Properties

Label 322.2.k.a.97.8
Level $322$
Weight $2$
Character 322.97
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 97.8
Character \(\chi\) \(=\) 322.97
Dual form 322.2.k.a.83.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.959493 - 0.281733i) q^{2} +(1.73925 + 1.50707i) q^{3} +(0.841254 + 0.540641i) q^{4} +(-0.406529 + 2.82747i) q^{5} +(-1.24421 - 1.93603i) q^{6} +(2.38557 + 1.14413i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(0.326790 + 2.27288i) q^{9} +O(q^{10})\) \(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} +(2.38557 + 1.14413i) 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} +(-1.96660 - 1.76988i) 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} +(2.42482 + 5.58516i) 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} +(1.38831 + 2.25224i) 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} +(-4.20480 + 6.28001i) 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} +(-0.753081 - 6.04207i) 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} +(4.38192 + 5.45882i) 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} +(-0.697541 - 2.55214i) 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} +(-1.82089 + 5.79601i) 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} +(0.430533 - 2.64097i) 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} +(-0.979672 + 6.00949i) 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} +(-2.66650 - 6.47223i) q^{98} +(2.11249 - 0.964743i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q - 8q^{2} - 8q^{4} - 11q^{7} - 8q^{8} - 6q^{9} + O(q^{10}) \) \( 80q - 8q^{2} - 8q^{4} - 11q^{7} - 8q^{8} - 6q^{9} + 11q^{14} - 8q^{16} - 6q^{18} - 33q^{21} + 18q^{23} - 58q^{25} - 11q^{28} + 16q^{29} + 22q^{30} - 8q^{32} + 47q^{35} + 16q^{36} - 22q^{37} - 30q^{39} - 22q^{42} + 44q^{43} - 4q^{46} + 17q^{49} + 8q^{50} - 88q^{51} + 44q^{53} + 11q^{56} - 22q^{57} - 28q^{58} + 121q^{63} - 8q^{64} - 154q^{65} + 58q^{70} + 42q^{71} - 28q^{72} + 22q^{74} + 38q^{77} + 58q^{78} - 88q^{79} - 26q^{81} - 11q^{84} + 26q^{85} - 132q^{86} + 22q^{88} - 4q^{92} + 152q^{93} - 68q^{95} - 27q^{98} - 44q^{99} + O(q^{100}) \)

Character values

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

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

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 \(-0.0414379\pi\)
0.0126183 + 0.999920i \(0.495983\pi\)
\(4\) 0.841254 + 0.540641i 0.420627 + 0.270320i
\(5\) −0.406529 + 2.82747i −0.181805 + 1.26448i 0.670686 + 0.741741i \(0.266000\pi\)
−0.852491 + 0.522741i \(0.824909\pi\)
\(6\) −1.24421 1.93603i −0.507946 0.790379i
\(7\) 2.38557 + 1.14413i 0.901662 + 0.432441i
\(8\) −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 0.905319 0.424732i \(-0.139632\pi\)
−0.991230 + 0.132145i \(0.957814\pi\)
\(12\) 0.648368 + 2.20814i 0.187168 + 0.637434i
\(13\) −3.12131 1.42545i −0.865696 0.395350i −0.0674792 0.997721i \(-0.521496\pi\)
−0.798216 + 0.602371i \(0.794223\pi\)
\(14\) −1.96660 1.76988i −0.525596 0.473020i
\(15\) −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 \(-0.693307\pi\)
0.509931 + 0.860215i \(0.329671\pi\)
\(18\) 0.326790 2.27288i 0.0770252 0.535722i
\(19\) 2.14189 + 1.37651i 0.491383 + 0.315793i 0.762761 0.646680i \(-0.223843\pi\)
−0.271379 + 0.962473i \(0.587480\pi\)
\(20\) −1.87064 + 2.15883i −0.418287 + 0.482729i
\(21\) 2.42482 + 5.58516i 0.529140 + 1.21878i
\(22\) 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
\(28\) 1.38831 + 2.25224i 0.262366 + 0.425634i
\(29\) −4.42692 + 2.84501i −0.822058 + 0.528304i −0.882745 0.469852i \(-0.844307\pi\)
0.0606874 + 0.998157i \(0.480671\pi\)
\(30\) 5.97986 2.73091i 1.09177 0.498594i
\(31\) 4.54182 3.93551i 0.815735 0.706838i −0.143438 0.989659i \(-0.545816\pi\)
0.959173 + 0.282821i \(0.0912703\pi\)
\(32\) −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
