Properties

Label 354.3.h.a.5.10
Level 354
Weight 3
Character 354.5
Analytic conductor 9.646
Analytic rank 0
Dimension 1120
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 3 \)
Character orbit: \([\chi]\) = 354.h (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.64580135835\)
Analytic rank: \(0\)
Dimension: \(1120\)
Relative dimension: \(40\) over \(\Q(\zeta_{58})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 5.10
Character \(\chi\) = 354.5
Dual form 354.3.h.a.71.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.451561 + 1.34018i) q^{2} +(0.214023 - 2.99236i) q^{3} +(-1.59219 - 1.21035i) q^{4} +(6.91221 + 2.75408i) q^{5} +(3.91366 + 1.63806i) q^{6} +(12.1903 - 5.63984i) q^{7} +(2.34106 - 1.58728i) q^{8} +(-8.90839 - 1.28087i) q^{9} +O(q^{10})\) \(q+(-0.451561 + 1.34018i) q^{2} +(0.214023 - 2.99236i) q^{3} +(-1.59219 - 1.21035i) q^{4} +(6.91221 + 2.75408i) q^{5} +(3.91366 + 1.63806i) q^{6} +(12.1903 - 5.63984i) q^{7} +(2.34106 - 1.58728i) q^{8} +(-8.90839 - 1.28087i) q^{9} +(-6.81225 + 8.02001i) q^{10} +(4.90050 + 1.36062i) q^{11} +(-3.96256 + 4.50534i) q^{12} +(-2.96099 + 5.58502i) q^{13} +(2.05376 + 18.8840i) q^{14} +(9.72056 - 20.0944i) q^{15} +(1.07011 + 3.85420i) q^{16} +(4.00310 - 8.65256i) q^{17} +(5.73928 - 11.3605i) q^{18} +(-30.9408 + 6.81058i) q^{19} +(-7.67214 - 12.7512i) q^{20} +(-14.2674 - 37.6848i) q^{21} +(-4.03635 + 5.95317i) q^{22} +(21.6491 + 3.54919i) q^{23} +(-4.24866 - 7.34499i) q^{24} +(22.0439 + 20.8811i) q^{25} +(-6.14789 - 6.49025i) q^{26} +(-5.73942 + 26.3829i) q^{27} +(-26.2354 - 5.77486i) q^{28} +(-11.3791 - 33.7721i) q^{29} +(22.5407 + 22.1012i) q^{30} +(26.0221 + 5.72789i) q^{31} +(-5.64856 - 0.306256i) q^{32} +(5.12027 - 14.3728i) q^{33} +(9.78838 + 9.27204i) q^{34} +(99.7947 - 5.41071i) q^{35} +(12.6335 + 12.8216i) q^{36} +(-22.5244 + 33.2210i) q^{37} +(4.84421 - 44.5417i) q^{38} +(16.0787 + 10.0557i) q^{39} +(20.5534 - 4.52414i) q^{40} +(34.0243 - 5.57800i) q^{41} +(56.9472 - 2.10396i) q^{42} +(-5.68239 - 20.4661i) q^{43} +(-6.15569 - 8.09767i) q^{44} +(-58.0491 - 33.3880i) q^{45} +(-14.5324 + 27.4111i) q^{46} +(61.6058 - 24.5460i) q^{47} +(11.7622 - 2.37727i) q^{48} +(85.0742 - 100.157i) q^{49} +(-37.9386 + 20.1138i) q^{50} +(-25.0348 - 13.8305i) q^{51} +(11.4743 - 5.30857i) q^{52} +(-17.3264 + 14.7172i) q^{53} +(-32.7663 - 19.6054i) q^{54} +(30.1261 + 22.9012i) q^{55} +(19.5863 - 32.5526i) q^{56} +(13.7576 + 94.0435i) q^{57} +50.3992 q^{58} +(-56.3922 + 17.3472i) q^{59} +(-39.7981 + 20.2287i) q^{60} +(-92.1596 - 31.0522i) q^{61} +(-19.4270 + 32.2879i) q^{62} +(-115.820 + 34.6277i) q^{63} +(2.96111 - 7.43181i) q^{64} +(-35.8486 + 30.4501i) q^{65} +(16.9501 + 13.3523i) q^{66} +(49.0828 + 72.3917i) q^{67} +(-16.8463 + 8.93134i) q^{68} +(15.2538 - 64.0222i) q^{69} +(-37.8120 + 136.187i) q^{70} +(-38.5038 + 15.3413i) q^{71} +(-22.8881 + 11.1415i) q^{72} +(-35.6579 + 3.87803i) q^{73} +(-34.3511 - 45.1881i) q^{74} +(67.2015 - 61.4941i) q^{75} +(57.5067 + 26.6054i) q^{76} +(67.4124 - 11.0517i) q^{77} +(-20.7369 + 17.0076i) q^{78} +(-38.2979 + 23.0431i) q^{79} +(-3.21791 + 29.5882i) q^{80} +(77.7188 + 22.8209i) q^{81} +(-7.88849 + 48.1177i) q^{82} +(59.5690 - 3.22973i) q^{83} +(-22.8954 + 77.2698i) q^{84} +(51.5001 - 48.7835i) q^{85} +(29.9943 + 1.62624i) q^{86} +(-103.494 + 26.8224i) q^{87} +(13.6320 - 4.59317i) q^{88} +(-1.89791 - 5.63279i) q^{89} +(70.9588 - 62.7197i) q^{90} +(-4.59679 + 84.7828i) q^{91} +(-30.1736 - 31.8539i) q^{92} +(22.7092 - 76.6414i) q^{93} +(5.07740 + 93.6471i) q^{94} +(-232.626 - 38.1371i) q^{95} +(-2.12535 + 16.8370i) q^{96} +(75.4370 + 8.20427i) q^{97} +(95.8128 + 159.242i) q^{98} +(-41.9128 - 18.3978i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1120q + 80q^{4} - 8q^{6} - 8q^{7} + 24q^{9} + O(q^{10}) \) \( 1120q + 80q^{4} - 8q^{6} - 8q^{7} + 24q^{9} + 16q^{10} - 34q^{15} - 160q^{16} - 16q^{18} - 24q^{19} + 18q^{21} + 16q^{22} + 16q^{24} + 216q^{25} + 30q^{27} + 16q^{28} + 64q^{30} - 96q^{31} - 76q^{33} - 80q^{34} - 48q^{36} + 200q^{37} + 28q^{39} - 32q^{40} - 48q^{42} + 104q^{43} + 696q^{45} - 32q^{46} - 288q^{49} + 1800q^{51} + 852q^{54} - 360q^{55} + 76q^{57} + 128q^{58} - 280q^{60} + 32q^{61} - 1318q^{63} + 320q^{64} - 1512q^{66} + 344q^{67} - 2640q^{69} - 192q^{70} + 32q^{72} - 40q^{73} - 1014q^{75} + 48q^{76} - 96q^{78} - 32q^{79} - 336q^{81} + 80q^{82} - 36q^{84} - 168q^{85} + 162q^{87} - 32q^{88} - 112q^{90} - 88q^{91} + 316q^{93} + 400q^{94} - 32q^{96} + 184q^{97} + 148q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{3}{29}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.451561 + 1.34018i −0.225780 + 0.670092i
\(3\) 0.214023 2.99236i 0.0713411 0.997452i
\(4\) −1.59219 1.21035i −0.398047 0.302587i
\(5\) 6.91221 + 2.75408i 1.38244 + 0.550816i 0.938512 0.345246i \(-0.112204\pi\)
0.443931 + 0.896061i \(0.353584\pi\)
\(6\) 3.91366 + 1.63806i 0.652277 + 0.273010i
\(7\) 12.1903 5.63984i 1.74148 0.805692i 0.752323 0.658794i \(-0.228933\pi\)
0.989152 0.146898i \(-0.0469290\pi\)
\(8\) 2.34106 1.58728i 0.292632 0.198410i
\(9\) −8.90839 1.28087i −0.989821 0.142319i
\(10\) −6.81225 + 8.02001i −0.681225 + 0.802001i
\(11\) 4.90050 + 1.36062i 0.445500 + 0.123692i 0.483032 0.875603i \(-0.339536\pi\)
−0.0375315 + 0.999295i \(0.511949\pi\)
\(12\) −3.96256 + 4.50534i −0.330213 + 0.375445i
\(13\) −2.96099 + 5.58502i −0.227769 + 0.429617i −0.970885 0.239545i \(-0.923002\pi\)
0.743117 + 0.669162i \(0.233347\pi\)
\(14\) 2.05376 + 18.8840i 0.146697 + 1.34886i
\(15\) 9.72056 20.0944i 0.648037 1.33962i
\(16\) 1.07011 + 3.85420i 0.0668821 + 0.240887i
\(17\) 4.00310 8.65256i 0.235476 0.508974i −0.753427 0.657531i \(-0.771601\pi\)
0.988904 + 0.148557i \(0.0474629\pi\)
\(18\) 5.73928 11.3605i 0.318849 0.631138i
\(19\) −30.9408 + 6.81058i −1.62846 + 0.358452i −0.932934 0.360047i \(-0.882761\pi\)
−0.695528 + 0.718499i \(0.744830\pi\)
\(20\) −7.67214 12.7512i −0.383607 0.637560i
\(21\) −14.2674 37.6848i −0.679400 1.79452i
\(22\) −4.03635 + 5.95317i −0.183470 + 0.270599i
\(23\) 21.6491 + 3.54919i 0.941265 + 0.154312i 0.612830 0.790214i \(-0.290031\pi\)
0.328434 + 0.944527i \(0.393479\pi\)
\(24\) −4.24866 7.34499i −0.177027 0.306041i
