Properties

Label 400.2.bm.a.227.54
Level $400$
Weight $2$
Character 400.227
Analytic conductor $3.194$
Analytic rank $0$
Dimension $464$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 400 = 2^{4} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 400.bm (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.19401608085\)
Analytic rank: \(0\)
Dimension: \(464\)
Relative dimension: \(58\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 227.54
Character \(\chi\) \(=\) 400.227
Dual form 400.2.bm.a.363.54

$q$-expansion

\(f(q)\) \(=\) \(q+(1.36587 + 0.366602i) q^{2} +(0.714148 + 0.232041i) q^{3} +(1.73121 + 1.00146i) q^{4} +(0.654825 + 2.13804i) q^{5} +(0.890367 + 0.578746i) q^{6} +(0.664832 + 0.664832i) q^{7} +(1.99747 + 2.00253i) q^{8} +(-1.97089 - 1.43193i) q^{9} +O(q^{10})\) \(q+(1.36587 + 0.366602i) q^{2} +(0.714148 + 0.232041i) q^{3} +(1.73121 + 1.00146i) q^{4} +(0.654825 + 2.13804i) q^{5} +(0.890367 + 0.578746i) q^{6} +(0.664832 + 0.664832i) q^{7} +(1.99747 + 2.00253i) q^{8} +(-1.97089 - 1.43193i) q^{9} +(0.110598 + 3.16034i) q^{10} +(-1.89761 - 0.300552i) q^{11} +(1.00396 + 1.11690i) q^{12} +(-2.19463 - 1.59449i) q^{13} +(0.664346 + 1.15180i) q^{14} +(-0.0284696 + 1.67882i) q^{15} +(1.99415 + 3.46747i) q^{16} +(1.25523 - 2.46354i) q^{17} +(-2.16703 - 2.67837i) q^{18} +(0.627595 - 1.23172i) q^{19} +(-1.00752 + 4.35717i) q^{20} +(0.320520 + 0.629057i) q^{21} +(-2.48170 - 1.10618i) q^{22} +(0.899086 - 5.67661i) q^{23} +(0.961818 + 1.89360i) q^{24} +(-4.14241 + 2.80008i) q^{25} +(-2.41304 - 2.98243i) q^{26} +(-2.39934 - 3.30241i) q^{27} +(0.485157 + 1.81676i) q^{28} +(1.42823 + 2.80305i) q^{29} +(-0.654345 + 2.28262i) q^{30} +(8.03512 - 2.61077i) q^{31} +(1.45257 + 5.46718i) q^{32} +(-1.28543 - 0.654961i) q^{33} +(2.61763 - 2.90470i) q^{34} +(-0.986087 + 1.85678i) q^{35} +(-1.97798 - 4.45274i) q^{36} +(1.63312 + 1.18653i) q^{37} +(1.30877 - 1.45230i) q^{38} +(-1.19730 - 1.64795i) q^{39} +(-2.97349 + 5.58197i) q^{40} +(-1.21826 + 1.67680i) q^{41} +(0.207176 + 0.976713i) q^{42} +5.07151 q^{43} +(-2.98416 - 2.42070i) q^{44} +(1.77094 - 5.15149i) q^{45} +(3.30909 - 7.42391i) q^{46} +(3.59243 + 7.05054i) q^{47} +(0.619523 + 2.93901i) q^{48} -6.11600i q^{49} +(-6.68451 + 2.30594i) q^{50} +(1.46806 - 1.46806i) q^{51} +(-2.20254 - 4.95824i) q^{52} +(-12.2832 - 3.99104i) q^{53} +(-2.06652 - 5.39027i) q^{54} +(-0.600011 - 4.25396i) q^{55} +(-0.00336698 + 2.65933i) q^{56} +(0.734006 - 0.734006i) q^{57} +(0.923169 + 4.35220i) q^{58} +(-3.22787 + 0.511245i) q^{59} +(-1.73056 + 2.87787i) q^{60} +(-3.20349 - 0.507384i) q^{61} +(11.9321 - 0.620283i) q^{62} +(-0.358314 - 2.26230i) q^{63} +(-0.0202576 + 7.99997i) q^{64} +(1.97199 - 5.73632i) q^{65} +(-1.51563 - 1.36583i) q^{66} +(3.69124 + 11.3605i) q^{67} +(4.64021 - 3.00782i) q^{68} +(1.95929 - 3.84531i) q^{69} +(-2.02757 + 2.17463i) q^{70} +(0.485892 - 1.49542i) q^{71} +(-1.06929 - 6.80700i) q^{72} +(-15.8903 - 2.51678i) q^{73} +(1.79565 + 2.21935i) q^{74} +(-3.60803 + 1.03847i) q^{75} +(2.32002 - 1.50386i) q^{76} +(-1.06177 - 1.46141i) q^{77} +(-1.03122 - 2.68982i) q^{78} +(3.95236 - 12.1641i) q^{79} +(-6.10777 + 6.53415i) q^{80} +(1.31124 + 4.03559i) q^{81} +(-2.27871 + 1.84367i) q^{82} +(-7.98873 + 2.59569i) q^{83} +(-0.0750892 + 1.41002i) q^{84} +(6.08909 + 1.07055i) q^{85} +(6.92702 + 1.85922i) q^{86} +(0.369543 + 2.33320i) q^{87} +(-3.18854 - 4.40036i) q^{88} +(-11.2879 + 8.20115i) q^{89} +(4.30742 - 6.38705i) q^{90} +(-0.398991 - 2.51913i) q^{91} +(7.24141 - 8.92698i) q^{92} +6.34407 q^{93} +(2.32205 + 10.9471i) q^{94} +(3.04444 + 0.535257i) q^{95} +(-0.231260 + 4.24143i) q^{96} +(-5.10089 + 2.59903i) q^{97} +(2.24214 - 8.35366i) q^{98} +(3.30960 + 3.30960i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 464q - 8q^{2} - 10q^{3} - 10q^{4} - 8q^{5} - 6q^{6} - 16q^{7} - 2q^{8} + 108q^{9} + O(q^{10}) \) \( 464q - 8q^{2} - 10q^{3} - 10q^{4} - 8q^{5} - 6q^{6} - 16q^{7} - 2q^{8} + 108q^{9} - 4q^{10} - 6q^{11} - 22q^{12} - 6q^{13} - 10q^{14} - 12q^{15} + 34q^{16} - 16q^{17} - 24q^{18} - 10q^{19} - 14q^{20} - 36q^{21} - 60q^{22} - 16q^{23} - 12q^{24} - 16q^{26} - 10q^{27} + 6q^{28} - 10q^{29} - 106q^{30} + 2q^{32} - 16q^{33} - 10q^{34} - 60q^{35} + 10q^{36} - 6q^{37} - 38q^{38} - 20q^{39} + 16q^{40} - 38q^{42} + 16q^{43} - 80q^{44} - 4q^{45} - 6q^{46} + 24q^{47} + 60q^{48} + 38q^{50} - 16q^{51} - 160q^{52} - 10q^{53} - 16q^{55} - 6q^{56} - 12q^{57} - 110q^{58} - 10q^{59} - 50q^{60} - 6q^{61} - 14q^{62} - 12q^{63} + 20q^{64} - 16q^{65} - 6q^{66} + 30q^{67} - 50q^{68} - 22q^{69} + 38q^{70} - 12q^{71} + 172q^{72} - 8q^{73} + 8q^{74} - 58q^{75} - 16q^{76} + 60q^{77} - 48q^{78} + 208q^{80} - 96q^{81} - 14q^{82} - 10q^{83} - 22q^{84} + 2q^{85} - 126q^{86} - 72q^{87} + 86q^{88} + 110q^{90} + 64q^{91} - 66q^{92} - 28q^{93} - 10q^{94} - 160q^{95} - 36q^{96} - 16q^{97} - 44q^{98} - 12q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(177\) \(351\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{20}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.36587 + 0.366602i 0.965817 + 0.259227i
\(3\) 0.714148 + 0.232041i 0.412314 + 0.133969i 0.507826 0.861459i \(-0.330449\pi\)
−0.0955129 + 0.995428i \(0.530449\pi\)
\(4\) 1.73121 + 1.00146i 0.865603 + 0.500731i
\(5\) 0.654825 + 2.13804i 0.292847 + 0.956159i
\(6\) 0.890367 + 0.578746i 0.363491 + 0.236272i
\(7\) 0.664832 + 0.664832i 0.251283 + 0.251283i 0.821496 0.570214i \(-0.193140\pi\)
−0.570214 + 0.821496i \(0.693140\pi\)
\(8\) 1.99747 + 2.00253i 0.706211 + 0.708001i
\(9\) −1.97089 1.43193i −0.656962 0.477311i
\(10\) 0.110598 + 3.16034i 0.0349743 + 0.999388i
\(11\) −1.89761 0.300552i −0.572150 0.0906197i −0.136346 0.990661i \(-0.543536\pi\)
−0.435804 + 0.900042i \(0.643536\pi\)
\(12\) 1.00396 + 1.11690i 0.289818 + 0.322422i
\(13\) −2.19463 1.59449i −0.608682 0.442233i 0.240268 0.970707i \(-0.422765\pi\)
−0.848950 + 0.528474i \(0.822765\pi\)
\(14\) 0.664346 + 1.15180i 0.177554 + 0.307832i
\(15\) −0.0284696 + 1.67882i −0.00735082 + 0.433470i
\(16\) 1.99415 + 3.46747i 0.498537 + 0.866868i
\(17\) 1.25523 2.46354i 0.304439 0.597495i −0.687210 0.726459i \(-0.741165\pi\)
0.991649 + 0.128963i \(0.0411649\pi\)
\(18\) −2.16703 2.67837i −0.510773 0.631297i
\(19\) 0.627595 1.23172i 0.143980 0.282577i −0.807743 0.589535i \(-0.799311\pi\)
0.951723 + 0.306958i \(0.0993111\pi\)
\(20\) −1.00752 + 4.35717i −0.225289 + 0.974292i
\(21\) 0.320520 + 0.629057i 0.0699433 + 0.137271i
