Properties

Label 224.3.v.b.13.9
Level 224
Weight 3
Character 224.13
Analytic conductor 6.104
Analytic rank 0
Dimension 240
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 224.v (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.10355792167\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(60\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 13.9
Character \(\chi\) \(=\) 224.13
Dual form 224.3.v.b.69.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.84088 + 0.781766i) q^{2} +(-3.58432 - 1.48467i) q^{3} +(2.77768 - 2.87828i) q^{4} +(3.04365 + 7.34802i) q^{5} +(7.75897 - 0.0689922i) q^{6} +(-1.24702 - 6.88803i) q^{7} +(-2.86325 + 7.47006i) q^{8} +(4.27913 + 4.27913i) q^{9} +O(q^{10})\) \(q+(-1.84088 + 0.781766i) q^{2} +(-3.58432 - 1.48467i) q^{3} +(2.77768 - 2.87828i) q^{4} +(3.04365 + 7.34802i) q^{5} +(7.75897 - 0.0689922i) q^{6} +(-1.24702 - 6.88803i) q^{7} +(-2.86325 + 7.47006i) q^{8} +(4.27913 + 4.27913i) q^{9} +(-11.3474 - 11.1474i) q^{10} +(-5.50181 - 13.2825i) q^{11} +(-14.2294 + 6.19271i) q^{12} +(-2.01506 + 4.86479i) q^{13} +(7.68043 + 11.7052i) q^{14} -30.8565i q^{15} +(-0.568948 - 15.9899i) q^{16} +22.4482 q^{17} +(-11.2227 - 4.53209i) q^{18} +(-11.7463 + 28.3582i) q^{19} +(29.6039 + 11.6500i) q^{20} +(-5.75678 + 26.5403i) q^{21} +(20.5120 + 20.1504i) q^{22} +(29.8607 + 29.8607i) q^{23} +(21.3534 - 22.5241i) q^{24} +(-27.0520 + 27.0520i) q^{25} +(-0.0936391 - 10.5308i) q^{26} +(4.37740 + 10.5680i) q^{27} +(-23.2895 - 15.5435i) q^{28} +(-0.784167 + 1.89315i) q^{29} +(24.1226 + 56.8031i) q^{30} -6.89652i q^{31} +(13.5477 + 28.9907i) q^{32} +55.7773i q^{33} +(-41.3245 + 17.5493i) q^{34} +(46.8179 - 30.1279i) q^{35} +(24.2026 - 0.430449i) q^{36} +(40.9734 - 16.9717i) q^{37} +(-0.545847 - 61.3869i) q^{38} +(14.4453 - 14.4453i) q^{39} +(-63.6049 + 1.69707i) q^{40} +(-11.9237 + 11.9237i) q^{41} +(-10.1508 - 53.3580i) q^{42} +(23.7088 + 57.2382i) q^{43} +(-53.5131 - 21.0590i) q^{44} +(-18.4190 + 44.4674i) q^{45} +(-78.3139 - 31.6259i) q^{46} -11.6140 q^{47} +(-21.7005 + 58.1576i) q^{48} +(-45.8899 + 17.1790i) q^{49} +(28.6511 - 70.9478i) q^{50} +(-80.4617 - 33.3283i) q^{51} +(8.40500 + 19.3127i) q^{52} +(20.4728 + 49.4257i) q^{53} +(-16.3200 - 16.0323i) q^{54} +(80.8548 - 80.8548i) q^{55} +(55.0245 + 10.4068i) q^{56} +(84.2053 - 84.2053i) q^{57} +(-0.0364399 - 4.09809i) q^{58} +(18.1434 + 43.8020i) q^{59} +(-88.8135 - 85.7096i) q^{60} +(13.0968 + 5.42489i) q^{61} +(5.39147 + 12.6957i) q^{62} +(24.1387 - 34.8109i) q^{63} +(-47.6037 - 42.7772i) q^{64} -41.8797 q^{65} +(-43.6048 - 102.679i) q^{66} +(-41.7582 + 100.813i) q^{67} +(62.3541 - 64.6122i) q^{68} +(-62.6968 - 151.363i) q^{69} +(-62.6333 + 92.0625i) q^{70} +(36.1637 - 36.1637i) q^{71} +(-44.2176 + 19.7132i) q^{72} +(36.3327 - 36.3327i) q^{73} +(-62.1592 + 63.2745i) q^{74} +(137.126 - 56.7996i) q^{75} +(48.9950 + 112.579i) q^{76} +(-84.6297 + 54.4601i) q^{77} +(-15.2992 + 37.8848i) q^{78} -20.3762i q^{79} +(115.762 - 52.8483i) q^{80} -98.8425i q^{81} +(12.6285 - 31.2715i) q^{82} +(26.5074 - 63.9945i) q^{83} +(60.3999 + 90.2902i) q^{84} +(68.3246 + 164.950i) q^{85} +(-88.3920 - 86.8339i) q^{86} +(5.62141 - 5.62141i) q^{87} +(114.974 - 3.06768i) q^{88} +(24.1163 + 24.1163i) q^{89} +(-0.855923 - 96.2585i) q^{90} +(36.0216 + 7.81334i) q^{91} +(168.891 - 3.00376i) q^{92} +(-10.2391 + 24.7193i) q^{93} +(21.3799 - 9.07941i) q^{94} -244.128 q^{95} +(-5.51763 - 124.026i) q^{96} -24.9304i q^{97} +(71.0479 - 67.4996i) q^{98} +(33.2948 - 80.3807i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 8q^{2} - 8q^{4} - 4q^{7} - 8q^{8} - 8q^{9} + O(q^{10}) \) \( 240q - 8q^{2} - 8q^{4} - 4q^{7} - 8q^{8} - 8q^{9} - 8q^{11} + 12q^{14} - 112q^{16} - 176q^{18} - 4q^{21} - 192q^{22} + 128q^{23} - 8q^{25} + 56q^{28} - 8q^{29} - 16q^{30} - 8q^{32} + 92q^{35} + 192q^{36} - 8q^{37} - 8q^{39} - 424q^{42} + 128q^{43} - 16q^{44} - 8q^{46} - 320q^{50} - 80q^{51} - 192q^{53} + 608q^{56} - 8q^{57} - 712q^{58} + 264q^{60} + 496q^{63} - 272q^{64} - 16q^{65} + 304q^{67} + 320q^{70} + 504q^{71} - 8q^{72} + 232q^{74} + 164q^{77} + 560q^{78} - 1000q^{84} - 208q^{85} - 8q^{86} - 800q^{88} + 188q^{91} + 1560q^{92} + 64q^{93} - 16q^{95} - 376q^{98} + 64q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{7}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.84088 + 0.781766i −0.920440 + 0.390883i
\(3\) −3.58432 1.48467i −1.19477 0.494891i −0.305467 0.952203i \(-0.598812\pi\)
−0.889307 + 0.457311i \(0.848812\pi\)
\(4\) 2.77768 2.87828i 0.694421 0.719569i
\(5\) 3.04365 + 7.34802i 0.608730 + 1.46960i 0.864382 + 0.502836i \(0.167710\pi\)
−0.255652 + 0.966769i \(0.582290\pi\)
\(6\) 7.75897 0.0689922i 1.29316 0.0114987i
\(7\) −1.24702 6.88803i −0.178145 0.984004i
\(8\) −2.86325 + 7.47006i −0.357906 + 0.933758i
\(9\) 4.27913 + 4.27913i 0.475459 + 0.475459i
\(10\) −11.3474 11.1474i −1.13474 1.11474i
\(11\) −5.50181 13.2825i −0.500164 1.20750i −0.949394 0.314087i \(-0.898302\pi\)
0.449230 0.893416i \(-0.351698\pi\)
\(12\) −14.2294 + 6.19271i −1.18578 + 0.516059i
\(13\) −2.01506 + 4.86479i −0.155005 + 0.374215i −0.982237 0.187646i \(-0.939914\pi\)
0.827232 + 0.561861i \(0.189914\pi\)
\(14\) 7.68043 + 11.7052i 0.548602 + 0.836083i
\(15\) 30.8565i 2.05710i
\(16\) −0.568948 15.9899i −0.0355592 0.999368i
\(17\) 22.4482 1.32048 0.660242 0.751053i \(-0.270454\pi\)
0.660242 + 0.751053i \(0.270454\pi\)
\(18\) −11.2227 4.53209i −0.623481 0.251783i
\(19\) −11.7463 + 28.3582i −0.618228 + 1.49253i 0.235531 + 0.971867i \(0.424317\pi\)
−0.853759 + 0.520668i \(0.825683\pi\)
\(20\) 29.6039 + 11.6500i 1.48020 + 0.582501i
\(21\) −5.75678 + 26.5403i −0.274132 + 1.26382i
\(22\) 20.5120 + 20.1504i 0.932364 + 0.915929i
\(23\) 29.8607 + 29.8607i 1.29829 + 1.29829i 0.929522 + 0.368768i \(0.120220\pi\)
0.368768 + 0.929522i \(0.379780\pi\)
\(24\) 21.3534 22.5241i 0.889725 0.938505i
\(25\) −27.0520 + 27.0520i −1.08208 + 1.08208i
\(26\) −0.0936391 10.5308i −0.00360150 0.405031i
\(27\) 4.37740 + 10.5680i 0.162126 + 0.391407i
\(28\) −23.2895 15.5435i −0.831767 0.555125i
