Properties

Label 210.3.w.b.173.9
Level 210
Weight 3
Character 210.173
Analytic conductor 5.722
Analytic rank 0
Dimension 64
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 210.w (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.72208555157\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(16\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 173.9
Character \(\chi\) \(=\) 210.173
Dual form 210.3.w.b.17.9

$q$-expansion

\(f(q)\) \(=\) \(q+(1.36603 - 0.366025i) q^{2} +(0.145428 - 2.99647i) q^{3} +(1.73205 - 1.00000i) q^{4} +(-4.92543 - 0.860317i) q^{5} +(-0.898127 - 4.14649i) q^{6} +(1.68496 - 6.79418i) q^{7} +(2.00000 - 2.00000i) q^{8} +(-8.95770 - 0.871542i) q^{9} +O(q^{10})\) \(q+(1.36603 - 0.366025i) q^{2} +(0.145428 - 2.99647i) q^{3} +(1.73205 - 1.00000i) q^{4} +(-4.92543 - 0.860317i) q^{5} +(-0.898127 - 4.14649i) q^{6} +(1.68496 - 6.79418i) q^{7} +(2.00000 - 2.00000i) q^{8} +(-8.95770 - 0.871542i) q^{9} +(-7.04316 + 0.627617i) q^{10} +(-13.7602 + 7.94448i) q^{11} +(-2.74458 - 5.33547i) q^{12} +(5.32844 - 5.32844i) q^{13} +(-0.185142 - 9.89776i) q^{14} +(-3.29421 + 14.6338i) q^{15} +(2.00000 - 3.46410i) q^{16} +(16.9844 + 4.55096i) q^{17} +(-12.5555 + 2.08820i) q^{18} +(5.62474 - 9.74233i) q^{19} +(-9.39141 + 3.43532i) q^{20} +(-20.1135 - 6.03701i) q^{21} +(-15.8890 + 15.8890i) q^{22} +(-10.4778 - 39.1036i) q^{23} +(-5.70209 - 6.28380i) q^{24} +(23.5197 + 8.47486i) q^{25} +(5.32844 - 9.22913i) q^{26} +(-3.91425 + 26.7148i) q^{27} +(-3.87574 - 13.4528i) q^{28} -22.8488 q^{29} +(0.856366 + 21.1959i) q^{30} +(36.0825 - 20.8322i) q^{31} +(1.46410 - 5.46410i) q^{32} +(21.8043 + 42.3875i) q^{33} +24.8669 q^{34} +(-14.1443 + 32.0147i) q^{35} +(-16.3867 + 7.44815i) q^{36} +(7.72790 + 28.8409i) q^{37} +(4.11759 - 15.3671i) q^{38} +(-15.1916 - 16.7414i) q^{39} +(-11.5715 + 8.13022i) q^{40} +55.0717 q^{41} +(-29.6853 - 0.884639i) q^{42} +(-14.2521 - 14.2521i) q^{43} +(-15.8890 + 27.5205i) q^{44} +(43.3707 + 11.9992i) q^{45} +(-28.6258 - 49.5814i) q^{46} +(-6.77411 - 25.2813i) q^{47} +(-10.0892 - 6.49672i) q^{48} +(-43.3218 - 22.8959i) q^{49} +(35.2305 + 2.96807i) q^{50} +(16.1068 - 50.2315i) q^{51} +(3.90069 - 14.5576i) q^{52} +(59.0583 + 15.8246i) q^{53} +(4.43132 + 37.9258i) q^{54} +(74.6098 - 27.2918i) q^{55} +(-10.2184 - 16.9583i) q^{56} +(-28.3746 - 18.2712i) q^{57} +(-31.2120 + 8.36322i) q^{58} +(10.7056 - 6.18085i) q^{59} +(8.92806 + 28.6407i) q^{60} +(14.5577 + 8.40486i) q^{61} +(41.6644 - 41.6644i) q^{62} +(-21.0148 + 59.3917i) q^{63} -8.00000i q^{64} +(-30.8290 + 21.6607i) q^{65} +(45.3001 + 49.9215i) q^{66} +(103.766 + 27.8041i) q^{67} +(33.9688 - 9.10191i) q^{68} +(-118.697 + 25.7096i) q^{69} +(-7.60331 + 48.9100i) q^{70} +34.7786i q^{71} +(-19.6585 + 16.1723i) q^{72} +(-56.8067 - 15.2213i) q^{73} +(21.1130 + 36.5688i) q^{74} +(28.8151 - 69.2437i) q^{75} -22.4989i q^{76} +(30.7907 + 106.876i) q^{77} +(-26.8799 - 17.3087i) q^{78} +(40.5584 + 23.4164i) q^{79} +(-12.8311 + 15.3416i) q^{80} +(79.4808 + 15.6140i) q^{81} +(75.2293 - 20.1576i) q^{82} +(75.6892 + 75.6892i) q^{83} +(-40.8747 + 9.65714i) q^{84} +(-79.7402 - 37.0274i) q^{85} +(-24.6854 - 14.2521i) q^{86} +(-3.32285 + 68.4657i) q^{87} +(-11.6315 + 43.4094i) q^{88} +(-116.275 - 67.1315i) q^{89} +(63.6375 + 0.516401i) q^{90} +(-27.2242 - 45.1806i) q^{91} +(-57.2517 - 57.2517i) q^{92} +(-57.1758 - 111.150i) q^{93} +(-18.5072 - 32.0554i) q^{94} +(-36.0857 + 43.1461i) q^{95} +(-16.1601 - 5.18177i) q^{96} +(-75.7669 - 75.7669i) q^{97} +(-67.5592 - 15.4195i) q^{98} +(130.184 - 59.1716i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q + 32q^{2} + 6q^{3} + 12q^{5} + 4q^{7} + 128q^{8} + 16q^{9} + O(q^{10}) \) \( 64q + 32q^{2} + 6q^{3} + 12q^{5} + 4q^{7} + 128q^{8} + 16q^{9} + 24q^{10} - 12q^{12} + 16q^{14} + 68q^{15} + 128q^{16} - 12q^{18} + 36q^{21} + 16q^{22} + 12q^{23} - 16q^{25} + 8q^{28} + 112q^{29} + 22q^{30} - 128q^{32} + 30q^{33} + 16q^{36} - 32q^{37} - 24q^{38} - 64q^{39} - 88q^{42} + 32q^{43} + 16q^{44} - 474q^{45} - 24q^{46} + 96q^{47} - 40q^{50} - 84q^{51} - 56q^{53} + 72q^{54} - 220q^{57} + 56q^{58} - 672q^{59} + 24q^{60} + 600q^{61} - 114q^{63} - 28q^{65} + 16q^{67} + 40q^{72} - 624q^{73} + 64q^{74} - 144q^{75} - 208q^{77} - 248q^{78} + 48q^{80} - 64q^{81} - 192q^{82} - 160q^{84} - 152q^{85} - 672q^{87} - 16q^{88} - 144q^{89} - 232q^{91} - 48q^{92} - 202q^{93} - 136q^{95} - 48q^{96} - 128q^{98} - 160q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(71\) \(127\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\) \(e\left(\frac{3}{4}\right)\)

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:
<
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.36603 0.366025i 0.683013 0.183013i
\(3\) 0.145428 2.99647i 0.0484760 0.998824i
\(4\) 1.73205 1.00000i 0.433013 0.250000i
\(5\) −4.92543 0.860317i −0.985086 0.172063i
\(6\) −0.898127 4.14649i −0.149688 0.691081i
\(7\) 1.68496 6.79418i 0.240709 0.970597i
\(8\) 2.00000 2.00000i 0.250000 0.250000i
\(9\) −8.95770 0.871542i −0.995300 0.0968380i
\(10\) −7.04316 + 0.627617i −0.704316 + 0.0627617i
\(11\) −13.7602 + 7.94448i −1.25093 + 0.722225i −0.971294 0.237881i \(-0.923547\pi\)
−0.279636 + 0.960106i \(0.590214\pi\)
\(12\) −2.74458 5.33547i −0.228715 0.444623i
\(13\) 5.32844 5.32844i 0.409880 0.409880i −0.471817 0.881697i \(-0.656402\pi\)
0.881697 + 0.471817i \(0.156402\pi\)
\(14\) −0.185142 9.89776i −0.0132244 0.706983i
\(15\) −3.29421 + 14.6338i −0.219614 + 0.975587i
\(16\) 2.00000 3.46410i 0.125000 0.216506i
\(17\) 16.9844 + 4.55096i 0.999083 + 0.267703i 0.721061 0.692872i \(-0.243655\pi\)
0.278021 + 0.960575i \(0.410321\pi\)
\(18\) −12.5555 + 2.08820i −0.697525 + 0.116011i
\(19\) 5.62474 9.74233i 0.296039 0.512754i −0.679187 0.733965i \(-0.737668\pi\)
0.975226 + 0.221211i \(0.0710009\pi\)
\(20\) −9.39141 + 3.43532i −0.469571 + 0.171766i
\(21\) −20.1135 6.03701i −0.957788 0.287477i
\(22\) −15.8890 + 15.8890i −0.722225 + 0.722225i
\(23\) −10.4778 39.1036i −0.455556 1.70016i −0.686449 0.727178i \(-0.740832\pi\)
0.230893 0.972979i \(-0.425835\pi\)
\(24\) −5.70209 6.28380i −0.237587 0.261825i
\(25\) 23.5197 + 8.47486i 0.940788 + 0.338995i
