Properties

Label 224.3.v.b.69.14
Level 224
Weight 3
Character 224.69
Analytic conductor 6.104
Analytic rank 0
Dimension 240
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 224.v (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.10355792167\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(60\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 69.14
Character \(\chi\) \(=\) 224.69
Dual form 224.3.v.b.13.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.46638 - 1.36005i) q^{2} +(1.65755 - 0.686579i) q^{3} +(0.300514 + 3.98870i) q^{4} +(-0.205220 + 0.495445i) q^{5} +(-3.36437 - 1.24757i) q^{6} +(-6.99733 - 0.193440i) q^{7} +(4.98417 - 6.25764i) q^{8} +(-4.08789 + 4.08789i) q^{9} +O(q^{10})\) \(q+(-1.46638 - 1.36005i) q^{2} +(1.65755 - 0.686579i) q^{3} +(0.300514 + 3.98870i) q^{4} +(-0.205220 + 0.495445i) q^{5} +(-3.36437 - 1.24757i) q^{6} +(-6.99733 - 0.193440i) q^{7} +(4.98417 - 6.25764i) q^{8} +(-4.08789 + 4.08789i) q^{9} +(0.974760 - 0.447398i) q^{10} +(-3.44988 + 8.32874i) q^{11} +(3.23667 + 6.40513i) q^{12} +(1.31375 + 3.17168i) q^{13} +(9.99762 + 9.80039i) q^{14} +0.962123i q^{15} +(-15.8194 + 2.39732i) q^{16} -28.1178 q^{17} +(11.5541 - 0.434636i) q^{18} +(-12.1154 - 29.2491i) q^{19} +(-2.03785 - 0.669672i) q^{20} +(-11.7312 + 4.48358i) q^{21} +(16.3863 - 7.52104i) q^{22} +(-11.0067 + 11.0067i) q^{23} +(3.96514 - 13.7944i) q^{24} +(17.4743 + 17.4743i) q^{25} +(2.38720 - 6.43765i) q^{26} +(-10.1484 + 24.5005i) q^{27} +(-1.33122 - 27.9683i) q^{28} +(6.55469 + 15.8244i) q^{29} +(1.30854 - 1.41083i) q^{30} +31.5457i q^{31} +(26.4576 + 17.9998i) q^{32} +16.1739i q^{33} +(41.2313 + 38.2417i) q^{34} +(1.53183 - 3.42709i) q^{35} +(-17.5338 - 15.0769i) q^{36} +(39.9500 + 16.5478i) q^{37} +(-22.0146 + 59.3677i) q^{38} +(4.35522 + 4.35522i) q^{39} +(2.07746 + 3.75357i) q^{40} +(-53.7822 - 53.7822i) q^{41} +(23.3003 + 9.38046i) q^{42} +(8.17552 - 19.7375i) q^{43} +(-34.2575 - 11.2576i) q^{44} +(-1.18641 - 2.86424i) q^{45} +(31.1097 - 1.17027i) q^{46} +30.9029 q^{47} +(-24.5754 + 14.8349i) q^{48} +(48.9252 + 2.70713i) q^{49} +(-1.85792 - 49.3899i) q^{50} +(-46.6066 + 19.3051i) q^{51} +(-12.2561 + 6.19330i) q^{52} +(-38.3091 + 92.4864i) q^{53} +(48.2033 - 22.1245i) q^{54} +(-3.41845 - 3.41845i) q^{55} +(-36.0863 + 42.8226i) q^{56} +(-40.1636 - 40.1636i) q^{57} +(11.9104 - 32.1193i) q^{58} +(36.8703 - 89.0128i) q^{59} +(-3.83762 + 0.289132i) q^{60} +(-80.8660 + 33.4958i) q^{61} +(42.9039 - 46.2579i) q^{62} +(29.3950 - 27.8135i) q^{63} +(-14.3161 - 62.3783i) q^{64} -1.84100 q^{65} +(21.9974 - 23.7170i) q^{66} +(-4.47349 - 10.8000i) q^{67} +(-8.44980 - 112.153i) q^{68} +(-10.6872 + 25.8012i) q^{69} +(-6.90726 + 2.94203i) q^{70} +(-63.6100 - 63.6100i) q^{71} +(5.20580 + 45.9552i) q^{72} +(35.2117 + 35.2117i) q^{73} +(-36.0757 - 78.5993i) q^{74} +(40.9620 + 16.9670i) q^{75} +(113.025 - 57.1143i) q^{76} +(25.7510 - 57.6116i) q^{77} +(-0.463060 - 12.3097i) q^{78} -66.1357i q^{79} +(2.05871 - 8.32961i) q^{80} -4.45189i q^{81} +(5.71828 + 152.012i) q^{82} +(-30.0604 - 72.5721i) q^{83} +(-21.4090 - 45.4449i) q^{84} +(5.77034 - 13.9308i) q^{85} +(-38.8324 + 17.8234i) q^{86} +(21.7294 + 21.7294i) q^{87} +(34.9235 + 63.0999i) q^{88} +(23.6564 - 23.6564i) q^{89} +(-2.15580 + 5.81362i) q^{90} +(-8.57924 - 22.4474i) q^{91} +(-47.2102 - 40.5948i) q^{92} +(21.6586 + 52.2886i) q^{93} +(-45.3152 - 42.0296i) q^{94} +16.9776 q^{95} +(56.2131 + 11.6703i) q^{96} +115.260i q^{97} +(-68.0608 - 70.5105i) q^{98} +(-19.9442 - 48.1496i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 8q^{2} - 8q^{4} - 4q^{7} - 8q^{8} - 8q^{9} + O(q^{10}) \) \( 240q - 8q^{2} - 8q^{4} - 4q^{7} - 8q^{8} - 8q^{9} - 8q^{11} + 12q^{14} - 112q^{16} - 176q^{18} - 4q^{21} - 192q^{22} + 128q^{23} - 8q^{25} + 56q^{28} - 8q^{29} - 16q^{30} - 8q^{32} + 92q^{35} + 192q^{36} - 8q^{37} - 8q^{39} - 424q^{42} + 128q^{43} - 16q^{44} - 8q^{46} - 320q^{50} - 80q^{51} - 192q^{53} + 608q^{56} - 8q^{57} - 712q^{58} + 264q^{60} + 496q^{63} - 272q^{64} - 16q^{65} + 304q^{67} + 320q^{70} + 504q^{71} - 8q^{72} + 232q^{74} + 164q^{77} + 560q^{78} - 1000q^{84} - 208q^{85} - 8q^{86} - 800q^{88} + 188q^{91} + 1560q^{92} + 64q^{93} - 16q^{95} - 376q^{98} + 64q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{1}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.46638 1.36005i −0.733188 0.680026i
\(3\) 1.65755 0.686579i 0.552516 0.228860i −0.0889164 0.996039i \(-0.528340\pi\)
0.641433 + 0.767179i \(0.278340\pi\)
\(4\) 0.300514 + 3.98870i 0.0751285 + 0.997174i
\(5\) −0.205220 + 0.495445i −0.0410440 + 0.0990890i −0.943072 0.332588i \(-0.892078\pi\)
0.902028 + 0.431677i \(0.142078\pi\)
\(6\) −3.36437 1.24757i −0.560729 0.207928i
\(7\) −6.99733 0.193440i −0.999618 0.0276343i
\(8\) 4.98417 6.25764i 0.623021 0.782205i
\(9\) −4.08789 + 4.08789i −0.454209 + 0.454209i
\(10\) 0.974760 0.447398i 0.0974760 0.0447398i
\(11\) −3.44988 + 8.32874i −0.313625 + 0.757158i 0.685940 + 0.727658i \(0.259391\pi\)
−0.999565 + 0.0294996i \(0.990609\pi\)
\(12\) 3.23667 + 6.40513i 0.269723 + 0.533761i
\(13\) 1.31375 + 3.17168i 0.101058 + 0.243976i 0.966320 0.257345i \(-0.0828477\pi\)
−0.865262 + 0.501321i \(0.832848\pi\)
\(14\) 9.99762 + 9.80039i 0.714116 + 0.700028i
\(15\) 0.962123i 0.0641416i
\(16\) −15.8194 + 2.39732i −0.988711 + 0.149832i
\(17\) −28.1178 −1.65399 −0.826995 0.562210i \(-0.809951\pi\)
−0.826995 + 0.562210i \(0.809951\pi\)
\(18\) 11.5541 0.434636i 0.641895 0.0241464i
\(19\) −12.1154 29.2491i −0.637651 1.53943i −0.829801 0.558060i \(-0.811546\pi\)
0.192149 0.981366i \(1.56155\pi\)
\(20\) −2.03785 0.669672i −0.101892 0.0334836i
\(21\) −11.7312 + 4.48358i −0.558629 + 0.213504i
\(22\) 16.3863 7.52104i 0.744833 0.341866i
\(23\) −11.0067 + 11.0067i −0.478553 + 0.478553i −0.904669 0.426115i \(-0.859882\pi\)
0.426115 + 0.904669i \(0.359882\pi\)
\(24\) 3.96514 13.7944i 0.165214 0.574765i
\(25\) 17.4743 + 17.4743i 0.698973 + 0.698973i
\(26\) 2.38720 6.43765i 0.0918153 0.247602i
\(27\) −10.1484 + 24.5005i −0.375867 + 0.907424i
\(28\) −1.33122 27.9683i −0.0475436 0.998869i
