Properties

Label 322.2.k.a.83.1
Level $322$
Weight $2$
Character 322.83
Analytic conductor $2.571$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 322 = 2 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 322.k (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.57118294509\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(8\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 83.1
Character \(\chi\) \(=\) 322.83
Dual form 322.2.k.a.97.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.959493 + 0.281733i) q^{2} +(-1.73925 + 1.50707i) q^{3} +(0.841254 - 0.540641i) q^{4} +(0.406529 + 2.82747i) q^{5} +(1.24421 - 1.93603i) q^{6} +(0.697541 + 2.55214i) q^{7} +(-0.654861 + 0.755750i) q^{8} +(0.326790 - 2.27288i) q^{9} +O(q^{10})\) \(q+(-0.959493 + 0.281733i) q^{2} +(-1.73925 + 1.50707i) q^{3} +(0.841254 - 0.540641i) q^{4} +(0.406529 + 2.82747i) q^{5} +(1.24421 - 1.93603i) q^{6} +(0.697541 + 2.55214i) q^{7} +(-0.654861 + 0.755750i) q^{8} +(0.326790 - 2.27288i) q^{9} +(-1.18665 - 2.59840i) q^{10} +(-0.284936 + 0.970403i) q^{11} +(-0.648368 + 2.20814i) q^{12} +(3.12131 - 1.42545i) q^{13} +(-1.38831 - 2.25224i) q^{14} +(-4.96825 - 4.30501i) q^{15} +(0.415415 - 0.909632i) q^{16} +(0.250335 + 0.160881i) q^{17} +(0.326790 + 2.27288i) q^{18} +(-2.14189 + 1.37651i) q^{19} +(1.87064 + 2.15883i) q^{20} +(-5.05946 - 3.38757i) q^{21} -1.01137i q^{22} +(-3.22263 + 3.55171i) q^{23} -2.30136i q^{24} +(-3.03185 + 0.890230i) q^{25} +(-2.59328 + 2.24709i) q^{26} +(-0.875612 - 1.36248i) q^{27} +(1.96660 + 1.76988i) q^{28} +(-4.42692 - 2.84501i) q^{29} +(5.97986 + 2.73091i) q^{30} +(-4.54182 - 3.93551i) q^{31} +(-0.142315 + 0.989821i) q^{32} +(-0.966889 - 2.11719i) q^{33} +(-0.285520 - 0.0838363i) q^{34} +(-6.93253 + 3.00979i) q^{35} +(-0.953897 - 2.08874i) q^{36} +(3.13060 + 0.450112i) q^{37} +(1.66732 - 1.92419i) q^{38} +(-3.28048 + 7.18325i) q^{39} +(-2.40308 - 1.54436i) q^{40} +(-1.66516 + 0.239414i) q^{41} +(5.80890 + 1.82494i) q^{42} +(8.73830 - 7.57178i) q^{43} +(0.284936 + 0.970403i) q^{44} +6.55934 q^{45} +(2.09146 - 4.31576i) q^{46} +7.57140i q^{47} +(0.648368 + 2.20814i) q^{48} +(-6.02687 + 3.56045i) q^{49} +(2.65823 - 1.70834i) q^{50} +(-0.677854 + 0.0974607i) q^{51} +(1.85515 - 2.88668i) q^{52} +(7.98930 + 3.64859i) q^{53} +(1.22400 + 1.06060i) q^{54} +(-2.85962 - 0.411151i) q^{55} +(-2.38557 - 1.14413i) q^{56} +(1.65079 - 5.62206i) q^{57} +(5.04913 + 1.48256i) q^{58} +(6.61951 - 3.02303i) q^{59} +(-6.50702 - 0.935568i) q^{60} +(6.57890 - 7.59246i) q^{61} +(5.46660 + 2.49651i) q^{62} +(6.02866 - 0.751410i) q^{63} +(-0.142315 - 0.989821i) q^{64} +(5.29933 + 8.24592i) q^{65} +(1.52420 + 1.75903i) q^{66} +(4.29528 + 14.6284i) q^{67} +0.297574 q^{68} +(0.252297 - 11.0340i) q^{69} +(5.80376 - 4.84100i) q^{70} +(-1.97960 + 0.581263i) q^{71} +(1.50372 + 1.73539i) q^{72} +(1.61711 + 2.51626i) q^{73} +(-3.13060 + 0.450112i) q^{74} +(3.93150 - 6.11754i) q^{75} +(-1.05767 + 2.31598i) q^{76} +(-2.67536 - 0.0503015i) q^{77} +(1.12384 - 7.81650i) q^{78} +(-15.2197 + 6.95062i) q^{79} +(2.74083 + 0.804781i) q^{80} +(10.1860 + 2.99087i) q^{81} +(1.53026 - 0.698846i) q^{82} +(-1.06281 + 7.39202i) q^{83} +(-6.08775 - 0.114460i) q^{84} +(-0.353117 + 0.773218i) q^{85} +(-6.25112 + 9.72693i) q^{86} +(11.9871 - 1.72349i) q^{87} +(-0.546788 - 0.850819i) q^{88} +(0.142635 + 0.164610i) q^{89} +(-6.29364 + 1.84798i) q^{90} +(5.81521 + 6.97172i) q^{91} +(-0.790853 + 4.73017i) q^{92} +13.8304 q^{93} +(-2.13311 - 7.26471i) q^{94} +(-4.76277 - 5.49653i) q^{95} +(-1.24421 - 1.93603i) q^{96} +(-2.49473 - 17.3512i) q^{97} +(4.77965 - 5.11419i) q^{98} +(2.11249 + 0.964743i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80 q - 8 q^{2} - 8 q^{4} - 11 q^{7} - 8 q^{8} - 6 q^{9} + O(q^{10}) \) \( 80 q - 8 q^{2} - 8 q^{4} - 11 q^{7} - 8 q^{8} - 6 q^{9} + 11 q^{14} - 8 q^{16} - 6 q^{18} - 33 q^{21} + 18 q^{23} - 58 q^{25} - 11 q^{28} + 16 q^{29} + 22 q^{30} - 8 q^{32} + 47 q^{35} + 16 q^{36} - 22 q^{37} - 30 q^{39} - 22 q^{42} + 44 q^{43} - 4 q^{46} + 17 q^{49} + 8 q^{50} - 88 q^{51} + 44 q^{53} + 11 q^{56} - 22 q^{57} - 28 q^{58} + 121 q^{63} - 8 q^{64} - 154 q^{65} + 58 q^{70} + 42 q^{71} - 28 q^{72} + 22 q^{74} + 38 q^{77} + 58 q^{78} - 88 q^{79} - 26 q^{81} - 11 q^{84} + 26 q^{85} - 132 q^{86} + 22 q^{88} - 4 q^{92} + 152 q^{93} - 68 q^{95} - 27 q^{98} - 44 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).

\(n\) \(185\) \(281\)
\(\chi(n)\) \(-1\) \(e\left(\frac{21}{22}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.959493 + 0.281733i −0.678464 + 0.199215i
\(3\) −1.73925 + 1.50707i −1.00416 + 0.870107i −0.991538 0.129814i \(-0.958562\pi\)
−0.0126183 + 0.999920i \(0.504017\pi\)
\(4\) 0.841254 0.540641i 0.420627 0.270320i
\(5\) 0.406529 + 2.82747i 0.181805 + 1.26448i 0.852491 + 0.522741i \(0.175091\pi\)
−0.670686 + 0.741741i \(0.734000\pi\)
\(6\) 1.24421 1.93603i 0.507946 0.790379i
\(7\) 0.697541 + 2.55214i 0.263646 + 0.964620i
\(8\) −0.654861 + 0.755750i −0.231528 + 0.267198i
\(9\) 0.326790 2.27288i 0.108930 0.757626i
\(10\) −1.18665 2.59840i −0.375252 0.821687i
\(11\) −0.284936 + 0.970403i −0.0859114 + 0.292587i −0.991230 0.132145i \(-0.957814\pi\)
0.905319 + 0.424732i \(0.139632\pi\)
\(12\) −0.648368 + 2.20814i −0.187168 + 0.637434i
\(13\) 3.12131 1.42545i 0.865696 0.395350i 0.0674792 0.997721i \(-0.478504\pi\)
0.798216 + 0.602371i \(0.205777\pi\)
\(14\) −1.38831 2.25224i −0.371041 0.601937i
\(15\) −4.96825 4.30501i −1.28280 1.11155i
\(16\) 0.415415 0.909632i 0.103854 0.227408i
\(17\) 0.250335 + 0.160881i 0.0607152 + 0.0390193i 0.570646 0.821196i \(-0.306693\pi\)
−0.509931 + 0.860215i \(0.670329\pi\)
\(18\) 0.326790 + 2.27288i 0.0770252 + 0.535722i
\(19\) −2.14189 + 1.37651i −0.491383 + 0.315793i −0.762761 0.646680i \(-0.776157\pi\)
0.271379 + 0.962473i \(0.412520\pi\)
\(20\) 1.87064 + 2.15883i 0.418287 + 0.482729i
\(21\) −5.05946 3.38757i −1.10406 0.739229i
\(22\) 1.01137i 0.215625i
\(23\) −3.22263 + 3.55171i −0.671966 + 0.740582i
\(24\) 2.30136i 0.469763i
\(25\) −3.03185 + 0.890230i −0.606369 + 0.178046i
\(26\) −2.59328 + 2.24709i −0.508584 + 0.440690i
\(27\) −0.875612 1.36248i −0.168512 0.262209i
\(28\) 1.96660 + 1.76988i 0.371653 + 0.334476i
\(29\) −4.42692 2.84501i −0.822058 0.528304i 0.0606874 0.998157i \(-0.480671\pi\)
