Properties

Label 108.4.l.a.11.19
Level 108
Weight 4
Character 108.11
Analytic conductor 6.372
Analytic rank 0
Dimension 312
CM no
Inner twists 4

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 108 = 2^{2} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 108.l (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.37220628062\)
Analytic rank: \(0\)
Dimension: \(312\)
Relative dimension: \(52\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 11.19
Character \(\chi\) \(=\) 108.11
Dual form 108.4.l.a.59.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.17164 + 2.57435i) q^{2} +(4.92086 + 1.66888i) q^{3} +(-5.25451 - 6.03242i) q^{4} +(3.67143 - 10.0872i) q^{5} +(-10.0618 + 10.7127i) q^{6} +(6.04634 + 1.06613i) q^{7} +(21.6859 - 6.45911i) q^{8} +(21.4296 + 16.4247i) q^{9} +O(q^{10})\) \(q+(-1.17164 + 2.57435i) q^{2} +(4.92086 + 1.66888i) q^{3} +(-5.25451 - 6.03242i) q^{4} +(3.67143 - 10.0872i) q^{5} +(-10.0618 + 10.7127i) q^{6} +(6.04634 + 1.06613i) q^{7} +(21.6859 - 6.45911i) q^{8} +(21.4296 + 16.4247i) q^{9} +(21.6662 + 21.2701i) q^{10} +(31.0921 - 11.3166i) q^{11} +(-15.7893 - 38.4538i) q^{12} +(33.3096 - 27.9501i) q^{13} +(-9.82873 + 14.3162i) q^{14} +(34.9009 - 43.5103i) q^{15} +(-8.78017 + 63.3949i) q^{16} +(-97.6451 + 56.3755i) q^{17} +(-67.3907 + 35.9235i) q^{18} +(87.7369 + 50.6549i) q^{19} +(-80.1416 + 30.8555i) q^{20} +(27.9739 + 15.3369i) q^{21} +(-7.29595 + 93.3009i) q^{22} +(-28.7938 - 163.298i) q^{23} +(117.493 + 4.40701i) q^{24} +(7.48410 + 6.27990i) q^{25} +(32.9263 + 118.498i) q^{26} +(78.0413 + 116.587i) q^{27} +(-25.3392 - 42.0761i) q^{28} +(-127.814 + 152.323i) q^{29} +(71.1192 + 140.825i) q^{30} +(66.6999 - 11.7610i) q^{31} +(-152.913 - 96.8792i) q^{32} +(171.886 - 3.79823i) q^{33} +(-30.7248 - 317.424i) q^{34} +(32.9529 - 57.0762i) q^{35} +(-13.5218 - 215.576i) q^{36} +(98.0242 + 169.783i) q^{37} +(-233.199 + 166.516i) q^{38} +(210.557 - 81.9485i) q^{39} +(14.4643 - 242.464i) q^{40} +(-133.306 - 158.868i) q^{41} +(-72.2579 + 54.0451i) q^{42} +(-98.0684 - 269.441i) q^{43} +(-231.641 - 128.097i) q^{44} +(244.356 - 155.862i) q^{45} +(454.120 + 117.201i) q^{46} +(10.0291 - 56.8776i) q^{47} +(-149.005 + 297.304i) q^{48} +(-286.893 - 104.421i) q^{49} +(-24.9353 + 11.9089i) q^{50} +(-574.582 + 114.457i) q^{51} +(-343.633 - 54.0735i) q^{52} -127.223i q^{53} +(-391.572 + 64.3071i) q^{54} -355.179i q^{55} +(138.007 - 15.9338i) q^{56} +(347.203 + 395.688i) q^{57} +(-242.380 - 507.506i) q^{58} +(-190.496 - 69.3349i) q^{59} +(-445.859 + 18.0887i) q^{60} +(64.6265 - 366.515i) q^{61} +(-47.8715 + 185.488i) q^{62} +(112.060 + 122.156i) q^{63} +(428.560 - 280.144i) q^{64} +(-159.643 - 438.617i) q^{65} +(-191.611 + 446.944i) q^{66} +(310.659 + 370.229i) q^{67} +(853.158 + 292.811i) q^{68} +(130.835 - 851.617i) q^{69} +(108.325 + 151.705i) q^{70} +(18.1604 + 31.4547i) q^{71} +(570.811 + 217.768i) q^{72} +(-295.119 + 511.161i) q^{73} +(-551.929 + 53.4236i) q^{74} +(26.3477 + 43.3926i) q^{75} +(-155.443 - 795.433i) q^{76} +(200.059 - 35.2757i) q^{77} +(-35.7340 + 638.062i) q^{78} +(-697.087 + 830.756i) q^{79} +(607.238 + 321.317i) q^{80} +(189.460 + 703.950i) q^{81} +(565.169 - 157.040i) q^{82} +(747.142 + 626.926i) q^{83} +(-54.4705 - 249.338i) q^{84} +(210.171 + 1191.94i) q^{85} +(808.535 + 63.2259i) q^{86} +(-883.165 + 536.253i) q^{87} +(601.167 - 446.239i) q^{88} +(-646.453 - 373.230i) q^{89} +(114.946 + 811.671i) q^{90} +(231.200 - 133.483i) q^{91} +(-833.782 + 1031.75i) q^{92} +(347.848 + 53.4403i) q^{93} +(134.672 + 92.4584i) q^{94} +(833.084 - 699.040i) q^{95} +(-590.783 - 731.923i) q^{96} +(-842.323 + 306.580i) q^{97} +(604.950 - 616.218i) q^{98} +(852.165 + 268.167i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 312q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 9q^{8} - 12q^{9} + O(q^{10}) \) \( 312q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 9q^{8} - 12q^{9} - 3q^{10} - 123q^{12} - 12q^{13} + 69q^{14} - 6q^{16} - 18q^{17} + 351q^{18} + 225q^{20} - 12q^{21} - 6q^{22} - 300q^{24} - 12q^{25} - 12q^{28} - 96q^{29} - 207q^{30} - 696q^{32} + 858q^{33} - 30q^{34} - 1056q^{36} - 6q^{37} - 900q^{38} - 381q^{40} + 138q^{41} + 2574q^{42} + 2655q^{44} - 672q^{45} - 3q^{46} - 435q^{48} - 12q^{49} - 2829q^{50} + 1371q^{52} - 4458q^{54} - 2925q^{56} + 660q^{57} + 885q^{58} + 966q^{60} - 12q^{61} + 1872q^{62} - 3q^{64} - 708q^{65} + 3093q^{66} + 2211q^{68} - 1572q^{69} - 1011q^{70} - 4524q^{72} - 6q^{73} - 5883q^{74} - 198q^{76} - 996q^{77} - 2976q^{78} + 444q^{81} - 12q^{82} + 6324q^{84} - 762q^{85} + 8322q^{86} + 1530q^{88} + 4212q^{89} - 1104q^{90} - 3255q^{92} + 7404q^{93} + 2019q^{94} + 582q^{96} - 66q^{97} + 2898q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(29\) \(55\)
\(\chi(n)\) \(e\left(\frac{13}{18}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.17164 + 2.57435i −0.414238 + 0.910169i
\(3\) 4.92086 + 1.66888i 0.947019 + 0.321177i
\(4\) −5.25451 6.03242i −0.656814 0.754052i
\(5\) 3.67143 10.0872i 0.328382 0.902223i −0.660139 0.751143i \(-0.729503\pi\)
0.988522 0.151080i \(-0.0482751\pi\)
\(6\) −10.0618 + 10.7127i −0.684616 + 0.728904i
\(7\) 6.04634 + 1.06613i 0.326472 + 0.0575658i 0.334482 0.942402i \(-0.391439\pi\)
−0.00801032 + 0.999968i \(0.502550\pi\)
\(8\) 21.6859 6.45911i 0.958392 0.285455i
\(9\) 21.4296 + 16.4247i 0.793691 + 0.608322i
\(10\) 21.6662 + 21.2701i 0.685147 + 0.672618i
\(11\) 31.0921 11.3166i 0.852239 0.310190i 0.121286 0.992618i \(-0.461298\pi\)
0.730953 + 0.682428i \(0.239076\pi\)
\(12\) −15.7893 38.4538i −0.379831 0.925056i
\(13\) 33.3096 27.9501i 0.710649 0.596305i −0.214132 0.976805i \(-0.568692\pi\)
0.924781 + 0.380500i \(0.124248\pi\)
\(14\) −9.82873 + 14.3162i −0.187631 + 0.273298i
\(15\) 34.9009 43.5103i 0.600758 0.748954i
\(16\) −8.78017 + 63.3949i −0.137190 + 0.990545i
\(17\) −97.6451 + 56.3755i −1.39308 + 0.804297i −0.993655 0.112467i \(-0.964125\pi\)
−0.399428 + 0.916764i \(0.630791\pi\)
\(18\) −67.3907 + 35.9235i −0.882452 + 0.470403i
\(19\) 87.7369 + 50.6549i 1.05938 + 0.611633i 0.925261 0.379332i \(-0.123846\pi\)
0.134119 + 0.990965i \(0.457179\pi\)
\(20\) −80.1416 + 30.8555i −0.896010 + 0.344975i
\(21\) 27.9739 + 15.3369i 0.290686 + 0.159371i
