Properties

Label 177.4.e.a.7.1
Level $177$
Weight $4$
Character 177.7
Analytic conductor $10.443$
Analytic rank $0$
Dimension $420$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(420\)
Relative dimension: \(15\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 7.1
Character \(\chi\) \(=\) 177.7
Dual form 177.4.e.a.76.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.99760 - 4.42113i) q^{2} +(-0.162417 + 2.99560i) q^{3} +(-7.59966 + 19.0737i) q^{4} +(-18.0173 + 8.33567i) q^{5} +(13.7308 - 8.26154i) q^{6} +(-1.41944 + 5.11237i) q^{7} +(65.3749 - 14.3901i) q^{8} +(-8.94724 - 0.973071i) q^{9} +O(q^{10})\) \(q+(-2.99760 - 4.42113i) q^{2} +(-0.162417 + 2.99560i) q^{3} +(-7.59966 + 19.0737i) q^{4} +(-18.0173 + 8.33567i) q^{5} +(13.7308 - 8.26154i) q^{6} +(-1.41944 + 5.11237i) q^{7} +(65.3749 - 14.3901i) q^{8} +(-8.94724 - 0.973071i) q^{9} +(90.8616 + 54.6696i) q^{10} +(-45.4443 + 43.0471i) q^{11} +(-55.9029 - 25.8634i) q^{12} +(60.9006 - 6.62333i) q^{13} +(26.8574 - 9.04930i) q^{14} +(-22.0440 - 55.3264i) q^{15} +(-140.339 - 132.936i) q^{16} +(-27.8867 - 100.439i) q^{17} +(22.5182 + 42.4738i) q^{18} +(-92.9384 + 70.6499i) q^{19} +(-22.0671 - 407.004i) q^{20} +(-15.0841 - 5.08242i) q^{21} +(326.540 + 71.8770i) q^{22} +(24.4179 - 46.0571i) q^{23} +(32.4890 + 198.174i) q^{24} +(174.215 - 205.102i) q^{25} +(-211.838 - 249.395i) q^{26} +(4.36811 - 26.6443i) q^{27} +(-86.7246 - 65.9263i) q^{28} +(-49.9476 + 73.6671i) q^{29} +(-178.526 + 263.306i) q^{30} +(41.2375 + 31.3479i) q^{31} +(-80.4105 + 490.482i) q^{32} +(-121.571 - 143.124i) q^{33} +(-360.460 + 424.366i) q^{34} +(-17.0406 - 103.943i) q^{35} +(86.5561 - 163.262i) q^{36} +(52.0584 + 11.4589i) q^{37} +(590.944 + 199.112i) q^{38} +(9.94959 + 183.509i) q^{39} +(-1057.92 + 804.213i) q^{40} +(-4.82417 - 9.09935i) q^{41} +(22.7460 + 81.9237i) q^{42} +(-189.422 - 179.430i) q^{43} +(-475.707 - 1193.93i) q^{44} +(169.316 - 57.0492i) q^{45} +(-276.819 + 30.1059i) q^{46} +(33.2655 + 15.3902i) q^{47} +(421.017 - 398.809i) q^{48} +(269.780 + 162.322i) q^{49} +(-1429.01 - 155.414i) q^{50} +(305.404 - 67.2244i) q^{51} +(-336.492 + 1211.93i) q^{52} +(434.325 - 261.324i) q^{53} +(-130.892 + 60.5570i) q^{54} +(459.955 - 1154.40i) q^{55} +(-19.2284 + 354.646i) q^{56} +(-196.544 - 289.881i) q^{57} +475.414 q^{58} +(405.915 + 201.525i) q^{59} +1222.81 q^{60} +(-108.379 - 159.847i) q^{61} +(14.9797 - 276.284i) q^{62} +(17.6748 - 44.3604i) q^{63} +(1006.01 - 465.428i) q^{64} +(-1042.05 + 626.981i) q^{65} +(-268.350 + 966.510i) q^{66} +(-530.668 + 116.809i) q^{67} +(2127.67 + 231.398i) q^{68} +(134.003 + 80.6267i) q^{69} +(-408.464 + 386.918i) q^{70} +(-391.946 - 181.333i) q^{71} +(-598.927 + 65.1373i) q^{72} +(608.772 - 205.119i) q^{73} +(-105.389 - 264.506i) q^{74} +(586.107 + 555.190i) q^{75} +(-641.256 - 2309.60i) q^{76} +(-155.567 - 293.431i) q^{77} +(781.494 - 594.076i) q^{78} +(-48.0592 - 886.399i) q^{79} +(3636.64 + 1225.33i) q^{80} +(79.1063 + 17.4126i) q^{81} +(-25.7685 + 48.6045i) q^{82} +(-66.6520 - 406.559i) q^{83} +(211.574 - 249.085i) q^{84} +(1339.67 + 1577.18i) q^{85} +(-225.472 + 1375.32i) q^{86} +(-212.565 - 161.588i) q^{87} +(-2351.46 + 3468.14i) q^{88} +(306.390 - 451.891i) q^{89} +(-759.763 - 577.557i) q^{90} +(-52.5839 + 320.748i) q^{91} +(692.911 + 815.758i) q^{92} +(-100.603 + 118.439i) q^{93} +(-31.6743 - 193.205i) q^{94} +(1085.58 - 2047.62i) q^{95} +(-1456.23 - 320.540i) q^{96} +(-593.985 - 200.137i) q^{97} +(-91.0495 - 1679.31i) q^{98} +(448.489 - 340.932i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 420q - 2q^{2} + 45q^{3} - 64q^{4} + 14q^{5} + 6q^{6} + 6q^{7} + 18q^{8} - 135q^{9} + O(q^{10}) \) \( 420q - 2q^{2} + 45q^{3} - 64q^{4} + 14q^{5} + 6q^{6} + 6q^{7} + 18q^{8} - 135q^{9} + 854q^{10} + 32q^{11} + 192q^{12} - 22q^{13} - 884q^{14} - 42q^{15} - 268q^{16} - 56q^{17} - 18q^{18} - 112q^{19} - 250q^{20} + 243q^{21} + 108q^{22} + 16q^{23} - 54q^{24} - 197q^{25} - 328q^{26} + 405q^{27} + 236q^{28} - 54q^{29} - 126q^{30} + 66q^{31} + 857q^{32} - 96q^{33} + 112q^{34} + 532q^{35} - 576q^{36} + 110q^{37} + 56q^{38} + 66q^{39} - 6044q^{40} + 304q^{41} - 306q^{42} - 324q^{43} - 568q^{44} + 126q^{45} + 5842q^{46} + 4082q^{47} + 804q^{48} + 739q^{49} + 576q^{50} + 168q^{51} - 1372q^{52} - 1498q^{53} + 54q^{54} - 4422q^{55} - 12036q^{56} + 336q^{57} + 6298q^{58} - 3305q^{59} + 750q^{60} - 1718q^{61} - 4333q^{62} + 54q^{63} - 6250q^{64} - 5884q^{65} - 324q^{66} + 382q^{67} + 734q^{68} + 3780q^{69} + 8082q^{70} + 8638q^{71} + 162q^{72} + 8894q^{73} + 12428q^{74} + 243q^{75} - 15468q^{76} - 9916q^{77} + 984q^{78} - 578q^{79} + 24570q^{80} - 1215q^{81} - 1382q^{82} - 32q^{83} + 7557q^{84} + 708q^{85} + 2296q^{86} - 5928q^{87} - 17646q^{88} - 2284q^{89} + 378q^{90} + 11124q^{91} + 762q^{92} - 198q^{93} - 1232q^{94} + 24184q^{95} - 396q^{96} - 658q^{97} - 4356q^{98} + 288q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{9}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.99760 4.42113i −1.05981 1.56310i −0.802385 0.596806i \(-0.796436\pi\)
−0.257426 0.966298i \(-0.582874\pi\)
\(3\) −0.162417 + 2.99560i −0.0312571 + 0.576504i
\(4\) −7.59966 + 19.0737i −0.949958 + 2.38421i
\(5\) −18.0173 + 8.33567i −1.61151 + 0.745565i −0.998992 0.0448893i \(-0.985706\pi\)
−0.612521 + 0.790455i \(0.709844\pi\)
\(6\) 13.7308 8.26154i 0.934262 0.562127i
\(7\) −1.41944 + 5.11237i −0.0766427 + 0.276042i −0.991935 0.126748i \(-0.959546\pi\)
0.915292 + 0.402791i \(0.131960\pi\)
\(8\) 65.3749 14.3901i 2.88919 0.635958i
\(9\) −8.94724 0.973071i −0.331379 0.0360397i
\(10\) 90.8616 + 54.6696i 2.87330 + 1.72880i
\(11\) −45.4443 + 43.0471i −1.24563 + 1.17993i −0.269441 + 0.963017i \(0.586839\pi\)
−0.976192 + 0.216909i \(0.930403\pi\)
\(12\) −55.9029 25.8634i −1.34482 0.622178i
\(13\) 60.9006 6.62333i 1.29929 0.141306i 0.567805 0.823163i \(-0.307793\pi\)
0.731486 + 0.681857i \(0.238827\pi\)
\(14\) 26.8574 9.04930i 0.512709 0.172752i
\(15\) −22.0440 55.3264i −0.379450 0.952347i
\(16\) −140.339 132.936i −2.19280 2.07713i
\(17\) −27.8867 100.439i −0.397854 1.43294i −0.843209 0.537586i \(-0.819336\pi\)
0.445355 0.895354i \(-0.353077\pi\)
\(18\) 22.5182 + 42.4738i 0.294866 + 0.556176i
\(19\) −92.9384 + 70.6499i −1.12219 + 0.853063i −0.990402 0.138215i \(-0.955863\pi\)
−0.131783 + 0.991279i \(0.542070\pi\)
\(20\) −22.0671 407.004i −0.246718 4.55045i
