Properties

Label 105.2.s.c.26.1
Level 105
Weight 2
Character 105.26
Analytic conductor 0.838
Analytic rank 0
Dimension 8
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 105 = 3 \cdot 5 \cdot 7 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 105.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.838429221223\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(4\) over \(\Q(\zeta_{6})\)
Coefficient field: 8.0.856615824.2
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 26.1
Root \(-2.33086i\)
Character \(\chi\) = 105.26
Dual form 105.2.s.c.101.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.01859 - 1.16543i) q^{2} +(-1.21646 + 1.23297i) q^{3} +(1.71646 + 2.97300i) q^{4} +(0.500000 - 0.866025i) q^{5} +(3.89248 - 1.07116i) q^{6} +(1.11699 - 2.39840i) q^{7} -3.33995i q^{8} +(-0.0404447 - 2.99973i) q^{9} +O(q^{10})\) \(q+(-2.01859 - 1.16543i) q^{2} +(-1.21646 + 1.23297i) q^{3} +(1.71646 + 2.97300i) q^{4} +(0.500000 - 0.866025i) q^{5} +(3.89248 - 1.07116i) q^{6} +(1.11699 - 2.39840i) q^{7} -3.33995i q^{8} +(-0.0404447 - 2.99973i) q^{9} +(-2.01859 + 1.16543i) q^{10} +(2.42019 - 1.39730i) q^{11} +(-5.75363 - 1.50019i) q^{12} -3.20486i q^{13} +(-5.04991 + 3.53962i) q^{14} +(0.459555 + 1.66997i) q^{15} +(-0.459555 + 0.795973i) q^{16} +(-0.440969 - 0.763780i) q^{17} +(-3.41434 + 6.10234i) q^{18} +(1.90160 + 1.09789i) q^{19} +3.43292 q^{20} +(1.59840 + 4.29478i) q^{21} -6.51381 q^{22} +(6.53240 + 3.77148i) q^{23} +(4.11806 + 4.06291i) q^{24} +(-0.500000 - 0.866025i) q^{25} +(-3.73505 + 6.46929i) q^{26} +(3.74778 + 3.59918i) q^{27} +(9.04771 - 0.795973i) q^{28} -8.15270i q^{29} +(1.01859 - 3.90656i) q^{30} +(-7.62645 + 4.40313i) q^{31} +(-3.92965 + 2.26878i) q^{32} +(-1.22124 + 4.68378i) q^{33} +2.05568i q^{34} +(-1.51859 - 2.16654i) q^{35} +(8.84876 - 5.26916i) q^{36} +(-0.203727 + 0.352865i) q^{37} +(-2.55903 - 4.43237i) q^{38} +(3.95151 + 3.89859i) q^{39} +(-2.89248 - 1.66997i) q^{40} -8.55098 q^{41} +(1.77876 - 10.5322i) q^{42} -0.118062 q^{43} +(8.30832 + 4.79681i) q^{44} +(-2.61806 - 1.46484i) q^{45} +(-8.79081 - 15.2261i) q^{46} +(-1.31486 + 2.27740i) q^{47} +(-0.422382 - 1.53489i) q^{48} +(-4.50469 - 5.35796i) q^{49} +2.33086i q^{50} +(1.47814 + 0.385407i) q^{51} +(9.52805 - 5.50102i) q^{52} +(6.46794 - 3.73427i) q^{53} +(-3.37062 - 11.6330i) q^{54} -2.79459i q^{55} +(-8.01054 - 3.73067i) q^{56} +(-3.66689 + 1.00908i) q^{57} +(-9.50142 + 16.4569i) q^{58} +(2.04991 + 3.55054i) q^{59} +(-4.17602 + 4.23270i) q^{60} +(10.7004 + 6.17786i) q^{61} +20.5262 q^{62} +(-7.23974 - 3.25365i) q^{63} +12.4147 q^{64} +(-2.77549 - 1.60243i) q^{65} +(7.92380 - 8.03135i) q^{66} +(0.802125 + 1.38932i) q^{67} +(1.51381 - 2.62200i) q^{68} +(-12.5965 + 3.46641i) q^{69} +(0.540445 + 6.14316i) q^{70} +6.25869i q^{71} +(-10.0189 + 0.135083i) q^{72} +(0.192022 - 0.110864i) q^{73} +(0.822480 - 0.474859i) q^{74} +(1.67602 + 0.437000i) q^{75} +7.53794i q^{76} +(-0.647967 - 7.36535i) q^{77} +(-3.43292 - 12.4749i) q^{78} +(1.56849 - 2.71671i) q^{79} +(0.459555 + 0.795973i) q^{80} +(-8.99673 + 0.242646i) q^{81} +(17.2609 + 9.96559i) q^{82} -0.666893 q^{83} +(-10.0248 + 12.1239i) q^{84} -0.881938 q^{85} +(0.238319 + 0.137594i) q^{86} +(10.0521 + 9.91745i) q^{87} +(-4.66689 - 8.08330i) q^{88} +(-0.437271 + 0.757376i) q^{89} +(3.57762 + 6.00807i) q^{90} +(-7.68656 - 3.57978i) q^{91} +25.8944i q^{92} +(3.84834 - 14.7594i) q^{93} +(5.30832 - 3.06476i) q^{94} +(1.90160 - 1.09789i) q^{95} +(1.98292 - 7.60504i) q^{96} +6.37221i q^{97} +(2.84876 + 16.0654i) q^{98} +(-4.28939 - 7.20339i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q - 3q^{2} + q^{3} + 3q^{4} + 4q^{5} + 5q^{6} + 2q^{7} - 5q^{9} + O(q^{10}) \) \( 8q - 3q^{2} + q^{3} + 3q^{4} + 4q^{5} + 5q^{6} + 2q^{7} - 5q^{9} - 3q^{10} - 9q^{12} - 12q^{14} - q^{15} + q^{16} - 12q^{17} - 19q^{18} + 9q^{19} + 6q^{20} + 19q^{21} - 40q^{22} + 27q^{23} + 16q^{24} - 4q^{25} - 6q^{26} + 4q^{27} + 3q^{28} - 5q^{30} - 21q^{31} + 21q^{32} + 2q^{33} + q^{35} + 9q^{36} + 7q^{37} - 12q^{38} - 3q^{39} + 3q^{40} - 30q^{41} + 26q^{42} + 16q^{43} - 4q^{45} - 7q^{46} - 6q^{47} - 25q^{48} - 4q^{49} - 6q^{51} + 30q^{52} + 24q^{53} + 17q^{54} - 21q^{56} + 6q^{57} - 13q^{58} - 12q^{59} - 18q^{60} + 15q^{61} + 24q^{62} - 2q^{63} + 38q^{64} - 3q^{65} + 22q^{66} + 4q^{67} - 13q^{69} + 9q^{70} - 14q^{72} + 15q^{73} + 54q^{74} - 2q^{75} - 36q^{77} - 6q^{78} - 29q^{79} - q^{80} - 41q^{81} + 27q^{82} + 30q^{83} - 3q^{84} - 24q^{85} + 9q^{86} + 32q^{87} - 2q^{88} - 3q^{89} + 7q^{90} - 3q^{91} - 9q^{93} - 24q^{94} + 9q^{95} - 3q^{96} - 39q^{98} - 34q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

\(n\) \(22\) \(31\) \(71\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.01859 1.16543i −1.42736 0.824085i −0.430445 0.902617i \(-0.641643\pi\)
−0.996912 + 0.0785324i \(0.974977\pi\)
\(3\) −1.21646 + 1.23297i −0.702324 + 0.711857i
\(4\) 1.71646 + 2.97300i 0.858231 + 1.48650i
\(5\) 0.500000 0.866025i 0.223607 0.387298i
\(6\) 3.89248 1.07116i 1.58910 0.437299i
\(7\) 1.11699 2.39840i 0.422181 0.906512i
\(8\) 3.33995i 1.18085i
\(9\) −0.0404447 2.99973i −0.0134816 0.999909i
\(10\) −2.01859 + 1.16543i −0.638333 + 0.368542i
\(11\) 2.42019 1.39730i 0.729714 0.421301i −0.0886035 0.996067i \(-0.528240\pi\)
0.818318 + 0.574766i \(0.194907\pi\)
\(12\) −5.75363 1.50019i −1.66093 0.433066i
\(13\) 3.20486i 0.888869i −0.895811 0.444434i \(-0.853405\pi\)
0.895811 0.444434i \(-0.146595\pi\)
\(14\) −5.04991 + 3.53962i −1.34964 + 0.946002i
\(15\) 0.459555 + 1.66997i 0.118657 + 0.431185i
\(16\) −0.459555 + 0.795973i −0.114889 + 0.198993i
\(17\) −0.440969 0.763780i −0.106951 0.185244i 0.807583 0.589754i \(-0.200775\pi\)
−0.914533 + 0.404510i \(0.867442\pi\)
\(18\) −3.41434 + 6.10234i −0.804767 + 1.43834i
\(19\) 1.90160 + 1.09789i 0.436257 + 0.251873i 0.702009 0.712168i \(-0.252287\pi\)
−0.265751 + 0.964042i \(0.585620\pi\)
\(20\) 3.43292 0.767625
\(21\) 1.59840 + 4.29478i 0.348799 + 0.937197i
\(22\) −6.51381 −1.38875
\(23\) 6.53240 + 3.77148i 1.36210 + 0.786408i 0.989903 0.141746i \(-0.0452716\pi\)
