Properties

Label 108.4.l.a.11.14
Level 108
Weight 4
Character 108.11
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 11.14
Character \(\chi\) \(=\) 108.11
Dual form 108.4.l.a.59.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.88673 + 2.10719i) q^{2} +(2.88986 - 4.31841i) q^{3} +(-0.880530 - 7.95139i) q^{4} +(3.28651 - 9.02962i) q^{5} +(3.64735 + 14.2372i) q^{6} +(-18.0956 - 3.19074i) q^{7} +(18.4164 + 13.1467i) q^{8} +(-10.2974 - 24.9592i) q^{9} +O(q^{10})\) \(q+(-1.88673 + 2.10719i) q^{2} +(2.88986 - 4.31841i) q^{3} +(-0.880530 - 7.95139i) q^{4} +(3.28651 - 9.02962i) q^{5} +(3.64735 + 14.2372i) q^{6} +(-18.0956 - 3.19074i) q^{7} +(18.4164 + 13.1467i) q^{8} +(-10.2974 - 24.9592i) q^{9} +(12.8264 + 23.9617i) q^{10} +(-49.0304 + 17.8456i) q^{11} +(-36.8820 - 19.1759i) q^{12} +(-45.2507 + 37.9699i) q^{13} +(40.8649 - 32.1109i) q^{14} +(-29.4961 - 40.2869i) q^{15} +(-62.4493 + 14.0029i) q^{16} +(48.9268 - 28.2479i) q^{17} +(72.0223 + 25.3927i) q^{18} +(11.8846 + 6.86160i) q^{19} +(-74.6919 - 18.1815i) q^{20} +(-66.0727 + 68.9235i) q^{21} +(54.9028 - 136.986i) q^{22} +(-32.1761 - 182.479i) q^{23} +(109.994 - 41.5378i) q^{24} +(25.0227 + 20.9966i) q^{25} +(5.36586 - 166.991i) q^{26} +(-137.542 - 27.6604i) q^{27} +(-9.43714 + 146.695i) q^{28} +(199.157 - 237.347i) q^{29} +(140.543 + 13.8564i) q^{30} +(-123.956 + 21.8568i) q^{31} +(88.3180 - 158.012i) q^{32} +(-64.6264 + 263.305i) q^{33} +(-32.7876 + 156.394i) q^{34} +(-88.2826 + 152.910i) q^{35} +(-189.394 + 103.856i) q^{36} +(41.7796 + 72.3645i) q^{37} +(-36.8818 + 12.0973i) q^{38} +(33.2012 + 305.139i) q^{39} +(179.235 - 123.087i) q^{40} +(29.6614 + 35.3491i) q^{41} +(-20.5739 - 269.268i) q^{42} +(-117.701 - 323.380i) q^{43} +(185.070 + 374.147i) q^{44} +(-259.215 + 10.9526i) q^{45} +(445.227 + 276.488i) q^{46} +(-40.4260 + 229.267i) q^{47} +(-120.000 + 310.148i) q^{48} +(-5.04477 - 1.83614i) q^{49} +(-91.4548 + 13.1130i) q^{50} +(19.4056 - 292.918i) q^{51} +(341.758 + 326.373i) q^{52} -110.781i q^{53} +(317.791 - 237.641i) q^{54} +501.376i q^{55} +(-291.309 - 296.659i) q^{56} +(63.9762 - 31.4937i) q^{57} +(124.380 + 867.471i) q^{58} +(510.698 + 185.879i) q^{59} +(-294.365 + 270.009i) q^{60} +(87.1157 - 494.058i) q^{61} +(187.815 - 302.437i) q^{62} +(106.699 + 484.509i) q^{63} +(166.331 + 484.229i) q^{64} +(194.136 + 533.385i) q^{65} +(-432.902 - 632.965i) q^{66} +(148.811 + 177.346i) q^{67} +(-267.691 - 364.163i) q^{68} +(-881.006 - 388.391i) q^{69} +(-155.646 - 474.528i) q^{70} +(-396.938 - 687.516i) q^{71} +(138.489 - 595.037i) q^{72} +(228.548 - 395.856i) q^{73} +(-231.313 - 48.4941i) q^{74} +(162.984 - 47.3813i) q^{75} +(44.0945 - 100.541i) q^{76} +(944.175 - 166.484i) q^{77} +(-705.629 - 505.752i) q^{78} +(331.037 - 394.515i) q^{79} +(-78.7999 + 609.914i) q^{80} +(-516.928 + 514.030i) q^{81} +(-130.450 - 4.19171i) q^{82} +(-171.861 - 144.208i) q^{83} +(606.217 + 464.681i) q^{84} +(-94.2692 - 534.627i) q^{85} +(903.492 + 362.111i) q^{86} +(-449.423 - 1545.94i) q^{87} +(-1137.58 - 315.933i) q^{88} +(425.857 + 245.869i) q^{89} +(465.988 - 566.881i) q^{90} +(939.991 - 542.704i) q^{91} +(-1422.63 + 416.523i) q^{92} +(-263.829 + 598.457i) q^{93} +(-406.838 - 517.750i) q^{94} +(101.017 - 84.7630i) q^{95} +(-427.136 - 838.028i) q^{96} +(-799.029 + 290.823i) q^{97} +(13.3872 - 7.16600i) q^{98} +(950.298 + 1040.00i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.88673 + 2.10719i −0.667058 + 0.745005i
\(3\) 2.88986 4.31841i 0.556154 0.831079i
\(4\) −0.880530 7.95139i −0.110066 0.993924i
\(5\) 3.28651 9.02962i 0.293955 0.807634i −0.701524 0.712646i \(-0.747497\pi\)
0.995478 0.0949876i \(-0.0302812\pi\)
\(6\) 3.64735 + 14.2372i 0.248171 + 0.968716i
\(7\) −18.0956 3.19074i −0.977070 0.172284i −0.337760 0.941232i \(-0.609669\pi\)
−0.639311 + 0.768949i \(0.720780\pi\)
\(8\) 18.4164 + 13.1467i 0.813900 + 0.581006i
\(9\) −10.2974 24.9592i −0.381385 0.924416i
\(10\) 12.8264 + 23.9617i 0.405607 + 0.757737i
\(11\) −49.0304 + 17.8456i −1.34393 + 0.489150i −0.911048 0.412300i \(-0.864725\pi\)
−0.432882 + 0.901451i \(0.642503\pi\)
\(12\) −36.8820 19.1759i −0.887243 0.461302i
\(13\) −45.2507 + 37.9699i −0.965407 + 0.810073i −0.981824 0.189792i \(-0.939219\pi\)
0.0164169 + 0.999865i \(0.494774\pi\)
\(14\) 40.8649 32.1109i 0.780115 0.612999i
\(15\) −29.4961 40.2869i −0.507723 0.693468i
\(16\) −62.4493 + 14.0029i −0.975771 + 0.218795i
\(17\) 48.9268 28.2479i 0.698028 0.403007i −0.108584 0.994087i \(-0.534632\pi\)
0.806613 + 0.591080i \(0.201298\pi\)
\(18\) 72.0223 + 25.3927i 0.943101 + 0.332506i
\(19\) 11.8846 + 6.86160i 0.143501 + 0.0828505i 0.570032 0.821623i \(-0.306931\pi\)
−0.426530 + 0.904473i \(0.640264\pi\)
\(20\) −74.6919 18.1815i −0.835081 0.203275i
\(21\) −66.0727 + 68.9235i −0.686583 + 0.716206i
\(22\) 54.9028 136.986i 0.532060 1.32753i
\(23\) −32.1761 182.479i −0.291703 1.65433i −0.680308 0.732926i \(-0.738154\pi\)
0.388605 0.921404i \(1.62704\pi\)
\(24\) 109.994 41.5378i 0.935515 0.353286i
\(25\) 25.0227 + 20.9966i 0.200182 + 0.167972i
\(26\) 5.36586 166.991i 0.0404743 1.25960i
\(27\) −137.542 27.6604i −0.980372 0.197157i
\(28\) −9.43714 + 146.695i −0.0636947 + 0.990097i
\(29\) 199.157 237.347i 1.27526 1.51980i 0.540796 0.841154i \(-0.318123\pi\)
0.734467 0.678645i \(-0.237432\pi\)
\(30\) 140.543 + 13.8564i 0.855319 + 0.0843273i
\(31\) −123.956 + 21.8568i −0.718167 + 0.126632i −0.520777 0.853693i \(-0.674358\pi\)
−0.197390 + 0.980325i \(0.563247\pi\)
\(32\) 88.3180 158.012i 0.487893 0.872904i
\(33\) −64.6264 + 263.305i −0.340910 + 1.38896i
\(34\) −32.7876 + 156.394i −0.165383 + 0.788864i
\(35\) −88.2826 + 152.910i −0.426357 + 0.738471i
\(36\) −189.394 + 103.856i −0.876822 + 0.480815i
\(37\) 41.7796 + 72.3645i 0.185636 + 0.321531i 0.943791 0.330544i \(-0.107232\pi\)
−0.758155 + 0.652075i \(0.773899\pi\)
\(38\) −36.8818 + 12.0973i −0.157448 + 0.0516431i
\(39\) 33.2012 + 305.139i 0.136319 + 1.25286i
\(40\) 179.235 123.087i 0.708489 0.486543i
\(41\) 29.6614 + 35.3491i 0.112984 + 0.134649i 0.819572 0.572976i \(-0.194211\pi\)
