Properties

Label 804.2.bd.a.23.8
Level 804
Weight 2
Character 804.23
Analytic conductor 6.420
Analytic rank 0
Dimension 2640
CM no
Inner twists 8

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Newspace parameters

Level: \( N \) = \( 804 = 2^{2} \cdot 3 \cdot 67 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 804.bd (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.41997232251\)
Analytic rank: \(0\)
Dimension: \(2640\)
Relative dimension: \(132\) over \(\Q(\zeta_{66})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 23.8
Character \(\chi\) = 804.23
Dual form 804.2.bd.a.35.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.39805 - 0.213188i) q^{2} +(-0.861586 + 1.50255i) q^{3} +(1.90910 + 0.596096i) q^{4} +(-2.23249 + 1.01954i) q^{5} +(1.52487 - 1.91697i) q^{6} +(-3.06753 - 3.21714i) q^{7} +(-2.54194 - 1.24037i) q^{8} +(-1.51534 - 2.58916i) q^{9} +O(q^{10})\) \(q+(-1.39805 - 0.213188i) q^{2} +(-0.861586 + 1.50255i) q^{3} +(1.90910 + 0.596096i) q^{4} +(-2.23249 + 1.01954i) q^{5} +(1.52487 - 1.91697i) q^{6} +(-3.06753 - 3.21714i) q^{7} +(-2.54194 - 1.24037i) q^{8} +(-1.51534 - 2.58916i) q^{9} +(3.33849 - 0.949437i) q^{10} +(1.57520 + 0.150413i) q^{11} +(-2.54052 + 2.35494i) q^{12} +(-1.56534 - 0.301694i) q^{13} +(3.60272 + 5.15169i) q^{14} +(0.391562 - 4.23286i) q^{15} +(3.28934 + 2.27601i) q^{16} +(-1.37562 + 2.66833i) q^{17} +(1.56655 + 3.94283i) q^{18} +(5.04324 - 5.28920i) q^{19} +(-4.86980 + 0.615636i) q^{20} +(7.47687 - 1.83730i) q^{21} +(-2.17014 - 0.546098i) q^{22} +(1.19919 - 0.480083i) q^{23} +(4.05383 - 2.75072i) q^{24} +(0.670243 - 0.773501i) q^{25} +(2.12411 + 0.755496i) q^{26} +(5.19595 - 0.0460952i) q^{27} +(-3.93851 - 7.97039i) q^{28} +(1.44193 + 0.832499i) q^{29} +(-1.44982 + 5.83429i) q^{30} +(1.81495 + 9.41688i) q^{31} +(-4.11345 - 3.88324i) q^{32} +(-1.58317 + 2.23722i) q^{33} +(2.49204 - 3.43720i) q^{34} +(10.1283 + 4.05474i) q^{35} +(-1.34955 - 5.84626i) q^{36} +(1.39286 + 2.41250i) q^{37} +(-8.17831 + 6.31942i) q^{38} +(1.80199 - 2.09207i) q^{39} +(6.93948 + 0.177490i) q^{40} +(-2.52721 + 0.120386i) q^{41} +(-10.8447 + 0.974659i) q^{42} +(-2.95214 - 4.59362i) q^{43} +(2.91755 + 1.22612i) q^{44} +(6.02274 + 4.23532i) q^{45} +(-1.77888 + 0.415529i) q^{46} +(-4.66966 - 3.67226i) q^{47} +(-6.25388 + 2.98143i) q^{48} +(-0.607133 + 12.7453i) q^{49} +(-1.10194 + 0.938508i) q^{50} +(-2.82409 - 4.36593i) q^{51} +(-2.80855 - 1.50906i) q^{52} +(-6.80366 + 10.5867i) q^{53} +(-7.27404 - 1.04327i) q^{54} +(-3.66996 + 1.27019i) q^{55} +(3.80706 + 11.9827i) q^{56} +(3.60212 + 12.1348i) q^{57} +(-1.83842 - 1.47128i) q^{58} +(1.31106 + 1.51305i) q^{59} +(3.27072 - 7.84756i) q^{60} +(-3.51789 + 0.335918i) q^{61} +(-0.529838 - 13.5522i) q^{62} +(-3.68133 + 12.8174i) q^{63} +(4.92296 + 6.30590i) q^{64} +(3.80220 - 0.922403i) q^{65} +(2.69030 - 2.79024i) q^{66} +(8.07546 - 1.33677i) q^{67} +(-4.21677 + 4.27411i) q^{68} +(-0.311854 + 2.21548i) q^{69} +(-13.2954 - 7.82797i) q^{70} +(1.81399 - 0.935176i) q^{71} +(0.640391 + 8.46108i) q^{72} +(13.1491 - 1.25558i) q^{73} +(-1.43297 - 3.66975i) q^{74} +(0.584756 + 1.67351i) q^{75} +(12.7809 - 7.09137i) q^{76} +(-4.34807 - 5.52902i) q^{77} +(-2.96528 + 2.54066i) q^{78} +(10.6353 - 3.68090i) q^{79} +(-9.66392 - 1.72755i) q^{80} +(-4.40750 + 7.84691i) q^{81} +(3.55884 + 0.370465i) q^{82} +(8.02119 - 11.2642i) q^{83} +(15.3693 + 0.949343i) q^{84} +(0.350577 - 7.35952i) q^{85} +(3.14794 + 7.05149i) q^{86} +(-2.49322 + 1.44931i) q^{87} +(-3.81749 - 2.33617i) q^{88} +(10.9904 - 1.58018i) q^{89} +(-7.51720 - 7.20518i) q^{90} +(3.83114 + 5.96137i) q^{91} +(2.57555 - 0.201696i) q^{92} +(-15.7131 - 5.38638i) q^{93} +(5.74555 + 6.12953i) q^{94} +(-5.86642 + 16.9499i) q^{95} +(9.37886 - 2.83494i) q^{96} +(7.46373 + 12.9276i) q^{97} +(3.56595 - 17.6892i) q^{98} +(-1.99751 - 4.30636i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 2640q - 42q^{4} - 19q^{6} - 32q^{9} + O(q^{10}) \) \( 2640q - 42q^{4} - 19q^{6} - 32q^{9} - 46q^{10} - 24q^{12} - 88q^{13} - 26q^{16} - 23q^{18} - 128q^{22} - 22q^{24} + 160q^{25} + 44q^{28} - 18q^{30} - 44q^{33} - 6q^{34} - 35q^{36} - 48q^{37} - 92q^{40} - 10q^{42} + 40q^{45} + 46q^{46} - 11q^{48} - 216q^{49} - 76q^{52} + 129q^{54} - 42q^{57} - 56q^{58} - 90q^{60} - 80q^{61} - 48q^{64} - 74q^{66} - 4q^{69} + 96q^{70} - 20q^{72} - 216q^{73} + 76q^{76} - 66q^{78} - 16q^{81} + 20q^{82} - 55q^{84} - 104q^{85} - 30q^{88} - 64q^{90} - 192q^{93} - 32q^{94} - 205q^{96} - 64q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).

