166i
\(65\) −3.51917 + 7.70591i −0.436500 + 0.955801i
\(66\) 2.41310 2.96222i 0.297033 0.364624i
\(67\) 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
\(69\) 8.30645 0.0529805i 0.999980 0.00637811i
\(70\) −3.70284 −0.442575
\(71\) 1.36094 + 2.11766i 0.161514 + 0.251320i 0.912572 0.408915i \(-0.134093\pi\)
−0.751059 + 0.660235i \(0.770457\pi\)
\(72\) −1.01855 2.82180i −0.120037 0.332552i
\(73\) −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
\(75\) −2.54067 0.286774i −0.293372 0.0331138i
\(76\) 0.416702 0.361074i 0.0477990 0.0414181i
\(77\) −4.30694 + 0.619244i −0.490821 + 0.0705694i
\(78\) 5.29591 + 5.74898i 0.599644 + 0.650944i
\(79\) 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
\(81\) −8.26407 + 3.56442i −0.918230 + 0.396047i
\(82\) 6.99432 8.07188i 0.772394 0.891390i
\(83\) −10.5768 3.10563i −1.16095 0.340887i −0.356151 0.934428i \(-0.615911\pi\)
−0.804803 + 0.593542i \(0.797729\pi\)
\(84\) −1.32416 + 3.14952i −0.144478 + 0.343641i
\(85\) 0.892684 + 1.03021i 0.0968251 + 0.111742i
\(86\) −4.30074 9.41731i −0.463761 1.01549i
\(87\) −3.53050 0.921055i −0.378509 0.0987475i
\(88\) 2.00655 + 0.916359i 0.213899 + 0.0976842i
\(89\) 0.391167 2.72063i 0.0414636 0.288386i −0.958531 0.284990i \(-0.908010\pi\)
0.999994 0.00339624i \(-0.00108106\pi\)
\(90\) 2.75114 4.91383i 0.289995 0.517963i
\(91\) 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
\(96\) 1.42796 0.980277i 0.145740 0.100049i
\(97\) 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
\(99\) 2.37820 6.17557i 0.239018 0.620668i
\(100\) −0.210081 1.46115i −0.0210081 0.146115i
\(101\) 5.08531 17.3190i 0.506008 1.72330i −0.169114 0.985597i \(-0.554090\pi\)
0.675121 0.737707i \(-0.264091\pi\)
\(102\) 1.19549 0.390876i 0.118372 0.0387025i
\(103\) −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
\(105\) −6.09595 + 1.99312i −0.594904 + 0.194508i
\(106\) −0.853252 + 2.90591i −0.0828752 + 0.282247i
\(107\) 0.913030 + 6.35026i 0.0882659 + 0.613903i 0.985158 + 0.171653i \(0.0549106\pi\)
−0.896892 + 0.442250i \(0.854180\pi\)
\(108\) −3.19571 4.09725i −0.307508 0.394258i
\(109\) 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
\(111\) 14.4152 9.89591i 1.36823 0.939278i
\(112\) −1.95247 0.280723i −0.184491 0.0265259i
\(113\) 3.07687 1.97738i 0.289447 0.186016i −0.387857 0.921720i \(-0.626785\pi\)
0.677304 + 0.735703i \(0.263148\pi\)
\(114\) 0.491658 0.818730i 0.0460480 0.0766811i
\(115\) −5.04773 + 7.45442i −0.470704 + 0.695128i
\(116\) 2.10656i 0.195589i
\(117\) 11.8131 + 6.61387i 1.09212 + 0.611453i
\(118\) −0.918379 + 6.38747i −0.0845437 + 0.588014i
\(119\) −1.30297 0.595048i −0.119443 0.0545479i
\(120\) 3.14608 + 0.820766i 0.287197 + 0.0749254i
\(121\) −2.54818 5.57973i −0.231653 0.507248i
\(122\) −9.85050 11.3681i −0.891822 1.02922i
\(123\) 7.16986 17.0535i 0.646484 1.53766i
\(124\) −4.41708 1.29697i −0.396666 0.116472i
\(125\) 7.96113 9.18763i 0.712065 0.821767i
\(126\) −0.484676 + 5.89777i −0.0431784 + 0.525415i
\(127\) −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
\(129\) −12.1493 13.1887i −1.06969 1.16120i
\(130\) −8.38523 + 1.20561i −0.735434 + 0.105739i
\(131\) 3.70085 3.20680i 0.323344 0.280179i −0.478029 0.878344i \(-0.658649\pi\)
0.801373 + 0.598165i \(0.204103\pi\)
\(132\) 3.79660 + 0.428535i 0.330452 + 0.0372992i
\(133\) −1.04356 + 0.306417i −0.0904882 + 0.0265697i
\(134\) −2.62994 + 5.75876i −0.227192 + 0.497481i
\(135\) 1.88422 9.57043i 0.162167 0.823691i
\(136\) 0.392600 + 0.610897i 0.0336652 + 0.0523840i
\(137\) 12.1765 1.04031 0.520154 0.854073i \(-0.325875\pi\)
0.520154 + 0.854073i \(0.325875\pi\)
\(138\) 4.53538 + 6.95919i 0.386077 + 0.592406i
\(139\) −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
\(141\) −11.8521 + 14.5491i −0.998128 + 1.22526i
\(142\) −1.04571 + 2.28979i −0.0877541 + 0.192155i
\(143\) −9.55161 + 2.80460i −0.798745 + 0.234533i
\(144\) 1.82318 2.38244i 0.151932 0.198537i
\(145\) 2.98854 2.58958i 0.248184 0.215053i
\(146\) −4.91340 + 0.706440i −0.406635 + 0.0584654i
\(147\) −3.96065 + 3.64852i −0.326669 + 0.300925i
\(148\) 7.62930 + 6.61083i 0.627125 + 0.543407i
\(149\) −0.413148 0.265514i −0.0338464 0.0217517i 0.523608 0.851959i \(-0.324586\pi\)