−0.706588 + 0.707625i \(0.749767\pi\)
\(42\) −20.5739 269.268i −0.0755864 0.989260i
\(43\) −117.701 323.380i −0.417422 1.14686i −0.953158 0.302473i \(-0.902188\pi\)
0.535736 0.844386i \(1.67997\pi\)
\(44\) 185.070 + 374.147i 0.634100 + 1.28193i
\(45\) −259.215 + 10.9526i −0.858700 + 0.0362827i
\(46\) 445.227 + 276.488i 1.42707 + 0.886215i
\(47\) −40.4260 + 229.267i −0.125463 + 0.711533i 0.855570 + 0.517688i \(0.173207\pi\)
−0.981032 + 0.193846i \(0.937904\pi\)
\(48\) −120.000 + 310.148i −0.360843 + 0.932626i
\(49\) −5.04477 1.83614i −0.0147078 0.00535319i
\(50\) −91.4548 + 13.1130i −0.258673 + 0.0370891i
\(51\) 19.4056 292.918i 0.0532809 0.804251i
\(52\) 341.758 + 326.373i 0.911410 + 0.870380i
\(53\) 110.781i 0.287113i −0.989642 0.143556i \(-0.954146\pi\)
0.989642 0.143556i \(-0.0458538\pi\)
\(54\) 317.791 237.641i 0.800849 0.598867i
\(55\) 501.376i 1.22919i
\(56\) −291.309 296.659i −0.695139 0.707905i
\(57\) 63.9762 31.4937i 0.148664 0.0731832i
\(58\) 124.380 + 867.471i 0.281584 + 1.96387i
\(59\) 510.698 + 185.879i 1.12690 + 0.410159i 0.837167 0.546948i \(-0.184210\pi\)
0.289736 + 0.957107i \(0.406433\pi\)
\(60\) −294.365 + 270.009i −0.633372 + 0.580966i
\(61\) 87.1157 494.058i 0.182853 1.03701i −0.745830 0.666136i \(-0.767947\pi\)
0.928683 0.370874i \(-0.120942\pi\)
\(62\) 187.815 302.437i 0.384718 0.619509i
\(63\) 106.699 + 484.509i 0.213378 + 0.968926i
\(64\) 166.331 + 484.229i 0.324865 + 0.945760i
\(65\) 194.136 + 533.385i 0.370456 + 1.01782i
\(66\) −432.902 632.965i −0.807372 1.18049i
\(67\) 148.811 + 177.346i 0.271345 + 0.323377i 0.884459 0.466618i \(-0.154528\pi\)
−0.613114 + 0.789995i \(0.710083\pi\)
\(68\) −267.691 364.163i −0.477388 0.649430i
\(69\) −881.006 388.391i −1.53711 0.677635i
\(70\) −155.646 474.528i −0.265760 0.810241i
\(71\) −396.938 687.516i −0.663491 1.14920i −0.979692 0.200508i \(-0.935741\pi\)
0.316201 0.948692i \(1.60241\pi\)
\(72\) 138.489 595.037i 0.226682 0.973969i
\(73\) 228.548 395.856i 0.366431 0.634678i −0.622573 0.782561i \(-0.713913\pi\)
0.989005 + 0.147884i \(0.0472461\pi\)
\(74\) −231.313 48.4941i −0.363372 0.0761801i
\(75\) 162.984 47.3813i 0.250930 0.0729483i
\(76\) 44.0945 100.541i 0.0665524 0.151748i
\(77\) 944.175 166.484i 1.39739 0.246397i
\(78\) −705.629 505.752i −1.02432 0.734169i
\(79\) 331.037 394.515i 0.471451 0.561853i −0.476949 0.878931i \(-0.658257\pi\)
0.948400 + 0.317078i \(0.102702\pi\)
\(80\) −78.7999 + 609.914i −0.110126 + 0.852381i
\(81\) −516.928 + 514.030i −0.709091 + 0.705117i
\(82\) −130.450 4.19171i −0.175681 0.00564509i
\(83\) −171.861 144.208i −0.227279 0.190710i 0.522036 0.852924i \(-0.325173\pi\)
−0.749315 + 0.662214i \(0.769617\pi\)
\(84\) 606.217 + 464.681i 0.787424 + 0.603582i
\(85\) −94.2692 534.627i −0.120293 0.682217i
\(86\) 903.492 + 362.111i 1.13286 + 0.454040i
\(87\) −449.423 1545.94i −0.553830 1.90509i
\(88\) −1137.58 315.933i −1.37802 0.382711i
\(89\) 425.857 + 245.869i 0.507199 + 0.292832i 0.731682 0.681647i \(-0.238736\pi\)
−0.224482 + 0.974478i \(0.572069\pi\)
\(90\) 465.988 566.881i 0.545772 0.663939i
\(91\) 939.991 542.704i 1.08283 0.625174i
\(92\) −1422.63 + 416.523i −1.61217 + 0.472017i
\(93\) −263.829 + 598.457i −0.294170 + 0.667280i
\(94\) −406.838 517.750i −0.446405 0.568105i
\(95\) 101.017 84.7630i 0.109096 0.0915421i
\(96\) −427.136 838.028i −0.454108 0.890947i
\(97\) −799.029 + 290.823i −0.836383 + 0.304419i −0.724476 0.689300i \(-0.757918\pi\)
−0.111907 + 0.993719i \(0.535696\pi\)
\(98\) 13.3872 7.16600i 0.0137991 0.00738648i
\(99\) 950.298 + 1040.00i 0.964733 + 1.05580i
\(100\) 144.919 217.454i 0.144919 0.217454i
\(101\) 75.6200 + 13.3338i 0.0744997 + 0.0131363i 0.210774 0.977535i \(-0.432402\pi\)
−0.136274 + 0.990671i \(0.543513\pi\)
\(102\) 580.623 + 593.548i 0.563630 + 0.576177i
\(103\) −271.584 + 746.171i −0.259806 + 0.713810i 0.739373 + 0.673296i \(0.235122\pi\)
−0.999179 + 0.0405143i \(0.987100\pi\)
\(104\) −1332.53 + 104.374i −1.25640 + 0.0984110i
\(105\) 405.204 + 823.129i 0.376608 + 0.765040i
\(106\) 233.438 + 209.014i 0.213901 + 0.191521i
\(107\) 1385.05 1.25138 0.625689 0.780073i \(-0.284818\pi\)
0.625689 + 0.780073i \(0.284818\pi\)
\(108\) −98.8286 + 1118.01i −0.0880535 + 0.996116i
\(109\) −485.933 −0.427009 −0.213505 0.976942i \(-0.568488\pi\)
−0.213505 + 0.976942i \(0.568488\pi\)
\(110\) −1056.50 945.959i −0.915754 0.819942i
\(111\) 433.237 + 28.7016i 0.370460 + 0.0245426i
\(112\) 1174.74 54.1307i 0.991092 0.0456685i
\(113\) −187.687 + 515.666i −0.156249 + 0.429290i −0.992974 0.118333i \(-0.962245\pi\)
0.836725 + 0.547623i \(0.184467\pi\)
\(114\) −54.3422 + 194.230i −0.0446457 + 0.159573i
\(115\) −1753.47 309.184i −1.42184 0.250709i
\(116\) −2062.60 1374.59i −1.65093 1.10024i
\(117\) 1413.66 + 738.433i 1.11704 + 0.583489i
\(118\) −1355.23 + 725.438i −1.05728 + 0.565949i
\(119\) −975.491 + 355.050i −0.751454 + 0.273507i
\(120\) −13.5748 1129.72i −0.0103267 0.859404i
\(121\) 1065.91 894.406i 0.800835 0.671980i
\(122\) 876.712 + 1115.72i 0.650605 + 0.827973i
\(123\) 238.369 25.9362i 0.174740 0.0190129i
\(124\) 282.939 + 966.378i 0.204909 + 0.699866i
\(125\) 1312.05 757.510i 0.938824 0.542030i
\(126\) −1222.27 689.300i −0.864191 0.487363i
\(127\) 918.434 + 530.258i 0.641715 + 0.370494i 0.785275 0.619147i \(-0.212522\pi\)
−0.143560 + 0.989642i \(0.545855\pi\)
\(128\) −1334.19 563.117i −0.921301 0.388851i
\(129\) −1736.62 426.243i −1.18528 0.290919i
\(130\) −1490.23 597.269i −1.00540 0.402954i
\(131\) 411.077 + 2331.33i 0.274168 + 1.55488i 0.741593 + 0.670850i \(0.234071\pi\)
−0.467425 + 0.884033i \(0.654818\pi\)
\(132\) 2150.55 + 282.022i 1.41804 + 0.185961i
\(133\) −193.166 162.086i −0.125937 0.105674i
\(134\) −654.467 21.0298i −0.421921 0.0135574i
\(135\) −701.797 + 1151.05i −0.447416 + 0.733826i
\(136\) 1272.42 + 122.998i 0.802274 + 0.0775513i
\(137\) 123.400 147.063i 0.0769548 0.0917111i −0.726193 0.687490i \(-0.758712\pi\)
0.803148 + 0.595779i \(0.203157\pi\)
\(138\) 2480.63 1123.66i 1.53018 0.693134i