\(n\) \(269\) \(337\) \(403\)
\(\chi(n)\) \(-1\) \(e\left(\frac{14}{33}\right)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.39805 0.213188i −0.988572 0.150747i
\(3\) −0.861586 + 1.50255i −0.497437 + 0.867500i
\(4\) 1.90910 + 0.596096i 0.954551 + 0.298048i
\(5\) −2.23249 + 1.01954i −0.998400 + 0.455954i −0.846470 0.532437i \(-0.821276\pi\)
−0.151931 + 0.988391i \(0.548549\pi\)
\(6\) 1.52487 1.91697i 0.622525 0.782600i
\(7\) −3.06753 3.21714i −1.15942 1.21596i −0.972328 0.233621i \(-0.924942\pi\)
−0.187091 0.982342i \(1.44009\pi\)
\(8\) −2.54194 1.24037i −0.898713 0.438537i
\(9\) −1.51534 2.58916i −0.505113 0.863053i
\(10\) 3.33849 0.949437i 1.05572 0.300238i
\(11\) 1.57520 + 0.150413i 0.474939 + 0.0453512i 0.329782 0.944057i \(-0.393025\pi\)
0.145158 + 0.989408i \(0.453631\pi\)
\(12\) −2.54052 + 2.35494i −0.733385 + 0.679813i
\(13\) −1.56534 0.301694i −0.434147 0.0836750i −0.0325047 0.999472i \(-0.510348\pi\)
−0.401642 + 0.915797i \(0.631560\pi\)
\(14\) 3.60272 + 5.15169i 0.962867 + 1.37685i
\(15\) 0.391562 4.23286i 0.101101 1.09292i
\(16\) 3.28934 + 2.27601i 0.822335 + 0.569004i
\(17\) −1.37562 + 2.66833i −0.333636 + 0.647164i −0.994661 0.103200i \(-0.967092\pi\)
0.661024 + 0.750365i \(0.270122\pi\)
\(18\) 1.56655 + 3.94283i 0.369238 + 0.929335i
\(19\) 5.04324 5.28920i 1.15700 1.21343i 0.183923 0.982941i \(-0.441120\pi\)
0.973076 0.230485i \(-0.0740314\pi\)
\(20\) −4.86980 + 0.615636i −1.08892 + 0.137660i
\(21\) 7.47687 1.83730i 1.63159 0.400931i
\(22\) −2.17014 0.546098i −0.462676 0.116428i
\(23\) 1.19919 0.480083i 0.250048 0.100104i −0.243253 0.969963i \(-0.578214\pi\)
0.493301 + 0.869859i \(0.335790\pi\)
\(24\) 4.05383 2.75072i 0.827484 0.561489i
\(25\) 0.670243 0.773501i 0.134049 0.154700i
\(26\) 2.12411 + 0.755496i 0.416572 + 0.148165i
\(27\) 5.19595 0.0460952i 0.999961 0.00887103i
\(28\) −3.93851 7.97039i −0.744309 1.50626i
\(29\) 1.44193 + 0.832499i 0.267760 + 0.154591i 0.627869 0.778319i \(-0.283927\pi\)
−0.360109 + 0.932910i \(0.617261\pi\)
\(30\) −1.44982 + 5.83429i −0.264700 + 1.06519i
\(31\) 1.81495 + 9.41688i 0.325975 + 1.69132i 0.662029 + 0.749478i \(0.269695\pi\)
−0.336054 + 0.941843i \(0.609092\pi\)
\(32\) −4.11345 3.88324i −0.727162 0.686465i
\(33\) −1.58317 + 2.23722i −0.275595 + 0.389451i
\(34\) 2.49204 3.43720i 0.427382 0.589474i
\(35\) 10.1283 + 4.05474i 1.71199 + 0.685377i
\(36\) −1.34955 5.84626i −0.224925 0.974376i
\(37\) 1.39286 + 2.41250i 0.228985 + 0.396613i 0.957507 0.288408i \(-0.0931261\pi\)
−0.728523 + 0.685022i \(0.759793\pi\)
\(38\) −8.17831 + 6.31942i −1.32670 + 1.02515i
\(39\) 1.80199 2.09207i 0.288549 0.335000i
\(40\) 6.93948 + 0.177490i 1.09723 + 0.0280637i
\(41\) −2.52721 + 0.120386i −0.394684 + 0.0188011i −0.243986 0.969779i \(-0.578455\pi\)
−0.150698 + 0.988580i \(0.548152\pi\)
\(42\) −10.8447 + 0.974659i −1.67338 + 0.150393i
\(43\) −2.95214 4.59362i −0.450197 0.700521i 0.539771 0.841812i \(-0.318511\pi\)
−0.989968 + 0.141291i \(0.954875\pi\)
\(44\) 2.91755 + 1.22612i 0.439837 + 0.184845i
\(45\) 6.02274 + 4.23532i 0.897818 + 0.631364i
\(46\) −1.77888 + 0.415529i −0.262281 + 0.0612664i
\(47\) −4.66966 3.67226i −0.681140 0.535655i 0.216555 0.976270i \(-0.430518\pi\)
−0.897696 + 0.440616i \(0.854760\pi\)
\(48\) −6.25388 + 2.98143i −0.902671 + 0.430332i
\(49\) −0.607133 + 12.7453i −0.0867333 + 1.82076i
\(50\) −1.10194 + 0.938508i −0.155837 + 0.132725i
\(51\) −2.82409 4.36593i −0.395452 0.611353i
\(52\) −2.80855 1.50906i −0.389476 0.209269i
\(53\) −6.80366 + 10.5867i −0.934554 + 1.45419i −0.0441490 + 0.999025i \(0.514058\pi\)
−0.890405 + 0.455169i \(0.849579\pi\)
\(54\) −7.27404 1.04327i −0.989871 0.141971i
\(55\) −3.66996 + 1.27019i −0.494858 + 0.171272i
\(56\) 3.80706 + 11.9827i 0.508740 + 1.60125i
\(57\) 3.60212 + 12.1348i 0.477113 + 1.60730i
\(58\) −1.83842 1.47128i −0.241396 0.193188i
\(59\) 1.31106 + 1.51305i 0.170686 + 0.196982i 0.834647 0.550785i \(-0.185671\pi\)
−0.663961 + 0.747767i \(0.731126\pi\)
\(60\) 3.27072 7.84756i 0.422249 1.01312i
\(61\) −3.51789 + 0.335918i −0.450420 + 0.0430099i −0.317802 0.948157i \(-0.602945\pi\)
−0.132619 + 0.991167i \(0.542339\pi\)
\(62\) −0.529838 13.5522i −0.0672895 1.72113i
\(63\) −3.68133 + 12.8174i −0.463804 + 1.61484i
\(64\) 4.92296 + 6.30590i 0.615370 + 0.788238i
\(65\) 3.80220 0.922403i 0.471605 0.114410i
\(66\) 2.69030 2.79024i 0.331154 0.343455i
\(67\) 8.07546 1.33677i 0.986574 0.163312i
\(68\) −4.21677 + 4.27411i −0.511359 + 0.518312i
\(69\) −0.311854 + 2.21548i −0.0375428 + 0.266713i
\(70\) −13.2954 7.82797i −1.58911 0.935621i
\(71\) 1.81399 0.935176i 0.215281 0.110985i −0.347214 0.937786i \(-0.612872\pi\)
0.562494 + 0.826801i \(0.309842\pi\)
\(72\) 0.640391 + 8.46108i 0.0754708 + 0.997148i
\(73\) 13.1491 1.25558i 1.53898 0.146955i 0.709185 0.705022i \(-0.249063\pi\)
0.829796 + 0.558067i \(0.188457\pi\)
\(74\) −1.43297 3.66975i −0.166580 0.426600i
\(75\) 0.584756 + 1.67351i 0.0675218 + 0.193241i
\(76\) 12.7809 7.09137i 1.46607 0.813436i
\(77\) −4.34807 5.52902i −0.495508 0.630090i
\(78\) −2.96528 + 2.54066i −0.335751 + 0.287674i
\(79\) 10.6353 3.68090i 1.19656 0.414134i 0.345108 0.938563i \(-0.387842\pi\)
0.851454 + 0.524429i \(0.175721\pi\)
\(80\) −9.66392 1.72755i −1.08046 0.193146i
\(81\) −4.40750 + 7.84691i −0.489722 + 0.871879i
\(82\) 3.55884 + 0.370465i 0.393008 + 0.0409110i
\(83\) 8.02119 11.2642i 0.880440 1.23640i −0.0902135 0.995922i \(-0.528755\pi\)
0.970653 0.240482i \(-0.0773057\pi\)
\(84\) 15.3693 + 0.949343i 1.67693 + 0.103582i
\(85\) 0.350577 7.35952i 0.0380254 0.798252i
\(86\) 3.14794 + 7.05149i 0.339452 + 0.760381i
\(87\) −2.49322 + 1.44931i −0.267302 + 0.155382i
\(88\) −3.81749 2.33617i −0.406946 0.249036i
\(89\) 10.9904 1.58018i 1.16498 0.167499i 0.467428 0.884031i \(-0.345181\pi\)
0.697554 + 0.716532i \(0.254272\pi\)
\(90\) −7.51720 7.20518i −0.792382 0.759492i
\(91\) 3.83114 + 5.96137i 0.401613 + 0.624921i
\(92\) 2.57555 0.201696i 0.268520 0.0210283i
\(93\) −15.7131 5.38638i −1.62937 0.558542i
\(94\) 5.74555 + 6.12953i 0.592609 + 0.632213i
\(95\) −5.86642 + 16.9499i −0.601882 + 1.73902i
\(96\) 9.37886 2.83494i 0.957226 0.289340i
\(97\) 7.46373 + 12.9276i 0.757827 + 1.31259i 0.943957 + 0.330069i \(0.107072\pi\)
−0.186130 + 0.982525i \(0.559595\pi\)
\(98\) 3.56595 17.6892i 0.360215 1.78687i
\(99\) −1.99751 4.30636i −0.200758 0.432806i
\(100\) 1.74064 1.07716i 0.174064 0.107716i
\(101\) 8.59670 + 2.08554i 0.855404 + 0.207519i 0.639401 0.768874i \(-0.279183\pi\)