\(21\) −15.0841 5.08242i −0.156744 0.0528131i
\(22\) 326.540 + 71.8770i 3.16448 + 0.696555i
\(23\) 24.4179 46.0571i 0.221369 0.417546i −0.747807 0.663916i \(-0.768893\pi\)
0.969176 + 0.246370i \(0.0792379\pi\)
\(24\) 32.4890 + 198.174i 0.276325 + 1.68551i
\(25\) 174.215 205.102i 1.39372 1.64081i
\(26\) −211.838 249.395i −1.59788 1.88117i
\(27\) 4.36811 26.6443i 0.0311350 0.189915i
\(28\) −86.7246 65.9263i −0.585336 0.444961i
\(29\) −49.9476 + 73.6671i −0.319829 + 0.471712i −0.953287 0.302064i \(-0.902324\pi\)
0.633459 + 0.773776i \(0.281635\pi\)
\(30\) −178.526 + 263.306i −1.08647 + 1.60243i
\(31\) 41.2375 + 31.3479i 0.238918 + 0.181621i 0.717781 0.696269i \(-0.245158\pi\)
−0.478863 + 0.877890i \(0.658951\pi\)
\(32\) −80.4105 + 490.482i −0.444210 + 2.70956i
\(33\) −121.571 143.124i −0.641297 0.754993i
\(34\) −360.460 + 424.366i −1.81819 + 2.14053i
\(35\) −17.0406 103.943i −0.0822967 0.501987i
\(36\) 86.5561 163.262i 0.400723 0.755843i
\(37\) 52.0584 + 11.4589i 0.231307 + 0.0509144i 0.329111 0.944291i \(-0.393251\pi\)
−0.0978044 + 0.995206i \(0.531182\pi\)
\(38\) 590.944 + 199.112i 2.52273 + 0.850007i
\(39\) 9.94959 + 183.509i 0.0408515 + 0.753462i
\(40\) −1057.92 + 804.213i −4.18181 + 3.17893i
\(41\) −4.82417 9.09935i −0.0183758 0.0346605i 0.874154 0.485649i \(-0.161417\pi\)
−0.892530 + 0.450988i \(0.851072\pi\)
\(42\) 22.7460 + 81.9237i 0.0835663 + 0.300978i
\(43\) −189.422 179.430i −0.671780 0.636344i 0.273780 0.961792i \(-0.411726\pi\)
−0.945560 + 0.325448i \(0.894485\pi\)
\(44\) −475.707 1193.93i −1.62990 4.09074i
\(45\) 169.316 57.0492i 0.560892 0.188986i
\(46\) −276.819 + 30.1059i −0.887277 + 0.0964972i
\(47\) 33.2655 + 15.3902i 0.103240 + 0.0477638i 0.470829 0.882224i \(-0.343955\pi\)
−0.367590 + 0.929988i \(0.619817\pi\)
\(48\) 421.017 398.809i 1.26601 1.19923i
\(49\) 269.780 + 162.322i 0.786532 + 0.473241i
\(50\) −1429.01 155.414i −4.04184 0.439577i
\(51\) 305.404 67.2244i 0.838531 0.184575i
\(52\) −336.492 + 1211.93i −0.897366 + 3.23202i
\(53\) 434.325 261.324i 1.12564 0.677277i 0.174080 0.984731i \(-0.444305\pi\)
0.951563 + 0.307455i \(0.0994772\pi\)
\(54\) −130.892 + 60.5570i −0.329854 + 0.152607i
\(55\) 459.955 1154.40i 1.12764 2.83017i
\(56\) −19.2284 + 354.646i −0.0458839 + 0.846279i
\(57\) −196.544 289.881i −0.456718 0.673608i
\(58\) 475.414 1.07629
\(59\) 405.915 + 201.525i 0.895688 + 0.444682i
\(60\) 1222.81 2.63106
\(61\) −108.379 159.847i −0.227483 0.335512i 0.696769 0.717296i \(-0.254620\pi\)
−0.924252 + 0.381783i \(0.875310\pi\)
\(62\) 14.9797 276.284i 0.0306843 0.565938i
\(63\) 17.6748 44.3604i 0.0353463 0.0887125i
\(64\) 1006.01 465.428i 1.96486 0.909040i
\(65\) −1042.05 + 626.981i −1.98847 + 1.19642i
\(66\) −268.350 + 966.510i −0.500479 + 1.80256i
\(67\) −530.668 + 116.809i −0.967634 + 0.212992i −0.670554 0.741860i \(-0.733944\pi\)
−0.297079 + 0.954853i \(0.596013\pi\)
\(68\) 2127.67 + 231.398i 3.79438 + 0.412664i
\(69\) 134.003 + 80.6267i 0.233797 + 0.140671i
\(70\) −408.464 + 386.918i −0.697440 + 0.660650i
\(71\) −391.946 181.333i −0.655146 0.303103i 0.0640120 0.997949i \(-0.479610\pi\)
−0.719158 + 0.694846i \(0.755472\pi\)
\(72\) −598.927 + 65.1373i −0.980337 + 0.106618i
\(73\) 608.772 205.119i 0.976047 0.328869i 0.214318 0.976764i \(-0.431247\pi\)
0.761729 + 0.647895i \(0.224351\pi\)
\(74\) −105.389 264.506i −0.165557 0.415516i
\(75\) 586.107 + 555.190i 0.902371 + 0.854771i
\(76\) −641.256 2309.60i −0.967857 3.48590i
\(77\) −155.567 293.431i −0.230241 0.434280i
\(78\) 781.494 594.076i 1.13445 0.862383i
\(79\) −48.0592 886.399i −0.0684440 1.26238i −0.807960 0.589237i \(-0.799428\pi\)
0.739516 0.673139i \(-0.235054\pi\)
\(80\) 3636.64 + 1225.33i 5.08236 + 1.71245i
\(81\) 79.1063 + 17.4126i 0.108513 + 0.0238856i
\(82\) −25.7685 + 48.6045i −0.0347031 + 0.0654569i
\(83\) −66.6520 406.559i −0.0881447 0.537659i −0.993576 0.113166i \(-0.963901\pi\)
0.905431 0.424493i \(-0.139548\pi\)
\(84\) 211.574 249.085i 0.274817 0.323540i
\(85\) 1339.67 + 1577.18i 1.70950 + 2.01258i
\(86\) −225.472 + 1375.32i −0.282712 + 1.72447i
\(87\) −212.565 161.588i −0.261947 0.199127i
\(88\) −2351.46 + 3468.14i −2.84848 + 4.20120i
\(89\) 306.390 451.891i 0.364913 0.538206i −0.600265 0.799801i \(-0.704938\pi\)
0.965178 + 0.261595i \(0.0842485\pi\)
\(90\) −759.763 577.557i −0.889845 0.676443i
\(91\) −52.5839 + 320.748i −0.0605746 + 0.369489i
\(92\) 692.911 + 815.758i 0.785228 + 0.924442i
\(93\) −100.603 + 118.439i −0.112173 + 0.132060i
\(94\) −31.6743 193.205i −0.0347548 0.211995i
\(95\) 1085.58 2047.62i 1.17240 2.21138i
\(96\) −1456.23 320.540i −1.54819 0.340781i
\(97\) −593.985 200.137i −0.621753 0.209493i −0.00924494 0.999957i \(-0.502943\pi\)
−0.612508 + 0.790464i \(0.709839\pi\)
\(98\) −91.0495 1679.31i −0.0938509 1.73098i
\(99\) 448.489 340.932i 0.455301 0.346111i
\(100\) 2588.08 + 4881.63i 2.58808 + 4.88163i
\(101\) 417.243 + 1502.77i 0.411062 + 1.48051i 0.822338 + 0.569000i \(0.192669\pi\)
−0.411276 + 0.911511i \(0.634917\pi\)
\(102\) −1212.69 1148.72i −1.17719 1.11510i
\(103\) −305.987 767.968i −0.292716 0.734662i −0.999626 0.0273580i \(-0.991291\pi\)
0.706910 0.707304i \(-0.250089\pi\)
\(104\) 3886.05 1309.36i 3.66403 1.23456i
\(105\) 314.139 34.1647i 0.291970 0.0317536i
\(106\) −2457.28 1136.86i −2.25162 1.04171i
\(107\) −326.397 + 309.180i −0.294897 + 0.279341i −0.820815 0.571194i \(-0.806480\pi\)
0.525918 + 0.850535i \(0.323722\pi\)
\(108\) 475.010 + 285.804i 0.423221 + 0.254644i
\(109\) −369.879 40.2268i −0.325027 0.0353489i −0.0558491 0.998439i \(-0.517787\pi\)
−0.269178 + 0.963090i \(0.586752\pi\)
\(110\) −6482.50 + 1426.91i −5.61893 + 1.23682i
\(111\) −42.7815 + 154.085i −0.0365823 + 0.131758i
\(112\) 878.823 528.770i 0.741437 0.446108i
\(113\) −102.210 + 47.2872i −0.0850891 + 0.0393664i −0.461972 0.886894i \(-0.652858\pi\)
0.376883 + 0.926261i \(0.376996\pi\)
\(114\) −692.440 + 1737.89i −0.568886 + 1.42779i
\(115\) −56.0272 + 1033.36i −0.0454310 + 0.837926i
\(116\) −1025.52 1512.53i −0.820838 1.21065i
\(117\) −551.337 −0.435651
\(118\) −325.804 2398.69i −0.254175 1.87133i
\(119\) 553.064 0.426044
\(120\) −2237.28 3299.74i −1.70195 2.51020i
\(121\) 140.070 2583.44i 0.105237 1.94098i
\(122\) −381.826 + 958.312i −0.283352 + 0.711160i
\(123\) 28.0416 12.9734i 0.0205563 0.00951034i
\(124\) −911.312 + 548.318i −0.659985 + 0.397100i
