Properties

Label 546.2.bu.a.197.5
Level $546$
Weight $2$
Character 546.197
Analytic conductor $4.360$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bu (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 197.5
Character \(\chi\) \(=\) 546.197
Dual form 546.2.bu.a.449.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.258819 + 0.965926i) q^{2} +(0.957713 - 1.44319i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(-0.0544192 - 0.0544192i) q^{5} +(1.14614 + 1.29860i) q^{6} +(0.965926 - 0.258819i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-1.16557 - 2.76432i) q^{9} +O(q^{10})\) \(q+(-0.258819 + 0.965926i) q^{2} +(0.957713 - 1.44319i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(-0.0544192 - 0.0544192i) q^{5} +(1.14614 + 1.29860i) q^{6} +(0.965926 - 0.258819i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-1.16557 - 2.76432i) q^{9} +(0.0666496 - 0.0384802i) q^{10} +(-1.15228 - 0.308753i) q^{11} +(-1.55100 + 0.770979i) q^{12} +(3.59913 + 0.215073i) q^{13} +1.00000i q^{14} +(-0.130655 + 0.0264190i) q^{15} +(0.500000 + 0.866025i) q^{16} +(1.80692 - 3.12967i) q^{17} +(2.97180 - 0.410397i) q^{18} +(-1.47467 - 5.50355i) q^{19} +(0.0199188 + 0.0743380i) q^{20} +(0.551556 - 1.64188i) q^{21} +(0.596464 - 1.03311i) q^{22} +(3.42603 + 5.93405i) q^{23} +(-0.343281 - 1.69769i) q^{24} -4.99408i q^{25} +(-1.13927 + 3.42083i) q^{26} +(-5.10570 - 0.965288i) q^{27} +(-0.965926 - 0.258819i) q^{28} +(-6.59867 + 3.80975i) q^{29} +(0.00829718 - 0.133041i) q^{30} +(5.06450 - 5.06450i) q^{31} +(-0.965926 + 0.258819i) q^{32} +(-1.54914 + 1.36726i) q^{33} +(2.55536 + 2.55536i) q^{34} +(-0.0666496 - 0.0384802i) q^{35} +(-0.372745 + 2.97675i) q^{36} +(1.38512 - 5.16933i) q^{37} +5.69769 q^{38} +(3.75733 - 4.98824i) q^{39} -0.0769603 q^{40} +(1.86480 - 6.95952i) q^{41} +(1.44319 + 0.957713i) q^{42} +(6.82732 + 3.94176i) q^{43} +(0.843528 + 0.843528i) q^{44} +(-0.0870024 + 0.213861i) q^{45} +(-6.61857 + 1.77344i) q^{46} +(-1.61968 + 1.61968i) q^{47} +(1.72869 + 0.107811i) q^{48} +(0.866025 - 0.500000i) q^{49} +(4.82391 + 1.29256i) q^{50} +(-2.78619 - 5.60504i) q^{51} +(-3.00940 - 1.98582i) q^{52} +5.55848i q^{53} +(2.25385 - 4.68190i) q^{54} +(0.0459041 + 0.0795082i) q^{55} +(0.500000 - 0.866025i) q^{56} +(-9.35495 - 3.14260i) q^{57} +(-1.97207 - 7.35986i) q^{58} +(0.300433 + 1.12123i) q^{59} +(0.126360 + 0.0424479i) q^{60} +(-7.17744 + 12.4317i) q^{61} +(3.58114 + 6.20273i) q^{62} +(-1.84131 - 2.36845i) q^{63} -1.00000i q^{64} +(-0.184158 - 0.207566i) q^{65} +(-0.919723 - 1.85023i) q^{66} +(-1.81688 - 0.486830i) q^{67} +(-3.12967 + 1.80692i) q^{68} +(11.8451 + 0.738728i) q^{69} +(0.0544192 - 0.0544192i) q^{70} +(-1.25015 + 0.334976i) q^{71} +(-2.77885 - 1.13048i) q^{72} +(3.51723 + 3.51723i) q^{73} +(4.63470 + 2.67584i) q^{74} +(-7.20738 - 4.78289i) q^{75} +(-1.47467 + 5.50355i) q^{76} -1.19293 q^{77} +(3.84580 + 4.92035i) q^{78} +4.90304 q^{79} +(0.0199188 - 0.0743380i) q^{80} +(-6.28289 + 6.44401i) q^{81} +(6.23974 + 3.60251i) q^{82} +(11.8882 + 11.8882i) q^{83} +(-1.29860 + 1.14614i) q^{84} +(-0.268645 + 0.0719832i) q^{85} +(-5.57448 + 5.57448i) q^{86} +(-0.821466 + 13.1718i) q^{87} +(-1.03311 + 0.596464i) q^{88} +(-10.8438 - 2.90560i) q^{89} +(-0.184056 - 0.139389i) q^{90} +(3.53216 - 0.723780i) q^{91} -6.85205i q^{92} +(-2.45868 - 12.1594i) q^{93} +(-1.14529 - 1.98369i) q^{94} +(-0.219248 + 0.379749i) q^{95} +(-0.551556 + 1.64188i) q^{96} +(3.05737 + 11.4102i) q^{97} +(0.258819 + 0.965926i) q^{98} +(0.489574 + 3.54514i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 8q^{6} + 24q^{9} + O(q^{10}) \) \( 56q - 8q^{6} + 24q^{9} + 24q^{10} - 8q^{11} + 24q^{13} - 4q^{15} + 28q^{16} + 4q^{17} + 8q^{19} + 4q^{21} + 8q^{23} + 8q^{24} + 4q^{26} - 24q^{27} - 16q^{30} - 8q^{31} - 32q^{33} - 24q^{34} - 24q^{35} - 12q^{36} - 8q^{37} - 60q^{39} + 28q^{41} - 8q^{44} - 40q^{45} - 20q^{46} - 64q^{50} + 8q^{54} + 8q^{55} + 28q^{56} + 40q^{57} + 4q^{58} + 8q^{59} + 4q^{60} + 8q^{61} + 32q^{62} + 24q^{65} + 32q^{66} - 56q^{69} + 112q^{71} + 16q^{72} + 8q^{73} - 48q^{74} - 40q^{75} + 8q^{76} - 8q^{78} + 16q^{79} + 12q^{81} + 4q^{83} - 4q^{84} + 32q^{85} + 16q^{86} + 144q^{87} - 88q^{89} + 8q^{90} - 8q^{91} - 76q^{93} - 8q^{94} + 48q^{95} - 4q^{96} - 64q^{97} - 40q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{1}{12}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.258819 + 0.965926i −0.183013 + 0.683013i
\(3\) 0.957713 1.44319i 0.552936 0.833224i
\(4\) −0.866025 0.500000i −0.433013 0.250000i
\(5\) −0.0544192 0.0544192i −0.0243370 0.0243370i 0.694834 0.719171i \(-0.255478\pi\)
−0.719171 + 0.694834i \(0.755478\pi\)
\(6\) 1.14614 + 1.29860i 0.467908 + 0.530153i
\(7\) 0.965926 0.258819i 0.365086 0.0978244i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) −1.16557 2.76432i −0.388523 0.921439i
\(10\) 0.0666496 0.0384802i 0.0210765 0.0121685i
\(11\) −1.15228 0.308753i −0.347426 0.0930924i 0.0808863 0.996723i \(-0.474225\pi\)
−0.428312 + 0.903631i \(0.640892\pi\)
\(12\) −1.55100 + 0.770979i −0.447734 + 0.222562i
\(13\) 3.59913 + 0.215073i 0.998219 + 0.0596504i
\(14\) 1.00000i 0.267261i
\(15\) −0.130655 + 0.0264190i −0.0337350 + 0.00682136i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) 1.80692 3.12967i 0.438241 0.759056i −0.559313 0.828957i \(-0.688935\pi\)
0.997554 + 0.0699005i \(0.0222682\pi\)
\(18\) 2.97180 0.410397i 0.700459 0.0967314i
\(19\) −1.47467 5.50355i −0.338313 1.26260i −0.900233 0.435409i \(-0.856604\pi\)
0.561920 0.827191i \(-0.310063\pi\)
\(20\) 0.0199188 + 0.0743380i 0.00445398 + 0.0166225i
\(21\) 0.551556 1.64188i 0.120359 0.358289i
\(22\) 0.596464 1.03311i 0.127167 0.220259i
\(23\) 3.42603 + 5.93405i 0.714376 + 1.23733i 0.963200 + 0.268786i \(0.0866225\pi\)
−0.248824 + 0.968549i \(0.580044\pi\)
\(24\) −0.343281 1.69769i −0.0700719 0.346540i
\(25\) 4.99408i 0.998815i
\(26\) −1.13927 + 3.42083i −0.223429 + 0.670880i
\(27\) −5.10570 0.965288i −0.982593 0.185770i
\(28\) −0.965926 0.258819i −0.182543 0.0489122i
\(29\) −6.59867 + 3.80975i −1.22534 + 0.707452i −0.966052 0.258347i \(-0.916822\pi\)
−0.259291 + 0.965799i \(0.583489\pi\)
\(30\) 0.00829718 0.133041i 0.00151485 0.0242898i
\(31\) 5.06450 5.06450i 0.909612 0.909612i −0.0866289 0.996241i \(-0.527609\pi\)
0.996241 + 0.0866289i \(0.0276094\pi\)