0.216003 + 0.976393i \(0.430698\pi\)
\(102\) 3.01747 + 6.70587i 0.298774 + 0.663980i
\(103\) 1.17268 + 6.08442i 0.115547 + 0.599516i 0.992829 + 0.119541i \(0.0381423\pi\)
−0.877282 + 0.479975i \(0.840646\pi\)
\(104\) 3.60479 + 2.70849i 0.353479 + 0.265589i
\(105\) −14.8188 + 11.7248i −1.44617 + 1.14422i
\(106\) 11.7688 13.3503i 1.14309 1.29670i
\(107\) −0.454555 + 0.995336i −0.0439434 + 0.0962227i −0.930330 0.366722i \(-0.880480\pi\)
0.886387 + 0.462945i \(0.153207\pi\)
\(108\) 9.94707 + 3.00928i 0.957157 + 0.289568i
\(109\) 1.62777 1.87855i 0.155912 0.179932i −0.672419 0.740170i \(-0.734745\pi\)
0.828332 + 0.560238i \(0.189290\pi\)
\(110\) 5.40159 0.993396i 0.515021 0.0947166i
\(111\) −4.82499 + 0.0142678i −0.457967 + 0.00135424i
\(112\) −2.76791 17.5640i −0.261543 1.65964i
\(113\) 0.152859 0.108850i 0.0143797 0.0102398i −0.572844 0.819664i \(-0.694160\pi\)
0.587224 + 0.809424i \(0.300221\pi\)
\(114\) −2.44896 17.7331i −0.229366 1.66086i
\(115\) −2.18772 + 2.29441i −0.204005 + 0.213955i
\(116\) 2.25654 + 2.44885i 0.209515 + 0.227370i
\(117\) 1.59088 + 4.51008i 0.147077 + 0.416957i
\(118\) −1.51037 2.39482i −0.139041 0.220461i
\(119\) 12.8041 3.75963i 1.17375 0.344645i
\(120\) −6.24565 + 10.2740i −0.570147 + 0.937886i
\(121\) −8.34260 1.60790i −0.758418 0.146173i
\(122\) 4.98982 + 0.280341i 0.451757 + 0.0253809i
\(123\) 1.99652 3.90099i 0.180020 0.351741i
\(124\) −2.14843 + 19.0597i −0.192934 + 1.71161i
\(125\) 2.74956 9.36414i 0.245928 0.837554i
\(126\) 7.87920 17.1346i 0.701935 1.52647i
\(127\) −2.79086 2.92697i −0.247649 0.259727i 0.588163 0.808742i \(-0.299851\pi\)
−0.835812 + 0.549015i \(0.815003\pi\)
\(128\) −5.53822 9.86550i −0.489514 0.871995i
\(129\) 9.44569 0.477952i 0.831647 0.0420814i
\(130\) −5.51232 + 0.478986i −0.483462 + 0.0420098i
\(131\) −0.990509 + 6.88914i −0.0865412 + 0.601907i 0.899689 + 0.436531i \(0.143793\pi\)
−0.986231 + 0.165376i \(0.947116\pi\)
\(132\) −4.35603 + 3.32737i −0.379144 + 0.289610i
\(133\) −32.4864 −2.81693
\(134\) −11.5749 + 0.147282i −0.999919 + 0.0127232i
\(135\) −11.5529 + 5.40041i −0.994316 + 0.464793i
\(136\) 6.80646 5.07646i 0.583649 0.435303i
\(137\) 21.7028 + 3.12040i 1.85420 + 0.266594i 0.976954 0.213449i \(-0.0684697\pi\)
0.877245 + 0.480043i \(0.159379\pi\)
\(138\) 0.908302 3.03088i 0.0773198 0.258005i
\(139\) 7.37206 3.36671i 0.625290 0.285560i −0.0774620 0.996995i \(-0.524682\pi\)
0.702752 + 0.711435i \(0.251954\pi\)
\(140\) 16.9189 + 13.7783i 1.42991 + 1.16448i
\(141\) 9.54109 3.85245i 0.803505 0.324435i
\(142\) −2.73542 + 0.920705i −0.229551 + 0.0772638i
\(143\) −2.42034 0.710675i −0.202399 0.0594296i
\(144\) 0.908500 11.9656i 0.0757083 0.997130i
\(145\) −4.06787 0.388434i −0.337818 0.0322577i
\(146\) −18.6508 1.04785i −1.54355 0.0867206i
\(147\) −18.6274 11.8934i −1.53636 0.980952i
\(148\) 1.22103 + 5.43599i 0.100368 + 0.446836i
\(149\) −5.09583 17.3548i −0.417467 1.42176i −0.853152 0.521662i \(-0.825312\pi\)
0.435686 0.900099i \(-0.356506\pi\)
\(150\) −0.460747 2.46432i −0.0376198 0.201211i
\(151\) −9.95148 + 19.3032i −0.809840 + 1.57087i 0.0111569 + 0.999938i \(0.496449\pi\)
−0.820997 + 0.570933i \(0.806582\pi\)
\(152\) −19.3802 + 7.18937i −1.57194 + 0.583135i
\(153\) 8.99325 0.481725i 0.727061 0.0389451i
\(154\) 4.90011 + 8.65682i 0.394862 + 0.697586i
\(155\) −13.6528 19.1727i −1.09662 1.53999i
\(156\) 4.68725 2.91982i 0.375280 0.233773i
\(157\) 12.6146 5.05014i 1.00676 0.403045i 0.191094 0.981572i \(-0.438797\pi\)
0.815663 + 0.578527i \(0.196372\pi\)
\(158\) −15.6534 + 2.87879i −1.24532 + 0.229024i
\(159\) −10.0451 19.3442i −0.796632 1.53410i
\(160\) 13.1424 + 4.47544i 1.03900 + 0.353815i
\(161\) −5.22305 2.38529i −0.411634 0.187987i
\(162\) 7.83478 10.0308i 0.615558 0.788091i
\(163\) 19.7623 + 11.4098i 1.54790 + 0.893682i 0.998302 + 0.0582552i \(0.0185537\pi\)
0.549601 + 0.835427i \(0.314780\pi\)
\(164\) −4.89646 1.27663i −0.382350 0.0996881i
\(165\) 1.25346 6.60870i 0.0975821 0.514486i
\(166\) −13.6154 + 14.0379i −1.05676 + 1.08955i
\(167\) −1.30381 + 5.37438i −0.100892 + 0.415882i −0.999750 0.0223576i \(-0.992883\pi\)
0.898858 + 0.438240i \(0.144398\pi\)
\(168\) −21.2847 4.60378i −1.64215 0.355189i
\(169\) −9.70952 3.88710i −0.746886 0.299008i
\(170\) −2.05909 + 10.2143i −0.157925 + 0.783398i
\(171\) −21.3368 5.04283i −1.63167 0.385635i
\(172\) −2.89770 10.5295i −0.220948 0.802863i
\(173\) 5.86833 + 2.03105i 0.446161 + 0.154418i 0.540905 0.841084i \(-0.318082\pi\)
−0.0947436 + 0.995502i \(0.530203\pi\)
\(174\) 3.79463 1.49469i 0.287670 0.113312i
\(175\) −4.54445 + 0.216479i −0.343528 + 0.0163643i
\(176\) 4.83901 + 4.07993i 0.364754 + 0.307536i
\(177\) −3.40303 + 0.666323i −0.255788 + 0.0500839i
\(178\) −15.7021 0.133844i −1.17692 0.0100320i
\(179\) −2.21623 15.4142i −0.165648 1.15211i −0.887751 0.460324i \(-0.847733\pi\)
0.722102 0.691786i \(1.75682\pi\)
\(180\) 8.97338 + 11.6758i 0.668836 + 0.870262i
\(181\) 12.6545 + 9.95160i 0.940600 + 0.739696i 0.965611 0.259991i \(-0.0837195\pi\)
−0.0250107 + 0.999687i \(0.507962\pi\)
\(182\) −4.08524 9.15106i −0.302818 0.678322i
\(183\) 2.52623 5.57525i 0.186745 0.412134i
\(184\) −3.64376 0.267095i −0.268621 0.0196905i
\(185\) −5.56920 3.96581i −0.409456 0.291572i
\(186\) 20.8194 + 10.8803i 1.52656 + 0.797781i
\(187\) −2.56822 + 3.99623i −0.187807 + 0.292233i
\(188\) −6.72584 9.79429i −0.490533 0.714322i
\(189\) −16.0870 16.5747i −1.17016 1.20563i
\(190\) 11.8151 22.4462i 0.857156 1.62842i
\(191\) −6.67692 + 5.25079i −0.483125 + 0.379934i −0.829808 0.558048i \(-0.811550\pi\)
0.346683 + 0.937982i \(0.387308\pi\)
\(192\) −13.7165 + 1.96394i −0.989905 + 0.141735i
\(193\) −1.57550 1.81823i −0.113407 0.130879i 0.696207 0.717841i \(-0.254869\pi\)
−0.809615 + 0.586962i \(0.800324\pi\)
\(194\) −7.67869 19.6646i −0.551298 1.41183i
\(195\) −1.88996 + 6.50774i −0.135343 + 0.466029i
\(196\) −8.75649 + 23.9702i −0.625464 + 1.71215i
\(197\) −5.39287 10.4607i −0.384226 0.745294i 0.614833 0.788657i \(-0.289223\pi\)
−0.999059 + 0.0433626i \(0.986193\pi\)
\(198\) 1.87456 + 6.44636i 0.133219 + 0.458123i
\(199\) 4.89226 1.18685i 0.346803 0.0841335i −0.0585742 0.998283i \(-0.518655\pi\)
0.405377 + 0.914150i \(0.367140\pi\)
\(200\) −2.66315 + 1.13485i −0.188313 + 0.0802459i
\(201\) −4.94914 + 13.2856i −0.349085 + 0.937091i
\(202\) −11.5740 4.74840i −0.814346 0.334097i
\(203\) −1.74491 7.19261i −0.122469 0.504822i
\(204\) −2.78897 10.0184i −0.195267 0.701431i
\(205\) 5.51924 2.84536i 0.385480 0.198729i