\(125\) −765.341 + 2756.51i −0.547634 + 1.97240i
\(126\) −249.105 + 54.8321i −0.176127 + 0.0387685i
\(127\) 527.484 + 57.3674i 0.368556 + 0.0400829i 0.290524 0.956868i \(-0.406171\pi\)
0.0780329 + 0.996951i \(0.475136\pi\)
\(128\) −1666.25 1002.55i −1.15060 0.692296i
\(129\) 568.265 538.290i 0.387853 0.367393i
\(130\) 5895.62 + 2727.60i 3.97754 + 1.84020i
\(131\) −11.0408 + 1.20076i −0.00736364 + 0.000800844i −0.111800 0.993731i \(-0.535662\pi\)
0.104436 + 0.994532i \(0.466696\pi\)
\(132\) 3653.81 1231.11i 2.40927 0.811777i
\(133\) −229.268 575.419i −0.149474 0.375151i
\(134\) 2107.16 + 1996.01i 1.35844 + 1.28678i
\(135\) 143.397 + 516.469i 0.0914195 + 0.329263i
\(136\) −3268.41 6164.88i −2.06077 3.88702i
\(137\) −296.617 + 225.482i −0.184976 + 0.140615i −0.693564 0.720395i \(-0.743961\pi\)
0.508588 + 0.861010i \(0.330168\pi\)
\(138\) −45.2252 834.129i −0.0278973 0.514535i
\(139\) −2127.38 716.798i −1.29814 0.437396i −0.416425 0.909170i \(-0.636717\pi\)
−0.881719 + 0.471775i \(0.843614\pi\)
\(140\) 2112.08 + 464.904i 1.27502 + 0.280654i
\(141\) −51.5059 + 97.1504i −0.0307630 + 0.0580251i
\(142\) 373.198 + 2276.41i 0.220550 + 1.34529i
\(143\) −2482.47 + 2922.58i −1.45171 + 1.70908i
\(144\) 1126.29 + 1325.97i 0.651789 + 0.767346i
\(145\) 285.853 1743.63i 0.163716 0.998623i
\(146\) −2731.71 2076.60i −1.54848 1.17712i
\(147\) −530.067 + 781.791i −0.297410 + 0.438646i
\(148\) −614.190 + 905.863i −0.341123 + 0.503118i
\(149\) −1355.54 1030.46i −0.745305 0.566566i 0.162125 0.986770i \(-0.448165\pi\)
−0.907429 + 0.420204i \(0.861958\pi\)
\(150\) 697.653 4255.49i 0.379754 2.31640i
\(151\) 1900.36 + 2237.27i 1.02416 + 1.20574i 0.978386 + 0.206788i \(0.0663009\pi\)
0.0457784 + 0.998952i \(0.485423\pi\)
\(152\) −5059.17 + 5956.12i −2.69969 + 3.17832i
\(153\) 151.775 + 925.786i 0.0801979 + 0.489185i
\(154\) −830.967 + 1567.37i −0.434813 + 0.820144i
\(155\) −1004.29 221.061i −0.520430 0.114555i
\(156\) −3575.82 1204.83i −1.83522 0.618359i
\(157\) 197.775 + 3647.74i 0.100536 + 1.85428i 0.421056 + 0.907034i \(0.361659\pi\)
−0.320520 + 0.947242i \(0.603858\pi\)
\(158\) −3774.82 + 2869.54i −1.90069 + 1.44487i
\(159\) 712.282 + 1343.51i 0.355268 + 0.670107i
\(160\) −2639.72 9507.42i −1.30430 4.69767i
\(161\) 200.801 + 190.209i 0.0982940 + 0.0931090i
\(162\) −160.145 401.935i −0.0776680 0.194932i
\(163\) 1126.73 379.640i 0.541426 0.182428i −0.0352830 0.999377i \(-0.511233\pi\)
0.576709 + 0.816950i \(0.304337\pi\)
\(164\) 210.221 22.8629i 0.100094 0.0108859i
\(165\) 3383.41 + 1565.33i 1.59635 + 0.738552i
\(166\) −1597.66 + 1513.38i −0.747001 + 0.707596i
\(167\) −516.873 310.992i −0.239502 0.144103i 0.390743 0.920500i \(-0.372218\pi\)
−0.630245 + 0.776396i \(0.717046\pi\)
\(168\) −1059.26 115.201i −0.486449 0.0529045i
\(169\) 1519.37 334.439i 0.691567 0.152226i
\(170\) 2957.12 10650.6i 1.33412 4.80507i
\(171\) 900.289 541.686i 0.402613 0.242244i
\(172\) 4861.94 2249.37i 2.15534 0.997168i
\(173\) 528.265 1325.85i 0.232158 0.582672i −0.766033 0.642801i \(-0.777772\pi\)
0.998191 + 0.0601297i \(0.0191514\pi\)
\(174\) −77.2153 + 1424.15i −0.0336418 + 0.620487i
\(175\) 801.268 + 1181.78i 0.346115 + 0.510482i
\(176\) 12100.1 5.18228
\(177\) −669.614 + 1183.23i −0.284358 + 0.502468i
\(178\) −2916.30 −1.22801
\(179\) 785.489 + 1158.51i 0.327990 + 0.483749i 0.955554 0.294816i \(-0.0952584\pi\)
−0.627564 + 0.778565i \(0.715948\pi\)
\(180\) −198.604 + 3663.04i −0.0822394 + 1.51682i
\(181\) 835.500 2096.95i 0.343106 0.861132i −0.651618 0.758547i \(-0.725910\pi\)
0.994724 0.102584i \(-0.0327112\pi\)
\(182\) 1575.69 728.993i 0.641747 0.296904i
\(183\) 496.439 298.697i 0.200535 0.120658i
\(184\) 933.552 3362.35i 0.374035 1.34715i
\(185\) −1033.47 + 227.483i −0.410714 + 0.0904049i
\(186\) 825.205 + 89.7464i 0.325306 + 0.0353792i
\(187\) 5590.89 + 3363.93i 2.18634 + 1.31548i
\(188\) −546.356 + 517.535i −0.211953 + 0.200772i
\(189\) 130.015 + 60.1515i 0.0500382 + 0.0231501i
\(190\) −12306.9 + 1338.46i −4.69915 + 0.511063i
\(191\) −792.976 + 267.185i −0.300407 + 0.101219i −0.465469 0.885064i \(-0.654114\pi\)
0.165062 + 0.986283i \(0.447218\pi\)
\(192\) 1230.84 + 3089.19i 0.462649 + 1.16116i
\(193\) −163.615 154.984i −0.0610221 0.0578032i 0.656581 0.754256i \(-0.272002\pi\)
−0.717603 + 0.696452i \(0.754761\pi\)
\(194\) 895.698 + 3226.01i 0.331481 + 1.19389i
\(195\) −1708.94 3223.40i −0.627588 1.18376i
\(196\) −5146.32 + 3912.13i −1.87548 + 1.42570i
\(197\) 68.5883 + 1265.04i 0.0248057 + 0.457514i 0.984380 + 0.176058i \(0.0563346\pi\)
−0.959574 + 0.281456i \(0.909183\pi\)
\(198\) −2851.69 960.847i −1.02354 0.344871i
\(199\) −2261.94 497.892i −0.805754 0.177360i −0.207050 0.978330i \(-0.566386\pi\)
−0.598704 + 0.800971i \(0.704317\pi\)
\(200\) 8437.84 15915.5i 2.98323 5.62697i
\(201\) −263.723 1608.64i −0.0925454 0.564502i
\(202\) 5393.23 6349.40i 1.87854 2.21159i
\(203\) −305.716 359.917i −0.105700 0.124439i
\(204\) −1038.75 + 6336.07i −0.356504 + 2.17458i
\(205\) 162.768 + 123.733i 0.0554545 + 0.0421554i
\(206\) −2478.06 + 3654.87i −0.838129 + 1.23615i
\(207\) −263.290 + 388.323i −0.0884053 + 0.130388i
\(208\) −9427.21 7166.38i −3.14259 2.38894i
\(209\) 1182.24 7211.36i 0.391279 2.38670i
\(210\) −1092.71 1286.44i −0.359067 0.422727i
\(211\) −1257.32 + 1480.23i −0.410225 + 0.482954i −0.928009 0.372557i \(-0.878481\pi\)
0.517784 + 0.855511i \(0.326757\pi\)
\(212\) 1683.71 + 10270.2i 0.545460 + 3.32716i
\(213\) 606.861 1144.66i 0.195218 0.368220i
\(214\) 2345.33 + 516.246i 0.749175 + 0.164906i
\(215\) 4908.53 + 1653.88i 1.55702 + 0.524621i
\(216\) −97.8494 1804.73i −0.0308232 0.568500i
\(217\) −218.796 + 166.325i −0.0684463 + 0.0520316i
\(218\) 930.901 + 1755.87i 0.289214 + 0.545515i
\(219\) 515.581 + 1856.95i 0.159085 + 0.572974i
\(220\) 18523.2 + 17546.1i 5.67651 + 5.37708i
\(221\) −2363.55 5932.07i −0.719411 1.80559i
\(222\) 809.471 272.743i 0.244721 0.0824562i
\(223\) −1777.19 + 193.281i −0.533674 + 0.0580405i −0.370988 0.928637i \(-0.620981\pi\)
−0.162685 + 0.986678i \(0.552016\pi\)
\(224\) −2393.39 1107.30i −0.713907 0.330288i
\(225\) −1758.32 + 1665.57i −0.520984 + 0.493502i
\(226\) 515.446 + 310.133i 0.151712 + 0.0912822i
\(227\) −2683.90 291.892i −0.784743 0.0853459i −0.293030 0.956103i \(-0.594664\pi\)
−0.491713 + 0.870757i \(0.663629\pi\)
\(228\) 7022.78 1545.83i 2.03989 0.449014i