−0.882745 + 0.469852i \(0.844307\pi\)
\(30\) 5.97986 + 2.73091i 1.09177 + 0.498594i
\(31\) −4.54182 3.93551i −0.815735 0.706838i 0.143438 0.989659i \(-0.454184\pi\)
−0.959173 + 0.282821i \(0.908730\pi\)
\(32\) −0.142315 + 0.989821i −0.0251579 + 0.174977i
\(33\) −0.966889 2.11719i −0.168314 0.368556i
\(34\) −0.285520 0.0838363i −0.0489663 0.0143778i
\(35\) −6.93253 + 3.00979i −1.17181 + 0.508748i
\(36\) −0.953897 2.08874i −0.158983 0.348124i
\(37\) 3.13060 + 0.450112i 0.514668 + 0.0739980i 0.394755 0.918786i \(-0.370829\pi\)
0.119913 + 0.992784i \(0.461739\pi\)
\(38\) 1.66732 1.92419i 0.270475 0.312145i
\(39\) −3.28048 + 7.18325i −0.525297 + 1.15024i
\(40\) −2.40308 1.54436i −0.379960 0.244185i
\(41\) −1.66516 + 0.239414i −0.260054 + 0.0373902i −0.271109 0.962549i \(-0.587390\pi\)
0.0110544 + 0.999939i \(0.496481\pi\)
\(42\) 5.80890 + 1.82494i 0.896333 + 0.281594i
\(43\) 8.73830 7.57178i 1.33258 1.15469i 0.357229 0.934017i \(-0.383722\pi\)
0.975349 0.220668i \(-0.0708239\pi\)
\(44\) 0.284936 + 0.970403i 0.0429557 + 0.146294i
\(45\) 6.55934 0.977808
\(46\) 2.09146 4.31576i 0.308369 0.636324i
\(47\) 7.57140i 1.10440i 0.833711 + 0.552201i \(0.186212\pi\)
−0.833711 + 0.552201i \(0.813788\pi\)
\(48\) 0.648368 + 2.20814i 0.0935838 + 0.318717i
\(49\) −6.02687 + 3.56045i −0.860982 + 0.508636i
\(50\) 2.65823 1.70834i 0.375930 0.241596i
\(51\) −0.677854 + 0.0974607i −0.0949185 + 0.0136472i
\(52\) 1.85515 2.88668i 0.257264 0.400310i
\(53\) 7.98930 + 3.64859i 1.09741 + 0.501172i 0.880032 0.474914i \(-0.157521\pi\)
0.217382 + 0.976087i \(0.430248\pi\)
\(54\) 1.22400 + 1.06060i 0.166565 + 0.144329i
\(55\) −2.85962 0.411151i −0.385591 0.0554396i
\(56\) −2.38557 1.14413i −0.318786 0.152891i
\(57\) 1.65079 5.62206i 0.218652 0.744661i
\(58\) 5.04913 + 1.48256i 0.662983 + 0.194669i
\(59\) 6.61951 3.02303i 0.861787 0.393565i 0.0650435 0.997882i \(-0.479281\pi\)
0.796744 + 0.604317i \(0.206554\pi\)
\(60\) −6.50702 0.935568i −0.840052 0.120781i
\(61\) 6.57890 7.59246i 0.842342 0.972115i −0.157539 0.987513i \(-0.550356\pi\)
0.999881 + 0.0153978i \(0.00490147\pi\)
\(62\) 5.46660 + 2.49651i 0.694259 + 0.317058i
\(63\) 6.02866 0.751410i 0.759540 0.0946687i
\(64\) −0.142315 0.989821i −0.0177894 0.123728i
\(65\) 5.29933 + 8.24592i 0.657301 + 1.02278i
\(66\) 1.52420 + 1.75903i 0.187617 + 0.216521i
\(67\) 4.29528 + 14.6284i 0.524752 + 1.78714i 0.611887 + 0.790945i \(0.290411\pi\)
−0.0871347 + 0.996197i \(0.527771\pi\)
\(68\) 0.297574 0.0360862
\(69\) 0.252297 11.0340i 0.0303730 1.32834i
\(70\) 5.80376 4.84100i 0.693682 0.578610i
\(71\) −1.97960 + 0.581263i −0.234935 + 0.0689832i −0.397081 0.917784i \(-0.629977\pi\)
0.162146 + 0.986767i \(0.448159\pi\)
\(72\) 1.50372 + 1.73539i 0.177216 + 0.204518i
\(73\) 1.61711 + 2.51626i 0.189268 + 0.294507i 0.922900 0.385041i \(-0.125813\pi\)
−0.733632 + 0.679547i \(0.762176\pi\)
\(74\) −3.13060 + 0.450112i −0.363925 + 0.0523245i
\(75\) 3.93150 6.11754i 0.453971 0.706392i
\(76\) −1.05767 + 2.31598i −0.121324 + 0.265662i
\(77\) −2.67536 0.0503015i −0.304886 0.00573239i
\(78\) 1.12384 7.81650i 0.127250 0.885044i
\(79\) −15.2197 + 6.95062i −1.71235 + 0.782006i −0.715870 + 0.698234i \(0.753970\pi\)
−0.996485 + 0.0837722i \(0.973303\pi\)
\(80\) 2.74083 + 0.804781i 0.306435 + 0.0899773i
\(81\) 10.1860 + 2.99087i 1.13177 + 0.332319i
\(82\) 1.53026 0.698846i 0.168989 0.0771746i
\(83\) −1.06281 + 7.39202i −0.116659 + 0.811380i 0.844534 + 0.535502i \(0.179878\pi\)
−0.961193 + 0.275878i \(0.911032\pi\)
\(84\) −6.08775 0.114460i −0.664228 0.0124886i
\(85\) −0.353117 + 0.773218i −0.0383009 + 0.0838672i
\(86\) −6.25112 + 9.72693i −0.674075 + 1.04888i
\(87\) 11.9871 1.72349i 1.28516 0.184778i
\(88\) −0.546788 0.850819i −0.0582878 0.0906976i
\(89\) 0.142635 + 0.164610i 0.0151193 + 0.0174486i 0.763259 0.646093i \(-0.223598\pi\)
−0.748140 + 0.663541i \(0.769053\pi\)
\(90\) −6.29364 + 1.84798i −0.663408 + 0.194794i
\(91\) 5.81521 + 6.97172i 0.609599 + 0.730835i
\(92\) −0.790853 + 4.73017i −0.0824522 + 0.493155i
\(93\) 13.8304 1.43415
\(94\) −2.13311 7.26471i −0.220014 0.749297i
\(95\) −4.76277 5.49653i −0.488650 0.563932i
\(96\) −1.24421 1.93603i −0.126986 0.197595i
\(97\) −2.49473 17.3512i −0.253301 1.76175i −0.578100 0.815966i \(-0.696206\pi\)
0.324799 0.945783i \(-0.394703\pi\)
\(98\) 4.77965 5.11419i 0.482817 0.516612i
\(99\) 2.11249 + 0.964743i 0.212313 + 0.0969603i
\(100\) −2.06926 + 2.38805i −0.206926 + 0.238805i
\(101\) −7.25965 1.04378i −0.722362 0.103860i −0.228679 0.973502i \(-0.573441\pi\)
−0.493683 + 0.869642i \(0.664350\pi\)
\(102\) 0.622938 0.284486i 0.0616801 0.0281683i
\(103\) 1.35901 + 0.399041i 0.133907 + 0.0393187i 0.347999 0.937495i \(-0.386861\pi\)
−0.214092 + 0.976813i \(0.568679\pi\)
\(104\) −0.966737 + 3.29240i −0.0947963 + 0.322847i
\(105\) 7.52144 15.6826i 0.734018 1.53046i
\(106\) −8.69360 1.24995i −0.844397 0.121406i
\(107\) −2.29218 1.98619i −0.221593 0.192012i 0.536988 0.843590i \(-0.319562\pi\)
−0.758582 + 0.651578i \(0.774107\pi\)
\(108\) −1.47322 0.672799i −0.141761 0.0647401i
\(109\) 7.16221 11.1446i 0.686016 1.06746i −0.307253 0.951628i \(-0.599410\pi\)
0.993269 0.115833i \(-0.0369539\pi\)
\(110\) 2.85962 0.411151i 0.272654 0.0392017i
\(111\) −6.12325 + 3.93517i −0.581193 + 0.373510i
\(112\) 2.61128 + 0.425693i 0.246743 + 0.0402242i
\(113\) 2.04605 + 6.96821i 0.192476 + 0.655514i 0.998015 + 0.0629711i \(0.0200576\pi\)
−0.805539 + 0.592543i \(0.798124\pi\)
\(114\) 5.85941i 0.548784i
\(115\) −11.3524 7.66802i −1.05862 0.715047i
\(116\) −5.26228 −0.488591
\(117\) −2.21987 7.56018i −0.205227 0.698939i
\(118\) −5.49969 + 4.76551i −0.506288 + 0.438701i
\(119\) −0.235971 + 0.751112i −0.0216315 + 0.0688544i
\(120\) 6.50702 0.935568i 0.594007 0.0854053i
\(121\) 8.39330 + 5.39404i 0.763027 + 0.490368i
\(122\) −4.17337 + 9.13840i −0.377839 + 0.827352i
\(123\) 2.53532 2.92591i 0.228602 0.263821i
\(124\) −5.94852 0.855268i −0.534193 0.0768053i
\(125\) 2.18363 + 4.78147i 0.195309 + 0.427668i
\(126\) −5.57276 + 2.41944i −0.496461 + 0.215541i
\(127\) −12.9944 3.81551i −1.15307 0.338572i −0.351334 0.936250i \(-0.614272\pi\)
−0.801736 + 0.597678i \(0.796090\pi\)
\(128\) 0.415415 + 0.909632i 0.0367178 + 0.0804009i
\(129\) −3.78690 + 26.3384i −0.333418 + 2.31897i
\(130\) −7.40781 6.41891i −0.649708 0.562975i