\(206\) −0.342338 8.75635i −0.0238518 0.610083i
\(207\) −3.06019 2.37741i −0.212698 0.165241i
\(208\) −4.46227 4.55511i −0.309403 0.315840i
\(209\) 8.73966 7.57296i 0.604535 0.523833i
\(210\) 23.2171 13.2326i 1.60213 0.913138i
\(211\) −8.98985 11.4315i −0.618887 0.786979i 0.371031 0.928620i \(-0.379004\pi\)
−0.989918 + 0.141642i \(0.954762\pi\)
\(212\) −19.2996 + 16.1554i −1.32550 + 1.10956i
\(213\) −0.157754 + 3.53135i −0.0108091 + 0.241964i
\(214\) 0.847685 1.29463i 0.0579465 0.0884988i
\(215\) 11.2740 + 7.24538i 0.768883 + 0.494131i
\(216\) −13.2650 6.32773i −0.902568 0.430547i
\(217\) 24.7280 34.7256i 1.67864 2.35732i
\(218\) −2.67619 + 2.27929i −0.181255 + 0.154373i
\(219\) −9.44247 + 20.8390i −0.638063 + 1.40817i
\(220\) −7.76349 + 0.237267i −0.523414 + 0.0159965i
\(221\) 2.95833 3.76182i 0.198999 0.253047i
\(222\) 6.74863 + 1.00868i 0.452938 + 0.0676983i
\(223\) 3.00035 0.431385i 0.200918 0.0288877i −0.0411209 0.999154i \(-0.513093\pi\)
0.242039 + 0.970267i \(0.422184\pi\)
\(224\) 0.125253 + 25.1455i 0.00836882 + 1.68010i
\(225\) −3.01836 0.563249i −0.201224 0.0375499i
\(226\) −0.236910 + 0.119591i −0.0157590 + 0.00795505i
\(227\) 1.05756 + 22.2009i 0.0701927 + 1.47353i 0.709571 + 0.704634i \(0.248889\pi\)
−0.639378 + 0.768892i \(0.720808\pi\)
\(228\) −0.356708 + 25.3139i −0.0236236 + 1.67645i
\(229\) −3.99931 + 11.5552i −0.264282 + 0.763592i 0.732300 + 0.680982i \(0.238447\pi\)
−0.996582 + 0.0826100i \(0.973674\pi\)
\(230\) 3.54768 2.74131i 0.233927 0.180757i
\(231\) 12.0539 1.76948i 0.793088 0.116423i
\(232\) −2.63270 3.90469i −0.172845 0.256356i
\(233\) 2.53184 6.32423i 0.165866 0.414314i −0.822027 0.569449i \(-0.807157\pi\)
0.987893 + 0.155134i \(0.0495810\pi\)
\(234\) −1.26265 6.64449i −0.0825417 0.434364i
\(235\) 14.1690 + 3.43737i 0.924285 + 0.224229i
\(236\) 1.60103 + 3.67008i 0.104218 + 0.238902i
\(237\) −3.63245 + 19.1515i −0.235953 + 1.24402i
\(238\) −18.7024 + 2.52648i −1.21229 + 0.163767i
\(239\) 2.94275 5.09700i 0.190351 0.329697i −0.755016 0.655707i \(-0.772371\pi\)
0.945367 + 0.326009i \(0.105704\pi\)
\(240\) 10.9220 13.0321i 0.705015 0.841220i
\(241\) 1.77183 3.87976i 0.114133 0.249917i −0.843941 0.536435i \(-0.819771\pi\)
0.958075 + 0.286518i \(0.0924978\pi\)
\(242\) 11.3206 + 4.02647i 0.727716 + 0.258832i
\(243\) −7.99297 13.3833i −0.512749 0.858538i
\(244\) −6.91626 1.45570i −0.442768 0.0931916i
\(245\) −11.6390 29.0728i −0.743587 1.85739i
\(246\) −3.62289 + 5.02816i −0.230987 + 0.320584i
\(247\) −9.49011 + 6.75788i −0.603841 + 0.429993i
\(248\) 7.06690 26.1884i 0.448749 1.66296i
\(249\) 10.0141 + 21.7573i 0.634618 + 1.37882i
\(250\) −5.84035 + 12.5054i −0.369376 + 0.790910i
\(251\) 24.2837 + 12.5191i 1.53277 + 0.790199i 0.998481 0.0551003i \(-0.0175478\pi\)
0.534292 + 0.845300i \(0.320578\pi\)
\(252\) −14.6684 + 22.2753i −0.924024 + 1.40321i
\(253\) 1.96117 0.575852i 0.123298 0.0362035i
\(254\) 3.27778 + 4.68704i 0.205666 + 0.294091i
\(255\) 10.7560 + 6.86762i 0.673569 + 0.430067i
\(256\) 5.63952 + 14.9732i 0.352470 + 0.935823i
\(257\) −1.20238 + 12.5919i −0.0750024 + 0.785461i 0.877227 + 0.480076i \(0.159391\pi\)
−0.952229 + 0.305385i \(0.901215\pi\)
\(258\) −13.3075 1.34550i −0.828487 0.0837674i
\(259\) 3.48871 11.8815i 0.216778 0.738278i
\(260\) 7.80862 + 0.505512i 0.484270 + 0.0313505i
\(261\) −0.0295407 4.99491i −0.00182852 0.309177i
\(262\) 2.85347 9.42022i 0.176288 0.581983i
\(263\) 0.239307 + 0.524010i 0.0147563 + 0.0323118i 0.916867 0.399194i \(-0.130710\pi\)
−0.902110 + 0.431505i \(0.857983\pi\)
\(264\) 6.79932 3.72318i 0.418469 0.229146i
\(265\) 4.39549 30.5713i 0.270013 1.87798i
\(266\) 45.4177 + 6.92571i 2.78474 + 0.424642i
\(267\) −7.09488 + 17.8752i −0.434199 + 1.09394i
\(268\) 16.2137 + 2.26172i 0.990410 + 0.138157i
\(269\) 16.1436i 0.984291i −0.870513 0.492145i \(-0.836213\pi\)
0.870513 0.492145i \(-0.163787\pi\)
\(270\) 17.3029 5.08711i 1.05302 0.309592i
\(271\) −26.9307 3.87205i −1.63592 0.235210i −0.737821 0.674997i \(-0.764145\pi\)
−0.898102 + 0.439786i \(0.855054\pi\)
\(272\) −10.5980 + 5.64611i −0.642600 + 0.342346i
\(273\) −12.2581 + 0.620263i −0.741896 + 0.0375400i
\(274\) −29.6765 8.98926i −1.79282 0.543061i
\(275\) 1.17211 1.11760i 0.0706808 0.0673940i
\(276\) −1.91600 + 4.04368i −0.115330 + 0.243401i
\(277\) −21.3785 6.27728i −1.28451 0.377165i −0.432946 0.901420i \(-0.642526\pi\)
−0.851561 + 0.524255i \(0.824344\pi\)
\(278\) −11.0243 + 3.13520i −0.661192 + 0.188037i
\(279\) 21.6315 18.9690i 1.29505 1.13564i
\(280\) −20.7161 22.8697i −1.23802 1.36673i
\(281\) −3.56489 + 18.4964i −0.212664 + 1.10340i 0.705954 + 0.708257i \(0.250518\pi\)
−0.918618 + 0.395147i \(0.870694\pi\)
\(282\) −14.1602 + 3.35189i −0.843230 + 0.199602i
\(283\) −1.75008 5.96023i −0.104032 0.354299i 0.890982 0.454039i \(-0.150017\pi\)
−0.995014 + 0.0997396i \(0.968199\pi\)
\(284\) 4.02054 0.704036i 0.238575 0.0417768i
\(285\) −20.4137 23.4184i −1.20920 1.38719i
\(286\) 3.23225 + 1.50955i 0.191127 + 0.0892614i
\(287\) 8.13960 + 7.76110i 0.480466 + 0.458123i
\(288\) −3.82104 + 16.5348i −0.225157 + 0.974322i
\(289\) 4.63332 + 6.50659i 0.272549 + 0.382741i
\(290\) 5.60428 + 1.41027i 0.329095 + 0.0828140i
\(291\) −25.8550 + 0.0764547i −1.51565 + 0.00448186i
\(292\) 25.8513 + 5.44106i 1.51284 + 0.318414i
\(293\) 6.40700 + 5.55170i 0.374301 + 0.324334i 0.821615 0.570044i \(-0.193074\pi\)
−0.447313 + 0.894377i \(0.647619\pi\)
\(294\) 23.5065 + 20.5988i 1.37093 + 1.20134i
\(295\) −4.46956 2.04118i −0.260228 0.118842i
\(296\) −0.548174 7.86011i −0.0318620 0.456860i
\(297\) 8.19157 + 0.708929i 0.475323 + 0.0411362i
\(298\) 3.42440 + 25.3493i 0.198370 + 1.46845i
\(299\) −2.02198 + 0.389704i −0.116934 + 0.0225372i
\(300\) 0.118784 + 3.54348i 0.00685802 + 0.204583i
\(301\) −5.72252 + 23.5885i −0.329840 + 1.35962i
\(302\) 18.0279 24.8653i 1.03739 1.43084i
\(303\) −10.5404 + 11.1201i −0.605532 + 0.638836i
\(304\) 28.6272 5.91949i 1.64188 0.339506i
\(305\) 7.51119 4.33659i 0.430089 0.248312i
\(306\) −12.6757 1.24378i −0.724624 0.0711019i
\(307\) −8.00507 2.77058i −0.456873 0.158125i 0.0889314 0.996038i \(-0.471655\pi\)
−0.545805 + 0.837912i \(0.683776\pi\)
\(308\) −5.00508 13.1473i −0.285191 0.749138i
\(309\) −10.1525 3.48024i −0.577558 0.197984i
\(310\) 14.9999 + 29.7150i 0.851940 + 1.68770i
\(311\) 27.3733 17.5918i 1.55220 0.997538i 0.567480 0.823387i \(-0.307919\pi\)
0.984719 0.174150i \(-0.0557178\pi\)
\(312\) −7.17549 + 3.08280i −0.406232 + 0.174529i
