Properties

Label 546.2.bv.a.515.27
Level $546$
Weight $2$
Character 546.515
Analytic conductor $4.360$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bv (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(36\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 515.27
Character \(\chi\) \(=\) 546.515
Dual form 546.2.bv.a.317.27

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 + 0.258819i) q^{2} +(-0.172608 + 1.72343i) q^{3} +(0.866025 + 0.500000i) q^{4} +(1.26981 + 0.340244i) q^{5} +(-0.612783 + 1.62003i) q^{6} +(-1.12113 + 2.39647i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-2.94041 - 0.594956i) q^{9} +O(q^{10})\) \(q+(0.965926 + 0.258819i) q^{2} +(-0.172608 + 1.72343i) q^{3} +(0.866025 + 0.500000i) q^{4} +(1.26981 + 0.340244i) q^{5} +(-0.612783 + 1.62003i) q^{6} +(-1.12113 + 2.39647i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-2.94041 - 0.594956i) q^{9} +(1.13848 + 0.657301i) q^{10} +(-0.888483 + 0.238068i) q^{11} +(-1.01120 + 1.40623i) q^{12} +(-1.58383 + 3.23906i) q^{13} +(-1.70318 + 2.02464i) q^{14} +(-0.805566 + 2.12970i) q^{15} +(0.500000 + 0.866025i) q^{16} +(2.11756 - 3.66773i) q^{17} +(-2.68623 - 1.33572i) q^{18} +(0.896725 - 3.34662i) q^{19} +(0.929564 + 0.929564i) q^{20} +(-3.93663 - 2.34583i) q^{21} -0.919825 q^{22} +(3.61338 + 6.25856i) q^{23} +(-1.34070 + 1.09660i) q^{24} +(-2.83348 - 1.63591i) q^{25} +(-2.36819 + 2.71876i) q^{26} +(1.53290 - 4.96490i) q^{27} +(-2.16916 + 1.51484i) q^{28} +4.82542i q^{29} +(-1.32932 + 1.84863i) q^{30} +(10.3339 - 2.76895i) q^{31} +(0.258819 + 0.965926i) q^{32} +(-0.256934 - 1.57233i) q^{33} +(2.99469 - 2.99469i) q^{34} +(-2.23900 + 2.66160i) q^{35} +(-2.24899 - 1.98545i) q^{36} +(-5.11817 - 1.37141i) q^{37} +(1.73234 - 3.00050i) q^{38} +(-5.30890 - 3.28871i) q^{39} +(0.657301 + 1.13848i) q^{40} +(0.501685 - 0.501685i) q^{41} +(-3.19535 - 3.28478i) q^{42} -2.84894i q^{43} +(-0.888483 - 0.238068i) q^{44} +(-3.53133 - 1.75594i) q^{45} +(1.87042 + 6.98052i) q^{46} +(-2.66163 + 9.93335i) q^{47} +(-1.57884 + 0.712231i) q^{48} +(-4.48615 - 5.37350i) q^{49} +(-2.31353 - 2.31353i) q^{50} +(5.95556 + 4.28255i) q^{51} +(-2.99117 + 2.01319i) q^{52} +(6.15237 + 3.55207i) q^{53} +(2.76568 - 4.39898i) q^{54} -1.20920 q^{55} +(-2.48732 + 0.901805i) q^{56} +(5.61288 + 2.12310i) q^{57} +(-1.24891 + 4.66100i) q^{58} +(10.5098 - 2.81610i) q^{59} +(-1.76249 + 1.44159i) q^{60} +(-3.88394 - 6.72719i) q^{61} +10.6984 q^{62} +(4.72237 - 6.37959i) q^{63} +1.00000i q^{64} +(-3.11323 + 3.57409i) q^{65} +(0.158769 - 1.58525i) q^{66} +(5.69940 - 1.52715i) q^{67} +(3.66773 - 2.11756i) q^{68} +(-11.4099 + 5.14713i) q^{69} +(-2.85158 + 1.99141i) q^{70} +(0.0481102 - 0.0481102i) q^{71} +(-1.65849 - 2.49988i) q^{72} +(-0.197835 - 0.738329i) q^{73} +(-4.58882 - 2.64936i) q^{74} +(3.30846 - 4.60093i) q^{75} +(2.44990 - 2.44990i) q^{76} +(0.425578 - 2.39613i) q^{77} +(-4.27682 - 4.55069i) q^{78} +(2.43891 + 4.22432i) q^{79} +(0.340244 + 1.26981i) q^{80} +(8.29205 + 3.49883i) q^{81} +(0.614436 - 0.354745i) q^{82} +(-5.78179 + 5.78179i) q^{83} +(-2.23631 - 3.99987i) q^{84} +(3.93682 - 3.93682i) q^{85} +(0.737361 - 2.75187i) q^{86} +(-8.31627 - 0.832908i) q^{87} +(-0.796592 - 0.459913i) q^{88} +(3.09511 - 11.5511i) q^{89} +(-2.95653 - 2.61008i) q^{90} +(-5.98663 - 7.42700i) q^{91} +7.22677i q^{92} +(2.98837 + 18.2876i) q^{93} +(-5.14188 + 8.90600i) q^{94} +(2.27734 - 3.94446i) q^{95} +(-1.70938 + 0.279329i) q^{96} +(-2.51747 - 2.51747i) q^{97} +(-2.94253 - 6.35150i) q^{98} +(2.75415 - 0.171411i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q - 16 q^{7} + O(q^{10}) \) \( 144 q - 16 q^{7} + 72 q^{16} + 16 q^{18} + 8 q^{19} + 8 q^{21} + 24 q^{27} - 8 q^{28} - 8 q^{31} + 12 q^{33} - 8 q^{37} + 16 q^{39} - 40 q^{45} + 8 q^{46} + 8 q^{52} - 12 q^{54} - 32 q^{55} + 16 q^{57} + 8 q^{58} - 32 q^{61} - 40 q^{63} - 32 q^{66} - 8 q^{67} + 16 q^{72} + 80 q^{73} - 16 q^{76} + 16 q^{78} - 112 q^{79} - 48 q^{81} + 16 q^{84} - 80 q^{85} + 96 q^{87} - 32 q^{91} + 36 q^{93} - 64 q^{94} - 144 q^{97} - 32 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(-1\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965926 + 0.258819i 0.683013 + 0.183013i
\(3\) −0.172608 + 1.72343i −0.0996554 + 0.995022i
\(4\) 0.866025 + 0.500000i 0.433013 + 0.250000i
\(5\) 1.26981 + 0.340244i 0.567876 + 0.152162i 0.531322 0.847170i \(-0.321695\pi\)
0.0365534 + 0.999332i \(0.488362\pi\)
\(6\) −0.612783 + 1.62003i −0.250168 + 0.661374i
\(7\) −1.12113 + 2.39647i −0.423746 + 0.905781i
\(8\) 0.707107 + 0.707107i 0.250000 + 0.250000i
\(9\) −2.94041 0.594956i −0.980138 0.198319i
\(10\) 1.13848 + 0.657301i 0.360019 + 0.207857i
\(11\) −0.888483 + 0.238068i −0.267888 + 0.0717803i −0.390262 0.920704i \(-0.627616\pi\)
0.122375 + 0.992484i \(0.460949\pi\)
\(12\) −1.01120 + 1.40623i −0.291908 + 0.405943i
\(13\) −1.58383 + 3.23906i −0.439276 + 0.898352i
\(14\) −1.70318 + 2.02464i −0.455193 + 0.541109i
\(15\) −0.805566 + 2.12970i −0.207996 + 0.549885i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) 2.11756 3.66773i 0.513585 0.889555i −0.486291 0.873797i \(-0.661651\pi\)
0.999876 0.0157580i \(-0.00501613\pi\)
\(18\) −2.68623 1.33572i −0.633152 0.314832i
\(19\) 0.896725 3.34662i 0.205723 0.767768i −0.783505 0.621385i \(-0.786570\pi\)
0.989228 0.146383i \(-0.0467631\pi\)
\(20\) 0.929564 + 0.929564i 0.207857 + 0.207857i
\(21\) −3.93663 2.34583i −0.859044 0.511903i
\(22\) −0.919825 −0.196107
\(23\) 3.61338 + 6.25856i 0.753443 + 1.30500i 0.946145 + 0.323743i \(0.104941\pi\)
−0.192702 + 0.981257i \(0.561725\pi\)
\(24\) −1.34070 + 1.09660i −0.273669 + 0.223842i
\(25\) −2.83348 1.63591i −0.566696 0.327182i
\(26\) −2.36819 + 2.71876i −0.464441 + 0.533193i
\(27\) 1.53290 4.96490i 0.295007 0.955495i
\(28\) −2.16916 + 1.51484i −0.409933 + 0.286278i
\(29\) 4.82542i 0.896059i 0.894019 + 0.448029i \(0.147874\pi\)
−0.894019 + 0.448029i \(0.852126\pi\)
\(30\) −1.32932 + 1.84863i −0.242700 + 0.337512i
\(31\) 10.3339 2.76895i 1.85601 0.497318i 0.856201 0.516643i \(-0.172818\pi\)
0.999813 + 0.0193253i \(0.00615181\pi\)
\(32\) 0.258819 + 0.965926i 0.0457532 + 0.170753i
\(33\) −0.256934 1.57233i −0.0447265 0.273707i
\(34\) 2.99469 2.99469i 0.513585 0.513585i
