Properties

Label 43.4.e.a.11.5
Level $43$
Weight $4$
Character 43.11
Analytic conductor $2.537$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 43.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.53708213025\)
Analytic rank: \(0\)
Dimension: \(60\)
Relative dimension: \(10\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 11.5
Character \(\chi\) \(=\) 43.11
Dual form 43.4.e.a.4.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.873702 - 1.09559i) q^{2} +(4.80787 - 6.02888i) q^{3} +(1.34321 - 5.88499i) q^{4} +(-14.6785 + 7.06881i) q^{5} -10.8058 q^{6} +16.8292 q^{7} +(-17.7214 + 8.53416i) q^{8} +(-7.22369 - 31.6490i) q^{9} +O(q^{10})\) \(q+(-0.873702 - 1.09559i) q^{2} +(4.80787 - 6.02888i) q^{3} +(1.34321 - 5.88499i) q^{4} +(-14.6785 + 7.06881i) q^{5} -10.8058 q^{6} +16.8292 q^{7} +(-17.7214 + 8.53416i) q^{8} +(-7.22369 - 31.6490i) q^{9} +(20.5692 + 9.90558i) q^{10} +(-3.70017 - 16.2115i) q^{11} +(-29.0219 - 36.3923i) q^{12} +(72.4170 - 34.8742i) q^{13} +(-14.7037 - 18.4379i) q^{14} +(-27.9555 + 122.481i) q^{15} +(-18.6753 - 8.99355i) q^{16} +(77.8953 + 37.5124i) q^{17} +(-28.3629 + 35.5660i) q^{18} +(-29.9127 + 131.056i) q^{19} +(21.8835 + 95.8779i) q^{20} +(80.9126 - 101.461i) q^{21} +(-14.5283 + 18.2179i) q^{22} +(-20.6519 - 90.4819i) q^{23} +(-33.7506 + 147.871i) q^{24} +(87.5551 - 109.791i) q^{25} +(-101.479 - 48.8695i) q^{26} +(-37.9542 - 18.2778i) q^{27} +(22.6052 - 99.0397i) q^{28} +(30.9122 + 38.7627i) q^{29} +(158.613 - 76.3842i) q^{30} +(-37.2757 - 46.7423i) q^{31} +(41.4779 + 181.727i) q^{32} +(-115.527 - 55.6350i) q^{33} +(-26.9591 - 118.116i) q^{34} +(-247.028 + 118.962i) q^{35} -195.957 q^{36} -128.973 q^{37} +(169.718 - 81.7321i) q^{38} +(137.919 - 604.264i) q^{39} +(199.797 - 250.538i) q^{40} +(152.540 + 191.279i) q^{41} -181.853 q^{42} +(-48.3873 + 277.787i) q^{43} -100.375 q^{44} +(329.754 + 413.499i) q^{45} +(-81.0872 + 101.680i) q^{46} +(-17.3079 + 75.8307i) q^{47} +(-144.009 + 69.3512i) q^{48} -59.7780 q^{49} -196.782 q^{50} +(600.668 - 289.266i) q^{51} +(-107.963 - 473.017i) q^{52} +(-400.073 - 192.665i) q^{53} +(13.1357 + 57.5515i) q^{54} +(168.909 + 211.806i) q^{55} +(-298.236 + 143.623i) q^{56} +(646.306 + 810.442i) q^{57} +(15.4598 - 67.7340i) q^{58} +(-485.882 - 233.988i) q^{59} +(683.249 + 329.036i) q^{60} +(391.056 - 490.369i) q^{61} +(-18.6424 + 81.6776i) q^{62} +(-121.569 - 532.628i) q^{63} +(59.4685 - 74.5712i) q^{64} +(-816.457 + 1023.80i) q^{65} +(39.9834 + 175.179i) q^{66} +(-121.667 + 533.057i) q^{67} +(325.390 - 408.026i) q^{68} +(-644.796 - 310.517i) q^{69} +(346.162 + 166.703i) q^{70} +(-50.5040 + 221.273i) q^{71} +(398.112 + 499.216i) q^{72} +(-663.422 + 319.487i) q^{73} +(112.683 + 141.301i) q^{74} +(-240.961 - 1055.72i) q^{75} +(731.086 + 352.072i) q^{76} +(-62.2710 - 272.827i) q^{77} +(-782.524 + 376.844i) q^{78} +440.716 q^{79} +337.700 q^{80} +(497.025 - 239.355i) q^{81} +(76.2885 - 334.242i) q^{82} +(-53.2813 + 66.8126i) q^{83} +(-488.415 - 612.454i) q^{84} -1408.56 q^{85} +(346.616 - 189.690i) q^{86} +382.317 q^{87} +(203.924 + 255.713i) q^{88} +(550.122 - 689.831i) q^{89} +(164.917 - 722.549i) q^{90} +(1218.72 - 586.905i) q^{91} -560.225 q^{92} -461.020 q^{93} +(98.2010 - 47.2911i) q^{94} +(-487.337 - 2135.16i) q^{95} +(1295.03 + 623.653i) q^{96} +(1.55579 + 6.81635i) q^{97} +(52.2281 + 65.4920i) q^{98} +(-486.350 + 234.214i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60q - 9q^{2} - 3q^{3} - 31q^{4} - 23q^{5} + 16q^{6} + 96q^{7} + 61q^{8} - 177q^{9} + O(q^{10}) \) \( 60q - 9q^{2} - 3q^{3} - 31q^{4} - 23q^{5} + 16q^{6} + 96q^{7} + 61q^{8} - 177q^{9} - 61q^{10} + 83q^{11} + 33q^{12} + 107q^{13} - 299q^{14} + 109q^{15} + 41q^{16} + 181q^{17} - 414q^{18} + 284q^{19} - 363q^{20} - 88q^{21} + 421q^{22} + 231q^{23} - 937q^{24} + 213q^{25} + 139q^{26} - 27q^{27} + 29q^{28} - 367q^{29} + 1244q^{30} - 319q^{31} + 435q^{32} - 2594q^{33} - 583q^{34} - 902q^{35} + 1552q^{36} + 1020q^{37} + 1251q^{38} - 1571q^{39} + 1263q^{40} + 293q^{41} - 1830q^{42} + 1661q^{43} + 6512q^{44} + 1019q^{45} - 2786q^{46} - 287q^{47} - 95q^{48} + 772q^{49} - 282q^{50} + 1524q^{51} - 1511q^{52} - 1505q^{53} - 3489q^{54} - 1735q^{55} - 1237q^{56} + 1055q^{57} + 335q^{58} + 571q^{59} - 101q^{60} - 339q^{61} + 923q^{62} - 702q^{63} - 5163q^{64} + 2463q^{65} + 985q^{66} - 241q^{67} + 2904q^{68} + 2711q^{69} - 7698q^{70} - 2431q^{71} - 4340q^{72} - 2157q^{73} - 1294q^{74} - 242q^{75} - 4272q^{76} - 3962q^{77} - 2860q^{78} + 1092q^{79} + 11618q^{80} + 12060q^{81} + 4023q^{82} - 2664q^{83} + 3334q^{84} - 3446q^{85} + 10055q^{86} + 11874q^{87} + 9957q^{88} - 5811q^{89} - 1612q^{90} - 760q^{91} + 2120q^{92} + 3994q^{93} + 6057q^{94} + 379q^{95} - 2044q^{96} - 5509q^{97} - 9041q^{98} - 2012q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.873702 1.09559i −0.308900 0.387349i 0.603013 0.797731i \(-0.293967\pi\)
−0.911913 + 0.410383i \(0.865395\pi\)
\(3\) 4.80787 6.02888i 0.925275 1.16026i −0.0614914 0.998108i \(-0.519586\pi\)
0.986766 0.162150i \(-0.0518429\pi\)
\(4\) 1.34321 5.88499i 0.167901 0.735624i
\(5\) −14.6785 + 7.06881i −1.31289 + 0.632254i −0.953629 0.300984i \(-0.902685\pi\)
−0.359259 + 0.933238i \(0.616971\pi\)
\(6\) −10.8058 −0.735242
\(7\) 16.8292 0.908691 0.454346 0.890825i \(-0.349873\pi\)
0.454346 + 0.890825i \(0.349873\pi\)
\(8\) −17.7214 + 8.53416i −0.783181 + 0.377160i
\(9\) −7.22369 31.6490i −0.267544 1.17219i
\(10\) 20.5692 + 9.90558i 0.650454 + 0.313242i
\(11\) −3.70017 16.2115i −0.101422 0.444360i −0.999985 0.00551443i \(-0.998245\pi\)
0.898563 0.438845i \(-0.144612\pi\)
\(12\) −29.0219 36.3923i −0.698158 0.875463i
\(13\) 72.4170 34.8742i 1.54499 0.744028i 0.549199 0.835691i \(-0.314933\pi\)
0.995790 + 0.0916636i \(0.0292184\pi\)
\(14\) −14.7037 18.4379i −0.280695 0.351980i
\(15\) −27.9555 + 122.481i −0.481205 + 2.10830i
\(16\) −18.6753 8.99355i −0.291801 0.140524i
\(17\) 77.8953 + 37.5124i 1.11132 + 0.535182i 0.897199 0.441626i \(-0.145598\pi\)
0.214117 + 0.976808i \(0.431312\pi\)
\(18\) −28.3629 + 35.5660i −0.371400 + 0.465721i
\(19\) −29.9127 + 131.056i −0.361182 + 1.58244i 0.389018 + 0.921230i \(0.372814\pi\)