\(25\) 22.0439 + 20.8811i 0.881755 + 0.835243i
\(26\) −6.14789 6.49025i −0.236457 0.249625i
\(27\) −5.73942 + 26.3829i −0.212571 + 0.977146i
\(28\) −26.2354 5.77486i −0.936980 0.206245i
\(29\) −11.3791 33.7721i −0.392384 1.16456i −0.943855 0.330361i \(-0.892830\pi\)
0.551470 0.834194i \(-0.314067\pi\)
\(30\) 22.5407 + 22.1012i 0.751358 + 0.736705i
\(31\) 26.0221 + 5.72789i 0.839421 + 0.184771i 0.613817 0.789448i \(-0.289633\pi\)
0.225604 + 0.974219i \(0.427564\pi\)
\(32\) −5.64856 0.306256i −0.176517 0.00957050i
\(33\) 5.12027 14.3728i 0.155160 0.435541i
\(34\) 9.78838 + 9.27204i 0.287893 + 0.272707i
\(35\) 99.7947 5.41071i 2.85128 0.154592i
\(36\) 12.6335 + 12.8216i 0.350931 + 0.356156i
\(37\) −22.5244 + 33.2210i −0.608767 + 0.897865i −0.999746 0.0225350i \(-0.992826\pi\)
0.390979 + 0.920400i \(0.372137\pi\)
\(38\) 4.84421 44.5417i 0.127479 1.17215i
\(39\) 16.0787 + 10.0557i 0.412273 + 0.257838i
\(40\) 20.5534 4.52414i 0.513835 0.113104i
\(41\) 34.0243 5.57800i 0.829861 0.136049i 0.268145 0.963379i \(-0.413589\pi\)
0.561717 + 0.827330i \(0.310141\pi\)
\(42\) 56.9472 2.10396i 1.35589 0.0500943i
\(43\) −5.68239 20.4661i −0.132148 0.475956i 0.867625 0.497218i \(-0.165645\pi\)
−0.999774 + 0.0212625i \(0.993231\pi\)
\(44\) −6.15569 8.09767i −0.139902 0.184038i
\(45\) −58.0491 33.3880i −1.28998 0.741956i
\(46\) −14.5324 + 27.4111i −0.315923 + 0.595893i
\(47\) 61.6058 24.5460i 1.31076 0.522255i 0.393056 0.919515i \(-0.371418\pi\)
0.917706 + 0.397260i \(0.130039\pi\)
\(48\) 11.7622 2.37727i 0.245045 0.0495265i
\(49\) 85.0742 100.157i 1.73621 2.04402i
\(50\) −37.9386 + 20.1138i −0.758773 + 0.402276i
\(51\) −25.0348 13.8305i −0.490878 0.271187i
\(52\) 11.4743 5.30857i 0.220659 0.102088i
\(53\) −17.3264 + 14.7172i −0.326913 + 0.277683i −0.795779 0.605587i \(-0.792939\pi\)
0.468866 + 0.883269i \(0.344663\pi\)
\(54\) −32.7663 19.6054i −0.606783 0.363062i
\(55\) 30.1261 + 22.9012i 0.547747 + 0.416386i
\(56\) 19.5863 32.5526i 0.349755 0.581297i
\(57\) 13.7576 + 94.0435i 0.241362 + 1.64989i
\(58\) 50.3992 0.868952
\(59\) −56.3922 + 17.3472i −0.955799 + 0.294020i
\(60\) −39.7981 + 20.2287i −0.663302 + 0.337145i
\(61\) −92.1596 31.0522i −1.51081 0.509052i −0.562612 0.826721i \(-0.690203\pi\)
−0.948202 + 0.317669i \(0.897100\pi\)
\(62\) −19.4270 + 32.2879i −0.313338 + 0.520772i
\(63\) −115.820 + 34.6277i −1.83841 + 0.549646i
\(64\) 2.96111 7.43181i 0.0462673 0.116122i
\(65\) −35.8486 + 30.4501i −0.551517 + 0.468463i
\(66\) 16.9501 + 13.3523i 0.256820 + 0.202308i
\(67\) 49.0828 + 72.3917i 0.732579 + 1.08047i 0.993357 + 0.115075i \(0.0367107\pi\)
−0.260778 + 0.965399i \(0.583979\pi\)
\(68\) −16.8463 + 8.93134i −0.247740 + 0.131343i
\(69\) 15.2538 64.0222i 0.221070 0.927857i
\(70\) −37.8120 + 136.187i −0.540172 + 1.94552i
\(71\) −38.5038 + 15.3413i −0.542307 + 0.216075i −0.625173 0.780486i \(-0.714972\pi\)
0.0828665 + 0.996561i \(0.473592\pi\)
\(72\) −22.8881 + 11.1415i −0.317891 + 0.154743i
\(73\) −35.6579 + 3.87803i −0.488464 + 0.0531237i −0.349037 0.937109i \(-0.613491\pi\)
−0.139427 + 0.990232i \(0.544526\pi\)
\(74\) −34.3511 45.1881i −0.464204 0.610650i
\(75\) 67.2015 61.4941i 0.896020 0.819921i
\(76\) 57.5067 + 26.6054i 0.756667 + 0.350071i
\(77\) 67.4124 11.0517i 0.875485 0.143529i
\(78\) −20.7369 + 17.0076i −0.265858 + 0.218046i
\(79\) −38.2979 + 23.0431i −0.484784 + 0.291685i −0.736887 0.676015i \(-0.763705\pi\)
0.252103 + 0.967700i \(0.418878\pi\)
\(80\) −3.21791 + 29.5882i −0.0402239 + 0.369853i
\(81\) 77.7188 + 22.8209i 0.959491 + 0.281740i
\(82\) −7.88849 + 48.1177i −0.0962011 + 0.586801i
\(83\) 59.5690 3.22973i 0.717698 0.0389125i 0.308327 0.951280i \(-0.400231\pi\)
0.409371 + 0.912368i \(0.365748\pi\)
\(84\) −22.8954 + 77.2698i −0.272565 + 0.919879i
\(85\) 51.5001 48.7835i 0.605884 0.573923i
\(86\) 29.9943 + 1.62624i 0.348771 + 0.0189098i
\(87\) −103.494 + 26.8224i −1.18958 + 0.308304i
\(88\) 13.6320 4.59317i 0.154909 0.0521951i
\(89\) −1.89791 5.63279i −0.0213248 0.0632898i 0.936462 0.350768i \(-0.114080\pi\)
−0.957787 + 0.287479i \(0.907183\pi\)
\(90\) 70.9588 62.7197i 0.788431 0.696886i
\(91\) −4.59679 + 84.7828i −0.0505142 + 0.931679i
\(92\) −30.1736 31.8539i −0.327974 0.346238i
\(93\) 22.7092 76.6414i 0.244185 0.824101i
\(94\) 5.07740 + 93.6471i 0.0540149 + 0.996246i
\(95\) −232.626 38.1371i −2.44870 0.401444i
\(96\) −2.12535 + 16.8370i −0.0221391 + 0.175385i
\(97\) 75.4370 + 8.20427i 0.777701 + 0.0845801i 0.488356 0.872645i \(-0.337597\pi\)
0.289345 + 0.957225i \(0.406562\pi\)
\(98\) 95.8128 + 159.242i 0.977682 + 1.62492i
\(99\) −41.9128 18.3978i −0.423361 0.185836i
\(100\) −9.82459 59.9273i −0.0982459 0.599273i
\(101\) 4.41947 9.55252i 0.0437571 0.0945794i −0.884464 0.466608i \(-0.845476\pi\)
0.928221 + 0.372029i \(0.121338\pi\)
\(102\) 29.8402 27.3059i 0.292551 0.267705i
\(103\) −148.834 + 113.141i −1.44499 + 1.09845i −0.468360 + 0.883538i \(0.655155\pi\)
−0.976632 + 0.214917i \(0.931052\pi\)
\(104\) 1.93312 + 17.7748i 0.0185877 + 0.170911i
\(105\) 5.16762 299.779i 0.0492155 2.85504i
\(106\) −11.8998 29.8663i −0.112262 0.281757i
\(107\) −143.173 39.7517i −1.33806 0.371511i −0.476506 0.879171i \(-0.658097\pi\)
−0.861558 + 0.507660i \(0.830511\pi\)
\(108\) 41.0708 35.0598i 0.380285 0.324628i
\(109\) −64.5168 121.692i −0.591897 1.11644i −0.980774 0.195146i \(-0.937482\pi\)
0.388877 0.921290i \(-0.372863\pi\)
\(110\) −44.2956 + 30.0332i −0.402687 + 0.273029i
\(111\) 94.5883 + 74.5111i 0.852147 + 0.671271i
\(112\) 34.7821 + 40.9487i 0.310555 + 0.365613i
\(113\) 27.4116 + 10.9218i 0.242581 + 0.0966529i 0.488260 0.872698i \(-0.337632\pi\)
−0.245679 + 0.969351i \(0.579011\pi\)
\(114\) −132.248 24.0286i −1.16007 0.210777i
\(115\) 139.868 + 84.1560i 1.21625 + 0.731791i
\(116\) −22.7583 + 67.5442i −0.196192 + 0.582278i
\(117\) 33.5313 45.9609i 0.286593 0.392828i
\(118\) 2.21605 83.4092i 0.0187800 0.706857i
\(119\) 128.054i 1.07609i
\(120\) −9.13894 62.4713i −0.0761578 0.520594i
\(121\) −81.5161 49.0466i −0.673687 0.405344i
\(122\) 83.2313 109.489i 0.682224 0.897450i
\(123\) −9.40937 103.007i −0.0764990 0.837453i
\(124\) −34.4992 40.6156i −0.278220 0.327545i
\(125\) 16.7575 + 36.2207i 0.134060 + 0.289765i
\(126\) 5.89224 170.857i 0.0467638 1.35601i
