Properties

Label 105.4.s.a.26.13
Level $105$
Weight $4$
Character 105.26
Analytic conductor $6.195$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 105 = 3 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 105.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.19520055060\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(16\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 26.13
Character \(\chi\) \(=\) 105.26
Dual form 105.4.s.a.101.13

$q$-expansion

\(f(q)\) \(=\) \(q+(3.53626 + 2.04166i) q^{2} +(-2.57442 + 4.51357i) q^{3} +(4.33676 + 7.51148i) q^{4} +(-2.50000 + 4.33013i) q^{5} +(-18.3190 + 10.7051i) q^{6} +(0.627588 + 18.5096i) q^{7} +2.75017i q^{8} +(-13.7447 - 23.2397i) q^{9} +O(q^{10})\) \(q+(3.53626 + 2.04166i) q^{2} +(-2.57442 + 4.51357i) q^{3} +(4.33676 + 7.51148i) q^{4} +(-2.50000 + 4.33013i) q^{5} +(-18.3190 + 10.7051i) q^{6} +(0.627588 + 18.5096i) q^{7} +2.75017i q^{8} +(-13.7447 - 23.2397i) q^{9} +(-17.6813 + 10.2083i) q^{10} +(-7.33279 + 4.23359i) q^{11} +(-45.0683 + 0.236524i) q^{12} +5.50408i q^{13} +(-35.5711 + 66.7362i) q^{14} +(-13.1083 - 22.4315i) q^{15} +(29.0791 - 50.3665i) q^{16} +(60.2944 + 104.433i) q^{17} +(-1.15718 - 110.244i) q^{18} +(23.3904 + 13.5044i) q^{19} -43.3676 q^{20} +(-85.1602 - 44.8190i) q^{21} -34.5742 q^{22} +(-2.98204 - 1.72168i) q^{23} +(-12.4131 - 7.08012i) q^{24} +(-12.5000 - 21.6506i) q^{25} +(-11.2375 + 19.4639i) q^{26} +(140.279 - 2.20876i) q^{27} +(-136.313 + 84.9859i) q^{28} +72.7598i q^{29} +(-0.556754 - 106.086i) q^{30} +(242.287 - 139.885i) q^{31} +(224.717 - 129.740i) q^{32} +(-0.230897 - 43.9961i) q^{33} +492.403i q^{34} +(-81.7180 - 43.5565i) q^{35} +(114.957 - 204.028i) q^{36} +(44.8944 - 77.7594i) q^{37} +(55.1429 + 95.5104i) q^{38} +(-24.8431 - 14.1698i) q^{39} +(-11.9086 - 6.87544i) q^{40} -221.251 q^{41} +(-209.644 - 332.360i) q^{42} +495.285 q^{43} +(-63.6010 - 36.7201i) q^{44} +(134.993 - 1.41695i) q^{45} +(-7.03018 - 12.1766i) q^{46} +(-100.415 + 173.923i) q^{47} +(152.471 + 260.916i) q^{48} +(-342.212 + 23.2328i) q^{49} -102.083i q^{50} +(-626.589 + 3.28842i) q^{51} +(-41.3438 + 23.8699i) q^{52} +(-63.3970 + 36.6023i) q^{53} +(500.572 + 278.591i) q^{54} -42.3359i q^{55} +(-50.9047 + 1.72598i) q^{56} +(-121.170 + 70.8080i) q^{57} +(-148.551 + 257.297i) q^{58} +(180.462 + 312.570i) q^{59} +(111.647 - 195.743i) q^{60} +(-586.446 - 338.585i) q^{61} +1142.39 q^{62} +(421.532 - 268.994i) q^{63} +594.275 q^{64} +(-23.8334 - 13.7602i) q^{65} +(89.0086 - 156.053i) q^{66} +(-385.932 - 668.453i) q^{67} +(-522.964 + 905.801i) q^{68} +(15.4480 - 9.02732i) q^{69} +(-200.048 - 320.868i) q^{70} -801.257i q^{71} +(63.9132 - 37.8003i) q^{72} +(881.784 - 509.098i) q^{73} +(317.517 - 183.318i) q^{74} +(129.902 - 0.681742i) q^{75} +234.262i q^{76} +(-82.9641 - 133.070i) q^{77} +(-58.9215 - 100.829i) q^{78} +(96.8783 - 167.798i) q^{79} +(145.396 + 251.833i) q^{80} +(-351.168 + 638.845i) q^{81} +(-782.400 - 451.719i) q^{82} -1419.66 q^{83} +(-32.6623 - 834.048i) q^{84} -602.944 q^{85} +(1751.46 + 1011.20i) q^{86} +(-328.407 - 187.315i) q^{87} +(-11.6431 - 20.1664i) q^{88} +(-310.733 + 538.205i) q^{89} +(480.262 + 270.598i) q^{90} +(-101.878 + 3.45429i) q^{91} -29.8661i q^{92} +(7.62922 + 1453.70i) q^{93} +(-710.186 + 410.026i) q^{94} +(-116.952 + 67.5222i) q^{95} +(7.07594 + 1348.28i) q^{96} +30.4414i q^{97} +(-1257.59 - 616.524i) q^{98} +(199.174 + 112.223i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{3} + 64q^{4} - 80q^{5} - 28q^{6} + 46q^{7} + 100q^{9} + O(q^{10}) \) \( 32q - 2q^{3} + 64q^{4} - 80q^{5} - 28q^{6} + 46q^{7} + 100q^{9} + 36q^{11} + 246q^{12} + 18q^{14} + 20q^{15} - 376q^{16} - 72q^{17} - 442q^{18} - 198q^{19} - 640q^{20} - 218q^{21} + 204q^{22} + 72q^{23} - 50q^{24} - 400q^{25} - 312q^{26} + 508q^{27} + 350q^{28} + 40q^{30} + 510q^{31} + 810q^{32} + 290q^{33} - 70q^{35} - 612q^{36} - 658q^{37} - 192q^{38} - 648q^{39} - 1404q^{41} + 1892q^{42} + 332q^{43} + 2034q^{44} - 490q^{45} - 468q^{46} + 408q^{47} + 2810q^{48} + 980q^{49} - 888q^{51} + 3378q^{52} + 1152q^{53} + 2714q^{54} - 3354q^{56} - 816q^{57} - 1080q^{58} - 48q^{59} - 420q^{60} - 1662q^{61} - 2076q^{62} + 874q^{63} - 1952q^{64} + 870q^{65} - 1892q^{66} - 1298q^{67} + 1182q^{68} + 2450q^{69} - 450q^{70} - 2708q^{72} + 378q^{73} + 2898q^{74} - 50q^{75} - 3528q^{77} - 1896q^{78} - 326q^{79} - 1880q^{80} - 3308q^{81} - 2916q^{82} - 1536q^{83} + 1380q^{84} + 720q^{85} + 5202q^{86} - 1090q^{87} + 1668q^{88} - 1590q^{89} + 910q^{90} + 2082q^{91} - 4950q^{93} - 1152q^{94} + 990q^{95} + 7416q^{96} - 7830q^{98} + 3128q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

\(n\) \(22\) \(31\) \(71\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.53626 + 2.04166i 1.25026 + 0.721836i 0.971160 0.238427i \(-0.0766318\pi\)
0.279096 + 0.960263i \(0.409965\pi\)
\(3\) −2.57442 + 4.51357i −0.495448 + 0.868638i
\(4\) 4.33676 + 7.51148i 0.542095 + 0.938935i
\(5\) −2.50000 + 4.33013i −0.223607 + 0.387298i
\(6\) −18.3190 + 10.7051i −1.24645 + 0.728388i
\(7\) 0.627588 + 18.5096i 0.0338866 + 0.999426i
\(8\) 2.75017i 0.121542i
\(9\) −13.7447 23.2397i −0.509062 0.860730i
\(10\) −17.6813 + 10.2083i −0.559132 + 0.322815i
\(11\) −7.33279 + 4.23359i −0.200993 + 0.116043i −0.597118 0.802153i \(-0.703688\pi\)
0.396126 + 0.918196i \(0.370354\pi\)
\(12\) −45.0683 + 0.236524i −1.08417 + 0.00568988i
\(13\) 5.50408i 0.117427i 0.998275 + 0.0587137i \(0.0186999\pi\)
−0.998275 + 0.0587137i \(0.981300\pi\)
\(14\) −35.5711 + 66.7362i −0.679055 + 1.27400i
\(15\) −13.1083 22.4315i −0.225636 0.386120i
\(16\) 29.0791 50.3665i 0.454361 0.786977i
\(17\) 60.2944 + 104.433i 0.860208 + 1.48992i 0.871728 + 0.489990i \(0.163000\pi\)
−0.0115198 + 0.999934i \(0.503667\pi\)
\(18\) −1.15718 110.244i −0.0151527 1.44359i
\(19\) 23.3904 + 13.5044i 0.282427 + 0.163059i 0.634522 0.772905i \(-0.281197\pi\)
−0.352095 + 0.935964i \(0.614530\pi\)
\(20\) −43.3676 −0.484864
\(21\) −85.1602 44.8190i −0.884928 0.465728i
\(22\) −34.5742 −0.335057
\(23\) −2.98204 1.72168i −0.0270347 0.0156085i 0.486422 0.873724i \(-0.338302\pi\)
