Properties

Label 224.3.v.b.13.14
Level 224
Weight 3
Character 224.13
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 13.14
Character \(\chi\) \(=\) 224.13
Dual form 224.3.v.b.69.14

$q$-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 \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{7}{8}\right)\)

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 0.641433 0.767179i \(-0.278340\pi\)
−0.0889164 + 0.996039i \(0.528340\pi\)
\(4\) 0.300514 3.98870i 0.0751285 0.997174i
\(5\) −0.205220 0.495445i −0.0410440 0.0990890i 0.902028 0.431677i \(-0.142078\pi\)
−0.943072 + 0.332588i \(0.892078\pi\)
\(6\) −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 −0.999565 0.0294996i \(-0.990609\pi\)
0.685940 0.727658i \(-0.259391\pi\)
\(12\) 3.23667 6.40513i 0.269723 0.533761i
\(13\) 1.31375 3.17168i 0.101058 0.243976i −0.865262 0.501321i \(-0.832848\pi\)
0.966320 + 0.257345i \(0.0828477\pi\)
\(14\) 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 0.192149 + 0.981366i \(0.438454\pi\)
−0.829801 + 0.558060i \(0.811546\pi\)
\(20\) −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 0.426115 0.904669i \(-0.359882\pi\)
−0.904669 + 0.426115i \(0.859882\pi\)
\(24\) 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 −0.769663 0.638451i \(-0.779576\pi\)
0.995687 + 0.0927808i \(0.0295756\pi\)
\(30\) 1.30854 + 1.41083i 0.0436179 + 0.0470278i
\(31\) 31.5457i 1.01760i −0.860883 0.508802i \(-0.830088\pi\)
0.860883 0.508802i \(-0.169912\pi\)
\(32\) 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 0.229314 0.973352i \(-0.426352\pi\)
0.850414 + 0.526114i \(0.176352\pi\)
\(38\) −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 −0.391645 + 0.920116i \(0.628094\pi\)
−0.920116 + 0.391645i \(0.871906\pi\)
\(42\) 23.3003 9.38046i 0.554769 0.223344i
\(43\) 8.17552 + 19.7375i 0.190128 + 0.459011i 0.989984 0.141182i \(-0.0450904\pi\)
−0.799855 + 0.600193i \(0.795090\pi\)
\(44\) −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 −0.665173 0.746689i \(-0.731642\pi\)
−0.0576410 0.998337i \(-0.518358\pi\)
\(54\) 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 0.845860 + 0.533404i \(0.179088\pi\)
−0.220940 + 0.975287i \(0.570912\pi\)
\(60\) −3.83762 0.289132i −0.0639603 0.00481886i
\(61\) −80.8660 33.4958i −1.32567 0.549112i −0.396255 0.918141i \(-0.629690\pi\)
−0.929418 + 0.369029i \(0.879690\pi\)
\(62\) 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 −0.953742 0.300628i \(-0.902804\pi\)
0.886973 + 0.461821i \(0.152804\pi\)
\(68\) −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 −0.995072 0.0991558i \(-0.968386\pi\)
0.0991558 + 0.995072i \(0.468386\pi\)
\(72\) 5.20580 45.9552i 0.0723028 0.638267i
\(73\) 35.2117 35.2117i 0.482352 0.482352i −0.423530 0.905882i \(-0.639209\pi\)
0.905882 + 0.423530i \(0.139209\pi\)
\(74\) −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 \(0.137472\pi\)
−0.908180 + 0.418580i \(0.862528\pi\)
\(80\) 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 0.632809 + 0.774308i \(0.281902\pi\)
−0.994982 + 0.100055i \(0.968098\pi\)
\(84\) −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 0.827406 0.561604i \(-0.189816\pi\)
−0.561604 + 0.827406i \(0.689816\pi\)
\(90\) −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 \(-0.797499\pi\)
0.804373 0.594124i \(-0.202501\pi\)
\(98\) −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 0.747618 0.664129i \(-0.231197\pi\)