\(35\) −4.20480 + 6.28001i −0.710741 + 1.06152i
\(36\) −0.953897 + 2.08874i −0.158983 + 0.348124i
\(37\) 3.13060 0.450112i 0.514668 0.0739980i 0.119913 0.992784i \(-0.461739\pi\)
0.394755 + 0.918786i \(0.370829\pi\)
\(38\) −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 \(-0.412610\pi\)
−0.0110544 + 0.999939i \(0.503519\pi\)
\(42\) −0.753081 6.04207i −0.116203 0.932312i
\(43\) 8.73830 + 7.57178i 1.33258 + 1.15469i 0.975349 + 0.220668i \(0.0708239\pi\)
0.357229 + 0.934017i \(0.383722\pi\)
\(44\) 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
\(49\) 4.38192 + 5.45882i 0.625989 + 0.779832i
\(50\) 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 0.217382 0.976087i \(-0.430248\pi\)
0.880032 + 0.474914i \(0.157521\pi\)
\(54\) −1.22400 + 1.06060i −0.166565 + 0.144329i
\(55\) 2.85962 0.411151i 0.385591 0.0554396i
\(56\) −0.697541 2.55214i −0.0932129 0.341045i
\(57\) 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 \(-0.520719\pi\)
−0.796744 + 0.604317i \(0.793446\pi\)
\(60\) −6.50702 + 0.935568i −0.840052 + 0.120781i
\(61\) −6.57890 7.59246i −0.842342 0.972115i 0.157539 0.987513i \(-0.449644\pi\)
−0.999881 + 0.0153978i \(0.995099\pi\)
\(62\) −5.46660 + 2.49651i −0.694259 + 0.317058i
\(63\) −1.82089 + 5.79601i −0.229410 + 0.730228i
\(64\) −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 −0.0871347 0.996197i \(-0.527771\pi\)
0.611887 0.790945i \(-0.290411\pi\)
\(68\) −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 0.162146 0.986767i \(-0.448159\pi\)
−0.397081 + 0.917784i \(0.629977\pi\)
\(72\) 1.50372 1.73539i 0.177216 0.204518i
\(73\) −1.61711 + 2.51626i −0.189268 + 0.294507i −0.922900 0.385041i \(-0.874187\pi\)
0.733632 + 0.679547i \(0.237824\pi\)
\(74\) −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
\(77\) 0.430533 2.64097i 0.0490638 0.300967i
\(78\) 1.12384 + 7.81650i 0.127250 + 0.885044i
\(79\) −15.2197 6.95062i −1.71235 0.782006i −0.996485 0.0837722i \(-0.973303\pi\)
−0.715870 0.698234i \(-0.753970\pi\)
\(80\) −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 0.961193 + 0.275878i \(0.0889685\pi\)
−0.844534 + 0.535502i \(0.820122\pi\)
\(84\) −0.979672 + 6.00949i −0.106891 + 0.655689i
\(85\) −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 \(-0.776402\pi\)
0.748140 + 0.663541i \(0.230947\pi\)
\(90\) 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 −0.324799 0.945783i \(-0.605297\pi\)
0.578100 0.815966i \(-0.303794\pi\)
\(98\) −2.66650 6.47223i −0.269357 0.653794i
\(99\) 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 \(-0.426559\pi\)
0.493683 + 0.869642i \(0.335650\pi\)
\(102\) 0.622938 + 0.284486i 0.0616801 + 0.0281683i
\(103\) −1.35901 + 0.399041i −0.133907 + 0.0393187i −0.347999 0.937495i \(-0.613139\pi\)
0.214092 + 0.976813i \(0.431321\pi\)
\(104\) 0.966737 + 3.29240i 0.0947963 + 0.322847i
\(105\) −16.7776 + 4.58559i −1.63733 + 0.447508i
\(106\) −8.69360 + 1.24995i −0.844397 + 0.121406i
\(107\) −2.29218 + 1.98619i −0.221593 + 0.192012i −0.758582 0.651578i \(-0.774107\pi\)
0.536988 + 0.843590i \(0.319562\pi\)
\(108\) 1.47322 0.672799i 0.141761 0.0647401i
\(109\) 7.16221 + 11.1446i 0.686016 + 1.06746i 0.993269 + 0.115833i \(0.0369539\pi\)
−0.307253 + 0.951628i \(0.599410\pi\)
\(110\) −2.85962 0.411151i −0.272654 0.0392017i
\(111\) 6.12325 + 3.93517i 0.581193 + 0.373510i
\(112\) −0.0497360 + 2.64528i −0.00469961 + 0.249956i
\(113\) 2.04605 6.96821i 0.192476 0.655514i −0.805539 0.592543i \(-0.798124\pi\)
0.998015 0.0629711i \(-0.0200576\pi\)
\(114\) 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
\(119\) −0.781262 + 0.0973762i −0.0716182 + 0.00892646i
\(120\) 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
\(126\) 3.38005 5.04822i 0.301119 0.449732i
\(127\) −12.9944 + 3.81551i −1.15307 + 0.338572i −0.801736 0.597678i \(-0.796090\pi\)