\(29\) 6.55469 + 15.8244i 0.226024 + 0.545670i 0.995687 0.0927808i \(-0.0295756\pi\)
−0.769663 + 0.638451i \(0.779576\pi\)
\(30\) 1.30854 1.41083i 0.0436179 0.0470278i
\(31\) 31.5457i 1.01760i 0.860883 + 0.508802i \(0.169912\pi\)
−0.860883 + 0.508802i \(0.830088\pi\)
\(32\) 26.4576 + 17.9998i 0.826801 + 0.562494i
\(33\) 16.1739i 0.490118i
\(34\) 41.2313 + 38.2417i 1.21268 + 1.12476i
\(35\) 1.53183 3.42709i 0.0437666 0.0979169i
\(36\) −17.5338 15.0769i −0.487050 0.418802i
\(37\) 39.9500 + 16.5478i 1.07973 + 0.447238i 0.850414 0.526114i \(-0.176352\pi\)
0.229314 + 0.973352i \(0.426352\pi\)
\(38\) −22.0146 + 59.3677i −0.579332 + 1.56231i
\(39\) 4.35522 + 4.35522i 0.111672 + 0.111672i
\(40\) 2.07746 + 3.75357i 0.0519366 + 0.0938393i
\(41\) −53.7822 53.7822i −1.31176 1.31176i −0.920116 0.391645i \(-0.871906\pi\)
−0.391645 0.920116i \(1.37191\pi\)
\(42\) 23.3003 + 9.38046i 0.554769 + 0.223344i
\(43\) 8.17552 19.7375i 0.190128 0.459011i −0.799855 0.600193i \(-0.795090\pi\)
0.989984 + 0.141182i \(0.0450904\pi\)
\(44\) −34.2575 11.2576i −0.778580 0.255855i
\(45\) −1.18641 2.86424i −0.0263646 0.0636497i
\(46\) 31.1097 1.17027i 0.676298 0.0254406i
\(47\) 30.9029 0.657508 0.328754 0.944416i \(-0.393371\pi\)
0.328754 + 0.944416i \(0.393371\pi\)
\(48\) −24.5754 + 14.8349i −0.511988 + 0.309061i
\(49\) 48.9252 + 2.70713i 0.998473 + 0.0552475i
\(50\) −1.85792 49.3899i −0.0371584 0.987798i
\(51\) −46.6066 + 19.3051i −0.913856 + 0.378531i
\(52\) −12.2561 + 6.19330i −0.235694 + 0.119102i
\(53\) −38.3091 + 92.4864i −0.722814 + 1.74503i −0.0576410 + 0.998337i \(0.518358\pi\)
−0.665173 + 0.746689i \(0.731642\pi\)
\(54\) 48.2033 22.1245i 0.892654 0.409713i
\(55\) −3.41845 3.41845i −0.0621536 0.0621536i
\(56\) −36.0863 + 42.8226i −0.644399 + 0.764690i
\(57\) −40.1636 40.1636i −0.704625 0.704625i
\(58\) 11.9104 32.1193i 0.205352 0.553781i
\(59\) 36.8703 89.0128i 0.624921 1.50869i −0.220940 0.975287i \(-0.570912\pi\)
0.845860 0.533404i \(-0.179088\pi\)
\(60\) −3.83762 + 0.289132i −0.0639603 + 0.00481886i
\(61\) −80.8660 + 33.4958i −1.32567 + 0.549112i −0.929418 0.369029i \(-0.879690\pi\)
−0.396255 + 0.918141i \(0.629690\pi\)
\(62\) 42.9039 46.2579i 0.691998 0.746095i
\(63\) 29.3950 27.8135i 0.466588 0.441484i
\(64\) −14.3161 62.3783i −0.223689 0.974660i
\(65\) −1.84100 −0.0283231
\(66\) 21.9974 23.7170i 0.333293 0.359349i
\(67\) −4.47349 10.8000i −0.0667685 0.161193i 0.886973 0.461821i \(-0.152804\pi\)
−0.953742 + 0.300628i \(0.902804\pi\)
\(68\) −8.44980 112.153i −0.124262 1.64931i
\(69\) −10.6872 + 25.8012i −0.154887 + 0.373930i
\(70\) −6.90726 + 2.94203i −0.0986752 + 0.0420290i
\(71\) −63.6100 63.6100i −0.895916 0.895916i 0.0991558 0.995072i \(-0.468386\pi\)
−0.995072 + 0.0991558i \(0.968386\pi\)
\(72\) 5.20580 + 45.9552i 0.0723028 + 0.638267i
\(73\) 35.2117 + 35.2117i 0.482352 + 0.482352i 0.905882 0.423530i \(-0.139209\pi\)
−0.423530 + 0.905882i \(0.639209\pi\)
\(74\) −36.0757 78.5993i −0.487510 1.06215i
\(75\) 40.9620 + 16.9670i 0.546160 + 0.226227i
\(76\) 113.025 57.1143i 1.48717 0.751504i
\(77\) 25.7510 57.6116i 0.334429 0.748202i
\(78\) −0.463060 12.3097i −0.00593667 0.157817i
\(79\) 66.1357i 0.837161i −0.908180 0.418580i \(-0.862528\pi\)
0.908180 0.418580i \(-0.137472\pi\)
\(80\) 2.05871 8.32961i 0.0257339 0.104120i
\(81\) 4.45189i 0.0549617i
\(82\) 5.71828 + 152.012i 0.0697352 + 1.85380i
\(83\) −30.0604 72.5721i −0.362173 0.874363i −0.994982 0.100055i \(-0.968098\pi\)
0.632809 0.774308i \(1.71810\pi\)
\(84\) −21.4090 45.4449i −0.254869 0.541010i
\(85\) 5.77034 13.9308i 0.0678863 0.163892i
\(86\) −38.8324 + 17.8234i −0.451539 + 0.207249i
\(87\) 21.7294 + 21.7294i 0.249764 + 0.249764i
\(88\) 34.9235 + 63.0999i 0.396858 + 0.717045i
\(89\) 23.6564 23.6564i 0.265802 0.265802i −0.561604 0.827406i \(-0.689816\pi\)
0.827406 + 0.561604i \(0.189816\pi\)
\(90\) −2.15580 + 5.81362i −0.0239533 + 0.0645958i
\(91\) −8.57924 22.4474i −0.0942773 0.246675i
\(92\) −47.2102 40.5948i −0.513154 0.441248i
\(93\) 21.6586 + 52.2886i 0.232889 + 0.562243i
\(94\) −45.3152 42.0296i −0.482077 0.447123i
\(95\) 16.9776 0.178712
\(96\) 56.2131 + 11.6703i 0.585553 + 0.121566i
\(97\) 115.260i 1.18825i 0.804373 + 0.594124i \(0.202501\pi\)
−0.804373 + 0.594124i \(0.797499\pi\)
\(98\) −68.0608 70.5105i −0.694498 0.719494i
\(99\) −19.9442 48.1496i −0.201457 0.486360i
\(100\) −64.4485 + 74.9510i −0.644485 + 0.749510i
\(101\) −25.3144 + 61.1145i −0.250638 + 0.605094i −0.998256 0.0590355i \(-0.981197\pi\)
0.747618 + 0.664129i \(0.231197\pi\)
\(102\) 94.5988 + 35.0789i 0.927439 + 0.343911i
\(103\) 74.3084 74.3084i 0.721441 0.721441i −0.247457 0.968899i \(-0.579595\pi\)
0.968899 + 0.247457i \(0.0795951\pi\)
\(104\) 26.3952 + 7.58720i 0.253800 + 0.0729539i
\(105\) 0.186113 6.73229i 0.00177251 0.0641171i
\(106\) 181.962 83.5174i 1.71662 0.787900i
\(107\) −9.85914 + 23.8021i −0.0921415 + 0.222449i −0.963231 0.268675i \(-0.913414\pi\)
0.871089 + 0.491125i \(0.163414\pi\)
\(108\) −100.775 33.1162i −0.933098 0.306632i
\(109\) −50.9889 + 21.1203i −0.467788 + 0.193764i −0.604111 0.796900i \(-0.706472\pi\)
0.136323 + 0.990664i \(0.456472\pi\)
\(110\) 0.363459 + 9.66199i 0.00330417 + 0.0878363i
\(111\) 77.5804 0.698922
\(112\) 111.157 13.7147i 0.992474 0.122453i
\(113\) 121.375i 1.07411i −0.843547 0.537056i \(-0.819537\pi\)
0.843547 0.537056i \(-0.180463\pi\)
\(114\) 4.27031 + 113.520i 0.0374589 + 0.995786i
\(115\) −3.19443 7.71203i −0.0277776 0.0670611i
\(116\) −61.1491 + 30.9001i −0.527147 + 0.266381i
\(117\) −18.3360 7.59500i −0.156718 0.0649145i
\(118\) −175.128 + 80.3806i −1.48413 + 0.681192i
\(119\) 196.750 + 5.43911i 1.65336 + 0.0457068i
\(120\) 6.02062 + 4.79539i 0.0501718 + 0.0399615i
\(121\) 28.0937 + 28.0937i 0.232179 + 0.232179i
\(122\) 164.136 + 60.8646i 1.34538 + 0.498890i
\(123\) −126.072 52.2209i −1.02498 0.424560i
\(124\) −125.826 + 9.47994i −1.01473 + 0.0764511i
\(125\) −24.6298 + 10.2020i −0.197038 + 0.0816158i
\(126\) −80.9320 + 0.806261i −0.642317 + 0.00639890i
\(127\) 141.943 1.11766 0.558832 0.829281i \(-0.311250\pi\)
0.558832 + 0.829281i \(0.311250\pi\)