−0.557455 + 0.830207i \(0.688222\pi\)
\(150\) −1.13234 2.29239i −0.0924554 0.187173i
\(151\) 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
\(153\) 1.75773 1.28699i 0.142104 0.104047i
\(154\) −2.84945 3.28844i −0.229615 0.264990i
\(155\) −3.58991 7.86080i −0.288348 0.631394i
\(156\) −1.97316 + 7.56334i −0.157980 + 0.605552i
\(157\) −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
\(159\) 0.159455 + 5.24324i 0.0126456 + 0.415816i
\(160\) 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
\(165\) 4.05919 + 5.91297i 0.316008 + 0.460324i
\(166\) −3.10563 10.5768i −0.241043 0.820919i
\(167\) 5.47008 2.49810i 0.423288 0.193309i −0.192370 0.981322i \(-0.561618\pi\)
0.615658 + 0.788013i \(0.288890\pi\)
\(168\) −3.36544 + 0.588800i −0.259649 + 0.0454269i
\(169\) −1.04827 7.29086i −0.0806359 0.560835i
\(170\) −0.384048 + 1.30795i −0.0294551 + 0.100315i
\(171\) 0.368716 1.61251i 0.0281964 0.123312i
\(172\) 5.59719 8.70940i 0.426782 0.664085i
\(173\) −1.30500 + 2.03062i −0.0992176 + 0.154386i −0.887313 0.461167i \(-0.847431\pi\)
0.788096 + 0.615553i \(0.211067\pi\)
\(174\) −1.13389 3.46800i −0.0859600 0.262909i
\(175\) −0.820357 + 2.79388i −0.0620131 + 0.211197i
\(176\) 0.313931 + 2.18344i 0.0236634 + 0.164583i
\(177\) 1.92625 + 11.0100i 0.144785 + 0.827559i
\(178\) 2.50022 1.14181i 0.187399 0.0855824i
\(179\) 5.42051 + 18.4606i 0.405148 + 1.37981i 0.869402 + 0.494105i \(0.164504\pi\)
−0.464254 + 0.885702i \(0.653678\pi\)
\(180\) 5.62115 0.342212i 0.418976 0.0255070i
\(181\) 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
\(186\) −7.96991 + 0.242377i −0.584382 + 0.0177720i
\(187\) −0.227969 + 1.58556i −0.0166707 + 0.115947i
\(188\) −9.85528 4.50076i −0.718770 0.328251i
\(189\) 2.37666 + 9.97032i 0.172876 + 0.725234i
\(190\) 0.429969 + 0.941501i 0.0311932 + 0.0683036i
\(191\) −7.04339 8.12851i −0.509642 0.588158i 0.441365 0.897328i \(-0.354494\pi\)
−0.951007 + 0.309169i \(0.899949\pi\)
\(192\) 1.59667 + 0.671295i 0.115230 + 0.0484466i
\(193\) 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
\(195\) −13.1556 + 6.49828i −0.942091 + 0.465352i
\(196\) −2.61549 1.68088i −0.186821 0.120063i
\(197\) −0.639673 0.554280i −0.0455748 0.0394908i 0.631776 0.775151i \(-0.282326\pi\)
−0.677350 + 0.735661i \(0.736872\pi\)
\(198\) 6.48097 1.33809i 0.460583 0.0950941i
\(199\) 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
\(201\) −1.22989 + 10.8962i −0.0867496 + 0.768558i
\(202\) 17.3190 5.08531i 1.21856 0.357801i
\(203\) −1.72617 + 3.77979i −0.121153 + 0.265289i
\(204\) 0.975159 + 0.794390i 0.0682748 + 0.0556185i
\(205\) 10.8396 + 16.8667i 0.757070 + 1.17802i
\(206\) −8.98699 −0.626154
\(207\) 11.2124 + 9.01560i 0.779319 + 0.626627i
\(208\) −4.51285 −0.312910
\(209\) 0.657567 + 1.02319i 0.0454849 + 0.0707758i
\(210\) −4.97244 4.05068i −0.343131 0.279524i
\(211\) 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
\(213\) −0.489026 + 4.33252i −0.0335075 + 0.296860i
\(214\) −4.84856 + 4.20130i −0.331441 + 0.287195i
\(215\) 19.2365 2.76579i 1.31192 0.188625i
\(216\) 1.71909 4.90354i 0.116969 0.333644i
\(217\) 6.86277 + 5.94663i 0.465876 + 0.403683i
\(218\) 12.5441 + 8.06161i 0.849595 + 0.546001i
\(219\) −7.70862 + 3.80772i −0.520900 + 0.257302i
\(220\) −2.71169 + 3.12946i −0.182822 + 0.210988i
\(221\) −3.14437 0.923272i −0.211514 0.0621060i
\(222\) 16.1184 + 6.77674i 1.08180 + 0.454825i
\(223\) 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
\(225\) −3.09808 3.16444i −0.206539 0.210963i
\(226\) 3.32696 + 1.51937i 0.221306 + 0.101067i
\(227\) −3.50584 + 24.3836i −0.232690 + 1.61840i 0.453693 + 0.891158i \(0.350106\pi\)
−0.686383 + 0.727240i \(0.740803\pi\)
\(228\) 0.954569 0.0290299i 0.0632179 0.00192255i
\(229\) 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 0.657366 0.753571i \(-0.271671\pi\)
0.418433 + 0.908248i \(0.362580\pi\)
\(234\) 0.822696 + 13.5135i 0.0537813 + 0.883407i
\(235\) −5.72991 19.5143i −0.373778 1.27297i
\(236\) −5.86999 + 2.68074i −0.382104 + 0.174501i
\(237\) 4.19659 + 23.9867i 0.272598 + 1.55811i
\(238\) −0.203854 1.41784i −0.0132139 0.0919047i
\(239\) 2.18966 7.45730i 0.141637 0.482373i −0.857866 0.513873i \(-0.828210\pi\)
