Properties

Label 108.3.j.a.7.11
Level 108
Weight 3
Character 108.7
Analytic conductor 2.943
Analytic rank 0
Dimension 204
CM no
Inner twists 4

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 7.11
Character \(\chi\) \(=\) 108.7
Dual form 108.3.j.a.31.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.08954 + 1.67717i) q^{2} +(-2.24560 - 1.98929i) q^{3} +(-1.62579 - 3.65470i) q^{4} +(0.641948 + 3.64067i) q^{5} +(5.78306 - 1.59883i) q^{6} +(2.33709 - 2.78523i) q^{7} +(7.90091 + 1.25523i) q^{8} +(1.08543 + 8.93431i) q^{9} +O(q^{10})\) \(q+(-1.08954 + 1.67717i) q^{2} +(-2.24560 - 1.98929i) q^{3} +(-1.62579 - 3.65470i) q^{4} +(0.641948 + 3.64067i) q^{5} +(5.78306 - 1.59883i) q^{6} +(2.33709 - 2.78523i) q^{7} +(7.90091 + 1.25523i) q^{8} +(1.08543 + 8.93431i) q^{9} +(-6.80544 - 2.89001i) q^{10} +(15.6847 + 2.76563i) q^{11} +(-3.61939 + 11.4412i) q^{12} +(13.1438 + 4.78396i) q^{13} +(2.12495 + 6.95433i) q^{14} +(5.80079 - 9.45250i) q^{15} +(-10.7136 + 11.8835i) q^{16} +(4.98573 + 8.63554i) q^{17} +(-16.1670 - 7.91386i) q^{18} +(-14.6667 - 8.46782i) q^{19} +(12.2619 - 8.26508i) q^{20} +(-10.7888 + 1.60537i) q^{21} +(-21.7276 + 23.2926i) q^{22} +(0.374408 + 0.446202i) q^{23} +(-15.2453 - 18.5360i) q^{24} +(10.6500 - 3.87627i) q^{25} +(-22.3443 + 16.8321i) q^{26} +(15.3355 - 22.2221i) q^{27} +(-13.9788 - 4.01315i) q^{28} +(16.6023 - 6.04274i) q^{29} +(9.53322 + 20.0278i) q^{30} +(18.3535 + 21.8729i) q^{31} +(-8.25774 - 30.9162i) q^{32} +(-29.7199 - 37.4119i) q^{33} +(-19.9154 - 1.04689i) q^{34} +(11.6404 + 6.72059i) q^{35} +(30.8875 - 18.4922i) q^{36} +(-31.7620 - 55.0133i) q^{37} +(30.1820 - 15.3725i) q^{38} +(-19.9990 - 36.8897i) q^{39} +(0.502105 + 29.5704i) q^{40} +(59.2116 + 21.5512i) q^{41} +(9.06241 - 19.8438i) q^{42} +(-1.70662 - 0.300923i) q^{43} +(-15.3924 - 61.8191i) q^{44} +(-31.8300 + 9.68705i) q^{45} +(-1.15629 + 0.141789i) q^{46} +(-51.7208 + 61.6385i) q^{47} +(47.6983 - 5.37314i) q^{48} +(6.21322 + 35.2369i) q^{49} +(-5.10244 + 22.0851i) q^{50} +(5.98266 - 29.3100i) q^{51} +(-3.88516 - 55.8143i) q^{52} -66.4040 q^{53} +(20.5615 + 49.9322i) q^{54} +58.8781i q^{55} +(21.9612 - 19.0723i) q^{56} +(16.0905 + 48.1917i) q^{57} +(-7.95423 + 34.4287i) q^{58} +(-65.4349 + 11.5379i) q^{59} +(-43.9769 - 5.83236i) q^{60} +(5.43023 + 4.55650i) q^{61} +(-56.6815 + 6.95051i) q^{62} +(27.4209 + 17.8571i) q^{63} +(60.8488 + 19.8349i) q^{64} +(-8.97915 + 50.9233i) q^{65} +(95.1272 - 9.08330i) q^{66} +(12.7838 - 35.1231i) q^{67} +(23.4545 - 32.2609i) q^{68} +(0.0468560 - 1.74680i) q^{69} +(-23.9543 + 12.2005i) q^{70} +(-12.7937 + 7.38644i) q^{71} +(-2.63869 + 71.9516i) q^{72} +(66.1544 - 114.583i) q^{73} +(126.873 + 6.66926i) q^{74} +(-31.6266 - 12.4813i) q^{75} +(-7.10235 + 67.3692i) q^{76} +(44.3594 - 37.2220i) q^{77} +(83.6601 + 6.65120i) q^{78} +(24.4484 + 67.1713i) q^{79} +(-50.1416 - 31.3761i) q^{80} +(-78.6437 + 19.3952i) q^{81} +(-100.659 + 75.8267i) q^{82} +(-8.25600 - 22.6832i) q^{83} +(23.4075 + 36.8198i) q^{84} +(-28.2385 + 23.6950i) q^{85} +(2.36413 - 2.53442i) q^{86} +(-49.3029 - 19.4572i) q^{87} +(120.452 + 41.5389i) q^{88} +(-29.6464 + 51.3491i) q^{89} +(18.4334 - 63.9388i) q^{90} +(44.0427 - 25.4281i) q^{91} +(1.02202 - 2.09378i) q^{92} +(2.29689 - 85.6284i) q^{93} +(-47.0260 - 153.902i) q^{94} +(21.4132 - 58.8324i) q^{95} +(-42.9577 + 85.8524i) q^{96} +(13.3273 - 75.5830i) q^{97} +(-65.8678 - 27.9715i) q^{98} +(-7.68436 + 143.134i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 204q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 3q^{8} - 12q^{9} + O(q^{10}) \) \( 204q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 3q^{8} - 12q^{9} - 3q^{10} + 39q^{12} - 12q^{13} + 39q^{14} - 6q^{16} - 6q^{17} - 27q^{18} - 69q^{20} - 12q^{21} - 6q^{22} - 138q^{24} - 12q^{25} - 174q^{26} - 12q^{28} + 60q^{29} - 153q^{30} - 96q^{32} + 48q^{33} + 6q^{34} + 24q^{36} - 6q^{37} + 72q^{38} + 69q^{40} - 192q^{41} - 126q^{42} - 219q^{44} - 132q^{45} - 3q^{46} - 219q^{48} - 12q^{49} - 165q^{50} + 21q^{52} - 24q^{53} + 78q^{54} + 99q^{56} - 150q^{57} - 141q^{58} + 210q^{60} - 12q^{61} + 294q^{62} - 3q^{64} - 156q^{65} + 393q^{66} + 375q^{68} - 60q^{69} - 165q^{70} + 228q^{72} - 6q^{73} + 447q^{74} - 54q^{76} + 132q^{77} + 750q^{78} + 798q^{80} + 228q^{81} - 12q^{82} + 762q^{84} + 138q^{85} + 606q^{86} - 198q^{88} - 114q^{89} + 894q^{90} + 723q^{92} - 1020q^{93} - 357q^{94} + 474q^{96} + 168q^{97} + 510q^{98} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.08954 + 1.67717i −0.544772 + 0.838584i
\(3\) −2.24560 1.98929i −0.748533 0.663097i
\(4\) −1.62579 3.65470i −0.406447 0.913674i
\(5\) 0.641948 + 3.64067i 0.128390 + 0.728133i 0.979237 + 0.202720i \(0.0649781\pi\)
−0.850847 + 0.525413i \(0.823911\pi\)
\(6\) 5.78306 1.59883i 0.963843 0.266471i
\(7\) 2.33709 2.78523i 0.333870 0.397891i −0.572825 0.819678i \(-0.694153\pi\)
0.906695 + 0.421787i \(0.138597\pi\)
\(8\) 7.90091 + 1.25523i 0.987614 + 0.156904i
\(9\) 1.08543 + 8.93431i 0.120604 + 0.992701i
\(10\) −6.80544 2.89001i −0.680544 0.289001i
\(11\) 15.6847 + 2.76563i 1.42588 + 0.251421i 0.832734 0.553673i \(-0.186774\pi\)
0.593147 + 0.805094i \(0.297885\pi\)
\(12\) −3.61939 + 11.4412i −0.301616 + 0.953430i
\(13\) 13.1438 + 4.78396i 1.01106 + 0.367997i 0.793841 0.608126i \(-0.208078\pi\)
0.217222 + 0.976122i \(0.430301\pi\)
\(14\) 2.12495 + 6.95433i 0.151782 + 0.496738i
\(15\) 5.80079 9.45250i 0.386719 0.630167i
\(16\) −10.7136 + 11.8835i −0.669601 + 0.742721i
\(17\) 4.98573 + 8.63554i 0.293278 + 0.507973i 0.974583 0.224027i \(-0.0719204\pi\)
−0.681305 + 0.732000i \(0.738587\pi\)
\(18\) −16.1670 7.91386i −0.898165 0.439659i
\(19\) −14.6667 8.46782i −0.771931 0.445675i 0.0616321 0.998099i \(-0.480369\pi\)
−0.833563 + 0.552424i \(0.813703\pi\)
\(20\) 12.2619 8.26508i 0.613093 0.413254i
\(21\) −10.7888 + 1.60537i −0.513753 + 0.0764460i
\(22\) −21.7276 + 23.2926i −0.987618 + 1.05875i
\(23\) 0.374408 + 0.446202i 0.0162786 + 0.0194001i 0.774122 0.633036i \(-0.218192\pi\)
−0.757844 + 0.652436i \(0.773747\pi\)
\(24\) −15.2453 18.5360i −0.635219 0.772332i
\(25\) 10.6500 3.87627i 0.425999 0.155051i
\(26\) −22.3443 + 16.8321i −0.859394 + 0.647387i
\(27\) 15.3355 22.2221i 0.567982 0.823041i