\(131\) 5.52098 + 2.52135i 0.482371 + 0.220291i 0.641732 0.766929i \(-0.278216\pi\)
−0.159361 + 0.987220i \(0.550943\pi\)
\(132\) −1.95804 1.25836i −0.170425 0.109526i
\(133\) −5.00710 4.50623i −0.434171 0.390740i
\(134\) −8.24259 12.8257i −0.712051 1.10797i
\(135\) 3.49640 3.02965i 0.300923 0.260751i
\(136\) −0.285520 + 0.0838363i −0.0244832 + 0.00718890i
\(137\) 20.2884i 1.73336i 0.498868 + 0.866678i \(0.333749\pi\)
−0.498868 + 0.866678i \(0.666251\pi\)
\(138\) 2.86657 + 10.6582i 0.244019 + 0.907283i
\(139\) 16.2014i 1.37418i 0.726572 + 0.687090i \(0.241112\pi\)
−0.726572 + 0.687090i \(0.758888\pi\)
\(140\) −4.20480 + 6.28001i −0.355371 + 0.530758i
\(141\) −11.4106 13.1686i −0.960948 1.10899i
\(142\) 1.73565 1.11543i 0.145653 0.0936052i
\(143\) 0.493892 + 3.43509i 0.0413013 + 0.287257i
\(144\) −1.93173 1.24145i −0.160977 0.103454i
\(145\) 6.24450 13.6735i 0.518577 1.13553i
\(146\) −2.26051 1.95875i −0.187082 0.162107i
\(147\) 5.11640 15.2754i 0.421993 1.25990i
\(148\) 2.87698 1.31387i 0.236486 0.108000i
\(149\) −0.704601 + 2.39965i −0.0577232 + 0.196587i −0.983307 0.181957i \(-0.941757\pi\)
0.925583 + 0.378544i \(0.123575\pi\)
\(150\) −2.04874 + 6.97736i −0.167279 + 0.569699i
\(151\) −1.30217 2.85135i −0.105969 0.232040i 0.849218 0.528042i \(-0.177074\pi\)
−0.955187 + 0.296002i \(0.904346\pi\)
\(152\) 0.362343 2.52015i 0.0293899 0.204411i
\(153\) 0.447469 0.516407i 0.0361757 0.0417490i
\(154\) 2.58116 0.705472i 0.207996 0.0568486i
\(155\) 9.28115 14.4417i 0.745480 1.15999i
\(156\) 1.12384 + 7.81650i 0.0899794 + 0.625821i
\(157\) −5.54224 + 3.56178i −0.442319 + 0.284261i −0.742783 0.669532i \(-0.766495\pi\)
0.300464 + 0.953793i \(0.402858\pi\)
\(158\) 12.6450 10.9570i 1.00598 0.871690i
\(159\) −19.3941 + 5.69461i −1.53805 + 0.451612i
\(160\) −2.85654 −0.225830
\(161\) −11.3124 5.74716i −0.891541 0.452940i
\(162\) −10.6160 −0.834071
\(163\) 6.70831 1.96974i 0.525435 0.154282i −0.00824839 0.999966i \(-0.502626\pi\)
0.533683 + 0.845684i \(0.320807\pi\)
\(164\) −1.27138 + 1.10166i −0.0992785 + 0.0860253i
\(165\) 5.59322 3.59455i 0.435432 0.279835i
\(166\) −1.06281 7.39202i −0.0824902 0.573732i
\(167\) 6.44114 10.0226i 0.498430 0.775573i −0.497330 0.867562i \(-0.665686\pi\)
0.995760 + 0.0919889i \(0.0293224\pi\)
\(168\) 5.87340 1.60529i 0.453142 0.123851i
\(169\) −0.802532 + 0.926172i −0.0617333 + 0.0712440i
\(170\) 0.120972 0.841381i 0.00927816 0.0645310i
\(171\) 2.42868 + 5.31808i 0.185726 + 0.406684i
\(172\) 3.25751 11.0941i 0.248383 0.845915i
\(173\) −2.28014 + 7.76545i −0.173356 + 0.590396i 0.826276 + 0.563265i \(0.190455\pi\)
−0.999632 + 0.0271305i \(0.991363\pi\)
\(174\) −11.0160 + 5.03084i −0.835122 + 0.381387i
\(175\) −4.38683 7.11673i −0.331613 0.537975i
\(176\) 0.764343 + 0.662307i 0.0576145 + 0.0499232i
\(177\) −6.95708 + 15.2339i −0.522926 + 1.14505i
\(178\) −0.183233 0.117757i −0.0137339 0.00882624i
\(179\) −2.18308 15.1836i −0.163171 1.13488i −0.892609 0.450832i \(-0.851127\pi\)
0.729438 0.684047i \(-0.239782\pi\)
\(180\) 5.51807 3.54625i 0.411292 0.264322i
\(181\) 10.3886 + 11.9891i 0.772177 + 0.891139i 0.996519 0.0833711i \(-0.0265687\pi\)
−0.224342 + 0.974511i \(0.572023\pi\)
\(182\) −7.54381 5.05098i −0.559184 0.374404i
\(183\) 23.1201i 1.70908i
\(184\) −0.573826 4.76138i −0.0423030 0.351013i
\(185\) 9.03466i 0.664241i
\(186\) −13.2702 + 3.89649i −0.973019 + 0.285704i
\(187\) −0.227449 + 0.197085i −0.0166327 + 0.0144123i
\(188\) 4.09341 + 6.36947i 0.298543 + 0.464541i
\(189\) 2.86647 3.18507i 0.208505 0.231680i
\(190\) 6.11840 + 3.93205i 0.443875 + 0.285261i
\(191\) −1.26580 0.578072i −0.0915901 0.0418278i 0.369093 0.929392i \(-0.379668\pi\)
−0.460683 + 0.887565i \(0.652396\pi\)
\(192\) 1.73925 + 1.50707i 0.125520 + 0.108763i
\(193\) −2.78349 + 19.3596i −0.200360 + 1.39353i 0.602859 + 0.797848i \(0.294028\pi\)
−0.803219 + 0.595684i \(0.796881\pi\)
\(194\) 7.28208 + 15.9455i 0.522823 + 1.14482i
\(195\) −21.6440 6.35526i −1.54996 0.455110i
\(196\) −3.14520 + 6.25361i −0.224657 + 0.446687i
\(197\) 4.20141 + 9.19981i 0.299338 + 0.655459i 0.998211 0.0597866i \(-0.0190420\pi\)
−0.698873 + 0.715246i \(0.746315\pi\)
\(198\) −2.29872 0.330506i −0.163363 0.0234880i
\(199\) −9.62827 + 11.1116i −0.682530 + 0.787682i −0.986282 0.165069i \(-0.947215\pi\)
0.303752 + 0.952751i \(0.401761\pi\)
\(200\) 1.31265 2.87429i 0.0928181 0.203243i
\(201\) −29.5166 18.9691i −2.08194 1.33798i
\(202\) 7.25965 1.04378i 0.510787 0.0734401i
\(203\) 4.17291 13.2826i 0.292881 0.932258i
\(204\) −0.517556 + 0.448465i −0.0362362 + 0.0313988i
\(205\) −1.35387 4.61086i −0.0945584 0.322036i
\(206\) −1.41638 −0.0986841
\(207\) 7.01947 + 8.48531i 0.487887 + 0.589770i
\(208\) 3.43140i 0.237925i
\(209\) −0.725466 2.47071i −0.0501815 0.170903i
\(210\) −2.79848 + 17.1664i −0.193113 + 1.18459i
\(211\) 9.77858 6.28431i 0.673185 0.432630i −0.158887 0.987297i \(-0.550791\pi\)
0.832072 + 0.554667i \(0.187154\pi\)
\(212\) 8.69360 1.24995i 0.597079 0.0858470i
\(213\) 2.56701 3.99435i 0.175889 0.273689i
\(214\) 2.75890 + 1.25995i 0.188595 + 0.0861284i
\(215\) 24.9613 + 21.6291i 1.70235 + 1.47509i
\(216\) 1.60310 + 0.230490i 0.109077 + 0.0156829i
\(217\) 6.87588 14.3366i 0.466765 0.973229i
\(218\) −3.73229 + 12.7110i −0.252783 + 0.860899i
\(219\) −6.60474 1.93933i −0.446307 0.131047i
\(220\) −2.62795 + 1.20014i −0.177176 + 0.0809137i
\(221\) 1.01070 + 0.145317i 0.0679872 + 0.00977508i
\(222\) 4.76655 5.50089i 0.319910 0.369196i
\(223\) 22.9652 + 10.4878i 1.53786 + 0.702318i 0.990870 0.134820i \(-0.0430455\pi\)
0.546992 + 0.837138i \(0.315773\pi\)
\(224\) −2.62544 + 0.327233i −0.175419 + 0.0218642i
\(225\) 1.03261 + 7.18193i 0.0688404 + 0.478796i
\(226\) −3.92634 6.10951i −0.261176 0.406398i
\(227\) −15.8539 18.2964i −1.05226 1.21438i −0.976110 0.217279i \(-0.930282\pi\)
−0.0761525 0.997096i \(-0.524264\pi\)
\(228\) −1.65079 5.62206i −0.109326 0.372330i
\(229\) −7.29772 −0.482247 −0.241124 0.970494i \(-0.577516\pi\)
−0.241124 + 0.970494i \(0.577516\pi\)
\(230\) 13.0529 + 4.15906i 0.860684 + 0.274241i
\(231\) 4.72893 3.94447i 0.311141 0.259527i
\(232\) 5.04913 1.48256i 0.331491 0.0973346i
\(233\) −15.8087 18.2442i −1.03566 1.19522i −0.980456 0.196741i \(-0.936964\pi\)
−0.0552048 0.998475i \(-0.517581\pi\)
\(234\) 4.25990 + 6.62853i 0.278478 + 0.433321i