\(22\) −7.29595 + 93.3009i −0.0707046 + 0.904174i
\(23\) −28.7938 163.298i −0.261040 1.48043i −0.780080 0.625680i \(-0.784821\pi\)
0.519040 0.854750i \(1.67371\pi\)
\(24\) 117.493 + 4.40701i 0.999297 + 0.0374823i
\(25\) 7.48410 + 6.27990i 0.0598728 + 0.0502392i
\(26\) 32.9263 + 118.498i 0.248361 + 0.893822i
\(27\) 78.0413 + 116.587i 0.556261 + 0.831007i
\(28\) −25.3392 42.0761i −0.171024 0.283987i
\(29\) −127.814 + 152.323i −0.818432 + 0.975369i −0.999968 0.00801543i \(-0.997449\pi\)
0.181536 + 0.983384i \(0.441893\pi\)
\(30\) 71.1192 + 140.825i 0.432818 + 0.857036i
\(31\) 66.6999 11.7610i 0.386440 0.0681398i 0.0229470 0.999737i \(-0.492695\pi\)
0.363493 + 0.931597i \(0.381584\pi\)
\(32\) −152.913 96.8792i −0.844734 0.535187i
\(33\) 171.886 3.79823i 0.906712 0.0200360i
\(34\) −30.7248 317.424i −0.154978 1.60111i
\(35\) 32.9529 57.0762i 0.159145 0.275647i
\(36\) −13.5218 215.576i −0.0626010 0.998039i
\(37\) 98.0242 + 169.783i 0.435543 + 0.754382i 0.997340 0.0728930i \(-0.0232232\pi\)
−0.561797 + 0.827275i \(0.689890\pi\)
\(38\) −233.199 + 166.516i −0.995525 + 0.710853i
\(39\) 210.557 81.9485i 0.864517 0.336468i
\(40\) 14.4643 242.464i 0.0571752 0.958422i
\(41\) −133.306 158.868i −0.507779 0.605147i 0.449867 0.893095i \(-0.351471\pi\)
−0.957646 + 0.287948i \(0.907027\pi\)
\(42\) −72.2579 + 54.0451i −0.265468 + 0.198556i
\(43\) −98.0684 269.441i −0.347798 0.955566i −0.983062 0.183272i \(-0.941331\pi\)
0.635265 0.772294i \(1.71911\pi\)
\(44\) −231.641 128.097i −0.793662 0.438896i
\(45\) 244.356 155.862i 0.809476 0.516324i
\(46\) 454.120 + 117.201i 1.45557 + 0.375660i
\(47\) 10.0291 56.8776i 0.0311253 0.176520i −0.965282 0.261210i \(-0.915879\pi\)
0.996407 + 0.0846893i \(0.0269898\pi\)
\(48\) −149.005 + 297.304i −0.448062 + 0.894003i
\(49\) −286.893 104.421i −0.836423 0.304433i
\(50\) −24.9353 + 11.9089i −0.0705277 + 0.0336834i
\(51\) −574.582 + 114.457i −1.57760 + 0.314259i
\(52\) −343.633 54.0735i −0.916410 0.144205i
\(53\) 127.223i 0.329726i −0.986317 0.164863i \(-0.947282\pi\)
0.986317 0.164863i \(-0.0527181\pi\)
\(54\) −391.572 + 64.3071i −0.986781 + 0.162057i
\(55\) 355.179i 0.870771i
\(56\) 138.007 15.9338i 0.329320 0.0380223i
\(57\) 347.203 + 395.688i 0.806811 + 0.919477i
\(58\) −242.380 507.506i −0.548725 1.14895i
\(59\) −190.496 69.3349i −0.420347 0.152994i 0.123182 0.992384i \(-0.460690\pi\)
−0.543529 + 0.839390i \(0.682912\pi\)
\(60\) −445.859 + 18.0887i −0.959337 + 0.0389207i
\(61\) 64.6265 366.515i 0.135649 0.769302i −0.838757 0.544506i \(-0.816717\pi\)
0.974406 0.224796i \(-0.0721716\pi\)
\(62\) −47.8715 + 185.488i −0.0980594 + 0.379952i
\(63\) 112.060 + 122.156i 0.224099 + 0.244289i
\(64\) 428.560 280.144i 0.837031 0.547155i
\(65\) −159.643 438.617i −0.304636 0.836980i
\(66\) −191.611 + 446.944i −0.357358 + 0.833561i
\(67\) 310.659 + 370.229i 0.566463 + 0.675085i 0.970901 0.239481i \(-0.0769772\pi\)
−0.404438 + 0.914566i \(0.632533\pi\)
\(68\) 853.158 + 292.811i 1.52148 + 0.522184i
\(69\) 130.835 851.617i 0.228270 1.48584i
\(70\) 108.325 + 151.705i 0.184961 + 0.259032i
\(71\) 18.1604 + 31.4547i 0.0303555 + 0.0525772i 0.880804 0.473481i \(-0.157003\pi\)
−0.850449 + 0.526058i \(0.823669\pi\)
\(72\) 570.811 + 217.768i 0.934315 + 0.356448i
\(73\) −295.119 + 511.161i −0.473165 + 0.819545i −0.999528 0.0307142i \(-0.990222\pi\)
0.526363 + 0.850260i \(0.323555\pi\)
\(74\) −551.929 + 53.4236i −0.867033 + 0.0839238i
\(75\) 26.3477 + 43.3926i 0.0405650 + 0.0668073i
\(76\) −155.443 795.433i −0.234612 1.20056i
\(77\) 200.059 35.2757i 0.296088 0.0522083i
\(78\) −35.7340 + 638.062i −0.0518728 + 0.926235i
\(79\) −697.087 + 830.756i −0.992765 + 1.18313i −0.00968573 + 0.999953i \(0.503083\pi\)
−0.983080 + 0.183179i \(0.941361\pi\)
\(80\) 607.238 + 321.317i 0.848642 + 0.449054i
\(81\) 189.460 + 703.950i 0.259890 + 0.965638i
\(82\) 565.169 157.040i 0.761127 0.211490i
\(83\) 747.142 + 626.926i 0.988066 + 0.829086i 0.985287 0.170911i \(-0.0546709\pi\)
0.00277909 + 0.999996i \(0.499115\pi\)
\(84\) −54.4705 249.338i −0.0707526 0.323870i
\(85\) 210.171 + 1191.94i 0.268192 + 1.52099i
\(86\) 808.535 + 63.2259i 1.01380 + 0.0792770i
\(87\) −883.165 + 536.253i −1.08834 + 0.660832i
\(88\) 601.167 446.239i 0.728234 0.540559i
\(89\) −646.453 373.230i −0.769931 0.444520i 0.0629191 0.998019i \(-0.479959\pi\)
−0.832850 + 0.553499i \(0.813292\pi\)
\(90\) 114.946 + 811.671i 0.134627 + 0.950640i
\(91\) 231.200 133.483i 0.266333 0.153768i
\(92\) −833.782 + 1031.75i −0.944867 + 1.16921i
\(93\) 347.848 + 53.4403i 0.387851 + 0.0595860i
\(94\) 134.672 + 92.4584i 0.147770 + 0.101451i
\(95\) 833.084 699.040i 0.899712 0.754948i
\(96\) −590.783 731.923i −0.628089 0.778141i
\(97\) −842.323 + 306.580i −0.881700 + 0.320913i −0.742896 0.669407i \(-0.766548\pi\)
−0.138804 + 0.990320i \(0.544326\pi\)
\(98\) 604.950 616.218i 0.623563 0.635178i
\(99\) 852.165 + 268.167i 0.865109 + 0.272241i
\(100\) −1.44228 78.1451i −0.00144228 0.0781451i
\(101\) −1891.54 333.530i −1.86352 0.328589i −0.875538 0.483149i \(-0.839493\pi\)
−0.987983 + 0.154560i \(0.950604\pi\)
\(102\) 378.552 1613.27i 0.367473 1.56606i
\(103\) 211.878 582.130i 0.202689 0.556884i −0.796148 0.605102i \(-0.793132\pi\)
0.998837 + 0.0482187i \(0.0153544\pi\)
\(104\) 541.818 821.275i 0.510862 0.774352i
\(105\) 257.410 225.869i 0.239244 0.209929i
\(106\) 327.517 + 149.060i 0.300106 + 0.136585i
\(107\) −2052.44 −1.85436 −0.927182 0.374612i \(-0.877776\pi\)
−0.927182 + 0.374612i \(0.877776\pi\)
\(108\) 293.233 1083.39i 0.261263 0.965268i
\(109\) 294.553 0.258836 0.129418 0.991590i \(-0.458689\pi\)
0.129418 + 0.991590i \(0.458689\pi\)
\(110\) 914.355 + 416.143i 0.792548 + 0.360706i
\(111\) 199.015 + 999.068i 0.170177 + 0.854301i
\(112\) −120.675 + 373.946i −0.101810 + 0.315487i
\(113\) −274.127 + 753.158i −0.228210 + 0.627001i −0.999960 0.00892451i \(-0.997159\pi\)
0.771750 + 0.635925i \(0.219381\pi\)
\(114\) −1425.44 + 430.217i −1.17109 + 0.353452i
\(115\) −1752.92 309.088i −1.42140 0.250631i
\(116\) 1590.48 29.3546i 1.27304 0.0234958i
\(117\) 1172.89 51.8607i 0.926781 0.0409788i
\(118\) 401.685 409.167i 0.313374 0.319211i
\(119\) −650.499 + 236.762i −0.501102 + 0.182386i
\(120\) 475.821 1168.99i 0.361969 0.889281i
\(121\) −180.950 + 151.835i −0.135951 + 0.114076i