\(28\) −13.9788 4.01315i −0.499243 0.143327i
\(29\) 16.6023 6.04274i 0.572493 0.208370i −0.0395190 0.999219i \(-0.512583\pi\)
0.612012 + 0.790848i \(0.290360\pi\)
\(30\) 9.53322 + 20.0278i 0.317774 + 0.667594i
\(31\) 18.3535 + 21.8729i 0.592050 + 0.705578i 0.975999 0.217777i \(-0.0698805\pi\)
−0.383949 + 0.923354i \(0.625436\pi\)
\(32\) −8.25774 30.9162i −0.258054 0.966130i
\(33\) −29.7199 37.4119i −0.900602 1.13369i
\(34\) −19.9154 1.04689i −0.585748 0.0307907i
\(35\) 11.6404 + 6.72059i 0.332583 + 0.192017i
\(36\) 30.8875 18.4922i 0.857986 0.513673i
\(37\) −31.7620 55.0133i −0.858431 1.48685i −0.873425 0.486959i \(-0.838106\pi\)
0.0149934 0.999888i \(-0.495227\pi\)
\(38\) 30.1820 15.3725i 0.794262 0.404538i
\(39\) −19.9990 36.8897i −0.512796 0.945891i
\(40\) 0.502105 + 29.5704i 0.0125526 + 0.739259i
\(41\) 59.2116 + 21.5512i 1.44418 + 0.525640i 0.940961 0.338516i \(-0.109925\pi\)
0.503224 + 0.864156i \(0.332147\pi\)
\(42\) 9.06241 19.8438i 0.215772 0.472471i
\(43\) −1.70662 0.300923i −0.0396888 0.00699821i 0.153769 0.988107i \(-0.450859\pi\)
−0.193457 + 0.981109i \(0.561970\pi\)
\(44\) −15.3924 61.8191i −0.349828 1.40498i
\(45\) −31.8300 + 9.68705i −0.707334 + 0.215268i
\(46\) −1.15629 + 0.141789i −0.0251367 + 0.00308236i
\(47\) −51.7208 + 61.6385i −1.10044 + 1.31146i −0.154185 + 0.988042i \(0.549275\pi\)
−0.946257 + 0.323415i \(0.895169\pi\)
\(48\) 47.6983 5.37314i 0.993715 0.111940i
\(49\) 6.21322 + 35.2369i 0.126800 + 0.719120i
\(50\) −5.10244 + 22.0851i −0.102049 + 0.441703i
\(51\) 5.98266 29.3100i 0.117307 0.574707i
\(52\) −3.88516 55.8143i −0.0747147 1.07335i
\(53\) −66.4040 −1.25290 −0.626452 0.779460i \(-0.715494\pi\)
−0.626452 + 0.779460i \(0.715494\pi\)
\(54\) 20.5615 + 49.9322i 0.380769 + 0.924670i
\(55\) 58.8781i 1.07051i
\(56\) 21.9612 19.0723i 0.392165 0.340577i
\(57\) 16.0905 + 48.1917i 0.282290 + 0.845468i
\(58\) −7.95423 + 34.4287i −0.137142 + 0.593598i
\(59\) −65.4349 + 11.5379i −1.10907 + 0.195558i −0.698035 0.716063i \(-0.745942\pi\)
−0.411031 + 0.911622i \(0.634831\pi\)
\(60\) −43.9769 5.83236i −0.732948 0.0972060i
\(61\) 5.43023 + 4.55650i 0.0890201 + 0.0746967i 0.686212 0.727402i \(-0.259272\pi\)
−0.597192 + 0.802099i \(0.703717\pi\)
\(62\) −56.6815 + 6.95051i −0.914218 + 0.112105i
\(63\) 27.4209 + 17.8571i 0.435252 + 0.283446i
\(64\) 60.8488 + 19.8349i 0.950763 + 0.309920i
\(65\) −8.97915 + 50.9233i −0.138141 + 0.783435i
\(66\) 95.1272 9.08330i 1.44132 0.137626i
\(67\) 12.7838 35.1231i 0.190803 0.524226i −0.806995 0.590558i \(-0.798908\pi\)
0.997798 + 0.0663325i \(0.0211298\pi\)
\(68\) 23.4545 32.2609i 0.344920 0.474425i
\(69\) 0.0468560 1.74680i 0.000679073 0.0253159i
\(70\) −23.9543 + 12.2005i −0.342204 + 0.174293i
\(71\) −12.7937 + 7.38644i −0.180193 + 0.104034i −0.587383 0.809309i \(-0.699842\pi\)
0.407190 + 0.913343i \(0.366509\pi\)
\(72\) −2.63869 + 71.9516i −0.0366485 + 0.999328i
\(73\) 66.1544 114.583i 0.906224 1.56963i 0.0869593 0.996212i \(-0.472285\pi\)
0.819265 0.573415i \(-0.194382\pi\)
\(74\) 126.873 + 6.66926i 1.71450 + 0.0901251i
\(75\) −31.6266 12.4813i −0.421688 0.166418i
\(76\) −7.10235 + 67.3692i −0.0934520 + 0.886437i
\(77\) 44.3594 37.2220i 0.576097 0.483403i
\(78\) 83.6601 + 6.65120i 1.07257 + 0.0852718i
\(79\) 24.4484 + 67.1713i 0.309473 + 0.850270i 0.992759 + 0.120119i \(0.0383277\pi\)
−0.683287 + 0.730150i \(0.739450\pi\)
\(80\) −50.1416 31.3761i −0.626770 0.392201i
\(81\) −78.6437 + 19.3952i −0.970910 + 0.239446i
\(82\) −100.659 + 75.8267i −1.22754 + 0.924716i
\(83\) −8.25600 22.6832i −0.0994699 0.273291i 0.879969 0.475030i \(-0.157563\pi\)
−0.979439 + 0.201739i \(0.935341\pi\)
\(84\) 23.4075 + 36.8198i 0.278660 + 0.438331i
\(85\) −28.2385 + 23.6950i −0.332218 + 0.278764i
\(86\) 2.36413 2.53442i 0.0274899 0.0294700i
\(87\) −49.3029 19.4572i −0.566700 0.223647i
\(88\) 120.452 + 41.5389i 1.36877 + 0.472033i
\(89\) −29.6464 + 51.3491i −0.333106 + 0.576957i −0.983119 0.182966i \(-0.941430\pi\)
0.650013 + 0.759923i \(0.274763\pi\)
\(90\) 18.4334 63.9388i 0.204815 0.710431i
\(91\) 44.0427 25.4281i 0.483986 0.279429i
\(92\) 1.02202 2.09378i 0.0111090 0.0227584i
\(93\) 2.29689 85.6284i 0.0246978 0.920735i
\(94\) −47.0260 153.902i −0.500277 1.63726i
\(95\) 21.4132 58.8324i 0.225403 0.619289i
\(96\) −42.9577 + 85.8524i −0.447476 + 0.894296i
\(97\) 13.3273 75.5830i 0.137395 0.779206i −0.835767 0.549085i \(-0.814976\pi\)
0.973162 0.230122i \(-0.0739124\pi\)
\(98\) −65.8678 27.9715i −0.672120 0.285424i
\(99\) −7.68436 + 143.134i −0.0776198 + 1.44580i
\(100\) −31.4812 32.6204i −0.314812 0.326204i
\(101\) 64.1923 + 53.8638i 0.635568 + 0.533305i 0.902653 0.430368i \(-0.141616\pi\)
−0.267086 + 0.963673i \(0.586061\pi\)
\(102\) 42.6395 + 41.9685i 0.418035 + 0.411456i
\(103\) 165.931 29.2582i 1.61098 0.284060i 0.705586 0.708624i \(-0.250684\pi\)
0.905398 + 0.424564i \(0.139573\pi\)
\(104\) 97.8431 + 54.2961i 0.940799 + 0.522078i
\(105\) −12.7705 38.2479i −0.121623 0.364266i
\(106\) 72.3500 111.371i 0.682547 1.05067i
\(107\) 19.6793i 0.183919i −0.995763 0.0919593i \(-0.970687\pi\)
0.995763 0.0919593i \(-0.0293130\pi\)
\(108\) −106.147 19.9181i −0.982846 0.184427i
\(109\) −98.5660 −0.904275 −0.452137 0.891948i \(-0.649338\pi\)
−0.452137 + 0.891948i \(0.649338\pi\)
\(110\) −98.7485 64.1503i −0.897714 0.583184i
\(111\) −38.1130 + 186.722i −0.343360 + 1.68218i
\(112\) 8.05975 + 57.6128i 0.0719621 + 0.514400i
\(113\) −29.2796 166.053i −0.259112 1.46950i −0.785294 0.619123i \(-0.787488\pi\)
0.526182 0.850372i \(-0.323623\pi\)
\(114\) −98.3569 25.5204i −0.862780 0.223863i
\(115\) −1.38412 + 1.64953i −0.0120358 + 0.0143437i
\(116\) −49.0762 50.8521i −0.423071 0.438381i
\(117\) −28.4746 + 122.623i −0.243373 + 1.04806i
\(118\) 51.9431 122.316i 0.440196 1.03658i
\(119\) 35.7041 + 6.29560i 0.300035 + 0.0529042i
\(120\) 57.6966 67.4020i 0.480805 0.561684i
\(121\) 124.658 + 45.3718i 1.03023 + 0.374973i
\(122\) −13.5585 + 4.14290i −0.111135 + 0.0339582i
\(123\) −90.0937 166.185i −0.732469 1.35109i
\(124\) 50.0998 102.637i 0.404031 0.827721i
\(125\) 67.1593 + 116.323i 0.537274 + 0.930586i
\(126\) −59.8256 + 26.5334i −0.474806 + 0.210582i
\(127\) −174.605 100.808i −1.37484 0.793765i −0.383308 0.923621i \(-0.625215\pi\)