\(127\) 10.0671 + 18.9885i 0.0792684 + 0.149516i 0.919978 0.391971i \(-0.128206\pi\)
−0.840709 + 0.541487i \(0.817862\pi\)
\(128\) 8.62288 + 7.32434i 0.0673662 + 0.0572214i
\(129\) −62.4580 + 12.6235i −0.484171 + 0.0978566i
\(130\) −24.6209 61.7938i −0.189391 0.475337i
\(131\) 131.444 + 69.6873i 1.00339 + 0.531964i 0.887260 0.461270i \(-0.152606\pi\)
0.116131 + 0.993234i \(0.462951\pi\)
\(132\) −25.5486 + 16.6869i −0.193550 + 0.126416i
\(133\) −338.768 + 257.524i −2.54713 + 1.93627i
\(134\) −119.182 + 33.0907i −0.889419 + 0.246946i
\(135\) −112.333 + 166.558i −0.832094 + 1.23376i
\(136\) −4.36252 26.6102i −0.0320773 0.195663i
\(137\) 40.2995 + 183.082i 0.294157 + 1.33637i 0.859341 + 0.511403i \(0.170874\pi\)
−0.565184 + 0.824965i \(0.691195\pi\)
\(138\) 78.9134 + 49.3528i 0.571836 + 0.357629i
\(139\) −27.4022 2.98017i −0.197138 0.0214401i 0.00901705 0.999959i \(-0.497130\pi\)
−0.206155 + 0.978519i \(0.566095\pi\)
\(140\) −165.441 112.172i −1.18172 0.801225i
\(141\) −60.2653 189.600i −0.427413 1.34468i
\(142\) −3.17339 58.5297i −0.0223478 0.412181i
\(143\) −22.1094 + 23.3406i −0.154611 + 0.163221i
\(144\) −4.59626 35.7054i −0.0319185 0.247954i
\(145\) 14.3559 264.779i 0.0990062 1.82606i
\(146\) 10.9044 49.5393i 0.0746878 0.339310i
\(147\) −281.498 276.008i −1.91495 1.87761i
\(148\) 76.0720 25.6316i 0.514000 0.173187i
\(149\) −44.3846 + 201.641i −0.297883 + 1.35330i 0.555285 + 0.831660i \(0.312609\pi\)
−0.853168 + 0.521636i \(0.825322\pi\)
\(150\) 52.0679 + 117.831i 0.347119 + 0.785538i
\(151\) −22.2393 + 21.0662i −0.147280 + 0.139511i −0.757793 0.652496i \(-0.773722\pi\)
0.610513 + 0.792007i \(0.290963\pi\)
\(152\) −61.6239 + 65.0556i −0.405420 + 0.427997i
\(153\) −46.7439 + 71.9529i −0.305516 + 0.470280i
\(154\) −15.6295 + 95.3355i −0.101490 + 0.619062i
\(155\) 164.095 + 111.259i 1.05868 + 0.717801i
\(156\) −13.4294 35.4713i −0.0860856 0.227380i
\(157\) 166.514 100.188i 1.06060 0.638141i 0.125343 0.992113i \(-0.459997\pi\)
0.935256 + 0.353972i \(0.115169\pi\)
\(158\) −13.5882 61.7316i −0.0860010 0.390707i
\(159\) 40.3308 + 54.9966i 0.253653 + 0.345891i
\(160\) −38.2006 17.6735i −0.238754 0.110459i
\(161\) 283.926 78.8317i 1.76352 0.489638i
\(162\) −65.6790 + 93.8524i −0.405426 + 0.579336i
\(163\) −185.940 + 20.2222i −1.14074 + 0.124063i −0.658922 0.752211i \(-0.728987\pi\)
−0.481814 + 0.876274i \(0.660022\pi\)
\(164\) −60.9244 32.3001i −0.371490 0.196952i
\(165\) 74.9763 85.2465i 0.454402 0.516646i
\(166\) −22.5706 + 81.2918i −0.135967 + 0.489710i
\(167\) 77.2584 + 65.6239i 0.462625 + 0.392957i 0.848164 0.529734i \(-0.177708\pi\)
−0.385538 + 0.922692i \(0.625984\pi\)
\(168\) −93.2171 65.5761i −0.554864 0.390334i
\(169\) 72.4156 + 106.805i 0.428495 + 0.631982i
\(170\) 42.1234 + 91.0483i 0.247785 + 0.535578i
\(171\) 284.356 21.0402i 1.66290 0.123042i
\(172\) −15.7237 + 39.4635i −0.0914169 + 0.229439i
\(173\) −39.8092 + 52.3682i −0.230111 + 0.302706i −0.896629 0.442783i \(-0.853991\pi\)
0.666517 + 0.745489i \(0.267784\pi\)
\(174\) 10.7866 150.812i 0.0619920 0.866738i
\(175\) 386.488 + 130.223i 2.20850 + 0.744131i
\(176\) 20.3435i 0.115588i
\(177\) 39.8397 + 172.458i 0.225083 + 0.974340i
\(178\) 8.40600 0.0472247
\(179\) 86.2410 255.954i 0.481793 1.42991i −0.381104 0.924532i \(-0.624456\pi\)
0.862897 0.505379i \(-0.168647\pi\)
\(180\) 52.0138 + 123.420i 0.288966 + 0.685664i
\(181\) −12.7932 9.72517i −0.0706809 0.0537302i 0.569237 0.822173i \(-0.307239\pi\)
−0.639918 + 0.768443i \(0.721032\pi\)
\(182\) −111.549 44.4451i −0.612906 0.244204i
\(183\) −112.644 + 269.128i −0.615538 + 1.47065i
\(184\) 56.3153 26.0542i 0.306061 0.141599i
\(185\) −247.187 + 167.597i −1.33614 + 0.905928i
\(186\) 92.4589 + 65.0427i 0.497091 + 0.349692i
\(187\) 31.3900 36.9552i 0.167861 0.197621i
\(188\) −127.797 35.4827i −0.679772 0.188738i
\(189\) 78.8303 + 353.986i 0.417091 + 1.87294i
\(190\) 156.156 294.541i 0.821872 1.55021i
\(191\) 0.618421 + 5.68628i 0.00323780 + 0.0297711i 0.995645 0.0932213i \(-0.0297164\pi\)
−0.992408 + 0.122992i \(0.960751\pi\)
\(192\) −21.6049 10.4513i −0.112525 0.0544337i
\(193\) −63.1533 227.458i −0.327219 1.17854i −0.925969 0.377601i \(-0.876749\pi\)
0.598749 0.800936i \(-0.295665\pi\)
\(194\) −45.0596 + 97.3948i −0.232266 + 0.502035i
\(195\) 83.4450 + 113.789i 0.427923 + 0.583532i
\(196\) −256.679 + 56.4993i −1.30959 + 0.288262i
\(197\) 123.257 + 204.854i 0.625668 + 1.03987i 0.993916 + 0.110140i \(0.0351300\pi\)
−0.368248 + 0.929727i \(0.620042\pi\)
\(198\) 43.5826 47.8631i 0.220114 0.241733i
\(199\) −200.016 + 295.001i −1.00511 + 1.48242i −0.134208 + 0.990953i \(0.542849\pi\)
−0.870897 + 0.491466i \(0.836461\pi\)
\(200\) 84.7500 + 13.8941i 0.423750 + 0.0694703i
\(201\) 227.127 131.380i 1.12998 0.653630i
\(202\) 10.8065 + 10.2364i 0.0534974 + 0.0506755i
\(203\) −329.185 347.516i −1.62160 1.71190i
\(204\) 23.1202 + 52.3216i 0.113335 + 0.256478i
\(205\) 250.546 + 55.1493i 1.22217 + 0.269021i
\(206\) −84.4219 250.555i −0.409815 1.21629i
\(207\) −188.312 59.3472i −0.909722 0.286701i
\(208\) −24.6944 5.43565i −0.118723 0.0261329i
\(209\) −160.892 8.72331i −0.769818 0.0417383i
\(210\) 399.426 + 142.294i 1.90203 + 0.677591i
\(211\) −45.1619 42.7796i −0.214037 0.202747i 0.573168 0.819438i \(-0.305714\pi\)
−0.787205 + 0.616691i \(0.788473\pi\)
\(212\) 45.3998 2.46151i 0.214150 0.0116109i
\(213\) 37.6660 + 118.500i 0.176835 + 0.556340i
\(214\) 117.926 173.928i 0.551055 0.812746i
\(215\) 17.0874 157.116i 0.0794762 0.730771i
\(216\) 28.4407 + 70.8740i 0.131670 + 0.328120i
\(217\) 349.522 76.9356i 1.61070 0.354542i
\(218\) 192.222 31.5132i 0.881754 0.144556i
\(219\) 3.97282 + 107.531i 0.0181407 + 0.491009i
\(220\) −20.2478 72.9261i −0.0920356 0.331482i
\(221\) 36.4716 + 47.9776i 0.165030 + 0.217093i
\(222\) −142.571 + 93.1195i −0.642211 + 0.419457i
\(223\) 63.5293 119.829i 0.284885 0.537349i −0.699227 0.714900i \(-0.746472\pi\)
0.984112 + 0.177550i \(0.0568172\pi\)
\(224\) −70.5850 + 28.1236i −0.315112 + 0.125552i
\(225\) −169.630 214.252i −0.753909 0.952231i
\(226\) −27.0152 + 31.8047i −0.119536 + 0.140729i
\(227\) −108.436 + 57.4892i −0.477693 + 0.253257i −0.689814 0.723987i \(-0.742308\pi\)
0.212121 + 0.977243i \(0.431963\pi\)
