Properties

Label 63.2.g.b.4.5
Level $63$
Weight $2$
Character 63.4
Analytic conductor $0.503$
Analytic rank $0$
Dimension $10$
CM no
Inner twists $2$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 63 = 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 63.g (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.503057532734\)
Analytic rank: \(0\)
Dimension: \(10\)
Relative dimension: \(5\) over \(\Q(\zeta_{3})\)
Coefficient field: 10.0.991381711347.1
Defining polynomial: \(x^{10} - 2 x^{9} + 9 x^{8} - 8 x^{7} + 40 x^{6} - 36 x^{5} + 90 x^{4} - 3 x^{3} + 36 x^{2} - 9 x + 9\)
Coefficient ring: \(\Z[a_1, \ldots, a_{4}]\)
Coefficient ring index: \( 3 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 4.5
Root \(1.19343 - 2.06709i\) of defining polynomial
Character \(\chi\) \(=\) 63.4
Dual form 63.2.g.b.16.5

$q$-expansion

\(f(q)\) \(=\) \(q+(1.19343 - 2.06709i) q^{2} +(0.266999 + 1.71135i) q^{3} +(-1.84857 - 3.20182i) q^{4} -2.92087 q^{5} +(3.85615 + 1.49047i) q^{6} +(2.35742 + 1.20106i) q^{7} -4.05086 q^{8} +(-2.85742 + 0.913855i) q^{9} +O(q^{10})\) \(q+(1.19343 - 2.06709i) q^{2} +(0.266999 + 1.71135i) q^{3} +(-1.84857 - 3.20182i) q^{4} -2.92087 q^{5} +(3.85615 + 1.49047i) q^{6} +(2.35742 + 1.20106i) q^{7} -4.05086 q^{8} +(-2.85742 + 0.913855i) q^{9} +(-3.48586 + 6.03769i) q^{10} -1.35371 q^{11} +(4.98586 - 4.01843i) q^{12} +(-0.733001 + 1.26960i) q^{13} +(5.29614 - 3.43961i) q^{14} +(-0.779867 - 4.99862i) q^{15} +(-1.13729 + 1.96984i) q^{16} +(1.65514 - 2.86678i) q^{17} +(-1.52113 + 6.99717i) q^{18} +(-1.10329 - 1.91096i) q^{19} +(5.39943 + 9.35209i) q^{20} +(-1.42601 + 4.35505i) q^{21} +(-1.61557 + 2.79825i) q^{22} +2.62830 q^{23} +(-1.08157 - 6.93243i) q^{24} +3.53146 q^{25} +(1.74958 + 3.03036i) q^{26} +(-2.32685 - 4.64605i) q^{27} +(-0.512277 - 9.76830i) q^{28} +(0.521720 + 0.903646i) q^{29} +(-11.2633 - 4.35347i) q^{30} +(-1.63729 - 2.83587i) q^{31} +(-1.33629 - 2.31453i) q^{32} +(-0.361440 - 2.31668i) q^{33} +(-3.95060 - 6.84263i) q^{34} +(-6.88572 - 3.50815i) q^{35} +(8.20815 + 7.45963i) q^{36} +(5.43773 + 9.41842i) q^{37} -5.26683 q^{38} +(-2.36843 - 0.915440i) q^{39} +11.8320 q^{40} +(-0.904289 + 1.56627i) q^{41} +(7.30044 + 8.14516i) q^{42} +(-2.17129 - 3.76078i) q^{43} +(2.50244 + 4.33435i) q^{44} +(8.34615 - 2.66925i) q^{45} +(3.13670 - 5.43292i) q^{46} +(-1.98957 + 3.44604i) q^{47} +(-3.67474 - 1.42035i) q^{48} +(4.11489 + 5.66283i) q^{49} +(4.21456 - 7.29984i) q^{50} +(5.34798 + 2.06709i) q^{51} +5.42002 q^{52} +(-3.22743 + 5.59008i) q^{53} +(-12.3807 - 0.734945i) q^{54} +3.95402 q^{55} +(-9.54959 - 4.86534i) q^{56} +(2.97574 - 2.39834i) q^{57} +2.49056 q^{58} +(6.10700 + 10.5776i) q^{59} +(-14.5630 + 11.7373i) q^{60} +(-0.279867 + 0.484744i) q^{61} -7.81600 q^{62} +(-7.83376 - 1.27761i) q^{63} -10.9283 q^{64} +(2.14100 - 3.70832i) q^{65} +(-5.22013 - 2.01767i) q^{66} +(-6.40588 - 11.0953i) q^{67} -12.2386 q^{68} +(0.701751 + 4.49793i) q^{69} +(-15.4693 + 10.0467i) q^{70} +12.9177 q^{71} +(11.5750 - 3.70190i) q^{72} +(5.22772 - 9.05467i) q^{73} +25.9583 q^{74} +(0.942894 + 6.04355i) q^{75} +(-4.07903 + 7.06509i) q^{76} +(-3.19128 - 1.62590i) q^{77} +(-4.71886 + 3.80324i) q^{78} +(-0.383838 + 0.664827i) q^{79} +(3.32187 - 5.75365i) q^{80} +(7.32974 - 5.22254i) q^{81} +(2.15842 + 3.73849i) q^{82} +(-0.983707 - 1.70383i) q^{83} +(16.5802 - 3.48480i) q^{84} +(-4.83443 + 8.37348i) q^{85} -10.3652 q^{86} +(-1.40715 + 1.13412i) q^{87} +5.48371 q^{88} +(3.20356 + 5.54872i) q^{89} +(4.44301 - 20.4378i) q^{90} +(-3.25286 + 2.11259i) q^{91} +(-4.85859 - 8.41533i) q^{92} +(4.41601 - 3.55915i) q^{93} +(4.74884 + 8.22524i) q^{94} +(3.22257 + 5.58166i) q^{95} +(3.60418 - 2.90484i) q^{96} +(-4.14143 - 7.17316i) q^{97} +(16.6164 - 1.74763i) q^{98} +(3.86814 - 1.23710i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 10q + 2q^{2} + 2q^{3} - 4q^{4} - 8q^{5} - 2q^{6} - q^{7} - 6q^{8} - 4q^{9} + O(q^{10}) \) \( 10q + 2q^{2} + 2q^{3} - 4q^{4} - 8q^{5} - 2q^{6} - q^{7} - 6q^{8} - 4q^{9} - 7q^{10} - 8q^{11} + 22q^{12} - 8q^{13} + 16q^{14} - 19q^{15} + 2q^{16} + 12q^{17} - 2q^{18} + q^{19} + 5q^{20} - 2q^{21} - q^{22} - 6q^{23} + 3q^{24} + 2q^{25} + 11q^{26} - 7q^{27} - 2q^{28} + 7q^{29} - 26q^{30} - 3q^{31} - 2q^{32} - q^{33} + 3q^{34} + 5q^{35} + 34q^{36} - 40q^{38} + 20q^{39} + 6q^{40} + 5q^{41} + 32q^{42} - 7q^{43} - 10q^{44} - q^{45} + 3q^{46} + 27q^{47} - 5q^{48} + 25q^{49} + 19q^{50} + 24q^{51} + 20q^{52} - 21q^{53} - 53q^{54} + 4q^{55} - 45q^{56} - 4q^{57} + 20q^{58} + 30q^{59} - 41q^{60} - 14q^{61} - 12q^{62} - 35q^{63} - 50q^{64} - 11q^{65} - 41q^{66} - 2q^{67} - 54q^{68} + 15q^{69} - 29q^{70} - 6q^{71} + 48q^{72} + 15q^{73} + 72q^{74} + 31q^{75} + 5q^{76} - 31q^{77} - 20q^{78} - 4q^{79} + 20q^{80} + 8q^{81} - 5q^{82} + 9q^{83} + 2q^{84} - 6q^{85} + 16q^{86} + 32q^{87} + 36q^{88} + 28q^{89} + 28q^{90} - 4q^{91} + 27q^{92} - 12q^{93} - 3q^{94} - 14q^{95} - q^{96} - 12q^{97} + 59q^{98} + 35q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/63\mathbb{Z}\right)^\times\).