\(128\) −63.8449 + 110.941i −0.498788 + 0.866724i
\(129\) 38.3289i 0.297124i
\(130\) 2.69960 + 2.50386i 0.0207662 + 0.0192605i
\(131\) −109.700 + 45.4394i −0.837408 + 0.346866i −0.759831 0.650121i \(-0.774718\pi\)
−0.0775771 + 0.996986i \(0.524718\pi\)
\(132\) −64.5128 + 4.86048i −0.488733 + 0.0368218i
\(133\) 79.1173 + 207.009i 0.594867 + 1.55646i
\(134\) −8.12869 + 21.9210i −0.0606619 + 0.163589i
\(135\) −10.0560 10.0560i −0.0744886 0.0744886i
\(136\) −140.144 + 175.951i −1.03047 + 1.29376i
\(137\) −132.652 + 132.652i −0.968265 + 0.968265i −0.999512 0.0312472i \(-0.990052\pi\)
0.0312472 + 0.999512i \(0.490052\pi\)
\(138\) 50.7624 23.2991i 0.367843 0.168834i
\(139\) −10.4221 4.31699i −0.0749795 0.0310575i 0.344878 0.938647i \(-0.387920\pi\)
−0.419858 + 0.907590i \(0.637920\pi\)
\(140\) 14.1300 + 5.08011i 0.100928 + 0.0362865i
\(141\) 51.2230 21.2173i 0.363284 0.150477i
\(142\) 6.76321 + 179.789i 0.0476282 + 1.26612i
\(143\) −30.9484 −0.216422
\(144\) 54.8679 74.4678i 0.381027 0.517137i
\(145\) −9.18528 −0.0633468
\(146\) −3.74381 99.5234i −0.0256426 0.681667i
\(147\) 82.9545 29.1038i 0.564316 0.197985i
\(148\) −53.9987 + 164.321i −0.364856 + 1.11028i
\(149\) −29.4428 + 71.0813i −0.197603 + 0.477056i −0.991358 0.131181i \(-0.958123\pi\)
0.793755 + 0.608237i \(0.208123\pi\)
\(150\) −36.9897 80.5905i −0.246598 0.537270i
\(151\) 2.84640 2.84640i 0.0188503 0.0188503i −0.697619 0.716469i \(-0.745757\pi\)
0.716469 + 0.697619i \(0.245757\pi\)
\(152\) −243.415 69.9688i −1.60142 0.460321i
\(153\) 114.942 114.942i 0.751258 0.751258i
\(154\) −116.115 + 49.4574i −0.753996 + 0.321152i
\(155\) −15.6292 6.47382i −0.100833 0.0417666i
\(156\) −16.0628 + 18.6805i −0.102967 + 0.119747i
\(157\) 77.8061 32.2284i 0.495580 0.205276i −0.120872 0.992668i \(-0.538569\pi\)
0.616453 + 0.787392i \(0.288569\pi\)
\(158\) −89.9480 + 96.9798i −0.569291 + 0.613796i
\(159\) 179.603i 1.12958i
\(160\) −14.3476 + 9.41437i −0.0896722 + 0.0588398i
\(161\) 79.1468 74.8885i 0.491595 0.465146i
\(162\) −6.05481 + 6.52815i −0.0373754 + 0.0402972i
\(163\) 76.2598 + 184.107i 0.467851 + 1.12949i 0.965099 + 0.261884i \(0.0843439\pi\)
−0.497248 + 0.867608i \(0.665656\pi\)
\(164\) 198.359 230.683i 1.20950 1.40660i
\(165\) −8.01327 3.31921i −0.0485653 0.0201164i
\(166\) −54.6221 + 147.302i −0.329049 + 0.887359i
\(167\) −114.508 + 114.508i −0.685679 + 0.685679i −0.961274 0.275595i \(-0.911125\pi\)
0.275595 + 0.961274i \(0.411125\pi\)
\(168\) −30.4137 + 95.7567i −0.181034 + 0.569980i
\(169\) 111.167 111.167i 0.657795 0.657795i
\(170\) −27.4081 + 12.5799i −0.161224 + 0.0739992i
\(171\) 169.093 + 70.0407i 0.988849 + 0.409595i
\(172\) 81.1836 + 26.6783i 0.471998 + 0.155106i
\(173\) 27.0967 + 65.4173i 0.156629 + 0.378135i 0.982641 0.185517i \(-0.0593960\pi\)
−0.826013 + 0.563652i \(0.809396\pi\)
\(174\) −2.31034 61.4167i −0.0132778 0.352970i
\(175\) −118.893 125.654i −0.679390 0.718021i
\(176\) 34.6083 140.026i 0.196638 0.795602i
\(177\) 172.857i 0.976596i
\(178\) −66.8631 + 2.51522i −0.375635 + 0.0141304i
\(179\) −222.660 + 92.2287i −1.24391 + 0.515244i −0.904934 0.425551i \(-0.860080\pi\)
−0.338975 + 0.940795i \(0.610080\pi\)
\(180\) 11.0680 5.59295i 0.0614891 0.0310720i
\(181\) −115.333 47.7724i −0.637197 0.263936i 0.0406103 0.999175i \(-0.487070\pi\)
−0.677808 + 0.735239i \(0.737070\pi\)
\(182\) −17.9493 + 44.5846i −0.0986226 + 0.244970i
\(183\) −111.042 + 111.042i −0.606786 + 0.606786i
\(184\) 14.0168 + 123.736i 0.0761780 + 0.672476i
\(185\) −16.3971 + 16.3971i −0.0886327 + 0.0886327i
\(186\) 39.3555 106.132i 0.211589 0.570600i
\(187\) 97.0030 234.186i 0.518732 1.25233i
\(188\) 9.28675 + 123.262i 0.0493976 + 0.655650i
\(189\) 75.7512 169.475i 0.400800 0.896691i
\(190\) −24.8956 23.0905i −0.131029 0.121529i
\(191\) 296.841 1.55414 0.777072 0.629412i \(-0.216704\pi\)
0.777072 + 0.629412i \(0.216704\pi\)
\(192\) −66.5573 93.5659i −0.346652 0.487322i
\(193\) −21.3734 −0.110743 −0.0553715 0.998466i \(-0.517634\pi\)
−0.0553715 + 0.998466i \(0.517634\pi\)
\(194\) 156.760 169.015i 0.808040 0.871209i
\(195\) −3.05155 + 1.26399i −0.0156490 + 0.00648202i
\(196\) 3.90480 + 195.961i 0.0199224 + 0.999802i
\(197\) 199.357 + 82.5765i 1.01197 + 0.419170i 0.826171 0.563419i \(-0.190514\pi\)
0.185794 + 0.982589i \(0.440514\pi\)
\(198\) −36.2403 + 97.7306i −0.183032 + 0.493589i
\(199\) 147.909 147.909i 0.743262 0.743262i −0.229942 0.973204i \(-0.573854\pi\)
0.973204 + 0.229942i \(0.0738536\pi\)
\(200\) 196.443 22.2530i 0.982215 0.111265i
\(201\) −14.8300 14.8300i −0.0737813 0.0737813i
\(202\) 120.239 55.1878i 0.595244 0.273207i
\(203\) −42.8043 111.997i −0.210858 0.551708i
\(204\) −91.0081 180.098i −0.446118 0.882834i
\(205\) 37.6833 15.6089i 0.183821 0.0761411i
\(206\) −210.027 + 7.90069i −1.01955 + 0.0383529i
\(207\) 89.9885i 0.434727i
\(208\) −28.3863 47.0246i −0.136473 0.226080i
\(209\) 285.405 1.36557
\(210\) −9.42918 + 9.61894i −0.0449009 + 0.0458045i
\(211\) −232.947 + 96.4899i −1.10402 + 0.457298i −0.858873 0.512189i \(-0.828835\pi\)
−0.245142 + 0.969487i \(0.578835\pi\)
\(212\) −380.413 125.010i −1.79440 0.589670i
\(213\) −149.110 61.7634i −0.700047 0.289969i
\(214\) 46.8293 21.4938i 0.218828 0.100438i
\(215\) 8.10104 + 8.10104i 0.0376793 + 0.0376793i
\(216\) 102.734 + 185.620i 0.475619 + 0.859350i
\(217\) 6.10221 220.736i 0.0281208 1.01722i
\(218\) 103.494 + 38.3773i 0.474741 + 0.176043i
\(219\) 82.5408 + 34.1895i 0.376899 + 0.156116i
\(220\) 12.6078 14.6624i 0.0573084 0.0666474i
\(221\) −36.9399 89.1808i −0.167149 0.403533i
\(222\) −113.762 105.513i −0.512441 0.475285i
\(223\) 181.874i 0.815577i 0.913076 + 0.407789i \(0.133700\pi\)
−0.913076 + 0.407789i \(0.866300\pi\)
\(224\) −181.651 131.069i −0.810941 0.585128i
\(225\) −142.866 −0.634960
\(226\) −165.076 + 177.981i −0.730424 + 0.787525i
\(227\) −165.104 + 68.3884i −0.727331 + 0.301270i −0.715455 0.698659i \(-0.753780\pi\)
−0.0118763 + 0.999929i \(0.503780\pi\)
\(228\) 148.131 172.270i 0.649696 0.755571i
\(229\) −87.1151 + 210.314i −0.380415 + 0.918403i 0.611470 + 0.791268i \(0.290578\pi\)
−0.991885 + 0.127136i \(0.959422\pi\)