\(235\) −21.4079 + 3.07799i −1.39650 + 0.200786i
\(236\) 3.93432 6.12191i 0.256102 0.398503i
\(237\) 15.9959 35.0261i 1.03904 2.27519i
\(238\) 0.0148001 0.787168i 0.000959350 0.0510245i
\(239\) −1.89543 + 13.1830i −0.122605 + 0.852736i 0.831982 + 0.554803i \(0.187206\pi\)
−0.954587 + 0.297933i \(0.903703\pi\)
\(240\) −5.97986 + 2.73091i −0.385998 + 0.176279i
\(241\) 7.38136 + 2.16736i 0.475475 + 0.139612i 0.510685 0.859768i \(-0.329392\pi\)
−0.0352099 + 0.999380i \(0.511210\pi\)
\(242\) −9.57299 2.81088i −0.615375 0.180690i
\(243\) −17.8037 + 8.13069i −1.14211 + 0.521584i
\(244\) 1.42973 9.94401i 0.0915292 0.636600i
\(245\) −12.5172 15.5934i −0.799692 0.996224i
\(246\) −1.60829 + 3.52167i −0.102541 + 0.224534i
\(247\) −4.72335 + 7.34967i −0.300539 + 0.467648i
\(248\) 5.94852 0.855268i 0.377731 0.0543096i
\(249\) −9.29179 14.4583i −0.588843 0.916258i
\(250\) −3.44227 3.97259i −0.217708 0.251249i
\(251\) 26.5943 7.80881i 1.67862 0.492887i 0.702786 0.711401i \(-0.251939\pi\)
0.975834 + 0.218513i \(0.0701208\pi\)
\(252\) 4.66539 3.89146i 0.293892 0.245139i
\(253\) −2.52834 4.13926i −0.158956 0.260233i
\(254\) 13.5430 0.849765
\(255\) −0.551134 1.87699i −0.0345134 0.117542i
\(256\) −0.654861 0.755750i −0.0409288 0.0472343i
\(257\) −5.66212 8.81043i −0.353193 0.549579i 0.618512 0.785775i \(-0.287736\pi\)
−0.971705 + 0.236196i \(0.924099\pi\)
\(258\) −3.78690 26.3384i −0.235762 1.63976i
\(259\) 1.03497 + 8.30372i 0.0643100 + 0.515968i
\(260\) 8.91616 + 4.07187i 0.552957 + 0.252527i
\(261\) −7.91302 + 9.13211i −0.489804 + 0.565264i
\(262\) −6.00769 0.863776i −0.371156 0.0533642i
\(263\) 8.16183 3.72738i 0.503280 0.229840i −0.147563 0.989053i \(-0.547143\pi\)
0.650843 + 0.759212i \(0.274416\pi\)
\(264\) 2.23324 + 0.655740i 0.137447 + 0.0403580i
\(265\) −7.06839 + 24.0727i −0.434208 + 1.47878i
\(266\) 6.07383 + 2.91304i 0.372410 + 0.178610i
\(267\) −0.496156 0.0713365i −0.0303642 0.00436572i
\(268\) 11.5221 + 9.98398i 0.703826 + 0.609868i
\(269\) 3.11603 + 1.42304i 0.189987 + 0.0867644i 0.508137 0.861276i \(-0.330334\pi\)
−0.318150 + 0.948040i \(0.603062\pi\)
\(270\) −2.50122 + 3.89198i −0.152220 + 0.236858i
\(271\) 31.4363 4.51985i 1.90962 0.274562i 0.917292 0.398215i \(-0.130370\pi\)
0.992325 + 0.123654i \(0.0394612\pi\)
\(272\) 0.250335 0.160881i 0.0151788 0.00975482i
\(273\) −20.6210 3.36164i −1.24804 0.203456i
\(274\) −5.71590 19.4666i −0.345310 1.17602i
\(275\) 3.19577i 0.192712i
\(276\) −5.75321 9.41883i −0.346302 0.566947i
\(277\) −11.1142 −0.667786 −0.333893 0.942611i \(-0.608362\pi\)
−0.333893 + 0.942611i \(0.608362\pi\)
\(278\) −4.56445 15.5451i −0.273757 0.932332i
\(279\) −10.4292 + 9.03691i −0.624377 + 0.541026i
\(280\) 2.26519 7.21026i 0.135371 0.430895i
\(281\) 14.8943 2.14147i 0.888518 0.127750i 0.317084 0.948398i \(-0.397296\pi\)
0.571434 + 0.820648i \(0.306387\pi\)
\(282\) 14.6584 + 9.42040i 0.872897 + 0.560977i
\(283\) 7.16977 15.6996i 0.426198 0.933244i −0.567730 0.823215i \(-0.692178\pi\)
0.993928 0.110029i \(-0.0350945\pi\)
\(284\) −1.35109 + 1.55924i −0.0801724 + 0.0925239i
\(285\) 16.5673 + 2.38202i 0.981362 + 0.141099i
\(286\) −1.44166 3.15680i −0.0852473 0.186666i
\(287\) −1.77254 4.08273i −0.104630 0.240996i
\(288\) 2.20324 + 0.646928i 0.129827 + 0.0381206i
\(289\) −7.02527 15.3832i −0.413251 0.904894i
\(290\) −2.13927 + 14.8789i −0.125622 + 0.873722i
\(291\) 30.4884 + 26.4184i 1.78726 + 1.54867i
\(292\) 2.72079 + 1.24254i 0.159222 + 0.0727144i
\(293\) 2.87038 + 1.84468i 0.167689 + 0.107767i 0.621794 0.783181i \(-0.286404\pi\)
−0.454104 + 0.890949i \(0.650041\pi\)
\(294\) −0.605560 + 16.0981i −0.0353170 + 0.938862i
\(295\) 11.2385 + 17.4875i 0.654333 + 1.01816i
\(296\) −2.39028 + 2.07119i −0.138932 + 0.120385i
\(297\) 1.57165 0.461477i 0.0911962 0.0267776i
\(298\) 2.50096i 0.144877i
\(299\) −4.99604 + 15.6797i −0.288928 + 0.906781i
\(300\) 7.27193i 0.419845i
\(301\) 25.4196 + 17.0198i 1.46516 + 0.981003i
\(302\) 2.05274 + 2.36899i 0.118122 + 0.136320i
\(303\) 14.1994 9.12540i 0.815734 0.524241i
\(304\) 0.362343 + 2.52015i 0.0207818 + 0.144541i
\(305\) 24.1420 + 15.5151i 1.38236 + 0.888392i
\(306\) −0.283855 + 0.621556i −0.0162269 + 0.0355320i
\(307\) 8.82918 + 7.65053i 0.503908 + 0.436639i 0.869351 0.494195i \(-0.164537\pi\)
−0.365443 + 0.930834i \(0.619083\pi\)
\(308\) −2.27785 + 1.40409i −0.129793 + 0.0800056i
\(309\) −2.96504 + 1.35409i −0.168675 + 0.0770315i
\(310\) −4.83649 + 16.4716i −0.274694 + 0.935522i
\(311\) 4.75134 16.1816i 0.269424 0.917572i −0.707987 0.706225i \(-0.750397\pi\)
0.977411 0.211347i \(-0.0677851\pi\)
\(312\) −3.28048 7.18325i −0.185721 0.406672i
\(313\) 0.785424 5.46274i 0.0443948 0.308772i −0.955510 0.294959i \(-0.904694\pi\)
0.999905 0.0138131i \(-0.00439700\pi\)
\(314\) 4.31427 4.97893i 0.243468 0.280978i
\(315\) 4.57541 + 16.7404i 0.257795 + 0.943213i
\(316\) −9.04587 + 14.0756i −0.508870 + 0.791817i
\(317\) 2.00832 + 13.9682i 0.112799 + 0.784531i 0.965175 + 0.261603i \(0.0842512\pi\)
−0.852377 + 0.522928i \(0.824840\pi\)
\(318\) 17.0041 10.9279i 0.953543 0.612805i
\(319\) 4.02219 3.48525i 0.225199 0.195136i
\(320\) 2.74083 0.804781i 0.153217 0.0449886i
\(321\) 6.98000 0.389585
\(322\) 12.4733 + 2.32729i 0.695111 + 0.129695i
\(323\) −0.757643 −0.0421564
\(324\) 10.1860 2.99087i 0.565887 0.166159i
\(325\) −8.19435 + 7.10044i −0.454541 + 0.393862i
\(326\) −5.88163 + 3.77990i −0.325754 + 0.209349i
\(327\) 4.33883 + 30.1772i 0.239938 + 1.66881i
\(328\) 0.909511 1.41523i 0.0502193 0.0781428i
\(329\) −19.3233 + 5.28137i −1.06533 + 0.291171i
\(330\) −4.35396 + 5.02474i −0.239678 + 0.276603i
\(331\) 4.15353 28.8884i 0.228299 1.58785i −0.476975 0.878917i \(-0.658267\pi\)
0.705274 0.708935i \(-0.250824\pi\)
\(332\) 3.10233 + 6.79316i 0.170263 + 0.372823i
\(333\) 2.04610 6.96838i 0.112126 0.381865i
\(334\) −3.35653 + 11.4313i −0.183661 + 0.625493i
\(335\) −39.6151 + 18.0916i −2.16441 + 0.988451i
\(336\) −5.18322 + 3.19499i −0.282768 + 0.174301i
\(337\) 4.64781 + 4.02735i 0.253182 + 0.219384i 0.772200 0.635380i \(-0.219157\pi\)
−0.519017 + 0.854764i \(0.673702\pi\)
\(338\) 0.509091 1.11475i 0.0276909 0.0606347i
\(339\) −14.0602 9.03592i −0.763643 0.490764i
\(340\) 0.120972 + 0.841381i 0.00656065 + 0.0456303i
\(341\) 5.11316 3.28603i 0.276893 0.177948i
\(342\) −3.82858 4.41842i −0.207026 0.238921i