\(139\) 1218.80 214.907i 0.743721 0.131138i 0.211067 0.977472i \(-0.432306\pi\)
0.532653 + 0.846334i \(0.321195\pi\)
\(140\) 1293.58 + 567.328i 0.780912 + 0.342485i
\(141\) 873.245 + 837.127i 0.521564 + 0.499992i
\(142\) 2197.64 + 460.730i 1.29875 + 0.272279i
\(143\) 1541.07 2669.21i 0.901192 1.56091i
\(144\) 992.566 + 1414.50i 0.574402 + 0.818573i
\(145\) −1488.62 2578.36i −0.852571 1.47670i
\(146\) 402.939 + 1228.47i 0.228407 + 0.696361i
\(147\) −22.5079 + 16.4792i −0.0126287 + 0.00924612i
\(148\) 538.610 395.925i 0.299145 0.219898i
\(149\) −688.324 820.313i −0.378454 0.451024i 0.542871 0.839816i \(-0.317337\pi\)
−0.921326 + 0.388791i \(0.872893\pi\)
\(150\) −207.665 + 432.834i −0.113038 + 0.235605i
\(151\) −934.339 2567.07i −0.503546 1.38348i −0.887790 0.460249i \(-0.847760\pi\)
0.384244 0.923232i \(1.62554\pi\)
\(152\) 128.666 + 282.610i 0.0686590 + 0.150807i
\(153\) −1208.86 930.296i −0.638764 0.491568i
\(154\) −1430.59 + 2303.67i −0.748571 + 1.20542i
\(155\) −210.025 + 1191.11i −0.108836 + 0.617240i
\(156\) 2397.05 532.680i 1.23024 0.273388i
\(157\) −3186.44 1159.77i −1.61978 0.589552i −0.636440 0.771326i \(-0.719594\pi\)
−0.983340 + 0.181774i \(0.941816\pi\)
\(158\) 206.743 + 1441.90i 0.104098 + 0.726022i
\(159\) −478.399 320.143i −0.238613 0.159679i
\(160\) −1136.53 1316.79i −0.561568 0.650633i
\(161\) 3404.74i 1.66665i
\(162\) −107.860 2059.10i −0.0523105 0.998631i
\(163\) 3446.63i 1.65620i 0.560579 + 0.828101i \(0.310578\pi\)
−0.560579 + 0.828101i \(0.689422\pi\)
\(164\) 254.957 266.975i 0.121395 0.127117i
\(165\) 2165.15 + 1448.91i 1.02155 + 0.683620i
\(166\) 628.130 90.0625i 0.293689 0.0421097i
\(167\) −1464.96 533.201i −0.678814 0.247068i −0.0204757 0.999790i \(-0.506518\pi\)
−0.658338 + 0.752722i \(0.728740\pi\)
\(168\) −2122.94 + 400.690i −0.974930 + 0.184011i
\(169\) 224.412 1272.71i 0.102145 0.579293i
\(170\) 1304.42 + 810.051i 0.588498 + 0.365459i
\(171\) 48.8796 367.288i 0.0218591 0.164253i
\(172\) −2467.68 + 1220.63i −1.09395 + 0.541117i
\(173\) 344.373 + 946.157i 0.151342 + 0.415809i 0.992076 0.125640i \(-0.0400983\pi\)
−0.840734 + 0.541449i \(0.817876\pi\)
\(174\) 4105.54 + 1969.75i 1.78874 + 0.858198i
\(175\) −385.806 459.786i −0.166653 0.198609i
\(176\) 2812.03 1801.01i 1.20434 0.771344i
\(177\) 2278.55 1668.24i 0.967606 0.708434i
\(178\) −1321.57 + 433.476i −0.556493 + 0.182530i
\(179\) −1611.21 2790.70i −0.672779 1.16529i −0.977113 0.212722i \(-0.931767\pi\)
0.304333 0.952566i \(1.59843\pi\)
\(180\) 315.335 + 2051.48i 0.130576 + 0.849489i
\(181\) −330.455 + 572.366i −0.135705 + 0.235048i −0.925866 0.377851i \(-0.876663\pi\)
0.790162 + 0.612898i \(0.209997\pi\)
\(182\) −629.923 + 3004.68i −0.256555 + 1.22374i
\(183\) −1881.79 1803.96i −0.760143 0.728703i
\(184\) 1806.43 3783.63i 0.723758 1.51594i
\(185\) 790.733 139.428i 0.314248 0.0554104i
\(186\) −763.291 1685.06i −0.300899 0.664273i
\(187\) −1894.80 + 2258.13i −0.740970 + 0.883054i
\(188\) 1858.59 + 119.566i 0.721020 + 0.0463845i
\(189\) 2400.65 + 939.394i 0.923925 + 0.361539i
\(190\) −11.9786 + 372.786i −0.00457379 + 0.142341i
\(191\) 1338.61 + 1123.23i 0.507113 + 0.425518i 0.860112 0.510105i \(-0.170394\pi\)
−0.352999 + 0.935624i \(0.614838\pi\)
\(192\) 2571.78 + 681.071i 0.966677 + 0.256000i
\(193\) 753.723 + 4274.57i 0.281110 + 1.59425i 0.718860 + 0.695155i \(0.244664\pi\)
−0.437750 + 0.899097i \(0.644225\pi\)
\(194\) 894.729 2232.41i 0.331123 0.826175i
\(195\) 2864.41 + 703.049i 1.05192 + 0.258187i
\(196\) −10.1578 + 41.7297i −0.00370184 + 0.0152076i
\(197\) −3588.42 2071.78i −1.29779 0.749279i −0.317768 0.948169i \(-0.602933\pi\)
−0.980022 + 0.198889i \(0.936267\pi\)
\(198\) −3984.43 + 40.2695i −1.43011 + 0.0144537i
\(199\) 1084.99 626.421i 0.386498 0.223145i −0.294144 0.955761i \(-0.595034\pi\)
0.680642 + 0.732617i \(0.261701\pi\)
\(200\) 184.795 + 715.647i 0.0653349 + 0.253019i
\(201\) 1195.90 130.122i 0.419662 0.0456620i
\(202\) −170.771 + 134.189i −0.0594823 + 0.0467400i
\(203\) −4361.19 + 3659.47i −1.50786 + 1.26524i
\(204\) −2346.20 + 103.622i −0.805229 + 0.0355636i
\(205\) 416.671 151.656i 0.141959 0.0516688i
\(206\) −1059.92 1980.10i −0.358487 0.669709i
\(207\) −4223.22 + 2682.15i −1.41804 + 0.900592i
\(208\) 2294.19 3004.83i 0.764776 1.00167i
\(209\) −705.158 124.338i −0.233382 0.0411515i
\(210\) −2499.00 699.177i −0.821178 0.229751i
\(211\) 918.340 2523.12i 0.299626 0.823216i −0.694936 0.719072i \(-0.744567\pi\)
0.994562 0.104145i \(-0.0332105\pi\)
\(212\) −880.865 + 97.5462i −0.285368 + 0.0316014i
\(213\) −4116.08 272.686i −1.32408 0.0877191i
\(214\) −2613.20 + 2918.56i −0.834742 + 0.932283i
\(215\) −3306.82 −1.04894
\(216\) −2169.40 2317.63i −0.683375 0.730068i
\(217\) 2312.80 0.723516
\(218\) 916.823 1023.96i 0.284840 0.318124i
\(219\) −1049.00 2130.93i −0.323675 0.657512i
\(220\) 3986.64 441.476i 1.22172 0.135292i
\(221\) −1141.40 + 3135.98i −0.347417 + 0.954520i
\(222\) −877.880 + 858.762i −0.265403 + 0.259623i
\(223\) −5207.99 918.309i −1.56391 0.275760i −0.676398 0.736537i \(-0.736460\pi\)
−0.887516 + 0.460777i \(0.847571\pi\)
\(224\) −2102.34 + 2577.53i −0.627093 + 0.768832i
\(225\) 266.389 840.758i 0.0789302 0.249113i
\(226\) −732.494 1368.41i −0.215596 0.402768i
\(227\) 3902.72 1420.47i 1.14111 0.415331i 0.298797 0.954317i \(-0.403415\pi\)
0.842315 + 0.538986i \(0.181192\pi\)
\(228\) −306.752 480.969i −0.0891015 0.139706i
\(229\) 3397.41 2850.77i 0.980381 0.822637i −0.00376603 0.999993i \(-0.501199\pi\)
0.984147 + 0.177356i \(0.0567543\pi\)
\(230\) 3959.82 3111.55i 1.13523 0.892041i
\(231\) 2009.59 4558.45i 0.572387 1.29837i
\(232\) 6788.09 1752.83i 1.92095 0.496029i
\(233\) −435.336 + 251.341i −0.122403 + 0.0706692i −0.559951 0.828526i \(-0.689180\pi\)
0.437549 + 0.899195i \(0.355847\pi\)
\(234\) −4223.22 + 1585.64i −1.17983 + 0.442977i
\(235\) 1937.34 + 1118.52i 0.537778 + 0.310486i
\(236\) 1028.31 4224.44i 0.283633 1.16520i
\(237\) −747.026 2569.65i −0.204745 0.704290i
\(238\) 1092.33 2725.43i 0.297500 0.742283i
\(239\) 273.123 + 1548.96i 0.0739198 + 0.419220i 0.999202 + 0.0399408i \(0.0127169\pi\)