\(230\) −5.80453 + 15.6533i −0.0252371 + 0.0680579i
\(231\) 3.12868 113.174i 0.0135441 0.489931i
\(232\) 131.693 + 37.8547i 0.567643 + 0.163167i
\(233\) −98.6857 + 98.6857i −0.423544 + 0.423544i −0.886422 0.462878i \(-0.846817\pi\)
0.462878 + 0.886422i \(0.346817\pi\)
\(234\) 16.5578 + 36.0750i 0.0707598 + 0.154167i
\(235\) −6.34189 + 15.3107i −0.0269868 + 0.0651518i
\(236\) 366.125 + 120.315i 1.55138 + 0.509809i
\(237\) −45.4074 109.623i −0.191592 0.462545i
\(238\) −281.111 275.565i −1.18114 1.15784i
\(239\) 403.581i 1.68862i 0.535852 + 0.844312i \(0.319991\pi\)
−0.535852 + 0.844312i \(0.680009\pi\)
\(240\) −2.30652 15.2202i −0.00961048 0.0634175i
\(241\) 188.582 0.782499 0.391249 0.920285i \(-0.372043\pi\)
0.391249 + 0.920285i \(0.372043\pi\)
\(242\) −2.98700 79.4048i −0.0123430 0.328119i
\(243\) −94.3924 227.883i −0.388446 0.937792i
\(244\) −157.906 312.484i −0.647156 1.28067i
\(245\) −11.3817 + 23.6842i −0.0464557 + 0.0966700i
\(246\) 113.846 + 248.040i 0.462790 + 1.00829i
\(247\) 76.8522 76.8522i 0.311143 0.311143i
\(248\) 197.402 + 157.229i 0.795975 + 0.633989i
\(249\) −99.6530 99.6530i −0.400213 0.400213i
\(250\) 49.9917 + 18.5378i 0.199967 + 0.0741513i
\(251\) −14.8502 + 35.8515i −0.0591641 + 0.142835i −0.950697 0.310121i \(-0.899630\pi\)
0.891533 + 0.452956i \(0.149630\pi\)
\(252\) 119.773 + 108.889i 0.475291 + 0.432101i
\(253\) −53.7003 129.644i −0.212254 0.512427i
\(254\) −208.142 193.050i −0.819458 0.760041i
\(255\) 27.0528i 0.106089i
\(256\) 244.506 75.8482i 0.955101 0.296282i
\(257\) 86.5403i 0.336733i 0.985725 + 0.168366i \(0.0538491\pi\)
−0.985725 + 0.168366i \(0.946151\pi\)
\(258\) −52.1294 + 56.2046i −0.202052 + 0.217847i
\(259\) −276.342 123.518i −1.06696 0.476905i
\(260\) −0.553247 7.34320i −0.00212787 0.0282431i
\(261\) −91.4833 37.8936i −0.350511 0.145186i
\(262\) 222.662 + 82.5672i 0.849855 + 0.315142i
\(263\) −52.6326 52.6326i −0.200124 0.200124i 0.599929 0.800053i \(-0.295195\pi\)
−0.800053 + 0.599929i \(0.795195\pi\)
\(264\) 101.210 + 80.6134i 0.383373 + 0.305354i
\(265\) −37.9601 37.9601i −0.143246 0.143246i
\(266\) 165.528 411.157i 0.622284 1.54570i
\(267\) 22.9696 55.4536i 0.0860285 0.207691i
\(268\) 41.7334 21.0889i 0.155722 0.0786900i
\(269\) −38.0955 91.9708i −0.141619 0.341899i 0.837116 0.547025i \(-0.184240\pi\)
−0.978736 + 0.205126i \(0.934240\pi\)
\(270\) 1.06918 + 28.4225i 0.00395992 + 0.105268i
\(271\) 60.8458 0.224523 0.112262 0.993679i \(-0.464191\pi\)
0.112262 + 0.993679i \(0.464191\pi\)
\(272\) 444.806 67.4074i 1.63532 0.247821i
\(273\) −29.6324 31.3174i −0.108544 0.114716i
\(274\) 374.932 14.1040i 1.36836 0.0514744i
\(275\) −205.823 + 85.2548i −0.748448 + 0.310017i
\(276\) −106.125 34.8744i −0.384510 0.126356i
\(277\) −159.062 + 384.010i −0.574231 + 1.38632i 0.323691 + 0.946163i \(0.395076\pi\)
−0.897922 + 0.440154i \(0.854924\pi\)
\(278\) 9.41144 + 20.5050i 0.0338541 + 0.0737590i
\(279\) −128.955 128.955i −0.462206 0.462206i
\(280\) −13.8106 26.6668i −0.0493236 0.0952387i
\(281\) −150.559 150.559i −0.535796 0.535796i 0.386495 0.922291i \(-0.373686\pi\)
−0.922291 + 0.386495i \(0.873686\pi\)
\(282\) −103.969 38.5535i −0.368684 0.136715i
\(283\) −157.219 + 379.561i −0.555546 + 1.34121i 0.357715 + 0.933831i \(0.383556\pi\)
−0.913261 + 0.407375i \(0.866444\pi\)
\(284\) 234.605 272.837i 0.826075 0.960693i
\(285\) 28.1412 11.6565i 0.0987412 0.0408999i
\(286\) 45.3820 + 42.0915i 0.158678 + 0.147173i
\(287\) 365.928 + 386.735i 1.27501 + 1.34751i
\(288\) −181.737 + 34.5746i −0.631031 + 0.120051i
\(289\) 501.612 1.73568
\(290\) 13.4691 + 12.4925i 0.0464451 + 0.0430775i
\(291\) 79.1352 + 191.049i 0.271942 + 0.656526i
\(292\) −129.867 + 151.030i −0.444751 + 0.517228i
\(293\) 29.3744 70.9161i 0.100254 0.242035i −0.865792 0.500404i \(-0.833185\pi\)
0.966046 + 0.258369i \(0.0831850\pi\)
\(294\) −161.225 70.1454i −0.548385 0.238590i
\(295\) 36.5344 + 36.5344i 0.123845 + 0.123845i
\(296\) 302.668 167.515i 1.02253 0.565930i
\(297\) −169.047 169.047i −0.569182 0.569182i
\(298\) 139.849 64.1881i 0.469290 0.215396i
\(299\) −49.3700 20.4497i −0.165117 0.0683937i
\(300\) −55.3666 + 168.484i −0.184555 + 0.561613i
\(301\) −61.0248 + 136.528i −0.202740 + 0.453581i
\(302\) −8.04513 + 0.302637i −0.0266395 + 0.00100211i
\(303\) 118.681i 0.391685i
\(304\) 261.777 + 433.658i 0.861109 + 1.42651i
\(305\) 46.9387i 0.153897i
\(306\) −324.876 + 12.2210i −1.06169 + 0.0399379i
\(307\) 45.9600 + 110.957i 0.149707 + 0.361424i 0.980887 0.194579i \(-0.0623341\pi\)
−0.831180 + 0.556003i \(0.812334\pi\)
\(308\) 237.533 + 85.3999i 0.771213 + 0.277272i
\(309\) 72.1512 174.188i 0.233499 0.563717i
\(310\) 14.1135 + 30.7495i 0.0455274 + 0.0991921i
\(311\) −210.911 210.911i −0.678170 0.678170i 0.281416 0.959586i \(-0.409196\pi\)
−0.959586 + 0.281416i \(0.909196\pi\)
\(312\) 48.9606 5.54625i 0.156925 0.0177764i
\(313\) 170.998 170.998i 0.546320 0.546320i −0.379054 0.925374i \(-0.623751\pi\)
0.925374 + 0.379054i \(0.123751\pi\)
\(314\) −157.925 58.5616i −0.502947 0.186502i
\(315\) 7.74761 + 20.2715i 0.0245956 + 0.0643540i
\(316\) 263.795 19.8747i 0.834795 0.0628946i
\(317\) −112.618 271.884i −0.355262 0.857677i −0.995953 0.0898786i \(-0.971352\pi\)
0.640691 0.767799i \(-0.278648\pi\)
\(318\) 244.269 263.365i 0.768143 0.828193i
\(319\) −154.410 −0.484045
\(320\) 33.8429 + 5.70842i 0.105759 + 0.0178388i
\(321\) 46.2222i 0.143994i
\(322\) −217.911 + 2.17088i −0.676743 + 0.00674186i
\(323\) 340.658 + 822.421i 1.05467 + 2.54619i
\(324\) 17.7573 1.33786i 0.0548063 0.00412919i
\(325\) −32.4660 + 78.3800i −0.0998955 + 0.241169i
\(326\) 138.570 373.688i 0.425062 1.14628i
\(327\) −70.0158 + 70.0158i −0.214115 + 0.214115i
\(328\) −604.609 + 68.4901i −1.84332 + 0.208811i
\(329\) −216.238 5.97786i −0.657257 0.0181698i
\(330\) 7.23617 + 15.7657i 0.0219278 + 0.0477748i
\(331\) 43.6250 105.320i 0.131798 0.318187i −0.844180 0.536060i \(-0.819912\pi\)
0.975977 + 0.217873i \(0.0699119\pi\)
\(332\) 280.435 141.711i 0.844682 0.426839i
\(333\) −230.956 + 95.6653i −0.693563 + 0.287283i
\(334\) 323.650 12.1749i 0.969011 0.0364517i
