Properties

Label 43.2.e.a.4.1
Level $43$
Weight $2$
Character 43.4
Analytic conductor $0.343$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 43.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.343356728692\)
Analytic rank: \(0\)
Dimension: \(6\)
Coefficient field: \(\Q(\zeta_{14})\)
Defining polynomial: \(x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1\)
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 4.1
Root \(0.222521 - 0.974928i\) of defining polynomial
Character \(\chi\) \(=\) 43.4
Dual form 43.2.e.a.11.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.777479 + 0.974928i) q^{2} +(0.277479 + 0.347948i) q^{3} +(0.0990311 + 0.433884i) q^{4} +(-0.500000 - 0.240787i) q^{5} -0.554958 q^{6} +1.35690 q^{7} +(-2.74698 - 1.32288i) q^{8} +(0.623490 - 2.73169i) q^{9} +O(q^{10})\) \(q+(-0.777479 + 0.974928i) q^{2} +(0.277479 + 0.347948i) q^{3} +(0.0990311 + 0.433884i) q^{4} +(-0.500000 - 0.240787i) q^{5} -0.554958 q^{6} +1.35690 q^{7} +(-2.74698 - 1.32288i) q^{8} +(0.623490 - 2.73169i) q^{9} +(0.623490 - 0.300257i) q^{10} +(0.480386 - 2.10471i) q^{11} +(-0.123490 + 0.154851i) q^{12} +(-1.42543 - 0.686450i) q^{13} +(-1.05496 + 1.32288i) q^{14} +(-0.0549581 - 0.240787i) q^{15} +(2.62349 - 1.26341i) q^{16} +(-2.24698 + 1.08209i) q^{17} +(2.17845 + 2.73169i) q^{18} +(1.29105 + 5.65647i) q^{19} +(0.0549581 - 0.240787i) q^{20} +(0.376510 + 0.472129i) q^{21} +(1.67845 + 2.10471i) q^{22} +(-1.13437 + 4.97002i) q^{23} +(-0.301938 - 1.32288i) q^{24} +(-2.92543 - 3.66837i) q^{25} +(1.77748 - 0.855989i) q^{26} +(2.32640 - 1.12033i) q^{27} +(0.134375 + 0.588735i) q^{28} +(-3.74094 + 4.69099i) q^{29} +(0.277479 + 0.133627i) q^{30} +(4.75451 - 5.96197i) q^{31} +(0.548917 - 2.40496i) q^{32} +(0.865625 - 0.416863i) q^{33} +(0.692021 - 3.03194i) q^{34} +(-0.678448 - 0.326723i) q^{35} +1.24698 q^{36} -7.18598 q^{37} +(-6.51842 - 3.13910i) q^{38} +(-0.156678 - 0.686450i) q^{39} +(1.05496 + 1.32288i) q^{40} +(6.54288 - 8.20451i) q^{41} -0.753020 q^{42} +(-3.91454 + 5.26083i) q^{43} +0.960771 q^{44} +(-0.969501 + 1.21572i) q^{45} +(-3.96346 - 4.97002i) q^{46} +(2.43416 + 10.6647i) q^{47} +(1.16756 + 0.562269i) q^{48} -5.15883 q^{49} +5.85086 q^{50} +(-1.00000 - 0.481575i) q^{51} +(0.156678 - 0.686450i) q^{52} +(2.77144 - 1.33465i) q^{53} +(-0.716480 + 3.13910i) q^{54} +(-0.746980 + 0.936683i) q^{55} +(-3.72737 - 1.79500i) q^{56} +(-1.60992 + 2.01877i) q^{57} +(-1.66487 - 7.29429i) q^{58} +(6.57338 - 3.16557i) q^{59} +(0.0990311 - 0.0476909i) q^{60} +(5.04892 + 6.33114i) q^{61} +(2.11596 + 9.27061i) q^{62} +(0.846011 - 3.70662i) q^{63} +(5.54892 + 6.95812i) q^{64} +(0.547425 + 0.686450i) q^{65} +(-0.266594 + 1.16802i) q^{66} +(-1.64310 - 7.19891i) q^{67} +(-0.692021 - 0.867767i) q^{68} +(-2.04407 + 0.984374i) q^{69} +(0.846011 - 0.407417i) q^{70} +(0.374354 + 1.64015i) q^{71} +(-5.32640 + 6.67909i) q^{72} +(3.58426 + 1.72609i) q^{73} +(5.58695 - 7.00581i) q^{74} +(0.464656 - 2.03579i) q^{75} +(-2.32640 + 1.12033i) q^{76} +(0.651833 - 2.85587i) q^{77} +(0.791053 + 0.380951i) q^{78} -2.08815 q^{79} -1.61596 q^{80} +(-6.53803 - 3.14855i) q^{81} +(2.91185 + 12.7577i) q^{82} +(0.571884 + 0.717120i) q^{83} +(-0.167563 + 0.210117i) q^{84} +1.38404 q^{85} +(-2.08546 - 7.90658i) q^{86} -2.67025 q^{87} +(-4.10388 + 5.14610i) q^{88} +(-0.928116 - 1.16382i) q^{89} +(-0.431468 - 1.89039i) q^{90} +(-1.93416 - 0.931441i) q^{91} -2.26875 q^{92} +3.39373 q^{93} +(-12.2899 - 5.91848i) q^{94} +(0.716480 - 3.13910i) q^{95} +(0.989115 - 0.476333i) q^{96} +(3.36563 - 14.7458i) q^{97} +(4.01089 - 5.02949i) q^{98} +(-5.44989 - 2.62453i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6q - 5q^{2} + 2q^{3} + 5q^{4} - 3q^{5} - 4q^{6} - 7q^{8} - q^{9} + O(q^{10}) \) \( 6q - 5q^{2} + 2q^{3} + 5q^{4} - 3q^{5} - 4q^{6} - 7q^{8} - q^{9} - q^{10} - 10q^{11} + 4q^{12} + 5q^{13} - 7q^{14} - q^{15} + 11q^{16} - 4q^{17} + 9q^{18} + 2q^{19} + q^{20} + 7q^{21} + 6q^{22} + q^{23} + 7q^{24} - 4q^{25} + 11q^{26} - 4q^{27} - 7q^{28} + 6q^{29} + 2q^{30} - 6q^{31} - 15q^{32} + 13q^{33} - 6q^{34} - 2q^{36} - 14q^{37} - 11q^{38} - 3q^{39} + 7q^{40} + 2q^{41} - 14q^{42} - 13q^{43} - 20q^{44} + 4q^{45} + 5q^{46} + 17q^{47} + 6q^{48} - 14q^{49} + 8q^{50} - 6q^{51} + 3q^{52} - 2q^{53} + 15q^{54} + 5q^{55} - 11q^{57} - 12q^{58} + 12q^{59} + 5q^{60} + 12q^{61} + 33q^{62} + 15q^{64} + 29q^{65} - 5q^{66} - 18q^{67} + 6q^{68} - 16q^{69} + 26q^{71} - 14q^{72} - 9q^{73} + 15q^{75} + 4q^{76} + 28q^{77} - q^{78} - 20q^{79} - 30q^{80} - 24q^{81} + 10q^{82} + 20q^{83} - 12q^{85} - 23q^{86} - 12q^{87} - 7q^{88} + 11q^{89} - 8q^{90} - 14q^{91} + 2q^{92} - 44q^{93} - 27q^{94} - 15q^{95} + 9q^{96} + 28q^{97} + 21q^{98} - 10q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{7}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.777479 + 0.974928i −0.549761 + 0.689378i −0.976628 0.214936i \(-0.931046\pi\)
0.426867 + 0.904314i \(0.359617\pi\)
\(3\) 0.277479 + 0.347948i 0.160203 + 0.200888i 0.855454 0.517879i \(-0.173278\pi\)
−0.695251 + 0.718767i \(0.744707\pi\)
\(4\) 0.0990311 + 0.433884i 0.0495156 + 0.216942i
\(5\) −0.500000 0.240787i −0.223607 0.107683i 0.318727 0.947847i \(-0.396745\pi\)
−0.542334 + 0.840163i \(0.682459\pi\)
\(6\) −0.554958 −0.226561
\(7\) 1.35690 0.512858 0.256429 0.966563i \(-0.417454\pi\)
0.256429 + 0.966563i \(0.417454\pi\)
\(8\) −2.74698 1.32288i −0.971204 0.467707i
\(9\) 0.623490 2.73169i 0.207830 0.910562i
\(10\) 0.623490 0.300257i 0.197165 0.0949496i
\(11\) 0.480386 2.10471i 0.144842 0.634593i −0.849429 0.527703i \(-0.823053\pi\)
0.994271 0.106890i \(-0.0340894\pi\)
\(12\) −0.123490 + 0.154851i −0.0356484 + 0.0447017i
\(13\) −1.42543 0.686450i −0.395342 0.190387i 0.225641 0.974211i \(-0.427552\pi\)
−0.620984 + 0.783824i \(0.713267\pi\)
\(14\) −1.05496 + 1.32288i −0.281949 + 0.353553i
\(15\) −0.0549581 0.240787i −0.0141901 0.0621710i
\(16\) 2.62349 1.26341i 0.655872 0.315852i
\(17\) −2.24698 + 1.08209i −0.544973 + 0.262445i −0.686051 0.727553i \(-0.740657\pi\)
0.141078 + 0.989998i \(0.454943\pi\)
\(18\) 2.17845 + 2.73169i 0.513465 + 0.643865i
\(19\) 1.29105 + 5.65647i 0.296188 + 1.29768i 0.875754 + 0.482758i \(0.160365\pi\)
−0.579566 + 0.814925i \(0.696778\pi\)
\(20\) 0.0549581 0.240787i 0.0122890 0.0538417i