\(313\) −0.626158 4.35503i −0.0353926 0.246161i 0.964443 0.264291i \(-0.0851378\pi\)
−0.999836 + 0.0181300i \(0.994229\pi\)
\(314\) −18.7125 + 4.37107i −1.05601 + 0.246674i
\(315\) −4.84937 32.3680i −0.273231 1.82373i
\(316\) 22.4980 0.687581i 1.26561 0.0386794i
\(317\) −13.7469 0.654848i −0.772105 0.0367799i −0.342168 0.939639i \(-0.611161\pi\)
−0.429937 + 0.902859i \(0.641464\pi\)
\(318\) 9.91970 + 29.1857i 0.556269 + 1.63665i
\(319\) 2.14610 + 1.52823i 0.120159 + 0.0855647i
\(320\) −17.4196 9.05870i −0.973787 0.506397i
\(321\) −1.10391 1.54056i −0.0616141 0.0859857i
\(322\) 6.79359 + 4.44825i 0.378592 + 0.247891i
\(323\) 7.17574 + 20.7329i 0.399269 + 1.15361i
\(324\) −13.0919 + 12.3533i −0.727326 + 0.686292i
\(325\) −1.28252 + 1.00858i −0.0711413 + 0.0559461i
\(326\) −25.1963 20.1645i −1.39549 1.11681i
\(327\) 1.42016 + 4.06435i 0.0785348 + 0.224759i
\(328\) 6.57335 + 2.82866i 0.362953 + 0.156187i
\(329\) 2.51018 + 26.2878i 0.138390 + 1.44929i
\(330\) −3.16130 + 8.97208i −0.174024 + 0.493897i
\(331\) −12.1369 23.5422i −0.667102 1.29400i −0.942994 0.332809i \(-0.892004\pi\)
0.275892 0.961189i \(1.58897\pi\)
\(332\) 22.0278 16.7231i 1.20893 0.917798i
\(333\) 4.13570 7.26210i 0.226635 0.397960i
\(334\) 2.96855 7.23571i 0.162432 0.395921i
\(335\) −16.6655 + 11.2176i −0.910534 + 0.612884i
\(336\) 28.7757 + 10.9740i 1.56984 + 0.598679i
\(337\) −3.33791 13.7591i −0.181828 0.749503i −0.987562 0.157227i \(-0.949745\pi\)
0.805735 0.592276i \(-0.201771\pi\)
\(338\) 12.7457 + 7.50433i 0.693276 + 0.408182i
\(339\) 0.0318524 + 0.323462i 0.00172998 + 0.0175680i
\(340\) 5.05627 13.8411i 0.274214 0.750639i
\(341\) 1.44249 + 15.1064i 0.0781151 + 0.818058i
\(342\) 28.7549 + 11.5989i 1.55489 + 0.627196i
\(343\) 19.3496 16.7665i 1.04478 0.905307i
\(344\) 1.80639 + 15.3385i 0.0973939 + 0.826995i
\(345\) −1.56257 5.26399i −0.0841260 0.283404i
\(346\) −7.77124 4.09057i −0.417785 0.219911i
\(347\) 0.742642 + 2.14572i 0.0398671 + 0.115189i 0.963178 0.268866i \(-0.0866488\pi\)
−0.923311 + 0.384054i \(0.874528\pi\)
\(348\) −5.62374 + 1.28068i −0.301464 + 0.0686517i
\(349\) 25.1112 + 16.1380i 1.34417 + 0.863847i 0.997255 0.0740482i \(-0.0235919\pi\)
0.346918 + 0.937895i \(0.387228\pi\)
\(350\) 6.39953 + 0.666173i 0.342069 + 0.0356084i
\(351\) −8.14733 1.49543i −0.434872 0.0798204i
\(352\) −5.89540 6.73557i −0.314226 0.359007i
\(353\) −28.2061 1.34362i −1.50126 0.0715137i −0.719237 0.694765i \(-0.755508\pi\)
−0.782022 + 0.623251i \(0.785811\pi\)
\(354\) 4.89967 0.206070i 0.260415 0.0109525i
\(355\) −3.09626 + 3.93721i −0.164332 + 0.208966i
\(356\) 21.9238 + 3.53461i 1.16196 + 0.187334i
\(357\) −5.38281 + 22.4781i −0.284888 + 1.18967i
\(358\) −0.187717 + 22.0223i −0.00992118 + 1.16392i
\(359\) 15.3546 9.86778i 0.810383 0.520802i −0.0686059 0.997644i \(-0.521855\pi\)
0.878989 + 0.476842i \(0.158219\pi\)
\(360\) −10.0561 18.2364i −0.530004 0.961142i
\(361\) −1.63729 34.3710i −0.0861732 1.80900i
\(362\) −15.5701 16.6106i −0.818345 0.873036i
\(363\) 9.60383 11.1499i 0.504070 0.585216i
\(364\) 3.76049 + 13.6646i 0.197103 + 0.716219i
\(365\) −28.0750 + 16.2091i −1.46951 + 0.848425i
\(366\) −4.72038 + 7.25593i −0.246738 + 0.379274i
\(367\) 3.61451 9.02861i 0.188676 0.471290i −0.803626 0.595135i \(-0.797098\pi\)
0.992302 + 0.123846i \(0.0395227\pi\)
\(368\) 5.03722 + 1.15022i 0.262583 + 0.0599592i
\(369\) 4.14128 + 6.36093i 0.215586 + 0.331137i
\(370\) 6.94057 + 6.73170i 0.360823 + 0.349964i
\(371\) 54.9293 10.5868i 2.85179 0.549637i
\(372\) −26.7871 19.6497i −1.38885 1.01879i
\(373\) −1.25645 + 2.17624i −0.0650567 + 0.112682i −0.896719 0.442600i \(-0.854056\pi\)
0.831662 + 0.555282i \(0.187389\pi\)
\(374\) 4.44245 5.03942i 0.229714 0.260582i
\(375\) 11.7012 + 12.1994i 0.604245 + 0.629973i
\(376\) 7.31506 + 15.1268i 0.377245 + 0.780105i
\(377\) −2.00595 1.73817i −0.103312 0.0895201i
\(378\) 18.9570 + 26.6018i 0.975044 + 1.36825i
\(379\) 2.62982 + 6.56897i 0.135085 + 0.337425i 0.980451 0.196761i \(-0.0630424\pi\)
−0.845367 + 0.534186i \(0.820618\pi\)
\(380\) −21.3034 + 28.8622i −1.09284 + 1.48060i
\(381\) 6.80250 1.67158i 0.348503 0.0856378i
\(382\) 10.4541 5.91744i 0.534878 0.302763i
\(383\) 10.2112 + 9.73634i 0.521767 + 0.497504i 0.904569 0.426327i \(-0.140193\pi\)
−0.382803 + 0.923830i \(0.625041\pi\)
\(384\) 19.5951 + 0.178504i 0.999959 + 0.00910926i
\(385\) 15.3441 + 7.91044i 0.782008 + 0.403153i
\(386\) 1.81501 + 2.87786i 0.0923818 + 0.146479i
\(387\) −7.42013 + 14.6045i −0.377186 + 0.742386i
\(388\) 6.54296 + 29.1291i 0.332168 + 1.47881i
\(389\) −3.49142 + 18.1152i −0.177022 + 0.918477i 0.779408 + 0.626516i \(0.215520\pi\)
−0.956430 + 0.291961i \(0.905692\pi\)
\(390\) 4.02963 8.69524i 0.204048 0.440301i
\(391\) −0.368608 + 3.86024i −0.0186413 + 0.195221i
\(392\) 17.3522 31.6448i 0.876417 1.59830i
\(393\) −9.49790 7.42388i −0.479106 0.374485i
\(394\) 5.30942 + 15.7743i 0.267485 + 0.794698i
\(395\) −19.9903 + 19.0607i −1.00582 + 0.959049i
\(396\) −1.24645 9.41199i −0.0626366 0.472970i
\(397\) 6.13198 + 13.4272i 0.307755 + 0.673890i 0.998803 0.0489195i \(-0.0155778\pi\)
−0.691048 + 0.722809i \(0.742850\pi\)
\(398\) −7.09265 + 0.616307i −0.355523 + 0.0308927i
\(399\) 27.9898 48.8126i 1.40124 2.44369i
\(400\) 3.96516 1.01883i 0.198258 0.0509413i
\(401\) 21.1231i 1.05484i 0.849606 + 0.527418i \(0.176840\pi\)
−0.849606 + 0.527418i \(0.823160\pi\)
\(402\) 9.75147 17.5188i 0.486359 0.873759i
\(403\) 15.2882i 0.761558i
\(404\) 15.1688 + 9.10596i 0.754676 + 0.453039i
\(405\) 1.83942 22.0118i 0.0914016 1.09377i
\(406\) 0.906097 + 10.4276i 0.0449688 + 0.517515i
\(407\) 1.83116 + 4.00967i 0.0907670 + 0.198752i
\(408\) 1.76331 + 14.6009i 0.0872969 + 0.722851i
\(409\) 7.50900 7.15981i 0.371296 0.354030i −0.481341 0.876533i \(-0.659850\pi\)
0.852637 + 0.522503i \(0.175002\pi\)
\(410\) −8.32278 + 2.80134i −0.411033 + 0.138348i
\(411\) −23.3874 + 29.9212i −1.15362 + 1.47590i
\(412\) −1.38814 + 12.3148i −0.0683887 + 0.606707i
\(413\) 0.845951 8.85920i 0.0416265 0.435933i
\(414\) 3.77148 + 3.97613i 0.185358 + 0.195416i
\(415\) −6.42290 + 33.3252i −0.315288 + 1.63587i
\(416\) 5.26740 + 7.31959i 0.258255 + 0.358872i
\(417\) −1.29300 + 13.9776i −0.0633187 + 0.684487i
\(418\) −13.8330 + 8.72420i −0.676593 + 0.426715i
\(419\) −14.8409 7.65101i −0.725025 0.373776i 0.0558704 0.998438i \(-0.482207\pi\)
−0.780896 + 0.624662i \(0.785237\pi\)
\(420\) −35.2797 + 13.5503i −1.72148 + 0.661187i