\(32\) −0.965926 + 0.258819i −0.170753 + 0.0457532i
\(33\) −1.54914 + 1.36726i −0.269671 + 0.238009i
\(34\) 2.55536 + 2.55536i 0.438241 + 0.438241i
\(35\) −0.0666496 0.0384802i −0.0112658 0.00650433i
\(36\) −0.372745 + 2.97675i −0.0621241 + 0.496126i
\(37\) 1.38512 5.16933i 0.227712 0.849833i −0.753588 0.657347i \(-0.771678\pi\)
0.981300 0.192486i \(-0.0616548\pi\)
\(38\) 5.69769 0.924287
\(39\) 3.75733 4.98824i 0.601654 0.798757i
\(40\) −0.0769603 −0.0121685
\(41\) 1.86480 6.95952i 0.291232 1.08689i −0.652931 0.757417i \(-0.726461\pi\)
0.944164 0.329477i \(-0.106872\pi\)
\(42\) 1.44319 + 0.957713i 0.222688 + 0.147778i
\(43\) 6.82732 + 3.94176i 1.04116 + 0.601112i 0.920161 0.391541i \(-0.128058\pi\)
0.120996 + 0.992653i \(0.461391\pi\)
\(44\) 0.843528 + 0.843528i 0.127167 + 0.127167i
\(45\) −0.0870024 + 0.213861i −0.0129696 + 0.0318805i
\(46\) −6.61857 + 1.77344i −0.975855 + 0.261480i
\(47\) −1.61968 + 1.61968i −0.236255 + 0.236255i −0.815297 0.579043i \(-0.803426\pi\)
0.579043 + 0.815297i \(0.303426\pi\)
\(48\) 1.72869 + 0.107811i 0.249515 + 0.0155612i
\(49\) 0.866025 0.500000i 0.123718 0.0714286i
\(50\) 4.82391 + 1.29256i 0.682204 + 0.182796i
\(51\) −2.78619 5.60504i −0.390144 0.784863i
\(52\) −3.00940 1.98582i −0.417329 0.275384i
\(53\) 5.55848i 0.763516i 0.924262 + 0.381758i \(0.124681\pi\)
−0.924262 + 0.381758i \(0.875319\pi\)
\(54\) 2.25385 4.68190i 0.306710 0.637125i
\(55\) 0.0459041 + 0.0795082i 0.00618971 + 0.0107209i
\(56\) 0.500000 0.866025i 0.0668153 0.115728i
\(57\) −9.35495 3.14260i −1.23909 0.416247i
\(58\) −1.97207 7.35986i −0.258945 0.966397i
\(59\) 0.300433 + 1.12123i 0.0391130 + 0.145972i 0.982721 0.185093i \(-0.0592587\pi\)
−0.943608 + 0.331065i \(0.892592\pi\)
\(60\) 0.126360 + 0.0424479i 0.0163130 + 0.00548000i
\(61\) −7.17744 + 12.4317i −0.918977 + 1.59171i −0.118005 + 0.993013i \(0.537650\pi\)
−0.800972 + 0.598702i \(0.795683\pi\)
\(62\) 3.58114 + 6.20273i 0.454806 + 0.787747i
\(63\) −1.84131 2.36845i −0.231984 0.298397i
\(64\) 1.00000i 0.125000i
\(65\) −0.184158 0.207566i −0.0228419 0.0257454i
\(66\) −0.919723 1.85023i −0.113210 0.227747i
\(67\) −1.81688 0.486830i −0.221967 0.0594758i 0.146122 0.989267i \(-0.453321\pi\)
−0.368088 + 0.929791i \(0.619988\pi\)
\(68\) −3.12967 + 1.80692i −0.379528 + 0.219121i
\(69\) 11.8451 + 0.738728i 1.42598 + 0.0889324i
\(70\) 0.0544192 0.0544192i 0.00650433 0.00650433i
\(71\) −1.25015 + 0.334976i −0.148365 + 0.0397543i −0.332237 0.943196i \(-0.607803\pi\)
0.183872 + 0.982950i \(0.441137\pi\)
\(72\) −2.77885 1.13048i −0.327491 0.133229i
\(73\) 3.51723 + 3.51723i 0.411661 + 0.411661i 0.882317 0.470656i \(-0.155983\pi\)
−0.470656 + 0.882317i \(0.655983\pi\)
\(74\) 4.63470 + 2.67584i 0.538772 + 0.311060i
\(75\) −7.20738 4.78289i −0.832237 0.552281i
\(76\) −1.47467 + 5.50355i −0.169156 + 0.631300i
\(77\) −1.19293 −0.135947
\(78\) 3.84580 + 4.92035i 0.435451 + 0.557120i
\(79\) 4.90304 0.551635 0.275817 0.961210i \(-0.411051\pi\)
0.275817 + 0.961210i \(0.411051\pi\)
\(80\) 0.0199188 0.0743380i 0.00222699 0.00831124i
\(81\) −6.28289 + 6.44401i −0.698099 + 0.716001i
\(82\) 6.23974 + 3.60251i 0.689063 + 0.397831i
\(83\) 11.8882 + 11.8882i 1.30490 + 1.30490i 0.925049 + 0.379848i \(0.124024\pi\)
0.379848 + 0.925049i \(0.375976\pi\)
\(84\) −1.29860 + 1.14614i −0.141689 + 0.125054i
\(85\) −0.268645 + 0.0719832i −0.0291386 + 0.00780767i
\(86\) −5.57448 + 5.57448i −0.601112 + 0.601112i
\(87\) −0.821466 + 13.1718i −0.0880704 + 1.41216i
\(88\) −1.03311 + 0.596464i −0.110130 + 0.0635833i
\(89\) −10.8438 2.90560i −1.14944 0.307992i −0.366701 0.930339i \(-0.619513\pi\)
−0.782742 + 0.622346i \(0.786180\pi\)
\(90\) −0.184056 0.139389i −0.0194012 0.0146929i
\(91\) 3.53216 0.723780i 0.370271 0.0758727i
\(92\) 6.85205i 0.714376i
\(93\) −2.45868 12.1594i −0.254953 1.26087i
\(94\) −1.14529 1.98369i −0.118127 0.204603i
\(95\) −0.219248 + 0.379749i −0.0224944 + 0.0389614i
\(96\) −0.551556 + 1.64188i −0.0562930 + 0.167574i
\(97\) 3.05737 + 11.4102i 0.310428 + 1.15853i 0.928171 + 0.372154i \(0.121381\pi\)
−0.617742 + 0.786381i \(0.711953\pi\)
\(98\) 0.258819 + 0.965926i 0.0261447 + 0.0975732i
\(99\) 0.489574 + 3.54514i 0.0492041 + 0.356300i
\(100\) −2.49704 + 4.32500i −0.249704 + 0.432500i
\(101\) 3.94287 + 6.82924i 0.392330 + 0.679535i 0.992756 0.120145i \(-0.0383359\pi\)
−0.600427 + 0.799680i \(0.705003\pi\)
\(102\) 6.13517 1.24056i 0.607473 0.122834i
\(103\) 15.3436i 1.51185i 0.654660 + 0.755924i \(0.272812\pi\)
−0.654660 + 0.755924i \(0.727188\pi\)
\(104\) 2.69705 2.39289i 0.264467 0.234642i
\(105\) −0.119365 + 0.0593348i −0.0116489 + 0.00579048i
\(106\) −5.36908 1.43864i −0.521491 0.139733i
\(107\) 3.11250 1.79700i 0.300896 0.173723i −0.341949 0.939718i \(-0.611087\pi\)
0.642845 + 0.765996i \(0.277754\pi\)
\(108\) 3.93903 + 3.38882i 0.379033 + 0.326089i
\(109\) 7.20402 7.20402i 0.690020 0.690020i −0.272216 0.962236i \(-0.587756\pi\)
0.962236 + 0.272216i \(0.0877565\pi\)
\(110\) −0.0886799 + 0.0237617i −0.00845530 + 0.00226559i
\(111\) −6.13376 6.94972i −0.582191 0.659638i
\(112\) 0.707107 + 0.707107i 0.0668153 + 0.0668153i
\(113\) −16.1888 9.34662i −1.52292 0.879256i −0.999633 0.0270972i \(-0.991374\pi\)
−0.523283 0.852159i \(-0.675293\pi\)
\(114\) 5.45675 8.22283i 0.511072 0.770138i
\(115\) 0.136485 0.509367i 0.0127273 0.0474988i
\(116\) 7.61949 0.707452
\(117\) −3.60051 10.1998i −0.332867 0.942974i
\(118\) −1.16078 −0.106859
\(119\) 0.935328 3.49069i 0.0857414 0.319991i
\(120\) −0.0737059 + 0.111068i −0.00672840 + 0.0101391i
\(121\) −8.29386 4.78846i −0.753987 0.435315i
\(122\) −10.1504 10.1504i −0.918977 0.918977i
\(123\) −8.25794 9.35647i −0.744593 0.843645i
\(124\) −6.91824 + 1.85374i −0.621276 + 0.166471i
\(125\) −0.543869 + 0.543869i −0.0486451 + 0.0486451i
\(126\) 2.76432 1.16557i 0.246265 0.103837i
\(127\) −12.5260 + 7.23187i −1.11150 + 0.641725i −0.939217 0.343323i \(-0.888447\pi\)
−0.172282 + 0.985048i \(0.555114\pi\)
\(128\) 0.965926 + 0.258819i 0.0853766 + 0.0228766i
\(129\) 12.2273 6.07802i 1.07655 0.535140i
\(130\) 0.248157 0.124161i 0.0217648 0.0108896i
\(131\) 17.8207i 1.55700i 0.627645 + 0.778499i \(0.284019\pi\)
−0.627645 + 0.778499i \(0.715981\pi\)
\(132\) 2.02523 0.409510i 0.176273 0.0356432i
\(133\) −2.84884 4.93434i −0.247026 0.427862i