\(35\) −2.23900 + 2.66160i −0.378460 + 0.449893i
\(36\) −2.24899 1.98545i −0.374832 0.330909i
\(37\) −5.11817 1.37141i −0.841422 0.225458i −0.187731 0.982220i \(-0.560113\pi\)
−0.653690 + 0.756762i \(0.726780\pi\)
\(38\) 1.73234 3.00050i 0.281022 0.486745i
\(39\) −5.30890 3.28871i −0.850104 0.526615i
\(40\) 0.657301 + 1.13848i 0.103928 + 0.180009i
\(41\) 0.501685 0.501685i 0.0783501 0.0783501i −0.666846 0.745196i \(-0.732356\pi\)
0.745196 + 0.666846i \(0.232356\pi\)
\(42\) −3.19535 3.28478i −0.493053 0.506852i
\(43\) 2.84894i 0.434460i −0.976120 0.217230i \(-0.930298\pi\)
0.976120 0.217230i \(-0.0697021\pi\)
\(44\) −0.888483 0.238068i −0.133944 0.0358901i
\(45\) −3.53133 1.75594i −0.526420 0.261760i
\(46\) 1.87042 + 6.98052i 0.275779 + 1.02922i
\(47\) −2.66163 + 9.93335i −0.388239 + 1.44893i 0.444758 + 0.895651i \(0.353290\pi\)
−0.832997 + 0.553277i \(0.813377\pi\)
\(48\) −1.57884 + 0.712231i −0.227886 + 0.102802i
\(49\) −4.48615 5.37350i −0.640879 0.767642i
\(50\) −2.31353 2.31353i −0.327182 0.327182i
\(51\) 5.95556 + 4.28255i 0.833945 + 0.599677i
\(52\) −2.99117 + 2.01319i −0.414800 + 0.279179i
\(53\) 6.15237 + 3.55207i 0.845093 + 0.487915i 0.858992 0.511989i \(-0.171091\pi\)
−0.0138993 + 0.999903i \(0.504424\pi\)
\(54\) 2.76568 4.39898i 0.376362 0.598625i
\(55\) −1.20920 −0.163049
\(56\) −2.48732 + 0.901805i −0.332382 + 0.120509i
\(57\) 5.61288 + 2.12310i 0.743444 + 0.281211i
\(58\) −1.24891 + 4.66100i −0.163990 + 0.612019i
\(59\) 10.5098 2.81610i 1.36826 0.366625i 0.501418 0.865205i \(-0.332812\pi\)
0.866844 + 0.498580i \(0.166145\pi\)
\(60\) −1.76249 + 1.44159i −0.227536 + 0.186108i
\(61\) −3.88394 6.72719i −0.497288 0.861328i 0.502707 0.864457i \(-0.332337\pi\)
−0.999995 + 0.00312876i \(0.999004\pi\)
\(62\) 10.6984 1.35870
\(63\) 4.72237 6.37959i 0.594963 0.803753i
\(64\) 1.00000i 0.125000i
\(65\) −3.11323 + 3.57409i −0.386149 + 0.443311i
\(66\) 0.158769 1.58525i 0.0195432 0.195131i
\(67\) 5.69940 1.52715i 0.696292 0.186571i 0.106723 0.994289i \(-0.465964\pi\)
0.589569 + 0.807718i \(0.299298\pi\)
\(68\) 3.66773 2.11756i 0.444777 0.256792i
\(69\) −11.4099 + 5.14713i −1.37359 + 0.619642i
\(70\) −2.85158 + 1.99141i −0.340829 + 0.238020i
\(71\) 0.0481102 0.0481102i 0.00570963 0.00570963i −0.704246 0.709956i \(-0.748715\pi\)
0.709956 + 0.704246i \(0.248715\pi\)
\(72\) −1.65849 2.49988i −0.195455 0.294614i
\(73\) −0.197835 0.738329i −0.0231548 0.0864149i 0.953382 0.301767i \(-0.0975766\pi\)
−0.976536 + 0.215353i \(0.930910\pi\)
\(74\) −4.58882 2.64936i −0.533440 0.307982i
\(75\) 3.30846 4.60093i 0.382028 0.531270i
\(76\) 2.44990 2.44990i 0.281022 0.281022i
\(77\) 0.425578 2.39613i 0.0484991 0.273064i
\(78\) −4.27682 4.55069i −0.484255 0.515264i
\(79\) 2.43891 + 4.22432i 0.274399 + 0.475273i 0.969983 0.243172i \(-0.0781878\pi\)
−0.695584 + 0.718444i \(0.744854\pi\)
\(80\) 0.340244 + 1.26981i 0.0380404 + 0.141969i
\(81\) 8.29205 + 3.49883i 0.921339 + 0.388759i
\(82\) 0.614436 0.354745i 0.0678532 0.0391750i
\(83\) −5.78179 + 5.78179i −0.634634 + 0.634634i −0.949227 0.314593i \(-0.898132\pi\)
0.314593 + 0.949227i \(0.398132\pi\)
\(84\) −2.23631 3.99987i −0.244001 0.436421i
\(85\) 3.93682 3.93682i 0.427008 0.427008i
\(86\) 0.737361 2.75187i 0.0795116 0.296742i
\(87\) −8.31627 0.832908i −0.891598 0.0892971i
\(88\) −0.796592 0.459913i −0.0849170 0.0490268i
\(89\) 3.09511 11.5511i 0.328081 1.22441i −0.583097 0.812402i \(-0.698159\pi\)
0.911178 0.412012i \(-0.135174\pi\)
\(90\) −2.95653 2.61008i −0.311646 0.275127i
\(91\) −5.98663 7.42700i −0.627569 0.778561i
\(92\) 7.22677i 0.753443i
\(93\) 2.98837 + 18.2876i 0.309880 + 1.89634i
\(94\) −5.14188 + 8.90600i −0.530344 + 0.918584i
\(95\) 2.27734 3.94446i 0.233650 0.404693i
\(96\) −1.70938 + 0.279329i −0.174463 + 0.0285089i
\(97\) −2.51747 2.51747i −0.255611 0.255611i 0.567656 0.823266i \(-0.307851\pi\)
−0.823266 + 0.567656i \(0.807851\pi\)
\(98\) −2.94253 6.35150i −0.297240 0.641598i
\(99\) 2.75415 0.171411i 0.276802 0.0172274i
\(100\) −1.63591 2.83348i −0.163591 0.283348i
\(101\) 8.86030 15.3465i 0.881633 1.52703i 0.0321088 0.999484i \(-0.489778\pi\)
0.849524 0.527549i \(-0.176889\pi\)
\(102\) 4.64422 + 5.67804i 0.459847 + 0.562210i
\(103\) 9.68096 5.58930i 0.953893 0.550730i 0.0596050 0.998222i \(-0.481016\pi\)
0.894288 + 0.447492i \(0.147683\pi\)
\(104\) −3.41030 + 1.17042i −0.334407 + 0.114769i
\(105\) −4.20061 4.31817i −0.409938 0.421411i
\(106\) 5.02339 + 5.02339i 0.487915 + 0.487915i
\(107\) 11.2953 6.52133i 1.09196 0.630441i 0.157860 0.987462i \(-0.449541\pi\)
0.934097 + 0.357020i \(0.116207\pi\)
\(108\) 3.80998 3.53328i 0.366616 0.339990i
\(109\) 11.9362 3.19830i 1.14328 0.306342i 0.363013 0.931784i \(-0.381748\pi\)
0.780271 + 0.625442i \(0.215081\pi\)
\(110\) −1.16800 0.312965i −0.111365 0.0298400i
\(111\) 3.24696 8.58408i 0.308188 0.814765i
\(112\) −2.63597 + 0.227312i −0.249076 + 0.0214789i
\(113\) 3.44414i 0.323998i 0.986791 + 0.161999i \(0.0517941\pi\)
−0.986791 + 0.161999i \(0.948206\pi\)
\(114\) 4.87213 + 3.50347i 0.456317 + 0.328130i
\(115\) 2.45886 + 9.17661i 0.229290 + 0.855723i
\(116\) −2.41271 + 4.17894i −0.224015 + 0.388005i
\(117\) 6.58421 8.58185i 0.608711 0.793392i
\(118\) 10.8806 1.00164
\(119\) 6.41555 + 9.18667i 0.588112 + 0.842141i
\(120\) −2.07554 + 0.936301i −0.189470 + 0.0854722i
\(121\) −8.79355 + 5.07696i −0.799414 + 0.461542i
\(122\) −2.01048 7.50320i −0.182020 0.679308i
\(123\) 0.778024 + 0.951214i 0.0701520 + 0.0857681i
\(124\) 10.3339 + 2.76895i 0.928007 + 0.248659i
\(125\) −7.68919 7.68919i −0.687742 0.687742i
\(126\) 6.21262 4.93998i 0.553464 0.440088i
\(127\) 13.1479i 1.16669i 0.812225 + 0.583344i \(0.198256\pi\)
−0.812225 + 0.583344i \(0.801744\pi\)
\(128\) −0.258819 + 0.965926i −0.0228766 + 0.0853766i
\(129\) 4.90995 + 0.491751i 0.432297 + 0.0432963i
\(130\) −3.93219 + 2.64654i −0.344876 + 0.232117i
\(131\) 9.48624 5.47688i 0.828817 0.478517i −0.0246307 0.999697i \(-0.507841\pi\)
0.853447 + 0.521179i \(0.174508\pi\)
\(132\) 0.563653 1.49014i 0.0490597 0.129700i
\(133\) 7.01474 + 5.90096i 0.608255 + 0.511678i
\(134\) 5.90045 0.509721
\(135\) 3.63577 5.78291i 0.312917 0.497713i
\(136\) 4.09082 1.09613i 0.350785 0.0939925i
