Properties

Label 108.3.j.a.7.16
Level 108
Weight 3
Character 108.7
Analytic conductor 2.943
Analytic rank 0
Dimension 204
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 108 = 2^{2} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 108.j (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.94278685509\)
Analytic rank: \(0\)
Dimension: \(204\)
Relative dimension: \(34\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 7.16
Character \(\chi\) \(=\) 108.7
Dual form 108.3.j.a.31.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.443343 + 1.95024i) q^{2} +(-2.60238 + 1.49253i) q^{3} +(-3.60689 - 1.72925i) q^{4} +(-0.890579 - 5.05073i) q^{5} +(-1.75705 - 5.73697i) q^{6} +(-0.0265129 + 0.0315969i) q^{7} +(4.97155 - 6.26767i) q^{8} +(4.54473 - 7.76823i) q^{9} +O(q^{10})\) \(q+(-0.443343 + 1.95024i) q^{2} +(-2.60238 + 1.49253i) q^{3} +(-3.60689 - 1.72925i) q^{4} +(-0.890579 - 5.05073i) q^{5} +(-1.75705 - 5.73697i) q^{6} +(-0.0265129 + 0.0315969i) q^{7} +(4.97155 - 6.26767i) q^{8} +(4.54473 - 7.76823i) q^{9} +(10.2450 + 0.502357i) q^{10} +(-4.18050 - 0.737135i) q^{11} +(11.9675 - 0.883222i) q^{12} +(-1.91152 - 0.695736i) q^{13} +(-0.0498672 - 0.0657149i) q^{14} +(9.85597 + 11.8147i) q^{15} +(10.0194 + 12.4745i) q^{16} +(-15.1353 - 26.2152i) q^{17} +(13.1351 + 12.3073i) q^{18} +(5.91027 + 3.41230i) q^{19} +(-5.52176 + 19.7575i) q^{20} +(0.0218374 - 0.121798i) q^{21} +(3.29099 - 7.82619i) q^{22} +(-25.3540 - 30.2157i) q^{23} +(-3.58319 + 23.7310i) q^{24} +(-1.22440 + 0.445645i) q^{25} +(2.20431 - 3.41948i) q^{26} +(-0.232786 + 26.9990i) q^{27} +(0.150268 - 0.0681190i) q^{28} +(-20.7044 + 7.53578i) q^{29} +(-27.4111 + 13.9836i) q^{30} +(-25.1859 - 30.0153i) q^{31} +(-28.7702 + 14.0097i) q^{32} +(11.9794 - 4.32121i) q^{33} +(57.8360 - 17.8953i) q^{34} +(0.183199 + 0.105770i) q^{35} +(-29.8256 + 20.1602i) q^{36} +(15.9508 + 27.6276i) q^{37} +(-9.27508 + 10.0136i) q^{38} +(6.01290 - 1.04243i) q^{39} +(-36.0838 - 19.5281i) q^{40} +(53.8833 + 19.6119i) q^{41} +(0.227855 + 0.0965866i) q^{42} +(-40.8395 - 7.20111i) q^{43} +(13.8039 + 9.88791i) q^{44} +(-43.2827 - 16.0359i) q^{45} +(70.1685 - 36.0505i) q^{46} +(-9.40005 + 11.2025i) q^{47} +(-44.6926 - 17.5091i) q^{48} +(8.50847 + 48.2539i) q^{49} +(-0.326287 - 2.58545i) q^{50} +(78.5146 + 45.6318i) q^{51} +(5.69155 + 5.81495i) q^{52} -43.0946 q^{53} +(-52.5514 - 12.4238i) q^{54} +21.7710i q^{55} +(0.0662283 + 0.323260i) q^{56} +(-20.4737 - 0.0588402i) q^{57} +(-5.51746 - 43.7195i) q^{58} +(40.5818 - 7.15567i) q^{59} +(-15.1189 - 59.6578i) q^{60} +(14.2464 + 11.9542i) q^{61} +(69.7032 - 35.8115i) q^{62} +(0.124958 + 0.349558i) q^{63} +(-14.5673 - 62.3201i) q^{64} +(-1.81161 + 10.2742i) q^{65} +(3.11641 + 25.2786i) q^{66} +(-16.7275 + 45.9585i) q^{67} +(9.25890 + 120.728i) q^{68} +(111.078 + 40.7912i) q^{69} +(-0.287497 + 0.310390i) q^{70} +(111.053 - 64.1166i) q^{71} +(-26.0944 - 67.1050i) q^{72} +(63.7153 - 110.358i) q^{73} +(-60.9523 + 18.8595i) q^{74} +(2.52121 - 2.98718i) q^{75} +(-15.4170 - 22.5281i) q^{76} +(0.134128 - 0.112547i) q^{77} +(-0.632789 + 12.1888i) q^{78} +(-1.11267 - 3.05705i) q^{79} +(54.0821 - 61.7146i) q^{80} +(-39.6909 - 70.6090i) q^{81} +(-62.1368 + 96.3907i) q^{82} +(-40.0201 - 109.954i) q^{83} +(-0.289385 + 0.401551i) q^{84} +(-118.926 + 99.7911i) q^{85} +(32.1498 - 76.4544i) q^{86} +(42.6332 - 50.5128i) q^{87} +(-25.4037 + 22.5373i) q^{88} +(-26.9272 + 46.6393i) q^{89} +(50.4630 - 77.3023i) q^{90} +(0.0726630 - 0.0419520i) q^{91} +(39.1986 + 152.828i) q^{92} +(110.342 + 40.5206i) q^{93} +(-17.6802 - 23.2989i) q^{94} +(11.9710 - 32.8901i) q^{95} +(53.9611 - 79.3990i) q^{96} +(-5.60171 + 31.7689i) q^{97} +(-97.8790 - 4.79945i) q^{98} +(-24.7255 + 29.1250i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 204q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 3q^{8} - 12q^{9} + O(q^{10}) \) \( 204q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 3q^{8} - 12q^{9} - 3q^{10} + 39q^{12} - 12q^{13} + 39q^{14} - 6q^{16} - 6q^{17} - 27q^{18} - 69q^{20} - 12q^{21} - 6q^{22} - 138q^{24} - 12q^{25} - 174q^{26} - 12q^{28} + 60q^{29} - 153q^{30} - 96q^{32} + 48q^{33} + 6q^{34} + 24q^{36} - 6q^{37} + 72q^{38} + 69q^{40} - 192q^{41} - 126q^{42} - 219q^{44} - 132q^{45} - 3q^{46} - 219q^{48} - 12q^{49} - 165q^{50} + 21q^{52} - 24q^{53} + 78q^{54} + 99q^{56} - 150q^{57} - 141q^{58} + 210q^{60} - 12q^{61} + 294q^{62} - 3q^{64} - 156q^{65} + 393q^{66} + 375q^{68} - 60q^{69} - 165q^{70} + 228q^{72} - 6q^{73} + 447q^{74} - 54q^{76} + 132q^{77} + 750q^{78} + 798q^{80} + 228q^{81} - 12q^{82} + 762q^{84} + 138q^{85} + 606q^{86} - 198q^{88} - 114q^{89} + 894q^{90} + 723q^{92} - 1020q^{93} - 357q^{94} + 474q^{96} + 168q^{97} + 510q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(55\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.443343 + 1.95024i −0.221671 + 0.975121i
\(3\) −2.60238 + 1.49253i −0.867459 + 0.497509i
\(4\) −3.60689 1.72925i −0.901724 0.432313i
\(5\) −0.890579 5.05073i −0.178116 1.01015i −0.934486 0.356001i \(-0.884140\pi\)
0.756370 0.654144i \(-0.226971\pi\)
\(6\) −1.75705 5.73697i −0.292841 0.956161i
\(7\) −0.0265129 + 0.0315969i −0.00378756 + 0.00451384i −0.767935 0.640528i \(-0.778716\pi\)
0.764147 + 0.645042i \(0.223160\pi\)
\(8\) 4.97155 6.26767i 0.621444 0.783459i
\(9\) 4.54473 7.76823i 0.504970 0.863137i
\(10\) 10.2450 + 0.502357i 1.02450 + 0.0502357i
\(11\) −4.18050 0.737135i −0.380045 0.0670123i −0.0196378 0.999807i \(-0.506251\pi\)
−0.360408 + 0.932795i \(0.617362\pi\)
\(12\) 11.9675 0.883222i 0.997288 0.0736018i
\(13\) −1.91152 0.695736i −0.147040 0.0535182i 0.267452 0.963571i \(-0.413818\pi\)
−0.414492 + 0.910053i \(0.636041\pi\)
\(14\) −0.0498672 0.0657149i −0.00356195 0.00469392i
\(15\) 9.85597 + 11.8147i 0.657065 + 0.787645i
\(16\) 10.0194 + 12.4745i 0.626211 + 0.779654i
\(17\) −15.1353 26.2152i −0.890313 1.54207i −0.839500 0.543359i \(-0.817152\pi\)
−0.0508130 0.998708i \(-0.516181\pi\)
\(18\) 13.1351 + 12.3073i 0.729726 + 0.683739i
\(19\) 5.91027 + 3.41230i 0.311067 + 0.179595i 0.647404 0.762147i \(-0.275855\pi\)
−0.336337 + 0.941742i \(0.609188\pi\)
\(20\) −5.52176 + 19.7575i −0.276088 + 0.987874i
\(21\) 0.0218374 0.121798i 0.00103988 0.00579991i
\(22\) 3.29099 7.82619i 0.149590 0.355736i