\(29\) −0.784167 + 1.89315i −0.0270402 + 0.0652809i −0.936823 0.349804i \(-0.886248\pi\)
0.909783 + 0.415085i \(0.136248\pi\)
\(30\) 24.1226 + 56.8031i 0.804086 + 1.89344i
\(31\) 6.89652i 0.222468i −0.993794 0.111234i \(-0.964520\pi\)
0.993794 0.111234i \(-0.0354804\pi\)
\(32\) 13.5477 + 28.9907i 0.423366 + 0.905959i
\(33\) 55.7773i 1.69022i
\(34\) −41.3245 + 17.5493i −1.21543 + 0.516155i
\(35\) 46.8179 30.1279i 1.33766 0.860796i
\(36\) 24.2026 0.430449i 0.672295 0.0119569i
\(37\) 40.9734 16.9717i 1.10739 0.458695i 0.247351 0.968926i \(-0.420440\pi\)
0.860038 + 0.510231i \(0.170440\pi\)
\(38\) −0.545847 61.3869i −0.0143644 1.61544i
\(39\) 14.4453 14.4453i 0.370391 0.370391i
\(40\) −63.6049 + 1.69707i −1.59012 + 0.0424267i
\(41\) −11.9237 + 11.9237i −0.290821 + 0.290821i −0.837405 0.546584i \(-0.815928\pi\)
0.546584 + 0.837405i \(0.315928\pi\)
\(42\) −10.1508 53.3580i −0.241685 1.27043i
\(43\) 23.7088 + 57.2382i 0.551368 + 1.33112i 0.916452 + 0.400145i \(0.131040\pi\)
−0.365084 + 0.930975i \(0.618960\pi\)
\(44\) −53.5131 21.0590i −1.21621 0.478613i
\(45\) −18.4190 + 44.4674i −0.409311 + 0.988164i
\(46\) −78.3139 31.6259i −1.70248 0.687519i
\(47\) −11.6140 −0.247106 −0.123553 0.992338i \(-0.539429\pi\)
−0.123553 + 0.992338i \(0.539429\pi\)
\(48\) −21.7005 + 58.1576i −0.452093 + 1.21162i
\(49\) −45.8899 + 17.1790i −0.936529 + 0.350591i
\(50\) 28.6511 70.9478i 0.573023 1.41896i
\(51\) −80.4617 33.3283i −1.57768 0.653497i
\(52\) 8.40500 + 19.3127i 0.161635 + 0.371399i
\(53\) 20.4728 + 49.4257i 0.386279 + 0.932561i 0.990721 + 0.135912i \(0.0433963\pi\)
−0.604442 + 0.796650i \(0.706604\pi\)
\(54\) −16.3200 16.0323i −0.302221 0.296894i
\(55\) 80.8548 80.8548i 1.47009 1.47009i
\(56\) 55.0245 + 10.4068i 0.982581 + 0.185836i
\(57\) 84.2053 84.2053i 1.47729 1.47729i
\(58\) −0.0364399 4.09809i −0.000628274 0.0706567i
\(59\) 18.1434 + 43.8020i 0.307515 + 0.742406i 0.999784 + 0.0207674i \(0.00661095\pi\)
−0.692269 + 0.721639i \(0.743389\pi\)
\(60\) −88.8135 85.7096i −1.48023 1.42849i
\(61\) 13.0968 + 5.42489i 0.214702 + 0.0889326i 0.487442 0.873155i \(-0.337930\pi\)
−0.272740 + 0.962088i \(0.587930\pi\)
\(62\) 5.39147 + 12.6957i 0.0869592 + 0.204769i
\(63\) 24.1387 34.8109i 0.383153 0.552555i
\(64\) −47.6037 42.7772i −0.743807 0.668394i
\(65\) −41.8797 −0.644304
\(66\) −43.6048 102.679i −0.660678 1.55575i
\(67\) −41.7582 + 100.813i −0.623256 + 1.50467i 0.224602 + 0.974451i \(0.427892\pi\)
−0.847858 + 0.530223i \(0.822108\pi\)
\(68\) 62.3541 64.6122i 0.916972 0.950180i
\(69\) −62.6968 151.363i −0.908649 2.19367i
\(70\) −62.6333 + 92.0625i −0.894761 + 1.31518i
\(71\) 36.1637 36.1637i 0.509347 0.509347i −0.404979 0.914326i \(-0.632721\pi\)
0.914326 + 0.404979i \(0.132721\pi\)
\(72\) −44.2176 + 19.7132i −0.614133 + 0.273794i
\(73\) 36.3327 36.3327i 0.497708 0.497708i −0.413016 0.910724i \(-0.635525\pi\)
0.910724 + 0.413016i \(0.135525\pi\)
\(74\) −62.1592 + 63.2745i −0.839989 + 0.855061i
\(75\) 137.126 56.7996i 1.82835 0.757328i
\(76\) 48.9950 + 112.579i 0.644671 + 1.48131i
\(77\) −84.6297 + 54.4601i −1.09909 + 0.707275i
\(78\) −15.2992 + 37.8848i −0.196143 + 0.485703i
\(79\) 20.3762i 0.257927i −0.991649 0.128963i \(-0.958835\pi\)
0.991649 0.128963i \(-0.0411650\pi\)
\(80\) 115.762 52.8483i 1.44703 0.660603i
\(81\) 98.8425i 1.22028i
\(82\) 12.6285 31.2715i 0.154006 0.381360i
\(83\) 26.5074 63.9945i 0.319366 0.771018i −0.679922 0.733285i \(-0.737986\pi\)
0.999288 0.0377332i \(-0.0120137\pi\)
\(84\) 60.3999 + 90.2902i 0.719046 + 1.07488i
\(85\) 68.3246 + 164.950i 0.803819 + 1.94059i
\(86\) −88.3920 86.8339i −1.02781 1.00970i
\(87\) 5.62141 5.62141i 0.0646139 0.0646139i
\(88\) 114.974 3.06768i 1.30653 0.0348600i
\(89\) 24.1163 + 24.1163i 0.270969 + 0.270969i 0.829490 0.558521i \(-0.188631\pi\)
−0.558521 + 0.829490i \(0.688631\pi\)
\(90\) −0.855923 96.2585i −0.00951025 1.06954i
\(91\) 36.0216 + 7.81334i 0.395842 + 0.0858609i
\(92\) 168.891 3.00376i 1.83577 0.0326496i
\(93\) −10.2391 + 24.7193i −0.110098 + 0.265799i
\(94\) 21.3799 9.07941i 0.227446 0.0965895i
\(95\) −244.128 −2.56977
\(96\) −5.51763 124.026i −0.0574753 1.29194i
\(97\) 24.9304i 0.257014i −0.991709 0.128507i \(-0.958982\pi\)
0.991709 0.128507i \(-0.0410185\pi\)
\(98\) 71.0479 67.4996i 0.724979 0.688771i
\(99\) 33.2948 80.3807i 0.336311 0.811927i
\(100\) 2.72123 + 153.005i 0.0272123 + 1.53005i
\(101\) 4.89050 + 11.8067i 0.0484208 + 0.116898i 0.946239 0.323468i \(-0.104849\pi\)
−0.897818 + 0.440366i \(0.854849\pi\)
\(102\) 174.175 1.54875i 1.70760 0.0151839i
\(103\) −22.5145 22.5145i −0.218587 0.218587i 0.589316 0.807903i \(-0.299397\pi\)
−0.807903 + 0.589316i \(0.799397\pi\)
\(104\) −30.5707 28.9817i −0.293949 0.278670i
\(105\) −212.541 + 38.4785i −2.02420 + 0.366462i
\(106\) −76.3274 74.9819i −0.720069 0.707377i
\(107\) −13.6312 32.9087i −0.127395 0.307558i 0.847294 0.531124i \(-0.178230\pi\)
−0.974689 + 0.223566i \(0.928230\pi\)
\(108\) 42.5766 + 16.7551i 0.394228 + 0.155140i
\(109\) −33.4117 13.8396i −0.306529 0.126968i 0.224116 0.974562i \(-0.428050\pi\)
−0.530645 + 0.847594i \(0.678050\pi\)
\(110\) −85.6345 + 212.054i −0.778496 + 1.92776i
\(111\) −172.059 −1.55008
\(112\) −109.429 + 23.8586i −0.977047 + 0.213023i
\(113\) 17.8480i 0.157947i −0.996877 0.0789736i \(-0.974836\pi\)
0.996877 0.0789736i \(-0.0251643\pi\)
\(114\) −89.1830 + 220.841i −0.782307 + 1.93720i
\(115\) −128.531 + 310.302i −1.11766 + 2.69828i
\(116\) 3.27083 + 7.51561i 0.0281968 + 0.0647897i
\(117\) −29.4398 + 12.1944i −0.251622 + 0.104225i
\(118\) −67.6427 66.4503i −0.573243 0.563139i
\(119\) −27.9933 154.624i −0.235238 1.29936i
\(120\) 230.500 + 88.3497i 1.92083 + 0.736248i
\(121\) −60.5960 + 60.5960i −0.500793 + 0.500793i
\(122\) −28.3507 + 0.252092i −0.232383 + 0.00206633i
\(123\) 60.4410 25.0355i 0.491390 0.203540i
\(124\) −19.8501 19.1564i −0.160081 0.154487i
\(125\) −97.4147 40.3505i −0.779318 0.322804i
\(126\) −17.2224 + 82.9536i −0.136685 + 0.658362i
\(127\) −168.314 −1.32531 −0.662654 0.748926i \(-0.730570\pi\)
