Properties

Label 819.2.fy.a.50.2
Level $819$
Weight $2$
Character 819.50
Analytic conductor $6.540$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 819 = 3^{2} \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 819.fy (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.53974792554\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(84\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 50.2
Character \(\chi\) \(=\) 819.50
Dual form 819.2.fy.a.344.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.721163 - 2.69142i) q^{2} +(-1.27046 + 1.17726i) q^{3} +(-4.99160 + 2.88190i) q^{4} +(-0.822532 - 3.06973i) q^{5} +(4.08470 + 2.57033i) q^{6} +(0.707107 - 0.707107i) q^{7} +(7.41566 + 7.41566i) q^{8} +(0.228118 - 2.99131i) q^{9} +O(q^{10})\) \(q+(-0.721163 - 2.69142i) q^{2} +(-1.27046 + 1.17726i) q^{3} +(-4.99160 + 2.88190i) q^{4} +(-0.822532 - 3.06973i) q^{5} +(4.08470 + 2.57033i) q^{6} +(0.707107 - 0.707107i) q^{7} +(7.41566 + 7.41566i) q^{8} +(0.228118 - 2.99131i) q^{9} +(-7.66875 + 4.42756i) q^{10} +(5.16975 - 1.38523i) q^{11} +(2.94886 - 9.53775i) q^{12} +(-1.12170 - 3.42663i) q^{13} +(-2.41306 - 1.39318i) q^{14} +(4.65886 + 2.93163i) q^{15} +(8.84693 - 15.3233i) q^{16} +(1.70463 - 2.95250i) q^{17} +(-8.21539 + 1.54327i) q^{18} +(-0.235278 + 0.0630426i) q^{19} +(12.9524 + 12.9524i) q^{20} +(-0.0658997 + 1.73080i) q^{21} +(-7.45646 - 12.9150i) q^{22} +3.74751 q^{23} +(-18.1514 - 0.691111i) q^{24} +(-4.41657 + 2.54991i) q^{25} +(-8.41356 + 5.49012i) q^{26} +(3.23174 + 4.06889i) q^{27} +(-1.49178 + 5.56741i) q^{28} +(-5.88646 - 3.39855i) q^{29} +(4.53043 - 14.6531i) q^{30} +(0.734581 - 0.196830i) q^{31} +(-27.3616 - 7.33152i) q^{32} +(-4.93716 + 7.84601i) q^{33} +(-9.17573 - 2.45863i) q^{34} +(-2.75225 - 1.58901i) q^{35} +(7.48200 + 15.5889i) q^{36} +(3.79267 + 1.01624i) q^{37} +(0.339348 + 0.587768i) q^{38} +(5.45910 + 3.03285i) q^{39} +(16.6645 - 28.8637i) q^{40} +(2.18045 - 2.18045i) q^{41} +(4.70582 - 1.07082i) q^{42} -3.05810i q^{43} +(-21.8132 + 21.8132i) q^{44} +(-9.37017 + 1.76019i) q^{45} +(-2.70257 - 10.0861i) q^{46} +(-1.36262 + 5.08536i) q^{47} +(6.79990 + 29.8827i) q^{48} -1.00000i q^{49} +(10.0479 + 10.0479i) q^{50} +(1.31021 + 5.75782i) q^{51} +(15.4743 + 13.8717i) q^{52} +1.93867i q^{53} +(8.62047 - 11.6323i) q^{54} +(-8.50457 - 14.7303i) q^{55} +10.4873 q^{56} +(0.224693 - 0.357076i) q^{57} +(-4.90182 + 18.2938i) q^{58} +(-1.35198 + 5.04566i) q^{59} +(-31.7039 - 1.20712i) q^{60} -10.1569 q^{61} +(-1.05951 - 1.83512i) q^{62} +(-1.95387 - 2.27648i) q^{63} +43.5410i q^{64} +(-9.59620 + 6.26183i) q^{65} +(24.6774 + 7.62971i) q^{66} +(-6.84443 - 6.84443i) q^{67} +19.6503i q^{68} +(-4.76104 + 4.41179i) q^{69} +(-2.29187 + 8.55338i) q^{70} +(0.383730 + 1.43210i) q^{71} +(23.8742 - 20.4909i) q^{72} +(-0.0490419 + 0.0490419i) q^{73} -10.9405i q^{74} +(2.60916 - 8.43900i) q^{75} +(0.992732 - 0.992732i) q^{76} +(2.67606 - 4.63507i) q^{77} +(4.22576 - 16.8799i) q^{78} +(6.04884 + 10.4769i) q^{79} +(-54.3154 - 14.5538i) q^{80} +(-8.89592 - 1.36475i) q^{81} +(-7.44097 - 4.29604i) q^{82} +(2.80056 + 0.750407i) q^{83} +(-4.65904 - 8.82937i) q^{84} +(-10.4655 - 2.80422i) q^{85} +(-8.23063 + 2.20539i) q^{86} +(11.4795 - 2.61218i) q^{87} +(48.6094 + 28.0647i) q^{88} +(3.01993 - 11.2705i) q^{89} +(11.4948 + 23.9497i) q^{90} +(-3.21615 - 1.62983i) q^{91} +(-18.7061 + 10.8000i) q^{92} +(-0.701532 + 1.11486i) q^{93} +14.6695 q^{94} +(0.387048 + 0.670387i) q^{95} +(43.3928 - 22.8973i) q^{96} +(-6.85018 - 6.85018i) q^{97} +(-2.69142 + 0.721163i) q^{98} +(-2.96434 - 15.7803i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q - 12 q^{6} + 36 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 336 q - 12 q^{6} + 36 q^{8} - 12 q^{11} + 4 q^{15} + 168 q^{16} - 4 q^{18} - 4 q^{21} + 8 q^{24} - 96 q^{26} + 24 q^{27} - 120 q^{30} - 72 q^{32} + 36 q^{33} + 72 q^{38} + 8 q^{39} - 48 q^{41} - 76 q^{45} + 24 q^{48} - 24 q^{50} - 36 q^{52} + 72 q^{54} + 32 q^{57} + 36 q^{58} - 72 q^{59} + 4 q^{60} + 36 q^{62} - 8 q^{63} - 72 q^{65} - 20 q^{66} - 48 q^{71} - 176 q^{72} - 60 q^{75} - 124 q^{78} - 12 q^{79} - 96 q^{80} - 20 q^{81} - 156 q^{83} - 12 q^{84} - 108 q^{85} - 24 q^{87} + 60 q^{89} - 72 q^{92} + 20 q^{93} + 96 q^{94} + 88 q^{96} - 96 q^{97} + 108 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(379\) \(703\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{7}{12}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.721163 2.69142i −0.509939 1.90312i −0.420941 0.907088i \(-0.638300\pi\)
−0.0889984 0.996032i \(-0.528367\pi\)
\(3\) −1.27046 + 1.17726i −0.733498 + 0.679691i
\(4\) −4.99160 + 2.88190i −2.49580 + 1.44095i
\(5\) −0.822532 3.06973i −0.367848 1.37283i −0.863519 0.504316i \(-0.831745\pi\)
0.495671 0.868510i \(-0.334922\pi\)
\(6\) 4.08470 + 2.57033i 1.66757 + 1.04933i
\(7\) 0.707107 0.707107i 0.267261 0.267261i
\(8\) 7.41566 + 7.41566i 2.62183 + 2.62183i
\(9\) 0.228118 2.99131i 0.0760393 0.997105i
\(10\) −7.66875 + 4.42756i −2.42507 + 1.40012i
\(11\) 5.16975 1.38523i 1.55874 0.417662i 0.626474 0.779443i \(-0.284498\pi\)
0.932263 + 0.361780i \(0.117831\pi\)
\(12\) 2.94886 9.53775i 0.851264 2.75331i
\(13\) −1.12170 3.42663i −0.311104 0.950376i
\(14\) −2.41306 1.39318i −0.644917 0.372343i
\(15\) 4.65886 + 2.93163i 1.20291 + 0.756943i
\(16\) 8.84693 15.3233i 2.21173 3.83083i
\(17\) 1.70463 2.95250i 0.413433 0.716087i −0.581829 0.813311i \(-0.697663\pi\)
0.995263 + 0.0972237i \(0.0309962\pi\)
\(18\) −8.21539 + 1.54327i −1.93639 + 0.363751i
\(19\) −0.235278 + 0.0630426i −0.0539765 + 0.0144630i −0.285706 0.958317i \(-0.592228\pi\)
0.231730 + 0.972780i \(0.425561\pi\)
\(20\) 12.9524 + 12.9524i 2.89625 + 2.89625i
\(21\) −0.0658997 + 1.73080i −0.0143805 + 0.377691i
\(22\) −7.45646 12.9150i −1.58972 2.75348i
\(23\) 3.74751 0.781409 0.390705 0.920516i \(-0.372231\pi\)
0.390705 + 0.920516i \(0.372231\pi\)
\(24\) −18.1514 0.691111i −3.70514 0.141073i
\(25\) −4.41657 + 2.54991i −0.883315 + 0.509982i
\(26\) −8.41356 + 5.49012i −1.65004 + 1.07670i
\(27\) 3.23174 + 4.06889i 0.621949 + 0.783058i
\(28\) −1.49178 + 5.56741i −0.281920 + 1.05214i