−0.513456 + 0.858116i \(0.671635\pi\)
\(24\) −12.4131 7.08012i −0.105576 0.0602176i
\(25\) −12.5000 21.6506i −0.100000 0.173205i
\(26\) −11.2375 + 19.4639i −0.0847634 + 0.146814i
\(27\) 140.279 2.20876i 0.999876 0.0157436i
\(28\) −136.313 + 84.9859i −0.920026 + 0.573601i
\(29\) 72.7598i 0.465902i 0.972489 + 0.232951i \(0.0748381\pi\)
−0.972489 + 0.232951i \(0.925162\pi\)
\(30\) −0.556754 106.086i −0.00338830 0.645621i
\(31\) 242.287 139.885i 1.40374 0.810452i 0.408970 0.912548i \(-0.365888\pi\)
0.994775 + 0.102095i \(0.0325546\pi\)
\(32\) 224.717 129.740i 1.24140 0.716720i
\(33\) −0.230897 43.9961i −0.00121800 0.232083i
\(34\) 492.403i 2.48372i
\(35\) −81.7180 43.5565i −0.394653 0.210354i
\(36\) 114.957 204.028i 0.532210 0.944574i
\(37\) 44.8944 77.7594i 0.199476 0.345502i −0.748883 0.662702i \(-0.769409\pi\)
0.948359 + 0.317200i \(0.102743\pi\)
\(38\) 55.1429 + 95.5104i 0.235404 + 0.407732i
\(39\) −24.8431 14.1698i −0.102002 0.0581792i
\(40\) −11.9086 6.87544i −0.0470729 0.0271775i
\(41\) −221.251 −0.842770 −0.421385 0.906882i \(-0.638456\pi\)
−0.421385 + 0.906882i \(0.638456\pi\)
\(42\) −209.644 332.360i −0.770207 1.22105i
\(43\) 495.285 1.75652 0.878259 0.478185i \(-0.158705\pi\)
0.878259 + 0.478185i \(0.158705\pi\)
\(44\) −63.6010 36.7201i −0.217914 0.125813i
\(45\) 134.993 1.41695i 0.447189 0.00469393i
\(46\) −7.03018 12.1766i −0.0225336 0.0390293i
\(47\) −100.415 + 173.923i −0.311638 + 0.539773i −0.978717 0.205214i \(-0.934211\pi\)
0.667079 + 0.744987i \(0.267544\pi\)
\(48\) 152.471 + 260.916i 0.458485 + 0.784582i
\(49\) −342.212 + 23.2328i −0.997703 + 0.0677342i
\(50\) 102.083i 0.288734i
\(51\) −626.589 + 3.28842i −1.72039 + 0.00902883i
\(52\) −41.3438 + 23.8699i −0.110257 + 0.0636568i
\(53\) −63.3970 + 36.6023i −0.164307 + 0.0948625i −0.579899 0.814689i \(-0.696908\pi\)
0.415592 + 0.909551i \(0.363574\pi\)
\(54\) 500.572 + 278.591i 1.26147 + 0.702063i
\(55\) 42.3359i 0.103792i
\(56\) −50.9047 + 1.72598i −0.121472 + 0.00411863i
\(57\) −121.170 + 70.8080i −0.281568 + 0.164539i
\(58\) −148.551 + 257.297i −0.336305 + 0.582497i
\(59\) 180.462 + 312.570i 0.398207 + 0.689714i 0.993505 0.113791i \(-0.0362993\pi\)
−0.595298 + 0.803505i \(0.702966\pi\)
\(60\) 111.647 195.743i 0.240225 0.421171i
\(61\) −586.446 338.585i −1.23093 0.710678i −0.263706 0.964603i \(-0.584945\pi\)
−0.967224 + 0.253925i \(0.918278\pi\)
\(62\) 1142.39 2.34006
\(63\) 421.532 268.994i 0.842985 0.537937i
\(64\) 594.275 1.16069
\(65\) −23.8334 13.7602i −0.0454795 0.0262576i
\(66\) 89.0086 156.053i 0.166003 0.291043i
\(67\) −385.932 668.453i −0.703717 1.21887i −0.967152 0.254197i \(-0.918189\pi\)
0.263435 0.964677i \(-0.415145\pi\)
\(68\) −522.964 + 905.801i −0.932628 + 1.61536i
\(69\) 15.4480 9.02732i 0.0269524 0.0157502i
\(70\) −200.048 320.868i −0.341577 0.547872i
\(71\) 801.257i 1.33932i −0.742668 0.669660i \(-0.766440\pi\)
0.742668 0.669660i \(-0.233560\pi\)
\(72\) 63.9132 37.8003i 0.104615 0.0618723i
\(73\) 881.784 509.098i 1.41377 0.816239i 0.418027 0.908435i \(-0.362722\pi\)
0.995741 + 0.0921954i \(0.0293884\pi\)
\(74\) 317.517 183.318i 0.498791 0.287977i
\(75\) 129.902 0.681742i 0.199997 0.00104961i
\(76\) 234.262i 0.353575i
\(77\) −82.9641 133.070i −0.122787 0.196945i
\(78\) −58.9215 100.829i −0.0855327 0.146368i
\(79\) 96.8783 167.798i 0.137970 0.238972i −0.788758 0.614704i \(-0.789275\pi\)
0.926728 + 0.375732i \(0.122609\pi\)
\(80\) 145.396 + 251.833i 0.203197 + 0.351947i
\(81\) −351.168 + 638.845i −0.481711 + 0.876330i
\(82\) −782.400 451.719i −1.05368 0.608342i
\(83\) −1419.66 −1.87745 −0.938724 0.344670i \(-0.887991\pi\)
−0.938724 + 0.344670i \(0.887991\pi\)
\(84\) −32.6623 834.048i −0.0424255 1.08336i
\(85\) −602.944 −0.769393
\(86\) 1751.46 + 1011.20i 2.19610 + 1.26792i
\(87\) −328.407 187.315i −0.404700 0.230830i
\(88\) −11.6431 20.1664i −0.0141041 0.0244290i
\(89\) −310.733 + 538.205i −0.370085 + 0.641007i −0.989578 0.143995i \(-0.954005\pi\)
0.619493 + 0.785002i \(0.287338\pi\)
\(90\) 480.262 + 270.598i 0.562489 + 0.316929i
\(91\) −101.878 + 3.45429i −0.117360 + 0.00397921i
\(92\) 29.8661i 0.0338451i
\(93\) 7.62922 + 1453.70i 0.00850659 + 1.62088i
\(94\) −710.186 + 410.026i −0.779256 + 0.449904i
\(95\) −116.952 + 67.5222i −0.126305 + 0.0729224i
\(96\) 7.07594 + 1348.28i 0.00752276 + 1.43342i
\(97\) 30.4414i 0.0318644i 0.999873 + 0.0159322i \(0.00507160\pi\)
−0.999873 + 0.0159322i \(0.994928\pi\)
\(98\) −1257.59 616.524i −1.29628 0.635493i
\(99\) 199.174 + 112.223i 0.202200 + 0.113927i
\(100\) 108.419 187.787i 0.108419 0.187787i
\(101\) 485.210 + 840.409i 0.478022 + 0.827959i 0.999683 0.0251945i \(-0.00802050\pi\)
−0.521660 + 0.853153i \(0.674687\pi\)
\(102\) −2222.50 1267.65i −2.15745 1.23055i
\(103\) −895.886 517.240i −0.857032 0.494808i 0.00598542 0.999982i \(-0.498095\pi\)
−0.863017 + 0.505175i \(0.831428\pi\)
\(104\) −15.1372 −0.0142723
\(105\) 406.972 256.707i 0.378252 0.238591i
\(106\) −298.918 −0.273901
\(107\) −299.147 172.713i −0.270277 0.156045i 0.358736 0.933439i \(-0.383208\pi\)
−0.629014 + 0.777394i \(0.716541\pi\)
\(108\) 624.946 + 1044.12i 0.556810 + 0.930285i
\(109\) 381.979 + 661.607i 0.335660 + 0.581380i 0.983611 0.180301i \(-0.0577073\pi\)
−0.647951 + 0.761682i \(0.724374\pi\)
\(110\) 86.4355 149.711i 0.0749209 0.129767i
\(111\) 235.396 + 402.820i 0.201286 + 0.344450i
\(112\) 950.515 + 506.634i 0.801922 + 0.427433i
\(113\) 1127.01i 0.938229i −0.883137 0.469114i \(-0.844573\pi\)
0.883137 0.469114i \(-0.155427\pi\)
\(114\) −573.054 + 3.00746i −0.470802 + 0.00247083i
\(115\) 14.9102 8.60841i 0.0120903 0.00698033i
\(116\) −546.534 + 315.541i −0.437452 + 0.252563i
\(117\) 127.913 75.6518i 0.101073 0.0597779i
\(118\) 1473.77i 1.14976i
\(119\) −1895.17 + 1181.57i −1.45992 + 0.910202i
\(120\) 61.6906 36.0501i 0.0469296 0.0274242i
\(121\) −629.653 + 1090.59i −0.473068 + 0.819378i
\(122\) −1382.55 2394.65i −1.02599 1.77706i
\(123\) 569.593 998.631i 0.417549 0.732061i
\(124\) 2101.48 + 1213.29i 1.52193 + 0.878684i
\(125\) 125.000 0.0894427