−0.662654 + 0.748926i \(0.730570\pi\)
\(128\) 121.074 + 41.5329i 0.945894 + 0.324476i
\(129\) 240.360i 1.86325i
\(130\) 77.0956 32.7402i 0.593043 0.251847i
\(131\) −93.7483 38.8318i −0.715636 0.296426i −0.00500155 0.999987i \(-0.501592\pi\)
−0.710635 + 0.703561i \(0.751592\pi\)
\(132\) 160.542 + 154.932i 1.21623 + 1.17372i
\(133\) 209.980 + 45.5460i 1.57879 + 0.342451i
\(134\) −1.94048 218.230i −0.0144812 1.62858i
\(135\) −64.3305 + 64.3305i −0.476522 + 0.476522i
\(136\) −64.2748 + 167.690i −0.472609 + 1.23301i
\(137\) 105.597 + 105.597i 0.770783 + 0.770783i 0.978243 0.207461i \(-0.0665199\pi\)
−0.207461 + 0.978243i \(0.566520\pi\)
\(138\) 233.748 + 229.628i 1.69383 + 1.66397i
\(139\) 219.339 90.8533i 1.57798 0.653621i 0.589888 0.807485i \(-0.299172\pi\)
0.988092 + 0.153864i \(0.0491718\pi\)
\(140\) 43.3291 218.441i 0.309494 1.56029i
\(141\) 41.6282 + 17.2430i 0.295236 + 0.122291i
\(142\) −38.3015 + 94.8445i −0.269729 + 0.667919i
\(143\) 75.7032 0.529393
\(144\) 65.9882 70.8575i 0.458252 0.492066i
\(145\) −16.2976 −0.112397
\(146\) −38.4805 + 95.2878i −0.263565 + 0.652656i
\(147\) 189.989 + 6.55667i 1.29244 + 0.0446032i
\(148\) 64.9617 165.075i 0.438931 1.11537i
\(149\) 44.5843 + 107.636i 0.299223 + 0.722389i 0.999960 + 0.00896881i \(0.00285490\pi\)
−0.700736 + 0.713420i \(0.747145\pi\)
\(150\) −208.029 + 211.762i −1.38686 + 1.41175i
\(151\) 81.4542 + 81.4542i 0.539432 + 0.539432i 0.923362 0.383930i \(-0.125430\pi\)
−0.383930 + 0.923362i \(0.625430\pi\)
\(152\) −178.205 168.942i −1.17240 1.11146i
\(153\) 96.0590 + 96.0590i 0.627837 + 0.627837i
\(154\) 113.218 166.415i 0.735182 1.08062i
\(155\) 50.6758 20.9906i 0.326941 0.135423i
\(156\) −1.45309 81.7018i −0.00931465 0.523729i
\(157\) −72.4102 29.9933i −0.461212 0.191040i 0.139965 0.990156i \(-0.455301\pi\)
−0.601176 + 0.799116i \(0.705301\pi\)
\(158\) 15.9294 + 37.5102i 0.100819 + 0.237406i
\(159\) 207.553i 1.30537i
\(160\) −171.790 + 187.786i −1.07369 + 1.17367i
\(161\) 168.444 242.918i 1.04624 1.50881i
\(162\) 77.2717 + 181.957i 0.476986 + 1.12319i
\(163\) 72.3739 174.726i 0.444012 1.07194i −0.530516 0.847675i \(-0.678002\pi\)
0.974528 0.224265i \(-0.0719981\pi\)
\(164\) 1.19943 + 67.4397i 0.00731361 + 0.411218i
\(165\) −409.853 + 169.767i −2.48396 + 1.02889i
\(166\) 1.23179 + 138.529i 0.00742040 + 0.834511i
\(167\) 24.4033 + 24.4033i 0.146128 + 0.146128i 0.776386 0.630258i \(-0.217051\pi\)
−0.630258 + 0.776386i \(0.717051\pi\)
\(168\) −181.775 118.995i −1.08199 0.708303i
\(169\) 99.8953 + 99.8953i 0.591097 + 0.591097i
\(170\) −254.730 250.240i −1.49841 1.47200i
\(171\) −171.613 + 71.0842i −1.00358 + 0.415697i
\(172\) 230.603 + 90.7490i 1.34071 + 0.527610i
\(173\) −10.3427 + 24.9694i −0.0597842 + 0.144332i −0.950949 0.309348i \(-0.899889\pi\)
0.891165 + 0.453680i \(0.149889\pi\)
\(174\) −5.95372 + 14.7430i −0.0342168 + 0.0847297i
\(175\) 220.069 + 152.601i 1.25754 + 0.872003i
\(176\) −209.256 + 95.5303i −1.18895 + 0.542786i
\(177\) 183.937i 1.03919i
\(178\) −63.2484 25.5419i −0.355328 0.143494i
\(179\) 265.173 + 109.838i 1.48141 + 0.613621i 0.969429 0.245373i \(-0.0789106\pi\)
0.511984 + 0.858995i \(0.328911\pi\)
\(180\) 76.8273 + 176.531i 0.426818 + 0.980729i
\(181\) −262.342 + 108.666i −1.44940 + 0.600362i −0.962057 0.272847i \(-0.912035\pi\)
−0.487345 + 0.873209i \(0.662035\pi\)
\(182\) −72.4197 + 13.7771i −0.397911 + 0.0756981i
\(183\) −38.8891 38.8891i −0.212509 0.212509i
\(184\) −308.559 + 137.563i −1.67695 + 0.747623i
\(185\) 249.417 + 249.417i 1.34820 + 1.34820i
\(186\) −0.475806 53.5099i −0.00255810 0.287688i
\(187\) −123.506 298.170i −0.660459 1.59449i
\(188\) −32.2600 + 33.4282i −0.171595 + 0.177810i
\(189\) 67.3338 43.3301i 0.356264 0.229260i
\(190\) 449.411 190.851i 2.36532 1.00448i
\(191\) −11.0208 −0.0577004 −0.0288502 0.999584i \(-0.509185\pi\)
−0.0288502 + 0.999584i \(0.509185\pi\)
\(192\) 107.116 + 224.003i 0.557898 + 1.16668i
\(193\) −137.846 −0.714229 −0.357115 0.934061i \(-0.616239\pi\)
−0.357115 + 0.934061i \(0.616239\pi\)
\(194\) 19.4897 + 45.8938i 0.100462 + 0.236566i
\(195\) 150.110 + 62.1778i 0.769797 + 0.318860i
\(196\) −78.0219 + 179.802i −0.398071 + 0.917355i
\(197\) 7.74205 3.20686i 0.0392998 0.0162785i −0.362947 0.931810i \(-0.618229\pi\)
0.402247 + 0.915531i \(0.368229\pi\)
\(198\) 1.54719 + 174.000i 0.00781411 + 0.878788i
\(199\) −98.4669 98.4669i −0.494809 0.494809i 0.415009 0.909817i \(-0.363779\pi\)
−0.909817 + 0.415009i \(0.863779\pi\)
\(200\) −124.623 279.536i −0.623117 1.39768i
\(201\) 299.349 299.349i 1.48930 1.48930i
\(202\) −18.2329 17.9115i −0.0902619 0.0886709i
\(203\) 14.0179 + 3.04058i 0.0690537 + 0.0149782i
\(204\) −319.425 + 139.015i −1.56581 + 0.681448i
\(205\) −123.907 51.3239i −0.604423 0.250360i
\(206\) 59.0475 + 23.8454i 0.286638 + 0.115754i
\(207\) 255.555i 1.23457i
\(208\) 78.9339 + 29.4528i 0.379490 + 0.141600i
\(209\) 441.294 2.11146
\(210\) 361.181 236.991i 1.71991 1.12853i
\(211\) −215.375 89.2112i −1.02073 0.422802i −0.191375 0.981517i \(-0.561295\pi\)
−0.829360 + 0.558715i \(0.811295\pi\)
\(212\) 199.128 + 78.3627i 0.939283 + 0.369635i
\(213\) −183.313 + 75.9309i −0.860626 + 0.356483i
\(214\) 50.8203 + 49.9245i 0.237478 + 0.233292i
\(215\) −348.426 + 348.426i −1.62059 + 1.62059i
\(216\) −91.4770 + 2.44073i −0.423505 + 0.0112997i
\(217\) −47.5035 + 8.60007i −0.218910 + 0.0396317i
\(218\) 72.3262 0.643118i 0.331771 0.00295008i
\(219\) −184.170 + 76.2858i −0.840960 + 0.348337i
\(220\) −8.13340 457.312i −0.0369700 2.07869i
\(221\) −45.2346 + 109.206i −0.204681 + 0.494145i
\(222\) 316.740 134.510i 1.42676 0.605901i
\(223\) 84.0310i 0.376820i 0.982090 + 0.188410i \(0.0603335\pi\)
−0.982090 + 0.188410i \(0.939667\pi\)
\(224\) 182.794 129.469i 0.816047 0.577986i
\(225\) −231.518 −1.02897
\(226\) 13.9530 + 32.8561i 0.0617389 + 0.145381i
\(227\) −238.503 98.7913i −1.05068 0.435204i −0.210543 0.977585i \(-0.567523\pi\)
−0.840133 + 0.542381i \(0.817523\pi\)
\(228\) −8.47043 476.262i −0.0371510 2.08887i
\(229\) −116.883 282.179i −0.510404 1.23222i −0.943649 0.330948i \(-0.892631\pi\)
