Properties

Label 105.2.s.c.101.1
Level 105
Weight 2
Character 105.101
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 101.1
Root \(2.33086i\)
Character \(\chi\) = 105.101
Dual form 105.2.s.c.26.1

$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

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

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 −0.996912 0.0785324i \(-0.974977\pi\)
−0.430445 + 0.902617i \(0.641643\pi\)
\(3\) −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 0.818318 0.574766i \(-0.194907\pi\)
−0.0886035 + 0.996067i \(0.528240\pi\)
\(12\) −5.75363 + 1.50019i −1.66093 + 0.433066i
\(13\) 3.20486i 0.888869i 0.895811 + 0.444434i \(0.146595\pi\)
−0.895811 + 0.444434i \(0.853405\pi\)
\(14\) −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 −0.914533 0.404510i \(-0.867442\pi\)
0.807583 + 0.589754i \(0.200775\pi\)
\(18\) −3.41434 6.10234i −0.804767 1.43834i
\(19\) 1.90160 1.09789i 0.436257 0.251873i −0.265751 0.964042i \(-0.585620\pi\)
0.702009 + 0.712168i \(0.252287\pi\)
\(20\) 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 0.372196 0.928154i \(-0.378605\pi\)
0.989903 + 0.141746i \(0.0452716\pi\)
\(24\) 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 \(0.273316\pi\)
−0.653462 + 0.756959i \(0.726684\pi\)
\(30\) 1.01859 + 3.90656i 0.185968 + 0.713238i
\(31\) −7.62645 4.40313i −1.36975 0.790826i −0.378855 0.925456i \(-0.623682\pi\)
−0.990896 + 0.134630i \(0.957015\pi\)
\(32\) −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 0.848793 0.528725i \(-0.177330\pi\)
−0.882286 + 0.470714i \(0.843996\pi\)
\(38\) −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 0.754052 0.656815i \(-0.228097\pi\)
−0.945844 + 0.324621i \(0.894763\pi\)
\(48\) −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 0.873432 0.486946i \(-0.161889\pi\)
0.0150081 + 0.999887i \(0.495223\pi\)
\(54\) −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 −0.701178 0.712986i \(-0.747342\pi\)
0.968053 + 0.250745i \(0.0806755\pi\)
\(60\) −4.17602 4.23270i −0.539121 0.546439i
\(61\) 10.7004 6.17786i 1.37004 0.790994i 0.379109 0.925352i \(-0.376231\pi\)
0.990933 + 0.134358i \(0.0428972\pi\)
\(62\) 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 −0.812860 0.582460i \(-0.802090\pi\)
0.910855 + 0.412727i \(0.135424\pi\)
\(68\) 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 \(-0.878883\pi\)
0.928479 0.371385i \(-0.121117\pi\)
\(72\) −10.0189 0.135083i −1.18074 0.0159197i
\(73\) 0.192022 + 0.110864i 0.0224745 + 0.0129757i 0.511195 0.859465i \(-0.329203\pi\)
−0.488721 + 0.872440i \(0.662536\pi\)
\(74\) 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 0.940669 0.339326i \(-0.110199\pi\)
−0.764199 + 0.644980i \(0.776866\pi\)
\(80\) 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 0.841919 0.539603i \(-0.181426\pi\)
−0.888270 + 0.459322i \(0.848092\pi\)
\(90\) 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 \(-0.895140\pi\)
0.946228 0.323500i \(-0.104860\pi\)
\(98\) 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 −0.470813 0.882233i \(-0.656039\pi\)
0.999443 0.0333808i \(-0.0106274\pi\)
\(102\) −2.53459 + 2.50065i −0.250962 + 0.247601i
\(103\) −0.868777 + 0.501589i −0.0856031 + 0.0494230i −0.542191 0.840256i \(-0.682405\pi\)
0.456587 + 0.889679i \(0.349072\pi\)
\(104\) −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 −0.928101 0.372328i \(-0.878560\pi\)
−0.141606 + 0.989923i \(0.545226\pi\)
\(108\) −4.26745 17.3200i −0.410635 1.66662i
\(109\) −0.00912370 + 0.0158027i −0.000873892 + 0.00151363i −0.866462 0.499243i \(-0.833612\pi\)
0.865588 + 0.500757i \(0.166945\pi\)
\(110\) −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 \(-0.889545\pi\)
0.940395 0.340083i \(-0.110455\pi\)
\(114\) 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 0.997062 0.0765948i \(-0.0244048\pi\)
−0.564864 + 0.825184i \(0.691071\pi\)
\(132\) −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 −0.0446900 0.999001i \(-0.514230\pi\)
−0.887505 + 0.460798i \(0.847563\pi\)
\(138\) 29.4671 7.68316i 2.50840 0.654034i