\(29\) −5.88646 3.39855i −1.09309 0.631095i −0.158691 0.987328i \(-0.550727\pi\)
−0.934397 + 0.356234i \(0.884061\pi\)
\(30\) 4.53043 14.6531i 0.827140 2.67528i
\(31\) 0.734581 0.196830i 0.131935 0.0353518i −0.192247 0.981346i \(-0.561578\pi\)
0.324182 + 0.945995i \(0.394911\pi\)
\(32\) −27.3616 7.33152i −4.83689 1.29604i
\(33\) −4.93716 + 7.84601i −0.859449 + 1.36581i
\(34\) −9.17573 2.45863i −1.57363 0.421652i
\(35\) −2.75225 1.58901i −0.465215 0.268592i
\(36\) 7.48200 + 15.5889i 1.24700 + 2.59814i
\(37\) 3.79267 + 1.01624i 0.623510 + 0.167069i 0.556723 0.830698i \(-0.312058\pi\)
0.0667873 + 0.997767i \(0.478725\pi\)
\(38\) 0.339348 + 0.587768i 0.0550495 + 0.0953485i
\(39\) 5.45910 + 3.03285i 0.874156 + 0.485645i
\(40\) 16.6645 28.8637i 2.63488 4.56375i
\(41\) 2.18045 2.18045i 0.340529 0.340529i −0.516037 0.856566i \(-0.672593\pi\)
0.856566 + 0.516037i \(0.172593\pi\)
\(42\) 4.70582 1.07082i 0.726124 0.165232i
\(43\) 3.05810i 0.466356i −0.972434 0.233178i \(-0.925088\pi\)
0.972434 0.233178i \(-0.0749125\pi\)
\(44\) −21.8132 + 21.8132i −3.28847 + 3.28847i
\(45\) −9.37017 + 1.76019i −1.39682 + 0.262394i
\(46\) −2.70257 10.0861i −0.398471 1.48712i
\(47\) −1.36262 + 5.08536i −0.198758 + 0.741775i 0.792504 + 0.609867i \(0.208777\pi\)
−0.991262 + 0.131908i \(0.957890\pi\)
\(48\) 6.79990 + 29.8827i 0.981482 + 4.31320i
\(49\) 1.00000i 0.142857i
\(50\) 10.0479 + 10.0479i 1.42099 + 1.42099i
\(51\) 1.31021 + 5.75782i 0.183466 + 0.806256i
\(52\) 15.4743 + 13.8717i 2.14590 + 1.92366i
\(53\) 1.93867i 0.266296i 0.991096 + 0.133148i \(0.0425086\pi\)
−0.991096 + 0.133148i \(0.957491\pi\)
\(54\) 8.62047 11.6323i 1.17310 1.58296i
\(55\) −8.50457 14.7303i −1.14676 1.98624i
\(56\) 10.4873 1.40143
\(57\) 0.224693 0.357076i 0.0297613 0.0472959i
\(58\) −4.90182 + 18.2938i −0.643640 + 2.40210i
\(59\) −1.35198 + 5.04566i −0.176013 + 0.656889i 0.820364 + 0.571842i \(0.193771\pi\)
−0.996377 + 0.0850473i \(0.972896\pi\)
\(60\) −31.7039 1.20712i −4.09295 0.155838i
\(61\) −10.1569 −1.30046 −0.650231 0.759736i \(-0.725328\pi\)
−0.650231 + 0.759736i \(0.725328\pi\)
\(62\) −1.05951 1.83512i −0.134557 0.233060i
\(63\) −1.95387 2.27648i −0.246165 0.286810i
\(64\) 43.5410i 5.44262i
\(65\) −9.59620 + 6.26183i −1.19026 + 0.776685i
\(66\) 24.6774 + 7.62971i 3.03758 + 0.939153i
\(67\) −6.84443 6.84443i −0.836180 0.836180i 0.152174 0.988354i \(-0.451373\pi\)
−0.988354 + 0.152174i \(0.951373\pi\)
\(68\) 19.6503i 2.38295i
\(69\) −4.76104 + 4.41179i −0.573162 + 0.531117i
\(70\) −2.29187 + 8.55338i −0.273931 + 1.02232i
\(71\) 0.383730 + 1.43210i 0.0455403 + 0.169959i 0.984951 0.172836i \(-0.0552931\pi\)
−0.939410 + 0.342795i \(0.888626\pi\)
\(72\) 23.8742 20.4909i 2.81360 2.41488i
\(73\) −0.0490419 + 0.0490419i −0.00573992 + 0.00573992i −0.709971 0.704231i \(-0.751292\pi\)
0.704231 + 0.709971i \(0.251292\pi\)
\(74\) 10.9405i 1.27181i
\(75\) 2.60916 8.43900i 0.301279 0.974452i
\(76\) 0.992732 0.992732i 0.113874 0.113874i
\(77\) 2.67606 4.63507i 0.304965 0.528215i
\(78\) 4.22576 16.8799i 0.478473 1.91127i
\(79\) 6.04884 + 10.4769i 0.680548 + 1.17874i 0.974814 + 0.223020i \(0.0715916\pi\)
−0.294266 + 0.955724i \(0.595075\pi\)
\(80\) −54.3154 14.5538i −6.07265 1.62716i
\(81\) −8.89592 1.36475i −0.988436 0.151638i
\(82\) −7.44097 4.29604i −0.821717 0.474419i
\(83\) 2.80056 + 0.750407i 0.307401 + 0.0823679i 0.409222 0.912435i \(-0.365800\pi\)
−0.101821 + 0.994803i \(0.532467\pi\)
\(84\) −4.65904 8.82937i −0.508343 0.963363i
\(85\) −10.4655 2.80422i −1.13514 0.304161i
\(86\) −8.23063 + 2.20539i −0.887531 + 0.237813i
\(87\) 11.4795 2.61218i 1.23073 0.280056i
\(88\) 48.6094 + 28.0647i 5.18178 + 2.99170i
\(89\) 3.01993 11.2705i 0.320112 1.19467i −0.599023 0.800731i \(-0.704444\pi\)
0.919135 0.393942i \(-0.128889\pi\)
\(90\) 11.4948 + 23.9497i 1.21166 + 2.52452i
\(91\) −3.21615 1.62983i −0.337145 0.170853i
\(92\) −18.7061 + 10.8000i −1.95024 + 1.12597i
\(93\) −0.701532 + 1.11486i −0.0727455 + 0.115605i
\(94\) 14.6695 1.51304
\(95\) 0.387048 + 0.670387i 0.0397103 + 0.0687802i
\(96\) 43.3928 22.8973i 4.42876 2.33695i
\(97\) −6.85018 6.85018i −0.695530 0.695530i 0.267913 0.963443i \(-0.413666\pi\)
−0.963443 + 0.267913i \(0.913666\pi\)
\(98\) −2.69142 + 0.721163i −0.271874 + 0.0728485i
\(99\) −2.96434 15.7803i −0.297928 1.58598i
\(100\) 14.6972 25.4563i 1.46972 2.54563i
\(101\) −5.12871 + 8.88318i −0.510326 + 0.883910i 0.489603 + 0.871946i \(0.337142\pi\)
−0.999928 + 0.0119643i \(0.996192\pi\)
\(102\) 14.5518 7.67864i 1.44084 0.760299i
\(103\) −14.0858 8.13245i −1.38792 0.801314i −0.394836 0.918752i \(-0.629199\pi\)
−0.993080 + 0.117438i \(0.962532\pi\)
\(104\) 17.0926 33.7288i 1.67606 3.30739i
\(105\) 5.36729 1.22134i 0.523794 0.119191i
\(106\) 5.21776 1.39810i 0.506794 0.135795i
\(107\) 13.7263 7.92490i 1.32697 0.766129i 0.342144 0.939648i \(-0.388847\pi\)
0.984831 + 0.173518i \(0.0555136\pi\)
\(108\) −27.8577 10.9967i −2.68061 1.05816i
\(109\) 1.91036 + 1.91036i 0.182980 + 0.182980i 0.792653 0.609673i \(-0.208699\pi\)
−0.609673 + 0.792653i \(0.708699\pi\)
\(110\) −33.5123 + 33.5123i −3.19528 + 3.19528i
\(111\) −6.01480 + 3.17386i −0.570899 + 0.301250i
\(112\) −4.57951 17.0909i −0.432723 1.61494i
\(113\) 4.47564 2.58401i 0.421033 0.243083i −0.274486 0.961591i \(-0.588508\pi\)
0.695519 + 0.718508i \(0.255174\pi\)
\(114\) −1.12308 0.347233i −0.105186 0.0325213i
\(115\) −3.08245 11.5038i −0.287440 1.07274i
\(116\) 39.1772 3.63751
\(117\) −10.5060 + 2.57368i −0.971281 + 0.237937i
\(118\) 14.5550 1.33989
\(119\) −0.882381 3.29309i −0.0808877 0.301877i
\(120\) 12.8086 + 56.2885i 1.16926 + 5.13841i
\(121\) 15.2811 8.82257i 1.38919 0.802052i
\(122\) 7.32481 + 27.3366i 0.663157 + 2.47494i
\(123\) −0.203210 + 5.33713i −0.0183228 + 0.481232i
\(124\) −3.09949 + 3.09949i −0.278342 + 0.278342i
\(125\) 0.224313 + 0.224313i 0.0200632 + 0.0200632i
\(126\) −4.71790 + 6.90041i −0.420304 + 0.614737i
\(127\) 8.19859 4.73346i 0.727507 0.420026i −0.0900025 0.995942i \(-0.528688\pi\)
0.817509 + 0.575915i \(0.195354\pi\)
\(128\) 62.4638 16.7371i 5.52108 1.47937i
\(129\) 3.60018 + 3.88518i 0.316978 + 0.342071i
\(130\) 23.7736 + 21.3116i 2.08509 + 1.86915i
\(131\) −13.7979 7.96620i −1.20552 0.696010i −0.243746 0.969839i \(-0.578376\pi\)
