Properties

Label 43.4.e.a.4.9
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 4.9
Character \(\chi\) \(=\) 43.4
Dual form 43.4.e.a.11.9

$q$-expansion

\(f(q)\) \(=\) \(q+(2.72209 - 3.41339i) q^{2} +(-2.84196 - 3.56370i) q^{3} +(-2.46131 - 10.7837i) q^{4} +(8.30189 + 3.99798i) q^{5} -19.9004 q^{6} -12.2688 q^{7} +(-12.0406 - 5.79846i) q^{8} +(1.38482 - 6.06730i) q^{9} +O(q^{10})\) \(q+(2.72209 - 3.41339i) q^{2} +(-2.84196 - 3.56370i) q^{3} +(-2.46131 - 10.7837i) q^{4} +(8.30189 + 3.99798i) q^{5} -19.9004 q^{6} -12.2688 q^{7} +(-12.0406 - 5.79846i) q^{8} +(1.38482 - 6.06730i) q^{9} +(36.2452 - 17.4548i) q^{10} +(-3.74140 + 16.3922i) q^{11} +(-31.4349 + 39.4182i) q^{12} +(66.8370 + 32.1870i) q^{13} +(-33.3969 + 41.8784i) q^{14} +(-9.34601 - 40.9475i) q^{15} +(27.1570 - 13.0781i) q^{16} +(-0.640842 + 0.308613i) q^{17} +(-16.9405 - 21.2427i) q^{18} +(-6.96294 - 30.5066i) q^{19} +(22.6795 - 99.3654i) q^{20} +(34.8675 + 43.7225i) q^{21} +(45.7684 + 57.3918i) q^{22} +(-18.6609 + 81.7588i) q^{23} +(13.5550 + 59.3881i) q^{24} +(-24.9987 - 31.3473i) q^{25} +(291.803 - 140.525i) q^{26} +(-136.440 + 65.7059i) q^{27} +(30.1974 + 132.304i) q^{28} +(-142.592 + 178.805i) q^{29} +(-165.211 - 79.5613i) q^{30} +(-151.938 + 190.525i) q^{31} +(53.0733 - 232.529i) q^{32} +(69.0496 - 33.2525i) q^{33} +(-0.691012 + 3.02752i) q^{34} +(-101.855 - 49.0506i) q^{35} -68.8364 q^{36} +82.4344 q^{37} +(-123.085 - 59.2745i) q^{38} +(-75.2429 - 329.661i) q^{39} +(-76.7778 - 96.2764i) q^{40} +(252.021 - 316.025i) q^{41} +244.155 q^{42} +(-163.858 + 229.473i) q^{43} +185.977 q^{44} +(35.7536 - 44.8336i) q^{45} +(228.278 + 286.252i) q^{46} +(-78.0998 - 342.177i) q^{47} +(-123.786 - 59.6120i) q^{48} -192.475 q^{49} -175.049 q^{50} +(2.92105 + 1.40670i) q^{51} +(182.588 - 799.972i) q^{52} +(-95.6110 + 46.0438i) q^{53} +(-147.121 + 644.580i) q^{54} +(-96.5962 + 121.128i) q^{55} +(147.725 + 71.1404i) q^{56} +(-88.9281 + 111.512i) q^{57} +(222.183 + 973.447i) q^{58} +(616.615 - 296.946i) q^{59} +(-418.562 + 201.569i) q^{60} +(315.438 + 395.546i) q^{61} +(236.746 + 1037.25i) q^{62} +(-16.9902 + 74.4387i) q^{63} +(-498.898 - 625.599i) q^{64} +(426.190 + 534.426i) q^{65} +(74.4553 - 326.210i) q^{66} +(-63.7497 - 279.306i) q^{67} +(4.90530 + 6.15106i) q^{68} +(344.397 - 165.853i) q^{69} +(-444.686 + 214.150i) q^{70} +(29.2594 + 128.194i) q^{71} +(-51.8551 + 65.0242i) q^{72} +(-656.788 - 316.292i) q^{73} +(224.394 - 281.381i) q^{74} +(-40.6674 + 178.175i) q^{75} +(-311.836 + 150.172i) q^{76} +(45.9027 - 201.113i) q^{77} +(-1330.08 - 640.533i) q^{78} +818.448 q^{79} +277.741 q^{80} +(470.522 + 226.592i) q^{81} +(-392.692 - 1720.50i) q^{82} +(-540.134 - 677.307i) q^{83} +(385.670 - 483.615i) q^{84} -6.55403 q^{85} +(337.245 + 1183.96i) q^{86} +1042.45 q^{87} +(140.098 - 175.677i) q^{88} +(545.794 + 684.404i) q^{89} +(-55.7101 - 244.082i) q^{90} +(-820.013 - 394.897i) q^{91} +927.593 q^{92} +1110.78 q^{93} +(-1380.58 - 664.853i) q^{94} +(64.1593 - 281.100i) q^{95} +(-979.497 + 471.701i) q^{96} +(207.312 - 908.294i) q^{97} +(-523.935 + 656.994i) q^{98} +(94.2749 + 45.4004i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.72209 3.41339i 0.962404 1.20682i −0.0159488 0.999873i \(-0.505077\pi\)
0.978353 0.206944i \(-0.0663517\pi\)
\(3\) −2.84196 3.56370i −0.546935 0.685834i 0.429148 0.903234i \(-0.358814\pi\)
−0.976083 + 0.217400i \(0.930242\pi\)
\(4\) −2.46131 10.7837i −0.307664 1.34796i
\(5\) 8.30189 + 3.99798i 0.742544 + 0.357590i 0.766604 0.642120i \(-0.221945\pi\)
−0.0240601 + 0.999711i \(0.507659\pi\)
\(6\) −19.9004 −1.35405
\(7\) −12.2688 −0.662455 −0.331228 0.943551i \(-0.607463\pi\)
−0.331228 + 0.943551i \(0.607463\pi\)
\(8\) −12.0406 5.79846i −0.532125 0.256258i
\(9\) 1.38482 6.06730i 0.0512897 0.224715i
\(10\) 36.2452 17.4548i 1.14617 0.551968i
\(11\) −3.74140 + 16.3922i −0.102552 + 0.449311i 0.897415 + 0.441188i \(0.145443\pi\)
−0.999967 + 0.00812292i \(0.997414\pi\)
\(12\) −31.4349 + 39.4182i −0.756207 + 0.948253i
\(13\) 66.8370 + 32.1870i 1.42594 + 0.686697i 0.978238 0.207485i \(-0.0665278\pi\)
0.447703 + 0.894182i \(0.352242\pi\)
\(14\) −33.3969 + 41.8784i −0.637550 + 0.799462i
\(15\) −9.34601 40.9475i −0.160875 0.704841i
\(16\) 27.1570 13.0781i 0.424328 0.204346i
\(17\) −0.640842 + 0.308613i −0.00914277 + 0.00440293i −0.438450 0.898756i \(-0.644472\pi\)
0.429307 + 0.903159i \(0.358758\pi\)
\(18\) −16.9405 21.2427i −0.221828 0.278164i
\(19\) −6.96294 30.5066i −0.0840741 0.368353i 0.915336 0.402691i \(-0.131925\pi\)
−0.999410 + 0.0343378i \(0.989068\pi\)
\(20\) 22.6795 99.3654i 0.253564 1.11094i
\(21\) 34.8675 + 43.7225i 0.362320 + 0.454335i
\(22\) 45.7684 + 57.3918i 0.443539 + 0.556180i
\(23\) −18.6609 + 81.7588i −0.169177 + 0.741213i 0.817152 + 0.576423i \(0.195552\pi\)
−0.986329 + 0.164790i \(0.947305\pi\)
\(24\) 13.5550 + 59.3881i 0.115287 + 0.505106i
\(25\) −24.9987 31.3473i −0.199989 0.250779i
\(26\) 291.803 140.525i 2.20105 1.05997i
\(27\) −136.440 + 65.7059i −0.972513 + 0.468337i
\(28\) 30.1974 + 132.304i 0.203813 + 0.892965i
\(29\) −142.592 + 178.805i −0.913060 + 1.14494i 0.0759532 + 0.997111i \(0.475800\pi\)
−0.989013 + 0.147829i \(0.952771\pi\)
\(30\) −165.211 79.5613i −1.00544 0.484194i
\(31\) −151.938 + 190.525i −0.880289 + 1.10385i 0.113607 + 0.993526i \(0.463759\pi\)
−0.993896 + 0.110321i \(0.964812\pi\)
\(32\) 53.0733 232.529i 0.293192 1.28456i
\(33\) 69.0496 33.2525i 0.364242 0.175410i
\(34\) −0.691012 + 3.02752i −0.00348551 + 0.0152710i
\(35\) −101.855 49.0506i −0.491902 0.236888i
\(36\) −68.8364 −0.318687
\(37\) 82.4344 0.366274 0.183137 0.983087i \(-0.441375\pi\)
0.183137 + 0.983087i \(0.441375\pi\)
\(38\) −123.085 59.2745i −0.525447 0.253042i
\(39\) −75.2429 329.661i −0.308936 1.35354i
\(40\) −76.7778 96.2764i −0.303491 0.380566i
\(41\) 252.021 316.025i 0.959979 1.20378i −0.0190013 0.999819i \(-0.506049\pi\)
0.978980 0.203956i \(-0.0653799\pi\)
\(42\) 244.155 0.896997
\(43\) −163.858 + 229.473i −0.581118 + 0.813820i
