Properties

Label 177.4.f.a.2.10
Level $177$
Weight $4$
Character 177.2
Analytic conductor $10.443$
Analytic rank $0$
Dimension $1624$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(1624\)
Relative dimension: \(58\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 2.10
Character \(\chi\) \(=\) 177.2
Dual form 177.4.f.a.89.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.214445 + 3.95521i) q^{2} +(4.30093 + 2.91582i) q^{3} +(-7.64463 - 0.831403i) q^{4} +(-4.87721 + 14.4750i) q^{5} +(-12.4550 + 16.3858i) q^{6} +(8.97536 + 13.2377i) q^{7} +(-0.198845 + 1.21290i) q^{8} +(9.99602 + 25.0815i) q^{9} +O(q^{10})\) \(q+(-0.214445 + 3.95521i) q^{2} +(4.30093 + 2.91582i) q^{3} +(-7.64463 - 0.831403i) q^{4} +(-4.87721 + 14.4750i) q^{5} +(-12.4550 + 16.3858i) q^{6} +(8.97536 + 13.2377i) q^{7} +(-0.198845 + 1.21290i) q^{8} +(9.99602 + 25.0815i) q^{9} +(-56.2060 - 22.3945i) q^{10} +(49.8206 - 10.9663i) q^{11} +(-30.4548 - 25.8661i) q^{12} +(52.0156 - 44.1824i) q^{13} +(-54.2825 + 32.6607i) q^{14} +(-63.1831 + 48.0351i) q^{15} +(-64.8340 - 14.2710i) q^{16} +(-66.4626 - 45.0628i) q^{17} +(-101.346 + 34.1578i) q^{18} +(22.2276 - 41.9257i) q^{19} +(49.3190 - 106.601i) q^{20} +(0.00379725 + 83.1048i) q^{21} +(32.6904 + 199.403i) q^{22} +(80.4565 - 76.2125i) q^{23} +(-4.39182 + 4.63681i) q^{24} +(-86.2278 - 65.5487i) q^{25} +(163.596 + 215.207i) q^{26} +(-30.1407 + 137.020i) q^{27} +(-57.6074 - 108.659i) q^{28} +(-265.523 + 14.3962i) q^{29} +(-176.440 - 260.204i) q^{30} +(-43.3830 + 23.0002i) q^{31} +(67.7179 - 243.898i) q^{32} +(246.251 + 98.1022i) q^{33} +(192.485 - 253.210i) q^{34} +(-235.390 + 65.3558i) q^{35} +(-55.5630 - 200.049i) q^{36} +(270.667 - 44.3736i) q^{37} +(161.059 + 96.9057i) q^{38} +(352.543 - 38.3577i) q^{39} +(-16.5870 - 8.79387i) q^{40} +(77.4960 - 81.8116i) q^{41} +(-328.698 - 17.8064i) q^{42} +(20.5742 - 93.4697i) q^{43} +(-389.977 + 42.4125i) q^{44} +(-411.808 + 22.3653i) q^{45} +(284.183 + 334.566i) q^{46} +(246.380 - 83.0151i) q^{47} +(-237.235 - 250.423i) q^{48} +(32.2788 - 81.0136i) q^{49} +(277.750 - 326.993i) q^{50} +(-154.456 - 387.605i) q^{51} +(-434.373 + 294.512i) q^{52} +(-42.6787 + 17.0047i) q^{53} +(-535.481 - 148.596i) q^{54} +(-84.2471 + 774.639i) q^{55} +(-17.8407 + 8.25399i) q^{56} +(217.847 - 115.508i) q^{57} -1053.29i q^{58} +(104.414 + 440.995i) q^{59} +(522.948 - 314.680i) q^{60} +(-488.285 - 26.4740i) q^{61} +(-81.6674 - 176.521i) q^{62} +(-242.302 + 357.439i) q^{63} +(446.858 + 150.564i) q^{64} +(385.851 + 968.414i) q^{65} +(-440.822 + 952.936i) q^{66} +(741.778 + 121.608i) q^{67} +(470.616 + 399.745i) q^{68} +(568.260 - 93.1881i) q^{69} +(-208.018 - 945.034i) q^{70} +(270.238 + 802.036i) q^{71} +(-32.4090 + 7.13687i) q^{72} +(-166.209 - 276.241i) q^{73} +(117.464 + 1080.06i) q^{74} +(-179.732 - 533.345i) q^{75} +(-204.779 + 302.026i) q^{76} +(592.326 + 561.081i) q^{77} +(76.1115 + 1402.61i) q^{78} +(-358.438 - 165.831i) q^{79} +(522.783 - 868.872i) q^{80} +(-529.159 + 501.430i) q^{81} +(306.964 + 324.057i) q^{82} +(190.096 + 684.662i) q^{83} +(69.0645 - 635.308i) q^{84} +(976.437 - 742.268i) q^{85} +(365.281 + 101.420i) q^{86} +(-1183.97 - 712.300i) q^{87} +(3.39451 + 62.6081i) q^{88} +(-82.1339 - 1514.87i) q^{89} +(-0.149284 - 1633.58i) q^{90} +(1051.73 + 292.011i) q^{91} +(-678.423 + 515.724i) q^{92} +(-253.652 - 27.5746i) q^{93} +(275.507 + 992.288i) q^{94} +(498.467 + 526.226i) q^{95} +(1002.41 - 851.534i) q^{96} +(-469.416 + 780.175i) q^{97} +(313.504 + 145.042i) q^{98} +(773.059 + 1139.95i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} + O(q^{10}) \) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} - 58q^{10} - 57q^{12} - 58q^{13} - 11q^{15} - 926q^{16} - 29q^{18} + 126q^{19} + 159q^{21} + 2q^{22} - 29q^{24} + 656q^{25} - 99q^{27} - 54q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 859q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} + 1703q^{45} + 602q^{46} + 9507q^{48} - 1192q^{49} + 1511q^{51} - 58q^{52} - 7743q^{54} - 58q^{55} - 7441q^{57} - 18722q^{60} - 58q^{61} - 3251q^{63} - 4634q^{64} - 1751q^{66} - 58q^{67} + 6003q^{69} - 58q^{70} + 21547q^{72} - 58q^{73} + 3869q^{75} + 5622q^{76} - 3253q^{78} + 1446q^{79} + 247q^{81} - 58q^{82} + 3303q^{84} + 790q^{85} - 2199q^{87} - 5818q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 946q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{58}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.214445 + 3.95521i −0.0758179 + 1.39838i 0.674975 + 0.737841i \(0.264155\pi\)
−0.750792 + 0.660538i \(0.770328\pi\)
\(3\) 4.30093 + 2.91582i 0.827715 + 0.561149i
\(4\) −7.64463 0.831403i −0.955578 0.103925i
\(5\) −4.87721 + 14.4750i −0.436231 + 1.29469i 0.473978 + 0.880537i \(0.342818\pi\)
−0.910209 + 0.414150i \(0.864079\pi\)
\(6\) −12.4550 + 16.3858i −0.847455 + 1.11491i
\(7\) 8.97536 + 13.2377i 0.484624 + 0.714766i 0.988868 0.148795i \(-0.0475393\pi\)
−0.504244 + 0.863561i \(0.668229\pi\)
\(8\) −0.198845 + 1.21290i −0.00878780 + 0.0536032i
\(9\) 9.99602 + 25.0815i 0.370223 + 0.928943i
\(10\) −56.2060 22.3945i −1.77739 0.708176i
\(11\) 49.8206 10.9663i 1.36559 0.300589i 0.529093 0.848564i \(-0.322532\pi\)
0.836495 + 0.547975i \(0.184601\pi\)
\(12\) −30.4548 25.8661i −0.732628 0.622243i
\(13\) 52.0156 44.1824i 1.10973 0.942615i 0.111044 0.993816i \(-0.464581\pi\)
0.998688 + 0.0512004i \(0.0163047\pi\)
\(14\) −54.2825 + 32.6607i −1.03626 + 0.623496i
\(15\) −63.1831 + 48.0351i −1.08759 + 0.826840i
\(16\) −64.8340 14.2710i −1.01303 0.222985i
\(17\) −66.4626 45.0628i −0.948209 0.642901i −0.0141040 0.999901i \(-0.504490\pi\)
−0.934105 + 0.356999i \(0.883800\pi\)
\(18\) −101.346 + 34.1578i −1.32708 + 0.447282i
\(19\) 22.2276 41.9257i 0.268387 0.506232i −0.712285 0.701891i \(-0.752339\pi\)
0.980672 + 0.195658i \(0.0626843\pi\)
\(20\) 49.3190 106.601i 0.551403 1.19184i
\(21\) 0.00379725 + 83.1048i 3.94584e−5 + 0.863569i
\(22\) 32.6904 + 199.403i 0.316801 + 1.93240i
\(23\) 80.4565 76.2125i 0.729406 0.690930i −0.229926 0.973208i \(-0.573849\pi\)
0.959333 + 0.282278i \(0.0910899\pi\)
\(24\) −4.39182 + 4.63681i −0.0373532 + 0.0394369i
\(25\) −86.2278 65.5487i −0.689823 0.524390i
\(26\) 163.596 + 215.207i 1.23400 + 1.62329i
\(27\) −30.1407 + 137.020i −0.214837 + 0.976650i
\(28\) −57.6074 108.659i −0.388813 0.733380i
