Properties

Label 43.2.e.a.11.1
Level $43$
Weight $2$
Character 43.11
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 11.1
Root \(0.222521 + 0.974928i\) of defining polynomial
Character \(\chi\) \(=\) 43.11
Dual form 43.2.e.a.4.1

$q$-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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6 q - 5 q^{2} + 2 q^{3} + 5 q^{4} - 3 q^{5} - 4 q^{6} - 7 q^{8} - q^{9} + O(q^{10}) \) \( 6 q - 5 q^{2} + 2 q^{3} + 5 q^{4} - 3 q^{5} - 4 q^{6} - 7 q^{8} - q^{9} - q^{10} - 10 q^{11} + 4 q^{12} + 5 q^{13} - 7 q^{14} - q^{15} + 11 q^{16} - 4 q^{17} + 9 q^{18} + 2 q^{19} + q^{20} + 7 q^{21} + 6 q^{22} + q^{23} + 7 q^{24} - 4 q^{25} + 11 q^{26} - 4 q^{27} - 7 q^{28} + 6 q^{29} + 2 q^{30} - 6 q^{31} - 15 q^{32} + 13 q^{33} - 6 q^{34} - 2 q^{36} - 14 q^{37} - 11 q^{38} - 3 q^{39} + 7 q^{40} + 2 q^{41} - 14 q^{42} - 13 q^{43} - 20 q^{44} + 4 q^{45} + 5 q^{46} + 17 q^{47} + 6 q^{48} - 14 q^{49} + 8 q^{50} - 6 q^{51} + 3 q^{52} - 2 q^{53} + 15 q^{54} + 5 q^{55} - 11 q^{57} - 12 q^{58} + 12 q^{59} + 5 q^{60} + 12 q^{61} + 33 q^{62} + 15 q^{64} + 29 q^{65} - 5 q^{66} - 18 q^{67} + 6 q^{68} - 16 q^{69} + 26 q^{71} - 14 q^{72} - 9 q^{73} + 15 q^{75} + 4 q^{76} + 28 q^{77} - q^{78} - 20 q^{79} - 30 q^{80} - 24 q^{81} + 10 q^{82} + 20 q^{83} - 12 q^{85} - 23 q^{86} - 12 q^{87} - 7 q^{88} + 11 q^{89} - 8 q^{90} - 14 q^{91} + 2 q^{92} - 44 q^{93} - 27 q^{94} - 15 q^{95} + 9 q^{96} + 28 q^{97} + 21 q^{98} - 10 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{7}\right)\)

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 0.426867 0.904314i \(-0.359617\pi\)
−0.976628 + 0.214936i \(0.931046\pi\)
\(3\) 0.277479 0.347948i 0.160203 0.200888i −0.695251 0.718767i \(-0.744707\pi\)
0.855454 + 0.517879i \(0.173278\pi\)
\(4\) 0.0990311 0.433884i 0.0495156 0.216942i
\(5\) −0.500000 + 0.240787i −0.223607 + 0.107683i −0.542334 0.840163i \(-0.682459\pi\)
0.318727 + 0.947847i \(0.396745\pi\)
\(6\) −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 0.994271 + 0.106890i \(0.0340894\pi\)
−0.849429 + 0.527703i \(0.823053\pi\)
\(12\) −0.123490 0.154851i −0.0356484 0.0447017i
\(13\) −1.42543 + 0.686450i −0.395342 + 0.190387i −0.620984 0.783824i \(-0.713267\pi\)
0.225641 + 0.974211i \(0.427552\pi\)
\(14\) −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 0.141078 0.989998i \(-0.454943\pi\)
−0.686051 + 0.727553i \(0.740657\pi\)
\(18\) 2.17845 2.73169i 0.513465 0.643865i
\(19\) 1.29105 5.65647i 0.296188 1.29768i −0.579566 0.814925i \(-0.696778\pi\)
0.875754 0.482758i \(-0.160365\pi\)
\(20\) 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 −0.944096 0.329670i \(-0.893062\pi\)
0.707563 0.706651i \(-0.249795\pi\)
\(24\) −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 0.301938 0.953327i \(-0.402366\pi\)
−0.996613 + 0.0822327i \(0.973795\pi\)
\(30\) 0.277479 0.133627i 0.0506605 0.0243968i
\(31\) 4.75451 + 5.96197i 0.853936 + 1.07080i 0.996710 + 0.0810462i \(0.0258261\pi\)
−0.142775 + 0.989755i \(0.545602\pi\)
\(32\) 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 0.959031 + 0.283302i \(0.0914300\pi\)
0.0627950 + 0.998026i \(0.479999\pi\)
\(42\) −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 −0.410265 0.911966i \(-0.634564\pi\)
0.765324 0.643646i \(-0.222579\pi\)
\(48\) 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 0.614434 0.788969i \(-0.289385\pi\)
−0.233747 + 0.972297i \(0.575099\pi\)
\(54\) −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 0.809720 0.586816i \(-0.199619\pi\)
0.0460606 + 0.998939i \(0.485333\pi\)
\(60\) 0.0990311 + 0.0476909i 0.0127849 + 0.00615687i
\(61\) 5.04892 6.33114i 0.646448 0.810620i −0.345345 0.938476i \(-0.612238\pi\)
0.991793 + 0.127856i \(0.0408096\pi\)
\(62\) 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 0.769752 + 0.638343i \(0.220380\pi\)