\(137\) −10.4669 + 2.80461i −0.894251 + 0.239614i −0.676546 0.736401i \(-0.736524\pi\)
−0.217705 + 0.976015i \(0.569857\pi\)
\(138\) −12.3533 + 2.01865i −1.05158 + 0.171839i
\(139\) −12.7355 −1.08021 −0.540105 0.841598i \(-0.681615\pi\)
−0.540105 + 0.841598i \(0.681615\pi\)
\(140\) −3.26983 + 1.18552i −0.276351 + 0.100194i
\(141\) −16.6600 6.30171i −1.40303 0.530700i
\(142\) 0.0589227 0.0340191i 0.00494469 0.00285482i
\(143\) 0.636091 3.25490i 0.0531926 0.272189i
\(144\) −0.954959 2.84395i −0.0795800 0.236996i
\(145\) −1.64182 + 6.12736i −0.136346 + 0.508850i
\(146\) 0.764375i 0.0632601i
\(147\) 10.0352 6.80405i 0.827688 0.561189i
\(148\) −3.74676 3.74676i −0.307982 0.307982i
\(149\) −12.5818 3.37129i −1.03074 0.276187i −0.296471 0.955042i \(-0.595810\pi\)
−0.734272 + 0.678855i \(0.762476\pi\)
\(150\) 4.38653 3.58786i 0.358159 0.292948i
\(151\) −3.06874 11.4527i −0.249731 0.932007i −0.970946 0.239297i \(-0.923083\pi\)
0.721216 0.692710i \(-0.243584\pi\)
\(152\) 3.00050 1.73234i 0.243373 0.140511i
\(153\) −8.40865 + 9.52478i −0.679799 + 0.770033i
\(154\) 1.03124 2.20433i 0.0830997 0.177630i
\(155\) 14.0641 1.12966
\(156\) −2.95329 5.50255i −0.236452 0.440557i
\(157\) −1.07814 + 1.86740i −0.0860451 + 0.149034i −0.905836 0.423628i \(-0.860756\pi\)
0.819791 + 0.572663i \(0.194090\pi\)
\(158\) 1.26247 + 4.71161i 0.100437 + 0.374836i
\(159\) −7.18369 + 9.99005i −0.569704 + 0.792263i
\(160\) 1.31460i 0.103928i
\(161\) −19.0495 + 1.64273i −1.50131 + 0.129465i
\(162\) 7.10395 + 5.52575i 0.558139 + 0.434144i
\(163\) −10.4328 2.79546i −0.817160 0.218957i −0.174056 0.984736i \(-0.555687\pi\)
−0.643104 + 0.765778i \(0.722354\pi\)
\(164\) 0.685315 0.183630i 0.0535141 0.0143391i
\(165\) 0.208719 2.08398i 0.0162487 0.162237i
\(166\) −7.08122 + 4.08834i −0.549609 + 0.317317i
\(167\) −4.58714 4.58714i −0.354963 0.354963i 0.506989 0.861952i \(-0.330758\pi\)
−0.861952 + 0.506989i \(0.830758\pi\)
\(168\) −1.12487 4.44237i −0.0867852 0.342737i
\(169\) −7.98296 10.2602i −0.614074 0.789249i
\(170\) 4.82160 2.78375i 0.369800 0.213504i
\(171\) −4.62783 + 9.30694i −0.353899 + 0.711719i
\(172\) 1.42447 2.46726i 0.108615 0.188127i
\(173\) 8.44709 + 14.6308i 0.642220 + 1.11236i 0.984936 + 0.172919i \(0.0553198\pi\)
−0.342716 + 0.939439i \(0.611347\pi\)
\(174\) −7.81733 2.95694i −0.592630 0.224165i
\(175\) 7.09710 4.95629i 0.536491 0.374660i
\(176\) −0.650415 0.650415i −0.0490268 0.0490268i
\(177\) 3.03926 + 18.5990i 0.228445 + 1.39799i
\(178\) 5.97929 10.3564i 0.448167 0.776248i
\(179\) −8.18902 + 14.1838i −0.612076 + 1.06015i 0.378814 + 0.925473i \(0.376332\pi\)
−0.990890 + 0.134674i \(0.957001\pi\)
\(180\) −2.18025 3.28635i −0.162506 0.244950i
\(181\) 3.65978i 0.272029i 0.990707 + 0.136014i \(0.0434294\pi\)
−0.990707 + 0.136014i \(0.956571\pi\)
\(182\) −3.86039 8.72338i −0.286151 0.646620i
\(183\) 12.2642 5.53253i 0.906598 0.408976i
\(184\) −1.87042 + 6.98052i −0.137890 + 0.514611i
\(185\) −6.03248 3.48285i −0.443517 0.256064i
\(186\) −1.84663 + 18.4379i −0.135401 + 1.35193i
\(187\) −1.00825 + 3.76284i −0.0737305 + 0.275166i
\(188\) −7.27172 + 7.27172i −0.530344 + 0.530344i
\(189\) 10.1797 + 9.23984i 0.740461 + 0.672099i
\(190\) 3.22064 3.22064i 0.233650 0.233650i
\(191\) −12.2195 + 7.05495i −0.884174 + 0.510478i −0.872033 0.489448i \(-0.837198\pi\)
−0.0121419 + 0.999926i \(0.503865\pi\)
\(192\) −1.72343 0.172608i −0.124378 0.0124569i
\(193\) −0.695596 2.59600i −0.0500701 0.186864i 0.936361 0.351037i \(-0.114171\pi\)
−0.986432 + 0.164173i \(0.947504\pi\)
\(194\) −1.78012 3.08326i −0.127805 0.221365i
\(195\) −5.62232 5.98235i −0.402623 0.428405i
\(196\) −1.19837 6.89666i −0.0855981 0.492618i
\(197\) 15.1858 15.1858i 1.08194 1.08194i 0.0856134 0.996328i \(-0.472715\pi\)
0.996328 0.0856134i \(-0.0272850\pi\)
\(198\) 2.70467 + 0.547255i 0.192212 + 0.0388917i
\(199\) −1.96754 1.13596i −0.139475 0.0805261i 0.428639 0.903476i \(-0.358993\pi\)
−0.568114 + 0.822950i \(0.692327\pi\)
\(200\) −0.846810 3.16034i −0.0598785 0.223470i
\(201\) 1.64817 + 10.0861i 0.116253 + 0.711419i
\(202\) 12.5304 12.5304i 0.881633 0.881633i
\(203\) −11.5640 5.40991i −0.811633 0.379701i
\(204\) 3.01639 + 6.68658i 0.211190 + 0.468154i
\(205\) 0.807740 0.466349i 0.0564150 0.0325712i
\(206\) 10.7977 2.89324i 0.752312 0.201581i
\(207\) −6.90127 20.5526i −0.479671 1.42850i
\(208\) −3.59702 + 0.247889i −0.249408 + 0.0171880i
\(209\) 3.18690i 0.220442i
\(210\) −2.93985 5.25823i −0.202869 0.362853i
\(211\) −10.4053 −0.716331 −0.358165 0.933658i \(-0.616598\pi\)
−0.358165 + 0.933658i \(0.616598\pi\)
\(212\) 3.55207 + 6.15237i 0.243957 + 0.422546i
\(213\) 0.0746103 + 0.0912187i 0.00511221 + 0.00625021i
\(214\) 12.5983 3.37569i 0.861199 0.230758i
\(215\) 0.969336 3.61761i 0.0661082 0.246719i
\(216\) 4.59464 2.42679i 0.312626 0.165122i
\(217\) −4.94985 + 27.8691i −0.336018 + 1.89188i
\(218\) 12.3573 0.836942
\(219\) 1.30661 0.213512i 0.0882922 0.0144278i
\(220\) −1.04720 0.604602i −0.0706023 0.0407623i
\(221\) 8.52611 + 12.6680i 0.573528 + 0.852140i
\(222\) 5.35805 7.45121i 0.359609 0.500092i
\(223\) −12.3431 12.3431i −0.826555 0.826555i 0.160484 0.987038i \(-0.448695\pi\)
−0.987038 + 0.160484i \(0.948695\pi\)
\(224\) −2.60498 0.462673i −0.174053 0.0309136i
\(225\) 7.35831 + 6.49605i 0.490554 + 0.433070i
\(226\) −0.891409 + 3.32679i −0.0592957 + 0.221294i
\(227\) −3.15723 11.7829i −0.209553 0.782061i −0.988013 0.154368i \(-0.950666\pi\)
0.778461 0.627693i \(-0.216001\pi\)
\(228\) 3.79935 + 4.64510i 0.251618 + 0.307629i
\(229\) −24.6459 6.60384i −1.62864 0.436394i −0.675120 0.737708i \(-0.735908\pi\)
−0.953525 + 0.301314i \(0.902575\pi\)
\(230\) 9.50032i 0.626433i
\(231\) 4.05610 + 1.14704i 0.266872 + 0.0754700i
\(232\) −3.41209 + 3.41209i −0.224015 + 0.224015i
\(233\) −1.81232 3.13902i −0.118729 0.205644i 0.800535 0.599286i \(-0.204549\pi\)
−0.919264 + 0.393641i \(0.871215\pi\)
\(234\) 8.58101 6.58531i 0.560958 0.430495i
\(235\) −6.75953 + 11.7078i −0.440943 + 0.763736i
\(236\) 10.5098 + 2.81610i 0.684131 + 0.183312i
\(237\) −7.70129 + 3.47414i −0.500252 + 0.225669i
\(238\) 3.81926 + 10.5341i 0.247566 + 0.682825i
\(239\) −13.4206 + 13.4206i −0.868109 + 0.868109i −0.992263 0.124154i \(-0.960378\pi\)
0.124154 + 0.992263i \(0.460378\pi\)