\(n\) \(10\) \(29\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.19343 2.06709i 0.843886 1.46165i −0.0426999 0.999088i \(-0.513596\pi\)
0.886585 0.462565i \(-0.153071\pi\)
\(3\) 0.266999 + 1.71135i 0.154152 + 0.988047i
\(4\) −1.84857 3.20182i −0.924286 1.60091i
\(5\) −2.92087 −1.30625 −0.653125 0.757250i \(-0.726543\pi\)
−0.653125 + 0.757250i \(0.726543\pi\)
\(6\) 3.85615 + 1.49047i 1.57427 + 0.608483i
\(7\) 2.35742 + 1.20106i 0.891022 + 0.453959i
\(8\) −4.05086 −1.43219
\(9\) −2.85742 + 0.913855i −0.952475 + 0.304618i
\(10\) −3.48586 + 6.03769i −1.10233 + 1.90929i
\(11\) −1.35371 −0.408160 −0.204080 0.978954i \(-0.565420\pi\)
−0.204080 + 0.978954i \(0.565420\pi\)
\(12\) 4.98586 4.01843i 1.43929 1.16002i
\(13\) −0.733001 + 1.26960i −0.203298 + 0.352123i −0.949589 0.313497i \(-0.898499\pi\)
0.746291 + 0.665620i \(0.231833\pi\)
\(14\) 5.29614 3.43961i 1.41545 0.919275i
\(15\) −0.779867 4.99862i −0.201361 1.29064i
\(16\) −1.13729 + 1.96984i −0.284323 + 0.492461i
\(17\) 1.65514 2.86678i 0.401430 0.695297i −0.592469 0.805593i \(-0.701847\pi\)
0.993899 + 0.110297i \(0.0351801\pi\)
\(18\) −1.52113 + 6.99717i −0.358533 + 1.64925i
\(19\) −1.10329 1.91096i −0.253113 0.438404i 0.711268 0.702921i \(-0.248121\pi\)
−0.964381 + 0.264516i \(0.914788\pi\)
\(20\) 5.39943 + 9.35209i 1.20735 + 2.09119i
\(21\) −1.42601 + 4.35505i −0.311181 + 0.950351i
\(22\) −1.61557 + 2.79825i −0.344441 + 0.596589i
\(23\) 2.62830 0.548038 0.274019 0.961724i \(-0.411647\pi\)
0.274019 + 0.961724i \(0.411647\pi\)
\(24\) −1.08157 6.93243i −0.220775 1.41508i
\(25\) 3.53146 0.706292
\(26\) 1.74958 + 3.03036i 0.343121 + 0.594302i
\(27\) −2.32685 4.64605i −0.447803 0.894132i
\(28\) −0.512277 9.76830i −0.0968112 1.84603i
\(29\) 0.521720 + 0.903646i 0.0968810 + 0.167803i 0.910392 0.413747i \(-0.135780\pi\)
−0.813511 + 0.581549i \(0.802447\pi\)
\(30\) −11.2633 4.35347i −2.05639 0.794831i
\(31\) −1.63729 2.83587i −0.294066 0.509337i 0.680701 0.732561i \(-0.261675\pi\)
−0.974767 + 0.223224i \(0.928342\pi\)
\(32\) −1.33629 2.31453i −0.236226 0.409155i
\(33\) −0.361440 2.31668i −0.0629186 0.403282i
\(34\) −3.95060 6.84263i −0.677521 1.17350i
\(35\) −6.88572 3.50815i −1.16390 0.592985i
\(36\) 8.20815 + 7.45963i 1.36803 + 1.24327i
\(37\) 5.43773 + 9.41842i 0.893957 + 1.54838i 0.835090 + 0.550113i \(0.185415\pi\)
0.0588664 + 0.998266i \(0.481251\pi\)
\(38\) −5.26683 −0.854393
\(39\) −2.36843 0.915440i −0.379252 0.146588i
\(40\) 11.8320 1.87081
\(41\) −0.904289 + 1.56627i −0.141226 + 0.244611i −0.927959 0.372683i \(-0.878438\pi\)
0.786732 + 0.617294i \(0.211771\pi\)
\(42\) 7.30044 + 8.14516i 1.12648 + 1.25683i
\(43\) −2.17129 3.76078i −0.331118 0.573514i 0.651613 0.758551i \(-0.274093\pi\)
−0.982731 + 0.185038i \(0.940759\pi\)
\(44\) 2.50244 + 4.33435i 0.377257 + 0.653428i
\(45\) 8.34615 2.66925i 1.24417 0.397908i
\(46\) 3.13670 5.43292i 0.462481 0.801041i
\(47\) −1.98957 + 3.44604i −0.290209 + 0.502656i −0.973859 0.227154i \(-0.927058\pi\)
0.683650 + 0.729810i \(0.260391\pi\)
\(48\) −3.67474 1.42035i −0.530404 0.205010i
\(49\) 4.11489 + 5.66283i 0.587842 + 0.808976i
\(50\) 4.21456 7.29984i 0.596029 1.03235i
\(51\) 5.34798 + 2.06709i 0.748867 + 0.289450i
\(52\) 5.42002 0.751622
\(53\) −3.22743 + 5.59008i −0.443322 + 0.767856i −0.997934 0.0642533i \(-0.979533\pi\)
0.554612 + 0.832109i \(0.312867\pi\)
\(54\) −12.3807 0.734945i −1.68481 0.100013i
\(55\) 3.95402 0.533160
\(56\) −9.54959 4.86534i −1.27612 0.650158i
\(57\) 2.97574 2.39834i 0.394146 0.317668i
\(58\) 2.49056 0.327026
\(59\) 6.10700 + 10.5776i 0.795064 + 1.37709i 0.922799 + 0.385283i \(0.125896\pi\)
−0.127735 + 0.991808i \(0.540771\pi\)
\(60\) −14.5630 + 11.7373i −1.88008 + 1.51528i
\(61\) −0.279867 + 0.484744i −0.0358333 + 0.0620651i −0.883386 0.468646i \(-0.844742\pi\)
0.847553 + 0.530711i \(0.178075\pi\)
\(62\) −7.81600 −0.992632
\(63\) −7.83376 1.27761i −0.986960 0.160963i
\(64\) −10.9283 −1.36604
\(65\) 2.14100 3.70832i 0.265558 0.459960i
\(66\) −5.22013 2.01767i −0.642554 0.248359i
\(67\) −6.40588 11.0953i −0.782603 1.35551i −0.930420 0.366494i \(-0.880558\pi\)
0.147817 0.989015i \(-0.452775\pi\)
\(68\) −12.2386 −1.48414
\(69\) 0.701751 + 4.49793i 0.0844809 + 0.541487i
\(70\) −15.4693 + 10.0467i −1.84894 + 1.20080i
\(71\) 12.9177 1.53305 0.766525 0.642214i \(-0.221984\pi\)
0.766525 + 0.642214i \(0.221984\pi\)
\(72\) 11.5750 3.70190i 1.36413 0.436273i
\(73\) 5.22772 9.05467i 0.611858 1.05977i −0.379069 0.925368i \(-0.623756\pi\)
0.990927 0.134401i \(-0.0429109\pi\)
\(74\) 25.9583 3.01759
\(75\) 0.942894 + 6.04355i 0.108876 + 0.697849i
\(76\) −4.07903 + 7.06509i −0.467897 + 0.810422i
\(77\) −3.19128 1.62590i −0.363680 0.185288i
\(78\) −4.71886 + 3.80324i −0.534306 + 0.430632i
\(79\) −0.383838 + 0.664827i −0.0431852 + 0.0747989i −0.886810 0.462134i \(-0.847084\pi\)
0.843625 + 0.536933i \(0.180417\pi\)
\(80\) 3.32187 5.75365i 0.371397 0.643278i
\(81\) 7.32974 5.22254i 0.814415 0.580282i
\(82\) 2.15842 + 3.73849i 0.238358 + 0.412847i
\(83\) −0.983707 1.70383i −0.107976 0.187020i 0.806974 0.590587i \(-0.201104\pi\)
−0.914950 + 0.403567i \(0.867770\pi\)
\(84\) 16.5802 3.48480i 1.80905 0.380223i
\(85\) −4.83443 + 8.37348i −0.524368 + 0.908232i
\(86\) −10.3652 −1.11770
\(87\) −1.40715 + 1.13412i −0.150863 + 0.121590i
\(88\) 5.48371 0.584565
\(89\) 3.20356 + 5.54872i 0.339576 + 0.588163i 0.984353 0.176208i \(-0.0563830\pi\)
−0.644777 + 0.764371i \(0.723050\pi\)
\(90\) 4.44301 20.4378i 0.468335 2.15433i
\(91\) −3.25286 + 2.11259i −0.340992 + 0.221460i
\(92\) −4.85859 8.41533i −0.506543 0.877359i
\(93\) 4.41601 3.55915i 0.457919 0.369066i
\(94\) 4.74884 + 8.22524i 0.489806 + 0.848369i
\(95\) 3.22257 + 5.58166i 0.330629 + 0.572666i
\(96\) 3.60418 2.90484i 0.367850 0.296474i
\(97\) −4.14143 7.17316i −0.420498 0.728324i 0.575490 0.817809i \(-0.304811\pi\)
−0.995988 + 0.0894847i \(0.971478\pi\)
\(98\) 16.6164 1.74763i 1.67851 0.176537i
\(99\) 3.86814 1.23710i 0.388762 0.124333i
\(100\) −6.52815 11.3071i −0.652815 1.13071i
\(101\) −16.2266 −1.61461 −0.807305 0.590134i \(-0.799075\pi\)
−0.807305 + 0.590134i \(0.799075\pi\)
\(102\) 10.6553 8.58782i 1.05503 0.850320i
\(103\) −2.22683 −0.219416 −0.109708 0.993964i \(-0.534992\pi\)