\(29\) −265.523 + 14.3962i −1.70022 + 0.0921833i −0.878511 0.477722i \(-0.841463\pi\)
−0.821710 + 0.569905i \(0.806980\pi\)
\(30\) −176.440 260.204i −1.07378 1.58355i
\(31\) −43.3830 + 23.0002i −0.251349 + 0.133257i −0.589320 0.807900i \(-0.700604\pi\)
0.337971 + 0.941157i \(0.390259\pi\)
\(32\) 67.7179 243.898i 0.374092 1.34736i
\(33\) 246.251 + 98.1022i 1.29899 + 0.517497i
\(34\) 192.485 253.210i 0.970911 1.27721i
\(35\) −235.390 + 65.3558i −1.13681 + 0.315633i
\(36\) −55.5630 200.049i −0.257236 0.926153i
\(37\) 270.667 44.3736i 1.20263 0.197162i 0.473038 0.881042i \(-0.343157\pi\)
0.729594 + 0.683880i \(0.239709\pi\)
\(38\) 161.059 + 96.9057i 0.687556 + 0.413689i
\(39\) 352.543 38.3577i 1.44749 0.157491i
\(40\) −16.5870 8.79387i −0.0655659 0.0347608i
\(41\) 77.4960 81.8116i 0.295191 0.311630i −0.561482 0.827489i \(-0.689769\pi\)
0.856673 + 0.515859i \(0.172527\pi\)
\(42\) −328.698 17.8064i −1.20760 0.0654188i
\(43\) 20.5742 93.4697i 0.0729661 0.331488i −0.925970 0.377596i \(-0.876751\pi\)
0.998936 + 0.0461079i \(0.0146818\pi\)
\(44\) −389.977 + 42.4125i −1.33616 + 0.145317i
\(45\) −411.808 + 22.3653i −1.36419 + 0.0740894i
\(46\) 284.183 + 334.566i 0.910881 + 1.07237i
\(47\) 246.380 83.0151i 0.764643 0.257638i 0.0901587 0.995927i \(-0.471263\pi\)
0.674484 + 0.738289i \(0.264366\pi\)
\(48\) −237.235 250.423i −0.713373 0.753030i
\(49\) 32.2788 81.0136i 0.0941072 0.236191i
\(50\) 277.750 326.993i 0.785596 0.924876i
\(51\) −154.456 387.605i −0.424083 1.06423i
\(52\) −434.373 + 294.512i −1.15840 + 0.785413i
\(53\) −42.6787 + 17.0047i −0.110611 + 0.0440713i −0.424787 0.905293i \(-0.639651\pi\)
0.314176 + 0.949365i \(0.398272\pi\)
\(54\) −535.481 148.596i −1.34944 0.374471i
\(55\) −84.2471 + 774.639i −0.206543 + 1.89913i
\(56\) −17.8407 + 8.25399i −0.0425726 + 0.0196962i
\(57\) 217.847 115.508i 0.506220 0.268411i
\(58\) 1053.29i 2.38454i
\(59\) 104.414 + 440.995i 0.230400 + 0.973096i
\(60\) 522.948 314.680i 1.12520 0.677083i
\(61\) −488.285 26.4740i −1.02489 0.0555681i −0.465981 0.884795i \(-0.654298\pi\)
−0.558912 + 0.829227i \(0.688781\pi\)
\(62\) −81.6674 176.521i −0.167287 0.361584i
\(63\) −242.302 + 357.439i −0.484558 + 0.714811i
\(64\) 446.858 + 150.564i 0.872769 + 0.294070i
\(65\) 385.851 + 968.414i 0.736292 + 1.84795i
\(66\) −440.822 + 952.936i −0.822144 + 1.77725i
\(67\) 741.778 + 121.608i 1.35258 + 0.221744i 0.794105 0.607780i \(-0.207940\pi\)
0.558472 + 0.829524i \(0.311388\pi\)
\(68\) 470.616 + 399.745i 0.839274 + 0.712886i
\(69\) 568.260 93.1881i 0.991455 0.162587i
\(70\) −208.018 945.034i −0.355184 1.61362i
\(71\) 270.238 + 802.036i 0.451708 + 1.34062i 0.895727 + 0.444605i \(0.146656\pi\)
−0.444018 + 0.896018i \(0.646447\pi\)
\(72\) −32.4090 + 7.13687i −0.0530478 + 0.0116818i
\(73\) −166.209 276.241i −0.266483 0.442898i 0.694505 0.719488i \(-0.255623\pi\)
−0.960988 + 0.276590i \(0.910796\pi\)
\(74\) 117.464 + 1080.06i 0.184526 + 1.69669i
\(75\) −179.732 533.345i −0.276716 0.821138i
\(76\) −204.779 + 302.026i −0.309076 + 0.455852i
\(77\) 592.326 + 561.081i 0.876647 + 0.830404i
\(78\) 76.1115 + 1402.61i 0.110486 + 2.03608i
\(79\) −358.438 165.831i −0.510474 0.236170i 0.147706 0.989031i \(-0.452811\pi\)
−0.658179 + 0.752861i \(0.728673\pi\)
\(80\) 522.783 868.872i 0.730611 1.21429i
\(81\) −529.159 + 501.430i −0.725870 + 0.687832i
\(82\) 306.964 + 324.057i 0.413396 + 0.436417i
\(83\) 190.096 + 684.662i 0.251394 + 0.905439i 0.976269 + 0.216559i \(0.0694834\pi\)
−0.724876 + 0.688880i \(0.758103\pi\)
\(84\) 69.0645 635.308i 0.0897090 0.825212i
\(85\) 976.437 742.268i 1.24599 0.947180i
\(86\) 365.281 + 101.420i 0.458014 + 0.127167i
\(87\) −1183.97 712.300i −1.45903 0.877776i
\(88\) 3.39451 + 62.6081i 0.00411200 + 0.0758414i
\(89\) −82.1339 1514.87i −0.0978222 1.80423i −0.477002 0.878902i \(-0.658277\pi\)
0.379180 0.925323i \(-0.376206\pi\)
\(90\) −0.149284 1633.58i −0.000174844 1.91328i
\(91\) 1051.73 + 292.011i 1.21155 + 0.336386i
\(92\) −678.423 + 515.724i −0.768810 + 0.584434i
\(93\) −253.652 27.5746i −0.282822 0.0307457i
\(94\) 275.507 + 992.288i 0.302302 + 1.08879i
\(95\) 498.467 + 526.226i 0.538333 + 0.568312i
\(96\) 1002.41 851.534i 1.06571 0.905306i
\(97\) −469.416 + 780.175i −0.491360 + 0.816647i −0.998990 0.0449279i \(-0.985694\pi\)
0.507630 + 0.861575i \(0.330522\pi\)
\(98\) 313.504 + 145.042i 0.323150 + 0.149505i
\(99\) 773.059 + 1139.95i 0.784802 + 1.15727i
\(100\) 604.682 + 572.785i 0.604682 + 0.572785i
\(101\) −373.257 + 550.513i −0.367728 + 0.542358i −0.965868 0.259033i \(-0.916596\pi\)
0.598141 + 0.801391i \(0.295906\pi\)
\(102\) 1566.18 527.788i 1.52034 0.512341i
\(103\) −118.113 1086.03i −0.112990 1.03893i −0.904120 0.427279i \(-0.859472\pi\)
0.791130 0.611648i \(-0.209493\pi\)
\(104\) 43.2459 + 71.8753i 0.0407751 + 0.0677688i
\(105\) −1202.96 405.264i −1.11807 0.376664i
\(106\) −58.1051 172.450i −0.0532422 0.158017i
\(107\) 104.638 + 475.377i 0.0945400 + 0.429500i 0.999987 + 0.00504082i \(0.00160455\pi\)
−0.905447 + 0.424459i \(0.860464\pi\)
\(108\) 344.334 1022.41i 0.306792 0.910938i
\(109\) −628.603 533.941i −0.552379 0.469195i 0.327195 0.944957i \(-0.393897\pi\)
−0.879574 + 0.475762i \(0.842172\pi\)
\(110\) −3045.80 499.333i −2.64005 0.432814i
\(111\) 1293.51 + 598.368i 1.10607 + 0.511663i
\(112\) −392.993 986.338i −0.331557 0.832145i
\(113\) −1785.80 601.707i −1.48667 0.500919i −0.545287 0.838249i \(-0.683579\pi\)
−0.941386 + 0.337331i \(0.890476\pi\)
\(114\) 410.142 + 886.402i 0.336959 + 0.728238i
\(115\) 710.775 + 1536.31i 0.576349 + 1.24576i
\(116\) 2041.79 + 110.703i 1.63427 + 0.0886078i
\(117\) 1628.11 + 862.978i 1.28648 + 0.681900i
\(118\) −1766.62 + 318.411i −1.37823 + 0.248408i
\(119\) 1284.26i 0.989313i
\(120\) −45.6982 86.1865i −0.0347638 0.0655643i
\(121\) 1153.84 533.825i 0.866901 0.401071i
\(122\) 209.421 1925.59i 0.155411 1.42898i
\(123\) 571.853 125.902i 0.419205 0.0922941i
\(124\) 350.769 139.759i 0.254032 0.101216i
\(125\) −210.958 + 143.033i −0.150949 + 0.102346i
\(126\) −1361.79 1035.01i −0.962838 0.731792i
\(127\) −1077.42 + 1268.44i −0.752802 + 0.886266i −0.996501 0.0835844i \(-0.973363\pi\)
0.243699 + 0.969851i \(0.421639\pi\)
\(128\) 58.1878 146.040i 0.0401807 0.100846i
\(129\) 361.029 342.016i 0.246409 0.233433i
\(130\) −3913.03 + 1318.45i −2.63996 + 0.889507i
\(131\) −1235.68 1454.76i −0.824138 0.970250i 0.175762 0.984433i \(-0.443761\pi\)