−0.925282 + 0.379279i \(0.876172\pi\)
\(240\) 2406.14 + 2102.86i 0.647149 + 0.565579i
\(241\) 1968.40 + 1651.68i 0.526123 + 0.441470i 0.866760 0.498725i \(-0.166198\pi\)
−0.340637 + 0.940195i \(0.610643\pi\)
\(242\) −126.396 + 3933.58i −0.0335747 + 1.04488i
\(243\) 725.945 + 3717.78i 0.191644 + 0.981465i
\(244\) −4005.16 257.659i −1.05084 0.0676021i
\(245\) −33.1594 + 39.5178i −0.00864683 + 0.0103049i
\(246\) −395.085 + 551.224i −0.102397 + 0.142865i
\(247\) −798.323 + 140.766i −0.205652 + 0.0362620i
\(248\) −2570.17 1227.08i −0.658090 0.314193i
\(249\) −1119.41 + 325.424i −0.284898 + 0.0828229i
\(250\) −879.251 + 4193.95i −0.222435 + 1.06099i
\(251\) 3816.86 6611.00i 0.959834 1.66248i 0.236936 0.971525i \(-0.423857\pi\)
0.722897 0.690955i \(-0.242810\pi\)
\(252\) 3758.57 1275.03i 0.939554 0.318727i
\(253\) 4834.06 + 8372.84i 1.20124 + 2.08062i
\(254\) −2850.19 + 934.866i −0.704082 + 0.230940i
\(255\) −2581.17 1137.91i −0.633878 0.279445i
\(256\) 3703.84 1748.94i 0.904258 0.426987i
\(257\) −945.824 1127.19i −0.229568 0.273588i 0.638948 0.769250i \(-0.279370\pi\)
−0.868516 + 0.495662i \(0.834926\pi\)
\(258\) 4174.71 2855.20i 1.00739 0.688981i
\(259\) −525.131 1442.79i −0.125985 0.346140i
\(260\) 4070.21 2013.32i 0.970861 0.480233i
\(261\) −7974.79 2526.77i −1.89129 0.599245i
\(262\) −5688.16 3532.37i −1.34128 0.832941i
\(263\) −220.856 + 1252.54i −0.0517816 + 0.293668i −0.999691 0.0248732i \(-0.992082\pi\)
0.947909 + 0.318541i \(0.103193\pi\)
\(264\) −4651.77 + 3999.52i −1.08446 + 0.932399i
\(265\) −1000.31 364.084i −0.231882 0.0843981i
\(266\) 705.997 101.227i 0.162735 0.0233332i
\(267\) 2292.43 1128.50i 0.525447 0.258663i
\(268\) 1279.11 1339.41i 0.291546 0.305290i
\(269\) 4233.57i 0.959575i −0.877385 0.479787i \(-0.840714\pi\)
0.877385 0.479787i \(-0.159286\pi\)
\(270\) −1101.38 3650.54i −0.248252 0.822832i
\(271\) 6622.70i 1.48450i −0.670122 0.742251i \(-0.733758\pi\)
0.670122 0.742251i \(-0.266242\pi\)
\(272\) −2659.89 + 2449.18i −0.592940 + 0.545967i
\(273\) 372.824 5627.61i 0.0826533 1.24761i
\(274\) 77.0671 + 537.496i 0.0169920 + 0.118508i
\(275\) −1601.57 582.924i −0.351194 0.127824i
\(276\) −2312.50 + 7347.22i −0.504334 + 1.60236i
\(277\) −819.849 + 4649.60i −0.177834 + 1.00855i 0.756988 + 0.653429i \(0.226670\pi\)
−0.934822 + 0.355117i \(0.884441\pi\)
\(278\) −1846.69 + 2973.72i −0.398406 + 0.641553i
\(279\) 1821.95 + 2868.78i 0.390959 + 0.615590i
\(280\) −3636.11 + 1655.44i −0.776067 + 0.353326i
\(281\) −2137.68 5873.24i −0.453820 1.24686i −0.930015 0.367521i \(-0.880207\pi\)
0.476195 0.879340i \(-0.342016\pi\)
\(282\) −3411.56 + 260.667i −0.720410 + 0.0550444i
\(283\) 5349.42 + 6375.19i 1.12364 + 1.33910i 0.934011 + 0.357245i \(0.116284\pi\)
0.189628 + 0.981856i \(0.439272\pi\)
\(284\) −5117.20 + 3761.59i −1.06919 + 0.785948i
\(285\) −74.1176 681.185i −0.0154047 0.141579i
\(286\) 2716.96 + 8283.39i 0.561739 + 1.71261i
\(287\) −423.951 734.304i −0.0871952 0.151026i
\(288\) −4853.32 577.235i −0.993001 0.118104i
\(289\) −860.615 + 1490.63i −0.175171 + 0.303405i
\(290\) 8241.71 + 1727.85i 1.66886 + 0.349873i
\(291\) −1053.19 + 4290.98i −0.212162 + 0.864404i
\(292\) −3348.85 1468.71i −0.671153 0.294348i
\(293\) 1016.72 179.274i 0.202721 0.0357451i −0.0713656 0.997450i \(-0.522736\pi\)
0.274086 + 0.961705i \(0.411625\pi\)
\(294\) 7.74144 78.5202i 0.00153568 0.0155762i
\(295\) 3356.83 4000.52i 0.662516 0.789556i
\(296\) −181.918 + 1881.96i −0.0357222 + 0.369549i
\(297\) 7237.38 1098.33i 1.41399 0.214584i
\(298\) 3027.24 + 97.2732i 0.588467 + 0.0189090i
\(299\) 8384.71 + 7035.61i 1.62174 + 1.36080i
\(300\) −520.260 1254.23i −0.100124 0.241377i
\(301\) 1098.04 + 6227.30i 0.210266 + 1.19248i
\(302\) 7172.16 + 2874.53i 1.36660 + 0.547718i
\(303\) 276.112 288.025i 0.0523506 0.0546093i
\(304\) −838.270 262.083i −0.158152 0.0494457i
\(305\) −4174.85 2410.35i −0.783774 0.452512i
\(306\) 4241.11 792.097i 0.792314 0.147978i
\(307\) 4655.14 2687.65i 0.865416 0.499648i −0.000406119 1.00000i \(-0.500129\pi\)
0.865822 + 0.500352i \(0.166796\pi\)
\(308\) −2155.15 7360.92i −0.398705 1.36178i
\(309\) 2437.43 + 3329.14i 0.448740 + 0.612907i
\(310\) −2113.64 2689.86i −0.387247 0.492818i
\(311\) −1484.30 + 1245.48i −0.270633 + 0.227088i −0.767996 0.640454i \(-0.778746\pi\)
0.497363 + 0.867542i \(0.334302\pi\)
\(312\) −3400.11 + 6056.06i −0.616966 + 1.09890i
\(313\) −2268.86 + 825.799i −0.409724 + 0.149128i −0.538656 0.842526i \(-0.681068\pi\)
0.128931 + 0.991654i \(0.458845\pi\)
\(314\) 8455.79 4526.28i 1.51971 0.813480i
\(315\) 4725.60 + 628.893i 0.845261 + 0.112489i
\(316\) −3428.43 2284.83i −0.610330 0.406745i
\(317\) 546.031 + 96.2799i 0.0967449 + 0.0170587i 0.221811 0.975090i \(-0.428803\pi\)
−0.125066 + 0.992148i \(0.539914\pi\)
\(318\) 1577.21 404.058i 0.278131 0.0712531i
\(319\) −5529.18 + 15191.3i −0.970453 + 2.66630i
\(320\) 4919.05 + 89.5212i 0.859323 + 0.0156387i
\(321\) 4002.59 5981.20i 0.695959 1.03999i
\(322\) −7174.45 6423.81i −1.24167 1.11175i
\(323\) 775.302 0.133557
\(324\) 4542.43 + 3657.68i 0.778880 + 0.627174i
\(325\) −1929.53 −0.329327
\(326\) −7262.71 6502.84i −1.23388 1.10478i
\(327\) −1404.28 + 2098.46i −0.237483 + 0.354878i
\(328\) 81.5353 + 1040.95i 0.0137257 + 0.175235i
\(329\) 1463.07 4019.74i 0.245171 0.673603i
\(330\) −7138.17 + 1828.70i −1.19074 + 0.305050i
\(331\) 5590.47 + 985.750i 0.928338 + 0.163691i 0.617319 0.786713i \(-0.288219\pi\)
0.311019 + 0.950404i \(0.399330\pi\)
\(332\) −995.330 + 1493.51i −0.164536 + 0.246889i
\(333\) 1375.94 1787.95i 0.226430 0.294232i
\(334\) 3887.53 2080.95i 0.636876 0.340911i
\(335\) 2090.43 760.856i 0.340933 0.124090i
\(336\) 3161.07 5229.43i 0.513246 0.849074i
\(337\) −4882.71 + 4097.08i −0.789252 + 0.662261i −0.945560 0.325447i \(-0.894485\pi\)
0.156308 + 0.987708i \(0.450041\pi\)
\(338\) 2258.43 + 2874.13i 0.363440 + 0.462521i
\(339\) 1684.47 + 2300.72i 0.269876 + 0.368607i
\(340\) −4168.02 + 1220.33i −0.664832 + 0.194651i
\(341\) 5687.57 3283.72i 0.903224 0.521476i
\(342\) 681.725 + 795.971i 0.107788 + 0.125851i