−0.998256 + 0.0590355i \(0.981197\pi\)
\(102\) 94.5988 35.0789i 0.927439 0.343911i
\(103\) 74.3084 + 74.3084i 0.721441 + 0.721441i 0.968899 0.247457i \(-0.0795951\pi\)
−0.247457 + 0.968899i \(0.579595\pi\)
\(104\) 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 0.871089 0.491125i \(-0.163414\pi\)
−0.963231 + 0.268675i \(0.913414\pi\)
\(108\) −100.775 + 33.1162i −0.933098 + 0.306632i
\(109\) −50.9889 21.1203i −0.467788 0.193764i 0.136323 0.990664i \(-0.456472\pi\)
−0.604111 + 0.796900i \(0.706472\pi\)
\(110\) 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 \(0.180463\pi\)
−0.843547 + 0.537056i \(0.819537\pi\)
\(114\) 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 −0.0775771 0.996986i \(-0.524718\pi\)
−0.759831 + 0.650121i \(0.774718\pi\)
\(132\) −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 0.0312472 0.999512i \(-0.490052\pi\)
−0.999512 + 0.0312472i \(0.990052\pi\)
\(138\) 50.7624 + 23.2991i 0.367843 + 0.168834i
\(139\) −10.4221 + 4.31699i −0.0749795 + 0.0310575i −0.419858 0.907590i \(-0.637920\pi\)
0.344878 + 0.938647i \(0.387920\pi\)
\(140\) 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 0.793755 0.608237i \(-0.208123\pi\)
−0.991358 + 0.131181i \(0.958123\pi\)
\(150\) −36.9897 + 80.5905i −0.246598 + 0.537270i
\(151\) 2.84640 + 2.84640i 0.0188503 + 0.0188503i 0.716469 0.697619i \(-0.245757\pi\)
−0.697619 + 0.716469i \(0.745757\pi\)
\(152\) −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 0.616453 0.787392i \(-0.288569\pi\)
−0.120872 + 0.992668i \(0.538569\pi\)
\(158\) −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 −0.497248 0.867608i \(-0.665656\pi\)
0.965099 0.261884i \(-0.0843439\pi\)
\(164\) 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 0.275595 0.961274i \(-0.411125\pi\)
−0.961274 + 0.275595i \(0.911125\pi\)
\(168\) −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 −0.826013 0.563652i \(-0.809396\pi\)
0.982641 + 0.185517i \(0.0593960\pi\)
\(174\) −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 −0.338975 0.940795i \(-0.610080\pi\)
−0.904934 + 0.425551i \(0.860080\pi\)
\(180\) 11.0680 + 5.59295i 0.0614891 + 0.0310720i
\(181\) −115.333 + 47.7724i −0.637197 + 0.263936i −0.677808 0.735239i \(-0.737070\pi\)
0.0406103 + 0.999175i \(0.487070\pi\)
\(182\) −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 0.185794 0.982589i \(-0.440514\pi\)
0.826171 + 0.563419i \(0.190514\pi\)
\(198\) −36.2403 97.7306i −0.183032 0.493589i
\(199\) 147.909 + 147.909i 0.743262 + 0.743262i 0.973204 0.229942i \(-0.0738536\pi\)
−0.229942 + 0.973204i \(0.573854\pi\)
\(200\) 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 −0.245142 0.969487i \(-0.578835\pi\)
−0.858873 + 0.512189i \(0.828835\pi\)
\(212\) −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 \(-0.866300\pi\)
0.913076 0.407789i \(-0.133700\pi\)
\(224\) −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 −0.0118763 0.999929i \(-0.503780\pi\)
−0.715455 + 0.698659i \(0.753780\pi\)
\(228\) 148.131 + 172.270i 0.649696 + 0.755571i
\(229\) −87.1151 210.314i −0.380415 0.918403i −0.991885 0.127136i \(-0.959422\pi\)
0.611470 0.791268i \(1.70942\pi\)
\(230\) −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 0.462878 0.886422i \(-0.346817\pi\)
−0.886422 + 0.462878i \(0.846817\pi\)
\(234\) 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 \(-0.680009\pi\)