\(126\) 2039.84 90.6064i 1.44225 0.0640624i
\(127\) 1904.91 1.33097 0.665485 0.746411i \(-0.268225\pi\)
0.665485 + 0.746411i \(0.268225\pi\)
\(128\) 303.780 + 175.387i 0.209770 + 0.121111i
\(129\) −1275.07 + 2235.51i −0.870264 + 1.52578i
\(130\) −56.1873 97.3193i −0.0379073 0.0656574i
\(131\) 1022.16 1770.44i 0.681731 1.18079i −0.292721 0.956198i \(-0.594561\pi\)
0.974452 0.224595i \(-0.0721058\pi\)
\(132\) 329.475 192.535i 0.217251 0.126955i
\(133\) −235.282 + 441.422i −0.153395 + 0.287791i
\(134\) 3151.77i 2.03187i
\(135\) −341.133 + 612.947i −0.217482 + 0.390771i
\(136\) −287.209 + 165.820i −0.181088 + 0.104551i
\(137\) 135.672 78.3304i 0.0846078 0.0488483i −0.457099 0.889416i \(-0.651112\pi\)
0.541707 + 0.840567i \(0.317778\pi\)
\(138\) 73.0588 0.383421i 0.0450665 0.000236514i
\(139\) 1051.68i 0.641746i −0.947122 0.320873i \(-0.896024\pi\)
0.947122 0.320873i \(-0.103976\pi\)
\(140\) −27.2170 802.717i −0.0164304 0.484586i
\(141\) −526.506 900.982i −0.314467 0.538130i
\(142\) 1635.90 2833.45i 0.966770 1.67449i
\(143\) −23.3020 40.3603i −0.0136267 0.0236021i
\(144\) −1570.19 + 16.4815i −0.908673 + 0.00953791i
\(145\) −315.059 181.899i −0.180443 0.104179i
\(146\) 4157.63 2.35676
\(147\) 776.136 1604.41i 0.435474 0.900201i
\(148\) 778.785 0.432539
\(149\) 945.006 + 545.599i 0.519583 + 0.299982i 0.736764 0.676150i \(-0.236353\pi\)
−0.217181 + 0.976131i \(0.569686\pi\)
\(150\) 460.759 + 262.805i 0.250806 + 0.143053i
\(151\) 1672.45 + 2896.76i 0.901336 + 1.56116i 0.825762 + 0.564019i \(0.190745\pi\)
0.0755736 + 0.997140i \(0.475921\pi\)
\(152\) −37.1395 + 64.3276i −0.0198185 + 0.0343267i
\(153\) 1598.26 2836.62i 0.844522 1.49887i
\(154\) −21.6983 639.955i −0.0113539 0.334864i
\(155\) 1398.85i 0.724891i
\(156\) −1.30185 248.059i −0.000668148 0.127312i
\(157\) −1817.80 + 1049.51i −0.924055 + 0.533503i −0.884926 0.465731i \(-0.845791\pi\)
−0.0391283 + 0.999234i \(0.512458\pi\)
\(158\) 685.174 395.585i 0.344997 0.199184i
\(159\) −1.99626 380.377i −0.000995686 0.189722i
\(160\) 1297.40i 0.641054i
\(161\) 29.9962 56.2769i 0.0146834 0.0275481i
\(162\) −2546.12 + 1542.16i −1.23483 + 0.747921i
\(163\) 1248.73 2162.87i 0.600050 1.03932i −0.392762 0.919640i \(-0.628480\pi\)
0.992813 0.119678i \(-0.0381862\pi\)
\(164\) −959.511 1661.92i −0.456861 0.791306i
\(165\) 191.086 + 108.990i 0.0901577 + 0.0514236i
\(166\) −5020.29 2898.47i −2.34729 1.35521i
\(167\) 3329.30 1.54269 0.771345 0.636417i \(-0.219584\pi\)
0.771345 + 0.636417i \(0.219584\pi\)
\(168\) 123.260 234.205i 0.0566054 0.107556i
\(169\) 2166.71 0.986211
\(170\) −2132.17 1231.01i −0.961939 0.555376i
\(171\) −7.65406 729.199i −0.00342293 0.326101i
\(172\) 2147.93 + 3720.33i 0.952199 + 1.64926i
\(173\) −134.286 + 232.590i −0.0590149 + 0.102217i −0.894023 0.448020i \(-0.852129\pi\)
0.835009 + 0.550237i \(0.185463\pi\)
\(174\) −778.898 1332.89i −0.339357 0.580724i
\(175\) 392.900 244.958i 0.169717 0.105812i
\(176\) 492.436i 0.210902i
\(177\) −1875.39 + 9.84230i −0.796403 + 0.00417962i
\(178\) −2197.66 + 1268.82i −0.925404 + 0.534282i
\(179\) 1472.14 849.943i 0.614711 0.354904i −0.160096 0.987101i \(-0.551180\pi\)
0.774807 + 0.632198i \(0.217847\pi\)
\(180\) 596.073 + 1007.85i 0.246826 + 0.417337i
\(181\) 2624.64i 1.07783i −0.842359 0.538917i \(-0.818834\pi\)
0.842359 0.538917i \(-0.181166\pi\)
\(182\) −367.321 195.786i −0.149603 0.0797397i
\(183\) 3037.99 1775.31i 1.22718 0.717128i
\(184\) 4.73493 8.20113i 0.00189708 0.00328584i
\(185\) 224.472 + 388.797i 0.0892082 + 0.154513i
\(186\) −2940.99 + 5156.25i −1.15938 + 2.03266i
\(187\) −884.252 510.523i −0.345791 0.199642i
\(188\) −1741.90 −0.675750
\(189\) 128.921 + 2595.12i 0.0496169 + 0.998768i
\(190\) −551.429 −0.210552
\(191\) −2142.24 1236.82i −0.811554 0.468551i 0.0359413 0.999354i \(-0.488557\pi\)
−0.847495 + 0.530803i \(0.821890\pi\)
\(192\) −1529.92 + 2682.30i −0.575064 + 1.00822i
\(193\) 839.123 + 1453.40i 0.312961 + 0.542064i 0.979002 0.203851i \(-0.0653459\pi\)
−0.666041 + 0.745915i \(0.732013\pi\)
\(194\) −62.1509 + 107.649i −0.0230009 + 0.0398387i
\(195\) 123.465 72.1490i 0.0453410 0.0264959i
\(196\) −1658.60 2469.77i −0.604448 0.900061i
\(197\) 4518.62i 1.63420i 0.576493 + 0.817102i \(0.304421\pi\)
−0.576493 + 0.817102i \(0.695579\pi\)
\(198\) 475.211 + 803.494i 0.170565 + 0.288393i
\(199\) 442.348 255.390i 0.157574 0.0909754i −0.419140 0.907922i \(-0.637668\pi\)
0.576714 + 0.816946i \(0.304335\pi\)
\(200\) 59.5430 34.3772i 0.0210516 0.0121542i
\(201\) 4010.66 21.0485i 1.40742 0.00738629i
\(202\) 3962.54i 1.38021i
\(203\) −1346.76 + 45.6632i −0.465634 + 0.0157878i
\(204\) −2742.07 4692.35i −0.941093 1.61044i
\(205\) 553.127 958.044i 0.188449 0.326403i
\(206\) −2112.06 3658.19i −0.714340 1.23727i
\(207\) 0.975818 + 92.9657i 0.000327652 + 0.0312153i
\(208\) 277.221 + 160.054i 0.0924127 + 0.0533545i
\(209\) −228.689 −0.0756877
\(210\) 1963.27 76.8838i 0.645135 0.0252642i
\(211\) −2859.26 −0.932889 −0.466444 0.884550i \(-0.654465\pi\)
−0.466444 + 0.884550i \(0.654465\pi\)
\(212\) −549.875 317.471i −0.178140 0.102849i
\(213\) 3616.53 + 2062.78i 1.16338 + 0.663564i
\(214\) −705.241 1221.51i −0.225277 0.390191i
\(215\) −1238.21 + 2144.65i −0.392769 + 0.680296i
\(216\) 6.07448 + 385.791i 0.00191350 + 0.121527i
\(217\) 2741.27 + 4396.86i 0.857555 + 1.37548i
\(218\) 3119.49i 0.969166i
\(219\) 27.7659 + 5290.63i 0.00856733 + 1.63246i
\(220\) 318.005 183.600i 0.0974541 0.0562652i
\(221\) −574.807 + 331.865i −0.174958 + 0.101012i
\(222\) 9.99806 + 1905.07i 0.00302264 + 0.575947i
\(223\) 45.7328i 0.0137332i −0.999976 0.00686658i \(-0.997814\pi\)
0.999976 0.00686658i \(-0.00218572\pi\)
\(224\) 2542.47 + 4077.99i 0.758375 + 1.21640i
\(225\) −331.346 + 588.077i −0.0981765 + 0.174245i
\(226\) 2300.96 3985.39i 0.677247 1.17303i
\(227\) −285.201 493.982i −0.0833896 0.144435i 0.821314 0.570476i \(-0.193241\pi\)
−0.904704 + 0.426041i \(0.859908\pi\)
\(228\) −1057.36 603.089i −0.307128 0.175178i
\(229\) −4897.01 2827.29i −1.41311 0.815862i −0.417434 0.908707i \(-0.637071\pi\)
−0.995681 + 0.0928450i \(0.970404\pi\)