\(134\) 0.940484 1.62897i 0.0812454 0.140721i
\(135\) 0.225318 + 0.330378i 0.0193923 + 0.0284344i
\(136\) −0.935328 3.49069i −0.0802037 0.299324i
\(137\) −1.75686 6.55671i −0.150099 0.560177i −0.999475 0.0323895i \(-0.989688\pi\)
0.849376 0.527788i \(-0.176978\pi\)
\(138\) −3.77929 + 11.2503i −0.321715 + 0.957687i
\(139\) −3.36446 + 5.82741i −0.285369 + 0.494274i −0.972699 0.232072i \(-0.925450\pi\)
0.687329 + 0.726346i \(0.258783\pi\)
\(140\) 0.0384802 + 0.0666496i 0.00325217 + 0.00563292i
\(141\) 0.786310 + 3.88869i 0.0662193 + 0.327487i
\(142\) 1.29425i 0.108611i
\(143\) −4.08081 1.35907i −0.341254 0.113651i
\(144\) 1.81118 2.39157i 0.150932 0.199298i
\(145\) 0.566417 + 0.151771i 0.0470384 + 0.0126039i
\(146\) −4.30771 + 2.48706i −0.356509 + 0.205830i
\(147\) 0.107811 1.72869i 0.00889212 0.142580i
\(148\) −3.78421 + 3.78421i −0.311060 + 0.311060i
\(149\) −9.21801 + 2.46996i −0.755169 + 0.202347i −0.615810 0.787895i \(-0.711171\pi\)
−0.139359 + 0.990242i \(0.544504\pi\)
\(150\) 6.48533 5.72389i 0.529525 0.467354i
\(151\) −2.69349 2.69349i −0.219193 0.219193i 0.588965 0.808158i \(-0.299536\pi\)
−0.808158 + 0.588965i \(0.799536\pi\)
\(152\) −4.93434 2.84884i −0.400228 0.231072i
\(153\) −10.7575 1.34704i −0.869691 0.108901i
\(154\) 0.308753 1.15228i 0.0248800 0.0928534i
\(155\) −0.551212 −0.0442744
\(156\) −5.74806 + 2.44128i −0.460213 + 0.195459i
\(157\) 2.89190 0.230799 0.115399 0.993319i \(-0.463185\pi\)
0.115399 + 0.993319i \(0.463185\pi\)
\(158\) −1.26900 + 4.73597i −0.100956 + 0.376774i
\(159\) 8.02192 + 5.32343i 0.636180 + 0.422176i
\(160\) 0.0666496 + 0.0384802i 0.00526911 + 0.00304212i
\(161\) 4.84513 + 4.84513i 0.381850 + 0.381850i
\(162\) −4.59830 7.73664i −0.361277 0.607848i
\(163\) −9.13946 + 2.44891i −0.715858 + 0.191813i −0.598323 0.801255i \(-0.704166\pi\)
−0.117535 + 0.993069i \(0.537499\pi\)
\(164\) −5.09472 + 5.09472i −0.397831 + 0.397831i
\(165\) 0.158708 + 0.00989795i 0.0123554 + 0.000770554i
\(166\) −14.5600 + 8.40621i −1.13007 + 0.652448i
\(167\) −4.18409 1.12112i −0.323775 0.0867552i 0.0932707 0.995641i \(-0.470268\pi\)
−0.417046 + 0.908886i \(0.636934\pi\)
\(168\) −0.770979 1.55100i −0.0594823 0.119662i
\(169\) 12.9075 + 1.54815i 0.992884 + 0.119088i
\(170\) 0.278122i 0.0213309i
\(171\) −13.4947 + 10.4912i −1.03197 + 0.802284i
\(172\) −3.94176 6.82732i −0.300556 0.520578i
\(173\) 7.95220 13.7736i 0.604595 1.04719i −0.387520 0.921861i \(-0.626668\pi\)
0.992115 0.125328i \(-0.0399983\pi\)
\(174\) −12.5103 4.20258i −0.948406 0.318597i
\(175\) −1.29256 4.82391i −0.0977085 0.364653i
\(176\) −0.308753 1.15228i −0.0232731 0.0868564i
\(177\) 1.90587 + 0.640237i 0.143254 + 0.0481232i
\(178\) 5.61318 9.72231i 0.420726 0.728718i
\(179\) 2.59864 + 4.50097i 0.194231 + 0.336418i 0.946648 0.322269i \(-0.104445\pi\)
−0.752417 + 0.658687i \(0.771112\pi\)
\(180\) 0.182277 0.141708i 0.0135861 0.0105623i
\(181\) 24.2007i 1.79882i −0.437106 0.899410i \(-0.643996\pi\)
0.437106 0.899410i \(-0.356004\pi\)
\(182\) −0.215073 + 3.59913i −0.0159422 + 0.266785i
\(183\) 11.0673 + 22.2644i 0.818119 + 1.64583i
\(184\) 6.61857 + 1.77344i 0.487928 + 0.130740i
\(185\) −0.356688 + 0.205934i −0.0262242 + 0.0151405i
\(186\) 12.3814 + 0.772175i 0.907848 + 0.0566186i
\(187\) −3.04837 + 3.04837i −0.222919 + 0.222919i
\(188\) 2.21252 0.592844i 0.161365 0.0432376i
\(189\) −5.18157 + 0.389057i −0.376904 + 0.0282997i
\(190\) −0.310064 0.310064i −0.0224944 0.0224944i
\(191\) 12.4393 + 7.18181i 0.900073 + 0.519657i 0.877224 0.480081i \(-0.159393\pi\)
0.0228493 + 0.999739i \(0.492726\pi\)
\(192\) −1.44319 0.957713i −0.104153 0.0691170i
\(193\) −3.51371 + 13.1133i −0.252922 + 0.943919i 0.716312 + 0.697780i \(0.245829\pi\)
−0.969234 + 0.246139i \(0.920838\pi\)
\(194\) −11.8128 −0.848106
\(195\) −0.475926 + 0.0669852i −0.0340818 + 0.00479691i
\(196\) −1.00000 −0.0714286
\(197\) 1.35826 5.06911i 0.0967724 0.361159i −0.900510 0.434836i \(-0.856806\pi\)
0.997282 + 0.0736762i \(0.0234731\pi\)
\(198\) −3.55105 0.444658i −0.252362 0.0316005i
\(199\) 16.4089 + 9.47367i 1.16319 + 0.671570i 0.952067 0.305888i \(-0.0989535\pi\)
0.211127 + 0.977459i \(0.432287\pi\)
\(200\) −3.53135 3.53135i −0.249704 0.249704i
\(201\) −2.44263 + 2.15584i −0.172290 + 0.152062i
\(202\) −7.61703 + 2.04098i −0.535933 + 0.143603i
\(203\) −5.38779 + 5.38779i −0.378149 + 0.378149i
\(204\) −0.389611 + 6.24720i −0.0272783 + 0.437392i
\(205\) −0.480212 + 0.277251i −0.0335395 + 0.0193640i
\(206\) −14.8208 3.97121i −1.03261 0.276687i
\(207\) 12.4103 16.3872i 0.862577 1.13899i
\(208\) 1.61331 + 3.22448i 0.111863 + 0.223577i
\(209\) 6.79694i 0.470154i
\(210\) −0.0264190 0.130655i −0.00182308 0.00901605i
\(211\) 1.23680 + 2.14221i 0.0851451 + 0.147476i 0.905453 0.424446i \(-0.139531\pi\)
−0.820308 + 0.571922i \(0.806198\pi\)
\(212\) 2.77924 4.81379i 0.190879 0.330612i
\(213\) −0.713849 + 2.12500i −0.0489122 + 0.145603i
\(214\) 0.930196 + 3.47154i 0.0635869 + 0.237309i
\(215\) −0.157030 0.586044i −0.0107094 0.0399679i
\(216\) −4.29284 + 2.92772i −0.292091 + 0.199206i
\(217\) 3.58114 6.20273i 0.243104 0.421068i
\(218\) 5.09401 + 8.82309i 0.345010 + 0.597575i
\(219\) 8.44452 1.70752i 0.570628 0.115383i
\(220\) 0.0918082i 0.00618971i
\(221\) 7.17643 10.8755i 0.482739 0.731563i
\(222\) 8.30045 4.12604i 0.557090 0.276921i
\(223\) −8.84339 2.36958i −0.592197 0.158679i −0.0497400 0.998762i \(-0.515839\pi\)
−0.542457 + 0.840083i \(0.682506\pi\)
\(224\) −0.866025 + 0.500000i −0.0578638 + 0.0334077i
\(225\) −13.8052 + 5.82095i −0.920347 + 0.388063i
\(226\) 13.2181 13.2181i 0.879256 0.879256i
\(227\) 13.4021 3.59107i 0.889526 0.238348i 0.215013 0.976611i \(-0.431021\pi\)
0.674513 + 0.738263i \(0.264354\pi\)
\(228\) 6.53033 + 7.39904i 0.432481 + 0.490014i
\(229\) 11.9985 + 11.9985i 0.792884 + 0.792884i 0.981962 0.189078i \(-0.0605498\pi\)
−0.189078 + 0.981962i \(0.560550\pi\)
\(230\) 0.456686 + 0.263668i 0.0301130 + 0.0173858i
\(231\) −1.14248 + 1.72162i −0.0751699 + 0.113274i
\(232\) −1.97207 + 7.35986i −0.129473 + 0.483199i
\(233\) 24.3406 1.59461 0.797304 0.603578i \(-0.206259\pi\)
0.797304 + 0.603578i \(0.206259\pi\)
\(234\) 10.7841 0.837920i 0.704982 0.0547765i
\(235\) 0.176283 0.0114995
\(236\) 0.300433 1.12123i 0.0195565 0.0729859i
\(237\) 4.69570 7.07599i 0.305019 0.459635i