−0.970489 + 0.241144i \(0.922477\pi\)
\(68\) −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 −0.947844 0.318735i \(-0.896742\pi\)
0.992272 + 0.124084i \(0.0395993\pi\)
\(72\) −5.32640 6.67909i −0.627722 0.787138i
\(73\) 3.58426 1.72609i 0.419506 0.202023i −0.212209 0.977224i \(-0.568066\pi\)
0.631715 + 0.775201i \(0.282351\pi\)
\(74\) 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 −0.749454 0.662056i \(-0.769684\pi\)
0.812226 + 0.583342i \(0.198255\pi\)
\(84\) −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 −0.828585 0.559864i \(-0.810853\pi\)
0.730204 + 0.683229i \(0.239425\pi\)
\(90\) −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 0.795426 + 0.606051i \(0.207247\pi\)
−0.453699 + 0.891155i \(0.649896\pi\)
\(98\) 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 −0.923359 0.383937i \(-0.874568\pi\)
0.998502 + 0.0547150i \(0.0174250\pi\)
\(102\) 1.24698 + 0.600514i 0.123469 + 0.0594597i
\(103\) 4.59299 + 2.21187i 0.452561 + 0.217942i 0.646257 0.763120i \(-0.276333\pi\)
−0.193696 + 0.981062i \(0.562048\pi\)
\(104\) 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 −0.772463 0.635060i \(-0.780976\pi\)
0.791027 + 0.611782i \(0.209547\pi\)
\(108\) 0.716480 0.898438i 0.0689433 0.0864522i
\(109\) −3.04892 13.3582i −0.292033 1.27948i −0.881691 0.471828i \(-0.843594\pi\)
0.589657 0.807654i \(-0.299263\pi\)
\(110\) −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 0.999588 0.0286911i \(-0.00913393\pi\)
0.600801 + 0.799398i \(0.294848\pi\)
\(114\) −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 0.624228 0.781243i \(-0.285414\pi\)
−0.900559 + 0.434734i \(0.856842\pi\)
\(128\) −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 −0.974458 0.224571i \(-0.927902\pi\)
−0.00210326 0.999998i \(-0.500669\pi\)
\(132\) 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 0.114697 0.993400i \(-0.463410\pi\)
0.848184 + 0.529701i \(0.177696\pi\)
\(138\) 0.629531 + 2.75815i 0.0535892 + 0.234790i
\(139\) 5.46950 + 2.63397i 0.463917 + 0.223411i 0.651216 0.758892i \(-0.274259\pi\)
−0.187299 + 0.982303i \(0.559973\pi\)
\(140\) 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 0.993802 0.111161i \(-0.0354569\pi\)
−0.943616 + 0.331042i \(0.892600\pi\)
\(150\) 1.62349 2.03579i 0.132557 0.166222i
\(151\) −11.6283 + 14.5815i −0.946300 + 1.18662i 0.0360077 + 0.999352i \(0.488536\pi\)
−0.982308 + 0.187272i \(0.940036\pi\)
\(152\) 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 0.710531 + 0.703666i \(0.248455\pi\)
−0.945476 + 0.325693i \(0.894402\pi\)
\(158\) 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 0.980470 + 0.196668i \(0.0630120\pi\)
−0.798042 + 0.602602i \(0.794131\pi\)
\(164\) 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 −0.866148 0.499787i \(-0.833412\pi\)
−0.149285 + 0.988794i \(0.547697\pi\)
\(168\) −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 −0.418158 0.908374i \(-0.637324\pi\)
−0.0173811 0.999849i \(-0.505533\pi\)
\(182\) 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 0.855540 + 0.517736i \(0.173225\pi\)
−0.995453 + 0.0952590i \(0.969632\pi\)
\(192\) −0.881355 3.86147i −0.0636063 0.278677i
\(193\) 1.28501 1.61135i 0.0924972 0.115988i −0.733429 0.679766i \(-0.762081\pi\)
0.825926 + 0.563778i \(0.190653\pi\)
\(194\) 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 −0.771575 0.636139i \(-0.780531\pi\)
0.791881 + 0.610676i \(0.209102\pi\)
\(198\) 6.79590 + 3.27273i 0.482963 + 0.232583i
\(199\) −1.85958 0.895529i −0.131822 0.0634823i 0.366810 0.930296i \(-0.380450\pi\)
−0.498632 + 0.866814i \(0.666164\pi\)
\(200\) 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 −0.980991 0.194054i \(-0.937836\pi\)
0.968039 + 0.250800i \(0.0806935\pi\)
\(212\) 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 0.462602 0.886566i \(-0.346916\pi\)