\(240\) −2.24715 + 0.367207i −0.145053 + 0.0237031i
\(241\) −1.76180 6.57512i −0.113487 0.423541i 0.885682 0.464293i \(-0.153691\pi\)
−0.999169 + 0.0407517i \(0.987025\pi\)
\(242\) −9.80794 + 2.62803i −0.630478 + 0.168936i
\(243\) −7.46126 + 13.6868i −0.478640 + 0.878011i
\(244\) 7.76789i 0.497288i
\(245\) −3.86825 8.34969i −0.247134 0.533442i
\(246\) 0.505321 + 1.12017i 0.0322181 + 0.0714194i
\(247\) 9.41963 + 8.20503i 0.599357 + 0.522073i
\(248\) 9.26508 + 5.34919i 0.588333 + 0.339674i
\(249\) −8.96652 10.9625i −0.568230 0.694720i
\(250\) −5.43708 9.41729i −0.343871 0.595602i
\(251\) 27.9262 1.76269 0.881344 0.472475i \(-0.156639\pi\)
0.881344 + 0.472475i \(0.156639\pi\)
\(252\) 7.27949 3.16371i 0.458565 0.199295i
\(253\) −4.70039 4.70039i −0.295511 0.295511i
\(254\) −3.40293 + 12.6999i −0.213519 + 0.796863i
\(255\) 6.10531 + 7.46436i 0.382329 + 0.467436i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 15.5288 + 26.8967i 0.968659 + 1.67777i 0.699445 + 0.714687i \(0.253431\pi\)
0.269215 + 0.963080i \(0.413236\pi\)
\(258\) 4.61537 + 1.74578i 0.287341 + 0.108688i
\(259\) 9.02466 10.7280i 0.560765 0.666607i
\(260\) −4.48318 + 1.53864i −0.278035 + 0.0954222i
\(261\) 2.87091 14.1887i 0.177705 0.878261i
\(262\) 10.5805 2.83504i 0.653667 0.175150i
\(263\) −2.03208 1.17322i −0.125303 0.0723439i 0.436038 0.899928i \(-0.356381\pi\)
−0.561342 + 0.827584i \(0.689715\pi\)
\(264\) 0.930125 1.29348i 0.0572452 0.0796085i
\(265\) 6.60376 + 6.60376i 0.405666 + 0.405666i
\(266\) 5.24844 + 7.51544i 0.321802 + 0.460801i
\(267\) 19.3733 + 7.32802i 1.18562 + 0.448467i
\(268\) 5.69940 + 1.52715i 0.348146 + 0.0932855i
\(269\) −5.01914 2.89780i −0.306022 0.176682i 0.339123 0.940742i \(-0.389870\pi\)
−0.645145 + 0.764060i \(0.723203\pi\)
\(270\) 5.00861 4.64485i 0.304814 0.282677i
\(271\) 10.6951 + 2.86575i 0.649682 + 0.174082i 0.568585 0.822625i \(-0.307491\pi\)
0.0810968 + 0.996706i \(0.474158\pi\)
\(272\) 4.23513 0.256792
\(273\) 13.8332 9.03557i 0.837226 0.546857i
\(274\) −10.8362 −0.654637
\(275\) 2.90696 + 0.778917i 0.175296 + 0.0469704i
\(276\) −12.4548 1.24740i −0.749692 0.0750846i
\(277\) −24.0437 13.8817i −1.44465 0.834068i −0.446493 0.894787i \(-0.647327\pi\)
−0.998155 + 0.0607190i \(0.980661\pi\)
\(278\) −12.3015 3.29619i −0.737797 0.197692i
\(279\) −32.0332 + 1.99366i −1.91778 + 0.119357i
\(280\) −3.46525 + 0.298825i −0.207088 + 0.0178582i
\(281\) 12.1164 + 12.1164i 0.722802 + 0.722802i 0.969175 0.246373i \(-0.0792388\pi\)
−0.246373 + 0.969175i \(0.579239\pi\)
\(282\) −14.4613 10.3989i −0.861159 0.619246i
\(283\) 0.352051 + 0.203257i 0.0209273 + 0.0120824i 0.510427 0.859921i \(-0.329487\pi\)
−0.489500 + 0.872003i \(0.662821\pi\)
\(284\) 0.0657198 0.0176096i 0.00389975 0.00104494i
\(285\) 6.40491 + 4.60567i 0.379394 + 0.272817i
\(286\) 1.45685 2.97936i 0.0861452 0.176173i
\(287\) 0.639822 + 1.76473i 0.0377675 + 0.104169i
\(288\) −0.186352 2.99421i −0.0109809 0.176435i
\(289\) −0.468155 0.810869i −0.0275386 0.0476982i
\(290\) −3.17176 + 5.49364i −0.186252 + 0.322598i
\(291\) 4.77322 3.90415i 0.279811 0.228865i
\(292\) 0.197835 0.738329i 0.0115774 0.0432074i
\(293\) −13.9031 13.9031i −0.812230 0.812230i 0.172738 0.984968i \(-0.444739\pi\)
−0.984968 + 0.172738i \(0.944739\pi\)
\(294\) 11.4543 3.97491i 0.668026 0.231822i
\(295\) 14.3036 0.832789
\(296\) −2.64936 4.58882i −0.153991 0.266720i
\(297\) −0.179974 + 4.77616i −0.0104431 + 0.277141i
\(298\) −11.2806 6.51283i −0.653465 0.377278i
\(299\) −25.9948 + 1.79144i −1.50332 + 0.103602i
\(300\) 5.16567 2.33029i 0.298240 0.134540i
\(301\) 6.82741 + 3.19403i 0.393525 + 0.184101i
\(302\) 11.8567i 0.682277i
\(303\) 24.9192 + 17.9190i 1.43157 + 1.02942i
\(304\) 3.34662 0.896725i 0.191942 0.0514307i
\(305\) −2.64298 9.86373i −0.151336 0.564795i
\(306\) −10.5873 + 7.02391i −0.605237 + 0.401530i
\(307\) −18.0506 + 18.0506i −1.03020 + 1.03020i −0.0306724 + 0.999529i \(0.509765\pi\)
−0.999529 + 0.0306724i \(0.990235\pi\)
\(308\) 1.56663 1.86232i 0.0892668 0.106115i
\(309\) 7.96175 + 17.6492i 0.452928 + 1.00403i
\(310\) 13.5849 + 3.64006i 0.771571 + 0.206742i
\(311\) −0.878642 + 1.52185i −0.0498232 + 0.0862963i −0.889861 0.456231i \(-0.849199\pi\)
0.840038 + 0.542527i \(0.182532\pi\)
\(312\) −1.42849 6.07943i −0.0808723 0.344180i
\(313\) 4.46856 + 7.73978i 0.252578 + 0.437478i 0.964235 0.265049i \(-0.0853882\pi\)
−0.711657 + 0.702527i \(0.752055\pi\)
\(314\) −1.52472 + 1.52472i −0.0860451 + 0.0860451i
\(315\) 8.16712 6.49410i 0.460165 0.365901i
\(316\) 4.87782i 0.274399i
\(317\) −1.54602 0.414254i −0.0868329 0.0232668i 0.215141 0.976583i \(-0.430979\pi\)
−0.301974 + 0.953316i \(0.597646\pi\)
\(318\) −9.52453 + 7.79037i −0.534109 + 0.436862i
\(319\) −1.14878 4.28731i −0.0643193 0.240043i
\(320\) −0.340244 + 1.26981i −0.0190202 + 0.0709844i
\(321\) 9.28940 + 20.5923i 0.518484 + 1.14935i
\(322\) −18.8256 3.34363i −1.04911 0.186333i
\(323\) −10.3756 10.3756i −0.577315 0.577315i
\(324\) 5.43171 + 7.17610i 0.301762 + 0.398672i
\(325\) 9.78656 6.58679i 0.542861 0.365369i
\(326\) −9.35379 5.40041i −0.518059 0.299101i
\(327\) 3.45176 + 21.1233i 0.190883 + 1.16812i
\(328\) 0.709490 0.0391750
\(329\) −20.8210 17.5151i −1.14790 0.965637i
\(330\) 0.740980 1.95895i 0.0407896 0.107836i
\(331\) −1.85234 + 6.91304i −0.101814 + 0.379975i −0.997964 0.0637757i \(-0.979686\pi\)
0.896150 + 0.443751i \(0.146352\pi\)
\(332\) −7.89807 + 2.11628i −0.433463 + 0.116146i
\(333\) 14.2336 + 7.07759i 0.779996 + 0.387850i
\(334\) −3.24360 5.61807i −0.177482 0.307407i
\(335\) 7.75674 0.423796
\(336\) 0.0632342 4.58214i 0.00344971 0.249976i
\(337\) 7.70230i 0.419571i 0.977747 + 0.209786i \(0.0672766\pi\)
−0.977747 + 0.209786i \(0.932723\pi\)
\(338\) −5.05540 11.9768i −0.274978 0.651450i
\(339\) −5.93573 0.594487i −0.322385 0.0322881i
\(340\) 5.37780 1.44098i 0.291652 0.0781480i
\(341\) −8.52225 + 4.92032i −0.461506 + 0.266450i
\(342\) −6.87896 + 7.79204i −0.371971 + 0.421345i
\(343\) 17.9070 4.72657i 0.966886 0.255211i
\(344\) 2.01451 2.01451i 0.108615 0.108615i
\(345\) −16.2396 + 2.65372i −0.874313 + 0.142871i
\(346\) 4.37253 + 16.3185i 0.235069 + 0.877289i
\(347\) −15.3759 8.87726i −0.825420 0.476556i 0.0268622 0.999639i \(-0.491448\pi\)