\(122\) 867.817 + 595.795i 0.644004 + 0.442137i
\(123\) −390.848 1004.24i −0.286517 0.736173i
\(124\) −421.423 340.563i −0.305200 0.246641i
\(125\) 1252.87 723.345i 0.896482 0.517584i
\(126\) −445.766 + 145.358i −0.315175 + 0.102774i
\(127\) 502.438 + 290.083i 0.351056 + 0.202682i 0.665150 0.746709i \(-0.268367\pi\)
−0.314094 + 0.949392i \(0.601701\pi\)
\(128\) 219.068 + 1431.49i 0.151274 + 0.988492i
\(129\) −32.9150 1489.54i −0.0224652 1.01664i
\(130\) 1316.20 + 102.924i 0.887984 + 0.0694387i
\(131\) 273.117 + 1548.92i 0.182155 + 1.03305i 0.929556 + 0.368680i \(0.120190\pi\)
−0.747401 + 0.664373i \(0.768699\pi\)
\(132\) −926.090 1016.93i −0.610650 0.670549i
\(133\) 476.482 + 399.816i 0.310648 + 0.260665i
\(134\) −1317.08 + 365.968i −0.849092 + 0.235932i
\(135\) 1462.56 359.174i 0.932421 0.228984i
\(136\) −1753.39 + 1853.25i −1.10553 + 1.16849i
\(137\) 759.057 904.609i 0.473362 0.564131i −0.475543 0.879692i \(-0.657748\pi\)
0.948905 + 0.315561i \(0.102193\pi\)
\(138\) 2039.07 + 1334.60i 1.25780 + 0.823254i
\(139\) −1664.04 + 293.414i −1.01541 + 0.179044i −0.656497 0.754328i \(-0.727963\pi\)
−0.358910 + 0.933372i \(0.616852\pi\)
\(140\) −517.459 + 101.122i −0.312381 + 0.0610452i
\(141\) 144.274 263.149i 0.0861705 0.157171i
\(142\) −102.253 + 9.89747i −0.0604285 + 0.00584913i
\(143\) 719.367 1245.98i 0.420675 0.728630i
\(144\) −1229.40 + 1214.32i −0.711456 + 0.702730i
\(145\) 1067.25 + 1848.53i 0.611242 + 1.05870i
\(146\) −970.131 1358.63i −0.549922 0.770146i
\(147\) −1237.49 992.630i −0.694331 0.556944i
\(148\) 509.132 1483.45i 0.282773 0.823911i
\(149\) −863.471 1029.04i −0.474754 0.565789i 0.474518 0.880246i \(-0.342622\pi\)
−0.949272 + 0.314456i \(0.898178\pi\)
\(150\) −142.578 + 16.9876i −0.0776094 + 0.00924689i
\(151\) 538.096 + 1478.41i 0.289998 + 0.796762i 0.996066 + 0.0886181i \(0.0282451\pi\)
−0.706068 + 0.708144i \(0.749533\pi\)
\(152\) 2229.84 + 531.798i 1.18990 + 0.283779i
\(153\) −3018.45 395.684i −1.59495 0.209080i
\(154\) −143.585 + 556.350i −0.0751325 + 0.291117i
\(155\) 126.249 715.992i 0.0654228 0.371031i
\(156\) −1600.73 839.571i −0.821542 0.430894i
\(157\) 416.305 + 151.523i 0.211623 + 0.0770243i 0.445656 0.895204i \(-0.352970\pi\)
−0.234034 + 0.972228i \(0.575193\pi\)
\(158\) −1321.92 2767.89i −0.665609 1.39368i
\(159\) 212.321 626.047i 0.105900 0.312256i
\(160\) −1538.65 + 1186.77i −0.760254 + 0.586392i
\(161\) 1018.05i 0.498345i
\(162\) −2034.19 337.043i −0.986550 0.163460i
\(163\) 1494.16i 0.717983i −0.933341 0.358992i \(-0.883121\pi\)
0.933341 0.358992i \(-0.116879\pi\)
\(164\) −257.900 + 1638.93i −0.122796 + 0.780361i
\(165\) 592.753 1747.79i 0.279671 0.824636i
\(166\) −2489.31 + 1188.87i −1.16390 + 0.555868i
\(167\) 3382.51 + 1231.13i 1.56734 + 0.570466i 0.972404 0.233305i \(-0.0749540\pi\)
0.594939 + 0.803771i \(0.297176\pi\)
\(168\) 705.703 + 151.909i 0.324084 + 0.0697622i
\(169\) −53.1813 + 301.606i −0.0242063 + 0.137281i
\(170\) −3314.71 855.473i −1.49545 0.385952i
\(171\) 1048.18 + 2526.57i 0.468750 + 1.12989i
\(172\) −1110.08 + 2007.37i −0.492108 + 0.889887i
\(173\) 660.283 + 1814.11i 0.290175 + 0.797251i 0.996040 + 0.0889040i \(0.0283364\pi\)
−0.705865 + 0.708347i \(0.749441\pi\)
\(174\) −345.747 2901.87i −0.150638 1.26431i
\(175\) 38.5562 + 45.9495i 0.0166547 + 0.0198483i
\(176\) 444.421 + 2070.44i 0.190338 + 0.886736i
\(177\) −821.692 659.103i −0.348939 0.279894i
\(178\) 1718.23 1226.90i 0.723522 0.516630i
\(179\) −1901.75 3293.93i −0.794097 1.37542i −0.923411 0.383813i \(-0.874611\pi\)
0.129313 0.991604i \(1.54128\pi\)
\(180\) −2224.20 655.076i −0.921011 0.271258i
\(181\) −820.925 + 1421.88i −0.337121 + 0.583911i −0.983890 0.178775i \(-0.942786\pi\)
0.646769 + 0.762686i \(0.276120\pi\)
\(182\) 72.7489 + 751.583i 0.0296292 + 0.306105i
\(183\) 929.689 1695.71i 0.375544 0.684976i
\(184\) −1679.18 3355.28i −0.672775 1.34432i
\(185\) 2072.52 365.441i 0.823645 0.145231i
\(186\) −545.127 + 832.869i −0.214896 + 0.328327i
\(187\) −2398.02 + 2857.84i −0.937756 + 1.11757i
\(188\) −395.807 + 238.365i −0.153549 + 0.0924709i
\(189\) 347.567 + 788.128i 0.133766 + 0.303322i
\(190\) 823.496 + 2963.67i 0.314435 + 1.13162i
\(191\) 1295.85 + 1087.34i 0.490912 + 0.411924i 0.854353 0.519693i \(-0.173954\pi\)
−0.363441 + 0.931617i \(0.618398\pi\)
\(192\) 2576.41 663.329i 0.968418 0.249331i
\(193\) 54.7577 + 310.546i 0.0204225 + 0.115822i 0.993315 0.115437i \(-0.0368268\pi\)
−0.972892 + 0.231259i \(0.925716\pi\)
\(194\) 197.656 2527.63i 0.0731488 0.935430i
\(195\) −53.5816 2424.80i −0.0196772 0.890478i
\(196\) 877.575 + 2279.34i 0.319816 + 0.830663i
\(197\) −1159.02 669.163i −0.419173 0.242010i 0.275551 0.961287i \(-0.411140\pi\)
−0.694723 + 0.719277i \(0.744473\pi\)
\(198\) −1688.79 + 1879.57i −0.606146 + 0.674623i
\(199\) 4652.47 2686.11i 1.65731 0.956850i 0.683365 0.730077i \(-0.260516\pi\)
0.973948 0.226773i \(-0.0728174\pi\)
\(200\) 202.862 + 87.8450i 0.0717226 + 0.0310579i
\(201\) 910.839 + 2340.30i 0.319630 + 0.821253i
\(202\) 3074.83 4478.71i 1.07101 1.56000i
\(203\) −935.205 + 784.730i −0.323343 + 0.271317i
\(204\) 3709.60 + 2864.70i 1.27316 + 0.983183i
\(205\) −2091.95 + 761.408i −0.712723 + 0.259410i
\(206\) 1250.36 + 1227.50i 0.422897 + 0.415163i
\(207\) 2065.07 3972.34i 0.693393 1.33380i
\(208\) 1479.43 + 2357.07i 0.493173 + 0.785737i
\(209\) 3301.17 + 582.085i 1.09257 + 0.192649i
\(210\) 279.872 + 927.300i 0.0919668 + 0.304713i
\(211\) 1280.22 3517.39i 0.417698 1.14762i −0.535306 0.844658i \(-0.679804\pi\)
0.953004 0.302958i \(-0.0979741\pi\)
\(212\) −767.464 + 668.496i −0.248630 + 0.216568i
\(213\) 36.8703 + 185.091i 0.0118606 + 0.0595411i
\(214\) 2404.72 5283.69i 0.768147 1.68778i
\(215\) −3077.94 −0.976344
\(216\) 2445.45 + 2024.22i 0.770332 + 0.637643i
\(217\) 415.829 0.130084
\(218\) −345.111 + 758.282i −0.107219 + 0.235584i
\(219\) −2305.30 + 2022.83i −0.711315 + 0.624156i
\(220\) −2142.59 + 1866.30i −0.656607 + 0.571935i
\(221\) −1676.83 + 4607.04i −0.510387 + 1.40228i
\(222\) −2805.12 658.216i −0.848051 0.198994i
\(223\) −705.067 124.322i −0.211725 0.0373329i 0.0667792 0.997768i \(-0.478728\pi\)
−0.278505 + 0.960435i \(0.589839\pi\)
\(224\) −821.278 748.790i −0.244973 0.223351i
\(225\) 57.2362 + 257.500i 0.0169589 + 0.0762963i