−0.750200 + 0.661211i \(0.770043\pi\)
\(20\) 21.8835 + 95.8779i 0.244665 + 1.07195i
\(21\) 80.9126 101.461i 0.840789 1.05432i
\(22\) −14.5283 + 18.2179i −0.140793 + 0.176549i
\(23\) −20.6519 90.4819i −0.187227 0.820295i −0.978070 0.208276i \(-0.933215\pi\)
0.790843 0.612019i \(-0.209642\pi\)
\(24\) −33.7506 + 147.871i −0.287055 + 1.25767i
\(25\) 87.5551 109.791i 0.700441 0.878325i
\(26\) −101.479 48.8695i −0.765446 0.368619i
\(27\) −37.9542 18.2778i −0.270529 0.130280i
\(28\) 22.6052 99.0397i 0.152571 0.668455i
\(29\) 30.9122 + 38.7627i 0.197940 + 0.248208i 0.870889 0.491480i \(-0.163544\pi\)
−0.672949 + 0.739689i \(0.734973\pi\)
\(30\) 158.613 76.3842i 0.965290 0.464859i
\(31\) −37.2757 46.7423i −0.215965 0.270812i 0.662034 0.749474i \(-0.269693\pi\)
−0.877999 + 0.478662i \(0.841122\pi\)
\(32\) 41.4779 + 181.727i 0.229135 + 1.00391i
\(33\) −115.527 55.6350i −0.609415 0.293479i
\(34\) −26.9591 118.116i −0.135984 0.595785i
\(35\) −247.028 + 118.962i −1.19301 + 0.574523i
\(36\) −195.957 −0.907209
\(37\) −128.973 −0.573053 −0.286526 0.958072i \(-0.592501\pi\)
−0.286526 + 0.958072i \(0.592501\pi\)
\(38\) 169.718 81.7321i 0.724525 0.348913i
\(39\) 137.919 604.264i 0.566276 2.48102i
\(40\) 199.797 250.538i 0.789768 0.990338i
\(41\) 152.540 + 191.279i 0.581043 + 0.728605i 0.982290 0.187365i \(-0.0599947\pi\)
−0.401248 + 0.915970i \(0.631423\pi\)
\(42\) −181.853 −0.668108
\(43\) −48.3873 + 277.787i −0.171605 + 0.985166i
\(44\) −100.375 −0.343911
\(45\) 329.754 + 413.499i 1.09237 + 1.36979i
\(46\) −81.0872 + 101.680i −0.259906 + 0.325911i
\(47\) −17.3079 + 75.8307i −0.0537151 + 0.235341i −0.994658 0.103223i \(-0.967084\pi\)
0.940943 + 0.338565i \(0.109941\pi\)
\(48\) −144.009 + 69.3512i −0.433041 + 0.208541i
\(49\) −59.7780 −0.174280
\(50\) −196.782 −0.556584
\(51\) 600.668 289.266i 1.64922 0.794223i
\(52\) −107.963 473.017i −0.287919 1.26145i
\(53\) −400.073 192.665i −1.03687 0.499332i −0.163582 0.986530i \(-0.552305\pi\)
−0.873292 + 0.487198i \(0.838019\pi\)
\(54\) 13.1357 + 57.5515i 0.0331028 + 0.145033i
\(55\) 168.909 + 211.806i 0.414104 + 0.519270i
\(56\) −298.236 + 143.623i −0.711670 + 0.342722i
\(57\) 646.306 + 810.442i 1.50185 + 1.88326i
\(58\) 15.4598 67.7340i 0.0349996 0.153343i
\(59\) −485.882 233.988i −1.07214 0.516317i −0.187346 0.982294i \(-0.559989\pi\)
−0.884797 + 0.465977i \(0.845703\pi\)
\(60\) 683.249 + 329.036i 1.47012 + 0.707972i
\(61\) 391.056 490.369i 0.820813 1.02927i −0.178162 0.984001i \(-0.557015\pi\)
0.998975 0.0452662i \(-0.0144136\pi\)
\(62\) −18.6424 + 81.6776i −0.0381869 + 0.167308i
\(63\) −121.569 532.628i −0.243115 1.06516i
\(64\) 59.4685 74.5712i 0.116149 0.145647i
\(65\) −816.457 + 1023.80i −1.55798 + 1.95365i
\(66\) 39.9834 + 175.179i 0.0745699 + 0.326712i
\(67\) −121.667 + 533.057i −0.221850 + 0.971989i 0.734234 + 0.678896i \(0.237541\pi\)
−0.956084 + 0.293092i \(0.905316\pi\)
\(68\) 325.390 408.026i 0.580284 0.727653i
\(69\) −644.796 310.517i −1.12499 0.541767i
\(70\) 346.162 + 166.703i 0.591062 + 0.284640i
\(71\) −50.5040 + 221.273i −0.0844186 + 0.369862i −0.999437 0.0335499i \(-0.989319\pi\)
0.915018 + 0.403412i \(0.132176\pi\)
\(72\) 398.112 + 499.216i 0.651637 + 0.817127i
\(73\) −663.422 + 319.487i −1.06367 + 0.512235i −0.882060 0.471137i \(-0.843844\pi\)
−0.181606 + 0.983371i \(0.558130\pi\)
\(74\) 112.683 + 141.301i 0.177016 + 0.221971i
\(75\) −240.961 1055.72i −0.370983 1.62538i
\(76\) 731.086 + 352.072i 1.10344 + 0.531388i
\(77\) −62.2710 272.827i −0.0921615 0.403786i
\(78\) −782.524 + 376.844i −1.13594 + 0.547040i
\(79\) 440.716 0.627651 0.313826 0.949481i \(-0.398389\pi\)
0.313826 + 0.949481i \(0.398389\pi\)
\(80\) 337.700 0.471950
\(81\) 497.025 239.355i 0.681791 0.328333i
\(82\) 76.2885 334.242i 0.102740 0.450132i
\(83\) −53.2813 + 66.8126i −0.0704624 + 0.0883571i −0.815814 0.578315i \(-0.803710\pi\)
0.745351 + 0.666672i \(0.232282\pi\)
\(84\) −488.415 612.454i −0.634411 0.795526i
\(85\) −1408.56 −1.79740
\(86\) 346.616 189.690i 0.434611 0.237847i
\(87\) 382.317 0.471134
\(88\) 203.924 + 255.713i 0.247027 + 0.309762i
\(89\) 550.122 689.831i 0.655200 0.821595i −0.337611 0.941286i \(-0.609619\pi\)
0.992811 + 0.119691i \(0.0381904\pi\)
\(90\) 164.917 722.549i 0.193153 0.846259i
\(91\) 1218.72 586.905i 1.40392 0.676092i
\(92\) −560.225 −0.634864
\(93\) −461.020 −0.514038
\(94\) 98.2010 47.2911i 0.107752 0.0518905i
\(95\) −487.337 2135.16i −0.526313 2.30593i
\(96\) 1295.03 + 623.653i 1.37681 + 0.663035i
\(97\) 1.55579 + 6.81635i 0.00162852 + 0.00713501i 0.975736 0.218952i \(-0.0702638\pi\)
−0.974107 + 0.226087i \(0.927407\pi\)
\(98\) 52.2281 + 65.4920i 0.0538351 + 0.0675071i
\(99\) −486.350 + 234.214i −0.493738 + 0.237772i
\(100\) −528.512 662.733i −0.528512 0.662733i
\(101\) −168.615 + 738.750i −0.166117 + 0.727805i 0.821408 + 0.570341i \(0.193189\pi\)
−0.987525 + 0.157464i \(0.949668\pi\)
\(102\) −841.721 405.351i −0.817086 0.393488i
\(103\) −646.749 311.458i −0.618700 0.297950i 0.0981564 0.995171i \(-0.468705\pi\)
−0.716857 + 0.697221i \(0.754420\pi\)
\(104\) −985.706 + 1236.04i −0.929389 + 1.16542i
\(105\) −470.468 + 2061.26i −0.437267 + 1.91579i
\(106\) 138.463 + 606.647i 0.126875 + 0.555875i
\(107\) 0.347739 0.436051i 0.000314180 0.000393969i −0.781674 0.623687i \(-0.785634\pi\)
0.781989 + 0.623293i \(0.214206\pi\)
\(108\) −158.545 + 198.809i −0.141259 + 0.177134i
\(109\) 268.156 + 1174.87i 0.235640 + 1.03240i 0.944875 + 0.327432i \(0.106183\pi\)
−0.709235 + 0.704972i \(0.750959\pi\)
\(110\) 84.4751 370.110i 0.0732217 0.320805i
\(111\) −620.083 + 777.559i −0.530231 + 0.664889i
\(112\) −314.290 151.354i −0.265157 0.127693i
\(113\) 1679.36 + 808.736i 1.39806 + 0.673270i 0.972767 0.231786i \(-0.0744570\pi\)
0.425292 + 0.905056i \(0.360171\pi\)
\(114\) 323.231 1416.17i 0.265556 1.16348i
\(115\) 942.739 + 1182.16i 0.764443 + 0.958581i
\(116\) 269.640 129.852i 0.215822 0.103935i
\(117\) −1626.85 2040.01i −1.28549 1.61196i
\(118\) 168.161 + 736.762i 0.131191 + 0.574784i
\(119\) 1310.92 + 631.304i 1.00984 + 0.486315i
\(120\) −549.863 2409.11i −0.418295 1.83267i
\(121\) 950.067 457.528i 0.713800 0.343748i
\(122\) −878.908 −0.652235
\(123\) 1886.59 1.38299