−0.999899 + 0.0141830i \(0.995485\pi\)
\(132\) −1800.93 954.688i −1.18751 0.629507i
\(133\) 754.499 82.0567i 0.491905 0.0534979i
\(134\) −640.058 + 2907.81i −0.412631 + 1.87460i
\(135\) −1836.37 1104.56i −1.17074 0.704191i
\(136\) 67.8725 71.6521i 0.0427943 0.0451774i
\(137\) −2251.98 1193.92i −1.40437 0.744552i −0.417904 0.908491i \(-0.637235\pi\)
−0.986470 + 0.163939i \(0.947580\pi\)
\(138\) 246.718 + 2267.57i 0.152189 + 1.39876i
\(139\) −258.015 155.242i −0.157443 0.0947300i 0.434652 0.900598i \(-0.356871\pi\)
−0.592095 + 0.805868i \(0.701699\pi\)
\(140\) 1853.81 303.916i 1.11911 0.183469i
\(141\) 1301.72 + 361.357i 0.777480 + 0.215828i
\(142\) −3230.18 + 896.854i −1.90895 + 0.530016i
\(143\) 2106.93 2771.61i 1.23210 1.62080i
\(144\) −290.144 1768.79i −0.167907 1.02360i
\(145\) 1086.63 3913.67i 0.622340 2.24147i
\(146\) 1128.23 598.152i 0.639544 0.339065i
\(147\) 375.050 254.315i 0.210432 0.142691i
\(148\) −2106.04 + 114.186i −1.16970 + 0.0634193i
\(149\) 1524.57 + 2875.64i 0.838239 + 1.58109i 0.813625 + 0.581390i \(0.197491\pi\)
0.0246141 + 0.999697i \(0.492164\pi\)
\(150\) 2148.04 596.505i 1.16924 0.324696i
\(151\) 1159.02 + 1524.66i 0.624633 + 0.821690i 0.994204 0.107512i \(-0.0342885\pi\)
−0.369571 + 0.929202i \(0.620495\pi\)
\(152\) 46.4319 + 35.2966i 0.0247772 + 0.0188351i
\(153\) 465.878 2117.43i 0.246170 1.11885i
\(154\) −2346.22 + 2222.45i −1.22769 + 1.16293i
\(155\) −121.341 740.147i −0.0628796 0.383549i
\(156\) −2726.95 + 0.124601i −1.39956 + 6.39489e-5i
\(157\) −882.160 + 1906.76i −0.448433 + 0.969273i 0.543130 + 0.839649i \(0.317239\pi\)
−0.991563 + 0.129624i \(0.958623\pi\)
\(158\) 732.763 1382.14i 0.368959 0.695930i
\(159\) −233.141 51.3070i −0.116285 0.0255906i
\(160\) 3200.15 + 2169.76i 1.58121 + 1.07209i
\(161\) 1731.00 + 381.022i 0.847341 + 0.186514i
\(162\) −1869.79 2200.47i −0.906816 1.06719i
\(163\) 1144.26 688.478i 0.549848 0.330833i −0.213372 0.976971i \(-0.568445\pi\)
0.763220 + 0.646138i \(0.223617\pi\)
\(164\) −660.446 + 560.988i −0.314465 + 0.267109i
\(165\) −2621.05 + 3086.02i −1.23666 + 1.45604i
\(166\) −2748.75 + 605.046i −1.28521 + 0.282896i
\(167\) −2169.45 864.388i −1.00525 0.400529i −0.191344 0.981523i \(-0.561285\pi\)
−0.813908 + 0.580994i \(0.802664\pi\)
\(168\) −100.799 16.5204i −0.0462904 0.00758676i
\(169\) 398.098 2428.29i 0.181201 1.10527i
\(170\) 2726.44 + 4021.19i 1.23005 + 1.81418i
\(171\) 1273.75 + 138.410i 0.569624 + 0.0618977i
\(172\) −234.993 + 697.435i −0.104175 + 0.309180i
\(173\) 804.156 + 87.4573i 0.353404 + 0.0384350i 0.283099 0.959091i \(-0.408637\pi\)
0.0703045 + 0.997526i \(0.477603\pi\)
\(174\) 3071.20 4530.12i 1.33808 1.97372i
\(175\) 93.7858 1729.78i 0.0405117 0.747194i
\(176\) −3386.57 −1.45041
\(177\) −836.782 + 2201.14i −0.355347 + 0.934734i
\(178\) 6009.25 2.53041
\(179\) 203.331 3750.22i 0.0849032 1.56595i −0.577242 0.816573i \(-0.695871\pi\)
0.662146 0.749375i \(-0.269646\pi\)
\(180\) 3166.71 + 171.404i 1.31129 + 0.0709760i
\(181\) 2617.07 + 284.624i 1.07473 + 0.116884i 0.628326 0.777950i \(-0.283740\pi\)
0.446400 + 0.894834i \(0.352706\pi\)
\(182\) −1380.51 + 4097.20i −0.562252 + 1.66871i
\(183\) −2022.89 1537.61i −0.817137 0.621113i
\(184\) 76.4399 + 112.740i 0.0306262 + 0.0451703i
\(185\) −677.790 + 4134.34i −0.269363 + 1.64304i
\(186\) 163.458 997.333i 0.0644371 0.393161i
\(187\) −3805.38 1516.20i −1.48811 0.592918i
\(188\) −1952.50 + 429.778i −0.757451 + 0.166728i
\(189\) −2084.35 + 830.812i −0.802192 + 0.319750i
\(190\) −2188.23 + 1858.70i −0.835531 + 0.709706i
\(191\) 2742.28 1649.97i 1.03887 0.625067i 0.109412 0.993996i \(-0.465103\pi\)
0.929457 + 0.368929i \(0.120276\pi\)
\(192\) 1482.89 + 1950.52i 0.557387 + 0.733160i
\(193\) 2265.57 + 498.690i 0.844971 + 0.185992i 0.616300 0.787511i \(-0.288631\pi\)
0.228671 + 0.973504i \(0.426562\pi\)
\(194\) −2985.10 2023.95i −1.10473 0.749025i
\(195\) −1164.20 + 5290.15i −0.427538 + 1.94275i
\(196\) −314.114 + 592.482i −0.114473 + 0.215919i
\(197\) 407.812 881.472i 0.147489 0.318793i −0.819724 0.572759i \(-0.805873\pi\)
0.967213 + 0.253966i \(0.0817351\pi\)
\(198\) −4674.53 + 2813.16i −1.67780 + 1.00971i
\(199\) 6.29825 + 38.4176i 0.00224357 + 0.0136852i 0.987925 0.154936i \(-0.0495170\pi\)
−0.985681 + 0.168621i \(0.946069\pi\)
\(200\) 96.6502 91.5519i 0.0341710 0.0323685i
\(201\) 2835.75 + 2685.92i 0.995116 + 0.942538i
\(202\) −2097.35 1594.37i −0.730541 0.555343i
\(203\) −2573.74 3385.69i −0.889857 1.17059i
\(204\) 858.505 + 3091.51i 0.294644 + 1.06102i
\(205\) 806.261 + 1520.77i 0.274691 + 0.518123i
\(206\) 4320.80 234.267i 1.46138 0.0792338i
\(207\) 2715.77 + 1256.15i 0.911878 + 0.421778i
\(208\) −4002.91 + 2122.21i −1.33438 + 0.707445i
\(209\) 647.620 2332.52i 0.214339 0.771979i
\(210\) 1860.88 4671.07i 0.611489 1.53493i
\(211\) 1786.26 2349.79i 0.582802 0.766663i −0.406325 0.913729i \(-0.633190\pi\)
0.989127 + 0.147066i \(0.0469829\pi\)
\(212\) 340.400 94.5117i 0.110277 0.0306183i
\(213\) −1176.32 + 4237.47i −0.378404 + 1.36313i
\(214\) −1902.66 + 311.925i −0.607771 + 0.0996390i
\(215\) 1252.63 + 753.684i 0.397343 + 0.239074i
\(216\) −160.199 63.8036i −0.0504637 0.0200985i
\(217\) −693.847 367.854i −0.217057 0.115076i
\(218\) 2246.65 2371.76i 0.697993 0.736862i
\(219\) 90.6160 1672.73i 0.0279601 0.516130i
\(220\) 1288.08 5851.78i 0.394736 1.79331i
\(221\) −5448.07 + 592.513i −1.65827 + 0.180347i
\(222\) −2644.06 + 4987.78i −0.799359 + 1.50792i
\(223\) −662.317 779.739i −0.198888 0.234149i 0.653673 0.756777i \(-0.273227\pi\)
−0.852561 + 0.522629i \(0.824951\pi\)
\(224\) 3836.43 1292.64i 1.14434 0.385573i
\(225\) 782.122 2817.95i 0.231740 0.834947i
\(226\) 2762.84 6934.20i 0.813191 2.04095i
\(227\) −1206.90 + 1420.87i −0.352884 + 0.415447i −0.909751 0.415155i \(-0.863727\pi\)
0.556867 + 0.830602i \(0.312003\pi\)
\(228\) −1761.39 + 701.896i −0.511628 + 0.203878i
\(229\) 3349.59 2271.08i 0.966581 0.655358i 0.0277059 0.999616i \(-0.491180\pi\)
0.938875 + 0.344258i \(0.111869\pi\)
\(230\) −6228.88 + 2481.81i −1.78574 + 0.711503i
\(231\) 911.544 + 4140.28i 0.259633 + 1.17927i
\(232\) 35.3368 324.916i 0.00999989 0.0919474i
\(233\) −4706.62 + 2177.51i −1.32335 + 0.612248i −0.949069 0.315067i \(-0.897973\pi\)
−0.374283 + 0.927315i \(0.622111\pi\)
\(234\) −3762.40 + 6254.45i −1.05109 + 1.74729i
\(235\) 3971.24i 1.10236i