\(44\) 185.977 0.637206
\(45\) 35.7536 44.8336i 0.118441 0.148520i
\(46\) 228.278 + 286.252i 0.731691 + 0.917512i
\(47\) −78.0998 342.177i −0.242383 1.06195i −0.938840 0.344353i \(-0.888098\pi\)
0.696457 0.717599i \(-0.254759\pi\)
\(48\) −123.786 59.6120i −0.372227 0.179255i
\(49\) −192.475 −0.561153
\(50\) −175.049 −0.495114
\(51\) 2.92105 + 1.40670i 0.00802018 + 0.00386231i
\(52\) 182.588 799.972i 0.486932 2.13339i
\(53\) −95.6110 + 46.0438i −0.247796 + 0.119332i −0.553660 0.832743i \(-0.686769\pi\)
0.305864 + 0.952075i \(0.401055\pi\)
\(54\) −147.121 + 644.580i −0.370753 + 1.62437i
\(55\) −96.5962 + 121.128i −0.236819 + 0.296961i
\(56\) 147.725 + 71.1404i 0.352509 + 0.169760i
\(57\) −88.9281 + 111.512i −0.206646 + 0.259126i
\(58\) 222.183 + 973.447i 0.503001 + 2.20379i
\(59\) 616.615 296.946i 1.36062 0.655239i 0.395843 0.918318i \(-0.370452\pi\)
0.964774 + 0.263079i \(0.0847381\pi\)
\(60\) −418.562 + 201.569i −0.900603 + 0.433708i
\(61\) 315.438 + 395.546i 0.662092 + 0.830238i 0.993569 0.113226i \(-0.0361183\pi\)
−0.331477 + 0.943463i \(0.607547\pi\)
\(62\) 236.746 + 1037.25i 0.484947 + 2.12469i
\(63\) −16.9902 + 74.4387i −0.0339771 + 0.148863i
\(64\) −498.898 625.599i −0.974410 1.22187i
\(65\) 426.190 + 534.426i 0.813268 + 1.01981i
\(66\) 74.4553 326.210i 0.138861 0.608389i
\(67\) −63.7497 279.306i −0.116243 0.509293i −0.999206 0.0398502i \(-0.987312\pi\)
0.882963 0.469443i \(-0.155545\pi\)
\(68\) 4.90530 + 6.15106i 0.00874787 + 0.0109695i
\(69\) 344.397 165.853i 0.600878 0.289368i
\(70\) −444.686 + 214.150i −0.759288 + 0.365654i
\(71\) 29.2594 + 128.194i 0.0489078 + 0.214279i 0.993477 0.114034i \(-0.0363771\pi\)
−0.944569 + 0.328313i \(0.893520\pi\)
\(72\) −51.8551 + 65.0242i −0.0848775 + 0.106433i
\(73\) −656.788 316.292i −1.05303 0.507112i −0.174429 0.984670i \(-0.555808\pi\)
−0.878601 + 0.477557i \(0.841522\pi\)
\(74\) 224.394 281.381i 0.352503 0.442025i
\(75\) −40.6674 + 178.175i −0.0626115 + 0.274319i
\(76\) −311.836 + 150.172i −0.470659 + 0.226657i
\(77\) 45.9027 201.113i 0.0679363 0.297648i
\(78\) −1330.08 640.533i −1.93079 0.929821i
\(79\) 818.448 1.16560 0.582801 0.812615i \(-0.301957\pi\)
0.582801 + 0.812615i \(0.301957\pi\)
\(80\) 277.741 0.388154
\(81\) 470.522 + 226.592i 0.645435 + 0.310825i
\(82\) −392.692 1720.50i −0.528848 2.31704i
\(83\) −540.134 677.307i −0.714306 0.895712i 0.283695 0.958915i \(-0.408440\pi\)
−0.998001 + 0.0632031i \(0.979868\pi\)
\(84\) 385.670 483.615i 0.500953 0.628176i
\(85\) −6.55403 −0.00836335
\(86\) 337.245 + 1183.96i 0.422861 + 1.48453i
\(87\) 1042.45 1.28462
\(88\) 140.098 175.677i 0.169710 0.212810i
\(89\) 545.794 + 684.404i 0.650045 + 0.815131i 0.992219 0.124506i \(-0.0397346\pi\)
−0.342174 + 0.939637i \(0.611163\pi\)
\(90\) −55.7101 244.082i −0.0652485 0.285872i
\(91\) −820.013 394.897i −0.944623 0.454906i
\(92\) 927.593 1.05118
\(93\) 1110.78 1.23852
\(94\) −1380.58 664.853i −1.51485 0.729514i
\(95\) 64.1593 281.100i 0.0692906 0.303582i
\(96\) −979.497 + 471.701i −1.04135 + 0.501487i
\(97\) 207.312 908.294i 0.217004 0.950756i −0.742674 0.669653i \(-0.766443\pi\)
0.959678 0.281103i \(-0.0907001\pi\)
\(98\) −523.935 + 656.994i −0.540056 + 0.677208i
\(99\) 94.2749 + 45.4004i 0.0957069 + 0.0460900i
\(100\) −276.511 + 346.733i −0.276511 + 0.346733i
\(101\) −152.349 667.485i −0.150092 0.657597i −0.992857 0.119314i \(-0.961930\pi\)
0.842764 0.538283i \(-0.180927\pi\)
\(102\) 12.7530 6.14152i 0.0123798 0.00596177i
\(103\) −857.904 + 413.145i −0.820697 + 0.395227i −0.796618 0.604483i \(-0.793380\pi\)
−0.0240793 + 0.999710i \(0.507665\pi\)
\(104\) −618.124 775.103i −0.582808 0.730818i
\(105\) 114.665 + 502.379i 0.106573 + 0.466925i
\(106\) −103.096 + 451.693i −0.0944677 + 0.413890i
\(107\) −1040.23 1304.41i −0.939838 1.17852i −0.983761 0.179485i \(-0.942557\pi\)
0.0439222 0.999035i \(-0.486015\pi\)
\(108\) 1044.37 + 1309.60i 0.930508 + 1.16682i
\(109\) −483.141 + 2116.78i −0.424555 + 1.86010i 0.0801182 + 0.996785i \(0.474470\pi\)
−0.504673 + 0.863311i \(0.668387\pi\)
\(110\) 150.513 + 659.442i 0.130462 + 0.571593i
\(111\) −234.275 293.771i −0.200328 0.251203i
\(112\) −333.185 + 160.453i −0.281099 + 0.135370i
\(113\) −1496.80 + 720.820i −1.24608 + 0.600080i −0.936458 0.350780i \(-0.885917\pi\)
−0.309621 + 0.950860i \(0.600202\pi\)
\(114\) 138.565 + 607.093i 0.113840 + 0.498767i
\(115\) −481.791 + 604.147i −0.390672 + 0.489887i
\(116\) 2279.14 + 1097.58i 1.82425 + 0.878513i
\(117\) 287.845 360.947i 0.227447 0.285210i
\(118\) 664.888 2913.06i 0.518711 2.27262i
\(119\) 7.86240 3.78633i 0.00605668 0.00291674i
\(120\) −124.901 + 547.226i −0.0950153 + 0.416289i
\(121\) 944.485 + 454.840i 0.709606 + 0.341728i
\(122\) 2208.80 1.63914
\(123\) −1842.45 −1.35064
\(124\) 2428.53 + 1169.52i 1.75878 + 0.846982i
\(125\) −338.510 1483.11i −0.242218 1.06123i
\(126\) 207.840 + 260.623i 0.146951 + 0.184271i
\(127\) −408.083 + 511.720i −0.285130 + 0.357542i −0.903684 0.428201i \(-0.859148\pi\)
0.618554 + 0.785743i \(0.287719\pi\)
\(128\) −1585.38 −1.09476
\(129\) 1283.45 68.2113i 0.875979 0.0465556i
\(130\) 2984.33 2.01341
\(131\) 1632.78 2047.44i 1.08898 1.36554i 0.163590 0.986528i \(-0.447693\pi\)
0.925392 0.379011i \(-0.123736\pi\)
\(132\) −528.538 662.765i −0.348510 0.437017i
\(133\) 85.4272 + 374.281i 0.0556953 + 0.244017i
\(134\) −1126.91 542.693i −0.726496 0.349862i
\(135\) −1395.40 −0.889606
\(136\) 9.50562 0.00599339
\(137\) −374.805 180.496i −0.233735 0.112561i 0.313350 0.949638i \(-0.398549\pi\)
−0.547086 + 0.837077i \(0.684263\pi\)
\(138\) 371.359 1627.03i 0.229074 1.00364i
\(139\) 1862.66 897.010i 1.13661 0.547363i 0.231625 0.972805i \(-0.425596\pi\)
0.904985 + 0.425442i \(0.139882\pi\)
\(140\) −278.251 + 1219.10i −0.167975 + 0.735947i
\(141\) −997.462 + 1250.78i −0.595755 + 0.747053i
\(142\) 517.223 + 249.082i 0.305665 + 0.147200i
\(143\) −777.678 + 975.177i −0.454774 + 0.570269i
\(144\) −41.7413 182.880i −0.0241558 0.105834i