\(238\) 3.12967 + 1.80692i 0.202866 + 0.117125i
\(239\) −17.9356 17.9356i −1.16016 1.16016i −0.984440 0.175719i \(-0.943775\pi\)
−0.175719 0.984440i \(-0.556225\pi\)
\(240\) −0.0882070 0.0999410i −0.00569374 0.00645116i
\(241\) −16.2584 + 4.35642i −1.04730 + 0.280622i −0.741134 0.671357i \(-0.765712\pi\)
−0.306162 + 0.951979i \(0.599045\pi\)
\(242\) 6.77191 6.77191i 0.435315 0.435315i
\(243\) 3.28270 + 15.2389i 0.210585 + 0.977576i
\(244\) 12.4317 7.17744i 0.795857 0.459488i
\(245\) −0.0743380 0.0199188i −0.00474928 0.00127257i
\(246\) 11.1750 5.55492i 0.712490 0.354169i
\(247\) −4.12387 20.1251i −0.262396 1.28053i
\(248\) 7.16229i 0.454806i
\(249\) 28.5423 5.77138i 1.80880 0.365747i
\(250\) −0.384574 0.666101i −0.0243226 0.0421279i
\(251\) −4.99686 + 8.65481i −0.315399 + 0.546287i −0.979522 0.201336i \(-0.935472\pi\)
0.664123 + 0.747623i \(0.268805\pi\)
\(252\) 0.410397 + 2.97180i 0.0258526 + 0.187206i
\(253\) −2.11559 7.89549i −0.133006 0.496385i
\(254\) −3.74349 13.9709i −0.234888 0.876612i
\(255\) −0.153400 + 0.456644i −0.00960626 + 0.0285961i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −1.05315 1.82411i −0.0656936 0.113785i 0.831308 0.555812i \(-0.187593\pi\)
−0.897001 + 0.442028i \(0.854259\pi\)
\(258\) 2.70626 + 13.3838i 0.168484 + 0.833237i
\(259\) 5.35169i 0.332538i
\(260\) 0.0557023 + 0.271836i 0.00345451 + 0.0168586i
\(261\) 18.2226 + 13.8003i 1.12795 + 0.854217i
\(262\) −17.2134 4.61233i −1.06345 0.284951i
\(263\) 14.3729 8.29820i 0.886271 0.511689i 0.0135502 0.999908i \(-0.495687\pi\)
0.872721 + 0.488219i \(0.162353\pi\)
\(264\) −0.128611 + 2.06221i −0.00791546 + 0.126920i
\(265\) 0.302488 0.302488i 0.0185817 0.0185817i
\(266\) 5.50355 1.47467i 0.337444 0.0904179i
\(267\) −14.5786 + 12.8669i −0.892195 + 0.787443i
\(268\) 1.33005 + 1.33005i 0.0812454 + 0.0812454i
\(269\) 12.3602 + 7.13619i 0.753617 + 0.435101i 0.826999 0.562203i \(-0.190046\pi\)
−0.0733821 + 0.997304i \(0.523379\pi\)
\(270\) −0.377438 + 0.132132i −0.0229701 + 0.00804131i
\(271\) −3.98239 + 14.8625i −0.241913 + 0.902832i 0.732997 + 0.680232i \(0.238121\pi\)
−0.974910 + 0.222600i \(0.928546\pi\)
\(272\) 3.61383 0.219121
\(273\) 2.33825 5.79073i 0.141517 0.350471i
\(274\) 6.78800 0.410078
\(275\) −1.54193 + 5.75458i −0.0929822 + 0.347014i
\(276\) −9.88878 6.56230i −0.595235 0.395004i
\(277\) −2.76648 1.59723i −0.166222 0.0959681i 0.414581 0.910012i \(-0.363928\pi\)
−0.580803 + 0.814044i \(0.697261\pi\)
\(278\) −4.75806 4.75806i −0.285369 0.285369i
\(279\) −19.9029 8.09686i −1.19156 0.484746i
\(280\) −0.0743380 + 0.0199188i −0.00444254 + 0.00119038i
\(281\) 16.4607 16.4607i 0.981961 0.981961i −0.0178794 0.999840i \(-0.505692\pi\)
0.999840 + 0.0178794i \(0.00569150\pi\)
\(282\) −3.95970 0.246949i −0.235797 0.0147056i
\(283\) 4.38533 2.53187i 0.260681 0.150504i −0.363964 0.931413i \(-0.618577\pi\)
0.624645 + 0.780909i \(0.285244\pi\)
\(284\) 1.25015 + 0.334976i 0.0741825 + 0.0198771i
\(285\) 0.338071 + 0.680106i 0.0200256 + 0.0402860i
\(286\) 2.36895 3.59000i 0.140079 0.212281i
\(287\) 7.20503i 0.425299i
\(288\) 1.84131 + 2.36845i 0.108500 + 0.139562i
\(289\) 1.97011 + 3.41234i 0.115889 + 0.200726i
\(290\) −0.293199 + 0.507836i −0.0172173 + 0.0298212i
\(291\) 19.3952 + 6.51540i 1.13697 + 0.381939i
\(292\) −1.28740 4.80463i −0.0753392 0.281170i
\(293\) −2.58761 9.65710i −0.151170 0.564174i −0.999403 0.0345507i \(-0.989000\pi\)
0.848233 0.529623i \(-0.177667\pi\)
\(294\) 1.64188 + 0.551556i 0.0957567 + 0.0321674i
\(295\) 0.0446671 0.0773657i 0.00260062 0.00450441i
\(296\) −2.67584 4.63470i −0.155530 0.269386i
\(297\) 5.58517 + 2.68868i 0.324084 + 0.156013i
\(298\) 9.54319i 0.552822i
\(299\) 11.0545 + 22.0943i 0.639296 + 1.27774i
\(300\) 3.85033 + 7.74580i 0.222299 + 0.447204i
\(301\) 7.61489 + 2.04040i 0.438915 + 0.117607i
\(302\) 3.29884 1.90459i 0.189827 0.109597i
\(303\) 13.6320 + 0.850170i 0.783138 + 0.0488410i
\(304\) 4.02888 4.02888i 0.231072 0.231072i
\(305\) 1.06711 0.285932i 0.0611027 0.0163724i
\(306\) 4.08538 10.0423i 0.233546 0.574080i
\(307\) 10.5104 + 10.5104i 0.599859 + 0.599859i 0.940275 0.340416i \(-0.110568\pi\)
−0.340416 + 0.940275i \(0.610568\pi\)
\(308\) 1.03311 + 0.596464i 0.0588667 + 0.0339867i
\(309\) 22.1436 + 14.6947i 1.25971 + 0.835955i
\(310\) 0.142664 0.532430i 0.00810278 0.0302400i
\(311\) 2.31547 0.131298 0.0656492 0.997843i \(-0.479088\pi\)
0.0656492 + 0.997843i \(0.479088\pi\)
\(312\) −0.870386 6.18405i −0.0492759 0.350103i
\(313\) 12.5997 0.712175 0.356087 0.934453i \(-0.384111\pi\)
0.356087 + 0.934453i \(0.384111\pi\)
\(314\) −0.748479 + 2.79336i −0.0422391 + 0.157639i
\(315\) −0.0286865 + 0.229092i −0.00161630 + 0.0129079i
\(316\) −4.24615 2.45152i −0.238865 0.137909i
\(317\) 20.7681 + 20.7681i 1.16645 + 1.16645i 0.983035 + 0.183416i \(0.0587154\pi\)
0.183416 + 0.983035i \(0.441285\pi\)
\(318\) −7.21826 + 6.37077i −0.404780 + 0.357255i
\(319\) 8.77979 2.35254i 0.491574 0.131717i
\(320\) −0.0544192 + 0.0544192i −0.00304212 + 0.00304212i
\(321\) 0.387473 6.21292i 0.0216267 0.346771i
\(322\) −5.93405 + 3.42603i −0.330692 + 0.190925i
\(323\) −19.8889 5.32921i −1.10665 0.296525i
\(324\) 8.66315 2.43923i 0.481286 0.135513i
\(325\) 1.07409 17.9743i 0.0595797 0.997037i
\(326\) 9.46186i 0.524044i
\(327\) −3.49736 17.2961i −0.193404 0.956478i
\(328\) −3.60251 6.23974i −0.198915 0.344532i
\(329\) −1.14529 + 1.98369i −0.0631417 + 0.109365i
\(330\) −0.0506374 + 0.150738i −0.00278749 + 0.00829788i
\(331\) 6.56689 + 24.5080i 0.360949 + 1.34708i 0.872830 + 0.488024i \(0.162282\pi\)
−0.511882 + 0.859056i \(0.671051\pi\)
\(332\) −4.35137 16.2396i −0.238813 0.891261i
\(333\) −15.9041 + 2.19631i −0.871540 + 0.120357i
\(334\) 2.16585 3.75136i 0.118510 0.205265i
\(335\) 0.0723799 + 0.125366i 0.00395454 + 0.00684946i
\(336\) 1.69769 0.343281i 0.0926167 0.0187275i
\(337\) 19.7686i 1.07687i −0.842668 0.538433i \(-0.819017\pi\)
0.842668 0.538433i \(-0.180983\pi\)
\(338\) −4.83610 + 12.0670i −0.263049 + 0.656357i
\(339\) −28.9932 + 14.4121i −1.57469 + 0.782757i
\(340\) 0.268645 + 0.0719832i 0.0145693 + 0.00390383i
\(341\) −7.39941 + 4.27205i −0.400700 + 0.231345i
\(342\) −6.64106 15.7502i −0.359107 0.851674i
\(343\) 0.707107 0.707107i 0.0381802 0.0381802i
\(344\) 7.61489 2.04040i 0.410567 0.110011i
\(345\) −0.604399 0.684801i −0.0325397 0.0368684i