−0.991533 + 0.129856i \(0.958549\pi\)
\(128\) −99.5639 + 80.4427i −0.777843 + 0.628459i
\(129\) 3.23376 + 4.07072i 0.0250679 + 0.0315559i
\(130\) −75.6237 70.5427i −0.581721 0.542636i
\(131\) −143.553 171.080i −1.09582 1.30595i −0.948469 0.316869i \(-0.897369\pi\)
−0.147355 0.989084i \(1.45292\pi\)
\(132\) −88.4110 + 169.441i −0.669780 + 1.28364i
\(133\) −57.8622 + 21.0601i −0.435054 + 0.158347i
\(134\) 44.9789 + 59.7087i 0.335664 + 0.445587i
\(135\) 90.7479 + 41.5660i 0.672207 + 0.307896i
\(136\) 28.5523 + 74.4869i 0.209943 + 0.547698i
\(137\) −186.707 + 67.9558i −1.36282 + 0.496027i −0.916926 0.399056i \(-0.869338\pi\)
−0.445898 + 0.895084i \(0.647116\pi\)
\(138\) 2.87862 + 1.98180i 0.0208596 + 0.0143608i
\(139\) −89.3311 106.461i −0.642670 0.765904i 0.342120 0.939656i \(-0.388855\pi\)
−0.984789 + 0.173753i \(0.944411\pi\)
\(140\) 5.63687 53.4684i 0.0402633 0.381917i
\(141\) 238.761 35.5275i 1.69334 0.251968i
\(142\) 1.55098 29.5050i 0.0109224 0.207782i
\(143\) 192.926 + 111.386i 1.34913 + 0.778922i
\(144\) −117.800 82.8200i −0.818056 0.575139i
\(145\) 32.6574 + 56.5643i 0.225224 + 0.390099i
\(146\) 120.097 + 235.795i 0.822579 + 1.61503i
\(147\) 56.1441 91.4879i 0.381933 0.622366i
\(148\) −149.419 + 205.520i −1.00959 + 1.38865i
\(149\) 1.60561 + 0.584395i 0.0107759 + 0.00392211i 0.347402 0.937716i \(-0.387064\pi\)
−0.336627 + 0.941638i \(0.609286\pi\)
\(150\) 55.3919 39.4441i 0.369279 0.262961i
\(151\) 110.653 + 19.5112i 0.732803 + 0.129213i 0.527584 0.849503i \(-0.323098\pi\)
0.205220 + 0.978716i \(0.434209\pi\)
\(152\) −105.251 85.3135i −0.692442 0.561273i
\(153\) −71.7409 + 53.9174i −0.468895 + 0.352401i
\(154\) 14.0960 + 114.953i 0.0915326 + 0.746450i
\(155\) −67.8499 + 80.8604i −0.437741 + 0.521680i
\(156\) −102.307 + 133.065i −0.655811 + 0.852983i
\(157\) 0.528130 + 2.99517i 0.00336389 + 0.0190775i 0.986443 0.164101i \(-0.0524724\pi\)
−0.983080 + 0.183179i \(0.941361\pi\)
\(158\) −139.295 32.1820i −0.881615 0.203684i
\(159\) 149.117 + 132.097i 0.937841 + 0.830798i
\(160\) 107.254 49.9102i 0.670340 0.311939i
\(161\) 2.11780 0.0131540
\(162\) 53.1568 153.031i 0.328128 0.944633i
\(163\) 39.7924i 0.244125i −0.992522 0.122063i \(-0.961049\pi\)
0.992522 0.122063i \(-0.0389509\pi\)
\(164\) −17.5023 251.438i −0.106721 1.53316i
\(165\) 117.126 132.217i 0.709853 0.801313i
\(166\) 47.0388 + 10.8676i 0.283366 + 0.0654675i
\(167\) 19.4582 3.43101i 0.116516 0.0205449i −0.115086 0.993356i \(-0.536714\pi\)
0.231602 + 0.972811i \(0.425603\pi\)
\(168\) −87.2565 0.858560i −0.519384 0.00511048i
\(169\) 20.4120 + 17.1277i 0.120781 + 0.101347i
\(170\) −8.97331 73.1775i −0.0527842 0.430456i
\(171\) 59.7344 140.228i 0.349324 0.820046i
\(172\) 1.67482 + 6.72641i 0.00973733 + 0.0391070i
\(173\) 23.9690 135.935i 0.138549 0.785752i −0.833773 0.552108i \(-0.813824\pi\)
0.972322 0.233645i \(-0.0750652\pi\)
\(174\) 86.3507 61.4897i 0.496269 0.353389i
\(175\) 14.0936 38.7218i 0.0805348 0.221268i
\(176\) −200.905 + 156.760i −1.14151 + 0.890680i
\(177\) 169.893 + 104.260i 0.959847 + 0.589037i
\(178\) −53.8201 105.669i −0.302360 0.593647i
\(179\) 159.768 92.2423i 0.892560 0.515320i 0.0177813 0.999842i \(-0.494340\pi\)
0.874779 + 0.484522i \(0.161006\pi\)
\(180\) 87.1522 + 100.580i 0.484179 + 0.558778i
\(181\) −46.0525 + 79.7652i −0.254434 + 0.440692i −0.964742 0.263199i \(-0.915222\pi\)
0.710308 + 0.703891i \(0.248556\pi\)
\(182\) −5.33929 + 101.572i −0.0293367 + 0.558088i
\(183\) −3.12990 21.0344i −0.0171033 0.114942i
\(184\) 2.39808 + 3.99537i 0.0130330 + 0.0217139i
\(185\) 179.896 150.950i 0.972409 0.815948i
\(186\) 141.111 + 97.1481i 0.758659 + 0.522302i
\(187\) 54.3169 + 149.235i 0.290465 + 0.798046i
\(188\) 309.357 + 88.8127i 1.64552 + 0.472408i
\(189\) −26.0534 94.6480i −0.137848 0.500783i
\(190\) 75.3412 + 100.014i 0.396533 + 0.526390i
\(191\) −20.4959 56.3120i −0.107308 0.294827i 0.874404 0.485199i \(-0.161253\pi\)
−0.981712 + 0.190372i \(0.939031\pi\)
\(192\) −97.1846 165.587i −0.506170 0.862434i
\(193\) −215.518 + 180.841i −1.11667 + 0.937000i −0.998432 0.0559849i \(-0.982170\pi\)
−0.118241 + 0.992985i \(0.537726\pi\)
\(194\) 112.245 + 104.703i 0.578581 + 0.539707i
\(195\) 121.465 96.4911i 0.622897 0.494826i
\(196\) 118.679 79.9952i 0.605504 0.408139i
\(197\) 15.1511 26.2425i 0.0769093 0.133211i −0.825006 0.565124i \(-0.808828\pi\)
0.901915 + 0.431914i \(0.142161\pi\)
\(198\) −231.687 168.838i −1.17014 0.852719i
\(199\) −205.095 + 118.412i −1.03063 + 0.595033i −0.917164 0.398510i \(-0.869528\pi\)
−0.113463 + 0.993542i \(0.536194\pi\)
\(200\) 89.0100 17.2579i 0.445050 0.0862896i
\(201\) −98.5774 + 53.4418i −0.490435 + 0.265880i
\(202\) −160.279 + 48.9745i −0.793460 + 0.242448i
\(203\) 21.9706 60.3637i 0.108230 0.297358i
\(204\) −116.846 + 25.7872i −0.572774 + 0.126408i
\(205\) −40.4502 + 229.404i −0.197318 + 1.11905i
\(206\) −131.719 + 310.173i −0.639410 + 1.50569i
\(207\) −3.58011 + 3.82939i −0.0172952 + 0.0184995i
\(208\) −197.668 + 104.941i −0.950327 + 0.504526i
\(209\) −206.624 173.378i −0.988629 0.829559i
\(210\) 78.0621 + 20.2545i 0.371724 + 0.0964502i
\(211\) 88.9172 15.6785i 0.421408 0.0743057i 0.0410771 0.999156i \(-0.486921\pi\)
0.380331 + 0.924850i \(0.375810\pi\)
\(212\) 107.959 + 242.686i 0.509240 + 1.14475i
\(213\) 43.4233 + 8.86341i 0.203865 + 0.0416122i
\(214\) 33.0055 + 21.4415i 0.154231 + 0.100194i
\(215\) 6.40641i 0.0297972i
\(216\) 149.058 156.325i 0.690085 0.723729i
\(217\) 103.815 0.478410
\(218\) 107.392 165.312i 0.492623 0.758311i
\(219\) −376.495 + 125.707i −1.71915 + 0.574002i
\(220\) 215.182 95.7234i 0.978098 0.435106i
\(221\) 24.2195 + 137.355i 0.109590 + 0.621518i
\(222\) −271.638 267.363i −1.22359 1.20434i
\(223\) −217.859 + 259.634i −0.976944 + 1.16428i 0.00946232 + 0.999955i \(0.496988\pi\)
−0.986407 + 0.164322i \(0.947456\pi\)
\(224\) −105.408 49.2541i −0.470571 0.219884i
\(225\) 46.1916 + 90.9426i 0.205296 + 0.404189i
\(226\) 310.400 + 131.815i 1.37345 + 0.583253i
\(227\) 234.651 + 41.3753i 1.03371 + 0.182270i 0.664664 0.747143i \(-0.268575\pi\)
0.369042 + 0.929413i \(0.379686\pi\)
\(228\) 149.966 137.156i 0.657746 0.601559i
\(229\) 153.568 + 55.8943i 0.670604 + 0.244080i 0.654808 0.755795i \(-0.272750\pi\)
