Properties

Label 637.2.w.b.547.2
Level $637$
Weight $2$
Character 637.547
Analytic conductor $5.086$
Analytic rank $0$
Dimension $174$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.w (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(174\)
Relative dimension: \(29\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 547.2
Character \(\chi\) \(=\) 637.547
Dual form 637.2.w.b.92.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.57084 - 1.96978i) q^{2} +(2.34650 - 1.13001i) q^{3} +(-0.967425 + 4.23856i) q^{4} +(3.79256 - 1.82640i) q^{5} +(-5.91185 - 2.84700i) q^{6} +(0.107940 + 2.64355i) q^{7} +(5.32882 - 2.56623i) q^{8} +(2.35865 - 2.95765i) q^{9} +O(q^{10})\) \(q+(-1.57084 - 1.96978i) q^{2} +(2.34650 - 1.13001i) q^{3} +(-0.967425 + 4.23856i) q^{4} +(3.79256 - 1.82640i) q^{5} +(-5.91185 - 2.84700i) q^{6} +(0.107940 + 2.64355i) q^{7} +(5.32882 - 2.56623i) q^{8} +(2.35865 - 2.95765i) q^{9} +(-9.55512 - 4.60150i) q^{10} +(1.87400 + 2.34992i) q^{11} +(2.51958 + 11.0390i) q^{12} +(0.623490 + 0.781831i) q^{13} +(5.03764 - 4.36522i) q^{14} +(6.83537 - 8.57129i) q^{15} +(-5.59160 - 2.69277i) q^{16} +(-0.290990 - 1.27491i) q^{17} -9.53098 q^{18} -6.95465 q^{19} +(4.07230 + 17.8419i) q^{20} +(3.24053 + 6.08110i) q^{21} +(1.68505 - 7.38270i) q^{22} +(0.0448741 - 0.196606i) q^{23} +(9.60420 - 12.0433i) q^{24} +(7.93033 - 9.94431i) q^{25} +(0.560628 - 2.45627i) q^{26} +(0.453765 - 1.98808i) q^{27} +(-11.3093 - 2.09992i) q^{28} +(0.542464 + 2.37669i) q^{29} -27.6208 q^{30} -0.570396 q^{31} +(0.847148 + 3.71160i) q^{32} +(7.05276 + 3.39643i) q^{33} +(-2.05419 + 2.57587i) q^{34} +(5.23755 + 9.82868i) q^{35} +(10.2544 + 12.8586i) q^{36} +(-2.37752 - 10.4166i) q^{37} +(10.9247 + 13.6991i) q^{38} +(2.34650 + 1.13001i) q^{39} +(15.5229 - 19.4651i) q^{40} +(4.77248 - 2.29830i) q^{41} +(6.88805 - 15.9356i) q^{42} +(8.15214 + 3.92586i) q^{43} +(-11.7732 + 5.66968i) q^{44} +(3.54346 - 15.5249i) q^{45} +(-0.457761 + 0.220446i) q^{46} +(-3.64206 - 4.56701i) q^{47} -16.1635 q^{48} +(-6.97670 + 0.570691i) q^{49} -32.0454 q^{50} +(-2.12347 - 2.66275i) q^{51} +(-3.91702 + 1.88634i) q^{52} +(0.570583 - 2.49989i) q^{53} +(-4.62886 + 2.22914i) q^{54} +(11.3991 + 5.48953i) q^{55} +(7.35914 + 13.8100i) q^{56} +(-16.3191 + 7.85885i) q^{57} +(3.82942 - 4.80194i) q^{58} +(-10.1754 - 4.90022i) q^{59} +(29.7172 + 37.2643i) q^{60} +(1.72573 + 7.56090i) q^{61} +(0.896004 + 1.12355i) q^{62} +(8.07329 + 5.91595i) q^{63} +(-1.75873 + 2.20538i) q^{64} +(3.79256 + 1.82640i) q^{65} +(-4.38858 - 19.2276i) q^{66} -5.63879 q^{67} +5.68531 q^{68} +(-0.116871 - 0.512045i) q^{69} +(11.1329 - 25.7561i) q^{70} +(-2.86376 + 12.5470i) q^{71} +(4.97882 - 21.8136i) q^{72} +(-5.25894 + 6.59450i) q^{73} +(-16.7837 + 21.0461i) q^{74} +(7.37128 - 32.2957i) q^{75} +(6.72810 - 29.4777i) q^{76} +(-6.00984 + 5.20765i) q^{77} +(-1.46011 - 6.39715i) q^{78} -16.3012 q^{79} -26.1245 q^{80} +(1.34358 + 5.88662i) q^{81} +(-12.0240 - 5.79043i) q^{82} +(-2.67054 + 3.34875i) q^{83} +(-28.9101 + 7.85217i) q^{84} +(-3.43210 - 4.30371i) q^{85} +(-5.07267 - 22.2248i) q^{86} +(3.95858 + 4.96391i) q^{87} +(16.0166 + 7.71319i) q^{88} +(0.566938 - 0.710918i) q^{89} +(-36.1468 + 17.4074i) q^{90} +(-1.99951 + 1.73262i) q^{91} +(0.789917 + 0.380404i) q^{92} +(-1.33843 + 0.644556i) q^{93} +(-3.27486 + 14.3481i) q^{94} +(-26.3759 + 12.7020i) q^{95} +(6.18198 + 7.75196i) q^{96} +3.36724 q^{97} +(12.0834 + 12.8461i) q^{98} +11.3703 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9} - 10 q^{10} - 5 q^{11} + 25 q^{12} - 29 q^{13} + 15 q^{14} - 10 q^{15} - 51 q^{16} - 9 q^{17} + 44 q^{18} + 24 q^{19} + 63 q^{20} - 28 q^{21} - 8 q^{22} - 13 q^{23} - 48 q^{24} - 49 q^{25} - 3 q^{26} - 9 q^{27} - 44 q^{28} + 2 q^{29} - 22 q^{30} + 10 q^{31} + 24 q^{32} - 26 q^{33} + 118 q^{34} + 5 q^{35} - 55 q^{36} - 32 q^{37} + 16 q^{38} + 42 q^{40} - 14 q^{41} + 4 q^{42} - 50 q^{43} + 35 q^{44} - q^{45} + 4 q^{46} - 24 q^{47} - 116 q^{48} - 25 q^{49} + 156 q^{50} + 12 q^{51} - 31 q^{52} - 30 q^{53} - 78 q^{54} + 25 q^{55} + 3 q^{56} - 63 q^{57} - 12 q^{58} - 4 q^{59} + 128 q^{60} - 42 q^{61} - 38 q^{62} - 85 q^{63} - 105 q^{64} - 4 q^{65} + 15 q^{66} + 94 q^{67} + 214 q^{68} + 32 q^{69} - 57 q^{70} - 29 q^{71} - 64 q^{72} - 66 q^{73} - 90 q^{74} + 131 q^{75} - 21 q^{76} - 82 q^{77} + 19 q^{78} + 6 q^{79} + 22 q^{80} + 49 q^{81} - 50 q^{82} + 25 q^{83} + 89 q^{84} - 86 q^{85} - 28 q^{86} + 24 q^{87} + 48 q^{88} - 50 q^{89} - 155 q^{90} - 5 q^{91} - 98 q^{92} + 89 q^{93} - 28 q^{94} - 130 q^{95} - 105 q^{96} - 42 q^{97} + 195 q^{98} + 438 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{6}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.57084 1.96978i −1.11075 1.39284i −0.910706 0.413056i \(-0.864461\pi\)
−0.200049 0.979786i \(-0.564110\pi\)
\(3\) 2.34650 1.13001i 1.35475 0.652414i 0.391291 0.920267i \(-0.372029\pi\)
0.963460 + 0.267853i \(0.0863143\pi\)
\(4\) −0.967425 + 4.23856i −0.483712 + 2.11928i
\(5\) 3.79256 1.82640i 1.69608 0.816791i 0.701522 0.712647i \(-0.252504\pi\)
0.994562 0.104144i \(-0.0332102\pi\)
\(6\) −5.91185 2.84700i −2.41350 1.16228i
\(7\) 0.107940 + 2.64355i 0.0407976 + 0.999167i
\(8\) 5.32882 2.56623i 1.88402 0.907298i
\(9\) 2.35865 2.95765i 0.786216 0.985884i
\(10\) −9.55512 4.60150i −3.02159 1.45512i
\(11\) 1.87400 + 2.34992i 0.565031 + 0.708526i 0.979479 0.201547i \(-0.0645967\pi\)
−0.414448 + 0.910073i \(0.636025\pi\)
\(12\) 2.51958 + 11.0390i 0.727339 + 3.18668i
\(13\) 0.623490 + 0.781831i 0.172925 + 0.216841i
\(14\) 5.03764 4.36522i 1.34637 1.16665i
\(15\) 6.83537 8.57129i 1.76489 2.21310i
\(16\) −5.59160 2.69277i −1.39790 0.673193i
\(17\) −0.290990 1.27491i −0.0705755 0.309211i 0.927303 0.374311i \(-0.122121\pi\)
−0.997879 + 0.0650994i \(0.979264\pi\)
\(18\) −9.53098 −2.24647
\(19\) −6.95465 −1.59551 −0.797753 0.602985i \(-0.793978\pi\)
−0.797753 + 0.602985i \(0.793978\pi\)
\(20\) 4.07230 + 17.8419i 0.910594 + 3.98957i
\(21\) 3.24053 + 6.08110i 0.707141 + 1.32701i
\(22\) 1.68505 7.38270i 0.359255 1.57400i
\(23\) 0.0448741 0.196606i 0.00935691 0.0409953i −0.970034 0.242969i \(-0.921879\pi\)
0.979391 + 0.201974i \(0.0647357\pi\)