\(228\) 91.9207 166.386i 0.403161 0.729764i
\(229\) −294.025 + 136.030i −1.28395 + 0.594019i −0.938779 0.344520i \(-0.888042\pi\)
−0.345173 + 0.938539i \(0.612180\pi\)
\(230\) −175.944 + 149.448i −0.764972 + 0.649773i
\(231\) −18.6428 204.087i −0.0807047 0.883494i
\(232\) −80.2449 61.0006i −0.345883 0.262934i
\(233\) −122.979 + 204.393i −0.527808 + 0.877223i −0.999991 0.00427741i \(-0.998638\pi\)
0.472183 + 0.881500i \(0.343466\pi\)
\(234\) 46.4547 + 65.6923i 0.198524 + 0.280736i
\(235\) 493.434 2.09972
\(236\) 110.783 + 40.6342i 0.469419 + 0.172179i
\(237\) 60.7565 + 119.533i 0.256357 + 0.504358i
\(238\) 171.616 + 57.8243i 0.721077 + 0.242959i
\(239\) −107.716 + 179.025i −0.450695 + 0.749060i −0.996017 0.0891662i \(-0.971580\pi\)
0.545322 + 0.838227i \(0.316407\pi\)
\(240\) 87.8498 + 15.9617i 0.366041 + 0.0665072i
\(241\) −143.497 + 360.150i −0.595422 + 1.49440i 0.254279 + 0.967131i \(0.418162\pi\)
−0.849701 + 0.527266i \(0.823217\pi\)
\(242\) 102.541 87.0990i 0.423723 0.359913i
\(243\) 84.9220 227.678i 0.349473 0.936946i
\(244\) 109.151 + 160.986i 0.447341 + 0.659779i
\(245\) 863.892 458.007i 3.52609 1.86941i
\(246\) 142.297 + 33.9035i 0.578442 + 0.137819i
\(247\) 53.5782 192.971i 0.216916 0.781260i
\(248\) 70.0109 27.8949i 0.282302 0.112479i
\(249\) 3.08463 178.943i 0.0123881 0.718646i
\(250\) −56.1094 + 6.10226i −0.224438 + 0.0244090i
\(251\) 166.991 + 219.672i 0.665301 + 0.875189i 0.997688 0.0679542i \(-0.0216472\pi\)
−0.332387 + 0.943143i \(0.607854\pi\)
\(252\) 226.319 + 85.0488i 0.898090 + 0.337495i
\(253\) 101.262 + 46.8489i 0.400246 + 0.185174i
\(254\) −29.9940 + 4.91727i −0.118087 + 0.0193593i
\(255\) −134.955 164.547i −0.529237 0.645284i
\(256\) −13.7097 + 8.24886i −0.0535536 + 0.0322221i
\(257\) −3.01465 + 27.7192i −0.0117301 + 0.107857i −0.998539 0.0540314i \(-0.982793\pi\)
0.986809 + 0.161888i \(0.0517584\pi\)
\(258\) 11.2858 89.4055i 0.0437433 0.346533i
\(259\) −87.2184 + 532.009i −0.336751 + 2.05409i
\(260\) 93.9329 5.09289i 0.361280 0.0195880i
\(261\) 58.1122 + 315.430i 0.222652 + 1.20854i
\(262\) −152.749 + 144.691i −0.583011 + 0.552257i
\(263\) 170.321 + 9.23455i 0.647609 + 0.0351123i 0.375018 0.927018i \(-0.377637\pi\)
0.272591 + 0.962130i \(0.412119\pi\)
\(264\) −10.8268 41.7749i −0.0410107 0.158238i
\(265\) −160.296 + 54.0101i −0.604891 + 0.203812i
\(266\) −192.156 570.299i −0.722391 2.14398i
\(267\) −17.2615 + 4.47367i −0.0646499 + 0.0167553i
\(268\) 9.47025 174.668i 0.0353367 0.651748i
\(269\) −92.1168 97.2465i −0.342442 0.361511i 0.531913 0.846799i \(-0.321473\pi\)
−0.874354 + 0.485288i \(0.838715\pi\)
\(270\) −172.493 225.757i −0.638863 0.836139i
\(271\) 4.71855 + 87.0285i 0.0174116 + 0.321138i 0.994244 + 0.107135i \(0.0341677\pi\)
−0.976833 + 0.214004i \(0.931350\pi\)
\(272\) 37.6325 + 6.16953i 0.138355 + 0.0226821i
\(273\) 252.716 + 31.9007i 0.925701 + 0.116852i
\(274\) −263.562 28.6641i −0.961904 0.104613i
\(275\) 79.6149 + 132.321i 0.289509 + 0.481167i
\(276\) −101.776 + 83.4727i −0.368754 + 0.302437i
\(277\) −66.0656 402.982i −0.238504 1.45481i −0.786117 0.618077i \(-0.787912\pi\)
0.547613 0.836731i \(-0.315536\pi\)
\(278\) 16.3678 35.3783i 0.0588768 0.127260i
\(279\) −224.478 84.3571i −0.804580 0.302355i
\(280\) 225.037 171.069i 0.803703 0.610959i
\(281\) −52.8344 485.805i −0.188023 1.72884i −0.585017 0.811021i \(-0.698912\pi\)
0.396994 0.917821i \(-0.370053\pi\)
\(282\) 281.312 + 4.84928i 0.997561 + 0.0171960i
\(283\) −27.5575 69.1641i −0.0973763 0.244396i 0.872217 0.489120i \(-0.162682\pi\)
−0.969593 + 0.244724i \(0.921303\pi\)
\(284\) 79.8735 + 22.1768i 0.281245 + 0.0780873i
\(285\) −163.907 + 687.938i −0.575114 + 2.41382i
\(286\) −21.2970 40.1704i −0.0744650 0.140456i
\(287\) 383.308 259.890i 1.33557 0.905539i
\(288\) 49.9273 + 9.96330i 0.173359 + 0.0345948i
\(289\) 128.253 + 150.991i 0.443781 + 0.522459i
\(290\) 348.370 + 138.803i 1.20128 + 0.478632i
\(291\) 40.6954 223.979i 0.139847 0.769686i
\(292\) 61.4677 + 36.9839i 0.210506 + 0.126657i
\(293\) 18.8396 55.9139i 0.0642989 0.190832i −0.910688 0.413095i \(-0.864448\pi\)
0.974987 + 0.222263i \(0.0713442\pi\)
\(294\) 497.015 252.625i 1.69053 0.859267i
\(295\) −437.570 35.4009i −1.48329 0.120003i
\(296\) 113.525i 0.383529i
\(297\) −64.0231 + 121.480i −0.215566 + 0.409025i
\(298\) −250.194 150.537i −0.839577 0.505157i
\(299\) −83.9251 + 110.402i −0.280686 + 0.369236i
\(300\) −181.427 + 16.5728i −0.604755 + 0.0552427i
\(301\) −184.696 217.441i −0.613607 0.722394i
\(302\) −18.1902 39.3174i −0.0602323 0.130190i
\(303\) −27.6387 15.2691i −0.0912168 0.0503930i
\(304\) −59.3595 111.964i −0.195262 0.368302i
\(305\) −551.507 468.454i −1.80822 1.53592i
\(306\) −75.3224 95.1366i −0.246152 0.310904i
\(307\) 38.6586 + 97.0258i 0.125924 + 0.316045i 0.978400 0.206721i \(-0.0662793\pi\)
−0.852476 + 0.522766i \(0.824900\pi\)
\(308\) −120.709 63.9961i −0.391914 0.207780i
\(309\) 306.704 + 469.580i 0.992569 + 1.51968i
\(310\) −223.207 + 169.677i −0.720021 + 0.547346i
\(311\) −362.117 + 100.541i −1.16436 + 0.323284i −0.795356 0.606143i \(-0.792716\pi\)
−0.369007 + 0.929427i \(0.620302\pi\)
\(312\) 53.6022 1.98038i 0.171802 0.00634736i
\(313\) −22.7392 138.703i −0.0726491 0.443140i −0.997955 0.0639187i \(-0.979640\pi\)
0.925306 0.379221i \(-0.123808\pi\)
\(314\) 59.0794 + 268.400i 0.188151 + 0.854778i
\(315\) −895.941 79.6232i −2.84426 0.252772i
\(316\) 88.8676 + 9.66494i 0.281227 + 0.0305852i
\(317\) −469.331 318.214i −1.48054 1.00383i −0.991292 0.131686i \(-0.957961\pi\)
−0.489248 0.872145i \(-0.662729\pi\)
\(318\) −91.9174 + 29.2164i −0.289048 + 0.0918755i
\(319\) −9.81261 180.983i −0.0307605 0.567344i
\(320\) 40.9356 43.2152i 0.127924 0.135047i
\(321\) −149.594 + 419.916i −0.466024 + 1.30815i
\(322\) −22.5609 + 416.111i −0.0700648 + 1.29227i
\(323\) −64.9301 + 294.980i −0.201022 + 0.913252i
\(324\) −96.1214 130.402i −0.296671 0.402475i
\(325\) −181.893 + 61.2869i −0.559671 + 0.188575i
\(326\) 56.8617 258.325i 0.174422 0.792409i
\(327\) −377.952 + 167.012i −1.15582 + 0.510741i
\(328\) 70.7991 67.0644i 0.215851 0.204465i
\(329\) 612.559 646.671i 1.86188 1.96556i
\(330\) 80.3897 + 138.976i 0.243605 + 0.421140i