\(229\) 1480.92 5333.77i 0.427343 1.53915i −0.366140 0.930560i \(-0.619321\pi\)
0.793483 0.608592i \(-0.208265\pi\)
\(230\) 4736.57 2849.90i 1.35791 0.817030i
\(231\) 904.268 418.359i 0.257560 0.119160i
\(232\) −2205.24 + 5534.73i −0.624056 + 1.56626i
\(233\) 312.587 5765.33i 0.0878895 1.62103i −0.539268 0.842134i \(-0.681299\pi\)
0.627158 0.778892i \(-0.284218\pi\)
\(234\) 1652.69 + 2437.53i 0.461707 + 0.680967i
\(235\) −727.641 −0.201983
\(236\) −6928.64 + 6210.79i −1.91108 + 1.71308i
\(237\) 2663.10 0.729904
\(238\) −1657.86 2445.17i −0.451527 0.665952i
\(239\) −186.209 + 3434.42i −0.0503969 + 0.929517i 0.858582 + 0.512675i \(0.171346\pi\)
−0.908979 + 0.416841i \(0.863137\pi\)
\(240\) −4261.24 + 10694.9i −1.14609 + 2.87647i
\(241\) 3483.26 1611.53i 0.931023 0.430737i 0.105063 0.994466i \(-0.466496\pi\)
0.825960 + 0.563729i \(0.190634\pi\)
\(242\) −11841.6 + 7124.84i −3.14548 + 1.89257i
\(243\) −65.0094 + 234.143i −0.0171620 + 0.0618118i
\(244\) 3872.51 852.404i 1.01603 0.223646i
\(245\) −6213.76 675.788i −1.62034 0.176222i
\(246\) −141.414 85.0862i −0.0366514 0.0220524i
\(247\) −5192.06 + 4918.18i −1.33750 + 1.26695i
\(248\) 3146.99 + 1455.95i 0.805783 + 0.372795i
\(249\) 1228.72 133.631i 0.312717 0.0340101i
\(250\) 14481.1 4879.24i 3.66345 1.23436i
\(251\) 445.925 + 1119.19i 0.112137 + 0.281444i 0.974325 0.225145i \(-0.0722856\pi\)
−0.862188 + 0.506589i \(0.830906\pi\)
\(252\) 711.795 + 674.248i 0.177932 + 0.168546i
\(253\) 872.969 + 3144.15i 0.216929 + 0.781308i
\(254\) −1327.56 2504.04i −0.327946 0.618573i
\(255\) −4942.18 + 3756.95i −1.21369 + 0.922624i
\(256\) 82.2668 + 1517.32i 0.0200847 + 0.370440i
\(257\) −453.516 152.807i −0.110076 0.0370889i 0.263725 0.964598i \(-0.415049\pi\)
−0.373801 + 0.927509i \(0.621946\pi\)
\(258\) −4083.28 898.797i −0.985325 0.216886i
\(259\) −132.476 + 249.877i −0.0317825 + 0.0599481i
\(260\) −4039.63 24640.6i −0.963566 5.87749i
\(261\) 518.576 610.515i 0.122985 0.144789i
\(262\) 38.4045 + 45.2133i 0.00905587 + 0.0106614i
\(263\) −15.4021 + 93.9484i −0.00361115 + 0.0220270i −0.988571 0.150758i \(-0.951828\pi\)
0.984959 + 0.172785i \(0.0552767\pi\)
\(264\) −10007.3 7607.32i −2.33297 1.77348i
\(265\) −5647.02 + 8328.74i −1.30903 + 1.93068i
\(266\) −1856.75 + 2738.50i −0.427987 + 0.631233i
\(267\) 1303.92 + 991.216i 0.298872 + 0.227196i
\(268\) 1804.92 11009.5i 0.411392 2.50938i
\(269\) −1833.44 2158.50i −0.415565 0.489241i 0.514057 0.857756i \(-0.328142\pi\)
−0.929622 + 0.368515i \(0.879866\pi\)
\(270\) 1853.53 2182.14i 0.417786 0.491855i
\(271\) −1297.87 7916.64i −0.290922 1.77454i −0.577404 0.816459i \(-0.695934\pi\)
0.286482 0.958086i \(-0.407514\pi\)
\(272\) −9438.37 + 17802.6i −2.10399 + 3.96854i
\(273\) −952.291 209.615i −0.211118 0.0464706i
\(274\) 1886.03 + 635.476i 0.415836 + 0.140111i
\(275\) 911.961 + 16820.1i 0.199976 + 3.68834i
\(276\) −2556.23 + 1943.19i −0.557488 + 0.423791i
\(277\) −3984.67 7515.88i −0.864316 1.63027i −0.772961 0.634454i \(-0.781225\pi\)
−0.0913546 0.995818i \(-0.529120\pi\)
\(278\) 3207.98 + 11554.1i 0.692092 + 2.49269i
\(279\) −338.458 320.604i −0.0726270 0.0687959i
\(280\) −2609.77 6550.04i −0.557014 1.39800i
\(281\) −743.334 + 250.459i −0.157806 + 0.0531712i −0.397096 0.917777i \(-0.629982\pi\)
0.239290 + 0.970948i \(0.423085\pi\)
\(282\) 583.908 63.5039i 0.123302 0.0134099i
\(283\) −6917.39 3200.33i −1.45299 0.672225i −0.474830 0.880078i \(-0.657490\pi\)
−0.978160 + 0.207853i \(0.933353\pi\)
\(284\) 6437.36 6097.79i 1.34502 1.27407i
\(285\) 5957.54 + 3584.53i 1.23823 + 0.745015i
\(286\) 20362.6 + 2214.56i 4.21001 + 0.457866i
\(287\) 53.3669 11.7469i 0.0109761 0.00241603i
\(288\) 1196.73 4310.22i 0.244853 0.881882i
\(289\) −5100.54 + 3068.89i −1.03817 + 0.624648i
\(290\) −8565.67 + 3962.90i −1.73446 + 0.802446i
\(291\) 696.003 1746.84i 0.140208 0.351895i
\(292\) −714.078 + 13170.4i −0.143110 + 2.63952i
\(293\) −4411.03 6505.78i −0.879505 1.29717i −0.953955 0.299949i \(-0.903030\pi\)
0.0744498 0.997225i \(-0.476280\pi\)
\(294\) 5045.33 1.00085
\(295\) −8993.32 247.347i −1.77495 0.0488173i
\(296\) 3568.21 0.700668
\(297\) 948.455 + 1398.87i 0.185303 + 0.273301i
\(298\) −492.408 + 9081.92i −0.0957195 + 1.76544i
\(299\) 1182.01 2966.63i 0.228621 0.573794i
\(300\) −15043.8 + 6959.98i −2.89517 + 1.33945i
\(301\) 1186.19 713.704i 0.227145 0.136668i
\(302\) 4194.76 15108.2i 0.799276 2.87873i
\(303\) −4569.48 + 1005.82i −0.866368 + 0.190702i
\(304\) 22434.8 + 2439.93i 4.23265 + 0.460328i
\(305\) 3285.12 + 1976.59i 0.616738 + 0.371079i
\(306\) 3638.06 3446.15i 0.679653 0.643802i
\(307\) 4041.49 + 1869.79i 0.751335 + 0.347605i 0.757897 0.652374i \(-0.226227\pi\)
−0.00656205 + 0.999978i \(0.502089\pi\)
\(308\) 6779.07 737.269i 1.25413 0.136395i
\(309\) 2350.22 791.882i 0.432685 0.145788i
\(310\) 2033.12 + 5102.75i 0.372496 + 0.934893i
\(311\) −2693.76 2551.66i −0.491154 0.465246i 0.401584 0.915822i \(-0.368460\pi\)
−0.892738 + 0.450576i \(0.851219\pi\)
\(312\) 3291.17 + 11853.7i 0.597198 + 2.15091i
\(313\) 2660.87 + 5018.93i 0.480515 + 0.906347i 0.998695 + 0.0510755i \(0.0162649\pi\)
−0.518180 + 0.855272i \(0.673390\pi\)
\(314\) 15534.3 11808.8i 2.79188 2.12233i
\(315\) 51.3223 + 946.584i 0.00917995 + 0.169314i
\(316\) 17272.2 + 5819.67i 3.07479 + 1.03602i
\(317\) 1227.03 + 270.090i 0.217403 + 0.0478541i 0.322336 0.946625i \(-0.395532\pi\)
−0.104933 + 0.994479i \(0.533463\pi\)
\(318\) 3804.68 7176.38i 0.670930 1.26551i
\(319\) −901.326 5497.84i −0.158196 0.964954i
\(320\) −14245.8 + 16771.5i −2.48864 + 2.92986i
\(321\) −873.166 1027.97i −0.151824 0.178741i
\(322\) 239.016 1457.94i 0.0413660 0.252322i
\(323\) 9687.73 + 7364.42i 1.66885 + 1.26863i
\(324\) −933.304 + 1376.52i −0.160032 + 0.236029i
\(325\) 9251.33 13644.7i 1.57899 2.32883i
\(326\) −5055.92 3843.41i −0.858962 0.652966i
\(327\) 180.578 1101.48i 0.0305382 0.186275i
\(328\) −446.320 525.449i −0.0751339 0.0884544i
\(329\) −125.899 + 148.220i −0.0210974 + 0.0248378i
\(330\) −3221.58 19650.7i −0.537400 3.27799i
\(331\) 5028.97 9485.64i 0.835097 1.57516i 0.0171598 0.999853i \(-0.494538\pi\)
0.817937 0.575307i \(-0.195118\pi\)
\(332\) 8261.13 + 1818.41i 1.36563 + 0.300598i
\(333\) −454.629 153.182i −0.0748153 0.0252082i
\(334\) 174.442 + 3217.39i 0.0285779 + 0.527089i
\(335\) 8587.51 6528.05i 1.40055 1.06467i
\(336\) 1441.25 + 2718.48i 0.234008 + 0.441385i