\(236\) −431.563 3458.05i −0.119035 0.953814i
\(237\) −1058.08 1758.37i −0.290000 0.481933i
\(238\) 5079.54 + 275.405i 1.38343 + 0.0750077i
\(239\) 1275.69 + 2757.37i 0.345263 + 0.746274i 0.999954 0.00962323i \(-0.00306322\pi\)
−0.654691 + 0.755897i \(0.727201\pi\)
\(240\) 4781.92 2212.62i 1.28613 0.595100i
\(241\) 182.708 + 61.5616i 0.0488352 + 0.0164545i 0.343613 0.939111i \(-0.388349\pi\)
−0.294778 + 0.955566i \(0.595246\pi\)
\(242\) 1863.96 + 4678.18i 0.495123 + 1.24266i
\(243\) −3737.95 + 613.683i −0.986790 + 0.162007i
\(244\) 3710.75 + 608.346i 0.973591 + 0.159612i
\(245\) 1015.24 + 862.356i 0.264741 + 0.224873i
\(246\) 375.337 + 2288.80i 0.0972789 + 0.593205i
\(247\) −696.198 3162.86i −0.179344 0.814769i
\(248\) −19.2705 57.1928i −0.00493419 0.0146441i
\(249\) −1178.76 + 3498.97i −0.300004 + 0.890515i
\(250\) −520.487 865.056i −0.131674 0.218844i
\(251\) 274.701 + 2525.83i 0.0690796 + 0.635176i 0.976584 + 0.215134i \(0.0690190\pi\)
−0.907505 + 0.420042i \(0.862015\pi\)
\(252\) 2149.48 2531.04i 0.537320 0.632700i
\(253\) 3172.62 4679.26i 0.788382 1.16278i
\(254\) −4785.90 4533.45i −1.18226 1.11990i
\(255\) 6363.91 345.333i 1.56284 0.0848061i
\(256\) 3988.82 + 1845.42i 0.973833 + 0.450543i
\(257\) 1346.87 2238.51i 0.326908 0.543325i −0.649198 0.760619i \(-0.724895\pi\)
0.976106 + 0.217294i \(0.0697231\pi\)
\(258\) 1275.33 + 1501.29i 0.307745 + 0.362272i
\(259\) 3016.74 + 3184.73i 0.723749 + 0.764052i
\(260\) −2144.55 7723.96i −0.511535 1.84238i
\(261\) −3015.25 6515.80i −0.715094 1.54528i
\(262\) 6018.86 4575.42i 1.41926 1.07889i
\(263\) −3178.70 882.561i −0.745273 0.206924i −0.125924 0.992040i \(-0.540190\pi\)
−0.619349 + 0.785116i \(0.712603\pi\)
\(264\) −167.954 + 279.171i −0.0391548 + 0.0650825i
\(265\) −37.9914 700.711i −0.00880678 0.162431i
\(266\) 162.753 + 3001.80i 0.0375151 + 0.691926i
\(267\) 4063.84 6754.85i 0.931471 1.54828i
\(268\) −5569.51 1546.37i −1.26945 0.352461i
\(269\) 4616.95 3509.71i 1.04647 0.795506i 0.0671335 0.997744i \(-0.478615\pi\)
0.979336 + 0.202238i \(0.0648216\pi\)
\(270\) 4762.59 7026.37i 1.07349 1.58374i
\(271\) 1493.44 + 5378.90i 0.334761 + 1.20570i 0.919045 + 0.394152i \(0.128962\pi\)
−0.584284 + 0.811549i \(0.698625\pi\)
\(272\) 3665.94 + 3870.09i 0.817208 + 0.862716i
\(273\) 3671.97 + 4322.57i 0.814057 + 0.958293i
\(274\) 5205.14 8651.01i 1.14764 1.90740i
\(275\) −5014.75 2320.07i −1.09964 0.508747i
\(276\) −4421.61 + 239.935i −0.964310 + 0.0523276i
\(277\) 3435.00 + 3253.80i 0.745087 + 0.705783i 0.962796 0.270230i \(-0.0870998\pi\)
−0.217709 + 0.976014i \(0.569858\pi\)
\(278\) 669.346 987.212i 0.144405 0.212982i
\(279\) −1010.54 858.198i −0.216843 0.184154i
\(280\) −32.4640 298.501i −0.00692890 0.0637102i
\(281\) −1003.18 1667.29i −0.212970 0.353958i 0.731896 0.681416i \(-0.238636\pi\)
−0.944866 + 0.327458i \(0.893808\pi\)
\(282\) −1708.39 + 5071.09i −0.360756 + 1.07085i
\(283\) −1368.96 4062.93i −0.287548 0.853413i −0.989923 0.141606i \(-0.954774\pi\)
0.702375 0.711807i \(-0.252123\pi\)
\(284\) −1399.05 6355.94i −0.292318 1.32801i
\(285\) 609.496 + 3716.70i 0.126679 + 0.772485i
\(286\) 10510.5 + 8927.70i 2.17307 + 1.84582i
\(287\) 1778.55 + 291.578i 0.365799 + 0.0599697i
\(288\) 6794.22 739.544i 1.39012 0.151313i
\(289\) 568.136 + 1425.91i 0.115639 + 0.290233i
\(290\) 15246.4 + 5137.10i 3.08724 + 1.04021i
\(291\) −4293.77 + 1986.75i −0.864967 + 0.400224i
\(292\) 1040.94 + 2249.94i 0.208617 + 0.450918i
\(293\) −2393.71 129.783i −0.477277 0.0258772i −0.186068 0.982537i \(-0.559575\pi\)
−0.291209 + 0.956660i \(0.594057\pi\)
\(294\) 925.442 + 1537.94i 0.183581 + 0.305083i
\(295\) −6892.67 639.424i −1.36036 0.126199i
\(296\) 337.116i 0.0661976i
\(297\) 0.981053 + 7156.96i 0.000191672 + 1.39828i
\(298\) −11700.7 + 5413.33i −2.27451 + 1.05230i
\(299\) 817.740 7519.00i 0.158164 1.45430i
\(300\) 930.559 + 4226.65i 0.179086 + 0.813420i
\(301\) 1421.98 566.569i 0.272298 0.108493i
\(302\) −6278.91 + 4257.21i −1.19639 + 0.811174i
\(303\) −3210.55 + 1279.37i −0.608717 + 0.242567i
\(304\) −2039.43 + 2401.00i −0.384767 + 0.452983i
\(305\) 2764.68 6938.82i 0.519033 1.30268i
\(306\) 8274.97 + 2296.72i 1.54591 + 0.429068i
\(307\) −1.08677 + 0.366175i −0.000202036 + 6.80739e-5i −0.319403 0.947619i \(-0.603482\pi\)
0.319201 + 0.947687i \(0.396586\pi\)
\(308\) −4061.62 4781.71i −0.751404 0.884622i
\(309\) 2658.66 5015.33i 0.489470 0.923340i
\(310\) 2953.46 321.208i 0.541114 0.0588497i
\(311\) −225.531 + 1024.60i −0.0411212 + 0.186816i −0.992704 0.120577i \(-0.961525\pi\)
0.951583 + 0.307393i \(0.0994565\pi\)
\(312\) −23.5774 + 435.228i −0.00427823 + 0.0789741i
\(313\) −1878.04 + 1982.63i −0.339148 + 0.358034i −0.873152 0.487448i \(-0.837928\pi\)
0.534004 + 0.845482i \(0.320687\pi\)
\(314\) −7352.46 3898.03i −1.32141 0.700568i
\(315\) −3992.18 5250.63i −0.714077 0.939173i
\(316\) 2602.25 + 1565.72i 0.463253 + 0.278730i
\(317\) −4603.78 + 754.751i −0.815691 + 0.133726i −0.555164 0.831741i \(-0.687344\pi\)
−0.260527 + 0.965467i \(0.583896\pi\)
\(318\) 252.926 911.119i 0.0446019 0.160670i
\(319\) −13070.6 + 3629.04i −2.29409 + 0.636951i
\(320\) −4358.84 + 5733.95i −0.761457 + 1.00168i
\(321\) −936.070 + 2349.67i −0.162761 + 0.408554i
\(322\) −1878.23 + 6764.77i −0.325061 + 1.17076i
\(323\) −3366.59 + 1784.85i −0.579945 + 0.307467i
\(324\) 4462.11 3393.30i 0.765109 0.581841i
\(325\) −7381.29 + 400.202i −1.25982 + 0.0683052i
\(326\) 2477.70 + 4673.43i 0.420941 + 0.793980i
\(327\) −1146.71 4129.33i −0.193924 0.698326i
\(328\) 83.8197 + 110.263i 0.0141103 + 0.0185618i
\(329\) 3310.27 + 2516.40i 0.554715 + 0.421684i
\(330\) −11643.8 11028.6i −1.94233 1.83971i
\(331\) −7271.93 + 6888.34i −1.20756 + 1.14386i −0.221906 + 0.975068i \(0.571228\pi\)
−0.985652 + 0.168791i \(0.946014\pi\)
\(332\) −883.979 5392.03i −0.146128 0.891344i
\(333\) 3818.55 + 6345.17i 0.628394 + 1.04418i
\(334\) 3884.07 8395.28i 0.636308 1.37536i
\(335\) −5378.09 + 10144.2i −0.877124 + 1.65443i
\(336\) 1185.75 5388.07i 0.192523 0.874831i
\(337\) −7051.83 4781.26i −1.13987 0.772854i −0.162991 0.986628i \(-0.552114\pi\)
−0.976883 + 0.213774i \(0.931424\pi\)
\(338\) 9519.03 + 2095.30i 1.53185 + 0.337187i
\(339\) −5926.14 7794.97i −0.949451 1.24886i
\(340\) −8081.62 + 4862.55i −1.28908 + 0.775614i
\(341\) −1909.14 + 1621.64i −0.303183 + 0.257526i
\(342\) −820.592 + 5008.25i −0.129744 + 0.791858i
