Properties

Label 43.4.e.a.4.5
Level $43$
Weight $4$
Character 43.4
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 4.5
Character \(\chi\) \(=\) 43.4
Dual form 43.4.e.a.11.5

$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{7}\right)\)

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 −0.911913 0.410383i \(-0.865395\pi\)
0.603013 + 0.797731i \(0.293967\pi\)
\(3\) 4.80787 + 6.02888i 0.925275 + 1.16026i 0.986766 + 0.162150i \(0.0518429\pi\)
−0.0614914 + 0.998108i \(0.519586\pi\)
\(4\) 1.34321 + 5.88499i 0.167901 + 0.735624i
\(5\) −14.6785 7.06881i −1.31289 0.632254i −0.359259 0.933238i \(-0.616971\pi\)
−0.953629 + 0.300984i \(0.902685\pi\)
\(6\) −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 0.898563 + 0.438845i \(0.144612\pi\)
−0.999985 + 0.00551443i \(0.998245\pi\)
\(12\) −29.0219 + 36.3923i −0.698158 + 0.875463i
\(13\) 72.4170 + 34.8742i 1.54499 + 0.744028i 0.995790 0.0916636i \(-0.0292184\pi\)
0.549199 + 0.835691i \(0.314933\pi\)
\(14\) −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 0.214117 0.976808i \(-0.431312\pi\)
0.897199 + 0.441626i \(0.145598\pi\)
\(18\) −28.3629 35.5660i −0.371400 0.465721i
\(19\) −29.9127 131.056i −0.361182 1.58244i −0.750200 0.661211i \(-0.770043\pi\)
0.389018 0.921230i \(-0.372814\pi\)
\(20\) 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 0.790843 + 0.612019i \(0.209642\pi\)
−0.978070 + 0.208276i \(0.933215\pi\)
\(24\) −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 −0.672949 0.739689i \(-0.734973\pi\)
0.870889 + 0.491480i \(0.163544\pi\)
\(30\) 158.613 + 76.3842i 0.965290 + 0.464859i
\(31\) −37.2757 + 46.7423i −0.215965 + 0.270812i −0.877999 0.478662i \(-0.841122\pi\)
0.662034 + 0.749474i \(0.269693\pi\)
\(32\) 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 −0.401248 0.915970i \(-0.631423\pi\)
0.982290 + 0.187365i \(0.0599947\pi\)
\(42\) −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 0.940943 0.338565i \(-0.109941\pi\)
−0.994658 + 0.103223i \(0.967084\pi\)
\(48\) −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 −0.873292 0.487198i \(-0.838019\pi\)
−0.163582 + 0.986530i \(0.552305\pi\)
\(54\) 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 −0.884797 0.465977i \(-0.845703\pi\)
−0.187346 + 0.982294i \(0.559989\pi\)
\(60\) 683.249 329.036i 1.47012 0.707972i
\(61\) 391.056 + 490.369i 0.820813 + 1.02927i 0.998975 + 0.0452662i \(0.0144136\pi\)
−0.178162 + 0.984001i \(0.557015\pi\)
\(62\) −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 −0.956084 0.293092i \(-0.905316\pi\)
0.734234 0.678896i \(-0.237541\pi\)
\(68\) 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 0.915018 0.403412i \(-0.132176\pi\)
−0.999437 + 0.0335499i \(0.989319\pi\)
\(72\) 398.112 499.216i 0.651637 0.817127i
\(73\) −663.422 319.487i −1.06367 0.512235i −0.181606 0.983371i \(-0.558130\pi\)
−0.882060 + 0.471137i \(0.843844\pi\)
\(74\) 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 0.745351 0.666672i \(-0.232282\pi\)
−0.815814 + 0.578315i \(0.803710\pi\)
\(84\) −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 0.992811 0.119691i \(-0.0381904\pi\)
−0.337611 + 0.941286i \(0.609619\pi\)
\(90\) 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 −0.974107 0.226087i \(-0.927407\pi\)
0.975736 + 0.218952i \(0.0702638\pi\)
\(98\) 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 −0.987525 0.157464i \(-0.949668\pi\)
0.821408 0.570341i \(-0.193189\pi\)
\(102\) −841.721 + 405.351i −0.817086 + 0.393488i