\(343\) −13.2908 12.8979i −0.717634 0.696420i
\(344\) 11.5624i 0.623404i
\(345\) 31.3010 3.77229i 1.68519 0.203093i
\(346\) 8.09328i 0.435098i
\(347\) 14.8906 4.37226i 0.799367 0.234715i 0.143558 0.989642i \(-0.454146\pi\)
0.655809 + 0.754927i \(0.272328\pi\)
\(348\) 9.15243 7.93063i 0.490622 0.425126i
\(349\) 9.39988 + 14.6265i 0.503164 + 0.782939i 0.996202 0.0870689i \(-0.0277500\pi\)
−0.493038 + 0.870008i \(0.664114\pi\)
\(350\) 6.21415 + 5.59254i 0.332160 + 0.298934i
\(351\) −4.67521 3.00457i −0.249544 0.160372i
\(352\) −0.919975 0.420138i −0.0490348 0.0223935i
\(353\) −14.9202 12.9284i −0.794121 0.688109i 0.160137 0.987095i \(-0.448806\pi\)
−0.954258 + 0.298985i \(0.903352\pi\)
\(354\) 2.38339 16.5768i 0.126676 0.881048i
\(355\) −2.44826 5.36095i −0.129940 0.284530i
\(356\) 0.208987 + 0.0613641i 0.0110763 + 0.00325229i
\(357\) −0.721565 1.66200i −0.0381893 0.0879623i
\(358\) 6.37237 + 13.9536i 0.336790 + 0.737468i
\(359\) −17.2199 2.47585i −0.908831 0.130670i −0.327984 0.944683i \(-0.606369\pi\)
−0.580846 + 0.814013i \(0.697278\pi\)
\(360\) −4.29545 + 4.95722i −0.226390 + 0.261268i
\(361\) −5.19998 + 11.3864i −0.273683 + 0.599282i
\(362\) −13.3455 8.57661i −0.701422 0.450777i
\(363\) −22.7272 + 3.26768i −1.19287 + 0.171509i
\(364\) 8.66126 + 2.72104i 0.453973 + 0.142621i
\(365\) −6.45726 + 5.59525i −0.337988 + 0.292869i
\(366\) −6.51367 22.1835i −0.340475 1.15955i
\(367\) 28.3956 1.48224 0.741120 0.671372i \(-0.234295\pi\)
0.741120 + 0.671372i \(0.234295\pi\)
\(368\) 1.89202 + 4.40684i 0.0986282 + 0.229723i
\(369\) 3.86294i 0.201097i
\(370\) −2.54536 8.66869i −0.132327 0.450664i
\(371\) −3.73886 + 22.9349i −0.194112 + 1.19072i
\(372\) 11.6349 7.47730i 0.603242 0.387680i
\(373\) −11.9955 + 1.72469i −0.621102 + 0.0893010i −0.445680 0.895192i \(-0.647038\pi\)
−0.175422 + 0.984493i \(0.556129\pi\)
\(374\) 0.162710 0.253182i 0.00841353 0.0130917i
\(375\) −11.0039 5.02530i −0.568238 0.259506i
\(376\) −5.72208 4.95821i −0.295094 0.255700i
\(377\) −17.8732 2.56978i −0.920517 0.132350i
\(378\) −1.85302 + 3.86363i −0.0953088 + 0.198724i
\(379\) −5.37962 + 18.3213i −0.276332 + 0.941101i 0.698021 + 0.716077i \(0.254064\pi\)
−0.974353 + 0.225024i \(0.927754\pi\)
\(380\) −6.97835 2.04903i −0.357982 0.105113i
\(381\) 28.3508 12.9474i 1.45246 0.663315i
\(382\) 1.37739 + 0.198039i 0.0704733 + 0.0101325i
\(383\) 13.4230 15.4910i 0.685885 0.791553i −0.300889 0.953659i \(-0.597283\pi\)
0.986773 + 0.162106i \(0.0518287\pi\)
\(384\) −2.09339 0.956019i −0.106828 0.0487866i
\(385\) −0.945385 7.58495i −0.0481813 0.386565i
\(386\) −2.78349 19.3596i −0.141676 0.985376i
\(387\) −14.3541 22.3355i −0.729661 1.13538i
\(388\) −11.4795 13.2480i −0.582782 0.672566i
\(389\) −4.86151 16.5568i −0.246488 0.839462i −0.986061 0.166385i \(-0.946791\pi\)
0.739573 0.673077i \(-0.235028\pi\)
\(390\) 22.5578 1.14226
\(391\) −1.37814 + 0.370658i −0.0696955 + 0.0187450i
\(392\) 1.25595 6.88641i 0.0634352 0.347816i
\(393\) −13.4022 + 3.93525i −0.676053 + 0.198507i
\(394\) −6.62311 7.64348i −0.333667 0.385073i
\(395\) −25.8399 40.2077i −1.30015 2.02307i
\(396\) 2.29872 0.330506i 0.115515 0.0166086i
\(397\) −17.6551 + 27.4719i −0.886085 + 1.37877i 0.0390907 + 0.999236i \(0.487554\pi\)
−0.925176 + 0.379539i \(0.876082\pi\)
\(398\) 6.10776 13.3741i 0.306154 0.670384i
\(399\) 15.4998 + 0.291424i 0.775961 + 0.0145894i
\(400\) −0.449692 + 3.12768i −0.0224846 + 0.156384i
\(401\) −1.29640 + 0.592048i −0.0647393 + 0.0295654i −0.447522 0.894273i \(-0.647693\pi\)
0.382782 + 0.923839i \(0.374966\pi\)
\(402\) 33.6652 + 9.88498i 1.67907 + 0.493018i
\(403\) −19.7863 5.80979i −0.985627 0.289406i
\(404\) −6.67152 + 3.04678i −0.331920 + 0.151583i
\(405\) −4.31570 + 30.0164i −0.214449 + 1.49153i
\(406\) −0.261725 + 13.9202i −0.0129892 + 0.690850i
\(407\) −1.32881 + 2.90969i −0.0658667 + 0.144228i
\(408\) 0.370244 0.576111i 0.0183298 0.0285217i
\(409\) 34.6004 4.97478i 1.71088 0.245987i 0.783842 0.620960i \(-0.213257\pi\)
0.927036 + 0.374973i \(0.122348\pi\)
\(410\) 2.59806 + 4.04266i 0.128309 + 0.199653i
\(411\) −30.5760 35.2866i −1.50820 1.74056i
\(412\) 1.35901 0.399041i 0.0669536 0.0196594i
\(413\) 12.3326 + 14.7853i 0.606847 + 0.727535i
\(414\) −9.12572 6.16399i −0.448505 0.302943i
\(415\) −21.3328 −1.04718
\(416\) 0.966737 + 3.29240i 0.0473982 + 0.161423i
\(417\) −24.4166 28.1782i −1.19568 1.37989i
\(418\) 1.39216 + 2.16624i 0.0680927 + 0.105954i
\(419\) −4.23110 29.4279i −0.206703 1.43765i −0.783820 0.620988i \(-0.786732\pi\)
0.577118 0.816661i \(-0.304177\pi\)
\(420\) −2.15121 17.2594i −0.104968 0.842174i
\(421\) −4.51873 2.06364i −0.220230 0.100575i 0.302245 0.953230i \(-0.402264\pi\)
−0.522475 + 0.852655i \(0.674991\pi\)
\(422\) −7.61198 + 8.78469i −0.370545 + 0.427632i
\(423\) 17.2089 + 2.47426i 0.836724 + 0.120303i
\(424\) −7.98930 + 3.64859i −0.387995 + 0.177191i
\(425\) −0.902199 0.264909i −0.0437631 0.0128500i
\(426\) −1.33769 + 4.55577i −0.0648115 + 0.220728i
\(427\) 23.9661 + 11.4943i 1.15980 + 0.556246i
\(428\) −3.00212 0.431639i −0.145113 0.0208641i
\(429\) −6.03592 5.23016i −0.291417 0.252514i
\(430\) −30.0438 13.7206i −1.44884 0.661664i
\(431\) 10.7115 16.6674i 0.515953 0.802839i −0.481327 0.876541i \(-0.659845\pi\)
0.997280 + 0.0737023i \(0.0234815\pi\)
\(432\) −1.60310 + 0.230490i −0.0771290 + 0.0110895i
\(433\) −22.2736 + 14.3144i −1.07040 + 0.687905i −0.952320 0.305099i \(-0.901310\pi\)
−0.118080 + 0.993004i \(0.537674\pi\)
\(434\) −2.55828 + 15.6930i −0.122801 + 0.753287i
\(435\) 9.74623 + 33.1926i 0.467296 + 1.59146i
\(436\) 13.2476i 0.634447i
\(437\) 2.01357 12.0433i 0.0963219 0.576111i
\(438\) 6.88357 0.328910
\(439\) 2.81237 + 9.57804i 0.134227 + 0.457135i 0.998985 0.0450545i \(-0.0143462\pi\)
−0.864758 + 0.502190i \(0.832528\pi\)
\(440\) 2.18338 1.89191i 0.104088 0.0901932i
\(441\) 6.12294 + 14.8619i 0.291569 + 0.707708i
\(442\) −1.01070 + 0.145317i −0.0480742 + 0.00691203i
\(443\) −31.5257 20.2603i −1.49783 0.962598i −0.995175 0.0981118i \(-0.968720\pi\)
−0.502656 0.864486i \(-0.667644\pi\)
\(444\) −3.02369 + 6.62096i −0.143498 + 0.314217i
\(445\) −0.407443 + 0.470214i −0.0193147 + 0.0222903i
\(446\) −24.9897 3.59298i −1.18330 0.170132i
\(447\) −2.39096 5.23548i −0.113089 0.247630i
\(448\) 2.42690 1.05365i 0.114660 0.0497802i