−0.961778 + 0.273829i \(0.911710\pi\)
\(132\) 2.03291 53.3926i 0.176942 4.64723i
\(133\) −0.121789 + 0.210945i −0.0105604 + 0.0182912i
\(134\) −13.4853 + 23.3572i −1.16495 + 2.01775i
\(135\) 9.83219 13.2674i 0.846220 1.14187i
\(136\) 34.5357 9.25381i 2.96141 0.793508i
\(137\) 9.76185 + 9.76185i 0.834012 + 0.834012i 0.988063 0.154051i \(-0.0492321\pi\)
−0.154051 + 0.988063i \(0.549232\pi\)
\(138\) 15.3075 + 9.63234i 1.30306 + 0.819959i
\(139\) −3.83575 6.64371i −0.325344 0.563512i 0.656238 0.754554i \(-0.272147\pi\)
−0.981582 + 0.191042i \(0.938813\pi\)
\(140\) 18.3175 1.54811
\(141\) −4.25564 8.06488i −0.358390 0.679185i
\(142\) 3.57765 2.06555i 0.300229 0.173337i
\(143\) −10.5456 16.1610i −0.881865 1.35145i
\(144\) −43.8187 29.9595i −3.65156 2.49662i
\(145\) −5.59083 + 20.8653i −0.464293 + 1.73277i
\(146\) 0.167360 + 0.0966251i 0.0138508 + 0.00799675i
\(147\) 1.17726 + 1.27046i 0.0970988 + 0.104785i
\(148\) −21.8602 + 5.85742i −1.79690 + 0.481477i
\(149\) −2.61214 0.699922i −0.213995 0.0573398i 0.150229 0.988651i \(-0.451999\pi\)
−0.364224 + 0.931311i \(0.618666\pi\)
\(150\) −24.5945 0.936431i −2.00813 0.0764592i
\(151\) −7.77372 2.08296i −0.632616 0.169509i −0.0717596 0.997422i \(-0.522861\pi\)
−0.560857 + 0.827913i \(0.689528\pi\)
\(152\) −2.21224 1.27724i −0.179437 0.103598i
\(153\) −8.44301 5.77260i −0.682577 0.466687i
\(154\) −14.4048 3.85975i −1.16077 0.311027i
\(155\) −1.20843 2.09307i −0.0970637 0.168119i
\(156\) −35.9901 + 0.593829i −2.88151 + 0.0475443i
\(157\) −1.73962 + 3.01310i −0.138836 + 0.240472i −0.927056 0.374922i \(-0.877670\pi\)
0.788220 + 0.615394i \(0.211003\pi\)
\(158\) 23.8355 23.8355i 1.89625 1.89625i
\(159\) −2.28231 2.46299i −0.180999 0.195328i
\(160\) 90.0232i 7.11696i
\(161\) 2.64989 2.64989i 0.208840 0.208840i
\(162\) 2.74231 + 24.9269i 0.215456 + 1.95844i
\(163\) 5.08909 + 18.9928i 0.398608 + 1.48763i 0.815546 + 0.578692i \(0.196437\pi\)
−0.416938 + 0.908935i \(0.636897\pi\)
\(164\) −4.60010 + 17.1678i −0.359207 + 1.34058i
\(165\) 28.1461 + 8.70217i 2.19117 + 0.677463i
\(166\) 8.07864i 0.627024i
\(167\) −2.01446 2.01446i −0.155884 0.155884i 0.624856 0.780740i \(-0.285158\pi\)
−0.780740 + 0.624856i \(0.785158\pi\)
\(168\) −13.3237 + 12.3463i −1.02794 + 0.952538i
\(169\) −10.4836 + 7.68730i −0.806429 + 0.591331i
\(170\) 30.1894i 2.31542i
\(171\) 0.134909 + 0.718172i 0.0103168 + 0.0549200i
\(172\) 8.81315 + 15.2648i 0.671996 + 1.16393i
\(173\) 5.77608 0.439147 0.219574 0.975596i \(-0.429533\pi\)
0.219574 + 0.975596i \(0.429533\pi\)
\(174\) −15.3090 29.0122i −1.16058 2.19941i
\(175\) −1.31993 + 4.92605i −0.0997774 + 0.372374i
\(176\) 24.5100 91.4727i 1.84751 6.89502i
\(177\) −4.22242 8.00192i −0.317377 0.601461i
\(178\) −32.5116 −2.43684
\(179\) −2.10944 3.65366i −0.157667 0.273087i 0.776360 0.630290i \(-0.217064\pi\)
−0.934027 + 0.357203i \(0.883731\pi\)
\(180\) 41.6995 35.7901i 3.10809 2.66764i
\(181\) 6.30682i 0.468782i 0.972142 + 0.234391i \(0.0753097\pi\)
−0.972142 + 0.234391i \(0.924690\pi\)
\(182\) −2.06718 + 9.83139i −0.153230 + 0.728751i
\(183\) 12.9039 11.9574i 0.953887 0.883913i
\(184\) 27.7902 + 27.7902i 2.04872 + 2.04872i
\(185\) 12.4784i 0.917427i
\(186\) 3.50647 + 1.08412i 0.257107 + 0.0794917i
\(187\) 4.72260 17.6250i 0.345351 1.28887i
\(188\) −7.85386 29.3110i −0.572802 2.13773i
\(189\) 5.16232 + 0.591953i 0.375504 + 0.0430582i
\(190\) 1.52517 1.52517i 0.110647 0.110647i
\(191\) 17.0279i 1.23210i 0.787708 + 0.616049i \(0.211268\pi\)
−0.787708 + 0.616049i \(0.788732\pi\)
\(192\) −51.2591 55.3169i −3.69931 3.99216i
\(193\) −9.40808 + 9.40808i −0.677209 + 0.677209i −0.959368 0.282159i \(-0.908949\pi\)
0.282159 + 0.959368i \(0.408949\pi\)
\(194\) −13.4966 + 23.3768i −0.968999 + 1.67836i
\(195\) 4.81975 19.2526i 0.345149 1.37871i
\(196\) 2.88190 + 4.99160i 0.205850 + 0.356543i
\(197\) 6.70357 + 1.79622i 0.477609 + 0.127975i 0.489589 0.871953i \(-0.337147\pi\)
−0.0119799 + 0.999928i \(0.503813\pi\)
\(198\) −40.3337 + 19.3585i −2.86639 + 1.37575i
\(199\) 0.616592 + 0.355990i 0.0437091 + 0.0252354i 0.521695 0.853132i \(-0.325300\pi\)
−0.477986 + 0.878367i \(0.658633\pi\)
\(200\) −51.6610 13.8425i −3.65299 0.978815i
\(201\) 16.7532 + 0.637875i 1.18168 + 0.0449922i
\(202\) 27.6070 + 7.39727i 1.94242 + 0.520470i
\(203\) −6.56549 + 1.75922i −0.460807 + 0.123473i
\(204\) −23.1335 24.9648i −1.61967 1.74789i
\(205\) −8.48690 4.89991i −0.592750 0.342225i
\(206\) −11.7296 + 43.7756i −0.817243 + 3.04999i
\(207\) 0.854874 11.2100i 0.0594179 0.779147i
\(208\) −62.4309 13.1270i −4.32881 0.910191i
\(209\) −1.12900 + 0.651828i −0.0780946 + 0.0450879i
\(210\) −7.15783 13.5648i −0.493937 0.936062i
\(211\) −18.9140 −1.30210 −0.651048 0.759037i \(-0.725670\pi\)
−0.651048 + 0.759037i \(0.725670\pi\)
\(212\) −5.58705 9.67705i −0.383720 0.664623i
\(213\) −2.17346 1.36767i −0.148923 0.0937112i
\(214\) −31.2281 31.2281i −2.13471 2.13471i
\(215\) −9.38755 + 2.51539i −0.640226 + 0.171548i
\(216\) −6.20800 + 54.1390i −0.422401 + 3.68369i
\(217\) 0.380247 0.658607i 0.0258129 0.0447092i
\(218\) 3.76390 6.51927i 0.254924 0.441541i
\(219\) 0.00457053 0.120041i 0.000308848 0.00811160i
\(220\) 84.9028 + 49.0187i 5.72415 + 3.30484i
\(221\) −12.0292 2.52931i −0.809173 0.170140i
\(222\) 12.8798 + 13.8995i 0.864438 + 0.932870i
\(223\) 7.24363 1.94093i 0.485070 0.129974i −0.00799265 0.999968i \(-0.502544\pi\)
0.493062 + 0.869994i \(0.335877\pi\)
\(224\) −24.5317 + 14.1634i −1.63910 + 0.946332i
\(225\) 6.62008 + 13.7930i 0.441339 + 0.919536i
\(226\) −10.1823 10.1823i −0.677318 0.677318i
\(227\) 10.0238 10.0238i 0.665302 0.665302i −0.291323 0.956625i \(-0.594095\pi\)
0.956625 + 0.291323i \(0.0940953\pi\)
\(228\) −0.0925190 + 2.42993i −0.00612722 + 0.160926i
\(229\) 4.04436 + 15.0938i 0.267259 + 0.997425i 0.960853 + 0.277059i \(0.0893596\pi\)
−0.693594 + 0.720366i \(0.743974\pi\)
\(230\) −28.7387 + 16.5923i −1.89497 + 1.09406i
\(231\) 2.05687 + 9.03907i 0.135332 + 0.594727i
\(232\) −18.4495 68.8544i −1.21127 4.52051i
\(233\) 11.6920 0.765969 0.382985 0.923755i \(-0.374896\pi\)
0.382985 + 0.923755i \(0.374896\pi\)
\(234\) 14.5034 + 26.4200i 0.948117 + 1.72713i