\(337\) −2719.33 9794.15i −0.439559 1.58315i −0.769178 0.639035i \(-0.779334\pi\)
0.329619 0.944114i \(-0.393080\pi\)
\(338\) −6033.07 5714.83i −0.970875 0.919662i
\(339\) −125.053 313.859i −0.0200352 0.0502846i
\(340\) −40263.6 + 13566.4i −6.42236 + 2.16395i
\(341\) −3223.44 + 350.570i −0.511904 + 0.0556729i
\(342\) −5093.57 2356.54i −0.805347 0.372593i
\(343\) −2534.01 + 2400.34i −0.398903 + 0.377861i
\(344\) −14965.4 9004.40i −2.34559 1.41129i
\(345\) −3086.44 335.670i −0.481647 0.0523823i
\(346\) −7445.26 + 1638.83i −1.15682 + 0.254635i
\(347\) −167.151 + 602.025i −0.0258592 + 0.0931366i −0.975354 0.220647i \(-0.929183\pi\)
0.949494 + 0.313784i \(0.101597\pi\)
\(348\) 4697.50 2826.39i 0.723599 0.435375i
\(349\) −6162.98 + 2851.30i −0.945263 + 0.437325i −0.831091 0.556136i \(-0.812283\pi\)
−0.114171 + 0.993461i \(0.536421\pi\)
\(350\) 2822.93 7085.01i 0.431119 1.08203i
\(351\) 89.5463 1651.59i 0.0136172 0.251154i
\(352\) −17459.6 25751.0i −2.64376 3.89925i
\(353\) 11085.1 1.67139 0.835695 0.549193i \(-0.185065\pi\)
0.835695 + 0.549193i \(0.185065\pi\)
\(354\) 7238.43 586.391i 1.08678 0.0880405i
\(355\) 8573.32 1.28176
\(356\) 6290.78 + 9278.21i 0.936548 + 1.38130i
\(357\) −89.8268 + 1656.76i −0.0133169 + 0.245616i
\(358\) 2767.34 6945.49i 0.408543 1.02536i
\(359\) 4043.17 1870.57i 0.594402 0.275000i −0.0995366 0.995034i \(-0.531736\pi\)
0.693938 + 0.720034i \(0.255874\pi\)
\(360\) 10248.1 6166.06i 1.50033 0.902721i
\(361\) 1811.15 6523.19i 0.264055 0.951040i
\(362\) −11775.4 + 2591.95i −1.70967 + 0.376326i
\(363\) 7716.20 + 839.187i 1.11569 + 0.121339i
\(364\) −5718.23 3440.54i −0.823397 0.495422i
\(365\) −9258.60 + 8770.22i −1.32772 + 1.25768i
\(366\) −2808.70 1299.44i −0.401129 0.185582i
\(367\) −8662.66 + 942.121i −1.23212 + 0.134001i −0.700915 0.713245i \(-0.747225\pi\)
−0.531202 + 0.847245i \(0.678259\pi\)
\(368\) −9549.44 + 3217.58i −1.35271 + 0.455783i
\(369\) 34.3087 + 86.1084i 0.00484022 + 0.0121480i
\(370\) 4103.65 + 3887.19i 0.576591 + 0.546176i
\(371\) 719.488 + 2591.36i 0.100685 + 0.362633i
\(372\) −1494.53 2818.98i −0.208300 0.392896i
\(373\) 198.109 150.598i 0.0275005 0.0209053i −0.591334 0.806427i \(-0.701398\pi\)
0.618834 + 0.785522i \(0.287605\pi\)
\(374\) −1886.89 34801.7i −0.260880 4.81164i
\(375\) −8133.10 2740.36i −1.11998 0.377364i
\(376\) 2396.19 + 527.442i 0.328655 + 0.0723424i
\(377\) −2553.91 + 4817.19i −0.348894 + 0.658084i
\(378\) −123.796 755.124i −0.0168450 0.102750i
\(379\) −4600.47 + 5416.09i −0.623510 + 0.734053i −0.979724 0.200352i \(-0.935792\pi\)
0.356214 + 0.934404i \(0.384067\pi\)
\(380\) 30805.7 + 36267.3i 4.15868 + 4.89598i
\(381\) −257.522 + 1570.81i −0.0346280 + 0.211221i
\(382\) 3558.28 + 2704.94i 0.476591 + 0.362295i
\(383\) −1764.97 + 2603.13i −0.235472 + 0.347295i −0.927004 0.375050i \(-0.877625\pi\)
0.691533 + 0.722345i \(0.256936\pi\)
\(384\) 3273.87 4828.60i 0.435075 0.641688i
\(385\) 5248.84 + 3990.06i 0.694819 + 0.528188i
\(386\) −194.753 + 1187.94i −0.0256805 + 0.156644i
\(387\) 1520.20 + 1789.72i 0.199680 + 0.235082i
\(388\) 8331.44 9808.53i 1.09012 1.28338i
\(389\) 1137.68 + 6939.55i 0.148285 + 0.904497i 0.951239 + 0.308456i \(0.0998122\pi\)
−0.802954 + 0.596041i \(0.796739\pi\)
\(390\) −9128.35 + 17217.9i −1.18521 + 2.23554i
\(391\) −5306.85 1168.13i −0.686391 0.151086i
\(392\) 19972.7 + 6729.58i 2.57340 + 0.867080i
\(393\) −1.80378 33.2688i −0.000231523 0.00427020i
\(394\) 5387.29 4095.31i 0.688852 0.523652i
\(395\) 8254.63 + 15569.9i 1.05148 + 1.98331i
\(396\) 3094.48 + 11145.3i 0.392686 + 1.41433i
\(397\) −7712.86 7306.01i −0.975056 0.923622i 0.0220414 0.999757i \(-0.492983\pi\)
−0.997098 + 0.0761348i \(0.975742\pi\)
\(398\) 4579.16 + 11492.8i 0.576715 + 1.44745i
\(399\) 1760.96 593.337i 0.220948 0.0744461i
\(400\) −51714.6 + 5624.30i −6.46433 + 0.703038i
\(401\) −228.862 105.883i −0.0285009 0.0131859i 0.405587 0.914056i \(-0.367067\pi\)
−0.434088 + 0.900871i \(0.642929\pi\)
\(402\) −6321.47 + 5988.02i −0.784295 + 0.742923i
\(403\) 2719.01 + 1635.97i 0.336088 + 0.202218i
\(404\) −31834.4 3462.20i −3.92035 0.426363i
\(405\) −1570.42 + 345.676i −0.192679 + 0.0424119i
\(406\) −674.824 + 2430.49i −0.0824900 + 0.297102i
\(407\) −2859.03 + 1720.22i −0.348198 + 0.209504i
\(408\) 18998.4 8789.58i 2.30529 1.06654i
\(409\) 8.84978 22.2113i 0.00106991 0.00268527i −0.928441 0.371480i \(-0.878850\pi\)
0.929511 + 0.368795i \(0.120230\pi\)
\(410\) 59.1261 1090.52i 0.00712203 0.131358i
\(411\) −627.280 925.168i −0.0752833 0.111035i
\(412\) 16973.4 2.02966
\(413\) −1606.44 + 1789.13i −0.191399 + 0.213166i
\(414\) 2506.06 0.297503
\(415\) 4589.83 + 6769.50i 0.542906 + 0.800727i
\(416\) −1648.42 + 30403.2i −0.194279 + 3.58327i
\(417\) 2492.76 6256.36i 0.292736 0.734713i
\(418\) −35426.2 + 16389.9i −4.14534 + 1.91784i
\(419\) 3610.79 2172.54i 0.420999 0.253307i −0.289255 0.957252i \(-0.593408\pi\)
0.710254 + 0.703945i \(0.248580\pi\)
\(420\) −1735.70 + 6251.44i −0.201652 + 0.726283i
\(421\) 7257.90 1597.58i 0.840210 0.184944i 0.226040 0.974118i \(-0.427422\pi\)
0.614170 + 0.789174i \(0.289491\pi\)
\(422\) 10313.2 + 1121.63i 1.18967 + 0.129384i
\(423\) −282.658 170.070i −0.0324901 0.0195487i
\(424\) 24633.4 23334.0i 2.82147 2.67264i
\(425\) −25458.4 11778.3i −2.90568 1.34431i
\(426\) −6879.82 + 748.225i −0.782461 + 0.0850977i
\(427\) 971.032 327.179i 0.110050 0.0370803i
\(428\) −3416.70 8575.26i −0.385870 0.968460i
\(429\) −8351.70 7911.15i −0.939916 0.890335i
\(430\) −7401.80 26658.9i −0.830109 2.98978i
\(431\) 5133.32 + 9682.47i 0.573697 + 1.08211i 0.985314 + 0.170751i \(0.0546193\pi\)
−0.411617 + 0.911357i \(0.635036\pi\)
\(432\) −4155.01 + 3158.56i −0.462750 + 0.351774i
\(433\) 338.321 + 6239.96i 0.0375489 + 0.692548i 0.955344 + 0.295495i \(0.0954844\pi\)
−0.917796 + 0.397053i \(0.870033\pi\)
\(434\) 1391.21 + 468.752i 0.153871 + 0.0518452i
\(435\) 5176.78 + 1139.50i 0.570592 + 0.125597i
\(436\) 3578.23 6749.26i 0.393042 0.741355i
\(437\) 984.567 + 6005.59i 0.107776 + 0.657406i
\(438\) 6664.32 7845.85i 0.727018 0.855911i
\(439\) −9596.60 11298.0i −1.04333 1.22830i −0.973007 0.230776i \(-0.925874\pi\)
−0.0703209 0.997524i \(-0.522402\pi\)
\(440\) 13457.6 82087.5i 1.45810 8.89401i
\(441\) −2255.84 1714.85i −0.243585 0.185169i
\(442\) −19141.5 + 28231.6i −2.05988 + 3.03810i
\(443\) 2656.54 3918.10i 0.284912 0.420214i −0.658121 0.752912i \(-0.728649\pi\)