−0.351334 + 0.936250i \(0.614272\pi\)
\(128\) 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 \(-0.721784\pi\)
0.159361 + 0.987220i \(0.449057\pi\)
\(132\) 1.95804 1.25836i 0.170425 0.109526i
\(133\) 3.53472 + 5.73436i 0.306499 + 0.497232i
\(134\) −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 \(-0.666251\pi\)
0.498868 0.866678i \(-0.333749\pi\)
\(138\) −2.86657 + 10.6582i −0.244019 + 0.907283i
\(139\) 16.2014i 1.37418i 0.726572 + 0.687090i \(0.241112\pi\)
−0.726572 + 0.687090i \(0.758888\pi\)
\(140\) −6.93253 + 3.00979i −0.585906 + 0.254374i
\(141\) −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
\(147\) −0.605560 + 16.0981i −0.0499457 + 1.32775i
\(148\) 2.87698 + 1.31387i 0.236486 + 0.108000i
\(149\) −0.704601 2.39965i −0.0577232 0.196587i 0.925583 0.378544i \(-0.123575\pi\)
−0.983307 + 0.181957i \(0.941757\pi\)
\(150\) 2.04874 + 6.97736i 0.167279 + 0.569699i
\(151\) −1.30217 + 2.85135i −0.105969 + 0.232040i −0.955187 0.296002i \(-0.904346\pi\)
0.849218 + 0.528042i \(0.177074\pi\)
\(152\) −0.362343 2.52015i −0.0293899 0.204411i
\(153\) −0.447469 0.516407i −0.0361757 0.0417490i
\(154\) −1.15714 + 2.41270i −0.0932451 + 0.194421i
\(155\) 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 \(-0.233505\pi\)
−0.300464 + 0.953793i \(0.597142\pi\)
\(158\) 12.6450 + 10.9570i 1.00598 + 0.871690i
\(159\) 19.3941 + 5.69461i 1.53805 + 0.451612i
\(160\) 2.85654 0.225830
\(161\) −3.62421 12.1600i −0.285627 0.958341i
\(162\) −10.6160 −0.834071
\(163\) 6.70831 + 1.96974i 0.525435 + 0.154282i 0.533683 0.845684i \(-0.320807\pi\)
−0.00824839 + 0.999966i \(0.502626\pi\)
\(164\) 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 \(-0.334314\pi\)
−0.995760 + 0.0919889i \(0.970678\pi\)
\(168\) 2.63306 5.49006i 0.203145 0.423567i
\(169\) −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 0.999632 + 0.0271305i \(0.00863698\pi\)
−0.826276 + 0.563265i \(0.809545\pi\)
\(174\) 11.0160 + 5.03084i 0.835122 + 0.381387i
\(175\) −6.21415 5.59254i −0.469746 0.422757i
\(176\) 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 0.729438 + 0.684047i \(0.239782\pi\)
−0.892609 + 0.450832i \(0.851127\pi\)
\(180\) −5.51807 3.54625i −0.411292 0.264322i
\(181\) −10.3886 + 11.9891i −0.772177 + 0.891139i −0.996519 0.0833711i \(-0.973431\pi\)
0.224342 + 0.974511i \(0.427977\pi\)
\(182\) 3.61549 + 8.32765i 0.267998 + 0.617286i
\(183\) 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
\(189\) 3.64769 2.24848i 0.265331 0.163553i
\(190\) 6.11840 3.93205i 0.443875 0.285261i
\(191\) −1.26580 + 0.578072i −0.0915901 + 0.0418278i −0.460683 0.887565i \(-0.652396\pi\)
0.369093 + 0.929392i \(0.379668\pi\)
\(192\) −1.73925 + 1.50707i −0.125520 + 0.108763i
\(193\) −2.78349 19.3596i −0.200360 1.39353i −0.803219 0.595684i \(-0.796881\pi\)
0.602859 0.797848i \(-0.294028\pi\)
\(194\) −7.28208 + 15.9455i −0.522823 + 1.14482i
\(195\) 21.6440 6.35526i 1.54996 0.455110i
\(196\) 0.735047 + 6.96130i 0.0525033 + 0.497236i
\(197\) 4.20141 9.19981i 0.299338 0.655459i −0.698873 0.715246i \(-0.746315\pi\)
0.998211 + 0.0597866i \(0.0190420\pi\)
\(198\) −2.29872 + 0.330506i −0.163363 + 0.0234880i
\(199\) 9.62827 + 11.1116i 0.682530 + 0.787682i 0.986282 0.165069i \(-0.0527848\pi\)
−0.303752 + 0.952751i \(0.598239\pi\)
\(200\) 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
\(203\) −13.8158 + 1.72200i −0.969679 + 0.120860i
\(204\) −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
\(210\) 17.3899 + 0.326961i 1.20002 + 0.0225624i
\(211\) 9.77858 + 6.28431i 0.673185 + 0.432630i 0.832072 0.554667i \(-0.187154\pi\)
−0.158887 + 0.987297i \(0.550791\pi\)
\(212\) 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
\(217\) 15.3376 4.19201i 1.04118 0.284572i
\(218\) −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 \(-0.956954\pi\)
−0.546992 + 0.837138i \(0.684227\pi\)