\(24\) 9.60420 12.0433i 1.96045 2.45833i
\(25\) 7.93033 9.94431i 1.58607 1.98886i
\(26\) 0.560628 2.45627i 0.109948 0.481714i
\(27\) 0.453765 1.98808i 0.0873272 0.382605i
\(28\) −11.3093 2.09992i −2.13725 0.396848i
\(29\) 0.542464 + 2.37669i 0.100733 + 0.441341i 0.999992 + 0.00392442i \(0.00124919\pi\)
−0.899259 + 0.437416i \(0.855894\pi\)
\(30\) −27.6208 −5.04285
\(31\) −0.570396 −0.102446 −0.0512231 0.998687i \(-0.516312\pi\)
−0.0512231 + 0.998687i \(0.516312\pi\)
\(32\) 0.847148 + 3.71160i 0.149756 + 0.656124i
\(33\) 7.05276 + 3.39643i 1.22773 + 0.591243i
\(34\) −2.05419 + 2.57587i −0.352291 + 0.441758i
\(35\) 5.23755 + 9.82868i 0.885307 + 1.66135i
\(36\) 10.2544 + 12.8586i 1.70906 + 2.14310i
\(37\) −2.37752 10.4166i −0.390863 1.71248i −0.661625 0.749835i \(-0.730133\pi\)
0.270763 0.962646i \(-0.412724\pi\)
\(38\) 10.9247 + 13.6991i 1.77221 + 2.22229i
\(39\) 2.34650 + 1.13001i 0.375740 + 0.180947i
\(40\) 15.5229 19.4651i 2.45439 3.07771i
\(41\) 4.77248 2.29830i 0.745335 0.358935i −0.0223596 0.999750i \(-0.507118\pi\)
0.767695 + 0.640815i \(0.221404\pi\)
\(42\) 6.88805 15.9356i 1.06285 2.45891i
\(43\) 8.15214 + 3.92586i 1.24319 + 0.598689i 0.935678 0.352855i \(-0.114789\pi\)
0.307512 + 0.951544i \(0.400504\pi\)
\(44\) −11.7732 + 5.66968i −1.77488 + 0.854737i
\(45\) 3.54346 15.5249i 0.528228 2.31432i
\(46\) −0.457761 + 0.220446i −0.0674932 + 0.0325030i
\(47\) −3.64206 4.56701i −0.531250 0.666166i 0.441705 0.897160i \(-0.354374\pi\)
−0.972955 + 0.230994i \(0.925802\pi\)
\(48\) −16.1635 −2.33300
\(49\) −6.97670 + 0.570691i −0.996671 + 0.0815273i
\(50\) −32.0454 −4.53190
\(51\) −2.12347 2.66275i −0.297346 0.372860i
\(52\) −3.91702 + 1.88634i −0.543193 + 0.261588i
\(53\) 0.570583 2.49989i 0.0783756 0.343386i −0.920503 0.390736i \(-0.872220\pi\)
0.998878 + 0.0473500i \(0.0150776\pi\)
\(54\) −4.62886 + 2.22914i −0.629908 + 0.303348i
\(55\) 11.3991 + 5.48953i 1.53706 + 0.740208i
\(56\) 7.35914 + 13.8100i 0.983406 + 1.84544i
\(57\) −16.3191 + 7.85885i −2.16151 + 1.04093i
\(58\) 3.82942 4.80194i 0.502828 0.630526i
\(59\) −10.1754 4.90022i −1.32473 0.637955i −0.368240 0.929731i \(-0.620040\pi\)
−0.956487 + 0.291776i \(0.905754\pi\)
\(60\) 29.7172 + 37.2643i 3.83648 + 4.81079i
\(61\) 1.72573 + 7.56090i 0.220957 + 0.968074i 0.956760 + 0.290879i \(0.0939476\pi\)
−0.735803 + 0.677195i \(0.763195\pi\)
\(62\) 0.896004 + 1.12355i 0.113793 + 0.142691i
\(63\) 8.07329 + 5.91595i 1.01714 + 0.745340i
\(64\) −1.75873 + 2.20538i −0.219842 + 0.275673i
\(65\) 3.79256 + 1.82640i 0.470409 + 0.226537i
\(66\) −4.38858 19.2276i −0.540197 2.36676i
\(67\) −5.63879 −0.688888 −0.344444 0.938807i \(-0.611933\pi\)
−0.344444 + 0.938807i \(0.611933\pi\)
\(68\) 5.68531 0.689445
\(69\) −0.116871 0.512045i −0.0140696 0.0616430i
\(70\) 11.1329 25.7561i 1.33064 3.07844i
\(71\) −2.86376 + 12.5470i −0.339866 + 1.48905i 0.459484 + 0.888186i \(0.348034\pi\)
−0.799350 + 0.600866i \(0.794823\pi\)
\(72\) 4.97882 21.8136i 0.586760 2.57076i
\(73\) −5.25894 + 6.59450i −0.615512 + 0.771827i −0.987705 0.156328i \(-0.950034\pi\)
0.372193 + 0.928155i \(0.378606\pi\)
\(74\) −16.7837 + 21.0461i −1.95106 + 2.44656i
\(75\) 7.37128 32.2957i 0.851162 3.72918i
\(76\) 6.72810 29.4777i 0.771766 3.38133i
\(77\) −6.00984 + 5.20765i −0.684885 + 0.593467i
\(78\) −1.46011 6.39715i −0.165325 0.724334i
\(79\) −16.3012 −1.83403 −0.917017 0.398848i \(-0.869410\pi\)
−0.917017 + 0.398848i \(0.869410\pi\)
\(80\) −26.1245 −2.92081
\(81\) 1.34358 + 5.88662i 0.149287 + 0.654069i
\(82\) −12.0240 5.79043i −1.32782 0.639446i
\(83\) −2.67054 + 3.34875i −0.293129 + 0.367573i −0.906488 0.422232i \(-0.861247\pi\)
0.613358 + 0.789805i \(0.289818\pi\)
\(84\) −28.9101 + 7.85217i −3.15435 + 0.856742i
\(85\) −3.43210 4.30371i −0.372263 0.466803i
\(86\) −5.07267 22.2248i −0.547000 2.39656i
\(87\) 3.95858 + 4.96391i 0.424405 + 0.532187i
\(88\) 16.0166 + 7.71319i 1.70738 + 0.822229i
\(89\) 0.566938 0.710918i 0.0600954 0.0753572i −0.750875 0.660444i \(-0.770368\pi\)
0.810971 + 0.585087i \(0.198940\pi\)
\(90\) −36.1468 + 17.4074i −3.81021 + 1.83490i
\(91\) −1.99951 + 1.73262i −0.209606 + 0.181628i
\(92\) 0.789917 + 0.380404i 0.0823545 + 0.0396598i
\(93\) −1.33843 + 0.644556i −0.138789 + 0.0668373i
\(94\) −3.27486 + 14.3481i −0.337776 + 1.47989i
\(95\) −26.3759 + 12.7020i −2.70611 + 1.30320i
\(96\) 6.18198 + 7.75196i 0.630946 + 0.791181i
\(97\) 3.36724 0.341891 0.170946 0.985280i \(-0.445318\pi\)
0.170946 + 0.985280i \(0.445318\pi\)
\(98\) 12.0834 + 12.8461i 1.22061 + 1.29765i
\(99\) 11.3703 1.14276
\(100\) 34.4776 + 43.2336i 3.44776 + 4.32336i
\(101\) −5.24109 + 2.52397i −0.521508 + 0.251145i −0.676069 0.736838i \(-0.736318\pi\)
0.154561 + 0.987983i \(0.450604\pi\)
\(102\) −1.90938 + 8.36554i −0.189057 + 0.828312i
\(103\) −1.88686 + 0.908666i −0.185918 + 0.0895335i −0.524527 0.851394i \(-0.675758\pi\)
0.338609 + 0.940927i \(0.390044\pi\)
\(104\) 5.32882 + 2.56623i 0.522534 + 0.251639i
\(105\) 23.3964 + 17.1445i 2.28326 + 1.67313i
\(106\) −5.82052 + 2.80301i −0.565339 + 0.272253i
\(107\) 2.93782 3.68391i 0.284010 0.356137i −0.619278 0.785171i \(-0.712575\pi\)
0.903288 + 0.429035i \(0.141146\pi\)
\(108\) 7.98760 + 3.84663i 0.768607 + 0.370142i
\(109\) −4.22073 5.29263i −0.404273 0.506942i 0.537467 0.843285i \(-0.319381\pi\)
−0.941740 + 0.336343i \(0.890810\pi\)
\(110\) −7.09311 31.0769i −0.676301 2.96307i
\(111\) −17.3498 21.7559i −1.64677 2.06498i
\(112\) 6.51491 15.0723i 0.615601 1.42420i
\(113\) 3.86411 4.84544i 0.363505 0.455821i −0.566123 0.824321i \(-0.691557\pi\)
0.929628 + 0.368500i \(0.120129\pi\)
\(114\) 41.1149 + 19.7999i 3.85076 + 1.85443i
\(115\) −0.188894 0.827600i −0.0176145 0.0771741i
\(116\) −10.5986 −0.984051
\(117\) 3.78298 0.349737
\(118\) 6.33165 + 27.7408i 0.582876 + 2.55375i
\(119\) 3.33888 0.906861i 0.306075 0.0831318i
\(120\) 14.4286 63.2160i 1.31715 5.77081i
\(121\) 0.437483 1.91674i 0.0397712 0.174249i
\(122\) 12.1824 15.2763i 1.10295 1.38305i
\(123\) 8.60149 10.7859i 0.775570 0.972534i
\(124\) 0.551816 2.41766i 0.0495545 0.217112i
\(125\) 7.23051 31.6789i 0.646717 2.83345i
\(126\) −1.02878 25.1956i −0.0916508 2.24460i