\(26\) 5.32844 9.22913i 0.204940 0.354966i
\(27\) −3.91425 + 26.7148i −0.144972 + 0.989436i
\(28\) −3.87574 13.4528i −0.138419 0.480458i
\(29\) −22.8488 −0.787888 −0.393944 0.919134i \(-0.628890\pi\)
−0.393944 + 0.919134i \(0.628890\pi\)
\(30\) 0.856366 + 21.1959i 0.0285455 + 0.706530i
\(31\) 36.0825 20.8322i 1.16395 0.672007i 0.211703 0.977334i \(-0.432099\pi\)
0.952248 + 0.305327i \(0.0987658\pi\)
\(32\) 1.46410 5.46410i 0.0457532 0.170753i
\(33\) 21.8043 + 42.3875i 0.660736 + 1.28447i
\(34\) 24.8669 0.731379
\(35\) −14.1443 + 32.0147i −0.404123 + 0.914705i
\(36\) −16.3867 + 7.44815i −0.455187 + 0.206893i
\(37\) 7.72790 + 28.8409i 0.208862 + 0.779484i 0.988238 + 0.152927i \(0.0488699\pi\)
−0.779375 + 0.626557i \(0.784463\pi\)
\(38\) 4.11759 15.3671i 0.108358 0.404396i
\(39\) −15.1916 16.7414i −0.389529 0.429267i
\(40\) −11.5715 + 8.13022i −0.289287 + 0.203256i
\(41\) 55.0717 1.34321 0.671606 0.740909i \(-0.265605\pi\)
0.671606 + 0.740909i \(0.265605\pi\)
\(42\) −29.6853 0.884639i −0.706793 0.0210628i
\(43\) −14.2521 14.2521i −0.331445 0.331445i 0.521690 0.853135i \(-0.325302\pi\)
−0.853135 + 0.521690i \(0.825302\pi\)
\(44\) −15.8890 + 27.5205i −0.361113 + 0.625465i
\(45\) 43.3707 + 11.9992i 0.963794 + 0.266648i
\(46\) −28.6258 49.5814i −0.622301 1.07786i
\(47\) −6.77411 25.2813i −0.144130 0.537900i −0.999793 0.0203662i \(-0.993517\pi\)
0.855663 0.517534i \(-0.173150\pi\)
\(48\) −10.0892 6.49672i −0.210192 0.135348i
\(49\) −43.3218 22.8959i −0.884118 0.467263i
\(50\) 35.2305 + 2.96807i 0.704611 + 0.0593614i
\(51\) 16.1068 50.2315i 0.315820 0.984931i
\(52\) 3.90069 14.5576i 0.0750132 0.279953i
\(53\) 59.0583 + 15.8246i 1.11431 + 0.298578i 0.768578 0.639756i \(-0.220965\pi\)
0.345730 + 0.938334i \(0.387631\pi\)
\(54\) 4.43132 + 37.9258i 0.0820614 + 0.702329i
\(55\) 74.6098 27.2918i 1.35654 0.496214i
\(56\) −10.2184 16.9583i −0.182472 0.302827i
\(57\) −28.3746 18.2712i −0.497801 0.320547i
\(58\) −31.2120 + 8.36322i −0.538138 + 0.144194i
\(59\) 10.7056 6.18085i 0.181450 0.104760i −0.406524 0.913640i \(-0.633259\pi\)
0.587974 + 0.808880i \(0.299926\pi\)
\(60\) 8.92806 + 28.6407i 0.148801 + 0.477345i
\(61\) 14.5577 + 8.40486i 0.238650 + 0.137785i 0.614556 0.788873i \(-0.289335\pi\)
−0.375906 + 0.926658i \(0.622668\pi\)
\(62\) 41.6644 41.6644i 0.672007 0.672007i
\(63\) −21.0148 + 59.3917i −0.333568 + 0.942726i
\(64\) 8.00000i 0.125000i
\(65\) −30.8290 + 21.6607i −0.474292 + 0.333242i
\(66\) 45.3001 + 49.9215i 0.686366 + 0.756387i
\(67\) 103.766 + 27.8041i 1.54875 + 0.414987i 0.929082 0.369875i \(-0.120600\pi\)
0.619671 + 0.784862i \(0.287266\pi\)
\(68\) 33.9688 9.10191i 0.499541 0.133852i
\(69\) −118.697 + 25.7096i −1.72024 + 0.372603i
\(70\) −7.60331 + 48.9100i −0.108619 + 0.698715i
\(71\) 34.7786i 0.489840i 0.969543 + 0.244920i \(0.0787617\pi\)
−0.969543 + 0.244920i \(0.921238\pi\)
\(72\) −19.6585 + 16.1723i −0.273035 + 0.224616i
\(73\) −56.8067 15.2213i −0.778175 0.208511i −0.152195 0.988351i \(-0.548634\pi\)
−0.625980 + 0.779839i \(0.715301\pi\)
\(74\) 21.1130 + 36.5688i 0.285311 + 0.494173i
\(75\) 28.8151 69.2437i 0.384202 0.923249i
\(76\) 22.4989i 0.296039i
\(77\) 30.7907 + 106.876i 0.399880 + 1.38800i
\(78\) −26.8799 17.3087i −0.344614 0.221906i
\(79\) 40.5584 + 23.4164i 0.513398 + 0.296410i 0.734229 0.678902i \(-0.237544\pi\)
−0.220831 + 0.975312i \(0.570877\pi\)
\(80\) −12.8311 + 15.3416i −0.160389 + 0.191769i
\(81\) 79.4808 + 15.6140i 0.981245 + 0.192766i
\(82\) 75.2293 20.1576i 0.917431 0.245825i
\(83\) 75.6892 + 75.6892i 0.911918 + 0.911918i 0.996423 0.0845048i \(-0.0269308\pi\)
−0.0845048 + 0.996423i \(0.526931\pi\)
\(84\) −40.8747 + 9.65714i −0.486603 + 0.114966i
\(85\) −79.7402 37.0274i −0.938120 0.435616i
\(86\) −24.6854 14.2521i −0.287040 0.165722i
\(87\) −3.32285 + 68.4657i −0.0381936 + 0.786962i
\(88\) −11.6315 + 43.4094i −0.132176 + 0.493289i
\(89\) −116.275 67.1315i −1.30646 0.754286i −0.324958 0.945728i \(-0.605350\pi\)
−0.981504 + 0.191442i \(0.938684\pi\)
\(90\) 63.6375 + 0.516401i 0.707084 + 0.00573779i
\(91\) −27.2242 45.1806i −0.299167 0.496490i
\(92\) −57.2517 57.2517i −0.622301 0.622301i
\(93\) −57.1758 111.150i −0.614793 1.19516i
\(94\) −18.5072 32.0554i −0.196885 0.341015i
\(95\) −36.0857 + 43.1461i −0.379850 + 0.454169i
\(96\) −16.1601 5.18177i −0.168334 0.0539768i
\(97\) −75.7669 75.7669i −0.781102 0.781102i 0.198915 0.980017i \(-0.436258\pi\)
−0.980017 + 0.198915i \(0.936258\pi\)
\(98\) −67.5592 15.4195i −0.689379 0.157342i
\(99\) 130.184 59.1716i 1.31499 0.597693i
\(100\) 49.2122 8.84081i 0.492122 0.0884081i
\(101\) 39.6447 + 68.6665i 0.392521 + 0.679867i 0.992781 0.119938i \(-0.0382696\pi\)
−0.600260 + 0.799805i \(0.704936\pi\)
\(102\) 3.61634 74.5130i 0.0354543 0.730519i
\(103\) 12.9252 + 48.2373i 0.125487 + 0.468323i 0.999857 0.0169370i \(-0.00539146\pi\)
−0.874370 + 0.485260i \(0.838725\pi\)
\(104\) 21.3138i 0.204940i
\(105\) 93.8741 + 47.0389i 0.894039 + 0.447989i
\(106\) 86.4673 0.815730
\(107\) −178.339 + 47.7857i −1.66672 + 0.446595i −0.964223 0.265094i \(-0.914597\pi\)
−0.702494 + 0.711690i \(0.747930\pi\)
\(108\) 19.9351 + 50.1856i 0.184584 + 0.464681i
\(109\) −70.6679 + 40.8002i −0.648330 + 0.374313i −0.787816 0.615911i \(-0.788788\pi\)
0.139486 + 0.990224i \(0.455455\pi\)
\(110\) 91.9295 64.5904i 0.835722 0.587185i
\(111\) 87.5449 18.9622i 0.788692 0.170830i
\(112\) −20.1658 19.4252i −0.180052 0.173440i
\(113\) −56.2695 + 56.2695i −0.497960 + 0.497960i −0.910803 0.412842i \(-0.864536\pi\)
0.412842 + 0.910803i \(0.364536\pi\)
\(114\) −45.4482 14.5731i −0.398668 0.127834i
\(115\) 17.9661 + 201.616i 0.156227 + 1.75319i
\(116\) −39.5752 + 22.8488i −0.341166 + 0.196972i
\(117\) −52.3745 + 43.0866i −0.447645 + 0.368262i
\(118\) 12.3617 12.3617i 0.104760 0.104760i
\(119\) 59.5381 107.727i 0.500320 0.905268i
\(120\) 22.6792 + 35.8560i 0.188993 + 0.298800i
\(121\) 65.7294 113.847i 0.543218 0.940882i
\(122\) 22.9625 + 6.15279i 0.188217 + 0.0504327i
\(123\) 8.00896 165.021i 0.0651135 1.34163i
\(124\) 41.6644 72.1649i 0.336004 0.581975i
\(125\) −108.554 61.9767i −0.868429 0.495814i
\(126\) −6.96787 + 88.8226i −0.0553006 + 0.704941i
\(127\) 29.9204 29.9204i 0.235594 0.235594i −0.579429 0.815023i \(-0.696724\pi\)