\(230\) 70.3018 0.0201546
\(231\) 814.207 31.8852i 0.231909 0.00908180i
\(232\) −200.102 −0.0566265
\(233\) 588.268 + 339.637i 0.165402 + 0.0954951i 0.580416 0.814320i \(-0.302890\pi\)
−0.415014 + 0.909815i \(0.636223\pi\)
\(234\) 606.790 6.36919i 0.169517 0.00177935i
\(235\) −502.074 869.617i −0.139369 0.241394i
\(236\) −1565.24 + 2711.08i −0.431732 + 0.747781i
\(237\) 507.963 + 869.251i 0.139223 + 0.238244i
\(238\) −9114.19 + 309.026i −2.48229 + 0.0841646i
\(239\) 211.837i 0.0573332i 0.999589 + 0.0286666i \(0.00912611\pi\)
−0.999589 + 0.0286666i \(0.990874\pi\)
\(240\) −1510.98 + 7.92978i −0.406388 + 0.00213277i
\(241\) −99.2273 + 57.2889i −0.0265220 + 0.0153125i −0.513202 0.858268i \(-0.671541\pi\)
0.486680 + 0.873580i \(0.338208\pi\)
\(242\) −4453.24 + 2571.08i −1.18291 + 0.682955i
\(243\) −1979.42 3229.68i −0.522550 0.852609i
\(244\) 5873.44i 1.54102i
\(245\) 754.930 1539.90i 0.196860 0.401555i
\(246\) 4053.10 2368.50i 1.05047 0.613863i
\(247\) −74.3295 + 128.742i −0.0191477 + 0.0331647i
\(248\) 384.707 + 666.332i 0.0985038 + 0.170614i
\(249\) 3654.81 6407.75i 0.930178 1.63082i
\(250\) 442.033 + 255.208i 0.111826 + 0.0645630i
\(251\) −6671.72 −1.67775 −0.838875 0.544324i \(-0.816786\pi\)
−0.838875 + 0.544324i \(0.816786\pi\)
\(252\) 3848.62 + 1999.77i 0.962066 + 0.499896i
\(253\) 29.1556 0.00724504
\(254\) 6736.25 + 3889.17i 1.66405 + 0.960742i
\(255\) 1552.23 2721.43i 0.381195 0.668324i
\(256\) −1660.94 2876.83i −0.405502 0.702351i
\(257\) −1173.99 + 2033.40i −0.284946 + 0.493542i −0.972596 0.232501i \(-0.925309\pi\)
0.687650 + 0.726043i \(0.258642\pi\)
\(258\) −9073.14 + 5302.06i −2.18941 + 1.27943i
\(259\) 1467.47 + 782.178i 0.352063 + 0.187653i
\(260\) 238.699i 0.0569364i
\(261\) 1690.92 1000.06i 0.401016 0.237173i
\(262\) 7229.26 4173.82i 1.70468 0.984196i
\(263\) 6281.95 3626.88i 1.47286 0.850354i 0.473323 0.880889i \(-0.343054\pi\)
0.999534 + 0.0305344i \(0.00972091\pi\)
\(264\) 120.997 0.635007i 0.0282078 0.000148038i
\(265\) 366.023i 0.0848476i
\(266\) −1733.25 + 1080.62i −0.399521 + 0.249086i
\(267\) −1629.27 2788.08i −0.373444 0.639056i
\(268\) 3347.38 5797.84i 0.762963 1.32149i
\(269\) −797.075 1380.57i −0.180664 0.312918i 0.761443 0.648232i \(-0.224491\pi\)
−0.942107 + 0.335313i \(0.891158\pi\)
\(270\) −2457.76 + 1471.06i −0.553980 + 0.331578i
\(271\) −2302.55 1329.38i −0.516124 0.297984i 0.219223 0.975675i \(-0.429648\pi\)
−0.735347 + 0.677690i \(0.762981\pi\)
\(272\) 7013.23 1.56338
\(273\) 246.687 468.729i 0.0546893 0.103915i
\(274\) 639.697 0.141042
\(275\) 183.320 + 105.840i 0.0401985 + 0.0232086i
\(276\) 134.803 + 76.8879i 0.0293992 + 0.0167685i
\(277\) −261.315 452.611i −0.0566820 0.0981760i 0.836292 0.548284i \(-0.184719\pi\)
−0.892974 + 0.450108i \(0.851385\pi\)
\(278\) 2147.18 3719.03i 0.463235 0.802347i
\(279\) −6581.04 3708.02i −1.41217 0.795674i
\(280\) 119.788 224.739i 0.0255668 0.0479668i
\(281\) 3626.44i 0.769876i 0.922943 + 0.384938i \(0.125777\pi\)
−0.922943 + 0.384938i \(0.874223\pi\)
\(282\) −22.3625 4261.05i −0.00472223 0.899795i
\(283\) 720.958 416.246i 0.151437 0.0874319i −0.422367 0.906425i \(-0.638801\pi\)
0.573804 + 0.818993i \(0.305467\pi\)
\(284\) 6018.63 3474.86i 1.25754 0.726038i
\(285\) −3.68261 701.701i −0.000765401 0.145843i
\(286\) 190.299i 0.0393448i
\(287\) −138.854 4095.27i −0.0285586 0.842286i
\(288\) −6103.78 3439.11i −1.24885 0.703651i
\(289\) −4814.33 + 8338.66i −0.979916 + 1.69726i
\(290\) −742.754 1286.49i −0.150400 0.260501i
\(291\) −137.399 78.3690i −0.0276787 0.0157872i
\(292\) 7648.17 + 4415.67i 1.53279 + 0.884958i
\(293\) −1490.52 −0.297191 −0.148595 0.988898i \(-0.547475\pi\)
−0.148595 + 0.988898i \(0.547475\pi\)
\(294\) 6020.28 4089.01i 1.19425 0.811142i
\(295\) −1804.62 −0.356167
\(296\) 213.852 + 123.467i 0.0419929 + 0.0242446i
\(297\) −1019.28 + 610.079i −0.199141 + 0.119193i
\(298\) 2227.86 + 3858.76i 0.433075 + 0.750108i
\(299\) 9.47627 16.4134i 0.00183287 0.00317462i
\(300\) 568.474 + 972.800i 0.109403 + 0.187216i
\(301\) 310.835 + 9167.54i 0.0595223 + 1.75551i
\(302\) 13658.3i 2.60247i
\(303\) −5042.39 + 26.4631i −0.956031 + 0.00501737i
\(304\) 1360.34 785.394i 0.256648 0.148176i
\(305\) 2932.23 1692.92i 0.550489 0.317825i
\(306\) 11443.3 6767.92i 2.13781 1.26437i
\(307\) 9583.15i 1.78156i 0.454434 + 0.890780i \(0.349841\pi\)
−0.454434 + 0.890780i \(0.650159\pi\)
\(308\) 639.760 1200.28i 0.118356 0.222052i
\(309\) 4640.99 2712.05i 0.854423 0.499298i
\(310\) −2855.97 + 4946.69i −0.523252 + 0.906300i
\(311\) 1149.87 + 1991.63i 0.209656 + 0.363136i 0.951606 0.307320i \(-0.0994321\pi\)
−0.741950 + 0.670455i \(0.766099\pi\)
\(312\) 38.9695 68.3228i 0.00707120 0.0123975i
\(313\) 4770.46 + 2754.23i 0.861478 + 0.497374i 0.864507 0.502621i \(-0.167631\pi\)
−0.00302927 + 0.999995i \(0.500964\pi\)
\(314\) −8570.97 −1.54041
\(315\) 110.947 + 2497.77i 0.0198449 + 0.446773i
\(316\) 1680.55 0.299172
\(317\) −3604.26 2080.92i −0.638598 0.368694i 0.145477 0.989362i \(-0.453528\pi\)
−0.784074 + 0.620667i \(0.786862\pi\)
\(318\) 769.541 1349.19i 0.135704 0.237920i
\(319\) −308.035 533.532i −0.0540647 0.0936428i
\(320\) −1485.69 + 2573.29i −0.259539 + 0.449535i
\(321\) 1549.68 905.587i 0.269454 0.157461i
\(322\) 220.973 137.768i 0.0382433 0.0238432i
\(323\) 3256.97i 0.561060i
\(324\) −6321.60 + 132.724i −1.08395 + 0.0227579i
\(325\) 119.167 68.8010i 0.0203390 0.0117427i
\(326\) 8831.68 5098.97i 1.50043 0.866276i
\(327\) −3969.59 + 20.8329i −0.671311 + 0.00352312i
\(328\) 608.478i 0.102432i
\(329\) −3282.28 1749.49i −0.550024 0.293168i
\(330\) 453.208 + 775.552i 0.0756009 + 0.129372i
\(331\) −2185.70 + 3785.75i −0.362952 + 0.628651i −0.988445 0.151578i \(-0.951564\pi\)
0.625493 + 0.780229i \(0.284898\pi\)
\(332\) −6156.73 10663.8i −1.01775 1.76280i
\(333\) −2424.17 + 25.4453i −0.398929 + 0.00418737i
\(334\) 11773.3 + 6797.31i 1.92876 + 1.11357i
\(335\) 3859.32 0.629424
\(336\) −4733.76 + 2985.93i −0.768595 + 0.484809i
\(337\) −3888.74 −0.628584 −0.314292 0.949326i \(-0.601767\pi\)
−0.314292 + 0.949326i \(0.601767\pi\)
