Properties

Label 108.4.l.a.59.19
Level 108
Weight 4
Character 108.59
Analytic conductor 6.372
Analytic rank 0
Dimension 312
CM no
Inner twists 4

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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 59.19
Character \(\chi\) \(=\) 108.59
Dual form 108.4.l.a.11.19

$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(55\)
\(\chi(n)\) \(e\left(\frac{5}{18}\right)\) \(-1\)

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 0.988522 + 0.151080i \(0.0482751\pi\)
−0.660139 + 0.751143i \(0.729503\pi\)
\(6\) −10.0618 10.7127i −0.684616 0.728904i
\(7\) 6.04634 1.06613i 0.326472 0.0575658i −0.00801032 0.999968i \(-0.502550\pi\)
0.334482 + 0.942402i \(0.391439\pi\)
\(8\) 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 0.730953 0.682428i \(-0.239076\pi\)
0.121286 + 0.992618i \(0.461298\pi\)
\(12\) −15.7893 + 38.4538i −0.379831 + 0.925056i
\(13\) 33.3096 + 27.9501i 0.710649 + 0.596305i 0.924781 0.380500i \(-0.124248\pi\)
−0.214132 + 0.976805i \(0.568692\pi\)
\(14\) −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 −0.399428 0.916764i \(-0.630791\pi\)
−0.993655 + 0.112467i \(0.964125\pi\)
\(18\) −67.3907 35.9235i −0.882452 0.470403i
\(19\) 87.7369 50.6549i 1.05938 0.611633i 0.134119 0.990965i \(-0.457179\pi\)
0.925261 + 0.379332i \(0.123846\pi\)
\(20\) −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 0.519040 + 0.854750i \(0.326290\pi\)
−0.780080 + 0.625680i \(0.784821\pi\)
\(24\) 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 0.181536 0.983384i \(-0.441893\pi\)
−0.999968 + 0.00801543i \(0.997449\pi\)
\(30\) 71.1192 140.825i 0.432818 0.857036i
\(31\) 66.6999 + 11.7610i 0.386440 + 0.0681398i 0.363493 0.931597i \(-0.381584\pi\)
0.0229470 + 0.999737i \(0.492695\pi\)
\(32\) −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 −0.561797 0.827275i \(-0.689890\pi\)
0.997340 + 0.0728930i \(0.0232232\pi\)
\(38\) −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 −0.957646 0.287948i \(-0.907027\pi\)
0.449867 + 0.893095i \(0.351471\pi\)
\(42\) −72.2579 54.0451i −0.265468 0.198556i
\(43\) −98.0684 + 269.441i −0.347798 + 0.955566i 0.635265 + 0.772294i \(0.280891\pi\)
−0.983062 + 0.183272i \(0.941331\pi\)
\(44\) −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 0.996407 0.0846893i \(-0.0269898\pi\)
−0.965282 + 0.261210i \(0.915879\pi\)
\(48\) −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 \(0.0527181\pi\)
−0.986317 + 0.164863i \(0.947282\pi\)
\(54\) −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 −0.543529 0.839390i \(-0.682912\pi\)
0.123182 + 0.992384i \(0.460690\pi\)
\(60\) −445.859 18.0887i −0.959337 0.0389207i
\(61\) 64.6265 + 366.515i 0.135649 + 0.769302i 0.974406 + 0.224796i \(0.0721716\pi\)
−0.838757 + 0.544506i \(0.816717\pi\)
\(62\) −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 −0.404438 0.914566i \(-0.632533\pi\)
0.970901 + 0.239481i \(0.0769772\pi\)
\(68\) 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 −0.850449 0.526058i \(-0.823669\pi\)
0.880804 + 0.473481i \(0.157003\pi\)
\(72\) 570.811 217.768i 0.934315 0.356448i
\(73\) −295.119 511.161i −0.473165 0.819545i 0.526363 0.850260i \(-0.323555\pi\)
−0.999528 + 0.0307142i \(0.990222\pi\)
\(74\) −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 −0.983080 0.183179i \(-0.941361\pi\)
−0.00968573 0.999953i \(1.49692\pi\)
\(80\) 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 0.00277909 0.999996i \(-0.499115\pi\)
0.985287 + 0.170911i \(0.0546709\pi\)
\(84\) −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 −0.832850 0.553499i \(-0.813292\pi\)
0.0629191 + 0.998019i \(0.479959\pi\)