\(226\) −1617.71 1588.13i −0.476144 0.467437i
\(227\) 5206.35 1894.96i 1.52228 0.554064i 0.560563 0.828112i \(-0.310585\pi\)
0.961716 + 0.274048i \(0.0883626\pi\)
\(228\) 562.573 4173.63i 0.163409 1.21230i
\(229\) 4236.13 3554.53i 1.22241 1.02572i 0.223712 0.974655i \(-0.428183\pi\)
0.998695 0.0510659i \(-0.0162619\pi\)
\(230\) 2849.50 4150.49i 0.816914 1.18989i
\(231\) 1043.33 + 160.288i 0.297169 + 0.0456544i
\(232\) −1787.90 + 4128.84i −0.505955 + 1.16841i
\(233\) 4224.82 2439.20i 1.18788 0.685825i 0.230059 0.973177i \(-0.426108\pi\)
0.957825 + 0.287352i \(0.0927749\pi\)
\(234\) −1240.69 + 3080.18i −0.346610 + 0.860502i
\(235\) −536.913 309.987i −0.149040 0.0860481i
\(236\) 582.707 + 1513.47i 0.160725 + 0.417452i
\(237\) −4816.70 + 2924.67i −1.32016 + 0.801595i
\(238\) 152.644 1952.01i 0.0415731 0.531639i
\(239\) 704.922 + 3997.81i 0.190785 + 1.08199i 0.918295 + 0.395898i \(0.129566\pi\)
−0.727510 + 0.686097i \(0.759322\pi\)
\(240\) 2451.89 + 2594.56i 0.659454 + 0.697826i
\(241\) −3225.14 2706.21i −0.862031 0.723330i 0.100374 0.994950i \(-0.467996\pi\)
−0.962405 + 0.271620i \(0.912441\pi\)
\(242\) −178.868 643.726i −0.0475127 0.170993i
\(243\) −242.508 + 3780.22i −0.0640203 + 0.997949i
\(244\) −2550.55 + 1536.00i −0.669190 + 0.403002i
\(245\) −2106.61 + 2510.56i −0.549333 + 0.654670i
\(246\) 3043.19 + 170.431i 0.788728 + 0.0441719i
\(247\) 4338.29 764.958i 1.11757 0.197057i
\(248\) 1370.48 685.869i 0.350910 0.175616i
\(249\) 2630.31 + 4331.91i 0.669434 + 1.10250i
\(250\) 394.226 + 4072.82i 0.0997322 + 1.03035i
\(251\) −2460.69 + 4262.05i −0.618795 + 1.07178i 0.370911 + 0.928668i \(0.379046\pi\)
−0.989706 + 0.143116i \(0.954288\pi\)
\(252\) 148.076 1317.86i 0.0370154 0.329435i
\(253\) −2743.23 4751.42i −0.681682 1.18071i
\(254\) −1335.45 + 953.576i −0.329896 + 0.235562i
\(255\) −954.989 + 6216.12i −0.234524 + 1.52654i
\(256\) −3941.82 1113.24i −0.962358 0.271786i
\(257\) −465.101 554.286i −0.112888 0.134535i 0.706641 0.707572i \(-0.250209\pi\)
−0.819529 + 0.573037i \(0.805765\pi\)
\(258\) 3873.17 + 1660.48i 0.934623 + 0.400685i
\(259\) 411.676 + 1131.07i 0.0987657 + 0.271357i
\(260\) −1807.07 + 3267.75i −0.431038 + 0.779452i
\(261\) −5240.87 + 1164.92i −1.24292 + 0.276272i
\(262\) −4307.46 1111.68i −1.01571 0.262138i
\(263\) 516.571 2929.62i 0.121115 0.686875i −0.862425 0.506184i \(-0.831056\pi\)
0.983540 0.180691i \(-0.0578334\pi\)
\(264\) 3702.98 1192.60i 0.863267 0.278028i
\(265\) −1283.32 467.091i −0.297486 0.108276i
\(266\) −1587.53 + 758.189i −0.365931 + 0.174765i
\(267\) −2558.22 2915.46i −0.586370 0.668253i
\(268\) 601.015 3819.40i 0.136988 0.870549i
\(269\) 4379.11i 0.992562i 0.868162 + 0.496281i \(0.165301\pi\)
−0.868162 + 0.496281i \(0.834699\pi\)
\(270\) −788.952 + 4185.95i −0.177830 + 0.943514i
\(271\) 4153.54i 0.931031i −0.885040 0.465515i \(-0.845869\pi\)
0.885040 0.465515i \(-0.154131\pi\)
\(272\) −2716.57 6685.19i −0.605575 1.49025i
\(273\) 1360.47 271.006i 0.301609 0.0600808i
\(274\) 1439.43 + 3013.95i 0.317370 + 0.664524i
\(275\) 303.764 + 110.561i 0.0666096 + 0.0242439i
\(276\) −5824.79 + 3685.58i −1.27033 + 0.803790i
\(277\) 1199.20 6801.01i 0.260119 1.47521i −0.522462 0.852662i \(-0.674986\pi\)
0.782582 0.622548i \(-0.213902\pi\)
\(278\) 1194.30 4627.58i 0.257660 0.998359i
\(279\) 1622.52 + 843.490i 0.348165 + 0.180998i
\(280\) 345.955 1450.60i 0.0738383 0.309606i
\(281\) 343.835 + 944.680i 0.0729946 + 0.200551i 0.970824 0.239792i \(-0.0770791\pi\)
−0.897830 + 0.440343i \(0.854857\pi\)
\(282\) 508.400 + 679.727i 0.107357 + 0.143536i
\(283\) 5500.05 + 6554.70i 1.15528 + 1.37681i 0.913682 + 0.406431i \(0.133227\pi\)
0.241597 + 0.970377i \(0.422329\pi\)
\(284\) 94.3239 274.830i 0.0197081 0.0574231i
\(285\) 5266.10 2049.56i 1.09452 0.425983i
\(286\) 2364.74 + 3311.74i 0.488917 + 0.684711i
\(287\) −636.640 1102.69i −0.130940 0.226794i
\(288\) −1685.66 4587.64i −0.344891 0.938643i
\(289\) 3899.88 6754.80i 0.793789 1.37488i
\(290\) −6009.18 + 581.654i −1.21680 + 0.117779i
\(291\) −4656.60 + 102.898i −0.938056 + 0.0207286i
\(292\) 4634.24 905.621i 0.928762 0.181498i
\(293\) −4681.05 + 825.395i −0.933344 + 0.164574i −0.619586 0.784929i \(-0.712699\pi\)
−0.313759 + 0.949503i \(0.601588\pi\)
\(294\) 4005.27 2022.73i 0.794531 0.401252i
\(295\) −1398.79 + 1667.01i −0.276069 + 0.329007i
\(296\) 3222.39 + 3048.75i 0.632763 + 0.598666i
\(297\) 3745.84 + 2741.78i 0.731838 + 0.535670i
\(298\) 3660.80 1017.20i 0.711625 0.197735i
\(299\) −5523.30 4634.60i −1.06830 0.896407i
\(300\) 123.318 386.948i 0.0237325 0.0744681i
\(301\) −305.695 1733.68i −0.0585382 0.331986i
\(302\) −4436.39 346.917i −0.845316 0.0661021i
\(303\) −8751.39 4798.02i −1.65926 0.909700i
\(304\) −3981.61 + 5117.31i −0.751187 + 0.965453i
\(305\) −3459.82 1997.53i −0.649537 0.375011i
\(306\) 4555.17 7306.93i 0.850986 1.36506i
\(307\) −5956.82 + 3439.17i −1.10741 + 0.639362i −0.938156 0.346212i \(-0.887468\pi\)
−0.169250 + 0.985573i \(0.554135\pi\)
\(308\) −1264.01 1021.48i −0.233843 0.188975i
\(309\) 2014.13 2510.98i 0.370809 0.462280i
\(310\) 1695.29 + 1163.89i 0.310600 + 0.213241i
\(311\) −2593.96 + 2176.59i −0.472958 + 0.396859i −0.847872 0.530201i \(-0.822117\pi\)
0.374914 + 0.927060i \(0.377672\pi\)
\(312\) 4036.82 3137.14i 0.732500 0.569249i
\(313\) 5929.30 2158.09i 1.07075 0.389720i 0.254291 0.967128i \(-0.418158\pi\)
0.816456 + 0.577408i \(0.195936\pi\)
\(314\) −877.831 + 894.182i −0.157767 + 0.160706i
\(315\) 1643.63 681.881i 0.293993 0.121967i
\(316\) 8674.33 160.097i 1.54421 0.0285006i
\(317\) 5753.38 + 1014.48i 1.01938 + 0.179744i 0.658271 0.752781i \(-0.271288\pi\)
0.361106 + 0.932525i \(0.382399\pi\)
\(318\) 1362.90 + 1280.09i 0.240338 + 0.225736i
\(319\) −2250.24 + 6182.47i −0.394950 + 1.08512i
\(320\) −1252.43 5351.48i −0.218790 0.934865i
\(321\) −10099.8 3425.29i −1.75612 0.595579i
\(322\) 2620.81 + 1192.79i 0.453578 + 0.206433i
\(323\) −11422.8 −1.96774
\(324\) 3251.01 4841.82i 0.557443 0.830215i
\(325\) 424.817 0.0725064
\(326\) 3846.47 + 1750.61i 0.653486 + 0.297416i
\(327\) 1449.45 + 491.575i 0.245122 + 0.0831321i
\(328\) −3917.02 2584.17i −0.659393 0.435020i
\(329\) 121.278 333.209i 0.0203230 0.0558371i
\(330\) 3804.91 + 3573.73i 0.634708 + 0.596144i