0.372196 + 0.928154i \(0.378605\pi\)
\(24\) 4.11806 + 4.06291i 0.840596 + 0.829339i
\(25\) −0.500000 0.866025i −0.100000 0.173205i
\(26\) −3.73505 + 6.46929i −0.732503 + 1.26873i
\(27\) 3.74778 + 3.59918i 0.721261 + 0.692663i
\(28\) 9.04771 0.795973i 1.70986 0.150425i
\(29\) 8.15270i 1.51392i −0.653462 0.756959i \(-0.726684\pi\)
0.653462 0.756959i \(-0.273316\pi\)
\(30\) 1.01859 3.90656i 0.185968 0.713238i
\(31\) −7.62645 + 4.40313i −1.36975 + 0.790826i −0.990896 0.134630i \(-0.957015\pi\)
−0.378855 + 0.925456i \(0.623682\pi\)
\(32\) −3.92965 + 2.26878i −0.694671 + 0.401068i
\(33\) −1.22124 + 4.68378i −0.212590 + 0.815342i
\(34\) 2.05568i 0.352545i
\(35\) −1.51859 2.16654i −0.256688 0.366212i
\(36\) 8.84876 5.26916i 1.47479 0.878193i
\(37\) −0.203727 + 0.352865i −0.0334925 + 0.0580107i −0.882286 0.470714i \(-0.843996\pi\)
0.848793 + 0.528725i \(0.177330\pi\)
\(38\) −2.55903 4.43237i −0.415130 0.719026i
\(39\) 3.95151 + 3.89859i 0.632748 + 0.624274i
\(40\) −2.89248 1.66997i −0.457341 0.264046i
\(41\) −8.55098 −1.33544 −0.667720 0.744413i \(-0.732730\pi\)
−0.667720 + 0.744413i \(0.732730\pi\)
\(42\) 1.77876 10.5322i 0.274469 1.62515i
\(43\) −0.118062 −0.0180044 −0.00900218 0.999959i \(-0.502866\pi\)
−0.00900218 + 0.999959i \(0.502866\pi\)
\(44\) 8.30832 + 4.79681i 1.25253 + 0.723146i
\(45\) −2.61806 1.46484i −0.390278 0.218365i
\(46\) −8.79081 15.2261i −1.29613 2.24497i
\(47\) −1.31486 + 2.27740i −0.191792 + 0.332194i −0.945844 0.324621i \(-0.894763\pi\)
0.754052 + 0.656815i \(0.228097\pi\)
\(48\) −0.422382 1.53489i −0.0609656 0.221542i
\(49\) −4.50469 5.35796i −0.643527 0.765424i
\(50\) 2.33086i 0.329634i
\(51\) 1.47814 + 0.385407i 0.206981 + 0.0539677i
\(52\) 9.52805 5.50102i 1.32130 0.762854i
\(53\) 6.46794 3.73427i 0.888440 0.512941i 0.0150081 0.999887i \(-0.495223\pi\)
0.873432 + 0.486946i \(0.161889\pi\)
\(54\) −3.37062 11.6330i −0.458683 1.58306i
\(55\) 2.79459i 0.376823i
\(56\) −8.01054 3.73067i −1.07045 0.498532i
\(57\) −3.66689 + 1.00908i −0.485692 + 0.133656i
\(58\) −9.50142 + 16.4569i −1.24760 + 2.16090i
\(59\) 2.04991 + 3.55054i 0.266875 + 0.462241i 0.968053 0.250745i \(-0.0806755\pi\)
−0.701178 + 0.712986i \(0.747342\pi\)
\(60\) −4.17602 + 4.23270i −0.539121 + 0.546439i
\(61\) 10.7004 + 6.17786i 1.37004 + 0.790994i 0.990933 0.134358i \(-0.0428972\pi\)
0.379109 + 0.925352i \(0.376231\pi\)
\(62\) 20.5262 2.60683
\(63\) −7.23974 3.25365i −0.912121 0.409921i
\(64\) 12.4147 1.55183
\(65\) −2.77549 1.60243i −0.344257 0.198757i
\(66\) 7.92380 8.03135i 0.975352 0.988591i
\(67\) 0.802125 + 1.38932i 0.0979952 + 0.169733i 0.910855 0.412727i \(-0.135424\pi\)
−0.812860 + 0.582460i \(0.802090\pi\)
\(68\) 1.51381 2.62200i 0.183577 0.317964i
\(69\) −12.5965 + 3.46641i −1.51645 + 0.417307i
\(70\) 0.540445 + 6.14316i 0.0645955 + 0.734248i
\(71\) 6.25869i 0.742770i 0.928479 + 0.371385i \(0.121117\pi\)
−0.928479 + 0.371385i \(0.878883\pi\)
\(72\) −10.0189 + 0.135083i −1.18074 + 0.0159197i
\(73\) 0.192022 0.110864i 0.0224745 0.0129757i −0.488721 0.872440i \(-0.662536\pi\)
0.511195 + 0.859465i \(0.329203\pi\)
\(74\) 0.822480 0.474859i 0.0956114 0.0552012i
\(75\) 1.67602 + 0.437000i 0.193530 + 0.0504604i
\(76\) 7.53794i 0.864661i
\(77\) −0.647967 7.36535i −0.0738427 0.839359i
\(78\) −3.43292 12.4749i −0.388702 1.41250i
\(79\) 1.56849 2.71671i 0.176469 0.305654i −0.764199 0.644980i \(-0.776866\pi\)
0.940669 + 0.339326i \(0.110199\pi\)
\(80\) 0.459555 + 0.795973i 0.0513798 + 0.0889925i
\(81\) −8.99673 + 0.242646i −0.999636 + 0.0269607i
\(82\) 17.2609 + 9.96559i 1.90615 + 1.10051i
\(83\) −0.666893 −0.0732010 −0.0366005 0.999330i \(-0.511653\pi\)
−0.0366005 + 0.999330i \(0.511653\pi\)
\(84\) −10.0248 + 12.1239i −1.09379 + 1.32282i
\(85\) −0.881938 −0.0956596
\(86\) 0.238319 + 0.137594i 0.0256986 + 0.0148371i
\(87\) 10.0521 + 9.91745i 1.07769 + 1.06326i
\(88\) −4.66689 8.08330i −0.497492 0.861682i
\(89\) −0.437271 + 0.757376i −0.0463506 + 0.0802816i −0.888270 0.459322i \(-0.848092\pi\)
0.841919 + 0.539603i \(0.181426\pi\)
\(90\) 3.57762 + 6.00807i 0.377114 + 0.633307i
\(91\) −7.68656 3.57978i −0.805770 0.375263i
\(92\) 25.8944i 2.69968i
\(93\) 3.84834 14.7594i 0.399054 1.53048i
\(94\) 5.30832 3.06476i 0.547511 0.316106i
\(95\) 1.90160 1.09789i 0.195100 0.112641i
\(96\) 1.98292 7.60504i 0.202381 0.776186i
\(97\) 6.37221i 0.647000i 0.946228 + 0.323500i \(0.104860\pi\)
−0.946228 + 0.323500i \(0.895140\pi\)
\(98\) 2.84876 + 16.0654i 0.287768 + 1.62285i
\(99\) −4.28939 7.20339i −0.431100 0.723968i
\(100\) 1.71646 2.97300i 0.171646 0.297300i
\(101\) 5.31267 + 9.20181i 0.528630 + 0.915614i 0.999443 + 0.0333808i \(0.0106274\pi\)
−0.470813 + 0.882233i \(0.656039\pi\)
\(102\) −2.53459 2.50065i −0.250962 0.247601i
\(103\) −0.868777 0.501589i −0.0856031 0.0494230i 0.456587 0.889679i \(-0.349072\pi\)
−0.542191 + 0.840256i \(0.682405\pi\)
\(104\) −10.7041 −1.04962
\(105\) 4.51859 + 0.763135i 0.440969 + 0.0744744i
\(106\) −17.4081 −1.69083
\(107\) −11.0651 6.38846i −1.06971 0.617596i −0.141606 0.989923i \(-0.545226\pi\)
−0.928101 + 0.372328i \(0.878560\pi\)
\(108\) −4.26745 + 17.3200i −0.410635 + 1.66662i
\(109\) −0.00912370 0.0158027i −0.000873892 0.00151363i 0.865588 0.500757i \(-0.166945\pi\)
−0.866462 + 0.499243i \(0.833612\pi\)
\(110\) −3.25691 + 5.64113i −0.310534 + 0.537860i
\(111\) −0.187247 0.680436i −0.0177727 0.0645841i
\(112\) 1.39575 + 1.99129i 0.131886 + 0.188159i
\(113\) 7.23027i 0.680166i 0.940395 + 0.340083i \(0.110455\pi\)
−0.940395 + 0.340083i \(0.889545\pi\)
\(114\) 8.57796 + 2.23659i 0.803399 + 0.209476i
\(115\) 6.53240 3.77148i 0.609149 0.351692i
\(116\) 24.2380 13.9938i 2.25044 1.29929i
\(117\) −9.61371 + 0.129620i −0.888788 + 0.0119833i
\(118\) 9.55611i 0.879711i
\(119\) −2.32441 + 0.204490i −0.213078 + 0.0187456i
\(120\) 5.57762 1.53489i 0.509165 0.140116i
\(121\) −1.59513 + 2.76284i −0.145012 + 0.251167i
\(122\) −14.3997 24.9411i −1.30369 2.25806i
\(123\) 10.4019 10.5431i 0.937911 0.950642i
\(124\) −26.1810 15.1156i −2.35112 1.35742i
\(125\) −1.00000 −0.0894427
\(126\) 10.8221 + 15.0052i 0.964112 + 1.33677i