0.0157961 + 0.999875i \(0.494972\pi\)
\(230\) −1.25848 4.11864i −0.00547166 0.0179071i
\(231\) −173.659 4.65822i −0.751770 0.0201655i
\(232\) 138.758 26.9035i 0.598096 0.115963i
\(233\) −72.9459 126.346i −0.313072 0.542257i 0.665953 0.745993i \(-0.268025\pi\)
−0.979026 + 0.203736i \(0.934692\pi\)
\(234\) −174.636 181.360i −0.746307 0.775044i
\(235\) −257.607 148.730i −1.09620 0.632892i
\(236\) 148.551 + 220.386i 0.629454 + 0.933841i
\(237\) 78.7221 199.475i 0.332161 0.841666i
\(238\) −49.4600 + 53.0225i −0.207815 + 0.222784i
\(239\) 93.1529 + 111.015i 0.389761 + 0.464499i 0.924870 0.380284i \(-0.124174\pi\)
−0.535109 + 0.844783i \(0.679729\pi\)
\(240\) 50.1816 + 170.204i 0.209090 + 0.709185i
\(241\) −77.0503 + 28.0440i −0.319711 + 0.116365i −0.496890 0.867813i \(-0.665525\pi\)
0.177180 + 0.984179i \(0.443303\pi\)
\(242\) −211.916 + 159.638i −0.875687 + 0.659660i
\(243\) 215.185 + 112.892i 0.885534 + 0.464574i
\(244\) 7.82422 27.2537i 0.0320665 0.111696i
\(245\) −124.297 + 45.2405i −0.507336 + 0.184655i
\(246\) 376.881 + 29.9630i 1.53203 + 0.121801i
\(247\) −152.267 181.464i −0.616464 0.734673i
\(248\) 117.554 + 195.854i 0.474009 + 0.789733i
\(249\) −26.5838 + 67.3610i −0.106762 + 0.270526i
\(250\) −268.267 14.1019i −1.07307 0.0564074i
\(251\) −41.5537 23.9911i −0.165553 0.0955819i 0.414934 0.909851i \(-0.363805\pi\)
−0.580487 + 0.814269i \(0.697138\pi\)
\(252\) 20.6817 129.247i 0.0820700 0.512884i
\(253\) 4.63844 + 8.03401i 0.0183337 + 0.0317550i
\(254\) 359.312 183.007i 1.41461 0.720499i
\(255\) 110.549 + 2.96535i 0.433524 + 0.0116288i
\(256\) −26.4368 254.631i −0.103269 0.994653i
\(257\) −278.499 101.365i −1.08365 0.394417i −0.262387 0.964963i \(-0.584510\pi\)
−0.821266 + 0.570546i \(0.806732\pi\)
\(258\) −10.3506 + 0.988335i −0.0401186 + 0.00383076i
\(259\) −227.456 40.1065i −0.878207 0.154852i
\(260\) 200.707 49.9745i 0.771951 0.192209i
\(261\) 72.0084 + 141.771i 0.275894 + 0.543184i
\(262\) 443.337 54.3637i 1.69213 0.207495i
\(263\) −332.363 + 396.095i −1.26374 + 1.50606i −0.491270 + 0.871007i \(0.663467\pi\)
−0.772466 + 0.635056i \(0.780977\pi\)
\(264\) −187.854 332.894i −0.711566 1.26096i
\(265\) −42.6279 241.755i −0.160860 0.912282i
\(266\) 27.7220 119.991i 0.104218 0.451092i
\(267\) 168.722 56.3341i 0.631919 0.210989i
\(268\) −149.148 + 10.3820i −0.556523 + 0.0387388i
\(269\) 128.175 0.476485 0.238243 0.971206i \(-0.423429\pi\)
0.238243 + 0.971206i \(0.423429\pi\)
\(270\) −168.587 + 106.912i −0.624396 + 0.395969i
\(271\) 105.053i 0.387649i 0.981036 + 0.193824i \(0.0620892\pi\)
−0.981036 + 0.193824i \(0.937911\pi\)
\(272\) −156.036 33.2698i −0.573662 0.122315i
\(273\) −149.486 30.5126i −0.547568 0.111768i
\(274\) 89.4520 387.180i 0.326467 1.41306i
\(275\) 177.762 31.3442i 0.646406 0.113979i
\(276\) −6.46019 + 2.66868i −0.0234065 + 0.00966912i
\(277\) −317.904 266.753i −1.14767 0.963007i −0.148005 0.988987i \(-0.547285\pi\)
−0.999662 + 0.0259792i \(0.991730\pi\)
\(278\) 275.883 33.8298i 0.992383 0.121690i
\(279\) −175.498 + 187.718i −0.629024 + 0.672824i
\(280\) 83.5339 + 67.7101i 0.298335 + 0.241822i
\(281\) 69.9019 396.433i 0.248761 1.41079i −0.562832 0.826571i \(-0.690288\pi\)
0.811593 0.584223i \(-0.198601\pi\)
\(282\) −200.555 + 439.151i −0.711188 + 1.55727i
\(283\) −88.9908 + 244.500i −0.314455 + 0.863958i 0.677288 + 0.735718i \(0.263155\pi\)
−0.991743 + 0.128240i \(0.959067\pi\)
\(284\) 47.7951 + 34.7483i 0.168292 + 0.122353i
\(285\) −165.120 + 89.5168i −0.579370 + 0.314094i
\(286\) −397.014 + 202.210i −1.38816 + 0.707026i
\(287\) 198.408 114.551i 0.691317 0.399132i
\(288\) 267.251 107.335i 0.927956 0.372690i
\(289\) 94.7849 164.172i 0.327976 0.568070i
\(290\) −130.450 6.85728i −0.449826 0.0236458i
\(291\) −180.285 + 143.217i −0.619534 + 0.492155i
\(292\) −526.318 55.4868i −1.80246 0.190023i
\(293\) −150.425 + 126.221i −0.513394 + 0.430789i −0.862322 0.506361i \(-0.830990\pi\)
0.348927 + 0.937150i \(0.386546\pi\)
\(294\) 92.2691 + 193.843i 0.313841 + 0.659330i
\(295\) −84.0116 230.820i −0.284785 0.782440i
\(296\) −181.894 474.524i −0.614507 1.60312i
\(297\) 301.991 306.135i 1.01680 1.03076i
\(298\) −2.72951 + 2.05616i −0.00915943 + 0.00689986i
\(299\) 2.78653 + 7.65594i 0.00931951 + 0.0256051i
\(300\) 5.80265 + 135.878i 0.0193422 + 0.452925i
\(301\) −4.82666 + 4.05005i −0.0160354 + 0.0134553i
\(302\) −153.285 + 164.326i −0.507567 + 0.544126i
\(303\) −36.9995 248.654i −0.122110 0.820639i
\(304\) 257.761 83.5712i 0.847898 0.274905i
\(305\) −13.1028 + 22.6947i −0.0429599 + 0.0744088i
\(306\) −12.2637 179.067i −0.0400773 0.585186i
\(307\) 170.588 98.4890i 0.555661 0.320811i −0.195741 0.980656i \(-0.562711\pi\)
0.751402 + 0.659845i \(0.229378\pi\)
\(308\) −208.154 101.605i −0.675825 0.329887i
\(309\) −430.818 264.384i −1.39423 0.855611i
\(310\) −61.6911 201.897i −0.199003 0.651280i
\(311\) 9.51663 26.1467i 0.0306001 0.0840731i −0.923452 0.383714i \(-0.874645\pi\)
0.954052 + 0.299641i \(0.0968670\pi\)
\(312\) −111.706 316.566i −0.358031 1.01463i
\(313\) −56.7402 + 321.790i −0.181279 + 1.02808i 0.749365 + 0.662157i \(0.230359\pi\)
−0.930644 + 0.365926i \(0.880752\pi\)
\(314\) −5.59883 2.37761i −0.0178307 0.00757201i
\(315\) −47.4089 + 111.294i −0.150505 + 0.353313i
\(316\) 205.743 198.558i 0.651085 0.628347i
\(317\) −75.2721 63.1608i −0.237452 0.199245i 0.516295 0.856411i \(-0.327311\pi\)
−0.753746 + 0.657165i \(0.771755\pi\)
\(318\) −384.018 + 106.168i −1.20760 + 0.333863i
\(319\) 277.114 48.8627i 0.868696 0.153174i
\(320\) −33.1505 + 234.263i −0.103595 + 0.732072i
\(321\) −39.1479 + 44.1918i −0.121956 + 0.137669i
\(322\) −2.30744 + 3.55191i −0.00716595 + 0.0110308i
\(323\) 168.873i 0.522827i
\(324\) 198.741 + 255.886i 0.613400 + 0.789773i
\(325\) 158.525 0.487769
\(326\) 66.7386 + 43.3556i 0.204720 + 0.132993i
\(327\) 221.340 + 196.077i 0.676880 + 0.599622i
\(328\) 440.774 + 244.598i 1.34382 + 0.745727i
\(329\) 50.8014 + 288.109i 0.154412 + 0.875712i
\(330\) 94.1360 + 340.495i 0.285260 + 1.03180i
\(331\) 227.814 271.498i 0.688259 0.820235i −0.302885 0.953027i \(-0.597950\pi\)
0.991144 + 0.132792i \(0.0423941\pi\)
\(332\) −69.4776 + 67.0513i −0.209270 + 0.201962i
\(333\) 457.031 343.484i 1.37246 1.03148i