−0.109708 + 0.993964i \(0.534992\pi\)
\(104\) 2.96929 5.14295i 0.291162 0.504308i
\(105\) 4.16518 12.7205i 0.406480 1.24140i
\(106\) 7.70346 + 13.3428i 0.748226 + 1.29597i
\(107\) −8.75403 15.1624i −0.846284 1.46581i −0.884501 0.466537i \(-0.845501\pi\)
0.0382175 0.999269i \(-0.487832\pi\)
\(108\) −10.5745 + 16.0387i −1.01753 + 1.54333i
\(109\) −7.79917 + 13.5086i −0.747025 + 1.29388i 0.202218 + 0.979341i \(0.435185\pi\)
−0.949243 + 0.314544i \(0.898148\pi\)
\(110\) 4.71886 8.17331i 0.449926 0.779295i
\(111\) −14.6663 + 11.8205i −1.39207 + 1.12196i
\(112\) −5.04698 + 3.27780i −0.476895 + 0.309723i
\(113\) −0.844555 + 1.46281i −0.0794491 + 0.137610i −0.903012 0.429615i \(-0.858649\pi\)
0.823563 + 0.567224i \(0.191983\pi\)
\(114\) −1.40624 9.01338i −0.131706 0.844181i
\(115\) −7.67690 −0.715875
\(116\) 1.92887 3.34091i 0.179092 0.310196i
\(117\) 0.934270 4.29763i 0.0863733 0.397316i
\(118\) 29.1532 2.68377
\(119\) 7.34505 4.77029i 0.673319 0.437292i
\(120\) 3.15913 + 20.2487i 0.288388 + 1.84844i
\(121\) −9.16746 −0.833405
\(122\) 0.668005 + 1.15702i 0.0604784 + 0.104752i
\(123\) −2.92188 1.12936i −0.263457 0.101831i
\(124\) −6.05330 + 10.4846i −0.543602 + 0.941546i
\(125\) 4.28942 0.383657
\(126\) −11.9900 + 14.6683i −1.06815 + 1.30676i
\(127\) −3.96918 −0.352208 −0.176104 0.984372i \(-0.556350\pi\)
−0.176104 + 0.984372i \(0.556350\pi\)
\(128\) −10.3696 + 17.9607i −0.916552 + 1.58751i
\(129\) 5.85627 4.71995i 0.515616 0.415569i
\(130\) −5.11028 8.85127i −0.448202 0.776308i
\(131\) 5.32863 0.465565 0.232782 0.972529i \(-0.425217\pi\)
0.232782 + 0.972529i \(0.425217\pi\)
\(132\) −6.74944 + 5.43981i −0.587463 + 0.473475i
\(133\) −0.305745 5.83007i −0.0265115 0.505531i
\(134\) −30.5800 −2.64171
\(135\) 6.79642 + 13.5705i 0.584943 + 1.16796i
\(136\) −6.70473 + 11.6129i −0.574925 + 0.995800i
\(137\) −7.49543 −0.640378 −0.320189 0.947354i \(-0.603746\pi\)
−0.320189 + 0.947354i \(0.603746\pi\)
\(138\) 10.1351 + 3.91740i 0.862758 + 0.333471i
\(139\) 7.03285 12.1812i 0.596518 1.03320i −0.396812 0.917900i \(-0.629884\pi\)
0.993331 0.115300i \(-0.0367830\pi\)
\(140\) 1.49629 + 28.5319i 0.126460 + 2.41138i
\(141\) −6.42858 2.48476i −0.541384 0.209255i
\(142\) 15.4164 26.7021i 1.29372 2.24079i
\(143\) 0.992275 1.71867i 0.0829782 0.143722i
\(144\) 1.44957 6.66800i 0.120797 0.555667i
\(145\) −1.52388 2.63943i −0.126551 0.219193i
\(146\) −12.4779 21.6123i −1.03268 1.78865i
\(147\) −8.59241 + 8.55398i −0.708690 + 0.705520i
\(148\) 20.1041 34.8212i 1.65254 2.86229i
\(149\) 2.17971 0.178569 0.0892846 0.996006i \(-0.471542\pi\)
0.0892846 + 0.996006i \(0.471542\pi\)
\(150\) 13.6178 + 5.26354i 1.11189 + 0.429766i
\(151\) 14.0277 1.14156 0.570781 0.821102i \(-0.306641\pi\)
0.570781 + 0.821102i \(0.306641\pi\)
\(152\) 4.46929 + 7.74103i 0.362507 + 0.627880i
\(153\) −2.10961 + 9.70416i −0.170552 + 0.784535i
\(154\) −7.16946 + 4.65626i −0.577731 + 0.375212i
\(155\) 4.78231 + 8.28320i 0.384124 + 0.665322i
\(156\) 1.44714 + 9.27554i 0.115864 + 0.742638i
\(157\) −1.48312 2.56883i −0.118365 0.205015i 0.800755 0.598993i \(-0.204432\pi\)
−0.919120 + 0.393978i \(0.871099\pi\)
\(158\) 0.916172 + 1.58686i 0.0728867 + 0.126243i
\(159\) −10.4283 4.03072i −0.827017 0.319657i
\(160\) 3.90314 + 6.76043i 0.308570 + 0.534459i
\(161\) 6.19601 + 3.15675i 0.488314 + 0.248787i
\(162\) −2.04789 21.3840i −0.160898 1.68008i
\(163\) −0.194278 0.336499i −0.0152170 0.0263566i 0.858317 0.513120i \(-0.171511\pi\)
−0.873534 + 0.486764i \(0.838177\pi\)
\(164\) 6.68657 0.522133
\(165\) 1.05572 + 6.76670i 0.0821875 + 0.526787i
\(166\) −4.69596 −0.364477
\(167\) 3.64889 6.32006i 0.282360 0.489061i −0.689606 0.724185i \(-0.742216\pi\)
0.971965 + 0.235124i \(0.0755496\pi\)
\(168\) 5.77656 17.6417i 0.445671 1.36109i
\(169\) 5.42542 + 9.39710i 0.417340 + 0.722854i
\(170\) 11.5392 + 19.9864i 0.885013 + 1.53289i
\(171\) 4.89892 + 4.45217i 0.374630 + 0.340466i
\(172\) −8.02756 + 13.9041i −0.612096 + 1.06018i
\(173\) 2.02754 3.51181i 0.154151 0.266998i −0.778598 0.627522i \(-0.784069\pi\)
0.932750 + 0.360525i \(0.117402\pi\)
\(174\) 0.664975 + 4.26221i 0.0504116 + 0.323117i
\(175\) 8.32514 + 4.24151i 0.629322 + 0.320628i
\(176\) 1.53957 2.66661i 0.116049 0.201003i
\(177\) −16.4715 + 13.2754i −1.23807 + 0.997842i
\(178\) 15.2929 1.14625
\(179\) 5.29243 9.16675i 0.395575 0.685155i −0.597600 0.801795i \(-0.703879\pi\)
0.993174 + 0.116639i \(0.0372121\pi\)
\(180\) −23.9749 21.7886i −1.78698 1.62402i
\(181\) −19.6312 −1.45917 −0.729586 0.683889i \(-0.760287\pi\)
−0.729586 + 0.683889i \(0.760287\pi\)
\(182\) 0.484844 + 9.24519i 0.0359390 + 0.685299i
\(183\) −0.904289 0.349524i −0.0668470 0.0258375i
\(184\) −10.6469 −0.784896
\(185\) −15.8829 27.5099i −1.16773 2.02257i
\(186\) −2.08686 13.3759i −0.153016 0.980768i
\(187\) −2.24058 + 3.88081i −0.163848 + 0.283793i
\(188\) 14.7115 1.07294
\(189\) 0.0948259 13.7474i 0.00689757 0.999976i
\(190\) 15.3837 1.11605
\(191\) −4.14357 + 7.17688i −0.299818 + 0.519301i −0.976094 0.217348i \(-0.930259\pi\)
0.676276 + 0.736648i \(0.263593\pi\)
\(192\) −2.91784 18.7021i −0.210577 1.34971i
\(193\) 9.39242 + 16.2682i 0.676082 + 1.17101i 0.976152 + 0.217090i \(0.0696566\pi\)
−0.300070 + 0.953917i \(0.597010\pi\)
\(194\) −19.7701 −1.41941
\(195\) 6.91787 + 2.67388i 0.495399 + 0.191480i
\(196\) 10.5247 23.6433i 0.751764 1.68881i
\(197\) 5.99634 0.427222 0.213611 0.976919i \(-0.431478\pi\)
0.213611 + 0.976919i \(0.431478\pi\)
\(198\) 2.05917 9.47218i 0.146339 0.673159i
\(199\) 7.20434 12.4783i 0.510702 0.884562i −0.489221 0.872160i \(-0.662719\pi\)
0.999923 0.0124022i \(-0.00394785\pi\)
\(200\) −14.3054 −1.01155
\(201\) 17.2776 13.9251i 1.21867 0.982203i
\(202\) −19.3654 + 33.5419i −1.36255 + 2.36000i
\(203\) 0.144579 + 2.75690i 0.0101475 + 0.193496i
\(204\) −3.26768 20.9444i −0.228783 1.46640i
\(205\) 2.64131 4.57488i 0.184477 0.319523i
\(206\) −2.65758 + 4.60306i −0.185162 + 0.320710i
\(207\) −7.51015 + 2.40188i −0.521992 + 0.166942i
\(208\) −1.66727 2.88780i −0.115604 0.200233i
\(209\) 1.49354 + 2.58690i 0.103311 + 0.178939i
\(210\) −21.3236 23.7909i −1.47147 1.64173i
\(211\) −6.92418 + 11.9930i −0.476680 + 0.825634i −0.999643 0.0267212i \(-0.991493\pi\)
0.522963 + 0.852356i \(0.324827\pi\)