\(421\) 2.24519 + 2.14078i 0.109424 + 0.104335i 0.742816 0.669495i \(-0.233490\pi\)
−0.633392 + 0.773831i \(0.718338\pi\)
\(422\) 10.1312 + 17.8984i 0.493180 + 0.871280i
\(423\) −2.43195 + 17.6552i −0.118246 + 0.858427i
\(424\) 30.4259 18.4717i 1.47761 0.897067i
\(425\) 1.14196 + 2.85247i 0.0553930 + 0.138365i
\(426\) 0.973390 4.90338i 0.0471609 0.237570i
\(427\) 11.8720 + 10.2871i 0.574524 + 0.497828i
\(428\) −1.46111 + 1.62924i −0.0706252 + 0.0787522i
\(429\) 3.15316 3.02438i 0.152236 0.146018i
\(430\) −14.2171 12.5329i −0.685608 0.604391i
\(431\) −8.04136 + 13.9281i −0.387339 + 0.670891i −0.992091 0.125523i \(-0.959939\pi\)
0.604752 + 0.796414i \(0.293272\pi\)
\(432\) 17.1962 + 11.6744i 0.827350 + 0.561686i
\(433\) 12.3184 2.37419i 0.591987 0.114096i 0.115545 0.993302i \(-0.463139\pi\)
0.476441 + 0.879206i \(0.341926\pi\)
\(434\) −41.9740 + 43.2764i −2.01482 + 2.07734i
\(435\) 4.08846 5.77752i 0.196027 0.277011i
\(436\) 4.22738 2.61603i 0.202455 0.125285i
\(437\) 3.50855 8.76393i 0.167837 0.419236i
\(438\) 17.6437 27.1210i 0.843048 1.29589i
\(439\) −28.0149 + 16.1744i −1.33708 + 0.771962i −0.986373 0.164524i \(-0.947391\pi\)
−0.350704 + 0.936486i \(0.614058\pi\)
\(440\) 10.9043 + 1.32337i 0.519844 + 0.0630892i
\(441\) 33.9196 17.7415i 1.61522 0.844832i
\(442\) −4.93787 + 4.62854i −0.234871 + 0.220157i
\(443\) −0.0875368 1.83762i −0.00415900 0.0873082i 0.995833 0.0911905i \(-0.0290672\pi\)
−0.999992 + 0.00388238i \(0.998764\pi\)
\(444\) −9.21990 2.84891i −0.437557 0.135204i
\(445\) −22.9249 + 14.7330i −1.08675 + 0.698409i
\(446\) −4.28661 0.0365389i −0.202977 0.00173017i
\(447\) 30.4670 + 7.29589i 1.44104 + 0.345084i
\(448\) 5.18560 35.1814i 0.244997 1.66217i
\(449\) 24.1831 30.7513i 1.14127 1.45124i 0.268391 0.963310i \(-0.413508\pi\)
0.872880 0.487934i \(-0.162249\pi\)
\(450\) 4.09975 + 1.43093i 0.193264 + 0.0674547i
\(451\) −3.99896 0.190494i −0.188304 0.00897001i
\(452\) 0.356708 0.116688i 0.0167781 0.00548852i
\(453\) −20.4300 31.5840i −0.959886 1.48395i
\(454\) 3.25444 31.2635i 0.152738 1.46727i
\(455\) −14.6309 9.40269i −0.685906 0.440805i
\(456\) 5.89531 35.3141i 0.276073 1.65373i
\(457\) −4.36537 12.6129i −0.204203 0.590007i 0.795673 0.605726i \(-0.207117\pi\)
−0.999876 + 0.0157195i \(0.994996\pi\)
\(458\) 8.05468 15.3022i 0.376371 0.715026i
\(459\) −7.02464 + 13.9279i −0.327882 + 0.650099i
\(460\) −5.54426 + 3.07617i −0.258502 + 0.143427i
\(461\) 18.3728 15.9201i 0.855705 0.741472i −0.111960 0.993713i \(-0.535713\pi\)
0.967665 + 0.252240i \(0.0811673\pi\)
\(462\) −17.2292 0.0959110i −0.801575 0.00446218i
\(463\) −1.69102 17.7091i −0.0785883 0.823014i −0.945730 0.324953i \(-0.894652\pi\)
0.867142 0.498061i \(1.83405\pi\)
\(464\) 2.84822 + 6.02023i 0.132225 + 0.279482i
\(465\) 40.5710 3.99516i 1.88144 0.185271i
\(466\) −4.88790 + 8.30185i −0.226427 + 0.384576i
\(467\) −6.72083 27.7036i −0.311003 1.28197i −0.885950 0.463781i \(-0.846493\pi\)
0.574947 0.818190i \(1.69498\pi\)
\(468\) 0.348720 + 9.55853i 0.0161196 + 0.441843i
\(469\) −29.0723 21.8793i −1.34243 1.01029i
\(470\) −19.0762 7.82628i −0.879921 0.361000i
\(471\) −3.28049 + 23.3053i −0.151157 + 1.07385i
\(472\) −1.45591 5.47229i −0.0670138 0.251883i
\(473\) −3.95926 7.67989i −0.182047 0.353122i
\(474\) 9.16121 26.0004i 0.420789 1.19424i
\(475\) −0.711007 7.44600i −0.0326232 0.341646i
\(476\) 26.6855 + 0.454966i 1.22313 + 0.0208533i
\(477\) 37.7205 + 1.57332i 1.72710 + 0.0720374i
\(478\) −5.20074 + 6.49851i −0.237876 + 0.297235i
\(479\) 16.0649 12.6336i 0.734026 0.577244i −0.179630 0.983734i \(-0.557490\pi\)
0.913655 + 0.406490i \(0.133247\pi\)
\(480\) −18.0479 + 15.8912i −0.823769 + 0.725329i
\(481\) −1.45246 4.19661i −0.0662264 0.191349i
\(482\) −3.30422 + 5.04637i −0.150503 + 0.229856i
\(483\) 8.08413 5.79279i 0.367841 0.263581i
\(484\) −14.9684 8.04264i −0.680382 0.365574i
\(485\) −29.8429 21.2511i −1.35510 0.964961i
\(486\) 8.32144 + 20.4145i 0.377468 + 0.926023i
\(487\) 24.1260 + 1.14926i 1.09325 + 0.0520780i 0.586450 0.809985i \(-0.300525\pi\)
0.506801 + 0.862063i \(0.330828\pi\)
\(488\) 9.35896 + 3.50961i 0.423660 + 0.158872i
\(489\) −34.1707 + 19.8634i −1.54525 + 0.898256i
\(490\) 10.0739 + 43.1265i 0.455094 + 1.94826i
\(491\) −0.0870910 0.605732i −0.00393036 0.0273363i 0.987762 0.155969i \(-0.0498501\pi\)
−0.991692 + 0.128633i \(0.958941\pi\)
\(492\) 6.13693 6.25728i 0.276674 0.282100i
\(493\) −4.20493 + 2.70234i −0.189380 + 0.121707i
\(494\) 14.7084 7.42469i 0.661761 0.334053i
\(495\) 8.84996 + 7.57736i 0.397776 + 0.340577i
\(496\) −15.4629 + 35.1062i −0.694307 + 1.57631i
\(497\) −8.57306 2.96717i −0.384554 0.133096i
\(498\) −9.36184 32.5528i −0.419514 1.45873i
\(499\) −9.42747 + 5.44295i −0.422031 + 0.243660i −0.695946 0.718094i \(-0.745015\pi\)
0.273915 + 0.961754i \(0.411681\pi\)
\(500\) 10.8311 16.2381i 0.484382 0.726190i
\(501\) −6.95196 6.58954i −0.310590 0.294399i
\(502\) −31.2810 22.6794i −1.39614 1.01223i
\(503\) −8.53736 + 35.1915i −0.380662 + 1.56911i 0.383159 + 0.923683i \(0.374836\pi\)
−0.763821 + 0.645428i \(0.776679\pi\)
\(504\) 25.2560 28.0149i 1.12499 1.24788i
\(505\) −21.3184 + 4.10878i −0.948655 + 0.182838i
\(506\) −2.86458 + 0.386973i −0.127346 + 0.0172031i
\(507\) 14.2062 11.2400i 0.630918 0.499186i
\(508\) −3.58329 7.25151i −0.158983 0.321734i
\(509\) 17.7831 + 8.12128i 0.788223 + 0.359969i 0.768511 0.639836i \(-0.220998\pi\)
0.0197118 + 0.999806i \(0.493725\pi\)
\(510\) −13.5734 11.8943i −0.601040 0.526691i
\(511\) −44.3746 38.4508i −1.96302 1.70096i
\(512\) −4.69224 22.1356i −0.207370 0.978263i
\(513\) 25.9606 27.7149i 1.14619 1.22364i
\(514\) 4.36543 17.3478i 0.192551 0.765179i
\(515\) −8.82133 12.3878i −0.388714 0.545873i
\(516\) 18.3177 + 4.71807i 0.806391 + 0.207702i
\(517\) −6.80328 6.48691i −0.299208 0.285294i
\(518\) −7.41039 + 15.8672i −0.325594 + 0.697163i
\(519\) −8.10784 + 7.06757i −0.355895 + 0.310232i
\(520\) −10.8091 2.37144i −0.474010 0.103994i
\(521\) 9.42964 + 32.1144i 0.413120 + 1.40696i 0.859051 + 0.511890i \(0.171055\pi\)
−0.445931 + 0.895067i \(0.647127\pi\)
\(522\) −1.02355 + 6.98944i −0.0447997 + 0.305920i
\(523\) −6.98021 + 36.2168i −0.305223 + 1.58365i 0.428076 + 0.903743i \(0.359192\pi\)
−0.733299 + 0.679906i \(0.762021\pi\)
\(524\) −5.99757 + 12.5616i −0.262005 + 0.548758i
\(525\) 3.59017 7.01480i 0.156688 0.306151i
\(526\) −0.222852 0.783611i −0.00971680 0.0341671i
\(527\) −27.6240 8.11113i −1.20332 0.353327i
\(528\) −10.2995 + 3.75567i −0.448230 + 0.163445i