\(334\) −15.4462 + 36.3729i −0.0462461 + 0.108901i
\(335\) 136.078 + 23.9942i 0.406203 + 0.0716246i
\(336\) 96.5097 145.408i 0.287231 0.432763i
\(337\) 554.135 + 201.688i 1.64432 + 0.598482i 0.987786 0.155817i \(-0.0498012\pi\)
0.656530 + 0.754300i \(0.272023\pi\)
\(338\) −50.9659 + 15.5730i −0.150787 + 0.0460740i
\(339\) −264.578 + 431.134i −0.780465 + 1.27178i
\(340\) 132.508 + 64.6803i 0.389729 + 0.190236i
\(341\) 227.377 + 393.829i 0.666795 + 1.15492i
\(342\) 170.103 + 252.969i 0.497376 + 0.739676i
\(343\) 266.953 + 154.125i 0.778288 + 0.449345i
\(344\) −13.1061 4.51976i −0.0380992 0.0131388i
\(345\) 6.38958 0.950765i 0.0185205 0.00275584i
\(346\) 201.871 + 188.307i 0.583442 + 0.544241i
\(347\) −173.802 207.129i −0.500871 0.596915i 0.455077 0.890452i \(-0.349612\pi\)
−0.955947 + 0.293538i \(0.905167\pi\)
\(348\) 9.04578 + 211.821i 0.0259936 + 0.608680i
\(349\) −484.371 + 176.297i −1.38788 + 0.505148i −0.924558 0.381041i \(-0.875566\pi\)
−0.463324 + 0.886189i \(0.653343\pi\)
\(350\) 49.5875 + 65.8265i 0.141678 + 0.188076i
\(351\) 307.877 218.719i 0.877141 0.623131i
\(352\) −44.0173 507.748i −0.125049 1.44247i
\(353\) 203.053 73.9054i 0.575222 0.209364i −0.0379952 0.999278i \(-0.512097\pi\)
0.613217 + 0.789914i \(0.289875\pi\)
\(354\) −359.967 + 171.344i −1.01685 + 0.484022i
\(355\) −35.1045 41.8359i −0.0988858 0.117847i
\(356\) 235.864 + 24.8658i 0.662540 + 0.0698479i
\(357\) −67.6533 85.1633i −0.189505 0.238553i
\(358\) −19.3687 + 368.460i −0.0541025 + 1.02922i
\(359\) −220.356 127.223i −0.613806 0.354381i 0.160648 0.987012i \(-0.448642\pi\)
−0.774453 + 0.632631i \(0.781975\pi\)
\(360\) −263.646 + 36.5826i −0.732349 + 0.101618i
\(361\) −37.0922 64.2455i −0.102748 0.177965i
\(362\) −83.6036 164.146i −0.230949 0.453441i
\(363\) −189.674 349.868i −0.522518 0.963823i
\(364\) −164.536 119.622i −0.452022 0.328632i
\(365\) 459.625 + 167.290i 1.25925 + 0.458328i
\(366\) 38.6884 + 17.6685i 0.105706 + 0.0482746i
\(367\) 558.823 + 98.5356i 1.52268 + 0.268489i 0.871485 0.490422i \(-0.163157\pi\)
0.651194 + 0.758911i \(0.274268\pi\)
\(368\) −9.31371 0.331147i −0.0253090 0.000899856i
\(369\) −128.275 + 552.407i −0.347630 + 1.49704i
\(370\) 57.1651 + 466.182i 0.154500 + 1.25995i
\(371\) −155.192 + 184.951i −0.418307 + 0.498519i
\(372\) −316.680 + 130.819i −0.851290 + 0.351665i
\(373\) −63.4862 360.048i −0.170204 0.965277i −0.943535 0.331274i \(-0.892522\pi\)
0.773330 0.634003i \(-0.218589\pi\)
\(374\) −309.472 71.4989i −0.827466 0.191173i
\(375\) 80.5882 394.815i 0.214902 1.05284i
\(376\) −486.012 + 422.079i −1.29258 + 1.12255i
\(377\) 247.126 0.655506
\(378\) 187.127 + 59.4273i 0.495045 + 0.157215i
\(379\) 310.348i 0.818860i −0.912342 0.409430i \(-0.865728\pi\)
0.912342 0.409430i \(-0.134272\pi\)
\(380\) −249.828 + 17.3902i −0.657442 + 0.0457637i
\(381\) 191.556 + 573.715i 0.502770 + 1.50581i
\(382\) 116.776 + 26.9793i 0.305696 + 0.0706265i
\(383\) −223.698 + 39.4441i −0.584069 + 0.102987i −0.457872 0.889018i \(-0.651388\pi\)
−0.126197 + 0.992005i \(0.540277\pi\)
\(384\) 383.605 + 17.4195i 0.998971 + 0.0453634i
\(385\) 163.989 + 137.603i 0.425946 + 0.357411i
\(386\) −68.4847 558.494i −0.177422 1.44688i
\(387\) 0.836120 15.5741i 0.00216052 0.0402431i
\(388\) −297.900 + 74.1747i −0.767784 + 0.191172i
\(389\) −54.4461 + 308.779i −0.139964 + 0.793778i 0.831309 + 0.555811i \(0.187592\pi\)
−0.971273 + 0.237967i \(0.923519\pi\)
\(390\) 29.4906 + 308.848i 0.0756170 + 0.791919i
\(391\) −1.98650 + 5.45785i −0.00508055 + 0.0139587i
\(392\) 4.85972 + 286.203i 0.0123973 + 0.730109i
\(393\) −17.9652 + 669.745i −0.0457131 + 1.70419i
\(394\) 27.5053 + 54.0034i 0.0698105 + 0.137064i
\(395\) −228.854 + 132.129i −0.579376 + 0.334503i
\(396\) 535.603 204.621i 1.35253 0.516720i
\(397\) −70.7625 + 122.564i −0.178243 + 0.308726i −0.941279 0.337630i \(-0.890375\pi\)
0.763036 + 0.646356i \(0.223708\pi\)
\(398\) 24.8636 472.993i 0.0624713 1.18842i
\(399\) 171.830 + 67.8123i 0.430652 + 0.169956i
\(400\) −68.0358 + 168.088i −0.170090 + 0.420220i
\(401\) −289.868 + 243.229i −0.722864 + 0.606555i −0.928176 0.372142i \(-0.878624\pi\)
0.205312 + 0.978697i \(0.434179\pi\)
\(402\) 17.7735 223.558i 0.0442126 0.556115i
\(403\) 136.597 + 375.296i 0.338949 + 0.931255i
\(404\) 92.4925 322.175i 0.228942 0.797462i
\(405\) −121.096 273.865i −0.299004 0.676209i
\(406\) 77.3022 + 102.617i 0.190400 + 0.252752i
\(407\) −346.030 950.709i −0.850196 2.33589i
\(408\) 84.0593 224.067i 0.206028 0.549183i
\(409\) 250.395 210.106i 0.612212 0.513707i −0.283133 0.959081i \(-0.591374\pi\)
0.895345 + 0.445374i \(0.146929\pi\)
\(410\) −340.677 317.788i −0.830921 0.775092i
\(411\) 554.453 + 218.813i 1.34903 + 0.532392i
\(412\) −376.699 558.861i −0.914318 1.35646i
\(413\) −120.791 + 209.217i −0.292473 + 0.506578i
\(414\) −2.52186 10.1767i −0.00609144 0.0245815i
\(415\) 77.2820 44.6188i 0.186222 0.107515i
\(416\) 39.3634 445.861i 0.0946236 1.07178i
\(417\) −11.1795 + 416.774i −0.0268094 + 0.999457i
\(418\) 515.909 157.640i 1.23423 0.377129i
\(419\) −87.2276 + 239.656i −0.208180 + 0.571971i −0.999207 0.0398104i \(-0.987325\pi\)
0.791027 + 0.611782i \(0.209547\pi\)
\(420\) −119.022 + 108.855i −0.283387 + 0.259179i
\(421\) 106.511 604.054i 0.252995 1.43481i −0.548172 0.836366i \(-0.684676\pi\)
0.801167 0.598441i \(-0.204213\pi\)
\(422\) −70.5837 + 166.211i −0.167260 + 0.393866i
\(423\) −606.836 395.185i −1.43460 0.934244i
\(424\) −524.652 83.3521i −1.23739 0.196585i
\(425\) 86.5716 + 72.6422i 0.203698 + 0.170923i
\(426\) −62.1770 + 63.1711i −0.145955 + 0.148289i
\(427\) 25.3818 4.47550i 0.0594422 0.0104813i
\(428\) −71.9219 + 31.9944i −0.168042 + 0.0747533i
\(429\) −211.655 633.914i −0.493369 1.47765i
\(430\) 10.7446 + 6.98006i 0.0249875 + 0.0162327i
\(431\) 309.004i 0.716947i 0.933540 + 0.358473i \(0.116703\pi\)
−0.933540 + 0.358473i \(0.883297\pi\)
\(432\) 99.7786 + 420.319i 0.230969 + 0.972961i
\(433\) 271.919 0.627989 0.313994 0.949425i \(-0.398333\pi\)
0.313994 + 0.949425i \(0.398333\pi\)
\(434\) −113.111 + 174.115i −0.260624 + 0.401187i
\(435\) 39.1875 191.986i 0.0900861 0.441347i
\(436\) 160.248 + 360.229i 0.367540 + 0.826213i
\(437\) −1.71297 9.71471i −0.00391983 0.0222305i