\(212\) 23.8646 1.63902
\(213\) 3.44901 + 22.1067i 0.236322 + 1.51473i
\(214\) −41.7894 −2.85667
\(215\) 6.34204 + 10.9847i 0.432523 + 0.749153i
\(216\) 9.42574 + 18.8205i 0.641341 + 1.28057i
\(217\) −0.453726 8.65184i −0.0308010 0.587325i
\(218\) 18.6156 + 32.2431i 1.26081 + 2.18378i
\(219\) 16.8915 + 6.52886i 1.14142 + 0.441179i
\(220\) −7.30929 12.6601i −0.492792 0.853541i
\(221\) 2.42644 + 4.20271i 0.163220 + 0.282705i
\(222\) 6.93082 + 44.4237i 0.465166 + 2.98152i
\(223\) 2.33756 + 4.04878i 0.156535 + 0.271126i 0.933617 0.358273i \(-0.116634\pi\)
−0.777082 + 0.629399i \(0.783301\pi\)
\(224\) −0.370314 7.06130i −0.0247427 0.471803i
\(225\) −10.0909 + 3.22724i −0.672725 + 0.215149i
\(226\) 2.01584 + 3.49154i 0.134092 + 0.232254i
\(227\) 19.7126 1.30837 0.654187 0.756333i \(-0.273011\pi\)
0.654187 + 0.756333i \(0.273011\pi\)
\(228\) −13.1799 5.09428i −0.872862 0.337377i
\(229\) 28.0728 1.85510 0.927552 0.373694i \(-0.121909\pi\)
0.927552 + 0.373694i \(0.121909\pi\)
\(230\) −9.16188 + 15.8688i −0.604116 + 1.04636i
\(231\) 1.93041 5.89550i 0.127012 0.387896i
\(232\) −2.11342 3.66054i −0.138753 0.240326i
\(233\) −6.90113 11.9531i −0.452108 0.783074i 0.546409 0.837518i \(-0.315994\pi\)
−0.998517 + 0.0544448i \(0.982661\pi\)
\(234\) −7.76859 7.06016i −0.507849 0.461537i
\(235\) 5.81127 10.0654i 0.379085 0.656595i
\(236\) 22.5785 39.1070i 1.46973 2.54565i
\(237\) −1.24024 0.479373i −0.0805619 0.0311386i
\(238\) −1.09479 20.8759i −0.0709647 1.35318i
\(239\) 5.53069 9.57944i 0.357751 0.619642i −0.629834 0.776730i \(-0.716877\pi\)
0.987585 + 0.157087i \(0.0502104\pi\)
\(240\) 10.7334 + 4.14866i 0.692840 + 0.267795i
\(241\) −23.1697 −1.49249 −0.746247 0.665669i \(-0.768146\pi\)
−0.746247 + 0.665669i \(0.768146\pi\)
\(242\) −10.9408 + 18.9499i −0.703299 + 1.21815i
\(243\) 10.8946 + 11.1493i 0.698890 + 0.715229i
\(244\) 2.06942 0.132481
\(245\) −12.0190 16.5404i −0.767869 1.05673i
\(246\) −5.82157 + 4.69198i −0.371169 + 0.299150i
\(247\) 3.23486 0.205829
\(248\) 6.63243 + 11.4877i 0.421160 + 0.729470i
\(249\) 2.65320 2.13839i 0.168140 0.135515i
\(250\) 5.11914 8.86660i 0.323763 0.560773i
\(251\) −7.78402 −0.491323 −0.245662 0.969356i \(-0.579005\pi\)
−0.245662 + 0.969356i \(0.579005\pi\)
\(252\) 10.3906 + 27.4440i 0.654546 + 1.72881i
\(253\) −3.55796 −0.223687
\(254\) −4.73696 + 8.20466i −0.297223 + 0.514806i
\(255\) −15.6207 6.03769i −0.978208 0.378095i
\(256\) 13.8226 + 23.9414i 0.863912 + 1.49634i
\(257\) 10.3760 0.647235 0.323618 0.946188i \(-0.395101\pi\)
0.323618 + 0.946188i \(0.395101\pi\)
\(258\) −2.76748 17.7384i −0.172296 1.10434i
\(259\) 1.50690 + 28.7343i 0.0936345 + 1.78546i
\(260\) −15.8312 −0.981807
\(261\) −2.31658 2.10532i −0.143393 0.130316i
\(262\) 6.35937 11.0148i 0.392883 0.680494i
\(263\) −19.1331 −1.17980 −0.589898 0.807478i \(-0.700832\pi\)
−0.589898 + 0.807478i \(0.700832\pi\)
\(264\) 1.46414 + 9.38453i 0.0901117 + 0.577578i
\(265\) 9.42689 16.3279i 0.579090 1.00301i
\(266\) −12.4162 6.32580i −0.761283 0.387860i
\(267\) −8.64045 + 6.96390i −0.528787 + 0.426184i
\(268\) −23.6835 + 41.0210i −1.44670 + 2.50576i
\(269\) −4.41840 + 7.65290i −0.269395 + 0.466605i −0.968706 0.248212i \(-0.920157\pi\)
0.699311 + 0.714818i \(0.253490\pi\)
\(270\) 36.1625 + 2.14668i 2.20078 + 0.130643i
\(271\) −9.16955 15.8821i −0.557010 0.964770i −0.997744 0.0671321i \(-0.978615\pi\)
0.440734 0.897638i \(-0.354718\pi\)
\(272\) 3.76474 + 6.52073i 0.228271 + 0.395377i
\(273\) −4.48389 5.00272i −0.271377 0.302778i
\(274\) −8.94531 + 15.4937i −0.540406 + 0.936010i
\(275\) −4.78059 −0.288280
\(276\) 13.1043 10.5616i 0.788787 0.635735i
\(277\) 5.10482 0.306719 0.153360 0.988170i \(-0.450991\pi\)
0.153360 + 0.988170i \(0.450991\pi\)
\(278\) −16.7865 29.0750i −1.00679 1.74381i
\(279\) 7.27001 + 6.60704i 0.435244 + 0.395553i
\(280\) 27.8931 + 14.2110i 1.66693 + 0.849270i
\(281\) −0.853180 1.47775i −0.0508964 0.0881552i 0.839455 0.543430i \(-0.182875\pi\)
−0.890351 + 0.455274i \(0.849541\pi\)
\(282\) −12.8083 + 10.3231i −0.762724 + 0.614729i
\(283\) 6.24415 + 10.8152i 0.371176 + 0.642896i 0.989747 0.142833i \(-0.0456213\pi\)
−0.618571 + 0.785729i \(0.712288\pi\)
\(284\) −23.8793 41.3602i −1.41698 2.45428i
\(285\) −8.69174 + 7.00524i −0.514854 + 0.414954i
\(286\) −2.36843 4.10224i −0.140048 0.242571i
\(287\) −4.01299 + 2.60626i −0.236879 + 0.153843i
\(288\) 5.93351 + 5.39242i 0.349635 + 0.317751i
\(289\) 3.02104 + 5.23260i 0.177708 + 0.307800i
\(290\) −7.27458 −0.427178
\(291\) 11.1700 9.00264i 0.654798 0.527744i
\(292\) −38.6552 −2.26213
\(293\) −2.60202 + 4.50684i −0.152012 + 0.263292i −0.931967 0.362543i \(-0.881909\pi\)
0.779955 + 0.625835i \(0.215242\pi\)
\(294\) 7.42737 + 27.9699i 0.433173 + 1.63124i
\(295\) −17.8377 30.8959i −1.03855 1.79883i
\(296\) −22.0275 38.1527i −1.28032 2.21758i
\(297\) 3.14989 + 6.28942i 0.182775 + 0.364949i
\(298\) 2.60135 4.50566i 0.150692 0.261006i
\(299\) −1.92654 + 3.33687i −0.111415 + 0.192976i
\(300\) 17.6074 14.1909i 1.01656 0.819313i
\(301\) −0.601708 11.4736i −0.0346819 0.661328i
\(302\) 16.7412 28.9966i 0.963347 1.66857i
\(303\) −4.33249 27.7694i −0.248895 1.59531i
\(304\) 5.01906 0.287863
\(305\) 0.817453 1.41587i 0.0468072 0.0810725i
\(306\) 17.5417 + 15.9420i 1.00279 + 0.911345i
\(307\) 5.00136 0.285442 0.142721 0.989763i \(-0.454415\pi\)
0.142721 + 0.989763i \(0.454415\pi\)
\(308\) 0.693477 + 13.2235i 0.0395145 + 0.753478i
\(309\) −0.594560 3.81088i −0.0338234 0.216793i
\(310\) 22.8295 1.29663
\(311\) 16.1984 + 28.0565i 0.918528 + 1.59094i 0.801652 + 0.597791i \(0.203955\pi\)
0.116876 + 0.993146i \(0.462712\pi\)
\(312\) 9.59418 + 3.70832i 0.543163 + 0.209942i
\(313\) −0.759535 + 1.31555i −0.0429315 + 0.0743595i −0.886693 0.462359i \(-0.847003\pi\)
0.843761 + 0.536719i \(0.180336\pi\)
\(314\) −7.08000 −0.399548
\(315\) 22.8813 + 3.73171i 1.28922 + 0.210258i
\(316\) 2.83821 0.159662
\(317\) 10.7544 18.6272i 0.604029 1.04621i −0.388175 0.921586i \(-0.626894\pi\)
0.992204 0.124623i \(-0.0397723\pi\)
\(318\) −20.7773 + 16.7458i −1.16513 + 0.939058i
\(319\) −0.706261 1.22328i −0.0395430 0.0684905i
\(320\) 31.9200 1.78439
\(321\) 23.6109 19.0295i 1.31783 1.06213i
\(322\) 13.9198 9.04032i 0.775721 0.503797i
\(323\) −7.30441 −0.406428