\(331\) 2.03067 12.3865i 0.00613494 0.0374215i −0.983582 0.180464i \(-0.942240\pi\)
0.989717 + 0.143042i \(0.0456885\pi\)
\(332\) −98.7540 66.9569i −0.297452 0.201677i
\(333\) 243.208 267.095i 0.730354 0.802086i
\(334\) −122.835 + 73.9073i −0.367769 + 0.221279i
\(335\) 139.898 + 635.565i 0.417607 + 1.89721i
\(336\) 129.977 95.3165i 0.386837 0.283680i
\(337\) 188.541 + 87.2284i 0.559469 + 0.258838i 0.679181 0.733971i \(-0.262335\pi\)
−0.119712 + 0.992809i \(0.538197\pi\)
\(338\) −175.838 + 48.8213i −0.520232 + 0.144442i
\(339\) 38.5486 79.6878i 0.113713 0.235067i
\(340\) −141.043 + 15.3393i −0.414832 + 0.0451157i
\(341\) 119.728 + 63.4756i 0.351107 + 0.186145i
\(342\) −100.206 + 390.590i −0.293000 + 1.14208i
\(343\) 296.137 1066.59i 0.863372 3.10959i
\(344\) −45.7882 38.8928i −0.133105 0.113061i
\(345\) 281.760 400.525i 0.816695 1.16094i
\(346\) −52.2067 76.9991i −0.150886 0.222541i
\(347\) 252.753 + 546.316i 0.728394 + 1.57440i 0.815873 + 0.578232i \(0.196257\pi\)
−0.0874784 + 0.996166i \(0.527881\pi\)
\(348\) 197.245 + 82.5569i 0.566797 + 0.237233i
\(349\) 73.5722 184.652i 0.210809 0.529090i −0.785109 0.619358i \(-0.787393\pi\)
0.995918 + 0.0902679i \(0.0287723\pi\)
\(350\) −349.046 + 459.162i −0.997273 + 1.31189i
\(351\) −130.355 110.174i −0.371382 0.313887i
\(352\) −27.2641 9.18633i −0.0774547 0.0260975i
\(353\) 118.581i 0.335923i 0.985794 + 0.167962i \(0.0537184\pi\)
−0.985794 + 0.167962i \(0.946282\pi\)
\(354\) −249.116 24.4827i −0.703716 0.0691602i
\(355\) −308.398 −0.868726
\(356\) −3.79582 + 11.2656i −0.0106624 + 0.0316449i
\(357\) −383.184 27.4066i −1.07335 0.0767692i
\(358\) 304.083 + 231.158i 0.849393 + 0.645692i
\(359\) 454.039 + 180.906i 1.26473 + 0.503916i 0.903511 0.428564i \(-0.140980\pi\)
0.361222 + 0.932480i \(0.382360\pi\)
\(360\) −188.892 + 13.9766i −0.524701 + 0.0388240i
\(361\) 583.314 269.870i 1.61583 0.747561i
\(362\) 18.8104 12.7538i 0.0519625 0.0352315i
\(363\) −164.211 + 233.428i −0.452373 + 0.643052i
\(364\) 109.936 129.426i 0.302021 0.355567i
\(365\) −257.155 71.3988i −0.704535 0.195613i
\(366\) −309.816 272.491i −0.846493 0.744511i
\(367\) 92.4704 174.418i 0.251963 0.475252i −0.724975 0.688775i \(-0.758149\pi\)
0.976938 + 0.213522i \(0.0684937\pi\)
\(368\) 9.48770 + 87.2379i 0.0257818 + 0.237060i
\(369\) −310.247 + 6.11036i −0.840776 + 0.0165592i
\(370\) −112.991 406.956i −0.305380 1.09988i
\(371\) −128.212 + 277.126i −0.345585 + 0.746969i
\(372\) −128.920 + 94.5413i −0.346559 + 0.254143i
\(373\) −139.246 + 30.6504i −0.373314 + 0.0821726i −0.397665 0.917531i \(-0.630179\pi\)
0.0243507 + 0.999703i \(0.492248\pi\)
\(374\) 35.3522 + 58.7559i 0.0945247 + 0.157101i
\(375\) 111.972 42.3922i 0.298591 0.113046i
\(376\) 105.261 155.249i 0.279951 0.412896i
\(377\) 222.312 + 36.4461i 0.589686 + 0.0966741i
\(378\) −510.003 54.1990i −1.34921 0.143384i
\(379\) 127.612 + 120.881i 0.336708 + 0.318947i 0.837308 0.546732i \(-0.184128\pi\)
−0.500599 + 0.865679i \(0.666887\pi\)
\(380\) 324.225 + 342.280i 0.853224 + 0.900738i
\(381\) 58.9751 26.0603i 0.154790 0.0683998i
\(382\) −7.89992 1.73890i −0.0206804 0.00455211i
\(383\) −56.8227 168.644i −0.148362 0.440323i 0.847543 0.530727i \(-0.178081\pi\)
−0.995905 + 0.0904035i \(0.971184\pi\)
\(384\) 23.7625 24.2351i 0.0618816 0.0631124i
\(385\) 496.406 + 109.267i 1.28937 + 0.283811i
\(386\) 333.353 + 18.0739i 0.863608 + 0.0468235i
\(387\) 24.4065 + 189.598i 0.0630659 + 0.489918i
\(388\) −110.180 104.368i −0.283968 0.268989i
\(389\) 251.340 13.6272i 0.646117 0.0350315i 0.271832 0.962345i \(-0.412371\pi\)
0.374286 + 0.927313i \(0.377888\pi\)
\(390\) −190.178 + 60.4492i −0.487637 + 0.154998i
\(391\) 117.373 173.112i 0.300187 0.442742i
\(392\) 40.1866 369.510i 0.102517 0.942628i
\(393\) 236.661 378.413i 0.602192 0.962884i
\(394\) −330.200 + 72.6825i −0.838070 + 0.184473i
\(395\) −328.186 + 53.8034i −0.830851 + 0.136211i
\(396\) 44.4652 + 80.0218i 0.112286 + 0.202075i
\(397\) −128.249 461.910i −0.323044 1.16350i −0.929634 0.368485i \(-0.879877\pi\)
0.606589 0.795015i \(-0.292537\pi\)
\(398\) −305.037 401.269i −0.766424 1.00821i
\(399\) 698.101 + 1068.83i 1.74963 + 2.67877i
\(400\) −56.8904 + 107.307i −0.142226 + 0.268267i
\(401\) 295.533 117.751i 0.736991 0.293644i 0.0287226 0.999587i \(-0.490856\pi\)
0.708268 + 0.705943i \(0.249477\pi\)
\(402\) 73.5115 + 363.717i 0.182865 + 0.904770i
\(403\) −109.042 + 128.374i −0.270574 + 0.318545i
\(404\) −18.5985 + 9.86030i −0.0460359 + 0.0244067i
\(405\) 474.358 + 371.787i 1.17125 + 0.917992i
\(406\) 614.383 284.244i 1.51326 0.700108i
\(407\) −155.582 + 132.152i −0.382265 + 0.324699i
\(408\) −80.5608 + 7.35900i −0.197453 + 0.0180368i
\(409\) −459.687 349.445i −1.12393 0.854389i −0.133315 0.991074i \(-0.542562\pi\)
−0.990615 + 0.136685i \(0.956355\pi\)
\(410\) −187.047 + 310.874i −0.456211 + 0.758229i
\(411\) 556.473 81.4065i 1.35395 0.198069i
\(412\) 373.912 0.907553
\(413\) −589.603 + 529.511i −1.42761 + 1.28211i
\(414\) 164.571 225.574i 0.397513 0.544866i
\(415\) 420.648 + 141.733i 1.01361 + 0.341525i
\(416\) 18.4358 30.6405i 0.0443168 0.0736551i
\(417\) −14.7825 + 81.3594i −0.0354495 + 0.195107i
\(418\) 84.3433 211.686i 0.201778 0.506425i
\(419\) −290.139 + 246.447i −0.692457 + 0.588178i −0.922961 0.384893i \(-0.874238\pi\)
0.230504 + 0.973071i \(0.425962\pi\)
\(420\) −371.065 + 471.050i −0.883489 + 1.12155i
\(421\) −126.805 187.023i −0.301199 0.444235i 0.646729 0.762720i \(-0.276136\pi\)
−0.947928 + 0.318485i \(0.896826\pi\)
\(422\) 77.7258 41.2076i 0.184184 0.0976484i
\(423\) −580.249 + 139.756i −1.37175 + 0.330393i
\(424\) −17.2019 + 61.9556i −0.0405705 + 0.146122i
\(425\) 268.919 107.147i 0.632749 0.252110i
\(426\) −175.821 3.03082i −0.412725 0.00711459i
\(427\) −1298.59 + 141.230i −3.04118 + 0.330749i
\(428\) 179.844 + 236.581i 0.420197 + 0.552760i
\(429\) 65.1116 + 71.1547i 0.151775 + 0.165862i
\(430\) 202.848 + 93.8475i 0.471740 + 0.218250i
\(431\) 624.258 102.342i 1.44840 0.237452i 0.614300 0.789073i \(-0.289439\pi\)
0.834095 + 0.551620i \(0.185990\pi\)
\(432\) −107.827 + 6.11187i −0.249599 + 0.0141478i
\(433\) −85.3857 + 51.3749i −0.197196 + 0.118649i −0.610727 0.791841i \(-0.709123\pi\)
0.413531 + 0.910490i \(0.364295\pi\)
\(434\) −54.7224 + 503.165i −0.126089 + 1.15937i