\(145\) −1898.65 + 914.340i −1.08741 + 0.523667i
\(146\) −2867.46 + 1380.90i −1.62543 + 0.782767i
\(147\) 547.007 + 685.925i 0.306914 + 0.384858i
\(148\) −202.896 888.947i −0.112689 0.493723i
\(149\) 218.150 955.778i 0.119943 0.525506i −0.878882 0.477040i \(-0.841710\pi\)
0.998825 0.0484659i \(-0.0154332\pi\)
\(150\) 497.482 + 623.823i 0.270795 + 0.339566i
\(151\) 6.78596 + 8.50933i 0.00365718 + 0.00458596i 0.783657 0.621194i \(-0.213352\pi\)
−0.780000 + 0.625780i \(0.784781\pi\)
\(152\) −93.0533 + 407.693i −0.0496554 + 0.217555i
\(153\) 0.984997 + 4.31556i 0.000520473 + 0.00228034i
\(154\) −561.526 704.131i −0.293825 0.368445i
\(155\) −2023.09 + 974.269i −1.04838 + 0.504872i
\(156\) −3369.77 + 1622.79i −1.72947 + 0.832869i
\(157\) 229.073 + 1003.63i 0.116446 + 0.510182i 0.999187 + 0.0403224i \(0.0128385\pi\)
−0.882741 + 0.469860i \(0.844304\pi\)
\(158\) 2227.89 2793.68i 1.12178 1.40667i
\(159\) 435.809 + 209.874i 0.217370 + 0.104680i
\(160\) 1370.26 1718.25i 0.677052 0.848997i
\(161\) 228.948 1003.09i 0.112072 0.491020i
\(162\) 2054.25 989.274i 0.996278 0.479782i
\(163\) −208.966 + 915.539i −0.100414 + 0.439942i 0.899581 + 0.436754i \(0.143872\pi\)
−0.999995 + 0.00318810i \(0.998985\pi\)
\(164\) −4028.22 1939.89i −1.91799 0.923657i
\(165\) 706.185 0.333191
\(166\) −3782.21 −1.76841
\(167\) 1566.03 + 754.162i 0.725649 + 0.349454i 0.759971 0.649957i \(-0.225213\pi\)
−0.0343224 + 0.999411i \(0.510927\pi\)
\(168\) −166.304 728.624i −0.0763726 0.334610i
\(169\) 2061.37 + 2584.88i 0.938266 + 1.17655i
\(170\) −17.8407 + 22.3715i −0.00804892 + 0.0100930i
\(171\) −194.735 −0.0870864
\(172\) 2877.87 + 1202.19i 1.27579 + 0.532942i
\(173\) −108.791 −0.0478107 −0.0239053 0.999714i \(-0.507610\pi\)
−0.0239053 + 0.999714i \(0.507610\pi\)
\(174\) 2837.64 3558.29i 1.23633 1.55031i
\(175\) 306.705 + 384.596i 0.132484 + 0.166130i
\(176\) 112.773 + 494.092i 0.0482989 + 0.211611i
\(177\) −2810.62 1353.52i −1.19355 0.574785i
\(178\) 3821.84 1.60932
\(179\) −1852.75 −0.773637 −0.386819 0.922156i \(-0.626426\pi\)
−0.386819 + 0.922156i \(0.626426\pi\)
\(180\) −571.472 275.206i −0.236639 0.113959i
\(181\) 275.636 1207.64i 0.113193 0.495930i −0.886270 0.463168i \(-0.846713\pi\)
0.999463 0.0327617i \(-0.0104303\pi\)
\(182\) −3580.09 + 1724.08i −1.45810 + 0.702183i
\(183\) 513.148 2248.25i 0.207284 0.908172i
\(184\) 698.764 876.223i 0.279965 0.351065i
\(185\) 684.361 + 329.571i 0.271974 + 0.130976i
\(186\) 3023.63 3791.51i 1.19195 1.49466i
\(187\) −2.66119 11.6594i −0.00104067 0.00455948i
\(188\) −3497.71 + 1684.41i −1.35690 + 0.653447i
\(189\) 1673.96 806.136i 0.644246 0.310253i
\(190\) −784.859 984.182i −0.299682 0.375790i
\(191\) 649.569 + 2845.95i 0.246079 + 1.07814i 0.935373 + 0.353662i \(0.115064\pi\)
−0.689294 + 0.724482i \(0.742079\pi\)
\(192\) −811.599 + 3555.85i −0.305063 + 1.33657i
\(193\) 1949.53 + 2444.63i 0.727100 + 0.911755i 0.998716 0.0506510i \(-0.0161296\pi\)
−0.271616 + 0.962406i \(0.587558\pi\)
\(194\) −2536.04 3180.10i −0.938542 1.17689i
\(195\) 693.319 3037.63i 0.254613 1.11553i
\(196\) 473.741 + 2075.60i 0.172646 + 0.756413i
\(197\) −360.369 451.888i −0.130331 0.163430i 0.712384 0.701790i \(-0.247616\pi\)
−0.842715 + 0.538360i \(0.819044\pi\)
\(198\) 411.594 198.213i 0.147731 0.0711434i
\(199\) −2813.46 + 1354.89i −1.00221 + 0.482641i −0.861689 0.507436i \(-0.830593\pi\)
−0.140525 + 0.990077i \(0.544879\pi\)
\(200\) 119.233 + 522.395i 0.0421553 + 0.184695i
\(201\) −814.188 + 1020.96i −0.285713 + 0.358273i
\(202\) −2693.10 1296.93i −0.938048 0.451740i
\(203\) 1749.44 2193.73i 0.604861 0.758472i
\(204\) 7.97986 34.9621i 0.00273874 0.0119992i
\(205\) 3355.72 1616.03i 1.14328 0.550577i
\(206\) −925.067 + 4052.98i −0.312876 + 1.37080i
\(207\) 470.213 + 226.443i 0.157884 + 0.0760331i
\(208\) 2236.04 0.745391
\(209\) 526.120 0.174127
\(210\) 2026.94 + 976.125i 0.666059 + 0.320757i
\(211\) 4.05107 + 17.7489i 0.00132174 + 0.00579092i 0.975584 0.219624i \(-0.0704832\pi\)
−0.974263 + 0.225415i \(0.927626\pi\)
\(212\) 731.851 + 917.712i 0.237093 + 0.297305i
\(213\) 373.691 468.593i 0.120211 0.150739i
\(214\) −7284.04 −2.32676
\(215\) −2277.76 + 1249.96i −0.722519 + 0.396495i
\(216\) 2023.81 0.637514
\(217\) 1864.11 2337.52i 0.583152 0.731249i
\(218\) 5910.24 + 7411.20i 1.83620 + 2.30252i
\(219\) 739.391 + 3239.48i 0.228143 + 0.999561i
\(220\) 1543.96 + 743.531i 0.473153 + 0.227859i
\(221\) −52.7653 −0.0160605
\(222\) −1640.47 −0.495952
\(223\) 1731.66 + 833.924i 0.520002 + 0.250420i 0.675426 0.737428i \(-0.263960\pi\)
−0.155423 + 0.987848i \(0.549674\pi\)
\(224\) −651.149 + 2852.87i −0.194226 + 0.850961i
\(225\) −224.812 + 108.264i −0.0666110 + 0.0320782i
\(226\) −1613.98 + 7071.30i −0.475045 + 2.08131i
\(227\) −434.006 + 544.226i −0.126899 + 0.159126i −0.841222 0.540690i \(-0.818163\pi\)
0.714323 + 0.699816i \(0.246735\pi\)
\(228\) 1421.39 + 684.508i 0.412869 + 0.198827i
\(229\) 1188.11 1489.84i 0.342850 0.429920i −0.580275 0.814421i \(-0.697055\pi\)
0.923125 + 0.384501i \(0.125626\pi\)
\(230\) 750.712 + 3289.08i 0.215220 + 0.942938i
\(231\) −847.159 + 407.970i −0.241294 + 0.116201i
\(232\) 2753.69 1326.11i 0.779263 0.375273i
\(233\) −2115.56 2652.83i −0.594829 0.745892i 0.389733 0.920928i \(-0.372567\pi\)
−0.984562 + 0.175036i \(0.943996\pi\)
\(234\) −448.512 1965.06i −0.125300 0.548974i
\(235\) 719.643 3152.96i 0.199763 0.875219i
\(236\) −4719.86 5918.51i −1.30185 1.63247i
\(237\) −2325.99 2916.70i −0.637508 0.799410i
\(238\) 8.47791 37.1442i 0.00230900 0.0101164i
\(239\) −946.024 4144.80i −0.256039 1.12178i −0.925445 0.378882i \(-0.876309\pi\)
0.669406 0.742896i \(-0.266549\pi\)
\(240\) −789.327 989.784i −0.212295 0.266210i
\(241\) −6322.84 + 3044.92i −1.69000 + 0.813860i −0.694457 + 0.719534i \(0.744355\pi\)
−0.995541 + 0.0943265i \(0.969930\pi\)
\(242\) 4123.52 1985.78i 1.09533 0.527483i
\(243\) 380.142 + 1665.51i 0.100355 + 0.439682i
\(244\) 3489.06 4375.14i 0.915427 1.14791i