−0.852282 + 0.523083i \(0.824782\pi\)
\(348\) −6.78565 4.87946i −0.363749 0.261566i
\(349\) −10.2613 + 10.2613i −0.549274 + 0.549274i −0.926231 0.376957i \(-0.876970\pi\)
0.376957 + 0.926231i \(0.376970\pi\)
\(350\) 8.13806 2.95054i 0.434997 0.157713i
\(351\) 13.6537 + 12.8287i 0.728781 + 0.684746i
\(352\) −0.459913 0.796592i −0.0245134 0.0424585i
\(353\) 3.86399 + 14.4206i 0.205660 + 0.767532i 0.989248 + 0.146251i \(0.0467207\pi\)
−0.783588 + 0.621281i \(0.786613\pi\)
\(354\) −1.87808 + 18.7519i −0.0998186 + 0.996651i
\(355\) 0.0774600 0.0447215i 0.00411115 0.00237357i
\(356\) 8.45600 8.45600i 0.448167 0.448167i
\(357\) −16.9399 + 9.47105i −0.896557 + 0.501261i
\(358\) −11.5810 + 11.5810i −0.612076 + 0.612076i
\(359\) 2.32206 8.66603i 0.122553 0.457376i −0.877187 0.480149i \(-0.840583\pi\)
0.999741 + 0.0227728i \(0.00724943\pi\)
\(360\) −1.25539 3.73866i −0.0661650 0.197045i
\(361\) 6.05872 + 3.49800i 0.318880 + 0.184105i
\(362\) −0.947220 + 3.53507i −0.0497848 + 0.185799i
\(363\) −7.23194 16.0314i −0.379578 0.841430i
\(364\) −1.47107 9.42528i −0.0771052 0.494019i
\(365\) 1.00485i 0.0525962i
\(366\) 13.2783 2.16980i 0.694066 0.113417i
\(367\) 10.4015 18.0159i 0.542954 0.940424i −0.455779 0.890093i \(-0.650639\pi\)
0.998733 0.0503305i \(-0.0160275\pi\)
\(368\) −3.61338 + 6.25856i −0.188361 + 0.326250i
\(369\) −1.77364 + 1.17668i −0.0923321 + 0.0612556i
\(370\) −4.92550 4.92550i −0.256064 0.256064i
\(371\) −15.4100 + 10.7617i −0.800048 + 0.558717i
\(372\) −6.55579 + 17.3317i −0.339902 + 0.898607i
\(373\) −15.6928 27.1808i −0.812544 1.40737i −0.911078 0.412234i \(-0.864749\pi\)
0.0985336 0.995134i \(-0.468585\pi\)
\(374\) −1.94779 + 3.37367i −0.100718 + 0.174448i
\(375\) 14.5790 11.9246i 0.752856 0.615781i
\(376\) −8.90600 + 5.14188i −0.459292 + 0.265172i
\(377\) −15.6298 7.64266i −0.804976 0.393617i
\(378\) 7.44135 + 11.5597i 0.382742 + 0.594566i
\(379\) 4.22921 + 4.22921i 0.217240 + 0.217240i 0.807334 0.590094i \(-0.200910\pi\)
−0.590094 + 0.807334i \(0.700910\pi\)
\(380\) 3.94446 2.27734i 0.202347 0.116825i
\(381\) −22.6595 2.26944i −1.16088 0.116267i
\(382\) −13.6291 + 3.65191i −0.697326 + 0.186848i
\(383\) 10.6640 + 2.85742i 0.544906 + 0.146007i 0.520763 0.853701i \(-0.325648\pi\)
0.0241433 + 0.999709i \(0.492314\pi\)
\(384\) −1.62003 0.612783i −0.0826718 0.0312709i
\(385\) 1.35567 2.89782i 0.0690914 0.147687i
\(386\) 2.68758i 0.136794i
\(387\) −1.69500 + 8.37707i −0.0861615 + 0.425830i
\(388\) −0.921459 3.43893i −0.0467800 0.174585i
\(389\) −17.7593 + 30.7599i −0.900430 + 1.55959i −0.0734932 + 0.997296i \(0.523415\pi\)
−0.826937 + 0.562295i \(0.809919\pi\)
\(390\) −3.88240 7.23367i −0.196593 0.366291i
\(391\) 30.6063 1.54783
\(392\) 0.627447 6.97182i 0.0316909 0.352130i
\(393\) 7.80161 + 17.2942i 0.393539 + 0.872378i
\(394\) 18.5987 10.7380i 0.936989 0.540971i
\(395\) 1.65965 + 6.19390i 0.0835060 + 0.311649i
\(396\) 2.47087 + 1.22863i 0.124166 + 0.0617408i
\(397\) 22.7284 + 6.09004i 1.14070 + 0.305651i 0.779234 0.626733i \(-0.215608\pi\)
0.361469 + 0.932384i \(0.382275\pi\)
\(398\) −1.60649 1.60649i −0.0805261 0.0805261i
\(399\) −11.3807 + 11.0709i −0.569747 + 0.554236i
\(400\) 3.27182i 0.163591i
\(401\) 8.04365 30.0193i 0.401681 1.49909i −0.408415 0.912796i \(-0.633918\pi\)
0.810096 0.586297i \(-0.199415\pi\)
\(402\) −1.01847 + 10.1690i −0.0507965 + 0.507184i
\(403\) −7.39830 + 37.8575i −0.368536 + 1.88581i
\(404\) 15.3465 8.86030i 0.763517 0.440817i
\(405\) 9.33886 + 7.26417i 0.464052 + 0.360959i
\(406\) −9.76977 8.21855i −0.484865 0.407880i
\(407\) 4.87389 0.241590
\(408\) 1.18300 + 7.23944i 0.0585670 + 0.358406i
\(409\) −8.52683 + 2.28476i −0.421624 + 0.112974i −0.463392 0.886153i \(-0.653368\pi\)
0.0417675 + 0.999127i \(0.486701\pi\)
\(410\) 0.900916 0.241400i 0.0444931 0.0119219i
\(411\) −3.02686 18.5231i −0.149304 0.913678i
\(412\) 11.1786 0.550730
\(413\) −5.03414 + 28.3437i −0.247714 + 1.39470i
\(414\) −1.34672 21.6384i −0.0661876 1.06347i
\(415\) −9.30899 + 5.37455i −0.456960 + 0.263826i
\(416\) −3.53861 0.691534i −0.173495 0.0339053i
\(417\) 2.19825 21.9487i 0.107649 1.07483i
\(418\) −0.824830 + 3.07831i −0.0403437 + 0.150565i
\(419\) 18.6589i 0.911548i −0.890095 0.455774i \(-0.849362\pi\)
0.890095 0.455774i \(-0.150638\pi\)
\(420\) −1.47875 5.83995i −0.0721556 0.284961i
\(421\) −23.8603 23.8603i −1.16288 1.16288i −0.983842 0.179038i \(-0.942701\pi\)
−0.179038 0.983842i \(-0.557299\pi\)
\(422\) −10.0507 2.69309i −0.489263 0.131098i
\(423\) 13.7362 27.6246i 0.667877 1.34315i
\(424\) 1.83869 + 6.86208i 0.0892946 + 0.333252i
\(425\) −12.0002 + 6.92829i −0.582093 + 0.336071i
\(426\) 0.0484589 + 0.107421i 0.00234784 + 0.00520457i
\(427\) 20.4759 1.76573i 0.990898 0.0854498i
\(428\) 13.0427 0.630441
\(429\) 5.49980 + 1.65808i 0.265533 + 0.0800529i
\(430\) 1.87261 3.24346i 0.0903054 0.156414i
\(431\) −2.49215 9.30083i −0.120043 0.448005i 0.879572 0.475766i \(-0.157829\pi\)
−0.999615 + 0.0277606i \(0.991162\pi\)
\(432\) 5.06618 1.15492i 0.243747 0.0555659i
\(433\) 22.4645i 1.07958i 0.841801 + 0.539788i \(0.181495\pi\)
−0.841801 + 0.539788i \(0.818505\pi\)
\(434\) −11.9942 + 25.6384i −0.575742 + 1.23068i
\(435\) −10.2767 3.88720i −0.492729 0.186377i
\(436\) 11.9362 + 3.19830i 0.571642 + 0.153171i
\(437\) 24.1853 6.48042i 1.15694 0.310001i
\(438\) 1.31735 + 0.131937i 0.0629452 + 0.00630421i
\(439\) −14.4953 + 8.36888i −0.691824 + 0.399425i −0.804295 0.594230i \(-0.797457\pi\)
0.112471 + 0.993655i \(0.464123\pi\)
\(440\) −0.855036 0.855036i −0.0407623 0.0407623i
\(441\) 9.99414 + 18.4694i 0.475912 + 0.879493i
\(442\) 4.95688 + 14.4430i 0.235775 + 0.686985i
\(443\) 3.92321 2.26506i 0.186397 0.107616i −0.403898 0.914804i \(-0.632345\pi\)
0.590295 + 0.807188i \(0.299011\pi\)
\(444\) 7.10399 5.81055i 0.337141 0.275757i
\(445\) 7.86039 13.6146i 0.372618 0.645394i
\(446\) −8.72789 15.1171i −0.413277 0.715817i
\(447\) 7.98190 21.1020i 0.377531 0.998089i
\(448\) −2.39647 1.12113i −0.113223 0.0529682i
\(449\) −14.7451 14.7451i −0.695867 0.695867i 0.267650 0.963516i \(-0.413753\pi\)
−0.963516 + 0.267650i \(0.913753\pi\)
\(450\) 5.42628 + 8.17917i 0.255797 + 0.385570i
\(451\) −0.326303 + 0.565174i −0.0153650 + 0.0266130i