\(127\) 6.99561 0.620760 0.310380 0.950613i \(-0.399544\pi\)
0.310380 + 0.950613i \(0.399544\pi\)
\(128\) −17.2008 9.93088i −1.52035 0.877774i
\(129\) 0.143618 0.145568i 0.0126449 0.0128165i
\(130\) 3.73505 + 6.46929i 0.327585 + 0.567394i
\(131\) 4.94673 8.56799i 0.432198 0.748589i −0.564864 0.825184i \(-0.691071\pi\)
0.997062 + 0.0765948i \(0.0244048\pi\)
\(132\) −16.0211 + 4.40880i −1.39446 + 0.383737i
\(133\) 4.75724 3.33448i 0.412505 0.289136i
\(134\) 3.73929i 0.323025i
\(135\) 4.99088 1.44608i 0.429546 0.124459i
\(136\) −2.55098 + 1.47281i −0.218745 + 0.126293i
\(137\) −10.9111 + 6.29951i −0.932195 + 0.538203i −0.887505 0.460798i \(-0.847563\pi\)
−0.0446900 + 0.999001i \(0.514230\pi\)
\(138\) 29.4671 + 7.68316i 2.50840 + 0.654034i
\(139\) 0.988113i 0.0838106i −0.999122 0.0419053i \(-0.986657\pi\)
0.999122 0.0419053i \(-0.0133428\pi\)
\(140\) 3.83452 8.23354i 0.324076 0.695861i
\(141\) −1.20850 4.39156i −0.101774 0.369836i
\(142\) 7.29408 12.6337i 0.612106 1.06020i
\(143\) −4.47814 7.75637i −0.374481 0.648620i
\(144\) 2.40629 + 1.34635i 0.200524 + 0.112196i
\(145\) −7.06045 4.07635i −0.586338 0.338523i
\(146\) −0.516818 −0.0427722
\(147\) 12.0860 + 0.963598i 0.996837 + 0.0794762i
\(148\) −1.39876 −0.114977
\(149\) 15.3604 + 8.86834i 1.25837 + 0.726523i 0.972758 0.231821i \(-0.0744684\pi\)
0.285616 + 0.958344i \(0.407802\pi\)
\(150\) −2.87389 2.83540i −0.234652 0.231510i
\(151\) 11.2504 + 19.4862i 0.915542 + 1.58576i 0.806106 + 0.591771i \(0.201571\pi\)
0.109435 + 0.993994i \(0.465096\pi\)
\(152\) 3.66689 6.35124i 0.297424 0.515154i
\(153\) −2.27330 + 1.35368i −0.183785 + 0.109438i
\(154\) −7.27583 + 15.6228i −0.586303 + 1.25892i
\(155\) 8.80626i 0.707336i
\(156\) −4.80789 + 18.4396i −0.384939 + 1.47635i
\(157\) −10.2988 + 5.94600i −0.821931 + 0.474542i −0.851082 0.525033i \(-0.824053\pi\)
0.0291509 + 0.999575i \(0.490720\pi\)
\(158\) −6.33228 + 3.65594i −0.503769 + 0.290851i
\(159\) −3.26375 + 12.5174i −0.258832 + 0.992693i
\(160\) 4.53757i 0.358726i
\(161\) 16.3421 11.4546i 1.28794 0.902752i
\(162\) 18.4435 + 9.99527i 1.44906 + 0.785302i
\(163\) −4.26159 + 7.38130i −0.333794 + 0.578148i −0.983252 0.182249i \(-0.941662\pi\)
0.649459 + 0.760397i \(0.274996\pi\)
\(164\) −14.6774 25.4221i −1.14611 1.98513i
\(165\) 3.44566 + 3.39951i 0.268244 + 0.264652i
\(166\) 1.34618 + 0.777218i 0.104484 + 0.0603238i
\(167\) 3.56923 0.276195 0.138098 0.990419i \(-0.455901\pi\)
0.138098 + 0.990419i \(0.455901\pi\)
\(168\) 14.3443 5.33856i 1.10669 0.411879i
\(169\) 2.72886 0.209912
\(170\) 1.78027 + 1.02784i 0.136540 + 0.0788316i
\(171\) 3.21646 5.74869i 0.245969 0.439613i
\(172\) −0.202650 0.350999i −0.0154519 0.0267634i
\(173\) −4.27114 + 7.39784i −0.324729 + 0.562447i −0.981457 0.191680i \(-0.938606\pi\)
0.656728 + 0.754127i \(0.271940\pi\)
\(174\) −8.73285 31.7342i −0.662036 2.40576i
\(175\) −2.63557 + 0.231865i −0.199231 + 0.0175273i
\(176\) 2.56854i 0.193611i
\(177\) −6.87136 1.79162i −0.516483 0.134666i
\(178\) 1.76534 1.01922i 0.132318 0.0763937i
\(179\) 1.06480 0.614760i 0.0795866 0.0459493i −0.459679 0.888085i \(-0.652035\pi\)
0.539265 + 0.842136i \(0.318702\pi\)
\(180\) −0.138843 10.2978i −0.0103488 0.767555i
\(181\) 15.3995i 1.14464i −0.820032 0.572318i \(-0.806044\pi\)
0.820032 0.572318i \(-0.193956\pi\)
\(182\) 11.3440 + 16.1843i 0.840872 + 1.19966i
\(183\) −20.6337 + 5.67814i −1.52529 + 0.419740i
\(184\) 12.5965 21.8179i 0.928630 1.60843i
\(185\) 0.203727 + 0.352865i 0.0149783 + 0.0259432i
\(186\) −24.9693 + 25.3082i −1.83084 + 1.85569i
\(187\) −2.13445 1.23233i −0.156087 0.0901167i
\(188\) −9.02762 −0.658407
\(189\) 12.8185 4.96846i 0.932410 0.361402i
\(190\) −5.11806 −0.371303
\(191\) −12.5795 7.26275i −0.910218 0.525514i −0.0297166 0.999558i \(-0.509460\pi\)
−0.880501 + 0.474044i \(0.842794\pi\)
\(192\) −15.1020 + 15.3070i −1.08989 + 1.10468i
\(193\) 0.201572 + 0.349134i 0.0145095 + 0.0251312i 0.873189 0.487382i \(-0.162048\pi\)
−0.858679 + 0.512513i \(0.828715\pi\)
\(194\) 7.42638 12.8629i 0.533183 0.923500i
\(195\) 5.35203 1.47281i 0.383267 0.105470i
\(196\) 8.19710 22.5892i 0.585507 1.61351i
\(197\) 11.6716i 0.831564i −0.909464 0.415782i \(-0.863508\pi\)
0.909464 0.415782i \(-0.136492\pi\)
\(198\) 0.263449 + 19.5397i 0.0187225 + 1.38862i
\(199\) −16.0886 + 9.28875i −1.14049 + 0.658462i −0.946552 0.322552i \(-0.895459\pi\)
−0.193938 + 0.981014i \(0.562126\pi\)
\(200\) −2.89248 + 1.66997i −0.204529 + 0.118085i
\(201\) −2.68875 0.701057i −0.189650 0.0494488i
\(202\) 24.7662i 1.74254i
\(203\) −19.5535 9.10645i −1.37239 0.639147i
\(204\) 1.39136 + 5.05605i 0.0974147 + 0.353994i
\(205\) −4.27549 + 7.40537i −0.298613 + 0.517213i
\(206\) 1.16913 + 2.02500i 0.0814574 + 0.141088i
\(207\) 11.0492 19.7479i 0.767974 1.37258i
\(208\) 2.55098 + 1.47281i 0.176879 + 0.102121i
\(209\) 6.13631 0.424457
\(210\) −8.23178 6.80656i −0.568047 0.469697i
\(211\) 6.98175 0.480644 0.240322 0.970693i \(-0.422747\pi\)
0.240322 + 0.970693i \(0.422747\pi\)
\(212\) 22.2039 + 12.8194i 1.52497 + 0.880443i
\(213\) −7.71680 7.61346i −0.528746 0.521666i
\(214\) 14.8906 + 25.7913i 1.01790 + 1.76306i
\(215\) −0.0590312 + 0.102245i −0.00402590 + 0.00697306i
\(216\) 12.0211 12.5174i 0.817931 0.851700i
\(217\) 2.04186 + 23.2095i 0.138611 + 1.57557i
\(218\) 0.0425322i 0.00288064i
\(219\) −0.0968952 + 0.371620i −0.00654757 + 0.0251118i
\(220\) 8.30832 4.79681i 0.560147 0.323401i
\(221\) −2.44781 + 1.41324i −0.164658 + 0.0950651i
\(222\) −0.415027 + 1.59174i −0.0278548 + 0.106831i
\(223\) 1.44594i 0.0968271i 0.998827 + 0.0484135i \(0.0154165\pi\)
−0.998827 + 0.0484135i \(0.984583\pi\)
\(224\) 1.05210 + 11.9591i 0.0702965 + 0.799050i
\(225\) −2.57762 + 1.53489i −0.171841 + 0.102326i
\(226\) 8.42638 14.5949i 0.560514 0.970839i
\(227\) −0.533562 0.924157i −0.0354138 0.0613385i 0.847775 0.530356i \(-0.177942\pi\)
−0.883189 + 0.469017i \(0.844608\pi\)
\(228\) −9.29408 9.16961i −0.615515 0.607272i
\(229\) −6.58058 3.79930i −0.434857 0.251065i 0.266557 0.963819i \(-0.414114\pi\)
−0.701414 + 0.712755i \(0.747447\pi\)
\(230\) −17.5816 −1.15930