\(235\) 16.7315 1.09144
\(236\) −7.79255 29.0822i −0.507252 1.89309i
\(237\) −20.0188 6.18939i −1.30036 0.402044i
\(238\) −8.22674 + 4.74971i −0.533260 + 0.307878i
\(239\) 2.64369 + 9.86637i 0.171006 + 0.638202i 0.997198 + 0.0748134i \(0.0238361\pi\)
−0.826192 + 0.563389i \(0.809497\pi\)
\(240\) 86.1389 45.4534i 5.56024 2.93401i
\(241\) 12.0243 12.0243i 0.774553 0.774553i −0.204345 0.978899i \(-0.565507\pi\)
0.978899 + 0.204345i \(0.0655066\pi\)
\(242\) −34.7654 34.7654i −2.23481 2.23481i
\(243\) 12.9085 8.73897i 0.828083 0.560605i
\(244\) 50.6994 29.2713i 3.24570 1.87390i
\(245\) −3.06973 + 0.822532i −0.196118 + 0.0525497i
\(246\) 14.5110 3.30202i 0.925187 0.210529i
\(247\) 0.479935 + 0.735496i 0.0305375 + 0.0467985i
\(248\) 6.90703 + 3.98777i 0.438597 + 0.253224i
\(249\) −4.44141 + 2.34362i −0.281463 + 0.148521i
\(250\) 0.441954 0.765487i 0.0279516 0.0484137i
\(251\) −6.60210 + 11.4352i −0.416721 + 0.721782i −0.995607 0.0936263i \(-0.970154\pi\)
0.578886 + 0.815408i \(0.303487\pi\)
\(252\) 16.3136 + 5.73242i 1.02766 + 0.361108i
\(253\) 19.3737 5.19116i 1.21801 0.326365i
\(254\) −18.6522 18.6522i −1.17034 1.17034i
\(255\) 16.5973 8.75798i 1.03936 0.548446i
\(256\) −46.5522 80.6308i −2.90952 5.03943i
\(257\) 19.7340 1.23097 0.615485 0.788148i \(-0.288960\pi\)
0.615485 + 0.788148i \(0.288960\pi\)
\(258\) 7.86033 12.4914i 0.489363 0.777683i
\(259\) 3.40041 1.96323i 0.211291 0.121989i
\(260\) 29.8544 58.9119i 1.85149 3.65356i
\(261\) −11.5089 + 16.8330i −0.712385 + 1.04194i
\(262\) −11.4899 + 42.8807i −0.709846 + 2.64918i
\(263\) 14.8635 + 8.58146i 0.916525 + 0.529156i 0.882525 0.470266i \(-0.155842\pi\)
0.0339999 + 0.999422i \(0.489175\pi\)
\(264\) −94.7956 + 21.5710i −5.83427 + 1.32760i
\(265\) 5.95119 1.59462i 0.365579 0.0979565i
\(266\) 0.655570 + 0.175659i 0.0401956 + 0.0107704i
\(267\) 9.43165 + 17.8740i 0.577208 + 1.09387i
\(268\) 53.8896 + 14.4397i 3.29183 + 0.882044i
\(269\) 2.52578 + 1.45826i 0.153999 + 0.0889115i 0.575019 0.818140i \(-0.304995\pi\)
−0.421020 + 0.907051i \(0.638328\pi\)
\(270\) −42.7987 16.8946i −2.60464 1.02817i
\(271\) −16.9630 4.54522i −1.03043 0.276103i −0.296287 0.955099i \(-0.595749\pi\)
−0.734142 + 0.678996i \(0.762415\pi\)
\(272\) −30.1614 52.2411i −1.82881 3.16758i
\(273\) 6.00472 1.71562i 0.363422 0.103834i
\(274\) 19.2333 33.3131i 1.16193 2.01252i
\(275\) −19.3004 + 19.3004i −1.16386 + 1.16386i
\(276\) 11.0509 35.7428i 0.665185 2.15146i
\(277\) 14.6459i 0.879987i −0.898001 0.439993i \(-0.854981\pi\)
0.898001 0.439993i \(-0.145019\pi\)
\(278\) −15.1148 + 15.1148i −0.906526 + 0.906526i
\(279\) −0.421210 2.24226i −0.0252172 0.134241i
\(280\) −8.62616 32.1933i −0.515512 1.92392i
\(281\) −3.27129 + 12.2086i −0.195149 + 0.728306i 0.797079 + 0.603875i \(0.206377\pi\)
−0.992228 + 0.124431i \(0.960289\pi\)
\(282\) −18.6369 + 17.2698i −1.10981 + 1.02840i
\(283\) 0.301759i 0.0179377i 0.999960 + 0.00896887i \(0.00285492\pi\)
−0.999960 + 0.00896887i \(0.997145\pi\)
\(284\) −6.04260 6.04260i −0.358562 0.358562i
\(285\) −1.28095 0.396041i −0.0758767 0.0234594i
\(286\) −35.8909 + 40.0373i −2.12227 + 2.36745i
\(287\) 3.08362i 0.182021i
\(288\) −28.1725 + 80.1747i −1.66008 + 4.72434i
\(289\) 2.68848 + 4.65659i 0.158146 + 0.273917i
\(290\) 60.1891 3.53442
\(291\) 16.7673 + 0.638411i 0.982916 + 0.0374243i
\(292\) 0.103464 0.386132i 0.00605476 0.0225967i
\(293\) −0.234374 + 0.874697i −0.0136923 + 0.0511003i −0.972434 0.233178i \(-0.925087\pi\)
0.958742 + 0.284279i \(0.0917541\pi\)
\(294\) 2.57033 4.08470i 0.149905 0.238225i
\(295\) 16.6009 0.966540
\(296\) 20.5890 + 35.6612i 1.19671 + 2.07277i
\(297\) 22.3436 + 16.5584i 1.29651 + 0.960817i
\(298\) 7.53513i 0.436498i
\(299\) −4.20358 12.8413i −0.243099 0.742633i
\(300\) 11.2965 + 49.6435i 0.652205 + 2.86617i
\(301\) −2.16240 2.16240i −0.124639 0.124639i
\(302\) 22.4245i 1.29038i
\(303\) −3.94202 17.3235i −0.226463 0.995210i
\(304\) −1.11547 + 4.16298i −0.0639764 + 0.238763i
\(305\) 8.35441 + 31.1791i 0.478372 + 1.78531i
\(306\) −9.44769 + 26.8866i −0.540088 + 1.53701i
\(307\) −9.90942 + 9.90942i −0.565560 + 0.565560i −0.930882 0.365321i \(-0.880959\pi\)
0.365321 + 0.930882i \(0.380959\pi\)
\(308\) 30.8486i 1.75776i
\(309\) 27.4694 6.25074i 1.56268 0.355592i
\(310\) −4.76184 + 4.76184i −0.270454 + 0.270454i
\(311\) 2.27468 3.93986i 0.128985 0.223409i −0.794298 0.607528i \(-0.792161\pi\)
0.923284 + 0.384119i \(0.125495\pi\)
\(312\) 17.9923 + 62.9734i 1.01861 + 3.56517i
\(313\) 11.2602 + 19.5033i 0.636466 + 1.10239i 0.986202 + 0.165544i \(0.0529379\pi\)
−0.349736 + 0.936848i \(0.613729\pi\)
\(314\) 9.36407 + 2.50909i 0.528445 + 0.141596i
\(315\) −5.38107 + 7.87035i −0.303189 + 0.443444i
\(316\) −60.3868 34.8644i −3.39703 1.96127i
\(317\) −10.6811 2.86199i −0.599910 0.160745i −0.0539318 0.998545i \(-0.517175\pi\)
−0.545979 + 0.837799i \(0.683842\pi\)
\(318\) −4.98302 + 7.91888i −0.279434 + 0.444069i
\(319\) −35.1393 9.41554i −1.96742 0.527169i
\(320\) 133.659 35.8139i 7.47178 2.00206i
\(321\) −8.10903 + 26.2277i −0.452602 + 1.46389i
\(322\) −9.04296 5.22095i −0.503944 0.290952i
\(323\) −0.214928 + 0.802124i −0.0119589 + 0.0446314i
\(324\) 48.3380 18.8249i 2.68544 1.04583i
\(325\) 13.6917 + 12.2737i 0.759477 + 0.680824i
\(326\) 47.4474 27.3937i 2.62787 1.51720i
\(327\) −4.67603 0.178039i −0.258585 0.00984556i
\(328\) 32.3390 1.78562
\(329\) 2.63237 + 4.55941i 0.145127 + 0.251368i
\(330\) 3.12322 82.0287i 0.171928 4.51553i
\(331\) −20.2976 20.2976i −1.11565 1.11565i −0.992372 0.123283i \(-0.960658\pi\)
−0.123283 0.992372i \(-0.539342\pi\)
\(332\) −16.1419 + 4.32520i −0.885900 + 0.237376i
\(333\) 3.90507 11.1132i 0.213997 0.609001i
\(334\) −3.96900 + 6.87451i −0.217174 + 0.376156i
\(335\) −15.3808 + 26.6403i −0.840343 + 1.45552i
\(336\) 25.9385 + 16.3220i 1.41506 + 0.890440i
\(337\) 3.30407 + 1.90761i 0.179984 + 0.103914i 0.587285 0.809380i \(-0.300197\pi\)
−0.407301 + 0.913294i \(0.633530\pi\)
\(338\) 28.2501 + 22.6719i 1.53660 + 1.23319i
\(339\) −2.64405 + 8.55187i −0.143605 + 0.464474i
\(340\) 60.3212 16.1630i 3.27137 0.876562i
\(341\) 3.52494 2.03513i 0.190886 0.110208i
\(342\) 1.83561 0.881016i 0.0992584 0.0476399i