\(139\) 0.988113i 0.0838106i 0.999122 + 0.0419053i \(0.0133428\pi\)
−0.999122 + 0.0419053i \(0.986657\pi\)
\(140\) 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 0.285616 0.958344i \(-0.407802\pi\)
0.972758 + 0.231821i \(0.0744684\pi\)
\(150\) −2.87389 + 2.83540i −0.234652 + 0.231510i
\(151\) 11.2504 19.4862i 0.915542 1.58576i 0.109435 0.993994i \(-0.465096\pi\)
0.806106 0.591771i \(-0.201571\pi\)
\(152\) 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 0.0291509 0.999575i \(-0.490720\pi\)
−0.851082 + 0.525033i \(0.824053\pi\)
\(158\) −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 0.649459 0.760397i \(-0.274996\pi\)
−0.983252 + 0.182249i \(0.941662\pi\)
\(164\) −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 0.656728 0.754127i \(-0.271940\pi\)
−0.981457 + 0.191680i \(0.938606\pi\)
\(174\) −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 0.539265 0.842136i \(-0.318702\pi\)
−0.459679 + 0.888085i \(0.652035\pi\)
\(180\) −0.138843 + 10.2978i −0.0103488 + 0.767555i
\(181\) 15.3995i 1.14464i 0.820032 + 0.572318i \(0.193956\pi\)
−0.820032 + 0.572318i \(0.806044\pi\)
\(182\) 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 −0.880501 0.474044i \(-0.842794\pi\)
−0.0297166 + 0.999558i \(0.509460\pi\)
\(192\) −15.1020 15.3070i −1.08989 1.10468i
\(193\) 0.201572 0.349134i 0.0145095 0.0251312i −0.858679 0.512513i \(-0.828715\pi\)
0.873189 + 0.487382i \(0.162048\pi\)
\(194\) 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 \(0.136492\pi\)
−0.909464 + 0.415782i \(0.863508\pi\)
\(198\) 0.263449 19.5397i 0.0187225 1.38862i
\(199\) −16.0886 9.28875i −1.14049 0.658462i −0.193938 0.981014i \(-0.562126\pi\)
−0.946552 + 0.322552i \(0.895459\pi\)
\(200\) −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 \(-0.984583\pi\)
0.998827 0.0484135i \(-0.0154165\pi\)
\(224\) 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 −0.883189 0.469017i \(-0.844608\pi\)
0.847775 + 0.530356i \(0.177942\pi\)
\(228\) −9.29408 + 9.16961i −0.615515 + 0.607272i
\(229\) −6.58058 + 3.79930i −0.434857 + 0.251065i −0.701414 0.712755i \(-0.747447\pi\)
0.266557 + 0.963819i \(0.414114\pi\)
\(230\) −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 0.106759 0.994285i \(-0.465953\pi\)
0.914455 + 0.404687i \(0.132619\pi\)
\(234\) 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 \(-0.582698\pi\)
0.256892 0.966440i \(-0.417302\pi\)
\(240\) −1.54044 + 0.401651i −0.0994353 + 0.0259265i
\(241\) 4.53760 + 2.61978i 0.292292 + 0.168755i 0.638975 0.769227i \(-0.279359\pi\)
−0.346683 + 0.937982i \(0.612692\pi\)
\(242\) 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 0.999990 0.00437591i \(-0.00139290\pi\)
−0.503785 + 0.863829i \(0.668060\pi\)
\(258\) −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 0.705052 0.709156i \(-0.250924\pi\)
−0.261621 + 0.965171i \(0.584257\pi\)
\(264\) 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 −0.469332 0.883022i \(-0.655505\pi\)
0.999385 0.0350578i \(-0.0111615\pi\)
\(270\) −11.7598 + 2.89748i −0.715680 + 0.176335i
\(271\) −8.82614 + 5.09577i −0.536150 + 0.309546i −0.743517 0.668717i \(-0.766844\pi\)
0.207367 + 0.978263i \(0.433510\pi\)
\(272\) 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 −0.973143 0.230199i \(-0.926062\pi\)
0.685930 + 0.727667i \(0.259395\pi\)
\(278\) −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 \(0.115744\pi\)
−0.934616 + 0.355660i \(0.884256\pi\)
\(282\) −2.67860 10.2732i −0.159508 0.611758i
\(283\) 17.2940 + 9.98469i 1.02802 + 0.593528i 0.916417 0.400225i \(-0.131068\pi\)
0.111604 + 0.993753i \(0.464401\pi\)
\(284\) −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 \(0.197556\pi\)
−0.813507 + 0.581556i \(0.802444\pi\)
\(308\) 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 −0.162567 0.986697i \(-0.551977\pi\)
0.935789 0.352562i \(-0.114689\pi\)
\(312\) 13.0211 + 13.1978i 0.737173 + 0.747180i
\(313\) 0.546210 0.315354i 0.0308736 0.0178249i −0.484484 0.874800i \(-0.660993\pi\)
0.515357 + 0.856975i \(0.327659\pi\)
\(314\) 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 0.268480 0.963285i \(-0.413479\pi\)