\(21\) 0.376510 + 0.472129i 0.0821613 + 0.103027i
\(22\) 1.67845 + 2.10471i 0.357846 + 0.448725i
\(23\) −1.13437 + 4.97002i −0.236534 + 1.03632i 0.707563 + 0.706651i \(0.249795\pi\)
−0.944096 + 0.329670i \(0.893062\pi\)
\(24\) −0.301938 1.32288i −0.0616328 0.270031i
\(25\) −2.92543 3.66837i −0.585086 0.733674i
\(26\) 1.77748 0.855989i 0.348592 0.167873i
\(27\) 2.32640 1.12033i 0.447715 0.215608i
\(28\) 0.134375 + 0.588735i 0.0253945 + 0.111260i
\(29\) −3.74094 + 4.69099i −0.694675 + 0.871095i −0.996613 0.0822327i \(-0.973795\pi\)
0.301938 + 0.953327i \(0.402366\pi\)
\(30\) 0.277479 + 0.133627i 0.0506605 + 0.0243968i
\(31\) 4.75451 5.96197i 0.853936 1.07080i −0.142775 0.989755i \(-0.545602\pi\)
0.996710 0.0810462i \(-0.0258261\pi\)
\(32\) 0.548917 2.40496i 0.0970358 0.425142i
\(33\) 0.865625 0.416863i 0.150686 0.0725665i
\(34\) 0.692021 3.03194i 0.118681 0.519974i
\(35\) −0.678448 0.326723i −0.114679 0.0552263i
\(36\) 1.24698 0.207830
\(37\) −7.18598 −1.18137 −0.590684 0.806903i \(-0.701142\pi\)
−0.590684 + 0.806903i \(0.701142\pi\)
\(38\) −6.51842 3.13910i −1.05743 0.509230i
\(39\) −0.156678 0.686450i −0.0250885 0.109920i
\(40\) 1.05496 + 1.32288i 0.166804 + 0.209165i
\(41\) 6.54288 8.20451i 1.02183 1.28133i 0.0627950 0.998026i \(-0.479999\pi\)
0.959031 0.283302i \(-0.0914300\pi\)
\(42\) −0.753020 −0.116194
\(43\) −3.91454 + 5.26083i −0.596962 + 0.802269i
\(44\) 0.960771 0.144842
\(45\) −0.969501 + 1.21572i −0.144525 + 0.181228i
\(46\) −3.96346 4.97002i −0.584380 0.732790i
\(47\) 2.43416 + 10.6647i 0.355058 + 1.55561i 0.765324 + 0.643646i \(0.222579\pi\)
−0.410265 + 0.911966i \(0.634564\pi\)
\(48\) 1.16756 + 0.562269i 0.168523 + 0.0811565i
\(49\) −5.15883 −0.736976
\(50\) 5.85086 0.827436
\(51\) −1.00000 0.481575i −0.140028 0.0674339i
\(52\) 0.156678 0.686450i 0.0217273 0.0951934i
\(53\) 2.77144 1.33465i 0.380686 0.183329i −0.233747 0.972297i \(-0.575099\pi\)
0.614434 + 0.788969i \(0.289385\pi\)
\(54\) −0.716480 + 3.13910i −0.0975006 + 0.427178i
\(55\) −0.746980 + 0.936683i −0.100723 + 0.126302i
\(56\) −3.72737 1.79500i −0.498090 0.239868i
\(57\) −1.60992 + 2.01877i −0.213239 + 0.267393i
\(58\) −1.66487 7.29429i −0.218609 0.957787i
\(59\) 6.57338 3.16557i 0.855781 0.412122i 0.0460606 0.998939i \(-0.485333\pi\)
0.809720 + 0.586816i \(0.199619\pi\)
\(60\) 0.0990311 0.0476909i 0.0127849 0.00615687i
\(61\) 5.04892 + 6.33114i 0.646448 + 0.810620i 0.991793 0.127856i \(-0.0408096\pi\)
−0.345345 + 0.938476i \(0.612238\pi\)
\(62\) 2.11596 + 9.27061i 0.268727 + 1.17737i
\(63\) 0.846011 3.70662i 0.106587 0.466990i
\(64\) 5.54892 + 6.95812i 0.693615 + 0.869765i
\(65\) 0.547425 + 0.686450i 0.0678998 + 0.0851436i
\(66\) −0.266594 + 1.16802i −0.0328154 + 0.143774i
\(67\) −1.64310 7.19891i −0.200737 0.879487i −0.970489 0.241144i \(-0.922477\pi\)
0.769752 0.638343i \(-0.220380\pi\)
\(68\) −0.692021 0.867767i −0.0839199 0.105232i
\(69\) −2.04407 + 0.984374i −0.246077 + 0.118505i
\(70\) 0.846011 0.407417i 0.101118 0.0486957i
\(71\) 0.374354 + 1.64015i 0.0444277 + 0.194650i 0.992272 0.124084i \(-0.0395993\pi\)
−0.947844 + 0.318735i \(0.896742\pi\)
\(72\) −5.32640 + 6.67909i −0.627722 + 0.787138i
\(73\) 3.58426 + 1.72609i 0.419506 + 0.202023i 0.631715 0.775201i \(-0.282351\pi\)
−0.212209 + 0.977224i \(0.568066\pi\)
\(74\) 5.58695 7.00581i 0.649470 0.814409i
\(75\) 0.464656 2.03579i 0.0536539 0.235073i
\(76\) −2.32640 + 1.12033i −0.266856 + 0.128511i
\(77\) 0.651833 2.85587i 0.0742833 0.325456i
\(78\) 0.791053 + 0.380951i 0.0895691 + 0.0431342i
\(79\) −2.08815 −0.234935 −0.117467 0.993077i \(-0.537478\pi\)
−0.117467 + 0.993077i \(0.537478\pi\)
\(80\) −1.61596 −0.180669
\(81\) −6.53803 3.14855i −0.726448 0.349839i
\(82\) 2.91185 + 12.7577i 0.321560 + 1.40885i
\(83\) 0.571884 + 0.717120i 0.0627724 + 0.0787141i 0.812226 0.583342i \(-0.198255\pi\)
−0.749454 + 0.662056i \(0.769684\pi\)
\(84\) −0.167563 + 0.210117i −0.0182826 + 0.0229257i
\(85\) 1.38404 0.150121
\(86\) −2.08546 7.90658i −0.224881 0.852589i
\(87\) −2.67025 −0.286281
\(88\) −4.10388 + 5.14610i −0.437475 + 0.548576i
\(89\) −0.928116 1.16382i −0.0983801 0.123365i 0.730204 0.683229i \(-0.239425\pi\)
−0.828585 + 0.559864i \(0.810853\pi\)
\(90\) −0.431468 1.89039i −0.0454808 0.199264i
\(91\) −1.93416 0.931441i −0.202755 0.0976415i
\(92\) −2.26875 −0.236534
\(93\) 3.39373 0.351914
\(94\) −12.2899 5.91848i −1.26760 0.610445i
\(95\) 0.716480 3.13910i 0.0735093 0.322065i
\(96\) 0.989115 0.476333i 0.100951 0.0486155i
\(97\) 3.36563 14.7458i 0.341727 1.49721i −0.453699 0.891155i \(-0.649896\pi\)
0.795426 0.606051i \(-0.207247\pi\)
\(98\) 4.01089 5.02949i 0.405161 0.508055i
\(99\) −5.44989 2.62453i −0.547734 0.263775i
\(100\) 1.30194 1.63258i 0.130194 0.163258i
\(101\) 0.755176 + 3.30864i 0.0751429 + 0.329222i 0.998502 0.0547150i \(-0.0174250\pi\)
−0.923359 + 0.383937i \(0.874568\pi\)
\(102\) 1.24698 0.600514i 0.123469 0.0594597i
\(103\) 4.59299 2.21187i 0.452561 0.217942i −0.193696 0.981062i \(-0.562048\pi\)
0.646257 + 0.763120i \(0.276333\pi\)
\(104\) 3.00753 + 3.77133i 0.294913 + 0.369809i
\(105\) −0.0745725 0.326723i −0.00727753 0.0318849i
\(106\) −0.853543 + 3.73962i −0.0829035 + 0.363224i
\(107\) 0.192021 + 0.240787i 0.0185634 + 0.0232778i 0.791027 0.611782i \(-0.209547\pi\)
−0.772463 + 0.635060i \(0.780976\pi\)
\(108\) 0.716480 + 0.898438i 0.0689433 + 0.0864522i
\(109\) −3.04892 + 13.3582i −0.292033 + 1.27948i 0.589657 + 0.807654i \(0.299263\pi\)
−0.881691 + 0.471828i \(0.843594\pi\)
\(110\) −0.332437 1.45650i −0.0316966 0.138872i
\(111\) −1.99396 2.50035i −0.189258 0.237322i
\(112\) 3.55980 1.71431i 0.336370 0.161987i
\(113\) 17.0124 8.19273i 1.60039 0.770707i 0.600801 0.799398i \(-0.294848\pi\)
0.999588 + 0.0286911i \(0.00913393\pi\)
\(114\) −0.716480 3.13910i −0.0671045 0.294004i
\(115\) 1.76391 2.21187i 0.164485 0.206258i
\(116\) −2.40581 1.15858i −0.223374 0.107571i
\(117\) −2.76391 + 3.46583i −0.255523 + 0.320416i
\(118\) −2.02446 + 8.86973i −0.186367 + 0.816525i
\(119\) −3.04892 + 1.46828i −0.279494 + 0.134597i
\(120\) −0.167563 + 0.734141i −0.0152963 + 0.0670176i
\(121\) 5.71164 + 2.75058i 0.519240 + 0.250053i
\(122\) −10.0978 −0.914215
\(123\) 4.67025 0.421102
\(124\) 3.05765 + 1.47248i 0.274585 + 0.132233i
