Properties

Label 108.4.l.a.59.14
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 59.14
Character \(\chi\) \(=\) 108.59
Dual form 108.4.l.a.11.14

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

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.88673 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 0.995478 + 0.0949876i \(0.0302812\pi\)
−0.701524 + 0.712646i \(0.747497\pi\)
\(6\) 3.64735 14.2372i 0.248171 0.968716i
\(7\) −18.0956 + 3.19074i −0.977070 + 0.172284i −0.639311 0.768949i \(-0.720780\pi\)
−0.337760 + 0.941232i \(0.609669\pi\)
\(8\) 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 −0.432882 0.901451i \(-0.642503\pi\)
−0.911048 + 0.412300i \(0.864725\pi\)
\(12\) −36.8820 + 19.1759i −0.887243 + 0.461302i
\(13\) −45.2507 37.9699i −0.965407 0.810073i 0.0164169 0.999865i \(-0.494774\pi\)
−0.981824 + 0.189792i \(0.939219\pi\)
\(14\) 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 0.806613 0.591080i \(-0.201298\pi\)
−0.108584 + 0.994087i \(0.534632\pi\)
\(18\) 72.0223 25.3927i 0.943101 0.332506i
\(19\) 11.8846 6.86160i 0.143501 0.0828505i −0.426530 0.904473i \(-0.640264\pi\)
0.570032 + 0.821623i \(0.306931\pi\)
\(20\) −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 0.388605 + 0.921404i \(0.372957\pi\)
−0.680308 + 0.732926i \(0.738154\pi\)
\(24\) 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 0.734467 + 0.678645i \(0.237432\pi\)
0.540796 + 0.841154i \(0.318123\pi\)
\(30\) 140.543 13.8564i 0.855319 0.0843273i
\(31\) −123.956 21.8568i −0.718167 0.126632i −0.197390 0.980325i \(-0.563247\pi\)
−0.520777 + 0.853693i \(0.674358\pi\)
\(32\) 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 −0.758155 0.652075i \(-0.773899\pi\)
0.943791 + 0.330544i \(0.107232\pi\)
\(38\) −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 −0.706588 0.707625i \(-0.749767\pi\)
0.819572 + 0.572976i \(0.194211\pi\)
\(42\) −20.5739 + 269.268i −0.0755864 + 0.989260i
\(43\) −117.701 + 323.380i −0.417422 + 1.14686i 0.535736 + 0.844386i \(0.320034\pi\)
−0.953158 + 0.302473i \(0.902188\pi\)
\(44\) 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 −0.981032 0.193846i \(-0.937904\pi\)
0.855570 0.517688i \(1.82679\pi\)
\(48\) −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 \(0.0458538\pi\)
−0.989642 + 0.143556i \(0.954146\pi\)
\(54\) 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 0.289736 0.957107i \(-0.406433\pi\)
0.837167 + 0.546948i \(0.184210\pi\)
\(60\) −294.365 270.009i −0.633372 0.580966i
\(61\) 87.1157 + 494.058i 0.182853 + 1.03701i 0.928683 + 0.370874i \(0.120942\pi\)
−0.745830 + 0.666136i \(0.767947\pi\)
\(62\) 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 −0.613114 0.789995i \(-0.710083\pi\)
0.884459 + 0.466618i \(0.154528\pi\)
\(68\) −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 0.316201 + 0.948692i \(0.397592\pi\)
−0.979692 + 0.200508i \(0.935741\pi\)
\(72\) 138.489 + 595.037i 0.226682 + 0.973969i
\(73\) 228.548 + 395.856i 0.366431 + 0.634678i 0.989005 0.147884i \(-0.0472461\pi\)
−0.622573 + 0.782561i \(0.713913\pi\)
\(74\) −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 0.948400 0.317078i \(-0.102702\pi\)
−0.476949 + 0.878931i \(0.658257\pi\)
\(80\) −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 −0.749315 0.662214i \(-0.769617\pi\)
0.522036 + 0.852924i \(0.325173\pi\)
\(84\) 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 −0.224482 0.974478i \(-0.572069\pi\)
0.731682 + 0.681647i \(0.238736\pi\)
\(90\) 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 −0.111907 0.993719i \(-0.535696\pi\)
−0.724476 + 0.689300i \(0.757918\pi\)