\(90\) 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 −0.138804 0.990320i \(-0.544326\pi\)
−0.742896 + 0.669407i \(0.766548\pi\)
\(98\) 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 −0.987983 0.154560i \(-0.950604\pi\)
−0.875538 + 0.483149i \(0.839493\pi\)
\(102\) 378.552 + 1613.27i 0.367473 + 1.56606i
\(103\) 211.878 + 582.130i 0.202689 + 0.556884i 0.998837 0.0482187i \(-0.0153544\pi\)
−0.796148 + 0.605102i \(0.793132\pi\)
\(104\) 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 0.771750 0.635925i \(-0.219381\pi\)
−0.999960 + 0.00892451i \(0.997159\pi\)
\(114\) −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 −0.314094 0.949392i \(-0.601701\pi\)
0.665150 + 0.746709i \(0.268367\pi\)
\(128\) 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 −0.747401 0.664373i \(-0.768699\pi\)
0.929556 0.368680i \(-0.120190\pi\)
\(132\) −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 0.948905 0.315561i \(-0.102193\pi\)
−0.475543 + 0.879692i \(0.657748\pi\)
\(138\) 2039.07 1334.60i 1.25780 0.823254i
\(139\) −1664.04 293.414i −1.01541 0.179044i −0.358910 0.933372i \(-0.616852\pi\)
−0.656497 + 0.754328i \(0.727963\pi\)
\(140\) −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 −0.949272 0.314456i \(-0.898178\pi\)
0.474518 + 0.880246i \(0.342622\pi\)
\(150\) −142.578 16.9876i −0.0776094 0.00924689i
\(151\) 538.096 1478.41i 0.289998 0.796762i −0.706068 0.708144i \(-0.749533\pi\)
0.996066 0.0886181i \(-0.0282451\pi\)
\(152\) 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 −0.234034 0.972228i \(-0.575193\pi\)
0.445656 + 0.895204i \(0.352970\pi\)
\(158\) −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 \(0.116879\pi\)
−0.933341 + 0.358992i \(0.883121\pi\)
\(164\) −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 0.594939 0.803771i \(-0.297176\pi\)
0.972404 + 0.233305i \(0.0749540\pi\)
\(168\) 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 −0.705865 0.708347i \(-0.749441\pi\)
0.996040 0.0889040i \(-0.0283364\pi\)
\(174\) −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 0.129313 + 0.991604i \(0.458723\pi\)
−0.923411 + 0.383813i \(0.874611\pi\)
\(180\) −2224.20 + 655.076i −0.921011 + 0.271258i
\(181\) −820.925 1421.88i −0.337121 0.583911i 0.646769 0.762686i \(-0.276120\pi\)
−0.983890 + 0.178775i \(0.942786\pi\)
\(182\) 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 −0.363441 0.931617i \(-0.618398\pi\)
0.854353 + 0.519693i \(0.173954\pi\)
\(192\) 2576.41 + 663.329i 0.968418 + 0.249331i
\(193\) 54.7577 310.546i 0.0204225 0.115822i −0.972892 0.231259i \(-0.925716\pi\)
0.993315 + 0.115437i \(0.0368268\pi\)
\(194\) 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 −0.694723 0.719277i \(-0.744473\pi\)
0.275551 + 0.961287i \(0.411140\pi\)
\(198\) −1688.79 1879.57i −0.606146 0.674623i
\(199\) 4652.47 + 2686.11i 1.65731 + 0.956850i 0.973948 + 0.226773i \(0.0728174\pi\)
0.683365 + 0.730077i \(0.260516\pi\)
\(200\) 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 0.953004 + 0.302958i \(0.0979741\pi\)
−0.535306 + 0.844658i \(0.679804\pi\)
\(212\) −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 −0.278505 0.960435i \(-0.589839\pi\)
0.0667792 + 0.997768i \(0.478728\pi\)
\(224\) −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 0.961716 0.274048i \(-0.0883626\pi\)
0.560563 + 0.828112i \(0.310585\pi\)
\(228\) 562.573 + 4173.63i 0.163409 + 1.21230i
\(229\) 4236.13 + 3554.53i 1.22241 + 1.02572i 0.998695 + 0.0510659i \(0.0162619\pi\)
0.223712 + 0.974655i \(0.428183\pi\)
\(230\) 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 0.957825 0.287352i \(-0.0927749\pi\)
0.230059 + 0.973177i \(0.426108\pi\)
\(234\) −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 −0.727510 0.686097i \(-0.759322\pi\)