\(125\) 1.19687 + 5.24381i 0.107051 + 0.469021i
\(126\) 2.95593 + 3.70662i 0.263335 + 0.330212i
\(127\) −3.11410 + 3.90495i −0.276331 + 0.346509i −0.900559 0.434734i \(-0.856842\pi\)
0.624228 + 0.781243i \(0.285414\pi\)
\(128\) −6.16421 −0.544844
\(129\) −2.91670 + 0.0977147i −0.256801 + 0.00860330i
\(130\) −1.09485 −0.0960248
\(131\) −11.1773 + 14.0158i −0.976561 + 1.22457i −0.00210326 + 0.999998i \(0.500669\pi\)
−0.974458 + 0.224571i \(0.927902\pi\)
\(132\) 0.266594 + 0.334298i 0.0232040 + 0.0290969i
\(133\) 1.75182 + 7.67524i 0.151902 + 0.665528i
\(134\) 8.29590 + 3.99509i 0.716656 + 0.345124i
\(135\) −1.43296 −0.123330
\(136\) 7.60388 0.652027
\(137\) 11.2702 + 5.42746i 0.962882 + 0.463699i 0.848184 0.529701i \(-0.177696\pi\)
0.114697 + 0.993400i \(0.463410\pi\)
\(138\) 0.629531 2.75815i 0.0535892 0.234790i
\(139\) 5.46950 2.63397i 0.463917 0.223411i −0.187299 0.982303i \(-0.559973\pi\)
0.651216 + 0.758892i \(0.274259\pi\)
\(140\) 0.0745725 0.326723i 0.00630252 0.0276132i
\(141\) −3.03534 + 3.80620i −0.255622 + 0.320540i
\(142\) −1.89008 0.910216i −0.158612 0.0763837i
\(143\) −2.12953 + 2.67035i −0.178080 + 0.223306i
\(144\) −1.81551 7.95427i −0.151293 0.662856i
\(145\) 3.00000 1.44472i 0.249136 0.119978i
\(146\) −4.46950 + 2.15240i −0.369898 + 0.178134i
\(147\) −1.43147 1.79500i −0.118066 0.148049i
\(148\) −0.711636 3.11788i −0.0584961 0.256288i
\(149\) 0.612605 2.68400i 0.0501865 0.219882i −0.943616 0.331042i \(-0.892600\pi\)
0.993802 + 0.111161i \(0.0354569\pi\)
\(150\) 1.62349 + 2.03579i 0.132557 + 0.166222i
\(151\) −11.6283 14.5815i −0.946300 1.18662i −0.982308 0.187272i \(-0.940036\pi\)
0.0360077 0.999352i \(-0.488536\pi\)
\(152\) 3.93631 17.2461i 0.319277 1.39884i
\(153\) 1.55496 + 6.81272i 0.125711 + 0.550776i
\(154\) 2.27748 + 2.85587i 0.183524 + 0.230132i
\(155\) −3.81282 + 1.83616i −0.306253 + 0.147484i
\(156\) 0.282323 0.135960i 0.0226040 0.0108855i
\(157\) −2.94385 12.8978i −0.234944 1.02936i −0.945476 0.325693i \(-0.894402\pi\)
0.710531 0.703666i \(-0.248455\pi\)
\(158\) 1.62349 2.03579i 0.129158 0.161959i
\(159\) 1.23341 + 0.593977i 0.0978155 + 0.0471054i
\(160\) −0.853543 + 1.07031i −0.0674785 + 0.0846154i
\(161\) −1.53923 + 6.74380i −0.121308 + 0.531486i
\(162\) 8.15279 3.92618i 0.640544 0.308470i
\(163\) 2.32908 10.2044i 0.182428 0.799269i −0.798042 0.602602i \(-0.794131\pi\)
0.980470 0.196668i \(-0.0630120\pi\)
\(164\) 4.20775 + 2.02635i 0.328570 + 0.158231i
\(165\) −0.533188 −0.0415086
\(166\) −1.14377 −0.0887736
\(167\) −13.1223 6.31936i −1.01543 0.489007i −0.149285 0.988794i \(-0.547697\pi\)
−0.866148 + 0.499787i \(0.833412\pi\)
\(168\) −0.409698 1.79500i −0.0316089 0.138488i
\(169\) −6.54474 8.20684i −0.503441 0.631295i
\(170\) −1.07606 + 1.34934i −0.0825304 + 0.103490i
\(171\) 16.2567 1.24318
\(172\) −2.67025 1.17747i −0.203605 0.0897813i
\(173\) −8.78986 −0.668280 −0.334140 0.942523i \(-0.608446\pi\)
−0.334140 + 0.942523i \(0.608446\pi\)
\(174\) 2.07606 2.60330i 0.157386 0.197356i
\(175\) −3.96950 4.97760i −0.300066 0.376271i
\(176\) −1.39881 6.12860i −0.105439 0.461961i
\(177\) 2.92543 + 1.40881i 0.219889 + 0.105893i
\(178\) 1.85623 0.139130
\(179\) −21.4034 −1.59977 −0.799883 0.600155i \(-0.795105\pi\)
−0.799883 + 0.600155i \(0.795105\pi\)
\(180\) −0.623490 0.300257i −0.0464722 0.0223798i
\(181\) −5.85958 + 25.6725i −0.435539 + 1.90822i −0.0173811 + 0.999849i \(0.505533\pi\)
−0.418158 + 0.908374i \(0.637324\pi\)
\(182\) 2.41185 1.16149i 0.178779 0.0860952i
\(183\) −0.801938 + 3.51352i −0.0592809 + 0.259727i
\(184\) 9.69083 12.1519i 0.714417 0.895851i
\(185\) 3.59299 + 1.73029i 0.264162 + 0.127214i
\(186\) −2.63856 + 3.30864i −0.193468 + 0.242602i
\(187\) 1.19806 + 5.24905i 0.0876110 + 0.383849i
\(188\) −4.38620 + 2.11228i −0.319896 + 0.154054i
\(189\) 3.15668 1.52018i 0.229615 0.110577i
\(190\) 2.50335 + 3.13910i 0.181612 + 0.227735i
\(191\) −1.93362 8.47176i −0.139912 0.612995i −0.995453 0.0952590i \(-0.969632\pi\)
0.855540 0.517736i \(-0.173225\pi\)
\(192\) −0.881355 + 3.86147i −0.0636063 + 0.278677i
\(193\) 1.28501 + 1.61135i 0.0924972 + 0.115988i 0.825926 0.563778i \(-0.190653\pi\)
−0.733429 + 0.679766i \(0.762081\pi\)
\(194\) 11.7594 + 14.7458i 0.844273 + 1.05868i
\(195\) −0.0869495 + 0.380951i −0.00622659 + 0.0272805i
\(196\) −0.510885 2.23833i −0.0364918 0.159881i
\(197\) 0.285012 + 0.357394i 0.0203063 + 0.0254632i 0.791881 0.610676i \(-0.209102\pi\)
−0.771575 + 0.636139i \(0.780531\pi\)
\(198\) 6.79590 3.27273i 0.482963 0.232583i
\(199\) −1.85958 + 0.895529i −0.131822 + 0.0634823i −0.498632 0.866814i \(-0.666164\pi\)
0.366810 + 0.930296i \(0.380450\pi\)
\(200\) 3.18329 + 13.9469i 0.225093 + 0.986196i
\(201\) 2.04892 2.56926i 0.144519 0.181222i
\(202\) −3.81282 1.83616i −0.268269 0.129192i
\(203\) −5.07606 + 6.36518i −0.356270 + 0.446748i
\(204\) 0.109916 0.481575i 0.00769568 0.0337170i
\(205\) −5.24698 + 2.52681i −0.366465 + 0.176480i
\(206\) −1.41454 + 6.19752i −0.0985558 + 0.431801i
\(207\) 12.8693 + 6.19752i 0.894476 + 0.430757i
\(208\) −4.60686 −0.319428
\(209\) 12.5254 0.866401
\(210\) 0.376510 + 0.181318i 0.0259817 + 0.0125121i
\(211\) −0.188137 0.824280i −0.0129519 0.0567458i 0.968039 0.250800i \(-0.0806935\pi\)
−0.980991 + 0.194054i \(0.937836\pi\)
\(212\) 0.853543 + 1.07031i 0.0586216 + 0.0735092i
\(213\) −0.466812 + 0.585364i −0.0319854 + 0.0401085i
\(214\) −0.384043 −0.0262526
\(215\) 3.22401 1.68784i 0.219876 0.115110i
\(216\) −7.87263 −0.535664
\(217\) 6.45138 8.08977i 0.437948 0.549170i
\(218\) −10.6528 13.3582i −0.721498 0.904730i
\(219\) 0.393969 + 1.72609i 0.0266219 + 0.116638i
\(220\) −0.480386 0.231342i −0.0323876 0.0155970i
\(221\) 3.94571 0.265417
\(222\) 3.98792 0.267652
\(223\) 21.5661 + 10.3857i 1.44418 + 0.695478i 0.981573 0.191088i \(-0.0612014\pi\)
0.462602 + 0.886566i \(0.346916\pi\)
\(224\) 0.744824 3.26329i 0.0497656 0.218037i
\(225\) −11.8448 + 5.70416i −0.789654 + 0.380277i
\(226\) −5.23945 + 22.9555i −0.348523 + 1.52698i
\(227\) −3.29859 + 4.13630i −0.218935 + 0.274536i −0.879154 0.476537i \(-0.841892\pi\)
0.660220 + 0.751073i \(0.270463\pi\)
\(228\) −1.03534 0.498595i −0.0685673 0.0330203i
\(229\) 9.54138 11.9645i 0.630512 0.790638i −0.359268 0.933234i \(-0.616974\pi\)
0.989781 + 0.142597i \(0.0455452\pi\)