0.968470 + 0.249132i \(0.0801453\pi\)
\(318\) 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 0.663756 0.747949i \(-0.268961\pi\)
−0.979621 + 0.200855i \(0.935628\pi\)
\(332\) −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 0.0198929 0.999802i \(-0.493667\pi\)
−0.855908 + 0.517129i \(0.827001\pi\)
\(348\) −12.2306 46.9077i −0.655627 2.51451i
\(349\) 6.15422i 0.329428i 0.986341 + 0.164714i \(0.0526701\pi\)
−0.986341 + 0.164714i \(0.947330\pi\)
\(350\) 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 0.145326 + 0.989384i \(0.453577\pi\)
−0.929494 + 0.368836i \(0.879756\pi\)
\(354\) 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 −0.621779 + 0.783192i \(0.713590\pi\)
−0.989154 + 0.146881i \(0.953077\pi\)
\(360\) −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 0.995619 + 0.0935065i \(0.0298076\pi\)
0.578788 + 0.815478i \(0.303526\pi\)
\(368\) −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 −0.999580 0.0289688i \(-0.990778\pi\)
0.474702 0.880146i \(-0.342556\pi\)
\(374\) 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 −0.964988 0.262295i \(-0.915521\pi\)
0.255339 0.966851i \(-0.417813\pi\)
\(384\) 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 0.117236 0.993104i \(-0.462597\pi\)
−0.801436 + 0.598081i \(0.795930\pi\)
\(390\) −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 −0.850784 0.525515i \(-0.823873\pi\)
0.0297174 + 0.999558i \(0.490539\pi\)
\(398\) 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 0.0224695 0.999748i \(-0.492847\pi\)
0.877042 + 0.480415i \(0.159514\pi\)
\(402\) 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 0.967966 0.251080i \(-0.0807856\pi\)
0.266542 + 0.963823i \(0.414119\pi\)
\(410\) 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 −0.991836 0.127516i \(-0.959299\pi\)
−0.606351 0.795197i \(-0.707367\pi\)
\(432\) −4.58717 1.32911i −0.220700 0.0639468i
\(433\) 28.9533i 1.39140i −0.718330 0.695702i \(-0.755093\pi\)
0.718330 0.695702i \(-0.244907\pi\)
\(434\) 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 −0.781117 0.624384i \(-0.785350\pi\)
0.150174 + 0.988660i \(0.452017\pi\)
\(440\) −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 −0.546247 0.837624i \(-0.683944\pi\)
0.452281 + 0.891876i \(0.350611\pi\)
\(444\) 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 \(0.0782331\pi\)
−0.969949 + 0.243310i \(0.921767\pi\)
\(450\) 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 −0.939131 0.343560i \(-0.888367\pi\)
0.172033 0.985091i \(-0.444966\pi\)
\(458\) 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 0.742896 + 0.669406i \(0.233451\pi\)
0.208275 + 0.978070i \(0.433215\pi\)
\(468\) −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 −0.990681 0.136205i \(-0.956509\pi\)
0.613297 + 0.789852i \(0.289843\pi\)
\(480\) −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 −0.842087 0.539341i \(-0.818673\pi\)
0.888127 + 0.459598i \(0.152007\pi\)
\(488\) 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 \(0.0430751\pi\)
−0.990858 + 0.134912i \(0.956925\pi\)
\(492\) 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 0.755331 0.655343i \(-0.227476\pi\)
−0.945209 + 0.326465i \(0.894143\pi\)
\(500\) −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 0.972654 0.232258i \(-0.0746113\pi\)
−0.687468 + 0.726214i \(0.741278\pi\)
\(510\) −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 −0.988748 0.149592i \(-0.952204\pi\)
0.623925 + 0.781485i \(0.285537\pi\)
\(522\) 49.7506 27.8361i 2.17752 1.21835i
\(523\) 31.4934 18.1827i 1.37711 0.795075i 0.385300 0.922791i \(-0.374098\pi\)
0.991811 + 0.127716i \(0.0407646\pi\)
\(524\) 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 0.822392 0.568922i \(-0.192639\pi\)
−0.903896 + 0.427751i \(0.859306\pi\)
\(542\) 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 0.667820 0.744322i \(-0.267227\pi\)
−0.310692 + 0.950511i \(0.600561\pi\)
\(558\) −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 −0.861028 0.508558i \(-0.830179\pi\)
0.870938 + 0.491393i \(0.163512\pi\)