\(324\) −30.2712 13.8143i −1.68173 0.767459i
\(325\) −2.58856 + 4.48352i −0.143588 + 0.248701i
\(326\) −0.927430 −0.0513656
\(327\) −25.2002 9.74032i −1.39357 0.538641i
\(328\) 3.66315 6.34476i 0.202263 0.350330i
\(329\) −8.82917 + 5.73417i −0.486768 + 0.316135i
\(330\) 15.2473 + 5.89336i 0.839337 + 0.324419i
\(331\) −9.73902 + 16.8685i −0.535305 + 0.927175i 0.463844 + 0.885917i \(0.346470\pi\)
−0.999149 + 0.0412580i \(0.986863\pi\)
\(332\) −3.63691 + 6.29931i −0.199601 + 0.345719i
\(333\) −24.1450 21.9431i −1.32314 1.20248i
\(334\) −8.70942 15.0852i −0.476558 0.825423i
\(335\) 18.7107 + 32.4079i 1.02228 + 1.77063i
\(336\) −6.95699 7.76198i −0.379535 0.423451i
\(337\) 4.84742 8.39598i 0.264056 0.457358i −0.703260 0.710933i \(-0.748273\pi\)
0.967316 + 0.253575i \(0.0816063\pi\)
\(338\) 25.8995 1.40875
\(339\) −2.72888 1.05476i −0.148212 0.0572867i
\(340\) 35.7472 1.93866
\(341\) 2.21642 + 3.83896i 0.120026 + 0.207891i
\(342\) 15.0496 4.81312i 0.813788 0.260264i
\(343\) 2.89912 + 18.2919i 0.156538 + 0.987672i
\(344\) 8.79558 + 15.2344i 0.474226 + 0.821383i
\(345\) −2.04972 13.1378i −0.110353 0.707318i
\(346\) −4.83948 8.38222i −0.260172 0.450631i
\(347\) −1.01302 1.75460i −0.0543817 0.0941919i 0.837553 0.546356i \(-0.183985\pi\)
−0.891935 + 0.452164i \(0.850652\pi\)
\(348\) 6.23246 + 2.40896i 0.334095 + 0.129134i
\(349\) 8.14577 + 14.1089i 0.436033 + 0.755231i 0.997379 0.0723497i \(-0.0230498\pi\)
−0.561346 + 0.827581i \(0.689716\pi\)
\(350\) 18.7031 12.1469i 0.999722 0.649276i
\(351\) 7.60419 + 0.451400i 0.405882 + 0.0240939i
\(352\) 1.80896 + 3.13321i 0.0964180 + 0.167001i
\(353\) 17.0614 0.908089 0.454045 0.890979i \(-0.349981\pi\)
0.454045 + 0.890979i \(0.349981\pi\)
\(354\) 7.78387 + 49.8913i 0.413708 + 2.65169i
\(355\) −37.7309 −2.00255
\(356\) 11.8440 20.5144i 0.627731 1.08726i
\(357\) 10.1247 + 11.2963i 0.535859 + 0.597862i
\(358\) −12.6323 21.8798i −0.667639 1.15639i
\(359\) 1.48363 + 2.56972i 0.0783030 + 0.135625i 0.902518 0.430652i \(-0.141717\pi\)
−0.824215 + 0.566277i \(0.808383\pi\)
\(360\) −33.8091 + 10.8127i −1.78189 + 0.569881i
\(361\) 7.06549 12.2378i 0.371868 0.644094i
\(362\) −23.4285 + 40.5794i −1.23137 + 2.13280i
\(363\) −2.44770 15.6887i −0.128471 0.823444i
\(364\) 12.7773 + 6.50979i 0.669712 + 0.341206i
\(365\) −15.2695 + 26.4475i −0.799240 + 1.38432i
\(366\) −1.80171 + 1.45211i −0.0941767 + 0.0759031i
\(367\) −10.1575 −0.530216 −0.265108 0.964219i \(-0.585408\pi\)
−0.265108 + 0.964219i \(0.585408\pi\)
\(368\) −2.98914 + 5.17733i −0.155819 + 0.269887i
\(369\) 1.15259 5.30190i 0.0600014 0.276006i
\(370\) −75.8207 −3.94173
\(371\) −14.3225 + 9.30182i −0.743585 + 0.482927i
\(372\) −19.5591 7.55992i −1.01409 0.391964i
\(373\) −25.4846 −1.31954 −0.659771 0.751467i \(-0.729347\pi\)
−0.659771 + 0.751467i \(0.729347\pi\)
\(374\) 5.34798 + 9.26297i 0.276537 + 0.478977i
\(375\) 1.14527 + 7.34068i 0.0591414 + 0.379071i
\(376\) 8.05947 13.9594i 0.415635 0.719902i
\(377\) −1.52969 −0.0787829
\(378\) −28.3039 16.6026i −1.45580 0.853947i
\(379\) 9.85497 0.506216 0.253108 0.967438i \(-0.418547\pi\)
0.253108 + 0.967438i \(0.418547\pi\)
\(380\) 11.9143 20.6362i 0.611191 1.05861i
\(381\) −1.05977 6.79266i −0.0542935 0.347998i
\(382\) 9.89016 + 17.1303i 0.506025 + 0.876460i
\(383\) −27.3127 −1.39561 −0.697806 0.716286i \(-0.745840\pi\)
−0.697806 + 0.716286i \(0.745840\pi\)
\(384\) −33.5056 12.9505i −1.70983 0.660878i
\(385\) 9.32130 + 4.74903i 0.475057 + 0.242033i
\(386\) 44.8370 2.28214
\(387\) 9.64109 + 8.76190i 0.490084 + 0.445392i
\(388\) −15.3114 + 26.5202i −0.777321 + 1.34636i
\(389\) 4.18446 0.212161 0.106080 0.994358i \(-0.466170\pi\)
0.106080 + 0.994358i \(0.466170\pi\)
\(390\) 13.7832 11.1088i 0.697938 0.562513i
\(391\) 4.35019 7.53475i 0.219999 0.381049i
\(392\) −16.6688 22.9393i −0.841904 1.15861i
\(393\) 1.42274 + 9.11914i 0.0717676 + 0.460000i
\(394\) 7.15624 12.3950i 0.360526 0.624450i
\(395\) 1.12114 1.94187i 0.0564107 0.0977062i
\(396\) −11.1115 10.0982i −0.558374 0.507454i
\(397\) 15.3354 + 26.5618i 0.769664 + 1.33310i 0.937745 + 0.347323i \(0.112909\pi\)
−0.168082 + 0.985773i \(0.553757\pi\)
\(398\) −17.1958 29.7840i −0.861948 1.49294i
\(399\) 9.89564 2.07986i 0.495402 0.104123i
\(400\) −4.01629 + 6.95642i −0.200815 + 0.347821i
\(401\) −6.84803 −0.341974 −0.170987 0.985273i \(-0.554696\pi\)
−0.170987 + 0.985273i \(0.554696\pi\)
\(402\) −8.16482 52.3330i −0.407224 2.61014i
\(403\) 4.80055 0.239132
\(404\) 29.9961 + 51.9547i 1.49236 + 2.58485i
\(405\) −21.4092 + 15.2543i −1.06383 + 0.757994i
\(406\) 5.87130 + 2.99132i 0.291388 + 0.148457i
\(407\) −7.36113 12.7499i −0.364878 0.631987i
\(408\) −21.6639 8.37348i −1.07252 0.414549i
\(409\) 9.13490 + 15.8221i 0.451692 + 0.782353i 0.998491 0.0549104i \(-0.0174873\pi\)
−0.546799 + 0.837264i \(0.684154\pi\)
\(410\) −6.30445 10.9196i −0.311355 0.539282i
\(411\) −2.00127 12.8273i −0.0987154 0.632724i
\(412\) 4.11646 + 7.12991i 0.202803 + 0.351265i
\(413\) 1.69237 + 32.2709i 0.0832763 + 1.58795i
\(414\) −3.99798 + 18.3906i −0.196490 + 0.903851i
\(415\) 2.87328 + 4.97666i 0.141044 + 0.244295i
\(416\) 3.91802 0.192097
\(417\) 22.7241 + 8.78327i 1.11280 + 0.430119i
\(418\) 7.12979 0.348729
\(419\) 11.2310 19.4526i 0.548669 0.950322i −0.449698 0.893181i \(-0.648468\pi\)
0.998366 0.0571410i \(-0.0181984\pi\)
\(420\) −48.4285 + 10.1786i −2.36307 + 0.496667i
\(421\) 10.4177 + 18.0440i 0.507728 + 0.879411i 0.999960 + 0.00894684i \(0.00284791\pi\)
−0.492232 + 0.870464i \(0.663819\pi\)
\(422\) 16.5271 + 28.6258i 0.804527 + 1.39348i
\(423\) 2.53587 11.6650i 0.123298 0.567170i
\(424\) 13.0739 22.6446i 0.634923 1.09972i
\(425\) 5.84505 10.1239i 0.283526 0.491082i
\(426\) 49.8127 + 19.2535i 2.41343 + 0.932834i
\(427\) −1.24197 + 0.806608i −0.0601033 + 0.0390345i
\(428\) −32.3649 + 56.0577i −1.56442 + 2.70965i
\(429\) 3.20618 + 1.23925i 0.154796 + 0.0598313i
\(430\) 30.2752 1.46000
\(431\) −10.1213 + 17.5307i −0.487527 + 0.844422i −0.999897 0.0143427i \(-0.995434\pi\)
0.512370 + 0.858765i \(0.328768\pi\)
\(432\) 11.7983 + 0.700370i 0.567646 + 0.0336966i
\(433\) −21.6764 −1.04170 −0.520851 0.853648i \(-0.674385\pi\)
−0.520851 + 0.853648i \(0.674385\pi\)
\(434\) −18.4256 9.38751i −0.884458 0.450615i