0.815023 + 0.579429i \(0.196724\pi\)
\(128\) −2.92820 10.9282i −0.0228766 0.0853766i
\(129\) −44.7788 + 40.6335i −0.347122 + 0.314988i
\(130\) −34.1848 + 40.8733i −0.262960 + 0.314410i
\(131\) 82.2110 142.394i 0.627565 1.08697i −0.360474 0.932769i \(-0.617385\pi\)
0.988039 0.154205i \(-0.0492816\pi\)
\(132\) 80.1537 + 51.6131i 0.607225 + 0.391008i
\(133\) −56.7137 54.6309i −0.426419 0.410759i
\(134\) 151.925 1.13377
\(135\) 42.2625 128.214i 0.313056 0.949735i
\(136\) 43.0707 24.8669i 0.316696 0.182845i
\(137\) −9.26691 + 34.5846i −0.0676417 + 0.252442i −0.991464 0.130379i \(-0.958381\pi\)
0.923823 + 0.382821i \(0.125047\pi\)
\(138\) −152.732 + 78.5660i −1.10676 + 0.569319i
\(139\) −29.1666 −0.209832 −0.104916 0.994481i \(-0.533457\pi\)
−0.104916 + 0.994481i \(0.533457\pi\)
\(140\) 7.51599 + 69.5953i 0.0536856 + 0.497109i
\(141\) −76.7399 + 16.6218i −0.544255 + 0.117885i
\(142\) 12.7299 + 47.5085i 0.0896469 + 0.334567i
\(143\) −30.9889 + 115.652i −0.216706 + 0.808757i
\(144\) −20.9345 + 29.2873i −0.145379 + 0.203384i
\(145\) 112.540 + 19.6572i 0.776137 + 0.135567i
\(146\) −83.1709 −0.569663
\(147\) −74.9071 + 126.483i −0.509572 + 0.860428i
\(148\) 42.2260 + 42.2260i 0.285311 + 0.285311i
\(149\) 62.7849 108.747i 0.421375 0.729843i −0.574699 0.818365i \(-0.694881\pi\)
0.996074 + 0.0885216i \(0.0282142\pi\)
\(150\) 14.0172 105.136i 0.0934483 0.700905i
\(151\) −93.1064 161.265i −0.616599 1.06798i −0.990102 0.140352i \(-0.955177\pi\)
0.373503 0.927629i \(-0.378157\pi\)
\(152\) −8.23519 30.7341i −0.0541788 0.202198i
\(153\) −148.175 55.5687i −0.968463 0.363194i
\(154\) 81.1801 + 134.725i 0.527144 + 0.874836i
\(155\) −195.644 + 71.5653i −1.26222 + 0.461711i
\(156\) −43.0541 13.8054i −0.275988 0.0884960i
\(157\) −27.2585 + 101.730i −0.173621 + 0.647962i 0.823162 + 0.567807i \(0.192208\pi\)
−0.996782 + 0.0801548i \(0.974459\pi\)
\(158\) 63.9748 + 17.1420i 0.404904 + 0.108494i
\(159\) 56.0068 174.665i 0.352244 1.09852i
\(160\) −11.9122 + 25.6535i −0.0744512 + 0.160334i
\(161\) −283.332 + 5.29983i −1.75982 + 0.0329182i
\(162\) 114.288 7.76285i 0.705481 0.0479188i
\(163\) −197.007 + 52.7878i −1.20863 + 0.323852i −0.806225 0.591610i \(-0.798493\pi\)
−0.402406 + 0.915461i \(0.631826\pi\)
\(164\) 95.3870 55.0717i 0.581628 0.335803i
\(165\) −70.9288 227.535i −0.429871 1.37900i
\(166\) 131.098 + 75.6892i 0.789744 + 0.455959i
\(167\) 168.308 168.308i 1.00783 1.00783i 0.00786180 0.999969i \(-0.497497\pi\)
0.999969 0.00786180i \(-0.00250252\pi\)
\(168\) −52.3011 + 28.1531i −0.311316 + 0.167578i
\(169\) 112.215i 0.663997i
\(170\) −122.480 21.3934i −0.720471 0.125844i
\(171\) −58.8756 + 82.3667i −0.344301 + 0.481676i
\(172\) −38.9375 10.4333i −0.226381 0.0606586i
\(173\) 140.288 37.5901i 0.810914 0.217284i 0.170544 0.985350i \(-0.445448\pi\)
0.640370 + 0.768066i \(0.278781\pi\)
\(174\) 20.5211 + 94.7421i 0.117937 + 0.544495i
\(175\) 97.2096 145.517i 0.555483 0.831528i
\(176\) 63.5558i 0.361113i
\(177\) −16.9639 32.9778i −0.0958411 0.186315i
\(178\) −183.407 49.1437i −1.03037 0.276088i
\(179\) −53.3572 92.4174i −0.298085 0.516298i 0.677613 0.735419i \(-0.263015\pi\)
−0.975698 + 0.219120i \(0.929681\pi\)
\(180\) 87.1195 22.5875i 0.483997 0.125486i
\(181\) 16.9570i 0.0936850i 0.998902 + 0.0468425i \(0.0149159\pi\)
−0.998902 + 0.0468425i \(0.985084\pi\)
\(182\) −53.7261 51.7531i −0.295199 0.284358i
\(183\) 27.3020 42.3993i 0.149191 0.231690i
\(184\) −99.1628 57.2517i −0.538928 0.311150i
\(185\) −13.2509 148.702i −0.0716264 0.803796i
\(186\) −118.787 130.906i −0.638641 0.703793i
\(187\) −269.864 + 72.3099i −1.44313 + 0.386684i
\(188\) −37.0144 37.0144i −0.196885 0.196885i
\(189\) 174.910 + 71.6075i 0.925448 + 0.378876i
\(190\) −33.5015 + 72.1470i −0.176323 + 0.379721i
\(191\) 30.1768 + 17.4226i 0.157994 + 0.0912178i 0.576912 0.816806i \(-0.304257\pi\)
−0.418919 + 0.908024i \(0.637591\pi\)
\(192\) −23.9718 1.16342i −0.124853 0.00605950i
\(193\) −50.1378 + 187.117i −0.259781 + 0.969517i 0.705586 + 0.708624i \(0.250684\pi\)
−0.965368 + 0.260893i \(0.915983\pi\)
\(194\) −131.232 75.7669i −0.676454 0.390551i
\(195\) 60.4223 + 95.5283i 0.309858 + 0.489889i
\(196\) −97.9314 + 3.66498i −0.499650 + 0.0186989i
\(197\) 48.4192 + 48.4192i 0.245783 + 0.245783i 0.819237 0.573455i \(-0.194397\pi\)
−0.573455 + 0.819237i \(0.694397\pi\)
\(198\) 156.176 128.481i 0.788770 0.648892i
\(199\) 30.8142 + 53.3717i 0.154845 + 0.268200i 0.933003 0.359870i \(-0.117179\pi\)
−0.778157 + 0.628069i \(0.783845\pi\)
\(200\) 63.9891 30.0897i 0.319946 0.150448i
\(201\) 98.4048 306.890i 0.489576 1.52681i
\(202\) 79.2893 + 79.2893i 0.392521 + 0.392521i
\(203\) −38.4993 + 155.239i −0.189652 + 0.764722i
\(204\) −22.3336 103.110i −0.109479 0.505443i
\(205\) −271.252 47.3791i −1.32318 0.231118i
\(206\) 35.3122 + 61.1625i 0.171418 + 0.296905i
\(207\) 59.7764 + 359.410i 0.288775 + 1.73628i
\(208\) −7.80137 29.1151i −0.0375066 0.139977i
\(209\) 178.742i 0.855227i
\(210\) 145.452 + 29.8960i 0.692628 + 0.142362i
\(211\) 312.769 1.48232 0.741158 0.671331i \(-0.234277\pi\)
0.741158 + 0.671331i \(0.234277\pi\)
\(212\) 118.117 31.6492i 0.557154 0.149289i
\(213\) 104.213 + 5.05779i 0.489264 + 0.0237455i
\(214\) −226.124 + 130.553i −1.05666 + 0.610061i
\(215\) 57.9365 + 82.4592i 0.269472 + 0.383531i
\(216\) 45.6010 + 61.2580i 0.211116 + 0.283602i
\(217\) −80.7403 280.252i −0.372075 1.29149i
\(218\) −81.6003 + 81.6003i −0.374313 + 0.374313i
\(219\) −53.8716 + 168.006i −0.245989 + 0.767152i
\(220\) 101.936 121.881i 0.463347 0.554003i
\(221\) 114.750 66.2508i 0.519230 0.299778i
\(222\) 112.648 57.9464i 0.507423 0.261020i
\(223\) 128.865 128.865i 0.577870 0.577870i −0.356446 0.934316i \(-0.616012\pi\)
0.934316 + 0.356446i \(0.116012\pi\)
\(224\) −34.6571 19.1542i −0.154719 0.0855097i
\(225\) −203.296 96.4137i −0.903539 0.428505i
\(226\) −56.2695 + 97.4616i −0.248980 + 0.431246i
\(227\) 365.528 + 97.9428i 1.61025 + 0.431466i 0.948118 0.317918i \(-0.102984\pi\)
0.662135 + 0.749384i \(0.269650\pi\)
\(228\) −67.4175 3.27198i −0.295691 0.0143508i
\(229\) −78.9305 + 136.712i −0.344675 + 0.596994i −0.985295 0.170864i \(-0.945344\pi\)