\(230\) 0.785012 + 3.43936i 0.0517621 + 0.226785i
\(231\) 1.17456 0.565640i 0.0772806 0.0372164i
\(232\) 16.4819 7.93725i 1.08209 0.521106i
\(233\) −15.9758 20.0331i −1.04661 1.31241i −0.948342 0.317250i \(-0.897241\pi\)
−0.0982699 0.995160i \(-0.531331\pi\)
\(234\) −1.23005 5.38922i −0.0804111 0.352304i
\(235\) 1.35086 5.91848i 0.0881201 0.386079i
\(236\) 2.02446 + 2.53859i 0.131781 + 0.165248i
\(237\) −0.579417 0.726566i −0.0376372 0.0471955i
\(238\) 0.939001 4.11403i 0.0608664 0.266673i
\(239\) 1.48254 + 6.49544i 0.0958976 + 0.420155i 0.999974 0.00721601i \(-0.00229695\pi\)
−0.904076 + 0.427371i \(0.859440\pi\)
\(240\) −0.448394 0.562269i −0.0289437 0.0362943i
\(241\) −2.34601 + 1.12978i −0.151120 + 0.0727755i −0.507915 0.861407i \(-0.669584\pi\)
0.356795 + 0.934183i \(0.383869\pi\)
\(242\) −7.12229 + 3.42992i −0.457838 + 0.220483i
\(243\) −2.44235 10.7006i −0.156677 0.686447i
\(244\) −2.24698 + 2.81762i −0.143848 + 0.180380i
\(245\) 2.57942 + 1.24218i 0.164793 + 0.0793601i
\(246\) −3.63102 + 4.55316i −0.231506 + 0.290299i
\(247\) 2.04258 8.94913i 0.129966 0.569420i
\(248\) −20.9475 + 10.0878i −1.33017 + 0.640575i
\(249\) −0.0908344 + 0.397972i −0.00575640 + 0.0252204i
\(250\) −6.04288 2.91010i −0.382185 0.184051i
\(251\) 6.64609 0.419497 0.209749 0.977755i \(-0.432735\pi\)
0.209749 + 0.977755i \(0.432735\pi\)
\(252\) 1.69202 0.106587
\(253\) 9.91550 + 4.77505i 0.623382 + 0.300205i
\(254\) −1.38590 6.07204i −0.0869593 0.380994i
\(255\) 0.384043 + 0.481575i 0.0240497 + 0.0301574i
\(256\) −6.30529 + 7.90658i −0.394081 + 0.494161i
\(257\) 1.40581 0.0876922 0.0438461 0.999038i \(-0.486039\pi\)
0.0438461 + 0.999038i \(0.486039\pi\)
\(258\) 2.17241 2.91954i 0.135248 0.181763i
\(259\) −9.75063 −0.605875
\(260\) −0.243627 + 0.305499i −0.0151091 + 0.0189462i
\(261\) 10.4819 + 13.1439i 0.648812 + 0.813584i
\(262\) −4.97434 21.7940i −0.307316 1.34644i
\(263\) 2.83244 + 1.36403i 0.174656 + 0.0841097i 0.519169 0.854672i \(-0.326242\pi\)
−0.344513 + 0.938782i \(0.611956\pi\)
\(264\) −2.92931 −0.180287
\(265\) −1.70709 −0.104866
\(266\) −8.84481 4.25944i −0.542310 0.261163i
\(267\) 0.147416 0.645872i 0.00902171 0.0395267i
\(268\) 2.96077 1.42583i 0.180858 0.0870966i
\(269\) 2.56531 11.2394i 0.156410 0.685276i −0.834529 0.550964i \(-0.814260\pi\)
0.990939 0.134312i \(-0.0428825\pi\)
\(270\) 1.11410 1.39703i 0.0678018 0.0850207i
\(271\) 12.0341 + 5.79534i 0.731022 + 0.352042i 0.762086 0.647476i \(-0.224175\pi\)
−0.0310638 + 0.999517i \(0.509890\pi\)
\(272\) −4.52781 + 5.67770i −0.274539 + 0.344261i
\(273\) −0.212595 0.931441i −0.0128669 0.0563734i
\(274\) −14.0538 + 6.76793i −0.849019 + 0.408866i
\(275\) −9.12618 + 4.39494i −0.550329 + 0.265025i
\(276\) −0.629531 0.789406i −0.0378933 0.0475167i
\(277\) −2.95324 12.9390i −0.177443 0.777428i −0.982805 0.184645i \(-0.940886\pi\)
0.805362 0.592783i \(-0.201971\pi\)
\(278\) −1.68449 + 7.38023i −0.101029 + 0.442637i
\(279\) −13.3218 16.7051i −0.797558 1.00011i
\(280\) 1.43147 + 1.79500i 0.0855466 + 0.107272i
\(281\) 3.54192 15.5182i 0.211293 0.925735i −0.752397 0.658710i \(-0.771102\pi\)
0.963690 0.267025i \(-0.0860406\pi\)
\(282\) −1.35086 5.91848i −0.0804422 0.352441i
\(283\) 14.8267 + 18.5921i 0.881355 + 1.10518i 0.993762 + 0.111522i \(0.0355727\pi\)
−0.112407 + 0.993662i \(0.535856\pi\)
\(284\) −0.674563 + 0.324852i −0.0400280 + 0.0192764i
\(285\) 1.29105 0.621738i 0.0764754 0.0368286i
\(286\) −0.947730 4.15228i −0.0560405 0.245529i
\(287\) 8.87800 11.1327i 0.524052 0.657140i
\(288\) −6.22737 2.99894i −0.366951 0.176714i
\(289\) −6.72132 + 8.42827i −0.395372 + 0.495781i
\(290\) −0.923936 + 4.04803i −0.0542554 + 0.237708i
\(291\) 6.06465 2.92058i 0.355516 0.171207i
\(292\) −0.393969 + 1.72609i −0.0230553 + 0.101012i
\(293\) −11.4330 5.50582i −0.667921 0.321654i 0.0690159 0.997616i \(-0.478014\pi\)
−0.736937 + 0.675962i \(0.763728\pi\)
\(294\) 2.86294 0.166970
\(295\) −4.04892 −0.235737
\(296\) 19.7397 + 9.50616i 1.14735 + 0.552534i
\(297\) −1.24041 5.43458i −0.0719757 0.315346i
\(298\) 2.14042 + 2.68400i 0.123991 + 0.155480i
\(299\) 5.02864 6.30571i 0.290814 0.364669i
\(300\) 0.929312 0.0536539
\(301\) −5.31163 + 7.13840i −0.306157 + 0.411451i
\(302\) 23.2567 1.33827
\(303\) −0.941689 + 1.18084i −0.0540986 + 0.0678376i
\(304\) 10.5335 + 13.2086i 0.604137 + 0.757563i
\(305\) −1.00000 4.38129i −0.0572598 0.250872i
\(306\) −7.85086 3.78077i −0.448804 0.216132i
\(307\) 18.1903 1.03817 0.519087 0.854721i \(-0.326272\pi\)
0.519087 + 0.854721i \(0.326272\pi\)
\(308\) 1.30367 0.0742833
\(309\) 2.04407 + 0.984374i 0.116283 + 0.0559991i
\(310\) 1.17427 5.14480i 0.0666939 0.292205i
\(311\) −6.56249 + 3.16033i −0.372125 + 0.179206i −0.610593 0.791944i \(-0.709069\pi\)
0.238468 + 0.971150i \(0.423355\pi\)
\(312\) −0.477697 + 2.09293i −0.0270443 + 0.118489i
\(313\) −11.6799 + 14.6462i −0.660189 + 0.827851i −0.993364 0.115014i \(-0.963309\pi\)
0.333175 + 0.942865i \(0.391880\pi\)
\(314\) 14.8632 + 7.15776i 0.838781 + 0.403936i
\(315\) −1.31551 + 1.64960i −0.0741207 + 0.0929444i
\(316\) −0.206791 0.906013i −0.0116329 0.0509672i
\(317\) −3.12565 + 1.50523i −0.175554 + 0.0845422i −0.519597 0.854412i \(-0.673918\pi\)
0.344043 + 0.938954i \(0.388203\pi\)
\(318\) −1.53803 + 0.740677i −0.0862486 + 0.0415351i
\(319\) 8.07606 + 10.1271i 0.452173 + 0.567007i
\(320\) −1.09903 4.81517i −0.0614377 0.269176i
\(321\) −0.0304995 + 0.133627i −0.00170231 + 0.00745832i
\(322\) −5.37800 6.74380i −0.299704 0.375817i
\(323\) −9.02177 11.3129i −0.501985 0.629469i
\(324\) 0.718636 3.14855i 0.0399242 0.174919i
\(325\) 1.65183 + 7.23715i 0.0916272 + 0.401445i
\(326\) 8.13773 + 10.2044i 0.450707 + 0.565169i
\(327\) −5.49396 + 2.64575i −0.303817 + 0.146310i
\(328\) −28.8267 + 13.8822i −1.59169 + 0.766516i
\(329\) 3.30290 + 14.4709i 0.182095 + 0.797809i
\(330\) 0.414542 0.519820i 0.0228198 0.0286151i
\(331\) 12.5368 + 6.03742i 0.689087 + 0.331847i 0.745448 0.666564i \(-0.232236\pi\)
−0.0563612 + 0.998410i \(0.517950\pi\)
\(332\) −0.254512 + 0.319148i −0.0139682 + 0.0175155i
\(333\) −4.48039 + 19.6299i −0.245524 + 1.07571i
\(334\) 16.3632 7.88012i 0.895356 0.431181i
\(335\) −0.911854 + 3.99509i −0.0498199 + 0.218275i
\(336\) 1.58426 + 0.762940i 0.0864285 + 0.0416218i