0.535852 0.844312i \(-0.319991\pi\)
\(240\) −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 0.891533 0.452956i \(-0.149630\pi\)
−0.950697 + 0.310121i \(0.899630\pi\)
\(252\) 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 \(-0.946151\pi\)
0.985725 0.168366i \(-0.0538491\pi\)
\(258\) −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 −0.800053 0.599929i \(-0.795195\pi\)
0.599929 + 0.800053i \(0.295195\pi\)
\(264\) 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 −0.978736 0.205126i \(-0.934240\pi\)
0.837116 + 0.547025i \(0.184240\pi\)
\(270\) 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 −0.897922 0.440154i \(-0.854924\pi\)
0.323691 0.946163i \(-0.395076\pi\)
\(278\) 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 −0.922291 0.386495i \(-0.873686\pi\)
0.386495 + 0.922291i \(0.373686\pi\)
\(282\) −103.969 + 38.5535i −0.368684 + 0.136715i
\(283\) −157.219 379.561i −0.555546 1.34121i −0.913261 0.407375i \(-0.866444\pi\)
0.357715 0.933831i \(1.61644\pi\)
\(284\) 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 0.966046 0.258369i \(-0.0831850\pi\)
−0.865792 + 0.500404i \(0.833185\pi\)
\(294\) −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 −0.831180 0.556003i \(-0.812334\pi\)
0.980887 + 0.194579i \(0.0623341\pi\)
\(308\) 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 −0.959586 0.281416i \(-0.909196\pi\)
0.281416 + 0.959586i \(0.409196\pi\)
\(312\) 48.9606 + 5.54625i 0.156925 + 0.0177764i
\(313\) 170.998 + 170.998i 0.546320 + 0.546320i 0.925374 0.379054i \(-0.123751\pi\)
−0.379054 + 0.925374i \(0.623751\pi\)
\(314\) −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 0.640691 + 0.767799i \(0.278648\pi\)
−0.995953 + 0.0898786i \(0.971352\pi\)
\(318\) 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 0.975977 0.217873i \(-0.0699119\pi\)
−0.844180 + 0.536060i \(0.819912\pi\)
\(332\) 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 \(0.0841044\pi\)
−0.965296 + 0.261158i \(0.915896\pi\)
\(338\) −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 −0.303376 0.952871i \(-0.598114\pi\)
0.459263 + 0.888301i \(0.348114\pi\)
\(348\) −80.1421 93.2021i −0.230293 0.267822i
\(349\) 496.264 + 205.559i 1.42196 + 0.588995i 0.955352 0.295470i \(-0.0954762\pi\)
0.466607 + 0.884465i \(0.345476\pi\)
\(350\) 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 \(-0.819501\pi\)
0.843487 0.537150i \(-0.180499\pi\)
\(354\) −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 −0.759491 0.650518i \(-0.774552\pi\)
0.650518 + 0.759491i \(0.274552\pi\)
\(360\) −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 1.00000 0.000342797i \(0.000109116\pi\)
−0.706864 + 0.707349i \(0.749891\pi\)
\(374\) −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 −0.640798 0.767710i \(-0.721396\pi\)
0.0897406 + 0.995965i \(0.471396\pi\)
\(380\) 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 \(0.0124178\pi\)
−0.999239 + 0.0390016i \(0.987582\pi\)
\(384\) −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 −0.415696 0.909504i \(-0.636462\pi\)
0.349175 + 0.937058i \(0.386462\pi\)
\(390\) 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 −0.860518 0.509419i \(-0.829860\pi\)
0.968692 + 0.248265i \(0.0798602\pi\)
\(398\) −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 \(0.0275885\pi\)
−0.996246 + 0.0865635i \(0.972411\pi\)
\(402\) 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 0.293890 0.955839i \(-0.405050\pi\)