0.433245 0.901276i \(1.64263\pi\)
\(230\) −5.97280 671.711i −0.0259687 2.92048i
\(231\) 384.195 69.5551i 1.66318 0.301104i
\(232\) −11.8967 11.2783i −0.0512787 0.0486134i
\(233\) −0.576531 0.576531i −0.00247438 0.00247438i 0.705869 0.708343i \(-0.250557\pi\)
−0.708343 + 0.705869i \(0.750557\pi\)
\(234\) 44.6620 45.4634i 0.190863 0.194288i
\(235\) −35.3489 85.3398i −0.150421 0.363148i
\(236\) 176.471 + 69.4464i 0.747757 + 0.294264i
\(237\) −30.2520 + 73.0349i −0.127646 + 0.308164i
\(238\) 172.412 + 262.760i 0.724421 + 1.10404i
\(239\) 153.166i 0.640860i 0.947272 + 0.320430i \(0.103827\pi\)
−0.947272 + 0.320430i \(0.896173\pi\)
\(240\) −493.392 + 17.5557i −2.05580 + 0.0731489i
\(241\) 117.727 0.488492 0.244246 0.969713i \(-0.421459\pi\)
0.244246 + 0.969713i \(0.421459\pi\)
\(242\) 64.1781 158.922i 0.265199 0.656702i
\(243\) −107.352 + 259.171i −0.441779 + 1.06655i
\(244\) 51.9932 22.6277i 0.213087 0.0927365i
\(245\) −265.904 284.913i −1.08532 1.16291i
\(246\) −91.6927 + 93.3380i −0.372735 + 0.379423i
\(247\) −114.287 114.287i −0.462700 0.462700i
\(248\) 51.5174 + 19.7464i 0.207732 + 0.0796227i
\(249\) −190.022 + 190.022i −0.763140 + 0.763140i
\(250\) 210.874 1.87507i 0.843494 0.00750028i
\(251\) 127.133 + 306.925i 0.506505 + 1.22281i 0.945883 + 0.324508i \(0.105199\pi\)
−0.439378 + 0.898302i \(0.644801\pi\)
\(252\) −33.1460 166.172i −0.131532 0.659411i
\(253\) 232.338 560.913i 0.918331 2.21705i
\(254\) 309.846 131.582i 1.21987 0.518040i
\(255\) 692.674i 2.71637i
\(256\) −255.353 + 18.1948i −0.997471 + 0.0710735i
\(257\) 15.5019i 0.0603185i −0.999545 0.0301593i \(-0.990399\pi\)
0.999545 0.0301593i \(-0.00960145\pi\)
\(258\) 187.905 + 442.474i 0.728314 + 1.71501i
\(259\) −167.996 261.062i −0.648634 1.00796i
\(260\) −116.329 + 120.541i −0.447418 + 0.463621i
\(261\) −11.4566 + 4.74547i −0.0438949 + 0.0181819i
\(262\) 202.937 1.80450i 0.774568 0.00688740i
\(263\) 165.858 165.858i 0.630637 0.630637i −0.317591 0.948228i \(-0.602874\pi\)
0.948228 + 0.317591i \(0.102874\pi\)
\(264\) −416.660 159.704i −1.57826 0.604939i
\(265\) −300.869 + 300.869i −1.13536 + 1.13536i
\(266\) −422.154 + 80.3102i −1.58705 + 0.301918i
\(267\) −50.6356 122.245i −0.189646 0.457847i
\(268\) 174.177 + 400.219i 0.649915 + 1.49335i
\(269\) 82.8421 199.999i 0.307963 0.743489i −0.691808 0.722082i \(-0.743185\pi\)
0.999771 0.0214073i \(-0.00681467\pi\)
\(270\) 68.1333 168.716i 0.252346 0.624874i
\(271\) −180.181 −0.664873 −0.332437 0.943126i \(-0.607871\pi\)
−0.332437 + 0.943126i \(0.607871\pi\)
\(272\) −12.7719 358.945i −0.0469554 1.31965i
\(273\) −117.513 81.4859i −0.430450 0.298483i
\(274\) −276.944 111.840i −1.01075 0.408174i
\(275\) 508.154 + 210.484i 1.84783 + 0.765397i
\(276\) −609.818 239.981i −2.20948 0.869497i
\(277\) −49.7249 120.047i −0.179512 0.433381i 0.808352 0.588699i \(-0.200360\pi\)
−0.987865 + 0.155318i \(0.950360\pi\)
\(278\) −332.751 + 338.722i −1.19695 + 1.21842i
\(279\) 29.5111 29.5111i 0.105775 0.105775i
\(280\) 91.0057 + 435.996i 0.325021 + 1.55713i
\(281\) −36.3273 + 36.3273i −0.129279 + 0.129279i −0.768785 0.639507i \(-0.779139\pi\)
0.639507 + 0.768785i \(0.279139\pi\)
\(282\) −90.1125 + 0.801273i −0.319548 + 0.00284139i
\(283\) 190.134 + 459.023i 0.671851 + 1.62199i 0.778463 + 0.627690i \(0.216000\pi\)
−0.106612 + 0.994301i \(0.534000\pi\)
\(284\) −3.63780 204.540i −0.0128091 0.720212i
\(285\) 875.034 + 362.451i 3.07029 + 1.27176i
\(286\) −139.361 + 59.1822i −0.487275 + 0.206931i
\(287\) 96.9995 + 67.2615i 0.337977 + 0.234361i
\(288\) −66.0825 + 182.027i −0.229453 + 0.632040i
\(289\) 214.924 0.743680
\(290\) 30.0020 12.7409i 0.103455 0.0439342i
\(291\) −37.0135 + 89.3584i −0.127194 + 0.307074i
\(292\) −3.65480 205.496i −0.0125164 0.703754i
\(293\) −25.7936 62.2711i −0.0880326 0.212529i 0.873732 0.486408i \(-0.161693\pi\)
−0.961764 + 0.273879i \(0.911693\pi\)
\(294\) −354.873 + 136.457i −1.20705 + 0.464140i
\(295\) −266.636 + 266.636i −0.903851 + 0.903851i
\(296\) 9.46303 + 354.668i 0.0319697 + 1.19820i
\(297\) 116.286 116.286i 0.391535 0.391535i
\(298\) −166.220 163.291i −0.557787 0.547955i
\(299\) −205.437 + 85.0947i −0.687080 + 0.284598i
\(300\) 217.409 552.459i 0.724695 1.84153i
\(301\) 364.693 234.684i 1.21160 0.779681i
\(302\) −213.626 86.2693i −0.707370 0.285660i
\(303\) 49.5798i 0.163630i
\(304\) 460.127 + 171.688i 1.51357 + 0.564764i
\(305\) 112.747i 0.369664i
\(306\) −251.929 101.738i −0.823297 0.332476i
\(307\) −88.8731 + 214.559i −0.289489 + 0.698888i −0.999988 0.00480961i \(-0.998469\pi\)
0.710500 + 0.703698i \(0.248469\pi\)
\(308\) −78.3231 + 394.861i −0.254296 + 1.28202i
\(309\) 47.2724 + 114.126i 0.152985 + 0.369339i
\(310\) −76.8784 + 78.2578i −0.247995 + 0.252445i
\(311\) 127.342 127.342i 0.409459 0.409459i −0.472091 0.881550i \(-0.656501\pi\)
0.881550 + 0.472091i \(0.156501\pi\)
\(312\) 66.5466 + 149.267i 0.213290 + 0.478421i
\(313\) −5.09596 5.09596i −0.0162810 0.0162810i 0.698919 0.715200i \(-0.253665\pi\)
−0.715200 + 0.698919i \(0.753665\pi\)
\(314\) 156.746 1.39378i 0.499192 0.00443878i
\(315\) 329.261 + 71.4191i 1.04527 + 0.226727i
\(316\) −58.6484 56.5987i −0.185596 0.179110i
\(317\) −100.992 + 243.816i −0.318586 + 0.769134i 0.680744 + 0.732522i \(0.261657\pi\)
−0.999330 + 0.0366126i \(0.988343\pi\)
\(318\) 162.258 + 382.081i 0.510245 + 1.20151i
\(319\) 29.4601 0.0923514
\(320\) 169.439 479.992i 0.529498 1.49997i
\(321\) 138.193i 0.430508i
\(322\) −120.181 + 578.867i −0.373233 + 1.79772i
\(323\) −263.685 + 636.591i −0.816361 + 1.97087i
\(324\) −284.496 274.553i −0.878074 0.847386i
\(325\) −77.0908 186.114i −0.237202 0.572657i
\(326\) 3.36319 + 378.230i 0.0103165 + 1.16021i
\(327\) 99.2108 + 99.2108i 0.303397 + 0.303397i
\(328\) −54.9301 123.211i −0.167470 0.375643i
\(329\) 14.4828 + 79.9974i 0.0440207 + 0.243153i
\(330\) 621.772 632.929i 1.88416 1.91797i
\(331\) −146.551 353.806i −0.442753 1.06890i −0.974979 0.222297i \(-0.928644\pi\)
0.532226 0.846602i \(-0.321356\pi\)
\(332\) −110.565 254.052i −0.333026 0.765217i