\(343\) 6719.67 1479.11i 1.05781 0.232841i
\(344\) 109.279 + 43.5406i 0.0171276 + 0.00682427i
\(345\) −1422.62 + 8680.08i −0.222004 + 1.35455i
\(346\) −518.360 + 3161.86i −0.0805410 + 0.491279i
\(347\) 148.287 + 218.707i 0.0229408 + 0.0338352i 0.838986 0.544152i \(-0.183149\pi\)
−0.816046 + 0.577987i \(0.803838\pi\)
\(348\) 8458.83 + 6429.62i 1.30299 + 0.990414i
\(349\) −337.460 + 1001.55i −0.0517588 + 0.153615i −0.970415 0.241444i \(-0.922379\pi\)
0.918656 + 0.395058i \(0.129276\pi\)
\(350\) 6821.53 + 741.886i 1.04179 + 0.113301i
\(351\) 4486.10 + 8458.87i 0.682194 + 1.28633i
\(352\) 699.078 12893.7i 0.105855 1.95238i
\(353\) 9499.51 1.43232 0.716158 0.697938i \(-0.245899\pi\)
0.716158 + 0.697938i \(0.245899\pi\)
\(354\) −8526.54 3781.68i −1.28017 0.567779i
\(355\) −12927.5 −1.93274
\(356\) −631.586 + 11648.9i −0.0940280 + 1.73424i
\(357\) 3744.68 5523.53i 0.555152 0.818869i
\(358\) 14789.3 + 1608.44i 2.18335 + 0.237454i
\(359\) 3196.91 9488.09i 0.469990 1.39488i −0.406583 0.913614i \(-0.633280\pi\)
0.876574 0.481268i \(-0.159823\pi\)
\(360\) 54.7591 503.930i 0.00801682 0.0737762i
\(361\) 2585.48 + 3813.30i 0.376948 + 0.555956i
\(362\) −1686.97 + 10290.0i −0.244931 + 1.49401i
\(363\) 6519.14 + 1068.45i 0.942607 + 0.154488i
\(364\) −7797.30 3106.73i −1.12277 0.447354i
\(365\) 4809.23 1058.59i 0.689662 0.151806i
\(366\) 6515.39 7671.22i 0.930505 1.09558i
\(367\) 3632.12 3085.15i 0.516609 0.438811i −0.350769 0.936462i \(-0.614080\pi\)
0.867377 + 0.497651i \(0.165804\pi\)
\(368\) −6303.95 + 3792.96i −0.892979 + 0.537288i
\(369\) 2826.61 + 1125.92i 0.398773 + 0.158843i
\(370\) −16206.8 3567.39i −2.27717 0.501243i
\(371\) −608.159 412.342i −0.0851053 0.0577028i
\(372\) 1916.15 + 421.684i 0.267063 + 0.0587723i
\(373\) 233.734 440.870i 0.0324459 0.0611994i −0.866759 0.498727i \(-0.833801\pi\)
0.899205 + 0.437528i \(0.144146\pi\)
\(374\) 6812.94 14725.9i 0.941949 2.03599i
\(375\) −1324.37 + 0.0605136i −0.182374 + 8.33310e-6i
\(376\) 51.6977 + 315.342i 0.00709071 + 0.0432514i
\(377\) −13175.3 + 12480.3i −1.79990 + 1.70495i
\(378\) −2839.06 8422.22i −0.386311 1.14601i
\(379\) −5702.30 4334.78i −0.772843 0.587500i 0.142678 0.989769i \(-0.454429\pi\)
−0.915522 + 0.402269i \(0.868222\pi\)
\(380\) −3373.09 4437.23i −0.455358 0.599013i
\(381\) −8332.46 + 2313.91i −1.12043 + 0.311142i
\(382\) 5937.92 + 11200.1i 0.795316 + 1.50012i
\(383\) −1943.49 + 105.373i −0.259289 + 0.0140583i −0.183325 0.983052i \(-0.558686\pi\)
−0.0759641 + 0.997111i \(0.524203\pi\)
\(384\) 676.089 458.445i 0.0898477 0.0609243i
\(385\) −11010.6 + 5837.43i −1.45753 + 0.772735i
\(386\) −2458.27 + 8853.88i −0.324152 + 1.16749i
\(387\) 2550.02 418.293i 0.334947 0.0549433i
\(388\) 4237.15 5573.87i 0.554404 0.729306i
\(389\) 6824.75 1894.88i 0.889534 0.246978i 0.207445 0.978247i \(-0.433485\pi\)
0.682089 + 0.731269i \(0.261072\pi\)
\(390\) −20674.0 5739.10i −2.68428 0.745155i
\(391\) −8781.69 + 1439.69i −1.13583 + 0.186210i
\(392\) 91.8431 + 55.2602i 0.0118336 + 0.00712005i
\(393\) −1072.78 9859.83i −0.137696 1.26555i
\(394\) 3398.95 + 1802.01i 0.434611 + 0.230416i
\(395\) 4148.59 4379.61i 0.528451 0.557879i
\(396\) −4961.99 9357.23i −0.629670 1.18742i
\(397\) −1804.60 + 8198.39i −0.228137 + 1.03644i 0.713722 + 0.700429i \(0.247008\pi\)
−0.941859 + 0.336008i \(0.890923\pi\)
\(398\) −153.300 + 16.6724i −0.0193072 + 0.00209978i
\(399\) 3484.31 + 1847.06i 0.437177 + 0.231751i
\(400\) 4655.05 + 5480.35i 0.581881 + 0.685043i
\(401\) 5446.08 1835.00i 0.678216 0.228517i 0.0409495 0.999161i \(-0.486962\pi\)
0.637266 + 0.770644i \(0.280065\pi\)
\(402\) −11231.5 + 10640.0i −1.39347 + 1.32009i
\(403\) −1240.39 + 3113.13i −0.153320 + 0.384805i
\(404\) 3311.11 3898.14i 0.407757 0.480049i
\(405\) −4677.39 10105.2i −0.573880 1.23983i
\(406\) 13943.1 9453.64i 1.70439 1.15561i
\(407\) 12998.2 5178.95i 1.58304 0.630739i
\(408\) 500.840 110.267i 0.0607727 0.0133800i
\(409\) 399.480 3673.16i 0.0482959 0.444073i −0.944877 0.327424i \(-0.893819\pi\)
0.993173 0.116649i \(-0.0372152\pi\)
\(410\) −6187.87 + 2862.81i −0.745359 + 0.344840i
\(411\) −6204.34 11701.3i −0.744616 1.40434i
\(412\) 8400.48i 1.00452i
\(413\) −4900.59 + 5340.29i −0.583879 + 0.636267i
\(414\) −5550.71 + 10472.1i −0.658943 + 1.24317i
\(415\) −10837.6 587.600i −1.28193 0.0695040i
\(416\) −7253.61 15678.4i −0.854897 1.84783i
\(417\) −657.045 1420.01i −0.0771598 0.166758i
\(418\) 9086.73 + 3061.67i 1.06327 + 0.358257i
\(419\) −4742.80 11903.5i −0.552986 1.38789i −0.894100 0.447868i \(-0.852183\pi\)
0.341114 0.940022i \(-0.389196\pi\)
\(420\) 8859.26 + 4098.24i 1.02926 + 0.476128i
\(421\) 5758.44 + 944.049i 0.666625 + 0.109288i 0.485587 0.874188i \(-0.338606\pi\)
0.181038 + 0.983476i \(0.442054\pi\)
\(422\) 8910.85 + 7568.94i 1.02790 + 0.873105i
\(423\) 4544.96 + 5349.75i 0.522420 + 0.614926i
\(424\) −12.1386 55.1464i −0.00139034 0.00631638i
\(425\) 2777.12 + 8242.20i 0.316965 + 0.940719i
\(426\) −16507.8 5561.30i −1.87748 0.632502i
\(427\) −4032.08 6701.37i −0.456969 0.759489i
\(428\) −404.692 3721.08i −0.0457044 0.420245i
\(429\) 17143.3 5777.11i 1.92933 0.650166i
\(430\) −3249.60 + 4792.80i −0.364441 + 0.537511i
\(431\) 3001.33 + 2843.01i 0.335427 + 0.317733i 0.836811 0.547491i \(-0.184417\pi\)
−0.501384 + 0.865225i \(0.667176\pi\)
\(432\) 3909.57 8453.43i 0.435415 0.941472i
\(433\) 7875.34 + 3643.52i 0.874053 + 0.404380i 0.805029 0.593235i \(-0.202150\pi\)
0.0690234 + 0.997615i \(0.478012\pi\)
\(434\) 1603.73 2665.43i 0.177377 0.294803i
\(435\) 16085.0 13664.0i 1.77292 1.50607i
\(436\) 4361.52 + 4604.40i 0.479080 + 0.505759i
\(437\) −1406.91 5067.22i −0.154008 0.554686i
\(438\) 6596.56 + 717.114i 0.719625 + 0.0782307i
\(439\) 1853.03 1408.64i 0.201458 0.153145i −0.499581 0.866267i \(-0.666513\pi\)
0.701040 + 0.713122i \(0.252720\pi\)
\(440\) −922.810 256.217i −0.0999846 0.0277606i
\(441\) 2354.60 0.215174i 0.254249 2.32344e-5i
\(442\) −1175.20 21675.3i −0.126468 2.33256i
\(443\) −319.214 5887.56i −0.0342355 0.631436i −0.964425 0.264357i \(-0.914840\pi\)
0.930190 0.367080i \(-0.119642\pi\)
\(444\) −9390.89 5649.72i −1.00377 0.603883i
\(445\) 22328.4 + 6199.45i 2.37858 + 0.660409i
\(446\) 3226.07 2452.39i 0.342508 0.260368i
\(447\) −1827.78 + 16813.3i −0.193403 + 1.77907i
\(448\) 2017.59 + 7266.72i 0.212773 + 0.766340i