\(564\) 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 −0.608588 0.793486i \(-0.708264\pi\)
0.382885 + 0.923796i \(0.374931\pi\)
\(570\) 6.22592 + 6.31043i 0.260775 + 0.264315i
\(571\) −5.31121 + 9.19928i −0.222267 + 0.384978i −0.955496 0.295004i \(-0.904679\pi\)
0.733229 + 0.679982i \(0.238012\pi\)
\(572\) 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 0.445568 0.895248i \(-0.353002\pi\)
−0.552523 + 0.833497i \(0.686335\pi\)
\(578\) −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 0.989109 + 0.147185i \(0.0470213\pi\)
−0.367088 + 0.930186i \(0.619645\pi\)
\(594\) −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 0.622971 0.782245i \(-0.285925\pi\)
−0.365959 + 0.930631i \(0.619259\pi\)
\(600\) 1.45956 + 5.59780i 0.0595861 + 0.228529i
\(601\) 45.3302i 1.84906i 0.381110 + 0.924530i \(0.375542\pi\)
−0.381110 + 0.924530i \(0.624458\pi\)
\(602\) 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 0.0327925 0.999462i \(-0.489560\pi\)
0.881956 + 0.471332i \(0.156227\pi\)
\(608\) −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 0.480648 + 0.876914i \(0.340402\pi\)
−0.999753 + 0.0222040i \(0.992932\pi\)
\(614\) −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 \(0.0572213\pi\)
−0.983886 + 0.178800i \(0.942779\pi\)
\(618\) −3.91898 + 1.02182i −0.157644 + 0.0411037i
\(619\) −26.4112 15.2485i −1.06156 0.612890i −0.135694 0.990751i \(-0.543327\pi\)
−0.925863 + 0.377861i \(0.876660\pi\)
\(620\) −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 0.614371 0.789017i \(-0.289410\pi\)
−0.376123 + 0.926570i \(0.622743\pi\)
\(642\) −49.9139 + 13.0144i −1.96994 + 0.513637i
\(643\) 25.8907i 1.02103i −0.859869 0.510514i \(-0.829455\pi\)
0.859869 0.510514i \(-0.170545\pi\)
\(644\) 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 −0.750351 0.661039i \(-0.770116\pi\)
0.947652 + 0.319304i \(0.103449\pi\)
\(648\) 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 0.354942 0.934888i \(-0.384500\pi\)
0.987108 + 0.160055i \(0.0511671\pi\)
\(654\) −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 \(0.113598\pi\)
−0.936991 + 0.349352i \(0.886402\pi\)
\(660\) −4.19241 16.0791i −0.163189 0.625877i
\(661\) −3.31012 1.91110i −0.128749 0.0743332i 0.434242 0.900796i \(-0.357016\pi\)
−0.562991 + 0.826463i \(0.690350\pi\)
\(662\) 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 −0.993438 0.114370i \(-0.963515\pi\)
0.397672 0.917528i \(-0.369818\pi\)
\(678\) 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 0.148937 0.988847i \(-0.452415\pi\)
−0.781898 + 0.623407i \(0.785748\pi\)
\(684\) 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 −0.750957 0.660351i \(-0.770407\pi\)
0.196403 + 0.980523i \(0.437074\pi\)
\(692\) −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 \(0.135640\pi\)
−0.910574 + 0.413345i \(0.864360\pi\)
\(702\) −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 0.949554 0.313604i \(-0.101536\pi\)
−0.746366 + 0.665536i \(0.768203\pi\)
\(710\) −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 0.995435 0.0954404i \(-0.0304259\pi\)
−0.580371 + 0.814352i \(0.697093\pi\)
\(720\) 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 \(-0.698358\pi\)
0.583604 0.812038i \(-0.301642\pi\)
\(728\) −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 −0.0191524 0.999817i \(-0.506097\pi\)
0.856290 + 0.516495i \(0.172763\pi\)
\(734\) −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 0.209219 + 0.977869i \(0.432908\pi\)
−0.951469 + 0.307746i \(0.900425\pi\)
\(740\) −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 \(0.0517593\pi\)
−0.986809 + 0.161891i \(0.948241\pi\)
\(744\) −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 −0.971748 0.236020i \(-0.924157\pi\)
0.281475 0.959569i \(-0.409176\pi\)
\(752\) −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 0.848963 0.528452i \(-0.177227\pi\)
−0.882135 + 0.470998i \(0.843894\pi\)
\(762\) 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 \(-0.860345\pi\)
0.905288 0.424799i \(-0.139655\pi\)
\(770\) 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 0.00246461 + 0.999997i \(0.499215\pi\)