\(245\) −1597.91 769.513i −0.416681 0.200663i
\(246\) −5015.32 + 6289.01i −1.29986 + 1.62997i
\(247\) 516.535 2263.09i 0.133062 0.582983i
\(248\) 2934.18 1413.03i 0.751294 0.361804i
\(249\) −878.681 + 3849.75i −0.223631 + 0.979791i
\(250\) −5983.89 2881.69i −1.51382 0.729016i
\(251\) 2690.62 0.676616 0.338308 0.941035i \(-0.390145\pi\)
0.338308 + 0.941035i \(0.390145\pi\)
\(252\) 844.543 0.211116
\(253\) −1270.39 611.785i −0.315685 0.152026i
\(254\) 635.862 + 2785.89i 0.157077 + 0.688199i
\(255\) 18.6263 + 23.3566i 0.00457421 + 0.00573587i
\(256\) −324.370 + 406.748i −0.0791920 + 0.0993036i
\(257\) 652.543 0.158383 0.0791917 0.996859i \(-0.474766\pi\)
0.0791917 + 0.996859i \(0.474766\pi\)
\(258\) 3260.83 4566.59i 0.786861 1.10195i
\(259\) −1011.37 −0.242640
\(260\) 4714.10 5911.29i 1.12445 1.41001i
\(261\) 887.399 + 1112.76i 0.210455 + 0.263902i
\(262\) −2544.15 11146.6i −0.599916 2.62840i
\(263\) 4463.63 + 2149.57i 1.04654 + 0.503986i 0.876475 0.481447i \(-0.159889\pi\)
0.170063 + 0.985433i \(0.445603\pi\)
\(264\) −1024.21 −0.238773
\(265\) −977.834 −0.226671
\(266\) 1510.11 + 727.230i 0.348085 + 0.167629i
\(267\) 887.888 3890.09i 0.203512 0.891646i
\(268\) −2855.04 + 1374.92i −0.650744 + 0.313382i
\(269\) 1566.00 6861.10i 0.354947 1.55513i −0.410642 0.911797i \(-0.634695\pi\)
0.765590 0.643329i \(-0.222447\pi\)
\(270\) −3798.40 + 4763.04i −0.856161 + 1.07359i
\(271\) 77.0982 + 37.1285i 0.0172819 + 0.00832250i 0.442505 0.896766i \(-0.354090\pi\)
−0.425223 + 0.905089i \(0.639804\pi\)
\(272\) −13.3673 + 16.7620i −0.00297982 + 0.00373657i
\(273\) 923.144 + 4044.56i 0.204657 + 0.896659i
\(274\) −1636.36 + 788.028i −0.360788 + 0.173746i
\(275\) 607.380 292.499i 0.133187 0.0641394i
\(276\) −2636.18 3305.66i −0.574925 0.720933i
\(277\) −1665.04 7295.02i −0.361165 1.58237i −0.750244 0.661161i \(-0.770064\pi\)
0.389079 0.921204i \(-0.372793\pi\)
\(278\) 2008.48 8799.74i 0.433312 1.89846i
\(279\) 945.563 + 1185.70i 0.202901 + 0.254430i
\(280\) 941.975 + 1181.20i 0.201049 + 0.252108i
\(281\) 609.148 2668.85i 0.129319 0.566585i −0.868201 0.496212i \(-0.834724\pi\)
0.997521 0.0703730i \(-0.0224190\pi\)
\(282\) 1554.21 + 6809.46i 0.328199 + 1.43793i
\(283\) 4625.89 + 5800.68i 0.971663 + 1.21843i 0.975851 + 0.218436i \(0.0700955\pi\)
−0.00418792 + 0.999991i \(0.501333\pi\)
\(284\) 1310.39 631.050i 0.273793 0.131852i
\(285\) −1184.10 + 570.230i −0.246104 + 0.118518i
\(286\) 1211.75 + 5309.04i 0.250533 + 1.09766i
\(287\) −3092.01 + 3877.26i −0.635943 + 0.797448i
\(288\) −1337.33 644.023i −0.273621 0.131769i
\(289\) −3062.89 + 3840.74i −0.623426 + 0.781751i
\(290\) −2047.28 + 8969.74i −0.414554 + 1.81628i
\(291\) −3826.06 + 1842.53i −0.770748 + 0.371173i
\(292\) −1794.24 + 7861.09i −0.359589 + 1.57546i
\(293\) −1617.83 779.105i −0.322575 0.155344i 0.265587 0.964087i \(-0.414434\pi\)
−0.588162 + 0.808743i \(0.700148\pi\)
\(294\) 3830.33 0.759828
\(295\) 6306.26 1.24463
\(296\) −992.561 477.992i −0.194904 0.0938606i
\(297\) −566.585 2482.37i −0.110696 0.484990i
\(298\) −2668.62 3346.35i −0.518755 0.650499i
\(299\) −3878.81 + 4863.87i −0.750225 + 0.940753i
\(300\) 2021.49 0.389035
\(301\) 2010.34 2815.36i 0.384965 0.539119i
\(302\) 47.5177 0.00905409
\(303\) −1945.75 + 2439.89i −0.368912 + 0.462601i
\(304\) −588.062 737.407i −0.110946 0.139122i
\(305\) 1037.34 + 4544.89i 0.194748 + 0.853246i
\(306\) 17.4119 + 8.38515i 0.00325286 + 0.00156649i
\(307\) −1176.57 −0.218731 −0.109365 0.994002i \(-0.534882\pi\)
−0.109365 + 0.994002i \(0.534882\pi\)
\(308\) −2281.72 −0.422120
\(309\) 3910.45 + 1883.17i 0.719928 + 0.346699i
\(310\) −2181.47 + 9557.65i −0.399675 + 1.75109i
\(311\) 5673.77 2732.34i 1.03450 0.498190i 0.161995 0.986792i \(-0.448207\pi\)
0.872507 + 0.488602i \(0.162493\pi\)
\(312\) −1005.55 + 4405.62i −0.182462 + 0.799420i
\(313\) 731.410 917.159i 0.132082 0.165626i −0.711392 0.702795i \(-0.751935\pi\)
0.843474 + 0.537169i \(0.180506\pi\)
\(314\) 4049.35 + 1950.06i 0.727765 + 0.350473i
\(315\) −438.655 + 550.056i −0.0784616 + 0.0983878i
\(316\) −2014.45 8825.90i −0.358613 1.57119i
\(317\) 1122.29 540.467i 0.198846 0.0957591i −0.331811 0.943346i \(-0.607660\pi\)
0.530657 + 0.847587i \(0.321945\pi\)
\(318\) 1902.69 916.289i 0.335528 0.161582i
\(319\) −2397.51 3006.38i −0.420798 0.527664i
\(320\) −1640.67 7188.24i −0.286613 1.25573i
\(321\) −1692.23 + 7414.13i −0.294239 + 1.28915i
\(322\) −2800.71 3511.98i −0.484713 0.607811i
\(323\) 13.8769 + 17.4011i 0.00239050 + 0.00299759i
\(324\) 1285.39 5631.68i 0.220404 0.965652i
\(325\) −661.859 2899.79i −0.112964 0.494928i
\(326\) 2556.27 + 3205.46i 0.434291 + 0.544583i
\(327\) 8916.62 4294.02i 1.50792 0.726177i
\(328\) −4866.95 + 2343.80i −0.819306 + 0.394557i
\(329\) 958.194 + 4198.12i 0.160568 + 0.703495i
\(330\) 1922.30 2410.49i 0.320664 0.402100i
\(331\) −888.205 427.737i −0.147493 0.0710288i 0.358681 0.933460i \(-0.383226\pi\)
−0.506174 + 0.862431i \(0.668941\pi\)
\(332\) −5974.43 + 7491.70i −0.987619 + 1.23844i
\(333\) 114.157 500.154i 0.0187861 0.0823071i
\(334\) 6837.14 3292.59i 1.12009 0.539409i
\(335\) 587.416 2573.64i 0.0958029 0.419740i
\(336\) 1518.71 + 731.370i 0.246584 + 0.118749i
\(337\) −11334.6 −1.83214 −0.916072 0.401014i \(-0.868658\pi\)
−0.916072 + 0.401014i \(0.868658\pi\)
\(338\) 14434.4 2.32287
\(339\) 6822.62 + 3285.60i 1.09308 + 0.526399i
\(340\) 16.1315 + 70.6767i 0.00257310 + 0.0112735i
\(341\) −2554.65 3203.43i −0.405695 0.508725i
\(342\) −530.087 + 664.708i −0.0838123 + 0.105097i
\(343\) 6569.67 1.03419
\(344\) 3303.54 1812.87i 0.517775 0.284138i
\(345\) 3522.23 0.549653
\(346\) −296.140 + 371.347i −0.0460132 + 0.0576987i
\(347\) 3244.83 + 4068.89i 0.501994 + 0.629480i 0.966678 0.255997i \(-0.0824036\pi\)
−0.464684 + 0.885476i \(0.653832\pi\)
\(348\) −2565.79 11241.5i −0.395232 1.73162i
\(349\) −4995.61 2405.76i −0.766214 0.368989i 0.00959725 0.999954i \(-0.496945\pi\)
−0.775812 + 0.630965i \(0.782659\pi\)
\(350\) 2147.65 0.327991
\(351\) −11234.1 −1.70835