0.999504 + 0.0315001i \(0.0100285\pi\)
\(240\) 1.01043 + 3.09039i 0.0652228 + 0.199484i
\(241\) −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
\(243\) −14.9968 4.25382i −0.962047 0.272883i
\(244\) 4.23786 14.4328i 0.271301 0.923966i
\(245\) −0.830585 5.77685i −0.0530641 0.369069i
\(246\) 18.2226 3.18813i 1.16183 0.203268i
\(247\) −2.26342 + 1.03367i −0.144018 + 0.0657707i
\(248\) −1.29697 4.41708i −0.0823578 0.280485i
\(249\) −10.8059 15.7408i −0.684796 0.997533i
\(250\) 12.0332 + 1.73012i 0.761049 + 0.109422i
\(251\) −17.0589 + 10.9631i −1.07675 + 0.691983i −0.953804 0.300431i \(-0.902870\pi\)
−0.122943 + 0.992414i \(0.539233\pi\)
\(252\) −5.22356 + 2.78084i −0.329053 + 0.175176i
\(253\) −10.5045 + 1.25358i −0.660414 + 0.0788121i
\(254\) 6.86091i 0.430492i
\(255\) 0.0717707 + 2.35998i 0.00449445 + 0.147788i
\(256\) −0.142315 + 0.989821i −0.00889468 + 0.0618638i
\(257\) 19.7198 + 9.00572i 1.23009 + 0.561761i 0.921108 0.389308i \(-0.127286\pi\)
0.308978 + 0.951069i \(0.400013\pi\)
\(258\) 4.52661 17.3510i 0.281815 1.08022i
\(259\) −8.27213 18.1134i −0.514005 1.12551i
\(260\) −5.54763 6.40230i −0.344049 0.397054i
\(261\) −3.73342 5.09900i −0.231093 0.315620i
\(262\) 4.69856 + 1.37962i 0.290278 + 0.0852333i
\(263\) 1.26151 1.45586i 0.0777878 0.0897719i −0.715522 0.698591i \(-0.753811\pi\)
0.793309 + 0.608819i \(0.208356\pi\)
\(264\) 1.69209 + 3.42559i 0.104141 + 0.210830i
\(265\) −4.78271 3.07366i −0.293800 0.188814i
\(266\) −0.821966 0.712237i −0.0503980 0.0436701i
\(267\) 3.50148 3.22554i 0.214287 0.197400i
\(268\) −6.26643 + 0.900976i −0.382783 + 0.0550359i
\(269\) −11.1453 + 9.65750i −0.679544 + 0.588828i −0.924719 0.380651i \(-0.875700\pi\)
0.245175 + 0.969479i \(0.421155\pi\)
\(270\) 9.06984 3.58906i 0.551973 0.218423i
\(271\) −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
\(273\) 9.73805 11.9540i 0.589373 0.723489i
\(274\) 6.58311 + 10.2435i 0.397700 + 0.618833i
\(275\) 3.25628 0.196361
\(276\) −3.40243 + 7.57783i −0.204802 + 0.456132i
\(277\) −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
\(279\) −12.9903 + 4.68896i −0.777710 + 0.280721i
\(280\) 1.53822 3.36823i 0.0919260 0.201290i
\(281\) −11.4144 + 3.35157i −0.680927 + 0.199938i −0.603863 0.797088i \(-0.706373\pi\)
−0.0770637 + 0.997026i \(0.524554\pi\)
\(282\) −18.6473 2.10478i −1.11043 0.125338i
\(283\) 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
\(285\) 1.21463 + 1.31854i 0.0719486 + 0.0781038i
\(286\) −7.52337 6.51904i −0.444866 0.385479i
\(287\) −17.7236 11.3903i −1.04619 0.672346i
\(288\) 2.98992 + 0.245710i 0.176183 + 0.0144786i
\(289\) 10.7873 12.4492i 0.634547 0.732307i
\(290\) 3.79422 + 1.11408i 0.222804 + 0.0654212i
\(291\) −4.66304 + 11.0910i −0.273352 + 0.650167i
\(292\) −3.25068 3.75148i −0.190231 0.219539i
\(293\) −12.1468 26.5979i −0.709626 1.55386i −0.827895 0.560883i \(-0.810462\pi\)
0.118269 0.992982i \(-0.462266\pi\)
\(294\) −5.21062 1.35937i −0.303890 0.0792803i
\(295\) −11.0191 5.03224i −0.641555 0.292988i
\(296\) −1.43667 + 9.99226i −0.0835048 + 0.580788i
\(297\) 9.94931 5.69138i 0.577317 0.330247i
\(298\) 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
\(303\) 25.7748 17.6941i 1.48072 1.01650i
\(304\) 0.155340 + 0.529041i 0.00890939 + 0.0303426i
\(305\) 25.6852 11.7300i 1.47073 0.671659i
\(306\) 2.03299 + 0.782901i 0.116218 + 0.0447555i
\(307\) 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
\(309\) −14.7952 + 4.83740i −0.841669 + 0.275190i
\(310\) 4.67207 7.26989i 0.265356 0.412902i
\(311\) 6.44713 10.0319i 0.365583 0.568859i −0.608920 0.793232i \(-0.708397\pi\)
0.974503 + 0.224373i \(0.0720333\pi\)
\(312\) −7.42946 + 2.42912i −0.420610 + 0.137522i
\(313\) −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
\(315\) −10.3664 3.99209i −0.584082 0.224929i
\(316\) −12.7886 + 5.84036i −0.719415 + 0.328546i
\(317\) −4.19170 14.2756i −0.235429 0.801798i −0.989441 0.144937i \(-0.953702\pi\)
0.754012 0.656861i \(-0.228116\pi\)
\(318\) −4.32469 + 2.96885i −0.242517 + 0.166485i
\(319\) 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
\(324\) 0.190705 8.99798i 0.0105947 0.499888i
\(325\) −0.948066 + 6.59395i −0.0525893 + 0.365766i