\(333\) 247.955 + 102.706i 0.744609 + 0.308427i
\(334\) −64.0012 25.8459i −0.191620 0.0773829i
\(335\) −867.875 −2.59067
\(336\) 427.652 + 76.9501i 1.27277 + 0.229018i
\(337\) 218.464i 0.648260i 0.946012 + 0.324130i \(0.105072\pi\)
−0.946012 + 0.324130i \(0.894928\pi\)
\(338\) −261.990 105.801i −0.775119 0.313020i
\(339\) −26.4985 + 63.9731i −0.0781667 + 0.188711i
\(340\) 664.556 + 261.522i 1.95458 + 0.769183i
\(341\) −91.6033 + 37.9433i −0.268631 + 0.111271i
\(342\) 260.347 265.018i 0.761248 0.774908i
\(343\) 175.555 + 294.669i 0.511821 + 0.859092i
\(344\) −495.457 + 13.2195i −1.44028 + 0.0384287i
\(345\) 921.395 921.395i 2.67071 2.67071i
\(346\) −0.480619 54.0512i −0.00138907 0.156217i
\(347\) −329.609 + 136.528i −0.949881 + 0.393454i −0.803186 0.595728i \(-0.796864\pi\)
−0.146695 + 0.989182i \(0.546864\pi\)
\(348\) −0.565472 31.7945i −0.00162492 0.0913634i
\(349\) −609.467 252.450i −1.74632 0.723351i −0.998212 0.0597797i \(-0.980960\pi\)
−0.748113 0.663572i \(1.23096\pi\)
\(350\) −524.419 108.877i −1.49834 0.311077i
\(351\) −60.2317 −0.171600
\(352\) 310.533 339.449i 0.882196 0.964344i
\(353\) 33.5517i 0.0950472i −0.998870 0.0475236i \(-0.984867\pi\)
0.998870 0.0475236i \(-0.0151329\pi\)
\(354\) 143.796 + 338.607i 0.406203 + 0.956516i
\(355\) 375.801 + 155.662i 1.05859 + 0.438484i
\(356\) 136.401 2.42592i 0.383148 0.00681437i
\(357\) −129.230 + 595.783i −0.361987 + 1.66886i
\(358\) −574.020 + 5.10413i −1.60341 + 0.0142574i
\(359\) 58.5826 58.5826i 0.163183 0.163183i −0.620792 0.783975i \(-0.713189\pi\)
0.783975 + 0.620792i \(0.213189\pi\)
\(360\) −279.436 264.912i −0.776211 0.735867i
\(361\) −410.943 410.943i −1.13835 1.13835i
\(362\) 397.989 405.130i 1.09942 1.11914i
\(363\) 307.161 127.230i 0.846173 0.350496i
\(364\) 122.546 81.9772i 0.336664 0.225212i
\(365\) 377.557 + 156.389i 1.03440 + 0.428464i
\(366\) 101.992 + 41.1880i 0.278668 + 0.112536i
\(367\) 496.455 1.35274 0.676369 0.736563i \(-0.263553\pi\)
0.676369 + 0.736563i \(0.263553\pi\)
\(368\) 460.479 494.457i 1.25130 1.34363i
\(369\) −102.046 −0.276547
\(370\) −654.133 264.161i −1.76793 0.713950i
\(371\) 314.916 202.652i 0.848830 0.546232i
\(372\) 42.7082 + 98.1334i 0.114807 + 0.263800i
\(373\) 71.1398 + 171.747i 0.190723 + 0.460447i 0.990097 0.140388i \(-0.0448349\pi\)
−0.799373 + 0.600835i \(0.794835\pi\)
\(374\) 460.459 + 452.342i 1.23117 + 1.20947i
\(375\) 289.258 + 289.258i 0.771355 + 0.771355i
\(376\) 33.2537 86.7571i 0.0884406 0.230737i
\(377\) −7.62961 7.62961i −0.0202377 0.0202377i
\(378\) −90.0796 + 132.405i −0.238306 + 0.350277i
\(379\) 11.3959 4.72034i 0.0300683 0.0124547i −0.367599 0.929985i \(-0.619820\pi\)
0.397667 + 0.917530i \(0.369820\pi\)
\(380\) −678.111 + 702.668i −1.78450 + 1.84913i
\(381\) 603.291 + 249.892i 1.58344 + 0.655883i
\(382\) 20.2879 8.61567i 0.0531098 0.0225541i
\(383\) 714.702i 1.86606i 0.359794 + 0.933032i \(0.382847\pi\)
−0.359794 + 0.933032i \(0.617153\pi\)
\(384\) −372.307 328.623i −0.969549 0.855790i
\(385\) −657.758 456.103i −1.70846 1.18468i
\(386\) 253.758 107.764i 0.657405 0.279180i
\(387\) −143.477 + 346.383i −0.370740 + 0.895047i
\(388\) −71.7565 69.2487i −0.184939 0.178476i
\(389\) 249.801 103.471i 0.642162 0.265992i −0.0377486 0.999287i \(-0.512019\pi\)
0.679911 + 0.733295i \(0.262019\pi\)
\(390\) −324.944 + 2.88937i −0.833189 + 0.00740865i
\(391\) 670.319 + 670.319i 1.71437 + 1.71437i
\(392\) 3.06620 391.988i 0.00782194 0.999969i
\(393\) 278.371 + 278.371i 0.708324 + 0.708324i
\(394\) −11.7452 + 11.9559i −0.0298101 + 0.0303450i
\(395\) 149.725 62.0181i 0.379050 0.157008i
\(396\) −138.876 319.104i −0.350696 0.805818i
\(397\) 79.2933 191.431i 0.199731 0.482194i −0.792001 0.610520i \(-0.790960\pi\)
0.991732 + 0.128326i \(0.0409605\pi\)
\(398\) 258.244 + 104.288i 0.648854 + 0.262030i
\(399\) −685.014 475.003i −1.71683 1.19048i
\(400\) 447.949 + 417.167i 1.11987 + 1.04292i
\(401\) 524.533i 1.30806i −0.756468 0.654031i \(-0.773076\pi\)
0.756468 0.654031i \(-0.226924\pi\)
\(402\) −317.045 + 785.088i −0.788670 + 1.95295i
\(403\) 33.5501 + 13.8969i 0.0832509 + 0.0344837i
\(404\) 47.5672 + 18.7191i 0.117741 + 0.0463344i
\(405\) 726.297 300.842i 1.79333 0.742820i
\(406\) −28.1823 + 5.36138i −0.0694146 + 0.0132054i
\(407\) −450.855 450.855i −1.10775 1.10775i
\(408\) 479.346 505.627i 1.17487 1.23928i
\(409\) −21.1430 21.1430i −0.0516944 0.0516944i 0.680787 0.732481i \(-0.261638\pi\)
−0.732481 + 0.680787i \(0.761638\pi\)
\(410\) 268.221 2.38500i 0.654197 0.00581707i
\(411\) −221.717 535.272i −0.539457 1.30236i
\(412\) −127.341 + 2.26479i −0.309080 + 0.00549706i
\(413\) 279.084 179.594i 0.675749 0.434852i
\(414\) −199.785 470.447i −0.482572 1.13635i
\(415\) 550.912 1.32750
\(416\) −168.333 + 7.48876i −0.404647 + 0.0180018i
\(417\) −921.070 −2.20880
\(418\) −812.370 + 344.989i −1.94347 + 0.825333i
\(419\) −265.757 110.080i −0.634266 0.262722i 0.0422985 0.999105i \(-0.486532\pi\)
−0.676564 + 0.736383i \(0.736532\pi\)
\(420\) −479.618 + 718.631i −1.14195 + 1.71103i
\(421\) −174.689 + 72.3586i −0.414938 + 0.171873i −0.580379 0.814347i \(-0.697095\pi\)
0.165440 + 0.986220i \(0.447095\pi\)
\(422\) 466.222 4.14561i 1.10479 0.00982371i
\(423\) −49.6978 49.6978i −0.117489 0.117489i
\(424\) −427.832 + 11.4151i −1.00904 + 0.0269225i
\(425\) −607.269 + 607.269i −1.42887 + 1.42887i
\(426\) 278.098 283.088i 0.652812 0.664526i
\(427\) 21.0348 96.9764i 0.0492619 0.227111i
\(428\) −132.583 52.1755i −0.309774 0.121905i
\(429\) −271.345 112.395i −0.632505 0.261992i
\(430\) 369.023 913.798i 0.858193 2.12511i
\(431\) 631.961i 1.46627i 0.680084 + 0.733134i \(0.261943\pi\)
−0.680084 + 0.733134i \(0.738057\pi\)
\(432\) 166.490 76.0067i 0.385394 0.175941i
\(433\) 394.290 0.910599 0.455300 0.890338i \(-0.349532\pi\)
0.455300 + 0.890338i \(0.349532\pi\)
\(434\) 80.7249 52.9683i 0.186002 0.122047i
\(435\) 58.4159 + 24.1966i 0.134289 + 0.0556245i
\(436\) −132.641 + 57.7260i −0.304223 + 0.132399i
\(437\) −1197.55 + 496.040i −2.74038 + 1.13510i
\(438\) 279.398 284.411i 0.637894 0.649340i