\(338\) 7662.03 + 4423.68i 1.23302 + 0.711883i
\(339\) 5086.83 + 2901.39i 0.814981 + 0.464844i
\(340\) −2614.82 4529.00i −0.417084 0.722411i
\(341\) −1184.43 + 2051.49i −0.188095 + 0.325790i
\(342\) 1461.71 2594.27i 0.231112 0.410181i
\(343\) −644.799 6319.64i −0.101504 0.994835i
\(344\) 1362.12i 0.213490i
\(345\) 0.469497 + 89.4600i 7.32663e−5 + 0.0139605i
\(346\) −949.741 + 548.333i −0.147568 + 0.0851982i
\(347\) −8390.19 + 4844.08i −1.29801 + 0.749406i −0.980060 0.198702i \(-0.936327\pi\)
−0.317949 + 0.948108i \(0.602994\pi\)
\(348\) −17.2094 3279.16i −0.00265092 0.505119i
\(349\) 5564.36i 0.853447i −0.904382 0.426724i \(-0.859668\pi\)
0.904382 0.426724i \(-0.140332\pi\)
\(350\) 1889.52 64.0661i 0.288569 0.00978422i
\(351\) 12.1572 + 772.105i 0.00184873 + 0.117413i
\(352\) −1098.53 + 1902.71i −0.166341 + 0.288111i
\(353\) 3784.55 + 6555.03i 0.570627 + 0.988355i 0.996502 + 0.0835727i \(0.0266331\pi\)
−0.425875 + 0.904782i \(0.640034\pi\)
\(354\) −6651.98 3794.11i −0.998725 0.569647i
\(355\) 3469.55 + 2003.14i 0.518716 + 0.299481i
\(356\) −5390.29 −0.802485
\(357\) −454.107 11595.9i −0.0673218 1.71910i
\(358\) 6941.18 1.02473
\(359\) −8900.82 5138.89i −1.30854 0.755488i −0.326691 0.945131i \(-0.605934\pi\)
−0.981853 + 0.189643i \(0.939267\pi\)
\(360\) 3.89687 + 371.253i 0.000570509 + 0.0543521i
\(361\) −3064.76 5308.32i −0.446823 0.773921i
\(362\) 5358.62 9281.41i 0.778019 1.34757i
\(363\) −3301.47 5649.63i −0.477362 0.816884i
\(364\) −467.769 750.278i −0.0673565 0.108036i
\(365\) 5090.98i 0.730067i
\(366\) 14367.7 75.4034i 2.05194 0.0107689i
\(367\) 5323.65 3073.61i 0.757199 0.437169i −0.0710901 0.997470i \(-0.522648\pi\)
0.828289 + 0.560301i \(0.189314\pi\)
\(368\) −173.430 + 100.130i −0.0245671 + 0.0141838i
\(369\) 3041.02 + 5141.80i 0.429022 + 0.725397i
\(370\) 1833.18i 0.257575i
\(371\) −717.282 1150.48i −0.100376 0.160998i
\(372\) −10886.4 + 6361.67i −1.51729 + 0.886659i
\(373\) 4214.93 7300.47i 0.585096 1.01342i −0.409768 0.912190i \(-0.634390\pi\)
0.994864 0.101225i \(-0.0322764\pi\)
\(374\) −2084.63 3610.68i −0.288218 0.499209i
\(375\) −321.803 + 564.197i −0.0443142 + 0.0776933i
\(376\) −478.320 276.158i −0.0656050 0.0378770i
\(377\) −400.476 −0.0547097
\(378\) −4842.46 + 9440.23i −0.658913 + 1.28453i
\(379\) −7676.46 −1.04040 −0.520202 0.854043i \(-0.674143\pi\)
−0.520202 + 0.854043i \(0.674143\pi\)
\(380\) −1014.38 585.654i −0.136939 0.0790617i
\(381\) −4904.04 + 8597.94i −0.659427 + 1.15613i
\(382\) −5050.34 8747.44i −0.676434 1.17162i
\(383\) 5802.30 10049.9i 0.774109 1.34080i −0.161186 0.986924i \(-0.551532\pi\)
0.935294 0.353871i \(-0.115135\pi\)
\(384\) −1573.68 + 919.611i −0.209132 + 0.122210i
\(385\) 783.621 26.5695i 0.103733 0.00351716i
\(386\) 6852.82i 0.903625i
\(387\) −6807.54 11510.3i −0.894177 1.51189i
\(388\) −228.660 + 132.017i −0.0299187 + 0.0172735i
\(389\) −694.507 + 400.974i −0.0905217 + 0.0522627i −0.544578 0.838711i \(-0.683310\pi\)
0.454056 + 0.890973i \(0.349977\pi\)
\(390\) 583.908 3.06442i 0.0758136 0.000397879i
\(391\) 415.231i 0.0537062i
\(392\) −63.8943 941.143i −0.00823253 0.121263i
\(393\) 5359.52 + 9171.46i 0.687918 + 1.17720i
\(394\) −9225.49 + 15979.0i −1.17963 + 2.04318i
\(395\) 484.391 + 838.991i 0.0617022 + 0.106871i
\(396\) 20.8123 + 1982.78i 0.00264105 + 0.251612i
\(397\) −7984.56 4609.89i −1.00940 0.582780i −0.0983871 0.995148i \(-0.531368\pi\)
−0.911017 + 0.412368i \(0.864702\pi\)
\(398\) 2085.68 0.262677
\(399\) −1386.67 2198.37i −0.173986 0.275830i
\(400\) −1453.96 −0.181745
\(401\) 1886.94 + 1089.43i 0.234986 + 0.135669i 0.612870 0.790184i \(-0.290015\pi\)
−0.377884 + 0.925853i \(0.623348\pi\)
\(402\) 14225.7 + 8113.98i 1.76496 + 1.00669i
\(403\) 769.936 + 1333.57i 0.0951694 + 0.164838i
\(404\) −4208.48 + 7289.30i −0.518267 + 0.897664i
\(405\) −1888.36 3117.71i −0.231687 0.382519i
\(406\) −4855.71 2588.14i −0.593559 0.316373i
\(407\) 760.258i 0.0925911i
\(408\) −9.04372 1723.23i −0.00109738 0.209099i
\(409\) 2406.40 1389.34i 0.290926 0.167966i −0.347433 0.937705i \(-0.612947\pi\)
0.638360 + 0.769738i \(0.279613\pi\)
\(410\) 3912.00 2258.59i 0.471219 0.272059i
\(411\) 4.27209 + 814.022i 0.000512717 + 0.0976953i
\(412\) 8972.58i 1.07293i
\(413\) −5672.30 + 3536.46i −0.675825 + 0.421350i
\(414\) −186.354 + 330.743i −0.0221227 + 0.0392636i
\(415\) 3549.15 6147.32i 0.419810 0.727132i
\(416\) 714.100 + 1236.86i 0.0841626 + 0.145774i
\(417\) 4746.85 + 2707.48i 0.557445 + 0.317952i
\(418\) −808.703 466.905i −0.0946291 0.0546341i
\(419\) −2105.13 −0.245448 −0.122724 0.992441i \(-0.539163\pi\)
−0.122724 + 0.992441i \(0.539163\pi\)
\(420\) 3693.19 + 1943.69i 0.429070 + 0.225815i
\(421\) −913.228 −0.105720 −0.0528599 0.998602i \(-0.516834\pi\)
−0.0528599 + 0.998602i \(0.516834\pi\)
\(422\) −10111.1 5837.64i −1.16635 0.673393i
\(423\) 5422.10 56.9132i 0.623242 0.00654188i
\(424\) −100.663 174.353i −0.0115297 0.0199701i
\(425\) 1507.36 2610.82i 0.172042 0.297985i
\(426\) 8577.51 + 14678.2i 0.975544 + 1.66940i
\(427\) 5899.03 11067.4i 0.668558 1.25431i
\(428\) 2996.05i 0.338364i
\(429\) 242.158 1.27088i 0.0272529 0.000143027i
\(430\) −8757.28 + 5056.02i −0.982125 + 0.567030i
\(431\) 11007.2 6355.00i 1.23016 0.710231i 0.263093 0.964770i \(-0.415257\pi\)
0.967062 + 0.254540i \(0.0819240\pi\)
\(432\) 3967.94 7129.58i 0.441915 0.794033i
\(433\) 3578.00i 0.397108i 0.980090 + 0.198554i \(0.0636245\pi\)
−0.980090 + 0.198554i \(0.936375\pi\)
\(434\) 716.949 + 21145.2i 0.0792964 + 2.33871i
\(435\) 1632.11 953.756i 0.179894 0.105124i
\(436\) −3313.10 + 5738.46i −0.363919 + 0.630326i
\(437\) −46.5007 80.5415i −0.00509023 0.00881653i
\(438\) −10703.5 + 18765.7i −1.16765 + 2.04717i
\(439\) 11240.4 + 6489.62i 1.22203 + 0.705542i 0.965351 0.260954i \(-0.0840371\pi\)
0.256683 + 0.966496i \(0.417370\pi\)
\(440\) 116.431 0.0126151
\(441\) 5243.52 + 7633.58i 0.566194 + 0.824272i
\(442\) −2710.22 −0.291657
\(443\) 9761.27 + 5635.67i 1.04689 + 0.604421i 0.921777 0.387721i \(-0.126738\pi\)
0.125112 + 0.992143i \(0.460071\pi\)