\(452\) −1.72207 + 2.98271i −0.0809994 + 0.140295i
\(453\) 20.2676 3.31193i 0.952255 0.155608i
\(454\) 12.1986i 0.572508i
\(455\) −5.07488 11.4678i −0.237914 0.537618i
\(456\) 2.46765 + 5.47016i 0.115558 + 0.256164i
\(457\) 3.57187 13.3304i 0.167085 0.623570i −0.830680 0.556750i \(-0.812048\pi\)
0.997765 0.0668199i \(-0.0212853\pi\)
\(458\) −22.0969 12.7576i −1.03252 0.596125i
\(459\) −14.9639 16.1358i −0.698454 0.753153i
\(460\) −2.45886 + 9.17661i −0.114645 + 0.427862i
\(461\) 12.5933 12.5933i 0.586529 0.586529i −0.350161 0.936690i \(-0.613873\pi\)
0.936690 + 0.350161i \(0.113873\pi\)
\(462\) 3.62101 + 2.15776i 0.168465 + 0.100388i
\(463\) 8.53447 8.53447i 0.396631 0.396631i −0.480412 0.877043i \(-0.659513\pi\)
0.877043 + 0.480412i \(0.159513\pi\)
\(464\) −4.17894 + 2.41271i −0.194002 + 0.112007i
\(465\) −2.42758 + 24.2385i −0.112577 + 1.12403i
\(466\) −0.938124 3.50113i −0.0434578 0.162187i
\(467\) −6.58262 11.4014i −0.304607 0.527595i 0.672566 0.740037i \(-0.265192\pi\)
−0.977174 + 0.212441i \(0.931859\pi\)
\(468\) 9.99302 4.13999i 0.461928 0.191371i
\(469\) −2.72998 + 15.3706i −0.126059 + 0.709747i
\(470\) −9.55941 + 9.55941i −0.440943 + 0.440943i
\(471\) −3.03223 2.18043i −0.139718 0.100469i
\(472\) 9.42285 + 5.44028i 0.433722 + 0.250409i
\(473\) 0.678243 + 2.53124i 0.0311856 + 0.116386i
\(474\) −8.33804 + 1.36252i −0.382979 + 0.0625826i
\(475\) −8.01563 + 8.01563i −0.367782 + 0.367782i
\(476\) 0.962694 + 11.1637i 0.0441250 + 0.511686i
\(477\) −15.9772 14.1049i −0.731545 0.645821i
\(478\) −16.4369 + 9.48982i −0.751804 + 0.434054i
\(479\) −3.56379 + 0.954915i −0.162834 + 0.0436312i −0.339315 0.940673i \(-0.610195\pi\)
0.176481 + 0.984304i \(0.443529\pi\)
\(480\) −2.26562 0.226911i −0.103411 0.0103570i
\(481\) 12.5484 14.4059i 0.572157 0.656855i
\(482\) 6.80707i 0.310054i
\(483\) 0.456979 33.1141i 0.0207933 1.50674i
\(484\) −10.1539 −0.461542
\(485\) −2.34015 4.05326i −0.106261 0.184049i
\(486\) −10.7494 + 11.2894i −0.487605 + 0.512095i
\(487\) 35.6845 9.56163i 1.61702 0.433279i 0.666895 0.745152i \(-0.267623\pi\)
0.950124 + 0.311873i \(0.100956\pi\)
\(488\) 2.01048 7.50320i 0.0910100 0.339654i
\(489\) 6.61856 17.4977i 0.299302 0.791272i
\(490\) −1.57538 9.06636i −0.0711686 0.409577i
\(491\) −7.92043 −0.357444 −0.178722 0.983900i \(-0.557196\pi\)
−0.178722 + 0.983900i \(0.557196\pi\)
\(492\) 0.198181 + 1.21279i 0.00893471 + 0.0546767i
\(493\) 17.6983 + 10.2181i 0.797093 + 0.460202i
\(494\) 6.97505 + 10.3634i 0.313822 + 0.466273i
\(495\) 3.55556 + 0.719423i 0.159811 + 0.0323357i
\(496\) 7.56490 + 7.56490i 0.339674 + 0.339674i
\(497\) 0.0613571 + 0.169232i 0.00275224 + 0.00759111i
\(498\) −5.82369 12.9097i −0.260966 0.578496i
\(499\) −0.694278 + 2.59108i −0.0310801 + 0.115993i −0.979723 0.200356i \(-0.935790\pi\)
0.948643 + 0.316348i \(0.102457\pi\)
\(500\) −2.81444 10.5036i −0.125866 0.469736i
\(501\) 8.69738 7.11383i 0.388570 0.317822i
\(502\) 26.9747 + 7.22784i 1.20394 + 0.322594i
\(503\) 38.7289i 1.72684i 0.504488 + 0.863419i \(0.331681\pi\)
−0.504488 + 0.863419i \(0.668319\pi\)
\(504\) 7.85027 1.17184i 0.349679 0.0521977i
\(505\) 16.4724 16.4724i 0.733014 0.733014i
\(506\) −3.32368 5.75678i −0.147756 0.255920i
\(507\) 19.0607 11.9871i 0.846516 0.532364i
\(508\) −6.57396 + 11.3864i −0.291672 + 0.505191i
\(509\) −11.2815 3.02287i −0.500044 0.133986i −2.33542e−5 1.00000i \(-0.500007\pi\)
−0.500020 + 0.866014i \(0.666674\pi\)
\(510\) 3.96535 + 8.79019i 0.175589 + 0.389236i
\(511\) 1.99118 + 0.353655i 0.0880847 + 0.0156448i
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) −15.2410 9.58219i −0.672908 0.423064i
\(514\) 8.03829 + 29.9993i 0.354554 + 1.32321i
\(515\) 14.1947 3.80345i 0.625493 0.167600i
\(516\) 4.00627 + 2.88084i 0.176366 + 0.126822i
\(517\) 9.45926i 0.416018i
\(518\) 11.4938 8.02672i 0.505007 0.352674i
\(519\) −26.6731 + 12.0326i −1.17082 + 0.528171i
\(520\) −4.72865 + 0.325876i −0.207365 + 0.0142906i
\(521\) 7.57419 + 4.37296i 0.331831 + 0.191583i 0.656654 0.754192i \(-0.271971\pi\)
−0.324823 + 0.945775i \(0.605305\pi\)
\(522\) 6.44540 12.9622i 0.282108 0.567341i
\(523\) −13.1705 22.8120i −0.575908 0.997501i −0.995942 0.0899932i \(-0.971315\pi\)
0.420035 0.907508i \(-0.362018\pi\)
\(524\) 10.9538 0.478517
\(525\) 7.31680 + 13.0868i 0.319331 + 0.571157i
\(526\) −1.65919 1.65919i −0.0723439 0.0723439i
\(527\) 11.7268 43.7652i 0.510829 1.90644i
\(528\) 1.23321 1.00868i 0.0536686 0.0438970i
\(529\) −14.6131 + 25.3106i −0.635351 + 1.10046i
\(530\) 4.66956 + 8.08792i 0.202833 + 0.351317i
\(531\) −32.5787 + 2.02761i −1.41379 + 0.0879908i
\(532\) 3.12446 + 8.61775i 0.135463 + 0.373627i
\(533\) 0.830401 + 2.41957i 0.0359687 + 0.104803i
\(534\) 16.8165 + 12.0925i 0.727721 + 0.523293i
\(535\) 16.5617 4.43769i 0.716024 0.191858i
\(536\) 5.10994 + 2.95022i 0.220716 + 0.127430i
\(537\) −23.0313 16.5614i −0.993873 0.714679i
\(538\) −4.09811 4.09811i −0.176682 0.176682i
\(539\) 5.26513 + 3.70625i 0.226785 + 0.159639i
\(540\) 6.04012 3.19026i 0.259926 0.137287i
\(541\) 26.2800 + 7.04170i 1.12987 + 0.302747i 0.774869 0.632121i \(-0.217816\pi\)
0.354996 + 0.934868i \(0.384482\pi\)
\(542\) 9.58898 + 5.53620i 0.411882 + 0.237800i
\(543\) −6.30736 0.631707i −0.270675 0.0271092i
\(544\) 4.09082 + 1.09613i 0.175392 + 0.0469963i
\(545\) 16.2449 0.695856
\(546\) 15.7005 5.14738i 0.671918 0.220288i
\(547\) 2.60008 0.111171 0.0555857 0.998454i \(-0.482297\pi\)
0.0555857 + 0.998454i \(0.482297\pi\)
\(548\) −10.4669 2.80461i −0.447125 0.119807i
\(549\) 7.41802 + 22.0915i 0.316593 + 0.942841i
\(550\) 2.60631 + 1.50475i 0.111133 + 0.0641628i
\(551\) 16.1489 + 4.32708i 0.687965 + 0.184340i
\(552\) −11.7076 4.42844i −0.498308 0.188487i
\(553\) −12.8578 + 1.10879i −0.546769 + 0.0471504i
\(554\) −19.6316 19.6316i −0.834068 0.834068i
\(555\) 7.04370 9.79538i 0.298989 0.415791i
\(556\) −11.0293 6.36774i −0.467745 0.270053i
\(557\) 28.2933 7.58116i 1.19882 0.321224i 0.396457 0.918053i \(-0.370240\pi\)
0.802368 + 0.596829i \(0.203573\pi\)
\(558\) −31.4577 6.36507i −1.33171 0.269455i
\(559\) 9.22788 + 4.51225i 0.390298 + 0.190848i
\(560\) −3.42452 0.608230i −0.144712 0.0257024i
\(561\) −6.31095 2.38714i −0.266449 0.100785i