\(346\) 11.2461 + 11.2461i 0.604595 + 0.604595i
\(347\) −26.2288 15.1432i −1.40804 0.812929i −0.412836 0.910805i \(-0.635462\pi\)
−0.995199 + 0.0978758i \(0.968795\pi\)
\(348\) 7.29729 10.9963i 0.391176 0.589466i
\(349\) 3.45283 12.8862i 0.184826 0.689780i −0.809842 0.586648i \(-0.800447\pi\)
0.994668 0.103131i \(-0.0328862\pi\)
\(350\) 4.99408 0.266945
\(351\) −18.1685 4.57230i −0.969762 0.244051i
\(352\) 1.19293 0.0635833
\(353\) 0.758477 2.83067i 0.0403697 0.150662i −0.942799 0.333362i \(-0.891817\pi\)
0.983169 + 0.182700i \(0.0584837\pi\)
\(354\) −1.11170 + 1.67523i −0.0590861 + 0.0890373i
\(355\) 0.0862610 + 0.0498028i 0.00457826 + 0.00264326i
\(356\) 7.93823 + 7.93823i 0.420726 + 0.420726i
\(357\) −4.14194 4.69293i −0.219215 0.248376i
\(358\) −5.02018 + 1.34515i −0.265325 + 0.0710935i
\(359\) 9.12468 9.12468i 0.481582 0.481582i −0.424054 0.905637i \(-0.639393\pi\)
0.905637 + 0.424054i \(0.139393\pi\)
\(360\) 0.0897027 + 0.212743i 0.00472775 + 0.0112125i
\(361\) −11.6599 + 6.73184i −0.613678 + 0.354307i
\(362\) 23.3760 + 6.26359i 1.22862 + 0.329207i
\(363\) −14.8538 + 7.38360i −0.779621 + 0.387539i
\(364\) −3.42083 1.13927i −0.179300 0.0597139i
\(365\) 0.382810i 0.0200372i
\(366\) −24.3702 + 4.92776i −1.27385 + 0.257578i
\(367\) 1.36164 + 2.35842i 0.0710768 + 0.123109i 0.899373 0.437181i \(-0.144023\pi\)
−0.828297 + 0.560290i \(0.810690\pi\)
\(368\) −3.42603 + 5.93405i −0.178594 + 0.309334i
\(369\) −21.4119 + 2.95692i −1.11466 + 0.153931i
\(370\) −0.106599 0.397833i −0.00554182 0.0206824i
\(371\) 1.43864 + 5.36908i 0.0746905 + 0.278749i
\(372\) −3.95040 + 11.7597i −0.204819 + 0.609710i
\(373\) −2.17703 + 3.77072i −0.112722 + 0.195240i −0.916867 0.399193i \(-0.869290\pi\)
0.804145 + 0.594434i \(0.202624\pi\)
\(374\) −2.15552 3.73347i −0.111459 0.193053i
\(375\) 0.264034 + 1.30578i 0.0136346 + 0.0674299i
\(376\) 2.29057i 0.118127i
\(377\) −24.5689 + 12.2926i −1.26536 + 0.633100i
\(378\) 0.965288 5.10570i 0.0496491 0.262609i
\(379\) 2.94358 + 0.788731i 0.151202 + 0.0405144i 0.333626 0.942706i \(-0.391728\pi\)
−0.182424 + 0.983220i \(0.558394\pi\)
\(380\) 0.379749 0.219248i 0.0194807 0.0112472i
\(381\) −1.55935 + 25.0034i −0.0798881 + 1.28096i
\(382\) −10.1566 + 10.1566i −0.519657 + 0.519657i
\(383\) 16.6160 4.45226i 0.849040 0.227500i 0.192037 0.981388i \(-0.438491\pi\)
0.657003 + 0.753888i \(0.271824\pi\)
\(384\) 1.29860 1.14614i 0.0662691 0.0584885i
\(385\) 0.0649182 + 0.0649182i 0.00330854 + 0.00330854i
\(386\) −11.7571 6.78797i −0.598421 0.345498i
\(387\) 2.93854 23.4673i 0.149374 1.19291i
\(388\) 3.05737 11.4102i 0.155214 0.579267i
\(389\) −22.5423 −1.14294 −0.571469 0.820623i \(-0.693626\pi\)
−0.571469 + 0.820623i \(0.693626\pi\)
\(390\) 0.0584760 0.477046i 0.00296105 0.0241562i
\(391\) 24.7622 1.25228
\(392\) 0.258819 0.965926i 0.0130723 0.0487866i
\(393\) 25.7185 + 17.0671i 1.29733 + 0.860921i
\(394\) 4.54484 + 2.62397i 0.228966 + 0.132194i
\(395\) −0.266819 0.266819i −0.0134251 0.0134251i
\(396\) 1.34859 3.31497i 0.0677691 0.166583i
\(397\) −6.82180 + 1.82790i −0.342376 + 0.0917395i −0.425910 0.904765i \(-0.640046\pi\)
0.0835337 + 0.996505i \(0.473379\pi\)
\(398\) −13.3978 + 13.3978i −0.671570 + 0.671570i
\(399\) −9.84955 0.614275i −0.493094 0.0307522i
\(400\) 4.32500 2.49704i 0.216250 0.124852i
\(401\) −22.3426 5.98669i −1.11574 0.298961i −0.346580 0.938020i \(-0.612657\pi\)
−0.769157 + 0.639060i \(0.779324\pi\)
\(402\) −1.45019 2.91738i −0.0723287 0.145505i
\(403\) 19.3170 17.1386i 0.962251 0.853733i
\(404\) 7.88573i 0.392330i
\(405\) 0.692587 0.00876798i 0.0344149 0.000435685i
\(406\) −3.80975 6.59867i −0.189075 0.327487i
\(407\) −3.19209 + 5.52886i −0.158226 + 0.274055i
\(408\) −5.93349 1.99323i −0.293752 0.0986796i
\(409\) −9.26080 34.5618i −0.457917 1.70897i −0.679368 0.733798i \(-0.737746\pi\)
0.221451 0.975172i \(-0.428921\pi\)
\(410\) −0.143515 0.535607i −0.00708772 0.0264517i
\(411\) −11.1451 3.74396i −0.549748 0.184676i
\(412\) 7.67179 13.2879i 0.377962 0.654649i
\(413\) 0.580392 + 1.00527i 0.0285592 + 0.0494660i
\(414\) 12.6168 + 16.2288i 0.620080 + 0.797600i
\(415\) 1.29389i 0.0635145i
\(416\) −3.53216 + 0.723780i −0.173178 + 0.0354862i
\(417\) 5.18785 + 10.4365i 0.254050 + 0.511079i
\(418\) −6.56534 1.75918i −0.321121 0.0860442i
\(419\) −24.1895 + 13.9658i −1.18174 + 0.682276i −0.956416 0.292009i \(-0.905676\pi\)
−0.225320 + 0.974285i \(0.572343\pi\)
\(420\) 0.133041 + 0.00829718i 0.00649172 + 0.000404861i
\(421\) −5.84627 + 5.84627i −0.284930 + 0.284930i −0.835071 0.550141i \(-0.814574\pi\)
0.550141 + 0.835071i \(0.314574\pi\)
\(422\) −2.38932 + 0.640217i −0.116310 + 0.0311653i
\(423\) 6.36516 + 2.58946i 0.309485 + 0.125904i
\(424\) 3.93044 + 3.93044i 0.190879 + 0.190879i
\(425\) −15.6298 9.02387i −0.758157 0.437722i
\(426\) −1.86784 1.23952i −0.0904970 0.0600548i
\(427\) −3.71532 + 13.8657i −0.179797 + 0.671011i
\(428\) −3.59400 −0.173723
\(429\) −5.86963 + 4.58776i −0.283388 + 0.221499i
\(430\) 0.606717 0.0292585
\(431\) 2.71318 10.1257i 0.130689 0.487738i −0.869289 0.494304i \(-0.835423\pi\)
0.999978 + 0.00656528i \(0.00208981\pi\)
\(432\) −1.71689 4.90431i −0.0826038 0.235959i
\(433\) −24.1039 13.9164i −1.15836 0.668779i −0.207449 0.978246i \(-0.566516\pi\)
−0.950910 + 0.309467i \(0.899849\pi\)
\(434\) 5.06450 + 5.06450i 0.243104 + 0.243104i
\(435\) 0.761499 0.672092i 0.0365111 0.0322244i
\(436\) −9.84088 + 2.63686i −0.471293 + 0.126282i
\(437\) 27.6061 27.6061i 1.32058 1.32058i
\(438\) −0.536266 + 8.59872i −0.0256238 + 0.410863i
\(439\) 7.54288 4.35489i 0.360002 0.207847i −0.309080 0.951036i \(-0.600021\pi\)
0.669082 + 0.743189i \(0.266688\pi\)
\(440\) 0.0886799 + 0.0237617i 0.00422765 + 0.00113279i
\(441\) −2.39157 1.81118i −0.113884 0.0862468i
\(442\) 8.64750 + 9.74668i 0.411320 + 0.463602i
\(443\) 1.04602i 0.0496980i 0.999691 + 0.0248490i \(0.00791049\pi\)
−0.999691 + 0.0248490i \(0.992090\pi\)
\(444\) 1.83713 + 9.08551i 0.0871864 + 0.431179i
\(445\) 0.431992 + 0.748232i 0.0204784 + 0.0354696i
\(446\) 4.57768 7.92877i 0.216759 0.375438i
\(447\) −5.26360 + 15.6688i −0.248960 + 0.741110i
\(448\) −0.258819 0.965926i −0.0122281 0.0456357i
\(449\) −10.3708 38.7045i −0.489430 1.82658i −0.559222 0.829018i \(-0.688900\pi\)
0.0697918 0.997562i \(-0.477767\pi\)