\(435\) 4.11011 3.31260i 0.197065 0.158827i
\(436\) 57.6693 2.76186
\(437\) −2.89978 5.02257i −0.138715 0.240262i
\(438\) 33.6546 27.1244i 1.60808 1.29606i
\(439\) 17.7390 30.7249i 0.846639 1.46642i −0.0375520 0.999295i \(-0.511956\pi\)
0.884191 0.467126i \(-0.154711\pi\)
\(440\) −16.0172 −0.763589
\(441\) −16.9330 12.4207i −0.806333 0.591462i
\(442\) 11.5832 0.550955
\(443\) 9.60313 16.6331i 0.456258 0.790263i −0.542501 0.840055i \(-0.682523\pi\)
0.998760 + 0.0497923i \(0.0158559\pi\)
\(444\) 64.9590 + 25.1078i 3.08282 + 1.19156i
\(445\) −9.35716 16.2071i −0.443572 0.768289i
\(446\) 11.1589 0.528390
\(447\) 0.581980 + 3.73025i 0.0275267 + 0.176435i
\(448\) −25.7626 13.1256i −1.21717 0.620125i
\(449\) −29.6082 −1.39730 −0.698648 0.715465i \(-0.746215\pi\)
−0.698648 + 0.715465i \(0.746215\pi\)
\(450\) −5.37180 + 24.7102i −0.253229 + 1.16485i
\(451\) 1.22415 2.12029i 0.0576429 0.0998405i
\(452\) 6.24488 0.293735
\(453\) 3.74539 + 24.0064i 0.175974 + 1.12792i
\(454\) 23.5257 40.7478i 1.10412 1.91239i
\(455\) 9.50117 6.17060i 0.445422 0.289282i
\(456\) −12.0543 + 9.71534i −0.564494 + 0.454963i
\(457\) 4.78098 8.28090i 0.223645 0.387364i −0.732267 0.681017i \(-0.761538\pi\)
0.955912 + 0.293653i \(0.0948711\pi\)
\(458\) 33.5031 58.0290i 1.56550 2.71152i
\(459\) −17.1705 1.01927i −0.801449 0.0475756i
\(460\) 14.1913 + 24.5800i 0.661673 + 1.14605i
\(461\) 10.9187 + 18.9118i 0.508536 + 0.880809i 0.999951 + 0.00988416i \(0.00314628\pi\)
−0.491416 + 0.870925i \(0.663520\pi\)
\(462\) −9.88271 11.0262i −0.459785 0.512986i
\(463\) 13.0744 22.6456i 0.607621 1.05243i −0.384010 0.923329i \(-0.625457\pi\)
0.991631 0.129102i \(-0.0412094\pi\)
\(464\) −2.37339 −0.110182
\(465\) −12.8986 + 10.3958i −0.598157 + 0.482093i
\(466\) −32.9442 −1.52611
\(467\) −17.4764 30.2699i −0.808709 1.40073i −0.913758 0.406258i \(-0.866833\pi\)
0.105049 0.994467i \(-0.466500\pi\)
\(468\) −15.4873 + 4.95311i −0.715901 + 0.228958i
\(469\) −1.77520 33.8502i −0.0819711 1.56306i
\(470\) −13.8707 24.0248i −0.639809 1.10818i
\(471\) 4.00017 3.22400i 0.184318 0.148554i
\(472\) −24.7386 42.8485i −1.13869 1.97226i
\(473\) 2.93930 + 5.09102i 0.135149 + 0.234086i
\(474\) −2.47105 + 1.99158i −0.113499 + 0.0914761i
\(475\) −3.89623 6.74848i −0.178771 0.309641i
\(476\) −28.8515 14.6993i −1.32240 0.673741i
\(477\) 4.11362 18.9226i 0.188350 0.866407i
\(478\) −13.2010 22.8649i −0.603801 1.04581i
\(479\) −29.8109 −1.36209 −0.681047 0.732240i \(-0.738475\pi\)
−0.681047 + 0.732240i \(0.738475\pi\)
\(480\) −10.5273 + 8.48465i −0.480504 + 0.387270i
\(481\) −15.9434 −0.726959
\(482\) −27.6516 + 47.8939i −1.25949 + 2.18151i
\(483\) −3.74797 + 11.4464i −0.170539 + 0.520828i
\(484\) 16.9467 + 29.3525i 0.770304 + 1.33421i
\(485\) 12.0965 + 20.9518i 0.549276 + 0.951374i
\(486\) 36.0487 9.21415i 1.63520 0.417962i
\(487\) −11.2253 + 19.4428i −0.508667 + 0.881037i 0.491283 + 0.871000i \(0.336528\pi\)
−0.999950 + 0.0100365i \(0.996805\pi\)
\(488\) 1.13370 1.96363i 0.0513202 0.0888892i
\(489\) 0.523994 0.422321i 0.0236958 0.0190980i
\(490\) −48.5344 + 5.10459i −2.19256 + 0.230602i
\(491\) 17.5222 30.3494i 0.790767 1.36965i −0.134726 0.990883i \(-0.543016\pi\)
0.925493 0.378765i \(-0.123651\pi\)
\(492\) 1.78530 + 11.4430i 0.0804877 + 0.515893i
\(493\) 3.45407 0.155564
\(494\) 3.86060 6.68675i 0.173696 0.300851i
\(495\) −11.2983 + 3.61340i −0.507821 + 0.162410i
\(496\) 7.44830 0.334438
\(497\) 30.4525 + 15.5150i 1.36598 + 0.695943i
\(498\) −1.25381 8.03642i −0.0561848 0.360121i
\(499\) −8.93520 −0.399994 −0.199997 0.979796i \(-0.564093\pi\)
−0.199997 + 0.979796i \(0.564093\pi\)
\(500\) −7.92929 13.7339i −0.354609 0.614200i
\(501\) 11.7901 + 4.55707i 0.526742 + 0.203595i
\(502\) −9.28972 + 16.0903i −0.414621 + 0.718144i
\(503\) −12.6403 −0.563603 −0.281802 0.959473i \(-0.590932\pi\)
−0.281802 + 0.959473i \(0.590932\pi\)
\(504\) 31.7334 + 5.17540i 1.41352 + 0.230531i
\(505\) 47.3958 2.10909
\(506\) −4.24620 + 7.35463i −0.188766 + 0.326953i
\(507\) −14.6331 + 11.7938i −0.649880 + 0.523781i
\(508\) 7.33732 + 12.7086i 0.325541 + 0.563854i
\(509\) −28.1110 −1.24600 −0.623000 0.782222i \(-0.714086\pi\)
−0.623000 + 0.782222i \(0.714086\pi\)
\(510\) −31.1228 + 25.0839i −1.37814 + 1.11073i
\(511\) 23.1992 15.0669i 1.02627 0.666519i
\(512\) 24.5070 1.08307
\(513\) −6.31121 + 9.57247i −0.278647 + 0.422635i
\(514\) 12.3830 21.4480i 0.546192 0.946033i
\(515\) 6.50427 0.286613
\(516\) −25.9382 10.0256i −1.14186 0.441351i
\(517\) 2.69331 4.66495i 0.118452 0.205164i
\(518\) 61.1947 + 31.1776i 2.68874 + 1.36986i
\(519\) 6.55127 + 2.53218i 0.287569 + 0.111150i
\(520\) −8.67288 + 15.0219i −0.380331 + 0.658753i
\(521\) 4.23768 7.33988i 0.185656 0.321566i −0.758141 0.652090i \(-0.773892\pi\)
0.943797 + 0.330524i \(0.107226\pi\)
\(522\) −7.11657 + 2.27601i −0.311484 + 0.0996181i
\(523\) 16.7236 + 28.9662i 0.731273 + 1.26660i 0.956339 + 0.292259i \(0.0944069\pi\)
−0.225066 + 0.974344i \(0.572260\pi\)
\(524\) −9.85035 17.0613i −0.430315 0.745327i
\(525\) −5.03589 + 15.3797i −0.219784 + 0.671225i
\(526\) −22.8341 + 39.5498i −0.995613 + 1.72445i
\(527\) −10.8398 −0.472187
\(528\) 4.97456 + 1.92275i 0.216490 + 0.0836771i
\(529\) −16.0921 −0.699655
\(530\) −22.5008 38.9725i −0.977371 1.69286i
\(531\) −27.1167 24.6439i −1.17677 1.06945i
\(532\) −18.1016 + 11.7562i −0.784806 + 0.509698i
\(533\) −1.32569 2.29616i −0.0574220 0.0994579i
\(534\) 4.08319 + 26.1715i 0.176697 + 1.13255i
\(535\) 25.5693 + 44.2874i 1.10546 + 1.91471i
\(536\) 25.9493 + 44.9456i 1.12084 + 1.94135i
\(537\) 17.1006 + 6.60968i 0.737944 + 0.285229i
\(538\) 10.5461 + 18.2665i 0.454677 + 0.787523i
\(539\) −5.57039 7.66586i −0.239934 0.330192i
\(540\) 30.8866 46.8469i 1.32915 2.01597i
\(541\) −9.12929 15.8124i −0.392499 0.679828i 0.600280 0.799790i \(-0.295056\pi\)
−0.992778 + 0.119962i \(0.961723\pi\)
\(542\) −43.7730 −1.88021
\(543\) −5.24149 33.5957i −0.224934 1.44173i
\(544\) −8.84701 −0.379312
\(545\) 22.7803 39.4567i 0.975802 1.69014i
\(546\) −15.6923 + 3.29819i −0.671568 + 0.141149i
\(547\) −2.88599 4.99869i −0.123396 0.213728i 0.797709 0.603043i \(-0.206045\pi\)
−0.921105 + 0.389315i \(0.872712\pi\)
\(548\) 13.8558 + 23.9990i 0.591892 + 1.02519i
\(549\) 0.356713 1.64088i 0.0152241 0.0700309i