\(562\) 8.56757 + 14.8395i 0.361401 + 0.625965i
\(563\) 2.59433 4.49352i 0.109338 0.189379i −0.806164 0.591692i \(-0.798460\pi\)
0.915502 + 0.402313i \(0.131794\pi\)
\(564\) −11.2771 13.7874i −0.474853 0.580556i
\(565\) −1.17185 + 4.37340i −0.0493001 + 0.183990i
\(566\) 0.287449 + 0.287449i 0.0120824 + 0.0120824i
\(567\) −17.6813 + 15.9490i −0.742545 + 0.669797i
\(568\) 0.0680381 0.00285482
\(569\) 1.75248 + 3.03538i 0.0734677 + 0.127250i 0.900419 0.435024i \(-0.143260\pi\)
−0.826951 + 0.562274i \(0.809927\pi\)
\(570\) 4.99464 + 6.10645i 0.209202 + 0.255771i
\(571\) −10.5172 6.07211i −0.440132 0.254110i 0.263522 0.964653i \(-0.415116\pi\)
−0.703653 + 0.710543i \(0.748449\pi\)
\(572\) 2.17832 2.50078i 0.0910803 0.104563i
\(573\) −10.0495 22.2772i −0.419824 0.930645i
\(574\) 0.161275 + 1.87019i 0.00673151 + 0.0780604i
\(575\) 23.6447i 0.986052i
\(576\) 0.594956 2.94041i 0.0247898 0.122517i
\(577\) −15.9093 + 4.26290i −0.662315 + 0.177467i −0.574290 0.818652i \(-0.694722\pi\)
−0.0880243 + 0.996118i \(0.528055\pi\)
\(578\) −0.242335 0.904407i −0.0100798 0.0376184i
\(579\) 4.59409 0.750719i 0.190924 0.0311988i
\(580\) −4.48554 + 4.48554i −0.186252 + 0.186252i
\(581\) −7.37378 20.3380i −0.305916 0.843763i
\(582\) 5.62105 2.53572i 0.233000 0.105109i
\(583\) −6.31191 1.69127i −0.261413 0.0700453i
\(584\) 0.382187 0.661968i 0.0158150 0.0273924i
\(585\) 11.2806 8.65706i 0.466396 0.357926i
\(586\) −9.83100 17.0278i −0.406115 0.703412i
\(587\) 15.8723 15.8723i 0.655121 0.655121i −0.299101 0.954222i \(-0.596687\pi\)
0.954222 + 0.299101i \(0.0966866\pi\)
\(588\) 12.0927 0.874891i 0.498697 0.0360799i
\(589\) 37.0665i 1.52730i
\(590\) 13.8162 + 3.70205i 0.568805 + 0.152411i
\(591\) 23.5504 + 28.7928i 0.968735 + 1.18438i
\(592\) −1.37141 5.11817i −0.0563646 0.210355i
\(593\) 2.32926 8.69293i 0.0956514 0.356976i −0.901466 0.432850i \(-0.857508\pi\)
0.997117 + 0.0758740i \(0.0241747\pi\)
\(594\) −1.41000 + 4.56684i −0.0578531 + 0.187380i
\(595\) 5.02081 + 13.8482i 0.205833 + 0.567719i
\(596\) −9.21053 9.21053i −0.377278 0.377278i
\(597\) 2.29736 3.19484i 0.0940247 0.130756i
\(598\) −25.5727 4.99756i −1.04575 0.204365i
\(599\) 22.4584 + 12.9663i 0.917624 + 0.529791i 0.882876 0.469606i \(-0.155604\pi\)
0.0347478 + 0.999396i \(0.488937\pi\)
\(600\) 5.59278 0.913916i 0.228324 0.0373105i
\(601\) 46.0452 1.87822 0.939111 0.343614i \(-0.111651\pi\)
0.939111 + 0.343614i \(0.111651\pi\)
\(602\) 5.76810 + 4.85226i 0.235090 + 0.197763i
\(603\) −17.6672 + 1.09956i −0.719463 + 0.0447775i
\(604\) 3.06874 11.4527i 0.124865 0.466004i
\(605\) −12.8935 + 3.45481i −0.524197 + 0.140458i
\(606\) 19.4323 + 23.7580i 0.789385 + 0.965104i
\(607\) 14.2460 + 24.6748i 0.578228 + 1.00152i 0.995683 + 0.0928221i \(0.0295888\pi\)
−0.417455 + 0.908698i \(0.637078\pi\)
\(608\) 3.46468 0.140511
\(609\) 11.3196 18.9959i 0.458695 0.769753i
\(610\) 10.2117i 0.413459i
\(611\) −27.9591 24.3539i −1.13110 0.985254i
\(612\) −12.0445 + 4.04438i −0.486870 + 0.163484i
\(613\) −7.14044 + 1.91328i −0.288400 + 0.0772765i −0.400119 0.916463i \(-0.631031\pi\)
0.111719 + 0.993740i \(0.464364\pi\)
\(614\) −22.1074 + 12.7637i −0.892181 + 0.515101i
\(615\) 0.664296 + 1.47258i 0.0267870 + 0.0593800i
\(616\) 1.99525 1.39339i 0.0803908 0.0561413i
\(617\) 14.9269 14.9269i 0.600935 0.600935i −0.339626 0.940561i \(-0.610301\pi\)
0.940561 + 0.339626i \(0.110301\pi\)
\(618\) 3.12251 + 19.1085i 0.125606 + 0.768655i
\(619\) −2.18594 8.15804i −0.0878604 0.327899i 0.907980 0.419013i \(-0.137624\pi\)
−0.995840 + 0.0911139i \(0.970957\pi\)
\(620\) 12.1799 + 7.03206i 0.489156 + 0.282414i
\(621\) 36.6121 8.34630i 1.46919 0.334926i
\(622\) −1.24259 + 1.24259i −0.0498232 + 0.0498232i
\(623\) 24.2119 + 20.3676i 0.970029 + 0.816010i
\(624\) 0.193656 6.24199i 0.00775242 0.249880i
\(625\) 1.03196 + 1.78741i 0.0412784 + 0.0714962i
\(626\) 2.31310 + 8.63260i 0.0924500 + 0.345028i
\(627\) −5.49239 0.550085i −0.219345 0.0219683i
\(628\) −1.86740 + 1.07814i −0.0745172 + 0.0430225i
\(629\) −15.8680 + 15.8680i −0.632699 + 0.632699i
\(630\) 9.56963 4.15902i 0.381263 0.165699i
\(631\) 1.00215 1.00215i 0.0398951 0.0398951i −0.686878 0.726773i \(-0.741019\pi\)
0.726773 + 0.686878i \(0.241019\pi\)
\(632\) −1.26247 + 4.71161i −0.0502185 + 0.187418i
\(633\) 1.79604 17.9328i 0.0713862 0.712765i
\(634\) −1.38612 0.800277i −0.0550499 0.0317831i
\(635\) −4.47350 + 16.6953i −0.177525 + 0.662534i
\(636\) −11.2163 + 5.05979i −0.444755 + 0.200634i
\(637\) 24.5104 6.02018i 0.971136 0.238528i
\(638\) 4.43855i 0.175724i
\(639\) −0.170087 + 0.112840i −0.00672855 + 0.00446390i
\(640\) −0.657301 + 1.13848i −0.0259821 + 0.0450023i
\(641\) −0.698922 + 1.21057i −0.0276058 + 0.0478146i −0.879498 0.475902i \(-0.842122\pi\)
0.851892 + 0.523717i \(0.175455\pi\)
\(642\) 3.64320 + 22.2949i 0.143786 + 0.879908i
\(643\) −30.2113 30.2113i −1.19142 1.19142i −0.976670 0.214746i \(-0.931108\pi\)
−0.214746 0.976670i \(-0.568892\pi\)
\(644\) −17.3187 8.10212i −0.682454 0.319268i
\(645\) 6.06738 + 2.29501i 0.238903 + 0.0903660i
\(646\) −7.33668 12.7075i −0.288658 0.499970i
\(647\) 14.8509 25.7224i 0.583847 1.01125i −0.411171 0.911558i \(-0.634880\pi\)
0.995018 0.0996948i \(-0.0317867\pi\)
\(648\) 3.38932 + 8.33742i 0.133145 + 0.327525i
\(649\) −8.66737 + 5.00411i −0.340224 + 0.196428i
\(650\) 11.1579 3.82940i 0.437648 0.150202i
\(651\) −47.1760 13.3412i −1.84898 0.522881i
\(652\) −7.63734 7.63734i −0.299101 0.299101i
\(653\) 11.2686 6.50590i 0.440973 0.254596i −0.263037 0.964786i \(-0.584724\pi\)
0.704010 + 0.710190i \(0.251391\pi\)
\(654\) −2.13297 + 21.2969i −0.0834058 + 0.832775i
\(655\) 13.9092 3.72695i 0.543477 0.145624i
\(656\) 0.685315 + 0.183630i 0.0267570 + 0.00716953i
\(657\) 0.142442 + 2.28870i 0.00555721 + 0.0892905i
\(658\) −15.5783 22.3071i −0.607304 0.869622i
\(659\) 9.45586i 0.368348i 0.982894 + 0.184174i \(0.0589610\pi\)
−0.982894 + 0.184174i \(0.941039\pi\)
\(660\) 1.22274 1.70042i 0.0475952 0.0661887i
\(661\) −6.94162 25.9065i −0.269998 1.00764i −0.959120 0.283000i \(-0.908670\pi\)
0.689122 0.724645i \(-0.257996\pi\)
\(662\) −3.57845 + 6.19806i −0.139081 + 0.240895i
\(663\) −23.3040 + 12.5075i −0.905053 + 0.485753i
\(664\) −8.17669 −0.317317
