Properties

Label 210.3.w.a.173.11
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 173.11
Character \(\chi\) \(=\) 210.173
Dual form 210.3.w.a.17.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.36603 + 0.366025i) q^{2} +(1.05588 - 2.80804i) q^{3} +(1.73205 - 1.00000i) q^{4} +(-1.47500 - 4.77749i) q^{5} +(-0.414547 + 4.22234i) q^{6} +(6.99874 - 0.132847i) q^{7} +(-2.00000 + 2.00000i) q^{8} +(-6.77022 - 5.92993i) q^{9} +O(q^{10})\) \(q+(-1.36603 + 0.366025i) q^{2} +(1.05588 - 2.80804i) q^{3} +(1.73205 - 1.00000i) q^{4} +(-1.47500 - 4.77749i) q^{5} +(-0.414547 + 4.22234i) q^{6} +(6.99874 - 0.132847i) q^{7} +(-2.00000 + 2.00000i) q^{8} +(-6.77022 - 5.92993i) q^{9} +(3.76357 + 5.98628i) q^{10} +(9.30088 - 5.36987i) q^{11} +(-0.979202 - 5.91956i) q^{12} +(-3.28522 + 3.28522i) q^{13} +(-9.51183 + 2.74319i) q^{14} +(-14.9728 - 0.902596i) q^{15} +(2.00000 - 3.46410i) q^{16} +(-16.0246 - 4.29378i) q^{17} +(11.4188 + 5.62236i) q^{18} +(-1.04608 + 1.81186i) q^{19} +(-7.33226 - 6.79985i) q^{20} +(7.01681 - 19.7930i) q^{21} +(-10.7397 + 10.7397i) q^{22} +(-3.40405 - 12.7041i) q^{23} +(3.50432 + 7.72785i) q^{24} +(-20.6487 + 14.0936i) q^{25} +(3.28522 - 5.69017i) q^{26} +(-23.8001 + 12.7498i) q^{27} +(11.9893 - 7.22884i) q^{28} -21.8689 q^{29} +(20.7836 - 4.24746i) q^{30} +(40.3894 - 23.3188i) q^{31} +(-1.46410 + 5.46410i) q^{32} +(-5.25818 - 31.7872i) q^{33} +23.4616 q^{34} +(-10.9578 - 33.2404i) q^{35} +(-17.6563 - 3.50072i) q^{36} +(-10.9244 - 40.7704i) q^{37} +(0.765783 - 2.85794i) q^{38} +(5.75624 + 12.6939i) q^{39} +(12.5050 + 6.60497i) q^{40} +41.7957 q^{41} +(-2.34038 + 29.6061i) q^{42} +(-32.4714 - 32.4714i) q^{43} +(10.7397 - 18.6018i) q^{44} +(-18.3441 + 41.0913i) q^{45} +(9.30003 + 16.1081i) q^{46} +(18.0449 + 67.3444i) q^{47} +(-7.61558 - 9.27377i) q^{48} +(48.9647 - 1.85952i) q^{49} +(23.0481 - 26.8102i) q^{50} +(-28.9772 + 40.4641i) q^{51} +(-2.40495 + 8.97539i) q^{52} +(-31.2227 - 8.36609i) q^{53} +(27.8448 - 26.1279i) q^{54} +(-39.3733 - 36.5143i) q^{55} +(-13.7318 + 14.2632i) q^{56} +(3.98325 + 4.85055i) q^{57} +(29.8734 - 8.00456i) q^{58} +(-8.21615 + 4.74360i) q^{59} +(-26.8363 + 13.4095i) q^{60} +(100.996 + 58.3099i) q^{61} +(-46.6377 + 46.6377i) q^{62} +(-48.1708 - 40.6026i) q^{63} -8.00000i q^{64} +(20.5408 + 10.8494i) q^{65} +(18.8177 + 41.4975i) q^{66} +(-2.25609 - 0.604518i) q^{67} +(-32.0492 + 8.58756i) q^{68} +(-39.2679 - 3.85530i) q^{69} +(27.1355 + 41.3964i) q^{70} +82.6653i q^{71} +(25.4003 - 1.68059i) q^{72} +(89.0639 + 23.8646i) q^{73} +(29.8460 + 51.6948i) q^{74} +(17.7728 + 72.8638i) q^{75} +4.18431i q^{76} +(64.3811 - 38.8179i) q^{77} +(-12.5094 - 15.2332i) q^{78} +(-27.5447 - 15.9030i) q^{79} +(-19.4997 - 4.44542i) q^{80} +(10.6719 + 80.2939i) q^{81} +(-57.0939 + 15.2983i) q^{82} +(37.0831 + 37.0831i) q^{83} +(-7.63957 - 41.2994i) q^{84} +(3.12284 + 82.8906i) q^{85} +(56.2421 + 32.4714i) q^{86} +(-23.0909 + 61.4087i) q^{87} +(-7.86203 + 29.3415i) q^{88} +(136.159 + 78.6114i) q^{89} +(10.0180 - 62.8462i) q^{90} +(-22.5560 + 23.4288i) q^{91} +(-18.6001 - 18.6001i) q^{92} +(-22.8339 - 138.037i) q^{93} +(-49.2996 - 85.3893i) q^{94} +(10.1991 + 2.32513i) q^{95} +(13.7975 + 9.88071i) q^{96} +(-41.8856 - 41.8856i) q^{97} +(-66.2064 + 20.4625i) q^{98} +(-94.8120 - 18.7984i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q - 32q^{2} - 6q^{3} - 12q^{5} + 4q^{7} - 128q^{8} - 16q^{9} + O(q^{10}) \) \( 64q - 32q^{2} - 6q^{3} - 12q^{5} + 4q^{7} - 128q^{8} - 16q^{9} + 24q^{10} + 12q^{12} - 16q^{14} - 44q^{15} + 128q^{16} - 20q^{18} + 36q^{21} + 16q^{22} - 12q^{23} - 16q^{25} + 8q^{28} - 112q^{29} + 26q^{30} + 128q^{32} + 30q^{33} + 16q^{36} - 32q^{37} + 24q^{38} + 64q^{39} - 136q^{42} + 32q^{43} - 16q^{44} - 114q^{45} - 24q^{46} - 96q^{47} + 40q^{50} - 84q^{51} + 56q^{53} - 72q^{54} - 316q^{57} + 56q^{58} + 672q^{59} + 8q^{60} + 600q^{61} - 210q^{63} + 28q^{65} + 16q^{67} + 24q^{72} - 624q^{73} - 64q^{74} + 48q^{75} + 208q^{77} - 8q^{78} - 48q^{80} - 64q^{81} - 192q^{82} + 160q^{84} - 152q^{85} + 60q^{87} - 16q^{88} + 144q^{89} - 232q^{91} + 48q^{92} - 170q^{93} + 136q^{95} - 48q^{96} + 128q^{98} + 160q^{99} + O(q^{100}) \)

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
\(3\) 1.05588 2.80804i 0.351961 0.936015i
\(4\) 1.73205 1.00000i 0.433013 0.250000i
\(5\) −1.47500 4.77749i −0.295000 0.955497i
\(6\) −0.414547 + 4.22234i −0.0690912 + 0.703723i
\(7\) 6.99874 0.132847i 0.999820 0.0189781i
\(8\) −2.00000 + 2.00000i −0.250000 + 0.250000i
\(9\) −6.77022 5.92993i −0.752247 0.658881i
\(10\) 3.76357 + 5.98628i 0.376357 + 0.598628i
\(11\) 9.30088 5.36987i 0.845535 0.488170i −0.0136071 0.999907i \(-0.504331\pi\)
0.859142 + 0.511738i \(0.170998\pi\)
\(12\) −0.979202 5.91956i −0.0816001 0.493296i
\(13\) −3.28522 + 3.28522i −0.252709 + 0.252709i −0.822081 0.569371i \(-0.807187\pi\)
0.569371 + 0.822081i \(0.307187\pi\)
\(14\) −9.51183 + 2.74319i −0.679416 + 0.195942i
\(15\) −14.9728 0.902596i −0.998188 0.0601731i
\(16\) 2.00000 3.46410i 0.125000 0.216506i
\(17\) −16.0246 4.29378i −0.942624 0.252575i −0.245394 0.969423i \(-0.578917\pi\)
−0.697229 + 0.716848i \(0.745584\pi\)
\(18\) 11.4188 + 5.62236i 0.634378 + 0.312353i
\(19\) −1.04608 + 1.81186i −0.0550568 + 0.0953611i −0.892240 0.451561i \(-0.850867\pi\)
0.837183 + 0.546922i \(0.184201\pi\)
\(20\) −7.33226 6.79985i −0.366613 0.339992i
\(21\) 7.01681 19.7930i 0.334134 0.942526i
\(22\) −10.7397 + 10.7397i −0.488170 + 0.488170i
\(23\) −3.40405 12.7041i −0.148002 0.552351i −0.999603 0.0281612i \(-0.991035\pi\)
0.851601 0.524190i \(-0.175632\pi\)
\(24\) 3.50432 + 7.72785i 0.146013 + 0.321994i
\(25\) −20.6487 + 14.0936i −0.825950 + 0.563744i
\(26\) 3.28522 5.69017i 0.126355 0.218853i
\(27\) −23.8001 + 12.7498i −0.881484 + 0.472214i
\(28\) 11.9893 7.22884i 0.428190 0.258173i
\(29\) −21.8689 −0.754099 −0.377049 0.926193i \(-0.623061\pi\)
−0.377049 + 0.926193i \(0.623061\pi\)
\(30\) 20.7836 4.24746i 0.692787 0.141582i
\(31\) 40.3894 23.3188i 1.30288 0.752221i 0.321987 0.946744i \(-0.395649\pi\)
0.980898 + 0.194523i \(0.0623160\pi\)
\(32\) −1.46410 + 5.46410i −0.0457532 + 0.170753i