0.943033 + 0.332698i \(0.107959\pi\)
\(444\) −2613.85 1987.00i −0.279387 0.212384i
\(445\) −1753.49 + 10695.8i −0.186794 + 1.13939i
\(446\) 6181.81 + 7277.79i 0.656317 + 0.772676i
\(447\) 3307.00 3893.30i 0.349923 0.411962i
\(448\) 951.473 + 5803.73i 0.100341 + 0.612054i
\(449\) −3082.23 + 5813.71i −0.323963 + 0.611060i −0.990984 0.133979i \(-0.957224\pi\)
0.667021 + 0.745039i \(0.267569\pi\)
\(450\) 12634.4 + 2781.05i 1.32354 + 0.291333i
\(451\) 610.932 + 205.847i 0.0637863 + 0.0214921i
\(452\) −125.184 2308.88i −0.0130269 0.240267i
\(453\) −7010.62 + 5329.34i −0.727125 + 0.552746i
\(454\) 6754.76 + 12740.8i 0.698275 + 1.31709i
\(455\) −1726.23 6217.32i −0.177861 0.640598i
\(456\) −17020.5 16122.6i −1.74793 1.65573i
\(457\) −1278.96 3209.96i −0.130913 0.328568i 0.848878 0.528588i \(-0.177278\pi\)
−0.979792 + 0.200020i \(0.935899\pi\)
\(458\) −28020.5 + 9441.20i −2.85876 + 0.963228i
\(459\) −2797.93 + 304.294i −0.284524 + 0.0309438i
\(460\) −19284.3 8921.85i −1.95464 0.904312i
\(461\) 1450.76 1374.23i 0.146570 0.138838i −0.610902 0.791706i \(-0.709193\pi\)
0.757472 + 0.652868i \(0.226434\pi\)
\(462\) −4560.25 2743.81i −0.459225 0.276307i
\(463\) 6486.67 + 705.468i 0.651104 + 0.0708118i 0.427709 0.903916i \(-0.359321\pi\)
0.223395 + 0.974728i \(0.428286\pi\)
\(464\) 16802.6 3698.54i 1.68113 0.370044i
\(465\) 825.325 2972.55i 0.0823087 0.296449i
\(466\) −26426.2 + 15900.1i −2.62698 + 1.58060i
\(467\) 14848.3 6869.56i 1.47130 0.680697i 0.489744 0.871866i \(-0.337090\pi\)
0.981557 + 0.191170i \(0.0612280\pi\)
\(468\) 4189.98 10516.0i 0.413850 1.03868i
\(469\) 156.083 2878.78i 0.0153672 0.283432i
\(470\) 2181.17 + 3216.99i 0.214064 + 0.315721i
\(471\) −10959.3 −1.07214
\(472\) 29436.6 + 7333.49i 2.87061 + 0.715151i
\(473\) 16332.1 1.58763
\(474\) −7982.92 11773.9i −0.773560 1.14092i
\(475\) −1700.84 + 31370.1i −0.164294 + 3.03023i
\(476\) −4203.10 + 10549.0i −0.404724 + 1.01578i
\(477\) −4140.29 + 1915.50i −0.397424 + 0.183868i
\(478\) 15742.2 9471.77i 1.50634 0.906336i
\(479\) −2168.42 + 7809.94i −0.206843 + 0.744980i 0.785218 + 0.619219i \(0.212551\pi\)
−0.992061 + 0.125760i \(0.959863\pi\)
\(480\) 28909.2 6363.39i 2.74899 0.605099i
\(481\) 3246.28 + 353.054i 0.307729 + 0.0334676i
\(482\) −17566.2 10569.2i −1.66000 0.998786i
\(483\) −602.403 + 570.626i −0.0567501 + 0.0537565i
\(484\) 48211.3 + 22304.9i 4.52773 + 2.09475i
\(485\) 12370.3 1345.35i 1.15815 0.125957i
\(486\) 1230.05 414.451i 0.114807 0.0386829i
\(487\) −4814.34 12083.1i −0.447964 1.12431i −0.963565 0.267476i \(-0.913810\pi\)
0.515600 0.856829i \(-0.327569\pi\)
\(488\) −9385.45 8890.37i −0.870613 0.824689i
\(489\) 954.250 + 3436.90i 0.0882467 + 0.317836i
\(490\) 15638.6 + 29497.6i 1.44180 + 2.71952i
\(491\) 5291.11 4022.20i 0.486323 0.369693i −0.333091 0.942895i \(-0.608092\pi\)
0.819415 + 0.573201i \(0.194299\pi\)
\(492\) 34.3447 + 633.450i 0.00314711 + 0.0580450i
\(493\) 8791.91 + 2962.34i 0.803180 + 0.270623i
\(494\) 37307.6 + 8212.03i 3.39787 + 0.747928i
\(495\) −5238.64 + 9881.12i −0.475675 + 0.897219i
\(496\) −1619.96 9881.29i −0.146649 0.894522i
\(497\) 1483.39 1746.38i 0.133881 0.157617i
\(498\) −4273.99 5031.73i −0.384583 0.452766i
\(499\) −1398.14 + 8528.28i −0.125430 + 0.765086i 0.846949 + 0.531675i \(0.178437\pi\)
−0.972378 + 0.233411i \(0.925011\pi\)
\(500\) −46760.6 35546.4i −4.18239 3.17937i
\(501\) 1015.56 1497.83i 0.0905623 0.133569i
\(502\) 3611.36 5326.36i 0.321082 0.473560i
\(503\) 146.699 + 111.517i 0.0130039 + 0.00988532i 0.611656 0.791124i \(-0.290504\pi\)
−0.598652 + 0.801009i \(0.704297\pi\)
\(504\) 517.137 3154.40i 0.0457046 0.278786i
\(505\) −20044.2 23597.9i −1.76625 2.07939i
\(506\) 11283.9 13284.4i 0.991362 1.16712i
\(507\) 755.075 + 4605.76i 0.0661421 + 0.403449i
\(508\) −5102.91 + 9625.11i −0.445679 + 0.840641i
\(509\) −14761.4 3249.23i −1.28544 0.282946i −0.480862 0.876796i \(-0.659676\pi\)
−0.804576 + 0.593850i \(0.797607\pi\)
\(510\) 31424.6 + 10588.2i 2.72844 + 0.919319i
\(511\) 184.528 + 3403.43i 0.0159747 + 0.294635i
\(512\) −5923.05 + 4502.58i −0.511258 + 0.388648i
\(513\) 1476.45 + 2784.89i 0.127070 + 0.239680i
\(514\) 683.878 + 2463.11i 0.0586859 + 0.211368i
\(515\) 11914.6 + 11286.1i 1.01945 + 0.965678i
\(516\) 5948.56 + 14929.8i 0.507501 + 1.27373i
\(517\) −2174.23 + 732.583i −0.184957 + 0.0623191i
\(518\) 1501.85 163.336i 0.127389 0.0138544i
\(519\) 3885.90 + 1797.81i 0.328656 + 0.152052i
\(520\) −59101.6 + 55984.0i −4.98419 + 4.72127i
\(521\) −4302.61 2588.80i −0.361806 0.217691i 0.323030 0.946389i \(-0.395299\pi\)
−0.684836 + 0.728697i \(0.740126\pi\)
\(522\) −4253.65 462.612i −0.356661 0.0387892i
\(523\) 21316.7 4692.17i 1.78225 0.392303i 0.803165 0.595757i \(-0.203148\pi\)
0.979084 + 0.203454i \(0.0652169\pi\)
\(524\) 61.0033 219.714i 0.00508577 0.0183173i
\(525\) −3670.28 + 2208.34i −0.305113 + 0.183580i
\(526\) 461.527 213.525i 0.0382577 0.0176999i
\(527\) 1998.57 5016.03i 0.165197 0.414614i
\(528\) −1965.26 + 36247.1i −0.161983 + 2.98760i
\(529\) 5302.94 + 7821.26i 0.435847 + 0.642826i
\(530\) 53749.9 4.40518
\(531\) −3435.72 2198.07i −0.280786 0.179639i
\(532\) 12717.7 1.03644
\(533\) −354.063 522.204i −0.0287733 0.0424374i
\(534\) 473.656 8736.08i 0.0383841 0.707953i
\(535\) 3303.56 8291.30i 0.266963 0.670027i
\(536\) −33011.5 + 15272.7i −2.66022 + 1.23075i
\(537\) −3598.01 + 2164.85i −0.289135 + 0.173967i
\(538\) −4047.06 + 14576.2i −0.324314 + 1.16808i
\(539\) −19247.4 + 4236.68i −1.53812 + 0.338566i
\(540\) −10940.7 1189.88i −0.871879 0.0948226i
\(541\) −2602.00 1565.57i −0.206781 0.124416i 0.408396 0.912805i \(-0.366088\pi\)
−0.615178 + 0.788388i \(0.710916\pi\)
\(542\) −31110.0 + 29468.9i −2.46548 + 2.33542i
\(543\) 6145.92 + 2843.40i 0.485721 + 0.224718i
\(544\) 51505.8 5601.60i 4.05937 0.441483i
\(545\) 6999.52 2358.41i 0.550141 0.185364i
\(546\) 1927.85 + 4838.54i 0.151107 + 0.379250i
\(547\) −7057.17 6684.91i −0.551632 0.522534i 0.360321 0.932829i \(-0.382667\pi\)
−0.911953 + 0.410295i \(0.865426\pi\)
\(548\) −2046.60 7371.18i −0.159537 0.574601i
\(549\) 814.148 + 1535.65i 0.0632914 + 0.119380i
\(550\) 71630.3 54451.9i 5.55332 4.22152i
\(551\) −562.532 10375.3i −0.0434931 0.802182i
\(552\) 9920.63 + 3342.65i 0.764946 + 0.257740i
\(553\) 4599.82 + 1012.50i 0.353715 + 0.0778585i
\(554\) −21284.2 + 40146.3i −1.63227 + 3.07880i