\(439\) −350.469 + 350.469i −0.798335 + 0.798335i −0.982833 0.184498i \(-0.940934\pi\)
0.184498 + 0.982833i \(0.440934\pi\)
\(440\) 372.483 + 835.498i 0.846553 + 1.89886i
\(441\) −269.880 122.858i −0.611973 0.278590i
\(442\) −2.10203 236.398i −0.00475573 0.534837i
\(443\) 72.8526 30.1765i 0.164453 0.0681186i −0.298938 0.954272i \(-0.596633\pi\)
0.463391 + 0.886154i \(0.346633\pi\)
\(444\) −477.926 + 495.234i −1.07641 + 1.11539i
\(445\) −103.805 + 250.608i −0.233270 + 0.563165i
\(446\) −65.6926 154.691i −0.147293 0.346841i
\(447\) 451.995i 1.01117i
\(448\) −235.288 + 381.239i −0.525197 + 0.850980i
\(449\) 424.124 0.944597 0.472299 0.881439i \(-0.343424\pi\)
0.472299 + 0.881439i \(0.343424\pi\)
\(450\) 426.197 180.993i 0.947105 0.402207i
\(451\) 223.978 + 92.7748i 0.496626 + 0.205709i
\(452\) −51.3716 49.5762i −0.113654 0.109682i
\(453\) −171.025 412.891i −0.377539 0.911459i
\(454\) 516.288 4.59079i 1.13720 0.0101119i
\(455\) 52.2247 + 288.469i 0.114779 + 0.633997i
\(456\) 387.918 + 870.119i 0.850698 + 1.90816i
\(457\) 370.363 + 370.363i 0.810422 + 0.810422i 0.984697 0.174275i \(-0.0557582\pi\)
−0.174275 + 0.984697i \(0.555758\pi\)
\(458\) 435.765 + 428.084i 0.951452 + 0.934681i
\(459\) 98.2649 + 237.232i 0.214085 + 0.516846i
\(460\) 536.116 + 1231.87i 1.16547 + 2.67798i
\(461\) −46.9183 + 113.271i −0.101775 + 0.245707i −0.966562 0.256432i \(-0.917453\pi\)
0.864787 + 0.502138i \(0.167453\pi\)
\(462\) −652.882 + 428.394i −1.41316 + 0.927259i
\(463\) 701.019i 1.51408i −0.653368 0.757040i \(-0.726645\pi\)
0.653368 0.757040i \(-0.273355\pi\)
\(464\) 30.7173 + 11.4616i 0.0662011 + 0.0247018i
\(465\) −212.803 −0.457640
\(466\) 1.51204 + 0.610612i 0.00324471 + 0.00131033i
\(467\) −189.504 + 457.503i −0.405790 + 0.979664i 0.580443 + 0.814301i \(0.302879\pi\)
−0.986233 + 0.165363i \(0.947121\pi\)
\(468\) −46.6757 + 118.608i −0.0997344 + 0.253436i
\(469\) 746.477 + 161.916i 1.59164 + 0.345237i
\(470\) 131.789 + 129.466i 0.280402 + 0.275459i
\(471\) 215.011 + 215.011i 0.456499 + 0.456499i
\(472\) −379.152 + 10.1163i −0.803289 + 0.0214329i
\(473\) 629.827 629.827i 1.33156 1.33156i
\(474\) −1.40580 158.098i −0.00296582 0.333541i
\(475\) −449.383 1084.91i −0.946069 2.28401i
\(476\) −522.808 348.925i −1.09834 0.733035i
\(477\) −123.893 + 299.105i −0.259735 + 0.627055i
\(478\) −119.740 281.959i −0.250501 0.589873i
\(479\) 405.844i 0.847273i −0.905832 0.423636i \(-0.860753\pi\)
0.905832 0.423636i \(-0.139247\pi\)
\(480\) 894.551 418.035i 1.86365 0.870906i
\(481\) 233.526i 0.485501i
\(482\) −216.721 + 92.0347i −0.449628 + 0.190943i
\(483\) −964.412 + 620.610i −1.99671 + 1.28491i
\(484\) 6.09551 + 342.729i 0.0125940 + 0.708117i
\(485\) 183.189 75.8793i 0.377709 0.156452i
\(486\) −4.98862 561.028i −0.0102646 1.15438i
\(487\) 25.1617 25.1617i 0.0516667 0.0516667i −0.680801 0.732468i \(-0.738368\pi\)
0.732468 + 0.680801i \(0.238368\pi\)
\(488\) −78.0237 + 82.3014i −0.159885 + 0.168651i
\(489\) −518.823 + 518.823i −1.06099 + 1.06099i
\(490\) 712.234 + 316.617i 1.45354 + 0.646156i
\(491\) −57.5384 138.910i −0.117186 0.282913i 0.854393 0.519628i \(-0.173929\pi\)
−0.971579 + 0.236715i \(0.923929\pi\)
\(492\) 95.8269 243.506i 0.194770 0.494932i
\(493\) −17.6032 + 42.4978i −0.0357062 + 0.0862024i
\(494\) 299.734 + 121.043i 0.606749 + 0.245026i
\(495\) 691.977 1.39793
\(496\) −110.275 + 3.92376i −0.222328 + 0.00791081i
\(497\) −294.193 204.000i −0.591938 0.410462i
\(498\) 201.255 498.360i 0.404126 1.00072i
\(499\) −775.974 321.419i −1.55506 0.644126i −0.570836 0.821064i \(-0.693381\pi\)
−0.984222 + 0.176938i \(0.943381\pi\)
\(500\) −386.727 + 168.306i −0.773455 + 0.336611i
\(501\) −51.2383 123.700i −0.102272 0.246907i
\(502\) −473.980 465.625i −0.944183 0.927540i
\(503\) 325.069 325.069i 0.646260 0.646260i −0.305827 0.952087i \(-0.598933\pi\)
0.952087 + 0.305827i \(0.0989330\pi\)
\(504\) 190.925 + 279.990i 0.378820 + 0.555535i
\(505\) −71.8710 + 71.8710i −0.142319 + 0.142319i
\(506\) 10.7966 + 1214.21i 0.0213372 + 2.39962i
\(507\) −209.745 506.369i −0.413698 0.998755i
\(508\) −467.523 + 484.454i −0.920321 + 0.953650i
\(509\) 709.684 + 293.961i 1.39427 + 0.577526i 0.948258 0.317501i \(-0.102844\pi\)
0.446013 + 0.895027i \(0.352844\pi\)
\(510\) 541.509 + 1275.13i 1.06178 + 2.50026i
\(511\) −295.568 204.953i −0.578411 0.401083i
\(512\) 455.850 233.120i 0.890331 0.455313i
\(513\) −351.107 −0.684419
\(514\) 12.1188 + 28.5371i 0.0235775 + 0.0555196i
\(515\) 96.9106 233.963i 0.188176 0.454297i
\(516\) −691.822 667.643i −1.34074 1.29388i
\(517\) 63.8979 + 154.263i 0.123594 + 0.298381i
\(518\) 513.350 + 349.250i 0.991023 + 0.674228i
\(519\) 74.1429 74.1429i 0.142857 0.142857i
\(520\) 119.912 312.844i 0.230600 0.601623i
\(521\) 89.6979 89.6979i 0.172165 0.172165i −0.615765 0.787930i \(-0.711153\pi\)
0.787930 + 0.615765i \(0.211153\pi\)
\(522\) 17.3803 17.6922i 0.0332957 0.0338931i
\(523\) 941.398 389.940i 1.80000 0.745583i 0.813551 0.581493i \(-0.197531\pi\)
0.986445 0.164090i \(-0.0524686\pi\)
\(524\) −372.172 + 161.971i −0.710252 + 0.309105i
\(525\) −562.236 873.700i −1.07093 1.66419i
\(526\) −175.662 + 434.986i −0.333959 + 0.826970i
\(527\) 154.815i 0.293766i
\(528\) 891.872 31.7344i 1.68915 0.0601029i
\(529\) 1254.32i 2.37111i
\(530\) 318.655 789.074i 0.601236 1.48882i
\(531\) −109.797 + 265.073i −0.206773 + 0.499195i
\(532\) 714.351 477.867i 1.34277 0.898247i
\(533\) −33.9792 82.0330i −0.0637508 0.153908i
\(534\) 188.781 + 185.454i 0.353523 + 0.347291i
\(535\) 200.325 200.325i 0.374439 0.374439i
\(536\) −633.517 600.589i −1.18193 1.12050i
\(537\) −787.391 787.391i −1.46628 1.46628i
\(538\) 3.84964 + 432.937i 0.00715546 + 0.804715i
\(539\) 480.658 + 515.019i 0.891758 + 0.955509i
\(540\) 6.47117 + 363.851i 0.0119836 + 0.673797i
\(541\) 338.131 816.322i 0.625012 1.50891i −0.220738 0.975333i \(-0.570847\pi\)
0.845750 0.533579i \(-0.179153\pi\)
\(542\) 331.691 140.859i 0.611976 0.259888i
\(543\) 1101.65 2.02882
\(544\) 304.122 + 650.790i 0.559048 + 1.19630i
\(545\) 287.632i 0.527766i