\(33\) −5.25818 31.7872i −0.159339 0.963249i
\(34\) 23.4616 0.690048
\(35\) −10.9578 33.2404i −0.313081 0.949727i
\(36\) −17.6563 3.50072i −0.490453 0.0972421i
\(37\) −10.9244 40.7704i −0.295254 1.10190i −0.941016 0.338363i \(-0.890127\pi\)
0.645762 0.763539i \(-0.276540\pi\)
\(38\) 0.765783 2.85794i 0.0201522 0.0752089i
\(39\) 5.75624 + 12.6939i 0.147596 + 0.325484i
\(40\) 12.5050 + 6.60497i 0.312624 + 0.165124i
\(41\) 41.7957 1.01941 0.509703 0.860350i \(-0.329755\pi\)
0.509703 + 0.860350i \(0.329755\pi\)
\(42\) −2.34038 + 29.6061i −0.0557234 + 0.704908i
\(43\) −32.4714 32.4714i −0.755148 0.755148i 0.220287 0.975435i \(-0.429301\pi\)
−0.975435 + 0.220287i \(0.929301\pi\)
\(44\) 10.7397 18.6018i 0.244085 0.422767i
\(45\) −18.3441 + 41.0913i −0.407646 + 0.913140i
\(46\) 9.30003 + 16.1081i 0.202175 + 0.350177i
\(47\) 18.0449 + 67.3444i 0.383934 + 1.43286i 0.839841 + 0.542833i \(0.182648\pi\)
−0.455907 + 0.890028i \(0.650685\pi\)
\(48\) −7.61558 9.27377i −0.158658 0.193204i
\(49\) 48.9647 1.85952i 0.999280 0.0379493i
\(50\) 23.0481 26.8102i 0.460962 0.536203i
\(51\) −28.9772 + 40.4641i −0.568181 + 0.793413i
\(52\) −2.40495 + 8.97539i −0.0462490 + 0.172604i
\(53\) −31.2227 8.36609i −0.589107 0.157851i −0.0480619 0.998844i \(-0.515304\pi\)
−0.541045 + 0.840994i \(0.681971\pi\)
\(54\) 27.8448 26.1279i 0.515644 0.483851i
\(55\) −39.3733 36.5143i −0.715878 0.663896i
\(56\) −13.7318 + 14.2632i −0.245210 + 0.254699i
\(57\) 3.98325 + 4.85055i 0.0698816 + 0.0850973i
\(58\) 29.8734 8.00456i 0.515059 0.138010i
\(59\) −8.21615 + 4.74360i −0.139257 + 0.0804000i −0.568010 0.823022i \(-0.692286\pi\)
0.428753 + 0.903422i \(0.358953\pi\)
\(60\) −26.8363 + 13.4095i −0.447271 + 0.223491i
\(61\) 100.996 + 58.3099i 1.65567 + 0.955901i 0.974679 + 0.223607i \(0.0717832\pi\)
0.680989 + 0.732294i \(0.261550\pi\)
\(62\) −46.6377 + 46.6377i −0.752221 + 0.752221i
\(63\) −48.1708 40.6026i −0.764616 0.644486i
\(64\) 8.00000i 0.125000i
\(65\) 20.5408 + 10.8494i 0.316012 + 0.166914i
\(66\) 18.8177 + 41.4975i 0.285117 + 0.628751i
\(67\) −2.25609 0.604518i −0.0336730 0.00902266i 0.241943 0.970290i \(-0.422215\pi\)
−0.275616 + 0.961268i \(0.588882\pi\)
\(68\) −32.0492 + 8.58756i −0.471312 + 0.126288i
\(69\) −39.2679 3.85530i −0.569100 0.0558739i
\(70\) 27.1355 + 41.3964i 0.387650 + 0.591378i
\(71\) 82.6653i 1.16430i 0.813082 + 0.582150i \(0.197788\pi\)
−0.813082 + 0.582150i \(0.802212\pi\)
\(72\) 25.4003 1.68059i 0.352782 0.0233415i
\(73\) 89.0639 + 23.8646i 1.22005 + 0.326912i 0.810699 0.585463i \(-0.199087\pi\)
0.409355 + 0.912375i \(0.365754\pi\)
\(74\) 29.8460 + 51.6948i 0.403324 + 0.698578i
\(75\) 17.7728 + 72.8638i 0.236971 + 0.971517i
\(76\) 4.18431i 0.0550568i
\(77\) 64.3811 38.8179i 0.836118 0.504128i
\(78\) −12.5094 15.2332i −0.160377 0.195297i
\(79\) −27.5447 15.9030i −0.348668 0.201303i 0.315431 0.948949i \(-0.397851\pi\)
−0.664098 + 0.747645i \(0.731184\pi\)
\(80\) −19.4997 4.44542i −0.243746 0.0555677i
\(81\) 10.6719 + 80.2939i 0.131751 + 0.991283i
\(82\) −57.0939 + 15.2983i −0.696268 + 0.186564i
\(83\) 37.0831 + 37.0831i 0.446785 + 0.446785i 0.894284 0.447499i \(-0.147685\pi\)
−0.447499 + 0.894284i \(0.647685\pi\)
\(84\) −7.63957 41.2994i −0.0909473 0.491659i
\(85\) 3.12284 + 82.8906i 0.0367393 + 0.975184i
\(86\) 56.2421 + 32.4714i 0.653977 + 0.377574i
\(87\) −23.0909 + 61.4087i −0.265413 + 0.705847i
\(88\) −7.86203 + 29.3415i −0.0893412 + 0.333426i
\(89\) 136.159 + 78.6114i 1.52987 + 0.883274i 0.999366 + 0.0355942i \(0.0113324\pi\)
0.530509 + 0.847680i \(0.322001\pi\)
\(90\) 10.0180 62.8462i 0.111311 0.698291i
\(91\) −22.5560 + 23.4288i −0.247868 + 0.257460i
\(92\) −18.6001 18.6001i −0.202175 0.202175i
\(93\) −22.8339 138.037i −0.245525 1.48427i
\(94\) −49.2996 85.3893i −0.524463 0.908397i
\(95\) 10.1991 + 2.32513i 0.107359 + 0.0244750i
\(96\) 13.7975 + 9.88071i 0.143724 + 0.102924i
\(97\) −41.8856 41.8856i −0.431810 0.431810i 0.457434 0.889244i \(-0.348769\pi\)
−0.889244 + 0.457434i \(0.848769\pi\)
\(98\) −66.2064 + 20.4625i −0.675575 + 0.208801i
\(99\) −94.8120 18.7984i −0.957697 0.189883i
\(100\) −21.6711 + 45.0596i −0.216711 + 0.450596i
\(101\) −92.9876 161.059i −0.920670 1.59465i −0.798381 0.602152i \(-0.794310\pi\)
−0.122288 0.992495i \(-0.539023\pi\)
\(102\) 24.7727 65.8813i 0.242870 0.645895i
\(103\) −19.6216 73.2287i −0.190501 0.710958i −0.993386 0.114824i \(-0.963370\pi\)
0.802885 0.596134i \(-0.203297\pi\)
\(104\) 13.1409i 0.126355i
\(105\) −104.911 4.32795i −0.999150 0.0412185i
\(106\) 45.7132 0.431256
\(107\) 127.816 34.2483i 1.19454 0.320077i 0.393864 0.919169i \(-0.371138\pi\)
0.800681 + 0.599092i \(0.204471\pi\)
\(108\) −28.4732 + 45.8833i −0.263640 + 0.424846i
\(109\) 140.071 80.8701i 1.28506 0.741927i 0.307288 0.951617i \(-0.400579\pi\)
0.977768 + 0.209689i \(0.0672452\pi\)
\(110\) 67.1500 + 35.4678i 0.610455 + 0.322435i
\(111\) −126.020 12.3726i −1.13531 0.111465i
\(112\) 13.5373 24.5100i 0.120869 0.218840i
\(113\) −15.2685 + 15.2685i −0.135119 + 0.135119i −0.771432 0.636312i \(-0.780459\pi\)
0.636312 + 0.771432i \(0.280459\pi\)
\(114\) −7.21664 5.16800i −0.0633039 0.0453333i
\(115\) −55.6726 + 35.0013i −0.484109 + 0.304359i
\(116\) −37.8780 + 21.8689i −0.326534 + 0.188525i
\(117\) 41.7228 2.76055i 0.356605 0.0235944i
\(118\) 9.48720 9.48720i 0.0804000 0.0804000i
\(119\) −112.722 27.9222i −0.947247 0.234641i
\(120\) 31.7508 28.1404i 0.264590 0.234504i
\(121\) −2.82907 + 4.90010i −0.0233808 + 0.0404967i
\(122\) −159.306 42.6858i −1.30578 0.349884i
\(123\) 44.1313 117.364i 0.358791 0.954179i
\(124\) 46.6377 80.7789i 0.376110 0.651442i
\(125\) 97.7889 + 77.8610i 0.782311 + 0.622888i
\(126\) 80.6641 + 37.8325i 0.640192 + 0.300258i
\(127\) −60.5483 + 60.5483i −0.476758 + 0.476758i −0.904093 0.427335i \(-0.859453\pi\)
0.427335 + 0.904093i \(0.359453\pi\)
\(128\) 2.92820 + 10.9282i 0.0228766 + 0.0853766i
\(129\) −125.467 + 56.8951i −0.972612 + 0.441047i
\(130\) −32.0304 7.30209i −0.246388 0.0561699i
\(131\) 85.5142 148.115i 0.652780 1.13065i −0.329666 0.944098i \(-0.606936\pi\)
0.982445 0.186550i \(-0.0597307\pi\)
\(132\) −40.8947 49.7989i −0.309808 0.377265i