\(22\) −2.48170 1.10618i −0.529101 0.235839i
\(23\) 0.899086 5.67661i 0.187472 1.18365i −0.697003 0.717068i \(-0.745484\pi\)
0.884476 0.466586i \(-0.154516\pi\)
\(24\) 0.961818 + 1.89360i 0.196330 + 0.386529i
\(25\) −4.14241 + 2.80008i −0.828482 + 0.560016i
\(26\) −2.41304 2.98243i −0.473236 0.584902i
\(27\) −2.39934 3.30241i −0.461753 0.635549i
\(28\) 0.485157 + 1.81676i 0.0916861 + 0.343336i
\(29\) 1.42823 + 2.80305i 0.265215 + 0.520514i 0.984757 0.173935i \(-0.0556482\pi\)
−0.719542 + 0.694449i \(0.755648\pi\)
\(30\) −0.654345 + 2.28262i −0.119466 + 0.416747i
\(31\) 8.03512 2.61077i 1.44315 0.468908i 0.520273 0.854000i \(-0.325830\pi\)
0.922878 + 0.385092i \(0.125830\pi\)
\(32\) 1.45257 + 5.46718i 0.256780 + 0.966470i
\(33\) −1.28543 0.654961i −0.223765 0.114014i
\(34\) 2.61763 2.90470i 0.448919 0.498152i
\(35\) −0.986087 + 1.85678i −0.166679 + 0.313854i
\(36\) −1.97798 4.45274i −0.329664 0.742123i
\(37\) 1.63312 + 1.18653i 0.268483 + 0.195064i 0.713878 0.700270i \(-0.246937\pi\)
−0.445395 + 0.895334i \(0.646937\pi\)
\(38\) 1.30877 1.45230i 0.212310 0.235594i
\(39\) −1.19730 1.64795i −0.191722 0.263883i
\(40\) −2.97349 + 5.58197i −0.470151 + 0.882586i
\(41\) −1.21826 + 1.67680i −0.190261 + 0.261872i −0.893481 0.449100i \(-0.851745\pi\)
0.703221 + 0.710972i \(0.251745\pi\)
\(42\) 0.207176 + 0.976713i 0.0319680 + 0.150710i
\(43\) 5.07151 0.773398 0.386699 0.922206i \(-0.373615\pi\)
0.386699 + 0.922206i \(0.373615\pi\)
\(44\) −2.98416 2.42070i −0.449879 0.364934i
\(45\) 1.77094 5.15149i 0.263996 0.767940i
\(46\) 3.30909 7.42391i 0.487899 1.09460i
\(47\) 3.59243 + 7.05054i 0.524010 + 1.02843i 0.989657 + 0.143456i \(0.0458216\pi\)
−0.465647 + 0.884971i \(0.654178\pi\)
\(48\) 0.619523 + 2.93901i 0.0894204 + 0.424210i
\(49\) 6.11600i 0.873714i
\(50\) −6.68451 + 2.30594i −0.945332 + 0.326109i
\(51\) 1.46806 1.46806i 0.205570 0.205570i
\(52\) −2.20254 4.95824i −0.305437 0.687584i
\(53\) −12.2832 3.99104i −1.68722 0.548211i −0.700930 0.713230i \(-0.747232\pi\)
−0.986290 + 0.165019i \(0.947232\pi\)
\(54\) −2.06652 5.39027i −0.281218 0.733523i
\(55\) −0.600011 4.25396i −0.0809055 0.573605i
\(56\) −0.00336698 + 2.65933i −0.000449932 + 0.355367i
\(57\) 0.734006 0.734006i 0.0972215 0.0972215i
\(58\) 0.923169 + 4.35220i 0.121218 + 0.571472i
\(59\) −3.22787 + 0.511245i −0.420233 + 0.0665584i −0.362970 0.931801i \(-0.618237\pi\)
−0.0572629 + 0.998359i \(0.518237\pi\)
\(60\) −1.73056 + 2.87787i −0.223415 + 0.371532i
\(61\) −3.20349 0.507384i −0.410165 0.0649638i −0.0520576 0.998644i \(-0.516578\pi\)
−0.358108 + 0.933680i \(0.616578\pi\)
\(62\) 11.9321 0.620283i 1.51537 0.0787760i
\(63\) −0.358314 2.26230i −0.0451433 0.285023i
\(64\) −0.0202576 + 7.99997i −0.00253220 + 0.999997i
\(65\) 1.97199 5.73632i 0.244595 0.711503i
\(66\) −1.51563 1.36583i −0.186561 0.168123i
\(67\) 3.69124 + 11.3605i 0.450957 + 1.38790i 0.875817 + 0.482643i \(0.160323\pi\)
−0.424860 + 0.905259i \(0.639677\pi\)
\(68\) 4.64021 3.00782i 0.562708 0.364752i
\(69\) 1.95929 3.84531i 0.235870 0.462921i
\(70\) −2.02757 + 2.17463i −0.242341 + 0.259918i
\(71\) 0.485892 1.49542i 0.0576648 0.177474i −0.918075 0.396406i \(-0.870257\pi\)
0.975740 + 0.218932i \(0.0702573\pi\)
\(72\) −1.06929 6.80700i −0.126017 0.802212i
\(73\) −15.8903 2.51678i −1.85982 0.294567i −0.877191 0.480141i \(-0.840585\pi\)
−0.982630 + 0.185574i \(0.940585\pi\)
\(74\) 1.79565 + 2.21935i 0.208740 + 0.257994i
\(75\) −3.60803 + 1.03847i −0.416619 + 0.119912i
\(76\) 2.32002 1.50386i 0.266125 0.172504i
\(77\) −1.06177 1.46141i −0.121000 0.166543i
\(78\) −1.03122 2.68982i −0.116763 0.304562i
\(79\) 3.95236 12.1641i 0.444675 1.36857i −0.438165 0.898894i \(-0.644372\pi\)
0.882840 0.469674i \(-0.155628\pi\)
\(80\) −6.10777 + 6.53415i −0.682869 + 0.730541i
\(81\) 1.31124 + 4.03559i 0.145694 + 0.448399i
\(82\) −2.27871 + 1.84367i −0.251641 + 0.203599i
\(83\) −7.98873 + 2.59569i −0.876877 + 0.284915i −0.712660 0.701510i \(-0.752510\pi\)
−0.164217 + 0.986424i \(0.552510\pi\)
\(84\) −0.0750892 + 1.41002i −0.00819291 + 0.153845i
\(85\) 6.08909 + 1.07055i 0.660455 + 0.116118i
\(86\) 6.92702 + 1.85922i 0.746960 + 0.200485i
\(87\) 0.369543 + 2.33320i 0.0396192 + 0.250146i
\(88\) −3.18854 4.40036i −0.339900 0.469080i
\(89\) −11.2879 + 8.20115i −1.19652 + 0.869320i −0.993938 0.109946i \(-0.964932\pi\)
−0.202578 + 0.979266i \(0.564932\pi\)
\(90\) 4.30742 6.38705i 0.454042 0.673254i
\(91\) −0.398991 2.51913i −0.0418257 0.264077i
\(92\) 7.24141 8.92698i 0.754969 0.930702i
\(93\) 6.34407 0.657850
\(94\) 2.32205 + 10.9471i 0.239501 + 1.12911i
\(95\) 3.04444 + 0.535257i 0.312353 + 0.0549162i
\(96\) −0.231260 + 4.24143i −0.0236028 + 0.432889i
\(97\) −5.10089 + 2.59903i −0.517917 + 0.263892i −0.693352 0.720599i \(-0.743867\pi\)
0.175435 + 0.984491i \(0.443867\pi\)
\(98\) 2.24214 8.35366i 0.226490 0.843847i
\(99\) 3.30960 + 3.30960i 0.332627 + 0.332627i
\(100\) −9.97554 + 0.699057i −0.997554 + 0.0699057i
\(101\) 1.12534 1.12534i 0.111975 0.111975i −0.648899 0.760874i \(-0.724770\pi\)
0.760874 + 0.648899i \(0.224770\pi\)
\(102\) 2.54338 1.46699i 0.251832 0.145254i
\(103\) −2.81485 5.52446i −0.277356 0.544341i 0.709742 0.704462i \(-0.248812\pi\)
−0.987097 + 0.160121i \(0.948812\pi\)
\(104\) −1.19068 7.57977i −0.116756 0.743257i
\(105\) −1.13506 + 1.09721i −0.110771 + 0.107076i
\(106\) −15.3141 9.95427i −1.48743 0.966844i
\(107\) 7.38470i 0.713906i 0.934122 + 0.356953i \(0.116184\pi\)
−0.934122 + 0.356953i \(0.883816\pi\)
\(108\) −0.846517 8.12000i −0.0814562 0.781347i
\(109\) 11.7226 1.85668i 1.12282 0.177837i 0.432705 0.901536i \(-0.357559\pi\)
0.690117 + 0.723698i \(0.257559\pi\)
\(110\) 0.739974 6.03033i 0.0705537 0.574970i
\(111\) 0.890965 + 1.22631i 0.0845667 + 0.116396i
\(112\) −0.979513 + 3.63106i −0.0925553 + 0.343103i
\(113\) −7.48845 + 1.18605i −0.704454 + 0.111575i −0.498376 0.866961i \(-0.666070\pi\)
−0.206078 + 0.978536i \(0.566070\pi\)
\(114\) 1.27165 0.733470i 0.119101 0.0686957i
\(115\) 12.7255 1.79491i 1.18666 0.167376i
\(116\) −0.334595 + 6.28298i −0.0310664 + 0.583360i
\(117\) 2.04216 + 6.28513i 0.188798 + 0.581061i
\(118\) −4.59628 0.485050i −0.423122 0.0446524i
\(119\) 2.47236 0.803318i 0.226641 0.0736400i
\(120\) −3.41876 + 3.29638i −0.312089 + 0.300917i
\(121\) −6.95104 2.25853i −0.631913 0.205321i
\(122\) −4.18955 1.86743i −0.379304 0.169069i
\(123\) −1.25911 + 0.914794i −0.113530 + 0.0824842i