\(98\) 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 −0.136274 0.990671i \(-0.543513\pi\)
0.210774 + 0.977535i \(0.432402\pi\)
\(102\) 580.623 593.548i 0.563630 0.576177i
\(103\) −271.584 746.171i −0.259806 0.713810i −0.999179 0.0405143i \(-0.987100\pi\)
0.739373 0.673296i \(1.76488\pi\)
\(104\) −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 0.836725 0.547623i \(-0.184467\pi\)
−0.992974 + 0.118333i \(0.962245\pi\)
\(114\) −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 −0.143560 0.989642i \(-0.545855\pi\)
0.785275 + 0.619147i \(0.212522\pi\)
\(128\) −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 −0.467425 0.884033i \(-0.654818\pi\)
0.741593 0.670850i \(-0.234071\pi\)
\(132\) 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 0.803148 0.595779i \(-0.203157\pi\)
−0.726193 + 0.687490i \(0.758712\pi\)
\(138\) 2480.63 + 1123.66i 1.53018 + 0.693134i
\(139\) 1218.80 + 214.907i 0.743721 + 0.131138i 0.532653 0.846334i \(-0.321195\pi\)
0.211067 + 0.977472i \(0.432306\pi\)
\(140\) 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 −0.921326 0.388791i \(-0.872893\pi\)
0.542871 + 0.839816i \(0.317337\pi\)
\(150\) −207.665 432.834i −0.113038 0.235605i
\(151\) −934.339 + 2567.07i −0.503546 + 1.38348i 0.384244 + 0.923232i \(0.374462\pi\)
−0.887790 + 0.460249i \(0.847760\pi\)
\(152\) 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 −0.983340 0.181774i \(-0.941816\pi\)
−0.636440 + 0.771326i \(0.719594\pi\)
\(158\) 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 \(-0.689422\pi\)
0.560579 0.828101i \(-0.310578\pi\)
\(164\) 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 −0.658338 0.752722i \(-0.728740\pi\)
−0.0204757 + 0.999790i \(0.506518\pi\)
\(168\) −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 −0.840734 0.541449i \(-0.817876\pi\)
0.992076 + 0.125640i \(0.0400983\pi\)
\(174\) 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 0.304333 + 0.952566i \(0.401566\pi\)
−0.977113 + 0.212722i \(0.931767\pi\)
\(180\) 315.335 2051.48i 0.130576 0.849489i
\(181\) −330.455 572.366i −0.135705 0.235048i 0.790162 0.612898i \(-0.209997\pi\)
−0.925866 + 0.377851i \(0.876663\pi\)
\(182\) −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 −0.352999 0.935624i \(-0.614838\pi\)
0.860112 + 0.510105i \(0.170394\pi\)
\(192\) 2571.78 681.071i 0.966677 0.256000i
\(193\) 753.723 4274.57i 0.281110 1.59425i −0.437750 0.899097i \(-0.644225\pi\)
0.718860 0.695155i \(-0.244664\pi\)
\(194\) 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 −0.980022 0.198889i \(-0.936267\pi\)
−0.317768 + 0.948169i \(0.602933\pi\)
\(198\) −3984.43 40.2695i −1.43011 0.0144537i
\(199\) 1084.99 + 626.421i 0.386498 + 0.223145i 0.680642 0.732617i \(-0.261701\pi\)
−0.294144 + 0.955761i \(0.595034\pi\)
\(200\) 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 0.994562 + 0.104145i \(0.0332105\pi\)
−0.694936 + 0.719072i \(0.744567\pi\)
\(212\) −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 −0.887516 0.460777i \(-0.847571\pi\)
−0.676398 + 0.736537i \(0.736460\pi\)
\(224\) −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 0.842315 0.538986i \(-0.181192\pi\)
0.298797 + 0.954317i \(0.403415\pi\)
\(228\) −306.752 + 480.969i −0.0891015 + 0.139706i
\(229\) 3397.41 + 2850.77i 0.980381 + 0.822637i 0.984147 0.177356i \(-0.0567543\pi\)
−0.00376603 + 0.999993i \(0.501199\pi\)
\(230\) 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 0.437549 0.899195i \(-0.355847\pi\)
−0.559951 + 0.828526i \(0.689180\pi\)
\(234\) −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 −0.925282 0.379279i \(-0.876172\pi\)
0.999202 0.0399408i \(-0.0127169\pi\)
\(240\) 2406.14 2102.86i 0.647149 0.565579i