\(133\) −7.08053 + 12.8197i −0.0532371 + 0.0963888i
\(134\) 3.30315 0.0246504
\(135\) 96.0170 + 94.8986i 0.711237 + 0.702952i
\(136\) 40.6368 23.4616i 0.298800 0.172512i
\(137\) 9.73567 36.3340i 0.0710633 0.265212i −0.921249 0.388974i \(-0.872829\pi\)
0.992312 + 0.123763i \(0.0394961\pi\)
\(138\) 55.0521 9.10660i 0.398928 0.0659899i
\(139\) 167.962 1.20836 0.604180 0.796848i \(-0.293501\pi\)
0.604180 + 0.796848i \(0.293501\pi\)
\(140\) −52.2199 46.6163i −0.373000 0.332974i
\(141\) 208.159 + 20.4370i 1.47631 + 0.144943i
\(142\) −30.2576 112.923i −0.213082 0.795231i
\(143\) −12.9143 + 48.1967i −0.0903095 + 0.337040i
\(144\) −34.0823 + 11.5929i −0.236683 + 0.0805061i
\(145\) 32.2566 + 104.478i 0.222459 + 0.720539i
\(146\) −130.399 −0.893141
\(147\) 46.4794 139.458i 0.316186 0.948697i
\(148\) −59.6920 59.6920i −0.403324 0.403324i
\(149\) 137.856 238.773i 0.925207 1.60251i 0.133979 0.990984i \(-0.457224\pi\)
0.791228 0.611522i \(-0.209442\pi\)
\(150\) −50.9481 93.0285i −0.339654 0.620190i
\(151\) −60.5110 104.808i −0.400735 0.694093i 0.593080 0.805144i \(-0.297912\pi\)
−0.993815 + 0.111051i \(0.964578\pi\)
\(152\) −1.53157 5.71588i −0.0100761 0.0376045i
\(153\) 83.0283 + 124.095i 0.542669 + 0.811076i
\(154\) −73.7379 + 76.5913i −0.478817 + 0.497346i
\(155\) −170.980 158.565i −1.10310 1.02300i
\(156\) 22.6640 + 16.2302i 0.145282 + 0.104040i
\(157\) −23.3449 + 87.1243i −0.148694 + 0.554932i 0.850870 + 0.525377i \(0.176076\pi\)
−0.999563 + 0.0295549i \(0.990591\pi\)
\(158\) 43.4477 + 11.6418i 0.274986 + 0.0736821i
\(159\) −56.4598 + 78.8410i −0.355093 + 0.495855i
\(160\) 28.2642 1.06483i 0.176651 0.00665520i
\(161\) −25.5117 88.4603i −0.158458 0.549443i
\(162\) −43.9676 105.777i −0.271405 0.652947i
\(163\) −60.2571 + 16.1458i −0.369676 + 0.0990543i −0.438874 0.898549i \(-0.644623\pi\)
0.0691984 + 0.997603i \(0.477956\pi\)
\(164\) 72.3922 41.7957i 0.441416 0.254852i
\(165\) −144.107 + 72.0071i −0.873377 + 0.436407i
\(166\) −64.2299 37.0831i −0.386927 0.223392i
\(167\) −5.23730 + 5.23730i −0.0313611 + 0.0313611i −0.722613 0.691252i \(-0.757059\pi\)
0.691252 + 0.722613i \(0.257059\pi\)
\(168\) 25.5525 + 53.6197i 0.152098 + 0.319165i
\(169\) 147.415i 0.872276i
\(170\) −34.6060 112.088i −0.203564 0.659339i
\(171\) 17.8264 6.06353i 0.104248 0.0354593i
\(172\) −88.7134 23.7707i −0.515776 0.138202i
\(173\) −117.733 + 31.5466i −0.680540 + 0.182350i −0.582498 0.812832i \(-0.697925\pi\)
−0.0980419 + 0.995182i \(0.531258\pi\)
\(174\) 9.06567 92.3377i 0.0521016 0.530677i
\(175\) −142.643 + 101.381i −0.815102 + 0.579317i
\(176\) 42.9589i 0.244085i
\(177\) 4.64494 + 28.0800i 0.0262426 + 0.158644i
\(178\) −214.770 57.5475i −1.20657 0.323301i
\(179\) 32.0467 + 55.5065i 0.179032 + 0.310092i 0.941549 0.336876i \(-0.109370\pi\)
−0.762517 + 0.646968i \(0.776037\pi\)
\(180\) 9.31844 + 89.5163i 0.0517691 + 0.497313i
\(181\) 305.611i 1.68846i 0.535984 + 0.844228i \(0.319941\pi\)
−0.535984 + 0.844228i \(0.680059\pi\)
\(182\) 22.2365 40.2605i 0.122179 0.221211i
\(183\) 270.377 222.032i 1.47747 1.21329i
\(184\) 32.2162 + 18.6001i 0.175088 + 0.101087i
\(185\) −178.666 + 112.327i −0.965764 + 0.607175i
\(186\) 81.7168 + 180.205i 0.439337 + 0.968842i
\(187\) −172.100 + 46.1140i −0.920321 + 0.246599i
\(188\) 98.5991 + 98.5991i 0.524463 + 0.524463i
\(189\) −164.877 + 92.3941i −0.872364 + 0.488858i
\(190\) −14.7833 + 0.556949i −0.0778068 + 0.00293131i
\(191\) 91.1439 + 52.6220i 0.477193 + 0.275508i 0.719246 0.694755i \(-0.244487\pi\)
−0.242053 + 0.970263i \(0.577821\pi\)
\(192\) −22.4644 8.44706i −0.117002 0.0439951i
\(193\) 30.3272 113.183i 0.157136 0.586439i −0.841777 0.539825i \(-0.818490\pi\)
0.998913 0.0466140i \(-0.0148431\pi\)
\(194\) 72.5479 + 41.8856i 0.373958 + 0.215905i
\(195\) 52.1543 46.2238i 0.267458 0.237045i
\(196\) 82.9498 52.1855i 0.423213 0.266252i
\(197\) 227.255 + 227.255i 1.15358 + 1.15358i 0.985830 + 0.167748i \(0.0536494\pi\)
0.167748 + 0.985830i \(0.446351\pi\)
\(198\) 136.396 9.02453i 0.688870 0.0455784i
\(199\) −53.7513 93.1000i −0.270107 0.467839i 0.698782 0.715335i \(-0.253726\pi\)
−0.968889 + 0.247495i \(0.920392\pi\)
\(200\) 13.1103 69.4847i 0.0655515 0.347423i
\(201\) −4.07968 + 5.69690i −0.0202969 + 0.0283428i
\(202\) 185.975 + 185.975i 0.920670 + 0.920670i
\(203\) −153.054 + 2.90520i −0.753963 + 0.0143113i
\(204\) −9.72596 + 99.0630i −0.0476763 + 0.485603i
\(205\) −61.6487 199.678i −0.300725 0.974040i
\(206\) 53.6071 + 92.8502i 0.260229 + 0.450729i
\(207\) −52.2881 + 106.195i −0.252600 + 0.513020i
\(208\) 4.80990 + 17.9508i 0.0231245 + 0.0863019i
\(209\) 22.4692i 0.107508i
\(210\) 144.895 32.4879i 0.689976 0.154704i
\(211\) −297.536 −1.41012 −0.705061 0.709147i \(-0.749080\pi\)
−0.705061 + 0.709147i \(0.749080\pi\)
\(212\) −62.4453 + 16.7322i −0.294553 + 0.0789254i
\(213\) 232.128 + 87.2848i 1.08980 + 0.409788i
\(214\) −162.065 + 93.5680i −0.757311 + 0.437234i
\(215\) −107.236 + 203.027i −0.498773 + 0.944311i
\(216\) 22.1006 73.0997i 0.102318 0.338424i
\(217\) 279.577 168.568i 1.28837 0.776812i
\(218\) −161.740 + 161.740i −0.741927 + 0.741927i
\(219\) 161.054 224.897i 0.735406 1.02693i
\(220\) −104.711 23.8713i −0.475958 0.108506i
\(221\) 66.7504 38.5384i 0.302038 0.174382i
\(222\) 176.675 29.2252i 0.795833 0.131645i
\(223\) −194.026 + 194.026i −0.870074 + 0.870074i −0.992480 0.122406i \(-0.960939\pi\)
0.122406 + 0.992480i \(0.460939\pi\)
\(224\) −9.52098 + 38.4363i −0.0425044 + 0.171591i
\(225\) 223.371 + 27.0288i 0.992758 + 0.120128i
\(226\) 15.2685 26.4458i 0.0675597 0.117017i
\(227\) 64.3983 + 17.2555i 0.283693 + 0.0760153i 0.397860 0.917446i \(-0.369753\pi\)
−0.114167 + 0.993462i \(0.536420\pi\)
\(228\) 11.7497 + 4.41815i 0.0515339 + 0.0193778i
\(229\) −22.0393 + 38.1732i −0.0962416 + 0.166695i −0.910126 0.414331i \(-0.864015\pi\)
0.813885 + 0.581027i \(0.197349\pi\)
\(230\) 63.2388 68.1903i 0.274951 0.296479i
\(231\) −41.0235 221.772i −0.177591 0.960052i
\(232\) 43.7377 43.7377i 0.188525 0.188525i
\(233\) 7.91167 + 29.5268i 0.0339557 + 0.126724i 0.980823 0.194899i \(-0.0624381\pi\)
−0.946868 + 0.321624i \(0.895771\pi\)