\(231\) 9.86950 + 8.16073i 0.649366 + 0.536937i
\(232\) −27.2296 −1.78771
\(233\) 15.5882 + 8.99983i 1.02121 + 0.589598i 0.914455 0.404687i \(-0.132619\pi\)
0.106759 + 0.994285i \(0.465953\pi\)
\(234\) 19.5572 + 10.9425i 1.27849 + 0.715332i
\(235\) 1.31486 + 2.27740i 0.0857720 + 0.148561i
\(236\) −7.03717 + 12.1887i −0.458081 + 0.793419i
\(237\) 1.44162 + 5.23868i 0.0936433 + 0.340289i
\(238\) 4.93034 + 2.29616i 0.319587 + 0.148838i
\(239\) 29.8816i 1.93288i 0.256892 + 0.966440i \(0.417302\pi\)
−0.256892 + 0.966440i \(0.582698\pi\)
\(240\) −1.54044 0.401651i −0.0994353 0.0259265i
\(241\) 4.53760 2.61978i 0.292292 0.168755i −0.346683 0.937982i \(-0.612692\pi\)
0.638975 + 0.769227i \(0.279359\pi\)
\(242\) 6.43980 3.71802i 0.413966 0.239004i
\(243\) 10.6450 11.3879i 0.682877 0.730534i
\(244\) 42.4162i 2.71542i
\(245\) −6.89248 + 1.22219i −0.440344 + 0.0780830i
\(246\) −33.2845 + 9.15948i −2.12214 + 0.583987i
\(247\) 3.51859 6.09437i 0.223882 0.387776i
\(248\) 14.7062 + 25.4719i 0.933846 + 1.61747i
\(249\) 0.811249 0.822261i 0.0514108 0.0521087i
\(250\) 2.01859 + 1.16543i 0.127667 + 0.0737084i
\(251\) −15.0765 −0.951620 −0.475810 0.879548i \(-0.657845\pi\)
−0.475810 + 0.879548i \(0.657845\pi\)
\(252\) −2.75363 27.1085i −0.173463 1.70767i
\(253\) 21.0795 1.32526
\(254\) −14.1212 8.15291i −0.886046 0.511559i
\(255\) 1.07284 1.08741i 0.0671840 0.0680960i
\(256\) 10.7329 + 18.5898i 0.670803 + 1.16187i
\(257\) 7.95478 13.7781i 0.496206 0.859453i −0.503785 0.863829i \(-0.668060\pi\)
0.999990 + 0.00437591i \(0.00139290\pi\)
\(258\) −0.459555 + 0.126464i −0.0286107 + 0.00787329i
\(259\) 0.618753 + 0.882764i 0.0384475 + 0.0548523i
\(260\) 11.0020i 0.682318i
\(261\) −24.4559 + 0.329733i −1.51378 + 0.0204100i
\(262\) −19.9708 + 11.5302i −1.23380 + 0.712336i
\(263\) 7.19124 4.15187i 0.443431 0.256015i −0.261621 0.965171i \(-0.584257\pi\)
0.705052 + 0.709156i \(0.250924\pi\)
\(264\) 15.6436 + 4.07886i 0.962796 + 0.251037i
\(265\) 7.46853i 0.458788i
\(266\) −13.4890 + 1.18670i −0.827065 + 0.0727611i
\(267\) −0.401900 1.46046i −0.0245959 0.0893788i
\(268\) −2.75363 + 4.76943i −0.168205 + 0.291340i
\(269\) 8.69353 + 15.0576i 0.530054 + 0.918080i 0.999385 + 0.0350578i \(0.0111615\pi\)
−0.469332 + 0.883022i \(0.655505\pi\)
\(270\) −11.7598 2.89748i −0.715680 0.176335i
\(271\) −8.82614 5.09577i −0.536150 0.309546i 0.207367 0.978263i \(-0.433510\pi\)
−0.743517 + 0.668717i \(0.766844\pi\)
\(272\) 0.810598 0.0491497
\(273\) 13.7642 5.12265i 0.833046 0.310037i
\(274\) 29.3666 1.77410
\(275\) −2.42019 1.39730i −0.145943 0.0842601i
\(276\) −31.9271 31.4995i −1.92179 1.89605i
\(277\) −4.78018 8.27951i −0.287213 0.497468i 0.685930 0.727667i \(-0.259395\pi\)
−0.973143 + 0.230199i \(0.926062\pi\)
\(278\) −1.15158 + 1.99459i −0.0690670 + 0.119628i
\(279\) 13.5166 + 22.6992i 0.809220 + 1.35896i
\(280\) −7.23612 + 5.07200i −0.432441 + 0.303110i
\(281\) 11.9239i 0.711320i −0.934616 0.355660i \(-0.884256\pi\)
0.934616 0.355660i \(-0.115744\pi\)
\(282\) −2.67860 + 10.2732i −0.159508 + 0.611758i
\(283\) 17.2940 9.98469i 1.02802 0.593528i 0.111604 0.993753i \(-0.464401\pi\)
0.916417 + 0.400225i \(0.131068\pi\)
\(284\) −18.6071 + 10.7428i −1.10413 + 0.637468i
\(285\) −0.959555 + 3.68016i −0.0568392 + 0.217994i
\(286\) 20.8759i 1.23442i
\(287\) −9.55132 + 20.5087i −0.563797 + 1.21059i
\(288\) 6.96467 + 11.6961i 0.410397 + 0.689201i
\(289\) 8.11109 14.0488i 0.477123 0.826401i
\(290\) 9.50142 + 16.4569i 0.557942 + 0.966385i
\(291\) −7.85677 7.75155i −0.460572 0.454404i
\(292\) 0.659198 + 0.380588i 0.0385766 + 0.0222722i
\(293\) 3.01023 0.175859 0.0879297 0.996127i \(-0.471975\pi\)
0.0879297 + 0.996127i \(0.471975\pi\)
\(294\) −23.2736 16.0305i −1.35735 0.934919i
\(295\) 4.09982 0.238700
\(296\) 1.17855 + 0.680436i 0.0685018 + 0.0395495i
\(297\) 14.0995 + 3.47394i 0.818134 + 0.201579i
\(298\) −20.6709 35.8030i −1.19743 2.07401i
\(299\) 12.0871 20.9354i 0.699014 1.21073i
\(300\) 1.57762 + 5.73289i 0.0910838 + 0.330988i
\(301\) −0.131874 + 0.283161i −0.00760109 + 0.0163212i
\(302\) 52.4461i 3.01793i
\(303\) −17.8082 4.64327i −1.02306 0.266749i
\(304\) −1.74778 + 1.00908i −0.100242 + 0.0578748i
\(305\) 10.7004 6.17786i 0.612701 0.353743i
\(306\) 6.16647 0.0831411i 0.352513 0.00475286i
\(307\) 20.3794i 1.16311i −0.813507 0.581556i \(-0.802444\pi\)
0.813507 0.581556i \(-0.197556\pi\)
\(308\) 20.7850 14.5687i 1.18433 0.830131i
\(309\) 1.67528 0.461015i 0.0953033 0.0262263i
\(310\) 10.2631 17.7762i 0.582905 1.00962i
\(311\) 13.6359 + 23.6181i 0.773222 + 1.33926i 0.935789 + 0.352562i \(0.114689\pi\)
−0.162567 + 0.986697i \(0.551977\pi\)
\(312\) 13.0211 13.1978i 0.737173 0.747180i
\(313\) 0.546210 + 0.315354i 0.0308736 + 0.0178249i 0.515357 0.856975i \(-0.327659\pi\)
−0.484484 + 0.874800i \(0.660993\pi\)
\(314\) 27.7186 1.56425
\(315\) −6.43761 + 4.64297i −0.362718 + 0.261602i
\(316\) 10.7690 0.605806
\(317\) 22.0233 + 12.7151i 1.23695 + 0.714153i 0.968470 0.249132i \(-0.0801453\pi\)
0.268480 + 0.963285i \(0.413479\pi\)
\(318\) 21.1763 21.4638i 1.18751 1.20363i
\(319\) −11.3917 19.7311i −0.637815 1.10473i
\(320\) 6.20734 10.7514i 0.347001 0.601023i
\(321\) 21.3371 5.87170i 1.19092 0.327726i
\(322\) −46.3376 + 4.07655i −2.58229 + 0.227177i
\(323\) 1.93654i 0.107752i
\(324\) −16.1639 26.3308i −0.897996 1.46282i
\(325\) −2.77549 + 1.60243i −0.153957 + 0.0888869i
\(326\) 17.2048 9.93319i 0.952885 0.550149i
\(327\) 0.0305829 + 0.00797411i 0.00169124 + 0.000440969i
\(328\) 28.5598i 1.57695i
\(329\) 3.99346 + 5.69739i 0.220166 + 0.314107i
\(330\) −2.99346 10.8779i −0.164784 0.598808i
\(331\) −5.74666 + 9.95352i −0.315865 + 0.547095i −0.979621 0.200855i \(-0.935628\pi\)
0.663756 + 0.747949i \(0.268961\pi\)
\(332\) −1.14470 1.98267i −0.0628233 0.108813i
\(333\) 1.06674 + 0.596853i 0.0584569 + 0.0327074i
\(334\) −7.20480 4.15970i −0.394229 0.227608i
\(335\) 1.60425 0.0876496
\(336\) −4.15308 0.701406i −0.226569 0.0382648i
\(337\) −16.2041 −0.882694 −0.441347 0.897336i \(-0.645499\pi\)
−0.441347 + 0.897336i \(0.645499\pi\)
\(338\) −5.50843 3.18030i −0.299619 0.172985i