\(241\) 1968.40 1651.68i 0.526123 0.441470i −0.340637 0.940195i \(-0.610643\pi\)
0.866760 + 0.498725i \(0.166198\pi\)
\(242\) −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 0.722897 + 0.690955i \(0.242810\pi\)
0.236936 + 0.971525i \(0.423857\pi\)
\(252\) 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 −0.868516 0.495662i \(-0.834926\pi\)
0.638948 + 0.769250i \(0.279370\pi\)
\(258\) 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 0.947909 0.318541i \(-0.103193\pi\)
−0.999691 + 0.0248732i \(0.992082\pi\)
\(264\) −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 \(0.159286\pi\)
−0.877385 + 0.479787i \(0.840714\pi\)
\(270\) −1101.38 + 3650.54i −0.248252 + 0.822832i
\(271\) 6622.70i 1.48450i 0.670122 + 0.742251i \(0.266242\pi\)
−0.670122 + 0.742251i \(0.733758\pi\)
\(272\) −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 −0.934822 0.355117i \(-0.884441\pi\)
0.756988 0.653429i \(-0.226670\pi\)
\(278\) −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 0.476195 + 0.879340i \(0.342016\pi\)
−0.930015 + 0.367521i \(0.880207\pi\)
\(282\) −3411.56 260.667i −0.720410 0.0550444i
\(283\) 5349.42 6375.19i 1.12364 1.33910i 0.189628 0.981856i \(-0.439272\pi\)
0.934011 0.357245i \(-0.116284\pi\)
\(284\) −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 0.274086 0.961705i \(-0.411625\pi\)
−0.0713656 + 0.997450i \(0.522736\pi\)
\(294\) 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 0.865822 0.500352i \(-0.166796\pi\)
−0.000406119 1.00000i \(0.500129\pi\)
\(308\) −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 0.497363 0.867542i \(-0.334302\pi\)
−0.767996 + 0.640454i \(0.778746\pi\)
\(312\) −3400.11 6056.06i −0.616966 1.09890i
\(313\) −2268.86 825.799i −0.409724 0.149128i 0.128931 0.991654i \(-0.458845\pi\)
−0.538656 + 0.842526i \(0.681068\pi\)
\(314\) 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 −0.125066 0.992148i \(-0.539914\pi\)
0.221811 + 0.975090i \(0.428803\pi\)
\(318\) 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 0.311019 0.950404i \(-0.399330\pi\)
0.617319 + 0.786713i \(0.288219\pi\)
\(332\) −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 0.156308 0.987708i \(-0.450041\pi\)
−0.945560 + 0.325447i \(0.894485\pi\)
\(338\) 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 0.926009 + 0.377502i \(0.123217\pi\)
−0.999277 + 0.0380221i \(0.987894\pi\)
\(348\) −11896.7 4934.79i −1.83255 0.760151i
\(349\) 5235.18 4392.84i 0.802959 0.673763i −0.145957 0.989291i \(-0.546626\pi\)
0.948916 + 0.315528i \(0.102182\pi\)
\(350\) 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 0.504974 0.863135i \(-0.331502\pi\)
−0.937709 + 0.347420i \(0.887058\pi\)
\(354\) −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 0.638710 0.769447i \(-0.279468\pi\)
−0.985716 + 0.168416i \(0.946135\pi\)
\(360\) −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 0.765919 + 0.642937i \(0.222284\pi\)
−1.00000 0.000195436i \(0.999938\pi\)
\(368\) 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 0.315020 0.949085i \(-0.397989\pi\)
0.851380 + 0.524550i \(0.175766\pi\)
\(374\) −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 \(0.135788\pi\)
−0.910381 + 0.413770i \(0.864212\pi\)
\(380\) −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 −0.734906 0.678170i \(-0.762774\pi\)
−0.127051 + 0.991896i \(0.540551\pi\)
\(384\) −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 −0.971130 0.238551i \(-0.923328\pi\)
0.897266 + 0.441489i \(0.145550\pi\)
\(390\) −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 0.952234 0.305369i \(-0.0987797\pi\)
−0.740574 + 0.671975i \(0.765446\pi\)