\(234\) −55.9840 + 19.0426i −0.239248 + 0.0813786i
\(235\) 295.121 185.542i 1.25583 0.789542i
\(236\) −9.48720 + 16.4323i −0.0402000 + 0.0696284i
\(237\) −73.7403 + 60.5552i −0.311140 + 0.255507i
\(238\) 164.202 3.11680i 0.689924 0.0130958i
\(239\) −213.748 −0.894343 −0.447171 0.894448i \(-0.647569\pi\)
−0.447171 + 0.894448i \(0.647569\pi\)
\(240\) −33.0723 + 50.0622i −0.137801 + 0.208592i
\(241\) 63.6195 36.7307i 0.263981 0.152410i −0.362168 0.932113i \(-0.617963\pi\)
0.626149 + 0.779703i \(0.284630\pi\)
\(242\) 2.07103 7.72917i 0.00855796 0.0319387i
\(243\) 236.737 + 54.8139i 0.974227 + 0.225572i
\(244\) 233.240 0.955901
\(245\) −81.1068 231.185i −0.331048 0.943614i
\(246\) −17.3263 + 176.475i −0.0704320 + 0.717380i
\(247\) −2.51577 9.38897i −0.0101853 0.0380120i
\(248\) −34.1412 + 127.417i −0.137666 + 0.513776i
\(249\) 143.287 64.9757i 0.575448 0.260946i
\(250\) −162.081 70.5669i −0.648325 0.282268i
\(251\) −235.026 −0.936358 −0.468179 0.883634i \(-0.655090\pi\)
−0.468179 + 0.883634i \(0.655090\pi\)
\(252\) −124.037 22.1550i −0.492210 0.0879168i
\(253\) −99.8798 99.8798i −0.394782 0.394782i
\(254\) 60.5483 104.873i 0.238379 0.412885i
\(255\) 236.058 + 78.7537i 0.925717 + 0.308838i
\(256\) −8.00000 13.8564i −0.0312500 0.0541266i
\(257\) 98.9522 + 369.295i 0.385028 + 1.43694i 0.838123 + 0.545482i \(0.183653\pi\)
−0.453095 + 0.891462i \(0.649680\pi\)
\(258\) 150.566 123.644i 0.583589 0.479241i
\(259\) −81.8731 283.890i −0.316113 1.09610i
\(260\) 46.4271 1.74911i 0.178566 0.00672733i
\(261\) 148.057 + 129.681i 0.567268 + 0.496861i
\(262\) −62.6007 + 233.629i −0.238934 + 0.891714i
\(263\) 294.961 + 79.0345i 1.12152 + 0.300511i 0.771500 0.636230i \(-0.219507\pi\)
0.350024 + 0.936741i \(0.386174\pi\)
\(264\) 74.0908 + 53.0581i 0.280647 + 0.200978i
\(265\) 6.08461 + 161.506i 0.0229608 + 0.609456i
\(266\) 4.97985 20.1037i 0.0187212 0.0755779i
\(267\) 364.512 299.336i 1.36521 1.12111i
\(268\) −4.51218 + 1.20904i −0.0168365 + 0.00451133i
\(269\) 153.231 88.4680i 0.569632 0.328877i −0.187370 0.982289i \(-0.559996\pi\)
0.757002 + 0.653412i \(0.226663\pi\)
\(270\) −165.897 94.4892i −0.614433 0.349960i
\(271\) −334.108 192.897i −1.23287 0.711798i −0.265243 0.964182i \(-0.585452\pi\)
−0.967627 + 0.252383i \(0.918786\pi\)
\(272\) −46.9233 + 46.9233i −0.172512 + 0.172512i
\(273\) 41.9728 + 88.0763i 0.153746 + 0.322624i
\(274\) 53.1967i 0.194149i
\(275\) −116.371 + 241.964i −0.423166 + 0.879869i
\(276\) −71.8693 + 32.5903i −0.260396 + 0.118081i
\(277\) −446.379 119.607i −1.61148 0.431794i −0.662994 0.748625i \(-0.730714\pi\)
−0.948482 + 0.316831i \(0.897381\pi\)
\(278\) −229.440 + 61.4783i −0.825325 + 0.221145i
\(279\) −411.725 81.6327i −1.47572 0.292590i
\(280\) 88.3965 + 44.5652i 0.315702 + 0.159161i
\(281\) 100.962i 0.359295i 0.983731 + 0.179647i \(0.0574957\pi\)
−0.983731 + 0.179647i \(0.942504\pi\)
\(282\) −291.832 + 48.2742i −1.03486 + 0.171185i
\(283\) 371.789 + 99.6207i 1.31374 + 0.352016i 0.846630 0.532181i \(-0.178628\pi\)
0.467113 + 0.884198i \(0.345294\pi\)
\(284\) 82.6653 + 143.180i 0.291075 + 0.504157i
\(285\) 17.2981 26.1845i 0.0606952 0.0918754i
\(286\) 70.5648i 0.246730i
\(287\) 292.517 5.55241i 1.01922 0.0193464i
\(288\) 42.3140 28.3112i 0.146924 0.0983027i
\(289\) −11.9300 6.88780i −0.0412804 0.0238332i
\(290\) −82.3050 130.913i −0.283810 0.451424i
\(291\) −161.843 + 73.3903i −0.556161 + 0.252200i
\(292\) 178.128 47.7292i 0.610027 0.163456i
\(293\) −259.252 259.252i −0.884820 0.884820i 0.109200 0.994020i \(-0.465171\pi\)
−0.994020 + 0.109200i \(0.965171\pi\)
\(294\) −12.4467 + 207.516i −0.0423356 + 0.705838i
\(295\) 34.7813 + 32.2557i 0.117903 + 0.109341i
\(296\) 103.390 + 59.6920i 0.349289 + 0.201662i
\(297\) −152.897 + 246.387i −0.514805 + 0.829587i
\(298\) −100.917 + 376.629i −0.338649 + 1.26386i
\(299\) 52.9188 + 30.5527i 0.176986 + 0.102183i
\(300\) 103.647 + 108.431i 0.345490 + 0.361436i
\(301\) −231.572 222.945i −0.769343 0.740681i
\(302\) 121.022 + 121.022i 0.400735 + 0.400735i
\(303\) −550.446 + 91.0537i −1.81665 + 0.300507i
\(304\) 4.18431 + 7.24745i 0.0137642 + 0.0238403i
\(305\) 129.606 568.513i 0.424938 1.86398i
\(306\) −158.841 139.126i −0.519087 0.454660i
\(307\) 150.022 + 150.022i 0.488672 + 0.488672i 0.907887 0.419215i \(-0.137695\pi\)
−0.419215 + 0.907887i \(0.637695\pi\)
\(308\) 72.6934 131.616i 0.236018 0.427323i
\(309\) −226.347 22.2227i −0.732516 0.0719180i
\(310\) 291.602 + 154.020i 0.940650 + 0.496840i
\(311\) −29.8412 51.6864i −0.0959523 0.166194i 0.814053 0.580790i \(-0.197256\pi\)
−0.910006 + 0.414596i \(0.863923\pi\)
\(312\) −36.9002 13.8752i −0.118270 0.0444719i
\(313\) 32.8475 + 122.588i 0.104944 + 0.391656i 0.998339 0.0576160i \(-0.0183499\pi\)
−0.893395 + 0.449272i \(0.851683\pi\)
\(314\) 127.559i 0.406238i
\(315\) −122.927 + 290.024i −0.390243 + 0.920712i
\(316\) −63.6119 −0.201303
\(317\) −270.266 + 72.4174i −0.852573 + 0.228446i −0.658537 0.752548i \(-0.728824\pi\)
−0.194036 + 0.980994i \(0.562158\pi\)
\(318\) 48.2677 128.365i 0.151785 0.403662i
\(319\) −203.400 + 117.433i −0.637616 + 0.368128i
\(320\) −38.2199 + 11.8000i −0.119437 + 0.0368750i
\(321\) 38.7883 395.076i 0.120836 1.23077i
\(322\) 67.2284 + 111.501i 0.208784 + 0.346277i
\(323\) 24.5427 24.5427i 0.0759837 0.0759837i
\(324\) 98.7781 + 128.401i 0.304871 + 0.396300i
\(325\) 21.5351 114.136i 0.0662619 0.351189i
\(326\) 76.4030 44.1113i 0.234365 0.135311i
\(327\) −79.1881 478.715i −0.242166 1.46396i
\(328\) −83.5913 + 83.5913i −0.254852 + 0.254852i
\(329\) 135.238 + 468.929i 0.411058 + 1.42532i
\(330\) 170.498 151.110i 0.516660 0.457910i
\(331\) 74.7861 129.533i 0.225940 0.391339i −0.730661 0.682740i \(-0.760788\pi\)
0.956601 + 0.291401i \(0.0941214\pi\)
\(332\) 101.313 + 27.1467i 0.305160 + 0.0817673i
\(333\) −167.805 + 340.805i −0.503919 + 1.02344i
\(334\) 5.23730 9.07126i 0.0156805 0.0271595i
\(335\) 0.439662 + 11.6701i 0.00131242 + 0.0348362i
\(336\) −54.5315 63.8930i −0.162296 0.190158i
\(337\) 217.610 217.610i 0.645728 0.645728i −0.306230 0.951958i \(-0.599068\pi\)
0.951958 + 0.306230i \(0.0990676\pi\)
\(338\) −53.9575 201.372i −0.159638 0.595776i