\(335\) 6.26883 0.0187129
\(336\) 174.832 99.0510i 0.520334 0.294795i
\(337\) 176.021i 0.522316i −0.965296 0.261158i \(-0.915896\pi\)
0.965296 0.261158i \(-0.0841044\pi\)
\(338\) −314.207 + 11.8196i −0.929606 + 0.0349694i
\(339\) −83.3332 201.184i −0.245821 0.593464i
\(340\) 57.2999 + 18.8297i 0.168529 + 0.0553815i
\(341\) −262.736 108.829i −0.770487 0.319146i
\(342\) −152.695 332.682i −0.446477 0.972753i
\(343\) −341.822 28.4067i −0.996565 0.0828185i
\(344\) −82.7617 149.534i −0.240586 0.434693i
\(345\) −10.5898 10.5898i −0.0306952 0.0306952i
\(346\) 49.2370 132.779i 0.142303 0.383755i
\(347\) 54.0928 + 22.4060i 0.155887 + 0.0645705i 0.459263 0.888301i \(-0.348114\pi\)
−0.303376 + 0.952871i \(0.598114\pi\)
\(348\) −80.1421 + 93.2021i −0.230293 + 0.267822i
\(349\) 496.264 205.559i 1.42196 0.588995i 0.466607 0.884465i \(-0.345476\pi\)
0.955352 + 0.295470i \(0.0954762\pi\)
\(350\) 3.44649 + 345.957i 0.00984712 + 0.988448i
\(351\) −91.0402 −0.259374
\(352\) −241.191 + 158.262i −0.685203 + 0.449607i
\(353\) 379.228i 1.07430i 0.843487 + 0.537150i \(0.180499\pi\)
−0.843487 + 0.537150i \(0.819501\pi\)
\(354\) −235.095 + 253.474i −0.664111 + 0.716028i
\(355\) 44.5693 18.4612i 0.125547 0.0520034i
\(356\) 101.467 + 87.2490i 0.285020 + 0.245082i
\(357\) 329.856 126.069i 0.923967 0.353133i
\(358\) 451.939 + 167.587i 1.26240 + 0.468120i
\(359\) −39.1210 39.1210i −0.108972 0.108972i 0.650518 0.759491i \(-0.274552\pi\)
−0.759491 + 0.650518i \(0.774552\pi\)
\(360\) −23.8366 6.85174i −0.0662128 0.0190326i
\(361\) −453.462 + 453.462i −1.25613 + 1.25613i
\(362\) 104.148 + 226.911i 0.287702 + 0.626825i
\(363\) 65.8552 + 27.2781i 0.181419 + 0.0751463i
\(364\) 86.9578 40.9657i 0.238895 0.112543i
\(365\) −24.6716 + 10.2193i −0.0675935 + 0.0279981i
\(366\) 313.852 11.8063i 0.857518 0.0322576i
\(367\) −539.970 −1.47131 −0.735654 0.677357i \(-0.763125\pi\)
−0.735654 + 0.677357i \(0.763125\pi\)
\(368\) 147.733 200.506i 0.401448 0.544854i
\(369\) 439.711 1.19163
\(370\) 46.3451 1.74338i 0.125257 0.00471184i
\(371\) 285.952 639.747i 0.770760 1.72439i
\(372\) −202.055 + 102.103i −0.543157 + 0.274471i
\(373\) 109.340 263.969i 0.293136 0.707692i −0.706864 0.707349i \(-0.749891\pi\)
1.00000 0.000342797i \(-0.000109116\pi\)
\(374\) −460.748 + 211.475i −1.23195 + 0.565442i
\(375\) −33.8205 + 33.8205i −0.0901881 + 0.0901881i
\(376\) 154.025 193.379i 0.409642 0.514306i
\(377\) −41.5788 + 41.5788i −0.110289 + 0.110289i
\(378\) −341.574 + 145.488i −0.903635 + 0.384888i
\(379\) −208.851 86.5087i −0.551057 0.228255i 0.0897406 0.995965i \(-0.471396\pi\)
−0.640798 + 0.767710i \(0.721396\pi\)
\(380\) 5.10202 + 67.7186i 0.0134264 + 0.178207i
\(381\) 235.278 97.4553i 0.617528 0.255788i
\(382\) −435.281 403.720i −1.13948 1.05686i
\(383\) 29.8752i 0.0780033i −0.999239 0.0390016i \(-0.987582\pi\)
0.999239 0.0390016i \(-0.0124178\pi\)
\(384\) −29.6565 + 227.724i −0.0772305 + 0.593031i
\(385\) 23.2587 + 24.5812i 0.0604123 + 0.0638474i
\(386\) 31.3414 + 29.0689i 0.0811954 + 0.0753081i
\(387\) 47.2639 + 114.105i 0.122129 + 0.294845i
\(388\) −459.737 + 34.6373i −1.18489 + 0.0892714i
\(389\) −25.8767 10.7185i −0.0665210 0.0275539i 0.349175 0.937058i \(-0.386462\pi\)
−0.415696 + 0.909504i \(0.636462\pi\)
\(390\) 6.19382 + 2.29678i 0.0158816 + 0.00588918i
\(391\) 309.485 309.485i 0.791522 0.791522i
\(392\) 260.791 292.663i 0.665284 0.746590i
\(393\) −150.636 + 150.636i −0.383298 + 0.383298i
\(394\) −180.024 392.224i −0.456914 0.995493i
\(395\) 32.7666 + 13.5724i 0.0829534 + 0.0343604i
\(396\) 186.061 94.0211i 0.469850 0.237427i
\(397\) 42.9450 + 103.678i 0.108174 + 0.261155i 0.968692 0.248265i \(-0.0798602\pi\)
−0.860518 + 0.509419i \(0.829860\pi\)
\(398\) −418.055 + 15.7261i −1.05039 + 0.0395129i
\(399\) 273.269 + 288.807i 0.684884 + 0.723828i
\(400\) −318.324 234.541i −0.795811 0.586354i
\(401\) 69.4239i 0.173127i −0.996246 0.0865635i \(-0.972411\pi\)
0.996246 0.0865635i \(-0.0275885\pi\)
\(402\) 1.57677 + 41.9161i 0.00392232 + 0.104269i
\(403\) −100.053 + 41.4434i −0.248271 + 0.102837i
\(404\) −251.374 82.6058i −0.622214 0.204470i
\(405\) 2.20567 + 0.913617i 0.00544609 + 0.00225585i
\(406\) −89.5542 + 222.445i −0.220577 + 0.547894i
\(407\) −275.645 + 275.645i −0.677260 + 0.677260i
\(408\) −111.491 + 387.867i −0.273262 + 0.950656i
\(409\) −270.737 + 270.737i −0.661949 + 0.661949i −0.955839 0.293890i \(-0.905050\pi\)
0.293890 + 0.955839i \(0.405050\pi\)
\(410\) −76.4868 28.3627i −0.186553 0.0691773i
\(411\) −128.801 + 310.954i −0.313385 + 0.756578i
\(412\) 318.725 + 274.063i 0.773603 + 0.665202i
\(413\) −275.212 + 615.720i −0.666374 + 1.49085i
\(414\) −122.389 + 131.957i −0.295626 + 0.318736i
\(415\) 42.1245 0.101505
\(416\) −22.3309 + 107.563i −0.0536801 + 0.258564i
\(417\) −20.2392 −0.0485352
\(418\) −418.510 388.165i −1.00122 0.928625i
\(419\) −539.644 + 223.528i −1.28793 + 0.533479i −0.918368 0.395727i \(-0.870493\pi\)
−0.369564 + 0.929205i \(0.620493\pi\)
\(420\) 26.9090 1.28080i 0.0640690 0.00304952i
\(421\) 57.3466 + 23.7538i 0.136215 + 0.0564222i 0.449750 0.893155i \(-0.351513\pi\)
−0.313535 + 0.949577i \(0.601513\pi\)
\(422\) 472.819 + 175.330i 1.12043 + 0.415474i
\(423\) −126.327 + 126.327i −0.298646 + 0.298646i
\(424\) 387.808 + 700.693i 0.914641 + 1.65258i
\(425\) −491.340 491.340i −1.15609 1.15609i
\(426\) 134.650 + 293.366i 0.316079 + 0.688652i
\(427\) 572.325 218.738i 1.34034 0.512268i
\(428\) −97.9021 32.1723i −0.228743 0.0751688i
\(429\) −51.2985 + 21.2485i −0.119577 + 0.0495304i
\(430\) −0.861326 22.8970i −0.00200308 0.0532489i
\(431\) 338.786i 0.786046i −0.919529 0.393023i \(-0.871429\pi\)
0.919529 0.393023i \(-0.128571\pi\)
\(432\) 101.806 411.911i 0.235663 0.953498i
\(433\) −812.328 −1.87605 −0.938023 0.346572i \(-0.887346\pi\)
−0.938023 + 0.346572i \(0.887346\pi\)
\(434\) −309.161 + 315.382i −0.712351 + 0.726687i
\(435\) −15.2251 + 6.30642i −0.0350001 + 0.0144975i
\(436\) −99.5652 197.032i −0.228361 0.451908i
\(437\) 455.287 + 188.586i 1.04185 + 0.431547i
\(438\) −74.5362 162.394i −0.170174 0.370764i