\(343\) −0.707107 0.707107i −0.0381802 0.0381802i
\(344\) 22.6778 22.6778i 1.22271 1.22271i
\(345\) 17.4591 + 10.9863i 0.939968 + 0.591482i
\(346\) −4.16550 15.5458i −0.223938 0.835750i
\(347\) 24.5984 14.2019i 1.32051 0.762396i 0.336699 0.941612i \(-0.390689\pi\)
0.983810 + 0.179216i \(0.0573561\pi\)
\(348\) −49.7729 + 46.1217i −2.66811 + 2.47238i
\(349\) 7.72971 + 28.8477i 0.413762 + 1.54418i 0.787303 + 0.616567i \(0.211477\pi\)
−0.373541 + 0.927614i \(0.621856\pi\)
\(350\) 14.2099 0.759553
\(351\) 10.3175 15.6381i 0.550709 0.834697i
\(352\) −151.608 −8.08075
\(353\) −6.84465 25.5446i −0.364304 1.35960i −0.868362 0.495931i \(-0.834827\pi\)
0.504058 0.863670i \(-0.331840\pi\)
\(354\) −18.4915 + 17.1350i −0.982810 + 0.910714i
\(355\) 4.08053 2.35590i 0.216572 0.125038i
\(356\) 17.4063 + 64.9611i 0.922531 + 3.44293i
\(357\) 4.99785 + 3.14493i 0.264514 + 0.166448i
\(358\) −8.31227 + 8.31227i −0.439317 + 0.439317i
\(359\) 18.6440 + 18.6440i 0.983992 + 0.983992i 0.999874 0.0158822i \(-0.00505567\pi\)
−0.0158822 + 0.999874i \(0.505056\pi\)
\(360\) −82.5389 56.4330i −4.35018 2.97428i
\(361\) −16.4031 + 9.47033i −0.863321 + 0.498439i
\(362\) 16.9743 4.54825i 0.892149 0.239051i
\(363\) −9.02756 + 29.1986i −0.473824 + 1.53253i
\(364\) 20.7508 1.13318i 1.08764 0.0593946i
\(365\) 0.190884 + 0.110207i 0.00999134 + 0.00576850i
\(366\) −41.4881 26.1067i −2.16862 1.36462i
\(367\) 17.6055 30.4936i 0.918998 1.59175i 0.118059 0.993007i \(-0.462333\pi\)
0.800939 0.598745i \(-0.204334\pi\)
\(368\) 33.1539 57.4243i 1.72827 2.99345i
\(369\) −6.02502 7.01982i −0.313650 0.365437i
\(370\) −33.5845 + 8.99894i −1.74597 + 0.467832i
\(371\) 1.37084 + 1.37084i 0.0711707 + 0.0711707i
\(372\) 0.288861 7.58667i 0.0149767 0.393351i
\(373\) −16.1578 27.9861i −0.836617 1.44906i −0.892707 0.450638i \(-0.851196\pi\)
0.0560893 0.998426i \(-0.482137\pi\)
\(374\) −50.8420 −2.62898
\(375\) −0.549055 0.0209052i −0.0283531 0.00107954i
\(376\) −47.8160 + 27.6066i −2.46592 + 1.42370i
\(377\) −5.04272 + 23.9829i −0.259714 + 1.23518i
\(378\) −2.12969 14.3209i −0.109539 0.736586i
\(379\) −0.0550195 + 0.205336i −0.00282616 + 0.0105474i −0.967325 0.253541i \(-0.918405\pi\)
0.964498 + 0.264089i \(0.0850712\pi\)
\(380\) −3.86398 2.23087i −0.198218 0.114441i
\(381\) −4.84344 + 15.6655i −0.248137 + 0.802569i
\(382\) 45.8293 12.2799i 2.34483 0.628295i
\(383\) 11.3560 + 3.04284i 0.580267 + 0.155482i 0.537001 0.843582i \(-0.319557\pi\)
0.0432657 + 0.999064i \(0.486224\pi\)
\(384\) −59.6536 + 94.8000i −3.04419 + 4.83774i
\(385\) −16.4296 4.40229i −0.837328 0.224361i
\(386\) 32.1059 + 18.5363i 1.63414 + 0.943474i
\(387\) −9.14774 0.697608i −0.465006 0.0354614i
\(388\) 53.9349 + 14.4518i 2.73813 + 0.733680i
\(389\) 0.793328 + 1.37408i 0.0402233 + 0.0696688i 0.885436 0.464761i \(-0.153860\pi\)
−0.845213 + 0.534430i \(0.820526\pi\)
\(390\) −55.2926 + 0.912317i −2.79985 + 0.0461970i
\(391\) 6.38811 11.0645i 0.323061 0.559557i
\(392\) 7.41566 7.41566i 0.374547 0.374547i
\(393\) 26.9079 6.12296i 1.35732 0.308863i
\(394\) 19.3375i 0.974207i
\(395\) 27.1859 27.1859i 1.36787 1.36787i
\(396\) 60.2742 + 70.2262i 3.02889 + 3.52900i
\(397\) 1.33645 + 4.98771i 0.0670746 + 0.250326i 0.991320 0.131474i \(-0.0419710\pi\)
−0.924245 + 0.381800i \(0.875304\pi\)
\(398\) 0.513453 1.91623i 0.0257371 0.0960521i
\(399\) −0.0936092 0.411373i −0.00468632 0.0205944i
\(400\) 90.2354i 4.51177i
\(401\) −17.9161 17.9161i −0.894690 0.894690i 0.100270 0.994960i \(-0.468029\pi\)
−0.994960 + 0.100270i \(0.968029\pi\)
\(402\) −10.3650 45.5499i −0.516960 2.27182i
\(403\) −1.49844 2.29635i −0.0746428 0.114389i
\(404\) 59.1218i 2.94142i
\(405\) 3.12778 + 28.4307i 0.155421 + 1.41273i
\(406\) 9.46958 + 16.4018i 0.469967 + 0.814008i
\(407\) 21.0148 1.04167
\(408\) −32.9819 + 52.4140i −1.63285 + 2.59488i
\(409\) 2.25625 8.42044i 0.111564 0.416364i −0.887443 0.460918i \(-0.847520\pi\)
0.999007 + 0.0445544i \(0.0141868\pi\)
\(410\) −7.06727 + 26.3754i −0.349028 + 1.30259i
\(411\) −23.8942 0.909768i −1.17862 0.0448756i
\(412\) 93.7477 4.61862
\(413\) 2.61183 + 4.52381i 0.128520 + 0.222602i
\(414\) −30.7872 + 5.78340i −1.51311 + 0.284239i
\(415\) 9.21420i 0.452307i
\(416\) 5.56911 + 101.982i 0.273048 + 5.00007i
\(417\) 12.6945 + 3.92487i 0.621654 + 0.192202i
\(418\) 2.56854 + 2.56854i 0.125631 + 0.125631i
\(419\) 13.9580i 0.681891i −0.940083 0.340946i \(-0.889253\pi\)
0.940083 0.340946i \(-0.110747\pi\)
\(420\) −23.2716 + 21.5645i −1.13554 + 1.05224i
\(421\) 5.03613 18.7951i 0.245446 0.916017i −0.727713 0.685882i \(-0.759417\pi\)
0.973159 0.230135i \(-0.0739167\pi\)
\(422\) 13.6401 + 50.9056i 0.663990 + 2.47804i
\(423\) 14.9011 + 5.23608i 0.724514 + 0.254587i
\(424\) −14.3765 + 14.3765i −0.698184 + 0.698184i
\(425\) 17.3866i 0.843374i
\(426\) −2.11355 + 6.83602i −0.102402 + 0.331206i
\(427\) −7.18204 + 7.18204i −0.347563 + 0.347563i
\(428\) −45.6776 + 79.1159i −2.20791 + 3.82421i
\(429\) 32.4234 + 8.11695i 1.56542 + 0.391890i
\(430\) 13.5399 + 23.4518i 0.652953 + 1.13095i
\(431\) −26.5813 7.12244i −1.28038 0.343076i −0.446378 0.894844i \(-0.647286\pi\)
−0.833997 + 0.551769i \(0.813953\pi\)
\(432\) 90.9399 13.5239i 4.37535 0.650667i
\(433\) 4.79646 + 2.76924i 0.230503 + 0.133081i 0.610804 0.791782i \(-0.290846\pi\)
−0.380301 + 0.924863i \(0.624180\pi\)
\(434\) −2.04681 0.548440i −0.0982499 0.0263260i
\(435\) −17.4609 33.0903i −0.837188 1.58656i
\(436\) −15.0413 4.03029i −0.720345 0.193016i
\(437\) −0.881707 + 0.236253i −0.0421778 + 0.0113015i
\(438\) −0.326376 + 0.0742678i −0.0155948 + 0.00354865i
\(439\) −16.8471 9.72671i −0.804071 0.464230i 0.0408219 0.999166i \(-0.487002\pi\)
−0.844893 + 0.534936i \(0.820336\pi\)
\(440\) 46.1682 172.302i 2.20098 8.21418i
\(441\) −2.99131 0.228118i −0.142444 0.0108628i
\(442\) 1.86761 + 34.1997i 0.0888330 + 1.62671i
\(443\) −0.0576708 + 0.0332962i −0.00274002 + 0.00158195i −0.501369 0.865233i \(-0.667170\pi\)
0.498629 + 0.866815i \(0.333837\pi\)
\(444\) 20.8767 33.1767i 0.990765 1.57450i
\(445\) −37.0815 −1.75783
\(446\) −10.4477 18.0959i −0.494712 0.856867i
\(447\) 4.14260 2.18595i 0.195938 0.103392i
\(448\) 30.7881 + 30.7881i 1.45460 + 1.45460i