\(124\) −325.147 + 156.583i −0.235476 + 0.113399i
\(125\) −55.9292 + 245.042i −0.0400197 + 0.175338i
\(126\) −477.325 + 598.547i −0.337488 + 0.423197i
\(127\) −1547.04 1939.92i −1.08092 1.35544i −0.930281 0.366848i \(-0.880437\pi\)
−0.150644 0.988588i \(-0.548135\pi\)
\(128\) 1357.54 0.937431
\(129\) 1442.10 + 1627.28i 0.984265 + 1.11065i
\(130\) 1835.01 1.23801
\(131\) 600.223 + 752.656i 0.400319 + 0.501984i 0.940608 0.339496i \(-0.110256\pi\)
−0.540289 + 0.841480i \(0.681685\pi\)
\(132\) −482.589 + 605.147i −0.318212 + 0.399025i
\(133\) −503.408 + 2205.57i −0.328203 + 1.43795i
\(134\) 690.311 332.436i 0.445028 0.214314i
\(135\) 686.314 0.437545
\(136\) −1700.55 −1.07221
\(137\) 70.4394 33.9218i 0.0439273 0.0211543i −0.411791 0.911278i \(-0.635097\pi\)
0.455718 + 0.890124i \(0.349382\pi\)
\(138\) 223.160 + 977.730i 0.137657 + 0.603115i
\(139\) −1838.73 885.487i −1.12201 0.540331i −0.221496 0.975161i \(-0.571094\pi\)
−0.900512 + 0.434830i \(0.856808\pi\)
\(140\) 368.282 + 1613.55i 0.222325 + 0.974070i
\(141\) 373.960 + 468.931i 0.223355 + 0.280079i
\(142\) 286.549 137.995i 0.169343 0.0815511i
\(143\) −833.319 1044.95i −0.487312 0.611070i
\(144\) −149.733 + 656.021i −0.0866508 + 0.379642i
\(145\) −727.752 350.467i −0.416803 0.200722i
\(146\) 929.658 + 447.700i 0.526980 + 0.253780i
\(147\) −287.405 + 360.394i −0.161257 + 0.202210i
\(148\) −173.237 + 759.002i −0.0962163 + 0.421551i
\(149\) −74.8941 328.132i −0.0411783 0.180414i 0.950157 0.311773i \(-0.100923\pi\)
−0.991335 + 0.131359i \(0.958066\pi\)
\(150\) −946.103 + 1186.38i −0.514993 + 0.645781i
\(151\) 843.211 1057.35i 0.454434 0.569842i −0.500849 0.865535i \(-0.666979\pi\)
0.955283 + 0.295692i \(0.0955503\pi\)
\(152\) −588.361 2577.78i −0.313963 1.37556i
\(153\) 624.540 2736.29i 0.330007 1.44585i
\(154\) −244.499 + 306.593i −0.127937 + 0.160428i
\(155\) 877.565 + 422.613i 0.454760 + 0.219001i
\(156\) −3370.83 1623.31i −1.73002 0.833132i
\(157\) −197.376 + 864.759i −0.100333 + 0.439588i 0.899662 + 0.436586i \(0.143813\pi\)
−0.999995 + 0.00300170i \(0.999045\pi\)
\(158\) −385.054 482.843i −0.193882 0.243120i
\(159\) −3085.05 + 1485.68i −1.53875 + 0.741022i
\(160\) −1893.43 2374.28i −0.935554 1.17315i
\(161\) −347.555 1522.74i −0.170132 0.745395i
\(162\) −696.486 335.410i −0.337785 0.162669i
\(163\) 48.5252 + 212.603i 0.0233177 + 0.102162i 0.985248 0.171135i \(-0.0547433\pi\)
−0.961930 + 0.273296i \(0.911886\pi\)
\(164\) 1330.57 640.769i 0.633537 0.305095i
\(165\) 2089.04 0.985647
\(166\) 119.751 0.0559908
\(167\) 2492.94 1200.54i 1.15515 0.556289i 0.244571 0.969631i \(-0.421353\pi\)
0.910576 + 0.413342i \(0.135639\pi\)
\(168\) −567.996 + 2488.55i −0.260844 + 1.14283i
\(169\) 2658.21 3333.29i 1.20993 1.51720i
\(170\) 1230.66 + 1543.20i 0.555219 + 0.696222i
\(171\) 4363.89 1.95155
\(172\) 1569.78 + 657.886i 0.695899 + 0.291647i
\(173\) −2722.10 −1.19628 −0.598142 0.801390i \(-0.704094\pi\)
−0.598142 + 0.801390i \(0.704094\pi\)
\(174\) −334.031 418.862i −0.145533 0.182493i
\(175\) 1473.48 1847.69i 0.636485 0.798126i
\(176\) −76.6973 + 336.033i −0.0328481 + 0.143917i
\(177\) −3746.74 + 1804.34i −1.59109 + 0.766227i
\(178\) −1236.41 −0.520635
\(179\) −4376.37 −1.82741 −0.913703 0.406383i \(-0.866790\pi\)
−0.913703 + 0.406383i \(0.866790\pi\)
\(180\) 2876.36 1385.18i 1.19106 0.573586i
\(181\) 412.543 + 1807.47i 0.169415 + 0.742254i 0.986233 + 0.165360i \(0.0528784\pi\)
−0.816819 + 0.576894i \(0.804264\pi\)
\(182\) −1707.80 822.435i −0.695554 0.334961i
\(183\) −1076.23 4715.26i −0.434738 1.90471i
\(184\) 1138.17 + 1427.22i 0.456015 + 0.571825i
\(185\) 1893.13 911.682i 0.752354 0.362315i
\(186\) 402.794 + 505.088i 0.158787 + 0.199112i
\(187\) 319.907 1401.60i 0.125101 0.548104i
\(188\) 423.015 + 203.713i 0.164104 + 0.0790283i
\(189\) −638.739 307.600i −0.245828 0.118384i
\(190\) −1913.47 + 2399.41i −0.730619 + 0.916167i
\(191\) 252.867 1107.88i 0.0957950 0.419705i −0.904177 0.427157i \(-0.859515\pi\)
0.999972 + 0.00745222i \(0.00237214\pi\)
\(192\) −163.664 717.057i −0.0615177 0.269527i
\(193\) −1708.15 + 2141.96i −0.637075 + 0.798867i −0.990634 0.136545i \(-0.956400\pi\)
0.353559 + 0.935412i \(0.384972\pi\)
\(194\) 6.10861 7.65996i 0.00226068 0.00283481i
\(195\) 2246.97 + 9844.63i 0.825175 + 3.61533i
\(196\) −80.2945 + 351.793i −0.0292618 + 0.128204i
\(197\) 1784.99 2238.31i 0.645560 0.809507i −0.346126 0.938188i \(-0.612503\pi\)
0.991686 + 0.128681i \(0.0410745\pi\)
\(198\) 681.527 + 328.206i 0.244616 + 0.117801i
\(199\) 14.0497 + 6.76597i 0.00500480 + 0.00241018i 0.436384 0.899760i \(-0.356259\pi\)
−0.431380 + 0.902170i \(0.641973\pi\)
\(200\) −614.625 + 2692.85i −0.217303 + 0.952066i
\(201\) 2628.78 + 3296.38i 0.922485 + 1.15676i
\(202\) 956.684 460.714i 0.333228 0.160474i
\(203\) 520.228 + 652.345i 0.179866 + 0.225545i
\(204\) −895.507 3923.47i −0.307343 1.34656i
\(205\) −3591.18 1729.42i −1.22351 0.589210i
\(206\) 223.836 + 980.692i 0.0757060 + 0.331689i
\(207\) −2714.48 + 1307.23i −0.911447 + 0.438930i
\(208\) −1666.05 −0.555384
\(209\) 2235.31 0.739805
\(210\) 2669.34 1285.48i 0.877151 0.422414i
\(211\) −947.022 + 4149.17i −0.308984 + 1.35375i 0.547167 + 0.837023i \(0.315706\pi\)
−0.856151 + 0.516725i \(0.827151\pi\)
\(212\) −1671.22 + 2095.64i −0.541413 + 0.678911i
\(213\) 1091.21 + 1368.33i 0.351025 + 0.440172i
\(214\) −0.781553 −0.000249653
\(215\) −1253.37 4419.55i −0.397577 1.40191i
\(216\) 828.586 0.261010
\(217\) −627.321 786.635i −0.196246 0.246084i
\(218\) 1052.88 1320.27i 0.327111 0.410185i
\(219\) −1263.50 + 5535.74i −0.389859 + 1.70808i
\(220\) 1473.35 709.530i 0.451516 0.217439i
\(221\) 6949.16 2.11516
\(222\) 1393.65 0.421332
\(223\) −485.678 + 233.890i −0.145845 + 0.0702352i −0.505383 0.862895i \(-0.668649\pi\)
0.359538 + 0.933131i \(0.382934\pi\)
\(224\) 698.041 + 3058.32i 0.208213 + 0.912243i
\(225\) −4107.24 1977.94i −1.21696 0.586057i
\(226\) −581.217 2546.48i −0.171071 0.749509i
\(227\) −3736.04 4684.84i −1.09238 1.36980i −0.923248 0.384204i \(-0.874476\pi\)
−0.169129 0.985594i \(-0.554095\pi\)
\(228\) 5637.57 2714.91i 1.63753 0.788593i
\(229\) 1157.39 + 1451.32i 0.333984 + 0.418802i 0.920259 0.391309i \(-0.127978\pi\)