\(326\) 11.7948 + 5.38652i 0.653255 + 0.298332i
\(327\) 24.9905 + 6.51967i 1.38198 + 0.360538i
\(328\) 4.43689 + 9.71544i 0.244986 + 0.536446i
\(329\) 13.9952 + 16.1514i 0.771583 + 0.890454i
\(330\) −2.77974 + 6.61160i −0.153020 + 0.363957i
\(331\) −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
\(333\) 30.1833 + 2.48045i 1.65403 + 0.135928i
\(334\) 5.05889 + 3.25115i 0.276810 + 0.177895i
\(335\) −8.98149 7.78251i −0.490711 0.425204i
\(336\) −2.31482 2.51286i −0.126284 0.137088i
\(337\) 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
\(339\) 6.29496 + 0.710533i 0.341896 + 0.0385908i
\(340\) −1.30795 + 0.384048i −0.0709334 + 0.0208279i
\(341\) 4.21851 9.23726i 0.228445 0.500225i
\(342\) 1.55587 0.561605i 0.0841319 0.0303681i
\(343\) 10.7807 + 16.7751i 0.582103 + 0.905770i
\(344\) 10.3529 0.558190
\(345\) −14.9331 + 4.48841i −0.803972 + 0.241648i
\(346\) −2.41381 −0.129767
\(347\) 12.0071 + 18.6834i 0.644574 + 1.00298i 0.997725 + 0.0674109i \(0.0214738\pi\)
−0.353151 + 0.935566i \(0.614890\pi\)
\(348\) 2.30444 2.82883i 0.123531 0.151641i
\(349\) −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
\(351\) 8.62828 + 21.8044i 0.460544 + 1.16383i
\(352\) −1.66710 + 1.44455i −0.0888567 + 0.0769948i
\(353\) −35.6857 + 5.13083i −1.89936 + 0.273087i −0.989798 0.142481i \(-0.954492\pi\)
−0.909562 + 0.415568i \(0.863583\pi\)
\(354\) −8.22076 + 7.57289i −0.436928 + 0.402495i
\(355\) −3.57120 3.09446i −0.189540 0.164237i
\(356\) 2.31227 + 1.48601i 0.122550 + 0.0787582i
\(357\) −1.09878 2.22444i −0.0581535 0.117730i
\(358\) −12.5995 + 14.5406i −0.665902 + 0.768492i
\(359\) 10.3735 + 3.04593i 0.547492 + 0.160758i 0.543769 0.839235i \(-0.316997\pi\)
0.00372270 + 0.999993i \(0.498815\pi\)
\(360\) 3.32691 + 4.54380i 0.175344 + 0.239479i
\(361\) −12.2433 14.1295i −0.644382 0.743657i
\(362\) 0.207535 + 0.454438i 0.0109078 + 0.0238847i
\(363\) 2.68201 10.2804i 0.140769 0.539581i
\(364\) 8.09739 + 3.69795i 0.424418 + 0.193825i
\(365\) 1.32612 9.22335i 0.0694122 0.482772i
\(366\) −0.791968 26.0417i −0.0413968 1.36122i
\(367\) 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
\(372\) −4.51276 6.57368i −0.233976 0.340829i
\(373\) 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
\(375\) 20.7415 3.62882i 1.07108 0.187391i
\(376\) −1.54189 10.7241i −0.0795169 0.553052i
\(377\) −2.67831 + 9.12150i −0.137940 + 0.469781i
\(378\) −7.10265 + 7.38973i −0.365321 + 0.380087i
\(379\) 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
\(381\) −3.69300 11.2950i −0.189198 0.578662i
\(382\) 3.03019 10.3199i 0.155038 0.528011i
\(383\) 1.82924 + 12.7226i 0.0934696 + 0.650096i 0.981663 + 0.190625i \(0.0610516\pi\)
−0.888193 + 0.459470i \(0.848039\pi\)
\(384\) 0.298497 + 1.70614i 0.0152326 + 0.0870659i
\(385\) 7.42993 3.39314i 0.378664 0.172930i
\(386\) 2.46303 + 8.38831i 0.125365 + 0.426954i
\(387\) −1.88734 31.0012i −0.0959387 1.57588i
\(388\) −6.87563 0.988566i −0.349057 0.0501868i
\(389\) −28.9931 + 18.6327i −1.47001 + 0.944717i −0.472003 + 0.881597i \(0.656469\pi\)
−0.998006 + 0.0631206i \(0.979895\pi\)
\(390\) −12.5791 7.55394i −0.636970 0.382509i
\(391\) −3.13223 1.52241i −0.158404 0.0769916i
\(392\) 3.10904i 0.157030i
\(393\) 8.47779 0.257823i 0.427648 0.0130054i
\(394\) 0.120457 0.837794i 0.00606852 0.0422074i
\(395\) −24.0066 10.9634i −1.20790 0.551630i
\(396\) 4.62955 + 4.72871i 0.232644 + 0.237627i
\(397\) −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
\(399\) −1.73657 0.730112i −0.0869371 0.0365513i
\(400\) 1.41638 + 0.415886i 0.0708189 + 0.0207943i
\(401\) −1.78297 + 2.05766i −0.0890373 + 0.102755i −0.798520 0.601968i \(-0.794383\pi\)
0.709483 + 0.704723i \(0.248929\pi\)
\(402\) −9.83139 + 4.85628i −0.490345 + 0.242209i
\(403\) 17.4772 + 11.2319i 0.870601 + 0.559501i
\(404\) 13.6414 + 11.8203i 0.678684 + 0.588083i
\(405\) 12.9997 10.7906i 0.645961 0.536190i
\(406\) −4.11300 + 0.591360i −0.204125 + 0.0293487i
\(407\) −16.8294 + 14.5828i −0.834202 + 0.722840i
\(408\) −0.141073 + 1.24984i −0.00698415 + 0.0618761i
\(409\) −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
\(411\) 16.3514 + 13.3203i 0.806557 + 0.657043i