\(224\) 0.792984 2.52412i 0.0529835 0.168650i
\(225\) 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 0.0761525 0.997096i \(-0.475736\pi\)
0.976110 0.217279i \(-0.0697181\pi\)
\(228\) −1.65079 + 5.62206i −0.109326 + 0.372330i
\(229\) 7.29772 0.482247 0.241124 0.970494i \(-0.422484\pi\)
0.241124 + 0.970494i \(0.422484\pi\)
\(230\) −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 −0.0552048 + 0.998475i \(0.517581\pi\)
−0.980456 + 0.196741i \(0.936964\pi\)
\(234\) −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
\(238\) 0.777049 + 0.126675i 0.0503686 + 0.00821113i
\(239\) −1.89543 13.1830i −0.122605 0.852736i −0.954587 0.297933i \(-0.903703\pi\)
0.831982 0.554803i \(-0.187206\pi\)
\(240\) −5.97986 2.73091i −0.385998 0.176279i
\(241\) −7.38136 + 2.16736i −0.475475 + 0.139612i −0.510685 0.859768i \(-0.670608\pi\)
0.0352099 + 0.999380i \(0.488790\pi\)
\(242\) −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
\(245\) −17.2160 + 10.1706i −1.09989 + 0.649775i
\(246\) −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 \(-0.748061\pi\)
−0.975834 + 0.218513i \(0.929879\pi\)
\(252\) −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 \(-0.712264\pi\)
0.971705 + 0.236196i \(0.0759007\pi\)
\(258\) 3.78690 26.3384i 0.235762 1.63976i
\(259\) 7.98327 + 2.50804i 0.496056 + 0.155842i
\(260\) 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 0.650843 0.759212i \(-0.274416\pi\)
−0.147563 + 0.989053i \(0.547143\pi\)
\(264\) −2.23324 + 0.655740i −0.137447 + 0.0403580i
\(265\) 7.06839 + 24.0727i 0.434208 + 1.47878i
\(266\) −1.77599 6.49793i −0.108893 0.398414i
\(267\) −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 \(-0.669666\pi\)
0.318150 + 0.948040i \(0.396938\pi\)
\(270\) −2.50122 3.89198i −0.152220 0.236858i
\(271\) −31.4363 4.51985i −1.90962 0.274562i −0.917292 0.398215i \(-0.869630\pi\)
−0.992325 + 0.123654i \(0.960539\pi\)
\(272\) −0.250335 0.160881i −0.0151788 0.00975482i
\(273\) 0.392759 20.8895i 0.0237709 1.26429i
\(274\) −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
\(280\) 7.49968 0.934757i 0.448191 0.0558624i
\(281\) 14.8943 + 2.14147i 0.888518 + 0.127750i 0.571434 0.820648i \(-0.306387\pi\)
0.317084 + 0.948398i \(0.397296\pi\)
\(282\) 14.6584 9.42040i 0.872897 0.560977i
\(283\) −7.16977 15.6996i −0.426198 0.933244i −0.993928 0.110029i \(-0.964906\pi\)
0.567730 0.823215i \(-0.307822\pi\)
\(284\) −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
\(287\) 3.69844 + 2.47630i 0.218312 + 0.146172i
\(288\) 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 \(-0.713596\pi\)
0.454104 + 0.890949i \(0.349959\pi\)
\(294\) 5.11640 15.2754i 0.298394 0.890881i
\(295\) 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
\(301\) 12.1827 + 28.0608i 0.702201 + 1.61740i
\(302\) 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 \(-0.835463\pi\)
0.365443 + 0.930834i \(0.380917\pi\)
\(308\) 1.79000 1.98896i 0.101995 0.113332i
\(309\) −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 −0.977411 0.211347i \(-0.932215\pi\)
0.707987 0.706225i \(-0.249603\pi\)
\(312\) −3.28048 + 7.18325i −0.185721 + 0.406672i
\(313\) −0.785424 5.46274i −0.0443948 0.308772i −0.999905 0.0138131i \(-0.995603\pi\)
0.955510 0.294959i \(-0.0953061\pi\)
\(314\) −4.31427 4.97893i −0.243468 0.280978i
\(315\) −15.6478 7.50475i −0.881653 0.422845i
\(316\) −9.04587 14.0756i −0.508870 0.791817i
\(317\) 2.00832 13.9682i 0.112799 0.784531i −0.852377 0.522928i \(-0.824840\pi\)
0.965175 0.261603i \(-0.0842512\pi\)
\(318\) −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
\(322\) 0.0515384 + 12.6885i 0.00287212 + 0.707101i
\(323\) −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
\(329\) −8.66268 + 18.0621i −0.477589 + 0.995798i
\(330\) −4.35396 5.02474i −0.239678 0.276603i
\(331\) 4.15353 + 28.8884i 0.228299 + 1.58785i 0.705274 + 0.708935i \(0.250824\pi\)