\(23\) −25.3540 30.2157i −1.10235 1.31373i −0.945324 0.326133i \(-0.894254\pi\)
−0.157024 0.987595i \(1.44981\pi\)
\(24\) −3.58319 + 23.7310i −0.149299 + 0.988792i
\(25\) −1.22440 + 0.445645i −0.0489760 + 0.0178258i
\(26\) 2.20431 3.41948i 0.0847813 0.131518i
\(27\) −0.232786 + 26.9990i −0.00862169 + 0.999963i
\(28\) 0.150268 0.0681190i 0.00536672 0.00243282i
\(29\) −20.7044 + 7.53578i −0.713944 + 0.259854i −0.673353 0.739321i \(-0.735146\pi\)
−0.0405915 + 0.999176i \(0.512924\pi\)
\(30\) −27.4111 + 13.9836i −0.913702 + 0.466119i
\(31\) −25.1859 30.0153i −0.812447 0.968237i 0.187454 0.982273i \(-0.439976\pi\)
−0.999901 + 0.0140364i \(0.995532\pi\)
\(32\) −28.7702 + 14.0097i −0.899070 + 0.437805i
\(33\) 11.9794 4.32121i 0.363013 0.130946i
\(34\) 57.8360 17.8953i 1.70106 0.526331i
\(35\) 0.183199 + 0.105770i 0.00523426 + 0.00302200i
\(36\) −29.8256 + 20.1602i −0.828488 + 0.560006i
\(37\) 15.9508 + 27.6276i 0.431103 + 0.746693i 0.996969 0.0778047i \(-0.0247911\pi\)
−0.565865 + 0.824498i \(0.691458\pi\)
\(38\) −9.27508 + 10.0136i −0.244081 + 0.263517i
\(39\) 6.01290 1.04243i 0.154177 0.0267289i
\(40\) −36.0838 19.5281i −0.902096 0.488203i
\(41\) 53.8833 + 19.6119i 1.31423 + 0.478340i 0.901604 0.432562i \(-0.142390\pi\)
0.412623 + 0.910902i \(0.364613\pi\)
\(42\) 0.227855 + 0.0965866i 0.00542511 + 0.00229968i
\(43\) −40.8395 7.20111i −0.949756 0.167468i −0.322752 0.946484i \(-0.604608\pi\)
−0.627004 + 0.779016i \(0.715719\pi\)
\(44\) 13.8039 + 9.88791i 0.313726 + 0.224725i
\(45\) −43.2827 16.0359i −0.961837 0.356354i
\(46\) 70.1685 36.0505i 1.52540 0.783708i
\(47\) −9.40005 + 11.2025i −0.200001 + 0.238352i −0.856718 0.515785i \(-0.827500\pi\)
0.656717 + 0.754137i \(0.271945\pi\)
\(48\) −44.6926 17.5091i −0.931097 0.364772i
\(49\) 8.50847 + 48.2539i 0.173642 + 0.984774i
\(50\) −0.326287 2.58545i −0.00652574 0.0517090i
\(51\) 78.5146 + 45.6318i 1.53950 + 0.894741i
\(52\) 5.69155 + 5.81495i 0.109453 + 0.111826i
\(53\) −43.0946 −0.813105 −0.406553 0.913627i \(-0.633269\pi\)
−0.406553 + 0.913627i \(0.633269\pi\)
\(54\) −52.5514 12.4238i −0.973174 0.230070i
\(55\) 21.7710i 0.395837i
\(56\) 0.0662283 + 0.323260i 0.00118265 + 0.00577249i
\(57\) −20.4737 0.0588402i −0.359188 0.00103228i
\(58\) −5.51746 43.7195i −0.0951286 0.753785i
\(59\) 40.5818 7.15567i 0.687828 0.121283i 0.181199 0.983447i \(-0.442002\pi\)
0.506629 + 0.862164i \(0.330891\pi\)
\(60\) −15.1189 59.6578i −0.251981 0.994296i
\(61\) 14.2464 + 11.9542i 0.233548 + 0.195970i 0.752050 0.659107i \(-0.229065\pi\)
−0.518501 + 0.855077i \(0.673510\pi\)
\(62\) 69.7032 35.8115i 1.12424 0.577604i
\(63\) 0.124958 + 0.349558i 0.00198346 + 0.00554853i
\(64\) −14.5673 62.3201i −0.227614 0.973751i
\(65\) −1.81161 + 10.2742i −0.0278710 + 0.158064i
\(66\) 3.11641 + 25.2786i 0.0472183 + 0.383009i
\(67\) −16.7275 + 45.9585i −0.249664 + 0.685948i 0.750034 + 0.661399i \(0.230037\pi\)
−0.999699 + 0.0245484i \(0.992185\pi\)
\(68\) 9.25890 + 120.728i 0.136160 + 1.77541i
\(69\) 111.078 + 40.7912i 1.60983 + 0.591176i
\(70\) −0.287497 + 0.310390i −0.00410710 + 0.00443414i
\(71\) 111.053 64.1166i 1.56413 0.903051i 0.567298 0.823512i \(-0.307989\pi\)
0.996832 0.0795386i \(-0.0253447\pi\)
\(72\) −26.0944 67.1050i −0.362422 0.932014i
\(73\) 63.7153 110.358i 0.872813 1.51176i 0.0137383 0.999906i \(-0.495627\pi\)
0.859075 0.511851i \(-0.171040\pi\)
\(74\) −60.9523 + 18.8595i −0.823680 + 0.254858i
\(75\) 2.52121 2.98718i 0.0336161 0.0398291i
\(76\) −15.4170 22.5281i −0.202855 0.296423i
\(77\) 0.134128 0.112547i 0.00174193 0.00146165i
\(78\) −0.632789 + 12.1888i −0.00811268 + 0.156266i
\(79\) −1.11267 3.05705i −0.0140845 0.0386968i 0.932451 0.361296i \(-0.117666\pi\)
−0.946536 + 0.322599i \(0.895443\pi\)
\(80\) 54.0821 61.7146i 0.676026 0.771433i
\(81\) −39.6909 70.6090i −0.490012 0.871716i
\(82\) −62.1368 + 96.3907i −0.757766 + 1.17550i
\(83\) −40.0201 109.954i −0.482169 1.32475i −0.907629 0.419772i \(-0.862110\pi\)
0.425460 0.904977i \(1.63989\pi\)
\(84\) −0.289385 + 0.401551i −0.00344506 + 0.00478037i
\(85\) −118.926 + 99.7911i −1.39913 + 1.17401i
\(86\) 32.1498 76.4544i 0.373835 0.889004i
\(87\) 42.6332 50.5128i 0.490037 0.580607i
\(88\) −25.4037 + 22.5373i −0.288678 + 0.256105i
\(89\) −26.9272 + 46.6393i −0.302553 + 0.524037i −0.976714 0.214548i \(-0.931172\pi\)
0.674160 + 0.738585i \(0.264506\pi\)
\(90\) 50.4630 77.3023i 0.560700 0.858915i
\(91\) 0.0726630 0.0419520i 0.000798495 0.000461011i
\(92\) 39.1986 + 152.828i 0.426072 + 1.66118i
\(93\) 110.342 + 40.5206i 1.18647 + 0.435706i
\(94\) −17.6802 23.2989i −0.188088 0.247861i
\(95\) 11.9710 32.8901i 0.126011 0.346211i
\(96\) 53.9611 79.3990i 0.562095 0.827073i
\(97\) −5.60171 + 31.7689i −0.0577496 + 0.327514i −0.999972 0.00747351i \(-0.997621\pi\)
0.942222 + 0.334988i \(0.108732\pi\)
\(98\) −97.8790 4.79945i −0.998765 0.0489740i
\(99\) −24.7255 + 29.1250i −0.249752 + 0.294192i
\(100\) 5.18691 + 0.509901i 0.0518691 + 0.00509901i
\(101\) −105.877 88.8411i −1.04828 0.879615i −0.0553723 0.998466i \(-0.517635\pi\)
−0.992912 + 0.118851i \(0.962079\pi\)
\(102\) −123.802 + 132.892i −1.21375 + 1.30286i
\(103\) 70.1342 12.3665i 0.680914 0.120064i 0.177516 0.984118i \(-0.443194\pi\)
0.503398 + 0.864054i \(0.332083\pi\)
\(104\) −13.8639 + 8.52188i −0.133306 + 0.0819412i
\(105\) −0.634617 0.00182385i −0.00604397 1.73700e-5i
\(106\) 19.1057 84.0449i 0.180242 0.792876i
\(107\) 106.755i 0.997712i 0.866685 + 0.498856i \(0.166246\pi\)
−0.866685 + 0.498856i \(0.833754\pi\)
\(108\) 47.5277 96.9800i 0.440071 0.897963i
\(109\) 53.1106 0.487253 0.243627 0.969869i \(-0.421663\pi\)
0.243627 + 0.969869i \(0.421663\pi\)
\(110\) −42.4588 9.65203i −0.385989 0.0877458i
\(111\) −82.7451 48.0905i −0.745451 0.433248i
\(112\) −0.659797 0.0141536i −0.00589104 0.000126371i
\(113\) 22.6559 + 128.488i 0.200494 + 1.13706i 0.904374 + 0.426740i \(0.140338\pi\)
−0.703880 + 0.710319i \(0.748551\pi\)
\(114\) 9.19162 39.9026i 0.0806282 0.350023i
\(115\) −130.032 + 154.966i −1.13071 + 1.34753i
\(116\) 87.7098 + 8.62234i 0.756119 + 0.0743305i
\(117\) −14.0920 + 11.6872i −0.120444 + 0.0998906i
\(118\) −4.03637 + 82.3169i −0.0342065 + 0.697601i
\(119\) 1.22960 + 0.216811i 0.0103328 + 0.00182194i
\(120\) 123.050 3.03665i 1.02542 0.0253054i
\(121\) −96.7696 35.2213i −0.799749 0.291085i
\(122\) −29.6296 + 22.4842i −0.242866 + 0.184297i