\(412\) −4.85874 7.56034i −0.239373 0.372471i
\(413\) 12.7292 0.626362
\(414\) −1.52250 + 14.3067i −0.0748266 + 0.703137i
\(415\) 20.6928 1.01577
\(416\) −2.43983 3.79645i −0.119623 0.186136i
\(417\) −24.1763 19.6947i −1.18392 0.964452i
\(418\) −0.505258 + 1.10636i −0.0247130 + 0.0541139i
\(419\) −35.5048 + 10.4252i −1.73452 + 0.509302i −0.987786 0.155816i \(-0.950199\pi\)
−0.746738 + 0.665118i \(0.768381\pi\)
\(420\) 0.719346 6.37305i 0.0351005 0.310973i
\(421\) 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
\(423\) −31.8317 + 6.57213i −1.54771 + 0.319548i
\(424\) −2.28885 1.98330i −0.111157 0.0963177i
\(425\) 0.901791 + 0.579546i 0.0437433 + 0.0281121i
\(426\) −3.90914 + 1.93094i −0.189398 + 0.0935545i
\(427\) −19.4306 + 22.4241i −0.940313 + 1.08518i
\(428\) −6.15569 1.80747i −0.297546 0.0873675i
\(429\) −15.8946 6.68264i −0.767400 0.322641i
\(430\) 12.7267 + 14.6874i 0.613738 + 0.708291i
\(431\) 6.22902 + 13.6396i 0.300041 + 0.656999i 0.998265 0.0588809i \(-0.0187532\pi\)
−0.698224 + 0.715880i \(0.746026\pi\)
\(432\) 5.05453 1.20486i 0.243186 0.0579691i
\(433\) 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
\(435\) 6.84606 0.208199i 0.328243 0.00998238i
\(436\) 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
\(441\) −9.30989 + 0.566781i −0.443328 + 0.0269896i
\(442\) −0.923272 3.14437i −0.0439156 0.149563i
\(443\) 17.2153 7.86195i 0.817922 0.373532i 0.0378976 0.999282i \(-0.487934\pi\)
0.780024 + 0.625749i \(0.215207\pi\)
\(444\) 3.01333 + 17.2235i 0.143006 + 0.817390i
\(445\) 0.734293 + 5.10712i 0.0348088 + 0.242101i
\(446\) −1.19246 + 4.06116i −0.0564649 + 0.192302i
\(447\) −0.264348 0.808508i −0.0125032 0.0382411i
\(448\) 1.06644 1.65942i 0.0503846 0.0784000i
\(449\) 12.1071 18.8391i 0.571371 0.889071i −0.428524 0.903530i \(-0.640966\pi\)
0.999895 + 0.0144592i \(0.00460268\pi\)
\(450\) 0.987146 4.31710i 0.0465345 0.203510i
\(451\) −6.63770 + 22.6059i −0.312557 + 1.06447i
\(452\) 0.520513 + 3.62025i 0.0244829 + 0.170282i
\(453\) 23.5786 4.12519i 1.10782 0.193818i
\(454\) −22.4082 + 10.2335i −1.05167 + 0.480281i
\(455\) 4.70786 + 16.0335i 0.220708 + 0.751662i
\(456\) 0.540501 + 0.787340i 0.0253113 + 0.0368706i
\(457\) −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 \(0.205533\pi\)
−0.798679 + 0.601758i \(0.794467\pi\)
\(462\) −0.229092 7.53306i −0.0106583 0.350470i
\(463\) 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
\(465\) 3.77845 14.4832i 0.175221 0.671641i
\(466\) 6.89183 + 15.0910i 0.319258 + 0.699077i
\(467\) −19.3933 22.3810i −0.897414 1.03567i −0.999165 0.0408613i \(-0.986990\pi\)
0.101751 0.994810i \(-0.467556\pi\)
\(468\) −10.9235 + 7.99806i −0.504940 + 0.369711i
\(469\) 11.9821 + 3.51826i 0.553282 + 0.162458i
\(470\) 13.3186 15.3705i 0.614343 0.708989i
\(471\) −2.26894 4.59340i −0.104547 0.211652i
\(472\) −5.42874 3.48884i −0.249878 0.160587i
\(473\) 17.2593 + 14.9552i 0.793582 + 0.687643i
\(474\) −17.9101 + 16.4986i −0.822637 + 0.757806i
\(475\) 0.805642 0.115834i 0.0369654 0.00531482i
\(476\) 1.08255 0.938034i 0.0496185 0.0429947i
\(477\) −5.52166 + 7.21543i −0.252819 + 0.330372i
\(478\) 7.45730 2.18966i 0.341089 0.100153i
\(479\) 7.46364 16.3431i 0.341022 0.746735i −0.658963 0.752176i \(-0.729005\pi\)
0.999985 + 0.00544059i \(0.00173180\pi\)
\(480\) −2.05352 + 2.52082i −0.0937301 + 0.115059i
\(481\) −24.6301 38.3252i −1.12304 1.74748i
\(482\) −9.51236 −0.433276
\(483\) 12.3144 10.8088i 0.560327 0.491818i
\(484\) 6.13406 0.278821
\(485\) −7.04972 10.9696i −0.320111 0.498103i
\(486\) −4.52936 14.9159i −0.205456 0.676600i
\(487\) 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
\(489\) 22.3171 + 2.51900i 1.00921 + 0.113913i
\(490\) 4.41075 3.82193i 0.199257 0.172657i
\(491\) 34.5209 4.96336i 1.55791 0.223993i 0.691146 0.722715i \(-0.257106\pi\)
0.866762 + 0.498722i \(0.166197\pi\)
\(492\) 12.5339 + 13.6062i 0.565072 + 0.613415i
\(493\) 1.15609 + 1.00176i 0.0520678 + 0.0451170i
\(494\) −2.09327 1.34526i −0.0941807 0.0605263i
\(495\) −1.01745 + 12.3809i −0.0457311 + 0.556478i
\(496\) 3.01469 3.47914i 0.135364 0.156218i
\(497\) 4.76430 + 1.39893i 0.213708 + 0.0627504i
\(498\) 7.39990 17.6006i 0.331597 0.788703i