\(435\) −789.241 99.6269i −1.81435 0.229027i
\(436\) −44.5665 + 271.843i −0.102217 + 0.623494i
\(437\) −694.012 + 37.6282i −1.58813 + 0.0861058i
\(438\) −145.905 43.2325i −0.333117 0.0987043i
\(439\) −164.443 + 155.768i −0.374585 + 0.354826i −0.851713 0.524008i \(-0.824436\pi\)
0.477129 + 0.878834i \(0.341678\pi\)
\(440\) 106.877 + 5.79473i 0.242903 + 0.0131698i
\(441\) −886.162 + 783.270i −2.00944 + 1.77612i
\(442\) −80.7679 + 27.2139i −0.182733 + 0.0615698i
\(443\) −177.707 527.416i −0.401145 1.19056i −0.937926 0.346835i \(-0.887256\pi\)
0.536781 0.843722i \(-0.319640\pi\)
\(444\) −60.4178 233.120i −0.136076 0.525046i
\(445\) 2.39440 44.1621i 0.00538067 0.0992406i
\(446\) 131.905 + 139.251i 0.295752 + 0.312222i
\(447\) 593.883 + 175.970i 1.32860 + 0.393670i
\(448\) −5.81744 107.296i −0.0129854 0.239501i
\(449\) −35.9120 5.88748i −0.0799823 0.0131124i 0.121658 0.992572i \(-0.461179\pi\)
−0.201640 + 0.979460i \(0.564627\pi\)
\(450\) 363.735 130.587i 0.808300 0.290193i
\(451\) 174.326 + 18.9591i 0.386532 + 0.0420378i
\(452\) −30.4252 50.5671i −0.0673124 0.111874i
\(453\) 58.2778 + 71.0565i 0.128648 + 0.156858i
\(454\) −28.0806 171.284i −0.0618516 0.377278i
\(455\) −265.272 + 573.377i −0.583016 + 1.26017i
\(456\) 181.480 + 198.324i 0.397983 + 0.434921i
\(457\) 220.039 167.270i 0.481487 0.366017i −0.336096 0.941828i \(-0.609107\pi\)
0.817583 + 0.575811i \(0.195314\pi\)
\(458\) −49.5357 455.474i −0.108157 0.994484i
\(459\) 205.304 + 155.274i 0.447286 + 0.338288i
\(460\) −120.838 303.282i −0.262692 0.659308i
\(461\) 238.946 + 66.3431i 0.518321 + 0.143911i 0.516831 0.856088i \(-0.327112\pi\)
0.00149074 + 0.999999i \(0.499525\pi\)
\(462\) 281.933 + 67.1729i 0.610244 + 0.145396i
\(463\) 219.384 + 413.802i 0.473832 + 0.893741i 0.999084 + 0.0427947i \(0.0136261\pi\)
−0.525252 + 0.850947i \(0.676029\pi\)
\(464\) 117.987 79.9975i 0.254283 0.172408i
\(465\) 368.047 467.219i 0.791499 1.00477i
\(466\) −218.392 257.110i −0.468652 0.551739i
\(467\) 11.7052 + 4.66376i 0.0250646 + 0.00998664i 0.382637 0.923899i \(-0.375016\pi\)
−0.357572 + 0.933886i \(0.616395\pi\)
\(468\) −109.017 + 32.5937i −0.232942 + 0.0696447i
\(469\) 1006.61 + 605.659i 2.14630 + 1.29138i
\(470\) −222.815 + 661.293i −0.474075 + 1.40701i
\(471\) −264.161 519.712i −0.560851 1.10342i
\(472\) −104.483 + 130.121i −0.221361 + 0.275680i
\(473\) 108.026i 0.228384i
\(474\) −187.631 + 27.4486i −0.395846 + 0.0579084i
\(475\) −824.267 495.945i −1.73530 1.04410i
\(476\) −154.990 + 203.886i −0.325610 + 0.428333i
\(477\) 173.201 108.914i 0.363105 0.228330i
\(478\) −191.287 225.200i −0.400181 0.471130i
\(479\) −301.415 651.499i −0.629260 1.36012i −0.915637 0.402006i \(-0.868313\pi\)
0.286378 0.958117i \(-0.407549\pi\)
\(480\) −61.0612 + 110.527i −0.127211 + 0.230265i
\(481\) −118.846 224.166i −0.247080 0.466042i
\(482\) −417.869 354.941i −0.866949 0.736393i
\(483\) −175.126 866.480i −0.362579 1.79395i
\(484\) 70.4253 + 176.754i 0.145507 + 0.365195i
\(485\) 498.842 + 264.469i 1.02854 + 0.545297i
\(486\) 266.783 + 216.621i 0.548936 + 0.445723i
\(487\) −132.994 + 101.099i −0.273088 + 0.207596i −0.732750 0.680498i \(-0.761764\pi\)
0.459662 + 0.888094i \(0.347970\pi\)
\(488\) −265.039 + 73.5878i −0.543114 + 0.150795i
\(489\) 20.7165 + 560.727i 0.0423650 + 1.14668i
\(490\) 223.714 + 1364.59i 0.456558 + 2.78488i
\(491\) −105.883 481.029i −0.215647 0.979693i −0.952713 0.303872i \(-0.901720\pi\)
0.737066 0.675821i \(-0.236211\pi\)
\(492\) −109.693 + 175.394i −0.222952 + 0.356493i
\(493\) −337.767 36.7344i −0.685125 0.0745119i
\(494\) 234.423 + 158.943i 0.474541 + 0.321746i
\(495\) −239.041 242.601i −0.482912 0.490102i
\(496\) 5.77013 + 106.424i 0.0116333 + 0.214564i
\(497\) −382.851 + 404.171i −0.770324 + 0.813221i
\(498\) 238.423 + 84.9375i 0.478762 + 0.170557i
\(499\) −5.39225 + 99.4543i −0.0108061 + 0.199307i 0.988145 + 0.153522i \(0.0490617\pi\)
−0.998951 + 0.0457850i \(0.985421\pi\)
\(500\) 17.1586 77.9524i 0.0343173 0.155905i
\(501\) 212.905 217.140i 0.424960 0.433412i
\(502\) −369.808 + 124.603i −0.736669 + 0.248213i
\(503\) 158.837 721.603i 0.315779 1.43460i −0.504885 0.863187i \(-0.668465\pi\)
0.820664 0.571411i \(-0.193604\pi\)
\(504\) −216.178 + 264.904i −0.428924 + 0.525603i
\(505\) 56.8567 53.8575i 0.112588 0.106649i
\(506\) −108.512 + 114.555i −0.214451 + 0.226393i
\(507\) 335.097 193.834i 0.660941 0.382317i
\(508\) 6.95407 42.4180i 0.0136891 0.0835000i
\(509\) 124.551 + 84.4477i 0.244698 + 0.165909i 0.677371 0.735642i \(-0.263119\pi\)
−0.432673 + 0.901551i \(0.642430\pi\)
\(510\) 281.464 106.562i 0.551891 0.208945i
\(511\) −412.810 + 248.379i −0.807847 + 0.486065i
\(512\) −4.86423 22.0984i −0.00950044 0.0431609i
\(513\) −2.10107 855.398i −0.00409564 1.66744i
\(514\) −35.7875 16.5571i −0.0696256 0.0322122i
\(515\) −1340.37 + 372.153i −2.60267 + 0.722627i
\(516\) 114.724 + 55.4970i 0.222333 + 0.107552i
\(517\) 335.297 36.4657i 0.648543 0.0705334i
\(518\) −673.605 357.123i −1.30040 0.689427i
\(519\) 148.184 + 130.331i 0.285518 + 0.251120i
\(520\) −35.5910 + 128.187i −0.0684442 + 0.246514i
\(521\) −113.963 96.8010i −0.218739 0.185798i 0.531317 0.847173i \(-0.321697\pi\)
−0.750056 + 0.661375i \(0.769973\pi\)
\(522\) −448.976 64.5547i −0.860107 0.123668i
\(523\) 145.086 + 213.987i 0.277412 + 0.409152i 0.940715 0.339199i \(-0.110156\pi\)
−0.663303 + 0.748351i \(0.730846\pi\)
\(524\) −124.938 270.049i −0.238431 0.515360i
\(525\) 472.391 1128.64i 0.899792 2.14979i
\(526\) −89.2863 + 224.092i −0.169746 + 0.426030i
\(527\) 153.730 202.228i 0.291707 0.383734i
\(528\) 60.8751 + 4.35399i 0.115294 + 0.00824619i
\(529\) −45.2224 15.2372i −0.0854866 0.0288038i
\(530\) 239.215i 0.451349i
\(531\) 524.583 82.3046i 0.987915 0.154999i
\(532\) 851.075 1.59977
\(533\) −69.5925 + 206.543i −0.130567 + 0.387510i
\(534\) 1.79908 25.1537i 0.00336906 0.0471044i
\(535\) −880.162 669.081i −1.64516 1.25062i
\(536\) 229.811 + 91.5652i 0.428753 + 0.170831i
\(537\) −747.448 312.844i −1.39190 0.582577i
\(538\) 171.924 79.5407i 0.319562 0.147845i
\(539\) 553.182 375.067i 1.02631 0.695856i
\(540\) 380.447 129.229i 0.704532 0.239313i
\(541\) 441.282 519.517i 0.815678 0.960290i −0.184066 0.982914i \(-0.558926\pi\)