\(352\) 3613.09 + 1739.97i 0.547098 + 0.263468i
\(353\) −613.931 + 2689.81i −0.0925672 + 0.405563i −0.999889 0.0148726i \(-0.995266\pi\)
0.907322 + 0.420436i \(0.138123\pi\)
\(354\) −12270.9 + 5909.34i −1.84234 + 0.887225i
\(355\) −269.608 + 1181.23i −0.0403080 + 0.176601i
\(356\) 6037.03 7570.20i 0.898770 1.12702i
\(357\) −35.8379 17.2586i −0.00531301 0.00255861i
\(358\) −5043.35 + 6324.16i −0.744552 + 0.933638i
\(359\) 92.3117 + 404.444i 0.0135711 + 0.0594588i 0.981260 0.192688i \(-0.0617205\pi\)
−0.967689 + 0.252147i \(0.918863\pi\)
\(360\) −690.461 + 332.508i −0.101085 + 0.0486798i
\(361\) 5297.57 2551.18i 0.772354 0.371946i
\(362\) −3371.85 4228.16i −0.489559 0.613888i
\(363\) −1063.27 4658.50i −0.153739 0.673575i
\(364\) −2240.15 + 9814.73i −0.322571 + 1.41327i
\(365\) −4188.05 5251.65i −0.600582 0.753106i
\(366\) −6277.32 7871.51i −0.896505 1.12418i
\(367\) −475.812 + 2084.67i −0.0676762 + 0.296509i −0.997428 0.0716787i \(-0.977164\pi\)
0.929752 + 0.368187i \(0.120022\pi\)
\(368\) 562.477 + 2464.37i 0.0796771 + 0.349088i
\(369\) −1568.41 1966.73i −0.221269 0.277463i
\(370\) 2987.85 1438.87i 0.419813 0.202171i
\(371\) 1173.04 564.905i 0.164154 0.0790523i
\(372\) −2733.96 11978.3i −0.381046 1.66947i
\(373\) 3295.55 4132.49i 0.457472 0.573651i −0.498582 0.866842i \(-0.666146\pi\)
0.956054 + 0.293191i \(0.0947172\pi\)
\(374\) −47.0422 22.6543i −0.00650400 0.00313216i
\(375\) −4323.32 + 5421.28i −0.595348 + 0.746543i
\(376\) −1043.73 + 4572.89i −0.143155 + 0.627204i
\(377\) −15285.6 + 7361.18i −2.08820 + 1.00562i
\(378\) 1805.01 7908.25i 0.245607 1.07608i
\(379\) 11184.1 + 5385.99i 1.51581 + 0.729973i 0.992508 0.122177i \(-0.0389875\pi\)
0.523297 + 0.852150i \(0.324702\pi\)
\(380\) −3189.22 −0.430535
\(381\) 2983.37 0.401162
\(382\) 11482.5 + 5529.69i 1.53795 + 0.740637i
\(383\) −1854.07 8123.21i −0.247359 1.08375i −0.934146 0.356892i \(-0.883836\pi\)
0.686786 0.726859i \(-0.259021\pi\)
\(384\) 4505.59 + 5649.83i 0.598763 + 0.750825i
\(385\) 1185.12 1486.10i 0.156882 0.196724i
\(386\) 13651.3 1.80008
\(387\) 1165.36 + 1311.95i 0.153072 + 0.172326i
\(388\) −10305.0 −1.34835
\(389\) −4564.21 + 5723.34i −0.594896 + 0.745976i −0.984573 0.174976i \(-0.944015\pi\)
0.389677 + 0.920952i \(0.372587\pi\)
\(390\) −8481.34 10635.3i −1.10120 1.38087i
\(391\) −13.2732 58.1535i −0.00171676 0.00752161i
\(392\) 2317.52 + 1116.06i 0.298604 + 0.143800i
\(393\) −11936.8 −1.53214
\(394\) −2523.43 −0.322661
\(395\) 6794.67 + 3272.14i 0.865511 + 0.416808i
\(396\) 257.544 1128.38i 0.0326821 0.143189i
\(397\) 3464.66 1668.49i 0.438001 0.210930i −0.201870 0.979412i \(-0.564702\pi\)
0.639871 + 0.768482i \(0.278988\pi\)
\(398\) −3033.71 + 13291.6i −0.382076 + 1.67398i
\(399\) 1091.05 1368.13i 0.136894 0.171659i
\(400\) −1088.85 524.364i −0.136107 0.0655455i
\(401\) 3121.68 3914.46i 0.388751 0.487478i −0.548492 0.836156i \(-0.684798\pi\)
0.937243 + 0.348678i \(0.113369\pi\)
\(402\) 1268.64 + 5558.29i 0.157398 + 0.689607i
\(403\) −16287.5 + 7843.66i −2.01325 + 0.969530i
\(404\) −6822.98 + 3285.77i −0.840238 + 0.404637i
\(405\) 3000.32 + 3762.28i 0.368116 + 0.461603i
\(406\) −2725.93 11943.1i −0.333216 1.45991i
\(407\) −308.420 + 1351.28i −0.0375622 + 0.164571i
\(408\) −27.0146 33.8752i −0.00327799 0.00411047i
\(409\) 8370.93 + 10496.8i 1.01202 + 1.26903i 0.962792 + 0.270244i \(0.0871043\pi\)
0.0492267 + 0.998788i \(0.484324\pi\)
\(410\) 3618.42 15853.3i 0.435856 1.90961i
\(411\) 421.943 + 1848.65i 0.0506397 + 0.221867i
\(412\) 6566.80 + 8234.50i 0.785250 + 0.984672i
\(413\) −7565.15 + 3643.19i −0.901348 + 0.434067i
\(414\) 2052.90 988.625i 0.243707 0.117363i
\(415\) −1776.28 7782.37i −0.210106 0.920534i
\(416\) 11031.7 13833.3i 1.30018 1.63037i
\(417\) −8490.28 4088.70i −0.997052 0.480155i
\(418\) 1432.15 1795.86i 0.167580 0.210139i
\(419\) 431.243 1889.40i 0.0502807 0.220294i −0.943545 0.331243i \(-0.892532\pi\)
0.993826 + 0.110949i \(0.0353891\pi\)
\(420\) 5135.28 2473.02i 0.596609 0.287312i
\(421\) 2894.60 12682.1i 0.335093 1.46814i −0.474036 0.880505i \(-0.657203\pi\)
0.809129 0.587632i \(-0.199940\pi\)
\(422\) 71.6113 + 34.4862i 0.00826063 + 0.00397811i
\(423\) −2184.25 −0.251068
\(424\) 1418.20 0.162438
\(425\) 25.6944 + 12.3738i 0.00293262 + 0.00141227i
\(426\) −582.273 2551.11i −0.0662236 0.290144i
\(427\) −3870.05 4852.90i −0.438607 0.549995i
\(428\) −11506.0 + 14428.1i −1.29945 + 1.62945i
\(429\) 5685.37 0.639842
\(430\) −1933.66 + 11177.4i −0.216859 + 1.25354i
\(431\) 445.930 0.0498368 0.0249184 0.999689i \(-0.492067\pi\)
0.0249184 + 0.999689i \(0.492067\pi\)
\(432\) −2845.98 + 3568.75i −0.316962 + 0.397458i
\(433\) −3091.47 3876.58i −0.343110 0.430246i 0.580098 0.814547i \(-0.303014\pi\)
−0.923208 + 0.384300i \(0.874443\pi\)
\(434\) −2904.60 12725.9i −0.321256 1.40751i
\(435\) 8654.30 + 4167.69i 0.953889 + 0.459369i
\(436\) 24015.8 2.63796
\(437\) 2624.12 0.287251
\(438\) 13070.3 + 6294.33i 1.42585 + 0.686655i
\(439\) −499.408 + 2188.05i −0.0542949 + 0.237881i −0.994793 0.101918i \(-0.967502\pi\)
0.940498 + 0.339799i \(0.110359\pi\)
\(440\) 1865.43 898.345i 0.202116 0.0973339i
\(441\) −266.544 + 1167.81i −0.0287813 + 0.126099i
\(442\) −143.632 + 180.109i −0.0154567 + 0.0193821i
\(443\) −1375.31 662.315i −0.147501 0.0710328i 0.358677 0.933462i \(-0.383228\pi\)
−0.506178 + 0.862429i \(0.668942\pi\)
\(444\) −2591.32 + 3249.41i −0.276979 + 0.347320i
\(445\) 1794.89 + 7863.92i 0.191204 + 0.837720i
\(446\) 7560.24 3640.82i 0.802663 0.386542i
\(447\) −4026.08 + 1938.86i −0.426011 + 0.205156i
\(448\) 6120.90 + 7675.37i 0.645504 + 0.809436i
\(449\) −1871.60 8200.00i −0.196717 0.861875i −0.972874 0.231335i \(-0.925691\pi\)
0.776157 0.630540i \(-0.217167\pi\)
\(450\) −242.412 + 1062.08i −0.0253942 + 0.111259i
\(451\) 4237.41 + 5313.55i 0.442421 + 0.554779i
\(452\) 11457.2 + 14366.9i 1.19226 + 1.49504i
\(453\) 11.0393 48.3663i 0.00114497 0.00501644i
\(454\) 676.255 + 2962.87i 0.0699080 + 0.306287i