\(438\) 199.376 768.408i 0.455197 1.75436i
\(439\) −100.848 + 120.186i −0.229723 + 0.273773i −0.868576 0.495555i \(-0.834965\pi\)
0.638853 + 0.769328i \(0.279409\pi\)
\(440\) −73.9055 + 465.191i −0.167967 + 1.05725i
\(441\) −308.073 + 93.7580i −0.698579 + 0.212603i
\(442\) −256.756 109.035i −0.580897 0.246685i
\(443\) 254.933 + 44.9516i 0.575470 + 0.101471i 0.453806 0.891100i \(-0.350066\pi\)
0.121664 + 0.992571i \(0.461177\pi\)
\(444\) 744.375 164.279i 1.67652 0.369998i
\(445\) −205.976 74.9693i −0.462869 0.168470i
\(446\) −198.083 648.268i −0.444133 1.45352i
\(447\) −2.44303 4.50635i −0.00546538 0.0100813i
\(448\) 197.454 123.122i 0.440745 0.274826i
\(449\) −403.822 699.440i −0.899381 1.55777i −0.828287 0.560303i \(-0.810685\pi\)
−0.0710933 0.997470i \(-0.522649\pi\)
\(450\) −202.854 21.6149i −0.450786 0.0480330i
\(451\) 869.112 + 501.782i 1.92708 + 1.11260i
\(452\) −559.271 + 376.975i −1.23732 + 0.834016i
\(453\) −209.670 263.936i −0.462847 0.582640i
\(454\) −325.056 + 348.469i −0.715983 + 0.767554i
\(455\) 120.848 + 144.021i 0.265600 + 0.316530i
\(456\) 66.6384 + 400.955i 0.146137 + 0.879288i
\(457\) 514.385 187.221i 1.12557 0.409673i 0.288887 0.957363i \(-0.406715\pi\)
0.836681 + 0.547690i \(0.184493\pi\)
\(458\) −261.064 + 196.661i −0.570008 + 0.429390i
\(459\) 268.359 + 21.6369i 0.584660 + 0.0471392i
\(460\) 8.27882 + 2.37675i 0.0179974 + 0.00516685i
\(461\) 144.983 52.7695i 0.314497 0.114468i −0.179949 0.983676i \(-0.557593\pi\)
0.494446 + 0.869208i \(0.335371\pi\)
\(462\) 197.022 286.180i 0.426454 0.619437i
\(463\) −40.7312 48.5415i −0.0879723 0.104841i 0.720263 0.693702i \(-0.244021\pi\)
−0.808235 + 0.588860i \(0.799577\pi\)
\(464\) −106.062 + 262.034i −0.228581 + 0.564728i
\(465\) 313.219 46.6067i 0.673589 0.100229i
\(466\) 291.381 + 15.3169i 0.625282 + 0.0328689i
\(467\) −162.795 93.9898i −0.348598 0.201263i 0.315470 0.948936i \(-0.397838\pi\)
−0.664067 + 0.747673i \(0.731171\pi\)
\(468\) 494.445 95.2939i 1.05651 0.203619i
\(469\) −67.9493 117.692i −0.144881 0.250942i
\(470\) 530.119 270.003i 1.12791 0.574475i
\(471\) 4.77231 7.77657i 0.0101323 0.0165108i
\(472\) −531.478 + 9.02450i −1.12601 + 0.0191197i
\(473\) −25.9355 9.43977i −0.0548320 0.0199572i
\(474\) 248.782 + 349.367i 0.524856 + 0.737061i
\(475\) −189.023 33.3299i −0.397944 0.0701682i
\(476\) −35.0389 140.723i −0.0736111 0.295637i
\(477\) −72.0770 593.273i −0.151105 1.24376i
\(478\) −287.685 + 35.2771i −0.601852 + 0.0738015i
\(479\) 198.830 236.957i 0.415094 0.494690i −0.517466 0.855704i \(-0.673125\pi\)
0.932561 + 0.361013i \(0.117569\pi\)
\(480\) −340.137 101.282i −0.708618 0.211004i
\(481\) −154.292 875.033i −0.320773 1.81919i
\(482\) 36.9151 159.781i 0.0765873 0.331497i
\(483\) −4.75573 4.21292i −0.00984623 0.00872241i
\(484\) −36.8475 529.352i −0.0761311 1.09370i
\(485\) 283.728 0.585006
\(486\) −423.791 + 237.901i −0.871999 + 0.489508i
\(487\) 396.572i 0.814316i −0.913358 0.407158i \(-0.866520\pi\)
0.913358 0.407158i \(-0.133480\pi\)
\(488\) 37.1843 + 42.8167i 0.0761973 + 0.0877391i
\(489\) −79.1588 + 89.3579i −0.161879 + 0.182736i
\(490\) 59.5513 257.759i 0.121533 0.526039i
\(491\) −391.258 + 68.9894i −0.796860 + 0.140508i −0.557232 0.830357i \(-0.688137\pi\)
−0.239628 + 0.970865i \(0.577025\pi\)
\(492\) −460.881 + 599.446i −0.936749 + 1.21839i
\(493\) 134.957 + 113.242i 0.273746 + 0.229701i
\(494\) 470.247 57.6635i 0.951917 0.116728i
\(495\) −526.035 + 63.9082i −1.06270 + 0.129107i
\(496\) −456.560 16.2329i −0.920485 0.0327276i
\(497\) −9.32703 + 52.8962i −0.0187667 + 0.106431i
\(498\) −84.0115 117.978i −0.168698 0.236904i
\(499\) −254.967 + 700.517i −0.510956 + 1.40384i 0.369285 + 0.929316i \(0.379603\pi\)
−0.880242 + 0.474525i \(0.842620\pi\)
\(500\) 315.940 434.564i 0.631879 0.869128i
\(501\) −50.5206 31.0034i −0.100840 0.0618830i
\(502\) 85.5117 43.5533i 0.170342 0.0867596i
\(503\) −36.9239 + 21.3180i −0.0734073 + 0.0423817i −0.536254 0.844056i \(-0.680161\pi\)
0.462847 + 0.886438i \(0.346828\pi\)
\(504\) 194.235 + 175.507i 0.385387 + 0.348228i
\(505\) −154.892 + 268.281i −0.306717 + 0.531249i
\(506\) −18.5282 0.973961i −0.0366169 0.00192482i
\(507\) −11.7652 79.0675i −0.0232055 0.155952i
\(508\) −84.5525 + 802.020i −0.166442 + 1.57878i
\(509\) −149.916 + 125.794i −0.294530 + 0.247140i −0.778063 0.628186i \(-0.783798\pi\)
0.483533 + 0.875326i \(0.339353\pi\)
\(510\) −125.421 + 182.178i −0.245923 + 0.357211i
\(511\) −164.531 452.046i −0.321979 0.884629i
\(512\) 455.864 + 233.093i 0.890359 + 0.455260i
\(513\) −413.094 + 196.067i −0.805251 + 0.382196i
\(514\) 473.443 356.647i 0.921095 0.693867i
\(515\) 213.038 + 585.318i 0.413667 + 1.13654i
\(516\) 9.61982 18.4365i 0.0186431 0.0357297i
\(517\) −981.694 + 823.739i −1.89883 + 1.59331i
\(518\) 315.088 337.783i 0.608278 0.652092i
\(519\) −324.240 + 257.574i −0.624739 + 0.496290i
\(520\) −134.864 + 391.069i −0.259353 + 0.752057i
\(521\) 1.15666 2.00340i 0.00222008 0.00384530i −0.864913 0.501921i \(-0.832627\pi\)
0.867133 + 0.498076i \(0.165960\pi\)
\(522\) −316.230 33.6955i −0.605805 0.0645508i
\(523\) −358.549 + 207.008i −0.685562 + 0.395810i −0.801947 0.597395i \(-0.796203\pi\)
0.116385 + 0.993204i \(0.462869\pi\)
\(524\) −391.858 + 802.782i −0.747820 + 1.53203i
\(525\) −108.678 + 58.9174i −0.207005 + 0.112224i
\(526\) −302.194 988.991i −0.574513 1.88021i
\(527\) −97.3785 + 267.545i −0.184779 + 0.507676i
\(528\) 762.993 + 47.6400i 1.44506 + 0.0902273i
\(529\) 91.8010 520.629i 0.173537 0.984176i
\(530\) 451.908 + 191.908i 0.852657 + 0.362091i
\(531\) −174.109 572.092i −0.327888 1.07739i
\(532\) 171.040 + 177.229i 0.321504 + 0.333138i
\(533\) 675.165 + 566.531i 1.26673 + 1.06291i
\(534\) −89.3486 + 344.355i −0.167319 + 0.644859i
\(535\) 71.6457 12.6331i 0.133917 0.0236132i
\(536\) 145.091 261.458i 0.270692 0.487795i
\(537\) −542.273 110.687i −1.00982 0.206120i
\(538\) −139.652 + 214.970i −0.259576 + 0.399573i
\(539\) 569.863i 1.05726i
\(540\) 4.37421 399.234i 0.00810040 0.739321i
\(541\) −148.013 −0.273591 −0.136796 0.990599i \(-0.543680\pi\)
−0.136796 + 0.990599i \(0.543680\pi\)
\(542\) −176.191 114.460i −0.325076 0.211180i
\(543\) 262.092 87.5089i 0.482674 0.161158i
\(544\) 225.807 225.450i 0.415086 0.414430i