\(450\) −2.04955 14.8414i −0.0966169 0.699629i
\(451\) −4.29754 + 7.44356i −0.202363 + 0.350504i
\(452\) 9.34662 + 16.1888i 0.439628 + 0.761458i
\(453\) −6.46680 + 1.30762i −0.303837 + 0.0614372i
\(454\) 13.8748i 0.651178i
\(455\) −0.231605 0.152830i −0.0108578 0.00716476i
\(456\) −8.83710 + 4.39280i −0.413835 + 0.205712i
\(457\) −24.6825 6.61367i −1.15460 0.309374i −0.369793 0.929114i \(-0.620571\pi\)
−0.784807 + 0.619740i \(0.787238\pi\)
\(458\) −14.6951 + 8.48423i −0.686658 + 0.396442i
\(459\) −12.2466 + 14.2350i −0.571623 + 0.664432i
\(460\) −0.372883 + 0.372883i −0.0173858 + 0.0173858i
\(461\) 21.4908 5.75844i 1.00093 0.268197i 0.279093 0.960264i \(-0.409966\pi\)
0.721833 + 0.692067i \(0.243300\pi\)
\(462\) −1.36726 1.54914i −0.0636106 0.0720726i
\(463\) 15.3356 + 15.3356i 0.712706 + 0.712706i 0.967101 0.254394i \(-0.0818762\pi\)
−0.254394 + 0.967101i \(0.581876\pi\)
\(464\) −6.59867 3.80975i −0.306336 0.176863i
\(465\) −0.527903 + 0.795501i −0.0244809 + 0.0368905i
\(466\) −6.29982 + 23.5113i −0.291834 + 1.08914i
\(467\) 12.2391 0.566360 0.283180 0.959067i \(-0.408611\pi\)
0.283180 + 0.959067i \(0.408611\pi\)
\(468\) −1.98177 + 10.6336i −0.0916076 + 0.491536i
\(469\) −1.88097 −0.0868550
\(470\) −0.0456255 + 0.170277i −0.00210455 + 0.00785427i
\(471\) 2.76961 4.17355i 0.127617 0.192307i
\(472\) 1.00527 + 0.580392i 0.0462712 + 0.0267147i
\(473\) −6.64996 6.64996i −0.305766 0.305766i
\(474\) 5.61955 + 6.36710i 0.258114 + 0.292451i
\(475\) −27.4851 + 7.36462i −1.26110 + 0.337912i
\(476\) −2.55536 + 2.55536i −0.117125 + 0.117125i
\(477\) 15.3654 6.47880i 0.703533 0.296644i
\(478\) 21.9666 12.6824i 1.00473 0.580080i
\(479\) −25.6668 6.87739i −1.17275 0.314236i −0.380700 0.924699i \(-0.624317\pi\)
−0.792045 + 0.610462i \(0.790984\pi\)
\(480\) 0.119365 0.0593348i 0.00544825 0.00270825i
\(481\) 6.09700 18.3072i 0.277999 0.834736i
\(482\) 16.8319i 0.766674i
\(483\) 11.6327 2.35218i 0.529305 0.107028i
\(484\) 4.78846 + 8.29386i 0.217657 + 0.376993i
\(485\) 0.454557 0.787315i 0.0206404 0.0357501i
\(486\) −15.5693 0.773275i −0.706236 0.0350765i
\(487\) 1.44277 + 5.38450i 0.0653783 + 0.243995i 0.990880 0.134749i \(-0.0430228\pi\)
−0.925502 + 0.378744i \(0.876356\pi\)
\(488\) 3.71532 + 13.8657i 0.168184 + 0.627673i
\(489\) −5.21875 + 15.5353i −0.236000 + 0.702530i
\(490\) 0.0384802 0.0666496i 0.00173836 0.00301092i
\(491\) 3.86121 + 6.68781i 0.174254 + 0.301817i 0.939903 0.341442i \(-0.110915\pi\)
−0.765649 + 0.643259i \(0.777582\pi\)
\(492\) 2.47335 + 12.2319i 0.111507 + 0.551457i
\(493\) 27.5356i 1.24014i
\(494\) 20.5067 + 1.22542i 0.922642 + 0.0551341i
\(495\) 0.166281 0.219566i 0.00747379 0.00986875i
\(496\) 6.91824 + 1.85374i 0.310638 + 0.0832353i
\(497\) −1.12085 + 0.647123i −0.0502770 + 0.0290274i
\(498\) −1.81257 + 29.0635i −0.0812231 + 1.30237i
\(499\) −16.9200 + 16.9200i −0.757443 + 0.757443i −0.975856 0.218413i \(-0.929912\pi\)
0.218413 + 0.975856i \(0.429912\pi\)
\(500\) 0.742939 0.199070i 0.0332253 0.00890268i
\(501\) −5.62515 + 4.96471i −0.251313 + 0.221807i
\(502\) −7.06662 7.06662i −0.315399 0.315399i
\(503\) −15.8100 9.12792i −0.704934 0.406994i 0.104248 0.994551i \(-0.466756\pi\)
−0.809183 + 0.587557i \(0.800090\pi\)
\(504\) −2.97675 0.372745i −0.132595 0.0166034i
\(505\) 0.157074 0.586209i 0.00698971 0.0260860i
\(506\) 8.17401 0.363379
\(507\) 14.5959 17.1452i 0.648228 0.761446i
\(508\) 14.4637 0.641725
\(509\) −0.845221 + 3.15441i −0.0374638 + 0.139817i −0.982125 0.188232i \(-0.939724\pi\)
0.944661 + 0.328049i \(0.106391\pi\)
\(510\) −0.401381 0.266361i −0.0177735 0.0117947i
\(511\) 4.30771 + 2.48706i 0.190562 + 0.110021i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) 2.21673 + 29.5230i 0.0978708 + 1.30347i
\(514\) 2.03453 0.545150i 0.0897391 0.0240455i
\(515\) 0.834985 0.834985i 0.0367938 0.0367938i
\(516\) −13.6282 0.849931i −0.599946 0.0374161i
\(517\) 2.36641 1.36625i 0.104074 0.0600874i
\(518\) 5.16933 + 1.38512i 0.227127 + 0.0608586i
\(519\) −12.2620 24.6677i −0.538240 1.08279i
\(520\) −0.276990 0.0165521i −0.0121468 0.000725855i
\(521\) 8.47897i 0.371470i 0.982600 + 0.185735i \(0.0594666\pi\)
−0.982600 + 0.185735i \(0.940533\pi\)
\(522\) −18.0464 + 14.0299i −0.789870 + 0.614070i
\(523\) −7.63435 13.2231i −0.333827 0.578205i 0.649432 0.760420i \(-0.275007\pi\)
−0.983259 + 0.182215i \(0.941673\pi\)
\(524\) 8.91033 15.4331i 0.389250 0.674200i
\(525\) −8.19970 2.75451i −0.357864 0.120217i
\(526\) 4.29546 + 16.0309i 0.187291 + 0.698980i
\(527\) −6.69909 25.0014i −0.291817 1.08908i
\(528\) −1.95865 0.657967i −0.0852394 0.0286343i
\(529\) −11.9753 + 20.7418i −0.520665 + 0.901819i
\(530\) 0.213891 + 0.370470i 0.00929084 + 0.0160922i
\(531\) 2.74926 2.13736i 0.119308 0.0927537i
\(532\) 5.69769i 0.247026i
\(533\) 8.20845 24.6472i 0.355548 1.06759i
\(534\) −8.65529 17.4120i −0.374551 0.753493i
\(535\) −0.267171 0.0715882i −0.0115508 0.00309503i
\(536\) −1.62897 + 0.940484i −0.0703606 + 0.0406227i
\(537\) 8.98448 + 0.560324i 0.387709 + 0.0241798i
\(538\) −10.0921 + 10.0921i −0.435101 + 0.435101i
\(539\) −1.15228 + 0.308753i −0.0496322 + 0.0132989i
\(540\) −0.0299419 0.398775i −0.00128850 0.0171605i
\(541\) 26.0909 + 26.0909i 1.12174 + 1.12174i 0.991481 + 0.130255i \(0.0415796\pi\)
0.130255 + 0.991481i \(0.458420\pi\)
\(542\) −13.3254 7.69340i −0.572373 0.330460i
\(543\) −34.9260 23.1773i −1.49882 0.994633i
\(544\) −0.935328 + 3.49069i −0.0401019 + 0.149662i
\(545\) −0.784074 −0.0335860
\(546\) 4.98824 + 3.75733i 0.213477 + 0.160799i
\(547\) −9.74783 −0.416787 −0.208394 0.978045i \(-0.566823\pi\)
−0.208394 + 0.978045i \(0.566823\pi\)
\(548\) −1.75686 + 6.55671i −0.0750495 + 0.280089i
\(549\) 42.7309 + 5.35071i 1.82371 + 0.228363i
\(550\) −5.15941 2.97879i −0.219998 0.127016i
\(551\) 30.6980 + 30.6980i 1.30778 + 1.30778i
\(552\) 8.89810 7.85338i 0.378728 0.334262i
\(553\) 4.73597 1.26900i 0.201394 0.0539633i
\(554\) 2.25882 2.25882i 0.0959681 0.0959681i
\(555\) −0.0444039 + 0.711992i −0.00188484 + 0.0302224i
\(556\) 5.82741 3.36446i 0.247137 0.142685i
\(557\) −21.8248 5.84793i −0.924746 0.247785i −0.235133 0.971963i \(-0.575553\pi\)
−0.689613 + 0.724178i \(0.742219\pi\)
\(558\) 12.9722 17.1291i 0.549158 0.725134i
\(559\) 23.7247 + 15.6553i 1.00345 + 0.662147i
\(560\) 0.0769603i 0.00325217i
\(561\) 1.47990 + 7.31882i 0.0624814 + 0.309001i