\(529\) −15.4383 + 14.7204i −0.671231 + 0.640017i
\(530\) −12.6626 + 41.8033i −0.550027 + 1.81582i
\(531\) 1.93082 5.68734i 0.0837904 0.246809i
\(532\) −62.0199 19.3650i −2.68890 0.839580i
\(533\) 3.99226 + 0.574001i 0.172924 + 0.0248627i
\(534\) 13.7298 23.4779i 0.594146 1.01599i
\(535\) 2.68552i 0.116105i
\(536\) −22.1855 6.61857i −0.958266 0.285879i
\(537\) 25.0701 + 9.95065i 1.08186 + 0.429402i
\(538\) −3.44161 + 22.5696i −0.148378 + 0.973043i
\(539\) −2.87341 + 19.9850i −0.123767 + 0.860815i
\(540\) −25.2748 + 3.42329i −1.08766 + 0.147315i
\(541\) 10.2530 + 22.4510i 0.440812 + 0.965243i 0.991449 + 0.130498i \(0.0416577\pi\)
−0.550637 + 0.834745i \(0.685615\pi\)
\(542\) 36.8251 + 11.1546i 1.58177 + 0.479132i
\(543\) −25.8557 + 10.4399i −1.10958 + 0.448019i
\(544\) 16.0203 5.63418i 0.686864 0.241564i
\(545\) −1.71872 + 5.85343i −0.0736220 + 0.250733i
\(546\) 17.2698 + 1.74613i 0.739077 + 0.0747273i
\(547\) 1.94136 20.3308i 0.0830066 0.869284i −0.854069 0.520159i \(-0.825873\pi\)
0.937076 0.349125i \(-0.113521\pi\)
\(548\) 39.5729 + 18.8941i 1.69047 + 0.807117i
\(549\) 6.20055 + 8.59936i 0.264633 + 0.367012i
\(550\) −1.87693 + 1.31259i −0.0800325 + 0.0559689i
\(551\) 11.6753 3.42817i 0.497383 0.146045i
\(552\) 3.54073 5.24482i 0.150704 0.223234i
\(553\) −44.4660 22.9238i −1.89089 0.974821i
\(554\) 28.5500 + 13.3336i 1.21297 + 0.566490i
\(555\) 10.7572 4.95114i 0.456617 0.210164i
\(556\) 16.0809 2.03293i 0.681982 0.0862156i
\(557\) 6.08460 4.33282i 0.257813 0.183588i −0.443841 0.896105i \(-0.646385\pi\)
0.701654 + 0.712518i \(0.252445\pi\)
\(558\) −34.2860 + 21.9080i −1.45144 + 0.927441i
\(559\) 3.23523 + 8.08122i 0.136836 + 0.341799i
\(560\) 24.0866 + 36.3895i 1.01785 + 1.53774i
\(561\) −3.79181 7.30198i −0.160090 0.308290i
\(562\) 8.92712 25.0990i 0.376568 1.05874i
\(563\) 3.87302 8.48074i 0.163228 0.357421i −0.810290 0.586029i \(-0.800690\pi\)
0.973518 + 0.228609i \(0.0734176\pi\)
\(564\) 20.5113 1.66732i 0.863684 0.0702068i
\(565\) −0.230278 + 0.398853i −0.00968786 + 0.0167799i
\(566\) 1.17606 + 8.70582i 0.0494334 + 0.365933i
\(567\) 38.7647 9.89114i 1.62797 0.415389i
\(568\) −5.77102 + 0.127148i −0.242147 + 0.00533502i
\(569\) −18.1394 4.40057i −0.760443 0.184481i −0.163256 0.986584i \(-0.552200\pi\)
−0.597187 + 0.802102i \(0.703715\pi\)
\(570\) 23.5469 + 37.0921i 0.986273 + 1.55362i
\(571\) 4.37590 10.9305i 0.183126 0.457426i −0.808191 0.588920i \(-0.799553\pi\)
0.991317 + 0.131494i \(0.0419774\pi\)
\(572\) −4.19704 2.79950i −0.175487 0.117053i
\(573\) −2.13685 14.5565i −0.0892684 0.608104i
\(574\) −9.72502 12.5857i −0.405915 0.525316i
\(575\) 0.432403 1.24935i 0.0180325 0.0521014i
\(576\) 8.86704 22.3019i 0.369460 0.929247i
\(577\) 1.53509 + 32.2256i 0.0639068 + 1.34157i 0.772078 + 0.635528i \(0.219217\pi\)
−0.708171 + 0.706041i \(0.750480\pi\)
\(578\) −5.09050 10.0843i −0.211737 0.419453i
\(579\) 4.08942 0.800720i 0.169951 0.0332768i
\(580\) −7.53443 3.16640i −0.312850 0.131478i
\(581\) −60.8437 + 8.74801i −2.52422 + 0.362928i
\(582\) 36.1629 + 5.40508i 1.49900 + 0.224048i
\(583\) −12.3095 + 15.6528i −0.509806 + 0.648271i
\(584\) −34.9816 13.1181i −1.44755 0.542830i
\(585\) −8.14987 8.44674i −0.336956 0.349230i
\(586\) −7.77377 9.12746i −0.321132 0.377052i
\(587\) −23.2764 + 32.6872i −0.960721 + 1.34914i −0.0237566 + 0.999718i \(0.507563\pi\)
−0.936964 + 0.349426i \(0.886377\pi\)
\(588\) −28.4720 33.8095i −1.17416 1.39428i
\(589\) 58.9610 + 37.8919i 2.42945 + 1.56131i
\(590\) 5.81352 + 3.80653i 0.239339 + 0.156712i
\(591\) 20.3642 + 0.909720i 0.837671 + 0.0374209i
\(592\) −0.909304 + 11.1057i −0.0373722 + 0.456442i
\(593\) 19.5263 + 24.8298i 0.801851 + 1.01964i 0.999227 + 0.0393085i \(0.0125155\pi\)
−0.197376 + 0.980328i \(0.563242\pi\)
\(594\) −11.3011 2.73746i −0.463690 0.112319i
\(595\) −24.7520 + 21.4477i −1.01473 + 0.879271i
\(596\) 0.616663 36.1697i 0.0252595 1.48157i
\(597\) −2.43180 + 8.37345i −0.0995268 + 0.342703i
\(598\) 2.90991 0.113766i 0.118995 0.00465224i
\(599\) −5.23936 + 2.70108i −0.214074 + 0.110363i −0.561929 0.827185i \(-0.689941\pi\)
0.347855 + 0.937548i \(0.386910\pi\)
\(600\) 0.589360 4.97929i 0.0240605 0.203279i
\(601\) 7.14052 + 29.4336i 0.291268 + 1.20062i 0.909862 + 0.414912i \(0.136188\pi\)
−0.618593 + 0.785711i \(0.712297\pi\)
\(602\) 13.0292 31.7580i 0.531029 1.29436i
\(603\) −15.6982 18.8830i −0.639279 0.768975i
\(604\) −30.5049 + 30.9197i −1.24123 + 1.25810i
\(605\) 20.2641 4.91602i 0.823853 0.199865i
\(606\) 17.1068 13.2995i 0.694915 0.540253i
\(607\) 6.84357 + 13.2747i 0.277772 + 0.538802i 0.985911 0.167271i \(-0.0534954\pi\)
−0.708139 + 0.706073i \(0.750465\pi\)
\(608\) −41.2843 + 2.17277i −1.67430 + 0.0881176i
\(609\) 12.3107 + 3.57523i 0.498854 + 0.144876i
\(610\) −11.4255 + 4.46148i −0.462607 + 0.180640i
\(611\) 6.20171 + 7.15715i 0.250894 + 0.289547i
\(612\) 17.4562 + 4.44118i 0.705625 + 0.179524i
\(613\) 7.54357 5.93233i 0.304682 0.239605i −0.454098 0.890952i \(-0.650038\pi\)
0.758780 + 0.651347i \(0.225796\pi\)
\(614\) 10.6009 + 5.58000i 0.427816 + 0.225191i
\(615\) −0.479983 + 10.7445i −0.0193548 + 0.433259i
\(616\) 4.19452 + 19.4477i 0.169002 + 0.783569i
\(617\) −20.2603 + 31.5256i −0.815648 + 1.26917i 0.144450 + 0.989512i \(0.453859\pi\)
−0.960099 + 0.279662i \(0.909778\pi\)
\(618\) 13.4518 + 7.02996i 0.541112 + 0.282787i
\(619\) 10.6273 + 7.56766i 0.427147 + 0.304170i 0.773338 0.633994i \(-0.218586\pi\)
−0.346191 + 0.938164i \(0.612525\pi\)
\(620\) −14.6358 44.7409i −0.587789 1.79684i
\(621\) 6.20880 2.54976i 0.249151 0.102319i
\(622\) −42.0197 + 18.7586i −1.68484 + 0.752150i
\(623\) −38.7971 30.5104i −1.55437 1.22237i
\(624\) 10.6889 2.78019i 0.427900 0.111297i
\(625\) 4.13708 + 28.7740i 0.165483 + 1.15096i
\(626\) −0.0530365 + 6.22204i −0.00211976 + 0.248683i
\(627\) 3.84881 + 19.6566i 0.153707 + 0.785008i
\(628\) 27.0930 2.12170i 1.08113 0.0846650i
\(629\) −8.35339 + 0.397921i −0.333072 + 0.0158662i
\(630\) −0.120791 + 46.2860i −0.00481243 + 1.84408i
\(631\) −13.8393 4.78984i −0.550935 0.190680i 0.0373964 0.999301i \(-0.488094\pi\)
−0.588331 + 0.808620i \(0.700215\pi\)
\(632\) −31.6000 3.83502i −1.25698 0.152549i
\(633\) 24.9220 3.65850i 0.990561 0.145412i
\(634\) 19.0793 + 3.84619i 0.757738 + 0.152752i
\(635\) 9.21475 + 3.68903i 0.365676 + 0.146395i
\(636\) −7.64621 42.9179i −0.303192 1.70181i
\(637\) 4.79555 19.7675i 0.190007 0.783218i
\(638\) −2.67457 2.59408i −0.105887 0.102700i
\(639\) −5.17013 3.27960i −0.204527 0.129739i