\(545\) −63.2742 358.846i −0.116099 0.658433i
\(546\) 214.046 217.469i 0.392026 0.398294i
\(547\) 110.386 131.554i 0.201803 0.240500i −0.655646 0.755069i \(-0.727603\pi\)
0.857449 + 0.514569i \(0.172048\pi\)
\(548\) 551.904 + 571.875i 1.00712 + 1.04357i
\(549\) −34.8150 + 53.4611i −0.0634154 + 0.0973790i
\(550\) −141.110 + 332.287i −0.256563 + 0.604159i
\(551\) −294.670 51.9582i −0.534791 0.0942980i
\(552\) 2.56283 13.7425i 0.00464281 0.0248958i
\(553\) 244.226 + 88.8909i 0.441638 + 0.160743i
\(554\) 793.760 242.539i 1.43278 0.437797i
\(555\) −704.258 18.8910i −1.26893 0.0340378i
\(556\) −243.848 + 499.561i −0.438575 + 0.898490i
\(557\) 157.849 + 273.403i 0.283392 + 0.490849i 0.972218 0.234078i \(-0.0752071\pi\)
−0.688826 + 0.724926i \(0.741874\pi\)
\(558\) −123.622 498.866i −0.221545 0.894025i
\(559\) −20.9919 12.1197i −0.0375525 0.0216810i
\(560\) −204.575 + 66.3273i −0.365313 + 0.118442i
\(561\) 174.897 443.173i 0.311759 0.789970i
\(562\) 588.724 + 549.169i 1.04755 + 0.977168i
\(563\) 699.739 + 833.916i 1.24288 + 1.48120i 0.817231 + 0.576311i \(0.195508\pi\)
0.425645 + 0.904890i \(0.360047\pi\)
\(564\) −518.017 814.839i −0.918471 1.44475i
\(565\) 585.747 213.195i 1.03672 0.377336i
\(566\) −313.109 415.646i −0.553195 0.734357i
\(567\) −129.777 + 264.369i −0.228884 + 0.466260i
\(568\) −110.354 + 42.3006i −0.194284 + 0.0744729i
\(569\) −70.1886 + 25.5466i −0.123354 + 0.0448973i −0.402960 0.915218i \(-0.632019\pi\)
0.279605 + 0.960115i \(0.409796\pi\)
\(570\) 29.7711 374.467i 0.0522300 0.656960i
\(571\) −270.128 321.926i −0.473078 0.563793i 0.475752 0.879579i \(-0.342176\pi\)
−0.948830 + 0.315787i \(0.897732\pi\)
\(572\) 93.4245 886.176i 0.163330 1.54926i
\(573\) −65.9955 + 167.227i −0.115175 + 0.291844i
\(574\) −24.0530 + 457.572i −0.0419041 + 0.797163i
\(575\) 5.71702 + 3.30073i 0.00994265 + 0.00574039i
\(576\) −111.164 + 565.171i −0.192993 + 0.981200i
\(577\) 369.741 + 640.409i 0.640798 + 1.10990i 0.985255 + 0.171093i \(0.0547298\pi\)
−0.344457 + 0.938802i \(0.611937\pi\)
\(578\) 172.072 + 337.843i 0.297703 + 0.584504i
\(579\) 843.712 + 22.6317i 1.45719 + 0.0390876i
\(580\) 153.631 211.315i 0.264882 0.364336i
\(581\) −82.4730 30.0177i −0.141950 0.0516656i
\(582\) −43.7715 458.409i −0.0752088 0.787644i
\(583\) −1041.53 183.649i −1.78649 0.315007i
\(584\) 666.507 822.269i 1.14128 1.40800i
\(585\) −464.710 24.9487i −0.794377 0.0426474i
\(586\) −47.8001 389.811i −0.0815702 0.665206i
\(587\) 480.055 572.107i 0.817810 0.974628i −0.182152 0.983270i \(-0.558306\pi\)
0.999963 + 0.00864185i \(0.00275082\pi\)
\(588\) −425.639 56.4497i −0.723876 0.0960028i
\(589\) −83.9700 476.218i −0.142564 0.808519i
\(590\) 478.658 + 110.587i 0.811285 + 0.187435i
\(591\) −86.2274 + 28.7902i −0.145901 + 0.0487143i
\(592\) 994.038 + 211.947i 1.67912 + 0.358019i
\(593\) −534.250 −0.900927 −0.450463 0.892795i \(-0.648741\pi\)
−0.450463 + 0.892795i \(0.648741\pi\)
\(594\) 184.407 + 840.036i 0.310450 + 1.41420i
\(595\) 134.028i 0.225257i
\(596\) −0.474600 6.81812i −0.000796310 0.0114398i
\(597\) 696.116 + 142.089i 1.16602 + 0.238004i
\(598\) −15.8764 3.66799i −0.0265491 0.00613377i
\(599\) 709.697 125.139i 1.18480 0.208913i 0.453684 0.891163i \(-0.350110\pi\)
0.731119 + 0.682250i \(0.238999\pi\)
\(600\) −234.212 138.313i −0.390353 0.230521i
\(601\) 191.524 + 160.708i 0.318676 + 0.267401i 0.788067 0.615590i \(-0.211082\pi\)
−0.469391 + 0.882990i \(0.655527\pi\)
\(602\) −1.53376 12.5078i −0.00254777 0.0207771i
\(603\) 327.677 + 76.0904i 0.543411 + 0.126186i
\(604\) −108.592 436.125i −0.179787 0.722062i
\(605\) −85.1596 + 482.964i −0.140760 + 0.798288i
\(606\) 457.347 + 208.865i 0.754698 + 0.344661i
\(607\) −131.884 + 362.349i −0.217272 + 0.596951i −0.999666 0.0258331i \(-0.991776\pi\)
0.782394 + 0.622784i \(0.213998\pi\)
\(608\) −140.679 + 523.363i −0.231380 + 0.860794i
\(609\) −169.418 + 91.8468i −0.278191 + 0.150816i
\(610\) −23.7867 46.7024i −0.0389947 0.0765613i
\(611\) −974.684 + 562.734i −1.59523 + 0.921005i
\(612\) 313.687 + 174.533i 0.512561 + 0.285185i
\(613\) −214.313 + 371.200i −0.349613 + 0.605547i −0.986181 0.165674i \(-0.947020\pi\)
0.636568 + 0.771221i \(0.280354\pi\)
\(614\) −20.6803 + 393.413i −0.0336813 + 0.640738i
\(615\) 547.187 434.683i 0.889735 0.706801i
\(616\) 397.202 238.406i 0.644809 0.387023i
\(617\) 300.247 251.937i 0.486624 0.408326i −0.366191 0.930540i \(-0.619338\pi\)
0.852815 + 0.522214i \(0.174894\pi\)
\(618\) 912.812 434.497i 1.47704 0.703070i
\(619\) 36.0407 + 99.0211i 0.0582241 + 0.159969i 0.965394 0.260794i \(-0.0839844\pi\)
−0.907170 + 0.420764i \(0.861762\pi\)
\(620\) 405.830 + 116.509i 0.654564 + 0.187918i
\(621\) 15.6573 1.47740i 0.0252130 0.00237907i
\(622\) 33.4837 + 44.4490i 0.0538323 + 0.0714614i
\(623\) 73.7330 + 202.580i 0.118352 + 0.325168i
\(624\) 652.643 + 157.563i 1.04590 + 0.252505i
\(625\) −163.333 + 137.053i −0.261333 + 0.219285i
\(626\) −477.875 445.767i −0.763378 0.712088i
\(627\) 119.095 + 800.372i 0.189944 + 1.27651i
\(628\) 10.0878 6.79968i 0.0160634 0.0108275i
\(629\) 316.713 548.564i 0.503519 0.872120i
\(630\) −135.004 200.772i −0.214292 0.318686i
\(631\) −528.383 + 305.062i −0.837374 + 0.483458i −0.856371 0.516362i \(-0.827286\pi\)
0.0189969 + 0.999820i \(0.493953\pi\)
\(632\) 108.849 + 561.403i 0.172229 + 0.888295i
\(633\) −230.861 141.675i −0.364710 0.223815i
\(634\) 187.944 57.4276i 0.296441 0.0905798i
\(635\) 254.922 700.391i 0.401451 1.10298i
\(636\) 240.342 759.738i 0.377896 1.19456i
\(637\) −86.9064 + 492.871i −0.136431 + 0.773738i
\(638\) −219.977 + 518.005i −0.344791 + 0.811920i
\(639\) −79.8794 106.285i −0.125007 0.166331i
\(640\) −356.780 310.839i −0.557469 0.485686i
\(641\) 229.980 + 192.976i 0.358783 + 0.301054i 0.804305 0.594216i \(-0.202538\pi\)
−0.445523 + 0.895271i \(0.646982\pi\)
\(642\) −31.4638 113.806i −0.0490090 0.177269i
\(643\) −231.774 + 40.8680i −0.360457 + 0.0635584i −0.350944 0.936396i \(-0.614139\pi\)
−0.00951324 + 0.999955i \(0.503028\pi\)
\(644\) −3.44310 7.73992i −0.00534642 0.0120185i
\(645\) −12.7442 + 14.3862i −0.0197585 + 0.0223042i
\(646\) 283.229 + 183.995i 0.438434 + 0.284821i
\(647\) 915.078i 1.41434i −0.707044 0.707170i \(-0.749972\pi\)