\(449\) −28.6560 8.41416i −1.35236 0.397089i −0.476297 0.879285i \(-0.658021\pi\)
−0.876063 + 0.482196i \(0.839839\pi\)
\(450\) −3.01416 6.60010i −0.142089 0.311131i
\(451\) 0.242136 1.68409i 0.0114017 0.0793009i
\(452\) 5.48854 + 4.75585i 0.258159 + 0.223696i
\(453\) 6.56198 + 2.99676i 0.308309 + 0.140800i
\(454\) 20.3664 + 13.0887i 0.955844 + 0.614283i
\(455\) −17.3483 + 19.2765i −0.813299 + 0.903697i
\(456\) 3.16784 + 4.92925i 0.148348 + 0.230833i
\(457\) 11.0602 9.58373i 0.517375 0.448308i −0.356615 0.934251i \(-0.616069\pi\)
0.873990 + 0.485943i \(0.161524\pi\)
\(458\) 7.00211 2.05601i 0.327187 0.0960709i
\(459\) 0.481945i 0.0224953i
\(460\) −13.6959 0.313162i −0.638576 0.0146012i
\(461\) 8.32732i 0.387842i 0.981017 + 0.193921i \(0.0621205\pi\)
−0.981017 + 0.193921i \(0.937879\pi\)
\(462\) −3.42609 + 5.11698i −0.159396 + 0.238064i
\(463\) 16.9260 + 19.5337i 0.786619 + 0.907807i 0.997569 0.0696898i \(-0.0222009\pi\)
−0.210949 + 0.977497i \(0.567655\pi\)
\(464\) −4.42692 + 2.84501i −0.205514 + 0.132076i
\(465\) 5.62247 + 39.1051i 0.260736 + 1.81346i
\(466\) 20.3083 + 13.0513i 0.940763 + 0.604592i
\(467\) −6.27693 + 13.7446i −0.290462 + 0.636022i −0.997463 0.0711902i \(-0.977320\pi\)
0.707001 + 0.707212i \(0.250048\pi\)
\(468\) −5.95481 5.15988i −0.275261 0.238515i
\(469\) −34.3376 + 21.1661i −1.58556 + 0.977359i
\(470\) 19.6736 8.98461i 0.907474 0.414429i
\(471\) 4.27149 14.5474i 0.196820 0.670307i
\(472\) −2.05021 + 6.98236i −0.0943684 + 0.321389i
\(473\) 4.85782 + 10.6371i 0.223363 + 0.489096i
\(474\) −5.47994 + 38.1138i −0.251702 + 1.75063i
\(475\) 5.26847 6.08013i 0.241734 0.278976i
\(476\) 0.207570 + 0.759452i 0.00951396 + 0.0348094i
\(477\) 10.9036 16.9664i 0.499243 0.776837i
\(478\) −1.89543 13.1830i −0.0866948 0.602976i
\(479\) −5.42687 + 3.48764i −0.247960 + 0.159354i −0.658717 0.752390i \(-0.728901\pi\)
0.410757 + 0.911745i \(0.365264\pi\)
\(480\) 4.96825 4.30501i 0.226768 0.196496i
\(481\) 10.4132 3.05759i 0.474801 0.139414i
\(482\) −7.69298 −0.350406
\(483\) 28.3364 7.05280i 1.28935 0.320914i
\(484\) 9.97713 0.453506
\(485\) 48.0458 14.1075i 2.18165 0.640590i
\(486\) 14.7919 12.8172i 0.670973 0.581401i
\(487\) −32.7933 + 21.0750i −1.48601 + 0.954998i −0.489454 + 0.872029i \(0.662804\pi\)
−0.996552 + 0.0829696i \(0.973560\pi\)
\(488\) 1.42973 + 9.94401i 0.0647210 + 0.450144i
\(489\) −8.69890 + 13.5357i −0.393378 + 0.612108i
\(490\) 16.4033 + 11.4352i 0.741025 + 0.516591i
\(491\) 13.6243 15.7233i 0.614857 0.709583i −0.359865 0.933005i \(-0.617177\pi\)
0.974722 + 0.223421i \(0.0717226\pi\)
\(492\) 0.550977 3.83213i 0.0248400 0.172766i
\(493\) −0.650506 1.42441i −0.0292973 0.0641522i
\(494\) 2.46138 8.38268i 0.110743 0.377155i
\(495\) −1.86899 + 6.36520i −0.0840049 + 0.286094i
\(496\) −5.46660 + 2.49651i −0.245458 + 0.112097i
\(497\) −2.86432 4.64676i −0.128482 0.208436i
\(498\) 12.9888 + 11.2548i 0.582041 + 0.504342i
\(499\) −6.55634 + 14.3564i −0.293502 + 0.642679i −0.997733 0.0672909i \(-0.978564\pi\)
0.704232 + 0.709970i \(0.251292\pi\)
\(500\) 4.42204 + 2.84187i 0.197760 + 0.127092i
\(501\) 3.90201 + 27.1391i 0.174329 + 1.21248i
\(502\) −23.3171 + 14.9850i −1.04069 + 0.668813i
\(503\) −5.04222 5.81903i −0.224822 0.259458i 0.632121 0.774870i \(-0.282184\pi\)
−0.856943 + 0.515412i \(0.827639\pi\)
\(504\) −3.38005 + 5.04822i −0.150560 + 0.224866i
\(505\) 20.9508i 0.932297i
\(506\) 3.59209 + 3.25928i 0.159688 + 0.144892i
\(507\) 2.82032i 0.125255i
\(508\) −12.9944 + 3.81551i −0.576535 + 0.169286i
\(509\) −3.19037 + 2.76447i −0.141411 + 0.122533i −0.722694 0.691168i \(-0.757096\pi\)
0.581283 + 0.813701i \(0.302551\pi\)
\(510\) 1.05762 + 1.64569i 0.0468321 + 0.0728722i
\(511\) −5.29387 + 5.88228i −0.234187 + 0.260217i
\(512\) 0.841254 + 0.540641i 0.0371785 + 0.0238932i
\(513\) 3.75092 + 1.71299i 0.165607 + 0.0756304i
\(514\) 7.91495 + 6.85834i 0.349113 + 0.302508i
\(515\) −0.575800 + 4.00478i −0.0253728 + 0.176472i
\(516\) 11.0539 + 24.2047i 0.486621 + 1.06555i
\(517\) −7.34731 2.15736i −0.323134 0.0948808i
\(518\) −3.33248 7.67577i −0.146421 0.337254i
\(519\) −7.73733 16.9424i −0.339631 0.743688i
\(520\) −9.70217 1.39496i −0.425468 0.0611731i
\(521\) −12.6322 + 14.5783i −0.553426 + 0.638687i −0.961678 0.274182i \(-0.911593\pi\)
0.408252 + 0.912869i \(0.366138\pi\)
\(522\) 5.01968 10.9916i 0.219705 0.481087i
\(523\) −7.47299 4.80260i −0.326771 0.210003i 0.366961 0.930236i \(-0.380398\pi\)
−0.693732 + 0.720234i \(0.744035\pi\)
\(524\) 6.00769 0.863776i 0.262447 0.0377342i
\(525\) 18.3552 + 5.76652i 0.801087 + 0.251672i
\(526\) −6.78109 + 5.87585i −0.295670 + 0.256199i
\(527\) −0.503830 1.71589i −0.0219472 0.0747452i
\(528\) −2.32753 −0.101293
\(529\) −2.22927 22.8917i −0.0969246 0.995292i
\(530\) 25.0890i 1.08980i
\(531\) −4.70778 16.0332i −0.204300 0.695783i
\(532\) −6.64849 1.08384i −0.288249 0.0469905i
\(533\) −4.85621 + 3.12090i −0.210346 + 0.135181i
\(534\) 0.496156 0.0713365i 0.0214708 0.00308703i
\(535\) 4.68404 7.28851i 0.202509 0.315110i
\(536\) −13.8682 6.33340i −0.599015 0.273561i
\(537\) 26.6797 + 23.1181i 1.15131 + 0.997620i
\(538\) −3.39072 0.487512i −0.146184 0.0210181i
\(539\) −1.73780 6.86299i −0.0748523 0.295610i
\(540\) 1.30341 4.43900i 0.0560898 0.191024i
\(541\) −6.84440 2.00970i −0.294264 0.0864036i 0.131269 0.991347i \(-0.458095\pi\)
−0.425532 + 0.904943i \(0.639913\pi\)
\(542\) −28.8895 + 13.1934i −1.24091 + 0.566705i
\(543\) −36.1367 5.19567i −1.55077 0.222967i
\(544\) −0.194870 + 0.224891i −0.00835496 + 0.00964214i
\(545\) 34.4227 + 15.7203i 1.47451 + 0.673385i
\(546\) 20.7328 2.58412i 0.887280 0.110590i
\(547\) 1.65674 + 11.5229i 0.0708371 + 0.492683i 0.994096 + 0.108504i \(0.0346062\pi\)
−0.923259 + 0.384178i \(0.874485\pi\)
\(548\) 10.9687 + 17.0677i 0.468561 + 0.729096i
\(549\) −15.1068 17.4342i −0.644743 0.744073i
\(550\) 0.900353 + 3.06632i 0.0383912 + 0.130748i
\(551\) 13.3981 0.570779
\(552\) 8.17375 + 7.41643i 0.347898 + 0.315664i
\(553\) −28.3554 33.9946i −1.20579 1.44560i
\(554\) 10.6640 3.13123i 0.453069 0.133033i
\(555\) −13.6159 15.7135i −0.577961 0.667002i
\(556\) 8.75911 + 13.6294i 0.371469 + 0.578017i
\(557\) 24.8429 3.57187i 1.05263 0.151345i 0.405786 0.913968i \(-0.366998\pi\)
0.646843 + 0.762623i \(0.276089\pi\)
\(558\) 7.46071 11.6091i 0.315837 0.491452i