−0.476975 + 0.878917i \(0.658267\pi\)
\(332\) −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
\(336\) −4.07313 + 4.52586i −0.222207 + 0.246906i
\(337\) 4.64781 4.02735i 0.253182 0.219384i −0.519017 0.854764i \(-0.673702\pi\)
0.772200 + 0.635380i \(0.219157\pi\)
\(338\) 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
\(343\) 4.20779 + 18.0359i 0.227199 + 0.973848i
\(344\) 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 0.655809 0.754927i \(-0.272328\pi\)
0.143558 + 0.989642i \(0.454146\pi\)
\(348\) −9.15243 7.93063i −0.490622 0.425126i
\(349\) −9.39988 + 14.6265i −0.503164 + 0.782939i −0.996202 0.0870689i \(-0.972250\pi\)
0.493038 + 0.870008i \(0.335886\pi\)
\(350\) 4.38683 + 7.11673i 0.234486 + 0.380405i
\(351\) −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 \(-0.551194\pi\)
0.954258 + 0.298985i \(0.0966482\pi\)
\(354\) 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
\(357\) −1.50556 1.00805i −0.0796828 0.0533519i
\(358\) 6.37237 13.9536i 0.336790 0.737468i
\(359\) −17.2199 + 2.47585i −0.908831 + 0.130670i −0.580846 0.814013i \(-0.697278\pi\)
−0.327984 + 0.944683i \(0.606369\pi\)
\(360\) 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
\(364\) −1.12287 9.00892i −0.0588543 0.472196i
\(365\) −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 \(-0.765705\pi\)
−0.741120 + 0.671372i \(0.765705\pi\)
\(368\) 1.89202 4.40684i 0.0986282 0.229723i
\(369\) 3.86294i 0.201097i
\(370\) 2.54536 8.66869i 0.132327 0.450664i
\(371\) 23.2335 + 0.436831i 1.20622 + 0.0226791i
\(372\) 11.6349 + 7.47730i 0.603242 + 0.387680i
\(373\) −11.9955 1.72469i −0.621102 0.0893010i −0.175422 0.984493i \(-0.556129\pi\)
−0.445680 + 0.895192i \(0.647038\pi\)
\(374\) −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
\(378\) −4.13340 + 1.12972i −0.212599 + 0.0581068i
\(379\) −5.37962 18.3213i −0.276332 0.941101i −0.974353 0.225024i \(-0.927754\pi\)
0.698021 0.716077i \(-0.254064\pi\)
\(380\) −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 \(-0.402717\pi\)
−0.986773 + 0.162106i \(0.948171\pi\)
\(384\) 2.09339 0.956019i 0.106828 0.0487866i
\(385\) 7.29224 + 2.29095i 0.371647 + 0.116758i
\(386\) −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 0.739573 + 0.673077i \(0.235028\pi\)
−0.986061 + 0.166385i \(0.946791\pi\)
\(390\) −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 0.925176 + 0.379539i \(0.123918\pi\)
−0.0390907 + 0.999236i \(0.512446\pi\)
\(398\) −6.10776 13.3741i −0.306154 0.670384i
\(399\) −2.49431 + 15.3006i −0.124872 + 0.765986i
\(400\) −0.449692 3.12768i −0.0224846 0.156384i
\(401\) −1.29640 0.592048i −0.0647393 0.0295654i 0.382782 0.923839i \(-0.374966\pi\)
−0.447522 + 0.894273i \(0.647693\pi\)
\(402\) −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
\(406\) 13.7413 + 2.24012i 0.681969 + 0.111175i
\(407\) −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 \(-0.786743\pi\)
−0.927036 + 0.374973i \(0.877652\pi\)
\(410\) 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 −0.577118 0.816661i \(-0.695823\pi\)
0.783820 0.620988i \(-0.213268\pi\)
\(420\) −16.5934 5.21302i −0.809674 0.254369i
\(421\) −4.51873 + 2.06364i −0.220230 + 0.100575i −0.522475 0.852655i \(-0.674991\pi\)
0.302245 + 0.953230i \(0.402264\pi\)
\(422\) −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
\(427\) −7.00768 25.6395i −0.339126 1.24078i
\(428\) −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 0.997280 0.0737023i \(-0.0234815\pi\)
−0.481327 + 0.876541i \(0.659845\pi\)
\(432\) 1.60310 + 0.230490i 0.0771290 + 0.0110895i
\(433\) 22.2736 + 14.3144i 1.07040 + 0.687905i 0.952320 0.305099i \(-0.0986897\pi\)
0.118080 + 0.993004i \(0.462326\pi\)
\(434\) −15.8973 0.298898i −0.763096 0.0143475i
\(435\) 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 \(-0.985654\pi\)