0.981573 + 0.191088i \(0.0612014\pi\)
\(224\) 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 0.660220 0.751073i \(-0.270463\pi\)
−0.879154 + 0.476537i \(0.841892\pi\)
\(228\) −1.03534 + 0.498595i −0.0685673 + 0.0330203i
\(229\) 9.54138 + 11.9645i 0.630512 + 0.790638i 0.989781 0.142597i \(-0.0455452\pi\)
−0.359268 + 0.933234i \(0.616974\pi\)
\(230\) 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 −0.0982699 + 0.995160i \(0.531331\pi\)
−0.948342 + 0.317250i \(0.897241\pi\)
\(234\) −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 −0.904076 0.427371i \(-0.859440\pi\)
0.999974 + 0.00721601i \(0.00229695\pi\)
\(240\) −0.448394 + 0.562269i −0.0289437 + 0.0362943i
\(241\) −2.34601 1.12978i −0.151120 0.0727755i 0.356795 0.934183i \(-0.383869\pi\)
−0.507915 + 0.861407i \(0.669584\pi\)
\(242\) −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 −0.344513 0.938782i \(-0.611956\pi\)
0.519169 + 0.854672i \(0.326242\pi\)
\(264\) −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 0.990939 + 0.134312i \(0.0428825\pi\)
−0.834529 + 0.550964i \(0.814260\pi\)
\(270\) 1.11410 + 1.39703i 0.0678018 + 0.0850207i
\(271\) 12.0341 5.79534i 0.731022 0.352042i −0.0310638 0.999517i \(-0.509890\pi\)
0.762086 + 0.647476i \(0.224175\pi\)
\(272\) −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 0.805362 + 0.592783i \(0.201971\pi\)
−0.982805 + 0.184645i \(0.940886\pi\)
\(278\) −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 0.963690 + 0.267025i \(0.0860406\pi\)
−0.752397 + 0.658710i \(0.771102\pi\)
\(282\) −1.35086 + 5.91848i −0.0804422 + 0.352441i
\(283\) 14.8267 18.5921i 0.881355 1.10518i −0.112407 0.993662i \(-0.535856\pi\)
0.993762 0.111522i \(-0.0355727\pi\)
\(284\) −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 −0.736937 0.675962i \(-0.763728\pi\)
0.0690159 + 0.997616i \(0.478014\pi\)
\(294\) 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 0.238468 0.971150i \(-0.423355\pi\)
−0.610593 + 0.791944i \(0.709069\pi\)
\(312\) −0.477697 2.09293i −0.0270443 0.118489i
\(313\) −11.6799 14.6462i −0.660189 0.827851i 0.333175 0.942865i \(-0.391880\pi\)
−0.993364 + 0.115014i \(0.963309\pi\)
\(314\) 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 0.344043 0.938954i \(-0.388203\pi\)
−0.519597 + 0.854412i \(0.673918\pi\)
\(318\) −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 −0.0563612 0.998410i \(-0.517950\pi\)
0.745448 + 0.666564i \(0.232236\pi\)
\(332\) −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 −0.479437 0.877576i \(-0.659159\pi\)
0.962258 + 0.272138i \(0.0877306\pi\)
\(348\) −0.264438 + 1.15858i −0.0141754 + 0.0621063i
\(349\) −25.5770 + 12.3172i −1.36911 + 0.659327i −0.966647 0.256111i \(-0.917559\pi\)
−0.402459 + 0.915438i \(0.631845\pi\)
\(350\) 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 0.989304 + 0.145869i \(0.0465976\pi\)
−0.828042 + 0.560666i \(0.810545\pi\)
\(354\) −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 −0.296277 0.955102i \(-0.595745\pi\)
0.681339 0.731968i \(-0.261398\pi\)
\(360\) 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 −0.875795 0.482684i \(-0.839662\pi\)
0.579635 0.814876i \(-0.303195\pi\)
\(368\) 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 0.992633 + 0.121158i \(0.0386607\pi\)
−0.102762 + 0.994706i \(0.532768\pi\)
\(374\) −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 −0.951249 0.308423i \(-0.900199\pi\)
−0.351959 + 0.936015i \(0.614484\pi\)
\(380\) 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 0.502239 + 0.864729i \(0.332510\pi\)
−0.827693 + 0.561181i \(0.810347\pi\)
\(384\) −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 0.906437 + 0.422340i \(0.138791\pi\)
0.210050 + 0.977691i \(0.432637\pi\)
\(390\) −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 0.355933 0.934512i \(-0.384163\pi\)