\(550\) −5.70532 + 9.88190i −0.243276 + 0.421366i
\(551\) 1.15122 1.99397i 0.0490437 0.0849461i
\(552\) −2.84269 18.2205i −0.120993 0.775515i
\(553\) −1.70337 + 1.10627i −0.0724346 + 0.0470432i
\(554\) 6.09227 10.5521i 0.258836 0.448317i
\(555\) 42.8384 34.5262i 1.81839 1.46556i
\(556\) −52.0029 −2.20541
\(557\) 16.6911 28.9098i 0.707223 1.22495i −0.258661 0.965968i \(-0.583281\pi\)
0.965883 0.258977i \(-0.0833855\pi\)
\(558\) 22.3336 7.14268i 0.945457 0.302374i
\(559\) 6.36623 0.269263
\(560\) 14.7416 9.57402i 0.622945 0.404576i
\(561\) −7.23964 2.79825i −0.305658 0.118142i
\(562\) −4.07286 −0.171803
\(563\) −1.09566 1.89773i −0.0461764 0.0799799i 0.842013 0.539457i \(-0.181370\pi\)
−0.888190 + 0.459477i \(0.848037\pi\)
\(564\) 3.92794 + 25.1764i 0.165396 + 1.06012i
\(565\) 2.46683 4.27268i 0.103780 0.179753i
\(566\) 29.8079 1.25292
\(567\) 23.5519 3.50826i 0.989087 0.147333i
\(568\) −52.3278 −2.19563
\(569\) −9.49302 + 16.4424i −0.397968 + 0.689301i −0.993475 0.114049i \(-0.963618\pi\)
0.595507 + 0.803350i \(0.296951\pi\)
\(570\) 4.10743 + 26.3269i 0.172041 + 1.10271i
\(571\) 10.8690 + 18.8257i 0.454854 + 0.787831i 0.998680 0.0513674i \(-0.0163580\pi\)
−0.543825 + 0.839198i \(0.683025\pi\)
\(572\) −7.33717 −0.306782
\(573\) −13.3885 5.17488i −0.559311 0.216184i
\(574\) 0.598142 + 11.4056i 0.0249660 + 0.476061i
\(575\) 9.28172 0.387074
\(576\) 31.2267 9.98686i 1.30111 0.416119i
\(577\) −15.4516 + 26.7629i −0.643258 + 1.11416i 0.341443 + 0.939903i \(0.389084\pi\)
−0.984701 + 0.174253i \(0.944249\pi\)
\(578\) 14.4217 0.599862
\(579\) −25.3327 + 20.4173i −1.05279 + 0.848513i
\(580\) −5.63398 + 9.75835i −0.233938 + 0.405193i
\(581\) −0.272605 5.19815i −0.0113096 0.215655i
\(582\) −5.27858 33.8335i −0.218804 1.40244i
\(583\) 4.36902 7.56737i 0.180946 0.313408i
\(584\) −21.1767 + 36.6792i −0.876299 + 1.51780i
\(585\) −2.72888 + 12.5528i −0.112825 + 0.518994i
\(586\) 6.21069 + 10.7572i 0.256561 + 0.444377i
\(587\) −9.18332 15.9060i −0.379036 0.656510i 0.611886 0.790946i \(-0.290411\pi\)
−0.990922 + 0.134436i \(0.957078\pi\)
\(588\) 43.2720 + 11.6987i 1.78451 + 0.482446i
\(589\) −3.61282 + 6.25759i −0.148864 + 0.257840i
\(590\) −85.1527 −3.50568
\(591\) 1.60101 + 10.2618i 0.0658569 + 0.422115i
\(592\) −24.7371 −1.01669
\(593\) 13.8775 + 24.0365i 0.569880 + 0.987061i 0.996577 + 0.0826662i \(0.0263435\pi\)
−0.426698 + 0.904394i \(0.640323\pi\)
\(594\) 16.7600 + 0.994906i 0.687671 + 0.0408215i
\(595\) −21.4539 + 13.9334i −0.879524 + 0.571213i
\(596\) −4.02936 6.97905i −0.165049 0.285873i
\(597\) 23.2782 + 8.99745i 0.952715 + 0.368241i
\(598\) 4.59841 + 7.96468i 0.188043 + 0.325700i
\(599\) −0.201412 0.348855i −0.00822945 0.0142538i 0.861881 0.507110i \(-0.169286\pi\)
−0.870111 + 0.492856i \(0.835953\pi\)
\(600\) −3.81953 24.4816i −0.155932 0.999456i
\(601\) 12.3733 + 21.4312i 0.504717 + 0.874196i 0.999985 + 0.00545577i \(0.00173663\pi\)
−0.495268 + 0.868740i \(0.664930\pi\)
\(602\) −24.4351 12.4492i −0.995899 0.507392i
\(603\) 28.4438 + 25.8500i 1.15832 + 1.05269i
\(604\) −25.9313 44.9143i −1.05513 1.82754i
\(605\) 26.7769 1.08864
\(606\) −62.5724 24.1853i −2.54183 0.982462i
\(607\) 24.0697 0.976957 0.488479 0.872576i \(-0.337552\pi\)
0.488479 + 0.872576i \(0.337552\pi\)
\(608\) −2.94865 + 5.10721i −0.119584 + 0.207125i
\(609\) −4.67941 + 0.983513i −0.189619 + 0.0398539i
\(610\) −1.95115 3.37950i −0.0789999 0.136832i
\(611\) −2.91672 5.05190i −0.117998 0.204378i
\(612\) 34.9707 11.1843i 1.41361 0.452097i
\(613\) 10.1907 17.6509i 0.411600 0.712912i −0.583465 0.812138i \(-0.698303\pi\)
0.995065 + 0.0992261i \(0.0316367\pi\)
\(614\) 5.96879 10.3382i 0.240881 0.417218i
\(615\) 8.53443 + 3.29871i 0.344142 + 0.133017i
\(616\) 12.9274 + 6.58628i 0.520861 + 0.265369i
\(617\) −20.9315 + 36.2544i −0.842669 + 1.45955i 0.0449604 + 0.998989i \(0.485684\pi\)
−0.887630 + 0.460558i \(0.847650\pi\)
\(618\) −8.58700 3.31903i −0.345420 0.133511i
\(619\) 14.8219 0.595743 0.297871 0.954606i \(-0.403723\pi\)
0.297871 + 0.954606i \(0.403723\pi\)
\(620\) 17.6809 30.6242i 0.710081 1.22990i
\(621\) −6.11565 12.2112i −0.245413 0.490018i
\(622\) 77.3270 3.10053
\(623\) 0.887770 + 16.9284i 0.0355678 + 0.678221i
\(624\) 4.49687 3.62432i 0.180019 0.145089i
\(625\) −30.1861 −1.20744
\(626\) 1.81291 + 3.14005i 0.0724585 + 0.125502i
\(627\) −4.02830 + 3.24667i −0.160875 + 0.129660i
\(628\) −5.48329 + 9.49734i −0.218807 + 0.378985i
\(629\) 36.0007 1.43544
\(630\) 35.0212 42.8442i 1.39528 1.70696i
\(631\) −21.0294 −0.837169 −0.418585 0.908178i \(-0.637474\pi\)
−0.418585 + 0.908178i \(0.637474\pi\)
\(632\) 1.55487 2.69312i 0.0618496 0.107127i
\(633\) −22.3730 8.64756i −0.889247 0.343710i
\(634\) −25.6694 44.4607i −1.01946 1.76576i
\(635\) 11.5935 0.460072
\(636\) 6.37180 + 40.8406i 0.252658 + 1.61943i
\(637\) −10.2057 + 1.07339i −0.404366 + 0.0425291i
\(638\) −3.37150 −0.133479
\(639\) −36.9114 + 11.8049i −1.46019 + 0.466995i
\(640\) 30.2882 52.4607i 1.19725 2.07369i
\(641\) 11.9318 0.471279 0.235640 0.971840i \(-0.424281\pi\)
0.235640 + 0.971840i \(0.424281\pi\)
\(642\) −11.1577 71.5163i −0.440360 2.82252i
\(643\) −19.9678 + 34.5852i −0.787452 + 1.36391i 0.140072 + 0.990141i \(0.455267\pi\)
−0.927524 + 0.373765i \(0.878067\pi\)
\(644\) −1.34641 25.6740i −0.0530562 1.01170i
\(645\) −17.1054 + 13.7863i −0.673524 + 0.542837i
\(646\) −8.71733 + 15.0989i −0.342979 + 0.594057i
\(647\) 0.494477 0.856459i 0.0194399 0.0336709i −0.856142 0.516741i \(-0.827145\pi\)
0.875582 + 0.483070i \(0.160478\pi\)
\(648\) −29.6917 + 21.1558i −1.16640 + 0.831077i
\(649\) −8.26714 14.3191i −0.324514 0.562074i
\(650\) 6.17856 + 10.7016i 0.242343 + 0.419751i
\(651\) 14.6852 3.08651i 0.575557 0.120970i
\(652\) −0.718272 + 1.24408i −0.0281297 + 0.0487221i
\(653\) 22.7147 0.888894 0.444447 0.895805i \(-0.353400\pi\)
0.444447 + 0.895805i \(0.353400\pi\)
\(654\) −50.2089 + 40.4666i −1.96332 + 1.58237i
\(655\) −15.5642 −0.608144
\(656\) −2.05688 3.56262i −0.0803076 0.139097i
\(657\) −6.66315 + 30.6504i −0.259954 + 1.19579i
\(658\) 1.31600 + 25.0940i 0.0513031 + 0.978267i
\(659\) −19.1943 33.2454i −0.747702 1.29506i −0.948922 0.315512i \(-0.897824\pi\)
0.201220 0.979546i \(-0.435509\pi\)