\(339\) −8.91472 8.79534i −0.484181 0.477697i
\(340\) −1.51381 2.62200i −0.0820980 0.142198i
\(341\) −12.3050 + 21.3128i −0.666351 + 1.15415i
\(342\) −13.1924 + 7.85566i −0.713364 + 0.424786i
\(343\) −17.8822 + 4.81930i −0.965550 + 0.260218i
\(344\) 0.394322i 0.0212604i
\(345\) −3.29627 + 12.6421i −0.177465 + 0.680629i
\(346\) 17.2433 9.95545i 0.927008 0.535208i
\(347\) −15.5732 + 8.99121i −0.836015 + 0.482673i −0.855908 0.517129i \(-0.827001\pi\)
0.0198929 + 0.999802i \(0.493667\pi\)
\(348\) −12.2306 + 46.9077i −0.655627 + 2.51451i
\(349\) 6.15422i 0.329428i −0.986341 0.164714i \(-0.947330\pi\)
0.986341 0.164714i \(-0.0526701\pi\)
\(350\) 5.59035 + 2.60354i 0.298817 + 0.139165i
\(351\) 11.5349 12.0111i 0.615687 0.641106i
\(352\) −6.34033 + 10.9818i −0.337941 + 0.585330i
\(353\) −14.7332 25.5186i −0.784169 1.35822i −0.929494 0.368836i \(-0.879756\pi\)
0.145326 0.989384i \(-0.453577\pi\)
\(354\) 11.7824 + 11.6246i 0.626229 + 0.617842i
\(355\) 5.42019 + 3.12935i 0.287674 + 0.166088i
\(356\) −3.00223 −0.159118
\(357\) 2.57542 3.11469i 0.136306 0.164847i
\(358\) −2.86584 −0.151465
\(359\) −30.5228 17.6224i −1.61093 0.930073i −0.989154 0.146881i \(-0.953077\pi\)
−0.621779 0.783192i \(-0.713590\pi\)
\(360\) −4.89248 + 8.74419i −0.257856 + 0.460859i
\(361\) −7.08928 12.2790i −0.373120 0.646262i
\(362\) −17.9471 + 31.0852i −0.943277 + 1.63380i
\(363\) −1.46610 5.32764i −0.0769502 0.279628i
\(364\) −2.55098 28.9967i −0.133708 1.51984i
\(365\) 0.221728i 0.0116058i
\(366\) 48.2684 + 12.5854i 2.52303 + 0.657848i
\(367\) 30.1613 17.4136i 1.57441 0.908984i 0.578788 0.815478i \(-0.303526\pi\)
0.995619 0.0935065i \(-0.0298076\pi\)
\(368\) −6.00400 + 3.46641i −0.312980 + 0.180699i
\(369\) 0.345842 + 25.6506i 0.0180038 + 1.33532i
\(370\) 0.949718i 0.0493735i
\(371\) −1.73169 19.6839i −0.0899048 1.02194i
\(372\) 50.4853 13.8929i 2.61754 0.720314i
\(373\) −10.1371 + 17.5579i −0.524878 + 0.909115i 0.474702 + 0.880146i \(0.342556\pi\)
−0.999580 + 0.0289688i \(0.990778\pi\)
\(374\) 2.87239 + 4.97512i 0.148528 + 0.257257i
\(375\) 1.21646 1.23297i 0.0628178 0.0636705i
\(376\) 7.60641 + 4.39156i 0.392270 + 0.226477i
\(377\) −26.1283 −1.34568
\(378\) −31.6657 4.90984i −1.62871 0.252535i
\(379\) −9.07202 −0.465998 −0.232999 0.972477i \(-0.574854\pi\)
−0.232999 + 0.972477i \(0.574854\pi\)
\(380\) 6.52805 + 3.76897i 0.334882 + 0.193344i
\(381\) −8.50989 + 8.62540i −0.435975 + 0.441893i
\(382\) 16.9285 + 29.3210i 0.866137 + 1.50019i
\(383\) −13.8881 + 24.0549i −0.709648 + 1.22915i 0.255339 + 0.966851i \(0.417813\pi\)
−0.964988 + 0.262295i \(0.915521\pi\)
\(384\) 33.1686 9.12758i 1.69263 0.465790i
\(385\) −6.70256 3.12152i −0.341594 0.159087i
\(386\) 0.939675i 0.0478282i
\(387\) 0.00477499 + 0.354155i 0.000242727 + 0.0180027i
\(388\) −18.9446 + 10.9377i −0.961765 + 0.555275i
\(389\) −13.4945 + 7.79107i −0.684200 + 0.395023i −0.801436 0.598081i \(-0.795930\pi\)
0.117236 + 0.993104i \(0.462597\pi\)
\(390\) −12.5200 3.26443i −0.633975 0.165301i
\(391\) 6.65242i 0.336427i
\(392\) −17.8953 + 15.0454i −0.903850 + 0.759908i
\(393\) 4.54660 + 16.5218i 0.229345 + 0.833416i
\(394\) −13.6024 + 23.5600i −0.685279 + 1.18694i
\(395\) −1.56849 2.71671i −0.0789195 0.136693i
\(396\) 14.0531 25.1167i 0.706194 1.26216i
\(397\) −16.3596 9.44524i −0.821067 0.474043i 0.0297174 0.999558i \(-0.490539\pi\)
−0.850784 + 0.525515i \(0.823873\pi\)
\(398\) 43.3016 2.17051
\(399\) −1.67568 + 9.92182i −0.0838888 + 0.496712i
\(400\) 0.919111 0.0459555
\(401\) 18.0127 + 10.3996i 0.899511 + 0.519333i 0.877042 0.480415i \(-0.159514\pi\)
0.0224695 + 0.999748i \(0.492847\pi\)
\(402\) 4.61044 + 4.54870i 0.229948 + 0.226869i
\(403\) 14.1114 + 24.4417i 0.702941 + 1.21753i
\(404\) −18.2380 + 31.5891i −0.907373 + 1.57162i
\(405\) −4.28823 + 7.91272i −0.213084 + 0.393186i
\(406\) 28.8574 + 41.1704i 1.43217 + 2.04325i
\(407\) 1.13867i 0.0564416i
\(408\) 1.28724 4.93691i 0.0637277 0.244414i
\(409\) 24.9664 14.4143i 1.23451 0.712744i 0.266542 0.963823i \(-0.414119\pi\)
0.967966 + 0.251080i \(0.0807856\pi\)
\(410\) 17.2609 9.96559i 0.852455 0.492165i
\(411\) 5.50577 21.1162i 0.271579 1.04158i
\(412\) 3.44383i 0.169665i
\(413\) 10.8054 0.950602i 0.531697 0.0467761i
\(414\) −45.3187 + 26.9858i −2.22729 + 1.32628i
\(415\) −0.333446 + 0.577546i −0.0163682 + 0.0283506i
\(416\) 7.27114 + 12.5940i 0.356497 + 0.617471i
\(417\) 1.21832 + 1.20200i 0.0596612 + 0.0588622i
\(418\) −12.3867 7.15145i −0.605852 0.349789i
\(419\) −3.24500 −0.158528 −0.0792642 0.996854i \(-0.525257\pi\)
−0.0792642 + 0.996854i \(0.525257\pi\)
\(420\) 5.48718 + 14.7436i 0.267747 + 0.719416i
\(421\) 27.9322 1.36133 0.680665 0.732594i \(-0.261691\pi\)
0.680665 + 0.732594i \(0.261691\pi\)
\(422\) −14.0933 8.13675i −0.686050 0.396091i
\(423\) 6.88477 + 3.85211i 0.334749 + 0.187296i
\(424\) −12.4722 21.6026i −0.605706 1.04911i
\(425\) −0.440969 + 0.763780i −0.0213901 + 0.0370488i
\(426\) 6.70407 + 24.3618i 0.324813 + 1.18033i
\(427\) 26.7692 18.7632i 1.29545 0.908016i
\(428\) 43.8622i 2.12016i
\(429\) 15.0109 + 3.91389i 0.724732 + 0.188965i
\(430\) 0.238319 0.137594i 0.0114928 0.00663536i
\(431\) −33.1792 + 19.1560i −1.59819 + 0.922714i −0.606351 + 0.795197i \(0.707367\pi\)
−0.991836 + 0.127516i \(0.959299\pi\)
\(432\) −4.58717 + 1.32911i −0.220700 + 0.0639468i
\(433\) 28.9533i 1.39140i 0.718330 + 0.695702i \(0.244907\pi\)
−0.718330 + 0.695702i \(0.755093\pi\)
\(434\) 22.9275 49.2301i 1.10055 2.36312i
\(435\) 13.6148 3.74662i 0.652779 0.179637i
\(436\) 0.0313210 0.0542495i 0.00150000 0.00259808i
\(437\) 8.28134 + 14.3437i 0.396150 + 0.686153i
\(438\) 0.628690 0.637223i 0.0300400 0.0304477i
\(439\) −13.2197 7.63242i −0.630943 0.364275i 0.150174 0.988660i \(-0.452017\pi\)
−0.781117 + 0.624384i \(0.785350\pi\)
\(440\) −9.33379 −0.444971
\(441\) −15.8902 + 13.7295i −0.756678 + 0.653787i
\(442\) 6.58816 0.313367
\(443\) −1.97776 1.14186i −0.0939660 0.0542513i 0.452281 0.891876i \(-0.350611\pi\)
−0.546247 + 0.837624i \(0.683944\pi\)
\(444\) 1.70153 1.72463i 0.0807512 0.0818472i
\(445\) 0.437271 + 0.757376i 0.0207286 + 0.0359030i