0.640620 + 0.767858i \(0.278677\pi\)
\(230\) 98.3388 + 268.837i 0.427560 + 1.16886i
\(231\) 324.728 76.7209i 1.40575 0.332125i
\(232\) −45.6975 + 45.6975i −0.196972 + 0.196972i
\(233\) 23.7904 + 88.7869i 0.102105 + 0.381060i 0.998001 0.0632042i \(-0.0201319\pi\)
−0.895896 + 0.444264i \(0.853465\pi\)
\(234\) −55.7741 + 78.0278i −0.238351 + 0.333452i
\(235\) 11.6154 + 130.349i 0.0494274 + 0.554677i
\(236\) 12.3617 21.4111i 0.0523801 0.0907250i
\(237\) 76.0650 118.127i 0.320949 0.498425i
\(238\) 41.8998 168.950i 0.176049 0.709875i
\(239\) 77.3170 0.323502 0.161751 0.986832i \(-0.448286\pi\)
0.161751 + 0.986832i \(0.448286\pi\)
\(240\) 44.1046 + 40.6791i 0.183769 + 0.169496i
\(241\) −372.723 + 215.192i −1.54657 + 0.892912i −0.548168 + 0.836368i \(0.684675\pi\)
−0.998400 + 0.0565436i \(0.981992\pi\)
\(242\) 48.1173 179.576i 0.198832 0.742050i
\(243\) 58.3457 235.891i 0.240106 0.970747i
\(244\) 33.6195 0.137785
\(245\) 193.681 + 150.043i 0.790534 + 0.612419i
\(246\) −49.4614 228.354i −0.201062 0.928269i
\(247\) −21.9403 81.8824i −0.0888273 0.331508i
\(248\) 30.5005 113.829i 0.122986 0.458989i
\(249\) 237.808 215.793i 0.955052 0.866640i
\(250\) −170.972 44.9284i −0.683888 0.179714i
\(251\) 17.9306 0.0714367 0.0357184 0.999362i \(-0.488628\pi\)
0.0357184 + 0.999362i \(0.488628\pi\)
\(252\) 22.9930 + 123.884i 0.0912422 + 0.491604i
\(253\) 454.834 + 454.834i 1.79776 + 1.79776i
\(254\) 29.9204 51.8237i 0.117797 0.204030i
\(255\) −122.548 + 233.555i −0.480581 + 0.915900i
\(256\) −8.00000 13.8564i −0.0312500 0.0541266i
\(257\) 39.1745 + 146.201i 0.152430 + 0.568876i 0.999312 + 0.0370950i \(0.0118104\pi\)
−0.846882 + 0.531781i \(0.821523\pi\)
\(258\) −46.2961 + 71.8965i −0.179442 + 0.278669i
\(259\) 208.972 3.90890i 0.806840 0.0150923i
\(260\) −31.7367 + 68.3464i −0.122064 + 0.262871i
\(261\) 204.672 + 19.9136i 0.784185 + 0.0762975i
\(262\) 60.1826 224.605i 0.229705 0.857270i
\(263\) 427.661 + 114.591i 1.62609 + 0.435709i 0.952782 0.303655i \(-0.0982070\pi\)
0.673306 + 0.739364i \(0.264874\pi\)
\(264\) 128.384 + 41.1665i 0.486302 + 0.155934i
\(265\) −277.273 128.752i −1.04631 0.485856i
\(266\) −97.4686 53.8686i −0.366423 0.202514i
\(267\) −218.067 + 338.653i −0.816732 + 1.26836i
\(268\) 207.533 55.6082i 0.774376 0.207493i
\(269\) −53.4816 + 30.8776i −0.198817 + 0.114787i −0.596103 0.802908i \(-0.703285\pi\)
0.397287 + 0.917694i \(0.369952\pi\)
\(270\) 10.8021 190.613i 0.0400076 0.705974i
\(271\) 100.182 + 57.8400i 0.369675 + 0.213432i 0.673316 0.739355i \(-0.264869\pi\)
−0.303642 + 0.952786i \(0.598203\pi\)
\(272\) 49.7338 49.7338i 0.182845 0.182845i
\(273\) −139.342 + 75.0059i −0.510409 + 0.274747i
\(274\) 50.6354i 0.184801i
\(275\) −390.965 + 70.2357i −1.42169 + 0.255402i
\(276\) −179.879 + 163.227i −0.651736 + 0.591402i
\(277\) 361.333 + 96.8189i 1.30445 + 0.349527i 0.843132 0.537707i \(-0.180709\pi\)
0.461320 + 0.887234i \(0.347376\pi\)
\(278\) −39.8424 + 10.6757i −0.143318 + 0.0384019i
\(279\) −341.372 + 155.161i −1.22356 + 0.556134i
\(280\) 35.7407 + 92.3179i 0.127645 + 0.329707i
\(281\) 236.224i 0.840656i −0.907372 0.420328i \(-0.861915\pi\)
0.907372 0.420328i \(-0.138085\pi\)
\(282\) −98.7446 + 50.7946i −0.350158 + 0.180123i
\(283\) −22.9106 6.13887i −0.0809561 0.0216921i 0.218114 0.975923i \(-0.430010\pi\)
−0.299070 + 0.954231i \(0.596676\pi\)
\(284\) 34.7786 + 60.2384i 0.122460 + 0.212107i
\(285\) 124.038 + 114.405i 0.435222 + 0.401420i
\(286\) 169.327i 0.592051i
\(287\) 92.7937 374.167i 0.323323 1.30372i
\(288\) −17.8772 + 47.6698i −0.0620735 + 0.165520i
\(289\) 17.4774 + 10.0906i 0.0604754 + 0.0349155i
\(290\) 160.927 14.3403i 0.554922 0.0494492i
\(291\) −238.052 + 216.015i −0.818049 + 0.742319i
\(292\) −113.613 + 30.4426i −0.389087 + 0.104256i
\(293\) 89.0653 + 89.0653i 0.303977 + 0.303977i 0.842568 0.538591i \(-0.181043\pi\)
−0.538591 + 0.842568i \(0.681043\pi\)
\(294\) −56.0290 + 200.197i −0.190575 + 0.680941i
\(295\) −58.0469 + 21.2332i −0.196769 + 0.0719769i
\(296\) 73.1376 + 42.2260i 0.247087 + 0.142655i
\(297\) −158.374 398.698i −0.533245 1.34242i
\(298\) 45.9617 171.532i 0.154234 0.575609i
\(299\) −264.191 152.531i −0.883583 0.510137i
\(300\) −19.3344 148.749i −0.0644481 0.495829i
\(301\) −120.846 + 72.8172i −0.401481 + 0.241918i
\(302\) −186.213 186.213i −0.616599 0.616599i
\(303\) 211.523 108.808i 0.698095 0.359103i
\(304\) −22.4989 38.9693i −0.0740097 0.128189i
\(305\) −64.4718 53.9218i −0.211383 0.176793i
\(306\) −222.750 21.6725i −0.727942 0.0708253i
\(307\) 79.6418 + 79.6418i 0.259419 + 0.259419i 0.824818 0.565398i \(-0.191278\pi\)
−0.565398 + 0.824818i \(0.691278\pi\)
\(308\) 160.207 + 154.323i 0.520152 + 0.501050i
\(309\) 146.422 31.7148i 0.473856 0.102637i
\(310\) −241.060 + 169.371i −0.777613 + 0.546357i
\(311\) −53.4146 92.5167i −0.171751 0.297481i 0.767281 0.641311i \(-0.221609\pi\)
−0.939032 + 0.343829i \(0.888276\pi\)
\(312\) −63.8661 3.09962i −0.204699 0.00993466i
\(313\) −34.8889 130.207i −0.111466 0.415998i 0.887532 0.460746i \(-0.152418\pi\)
−0.998998 + 0.0447483i \(0.985751\pi\)
\(314\) 148.943i 0.474341i
\(315\) 154.603 274.450i 0.490802 0.871271i
\(316\) 93.6657 0.296410
\(317\) −317.743 + 85.1391i −1.00235 + 0.268578i −0.722428 0.691447i \(-0.756974\pi\)
−0.279917 + 0.960024i \(0.590307\pi\)
\(318\) 12.5748 259.097i 0.0395433 0.814771i
\(319\) 314.404 181.521i 0.985593 0.569033i
\(320\) −6.88254 + 39.4034i −0.0215079 + 0.123136i
\(321\) 117.253 + 541.336i 0.365275 + 1.68641i
\(322\) −385.098 + 110.946i −1.19596 + 0.344554i
\(323\) 139.870 139.870i 0.433033 0.433033i
\(324\) 153.279 52.4365i 0.473083 0.161841i
\(325\) 170.481 80.1655i 0.524557 0.246663i
\(326\) −249.795 + 144.219i −0.766241 + 0.442390i
\(327\) 111.979 + 217.688i 0.342445 + 0.665713i
\(328\) 110.143 110.143i 0.335803 0.335803i
\(329\) −183.180 + 3.42645i −0.556778 + 0.0104148i
\(330\) −180.174 284.857i −0.545982 0.863204i
\(331\) −275.493 + 477.168i −0.832305 + 1.44160i 0.0639004 + 0.997956i \(0.479646\pi\)
−0.896206 + 0.443639i \(0.853687\pi\)
\(332\) 206.787 + 55.4084i 0.622852 + 0.166893i
\(333\) −44.0882 265.083i −0.132397 0.796046i
\(334\) 168.308 291.518i 0.503915 0.872807i
\(335\) −487.174 226.219i −1.45425 0.675281i