0.918295 0.395898i \(-0.129566\pi\)
\(240\) 2451.89 2594.56i 0.659454 0.697826i
\(241\) −3225.14 + 2706.21i −0.862031 + 0.723330i −0.962405 0.271620i \(-0.912441\pi\)
0.100374 + 0.994950i \(0.467996\pi\)
\(242\) −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 −0.989706 0.143116i \(-0.954288\pi\)
0.370911 0.928668i \(1.62095\pi\)
\(252\) 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 −0.819529 0.573037i \(-0.805765\pi\)
0.706641 + 0.707572i \(0.250209\pi\)
\(258\) 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 0.983540 + 0.180691i \(0.0578334\pi\)
−0.862425 + 0.506184i \(0.831056\pi\)
\(264\) 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 \(-0.834699\pi\)
0.868162 0.496281i \(-0.165301\pi\)
\(270\) −788.952 4185.95i −0.177830 0.943514i
\(271\) 4153.54i 0.931031i 0.885040 + 0.465515i \(0.154131\pi\)
−0.885040 + 0.465515i \(0.845869\pi\)
\(272\) −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 0.782582 + 0.622548i \(0.213902\pi\)
−0.522462 + 0.852662i \(0.674986\pi\)
\(278\) 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 −0.897830 0.440343i \(-0.854857\pi\)
0.970824 + 0.239792i \(0.0770791\pi\)
\(282\) 508.400 679.727i 0.107357 0.143536i
\(283\) 5500.05 6554.70i 1.15528 1.37681i 0.241597 0.970377i \(-0.422329\pi\)
0.913682 0.406431i \(-0.133227\pi\)
\(284\) 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 −0.313759 0.949503i \(-0.601588\pi\)
−0.619586 + 0.784929i \(0.712699\pi\)
\(294\) 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 −0.169250 0.985573i \(-0.554135\pi\)
−0.938156 + 0.346212i \(0.887468\pi\)
\(308\) −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 0.374914 0.927060i \(-0.377672\pi\)
−0.847872 + 0.530201i \(0.822117\pi\)
\(312\) 4036.82 + 3137.14i 0.732500 + 0.569249i
\(313\) 5929.30 + 2158.09i 1.07075 + 0.389720i 0.816456 0.577408i \(-0.195936\pi\)
0.254291 + 0.967128i \(0.418158\pi\)
\(314\) −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 0.361106 0.932525i \(-0.382399\pi\)
0.658271 + 0.752781i \(0.271288\pi\)
\(318\) 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 −0.273179 0.961963i \(-0.588075\pi\)
0.0723062 + 0.997382i \(0.476964\pi\)
\(332\) −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 0.358286 0.933612i \(-0.383361\pi\)
−0.857212 + 0.514963i \(0.827806\pi\)
\(338\) −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 −0.797353 0.603513i \(-0.793767\pi\)
0.955680 0.294406i \(-0.0951218\pi\)
\(348\) 7875.51 2509.88i 1.21314 0.386619i
\(349\) 4651.40 3902.99i 0.713421 0.598631i −0.212136 0.977240i \(-0.568042\pi\)
0.925557 + 0.378609i \(0.123597\pi\)
\(350\) −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 0.647828 0.761787i \(-0.275677\pi\)
−0.862707 + 0.505703i \(0.831233\pi\)
\(354\) 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 0.995543 0.0943096i \(-0.0300644\pi\)
−0.579446 + 0.815011i \(0.696731\pi\)
\(360\) 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 0.416046 + 0.909344i \(0.363416\pi\)
−0.903224 + 0.429169i \(0.858807\pi\)
\(368\) 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 −0.939426 0.342751i \(-0.888641\pi\)
−0.499326 + 0.866414i \(0.666419\pi\)
\(374\) −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 \(0.0641528\pi\)
−0.979759 + 0.200180i \(0.935847\pi\)
\(380\) −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 −0.798708 0.601719i \(-0.794483\pi\)
−0.225069 + 0.974343i \(0.572261\pi\)
\(384\) −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 −0.957461 0.288562i \(-0.906823\pi\)
0.918942 + 0.394393i \(0.129045\pi\)
\(390\) 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 0.962574 0.271017i \(-0.0873601\pi\)