\(449\) 27.5984 7.39496i 1.30245 0.348990i 0.460072 0.887882i \(-0.347824\pi\)
0.842375 + 0.538892i \(0.181157\pi\)
\(450\) 32.3487 27.7644i 1.52493 1.30883i
\(451\) 8.25196 14.2928i 0.388569 0.673022i
\(452\) −14.8937 + 25.7967i −0.700543 + 1.21338i
\(453\) 12.3284 6.50538i 0.579237 0.305649i
\(454\) −34.2070 19.7494i −1.60541 0.926886i
\(455\) −2.35775 + 11.2133i −0.110533 + 0.525689i
\(456\) 4.31420 0.981709i 0.202031 0.0459728i
\(457\) −16.5261 + 4.42814i −0.773056 + 0.207140i −0.623721 0.781647i \(-0.714380\pi\)
−0.149335 + 0.988787i \(0.547713\pi\)
\(458\) 37.7070 21.7702i 1.76193 1.01725i
\(459\) 17.5223 2.60578i 0.817872 0.121627i
\(460\) 48.5393 + 48.5393i 2.26316 + 2.26316i
\(461\) 8.28158 8.28158i 0.385712 0.385712i −0.487443 0.873155i \(-0.662070\pi\)
0.873155 + 0.487443i \(0.162070\pi\)
\(462\) 22.8446 12.0545i 1.06283 0.560827i
\(463\) 10.1589 + 37.9136i 0.472125 + 1.76199i 0.632113 + 0.774876i \(0.282188\pi\)
−0.159988 + 0.987119i \(0.551146\pi\)
\(464\) −104.154 + 60.1334i −4.83523 + 2.79162i
\(465\) 3.99935 + 1.23651i 0.185465 + 0.0573418i
\(466\) −8.43185 31.4681i −0.390598 1.45773i
\(467\) 16.5544 0.766046 0.383023 0.923739i \(-0.374883\pi\)
0.383023 + 0.923739i \(0.374883\pi\)
\(468\) 45.0247 43.1241i 2.08127 1.99341i
\(469\) −9.67948 −0.446957
\(470\) −12.0661 45.0314i −0.556569 2.07714i
\(471\) −1.33710 5.87600i −0.0616103 0.270752i
\(472\) −47.4427 + 27.3911i −2.18373 + 1.26078i
\(473\) −4.23617 15.8096i −0.194779 0.726926i
\(474\) −2.22138 + 58.3426i −0.102031 + 2.67976i
\(475\) 0.878370 0.878370i 0.0403024 0.0403024i
\(476\) 13.8949 + 13.8949i 0.636870 + 0.636870i
\(477\) 5.79916 + 0.442245i 0.265525 + 0.0202490i
\(478\) 24.6480 14.2305i 1.12737 0.650889i
\(479\) −39.7777 + 10.6584i −1.81749 + 0.486994i −0.996473 0.0839130i \(-0.973258\pi\)
−0.821015 + 0.570907i \(0.806592\pi\)
\(480\) −105.981 114.371i −4.83733 5.22028i
\(481\) −0.771950 14.1360i −0.0351979 0.644545i
\(482\) −41.0339 23.6909i −1.86904 1.07909i
\(483\) −0.246960 + 6.48617i −0.0112371 + 0.295131i
\(484\) −50.8516 + 88.0775i −2.31144 + 4.00352i
\(485\) −15.3937 + 26.6627i −0.698993 + 1.21069i
\(486\) −32.8294 28.4401i −1.48917 1.29007i
\(487\) 2.54869 0.682920i 0.115492 0.0309460i −0.200610 0.979671i \(-0.564292\pi\)
0.316102 + 0.948725i \(0.397626\pi\)
\(488\) −75.3204 75.3204i −3.40959 3.40959i
\(489\) −28.8249 18.1383i −1.30351 0.820241i
\(490\) 4.42756 + 7.66875i 0.200017 + 0.346439i
\(491\) 37.8540 1.70833 0.854163 0.520005i \(-0.174070\pi\)
0.854163 + 0.520005i \(0.174070\pi\)
\(492\) −14.3667 27.2264i −0.647703 1.22746i
\(493\) −20.0684 + 11.5865i −0.903837 + 0.521831i
\(494\) 1.63342 1.82212i 0.0734909 0.0819810i
\(495\) −46.0031 + 22.0796i −2.06769 + 0.992403i
\(496\) 3.48269 12.9976i 0.156377 0.583608i
\(497\) 1.28398 + 0.741309i 0.0575946 + 0.0332523i
\(498\) 9.51065 + 10.2636i 0.426183 + 0.459921i
\(499\) 42.5361 11.3975i 1.90418 0.510223i 0.908440 0.418016i \(-0.137274\pi\)
0.995740 0.0922073i \(-0.0293923\pi\)
\(500\) −1.76613 0.473234i −0.0789838 0.0211637i
\(501\) 4.93083 + 0.187740i 0.220293 + 0.00838761i
\(502\) 35.5380 + 9.52239i 1.58614 + 0.425005i
\(503\) 32.6753 + 18.8651i 1.45692 + 0.841153i 0.998858 0.0477675i \(-0.0152107\pi\)
0.458061 + 0.888921i \(0.348544\pi\)
\(504\) 2.39235 31.3709i 0.106564 1.39737i
\(505\) 31.4875 + 8.43706i 1.40118 + 0.375444i
\(506\) −27.9432 48.3990i −1.24222 2.15160i
\(507\) 4.26897 22.1083i 0.189592 0.981863i
\(508\) −27.2827 + 47.2551i −1.21048 + 2.09660i
\(509\) −18.7468 + 18.7468i −0.830935 + 0.830935i −0.987645 0.156709i \(-0.949911\pi\)
0.156709 + 0.987645i \(0.449911\pi\)
\(510\) −35.5407 38.3543i −1.57377 1.69835i
\(511\) 0.0693558i 0.00306812i
\(512\) −91.9861 + 91.9861i −4.06525 + 4.06525i
\(513\) −1.01687 0.753583i −0.0448960 0.0332715i
\(514\) −14.2314 53.1123i −0.627720 2.34268i
\(515\) −13.3784 + 49.9289i −0.589523 + 2.20013i
\(516\) −29.1674 9.01792i −1.28402 0.396992i
\(517\) 28.1775i 1.23925i
\(518\) −7.73612 7.73612i −0.339906 0.339906i
\(519\) −7.33826 + 6.79995i −0.322114 + 0.298485i
\(520\) −117.598 24.7265i −5.15700 1.08433i
\(521\) 16.6706i 0.730353i −0.930938 0.365176i \(-0.881009\pi\)
0.930938 0.365176i \(-0.118991\pi\)
\(522\) 53.6044 + 18.8360i 2.34620 + 0.824430i
\(523\) −20.5374 35.5718i −0.898036 1.55544i −0.830001 0.557762i \(-0.811660\pi\)
−0.0680352 0.997683i \(-0.521673\pi\)
\(524\) 91.8313 4.01167
\(525\) −4.12232 7.81223i −0.179913 0.340954i
\(526\) 12.3773 46.1926i 0.539675 2.01409i
\(527\) 0.671045 2.50437i 0.0292312 0.109092i
\(528\) 76.5482 + 145.067i 3.33133 + 6.31322i
\(529\) −8.95618 −0.389399
\(530\) −8.58356 14.8672i −0.372846 0.645788i
\(531\) 14.7847 + 5.19520i 0.641603 + 0.225453i
\(532\) 1.40394i 0.0608683i
\(533\) −9.91741 5.02579i −0.429571 0.217691i
\(534\) 41.3045 38.2746i 1.78742 1.65630i
\(535\) −35.6177 35.6177i −1.53989 1.53989i
\(536\) 101.512i 4.38464i
\(537\) 6.98126 + 2.15845i 0.301264 + 0.0931441i
\(538\) 2.10328 7.84956i 0.0906789 0.338418i
\(539\) −1.38523 5.16975i −0.0596661 0.222677i
\(540\) −10.8431 + 94.5609i −0.466612 + 4.06925i
\(541\) 19.1104 19.1104i 0.821622 0.821622i −0.164719 0.986341i \(-0.552672\pi\)
0.986341 + 0.164719i \(0.0526717\pi\)
\(542\) 48.9324i 2.10182i
\(543\) −7.42477 8.01254i −0.318627 0.343851i
\(544\) −68.2877 + 68.2877i −2.92781 + 2.92781i
\(545\) 4.29297 7.43564i 0.183891 0.318508i
\(546\) −8.94784 14.9240i −0.382932 0.638687i
\(547\) −4.77819 8.27607i −0.204301 0.353859i 0.745609 0.666384i \(-0.232159\pi\)
−0.949910 + 0.312524i \(0.898825\pi\)
\(548\) −76.8600 20.5946i −3.28330 0.879757i
\(549\) −2.31698 + 30.3826i −0.0988863 + 1.29670i
\(550\) 65.8640 + 38.0266i 2.80845 + 1.62146i
\(551\) 1.59921 + 0.428507i 0.0681286 + 0.0182550i
\(552\) −68.0226 2.58995i −2.89523 0.110235i
\(553\) 11.6855 + 3.13111i 0.496917 + 0.133148i
\(554\) −39.4182 + 10.5621i −1.67472 + 0.448740i
\(555\) 14.6903 + 15.8532i 0.623567 + 0.672931i
\(556\) 38.2931 + 22.1085i 1.62399 + 0.937610i
\(557\) 4.22781 15.7784i 0.179138 0.668553i −0.816671 0.577103i \(-0.804183\pi\)
0.995810 0.0914500i \(-0.0291502\pi\)
\(558\) −5.73111 + 2.75069i −0.242617 + 0.116446i