−0.955839 + 0.293890i \(0.905050\pi\)
\(410\) −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 −0.369564 0.929205i \(-0.620493\pi\)
−0.918368 + 0.395727i \(0.870493\pi\)
\(420\) 26.9090 + 1.28080i 0.0640690 + 0.00304952i
\(421\) 57.3466 23.7538i 0.136215 0.0564222i −0.313535 0.949577i \(-0.601513\pi\)
0.449750 + 0.893155i \(0.351513\pi\)
\(422\) 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 \(0.128571\pi\)
−0.919529 + 0.393023i \(0.871429\pi\)
\(432\) 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 −0.601081 0.799188i \(-0.705263\pi\)
0.799188 + 0.601081i \(0.205263\pi\)
\(440\) −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 −0.104914 0.994481i \(-0.533457\pi\)
0.629019 + 0.777390i \(0.283457\pi\)
\(444\) 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 0.933848 + 0.357670i \(0.116429\pi\)
0.357670 + 0.933848i \(0.383571\pi\)
\(458\) 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 −0.430532 0.902575i \(-0.641674\pi\)
0.942649 0.333785i \(-0.108326\pi\)
\(462\) −158.510 161.700i −0.343096 0.350001i
\(463\) 498.672i 1.07705i −0.842611 0.538523i \(-0.818982\pi\)
0.842611 0.538523i \(-0.181018\pi\)
\(464\) −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 −0.547185 0.837012i \(-0.684300\pi\)
0.978775 0.204939i \(-0.0656995\pi\)
\(468\) 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 \(-0.807210\pi\)
0.822122 0.569312i \(-0.192790\pi\)
\(480\) −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 −0.914229 0.405198i \(-0.867203\pi\)
0.405198 + 0.914229i \(0.367203\pi\)
\(488\) −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 0.862784 0.505573i \(-0.168719\pi\)
−0.967574 + 0.252586i \(0.918719\pi\)
\(492\) 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 0.403614 0.914930i \(-0.367754\pi\)
−0.361555 + 0.932351i \(0.617754\pi\)
\(500\) −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 −0.841030 0.540989i \(-0.818050\pi\)
0.540989 + 0.841030i \(0.318050\pi\)
\(504\) −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 0.978655 0.205511i \(-0.0658856\pi\)
0.546695 + 0.837332i \(0.315886\pi\)
\(510\) −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 −0.842405 0.538845i \(-0.818861\pi\)
0.538845 + 0.842405i \(0.318861\pi\)
\(522\) 82.6115 179.988i 0.158260 0.344805i
\(523\) −220.201 + 91.2100i −0.421034 + 0.174398i −0.583133 0.812377i \(-0.698173\pi\)
0.162100 + 0.986774i \(0.448173\pi\)
\(524\) −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 0.215895 + 0.976417i \(0.430733\pi\)
−0.843092 + 0.537770i \(0.819267\pi\)
\(542\) −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 0.0942137 + 0.995552i \(0.469966\pi\)
−0.770581 + 0.637342i \(0.780034\pi\)
\(548\) −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 0.442635 0.896702i \(-0.354044\pi\)
−0.321073 + 0.947054i \(0.604044\pi\)
\(558\) 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 −0.829463 0.558562i \(-0.811353\pi\)
0.981482 + 0.191556i \(0.0613532\pi\)
\(564\) 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 −0.411443 0.911436i \(-0.634975\pi\)
0.911436 + 0.411443i \(0.134975\pi\)
\(570\) −57.1190 + 21.1808i −0.100209 + 0.0371593i
\(571\) −62.8633 + 26.0388i −0.110093 + 0.0456021i −0.437050 0.899437i \(-0.643977\pi\)
0.326957 + 0.945039i \(0.393977\pi\)
\(572\) −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 \(0.0263386\pi\)