\(123\) −169.496 + 29.3847i −1.37802 + 0.238900i
\(124\) 38.9386 + 151.815i 0.314021 + 1.22431i
\(125\) −60.7668 105.251i −0.486134 0.842009i
\(126\) −0.737121 + 0.0887244i −0.00585017 + 0.000704162i
\(127\) −90.4208 52.2045i −0.711975 0.411059i 0.0998168 0.995006i \(-0.468174\pi\)
−0.811792 + 0.583947i \(0.801508\pi\)
\(128\) 127.998 0.780665i 0.999981 0.00609894i
\(129\) 117.028 42.2141i 0.907191 0.327241i
\(130\) −19.2340 8.08807i −0.147954 0.0622159i
\(131\) 87.8938 + 104.748i 0.670945 + 0.799601i 0.988912 0.148501i \(-0.0474448\pi\)
−0.317968 + 0.948102i \(0.603000\pi\)
\(132\) −50.6810 5.12932i −0.383947 0.0388585i
\(133\) −0.264516 + 0.0962761i −0.00198884 + 0.000723880i
\(134\) −82.2142 52.9981i −0.613539 0.395508i
\(135\) 136.572 22.8690i 1.01164 0.169400i
\(136\) −239.554 35.4668i −1.76143 0.260785i
\(137\) 100.206 36.4722i 0.731434 0.266220i 0.0506624 0.998716i \(-0.483867\pi\)
0.680772 + 0.732496i \(0.261645\pi\)
\(138\) −128.799 + 198.546i −0.933323 + 1.43874i
\(139\) 55.0613 + 65.6195i 0.396124 + 0.472083i 0.926834 0.375471i \(-0.122519\pi\)
−0.530710 + 0.847554i \(0.678075\pi\)
\(140\) −0.477876 0.698298i −0.00341340 0.00498785i
\(141\) 7.74237 43.1831i 0.0549104 0.306263i
\(142\) 75.8083 + 245.006i 0.533861 + 1.72540i
\(143\) 7.47826 + 4.31757i 0.0522955 + 0.0301928i
\(144\) 142.440 21.1398i 0.989166 0.146804i
\(145\) 56.5001 + 97.8610i 0.389656 + 0.674903i
\(146\) 186.978 + 173.187i 1.28067 + 1.18621i
\(147\) −94.1625 112.876i −0.640561 0.767862i
\(148\) −9.75778 127.233i −0.0659310 0.859682i
\(149\) 147.356 + 53.6331i 0.988965 + 0.359954i 0.785319 0.619091i \(-0.212499\pi\)
0.203646 + 0.979045i \(0.434721\pi\)
\(150\) 4.70797 + 6.24132i 0.0313865 + 0.0416088i
\(151\) −24.6643 4.34897i −0.163339 0.0288011i 0.0913803 0.995816i \(-0.470872\pi\)
−0.254720 + 0.967015i \(0.581983\pi\)
\(152\) 50.7704 20.0792i 0.334015 0.132100i
\(153\) −272.431 1.56592i −1.78060 0.0102347i
\(154\) 0.160029 + 0.311480i 0.00103915 + 0.00202260i
\(155\) −129.169 + 153.938i −0.833350 + 0.993148i
\(156\) −23.4905 6.63790i −0.150580 0.0425506i
\(157\) −19.7195 111.835i −0.125602 0.712324i −0.980949 0.194268i \(-0.937767\pi\)
0.855347 0.518056i \(-0.173344\pi\)
\(158\) 6.45528 0.814665i 0.0408562 0.00515611i
\(159\) 112.148 64.3198i 0.705335 0.404527i
\(160\) 96.3816 + 132.834i 0.602385 + 0.830212i
\(161\) 1.62693 0.0101052
\(162\) 155.301 46.1030i 0.958650 0.284586i
\(163\) 228.549i 1.40214i −0.713091 0.701072i \(-0.752705\pi\)
0.713091 0.701072i \(-0.247295\pi\)
\(164\) −160.437 163.916i −0.978277 0.999488i
\(165\) −32.4939 56.6564i −0.196933 0.343372i
\(166\) 232.180 29.3014i 1.39867 0.176515i
\(167\) 15.9992 2.82109i 0.0958035 0.0168927i −0.125541 0.992088i \(-0.540067\pi\)
0.221344 + 0.975196i \(0.428956\pi\)
\(168\) −0.654825 0.742396i −0.00389777 0.00441902i
\(169\) −126.292 105.971i −0.747288 0.627049i
\(170\) −141.892 276.177i −0.834657 1.62457i
\(171\) 53.3681 30.4044i 0.312094 0.177804i
\(172\) 134.851 + 96.5954i 0.784019 + 0.561601i
\(173\) 16.7323 94.8933i 0.0967182 0.548516i −0.897489 0.441037i \(-0.854611\pi\)
0.994207 0.107480i \(-0.0342781\pi\)
\(174\) 79.6110 + 105.540i 0.457535 + 0.606550i
\(175\) 0.0183814 0.0505025i 0.000105037 0.000288586i
\(176\) −32.6906 59.5351i −0.185742 0.338268i
\(177\) −94.9292 + 79.1913i −0.536323 + 0.447408i
\(178\) −79.0200 73.1918i −0.443933 0.411190i
\(179\) −198.630 + 114.679i −1.10967 + 0.640666i −0.938743 0.344619i \(-0.888008\pi\)
−0.170923 + 0.985284i \(0.554675\pi\)
\(180\) 128.386 + 132.687i 0.713255 + 0.737148i
\(181\) 154.487 267.580i 0.853522 1.47834i −0.0244878 0.999700i \(-0.507795\pi\)
0.878010 0.478643i \(-0.158871\pi\)
\(182\) 0.0496020 + 0.160310i 0.000272538 + 0.000880823i
\(183\) −54.9165 9.84609i −0.300090 0.0538037i
\(184\) −315.431 + 8.69141i −1.71430 + 0.0472359i
\(185\) 125.334 105.168i 0.677482 0.568475i
\(186\) −127.944 + 197.229i −0.687873 + 1.06037i
\(187\) 43.9491 + 120.749i 0.235022 + 0.645718i
\(188\) 53.2770 24.1513i 0.283388 0.128465i
\(189\) −0.846912 0.723177i −0.00448101 0.00382633i
\(190\) 58.8364 + 37.9280i 0.309665 + 0.199621i
\(191\) −76.7399 210.841i −0.401779 1.10388i −0.961406 0.275135i \(-0.911278\pi\)
0.559626 0.828745i \(1.68906\pi\)
\(192\) 130.924 + 140.438i 0.681896 + 0.731449i
\(193\) −130.384 + 109.405i −0.675564 + 0.566865i −0.914706 0.404119i \(-0.867578\pi\)
0.239142 + 0.970984i \(0.423134\pi\)
\(194\) −59.4736 25.0092i −0.306565 0.128913i
\(195\) −10.6200 29.4412i −0.0544615 0.150980i
\(196\) 52.7540 188.760i 0.269153 0.963061i
\(197\) −100.143 + 173.453i −0.508341 + 0.880473i 0.491612 + 0.870814i \(0.336408\pi\)
−0.999953 + 0.00965858i \(0.996926\pi\)
\(198\) −45.8390 61.1330i −0.231510 0.308753i
\(199\) 230.445 133.047i 1.15801 0.668579i 0.207186 0.978301i \(-0.433569\pi\)
0.950827 + 0.309722i \(0.100236\pi\)
\(200\) −3.29401 + 9.88967i −0.0164701 + 0.0494484i
\(201\) −25.0630 144.568i −0.124691 0.719242i
\(202\) 220.201 167.098i 1.09011 0.827219i
\(203\) 0.310826 0.853989i 0.00153117 0.00420684i
\(204\) −204.285 300.361i −1.00140 1.47236i
\(205\) 51.0671 289.616i 0.249108 1.41276i
\(206\) −6.97571 + 142.261i −0.0338627 + 0.690589i
\(207\) −349.950 + 59.6337i −1.69058 + 0.288085i
\(208\) −10.4733 30.8160i −0.0503524 0.148154i
\(209\) −22.1926 18.6218i −0.106184 0.0890994i
\(210\) 0.284910 1.23685i 0.00135671 0.00588976i
\(211\) 393.246 69.3398i 1.86372 0.328625i 0.875691 0.482872i \(-0.160406\pi\)
0.988032 + 0.154247i \(0.0492953\pi\)
\(212\) 155.438 + 74.5214i 0.733196 + 0.351516i
\(213\) −193.307 + 332.606i −0.907542 + 1.56153i
\(214\) −208.199 47.3292i −0.972891 0.221164i
\(215\) 212.682i 0.989220i
\(216\) 168.063 + 135.686i 0.778072 + 0.628176i
\(217\) 1.61614 0.00744765
\(218\) −23.5462 + 103.579i −0.108010 + 0.475131i
\(219\) −1.09868 + 382.290i −0.00501680 + 1.74562i
\(220\) 37.6476 78.5258i 0.171126 0.356936i
\(221\) 10.6926 + 60.6410i 0.0483830 + 0.274394i
\(222\) 130.473 140.052i 0.587714 0.630867i
\(223\) 178.190 212.358i 0.799056 0.952278i −0.200568 0.979680i \(-0.564279\pi\)
0.999625 + 0.0274016i \(0.00872331\pi\)
\(224\) 0.320119 1.28049i 0.00142910 0.00571647i
\(225\) −2.10268 + 11.5368i −0.00934526 + 0.0512745i
\(226\) −260.627 12.7797i −1.15321 0.0565473i
\(227\) 157.783 + 27.8214i 0.695079 + 0.122561i 0.510015 0.860165i \(-0.329640\pi\)