\(562\) 11.6394 + 20.1601i 0.490980 + 0.850403i
\(563\) −2.75414 + 4.77031i −0.116073 + 0.201045i −0.918208 0.396098i \(-0.870364\pi\)
0.802135 + 0.597143i \(0.203697\pi\)
\(564\) 1.26338 3.76086i 0.0531979 0.158361i
\(565\) 0.372347 + 1.38962i 0.0156647 + 0.0584616i
\(566\) 1.31059 + 4.89120i 0.0550884 + 0.205593i
\(567\) −4.40097 + 7.85057i −0.184824 + 0.329693i
\(568\) −0.647123 + 1.12085i −0.0271527 + 0.0470298i
\(569\) 10.8841 + 18.8518i 0.456286 + 0.790310i 0.998761 0.0497615i \(-0.0158461\pi\)
−0.542475 + 0.840072i \(0.682513\pi\)
\(570\) −0.744431 + 0.150527i −0.0311808 + 0.00630489i
\(571\) 14.2120i 0.594754i −0.954760 0.297377i \(-0.903888\pi\)
0.954760 0.297377i \(-0.0961118\pi\)
\(572\) 2.85455 + 3.21739i 0.119355 + 0.134526i
\(573\) 22.2779 11.0740i 0.930674 0.462625i
\(574\) 6.95952 + 1.86480i 0.290485 + 0.0778352i
\(575\) 29.6351 17.1098i 1.23587 0.713529i
\(576\) −2.76432 + 1.16557i −0.115180 + 0.0485654i
\(577\) 7.52976 7.52976i 0.313468 0.313468i −0.532784 0.846252i \(-0.678854\pi\)
0.846252 + 0.532784i \(0.178854\pi\)
\(578\) −3.80597 + 1.01981i −0.158307 + 0.0424183i
\(579\) 15.5599 + 17.6298i 0.646646 + 0.732668i
\(580\) −0.414646 0.414646i −0.0172173 0.0172173i
\(581\) 14.5600 + 8.40621i 0.604050 + 0.348748i
\(582\) −11.3132 + 17.0480i −0.468949 + 0.706662i
\(583\) 1.71620 6.40493i 0.0710776 0.265265i
\(584\) 4.97412 0.205830
\(585\) −0.359129 + 0.751002i −0.0148481 + 0.0310501i
\(586\) 9.99777 0.413004
\(587\) 3.86811 14.4360i 0.159654 0.595837i −0.839008 0.544120i \(-0.816864\pi\)
0.998662 0.0517176i \(-0.0164696\pi\)
\(588\) −0.957713 + 1.44319i −0.0394954 + 0.0595160i
\(589\) −35.3412 20.4043i −1.45621 0.840743i
\(590\) 0.0631689 + 0.0631689i 0.00260062 + 0.00260062i
\(591\) −6.01484 6.81499i −0.247418 0.280331i
\(592\) 5.16933 1.38512i 0.212458 0.0569280i
\(593\) −6.19886 + 6.19886i −0.254557 + 0.254557i −0.822836 0.568279i \(-0.807609\pi\)
0.568279 + 0.822836i \(0.307609\pi\)
\(594\) −4.04262 + 4.69898i −0.165871 + 0.192801i
\(595\) −0.240860 + 0.139061i −0.00987431 + 0.00570094i
\(596\) 9.21801 + 2.46996i 0.377584 + 0.101173i
\(597\) 29.3873 14.6080i 1.20274 0.597865i
\(598\) −24.2025 + 4.95937i −0.989715 + 0.202804i
\(599\) 3.99041i 0.163044i −0.996672 0.0815218i \(-0.974022\pi\)
0.996672 0.0815218i \(-0.0259780\pi\)
\(600\) −8.47840 + 1.71437i −0.346129 + 0.0699889i
\(601\) −3.43701 5.95308i −0.140199 0.242831i 0.787373 0.616477i \(-0.211441\pi\)
−0.927571 + 0.373646i \(0.878107\pi\)
\(602\) −3.94176 + 6.82732i −0.160654 + 0.278261i
\(603\) 0.771943 + 5.58985i 0.0314360 + 0.227636i
\(604\) 0.985886 + 3.67938i 0.0401151 + 0.149712i
\(605\) 0.190761 + 0.711929i 0.00775553 + 0.0289440i
\(606\) −4.34942 + 12.9475i −0.176683 + 0.525955i
\(607\) −1.45768 + 2.52478i −0.0591655 + 0.102478i −0.894091 0.447885i \(-0.852177\pi\)
0.834926 + 0.550363i \(0.185511\pi\)
\(608\) 2.84884 + 4.93434i 0.115536 + 0.200114i
\(609\) 2.61563 + 12.9356i 0.105990 + 0.524175i
\(610\) 1.10476i 0.0447303i
\(611\) −6.17779 + 5.48109i −0.249927 + 0.221741i
\(612\) 8.64274 + 6.54531i 0.349362 + 0.264578i
\(613\) −15.6033 4.18088i −0.630210 0.168864i −0.0704448 0.997516i \(-0.522442\pi\)
−0.559765 + 0.828652i \(0.689109\pi\)
\(614\) −12.8725 + 7.43197i −0.519493 + 0.299930i
\(615\) −0.0597814 + 0.958562i −0.00241062 + 0.0386529i
\(616\) −0.843528 + 0.843528i −0.0339867 + 0.0339867i
\(617\) −0.742397 + 0.198925i −0.0298878 + 0.00800840i −0.273732 0.961806i \(-0.588258\pi\)
0.243844 + 0.969814i \(0.421591\pi\)
\(618\) −19.9252 + 17.5858i −0.801510 + 0.707406i
\(619\) 31.0197 + 31.0197i 1.24679 + 1.24679i 0.957131 + 0.289656i \(0.0935410\pi\)
0.289656 + 0.957131i \(0.406459\pi\)
\(620\) 0.477364 + 0.275606i 0.0191714 + 0.0110686i
\(621\) −11.7642 33.6046i −0.472081 1.34851i
\(622\) −0.599288 + 2.23657i −0.0240293 + 0.0896784i
\(623\) −11.2264 −0.449775
\(624\) 6.19860 + 0.759821i 0.248143 + 0.0304172i
\(625\) −24.9112 −0.996448
\(626\) −3.26103 + 12.1703i −0.130337 + 0.486424i
\(627\) 9.80924 + 6.50952i 0.391744 + 0.259965i
\(628\) −2.50446 1.44595i −0.0999388 0.0576997i
\(629\) −13.6755 13.6755i −0.545278 0.545278i
\(630\) −0.213861 0.0870024i −0.00852043 0.00346626i
\(631\) 16.8556 4.51645i 0.671012 0.179797i 0.0928016 0.995685i \(-0.470418\pi\)
0.578211 + 0.815887i \(0.303751\pi\)
\(632\) 3.46697 3.46697i 0.137909 0.137909i
\(633\) 4.27611 + 0.266683i 0.169960 + 0.0105997i
\(634\) −25.4356 + 14.6852i −1.01018 + 0.583226i
\(635\) 1.07520 + 0.288100i 0.0426682 + 0.0114329i
\(636\) −4.28547 8.62119i −0.169930 0.341852i
\(637\) 3.22448 1.61331i 0.127758 0.0639216i
\(638\) 9.08951i 0.359857i
\(639\) 2.38311 + 3.06536i 0.0942744 + 0.121264i
\(640\) −0.0384802 0.0666496i −0.00152106 0.00263456i
\(641\) −24.6416 + 42.6805i −0.973285 + 1.68578i −0.287803 + 0.957690i \(0.592925\pi\)
−0.685482 + 0.728090i \(0.740408\pi\)
\(642\) 5.90093 + 1.98229i 0.232891 + 0.0782349i
\(643\) −0.719275 2.68437i −0.0283654 0.105861i 0.950292 0.311361i \(-0.100785\pi\)
−0.978657 + 0.205500i \(0.934118\pi\)
\(644\) −1.77344 6.61857i −0.0698834 0.260808i
\(645\) −0.996160 0.334639i −0.0392238 0.0131764i
\(646\) 10.2952 17.8319i 0.405061 0.701586i
\(647\) −17.2628 29.9001i −0.678671 1.17549i −0.975381 0.220525i \(-0.929223\pi\)
0.296710 0.954968i \(-0.404111\pi\)
\(648\) 0.113929 + 8.99928i 0.00447554 + 0.353525i
\(649\) 1.38473i 0.0543555i
\(650\) 17.0839 + 5.68959i 0.670085 + 0.223164i
\(651\) −5.52197 11.1087i −0.216423 0.435384i
\(652\) 9.13946 + 2.44891i 0.357929 + 0.0959067i
\(653\) −20.5094 + 11.8411i −0.802596 + 0.463379i −0.844378 0.535748i \(-0.820030\pi\)
0.0417821 + 0.999127i \(0.486696\pi\)
\(654\) 17.6120 + 1.09838i 0.688682 + 0.0429502i
\(655\) 0.969786 0.969786i 0.0378927 0.0378927i
\(656\) 6.95952 1.86480i 0.271724 0.0728081i
\(657\) 5.62316 13.8223i 0.219380 0.539260i
\(658\) −1.61968 1.61968i −0.0631417 0.0631417i
\(659\) 25.5917 + 14.7754i 0.996911 + 0.575567i 0.907333 0.420413i \(-0.138115\pi\)
0.0895780 + 0.995980i \(0.471448\pi\)
\(660\) −0.132496 0.0879259i −0.00515741 0.00342251i
\(661\) −5.56372 + 20.7641i −0.216404 + 0.807629i 0.769264 + 0.638931i \(0.220623\pi\)
−0.985668 + 0.168698i \(0.946044\pi\)
\(662\) −25.3725 −0.986131
\(663\) −8.82236 20.7725i −0.342632 0.806737i
\(664\) 16.8124 0.652448