\(444\) −2004.92 + 3515.10i −0.214300 + 0.375719i
\(445\) −1553.66 2691.02i −0.165507 0.286667i
\(446\) 93.3708 161.723i 0.00991308 0.0171700i
\(447\) −4895.45 + 2860.75i −0.518002 + 0.302704i
\(448\) 372.960 + 10999.8i 0.0393319 + 1.16003i
\(449\) 14311.8i 1.50427i −0.659012 0.752133i \(-0.729025\pi\)
0.659012 0.752133i \(-0.270975\pi\)
\(450\) −2372.38 + 1403.10i −0.248522 + 0.146984i
\(451\) 1622.38 936.684i 0.169391 0.0977977i
\(452\) 8465.49 4887.55i 0.880936 0.508609i
\(453\) −17380.3 + 91.2141i −1.80265 + 0.00946051i
\(454\) 2329.13i 0.240774i
\(455\) 239.739 449.782i 0.0247014 0.0463431i
\(456\) −194.734 333.239i −0.0199984 0.0342222i
\(457\) 810.931 1404.57i 0.0830061 0.143771i −0.821534 0.570160i \(-0.806881\pi\)
0.904540 + 0.426389i \(0.140215\pi\)
\(458\) −11544.7 19996.0i −1.17784 2.04007i
\(459\) 8688.69 + 14516.5i 0.883558 + 1.47620i
\(460\) 129.324 + 74.6652i 0.0131082 + 0.00756800i
\(461\) −18238.0 −1.84258 −0.921290 0.388877i \(-0.872863\pi\)
−0.921290 + 0.388877i \(0.872863\pi\)
\(462\) 2944.35 + 1549.58i 0.296501 + 0.156045i
\(463\) −14765.4 −1.48209 −0.741046 0.671455i \(-0.765670\pi\)
−0.741046 + 0.671455i \(0.765670\pi\)
\(464\) 3664.66 + 2115.79i 0.366654 + 0.211688i
\(465\) −6313.80 3601.22i −0.629667 0.359146i
\(466\) 1386.85 + 2402.09i 0.137864 + 0.238787i
\(467\) −3767.85 + 6526.10i −0.373352 + 0.646664i −0.990079 0.140513i \(-0.955125\pi\)
0.616727 + 0.787177i \(0.288458\pi\)
\(468\) 1122.99 + 632.734i 0.110919 + 0.0624960i
\(469\) 12130.6 7562.96i 1.19433 0.744617i
\(470\) 4100.26i 0.402406i
\(471\) −57.2396 10906.7i −0.00559970 1.06699i
\(472\) −859.622 + 496.303i −0.0838291 + 0.0483987i
\(473\) −3631.82 + 2096.83i −0.353047 + 0.203832i
\(474\) 21.5750 + 4110.99i 0.00209065 + 0.398362i
\(475\) 675.222i 0.0652238i
\(476\) −17094.2 9111.40i −1.64604 0.877354i
\(477\) 1722.00 + 970.241i 0.165293 + 0.0931327i
\(478\) −432.500 + 749.112i −0.0413851 + 0.0716812i
\(479\) −1641.79 2843.66i −0.156608 0.271253i 0.777035 0.629457i \(-0.216723\pi\)
−0.933643 + 0.358204i \(0.883389\pi\)
\(480\) −5855.92 3340.06i −0.556843 0.317609i
\(481\) 427.994 + 247.102i 0.0405714 + 0.0234239i
\(482\) −467.858 −0.0442123
\(483\) 176.787 + 280.271i 0.0166544 + 0.0264032i
\(484\) −10922.6 −1.02579
\(485\) −131.815 76.1034i −0.0123410 0.00712511i
\(486\) −405.829 15462.3i −0.0378781 1.44318i
\(487\) 5107.21 + 8845.95i 0.475215 + 0.823097i 0.999597 0.0283864i \(-0.00903690\pi\)
−0.524382 + 0.851483i \(0.675704\pi\)
\(488\) 931.168 1612.83i 0.0863770 0.149609i
\(489\) 6547.49 + 11204.4i 0.605497 + 1.03615i
\(490\) 5813.59 3904.19i 0.535982 0.359946i
\(491\) 1347.56i 0.123858i −0.998081 0.0619292i \(-0.980275\pi\)
0.998081 0.0619292i \(-0.0197253\pi\)
\(492\) 9971.39 52.3311i 0.913709 0.00479526i
\(493\) −7598.52 + 4387.01i −0.694158 + 0.400772i
\(494\) −525.697 + 303.511i −0.0478790 + 0.0276429i
\(495\) −983.873 + 581.893i −0.0893370 + 0.0528367i
\(496\) 16270.9i 1.47295i
\(497\) 14831.0 502.859i 1.33855 0.0453849i
\(498\) 26006.8 15197.6i 2.34015 1.36751i
\(499\) 6255.74 10835.3i 0.561213 0.972050i −0.436178 0.899861i \(-0.643668\pi\)
0.997391 0.0721893i \(-0.0229986\pi\)
\(500\) 542.095 + 938.935i 0.0484864 + 0.0839809i
\(501\) −8571.04 + 15027.1i −0.764323 + 1.34004i
\(502\) −23592.9 13621.4i −2.09762 1.21106i
\(503\) 3030.57 0.268641 0.134320 0.990938i \(-0.457115\pi\)
0.134320 + 0.990938i \(0.457115\pi\)
\(504\) 739.780 + 1159.29i 0.0653818 + 0.102458i
\(505\) −4852.10 −0.427556
\(506\) 103.102 + 59.5258i 0.00905816 + 0.00522973i
\(507\) −5578.02 + 9779.58i −0.488616 + 0.856660i
\(508\) 8261.12 + 14308.7i 0.721512 + 1.24969i
\(509\) 6228.25 10787.7i 0.542362 0.939399i −0.456405 0.889772i \(-0.650863\pi\)
0.998768 0.0496273i \(-0.0158034\pi\)
\(510\) 11045.3 6454.55i 0.959011 0.560417i
\(511\) 9976.62 + 16002.0i 0.863678 + 1.38530i
\(512\) 16370.5i 1.41305i
\(513\) 3311.00 + 1842.72i 0.284959 + 0.158593i
\(514\) −8303.04 + 4793.76i −0.712512 + 0.411369i
\(515\) 4479.43 2586.20i 0.383276 0.221285i
\(516\) −22321.6 + 117.147i −1.90437 + 0.00999437i
\(517\) 1700.46i 0.144654i
\(518\) 3592.42 + 5762.07i 0.304714 + 0.488746i
\(519\) −704.104 1204.90i −0.0595506 0.101906i
\(520\) 37.8429 65.5459i 0.00319139 0.00552765i
\(521\) 3119.32 + 5402.82i 0.262303 + 0.454322i 0.966854 0.255332i \(-0.0821847\pi\)
−0.704551 + 0.709654i \(0.748851\pi\)
\(522\) 8021.30 84.1958i 0.672572 0.00705968i
\(523\) −6897.77 3982.43i −0.576708 0.332962i 0.183116 0.983091i \(-0.441382\pi\)
−0.759824 + 0.650129i \(0.774715\pi\)
\(524\) 17731.5 1.47825
\(525\) 94.1437 + 2404.01i 0.00782623 + 0.199847i
\(526\) 29619.5 2.45527
\(527\) 29217.1 + 16868.5i 2.41503 + 1.39432i
\(528\) −2222.65 1267.74i −0.183197 0.104491i
\(529\) −6077.57 10526.7i −0.499513 0.865181i
\(530\) 747.295 1294.35i 0.0612461 0.106081i
\(531\) 4783.64 8490.07i 0.390946 0.693856i
\(532\) −4336.10 + 147.020i −0.353372 + 0.0119814i
\(533\) 1217.78i 0.0989643i
\(534\) −69.2007 13185.8i −0.00560788 1.06855i
\(535\) 1495.74 863.563i 0.120872 0.0697852i
\(536\) 1838.36 1061.38i 0.148144 0.0855310i
\(537\) 46.3553 + 8832.75i 0.00372510 + 0.709797i
\(538\) 6509.42i 0.521638i
\(539\) 2411.01 1619.15i 0.192671 0.129391i
\(540\) −6083.55 + 95.7886i −0.484804 + 0.00763349i
\(541\) 3018.33 5227.90i 0.239867 0.415462i −0.720809 0.693134i \(-0.756229\pi\)
0.960676 + 0.277672i \(0.0895627\pi\)
\(542\) −5428.27 9402.03i −0.430192 0.745114i
\(543\) 11846.5 + 6756.94i 0.936247 + 0.534011i
\(544\) 27098.3 + 15645.2i 2.13572 + 1.23306i
\(545\) −3819.79 −0.300224
\(546\) 1829.33 1153.89i 0.143385 0.0904435i
\(547\) 620.134 0.0484735 0.0242368 0.999706i \(-0.492284\pi\)
0.0242368 + 0.999706i \(0.492284\pi\)
\(548\) 1176.76 + 679.400i 0.0917308 + 0.0529608i
\(549\) 191.904 + 18282.6i 0.0149185 + 1.42128i
\(550\) 432.177 + 748.553i 0.0335057 + 0.0580335i
\(551\) −982.580 + 1701.88i −0.0759697 + 0.131583i
\(552\) 24.8267 + 42.4846i 0.00191430 + 0.00327584i
\(553\) 3166.68 + 1687.87i 0.243510 + 0.129793i
\(554\) 2134.07i 0.163660i
\(555\) −2332.75 + 12.2426i −0.178414 + 0.000936338i