\(127\) 3.95471 + 17.3267i 0.350924 + 1.53750i 0.775053 + 0.631896i \(0.217723\pi\)
−0.424130 + 0.905602i \(0.639420\pi\)
\(128\) 14.7209 1.30116
\(129\) 23.5653 2.07481
\(130\) −2.35992 10.3395i −0.206979 0.906833i
\(131\) 0.738371 + 0.355581i 0.0645118 + 0.0310672i 0.465861 0.884858i \(-0.345745\pi\)
−0.401350 + 0.915925i \(0.631459\pi\)
\(132\) −21.2190 + 26.6078i −1.84688 + 2.31591i
\(133\) −0.750687 18.3849i −0.0650928 1.59418i
\(134\) 8.85766 + 11.1072i 0.765185 + 0.959512i
\(135\) −1.91009 8.36865i −0.164394 0.720259i
\(136\) −4.82235 6.04703i −0.413513 0.518529i
\(137\) 6.93036 + 3.33749i 0.592101 + 0.285141i 0.705841 0.708370i \(-0.250569\pi\)
−0.113741 + 0.993510i \(0.536283\pi\)
\(138\) −0.825028 + 1.03455i −0.0702310 + 0.0880669i
\(139\) 6.20597 2.98864i 0.526383 0.253493i −0.151767 0.988416i \(-0.548496\pi\)
0.678150 + 0.734923i \(0.262782\pi\)
\(140\) −46.7264 + 12.6912i −3.94910 + 1.07260i
\(141\) −13.7069 6.60088i −1.15433 0.555895i
\(142\) 29.2133 14.0684i 2.45152 1.18059i
\(143\) −0.668821 + 2.93030i −0.0559297 + 0.245044i
\(144\) −21.1529 + 10.1867i −1.76274 + 0.848891i
\(145\) 6.39812 + 8.02299i 0.531335 + 0.666273i
\(146\) 21.2506 1.75872
\(147\) −15.7259 + 9.22289i −1.29705 + 0.760691i
\(148\) 46.4516 3.81829
\(149\) 2.39288 + 3.00058i 0.196032 + 0.245817i 0.870126 0.492829i \(-0.164037\pi\)
−0.674094 + 0.738646i \(0.735466\pi\)
\(150\) −75.1944 + 36.2117i −6.13960 + 2.95667i
\(151\) 2.32783 10.1989i 0.189436 0.829975i −0.787478 0.616343i \(-0.788614\pi\)
0.976914 0.213632i \(-0.0685294\pi\)
\(152\) −37.0601 + 17.8472i −3.00597 + 1.44760i
\(153\) −4.45709 2.14642i −0.360334 0.173528i
\(154\) 19.6984 + 3.65763i 1.58734 + 0.294740i
\(155\) −2.16326 + 1.04177i −0.173757 + 0.0836772i
\(156\) −7.05969 + 8.85258i −0.565228 + 0.708773i
\(157\) 14.8385 + 7.14586i 1.18424 + 0.570302i 0.919145 0.393920i \(-0.128881\pi\)
0.265099 + 0.964221i \(0.414595\pi\)
\(158\) 25.6067 + 32.1098i 2.03716 + 2.55452i
\(159\) −1.48604 6.51075i −0.117850 0.516336i
\(160\) 9.99172 + 12.5292i 0.789915 + 0.990522i
\(161\) 0.524582 + 0.0974052i 0.0413429 + 0.00767660i
\(162\) 9.48477 11.8935i 0.745194 0.934443i
\(163\) −16.9401 8.15794i −1.32685 0.638979i −0.369860 0.929087i \(-0.620594\pi\)
−0.956994 + 0.290108i \(0.906309\pi\)
\(164\) 5.12449 + 22.4519i 0.400156 + 1.75320i
\(165\) 32.9513 2.56525
\(166\) 10.7913 0.837565
\(167\) 2.28549 + 10.0134i 0.176857 + 0.774861i 0.983069 + 0.183234i \(0.0586567\pi\)
−0.806212 + 0.591626i \(0.798486\pi\)
\(168\) 32.8737 + 24.0892i 2.53626 + 1.85852i
\(169\) −0.222521 + 0.974928i −0.0171170 + 0.0749945i
\(170\) −3.08606 + 13.5209i −0.236690 + 1.03701i
\(171\) −16.4036 + 20.5694i −1.25441 + 1.57298i
\(172\) −24.5266 + 30.7554i −1.87014 + 2.34508i
\(173\) −2.20589 + 9.66465i −0.167711 + 0.734790i 0.819198 + 0.573511i \(0.194419\pi\)
−0.986909 + 0.161279i \(0.948438\pi\)
\(174\) 3.55947 15.5950i 0.269843 1.18226i
\(175\) 27.1443 + 19.8908i 2.05191 + 1.50360i
\(176\) −4.15084 18.1860i −0.312881 1.37082i
\(177\) −29.4139 −2.21089
\(178\) −2.29092 −0.171712
\(179\) −0.380027 1.66501i −0.0284045 0.124448i 0.958738 0.284291i \(-0.0917583\pi\)
−0.987142 + 0.159843i \(0.948901\pi\)
\(180\) 62.3753 + 30.0384i 4.64918 + 2.23893i
\(181\) 4.94258 6.19780i 0.367379 0.460679i −0.563441 0.826156i \(-0.690523\pi\)
0.930820 + 0.365477i \(0.119094\pi\)
\(182\) 6.55378 + 1.21692i 0.485799 + 0.0902038i
\(183\) 12.5933 + 15.7915i 0.930926 + 1.16734i
\(184\) −0.265410 1.16284i −0.0195663 0.0857256i
\(185\) −28.0418 35.1633i −2.06168 2.58526i
\(186\) 3.37210 + 1.62392i 0.247254 + 0.119071i
\(187\) 2.45062 3.07298i 0.179207 0.224719i
\(188\) 22.8810 11.0189i 1.66877 0.803635i
\(189\) 5.30455 + 0.984957i 0.385850 + 0.0716451i
\(190\) 66.4525 + 32.0018i 4.82097 + 2.32166i
\(191\) −5.10574 + 2.45879i −0.369438 + 0.177912i −0.609386 0.792874i \(-0.708584\pi\)
0.239948 + 0.970786i \(0.422870\pi\)
\(192\) −1.63475 + 7.16231i −0.117978 + 0.516896i
\(193\) −9.81693 + 4.72758i −0.706638 + 0.340299i −0.752448 0.658651i \(-0.771127\pi\)
0.0458103 + 0.998950i \(0.485413\pi\)
\(194\) −5.28941 6.63270i −0.379757 0.476200i
\(195\) 10.9631 0.785083
\(196\) 4.33052 30.1233i 0.309323 2.15166i
\(197\) −17.8496 −1.27173 −0.635865 0.771800i \(-0.719357\pi\)
−0.635865 + 0.771800i \(0.719357\pi\)
\(198\) −17.8610 22.3970i −1.26933 1.59169i
\(199\) 12.5419 6.03985i 0.889070 0.428154i 0.0671413 0.997743i \(-0.478612\pi\)
0.821929 + 0.569590i \(0.192898\pi\)
\(200\) 16.7400 73.3425i 1.18369 5.18610i
\(201\) −13.2314 + 6.37191i −0.933272 + 0.449440i
\(202\) 13.2046 + 6.35900i 0.929072 + 0.447417i
\(203\) −6.22435 + 1.69057i −0.436863 + 0.118655i
\(204\) 13.3406 6.42447i 0.934026 0.449803i
\(205\) 13.9023 17.4329i 0.970977 1.21757i
\(206\) 4.75384 + 2.28933i 0.331215 + 0.159505i
\(207\) −0.475651 0.596448i −0.0330600 0.0414560i
\(208\) −1.38101 6.05060i −0.0957558 0.419534i
\(209\) −13.0330 16.3428i −0.901510 1.13046i
\(210\) −2.98140 73.0170i −0.205736 5.03865i
\(211\) 11.3032 14.1738i 0.778144 0.975761i −0.221856 0.975079i \(-0.571211\pi\)
1.00000 0.000681976i \(-0.000217080\pi\)
\(212\) 10.0439 + 4.83691i 0.689821 + 0.332200i
\(213\) 7.45843 + 32.6775i 0.511043 + 2.23903i
\(214\) −11.8713 −0.811507
\(215\) 38.0877 2.59756
\(216\) −2.68382 11.7586i −0.182611 0.800069i
\(217\) −0.0615688 1.50787i −0.00417956 0.102361i
\(218\) −3.79519 + 16.6278i −0.257043 + 1.12618i
\(219\) −4.88821 + 21.4166i −0.330314 + 1.44720i
\(220\) −34.2955 + 43.0052i −2.31220 + 2.89941i
\(221\) 0.815337 1.02240i 0.0548455 0.0687740i
\(222\) −15.6005 + 68.3503i −1.04704 + 4.58737i
\(223\) −0.577319 + 2.52940i −0.0386601 + 0.169381i −0.990573 0.136989i \(-0.956257\pi\)
0.951912 + 0.306370i \(0.0991146\pi\)
\(224\) −9.72034 + 2.64011i −0.649468 + 0.176400i
\(225\) −10.7070 46.9103i −0.713798 3.12735i
\(226\) −15.6144 −1.03865
\(227\) 0.658859 0.0437300 0.0218650 0.999761i \(-0.493040\pi\)
0.0218650 + 0.999761i \(0.493040\pi\)
\(228\) −17.5228 76.7722i −1.16047 5.08437i
\(229\) 19.4201 + 9.35223i 1.28332 + 0.618012i 0.946240 0.323465i \(-0.104848\pi\)
0.337076 + 0.941477i \(0.390562\pi\)
\(230\) −1.33346 + 1.67211i −0.0879260 + 0.110256i