−0.508710 + 0.860938i \(0.669878\pi\)
\(398\) 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 0.445486 0.895289i \(-0.353031\pi\)
−0.971972 + 0.235096i \(0.924459\pi\)
\(402\) 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 −0.752324 0.658793i \(-0.771067\pi\)
0.809684 + 0.586866i \(0.199639\pi\)
\(410\) 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 0.981864 + 0.189586i \(0.0607145\pi\)
−0.802371 + 0.596826i \(0.796428\pi\)
\(420\) 0.134375 + 0.0647116i 0.00655683 + 0.00315760i
\(421\) −4.89277 21.4366i −0.238459 1.04476i −0.942397 0.334496i \(-0.891434\pi\)
0.703938 0.710261i \(-0.251423\pi\)
\(422\) 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 −0.530695 0.847563i \(-0.678069\pi\)
0.944404 + 0.328789i \(0.106640\pi\)
\(434\) 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 −0.997885 0.0650079i \(-0.979293\pi\)
0.870857 0.491536i \(-0.163564\pi\)
\(440\) 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 −0.0888504 0.996045i \(-0.528319\pi\)
0.723342 + 0.690490i \(0.242605\pi\)
\(444\) 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 −0.765114 0.643894i \(-0.777318\pi\)
0.968720 0.248158i \(-0.0798252\pi\)
\(450\) 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 −0.0785194 0.996913i \(-0.525019\pi\)
−0.828374 + 0.560176i \(0.810734\pi\)
\(458\) 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 0.977483 + 0.211014i \(0.0676764\pi\)
−0.0117875 + 0.999931i \(0.503752\pi\)
\(462\) −0.361740 1.58489i −0.0168297 0.0737356i
\(463\) 15.8192 + 7.61811i 0.735179 + 0.354043i 0.763719 0.645549i \(-0.223371\pi\)
−0.0285400 + 0.999593i \(0.509086\pi\)
\(464\) −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 0.807581 0.589757i \(-0.200776\pi\)
−0.754674 + 0.656100i \(0.772205\pi\)
\(488\) −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 0.176323 + 0.984332i \(0.443580\pi\)
−0.998889 + 0.0471321i \(0.984992\pi\)
\(492\) 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 −0.142811 0.989750i \(-0.545614\pi\)
−0.862859 + 0.505445i \(0.831328\pi\)
\(500\) −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 −0.704407 + 0.709797i \(0.748787\pi\)
−0.994132 + 0.108176i \(0.965499\pi\)
\(504\) −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 −0.458605 0.888640i \(-0.651651\pi\)
0.408831 + 0.912610i \(0.365936\pi\)
\(522\) −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 −0.788351 0.615226i \(-0.789065\pi\)
0.775225 + 0.631685i \(0.217636\pi\)
\(542\) −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 0.594167 0.804342i \(-0.297482\pi\)
−0.916390 + 0.400287i \(0.868911\pi\)
\(548\) −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 0.921723 + 0.387849i \(0.126782\pi\)
0.173022 + 0.984918i \(0.444647\pi\)
\(558\) 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 −0.839709 0.543036i \(-0.817275\pi\)
0.992166 0.124923i \(-0.0398683\pi\)
\(564\) −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 −0.273338 0.961918i \(-0.588128\pi\)
−0.922481 + 0.386041i \(0.873842\pi\)
\(570\) −0.397616 1.74207i −0.0166543 0.0729674i
\(571\) 9.91252 + 12.4299i 0.414826 + 0.520175i 0.944715 0.327891i \(-0.106338\pi\)
−0.529889 + 0.848067i \(0.677767\pi\)
\(572\) −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 −0.532542 0.846404i \(-0.678763\pi\)
0.943684 + 0.330847i \(0.107335\pi\)
\(578\) −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 −0.623514 0.781812i \(-0.714296\pi\)
0.900982 0.433855i \(-0.142847\pi\)
\(588\) 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 −0.929828 0.367995i \(-0.880044\pi\)
0.678079 0.734989i \(-0.262813\pi\)
\(594\) 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 −0.938749 0.344601i \(-0.888014\pi\)
0.544853 + 0.838532i \(0.316586\pi\)