\(336\) −61.1399 + 57.6013i −0.181964 + 0.171433i
\(337\) 174.856 174.856i 0.518861 0.518861i −0.398366 0.917227i \(-0.630423\pi\)
0.917227 + 0.398366i \(0.130423\pi\)
\(338\) 41.0737 + 153.289i 0.121520 + 0.453518i
\(339\) 160.427 + 176.793i 0.473236 + 0.521514i
\(340\) −175.141 + 15.6069i −0.515122 + 0.0459026i
\(341\) −331.002 + 573.313i −0.970681 + 1.68127i
\(342\) −50.2772 + 134.065i −0.147009 + 0.392003i
\(343\) −228.554 + 255.758i −0.666339 + 0.745649i
\(344\) −57.0085 −0.165722
\(345\) 606.751 24.5142i 1.75870 0.0710556i
\(346\) 177.878 102.698i 0.514099 0.296815i
\(347\) 32.4333 121.043i 0.0934678 0.348827i −0.903315 0.428978i \(-0.858874\pi\)
0.996783 + 0.0801515i \(0.0255404\pi\)
\(348\) 62.7103 + 121.909i 0.180202 + 0.350313i
\(349\) 82.2163 0.235577 0.117788 0.993039i \(-0.462420\pi\)
0.117788 + 0.993039i \(0.462420\pi\)
\(350\) 79.5277 234.362i 0.227222 0.669604i
\(351\) 121.491 + 163.205i 0.346129 + 0.464971i
\(352\) 23.2630 + 86.8189i 0.0660882 + 0.246644i
\(353\) 108.630 405.413i 0.307734 1.14848i −0.622832 0.782356i \(-0.714018\pi\)
0.930566 0.366124i \(-0.119315\pi\)
\(354\) −35.2438 38.8393i −0.0995587 0.109715i
\(355\) 29.9207 171.300i 0.0842836 0.482534i
\(356\) −268.526 −0.754286
\(357\) −314.142 194.071i −0.879950 0.543616i
\(358\) −106.714 106.714i −0.298085 0.298085i
\(359\) 222.108 384.703i 0.618687 1.07160i −0.371039 0.928617i \(-0.620998\pi\)
0.989726 0.142979i \(-0.0456683\pi\)
\(360\) 110.740 62.7431i 0.307611 0.174286i
\(361\) 117.225 + 203.039i 0.324722 + 0.562435i
\(362\) 6.20669 + 23.1637i 0.0171455 + 0.0639880i
\(363\) −331.580 213.513i −0.913443 0.588190i
\(364\) −92.3342 51.0309i −0.253665 0.140195i
\(365\) 266.702 + 123.843i 0.730692 + 0.339297i
\(366\) 21.7761 67.9118i 0.0594974 0.185551i
\(367\) 144.420 538.984i 0.393516 1.46862i −0.430777 0.902458i \(-0.641761\pi\)
0.824293 0.566163i \(-0.191573\pi\)
\(368\) −156.414 41.9111i −0.425039 0.113889i
\(369\) −493.316 47.9973i −1.33690 0.130074i
\(370\) −72.5299 198.281i −0.196027 0.535895i
\(371\) 207.026 374.589i 0.558023 1.00967i
\(372\) −210.181 135.341i −0.565003 0.363820i
\(373\) 297.089 79.6048i 0.796485 0.213418i 0.162445 0.986718i \(-0.448062\pi\)
0.634040 + 0.773300i \(0.281395\pi\)
\(374\) −342.174 + 197.554i −0.914905 + 0.528220i
\(375\) −201.498 + 316.265i −0.537329 + 0.843373i
\(376\) −64.1108 37.0144i −0.170507 0.0984425i
\(377\) −121.748 + 121.748i −0.322939 + 0.322939i
\(378\) 265.141 + 33.7963i 0.701432 + 0.0894083i
\(379\) 7.39316i 0.0195070i −0.999952 0.00975351i \(-0.996895\pi\)
0.999952 0.00975351i \(-0.00310469\pi\)
\(380\) −19.3562 + 110.817i −0.0509374 + 0.291624i
\(381\) −85.3045 94.0070i −0.223896 0.246738i
\(382\) 47.5994 + 12.7542i 0.124606 + 0.0333880i
\(383\) −159.487 + 42.7344i −0.416415 + 0.111578i −0.460942 0.887430i \(-0.652488\pi\)
0.0445273 + 0.999008i \(0.485822\pi\)
\(384\) −33.1719 + 7.18502i −0.0863852 + 0.0187110i
\(385\) −59.7106 552.898i −0.155092 1.43610i
\(386\) 273.958i 0.709736i
\(387\) 115.245 + 140.088i 0.297791 + 0.361984i
\(388\) −206.999 55.4652i −0.533503 0.142952i
\(389\) 209.686 + 363.187i 0.539038 + 0.933641i 0.998956 + 0.0456801i \(0.0145455\pi\)
−0.459918 + 0.887961i \(0.652121\pi\)
\(390\) 117.504 + 108.378i 0.301293 + 0.277892i
\(391\) 711.835i 1.82055i
\(392\) −132.435 + 40.8518i −0.337845 + 0.104214i
\(393\) −414.723 267.051i −1.05527 0.679519i
\(394\) 83.8645 + 48.4192i 0.212854 + 0.122891i
\(395\) −179.622 150.229i −0.454739 0.380327i
\(396\) 166.314 232.672i 0.419984 0.587556i
\(397\) −291.896 + 78.2133i −0.735255 + 0.197011i −0.606968 0.794726i \(-0.707614\pi\)
−0.128287 + 0.991737i \(0.540948\pi\)
\(398\) 61.6284 + 61.6284i 0.154845 + 0.154845i
\(399\) −171.948 + 161.996i −0.430947 + 0.406005i
\(400\) 76.3972 64.5249i 0.190993 0.161312i
\(401\) 322.132 + 185.983i 0.803320 + 0.463797i 0.844631 0.535349i \(-0.179820\pi\)
−0.0413104 + 0.999146i \(0.513153\pi\)
\(402\) 22.0941 455.238i 0.0549604 1.13243i
\(403\) 81.2600 303.266i 0.201638 0.752522i
\(404\) 137.333 + 79.2893i 0.339933 + 0.196261i
\(405\) −378.044 145.284i −0.933442 0.358727i
\(406\) 4.23026 + 226.152i 0.0104193 + 0.557024i
\(407\) −335.464 335.464i −0.824235 0.824235i
\(408\) −68.2493 132.677i −0.167278 0.325188i
\(409\) 148.294 + 256.853i 0.362577 + 0.628001i 0.988384 0.151976i \(-0.0485637\pi\)
−0.625807 + 0.779978i \(0.715230\pi\)
\(410\) −387.879 + 34.5639i −0.946045 + 0.0843023i
\(411\) 102.284 + 32.7976i 0.248866 + 0.0797996i
\(412\) 70.6243 + 70.6243i 0.171418 + 0.171418i
\(413\) −23.9554 83.1500i −0.0580033 0.201332i
\(414\) 213.209 + 469.084i 0.514998 + 1.13305i
\(415\) −307.685 437.919i −0.741410 1.05523i
\(416\) −21.3138 36.9165i −0.0512350 0.0887416i
\(417\) −4.24165 + 87.3971i −0.0101718 + 0.209585i
\(418\) 65.4242 + 244.167i 0.156517 + 0.584131i
\(419\) 564.525i 1.34732i −0.739044 0.673658i \(-0.764722\pi\)
0.739044 0.673658i \(-0.235278\pi\)
\(420\) 209.634 12.4003i 0.499128 0.0295246i
\(421\) −576.949 −1.37043 −0.685213 0.728343i \(-0.740291\pi\)
−0.685213 + 0.728343i \(0.740291\pi\)
\(422\) 427.250 114.481i 1.01244 0.271283i
\(423\) 38.6467 + 232.366i 0.0913633 + 0.549329i
\(424\) 149.766 86.4673i 0.353221 0.203932i
\(425\) 360.899 + 250.978i 0.849175 + 0.590536i
\(426\) 144.209 31.2356i 0.338519 0.0733231i
\(427\) 81.6333 84.7454i 0.191179 0.198467i
\(428\) −261.106 + 261.106i −0.610061 + 0.610061i
\(429\) 342.042 + 109.677i 0.797301 + 0.255656i
\(430\) 109.325 + 91.4351i 0.254244 + 0.212640i
\(431\) −443.346 + 255.966i −1.02864 + 0.593888i −0.916596 0.399815i \(-0.869075\pi\)
−0.112048 + 0.993703i \(0.535741\pi\)
\(432\) 84.7142 + 66.9889i 0.196098 + 0.155067i
\(433\) 545.122 545.122i 1.25894 1.25894i 0.307343 0.951599i \(-0.400560\pi\)
0.951599 0.307343i \(-0.0994400\pi\)
\(434\) −212.873 353.279i −0.490490 0.814006i
\(435\) 75.2686 334.364i 0.173031 0.768653i
\(436\) −81.6003 + 141.336i −0.187157 + 0.324165i
\(437\) −439.895 117.869i −1.00662 0.269724i
\(438\) −12.0954 + 249.219i −0.0276150 + 0.568994i
\(439\) −135.516 + 234.721i −0.308693 + 0.534673i −0.978077 0.208245i \(-0.933225\pi\)
0.669383 + 0.742917i \(0.266558\pi\)