\(555\) −513.597 3132.80i −0.0392810 0.239604i
\(556\) 29839.4 35129.6i 2.27603 2.67955i
\(557\) −9253.94 10894.6i −0.703953 0.828758i 0.287696 0.957722i \(-0.407111\pi\)
−0.991649 + 0.128964i \(0.958835\pi\)
\(558\) −402.871 + 2457.41i −0.0305644 + 0.186434i
\(559\) −12724.3 9672.77i −0.962757 0.731869i
\(560\) −11426.3 + 16852.6i −0.862233 + 1.27170i
\(561\) −10985.0 + 16201.7i −0.826717 + 1.21932i
\(562\) 3335.53 + 2535.60i 0.250357 + 0.190317i
\(563\) 1912.96 11668.5i 0.143200 0.873480i −0.813321 0.581816i \(-0.802343\pi\)
0.956521 0.291665i \(-0.0942092\pi\)
\(564\) −1461.59 1720.72i −0.109121 0.128467i
\(565\) 1447.37 1703.97i 0.107772 0.126879i
\(566\) 6586.51 + 40176.0i 0.489137 + 2.98361i
\(567\) −201.307 + 379.704i −0.0149102 + 0.0281236i
\(568\) −28232.8 6214.51i −2.08560 0.459076i
\(569\) 24771.5 + 8346.50i 1.82509 + 0.614945i 0.998651 + 0.0519191i \(0.0165338\pi\)
0.826439 + 0.563026i \(0.190363\pi\)
\(570\) −2010.64 37084.0i −0.147748 2.72505i
\(571\) 5302.06 4030.52i 0.388589 0.295398i −0.392579 0.919718i \(-0.628417\pi\)
0.781168 + 0.624320i \(0.214624\pi\)
\(572\) −36878.6 69560.5i −2.69576 5.08474i
\(573\) −671.586 2418.84i −0.0489632 0.176350i
\(574\) −211.907 200.729i −0.0154091 0.0145963i
\(575\) −5192.42 13032.0i −0.376589 0.945167i
\(576\) −9453.88 + 3185.38i −0.683875 + 0.230424i
\(577\) 8799.94 957.051i 0.634915 0.0690512i 0.214999 0.976614i \(-0.431025\pi\)
0.419916 + 0.907563i \(0.362060\pi\)
\(578\) 28857.4 + 13350.8i 2.07666 + 0.960764i
\(579\) 490.845 464.953i 0.0352311 0.0333727i
\(580\) 31085.0 + 18703.3i 2.22541 + 1.33898i
\(581\) 2173.09 + 236.338i 0.155172 + 0.0168760i
\(582\) −9809.32 + 2159.20i −0.698642 + 0.153783i
\(583\) −8488.30 + 30572.1i −0.603001 + 2.17181i
\(584\) 36846.7 22169.9i 2.61084 1.57089i
\(585\) 9933.58 4595.76i 0.702056 0.324806i
\(586\) −15540.4 + 39003.4i −1.09551 + 2.74952i
\(587\) −45.2241 + 834.109i −0.00317989 + 0.0586497i −0.999693 0.0247907i \(-0.992108\pi\)
0.996513 + 0.0834404i \(0.0265908\pi\)
\(588\) −10883.3 16051.7i −0.763300 1.12578i
\(589\) −6047.27 −0.423045
\(590\) 25864.8 + 40502.0i 1.80481 + 2.82617i
\(591\) −3800.69 −0.264534
\(592\) −5782.52 8528.58i −0.401453 0.592099i
\(593\) 1357.36 25035.1i 0.0939970 1.73367i −0.448647 0.893709i \(-0.648094\pi\)
0.542644 0.839963i \(-0.317423\pi\)
\(594\) 3341.48 8386.48i 0.230812 0.579295i
\(595\) −9964.70 + 4610.16i −0.686576 + 0.317644i
\(596\) 29956.3 18024.1i 2.05882 1.23875i
\(597\) 1858.86 6695.02i 0.127434 0.458976i
\(598\) −16659.0 + 3666.93i −1.13920 + 0.250756i
\(599\) −3732.41 405.924i −0.254595 0.0276888i −0.0200684 0.999799i \(-0.506388\pi\)
−0.234526 + 0.972110i \(0.575354\pi\)
\(600\) 46305.9 + 27861.3i 3.15072 + 1.89572i
\(601\) −19419.0 + 18394.6i −1.31800 + 1.24847i −0.370450 + 0.928852i \(0.620797\pi\)
−0.947546 + 0.319620i \(0.896445\pi\)
\(602\) −6711.08 3104.88i −0.454358 0.210208i
\(603\) 4861.68 528.740i 0.328330 0.0357080i
\(604\) −57115.2 + 19244.3i −3.84765 + 1.29643i
\(605\) 19011.0 + 47714.0i 1.27753 + 3.20637i
\(606\) 18144.3 + 17187.2i 1.21627 + 1.15212i
\(607\) 605.712 + 2181.58i 0.0405026 + 0.145877i 0.981037 0.193822i \(-0.0620884\pi\)
−0.940534 + 0.339699i \(0.889675\pi\)
\(608\) −27179.3 51265.6i −1.81294 3.41957i
\(609\) 1127.82 857.346i 0.0750436 0.0570467i
\(610\) −1108.71 20448.9i −0.0735907 1.35730i
\(611\) 2127.82 + 716.946i 0.140888 + 0.0474706i
\(612\) −18811.6 4140.75i −1.24251 0.273497i
\(613\) 12645.8 23852.6i 0.833214 1.57161i 0.0127432 0.999919i \(-0.495944\pi\)
0.820470 0.571689i \(-0.193712\pi\)
\(614\) −3848.17 23472.8i −0.252931 1.54281i
\(615\) −397.090 + 467.490i −0.0260361 + 0.0306521i
\(616\) −14392.7 16944.4i −0.941392 1.10829i
\(617\) −2599.54 + 15856.5i −0.169617 + 1.03462i 0.755560 + 0.655079i \(0.227365\pi\)
−0.925177 + 0.379537i \(0.876083\pi\)
\(618\) −10546.0 8016.89i −0.686446 0.521823i
\(619\) 7141.05 10532.3i 0.463689 0.683889i −0.521908 0.853002i \(-0.674780\pi\)
0.985597 + 0.169112i \(0.0540900\pi\)
\(620\) 11848.7 17475.6i 0.767511 1.13199i
\(621\) −1120.50 851.781i −0.0724059 0.0550415i
\(622\) −3206.42 + 19558.3i −0.206697 + 1.26080i
\(623\) 1875.33 + 2207.81i 0.120600 + 0.141981i
\(624\) 22998.7 27076.2i 1.47546 1.73705i
\(625\) −3745.97 22849.4i −0.239742 1.46236i
\(626\) 14213.1 26808.8i 0.907460 1.71165i
\(627\) 21410.3 + 4712.77i 1.36371 + 0.300175i
\(628\) −71079.0 23949.3i −4.51650 1.52178i
\(629\) −300.816 5548.23i −0.0190689 0.351705i
\(630\) 4031.12 3064.38i 0.254927 0.193790i
\(631\) 14379.2 + 27122.1i 0.907177 + 1.71112i 0.674073 + 0.738665i \(0.264543\pi\)
0.233104 + 0.972452i \(0.425112\pi\)
\(632\) −15897.2 57256.7i −1.00057 3.60371i
\(633\) −4229.97 4006.84i −0.265602 0.251592i
\(634\) −2484.04 6234.48i −0.155606 0.390541i
\(635\) −9982.02 + 3363.33i −0.623818 + 0.210189i
\(636\) −31038.8 + 3375.67i −1.93517 + 0.210462i
\(637\) 17504.9 + 8098.63i 1.08881 + 0.503735i
\(638\) −21604.9 + 20465.2i −1.34067 + 1.26995i
\(639\) 3330.38 + 2003.82i 0.206178 + 0.124053i
\(640\) 38378.2 + 4173.89i 2.37036 + 0.257793i
\(641\) 27445.7 6041.27i 1.69117 0.372255i 0.738028 0.674770i \(-0.235757\pi\)
0.953145 + 0.302515i \(0.0978261\pi\)
\(642\) −1927.39 + 6941.82i −0.118486 + 0.426747i
\(643\) −27160.4 + 16341.8i −1.66579 + 1.00227i −0.711816 + 0.702366i \(0.752127\pi\)
−0.953969 + 0.299904i \(0.903045\pi\)
\(644\) −5154.01 + 2384.50i −0.315367 + 0.145904i
\(645\) −5751.58 + 14435.4i −0.351114 + 0.881228i
\(646\) 3519.12 64906.3i 0.214331 3.95310i
\(647\) −10210.7 15059.6i −0.620438 0.915077i 0.379511 0.925187i \(-0.376092\pi\)
−0.999949 + 0.0101102i \(0.996782\pi\)
\(648\) 5422.13 0.328706
\(649\) −27121.5 + 8315.32i −1.64039 + 0.502935i
\(650\) −88056.7 −5.31364
\(651\) −462.706 682.440i −0.0278569 0.0410859i
\(652\) −1321.63 + 24376.1i −0.0793852 + 1.46417i
\(653\) 4697.36 11789.5i 0.281504 0.706521i −0.718437 0.695593i \(-0.755142\pi\)
0.999940 0.0109287i \(-0.00347877\pi\)
\(654\) −5411.07 + 2503.43i −0.323531 + 0.149681i
\(655\) 188.915 113.667i 0.0112695 0.00678065i
\(656\) −532.614 + 1918.30i −0.0316998 + 0.114172i
\(657\) −5646.43 + 1242.87i −0.335294 + 0.0738038i
\(658\) 1032.69 + 112.312i 0.0611833 + 0.00665408i
\(659\) −13954.6 8396.18i −0.824875 0.496311i 0.0394636 0.999221i \(-0.487435\pi\)
−0.864339 + 0.502910i \(0.832263\pi\)
\(660\) −55569.5 + 52638.3i −3.27734 + 3.10446i