\(455\) −5228.86 6556.79i −0.538754 0.675576i
\(456\) 1717.35 827.032i 0.176365 0.0849327i
\(457\) 13711.3 6603.03i 1.40348 0.675879i 0.429614 0.903013i \(-0.358650\pi\)
0.973864 + 0.227134i \(0.0729354\pi\)
\(458\) −1851.28 8110.98i −0.188875 0.827514i
\(459\) 67.1586 84.2143i 0.00682940 0.00856380i
\(460\) 7700.77 + 3708.50i 0.780544 + 0.375890i
\(461\) −9474.08 + 11880.1i −0.957162 + 1.20024i 0.0225322 + 0.999746i \(0.492827\pi\)
−0.979694 + 0.200497i \(0.935744\pi\)
\(462\) −913.480 + 4002.22i −0.0919890 + 0.403030i
\(463\) −16427.2 + 7910.91i −1.64889 + 0.794063i −0.649455 + 0.760400i \(0.725003\pi\)
−0.999433 + 0.0336624i \(0.989283\pi\)
\(464\) −1533.94 + 6720.65i −0.153473 + 0.672410i
\(465\) 9221.54 + 4440.86i 0.919653 + 0.442881i
\(466\) −14813.9 −1.47262
\(467\) 358.288 0.0355024 0.0177512 0.999842i \(-0.494349\pi\)
0.0177512 + 0.999842i \(0.494349\pi\)
\(468\) −4600.81 2215.64i −0.454429 0.218841i
\(469\) 782.136 + 3426.76i 0.0770057 + 0.337384i
\(470\) −8803.36 11039.1i −0.863976 1.08339i
\(471\) 2925.63 3668.63i 0.286212 0.358899i
\(472\) −9146.26 −0.891929
\(473\) −3148.49 3544.53i −0.306063 0.344562i
\(474\) −16287.4 −1.57828
\(475\) −782.237 + 980.895i −0.0755611 + 0.0947506i
\(476\) −60.1824 75.4664i −0.00579508 0.00726680i
\(477\) 146.957 + 643.863i 0.0141063 + 0.0618039i
\(478\) −16723.0 8053.37i −1.60019 0.770613i
\(479\) 9899.32 0.944283 0.472141 0.881523i \(-0.343481\pi\)
0.472141 + 0.881523i \(0.343481\pi\)
\(480\) −10017.5 −0.952574
\(481\) 5509.66 + 2653.31i 0.522285 + 0.251519i
\(482\) −6817.83 + 29870.9i −0.644281 + 2.82278i
\(483\) −4225.36 + 2034.83i −0.398055 + 0.191693i
\(484\) 2580.19 11304.5i 0.242317 1.06166i
\(485\) 5352.43 6711.73i 0.501116 0.628379i
\(486\) 6719.83 + 3236.10i 0.627197 + 0.302042i
\(487\) 7565.88 9487.31i 0.703989 0.882775i −0.293325 0.956013i \(-0.594762\pi\)
0.997314 + 0.0732381i \(0.0233333\pi\)
\(488\) −1504.51 6591.67i −0.139561 0.611457i
\(489\) 3856.58 1857.23i 0.356647 0.171752i
\(490\) −6976.30 + 3359.61i −0.643178 + 0.309738i
\(491\) −9408.62 11798.0i −0.864776 1.08440i −0.995666 0.0929984i \(-0.970355\pi\)
0.130890 0.991397i \(-0.458217\pi\)
\(492\) 4534.84 + 19868.4i 0.415542 + 1.82061i
\(493\) 36.1975 158.592i 0.00330681 0.0144881i
\(494\) −6318.75 7923.46i −0.575494 0.721647i
\(495\) 601.150 + 753.818i 0.0545852 + 0.0684477i
\(496\) −1634.49 + 7161.15i −0.147965 + 0.648277i
\(497\) −358.980 1572.79i −0.0323993 0.141950i
\(498\) 10748.9 + 13478.6i 0.967205 + 1.21284i
\(499\) −2430.19 + 1170.32i −0.218017 + 0.104991i −0.539705 0.841854i \(-0.681464\pi\)
0.321688 + 0.946846i \(0.395750\pi\)
\(500\) −15160.2 + 7300.78i −1.35597 + 0.653001i
\(501\) −1762.99 7724.17i −0.157215 0.688803i
\(502\) 7324.12 9184.15i 0.651178 0.816551i
\(503\) 1243.30 + 598.744i 0.110211 + 0.0530749i 0.488177 0.872745i \(-0.337662\pi\)
−0.377966 + 0.925820i \(0.623376\pi\)
\(504\) 636.202 797.772i 0.0562276 0.0705071i
\(505\) 1403.81 6150.48i 0.123700 0.541966i
\(506\) −5546.36 + 2670.99i −0.487285 + 0.234664i
\(507\) 3353.40 14692.2i 0.293747 1.28699i
\(508\) 6522.65 + 3141.14i 0.569677 + 0.274342i
\(509\) 21509.0 1.87302 0.936512 0.350636i \(-0.114035\pi\)
0.936512 + 0.350636i \(0.114035\pi\)
\(510\) 130.428 0.0113244
\(511\) 8058.03 + 3880.54i 0.697585 + 0.335939i
\(512\) −2316.82 10150.7i −0.199981 0.876173i
\(513\) 2954.49 + 3704.81i 0.254276 + 0.318853i
\(514\) 1776.28 2227.39i 0.152429 0.191140i
\(515\) −8773.97 −0.750733
\(516\) −3894.53 13672.4i −0.332262 1.16646i
\(517\) 5901.23 0.502003
\(518\) −2753.05 + 3452.22i −0.233518 + 0.292822i
\(519\) 309.180 + 387.699i 0.0261493 + 0.0327902i
\(520\) −2032.75 8906.07i −0.171427 0.751071i
\(521\) 10369.4 + 4993.63i 0.871959 + 0.419913i 0.815681 0.578502i \(-0.196362\pi\)
0.0562779 + 0.998415i \(0.482077\pi\)
\(522\) 6213.88 0.521023
\(523\) 7328.63 0.612732 0.306366 0.951914i \(-0.400887\pi\)
0.306366 + 0.951914i \(0.400887\pi\)
\(524\) −26097.8 12568.0i −2.17574 1.04778i
\(525\) 498.942 2186.01i 0.0414774 0.181724i
\(526\) 19487.7 9384.80i 1.61541 0.777941i
\(527\) 38.5701 168.987i 0.00318812 0.0139681i
\(528\) 1440.30 1806.08i 0.118714 0.148863i
\(529\) 4625.81 + 2227.67i 0.380193 + 0.183091i
\(530\) −2661.75 + 3337.73i −0.218149 + 0.273551i
\(531\) −947.759 4152.40i −0.0774562 0.339358i
\(532\) 3825.87 1842.44i 0.311791 0.150150i
\(533\) 27016.2 13010.3i 2.19550 1.05730i
\(534\) −10861.5 13619.9i −0.880192 1.10373i
\(535\) −3420.88 14987.9i −0.276444 1.21118i
\(536\) −851.957 + 3732.67i −0.0686547 + 0.300796i
\(537\) 5265.43 + 6602.65i 0.423129 + 0.530587i
\(538\) −19156.8 24021.9i −1.53515 1.92502i
\(539\) 720.128 3155.09i 0.0575475 0.252132i
\(540\) 3434.51 + 15047.6i 0.273699 + 1.19916i
\(541\) −4490.93 5631.45i −0.356895 0.447532i 0.570678 0.821174i \(-0.306680\pi\)
−0.927573 + 0.373642i \(0.878109\pi\)
\(542\) 336.603 162.099i 0.0266759 0.0128464i
\(543\) −5087.02 + 2449.78i −0.402035 + 0.193610i
\(544\) 37.7501 + 165.394i 0.00297522 + 0.0130353i
\(545\) −12473.8 + 15641.7i −0.980403 + 1.22939i
\(546\) 16318.5 + 7858.60i 1.27906 + 0.615965i
\(547\) −2592.19 + 3250.51i −0.202622 + 0.254080i −0.872752 0.488164i \(-0.837667\pi\)
0.670130 + 0.742244i \(0.266238\pi\)
\(548\) −1023.91 + 4486.04i −0.0798161 + 0.349697i
\(549\) 2836.72 1366.09i 0.220525 0.106199i
\(550\) 654.930 2869.43i 0.0507751 0.222460i
\(551\) 6447.60 + 3105.00i 0.498507 + 0.240068i
\(552\) −5108.45 −0.393895
\(553\) −10041.4 −0.772160
\(554\) −29433.2 14174.3i −2.25721 1.08702i
\(555\) −770.432 3375.48i −0.0589244 0.258165i
\(556\) −14257.7 17878.6i −1.08752 1.36370i
\(557\) −13921.1 + 17456.6i −1.05899 + 1.32793i −0.116688 + 0.993169i \(0.537228\pi\)
−0.942302 + 0.334763i \(0.891344\pi\)
\(558\) 6621.16 0.502323
\(559\) −18337.8 + 10063.2i −1.38749 + 0.761407i
\(560\) −3407.56 −0.257135
\(561\) −33.9877 + 42.6193i −0.00255787 + 0.00320746i
\(562\) −7451.68 9344.12i −0.559307 0.701348i