0.707044 0.707170i \(-0.250028\pi\)
\(648\) −645.702 + 54.5237i −0.996454 + 0.0841415i
\(649\) −1058.24 −1.63056
\(650\) −172.720 + 265.873i −0.265723 + 0.409036i
\(651\) −233.127 206.518i −0.358106 0.317233i
\(652\) −145.429 + 64.6941i −0.223051 + 0.0992241i
\(653\) −105.737 599.667i −0.161926 0.918326i −0.952178 0.305544i \(-0.901162\pi\)
0.790252 0.612782i \(-0.209950\pi\)
\(654\) −570.013 + 157.590i −0.871579 + 0.240963i
\(655\) 530.691 632.453i 0.810215 0.965577i
\(656\) −890.475 + 472.751i −1.35743 + 0.720657i
\(657\) 1095.52 + 466.672i 1.66746 + 0.710307i
\(658\) −538.558 228.705i −0.818477 0.347576i
\(659\) −78.7669 13.8887i −0.119525 0.0210755i 0.113566 0.993530i \(-0.463773\pi\)
−0.233091 + 0.972455i \(0.574884\pi\)
\(660\) −673.633 213.103i −1.02066 0.322883i
\(661\) 80.7044 + 29.3740i 0.122094 + 0.0444387i 0.402345 0.915488i \(-0.368195\pi\)
−0.280250 + 0.959927i \(0.590418\pi\)
\(662\) 207.135 + 677.891i 0.312892 + 1.02400i
\(663\) 218.853 356.625i 0.330095 0.537896i
\(664\) −36.7574 189.581i −0.0553575 0.285514i
\(665\) −113.817 197.137i −0.171154 0.296447i
\(666\) 78.1265 + 1140.76i 0.117307 + 1.71285i
\(667\) 8.91231 + 5.14552i 0.0133618 + 0.00771443i
\(668\) −44.1742 65.5357i −0.0661291 0.0981074i
\(669\) 1005.71 149.649i 1.50330 0.223691i
\(670\) −188.505 + 202.083i −0.281351 + 0.301617i
\(671\) 72.5698 + 86.4853i 0.108152 + 0.128890i
\(672\) 138.723 + 320.292i 0.206433 + 0.476625i
\(673\) 721.132 262.471i 1.07152 0.390001i 0.254774 0.967001i \(-0.417999\pi\)
0.816744 + 0.577000i \(0.195777\pi\)
\(674\) −942.019 + 709.629i −1.39765 + 1.05286i
\(675\) 77.1836 296.109i 0.114346 0.438680i
\(676\) 29.4110 102.446i 0.0435073 0.151547i
\(677\) −50.8219 + 18.4976i −0.0750692 + 0.0273230i −0.379282 0.925281i \(-0.623829\pi\)
0.304213 + 0.952604i \(0.401607\pi\)
\(678\) −434.816 913.481i −0.641321 1.34732i
\(679\) −179.369 213.764i −0.264167 0.314822i
\(680\) −252.853 + 151.766i −0.371842 + 0.223185i
\(681\) −444.625 559.702i −0.652900 0.821883i
\(682\) −908.255 47.7438i −1.33175 0.0700056i
\(683\) −41.0521 23.7014i −0.0601055 0.0347019i 0.469646 0.882855i \(-0.344382\pi\)
−0.529752 + 0.848153i \(0.677715\pi\)
\(684\) −609.606 + 9.67005i −0.891237 + 0.0141375i
\(685\) −367.260 636.113i −0.536146 0.928633i
\(686\) −549.351 + 279.799i −0.800803 + 0.407870i
\(687\) −233.663 431.009i −0.340121 0.627378i
\(688\) 21.8601 17.0567i 0.0317734 0.0247917i
\(689\) −872.801 317.674i −1.26676 0.461065i
\(690\) −5.36713 + 11.7523i −0.00777845 + 0.0170323i
\(691\) 655.348 + 115.555i 0.948405 + 0.167229i 0.626394 0.779507i \(-0.284530\pi\)
0.322011 + 0.946736i \(0.395641\pi\)
\(692\) −535.770 + 133.402i −0.774235 + 0.192778i
\(693\) 380.702 + 355.919i 0.549353 + 0.513592i
\(694\) 536.756 65.8191i 0.773423 0.0948402i
\(695\) 330.242 393.567i 0.475168 0.566283i
\(696\) −365.115 215.616i −0.524590 0.309794i
\(697\) 109.106 + 618.773i 0.156537 + 0.887766i
\(698\) 232.064 1004.45i 0.332470 1.43905i
\(699\) −87.5319 + 428.833i −0.125224 + 0.613495i
\(700\) −164.430 + 11.4457i −0.234900 + 0.0163511i
\(701\) −536.019 −0.764649 −0.382325 0.924028i \(-0.624876\pi\)
−0.382325 + 0.924028i \(0.624876\pi\)
\(702\) 31.3835 + 754.665i 0.0447059 + 1.07502i
\(703\) 1075.82i 1.53032i
\(704\) 899.538 + 479.390i 1.27775 + 0.680951i
\(705\) 282.616 + 846.443i 0.400873 + 1.20063i
\(706\) −97.2837 + 421.078i −0.137796 + 0.596428i
\(707\) 300.046 52.9063i 0.424394 0.0748321i
\(708\) 104.827 790.411i 0.148061 1.11640i
\(709\) 512.391 + 429.947i 0.722695 + 0.606413i 0.928129 0.372258i \(-0.121416\pi\)
−0.205434 + 0.978671i \(0.565861\pi\)
\(710\) 108.414 13.2941i 0.152695 0.0187241i
\(711\) −573.592 + 291.339i −0.806740 + 0.409759i
\(712\) −298.689 + 368.492i −0.419507 + 0.517545i
\(713\) −2.88802 + 16.3788i −0.00405052 + 0.0229716i
\(714\) 216.544 20.6769i 0.303284 0.0289593i
\(715\) −281.670 + 773.883i −0.393944 + 1.08235i
\(716\) −596.867 433.938i −0.833613 0.606059i
\(717\) 11.6578 434.604i 0.0162591 0.606142i
\(718\) 453.462 230.960i 0.631562 0.321671i
\(719\) 541.911 312.872i 0.753701 0.435149i −0.0733289 0.997308i \(-0.523362\pi\)
0.827029 + 0.562159i \(0.190029\pi\)
\(720\) 225.898 482.037i 0.313748 0.669495i
\(721\) 306.305 530.537i 0.424834 0.735834i
\(722\) 148.164 + 7.78847i 0.205213 + 0.0107874i
\(723\) 228.812 + 90.2999i 0.316475 + 0.124896i
\(724\) 366.389 + 38.6264i 0.506063 + 0.0533513i
\(725\) 153.391 128.710i 0.211573 0.177531i
\(726\) 793.445 + 63.0810i 1.09290 + 0.0868884i
\(727\) −484.036 1329.88i −0.665798 1.82927i −0.548465 0.836174i \(-0.684787\pi\)
−0.117334 0.993093i \(1.46257\pi\)
\(728\) 379.895 145.621i 0.521834 0.200029i
\(729\) −258.645 681.575i −0.354794 0.934945i
\(730\) −781.355 + 588.599i −1.07035 + 0.806300i
\(731\) −5.91011 16.2379i −0.00808497 0.0222133i
\(732\) −71.7857 + 45.6363i −0.0980679 + 0.0623447i
\(733\) −952.728 + 799.434i −1.29977 + 1.09063i −0.309580 + 0.950873i \(0.600188\pi\)
−0.990186 + 0.139759i \(0.955367\pi\)
\(734\) −774.123 + 829.882i −1.05466 + 1.13063i
\(735\) 369.118 + 145.672i 0.502202 + 0.198193i
\(736\) 10.7031 15.2599i 0.0145422 0.0207335i
\(737\) 297.647 515.540i 0.403863 0.699512i
\(738\) −786.718 817.010i −1.06601 1.10706i
\(739\) 1173.60 677.576i 1.58809 0.916883i 0.594465 0.804121i \(-0.297364\pi\)
0.993622 0.112761i \(-0.0359696\pi\)
\(740\) −844.150 412.050i −1.14074 0.556825i
\(741\) −19.0557 + 710.398i −0.0257162 + 0.958702i
\(742\) −141.105 461.795i −0.190168 0.622365i
\(743\) −272.586 + 748.924i −0.366872 + 1.00797i 0.609671 + 0.792654i \(0.291301\pi\)
−0.976544 + 0.215319i \(0.930921\pi\)
\(744\) 125.631 673.659i 0.168858 0.905456i
\(745\) −1.09687 + 6.22064i −0.00147231 + 0.00834986i
\(746\) 673.033 + 285.811i 0.902189 + 0.383125i
\(747\) 193.697 98.3827i 0.259300 0.131704i
\(748\) 457.099 441.136i 0.611095 0.589754i
\(749\) −54.8114 45.9923i −0.0731795 0.0614049i
\(750\) 574.367 + 565.328i 0.765823 + 0.753771i
\(751\) 1324.25 233.502i 1.76332 0.310921i 0.804292 0.594234i \(-0.202545\pi\)
0.959027 + 0.283313i \(0.0914337\pi\)
\(752\) −178.366 1275.00i −0.237189 1.69547i
\(753\) 45.5878 + 136.537i 0.0605416 + 0.181324i
\(754\) −269.254 + 414.471i −0.357101 + 0.549697i
\(755\) 415.377i