\(343\) 5543.59 + 3200.59i 0.872670 + 0.503836i
\(344\) 2083.73 7502.87i 0.326591 1.17595i
\(345\) −6402.46 + 6678.70i −0.999121 + 1.04223i
\(346\) −2643.47 1059.48i −0.410734 0.164618i
\(347\) −473.597 2685.90i −0.0732681 0.415524i −0.999277 0.0380221i \(-0.987894\pi\)
0.926009 0.377502i \(1.87678\pi\)
\(348\) −11896.7 + 4934.79i −1.83255 + 0.760151i
\(349\) 5235.18 + 4392.84i 0.802959 + 0.673763i 0.948916 0.315528i \(-0.102182\pi\)
−0.145957 + 0.989291i \(0.546626\pi\)
\(350\) 1696.77 + 54.5218i 0.259132 + 0.00832660i
\(351\) 7274.15 3970.81i 1.10617 0.603836i
\(352\) −1510.44 + 9323.51i −0.228712 + 1.41177i
\(353\) −2870.02 + 3420.35i −0.432736 + 0.515714i −0.937709 0.347420i \(-0.887058\pi\)
0.504974 + 0.863135i \(0.331502\pi\)
\(354\) −783.692 + 7948.86i −0.117663 + 1.19344i
\(355\) −7512.55 + 1324.67i −1.12317 + 0.198045i
\(356\) 1580.02 3602.65i 0.235227 0.536349i
\(357\) −1285.78 + 5238.62i −0.190619 + 0.776630i
\(358\) 8920.45 + 1870.15i 1.31693 + 0.276091i
\(359\) −2360.36 + 4088.27i −0.347006 + 0.601032i −0.985716 0.168416i \(-0.946135\pi\)
0.638710 + 0.769447i \(0.279468\pi\)
\(360\) −4917.81 3206.10i −0.719976 0.469379i
\(361\) −3335.34 5776.97i −0.486272 0.842247i
\(362\) −582.606 1776.23i −0.0845887 0.257891i
\(363\) −782.077 7187.75i −0.113081 1.03928i
\(364\) −5142.94 6996.37i −0.740559 1.00744i
\(365\) −2823.31 3364.69i −0.404873 0.482509i
\(366\) 7351.73 561.723i 1.04995 0.0802234i
\(367\) −1645.76 4521.68i −0.234081 0.643133i −1.00000 0.000195436i \(-0.999938\pi\)
0.765919 0.642937i \(1.77772\pi\)
\(368\) 4564.61 + 10945.2i 0.646595 + 1.55042i
\(369\) 576.851 1104.33i 0.0813812 0.155797i
\(370\) −1198.10 + 1929.29i −0.168341 + 0.271078i
\(371\) −353.474 + 2004.65i −0.0494649 + 0.280529i
\(372\) 4990.88 + 1570.85i 0.695604 + 0.218938i
\(373\) 8402.54 + 3058.28i 1.16640 + 0.424535i 0.851380 0.524550i \(-0.175766\pi\)
0.315020 + 0.949085i \(0.397989\pi\)
\(374\) −1183.36 8253.19i −0.163610 1.14108i
\(375\) 520.391 7855.06i 0.0716610 1.08169i
\(376\) −3758.60 + 3690.82i −0.515519 + 0.506222i
\(377\) 18302.1i 2.50028i
\(378\) −6508.86 + 3286.26i −0.885661 + 0.447162i
\(379\) 6105.87i 0.827540i −0.910381 0.413770i \(-0.864212\pi\)
0.910381 0.413770i \(-0.135788\pi\)
\(380\) −762.932 728.587i −0.102994 0.0983571i
\(381\) 4944.02 2433.80i 0.664803 0.327264i
\(382\) −4892.46 + 701.490i −0.655288 + 0.0939564i
\(383\) −6460.76 2351.52i −0.861957 0.313727i −0.127051 0.991896i \(-0.540551\pi\)
−0.734906 + 0.678170i \(0.762774\pi\)
\(384\) −6287.38 + 4134.24i −0.835551 + 0.549412i
\(385\) 1599.76 9072.69i 0.211770 1.20101i
\(386\) −10429.4 6476.71i −1.37524 0.854031i
\(387\) −6859.30 + 6267.68i −0.900976 + 0.823266i
\(388\) 3016.02 + 6097.32i 0.394626 + 0.797795i
\(389\) −566.701 1557.00i −0.0738635 0.202938i 0.897266 0.441489i \(-0.145550\pi\)
−0.971130 + 0.238551i \(0.923328\pi\)
\(390\) −6885.81 + 4709.40i −0.894042 + 0.611460i
\(391\) −6728.93 8019.22i −0.870324 1.03721i
\(392\) −68.7675 100.137i −0.00886042 0.0129023i
\(393\) 11255.6 + 4962.04i 1.44471 + 0.636900i
\(394\) 11136.0 3652.63i 1.42392 0.467047i
\(395\) −2474.36 4285.72i −0.315186 0.545919i
\(396\) 7432.68 8471.95i 0.943197 1.07508i
\(397\) 1674.27 2899.92i 0.211660 0.366606i −0.740574 0.671975i \(-0.765446\pi\)
0.952234 + 0.305369i \(0.0987797\pi\)
\(398\) −727.094 + 3468.17i −0.0915727 + 0.436794i
\(399\) −1258.18 + 365.766i −0.157864 + 0.0458927i
\(400\) −1856.66 960.831i −0.232083 0.120104i
\(401\) −13677.2 + 2411.66i −1.70326 + 0.300331i −0.938832 0.344376i \(-0.888091\pi\)
−0.764430 + 0.644707i \(0.776979\pi\)
\(402\) −1982.14 + 2765.49i −0.245920 + 0.343109i
\(403\) 4779.20 5695.63i 0.590742 0.704019i
\(404\) 39.4370 613.025i 0.00485659 0.0754929i
\(405\) 2942.61 + 6357.02i 0.361035 + 0.779958i
\(406\) 517.152 16094.3i 0.0632163 1.96735i
\(407\) −3339.86 2802.48i −0.406759 0.341311i
\(408\) 4208.28 5139.40i 0.510640 0.623623i
\(409\) −1503.65 8527.62i −0.181787 1.03096i −0.930015 0.367522i \(-0.880206\pi\)
0.748228 0.663441i \(-0.230905\pi\)
\(410\) −466.576 + 1164.14i −0.0562013 + 0.140226i
\(411\) −278.468 957.885i −0.0334205 0.114961i
\(412\) 6172.24 + 1502.45i 0.738069 + 0.179661i
\(413\) −8648.30 4993.10i −1.03040 0.594901i
\(414\) 2316.25 13959.6i 0.274969 1.65719i
\(415\) −1866.97 + 1077.90i −0.220834 + 0.127498i
\(416\) 2003.26 + 10503.6i 0.236100 + 1.23794i
\(417\) 2594.10 5884.33i 0.304637 0.691024i
\(418\) 1592.45 1251.31i 0.186337 0.146420i
\(419\) 76.7315 64.3854i 0.00894649 0.00750700i −0.638303 0.769785i \(-0.720363\pi\)
0.647250 + 0.762278i \(0.275919\pi\)
\(420\) 6188.23 3946.72i 0.718940 0.458525i
\(421\) −8088.51 + 2943.98i −0.936365 + 0.340809i −0.764730 0.644351i \(-0.777127\pi\)
−0.171636 + 0.985160i \(0.554905\pi\)
\(422\) 3584.04 + 6695.55i 0.413432 + 0.772356i
\(423\) 6138.62 1351.85i 0.705603 0.155388i
\(424\) 1456.40 2040.20i 0.166814 0.233681i
\(425\) 1817.39 + 320.455i 0.207427 + 0.0365749i
\(426\) 8340.51 8158.88i 0.948589 0.927932i
\(427\) −3152.82 + 8662.31i −0.357320 + 0.981730i
\(428\) −1219.57 11013.0i −0.137734 1.24377i
\(429\) −7073.26 14368.6i −0.796038 1.61707i
\(430\) 6239.06 6968.11i 0.699707 0.781469i
\(431\) 6014.74 0.672204 0.336102 0.941826i \(-0.390891\pi\)
0.336102 + 0.941826i \(0.390891\pi\)
\(432\) 8976.75 198.616i 0.999755 0.0221201i
\(433\) −6981.73 −0.774875 −0.387437 0.921896i \(-0.626640\pi\)
−0.387437 + 0.921896i \(0.626640\pi\)
\(434\) −4363.62 + 4873.52i −0.482628 + 0.539024i
\(435\) −15436.3 1022.64i −1.70141 0.112717i
\(436\) 427.879 + 3863.85i 0.0469993 + 0.424415i
\(437\) 869.700 2389.48i 0.0952023 0.261566i
\(438\) 6469.47 + 1810.04i 0.705760 + 0.197459i
\(439\) 1124.05 + 198.201i 0.122205 + 0.0215481i 0.234416 0.972136i \(-0.424682\pi\)
−0.112211 + 0.993684i \(0.535793\pi\)
\(440\) −6591.41 + 9233.56i −0.714167 + 1.00044i
\(441\) 6.11914 + 144.821i 0.000660743 + 0.0156377i
\(442\) −4454.60 8321.89i −0.479375 0.895548i
\(443\) 4495.50 1636.23i 0.482139 0.175484i −0.0895045 0.995986i \(-0.528528\pi\)