\(446\) 1.68514 2.91875i 0.0797937 0.138207i
\(447\) −29.6198 + 8.15099i −1.40097 + 0.385528i
\(448\) 13.8670 29.7754i 0.655155 1.40676i
\(449\) 10.3113i 0.486619i −0.969949 0.243310i \(-0.921767\pi\)
0.969949 0.243310i \(-0.0782331\pi\)
\(450\) 6.99195 0.0942709i 0.329604 0.00444398i
\(451\) −20.6950 + 11.9483i −0.974489 + 0.562621i
\(452\) −21.4956 + 12.4105i −1.01107 + 0.583739i
\(453\) −37.7116 9.83281i −1.77184 0.461986i
\(454\) 2.48732i 0.116736i
\(455\) −6.94346 + 4.86686i −0.325515 + 0.228162i
\(456\) 3.37028 + 12.2472i 0.157828 + 0.573529i
\(457\) −16.3987 + 28.4033i −0.767097 + 1.32865i 0.172033 + 0.985091i \(0.444966\pi\)
−0.939131 + 0.343560i \(0.888367\pi\)
\(458\) 8.85564 + 15.3384i 0.413797 + 0.716718i
\(459\) 1.09633 4.44961i 0.0511724 0.207690i
\(460\) 22.4252 + 12.9472i 1.04558 + 0.603666i
\(461\) 16.5678 0.771637 0.385819 0.922575i \(-0.373919\pi\)
0.385819 + 0.922575i \(0.373919\pi\)
\(462\) −10.4117 27.9754i −0.484395 1.30153i
\(463\) −36.5866 −1.70032 −0.850162 0.526522i \(-0.823496\pi\)
−0.850162 + 0.526522i \(0.823496\pi\)
\(464\) 6.48933 + 3.74662i 0.301260 + 0.173932i
\(465\) −10.8579 10.7125i −0.503522 0.496779i
\(466\) −20.9774 36.3339i −0.971758 1.68313i
\(467\) 20.5550 35.6023i 0.951171 1.64748i 0.208275 0.978070i \(-0.433215\pi\)
0.742896 0.669406i \(-0.233451\pi\)
\(468\) −16.8869 28.3591i −0.780598 1.31090i
\(469\) 4.22812 0.371969i 0.195236 0.0171759i
\(470\) 6.12952i 0.282733i
\(471\) 5.19680 19.9312i 0.239456 0.918380i
\(472\) 11.8586 6.84658i 0.545837 0.315139i
\(473\) −0.285733 + 0.164968i −0.0131380 + 0.00758524i
\(474\) 3.19529 12.2548i 0.146765 0.562884i
\(475\) 2.19578i 0.100749i
\(476\) −4.59771 6.55947i −0.210736 0.300653i
\(477\) −11.4634 19.2510i −0.524872 0.881444i
\(478\) 34.8250 60.3186i 1.59286 2.75891i
\(479\) −8.25944 14.3058i −0.377383 0.653647i 0.613297 0.789852i \(-0.289843\pi\)
−0.990681 + 0.136205i \(0.956509\pi\)
\(480\) −5.59470 5.51978i −0.255362 0.251942i
\(481\) 1.13088 + 0.652916i 0.0515639 + 0.0297704i
\(482\) −12.2127 −0.556274
\(483\) −5.75630 + 34.0835i −0.261921 + 1.55085i
\(484\) −10.9519 −0.497813
\(485\) 5.51850 + 3.18611i 0.250582 + 0.144674i
\(486\) −34.7597 + 10.5814i −1.57673 + 0.479984i
\(487\) 1.01601 + 1.75977i 0.0460396 + 0.0797430i 0.888127 0.459598i \(-0.152007\pi\)
−0.842087 + 0.539341i \(0.818673\pi\)
\(488\) 20.6337 35.7386i 0.934044 1.61781i
\(489\) −3.91688 14.2335i −0.177127 0.643661i
\(490\) 15.3374 + 5.56561i 0.692875 + 0.251429i
\(491\) 5.97889i 0.269824i −0.990858 0.134912i \(-0.956925\pi\)
0.990858 0.134912i \(-0.0430751\pi\)
\(492\) 49.1992 + 12.8281i 2.21807 + 0.578334i
\(493\) −6.22687 + 3.59509i −0.280444 + 0.161915i
\(494\) −14.2051 + 8.20134i −0.639120 + 0.368996i
\(495\) −8.38301 + 0.113026i −0.376788 + 0.00508016i
\(496\) 8.09393i 0.363428i
\(497\) 15.0109 + 6.99087i 0.673330 + 0.313583i
\(498\) −2.59587 + 0.714349i −0.116323 + 0.0320108i
\(499\) −4.24155 + 7.34658i −0.189878 + 0.328878i −0.945209 0.326465i \(-0.894143\pi\)
0.755331 + 0.655343i \(0.227476\pi\)
\(500\) −1.71646 2.97300i −0.0767625 0.132957i
\(501\) −4.34183 + 4.40077i −0.193979 + 0.196612i
\(502\) 30.4332 + 17.5706i 1.35830 + 0.784216i
\(503\) 17.0296 0.759312 0.379656 0.925128i \(-0.376042\pi\)
0.379656 + 0.925128i \(0.376042\pi\)
\(504\) −10.8670 + 24.1803i −0.484055 + 1.07708i
\(505\) 10.6253 0.472821
\(506\) −42.5508 24.5667i −1.89161 1.09212i
\(507\) −3.31955 + 3.36461i −0.147426 + 0.149427i
\(508\) 12.0077 + 20.7979i 0.532755 + 0.922759i
\(509\) 6.43409 11.1442i 0.285186 0.493956i −0.687468 0.726214i \(-0.741278\pi\)
0.972654 + 0.232258i \(0.0746113\pi\)
\(510\) −3.43292 + 0.944697i −0.152012 + 0.0418319i
\(511\) −0.0514110 0.584381i −0.00227429 0.0258515i
\(512\) 10.3101i 0.455646i
\(513\) 3.17528 + 10.9589i 0.140192 + 0.483846i
\(514\) −32.1148 + 18.5415i −1.41652 + 0.817831i
\(515\) −0.868777 + 0.501589i −0.0382829 + 0.0221026i
\(516\) 0.679288 + 0.177116i 0.0299040 + 0.00779708i
\(517\) 7.34899i 0.323208i
\(518\) −0.220206 2.50305i −0.00967530 0.109978i
\(519\) −3.92565 14.2654i −0.172317 0.626181i
\(520\) −5.35203 + 9.26999i −0.234702 + 0.406516i
\(521\) −8.32724 14.4232i −0.364823 0.631892i 0.623925 0.781485i \(-0.285537\pi\)
−0.988748 + 0.149592i \(0.952204\pi\)
\(522\) 49.7506 + 27.8361i 2.17752 + 1.21835i
\(523\) 31.4934 + 18.1827i 1.37711 + 0.795075i 0.991811 0.127716i \(-0.0407646\pi\)
0.385300 + 0.922791i \(0.374098\pi\)
\(524\) 33.9635 1.48370
\(525\) 2.92019 3.53164i 0.127447 0.154134i
\(526\) −19.3549 −0.843912
\(527\) 6.72605 + 3.88329i 0.292991 + 0.169159i
\(528\) −3.16694 3.12453i −0.137823 0.135978i
\(529\) 16.9482 + 29.3551i 0.736876 + 1.27631i
\(530\) −8.70407 + 15.0759i −0.378080 + 0.654855i
\(531\) 10.5678 6.29276i 0.458602 0.273083i
\(532\) 18.0790 + 8.41977i 0.783826 + 0.365043i
\(533\) 27.4047i 1.18703i
\(534\) −0.890797 + 3.41645i −0.0385485 + 0.147844i
\(535\) −11.0651 + 6.38846i −0.478388 + 0.276197i
\(536\) 4.64026 2.67906i 0.200429 0.115718i
\(537\) −0.537300 + 2.06070i −0.0231862 + 0.0889256i
\(538\) 40.5268i 1.74724i
\(539\) −18.3889 6.67290i −0.792064 0.287422i
\(540\) 12.8658 + 12.3557i 0.553658 + 0.531706i
\(541\) −1.89575 + 3.28353i −0.0815046 + 0.141170i −0.903896 0.427751i \(-0.859306\pi\)
0.822392 + 0.568922i \(0.192639\pi\)
\(542\) 11.8775 + 20.5725i 0.510184 + 0.883665i
\(543\) 18.9872 + 18.7329i 0.814818 + 0.803906i
\(544\) 3.46571 + 2.00093i 0.148591 + 0.0857890i
\(545\) −0.0182474 −0.000781633
\(546\) −33.7543 5.70069i −1.44455 0.243967i
\(547\) −10.9382 −0.467684 −0.233842 0.972275i \(-0.575130\pi\)
−0.233842 + 0.972275i \(0.575130\pi\)
\(548\) −37.4568 21.6257i −1.60008 0.923805i
\(549\) 18.0991 32.3480i 0.772452 1.38058i
\(550\) 3.25691 + 5.64113i 0.138875 + 0.240538i
\(551\) 8.95077 15.5032i 0.381316 0.660458i
\(552\) 11.5776 + 42.0718i 0.492776 + 1.79069i
\(553\) −4.76379 6.79641i −0.202577 0.289013i
\(554\) 22.2839i 0.946752i
\(555\) −0.682899 0.178057i −0.0289874 0.00755810i
\(556\) 2.93766 1.69606i 0.124584 0.0719288i
\(557\) 8.42853 4.86622i 0.357128 0.206188i −0.310692 0.950511i \(-0.600561\pi\)