\(546\) 280.030 + 58.1383i 0.512875 + 0.106480i
\(547\) 206.247 497.925i 0.377051 0.910283i −0.615464 0.788165i \(-0.711031\pi\)
0.992516 0.122118i \(-0.0389686\pi\)
\(548\) 597.254 10.6223i 1.08988 0.0193838i
\(549\) 32.8293 + 79.2570i 0.0597984 + 0.144366i
\(550\) −1100.00 + 9.78111i −2.00000 + 0.0177838i
\(551\) −44.4750 44.4750i −0.0807170 0.0807170i
\(552\) 1310.21 34.9582i 2.37357 0.0633301i
\(553\) −140.352 + 25.4094i −0.253801 + 0.0459484i
\(554\) 185.386 + 182.118i 0.334632 + 0.328733i
\(555\) −523.688 1264.29i −0.943582 2.27801i
\(556\) 347.754 883.681i 0.625457 1.58935i
\(557\) −714.450 295.935i −1.28268 0.531301i −0.365881 0.930662i \(-0.619232\pi\)
−0.916794 + 0.399360i \(0.869232\pi\)
\(558\) −31.2557 + 77.3973i −0.0560138 + 0.138705i
\(559\) −326.226 −0.583589
\(560\) −508.378 731.472i −0.907818 1.30620i
\(561\) 1252.10i 2.23191i
\(562\) 38.4748 95.2737i 0.0684605 0.169526i
\(563\) 171.531 414.113i 0.304674 0.735548i −0.695186 0.718830i \(-0.744678\pi\)
0.999860 0.0167182i \(-0.00532182\pi\)
\(564\) 165.260 71.9220i 0.293014 0.127521i
\(565\) 131.148 54.3232i 0.232120 0.0961473i
\(566\) −708.863 696.367i −1.25241 1.23033i
\(567\) −680.830 + 123.258i −1.20076 + 0.217386i
\(568\) 166.599 + 373.690i 0.293309 + 0.657905i
\(569\) −793.044 + 793.044i −1.39375 + 1.39375i −0.577023 + 0.816728i \(0.695786\pi\)
−0.816728 + 0.577023i \(0.804214\pi\)
\(570\) −1894.18 + 16.8429i −3.32313 + 0.0295490i
\(571\) −39.5651 + 16.3884i −0.0692908 + 0.0287012i −0.417060 0.908879i \(-0.636939\pi\)
0.347769 + 0.937580i \(0.386939\pi\)
\(572\) 210.280 217.895i 0.367622 0.380935i
\(573\) 39.5020 + 16.3623i 0.0689389 + 0.0285554i
\(574\) −231.147 47.9895i −0.402696 0.0836055i
\(575\) −1615.58 −2.80970
\(576\) −20.6529 386.752i −0.0358557 0.671444i
\(577\) 374.127i 0.648400i 0.945988 + 0.324200i \(0.105095\pi\)
−0.945988 + 0.324200i \(0.894905\pi\)
\(578\) −395.649 + 168.020i −0.684513 + 0.290692i
\(579\) 494.085 + 204.657i 0.853342 + 0.353466i
\(580\) −45.2696 + 46.9090i −0.0780510 + 0.0808776i
\(581\) −473.851 102.782i −0.815578 0.176905i
\(582\) −1.72000 193.434i −0.00295533 0.332361i
\(583\) 543.862 543.862i 0.932868 0.932868i
\(584\) 167.378 + 375.437i 0.286606 + 0.642871i
\(585\) −179.209 179.209i −0.306340 0.306340i
\(586\) 96.1643 + 94.4692i 0.164103 + 0.161210i
\(587\) −780.464 + 323.279i −1.32958 + 0.550730i −0.930536 0.366201i \(-0.880658\pi\)
−0.399045 + 0.916931i \(0.630658\pi\)
\(588\) 546.602 528.629i 0.929595 0.899029i
\(589\) 195.573 + 81.0089i 0.332042 + 0.137536i
\(590\) 282.398 699.292i 0.478641 1.18524i
\(591\) −32.5112 −0.0550104
\(592\) −294.688 645.503i −0.497783 1.09038i
\(593\) −478.878 −0.807551 −0.403776 0.914858i \(-0.632302\pi\)
−0.403776 + 0.914858i \(0.632302\pi\)
\(594\) −123.160 + 304.977i −0.207340 + 0.513429i
\(595\) 1050.98 676.317i 1.76635 1.13667i
\(596\) 433.647 + 170.653i 0.727596 + 0.286330i
\(597\) 206.746 + 499.128i 0.346308 + 0.836061i
\(598\) 311.661 317.253i 0.521171 0.530523i
\(599\) −30.8493 30.8493i −0.0515014 0.0515014i 0.680887 0.732388i \(-0.261594\pi\)
−0.732388 + 0.680887i \(0.761594\pi\)
\(600\) 31.6701 + 1186.97i 0.0527835 + 1.97829i
\(601\) −462.584 462.584i −0.769691 0.769691i 0.208361 0.978052i \(-0.433187\pi\)
−0.978052 + 0.208361i \(0.933187\pi\)
\(602\) −487.888 + 717.130i −0.810445 + 1.19125i
\(603\) −610.082 + 252.704i −1.01174 + 0.419078i
\(604\) 460.702 8.19369i 0.762751 0.0135657i
\(605\) −629.694 260.828i −1.04082 0.431120i
\(606\) 38.7598 + 91.2705i 0.0639601 + 0.150611i
\(607\) 552.240i 0.909785i −0.890546 0.454893i \(-0.849678\pi\)
0.890546 0.454893i \(-0.150322\pi\)
\(608\) −981.258 + 43.6540i −1.61391 + 0.0717993i
\(609\) −45.7304 31.7104i −0.0750910 0.0520697i
\(610\) −88.1421 207.555i −0.144495 0.340253i
\(611\) 23.4029 56.4995i 0.0383026 0.0924706i
\(612\) 543.306 9.66283i 0.887755 0.0157889i
\(613\) −911.737 + 377.654i −1.48734 + 0.616075i −0.970735 0.240152i \(-0.922803\pi\)
−0.516601 + 0.856226i \(0.672803\pi\)
\(614\) −4.12989 464.455i −0.00672621 0.756441i
\(615\) 367.922 + 367.922i 0.598248 + 0.598248i
\(616\) −164.505 788.122i −0.267054 1.27942i
\(617\) −22.0424 22.0424i −0.0357251 0.0357251i 0.689019 0.724744i \(-0.258042\pi\)
−0.724744 + 0.689019i \(0.758042\pi\)
\(618\) −176.242 173.136i −0.285182 0.280155i
\(619\) −19.1061 + 7.91402i −0.0308661 + 0.0127852i −0.398063 0.917358i \(-0.630317\pi\)
0.367197 + 0.930143i \(0.380317\pi\)
\(620\) 80.3446 204.164i 0.129588 0.329297i
\(621\) −184.855 + 446.279i −0.297673 + 0.718645i
\(622\) −134.870 + 333.973i −0.216832 + 0.536933i
\(623\) 136.040 196.187i 0.218363 0.314907i
\(624\) −239.196 222.759i −0.383328 0.356986i
\(625\) 117.813i 0.188501i
\(626\) 13.3649 + 5.39721i 0.0213497 + 0.00862174i
\(627\) −1581.74 655.178i −2.52271 1.04494i
\(628\) −287.462 + 125.105i −0.457741 + 0.199211i
\(629\) 919.780 380.985i 1.46229 0.605700i
\(630\) −661.964 + 125.931i −1.05074 + 0.199891i
\(631\) −136.776 136.776i −0.216761 0.216761i 0.590371 0.807132i \(-0.298981\pi\)
−0.807132 + 0.590371i \(0.798981\pi\)
\(632\) 152.212 + 58.3421i 0.240841 + 0.0923134i
\(633\) 639.523 + 639.523i 1.01031 + 1.01031i
\(634\) −4.69304 527.787i −0.00740227 0.832472i
\(635\) −512.289 1236.78i −0.806755 1.94768i
\(636\) −597.395 576.517i −0.939301 0.906473i
\(637\) 8.89899 257.861i 0.0139702 0.404806i
\(638\) −54.2325 + 23.0309i −0.0850040 + 0.0360986i
\(639\) 309.498 0.484348
\(640\) 63.3238 + 1016.07i 0.0989434 + 1.58761i
\(641\) 1094.21 1.70703 0.853515 0.521069i \(-0.174467\pi\)
0.853515 + 0.521069i \(0.174467\pi\)
\(642\) −108.035 254.397i −0.168278 0.396257i
\(643\) 399.662 + 165.545i 0.621558 + 0.257458i 0.671162 0.741311i \(-0.265796\pi\)
−0.0496032 + 0.998769i \(0.515796\pi\)
\(644\) −231.299 1159.58i −0.359160 1.80059i
\(645\) 1766.17 731.571i 2.73825 1.13422i
\(646\) −12.2533 1378.03i −0.0189680 2.13317i
\(647\) −21.9517 21.9517i −0.0339284 0.0339284i 0.689939 0.723867i \(-0.257637\pi\)
−0.723867 + 0.689939i \(0.757637\pi\)
\(648\) 738.360 + 283.010i 1.13944 + 0.436744i