\(559\) 16.4817 36.0899i 0.697102 1.52644i
\(560\) −0.142073 + 7.55637i −0.00600368 + 0.319315i
\(561\) 0.0985688 0.685561i 0.00416158 0.0289444i
\(562\) −13.6876 + 6.25093i −0.577378 + 0.263680i
\(563\) 38.8211 + 11.3989i 1.63611 + 0.480407i 0.965284 0.261204i \(-0.0841194\pi\)
0.670831 + 0.741610i \(0.265938\pi\)
\(564\) −16.7187 4.90905i −0.703984 0.206708i
\(565\) −18.8706 + 8.61792i −0.793892 + 0.362558i
\(566\) −2.45625 + 17.0836i −0.103244 + 0.718078i
\(567\) −0.527996 + 28.0823i −0.0221738 + 1.17935i
\(568\) 0.857072 1.87673i 0.0359620 0.0787457i
\(569\) 16.1917 25.1948i 0.678792 1.05622i −0.315437 0.948946i \(-0.602151\pi\)
0.994229 0.107275i \(-0.0342125\pi\)
\(570\) −16.5673 + 2.38202i −0.693928 + 0.0997718i
\(571\) −5.19017 8.07606i −0.217202 0.337973i 0.715505 0.698607i \(-0.246197\pi\)
−0.932707 + 0.360635i \(0.882560\pi\)
\(572\) 2.27264 + 2.62276i 0.0950238 + 0.109663i
\(573\) 3.07274 0.902237i 0.128365 0.0376915i
\(574\) 2.85097 + 3.41797i 0.118997 + 0.142663i
\(575\) 6.60869 13.6371i 0.275601 0.568707i
\(576\) −2.29625 −0.0956771
\(577\) 3.97029 + 13.5216i 0.165285 + 0.562910i 0.999927 + 0.0121160i \(0.00385673\pi\)
−0.834641 + 0.550794i \(0.814325\pi\)
\(578\) 11.0746 + 12.7808i 0.460644 + 0.531612i
\(579\) −24.3350 37.8660i −1.01133 1.57366i
\(580\) −2.13927 14.8789i −0.0888283 0.617814i
\(581\) −19.6069 + 2.44379i −0.813429 + 0.101386i
\(582\) −36.6964 16.7587i −1.52111 0.694669i
\(583\) −5.81704 + 6.71322i −0.240917 + 0.278033i
\(584\) −2.96064 0.425676i −0.122512 0.0176146i
\(585\) 20.4737 9.35004i 0.846484 0.386577i
\(586\) −3.27381 0.961278i −0.135240 0.0397100i
\(587\) 8.87308 30.2189i 0.366231 1.24727i −0.546067 0.837741i \(-0.683876\pi\)
0.912298 0.409527i \(-0.134306\pi\)
\(588\) −3.95433 15.6166i −0.163074 0.644019i
\(589\) 15.1453 + 2.17757i 0.624052 + 0.0897252i
\(590\) −15.7101 13.6129i −0.646775 0.560434i
\(591\) −21.1721 9.66895i −0.870902 0.397728i
\(592\) 1.70994 2.66071i 0.0702779 0.109355i
\(593\) −2.51006 + 0.360891i −0.103076 + 0.0148200i −0.193660 0.981069i \(-0.562036\pi\)
0.0905840 + 0.995889i \(0.471127\pi\)
\(594\) −1.37797 + 0.885568i −0.0565388 + 0.0363353i
\(595\) −2.21968 0.361853i −0.0909978 0.0148345i
\(596\) 0.704601 + 2.39965i 0.0288616 + 0.0982935i
\(597\) 33.8364i 1.38483i
\(598\) 0.376183 16.4521i 0.0153833 0.672777i
\(599\) 46.2953 1.89157 0.945786 0.324789i \(-0.105293\pi\)
0.945786 + 0.324789i \(0.105293\pi\)
\(600\) 2.04874 + 6.97736i 0.0836394 + 0.284850i
\(601\) 14.8926 12.9045i 0.607483 0.526387i −0.295901 0.955218i \(-0.595620\pi\)
0.903385 + 0.428831i \(0.141075\pi\)
\(602\) −29.1849 9.16882i −1.18949 0.373693i
\(603\) 34.6522 4.98223i 1.41115 0.202892i
\(604\) −2.63701 1.69470i −0.107298 0.0689565i
\(605\) −11.8394 + 25.9246i −0.481339 + 1.05399i
\(606\) −11.0533 + 12.7562i −0.449010 + 0.518185i
\(607\) 33.2251 + 4.77705i 1.34857 + 0.193895i 0.778469 0.627683i \(-0.215996\pi\)
0.570097 + 0.821577i \(0.306905\pi\)
\(608\) −1.05767 2.31598i −0.0428944 0.0939255i
\(609\) 12.7601 + 29.3907i 0.517066 + 1.19097i
\(610\) −27.5351 8.08505i −1.11487 0.327354i
\(611\) 10.7927 + 23.6327i 0.436626 + 0.956076i
\(612\) 0.0972443 0.676349i 0.00393087 0.0273398i
\(613\) 12.3095 + 10.6662i 0.497174 + 0.430804i 0.867008 0.498294i \(-0.166040\pi\)
−0.369834 + 0.929098i \(0.620585\pi\)
\(614\) −10.6269 4.85316i −0.428868 0.195858i
\(615\) 9.30360 + 5.97906i 0.375157 + 0.241099i
\(616\) 1.79000 1.98896i 0.0721213 0.0801376i
\(617\) 10.2216 + 15.9052i 0.411508 + 0.640319i 0.983703 0.179799i \(-0.0575446\pi\)
−0.572196 + 0.820117i \(0.693908\pi\)
\(618\) 2.46345 2.13459i 0.0990943 0.0858657i
\(619\) −38.7462 + 11.3769i −1.55734 + 0.457276i −0.943284 0.331987i \(-0.892281\pi\)
−0.614056 + 0.789263i \(0.710463\pi\)
\(620\) 17.1669i 0.689441i
\(621\) 7.66090 + 1.28085i 0.307421 + 0.0513988i
\(622\) 16.8647i 0.676213i
\(623\) −0.320613 + 0.478847i −0.0128451 + 0.0191846i
\(624\) 5.17136 + 5.96806i 0.207020 + 0.238914i
\(625\) −25.9229 + 16.6596i −1.03692 + 0.666385i
\(626\) 0.785424 + 5.46274i 0.0313918 + 0.218335i
\(627\) 4.98530 + 3.20386i 0.199094 + 0.127950i
\(628\) −2.73678 + 5.99272i −0.109210 + 0.239136i
\(629\) 0.711285 + 0.616332i 0.0283608 + 0.0245748i
\(630\) −9.10638 14.7732i −0.362807 0.588579i
\(631\) 26.4215 12.0663i 1.05182 0.480351i 0.186964 0.982367i \(-0.440135\pi\)
0.864858 + 0.502016i \(0.167408\pi\)
\(632\) 4.71388 16.0540i 0.187508 0.638594i
\(633\) −7.53651 + 25.6670i −0.299549 + 1.02017i
\(634\) −5.86226 12.8366i −0.232820 0.509805i
\(635\) 5.50563 38.2925i 0.218484 1.51959i
\(636\) −13.2366 + 15.2758i −0.524865 + 0.605726i
\(637\) −13.7365 + 19.7043i −0.544259 + 0.780713i
\(638\) −2.87735 + 4.47725i −0.113916 + 0.177256i
\(639\) 0.674225 + 4.68934i 0.0266719 + 0.185507i
\(640\) −2.40308 + 1.54436i −0.0949900 + 0.0610464i
\(641\) 21.0452 18.2358i 0.831237 0.720271i −0.131323 0.991340i \(-0.541923\pi\)
0.962560 + 0.271069i \(0.0873771\pi\)
\(642\) −6.69726 + 1.96649i −0.264320 + 0.0776112i
\(643\) 3.81736 0.150542 0.0752710 0.997163i \(-0.476018\pi\)
0.0752710 + 0.997163i \(0.476018\pi\)
\(644\) −12.6237 + 1.28112i −0.497445 + 0.0504832i
\(645\) −76.0106 −2.99291
\(646\) 0.726954 0.213453i 0.0286016 0.00839819i
\(647\) −36.3263 + 31.4769i −1.42813 + 1.23749i −0.499590 + 0.866262i \(0.666516\pi\)
−0.928544 + 0.371223i \(0.878938\pi\)
\(648\) −8.93074 + 5.73944i −0.350832 + 0.225466i
\(649\) 1.04742 + 7.28496i 0.0411148 + 0.285960i
\(650\) 5.86200 9.12144i 0.229926 0.357772i
\(651\) 9.64731 + 35.2973i 0.378108 + 1.38341i
\(652\) 4.57847 5.28383i 0.179307 0.206931i
\(653\) −4.86423 + 33.8315i −0.190352 + 1.32393i 0.640725 + 0.767770i \(0.278634\pi\)
−0.831077 + 0.556157i \(0.812275\pi\)
\(654\) −12.6650 27.7325i −0.495240 1.08443i
\(655\) −4.88460 + 16.6354i −0.190857 + 0.649999i
\(656\) −0.473954 + 1.61414i −0.0185048 + 0.0630215i
\(657\) 6.24762 2.85319i 0.243743 0.111314i
\(658\) 17.0526 10.5114i 0.664781 0.409778i
\(659\) 3.56702 + 3.09084i 0.138951 + 0.120402i 0.721563 0.692348i \(-0.243424\pi\)
−0.582612 + 0.812750i \(0.697969\pi\)
\(660\) 2.76196 6.04785i 0.107509 0.235412i
\(661\) 1.71395 + 1.10149i 0.0666651 + 0.0428431i 0.573549 0.819171i \(-0.305566\pi\)
−0.506884 + 0.862014i \(0.669203\pi\)
\(662\) 4.15353 + 28.8884i 0.161432 + 1.12278i