0.571643 + 0.820502i \(0.306306\pi\)
\(444\) −153.261 3470.11i −0.0163816 0.370910i
\(445\) 3619.68 3037.27i 0.385594 0.323552i
\(446\) 11761.1 9241.64i 1.24866 0.981176i
\(447\) −5531.61 + 601.877i −0.585316 + 0.0636864i
\(448\) −1464.81 9293.14i −0.154477 0.980043i
\(449\) 10728.4 6194.02i 1.12762 0.651033i 0.184287 0.982873i \(-0.441003\pi\)
0.943336 + 0.331839i \(0.107669\pi\)
\(450\) 1269.04 + 2147.61i 0.132940 + 0.224977i
\(451\) −2085.14 1203.85i −0.217706 0.125692i
\(452\) 4265.53 + 1038.32i 0.443880 + 0.108049i
\(453\) −13785.8 3383.63i −1.42983 0.350942i
\(454\) −4370.14 + 10903.8i −0.451764 + 1.12718i
\(455\) −1811.12 10271.4i −0.186608 1.05831i
\(456\) 1592.25 + 261.071i 0.163517 + 0.0268109i
\(457\) 4498.71 + 3774.87i 0.460484 + 0.386392i 0.843309 0.537429i \(-0.180604\pi\)
−0.382825 + 0.923821i \(0.625049\pi\)
\(458\) −402.867 + 12537.6i −0.0411021 + 1.27914i
\(459\) −7510.85 + 2531.95i −0.763783 + 0.257475i
\(460\) −914.460 + 14214.8i −0.0926890 + 1.44080i
\(461\) −3282.64 + 3912.10i −0.331644 + 0.395238i −0.905937 0.423412i \(-0.860832\pi\)
0.574294 + 0.818649i \(0.305277\pi\)
\(462\) 5814.00 + 12835.2i 0.585480 + 1.29252i
\(463\) −12453.4 + 2195.87i −1.25002 + 0.220412i −0.759205 0.650851i \(-0.774412\pi\)
−0.490815 + 0.871264i \(0.663301\pi\)
\(464\) −9113.72 + 17610.9i −0.911840 + 1.76200i
\(465\) 4536.76 + 4349.11i 0.452445 + 0.433732i
\(466\) 291.735 1391.55i 0.0290008 0.138331i
\(467\) −9139.44 + 15830.0i −0.905617 + 1.56857i −0.0855298 + 0.996336i \(0.527258\pi\)
−0.820087 + 0.572239i \(0.806075\pi\)
\(468\) 4626.80 11890.8i 0.456996 1.17447i
\(469\) −2126.96 3684.00i −0.209411 0.362710i
\(470\) −6012.16 + 1972.00i −0.590043 + 0.193535i
\(471\) −14216.7 + 10408.8i −1.39081 + 1.01828i
\(472\) 6961.56 + 10137.2i 0.678881 + 0.988565i
\(473\) 11541.8 + 13755.0i 1.12197 + 1.33711i
\(474\) 6824.19 + 3274.10i 0.661277 + 0.317266i
\(475\) 153.316 + 421.232i 0.0148097 + 0.0406894i
\(476\) 3682.09 + 7443.88i 0.354555 + 0.716785i
\(477\) −2765.02 + 1140.76i −0.265412 + 0.109500i
\(478\) −3779.26 2346.93i −0.361630 0.224574i
\(479\) 1196.57 6786.11i 0.114140 0.647318i −0.873033 0.487661i \(-0.837850\pi\)
0.987173 0.159657i \(-0.0510387\pi\)
\(480\) −8970.86 + 1102.69i −0.853046 + 0.104855i
\(481\) −4638.23 1688.18i −0.439678 0.160030i
\(482\) −7194.24 + 1031.52i −0.679852 + 0.0974785i
\(483\) 14703.1 + 9839.23i 1.38512 + 0.926916i
\(484\) −8050.34 7687.93i −0.756042 0.722007i
\(485\) 8170.72i 0.764976i
\(486\) −9203.75 5484.73i −0.859034 0.511919i
\(487\) 4509.20i 0.419571i −0.977747 0.209786i \(-0.932723\pi\)
0.977747 0.209786i \(-0.0672766\pi\)
\(488\) 8099.57 7953.51i 0.751333 0.737784i
\(489\) 14884.0 + 9960.28i 1.37643 + 0.921104i
\(490\) −20.7090 144.432i −0.00190926 0.0133159i
\(491\) −5554.97 2021.84i −0.510575 0.185834i 0.0738693 0.997268i \(-0.476465\pi\)
−0.584444 + 0.811434i \(0.698687\pi\)
\(492\) −416.120 1872.53i −0.0381304 0.171586i
\(493\) 3039.59 17238.4i 0.277680 1.57480i
\(494\) 1209.60 1947.81i 0.110167 0.177401i
\(495\) 12514.0 5162.86i 1.13628 0.468795i
\(496\) 7434.92 3100.68i 0.673060 0.280695i
\(497\) 4989.14 + 13707.5i 0.450289 + 1.23716i
\(498\) 1426.28 2972.79i 0.128340 0.267498i
\(499\) 4590.83 + 5471.13i 0.411851 + 0.490825i 0.931595 0.363497i \(-0.118417\pi\)
−0.519745 + 0.854322i \(0.673973\pi\)
\(500\) −7178.56 9765.58i −0.642070 0.873460i
\(501\) −6536.11 + 4785.42i −0.582858 + 0.426740i
\(502\) 6729.28 + 20516.0i 0.598292 + 1.82405i
\(503\) 4814.95 + 8339.73i 0.426815 + 0.739265i 0.996588 0.0825370i \(-0.0263023\pi\)
−0.569773 + 0.821802i \(0.692969\pi\)
\(504\) −4404.65 + 10325.7i −0.389284 + 0.912582i
\(505\) 368.926 638.998i 0.0325089 0.0563070i
\(506\) −26763.8 5610.95i −2.35137 0.492959i
\(507\) −4847.55 4647.05i −0.424630 0.407067i
\(508\) 3407.58 7769.74i 0.297612 0.678595i
\(509\) 15088.6 2660.54i 1.31393 0.231682i 0.527605 0.849490i \(-0.323090\pi\)
0.786329 + 0.617808i \(0.211979\pi\)
\(510\) 7267.74 3292.10i 0.631021 0.285836i
\(511\) −5398.78 + 6434.02i −0.467374 + 0.556995i
\(512\) −3302.77 + 11104.5i −0.285085 + 0.958502i
\(513\) −1444.85 1272.49i −0.124350 0.109517i
\(514\) 4159.72 + 133.663i 0.356960 + 0.0114701i
\(515\) 5845.07 + 4904.60i 0.500126 + 0.419655i
\(516\) −1860.08 + 14183.9i −0.158692 + 1.21010i
\(517\) −2109.31 11962.5i −0.179434 1.01762i
\(518\) 4031.01 + 1615.59i 0.341916 + 0.137037i
\(519\) 5081.09 + 1247.12i 0.429740 + 0.105477i
\(520\) −3436.93 + 12375.3i −0.289845 + 1.04364i
\(521\) 1038.32 + 599.473i 0.0873119 + 0.0504096i 0.543020 0.839720i \(-0.317281\pi\)
−0.455708 + 0.890129i \(0.650614\pi\)
\(522\) 20370.6 12037.1i 1.70804 1.00929i
\(523\) 3988.69 2302.87i 0.333486 0.192538i −0.323902 0.946091i \(-0.604995\pi\)
0.657388 + 0.753552i \(0.271661\pi\)
\(524\) 18175.4 5321.45i 1.51526 0.443642i
\(525\) −3100.47 + 337.353i −0.257744 + 0.0280443i
\(526\) −2222.64 2828.58i −0.184243 0.234471i
\(527\) −5447.36 + 4570.88i −0.450267 + 0.377819i
\(528\) 348.851 17348.2i 0.0287534 1.42989i
\(529\) −20830.2 + 7581.58i −1.71203 + 0.623127i
\(530\) 2654.51 1420.92i 0.217556 0.116455i
\(531\) −619.461 14660.7i −0.0506258 1.19816i
\(532\) −1118.72 + 1678.66i −0.0911702 + 0.136803i
\(533\) −2684.40 473.332i −0.218150 0.0384658i
\(534\) −1947.22 + 6959.76i −0.157799 + 0.564005i
\(535\) 4551.97 12506.4i 0.367848 1.01065i
\(536\) 409.062 + 5222.45i 0.0329641 + 0.420849i
\(537\) −16707.6 1106.86i −1.34262 0.0889471i
\(538\) 8920.96 + 7987.59i 0.714888 + 0.640092i
\(539\) 280.114 0.0223847
\(540\) 9770.40 + 4566.74i 0.778613 + 0.363928i
\(541\) 21417.2 1.70202 0.851012 0.525145i \(-0.175989\pi\)
0.851012 + 0.525145i \(0.175989\pi\)
\(542\) 13955.3 + 12495.2i 1.10596 + 0.990250i
\(543\) 1516.74 + 3081.10i 0.119870 + 0.243504i
\(544\) −142.402 10225.8i −0.0112232 0.805936i
\(545\) −1597.03 + 4387.79i −0.125521 + 0.344867i
\(546\) 11155.0 + 11403.4i 0.874344 + 0.893808i
\(547\) −13460.6 2373.46i −1.05216 0.185525i −0.379286 0.925280i \(-0.623830\pi\)
−0.672876 + 0.739755i \(0.734941\pi\)