\(649\) 481.980 481.980i 0.742650 0.742650i
\(650\) 287.412 + 282.346i 0.442173 + 0.434378i
\(651\) 183.036 + 39.7017i 0.281161 + 0.0609858i
\(652\) −301.878 693.646i −0.463003 1.06387i
\(653\) 882.974 + 365.740i 1.35218 + 0.560092i 0.936899 0.349601i \(-0.113683\pi\)
0.415283 + 0.909692i \(0.363683\pi\)
\(654\) −260.195 105.076i −0.397852 0.160666i
\(655\) 807.056i 1.23215i
\(656\) 197.442 + 183.874i 0.300978 + 0.280296i
\(657\) 310.945 0.473280
\(658\) −89.2004 135.944i −0.135563 0.206601i
\(659\) 11.9594 + 4.95374i 0.0181478 + 0.00751706i 0.391739 0.920076i \(-0.371874\pi\)
−0.373591 + 0.927594i \(0.621874\pi\)
\(660\) −649.806 + 1651.23i −0.984555 + 2.50186i
\(661\) −250.933 + 103.940i −0.379626 + 0.157246i −0.564333 0.825547i \(-0.690866\pi\)
0.184707 + 0.982794i \(0.440866\pi\)
\(662\) 546.377 + 536.746i 0.825342 + 0.810794i
\(663\) 324.271 324.271i 0.489096 0.489096i
\(664\) 402.146 + 381.244i 0.605641 + 0.574162i
\(665\) 304.432 + 1681.56i 0.457792 + 2.52867i
\(666\) −536.747 + 4.77272i −0.805927 + 0.00716624i
\(667\) −79.9463 + 33.1148i −0.119859 + 0.0496474i
\(668\) 138.024 2.45479i 0.206623 0.00367484i
\(669\) 124.759 301.194i 0.186485 0.450215i
\(670\) 1597.65 678.475i 2.38456 1.01265i
\(671\) 203.806i 0.303735i
\(672\) −847.413 + 192.668i −1.26103 + 0.286708i
\(673\) 175.371 0.260582 0.130291 0.991476i \(-0.458409\pi\)
0.130291 + 0.991476i \(0.458409\pi\)
\(674\) −170.788 402.166i −0.253394 0.596685i
\(675\) −404.302 167.467i −0.598966 0.248100i
\(676\) 565.004 10.0487i 0.835805 0.0148650i
\(677\) −138.622 334.663i −0.204759 0.494332i 0.787824 0.615901i \(-0.211208\pi\)
−0.992583 + 0.121568i \(0.961208\pi\)
\(678\) −1.23138 138.483i −0.00181619 0.204251i
\(679\) −171.721 + 31.0885i −0.252903 + 0.0457858i
\(680\) −1427.82 + 38.0962i −2.09973 + 0.0560238i
\(681\) 708.199 + 708.199i 1.03994 + 1.03994i
\(682\) 138.968 141.462i 0.203765 0.207422i
\(683\) 430.794 + 1040.03i 0.630738 + 1.52274i 0.838697 + 0.544599i \(0.183318\pi\)
−0.207959 + 0.978138i \(0.566682\pi\)
\(684\) −272.085 + 691.398i −0.397785 + 1.01082i
\(685\) −454.530 + 1097.33i −0.663547 + 1.60194i
\(686\) −553.537 405.207i −0.806905 0.590681i
\(687\) 1184.95i 1.72482i
\(688\) 901.742 411.667i 1.31067 0.598353i
\(689\) −281.700 −0.408853
\(690\) −975.863 + 2416.49i −1.41429 + 3.50217i
\(691\) 241.990 584.215i 0.350202 0.845462i −0.646393 0.763005i \(-0.723723\pi\)
0.996595 0.0824574i \(-0.0262769\pi\)
\(692\) 43.1402 + 99.1262i 0.0623413 + 0.143246i
\(693\) −595.184 129.100i −0.858851 0.186291i
\(694\) 500.037 509.009i 0.720515 0.733443i
\(695\) 1335.18 + 1335.18i 1.92113 + 1.92113i
\(696\) 25.8968 + 58.0877i 0.0372080 + 0.0834594i
\(697\) −267.665 + 267.665i −0.384025 + 0.384025i
\(698\) 1319.31 11.7312i 1.89013 0.0168069i
\(699\) 1.21051 + 2.92243i 0.00173178 + 0.00418087i
\(700\) 1050.51 209.543i 1.50073 0.299348i
\(701\) 287.373 693.779i 0.409947 0.989700i −0.575204 0.818010i \(-0.695077\pi\)
0.985151 0.171690i \(-0.0549226\pi\)
\(702\) 110.879 47.0871i 0.157948 0.0670756i
\(703\) 1361.28i 1.93639i
\(704\) −306.284 + 867.649i −0.435063 + 1.23246i
\(705\) 358.367i 0.508322i
\(706\) 26.2296 + 61.7646i 0.0371524 + 0.0874853i
\(707\) 75.2264 48.4090i 0.106402 0.0684711i
\(708\) −529.422 510.920i −0.747772 0.721638i
\(709\) −762.733 + 315.934i −1.07579 + 0.445606i −0.849030 0.528345i \(-0.822813\pi\)
−0.226758 + 0.973951i \(0.572813\pi\)
\(710\) −813.496 + 7.23354i −1.14577 + 0.0101881i
\(711\) 87.1925 87.1925i 0.122634 0.122634i
\(712\) −249.201 + 111.099i −0.350001 + 0.156038i
\(713\) 205.935 205.935i 0.288828 0.288828i
\(714\) −227.867 1197.79i −0.319142 1.67758i
\(715\) 230.414 + 556.269i 0.322258 + 0.777999i
\(716\) 1052.71 458.145i 1.47027 0.639867i
\(717\) 227.401 548.994i 0.317156 0.765682i
\(718\) −62.0457 + 153.642i −0.0864146 + 0.213985i
\(719\) 925.249 1.28685 0.643427 0.765507i \(-0.277512\pi\)
0.643427 + 0.765507i \(0.277512\pi\)
\(720\) 721.507 + 269.218i 1.00209 + 0.373914i
\(721\) −127.004 + 183.156i −0.176150 + 0.254031i
\(722\) 1077.76 + 435.236i 1.49274 + 0.602820i
\(723\) −421.970 174.786i −0.583638 0.241751i
\(724\) −415.933 + 1056.93i −0.574493 + 1.45985i
\(725\) −30.0001 72.4266i −0.0413794 0.0998987i
\(726\) −465.982 + 474.344i −0.641849 + 0.653366i
\(727\) 955.333 955.333i 1.31408 1.31408i 0.395693 0.918383i \(-0.370504\pi\)
0.918383 0.395693i \(-0.129496\pi\)
\(728\) −161.505 + 246.712i −0.221847 + 0.338890i
\(729\) 140.540 140.540i 0.192785 0.192785i
\(730\) −817.298 + 7.26735i −1.11959 + 0.00995527i
\(731\) 532.221 + 1284.90i 0.728073 + 1.75772i
\(732\) −219.955 + 3.91196i −0.300485 + 0.00534420i
\(733\) −1186.84 491.607i −1.61916 0.670678i −0.625205 0.780461i \(-0.714985\pi\)
−0.993956 + 0.109782i \(0.964985\pi\)
\(734\) −913.914 + 388.111i −1.24511 + 0.528762i
\(735\) 530.082 + 1416.00i 0.721201 + 1.92653i
\(736\) −461.137 + 1270.22i −0.626545 + 1.72585i
\(737\) 1568.80 2.12863
\(738\) 187.854 79.7760i 0.254545 0.108098i
\(739\) 453.113 1093.91i 0.613143 1.48026i −0.246386 0.969172i \(-0.579243\pi\)
0.859529 0.511087i \(-0.170757\pi\)
\(740\) 1410.69 25.0895i 1.90634 0.0339048i
\(741\) 239.962 + 579.320i 0.323835 + 0.781808i
\(742\) −421.296 + 619.249i −0.567785 + 0.834567i
\(743\) 181.750 181.750i 0.244617 0.244617i −0.574140 0.818757i \(-0.694664\pi\)
0.818757 + 0.574140i \(0.194664\pi\)
\(744\) −155.338 147.264i −0.208788 0.197936i
\(745\) −655.213 + 655.213i −0.879480 + 0.879480i
\(746\) −265.226 260.551i −0.355530 0.349263i
\(747\) 387.270 160.412i 0.518433 0.214742i
\(748\) −1201.27 472.737i −1.60598 0.632001i
\(749\) −209.678 + 134.930i −0.279943 + 0.180147i
\(750\) −758.622 306.358i −1.01150 0.408477i
\(751\) 681.170i 0.907017i 0.891252 + 0.453508i \(0.149828\pi\)
−0.891252 + 0.453508i \(0.850172\pi\)
\(752\) 6.60775 + 185.706i 0.00878690 + 0.246950i
\(753\) 1288.87i 1.71165i
\(754\) 20.0098 + 8.08063i 0.0265382 + 0.0107170i
\(755\) −350.609 + 846.446i −0.464383 + 1.12112i
\(756\) 62.3162 314.163i 0.0824288 0.415559i
\(757\) −410.869