0.667820 + 0.744322i \(0.267227\pi\)
\(558\) −0.830175 61.5730i −0.0351441 2.60659i
\(559\) 0.378374i 0.0160035i
\(560\) 2.42238 0.213109i 0.102364 0.00900551i
\(561\) 4.11591 1.13265i 0.173774 0.0478203i
\(562\) −13.8965 + 24.0694i −0.586187 + 1.01531i
\(563\) 0.235135 + 0.407265i 0.00990975 + 0.0171642i 0.870938 0.491393i \(-0.163512\pi\)
−0.861028 + 0.508558i \(0.830179\pi\)
\(564\) 10.9818 11.1308i 0.462415 0.468692i
\(565\) 6.26159 + 3.61513i 0.263427 + 0.152090i
\(566\) −46.5459 −1.95647
\(567\) −9.46725 + 21.8488i −0.397587 + 0.917564i
\(568\) 20.9037 0.877100
\(569\) −5.38387 3.10838i −0.225703 0.130310i 0.382885 0.923796i \(-0.374931\pi\)
−0.608588 + 0.793486i \(0.708264\pi\)
\(570\) 6.22592 6.31043i 0.260775 0.264315i
\(571\) −5.31121 9.19928i −0.222267 0.384978i 0.733229 0.679982i \(-0.238012\pi\)
−0.955496 + 0.295004i \(0.904679\pi\)
\(572\) 15.3731 26.6270i 0.642782 1.11333i
\(573\) 24.2572 6.67528i 1.01336 0.278864i
\(574\) 43.1817 30.2672i 1.80237 1.26333i
\(575\) 7.54296i 0.314563i
\(576\) −0.502107 37.2406i −0.0209211 1.55169i
\(577\) −2.56914 + 1.48330i −0.106955 + 0.0617504i −0.552523 0.833497i \(-0.686335\pi\)
0.445568 + 0.895248i \(0.353002\pi\)
\(578\) −32.7459 + 18.9058i −1.36205 + 0.786380i
\(579\) −0.675677 0.176174i −0.0280802 0.00732155i
\(580\) 27.9876i 1.16212i
\(581\) −0.744909 + 1.59948i −0.0309040 + 0.0663576i
\(582\) 6.82566 + 24.8037i 0.282933 + 1.02815i
\(583\) 10.4358 18.0753i 0.432205 0.748601i
\(584\) −0.370280 0.641344i −0.0153223 0.0265390i
\(585\) −4.69460 + 8.39053i −0.194098 + 0.346906i
\(586\) −6.07641 3.50821i −0.251014 0.144923i
\(587\) 18.8819 0.779341 0.389670 0.920954i \(-0.372589\pi\)
0.389670 + 0.920954i \(0.372589\pi\)
\(588\) 17.8804 + 37.5856i 0.737375 + 1.55001i
\(589\) −19.3366 −0.796751
\(590\) −8.27583 4.77805i −0.340711 0.196709i
\(591\) 14.3907 + 14.1980i 0.591955 + 0.584027i
\(592\) −0.187247 0.324322i −0.00769582 0.0133296i
\(593\) 15.1472 26.2357i 0.622020 1.07737i −0.367088 0.930186i \(-0.619645\pi\)
0.989109 0.147185i \(-0.0470213\pi\)
\(594\) −24.4123 23.4444i −1.00165 0.961936i
\(595\) −0.985111 + 2.11524i −0.0403856 + 0.0867165i
\(596\) 60.8887i 2.49410i
\(597\) 8.11836 31.1362i 0.332262 1.27432i
\(598\) −48.7976 + 28.1733i −1.99548 + 1.15209i
\(599\) 6.29024 3.63167i 0.257012 0.148386i −0.365959 0.930631i \(-0.619259\pi\)
0.622971 + 0.782245i \(0.285925\pi\)
\(600\) 1.45956 5.59780i 0.0595861 0.228529i
\(601\) 45.3302i 1.84906i −0.381110 0.924530i \(-0.624458\pi\)
0.381110 0.924530i \(-0.375542\pi\)
\(602\) 0.596204 0.417896i 0.0242995 0.0170322i
\(603\) 4.13515 2.46235i 0.168396 0.100275i
\(604\) −38.6216 + 66.8946i −1.57149 + 2.72190i
\(605\) 1.59513 + 2.76284i 0.0648511 + 0.112325i
\(606\) 30.5360 + 30.1271i 1.24044 + 1.22383i
\(607\) 22.5370 + 13.0117i 0.914748 + 0.528130i 0.881956 0.471332i \(-0.156227\pi\)
0.0327925 + 0.999462i \(0.489560\pi\)
\(608\) −9.96351 −0.404073
\(609\) 35.0141 13.0313i 1.41884 0.528054i
\(610\) −28.7995 −1.16606
\(611\) 7.29877 + 4.21394i 0.295276 + 0.170478i
\(612\) −7.92651 4.43498i −0.320410 0.179273i
\(613\) −12.8525 22.2611i −0.519106 0.899118i −0.999753 0.0222040i \(-0.992932\pi\)
0.480648 0.876914i \(-0.340402\pi\)
\(614\) −23.7507 + 41.1375i −0.958502 + 1.66017i
\(615\) −3.92965 14.2799i −0.158459 0.575822i
\(616\) −24.5999 + 2.16417i −0.991157 + 0.0871971i
\(617\) 8.88258i 0.357599i −0.983886 0.178800i \(-0.942779\pi\)
0.983886 0.178800i \(-0.0572213\pi\)
\(618\) −3.91898 1.02182i −0.157644 0.0411037i
\(619\) −26.4112 + 15.2485i −1.06156 + 0.612890i −0.925863 0.377861i \(-0.876660\pi\)
−0.135694 + 0.990751i \(0.543327\pi\)
\(620\) −26.1810 + 15.1156i −1.05145 + 0.607057i
\(621\) 10.9077 + 37.6460i 0.437713 + 1.51068i
\(622\) 63.5669i 2.54880i
\(623\) 1.32807 + 1.89473i 0.0532079 + 0.0759108i
\(624\) −4.91911 + 1.35368i −0.196922 + 0.0541904i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) −0.735048 1.27314i −0.0293784 0.0508849i
\(627\) −7.46458 + 7.56590i −0.298107 + 0.302153i
\(628\) −35.3549 20.4121i −1.41081 0.814533i
\(629\) 0.359349 0.0143282
\(630\) 18.4059 1.86964i 0.733310 0.0744884i
\(631\) 44.3335 1.76489 0.882445 0.470416i \(-0.155896\pi\)
0.882445 + 0.470416i \(0.155896\pi\)
\(632\) −9.07367 5.23868i −0.360931 0.208384i
\(633\) −8.49303 + 8.60831i −0.337568 + 0.342150i
\(634\) −29.6372 51.3332i −1.17705 2.03870i
\(635\) 3.49781 6.05838i 0.138806 0.240419i
\(636\) −42.8163 + 11.7825i −1.69778 + 0.467206i
\(637\) −17.1715 + 14.4369i −0.680361 + 0.572011i
\(638\) 53.1052i 2.10245i
\(639\) 18.7744 0.253131i 0.742703 0.0100137i
\(640\) −17.2008 + 9.93088i −0.679921 + 0.392553i
\(641\) 6.03197 3.48256i 0.238249 0.137553i −0.376123 0.926570i \(-0.622743\pi\)
0.614371 + 0.789017i \(0.289410\pi\)
\(642\) −49.9139 13.0144i −1.96994 0.513637i
\(643\) 25.8907i 1.02103i 0.859869 + 0.510514i \(0.170545\pi\)
−0.859869 + 0.510514i \(0.829455\pi\)
\(644\) 62.1053 + 28.9237i 2.44729 + 1.13975i
\(645\) −0.0542562 0.197161i −0.00213634 0.00776321i
\(646\) −2.25691 + 3.90908i −0.0887968 + 0.153801i
\(647\) 5.01859 + 8.69245i 0.197301 + 0.341735i 0.947652 0.319304i \(-0.103449\pi\)
−0.750351 + 0.661039i \(0.770116\pi\)
\(648\) 0.810424 + 30.0486i 0.0318365 + 1.18042i
\(649\) 9.92232 + 5.72866i 0.389485 + 0.224869i
\(650\) 7.47010 0.293001
\(651\) −31.1006 25.7159i −1.21893 1.00789i
\(652\) −29.2594 −1.14589
\(653\) 34.2946 + 19.8000i 1.34205 + 0.774833i 0.987108 0.160055i \(-0.0511671\pi\)
0.354942 + 0.934888i \(0.384500\pi\)
\(654\) −0.0524410 0.0517388i −0.00205061 0.00202315i
\(655\) −4.94673 8.56799i −0.193285 0.334779i
\(656\) 3.92965 6.80635i 0.153427 0.265744i
\(657\) −0.340329 0.571531i −0.0132775 0.0222975i
\(658\) −1.42122 16.1548i −0.0554048 0.629779i
\(659\) 17.9364i 0.698705i −0.936991 0.349352i \(-0.886402\pi\)
0.936991 0.349352i \(-0.113598\pi\)
\(660\) −4.19241 + 16.0791i −0.163189 + 0.625877i
\(661\) −3.31012 + 1.91110i −0.128749 + 0.0743332i −0.562991 0.826463i \(-0.690350\pi\)
0.434242 + 0.900796i \(0.357016\pi\)
\(662\) 23.2003 13.3947i 0.901705 0.520599i