0.864758 + 0.502190i \(0.167472\pi\)
\(440\) −2.18338 1.89191i −0.104088 0.0901932i
\(441\) −10.9753 + 11.7435i −0.522632 + 0.559213i
\(442\) −1.01070 0.145317i −0.0480742 0.00691203i
\(443\) −31.5257 + 20.2603i −1.49783 + 0.962598i −0.502656 + 0.864486i \(0.667644\pi\)
−0.995175 + 0.0981118i \(0.968720\pi\)
\(444\) 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
\(448\) −1.47199 + 2.19847i −0.0695449 + 0.103868i
\(449\) −28.6560 + 8.41416i −1.35236 + 0.397089i −0.876063 0.482196i \(-0.839839\pi\)
−0.476297 + 0.879285i \(0.658021\pi\)
\(450\) −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
\(455\) 22.0764 13.6081i 1.03496 0.637958i
\(456\) 3.16784 4.92925i 0.148348 0.230833i
\(457\) 11.0602 + 9.58373i 0.517375 + 0.448308i 0.873990 0.485943i \(-0.161524\pi\)
−0.356615 + 0.934251i \(0.616069\pi\)
\(458\) −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 \(0.937879\pi\)
\(462\) −5.64866 + 2.45240i −0.262800 + 0.114096i
\(463\) 16.9260 19.5337i 0.786619 0.907807i −0.210949 0.977497i \(-0.567655\pi\)
0.997569 + 0.0696898i \(0.0222009\pi\)
\(464\) −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 \(-0.0226797\pi\)
−0.707001 + 0.707212i \(0.749952\pi\)
\(468\) 5.95481 5.15988i 0.275261 0.238515i
\(469\) 26.9835 29.9827i 1.24598 1.38447i
\(470\) 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
\(476\) −0.709885 0.340464i −0.0325375 0.0156051i
\(477\) 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 \(-0.271099\pi\)
−0.410757 + 0.911745i \(0.634736\pi\)
\(480\) 4.96825 + 4.30501i 0.226768 + 0.196496i
\(481\) −10.4132 3.05759i −0.474801 0.139414i
\(482\) 7.69298 0.350406
\(483\) 12.0225 26.6112i 0.547044 1.21085i
\(484\) 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 −0.996552 0.0829696i \(-0.973560\pi\)
−0.489454 0.872029i \(-0.662804\pi\)
\(488\) −1.42973 + 9.94401i −0.0647210 + 0.450144i
\(489\) 8.69890 + 13.5357i 0.393378 + 0.612108i
\(490\) 19.3840 4.90829i 0.875682 0.221734i
\(491\) 13.6243 + 15.7233i 0.614857 + 0.709583i 0.974722 0.223421i \(-0.0717226\pi\)
−0.359865 + 0.933005i \(0.617177\pi\)
\(492\) 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
\(497\) −4.05744 3.65157i −0.182001 0.163795i
\(498\) 12.9888 11.2548i 0.582041 0.504342i
\(499\) −6.55634 14.3564i −0.293502 0.642679i 0.704232 0.709970i \(-0.251292\pi\)
−0.997733 + 0.0672909i \(0.978564\pi\)
\(500\) −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 \(-0.717816\pi\)
0.856943 + 0.515412i \(0.172361\pi\)
\(504\) 5.57276 2.41944i 0.248230 0.107770i
\(505\) 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 \(-0.242904\pi\)
−0.581283 + 0.813701i \(0.697449\pi\)
\(510\) −1.05762 + 1.64569i −0.0468321 + 0.0728722i
\(511\) −6.73666 + 4.15255i −0.298012 + 0.183698i
\(512\) 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
\(518\) −6.95329 4.65560i −0.305510 0.204555i
\(519\) −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 \(-0.0884070\pi\)
−0.408252 + 0.912869i \(0.633862\pi\)
\(522\) 5.01968 + 10.9916i 0.219705 + 0.481087i
\(523\) 7.47299 4.80260i 0.326771 0.210003i −0.366961 0.930236i \(-0.619602\pi\)
0.693732 + 0.720234i \(0.255965\pi\)
\(524\) −6.00769 0.863776i −0.262447 0.0377342i
\(525\) −2.37962 19.0920i −0.103855 0.833243i
\(526\) −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
\(532\) −0.126631 + 6.73507i −0.00549016 + 0.292002i
\(533\) −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
\(539\) 4.04869 5.80765i 0.174389 0.250153i
\(540\) 1.30341 + 4.43900i 0.0560898 + 0.191024i
\(541\) −6.84440 + 2.00970i −0.294264 + 0.0864036i −0.425532 0.904943i \(-0.639913\pi\)
0.131269 + 0.991347i \(0.458095\pi\)
\(542\) 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
\(546\) −6.26210 + 19.9327i −0.267993 + 0.853039i
\(547\) 1.65674 11.5229i 0.0708371 0.492683i −0.923259 0.384178i \(-0.874485\pi\)