\(440\) 94.6361 203.803i 0.215082 0.463189i
\(441\) 368.109 + 242.851i 0.834714 + 0.550683i
\(442\) 132.502 132.502i 0.299778 0.299778i
\(443\) −29.6092 110.503i −0.0668380 0.249443i 0.924421 0.381374i \(-0.124549\pi\)
−0.991259 + 0.131931i \(0.957882\pi\)
\(444\) 132.670 120.388i 0.298806 0.271145i
\(445\) 514.951 + 430.685i 1.15719 + 0.967831i
\(446\) 128.865 223.201i 0.288935 0.500450i
\(447\) −316.726 203.948i −0.708559 0.456260i
\(448\) −54.3535 13.4797i −0.121325 0.0300886i
\(449\) −113.813 −0.253482 −0.126741 0.991936i \(-0.540452\pi\)
−0.126741 + 0.991936i \(0.540452\pi\)
\(450\) −312.998 57.2919i −0.695551 0.127315i
\(451\) −757.799 + 437.516i −1.68026 + 0.970101i
\(452\) −41.1921 + 153.731i −0.0911330 + 0.340113i
\(453\) −496.767 + 255.538i −1.09662 + 0.564103i
\(454\) 535.169 1.17879
\(455\) 95.2210 + 245.955i 0.209277 + 0.540561i
\(456\) −93.2916 + 20.2069i −0.204587 + 0.0443134i
\(457\) 178.486 + 666.119i 0.390560 + 1.45759i 0.829212 + 0.558934i \(0.188789\pi\)
−0.438652 + 0.898657i \(0.644544\pi\)
\(458\) −57.7812 + 215.642i −0.126160 + 0.470835i
\(459\) −188.059 + 435.921i −0.409715 + 0.949718i
\(460\) 232.734 + 331.244i 0.505944 + 0.720095i
\(461\) −195.653 −0.424410 −0.212205 0.977225i \(-0.568065\pi\)
−0.212205 + 0.977225i \(0.568065\pi\)
\(462\) 415.505 223.661i 0.899361 0.484116i
\(463\) 478.759 + 478.759i 1.03404 + 1.03404i 0.999400 + 0.0346360i \(0.0110272\pi\)
0.0346360 + 0.999400i \(0.488973\pi\)
\(464\) −45.6975 + 79.1504i −0.0984860 + 0.170583i
\(465\) 185.991 + 596.649i 0.399981 + 1.28312i
\(466\) 64.9965 + 112.577i 0.139478 + 0.241582i
\(467\) 26.7812 + 99.9487i 0.0573472 + 0.214023i 0.988653 0.150214i \(-0.0479964\pi\)
−0.931306 + 0.364237i \(0.881330\pi\)
\(468\) −47.6287 + 127.003i −0.101771 + 0.271373i
\(469\) 363.749 658.159i 0.775584 1.40332i
\(470\) 63.5781 + 173.809i 0.135273 + 0.369806i
\(471\) 300.867 + 96.4737i 0.638784 + 0.204827i
\(472\) 9.04940 33.7728i 0.0191724 0.0715526i
\(473\) 309.338 + 82.8870i 0.653992 + 0.175237i
\(474\) 60.6693 189.206i 0.127994 0.399169i
\(475\) 214.857 181.468i 0.452331 0.382038i
\(476\) −4.60390 246.127i −0.00967205 0.517073i
\(477\) −515.235 193.224i −1.08016 0.405082i
\(478\) 105.617 28.3000i 0.220956 0.0592050i
\(479\) −170.076 + 98.1933i −0.355064 + 0.204997i −0.666914 0.745135i \(-0.732385\pi\)
0.311849 + 0.950132i \(0.399052\pi\)
\(480\) 75.1375 + 39.4253i 0.156537 + 0.0821360i
\(481\) 194.855 + 112.499i 0.405103 + 0.233886i
\(482\) −430.383 + 430.383i −0.892912 + 0.892912i
\(483\) −25.3235 + 849.766i −0.0524297 + 1.75935i
\(484\) 262.918i 0.543218i
\(485\) 308.001 + 438.368i 0.635054 + 0.903852i
\(486\) −6.64051 343.590i −0.0136636 0.706975i
\(487\) −93.4744 25.0464i −0.191939 0.0514299i 0.161569 0.986861i \(-0.448345\pi\)
−0.353508 + 0.935431i \(0.615011\pi\)
\(488\) 45.9250 12.3056i 0.0941087 0.0252163i
\(489\) 129.527 + 598.002i 0.264881 + 1.22291i
\(490\) 319.492 + 134.070i 0.652025 + 0.273612i
\(491\) 54.8531i 0.111717i −0.998439 0.0558585i \(-0.982210\pi\)
0.998439 0.0558585i \(-0.0177896\pi\)
\(492\) −151.149 293.833i −0.307213 0.597222i
\(493\) −388.072 103.984i −0.787165 0.210920i
\(494\) −59.9421 103.823i −0.121340 0.210168i
\(495\) −692.119 + 179.446i −1.39822 + 0.362517i
\(496\) 166.658i 0.336004i
\(497\) 236.292 + 58.6007i 0.475437 + 0.117909i
\(498\) 245.866 381.823i 0.493707 0.766713i
\(499\) −617.735 356.650i −1.23795 0.714729i −0.269272 0.963064i \(-0.586783\pi\)
−0.968674 + 0.248335i \(0.920117\pi\)
\(500\) −249.997 + 1.20671i −0.499994 + 0.00241343i
\(501\) −479.853 528.806i −0.957790 1.05550i
\(502\) 24.4937 6.56306i 0.0487922 0.0130738i
\(503\) 662.424 + 662.424i 1.31695 + 1.31695i 0.916180 + 0.400767i \(0.131256\pi\)
0.400767 + 0.916180i \(0.368744\pi\)
\(504\) 76.7539 + 160.813i 0.152289 + 0.319074i
\(505\) −136.192 372.319i −0.269687 0.737266i
\(506\) 787.796 + 454.834i 1.55691 + 0.898882i
\(507\) 336.251 + 16.3193i 0.663216 + 0.0321879i
\(508\) 21.9033 81.7441i 0.0431167 0.160914i
\(509\) 330.632 + 190.890i 0.649572 + 0.375030i 0.788292 0.615301i \(-0.210966\pi\)
−0.138721 + 0.990332i \(0.544299\pi\)
\(510\) −81.9168 + 363.897i −0.160621 + 0.713524i
\(511\) −199.134 + 360.308i −0.389694 + 0.705104i
\(512\) −16.0000 16.0000i −0.0312500 0.0312500i
\(513\) 238.247 + 188.397i 0.464420 + 0.367246i
\(514\) 107.027 + 185.376i 0.208223 + 0.360653i
\(515\) −22.1625 248.709i −0.0430340 0.482931i
\(516\) −36.9257 + 115.158i −0.0715613 + 0.223174i
\(517\) 294.060 + 294.060i 0.568781 + 0.568781i
\(518\) 284.030 81.8286i 0.548320 0.157970i
\(519\) −92.2358 425.836i −0.177718 0.820493i
\(520\) −18.3366 + 104.979i −0.0352627 + 0.201883i
\(521\) −389.610 674.824i −0.747812 1.29525i −0.948870 0.315668i \(-0.897771\pi\)
0.201058 0.979579i \(-0.435562\pi\)
\(522\) 286.876 47.7127i 0.549572 0.0914037i
\(523\) −56.6393 211.381i −0.108297 0.404170i 0.890401 0.455176i \(-0.150424\pi\)
−0.998698 + 0.0510066i \(0.983757\pi\)
\(524\) 328.844i 0.627565i
\(525\) −421.902 312.448i −0.803622 0.595139i
\(526\) 626.139 1.19038
\(527\) 707.646 189.613i 1.34278 0.359797i
\(528\) 190.443 + 9.24279i 0.360688 + 0.0175053i
\(529\) −961.181 + 554.938i −1.81698 + 1.04903i
\(530\) −425.889 74.3893i −0.803564 0.140357i
\(531\) −101.284 + 46.0359i −0.190742 + 0.0866966i
\(532\) −152.862 37.9099i −0.287334 0.0712592i
\(533\) 293.446 293.446i 0.550555 0.550555i
\(534\) −173.930 + 542.426i −0.325712 + 1.01578i
\(535\) 919.505 81.9373i 1.71870 0.153154i
\(536\) 263.141 151.925i 0.490935 0.283441i
\(537\) −284.686 + 146.443i −0.530141 + 0.272706i
\(538\) −61.7553 + 61.7553i −0.114787 + 0.114787i
\(539\) 778.014 29.1163i 1.44344 0.0540191i
\(540\) −55.0133 264.336i −0.101877 0.489511i
\(541\) 280.957 486.632i 0.519329 0.899504i −0.480419 0.877039i \(-0.659515\pi\)
0.999748 0.0224649i \(-0.00715140\pi\)
\(542\) 158.022 + 42.3418i 0.291553 + 0.0781215i
\(543\) 50.8111 + 2.46602i 0.0935749 + 0.00454147i
\(544\) 49.7338 86.1414i 0.0914224 0.158348i
\(545\) 383.171 140.161i 0.703066 0.257177i
\(546\) −162.890 + 153.463i −0.298333 + 0.281067i
\(547\) −706.567 + 706.567i −1.29171 + 1.29171i −0.357987 + 0.933727i \(0.616537\pi\)
−0.933727 + 0.357987i \(0.883463\pi\)