\(339\) 26.7529 + 58.9963i 0.0789170 + 0.174031i
\(340\) 88.2996 + 140.448i 0.259705 + 0.413082i
\(341\) 250.438 433.772i 0.734423 1.27206i
\(342\) −22.1319 + 14.8079i −0.0647132 + 0.0432978i
\(343\) 342.444 19.5191i 0.998379 0.0569069i
\(344\) 129.885 0.377574
\(345\) 39.5015 + 193.288i 0.114497 + 0.560256i
\(346\) 149.280 86.1868i 0.431445 0.249095i
\(347\) −18.6415 + 69.5709i −0.0537218 + 0.200492i −0.987571 0.157175i \(-0.949761\pi\)
0.933849 + 0.357668i \(0.116428\pi\)
\(348\) 21.4140 + 129.454i 0.0615345 + 0.371994i
\(349\) −257.887 −0.738932 −0.369466 0.929244i \(-0.620459\pi\)
−0.369466 + 0.929244i \(0.620459\pi\)
\(350\) 157.746 190.699i 0.450703 0.544855i
\(351\) 36.3027 120.074i 0.103426 0.342092i
\(352\) 15.7241 + 58.6830i 0.0446706 + 0.166713i
\(353\) 33.7279 125.874i 0.0955466 0.356585i −0.901555 0.432664i \(-0.857574\pi\)
0.997102 + 0.0760795i \(0.0242403\pi\)
\(354\) −16.6231 36.6578i −0.0469579 0.103553i
\(355\) 394.932 121.931i 1.11249 0.343469i
\(356\) 314.445 0.883274
\(357\) −197.429 + 287.047i −0.553021 + 0.804053i
\(358\) −64.0933 64.0933i −0.179032 0.179032i
\(359\) −315.396 + 546.282i −0.878540 + 1.52168i −0.0255973 + 0.999672i \(0.508149\pi\)
−0.852943 + 0.522004i \(0.825185\pi\)
\(360\) −45.4945 118.871i −0.126374 0.330197i
\(361\) 178.311 + 308.844i 0.493938 + 0.855525i
\(362\) −111.861 417.472i −0.309009 1.15324i
\(363\) 10.7725 + 13.1181i 0.0296764 + 0.0361380i
\(364\) −15.6393 + 63.1359i −0.0429650 + 0.173450i
\(365\) −17.3566 460.702i −0.0475523 1.26220i
\(366\) −288.072 + 402.266i −0.787082 + 1.09909i
\(367\) 41.5321 155.000i 0.113167 0.422343i −0.885977 0.463730i \(-0.846511\pi\)
0.999143 + 0.0413865i \(0.0131775\pi\)
\(368\) −50.8163 13.6162i −0.138088 0.0370005i
\(369\) −282.966 247.845i −0.766845 0.671668i
\(370\) 202.948 218.839i 0.548508 0.591456i
\(371\) −219.631 54.4042i −0.591997 0.146642i
\(372\) −177.587 216.254i −0.477383 0.581327i
\(373\) −3.96685 + 1.06291i −0.0106350 + 0.00284963i −0.264133 0.964486i \(-0.585086\pi\)
0.253498 + 0.967336i \(0.418419\pi\)
\(374\) 218.214 125.986i 0.583460 0.336861i
\(375\) 321.891 192.383i 0.858375 0.513022i
\(376\) −170.779 98.5991i −0.454199 0.262232i
\(377\) 71.8441 71.8441i 0.190568 0.190568i
\(378\) 191.407 186.562i 0.506368 0.493550i
\(379\) 282.119i 0.744377i 0.928157 + 0.372189i \(0.121393\pi\)
−0.928157 + 0.372189i \(0.878607\pi\)
\(380\) 19.9905 6.17187i 0.0526066 0.0162418i
\(381\) 106.090 + 233.954i 0.278453 + 0.614053i
\(382\) −143.766 38.5220i −0.376351 0.100843i
\(383\) −525.594 + 140.832i −1.37231 + 0.367709i −0.868321 0.496003i \(-0.834800\pi\)
−0.503986 + 0.863712i \(0.668134\pi\)
\(384\) 33.7787 + 3.31638i 0.0879654 + 0.00863640i
\(385\) −280.414 250.323i −0.728348 0.650190i
\(386\) 165.711i 0.429303i
\(387\) 27.2855 + 412.391i 0.0705051 + 1.06561i
\(388\) −114.433 30.6624i −0.294932 0.0790267i
\(389\) 22.1584 + 38.3795i 0.0569626 + 0.0986621i 0.893101 0.449857i \(-0.148525\pi\)
−0.836138 + 0.548519i \(0.815192\pi\)
\(390\) −54.3250 + 82.2327i −0.139295 + 0.210853i
\(391\) 218.194i 0.558041i
\(392\) −94.2104 + 101.648i −0.240333 + 0.259307i
\(393\) −325.620 396.519i −0.828550 1.00896i
\(394\) −393.617 227.255i −0.999028 0.576789i
\(395\) −35.3477 + 155.052i −0.0894878 + 0.392536i
\(396\) −183.018 + 62.2522i −0.462166 + 0.157203i
\(397\) 273.314 73.2343i 0.688448 0.184469i 0.102398 0.994744i \(-0.467349\pi\)
0.586051 + 0.810274i \(0.300682\pi\)
\(398\) 107.503 + 107.503i 0.270107 + 0.270107i
\(399\) 28.5221 + 33.4186i 0.0714840 + 0.0837558i
\(400\) 7.52416 + 99.7165i 0.0188104 + 0.249291i
\(401\) −359.724 207.687i −0.897067 0.517922i −0.0208196 0.999783i \(-0.506628\pi\)
−0.876247 + 0.481861i \(0.839961\pi\)
\(402\) 3.48774 9.27538i 0.00867596 0.0230731i
\(403\) −56.0806 + 209.296i −0.139158 + 0.519344i
\(404\) −322.119 185.975i −0.797323 0.460335i
\(405\) 367.862 169.418i 0.908301 0.418317i
\(406\) 208.013 59.9904i 0.512347 0.147760i
\(407\) −320.538 320.538i −0.787562 0.787562i
\(408\) −22.9737 138.883i −0.0563080 0.340398i
\(409\) 257.340 + 445.725i 0.629192 + 1.08979i 0.987714 + 0.156272i \(0.0499475\pi\)
−0.358522 + 0.933521i \(0.616719\pi\)
\(410\) 157.301 + 250.200i 0.383661 + 0.610245i
\(411\) −91.7478 65.7027i −0.223231 0.159860i
\(412\) −107.214 107.214i −0.260229 0.260229i
\(413\) −56.8725 + 34.2907i −0.137706 + 0.0830283i
\(414\) 32.5568 164.204i 0.0786395 0.396628i
\(415\) 122.467 231.862i 0.295100 0.558703i
\(416\) −13.1409 22.7607i −0.0315887 0.0547132i
\(417\) 177.348 471.645i 0.425295 1.13104i
\(418\) −8.22430 30.6935i −0.0196754 0.0734295i
\(419\) 18.1550i 0.0433294i −0.999765 0.0216647i \(-0.993103\pi\)
0.999765 0.0216647i \(-0.00689662\pi\)
\(420\) −186.039 + 97.4145i −0.442949 + 0.231939i
\(421\) −744.462 −1.76832 −0.884160 0.467185i \(-0.845268\pi\)
−0.884160 + 0.467185i \(0.845268\pi\)
\(422\) 406.441 108.906i 0.963131 0.258070i
\(423\) 277.180 562.942i 0.655272 1.33083i
\(424\) 79.1775 45.7132i 0.186739 0.107814i
\(425\) 391.403 137.183i 0.920947 0.322784i
\(426\) −349.041 34.2686i −0.819345 0.0804428i
\(427\) 714.589 + 394.679i 1.67351 + 0.924307i
\(428\) 187.136 187.136i 0.437234 0.437234i
\(429\) 121.702 + 87.1538i 0.283689 + 0.203156i
\(430\) 72.1744 316.591i 0.167847 0.736258i
\(431\) −250.590 + 144.678i −0.581416 + 0.335681i −0.761696 0.647935i \(-0.775633\pi\)
0.180280 + 0.983615i \(0.442300\pi\)
\(432\) −3.43362 + 107.945i −0.00794819 + 0.249874i
\(433\) 71.7806 71.7806i 0.165775 0.165775i −0.619344 0.785119i \(-0.712602\pi\)
0.785119 + 0.619344i \(0.212602\pi\)
\(434\) −320.209 + 332.601i −0.737810 + 0.766361i
\(435\) 327.438 + 19.7387i 0.752732 + 0.0453764i
\(436\) 161.740 280.142i 0.370964 0.642528i
\(437\) 26.5789 + 7.12180i 0.0608213 + 0.0162970i
\(438\) −137.686 + 366.165i −0.314351 + 0.835993i
\(439\) −387.852 + 671.779i −0.883489 + 1.53025i −0.0360543 + 0.999350i \(0.511479\pi\)
−0.847435 + 0.530899i \(0.821854\pi\)
\(440\) 151.775 5.71801i 0.344943 0.0129955i
\(441\) −342.529 277.768i −0.776709 0.629859i
\(442\) −77.0767 + 77.0767i −0.174382 + 0.174382i