−0.586275 + 0.810112i \(0.699406\pi\)
\(230\) 471.484 2065.71i 0.135168 0.592211i
\(231\) −1944.23 936.292i −0.553771 0.266682i
\(232\) −878.613 423.118i −0.248637 0.119737i
\(233\) −1451.55 + 1820.19i −0.408130 + 0.511779i −0.942835 0.333260i \(-0.891851\pi\)
0.534705 + 0.845039i \(0.320423\pi\)
\(234\) −813.623 + 3564.72i −0.227300 + 0.995867i
\(235\) −281.979 1235.43i −0.0782735 0.342938i
\(236\) −2029.66 + 2545.12i −0.559829 + 0.702004i
\(237\) 2118.91 2657.02i 0.580750 0.728237i
\(238\) −453.701 1987.79i −0.123567 0.541384i
\(239\) 13.6992 60.0200i 0.00370764 0.0162442i −0.973040 0.230635i \(-0.925920\pi\)
0.976748 + 0.214391i \(0.0687767\pi\)
\(240\) 1623.62 2035.95i 0.436683 0.547583i
\(241\) −1834.95 883.666i −0.490455 0.236191i 0.172275 0.985049i \(-0.444888\pi\)
−0.662730 + 0.748858i \(0.730602\pi\)
\(242\) −1331.34 641.138i −0.353643 0.170305i
\(243\) 1199.69 5256.18i 0.316708 1.38759i
\(244\) −2360.55 2960.03i −0.619338 0.776625i
\(245\) 877.454 422.559i 0.228810 0.110189i
\(246\) −1648.32 2066.93i −0.427207 0.535701i
\(247\) 2404.29 + 10533.9i 0.619358 + 2.71358i
\(248\) 1059.48 + 510.220i 0.271279 + 0.130641i
\(249\) 146.636 + 642.453i 0.0373199 + 0.163509i
\(250\) 317.330 152.818i 0.0802789 0.0386603i
\(251\) 3260.59 0.819946 0.409973 0.912098i \(-0.365538\pi\)
0.409973 + 0.912098i \(0.365538\pi\)
\(252\) −3297.80 −0.824373
\(253\) −1390.43 + 669.598i −0.345517 + 0.166392i
\(254\) −773.706 + 3389.83i −0.191129 + 0.837389i
\(255\) −6772.16 + 8492.01i −1.66309 + 2.08545i
\(256\) −1661.84 2083.88i −0.405722 0.508759i
\(257\) −2352.03 −0.570878 −0.285439 0.958397i \(-0.592139\pi\)
−0.285439 + 0.958397i \(0.592139\pi\)
\(258\) 522.864 3001.71i 0.126171 0.724335i
\(259\) −2170.50 −0.520728
\(260\) 4928.40 + 6180.02i 1.17556 + 1.47411i
\(261\) 1003.50 1258.35i 0.237989 0.298429i
\(262\) 300.184 1315.19i 0.0707842 0.310126i
\(263\) −1671.09 + 804.753i −0.391801 + 0.188681i −0.619404 0.785073i \(-0.712626\pi\)
0.227603 + 0.973754i \(0.426911\pi\)
\(264\) 2522.10 0.587971
\(265\) 7234.41 1.67700
\(266\) 2856.23 1375.49i 0.658370 0.317054i
\(267\) −1513.99 6633.23i −0.347022 1.52040i
\(268\) 2973.61 + 1432.02i 0.677769 + 0.326396i
\(269\) −1641.80 7193.19i −0.372127 1.63040i −0.720795 0.693149i \(-0.756223\pi\)
0.348667 0.937246i \(-0.386634\pi\)
\(270\) −599.634 751.917i −0.135158 0.169482i
\(271\) −215.740 + 103.895i −0.0483589 + 0.0232884i −0.457907 0.889000i \(-0.651401\pi\)
0.409548 + 0.912289i \(0.365686\pi\)
\(272\) −1117.35 1401.11i −0.249078 0.312334i
\(273\) 2321.07 10169.3i 0.514570 2.25448i
\(274\) −98.7073 47.5349i −0.0217632 0.0104806i
\(275\) −2103.84 1013.16i −0.461333 0.222166i
\(276\) −2693.49 + 3377.53i −0.587424 + 0.736606i
\(277\) −1023.69 + 4485.08i −0.222049 + 0.972861i 0.733884 + 0.679275i \(0.237706\pi\)
−0.955933 + 0.293585i \(0.905151\pi\)
\(278\) 636.375 + 2788.14i 0.137292 + 0.601517i
\(279\) −1210.08 + 1517.39i −0.259662 + 0.325605i
\(280\) 3362.43 4216.35i 0.717656 0.899912i
\(281\) −748.559 3279.65i −0.158916 0.696255i −0.990112 0.140276i \(-0.955201\pi\)
0.831197 0.555978i \(-0.187656\pi\)
\(282\) 187.025 819.411i 0.0394936 0.173033i
\(283\) 1737.60 2178.89i 0.364982 0.457673i −0.565101 0.825021i \(-0.691163\pi\)
0.930083 + 0.367349i \(0.119734\pi\)
\(284\) 1234.35 + 594.431i 0.257905 + 0.124201i
\(285\) −15215.7 7327.49i −3.16245 1.52296i
\(286\) −416.761 + 1825.95i −0.0861664 + 0.377519i
\(287\) 2567.13 + 3219.08i 0.527989 + 0.662077i
\(288\) 5451.85 2625.47i 1.11546 0.537179i
\(289\) 1597.29 + 2002.94i 0.325115 + 0.407681i
\(290\) 251.871 + 1103.52i 0.0510013 + 0.223451i
\(291\) 48.5750 + 23.3925i 0.00978527 + 0.00471234i
\(292\) 989.063 + 4333.37i 0.198221 + 0.868463i
\(293\) −1395.48 + 672.029i −0.278242 + 0.133994i −0.567801 0.823166i \(-0.692206\pi\)
0.289559 + 0.957160i \(0.406491\pi\)
\(294\) 645.949 0.128138
\(295\) 8786.06 1.73405
\(296\) 2285.57 1100.67i 0.448804 0.216133i
\(297\) −155.874 + 682.927i −0.0304535 + 0.133426i
\(298\) −294.063 + 368.743i −0.0571630 + 0.0716802i
\(299\) −4651.03 5832.21i −0.899586 1.12805i
\(300\) −6536.55 −1.25796
\(301\) −814.320 + 4674.93i −0.155936 + 0.895212i
\(302\) −1895.14 −0.361102
\(303\) 3643.15 + 4568.37i 0.690738 + 0.866158i
\(304\) 1737.29 2178.49i 0.327765 0.411004i
\(305\) −2273.81 + 9962.20i −0.426878 + 1.87028i
\(306\) −3543.50 + 1706.46i −0.661989 + 0.318797i
\(307\) 702.537 0.130605 0.0653027 0.997865i \(-0.479199\pi\)
0.0653027 + 0.997865i \(0.479199\pi\)
\(308\) −1689.23 −0.312509
\(309\) −4987.23 + 2401.72i −0.918167 + 0.442166i
\(310\) −303.721 1330.69i −0.0556457 0.243800i
\(311\) 4576.00 + 2203.69i 0.834345 + 0.401800i 0.801743 0.597669i \(-0.203906\pi\)
0.0326023 + 0.999468i \(0.489621\pi\)
\(312\) 2712.77 + 11885.4i 0.492244 + 2.15666i
\(313\) −3237.12 4059.22i −0.584578 0.733037i 0.398308 0.917252i \(-0.369597\pi\)
−0.982886 + 0.184214i \(0.941026\pi\)
\(314\) 1119.87 539.299i 0.201267 0.0969249i
\(315\) 5549.50 + 6958.85i 0.992631 + 1.24472i
\(316\) 591.975 2593.61i 0.105383 0.461715i
\(317\) −333.269 160.494i −0.0590481 0.0284361i 0.404127 0.914703i \(-0.367575\pi\)
−0.463175 + 0.886267i \(0.653290\pi\)
\(318\) 4323.11 + 2081.90i 0.762353 + 0.367130i
\(319\) 514.021 644.562i 0.0902184 0.113130i
\(320\) −345.781 + 1514.97i −0.0604055 + 0.264654i
\(321\) −0.957015 4.19295i −0.000166403 0.000729059i
\(322\) −1364.63 + 1711.20i −0.236174 + 0.296153i
\(323\) −7246.30 + 9086.57i −1.24828 + 1.56529i
\(324\) −740.991 3246.49i −0.127056 0.556669i
\(325\) 2511.62 11004.1i 0.428676 1.87815i
\(326\) 190.528 238.915i 0.0323693 0.0405898i
\(327\) 8372.40 + 4031.94i 1.41589 + 0.681855i
\(328\) −4335.63 2087.93i −0.729863 0.351483i
\(329\) −291.277 + 1276.17i −0.0488105 + 0.213853i
\(330\) −1825.20 2288.73i −0.304467 0.381789i
\(331\) 5084.57 2448.60i 0.844329 0.406608i 0.0388598 0.999245i \(-0.487627\pi\)
0.805470 + 0.592637i \(0.201913\pi\)
\(332\) 321.624 + 403.303i 0.0531669 + 0.0666691i
\(333\) 931.657 + 4081.86i 0.153317 + 0.671725i
\(334\) −3493.38 1682.32i −0.572303 0.275607i
\(335\) −1982.19 8684.53i −0.323279 1.41638i
\(336\) −2423.56 + 1167.13i −0.393500 + 0.189500i