\(548\) −1278.01 851.711i −0.0996240 0.0663929i
\(549\) −13228.4 + 2913.16i −1.02837 + 0.226468i
\(550\) 4250.06 2275.00i 0.329497 0.176375i
\(551\) 3995.49 1454.24i 0.308918 0.112437i
\(552\) −11119.0 18735.1i −0.857345 1.44460i
\(553\) −7249.12 + 6082.73i −0.557439 + 0.467747i
\(554\) −8250.77 10500.1i −0.632746 0.805246i
\(555\) 1683.00 3817.64i 0.128720 0.291981i
\(556\) −2782.00 9501.92i −0.212200 0.724768i
\(557\) 3889.83 2245.79i 0.295902 0.170839i −0.344698 0.938713i \(-0.612019\pi\)
0.640600 + 0.767874i \(0.278686\pi\)
\(558\) −9482.61 1573.40i −0.719410 0.119368i
\(559\) 17604.7 + 10164.1i 1.33202 + 0.769043i
\(560\) 3372.01 10785.3i 0.254453 0.813863i
\(561\) 4275.85 + 14708.2i 0.321794 + 1.10692i
\(562\) 16409.3 + 6576.68i 1.23164 + 0.493630i
\(563\) 263.958 + 1496.98i 0.0197593 + 0.112061i 0.993092 0.117337i \(-0.0374356\pi\)
−0.973333 + 0.229397i \(0.926325\pi\)
\(564\) 5887.41 7680.63i 0.439547 0.573427i
\(565\) 4039.43 + 3389.49i 0.300779 + 0.252384i
\(566\) −23526.6 755.974i −1.74717 0.0561413i
\(567\) 10994.3 7652.30i 0.814312 0.566784i
\(568\) 1728.36 17880.0i 0.127677 1.32082i
\(569\) 9677.56 11533.3i 0.713013 0.849735i −0.280919 0.959731i \(-0.590639\pi\)
0.993932 + 0.109996i \(0.0350838\pi\)
\(570\) 1575.23 + 1129.03i 0.115753 + 0.0829646i
\(571\) 6147.94 1084.05i 0.450584 0.0794501i 0.0562486 0.998417i \(-0.482086\pi\)
0.394335 + 0.918967i \(0.370975\pi\)
\(572\) −22580.9 9903.31i −1.65062 0.723913i
\(573\) 8718.98 2534.70i 0.635673 0.184797i
\(574\) 2347.20 + 492.085i 0.170680 + 0.0357826i
\(575\) 3026.31 5241.72i 0.219488 0.380165i
\(576\) 10373.2 9137.79i 0.750378 0.661009i
\(577\) −2246.17 3890.48i −0.162061 0.280698i 0.773547 0.633739i \(-0.218481\pi\)
−0.935608 + 0.353041i \(0.885148\pi\)
\(578\) −1517.30 4625.89i −0.109189 0.332892i
\(579\) 20637.5 + 9098.04i 1.48129 + 0.653026i
\(580\) −19190.8 + 14106.9i −1.37389 + 1.00993i
\(581\) 2649.79 + 3157.90i 0.189212 + 0.225494i
\(582\) −7054.84 10315.2i −0.502461 0.734670i
\(583\) 1976.96 + 5431.65i 0.140441 + 0.385859i
\(584\) 9413.22 4285.63i 0.666990 0.303665i
\(585\) 11313.8 10338.0i 0.799603 0.730637i
\(586\) −1540.50 + 2480.66i −0.108596 + 0.174872i
\(587\) −313.508 + 1777.99i −0.0220440 + 0.125018i −0.993844 0.110789i \(-0.964662\pi\)
0.971800 + 0.235807i \(0.0757733\pi\)
\(588\) 150.851 + 164.459i 0.0105799 + 0.0115343i
\(589\) −1623.15 590.777i −0.113549 0.0413286i
\(590\) 2096.44 + 14621.4i 0.146287 + 1.02026i
\(591\) −19316.8 + 9509.14i −1.34448 + 0.661851i
\(592\) −3622.42 3934.08i −0.251488 0.273124i
\(593\) 14057.3i 0.973467i −0.873551 0.486733i \(-0.838188\pi\)
0.873551 0.486733i \(-0.161812\pi\)
\(594\) −11340.6 + 17322.8i −0.783348 + 1.19657i
\(595\) 9975.18i 0.687299i
\(596\) −5916.54 + 6195.45i −0.406629 + 0.425798i
\(597\) 430.336 6495.72i 0.0295016 0.445313i
\(598\) −30645.0 + 4393.95i −2.09560 + 0.300471i
\(599\) 5522.78 + 2010.13i 0.376719 + 0.137115i 0.523438 0.852064i \(-0.324649\pi\)
−0.146719 + 0.989178i \(0.546871\pi\)
\(600\) 3624.49 + 1270.10i 0.246615 + 0.0864193i
\(601\) 4772.36 27065.4i 0.323908 1.83697i −0.193336 0.981133i \(-0.561931\pi\)
0.517243 0.855838i \(-0.326958\pi\)
\(602\) −15193.8 9435.42i −1.02866 0.638802i
\(603\) 2894.06 5540.41i 0.195448 0.374167i
\(604\) −19589.1 + 9689.68i −1.31965 + 0.652761i
\(605\) −4573.01 12564.2i −0.307305 0.844313i
\(606\) 85.9768 + 1125.25i 0.00576331 + 0.0754291i
\(607\) 6406.53 + 7635.01i 0.428391 + 0.510536i 0.936457 0.350782i \(-0.114084\pi\)
−0.508067 + 0.861318i \(0.669640\pi\)
\(608\) 2133.85 1271.92i 0.142334 0.0848406i
\(609\) 3199.87 + 29408.8i 0.212915 + 1.95682i
\(610\) 12955.9 4249.54i 0.859947 0.282064i
\(611\) −6875.94 11909.5i −0.455272 0.788553i
\(612\) −6332.71 + 10431.3i −0.418275 + 0.688988i
\(613\) −2983.90 + 5168.26i −0.196604 + 0.340529i −0.947425 0.319977i \(-0.896325\pi\)
0.750821 + 0.660506i \(0.229658\pi\)
\(614\) −3119.58 + 14880.1i −0.205042 + 0.978034i
\(615\) 549.209 2237.62i 0.0360102 0.146715i
\(616\) 19577.1 + 9346.71i 1.28049 + 0.611347i
\(617\) −13038.2 + 2298.98i −0.850723 + 0.150005i −0.581977 0.813205i \(-0.697721\pi\)
−0.268747 + 0.963211i \(0.586609\pi\)
\(618\) −11613.9 1145.04i −0.755955 0.0745309i
\(619\) −329.796 + 393.035i −0.0214146 + 0.0255209i −0.776645 0.629938i \(-0.783080\pi\)
0.755231 + 0.655459i \(0.227525\pi\)
\(620\) 9655.91 + 621.182i 0.625469 + 0.0402375i
\(621\) −621.884 + 25988.7i −0.0401857 + 1.67937i
\(622\) 176.009 5477.58i 0.0113462 0.353104i
\(623\) −6921.63 5807.94i −0.445119 0.373499i
\(624\) −6346.22 18590.8i −0.407135 1.19267i
\(625\) −1818.95 10315.8i −0.116413 0.660209i
\(626\) 2540.61 6338.99i 0.162209 0.404724i
\(627\) −2574.76 + 2685.84i −0.163997 + 0.171072i
\(628\) −6416.03 + 26357.8i −0.407687 + 1.67483i
\(629\) 4088.29 + 2360.37i 0.259158 + 0.149625i
\(630\) −10241.1 + 8771.20i −0.647643 + 0.554687i
\(631\) 5356.56 3092.61i 0.337942 0.195111i −0.321420 0.946937i \(-0.604160\pi\)
0.659362 + 0.751826i \(0.270827\pi\)
\(632\) 11283.1 2913.53i 0.710154 0.183377i
\(633\) −8241.99 11257.2i −0.517519 0.706848i
\(634\) −1233.09 + 968.938i −0.0772433 + 0.0606963i
\(635\) 7806.47 6550.41i 0.487859 0.409362i
\(636\) −2124.33 + 4085.84i −0.132446 + 0.254739i
\(637\) 297.998 108.462i 0.0185355 0.00674636i
\(638\) −21578.9 40312.9i −1.33906 2.50157i
\(639\) −13072.5 + 16986.9i −0.809294 + 1.05163i
\(640\) −9469.55 + 10196.5i −0.584870 + 0.629769i
\(641\) 17534.2 + 3091.75i 1.08043 + 0.190510i 0.685407 0.728160i \(-0.259624\pi\)
0.395027 + 0.918670i \(0.370735\pi\)
\(642\) 5051.75 + 19719.1i 0.310556 + 1.21223i
\(643\) 4994.86 13723.3i 0.306342 0.841669i −0.687020 0.726639i \(-0.741081\pi\)
0.993362 0.115030i \(-0.0366964\pi\)
\(644\) 27072.4 2997.98i 1.65653 0.183442i
\(645\) −9556.25 + 14280.2i −0.583375 + 0.871756i
\(646\) −1462.78 + 1633.71i −0.0890905 + 0.0995009i
\(647\) 7016.36 0.426340 0.213170 0.977015i \(-0.431621\pi\)
0.213170 + 0.977015i \(0.431621\pi\)
\(648\) −16277.7 + 2670.74i −0.986806 + 0.161908i
\(649\) −28356.9 −1.71511
\(650\) 3640.50 4065.90i 0.219680 0.245350i