\(443\) 95.9678 + 358.157i 0.216632 + 0.808480i 0.985586 + 0.169176i \(0.0541108\pi\)
−0.768954 + 0.639304i \(0.779223\pi\)
\(444\) −230.645 + 104.590i −0.519472 + 0.235563i
\(445\) 174.730 766.449i 0.392652 1.72236i
\(446\) 194.026 336.064i 0.435037 0.753506i
\(447\) −524.927 639.222i −1.17433 1.43003i
\(448\) −1.06277 55.9899i −0.00237226 0.124977i
\(449\) 777.510 1.73165 0.865825 0.500348i \(-0.166794\pi\)
0.865825 + 0.500348i \(0.166794\pi\)
\(450\) −315.023 + 44.8373i −0.700052 + 0.0996384i
\(451\) 388.736 224.437i 0.861943 0.497643i
\(452\) −11.1773 + 41.7143i −0.0247286 + 0.0922883i
\(453\) −358.198 + 59.2524i −0.790724 + 0.130800i
\(454\) −94.2856 −0.207678
\(455\) 145.201 + 73.2033i 0.319123 + 0.160886i
\(456\) −17.6676 1.73460i −0.0387447 0.00380394i
\(457\) −195.875 731.014i −0.428609 1.59959i −0.755912 0.654673i \(-0.772806\pi\)
0.327303 0.944919i \(-0.393860\pi\)
\(458\) 16.1339 60.2126i 0.0352269 0.131468i
\(459\) 436.131 102.118i 0.950177 0.222479i
\(460\) −61.4264 + 116.297i −0.133536 + 0.252819i
\(461\) 199.974 0.433783 0.216892 0.976196i \(-0.430408\pi\)
0.216892 + 0.976196i \(0.430408\pi\)
\(462\) 137.213 + 287.931i 0.296998 + 0.623226i
\(463\) 508.040 + 508.040i 1.09728 + 1.09728i 0.994728 + 0.102550i \(0.0327002\pi\)
0.102550 + 0.994728i \(0.467300\pi\)
\(464\) −43.7377 + 75.7559i −0.0942623 + 0.163267i
\(465\) −625.791 + 312.694i −1.34579 + 0.672459i
\(466\) −21.6151 37.4384i −0.0463843 0.0803400i
\(467\) −67.3165 251.229i −0.144147 0.537963i −0.999792 0.0204000i \(-0.993506\pi\)
0.855645 0.517563i \(-0.173161\pi\)
\(468\) 69.5055 46.5042i 0.148516 0.0993680i
\(469\) −15.8701 3.93115i −0.0338382 0.00838198i
\(470\) −335.229 + 361.477i −0.713254 + 0.769101i
\(471\) 219.999 + 157.547i 0.467090 + 0.334494i
\(472\) 6.94511 25.9195i 0.0147142 0.0549142i
\(473\) −476.379 127.645i −1.00714 0.269863i
\(474\) 78.5663 109.711i 0.165752 0.231457i
\(475\) −3.93543 52.1557i −0.00828512 0.109801i
\(476\) −223.163 + 64.3597i −0.468830 + 0.135209i
\(477\) 161.774 + 241.789i 0.339149 + 0.506894i
\(478\) 291.985 78.2372i 0.610847 0.163676i
\(479\) 559.185 322.846i 1.16740 0.674000i 0.214335 0.976760i \(-0.431242\pi\)
0.953067 + 0.302761i \(0.0979082\pi\)
\(480\) 26.8536 80.4915i 0.0559450 0.167691i
\(481\) 169.829 + 98.0507i 0.353074 + 0.203848i
\(482\) −73.4615 + 73.4615i −0.152410 + 0.152410i
\(483\) −275.338 21.7656i −0.570058 0.0450634i
\(484\) 11.3163i 0.0233808i
\(485\) −138.326 + 261.889i −0.285209 + 0.539977i
\(486\) −343.452 + 11.7746i −0.706692 + 0.0242275i
\(487\) −523.382 140.240i −1.07471 0.287967i −0.322281 0.946644i \(-0.604450\pi\)
−0.752426 + 0.658677i \(0.771116\pi\)
\(488\) −318.611 + 85.3717i −0.652892 + 0.174942i
\(489\) −18.2862 + 186.253i −0.0373951 + 0.380885i
\(490\) 195.414 + 286.118i 0.398803 + 0.583914i
\(491\) 663.596i 1.35152i 0.737122 + 0.675760i \(0.236184\pi\)
−0.737122 + 0.675760i \(0.763816\pi\)
\(492\) −40.9264 247.412i −0.0831837 0.502870i
\(493\) 350.440 + 93.9000i 0.710831 + 0.190467i
\(494\) 6.87320 + 11.9047i 0.0139134 + 0.0240987i
\(495\) 50.0388 + 480.691i 0.101088 + 0.971092i
\(496\) 186.551i 0.376110i
\(497\) 10.9818 + 578.553i 0.0220962 + 1.16409i
\(498\) −171.950 + 141.205i −0.345282 + 0.283544i
\(499\) 632.196 + 364.999i 1.26693 + 0.731460i 0.974405 0.224799i \(-0.0721725\pi\)
0.292521 + 0.956259i \(0.405506\pi\)
\(500\) 247.236 + 37.0703i 0.494473 + 0.0741407i
\(501\) 9.17659 + 20.2365i 0.0183165 + 0.0403923i
\(502\) 321.051 86.0255i 0.639545 0.171365i
\(503\) 151.136 + 151.136i 0.300470 + 0.300470i 0.841198 0.540728i \(-0.181851\pi\)
−0.540728 + 0.841198i \(0.681851\pi\)
\(504\) 177.547 15.1363i 0.352276 0.0300324i
\(505\) −632.302 + 681.810i −1.25208 + 1.35012i
\(506\) 172.997 + 99.8798i 0.341891 + 0.197391i
\(507\) 413.947 + 155.653i 0.816463 + 0.307007i
\(508\) −44.3244 + 165.421i −0.0872528 + 0.325632i
\(509\) −315.266 182.019i −0.619383 0.357601i 0.157246 0.987560i \(-0.449739\pi\)
−0.776629 + 0.629959i \(0.783072\pi\)
\(510\) −351.287 21.1764i −0.688798 0.0415223i
\(511\) 626.506 + 155.190i 1.22604 + 0.303699i
\(512\) 16.0000 + 16.0000i 0.0312500 + 0.0312500i
\(513\) 1.79592 56.4597i 0.00350081 0.110058i
\(514\) −270.342 468.247i −0.525958 0.910986i
\(515\) −320.907 + 201.754i −0.623120 + 0.391756i
\(516\) −160.420 + 224.012i −0.310892 + 0.434132i
\(517\) 529.464 + 529.464i 1.02411 + 1.02411i
\(518\) 215.752 + 357.833i 0.416509 + 0.690798i
\(519\) −35.7285 + 363.910i −0.0688410 + 0.701175i
\(520\) −62.7804 + 19.3828i −0.120732 + 0.0372747i
\(521\) 98.0617 + 169.848i 0.188218 + 0.326003i 0.944656 0.328062i \(-0.106395\pi\)
−0.756438 + 0.654065i \(0.773062\pi\)
\(522\) −249.716 122.955i −0.478383 0.235545i
\(523\) −182.310 680.391i −0.348586 1.30094i −0.888367 0.459134i \(-0.848160\pi\)
0.539781 0.841805i \(-0.318507\pi\)
\(524\) 342.057i 0.652780i
\(525\) 134.067 + 507.593i 0.255365 + 0.966845i
\(526\) −431.852 −0.821012
\(527\) −747.350 + 200.252i −1.41812 + 0.379985i
\(528\) −120.631 45.3596i −0.228467 0.0859083i
\(529\) 308.321 178.009i 0.582838 0.336502i
\(530\) −67.4270 218.394i −0.127221 0.412064i
\(531\) 83.7544 + 16.6060i 0.157730 + 0.0312731i
\(532\) 0.555872 + 29.2849i 0.00104487 + 0.0550469i
\(533\) −137.308 + 137.308i −0.257614 + 0.257614i
\(534\) −388.368 + 542.321i −0.727281 + 1.01558i
\(535\) −352.150 560.124i −0.658224 1.04696i
\(536\) 5.72122 3.30315i 0.0106739 0.00616259i
\(537\) 189.702 31.3802i 0.353263 0.0584360i
\(538\) −176.936 + 176.936i −0.328877 + 0.328877i
\(539\) 445.430 280.229i 0.826400 0.519905i
\(540\) 261.205 + 68.3521i 0.483713 + 0.126578i
\(541\) −36.0002 + 62.3542i −0.0665438 + 0.115257i −0.897378 0.441263i \(-0.854531\pi\)
0.830834 + 0.556520i \(0.187864\pi\)
\(542\) 527.005 + 141.211i 0.972334 + 0.260536i
\(543\) 858.168 + 322.689i 1.58042 + 0.594271i
\(544\) 46.9233 81.2735i 0.0862560 0.149400i
\(545\) −592.961 549.904i −1.08800 1.00900i
\(546\) −89.5740 104.951i −0.164055 0.192219i
\(547\) 369.252 369.252i 0.675049 0.675049i −0.283827 0.958876i \(-0.591604\pi\)
0.958876 + 0.283827i \(0.0916040\pi\)
\(548\) −19.4713 72.6680i −0.0355316 0.132606i