\(660\) 19.7142 15.8890i 0.767374 0.618477i
\(661\) −16.9629 29.3806i −0.659780 1.14277i −0.980672 0.195657i \(-0.937316\pi\)
0.320892 0.947116i \(-0.396017\pi\)
\(662\) 23.2458 + 40.2628i 0.903472 + 1.56486i
\(663\) −6.54444 + 5.27459i −0.254165 + 0.204848i
\(664\) 3.98486 + 6.90198i 0.154642 + 0.267849i
\(665\) 0.893040 + 17.0288i 0.0346306 + 0.660350i
\(666\) −74.1738 + 23.7221i −2.87418 + 0.919213i
\(667\) 1.37124 + 2.37505i 0.0530944 + 0.0919623i
\(668\) −26.9809 −1.04392
\(669\) −6.30475 + 5.08140i −0.243756 + 0.196458i
\(670\) 89.3201 3.45074
\(671\) 0.378860 0.656205i 0.0146257 0.0253325i
\(672\) 11.9855 2.51909i 0.462350 0.0971762i
\(673\) −16.1030 27.8912i −0.620725 1.07513i −0.989351 0.145549i \(-0.953505\pi\)
0.368626 0.929578i \(-0.379828\pi\)
\(674\) −11.5702 20.0401i −0.445666 0.771916i
\(675\) −8.21718 16.4073i −0.316279 0.631518i
\(676\) 20.0585 34.7424i 0.771483 1.33625i
\(677\) 18.9842 32.8816i 0.729622 1.26374i −0.227421 0.973797i \(-0.573029\pi\)
0.957043 0.289946i \(-0.0936375\pi\)
\(678\) −5.43702 + 4.38204i −0.208807 + 0.168291i
\(679\) −1.14767 21.8843i −0.0440436 0.839842i
\(680\) 19.5836 33.9198i 0.750997 1.30076i
\(681\) 5.26324 + 33.7352i 0.201688 + 1.29273i
\(682\) 10.5806 0.405153
\(683\) 7.59357 13.1525i 0.290560 0.503265i −0.683382 0.730061i \(-0.739492\pi\)
0.973942 + 0.226796i \(0.0728251\pi\)
\(684\) 5.19906 23.9156i 0.198791 0.914436i
\(685\) 21.8932 0.836495
\(686\) 41.2710 + 15.8375i 1.57573 + 0.604678i
\(687\) 7.49540 + 48.0424i 0.285967 + 1.83293i
\(688\) 9.87754 0.376578
\(689\) −4.73142 8.19507i −0.180253 0.312207i
\(690\) −29.6033 11.4422i −1.12698 0.435597i
\(691\) −1.34574 + 2.33089i −0.0511943 + 0.0886711i −0.890487 0.455009i \(-0.849636\pi\)
0.839293 + 0.543680i \(0.182969\pi\)
\(692\) −14.9922 −0.569919
\(693\) 10.6047 + 1.72951i 0.402838 + 0.0656988i
\(694\) −4.83589 −0.183568
\(695\) −20.5420 + 35.5798i −0.779203 + 1.34962i
\(696\) 5.70018 4.59415i 0.216065 0.174141i
\(697\) 2.99344 + 5.18480i 0.113385 + 0.196388i
\(698\) 38.8858 1.47185
\(699\) 18.6133 15.0017i 0.704021 0.567416i
\(700\) −1.80908 34.4963i −0.0683769 1.30384i
\(701\) −11.8515 −0.447625 −0.223813 0.974632i \(-0.571850\pi\)
−0.223813 + 0.974632i \(0.571850\pi\)
\(702\) 10.0082 15.1798i 0.377735 0.572925i
\(703\) 11.9988 20.7826i 0.452544 0.783829i
\(704\) 14.7938 0.557562
\(705\) 18.7770 + 7.25765i 0.707184 + 0.273339i
\(706\) 20.3617 35.2675i 0.766323 1.32731i
\(707\) −38.2530 19.4892i −1.43865 0.732967i
\(708\) 72.9542 + 28.1981i 2.74179 + 1.05975i
\(709\) 20.5167 35.5359i 0.770520 1.33458i −0.166759 0.985998i \(-0.553330\pi\)
0.937278 0.348582i \(-0.113337\pi\)
\(710\) −45.0294 + 77.9931i −1.68992 + 2.92703i
\(711\) 0.489233 2.25047i 0.0183477 0.0843991i
\(712\) −12.9772 22.4771i −0.486339 0.842364i
\(713\) −4.30328 7.45351i −0.161159 0.279136i
\(714\) 35.4336 7.44740i 1.32607 0.278712i
\(715\) −2.89830 + 5.02001i −0.108390 + 0.187738i
\(716\) −39.1337 −1.46250
\(717\) 17.8704 + 6.90724i 0.667384 + 0.257956i
\(718\) 7.08246 0.264315
\(719\) 10.4555 + 18.1094i 0.389923 + 0.675366i 0.992439 0.122741i \(-0.0391685\pi\)
−0.602516 + 0.798107i \(0.705835\pi\)
\(720\) −4.23400 + 19.4763i −0.157792 + 0.725840i
\(721\) −5.24958 2.67457i −0.195505 0.0996060i
\(722\) −16.8644 29.2100i −0.627628 1.08708i
\(723\) −6.18629 39.6515i −0.230071 1.47466i
\(724\) 36.2896 + 62.8554i 1.34869 + 2.33600i
\(725\) 1.84243 + 3.19119i 0.0684263 + 0.118518i
\(726\) −35.3511 13.6638i −1.31200 0.507112i
\(727\) 1.32165 + 2.28917i 0.0490173 + 0.0849005i 0.889493 0.456949i \(-0.151058\pi\)
−0.840476 + 0.541849i \(0.817724\pi\)
\(728\) 13.1769 8.55782i 0.488368 0.317174i
\(729\) −16.1715 + 21.6213i −0.598945 + 0.800790i
\(730\) 36.4462 + 63.1267i 1.34893 + 2.33642i
\(731\) −14.3751 −0.531683
\(732\) 0.552531 + 3.54149i 0.0204221 + 0.130897i
\(733\) 14.1489 0.522602 0.261301 0.965257i \(-0.415848\pi\)
0.261301 + 0.965257i \(0.415848\pi\)
\(734\) −12.1223 + 20.9964i −0.447442 + 0.774992i
\(735\) 25.0973 24.9850i 0.925727 0.921587i
\(736\) −3.51218 6.08327i −0.129461 0.224232i
\(737\) 8.67174 + 15.0199i 0.319428 + 0.553265i
\(738\) −9.58396 8.70997i −0.352790 0.320619i
\(739\) −7.85905 + 13.6123i −0.289100 + 0.500736i −0.973595 0.228282i \(-0.926689\pi\)
0.684495 + 0.729017i \(0.260023\pi\)
\(740\) −58.7212 + 101.708i −2.15864 + 3.73887i
\(741\) 0.863704 + 5.53598i 0.0317289 + 0.203369i
\(742\) 2.13478 + 40.7069i 0.0783704 + 1.49440i
\(743\) 10.5496 18.2724i 0.387026 0.670348i −0.605022 0.796208i \(-0.706836\pi\)
0.992048 + 0.125861i \(0.0401692\pi\)
\(744\) −17.8886 + 14.4176i −0.655828 + 0.528575i
\(745\) −6.36665 −0.233256
\(746\) −30.4142 + 52.6789i −1.11354 + 1.92871i
\(747\) 4.36792 + 3.96960i 0.159814 + 0.145240i
\(748\) 16.5675 0.605768
\(749\) −2.42592 46.2584i −0.0886412 1.69025i
\(750\) 16.5406 + 6.39325i 0.603979 + 0.233449i
\(751\) 13.0370 0.475725 0.237863 0.971299i \(-0.423553\pi\)
0.237863 + 0.971299i \(0.423553\pi\)
\(752\) −4.52544 7.83829i −0.165026 0.285833i
\(753\) −2.07832 13.3212i −0.0757383 0.485451i
\(754\) −1.82558 + 3.16200i −0.0664838 + 0.115153i
\(755\) −40.9732 −1.49117
\(756\) −44.1920 + 25.1094i −1.60725 + 0.913221i
\(757\) −12.6856 −0.461065 −0.230532 0.973065i \(-0.574047\pi\)
−0.230532 + 0.973065i \(0.574047\pi\)
\(758\) 11.7613 20.3711i 0.427188 0.739912i
\(759\) −0.949971 6.08891i −0.0344818 0.221014i
\(760\) −13.0542 22.6105i −0.473525 0.820169i
\(761\) −6.04077 −0.218978 −0.109489 0.993988i \(-0.534921\pi\)
−0.109489 + 0.993988i \(0.534921\pi\)
\(762\) −15.3058 5.91596i −0.554470 0.214313i
\(763\) −34.6106 + 22.4781i −1.25299 + 0.813761i
\(764\) 30.6388 1.10847
\(765\) 6.16188 28.3446i 0.222783 1.02480i
\(766\) −32.5959 + 56.4577i −1.17774 + 2.03990i
\(767\) −17.9058 −0.646540
\(768\) −37.2815 + 30.0476i −1.34528 + 1.08425i
\(769\) 0.108129 0.187285i 0.00389924 0.00675368i −0.864069 0.503373i \(-0.832092\pi\)
0.867968 + 0.496619i \(0.165425\pi\)
\(770\) 20.9410 13.6003i 0.754662 0.490121i
\(771\) 2.77037 + 17.7569i 0.0997724 + 0.639499i
\(772\) 34.7251 60.1457i 1.24979 2.16469i
\(773\) 18.8132 32.5854i 0.676663 1.17202i −0.299316 0.954154i \(-0.596759\pi\)
0.975980 0.217861i \(-0.0699081\pi\)
\(774\) 29.6176 9.47225i 1.06458 0.340473i