\(331\) −1209.66 213.296i −0.200873 0.0354193i 0.0723062 0.997382i \(-0.476964\pi\)
−0.273179 + 0.961963i \(0.588075\pi\)
\(332\) −143.984 7801.26i −0.0238016 1.28961i
\(333\) −688.006 + 5248.40i −0.113221 + 0.863696i
\(334\) −7132.44 + 7265.30i −1.16847 + 1.19024i
\(335\) 4875.12 1774.40i 0.795094 0.289390i
\(336\) −1217.90 + 1638.74i −0.197743 + 0.266073i
\(337\) −3086.61 + 2589.97i −0.498926 + 0.418649i −0.857212 0.514963i \(-0.827806\pi\)
0.358286 + 0.933612i \(0.383361\pi\)
\(338\) −714.129 490.281i −0.114922 0.0788987i
\(339\) −2605.87 + 3248.69i −0.417497 + 0.520486i
\(340\) 6085.94 7530.91i 0.970754 1.20124i
\(341\) 1940.75 1120.49i 0.308203 0.177941i
\(342\) −7732.35 261.853i −1.22257 0.0414018i
\(343\) −3447.08 1990.17i −0.542638 0.313292i
\(344\) −3867.05 5209.64i −0.606097 0.816527i
\(345\) −8110.05 4446.40i −1.26560 0.693873i
\(346\) −5443.77 425.692i −0.845834 0.0661426i
\(347\) 1023.41 + 5804.05i 0.158327 + 0.897919i 0.955680 + 0.294406i \(0.0951218\pi\)
−0.797353 + 0.603513i \(0.793767\pi\)
\(348\) 7875.51 + 2509.88i 1.21314 + 0.386619i
\(349\) 4651.40 + 3902.99i 0.713421 + 0.598631i 0.925557 0.378609i \(-0.123597\pi\)
−0.212136 + 0.977240i \(0.568042\pi\)
\(350\) −163.464 + 45.4207i −0.0249643 + 0.00693668i
\(351\) 5858.15 + 1702.21i 0.890840 + 0.258853i
\(352\) −5850.74 1281.72i −0.885924 0.194080i
\(353\) −1425.14 + 1698.41i −0.214879 + 0.256083i −0.862707 0.505703i \(-0.831233\pi\)
0.647828 + 0.761787i \(0.275677\pi\)
\(354\) 2659.49 1343.09i 0.399294 0.201651i
\(355\) 383.963 67.7030i 0.0574046 0.0101220i
\(356\) 1145.32 + 5860.81i 0.170510 + 0.872535i
\(357\) −3596.14 + 79.4653i −0.533132 + 0.0117808i
\(358\) 10707.9 1036.46i 1.58081 0.153013i
\(359\) 2830.32 4902.27i 0.416097 0.720701i −0.579446 0.815011i \(-0.696731\pi\)
0.995543 + 0.0943096i \(0.0300644\pi\)
\(360\) 4292.35 4958.34i 0.628408 0.725910i
\(361\) 1702.34 + 2948.54i 0.248191 + 0.429879i
\(362\) −2698.59 3779.28i −0.391809 0.548715i
\(363\) −1143.83 + 445.175i −0.165387 + 0.0643681i
\(364\) −2020.07 693.305i −0.290880 0.0998326i
\(365\) 4072.65 + 4853.60i 0.584034 + 0.696025i
\(366\) 3276.09 + 4380.11i 0.467880 + 0.625552i
\(367\) −3425.21 9410.69i −0.487179 1.33851i −0.903224 0.429169i \(-0.858807\pi\)
0.416046 0.909344i \(1.63658\pi\)
\(368\) 10605.0 391.597i 1.50224 0.0554712i
\(369\) −247.346 5594.00i −0.0348952 0.789192i
\(370\) −1487.47 + 5763.54i −0.209000 + 0.809817i
\(371\) 135.637 769.235i 0.0189809 0.107646i
\(372\) −1505.40 2379.17i −0.209815 0.331597i
\(373\) −10364.5 3772.38i −1.43875 0.523663i −0.499326 0.866414i \(-0.666419\pi\)
−0.939426 + 0.342751i \(0.888641\pi\)
\(374\) −4547.47 9521.69i −0.628727 1.31646i
\(375\) 7372.38 1468.58i 1.01522 0.202233i
\(376\) −149.889 1298.22i −0.0205583 0.178061i
\(377\) 8646.25i 1.18118i
\(378\) −2436.14 28.6453i −0.331485 0.00389777i
\(379\) 2954.00i 0.400361i −0.979759 0.200180i \(-0.935847\pi\)
0.979759 0.200180i \(-0.0641528\pi\)
\(380\) −8594.35 1352.39i −1.16021 0.182569i
\(381\) 1988.31 + 2265.96i 0.267360 + 0.304695i
\(382\) −4317.47 + 2061.98i −0.578274 + 0.276178i
\(383\) −7673.68 2792.99i −1.02378 0.372624i −0.225069 0.974343i \(-0.572261\pi\)
−0.798708 + 0.601719i \(0.794483\pi\)
\(384\) −1310.99 + 7409.75i −0.174222 + 0.984706i
\(385\) 378.668 2147.54i 0.0501266 0.284282i
\(386\) −863.610 222.884i −0.113877 0.0293899i
\(387\) 2323.91 7384.76i 0.305248 0.969997i
\(388\) 6275.42 + 3470.31i 0.821098 + 0.454068i
\(389\) −295.533 811.971i −0.0385196 0.105832i 0.918942 0.394393i \(-0.129045\pi\)
−0.957461 + 0.288562i \(0.906823\pi\)
\(390\) 6305.04 + 2703.05i 0.818636 + 0.350960i
\(391\) 12017.5 + 14322.0i 1.55436 + 1.85241i
\(392\) −6896.01 411.385i −0.888523 0.0530053i
\(393\) −1241.00 + 8077.83i −0.159289 + 1.03683i
\(394\) 3080.62 2199.71i 0.393907 0.281268i
\(395\) 5820.67 + 10081.7i 0.741442 + 1.28422i
\(396\) −2860.01 6549.71i −0.362932 0.831149i
\(397\) 1950.48 3378.34i 0.246579 0.427088i −0.715995 0.698105i \(-0.754027\pi\)
0.962574 + 0.271017i \(0.0873601\pi\)
\(398\) 1463.94 + 15124.2i 0.184373 + 1.90480i
\(399\) 1677.45 + 2762.63i 0.210470 + 0.346628i
\(400\) −463.825 + 419.315i −0.0579782 + 0.0524143i
\(401\) 6578.38 1159.95i 0.819224 0.144451i 0.251697 0.967806i \(-0.419011\pi\)
0.567527 + 0.823355i \(0.307900\pi\)
\(402\) −7091.91 397.175i −0.879882 0.0492769i
\(403\) 1893.03 2256.02i 0.233991 0.278860i
\(404\) 7927.15 + 13163.1i 0.976214 + 1.62101i
\(405\) 7796.45 + 673.392i 0.956564 + 0.0826201i
\(406\) −924.442 3326.96i −0.113003 0.406686i
\(407\) 4969.15 + 4169.61i 0.605188 + 0.507813i
\(408\) −11721.1 + 6193.39i −1.42225 + 0.751516i
\(409\) 1689.24 + 9580.16i 0.204224 + 1.15821i 0.898656 + 0.438653i \(0.144544\pi\)
−0.694433 + 0.719558i \(0.744345\pi\)
\(410\) 490.889 6277.51i 0.0591299 0.756156i
\(411\) 5244.90 3184.67i 0.629469 0.382210i
\(412\) −4624.97 + 1780.67i −0.553048 + 0.212931i
\(413\) −1077.88 622.317i −0.128424 0.0741458i
\(414\) 7806.65 + 9970.36i 0.926754 + 1.18361i
\(415\) 9066.98 5234.82i 1.07248 0.619199i
\(416\) −7801.27 + 1046.93i −0.919444 + 0.123389i
\(417\) −8678.15 1333.23i −1.01911 0.156568i
\(418\) −5366.27 + 7816.35i −0.627926 + 0.914618i
\(419\) −4346.37 + 3647.04i −0.506764 + 0.425225i −0.859989 0.510313i \(-0.829529\pi\)
0.353225 + 0.935538i \(0.385085\pi\)
\(420\) −2715.10 365.975i −0.315437 0.0425184i
\(421\) −13952.2 + 5078.20i −1.61518 + 0.587877i −0.982455 0.186499i \(-0.940286\pi\)
−0.632725 + 0.774377i \(0.718064\pi\)
\(422\) 7555.01 + 7416.86i 0.871498 + 0.855562i
\(423\) 1149.12 1054.14i 0.132085 0.121168i
\(424\) −821.748 2758.96i −0.0941218 0.316006i
\(425\) −1084.82 191.283i −0.123815 0.0218319i
\(426\) −519.688 121.944i −0.0591056 0.0138690i
\(427\) 781.507 2147.17i 0.0885709 0.243347i
\(428\) 10784.6 + 12381.2i 1.21797 + 1.39829i
\(429\) 5619.30 4930.75i 0.632407 0.554916i
\(430\) 3606.25 7923.69i 0.404439 0.888638i
\(431\) 9184.34 1.02644 0.513218 0.858258i \(-0.328453\pi\)
0.513218 + 0.858258i \(0.328453\pi\)
\(432\) −8076.24 + 3923.76i −0.899464 + 0.436996i
\(433\) 5662.42 0.628449 0.314225 0.949349i \(-0.398256\pi\)
0.314225 + 0.949349i \(0.398256\pi\)
\(434\) −487.202 + 1070.49i −0.0538858 + 0.118399i