\(549\) −337.990 993.669i −0.615647 1.80996i
\(550\) 70.4005 373.123i 0.128001 0.678406i
\(551\) 22.8765 39.6233i 0.0415182 0.0719117i
\(552\) 86.2464 70.8252i 0.156243 0.128306i
\(553\) −194.891 107.641i −0.352425 0.194650i
\(554\) 653.544 1.17968
\(555\) 126.770 + 620.308i 0.228414 + 1.11767i
\(556\) 290.919 167.962i 0.523235 0.302090i
\(557\) −60.6241 + 226.252i −0.108840 + 0.406198i −0.998753 0.0499341i \(-0.984099\pi\)
0.889912 + 0.456132i \(0.150766\pi\)
\(558\) 592.306 39.1893i 1.06148 0.0702318i
\(559\) 213.351 0.381666
\(560\) −137.064 28.5218i −0.244757 0.0509319i
\(561\) −52.2271 + 531.955i −0.0930964 + 0.948227i
\(562\) −36.9546 137.916i −0.0657555 0.245403i
\(563\) −13.3709 + 49.9008i −0.0237494 + 0.0886338i −0.976783 0.214230i \(-0.931276\pi\)
0.953034 + 0.302863i \(0.0979426\pi\)
\(564\) 380.980 172.762i 0.675496 0.306315i
\(565\) 95.4661 + 50.4240i 0.168966 + 0.0892460i
\(566\) −544.337 −0.961727
\(567\) 85.3563 + 560.538i 0.150540 + 0.988604i
\(568\) −165.331 165.331i −0.291075 0.291075i
\(569\) 79.3283 137.401i 0.139417 0.241477i −0.787859 0.615856i \(-0.788811\pi\)
0.927276 + 0.374378i \(0.122144\pi\)
\(570\) −14.0455 + 42.1002i −0.0246412 + 0.0738600i
\(571\) 396.116 + 686.092i 0.693723 + 1.20156i 0.970609 + 0.240660i \(0.0773640\pi\)
−0.276887 + 0.960903i \(0.589303\pi\)
\(572\) 25.8285 + 96.3933i 0.0451547 + 0.168520i
\(573\) 244.002 200.374i 0.425833 0.349692i
\(574\) −397.553 + 114.653i −0.692601 + 0.199745i
\(575\) 249.335 + 214.348i 0.433627 + 0.372779i
\(576\) −47.4394 + 54.1618i −0.0823601 + 0.0940309i
\(577\) −218.523 + 815.540i −0.378723 + 1.41341i 0.469105 + 0.883142i \(0.344577\pi\)
−0.847828 + 0.530271i \(0.822090\pi\)
\(578\) 18.8178 + 5.04222i 0.0325568 + 0.00872357i
\(579\) −285.800 204.668i −0.493610 0.353485i
\(580\) 160.348 + 148.705i 0.276462 + 0.256388i
\(581\) 264.462 + 254.609i 0.455184 + 0.438225i
\(582\) 194.219 159.492i 0.333709 0.274040i
\(583\) −335.323 + 89.8495i −0.575168 + 0.154116i
\(584\) −225.857 + 130.399i −0.386742 + 0.223285i
\(585\) −74.7297 195.258i −0.127743 0.333775i
\(586\) 449.038 + 259.252i 0.766276 + 0.442410i
\(587\) 395.180 395.180i 0.673220 0.673220i −0.285237 0.958457i \(-0.592072\pi\)
0.958457 + 0.285237i \(0.0920724\pi\)
\(588\) −58.9538 288.029i −0.100262 0.489844i
\(589\) 97.5734i 0.165659i
\(590\) −59.3186 31.3313i −0.100540 0.0531039i
\(591\) 878.096 398.187i 1.48578 0.673751i
\(592\) −163.081 43.6976i −0.275475 0.0738134i
\(593\) −116.227 + 31.1428i −0.195998 + 0.0525174i −0.355482 0.934683i \(-0.615683\pi\)
0.159485 + 0.987200i \(0.449017\pi\)
\(594\) 118.677 392.536i 0.199793 0.660834i
\(595\) 32.8677 + 579.715i 0.0552398 + 0.974311i
\(596\) 551.423i 0.925207i
\(597\) −318.184 + 52.6334i −0.532972 + 0.0881631i
\(598\) −83.4714 22.3661i −0.139584 0.0374015i
\(599\) −598.910 1037.34i −0.999850 1.73179i −0.514930 0.857232i \(-0.672182\pi\)
−0.484920 0.874558i \(-0.661151\pi\)
\(600\) −181.273 110.182i −0.302122 0.183637i
\(601\) 170.669i 0.283975i 0.989868 + 0.141988i \(0.0453493\pi\)
−0.989868 + 0.141988i \(0.954651\pi\)
\(602\) 397.937 + 219.787i 0.661025 + 0.365095i
\(603\) 11.6895 + 17.4712i 0.0193856 + 0.0289738i
\(604\) −209.616 121.022i −0.347047 0.200367i
\(605\) 27.5830 + 6.28821i 0.0455918 + 0.0103937i
\(606\) 718.595 325.859i 1.18580 0.537721i
\(607\) −375.584 + 100.638i −0.618755 + 0.165795i −0.554562 0.832143i \(-0.687114\pi\)
−0.0641933 + 0.997937i \(0.520447\pi\)
\(608\) −8.36863 8.36863i −0.0137642 0.0137642i
\(609\) −153.450 + 432.851i −0.251970 + 0.710757i
\(610\) 31.0452 + 824.042i 0.0508937 + 1.35089i
\(611\) −280.523 161.960i −0.459121 0.265074i
\(612\) 267.904 + 131.910i 0.437751 + 0.215539i
\(613\) 71.3663 266.343i 0.116421 0.434490i −0.882968 0.469433i \(-0.844458\pi\)
0.999389 + 0.0349428i \(0.0111249\pi\)
\(614\) −259.846 150.022i −0.423202 0.244336i
\(615\) −625.799 37.7246i −1.01756 0.0613408i
\(616\) −51.1264 + 206.398i −0.0829974 + 0.335062i
\(617\) −140.458 140.458i −0.227647 0.227647i 0.584062 0.811709i \(-0.301462\pi\)
−0.811709 + 0.584062i \(0.801462\pi\)
\(618\) 317.330 52.4922i 0.513479 0.0849388i
\(619\) −514.196 890.614i −0.830688 1.43879i −0.897493 0.441028i \(-0.854614\pi\)
0.0668049 0.997766i \(-0.478719\pi\)
\(620\) −454.710 103.662i −0.733404 0.167197i
\(621\) 242.991 + 258.957i 0.391289 + 0.417000i
\(622\) 59.6823 + 59.6823i 0.0959523 + 0.0959523i
\(623\) 963.384 + 532.092i 1.54636 + 0.854081i
\(624\) 55.4853 + 5.44752i 0.0889187 + 0.00872999i
\(625\) 227.741 582.030i 0.364386 0.931248i
\(626\) −89.7410 155.436i −0.143356 0.248300i
\(627\) 63.0945 + 23.7248i 0.100629 + 0.0378387i
\(628\) 46.6898 + 174.249i 0.0743468 + 0.277466i
\(629\) 700.236i 1.11325i
\(630\) 61.7645 441.175i 0.0980389 0.700277i
\(631\) −328.983 −0.521367 −0.260684 0.965424i \(-0.583948\pi\)
−0.260684 + 0.965424i \(0.583948\pi\)
\(632\) 86.8954 23.2836i 0.137493 0.0368411i
\(633\) −314.163 + 835.493i −0.496307 + 1.31989i
\(634\) 342.683 197.848i 0.540509 0.312063i
\(635\) 378.578 + 199.960i 0.596185 + 0.314897i
\(636\) −18.9503 + 193.016i −0.0297960 + 0.303485i
\(637\) −154.751 + 166.969i −0.242937 + 0.262117i
\(638\) 234.866 234.866i 0.368128 0.368128i
\(639\) 490.199 559.662i 0.767135 0.875841i
\(640\) 47.8902 30.1086i 0.0748285 0.0470446i
\(641\) −199.327 + 115.081i −0.310962 + 0.179534i −0.647357 0.762187i \(-0.724126\pi\)
0.336395 + 0.941721i \(0.390792\pi\)
\(642\) 91.6219 + 553.881i 0.142713 + 0.862743i
\(643\) 301.400 301.400i 0.468740 0.468740i −0.432766 0.901506i \(-0.642462\pi\)
0.901506 + 0.432766i \(0.142462\pi\)
\(644\) −132.648 127.706i −0.205975 0.198301i
\(645\) 456.879 + 515.496i 0.708340 + 0.799219i
\(646\) −24.5427 + 42.5092i −0.0379918 + 0.0658038i
\(647\) −623.121 166.965i −0.963092 0.258060i −0.257184 0.966363i \(-0.582794\pi\)
−0.705909 + 0.708303i \(0.749461\pi\)
\(648\) −181.932 139.244i −0.280759 0.214883i
\(649\) −50.9450 + 88.2393i −0.0784977 + 0.135962i
\(650\) 12.3593 + 163.795i 0.0190143 + 0.251993i
\(651\) −178.146 963.053i −0.273650 1.47934i
\(652\) −88.2225 + 88.2225i −0.135311 + 0.135311i
\(653\) 187.337 + 699.151i 0.286886 + 1.07067i 0.947450 + 0.319905i \(0.103651\pi\)