\(124\) 16.5250 + 3.52709i 1.48399 + 0.316742i
\(125\) −8.69923 7.02306i −0.778083 0.628161i
\(126\) 0.339954 3.22137i 0.0302856 0.286983i
\(127\) 0.877466 5.54010i 0.0778625 0.491605i −0.917682 0.397315i \(-0.869942\pi\)
0.995545 0.0942896i \(-0.0300580\pi\)
\(128\) −2.96047 + 10.9195i −0.261671 + 0.965157i
\(129\) 3.62181 + 1.17680i 0.318882 + 0.103611i
\(130\) 4.79642 7.11214i 0.420674 0.623776i
\(131\) 7.22281 + 3.68020i 0.631060 + 0.321541i 0.740100 0.672496i \(-0.234778\pi\)
−0.109041 + 0.994037i \(0.534778\pi\)
\(132\) −1.56943 2.42118i −0.136601 0.210737i
\(133\) 1.23614 0.401645i 0.107187 0.0348270i
\(134\) 0.876988 + 16.8701i 0.0757602 + 1.45736i
\(135\) 5.48953 7.29238i 0.472463 0.627628i
\(136\) 7.44060 2.40719i 0.638026 0.206414i
\(137\) 9.83249 1.55731i 0.840047 0.133050i 0.278439 0.960454i \(-0.410183\pi\)
0.561608 + 0.827404i \(0.310183\pi\)
\(138\) 4.08583 4.53392i 0.347809 0.385953i
\(139\) −0.401897 + 2.53748i −0.0340885 + 0.215226i −0.998853 0.0478901i \(-0.984750\pi\)
0.964764 + 0.263116i \(0.0847503\pi\)
\(140\) −3.56662 + 2.22695i −0.301434 + 0.188212i
\(141\) 0.929514 + 5.86872i 0.0782792 + 0.494235i
\(142\) 1.21189 1.86443i 0.101700 0.156459i
\(143\) 3.68532 + 3.68532i 0.308182 + 0.308182i
\(144\) 1.03495 9.68948i 0.0862455 0.807457i
\(145\) −5.05779 + 4.88911i −0.420027 + 0.406019i
\(146\) −20.7815 9.26302i −1.71989 0.766613i
\(147\) 1.41916 4.36773i 0.117050 0.360244i
\(148\) 1.63900 + 3.68963i 0.134725 + 0.303286i
\(149\) 7.01740 + 7.01740i 0.574887 + 0.574887i 0.933490 0.358603i \(-0.116747\pi\)
−0.358603 + 0.933490i \(0.616747\pi\)
\(150\) −5.30880 + 0.0957011i −0.433462 + 0.00781396i
\(151\) −2.40043 −0.195345 −0.0976723 0.995219i \(-0.531140\pi\)
−0.0976723 + 0.995219i \(0.531140\pi\)
\(152\) 3.72017 1.20355i 0.301745 0.0976208i
\(153\) −6.00154 + 3.05794i −0.485196 + 0.247220i
\(154\) −0.914492 2.38534i −0.0736918 0.192216i
\(155\) 10.8435 + 15.4698i 0.870973 + 1.24256i
\(156\) −0.422424 4.05199i −0.0338210 0.324419i
\(157\) 10.1340i 0.808782i 0.914586 + 0.404391i \(0.132517\pi\)
−0.914586 + 0.404391i \(0.867483\pi\)
\(158\) 9.85779 15.1656i 0.784243 1.20651i
\(159\) −7.84591 5.70038i −0.622221 0.452070i
\(160\) −10.7379 + 6.68569i −0.848902 + 0.528550i
\(161\) 4.37173 3.17625i 0.344541 0.250324i
\(162\) 0.311533 + 5.99280i 0.0244764 + 0.470839i
\(163\) −7.58949 + 10.4460i −0.594455 + 0.818196i −0.995187 0.0979988i \(-0.968756\pi\)
0.400732 + 0.916195i \(0.368756\pi\)
\(164\) −3.78831 + 1.68284i −0.295817 + 0.131407i
\(165\) 0.558596 3.17719i 0.0434867 0.247344i
\(166\) −11.8632 + 0.616701i −0.920759 + 0.0478653i
\(167\) −5.15796 + 10.1231i −0.399135 + 0.783347i −0.999870 0.0161011i \(-0.994875\pi\)
0.600735 + 0.799448i \(0.294875\pi\)
\(168\) −0.619477 + 1.89837i −0.0477937 + 0.146463i
\(169\) −1.74322 5.36508i −0.134094 0.412698i
\(170\) 7.92445 + 3.69451i 0.607777 + 0.283356i
\(171\) −3.00067 + 1.52892i −0.229467 + 0.116919i
\(172\) 8.77982 + 5.07892i 0.669455 + 0.387264i
\(173\) −4.80467 + 3.49080i −0.365292 + 0.265400i −0.755256 0.655430i \(-0.772488\pi\)
0.389964 + 0.920830i \(0.372488\pi\)
\(174\) −0.350608 + 3.32233i −0.0265796 + 0.251865i
\(175\) −4.61559 0.892421i −0.348906 0.0674607i
\(176\) −2.74196 7.17925i −0.206683 0.541156i
\(177\) −2.42381 0.383893i −0.182185 0.0288552i
\(178\) −18.4244 + 7.06354i −1.38097 + 0.529435i
\(179\) 19.9992 10.1901i 1.49481 0.761645i 0.500259 0.865876i \(-0.333238\pi\)
0.994553 + 0.104231i \(0.0332383\pi\)
\(180\) 8.22489 7.14477i 0.613047 0.532540i
\(181\) 15.5840 + 7.94046i 1.15835 + 0.590210i 0.924170 0.381983i \(-0.124759\pi\)
0.234183 + 0.972193i \(0.424759\pi\)
\(182\) 0.378548 3.58708i 0.0280598 0.265892i
\(183\) −2.17004 1.10569i −0.160414 0.0817348i
\(184\) 13.1635 9.53838i 0.970424 0.703179i
\(185\) −1.46744 + 4.26864i −0.107888 + 0.313837i
\(186\) 8.66519 + 2.32575i 0.635362 + 0.170532i
\(187\) −3.12236 + 4.29756i −0.228330 + 0.314269i
\(188\) −0.841609 + 15.8036i −0.0613806 + 1.15260i
\(189\) 0.600389 3.79071i 0.0436719 0.275733i
\(190\) 3.96208 + 1.84719i 0.287440 + 0.134009i
\(191\) 3.14297 4.32593i 0.227417 0.313013i −0.680026 0.733188i \(-0.738031\pi\)
0.907443 + 0.420175i \(0.138031\pi\)
\(192\) −1.87079 + 5.70847i −0.135012 + 0.411973i
\(193\) −3.49723 + 3.49723i −0.251736 + 0.251736i −0.821682 0.569946i \(-0.806964\pi\)
0.569946 + 0.821682i \(0.306964\pi\)
\(194\) −7.91996 + 1.67995i −0.568620 + 0.120613i
\(195\) 2.73935 3.63900i 0.196169 0.260594i
\(196\) 6.12494 10.5881i 0.437495 0.756289i
\(197\) −5.46305 + 16.8135i −0.389226 + 1.19792i 0.544141 + 0.838994i \(0.316856\pi\)
−0.933368 + 0.358922i \(0.883144\pi\)
\(198\) 3.30718 + 5.73379i 0.235031 + 0.407483i
\(199\) 16.8101i 1.19164i −0.803118 0.595819i \(-0.796827\pi\)
0.803118 0.595819i \(-0.203173\pi\)
\(200\) −13.8816 2.70223i −0.981575 0.191076i
\(201\) 8.96958i 0.632665i
\(202\) 1.94962 1.12452i 0.137175 0.0791207i
\(203\) −0.914029 + 2.81309i −0.0641522 + 0.197440i
\(204\) 4.01173 1.07131i 0.280877 0.0750068i
\(205\) −4.38280 1.50668i −0.306108 0.105231i
\(206\) −1.81945 8.57763i −0.126767 0.597632i
\(207\) −9.90052 + 9.90052i −0.688134 + 0.688134i
\(208\) 1.15244 10.7895i 0.0799073 0.748116i
\(209\) −1.56113 + 2.14871i −0.107985 + 0.148629i
\(210\) −1.95259 + 1.08253i −0.134741 + 0.0747014i
\(211\) 2.79521 17.6483i 0.192430 1.21496i −0.682565 0.730825i \(-0.739136\pi\)
0.874995 0.484132i \(-0.160864\pi\)
\(212\) −17.2678 19.2104i −1.18596 1.31938i
\(213\) 0.693998 0.955206i 0.0475520 0.0654497i
\(214\) −2.70724 + 10.0865i −0.185063 + 0.689502i
\(215\) 3.32095 + 10.8431i 0.226487 + 0.739491i
\(216\) 1.82057 11.4012i 0.123874 0.775754i
\(217\) 7.07773 + 3.60628i 0.480468 + 0.244811i
\(218\) 16.6922 + 1.76155i 1.13054 + 0.119307i
\(219\) −10.7640 5.48456i −0.727367 0.370612i
\(220\) 3.22144 7.96538i 0.217189 0.537026i
\(221\) −6.68287 + 3.40509i −0.449539 + 0.229051i
\(222\) 0.767376 + 2.00161i 0.0515029 + 0.134339i
\(223\) 15.5510 + 2.46304i 1.04137 + 0.164938i 0.653618 0.756824i \(-0.273250\pi\)
0.387756 + 0.921762i \(0.373250\pi\)
\(224\) −2.66904 + 4.60047i −0.178333 + 0.307382i
\(225\) 12.1737 + 0.413005i 0.811583 + 0.0275337i
\(226\) −10.6631 1.12528i −0.709296 0.0748527i
\(227\) −12.3564 + 8.97746i −0.820124 + 0.595855i −0.916748 0.399466i \(-0.869196\pi\)
0.0966238 + 0.995321i \(0.469196\pi\)
\(228\) 2.00580 0.535637i 0.132837 0.0354734i
\(229\) 1.76985 0.901782i 0.116955 0.0595914i −0.394534 0.918881i \(-0.629094\pi\)