\(435\) 2166.79 + 10877.4i 0.238827 + 1.19893i
\(436\) −1547.73 1776.87i −0.170007 0.195176i
\(437\) 5745.55 15785.8i 0.628940 1.72800i
\(438\) −2506.47 8304.68i −0.273433 0.905966i
\(439\) −8910.57 1571.17i −0.968743 0.170816i −0.333179 0.942864i \(-0.608121\pi\)
−0.635564 + 0.772048i \(0.719232\pi\)
\(440\) −2294.14 7702.40i −0.248566 0.834540i
\(441\) −4432.94 6949.82i −0.478668 0.750440i
\(442\) −9895.47 9714.52i −1.06489 1.04541i
\(443\) 9211.64 3352.76i 0.987942 0.359581i 0.203019 0.979175i \(-0.434925\pi\)
0.784923 + 0.619593i \(0.212703\pi\)
\(444\) 4981.07 6450.16i 0.532413 0.689439i
\(445\) −6138.23 + 5150.59i −0.653888 + 0.548677i
\(446\) 1146.13 1669.43i 0.121684 0.177241i
\(447\) −2531.66 6504.81i −0.267882 0.688293i
\(448\) 2889.89 1236.94i 0.304764 0.130446i
\(449\) 5721.89 3303.53i 0.601409 0.347224i −0.168187 0.985755i \(-0.553791\pi\)
0.769596 + 0.638531i \(0.220458\pi\)
\(450\) −729.954 154.352i −0.0764675 0.0161694i
\(451\) −5942.62 3430.97i −0.620459 0.358222i
\(452\) 5983.77 2303.83i 0.622683 0.239741i
\(453\) 180.603 + 8173.05i 0.0187317 + 0.847690i
\(454\) −1221.70 + 15623.1i −0.126293 + 1.61505i
\(455\) −497.634 2822.23i −0.0512735 0.290787i
\(456\) 10085.2 + 6338.25i 1.03571 + 0.650912i
\(457\) 13837.8 + 11611.3i 1.41642 + 1.18852i 0.953226 + 0.302258i \(0.0977403\pi\)
0.463192 + 0.886258i \(0.346704\pi\)
\(458\) 4187.38 + 15069.9i 0.427212 + 1.53749i
\(459\) −14193.0 6984.55i −1.44330 0.710263i
\(460\) 7346.21 + 12198.5i 0.744606 + 1.23643i
\(461\) 5542.80 6605.65i 0.559986 0.667366i −0.409557 0.912284i \(-0.634317\pi\)
0.969544 + 0.244919i \(0.0787612\pi\)
\(462\) −1635.05 + 2498.09i −0.164652 + 0.251562i
\(463\) 4322.52 762.177i 0.433876 0.0765041i 0.0475555 0.998869i \(-0.484857\pi\)
0.386321 + 0.922365i \(0.373746\pi\)
\(464\) −8534.27 9440.19i −0.853866 0.944504i
\(465\) 1816.16 3312.60i 0.181123 0.330361i
\(466\) 1329.37 + 13734.0i 0.132150 + 1.36527i
\(467\) 6656.49 11529.4i 0.659584 1.14243i −0.321140 0.947032i \(-0.604066\pi\)
0.980724 0.195400i \(-0.0626007\pi\)
\(468\) −6475.79 6802.84i −0.639623 0.671926i
\(469\) 1483.64 + 2569.73i 0.146072 + 0.253005i
\(470\) 1427.08 1019.01i 0.140056 0.100007i
\(471\) 1795.70 + 1440.39i 0.175672 + 0.140912i
\(472\) −4578.93 273.158i −0.446530 0.0266380i
\(473\) −6098.31 7267.69i −0.592813 0.706487i
\(474\) −1885.68 15826.5i −0.182726 1.53362i
\(475\) 338.523 + 930.086i 0.0327000 + 0.0898426i
\(476\) 4846.31 + 2680.01i 0.466660 + 0.258063i
\(477\) 2089.60 2726.35i 0.200579 0.261700i
\(478\) −11117.7 2869.29i −1.06383 0.274557i
\(479\) 1115.16 6324.37i 0.106373 0.603273i −0.884289 0.466939i \(-0.845357\pi\)
0.990663 0.136334i \(-0.0435321\pi\)
\(480\) −9552.04 + 3272.12i −0.908311 + 0.311149i
\(481\) 8010.60 + 2915.62i 0.759360 + 0.276384i
\(482\) 10745.4 5131.91i 1.01544 0.484963i
\(483\) 1699.01 5009.68i 0.160057 0.471943i
\(484\) 1866.74 + 293.747i 0.175314 + 0.0275871i
\(485\) 9622.23i 0.900872i
\(486\) −9447.47 5053.37i −0.881782 0.471657i
\(487\) 4930.30i 0.458754i −0.973338 0.229377i \(-0.926331\pi\)
0.973338 0.229377i \(-0.0736689\pi\)
\(488\) −965.873 8365.65i −0.0895963 0.776015i
\(489\) 2493.57 7352.52i 0.230600 0.679944i
\(490\) −3994.86 8364.63i −0.368305 0.771175i
\(491\) 10571.0 + 3847.55i 0.971618 + 0.353640i 0.778576 0.627550i \(-0.215942\pi\)
0.193042 + 0.981190i \(0.438165\pi\)
\(492\) −4004.28 + 7634.55i −0.366925 + 0.699578i
\(493\) 3893.16 22079.2i 0.355657 2.01703i
\(494\) −3113.66 + 12064.5i −0.283583 + 1.09880i
\(495\) 5833.71 7611.37i 0.529709 0.691122i
\(496\) 159.950 + 4331.69i 0.0144798 + 0.392134i
\(497\) 76.2688 + 209.547i 0.00688355 + 0.0189124i
\(498\) −14233.6 + 1695.88i −1.28077 + 0.152599i
\(499\) −11050.0 13168.9i −0.991315 1.18140i −0.983403 0.181434i \(-0.941926\pi\)
−0.00791186 0.999969i \(1.49748\pi\)
\(500\) −10946.8 3757.02i −0.979107 0.336038i
\(501\) 14590.2 + 11703.2i 1.30108 + 1.04364i
\(502\) −8088.93 11328.3i −0.719177 1.00718i
\(503\) 5158.83 + 8935.36i 0.457298 + 0.792064i 0.998817 0.0486247i \(-0.0154838\pi\)
−0.541519 + 0.840689i \(0.682150\pi\)
\(504\) 3219.15 + 1925.26i 0.284508 + 0.170155i
\(505\) −10309.0 + 17855.8i −0.908408 + 1.57341i
\(506\) 15445.9 1495.07i 1.35702 0.131352i
\(507\) −765.043 + 1395.41i −0.0670153 + 0.122233i
\(508\) −890.166 4555.16i −0.0777456 0.397839i
\(509\) −17278.4 + 3046.65i −1.50462 + 0.265305i −0.864368 0.502859i \(-0.832281\pi\)
−0.640252 + 0.768165i \(0.721170\pi\)
\(510\) −14883.5 9741.53i −1.29226 0.845809i
\(511\) −2329.35 + 2776.01i −0.201653 + 0.240320i
\(512\) 7484.25 8843.29i 0.646016 0.763324i
\(513\) 941.391 + 14182.2i 0.0810204 + 1.22058i
\(514\) 1971.86 547.907i 0.169212 0.0470178i
\(515\) −5094.15 4274.50i −0.435874 0.365742i
\(516\) −8812.60 + 8025.39i −0.751847 + 0.684686i
\(517\) −331.837 1881.94i −0.0282286 0.160092i
\(518\) −3394.11 265.413i −0.287893 0.0225127i
\(519\) 221.613 + 10028.9i 0.0187432 + 0.848209i
\(520\) −6295.09 8480.66i −0.530880 0.715195i
\(521\) −9696.35 5598.19i −0.815364 0.470751i 0.0334509 0.999440i \(-0.489350\pi\)
−0.848815 + 0.528690i \(0.822684\pi\)
\(522\) 3141.51 14856.7i 0.263410 1.24571i
\(523\) −372.330 + 214.965i −0.0311298 + 0.0179728i −0.515484 0.856899i \(-0.672388\pi\)
0.484354 + 0.874872i \(0.339055\pi\)
\(524\) 7908.65 9786.39i 0.659334 0.815879i
\(525\) 113.045 + 290.457i 0.00939751 + 0.0241458i
\(526\) 6936.62 + 4762.30i 0.575002 + 0.394764i
\(527\) −5849.89 + 4908.64i −0.483539 + 0.405737i
\(528\) −1268.40 + 10930.0i −0.104546 + 0.900888i
\(529\) −14403.8 + 5242.55i −1.18384 + 0.430882i
\(530\) 2706.05 2756.45i 0.221779 0.225911i
\(531\) −2943.46 4614.66i −0.240556 0.377136i
\(532\) −91.8242 4975.18i −0.00748324 0.405454i
\(533\) −8880.76 1565.92i −0.721705 0.127256i
\(534\) 10502.7 3169.87i 0.851119 0.256880i
\(535\) −7535.38 + 20703.3i −0.608940 + 1.67305i
\(536\) 9128.28 + 6022.19i 0.735600 + 0.485296i
\(537\) −3861.05 19382.7i −0.310273 1.55759i
\(538\) −11273.3 5130.75i −0.903399 0.411157i
\(539\) −10101.8 −0.807264
\(540\) −9851.71 6935.46i −0.785093 0.552694i
\(541\) −2064.42 −0.164060 −0.0820300 0.996630i \(-0.526140\pi\)
−0.0820300 + 0.996630i \(0.526140\pi\)
\(542\) 10692.6 + 4866.45i 0.847395 + 0.385668i
\(543\) −6412.62 + 5626.86i −0.506799 + 0.444699i