\(231\) −8.21735 + 19.0109i −0.540662 + 1.25083i
\(232\) 8.98983 + 11.2729i 0.590211 + 0.740101i
\(233\) −0.447781 1.96186i −0.0293351 0.128526i 0.958140 0.286300i \(-0.0924253\pi\)
−0.987475 + 0.157774i \(0.949568\pi\)
\(234\) −5.94247 7.45162i −0.388471 0.487128i
\(235\) −22.1539 10.6688i −1.44516 0.695954i
\(236\) 30.6139 38.3886i 1.99279 2.49888i
\(237\) −38.2508 + 18.4206i −2.48466 + 1.19655i
\(238\) −7.03117 5.15231i −0.455763 0.333975i
\(239\) −17.6114 8.48122i −1.13919 0.548604i −0.233420 0.972376i \(-0.574992\pi\)
−0.905769 + 0.423772i \(0.860706\pi\)
\(240\) −61.3012 + 29.5211i −3.95697 + 1.90558i
\(241\) −3.82922 + 16.7769i −0.246662 + 1.08070i 0.688155 + 0.725564i \(0.258421\pi\)
−0.934816 + 0.355131i \(0.884436\pi\)
\(242\) −4.46277 + 2.14915i −0.286877 + 0.138153i
\(243\) 13.6189 + 17.0776i 0.873655 + 1.09553i
\(244\) −33.7169 −2.15850
\(245\) −25.4172 + 14.9066i −1.62385 + 0.952350i
\(246\) −34.7574 −2.21605
\(247\) −4.33615 5.43736i −0.275903 0.345971i
\(248\) −3.03954 + 1.46377i −0.193011 + 0.0929493i
\(249\) −2.48228 + 10.8756i −0.157308 + 0.689211i
\(250\) −73.7584 + 35.5202i −4.66489 + 2.24649i
\(251\) 5.90261 + 2.84254i 0.372569 + 0.179420i 0.610793 0.791790i \(-0.290851\pi\)
−0.238224 + 0.971210i \(0.576565\pi\)
\(252\) −32.8854 + 28.4959i −2.07159 + 1.79507i
\(253\) 0.546103 0.262989i 0.0343332 0.0165340i
\(254\) 27.9175 35.0075i 1.75170 2.19656i
\(255\) −12.9167 6.22034i −0.808873 0.389533i
\(256\) −19.6068 24.5861i −1.22542 1.53663i
\(257\) 2.29089 + 10.0370i 0.142902 + 0.626094i 0.994753 + 0.102309i \(0.0326231\pi\)
−0.851851 + 0.523784i \(0.824520\pi\)
\(258\) −37.0173 46.4183i −2.30460 2.88988i
\(259\) 27.2802 7.40947i 1.69511 0.460402i
\(260\) −11.4103 + 14.3081i −0.707639 + 0.887351i
\(261\) 8.30891 + 4.00136i 0.514309 + 0.247678i
\(262\) −0.459451 2.01299i −0.0283850 0.124363i
\(263\) 30.5845 1.88592 0.942960 0.332906i \(-0.108029\pi\)
0.942960 + 0.332906i \(0.108029\pi\)
\(264\) 46.2989 2.84950
\(265\) −2.40183 10.5231i −0.147543 0.646428i
\(266\) −35.0350 + 30.3586i −2.14813 + 1.86140i
\(267\) 0.526972 2.30882i 0.0322502 0.141297i
\(268\) 5.45511 23.9004i 0.333224 1.45995i
\(269\) 5.94502 7.45481i 0.362474 0.454528i −0.566835 0.823831i \(-0.691832\pi\)
0.929309 + 0.369303i \(0.120404\pi\)
\(270\) −13.4839 + 16.9083i −0.820605 + 1.02901i
\(271\) 2.60858 11.4289i 0.158460 0.694258i −0.831806 0.555067i \(-0.812693\pi\)
0.990266 0.139191i \(-0.0444502\pi\)
\(272\) −1.80594 + 7.91236i −0.109501 + 0.479757i
\(273\) −2.73396 + 6.32505i −0.165467 + 0.382810i
\(274\) −4.31241 18.8939i −0.260522 1.14142i
\(275\) 38.2297 2.30534
\(276\) 2.28340 0.137444
\(277\) −3.96847 17.3870i −0.238442 1.04468i −0.942412 0.334454i \(-0.891448\pi\)
0.703970 0.710230i \(-0.251409\pi\)
\(278\) −15.6356 7.52968i −0.937758 0.451600i
\(279\) −1.34536 + 1.68703i −0.0805449 + 0.101000i
\(280\) 53.1326 + 38.9345i 3.17528 + 2.32678i
\(281\) −19.1781 24.0486i −1.14407 1.43462i −0.883045 0.469288i \(-0.844511\pi\)
−0.261026 0.965332i \(-0.584061\pi\)
\(282\) 8.52910 + 37.3684i 0.507900 + 2.22526i
\(283\) 6.54358 + 8.20539i 0.388976 + 0.487760i 0.937309 0.348500i \(-0.113309\pi\)
−0.548333 + 0.836260i \(0.684737\pi\)
\(284\) −50.4107 24.2765i −2.99132 1.44055i
\(285\) −47.5376 + 59.6103i −2.81589 + 3.53101i
\(286\) 6.82264 3.28561i 0.403431 0.194282i
\(287\) 6.59082 + 12.3682i 0.389044 + 0.730071i
\(288\) 12.9757 + 6.24878i 0.764603 + 0.368213i
\(289\) 13.7757 6.63405i 0.810338 0.390238i
\(290\) 5.75304 25.2057i 0.337830 1.48013i
\(291\) 7.90122 3.80502i 0.463177 0.223055i
\(292\) −22.8636 28.6700i −1.33799 1.67779i
\(293\) 22.7283 1.32780 0.663902 0.747820i \(-0.268899\pi\)
0.663902 + 0.747820i \(0.268899\pi\)
\(294\) 42.8700 + 16.4888i 2.50023 + 0.961647i
\(295\) −47.5407 −2.76792
\(296\) −39.4008 49.4070i −2.29012 2.87173i
\(297\) 5.52217 2.65933i 0.320429 0.154310i
\(298\) 2.15162 9.42687i 0.124640 0.546084i
\(299\) 0.181692 0.0874981i 0.0105075 0.00506015i
\(300\) 129.756 + 62.4873i 7.49148 + 3.60770i
\(301\) −9.49827 + 21.9743i −0.547471 + 1.26658i
\(302\) −23.7462 + 11.4356i −1.36644 + 0.658043i
\(303\) −9.44607 + 11.8450i −0.542663 + 0.680477i
\(304\) 38.8876 + 18.7273i 2.23036 + 1.07408i
\(305\) 20.3542 + 25.5233i 1.16548 + 1.46146i
\(306\) 2.77342 + 12.1512i 0.158546 + 0.694635i
\(307\) 1.81389 + 2.27454i 0.103524 + 0.129815i 0.830895 0.556430i \(-0.187829\pi\)
−0.727371 + 0.686245i \(0.759258\pi\)
\(308\) −16.2589 30.5111i −0.926436 1.73853i
\(309\) −3.40072 + 4.26436i −0.193460 + 0.242591i
\(310\) 5.45021 + 2.62468i 0.309551 + 0.149072i
\(311\) 1.68964 + 7.40280i 0.0958108 + 0.419774i 0.999973 0.00741587i \(-0.00236057\pi\)
−0.904162 + 0.427190i \(0.859503\pi\)
\(312\) 15.4039 0.872076
\(313\) −29.9796 −1.69455 −0.847274 0.531157i \(-0.821758\pi\)
−0.847274 + 0.531157i \(0.821758\pi\)
\(314\) −9.23327 40.4536i −0.521064 2.28293i
\(315\) 41.4233 + 7.69154i 2.33394 + 0.433369i
\(316\) 15.7702 69.0939i 0.887145 3.88683i
\(317\) −1.89015 + 8.28129i −0.106161 + 0.465124i 0.893703 + 0.448659i \(0.148098\pi\)
−0.999864 + 0.0164646i \(0.994759\pi\)
\(318\) −10.4904 + 13.1545i −0.588272 + 0.737669i
\(319\) −4.56845 + 5.72866i −0.255784 + 0.320743i
\(320\) −2.64219 + 11.5762i −0.147703 + 0.647129i
\(321\) 2.73072 11.9641i 0.152414 0.667768i
\(322\) −0.632171 1.18632i −0.0352295 0.0661109i
\(323\) 2.02373 + 8.86656i 0.112604 + 0.493349i
\(324\) −26.2506 −1.45837
\(325\) 12.7193 0.705537
\(326\) 10.5410 + 46.1831i 0.583812 + 2.55785i
\(327\) −15.8847 7.64966i −0.878425 0.423027i
\(328\) 19.5337 24.4945i 1.07857 1.35248i
\(329\) 11.6800 10.1209i 0.643938 0.557985i
\(330\) −51.7613 64.9066i −2.84937 3.57299i
\(331\) −3.30852 14.4956i −0.181853 0.796748i −0.980748 0.195278i \(-0.937439\pi\)
0.798895 0.601470i \(-0.205418\pi\)
\(332\) −11.6103 14.5589i −0.637200 0.799023i
\(333\) −36.4165 17.5372i −1.99561 0.961035i
\(334\) 16.1340 20.2314i 0.882814 1.10701i
\(335\) −21.3855 + 10.2987i −1.16841 + 0.562678i
\(336\) −1.74470 42.7291i −0.0951811 2.33106i
\(337\) −17.9891 8.66308i −0.979927 0.471908i −0.125847 0.992050i \(-0.540165\pi\)
−0.854080 + 0.520142i \(0.825879\pi\)