−0.715995 + 0.698105i \(0.754027\pi\)
\(398\) 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 0.567527 0.823355i \(-0.307900\pi\)
0.251697 + 0.967806i \(0.419011\pi\)
\(402\) −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 −0.694433 0.719558i \(-0.744345\pi\)
0.898656 0.438653i \(-0.144544\pi\)
\(410\) 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 0.353225 0.935538i \(-0.385085\pi\)
−0.859989 + 0.510313i \(0.829529\pi\)
\(420\) −2715.10 + 365.975i −0.315437 + 0.0425184i
\(421\) −13952.2 5078.20i −1.61518 0.587877i −0.632725 0.774377i \(-0.718064\pi\)
−0.982455 + 0.186499i \(0.940286\pi\)
\(422\) 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 −0.635564 0.772048i \(-0.719232\pi\)
−0.333179 + 0.942864i \(0.608121\pi\)
\(440\) −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 0.784923 0.619593i \(-0.212703\pi\)
0.203019 + 0.979175i \(0.434925\pi\)
\(444\) 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 0.769596 0.638531i \(-0.220458\pi\)
−0.168187 + 0.985755i \(0.553791\pi\)
\(450\) −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 0.463192 0.886258i \(-0.346704\pi\)
0.953226 0.302258i \(-0.0977403\pi\)
\(458\) 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 0.969544 0.244919i \(-0.0787612\pi\)
−0.409557 + 0.912284i \(0.634317\pi\)
\(462\) −1635.05 2498.09i −0.164652 0.251562i
\(463\) 4322.52 + 762.177i 0.433876 + 0.0765041i 0.386321 0.922365i \(-0.373746\pi\)
0.0475555 + 0.998869i \(0.484857\pi\)
\(464\) −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 0.980724 + 0.195400i \(0.0626007\pi\)
−0.321140 + 0.947032i \(0.604066\pi\)
\(468\) −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 0.990663 + 0.136334i \(0.0435321\pi\)
−0.884289 + 0.466939i \(0.845357\pi\)
\(480\) −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 \(0.0736689\pi\)
−0.973338 + 0.229377i \(0.926331\pi\)
\(488\) −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 0.193042 0.981190i \(-0.438165\pi\)
0.778576 + 0.627550i \(0.215942\pi\)
\(492\) −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 −0.00791186 + 0.999969i \(0.502518\pi\)
−0.983403 + 0.181434i \(0.941926\pi\)
\(500\) −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 −0.541519 0.840689i \(-0.682150\pi\)
0.998817 + 0.0486247i \(0.0154838\pi\)
\(504\) 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 −0.640252 0.768165i \(-0.721170\pi\)
−0.864368 + 0.502859i \(0.832281\pi\)
\(510\) −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 −0.848815 0.528690i \(-0.822684\pi\)
0.0334509 + 0.999440i \(0.489350\pi\)
\(522\) 3141.51 + 14856.7i 0.263410 + 1.24571i
\(523\) −372.330 214.965i −0.0311298 0.0179728i 0.484354 0.874872i \(-0.339055\pi\)
−0.515484 + 0.856899i \(0.672388\pi\)
\(524\) 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 0.597586 0.801804i \(-0.296126\pi\)
0.835781 + 0.549063i \(0.185015\pi\)
\(548\) −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 0.451411 0.892316i \(-0.350921\pi\)
−0.547063 + 0.837091i \(0.684254\pi\)
\(558\) −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 −0.972500 0.232901i \(-0.925178\pi\)
0.993508 + 0.113759i \(0.0362893\pi\)
\(564\) −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 0.988193 0.153216i \(-0.0489629\pi\)
−0.322486 + 0.946574i \(0.604518\pi\)
\(570\) −893.717 15958.1i −0.0656732 1.17265i
\(571\) 1765.80 + 311.358i 0.129416 + 0.0228195i 0.237981 0.971270i \(-0.423514\pi\)
−0.108565 + 0.994089i \(0.534626\pi\)
\(572\) −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 −0.742587 0.669749i \(-0.766402\pi\)
0.951314 + 0.308225i \(0.0997349\pi\)
\(578\) 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 0.951926 + 0.306327i \(0.0991002\pi\)