\(661\) −1210.15 559.875i −0.0712094 0.0329450i 0.383961 0.923349i \(-0.374560\pi\)
−0.455171 + 0.890404i \(0.650422\pi\)
\(662\) −57012.1 + 6200.44i −3.34719 + 0.364028i
\(663\) 18154.0 6116.80i 1.06341 0.358306i
\(664\) −10207.8 25619.6i −0.596595 1.49734i
\(665\) 8927.28 + 8456.37i 0.520579 + 0.493119i
\(666\) 685.556 + 2469.15i 0.0398870 + 0.143660i
\(667\) 2173.28 + 4099.23i 0.126161 + 0.237966i
\(668\) 9859.83 7495.25i 0.571090 0.434132i
\(669\) −290.347 5355.13i −0.0167795 0.309479i
\(670\) −54603.3 18398.0i −3.14852 1.06086i
\(671\) 11806.1 + 2598.72i 0.679240 + 0.149512i
\(672\) 3705.75 6989.79i 0.212727 0.401246i
\(673\) −2351.62 14344.3i −0.134693 0.821591i −0.964605 0.263697i \(-0.915058\pi\)
0.829912 0.557894i \(-0.188390\pi\)
\(674\) −35149.7 + 41381.4i −2.00878 + 2.36492i
\(675\) −4703.80 5537.75i −0.268221 0.315775i
\(676\) −5167.73 + 31521.7i −0.294022 + 1.79345i
\(677\) −14035.7 10669.7i −0.796805 0.605716i 0.125537 0.992089i \(-0.459935\pi\)
−0.922343 + 0.386373i \(0.873728\pi\)
\(678\) −1012.75 + 1493.70i −0.0573666 + 0.0846094i
\(679\) 1866.30 2752.59i 0.105482 0.155574i
\(680\) 110276. + 83829.8i 6.21897 + 4.72754i
\(681\) 1310.30 7992.48i 0.0737310 0.449739i
\(682\) 11212.5 + 13200.4i 0.629544 + 0.741156i
\(683\) 5228.04 6154.92i 0.292892 0.344819i −0.595959 0.803015i \(-0.703228\pi\)
0.888852 + 0.458195i \(0.151504\pi\)
\(684\) 3490.07 + 21288.5i 0.195097 + 1.19004i
\(685\) 3464.68 6535.08i 0.193253 0.364515i
\(686\) 18208.2 + 4007.92i 1.01340 + 0.223066i
\(687\) 15737.3 + 5302.52i 0.873969 + 0.294474i
\(688\) 2730.55 + 50362.1i 0.151310 + 2.79075i
\(689\) 24719.8 18791.5i 1.36683 1.03904i
\(690\) 7767.86 + 14651.7i 0.428576 + 0.808380i
\(691\) 513.624 + 1849.90i 0.0282766 + 0.101843i 0.976342 0.216233i \(-0.0693770\pi\)
−0.948065 + 0.318076i \(0.896963\pi\)
\(692\) 21274.2 + 20152.0i 1.16867 + 1.10703i
\(693\) 1106.37 + 2776.77i 0.0606457 + 0.152209i
\(694\) 3162.68 1065.63i 0.172988 0.0582865i
\(695\) 44304.5 4818.41i 2.41808 0.262982i
\(696\) −16221.7 7504.94i −0.883449 0.408727i
\(697\) −779.398 + 738.285i −0.0423555 + 0.0401213i
\(698\) 31080.1 + 18700.3i 1.68538 + 1.01406i
\(699\) 17219.8 + 1872.77i 0.931780 + 0.101337i
\(700\) −28630.3 + 6302.01i −1.54589 + 0.340277i
\(701\) 286.744 1032.76i 0.0154496 0.0556445i −0.955423 0.295239i \(-0.904601\pi\)
0.970873 + 0.239595i \(0.0770145\pi\)
\(702\) −7570.29 + 4554.89i −0.407012 + 0.244891i
\(703\) −5647.79 + 2612.95i −0.303002 + 0.140184i
\(704\) −25681.9 + 64456.7i −1.37489 + 3.45072i
\(705\) 118.181 2179.72i 0.00631341 0.116444i
\(706\) −33228.7 49008.7i −1.77136 2.61256i
\(707\) −8274.99 −0.440188
\(708\) −17479.7 21764.2i −0.927864 1.15529i
\(709\) 33358.2 1.76699 0.883494 0.468442i \(-0.155185\pi\)
0.883494 + 0.468442i \(0.155185\pi\)
\(710\) −25699.4 37903.8i −1.35842 2.00352i
\(711\) −432.533 + 7977.59i −0.0228147 + 0.420792i
\(712\) 13527.4 33951.3i 0.712025 1.78705i
\(713\) 2450.72 1133.83i 0.128724 0.0595541i
\(714\) 7594.00 4569.16i 0.398037 0.239491i
\(715\) 20365.5 73350.0i 1.06521 3.83655i
\(716\) −28066.5 + 6177.91i −1.46494 + 0.322457i
\(717\) −10257.9 1115.62i −0.534294 0.0581080i
\(718\) −20389.8 12268.1i −1.05981 0.637665i
\(719\) −10169.0 + 9632.55i −0.527452 + 0.499629i −0.904447 0.426586i \(-0.859716\pi\)
0.376995 + 0.926215i \(0.376957\pi\)
\(720\) −31345.6 14502.0i −1.62247 0.750636i
\(721\) 4360.47 474.230i 0.225232 0.0244955i
\(722\) −34268.9 + 11546.6i −1.76642 + 0.595178i
\(723\) 4261.75 + 10696.2i 0.219220 + 0.550201i
\(724\) 33647.0 + 31872.2i 1.72719 + 1.63608i
\(725\) 6407.64 + 23078.2i 0.328240 + 1.18221i
\(726\) −19419.9 36629.8i −0.992755 1.87254i
\(727\) −10340.0 + 7860.29i −0.527497 + 0.400993i −0.834745 0.550637i \(-0.814385\pi\)
0.307248 + 0.951630i \(0.400592\pi\)
\(728\) 1177.92 + 21725.5i 0.0599681 + 1.10605i
\(729\) −690.839 232.771i −0.0350983 0.0118260i
\(730\) 66527.8 + 14643.9i 3.37302 + 0.742458i
\(731\) −12739.4 + 24029.0i −0.644573 + 1.21579i
\(732\) 1924.50 + 11738.9i 0.0971743 + 0.592737i
\(733\) −14114.3 + 16616.7i −0.711220 + 0.837312i −0.992491 0.122316i \(-0.960968\pi\)
0.281272 + 0.959628i \(0.409244\pi\)
\(734\) 30132.4 + 35474.6i 1.51527 + 1.78391i
\(735\) 3033.61 18504.2i 0.152240 0.928622i
\(736\) 20626.7 + 15680.0i 1.03303 + 0.785290i
\(737\) 19087.5 28152.0i 0.954001 1.40705i
\(738\) 277.852 409.802i 0.0138589 0.0204404i
\(739\) 7550.68 + 5739.88i 0.375854 + 0.285717i 0.775998 0.630736i \(-0.217247\pi\)
−0.400144 + 0.916452i \(0.631040\pi\)
\(740\) 3515.05 21440.9i 0.174616 1.06511i
\(741\) −13889.6 16352.1i −0.688594 0.810676i
\(742\) 9300.01 10948.8i 0.460127 0.541703i
\(743\) −3119.47 19027.9i −0.154027 0.939525i −0.944856 0.327487i \(-0.893798\pi\)
0.790828 0.612038i \(-0.209650\pi\)
\(744\) −4872.58 + 9190.66i −0.240104 + 0.452884i
\(745\) 33012.7 + 7266.65i 1.62348 + 0.357355i
\(746\) −1259.67 424.431i −0.0618226 0.0208304i
\(747\) 200.741 + 3702.44i 0.00983228 + 0.181346i
\(748\) −106651. + 81074.3i −5.21332 + 3.96306i
\(749\) −1117.34 2107.52i −0.0545082 0.102813i
\(750\) 12264.3 + 44172.0i 0.597104 + 2.15058i
\(751\) −14864.3 14080.2i −0.722244 0.684146i 0.235465 0.971883i \(-0.424339\pi\)
−0.957710 + 0.287736i \(0.907097\pi\)
\(752\) −2622.53 6582.04i −0.127172 0.319179i
\(753\) −3425.06 + 1154.04i −0.165758 + 0.0558505i
\(754\) 28953.0 3148.83i 1.39842 0.152087i
\(755\) −52888.4 24468.8i −2.54941 1.17948i
\(756\) −2135.39 + 2022.74i −0.102729 + 0.0973102i
\(757\) 1369.23 + 823.836i 0.0657403 + 0.0395546i 0.548045 0.836449i \(-0.315372\pi\)
−0.482304 + 0.876004i \(0.660200\pi\)
\(758\) 37735.6 + 4103.99i 1.80820 + 0.196654i
\(759\) −9560.40 + 2104.40i −0.457207 + 0.100639i
\(760\) 41504.2 149485.i 1.98094 7.13470i
\(761\) −23421.1 + 14092.0i −1.11566 + 0.671269i −0.949167 0.314774i \(-0.898071\pi\)
−0.166491 + 0.986043i \(0.553244\pi\)
\(762\) 7716.72 3570.13i 0.366860 0.169727i
\(763\) 730.676 1833.86i 0.0346687 0.0870120i
\(764\) 930.145 17155.5i 0.0440464 0.812389i
\(765\) −10451.6 15415.0i −0.493959 0.728536i
\(766\) 16799.5 0.792414
\(767\) 26055.2 + 9584.45i 1.22660 + 0.451205i
\(768\) −4558.65 −0.214188
\(769\) 2988.63 + 4407.90i 0.140147 + 0.206701i 0.891285 0.453444i \(-0.149805\pi\)
−0.751138 + 0.660145i \(0.770495\pi\)
\(770\) 1906.67 35166.4i 0.0892357 1.64585i
\(771\) 531.408 1333.73i 0.0248226 0.0622999i