\(449\) 1236.81 + 1305.68i 0.129997 + 0.137236i 0.787744 0.616003i \(-0.211249\pi\)
−0.657747 + 0.753239i \(0.728490\pi\)
\(450\) 10977.9 + 3697.75i 1.15000 + 0.387364i
\(451\) 2963.72 4925.74i 0.309437 0.514289i
\(452\) 13151.5 + 6084.54i 1.36857 + 0.633170i
\(453\) 539.221 + 9936.95i 0.0559268 + 1.03064i
\(454\) −5361.03 5078.23i −0.554197 0.524963i
\(455\) −9356.38 + 13799.6i −0.964030 + 1.42184i
\(456\) 96.7821 + 287.196i 0.00993911 + 0.0294938i
\(457\) 1316.88 + 12108.5i 0.134795 + 1.23942i 0.844747 + 0.535166i \(0.179751\pi\)
−0.709952 + 0.704250i \(0.751283\pi\)
\(458\) 8264.29 + 13735.4i 0.843155 + 1.40133i
\(459\) 8177.74 7748.49i 0.831600 0.787949i
\(460\) −4156.31 12335.5i −0.421280 1.25032i
\(461\) −2152.92 9780.84i −0.217509 0.988154i −0.951177 0.308646i \(-0.900124\pi\)
0.733668 0.679508i \(-0.237807\pi\)
\(462\) −16571.2 + 2717.49i −1.66875 + 0.273656i
\(463\) −1423.09 1208.78i −0.142843 0.121332i 0.573116 0.819474i \(-0.305734\pi\)
−0.715959 + 0.698142i \(0.754010\pi\)
\(464\) 17420.4 + 2855.93i 1.74293 + 0.285739i
\(465\) 1636.25 3537.13i 0.163182 0.352754i
\(466\) −7603.22 19082.7i −0.755821 1.89697i
\(467\) −6760.48 2277.87i −0.669888 0.225712i −0.0362518 0.999343i \(-0.511542\pi\)
−0.633636 + 0.773631i \(0.718438\pi\)
\(468\) −11728.8 7950.75i −1.15847 0.785307i
\(469\) 5047.91 + 10910.9i 0.496996 + 1.07424i
\(470\) −15707.1 851.615i −1.54152 0.0835788i
\(471\) −9353.86 + 5628.62i −0.915081 + 0.550643i
\(472\) −555.646 + 38.9545i −0.0541858 + 0.00379879i
\(473\) 4882.34i 0.474609i
\(474\) 7181.62 3807.87i 0.695913 0.368990i
\(475\) −4664.81 + 2158.17i −0.450603 + 0.208471i
\(476\) −1067.74 + 9817.71i −0.102815 + 0.945366i
\(477\) −853.121 900.464i −0.0818904 0.0864348i
\(478\) −11179.6 + 4454.34i −1.06975 + 0.426228i
\(479\) −7974.35 + 5406.74i −0.760662 + 0.515742i −0.878762 0.477260i \(-0.841630\pi\)
0.118100 + 0.993002i \(0.462320\pi\)
\(480\) 7437.02 + 18663.0i 0.707192 + 1.77468i
\(481\) 12118.4 14266.8i 1.14875 1.35242i
\(482\) −282.670 + 709.449i −0.0267122 + 0.0670425i
\(483\) 6333.92 + 6686.03i 0.596695 + 0.629865i
\(484\) −9264.53 + 3121.59i −0.870073 + 0.293162i
\(485\) −9003.62 10599.9i −0.842956 0.992404i
\(486\) −1625.66 14916.0i −0.151732 1.39219i
\(487\) −1607.63 + 174.840i −0.149587 + 0.0162685i −0.182606 0.983186i \(-0.558453\pi\)
0.0330192 + 0.999455i \(0.489488\pi\)
\(488\) 129.204 586.978i 0.0119852 0.0544493i
\(489\) 6928.86 + 375.354i 0.640764 + 0.0347119i
\(490\) −3628.52 + 3830.58i −0.334530 + 0.353159i
\(491\) −10777.9 5714.07i −0.990630 0.525199i −0.107439 0.994212i \(-0.534265\pi\)
−0.883191 + 0.469013i \(0.844610\pi\)
\(492\) −4476.27 + 487.031i −0.410175 + 0.0446282i
\(493\) 18296.1 + 11008.4i 1.67143 + 1.00567i
\(494\) 12659.1 2075.35i 1.15295 0.189017i
\(495\) −20271.2 + 5630.27i −1.84065 + 0.511236i
\(496\) 3140.93 872.075i 0.284339 0.0789462i
\(497\) −8191.61 + 10775.9i −0.739324 + 0.972564i
\(498\) −13586.4 5412.59i −1.22253 0.487036i
\(499\) 219.919 792.077i 0.0197293 0.0710586i −0.953030 0.302876i \(-0.902053\pi\)
0.972759 + 0.231817i \(0.0744671\pi\)
\(500\) 1731.61 918.042i 0.154880 0.0821122i
\(501\) −6810.26 10043.4i −0.607305 0.895620i
\(502\) −10049.1 + 544.847i −0.893454 + 0.0484417i
\(503\) −6180.26 11657.2i −0.547841 1.03334i −0.990612 0.136703i \(-0.956349\pi\)
0.442771 0.896635i \(-0.353995\pi\)
\(504\) −385.358 364.964i −0.0340580 0.0322555i
\(505\) −6148.25 8087.88i −0.541769 0.712685i
\(506\) 17827.1 + 13551.8i 1.56623 + 1.19062i
\(507\) 8792.63 9283.12i 0.770206 0.813171i
\(508\) 9291.08 8800.98i 0.811466 0.768662i
\(509\) −260.132 1586.74i −0.0226526 0.138174i 0.973079 0.230472i \(-0.0740271\pi\)
−0.995731 + 0.0922978i \(0.970579\pi\)
\(510\) 1.15349 + 25244.7i 0.000100151 + 2.19187i
\(511\) 2165.00 4679.57i 0.187425 0.405112i
\(512\) −7565.34 + 14269.7i −0.653016 + 1.23172i
\(513\) 5074.71 + 4309.30i 0.436752 + 0.370878i
\(514\) 8564.96 + 5807.19i 0.734989 + 0.498335i
\(515\) 16296.4 + 3587.10i 1.39437 + 0.306925i
\(516\) −3044.28 + 2314.42i −0.259723 + 0.197455i
\(517\) 11364.4 6837.74i 0.966744 0.581670i
\(518\) −13243.2 + 11248.9i −1.12331 + 0.954146i
\(519\) 3203.61 + 2720.92i 0.270950 + 0.230126i
\(520\) −1251.32 + 275.436i −0.105527 + 0.0232282i
\(521\) 17382.1 + 6925.65i 1.46166 + 0.582377i 0.959326 0.282300i \(-0.0910973\pi\)
0.502329 + 0.864677i \(0.332477\pi\)
\(522\) 26418.0 10528.7i 2.21510 0.882813i
\(523\) −3628.34 + 22131.9i −0.303358 + 1.85040i 0.191586 + 0.981476i \(0.438637\pi\)
−0.494944 + 0.868925i \(0.664811\pi\)
\(524\) 8236.83 + 12148.4i 0.686694 + 1.01280i
\(525\) 5447.08 7166.19i 0.452819 0.595730i
\(526\) 4172.38 12383.2i 0.345864 1.02649i
\(527\) 3919.80 + 426.304i 0.324002 + 0.0352374i
\(528\) −14565.4 9874.61i −1.20053 0.813897i
\(529\) 6.20395 114.425i 0.000509900 0.00940455i
\(530\) 2779.61 0.227808
\(531\) −10017.1 + 7027.06i −0.818651 + 0.574291i
\(532\) −5836.08 −0.475613
\(533\) 416.367 7679.43i 0.0338365 0.624077i
\(534\) 25845.4 + 17521.9i 2.09446 + 1.41994i
\(535\) −7391.44 803.868i −0.597308 0.0649612i
\(536\) −294.998 + 875.524i −0.0237724 + 0.0705539i
\(537\) 11809.5 15536.6i 0.949006 1.24851i
\(538\) 12891.6 + 19013.7i 1.03308 + 1.52368i
\(539\) 719.724 4390.12i 0.0575152 0.350827i
\(540\) 13120.0 + 9970.74i 1.04555 + 0.794579i
\(541\) −12218.7 4868.37i −0.971020 0.386890i −0.169945 0.985454i \(-0.554359\pi\)
−0.801075 + 0.598564i \(0.795738\pi\)
\(542\) −21595.0 + 4753.41i −1.71141 + 0.376709i
\(543\) 10425.9 + 8855.05i 0.823977 + 0.699828i
\(544\) −15491.4 + 13158.5i −1.22094 + 1.03707i
\(545\) 10794.6 6494.92i 0.848425 0.510480i
\(546\) −17884.1 + 13596.5i −1.40178 + 1.06570i
\(547\) 9562.46 + 2104.86i 0.747461 + 0.164529i 0.572338 0.820018i \(-0.306037\pi\)
0.175123 + 0.984547i \(0.443968\pi\)
\(548\) 16222.9 + 10999.4i 1.26461 + 0.857428i
\(549\) −4216.90 12511.5i −0.327820 0.972640i
\(550\) 10251.8 19336.9i 0.794794 1.49914i
\(551\) −5298.37 + 11452.2i −0.409652 + 0.885448i
\(552\) 0.0323398 + 707.774i 2.49361e−6 + 0.0545740i
\(553\) −1021.89 6233.27i −0.0785810 0.479323i
\(554\) −13606.1 + 12888.4i −1.04344 + 0.988403i
\(555\) −14970.1 + 15805.2i −1.14495 + 1.20882i
\(556\) 1843.36 + 1401.28i 0.140604 + 0.106884i
\(557\) 11593.9 + 15251.5i 0.881957 + 1.16019i 0.986186 + 0.165641i \(0.0529692\pi\)
−0.104230 + 0.994553i \(0.533238\pi\)
\(558\) 3611.06 3812.85i 0.273958 0.289267i