0.511489 + 0.859290i \(0.329094\pi\)
\(230\) 18.0395 + 2.21360i 1.18949 + 0.145960i
\(231\) −0.419158 1.29004i −0.0275786 0.0848781i
\(232\) −2.76037 + 8.45907i −0.181227 + 0.555365i
\(233\) 0.816902 1.60326i 0.0535170 0.105033i −0.862699 0.505718i \(-0.831228\pi\)
0.916216 + 0.400685i \(0.131228\pi\)
\(234\) 0.485190 + 9.33334i 0.0317179 + 0.610140i
\(235\) −12.7219 + 12.2976i −0.829885 + 0.802208i
\(236\) −6.10010 2.34752i −0.397083 0.152811i
\(237\) 5.64513 7.76986i 0.366691 0.504707i
\(238\) 3.67142 0.190857i 0.237983 0.0123714i
\(239\) −18.2565 + 13.2641i −1.18091 + 0.857984i −0.992274 0.124062i \(-0.960408\pi\)
−0.188640 + 0.982046i \(0.560408\pi\)
\(240\) −5.87804 + 3.24910i −0.379426 + 0.209729i
\(241\) 17.2249 + 12.5147i 1.10956 + 0.806140i 0.982594 0.185768i \(-0.0594773\pi\)
0.126962 + 0.991908i \(0.459477\pi\)
\(242\) −8.66624 5.63312i −0.557087 0.362111i
\(243\) 15.4323i 0.989981i
\(244\) −5.03778 4.08656i −0.322511 0.261615i
\(245\) 13.0762 4.00491i 0.835410 0.255864i
\(246\) −2.05514 + 0.787900i −0.131031 + 0.0502346i
\(247\) −3.34132 + 1.70249i −0.212603 + 0.108327i
\(248\) 21.2780 + 10.8757i 1.35116 + 0.690605i
\(249\) −6.30744 −0.399718
\(250\) −9.30736 12.7817i −0.588649 0.808388i
\(251\) 2.47693 + 2.47693i 0.156342 + 0.156342i 0.780944 0.624601i \(-0.214739\pi\)
−0.624601 + 0.780944i \(0.714739\pi\)
\(252\) 1.64530 4.27535i 0.103644 0.269322i
\(253\) −3.41223 + 10.5018i −0.214525 + 0.660240i
\(254\) 3.22952 7.24538i 0.202638 0.454616i
\(255\) 4.10010 + 2.17745i 0.256758 + 0.136357i
\(256\) −8.04674 + 13.8293i −0.502921 + 0.864332i
\(257\) −11.9077 11.9077i −0.742782 0.742782i 0.230330 0.973113i \(-0.426019\pi\)
−0.973113 + 0.230330i \(0.926019\pi\)
\(258\) 4.51550 + 2.93511i 0.281123 + 0.182732i
\(259\) 0.296906 + 1.87459i 0.0184489 + 0.116482i
\(260\) 9.15862 7.95589i 0.567994 0.493403i
\(261\) 1.19891 7.56963i 0.0742107 0.468548i
\(262\) 8.51625 + 7.67458i 0.526136 + 0.474137i
\(263\) 21.5358 3.41093i 1.32795 0.210327i 0.548165 0.836370i \(-0.315327\pi\)
0.779788 + 0.626043i \(0.215327\pi\)
\(264\) −1.25603 3.88238i −0.0773033 0.238944i
\(265\) 0.489669 28.8753i 0.0300801 1.77379i
\(266\) 1.83565 0.0954253i 0.112551 0.00585090i
\(267\) −9.96424 + 3.23758i −0.609802 + 0.198137i
\(268\) −4.98678 + 23.3639i −0.304616 + 1.42718i
\(269\) 19.2161 + 9.79108i 1.17163 + 0.596973i 0.927885 0.372868i \(-0.121625\pi\)
0.243741 + 0.969840i \(0.421625\pi\)
\(270\) 10.1714 7.94798i 0.619011 0.483699i
\(271\) 12.9684 + 4.21368i 0.787773 + 0.255963i 0.675156 0.737675i \(-0.264076\pi\)
0.112618 + 0.993638i \(0.464076\pi\)
\(272\) 11.0454 0.560168i 0.669724 0.0339652i
\(273\) 0.299603 1.89162i 0.0181328 0.114486i
\(274\) 14.0008 + 1.47752i 0.845821 + 0.0892603i
\(275\) 8.70223 4.06845i 0.524764 0.245337i
\(276\) 7.24286 4.69488i 0.435969 0.282599i
\(277\) 8.82484 6.41162i 0.530233 0.385237i −0.290212 0.956962i \(-0.593726\pi\)
0.820445 + 0.571725i \(0.193726\pi\)
\(278\) −1.47918 + 3.31853i −0.0887156 + 0.199032i
\(279\) −19.5748 6.36023i −1.17191 0.380777i
\(280\) −5.68794 + 1.73420i −0.339920 + 0.103638i
\(281\) 11.0105 3.57754i 0.656833 0.213418i 0.0384082 0.999262i \(-0.487771\pi\)
0.618424 + 0.785844i \(0.287771\pi\)
\(282\) −0.881888 + 8.35667i −0.0525156 + 0.497633i
\(283\) −0.510039 1.56974i −0.0303187 0.0933113i 0.934752 0.355301i \(-0.115621\pi\)
−0.965071 + 0.261989i \(0.915621\pi\)
\(284\) 2.33879 2.10228i 0.138782 0.124748i
\(285\) 2.04998 + 1.08869i 0.121430 + 0.0644882i
\(286\) 3.68263 + 6.38472i 0.217758 + 0.377537i
\(287\) −1.92473 + 0.304847i −0.113613 + 0.0179945i
\(288\) 4.96579 12.8552i 0.292612 0.757498i
\(289\) 5.49895 + 7.56866i 0.323468 + 0.445215i
\(290\) −8.70065 + 4.82370i −0.510920 + 0.283257i
\(291\) −4.24587 + 0.672480i −0.248897 + 0.0394215i
\(292\) −24.9890 20.2706i −1.46237 1.18625i
\(293\) 20.2193i 1.18123i 0.806955 + 0.590613i \(0.201114\pi\)
−0.806955 + 0.590613i \(0.798886\pi\)
\(294\) 3.53961 5.44548i 0.206434 0.317587i
\(295\) −3.20675 6.56653i −0.186704 0.382318i
\(296\) 0.886036 + 5.64042i 0.0514998 + 0.327843i
\(297\) 3.56046 + 6.98780i 0.206599 + 0.405474i
\(298\) 7.01227 + 12.1574i 0.406210 + 0.704262i
\(299\) −11.0245 + 11.0245i −0.637562 + 0.637562i
\(300\) −7.28622 1.81550i −0.420670 0.104818i
\(301\) 3.37170 + 3.37170i 0.194342 + 0.194342i
\(302\) −3.27868 0.880003i −0.188667 0.0506385i
\(303\) 1.06478 0.542534i 0.0611702 0.0311678i
\(304\) 5.52249 0.280074i 0.316737 0.0160633i
\(305\) −1.01292 7.18144i −0.0579999 0.411208i
\(306\) −9.31838 + 1.97657i −0.532696 + 0.112993i
\(307\) −16.8892 −0.963919 −0.481960 0.876193i \(-0.660075\pi\)
−0.481960 + 0.876193i \(0.660075\pi\)
\(308\) −0.374607 3.59332i −0.0213452 0.204749i
\(309\) −0.728322 4.59844i −0.0414328 0.261596i
\(310\) 9.13960 + 25.1050i 0.519094 + 1.42587i
\(311\) −23.4211 + 17.0164i −1.32809 + 0.964914i −0.328297 + 0.944575i \(0.606475\pi\)
−0.999793 + 0.0203391i \(0.993525\pi\)
\(312\) 0.908492 5.68936i 0.0514332 0.322097i
\(313\) −4.85817 30.6732i −0.274600 1.73375i −0.610641 0.791907i \(-0.709088\pi\)
0.336042 0.941847i \(-0.390912\pi\)
\(314\) −3.71515 + 13.8418i −0.209658 + 0.781135i
\(315\) 4.60226 2.24750i 0.259308 0.126632i
\(316\) 19.0242 17.1004i 1.07020 0.961974i
\(317\) 9.67306 3.14297i 0.543293 0.176527i −0.0244972 0.999700i \(-0.507798\pi\)
0.567790 + 0.823173i \(0.307798\pi\)
\(318\) −8.62672 10.6623i −0.483763 0.597913i
\(319\) −1.86775 5.74835i −0.104574 0.321846i
\(320\) −17.1175 + 5.19527i −0.956898 + 0.290425i
\(321\) −1.71355 + 5.27377i −0.0956411 + 0.294353i
\(322\) 7.13564 2.73566i 0.397654 0.152452i
\(323\) −2.24662 3.09221i −0.125005 0.172055i
\(324\) −1.77146 + 8.29960i −0.0984144 + 0.461089i
\(325\) 13.5558 + 0.459892i 0.751939 + 0.0255102i
\(326\) −14.1958 + 11.4856i −0.786232 + 0.636129i
\(327\) 8.80250 + 1.39418i 0.486779 + 0.0770982i
\(328\) −5.79128 + 0.909733i −0.319770 + 0.0502316i
\(329\) −2.29906 + 7.07579i −0.126751 + 0.390101i
\(330\) 1.92773 4.13485i 0.106118 0.227616i
\(331\) 3.49495 6.85922i 0.192100 0.377017i −0.774787 0.632222i \(-0.782143\pi\)
0.966887 + 0.255205i \(0.0821430\pi\)
\(332\) −16.4296 3.50672i −0.901693 0.192456i
\(333\) −1.51966 4.67703i −0.0832769 0.256300i
\(334\) −10.7563 + 11.9359i −0.588556 + 0.653103i
\(335\) −21.8720 + 15.3311i −1.19499 + 0.837629i
\(336\) −1.54207 + 2.36583i −0.0841269 + 0.129067i