\(337\) −3.05323 −0.166320 −0.0831600 0.996536i \(-0.526501\pi\)
−0.0831600 + 0.996536i \(0.526501\pi\)
\(338\) 13.0895 0.711974
\(339\) 7.57122 + 3.64611i 0.411212 + 0.198029i
\(340\) 0.137063 + 0.600514i 0.00743330 + 0.0325674i
\(341\) −10.2642 12.8709i −0.555838 0.696998i
\(342\) −12.6392 + 15.8491i −0.683451 + 0.857020i
\(343\) −16.4983 −0.890823
\(344\) 17.7126 9.27295i 0.954999 0.499964i
\(345\) 1.25906 0.0677856
\(346\) 6.83393 8.56948i 0.367394 0.460698i
\(347\) 8.99396 + 11.2781i 0.482821 + 0.605438i 0.962258 0.272138i \(-0.0877306\pi\)
−0.479437 + 0.877576i \(0.659159\pi\)
\(348\) −0.264438 1.15858i −0.0141754 0.0621063i
\(349\) −25.5770 12.3172i −1.36911 0.659327i −0.402459 0.915438i \(-0.631845\pi\)
−0.966647 + 0.256111i \(0.917559\pi\)
\(350\) 7.93900 0.424357
\(351\) −4.08516 −0.218050
\(352\) −4.79805 2.31062i −0.255737 0.123156i
\(353\) 3.02984 13.2746i 0.161262 0.706534i −0.828042 0.560666i \(-0.810545\pi\)
0.989304 0.145869i \(-0.0465976\pi\)
\(354\) −3.64795 + 1.75676i −0.193886 + 0.0933707i
\(355\) 0.207751 0.910216i 0.0110263 0.0483093i
\(356\) 0.413050 0.517949i 0.0218916 0.0274512i
\(357\) −1.35690 0.653447i −0.0718145 0.0345841i
\(358\) 16.6407 20.8668i 0.879489 1.10284i
\(359\) 7.29590 + 31.9654i 0.385063 + 1.68707i 0.681339 + 0.731968i \(0.261398\pi\)
−0.296277 + 0.955102i \(0.595745\pi\)
\(360\) 4.27144 2.05702i 0.225125 0.108414i
\(361\) −13.2104 + 6.36181i −0.695286 + 0.334832i
\(362\) −20.4731 25.6725i −1.07604 1.34932i
\(363\) 0.627802 + 2.75058i 0.0329510 + 0.144368i
\(364\) 0.212595 0.931441i 0.0111430 0.0488208i
\(365\) −1.37651 1.72609i −0.0720498 0.0903476i
\(366\) −2.80194 3.51352i −0.146460 0.183655i
\(367\) −5.67360 + 24.8577i −0.296160 + 1.29756i 0.579635 + 0.814876i \(0.303195\pi\)
−0.875795 + 0.482684i \(0.839662\pi\)
\(368\) 3.30313 + 14.4720i 0.172188 + 0.754404i
\(369\) −18.3327 22.9885i −0.954364 1.19673i
\(370\) −4.48039 + 2.15764i −0.232924 + 0.112170i
\(371\) 3.76055 1.81099i 0.195238 0.0940218i
\(372\) 0.336085 + 1.47248i 0.0174252 + 0.0763448i
\(373\) 17.1863 21.5509i 0.889872 1.11586i −0.102762 0.994706i \(-0.532768\pi\)
0.992633 0.121158i \(-0.0386607\pi\)
\(374\) −6.04892 2.91301i −0.312782 0.150628i
\(375\) −1.49247 + 1.87149i −0.0770707 + 0.0966436i
\(376\) 7.42154 32.5159i 0.382737 1.67688i
\(377\) 8.55257 4.11870i 0.440480 0.212124i
\(378\) −0.972189 + 4.25944i −0.0500040 + 0.219082i
\(379\) −25.3708 12.2179i −1.30321 0.627592i −0.351959 0.936015i \(-0.614484\pi\)
−0.951249 + 0.308423i \(0.900199\pi\)
\(380\) 1.43296 0.0735093
\(381\) −2.22282 −0.113878
\(382\) 9.76271 + 4.70147i 0.499504 + 0.240548i
\(383\) −6.36927 27.9056i −0.325455 1.42591i −0.827693 0.561181i \(-0.810347\pi\)
0.502239 0.864729i \(-0.332510\pi\)
\(384\) −1.71044 2.14482i −0.0872855 0.109453i
\(385\) −1.01357 + 1.27098i −0.0516565 + 0.0647752i
\(386\) −2.57002 −0.130811
\(387\) 11.9303 + 13.9734i 0.606450 + 0.710307i
\(388\) 6.73125 0.341727
\(389\) 22.0206 27.6129i 1.11649 1.40003i 0.210050 0.977691i \(-0.432637\pi\)
0.906437 0.422340i \(-0.138791\pi\)
\(390\) −0.303798 0.380951i −0.0153834 0.0192902i
\(391\) −2.82908 12.3950i −0.143073 0.626844i
\(392\) 14.1712 + 6.82450i 0.715754 + 0.344689i
\(393\) −7.97823 −0.402448
\(394\) −0.570024 −0.0287174
\(395\) 1.04407 + 0.502799i 0.0525330 + 0.0252986i
\(396\) 0.599031 2.62453i 0.0301024 0.131887i
\(397\) −3.04407 + 1.46595i −0.152778 + 0.0735738i −0.508710 0.860938i \(-0.669878\pi\)
0.355933 + 0.934512i \(0.384163\pi\)
\(398\) 0.572712 2.50922i 0.0287075 0.125776i
\(399\) −2.18449 + 2.73926i −0.109361 + 0.137135i
\(400\) −12.3095 5.92793i −0.615474 0.296396i
\(401\) −10.5429 + 13.2203i −0.526486 + 0.660193i −0.971972 0.235096i \(-0.924459\pi\)
0.445486 + 0.895289i \(0.353031\pi\)
\(402\) 0.911854 + 3.99509i 0.0454791 + 0.199257i
\(403\) −10.8698 + 5.23462i −0.541464 + 0.260755i
\(404\) −1.36078 + 0.655317i −0.0677014 + 0.0326033i
\(405\) 2.51089 + 3.14855i 0.124767 + 0.156453i
\(406\) −2.25906 9.89759i −0.112115 0.491209i
\(407\) −3.45204 + 15.1244i −0.171111 + 0.749688i
\(408\) 2.10992 + 2.64575i 0.104456 + 0.130984i
\(409\) 1.16003 + 1.45463i 0.0573598 + 0.0719269i 0.809684 0.586866i \(-0.199639\pi\)
−0.752324 + 0.658793i \(0.771067\pi\)
\(410\) 1.61596 7.07997i 0.0798064 0.349655i
\(411\) 1.23878 + 5.42746i 0.0611047 + 0.267717i
\(412\) 1.41454 + 1.77378i 0.0696895 + 0.0873879i
\(413\) 8.91939 4.29535i 0.438894 0.211360i
\(414\) −16.0477 + 7.72818i −0.788702 + 0.379819i
\(415\) −0.113269 0.496262i −0.00556014 0.0243606i
\(416\) −2.43333 + 3.05130i −0.119304 + 0.149602i
\(417\) 2.43416 + 1.17223i 0.119201 + 0.0574043i
\(418\) −9.73825 + 12.2114i −0.476313 + 0.597278i
\(419\) 3.67414 16.0974i 0.179493 0.786411i −0.802371 0.596826i \(-0.796428\pi\)
0.981864 0.189586i \(-0.0607145\pi\)
\(420\) 0.134375 0.0647116i 0.00655683 0.00315760i
\(421\) −4.89277 + 21.4366i −0.238459 + 1.04476i 0.703938 + 0.710261i \(0.251423\pi\)
−0.942397 + 0.334496i \(0.891434\pi\)
\(422\) 0.949886 + 0.457441i 0.0462397 + 0.0222679i
\(423\) 30.6504 1.49027
\(424\) −9.37867 −0.455468
\(425\) 10.5429 + 5.07718i 0.511405 + 0.246279i
\(426\) −0.207751 0.910216i −0.0100656 0.0441001i
\(427\) 6.85086 + 8.59070i 0.331536 + 0.415733i
\(428\) −0.0854576 + 0.107160i −0.00413075 + 0.00517980i
\(429\) −1.52004 −0.0733883
\(430\) −0.861076 + 4.45544i −0.0415248 + 0.214861i
\(431\) 19.1884 0.924271 0.462136 0.886809i \(-0.347083\pi\)
0.462136 + 0.886809i \(0.347083\pi\)
\(432\) 4.68784 5.87837i 0.225544 0.282823i
\(433\) 8.60872 + 10.7950i 0.413709 + 0.518774i 0.944404 0.328789i \(-0.106640\pi\)
−0.530695 + 0.847563i \(0.678069\pi\)
\(434\) 2.87113 + 12.5793i 0.137819 + 0.603824i
\(435\) 1.33513 + 0.642963i 0.0640144 + 0.0308277i
\(436\) −6.09783 −0.292033
\(437\) −29.5773 −1.41488
\(438\) −1.98911 0.957907i −0.0950436 0.0457706i
\(439\) −2.66152 + 11.6609i −0.127028 + 0.556544i 0.870857 + 0.491536i \(0.163564\pi\)
−0.997885 + 0.0650079i \(0.979293\pi\)
\(440\) 3.29105 1.58489i 0.156895 0.0755565i
\(441\) −3.21648 + 14.0923i −0.153166 + 0.671063i
\(442\) −3.06770 + 3.84678i −0.145916 + 0.182973i
\(443\) 13.3545 + 6.43119i 0.634492 + 0.305555i 0.723342 0.690490i \(-0.242605\pi\)
−0.0888504 + 0.996045i \(0.528319\pi\)