\(439\) 86.9687 + 86.9687i 0.198106 + 0.198106i 0.799188 0.601081i \(-0.205263\pi\)
−0.601081 + 0.799188i \(0.705263\pi\)
\(440\) −38.4295 + 4.35329i −0.0873398 + 0.00989385i
\(441\) −211.067 + 188.934i −0.478610 + 0.428422i
\(442\) −67.1228 + 181.013i −0.151862 + 0.409531i
\(443\) 232.178 + 96.1715i 0.524105 + 0.217091i 0.629019 0.777390i \(-0.283457\pi\)
−0.104914 + 0.994481i \(0.533457\pi\)
\(444\) 23.3140 + 309.444i 0.0525090 + 0.696947i
\(445\) 6.86567 + 16.5752i 0.0154285 + 0.0372476i
\(446\) 247.358 266.695i 0.554614 0.597971i
\(447\) 138.035i 0.308804i
\(448\) 88.1081 + 439.250i 0.196670 + 0.980470i
\(449\) 90.2071 0.200907 0.100453 0.994942i \(-0.467971\pi\)
0.100453 + 0.994942i \(0.467971\pi\)
\(450\) 209.495 + 194.305i 0.465545 + 0.431790i
\(451\) 633.480 262.396i 1.40461 0.581809i
\(452\) 484.126 36.4748i 1.07108 0.0806964i
\(453\) 2.76376 6.67231i 0.00610102 0.0147292i
\(454\) 335.116 + 124.267i 0.738142 + 0.273716i
\(455\) 12.8821 + 0.356124i 0.0283123 + 0.000782689i
\(456\) −451.512 + 51.1472i −0.990157 + 0.112165i
\(457\) 590.224 590.224i 1.29152 1.29152i 0.357670 0.933848i \(-0.383571\pi\)
0.933848 0.357670i \(-0.116429\pi\)
\(458\) 413.782 189.919i 0.903454 0.414670i
\(459\) 285.351 688.899i 0.621681 1.50087i
\(460\) 29.8010 15.0592i 0.0647847 0.0327373i
\(461\) 236.086 + 569.962i 0.512117 + 1.23636i 0.942649 + 0.333785i \(0.108326\pi\)
−0.430532 + 0.902575i \(0.641674\pi\)
\(462\) −158.510 + 161.700i −0.343096 + 0.350001i
\(463\) 498.672i 1.07705i 0.842611 + 0.538523i \(0.181018\pi\)
−0.842611 + 0.538523i \(0.818982\pi\)
\(464\) −141.627 234.619i −0.305231 0.505644i
\(465\) −30.3509 −0.0652707
\(466\) 278.928 10.4926i 0.598558 0.0225162i
\(467\) 201.553 + 486.591i 0.431590 + 1.04195i 0.978775 + 0.204939i \(0.0656995\pi\)
−0.547185 + 0.837012i \(0.684300\pi\)
\(468\) 24.7839 75.4189i 0.0529571 0.161152i
\(469\) 29.2133 + 76.4362i 0.0622885 + 0.162977i
\(470\) 30.1229 13.8259i 0.0640913 0.0294168i
\(471\) 106.840 106.840i 0.226837 0.226837i
\(472\) −373.242 674.376i −0.790768 1.42876i
\(473\) 136.184 + 136.184i 0.287915 + 0.287915i
\(474\) −82.5089 + 222.505i −0.174069 + 0.469420i
\(475\) 299.400 722.816i 0.630316 1.52172i
\(476\) 37.4311 + 786.409i 0.0786367 + 1.65212i
\(477\) −221.471 534.677i −0.464299 1.12092i
\(478\) 548.892 591.801i 1.14831 1.23808i
\(479\) 545.400i 1.13862i 0.822122 + 0.569312i \(0.192790\pi\)
−0.822122 + 0.569312i \(0.807210\pi\)
\(480\) −17.3181 + 25.4555i −0.0360793 + 0.0530323i
\(481\) 148.448i 0.308624i
\(482\) −276.532 256.482i −0.573718 0.532120i
\(483\) 79.7728 178.472i 0.165161 0.369507i
\(484\) −103.615 + 120.500i −0.214080 + 0.248966i
\(485\) −57.1050 23.6537i −0.117742 0.0487705i
\(486\) −171.519 + 462.541i −0.352919 + 0.951731i
\(487\) −247.898 247.898i −0.509031 0.509031i 0.405198 0.914229i \(-0.367203\pi\)
−0.914229 + 0.405198i \(0.867203\pi\)
\(488\) −193.445 + 672.979i −0.396404 + 1.37906i
\(489\) 252.808 + 252.808i 0.516991 + 0.516991i
\(490\) 48.9015 19.2502i 0.0997989 0.0392862i
\(491\) −51.4523 + 124.217i −0.104791 + 0.252987i −0.967574 0.252586i \(-0.918719\pi\)
0.862784 + 0.505573i \(0.168719\pi\)
\(492\) 170.407 518.557i 0.346355 1.05398i
\(493\) −184.304 444.948i −0.373841 0.902532i
\(494\) −217.217 + 8.17115i −0.439711 + 0.0165408i
\(495\) 27.9484 0.0564615
\(496\) −75.6252 499.034i −0.152470 1.00612i
\(497\) 432.796 + 457.405i 0.870816 + 0.920332i
\(498\) 10.5954 + 281.662i 0.0212759 + 0.565586i
\(499\) 20.9873 8.69323i 0.0420587 0.0174213i −0.361555 0.932351i \(-0.617754\pi\)
0.403614 + 0.914930i \(0.367754\pi\)
\(500\) −48.0942 95.1748i −0.0961884 0.190350i
\(501\) −111.184 + 268.422i −0.221924 + 0.535773i
\(502\) 70.5359 32.3748i 0.140510 0.0644915i
\(503\) −150.920 150.920i −0.300041 0.300041i 0.540989 0.841030i \(-0.318050\pi\)
−0.841030 + 0.540989i \(0.818050\pi\)
\(504\) −27.5371 322.571i −0.0546372 0.640021i
\(505\) −25.0838 25.0838i −0.0496709 0.0496709i
\(506\) −97.5778 + 263.142i −0.192842 + 0.520043i
\(507\) 107.940 260.591i 0.212900 0.513985i
\(508\) 42.6560 + 566.169i 0.0839685 + 1.11451i
\(509\) 776.403 321.597i 1.52535 0.631821i 0.546695 0.837332i \(-0.315886\pi\)
0.978655 + 0.205511i \(0.0658856\pi\)
\(510\) −36.7932 + 39.6696i −0.0721436 + 0.0777835i
\(511\) −239.577 253.199i −0.468839 0.495498i
\(512\) −461.695 221.319i −0.901748 0.432263i
\(513\) 839.568 1.63658
\(514\) 117.699 126.901i 0.228987 0.246888i
\(515\) 21.5662 + 52.0653i 0.0418760 + 0.101098i
\(516\) 152.882 11.5184i 0.296284 0.0223225i
\(517\) −106.611 + 257.382i −0.206211 + 0.497838i
\(518\) 237.229 + 556.964i 0.457972 + 1.07522i
\(519\) 89.8283 + 89.8283i 0.173080 + 0.173080i
\(520\) −9.17587 + 11.5203i −0.0176459 + 0.0221545i
\(521\) −158.154 158.154i −0.303559 0.303559i 0.538845 0.842405i \(-0.318861\pi\)
−0.842405 + 0.538845i \(0.818861\pi\)
\(522\) 82.6115 + 179.988i 0.158260 + 0.344805i
\(523\) −220.201 91.2100i −0.421034 0.174398i 0.162100 0.986774i \(-0.448173\pi\)
−0.583133 + 0.812377i \(0.698173\pi\)
\(524\) −214.211 423.907i −0.408799 0.808982i
\(525\) −283.343 126.648i −0.539700 0.241233i
\(526\) 5.59605 + 148.762i 0.0106389 + 0.282818i
\(527\) 886.997i 1.68311i
\(528\) −38.7740 255.861i −0.0734356 0.484585i
\(529\) 286.704i 0.541973i
\(530\) 4.03603 + 107.292i 0.00761515 + 0.202437i
\(531\) 213.153 + 514.596i 0.401417 + 0.969107i
\(532\) −801.920 + 377.784i −1.50737 + 0.710120i
\(533\) 99.9235 241.237i 0.187474 0.452602i
\(534\) −109.102 + 50.0759i −0.204311 + 0.0937750i
\(535\) −9.76932 9.76932i −0.0182604 0.0182604i
\(536\) −89.8789 25.8353i −0.167684 0.0482002i
\(537\) −305.747 + 305.747i −0.569361 + 0.569361i
\(538\) −69.2227 + 186.676i −0.128667 + 0.346981i
\(539\) −191.333 + 398.146i −0.354977 + 0.738675i
\(540\) 37.0882 43.1321i 0.0686819 0.0798743i
\(541\) −339.313 819.175i −0.627197 1.51419i −0.843092 0.537770i \(-0.819267\pi\)
0.215895 0.976417i \(-0.430733\pi\)
\(542\) −89.2228 82.7535i −0.164618 0.152682i
\(543\) −223.969 −0.412466
\(544\) −743.931 506.116i −1.36752 0.930360i
\(545\) 29.5965i 0.0543054i
\(546\) 0.858989 + 86.2247i 0.00157324 + 0.157921i