\(337\) −5.36494 33.8729i −0.292247 1.84517i −0.498774 0.866732i \(-0.666216\pi\)
0.206527 0.978441i \(-0.433784\pi\)
\(338\) −0.414165 7.96707i −0.0225276 0.433352i
\(339\) −5.62307 0.890607i −0.305403 0.0483711i
\(340\) 9.46936 + 7.95134i 0.513548 + 0.431222i
\(341\) −16.0322 + 2.53925i −0.868192 + 0.137508i
\(342\) −4.65903 + 0.988252i −0.251931 + 0.0534385i
\(343\) 8.71993 8.71993i 0.470832 0.470832i
\(344\) 10.1302 + 10.1558i 0.546182 + 0.547567i
\(345\) 9.50441 + 1.67102i 0.511700 + 0.0899645i
\(346\) −7.84229 + 3.00658i −0.421604 + 0.161635i
\(347\) 0.516439 + 0.167801i 0.0277239 + 0.00900804i 0.322846 0.946451i \(-0.395360\pi\)
−0.295122 + 0.955460i \(0.595360\pi\)
\(348\) −1.69686 + 4.40934i −0.0909611 + 0.236365i
\(349\) 20.2903 20.2903i 1.08612 1.08612i 0.0901918 0.995924i \(-0.471252\pi\)
0.995924 0.0901918i \(-0.0287480\pi\)
\(350\) −5.97714 2.91102i −0.319491 0.155600i
\(351\) 11.0733i 0.591050i
\(352\) −1.11324 10.8111i −0.0593357 0.576235i
\(353\) 3.68337 + 7.22903i 0.196046 + 0.384762i 0.968013 0.250901i \(-0.0807268\pi\)
−0.771967 + 0.635663i \(0.780727\pi\)
\(354\) −3.16987 1.41292i −0.168477 0.0750959i
\(355\) 3.51544 + 0.0596152i 0.186580 + 0.00316405i
\(356\) −27.7548 + 2.89347i −1.47100 + 0.153353i
\(357\) 1.95203 0.103312
\(358\) 31.0521 6.58662i 1.64115 0.348114i
\(359\) 15.0967 20.7788i 0.796772 1.09666i −0.196460 0.980512i \(-0.562945\pi\)
0.993232 0.116151i \(-0.0370555\pi\)
\(360\) 13.8534 6.74358i 0.730139 0.355418i
\(361\) 10.0446 + 13.8253i 0.528666 + 0.727646i
\(362\) 18.3748 + 16.5588i 0.965758 + 0.870310i
\(363\) −4.44000 3.22585i −0.233040 0.169313i
\(364\) 1.83208 4.76071i 0.0960270 0.249529i
\(365\) −5.02442 35.6222i −0.262990 1.86455i
\(366\) −2.55864 2.30577i −0.133742 0.120524i
\(367\) −21.4325 10.9204i −1.11877 0.570042i −0.206015 0.978549i \(-0.566049\pi\)
−0.912755 + 0.408507i \(0.866049\pi\)
\(368\) 21.4764 8.20245i 1.11953 0.427582i
\(369\) 4.80212 1.56030i 0.249988 0.0812261i
\(370\) −3.56922 + 5.29244i −0.185555 + 0.275141i
\(371\) −5.51286 10.8196i −0.286214 0.561726i
\(372\) 10.9829 + 6.35335i 0.569437 + 0.329406i
\(373\) 5.99894 + 8.25684i 0.310613 + 0.427523i 0.935572 0.353135i \(-0.114884\pi\)
−0.624959 + 0.780658i \(0.714884\pi\)
\(374\) −5.84024 + 4.72525i −0.301992 + 0.244337i
\(375\) −4.58291 7.03408i −0.236660 0.363238i
\(376\) −6.94316 + 21.2772i −0.358066 + 1.09729i
\(377\) 1.33502 8.42897i 0.0687569 0.434114i
\(378\) 2.20973 4.95751i 0.113656 0.254987i
\(379\) −15.9166 31.2382i −0.817583 1.60460i −0.796360 0.604823i \(-0.793244\pi\)
−0.0212229 0.999775i \(-0.506756\pi\)
\(380\) 4.73451 + 3.97553i 0.242875 + 0.203940i
\(381\) 1.91217 3.75285i 0.0979635 0.192264i
\(382\) 5.87878 4.75644i 0.300785 0.243361i
\(383\) −5.59145 + 10.9738i −0.285710 + 0.560737i −0.988601 0.150560i \(-0.951892\pi\)
0.702891 + 0.711298i \(0.251892\pi\)
\(384\) −4.64799 + 7.11119i −0.237192 + 0.362892i
\(385\) 2.42927 3.22708i 0.123807 0.164467i
\(386\) −6.05886 + 3.49467i −0.308388 + 0.177874i
\(387\) −9.99536 7.26206i −0.508093 0.369151i
\(388\) −11.4335 0.608883i −0.580449 0.0309113i
\(389\) −20.1979 3.19903i −1.02407 0.162197i −0.378266 0.925697i \(-0.623480\pi\)
−0.645808 + 0.763500i \(0.723480\pi\)
\(390\) 5.07566 3.96615i 0.257016 0.200834i
\(391\) −12.8560 9.34041i −0.650154 0.472365i
\(392\) 12.2475 12.2165i 0.618591 0.617026i
\(393\) 4.30420 + 4.30420i 0.217118 + 0.217118i
\(394\) −13.6257 + 20.9624i −0.686453 + 1.05607i
\(395\) 28.5954 + 0.484923i 1.43879 + 0.0243991i
\(396\) 2.41516 + 9.04404i 0.121366 + 0.454480i
\(397\) −10.3022 3.34740i −0.517054 0.168001i 0.0388538 0.999245i \(-0.487629\pi\)
−0.555908 + 0.831244i \(0.687629\pi\)
\(398\) 6.16263 22.9605i 0.308905 1.15090i
\(399\) 0.975982 0.0488602
\(400\) −17.9698 8.77990i −0.898489 0.438995i
\(401\) −14.3037 −0.714291 −0.357145 0.934049i \(-0.616250\pi\)
−0.357145 + 0.934049i \(0.616250\pi\)
\(402\) −3.28826 + 12.2513i −0.164004 + 0.611038i
\(403\) −21.7970 7.08228i −1.08579 0.352793i
\(404\) 3.07518 0.821210i 0.152996 0.0408567i
\(405\) −7.76961 + 5.44610i −0.386075 + 0.270619i
\(406\) −2.27973 + 3.50723i −0.113141 + 0.174061i
\(407\) −2.74241 2.74241i −0.135936 0.135936i
\(408\) 5.87225 + 0.00743487i 0.290720 + 0.000368081i
\(409\) 7.01802 + 5.09889i 0.347019 + 0.252124i 0.747617 0.664130i \(-0.231198\pi\)
−0.400599 + 0.916254i \(0.631198\pi\)
\(410\) −5.43399 3.66468i −0.268366 0.180986i
\(411\) 7.38322 + 1.16939i 0.364187 + 0.0576816i
\(412\) 0.659444 12.3829i 0.0324885 0.610064i
\(413\) −2.48588 1.80610i −0.122322 0.0888724i
\(414\) −17.1524 + 9.89328i −0.842993 + 0.486228i
\(415\) −10.7809 15.3805i −0.529214 0.754998i
\(416\) 5.52953 14.3146i 0.271108 0.701829i
\(417\) −0.875813 + 1.71888i −0.0428887 + 0.0841739i
\(418\) −2.92002 + 2.36254i −0.142823 + 0.115556i
\(419\) −10.6779 + 20.9565i −0.521648 + 1.02379i 0.468460 + 0.883485i \(0.344809\pi\)
−0.990108 + 0.140307i \(0.955191\pi\)
\(420\) −3.06384 + 0.762770i −0.149500 + 0.0372194i
\(421\) −0.833288 1.63542i −0.0406120 0.0797055i 0.869809 0.493389i \(-0.164242\pi\)
−0.910421 + 0.413683i \(0.864242\pi\)
\(422\) 10.2878 23.0805i 0.500801 1.12354i
\(423\) 3.01563 19.0399i 0.146625 0.925753i
\(424\) −16.5430 32.5693i −0.803399 1.58171i
\(425\) 1.69841 + 13.7197i 0.0823851 + 0.665505i
\(426\) 1.29809 1.05027i 0.0628928 0.0508856i
\(427\) −1.79246 2.46711i −0.0867432 0.119392i
\(428\) −7.39549 + 12.7844i −0.357475 + 0.617959i
\(429\) 1.77672 + 3.48701i 0.0857809 + 0.168355i
\(430\) 0.560900 + 16.0277i 0.0270490 + 0.772924i
\(431\) 29.7057 9.65196i 1.43087 0.464918i 0.511833 0.859085i \(-0.328967\pi\)
0.919039 + 0.394167i \(0.128967\pi\)
\(432\) 6.66637 14.9051i 0.320736 0.717124i
\(433\) −5.86737 2.98957i −0.281968 0.143670i 0.307287 0.951617i \(-0.400579\pi\)
−0.589255 + 0.807947i \(0.700579\pi\)
\(434\) 8.34520 + 7.52043i 0.400582 + 0.360992i
\(435\) −4.74649 + 2.31794i −0.227577 + 0.111137i
\(436\) 22.1536 + 8.52544i 1.06097 + 0.408295i
\(437\) −6.42776 4.67004i −0.307481 0.223398i
\(438\) −12.6916 11.4373i −0.606430 0.546496i
\(439\) −2.68697 3.69829i −0.128242 0.176510i 0.740068 0.672532i \(-0.234793\pi\)
−0.868310 + 0.496022i \(0.834793\pi\)
\(440\) 7.32019 9.69869i 0.348977 0.462367i
\(441\) −8.75770 + 12.0539i −0.417033 + 0.573997i
\(442\) −10.3763 + 2.20096i −0.493548 + 0.104689i
\(443\) 29.4043 1.39704 0.698520 0.715591i \(-0.253842\pi\)
0.698520 + 0.715591i \(0.253842\pi\)