\(548\) 18.5338 + 69.1692i 0.0338208 + 0.126221i
\(549\) −123.078 87.9759i −0.224186 0.160247i
\(550\) −508.360 + 239.047i −0.924291 + 0.434631i
\(551\) −128.518 + 222.600i −0.233245 + 0.403993i
\(552\) −185.974 + 288.813i −0.336910 + 0.523211i
\(553\) 227.435 236.105i 0.411274 0.426954i
\(554\) 529.028 0.954925
\(555\) −447.510 + 18.0805i −0.806323 + 0.0325774i
\(556\) −50.5181 + 29.1666i −0.0908599 + 0.0524580i
\(557\) 138.355 516.348i 0.248393 0.927016i −0.723254 0.690582i \(-0.757355\pi\)
0.971648 0.236434i \(-0.0759787\pi\)
\(558\) −409.530 + 336.905i −0.733925 + 0.603773i
\(559\) −151.883 −0.271705
\(560\) 82.6134 + 113.027i 0.147524 + 0.201833i
\(561\) 177.429 + 819.157i 0.316273 + 1.46017i
\(562\) −86.4641 322.689i −0.153851 0.574179i
\(563\) −45.3296 + 169.172i −0.0805144 + 0.300484i −0.994427 0.105427i \(-0.966379\pi\)
0.913913 + 0.405911i \(0.133046\pi\)
\(564\) −116.296 + 105.530i −0.206198 + 0.187109i
\(565\) 325.561 228.742i 0.576214 0.404853i
\(566\) −33.5434 −0.0592640
\(567\) 240.007 513.698i 0.423292 0.905993i
\(568\) 69.5573 + 69.5573i 0.122460 + 0.122460i
\(569\) 3.43082 5.94235i 0.00602955 0.0104435i −0.862995 0.505213i \(-0.831414\pi\)
0.869024 + 0.494769i \(0.164747\pi\)
\(570\) 211.314 + 110.878i 0.370727 + 0.194524i
\(571\) −282.742 489.723i −0.495169 0.857658i 0.504815 0.863227i \(-0.331561\pi\)
−0.999984 + 0.00556934i \(0.998227\pi\)
\(572\) 61.9778 + 231.304i 0.108353 + 0.404378i
\(573\) 56.5949 87.8903i 0.0987694 0.153386i
\(574\) −10.1961 545.086i −0.0177632 0.949628i
\(575\) 84.9634 1008.50i 0.147762 1.75392i
\(576\) −6.97233 + 71.6616i −0.0121047 + 0.124413i
\(577\) 173.275 646.672i 0.300304 1.12075i −0.636610 0.771186i \(-0.719664\pi\)
0.936913 0.349562i \(-0.113670\pi\)
\(578\) 27.5680 + 7.38681i 0.0476954 + 0.0127799i
\(579\) 553.399 + 177.449i 0.955784 + 0.306474i
\(580\) 214.582 78.4927i 0.369969 0.135332i
\(581\) 641.780 386.713i 1.10461 0.665599i
\(582\) −246.118 + 382.215i −0.422884 + 0.656727i
\(583\) −938.375 + 251.437i −1.60956 + 0.431281i
\(584\) −144.056 + 83.1709i −0.246671 + 0.142416i
\(585\) 295.035 167.161i 0.504334 0.285746i
\(586\) 154.266 + 89.0653i 0.263252 + 0.151989i
\(587\) 120.200 120.200i 0.204770 0.204770i −0.597270 0.802040i \(-0.703748\pi\)
0.802040 + 0.597270i \(0.203748\pi\)
\(588\) −3.25997 + 293.982i −0.00554416 + 0.499969i
\(589\) 468.703i 0.795761i
\(590\) −71.5217 + 50.2517i −0.121223 + 0.0851724i
\(591\) 152.128 138.045i 0.257408 0.233579i
\(592\) 115.364 + 30.9116i 0.194871 + 0.0522155i
\(593\) −578.491 + 155.006i −0.975534 + 0.261393i −0.711163 0.703028i \(-0.751831\pi\)
−0.264371 + 0.964421i \(0.585164\pi\)
\(594\) −362.276 486.663i −0.609893 0.819298i
\(595\) −385.930 + 479.380i −0.648622 + 0.805680i
\(596\) 251.140i 0.421375i
\(597\) 164.408 84.5721i 0.275391 0.141662i
\(598\) −416.722 111.660i −0.696860 0.186723i
\(599\) −312.822 541.824i −0.522241 0.904548i −0.999665 0.0258747i \(-0.991763\pi\)
0.477424 0.878673i \(-0.341570\pi\)
\(600\) −80.8571 196.118i −0.134762 0.326863i
\(601\) 564.677i 0.939563i −0.882783 0.469782i \(-0.844333\pi\)
0.882783 0.469782i \(-0.155667\pi\)
\(602\) −138.426 + 143.703i −0.229943 + 0.238709i
\(603\) −905.276 339.498i −1.50129 0.563015i
\(604\) −322.530 186.213i −0.533990 0.308299i
\(605\) −421.690 + 504.196i −0.697008 + 0.833381i
\(606\) 249.119 226.057i 0.411088 0.373032i
\(607\) 432.927 116.002i 0.713224 0.191108i 0.116078 0.993240i \(-0.462968\pi\)
0.597146 + 0.802132i \(0.296301\pi\)
\(608\) −44.9979 44.9979i −0.0740097 0.0740097i
\(609\) 459.569 + 137.938i 0.754629 + 0.226499i
\(610\) −107.807 50.0602i −0.176733 0.0820658i
\(611\) −170.805 98.6145i −0.279550 0.161398i
\(612\) −312.215 + 51.9270i −0.510155 + 0.0848480i
\(613\) 157.847 589.092i 0.257499 0.960998i −0.709185 0.705023i \(-0.750937\pi\)
0.966683 0.255975i \(-0.0823966\pi\)
\(614\) 137.944 + 79.6418i 0.224664 + 0.129710i
\(615\) −181.418 + 805.908i −0.294988 + 1.31042i
\(616\) 275.333 + 152.170i 0.446969 + 0.247029i
\(617\) 717.965 + 717.965i 1.16364 + 1.16364i 0.983673 + 0.179965i \(0.0575985\pi\)
0.179965 + 0.983673i \(0.442402\pi\)
\(618\) 188.407 96.9172i 0.304866 0.156824i
\(619\) 282.875 + 489.955i 0.456988 + 0.791526i 0.998800 0.0489736i \(-0.0155950\pi\)
−0.541812 + 0.840499i \(0.682262\pi\)
\(620\) −267.300 + 319.599i −0.431129 + 0.515482i
\(621\) 1085.66 126.850i 1.74824 0.204267i
\(622\) −106.829 106.829i −0.171751 0.171751i
\(623\) −652.023 + 676.880i −1.04659 + 1.08649i
\(624\) −88.3772 + 19.1425i −0.141630 + 0.0306770i
\(625\) 481.353 + 398.653i 0.770165 + 0.637844i
\(626\) −95.3183 165.096i −0.152266 0.263732i
\(627\) 535.597 + 25.9941i 0.854221 + 0.0414579i
\(628\) 54.5170 + 203.460i 0.0868105 + 0.323981i
\(629\) 525.015i 0.834682i
\(630\) 110.735 431.495i 0.175770 0.684912i
\(631\) 1216.92 1.92856 0.964281 0.264880i \(-0.0853323\pi\)
0.964281 + 0.264880i \(0.0853323\pi\)
\(632\) 127.950 34.2840i 0.202452 0.0542469i
\(633\) 45.4853 937.203i 0.0718567 1.48057i
\(634\) −402.882 + 232.604i −0.635461 + 0.366884i
\(635\) −173.112 + 121.630i −0.272617 + 0.191543i
\(636\) −77.6587 358.536i −0.122105 0.563736i
\(637\) −352.837 + 108.838i −0.553904 + 0.170861i
\(638\) 363.043 363.043i 0.569033 0.569033i
\(639\) 30.3110 311.537i 0.0474351 0.487538i
\(640\) 5.02094 + 56.3453i 0.00784521 + 0.0880395i
\(641\) 14.4603 8.34866i 0.0225590 0.0130244i −0.488678 0.872464i \(-0.662521\pi\)
0.511237 + 0.859440i \(0.329187\pi\)
\(642\) 358.314 + 696.562i 0.558121 + 1.08499i
\(643\) −838.779 + 838.779i −1.30448 + 1.30448i −0.379137 + 0.925341i \(0.623779\pi\)
−0.925341 + 0.379137i \(0.876221\pi\)
\(644\) −485.445 + 292.511i −0.753797 + 0.454210i
\(645\) 255.512 161.613i 0.396143 0.250563i
\(646\) 139.870 242.261i 0.216517 0.375018i
\(647\) −195.284 52.3263i −0.301830 0.0808752i 0.104725 0.994501i \(-0.466604\pi\)
−0.406556 + 0.913626i \(0.633270\pi\)
\(648\) 190.190 127.734i 0.293503 0.197120i
\(649\) −98.2073 + 170.100i −0.151321 + 0.262096i
\(650\) 203.539 171.909i 0.313137 0.264475i
\(651\) −851.510 + 201.180i −1.30800 + 0.309032i
\(652\) −288.438 + 288.438i −0.442390 + 0.442390i