\(544\) 20392.8 + 839.241i 1.60723 + 0.0661437i
\(545\) 1081.43 2971.21i 0.0849971 0.233528i
\(546\) −896.319 + 3819.84i −0.0702544 + 0.299403i
\(547\) 18337.4 + 3233.38i 1.43337 + 0.252741i 0.835781 0.549063i \(-0.185015\pi\)
0.597586 + 0.801804i \(0.296126\pi\)
\(548\) −9445.46 + 174.330i −0.736295 + 0.0135894i
\(549\) 7404.81 6792.82i 0.575646 0.528070i
\(550\) −640.524 + 652.455i −0.0496583 + 0.0505832i
\(551\) −18929.9 + 6889.94i −1.46360 + 0.532706i
\(552\) −2663.41 19313.2i −0.205366 1.48917i
\(553\) −5100.52 + 4279.85i −0.392218 + 0.329110i
\(554\) 16103.1 + 11055.5i 1.23494 + 0.847840i
\(555\) 10808.4 + 1660.51i 0.826653 + 0.127000i
\(556\) 10513.7 + 8496.41i 0.801942 + 0.648072i
\(557\) −1257.42 + 725.971i −0.0956526 + 0.0552251i −0.547063 0.837091i \(-0.684254\pi\)
0.451411 + 0.892316i \(0.350921\pi\)
\(558\) −4072.45 + 3188.67i −0.308962 + 0.241913i
\(559\) −10797.5 6233.95i −0.816971 0.471678i
\(560\) 3329.00 + 2590.19i 0.251207 + 0.195456i
\(561\) −16569.7 + 10061.0i −1.24701 + 0.757178i
\(562\) −2834.78 221.675i −0.212773 0.0166384i
\(563\) 280.637 + 1591.57i 0.0210079 + 0.119141i 0.993508 0.113759i \(-0.0362893\pi\)
−0.972500 + 0.232901i \(0.925178\pi\)
\(564\) −2345.51 + 512.401i −0.175113 + 0.0382553i
\(565\) 6590.79 + 5530.33i 0.490755 + 0.411792i
\(566\) −23318.1 + 6479.26i −1.73169 + 0.481173i
\(567\) 395.033 + 4458.31i 0.0292589 + 0.330214i
\(568\) 596.994 + 564.824i 0.0441009 + 0.0417245i
\(569\) 9035.49 10768.1i 0.665707 0.793359i −0.322486 0.946574i \(-0.604518\pi\)
0.988193 + 0.153216i \(0.0489629\pi\)
\(570\) −893.717 + 15958.1i −0.0656732 + 1.17265i
\(571\) 1765.80 311.358i 0.129416 0.0228195i −0.108565 0.994089i \(-0.534626\pi\)
0.237981 + 0.971270i \(0.423514\pi\)
\(572\) −11296.2 + 2207.50i −0.825731 + 0.161364i
\(573\) 4562.02 + 7513.28i 0.332602 + 0.547769i
\(574\) 3584.63 346.971i 0.260661 0.0252305i
\(575\) 809.998 1402.96i 0.0587465 0.101752i
\(576\) 13785.2 + 1035.58i 0.997190 + 0.0749120i
\(577\) 2892.95 + 5010.74i 0.208726 + 0.361525i 0.951314 0.308225i \(-0.0997349\pi\)
−0.742587 + 0.669749i \(0.766402\pi\)
\(578\) 12819.9 + 17953.8i 0.922558 + 1.29201i
\(579\) −248.811 + 1619.54i −0.0178588 + 0.116245i
\(580\) 5543.22 16151.2i 0.396844 1.15628i
\(581\) 3849.08 + 4587.16i 0.274848 + 0.327552i
\(582\) 5190.96 12108.2i 0.369712 0.862376i
\(583\) −1439.74 3955.64i −0.102277 0.281005i
\(584\) −3098.29 + 12991.2i −0.219534 + 0.920513i
\(585\) 3783.04 12021.5i 0.267366 0.849620i
\(586\) 3359.66 13017.7i 0.236836 0.917673i
\(587\) 2306.48 13080.7i 0.162178 0.919759i −0.789748 0.613431i \(-0.789789\pi\)
0.951926 0.306327i \(-0.0991002\pi\)
\(588\) 514.468 + 12680.9i 0.0360821 + 0.889371i
\(589\) 6447.79 + 2346.80i 0.451064 + 0.164174i
\(590\) −2652.58 5554.09i −0.185093 0.387557i
\(591\) −4586.63 5227.13i −0.319237 0.363816i
\(592\) −11624.0 + 4723.51i −0.807001 + 0.327931i
\(593\) 9783.67i 0.677516i −0.940873 0.338758i \(-0.889993\pi\)
0.940873 0.338758i \(-0.110007\pi\)
\(594\) −11447.1 + 6430.71i −0.790705 + 0.444201i
\(595\) 7430.95i 0.511999i
\(596\) −1670.51 + 10615.9i −0.114810 + 0.729608i
\(597\) 27377.0 5453.50i 1.87682 0.373864i
\(598\) 18402.4 8788.79i 1.25841 0.601004i
\(599\) 5175.15 + 1883.60i 0.353007 + 0.128484i 0.512436 0.858725i \(-0.328743\pi\)
−0.159429 + 0.987209i \(0.550965\pi\)
\(600\) 851.653 + 770.827i 0.0579476 + 0.0524481i
\(601\) −3794.30 + 21518.6i −0.257526 + 1.46050i 0.531980 + 0.846757i \(0.321448\pi\)
−0.789506 + 0.613743i \(0.789663\pi\)
\(602\) 4821.27 + 1244.29i 0.326412 + 0.0842417i
\(603\) 576.420 + 13036.4i 0.0389281 + 0.880401i
\(604\) 6090.94 11014.3i 0.410326 0.741998i
\(605\) 867.242 + 2382.73i 0.0582784 + 0.160119i
\(606\) 22605.3 16907.5i 1.51531 1.13337i
\(607\) −11116.2 13247.7i −0.743314 0.885847i 0.253357 0.967373i \(-0.418465\pi\)
−0.996671 + 0.0815257i \(0.974021\pi\)
\(608\) −8508.71 16245.7i −0.567556 1.08363i
\(609\) −5911.63 + 2300.80i −0.393352 + 0.153092i
\(610\) 9196.00 6566.39i 0.610386 0.435845i
\(611\) −1255.67 2174.89i −0.0831408 0.144004i
\(612\) 13473.6 + 20287.7i 0.889928 + 1.34000i
\(613\) 6123.41 10606.1i 0.403462 0.698817i −0.590679 0.806907i \(-0.701140\pi\)
0.994141 + 0.108090i \(0.0344733\pi\)
\(614\) −1874.36 19364.4i −0.123197 1.27277i
\(615\) −11564.9 + 255.554i −0.758279 + 0.0167560i
\(616\) 4110.61 2057.19i 0.268865 0.134556i
\(617\) −9669.50 + 1704.99i −0.630923 + 0.111249i −0.479960 0.877291i \(-0.659349\pi\)
−0.150963 + 0.988539i \(0.548238\pi\)
\(618\) 4104.29 + 8127.04i 0.267150 + 0.528992i
\(619\) −13654.8 + 16273.1i −0.886644 + 1.05666i 0.111377 + 0.993778i \(0.464474\pi\)
−0.998021 + 0.0628826i \(0.979971\pi\)
\(620\) −4982.54 + 3000.60i −0.322748 + 0.194366i
\(621\) 16791.3 16100.9i 1.08504 1.04043i
\(622\) −2564.11 9227.93i −0.165292 0.594866i
\(623\) −3510.76 2945.88i −0.225771 0.189445i
\(624\) 3346.38 + 14067.8i 0.214684 + 0.902503i
\(625\) −2484.61 14091.0i −0.159015 0.901821i
\(626\) −1391.35 + 17792.6i −0.0888328 + 1.13600i
\(627\) 15273.1 + 8373.63i 0.972808 + 0.533350i
\(628\) −1273.43 3307.50i −0.0809163 0.210165i
\(629\) −19143.2 11052.3i −1.21349 0.700612i
\(630\) −170.346 + 5030.19i −0.0107726 + 0.318107i
\(631\) −11287.8 + 6517.01i −0.712139 + 0.411154i −0.811852 0.583863i \(-0.801541\pi\)
0.0997136 + 0.995016i \(0.468207\pi\)
\(632\) −9751.05 + 22518.3i −0.613728 + 1.41729i
\(633\) 12169.9 15172.0i 0.764156 0.952659i
\(634\) −9352.52 + 13622.6i −0.585861 + 0.853348i
\(635\) 4770.77 4003.15i 0.298145 0.250174i
\(636\) −4892.22 + 2008.77i −0.305015 + 0.125240i
\(637\) −12474.9 + 4540.48i −0.775938 + 0.282418i
\(638\) −13279.4 13036.5i −0.824036 0.808967i
\(639\) −127.463 + 972.341i −0.00789100 + 0.0601959i
\(640\) 15244.0 + 3045.83i 0.941516 + 0.188121i
\(641\) −958.510 169.011i −0.0590622 0.0104143i 0.144039 0.989572i \(-0.453991\pi\)
−0.203101 + 0.979158i \(0.565102\pi\)
\(642\) 20651.2 21987.1i 1.26953 1.35165i
\(643\) 2691.69 7395.36i 0.165085 0.453568i −0.829374 0.558694i \(-0.811302\pi\)
0.994459 + 0.105126i \(0.0335247\pi\)
\(644\) −6141.31 + 5349.36i −0.375779 + 0.327320i
\(645\) −15146.1 5136.73i −0.924617 0.313579i
\(646\) 13383.4 29406.2i 0.815112 1.79098i
\(647\) 2428.82 0.147584 0.0737920 0.997274i \(-0.476490\pi\)