\(556\) 7899.71 4560.90i 0.602558 0.347887i
\(557\) −863.961 + 498.808i −0.0657221 + 0.0379447i −0.532501 0.846429i \(-0.678748\pi\)
0.466779 + 0.884374i \(0.345414\pi\)
\(558\) −15701.8 26548.8i −1.19123 2.01416i
\(559\) 2726.09i 0.206263i
\(560\) −4570.08 + 2849.27i −0.344859 + 0.215006i
\(561\) 4580.72 2676.83i 0.344738 0.201454i
\(562\) −7403.95 + 12824.0i −0.555724 + 0.962542i
\(563\) −5884.96 10193.0i −0.440535 0.763030i 0.557194 0.830382i \(-0.311878\pi\)
−0.997729 + 0.0673528i \(0.978545\pi\)
\(564\) 4484.38 7862.18i 0.334799 0.586982i
\(565\) 4880.08 + 2817.52i 0.363374 + 0.209794i
\(566\) 3399.33 0.252446
\(567\) −12045.2 6099.05i −0.892150 0.451739i
\(568\) 2203.60 0.162783
\(569\) −12969.2 7487.79i −0.955534 0.551678i −0.0607380 0.998154i \(-0.519345\pi\)
−0.894796 + 0.446476i \(0.852679\pi\)
\(570\) 1419.61 2488.92i 0.104318 0.182893i
\(571\) −3729.38 6459.47i −0.273327 0.473416i 0.696385 0.717669i \(-0.254791\pi\)
−0.969712 + 0.244253i \(0.921457\pi\)
\(572\) 202.110 350.065i 0.0147739 0.0255891i
\(573\) 11097.5 6485.04i 0.809084 0.472804i
\(574\) 7870.12 14765.4i 0.572287 1.07369i
\(575\) 86.0841i 0.00624340i
\(576\) −8168.12 13810.8i −0.590865 0.999044i
\(577\) −15285.7 + 8825.21i −1.10286 + 0.636739i −0.936972 0.349405i \(-0.886384\pi\)
−0.165892 + 0.986144i \(0.553050\pi\)
\(578\) −34049.4 + 19658.4i −2.45029 + 1.41468i
\(579\) −8720.30 + 45.7652i −0.625912 + 0.00328486i
\(580\) 3155.41i 0.225899i
\(581\) −890.963 26277.4i −0.0636202 1.87637i
\(582\) −325.877 557.656i −0.0232097 0.0397175i
\(583\) 309.918 536.794i 0.0220163 0.0381333i
\(584\) 1400.11 + 2425.06i 0.0992071 + 0.171832i
\(585\) 7.79903 + 743.010i 0.000551197 + 0.0525123i
\(586\) −5270.85 3043.13i −0.371565 0.214523i
\(587\) 19139.8 1.34580 0.672900 0.739734i \(-0.265049\pi\)
0.672900 + 0.739734i \(0.265049\pi\)
\(588\) 15417.4 1128.00i 1.08130 0.0791125i
\(589\) 7556.25 0.528608
\(590\) −6381.62 3684.43i −0.445300 0.257094i
\(591\) −20395.1 11632.8i −1.41953 0.809664i
\(592\) −2610.98 4522.35i −0.181268 0.313966i
\(593\) −9205.87 + 15945.0i −0.637504 + 1.10419i 0.348475 + 0.937318i \(0.386700\pi\)
−0.985979 + 0.166871i \(0.946634\pi\)
\(594\) −4850.02 + 76.3662i −0.335015 + 0.00527499i
\(595\) −378.400 11160.3i −0.0260721 0.768952i
\(596\) 9464.53i 0.650473i
\(597\) 13.9288 + 2654.05i 0.000954887 + 0.181948i
\(598\) 67.0211 38.6947i 0.00458311 0.00264606i
\(599\) 9319.12 5380.39i 0.635674 0.367007i −0.147272 0.989096i \(-0.547049\pi\)
0.782946 + 0.622089i \(0.213716\pi\)
\(600\) 1.87491 + 357.253i 0.000127571 + 0.0243080i
\(601\) 16893.6i 1.14660i 0.819347 + 0.573298i \(0.194336\pi\)
−0.819347 + 0.573298i \(0.805664\pi\)
\(602\) −17617.8 + 33053.4i −1.19277 + 2.23780i
\(603\) −10230.1 + 18156.6i −0.690885 + 1.22619i
\(604\) −14506.0 + 25125.1i −0.977218 + 1.69259i
\(605\) −3148.27 5452.96i −0.211562 0.366437i
\(606\) −17885.2 10201.3i −1.19891 0.683825i
\(607\) 10522.5 + 6075.17i 0.703617 + 0.406233i 0.808693 0.588231i \(-0.200175\pi\)
−0.105076 + 0.994464i \(0.533509\pi\)
\(608\) 7008.27 0.467472
\(609\) 3261.02 6196.24i 0.216984 0.412289i
\(610\) 13825.5 0.917670
\(611\) −957.289 552.691i −0.0633842 0.0365949i
\(612\) 28238.5 296.406i 1.86515 0.0195776i
\(613\) 10068.8 + 17439.6i 0.663416 + 1.14907i 0.979712 + 0.200410i \(0.0642274\pi\)
−0.316296 + 0.948661i \(0.602439\pi\)
\(614\) −19565.5 + 33888.5i −1.28599 + 2.22741i
\(615\) 2900.22 + 4962.99i 0.190159 + 0.325410i
\(616\) 365.966 228.166i 0.0239370 0.0149238i
\(617\) 17281.4i 1.12759i −0.825914 0.563796i \(-0.809341\pi\)
0.825914 0.563796i \(-0.190659\pi\)
\(618\) 21948.8 115.190i 1.42866 0.00749778i
\(619\) −12324.5 + 7115.55i −0.800264 + 0.462033i −0.843563 0.537030i \(-0.819546\pi\)
0.0432995 + 0.999062i \(0.486213\pi\)
\(620\) −10507.4 + 6066.46i −0.680626 + 0.392959i
\(621\) −422.120 234.929i −0.0272771 0.0151809i
\(622\) 9390.58i 0.605350i
\(623\) −10157.0 5413.77i −0.653180 0.348151i
\(624\) −1436.10 + 839.213i −0.0921315 + 0.0538388i
\(625\) −312.500 + 541.266i −0.0200000 + 0.0346410i
\(626\) 11246.4 + 19479.3i 0.718045 + 1.24369i
\(627\) 588.742 1032.20i 0.0374993 0.0657452i
\(628\) −15766.8 9102.94i −1.00185 0.578418i
\(629\) 10827.5 0.686362
\(630\) −4707.27 + 9059.29i −0.297686 + 0.572906i
\(631\) −17950.2 −1.13247 −0.566233 0.824245i \(-0.691600\pi\)
−0.566233 + 0.824245i \(0.691600\pi\)
\(632\) 461.474 + 266.432i 0.0290450 + 0.0167692i
\(633\) 7360.95 12905.5i 0.462198 0.810342i
\(634\) −8497.07 14717.4i −0.532274 0.921926i
\(635\) −4762.27 + 8248.49i −0.297614 + 0.515482i
\(636\) 2848.54 1664.60i 0.177597 0.103782i
\(637\) −127.875 1883.56i −0.00795385 0.117158i
\(638\) 2515.61i 0.156103i
\(639\) −18621.0 + 11013.0i −1.15279 + 0.681797i
\(640\) −1518.90 + 876.937i −0.0938121 + 0.0541625i
\(641\) 2290.70 1322.53i 0.141150 0.0814929i −0.427762 0.903891i \(-0.640698\pi\)
0.568912 + 0.822399i \(0.307365\pi\)
\(642\) 7328.98 38.4634i 0.450548 0.00236453i
\(643\) 9632.67i 0.590786i 0.955376 + 0.295393i \(0.0954506\pi\)
−0.955376 + 0.295393i \(0.904549\pi\)
\(644\) 552.810 18.7436i 0.0338257 0.00114690i
\(645\) −6492.34 11110.0i −0.396334 0.678226i
\(646\) −6649.62 + 11517.5i −0.404993 + 0.701469i
\(647\) 6135.42 + 10626.9i 0.372810 + 0.645726i 0.989997 0.141091i \(-0.0450609\pi\)
−0.617187 + 0.786817i \(0.711728\pi\)
\(648\) −1756.93 965.772i −0.106511 0.0585480i
\(649\) −2646.59 1528.01i −0.160073 0.0924183i
\(650\) 561.873 0.0339054
\(651\) −26902.7 + 1053.54i −1.61966 + 0.0634278i
\(652\) 21661.8 1.30114
\(653\) 7275.75 + 4200.66i 0.436022 + 0.251737i 0.701909 0.712267i \(-0.252331\pi\)
−0.265887 + 0.964004i \(0.585665\pi\)
\(654\) −14080.0 8030.88i −0.841854 0.480172i
\(655\) 5110.81 + 8852.19i 0.304879 + 0.528066i
\(656\) −6433.78 + 11143.6i −0.382922 + 0.663241i
\(657\) −23951.1 13495.0i −1.42226 0.801355i
\(658\) −8035.13 12887.9i −0.476051 0.763563i
\(659\) 29704.2i 1.75586i 0.478792 + 0.877929i \(0.341075\pi\)
−0.478792 + 0.877929i \(0.658925\pi\)
\(660\) 10.0134 + 1908.00i 0.000590565 + 0.112529i