\(398\) −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 −0.764430 0.644707i \(-0.776979\pi\)
−0.938832 + 0.344376i \(0.888091\pi\)
\(402\) −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 0.748228 + 0.663441i \(0.230905\pi\)
−0.930015 + 0.367522i \(0.880206\pi\)
\(410\) −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 0.647250 0.762278i \(-0.275919\pi\)
−0.638303 + 0.769785i \(0.720363\pi\)
\(420\) 6188.23 + 3946.72i 0.718940 + 0.458525i
\(421\) −8088.51 2943.98i −0.936365 0.340809i −0.171636 0.985160i \(-0.554905\pi\)
−0.764730 + 0.644351i \(0.777127\pi\)
\(422\) 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 −0.112211 0.993684i \(-0.535793\pi\)
0.234416 + 0.972136i \(0.424682\pi\)
\(440\) −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 0.571643 0.820502i \(-0.306306\pi\)
−0.0895045 + 0.995986i \(0.528528\pi\)
\(444\) −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 0.943336 0.331839i \(-0.107669\pi\)
0.184287 + 0.982873i \(0.441003\pi\)
\(450\) 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 −0.382825 0.923821i \(-0.625049\pi\)
0.843309 + 0.537429i \(0.180604\pi\)
\(458\) −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 0.574294 0.818649i \(-0.305277\pi\)
−0.905937 + 0.423412i \(0.860832\pi\)
\(462\) 5814.00 12835.2i 0.585480 1.29252i
\(463\) −12453.4 2195.87i −1.25002 0.220412i −0.490815 0.871264i \(-0.663301\pi\)
−0.759205 + 0.650851i \(0.774412\pi\)
\(464\) −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 −0.820087 0.572239i \(-0.806075\pi\)
−0.0855298 0.996336i \(1.47274\pi\)
\(468\) 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 0.987173 + 0.159657i \(0.0510387\pi\)
−0.873033 + 0.487661i \(0.837850\pi\)
\(480\) −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 \(0.0672766\pi\)
−0.977747 + 0.209786i \(0.932723\pi\)
\(488\) 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 −0.584444 0.811434i \(-0.698687\pi\)
0.0738693 + 0.997268i \(0.476465\pi\)
\(492\) −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 −0.519745 0.854322i \(-0.673973\pi\)
0.931595 + 0.363497i \(0.118417\pi\)
\(500\) −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 −0.569773 0.821802i \(-0.692969\pi\)
0.996588 + 0.0825370i \(0.0263023\pi\)
\(504\) −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 0.786329 0.617808i \(-0.211979\pi\)
0.527605 + 0.849490i \(0.323090\pi\)
\(510\) 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 −0.455708 0.890129i \(-0.650614\pi\)
0.543020 + 0.839720i \(0.317281\pi\)
\(522\) 20370.6 + 12037.1i 1.70804 + 1.00929i
\(523\) 3988.69 + 2302.87i 0.333486 + 0.192538i 0.657388 0.753552i \(-0.271661\pi\)
−0.323902 + 0.946091i \(0.604995\pi\)
\(524\) 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 −0.672876 0.739755i \(-0.734941\pi\)
−0.379286 + 0.925280i \(0.623830\pi\)
\(548\) −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 0.640600 0.767874i \(-0.278686\pi\)
−0.344698 + 0.938713i \(0.612019\pi\)
\(558\) −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 −0.973333 0.229397i \(-0.926325\pi\)
0.993092 + 0.117337i \(0.0374356\pi\)
\(564\) 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 0.993932 0.109996i \(-0.0350838\pi\)
−0.280919 + 0.959731i \(0.590639\pi\)
\(570\) 1575.23 1129.03i 0.115753 0.0829646i
\(571\) 6147.94 + 1084.05i 0.450584 + 0.0794501i 0.394335 0.918967i \(-0.370975\pi\)
0.0562486 + 0.998417i \(0.482086\pi\)
\(572\) −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 −0.935608 0.353041i \(-0.885148\pi\)
0.773547 + 0.633739i \(0.218481\pi\)
\(578\) −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 0.971800 0.235807i \(-0.0757733\pi\)
−0.993844 + 0.110789i \(0.964662\pi\)