\(103\) −646.749 + 311.458i −0.618700 + 0.297950i −0.716857 0.697221i \(-0.754420\pi\)
0.0981564 + 0.995171i \(0.468705\pi\)
\(104\) −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 0.781989 0.623293i \(-0.214206\pi\)
−0.781674 + 0.623687i \(0.785634\pi\)
\(108\) −158.545 198.809i −0.141259 0.177134i
\(109\) 268.156 1174.87i 0.235640 1.03240i −0.709235 0.704972i \(-0.750959\pi\)
0.944875 0.327432i \(-0.106183\pi\)
\(110\) 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 0.425292 0.905056i \(-0.360171\pi\)
0.972767 + 0.231786i \(0.0744570\pi\)
\(114\) 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 −0.150644 + 0.988588i \(0.548135\pi\)
−0.930281 + 0.366848i \(0.880437\pi\)
\(128\) 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 −0.540289 0.841480i \(-0.681685\pi\)
0.940608 + 0.339496i \(0.110256\pi\)
\(132\) −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 0.455718 0.890124i \(-0.349382\pi\)
−0.411791 + 0.911278i \(0.635097\pi\)
\(138\) 223.160 977.730i 0.137657 0.603115i
\(139\) −1838.73 + 885.487i −1.12201 + 0.540331i −0.900512 0.434830i \(-0.856808\pi\)
−0.221496 + 0.975161i \(0.571094\pi\)
\(140\) 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 −0.991335 0.131359i \(-0.958066\pi\)
0.950157 + 0.311773i \(0.100923\pi\)
\(150\) −946.103 1186.38i −0.514993 0.645781i
\(151\) 843.211 + 1057.35i 0.454434 + 0.569842i 0.955283 0.295692i \(-0.0955503\pi\)
−0.500849 + 0.865535i \(0.666979\pi\)
\(152\) −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 −0.999995 0.00300170i \(-0.999045\pi\)
0.899662 0.436586i \(-0.143813\pi\)
\(158\) −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 −0.961930 0.273296i \(-0.911886\pi\)
0.985248 + 0.171135i \(0.0547433\pi\)
\(164\) 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 0.910576 0.413342i \(-0.135639\pi\)
0.244571 + 0.969631i \(0.421353\pi\)
\(168\) −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 −0.816819 0.576894i \(-0.804264\pi\)
0.986233 0.165360i \(-0.0528784\pi\)
\(182\) −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 0.999972 0.00745222i \(-0.00237214\pi\)
−0.904177 + 0.427157i \(0.859515\pi\)
\(192\) −163.664 + 717.057i −0.0615177 + 0.269527i
\(193\) −1708.15 2141.96i −0.637075 0.798867i 0.353559 0.935412i \(-0.384972\pi\)
−0.990634 + 0.136545i \(0.956400\pi\)
\(194\) 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 0.991686 0.128681i \(-0.0410745\pi\)
−0.346126 + 0.938188i \(0.612503\pi\)
\(198\) 681.527 328.206i 0.244616 0.117801i
\(199\) 14.0497 6.76597i 0.00500480 0.00241018i −0.431380 0.902170i \(-0.641973\pi\)
0.436384 + 0.899760i \(0.356259\pi\)
\(200\) −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 −0.856151 0.516725i \(-0.827151\pi\)
0.547167 0.837023i \(-0.315706\pi\)
\(212\) −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 0.359538 0.933131i \(-0.382934\pi\)
−0.505383 + 0.862895i \(0.668649\pi\)
\(224\) 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 −0.169129 + 0.985594i \(0.554095\pi\)
−0.923248 + 0.384204i \(0.874476\pi\)
\(228\) 5637.57 + 2714.91i 1.63753 + 0.788593i
\(229\) 1157.39 1451.32i 0.333984 0.418802i −0.586275 0.810112i \(-0.699406\pi\)
0.920259 + 0.391309i \(0.127978\pi\)
\(230\) 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 0.534705 0.845039i \(-0.320423\pi\)
−0.942835 + 0.333260i \(0.891851\pi\)
\(234\) −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 0.976748 0.214391i \(-0.0687767\pi\)
−0.973040 + 0.230635i \(0.925920\pi\)
\(240\) 1623.62 + 2035.95i 0.436683 + 0.547583i