0.185064 + 0.982727i \(0.440751\pi\)
\(228\) 73.7447 + 35.6164i 0.323442 + 0.156212i
\(229\) 391.957 + 142.661i 1.71160 + 0.622972i 0.997060 0.0766226i \(-0.0244136\pi\)
0.714540 + 0.699594i \(0.246636\pi\)
\(230\) −244.572 322.296i −1.06336 1.40129i
\(231\) −0.181073 + 0.493080i −0.000783866 + 0.00213455i
\(232\) −55.7012 + 167.233i −0.240091 + 0.720831i
\(233\) 113.470 + 196.537i 0.486998 + 0.843505i 0.999888 0.0149492i \(-0.00475865\pi\)
−0.512890 + 0.858454i \(0.671425\pi\)
\(234\) −16.5453 32.6642i −0.0707065 0.139591i
\(235\) 64.9525 + 37.5003i 0.276394 + 0.159576i
\(236\) −158.748 44.3665i −0.672663 0.187994i
\(237\) 7.45832 + 6.29489i 0.0314697 + 0.0265607i
\(238\) −0.967968 + 2.30189i −0.00406709 + 0.00967182i
\(239\) −100.927 120.281i −0.422290 0.503266i 0.512391 0.858752i \(-0.328760\pi\)
−0.934682 + 0.355486i \(0.884315\pi\)
\(240\) −48.6311 + 241.324i −0.202630 + 1.00551i
\(241\) −113.715 + 41.3887i −0.471845 + 0.171737i −0.566988 0.823726i \(-0.691891\pi\)
0.0951430 + 0.995464i \(0.469669\pi\)
\(242\) 111.592 173.109i 0.461124 0.715327i
\(243\) 208.677 + 124.511i 0.858751 + 0.512392i
\(244\) −30.7136 67.7532i −0.125875 0.277677i
\(245\) 236.140 85.9479i 0.963836 0.350808i
\(246\) 17.8375 343.586i 0.0725102 1.39669i
\(247\) −8.92354 10.6347i −0.0361277 0.0430553i
\(248\) −313.339 + 8.63377i −1.26346 + 0.0348136i
\(249\) 268.257 + 226.411i 1.07734 + 0.909282i
\(250\) 232.206 71.8476i 0.928823 0.287391i
\(251\) −3.42052 1.97484i −0.0136276 0.00786788i 0.493171 0.869933i \(-0.335838\pi\)
−0.506798 + 0.862065i \(0.669171\pi\)
\(252\) 0.153763 1.47690i 0.000610172 0.00586072i
\(253\) 83.7194 + 145.006i 0.330907 + 0.573147i
\(254\) 141.899 153.198i 0.558657 0.603142i
\(255\) 160.550 437.195i 0.629609 1.71449i
\(256\) −55.2243 + 249.973i −0.215720 + 0.976455i
\(257\) 70.1778 + 25.5426i 0.273065 + 0.0993876i 0.474923 0.880027i \(-0.342476\pi\)
−0.201858 + 0.979415i \(0.564698\pi\)
\(258\) 30.4443 + 246.948i 0.118001 + 0.957161i
\(259\) −1.29585 0.228493i −0.00500328 0.000882213i
\(260\) 24.3009 33.9251i 0.0934652 0.130481i
\(261\) −35.5560 + 195.085i −0.136230 + 0.747450i
\(262\) −243.251 + 124.975i −0.928437 + 0.477004i
\(263\) −258.741 + 308.356i −0.983807 + 1.17246i 0.00121067 + 0.999999i \(0.499615\pi\)
−0.985017 + 0.172456i \(0.944830\pi\)
\(264\) 32.4725 96.5662i 0.123002 0.365781i
\(265\) 38.3791 + 217.659i 0.144827 + 0.821354i
\(266\) −0.0704903 0.558554i −0.000265001 0.00209983i
\(267\) 0.464321 161.563i 0.00173903 0.605104i
\(268\) 139.808 136.841i 0.521672 0.510602i
\(269\) −256.494 −0.953508 −0.476754 0.879037i \(-0.658187\pi\)
−0.476754 + 0.879037i \(0.658187\pi\)
\(270\) −15.9480 + 276.487i −0.0590668 + 1.02403i
\(271\) 98.1325i 0.362112i 0.983473 + 0.181056i \(0.0579516\pi\)
−0.983473 + 0.181056i \(0.942048\pi\)
\(272\) 175.373 451.464i 0.644755 1.65980i
\(273\) −0.126482 + 0.217627i −0.000463304 + 0.000797167i
\(274\) 26.7038 + 211.597i 0.0974591 + 0.772251i
\(275\) 5.44710 0.960471i 0.0198076 0.00349262i
\(276\) −330.110 339.212i −1.19605 1.22903i
\(277\) −240.716 201.985i −0.869011 0.729187i 0.0948788 0.995489i \(-0.469754\pi\)
−0.963890 + 0.266302i \(0.914198\pi\)
\(278\) −152.385 + 78.2910i −0.548147 + 0.281622i
\(279\) −347.629 + 59.2382i −1.24598 + 0.212323i
\(280\) 1.57371 0.622389i 0.00562041 0.00222282i
\(281\) 13.7932 78.2252i 0.0490862 0.278381i −0.950379 0.311096i \(-0.899304\pi\)
0.999465 + 0.0327143i \(0.0104151\pi\)
\(282\) 80.7849 + 34.2444i 0.286471 + 0.121434i
\(283\) −49.7122 + 136.583i −0.175661 + 0.482626i −0.996010 0.0892374i \(-0.971557\pi\)
0.820349 + 0.571863i \(0.193779\pi\)
\(284\) −511.431 + 39.2228i −1.80081 + 0.138108i
\(285\) 17.9363 + 103.459i 0.0629343 + 0.363016i
\(286\) −11.7357 + 12.6703i −0.0410341 + 0.0443016i
\(287\) −2.04828 + 1.18257i −0.00713686 + 0.00412047i
\(288\) −21.9219 + 287.164i −0.0761176 + 0.997099i
\(289\) −313.656 + 543.268i −1.08532 + 1.87982i
\(290\) −215.902 + 66.8029i −0.744488 + 0.230355i
\(291\) −32.8382 91.0353i −0.112846 0.312836i
\(292\) −420.652 + 287.870i −1.44059 + 0.985858i
\(293\) −91.9061 + 77.1184i −0.313673 + 0.263203i −0.786008 0.618216i \(-0.787856\pi\)
0.472335 + 0.881419i \(0.343411\pi\)
\(294\) 261.881 133.597i 0.890753 0.454412i
\(295\) −72.2827 198.595i −0.245026 0.673204i
\(296\) 252.461 + 37.3778i 0.852910 + 0.126276i
\(297\) 20.8751 112.698i 0.0702864 0.379454i
\(298\) −169.927 + 263.602i −0.570224 + 0.884570i
\(299\) 27.4425 + 75.3977i 0.0917810 + 0.252166i
\(300\) −14.2593 + 6.41465i −0.0475311 + 0.0213822i
\(301\) 1.31031 1.09948i 0.00435318 0.00365275i
\(302\) 19.4163 46.1732i 0.0642923 0.152891i
\(303\) 408.129 + 73.1742i 1.34696 + 0.241499i
\(304\) 16.6506 + 107.916i 0.0547719 + 0.354988i
\(305\) 47.6897 82.6010i 0.156360 0.270823i
\(306\) 123.834 530.613i 0.404688 1.73403i
\(307\) −177.597 + 102.536i −0.578491 + 0.333992i −0.760534 0.649299i \(-0.775063\pi\)
0.182042 + 0.983291i \(0.441729\pi\)
\(308\) −0.678409 + 0.174004i −0.00220263 + 0.000564947i
\(309\) −164.058 + 136.860i −0.530932 + 0.442911i
\(310\) −242.950 320.159i −0.783710 1.03277i
\(311\) 83.6144 229.729i 0.268857 0.738677i −0.729638 0.683833i \(-0.760312\pi\)
0.998495 0.0548442i \(-0.0174662\pi\)
\(312\) 23.3599 42.8693i 0.0748713 0.137402i
\(313\) 23.7303 134.581i 0.0758156 0.429971i −0.923148 0.384446i \(-0.874393\pi\)
0.998963 0.0455257i \(-0.0144963\pi\)
\(314\) 226.848 + 11.1234i 0.722445 + 0.0354247i
\(315\) 1.65424 0.942437i 0.00525154 0.00299186i
\(316\) −1.27311 + 12.9505i −0.00402882 + 0.0409827i
\(317\) −108.274 90.8524i −0.341557 0.286601i 0.455832 0.890066i \(-0.349342\pi\)
−0.797389 + 0.603465i \(0.793786\pi\)
\(318\) 75.7191 + 247.232i 0.238110 + 0.777460i
\(319\) 92.1095 16.2414i 0.288745 0.0509135i
\(320\) −301.788 + 129.077i −0.943089 + 0.403364i
\(321\) −159.335 277.817i −0.496371 0.865474i
\(322\) −0.721288 + 3.17291i −0.00224003 + 0.00985376i
\(323\) 206.585i 0.639581i
\(324\) 21.0603 + 323.315i 0.0650008 + 0.997885i
\(325\) 2.65051 0.00815543
\(326\) 445.727 + 101.326i 1.36726 + 0.310815i
\(327\) −138.214 + 79.2690i −0.422672 + 0.242413i
\(328\) 390.805 240.221i 1.19148 0.732381i
\(329\) −0.104742 0.594024i −0.000318366 0.00180554i
\(330\) 124.900 38.2527i 0.378484 0.115917i