\(444\) 0.314344 + 3.01526i 0.0149181 + 0.143098i
\(445\) −24.9260 18.7637i −1.18160 0.889482i
\(446\) 20.3378 + 9.06524i 0.963021 + 0.429251i
\(447\) 3.38314 + 6.63978i 0.160017 + 0.314051i
\(448\) −5.33211 + 5.30517i −0.251918 + 0.250646i
\(449\) 5.39833i 0.254763i −0.991854 0.127382i \(-0.959343\pi\)
0.991854 0.127382i \(-0.0406573\pi\)
\(450\) 16.4764 + 5.02703i 0.776703 + 0.236976i
\(451\) 2.81575 2.81575i 0.132588 0.132588i
\(452\) −14.1518 5.44609i −0.665646 0.256162i
\(453\) −1.71427 0.556998i −0.0805432 0.0261701i
\(454\) −20.1684 + 7.73217i −0.946551 + 0.362889i
\(455\) 5.12473 2.50265i 0.240251 0.117326i
\(456\) 2.93602 + 0.00371731i 0.137492 + 0.000174079i
\(457\) 28.4812 28.4812i 1.33230 1.33230i 0.428984 0.903312i \(-0.358872\pi\)
0.903312 0.428984i \(-0.141128\pi\)
\(458\) 2.74798 0.582889i 0.128405 0.0272366i
\(459\) −11.1473 + 1.76557i −0.520313 + 0.0824096i
\(460\) 23.8281 + 9.63679i 1.11099 + 0.449318i
\(461\) −31.1894 4.93992i −1.45264 0.230075i −0.620308 0.784359i \(-0.712992\pi\)
−0.832328 + 0.554284i \(0.812992\pi\)
\(462\) −0.0995862 1.91569i −0.00463317 0.0891258i
\(463\) −5.49413 34.6886i −0.255334 1.61211i −0.698456 0.715653i \(-0.746129\pi\)
0.443122 0.896461i \(-0.353871\pi\)
\(464\) −6.87141 + 10.5420i −0.318997 + 0.489402i
\(465\) 4.15426 + 13.5639i 0.192649 + 0.629009i
\(466\) 1.70354 1.89037i 0.0789150 0.0875696i
\(467\) −11.1769 34.3990i −0.517205 1.59179i −0.779233 0.626734i \(-0.784391\pi\)
0.262028 0.965060i \(-0.415609\pi\)
\(468\) −2.75891 + 12.9260i −0.127531 + 0.597505i
\(469\) −5.09875 + 10.0069i −0.235438 + 0.462074i
\(470\) −21.8848 + 12.1331i −1.00947 + 0.559657i
\(471\) −2.35150 + 7.23719i −0.108352 + 0.333472i
\(472\) −7.47135 5.44272i −0.343897 0.250521i
\(473\) −9.62373 1.52425i −0.442500 0.0700851i
\(474\) 10.5590 8.54311i 0.484989 0.392398i
\(475\) 0.849176 + 6.85962i 0.0389629 + 0.314741i
\(476\) 5.08465 + 1.08526i 0.233055 + 0.0497429i
\(477\) 18.4938 + 25.4545i 0.846773 + 1.16548i
\(478\) −29.7987 + 11.4242i −1.36296 + 0.522531i
\(479\) −5.95452 + 18.3261i −0.272069 + 0.837342i 0.717911 + 0.696135i \(0.245098\pi\)
−0.989980 + 0.141207i \(0.954902\pi\)
\(480\) −9.21977 + 2.28295i −0.420823 + 0.104202i
\(481\) −1.69218 5.20800i −0.0771568 0.237464i
\(482\) 18.9391 + 23.4081i 0.862654 + 1.06621i
\(483\) 3.85908 1.25389i 0.175594 0.0570541i
\(484\) −9.77185 10.8712i −0.444175 0.494144i
\(485\) −8.89702 9.20397i −0.403993 0.417931i
\(486\) −5.65750 + 21.0785i −0.256630 + 0.956140i
\(487\) 6.55987 + 41.4174i 0.297256 + 1.87680i 0.456739 + 0.889601i \(0.349017\pi\)
−0.159483 + 0.987201i \(0.550983\pi\)
\(488\) −5.38282 7.42858i −0.243669 0.336276i
\(489\) −7.84392 + 5.69894i −0.354714 + 0.257715i
\(490\) 19.3286 0.676419i 0.873179 0.0305575i
\(491\) −4.18273 26.4087i −0.188764 1.19181i −0.882054 0.471149i \(-0.843839\pi\)
0.693290 0.720659i \(-0.256161\pi\)
\(492\) −3.09590 + 0.322751i −0.139574 + 0.0145507i
\(493\) 8.69819 0.391747
\(494\) −5.18794 + 1.10044i −0.233417 + 0.0495113i
\(495\) −4.90884 + 9.24326i −0.220636 + 0.415454i
\(496\) 25.0760 + 22.6553i 1.12595 + 1.01725i
\(497\) 1.31724 0.671168i 0.0590864 0.0301060i
\(498\) −8.61515 2.31232i −0.386054 0.103618i
\(499\) −8.50484 8.50484i −0.380729 0.380729i 0.490636 0.871365i \(-0.336765\pi\)
−0.871365 + 0.490636i \(0.836765\pi\)
\(500\) −8.02684 20.8703i −0.358971 0.933349i
\(501\) −6.03252 + 6.03252i −0.269513 + 0.269513i
\(502\) 2.47512 + 4.29121i 0.110470 + 0.191526i
\(503\) 13.7270 + 26.9408i 0.612057 + 1.20123i 0.964173 + 0.265273i \(0.0854620\pi\)
−0.352117 + 0.935956i \(0.614538\pi\)
\(504\) 3.81461 5.23641i 0.169916 0.233248i
\(505\) 3.14292 + 1.66912i 0.139858 + 0.0742747i
\(506\) −8.51062 + 13.0931i −0.378343 + 0.582060i
\(507\) 4.23596i 0.188126i
\(508\) 7.06728 8.71231i 0.313560 0.386546i
\(509\) 1.24647 0.197422i 0.0552490 0.00875058i −0.128749 0.991677i \(-0.541096\pi\)
0.183998 + 0.982927i \(0.441096\pi\)
\(510\) 4.80195 + 4.47722i 0.212634 + 0.198255i
\(511\) −8.89116 12.2376i −0.393322 0.541361i
\(512\) −16.0607 + 15.9391i −0.709787 + 0.704416i
\(513\) −5.57348 + 0.882752i −0.246075 + 0.0389744i
\(514\) −11.8990 20.6298i −0.524842 0.909940i
\(515\) 9.96826 9.63582i 0.439254 0.424605i
\(516\) 5.09158 + 5.66438i 0.224144 + 0.249360i
\(517\) −4.69797 14.4589i −0.206617 0.635900i
\(518\) −0.281694 + 2.66930i −0.0123769 + 0.117282i
\(519\) −4.24125 + 1.37807i −0.186170 + 0.0604904i
\(520\) 15.4261 7.50914i 0.676481 0.329298i
\(521\) 25.0452 + 8.13768i 1.09725 + 0.356518i 0.801044 0.598606i \(-0.204278\pi\)
0.296206 + 0.955124i \(0.404278\pi\)
\(522\) 4.41260 9.89961i 0.193134 0.433294i
\(523\) −12.8584 + 9.34215i −0.562257 + 0.408504i −0.832284 0.554349i \(-0.812967\pi\)
0.270027 + 0.962853i \(0.412967\pi\)
\(524\) 8.81859 + 13.6046i 0.385242 + 0.594318i
\(525\) −3.08914 1.70833i −0.134821 0.0745574i
\(526\) 30.6655 + 3.23616i 1.33708 + 0.141103i
\(527\) 3.65424 23.0720i 0.159181 1.00503i
\(528\) −0.292286 5.76329i −0.0127201 0.250815i
\(529\) −9.54122 3.10013i −0.414836 0.134788i
\(530\) 11.2546 39.2604i 0.488867 1.70536i
\(531\) 7.09384 + 3.61449i 0.307846 + 0.156856i
\(532\) 2.54224 + 0.542612i 0.110220 + 0.0235252i
\(533\) 5.34728 1.73744i 0.231616 0.0752567i
\(534\) −14.7968 + 0.769204i −0.640319 + 0.0332867i
\(535\) −15.7888 + 4.83569i −0.682608 + 0.209065i
\(536\) −15.3766 + 30.0840i −0.664166 + 1.29943i
\(537\) 16.6469 2.63661i 0.718368 0.113778i
\(538\) 22.6573 + 20.4180i 0.976824 + 0.880283i
\(539\) −1.83817 + 11.6058i −0.0791757 + 0.499896i
\(540\) 16.8065 7.12707i 0.723238 0.306700i
\(541\) 6.49257 + 40.9925i 0.279138 + 1.76241i 0.585674 + 0.810546i \(0.300830\pi\)
−0.306537 + 0.951859i \(0.599170\pi\)
\(542\) 16.1684 + 10.5096i 0.694492 + 0.451425i
\(543\) 9.28680 + 9.28680i 0.398535 + 0.398535i
\(544\) 15.2919 + 3.28414i 0.655635 + 0.140806i
\(545\) 11.6459 + 23.8476i 0.498856 + 1.02152i
\(546\) 1.10269 2.47387i 0.0471907 0.105872i
\(547\) 0.349446 1.07549i 0.0149412 0.0459844i −0.943308 0.331919i \(-0.892304\pi\)
0.958249 + 0.285934i \(0.0923040\pi\)
\(548\) 18.5817 + 7.15083i 0.793769 + 0.305468i
\(549\) 5.58718 + 5.58718i 0.238455 + 0.238455i
\(550\) 13.3776 2.36672i 0.570424 0.100917i
\(551\) 4.34894 0.185271
\(552\) 11.6140 3.75736i 0.494323 0.159924i
\(553\) 10.7147 5.45943i 0.455637 0.232159i
\(554\) 14.4041 5.52224i 0.611972 0.234618i
\(555\) −2.03847 + 2.70793i −0.0865281 + 0.114945i
\(556\) −3.23696 + 3.99042i −0.137277 + 0.169231i