\(547\) −369.973 893.193i −0.676367 1.63289i −0.770581 0.637342i \(-0.780034\pi\)
0.0942137 0.995552i \(-0.469966\pi\)
\(548\) −568.973 489.246i −1.03827 0.892784i
\(549\) 193.644 467.498i 0.352721 0.851545i
\(550\) 417.765 + 154.915i 0.759573 + 0.281663i
\(551\) 383.438 383.438i 0.695894 0.695894i
\(552\) 108.188 + 195.474i 0.195992 + 0.354120i
\(553\) −12.7933 + 462.773i −0.0231343 + 0.836841i
\(554\) 755.518 346.770i 1.36375 0.625938i
\(555\) −15.9210 + 38.4368i −0.0286866 + 0.0692555i
\(556\) 14.0872 42.8681i 0.0253366 0.0771009i
\(557\) 67.7100 28.0464i 0.121562 0.0503526i −0.321073 0.947054i \(-0.604044\pi\)
0.442635 + 0.896702i \(0.354044\pi\)
\(558\) 13.7109 + 364.483i 0.0245715 + 0.653195i
\(559\) 73.3416 0.131201
\(560\) −16.0168 + 57.8867i −0.0286014 + 0.103369i
\(561\) 454.775i 0.810650i
\(562\) 16.0079 + 425.544i 0.0284837 + 0.757195i
\(563\) 85.5867 + 206.625i 0.152019 + 0.367006i 0.981482 0.191556i \(-0.0613532\pi\)
−0.829463 + 0.558562i \(0.811353\pi\)
\(564\) 100.022 + 197.937i 0.177345 + 0.350952i
\(565\) 60.1344 + 24.9085i 0.106433 + 0.0440858i
\(566\) 746.766 342.753i 1.31937 0.605570i
\(567\) −0.861175 + 31.1514i −0.00151883 + 0.0549407i
\(568\) −715.092 + 81.0056i −1.25896 + 0.142615i
\(569\) 284.496 + 284.496i 0.499993 + 0.499993i 0.911436 0.411443i \(-0.134975\pi\)
−0.411443 + 0.911436i \(0.634975\pi\)
\(570\) −57.1190 21.1808i −0.100209 0.0371593i
\(571\) −62.8633 26.0388i −0.110093 0.0456021i 0.326957 0.945039i \(-0.393977\pi\)
−0.437050 + 0.899437i \(0.643977\pi\)
\(572\) −9.30043 123.444i −0.0162595 0.215811i
\(573\) 492.029 203.805i 0.858689 0.355681i
\(574\) −10.6076 1064.78i −0.0184801 1.85502i
\(575\) −384.670 −0.668992
\(576\) 313.518 + 196.473i 0.544302 + 0.341098i
\(577\) 95.3790i 0.165302i −0.996579 0.0826508i \(-0.973661\pi\)
0.996579 0.0826508i \(-0.0263386\pi\)
\(578\) −735.551 682.218i −1.27258 1.18031i
\(579\) −35.4274 + 14.6745i −0.0611873 + 0.0253446i
\(580\) −2.76031 36.6373i −0.00475915 0.0631678i
\(581\) 196.304 + 513.626i 0.337872 + 0.884038i
\(582\) 143.795 387.778i 0.247071 0.666285i
\(583\) −638.133 638.133i −1.09457 1.09457i
\(584\) 395.844 44.8411i 0.677814 0.0767827i
\(585\) 7.52581 7.52581i 0.0128646 0.0128646i
\(586\) −139.524 + 64.0389i −0.238095 + 0.109281i
\(587\) 658.440 + 272.735i 1.12170 + 0.464625i 0.864953 0.501853i \(-0.167348\pi\)
0.256750 + 0.966478i \(0.417348\pi\)
\(588\) 141.015 + 322.134i 0.239822 + 0.547847i
\(589\) 922.684 382.188i 1.56653 0.648877i
\(590\) −3.88445 103.262i −0.00658381 0.175020i
\(591\) 387.139 0.655058
\(592\) −671.654 166.003i −1.13455 0.280411i
\(593\) −244.853 −0.412906 −0.206453 0.978457i \(-0.566192\pi\)
−0.206453 + 0.978457i \(0.566192\pi\)
\(594\) 17.9736 + 477.799i 0.0302586 + 0.804376i
\(595\) −43.0717 + 96.3623i −0.0723894 + 0.161953i
\(596\) −292.370 96.0776i −0.490553 0.161204i
\(597\) 143.615 346.718i 0.240562 0.580767i
\(598\) 44.5822 + 97.1327i 0.0745523 + 0.162429i
\(599\) 374.934 374.934i 0.625933 0.625933i −0.321110 0.947042i \(-0.604056\pi\)
0.947042 + 0.321110i \(0.104056\pi\)
\(600\) 310.335 171.759i 0.517225 0.286265i
\(601\) 148.393 148.393i 0.246911 0.246911i −0.572791 0.819702i \(-0.694139\pi\)
0.819702 + 0.572791i \(0.194139\pi\)
\(602\) 275.171 117.204i 0.457094 0.194692i
\(603\) 62.4361 + 25.8619i 0.103542 + 0.0428887i
\(604\) 12.2088 + 10.4980i 0.0202132 + 0.0173808i
\(605\) −19.6843 + 8.15349i −0.0325360 + 0.0134768i
\(606\) 161.412 174.030i 0.266356 0.287179i
\(607\) 295.999i 0.487642i −0.969820 0.243821i \(-0.921599\pi\)
0.969820 0.243821i \(-0.0784010\pi\)
\(608\) 205.934 991.936i 0.338708 1.63147i
\(609\) −147.845 156.251i −0.242766 0.256570i
\(610\) −63.8390 + 68.8297i −0.104654 + 0.112836i
\(611\) 40.5988 + 98.0142i 0.0664465 + 0.160416i
\(612\) 493.012 + 423.928i 0.805575 + 0.692693i
\(613\) −329.751 136.587i −0.537929 0.222818i 0.0971429 0.995270i \(-0.469030\pi\)
−0.635072 + 0.772453i \(0.719030\pi\)
\(614\) 83.5131 225.213i 0.136015 0.366796i
\(615\) 51.7451 51.7451i 0.0841384 0.0841384i
\(616\) −232.165 448.286i −0.376891 0.727738i
\(617\) −197.080 + 197.080i −0.319416 + 0.319416i −0.848543 0.529127i \(-0.822520\pi\)
0.529127 + 0.848543i \(0.322520\pi\)
\(618\) −342.706 + 157.296i −0.554541 + 0.254525i
\(619\) 817.529 + 338.632i 1.32073 + 0.547062i 0.927996 0.372591i \(-0.121531\pi\)
0.392730 + 0.919654i \(0.371531\pi\)
\(620\) 21.1253 64.2855i 0.0340730 0.103686i
\(621\) −157.969 381.371i −0.254378 0.614124i
\(622\) 22.4246 + 596.124i 0.0360525 + 0.958399i
\(623\) −170.108 + 160.955i −0.273046 + 0.258355i
\(624\) −79.3378 58.4561i −0.127144 0.0936796i
\(625\) 603.514i 0.965623i
\(626\) −483.314 + 18.1810i −0.772067 + 0.0290432i
\(627\) 473.072 195.953i 0.754500 0.312524i
\(628\) 151.931 + 300.660i 0.241928 + 0.478758i
\(629\) −1123.31 465.288i −1.78586 0.739727i
\(630\) 16.2094 40.2628i 0.0257292 0.0639092i
\(631\) −787.614 + 787.614i −1.24820 + 1.24820i −0.291685 + 0.956515i \(0.594216\pi\)
−0.956515 + 0.291685i \(0.905784\pi\)
\(632\) −413.853 329.631i −0.654831 0.521569i
\(633\) −319.873 + 319.873i −0.505329 + 0.505329i
\(634\) −204.636 + 551.850i −0.322770 + 0.870426i
\(635\) −29.1296 + 70.3251i −0.0458734 + 0.110748i
\(636\) −716.382 + 53.9732i −1.12639 + 0.0848636i
\(637\) 55.6895 + 158.732i 0.0874246 + 0.249186i
\(638\) 226.424 + 210.006i 0.354896 + 0.329163i
\(639\) 520.061 0.813867
\(640\) −41.8627 54.3989i −0.0654105 0.0849982i
\(641\) −250.003 −0.390020 −0.195010 0.980801i \(-0.562474\pi\)
−0.195010 + 0.980801i \(0.562474\pi\)
\(642\) 62.8646 67.7791i 0.0979199 0.105575i
\(643\) 278.743 115.459i 0.433503 0.179563i −0.155251 0.987875i \(-0.549619\pi\)
0.588754 + 0.808312i \(0.299619\pi\)
\(644\) 322.492 + 293.187i 0.500764 + 0.455260i
\(645\) 18.9899 + 7.86586i 0.0294417 + 0.0121951i
\(646\) 619.003 1669.29i 0.958209 2.58404i
\(647\) 355.576 355.576i 0.549577 0.549577i −0.376742 0.926318i \(-0.622956\pi\)
0.926318 + 0.376742i \(0.122956\pi\)
\(648\) −27.8584 22.1890i −0.0429913 0.0342423i
\(649\) 614.166 + 614.166i 0.946327 + 0.946327i
\(650\) 154.208 70.7789i 0.237244 0.108891i