\(559\) −3059.54 5770.90i −0.231493 0.436642i
\(560\) 16194.0 878.013i 1.22200 0.0662550i
\(561\) −11945.7 17616.9i −0.899016 1.32582i
\(562\) 6809.62 3610.23i 0.511115 0.270976i
\(563\) 849.855 3060.90i 0.0636184 0.229133i −0.924906 0.380197i \(-0.875856\pi\)
0.988524 + 0.151064i \(0.0482700\pi\)
\(564\) −9650.73 3844.69i −0.720513 0.287040i
\(565\) 17419.5 22914.9i 1.29707 1.70626i
\(566\) 16363.3 4543.25i 1.21520 0.337398i
\(567\) −11387.1 2504.32i −0.843413 0.185488i
\(568\) −1026.53 + 168.291i −0.0758312 + 0.0124319i
\(569\) −11410.0 6865.18i −0.840655 0.505805i 0.0289340 0.999581i \(-0.490789\pi\)
−0.869589 + 0.493776i \(0.835616\pi\)
\(570\) −14831.0 + 1613.66i −1.08983 + 0.118577i
\(571\) 4804.76 + 2547.32i 0.352141 + 0.186694i 0.635084 0.772443i \(-0.280966\pi\)
−0.282942 + 0.959137i \(0.591310\pi\)
\(572\) −18411.0 + 19436.2i −1.34581 + 1.42075i
\(573\) 16605.4 + 899.555i 1.21064 + 0.0655837i
\(574\) −1534.66 + 6972.01i −0.111595 + 0.506979i
\(575\) −11933.2 + 1297.82i −0.865478 + 0.0941264i
\(576\) 690.438 + 12712.9i 0.0499449 + 0.919624i
\(577\) −10558.8 12430.7i −0.761815 0.896878i 0.235366 0.971907i \(-0.424371\pi\)
−0.997181 + 0.0750285i \(0.976095\pi\)
\(578\) −5761.63 + 1941.32i −0.414623 + 0.139703i
\(579\) 8289.98 + 8750.83i 0.595026 + 0.628104i
\(580\) −11560.7 + 29015.1i −0.827640 + 2.07722i
\(581\) −7357.15 + 8661.51i −0.525346 + 0.618485i
\(582\) −6937.24 17408.8i −0.494086 1.23990i
\(583\) −1939.80 + 1315.21i −0.137801 + 0.0934316i
\(584\) 368.103 146.666i 0.0260826 0.0103922i
\(585\) −20432.3 + 19358.0i −1.44405 + 1.36813i
\(586\) 1026.64 9439.81i 0.0723723 0.665452i
\(587\) 18485.0 8552.08i 1.29976 0.601332i 0.356781 0.934188i \(-0.383874\pi\)
0.942978 + 0.332856i \(0.108012\pi\)
\(588\) −3078.55 + 1632.33i −0.215914 + 0.114483i
\(589\) 2330.10i 0.163005i
\(590\) 4007.16 27124.9i 0.279614 1.89273i
\(591\) 4324.18 2602.04i 0.300970 0.181106i
\(592\) −18181.7 985.783i −1.26227 0.0684382i
\(593\) 2239.57 + 4840.76i 0.155090 + 0.335221i 0.969509 0.245056i \(-0.0788063\pi\)
−0.814419 + 0.580277i \(0.802944\pi\)
\(594\) −28307.5 1530.90i −1.95534 0.105747i
\(595\) 18589.8 + 6263.62i 1.28085 + 0.431569i
\(596\) −9263.95 23250.8i −0.636688 1.59797i
\(597\) −84.9304 + 183.596i −0.00582239 + 0.0125864i
\(598\) 29563.9 + 4846.75i 2.02167 + 0.331436i
\(599\) 4300.48 + 3652.86i 0.293344 + 0.249169i 0.781958 0.623332i \(-0.214221\pi\)
−0.488614 + 0.872500i \(0.662497\pi\)
\(600\) 682.635 111.944i 0.0464474 0.00761684i
\(601\) 3705.48 + 16834.2i 0.251497 + 1.14256i 0.917851 + 0.396926i \(0.129923\pi\)
−0.666354 + 0.745636i \(0.732146\pi\)
\(602\) 1935.96 + 5745.74i 0.131070 + 0.389001i
\(603\) 4364.72 + 19820.5i 0.294768 + 1.33856i
\(604\) −7592.65 12619.1i −0.511491 0.850104i
\(605\) 2099.60 + 19305.5i 0.141092 + 1.29732i
\(606\) −4371.69 12972.8i −0.293049 0.869608i
\(607\) 9656.62 14242.4i 0.645717 0.952361i −0.354136 0.935194i \(-0.615225\pi\)
0.999853 0.0171670i \(-0.00546468\pi\)
\(608\) −8720.38 8260.38i −0.581674 0.550991i
\(609\) −1197.41 22066.2i −0.0796737 1.46825i
\(610\) 26851.7 + 12422.9i 1.78228 + 0.824571i
\(611\) 9147.79 15203.7i 0.605695 1.00667i
\(612\) −5321.90 + 15799.6i −0.351511 + 1.04356i
\(613\) −7001.54 7391.43i −0.461320 0.487010i 0.453280 0.891368i \(-0.350254\pi\)
−0.914601 + 0.404358i \(0.867495\pi\)
\(614\) −1.21525 4.37692i −7.98752e−5 0.000287684i
\(615\) −966.612 + 8891.63i −0.0633782 + 0.583001i
\(616\) −798.318 + 606.865i −0.0522161 + 0.0396937i
\(617\) 3000.69 + 833.136i 0.195791 + 0.0543611i 0.364039 0.931384i \(-0.381397\pi\)
−0.168249 + 0.985745i \(0.553811\pi\)
\(618\) 19266.6 + 11591.1i 1.25407 + 0.754470i
\(619\) 180.827 + 3335.17i 0.0117416 + 0.216562i 0.998516 + 0.0544611i \(0.0173441\pi\)
−0.986774 + 0.162100i \(0.948173\pi\)
\(620\) 312.246 + 5759.03i 0.0202259 + 0.373045i
\(621\) 8017.63 + 13321.3i 0.518094 + 0.860812i
\(622\) −4004.14 1111.74i −0.258121 0.0716670i
\(623\) 19316.2 14683.8i 1.24219 0.944290i
\(624\) −23404.2 2544.28i −1.50147 0.163225i
\(625\) −4663.65 16796.9i −0.298473 1.07500i
\(626\) −7438.97 7853.23i −0.474954 0.501403i
\(627\) 9586.56 8143.66i 0.610607 0.518702i
\(628\) 8329.07 13843.0i 0.529245 0.879612i
\(629\) −19988.8 9247.82i −1.26710 0.586224i
\(630\) 21623.5 14664.0i 1.36746 0.927344i
\(631\) 17089.4 + 16187.9i 1.07816 + 1.02129i 0.999703 + 0.0243681i \(0.00775738\pi\)
0.0784552 + 0.996918i \(0.475001\pi\)
\(632\) 272.411 401.776i 0.0171454 0.0252876i
\(633\) 14534.1 4897.86i 0.912606 0.307539i
\(634\) −1997.94 18370.8i −0.125155 1.15078i
\(635\) −13105.9 21782.2i −0.819042 1.36126i
\(636\) 1739.62 + 586.057i 0.108460 + 0.0365388i
\(637\) −1900.38 5640.12i −0.118204 0.350816i
\(638\) −11550.7 52475.4i −0.716766 3.25630i
\(639\) −17414.9 + 14795.1i −1.07813 + 0.915941i
\(640\) 1830.15 + 1554.54i 0.113036 + 0.0960134i
\(641\) 11142.4 + 1826.70i 0.686580 + 0.112559i 0.494967 0.868912i \(-0.335180\pi\)
0.191613 + 0.981471i \(0.438628\pi\)
\(642\) −9092.72 4206.23i −0.558973 0.258578i
\(643\) −10772.4 27036.6i −0.660685 1.65819i −0.749384 0.662136i \(-0.769650\pi\)
0.0886992 0.996058i \(-0.471729\pi\)
\(644\) −12916.1 4351.93i −0.790317 0.266289i
\(645\) 3189.88 + 6893.99i 0.194731 + 0.420854i
\(646\) −6337.53 13698.3i −0.385986 0.834294i
\(647\) 2243.59 + 121.644i 0.136329 + 0.00739152i 0.122177 0.992508i \(-0.461012\pi\)
0.0141517 + 0.999900i \(0.495495\pi\)
\(648\) −502.965 741.525i −0.0304912 0.0449535i
\(649\) 10038.1 + 20825.6i 0.607132 + 1.25959i
\(650\) 29280.4i 1.76688i
\(651\) −1911.59 3605.25i −0.115086 0.217052i
\(652\) −9319.83 + 4311.81i −0.559805 + 0.258993i
\(653\) −2461.67 + 22634.7i −0.147523 + 1.35645i 0.653094 + 0.757277i \(0.273471\pi\)
−0.800617 + 0.599176i \(0.795495\pi\)
\(654\) 16578.3 3649.96i 0.991228 0.218233i
\(655\) 27084.3 10791.4i 1.61568 0.643747i
\(656\) −6191.92 + 4198.22i −0.368527 + 0.249867i
\(657\) 5267.10 6930.07i 0.312769 0.411518i
\(658\) −10662.8 + 12553.2i −0.631731 + 0.743731i
\(659\) −11581.9 + 29068.3i −0.684622 + 1.71827i 0.0110757 + 0.999939i \(0.496474\pi\)
−0.695698 + 0.718334i \(0.744905\pi\)
\(660\) 22602.7 21412.3i 1.33304 1.26284i
\(661\) −11265.8 + 3795.90i −0.662920 + 0.223364i −0.630593 0.776114i \(-0.717188\pi\)
−0.0323269 + 0.999477i \(0.510292\pi\)
\(662\) −25685.4 30239.2i −1.50799 1.77535i