\(563\) 3020.32 + 13232.9i 0.226095 + 0.990586i 0.952791 + 0.303627i \(0.0981976\pi\)
−0.726696 + 0.686959i \(0.758945\pi\)
\(564\) 15943.1 + 7677.78i 1.19029 + 0.573214i
\(565\) −15308.1 −1.13985
\(566\) 32392.1 2.40555
\(567\) −5772.76 2780.02i −0.427572 0.205908i
\(568\) 391.026 1713.19i 0.0288857 0.126556i
\(569\) −5067.93 + 2440.59i −0.373390 + 0.179815i −0.611161 0.791506i \(-0.709297\pi\)
0.237771 + 0.971321i \(0.423583\pi\)
\(570\) −1276.79 + 5594.00i −0.0938229 + 0.411065i
\(571\) −9489.95 + 11900.0i −0.695520 + 0.872155i −0.996680 0.0814190i \(-0.974055\pi\)
0.301160 + 0.953574i \(0.402626\pi\)
\(572\) 12430.1 + 5986.03i 0.908618 + 0.437567i
\(573\) 8296.05 10402.9i 0.604839 0.758444i
\(574\) 4817.88 + 21108.5i 0.350339 + 1.53493i
\(575\) 3029.42 1458.89i 0.219714 0.105809i
\(576\) −4486.58 + 2160.62i −0.324550 + 0.156295i
\(577\) 425.039 + 532.982i 0.0306666 + 0.0384547i 0.796928 0.604074i \(-0.206457\pi\)
−0.766262 + 0.642529i \(0.777885\pi\)
\(578\) 4772.50 + 20909.7i 0.343443 + 1.50472i
\(579\) 3171.46 13895.1i 0.227636 0.997340i
\(580\) 14533.1 + 18223.9i 1.04044 + 1.30467i
\(581\) 6626.82 + 8309.77i 0.473196 + 0.593369i
\(582\) −4125.59 + 18075.4i −0.293834 + 1.28737i
\(583\) −397.038 1739.54i −0.0282052 0.123575i
\(584\) 6074.13 + 7616.71i 0.430392 + 0.539695i
\(585\) 3832.72 1845.74i 0.270878 0.130448i
\(586\) −7063.26 + 3401.49i −0.497919 + 0.239785i
\(587\) 1188.47 + 5207.05i 0.0835666 + 0.366129i 0.999370 0.0354982i \(-0.0113018\pi\)
−0.915803 + 0.401627i \(0.868445\pi\)
\(588\) 6050.45 7587.03i 0.424348 0.532115i
\(589\) 6870.21 + 3308.52i 0.480615 + 0.231452i
\(590\) 17166.2 21525.7i 1.19783 1.50203i
\(591\) −586.242 + 2568.49i −0.0408033 + 0.178771i
\(592\) 2238.67 1078.09i 0.155420 0.0748464i
\(593\) −4785.69 + 20967.5i −0.331408 + 1.45199i 0.484999 + 0.874515i \(0.338820\pi\)
−0.816406 + 0.577478i \(0.804037\pi\)
\(594\) −10015.6 4823.26i −0.691827 0.333166i
\(595\) 80.4104 0.00554035
\(596\) −10843.8 −0.745264
\(597\) 12824.1 + 6175.78i 0.879157 + 0.423380i
\(598\) 6043.84 + 26479.8i 0.413296 + 1.81077i
\(599\) 8819.93 + 11059.8i 0.601624 + 0.754413i 0.985630 0.168918i \(-0.0540273\pi\)
−0.384006 + 0.923331i \(0.625456\pi\)
\(600\) 1522.80 1909.54i 0.103614 0.129927i
\(601\) −1655.86 −0.112386 −0.0561930 0.998420i \(-0.517896\pi\)
−0.0561930 + 0.998420i \(0.517896\pi\)
\(602\) −4137.60 14525.8i −0.280126 0.983432i
\(603\) −1782.91 −0.120408
\(604\) 75.0597 94.1219i 0.00505651 0.00634067i
\(605\) 6022.57 + 7552.07i 0.404715 + 0.507496i
\(606\) 3031.80 + 13283.2i 0.203232 + 0.890418i
\(607\) −14307.3 6890.03i −0.956697 0.460721i −0.110668 0.993857i \(-0.535299\pi\)
−0.846029 + 0.533136i \(0.821013\pi\)
\(608\) −7463.24 −0.497820
\(609\) −12789.6 −0.851006
\(610\) 18337.2 + 8830.75i 1.21714 + 0.586142i
\(611\) 5793.71 25383.9i 0.383614 1.68072i
\(612\) 44.1133 21.2438i 0.00291368 0.00140315i
\(613\) 3733.91 16359.3i 0.246021 1.07789i −0.689407 0.724374i \(-0.742129\pi\)
0.935428 0.353516i \(-0.115014\pi\)
\(614\) −3202.73 + 4016.10i −0.210508 + 0.263968i
\(615\) −15295.8 7366.08i −1.00291 0.482974i
\(616\) −1718.84 + 2155.36i −0.112425 + 0.140977i
\(617\) 3117.65 + 13659.3i 0.203423 + 0.891254i 0.968834 + 0.247712i \(0.0796786\pi\)
−0.765411 + 0.643542i \(0.777464\pi\)
\(618\) 17072.6 8221.74i 1.11126 0.535156i
\(619\) 735.485 354.191i 0.0477571 0.0229986i −0.409853 0.912152i \(-0.634420\pi\)
0.457610 + 0.889153i \(0.348706\pi\)
\(620\) 15485.7 + 19418.4i 1.00310 + 1.25784i
\(621\) −2825.95 12381.3i −0.182611 0.800071i
\(622\) 6117.95 26804.5i 0.394385 1.72791i
\(623\) −6696.26 8396.84i −0.430626 0.539988i
\(624\) −6354.72 7968.57i −0.407680 0.511215i
\(625\) 2003.93 8779.78i 0.128251 0.561906i
\(626\) −1139.66 4993.18i −0.0727635 0.318798i
\(627\) −1495.21 1874.94i −0.0952360 0.119422i
\(628\) 10259.1 4940.50i 0.651881 0.313929i
\(629\) −52.8274 + 25.4403i −0.00334876 + 0.00161268i
\(630\) 683.499 + 2994.60i 0.0432242 + 0.189378i
\(631\) −7468.39 + 9365.07i −0.471176 + 0.590836i −0.959459 0.281850i \(-0.909052\pi\)
0.488283 + 0.872685i \(0.337623\pi\)
\(632\) −9854.63 4745.74i −0.620247 0.298695i
\(633\) 51.7388 64.8784i 0.00324871 0.00407375i
\(634\) 1210.15 5302.02i 0.0758064 0.332129i
\(635\) −5433.71 + 2616.73i −0.339575 + 0.163531i
\(636\) 1190.56 5216.19i 0.0742278 0.325213i
\(637\) −12864.5 6195.20i −0.800171 0.385342i
\(638\) −16788.2 −1.04177
\(639\) 818.310 0.0506602
\(640\) −13161.7 6338.33i −0.812908 0.391476i
\(641\) 3240.50 + 14197.6i 0.199676 + 0.874836i 0.971130 + 0.238551i \(0.0766724\pi\)
−0.771454 + 0.636285i \(0.780470\pi\)
\(642\) 20700.9 + 25958.1i 1.27259 + 1.59577i
\(643\) 2111.82 2648.14i 0.129521 0.162415i −0.712842 0.701325i \(-0.752592\pi\)
0.842363 + 0.538910i \(0.181164\pi\)
\(644\) −11380.5 −0.696357
\(645\) 10927.8 + 4564.92i 0.667100 + 0.278672i
\(646\) 97.1709 0.00591817
\(647\) −10156.2 + 12735.5i −0.617127 + 0.773853i −0.987937 0.154856i \(-0.950509\pi\)
0.370810 + 0.928709i \(0.379080\pi\)
\(648\) −4351.50 5456.61i −0.263801 0.330796i
\(649\) 2560.58 + 11218.6i 0.154871 + 0.678536i
\(650\) −11699.8 5634.31i −0.706004 0.339994i
\(651\) −13627.9 −0.820462
\(652\) 10387.2 0.623919
\(653\) −14308.7 6890.73i −0.857495 0.412948i −0.0471411 0.998888i \(-0.515011\pi\)
−0.810354 + 0.585940i \(0.800725\pi\)
\(654\) 9614.67 42124.6i 0.574868 2.51866i
\(655\) 21740.8 10469.8i 1.29692 0.624564i
\(656\) 2711.13 11878.3i 0.161360 0.706963i
\(657\) −2828.57 + 3546.92i −0.167965 + 0.210622i
\(658\) 16938.1 + 8156.97i 1.00352 + 0.483270i
\(659\) 17874.5 22413.9i 1.05659 1.32492i 0.113072 0.993587i \(-0.463931\pi\)
0.943514 0.331331i \(-0.107498\pi\)
\(660\) −1738.14 7615.29i −0.102511 0.449128i
\(661\) −28338.8 + 13647.2i −1.66755 + 0.803050i −0.669359 + 0.742939i \(0.733431\pi\)
−0.998192 + 0.0601107i \(0.980855\pi\)
\(662\) −3877.81 + 1867.45i −0.227667 + 0.109638i
\(663\) 149.957 + 188.040i 0.00878406 + 0.0110149i
\(664\) 2576.22 + 11287.1i 0.150567 + 0.659678i