\(665\) 6.89961 + 9.87981i 0.267555 + 0.383123i
\(666\) 11.9168 + 10.5204i 0.461766 + 0.407656i
\(667\) −30.2002 + 17.4361i −1.16936 + 0.675129i
\(668\) −1.67901 6.26615i −0.0649628 0.242445i
\(669\) 23.4030 19.1419i 0.904811 0.740070i
\(670\) 7.49244 + 2.00759i 0.289458 + 0.0775601i
\(671\) 5.05235 + 5.05235i 0.195044 + 0.195044i
\(672\) 1.24702 4.40964i 0.0481050 0.170106i
\(673\) 34.7456i 1.33935i −0.742656 0.669673i \(-0.766434\pi\)
0.742656 0.669673i \(-0.233566\pi\)
\(674\) −1.99350 + 7.43985i −0.0767868 + 0.286572i
\(675\) −12.4656 + 11.5602i −0.479800 + 0.444954i
\(676\) −1.78333 12.8771i −0.0685895 0.495273i
\(677\) −11.3247 + 6.53833i −0.435244 + 0.251288i −0.701578 0.712592i \(-0.747521\pi\)
0.266334 + 0.963881i \(0.414188\pi\)
\(678\) −5.57961 2.11051i −0.214284 0.0810537i
\(679\) 8.85546 3.21065i 0.339841 0.123213i
\(680\) 5.56751 0.213504
\(681\) 20.8520 3.40743i 0.799051 0.130573i
\(682\) −9.50533 + 2.54695i −0.363978 + 0.0975276i
\(683\) −36.0735 + 9.66587i −1.38031 + 0.369854i −0.871235 0.490865i \(-0.836681\pi\)
−0.509079 + 0.860720i \(0.670014\pi\)
\(684\) −8.66129 + 5.74613i −0.331173 + 0.219709i
\(685\) −14.2453 −0.544283
\(686\) 18.5201 + 0.0691534i 0.707102 + 0.00264029i
\(687\) 15.6353 41.3355i 0.596525 1.57705i
\(688\) 2.46726 1.42447i 0.0940633 0.0543075i
\(689\) −21.2497 + 14.3020i −0.809548 + 0.544862i
\(690\) −16.3731 1.63983i −0.623314 0.0624274i
\(691\) −3.44719 + 12.8651i −0.131137 + 0.489411i −0.999984 0.00567024i \(-0.998195\pi\)
0.868847 + 0.495081i \(0.164862\pi\)
\(692\) 16.8942i 0.642220i
\(693\) −2.67697 + 6.79241i −0.101689 + 0.258022i
\(694\) −12.5543 12.5543i −0.476556 0.476556i
\(695\) −16.1716 4.33317i −0.613425 0.164367i
\(696\) −5.29154 6.46945i −0.200575 0.245224i
\(697\) −0.777695 2.90240i −0.0294573 0.109936i
\(698\) −12.5674 + 7.25582i −0.475685 + 0.274637i
\(699\) 5.72271 2.58158i 0.216453 0.0976442i
\(700\) 8.62442 0.743723i 0.325972 0.0281101i
\(701\) 16.2274 0.612899 0.306450 0.951887i \(-0.400859\pi\)
0.306450 + 0.951887i \(0.400859\pi\)
\(702\) 9.86816 + 15.9254i 0.372450 + 0.601067i
\(703\) −9.17917 + 15.8988i −0.346199 + 0.599635i
\(704\) −0.238068 0.888483i −0.00897253 0.0334860i
\(705\) −19.0109 13.6704i −0.715991 0.514858i
\(706\) 14.9293i 0.561872i
\(707\) 26.8439 + 38.4388i 1.00957 + 1.44564i
\(708\) −6.66742 + 17.6268i −0.250577 + 0.662457i
\(709\) −20.7567 5.56174i −0.779533 0.208875i −0.152954 0.988233i \(-0.548879\pi\)
−0.626579 + 0.779358i \(0.715545\pi\)
\(710\) 0.0863954 0.0231496i 0.00324236 0.000868788i
\(711\) −4.65812 13.8723i −0.174693 0.520251i
\(712\) 10.3564 5.97929i 0.388124 0.224083i
\(713\) 54.6698 + 54.6698i 2.04740 + 2.04740i
\(714\) −18.8140 + 4.76395i −0.704097 + 0.178286i
\(715\) 1.91518 3.91668i 0.0716235 0.146475i
\(716\) −14.1838 + 8.18902i −0.530074 + 0.306038i
\(717\) −20.8130 25.4460i −0.777276 0.950299i
\(718\) 4.48587 7.76975i 0.167411 0.289965i
\(719\) 5.65805 + 9.80002i 0.211010 + 0.365479i 0.952031 0.306002i \(-0.0989916\pi\)
−0.741021 + 0.671482i \(0.765658\pi\)
\(720\) −0.244978 3.93619i −0.00912980 0.146693i
\(721\) 2.54103 + 29.4665i 0.0946329 + 1.09739i
\(722\) 4.94692 + 4.94692i 0.184105 + 0.184105i
\(723\) 11.6359 1.90141i 0.432742 0.0707144i
\(724\) −1.82989 + 3.16946i −0.0680072 + 0.117792i
\(725\) 7.89396 13.6727i 0.293174 0.507793i
\(726\) −2.83629 17.3569i −0.105265 0.644175i
\(727\) 53.2858i 1.97626i 0.153620 + 0.988130i \(0.450907\pi\)
−0.153620 + 0.988130i \(0.549093\pi\)
\(728\) 1.01849 9.48487i 0.0377479 0.351532i
\(729\) −22.3004 15.2214i −0.825941 0.563756i
\(730\) 0.260074 0.970609i 0.00962577 0.0359239i
\(731\) −10.4491 6.03282i −0.386476 0.223132i
\(732\) 13.3874 + 1.34080i 0.494812 + 0.0495574i
\(733\) 4.31821 16.1158i 0.159497 0.595250i −0.839181 0.543852i \(-0.816965\pi\)
0.998678 0.0513987i \(-0.0163679\pi\)
\(734\) 14.7099 14.7099i 0.542954 0.542954i
\(735\) 15.0578 5.22543i 0.555415 0.192743i
\(736\) −5.11010 + 5.11010i −0.188361 + 0.188361i
\(737\) −4.70025 + 2.71369i −0.173136 + 0.0999601i
\(738\) −2.01775 + 0.677534i −0.0742746 + 0.0249404i
\(739\) 1.39745 + 5.21534i 0.0514059 + 0.191849i 0.986854 0.161615i \(-0.0516702\pi\)
−0.935448 + 0.353464i \(0.885004\pi\)
\(740\) −3.48285 6.03248i −0.128032 0.221758i
\(741\) −15.7667 + 14.8178i −0.579204 + 0.544346i
\(742\) −17.6703 + 6.40655i −0.648696 + 0.235192i
\(743\) −32.5181 + 32.5181i −1.19297 + 1.19297i −0.216745 + 0.976228i \(0.569544\pi\)
−0.976228 + 0.216745i \(0.930456\pi\)
\(744\) −10.8182 + 15.0444i −0.396614 + 0.551554i
\(745\) −14.8294 8.56178i −0.543309 0.313679i
\(746\) −8.12321 30.3162i −0.297412 1.10996i
\(747\) 20.4408 13.5609i 0.747888 0.496169i
\(748\) −2.75459 + 2.75459i −0.100718 + 0.100718i
\(749\) 2.96475 + 34.3801i 0.108330 + 1.25622i
\(750\) 17.1685 7.74491i 0.626906 0.282804i
\(751\) −27.8494 + 16.0789i −1.01624 + 0.586726i −0.913012 0.407932i \(-0.866250\pi\)
−0.103226 + 0.994658i \(0.532917\pi\)
\(752\) −9.93335 + 2.66163i −0.362232 + 0.0970598i
\(753\) −4.82030 + 48.1289i −0.175661 + 1.75391i
\(754\) −13.1192 11.4275i −0.477772 0.416166i
\(755\) 15.5868i 0.567264i
\(756\) 4.19592 + 13.0918i 0.152604 + 0.476143i
\(757\) 6.28135 0.228300 0.114150 0.993464i \(-0.463586\pi\)
0.114150 + 0.993464i \(0.463586\pi\)
\(758\) 2.99050 + 5.17970i 0.108620 + 0.188135i
\(759\) 8.91212 7.28947i 0.323489 0.264591i
\(760\) 4.39948 1.17884i 0.159586 0.0427609i
\(761\) 7.95550 29.6903i 0.288387 1.07627i −0.657942 0.753069i \(-0.728573\pi\)
0.946329 0.323205i \(-0.104760\pi\)
\(762\) −21.3000 8.05682i −0.771618 0.291868i
\(763\) −5.71738 + 32.1905i −0.206983 + 1.16538i
\(764\) −14.1099 −0.510478
\(765\) −13.9181 + 9.23365i −0.503211 + 0.333843i
\(766\) 9.56110 + 5.52011i 0.345457 + 0.199450i
\(767\) −7.52429 + 38.5021i −0.271686 + 1.39023i
\(768\) −1.40623 1.01120i −0.0507429 0.0364884i
\(769\) 4.35626 + 4.35626i 0.157091 + 0.157091i 0.781276 0.624185i \(-0.214569\pi\)
−0.624185 + 0.781276i \(0.714569\pi\)
\(770\) 2.05949 2.44821i 0.0742188 0.0882273i
\(771\) −49.0349 + 22.1202i −1.76595 + 0.796639i
\(772\) 0.695596 2.59600i 0.0250350 0.0934321i
\(773\) 3.29267 + 12.2884i 0.118429 + 0.441984i 0.999521 0.0309622i \(-0.00985716\pi\)
−0.881091 + 0.472946i \(0.843190\pi\)