\(663\) −1.97687 + 1.27046i −0.0767751 + 0.0493404i
\(664\) −4.89052 5.64396i −0.189789 0.219028i
\(665\) 10.7057 15.9893i 0.415149 0.620040i
\(666\) 7.26256i 0.281419i
\(667\) 24.3710 6.55470i 0.943647 0.253799i
\(668\) 11.9139i 0.460963i
\(669\) −55.7481 + 16.3691i −2.15535 + 0.632867i
\(670\) 32.9135 28.5197i 1.27156 1.10181i
\(671\) 5.49318 + 8.54755i 0.212062 + 0.329975i
\(672\) 4.07313 4.52586i 0.157124 0.174589i
\(673\) 11.3437 + 7.29014i 0.437267 + 0.281014i 0.740697 0.671840i \(-0.234496\pi\)
−0.303430 + 0.952854i \(0.598132\pi\)
\(674\) −5.59418 2.55477i −0.215480 0.0984062i
\(675\) 3.86764 + 3.35133i 0.148866 + 0.128993i
\(676\) −0.174407 + 1.21303i −0.00670796 + 0.0466549i
\(677\) −9.78493 21.4260i −0.376065 0.823468i −0.999146 0.0413110i \(-0.986847\pi\)
0.623081 0.782157i \(-0.285881\pi\)
\(678\) 16.0363 + 4.70869i 0.615872 + 0.180836i
\(679\) 42.5426 18.4701i 1.63264 0.708817i
\(680\) −0.353117 0.773218i −0.0135414 0.0296515i
\(681\) 55.1479 + 7.92907i 2.11327 + 0.303843i
\(682\) −3.98026 + 4.59346i −0.152412 + 0.175893i
\(683\) 20.2036 44.2396i 0.773068 1.69278i 0.0532891 0.998579i \(-0.483030\pi\)
0.719779 0.694203i \(-0.244243\pi\)
\(684\) 4.91831 + 3.16081i 0.188056 + 0.120856i
\(685\) −57.3648 + 8.24782i −2.19180 + 0.315133i
\(686\) 16.3862 + 8.63098i 0.625626 + 0.329532i
\(687\) 12.6926 10.9982i 0.484252 0.419607i
\(688\) −3.25751 11.0941i −0.124191 0.422957i
\(689\) 30.1380 1.14817
\(690\) −28.9703 + 12.4380i −1.10288 + 0.473506i
\(691\) 26.1492i 0.994761i −0.867532 0.497381i \(-0.834295\pi\)
0.867532 0.497381i \(-0.165705\pi\)
\(692\) 2.28014 + 7.76545i 0.0866780 + 0.295198i
\(693\) −0.988612 + 6.06433i −0.0375542 + 0.230365i
\(694\) −13.0556 + 8.39031i −0.495583 + 0.318492i
\(695\) −45.8088 + 6.58631i −1.73763 + 0.249833i
\(696\) −6.54738 + 10.1879i −0.248178 + 0.386172i
\(697\) −0.455365 0.207958i −0.0172482 0.00787698i
\(698\) −13.1399 11.3858i −0.497352 0.430958i
\(699\) 54.9905 + 7.90644i 2.07993 + 0.299049i
\(700\) −7.53804 3.61528i −0.284911 0.136645i
\(701\) −4.16144 + 14.1726i −0.157175 + 0.535290i −0.999996 0.00290491i \(-0.999075\pi\)
0.842820 + 0.538195i \(0.180894\pi\)
\(702\) 5.33232 + 1.56571i 0.201255 + 0.0590939i
\(703\) −7.32498 + 3.34521i −0.276267 + 0.126167i
\(704\) 1.00108 + 0.143933i 0.0377295 + 0.00542468i
\(705\) 32.5950 37.6166i 1.22760 1.41672i
\(706\) 17.9582 + 8.20121i 0.675864 + 0.308657i
\(707\) −2.40003 19.2558i −0.0902624 0.724187i
\(708\) 2.38339 + 16.5768i 0.0895732 + 0.622995i
\(709\) 4.23987 + 6.59737i 0.159232 + 0.247769i 0.911698 0.410862i \(-0.134772\pi\)
−0.752466 + 0.658631i \(0.771136\pi\)
\(710\) 3.85945 + 4.45404i 0.144842 + 0.167157i
\(711\) 10.8242 + 36.8640i 0.405941 + 1.38251i
\(712\) −0.217810 −0.00816276
\(713\) 28.6144 3.44851i 1.07162 0.129148i
\(714\) 1.16058 + 1.39139i 0.0434334 + 0.0520713i
\(715\) −9.51183 + 2.79293i −0.355722 + 0.104449i
\(716\) −10.0454 11.5930i −0.375415 0.433252i
\(717\) −16.5710 25.7850i −0.618857 0.962960i
\(718\) 17.2199 2.47585i 0.642640 0.0923977i
\(719\) 3.56664 5.54980i 0.133013 0.206973i −0.768357 0.640021i \(-0.778926\pi\)
0.901371 + 0.433048i \(0.142562\pi\)
\(720\) 2.72485 5.96658i 0.101549 0.222361i
\(721\) −0.0704452 + 3.74674i −0.00262352 + 0.139536i
\(722\) 1.78143 12.3901i 0.0662980 0.461113i
\(723\) −16.1044 + 7.35463i −0.598929 + 0.273522i
\(724\) 15.2212 + 4.46935i 0.565691 + 0.166102i
\(725\) 15.9544 + 4.68465i 0.592533 + 0.173983i
\(726\) 20.8860 9.53832i 0.775153 0.354000i
\(727\) 0.319517 2.22229i 0.0118502 0.0824201i −0.983038 0.183401i \(-0.941289\pi\)
0.994888 + 0.100981i \(0.0321983\pi\)
\(728\) −9.07702 0.170664i −0.336417 0.00632523i
\(729\) 5.48150 12.0028i 0.203019 0.444549i
\(730\) 4.61933 7.18782i 0.170969 0.266033i
\(731\) 3.40566 0.489659i 0.125963 0.0181107i
\(732\) 12.4996 + 19.4498i 0.462000 + 0.718886i
\(733\) 8.27622 + 9.55127i 0.305689 + 0.352784i 0.887721 0.460382i \(-0.152288\pi\)
−0.582032 + 0.813166i \(0.697742\pi\)
\(734\) −27.2454 + 7.99998i −1.00565 + 0.295284i
\(735\) 45.2708 + 8.25655i 1.66984 + 0.304547i
\(736\) −3.05693 3.69529i −0.112680 0.136210i
\(737\) −15.4193 −0.567977
\(738\) −1.08832 3.70647i −0.0400615 0.136437i
\(739\) −12.9573 14.9536i −0.476643 0.550075i 0.465604 0.884993i \(-0.345837\pi\)
−0.942247 + 0.334918i \(0.891292\pi\)
\(740\) 4.88451 + 7.60044i 0.179558 + 0.279398i
\(741\) −2.86138 19.9013i −0.105115 0.731094i
\(742\) −2.87409 23.0592i −0.105511 0.846530i
\(743\) 33.1441 + 15.1364i 1.21594 + 0.555300i 0.916967 0.398962i \(-0.130630\pi\)
0.298970 + 0.954262i \(0.403357\pi\)
\(744\) −9.05702 + 10.4524i −0.332046 + 0.383202i
\(745\) −7.07138 1.01671i −0.259075 0.0372494i
\(746\) 11.0237 5.03434i 0.403605 0.184320i
\(747\) 16.4538 + 4.83128i 0.602015 + 0.176767i
\(748\) −0.0847895 + 0.288767i −0.00310021 + 0.0105584i
\(749\) 3.47014 7.23542i 0.126796 0.264376i
\(750\) 11.9739 + 1.72159i 0.437226 + 0.0628637i
\(751\) −10.3281 8.94935i −0.376878 0.326566i 0.445739 0.895163i \(-0.352941\pi\)
−0.822616 + 0.568597i \(0.807486\pi\)
\(752\) 6.88719 + 3.14527i 0.251150 + 0.114696i
\(753\) −34.4858 + 53.6610i −1.25673 + 1.95552i
\(754\) 17.8732 2.56978i 0.650904 0.0935858i
\(755\) 7.53274 4.84100i 0.274144 0.176182i
\(756\) 0.689444 4.22918i 0.0250748 0.153814i
\(757\) −5.20409 17.7235i −0.189146 0.644172i −0.998391 0.0567008i \(-0.981942\pi\)
0.809245 0.587471i \(-0.199876\pi\)
\(758\) 19.0948i 0.693553i
\(759\) 10.6356 + 3.38882i 0.386047 + 0.123007i
\(760\) 7.27295 0.263818
\(761\) −9.65131 32.8693i −0.349860 1.19151i −0.927061 0.374911i \(-0.877673\pi\)
0.577201 0.816602i \(-0.304145\pi\)
\(762\) −23.5547 + 20.4103i −0.853298 + 0.739386i
\(763\) 33.4386 + 10.5052i 1.21056 + 0.380313i
\(764\) −1.37739 + 0.198039i −0.0498322 + 0.00716478i
\(765\) 1.64203 + 1.05527i 0.0593678 + 0.0381534i
\(766\) −8.51498 + 18.6452i −0.307659 + 0.673679i
\(767\) 16.3524 18.8716i 0.590450 0.681415i
\(768\) 2.27793 + 0.327517i 0.0821979 + 0.0118183i
\(769\) −9.20595 20.1582i −0.331975 0.726924i 0.667874 0.744274i \(-0.267204\pi\)
−0.999849 + 0.0173501i \(0.994477\pi\)
\(770\) 3.04402 + 7.01136i 0.109699 + 0.252672i
\(771\) 23.1258 + 6.79034i 0.832854 + 0.244548i
\(772\) 8.12495 + 17.7912i 0.292424 + 0.640318i
\(773\) 7.20989 50.1459i 0.259322 1.80362i −0.278363 0.960476i \(-0.589792\pi\)
0.537685