\(241\) −1834.95 + 883.666i −0.490455 + 0.236191i −0.662730 0.748858i \(-0.730602\pi\)
0.172275 + 0.985049i \(0.444888\pi\)
\(242\) −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 0.227603 0.973754i \(-0.426911\pi\)
−0.619404 + 0.785073i \(0.712626\pi\)
\(264\) 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 0.348667 + 0.937246i \(0.386634\pi\)
−0.720795 + 0.693149i \(0.756223\pi\)
\(270\) −599.634 + 751.917i −0.135158 + 0.169482i
\(271\) −215.740 103.895i −0.0483589 0.0232884i 0.409548 0.912289i \(-0.365686\pi\)
−0.457907 + 0.889000i \(0.651401\pi\)
\(272\) −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 −0.955933 0.293585i \(-0.905151\pi\)
0.733884 0.679275i \(-0.237706\pi\)
\(278\) 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 0.831197 + 0.555978i \(0.187656\pi\)
−0.990112 + 0.140276i \(0.955201\pi\)
\(282\) 187.025 + 819.411i 0.0394936 + 0.173033i
\(283\) 1737.60 + 2178.89i 0.364982 + 0.457673i 0.930083 0.367349i \(-0.119734\pi\)
−0.565101 + 0.825021i \(0.691163\pi\)
\(284\) 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 0.289559 0.957160i \(-0.406491\pi\)
−0.567801 + 0.823166i \(0.692206\pi\)
\(294\) 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 0.0326023 0.999468i \(-0.489621\pi\)
0.801743 + 0.597669i \(0.203906\pi\)
\(312\) 2712.77 11885.4i 0.492244 2.15666i
\(313\) −3237.12 + 4059.22i −0.584578 + 0.733037i −0.982886 0.184214i \(-0.941026\pi\)
0.398308 + 0.917252i \(0.369597\pi\)
\(314\) 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 −0.463175 0.886267i \(-0.653290\pi\)
0.404127 + 0.914703i \(0.367575\pi\)
\(318\) 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 0.805470 0.592637i \(-0.201913\pi\)
0.0388598 + 0.999245i \(0.487627\pi\)
\(332\) 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 −0.911415 0.411489i \(-0.865009\pi\)
−0.198363 0.980129i \(-0.563562\pi\)
\(348\) 513.532 + 2249.93i 0.0791041 + 0.346578i
\(349\) −2576.94 1240.99i −0.395245 0.190340i 0.225695 0.974198i \(-0.427535\pi\)
−0.620940 + 0.783858i \(0.713249\pi\)
\(350\) −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 −0.204533 0.978860i \(-0.565568\pi\)
0.608989 0.793178i \(-0.291575\pi\)
\(354\) 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 0.993485 0.113961i \(-0.0363539\pi\)
−0.944545 + 0.328382i \(0.893497\pi\)
\(360\) −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 −0.708493 0.705717i \(-0.750625\pi\)
0.944530 0.328426i \(-0.106518\pi\)
\(368\) −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 −0.366507 0.930415i \(-0.619446\pi\)
0.988643 + 0.150281i \(0.0480178\pi\)
\(374\) −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 −0.141556 0.989930i \(-0.545211\pi\)
−0.862218 + 0.506538i \(0.830925\pi\)
\(380\) −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 0.980216 + 0.197931i \(0.0634221\pi\)
−0.797265 + 0.603629i \(0.793721\pi\)
\(384\) 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 −0.935857 0.352380i \(-0.885372\pi\)
0.551793 + 0.833981i \(0.313944\pi\)
\(390\) 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 −0.969660 0.244458i \(-0.921390\pi\)
−0.413448 + 0.910528i \(0.635676\pi\)
\(398\) −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 −0.918082 0.396391i \(-0.870262\pi\)
0.590746 + 0.806858i \(0.298834\pi\)
\(402\) 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 0.790792 0.612085i \(-0.209669\pi\)
−0.772707 + 0.634763i \(0.781098\pi\)
\(410\) 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 −0.974518 0.224310i \(-0.927987\pi\)