\(557\) 5.73422i 0.242967i 0.992593 + 0.121483i \(0.0387651\pi\)
−0.992593 + 0.121483i \(0.961235\pi\)
\(558\) −24.4049 15.8634i −1.03314 0.671551i
\(559\) −11.1301 8.08649i −0.470753 0.342022i
\(560\) −8.40475 + 0.283476i −0.355166 + 0.0119791i
\(561\) −3.22704 + 2.34458i −0.136246 + 0.0989883i
\(562\) 16.3505 0.849973i 0.689703 0.0358540i
\(563\) 2.94349 4.05136i 0.124053 0.170744i −0.742473 0.669876i \(-0.766347\pi\)
0.866526 + 0.499131i \(0.166347\pi\)
\(564\) −4.26812 + 11.0908i −0.179720 + 0.467008i
\(565\) −7.43945 15.2339i −0.312980 0.640896i
\(566\) −0.121178 2.33104i −0.00509350 0.0979810i
\(567\) −1.81123 + 3.55475i −0.0760647 + 0.149285i
\(568\) 3.96518 2.01404i 0.166375 0.0845073i
\(569\) 1.71955 + 5.29224i 0.0720874 + 0.221862i 0.980609 0.195977i \(-0.0627876\pi\)
−0.908521 + 0.417839i \(0.862788\pi\)
\(570\) 2.40089 + 2.23853i 0.100562 + 0.0937618i
\(571\) 28.5543 14.5492i 1.19496 0.608863i 0.260689 0.965423i \(-0.416050\pi\)
0.934273 + 0.356559i \(0.116050\pi\)
\(572\) 2.68934 + 10.0708i 0.112447 + 0.421080i
\(573\) 3.24834 2.36006i 0.135701 0.0985927i
\(574\) −2.74069 0.289227i −0.114394 0.0120721i
\(575\) 12.1706 + 26.0323i 0.507549 + 1.08562i
\(576\) 11.4954 15.7380i 0.478973 0.655751i
\(577\) 4.38706 + 0.694842i 0.182636 + 0.0289267i 0.247082 0.968994i \(-0.420528\pi\)
−0.0644465 + 0.997921i \(0.520528\pi\)
\(578\) 4.73617 + 12.3537i 0.196999 + 0.513848i
\(579\) −3.30904 + 1.68604i −0.137519 + 0.0700695i
\(580\) −13.6523 + 3.39888i −0.566883 + 0.141131i
\(581\) −7.03686 3.58546i −0.291938 0.148750i
\(582\) −6.04584 0.638023i −0.250608 0.0264469i
\(583\) 22.1091 + 11.2651i 0.915665 + 0.466555i
\(584\) −26.7005 36.8480i −1.10487 1.52478i
\(585\) −12.1006 + 8.48189i −0.500298 + 0.350683i
\(586\) −7.41245 + 27.6170i −0.306205 + 1.14085i
\(587\) −10.5903 + 14.5763i −0.437110 + 0.601630i −0.969567 0.244827i \(-0.921269\pi\)
0.532457 + 0.846457i \(0.321269\pi\)
\(588\) 6.83097 6.14020i 0.281704 0.253218i
\(589\) 1.82705 11.5356i 0.0752825 0.475315i
\(590\) −1.97271 10.1446i −0.0812150 0.417648i
\(591\) −7.80286 + 10.7397i −0.320967 + 0.441773i
\(592\) −0.857579 + 8.02891i −0.0352463 + 0.329986i
\(593\) −7.90758 + 7.90758i −0.324725 + 0.324725i −0.850577 0.525851i \(-0.823747\pi\)
0.525851 + 0.850577i \(0.323747\pi\)
\(594\) 2.30139 + 10.8497i 0.0944272 + 0.445169i
\(595\) 3.33649 + 4.75996i 0.136783 + 0.195139i
\(596\) 5.12091 + 19.1762i 0.209760 + 0.785488i
\(597\) 3.90064 12.0049i 0.159642 0.491329i
\(598\) −19.0996 + 11.0164i −0.781041 + 0.450495i
\(599\) 41.4762i 1.69467i 0.531059 + 0.847335i \(0.321794\pi\)
−0.531059 + 0.847335i \(0.678206\pi\)
\(600\) −9.28647 5.15088i −0.379118 0.210284i
\(601\) 38.8034i 1.58282i 0.611284 + 0.791411i \(0.290653\pi\)
−0.611284 + 0.791411i \(0.709347\pi\)
\(602\) 3.36924 + 5.84138i 0.137320 + 0.238077i
\(603\) 8.99241 27.6758i 0.366199 1.12705i
\(604\) −4.15565 2.40394i −0.169091 0.0978150i
\(605\) 0.277104 16.3405i 0.0112659 0.664337i
\(606\) 1.65325 0.350680i 0.0671587 0.0142454i
\(607\) 16.8377 16.8377i 0.683422 0.683422i −0.277348 0.960770i \(-0.589455\pi\)
0.960770 + 0.277348i \(0.0894555\pi\)
\(608\) 7.64569 + 1.64201i 0.310073 + 0.0665923i
\(609\) −1.30550 + 1.79687i −0.0529017 + 0.0728129i
\(610\) 1.24921 10.1803i 0.0505788 0.412187i
\(611\) 3.35798 21.2014i 0.135849 0.857719i
\(612\) −13.4523 0.716392i −0.543778 0.0289585i
\(613\) 9.50613 13.0841i 0.383949 0.528460i −0.572676 0.819782i \(-0.694095\pi\)
0.956625 + 0.291321i \(0.0940948\pi\)
\(614\) −23.0685 6.19162i −0.930969 0.249874i
\(615\) −2.78036 2.09298i −0.112115 0.0843973i
\(616\) 0.805654 5.04535i 0.0324607 0.203283i
\(617\) 8.30915 + 4.23372i 0.334514 + 0.170443i 0.613177 0.789946i \(-0.289891\pi\)
−0.278663 + 0.960389i \(0.589891\pi\)
\(618\) 0.691004 6.54788i 0.0277963 0.263394i
\(619\) 21.1883 + 10.7960i 0.851630 + 0.433927i 0.824606 0.565707i \(-0.191397\pi\)
0.0270243 + 0.999635i \(0.491397\pi\)
\(620\) 3.27997 + 37.6408i 0.131727 + 1.51169i
\(621\) −20.9037 + 10.6510i −0.838837 + 0.427409i
\(622\) −38.2285 + 14.6560i −1.53282 + 0.587653i
\(623\) −12.9569 2.05218i −0.519109 0.0822188i
\(624\) 3.32661 7.43788i 0.133171 0.297753i
\(625\) 9.31908 23.1982i 0.372763 0.927926i
\(626\) 4.60924 43.6767i 0.184222 1.74567i
\(627\) −1.61346 + 1.17225i −0.0644355 + 0.0468151i
\(628\) −10.1488 + 17.5441i −0.404982 + 0.700084i
\(629\) 4.97301 2.53387i 0.198287 0.101032i
\(630\) 7.11003 1.38260i 0.283270 0.0550841i
\(631\) 12.6203 + 38.8412i 0.502405 + 1.54624i 0.805089 + 0.593153i \(0.202117\pi\)
−0.302684 + 0.953091i \(0.597883\pi\)
\(632\) 32.2537 16.3827i 1.28298 0.651667i
\(633\) 6.09131 11.9549i 0.242108 0.475163i
\(634\) 14.3644 0.746726i 0.570482 0.0296563i
\(635\) 12.4195 1.75174i 0.492854 0.0695159i
\(636\) −7.87416 17.7259i −0.312231 0.702878i
\(637\) −9.75192 + 13.4224i −0.386385 + 0.531813i
\(638\) −0.443752 8.53623i −0.0175683 0.337953i
\(639\) −3.09898 + 2.25154i −0.122594 + 0.0890697i
\(640\) −25.2849 + 0.820763i −0.999474 + 0.0324435i
\(641\) −1.45227 1.05513i −0.0573611 0.0416753i 0.558735 0.829346i \(-0.311287\pi\)
−0.616096 + 0.787671i \(0.711287\pi\)
\(642\) −4.27386 + 6.57510i −0.168676 + 0.259498i
\(643\) 34.2928i 1.35238i 0.736729 + 0.676188i \(0.236369\pi\)
−0.736729 + 0.676188i \(0.763631\pi\)
\(644\) 10.7493 1.12062i 0.423580 0.0441586i
\(645\) −0.144384 + 8.51415i −0.00568510 + 0.335244i
\(646\) −1.93498 5.04717i −0.0761309 0.198578i
\(647\) 34.1329 17.3916i 1.34190 0.683733i 0.372229 0.928141i \(-0.378594\pi\)
0.969673 + 0.244408i \(0.0785935\pi\)
\(648\) −5.46223 + 10.6868i −0.214577 + 0.419816i
\(649\) 6.27889 0.246468
\(650\) 18.3468 + 5.59773i 0.719622 + 0.219561i
\(651\) 4.21774 + 4.21774i 0.165306 + 0.165306i
\(652\) −23.6003 + 10.4837i −0.924258 + 0.410572i
\(653\) −2.68317 + 8.25796i −0.105001 + 0.323159i −0.989731 0.142945i \(-0.954343\pi\)
0.884730 + 0.466104i \(0.154343\pi\)
\(654\) 11.5120 + 5.13128i 0.450153 + 0.200649i
\(655\) −3.13874 + 17.8525i −0.122641 + 0.697556i
\(656\) −8.24364 0.880514i −0.321860 0.0343783i
\(657\) 27.7142 + 27.7142i 1.08123 + 1.08123i
\(658\) −5.73422 + 8.82177i −0.223543 + 0.343908i
\(659\) 5.26843 + 33.2636i 0.205229 + 1.29576i 0.848119 + 0.529806i \(0.177735\pi\)
−0.642890 + 0.765958i \(0.722265\pi\)
\(660\) 4.14888 4.94095i 0.161495 0.192326i
\(661\) 7.40880 46.7773i 0.288169 1.81943i −0.240557 0.970635i \(-0.577330\pi\)