−0.660563 + 0.750770i \(0.729682\pi\)
\(654\) 283.395 + 624.952i 0.433326 + 0.955584i
\(655\) −833.750 190.073i −1.27290 0.290188i
\(656\) 83.5913 144.784i 0.127426 0.220708i
\(657\) −461.467 689.712i −0.702385 1.04979i
\(658\) −356.378 591.068i −0.541609 0.898280i
\(659\) −1009.35 −1.53165 −0.765823 0.643052i \(-0.777668\pi\)
−0.765823 + 0.643052i \(0.777668\pi\)
\(660\) −177.594 + 268.827i −0.269082 + 0.407314i
\(661\) −305.298 + 176.264i −0.461873 + 0.266663i −0.712832 0.701335i \(-0.752588\pi\)
0.250958 + 0.967998i \(0.419254\pi\)
\(662\) −54.7472 + 204.319i −0.0826997 + 0.308640i
\(663\) −37.7368 228.130i −0.0569183 0.344088i
\(664\) −148.333 −0.223392
\(665\) 71.6898 + 14.9180i 0.107804 + 0.0224332i
\(666\) 104.482 526.970i 0.156880 0.791246i
\(667\) 74.4426 + 277.824i 0.111608 + 0.416527i
\(668\) −3.83397 + 14.3086i −0.00573947 + 0.0214200i
\(669\) 339.966 + 749.704i 0.508170 + 1.12063i
\(670\) −4.87215 15.7807i −0.00727186 0.0235533i
\(671\) 1252.47 1.86657
\(672\) 97.8779 + 67.3196i 0.145652 + 0.100178i
\(673\) −328.459 328.459i −0.488052 0.488052i 0.419639 0.907691i \(-0.362157\pi\)
−0.907691 + 0.419639i \(0.862157\pi\)
\(674\) −217.610 + 376.912i −0.322864 + 0.559217i
\(675\) 311.751 598.695i 0.461854 0.886956i
\(676\) 147.415 + 255.330i 0.218069 + 0.377707i
\(677\) 97.5907 + 364.214i 0.144152 + 0.537982i 0.999792 + 0.0204101i \(0.00649720\pi\)
−0.855640 + 0.517572i \(0.826836\pi\)
\(678\) −58.1393 70.7983i −0.0857511 0.104422i
\(679\) −298.711 287.582i −0.439927 0.423537i
\(680\) −172.027 159.536i −0.252981 0.234611i
\(681\) 116.451 162.613i 0.171000 0.238786i
\(682\) −183.333 + 684.210i −0.268817 + 1.00324i
\(683\) 197.306 + 52.8679i 0.288881 + 0.0774054i 0.400349 0.916363i \(-0.368889\pi\)
−0.111469 + 0.993768i \(0.535555\pi\)
\(684\) 24.8127 28.3287i 0.0362759 0.0414163i
\(685\) −187.945 + 7.08069i −0.274373 + 0.0103368i
\(686\) −460.643 + 152.007i −0.671491 + 0.221584i
\(687\) 83.9212 + 102.194i 0.122156 + 0.148754i
\(688\) −177.427 + 47.5414i −0.257888 + 0.0691008i
\(689\) 130.058 75.0889i 0.188763 0.108982i
\(690\) −124.709 249.578i −0.180737 0.361708i
\(691\) −30.3995 17.5512i −0.0439935 0.0253996i 0.477842 0.878446i \(-0.341419\pi\)
−0.521835 + 0.853046i \(0.674752\pi\)
\(692\) −172.374 + 172.374i −0.249095 + 0.249095i
\(693\) −666.062 118.970i −0.961128 0.171673i
\(694\) 101.859i 0.146771i
\(695\) −247.744 802.436i −0.356466 1.15458i
\(696\) −76.6355 168.999i −0.110109 0.242815i
\(697\) −669.759 179.461i −0.960917 0.257477i
\(698\) 352.280 94.3933i 0.504700 0.135234i
\(699\) 91.2662 + 8.96047i 0.130567 + 0.0128190i
\(700\) −145.684 + 318.239i −0.208120 + 0.454627i
\(701\) 1035.40i 1.47703i −0.674238 0.738514i \(-0.735528\pi\)
0.674238 0.738514i \(-0.264472\pi\)
\(702\) −5.64010 + 177.312i −0.00803432 + 0.252582i
\(703\) 85.2980 + 22.8555i 0.121334 + 0.0325114i
\(704\) −42.9589 74.4070i −0.0610212 0.105692i
\(705\) −209.398 1024.62i −0.297019 1.45337i
\(706\) 184.293i 0.261038i
\(707\) −672.192 1114.86i −0.950767 1.57689i
\(708\) 36.1253 + 43.9911i 0.0510244 + 0.0621343i
\(709\) −362.406 209.235i −0.511151 0.295113i 0.222156 0.975011i \(-0.428691\pi\)
−0.733307 + 0.679898i \(0.762024\pi\)
\(710\) −494.857 + 311.117i −0.696982 + 0.438192i
\(711\) 92.1806 + 271.005i 0.129649 + 0.381160i
\(712\) −429.540 + 115.095i −0.603287 + 0.161650i
\(713\) −433.732 433.732i −0.608320 0.608320i
\(714\) 164.626 464.377i 0.230568 0.650388i
\(715\) 249.307 9.39246i 0.348682 0.0131363i
\(716\) 111.013 + 64.0933i 0.155046 + 0.0895158i
\(717\) −225.693 + 600.214i −0.314774 + 0.837118i
\(718\) 230.886 861.678i 0.321568 1.20011i
\(719\) −393.739 227.325i −0.547621 0.316169i 0.200541 0.979685i \(-0.435730\pi\)
−0.748162 + 0.663516i \(0.769063\pi\)
\(720\) 105.656 + 145.728i 0.146745 + 0.202400i
\(721\) −147.054 509.902i −0.203959 0.707214i
\(722\) −356.623 356.623i −0.493938 0.493938i
\(723\) −35.9668 217.430i −0.0497466 0.300733i
\(724\) 305.611 + 529.333i 0.422114 + 0.731123i
\(725\) 451.564 308.211i 0.622847 0.425118i
\(726\) −19.5171 13.9766i −0.0268831 0.0192516i
\(727\) −707.691 707.691i −0.973441 0.973441i 0.0262157 0.999656i \(-0.491654\pi\)
−0.999656 + 0.0262157i \(0.991654\pi\)
\(728\) −1.74572 91.9696i −0.00239797 0.126332i
\(729\) 403.886 606.891i 0.554028 0.832498i
\(730\) 192.338 + 622.978i 0.263477 + 0.853394i
\(731\) 380.916 + 659.766i 0.521089 + 0.902552i
\(732\) 246.274 654.947i 0.336440 0.894737i
\(733\) −216.868 809.364i −0.295864 1.10418i −0.940529 0.339715i \(-0.889670\pi\)
0.644664 0.764466i \(-0.276997\pi\)
\(734\) 226.936i 0.309177i
\(735\) −734.818 16.3531i −0.999752 0.0222492i
\(736\) 74.4002 0.101087
\(737\) −24.2298 + 6.49236i −0.0328763 + 0.00880917i
\(738\) 477.256 + 234.990i 0.646689 + 0.318415i
\(739\) 605.923 349.830i 0.819923 0.473383i −0.0304668 0.999536i \(-0.509699\pi\)
0.850390 + 0.526153i \(0.176366\pi\)
\(740\) −197.132 + 373.223i −0.266394 + 0.504356i
\(741\) −29.0210 2.84927i −0.0391646 0.00384516i
\(742\) 319.934 6.07283i 0.431179 0.00818441i
\(743\) 116.105 116.105i 0.156265 0.156265i −0.624644 0.780910i \(-0.714756\pi\)
0.780910 + 0.624644i \(0.214756\pi\)
\(744\) 321.742 + 230.407i 0.432449 + 0.309687i
\(745\) −1344.07 306.413i −1.80413 0.411293i
\(746\) 5.02976 2.90393i 0.00674231 0.00389267i
\(747\) −31.1607 470.962i −0.0417145 0.630471i
\(748\) −251.972 + 251.972i −0.336861 + 0.336861i
\(749\) 890.003 256.675i 1.18825 0.342690i
\(750\) −369.294 + 380.621i −0.492392 + 0.507494i
\(751\) −533.815 + 924.595i −0.710806 + 1.23115i 0.253749 + 0.967270i \(0.418336\pi\)
−0.964555 + 0.263882i \(0.914997\pi\)
\(752\) 269.378 + 72.1796i 0.358215 + 0.0959835i
\(753\) −248.160 + 659.963i −0.329562 + 0.876445i
\(754\) −71.8441 + 124.438i −0.0952839 + 0.165037i
\(755\) −411.465 + 443.682i −0.544987 + 0.587659i
\(756\) −193.181 + 324.908i −0.255530 + 0.429772i
\(757\) 549.837 549.837i 0.726336 0.726336i −0.243552 0.969888i \(-0.578313\pi\)
0.969888 + 0.243552i \(0.0783125\pi\)
\(758\) −103.263 385.382i −0.136230 0.508419i
\(759\) −385.928 + 175.006i −0.508470 + 0.230574i