\(665\) −0.113491 + 0.423555i −0.00440100 + 0.0164247i
\(666\) 1.99481 15.9306i 0.0772974 0.617300i
\(667\) −45.2144 26.1046i −1.75071 1.01077i
\(668\) 3.06297 + 3.06297i 0.118510 + 0.118510i
\(669\) −11.8892 + 10.4933i −0.459662 + 0.405694i
\(670\) −0.139827 + 0.0374666i −0.00540200 + 0.00144746i
\(671\) 12.1087 12.1087i 0.467453 0.467453i
\(672\) −0.107811 + 1.72869i −0.00415891 + 0.0666857i
\(673\) −2.38787 + 1.37864i −0.0920457 + 0.0531426i −0.545316 0.838230i \(-0.683590\pi\)
0.453271 + 0.891373i \(0.350257\pi\)
\(674\) 19.0950 + 5.11650i 0.735513 + 0.197080i
\(675\) −4.82072 + 25.4983i −0.185550 + 0.981429i
\(676\) −10.4041 7.79448i −0.400159 0.299788i
\(677\) 9.49383i 0.364877i 0.983217 + 0.182439i \(0.0583991\pi\)
−0.983217 + 0.182439i \(0.941601\pi\)
\(678\) −6.41703 31.7354i −0.246445 1.21879i
\(679\) 5.90638 + 10.2301i 0.226666 + 0.392597i
\(680\) −0.139061 + 0.240860i −0.00533274 + 0.00923657i
\(681\) 7.65275 22.7809i 0.293254 0.872965i
\(682\) −2.21138 8.25297i −0.0846780 0.316023i
\(683\) −6.31688 23.5749i −0.241709 0.902070i −0.975009 0.222165i \(-0.928688\pi\)
0.733300 0.679905i \(-0.237979\pi\)
\(684\) 16.9324 2.33831i 0.647426 0.0894077i
\(685\) −0.261203 + 0.452418i −0.00998007 + 0.0172860i
\(686\) 0.500000 + 0.866025i 0.0190901 + 0.0330650i
\(687\) 28.8072 5.82495i 1.09906 0.222236i
\(688\) 7.88351i 0.300556i
\(689\) −1.19548 + 20.0057i −0.0455440 + 0.762156i
\(690\) 0.817897 0.406565i 0.0311368 0.0154777i
\(691\) −2.40274 0.643813i −0.0914047 0.0244918i 0.212827 0.977090i \(-0.431733\pi\)
−0.304232 + 0.952598i \(0.598400\pi\)
\(692\) −13.7736 + 7.95220i −0.523595 + 0.302297i
\(693\) 1.39044 + 3.29763i 0.0528185 + 0.125267i
\(694\) 21.4157 21.4157i 0.812929 0.812929i
\(695\) 0.500214 0.134032i 0.0189742 0.00508412i
\(696\) 8.73297 + 9.89470i 0.331022 + 0.375058i
\(697\) −18.4115 18.4115i −0.697384 0.697384i
\(698\) 11.5534 + 6.67036i 0.437303 + 0.252477i
\(699\) 23.3114 35.1281i 0.881717 1.32867i
\(700\) −1.29256 + 4.82391i −0.0488543 + 0.182327i
\(701\) −48.2767 −1.82338 −0.911692 0.410873i \(-0.865224\pi\)
−0.911692 + 0.410873i \(0.865224\pi\)
\(702\) 9.11885 16.3660i 0.344169 0.617696i
\(703\) −30.4922 −1.15004
\(704\) −0.308753 + 1.15228i −0.0116366 + 0.0434282i
\(705\) 0.168829 0.254409i 0.00635846 0.00958162i
\(706\) 2.53791 + 1.46526i 0.0955156 + 0.0551460i
\(707\) 5.57605 + 5.57605i 0.209709 + 0.209709i
\(708\) −1.33042 1.50740i −0.0500001 0.0566515i
\(709\) −25.3069 + 6.78095i −0.950419 + 0.254664i −0.700540 0.713613i \(-0.747057\pi\)
−0.249879 + 0.968277i \(0.580391\pi\)
\(710\) −0.0704318 + 0.0704318i −0.00264326 + 0.00264326i
\(711\) −5.71483 13.5535i −0.214323 0.508298i
\(712\) −9.72231 + 5.61318i −0.364359 + 0.210363i
\(713\) 47.4041 + 12.7019i 1.77530 + 0.475690i
\(714\) 5.60504 2.78619i 0.209763 0.104270i
\(715\) 0.148115 + 0.296033i 0.00553918 + 0.0110710i
\(716\) 5.19727i 0.194231i
\(717\) −43.0616 + 8.70725i −1.60817 + 0.325178i
\(718\) 6.45212 + 11.1754i 0.240791 + 0.417063i
\(719\) −15.0175 + 26.0111i −0.560059 + 0.970051i 0.437431 + 0.899252i \(0.355888\pi\)
−0.997491 + 0.0707991i \(0.977445\pi\)
\(720\) −0.228710 + 0.0315843i −0.00852353 + 0.00117708i
\(721\) 3.97121 + 14.8208i 0.147896 + 0.551954i
\(722\) −3.48465 13.0049i −0.129685 0.483993i
\(723\) −9.28376 + 27.6361i −0.345267 + 1.02780i
\(724\) −12.1003 + 20.9584i −0.449705 + 0.778912i
\(725\) 19.0262 + 32.9543i 0.706614 + 1.22389i
\(726\) −3.28757 16.2587i −0.122013 0.603416i
\(727\) 21.2709i 0.788893i −0.918919 0.394447i \(-0.870936\pi\)
0.918919 0.394447i \(-0.129064\pi\)
\(728\) 1.98582 3.00940i 0.0735995 0.111536i
\(729\) 25.1364 + 9.85695i 0.930979 + 0.365072i
\(730\) 0.369766 + 0.0990785i 0.0136856 + 0.00366706i
\(731\) 24.6728 14.2448i 0.912556 0.526864i
\(732\) 1.54762 24.8152i 0.0572016 0.917195i
\(733\) 22.8697 22.8697i 0.844712 0.844712i −0.144755 0.989467i \(-0.546240\pi\)
0.989467 + 0.144755i \(0.0462396\pi\)
\(734\) −2.63048 + 0.704835i −0.0970927 + 0.0260159i
\(735\) −0.0999410 + 0.0882070i −0.00368638 + 0.00325356i
\(736\) −4.84513 4.84513i −0.178594 0.178594i
\(737\) 1.94324 + 1.12193i 0.0715802 + 0.0413268i
\(738\) 2.68564 21.4476i 0.0988596 0.789497i
\(739\) 1.59410 5.94927i 0.0586400 0.218847i −0.930388 0.366577i \(-0.880530\pi\)
0.989028 + 0.147729i \(0.0471964\pi\)
\(740\) 0.411867 0.0151405
\(741\) −32.9938 13.3226i −1.21206 0.489418i
\(742\) −5.55848 −0.204058
\(743\) 7.22911 26.9794i 0.265210 0.989779i −0.696911 0.717158i \(-0.745443\pi\)
0.962121 0.272621i \(-0.0878905\pi\)
\(744\) −10.3365 6.85942i −0.378955 0.251479i
\(745\) 0.636050 + 0.367223i 0.0233031 + 0.0134540i
\(746\) −3.07878 3.07878i −0.112722 0.112722i
\(747\) 19.0062 46.7192i 0.695400 1.70937i
\(748\) 4.16415 1.11578i 0.152256 0.0407970i
\(749\) 2.54134 2.54134i 0.0928586 0.0928586i
\(750\) −1.32962 0.0829227i −0.0485508 0.00302791i
\(751\) 43.6668 25.2110i 1.59342 0.919964i 0.600711 0.799466i \(-0.294884\pi\)
0.992714 0.120498i \(-0.0384491\pi\)
\(752\) −2.21252 0.592844i −0.0806825 0.0216188i
\(753\) 7.70494 + 15.5002i 0.280784 + 0.564860i
\(754\) −5.51483 26.9133i −0.200838 0.980123i
\(755\) 0.293155i 0.0106690i
\(756\) 4.68190 + 2.25385i 0.170279 + 0.0819717i
\(757\) −6.43465 11.1451i −0.233871 0.405077i 0.725073 0.688672i \(-0.241806\pi\)
−0.958944 + 0.283595i \(0.908473\pi\)
\(758\) −1.52371 + 2.63915i −0.0553437 + 0.0958581i
\(759\) −13.4208 4.50842i −0.487143 0.163645i
\(760\) 0.113491 + 0.423555i 0.00411676 + 0.0153639i
\(761\) 4.42307 + 16.5071i 0.160336 + 0.598382i 0.998589 + 0.0531011i \(0.0169105\pi\)
−0.838253 + 0.545281i \(0.816423\pi\)
\(762\) −23.7478 7.97756i −0.860292 0.288997i
\(763\) 5.09401 8.82309i 0.184416 0.319417i
\(764\) −7.18181 12.4393i −0.259829 0.450037i
\(765\) 0.512109 + 0.658718i 0.0185153 + 0.0238160i
\(766\) 17.2022i 0.621541i
\(767\) 0.840151 + 4.10007i 0.0303361 + 0.148045i
\(768\) 0.770979 + 1.55100i 0.0278203 + 0.0559668i
\(769\) 6.88610 + 1.84513i 0.248319 + 0.0665370i 0.380832 0.924644i \(-0.375638\pi\)
−0.132512 + 0.991181i \(0.542304\pi\)
\(770\) −0.0795082 + 0.0459041i −0.00286528 + 0.00165427i
\(771\) −3.64114 0.227082i −0.131132 0.00817817i
\(772\) 9.59964 9.59964i 0.345498 0.345498i
\(773\) 3.91098 1.04794i 0.140668 0.0376919i −0.187798 0.982208i \(-0.560135\pi\)
0.328466