−0.789748 + 0.613431i \(0.789789\pi\)
\(588\) 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 \(0.110007\pi\)
−0.940873 + 0.338758i \(0.889993\pi\)
\(594\) −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 −0.159429 0.987209i \(-0.550965\pi\)
0.512436 + 0.858725i \(0.328743\pi\)
\(600\) 851.653 770.827i 0.0579476 0.0524481i
\(601\) −3794.30 21518.6i −0.257526 1.46050i −0.789506 0.613743i \(-0.789663\pi\)
0.531980 0.846757i \(-0.321448\pi\)
\(602\) 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 −0.996671 0.0815257i \(-0.974021\pi\)
0.253357 + 0.967373i \(0.418465\pi\)
\(608\) −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 0.994141 0.108090i \(-0.0344733\pi\)
−0.590679 + 0.806907i \(0.701140\pi\)
\(614\) −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 −0.150963 0.988539i \(-0.548238\pi\)
−0.479960 + 0.877291i \(0.659349\pi\)
\(618\) 4104.29 8127.04i 0.267150 0.528992i
\(619\) −13654.8 16273.1i −0.886644 1.05666i −0.998021 0.0628826i \(-0.979971\pi\)
0.111377 0.993778i \(1.53553\pi\)
\(620\) −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 0.0997136 0.995016i \(-0.468207\pi\)
−0.811852 + 0.583863i \(0.801541\pi\)
\(632\) −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 −0.203101 0.979158i \(-0.565102\pi\)
0.144039 + 0.989572i \(0.453991\pi\)
\(642\) 20651.2 + 21987.1i 1.26953 + 1.35165i
\(643\) 2691.69 + 7395.36i 0.165085 + 0.453568i 0.994459 0.105126i \(-0.0335247\pi\)
−0.829374 + 0.558694i \(0.811302\pi\)
\(644\) −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 −0.994588 0.103894i \(-0.966870\pi\)
0.695117 0.718897i \(-0.255353\pi\)
\(654\) −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 0.109359 0.994002i \(-0.465120\pi\)
−0.555159 + 0.831744i \(0.687342\pi\)
\(660\) −13658.0 5608.03i −0.805511 0.330746i
\(661\) −3866.01 3243.97i −0.227489 0.190886i 0.521918 0.852996i \(-0.325217\pi\)
−0.749407 + 0.662110i \(0.769661\pi\)
\(662\) 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 0.162635 0.986686i \(-0.448001\pi\)
0.999938 + 0.0111724i \(0.00355636\pi\)
\(674\) −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 −0.944252 0.329223i \(-0.893213\pi\)
−0.160254 0.987076i \(-0.551231\pi\)
\(678\) −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 0.797399 0.603453i \(-0.206209\pi\)
−0.921305 + 0.388841i \(0.872876\pi\)
\(684\) 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 −0.987653 0.156655i \(-0.949929\pi\)
0.857282 + 0.514847i \(0.172151\pi\)
\(692\) 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 \(-0.925154\pi\)
0.972483 0.232975i \(-0.0748459\pi\)
\(702\) −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 0.732305 + 0.680976i \(0.238444\pi\)
−0.455234 + 0.890372i \(0.650444\pi\)
\(710\) −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 −0.999637 0.0269553i \(-0.991419\pi\)
0.523162 + 0.852233i \(0.324752\pi\)
\(720\) 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 0.995203 0.0978300i \(-0.0311902\pi\)
−0.269159 + 0.963096i \(0.586746\pi\)
\(728\) 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 0.881627 + 0.471947i \(0.156449\pi\)
−0.989874 + 0.141951i \(0.954662\pi\)
\(734\) 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 0.0735005 0.997295i \(-0.476583\pi\)
−0.826933 + 0.562301i \(0.809916\pi\)
\(740\) −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 0.912879 0.408230i \(-0.133854\pi\)
−0.243508 + 0.969899i \(0.578298\pi\)
\(744\) 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 0.984779 + 0.173810i \(0.0556078\pi\)
−0.642662 + 0.766150i \(0.722170\pi\)
\(752\) 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
\(755\) 16888.5 0.814087
\(756\)