\(663\) 1.23517 4.73724i 0.0479702 0.183979i
\(664\) 2.22739i 0.0864393i
\(665\) −0.509124 5.78714i −0.0197430 0.224416i
\(666\) −1.45771 2.44801i −0.0564852 0.0948585i
\(667\) 30.7478 53.2567i 1.19056 2.06211i
\(668\) 6.12645 + 10.6113i 0.237039 + 0.410564i
\(669\) −1.78280 1.75893i −0.0689271 0.0680040i
\(670\) −3.23832 1.86964i −0.125107 0.0722307i
\(671\) 34.5292 1.33299
\(672\) −16.0251 13.2506i −0.618181 0.511151i
\(673\) 1.08304 0.0417483 0.0208741 0.999782i \(-0.493355\pi\)
0.0208741 + 0.999782i \(0.493355\pi\)
\(674\) 32.7094 + 18.8848i 1.25992 + 0.727415i
\(675\) 1.24309 5.04527i 0.0478467 0.194192i
\(676\) 4.68398 + 8.11288i 0.180153 + 0.312034i
\(677\) −15.5014 + 26.8492i −0.595766 + 1.03190i 0.397672 + 0.917528i \(0.369818\pi\)
−0.993438 + 0.114370i \(0.963515\pi\)
\(678\) 7.74478 + 28.1436i 0.297436 + 1.08085i
\(679\) 15.2831 + 7.11767i 0.586513 + 0.273151i
\(680\) 2.94562i 0.112960i
\(681\) 1.78852 + 0.466333i 0.0685362 + 0.0178699i
\(682\) 49.6772 28.6812i 1.90224 1.09826i
\(683\) −16.5419 + 9.55050i −0.632960 + 0.365440i −0.781898 0.623407i \(-0.785748\pi\)
0.148937 + 0.988847i \(0.452415\pi\)
\(684\) 22.6118 0.304869i 0.864583 0.0116570i
\(685\) 12.5990i 0.481383i
\(686\) 41.7134 + 11.1124i 1.59263 + 0.424272i
\(687\) 12.6894 3.49198i 0.484133 0.133227i
\(688\) 0.0542562 0.0939745i 0.00206850 0.00358275i
\(689\) −11.9678 20.7289i −0.455937 0.789707i
\(690\) 21.3874 21.6777i 0.814203 0.825254i
\(691\) −14.5775 8.41632i −0.554554 0.320172i 0.196403 0.980523i \(-0.437074\pi\)
−0.750957 + 0.660351i \(0.770407\pi\)
\(692\) −29.3250 −1.11477
\(693\) −22.0678 + 2.24161i −0.838288 + 0.0851519i
\(694\) 41.9145 1.59105
\(695\) −0.855731 0.494056i −0.0324597 0.0187406i
\(696\) 33.1237 33.5733i 1.25555 1.27259i
\(697\) 3.77072 + 6.53107i 0.142826 + 0.247382i
\(698\) −7.17232 + 12.4228i −0.271476 + 0.470211i
\(699\) −30.0589 + 8.27184i −1.13693 + 0.312870i
\(700\) −5.21319 7.43756i −0.197040 0.281113i
\(701\) 21.8878i 0.826691i −0.910574 0.413345i \(-0.864360\pi\)
0.910574 0.413345i \(-0.135640\pi\)
\(702\) −37.2823 + 10.8024i −1.40713 + 0.407709i
\(703\) −0.774814 + 0.447339i −0.0292227 + 0.0168717i
\(704\) 30.0458 17.3470i 1.13240 0.653789i
\(705\) −4.40745 1.14919i −0.165994 0.0432809i
\(706\) 68.6821i 2.58489i
\(707\) 28.0038 2.46364i 1.05319 0.0926547i
\(708\) −6.46794 23.5038i −0.243080 0.883326i
\(709\) 5.41030 9.37091i 0.203188 0.351932i −0.746366 0.665536i \(-0.768203\pi\)
0.949554 + 0.313604i \(0.101536\pi\)
\(710\) −7.29408 12.6337i −0.273742 0.474135i
\(711\) −8.21283 4.59518i −0.308005 0.172333i
\(712\) 2.52959 + 1.46046i 0.0948005 + 0.0547331i
\(713\) −66.4253 −2.48765
\(714\) −8.82867 + 3.28579i −0.330405 + 0.122968i
\(715\) −8.95628 −0.334946
\(716\) 3.65536 + 2.11042i 0.136607 + 0.0788703i
\(717\) −36.8432 36.3498i −1.37593 1.35751i
\(718\) 41.0753 + 71.1445i 1.53292 + 2.65509i
\(719\) 11.1296 19.2770i 0.415064 0.718912i −0.580371 0.814352i \(-0.697093\pi\)
0.995435 + 0.0954404i \(0.0304259\pi\)
\(720\) 2.36912 1.41073i 0.0882917 0.0525749i
\(721\) −2.17342 + 1.52341i −0.0809425 + 0.0567348i
\(722\) 33.0483i 1.22993i
\(723\) −2.28969 + 8.78160i −0.0851545 + 0.326591i
\(724\) 45.7827 26.4327i 1.70150 0.982362i
\(725\) −7.06045 + 4.07635i −0.262218 + 0.151392i
\(726\) −3.24955 + 12.4629i −0.120602 + 0.462543i
\(727\) 43.7899i 1.62408i 0.583604 + 0.812038i \(0.301642\pi\)
−0.583604 + 0.812038i \(0.698358\pi\)
\(728\) −11.9563 + 25.6727i −0.443129 + 0.951493i
\(729\) 1.09174 + 26.9779i 0.0404349 + 0.999182i
\(730\) −0.258409 + 0.447578i −0.00956415 + 0.0165656i
\(731\) 0.0520618 + 0.0901738i 0.00192558 + 0.00333520i
\(732\) −52.2981 51.5977i −1.93299 1.90711i
\(733\) 22.6647 + 13.0854i 0.837138 + 0.483322i 0.856290 0.516495i \(-0.172763\pi\)
−0.0191524 + 0.999817i \(0.506097\pi\)
\(734\) −81.1776 −2.99632
\(735\) 6.87750 9.98499i 0.253680 0.368302i
\(736\) −34.2267 −1.26161
\(737\) 3.88259 + 2.24161i 0.143017 + 0.0825709i
\(738\) 29.1959 52.1811i 1.07472 1.92081i
\(739\) −20.1777 34.9489i −0.742250 1.28561i −0.951469 0.307746i \(-0.900425\pi\)
0.209219 0.977869i \(-0.432908\pi\)
\(740\) −0.699378 + 1.21136i −0.0257096 + 0.0445304i
\(741\) 3.23397 + 11.7519i 0.118803 + 0.431716i
\(742\) −19.4446 + 41.7517i −0.713835 + 1.53275i
\(743\) 8.82565i 0.323782i −0.986809 0.161891i \(-0.948241\pi\)
0.986809 0.161891i \(-0.0517593\pi\)
\(744\) −49.2957 12.8532i −1.80727 0.471222i
\(745\) 15.3604 8.86834i 0.562762 0.324911i
\(746\) 40.9251 23.6281i 1.49838 0.865087i
\(747\) 0.0269722 + 2.00050i 0.000986863 + 0.0731943i
\(748\) 8.46097i 0.309364i
\(749\) −27.6817 + 19.4029i −1.01147 + 0.708965i
\(750\) −3.89248 + 1.07116i −0.142133 + 0.0391133i
\(751\) −18.9165 + 32.7644i −0.690274 + 1.19559i 0.281475 + 0.959569i \(0.409176\pi\)
−0.971748 + 0.236020i \(0.924157\pi\)
\(752\) −1.20850 2.09319i −0.0440695 0.0763307i
\(753\) 18.3400 18.5889i 0.668346 0.677418i
\(754\) 52.7422 + 30.4507i 1.92076 + 1.10895i
\(755\) 22.5007 0.818885
\(756\) 36.7737 + 29.5813i 1.33745 + 1.07586i
\(757\) −34.7636 −1.26351 −0.631753 0.775170i \(-0.717664\pi\)
−0.631753 + 0.775170i \(0.717664\pi\)
\(758\) 18.3127 + 10.5728i 0.665146 + 0.384022i
\(759\) −25.6424 + 25.9905i −0.930760 + 0.943394i
\(760\) −3.66689 6.35124i −0.133012 0.230384i
\(761\) −0.915074 + 1.58495i −0.0331714 + 0.0574545i −0.882135 0.470998i \(-0.843894\pi\)
0.848963 + 0.528452i \(0.177227\pi\)
\(762\) 27.2303 7.49342i 0.986448 0.271458i
\(763\) −0.0480923 + 0.00423093i −0.00174106 + 0.000153170i
\(764\) 49.8649i 1.80405i
\(765\) 0.0356697 + 2.64557i 0.00128964 + 0.0956509i
\(766\) 56.0686 32.3712i 2.02584 1.16962i
\(767\) 11.3790 6.56967i 0.410872 0.237217i
\(768\) −35.9769 9.38051i −1.29820 0.338490i
\(769\) 23.5601i 0.849598i 0.905288 + 0.424799i \(0.139655\pi\)
−0.905288 + 0.424799i \(0.860345\pi\)
\(770\) 9.89179 + 14.1124i 0.356475 + 0.508577i
\(771\) 7.31132 + 26.5685i 0.263311 + 0.956842i
\(772\) −0.691982 + 1.19855i −0.0249050 + 0.0431367i
\(773\) −24.0437 41.6448i −0.864790 1.49786i −0.867255 0.497864i \(-0.834118\pi\)
0.00246461 0.999997i