\(444\) 0.887395 1.11276i 0.0421139 0.0528092i
\(445\) 0.183825 + 0.805389i 0.00871413 + 0.0381791i
\(446\) −26.8925 + 12.9508i −1.27340 + 0.613236i
\(447\) 1.10388 0.531598i 0.0522115 0.0251437i
\(448\) 7.52930 + 9.44145i 0.355726 + 0.446066i
\(449\) 4.31431 + 18.9022i 0.203605 + 0.892052i 0.968720 + 0.248158i \(0.0798252\pi\)
−0.765114 + 0.643894i \(0.777318\pi\)
\(450\) 3.64795 15.9827i 0.171966 0.753432i
\(451\) −14.1250 17.7122i −0.665119 0.834033i
\(452\) 5.23945 + 6.57006i 0.246443 + 0.309030i
\(453\) 1.84697 8.09211i 0.0867782 0.380200i
\(454\) −1.46801 6.43177i −0.0688971 0.301858i
\(455\) 0.742799 + 0.931441i 0.0348230 + 0.0436666i
\(456\) 7.09299 3.41580i 0.332160 0.159960i
\(457\) −19.3872 + 9.33636i −0.906893 + 0.436737i −0.828374 0.560176i \(-0.810734\pi\)
−0.0785194 + 0.996913i \(0.525019\pi\)
\(458\) 4.24632 + 18.6043i 0.198417 + 0.869323i
\(459\) −4.01507 + 5.03473i −0.187407 + 0.235001i
\(460\) 1.13437 + 0.546286i 0.0528905 + 0.0254707i
\(461\) 20.7344 26.0001i 0.965696 1.21094i −0.0117875 0.999931i \(-0.503752\pi\)
0.977483 0.211014i \(-0.0676764\pi\)
\(462\) −0.361740 + 1.58489i −0.0168297 + 0.0737356i
\(463\) 15.8192 7.61811i 0.735179 0.354043i −0.0285400 0.999593i \(-0.509086\pi\)
0.763719 + 0.645549i \(0.223371\pi\)
\(464\) −3.88769 + 17.0331i −0.180482 + 0.790741i
\(465\) −1.69687 0.817168i −0.0786903 0.0378952i
\(466\) 31.9517 1.48013
\(467\) −15.8398 −0.732980 −0.366490 0.930422i \(-0.619441\pi\)
−0.366490 + 0.930422i \(0.619441\pi\)
\(468\) −1.77748 0.855989i −0.0821640 0.0395681i
\(469\) −2.22952 9.76817i −0.102950 0.451052i
\(470\) 4.71983 + 5.91848i 0.217710 + 0.272999i
\(471\) 3.67092 4.60318i 0.169147 0.212103i
\(472\) −22.2446 −1.02389
\(473\) 9.19202 + 10.7662i 0.422650 + 0.495030i
\(474\) 1.15883 0.0532270
\(475\) 16.9731 21.2837i 0.778781 0.976561i
\(476\) −0.939001 1.17747i −0.0430390 0.0539693i
\(477\) −1.91789 8.40285i −0.0878144 0.384740i
\(478\) −7.48523 3.60470i −0.342366 0.164875i
\(479\) 28.5652 1.30518 0.652590 0.757712i \(-0.273683\pi\)
0.652590 + 0.757712i \(0.273683\pi\)
\(480\) −0.609252 −0.0278084
\(481\) 10.2431 + 4.93281i 0.467045 + 0.224917i
\(482\) 0.722521 3.16557i 0.0329099 0.144188i
\(483\) −2.77359 + 1.33569i −0.126203 + 0.0607761i
\(484\) −0.627802 + 2.75058i −0.0285364 + 0.125026i
\(485\) −5.23341 + 6.56248i −0.237637 + 0.297987i
\(486\) 12.3312 + 5.93841i 0.559356 + 0.269372i
\(487\) 1.16756 1.46408i 0.0529073 0.0663437i −0.754674 0.656100i \(-0.772205\pi\)
0.807581 + 0.589757i \(0.200776\pi\)
\(488\) −5.49396 24.0706i −0.248700 1.08963i
\(489\) 4.19687 2.02110i 0.189789 0.0913975i
\(490\) −3.21648 + 1.54898i −0.145306 + 0.0699756i
\(491\) −18.2268 22.8557i −0.822565 1.03146i −0.998889 0.0471321i \(-0.984992\pi\)
0.176323 0.984332i \(-0.443580\pi\)
\(492\) 0.462500 + 2.02635i 0.0208511 + 0.0913547i
\(493\) 3.32975 14.5886i 0.149964 0.657037i
\(494\) 7.13669 + 8.94913i 0.321095 + 0.402640i
\(495\) 2.09299 + 2.62453i 0.0940729 + 0.117964i
\(496\) 4.94103 21.6480i 0.221859 0.972026i
\(497\) 0.507960 + 2.22552i 0.0227851 + 0.0998281i
\(498\) −0.317372 0.397972i −0.0142218 0.0178335i
\(499\) −22.4650 + 10.8186i −1.00567 + 0.484305i −0.862859 0.505445i \(-0.831328\pi\)
−0.142811 + 0.989750i \(0.545614\pi\)
\(500\) −2.15668 + 1.03860i −0.0964496 + 0.0464477i
\(501\) −1.44235 6.31936i −0.0644396 0.282328i
\(502\) −5.16719 + 6.47946i −0.230623 + 0.289192i
\(503\) −38.0942 18.3452i −1.69854 0.817973i −0.994132 0.108176i \(-0.965499\pi\)
−0.704407 0.709797i \(-0.748787\pi\)
\(504\) −7.22737 + 9.06283i −0.321932 + 0.403691i
\(505\) 0.419091 1.83616i 0.0186493 0.0817080i
\(506\) −12.3644 + 5.95439i −0.549666 + 0.264705i
\(507\) 1.03952 4.55445i 0.0461669 0.202270i
\(508\) −2.00269 0.964444i −0.0888549 0.0427903i
\(509\) −18.1153 −0.802946 −0.401473 0.915871i \(-0.631502\pi\)
−0.401473 + 0.915871i \(0.631502\pi\)
\(510\) −0.768086 −0.0340114
\(511\) 4.86347 + 2.34212i 0.215147 + 0.103609i
\(512\) −5.54945 24.3137i −0.245253 1.07453i
\(513\) 9.34063 + 11.7128i 0.412399 + 0.517132i
\(514\) −1.09299 + 1.37057i −0.0482097 + 0.0604531i
\(515\) −2.82908 −0.124664
\(516\) −0.331241 1.25583i −0.0145821 0.0552849i
\(517\) 23.6155 1.03861
\(518\) 7.58091 9.50616i 0.333086 0.417677i
\(519\) −2.43900 3.05841i −0.107060 0.134249i
\(520\) −0.595679 2.60984i −0.0261222 0.114449i
\(521\) −1.13610 0.547119i −0.0497736 0.0239697i 0.408831 0.912610i \(-0.365936\pi\)
−0.458605 + 0.888640i \(0.651651\pi\)
\(522\) −20.9638 −0.917559
\(523\) 36.9788 1.61697 0.808485 0.588516i \(-0.200288\pi\)
0.808485 + 0.588516i \(0.200288\pi\)
\(524\) −7.18814 3.46162i −0.314015 0.151222i
\(525\) 0.630490 2.76236i 0.0275168 0.120559i
\(526\) −3.53199 + 1.70092i −0.154002 + 0.0741635i
\(527\) −4.23191 + 18.5412i −0.184345 + 0.807669i
\(528\) 1.74429 2.18727i 0.0759105 0.0951888i
\(529\) −2.69202 1.29641i −0.117044 0.0563656i
\(530\) 1.32722 1.66429i 0.0576509 0.0722920i
\(531\) −4.54892 19.9301i −0.197406 0.864893i
\(532\) −3.15668 + 1.52018i −0.136859 + 0.0659080i
\(533\) −14.9584 + 7.20358i −0.647919 + 0.312021i
\(534\) 0.515065 + 0.645872i 0.0222891 + 0.0279496i
\(535\) −0.0380322 0.166630i −0.00164428 0.00720404i
\(536\) −5.00969 + 21.9489i −0.216386 + 0.948047i
\(537\) −5.93900 7.44727i −0.256287 0.321373i
\(538\) 8.96309 + 11.2394i 0.386426 + 0.484563i
\(539\) −2.47823 + 10.8578i −0.106745 + 0.467680i
\(540\) −0.141908 0.621738i −0.00610673 0.0267554i
\(541\) −0.305290 0.382822i −0.0131254 0.0164588i 0.775225 0.631685i \(-0.217636\pi\)
−0.788351 + 0.615226i \(0.789065\pi\)
\(542\) −15.0063 + 7.22667i −0.644577 + 0.310412i
\(543\) −10.5586 + 5.08476i −0.453113 + 0.218208i
\(544\) 1.36898 + 5.99788i 0.0586944 + 0.257157i
\(545\) 4.74094 5.94495i 0.203080 0.254654i
\(546\) 1.07338 + 0.516911i 0.0459363 + 0.0221217i
\(547\) −7.53617 + 9.45006i −0.322223 + 0.404055i −0.916390 0.400287i \(-0.868911\pi\)
0.594167 + 0.804342i \(0.297482\pi\)
\(548\) −1.23878 + 5.42746i −0.0529182 + 0.231850i
\(549\) 20.4426 9.84466i 0.872471 0.420160i
\(550\) 2.81067 12.3143i 0.119847 0.525085i
\(551\) −31.3642 15.1042i −1.33616 0.643460i
\(552\) 6.91723 0.294417
\(553\) −2.83340 −0.120488
\(554\) 14.9107 + 7.18059i 0.633493 + 0.305074i
\(555\) 0.394928 + 1.73029i 0.0167638 + 0.0734468i