\(663\) −25159.4 13337.2i −1.47377 0.781259i
\(664\) −868.228 + 94.4255i −0.0507437 + 0.00551871i
\(665\) −2492.07 + 11321.6i −0.145321 + 0.660200i
\(666\) −25915.4 + 13742.5i −1.50781 + 0.799566i
\(667\) −20265.9 + 21394.4i −1.17646 + 1.24197i
\(668\) 15866.0 + 8411.61i 0.918972 + 0.487208i
\(669\) −575.001 5284.80i −0.0332299 0.305414i
\(670\) −38969.0 23446.9i −2.24702 1.35199i
\(671\) −24617.0 + 4035.75i −1.41628 + 0.232188i
\(672\) 20269.3 + 5626.75i 1.16355 + 0.323001i
\(673\) −31215.3 + 8666.90i −1.78791 + 0.496411i −0.993782 0.111341i \(-0.964485\pi\)
−0.794127 + 0.607751i \(0.792072\pi\)
\(674\) 20423.1 26866.2i 1.16717 1.53538i
\(675\) 11580.5 9839.27i 0.660344 0.561057i
\(676\) −5062.19 + 18232.4i −0.288017 + 1.03734i
\(677\) 10911.0 5784.64i 0.619414 0.328392i −0.128980 0.991647i \(-0.541170\pi\)
0.748394 + 0.663255i \(0.230825\pi\)
\(678\) 32101.6 21767.6i 1.81837 1.23301i
\(679\) −14540.9 + 788.383i −0.821837 + 0.0445587i
\(680\) 706.139 + 1331.92i 0.0398223 + 0.0751129i
\(681\) −9333.78 + 2591.97i −0.525214 + 0.145851i
\(682\) −6004.51 7898.80i −0.337133 0.443491i
\(683\) −3552.77 2700.74i −0.199038 0.151305i 0.500908 0.865501i \(-0.332999\pi\)
−0.699946 + 0.714196i \(0.746793\pi\)
\(684\) −9622.23 2117.09i −0.537888 0.118347i
\(685\) 28265.4 26774.4i 1.57659 1.49343i
\(686\) 4409.20 + 26894.9i 0.245399 + 1.49687i
\(687\) 21028.4 0.960836i 1.16781 5.33598e-5i
\(688\) −2667.82 + 5766.40i −0.147834 + 0.319538i
\(689\) −1468.64 + 2770.16i −0.0812060 + 0.153171i
\(690\) −34026.5 7488.16i −1.87734 0.413144i
\(691\) −13159.3 8922.21i −0.724461 0.491197i 0.142361 0.989815i \(-0.454531\pi\)
−0.866822 + 0.498618i \(0.833841\pi\)
\(692\) −6074.76 1337.16i −0.333711 0.0734553i
\(693\) −8151.82 + 20465.0i −0.446843 + 1.12179i
\(694\) −896.832 + 539.606i −0.0490537 + 0.0295147i
\(695\) 3505.53 2977.62i 0.191327 0.162515i
\(696\) 1099.38 1294.41i 0.0598733 0.0704948i
\(697\) −8837.24 + 1945.22i −0.480250 + 0.105711i
\(698\) −3888.96 1549.50i −0.210887 0.0840252i
\(699\) −26592.1 4358.30i −1.43892 0.235831i
\(700\) −2155.10 + 13145.5i −0.116364 + 0.709792i
\(701\) 11746.1 + 17324.2i 0.632873 + 0.933418i 0.999995 + 0.00324499i \(0.00103291\pi\)
−0.367122 + 0.930173i \(0.619657\pi\)
\(702\) −34418.7 + 15929.5i −1.85050 + 0.856439i
\(703\) 4155.89 12334.2i 0.222962 0.661727i
\(704\) 23913.8 + 2600.79i 1.28024 + 0.139234i
\(705\) −11579.4 + 17080.0i −0.618590 + 0.912442i
\(706\) −2037.13 + 37572.6i −0.108595 + 2.00292i
\(707\) −10637.6 −0.565868
\(708\) 8226.93 16131.2i 0.436704 0.856282i
\(709\) 28965.6 1.53431 0.767155 0.641462i \(-0.221672\pi\)
0.767155 + 0.641462i \(0.221672\pi\)
\(710\) 2772.25 51131.1i 0.146536 2.70270i
\(711\) 576.331 10647.8i 0.0303996 0.561636i
\(712\) 1853.72 + 201.605i 0.0975719 + 0.0106116i
\(713\) −1737.54 + 5156.84i −0.0912643 + 0.270863i
\(714\) 21043.7 + 15995.5i 1.10300 + 0.838398i
\(715\) 29843.3 + 44015.5i 1.56094 + 2.30222i
\(716\) −4672.34 + 28500.0i −0.243873 + 1.48756i
\(717\) −2553.31 + 15578.9i −0.132992 + 0.811446i
\(718\) 36841.9 + 14679.1i 1.91494 + 0.762982i
\(719\) 21254.7 4678.51i 1.10246 0.242669i 0.373773 0.927520i \(-0.378064\pi\)
0.728683 + 0.684851i \(0.240133\pi\)
\(720\) 27018.3 + 4426.89i 1.39849 + 0.229140i
\(721\) 13316.4 11311.0i 0.687833 0.584250i
\(722\) −15636.9 + 9408.39i −0.806017 + 0.484964i
\(723\) 606.313 + 797.516i 0.0311882 + 0.0410234i
\(724\) −19769.9 4351.68i −1.01484 0.223383i
\(725\) 23839.1 + 16163.3i 1.22119 + 0.827988i
\(726\) −5623.96 + 25555.5i −0.287500 + 1.30641i
\(727\) −4230.08 + 7978.78i −0.215798 + 0.407038i −0.967651 0.252293i \(-0.918815\pi\)
0.751853 + 0.659331i \(0.229160\pi\)
\(728\) −563.313 + 1217.58i −0.0286782 + 0.0619870i
\(729\) −17866.1 8259.78i −0.907690 0.419640i
\(730\) 3155.64 + 19248.5i 0.159994 + 0.975919i
\(731\) −5579.42 + 5285.11i −0.282301 + 0.267410i
\(732\) 14185.8 + 13436.3i 0.716289 + 0.678443i
\(733\) −22218.3 16889.9i −1.11958 0.851083i −0.129499 0.991580i \(-0.541337\pi\)
−0.990081 + 0.140497i \(0.955130\pi\)
\(734\) 11423.6 + 15027.4i 0.574456 + 0.755684i
\(735\) 1852.02 + 6669.20i 0.0929427 + 0.334690i
\(736\) −13139.7 24784.1i −0.658065 1.24124i
\(737\) 38289.4 2075.99i 1.91372 0.103759i
\(738\) −5059.42 + 10938.4i −0.252357 + 0.545593i
\(739\) −30013.5 + 15912.2i −1.49400 + 0.792068i −0.997126 0.0757547i \(-0.975863\pi\)
−0.496873 + 0.867823i \(0.665519\pi\)
\(740\) 8618.75 31041.9i 0.428151 1.54206i
\(741\) 6228.02 15633.2i 0.308761 0.775035i
\(742\) 1761.32 2316.97i 0.0871429 0.114635i
\(743\) −26601.5 + 7385.87i −1.31348 + 0.364685i −0.852500 0.522727i \(-0.824915\pi\)
−0.460977 + 0.887412i \(0.652501\pi\)
\(744\) 83.8827 302.172i 0.00413345 0.0148900i
\(745\) −49060.7 + 8043.09i −2.41268 + 0.395538i
\(746\) 1693.61 + 1019.01i 0.0831200 + 0.0500117i
\(747\) −15272.1 + 11611.8i −0.748029 + 0.568745i
\(748\) 27830.1 + 14754.6i 1.36039 + 0.721232i
\(749\) −5353.71 + 5651.85i −0.261176 + 0.275720i
\(750\) 283.766 5238.19i 0.0138156 0.255029i
\(751\) 4836.53 21972.6i 0.235003 1.06763i −0.700318 0.713831i \(-0.746959\pi\)
0.935321 0.353799i \(-0.115110\pi\)
\(752\) −17158.5 + 1866.10i −0.832057 + 0.0904917i
\(753\) −6183.40 + 11664.4i −0.299250 + 0.564508i
\(754\) −46536.8 54787.4i −2.24771 2.64620i
\(755\) −27722.3 + 9340.73i −1.33632 + 0.450257i
\(756\) 16624.8 4618.31i 0.799787 0.222178i
\(757\) −13046.2 + 32743.5i −0.626383 + 1.57210i 0.181906 + 0.983316i \(0.441773\pi\)
−0.808289 + 0.588786i \(0.799606\pi\)
\(758\) 18367.8 21624.2i 0.880143 1.03618i
\(759\) 27289.1 10874.4i 1.30505 0.520047i
\(760\) −737.378 + 499.955i −0.0351941 + 0.0238622i
\(761\) −18132.2 + 7224.52i −0.863720 + 0.344138i −0.759571 0.650424i \(-0.774591\pi\)
−0.104149 + 0.994562i \(0.533212\pi\)
\(762\) −7365.13 33452.9i −0.350145 1.59038i
\(763\) 1426.18 13113.5i 0.0676688 0.622205i
\(764\) −22335.5 + 10333.5i −1.05768 + 0.489336i
\(765\) 28377.6 + 17070.7i 1.34117 + 0.806789i
\(766\) 7709.53i 0.363651i
\(767\) 24915.4 + 18325.3i 1.17294 + 0.862698i
\(768\) 11774.7 + 19567.7i 0.553234 + 0.919387i
\(769\) −19238.9 1043.10i −0.902176 0.0489146i −0.402788 0.915293i \(-0.631959\pi\)
−0.499388 + 0.866379i \(0.666442\pi\)
\(770\) −20727.1 44800.9i −0.970069 2.09677i
\(771\) 12319.9 5700.47i 0.575473 0.266274i
\(772\) −16904.8 5695.90i −0.788107 0.265544i
\(773\) 13014.5 + 32663.9i 0.605562 +