\(337\) 11132.1 1.79942 0.899711 0.436486i \(-0.143777\pi\)
0.899711 + 0.436486i \(0.143777\pi\)
\(338\) −5974.38 −0.961431
\(339\) 12949.9 6236.34i 2.07476 0.999149i
\(340\) −1891.99 + 8289.34i −0.301787 + 1.32221i
\(341\) −619.837 + 777.251i −0.0984342 + 0.123433i
\(342\) −3812.73 4781.02i −0.602833 0.755929i
\(343\) −6778.43 −1.06706
\(344\) −1513.19 5335.71i −0.237168 0.836286i
\(345\) 11659.6 1.81952
\(346\) 2378.30 + 2982.29i 0.369532 + 0.463379i
\(347\) −7173.49 + 8995.27i −1.10978 + 1.39162i −0.198363 + 0.980129i \(0.563562\pi\)
−0.911415 + 0.411489i \(0.865009\pi\)
\(348\) 513.532 2249.93i 0.0791041 0.346578i
\(349\) −2576.94 + 1240.99i −0.395245 + 0.190340i −0.620940 0.783858i \(-0.713249\pi\)
0.225695 + 0.974198i \(0.427535\pi\)
\(350\) −3311.69 −0.505763
\(351\) −3385.95 −0.514897
\(352\) 2792.59 1344.84i 0.422857 0.203637i
\(353\) 2682.46 + 11752.6i 0.404456 + 1.77204i 0.608989 + 0.793178i \(0.291575\pi\)
−0.204533 + 0.978860i \(0.565568\pi\)
\(354\) 5250.34 + 2528.43i 0.788284 + 0.379618i
\(355\) −822.809 3604.96i −0.123014 0.538962i
\(356\) −3320.72 4164.05i −0.494376 0.619927i
\(357\) 10108.8 4868.12i 1.49863 0.721704i
\(358\) 3823.64 + 4794.70i 0.564486 + 0.707843i
\(359\) 332.895 1458.51i 0.0489402 0.214421i −0.944545 0.328382i \(-0.893497\pi\)
0.993485 + 0.113961i \(0.0363539\pi\)
\(360\) −9372.56 4513.59i −1.37216 0.660797i
\(361\) −10101.2 4864.50i −1.47270 0.709214i
\(362\) 1619.80 2031.16i 0.235179 0.294905i
\(363\) 1809.42 7927.57i 0.261625 1.14625i
\(364\) −1816.93 7960.49i −0.261629 1.14627i
\(365\) 7479.66 9379.20i 1.07261 1.34501i
\(366\) −4225.68 + 5298.83i −0.603496 + 0.756760i
\(367\) 1659.50 + 7270.76i 0.236036 + 1.03414i 0.944530 + 0.328426i \(0.106518\pi\)
−0.708493 + 0.705717i \(0.750625\pi\)
\(368\) −428.073 + 1875.51i −0.0606382 + 0.265673i
\(369\) 4951.90 6209.49i 0.698606 0.876024i
\(370\) −2652.86 1277.55i −0.372744 0.179504i
\(371\) −6732.92 3242.40i −0.942198 0.453739i
\(372\) −619.247 + 2713.10i −0.0863077 + 0.378139i
\(373\) 4481.76 + 5619.95i 0.622137 + 0.780135i 0.988643 0.150281i \(-0.0480178\pi\)
−0.366507 + 0.930415i \(0.619446\pi\)
\(374\) −1815.08 + 874.098i −0.250951 + 0.120852i
\(375\) 1208.43 + 1515.32i 0.166408 + 0.208669i
\(376\) −340.432 1491.53i −0.0466927 0.204574i
\(377\) 3590.39 + 1729.04i 0.490489 + 0.236207i
\(378\) 221.064 + 968.545i 0.0300802 + 0.131790i
\(379\) −7406.19 + 3566.63i −1.00377 + 0.483392i −0.862218 0.506538i \(-0.830925\pi\)
−0.141556 + 0.989930i \(0.545211\pi\)
\(380\) −13220.0 −1.78466
\(381\) −19133.5 −2.57281
\(382\) −1434.71 + 690.922i −0.192163 + 0.0925410i
\(383\) 1371.30 6008.06i 0.182951 0.801560i −0.797265 0.603629i \(-0.793721\pi\)
0.980216 0.197931i \(-0.0634221\pi\)
\(384\) 6526.90 8184.47i 0.867381 1.08766i
\(385\) 2842.61 + 3564.52i 0.376293 + 0.471856i
\(386\) 3839.11 0.506233
\(387\) 9141.23 475.234i 1.20071 0.0624225i
\(388\) 42.2039 0.00552211
\(389\) −2946.64 3694.98i −0.384064 0.481601i 0.551793 0.833981i \(-0.313944\pi\)
−0.935857 + 0.352380i \(0.885372\pi\)
\(390\) 8822.47 11063.0i 1.14549 1.43641i
\(391\) 1785.51 7822.82i 0.230939 1.01181i
\(392\) 1059.35 510.155i 0.136493 0.0657315i
\(393\) 7423.46 0.952835
\(394\) −4011.81 −0.512975
\(395\) −6469.07 + 3115.34i −0.824036 + 0.396835i
\(396\) 725.076 + 3176.77i 0.0920112 + 0.403127i
\(397\) −10940.6 5268.73i −1.38311 0.666070i −0.413448 0.910528i \(-0.635676\pi\)
−0.969660 + 0.244458i \(0.921390\pi\)
\(398\) −4.86252 21.3041i −0.000612402 0.00268311i
\(399\) 10876.8 + 13639.1i 1.36472 + 1.71130i
\(400\) −2622.52 + 1262.94i −0.327815 + 0.157868i
\(401\) −2628.51 3296.05i −0.327336 0.410466i 0.590746 0.806858i \(-0.298834\pi\)
−0.918082 + 0.396391i \(0.870262\pi\)
\(402\) 1314.71 5760.11i 0.163113 0.714647i
\(403\) −4329.50 2084.98i −0.535155 0.257717i
\(404\) 4121.05 + 1984.59i 0.507500 + 0.244399i
\(405\) −5603.65 + 7026.76i −0.687525 + 0.862129i
\(406\) 260.177 1139.91i 0.0318038 0.139342i
\(407\) 477.221 + 2090.84i 0.0581203 + 0.254642i
\(408\) −8176.01 + 10252.4i −0.992090 + 1.24404i
\(409\) 149.590 187.580i 0.0180850 0.0226779i −0.772707 0.634763i \(-0.781098\pi\)
0.790792 + 0.612085i \(0.209669\pi\)
\(410\) 1242.89 + 5445.45i 0.149712 + 0.655931i
\(411\) 134.153 587.762i 0.0161004 0.0705405i
\(412\) −2701.65 + 3387.76i −0.323060 + 0.405104i
\(413\) −8177.01 3937.84i −0.974247 0.469173i
\(414\) 3803.83 + 1831.83i 0.451565 + 0.217462i
\(415\) 309.806 1357.35i 0.0366452 0.160553i
\(416\) 9341.28 + 11713.6i 1.10095 + 1.38054i
\(417\) −14178.9 + 6828.18i −1.66509 + 0.801865i
\(418\) −1952.99 2448.97i −0.228526 0.286562i
\(419\) 7.00489 + 30.6905i 0.000816734 + 0.00357835i 0.975335 0.220731i \(-0.0708444\pi\)
−0.974518 + 0.224310i \(0.927987\pi\)
\(420\) 11498.5 + 5537.41i 1.33588 + 0.643328i
\(421\) −209.339 917.176i −0.0242342 0.106177i 0.961364 0.275279i \(-0.0887703\pi\)
−0.985598 + 0.169102i \(0.945913\pi\)
\(422\) 5373.20 2587.60i 0.619818 0.298489i
\(423\) 2524.99 0.290235
\(424\) 8734.08 1.00039
\(425\) 10938.6 5267.77i 1.24848 0.601234i
\(426\) 545.736 2391.03i 0.0620681 0.271938i
\(427\) 6581.16 8252.52i 0.745866 0.935286i
\(428\) −2.09907 2.63215i −0.000237062 0.000297266i
\(429\) −10306.4 −1.15990
\(430\) −3746.93 + 5234.54i −0.420216 + 0.587051i
\(431\) 2818.53 0.314997 0.157499 0.987519i \(-0.449657\pi\)
0.157499 + 0.987519i \(0.449657\pi\)
\(432\) 544.424 + 682.686i 0.0606333 + 0.0760318i
\(433\) 9279.84 11636.6i 1.02993 1.29149i 0.0742042 0.997243i \(-0.476358\pi\)
0.955728 0.294251i \(-0.0950702\pi\)
\(434\) −313.736 + 1374.57i −0.0347001 + 0.152031i
\(435\) −5611.85 + 2702.53i −0.618547 + 0.297876i
\(436\) 7274.29 0.799026
\(437\) 12476.0 1.36569
\(438\) 7168.80 3452.31i 0.782052 0.376616i
\(439\) −809.577 3546.99i −0.0880159 0.385623i 0.911664 0.410937i \(-0.134798\pi\)
−0.999680 + 0.0253143i \(0.991941\pi\)
\(440\) −4800.89 2311.99i −0.520167 0.250499i
\(441\) 431.818 + 1891.92i 0.0466275 + 0.204289i
\(442\) −6071.49 7613.41i −0.653374 0.819305i
\(443\) −5167.64 + 2488.60i −0.554226 + 0.266901i −0.689964 0.723844i \(-0.742374\pi\)
0.135738 + 0.990745i \(0.456659\pi\)