\(559\) −10.4790 + 3.43027i −0.443214 + 0.145085i
\(560\) −48.6978 + 28.1157i −2.05786 + 1.18811i
\(561\) 14.7493 + 27.9515i 0.622718 + 1.18011i
\(562\) 35.2177 1.48557
\(563\) −14.7165 25.4897i −0.620225 1.07426i −0.989444 0.144918i \(-0.953708\pi\)
0.369219 0.929343i \(-0.379625\pi\)
\(564\) 44.4847 + 27.9923i 1.87314 + 1.17869i
\(565\) −11.6136 11.6136i −0.488587 0.488587i
\(566\) 0.812161 0.217618i 0.0341377 0.00914716i
\(567\) −7.25539 + 5.32535i −0.304698 + 0.223644i
\(568\) −7.77435 + 13.4656i −0.326204 + 0.565003i
\(569\) 13.3708 23.1590i 0.560535 0.970875i −0.436915 0.899503i \(-0.643929\pi\)
0.997450 0.0713718i \(-0.0227377\pi\)
\(570\) −0.142140 + 3.73317i −0.00595358 + 0.156365i
\(571\) −2.59295 1.49704i −0.108512 0.0626493i 0.444762 0.895649i \(-0.353288\pi\)
−0.553274 + 0.833000i \(0.686622\pi\)
\(572\) 99.2137 + 50.2779i 4.14833 + 2.10223i
\(573\) −20.0463 21.6332i −0.837446 0.903741i
\(574\) −8.29932 + 2.22380i −0.346407 + 0.0928195i
\(575\) −16.5511 + 9.55581i −0.690230 + 0.398505i
\(576\) 130.245 + 9.93249i 5.42687 + 0.413854i
\(577\) 28.9311 + 28.9311i 1.20442 + 1.20442i 0.972810 + 0.231607i \(0.0743982\pi\)
0.231607 + 0.972810i \(0.425602\pi\)
\(578\) 10.5940 10.5940i 0.440652 0.440652i
\(579\) 0.876798 23.0283i 0.0364385 0.957024i
\(580\) −32.2245 120.263i −1.33805 4.99367i
\(581\) 2.51091 1.44968i 0.104170 0.0601427i
\(582\) −10.3737 45.5882i −0.430005 1.88969i
\(583\) 2.68550 + 10.0224i 0.111222 + 0.415086i
\(584\) −0.727356 −0.0300982
\(585\) 16.5420 + 30.1337i 0.683929 + 1.24587i
\(586\) 2.52320 0.104232
\(587\) 0.185515 + 0.692352i 0.00765703 + 0.0285764i 0.969649 0.244503i \(-0.0786246\pi\)
−0.961992 + 0.273079i \(0.911958\pi\)
\(588\) −9.53775 2.94886i −0.393330 0.121609i
\(589\) −0.160422 + 0.0926198i −0.00661008 + 0.00381633i
\(590\) −11.9719 44.6799i −0.492877 1.83944i
\(591\) −10.6312 + 5.60983i −0.437309 + 0.230757i
\(592\) 49.1256 49.1256i 2.01905 2.01905i
\(593\) −24.3117 24.3117i −0.998360 0.998360i 0.00163836 0.999999i \(-0.499478\pi\)
−0.999999 + 0.00163836i \(0.999478\pi\)
\(594\) 28.4522 72.0773i 1.16741 2.95737i
\(595\) −9.38312 + 5.41734i −0.384670 + 0.222089i
\(596\) 15.0559 4.03421i 0.616713 0.165248i
\(597\) −1.20245 + 0.273620i −0.0492128 + 0.0111985i
\(598\) −31.5299 + 20.5743i −1.28935 + 0.841345i
\(599\) 0.370409 + 0.213856i 0.0151345 + 0.00873792i 0.507548 0.861623i \(-0.330552\pi\)
−0.492414 + 0.870361i \(0.663885\pi\)
\(600\) 81.9294 43.2321i 3.34475 1.76494i
\(601\) 6.11891 10.5983i 0.249596 0.432313i −0.713818 0.700331i \(-0.753036\pi\)
0.963414 + 0.268019i \(0.0863689\pi\)
\(602\) −4.26049 + 7.37938i −0.173644 + 0.300761i
\(603\) −22.0352 + 18.9125i −0.897341 + 0.770176i
\(604\) 44.8062 12.0058i 1.82314 0.488508i
\(605\) −39.6522 39.6522i −1.61209 1.61209i
\(606\) −43.7820 + 23.1027i −1.77852 + 0.938483i
\(607\) 14.7174 + 25.4914i 0.597363 + 1.03466i 0.993209 + 0.116346i \(0.0371180\pi\)
−0.395846 + 0.918317i \(0.629549\pi\)
\(608\) 6.89978 0.279823
\(609\) 6.27011 9.96430i 0.254078 0.403774i
\(610\) 77.8911 44.9704i 3.15372 1.82080i
\(611\) 18.9541 1.03506i 0.766800 0.0418741i
\(612\) 58.7802 + 4.48259i 2.37605 + 0.181198i
\(613\) 4.09959 15.2999i 0.165581 0.617957i −0.832384 0.554199i \(-0.813025\pi\)
0.997965 0.0637580i \(-0.0203086\pi\)
\(614\) 33.8167 + 19.5241i 1.36473 + 0.787928i
\(615\) 16.5507 3.76616i 0.667389 0.151866i
\(616\) 54.2168 14.5273i 2.18446 0.585323i
\(617\) 32.6329 + 8.74396i 1.31375 + 0.352019i 0.846633 0.532177i \(-0.178626\pi\)
0.467118 + 0.884195i \(0.345292\pi\)
\(618\) −36.6333 69.4239i −1.47361 2.79264i
\(619\) 2.74257 + 0.734870i 0.110233 + 0.0295369i 0.313514 0.949584i \(-0.398494\pi\)
−0.203281 + 0.979120i \(0.565160\pi\)
\(620\) 12.0640 + 6.96517i 0.484503 + 0.279728i
\(621\) 12.1110 + 15.2482i 0.485997 + 0.611889i
\(622\) −12.2442 3.28083i −0.490949 0.131549i
\(623\) −5.83405 10.1049i −0.233736 0.404843i
\(624\) 94.7696 56.8202i 3.79382 2.27463i
\(625\) −12.2455 + 21.2098i −0.489819 + 0.848391i
\(626\) 44.3711 44.3711i 1.77342 1.77342i
\(627\) 0.666974 2.15725i 0.0266364 0.0861521i
\(628\) 20.0536i 0.800227i
\(629\) 9.46554 9.46554i 0.377416 0.377416i
\(630\) 25.0630 + 8.80689i 0.998535 + 0.350875i
\(631\) 0.943771 + 3.52220i 0.0375709 + 0.140217i 0.982164 0.188028i \(-0.0602096\pi\)
−0.944593 + 0.328245i \(0.893543\pi\)
\(632\) −32.8370 + 122.549i −1.30618 + 4.87475i
\(633\) 24.0295 22.2667i 0.955085 0.885023i
\(634\) 30.8113i 1.22367i
\(635\) −21.2740 21.2740i −0.844235 0.844235i
\(636\) 18.4905 + 5.71686i 0.733196 + 0.226688i
\(637\) −3.42663 + 1.12170i −0.135768 + 0.0444434i
\(638\) 101.365i 4.01306i
\(639\) 4.37139 0.821169i 0.172930 0.0324849i
\(640\) −102.757 177.980i −4.06183 7.03529i
\(641\) 24.0328 0.949237 0.474619 0.880191i \(-0.342586\pi\)
0.474619 + 0.880191i \(0.342586\pi\)
\(642\) 76.4376 + 2.91035i 3.01675 + 0.114862i
\(643\) −7.27858 + 27.1640i −0.287039 + 1.07124i 0.660297 + 0.751004i \(0.270430\pi\)
−0.947336 + 0.320240i \(0.896236\pi\)
\(644\) −5.59047 + 20.8639i −0.220295 + 0.822153i
\(645\) 8.96521 14.2473i 0.353005 0.560986i
\(646\) 2.31385 0.0910371
\(647\) 9.58101 + 16.5948i 0.376668 + 0.652409i 0.990575 0.136970i \(-0.0437363\pi\)
−0.613907 + 0.789379i \(0.710403\pi\)
\(648\) −55.8486 76.0896i −2.19394 2.98908i
\(649\) 27.9576i 1.09743i
\(650\) 23.1598 45.7014i 0.908402 1.79255i
\(651\) 0.292265 + 1.28438i 0.0114548 + 0.0503389i
\(652\) −80.1380 80.1380i −3.13845 3.13845i
\(653\) 15.9484i 0.624108i 0.950064 + 0.312054i \(0.101017\pi\)
−0.950064 + 0.312054i \(0.898983\pi\)
\(654\) 2.89300 + 12.7135i 0.113125 + 0.497139i
\(655\) −13.1049 + 48.9082i −0.512051 + 1.91100i
\(656\) −14.1215 52.7021i −0.551351 2.05767i
\(657\) 0.135513 + 0.157887i 0.00528685 + 0.00615977i
\(658\) 10.3729 10.3729i 0.404378 0.404378i
\(659\) 41.4005i 1.61274i −0.591415 0.806368i \(-0.701430\pi\)
0.591415 0.806368i \(-0.298570\pi\)
\(660\) −165.573 + 37.6766i −6.44492 + 1.46656i
\(661\) −1.35593 + 1.35593i −0.0527395 + 0.0527395i −0.732985 0.680245i \(-0.761873\pi\)
0.680245 + 0.732985i \(0.261873\pi\)
\(662\) −39.9913 + 69.2670i −1.55431 + 2.69214i
\(663\) 18.2602 10.9481i 0.709169 0.425190i