\(331\) −97.6833 + 116.414i −0.295116 + 0.351705i −0.893145 0.449769i \(-0.851506\pi\)
0.598029 + 0.801474i \(0.295951\pi\)
\(332\) −45.7905 + 465.798i −0.137923 + 1.40301i
\(333\) 287.110 + 1.65029i 0.862193 + 0.00495582i
\(334\) −1.59132 + 32.4530i −0.00476442 + 0.0971647i
\(335\) 247.021 + 43.5565i 0.737376 + 0.130019i
\(336\) 1.73816 0.947931i 0.00517311 0.00282122i
\(337\) 119.675 + 43.5582i 0.355119 + 0.129253i 0.513418 0.858138i \(-0.328379\pi\)
−0.158299 + 0.987391i \(0.550601\pi\)
\(338\) 262.660 199.318i 0.777101 0.589698i
\(339\) −250.730 300.559i −0.739618 0.886604i
\(340\) 601.519 154.282i 1.76917 0.453771i
\(341\) 83.1641 + 144.045i 0.243883 + 0.422418i
\(342\) 35.6356 + 117.560i 0.104198 + 0.343743i
\(343\) −3.50057 2.02106i −0.0102058 0.00589229i
\(344\) −248.170 + 220.168i −0.721424 + 0.640023i
\(345\) 107.101 597.355i 0.310437 1.73146i
\(346\) 177.647 + 74.7022i 0.513430 + 0.215902i
\(347\) −19.4708 23.2044i −0.0561119 0.0668715i 0.737258 0.675611i \(-0.236120\pi\)
−0.793370 + 0.608739i \(0.791676\pi\)
\(348\) −241.123 + 108.471i −0.692882 + 0.311697i
\(349\) 162.407 59.1115i 0.465351 0.169374i −0.0986944 0.995118i \(-0.531467\pi\)
0.564045 + 0.825744i \(0.309244\pi\)
\(350\) 0.0903429 + 0.0582381i 0.000258123 + 0.000166395i
\(351\) 19.2292 51.4472i 0.0547839 0.146573i
\(352\) 130.601 37.3602i 0.371026 0.106137i
\(353\) 364.507 132.670i 1.03260 0.375835i 0.230528 0.973066i \(-0.425955\pi\)
0.802069 + 0.597231i \(0.203733\pi\)
\(354\) −112.356 220.244i −0.317390 0.622158i
\(355\) −422.737 503.799i −1.19081 1.41915i
\(356\) 177.775 121.659i 0.499367 0.341739i
\(357\) −3.52347 + 1.27098i −0.00986967 + 0.00356018i
\(358\) −135.591 438.219i −0.378746 1.22408i
\(359\) 494.326 + 285.399i 1.37695 + 0.794983i 0.991791 0.127866i \(-0.0408129\pi\)
0.385160 + 0.922850i \(0.374146\pi\)
\(360\) −315.690 + 191.558i −0.876917 + 0.532105i
\(361\) −157.212 272.300i −0.435492 0.754294i
\(362\) 453.355 + 419.918i 1.25236 + 1.15999i
\(363\) 304.400 52.7723i 0.838566 0.145378i
\(364\) −0.334634 + 0.0256638i −0.000919323 + 7.05049e-5i
\(365\) −614.133 223.526i −1.68256 0.612400i
\(366\) 43.5491 102.735i 0.118987 0.280698i
\(367\) 77.7710 + 13.7131i 0.211910 + 0.0373655i 0.278595 0.960409i \(-0.410131\pi\)
−0.0666852 + 0.997774i \(0.521242\pi\)
\(368\) 122.894 619.020i 0.333950 1.68212i
\(369\) 397.235 329.447i 1.07652 0.892811i
\(370\) 149.537 + 291.058i 0.404154 + 0.786642i
\(371\) 1.14256 1.36165i 0.00307968 0.00367022i
\(372\) −327.921 336.962i −0.881508 0.905813i
\(373\) −102.883 583.480i −0.275827 1.56429i −0.736324 0.676629i \(-0.763440\pi\)
0.460498 0.887661i \(-0.347671\pi\)
\(374\) −254.975 + 32.1782i −0.681751 + 0.0860378i
\(375\) 315.228 + 183.207i 0.840609 + 0.488552i
\(376\) 23.4810 + 114.610i 0.0624494 + 0.304815i
\(377\) 44.8198 0.118885
\(378\) 1.78584 1.33107i 0.00472445 0.00352134i
\(379\) 93.1184i 0.245695i 0.992426 + 0.122847i \(0.0392026\pi\)
−0.992426 + 0.122847i \(0.960797\pi\)
\(380\) −100.053 + 97.9301i −0.263298 + 0.257711i
\(381\) 313.226 + 0.900192i 0.822115 + 0.00236271i
\(382\) 445.213 56.1865i 1.16548 0.147085i
\(383\) −185.774 + 32.7570i −0.485051 + 0.0855275i −0.410825 0.911714i \(-0.634759\pi\)
−0.0742251 + 0.997242i \(0.523648\pi\)
\(384\) −331.933 + 193.072i −0.864408 + 0.502790i
\(385\) −0.687896 0.577214i −0.00178674 0.00149926i
\(386\) −155.562 302.784i −0.403009 0.784415i
\(387\) −241.544 + 284.524i −0.624145 + 0.735203i
\(388\) 75.1412 104.900i 0.193663 0.270361i
\(389\) −27.7003 + 157.096i −0.0712091 + 0.403847i 0.928280 + 0.371882i \(0.121288\pi\)
−0.999489 + 0.0319646i \(0.989824\pi\)
\(390\) 62.1257 7.65902i 0.159297 0.0196385i
\(391\) −408.369 + 1121.98i −1.04442 + 2.86952i
\(392\) 344.740 + 186.569i 0.879438 + 0.475940i
\(393\) −385.071 141.409i −0.979825 0.359820i
\(394\) −293.878 272.203i −0.745883 0.690870i
\(395\) −14.4494 + 8.34236i −0.0365807 + 0.0211199i
\(396\) 139.547 62.2943i 0.352391 0.157309i
\(397\) 58.9618 102.125i 0.148518 0.257241i −0.782162 0.623075i \(-0.785883\pi\)
0.930680 + 0.365834i \(0.119216\pi\)
\(398\) 157.309 + 508.409i 0.395248 + 1.27741i
\(399\) 0.544676 0.645344i 0.00136510 0.00161740i
\(400\) −17.8269 10.8086i −0.0445672 0.0270216i
\(401\) −104.236 + 87.4644i −0.259940 + 0.218116i −0.763439 0.645881i \(-0.776490\pi\)
0.503498 + 0.863996i \(0.332046\pi\)
\(402\) 293.053 + 15.2141i 0.728988 + 0.0378460i
\(403\) 27.2605 + 74.8977i 0.0676440 + 0.185850i
\(404\) 228.257 + 503.528i 0.564994 + 1.24636i
\(405\) −321.279 + 263.351i −0.793281 + 0.650249i
\(406\) 1.52768 + 0.984797i 0.00376277 + 0.00242561i
\(407\) −46.3171 127.255i −0.113801 0.312667i
\(408\) 676.345 265.243i 1.65771 0.650105i
\(409\) −98.1152 + 82.3284i −0.239890 + 0.201292i −0.754804 0.655950i \(-0.772268\pi\)
0.514914 + 0.857242i \(0.327824\pi\)
\(410\) 542.181 + 227.992i 1.32239 + 0.556079i
\(411\) −206.339 + 244.475i −0.502042 + 0.594830i
\(412\) −274.351 76.6748i −0.665901 0.186104i
\(413\) −0.849846 + 1.47198i −0.00205774 + 0.00356411i
\(414\) 38.8476 708.925i 0.0938348 1.71238i
\(415\) −519.708 + 300.053i −1.25231 + 0.723020i
\(416\) 64.7420 6.76341i 0.155630 0.0162582i
\(417\) −241.229 88.5861i −0.578487 0.212437i
\(418\) 46.1559 35.0251i 0.110421 0.0837920i
\(419\) 139.827 384.171i 0.333716 0.916876i −0.653421 0.756995i \(-0.726667\pi\)
0.987136 0.159881i \(-0.0511112\pi\)
\(420\) 2.28584 + 1.10399i 0.00544248 + 0.00262855i
\(421\) −26.5187 + 150.395i −0.0629897 + 0.357233i 0.936979 + 0.349384i \(0.113609\pi\)
−0.999969 + 0.00784813i \(0.997502\pi\)
\(422\) −39.1131 + 797.666i −0.0926852 + 1.89020i
\(423\) 44.3033 + 123.934i 0.104736 + 0.292989i
\(424\) −214.247 + 270.102i −0.505299 + 0.637034i
\(425\) 30.2143 + 25.3528i 0.0710925 + 0.0596537i
\(426\) −562.961 524.453i −1.32150 1.23111i
\(427\) −0.755429 + 0.133203i −0.00176916 + 0.000311950i
\(428\) 184.607 385.055i 0.431324 0.899661i
\(429\) −25.9053 0.0744504i −0.0603854 0.000173544i
\(430\) −414.782 94.2912i −0.964610 0.219282i
\(431\) 640.109i 1.48517i −0.669751 0.742585i \(-0.733599\pi\)
0.669751 0.742585i \(-0.266401\pi\)
\(432\) −339.130 + 267.609i −0.785024 + 0.619466i
\(433\) 343.700 0.793765 0.396883 0.917869i \(-0.370092\pi\)
0.396883 + 0.917869i \(0.370092\pi\)
\(434\) −0.716505 + 3.15187i −0.00165093 + 0.00726237i