0.0737920 + 0.997274i \(0.476490\pi\)
\(648\) 8655.50 + 14042.1i 0.524722 + 0.851273i
\(649\) −6707.57 −0.405694
\(650\) −497.733 + 1093.63i −0.0300349 + 0.0659931i
\(651\) 2046.23 + 693.970i 0.123192 + 0.0417801i
\(652\) −9013.37 + 7851.06i −0.541397 + 0.471582i
\(653\) −4997.18 + 13729.6i −0.299471 + 0.822791i 0.695117 + 0.718897i \(0.255353\pi\)
−0.994588 + 0.103894i \(0.966870\pi\)
\(654\) −2963.73 + 3155.45i −0.177203 + 0.188666i
\(655\) 16627.0 + 2931.78i 0.991861 + 0.174892i
\(656\) 11241.9 7056.04i 0.669088 0.419957i
\(657\) −14719.9 + 6106.76i −0.874094 + 0.362629i
\(658\) 715.701 + 702.613i 0.0424026 + 0.0416272i
\(659\) −7541.68 + 2744.95i −0.445800 + 0.162258i −0.555159 0.831744i \(-0.687342\pi\)
0.109359 + 0.994002i \(0.465120\pi\)
\(660\) −13658.0 + 5608.03i −0.805511 + 0.330746i
\(661\) −3866.01 + 3243.97i −0.227489 + 0.190886i −0.749407 0.662110i \(-0.769661\pi\)
0.521918 + 0.852996i \(0.325217\pi\)
\(662\) 1966.39 2864.18i 0.115447 0.168156i
\(663\) −15940.0 + 19872.1i −0.933725 + 1.16406i
\(664\) 20251.9 + 8769.62i 1.18362 + 0.512541i
\(665\) 5782.38 3338.46i 0.337189 0.194676i
\(666\) −12705.1 7920.41i −0.739209 0.460825i
\(667\) 28554.3 + 16485.8i 1.65761 + 0.957021i
\(668\) −10346.7 26873.7i −0.599292 1.55655i
\(669\) −3262.05 1788.45i −0.188518 0.103356i
\(670\) −1143.98 + 14629.2i −0.0659637 + 0.843546i
\(671\) −2138.33 12127.1i −0.123024 0.697706i
\(672\) −2791.75 5055.31i −0.160259 0.290198i
\(673\) 20297.5 + 17031.6i 1.16257 + 0.975514i 0.999938 0.0111724i \(-0.00355636\pi\)
0.162635 + 0.986686i \(0.448001\pi\)
\(674\) −3051.08 10980.5i −0.174367 0.627527i
\(675\) −148.087 + 1362.64i −0.00844426 + 0.0777009i
\(676\) 2098.86 1263.98i 0.119416 0.0719152i
\(677\) −19455.9 + 23186.6i −1.10451 + 1.31630i −0.160254 + 0.987076i \(0.551231\pi\)
−0.944252 + 0.329223i \(0.893213\pi\)
\(678\) −5310.11 10514.7i −0.300787 0.595598i
\(679\) −5419.82 + 955.661i −0.306324 + 0.0540131i
\(680\) 12256.6 + 24490.8i 0.691206 + 1.38115i
\(681\) 28782.1 636.010i 1.61958 0.0357885i
\(682\) 610.671 + 6308.96i 0.0342871 + 0.354227i
\(683\) −2211.69 + 3830.77i −0.123906 + 0.214612i −0.921305 0.388841i \(-0.872876\pi\)
0.797399 + 0.603453i \(0.206209\pi\)
\(684\) 9733.64 19598.9i 0.544116 1.09559i
\(685\) −6338.11 10977.9i −0.353528 0.612329i
\(686\) 9162.13 6542.20i 0.509930 0.364114i
\(687\) 26777.5 10421.7i 1.48708 0.578769i
\(688\) 17942.2 3851.30i 0.994245 0.213415i
\(689\) −3555.90 4237.76i −0.196617 0.234319i
\(690\) 20948.6 15668.5i 1.15580 0.864477i
\(691\) −2368.10 6506.29i −0.130371 0.358192i 0.857282 0.514847i \(-0.172151\pi\)
−0.987653 + 0.156655i \(0.949929\pi\)
\(692\) 7474.02 13515.4i 0.410577 0.742453i
\(693\) 4866.58 + 2529.95i 0.266762 + 0.138680i
\(694\) −16140.7 4165.65i −0.882843 0.227847i
\(695\) −3149.67 + 17862.6i −0.171904 + 0.974919i
\(696\) −15688.6 + 17333.6i −0.854416 + 0.944007i
\(697\) 21973.0 + 7997.51i 1.19410 + 0.434616i
\(698\) −15497.4 + 7401.42i −0.840381 + 0.401358i
\(699\) 24860.5 4952.22i 1.34522 0.267968i
\(700\) 74.5925 474.029i 0.00402762 0.0255952i
\(701\) 8648.00i 0.465949i 0.972483 + 0.232975i \(0.0748459\pi\)
−0.972483 + 0.232975i \(0.925154\pi\)
\(702\) −11245.7 + 13086.5i −0.604619 + 0.703588i
\(703\) 19861.6i 1.06557i
\(704\) 10154.6 13560.1i 0.543629 0.725945i
\(705\) −2124.74 2421.45i −0.113507 0.129357i
\(706\) −2702.55 5658.73i −0.144068 0.301656i
\(707\) −11081.3 4033.27i −0.589471 0.214550i
\(708\) 341.605 + 8420.06i 0.0181332 + 0.446957i
\(709\) 5230.71 29664.8i 0.277071 1.57135i −0.455234 0.890372i \(-0.650444\pi\)
0.732305 0.680976i \(-0.238444\pi\)
\(710\) −275.576 + 1067.78i −0.0145664 + 0.0564408i
\(711\) −28583.2 + 6353.38i −1.50767 + 0.335120i
\(712\) −16429.7 3918.33i −0.864786 0.206244i
\(713\) −3841.08 10553.3i −0.201753 0.554311i
\(714\) 4008.82 9350.82i 0.210121 0.490120i
\(715\) −9927.30 11830.9i −0.519245 0.618812i
\(716\) −9877.58 + 28780.1i −0.515562 + 1.50218i
\(717\) −3203.06 + 20849.1i −0.166835 + 1.08595i
\(718\) 9304.00 + 13029.9i 0.483597 + 0.677260i
\(719\) −9186.14 15910.9i −0.476474 0.825278i 0.523162 0.852233i \(-0.324752\pi\)
−0.999637 + 0.0269553i \(0.991419\pi\)
\(720\) 7735.38 + 16859.4i 0.400390 + 0.872657i
\(721\) 1901.72 3293.87i 0.0982296 0.170139i
\(722\) −9585.09 + 927.782i −0.494072 + 0.0478234i
\(723\) −11354.1 18699.3i −0.584043 0.961871i
\(724\) 12891.0 2519.15i 0.661725 0.129314i
\(725\) −1913.15 + 337.340i −0.0980036 + 0.0172807i
\(726\) 194.120 3466.19i 0.00992353 0.177193i
\(727\) 14232.0 16961.0i 0.726044 0.865266i −0.269159 0.963096i \(-0.586746\pi\)
0.995203 + 0.0978300i \(0.0311902\pi\)
\(728\) 4151.60 4388.06i 0.211358 0.223396i
\(729\) −7502.11 + 18197.2i −0.381147 + 0.924515i
\(730\) −17266.5 + 4797.74i −0.875429 + 0.243250i
\(731\) 24765.8 + 20780.9i 1.25307 + 1.05145i
\(732\) −15114.3 + 3301.87i −0.763171 + 0.166722i
\(733\) −2148.18 12182.9i −0.108247 0.613898i −0.989874 0.141951i \(-0.954662\pi\)
0.881627 0.471947i \(-0.156449\pi\)
\(734\) 28239.5 + 2208.27i 1.42008 + 0.111048i
\(735\) −14556.2 + 8838.43i −0.730494 + 0.443551i
\(736\) −11417.2 + 27759.9i −0.571798 + 1.39027i
\(737\) 13848.8 + 7995.60i 0.692167 + 0.399623i
\(738\) 14690.7 + 5917.41i 0.732753 + 0.295153i
\(739\) −15136.0 + 8738.77i −0.753432 + 0.434994i −0.826933 0.562301i \(-0.809916\pi\)
0.0735005 + 0.997295i \(0.476583\pi\)
\(740\) −13094.6 10582.1i −0.650494 0.525682i
\(741\) 22624.8 + 3475.86i 1.12165 + 0.172320i
\(742\) 1821.36 + 1250.44i 0.0901135 + 0.0618669i
\(743\) 13556.6 11375.3i 0.669371 0.561669i −0.243508 0.969899i \(-0.578298\pi\)
0.912879 + 0.408230i \(0.133854\pi\)
\(744\) 7888.59 1087.89i 0.388723 0.0536073i
\(745\) −13550.3 + 4931.91i −0.666369 + 0.242539i
\(746\) 21854.9 22262.0i 1.07261 1.09259i
\(747\) 5713.92 + 25706.4i 0.279868 + 1.25910i
\(748\) 29840.1 550.743i 1.45864 0.0269214i
\(749\) −12409.7 2188.17i −0.605397 0.106748i
\(750\) −4857.15 + 20699.7i −0.236477 + 1.00779i
\(751\) 7041.01 19345.0i 0.342117 0.939960i −0.642662 0.766150i \(-0.722170\pi\)
0.984779 0.173810i \(-0.0556078\pi\)
\(752\) 3517.69 + 1135.19i 0.170581 + 0.0550478i
\(753\) −19221.6 + 16866.3i −0.930243 + 0.816258i
\(754\) −22258.4 10130.3i −1.07507 0.489289i