0.994096 0.108504i \(-0.0346062\pi\)
\(548\) 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 0.646843 0.762623i \(-0.276089\pi\)
0.405786 + 0.913968i \(0.366998\pi\)
\(558\) −7.46071 11.6091i −0.315837 0.491452i
\(559\) −16.4817 36.0899i −0.697102 1.52644i
\(560\) −7.45924 1.21601i −0.315210 0.0513858i
\(561\) 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 \(-0.915881\pi\)
−0.670831 + 0.741610i \(0.734062\pi\)
\(564\) −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
\(567\) 27.7213 + 4.51915i 1.16419 + 0.189786i
\(568\) 0.857072 + 1.87673i 0.0359620 + 0.0787457i
\(569\) 16.1917 + 25.1948i 0.678792 + 1.05622i 0.994229 + 0.107275i \(0.0342125\pi\)
−0.315437 + 0.948946i \(0.602151\pi\)
\(570\) 16.5673 + 2.38202i 0.693928 + 0.0997718i
\(571\) −5.19017 + 8.07606i −0.217202 + 0.337973i −0.932707 0.360635i \(-0.882560\pi\)
0.715505 + 0.698607i \(0.246197\pi\)
\(572\) −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 0.834641 + 0.550794i \(0.185675\pi\)
−0.999927 + 0.0121160i \(0.996143\pi\)
\(578\) 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
\(581\) −5.92203 + 18.8502i −0.245687 + 0.782039i
\(582\) −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 −0.912298 0.409527i \(-0.865694\pi\)
0.546067 0.837741i \(-0.316124\pi\)
\(588\) −9.21273 + 13.2152i −0.379927 + 0.544986i
\(589\) 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 \(-0.437964\pi\)
−0.0905840 + 0.995889i \(0.528873\pi\)
\(594\) 1.37797 + 0.885568i 0.0565388 + 0.0363353i
\(595\) 0.0422772 2.24858i 0.00173320 0.0921828i
\(596\) 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 \(-0.404380\pi\)
−0.903385 + 0.428831i \(0.858925\pi\)
\(602\) −3.78361 30.3564i −0.154208 1.23724i
\(603\) 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 \(-0.784004\pi\)
−0.570097 + 0.821577i \(0.693095\pi\)
\(608\) 1.05767 2.31598i 0.0428944 0.0939255i
\(609\) −26.6243 17.8264i −1.07887 0.722361i
\(610\) −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 −0.369834 0.929098i \(-0.620585\pi\)
0.867008 + 0.498294i \(0.166040\pi\)
\(614\) 10.6269 4.85316i 0.428868 0.195858i
\(615\) −9.30360 + 5.97906i −0.375157 + 0.241099i
\(616\) −2.27785 + 1.40409i −0.0917773 + 0.0565725i
\(617\) 10.2216 15.9052i 0.411508 0.640319i −0.572196 0.820117i \(-0.693908\pi\)
0.983703 + 0.179799i \(0.0575446\pi\)
\(618\) 2.46345 + 2.13459i 0.0990943 + 0.0858657i
\(619\) 38.7462 + 11.3769i 1.55734 + 0.457276i 0.943284 0.331987i \(-0.107719\pi\)
0.614056 + 0.789263i \(0.289537\pi\)
\(620\) 17.1669i 0.689441i
\(621\) −7.66090 + 1.28085i −0.307421 + 0.0513988i
\(622\) 16.8647i 0.676213i
\(623\) −0.528601 + 0.229495i −0.0211780 + 0.00919452i
\(624\) 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
\(630\) 12.8996 + 11.6092i 0.513933 + 0.462523i
\(631\) 26.4215 + 12.0663i 1.05182 + 0.480351i 0.864858 0.502016i \(-0.167408\pi\)
0.186964 + 0.982367i \(0.440135\pi\)
\(632\) 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
\(637\) −5.89604 23.2849i −0.233610 0.922582i
\(638\) −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 0.962560 0.271069i \(-0.0873771\pi\)
−0.131323 + 0.991340i \(0.541923\pi\)
\(642\) 6.69726 + 1.96649i 0.264320 + 0.0776112i
\(643\) −3.81736 −0.150542 −0.0752710 0.997163i \(-0.523982\pi\)
−0.0752710 + 0.997163i \(0.523982\pi\)
\(644\) 3.52531 12.1890i 0.138916 0.480315i
\(645\) −76.0106 −2.99291
\(646\) 0.726954 + 0.213453i 0.0286016 + 0.00839819i
\(647\) 36.3263 + 31.4769i 1.42813 + 1.23749i 0.928544 + 0.371223i \(0.121062\pi\)
0.499590 + 0.866262i \(0.333484\pi\)
\(648\) −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
\(651\) 32.9935 + 15.8239i 1.29312 + 0.620186i
\(652\) 4.57847 + 5.28383i 0.179307 + 0.206931i
\(653\) −4.86423 33.8315i −0.190352 1.32393i −0.831077 0.556157i \(-0.812275\pi\)
0.640725 0.767770i \(-0.278634\pi\)