\(444\) 3743.03 + 4693.61i 0.400082 + 0.501686i
\(445\) −3198.70 + 14014.4i −0.340748 + 1.49291i
\(446\) 680.585 + 327.752i 0.0722570 + 0.0347971i
\(447\) −2338.35 1126.09i −0.247428 0.119155i
\(448\) 1000.81 1254.97i 0.105544 0.132348i
\(449\) −3037.70 + 13309.0i −0.319283 + 1.39887i 0.519532 + 0.854451i \(0.326106\pi\)
−0.838815 + 0.544417i \(0.816751\pi\)
\(450\) 1421.49 + 6227.97i 0.148911 + 0.652420i
\(451\) 2536.50 3180.67i 0.264832 0.332089i
\(452\) 7015.14 8796.70i 0.730009 0.915403i
\(453\) −2320.60 10167.2i −0.240688 1.05452i
\(454\) −1868.47 + 8186.31i −0.193154 + 0.846261i
\(455\) −13740.3 + 17229.8i −1.41573 + 1.77527i
\(456\) −18369.9 8846.46i −1.88651 0.908494i
\(457\) 16266.8 + 7833.70i 1.66506 + 0.801849i 0.998404 + 0.0564816i \(0.0179882\pi\)
0.666654 + 0.745368i \(0.267726\pi\)
\(458\) 578.834 2536.04i 0.0590548 0.258736i
\(459\) −2270.81 2847.51i −0.230920 0.289565i
\(460\) 8223.29 3960.13i 0.833506 0.401395i
\(461\) −4831.33 6058.30i −0.488107 0.612067i 0.475393 0.879773i \(-0.342306\pi\)
−0.963501 + 0.267706i \(0.913734\pi\)
\(462\) 672.888 + 2948.11i 0.0677610 + 0.296880i
\(463\) 5343.01 + 2573.06i 0.536308 + 0.258272i 0.682375 0.731002i \(-0.260947\pi\)
−0.146067 + 0.989275i \(0.546661\pi\)
\(464\) −228.680 1001.91i −0.0228798 0.100243i
\(465\) 6767.10 3258.86i 0.674875 0.325003i
\(466\) 3262.40 0.324308
\(467\) −3326.65 −0.329634 −0.164817 0.986324i \(-0.552703\pi\)
−0.164817 + 0.986324i \(0.552703\pi\)
\(468\) −14190.6 + 6833.85i −1.40163 + 0.674989i
\(469\) −2047.55 + 8970.92i −0.201593 + 0.883238i
\(470\) −1107.16 + 1388.33i −0.108658 + 0.136253i
\(471\) 4264.57 + 5347.60i 0.417200 + 0.523152i
\(472\) 10607.4 1.03442
\(473\) 4682.39 243.428i 0.455173 0.0236635i
\(474\) −4762.29 −0.461475
\(475\) 11769.7 + 14758.8i 1.13691 + 1.42564i
\(476\) 5476.05 6866.75i 0.527299 0.661212i
\(477\) −3207.66 + 14053.7i −0.307901 + 1.34900i
\(478\) −77.7261 + 37.4309i −0.00743746 + 0.00358169i
\(479\) −3999.59 −0.381516 −0.190758 0.981637i \(-0.561094\pi\)
−0.190758 + 0.981637i \(0.561094\pi\)
\(480\) −23417.6 −2.22680
\(481\) −9339.80 + 4497.81i −0.885360 + 0.426367i
\(482\) 635.067 + 2782.41i 0.0600135 + 0.262936i
\(483\) −10851.4 5225.76i −1.02227 0.492299i
\(484\) −1416.41 6205.69i −0.133021 0.582804i
\(485\) −71.0202 89.0565i −0.00664920 0.00833783i
\(486\) −6806.77 + 3277.97i −0.635311 + 0.305950i
\(487\) −11045.1 13850.1i −1.02772 1.28872i −0.956646 0.291254i \(-0.905928\pi\)
−0.0710774 0.997471i \(-0.522644\pi\)
\(488\) −2745.16 + 12027.3i −0.254647 + 1.11568i
\(489\) 1515.06 + 729.614i 0.140109 + 0.0674730i
\(490\) −1229.58 592.136i −0.113361 0.0545918i
\(491\) 3960.14 4965.86i 0.363989 0.456428i −0.565788 0.824551i \(-0.691428\pi\)
0.929777 + 0.368123i \(0.119999\pi\)
\(492\) 2534.09 11102.6i 0.232206 1.01736i
\(493\) 953.834 + 4179.02i 0.0871370 + 0.381772i
\(494\) 9440.16 11837.6i 0.859783 1.07813i
\(495\) 5483.29 6875.83i 0.497890 0.624335i
\(496\) 275.756 + 1208.17i 0.0249633 + 0.109372i
\(497\) −849.942 + 3723.84i −0.0767105 + 0.336091i
\(498\) 575.747 721.964i 0.0518069 0.0649638i
\(499\) −5041.62 2427.92i −0.452293 0.217813i 0.193847 0.981032i \(-0.437903\pi\)
−0.646140 + 0.763219i \(0.723618\pi\)
\(500\) 1366.94 + 658.286i 0.122263 + 0.0588789i
\(501\) 4747.84 20801.7i 0.423389 1.85499i
\(502\) −2848.78 3572.26i −0.253281 0.317605i
\(503\) −5603.29 + 2698.40i −0.496696 + 0.239196i −0.665423 0.746467i \(-0.731749\pi\)
0.168727 + 0.985663i \(0.446034\pi\)
\(504\) 6699.90 + 8401.41i 0.592137 + 0.742517i
\(505\) −2747.06 12035.7i −0.242065 1.06055i
\(506\) 1948.43 + 938.313i 0.171182 + 0.0824370i
\(507\) −7315.66 32052.0i −0.640828 2.80765i
\(508\) −13494.4 + 6498.58i −1.17858 + 0.567574i
\(509\) 18178.1 1.58297 0.791485 0.611188i \(-0.209308\pi\)
0.791485 + 0.611188i \(0.209308\pi\)
\(510\) 15220.6 1.32153
\(511\) −11164.9 + 5376.71i −0.966544 + 0.465463i
\(512\) 1585.54 6946.69i 0.136858 0.599616i
\(513\) 3530.73 4427.40i 0.303871 0.381042i
\(514\) 2054.97 + 2576.85i 0.176344 + 0.221129i
\(515\) 11695.0 1.00066
\(516\) 11513.6 6300.98i 0.982283 0.537568i
\(517\) 1293.37 0.110024
\(518\) 1896.37 + 2377.98i 0.160853 + 0.201703i
\(519\) −13087.5 + 16411.2i −1.10689 + 1.38800i
\(520\) 5731.42 25111.0i 0.483345 2.11767i
\(521\) 12977.7 6249.72i 1.09129 0.525538i 0.200380 0.979718i \(-0.435782\pi\)
0.890910 + 0.454181i \(0.150068\pi\)
\(522\) −2255.39 −0.189111
\(523\) −4841.59 −0.404796 −0.202398 0.979303i \(-0.564873\pi\)
−0.202398 + 0.979303i \(0.564873\pi\)
\(524\) 5235.60 2521.33i 0.436485 0.210200i
\(525\) −4055.18 17766.9i −0.337109 1.47697i
\(526\) 2341.71 + 1127.71i 0.194113 + 0.0934798i
\(527\) −1150.19 5039.31i −0.0950721 0.416538i
\(528\) 1657.15 + 2078.00i 0.136587 + 0.171275i
\(529\) 3201.61 1541.81i 0.263139 0.126721i
\(530\) −6320.71 7925.92i −0.518027 0.649585i
\(531\) −3895.65 + 17068.0i −0.318374 + 1.39489i
\(532\) 12303.6 + 5925.10i 1.00269 + 0.482868i
\(533\) 17717.2 + 8532.16i 1.43981 + 0.693375i
\(534\) −5944.51 + 7454.17i −0.481730 + 0.604071i
\(535\) −2.02194 + 8.85870i −0.000163395 + 0.000715878i
\(536\) −2393.09 10484.8i −0.192847 0.844916i
\(537\) −21041.0 + 26384.6i −1.69085 + 2.12026i
\(538\) −6446.32 + 8083.43i −0.516581 + 0.647772i
\(539\) 221.189 + 969.093i 0.0176759 + 0.0774430i
\(540\) 921.865 4038.95i 0.0734643 0.321868i
\(541\) −5375.13 + 6740.20i −0.427163 + 0.535645i −0.948109 0.317944i \(-0.897008\pi\)
0.520947 + 0.853589i \(0.325579\pi\)
\(542\) 302.318 + 145.589i 0.0239588 + 0.0115379i
\(543\) 12880.4 + 6202.89i 1.01796 + 0.490224i
\(544\) −3586.07 + 15711.6i −0.282631 + 1.23829i
\(545\) −12241.1 15349.8i −0.962110 1.20645i
\(546\) −13169.2 + 6341.98i −1.03222 + 0.497091i
\(547\) −5034.63 6313.23i −0.393538 0.493481i 0.545107 0.838367i \(-0.316489\pi\)
−0.938645 + 0.344886i \(0.887918\pi\)
\(548\) −105.015 460.099i −0.00818614 0.0358658i
\(549\) −18344.6 8834.28i −1.42610 0.686772i
\(550\) 728.129 + 3190.14i 0.0564500 + 0.247324i
\(551\) −6004.76 + 2891.74i −0.464268 + 0.223579i
\(552\) 14076.7 1.08540
\(553\) 7416.90 0.570341
\(554\) 5808.20 2797.08i 0.445427 0.214506i
\(555\) 3605.49 15796.7i 0.275756 1.20817i