\(338\) 2.26994 1.09314i 0.123468 0.0594591i
\(339\) 3.59171 15.7363i 0.195075 0.854680i
\(340\) 21.5619 10.3836i 1.16936 0.563132i
\(341\) −1.06892 1.34038i −0.0578853 0.0725859i
\(342\) 66.2846 3.58426
\(343\) −2.26172 18.3816i −0.122121 0.992515i
\(344\) 53.5160 2.88539
\(345\) −1.37844 1.72851i −0.0742127 0.0930597i
\(346\) 22.5023 10.8365i 1.20973 0.582576i
\(347\) −0.868451 + 3.80493i −0.0466209 + 0.204259i −0.992874 0.119167i \(-0.961978\pi\)
0.946253 + 0.323426i \(0.104835\pi\)
\(348\) −24.8695 + 11.9765i −1.33314 + 0.642008i
\(349\) −22.9959 11.0743i −1.23094 0.592792i −0.298605 0.954377i \(-0.596521\pi\)
−0.932339 + 0.361585i \(0.882236\pi\)
\(350\) −3.45899 84.7135i −0.184891 4.52813i
\(351\) 1.83726 0.884777i 0.0980656 0.0472259i
\(352\) −7.13439 + 8.94624i −0.380264 + 0.476836i
\(353\) 18.8549 + 9.08006i 1.00355 + 0.483283i 0.862141 0.506669i \(-0.169123\pi\)
0.141407 + 0.989952i \(0.454837\pi\)
\(354\) 46.2047 + 57.9388i 2.45575 + 3.07941i
\(355\) 12.0548 + 52.8155i 0.639802 + 2.80316i
\(356\) 2.46480 + 3.09076i 0.130634 + 0.163810i
\(357\) 6.80991 5.90093i 0.360419 0.312310i
\(358\) −2.68272 + 3.36403i −0.141786 + 0.177795i
\(359\) 14.2090 + 6.84272i 0.749925 + 0.361145i 0.769486 0.638664i \(-0.220513\pi\)
−0.0195610 + 0.999809i \(0.506227\pi\)
\(360\) −20.9580 91.8229i −1.10458 4.83949i
\(361\) 29.3671 1.54564
\(362\) −19.9723 −1.04972
\(363\) −1.13939 4.99199i −0.0598024 0.262011i
\(364\) −5.40943 10.1512i −0.283531 0.532069i
\(365\) −7.90064 + 34.6150i −0.413538 + 1.81183i
\(366\) 11.3236 49.6121i 0.591896 2.59326i
\(367\) 2.09447 2.62639i 0.109331 0.137096i −0.724155 0.689637i \(-0.757770\pi\)
0.833486 + 0.552541i \(0.186342\pi\)
\(368\) −0.780334 + 0.978508i −0.0406777 + 0.0510083i
\(369\) 4.45901 19.5362i 0.232127 1.01701i
\(370\) −25.2146 + 110.472i −1.31084 + 5.74318i
\(371\) 6.67017 + 1.23853i 0.346298 + 0.0643011i
\(372\) −1.43716 6.29660i −0.0745131 0.326463i
\(373\) −9.84224 −0.509612 −0.254806 0.966992i \(-0.582012\pi\)
−0.254806 + 0.966992i \(0.582012\pi\)
\(374\) −9.90263 −0.512053
\(375\) −18.8313 82.5051i −0.972442 4.26055i
\(376\) −31.1279 14.9904i −1.60530 0.773071i
\(377\) −1.51995 + 1.90596i −0.0782815 + 0.0981619i
\(378\) −6.39248 11.9960i −0.328794 0.617007i
\(379\) 1.25623 + 1.57527i 0.0645284 + 0.0809161i 0.813048 0.582196i \(-0.197807\pi\)
−0.748520 + 0.663112i \(0.769235\pi\)
\(380\) −28.3214 124.084i −1.45286 6.36539i
\(381\) 28.8591 + 36.1882i 1.47850 + 1.85398i
\(382\) 12.8636 + 6.19478i 0.658159 + 0.316953i
\(383\) 15.6516 19.6265i 0.799762 1.00287i −0.199972 0.979802i \(-0.564085\pi\)
0.999734 0.0230678i \(-0.00734337\pi\)
\(384\) 34.5425 16.6348i 1.76274 0.848892i
\(385\) −13.2814 + 30.7267i −0.676884 + 1.56598i
\(386\) 24.7331 + 11.9109i 1.25888 + 0.606247i
\(387\) 30.8394 14.8515i 1.56765 0.754942i
\(388\) −3.25755 + 14.2723i −0.165377 + 0.724564i
\(389\) −3.84743 + 1.85283i −0.195072 + 0.0939420i −0.528870 0.848703i \(-0.677384\pi\)
0.333798 + 0.942645i \(0.391670\pi\)
\(390\) −17.2213 21.5948i −0.872034 1.09350i
\(391\) −0.263714 −0.0133366
\(392\) −35.7131 + 20.9449i −1.80378 + 1.05788i
\(393\) 2.13440 0.107666
\(394\) 28.0389 + 35.1597i 1.41258 + 1.77132i
\(395\) −61.8235 + 29.7726i −3.11068 + 1.49802i
\(396\) −10.9999 + 48.1939i −0.552768 + 2.42183i
\(397\) 3.63408 1.75008i 0.182389 0.0878341i −0.340461 0.940259i \(-0.610583\pi\)
0.522850 + 0.852425i \(0.324869\pi\)
\(398\) −31.5985 15.2170i −1.58389 0.762761i
\(399\) −22.5367 42.2919i −1.12825 2.11725i
\(400\) −71.1209 + 34.2500i −3.55605 + 1.71250i
\(401\) 3.93768 4.93769i 0.196638 0.246576i −0.673730 0.738977i \(-0.735309\pi\)
0.870369 + 0.492401i \(0.163881\pi\)
\(402\) 33.3357 + 16.0536i 1.66263 + 0.800682i
\(403\) −0.355636 0.445954i −0.0177155 0.0222145i
\(404\) −5.62767 24.6564i −0.279987 1.22670i
\(405\) 15.8469 + 19.8714i 0.787441 + 0.987420i
\(406\) 13.1075 + 9.60494i 0.650515 + 0.476685i
\(407\) 20.0227 25.1077i 0.992488 1.24454i
\(408\) −18.1489 8.74003i −0.898502 0.432696i
\(409\) −7.77727 34.0744i −0.384561 1.68487i −0.682980 0.730437i \(-0.739316\pi\)
0.298419 0.954435i \(-0.403541\pi\)
\(410\) −56.1772 −2.77440
\(411\) 20.0335 0.988178
\(412\) −2.02604 8.87666i −0.0998158 0.437322i
\(413\) 11.8556 27.4281i 0.583378 1.34965i
\(414\) −0.427695 + 1.87385i −0.0210200 + 0.0920948i
\(415\) −4.01202 + 17.5778i −0.196942 + 0.862860i
\(416\) −2.37366 + 2.97647i −0.116378 + 0.145933i
\(417\) 11.1851 14.0257i 0.547736 0.686839i
\(418\) −11.7190 + 51.3441i −0.573193 + 2.51132i
\(419\) −0.265628 + 1.16379i −0.0129768 + 0.0568549i −0.981002 0.193999i \(-0.937854\pi\)
0.968025 + 0.250854i \(0.0807113\pi\)
\(420\) −95.3022 + 82.5813i −4.65027 + 4.02956i
\(421\) 8.45838 + 37.0586i 0.412236 + 1.80613i 0.573490 + 0.819213i \(0.305589\pi\)
−0.161253 + 0.986913i \(0.551554\pi\)
\(422\) −45.6747 −2.22341
\(423\) −22.0980 −1.07444
\(424\) −3.37474 14.7857i −0.163892 0.718058i
\(425\) −14.9858 7.21677i −0.726917 0.350065i
\(426\) 52.6514 66.0227i 2.55097 3.19881i
\(427\) −19.8013 + 5.37817i −0.958253 + 0.260268i
\(428\) 12.7724 + 16.0160i 0.617375 + 0.774164i
\(429\) 1.74189 + 7.63171i 0.0840992 + 0.368463i
\(430\) −59.8298 75.0242i −2.88525 3.61799i
\(431\) 20.2279 + 9.74123i 0.974342 + 0.469219i 0.852156 0.523289i \(-0.175295\pi\)
0.122187 + 0.992507i \(0.461009\pi\)
\(432\) −7.89070 + 9.89463i −0.379642 + 0.476056i
\(433\) −6.22735 + 2.99893i −0.299267 + 0.144119i −0.577492 0.816397i \(-0.695968\pi\)
0.278224 + 0.960516i \(0.410254\pi\)
\(434\) −2.87345 + 2.48991i −0.137930 + 0.119519i
\(435\) 24.0793 + 11.5960i 1.15451 + 0.555984i
\(436\) 26.5164 12.7696i 1.26991 0.611554i
\(437\) −0.312084 + 1.36733i −0.0149290 + 0.0654082i
\(438\) 49.8646 24.0135i 2.38262 1.14741i
\(439\) −12.4367 15.5952i −0.593574 0.744318i 0.390787 0.920481i \(-0.372203\pi\)
−0.984361 + 0.176163i \(0.943631\pi\)
\(440\) 74.8314 3.56744
\(441\) −14.7677 + 21.9807i −0.703223 + 1.04670i
\(442\) −3.29466 −0.156711
\(443\) 5.92371 + 7.42810i 0.281444 + 0.352920i 0.902380 0.430942i \(-0.141819\pi\)
−0.620936 + 0.783862i \(0.713247\pi\)
\(444\) 108.998 52.4909i 5.17284 2.49111i
\(445\) 0.851726 3.73166i 0.0403757 0.176898i