\(651\) −141.438 370.070i −0.217263 0.568464i
\(652\) −711.431 + 359.504i −1.09115 + 0.551386i
\(653\) −854.070 + 353.767i −1.30792 + 0.541757i −0.924276 0.381725i \(-0.875330\pi\)
−0.383641 + 0.923482i \(0.625330\pi\)
\(654\) 197.895 7.44428i 0.302591 0.0113827i
\(655\) 63.6756i 0.0972147i
\(656\) 979.735 + 721.868i 1.49350 + 1.10041i
\(657\) −287.883 −0.438178
\(658\) 308.955 + 302.860i 0.469537 + 0.460274i
\(659\) 22.2984 9.23629i 0.0338367 0.0140156i −0.365701 0.930732i \(-0.619171\pi\)
0.399538 + 0.916717i \(0.369171\pi\)
\(660\) 10.8312 32.9600i 0.0164109 0.0499394i
\(661\) 243.599 + 100.902i 0.368531 + 0.152650i 0.559260 0.828992i \(-0.311085\pi\)
−0.190729 + 0.981643i \(0.561085\pi\)
\(662\) −207.211 + 95.1064i −0.313008 + 0.143665i
\(663\) −122.459 122.459i −0.184705 0.184705i
\(664\) −603.956 173.605i −0.909573 0.261453i
\(665\) −118.798 3.28415i −0.178644 0.00493857i
\(666\) 468.779 + 173.832i 0.703872 + 0.261008i
\(667\) −246.321 102.029i −0.369297 0.152968i
\(668\) −491.150 422.328i −0.735255 0.632227i
\(669\) 124.871 + 301.465i 0.186653 + 0.450620i
\(670\) −9.19246 8.52594i −0.0137201 0.0127253i
\(671\) 789.068i 1.17596i
\(672\) −391.084 92.5349i −0.581970 0.137701i
\(673\) 272.694 0.405192 0.202596 0.979262i \(-0.435062\pi\)
0.202596 + 0.979262i \(0.435062\pi\)
\(674\) −239.397 + 258.112i −0.355189 + 0.382956i
\(675\) −605.466 + 250.792i −0.896986 + 0.371544i
\(676\) 476.820 + 410.006i 0.705356 + 0.606517i
\(677\) −295.073 + 712.368i −0.435853 + 1.05224i 0.541514 + 0.840692i \(0.317851\pi\)
−0.977367 + 0.211551i \(0.932149\pi\)
\(678\) −151.423 + 408.349i −0.223338 + 0.602285i
\(679\) 22.2959 806.513i 0.0328364 1.18779i
\(680\) −58.4138 105.542i −0.0859026 0.155209i
\(681\) −226.714 + 226.714i −0.332914 + 0.332914i
\(682\) 237.257 + 516.919i 0.347884 + 0.757946i
\(683\) 373.117 900.784i 0.546291 1.31886i −0.373927 0.927458i \(-0.621989\pi\)
0.920218 0.391406i \(-0.128011\pi\)
\(684\) −228.556 + 695.509i −0.334146 + 1.01683i
\(685\) −38.4990 92.9447i −0.0562029 0.135686i
\(686\) 462.604 + 506.550i 0.674350 + 0.738412i
\(687\) 408.418i 0.594494i
\(688\) −82.0148 + 331.834i −0.119208 + 0.482317i
\(689\) −343.666 −0.498790
\(690\) 1.12594 + 29.9314i 0.00163180 + 0.0433788i
\(691\) −49.5334 119.584i −0.0716836 0.173060i 0.883977 0.467531i \(-0.154856\pi\)
−0.955660 + 0.294472i \(0.904856\pi\)
\(692\) −252.787 + 127.739i −0.365299 + 0.184595i
\(693\) 130.242 + 340.777i 0.187940 + 0.491741i
\(694\) −48.8470 106.425i −0.0703848 0.153350i
\(695\) 4.27766 4.27766i 0.00615491 0.00615491i
\(696\) 244.278 27.6718i 0.350974 0.0397584i
\(697\) 1512.24 + 1512.24i 2.16964 + 2.16964i
\(698\) −1007.28 373.518i −1.44310 0.535126i
\(699\) −95.8208 + 231.332i −0.137083 + 0.330947i
\(700\) 465.465 511.990i 0.664951 0.731414i
\(701\) −18.1461 43.8085i −0.0258860 0.0624943i 0.910408 0.413712i \(-0.135768\pi\)
−0.936294 + 0.351217i \(0.885768\pi\)
\(702\) 133.499 + 123.819i 0.190170 + 0.176381i
\(703\) 1368.98i 1.94734i
\(704\) 568.921 + 95.9621i 0.808127 + 0.136310i
\(705\) 29.7324i 0.0421736i
\(706\) 515.770 556.091i 0.730552 0.787664i
\(707\) 188.955 422.741i 0.267264 0.597936i
\(708\) 689.476 51.9461i 0.973836 0.0733702i
\(709\) −479.880 198.773i −0.676841 0.280357i 0.0176645 0.999844i \(-0.494377\pi\)
−0.694506 + 0.719487i \(0.744377\pi\)
\(710\) −90.4636 33.5455i −0.127413 0.0472472i
\(711\) 270.355 + 270.355i 0.380246 + 0.380246i
\(712\) −30.1257 265.941i −0.0423114 0.373512i
\(713\) −347.215 347.215i −0.486978 0.486978i
\(714\) −655.153 263.758i −0.917581 0.369409i
\(715\) 6.35123 15.3332i 0.00888284 0.0214451i
\(716\) −434.785 860.406i −0.607241 1.20168i
\(717\) 277.090 + 668.955i 0.386458 + 0.932992i
\(718\) 4.15946 + 110.573i 0.00579312 + 0.154001i
\(719\) −654.420 −0.910181 −0.455090 0.890445i \(-0.650393\pi\)
−0.455090 + 0.890445i \(0.650393\pi\)
\(720\) 25.6347 + 42.4663i 0.0356037 + 0.0589809i
\(721\) −534.335 + 505.586i −0.741102 + 0.701229i
\(722\) 1281.68 48.2134i 1.77518 0.0667775i
\(723\) 312.584 129.477i 0.432343 0.179082i
\(724\) 155.890 474.383i 0.215318 0.655226i
\(725\) −161.982 + 391.060i −0.223424 + 0.539393i
\(726\) −59.4688 129.567i −0.0819129 0.178466i
\(727\) −33.4553 33.4553i −0.0460182 0.0460182i 0.683723 0.729741i \(-0.260360\pi\)
−0.729741 + 0.683723i \(0.760360\pi\)
\(728\) −183.228 58.1960i −0.251687 0.0799396i
\(729\) −284.588 284.588i −0.390382 0.390382i
\(730\) 50.0767 + 18.5693i 0.0685982 + 0.0254374i
\(731\) −229.878 + 554.974i −0.314470 + 0.759199i
\(732\) −476.282 409.542i −0.650658 0.559484i
\(733\) −677.063 + 280.449i −0.923688 + 0.382604i −0.793280 0.608857i \(-0.791629\pi\)
−0.130407 + 0.991461i \(0.541629\pi\)
\(734\) 791.799 + 734.388i 1.07875 + 1.00053i
\(735\) −2.60459 + 47.0720i −0.00354366 + 0.0640436i
\(736\) −489.331 + 93.0928i −0.664852 + 0.126485i
\(737\) 105.383 0.142989
\(738\) −644.781 598.030i −0.873688 0.810339i
\(739\) 116.836 + 282.066i 0.158100 + 0.381686i 0.983004 0.183587i \(-0.0587708\pi\)
−0.824904 + 0.565273i \(0.808771\pi\)
\(740\) −70.3304 60.4753i −0.0950411 0.0817234i
\(741\) 74.6212 180.151i 0.100703 0.243119i
\(742\) −1289.40 + 549.200i −1.73774 + 0.740161i
\(743\) 697.661 + 697.661i 0.938978 + 0.938978i 0.998242 0.0592640i \(-0.0188754\pi\)
−0.0592640 + 0.998242i \(0.518875\pi\)
\(744\) 435.154 + 125.083i 0.584884 + 0.168123i
\(745\) −29.1746 29.1746i −0.0391605 0.0391605i
\(746\) −519.345 + 238.370i −0.696173 + 0.319531i
\(747\) 419.550 + 173.783i 0.561646 + 0.232642i
\(748\) 963.247 + 316.539i 1.28776 + 0.423181i
\(749\) 73.5919 164.644i 0.0982536 0.219818i
\(750\) 95.5914 3.59590i 0.127455 0.00479453i
\(751\) 149.256i 0.198743i 0.995050 + 0.0993713i \(0.0316831\pi\)
−0.995050 + 0.0993713i \(0.968317\pi\)
\(752\) −488.865 + 74.0841i −0.650086 + 0.0985160i
\(753\) 69.6214i 0.0924588i
\(754\) 117.520 4.42078i 0.155861 0.00586311i
\(755\) 0.826095 + 1.99437i 0.00109417 + 0.00264155i
\(756\) 698.747 + 251.219i 0.924268 + 0.332300i
\(757\) −8.82981 + 21.3170i −0.0116642 + 0.0281599i −0.929604 0.368559i \(-0.879851\pi\)
0.917940 + <