\(556\) −7680.88 + 9631.52i −0.585867 + 0.734654i
\(557\) 3189.39 + 3999.37i 0.242619 + 0.304235i 0.888200 0.459457i \(-0.151956\pi\)
−0.645581 + 0.763692i \(0.723385\pi\)
\(558\) 2719.68 0.206332
\(559\) 6183.54 + 21804.0i 0.467863 + 1.64975i
\(560\) 5683.21 0.428856
\(561\) −6912.03 8667.41i −0.520189 0.652296i
\(562\) −2939.13 + 3685.55i −0.220604 + 0.276629i
\(563\) 957.517 4195.16i 0.0716777 0.314041i −0.926361 0.376636i \(-0.877081\pi\)
0.998039 + 0.0625956i \(0.0199378\pi\)
\(564\) 3261.96 1570.88i 0.243534 0.117280i
\(565\) −30367.3 −2.26117
\(566\) −3905.31 −0.290022
\(567\) 8364.54 4028.15i 0.619537 0.298353i
\(568\) −993.375 4352.26i −0.0733822 0.321508i
\(569\) 20232.7 + 9743.55i 1.49068 + 0.717875i 0.989101 0.147236i \(-0.0470375\pi\)
0.501581 + 0.865111i \(0.332752\pi\)
\(570\) 5266.06 + 23072.1i 0.386967 + 1.69541i
\(571\) 1254.92 + 1573.61i 0.0919730 + 0.115330i 0.825688 0.564126i \(-0.190787\pi\)
−0.733715 + 0.679457i \(0.762215\pi\)
\(572\) −7268.84 + 3500.49i −0.531338 + 0.255879i
\(573\) −5463.54 6851.07i −0.398330 0.499490i
\(574\) 1283.87 5625.02i 0.0933587 0.409031i
\(575\) −11742.2 5654.77i −0.851627 0.410122i
\(576\) −2789.69 1343.44i −0.201800 0.0971819i
\(577\) −4279.56 + 5366.40i −0.308770 + 0.387186i −0.911869 0.410480i \(-0.865361\pi\)
0.603099 + 0.797666i \(0.293932\pi\)
\(578\) 798.839 3499.94i 0.0574867 0.251866i
\(579\) 4701.01 + 20596.5i 0.337422 + 1.47834i
\(580\) −3040.02 + 3812.06i −0.217638 + 0.272909i
\(581\) −896.682 + 1124.40i −0.0640286 + 0.0802893i
\(582\) −16.8115 73.6561i −0.00119735 0.00524595i
\(583\) −1643.06 + 7198.70i −0.116721 + 0.511389i
\(584\) 9030.18 11323.5i 0.639849 0.802345i
\(585\) 38300.2 + 18444.4i 2.70687 + 1.30356i
\(586\) 1955.50 + 941.720i 0.137852 + 0.0663858i
\(587\) 3847.54 16857.2i 0.270537 1.18530i −0.638845 0.769336i \(-0.720587\pi\)
0.909381 0.415963i \(-0.136556\pi\)
\(588\) 1734.87 + 2175.46i 0.121675 + 0.152576i
\(589\) 7240.89 3487.03i 0.506546 0.243940i
\(590\) −7676.39 9625.89i −0.535647 0.671681i
\(591\) −4912.48 21523.0i −0.341916 1.49803i
\(592\) 2408.60 + 1159.92i 0.167218 + 0.0805278i
\(593\) 982.122 + 4302.96i 0.0680116 + 0.297978i 0.997482 0.0709180i \(-0.0225928\pi\)
−0.929471 + 0.368896i \(0.879736\pi\)
\(594\) 884.393 425.901i 0.0610893 0.0294191i
\(595\) −23704.9 −1.63329
\(596\) −2031.65 −0.139631
\(597\) 108.340 52.1739i 0.00742725 0.00357677i
\(598\) −2326.08 + 10191.2i −0.159064 + 0.696907i
\(599\) 8790.80 11023.3i 0.599637 0.751921i −0.385685 0.922631i \(-0.626035\pi\)
0.985321 + 0.170710i \(0.0546061\pi\)
\(600\) 13279.8 + 16652.4i 0.903577 + 1.13305i
\(601\) 3049.05 0.206944 0.103472 0.994632i \(-0.467005\pi\)
0.103472 + 0.994632i \(0.467005\pi\)
\(602\) 5833.27 3192.34i 0.394928 0.216130i
\(603\) 17749.6 1.19871
\(604\) −5089.91 6382.54i −0.342890 0.429970i
\(605\) −10711.4 + 13431.7i −0.719803 + 0.902605i
\(606\) 1822.02 7982.78i 0.122136 0.535113i
\(607\) 21857.1 10525.8i 1.46154 0.703839i 0.476981 0.878914i \(-0.341731\pi\)
0.984555 + 0.175075i \(0.0560168\pi\)
\(608\) −25057.2 −1.67138
\(609\) 6434.09 0.428116
\(610\) 12901.1 6212.84i 0.856311 0.412378i
\(611\) 1391.15 + 6095.03i 0.0921112 + 0.403566i
\(612\) −15264.1 7350.82i −1.00820 0.485522i
\(613\) −3829.10 16776.4i −0.252293 1.10537i −0.929281 0.369374i \(-0.879572\pi\)
0.676988 0.735994i \(-0.263285\pi\)
\(614\) −613.807 769.690i −0.0403440 0.0505898i
\(615\) −27692.4 + 13336.0i −1.81572 + 0.874403i
\(616\) 3431.88 + 4303.44i 0.224471 + 0.281478i
\(617\) −4038.69 + 17694.6i −0.263519 + 1.15455i 0.653884 + 0.756595i \(0.273139\pi\)
−0.917403 + 0.397959i \(0.869719\pi\)
\(618\) 6988.65 + 3365.55i 0.454894 + 0.219065i
\(619\) 1666.48 + 802.533i 0.108209 + 0.0521107i 0.487205 0.873288i \(-0.338016\pi\)
−0.378996 + 0.925398i \(0.623731\pi\)
\(620\) 3665.83 4596.81i 0.237457 0.297762i
\(621\) −869.982 + 3811.64i −0.0562177 + 0.246306i
\(622\) −1583.73 6938.78i −0.102093 0.447298i
\(623\) 9258.11 11609.3i 0.595374 0.746576i
\(624\) −8010.16 + 10044.4i −0.513883 + 0.644389i
\(625\) 2994.81 + 13121.1i 0.191668 + 0.839752i
\(626\) −1618.95 + 7093.10i −0.103365 + 0.452871i
\(627\) 10747.1 13476.4i 0.684523 0.858365i
\(628\) 4823.98 + 2323.11i 0.306525 + 0.147615i
\(629\) −10046.4 4838.07i −0.636843 0.306687i
\(630\) 2775.42 12159.9i 0.175517 0.768988i
\(631\) −8183.73 10262.1i −0.516306 0.647427i 0.453514 0.891249i \(-0.350170\pi\)
−0.969820 + 0.243822i \(0.921599\pi\)
\(632\) −7810.09 + 3761.14i −0.491565 + 0.236725i
\(633\) 20461.7 + 25658.2i 1.28480 + 1.61109i
\(634\) 115.343 + 505.349i 0.00722530 + 0.0316561i
\(635\) 36421.2 + 17539.5i 2.27611 + 1.09612i
\(636\) 4599.36 + 20151.1i 0.286755 + 1.25636i
\(637\) −4328.95 + 2084.71i −0.269261 + 0.129669i
\(638\) −1155.28 −0.0716893
\(639\) 7367.89 0.456133
\(640\) −19926.8 + 9596.23i −1.23074 + 0.592694i
\(641\) −1989.46 + 8716.37i −0.122588 + 0.537092i 0.875919 + 0.482459i \(0.160256\pi\)
−0.998506 + 0.0546334i \(0.982601\pi\)
\(642\) −3.75760 + 4.71188i −0.000230998 + 0.000289662i
\(643\) −8626.19 10816.9i −0.529057 0.663417i 0.443447 0.896300i \(-0.353755\pi\)
−0.972505 + 0.232884i \(0.925184\pi\)
\(644\) −9428.14 −0.576896
\(645\) −32670.9 13692.2i −1.99445 0.835860i
\(646\) 16286.2 0.991909
\(647\) −1375.53 1724.86i −0.0835822 0.104809i 0.738282 0.674492i \(-0.235637\pi\)
−0.821864 + 0.569683i \(0.807066\pi\)
\(648\) −6765.28 + 8483.39i −0.410132 + 0.514289i
\(649\) −1995.46 + 8742.69i −0.120691 + 0.528783i
\(650\) −14250.4 + 6862.62i −0.859917 + 0.414114i
\(651\) −7758.60 −0.467102
\(652\) 1316.35 0.0790676
\(653\) −5106.82 + 2459.32i −0.306042 + 0.147382i −0.580601 0.814188i \(-0.697182\pi\)
0.274559 + 0.961570i \(0.411468\pi\)
\(654\) −2897.64 12695.4i −0.173252 0.759067i
\(655\) −14130.8 6805.02i −0.842954 0.405945i
\(656\) −1128.45 4944.07i −0.0671626 0.294258i
\(657\) 14903.8 + 18688.8i 0.885012 + 1.10977i
\(658\) 1652.65 795.872i 0.0979131 0.0471525i
\(659\) 3822.83 + 4793.67i 0.225973 + 0.283361i 0.881873 0.471486i \(-0.156282\pi\)
−0.655900 + 0.754847i \(0.727711\pi\)
\(660\) 2806.03 12294.0i 0.165492 0.725066i
\(661\) 18007.4 + 8671.92i 1.05962 + 0.510285i 0.880747 0.473587i \(-0.157041\pi\)