\(446\) 5.88923 2.83610i 0.278863 0.134293i
\(447\) 9.00557 + 4.33686i 0.425949 + 0.205126i
\(448\) −6.01987 4.41125i −0.284412 0.208412i
\(449\) −9.41395 + 4.53352i −0.444272 + 0.213950i −0.642625 0.766180i \(-0.722155\pi\)
0.198354 + 0.980131i \(0.436441\pi\)
\(450\) −75.5838 + 94.7791i −3.56305 + 4.46793i
\(451\) 14.3444 + 6.90791i 0.675452 + 0.325281i
\(452\) 16.7995 + 21.0659i 0.790181 + 0.990856i
\(453\) −6.06264 26.5622i −0.284848 1.24800i
\(454\) −1.03496 1.29780i −0.0485733 0.0609090i
\(455\) −4.41881 + 10.2230i −0.207157 + 0.479260i
\(456\) −66.7938 + 83.7568i −3.12791 + 3.92227i
\(457\) −4.81903 2.32072i −0.225425 0.108559i 0.317763 0.948170i \(-0.397068\pi\)
−0.543187 + 0.839611i \(0.682783\pi\)
\(458\) −12.0842 52.9441i −0.564655 2.47392i
\(459\) −2.66666 −0.124469
\(460\) 3.69058 0.172074
\(461\) 3.48253 + 15.2579i 0.162197 + 0.710634i 0.988972 + 0.148101i \(0.0473159\pi\)
−0.826775 + 0.562533i \(0.809827\pi\)
\(462\) 50.3555 13.6769i 2.34275 0.636305i
\(463\) −3.39920 + 14.8929i −0.157974 + 0.692130i 0.832453 + 0.554095i \(0.186936\pi\)
−0.990427 + 0.138035i \(0.955921\pi\)
\(464\) 3.36664 14.7502i 0.156293 0.684762i
\(465\) −3.89887 + 4.88903i −0.180806 + 0.226723i
\(466\) −3.16102 + 3.96380i −0.146432 + 0.183619i
\(467\) −8.48888 + 37.1922i −0.392818 + 1.72105i 0.261828 + 0.965114i \(0.415675\pi\)
−0.654647 + 0.755935i \(0.727183\pi\)
\(468\) −3.65975 + 16.0344i −0.169172 + 0.741190i
\(469\) −0.608653 14.9064i −0.0281050 0.688314i
\(470\) 13.7853 + 60.3973i 0.635868 + 2.78592i
\(471\) 42.8935 1.97643
\(472\) −66.7981 −3.07463
\(473\) 6.05163 + 26.5139i 0.278254 + 1.21911i
\(474\) 96.3706 + 46.4096i 4.42645 + 2.13166i
\(475\) −55.1526 + 69.1592i −2.53058 + 3.17324i
\(476\) 0.613674 + 15.0294i 0.0281277 + 0.688871i
\(477\) −6.04800 7.58395i −0.276919 0.347245i
\(478\) 10.9587 + 48.0132i 0.501240 + 2.19607i
\(479\) 2.66541 + 3.34232i 0.121786 + 0.152715i 0.838987 0.544152i \(-0.183148\pi\)
−0.717201 + 0.696866i \(0.754577\pi\)
\(480\) 37.6037 + 18.1090i 1.71637 + 0.826559i
\(481\) 6.66167 8.35348i 0.303746 0.380886i
\(482\) 39.0618 18.8112i 1.77922 0.856826i
\(483\) 1.34100 0.364224i 0.0610176 0.0165728i
\(484\) 7.70099 + 3.70860i 0.350045 + 0.168573i
\(485\) 12.7705 6.14993i 0.579877 0.279254i
\(486\) 12.2458 53.6525i 0.555482 2.43373i
\(487\) 3.31353 1.59571i 0.150150 0.0723086i −0.357300 0.933990i \(-0.616302\pi\)
0.507450 + 0.861681i \(0.330588\pi\)
\(488\) 28.5991 + 35.8621i 1.29462 + 1.62340i
\(489\) −48.9686 −2.21444
\(490\) 69.2892 + 26.6503i 3.13017 + 1.20394i
\(491\) −16.2397 −0.732887 −0.366443 0.930440i \(-0.619425\pi\)
−0.366443 + 0.930440i \(0.619425\pi\)
\(492\) 37.3955 + 46.8925i 1.68592 + 2.11408i
\(493\) 2.87222 1.38319i 0.129358 0.0622957i
\(494\) −3.89897 + 17.0825i −0.175423 + 0.768578i
\(495\) 43.1227 20.7668i 1.93822 0.933398i
\(496\) 3.18943 + 1.53595i 0.143209 + 0.0689661i
\(497\) −33.4776 6.21618i −1.50168 0.278834i
\(498\) 25.3217 12.1943i 1.13469 0.546439i
\(499\) 0.0189150 0.0237186i 0.000846750 0.00106179i −0.781408 0.624021i \(-0.785498\pi\)
0.782255 + 0.622959i \(0.214070\pi\)
\(500\) 127.278 + 61.2940i 5.69206 + 2.74115i
\(501\) 16.6782 + 20.9138i 0.745127 + 0.934359i
\(502\) −3.67289 16.0920i −0.163929 0.718221i
\(503\) 12.0970 + 15.1691i 0.539377 + 0.676358i 0.974597 0.223967i \(-0.0719006\pi\)
−0.435219 + 0.900324i \(0.643329\pi\)
\(504\) 58.2028 + 10.8072i 2.59256 + 0.481390i
\(505\) −15.2674 + 19.1447i −0.679388 + 0.851926i
\(506\) −1.37587 0.662585i −0.0611650 0.0294555i
\(507\) 0.579537 + 2.53912i 0.0257381 + 0.112766i
\(508\) −77.2663 −3.42814
\(509\) 24.6422 1.09225 0.546124 0.837704i \(-0.316103\pi\)
0.546124 + 0.837704i \(0.316103\pi\)
\(510\) 8.03739 + 35.2141i 0.355902 + 1.55931i
\(511\) −18.0005 13.1904i −0.796296 0.583511i
\(512\) −11.0785 + 48.5382i −0.489607 + 2.14511i
\(513\) −3.15578 + 13.8264i −0.139331 + 0.610449i
\(514\) 16.1721 20.2792i 0.713321 0.894476i
\(515\) −5.49646 + 6.89234i −0.242203 + 0.303713i
\(516\) −22.7976 + 99.8829i −1.00361 + 4.39710i
\(517\) 3.90687 17.1171i 0.171824 0.752809i
\(518\) −57.4479 42.0967i −2.52412 1.84962i
\(519\) 5.74506 + 25.1708i 0.252180 + 1.10487i
\(520\) 24.8968 1.09180
\(521\) −29.8533 −1.30790 −0.653948 0.756539i \(-0.726889\pi\)
−0.653948 + 0.756539i \(0.726889\pi\)
\(522\) −5.17022 22.6522i −0.226294 0.991460i
\(523\) −8.36985 4.03071i −0.365988 0.176250i 0.241846 0.970315i \(-0.422247\pi\)
−0.607834 + 0.794064i \(0.707961\pi\)
\(524\) −2.22147 + 2.78564i −0.0970454 + 0.121691i
\(525\) 86.1709 + 16.0003i 3.76080 + 0.698311i
\(526\) −48.0435 60.2446i −2.09479 2.62679i
\(527\) 0.165980 + 0.727205i 0.00723019 + 0.0316775i
\(528\) −30.2904 37.9829i −1.31822 1.65300i
\(529\) 20.6856 + 9.96168i 0.899376 + 0.433117i
\(530\) −16.9552 + 21.2612i −0.736489 + 0.923527i
\(531\) −38.4934 + 18.5374i −1.67047 + 0.804457i
\(532\) 78.6520 + 14.6042i 3.41000 + 0.633173i
\(533\) 4.77248 + 2.29830i 0.206719 + 0.0995506i
\(534\) −5.37564 + 2.58877i −0.232627 + 0.112027i
\(535\) 4.41356 19.3371i 0.190815 0.836015i
\(536\) −30.0481 + 14.4704i −1.29788 + 0.625027i
\(537\) −2.77321 3.47749i −0.119673 0.150065i
\(538\) −24.0230 −1.03571
\(539\) −14.4154 15.3252i −0.620914 0.660102i
\(540\) 37.3189 1.60595
\(541\) −19.6136 24.5946i −0.843252 1.05741i −0.997590 0.0693869i \(-0.977896\pi\)
0.154337 0.988018i \(-0.450676\pi\)
\(542\) −26.6101 + 12.8147i −1.14300 + 0.550440i
\(543\) 4.59415 20.1283i 0.197154 0.863788i
\(544\) 4.48545 2.16008i 0.192312 0.0926125i
\(545\) −25.6739 12.3639i −1.09975 0.529610i
\(546\) 16.7536 4.55037i 0.716986 0.194738i
\(547\) 34.4564 16.5933i 1.47325 0.709479i 0.486793 0.873517i \(-0.338166\pi\)
0.986454 + 0.164039i \(0.0524522\pi\)
\(548\) −20.8507 + 26.1460i −0.890700 + 1.11690i
\(549\) 26.4329 + 12.7294i 1.12813 + 0.543278i
\(550\) −60.0529 75.3039i −2.56066 3.21097i
\(551\) −3.77265 16.5291i −0.160720 0.704161i
\(552\) −1.93681 2.42868i −0.0824360 0.103371i
\(553\) −1.75956 43.0931i −0.0748242 1.83251i
\(554\) −28.0146 + 35.1293i −1.19023 + 1.49250i
\(555\) −105.535 50.8230i −4.47971 2.15732i
\(556\) 6.66372 + 29.1957i 0.282605 + 1.23817i