\(556\) 1.68449 + 2.11228i 0.0714382 + 0.0895807i
\(557\) 25.8369 32.3985i 1.09475 1.37277i 0.173022 0.984918i \(-0.444647\pi\)
0.921723 0.387849i \(-0.126782\pi\)
\(558\) 26.6437 1.12792
\(559\) 9.19119 4.81180i 0.388746 0.203517i
\(560\) −2.19269 −0.0926579
\(561\) −1.49396 + 1.87337i −0.0630750 + 0.0790936i
\(562\) 12.3753 + 15.5182i 0.522021 + 0.654594i
\(563\) 3.61745 + 15.8491i 0.152457 + 0.667959i 0.992166 + 0.124923i \(0.0398683\pi\)
−0.839709 + 0.543036i \(0.817275\pi\)
\(564\) −1.95204 0.940054i −0.0821958 0.0395834i
\(565\) −10.4789 −0.440850
\(566\) −29.6534 −1.24642
\(567\) −8.87143 4.27225i −0.372565 0.179418i
\(568\) 1.14138 5.00069i 0.0478910 0.209824i
\(569\) −28.5248 + 13.7368i −1.19582 + 0.575877i −0.922481 0.386041i \(-0.873842\pi\)
−0.273338 + 0.961918i \(0.588128\pi\)
\(570\) −0.397616 + 1.74207i −0.0166543 + 0.0729674i
\(571\) 9.91252 12.4299i 0.414826 0.520175i −0.529889 0.848067i \(-0.677767\pi\)
0.944715 + 0.327891i \(0.106338\pi\)
\(572\) −1.36951 0.659521i −0.0572621 0.0275760i
\(573\) 2.41119 3.02354i 0.100729 0.126310i
\(574\) 3.95108 + 17.3108i 0.164915 + 0.722540i
\(575\) 21.5504 10.3781i 0.898714 0.432798i
\(576\) 22.4671 10.8196i 0.936129 0.450816i
\(577\) 9.87598 + 12.3841i 0.411142 + 0.515556i 0.943684 0.330847i \(-0.107335\pi\)
−0.532542 + 0.846404i \(0.678763\pi\)
\(578\) −2.99127 13.1056i −0.124420 0.545122i
\(579\) −0.204103 + 0.894234i −0.00848223 + 0.0371631i
\(580\) 0.923936 + 1.15858i 0.0383643 + 0.0481074i
\(581\) 0.775987 + 0.973057i 0.0321934 + 0.0403692i
\(582\) −1.86778 + 8.18328i −0.0774220 + 0.339208i
\(583\) −1.47770 6.47421i −0.0612000 0.268135i
\(584\) −7.56249 9.48306i −0.312938 0.392412i
\(585\) 2.21648 1.06740i 0.0916402 0.0441316i
\(586\) 14.2567 6.86565i 0.588938 0.283617i
\(587\) 6.72252 + 29.4533i 0.277468 + 1.21567i 0.900982 + 0.433855i \(0.142847\pi\)
−0.623514 + 0.781812i \(0.714296\pi\)
\(588\) 0.637063 0.798852i 0.0262720 0.0329441i
\(589\) 39.8620 + 19.1965i 1.64249 + 0.790980i
\(590\) 3.14795 3.94740i 0.129599 0.162512i
\(591\) −0.0452695 + 0.198338i −0.00186214 + 0.00815855i
\(592\) −18.8523 + 9.07881i −0.774827 + 0.373137i
\(593\) −6.13049 + 26.8594i −0.251749 + 1.10298i 0.678079 + 0.734989i \(0.262813\pi\)
−0.929828 + 0.367995i \(0.880044\pi\)
\(594\) 6.26271 + 3.01596i 0.256962 + 0.123746i
\(595\) 1.87800 0.0769906
\(596\) 1.22521 0.0501865
\(597\) −0.827593 0.398548i −0.0338711 0.0163115i
\(598\) 2.23795 + 9.80512i 0.0915168 + 0.400961i
\(599\) −9.64042 12.0887i −0.393897 0.493931i 0.544853 0.838532i \(-0.316586\pi\)
−0.938749 + 0.344601i \(0.888014\pi\)
\(600\) −3.96950 + 4.97760i −0.162054 + 0.203210i
\(601\) 3.03684 0.123875 0.0619376 0.998080i \(-0.480272\pi\)
0.0619376 + 0.998080i \(0.480272\pi\)
\(602\) −2.82975 10.7284i −0.115332 0.437257i
\(603\) −20.6896 −0.842547
\(604\) 5.17510 6.48936i 0.210572 0.264048i
\(605\) −2.19351 2.75058i −0.0891790 0.111827i
\(606\) −0.419091 1.83616i −0.0170244 0.0745888i
\(607\) −4.81647 2.31949i −0.195495 0.0941452i 0.333575 0.942723i \(-0.391745\pi\)
−0.529070 + 0.848578i \(0.677459\pi\)
\(608\) 14.3123 0.580440
\(609\) −3.62325 −0.146822
\(610\) 5.04892 + 2.43143i 0.204425 + 0.0984457i
\(611\) 3.85109 16.8727i 0.155799 0.682598i
\(612\) −2.80194 + 1.34934i −0.113262 + 0.0545439i
\(613\) 1.93320 8.46989i 0.0780811 0.342096i −0.920765 0.390117i \(-0.872434\pi\)
0.998846 + 0.0480216i \(0.0152916\pi\)
\(614\) −14.1426 + 17.7342i −0.570748 + 0.715695i
\(615\) −2.33513 1.12454i −0.0941614 0.0453457i
\(616\) −5.56853 + 6.98272i −0.224363 + 0.281342i
\(617\) 3.87196 + 16.9642i 0.155879 + 0.682952i 0.991109 + 0.133051i \(0.0424774\pi\)
−0.835230 + 0.549901i \(0.814665\pi\)
\(618\) −2.54892 + 1.22749i −0.102532 + 0.0493770i
\(619\) 2.33028 1.12220i 0.0936619 0.0451052i −0.386466 0.922304i \(-0.626304\pi\)
0.480128 + 0.877198i \(0.340590\pi\)
\(620\) −1.17427 1.47248i −0.0471597 0.0591364i
\(621\) 2.92908 + 12.8331i 0.117540 + 0.514975i
\(622\) 2.02111 8.85505i 0.0810390 0.355055i
\(623\) −1.25936 1.57918i −0.0504551 0.0632686i
\(624\) −1.27831 1.60295i −0.0511732 0.0641692i
\(625\) −4.55615 + 19.9618i −0.182246 + 0.798473i
\(626\) −5.19806 22.7742i −0.207756 0.910240i
\(627\) 3.47554 + 4.35819i 0.138800 + 0.174049i
\(628\) 5.30463 2.55457i 0.211678 0.101939i
\(629\) 16.1468 7.77587i 0.643813 0.310044i
\(630\) −0.585458 2.56506i −0.0233252 0.102194i
\(631\) −1.76995 + 2.21944i −0.0704605 + 0.0883546i −0.815813 0.578316i \(-0.803710\pi\)
0.745352 + 0.666671i \(0.232281\pi\)
\(632\) 5.73609 + 2.76236i 0.228170 + 0.109881i
\(633\) 0.234603 0.294182i 0.00932461 0.0116927i
\(634\) 0.962632 4.21757i 0.0382310 0.167501i
\(635\) 2.49731 1.20264i 0.0991028 0.0477254i
\(636\) −0.135571 + 0.593977i −0.00537576 + 0.0235527i
\(637\) 7.35354 + 3.54128i 0.291358 + 0.140311i
\(638\) −16.1521 −0.639469
\(639\) 4.71379 0.186475
\(640\) 3.08211 + 1.48426i 0.121831 + 0.0586707i
\(641\) 5.20602 + 22.8091i 0.205626 + 0.900904i 0.967438 + 0.253107i \(0.0814525\pi\)
−0.761813 + 0.647797i \(0.775690\pi\)
\(642\) −0.106564 0.133627i −0.00420574 0.00527383i
\(643\) −18.8388 + 23.6231i −0.742929 + 0.931603i −0.999389 0.0349516i \(-0.988872\pi\)
0.256460 + 0.966555i \(0.417444\pi\)
\(644\) −3.07846 −0.121308
\(645\) 1.48188 + 0.653447i 0.0583489 + 0.0257294i
\(646\) 18.0435 0.709914
\(647\) −26.3342 + 33.0221i −1.03531 + 1.29823i −0.0818670 + 0.996643i \(0.526088\pi\)
−0.953438 + 0.301588i \(0.902483\pi\)
\(648\) 13.7947 + 17.2980i 0.541907 + 0.679530i
\(649\) −3.50484 15.3557i −0.137577 0.602765i
\(650\) −8.33997 4.01632i −0.327121 0.157533i
\(651\) 4.60494 0.180482
\(652\) 4.65817 0.182428
\(653\) 1.32736 + 0.639221i 0.0519434 + 0.0250146i 0.459675 0.888087i \(-0.347966\pi\)
−0.407732 + 0.913102i \(0.633680\pi\)
\(654\) 1.69202 7.41323i 0.0661633 0.289880i
\(655\) 8.96346 4.31657i 0.350231 0.168663i
\(656\) 6.79954 29.7908i 0.265478 1.16313i
\(657\) 6.94989 8.71488i 0.271141 0.340000i
\(658\) −16.6761 8.03076i −0.650100 0.313072i
\(659\) −9.86257 + 12.3673i −0.384191 + 0.481760i −0.935895 0.352280i \(-0.885407\pi\)
0.551704 + 0.834040i \(0.313978\pi\)
\(660\) −0.0528022 0.231342i −0.00205532 0.00900496i
\(661\) −8.28328 + 3.98902i −0.322182 + 0.155155i −0.587983 0.808873i \(-0.700078\pi\)