\(653\) −206.448 770.473i −0.316152 1.17990i −0.922912 0.385011i \(-0.874198\pi\)
0.606759 0.794886i \(-0.292469\pi\)
\(654\) 232.646 + 256.380i 0.355728 + 0.392019i
\(655\) −527.428 + 630.622i −0.805234 + 0.962782i
\(656\) 110.143 190.774i 0.167901 0.290814i
\(657\) 495.592 + 185.858i 0.754326 + 0.282888i
\(658\) −248.974 + 71.7291i −0.378380 + 0.109011i
\(659\) −897.874 −1.36248 −0.681240 0.732061i \(-0.738559\pi\)
−0.681240 + 0.732061i \(0.738559\pi\)
\(660\) −350.388 323.174i −0.530890 0.489658i
\(661\) −373.944 + 215.897i −0.565725 + 0.326621i −0.755440 0.655218i \(-0.772577\pi\)
0.189715 + 0.981839i \(0.439244\pi\)
\(662\) −201.675 + 752.661i −0.304645 + 1.13695i
\(663\) −181.831 353.479i −0.274255 0.533152i
\(664\) 302.757 0.455959
\(665\) 232.339 + 317.873i 0.349382 + 0.478004i
\(666\) −157.253 345.973i −0.236115 0.519480i
\(667\) 239.404 + 893.469i 0.358927 + 1.33953i
\(668\) 123.210 459.825i 0.184446 0.688361i
\(669\) −367.400 404.881i −0.549177 0.605203i
\(670\) −748.294 130.703i −1.11686 0.195080i
\(671\) −267.089 −0.398046
\(672\) −62.4351 + 101.064i −0.0929094 + 0.150392i
\(673\) 286.300 + 286.300i 0.425408 + 0.425408i 0.887061 0.461653i \(-0.152743\pi\)
−0.461653 + 0.887061i \(0.652743\pi\)
\(674\) 174.856 302.860i 0.259430 0.449347i
\(675\) −318.466 + 595.151i −0.471802 + 0.881705i
\(676\) 112.215 + 194.363i 0.165999 + 0.287519i
\(677\) 26.5015 + 98.9049i 0.0391455 + 0.146093i 0.982733 0.185031i \(-0.0592387\pi\)
−0.943587 + 0.331124i \(0.892572\pi\)
\(678\) 283.858 + 182.784i 0.418670 + 0.269592i
\(679\) −642.439 + 387.110i −0.946154 + 0.570117i
\(680\) −233.535 + 85.4256i −0.343434 + 0.125626i
\(681\) 346.641 1081.05i 0.509017 1.58744i
\(682\) −242.310 + 904.315i −0.355294 + 1.32597i
\(683\) −733.390 196.511i −1.07378 0.287718i −0.321733 0.946831i \(-0.604265\pi\)
−0.752044 + 0.659113i \(0.770932\pi\)
\(684\) −19.6088 + 201.539i −0.0286678 + 0.294647i
\(685\) 75.3972 162.371i 0.110069 0.237039i
\(686\) −218.597 + 433.028i −0.318655 + 0.631236i
\(687\) 398.174 + 256.395i 0.579584 + 0.373210i
\(688\) −77.8751 + 20.8666i −0.113191 + 0.0303293i
\(689\) 399.009 230.368i 0.579113 0.334351i
\(690\) 819.864 255.573i 1.18821 0.370396i
\(691\) −651.620 376.213i −0.943010 0.544447i −0.0521077 0.998641i \(-0.516594\pi\)
−0.890903 + 0.454194i \(0.849927\pi\)
\(692\) 205.396 205.396i 0.296815 0.296815i
\(693\) −182.668 984.196i −0.263590 1.42020i
\(694\) 177.219i 0.255359i
\(695\) 143.658 + 25.0926i 0.206703 + 0.0361044i
\(696\) 130.286 + 143.577i 0.187192 + 0.206289i
\(697\) 935.360 + 250.629i 1.34198 + 0.359582i
\(698\) 112.310 30.0933i 0.160902 0.0431135i
\(699\) 269.507 58.3751i 0.385561 0.0835123i
\(700\) 22.8546 349.253i 0.0326494 0.498933i
\(701\) 306.359i 0.437032i 0.975833 + 0.218516i \(0.0701216\pi\)
−0.975833 + 0.218516i \(0.929878\pi\)
\(702\) 225.697 + 178.473i 0.321506 + 0.254235i
\(703\) 324.445 + 86.9348i 0.461515 + 0.123663i
\(704\) 63.5558 + 110.082i 0.0902781 + 0.156366i
\(705\) 392.277 15.8489i 0.556421 0.0224807i
\(706\) 593.567i 0.840746i
\(707\) 533.333 153.652i 0.754360 0.217330i
\(708\) −62.3600 40.1553i −0.0880792 0.0567165i
\(709\) 188.596 + 108.886i 0.266003 + 0.153577i 0.627070 0.778963i \(-0.284254\pi\)
−0.361067 + 0.932540i \(0.617587\pi\)
\(710\) −21.8277 244.952i −0.0307432 0.345002i
\(711\) −342.902 245.106i −0.482281 0.344734i
\(712\) −366.813 + 98.2873i −0.515187 + 0.138044i
\(713\) −1192.68 1192.68i −1.67276 1.67276i
\(714\) −500.161 150.122i −0.700506 0.210254i
\(715\) 252.131 542.977i 0.352631 0.759408i
\(716\) −184.835 106.714i −0.258149 0.149043i
\(717\) 11.2441 231.678i 0.0156821 0.323122i
\(718\) 162.595 606.812i 0.226455 0.845142i
\(719\) 204.988 + 118.350i 0.285101 + 0.164603i 0.635731 0.771911i \(-0.280699\pi\)
−0.350629 + 0.936514i \(0.614032\pi\)
\(720\) 128.308 126.242i 0.178205 0.175336i
\(721\) 349.511 6.53775i 0.484759 0.00906762i
\(722\) 234.449 + 234.449i 0.324722 + 0.324722i
\(723\) 590.612 + 1148.15i 0.816891 + 1.58803i
\(724\) 16.9570 + 29.3704i 0.0234212 + 0.0405668i
\(725\) −537.396 193.640i −0.741236 0.267090i
\(726\) −531.097 170.298i −0.731539 0.234570i
\(727\) −173.946 173.946i −0.239266 0.239266i 0.577280 0.816546i \(-0.304114\pi\)
−0.816546 + 0.577280i \(0.804114\pi\)
\(728\) −144.809 35.9129i −0.198914 0.0493309i
\(729\) −698.357 209.137i −0.957966 0.286882i
\(730\) 409.652 + 71.5533i 0.561167 + 0.0980182i
\(731\) −177.203 306.925i −0.242412 0.419870i
\(732\) 4.88921 100.740i 0.00667925 0.137623i
\(733\) 233.681 + 872.111i 0.318801 + 1.18978i 0.920398 + 0.390983i \(0.127865\pi\)
−0.601597 + 0.798800i \(0.705469\pi\)
\(734\) 789.128i 1.07511i
\(735\) 477.765 558.539i 0.650020 0.759917i
\(736\) −229.007 −0.311150
\(737\) −1648.74 + 441.778i −2.23710 + 0.599428i
\(738\) −691.450 + 115.001i −0.936924 + 0.155827i
\(739\) −340.163 + 196.393i −0.460302 + 0.265756i −0.712171 0.702006i \(-0.752288\pi\)
0.251869 + 0.967761i \(0.418955\pi\)
\(740\) −171.654 244.309i −0.231964 0.330147i
\(741\) −248.549 + 53.8356i −0.335424 + 0.0726527i
\(742\) 145.694 587.475i 0.196353 0.791745i
\(743\) −219.726 + 219.726i −0.295729 + 0.295729i −0.839338 0.543610i \(-0.817057\pi\)
0.543610 + 0.839338i \(0.317057\pi\)
\(744\) −336.651 107.948i −0.452488 0.145091i
\(745\) −402.799 + 481.609i −0.540670 + 0.646455i
\(746\) 376.694 217.484i 0.504951 0.291534i
\(747\) −612.035 743.968i −0.819324 0.995941i
\(748\) −395.109 + 395.109i −0.528220 + 0.528220i
\(749\) 24.1708 + 1292.18i 0.0322707 + 1.72521i
\(750\) −159.491 + 505.779i −0.212655 + 0.674372i
\(751\) 189.018 327.389i 0.251688 0.435937i −0.712302 0.701873i \(-0.752347\pi\)
0.963991 + 0.265936i \(0.0856808\pi\)
\(752\) −101.125 27.0964i −0.134475 0.0360325i
\(753\) 2.60761 53.7286i 0.00346297 0.0713528i
\(754\) −121.748 + 210.874i −0.161470 + 0.279674i
\(755\) 319.850 + 874.401i 0.423642 + 1.15815i
\(756\) 374.560 50.8817i 0.495449 0.0673039i
\(757\) −396.630 + 396.630i −0.523950 + 0.523950i −0.918762 0.394812i \(-0.870810\pi\)
0.394812 + 0.918762i \(0.370810\pi\)
\(758\) −2.70608 10.0992i −0.00357003 0.0133235i
\(759\) 1429.04 1296.75i 1.88280 1.70850i
\(760\) 14.1207 + 158.464i 0.0185799 + 0.208505i
\(761\) −668.395 + 1157.69i −0.878312