\(600\) −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 −0.529070 0.848578i \(-0.677459\pi\)
0.333575 + 0.942723i \(0.391745\pi\)
\(608\) 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 0.998846 0.0480216i \(-0.0152916\pi\)
−0.920765 + 0.390117i \(0.872434\pi\)
\(614\) −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 −0.835230 0.549901i \(-0.814665\pi\)
0.991109 0.133051i \(-0.0424774\pi\)
\(618\) −2.54892 1.22749i −0.102532 0.0493770i
\(619\) 2.33028 + 1.12220i 0.0936619 + 0.0451052i 0.480128 0.877198i \(-0.340590\pi\)
−0.386466 + 0.922304i \(0.626304\pi\)
\(620\) −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 0.745352 0.666671i \(-0.232281\pi\)
−0.815813 + 0.578316i \(0.803710\pi\)
\(632\) 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 −0.761813 0.647797i \(-0.775690\pi\)
0.967438 0.253107i \(-0.0814525\pi\)
\(642\) −0.106564 + 0.133627i −0.00420574 + 0.00527383i
\(643\) −18.8388 23.6231i −0.742929 0.931603i 0.256460 0.966555i \(-0.417444\pi\)
−0.999389 + 0.0349516i \(0.988872\pi\)
\(644\) −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 −0.953438 0.301588i \(-0.902483\pi\)
−0.0818670 0.996643i \(-0.526088\pi\)
\(648\) 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 −0.407732 0.913102i \(-0.633680\pi\)
0.459675 + 0.888087i \(0.347966\pi\)
\(654\) 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 0.551704 0.834040i \(-0.313978\pi\)
−0.935895 + 0.352280i \(0.885407\pi\)
\(660\) −0.0528022 + 0.231342i −0.00205532 + 0.00900496i
\(661\) −8.28328 3.98902i −0.322182 0.155155i 0.265801 0.964028i \(-0.414364\pi\)
−0.587983 + 0.808873i \(0.700078\pi\)
\(662\) −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 0.544863 + 0.838525i \(0.316582\pi\)
−0.854727 + 0.519078i \(0.826276\pi\)
\(674\) 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 0.912314 0.409491i \(-0.134294\pi\)
−0.999638 + 0.0268996i \(0.991437\pi\)
\(678\) −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 −0.842052 0.539397i \(-0.818652\pi\)
−0.103293 + 0.994651i \(0.532938\pi\)
\(684\) 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 −0.966426 0.256946i \(-0.917284\pi\)
0.465554 + 0.885020i \(0.345855\pi\)
\(692\) −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 −0.429924 0.902865i \(-0.641460\pi\)
0.437836 + 0.899055i \(0.355745\pi\)
\(702\) 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 −0.526663 0.850074i \(-0.676557\pi\)
0.945955 + 0.324299i \(0.105128\pi\)
\(710\) 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 0.702607 0.711578i \(-0.252019\pi\)
−0.850082 + 0.526650i \(0.823448\pi\)
\(720\) −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 −0.915203 0.402993i \(-0.867970\pi\)
0.999422 + 0.0340079i \(0.0108272\pi\)
\(728\) 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 0.722957 0.690894i \(-0.242783\pi\)
−0.834444 + 0.551092i \(0.814211\pi\)
\(734\) −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 −0.793415 0.608681i \(-0.791699\pi\)
−0.0188003 + 0.999823i \(0.505985\pi\)
\(740\) −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 0.397699 0.917516i \(-0.369809\pi\)
−0.983008 + 0.183562i \(0.941237\pi\)
\(744\) −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 −0.982677 0.185327i \(-0.940666\pi\)
0.804951 0.593341i \(-0.202192\pi\)
\(752\) 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 0.836921 0.547323i \(-0.184353\pi\)
0.0938976 + 0.995582i \(0.470067\pi\)
\(758\) 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 0.113141 0.993579i \(-0.463909\pi\)
0.847353 + 0.531029i \(0.178195\pi\)
\(762\) 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 −0.718626 0.695397i \(-0.755229\pi\)
0.0956272 + 0.995417i \(0.469514\pi\)
\(770\) −0.451083 + 1.97632i −0.0162559 + 0.0712217i
\(771\) 0.390084 0.489150i 0.0140485 0.0176163i
\(772\) −0.571884 0.717120i −0.0205826