0.975335 + 0.220731i \(0.0708444\pi\)
\(420\) 11498.5 5537.41i 1.33588 0.643328i
\(421\) −209.339 + 917.176i −0.0242342 + 0.106177i −0.985598 0.169102i \(-0.945913\pi\)
0.961364 + 0.275279i \(0.0887703\pi\)
\(422\) 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 0.955728 + 0.294251i \(0.0950702\pi\)
0.0742042 + 0.997243i \(0.476358\pi\)
\(434\) −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 −0.999680 0.0253143i \(-0.991941\pi\)
0.911664 + 0.410937i \(0.134798\pi\)
\(440\) −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 0.135738 0.990745i \(-0.456659\pi\)
−0.689964 + 0.723844i \(0.742374\pi\)
\(444\) 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 −0.838815 0.544417i \(-0.816751\pi\)
0.519532 0.854451i \(-0.326106\pi\)
\(450\) 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 0.666654 0.745368i \(-0.267726\pi\)
0.998404 0.0564816i \(-0.0179882\pi\)
\(458\) 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 −0.963501 0.267706i \(-0.913734\pi\)
0.475393 + 0.879773i \(0.342306\pi\)
\(462\) 672.888 2948.11i 0.0677610 0.296880i
\(463\) 5343.01 2573.06i 0.536308 0.258272i −0.146067 0.989275i \(-0.546661\pi\)
0.682375 + 0.731002i \(0.260947\pi\)
\(464\) −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 −0.0710774 + 0.997471i \(0.522644\pi\)
−0.956646 + 0.291254i \(0.905928\pi\)
\(488\) −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 0.929777 0.368123i \(-0.119999\pi\)
−0.565788 + 0.824551i \(0.691428\pi\)
\(492\) 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 −0.646140 0.763219i \(-0.723618\pi\)
0.193847 + 0.981032i \(0.437903\pi\)
\(500\) 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 0.168727 0.985663i \(-0.446034\pi\)
−0.665423 + 0.746467i \(0.731749\pi\)
\(504\) 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 0.890910 0.454181i \(-0.150068\pi\)
0.200380 + 0.979718i \(0.435782\pi\)
\(522\) −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 0.520947 0.853589i \(-0.325579\pi\)
−0.948109 + 0.317944i \(0.897008\pi\)
\(542\) 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 −0.938645 0.344886i \(-0.887918\pi\)
0.545107 + 0.838367i \(0.316489\pi\)
\(548\) −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 −0.645581 0.763692i \(-0.723385\pi\)
0.888200 + 0.459457i \(0.151956\pi\)
\(558\) 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 0.998039 0.0625956i \(-0.0199378\pi\)
−0.926361 + 0.376636i \(0.877081\pi\)
\(564\) 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 0.501581 0.865111i \(-0.332752\pi\)
0.989101 + 0.147236i \(0.0470375\pi\)
\(570\) 5266.06 23072.1i 0.386967 1.69541i
\(571\) 1254.92 1573.61i 0.0919730 0.115330i −0.733715 0.679457i \(-0.762215\pi\)
0.825688 + 0.564126i \(0.190787\pi\)
\(572\) −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 0.603099 0.797666i \(-0.293932\pi\)
−0.911869 + 0.410480i \(0.865361\pi\)
\(578\) 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 0.909381 + 0.415963i \(0.136556\pi\)
−0.638845 + 0.769336i \(0.720587\pi\)
\(588\) 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 −0.929471 0.368896i \(-0.879736\pi\)
0.997482 + 0.0709180i \(0.0225928\pi\)
\(594\) 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 0.985321 0.170710i \(-0.0546061\pi\)
−0.385685 + 0.922631i \(0.626035\pi\)
\(600\) 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 0.984555 0.175075i \(-0.0560168\pi\)
0.476981 + 0.878914i \(0.341731\pi\)
\(608\) −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 0.676988 + 0.735994i \(0.263285\pi\)