0.999744 + 0.0226239i \(0.00720202\pi\)
\(542\) −118.765 32.9749i −0.219124 0.0608393i
\(543\) −31.8392 + 36.2005i −0.0586358 + 0.0666676i
\(544\) −25.2616 + 47.6485i −0.0464368 + 0.0875892i
\(545\) −110.806 1018.84i −0.203313 1.86944i
\(546\) −156.870 + 324.281i −0.287307 + 0.593922i
\(547\) −103.380 372.341i −0.188994 0.680696i −0.995936 0.0900647i \(-0.971293\pi\)
0.806942 0.590631i \(-0.201121\pi\)
\(548\) 157.429 340.278i 0.287280 0.620945i
\(549\) 781.220 + 394.669i 1.42299 + 0.718888i
\(550\) −213.285 + 46.9477i −0.387792 + 0.0853594i
\(551\) 582.087 + 967.437i 1.05642 + 1.75578i
\(552\) −65.9108 174.092i −0.119404 0.315383i
\(553\) −336.905 + 496.897i −0.609231 + 0.898549i
\(554\) 569.903 + 93.4308i 1.02871 + 0.168648i
\(555\) 448.605 + 775.540i 0.808298 + 1.39737i
\(556\) 40.0224 + 37.9112i 0.0719828 + 0.0681857i
\(557\) −382.176 403.459i −0.686134 0.724343i 0.286140 0.958188i \(-0.407628\pi\)
−0.972274 + 0.233845i \(0.924869\pi\)
\(558\) 214.419 262.749i 0.384264 0.470877i
\(559\) 131.129 + 28.8637i 0.234578 + 0.0516345i
\(560\) 127.646 + 378.839i 0.227939 + 0.676498i
\(561\) −103.865 101.839i −0.185142 0.181532i
\(562\) 674.926 + 148.562i 1.20094 + 0.264346i
\(563\) 874.336 + 47.4051i 1.55299 + 0.0842009i 0.810535 0.585691i \(-0.199177\pi\)
0.742459 + 0.669891i \(0.233659\pi\)
\(564\) −133.528 + 374.820i −0.236753 + 0.664575i
\(565\) 159.395 + 150.987i 0.282116 + 0.267234i
\(566\) 105.136 5.70033i 0.185753 0.0100713i
\(567\) 1076.12 160.127i 1.89792 0.282411i
\(568\) −65.7887 + 97.0311i −0.115825 + 0.170829i
\(569\) −34.9070 + 320.965i −0.0613480 + 0.564086i 0.922616 + 0.385720i \(0.126047\pi\)
−0.983964 + 0.178366i \(0.942919\pi\)
\(570\) −847.950 530.312i −1.48763 0.930372i
\(571\) −974.578 + 214.521i −1.70679 + 0.375693i −0.957923 0.287026i \(-0.907333\pi\)
−0.748868 + 0.662719i \(0.769402\pi\)
\(572\) 63.4526 10.4025i 0.110931 0.0181862i
\(573\) 17.1477 0.633537i 0.0299263 0.00110565i
\(574\) 175.213 + 631.060i 0.305249 + 1.09941i
\(575\) 403.119 + 530.294i 0.701077 + 0.922250i
\(576\) −35.8978 + 62.4127i −0.0623227 + 0.108355i
\(577\) 133.189 251.220i 0.230830 0.435391i −0.740858 0.671662i \(-0.765581\pi\)
0.971687 + 0.236271i \(0.0759255\pi\)
\(578\) −260.269 + 103.701i −0.450293 + 0.179413i
\(579\) −694.151 + 140.296i −1.19888 + 0.242307i
\(580\) −343.332 + 404.202i −0.591952 + 0.696900i
\(581\) 707.950 375.331i 1.21850 0.646009i
\(582\) 281.796 + 155.679i 0.484186 + 0.267490i
\(583\) −104.933 + 48.5470i −0.179987 + 0.0832709i
\(584\) −77.3216 + 65.6776i −0.132400 + 0.112462i
\(585\) 358.356 225.344i 0.612574 0.385203i
\(586\) 66.4277 + 50.4970i 0.113358 + 0.0861724i
\(587\) 309.296 514.054i 0.526909 0.875730i −0.473077 0.881021i \(-0.656857\pi\)
0.999986 + 0.00529111i \(0.00168422\pi\)
\(588\) 114.131 + 780.167i 0.194100 + 1.32682i
\(589\) −844.153 −1.43320
\(590\) 245.033 570.439i 0.415310 0.966846i
\(591\) 639.376 324.984i 1.08185 0.549888i
\(592\) −152.144 51.2633i −0.257000 0.0865934i
\(593\) 86.2975 143.428i 0.145527 0.241868i −0.775517 0.631327i \(-0.782511\pi\)
0.921044 + 0.389459i \(0.127338\pi\)
\(594\) −133.896 140.658i −0.225414 0.236799i
\(595\) 352.672 885.139i 0.592725 1.48763i
\(596\) 314.725 267.330i 0.528061 0.448539i
\(597\) 839.941 + 661.656i 1.40694 + 1.10830i
\(598\) −110.061 162.328i −0.184049 0.271452i
\(599\) 407.950 216.281i 0.681052 0.361071i −0.0916934 0.995787i \(-0.529228\pi\)
0.772745 + 0.634717i \(0.218883\pi\)
\(600\) 59.7145 250.629i 0.0995241 0.417714i
\(601\) −158.555 + 571.063i −0.263818 + 0.950188i 0.706371 + 0.707842i \(0.250331\pi\)
−0.970190 + 0.242347i \(0.922083\pi\)
\(602\) 374.812 149.339i 0.622611 0.248071i
\(603\) −344.524 707.762i −0.571351 1.17374i
\(604\) 60.9065 6.62398i 0.100839 0.0109669i
\(605\) −428.379 563.522i −0.708064 0.931442i
\(606\) 32.9439 30.1460i 0.0543629 0.0497459i
\(607\) 657.352 + 304.124i 1.08295 + 0.501027i 0.878448 0.477838i \(-0.158580\pi\)
0.204505 + 0.978866i \(0.434442\pi\)
\(608\) 176.857 28.9942i 0.290883 0.0476878i
\(609\) −1110.35 + 910.662i −1.82323 + 1.49534i
\(610\) 876.854 527.585i 1.43746 0.864894i
\(611\) −45.3243 + 416.750i −0.0741806 + 0.682079i
\(612\) 161.513 57.9859i 0.263910 0.0947483i
\(613\) 124.701 760.641i 0.203427 1.24085i −0.665684 0.746234i \(-0.731860\pi\)
0.869111 0.494617i \(-0.164692\pi\)
\(614\) −147.489 + 7.99663i −0.240210 + 0.0130238i
\(615\) 218.649 737.919i 0.355527 1.19987i
\(616\) 140.274 132.875i 0.227718 0.215706i
\(617\) −785.210 42.5729i −1.27263 0.0689998i −0.594590 0.804029i \(-0.702686\pi\)
−0.678036 + 0.735029i \(0.737169\pi\)
\(618\) −767.819 + 198.996i −1.24242 + 0.321999i
\(619\) 301.995 101.754i 0.487876 0.164384i −0.0646038 0.997911i \(-0.520578\pi\)
0.552479 + 0.833527i \(0.313682\pi\)
\(620\) −126.607 375.757i −0.204206 0.606060i
\(621\) −217.891 + 550.796i −0.350871 + 0.886950i
\(622\) 28.7739 530.704i 0.0462603 0.853221i
\(623\) −54.9042 57.9617i −0.0881287 0.0930364i
\(624\) −21.5506 + 72.7311i −0.0345362 + 0.116556i
\(625\) −25.0197 461.462i −0.0400316 0.738339i
\(626\) 196.155 + 32.1580i 0.313347 + 0.0513707i
\(627\) −60.5379 + 479.579i −0.0965516 + 0.764879i
\(628\) −386.384 42.0218i −0.615261 0.0669137i
\(629\) 197.279 + 327.881i 0.313639 + 0.521273i
\(630\) 511.281 1164.77i 0.811557 1.84884i
\(631\) 114.477 + 698.280i 0.181422 + 1.10663i 0.907823 + 0.419354i \(0.137743\pi\)
−0.726401 + 0.687271i \(0.758808\pi\)
\(632\) −53.0819 + 114.735i −0.0839904 + 0.181542i
\(633\) −137.677 + 125.985i −0.217500 + 0.199028i
\(634\) 638.397 485.297i 1.00694 0.765452i
\(635\) 17.2899 + 158.978i 0.0272283 + 0.250360i
\(636\) 2.35092 136.379i 0.00369641 0.214433i
\(637\) 307.476 + 771.706i 0.482694 + 1.21147i
\(638\) 246.981 + 68.5740i 0.387118 + 0.107483i
\(639\) 362.657 87.3481i 0.567538 0.136695i
\(640\) 39.4314 + 74.3755i 0.0616115 + 0.116212i
\(641\) −137.709 + 93.3691i −0.214835 + 0.145662i −0.663858 0.747858i \(-0.731082\pi\)
0.449024 + 0.893520i \(0.351772\pi\)
\(642\) −495.214 390.101i −0.771362 0.607633i
\(643\) 657.902 + 774.542i 1.02318 + 1.20458i 0.978643 + 0.205568i \(0.0659042\pi\)
0.0445332 + 0.999008i \(0.485820\pi\)
\(644\) −547.477 218.135i −0.850120 0.338719i