0.265801 + 0.964028i \(0.414364\pi\)
\(662\) −15.6332 + 7.52854i −0.607601 + 0.292605i
\(663\) 1.09485 + 1.37290i 0.0425205 + 0.0533190i
\(664\) −0.622293 2.72645i −0.0241497 0.105807i
\(665\) 0.972189 4.25944i 0.0376999 0.165174i
\(666\) −15.6543 19.6299i −0.606591 0.760641i
\(667\) −19.0707 23.9139i −0.738420 0.925949i
\(668\) 1.44235 6.31936i 0.0558063 0.244504i
\(669\) 2.37047 + 10.3857i 0.0916476 + 0.401535i
\(670\) −3.18598 3.99509i −0.123085 0.154344i
\(671\) 15.7506 7.58510i 0.608046 0.292820i
\(672\) 1.34213 0.646334i 0.0517736 0.0249329i
\(673\) −8.03856 35.2193i −0.309864 1.35760i −0.854727 0.519078i \(-0.826276\pi\)
0.544863 0.838525i \(-0.316582\pi\)
\(674\) 2.37382 2.97668i 0.0914362 0.114657i
\(675\) −10.9155 5.25663i −0.420138 0.202328i
\(676\) 2.91268 3.65239i 0.112026 0.140476i
\(677\) −2.27210 + 9.95473i −0.0873240 + 0.382591i −0.999638 0.0268996i \(-0.991437\pi\)
0.912314 + 0.409491i \(0.134294\pi\)
\(678\) −9.44116 + 4.54662i −0.362585 + 0.174612i
\(679\) 4.56680 20.0085i 0.175258 0.767855i
\(680\) −3.80194 1.83092i −0.145798 0.0702125i
\(681\) −2.35450 −0.0902247
\(682\) 20.5284 0.786073
\(683\) −24.7059 11.8977i −0.945345 0.455254i −0.103293 0.994651i \(-0.532938\pi\)
−0.842052 + 0.539397i \(0.818652\pi\)
\(684\) 1.60992 + 7.05350i 0.0615567 + 0.269697i
\(685\) −4.32826 5.42746i −0.165374 0.207373i
\(686\) 12.8271 16.0846i 0.489739 0.614114i
\(687\) 6.81056 0.259839
\(688\) −3.62319 + 18.7474i −0.138133 + 0.714738i
\(689\) −4.86666 −0.185405
\(690\) −0.978894 + 1.22749i −0.0372658 + 0.0467299i
\(691\) −13.1664 16.5101i −0.500872 0.628074i 0.465554 0.885020i \(-0.345855\pi\)
−0.966426 + 0.256946i \(0.917284\pi\)
\(692\) −0.870469 3.81378i −0.0330903 0.144978i
\(693\) −7.39493 3.56121i −0.280910 0.135279i
\(694\) −17.9879 −0.682812
\(695\) −3.36898 −0.127793
\(696\) 7.33513 + 3.53241i 0.278037 + 0.133896i
\(697\) −5.82371 + 25.5153i −0.220589 + 0.966462i
\(698\) 31.8940 15.3594i 1.20721 0.581360i
\(699\) 2.53750 11.1175i 0.0959771 0.420503i
\(700\) 1.76659 2.21524i 0.0667710 0.0837282i
\(701\) 0.209480 + 0.100880i 0.00791195 + 0.00381019i 0.437836 0.899055i \(-0.355745\pi\)
−0.429924 + 0.902865i \(0.641460\pi\)
\(702\) 3.17613 3.98274i 0.119875 0.150319i
\(703\) −9.27748 40.6473i −0.349907 1.53304i
\(704\) 17.3104 8.33626i 0.652411 0.314185i
\(705\) 2.43416 1.17223i 0.0916756 0.0441487i
\(706\) 10.5861 + 13.2746i 0.398414 + 0.499595i
\(707\) 1.02470 + 4.48948i 0.0385376 + 0.168844i
\(708\) −0.321552 + 1.40881i −0.0120847 + 0.0529464i
\(709\) 11.1645 + 13.9998i 0.419292 + 0.525775i 0.945955 0.324299i \(-0.105128\pi\)
−0.526663 + 0.850074i \(0.676557\pi\)
\(710\) 0.725873 + 0.910216i 0.0272415 + 0.0341598i
\(711\) −1.30194 + 5.70416i −0.0488265 + 0.213923i
\(712\) 1.00993 + 4.42477i 0.0378486 + 0.165825i
\(713\) 24.2377 + 30.3931i 0.907710 + 1.13823i
\(714\) 1.69202 0.814835i 0.0633223 0.0304944i
\(715\) 1.70775 0.822410i 0.0638663 0.0307564i
\(716\) −2.11960 9.28660i −0.0792134 0.347056i
\(717\) −1.84870 + 2.31820i −0.0690409 + 0.0865746i
\(718\) −36.8364 17.7395i −1.37472 0.662031i
\(719\) −3.95444 + 4.95870i −0.147476 + 0.184928i −0.850082 0.526650i \(-0.823448\pi\)
0.702607 + 0.711578i \(0.252019\pi\)
\(720\) −1.00753 + 4.41429i −0.0375485 + 0.164511i
\(721\) 6.23221 3.00127i 0.232100 0.111773i
\(722\) 4.06853 17.8254i 0.151415 0.663393i
\(723\) −1.04407 0.502799i −0.0388295 0.0186993i
\(724\) −11.7192 −0.435539
\(725\) 28.1521 1.04554
\(726\) −3.16972 1.52646i −0.117639 0.0566521i
\(727\) 2.27077 + 9.94891i 0.0842184 + 0.368985i 0.999422 0.0340079i \(-0.0108272\pi\)
−0.915203 + 0.402993i \(0.867970\pi\)
\(728\) 4.08091 + 5.11730i 0.151249 + 0.189660i
\(729\) −10.5278 + 13.2015i −0.389919 + 0.488943i
\(730\) 2.75302 0.101894
\(731\) 3.10321 16.0569i 0.114776 0.593885i
\(732\) −1.60388 −0.0592809
\(733\) −3.01842 + 3.78498i −0.111488 + 0.139801i −0.834444 0.551092i \(-0.814211\pi\)
0.722957 + 0.690894i \(0.242783\pi\)
\(734\) −19.8233 24.8577i −0.731693 0.917514i
\(735\) 0.283520 + 1.24218i 0.0104578 + 0.0458186i
\(736\) 11.3300 + 5.45626i 0.417631 + 0.201120i
\(737\) −15.9409 −0.587191
\(738\) 36.6655 1.34967
\(739\) −22.0797 10.6330i −0.812215 0.391142i −0.0188003 0.999823i \(-0.505985\pi\)
−0.793415 + 0.608681i \(0.791699\pi\)
\(740\) −0.394928 + 1.73029i −0.0145178 + 0.0636068i
\(741\) 3.68060 1.77249i 0.135210 0.0651139i
\(742\) −1.15817 + 5.07427i −0.0425177 + 0.186282i
\(743\) −15.9544 + 20.0061i −0.585309 + 0.733954i −0.983008 0.183562i \(-0.941237\pi\)
0.397699 + 0.917516i \(0.369809\pi\)
\(744\) −9.32251 4.48948i −0.341780 0.164593i
\(745\) −0.952575 + 1.19449i −0.0348996 + 0.0437628i
\(746\) 7.64861 + 33.5108i 0.280036 + 1.22692i
\(747\) 2.31551 1.11509i 0.0847201 0.0407991i
\(748\) −2.15883 + 1.03964i −0.0789348 + 0.0380130i
\(749\) 0.260553 + 0.326723i 0.00952040 + 0.0119382i
\(750\) −0.664210 2.91010i −0.0242535 0.106262i
\(751\) −4.87047 + 21.3389i −0.177726 + 0.778668i 0.804951 + 0.593341i \(0.202192\pi\)
−0.982677 + 0.185327i \(0.940666\pi\)
\(752\) 19.8599 + 24.9035i 0.724215 + 0.908137i
\(753\) 1.84415 + 2.31249i 0.0672046 + 0.0842719i
\(754\) −2.63401 + 11.5403i −0.0959249 + 0.420274i
\(755\) 2.30313 + 10.0907i 0.0838196 + 0.367238i
\(756\) 0.972189 + 1.21909i 0.0353582 + 0.0443377i
\(757\) 25.6102 12.3332i 0.930819 0.448259i 0.0938976 0.995582i \(-0.470067\pi\)
0.836921 + 0.547323i \(0.184353\pi\)
\(758\) 31.6368 15.2355i 1.14910 0.553378i
\(759\) 1.08987 + 4.77505i 0.0395600 + 0.173323i
\(760\) −6.12080 + 7.67524i −0.222025 + 0.278410i
\(761\) 26.4964 + 12.7600i 0.960494 + 0.462550i 0.847353 0.531029i \(-0.178195\pi\)
0.113141 + 0.993579i \(0.463909\pi\)
\(762\) 1.72819 2.16709i 0.0626058 0.0785052i
\(763\) −4.13706 + 18.1257i −0.149772 + 0.656193i
\(764\) 3.48427 1.67794i 0.126056 0.0607056i
\(765\) 0.862937 3.78077i 0.0311995 0.136694i
\(766\) 32.1579 + 15.4864i 1.16191 + 0.559548i
\(767\) −11.5429 −0.416789
\(768\) −4.50066 −0.162404
\(769\) −17.2763 8.31982i −0.622999 0.300020i 0.0956272 0.995417i \(-0.469514\pi\)
−0.718626 + 0.695397i \(0.755229\pi\)
\(770\) −0.451083 1.97632i −0.0162559 0.0712217i
\(771\) 0.390084 + 0.489150i 0.0140485 + 0.0176163i
\(772\) −0.571884 + 0.717120i −0.0205826 + 0.0258097i
\(773\)