0.178871 + 0.983872i \(0.442755\pi\)
\(662\) −7125.05 3431.24i −0.418312 0.201449i
\(663\) 33410.6 41895.6i 1.95711 2.45413i
\(664\) 374.028 1638.72i 0.0218601 0.0957752i
\(665\) −8201.49 35933.1i −0.478256 2.09538i
\(666\) 3658.04 4587.03i 0.212832 0.266883i
\(667\) 2868.92 3597.52i 0.166545 0.208840i
\(668\) −3716.60 16283.5i −0.215269 0.943155i
\(669\) −924.981 + 4052.61i −0.0534556 + 0.234204i
\(670\) −7782.82 + 9759.35i −0.448771 + 0.562741i
\(671\) −9396.61 4525.17i −0.540614 0.260346i
\(672\) 21794.3 + 10495.6i 1.25109 + 0.602494i
\(673\) −1864.50 + 8168.92i −0.106792 + 0.467888i 0.893047 + 0.449964i \(0.148563\pi\)
−0.999839 + 0.0179247i \(0.994294\pi\)
\(674\) −9726.15 12196.2i −0.555842 0.697003i
\(675\) −5329.81 + 2566.70i −0.303918 + 0.146359i
\(676\) −16045.8 20120.8i −0.912939 1.14479i
\(677\) 4700.72 + 20595.2i 0.266859 + 1.16918i 0.913645 + 0.406513i \(0.133255\pi\)
−0.646786 + 0.762671i \(0.723887\pi\)
\(678\) −18146.8 8739.04i −1.02791 0.495016i
\(679\) 26.1827 + 114.714i 0.00147982 + 0.00648352i
\(680\) 24961.6 12020.8i 1.40769 0.677910i
\(681\) −46206.7 −2.60007
\(682\) 1393.10 0.0782178
\(683\) 20594.3 9917.67i 1.15376 0.555621i 0.243598 0.969876i \(-0.421672\pi\)
0.910161 + 0.414255i \(0.135958\pi\)
\(684\) 5861.62 25681.4i 0.327668 1.43561i
\(685\) −794.160 + 995.845i −0.0442968 + 0.0555464i
\(686\) 5922.33 + 7426.36i 0.329614 + 0.413323i
\(687\) 14314.4 0.794945
\(688\) 3401.94 4752.58i 0.188514 0.263358i
\(689\) −35691.2 −1.97348
\(690\) −10187.1 12774.2i −0.562050 0.704788i
\(691\) 17689.5 22181.9i 0.973865 1.22119i −0.00136589 0.999999i \(-0.500435\pi\)
0.975231 0.221189i \(-0.0709938\pi\)
\(692\) −3656.35 + 16019.5i −0.200858 + 0.880015i
\(693\) −8184.88 + 3941.63i −0.448655 + 0.216061i
\(694\) 16122.6 0.881851
\(695\) 33249.2 1.81470
\(696\) −6775.18 + 3262.76i −0.368984 + 0.177693i
\(697\) 4706.81 + 20621.9i 0.255787 + 1.12067i
\(698\) 3611.09 + 1739.01i 0.195819 + 0.0943015i
\(699\) 3994.82 + 17502.5i 0.216163 + 0.947072i
\(700\) −8894.43 11153.3i −0.480254 0.602220i
\(701\) 1889.20 909.789i 0.101789 0.0490189i −0.382297 0.924040i \(-0.624867\pi\)
0.484085 + 0.875021i \(0.339152\pi\)
\(702\) 2958.31 + 3709.61i 0.159052 + 0.199445i
\(703\) 3857.92 16902.7i 0.206976 0.906822i
\(704\) −1428.96 688.149i −0.0764998 0.0368403i
\(705\) −8803.97 4239.77i −0.470321 0.226495i
\(706\) 10532.4 13207.2i 0.561460 0.704048i
\(707\) −2837.65 + 12432.6i −0.150949 + 0.661350i
\(708\) 5585.84 + 24473.2i 0.296509 + 1.29909i
\(709\) 12754.2 15993.3i 0.675592 0.847165i −0.319348 0.947637i \(-0.603464\pi\)
0.994940 + 0.100472i \(0.0320354\pi\)
\(710\) −3230.66 + 4051.12i −0.170767 + 0.214135i
\(711\) −3183.60 13948.2i −0.167924 0.735724i
\(712\) −3861.78 + 16919.6i −0.203267 + 0.890573i
\(713\) −3459.52 + 4338.10i −0.181711 + 0.227858i
\(714\) −14165.5 6821.74i −0.742479 0.357559i
\(715\) 19618.5 + 9447.75i 1.02614 + 0.494162i
\(716\) −5878.39 + 25754.9i −0.306824 + 1.34428i
\(717\) −295.989 371.159i −0.0154169 0.0193322i
\(718\) −1888.77 + 909.585i −0.0981732 + 0.0472777i
\(719\) −9575.91 12007.8i −0.496691 0.622831i 0.468788 0.883311i \(-0.344691\pi\)
−0.965479 + 0.260479i \(0.916119\pi\)
\(720\) −2439.44 10687.9i −0.126267 0.553213i
\(721\) −10884.3 5241.59i −0.562207 0.270745i
\(722\) 3495.98 + 15316.9i 0.180204 + 0.789524i
\(723\) −14149.7 + 6814.15i −0.727848 + 0.350513i
\(724\) 11191.1 0.574465
\(725\) 6962.30 0.356653
\(726\) −10266.2 + 4943.96i −0.524815 + 0.252738i
\(727\) 5138.97 22515.3i 0.262165 1.14862i −0.656733 0.754123i \(-0.728062\pi\)
0.918898 0.394496i \(-0.129081\pi\)
\(728\) −16588.7 + 20801.5i −0.844528 + 1.05900i
\(729\) −16634.2 20858.6i −0.845104 1.05973i
\(730\) −16810.7 −0.852319
\(731\) −14189.6 + 19823.2i −0.717950 + 1.00299i
\(732\) −29194.9 −1.47414
\(733\) −15001.6 18811.4i −0.755928 0.947904i 0.243832 0.969818i \(-0.421596\pi\)
−0.999760 + 0.0219137i \(0.993024\pi\)
\(734\) 6515.84 8170.60i 0.327662 0.410875i
\(735\) 1671.12 7321.67i 0.0838644 0.367434i
\(736\) 15586.4 7506.01i 0.780601 0.375917i
\(737\) 9091.85 0.454413
\(738\) −11129.5 −0.555126
\(739\) −13662.5 + 6579.50i −0.680084 + 0.327511i −0.741837 0.670580i \(-0.766045\pi\)
0.0617531 + 0.998091i \(0.480331\pi\)
\(740\) −2822.37 12365.6i −0.140206 0.614283i
\(741\) 75067.0 + 36150.4i 3.72153 + 1.79220i
\(742\) 2330.23 + 10209.4i 0.115290 + 0.505119i
\(743\) 12900.1 + 16176.2i 0.636956 + 0.798718i 0.990619 0.136655i \(-0.0436352\pi\)
−0.353662 + 0.935373i \(0.615064\pi\)
\(744\) 8169.91 3934.42i 0.402585 0.193875i
\(745\) 3418.84 + 4287.09i 0.168130 + 0.210828i
\(746\) 2241.43 9820.33i 0.110006 0.481967i
\(747\) 2499.44 + 1203.67i 0.122423 + 0.0589557i
\(748\) −7818.72 3765.30i −0.382194 0.184055i
\(749\) 5.85217 7.33839i 0.000285492 0.000357996i
\(750\) 604.360 2647.87i 0.0294241 0.128916i
\(751\) −2106.13 9227.55i −0.102335 0.448360i −0.999971 0.00762171i \(-0.997574\pi\)
0.897636 0.440738i \(-0.145283\pi\)
\(752\) 1005.22 1260.50i 0.0487453 0.0611247i
\(753\) 15676.5 19657.7i 0.758675 0.951348i
\(754\) −1242.61 5444.24i −0.0600176 0.262954i
\(755\) −4902.88 + 21480.9i −0.236336 + 1.03546i
\(756\) −2668.19 + 3345.80i −0.128361 + 0.160960i
\(757\) 9520.73 + 4584.94i 0.457116 + 0.220135i 0.648249 0.761429i \(-0.275502\pi\)
−0.191133 + 0.981564i \(0.561216\pi\)
\(758\) 10378.4 + 4997.95i 0.497307 + 0.239490i
\(759\) −2648.10 + 11602.1i −0.126640 + 0.554848i
\(760\) 26858.1 + 33679.0i 1.28190 + 1.60745i
\(761\) 10185.9 4905.25i 0.485199 0.233660i −0.175259 0.984522i \(-0.556076\pi\)
0.660458 + 0.750863i \(0.270362\pi\)
\(762\) 16717.0 + 20962.4i 0.794741 + 0.996573i
\(763\) 4512.86 + 19772.1i 0.214124 + 0.938137i
\(764\) −6180.24 2976.24i −0.292661 0.140938i
\(765\) 10175.0 + 44579.5i 0.480885 + 2.10689i
\(766\) −7780.46 + 3746.87i −0.366997 + 0.176736i
\(767\) −43346.3 −2.04060
\(768\) −20553.3 −0.965696
\(769\) −7159.65 + 3447.91i −0.335740 + 0.161684i −0.594156 0.804350i \(-0.702514\pi\)
0.258416 + 0.966034i \(0.416799\pi\)
\(770\) 1421.65 6228.65i 0.0665359 0.291513i
\(771\) −11308.3 + 14180.1i −0.528219 + 0.662366i
\(772\) 10311.0 + 12929.6i 0.480700 + 0.602779i