\(499\) 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
\(501\) 10.0784 + 2.62930i 0.450269 + 0.117469i
\(502\) −18.4454 8.42375i −0.823260 0.375970i
\(503\) 0.121216 0.843078i 0.00540477 0.0375910i −0.986941 0.161085i \(-0.948501\pi\)
0.992345 + 0.123494i \(0.0394099\pi\)
\(504\) −5.16346 2.89090i −0.229999 0.128771i
\(505\) 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 0.674159 0.738586i \(-0.264506\pi\)
0.438767 + 0.898601i \(0.355415\pi\)
\(510\) −1.94654 + 1.33628i −0.0861943 + 0.0591714i
\(511\) 2.75861 + 9.39496i 0.122034 + 0.415608i
\(512\) −0.909632 + 0.415415i −0.0402004 + 0.0183589i
\(513\) 2.25912 1.76204i 0.0997427 0.0777959i
\(514\) 3.08522 + 21.4582i 0.136083 + 0.946480i
\(515\) 4.75290 16.1869i 0.209438 0.713280i
\(516\) 17.0438 5.57261i 0.750313 0.245321i
\(517\) 12.9210 20.1055i 0.568265 0.884237i
\(518\) 10.7657 16.7518i 0.473020 0.736033i
\(519\) −3.97383 + 1.29927i −0.174432 + 0.0570318i
\(520\) 2.38669 8.12831i 0.104663 0.356450i
\(521\) −2.84880 19.8138i −0.124808 0.868059i −0.951991 0.306126i \(-0.900967\pi\)
0.827183 0.561933i \(-0.189942\pi\)
\(522\) 2.27111 5.89748i 0.0994039 0.258126i
\(523\) −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
\(525\) −4.15796 + 2.85440i −0.181468 + 0.124576i
\(526\) 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
\(531\) −9.45751 + 16.8921i −0.410421 + 0.733056i
\(532\) 0.154784 1.07655i 0.00671074 0.0466742i
\(533\) −43.8444 20.0230i −1.89911 0.867294i
\(534\) 4.60654 + 1.20178i 0.199344 + 0.0520060i
\(535\) −5.00293 10.9549i −0.216295 0.473621i
\(536\) −4.14584 4.78455i −0.179073 0.206661i
\(537\) −12.9157 + 30.7198i −0.557352 + 1.32566i
\(538\) −14.1500 4.15482i −0.610051 0.179127i
\(539\) 4.49117 5.18308i 0.193448 0.223251i
\(540\) 7.92283 + 5.68964i 0.340944 + 0.244843i
\(541\) −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
\(543\) 0.586271 + 0.636427i 0.0251593 + 0.0273117i
\(544\) −0.718784 + 0.103346i −0.0308176 + 0.00443090i
\(545\) −21.1543 + 18.3303i −0.906150 + 0.785183i
\(546\) 15.3211 + 1.72935i 0.655684 + 0.0740091i
\(547\) −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
\(549\) −15.3212 42.4459i −0.653892 1.81155i
\(550\) 1.76048 + 2.73935i 0.0750669 + 0.116806i
\(551\) 1.16150 0.0494818
\(552\) −8.21437 + 1.23457i −0.349627 + 0.0525469i
\(553\) 27.7323 1.17930
\(554\) −8.60291 13.3864i −0.365503 0.568733i
\(555\) −20.7304 + 25.4477i −0.879955 + 1.08019i
\(556\) 7.47891 16.3765i 0.317176 0.694520i
\(557\) −17.4775 + 5.13187i −0.740547 + 0.217444i −0.630183 0.776447i \(-0.717020\pi\)
−0.110364 + 0.993891i \(0.535202\pi\)
\(558\) −10.9677 8.39311i −0.464300 0.355309i
\(559\) −35.3094 + 30.5958i −1.49343 + 1.29406i
\(560\) 3.66515 0.526970i 0.154881 0.0222685i
\(561\) −2.04063 + 1.87981i −0.0861556 + 0.0793658i
\(562\) −8.99062 7.79042i −0.379247 0.328619i
\(563\) −2.07744 1.33509i −0.0875537 0.0562673i 0.496131 0.868247i \(-0.334753\pi\)
−0.583685 + 0.811980i \(0.698390\pi\)
\(564\) −8.31082 16.8250i −0.349949 0.708460i
\(565\) −4.49612 + 5.18880i −0.189153 + 0.218294i
\(566\) 7.81087 + 2.29348i 0.328315 + 0.0964021i
\(567\) −7.71537 + 15.9888i −0.324015 + 0.671465i
\(568\) −1.64846 1.90242i −0.0691678 0.0798239i
\(569\) 2.72157 + 5.95940i 0.114094 + 0.249831i 0.958061 0.286564i \(-0.0925130\pi\)
−0.843967 + 0.536395i \(0.819786\pi\)
\(570\) −0.452551 + 1.73467i −0.0189553 + 0.0726574i
\(571\) 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
\(573\) −0.566280 18.6206i −0.0236567 0.777885i
\(574\) 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
\(579\) 8.57001 + 12.4838i 0.356157 + 0.518810i
\(580\) 1.11408 + 3.79422i 0.0462598 + 0.157546i
\(581\) −19.7791 + 9.03281i −0.820575 + 0.374744i
\(582\) −11.8514 + 2.07346i −0.491256 + 0.0859476i
\(583\) −0.950767 6.61273i −0.0393767 0.273871i
\(584\) 1.39850 4.76285i 0.0578703 0.197088i
\(585\) −24.7750 5.66503i −1.02432 0.234220i
\(586\) 15.8085 24.5985i 0.653042 1.01615i
\(587\) 11.7978 18.3578i 0.486948 0.757706i −0.507644 0.861567i \(-0.669483\pi\)
0.994592 + 0.103861i \(0.0331197\pi\)
\(588\) −1.67350 5.11839i −0.0690138 0.211079i
\(589\) 0.715119 2.43547i 0.0294660 0.100352i