\(665\) −787.161 + 3448.78i −0.0459020 + 0.201110i
\(666\) −1396.48 1751.13i −0.0812498 0.101884i
\(667\) −11958.0 14994.9i −0.694176 0.870469i
\(668\) 4278.16 18743.9i 0.247795 1.08566i
\(669\) −1949.45 8541.09i −0.112661 0.493599i
\(670\) −7185.83 9010.75i −0.414348 0.519576i
\(671\) −7664.03 + 3690.80i −0.440934 + 0.212343i
\(672\) 12017.3 5787.23i 0.689848 0.332213i
\(673\) 2791.50 + 12230.4i 0.159888 + 0.700514i 0.989782 + 0.142592i \(0.0455438\pi\)
−0.829894 + 0.557921i \(0.811599\pi\)
\(674\) −30853.7 + 38689.3i −1.76326 + 2.21106i
\(675\) 5470.52 + 2634.46i 0.311941 + 0.150223i
\(676\) 22800.9 28591.4i 1.29727 1.62673i
\(677\) 3217.63 14097.4i 0.182664 0.800304i −0.797691 0.603066i \(-0.793946\pi\)
0.980356 0.197238i \(-0.0631973\pi\)
\(678\) 29786.8 14344.6i 1.68725 0.812537i
\(679\) −2543.48 + 11143.7i −0.143755 + 0.629833i
\(680\) 78.9147 + 38.0033i 0.00445035 + 0.00214318i
\(681\) 3172.89 0.178539
\(682\) −17888.5 −1.00438
\(683\) −18601.3 8957.93i −1.04211 0.501853i −0.167089 0.985942i \(-0.553437\pi\)
−0.875019 + 0.484089i \(0.839151\pi\)
\(684\) 479.304 + 2099.97i 0.0267933 + 0.117389i
\(685\) −2389.97 2996.92i −0.133308 0.167163i
\(686\) 17883.2 22424.8i 0.995313 1.24808i
\(687\) −8685.92 −0.482370
\(688\) −1448.81 + 8374.74i −0.0802841 + 0.464075i
\(689\) −7872.36 −0.435287
\(690\) 9587.82 12022.7i 0.528988 0.663331i
\(691\) 17952.3 + 22511.5i 0.988334 + 1.23933i 0.970900 + 0.239484i \(0.0769783\pi\)
0.0174342 + 0.999848i \(0.494450\pi\)
\(692\) 267.769 + 1173.17i 0.0147096 + 0.0644470i
\(693\) −1156.64 557.010i −0.0634016 0.0305326i
\(694\) 22721.4 1.24279
\(695\) 19049.8 1.03971
\(696\) −12551.7 6044.60i −0.683581 0.329195i
\(697\) −63.9765 + 280.299i −0.00347673 + 0.0152326i
\(698\) −21810.3 + 10503.3i −1.18271 + 0.569563i
\(699\) −3441.56 + 15078.5i −0.186226 + 0.815908i
\(700\) 3392.47 4254.02i 0.183176 0.229695i
\(701\) −30214.8 14550.7i −1.62795 0.783981i −0.999984 0.00574352i \(-0.998172\pi\)
−0.627970 0.778238i \(-0.716114\pi\)
\(702\) −30580.2 + 38346.4i −1.64413 + 2.06167i
\(703\) −573.985 2514.79i −0.0307941 0.134918i
\(704\) 12121.5 5837.40i 0.648928 0.312507i
\(705\) −13281.4 + 6395.99i −0.709513 + 0.341683i
\(706\) 7510.19 + 9417.48i 0.400354 + 0.502028i
\(707\) 1869.15 + 8189.27i 0.0994294 + 0.435628i
\(708\) −7678.18 + 33640.3i −0.407576 + 1.78571i
\(709\) 20668.0 + 25916.8i 1.09478 + 1.37282i 0.921697 + 0.387910i \(0.126803\pi\)
0.173087 + 0.984907i \(0.444626\pi\)
\(710\) 3298.11 + 4135.70i 0.174332 + 0.218605i
\(711\) 1133.40 4965.77i 0.0597834 0.261928i
\(712\) −2603.21 11405.4i −0.137022 0.600331i
\(713\) −12741.8 15977.7i −0.669261 0.839227i
\(714\) −156.465 + 75.3493i −0.00820103 + 0.00394941i
\(715\) −10354.9 + 4986.67i −0.541612 + 0.260827i
\(716\) 4560.19 + 19979.5i 0.238020 + 1.04283i
\(717\) −12082.3 + 15150.7i −0.629318 + 0.789140i
\(718\) 1631.81 + 785.836i 0.0848168 + 0.0408456i
\(719\) 18412.9 23089.1i 0.955058 1.19760i −0.0251604 0.999683i \(-0.508010\pi\)
0.980218 0.197921i \(-0.0634189\pi\)
\(720\) 384.621 1685.13i 0.0199083 0.0872240i
\(721\) 10525.5 5068.81i 0.543675 0.261820i
\(722\) 5712.30 25027.2i 0.294446 1.29005i
\(723\) 28820.4 + 13879.2i 1.48249 + 0.713931i
\(724\) −13701.3 −0.703320
\(725\) 9169.68 0.469729
\(726\) −18795.6 9051.48i −0.960840 0.462716i
\(727\) 5450.30 + 23879.3i 0.278047 + 1.21820i 0.900259 + 0.435356i \(0.143377\pi\)
−0.622211 + 0.782849i \(0.713766\pi\)
\(728\) 7583.67 + 9509.62i 0.386084 + 0.484134i
\(729\) 13646.6 17112.2i 0.693317 0.869392i
\(730\) −29326.2 −1.48686
\(731\) 34.1886 197.624i 0.00172984 0.00999918i
\(732\) −25507.5 −1.28795
\(733\) 5246.15 6578.46i 0.264353 0.331488i −0.631884 0.775063i \(-0.717718\pi\)
0.896238 + 0.443574i \(0.146290\pi\)
\(734\) 5820.58 + 7298.78i 0.292700 + 0.367034i
\(735\) 1798.88 + 7881.39i 0.0902756 + 0.395523i
\(736\) 18020.9 + 8678.43i 0.902528 + 0.434635i
\(737\) 4816.94 0.240752
\(738\) −10982.6 −0.547797
\(739\) −22447.9 10810.4i −1.11740 0.538113i −0.218314 0.975879i \(-0.570056\pi\)
−0.899089 + 0.437766i \(0.855770\pi\)
\(740\) 1869.57 8191.12i 0.0928740 0.406907i
\(741\) −9532.93 + 4590.82i −0.472606 + 0.227595i
\(742\) 1264.87 5541.75i 0.0625806 0.274184i
\(743\) 2771.96 3475.92i 0.136868 0.171628i −0.708674 0.705537i \(-0.750706\pi\)
0.845542 + 0.533909i \(0.179277\pi\)
\(744\) −13374.4 6440.79i −0.659046 0.317380i
\(745\) 5632.24 7062.61i 0.276979 0.347321i
\(746\) −5135.02 22498.0i −0.252019 1.10417i
\(747\) −4857.41 + 2339.21i −0.237916 + 0.114574i
\(748\) −119.182 + 57.3949i −0.00582582 + 0.00280557i
\(749\) 12762.4 + 16003.6i 0.622601 + 0.780717i
\(750\) 6736.47 + 29514.4i 0.327975 + 1.43695i
\(751\) −1140.76 + 4997.99i −0.0554286 + 0.242848i −0.995051 0.0993641i \(-0.968319\pi\)
0.939623 + 0.342213i \(0.111176\pi\)
\(752\) −6596.00 8271.12i −0.319855 0.401086i
\(753\) −7646.63 9588.57i −0.370065 0.464047i
\(754\) −16482.3 + 72213.7i −0.796087 + 3.48789i
\(755\) 22.3162 + 97.7737i 0.00107572 + 0.00471304i
\(756\) −12813.3 16067.3i −0.616420 0.772966i
\(757\) 6032.34 2905.02i 0.289629 0.139478i −0.283428 0.958994i \(-0.591472\pi\)
0.573057 + 0.819516i \(0.305757\pi\)
\(758\) 48828.7 23514.7i 2.33976 1.12677i
\(759\) 1430.16 + 6265.94i 0.0683946 + 0.299656i
\(760\) −2402.47 + 3012.60i −0.114667 + 0.143787i
\(761\) −25622.8 12339.3i −1.22054 0.587779i −0.291075 0.956700i \(-0.594013\pi\)
−0.929461 + 0.368922i \(0.879727\pi\)
\(762\) 8121.00 10183.4i 0.386080 0.484129i
\(763\) 5927.58 25970.4i 0.281249 1.23223i
\(764\) 29091.0 14009.5i 1.37759 0.663411i
\(765\) −9.07616 + 39.7653i −0.000428953 + 0.00187937i
\(766\) −32774.7 15783.4i −1.54595 0.744490i
\(767\) 50770.5 2.39011
\(768\) 2371.37 0.111419
\(769\) 30040.4 + 14466.7i 1.40869 + 0.678390i 0.974904 0.222625i \(-0.0714625\pi\)
0.433788 + 0.901015i \(0.357177\pi\)
\(770\) −1846.62 8090.59i −0.0864256 0.378655i
\(771\) −1854.50 2325.47i −0.0866254 0.108625i
\(772\) 21563.8 27040.1i 1.00531 1.26062i
\(773\) 31381.8 <