\(588\) 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 \(0.161812\pi\)
−0.873551 + 0.486733i \(0.838188\pi\)
\(594\) −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 −0.146719 0.989178i \(-0.546871\pi\)
0.523438 + 0.852064i \(0.324649\pi\)
\(600\) 3624.49 1270.10i 0.246615 0.0864193i
\(601\) 4772.36 + 27065.4i 0.323908 + 1.83697i 0.517243 + 0.855838i \(0.326958\pi\)
−0.193336 + 0.981133i \(0.561931\pi\)
\(602\) −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 −0.508067 0.861318i \(-0.669640\pi\)
0.936457 + 0.350782i \(0.114084\pi\)
\(608\) 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 0.750821 0.660506i \(-0.229658\pi\)
−0.947425 + 0.319977i \(0.896325\pi\)
\(614\) −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 −0.268747 0.963211i \(-0.586609\pi\)
−0.581977 + 0.813205i \(0.697721\pi\)
\(618\) −11613.9 + 1145.04i −0.755955 + 0.0745309i
\(619\) −329.796 393.035i −0.0214146 0.0255209i 0.755231 0.655459i \(-0.227525\pi\)
−0.776645 + 0.629938i \(0.783080\pi\)
\(620\) 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 0.659362 0.751826i \(-0.270827\pi\)
−0.321420 + 0.946937i \(0.604160\pi\)
\(632\) 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 0.395027 0.918670i \(-0.370735\pi\)
0.685407 + 0.728160i \(0.259624\pi\)
\(642\) 5051.75 19719.1i 0.310556 1.21223i
\(643\) 4994.86 + 13723.3i 0.306342 + 0.841669i 0.993362 + 0.115030i \(0.0366964\pi\)
−0.687020 + 0.726639i \(0.741081\pi\)
\(644\) 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 0.919532 + 0.393015i \(0.128568\pi\)
−0.451778 + 0.892131i \(0.649210\pi\)
\(654\) −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 0.374243 0.927331i \(-0.377903\pi\)
−0.309390 + 0.950935i \(0.600125\pi\)
\(660\) 9614.35 + 18491.8i 0.567028 + 1.09059i
\(661\) −4145.23 3478.26i −0.243919 0.204673i 0.512629 0.858610i \(-0.328672\pi\)
−0.756549 + 0.653937i \(0.773116\pi\)
\(662\) −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 −0.181317 0.983425i \(-0.558036\pi\)
0.936999 + 0.349332i \(0.113592\pi\)
\(674\) 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 0.972270 + 0.233863i \(0.0751366\pi\)
0.0614768 + 0.998109i \(0.480419\pi\)
\(678\) −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 0.993341 0.115208i \(-0.0367534\pi\)
−0.596444 + 0.802655i \(0.703420\pi\)
\(684\) −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 −0.540498 0.841345i \(-0.681764\pi\)
0.954852 0.297083i \(-0.0960137\pi\)
\(692\) 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 \(-0.856486\pi\)
0.900071 0.435743i \(-0.143514\pi\)
\(702\) −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 0.977018 0.213155i \(-0.0683741\pi\)
−0.991000 + 0.133859i \(0.957263\pi\)
\(710\) 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 0.104878 0.994485i \(-0.466555\pi\)
0.808811 0.588069i \(-0.200112\pi\)
\(720\) 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 0.718991 0.695019i \(-0.244604\pi\)
−0.809312 + 0.587379i \(0.800160\pi\)
\(728\) 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 −0.101785 0.994806i \(-0.532455\pi\)
0.435891 0.900000i \(-0.356433\pi\)
\(734\) 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 −0.187400 0.982284i \(-0.560006\pi\)
−0.944383 + 0.328848i \(0.893340\pi\)
\(740\) −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 0.918005 0.396569i \(-0.129799\pi\)
−0.231134 + 0.972922i \(0.574244\pi\)
\(744\) −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 0.990785 0.135446i \(-0.0432466\pi\)
−0.846048 + 0.533107i \(0.821024\pi\)
\(752\) −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
\(755\) −26250.4 −1.26537
\(756\)