−0.996579 + 0.0826508i \(0.973661\pi\)
\(578\) −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 0.256750 0.966478i \(-0.417348\pi\)
0.864953 + 0.501853i \(0.167348\pi\)
\(588\) 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 0.947042 0.321110i \(-0.104056\pi\)
−0.321110 + 0.947042i \(0.604056\pi\)
\(600\) 310.335 + 171.759i 0.517225 + 0.286265i
\(601\) 148.393 + 148.393i 0.246911 + 0.246911i 0.819702 0.572791i \(-0.194139\pi\)
−0.572791 + 0.819702i \(0.694139\pi\)
\(602\) 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 \(0.0784010\pi\)
−0.969820 + 0.243821i \(0.921599\pi\)
\(608\) 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 −0.635072 0.772453i \(-0.719030\pi\)
0.0971429 + 0.995270i \(0.469030\pi\)
\(614\) 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 0.529127 0.848543i \(-0.322520\pi\)
−0.848543 + 0.529127i \(0.822520\pi\)
\(618\) −342.706 157.296i −0.554541 0.254525i
\(619\) 817.529 338.632i 1.32073 0.547062i 0.392730 0.919654i \(-0.371531\pi\)
0.927996 + 0.372591i \(0.121531\pi\)
\(620\) 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 −0.956515 0.291685i \(-0.905784\pi\)
−0.291685 0.956515i \(-0.594216\pi\)
\(632\) −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 0.588754 0.808312i \(-0.299619\pi\)
−0.155251 + 0.987875i \(0.549619\pi\)
\(644\) 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 0.926318 0.376742i \(-0.122956\pi\)
−0.376742 + 0.926318i \(0.622956\pi\)
\(648\) −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 −0.383641 0.923482i \(-0.625330\pi\)
−0.924276 + 0.381725i \(0.875330\pi\)
\(654\) 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 0.399538 0.916717i \(-0.369171\pi\)
−0.365701 + 0.930732i \(0.619171\pi\)
\(660\) 10.8312 + 32.9600i 0.0164109 + 0.0499394i
\(661\) 243.599 100.902i 0.368531 0.152650i −0.190729 0.981643i \(-0.561085\pi\)
0.559260 + 0.828992i \(0.311085\pi\)
\(662\) −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 −0.977367 0.211551i \(-0.932149\pi\)
0.541514 0.840692i \(1.68215\pi\)
\(678\) −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 0.920218 + 0.391406i \(0.128011\pi\)
−0.373927 + 0.927458i \(0.621989\pi\)
\(684\) −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 −0.955660 0.294472i \(-0.904856\pi\)
0.883977 + 0.467531i \(0.154856\pi\)
\(692\) −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 −0.936294 0.351217i \(-0.885768\pi\)
0.910408 + 0.413712i \(0.135768\pi\)
\(702\) 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 −0.694506 0.719487i \(-0.744377\pi\)
0.0176645 + 0.999844i \(0.494377\pi\)
\(710\) −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 −0.729741 0.683723i \(-0.760360\pi\)
0.683723 + 0.729741i \(0.260360\pi\)
\(728\) −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 −0.130407 0.991461i \(-0.541629\pi\)
−0.793280 + 0.608857i \(0.791629\pi\)
\(734\) 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 −0.824904 0.565273i \(-0.808771\pi\)
0.983004 + 0.183587i \(0.0587708\pi\)
\(740\) −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 −0.0592640 0.998242i \(-0.518875\pi\)
0.998242 + 0.0592640i \(0.0188754\pi\)
\(744\) 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 \(-0.968317\pi\)
0.995050 0.0993713i \(-0.0316831\pi\)
\(752\) −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 0.917940 0.396719i \(-0.129851\pi\)
−0.929604