\(654\) 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
\(658\) 13.4005 14.8899i 0.522405 0.580470i
\(659\) 3.56702 3.09084i 0.138951 0.120402i −0.582612 0.812750i \(-0.697969\pi\)
0.721563 + 0.692348i \(0.243424\pi\)
\(660\) 2.76196 + 6.04785i 0.107509 + 0.235412i
\(661\) −1.71395 + 1.10149i −0.0666651 + 0.0428431i −0.573549 0.819171i \(-0.694434\pi\)
0.506884 + 0.862014i \(0.330797\pi\)
\(662\) 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
\(665\) −17.6507 + 7.66314i −0.684465 + 0.297164i
\(666\) 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
\(672\) 5.18322 3.19499i 0.199947 0.123250i
\(673\) 11.3437 7.29014i 0.437267 0.281014i −0.303430 0.952854i \(-0.598132\pi\)
0.740697 + 0.671840i \(0.234496\pi\)
\(674\) −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 −0.623081 0.782157i \(-0.714119\pi\)
0.999146 0.0413110i \(-0.0131534\pi\)
\(678\) −16.0363 + 4.70869i −0.615872 + 0.180836i
\(679\) 25.8034 38.5383i 0.990245 1.47896i
\(680\) −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 0.719779 + 0.694203i \(0.244243\pi\)
0.0532891 + 0.998579i \(0.483030\pi\)
\(684\) −4.91831 + 3.16081i −0.188056 + 0.120856i
\(685\) 57.3648 + 8.24782i 2.19180 + 0.315133i
\(686\) 1.04396 18.4908i 0.0398587 0.705982i
\(687\) 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
\(693\) 6.14330 + 0.115505i 0.233365 + 0.00438766i
\(694\) −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
\(700\) −2.20412 8.06437i −0.0833079 0.304805i
\(701\) −4.16144 14.1726i −0.157175 0.535290i 0.842820 0.538195i \(-0.180894\pi\)
−0.999996 + 0.00290491i \(0.999075\pi\)
\(702\) 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
\(707\) 18.5127 + 5.81598i 0.696240 + 0.218733i
\(708\) 2.38339 16.5768i 0.0895732 0.622995i
\(709\) 4.23987 6.59737i 0.159232 0.247769i −0.752466 0.658631i \(-0.771136\pi\)
0.911698 + 0.410862i \(0.134772\pi\)
\(710\) −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 \(-0.221074\pi\)
−0.901371 + 0.433048i \(0.857438\pi\)
\(720\) −2.72485 5.96658i −0.101549 0.222361i
\(721\) −3.69858 0.602945i −0.137742 0.0224548i
\(722\) 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 \(-0.0587108\pi\)
−0.994888 + 0.100981i \(0.967802\pi\)
\(728\) −1.46072 + 8.96035i −0.0541380 + 0.332092i
\(729\) 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 \(-0.847712\pi\)
0.582032 + 0.813166i \(0.302258\pi\)
\(734\) 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 −0.942247 0.334918i \(-0.891292\pi\)
0.465604 + 0.884993i \(0.345837\pi\)
\(740\) −4.88451 + 7.60044i −0.179558 + 0.279398i
\(741\) 2.86138 19.9013i 0.105115 0.731094i
\(742\) −22.1693 6.96478i −0.813862 0.255685i
\(743\) 33.1441 15.1364i 1.21594 0.555300i 0.298970 0.954262i \(-0.403357\pi\)
0.916967 + 0.398962i \(0.130630\pi\)
\(744\) −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
\(749\) −7.74062 + 2.11564i −0.282836 + 0.0773036i
\(750\) 11.9739 1.72159i 0.437226 0.0628637i
\(751\) −10.3281 + 8.94935i −0.376878 + 0.326566i −0.822616 0.568597i \(-0.807486\pi\)
0.445739 + 0.895163i \(0.352941\pi\)
\(752\) −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
\(756\) 4.28425 + 0.0805515i 0.155817 + 0.00292963i
\(757\) −5.20409 + 17.7235i −0.189146 + 0.644172i 0.809245 + 0.587471i \(0.199876\pi\)
−0.998391 + 0.0567008i \(0.981942\pi\)
\(758\) 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 −0.577201 0.816602i \(-0.695855\pi\)
0.927061 0.374911i \(-0.122327\pi\)
\(762\) 23.5547 + 20.4103i 0.853298 + 0.739386i
\(763\) 4.33507 + 34.7808i 0.156940 + 1.25915i
\(764\) −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 \(-0.732796\pi\)
0.999849 + 0.0173501i \(0.00552298\pi\)
\(770\) −6.35142 4.25261i −0.228889 0.153253i
\(771\) 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 −0.537685 0.843146i \(-0.680701\pi\)
0.278363 0.960476i \(-0.410208\pi\)