\(590\) −1.72397 11.9905i −0.0709747 0.493640i
\(591\) −0.252650 1.44409i −0.0103926 0.0594019i
\(592\) −9.18275 + 4.19362i −0.377409 + 0.172357i
\(593\) −2.22412 7.57465i −0.0913336 0.311054i 0.901137 0.433534i \(-0.142733\pi\)
−0.992471 + 0.122480i \(0.960915\pi\)
\(594\) 10.1669 + 5.29289i 0.417153 + 0.217170i
\(595\) 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 \(-0.610633\pi\)
0.340609 0.940205i \(-0.389367\pi\)
\(600\) 2.55563 0.0777205i 0.104333 0.00317293i
\(601\) 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
\(603\) −13.5713 + 13.2868i −0.552668 + 0.541078i
\(604\) 5.74098 + 12.5710i 0.233597 + 0.511507i
\(605\) 7.54057 + 8.70228i 0.306568 + 0.353798i
\(606\) 28.8202 + 12.1170i 1.17074 + 0.492219i
\(607\) −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
\(609\) −6.45287 + 3.18744i −0.261484 + 0.129162i
\(610\) 23.7544 + 15.2660i 0.961786 + 0.618102i
\(611\) 36.9515 + 32.0187i 1.49490 + 1.29534i
\(612\) 0.440498 + 2.13353i 0.0178061 + 0.0862427i
\(613\) 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
\(615\) −3.89499 + 34.5077i −0.157061 + 1.39148i
\(616\) 4.17497 1.22588i 0.168214 0.0493922i
\(617\) −16.7198 + 36.6113i −0.673115 + 1.47392i 0.196663 + 0.980471i \(0.436990\pi\)
−0.869777 + 0.493444i \(0.835738\pi\)
\(618\) −12.0684 9.83121i −0.485461 0.395469i
\(619\) −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
\(621\) 5.19436 + 24.3725i 0.208442 + 0.978035i
\(622\) 11.9250 0.478148
\(623\) −2.93122 4.56107i −0.117437 0.182736i
\(624\) −6.06017 4.93678i −0.242601 0.197629i
\(625\) −6.41402 + 14.0448i −0.256561 + 0.561790i
\(626\) −23.1608 + 6.80062i −0.925691 + 0.271808i
\(627\) −0.236284 + 2.09335i −0.00943626 + 0.0836005i
\(628\) 2.23543 1.93701i 0.0892032 0.0772950i
\(629\) −7.25613 + 1.04327i −0.289321 + 0.0415981i
\(630\) −2.24615 10.8791i −0.0894887 0.433433i
\(631\) −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
\(633\) 16.0045 7.90555i 0.636123 0.314217i
\(634\) 9.74320 11.2443i 0.386952 0.446566i
\(635\) 12.3575 + 3.62849i 0.490392 + 0.143992i
\(636\) −4.83566 2.03308i −0.191747 0.0806167i
\(637\) 9.18812 + 10.6037i 0.364047 + 0.420132i
\(638\) 1.93036 + 4.22691i 0.0764238 + 0.167345i
\(639\) −5.39621 + 5.28305i −0.213471 + 0.208994i
\(640\) −1.70755 0.779811i −0.0674968 0.0308247i
\(641\) −1.62988 + 11.3361i −0.0643763 + 0.447747i 0.931984 + 0.362501i \(0.118077\pi\)
−0.996360 + 0.0852466i \(0.972832\pi\)
\(642\) −11.1069 + 0.337779i −0.438356 + 0.0133311i
\(643\) 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 −0.161517 0.986870i \(-0.551639\pi\)
−0.433008 + 0.901390i \(0.642548\pi\)
\(648\) 7.67268 4.70424i 0.301412 0.184800i
\(649\) −4.01045 13.6583i −0.157424 0.536136i
\(650\) −6.05974 + 2.76739i −0.237683 + 0.108546i
\(651\) 2.71057 + 15.4930i 0.106236 + 0.607218i
\(652\) 1.84534 + 12.8346i 0.0722690 + 0.502642i
\(653\) −1.65285 + 5.62911i −0.0646812 + 0.220284i −0.985491 0.169728i \(-0.945711\pi\)
0.920810 + 0.390012i \(0.127529\pi\)
\(654\) 8.02622 + 24.5482i 0.313850 + 0.959910i
\(655\) −4.96980 + 7.73316i −0.194186 + 0.302160i
\(656\) −5.77438 + 8.98512i −0.225452 + 0.350810i
\(657\) −14.5171 3.31947i −0.566365 0.129505i
\(658\) −6.02100 + 20.5056i −0.234723 + 0.799393i
\(659\) −1.22033 8.48755i −0.0475371 0.330628i −0.999688 0.0249980i \(-0.992042\pi\)
0.952150 0.305630i \(-0.0988670\pi\)
\(660\) −7.06487 + 1.23603i −0.275000 + 0.0481126i
\(661\) 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
\(663\) −3.21249 4.67958i −0.124763 0.181740i
\(664\) 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
\(669\) 0.222847 + 7.32771i 0.00861576 + 0.283306i
\(670\) 1.69130 11.7633i 0.0653406 0.454454i
\(671\) 30.1827 + 13.7840i 1.16519 + 0.532125i
\(672\) 0.862463 3.30591i 0.0332702 0.127528i
\(673\) −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
\(675\) −0.698623 7.63854i −0.0268900 0.294008i
\(676\) 7.06746 + 2.07519i 0.271826 + 0.0798152i
\(677\) −11.0744 + 12.7806i −0.425625 + 0.491198i −0.927542 0.373718i \(-0.878083\pi\)
0.501917 + 0.864916i \(0.332628\pi\)
\(678\) 2.80558 + 5.67980i 0.107748 + 0.218132i
\(679\) 11.5268 + 7.40786i 0.442360 + 0.284287i
\(680\) −1.03021 0.892684i −0.0395068 0.0342329i