\(435\) −293.095 170.343i −0.673781 0.391594i
\(436\) −191.564 91.8416i −0.439368 0.210646i
\(437\) −46.7440 265.099i −0.106966 0.606633i
\(438\) −745.072 171.628i −1.70108 0.391846i
\(439\) 58.0596 69.1928i 0.132254 0.157615i −0.695853 0.718184i \(-0.744973\pi\)
0.828107 + 0.560570i \(0.189418\pi\)
\(440\) 136.454 + 108.236i 0.310122 + 0.245991i
\(441\) 413.516 + 153.205i 0.937679 + 0.347404i
\(442\) −123.005 6.03150i −0.278292 0.0136459i
\(443\) 288.931 + 50.9464i 0.652215 + 0.115003i 0.489959 0.871746i \(-0.337012\pi\)
0.162256 + 0.986749i \(0.448123\pi\)
\(444\) 215.292 + 316.544i 0.484892 + 0.712938i
\(445\) 259.543 + 94.4660i 0.583243 + 0.212283i
\(446\) 335.151 + 441.660i 0.751459 + 0.990270i
\(447\) −463.524 + 80.3589i −1.03697 + 0.179774i
\(448\) 2.35534 + 1.19201i 0.00525746 + 0.00266073i
\(449\) 63.8556 + 110.601i 0.142217 + 0.246328i 0.928331 0.371754i \(-0.121243\pi\)
−0.786114 + 0.618082i \(0.787910\pi\)
\(450\) −21.5673 9.21548i −0.0479272 0.0204788i
\(451\) −210.803 121.707i −0.467411 0.269860i
\(452\) 140.470 502.619i 0.310775 1.11199i
\(453\) 70.6766 25.4944i 0.156019 0.0562790i
\(454\) −124.210 + 295.381i −0.273591 + 0.650618i
\(455\) −0.276600 0.329640i −0.000607913 0.000724483i
\(456\) −102.155 + 128.030i −0.224024 + 0.280767i
\(457\) −394.951 + 143.750i −0.864225 + 0.314552i −0.735826 0.677170i \(-0.763206\pi\)
−0.128399 + 0.991723i \(0.540984\pi\)
\(458\) −451.994 + 701.163i −0.986886 + 1.53092i
\(459\) 711.306 402.536i 1.54969 0.876985i
\(460\) 736.985 334.087i 1.60214 0.726277i
\(461\) −648.376 + 235.990i −1.40646 + 0.511908i −0.930088 0.367338i \(-0.880269\pi\)
−0.476368 + 0.879246i \(0.658047\pi\)
\(462\) −0.881348 0.571740i −0.00190768 0.00123753i
\(463\) −354.216 422.138i −0.765045 0.911745i 0.233111 0.972450i \(-0.425109\pi\)
−0.998156 + 0.0607054i \(0.980665\pi\)
\(464\) −301.450 182.772i −0.649676 0.393906i
\(465\) 106.391 593.393i 0.228797 1.27611i
\(466\) −433.600 + 134.162i −0.930473 + 0.287901i
\(467\) −535.942 309.426i −1.14763 0.662583i −0.199320 0.979934i \(-0.563873\pi\)
−0.948308 + 0.317351i \(0.897207\pi\)
\(468\) 71.0384 17.7859i 0.151791 0.0380041i
\(469\) −1.00865 1.74703i −0.00215064 0.00372501i
\(470\) −101.931 + 110.048i −0.216874 + 0.234144i
\(471\) 218.234 + 261.604i 0.463342 + 0.555424i
\(472\) 156.905 289.928i 0.332427 0.614255i
\(473\) 165.421 + 60.2084i 0.349728 + 0.127291i
\(474\) −15.5832 + 11.7547i −0.0328759 + 0.0247990i
\(475\) −8.75720 1.54413i −0.0184362 0.00325080i
\(476\) −4.06011 2.90830i −0.00852964 0.00610987i
\(477\) −195.853 + 334.769i −0.410593 + 0.701821i
\(478\) 279.322 143.507i 0.584355 0.300225i
\(479\) 205.959 245.453i 0.429977 0.512427i −0.506938 0.861982i \(-0.669223\pi\)
0.936916 + 0.349555i \(0.113667\pi\)
\(480\) −449.079 201.832i −0.935582 0.420482i
\(481\) −11.2688 63.9084i −0.0234278 0.132866i
\(482\) −30.3035 240.120i −0.0628704 0.498175i
\(483\) −4.23389 + 2.42824i −0.00876581 + 0.00502741i
\(484\) 288.131 + 294.378i 0.595313 + 0.608220i
\(485\) 165.445 0.341123
\(486\) −335.343 + 351.769i −0.690005 + 0.723804i
\(487\) 5.24750i 0.0107752i −0.999985 0.00538758i \(-0.998285\pi\)
0.999985 0.00538758i \(-0.00171493\pi\)
\(488\) 145.752 29.8611i 0.298672 0.0611908i
\(489\) 341.116 + 594.772i 0.697579 + 1.21630i
\(490\) 62.9283 + 498.634i 0.128425 + 1.01762i
\(491\) 593.831 104.708i 1.20943 0.213255i 0.467660 0.883908i \(-0.345097\pi\)
0.741771 + 0.670653i \(0.233986\pi\)
\(492\) 662.168 + 187.114i 1.34587 + 0.380313i
\(493\) 510.919 + 428.712i 1.03635 + 0.869598i
\(494\) 24.6964 12.6883i 0.0499926 0.0256848i
\(495\) 169.123 + 98.9434i 0.341662 + 0.199886i
\(496\) 122.079 614.915i 0.246126 1.23975i
\(497\) −0.918461 + 5.20885i −0.00184801 + 0.0104806i
\(498\) −560.487 + 422.788i −1.12548 + 0.848973i
\(499\) 1.99347 5.47702i 0.00399494 0.0109760i −0.937679 0.347502i \(-0.887030\pi\)
0.941674 + 0.336526i \(0.109252\pi\)
\(500\) 37.1736 + 484.711i 0.0743471 + 0.969422i
\(501\) −37.4254 + 31.2208i −0.0747013 + 0.0623169i
\(502\) 5.36788 5.79532i 0.0106930 0.0115445i
\(503\) −103.706 + 59.8746i −0.206175 + 0.119035i −0.599532 0.800350i \(-0.704647\pi\)
0.393358 + 0.919386i \(0.371313\pi\)
\(504\) 2.81215 + 0.954649i 0.00557965 + 0.00189415i
\(505\) −354.421 + 613.875i −0.701823 + 1.21559i
\(506\) −319.914 + 98.9856i −0.632240 + 0.195624i
\(507\) 486.823 + 87.2834i 0.960204 + 0.172157i
\(508\) 235.864 + 344.657i 0.464299 + 0.678458i
\(509\) −280.047 + 234.987i −0.550190 + 0.461664i −0.875005 0.484113i \(-0.839142\pi\)
0.324816 + 0.945777i \(0.394698\pi\)
\(510\) 781.457 + 506.939i 1.53227 + 0.993998i
\(511\) 1.79769 + 4.93912i 0.00351799 + 0.00966560i
\(512\) −463.024 218.524i −0.904343 0.426805i
\(513\) −93.5044 + 158.777i −0.182270 + 0.309507i
\(514\) −80.9271 + 125.540i −0.157446 + 0.244240i
\(515\) −124.920 343.215i −0.242563 0.666437i
\(516\) −495.105 50.1085i −0.959506 0.0971096i
\(517\) 47.5547 39.9031i 0.0919820 0.0771821i
\(518\) 1.02012 2.42592i 0.00196935 0.00468324i
\(519\) 98.0873 + 271.922i 0.188993 + 0.523934i
\(520\) 55.3886 + 62.4332i 0.106517 + 0.120064i
\(521\) 109.267 189.256i 0.209726 0.363255i −0.741903 0.670508i \(-0.766076\pi\)
0.951628 + 0.307253i \(0.0994096\pi\)
\(522\) −364.699 155.832i −0.698657 0.298529i
\(523\) 696.524 402.138i 1.33179 0.768907i 0.346212 0.938156i \(-0.387468\pi\)
0.985573 + 0.169250i \(0.0541344\pi\)
\(524\) −135.888 529.804i −0.259329 1.01108i
\(525\) 0.0275410 + 0.158861i 5.24591e−5 + 0.000302593i
\(526\) −486.657 641.315i −0.925204 1.21923i
\(527\) −405.661 + 1114.54i −0.769754 + 2.11488i
\(528\) 173.931 + 106.141i 0.329415 + 0.201025i
\(529\) −178.305 + 1011.22i −0.337060 + 1.91156i
\(530\) −441.503 21.6489i −0.833024 0.0408469i
\(531\) 128.846 347.770i 0.242649 0.654934i
\(532\) 1.12057 + 0.110158i 0.00210633 + 0.000207064i
\(533\) −89.3543 74.9772i −0.167644 0.140670i
\(534\) 314.881 + 72.5332i 0.589664 + 0.135830i
\(535\) 539.192 95.0740i 1.00783 0.177708i
\(536\) 204.891 + 333.328i 0.382259 + 0.621880i
\(537\) 345.749 594.899i 0.643852 1.10782i
\(538\) 113.715 500.225i 0.211366 0.929787i
\(539\) 207.997i 0.385895i
\(540\) −532.147 153.681i −0.985457 0.284595i
\(541\) −172.884 −0.319563 −0.159782 0.987152i \(-0.551079\pi\)
−0.159782 + 0.987152i \(0.551079\pi\)
\(542\) −191.382 43.5063i −0.353104 0.0802700i