−0.929281 + 0.369374i \(0.879572\pi\)
\(614\) −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 −0.917403 0.397959i \(-0.869719\pi\)
0.653884 0.756595i \(-0.273139\pi\)
\(618\) 6988.65 3365.55i 0.454894 0.219065i
\(619\) 1666.48 802.533i 0.108209 0.0521107i −0.378996 0.925398i \(-0.623731\pi\)
0.487205 + 0.873288i \(0.338016\pi\)
\(620\) 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 −0.969820 0.243822i \(-0.921599\pi\)
0.453514 + 0.891249i \(0.350170\pi\)
\(632\) −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 −0.998506 0.0546334i \(-0.982601\pi\)
0.875919 0.482459i \(-0.160256\pi\)
\(642\) −3.75760 4.71188i −0.000230998 0.000289662i
\(643\) −8626.19 + 10816.9i −0.529057 + 0.663417i −0.972505 0.232884i \(-0.925184\pi\)
0.443447 + 0.896300i \(0.353755\pi\)
\(644\) −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 −0.821864 0.569683i \(-0.807066\pi\)
0.738282 + 0.674492i \(0.235637\pi\)
\(648\) −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 0.274559 0.961570i \(-0.411468\pi\)
−0.580601 + 0.814188i \(0.697182\pi\)
\(654\) −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 −0.655900 0.754847i \(-0.727711\pi\)
0.881873 + 0.471486i \(0.156282\pi\)
\(660\) 2806.03 + 12294.0i 0.165492 + 0.725066i
\(661\) 18007.4 8671.92i 1.05962 0.510285i 0.178871 0.983872i \(-0.442755\pi\)
0.880747 + 0.473587i \(0.157041\pi\)
\(662\) −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 −0.999839 0.0179247i \(-0.994294\pi\)
0.893047 0.449964i \(-0.148563\pi\)
\(674\) −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 −0.646786 0.762671i \(-0.723887\pi\)
0.913645 0.406513i \(-0.133255\pi\)
\(678\) −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 0.910161 0.414255i \(-0.135958\pi\)
0.243598 + 0.969876i \(0.421672\pi\)
\(684\) 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 0.975231 + 0.221189i \(0.0709938\pi\)
−0.00136589 + 0.999999i \(0.500435\pi\)
\(692\) −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 0.484085 0.875021i \(-0.339152\pi\)
−0.382297 + 0.924040i \(0.624867\pi\)
\(702\) 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 0.994940 0.100472i \(-0.0320354\pi\)
−0.319348 + 0.947637i \(0.603464\pi\)
\(710\) −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 −0.965479 0.260479i \(-0.916119\pi\)
0.468788 + 0.883311i \(0.344691\pi\)
\(720\) −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 0.918898 + 0.394496i \(0.129081\pi\)
−0.656733 + 0.754123i \(0.728062\pi\)
\(728\) −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 −0.999760 0.0219137i \(-0.993024\pi\)
0.243832 + 0.969818i \(0.421596\pi\)
\(734\) 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 0.0617531 0.998091i \(-0.480331\pi\)
−0.741837 + 0.670580i \(0.766045\pi\)
\(740\) −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 −0.353662 0.935373i \(-0.615064\pi\)
0.990619 + 0.136655i \(0.0436352\pi\)
\(744\) 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 0.897636 + 0.440738i \(0.145283\pi\)
−0.999971 + 0.00762171i \(0.997574\pi\)
\(752\) 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 −0.191133 0.981564i \(-0.561216\pi\)
0.648249 + 0.761429i \(0.275502\pi\)
\(758\) 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 0.660458 0.750863i \(-0.270362\pi\)
−0.175259 + 0.984522i \(0.556076\pi\)
\(762\) 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 0.258416 0.966034i \(-0.416799\pi\)
−0.594156 + 0.804350i \(0.702514\pi\)
\(770\) 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
\(773\)