\(645\) −466.489 84.7580i −0.723239 0.131408i
\(646\) −366.008 220.220i −0.566576 0.340897i
\(647\) 137.958 409.446i 0.213228 0.632837i −0.786653 0.617395i \(-0.788188\pi\)
0.999881 0.0154420i \(-0.00491555\pi\)
\(648\) 218.167 69.9360i 0.336678 0.107926i
\(649\) −299.953 + 8.28178i −0.462177 + 0.0127608i
\(650\) 271.445i 0.417608i
\(651\) −155.413 1062.36i −0.238729 1.63189i
\(652\) 320.527 + 192.855i 0.491606 + 0.295789i
\(653\) −250.350 + 329.329i −0.383384 + 0.504333i −0.946792 0.321846i \(-0.895697\pi\)
0.563408 + 0.826179i \(0.309490\pi\)
\(654\) −53.1588 581.942i −0.0812825 0.889820i
\(655\) 716.646 + 843.701i 1.09412 + 1.28809i
\(656\) 57.9086 + 125.167i 0.0882753 + 0.190804i
\(657\) 322.621 + 11.1261i 0.491052 + 0.0169346i
\(658\) 590.050 + 1112.95i 0.896733 + 1.69142i
\(659\) 773.365 + 656.902i 1.17354 + 0.996817i 0.999928 + 0.0120029i \(0.00382074\pi\)
0.173615 + 0.984814i \(0.444455\pi\)
\(660\) −222.554 + 44.9808i −0.337203 + 0.0681528i
\(661\) 100.248 + 251.603i 0.151661 + 0.380640i 0.985103 0.171967i \(-0.0550123\pi\)
−0.833442 + 0.552607i \(0.813633\pi\)
\(662\) 15.6832 + 8.31473i 0.0236907 + 0.0125600i
\(663\) 151.372 98.8677i 0.228313 0.149122i
\(664\) 134.328 102.113i 0.202301 0.153785i
\(665\) −3050.88 + 847.072i −4.58779 + 1.27379i
\(666\) 248.133 + 446.553i 0.372572 + 0.670499i
\(667\) −126.485 771.522i −0.189632 1.15670i
\(668\) −43.5820 197.995i −0.0652425 0.296400i
\(669\) −344.974 215.748i −0.515656 0.322494i
\(670\) −914.947 99.5065i −1.36559 0.148517i
\(671\) −409.378 277.565i −0.610102 0.413659i
\(672\) 69.0491 + 217.235i 0.102752 + 0.323266i
\(673\) 27.6545 + 510.057i 0.0410914 + 0.757886i 0.944381 + 0.328854i \(0.106662\pi\)
−0.903289 + 0.429032i \(0.858855\pi\)
\(674\) −202.040 + 213.291i −0.299762 + 0.316455i
\(675\) −677.423 + 461.737i −1.00359 + 0.684055i
\(676\) 13.9722 257.702i 0.0206689 0.381215i
\(677\) 91.2257 414.443i 0.134750 0.612175i −0.860040 0.510227i \(-0.829561\pi\)
0.994790 0.101948i \(-0.0325076\pi\)
\(678\) 89.3892 + 87.6460i 0.131843 + 0.129271i
\(679\) 965.873 325.440i 1.42249 0.479294i
\(680\) 43.1318 195.950i 0.0634292 0.288162i
\(681\) 148.820 + 336.784i 0.218532 + 0.494543i
\(682\) −139.133 + 131.794i −0.204008 + 0.193246i
\(683\) −195.604 + 206.496i −0.286389 + 0.302337i −0.853277 0.521458i \(-0.825388\pi\)
0.566888 + 0.823795i \(0.308147\pi\)
\(684\) −478.214 310.670i −0.699143 0.454196i
\(685\) −225.665 + 1376.49i −0.329437 + 2.00948i
\(686\) 1295.70 + 878.507i 1.88878 + 1.28062i
\(687\) 344.123 + 908.941i 0.500907 + 1.32306i
\(688\) 72.7997 43.8021i 0.105813 0.0636658i
\(689\) −30.8925 140.346i −0.0448367 0.203695i
\(690\) 409.545 + 558.471i 0.593544 + 0.809378i
\(691\) 545.360 + 252.310i 0.789232 + 0.365138i 0.772737 0.634726i \(-0.218887\pi\)
0.0164953 + 0.999864i \(0.494749\pi\)
\(692\) 126.767 35.1968i 0.183190 0.0508624i
\(693\) −614.691 + 12.1064i −0.887000 + 0.0174696i
\(694\) −846.297 + 92.0404i −1.21945 + 0.132623i
\(695\) −181.203 96.0675i −0.260723 0.138227i
\(696\) −199.710 + 227.066i −0.286939 + 0.326244i
\(697\) 87.9387 316.727i 0.126167 0.454414i
\(698\) 214.246 + 181.982i 0.306942 + 0.260719i
\(699\) 585.296 + 411.742i 0.837333 + 0.589045i
\(700\) −457.746 675.125i −0.653923 0.964464i
\(701\) 298.940 + 646.148i 0.426448 + 0.921752i 0.995072 + 0.0991548i \(0.0316139\pi\)
−0.568624 + 0.822598i \(0.692524\pi\)
\(702\) 206.517 124.949i 0.294184 0.177990i
\(703\) 470.668 1181.29i 0.669514 1.68035i
\(704\) 24.6228 32.3907i 0.0349755 0.0460095i
\(705\) 105.606 1476.53i 0.149796 2.09437i
\(706\) −158.920 53.5464i −0.225099 0.0758448i
\(707\) 141.373i 0.199962i
\(708\) 145.302 322.805i 0.205229 0.455940i
\(709\) 267.826 0.377751 0.188876 0.982001i \(-0.439516\pi\)
0.188876 + 0.982001i \(0.439516\pi\)
\(710\) 139.260 413.310i 0.196141 0.582126i
\(711\) 370.688 156.222i 0.521362 0.219722i
\(712\) −13.3839 10.1742i −0.0187976 0.0142896i
\(713\) 543.024 + 216.361i 0.761605 + 0.303451i
\(714\) 209.761 501.162i 0.293783 0.701907i
\(715\) −217.107 + 100.444i −0.303646 + 0.140482i
\(716\) −447.105 + 303.145i −0.624449 + 0.423387i
\(717\) 512.654 + 360.640i 0.714999 + 0.502985i
\(718\) −447.473 + 526.806i −0.623222 + 0.733713i
\(719\) 318.223 + 88.3543i 0.442592 + 0.122885i 0.481673 0.876351i \(-0.340029\pi\)
−0.0390813 + 0.999236i \(0.512443\pi\)
\(720\) 66.5651 259.462i 0.0924515 0.360364i
\(721\) −1176.24 + 2218.63i −1.63140 + 3.07715i
\(722\) 98.2735 + 903.610i 0.136113 + 1.25154i
\(723\) 1046.98 + 506.474i 1.44811 + 0.700517i
\(724\) 8.59838 + 30.9686i 0.0118762 + 0.0427742i
\(725\) 454.357 982.077i 0.626700 1.35459i
\(726\) −238.685 325.480i −0.328767 0.448320i
\(727\) 570.290 125.530i 0.784442 0.172669i 0.195349 0.980734i \(-0.437416\pi\)
0.589093 + 0.808065i \(0.299485\pi\)
\(728\) 123.812 + 205.778i 0.170072 + 0.282662i
\(729\) −663.118 302.845i −0.909627 0.415426i
\(730\) 211.809 312.394i 0.290149 0.427938i
\(731\) −199.831 32.7607i −0.273367 0.0448162i
\(732\) 505.089 292.165i 0.690012 0.399132i
\(733\) −240.114 227.448i −0.327578 0.310298i 0.506181 0.862427i \(-0.331057\pi\)
−0.833758 + 0.552129i \(0.813815\pi\)
\(734\) 191.996 + 202.687i 0.261575 + 0.276141i
\(735\) −1185.63 2683.10i −1.61310 3.65047i
\(736\) −121.199 26.6779i −0.164673 0.0362472i
\(737\) 142.033 + 421.539i 0.192718 + 0.571966i
\(738\) 131.906 418.547i 0.178735 0.567136i
\(739\) 601.570 + 132.416i 0.814032 + 0.179182i 0.602428 0.798173i \(-0.294200\pi\)
0.211604 + 0.977355i \(0.432131\pi\)
\(740\) 596.418 + 32.3368i 0.805970 + 0.0436984i
\(741\) −565.971 201.625i −0.763794 0.272099i
\(742\) −313.504 296.967i −0.422512 0.400224i
\(743\) 1333.13 72.2802i 1.79425 0.0972815i 0.873354 0.487085i \(-0.161940\pi\)
0.920898 + 0.389804i \(0.127457\pi\)
\(744\) −68.4875 215.468i −0.0920531 0.289607i
\(745\) −862.131 + 1271.55i −1.15722 + 1.70678i
\(746\) 21.8009 200.456i 0.0292237 0.268708i
\(747\) −534.800 47.5282i −0.715931 0.0636255i
\(748\) −94.7074 + 20.8467i −0.126614 + 0.0278699i
\(749\) −1969.52 + 322.886i −2.62953 + 0.431089i
\(750\) 6.25142 + 169.205i 0.00833523 + 0.225607i
\(751\) 309.320 + 1114.07i 0.411878 + 1.48345i 0.820978 + 0.570960i \(0.193429\pi\)
−0.409100 + 0.912490i