\(543\) −2.66391 + 926.921i −0.00490592 + 1.70704i
\(544\) 802.715 + 542.174i 1.47558 + 0.996644i
\(545\) −47.2992 268.247i −0.0867875 0.492197i
\(546\) −0.368350 0.343154i −0.000674633 0.000628487i
\(547\) −164.443 + 195.975i −0.300627 + 0.358273i −0.895118 0.445829i \(-0.852909\pi\)
0.594491 + 0.804102i \(0.297353\pi\)
\(548\) −424.504 41.7310i −0.774642 0.0761515i
\(549\) 157.609 56.3412i 0.287084 0.102625i
\(550\) −0.541782 + 11.0490i −0.000985058 + 0.0200891i
\(551\) −148.083 26.1110i −0.268753 0.0473884i
\(552\) 807.898 493.408i 1.46358 0.893854i
\(553\) 0.126093 + 0.0458942i 0.000228017 + 8.29913e-5i
\(554\) 500.639 379.906i 0.903680 0.685751i
\(555\) −169.201 + 460.751i −0.304866 + 0.830182i
\(556\) −85.1276 331.897i −0.153107 0.596938i
\(557\) −177.380 307.231i −0.318456 0.551582i 0.661710 0.749760i \(-0.269831\pi\)
−0.980166 + 0.198178i \(0.936498\pi\)
\(558\) 38.5900 704.224i 0.0691577 1.26205i
\(559\) 73.0554 + 42.1786i 0.130690 + 0.0754536i
\(560\) 0.516115 + 3.34506i 0.000921635 + 0.00597332i
\(561\) −294.594 248.640i −0.525122 0.443208i
\(562\) 146.443 + 61.5807i 0.260575 + 0.109574i
\(563\) 7.92579 + 9.44559i 0.0140778 + 0.0167773i 0.773037 0.634360i \(-0.218736\pi\)
−0.758960 + 0.651138i \(0.774292\pi\)
\(564\) −102.600 + 142.368i −0.181915 + 0.252426i
\(565\) 628.780 228.857i 1.11288 0.405057i
\(566\) −244.331 157.504i −0.431680 0.278276i
\(567\) 3.28334 + 0.617941i 0.00579073 + 0.00108984i
\(568\) 150.245 1014.80i 0.264516 1.78663i
\(569\) −168.484 + 61.3233i −0.296106 + 0.107774i −0.485801 0.874069i \(-0.661472\pi\)
0.189695 + 0.981843i \(0.439250\pi\)
\(570\) −209.723 10.8879i −0.367935 0.0191016i
\(571\) −254.026 302.737i −0.444880 0.530187i 0.496274 0.868166i \(-0.334701\pi\)
−0.941154 + 0.337979i \(0.890257\pi\)
\(572\) −19.5071 28.5048i −0.0341033 0.0498336i
\(573\) 514.392 + 434.151i 0.897717 + 0.757681i
\(574\) −1.39822 4.51893i −0.00243592 0.00787269i
\(575\) 44.5089 + 25.6972i 0.0774068 + 0.0446908i
\(576\) −550.322 170.065i −0.955419 0.295252i
\(577\) −344.513 596.713i −0.597075 1.03417i −0.993250 0.115990i \(-0.962996\pi\)
0.396175 0.918175i \(-0.370337\pi\)
\(578\) −920.448 852.560i −1.59247 1.47502i
\(579\) 176.018 479.314i 0.304003 0.827832i
\(580\) −34.5634 450.677i −0.0595921 0.777029i
\(581\) 4.53526 + 1.65070i 0.00780595 + 0.00284113i
\(582\) 192.100 23.6825i 0.330068 0.0406917i
\(583\) 180.157 + 31.7665i 0.309017 + 0.0544880i
\(584\) −374.924 947.998i −0.641994 1.62328i
\(585\) 71.5789 + 60.7664i 0.122357 + 0.103874i
\(586\) −109.654 213.429i −0.187122 0.364213i
\(587\) 207.235 246.973i 0.353040 0.420737i −0.560073 0.828443i \(-0.689227\pi\)
0.913113 + 0.407706i \(0.133671\pi\)
\(588\) 144.444 + 569.961i 0.245652 + 0.969322i
\(589\) −46.4340 263.340i −0.0788353 0.447097i
\(590\) 419.355 52.9231i 0.710771 0.0897002i
\(591\) 1.72683 600.857i 0.00292187 1.01668i
\(592\) −184.823 + 475.790i −0.312200 + 0.803699i
\(593\) 469.564 0.791846 0.395923 0.918284i \(-0.370425\pi\)
0.395923 + 0.918284i \(0.370425\pi\)
\(594\) 210.533 + 90.6752i 0.354433 + 0.152652i
\(595\) 6.40345i 0.0107621i
\(596\) −438.752 448.264i −0.736160 0.752121i
\(597\) −401.127 + 690.184i −0.671905 + 1.15609i
\(598\) −159.210 + 20.0925i −0.266238 + 0.0335996i
\(599\) −527.632 + 93.0357i −0.880854 + 0.155318i −0.595742 0.803176i \(-0.703142\pi\)
−0.285112 + 0.958494i \(0.592031\pi\)
\(600\) −6.18835 30.6531i −0.0103139 0.0510884i
\(601\) 647.757 + 543.533i 1.07780 + 0.904381i 0.995736 0.0922465i \(-0.0294048\pi\)
0.0820627 + 0.996627i \(0.473849\pi\)
\(602\) 1.56333 + 3.04286i 0.00259690 + 0.00505459i
\(603\) 280.994 + 338.812i 0.465994 + 0.561877i
\(604\) 81.4409 + 58.3370i 0.134836 + 0.0965844i
\(605\) −91.7119 + 520.124i −0.151590 + 0.859709i
\(606\) −323.648 + 763.509i −0.534073 + 1.25992i
\(607\) 138.471 380.445i 0.228123 0.626763i −0.771836 0.635822i \(-0.780661\pi\)
0.999959 + 0.00905875i \(0.00288353\pi\)
\(608\) −217.845 15.3712i −0.358298 0.0252816i
\(609\) 0.465714 + 2.68632i 0.000764719 + 0.00441103i
\(610\) 139.949 + 129.627i 0.229425 + 0.212504i
\(611\) 25.7624 14.8739i 0.0421643 0.0243436i
\(612\) 979.923 + 476.751i 1.60118 + 0.779004i
\(613\) 62.6459 108.506i 0.102196 0.177008i −0.810393 0.585886i \(-0.800747\pi\)
0.912589 + 0.408878i \(0.134080\pi\)
\(614\) −121.233 391.815i −0.197448 0.638136i
\(615\) 299.364 + 829.909i 0.486770 + 1.34944i
\(616\) −0.0385814 1.40021i −6.26321e−5 0.00227306i
\(617\) 221.013 185.452i 0.358205 0.300570i −0.445870 0.895098i \(-0.647105\pi\)
0.804075 + 0.594528i \(0.202661\pi\)
\(618\) −194.175 380.629i −0.314200 0.615904i
\(619\) −122.807 337.411i −0.198397 0.545090i 0.800102 0.599864i \(-0.204779\pi\)
−0.998499 + 0.0547735i \(0.982556\pi\)
\(620\) 732.098 331.872i 1.18080 0.535277i
\(621\) 821.696 677.499i 1.32318 1.09098i
\(622\) 410.957 + 264.917i 0.660702 + 0.425911i
\(623\) −0.759737 2.08736i −0.00121948 0.00335050i
\(624\) 73.2492 + 64.5632i 0.117387 + 0.103467i
\(625\) −502.431 + 421.589i −0.803889 + 0.674543i
\(626\) 251.945 + 105.945i 0.402468 + 0.169242i
\(627\) 85.5469 + 15.3379i 0.136438 + 0.0244623i
\(628\) −122.265 + 437.476i −0.194689 + 0.696619i
\(629\) 482.842 836.307i 0.767634 1.32958i
\(630\) 1.10459 + 3.64398i 0.00175331 + 0.00578410i
\(631\) −874.059 + 504.638i −1.38520 + 0.799743i −0.992769 0.120040i \(-0.961698\pi\)
−0.392427 + 0.919783i \(0.628364\pi\)
\(632\) −24.6923 8.22440i −0.0390700 0.0130133i
\(633\) −919.881 + 767.378i −1.45321 + 1.21229i
\(634\) 225.187 170.881i 0.355184 0.269529i
\(635\) −183.144 + 503.183i −0.288415 + 0.792415i
\(636\) −515.732 + 38.0621i −0.810900 + 0.0598460i
\(637\) 17.3079 98.1580i 0.0271710 0.154094i
\(638\) −9.16144 + 186.836i −0.0143596 + 0.292847i
\(639\) 6.63357 1154.08i 0.0103812 1.80607i
\(640\) −117.935 645.786i −0.184273 1.00904i
\(641\) 610.695 + 512.434i 0.952722 + 0.799429i 0.979754 0.200206i \(-0.0641611\pi\)
−0.0270317 + 0.999635i \(0.508606\pi\)
\(642\) 612.451 187.574i 0.953974 0.292171i
\(643\) 696.625 122.834i 1.08340 0.191032i 0.396680 0.917957i \(-0.370162\pi\)
0.686717 + 0.726925i \(0.259051\pi\)
\(644\) −5.86817 2.81337i −0.00911206 0.00436859i
\(645\) −317.434 553.479i −0.492146 0.858108i
\(646\) 402.891 + 91.5879i 0.623670 + 0.141777i
\(647\) 595.093i 0.919774i 0.887978 + 0.459887i \(0.152110\pi\)