\(557\) −6.09082 −0.258076 −0.129038 0.991640i \(-0.541189\pi\)
−0.129038 + 0.991640i \(0.541189\pi\)
\(558\) 5.43644 0.230143
\(559\) 2.01341 + 8.82134i 0.0851583 + 0.373103i
\(560\) −2.81989 69.0615i −0.119162 2.91838i
\(561\) 2.27786 9.97998i 0.0961715 0.421355i
\(562\) −17.2445 + 75.5532i −0.727417 + 3.18702i
\(563\) −9.05305 + 11.3522i −0.381541 + 0.478437i −0.935106 0.354369i \(-0.884696\pi\)
0.553565 + 0.832806i \(0.313267\pi\)
\(564\) 41.2386 51.7116i 1.73646 2.17745i
\(565\) 5.80516 25.4341i 0.244225 1.07002i
\(566\) 5.88384 25.7788i 0.247316 1.08356i
\(567\) −15.4165 + 4.18723i −0.647434 + 0.175847i
\(568\) 16.9379 + 74.2097i 0.710697 + 3.11377i
\(569\) −30.1507 −1.26399 −0.631993 0.774974i \(-0.717763\pi\)
−0.631993 + 0.774974i \(0.717763\pi\)
\(570\) 192.093 8.04589
\(571\) 0.548586 + 2.40351i 0.0229576 + 0.100584i 0.985109 0.171933i \(-0.0550012\pi\)
−0.962151 + 0.272517i \(0.912144\pi\)
\(572\) −11.7732 5.66968i −0.492263 0.237061i
\(573\) −9.20213 + 11.5391i −0.384425 + 0.482053i
\(574\) 14.0094 32.4109i 0.584742 1.35281i
\(575\) −1.59925 2.00540i −0.0666933 0.0836308i
\(576\) 2.37452 + 10.4034i 0.0989382 + 0.433477i
\(577\) −1.98400 2.48786i −0.0825952 0.103571i 0.738817 0.673906i \(-0.235385\pi\)
−0.821412 + 0.570335i \(0.806813\pi\)
\(578\) −34.7071 16.7141i −1.44363 0.695214i
\(579\) −17.6932 + 22.1865i −0.735303 + 0.922041i
\(580\) −40.1957 + 19.3572i −1.66903 + 0.803764i
\(581\) −9.14083 6.69822i −0.379225 0.277889i
\(582\) −19.9066 9.58652i −0.825156 0.397374i
\(583\) 6.94380 3.34396i 0.287583 0.138493i
\(584\) −11.1010 + 48.6365i −0.459361 + 2.01259i
\(585\) 14.3472 6.90924i 0.593183 0.285662i
\(586\) −35.7027 44.7697i −1.47486 1.84942i
\(587\) 27.5445 1.13688 0.568442 0.822723i \(-0.307546\pi\)
0.568442 + 0.822723i \(0.307546\pi\)
\(588\) −23.8782 75.5777i −0.984719 3.11677i
\(589\) 3.96691 0.163454
\(590\) 74.6790 + 93.6445i 3.07448 + 3.85528i
\(591\) −41.8840 + 20.1703i −1.72288 + 0.829694i
\(592\) −14.7554 + 64.6476i −0.606443 + 2.65700i
\(593\) 42.7340 20.5796i 1.75488 0.845103i 0.778923 0.627120i \(-0.215766\pi\)
0.975953 0.217983i \(-0.0699478\pi\)
\(594\) −13.9128 6.70003i −0.570847 0.274906i
\(595\) 11.0066 9.53746i 0.451227 0.390998i
\(596\) −15.0331 + 7.23954i −0.615778 + 0.296543i
\(597\) 22.6044 28.3450i 0.925135 1.16008i
\(598\) −0.457761 0.220446i −0.0187192 0.00901471i
\(599\) −1.34828 1.69070i −0.0550894 0.0690800i 0.753523 0.657421i \(-0.228353\pi\)
−0.808613 + 0.588341i \(0.799781\pi\)
\(600\) −43.5978 191.014i −1.77987 7.79813i
\(601\) −2.56555 3.21710i −0.104651 0.131228i 0.726748 0.686904i \(-0.241031\pi\)
−0.831399 + 0.555676i \(0.812459\pi\)
\(602\) 58.2048 15.8088i 2.37225 0.644319i
\(603\) −13.2999 + 16.6776i −0.541615 + 0.679164i
\(604\) 40.9767 + 19.7333i 1.66732 + 0.802938i
\(605\) −1.84155 8.06837i −0.0748698 0.328026i
\(606\) 38.1703 1.55056
\(607\) −27.5664 −1.11888 −0.559442 0.828869i \(-0.688985\pi\)
−0.559442 + 0.828869i \(0.688985\pi\)
\(608\) −5.89161 25.8128i −0.238936 1.04685i
\(609\) −12.6950 + 11.0005i −0.514429 + 0.445763i
\(610\) 18.3020 80.1862i 0.741026 3.24665i
\(611\) 1.29984 5.69496i 0.0525858 0.230394i
\(612\) 13.4096 16.8152i 0.542053 0.679712i
\(613\) 20.2458 25.3875i 0.817721 1.02539i −0.181398 0.983410i \(-0.558062\pi\)
0.999118 0.0419798i \(-0.0133665\pi\)
\(614\) 1.63101 7.14590i 0.0658220 0.288385i
\(615\) 12.9222 56.6160i 0.521075 2.28298i
\(616\) −18.6614 + 43.1733i −0.751888 + 1.73950i
\(617\) −0.625835 2.74196i −0.0251952 0.110387i 0.960767 0.277358i \(-0.0894587\pi\)
−0.985962 + 0.166970i \(0.946602\pi\)
\(618\) 13.7418 0.552778
\(619\) 4.39529 0.176662 0.0883309 0.996091i \(-0.471847\pi\)
0.0883309 + 0.996091i \(0.471847\pi\)
\(620\) −2.32283 10.1770i −0.0932869 0.408717i
\(621\) −0.370506 0.178426i −0.0148679 0.00716000i
\(622\) 11.9277 14.9569i 0.478257 0.599716i
\(623\) 1.94054 + 1.42199i 0.0777462 + 0.0569709i
\(624\) −10.0778 12.6372i −0.403435 0.505891i
\(625\) −16.2848 71.3483i −0.651392 2.85393i
\(626\) 47.0933 + 59.0531i 1.88223 + 2.36024i
\(627\) −49.0495 23.6210i −1.95885 0.943331i
\(628\) −44.6433 + 55.9810i −1.78146 + 2.23388i
\(629\) −12.5884 + 6.06227i −0.501933 + 0.241718i
\(630\) −49.9190 93.6769i −1.98882 3.73218i
\(631\) −20.2975 9.77474i −0.808029 0.389126i −0.0161996 0.999869i \(-0.505157\pi\)
−0.791829 + 0.610743i \(0.790871\pi\)
\(632\) −86.8665 + 41.8327i −3.45536 + 1.66402i
\(633\) 10.5064 46.0314i 0.417591 1.82959i
\(634\) 19.2814 9.28544i 0.765763 0.368772i
\(635\) 46.6440 + 58.4897i 1.85101 + 2.32109i
\(636\) 29.0339 1.15127
\(637\) −4.79608 5.09878i −0.190028 0.202021i
\(638\) 18.4605 0.730858
\(639\) 30.3550 + 38.0639i 1.20082 + 1.50579i
\(640\) 55.8299 26.8863i 2.20687 1.06277i
\(641\) 6.42063 28.1306i 0.253600 1.11109i −0.674357 0.738405i \(-0.735579\pi\)
0.927957 0.372688i \(-0.121564\pi\)
\(642\) −27.8560 + 13.4148i −1.09939 + 0.529438i
\(643\) 3.38079 + 1.62810i 0.133325 + 0.0642060i 0.499357 0.866396i \(-0.333570\pi\)
−0.366032 + 0.930602i \(0.619284\pi\)
\(644\) −0.920352 + 2.12924i −0.0362670 + 0.0839040i
\(645\) 89.3727 43.0396i 3.51905 1.69468i
\(646\) 14.2862 17.9143i 0.562082 0.704828i
\(647\) −0.880138 0.423852i −0.0346018 0.0166633i 0.416503 0.909134i \(-0.363256\pi\)
−0.451105 + 0.892471i \(0.648970\pi\)
\(648\) 22.2661 + 27.9208i 0.874696 + 1.09683i
\(649\) −7.55358 33.0944i −0.296504 1.29907i
\(650\) −19.9800 25.0541i −0.783679 0.982702i
\(651\) −1.84839 3.46864i −0.0724439 0.135947i
\(652\) 50.9663 63.9097i 1.99599 2.50290i
\(653\) 38.0356 + 18.3170i 1.48845 + 0.716800i 0.988775 0.149413i \(-0.0477385\pi\)
0.499675 + 0.866213i \(0.333453\pi\)
\(654\) 9.88424 + 43.3057i 0.386505 + 1.69339i
\(655\) 3.44975 0.134793
\(656\) −32.8746 −1.28354
\(657\) 7.10024 + 31.1082i 0.277007 + 1.21365i
\(658\) −38.2834 7.10851i −1.49244 0.277119i
\(659\) 7.62589 33.4112i 0.297062 1.30152i −0.577416 0.816450i \(-0.695939\pi\)
0.874478 0.485065i \(-0.161204\pi\)
\(660\) −31.8779 + 139.666i −1.24084 + 5.43650i
\(661\) −9.40604 + 11.7948i −0.365853 + 0.458765i −0.930351 0.366669i \(-0.880498\pi\)
0.564499 + 0.825434i \(0.309069\pi\)
\(662\) −23.3559 + 29.2873i −0.907751 + 1.13828i