\(664\) 15.2032 + 26.3327i 0.589999 + 1.02191i
\(665\) 0.747719 + 0.200351i 0.0289953 + 0.00776927i
\(666\) −32.7265 2.49573i −1.26813 0.0967076i
\(667\) −22.0596 12.7361i −0.854149 0.493143i
\(668\) 15.8609 + 4.24991i 0.613675 + 0.164434i
\(669\) −6.91774 + 10.9935i −0.267455 + 0.425033i
\(670\) 82.7923 + 22.1841i 3.19855 + 0.857048i
\(671\) −52.5088 + 14.0697i −2.02708 + 0.543154i
\(672\) 14.4925 46.8742i 0.559060 1.80821i
\(673\) −1.97135 1.13816i −0.0759899 0.0438728i 0.461524 0.887128i \(-0.347303\pi\)
−0.537514 + 0.843255i \(0.680636\pi\)
\(674\) 2.75139 10.2683i 0.105980 0.395522i
\(675\) −24.6485 9.72989i −0.948722 0.374504i
\(676\) 30.1758 68.5846i 1.16061 2.63787i
\(677\) −30.9503 + 17.8691i −1.18952 + 0.686767i −0.958196 0.286111i \(-0.907637\pi\)
−0.231319 + 0.972878i \(0.574304\pi\)
\(678\) 24.9234 + 0.948955i 0.957179 + 0.0364444i
\(679\) −9.68762 −0.371777
\(680\) −56.8134 98.4038i −2.17870 3.77361i
\(681\) −0.934180 + 24.5354i −0.0357978 + 0.940198i
\(682\) −8.01943 8.01943i −0.307080 0.307080i
\(683\) −39.4213 + 10.5629i −1.50841 + 0.404178i −0.915908 0.401389i \(-0.868528\pi\)
−0.592505 + 0.805567i \(0.701861\pi\)
\(684\) −2.74311 3.19604i −0.104886 0.122203i
\(685\) 21.9368 37.9957i 0.838164 1.45174i
\(686\) −1.39318 + 2.41306i −0.0531919 + 0.0921310i
\(687\) −22.9075 14.4147i −0.873975 0.549956i
\(688\) −46.8603 27.0548i −1.78653 1.03145i
\(689\) 6.64309 2.17460i 0.253082 0.0828458i
\(690\) 16.9778 54.9127i 0.646335 2.09049i
\(691\) 36.3427 9.73800i 1.38254 0.370451i 0.510498 0.859879i \(-0.329461\pi\)
0.872044 + 0.489428i \(0.162794\pi\)
\(692\) −28.8319 + 16.6461i −1.09602 + 0.632790i
\(693\) −13.2545 9.06227i −0.503496 0.344247i
\(694\) −55.9626 55.9626i −2.12431 2.12431i
\(695\) −17.2394 + 17.2394i −0.653928 + 0.653928i
\(696\) 104.499 + 65.7567i 3.96102 + 2.49250i
\(697\) −2.72093 10.1546i −0.103063 0.384635i
\(698\) 72.0667 41.6078i 2.72777 1.57488i
\(699\) −14.8542 + 13.7645i −0.561837 + 0.520623i
\(700\) −7.60782 28.3928i −0.287549 1.07315i
\(701\) −48.7148 −1.83993 −0.919967 0.391997i \(-0.871784\pi\)
−0.919967 + 0.391997i \(0.871784\pi\)
\(702\) −49.5291 16.4912i −1.86936 0.622420i
\(703\) −0.956398 −0.0360712
\(704\) 60.3143 + 225.096i 2.27318 + 8.48362i
\(705\) −21.2566 + 19.6973i −0.800570 + 0.741843i
\(706\) −63.8150 + 36.8436i −2.40171 + 1.38663i
\(707\) 2.65482 + 9.90791i 0.0998446 + 0.372625i
\(708\) 44.1374 + 27.7738i 1.65879 + 1.04380i
\(709\) −4.60804 + 4.60804i −0.173058 + 0.173058i −0.788322 0.615263i \(-0.789050\pi\)
0.615263 + 0.788322i \(0.289050\pi\)
\(710\) −9.28343 9.28343i −0.348401 0.348401i
\(711\) 32.7196 15.7040i 1.22708 0.588947i
\(712\) 105.973 61.1836i 3.97151 2.29295i
\(713\) 2.75285 0.737623i 0.103095 0.0276242i
\(714\) 4.86007 15.7193i 0.181883 0.588280i
\(715\) −40.9359 + 45.6650i −1.53091 + 1.70778i
\(716\) 21.0590 + 12.1584i 0.787011 + 0.454381i
\(717\) −14.9740 9.42249i −0.559213 0.351889i
\(718\) 36.7334 63.6241i 1.37088 2.37443i
\(719\) 12.1532 21.0500i 0.453239 0.785033i −0.545346 0.838211i \(-0.683602\pi\)
0.998585 + 0.0531782i \(0.0169351\pi\)
\(720\) −55.9252 + 159.154i −2.08421 + 5.93134i
\(721\) −15.7107 + 4.20966i −0.585096 + 0.156776i
\(722\) 37.3179 + 37.3179i 1.38883 + 1.38883i
\(723\) −1.12062 + 29.4321i −0.0416763 + 1.09459i
\(724\) −18.1757 31.4812i −0.675493 1.16999i
\(725\) 34.6640 1.28739
\(726\) 85.0959 + 3.24001i 3.15820 + 0.120248i
\(727\) −36.4439 + 21.0409i −1.35163 + 0.780364i −0.988478 0.151366i \(-0.951633\pi\)
−0.363152 + 0.931730i \(0.618299\pi\)
\(728\) −11.7636 35.9362i −0.435989 1.33188i
\(729\) −6.11170 + 26.2992i −0.226359 + 0.974044i
\(730\) 0.158955 0.593227i 0.00588317 0.0219563i
\(731\) −9.02905 5.21292i −0.333952 0.192807i
\(732\) −29.9514 + 96.8743i −1.10704 + 3.58058i
\(733\) −47.6995 + 12.7810i −1.76182 + 0.472079i −0.987084 0.160204i \(-0.948785\pi\)
−0.774738 + 0.632283i \(0.782118\pi\)
\(734\) −94.7674 25.3928i −3.49793 0.937267i
\(735\) 2.93163 4.65886i 0.108135 0.171845i
\(736\) −102.538 27.4749i −3.77959 1.01274i
\(737\) −44.8650 25.9028i −1.65263 0.954144i
\(738\) −14.5482 + 21.2783i −0.535528 + 0.783264i
\(739\) −11.2484 3.01401i −0.413781 0.110872i 0.0459221 0.998945i \(-0.485377\pi\)
−0.459703 + 0.888073i \(0.652044\pi\)
\(740\) 35.9614 + 62.2870i 1.32197 + 2.28972i
\(741\) −1.47561 0.369407i −0.0542078 0.0135705i
\(742\) 2.70091 4.67812i 0.0991536 0.171739i
\(743\) −25.9250 + 25.9250i −0.951095 + 0.951095i −0.998859 0.0477641i \(-0.984790\pi\)
0.0477641 + 0.998859i \(0.484790\pi\)
\(744\) −13.4697 + 3.06507i −0.493824 + 0.112371i
\(745\) 8.59429i 0.314871i
\(746\) −63.6698 + 63.6698i −2.33112 + 2.33112i
\(747\) 2.88356 8.20617i 0.105504 0.300248i
\(748\) 27.2202 + 101.587i 0.995268 + 3.71439i
\(749\) 4.10223 15.3097i 0.149892 0.559405i
\(750\) 0.339694 + 1.49281i 0.0124039 + 0.0545098i
\(751\) 6.39205i 0.233249i 0.993176 + 0.116625i \(0.0372075\pi\)
−0.993176 + 0.116625i \(0.962793\pi\)
\(752\) 65.8696 + 65.8696i 2.40202 + 2.40202i
\(753\) −5.07449 22.3003i −0.184925 0.812667i
\(754\) 68.1845 3.72348i 2.48313 0.135601i
\(755\) 25.5765i 0.930826i
\(756\) −27.4742 + 11.9225i −0.999228 + 0.433618i
\(757\) 2.52969 + 4.38156i 0.0919433 + 0.159250i 0.908329 0.418257i \(-0.137359\pi\)
−0.816386 + 0.577507i \(0.804025\pi\)
\(758\) 0.592322 0.0215141
\(759\) −18.5021 + 29.4030i −0.671582 + 1.06726i
\(760\) −2.10114 + 7.84157i −0.0762164 + 0.284444i
\(761\) −2.55524 + 9.53628i −0.0926273 + 0.345690i −0.996649 0.0817967i \(-0.973934\pi\)
0.904022 + 0.427486i \(0.140601\pi\)
\(762\) 45.6554 + 1.73832i 1.65392 + 0.0629726i
\(763\) 2.70166 0.0978067
\(764\) −49.0728 84.9966i −1.77539 3.07507i
\(765\) −10.7757 + 30.6659i −0.389596 + 1.10873i
\(766\) 32.7582i 1.18360i
\(767\) 18.8061 1.02698i 0.679050 0.0370821i
\(768\) 154.066 + 47.6339i 5.55938 + 1.71884i
\(769\) 9.87623 + 9.87623i 0.356146 + 0.356146i 0.862390 0.506244i \(-0.168967\pi\)
−0.506244 + 0.862390i \(0.668967\pi\)
\(770\) 47.3936i 1.70795i
\(771\) −25.0711 + 23.2320i −0.902915 + 0.836680i
\(772\) 19.8482 74.0746i 0.714354 2.66600i
\(773\) −1.97616 7.37514i −0.0710776 0.265265i 0.921238 0.389000i \(-0.127179\pi\)
&mi