\(661\) −1377.33 + 795.203i −0.0810469 + 0.0467924i −0.539976 0.841681i \(-0.681567\pi\)
0.458929 + 0.888473i \(0.348233\pi\)
\(662\) −15458.4 + 8924.93i −0.907566 + 0.523984i
\(663\) −18.0997 3448.80i −0.00106023 0.202021i
\(664\) 3904.32i 0.228188i
\(665\) −1323.21 2122.36i −0.0771606 0.123762i
\(666\) −8624.43 4859.34i −0.501787 0.282726i
\(667\) 125.269 216.973i 0.00727203 0.0125955i
\(668\) 14438.4 + 25008.0i 0.836284 + 1.44849i
\(669\) 206.418 + 117.736i 0.0119291 + 0.00680407i
\(670\) 13647.5 + 7879.42i 0.786942 + 0.454341i
\(671\) 5733.72 0.329877
\(672\) −24951.7 + 977.137i −1.43234 + 0.0560921i
\(673\) 12890.7 0.738338 0.369169 0.929362i \(-0.379642\pi\)
0.369169 + 0.929362i \(0.379642\pi\)
\(674\) −13751.6 7939.48i −0.785892 0.453735i
\(675\) −1801.31 3009.51i −0.102714 0.171609i
\(676\) 9396.47 + 16275.2i 0.534620 + 0.925988i
\(677\) 1264.76 2190.62i 0.0718000 0.124361i −0.827890 0.560890i \(-0.810459\pi\)
0.899690 + 0.436529i \(0.143792\pi\)
\(678\) 12064.7 + 20645.7i 0.683394 + 1.16946i
\(679\) −563.458 + 19.1046i −0.0318461 + 0.00107978i
\(680\) 1658.20i 0.0935134i
\(681\) 2963.85 15.5547i 0.166777 0.000875266i
\(682\) −8376.89 + 4836.40i −0.470334 + 0.271547i
\(683\) 9705.06 5603.22i 0.543710 0.313911i −0.202871 0.979205i \(-0.565027\pi\)
0.746581 + 0.665294i \(0.231694\pi\)
\(684\) 5444.17 3219.85i 0.304332 0.179991i
\(685\) 783.304i 0.0436913i
\(686\) 10622.4 23664.3i 0.591202 1.31707i
\(687\) 25368.1 14824.4i 1.40881 0.823267i
\(688\) 14402.5 24945.8i 0.798094 1.38234i
\(689\) −201.462 348.942i −0.0111395 0.0192941i
\(690\) −180.987 + 317.312i −0.00998557 + 0.0175071i
\(691\) 6536.69 + 3773.96i 0.359866 + 0.207769i 0.669022 0.743243i \(-0.266713\pi\)
−0.309156 + 0.951011i \(0.600046\pi\)
\(692\) −2329.47 −0.127967
\(693\) −1952.20 + 3757.07i −0.107010 + 0.205944i
\(694\) −39559.9 −2.16379
\(695\) 4553.93 + 2629.21i 0.248547 + 0.143499i
\(696\) 515.148 903.175i 0.0280555 0.0491879i
\(697\) −13340.2 23105.9i −0.724957 1.25566i
\(698\) 11360.5 19677.0i 0.616049 1.06703i
\(699\) −3047.43 + 1780.82i −0.164899 + 0.0963618i
\(700\) 3543.91 + 1888.94i 0.191353 + 0.101993i
\(701\) 6104.85i 0.328926i −0.986383 0.164463i \(-0.947411\pi\)
0.986383 0.164463i \(-0.0525891\pi\)
\(702\) −1533.39 + 2755.19i −0.0824415 + 0.148131i
\(703\) 2100.19 1212.55i 0.112675 0.0650528i
\(704\) −4357.70 + 2515.92i −0.233291 + 0.134691i
\(705\) 5217.63 27.3828i 0.278734 0.00146283i
\(706\) 30907.1i 1.64760i
\(707\) −15251.1 + 9508.49i −0.811285 + 0.505804i
\(708\) −8207.06 14044.3i −0.435650 0.745505i
\(709\) 9505.45 16463.9i 0.503505 0.872096i −0.496487 0.868044i \(-0.665377\pi\)
0.999992 0.00405149i \(-0.00128963\pi\)
\(710\) 8179.48 + 14167.3i 0.432352 + 0.748856i
\(711\) −5231.14 + 54.9088i −0.275926 + 0.00289626i
\(712\) −1480.16 854.569i −0.0779090 0.0449808i
\(713\) −963.348 −0.0505998
\(714\) 22069.0 41933.1i 1.15674 2.19791i
\(715\) 233.020 0.0121880
\(716\) 12768.7 + 7371.99i 0.666463 + 0.384783i
\(717\) −956.144 545.359i −0.0498017 0.0284056i
\(718\) −20983.7 36344.9i −1.09068 1.88911i
\(719\) 10904.9 18887.9i 0.565625 0.979691i −0.431366 0.902177i \(-0.641968\pi\)
0.996991 0.0775144i \(-0.0246984\pi\)
\(720\) 3854.10 6840.31i 0.199491 0.354060i
\(721\) 9011.67 16907.1i 0.465481 0.873307i
\(722\) 25028.8i 1.29013i
\(723\) −3.12450 595.356i −0.000160721 0.0306245i
\(724\) 19714.9 11382.4i 1.01202 0.584288i
\(725\) 1575.30 909.497i 0.0806966 0.0465902i
\(726\) −140.225 26719.1i −0.00716836 1.36589i
\(727\) 1336.38i 0.0681757i −0.999419 0.0340878i \(-0.989147\pi\)
0.999419 0.0340878i \(-0.0108526\pi\)
\(728\) −9.49991 280.183i −0.000483640 0.0142641i
\(729\) 19673.2 619.685i 0.999504 0.0314832i
\(730\) −10394.1 + 18003.0i −0.526988 + 0.912771i
\(731\) 29862.9 + 51724.1i 1.51097 + 2.61708i
\(732\) 26510.2 + 15120.7i 1.33859 + 0.763495i
\(733\) 4426.94 + 2555.90i 0.223074 + 0.128792i 0.607373 0.794417i \(-0.292224\pi\)
−0.384299 + 0.923209i \(0.625557\pi\)
\(734\) 25101.1 1.26226
\(735\) 5006.96 + 7371.80i 0.251272 + 0.369949i
\(736\) −893.485 −0.0447477
\(737\) 5659.91 + 3267.75i 0.282884 + 0.163323i
\(738\) 256.026 + 24391.5i 0.0127703 + 1.21662i
\(739\) −12541.2 21721.9i −0.624268 1.08126i −0.988682 0.150027i \(-0.952064\pi\)
0.364414 0.931237i \(-0.381269\pi\)
\(740\) −1946.96 + 3372.24i −0.0967186 + 0.167521i
\(741\) −389.733 666.929i −0.0193214 0.0330638i
\(742\) −187.597 5532.86i −0.00928155 0.273743i
\(743\) 10848.7i 0.535664i 0.963466 + 0.267832i \(0.0863073\pi\)
−0.963466 + 0.267832i \(0.913693\pi\)
\(744\) −3997.94 + 20.9817i −0.197005 + 0.00103391i
\(745\) −4725.03 + 2728.00i −0.232365 + 0.134156i
\(746\) 29810.2 17210.9i 1.46304 0.844686i
\(747\) 19512.8 + 32992.5i 0.955738 + 1.61597i
\(748\) 8856.06i 0.432900i
\(749\) 3009.11 5645.49i 0.146796 0.275410i
\(750\) −2289.88 + 1338.13i −0.111486 + 0.0651490i
\(751\) 8500.44 14723.2i 0.413030 0.715389i −0.582189 0.813053i \(-0.697804\pi\)
0.995219 + 0.0976641i \(0.0311371\pi\)
\(752\) 5839.95 + 10115.1i 0.283193 + 0.490504i
\(753\) 17175.8 30113.3i 0.831238 1.45736i
\(754\) −1416.19 817.635i −0.0684011 0.0394914i
\(755\) −16724.5 −0.806179
\(756\) −18934.1 + 12222.8i −0.910882 + 0.588014i
\(757\) 4378.07 0.210203 0.105102 0.994461i \(-0.466483\pi\)
0.105102 + 0.994461i \(0.466483\pi\)
\(758\) −27146.0 15672.7i −1.30077 0.751001i
\(759\) −75.0588 + 131.596i −0.00358954 + 0.00629331i
\(760\) −185.698 321.638i −0.00886311 0.0153514i
\(761\) 7619.87 13198.0i 0.362970 0.628682i −0.625478 0.780241i \(-0.715096\pi\)
0.988448 + 0.151560i \(0.0484295\pi\)
\(762\) −34896.0 + 20392.2i −1.65899 + 0.969462i
\(763\) −12006.4 + 7485.50i −0.569672 + 0.355168i
\(764\) 21455.2i 1.01600i
\(765\) 8287.27 + 14012.2i 0.391669 + 0.662240i
\(766\) 41036.9 23692.6i 1.93567 1.11756i
\(767\) −1720.41 + 993.279i −0.0809914 + 0.0467604i
\(768\) 17260.7 90.5865i 0.810994 0.00425619i
\(769\) 16240.8i 0.761583i −0.924661 0.380792i \(-0.875652\pi\)
0.924661 0.380792i \(-0.124348\pi\)
\(770\) 2825.33 + 1505.93i 0.132231 + 0.0704805i
\(771\) −6155.58 10533.7i −0.287533 0.492040i