\(640\) 22.4223 + 16.3782i 0.886321 + 0.647405i
\(641\) 19.7543 + 11.4052i 0.780249 + 0.450477i 0.836519 0.547938i \(-0.184587\pi\)
−0.0562692 + 0.998416i \(0.517921\pi\)
\(642\) 1.21489 + 2.38912i 0.0479480 + 0.0942912i
\(643\) −22.3515 10.2076i −0.881459 0.402549i −0.0773314 0.997005i \(-0.524640\pi\)
−0.804128 + 0.594457i \(0.797367\pi\)
\(644\) −8.54948 7.66720i −0.336897 0.302130i
\(645\) −20.6001 + 10.6973i −0.811129 + 0.421207i
\(646\) −5.61205 30.5155i −0.220803 1.20062i
\(647\) 20.2642 8.11255i 0.796667 0.318937i 0.0626210 0.998037i \(-0.480054\pi\)
0.734046 + 0.679100i \(0.237630\pi\)
\(648\) 20.9367 14.4795i 0.822471 0.568808i
\(649\) 1.83760 + 2.58055i 0.0721321 + 0.101295i
\(650\) 2.00805 1.13664i 0.0787620 0.0445825i
\(651\) 30.8718 + 67.0741i 1.20996 + 2.62884i
\(652\) 30.9269 + 33.5626i 1.21119 + 1.31441i
\(653\) 10.2140 19.8123i 0.399703 0.775315i −0.599992 0.800006i \(-0.704830\pi\)
0.999695 + 0.0246904i \(0.00786000\pi\)
\(654\) −1.11898 5.98493i −0.0437557 0.234029i
\(655\) −4.81249 16.3898i −0.188039 0.640403i
\(656\) −8.58686 5.35598i −0.335260 0.209116i
\(657\) −23.1762 32.1424i −0.904189 1.25399i
\(658\) 2.09487 37.2868i 0.0816666 1.45359i
\(659\) −11.4637 1.09466i −0.446564 0.0426417i −0.130648 0.991429i \(-0.541706\pi\)
−0.315916 + 0.948787i \(0.602312\pi\)
\(660\) 6.33241 11.8695i 0.246489 0.462019i
\(661\) −33.1532 9.73466i −1.28951 0.378634i −0.436111 0.899893i \(-0.643645\pi\)
−0.853399 + 0.521259i \(0.825463\pi\)
\(662\) 11.9491 + 35.5007i 0.464413 + 1.37977i
\(663\) 3.10349 + 7.68618i 0.120529 + 0.298507i
\(664\) −34.3612 + 18.6837i −1.33347 + 0.725068i
\(665\) 72.5256 33.1213i 2.81242 1.28439i
\(666\) −7.33012 + 9.27111i −0.284036 + 0.359248i
\(667\) 2.12882 + 0.306078i 0.0824282 + 0.0118514i
\(668\) −5.69275 + 9.48305i −0.220259 + 0.366910i
\(669\) −1.93688 + 4.87986i −0.0748840 + 0.188666i
\(670\) 25.6907 12.1299i 0.992518 0.468620i
\(671\) −5.59190 −0.215873
\(672\) −37.8904 21.4768i −1.46165 0.828486i
\(673\) −3.69434 + 25.6947i −0.142407 + 0.990459i 0.785823 + 0.618451i \(0.212240\pi\)
−0.928230 + 0.372008i \(0.878669\pi\)
\(674\) 1.73331 + 19.9475i 0.0667646 + 0.768348i
\(675\) 3.44689 4.04997i 0.132671 0.155883i
\(676\) −16.2194 13.2087i −0.623822 0.508026i
\(677\) −18.3757 19.2718i −0.706234 0.740677i 0.268687 0.963228i \(-0.413410\pi\)
−0.974921 + 0.222551i \(0.928562\pi\)
\(678\) 0.0244269 0.459007i 0.000938109 0.0176281i
\(679\) 18.6945 63.6676i 0.717429 2.44334i
\(680\) −10.0197 + 18.2726i −0.384237 + 0.700724i
\(681\) −34.2693 17.5390i −1.31320 0.672094i
\(682\) 1.20383 21.4271i 0.0460971 0.820486i
\(683\) −3.51831 0.678099i −0.134624 0.0259467i 0.121494 0.992592i \(-0.461232\pi\)
−0.256118 + 0.966645i \(0.582444\pi\)
\(684\) −37.7281 22.3461i −1.44257 0.854423i
\(685\) −51.6328 + 15.1608i −1.97279 + 0.579263i
\(686\) −30.6262 + 19.3154i −1.16931 + 0.737464i
\(687\) −13.9166 15.9650i −0.530953 0.609103i
\(688\) 0.744553 21.8291i 0.0283858 0.832227i
\(689\) 13.8440 14.5191i 0.527413 0.553135i
\(690\) 1.06234 + 7.69246i 0.0404424 + 0.292847i
\(691\) 2.01761 1.43673i 0.0767536 0.0546560i −0.541036 0.840999i \(-0.681968\pi\)
0.617790 + 0.786343i \(0.288028\pi\)
\(692\) 9.99255 + 7.37557i 0.379860 + 0.280377i
\(693\) −7.72672 + 19.6362i −0.293514 + 0.745917i
\(694\) −0.580811 3.15816i −0.0220473 0.119882i
\(695\) −13.0256 + 15.0323i −0.494087 + 0.570207i
\(696\) 8.13531 0.591545i 0.308368 0.0224225i
\(697\) 3.15525 6.90903i 0.119514 0.261698i
\(698\) −31.6664 27.9152i −1.19859 1.05661i
\(699\) 7.32110 + 9.25310i 0.276910 + 0.349984i
\(700\) −8.80486 2.29565i −0.332793 0.0867673i
\(701\) 3.44292 + 17.8636i 0.130037 + 0.674697i 0.987179 + 0.159617i \(0.0510259\pi\)
−0.857142 + 0.515080i \(0.827762\pi\)
\(702\) 11.0716 + 3.82761i 0.417870 + 0.144464i
\(703\) 19.7847 + 4.79973i 0.746196 + 0.181025i
\(704\) 6.80614 + 10.6735i 0.256516 + 0.402273i
\(705\) −17.3727 + 18.3281i −0.654292 + 0.690278i
\(706\) 39.1471 + 7.89165i 1.47332 + 0.297006i
\(707\) −19.6612 34.0542i −0.739436 1.28074i
\(708\) −6.89393 0.756453i −0.259090 0.0284293i
\(709\) 7.28474 21.0479i 0.273584 0.790470i −0.721588 0.692323i \(-0.756587\pi\)
0.995172 0.0981469i \(-0.0312915\pi\)
\(710\) 5.16810 4.84435i 0.193955 0.181805i
\(711\) −25.6465 21.9586i −0.961819 0.823512i
\(712\) −29.8970 9.61545i −1.12044 0.360354i
\(713\) 6.69736 + 10.4213i 0.250818 + 0.390281i
\(714\) 12.3175 30.2781i 0.460972 1.13313i
\(715\) 6.12795 0.881066i 0.229172 0.0329500i
\(716\) 4.95733 30.7483i 0.185264 1.14912i
\(717\) 5.12308 + 8.81314i 0.191325 + 0.329133i
\(718\) −23.5702 + 10.5223i −0.879631 + 0.392688i
\(719\) 1.78568 37.4860i 0.0665946 1.39799i −0.680243 0.732987i \(-0.738126\pi\)
0.746838 0.665007i \(-0.231571\pi\)
\(720\) 10.1712 + 27.6393i 0.379058 + 1.03005i
\(721\) 15.9772 22.4368i 0.595022 0.835592i
\(722\) −5.03845 + 48.4015i −0.187512 + 1.80132i
\(723\) 4.30297 + 6.00501i 0.160029 + 0.223329i
\(724\) 18.2266 + 26.5419i 0.677386 + 0.986422i
\(725\) 1.61038 0.557359i 0.0598081 0.0206998i
\(726\) −15.8037 + 13.5407i −0.586529 + 0.502541i
\(727\) −15.2496 19.3915i −0.565577 0.719189i 0.416190 0.909277i \(-0.363365\pi\)
−0.981767 + 0.190088i \(0.939123\pi\)
\(728\) −2.34424 19.9055i −0.0868833 0.737747i
\(729\) 26.9958 0.479017i 0.999843 0.0177414i
\(730\) 42.7060 16.6760i 1.58062 0.617205i
\(731\) 16.3183 1.55821i 0.603554 0.0576324i
\(732\) 8.14622 9.13784i 0.301093 0.337744i
\(733\) 25.2480 13.0163i 0.932557 0.480767i 0.0761665 0.997095i \(-0.475732\pi\)
0.856391 + 0.516329i \(0.172702\pi\)
\(734\) −6.97807 + 11.8519i −0.257565 + 0.437462i
\(735\) 53.7114 + 7.56049i 1.98117 + 0.278873i
\(736\) −6.79709 2.68194i −0.250544 0.0988575i
\(737\) 12.9215 0.891017i 0.475970 0.0328210i
\(738\) −4.43365 9.77578i −0.163205 0.359851i
\(739\) 23.4151 5.68044i 0.861338 0.208958i 0.219325 0.975652i \(-0.429614\pi\)
0.642013 + 0.766693i \(0.278099\pi\)
\(740\) −8.26817 10.8909i −0.303944 0.400358i
\(741\) −1.97753 20.0819i −0.0726464 0.737727i
\(742\) −79.0510 + 3.09058i −2.90205 + 0.113459i
\(743\) −39.3921 + 3.76149i −1.44515 + 0.137996i −0.787961 0.615726i \(-0.788863\pi\)
−0.657194 + 0.753721i \(0.728257\pi\)
\(744\) 33.2607 + 33.1820i 1.21940 + 1.21651i
\(745\) 29.0704 + 33.5490i 1.06506 + 1.22914i
\(746\) 2.22054 2.77464i 0.0812996 0.101587i
\(747\) −41.3196 3.69908i −1.51180 0.135342i
\(748\) −7.28512 + 6.09830i −0.266371 + 0.222976i
\(749\) 4.59649 1.59086i 0.167952 0.0581288i
\(750\)