−0.887978 + 0.459887i \(0.847890\pi\)
\(648\) −639.879 102.267i −0.987468 0.157819i
\(649\) −174.927 −0.269533
\(650\) −1.17509 + 5.16915i −0.00180783 + 0.00795253i
\(651\) −4.20581 + 2.41213i −0.00646053 + 0.00370528i
\(652\) −395.220 + 824.354i −0.606165 + 1.26435i
\(653\) −128.322 727.750i −0.196511 1.11447i −0.910250 0.414060i \(-0.864111\pi\)
0.713738 0.700412i \(-0.247001\pi\)
\(654\) −93.3177 304.694i −0.142688 0.465893i
\(655\) 450.776 537.214i 0.688207 0.820173i
\(656\) 295.229 + 868.664i 0.450044 + 1.32418i
\(657\) −567.720 996.503i −0.864109 1.51675i
\(658\) 1.20493 + 0.0590831i 0.00183120 + 8.97919e-5i
\(659\) −225.185 39.7062i −0.341707 0.0602522i 0.000161354 1.00000i \(-0.499949\pi\)
−0.341869 + 0.939748i \(0.611060\pi\)
\(660\) 19.2287 + 260.544i 0.0291343 + 0.394763i
\(661\) 247.564 + 90.1059i 0.374529 + 0.136318i 0.522425 0.852686i \(-0.325028\pi\)
−0.147895 + 0.989003i \(0.547250\pi\)
\(662\) −183.729 242.118i −0.277537 0.365737i
\(663\) −118.335 141.852i −0.178484 0.213954i
\(664\) −888.118 295.811i −1.33753 0.445498i
\(665\) 0.721837 + 1.25026i 0.00108547 + 0.00188009i
\(666\) −130.507 + 559.203i −0.195956 + 0.839644i
\(667\) 752.638 + 434.536i 1.12839 + 0.651478i
\(668\) −62.5858 17.4913i −0.0936913 0.0261845i
\(669\) −146.766 + 818.588i −0.219381 + 1.22360i
\(670\) −194.461 + 462.440i −0.290240 + 0.690210i
\(671\) −50.7454 60.4760i −0.0756265 0.0901282i
\(672\) 1.07809 + 3.81010i 0.00160431 + 0.00566979i
\(673\) 262.025 95.3693i 0.389339 0.141708i −0.139931 0.990161i \(-0.544688\pi\)
0.529270 + 0.848453i \(0.322466\pi\)
\(674\) −138.006 + 214.084i −0.204757 + 0.317632i
\(675\) −11.7469 33.1613i −0.0174029 0.0491278i
\(676\) 272.270 + 600.617i 0.402766 + 0.888487i
\(677\) −213.983 + 77.8835i −0.316076 + 0.115042i −0.495186 0.868787i \(-0.664900\pi\)
0.179111 + 0.983829i \(0.442678\pi\)
\(678\) 697.322 355.735i 1.02850 0.524682i
\(679\) −0.855279 1.01928i −0.00125962 0.00150115i
\(680\) 34.2086 + 1241.51i 0.0503068 + 1.82575i
\(681\) −452.135 + 163.094i −0.663928 + 0.239491i
\(682\) −317.792 + 98.3292i −0.465971 + 0.144178i
\(683\) −662.983 382.773i −0.970692 0.560429i −0.0712449 0.997459i \(-0.522697\pi\)
−0.899447 + 0.437030i \(0.856031\pi\)
\(684\) −245.070 + 17.3786i −0.358289 + 0.0254074i
\(685\) −273.453 473.634i −0.399201 0.691437i
\(686\) 5.49350 5.93095i 0.00800802 0.00864569i
\(687\) −1232.94 + 213.749i −1.79468 + 0.311135i
\(688\) −319.356 581.601i −0.464181 0.845351i
\(689\) 82.3761 + 29.9825i 0.119559 + 0.0435159i
\(690\) 1117.50 + 473.706i 1.61957 + 0.686530i
\(691\) −460.568 81.2105i −0.666523 0.117526i −0.169858 0.985468i \(-0.554331\pi\)
−0.496665 + 0.867942i \(0.665442\pi\)
\(692\) −224.446 + 313.336i −0.324344 + 0.452798i
\(693\) −0.264715 1.55344i −0.000381985 0.00224161i
\(694\) 53.8865 27.6853i 0.0776462 0.0398924i
\(695\) 282.390 336.539i 0.406316 0.484229i
\(696\) −104.644 518.338i −0.150351 0.744738i
\(697\) −301.412 1709.39i −0.432442 2.45250i
\(698\) 43.2795 + 342.941i 0.0620051 + 0.491319i
\(699\) −588.629 342.105i −0.842102 0.489420i
\(700\) −0.153631 + 0.150371i −0.000219473 + 0.000214816i
\(701\) −88.4726 −0.126209 −0.0631046 0.998007i \(-0.520100\pi\)
−0.0631046 + 0.998007i \(0.520100\pi\)
\(702\) 91.8094 + 60.3103i 0.130783 + 0.0859121i
\(703\) 217.716i 0.309695i
\(704\) 14.9604 + 271.267i 0.0212506 + 0.385323i
\(705\) −225.001 0.646640i −0.319150 0.000917219i
\(706\) 97.1365 + 769.695i 0.137587 + 1.09022i
\(707\) 5.61420 0.989935i 0.00794088 0.00140019i
\(708\) 479.341 121.478i 0.677036 0.171579i
\(709\) −0.313958 0.263442i −0.000442819 0.000371569i 0.642566 0.766230i \(-0.277870\pi\)
−0.643009 + 0.765859i \(0.722314\pi\)
\(710\) 1169.95 601.085i 1.64781 0.846598i
\(711\) −28.8047 5.24993i −0.0405129 0.00738386i
\(712\) 158.450 + 400.641i 0.222542 + 0.562698i
\(713\) −268.373 + 1522.02i −0.376400 + 2.13467i
\(714\) −0.916620 7.43511i −0.00128378 0.0104133i
\(715\) 15.1469 41.6158i 0.0211845 0.0582039i
\(716\) 914.747 70.1540i 1.27758 0.0979804i
\(717\) 442.173 + 162.378i 0.616699 + 0.226469i
\(718\) −775.753 + 837.525i −1.08044 + 1.16647i
\(719\) 437.936 252.842i 0.609090 0.351658i −0.163519 0.986540i \(-0.552285\pi\)
0.772609 + 0.634882i \(0.218951\pi\)
\(720\) −233.626 700.598i −0.324480 0.973053i
\(721\) −1.46872 + 2.54389i −0.00203706 + 0.00352828i
\(722\) 600.750 185.880i 0.832064 0.257452i
\(723\) 234.154 277.431i 0.323865 0.383722i
\(724\) −1019.93 + 697.985i −1.40875 + 0.964068i
\(725\) 21.9921 18.4536i 0.0303340 0.0254532i
\(726\) −32.0346 + 617.049i −0.0441248 + 0.849930i
\(727\) 317.879 + 873.365i 0.437247 + 1.20133i 0.941275 + 0.337640i \(0.109629\pi\)
−0.504028 + 0.863687i \(0.668149\pi\)
\(728\) 0.0983068 0.663995i 0.000135037 0.000912080i
\(729\) −728.892 12.5700i −0.999851 0.0172427i
\(730\) 708.201 1098.61i 0.970139 1.50494i
\(731\) 429.341 + 1179.60i 0.587334 + 1.61369i
\(732\) 181.052 + 130.478i 0.247339 + 0.178249i
\(733\) 465.367 390.489i 0.634880 0.532728i −0.267561 0.963541i \(-0.586218\pi\)
0.902441 + 0.430813i \(0.141773\pi\)
\(734\) −61.2231 + 145.593i −0.0834103 + 0.198355i
\(735\) −486.245 + 576.114i −0.661558 + 0.783828i
\(736\) 1152.76 + 514.111i 1.56624 + 0.698520i
\(737\) 103.807 179.799i 0.140851 0.243961i
\(738\) 466.391 + 920.763i 0.631966 + 1.24765i
\(739\) 1027.02 592.950i 1.38974 0.802368i 0.396457 0.918053i \(-0.370240\pi\)
0.993286 + 0.115685i \(0.0369063\pi\)
\(740\) −633.929 + 162.595i −0.856661 + 0.219723i
\(741\) 39.0949 + 14.3568i 0.0527597 + 0.0193749i
\(742\) 2.14901 + 2.83195i 0.00289624 + 0.00381665i
\(743\) −66.6908 + 183.232i −0.0897589 + 0.246610i −0.976447 0.215758i \(-0.930778\pi\)
0.886688 + 0.462368i \(0.153000\pi\)
\(744\) 802.540 490.135i 1.07868 0.658784i
\(745\) 139.654 792.018i 0.187455 1.06311i
\(746\) 1183.54 + 58.0343i 1.58652 + 0.0777940i
\(747\) −1036.03 188.827i −1.38692 0.252780i
\(748\) 50.2860 511.529i 0.0672273 0.683862i
\(749\) −3.37313 2.83039i −0.00450351 0.00377889i
\(750\) −497.052 + 533.548i −0.662737 + 0.711397i
\(751\) −352.727 + 62.1954i −0.469677 + 0.0828167i −0.403477 0.914990i \(-0.632199\pi\)
−0.0661997 + 0.997806i \(0.521087\pi\)
\(752\) −233.928 5.01810i −0.311075 0.00667300i
\(753\) 11.8490 + 0.0340533i 0.0157357 + 4.52235e-5i
\(754\) −19.8705 + 87.4094i −0.0263535 + 0.115928i