\(681\) −31.3820 + 28.9089i −1.20256 + 1.10779i
\(682\) 10.0516 1.44520i 0.384895 0.0553395i
\(683\) −8.96738 + 7.77028i −0.343127 + 0.297322i −0.809327 0.587358i \(-0.800168\pi\)
0.466200 + 0.884679i \(0.345623\pi\)
\(684\) 1.31362 + 1.00526i 0.0502275 + 0.0384369i
\(685\) −21.9316 + 6.43971i −0.837965 + 0.246049i
\(686\) −8.28363 + 18.1386i −0.316270 + 0.692535i
\(687\) 6.09452 7.48137i 0.232520 0.285432i
\(688\) 5.59719 + 8.70940i 0.213391 + 0.332043i
\(689\) 13.6676 0.520693
\(690\) −11.8493 10.1359i −0.451097 0.385868i
\(691\) 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
\(693\) −4.43195 12.2783i −0.168356 0.466414i
\(694\) −9.22595 + 20.2020i −0.350212 + 0.766858i
\(695\) 32.4269 9.52139i 1.23002 0.361167i
\(696\) 3.62564 + 0.409238i 0.137430 + 0.0155121i
\(697\) −5.86160 + 5.07911i −0.222024 + 0.192385i
\(698\) −13.4116 + 1.92830i −0.507638 + 0.0729873i
\(699\) 19.4689 + 21.1345i 0.736382 + 0.799380i
\(700\) −2.20061 1.90684i −0.0831753 0.0720718i
\(701\) 1.79941 + 1.15641i 0.0679628 + 0.0436770i 0.574181 0.818728i \(-0.305321\pi\)
−0.506218 + 0.862405i \(0.668957\pi\)
\(702\) −13.6782 + 19.0469i −0.516250 + 0.718879i
\(703\) −3.64505 + 4.20661i −0.137476 + 0.158655i
\(704\) −2.11653 0.621471i −0.0797699 0.0234226i
\(705\) 13.6529 32.4733i 0.514197 1.22302i
\(706\) −23.6095 27.2468i −0.888555 1.02545i
\(707\) −14.7908 32.3873i −0.556264 1.21805i
\(708\) −10.8152 2.82153i −0.406460 0.106039i
\(709\) 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
\(711\) −20.6045 + 36.8019i −0.772729 + 1.38018i
\(712\) 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
\(717\) 11.0983 7.61884i 0.414472 0.284531i
\(718\) 3.04593 + 10.3735i 0.113673 + 0.387135i
\(719\) −15.1259 + 6.90778i −0.564102 + 0.257617i −0.676991 0.735991i \(-0.736717\pi\)
0.112890 + 0.993608i \(0.463989\pi\)
\(720\) −2.02382 + 5.25534i −0.0754234 + 0.195855i
\(721\) 2.52286 + 17.5469i 0.0939561 + 0.653479i
\(722\) 5.26727 17.9387i 0.196027 0.667608i
\(723\) −15.6601 + 5.12019i −0.582405 + 0.190422i
\(724\) −0.270095 + 0.420277i −0.0100380 + 0.0156195i
\(725\) 1.68120 2.61600i 0.0624383 0.0971558i
\(726\) 10.0984 3.30176i 0.374788 0.122540i
\(727\) −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
\(729\) −15.4854 22.1179i −0.573533 0.819183i
\(730\) 8.47613 3.87092i 0.313716 0.143269i
\(731\) 2.11807 + 7.21347i 0.0783395 + 0.266800i
\(732\) 21.4795 14.7454i 0.793905 0.545007i
\(733\) −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
\(738\) 27.9582 + 15.6531i 1.02916 + 0.576200i
\(739\) −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
\(741\) −4.17024 1.08796i −0.153198 0.0399670i
\(742\) 2.48171 + 5.43418i 0.0911063 + 0.199495i
\(743\) −18.5414 21.3980i −0.680219 0.785015i 0.305720 0.952122i \(-0.401103\pi\)
−0.985939 + 0.167107i \(0.946558\pi\)
\(744\) 3.09035 7.35037i 0.113298 0.269478i
\(745\) 0.884560 + 0.259730i 0.0324078 + 0.00951578i
\(746\) −18.8193 + 21.7187i −0.689024 + 0.795177i
\(747\) 2.70854 32.9588i 0.0991005 1.20590i
\(748\) −1.34757 0.866032i −0.0492721 0.0316653i
\(749\) 9.56403 + 8.28728i 0.349462 + 0.302810i
\(750\) 14.2664 + 15.4869i 0.520937 + 0.565503i
\(751\) 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
\(753\) −34.9008 3.93936i −1.27185 0.143558i
\(754\) −9.12150 + 2.67831i −0.332185 + 0.0975384i
\(755\) −10.7769 + 23.5981i −0.392211 + 0.858823i
\(756\) −10.0566 1.97994i −0.365756 0.0720097i
\(757\) −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
\(759\) −15.4776 9.80791i −0.561800 0.356004i
\(760\) −1.03503 −0.0375446
\(761\) 4.00966 + 6.23915i 0.145350 + 0.226169i 0.906293 0.422649i \(-0.138900\pi\)
−0.760943 + 0.648818i \(0.775263\pi\)
\(762\) 7.50540 9.21331i 0.271892 0.333763i
\(763\) 12.2187 26.7551i 0.442345 0.968601i
\(764\) 10.3199 3.03019i 0.373360 0.109628i
\(765\) −2.48529 + 3.24766i −0.0898560 + 0.117419i
\(766\) −9.71399 + 8.41722i −0.350981 + 0.304127i
\(767\) 28.8257 4.14451i 1.04084 0.149650i
\(768\) −1.27391 + 1.17352i −0.0459684 + 0.0423457i
\(769\) 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
\(771\) 16.6294 + 33.6657i 0.598893 + 1.21244i
\(772\) −5.72508 + 6.60709i −0.206050