\(651\) 6683.67 9987.62i 0.402387 0.601299i
\(652\) 27405.5 3034.86i 1.64614 0.182292i
\(653\) 7805.27 21444.8i 0.467755 1.28515i −0.451778 0.892131i \(-0.649210\pi\)
0.919532 0.393015i \(-0.128568\pi\)
\(654\) −1772.37 6918.31i −0.105971 0.413651i
\(655\) 22402.1 + 3950.09i 1.33637 + 0.235638i
\(656\) −2347.32 1792.18i −0.139707 0.106666i
\(657\) −12233.7 1628.09i −0.726458 0.0966787i
\(658\) 5709.97 + 10667.1i 0.338294 + 0.631987i
\(659\) 1097.14 399.326i 0.0648536 0.0236048i −0.309390 0.950935i \(-0.600125\pi\)
0.374243 + 0.927331i \(0.377903\pi\)
\(660\) 9614.35 18491.8i 0.567028 1.09059i
\(661\) −4145.23 + 3478.26i −0.243919 + 0.204673i −0.756549 0.653937i \(-0.773116\pi\)
0.512629 + 0.858610i \(0.328672\pi\)
\(662\) −12624.8 + 9920.36i −0.741207 + 0.582426i
\(663\) 10244.0 + 13991.6i 0.600064 + 0.819591i
\(664\) −1269.21 4915.20i −0.0741790 0.287269i
\(665\) −2098.41 + 1211.52i −0.122365 + 0.0706477i
\(666\) 1171.54 + 6272.75i 0.0681625 + 0.364961i
\(667\) −49719.0 28705.3i −2.88625 1.66638i
\(668\) −2949.75 + 12118.0i −0.170852 + 0.701883i
\(669\) −19016.0 + 19836.5i −1.09896 + 1.14637i
\(670\) −2340.81 + 5840.48i −0.134975 + 0.336772i
\(671\) 4545.45 + 25778.5i 0.261513 + 1.48311i
\(672\) 5055.35 + 16527.5i 0.290200 + 0.948753i
\(673\) 13193.5 + 11070.7i 0.755682 + 0.634092i 0.936999 0.349332i \(-0.113592\pi\)
−0.181317 + 0.983425i \(0.558036\pi\)
\(674\) 578.995 18018.9i 0.0330891 1.02976i
\(675\) −2860.91 3580.05i −0.163136 0.204143i
\(676\) −10317.4 663.736i −0.587016 0.0377638i
\(677\) 18209.5 21701.2i 1.03375 1.23197i 0.0614768 0.998109i \(-0.480419\pi\)
0.972270 0.233863i \(-0.0751366\pi\)
\(678\) −8026.19 791.315i −0.454637 0.0448234i
\(679\) 15386.9 2713.12i 0.869651 0.153343i
\(680\) 5292.45 11085.3i 0.298465 0.625147i
\(681\) 5144.12 20958.5i 0.289462 1.17934i
\(682\) −3811.45 + 18180.3i −0.214000 + 1.02076i
\(683\) 7084.51 12270.7i 0.396898 0.687447i −0.596444 0.802655i \(-0.703420\pi\)
0.993341 + 0.115208i \(0.0367534\pi\)
\(684\) −2963.49 65.2526i −0.165661 0.00364766i
\(685\) −922.364 1597.58i −0.0514478 0.0891101i
\(686\) −17203.5 + 5642.77i −0.957482 + 0.314056i
\(687\) −2492.74 22909.7i −0.138434 1.27229i
\(688\) 11878.6 + 18546.7i 0.658235 + 1.02774i
\(689\) 4206.35 + 5012.93i 0.232582 + 0.277181i
\(690\) −1993.62 26092.1i −0.109994 1.43958i
\(691\) 7526.42 + 20678.7i 0.414354 + 1.13843i 0.954852 + 0.297083i \(0.0960137\pi\)
−0.540498 + 0.841345i \(0.681764\pi\)
\(692\) 7220.03 3571.36i 0.396625 0.196189i
\(693\) −13877.8 21851.6i −0.760715 1.19780i
\(694\) 6553.27 + 4069.60i 0.358442 + 0.222594i
\(695\) 2065.07 11711.6i 0.112709 0.639202i
\(696\) 12047.2 34379.2i 0.656104 1.87233i
\(697\) 2449.77 + 891.644i 0.133130 + 0.0484554i
\(698\) −19133.9 + 2743.46i −1.03758 + 0.148770i
\(699\) −172.665 + 2606.30i −0.00934306 + 0.141029i
\(700\) −3316.23 + 3472.55i −0.179059 + 0.187500i
\(701\) 16174.8i 0.871486i 0.900071 + 0.435743i \(0.143514\pi\)
−0.900071 + 0.435743i \(0.856486\pi\)
\(702\) −5357.06 + 22819.9i −0.288019 + 1.22690i
\(703\) 1146.70i 0.0615201i
\(704\) −16796.6 20773.7i −0.899215 1.11213i
\(705\) 10428.9 5133.84i 0.557126 0.274258i
\(706\) −1792.41 12501.0i −0.0955500 0.666402i
\(707\) −1325.84 482.568i −0.0705283 0.0256702i
\(708\) −15271.2 16648.7i −0.810630 0.883753i
\(709\) −263.961 + 1497.00i −0.0139820 + 0.0792960i −0.991000 0.133859i \(-0.957263\pi\)
0.977018 + 0.213155i \(0.0683741\pi\)
\(710\) 11382.8 18329.7i 0.601674 0.968874i
\(711\) −13255.6 4199.97i −0.699191 0.221535i
\(712\) 4610.42 + 10126.6i 0.242672 + 0.533021i
\(713\) 7976.84 + 21916.2i 0.418983 + 1.15115i
\(714\) −8612.86 12593.2i −0.451440 0.660070i
\(715\) −19037.2 22687.6i −0.995734 1.18667i
\(716\) −20771.2 + 15268.7i −1.08416 + 0.796950i
\(717\) 7478.32 + 3296.81i 0.389516 + 0.171718i
\(718\) −4161.41 12687.2i −0.216299 0.659445i
\(719\) 17615.4 + 30510.7i 0.913688 + 1.58255i 0.808811 + 0.588069i \(0.200112\pi\)
0.104878 + 0.994485i \(0.466555\pi\)
\(720\) 16034.4 4313.74i 0.829955 0.223283i
\(721\) 7295.31 12635.9i 0.376826 0.652682i
\(722\) 18466.1 + 3871.36i 0.951850 + 0.199553i
\(723\) 12821.0 3727.22i 0.659502 0.191725i
\(724\) 4842.08 + 2123.60i 0.248556 + 0.109009i
\(725\) 9966.92 1757.44i 0.510569 0.0900270i
\(726\) 16621.6 + 11913.3i 0.849702 + 0.609016i
\(727\) −1770.47 + 2109.96i −0.0903205 + 0.107640i −0.809312 0.587379i \(-0.800160\pi\)
0.718991 + 0.695019i \(0.244604\pi\)
\(728\) 24446.0 + 2363.06i 1.24455 + 0.120303i
\(729\) 18152.8 + 7608.95i 0.922258 + 0.386575i
\(730\) 12416.8 + 398.987i 0.629546 + 0.0202290i
\(731\) −14893.5 12497.1i −0.753565 0.632316i
\(732\) −12687.0 + 16551.3i −0.640610 + 0.835730i
\(733\) 6630.40 + 37602.8i 0.334105 + 1.89481i 0.435891 + 0.900000i \(0.356433\pi\)
−0.101785 + 0.994806i \(0.532455\pi\)
\(734\) 12633.1 + 5063.24i 0.635283 + 0.254615i
\(735\) 74.8282 + 257.397i 0.00375521 + 0.0129173i
\(736\) −31675.8 11032.0i −1.58639 0.552507i
\(737\) −10461.1 6039.72i −0.522849 0.301867i
\(738\) 1238.67 + 3299.10i 0.0617835 + 0.164555i
\(739\) −22736.8 + 13127.1i −1.13178 + 0.653435i −0.944383 0.328848i \(-0.893340\pi\)
−0.187400 + 0.982284i \(0.560006\pi\)
\(740\) −1804.91 6164.66i −0.0896618 0.306240i
\(741\) −1699.16 + 3854.28i −0.0842377 + 0.191080i
\(742\) −3557.28 4527.07i −0.176000 0.223981i
\(743\) 13911.0 11672.7i 0.686871 0.576353i −0.231134 0.972922i \(-0.574244\pi\)
0.918005 + 0.396569i \(0.129799\pi\)
\(744\) −12726.5 + 7552.97i −0.627119 + 0.372185i
\(745\) −9669.30 + 3519.34i −0.475511 + 0.173072i
\(746\) −22297.7 + 11935.7i −1.09434 + 0.585785i
\(747\) −1829.62 + 5774.49i −0.0896146 + 0.282835i
\(748\) 19623.7 + 13077.9i 0.959244 + 0.639274i
\(749\) −25063.2 4419.32i −1.22268 0.215592i
\(750\) 15570.3 + 15916.9i 0.758062 + 0.774938i
\(751\) 2978.78 8184.14i 0.144737 0.397661i −0.846048 0.533107i \(-0.821024\pi\)
0.990785 + 0.135446i \(0.0432466\pi\)
\(752\) −685.824 14883.7i −0.0332572 0.721744i
\(753\) −17518.8 35587.7i −0.847837 1.72229i
\(754\) −38566.1 34531.0i −1.86272 1.66783i