\(663\) 0.757859 3.32040i 0.0294328 0.128954i
\(664\) −5.63717 + 24.6981i −0.218765 + 0.958471i
\(665\) −36.4253 68.3550i −1.41251 2.65069i
\(666\) 22.6601 + 99.2805i 0.878062 + 3.84704i
\(667\) 0.491616 0.0190354
\(668\) −44.6535 −1.72770
\(669\) 1.50358 + 6.58760i 0.0581317 + 0.254692i
\(670\) 53.8793 + 25.9469i 2.08154 + 1.00242i
\(671\) −14.5335 + 18.2244i −0.561059 + 0.703545i
\(672\) −19.8254 + 17.1791i −0.764782 + 0.662699i
\(673\) −15.3586 19.2591i −0.592032 0.742384i 0.392081 0.919931i \(-0.371755\pi\)
−0.984112 + 0.177547i \(0.943184\pi\)
\(674\) 11.1937 + 49.0428i 0.431165 + 1.88906i
\(675\) −16.1715 20.2785i −0.622443 0.780519i
\(676\) −3.91702 1.88634i −0.150655 0.0725515i
\(677\) 10.3312 12.9550i 0.397062 0.497900i −0.542606 0.839987i \(-0.682562\pi\)
0.939668 + 0.342087i \(0.111134\pi\)
\(678\) −36.6390 + 17.6444i −1.40711 + 0.677630i
\(679\) 0.363461 + 8.90146i 0.0139484 + 0.341607i
\(680\) −29.3333 14.1262i −1.12488 0.541715i
\(681\) 1.54601 0.744519i 0.0592432 0.0285300i
\(682\) −0.961149 + 4.21107i −0.0368043 + 0.161250i
\(683\) −3.07352 + 1.48013i −0.117605 + 0.0566356i −0.491761 0.870730i \(-0.663647\pi\)
0.374156 + 0.927366i \(0.377932\pi\)
\(684\) −71.3156 89.4270i −2.72682 3.41933i
\(685\) 32.3794 1.23715
\(686\) −32.6549 + 33.3298i −1.24677 + 1.27254i
\(687\) 56.1373 2.14177
\(688\) −35.0120 43.9037i −1.33482 1.67381i
\(689\) 2.31024 1.11256i 0.0880133 0.0423850i
\(690\) −1.23946 + 5.43043i −0.0471855 + 0.206733i
\(691\) −6.48560 + 3.12330i −0.246724 + 0.118816i −0.553159 0.833075i \(-0.686578\pi\)
0.306435 + 0.951891i \(0.400864\pi\)
\(692\) −38.8302 18.6996i −1.47610 0.710854i
\(693\) 1.22732 + 30.0580i 0.0466220 + 1.14181i
\(694\) 8.85906 4.26630i 0.336285 0.161947i
\(695\) 18.0781 22.6692i 0.685740 0.859891i
\(696\) 33.8331 + 16.2932i 1.28244 + 0.617591i
\(697\) −4.31888 5.41570i −0.163589 0.205134i
\(698\) 14.3092 + 62.6928i 0.541612 + 2.37296i
\(699\) −3.26764 4.09749i −0.123594 0.154981i
\(700\) −110.569 + 95.8099i −4.17910 + 3.62127i
\(701\) −5.15407 + 6.46300i −0.194667 + 0.244104i −0.869579 0.493794i \(-0.835610\pi\)
0.674913 + 0.737898i \(0.264181\pi\)
\(702\) −4.62886 2.22914i −0.174705 0.0841335i
\(703\) 16.5348 + 72.4439i 0.623623 + 2.73227i
\(704\) −8.47832 −0.319539
\(705\) −64.0400 −2.41189
\(706\) −11.7325 51.4034i −0.441558 1.93459i
\(707\) −7.23797 13.5826i −0.272212 0.510827i
\(708\) 28.4557 124.673i 1.06943 4.68549i
\(709\) 4.50251 19.7268i 0.169095 0.740854i −0.817266 0.576260i \(-0.804511\pi\)
0.986361 0.164594i \(-0.0526314\pi\)
\(710\) 85.0986 106.710i 3.19369 4.00476i
\(711\) −38.4489 + 48.2134i −1.44195 + 1.80814i
\(712\) 1.19674 5.24325i 0.0448496 0.196499i
\(713\) −0.0255961 + 0.112144i −0.000958580 + 0.00419981i
\(714\) −22.3208 4.14456i −0.835335 0.155106i
\(715\) 2.81535 + 12.3349i 0.105288 + 0.461298i
\(716\) 7.42488 0.277481
\(717\) −50.9091 −1.90123
\(718\) −8.84158 38.7375i −0.329965 1.44567i
\(719\) 16.8158 + 8.09804i 0.627122 + 0.302006i 0.720320 0.693642i \(-0.243995\pi\)
−0.0931984 + 0.995648i \(0.529709\pi\)
\(720\) −61.6186 + 77.2673i −2.29639 + 2.87958i
\(721\) −2.60577 4.88994i −0.0970440 0.182111i
\(722\) −46.1312 57.8467i −1.71682 2.15283i
\(723\) 9.97287 + 43.6940i 0.370895 + 1.62500i
\(724\) 21.4882 + 26.9454i 0.798603 + 1.00142i
\(725\) 27.9365 + 13.4535i 1.03754 + 0.499651i
\(726\) −8.04329 + 10.0860i −0.298515 + 0.374325i
\(727\) −5.55289 + 2.67413i −0.205945 + 0.0991780i −0.534013 0.845476i \(-0.679317\pi\)
0.328068 + 0.944654i \(0.393602\pi\)
\(728\) −6.20875 + 14.3640i −0.230112 + 0.532365i
\(729\) 34.9346 + 16.8236i 1.29387 + 0.623096i
\(730\) 80.5944 38.8122i 2.98293 1.43650i
\(731\) 2.63294 11.5356i 0.0973827 0.426661i
\(732\) −79.1165 + 38.1005i −2.92423 + 1.40824i
\(733\) 11.3917 + 14.2848i 0.420763 + 0.527620i 0.946360 0.323113i \(-0.104730\pi\)
−0.525597 + 0.850734i \(0.676158\pi\)
\(734\) −8.46349 −0.312393
\(735\) −42.7968 + 63.7002i −1.57858 + 2.34962i
\(736\) 0.767739 0.0282992
\(737\) −10.5671 13.2507i −0.389243 0.488095i
\(738\) −45.4864 + 21.9051i −1.67438 + 0.806337i
\(739\) −6.87480 + 30.1204i −0.252893 + 1.10800i 0.675781 + 0.737103i \(0.263807\pi\)
−0.928674 + 0.370896i \(0.879051\pi\)
\(740\) 176.170 84.8392i 6.47615 3.11875i
\(741\) −16.3191 7.85885i −0.599496 0.288702i
\(742\) −8.03817 15.0843i −0.295091 0.553761i
\(743\) 3.50619 1.68849i 0.128630 0.0619447i −0.368462 0.929643i \(-0.620116\pi\)
0.497092 + 0.867698i \(0.334401\pi\)
\(744\) −5.47820 + 6.86945i −0.200841 + 0.251846i
\(745\) 14.5554 + 7.00951i 0.533268 + 0.256808i
\(746\) 15.4606 + 19.3870i 0.566053 + 0.709808i
\(747\) 3.60557 + 15.7970i 0.131921 + 0.577983i
\(748\) 10.6542 + 13.3600i 0.389558 + 0.488490i
\(749\) 10.0557 + 7.36862i 0.367427 + 0.269244i
\(750\) −132.936 + 166.696i −4.85412 + 6.08688i
\(751\) 18.8159 + 9.06128i 0.686604 + 0.330651i 0.744453 0.667674i \(-0.232710\pi\)
−0.0578498 + 0.998325i \(0.518424\pi\)
\(752\) 8.06706 + 35.3441i 0.294175 + 1.28887i
\(753\) 17.0626 0.621794
\(754\) 6.14192 0.223675
\(755\) −9.79884 42.9315i −0.356616 1.56244i
\(756\) −9.30656 + 21.5308i −0.338476 + 0.783068i
\(757\) 2.57282 11.2722i 0.0935106 0.409697i −0.906409 0.422402i \(-0.861187\pi\)
0.999919 + 0.0127051i \(0.00404426\pi\)
\(758\) 1.12958 4.94900i 0.0410281 0.179756i
\(759\) 0.984247 1.23421i 0.0357259 0.0447989i
\(760\) −107.957 + 135.373i −3.91599 + 4.91050i
\(761\) −1.06975 + 4.68687i −0.0387783 + 0.169899i −0.990609 0.136725i \(-0.956342\pi\)
0.951831 + 0.306624i \(0.0991994\pi\)
\(762\) 25.9495 113.692i 0.940050 4.11863i
\(763\) 13.5357 11.7290i 0.490027 0.424619i
\(764\) −5.48234 24.0197i −0.198344 0.869002i
\(765\) −20.8240 −0.752893
\(766\) −63.2462 −2.28518
\(767\) −2.51312 11.0107i −0.0907435 0.397573i
\(768\) −73.7898 35.5353i −2.66266 1.28227i
\(769\) −9.54594 + 11.9702i −0.344235 + 0.431657i −0.923569 0.383433i \(-0.874742\pi\)
0.579333 + 0.815091i \(0.303313\pi\)
\(770\) 81.3877 22.1054i 2.93301 0.796624i
\(771\) 16.7176 + 20.9632i 0.602068 + 0.754970i
\(772\) −10.5410 46.1833i −0.379380 1.66217i
\(773\) 16.3937 + 20.5570i 0.589639 + 0.739384i 0.983723 0.179690i \(-0.0575096\pi\)