0.528726 0.848792i \(-0.322670\pi\)
\(662\) 7.28825 8.08755i 0.283266 0.314332i
\(663\) −5.56268 + 0.881042i −0.216037 + 0.0342168i
\(664\) −21.1552 10.8129i −0.820980 0.419620i
\(665\) 1.66818 + 2.37990i 0.0646894 + 0.0922884i
\(666\) −0.361050 6.94533i −0.0139904 0.269126i
\(667\) 17.1959 5.58730i 0.665829 0.216341i
\(668\) −19.0674 + 12.3596i −0.737739 + 0.478208i
\(669\) 10.5342 + 5.36745i 0.407276 + 0.207518i
\(670\) −35.4947 + 12.9220i −1.37128 + 0.499222i
\(671\) 5.92648 + 1.92563i 0.228789 + 0.0743381i
\(672\) −2.97359 + 2.66609i −0.114709 + 0.102847i
\(673\) −4.87323 + 30.7684i −0.187849 + 1.18603i 0.695923 + 0.718116i \(0.254995\pi\)
−0.883772 + 0.467917i \(0.845005\pi\)
\(674\) 5.09005 48.2328i 0.196061 1.85786i
\(675\) 19.1861 + 6.96158i 0.738472 + 0.267951i
\(676\) 2.35505 11.0338i 0.0905788 0.424378i
\(677\) 1.92840 1.40107i 0.0741146 0.0538474i −0.550111 0.835092i \(-0.685415\pi\)
0.624226 + 0.781244i \(0.285415\pi\)
\(678\) −7.35389 3.27788i −0.282424 0.125886i
\(679\) −5.11915 1.66331i −0.196455 0.0638321i
\(680\) 10.0189 + 14.3320i 0.384209 + 0.549607i
\(681\) −10.9075 + 3.54405i −0.417974 + 0.135808i
\(682\) −22.8288 2.40914i −0.874159 0.0922509i
\(683\) −6.27268 19.3053i −0.240017 0.738697i −0.996416 0.0845866i \(-0.973043\pi\)
0.756399 0.654111i \(-0.226957\pi\)
\(684\) −6.72592 0.358184i −0.257172 0.0136955i
\(685\) 9.76816 + 20.0025i 0.373222 + 0.764255i
\(686\) 15.1070 8.71356i 0.576790 0.332685i
\(687\) 1.47318 0.233329i 0.0562054 0.00890207i
\(688\) 10.1133 + 17.5853i 0.385568 + 0.670434i
\(689\) 20.5933 + 28.3443i 0.784543 + 1.07983i
\(690\) 12.3692 + 5.76673i 0.470888 + 0.219536i
\(691\) −26.1754 + 4.14578i −0.995760 + 0.157713i −0.632985 0.774164i \(-0.718171\pi\)
−0.362775 + 0.931877i \(0.618171\pi\)
\(692\) −11.8138 + 1.23160i −0.449092 + 0.0468183i
\(693\) 4.40066i 0.167167i
\(694\) 0.643873 + 0.418522i 0.0244411 + 0.0158869i
\(695\) −5.68840 + 0.802335i −0.215773 + 0.0304343i
\(696\) −3.93416 + 5.40051i −0.149124 + 0.204706i
\(697\) 2.60164 + 5.10601i 0.0985442 + 0.193404i
\(698\) 35.1524 20.2755i 1.33054 0.767439i
\(699\) 0.955410 0.955410i 0.0361369 0.0361369i
\(700\) −7.09681 6.16730i −0.268234 0.233102i
\(701\) −14.8719 14.8719i −0.561704 0.561704i 0.368087 0.929791i \(-0.380013\pi\)
−0.929791 + 0.368087i \(0.880013\pi\)
\(702\) −4.05950 + 15.1247i −0.153216 + 0.570845i
\(703\) 2.48642 1.26689i 0.0937770 0.0477818i
\(704\) 2.44285 15.1747i 0.0920682 0.571919i
\(705\) −11.9389 + 5.83032i −0.449644 + 0.219583i
\(706\) 2.38084 + 11.2243i 0.0896040 + 0.422430i
\(707\) 1.49632 0.0562750
\(708\) −3.81166 3.09195i −0.143251 0.116203i
\(709\) −0.870120 5.49372i −0.0326780 0.206321i 0.965947 0.258739i \(-0.0833071\pi\)
−0.998625 + 0.0524183i \(0.983307\pi\)
\(710\) 4.77979 + 1.37020i 0.179382 + 0.0514225i
\(711\) −25.2078 + 18.3145i −0.945367 + 0.686849i
\(712\) −38.9703 6.22287i −1.46047 0.233212i
\(713\) −7.59605 47.9596i −0.284474 1.79610i
\(714\) 2.66622 + 0.715619i 0.0997809 + 0.0267814i
\(715\) −5.46612 + 10.2926i −0.204421 + 0.384922i
\(716\) 44.8278 + 2.38727i 1.67529 + 0.0892164i
\(717\) −16.1157 + 5.23629i −0.601850 + 0.195553i
\(718\) 28.2376 22.8467i 1.05382 0.852630i
\(719\) −11.6508 35.8575i −0.434502 1.33726i −0.893596 0.448873i \(-0.851826\pi\)
0.459093 0.888388i \(-0.348174\pi\)
\(720\) 21.3942 4.13216i 0.797314 0.153997i
\(721\) 1.80143 5.54424i 0.0670889 0.206478i
\(722\) 8.65132 + 22.5659i 0.321969 + 0.839817i
\(723\) 9.39725 + 12.9342i 0.349487 + 0.481028i
\(724\) 19.0271 + 29.3534i 0.707137 + 1.09091i
\(725\) −13.7651 7.61224i −0.511222 0.282711i
\(726\) −4.88186 6.03380i −0.181183 0.223935i
\(727\) 2.90663 + 0.460364i 0.107801 + 0.0170740i 0.210102 0.977680i \(-0.432620\pi\)
−0.102301 + 0.994753i \(0.532620\pi\)
\(728\) 4.24767 5.83087i 0.157429 0.216107i
\(729\) 0.352813 1.08585i 0.0130671 0.0402165i
\(730\) 6.19644 50.4972i 0.229341 1.86899i
\(731\) 6.36593 12.4938i 0.235452 0.462101i
\(732\) −2.64947 4.08738i −0.0979274 0.151074i
\(733\) 14.4462 + 44.4609i 0.533584 + 1.64220i 0.746689 + 0.665173i \(0.231642\pi\)
−0.213105 + 0.977029i \(0.568358\pi\)
\(734\) −25.2706 22.7731i −0.932756 0.840571i
\(735\) 10.2677 + 0.174120i 0.378729 + 0.00642251i
\(736\) 32.3410 3.33019i 1.19211 0.122753i
\(737\) −3.59012 22.6671i −0.132244 0.834954i
\(738\) 7.13108 0.370706i 0.262499 0.0136459i
\(739\) 35.1785 + 5.57173i 1.29406 + 0.204960i 0.765225 0.643763i \(-0.222628\pi\)
0.528839 + 0.848722i \(0.322628\pi\)
\(740\) −6.81532 + 5.92031i −0.250536 + 0.217635i
\(741\) −2.78124 + 0.440506i −0.102171 + 0.0161824i
\(742\) −3.56337 16.7992i −0.130815 0.616718i
\(743\) 2.23981 2.23981i 0.0821708 0.0821708i −0.664827 0.746998i \(-0.731495\pi\)
0.746998 + 0.664827i \(0.231495\pi\)
\(744\) 12.6721 + 12.7042i 0.464581 + 0.465759i
\(745\) −10.4083 + 19.5986i −0.381330 + 0.718038i
\(746\) 5.16681 + 13.4770i 0.189170 + 0.493428i
\(747\) 19.4617 + 6.32350i 0.712068 + 0.231365i
\(748\) −9.70930 + 4.31304i −0.355007 + 0.157700i
\(749\) −4.90958 + 4.90958i −0.179392 + 0.179392i
\(750\) −3.68095 11.2877i −0.134409 0.412170i
\(751\) 10.6683i 0.389290i 0.980874 + 0.194645i \(0.0623555\pi\)
−0.980874 + 0.194645i \(0.937644\pi\)
\(752\) −17.2837 + 26.5165i −0.630272 + 0.966956i
\(753\) 1.19415 + 2.34364i 0.0435171 + 0.0854070i
\(754\) 4.91354 11.0235i 0.178941 0.401451i
\(755\) −1.57186 5.13222i −0.0572060 0.186780i
\(756\) 4.83564 5.96123i 0.175871 0.216808i
\(757\) −39.4734 −1.43469 −0.717343 0.696720i \(-0.754642\pi\)
−0.717343 + 0.696720i \(0.754642\pi\)
\(758\) −10.2881 48.5024i −0.373681 1.76169i
\(759\) −4.87367 + 6.70803i −0.176903 + 0.243486i
\(760\) 5.00930 + 7.16574i 0.181706 + 0.259929i
\(761\) −9.50822 13.0869i −0.344673 0.474401i 0.601126 0.799154i \(-0.294719\pi\)
−0.945799 + 0.324753i \(0.894719\pi\)
\(762\) 3.98758 4.42490i 0.144455 0.160297i
\(763\) 9.02794 + 6.55918i 0.326833 + 0.237458i
\(764\) 9.77338 4.34151i 0.353588 0.157070i
\(765\) −10.4680 10.8291i −0.378470 0.391527i
\(766\) −11.6602 + 12.9390i −0.421301 + 0.467506i
\(767\) 7.89917 + 4.02483i 0.285222 + 0.145328i
\(768\) −8.95553 + 8.00901i −0.323155 + 0.289000i
\(769\) −40.7423 + 13.2380i −1.46921 + 0.477374i −0.930868 0.365356i \(-0.880947\pi\)
−0.538337 + 0.842729i \(0.680947\pi\)
\(770\) 4.50112 3.51720i 0.162209 0.126751i
\(771\) −5.74079 11.2669i −0.206750 0.405769i
\(772\) −9.55677 + 2.55209i −0.343956 + 0.0918516i
\(773\) −27.5750 37.9537i −0.991803